diff --git a/.gitattributes b/.gitattributes index b014d175ba6ff83d72701b0cfd15b4a70a96985c..ab6a9d813c0391e8c042679bef4d6629f4b3b987 100644 --- a/.gitattributes +++ b/.gitattributes @@ -72,3 +72,4 @@ check_if_grid_can_be_cut_into_sections/meta.json filter=lfs diff=lfs merge=lfs - check_if_grid_can_be_cut_into_sections/ocaml_tests/main.ml filter=lfs diff=lfs merge=lfs -text check_if_grid_can_be_cut_into_sections/scala_tests/MySuite.scala filter=lfs diff=lfs merge=lfs -text closest_equal_element_queries/meta.json filter=lfs diff=lfs merge=lfs -text +collect_coins_in_a_tree/meta.json filter=lfs diff=lfs merge=lfs -text diff --git a/collect_coins_in_a_tree/.DS_Store b/collect_coins_in_a_tree/.DS_Store new file mode 100644 index 0000000000000000000000000000000000000000..b06f855bbb5223556fc9a33268878e6b125a5072 Binary files /dev/null and b/collect_coins_in_a_tree/.DS_Store differ diff --git a/collect_coins_in_a_tree/haskell_tests/Main.hs b/collect_coins_in_a_tree/haskell_tests/Main.hs new file mode 100644 index 0000000000000000000000000000000000000000..4d3a45e29c7b4a2b87d1bd8e8419c128c38b03c5 --- /dev/null +++ b/collect_coins_in_a_tree/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 (collectTheCoins [1,0,0,0,0,1] [[0,1],[1,2],[2,3],[3,4],[4,5]])," 2 (collectTheCoins [1,0,0,0,0,1] [[0,1],[1,2],[2,3],[3,4],[4,5]])) + +test2 :: Test +test2 = TestCase (assertEqual "for (collectTheCoins [0,0,0,1,1,0,0,1] [[0,1],[0,2],[1,3],[1,4],[2,5],[5,6],[5,7]])," 2 (collectTheCoins [0,0,0,1,1,0,0,1] [[0,1],[0,2],[1,3],[1,4],[2,5],[5,6],[5,7]])) + + +-- Grouping test cases +tests :: Test +tests = TestList [TestLabel "Test1" test1] + +-- Running the tests +main :: IO Counts +main = runTestTT tests diff --git a/collect_coins_in_a_tree/java_tests/Main.java b/collect_coins_in_a_tree/java_tests/Main.java new file mode 100644 index 0000000000000000000000000000000000000000..2824af1112ffabc7a26665e8a4871aaaf4877499 --- /dev/null +++ b/collect_coins_in_a_tree/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(2, collectTheCoins(new ArrayList<>(Arrays.asList(1,0,0,0,0,1)), new ArrayList<>(Arrays.asList(new ArrayList<>(Arrays.asList(0,1)),new ArrayList<>(Arrays.asList(1,2)),new ArrayList<>(Arrays.asList(2,3)),new ArrayList<>(Arrays.asList(3,4)),new ArrayList<>(Arrays.asList(4,5)))))); +} +@Test +public void test2() { + assertEquals(2, collectTheCoins(new ArrayList<>(Arrays.asList(0,0,0,1,1,0,0,1)), new ArrayList<>(Arrays.asList(new ArrayList<>(Arrays.asList(0,1)),new ArrayList<>(Arrays.asList(0,2)),new ArrayList<>(Arrays.asList(1,3)),new ArrayList<>(Arrays.asList(1,4)),new ArrayList<>(Arrays.asList(2,5)),new ArrayList<>(Arrays.asList(5,6)),new ArrayList<>(Arrays.asList(5,7)))))); +} + +} diff --git a/collect_coins_in_a_tree/meta.json b/collect_coins_in_a_tree/meta.json new file mode 100644 index 0000000000000000000000000000000000000000..d86ab8a5d06f1c86629dc414a650c46759228295 --- /dev/null +++ b/collect_coins_in_a_tree/meta.json @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:c63bd2ffe409b59c8ec2bc3e681aff08ad7090e07972397236f2733219f185ab +size 27078695 diff --git a/collect_coins_in_a_tree/ocaml_tests/main.ml b/collect_coins_in_a_tree/ocaml_tests/main.ml new file mode 100644 index 0000000000000000000000000000000000000000..9b4d2843934673fbd1bf1f013ee15aaa5f81389f --- /dev/null +++ b/collect_coins_in_a_tree/ocaml_tests/main.ml @@ -0,0 +1,26 @@ + +module Main = struct + open OUnit2 + + (* Program start *) + + (* Program end *) + + (* Test cases *) + +let test1 _ = assert_equal 2 (collectTheCoins [1;0;0;0;0;1] [[0;1];[1;2];[2;3];[3;4];[4;5]]) + +let test2 _ = assert_equal 2 (collectTheCoins [0;0;0;1;1;0;0;1] [[0;1];[0;2];[1;3];[1;4];[2;5];[5;6];[5;7]]) + + + (* Grouping test cases *) + let suite = "Test Suite for collectTheCoins" >::: [ + + "test1" >:: test1; + "test2" >:: test2; + ] + + + (* Running the tests *) + let () = run_test_tt_main suite +end diff --git a/collect_coins_in_a_tree/scala_tests/MySuite.scala b/collect_coins_in_a_tree/scala_tests/MySuite.scala new file mode 100644 index 0000000000000000000000000000000000000000..3e3f112afce283e3db13a65625035e706103fdae --- /dev/null +++ b/collect_coins_in_a_tree/scala_tests/MySuite.scala @@ -0,0 +1,12 @@ + +class MySuite extends munit.FunSuite { + + test("test1") { + assertEquals(Main.collectTheCoins(List(1,0,0,0,0,1),List(List(0,1),List(1,2),List(2,3),List(3,4),List(4,5))), 2) + } + + test("test2") { + assertEquals(Main.collectTheCoins(List(0,0,0,1,1,0,0,1),List(List(0,1),List(0,2),List(1,3),List(1,4),List(2,5),List(5,6),List(5,7))), 2) + } + +} diff --git a/collecting_chocolates/haskell_tests/Main.hs b/collecting_chocolates/haskell_tests/Main.hs new file mode 100644 index 0000000000000000000000000000000000000000..929baf0c863875e7c89d836e305b27f8bff18466 --- /dev/null +++ b/collecting_chocolates/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 (minCost [20,1,15] 5)," 13 (minCost [20,1,15] 5)) + +test2 :: Test +test2 = TestCase (assertEqual "for (minCost [1,2,3] 4)," 6 (minCost [1,2,3] 4)) + +test3 :: Test +test3 = TestCase (assertEqual "for (minCost [195199014, 984800196, 607924423, 36348739, 813130315, 153065099, 588296506, 617132062, 781027683, 116629882, 581208811, 569440617, 870838107, 939227748, 574241627, 488909059, 479214749, 920077184, 809104907, 97812621, 739489242, 733086437, 654080955, 987436545, 140526391, 372643245, 149983222, 229866605, 912832555, 986734995, 161610887, 660721797, 431179104, 37923818, 337467714, 344568419, 408880028, 298866142, 586368843, 655456322, 182642371, 81945619, 607613577, 887811013, 626376923, 715066277, 27312739, 242413291, 491056317, 626066721, 329827884, 51373087, 377603455, 285888257, 289189990, 437036712, 51492615, 773483380, 273050223, 239823783, 178687773, 86195843, 311103091, 513170145, 818474194, 861218557, 673632638, 973212016, 990596428, 584797315, 390187131, 16063215, 671830121, 403723544, 368926620, 291577238, 836588088, 603827758, 2606594, 259323471, 249091497, 372920588, 781724843, 390173853, 817933194, 302969239, 164540460, 652257475, 452847149, 751974372, 417340325, 609385790, 325428582, 5518899, 689255278, 306884488, 240441423, 990221737, 127779717, 469798221, 809710543, 76651043, 114721605, 811337085, 838269422, 210573940, 550804251, 151059732, 963856152, 454169768, 649700828, 863499421, 666400114, 739255458, 148479307, 810214197, 701169766, 224247585, 528904494, 677094434, 656368211, 964745763, 285343955, 354199258, 604592293, 84075276, 171162476, 198006259, 792771994, 921766273, 513057436, 442342857, 393647274, 928913521, 129759381, 926801252, 382921119, 590703484, 947689972, 645597832, 80489849, 402504867, 793560817, 304668159, 752099804, 272063343, 237287828, 311417665, 110016486, 391816426, 573541853, 412955906, 774375508, 988828191, 529616010, 365784851, 130714687, 625023361, 51870264, 3921080, 970552943, 831690784, 304632280, 163415864, 945698689, 992319209, 607764312, 916603382, 69904958, 529364651, 877540295, 742675142, 217211577, 929501124, 359606819, 792089571, 628840547, 470317204, 245666470, 538467321, 542525942, 301217535, 254924657, 494655010, 462250827, 480408495, 21908896, 994013811, 32823489, 900377181, 767397312, 536885644, 109915622, 739194012, 394242870, 281165002, 684530302, 642378737, 252917803, 289701811, 920316781, 561202250, 485794592, 985927864, 452933034, 396341427, 464970466, 650547832, 435718719, 407937592, 825524338, 342161946, 794783327, 78363130, 758859001, 339179672, 276222116, 331080978, 355655498, 529702137, 246833303, 444240535, 390433754, 383207254, 685984136, 776310837, 971712059, 291328757, 498988370, 944595442, 210158741, 474588291, 728452333, 327892670, 633123722, 280937805, 961564731, 896302261, 364818399, 791196212, 678626404, 702912193, 966940719, 697837937, 229233322, 615904816, 142873499, 239716403, 88386028, 814798561, 518353881, 498482718, 458907246, 296617630, 685054486, 159771808, 423294860, 494014169, 150924742, 12436220, 755400713, 258190124, 65531288, 454041355, 221518994, 860222475, 932970280, 531681169, 602109256, 585029274, 24112250, 832975854, 702277613, 886158293, 993671856, 745950250, 9815904, 428057692, 951726244, 182913765, 886722589, 752178138, 941397089, 754737490, 328291852, 179288814, 959223573, 523585699, 542035645, 184733133, 198371804, 304883176, 998452141, 124524129, 885584699, 481174985, 616696757, 593324918, 454968615, 52844661, 970336457, 59652415, 503863689, 763412487, 318086037, 431678900, 772961494, 379979411, 748770602, 564912364, 176131533, 33162653, 811147845, 911170860, 147574219, 147811026, 152613327, 313470576, 67773459, 635593023, 923663369, 940797858, 353228924, 894589838, 113893957, 270912429, 810499926, 343383832, 999461432, 428879623, 882203250, 137842711, 963733831, 228328390, 388609130, 444731715, 876905523, 820643216, 292901933, 300114876, 646370184, 139589078, 173813411, 641490002, 511780675, 138009273, 168326041, 455523429, 577968590, 822486887, 206628466, 406962072, 776818543, 243949136, 773326982, 943666446, 751147131, 535649421, 445290504, 493015215, 441504843, 460178556, 176659001, 966315793, 622966118, 99102348, 959671731, 489578182, 700131590, 692678432, 843997706, 84316992, 295052242, 553321387, 675541223, 343432650, 389473733, 370807758, 385237489, 945158723, 227527971, 875594740, 125454021, 423896252, 15560748, 6210546, 794287516, 458892965, 645223642, 996372617, 537229661, 954211580, 293738043, 696027865, 46737506, 80039731, 692608133, 145885645, 560041641, 318623001, 562827220, 742688194, 100673661, 178786795, 289815352, 652188537, 735242308, 734937272, 891739424, 664946181, 987635466, 788629312, 402822043, 955411387, 929766648, 410007672, 377269822, 561962151, 937239079, 13238555, 966880602, 905525735, 233868138, 123894478, 827850053, 613602240, 649224028, 208377928, 317404952, 872164249, 238027473, 603347539, 15913528, 511476986, 60472308, 825530316, 575387964, 10613894, 817509174, 745601985, 316498340, 393598793, 909624006, 14905850, 215533967, 411912051, 984884312, 749494941, 678806049, 509115086, 312513897, 436730186, 622622583, 410981845, 6187747, 240335095, 871466569, 298738342, 753964255, 842764464, 763669249, 726831257, 262805735, 456928993, 921464338, 398268879, 902183475, 491502741, 872348170, 244442294, 715060792, 925352396, 588960406, 463602725, 881739070, 317752390, 709787883, 704456597, 239353639, 42648361, 330506671, 881390592, 270400733, 431217820, 923604163, 199350714, 730784157, 618816379, 390154481, 510752733, 419362979, 7864821, 670638993, 931944085, 877025976, 356710805, 580480749, 523376265, 32536697, 534640272, 658422828, 602869101, 257627936, 19353320, 307231189, 767777638, 116075954, 910132199, 890785831, 112656238, 535125877, 899585967, 212528780, 52594748, 476910963, 702000280, 914379828, 232401095, 815622453, 170806089, 142026010, 974803062, 446266689, 647729617, 141540830, 209984756, 917469850, 366614793, 505088170, 336199776, 458282243, 776726118, 65898399, 588747470, 336803515, 227473240, 807022596, 76282996, 556822238, 890598517, 320719589, 833641979, 274922280, 850612850, 805689839, 350345518, 268524345, 537854273, 133048817, 941825930, 531193388, 234420006, 652476571, 376886332, 471886483, 966682042, 169210281, 794515277, 84541212, 702197814, 294385154, 932048350, 357165852, 106845267, 838294046, 268767026, 768928242, 317757906, 642134607, 866468112, 408162350, 316778091, 315071199, 946231322, 462597803, 803470909, 113477738, 981387113, 350882681, 622688065, 877058174, 707677845, 678125185, 987244185, 416176335, 435153468, 898770636, 739742120, 368770071, 718975205, 132449699, 112157585, 614954407, 277410771, 845349804, 41620036, 459533573, 440667505, 351711058, 51265070, 692281115, 414086736, 582255027, 278173598, 837369224, 134070537, 411382375, 783386478, 59113229, 20075845, 11128092, 578770990, 239563044, 539793169, 405961871, 465019583, 881445046, 379539062, 604898363, 846257377, 120473440, 286543229, 554792750, 360420609, 994274929, 647518644, 639628224, 958244598, 134806133, 982204738, 969696721, 438608528, 684891723, 401247476, 263136938, 690073753, 429568456, 758466696, 834591579, 765511214, 245834044, 5432691, 949868089, 189205914, 182922234, 267536500, 556288860, 275325798, 228763038, 43198009, 626958467, 589408140, 157891879, 191866252, 566237343, 489338090, 316442951, 378261638, 250879999, 678793094, 863771713, 91704092, 254836077, 169623528, 3163204, 173845140, 346893958, 776113836, 973508092, 645340992, 590430401, 951563534, 473705954, 729796359, 97394867, 103018547, 254535655, 60538203, 584520812, 986220593, 444323091, 965536113, 869419091, 5081692, 327462154, 643651844, 579512728, 908311364, 223782800, 784660433, 354251199, 223432445, 557927372, 132706843, 207201606, 244254156, 597845799, 764449087, 586516681, 815675472, 517278658, 500556000, 970376215, 989955500, 72034657, 206722688] 59772293)," 10633276482 (minCost [195199014, 984800196, 607924423, 36348739, 813130315, 153065099, 588296506, 617132062, 781027683, 116629882, 581208811, 569440617, 870838107, 939227748, 574241627, 488909059, 479214749, 920077184, 809104907, 97812621, 739489242, 733086437, 654080955, 987436545, 140526391, 372643245, 149983222, 229866605, 912832555, 986734995, 161610887, 660721797, 431179104, 37923818, 337467714, 344568419, 408880028, 298866142, 586368843, 655456322, 182642371, 81945619, 607613577, 887811013, 626376923, 715066277, 27312739, 242413291, 491056317, 626066721, 329827884, 51373087, 377603455, 285888257, 289189990, 437036712, 51492615, 773483380, 273050223, 239823783, 178687773, 86195843, 311103091, 513170145, 818474194, 861218557, 673632638, 973212016, 990596428, 584797315, 390187131, 16063215, 671830121, 403723544, 368926620, 291577238, 836588088, 603827758, 2606594, 259323471, 249091497, 372920588, 781724843, 390173853, 817933194, 302969239, 164540460, 652257475, 452847149, 751974372, 417340325, 609385790, 325428582, 5518899, 689255278, 306884488, 240441423, 990221737, 127779717, 469798221, 809710543, 76651043, 114721605, 811337085, 838269422, 210573940, 550804251, 151059732, 963856152, 454169768, 649700828, 863499421, 666400114, 739255458, 148479307, 810214197, 701169766, 224247585, 528904494, 677094434, 656368211, 964745763, 285343955, 354199258, 604592293, 84075276, 171162476, 198006259, 792771994, 921766273, 513057436, 442342857, 393647274, 928913521, 129759381, 926801252, 382921119, 590703484, 947689972, 645597832, 80489849, 402504867, 793560817, 304668159, 752099804, 272063343, 237287828, 311417665, 110016486, 391816426, 573541853, 412955906, 774375508, 988828191, 529616010, 365784851, 130714687, 625023361, 51870264, 3921080, 970552943, 831690784, 304632280, 163415864, 945698689, 992319209, 607764312, 916603382, 69904958, 529364651, 877540295, 742675142, 217211577, 929501124, 359606819, 792089571, 628840547, 470317204, 245666470, 538467321, 542525942, 301217535, 254924657, 494655010, 462250827, 480408495, 21908896, 994013811, 32823489, 900377181, 767397312, 536885644, 109915622, 739194012, 394242870, 281165002, 684530302, 642378737, 252917803, 289701811, 920316781, 561202250, 485794592, 985927864, 452933034, 396341427, 464970466, 650547832, 435718719, 407937592, 825524338, 342161946, 794783327, 78363130, 758859001, 339179672, 276222116, 331080978, 355655498, 529702137, 246833303, 444240535, 390433754, 383207254, 685984136, 776310837, 971712059, 291328757, 498988370, 944595442, 210158741, 474588291, 728452333, 327892670, 633123722, 280937805, 961564731, 896302261, 364818399, 791196212, 678626404, 702912193, 966940719, 697837937, 229233322, 615904816, 142873499, 239716403, 88386028, 814798561, 518353881, 498482718, 458907246, 296617630, 685054486, 159771808, 423294860, 494014169, 150924742, 12436220, 755400713, 258190124, 65531288, 454041355, 221518994, 860222475, 932970280, 531681169, 602109256, 585029274, 24112250, 832975854, 702277613, 886158293, 993671856, 745950250, 9815904, 428057692, 951726244, 182913765, 886722589, 752178138, 941397089, 754737490, 328291852, 179288814, 959223573, 523585699, 542035645, 184733133, 198371804, 304883176, 998452141, 124524129, 885584699, 481174985, 616696757, 593324918, 454968615, 52844661, 970336457, 59652415, 503863689, 763412487, 318086037, 431678900, 772961494, 379979411, 748770602, 564912364, 176131533, 33162653, 811147845, 911170860, 147574219, 147811026, 152613327, 313470576, 67773459, 635593023, 923663369, 940797858, 353228924, 894589838, 113893957, 270912429, 810499926, 343383832, 999461432, 428879623, 882203250, 137842711, 963733831, 228328390, 388609130, 444731715, 876905523, 820643216, 292901933, 300114876, 646370184, 139589078, 173813411, 641490002, 511780675, 138009273, 168326041, 455523429, 577968590, 822486887, 206628466, 406962072, 776818543, 243949136, 773326982, 943666446, 751147131, 535649421, 445290504, 493015215, 441504843, 460178556, 176659001, 966315793, 622966118, 99102348, 959671731, 489578182, 700131590, 692678432, 843997706, 84316992, 295052242, 553321387, 675541223, 343432650, 389473733, 370807758, 385237489, 945158723, 227527971, 875594740, 125454021, 423896252, 15560748, 6210546, 794287516, 458892965, 645223642, 996372617, 537229661, 954211580, 293738043, 696027865, 46737506, 80039731, 692608133, 145885645, 560041641, 318623001, 562827220, 742688194, 100673661, 178786795, 289815352, 652188537, 735242308, 734937272, 891739424, 664946181, 987635466, 788629312, 402822043, 955411387, 929766648, 410007672, 377269822, 561962151, 937239079, 13238555, 966880602, 905525735, 233868138, 123894478, 827850053, 613602240, 649224028, 208377928, 317404952, 872164249, 238027473, 603347539, 15913528, 511476986, 60472308, 825530316, 575387964, 10613894, 817509174, 745601985, 316498340, 393598793, 909624006, 14905850, 215533967, 411912051, 984884312, 749494941, 678806049, 509115086, 312513897, 436730186, 622622583, 410981845, 6187747, 240335095, 871466569, 298738342, 753964255, 842764464, 763669249, 726831257, 262805735, 456928993, 921464338, 398268879, 902183475, 491502741, 872348170, 244442294, 715060792, 925352396, 588960406, 463602725, 881739070, 317752390, 709787883, 704456597, 239353639, 42648361, 330506671, 881390592, 270400733, 431217820, 923604163, 199350714, 730784157, 618816379, 390154481, 510752733, 419362979, 7864821, 670638993, 931944085, 877025976, 356710805, 580480749, 523376265, 32536697, 534640272, 658422828, 602869101, 257627936, 19353320, 307231189, 767777638, 116075954, 910132199, 890785831, 112656238, 535125877, 899585967, 212528780, 52594748, 476910963, 702000280, 914379828, 232401095, 815622453, 170806089, 142026010, 974803062, 446266689, 647729617, 141540830, 209984756, 917469850, 366614793, 505088170, 336199776, 458282243, 776726118, 65898399, 588747470, 336803515, 227473240, 807022596, 76282996, 556822238, 890598517, 320719589, 833641979, 274922280, 850612850, 805689839, 350345518, 268524345, 537854273, 133048817, 941825930, 531193388, 234420006, 652476571, 376886332, 471886483, 966682042, 169210281, 794515277, 84541212, 702197814, 294385154, 932048350, 357165852, 106845267, 838294046, 268767026, 768928242, 317757906, 642134607, 866468112, 408162350, 316778091, 315071199, 946231322, 462597803, 803470909, 113477738, 981387113, 350882681, 622688065, 877058174, 707677845, 678125185, 987244185, 416176335, 435153468, 898770636, 739742120, 368770071, 718975205, 132449699, 112157585, 614954407, 277410771, 845349804, 41620036, 459533573, 440667505, 351711058, 51265070, 692281115, 414086736, 582255027, 278173598, 837369224, 134070537, 411382375, 783386478, 59113229, 20075845, 11128092, 578770990, 239563044, 539793169, 405961871, 465019583, 881445046, 379539062, 604898363, 846257377, 120473440, 286543229, 554792750, 360420609, 994274929, 647518644, 639628224, 958244598, 134806133, 982204738, 969696721, 438608528, 684891723, 401247476, 263136938, 690073753, 429568456, 758466696, 834591579, 765511214, 245834044, 5432691, 949868089, 189205914, 182922234, 267536500, 556288860, 275325798, 228763038, 43198009, 626958467, 589408140, 157891879, 191866252, 566237343, 489338090, 316442951, 378261638, 250879999, 678793094, 863771713, 91704092, 254836077, 169623528, 3163204, 173845140, 346893958, 776113836, 973508092, 645340992, 590430401, 951563534, 473705954, 729796359, 97394867, 103018547, 254535655, 60538203, 584520812, 986220593, 444323091, 965536113, 869419091, 5081692, 327462154, 643651844, 579512728, 908311364, 223782800, 784660433, 354251199, 223432445, 557927372, 132706843, 207201606, 244254156, 597845799, 764449087, 586516681, 815675472, 517278658, 500556000, 970376215, 989955500, 72034657, 206722688] 59772293)) + +test4 :: Test +test4 = TestCase (assertEqual "for (minCost [563669213, 825855133, 170715616, 848248921, 900296610, 887903420, 675871814, 486596683, 235735391, 414856374, 822396398, 44266810, 771867053, 915395390, 407577458, 526132977, 435493588, 200118428, 522821959, 508699245, 209107510, 775835633, 848773024, 737330318, 49170263, 680427509, 573882300, 47975331, 107865654, 717536143, 530193469, 815833575, 172088373, 245232698, 13843861, 505703667, 920495124, 239600583, 738826172, 885854894, 287143084, 855637308, 143274687, 483262375, 405384251, 100977809, 953509786, 841235525, 575644136, 728039828, 448530985, 15997067, 72457869, 101030668, 373958835, 405681725, 405119064, 640524495, 878589097, 853263253, 326180319, 905875964, 224218040, 191497343, 54231792, 209037869, 375754140, 733021805, 872850958, 680061098, 909589897, 283417467, 992550860, 786664967, 204480733, 694702469, 695974678, 964700834, 592869236, 401811813, 56938882, 269231172, 766091455, 884761542, 38371452, 154205087, 416251331, 891071809, 869898081, 49865978, 975945402, 890700102, 988503568, 763930157, 815989390, 971377022, 282112026, 877551177, 580863559, 786925081, 447744173, 90081861, 22716552, 610375817, 696503886, 894129516, 643629922, 361399122, 212873496, 24950850, 272084837, 225407940, 69118584, 585427257, 93199531, 759303736, 892684401, 54387311, 219211102, 734932330, 253133867, 287296779, 356393711, 521830829, 942986574, 835526734, 775641657, 793444573, 234586574, 305990543, 589957492, 840715257, 18793840, 61463393, 771904419, 174384737, 449298523, 998770680, 385905690, 556897939, 257114939, 75136071, 458396933, 568211851, 482458998, 156091396, 439827914, 296595468, 806556096, 759274512, 359380225, 11956902, 840335491, 186135643, 512506043, 431375016, 209975739, 955020417, 3503802, 400814123, 234876476, 576947222, 266791712, 608870365, 766466346, 707602090, 428120087, 958082253, 184905080, 433493060, 602373693, 607604421, 812112090, 502237719, 952452187, 987786539, 64846139, 324252439, 59882599, 902241415, 371692197, 546742761, 659820907, 578700678, 551662153, 613246026, 639899097, 117406911, 301855994, 957388774, 897991451, 582703892, 88142700, 266915022, 151060378, 985016617, 149325809, 67085982, 417947811, 510895036, 18308997, 718674228, 332240402, 17036994, 482912726, 351285736, 931679892, 132057383, 15285131, 726581011, 856968187, 152149953, 848842139, 282301851, 885802920, 190876914, 136959644, 148312259, 519113422, 38376962, 356726594, 942808169, 238367302, 976641835, 560402238, 39078265, 846300705, 862455098, 392081438, 13303271, 407489581, 516158738, 426092730, 230270579, 566857210, 671558383, 501070302, 305494756, 149996375, 604973608, 475691854, 535650477, 68341824, 564713481, 675904594, 571734504, 481381942, 499047210, 960241932, 559188621, 339907471, 414845928, 381969569, 412056007, 222429126, 759873667, 95557112, 447973200, 562821228, 719714521, 711258907, 102339783, 482924658, 586039964, 28020821, 110040334, 311022027, 940526292, 648295974, 922554876, 660908464, 757134079, 846179529, 416721229, 980355072, 843258633, 773348852, 966317083, 903796445, 761515397, 962889142, 201745268, 873174137, 212674858, 910042856, 94088310, 168163893, 869159155, 233037439, 230987328, 589828823, 826806352, 664994060, 471688622, 745134907, 103187429, 603229400, 516560254, 955406852, 194155723, 683367090, 424942924, 106958578, 354855672, 35586725, 477587633, 906879483, 747824680, 815731568, 209223077, 478948459, 443136667, 720477753, 440977862, 389579185, 409137367, 666006140, 759594819, 381334522, 126128657, 456579003, 930758953, 190764978, 273220669, 613582969, 239713242, 538056745, 805006158, 752633857, 703024704, 467664263, 53684952, 390578805, 577204112, 323682769, 786364144, 893936510, 950948160, 261353949, 507236096, 366069533, 494139795, 971364473, 39447797, 365220426, 851906154, 317619002, 557803119, 716377485, 174428191, 383384919, 549160022, 571289329, 76711012, 890877483, 712773829, 167470644, 354483046, 477986720, 618472061, 405821922, 218831336, 116007746, 567271319, 477663635, 580816817, 559175243, 606926231, 890403431, 339487787, 248300406, 687048731, 511158806, 678359920, 696800477, 587350397, 179474495, 340894123, 700777902, 845853210, 921124908, 918785967, 587770467, 630217706, 717362563, 595981553, 340289370, 427610929, 714563512, 262433294, 441327464, 401582640, 691140041, 420004646, 656741070, 230421845, 278214583, 730761322, 964957276, 358896796, 557503666, 853464006, 284632286, 459150133, 603336734, 385689302, 356957264, 335776266, 745677663, 725855548, 484327271, 313178752, 850926700, 101190892, 381544552, 337926553, 144349570, 880307824, 281718892, 403045929, 193797651, 519465702, 615842736, 424666106, 214198330, 283598578, 143950066, 16833080, 12717220, 786413914, 249071653, 912424496, 830410107, 366021503, 22560213, 91875567, 567986445, 848426556, 605599362, 54189090, 616921622, 302844160, 477888837, 902147730, 618349759, 30587427, 389475281, 862036284, 248639560, 820585713, 635906374, 449218765, 693837644, 435514535, 995952207, 826467537, 144181767, 531526221, 340055046, 549225799, 387397015, 197758328, 568382231, 639706585, 48358540, 791921427, 185327646, 295792559, 443161478, 443872978, 424874990, 923516857, 98659777, 929205398, 669133063, 287396465, 849895730, 69046697, 474835650, 847853778, 140104095, 603196275, 523573889, 47107877, 895667802, 45583203, 903207368, 922597616, 386665134, 315102966, 16407145, 384915734, 921778962, 804382200, 423945781, 220550809, 880908973, 4152442, 728298706, 749757480, 562235361, 345139267, 77185567, 345823595, 983601915, 844182963, 904106483, 789976799, 394995796, 82586936, 121974183, 967632643, 429796764, 982269365, 799074126, 311149901, 437651442, 519844447, 954891471, 24148725, 538572729, 332529359, 907714845, 215990041, 560502859, 423822439, 484209522, 802193948, 585532543, 966855721, 200591667, 305209084, 400852719, 50671693, 404032320, 836515671, 312576225, 827106112, 285294081, 174463950, 679285468, 855122537, 717877225, 464754682, 345419570, 998396795, 251008696, 742790620, 459229454, 11261094, 483876617, 419697596, 148940629, 916650484, 33264727, 664756256, 81541957, 31814968, 347554098, 417890484, 48888814, 495002841, 990763108, 91580699, 944404984, 133622568, 529489280, 598349305, 841118162, 827171820, 256554468, 94338459, 399748009, 691901866, 296185971, 352638666, 594647125, 284659950, 246324504, 861359917, 821604100, 759018272, 51574016, 982530864, 772588041, 626960703, 131355704, 384815790, 45503822, 96419317, 636778033, 470926487, 456342901, 840785056, 660147669, 563952086, 45348807, 353249931, 926870983, 881556238, 901518240, 925996126, 55810296, 34775496, 472505851, 61286877, 412891222, 179747697, 593260017, 373768607, 130175796, 36417300, 527747064, 92429350, 179745521, 471709998, 912637451, 627440640, 17569947, 252263488, 399000684, 559218361, 383375566, 562068110, 269335761, 101801587, 377797666, 751335451, 958800405, 57913847, 157753477, 921672660, 109999537, 808578430, 903864677, 484110353, 394313430, 136556627, 288535485, 958769834, 300259254, 352195823, 950518461, 180748521, 798899893, 676189982, 606037456, 313955024, 75729256, 680539579, 2269609, 519317676, 875184572, 694575379, 878790683, 979567404, 944184077, 155049229, 436317053, 321749806, 489236705, 763323080, 282028232, 743281357, 498966870, 430221940, 681965311, 926694370, 632135135, 849107909, 230079556, 410061048, 707095537, 634290942, 600545868, 269760407, 452093469, 210219975, 375030799, 76429274, 611824173, 328943400, 105374470, 590497554, 38692832, 349252667, 212616107, 97050040, 404986286, 336667660, 17726065, 1811947, 672254249, 37398438, 691024006, 676578843, 294227226, 194888207, 29543539, 190425768, 322122266, 617590658, 644977987, 93719533, 224317322, 35597134, 101594741, 722223993, 841288301, 154003983, 290603441, 261695433, 343905287, 732488771, 771405000, 12824855, 397055298, 798549264, 375310777, 3160687, 860014925, 873755466, 687485790, 108741641, 591548296, 119514663, 93335768, 494385986, 212548822, 536529513, 101582885, 751996751, 216014136, 346551331, 466701529, 438133154, 467953069, 334942634, 243440098, 457302027, 674636140, 718529249, 921612110, 779217058, 713583046, 666824893, 530074627, 9576019, 634073373, 231163140, 678924307, 997121878, 775112239, 83159589, 589772529, 212385868, 829768562, 821963365, 976623024, 324977907, 280158329, 88452334, 779077084, 671705193, 842545869, 727153452, 617856355, 911851809, 288511425, 607060512, 328007906, 637897761, 242534940, 103623504, 246256, 690448636, 660405358, 549713658, 129667412, 790180837, 57599614] 531004303)," 37685090039 (minCost [563669213, 825855133, 170715616, 848248921, 900296610, 887903420, 675871814, 486596683, 235735391, 414856374, 822396398, 44266810, 771867053, 915395390, 407577458, 526132977, 435493588, 200118428, 522821959, 508699245, 209107510, 775835633, 848773024, 737330318, 49170263, 680427509, 573882300, 47975331, 107865654, 717536143, 530193469, 815833575, 172088373, 245232698, 13843861, 505703667, 920495124, 239600583, 738826172, 885854894, 287143084, 855637308, 143274687, 483262375, 405384251, 100977809, 953509786, 841235525, 575644136, 728039828, 448530985, 15997067, 72457869, 101030668, 373958835, 405681725, 405119064, 640524495, 878589097, 853263253, 326180319, 905875964, 224218040, 191497343, 54231792, 209037869, 375754140, 733021805, 872850958, 680061098, 909589897, 283417467, 992550860, 786664967, 204480733, 694702469, 695974678, 964700834, 592869236, 401811813, 56938882, 269231172, 766091455, 884761542, 38371452, 154205087, 416251331, 891071809, 869898081, 49865978, 975945402, 890700102, 988503568, 763930157, 815989390, 971377022, 282112026, 877551177, 580863559, 786925081, 447744173, 90081861, 22716552, 610375817, 696503886, 894129516, 643629922, 361399122, 212873496, 24950850, 272084837, 225407940, 69118584, 585427257, 93199531, 759303736, 892684401, 54387311, 219211102, 734932330, 253133867, 287296779, 356393711, 521830829, 942986574, 835526734, 775641657, 793444573, 234586574, 305990543, 589957492, 840715257, 18793840, 61463393, 771904419, 174384737, 449298523, 998770680, 385905690, 556897939, 257114939, 75136071, 458396933, 568211851, 482458998, 156091396, 439827914, 296595468, 806556096, 759274512, 359380225, 11956902, 840335491, 186135643, 512506043, 431375016, 209975739, 955020417, 3503802, 400814123, 234876476, 576947222, 266791712, 608870365, 766466346, 707602090, 428120087, 958082253, 184905080, 433493060, 602373693, 607604421, 812112090, 502237719, 952452187, 987786539, 64846139, 324252439, 59882599, 902241415, 371692197, 546742761, 659820907, 578700678, 551662153, 613246026, 639899097, 117406911, 301855994, 957388774, 897991451, 582703892, 88142700, 266915022, 151060378, 985016617, 149325809, 67085982, 417947811, 510895036, 18308997, 718674228, 332240402, 17036994, 482912726, 351285736, 931679892, 132057383, 15285131, 726581011, 856968187, 152149953, 848842139, 282301851, 885802920, 190876914, 136959644, 148312259, 519113422, 38376962, 356726594, 942808169, 238367302, 976641835, 560402238, 39078265, 846300705, 862455098, 392081438, 13303271, 407489581, 516158738, 426092730, 230270579, 566857210, 671558383, 501070302, 305494756, 149996375, 604973608, 475691854, 535650477, 68341824, 564713481, 675904594, 571734504, 481381942, 499047210, 960241932, 559188621, 339907471, 414845928, 381969569, 412056007, 222429126, 759873667, 95557112, 447973200, 562821228, 719714521, 711258907, 102339783, 482924658, 586039964, 28020821, 110040334, 311022027, 940526292, 648295974, 922554876, 660908464, 757134079, 846179529, 416721229, 980355072, 843258633, 773348852, 966317083, 903796445, 761515397, 962889142, 201745268, 873174137, 212674858, 910042856, 94088310, 168163893, 869159155, 233037439, 230987328, 589828823, 826806352, 664994060, 471688622, 745134907, 103187429, 603229400, 516560254, 955406852, 194155723, 683367090, 424942924, 106958578, 354855672, 35586725, 477587633, 906879483, 747824680, 815731568, 209223077, 478948459, 443136667, 720477753, 440977862, 389579185, 409137367, 666006140, 759594819, 381334522, 126128657, 456579003, 930758953, 190764978, 273220669, 613582969, 239713242, 538056745, 805006158, 752633857, 703024704, 467664263, 53684952, 390578805, 577204112, 323682769, 786364144, 893936510, 950948160, 261353949, 507236096, 366069533, 494139795, 971364473, 39447797, 365220426, 851906154, 317619002, 557803119, 716377485, 174428191, 383384919, 549160022, 571289329, 76711012, 890877483, 712773829, 167470644, 354483046, 477986720, 618472061, 405821922, 218831336, 116007746, 567271319, 477663635, 580816817, 559175243, 606926231, 890403431, 339487787, 248300406, 687048731, 511158806, 678359920, 696800477, 587350397, 179474495, 340894123, 700777902, 845853210, 921124908, 918785967, 587770467, 630217706, 717362563, 595981553, 340289370, 427610929, 714563512, 262433294, 441327464, 401582640, 691140041, 420004646, 656741070, 230421845, 278214583, 730761322, 964957276, 358896796, 557503666, 853464006, 284632286, 459150133, 603336734, 385689302, 356957264, 335776266, 745677663, 725855548, 484327271, 313178752, 850926700, 101190892, 381544552, 337926553, 144349570, 880307824, 281718892, 403045929, 193797651, 519465702, 615842736, 424666106, 214198330, 283598578, 143950066, 16833080, 12717220, 786413914, 249071653, 912424496, 830410107, 366021503, 22560213, 91875567, 567986445, 848426556, 605599362, 54189090, 616921622, 302844160, 477888837, 902147730, 618349759, 30587427, 389475281, 862036284, 248639560, 820585713, 635906374, 449218765, 693837644, 435514535, 995952207, 826467537, 144181767, 531526221, 340055046, 549225799, 387397015, 197758328, 568382231, 639706585, 48358540, 791921427, 185327646, 295792559, 443161478, 443872978, 424874990, 923516857, 98659777, 929205398, 669133063, 287396465, 849895730, 69046697, 474835650, 847853778, 140104095, 603196275, 523573889, 47107877, 895667802, 45583203, 903207368, 922597616, 386665134, 315102966, 16407145, 384915734, 921778962, 804382200, 423945781, 220550809, 880908973, 4152442, 728298706, 749757480, 562235361, 345139267, 77185567, 345823595, 983601915, 844182963, 904106483, 789976799, 394995796, 82586936, 121974183, 967632643, 429796764, 982269365, 799074126, 311149901, 437651442, 519844447, 954891471, 24148725, 538572729, 332529359, 907714845, 215990041, 560502859, 423822439, 484209522, 802193948, 585532543, 966855721, 200591667, 305209084, 400852719, 50671693, 404032320, 836515671, 312576225, 827106112, 285294081, 174463950, 679285468, 855122537, 717877225, 464754682, 345419570, 998396795, 251008696, 742790620, 459229454, 11261094, 483876617, 419697596, 148940629, 916650484, 33264727, 664756256, 81541957, 31814968, 347554098, 417890484, 48888814, 495002841, 990763108, 91580699, 944404984, 133622568, 529489280, 598349305, 841118162, 827171820, 256554468, 94338459, 399748009, 691901866, 296185971, 352638666, 594647125, 284659950, 246324504, 861359917, 821604100, 759018272, 51574016, 982530864, 772588041, 626960703, 131355704, 384815790, 45503822, 96419317, 636778033, 470926487, 456342901, 840785056, 660147669, 563952086, 45348807, 353249931, 926870983, 881556238, 901518240, 925996126, 55810296, 34775496, 472505851, 61286877, 412891222, 179747697, 593260017, 373768607, 130175796, 36417300, 527747064, 92429350, 179745521, 471709998, 912637451, 627440640, 17569947, 252263488, 399000684, 559218361, 383375566, 562068110, 269335761, 101801587, 377797666, 751335451, 958800405, 57913847, 157753477, 921672660, 109999537, 808578430, 903864677, 484110353, 394313430, 136556627, 288535485, 958769834, 300259254, 352195823, 950518461, 180748521, 798899893, 676189982, 606037456, 313955024, 75729256, 680539579, 2269609, 519317676, 875184572, 694575379, 878790683, 979567404, 944184077, 155049229, 436317053, 321749806, 489236705, 763323080, 282028232, 743281357, 498966870, 430221940, 681965311, 926694370, 632135135, 849107909, 230079556, 410061048, 707095537, 634290942, 600545868, 269760407, 452093469, 210219975, 375030799, 76429274, 611824173, 328943400, 105374470, 590497554, 38692832, 349252667, 212616107, 97050040, 404986286, 336667660, 17726065, 1811947, 672254249, 37398438, 691024006, 676578843, 294227226, 194888207, 29543539, 190425768, 322122266, 617590658, 644977987, 93719533, 224317322, 35597134, 101594741, 722223993, 841288301, 154003983, 290603441, 261695433, 343905287, 732488771, 771405000, 12824855, 397055298, 798549264, 375310777, 3160687, 860014925, 873755466, 687485790, 108741641, 591548296, 119514663, 93335768, 494385986, 212548822, 536529513, 101582885, 751996751, 216014136, 346551331, 466701529, 438133154, 467953069, 334942634, 243440098, 457302027, 674636140, 718529249, 921612110, 779217058, 713583046, 666824893, 530074627, 9576019, 634073373, 231163140, 678924307, 997121878, 775112239, 83159589, 589772529, 212385868, 829768562, 821963365, 976623024, 324977907, 280158329, 88452334, 779077084, 671705193, 842545869, 727153452, 617856355, 911851809, 288511425, 607060512, 328007906, 637897761, 242534940, 103623504, 246256, 690448636, 660405358, 549713658, 129667412, 790180837, 57599614] 531004303)) + +test5 :: Test +test5 = TestCase (assertEqual "for (minCost [945389577, 111116927, 908783196, 50140358, 959492443, 621625254, 255471618, 856293880, 431497048, 900080555, 48615242, 323695831, 793401948, 608032497, 260323249, 285572990, 862673209, 78379502, 715463944, 37841067, 420529343, 276556515, 156938055, 173291667, 926533023, 328825349, 264424263, 752255385, 748648849, 537908816, 312660609, 359083047, 552517006, 785901828, 196167296, 638340718, 38593887, 35570012, 889452149, 16700288, 309876496, 710489470, 604364097, 492912622, 578030825, 150666894, 226441865, 90711201, 185333530, 810486129, 182405455, 977957785, 733122422, 731408912, 139960041, 682401220, 681191578, 288147530, 359241124, 460311391, 233998545, 297952008, 384311367, 675987422, 273406652, 75287910, 928290128, 911238607, 407990495, 442488131, 405884137, 947079047, 99554214, 172487863, 761521355, 102878896, 560390374, 692136718, 871641505, 88140349, 989265733, 784844735, 77851623, 532924433, 269564404, 239015610, 96460813, 833932146, 121652526, 447560438, 133295611, 743001807, 500374245, 588026399, 3819236, 625802651, 303736893, 459491326, 890973172, 174644956, 948494548, 521105607, 696773235, 620297778, 573600818, 448402914, 689951348, 884451527, 521556556, 425962194, 622297134, 69255638, 321694010, 631009365, 878790060, 280461764, 594134385, 827229758, 12614167, 210065853, 169933731, 417683964, 296424875, 442481395, 718309338, 40996448, 859871255, 956044770, 231098868, 227130473, 297031090, 165391123, 873882665, 320097267, 96680241, 603126670, 267280993, 717061802, 583684867, 770546931, 638458902, 521598847, 590697046, 156440944] 711762576)," 16912494358 (minCost [945389577, 111116927, 908783196, 50140358, 959492443, 621625254, 255471618, 856293880, 431497048, 900080555, 48615242, 323695831, 793401948, 608032497, 260323249, 285572990, 862673209, 78379502, 715463944, 37841067, 420529343, 276556515, 156938055, 173291667, 926533023, 328825349, 264424263, 752255385, 748648849, 537908816, 312660609, 359083047, 552517006, 785901828, 196167296, 638340718, 38593887, 35570012, 889452149, 16700288, 309876496, 710489470, 604364097, 492912622, 578030825, 150666894, 226441865, 90711201, 185333530, 810486129, 182405455, 977957785, 733122422, 731408912, 139960041, 682401220, 681191578, 288147530, 359241124, 460311391, 233998545, 297952008, 384311367, 675987422, 273406652, 75287910, 928290128, 911238607, 407990495, 442488131, 405884137, 947079047, 99554214, 172487863, 761521355, 102878896, 560390374, 692136718, 871641505, 88140349, 989265733, 784844735, 77851623, 532924433, 269564404, 239015610, 96460813, 833932146, 121652526, 447560438, 133295611, 743001807, 500374245, 588026399, 3819236, 625802651, 303736893, 459491326, 890973172, 174644956, 948494548, 521105607, 696773235, 620297778, 573600818, 448402914, 689951348, 884451527, 521556556, 425962194, 622297134, 69255638, 321694010, 631009365, 878790060, 280461764, 594134385, 827229758, 12614167, 210065853, 169933731, 417683964, 296424875, 442481395, 718309338, 40996448, 859871255, 956044770, 231098868, 227130473, 297031090, 165391123, 873882665, 320097267, 96680241, 603126670, 267280993, 717061802, 583684867, 770546931, 638458902, 521598847, 590697046, 156440944] 711762576)) + +test6 :: Test +test6 = TestCase (assertEqual "for (minCost [787044169, 658711407, 94074275, 518527340, 34958046, 505968638, 169866082, 558364066, 996780256, 807172519, 269776645, 99028021, 824248729, 776042943, 216887087, 637195070] 76134123)," 1582855757 (minCost [787044169, 658711407, 94074275, 518527340, 34958046, 505968638, 169866082, 558364066, 996780256, 807172519, 269776645, 99028021, 824248729, 776042943, 216887087, 637195070] 76134123)) + +test7 :: Test +test7 = TestCase (assertEqual "for (minCost [344462152, 518399184, 880998883, 58782508, 790383971, 864942378, 59627709, 567315136, 855963427, 547840897, 151786106, 589178272, 308159637, 581325866, 100244626, 283608608, 931355483, 328502929, 930244029, 511510575, 46817944, 5338318, 157404917, 815197944, 325433842, 84231679, 748075803, 828287903, 8387073, 251955639, 575094145, 607580139, 154192555, 980508200, 93058551, 290680967, 657705472, 779852865, 454998097, 123457301, 994226095, 83038978, 379519601, 34603979, 963477073, 951008106, 468889481, 735796466, 764612791, 469426754, 434955762, 908077968, 564363547, 961088234, 682873684, 8497475, 439654182, 650932583, 822607245, 432758275, 58649489, 227528566, 576808310, 504387581, 9141019, 328214886, 578952787, 395355360, 245225549, 447453961, 540696166, 698804759, 183421132, 444162781, 463583501, 215760045, 682405797, 464452971, 647603901, 729797926, 812157873, 602698965, 73213430, 241471084, 115633527, 517757700, 752877919, 21976531, 558811947, 243850752, 716695544, 873580098, 635786483, 210826307, 939935933, 598383482, 825557738, 774316246, 661754805, 227134150, 514056456, 257448674, 224162661, 21418403, 606040140, 973723153, 519156314, 231883583, 879163585, 930007110, 41100278, 883953923, 154520847, 597963810, 962106202, 700236450, 369521824, 226023028, 227323918, 826345463, 930965437, 793193291, 676334092, 618862703, 201686699, 164911651, 946358967, 260389388, 392618184, 819534507, 277812808, 786004237, 182528976, 553686390, 686545749, 676005740, 27831442, 63870888, 499080954, 754947669, 559054420, 393642239, 338923114, 314311653, 245166285, 822129996, 847529195, 508783637, 196238488, 363779432, 568657291, 520788279, 88677710, 850428026, 912347444, 45701807, 105229272, 725063713, 35840745, 724133111, 168414756, 905513219, 712188313, 173025450, 778275732, 382790428, 769256959, 593775855, 478944403, 965141935, 397605536, 40816612, 637701620, 549543044, 303433120, 215515311, 503344038, 960503392, 125927893, 769639350, 172198738, 409886942, 164086343, 113582093, 41507235, 545784551, 482214174, 467822998, 483866501, 896380206, 105958129, 706589928, 680575992, 634970221, 960229785, 620362142, 439456071, 599007767, 130298623, 832938662, 43415045, 722595762, 126902357, 90494682, 949523086, 82424995, 634896590, 726282247, 750641246, 388095389, 416810383, 994674254, 378352116, 873605161, 455838986, 860091491, 817685439, 568558790, 57511057, 161342889, 943932858, 65932576, 346817904, 235733593, 728594621, 30865080, 399700749, 453468943, 126122076, 948908980, 65180579, 604714248, 997164443, 236228594, 582895182, 45770372, 480498668, 621848783, 607314949, 10806189, 903237607, 863301456, 973198812, 245329831, 648047559, 714954589, 863828161, 979659644, 461579152, 369928711, 588770319, 843757700, 682203634, 900715296, 880849515, 545693107, 714620921, 40971249, 110073571, 770641488, 563878597, 346083622, 828750480, 856927768, 424639975, 408252541, 171924937, 802760742, 256395241, 643004100, 768390236, 991956218, 296222942, 143467579, 201999757, 896876919, 540599326, 480775018, 511058071, 937205711, 585056180, 883135618, 958680743, 281901385, 675368724, 372853006, 362078981, 528829438, 51328736, 163429997, 235123483, 190318944, 637447372, 747076884] 923775125)," 26998829529 (minCost [344462152, 518399184, 880998883, 58782508, 790383971, 864942378, 59627709, 567315136, 855963427, 547840897, 151786106, 589178272, 308159637, 581325866, 100244626, 283608608, 931355483, 328502929, 930244029, 511510575, 46817944, 5338318, 157404917, 815197944, 325433842, 84231679, 748075803, 828287903, 8387073, 251955639, 575094145, 607580139, 154192555, 980508200, 93058551, 290680967, 657705472, 779852865, 454998097, 123457301, 994226095, 83038978, 379519601, 34603979, 963477073, 951008106, 468889481, 735796466, 764612791, 469426754, 434955762, 908077968, 564363547, 961088234, 682873684, 8497475, 439654182, 650932583, 822607245, 432758275, 58649489, 227528566, 576808310, 504387581, 9141019, 328214886, 578952787, 395355360, 245225549, 447453961, 540696166, 698804759, 183421132, 444162781, 463583501, 215760045, 682405797, 464452971, 647603901, 729797926, 812157873, 602698965, 73213430, 241471084, 115633527, 517757700, 752877919, 21976531, 558811947, 243850752, 716695544, 873580098, 635786483, 210826307, 939935933, 598383482, 825557738, 774316246, 661754805, 227134150, 514056456, 257448674, 224162661, 21418403, 606040140, 973723153, 519156314, 231883583, 879163585, 930007110, 41100278, 883953923, 154520847, 597963810, 962106202, 700236450, 369521824, 226023028, 227323918, 826345463, 930965437, 793193291, 676334092, 618862703, 201686699, 164911651, 946358967, 260389388, 392618184, 819534507, 277812808, 786004237, 182528976, 553686390, 686545749, 676005740, 27831442, 63870888, 499080954, 754947669, 559054420, 393642239, 338923114, 314311653, 245166285, 822129996, 847529195, 508783637, 196238488, 363779432, 568657291, 520788279, 88677710, 850428026, 912347444, 45701807, 105229272, 725063713, 35840745, 724133111, 168414756, 905513219, 712188313, 173025450, 778275732, 382790428, 769256959, 593775855, 478944403, 965141935, 397605536, 40816612, 637701620, 549543044, 303433120, 215515311, 503344038, 960503392, 125927893, 769639350, 172198738, 409886942, 164086343, 113582093, 41507235, 545784551, 482214174, 467822998, 483866501, 896380206, 105958129, 706589928, 680575992, 634970221, 960229785, 620362142, 439456071, 599007767, 130298623, 832938662, 43415045, 722595762, 126902357, 90494682, 949523086, 82424995, 634896590, 726282247, 750641246, 388095389, 416810383, 994674254, 378352116, 873605161, 455838986, 860091491, 817685439, 568558790, 57511057, 161342889, 943932858, 65932576, 346817904, 235733593, 728594621, 30865080, 399700749, 453468943, 126122076, 948908980, 65180579, 604714248, 997164443, 236228594, 582895182, 45770372, 480498668, 621848783, 607314949, 10806189, 903237607, 863301456, 973198812, 245329831, 648047559, 714954589, 863828161, 979659644, 461579152, 369928711, 588770319, 843757700, 682203634, 900715296, 880849515, 545693107, 714620921, 40971249, 110073571, 770641488, 563878597, 346083622, 828750480, 856927768, 424639975, 408252541, 171924937, 802760742, 256395241, 643004100, 768390236, 991956218, 296222942, 143467579, 201999757, 896876919, 540599326, 480775018, 511058071, 937205711, 585056180, 883135618, 958680743, 281901385, 675368724, 372853006, 362078981, 528829438, 51328736, 163429997, 235123483, 190318944, 637447372, 747076884] 923775125)) + +test8 :: Test +test8 = TestCase (assertEqual "for (minCost [73349594, 18843730, 656162099, 684433155, 13226514, 423983113, 765687789, 430398257, 290509135, 322348965, 704207495, 34083908, 444200690, 638623723, 123907037, 382686429, 965558186, 342527130, 335924564, 65126042, 236371836, 222790206, 769928664, 119302029, 202127738, 435994086, 923453752, 528400152, 424391130, 235187596, 600339609, 753668297, 839119919, 751070429, 960075585, 7443942, 315154950, 621732343, 761189424, 184642820, 6940890, 911063475, 622641120, 85837377, 647396778, 141505681, 155372287, 730012489, 19728620, 531023860, 497632163, 894995511, 493986159, 481463655, 464892392, 239820032, 703563390, 722067825, 951236797, 336243873, 735655408, 465794264, 984129082, 625906202, 636956521, 914338016, 574701587, 671935566, 318342651, 94987502, 202931506, 516517643, 741936417, 57957476, 452167236, 578276004, 984604893, 16441776, 630976802, 51106781, 10550039, 669962123, 163713000, 773850469, 174025572, 19518653, 803145634, 456041045, 665634843, 522308886, 13632988, 154974854, 408444011, 911628704, 815814669, 77224893, 201349904, 880612586, 270004008, 106408714, 384828990, 507309355, 719140605, 821135403, 191687935, 701390846, 28685387, 630615649, 537644452, 751047535, 154938223, 331543854, 197067061, 940909520, 355795924, 14509145, 651762200, 587458258, 484319565, 917779060, 415827282, 513921628, 914906031, 166196268, 842168971, 998767397, 7573687, 610972943, 443117447, 722028433, 265517549, 573760125, 999309255, 255415904, 194384066, 893465569, 183403744, 696356290, 952114946, 608950454, 502596164, 397727286, 954670358, 625244598, 702843032, 314343541, 437085433, 386707815, 565335822, 710263874, 646685777, 872220555, 672937088, 707892514, 383335678, 236236390, 190265080, 70402226, 366573021, 562865179, 261285052, 3700697, 872631939, 198644504, 291792136, 538177704, 640419422, 707052052, 837799811, 815449212, 630614876, 887573826, 897050840, 362042929, 217897115, 394668900, 784700760, 643836345, 181168174, 804953487, 647075184, 165049474, 32815617, 543536977, 212929493, 50279732, 623608418, 239073892, 144937972, 563184730, 240238830, 775112043, 315162273, 117661248, 483406074, 703243135, 679067137, 387049486, 651492619, 354753372, 575529134, 90845560, 155269823, 22092039, 862123307, 839206152, 88616784, 167034756, 97526490, 849611811, 198993990, 251914398, 384588694, 905944714, 883034767, 784758384, 973611862, 624994894, 53369112, 853961830, 189454111, 271256998, 600621789, 531461318, 455681286, 520992070, 295625425, 384414422, 420115385, 296758306, 594698057, 138773267, 123286126, 854994720, 178519394, 640778402, 404595870, 614558314, 856935997, 960452945, 967627809, 388397496, 376852547, 493499683, 111783177, 672310267, 647841265, 150107407, 4495301, 705908698, 928143684, 32973296, 775142042, 408153744, 409554005, 243021330, 426843036, 482493139, 996562109, 42338808, 744645558, 673456108, 378467098, 70425411, 436583117, 933504242, 649105661, 46890228, 849154185, 211088391, 265724624, 924861275, 927416441, 320356788, 118361154, 221637134, 809648667, 168490818, 376611335, 258007826, 956777719, 494859764, 643298863, 809609644, 883143605, 296259859, 529825461, 132611244, 485211769, 72473640, 303172197, 454007012, 845518819, 104931448, 318878344, 383003839, 347917497, 932306982, 978390636, 592335878, 722712031, 526240979, 731352897, 980715070, 254951708, 829051841, 729086263, 450990429, 110465367, 501062798, 406925918, 534144256, 557255755, 96280574, 93145647, 657967282, 71730074, 333603029, 524777672, 636573501, 120897119, 605136947, 7377400, 985615489, 739243993, 26537612, 302341787, 908823001, 761317801, 451723953, 869586374, 226229063, 579168227, 269828521, 586368858, 496389431, 556338345, 14756943, 354283251, 637955569, 990906843, 836736825, 175354731, 503885388, 244336323, 672802997, 416820981, 936718213, 255797520, 133449123, 645010808, 49835670, 909164966, 422777047, 184975250, 312411268, 723050455, 546280479, 276902296, 161098314, 775967898, 24348724, 672173236, 614667415, 749864218, 291502550, 258298788, 17262379, 449988340, 927371862, 890798513, 607960434, 936461075, 799552118, 630600884, 200839570, 182107734, 604048147, 670931799, 480546175, 506087151, 139410620, 829107848, 532317558, 354990881, 76968365, 140452440, 182527920, 233832630, 343975090, 424646397, 646544034, 637284632, 570979591, 783688356, 661354722, 627948934, 267455362, 677248686, 86661979, 742295338, 861265849, 115214081, 188361835, 342823825, 616312559, 548653470, 324605972, 674829250, 440195763, 874502545, 570058500, 699449831, 28108906, 54977773, 853008032, 607484810, 3221800, 173352506, 410061895, 989622480, 369017478, 246336327, 773272471, 842869218, 949507509, 972025944, 71209074, 68314616, 338213857, 991161332, 948876355, 31966703, 428909990, 851756807, 774303958, 782080314, 333723847, 863069047, 605737832, 644392736, 779469280, 542434779, 440255903, 538968929, 795033940, 950816010, 661986297, 367698122, 459297080, 801275661, 281662342, 447720137, 776593612, 896748278, 358596579, 432030875, 679262946, 676719267, 48500356, 499805070, 908012839, 283255214, 234570167, 351017562, 615060968, 871533898, 815124175, 146977924, 629942640, 409316288, 569895198, 272313379, 624750713, 295888774, 380179233, 620145975, 342605675, 196803090, 902674568, 627986540, 784793585, 681393196, 423105551, 467646957, 905402213, 940533796, 421660018, 764459173, 113627796, 96605240, 370072833, 624831289, 936206722, 796985376, 903024204, 678640983, 375613088, 858967151, 77859555, 672848621, 169844863, 391182217, 835055732, 154983357, 145374404, 165291938, 991376810, 580313916, 54018078, 773609970, 181741592, 389040103, 846012116, 45604765, 537558344, 264122183, 38893507, 386085740, 223059408, 856985578, 516461823, 753092701, 735302582, 732634831, 422281959, 423584239, 219528395, 796163137, 800471322, 113305943, 603235381, 612651224, 637441236, 232603244, 123505898, 506656131, 395403933, 427109971, 784114229, 780405280, 173156464, 49085757, 415133643, 834774864, 493630071, 669480906, 249310740, 919428187, 941742614, 906521552, 698087954, 857308532, 313804315, 557037327, 775171539, 983462619, 940334019, 852591, 776107103, 517637924, 242339225, 467473999, 40899203, 648483641, 175149372, 390700334, 859635637, 822439571, 296097567, 914589363, 825216059, 951898853, 273631024] 242057952)," 20226095086 (minCost [73349594, 18843730, 656162099, 684433155, 13226514, 423983113, 765687789, 430398257, 290509135, 322348965, 704207495, 34083908, 444200690, 638623723, 123907037, 382686429, 965558186, 342527130, 335924564, 65126042, 236371836, 222790206, 769928664, 119302029, 202127738, 435994086, 923453752, 528400152, 424391130, 235187596, 600339609, 753668297, 839119919, 751070429, 960075585, 7443942, 315154950, 621732343, 761189424, 184642820, 6940890, 911063475, 622641120, 85837377, 647396778, 141505681, 155372287, 730012489, 19728620, 531023860, 497632163, 894995511, 493986159, 481463655, 464892392, 239820032, 703563390, 722067825, 951236797, 336243873, 735655408, 465794264, 984129082, 625906202, 636956521, 914338016, 574701587, 671935566, 318342651, 94987502, 202931506, 516517643, 741936417, 57957476, 452167236, 578276004, 984604893, 16441776, 630976802, 51106781, 10550039, 669962123, 163713000, 773850469, 174025572, 19518653, 803145634, 456041045, 665634843, 522308886, 13632988, 154974854, 408444011, 911628704, 815814669, 77224893, 201349904, 880612586, 270004008, 106408714, 384828990, 507309355, 719140605, 821135403, 191687935, 701390846, 28685387, 630615649, 537644452, 751047535, 154938223, 331543854, 197067061, 940909520, 355795924, 14509145, 651762200, 587458258, 484319565, 917779060, 415827282, 513921628, 914906031, 166196268, 842168971, 998767397, 7573687, 610972943, 443117447, 722028433, 265517549, 573760125, 999309255, 255415904, 194384066, 893465569, 183403744, 696356290, 952114946, 608950454, 502596164, 397727286, 954670358, 625244598, 702843032, 314343541, 437085433, 386707815, 565335822, 710263874, 646685777, 872220555, 672937088, 707892514, 383335678, 236236390, 190265080, 70402226, 366573021, 562865179, 261285052, 3700697, 872631939, 198644504, 291792136, 538177704, 640419422, 707052052, 837799811, 815449212, 630614876, 887573826, 897050840, 362042929, 217897115, 394668900, 784700760, 643836345, 181168174, 804953487, 647075184, 165049474, 32815617, 543536977, 212929493, 50279732, 623608418, 239073892, 144937972, 563184730, 240238830, 775112043, 315162273, 117661248, 483406074, 703243135, 679067137, 387049486, 651492619, 354753372, 575529134, 90845560, 155269823, 22092039, 862123307, 839206152, 88616784, 167034756, 97526490, 849611811, 198993990, 251914398, 384588694, 905944714, 883034767, 784758384, 973611862, 624994894, 53369112, 853961830, 189454111, 271256998, 600621789, 531461318, 455681286, 520992070, 295625425, 384414422, 420115385, 296758306, 594698057, 138773267, 123286126, 854994720, 178519394, 640778402, 404595870, 614558314, 856935997, 960452945, 967627809, 388397496, 376852547, 493499683, 111783177, 672310267, 647841265, 150107407, 4495301, 705908698, 928143684, 32973296, 775142042, 408153744, 409554005, 243021330, 426843036, 482493139, 996562109, 42338808, 744645558, 673456108, 378467098, 70425411, 436583117, 933504242, 649105661, 46890228, 849154185, 211088391, 265724624, 924861275, 927416441, 320356788, 118361154, 221637134, 809648667, 168490818, 376611335, 258007826, 956777719, 494859764, 643298863, 809609644, 883143605, 296259859, 529825461, 132611244, 485211769, 72473640, 303172197, 454007012, 845518819, 104931448, 318878344, 383003839, 347917497, 932306982, 978390636, 592335878, 722712031, 526240979, 731352897, 980715070, 254951708, 829051841, 729086263, 450990429, 110465367, 501062798, 406925918, 534144256, 557255755, 96280574, 93145647, 657967282, 71730074, 333603029, 524777672, 636573501, 120897119, 605136947, 7377400, 985615489, 739243993, 26537612, 302341787, 908823001, 761317801, 451723953, 869586374, 226229063, 579168227, 269828521, 586368858, 496389431, 556338345, 14756943, 354283251, 637955569, 990906843, 836736825, 175354731, 503885388, 244336323, 672802997, 416820981, 936718213, 255797520, 133449123, 645010808, 49835670, 909164966, 422777047, 184975250, 312411268, 723050455, 546280479, 276902296, 161098314, 775967898, 24348724, 672173236, 614667415, 749864218, 291502550, 258298788, 17262379, 449988340, 927371862, 890798513, 607960434, 936461075, 799552118, 630600884, 200839570, 182107734, 604048147, 670931799, 480546175, 506087151, 139410620, 829107848, 532317558, 354990881, 76968365, 140452440, 182527920, 233832630, 343975090, 424646397, 646544034, 637284632, 570979591, 783688356, 661354722, 627948934, 267455362, 677248686, 86661979, 742295338, 861265849, 115214081, 188361835, 342823825, 616312559, 548653470, 324605972, 674829250, 440195763, 874502545, 570058500, 699449831, 28108906, 54977773, 853008032, 607484810, 3221800, 173352506, 410061895, 989622480, 369017478, 246336327, 773272471, 842869218, 949507509, 972025944, 71209074, 68314616, 338213857, 991161332, 948876355, 31966703, 428909990, 851756807, 774303958, 782080314, 333723847, 863069047, 605737832, 644392736, 779469280, 542434779, 440255903, 538968929, 795033940, 950816010, 661986297, 367698122, 459297080, 801275661, 281662342, 447720137, 776593612, 896748278, 358596579, 432030875, 679262946, 676719267, 48500356, 499805070, 908012839, 283255214, 234570167, 351017562, 615060968, 871533898, 815124175, 146977924, 629942640, 409316288, 569895198, 272313379, 624750713, 295888774, 380179233, 620145975, 342605675, 196803090, 902674568, 627986540, 784793585, 681393196, 423105551, 467646957, 905402213, 940533796, 421660018, 764459173, 113627796, 96605240, 370072833, 624831289, 936206722, 796985376, 903024204, 678640983, 375613088, 858967151, 77859555, 672848621, 169844863, 391182217, 835055732, 154983357, 145374404, 165291938, 991376810, 580313916, 54018078, 773609970, 181741592, 389040103, 846012116, 45604765, 537558344, 264122183, 38893507, 386085740, 223059408, 856985578, 516461823, 753092701, 735302582, 732634831, 422281959, 423584239, 219528395, 796163137, 800471322, 113305943, 603235381, 612651224, 637441236, 232603244, 123505898, 506656131, 395403933, 427109971, 784114229, 780405280, 173156464, 49085757, 415133643, 834774864, 493630071, 669480906, 249310740, 919428187, 941742614, 906521552, 698087954, 857308532, 313804315, 557037327, 775171539, 983462619, 940334019, 852591, 776107103, 517637924, 242339225, 467473999, 40899203, 648483641, 175149372, 390700334, 859635637, 822439571, 296097567, 914589363, 825216059, 951898853, 273631024] 242057952)) + +test9 :: Test +test9 = TestCase (assertEqual "for (minCost [425254684, 789699586, 176719709, 591540453, 677519448, 616408960, 419232769, 23023996, 335980679, 344379396, 678299390, 263176889, 94432418, 240120911, 159472211, 938490883, 839999189, 4546566, 67516685, 511857371, 148666704, 655902630, 785808493, 859139571, 28047068, 797282432, 991186450, 695919791, 182168185, 527562205, 691850494, 384384258, 39169180, 813590919, 814732776, 759889358, 3035120, 102478272, 770187137, 140334385, 896055107, 707568156, 497675460, 357679116, 850690716, 573027688, 16533059, 351210689, 117787744, 182515717, 559001924, 554601274, 911889785, 70201541, 697573069, 135554601, 912690408, 128329873, 361174463, 230256453, 574178412, 467147258, 4856529, 135166876, 604677104, 511652464, 907273319, 297487312, 819200135, 281037328, 377127950, 63398184, 623461021, 106894227, 502861730, 226782101, 675316836, 453350447, 544994049, 773834624, 481798977, 300205006, 233766131, 912613057, 112644316, 164606959, 468495271, 566816331, 91982538, 715343397, 720522899, 471213495, 224887693, 404226009, 113178174, 203243240, 4269437, 630673049, 89426618, 565527200, 368913199, 267084861, 863912404, 462543786, 12372219, 5438409, 378502188, 660576138, 913732767, 85750613, 888265816, 559182003, 910568422, 28860277, 948653182, 822536317, 201946566, 652437976, 808952704, 494798358, 965001211, 322193897, 654657859, 958530365, 482857021, 646926613, 428943857, 663145331, 214875780, 320149268, 491565929, 223652882, 965967912, 797841028, 930365706, 557185354, 797477294, 67710036, 413032144, 264776605, 235407699, 434335266, 732994983, 96446728, 455721547, 514527609, 950127861, 724688686, 918652338, 307023695, 518990699, 773622737, 933704889, 996275150, 513288590, 727191531, 398789874, 710672536, 316433984, 202737333, 644849163, 676102643, 293708169, 655237012, 166865611, 820098044, 664066712, 789760179, 342957626, 514949020, 269455206, 211555235, 541913607, 110928789, 792085550, 734577571, 427436652, 753654844, 194452851, 505545602, 352202349, 327112155, 561250025, 768276031, 636342581, 758985283, 390985568, 263570962, 194375367, 395440200, 495840427, 58774402, 98218434, 426326706, 508172289, 153870038, 306105453, 847398190, 327447886, 78364594, 332997036, 883837624, 780351821, 798242039, 931220599, 251576138, 593257224, 838790815, 52902269, 503421841, 523967558, 813212807, 747409226, 574002128, 432487337, 235365263, 31103775, 895260314, 453465220, 180199053, 859932439, 364960946, 85070788, 617167468, 389486148, 445918510, 680415189, 818057981, 232439179, 474617272, 590255109, 142599749, 64118808, 501542620, 670494388, 716365631, 985540348, 719256170, 905126716, 711577324, 191090139, 741298133, 170161685, 176972818, 177189726, 932226259, 631528724, 52089355, 486017688, 740460553, 997735237, 760123498, 553932613, 117747134, 161938075, 74399538, 960947525, 59269061, 633412512, 972348172, 167509535, 312357740, 568480786, 209674666, 652764959, 479611869, 789666363, 221193008, 647337833, 175735089, 271748430, 955155222, 340369678, 561837903, 936456519, 69196640, 330737103, 765929344, 653780800, 268635731, 647452265, 862903616, 337490707, 682267666, 937869467, 193371976, 158297483, 512602206, 890702600, 501716782, 980795913, 235499200, 310692588, 854514569, 512199021, 876598929, 609346426, 795761691, 215361076, 867754311, 293637541, 101127129, 878403716, 932412582, 520160573, 896453637, 986067302, 890246247, 987127082, 891485096, 41910843, 841030374, 306347047, 731922429, 834480153, 388005387, 267583246, 446779090, 847363676, 197066135, 768542647, 304404255, 765609402, 604365586, 90280380, 33947293, 295572588, 927772712, 575031317, 841815358, 669801948, 895931334, 666251251, 447271358, 339150153, 439809087, 636966421, 95073189, 120094864, 724216358, 648466512, 986214841, 595756994, 764585991, 797784250, 474708845, 489984034, 950834912, 280187025, 334690121, 311728535, 898742882, 827078115, 243072688, 160602464, 89648214, 757439879, 100451964, 694253263, 632124432, 459858292, 788649791, 293541649, 563865342, 923252753, 634484805, 322121510, 93809928, 345839538, 662243652, 456525176, 623974163, 785269305, 883270483, 76633116, 722777797, 527318058, 861039004, 680285242, 788678069, 203894403, 396236442, 372152348, 298957776, 573257661, 781041646, 518381883, 579993382, 44808192, 45109649, 493383209, 495025827, 892958739, 740817392, 951458279, 815011652, 330123825, 179500137, 139072840, 562610724, 218756925, 35859717, 393250151, 400482915, 334959185, 258768509, 667717124, 951484453, 334834725, 741240644, 899249177, 327641080, 601496982, 388984457, 105618491, 340997278, 423756896, 267133162, 856431025, 907599362, 746571907, 481426513, 548514573, 173662619, 468385700, 19040270, 351548924, 994224480, 232805696, 727821318, 877223237, 792869903, 921258903, 706694601, 610447468, 224967562, 414877357, 747172222, 222822165, 661604802, 565788675, 204464935, 991018823, 663320318, 914249489, 274261090, 558532339, 988264704, 899150808, 273016201, 883776958, 929684339, 750331359, 387490482, 471376870, 4053263, 788329502, 944166978, 507839185, 82845531, 432931248, 930749176, 871084887, 317753262, 596219785, 252234046, 570869638, 477302307, 532492662, 300727276, 43884252, 42304032, 408076532, 273926677, 483758410, 20198442, 858005202, 880633274, 966933985, 586522266, 319203090, 221985826, 824306772, 974977024, 788528887, 472311030, 365740922, 383050445, 633346853, 861784603, 518183650, 817473830, 176401317, 366278232, 564913272, 686170203, 675190887, 337693240, 143185043, 778292312, 679519713, 921758497, 576385503, 580218368, 542333146, 329396899, 695513889, 909191076, 526984661, 976129039, 154175602, 905568777, 764017252, 510986855, 523706197, 700014178, 118039873, 795143461, 610107704, 721914976, 118570932, 117794381, 704610359, 889180603, 124792373, 359394026, 809447775, 785449026, 844132069, 339380796, 867992771, 411744195, 393904595, 194894207, 874153231, 185524799, 878957794, 913051145, 532607726, 379002718, 439219160, 931097818, 559998096, 136201558, 372537584, 138104349, 138964900, 563850467, 449537477, 796958697, 158059824, 407934489, 174240304, 933645503, 94807416, 618651469, 258850185, 756310129, 418751161, 551198232, 895387254, 665580405, 12182957, 764178494, 434565709, 550431683, 560104936, 304856602, 658879860, 754218462, 520641117, 839060875, 867092916, 448586770, 725567540, 457885159, 862153220, 320392649, 608161970, 717286295, 889436722, 707629508, 887288338, 640124949, 246461851, 447247431, 61944920, 458072743, 22059319, 760585101, 812992620, 94208476, 179234940, 154388424, 746816071, 868196869, 101689701, 104237654, 169539607, 449668579, 243755662, 1538021, 811676805, 453334006, 205183057, 274742668, 667838343, 111946884, 962125160, 169152381, 164757107, 820778605, 40608265, 833933113, 597760325, 733832682, 34725313, 750514380, 648265931, 39369503, 423306694, 716955111, 599282441, 843946040, 590277616, 978431349, 468703128, 319783020, 968032855, 121112679, 322647094, 532683175, 785682928, 563305425, 807831834, 993492168, 280461808, 110696119, 18897288, 439523902, 568699607, 133201213, 670941319, 84754153, 482824980, 595587070, 177164200, 296358001, 604354785, 82842106, 433923044, 915933477, 448880627, 60737025, 418176514, 362936073, 563805258, 68570912, 404353998, 186126991, 823995182, 172728738, 374855658, 774614148, 120429944, 126745046, 931336076, 820478542, 980493003, 113784768, 717055260, 72269742, 42644502, 361627105, 567929817, 703348957, 946532162, 730642775, 896565553, 245687784, 678886682, 796306620, 618830891, 70806116, 880226499, 743923745, 402031437, 585925331, 546959035, 694849664, 450106285, 498504148, 164995692, 97797831, 201780478, 101383412, 837310657, 452459656, 80216301, 958261341, 757410412, 388221532, 299764838, 191388302, 107825463, 933699557, 946349222, 189743058, 905413045, 618057814, 595168624, 523627016, 701547170, 742272892, 523647710, 893526925, 974602185, 597983769, 752832519, 199225694, 398649835, 390751544, 126116328, 133778449, 844667619, 483019918, 921255724, 963507932, 531012367, 107268093, 619054525, 669392857, 754911136, 749025261, 84945136, 581497114, 82766065, 207819127, 638553163, 92480875, 384365757, 323053687, 5335950, 908997439, 398885318, 542185510, 508718168, 73800825, 936205007, 413642617, 440819321, 216651241, 579426546, 168774394, 637442179, 952984013, 526897232, 719833277, 592277078, 919016023, 589278432, 48295221, 928897773, 117537829, 220773587, 761919328, 37246179, 481792597, 518672953, 560915046, 22325812, 496384293, 129782091, 333684424, 277361475, 413749111, 307133884, 17027839, 948783130, 90125010, 23914083, 686549723, 758164487, 904698606, 276543444, 507287692, 774063218, 523462132, 996476226, 727343657, 632688181, 982638228, 945078904, 694865378, 512178539, 65038175, 166185516, 973025316, 31273959, 719119487, 709316127, 988643972, 659087929, 442618137, 694169527, 144824914, 355679957, 954492231, 42099116, 664835628, 784690056, 824238517, 609449964, 282716011, 878462139, 751283952, 603802723, 984556230, 402594395, 767982778, 204132253, 817564239, 841983787, 708680912, 507695129, 193801617, 315453446, 27054988, 435496777, 288750174, 452232102, 262241270, 781900442, 701528289, 210605476, 809292716, 244573828, 143639996, 796164060, 268977976, 928924013, 143457554, 337780952, 697284710, 629748888, 488316226, 821506584, 972262198, 449040254, 555479004, 684372077, 370007796, 895106216, 576169014, 432416051, 693259707, 904504326, 373788784, 187447211, 576781174, 42031404, 212913198, 323940113, 545675325, 66740570, 768153458, 177686137, 76583477, 433055702, 306097592, 351369454, 26100261, 338661445, 552403268, 444444517, 361464398, 745902080, 368071382, 501669490, 881056461, 633986960, 92376521, 447312538, 322056866, 952126970, 132907180, 779437822, 82777802, 399448521, 884216749, 755285575, 294926371, 583851237, 576562945, 363823158, 450600075, 424313903, 786756845, 317550027, 247481030, 676669472, 739666372, 222690360, 374740931, 135111876, 831106891, 173398375, 577965686, 270699985, 58752635, 177661348, 285790708, 594167835, 460062379, 573540212, 749436637, 67410690, 317300888, 271813820, 576195472, 605875333, 712345746, 648327215, 43543676, 36471202, 521878399, 852729858, 17090846, 599089449, 442278455, 32560312, 613125160, 297078716, 860258691, 811901814, 360235499, 621345610, 432328080, 940026951, 730048267, 330424156, 17400432, 844934671, 14136916, 717972741, 55003792, 820767376, 221871409, 622212918, 528119283, 82241353, 61944471, 527338055, 463757456, 95879940, 952855769, 210255149, 443105133, 83188365, 785569758, 243451089, 99791535, 946058739, 28283302, 232002549, 484217223, 351357885, 399213220, 967524989, 671336735, 293833515, 344303480, 125877988, 538086241, 472786797, 821425810, 319486050, 263760956, 237070956, 981210255, 295774140, 34348328, 439119445, 334466056, 144458817, 954458062, 131551735, 564453968] 259451167)," 38202065813 (minCost [425254684, 789699586, 176719709, 591540453, 677519448, 616408960, 419232769, 23023996, 335980679, 344379396, 678299390, 263176889, 94432418, 240120911, 159472211, 938490883, 839999189, 4546566, 67516685, 511857371, 148666704, 655902630, 785808493, 859139571, 28047068, 797282432, 991186450, 695919791, 182168185, 527562205, 691850494, 384384258, 39169180, 813590919, 814732776, 759889358, 3035120, 102478272, 770187137, 140334385, 896055107, 707568156, 497675460, 357679116, 850690716, 573027688, 16533059, 351210689, 117787744, 182515717, 559001924, 554601274, 911889785, 70201541, 697573069, 135554601, 912690408, 128329873, 361174463, 230256453, 574178412, 467147258, 4856529, 135166876, 604677104, 511652464, 907273319, 297487312, 819200135, 281037328, 377127950, 63398184, 623461021, 106894227, 502861730, 226782101, 675316836, 453350447, 544994049, 773834624, 481798977, 300205006, 233766131, 912613057, 112644316, 164606959, 468495271, 566816331, 91982538, 715343397, 720522899, 471213495, 224887693, 404226009, 113178174, 203243240, 4269437, 630673049, 89426618, 565527200, 368913199, 267084861, 863912404, 462543786, 12372219, 5438409, 378502188, 660576138, 913732767, 85750613, 888265816, 559182003, 910568422, 28860277, 948653182, 822536317, 201946566, 652437976, 808952704, 494798358, 965001211, 322193897, 654657859, 958530365, 482857021, 646926613, 428943857, 663145331, 214875780, 320149268, 491565929, 223652882, 965967912, 797841028, 930365706, 557185354, 797477294, 67710036, 413032144, 264776605, 235407699, 434335266, 732994983, 96446728, 455721547, 514527609, 950127861, 724688686, 918652338, 307023695, 518990699, 773622737, 933704889, 996275150, 513288590, 727191531, 398789874, 710672536, 316433984, 202737333, 644849163, 676102643, 293708169, 655237012, 166865611, 820098044, 664066712, 789760179, 342957626, 514949020, 269455206, 211555235, 541913607, 110928789, 792085550, 734577571, 427436652, 753654844, 194452851, 505545602, 352202349, 327112155, 561250025, 768276031, 636342581, 758985283, 390985568, 263570962, 194375367, 395440200, 495840427, 58774402, 98218434, 426326706, 508172289, 153870038, 306105453, 847398190, 327447886, 78364594, 332997036, 883837624, 780351821, 798242039, 931220599, 251576138, 593257224, 838790815, 52902269, 503421841, 523967558, 813212807, 747409226, 574002128, 432487337, 235365263, 31103775, 895260314, 453465220, 180199053, 859932439, 364960946, 85070788, 617167468, 389486148, 445918510, 680415189, 818057981, 232439179, 474617272, 590255109, 142599749, 64118808, 501542620, 670494388, 716365631, 985540348, 719256170, 905126716, 711577324, 191090139, 741298133, 170161685, 176972818, 177189726, 932226259, 631528724, 52089355, 486017688, 740460553, 997735237, 760123498, 553932613, 117747134, 161938075, 74399538, 960947525, 59269061, 633412512, 972348172, 167509535, 312357740, 568480786, 209674666, 652764959, 479611869, 789666363, 221193008, 647337833, 175735089, 271748430, 955155222, 340369678, 561837903, 936456519, 69196640, 330737103, 765929344, 653780800, 268635731, 647452265, 862903616, 337490707, 682267666, 937869467, 193371976, 158297483, 512602206, 890702600, 501716782, 980795913, 235499200, 310692588, 854514569, 512199021, 876598929, 609346426, 795761691, 215361076, 867754311, 293637541, 101127129, 878403716, 932412582, 520160573, 896453637, 986067302, 890246247, 987127082, 891485096, 41910843, 841030374, 306347047, 731922429, 834480153, 388005387, 267583246, 446779090, 847363676, 197066135, 768542647, 304404255, 765609402, 604365586, 90280380, 33947293, 295572588, 927772712, 575031317, 841815358, 669801948, 895931334, 666251251, 447271358, 339150153, 439809087, 636966421, 95073189, 120094864, 724216358, 648466512, 986214841, 595756994, 764585991, 797784250, 474708845, 489984034, 950834912, 280187025, 334690121, 311728535, 898742882, 827078115, 243072688, 160602464, 89648214, 757439879, 100451964, 694253263, 632124432, 459858292, 788649791, 293541649, 563865342, 923252753, 634484805, 322121510, 93809928, 345839538, 662243652, 456525176, 623974163, 785269305, 883270483, 76633116, 722777797, 527318058, 861039004, 680285242, 788678069, 203894403, 396236442, 372152348, 298957776, 573257661, 781041646, 518381883, 579993382, 44808192, 45109649, 493383209, 495025827, 892958739, 740817392, 951458279, 815011652, 330123825, 179500137, 139072840, 562610724, 218756925, 35859717, 393250151, 400482915, 334959185, 258768509, 667717124, 951484453, 334834725, 741240644, 899249177, 327641080, 601496982, 388984457, 105618491, 340997278, 423756896, 267133162, 856431025, 907599362, 746571907, 481426513, 548514573, 173662619, 468385700, 19040270, 351548924, 994224480, 232805696, 727821318, 877223237, 792869903, 921258903, 706694601, 610447468, 224967562, 414877357, 747172222, 222822165, 661604802, 565788675, 204464935, 991018823, 663320318, 914249489, 274261090, 558532339, 988264704, 899150808, 273016201, 883776958, 929684339, 750331359, 387490482, 471376870, 4053263, 788329502, 944166978, 507839185, 82845531, 432931248, 930749176, 871084887, 317753262, 596219785, 252234046, 570869638, 477302307, 532492662, 300727276, 43884252, 42304032, 408076532, 273926677, 483758410, 20198442, 858005202, 880633274, 966933985, 586522266, 319203090, 221985826, 824306772, 974977024, 788528887, 472311030, 365740922, 383050445, 633346853, 861784603, 518183650, 817473830, 176401317, 366278232, 564913272, 686170203, 675190887, 337693240, 143185043, 778292312, 679519713, 921758497, 576385503, 580218368, 542333146, 329396899, 695513889, 909191076, 526984661, 976129039, 154175602, 905568777, 764017252, 510986855, 523706197, 700014178, 118039873, 795143461, 610107704, 721914976, 118570932, 117794381, 704610359, 889180603, 124792373, 359394026, 809447775, 785449026, 844132069, 339380796, 867992771, 411744195, 393904595, 194894207, 874153231, 185524799, 878957794, 913051145, 532607726, 379002718, 439219160, 931097818, 559998096, 136201558, 372537584, 138104349, 138964900, 563850467, 449537477, 796958697, 158059824, 407934489, 174240304, 933645503, 94807416, 618651469, 258850185, 756310129, 418751161, 551198232, 895387254, 665580405, 12182957, 764178494, 434565709, 550431683, 560104936, 304856602, 658879860, 754218462, 520641117, 839060875, 867092916, 448586770, 725567540, 457885159, 862153220, 320392649, 608161970, 717286295, 889436722, 707629508, 887288338, 640124949, 246461851, 447247431, 61944920, 458072743, 22059319, 760585101, 812992620, 94208476, 179234940, 154388424, 746816071, 868196869, 101689701, 104237654, 169539607, 449668579, 243755662, 1538021, 811676805, 453334006, 205183057, 274742668, 667838343, 111946884, 962125160, 169152381, 164757107, 820778605, 40608265, 833933113, 597760325, 733832682, 34725313, 750514380, 648265931, 39369503, 423306694, 716955111, 599282441, 843946040, 590277616, 978431349, 468703128, 319783020, 968032855, 121112679, 322647094, 532683175, 785682928, 563305425, 807831834, 993492168, 280461808, 110696119, 18897288, 439523902, 568699607, 133201213, 670941319, 84754153, 482824980, 595587070, 177164200, 296358001, 604354785, 82842106, 433923044, 915933477, 448880627, 60737025, 418176514, 362936073, 563805258, 68570912, 404353998, 186126991, 823995182, 172728738, 374855658, 774614148, 120429944, 126745046, 931336076, 820478542, 980493003, 113784768, 717055260, 72269742, 42644502, 361627105, 567929817, 703348957, 946532162, 730642775, 896565553, 245687784, 678886682, 796306620, 618830891, 70806116, 880226499, 743923745, 402031437, 585925331, 546959035, 694849664, 450106285, 498504148, 164995692, 97797831, 201780478, 101383412, 837310657, 452459656, 80216301, 958261341, 757410412, 388221532, 299764838, 191388302, 107825463, 933699557, 946349222, 189743058, 905413045, 618057814, 595168624, 523627016, 701547170, 742272892, 523647710, 893526925, 974602185, 597983769, 752832519, 199225694, 398649835, 390751544, 126116328, 133778449, 844667619, 483019918, 921255724, 963507932, 531012367, 107268093, 619054525, 669392857, 754911136, 749025261, 84945136, 581497114, 82766065, 207819127, 638553163, 92480875, 384365757, 323053687, 5335950, 908997439, 398885318, 542185510, 508718168, 73800825, 936205007, 413642617, 440819321, 216651241, 579426546, 168774394, 637442179, 952984013, 526897232, 719833277, 592277078, 919016023, 589278432, 48295221, 928897773, 117537829, 220773587, 761919328, 37246179, 481792597, 518672953, 560915046, 22325812, 496384293, 129782091, 333684424, 277361475, 413749111, 307133884, 17027839, 948783130, 90125010, 23914083, 686549723, 758164487, 904698606, 276543444, 507287692, 774063218, 523462132, 996476226, 727343657, 632688181, 982638228, 945078904, 694865378, 512178539, 65038175, 166185516, 973025316, 31273959, 719119487, 709316127, 988643972, 659087929, 442618137, 694169527, 144824914, 355679957, 954492231, 42099116, 664835628, 784690056, 824238517, 609449964, 282716011, 878462139, 751283952, 603802723, 984556230, 402594395, 767982778, 204132253, 817564239, 841983787, 708680912, 507695129, 193801617, 315453446, 27054988, 435496777, 288750174, 452232102, 262241270, 781900442, 701528289, 210605476, 809292716, 244573828, 143639996, 796164060, 268977976, 928924013, 143457554, 337780952, 697284710, 629748888, 488316226, 821506584, 972262198, 449040254, 555479004, 684372077, 370007796, 895106216, 576169014, 432416051, 693259707, 904504326, 373788784, 187447211, 576781174, 42031404, 212913198, 323940113, 545675325, 66740570, 768153458, 177686137, 76583477, 433055702, 306097592, 351369454, 26100261, 338661445, 552403268, 444444517, 361464398, 745902080, 368071382, 501669490, 881056461, 633986960, 92376521, 447312538, 322056866, 952126970, 132907180, 779437822, 82777802, 399448521, 884216749, 755285575, 294926371, 583851237, 576562945, 363823158, 450600075, 424313903, 786756845, 317550027, 247481030, 676669472, 739666372, 222690360, 374740931, 135111876, 831106891, 173398375, 577965686, 270699985, 58752635, 177661348, 285790708, 594167835, 460062379, 573540212, 749436637, 67410690, 317300888, 271813820, 576195472, 605875333, 712345746, 648327215, 43543676, 36471202, 521878399, 852729858, 17090846, 599089449, 442278455, 32560312, 613125160, 297078716, 860258691, 811901814, 360235499, 621345610, 432328080, 940026951, 730048267, 330424156, 17400432, 844934671, 14136916, 717972741, 55003792, 820767376, 221871409, 622212918, 528119283, 82241353, 61944471, 527338055, 463757456, 95879940, 952855769, 210255149, 443105133, 83188365, 785569758, 243451089, 99791535, 946058739, 28283302, 232002549, 484217223, 351357885, 399213220, 967524989, 671336735, 293833515, 344303480, 125877988, 538086241, 472786797, 821425810, 319486050, 263760956, 237070956, 981210255, 295774140, 34348328, 439119445, 334466056, 144458817, 954458062, 131551735, 564453968] 259451167)) + + +-- 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/collecting_chocolates/java_tests/Main.java b/collecting_chocolates/java_tests/Main.java new file mode 100644 index 0000000000000000000000000000000000000000..ae93f9063c0e3ed66ad8299efc68bf7fb1fc4968 --- /dev/null +++ b/collecting_chocolates/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(13, minCost(new ArrayList<>(Arrays.asList(20,1,15)), 5)); +} +@Test +public void test2() { + assertEquals(6, minCost(new ArrayList<>(Arrays.asList(1,2,3)), 4)); +} + +} diff --git a/collecting_chocolates/meta.json b/collecting_chocolates/meta.json new file mode 100644 index 0000000000000000000000000000000000000000..f131f25244e3c678c0cc5c9ac9fb55771ad018db --- /dev/null +++ b/collecting_chocolates/meta.json @@ -0,0 +1,4771 @@ +{ + "id": 2810, + "name": "collecting_chocolates", + "difficulty": "Medium", + "link": "https://leetcode.com/problems/collecting-chocolates/", + "date": "2023-06-04 00:00:00", + "task_description": "You are given a **0-indexed** integer array `nums` of size `n` representing the cost of collecting different chocolates. The cost of collecting the chocolate at the index `i` is `nums[i]`. Each chocolate is of a different type, and initially, the chocolate at the index `i` is of `ith` type. In one operation, you can do the following with an incurred **cost** of `x`: Simultaneously change the chocolate of `ith` type to `((i + 1) mod n)th` type for all chocolates. Return _the minimum cost to collect chocolates of all types, given that you can perform as many operations as you would like._ **Example 1:** ``` **Input:** nums = [20,1,15], x = 5 **Output:** 13 **Explanation:** Initially, the chocolate types are [0,1,2]. We will buy the 1st type of chocolate at a cost of 1. Now, we will perform the operation at a cost of 5, and the types of chocolates will become [1,2,0]. We will buy the 2nd type of chocolate at a cost of 1. Now, we will again perform the operation at a cost of 5, and the chocolate types will become [2,0,1]. We will buy the 0th type of chocolate at a cost of 1. Thus, the total cost will become (1 + 5 + 1 + 5 + 1) = 13. We can prove that this is optimal. ``` **Example 2:** ``` **Input:** nums = [1,2,3], x = 4 **Output:** 6 **Explanation:** We will collect all three types of chocolates at their own price without performing any operations. Therefore, the total cost is 1 + 2 + 3 = 6. ``` **Constraints:** `1 <= nums.length <= 1000` `1 <= nums[i] <= 109` `1 <= x <= 109`", + "public_test_cases": [ + { + "label": "Example 1", + "input": "nums = [20,1,15], x = 5", + "output": "13 " + }, + { + "label": "Example 2", + "input": "nums = [1,2,3], x = 4", + "output": "6 " + } + ], + "private_test_cases": [ + { + "input": [ + [ + 195199014, + 984800196, + 607924423, + 36348739, + 813130315, + 153065099, + 588296506, + 617132062, + 781027683, + 116629882, + 581208811, + 569440617, + 870838107, + 939227748, + 574241627, + 488909059, + 479214749, + 920077184, + 809104907, + 97812621, + 739489242, + 733086437, + 654080955, + 987436545, + 140526391, + 372643245, + 149983222, + 229866605, + 912832555, + 986734995, + 161610887, + 660721797, + 431179104, + 37923818, + 337467714, + 344568419, + 408880028, + 298866142, + 586368843, + 655456322, + 182642371, + 81945619, + 607613577, + 887811013, + 626376923, + 715066277, + 27312739, + 242413291, + 491056317, + 626066721, + 329827884, + 51373087, + 377603455, + 285888257, + 289189990, + 437036712, + 51492615, + 773483380, + 273050223, + 239823783, + 178687773, + 86195843, + 311103091, + 513170145, + 818474194, + 861218557, + 673632638, + 973212016, + 990596428, + 584797315, + 390187131, + 16063215, + 671830121, + 403723544, + 368926620, + 291577238, + 836588088, + 603827758, + 2606594, + 259323471, + 249091497, + 372920588, + 781724843, + 390173853, + 817933194, + 302969239, + 164540460, + 652257475, + 452847149, + 751974372, + 417340325, + 609385790, + 325428582, + 5518899, + 689255278, + 306884488, + 240441423, + 990221737, + 127779717, + 469798221, + 809710543, + 76651043, + 114721605, + 811337085, + 838269422, + 210573940, + 550804251, + 151059732, + 963856152, + 454169768, + 649700828, + 863499421, + 666400114, + 739255458, + 148479307, + 810214197, + 701169766, + 224247585, + 528904494, + 677094434, + 656368211, + 964745763, + 285343955, + 354199258, + 604592293, + 84075276, + 171162476, + 198006259, + 792771994, + 921766273, + 513057436, + 442342857, + 393647274, + 928913521, + 129759381, + 926801252, + 382921119, + 590703484, + 947689972, + 645597832, + 80489849, + 402504867, + 793560817, + 304668159, + 752099804, + 272063343, + 237287828, + 311417665, + 110016486, + 391816426, + 573541853, + 412955906, + 774375508, + 988828191, + 529616010, + 365784851, + 130714687, + 625023361, + 51870264, + 3921080, + 970552943, + 831690784, + 304632280, + 163415864, + 945698689, + 992319209, + 607764312, + 916603382, + 69904958, + 529364651, + 877540295, + 742675142, + 217211577, + 929501124, + 359606819, + 792089571, + 628840547, + 470317204, + 245666470, + 538467321, + 542525942, + 301217535, + 254924657, + 494655010, + 462250827, + 480408495, + 21908896, + 994013811, + 32823489, + 900377181, + 767397312, + 536885644, + 109915622, + 739194012, + 394242870, + 281165002, + 684530302, + 642378737, + 252917803, + 289701811, + 920316781, + 561202250, + 485794592, + 985927864, + 452933034, + 396341427, + 464970466, + 650547832, + 435718719, + 407937592, + 825524338, + 342161946, + 794783327, + 78363130, + 758859001, + 339179672, + 276222116, + 331080978, + 355655498, + 529702137, + 246833303, + 444240535, + 390433754, + 383207254, + 685984136, + 776310837, + 971712059, + 291328757, + 498988370, + 944595442, + 210158741, + 474588291, + 728452333, + 327892670, + 633123722, + 280937805, + 961564731, + 896302261, + 364818399, + 791196212, + 678626404, + 702912193, + 966940719, + 697837937, + 229233322, + 615904816, + 142873499, + 239716403, + 88386028, + 814798561, + 518353881, + 498482718, + 458907246, + 296617630, + 685054486, + 159771808, + 423294860, + 494014169, + 150924742, + 12436220, + 755400713, + 258190124, + 65531288, + 454041355, + 221518994, + 860222475, + 932970280, + 531681169, + 602109256, + 585029274, + 24112250, + 832975854, + 702277613, + 886158293, + 993671856, + 745950250, + 9815904, + 428057692, + 951726244, + 182913765, + 886722589, + 752178138, + 941397089, + 754737490, + 328291852, + 179288814, + 959223573, + 523585699, + 542035645, + 184733133, + 198371804, + 304883176, + 998452141, + 124524129, + 885584699, + 481174985, + 616696757, + 593324918, + 454968615, + 52844661, + 970336457, + 59652415, + 503863689, + 763412487, + 318086037, + 431678900, + 772961494, + 379979411, + 748770602, + 564912364, + 176131533, + 33162653, + 811147845, + 911170860, + 147574219, + 147811026, + 152613327, + 313470576, + 67773459, + 635593023, + 923663369, + 940797858, + 353228924, + 894589838, + 113893957, + 270912429, + 810499926, + 343383832, + 999461432, + 428879623, + 882203250, + 137842711, + 963733831, + 228328390, + 388609130, + 444731715, + 876905523, + 820643216, + 292901933, + 300114876, + 646370184, + 139589078, + 173813411, + 641490002, + 511780675, + 138009273, + 168326041, + 455523429, + 577968590, + 822486887, + 206628466, + 406962072, + 776818543, + 243949136, + 773326982, + 943666446, + 751147131, + 535649421, + 445290504, + 493015215, + 441504843, + 460178556, + 176659001, + 966315793, + 622966118, + 99102348, + 959671731, + 489578182, + 700131590, + 692678432, + 843997706, + 84316992, + 295052242, + 553321387, + 675541223, + 343432650, + 389473733, + 370807758, + 385237489, + 945158723, + 227527971, + 875594740, + 125454021, + 423896252, + 15560748, + 6210546, + 794287516, + 458892965, + 645223642, + 996372617, + 537229661, + 954211580, + 293738043, + 696027865, + 46737506, + 80039731, + 692608133, + 145885645, + 560041641, + 318623001, + 562827220, + 742688194, + 100673661, + 178786795, + 289815352, + 652188537, + 735242308, + 734937272, + 891739424, + 664946181, + 987635466, + 788629312, + 402822043, + 955411387, + 929766648, + 410007672, + 377269822, + 561962151, + 937239079, + 13238555, + 966880602, + 905525735, + 233868138, + 123894478, + 827850053, + 613602240, + 649224028, + 208377928, + 317404952, + 872164249, + 238027473, + 603347539, + 15913528, + 511476986, + 60472308, + 825530316, + 575387964, + 10613894, + 817509174, + 745601985, + 316498340, + 393598793, + 909624006, + 14905850, + 215533967, + 411912051, + 984884312, + 749494941, + 678806049, + 509115086, + 312513897, + 436730186, + 622622583, + 410981845, + 6187747, + 240335095, + 871466569, + 298738342, + 753964255, + 842764464, + 763669249, + 726831257, + 262805735, + 456928993, + 921464338, + 398268879, + 902183475, + 491502741, + 872348170, + 244442294, + 715060792, + 925352396, + 588960406, + 463602725, + 881739070, + 317752390, + 709787883, + 704456597, + 239353639, + 42648361, + 330506671, + 881390592, + 270400733, + 431217820, + 923604163, + 199350714, + 730784157, + 618816379, + 390154481, + 510752733, + 419362979, + 7864821, + 670638993, + 931944085, + 877025976, + 356710805, + 580480749, + 523376265, + 32536697, + 534640272, + 658422828, + 602869101, + 257627936, + 19353320, + 307231189, + 767777638, + 116075954, + 910132199, + 890785831, + 112656238, + 535125877, + 899585967, + 212528780, + 52594748, + 476910963, + 702000280, + 914379828, + 232401095, + 815622453, + 170806089, + 142026010, + 974803062, + 446266689, + 647729617, + 141540830, + 209984756, + 917469850, + 366614793, + 505088170, + 336199776, + 458282243, + 776726118, + 65898399, + 588747470, + 336803515, + 227473240, + 807022596, + 76282996, + 556822238, + 890598517, + 320719589, + 833641979, + 274922280, + 850612850, + 805689839, + 350345518, + 268524345, + 537854273, + 133048817, + 941825930, + 531193388, + 234420006, + 652476571, + 376886332, + 471886483, + 966682042, + 169210281, + 794515277, + 84541212, + 702197814, + 294385154, + 932048350, + 357165852, + 106845267, + 838294046, + 268767026, + 768928242, + 317757906, + 642134607, + 866468112, + 408162350, + 316778091, + 315071199, + 946231322, + 462597803, + 803470909, + 113477738, + 981387113, + 350882681, + 622688065, + 877058174, + 707677845, + 678125185, + 987244185, + 416176335, + 435153468, + 898770636, + 739742120, + 368770071, + 718975205, + 132449699, + 112157585, + 614954407, + 277410771, + 845349804, + 41620036, + 459533573, + 440667505, + 351711058, + 51265070, + 692281115, + 414086736, + 582255027, + 278173598, + 837369224, + 134070537, + 411382375, + 783386478, + 59113229, + 20075845, + 11128092, + 578770990, + 239563044, + 539793169, + 405961871, + 465019583, + 881445046, + 379539062, + 604898363, + 846257377, + 120473440, + 286543229, + 554792750, + 360420609, + 994274929, + 647518644, + 639628224, + 958244598, + 134806133, + 982204738, + 969696721, + 438608528, + 684891723, + 401247476, + 263136938, + 690073753, + 429568456, + 758466696, + 834591579, + 765511214, + 245834044, + 5432691, + 949868089, + 189205914, + 182922234, + 267536500, + 556288860, + 275325798, + 228763038, + 43198009, + 626958467, + 589408140, + 157891879, + 191866252, + 566237343, + 489338090, + 316442951, + 378261638, + 250879999, + 678793094, + 863771713, + 91704092, + 254836077, + 169623528, + 3163204, + 173845140, + 346893958, + 776113836, + 973508092, + 645340992, + 590430401, + 951563534, + 473705954, + 729796359, + 97394867, + 103018547, + 254535655, + 60538203, + 584520812, + 986220593, + 444323091, + 965536113, + 869419091, + 5081692, + 327462154, + 643651844, + 579512728, + 908311364, + 223782800, + 784660433, + 354251199, + 223432445, + 557927372, + 132706843, + 207201606, + 244254156, + 597845799, + 764449087, + 586516681, + 815675472, + 517278658, + 500556000, + 970376215, + 989955500, + 72034657, + 206722688 + ], + 59772293 + ], + "output": 10633276482 + }, + { + "input": [ + [ + 563669213, + 825855133, + 170715616, + 848248921, + 900296610, + 887903420, + 675871814, + 486596683, + 235735391, + 414856374, + 822396398, + 44266810, + 771867053, + 915395390, + 407577458, + 526132977, + 435493588, + 200118428, + 522821959, + 508699245, + 209107510, + 775835633, + 848773024, + 737330318, + 49170263, + 680427509, + 573882300, + 47975331, + 107865654, + 717536143, + 530193469, + 815833575, + 172088373, + 245232698, + 13843861, + 505703667, + 920495124, + 239600583, + 738826172, + 885854894, + 287143084, + 855637308, + 143274687, + 483262375, + 405384251, + 100977809, + 953509786, + 841235525, + 575644136, + 728039828, + 448530985, + 15997067, + 72457869, + 101030668, + 373958835, + 405681725, + 405119064, + 640524495, + 878589097, + 853263253, + 326180319, + 905875964, + 224218040, + 191497343, + 54231792, + 209037869, + 375754140, + 733021805, + 872850958, + 680061098, + 909589897, + 283417467, + 992550860, + 786664967, + 204480733, + 694702469, + 695974678, + 964700834, + 592869236, + 401811813, + 56938882, + 269231172, + 766091455, + 884761542, + 38371452, + 154205087, + 416251331, + 891071809, + 869898081, + 49865978, + 975945402, + 890700102, + 988503568, + 763930157, + 815989390, + 971377022, + 282112026, + 877551177, + 580863559, + 786925081, + 447744173, + 90081861, + 22716552, + 610375817, + 696503886, + 894129516, + 643629922, + 361399122, + 212873496, + 24950850, + 272084837, + 225407940, + 69118584, + 585427257, + 93199531, + 759303736, + 892684401, + 54387311, + 219211102, + 734932330, + 253133867, + 287296779, + 356393711, + 521830829, + 942986574, + 835526734, + 775641657, + 793444573, + 234586574, + 305990543, + 589957492, + 840715257, + 18793840, + 61463393, + 771904419, + 174384737, + 449298523, + 998770680, + 385905690, + 556897939, + 257114939, + 75136071, + 458396933, + 568211851, + 482458998, + 156091396, + 439827914, + 296595468, + 806556096, + 759274512, + 359380225, + 11956902, + 840335491, + 186135643, + 512506043, + 431375016, + 209975739, + 955020417, + 3503802, + 400814123, + 234876476, + 576947222, + 266791712, + 608870365, + 766466346, + 707602090, + 428120087, + 958082253, + 184905080, + 433493060, + 602373693, + 607604421, + 812112090, + 502237719, + 952452187, + 987786539, + 64846139, + 324252439, + 59882599, + 902241415, + 371692197, + 546742761, + 659820907, + 578700678, + 551662153, + 613246026, + 639899097, + 117406911, + 301855994, + 957388774, + 897991451, + 582703892, + 88142700, + 266915022, + 151060378, + 985016617, + 149325809, + 67085982, + 417947811, + 510895036, + 18308997, + 718674228, + 332240402, + 17036994, + 482912726, + 351285736, + 931679892, + 132057383, + 15285131, + 726581011, + 856968187, + 152149953, + 848842139, + 282301851, + 885802920, + 190876914, + 136959644, + 148312259, + 519113422, + 38376962, + 356726594, + 942808169, + 238367302, + 976641835, + 560402238, + 39078265, + 846300705, + 862455098, + 392081438, + 13303271, + 407489581, + 516158738, + 426092730, + 230270579, + 566857210, + 671558383, + 501070302, + 305494756, + 149996375, + 604973608, + 475691854, + 535650477, + 68341824, + 564713481, + 675904594, + 571734504, + 481381942, + 499047210, + 960241932, + 559188621, + 339907471, + 414845928, + 381969569, + 412056007, + 222429126, + 759873667, + 95557112, + 447973200, + 562821228, + 719714521, + 711258907, + 102339783, + 482924658, + 586039964, + 28020821, + 110040334, + 311022027, + 940526292, + 648295974, + 922554876, + 660908464, + 757134079, + 846179529, + 416721229, + 980355072, + 843258633, + 773348852, + 966317083, + 903796445, + 761515397, + 962889142, + 201745268, + 873174137, + 212674858, + 910042856, + 94088310, + 168163893, + 869159155, + 233037439, + 230987328, + 589828823, + 826806352, + 664994060, + 471688622, + 745134907, + 103187429, + 603229400, + 516560254, + 955406852, + 194155723, + 683367090, + 424942924, + 106958578, + 354855672, + 35586725, + 477587633, + 906879483, + 747824680, + 815731568, + 209223077, + 478948459, + 443136667, + 720477753, + 440977862, + 389579185, + 409137367, + 666006140, + 759594819, + 381334522, + 126128657, + 456579003, + 930758953, + 190764978, + 273220669, + 613582969, + 239713242, + 538056745, + 805006158, + 752633857, + 703024704, + 467664263, + 53684952, + 390578805, + 577204112, + 323682769, + 786364144, + 893936510, + 950948160, + 261353949, + 507236096, + 366069533, + 494139795, + 971364473, + 39447797, + 365220426, + 851906154, + 317619002, + 557803119, + 716377485, + 174428191, + 383384919, + 549160022, + 571289329, + 76711012, + 890877483, + 712773829, + 167470644, + 354483046, + 477986720, + 618472061, + 405821922, + 218831336, + 116007746, + 567271319, + 477663635, + 580816817, + 559175243, + 606926231, + 890403431, + 339487787, + 248300406, + 687048731, + 511158806, + 678359920, + 696800477, + 587350397, + 179474495, + 340894123, + 700777902, + 845853210, + 921124908, + 918785967, + 587770467, + 630217706, + 717362563, + 595981553, + 340289370, + 427610929, + 714563512, + 262433294, + 441327464, + 401582640, + 691140041, + 420004646, + 656741070, + 230421845, + 278214583, + 730761322, + 964957276, + 358896796, + 557503666, + 853464006, + 284632286, + 459150133, + 603336734, + 385689302, + 356957264, + 335776266, + 745677663, + 725855548, + 484327271, + 313178752, + 850926700, + 101190892, + 381544552, + 337926553, + 144349570, + 880307824, + 281718892, + 403045929, + 193797651, + 519465702, + 615842736, + 424666106, + 214198330, + 283598578, + 143950066, + 16833080, + 12717220, + 786413914, + 249071653, + 912424496, + 830410107, + 366021503, + 22560213, + 91875567, + 567986445, + 848426556, + 605599362, + 54189090, + 616921622, + 302844160, + 477888837, + 902147730, + 618349759, + 30587427, + 389475281, + 862036284, + 248639560, + 820585713, + 635906374, + 449218765, + 693837644, + 435514535, + 995952207, + 826467537, + 144181767, + 531526221, + 340055046, + 549225799, + 387397015, + 197758328, + 568382231, + 639706585, + 48358540, + 791921427, + 185327646, + 295792559, + 443161478, + 443872978, + 424874990, + 923516857, + 98659777, + 929205398, + 669133063, + 287396465, + 849895730, + 69046697, + 474835650, + 847853778, + 140104095, + 603196275, + 523573889, + 47107877, + 895667802, + 45583203, + 903207368, + 922597616, + 386665134, + 315102966, + 16407145, + 384915734, + 921778962, + 804382200, + 423945781, + 220550809, + 880908973, + 4152442, + 728298706, + 749757480, + 562235361, + 345139267, + 77185567, + 345823595, + 983601915, + 844182963, + 904106483, + 789976799, + 394995796, + 82586936, + 121974183, + 967632643, + 429796764, + 982269365, + 799074126, + 311149901, + 437651442, + 519844447, + 954891471, + 24148725, + 538572729, + 332529359, + 907714845, + 215990041, + 560502859, + 423822439, + 484209522, + 802193948, + 585532543, + 966855721, + 200591667, + 305209084, + 400852719, + 50671693, + 404032320, + 836515671, + 312576225, + 827106112, + 285294081, + 174463950, + 679285468, + 855122537, + 717877225, + 464754682, + 345419570, + 998396795, + 251008696, + 742790620, + 459229454, + 11261094, + 483876617, + 419697596, + 148940629, + 916650484, + 33264727, + 664756256, + 81541957, + 31814968, + 347554098, + 417890484, + 48888814, + 495002841, + 990763108, + 91580699, + 944404984, + 133622568, + 529489280, + 598349305, + 841118162, + 827171820, + 256554468, + 94338459, + 399748009, + 691901866, + 296185971, + 352638666, + 594647125, + 284659950, + 246324504, + 861359917, + 821604100, + 759018272, + 51574016, + 982530864, + 772588041, + 626960703, + 131355704, + 384815790, + 45503822, + 96419317, + 636778033, + 470926487, + 456342901, + 840785056, + 660147669, + 563952086, + 45348807, + 353249931, + 926870983, + 881556238, + 901518240, + 925996126, + 55810296, + 34775496, + 472505851, + 61286877, + 412891222, + 179747697, + 593260017, + 373768607, + 130175796, + 36417300, + 527747064, + 92429350, + 179745521, + 471709998, + 912637451, + 627440640, + 17569947, + 252263488, + 399000684, + 559218361, + 383375566, + 562068110, + 269335761, + 101801587, + 377797666, + 751335451, + 958800405, + 57913847, + 157753477, + 921672660, + 109999537, + 808578430, + 903864677, + 484110353, + 394313430, + 136556627, + 288535485, + 958769834, + 300259254, + 352195823, + 950518461, + 180748521, + 798899893, + 676189982, + 606037456, + 313955024, + 75729256, + 680539579, + 2269609, + 519317676, + 875184572, + 694575379, + 878790683, + 979567404, + 944184077, + 155049229, + 436317053, + 321749806, + 489236705, + 763323080, + 282028232, + 743281357, + 498966870, + 430221940, + 681965311, + 926694370, + 632135135, + 849107909, + 230079556, + 410061048, + 707095537, + 634290942, + 600545868, + 269760407, + 452093469, + 210219975, + 375030799, + 76429274, + 611824173, + 328943400, + 105374470, + 590497554, + 38692832, + 349252667, + 212616107, + 97050040, + 404986286, + 336667660, + 17726065, + 1811947, + 672254249, + 37398438, + 691024006, + 676578843, + 294227226, + 194888207, + 29543539, + 190425768, + 322122266, + 617590658, + 644977987, + 93719533, + 224317322, + 35597134, + 101594741, + 722223993, + 841288301, + 154003983, + 290603441, + 261695433, + 343905287, + 732488771, + 771405000, + 12824855, + 397055298, + 798549264, + 375310777, + 3160687, + 860014925, + 873755466, + 687485790, + 108741641, + 591548296, + 119514663, + 93335768, + 494385986, + 212548822, + 536529513, + 101582885, + 751996751, + 216014136, + 346551331, + 466701529, + 438133154, + 467953069, + 334942634, + 243440098, + 457302027, + 674636140, + 718529249, + 921612110, + 779217058, + 713583046, + 666824893, + 530074627, + 9576019, + 634073373, + 231163140, + 678924307, + 997121878, + 775112239, + 83159589, + 589772529, + 212385868, + 829768562, + 821963365, + 976623024, + 324977907, + 280158329, + 88452334, + 779077084, + 671705193, + 842545869, + 727153452, + 617856355, + 911851809, + 288511425, + 607060512, + 328007906, + 637897761, + 242534940, + 103623504, + 246256, + 690448636, + 660405358, + 549713658, + 129667412, + 790180837, + 57599614 + ], + 531004303 + ], + "output": 37685090039 + }, + { + "input": [ + [ + 945389577, + 111116927, + 908783196, + 50140358, + 959492443, + 621625254, + 255471618, + 856293880, + 431497048, + 900080555, + 48615242, + 323695831, + 793401948, + 608032497, + 260323249, + 285572990, + 862673209, + 78379502, + 715463944, + 37841067, + 420529343, + 276556515, + 156938055, + 173291667, + 926533023, + 328825349, + 264424263, + 752255385, + 748648849, + 537908816, + 312660609, + 359083047, + 552517006, + 785901828, + 196167296, + 638340718, + 38593887, + 35570012, + 889452149, + 16700288, + 309876496, + 710489470, + 604364097, + 492912622, + 578030825, + 150666894, + 226441865, + 90711201, + 185333530, + 810486129, + 182405455, + 977957785, + 733122422, + 731408912, + 139960041, + 682401220, + 681191578, + 288147530, + 359241124, + 460311391, + 233998545, + 297952008, + 384311367, + 675987422, + 273406652, + 75287910, + 928290128, + 911238607, + 407990495, + 442488131, + 405884137, + 947079047, + 99554214, + 172487863, + 761521355, + 102878896, + 560390374, + 692136718, + 871641505, + 88140349, + 989265733, + 784844735, + 77851623, + 532924433, + 269564404, + 239015610, + 96460813, + 833932146, + 121652526, + 447560438, + 133295611, + 743001807, + 500374245, + 588026399, + 3819236, + 625802651, + 303736893, + 459491326, + 890973172, + 174644956, + 948494548, + 521105607, + 696773235, + 620297778, + 573600818, + 448402914, + 689951348, + 884451527, + 521556556, + 425962194, + 622297134, + 69255638, + 321694010, + 631009365, + 878790060, + 280461764, + 594134385, + 827229758, + 12614167, + 210065853, + 169933731, + 417683964, + 296424875, + 442481395, + 718309338, + 40996448, + 859871255, + 956044770, + 231098868, + 227130473, + 297031090, + 165391123, + 873882665, + 320097267, + 96680241, + 603126670, + 267280993, + 717061802, + 583684867, + 770546931, + 638458902, + 521598847, + 590697046, + 156440944 + ], + 711762576 + ], + "output": 16912494358 + }, + { + "input": [ + [ + 787044169, + 658711407, + 94074275, + 518527340, + 34958046, + 505968638, + 169866082, + 558364066, + 996780256, + 807172519, + 269776645, + 99028021, + 824248729, + 776042943, + 216887087, + 637195070 + ], + 76134123 + ], + "output": 1582855757 + }, + { + "input": [ + [ + 344462152, + 518399184, + 880998883, + 58782508, + 790383971, + 864942378, + 59627709, + 567315136, + 855963427, + 547840897, + 151786106, + 589178272, + 308159637, + 581325866, + 100244626, + 283608608, + 931355483, + 328502929, + 930244029, + 511510575, + 46817944, + 5338318, + 157404917, + 815197944, + 325433842, + 84231679, + 748075803, + 828287903, + 8387073, + 251955639, + 575094145, + 607580139, + 154192555, + 980508200, + 93058551, + 290680967, + 657705472, + 779852865, + 454998097, + 123457301, + 994226095, + 83038978, + 379519601, + 34603979, + 963477073, + 951008106, + 468889481, + 735796466, + 764612791, + 469426754, + 434955762, + 908077968, + 564363547, + 961088234, + 682873684, + 8497475, + 439654182, + 650932583, + 822607245, + 432758275, + 58649489, + 227528566, + 576808310, + 504387581, + 9141019, + 328214886, + 578952787, + 395355360, + 245225549, + 447453961, + 540696166, + 698804759, + 183421132, + 444162781, + 463583501, + 215760045, + 682405797, + 464452971, + 647603901, + 729797926, + 812157873, + 602698965, + 73213430, + 241471084, + 115633527, + 517757700, + 752877919, + 21976531, + 558811947, + 243850752, + 716695544, + 873580098, + 635786483, + 210826307, + 939935933, + 598383482, + 825557738, + 774316246, + 661754805, + 227134150, + 514056456, + 257448674, + 224162661, + 21418403, + 606040140, + 973723153, + 519156314, + 231883583, + 879163585, + 930007110, + 41100278, + 883953923, + 154520847, + 597963810, + 962106202, + 700236450, + 369521824, + 226023028, + 227323918, + 826345463, + 930965437, + 793193291, + 676334092, + 618862703, + 201686699, + 164911651, + 946358967, + 260389388, + 392618184, + 819534507, + 277812808, + 786004237, + 182528976, + 553686390, + 686545749, + 676005740, + 27831442, + 63870888, + 499080954, + 754947669, + 559054420, + 393642239, + 338923114, + 314311653, + 245166285, + 822129996, + 847529195, + 508783637, + 196238488, + 363779432, + 568657291, + 520788279, + 88677710, + 850428026, + 912347444, + 45701807, + 105229272, + 725063713, + 35840745, + 724133111, + 168414756, + 905513219, + 712188313, + 173025450, + 778275732, + 382790428, + 769256959, + 593775855, + 478944403, + 965141935, + 397605536, + 40816612, + 637701620, + 549543044, + 303433120, + 215515311, + 503344038, + 960503392, + 125927893, + 769639350, + 172198738, + 409886942, + 164086343, + 113582093, + 41507235, + 545784551, + 482214174, + 467822998, + 483866501, + 896380206, + 105958129, + 706589928, + 680575992, + 634970221, + 960229785, + 620362142, + 439456071, + 599007767, + 130298623, + 832938662, + 43415045, + 722595762, + 126902357, + 90494682, + 949523086, + 82424995, + 634896590, + 726282247, + 750641246, + 388095389, + 416810383, + 994674254, + 378352116, + 873605161, + 455838986, + 860091491, + 817685439, + 568558790, + 57511057, + 161342889, + 943932858, + 65932576, + 346817904, + 235733593, + 728594621, + 30865080, + 399700749, + 453468943, + 126122076, + 948908980, + 65180579, + 604714248, + 997164443, + 236228594, + 582895182, + 45770372, + 480498668, + 621848783, + 607314949, + 10806189, + 903237607, + 863301456, + 973198812, + 245329831, + 648047559, + 714954589, + 863828161, + 979659644, + 461579152, + 369928711, + 588770319, + 843757700, + 682203634, + 900715296, + 880849515, + 545693107, + 714620921, + 40971249, + 110073571, + 770641488, + 563878597, + 346083622, + 828750480, + 856927768, + 424639975, + 408252541, + 171924937, + 802760742, + 256395241, + 643004100, + 768390236, + 991956218, + 296222942, + 143467579, + 201999757, + 896876919, + 540599326, + 480775018, + 511058071, + 937205711, + 585056180, + 883135618, + 958680743, + 281901385, + 675368724, + 372853006, + 362078981, + 528829438, + 51328736, + 163429997, + 235123483, + 190318944, + 637447372, + 747076884 + ], + 923775125 + ], + "output": 26998829529 + }, + { + "input": [ + [ + 73349594, + 18843730, + 656162099, + 684433155, + 13226514, + 423983113, + 765687789, + 430398257, + 290509135, + 322348965, + 704207495, + 34083908, + 444200690, + 638623723, + 123907037, + 382686429, + 965558186, + 342527130, + 335924564, + 65126042, + 236371836, + 222790206, + 769928664, + 119302029, + 202127738, + 435994086, + 923453752, + 528400152, + 424391130, + 235187596, + 600339609, + 753668297, + 839119919, + 751070429, + 960075585, + 7443942, + 315154950, + 621732343, + 761189424, + 184642820, + 6940890, + 911063475, + 622641120, + 85837377, + 647396778, + 141505681, + 155372287, + 730012489, + 19728620, + 531023860, + 497632163, + 894995511, + 493986159, + 481463655, + 464892392, + 239820032, + 703563390, + 722067825, + 951236797, + 336243873, + 735655408, + 465794264, + 984129082, + 625906202, + 636956521, + 914338016, + 574701587, + 671935566, + 318342651, + 94987502, + 202931506, + 516517643, + 741936417, + 57957476, + 452167236, + 578276004, + 984604893, + 16441776, + 630976802, + 51106781, + 10550039, + 669962123, + 163713000, + 773850469, + 174025572, + 19518653, + 803145634, + 456041045, + 665634843, + 522308886, + 13632988, + 154974854, + 408444011, + 911628704, + 815814669, + 77224893, + 201349904, + 880612586, + 270004008, + 106408714, + 384828990, + 507309355, + 719140605, + 821135403, + 191687935, + 701390846, + 28685387, + 630615649, + 537644452, + 751047535, + 154938223, + 331543854, + 197067061, + 940909520, + 355795924, + 14509145, + 651762200, + 587458258, + 484319565, + 917779060, + 415827282, + 513921628, + 914906031, + 166196268, + 842168971, + 998767397, + 7573687, + 610972943, + 443117447, + 722028433, + 265517549, + 573760125, + 999309255, + 255415904, + 194384066, + 893465569, + 183403744, + 696356290, + 952114946, + 608950454, + 502596164, + 397727286, + 954670358, + 625244598, + 702843032, + 314343541, + 437085433, + 386707815, + 565335822, + 710263874, + 646685777, + 872220555, + 672937088, + 707892514, + 383335678, + 236236390, + 190265080, + 70402226, + 366573021, + 562865179, + 261285052, + 3700697, + 872631939, + 198644504, + 291792136, + 538177704, + 640419422, + 707052052, + 837799811, + 815449212, + 630614876, + 887573826, + 897050840, + 362042929, + 217897115, + 394668900, + 784700760, + 643836345, + 181168174, + 804953487, + 647075184, + 165049474, + 32815617, + 543536977, + 212929493, + 50279732, + 623608418, + 239073892, + 144937972, + 563184730, + 240238830, + 775112043, + 315162273, + 117661248, + 483406074, + 703243135, + 679067137, + 387049486, + 651492619, + 354753372, + 575529134, + 90845560, + 155269823, + 22092039, + 862123307, + 839206152, + 88616784, + 167034756, + 97526490, + 849611811, + 198993990, + 251914398, + 384588694, + 905944714, + 883034767, + 784758384, + 973611862, + 624994894, + 53369112, + 853961830, + 189454111, + 271256998, + 600621789, + 531461318, + 455681286, + 520992070, + 295625425, + 384414422, + 420115385, + 296758306, + 594698057, + 138773267, + 123286126, + 854994720, + 178519394, + 640778402, + 404595870, + 614558314, + 856935997, + 960452945, + 967627809, + 388397496, + 376852547, + 493499683, + 111783177, + 672310267, + 647841265, + 150107407, + 4495301, + 705908698, + 928143684, + 32973296, + 775142042, + 408153744, + 409554005, + 243021330, + 426843036, + 482493139, + 996562109, + 42338808, + 744645558, + 673456108, + 378467098, + 70425411, + 436583117, + 933504242, + 649105661, + 46890228, + 849154185, + 211088391, + 265724624, + 924861275, + 927416441, + 320356788, + 118361154, + 221637134, + 809648667, + 168490818, + 376611335, + 258007826, + 956777719, + 494859764, + 643298863, + 809609644, + 883143605, + 296259859, + 529825461, + 132611244, + 485211769, + 72473640, + 303172197, + 454007012, + 845518819, + 104931448, + 318878344, + 383003839, + 347917497, + 932306982, + 978390636, + 592335878, + 722712031, + 526240979, + 731352897, + 980715070, + 254951708, + 829051841, + 729086263, + 450990429, + 110465367, + 501062798, + 406925918, + 534144256, + 557255755, + 96280574, + 93145647, + 657967282, + 71730074, + 333603029, + 524777672, + 636573501, + 120897119, + 605136947, + 7377400, + 985615489, + 739243993, + 26537612, + 302341787, + 908823001, + 761317801, + 451723953, + 869586374, + 226229063, + 579168227, + 269828521, + 586368858, + 496389431, + 556338345, + 14756943, + 354283251, + 637955569, + 990906843, + 836736825, + 175354731, + 503885388, + 244336323, + 672802997, + 416820981, + 936718213, + 255797520, + 133449123, + 645010808, + 49835670, + 909164966, + 422777047, + 184975250, + 312411268, + 723050455, + 546280479, + 276902296, + 161098314, + 775967898, + 24348724, + 672173236, + 614667415, + 749864218, + 291502550, + 258298788, + 17262379, + 449988340, + 927371862, + 890798513, + 607960434, + 936461075, + 799552118, + 630600884, + 200839570, + 182107734, + 604048147, + 670931799, + 480546175, + 506087151, + 139410620, + 829107848, + 532317558, + 354990881, + 76968365, + 140452440, + 182527920, + 233832630, + 343975090, + 424646397, + 646544034, + 637284632, + 570979591, + 783688356, + 661354722, + 627948934, + 267455362, + 677248686, + 86661979, + 742295338, + 861265849, + 115214081, + 188361835, + 342823825, + 616312559, + 548653470, + 324605972, + 674829250, + 440195763, + 874502545, + 570058500, + 699449831, + 28108906, + 54977773, + 853008032, + 607484810, + 3221800, + 173352506, + 410061895, + 989622480, + 369017478, + 246336327, + 773272471, + 842869218, + 949507509, + 972025944, + 71209074, + 68314616, + 338213857, + 991161332, + 948876355, + 31966703, + 428909990, + 851756807, + 774303958, + 782080314, + 333723847, + 863069047, + 605737832, + 644392736, + 779469280, + 542434779, + 440255903, + 538968929, + 795033940, + 950816010, + 661986297, + 367698122, + 459297080, + 801275661, + 281662342, + 447720137, + 776593612, + 896748278, + 358596579, + 432030875, + 679262946, + 676719267, + 48500356, + 499805070, + 908012839, + 283255214, + 234570167, + 351017562, + 615060968, + 871533898, + 815124175, + 146977924, + 629942640, + 409316288, + 569895198, + 272313379, + 624750713, + 295888774, + 380179233, + 620145975, + 342605675, + 196803090, + 902674568, + 627986540, + 784793585, + 681393196, + 423105551, + 467646957, + 905402213, + 940533796, + 421660018, + 764459173, + 113627796, + 96605240, + 370072833, + 624831289, + 936206722, + 796985376, + 903024204, + 678640983, + 375613088, + 858967151, + 77859555, + 672848621, + 169844863, + 391182217, + 835055732, + 154983357, + 145374404, + 165291938, + 991376810, + 580313916, + 54018078, + 773609970, + 181741592, + 389040103, + 846012116, + 45604765, + 537558344, + 264122183, + 38893507, + 386085740, + 223059408, + 856985578, + 516461823, + 753092701, + 735302582, + 732634831, + 422281959, + 423584239, + 219528395, + 796163137, + 800471322, + 113305943, + 603235381, + 612651224, + 637441236, + 232603244, + 123505898, + 506656131, + 395403933, + 427109971, + 784114229, + 780405280, + 173156464, + 49085757, + 415133643, + 834774864, + 493630071, + 669480906, + 249310740, + 919428187, + 941742614, + 906521552, + 698087954, + 857308532, + 313804315, + 557037327, + 775171539, + 983462619, + 940334019, + 852591, + 776107103, + 517637924, + 242339225, + 467473999, + 40899203, + 648483641, + 175149372, + 390700334, + 859635637, + 822439571, + 296097567, + 914589363, + 825216059, + 951898853, + 273631024 + ], + 242057952 + ], + "output": 20226095086 + }, + { + "input": [ + [ + 425254684, + 789699586, + 176719709, + 591540453, + 677519448, + 616408960, + 419232769, + 23023996, + 335980679, + 344379396, + 678299390, + 263176889, + 94432418, + 240120911, + 159472211, + 938490883, + 839999189, + 4546566, + 67516685, + 511857371, + 148666704, + 655902630, + 785808493, + 859139571, + 28047068, + 797282432, + 991186450, + 695919791, + 182168185, + 527562205, + 691850494, + 384384258, + 39169180, + 813590919, + 814732776, + 759889358, + 3035120, + 102478272, + 770187137, + 140334385, + 896055107, + 707568156, + 497675460, + 357679116, + 850690716, + 573027688, + 16533059, + 351210689, + 117787744, + 182515717, + 559001924, + 554601274, + 911889785, + 70201541, + 697573069, + 135554601, + 912690408, + 128329873, + 361174463, + 230256453, + 574178412, + 467147258, + 4856529, + 135166876, + 604677104, + 511652464, + 907273319, + 297487312, + 819200135, + 281037328, + 377127950, + 63398184, + 623461021, + 106894227, + 502861730, + 226782101, + 675316836, + 453350447, + 544994049, + 773834624, + 481798977, + 300205006, + 233766131, + 912613057, + 112644316, + 164606959, + 468495271, + 566816331, + 91982538, + 715343397, + 720522899, + 471213495, + 224887693, + 404226009, + 113178174, + 203243240, + 4269437, + 630673049, + 89426618, + 565527200, + 368913199, + 267084861, + 863912404, + 462543786, + 12372219, + 5438409, + 378502188, + 660576138, + 913732767, + 85750613, + 888265816, + 559182003, + 910568422, + 28860277, + 948653182, + 822536317, + 201946566, + 652437976, + 808952704, + 494798358, + 965001211, + 322193897, + 654657859, + 958530365, + 482857021, + 646926613, + 428943857, + 663145331, + 214875780, + 320149268, + 491565929, + 223652882, + 965967912, + 797841028, + 930365706, + 557185354, + 797477294, + 67710036, + 413032144, + 264776605, + 235407699, + 434335266, + 732994983, + 96446728, + 455721547, + 514527609, + 950127861, + 724688686, + 918652338, + 307023695, + 518990699, + 773622737, + 933704889, + 996275150, + 513288590, + 727191531, + 398789874, + 710672536, + 316433984, + 202737333, + 644849163, + 676102643, + 293708169, + 655237012, + 166865611, + 820098044, + 664066712, + 789760179, + 342957626, + 514949020, + 269455206, + 211555235, + 541913607, + 110928789, + 792085550, + 734577571, + 427436652, + 753654844, + 194452851, + 505545602, + 352202349, + 327112155, + 561250025, + 768276031, + 636342581, + 758985283, + 390985568, + 263570962, + 194375367, + 395440200, + 495840427, + 58774402, + 98218434, + 426326706, + 508172289, + 153870038, + 306105453, + 847398190, + 327447886, + 78364594, + 332997036, + 883837624, + 780351821, + 798242039, + 931220599, + 251576138, + 593257224, + 838790815, + 52902269, + 503421841, + 523967558, + 813212807, + 747409226, + 574002128, + 432487337, + 235365263, + 31103775, + 895260314, + 453465220, + 180199053, + 859932439, + 364960946, + 85070788, + 617167468, + 389486148, + 445918510, + 680415189, + 818057981, + 232439179, + 474617272, + 590255109, + 142599749, + 64118808, + 501542620, + 670494388, + 716365631, + 985540348, + 719256170, + 905126716, + 711577324, + 191090139, + 741298133, + 170161685, + 176972818, + 177189726, + 932226259, + 631528724, + 52089355, + 486017688, + 740460553, + 997735237, + 760123498, + 553932613, + 117747134, + 161938075, + 74399538, + 960947525, + 59269061, + 633412512, + 972348172, + 167509535, + 312357740, + 568480786, + 209674666, + 652764959, + 479611869, + 789666363, + 221193008, + 647337833, + 175735089, + 271748430, + 955155222, + 340369678, + 561837903, + 936456519, + 69196640, + 330737103, + 765929344, + 653780800, + 268635731, + 647452265, + 862903616, + 337490707, + 682267666, + 937869467, + 193371976, + 158297483, + 512602206, + 890702600, + 501716782, + 980795913, + 235499200, + 310692588, + 854514569, + 512199021, + 876598929, + 609346426, + 795761691, + 215361076, + 867754311, + 293637541, + 101127129, + 878403716, + 932412582, + 520160573, + 896453637, + 986067302, + 890246247, + 987127082, + 891485096, + 41910843, + 841030374, + 306347047, + 731922429, + 834480153, + 388005387, + 267583246, + 446779090, + 847363676, + 197066135, + 768542647, + 304404255, + 765609402, + 604365586, + 90280380, + 33947293, + 295572588, + 927772712, + 575031317, + 841815358, + 669801948, + 895931334, + 666251251, + 447271358, + 339150153, + 439809087, + 636966421, + 95073189, + 120094864, + 724216358, + 648466512, + 986214841, + 595756994, + 764585991, + 797784250, + 474708845, + 489984034, + 950834912, + 280187025, + 334690121, + 311728535, + 898742882, + 827078115, + 243072688, + 160602464, + 89648214, + 757439879, + 100451964, + 694253263, + 632124432, + 459858292, + 788649791, + 293541649, + 563865342, + 923252753, + 634484805, + 322121510, + 93809928, + 345839538, + 662243652, + 456525176, + 623974163, + 785269305, + 883270483, + 76633116, + 722777797, + 527318058, + 861039004, + 680285242, + 788678069, + 203894403, + 396236442, + 372152348, + 298957776, + 573257661, + 781041646, + 518381883, + 579993382, + 44808192, + 45109649, + 493383209, + 495025827, + 892958739, + 740817392, + 951458279, + 815011652, + 330123825, + 179500137, + 139072840, + 562610724, + 218756925, + 35859717, + 393250151, + 400482915, + 334959185, + 258768509, + 667717124, + 951484453, + 334834725, + 741240644, + 899249177, + 327641080, + 601496982, + 388984457, + 105618491, + 340997278, + 423756896, + 267133162, + 856431025, + 907599362, + 746571907, + 481426513, + 548514573, + 173662619, + 468385700, + 19040270, + 351548924, + 994224480, + 232805696, + 727821318, + 877223237, + 792869903, + 921258903, + 706694601, + 610447468, + 224967562, + 414877357, + 747172222, + 222822165, + 661604802, + 565788675, + 204464935, + 991018823, + 663320318, + 914249489, + 274261090, + 558532339, + 988264704, + 899150808, + 273016201, + 883776958, + 929684339, + 750331359, + 387490482, + 471376870, + 4053263, + 788329502, + 944166978, + 507839185, + 82845531, + 432931248, + 930749176, + 871084887, + 317753262, + 596219785, + 252234046, + 570869638, + 477302307, + 532492662, + 300727276, + 43884252, + 42304032, + 408076532, + 273926677, + 483758410, + 20198442, + 858005202, + 880633274, + 966933985, + 586522266, + 319203090, + 221985826, + 824306772, + 974977024, + 788528887, + 472311030, + 365740922, + 383050445, + 633346853, + 861784603, + 518183650, + 817473830, + 176401317, + 366278232, + 564913272, + 686170203, + 675190887, + 337693240, + 143185043, + 778292312, + 679519713, + 921758497, + 576385503, + 580218368, + 542333146, + 329396899, + 695513889, + 909191076, + 526984661, + 976129039, + 154175602, + 905568777, + 764017252, + 510986855, + 523706197, + 700014178, + 118039873, + 795143461, + 610107704, + 721914976, + 118570932, + 117794381, + 704610359, + 889180603, + 124792373, + 359394026, + 809447775, + 785449026, + 844132069, + 339380796, + 867992771, + 411744195, + 393904595, + 194894207, + 874153231, + 185524799, + 878957794, + 913051145, + 532607726, + 379002718, + 439219160, + 931097818, + 559998096, + 136201558, + 372537584, + 138104349, + 138964900, + 563850467, + 449537477, + 796958697, + 158059824, + 407934489, + 174240304, + 933645503, + 94807416, + 618651469, + 258850185, + 756310129, + 418751161, + 551198232, + 895387254, + 665580405, + 12182957, + 764178494, + 434565709, + 550431683, + 560104936, + 304856602, + 658879860, + 754218462, + 520641117, + 839060875, + 867092916, + 448586770, + 725567540, + 457885159, + 862153220, + 320392649, + 608161970, + 717286295, + 889436722, + 707629508, + 887288338, + 640124949, + 246461851, + 447247431, + 61944920, + 458072743, + 22059319, + 760585101, + 812992620, + 94208476, + 179234940, + 154388424, + 746816071, + 868196869, + 101689701, + 104237654, + 169539607, + 449668579, + 243755662, + 1538021, + 811676805, + 453334006, + 205183057, + 274742668, + 667838343, + 111946884, + 962125160, + 169152381, + 164757107, + 820778605, + 40608265, + 833933113, + 597760325, + 733832682, + 34725313, + 750514380, + 648265931, + 39369503, + 423306694, + 716955111, + 599282441, + 843946040, + 590277616, + 978431349, + 468703128, + 319783020, + 968032855, + 121112679, + 322647094, + 532683175, + 785682928, + 563305425, + 807831834, + 993492168, + 280461808, + 110696119, + 18897288, + 439523902, + 568699607, + 133201213, + 670941319, + 84754153, + 482824980, + 595587070, + 177164200, + 296358001, + 604354785, + 82842106, + 433923044, + 915933477, + 448880627, + 60737025, + 418176514, + 362936073, + 563805258, + 68570912, + 404353998, + 186126991, + 823995182, + 172728738, + 374855658, + 774614148, + 120429944, + 126745046, + 931336076, + 820478542, + 980493003, + 113784768, + 717055260, + 72269742, + 42644502, + 361627105, + 567929817, + 703348957, + 946532162, + 730642775, + 896565553, + 245687784, + 678886682, + 796306620, + 618830891, + 70806116, + 880226499, + 743923745, + 402031437, + 585925331, + 546959035, + 694849664, + 450106285, + 498504148, + 164995692, + 97797831, + 201780478, + 101383412, + 837310657, + 452459656, + 80216301, + 958261341, + 757410412, + 388221532, + 299764838, + 191388302, + 107825463, + 933699557, + 946349222, + 189743058, + 905413045, + 618057814, + 595168624, + 523627016, + 701547170, + 742272892, + 523647710, + 893526925, + 974602185, + 597983769, + 752832519, + 199225694, + 398649835, + 390751544, + 126116328, + 133778449, + 844667619, + 483019918, + 921255724, + 963507932, + 531012367, + 107268093, + 619054525, + 669392857, + 754911136, + 749025261, + 84945136, + 581497114, + 82766065, + 207819127, + 638553163, + 92480875, + 384365757, + 323053687, + 5335950, + 908997439, + 398885318, + 542185510, + 508718168, + 73800825, + 936205007, + 413642617, + 440819321, + 216651241, + 579426546, + 168774394, + 637442179, + 952984013, + 526897232, + 719833277, + 592277078, + 919016023, + 589278432, + 48295221, + 928897773, + 117537829, + 220773587, + 761919328, + 37246179, + 481792597, + 518672953, + 560915046, + 22325812, + 496384293, + 129782091, + 333684424, + 277361475, + 413749111, + 307133884, + 17027839, + 948783130, + 90125010, + 23914083, + 686549723, + 758164487, + 904698606, + 276543444, + 507287692, + 774063218, + 523462132, + 996476226, + 727343657, + 632688181, + 982638228, + 945078904, + 694865378, + 512178539, + 65038175, + 166185516, + 973025316, + 31273959, + 719119487, + 709316127, + 988643972, + 659087929, + 442618137, + 694169527, + 144824914, + 355679957, + 954492231, + 42099116, + 664835628, + 784690056, + 824238517, + 609449964, + 282716011, + 878462139, + 751283952, + 603802723, + 984556230, + 402594395, + 767982778, + 204132253, + 817564239, + 841983787, + 708680912, + 507695129, + 193801617, + 315453446, + 27054988, + 435496777, + 288750174, + 452232102, + 262241270, + 781900442, + 701528289, + 210605476, + 809292716, + 244573828, + 143639996, + 796164060, + 268977976, + 928924013, + 143457554, + 337780952, + 697284710, + 629748888, + 488316226, + 821506584, + 972262198, + 449040254, + 555479004, + 684372077, + 370007796, + 895106216, + 576169014, + 432416051, + 693259707, + 904504326, + 373788784, + 187447211, + 576781174, + 42031404, + 212913198, + 323940113, + 545675325, + 66740570, + 768153458, + 177686137, + 76583477, + 433055702, + 306097592, + 351369454, + 26100261, + 338661445, + 552403268, + 444444517, + 361464398, + 745902080, + 368071382, + 501669490, + 881056461, + 633986960, + 92376521, + 447312538, + 322056866, + 952126970, + 132907180, + 779437822, + 82777802, + 399448521, + 884216749, + 755285575, + 294926371, + 583851237, + 576562945, + 363823158, + 450600075, + 424313903, + 786756845, + 317550027, + 247481030, + 676669472, + 739666372, + 222690360, + 374740931, + 135111876, + 831106891, + 173398375, + 577965686, + 270699985, + 58752635, + 177661348, + 285790708, + 594167835, + 460062379, + 573540212, + 749436637, + 67410690, + 317300888, + 271813820, + 576195472, + 605875333, + 712345746, + 648327215, + 43543676, + 36471202, + 521878399, + 852729858, + 17090846, + 599089449, + 442278455, + 32560312, + 613125160, + 297078716, + 860258691, + 811901814, + 360235499, + 621345610, + 432328080, + 940026951, + 730048267, + 330424156, + 17400432, + 844934671, + 14136916, + 717972741, + 55003792, + 820767376, + 221871409, + 622212918, + 528119283, + 82241353, + 61944471, + 527338055, + 463757456, + 95879940, + 952855769, + 210255149, + 443105133, + 83188365, + 785569758, + 243451089, + 99791535, + 946058739, + 28283302, + 232002549, + 484217223, + 351357885, + 399213220, + 967524989, + 671336735, + 293833515, + 344303480, + 125877988, + 538086241, + 472786797, + 821425810, + 319486050, + 263760956, + 237070956, + 981210255, + 295774140, + 34348328, + 439119445, + 334466056, + 144458817, + 954458062, + 131551735, + 564453968 + ], + 259451167 + ], + "output": 38202065813 + }, + { + "input": [ + [ + 124245873, + 75955780, + 633127073, + 728554799, + 702034054, + 402993725, + 717230559, + 16860297, + 492577281, + 16436964, + 712143779, + 355646013, + 159972585, + 117770220, + 682541034, + 219463735, + 147207383, + 438732138, + 994635148, + 331829971, + 27900128, + 37369372, + 185022842, + 577089026, + 288940703, + 486594905, + 921518205, + 820012207, + 69561028, + 352390633, + 211662115, + 696698115, + 803912393, + 23810250, + 777857427, + 541256593, + 988678958, + 704733041, + 658378828, + 972699575, + 295488462, + 341912127, + 166946417, + 361596377, + 300388702, + 784469844, + 292444355, + 309247322, + 858211651, + 490583267, + 763993876, + 501264277, + 978880909, + 402628899, + 714711300, + 870532968, + 715863499, + 262674265, + 362112034, + 858460662, + 213828071, + 849295993, + 735012872, + 944321644, + 92991605, + 423964107, + 76272008, + 709135907, + 621066326, + 717860988, + 721506519, + 963552166, + 923792565, + 376591237, + 585106572, + 939674255, + 75263353, + 597772983, + 766852186, + 401283739, + 644467102, + 38315339, + 760440116, + 504639943, + 827469897, + 247756798, + 465946099, + 837376165, + 484911763, + 640604378, + 334814053, + 345949067, + 458981570, + 526582055, + 83643997, + 220181839, + 547030720, + 579293773, + 550506031, + 122046120, + 168587439, + 81342864, + 968446082, + 308934323, + 111859331, + 904843644, + 719670892, + 692297614, + 75835822, + 584849108, + 789195909, + 416388718, + 59644069, + 347858663, + 364984072, + 416605344, + 595959258, + 375938558, + 953808489, + 144260086, + 674623229, + 758954183, + 112293134, + 355381781, + 206101115, + 443198149, + 923857137, + 617454551, + 906698952, + 639085908, + 108568919, + 405413379, + 594331625, + 59580094, + 510105774, + 766130798, + 725674904, + 456163787, + 997152059, + 614234347, + 272115329, + 603748719, + 556676795, + 400971309, + 608237716, + 987506677, + 271636102, + 986279922, + 272281664, + 483918831, + 748158773, + 123246089, + 597991905, + 122991471, + 883107682, + 690523778, + 111441420, + 985334622, + 60126618, + 878352729, + 998910312, + 933268653, + 321848930, + 703789061, + 397146113, + 271307328, + 822718762, + 618483952, + 144680132, + 757562788, + 219358090, + 290126496, + 452205143, + 650888051, + 613512169, + 782107061, + 467386012, + 548448277, + 28462042, + 837568606, + 974692004, + 145608583, + 753231980, + 563281193, + 653831799, + 407639373, + 375700663, + 273214709, + 794551559, + 193634191, + 478905466, + 517023355, + 680754845, + 573378852, + 167394151, + 677321407, + 783970886, + 223792378, + 747350280, + 580510494, + 106309832, + 880414468, + 326612387, + 767420014, + 88404698, + 242531875, + 486923093, + 326240231, + 616072361, + 596127398, + 554600865, + 206511541, + 498348651, + 799334590, + 136603748, + 827079951, + 594621676, + 450432942, + 109417203, + 823346777, + 718531071, + 498771659, + 884911933, + 742876618, + 314162349, + 465714176, + 863018670, + 862797123, + 699580015, + 830343252, + 984973055, + 195625092, + 317482908, + 180973130, + 202058618, + 129908926, + 480389216, + 589967600, + 990590791, + 529855446, + 87621334, + 535498111, + 792824787, + 587719554, + 738777889, + 885484790, + 953584958, + 73679405, + 156493973, + 710135956, + 133306846, + 171648672, + 451574675, + 568678770, + 15433889, + 652623981, + 402564876, + 722596134, + 38482508, + 898274496, + 918778262, + 556577064, + 777043028, + 49420358, + 973411966, + 632761678, + 832220139, + 234232561, + 428705356, + 898642231, + 617301353, + 307310155, + 434648934, + 633841927, + 871204202, + 291106737, + 707936, + 128651473, + 64817645, + 211236154, + 72426666, + 54907852, + 746421739, + 364219499, + 637803277, + 140550432, + 504005436, + 926128153, + 950986769, + 250898385, + 32451282, + 431920859, + 829558745, + 887165155, + 600359318, + 404158049, + 18602242, + 715753, + 175442028, + 75845363, + 653871668, + 961395823, + 111735912, + 544612181, + 145381340, + 50498556, + 9943351, + 564783402, + 613553542, + 247999588, + 179386883, + 358295131, + 244858394, + 982976366, + 544323051, + 549374625, + 846934908, + 632011736, + 411108229, + 45023874, + 607111663, + 918351809, + 746696503, + 273389877, + 635021086, + 935304185, + 213266408, + 459592421, + 641419508, + 202658807, + 488697363, + 836031151, + 392244797, + 331378822, + 834982560, + 917713677, + 295616661, + 423620736, + 102951645, + 275922289, + 226258919, + 917161295, + 176514800, + 566834457, + 47259829, + 296132360, + 72959007, + 578688971, + 376055940, + 525741575, + 413470131, + 982638878, + 858730962, + 282615178, + 795930180, + 123593499, + 624766813, + 640755873, + 303661608, + 333318019, + 347154032, + 481264173, + 208245567, + 917820254, + 592078100, + 906796524, + 131952289, + 856218039, + 951978357, + 754987567, + 294139702, + 837754745, + 569592942, + 590537612, + 334062402, + 294033448, + 161333609, + 981780289, + 908851943, + 475013028, + 982829683, + 411380151, + 436754169, + 542070151, + 385148996, + 532221870, + 354067379, + 741370327, + 711168168, + 465159254, + 980008539, + 831737444, + 323004804, + 893406924, + 766373768, + 784319469, + 888778337, + 763367930, + 778751875, + 262073374, + 74186556, + 342756180, + 421198552, + 738033005, + 746781375, + 330543796, + 667104546, + 431850348, + 136818269, + 817596268, + 663429056, + 246412427, + 67351386, + 796694562, + 75996084, + 456272283, + 501807449, + 72749648, + 477043911, + 947244735, + 997213728, + 266023228, + 744064039, + 499088459, + 862113670, + 439465442, + 979063837, + 331482710, + 657570076, + 894138491, + 866811624, + 514228765, + 898599592, + 42703112, + 295735072, + 133017253, + 172431472, + 753481202, + 110726989, + 413764133, + 232754212, + 845194710, + 25427623, + 615627867, + 385957522, + 120257860, + 808826815, + 833728829, + 782675620, + 235562589, + 6931112, + 571410266, + 26841058, + 771321103, + 676335778, + 92428604, + 389421028, + 316270520, + 928759317, + 650881661, + 546771751, + 594053186, + 609416110, + 317315321, + 41490708, + 743032983, + 465760694, + 385858016, + 330387441, + 402371565, + 746021659, + 539052584, + 863394909, + 214451730, + 876580813, + 660007577, + 474150439, + 138647681, + 683129465, + 942547626, + 799193507, + 953078977, + 167506998, + 49539148, + 319609366, + 730890879, + 361511870, + 228641747, + 632331146, + 490605536, + 362120407, + 476520993, + 789919715, + 407205225, + 862012392, + 474066351, + 769820755, + 953539751, + 55297607, + 261579818, + 404238042, + 907070109, + 207901824, + 12020610, + 74905694, + 9150712, + 86239973, + 401194175, + 280600545, + 332909763, + 37729773, + 468283270, + 588395343, + 263486191, + 532647780, + 152193230, + 885590009, + 469463587, + 561125180, + 735579139, + 488407293, + 970633068, + 169159420, + 660655527, + 907149359, + 395473581, + 997106588, + 631626510, + 483230811, + 842998033, + 345871638, + 389093621, + 710135277, + 975426072, + 863950616, + 547652757, + 709058723, + 705508293, + 360850487, + 581297115, + 660245460, + 703369190, + 84908253, + 728141414, + 800217458, + 830152928, + 743160850, + 107386123, + 338636446, + 673109827, + 669873849, + 902938068, + 991431640, + 258735947, + 581604189, + 926875663, + 724668508, + 60884433, + 469669539, + 337900084, + 244790671, + 903980489, + 332822674, + 1597578, + 990411949, + 171242766, + 464017415, + 710955726, + 326231732, + 823694032, + 651851020, + 570569249, + 511096465, + 348115998, + 117903120, + 498186537, + 807894740, + 298964650, + 560020862, + 604083568, + 46904318, + 972618569, + 475635570, + 173084259, + 257055705, + 16439169, + 24578684, + 340857244, + 384014626, + 975264570, + 97941276, + 456680502, + 89366516, + 151087392, + 354033134, + 935653830, + 58855864, + 153134855, + 189012379, + 847441631, + 126475735, + 593706146, + 941846268, + 933169078, + 497259128, + 894057459, + 564705099, + 575019210, + 131331240, + 166936338, + 932350180, + 588192970, + 400889087, + 428059480, + 187803129, + 91647471, + 650217479, + 673209589, + 549896447, + 681895109, + 938148174, + 274116332, + 750418722, + 606153389, + 764335078, + 573500512, + 694180634, + 113674150, + 621126432, + 207083602, + 298407480, + 870555774, + 37434811, + 128171873, + 116543456, + 500080829, + 210044437, + 764954779, + 216867556, + 361972709, + 438881658, + 155071687, + 400182604, + 634579529, + 459464118, + 501143486, + 618073929, + 925822079, + 969174321, + 760578700, + 659118214, + 203148702, + 413198307, + 227715372, + 65922500, + 330923511, + 175824753, + 669851770, + 630683497, + 796635231, + 535131576, + 66872066, + 940786963, + 753001213, + 191737835, + 819988404, + 14453801, + 516256792, + 542615413, + 727600290, + 522885219, + 910506184, + 493819072, + 322198571, + 248052109, + 162236759, + 857210112, + 997799611, + 957721479, + 987973295, + 17465650, + 237422471, + 781188645, + 667566220, + 663842552, + 456028091, + 828842240, + 162777856, + 701088514, + 673289246, + 69628167, + 598757300, + 580194236, + 431890813, + 412769490, + 293677065, + 383014358, + 584204387, + 198722183, + 983810666, + 938949893, + 279969120, + 358214385, + 426502614, + 970149759, + 60525544, + 650400593, + 980511761, + 637252690, + 686629979, + 249234267, + 842555985, + 574832861, + 893942413, + 929374087, + 556122008, + 550539274, + 566624888, + 881919529, + 126158641, + 666898253, + 841076358, + 797762072, + 461795586, + 483662843, + 723990935, + 788898317, + 743573168, + 662323787, + 765637980, + 42283755, + 107529430, + 373116047, + 515170745, + 902523414, + 64317041, + 844686994, + 52360279, + 179907927, + 589208161, + 333430287, + 93330963, + 401619712, + 785082414, + 948721620, + 408959616, + 972814408, + 391845949, + 138448654, + 17182111, + 707488060, + 613642930, + 547428118, + 640721952, + 672879530, + 810507570, + 111828889, + 628373703, + 682206063, + 744672244, + 961994461, + 433116380, + 405537997, + 20286310, + 627710656, + 963675797, + 429800329, + 887335963, + 331696231, + 101080149, + 771106583, + 887818809, + 931675270, + 397915336, + 360929839, + 465935337, + 560724816, + 718905356, + 622190034, + 931409575, + 519844550, + 207818770, + 75630137, + 192787078, + 227176214, + 242792853, + 917745866, + 745416604, + 827090690, + 612847249, + 732515032, + 101634729, + 912706869, + 591482903, + 413254308, + 67910699, + 151657165, + 851432522, + 612649273, + 623066007, + 771117193, + 422135339, + 115291846, + 181496065, + 911927095, + 413816783, + 443490981, + 766104857, + 610303291, + 412781820, + 40298545, + 901789274, + 386397038, + 941601095, + 527354722, + 209232590, + 826931376, + 840959670, + 826945397, + 774561987, + 298400800, + 993747396, + 873714792, + 273158928, + 933649052, + 944833550, + 326005025, + 796375942, + 329814298, + 791199198, + 70270375, + 251468776, + 449083571, + 595167500, + 5912643, + 934868603, + 762291277, + 574514660, + 915073327, + 706290988, + 538338078, + 121579047, + 930408501, + 961501726, + 720472269, + 122644891, + 315183685, + 614013223, + 630600910, + 936271287, + 132325306, + 329074227, + 611391723, + 738993005, + 24780272, + 106741367, + 186089088, + 257542763, + 580346308, + 78197151, + 866636383, + 915165040, + 637200475, + 179140378, + 754441528, + 479361100, + 302755233, + 554385033, + 778512279, + 563709831, + 723108200, + 261122832, + 888714801, + 21411887, + 14799093, + 189683303, + 92932032, + 531227, + 183403347, + 742832224, + 799580047, + 471544539, + 16166225, + 879479632, + 796150602, + 934108151, + 453844881, + 798597493 + ], + 66717029 + ], + "output": 16431925969 + }, + { + "input": [ + [ + 104145496, + 408096451, + 112884298, + 69817558, + 568921433, + 772411842, + 737603450, + 440205867, + 389394248, + 93032420, + 549090174, + 923545549, + 557454778, + 245270016, + 667965711, + 753646855, + 13708052, + 710479000, + 475961589, + 401432714, + 894154382, + 234664473, + 169811531, + 293877285, + 123499001, + 320965060, + 682056844, + 591771756, + 292347921, + 439113056, + 83650679, + 430351367, + 441325260, + 878736125, + 693537810, + 994753611, + 333581083, + 572223420, + 485233091, + 976230933, + 632311239, + 313448507, + 318482215, + 258990017, + 63744994, + 810976898, + 750474246, + 962573658, + 527204060, + 951296911, + 525374343, + 52923665, + 122590468, + 660020718, + 566927760, + 545076019, + 455632452, + 102193940, + 707784208, + 448615499, + 636229653, + 431199326, + 112232755, + 338715862, + 64693671, + 965252061, + 623764390, + 248618656, + 248305, + 533714413, + 106517357, + 375036036, + 259445188, + 385003472, + 420929541, + 441604243, + 85955568, + 353633906, + 405050437, + 961194869, + 398495144, + 582873933, + 566525846, + 202953687, + 639118413, + 534559198, + 122785553, + 138053680, + 279631481, + 362612932, + 802605654, + 165767357, + 669634021, + 767468359, + 685267698, + 724017078, + 613938251, + 752798235, + 591929509, + 95136274, + 354429505, + 787614125, + 635097582, + 427328045, + 867194167, + 805162645, + 666664280, + 714649792, + 457968095, + 938289137, + 59524343, + 604518135, + 485704436, + 9482689, + 634559336, + 301205993, + 367804580, + 635274011, + 540913260, + 460694234, + 678627770, + 732811186, + 865957976, + 362253624, + 558712665, + 817028893, + 977671784, + 22042171, + 398231105, + 688511218, + 897366180, + 102330837, + 24825547, + 184411725, + 244319411, + 687435396, + 754124134, + 313103783, + 204597138, + 682795197, + 725742556, + 687243740, + 337714900, + 921913893, + 199913576, + 301718812, + 717055626, + 392908388, + 7688069, + 516782511, + 464994347, + 108891950, + 727909311, + 102534809, + 488509140, + 836906914, + 295641076, + 923260729, + 564950583, + 903671799, + 981999412, + 58207281, + 845783061, + 147830859, + 66285505, + 925412661, + 534524088, + 492589489, + 282492483, + 213737144, + 358758365, + 701693672, + 718513187, + 612386643, + 536457081, + 829525402, + 582638701, + 898851551, + 58056502, + 145006573, + 120756946, + 345473005, + 994815321, + 169336647, + 450723730, + 19300228, + 196126014, + 74689184, + 203653180, + 134917751, + 588925975, + 197973869, + 416548386, + 524140400, + 945366529, + 462724701, + 565351360, + 696600091, + 716422851, + 331360527, + 325968291, + 701219157, + 355406492, + 671281791, + 483682235, + 110360785, + 652587136, + 555767410, + 282016746, + 389643835, + 632826448, + 197314621, + 10840879, + 136758213, + 22433952, + 658330026, + 71122905, + 181762137, + 750222789, + 618814510, + 811652192 + ], + 306408413 + ], + "output": 13272052798 + }, + { + "input": [ + [ + 915103170, + 266403180, + 118983074, + 460833349, + 43727277, + 318260992, + 664872141, + 845860619, + 643069664, + 960366908, + 553906702, + 212575729, + 224832457, + 174211503, + 282631305, + 156045103, + 955990364, + 542850519, + 592362243, + 539371623, + 795607886, + 90180414, + 192836186, + 420512159, + 592468465, + 823395527, + 466505446, + 343598220, + 336668336, + 166216513, + 779185036, + 881904423, + 273167225, + 835535059, + 938690076, + 986764483, + 395457476, + 361522895, + 584702824, + 858489770, + 830893376, + 344914551, + 958645930, + 449261813, + 678592840, + 542320819, + 557946945, + 823363551, + 730316009, + 205787783, + 349620980, + 96466494 + ], + 354680356 + ], + "output": 10994458258 + } + ], + "haskell_template": "minCost :: [Int] -> Int -> Int\nminCost nums x ", + "ocaml_template": "let minCost (nums: int list) (x: int) : int = ", + "scala_template": "def minCost(nums: List[Int],x: Int): Int = { \n \n}", + "java_template": "class Solution {\n public long minCost(int[] nums, int x) {\n \n }\n}", + "python_template": "class Solution(object):\n def minCost(self, nums, x):\n \"\"\"\n :type nums: List[int]\n :type x: int\n :rtype: int\n \"\"\"\n " +} \ No newline at end of file diff --git a/collecting_chocolates/ocaml_tests/main.ml b/collecting_chocolates/ocaml_tests/main.ml new file mode 100644 index 0000000000000000000000000000000000000000..7751588b3aa265659af6cabe393cb82813ce5d7a --- /dev/null +++ b/collecting_chocolates/ocaml_tests/main.ml @@ -0,0 +1,50 @@ + +module Main = struct + open OUnit2 + + (* Program start *) + + (* Program end *) + + (* Test cases *) + +let test1 _ = assert_equal 13 (minCost [20;1;15] 5) + +let test2 _ = assert_equal 6 (minCost [1;2;3] 4) + +let test3 _ = assert_equal 10633276482 (minCost [195199014; 984800196; 607924423; 36348739; 813130315; 153065099; 588296506; 617132062; 781027683; 116629882; 581208811; 569440617; 870838107; 939227748; 574241627; 488909059; 479214749; 920077184; 809104907; 97812621; 739489242; 733086437; 654080955; 987436545; 140526391; 372643245; 149983222; 229866605; 912832555; 986734995; 161610887; 660721797; 431179104; 37923818; 337467714; 344568419; 408880028; 298866142; 586368843; 655456322; 182642371; 81945619; 607613577; 887811013; 626376923; 715066277; 27312739; 242413291; 491056317; 626066721; 329827884; 51373087; 377603455; 285888257; 289189990; 437036712; 51492615; 773483380; 273050223; 239823783; 178687773; 86195843; 311103091; 513170145; 818474194; 861218557; 673632638; 973212016; 990596428; 584797315; 390187131; 16063215; 671830121; 403723544; 368926620; 291577238; 836588088; 603827758; 2606594; 259323471; 249091497; 372920588; 781724843; 390173853; 817933194; 302969239; 164540460; 652257475; 452847149; 751974372; 417340325; 609385790; 325428582; 5518899; 689255278; 306884488; 240441423; 990221737; 127779717; 469798221; 809710543; 76651043; 114721605; 811337085; 838269422; 210573940; 550804251; 151059732; 963856152; 454169768; 649700828; 863499421; 666400114; 739255458; 148479307; 810214197; 701169766; 224247585; 528904494; 677094434; 656368211; 964745763; 285343955; 354199258; 604592293; 84075276; 171162476; 198006259; 792771994; 921766273; 513057436; 442342857; 393647274; 928913521; 129759381; 926801252; 382921119; 590703484; 947689972; 645597832; 80489849; 402504867; 793560817; 304668159; 752099804; 272063343; 237287828; 311417665; 110016486; 391816426; 573541853; 412955906; 774375508; 988828191; 529616010; 365784851; 130714687; 625023361; 51870264; 3921080; 970552943; 831690784; 304632280; 163415864; 945698689; 992319209; 607764312; 916603382; 69904958; 529364651; 877540295; 742675142; 217211577; 929501124; 359606819; 792089571; 628840547; 470317204; 245666470; 538467321; 542525942; 301217535; 254924657; 494655010; 462250827; 480408495; 21908896; 994013811; 32823489; 900377181; 767397312; 536885644; 109915622; 739194012; 394242870; 281165002; 684530302; 642378737; 252917803; 289701811; 920316781; 561202250; 485794592; 985927864; 452933034; 396341427; 464970466; 650547832; 435718719; 407937592; 825524338; 342161946; 794783327; 78363130; 758859001; 339179672; 276222116; 331080978; 355655498; 529702137; 246833303; 444240535; 390433754; 383207254; 685984136; 776310837; 971712059; 291328757; 498988370; 944595442; 210158741; 474588291; 728452333; 327892670; 633123722; 280937805; 961564731; 896302261; 364818399; 791196212; 678626404; 702912193; 966940719; 697837937; 229233322; 615904816; 142873499; 239716403; 88386028; 814798561; 518353881; 498482718; 458907246; 296617630; 685054486; 159771808; 423294860; 494014169; 150924742; 12436220; 755400713; 258190124; 65531288; 454041355; 221518994; 860222475; 932970280; 531681169; 602109256; 585029274; 24112250; 832975854; 702277613; 886158293; 993671856; 745950250; 9815904; 428057692; 951726244; 182913765; 886722589; 752178138; 941397089; 754737490; 328291852; 179288814; 959223573; 523585699; 542035645; 184733133; 198371804; 304883176; 998452141; 124524129; 885584699; 481174985; 616696757; 593324918; 454968615; 52844661; 970336457; 59652415; 503863689; 763412487; 318086037; 431678900; 772961494; 379979411; 748770602; 564912364; 176131533; 33162653; 811147845; 911170860; 147574219; 147811026; 152613327; 313470576; 67773459; 635593023; 923663369; 940797858; 353228924; 894589838; 113893957; 270912429; 810499926; 343383832; 999461432; 428879623; 882203250; 137842711; 963733831; 228328390; 388609130; 444731715; 876905523; 820643216; 292901933; 300114876; 646370184; 139589078; 173813411; 641490002; 511780675; 138009273; 168326041; 455523429; 577968590; 822486887; 206628466; 406962072; 776818543; 243949136; 773326982; 943666446; 751147131; 535649421; 445290504; 493015215; 441504843; 460178556; 176659001; 966315793; 622966118; 99102348; 959671731; 489578182; 700131590; 692678432; 843997706; 84316992; 295052242; 553321387; 675541223; 343432650; 389473733; 370807758; 385237489; 945158723; 227527971; 875594740; 125454021; 423896252; 15560748; 6210546; 794287516; 458892965; 645223642; 996372617; 537229661; 954211580; 293738043; 696027865; 46737506; 80039731; 692608133; 145885645; 560041641; 318623001; 562827220; 742688194; 100673661; 178786795; 289815352; 652188537; 735242308; 734937272; 891739424; 664946181; 987635466; 788629312; 402822043; 955411387; 929766648; 410007672; 377269822; 561962151; 937239079; 13238555; 966880602; 905525735; 233868138; 123894478; 827850053; 613602240; 649224028; 208377928; 317404952; 872164249; 238027473; 603347539; 15913528; 511476986; 60472308; 825530316; 575387964; 10613894; 817509174; 745601985; 316498340; 393598793; 909624006; 14905850; 215533967; 411912051; 984884312; 749494941; 678806049; 509115086; 312513897; 436730186; 622622583; 410981845; 6187747; 240335095; 871466569; 298738342; 753964255; 842764464; 763669249; 726831257; 262805735; 456928993; 921464338; 398268879; 902183475; 491502741; 872348170; 244442294; 715060792; 925352396; 588960406; 463602725; 881739070; 317752390; 709787883; 704456597; 239353639; 42648361; 330506671; 881390592; 270400733; 431217820; 923604163; 199350714; 730784157; 618816379; 390154481; 510752733; 419362979; 7864821; 670638993; 931944085; 877025976; 356710805; 580480749; 523376265; 32536697; 534640272; 658422828; 602869101; 257627936; 19353320; 307231189; 767777638; 116075954; 910132199; 890785831; 112656238; 535125877; 899585967; 212528780; 52594748; 476910963; 702000280; 914379828; 232401095; 815622453; 170806089; 142026010; 974803062; 446266689; 647729617; 141540830; 209984756; 917469850; 366614793; 505088170; 336199776; 458282243; 776726118; 65898399; 588747470; 336803515; 227473240; 807022596; 76282996; 556822238; 890598517; 320719589; 833641979; 274922280; 850612850; 805689839; 350345518; 268524345; 537854273; 133048817; 941825930; 531193388; 234420006; 652476571; 376886332; 471886483; 966682042; 169210281; 794515277; 84541212; 702197814; 294385154; 932048350; 357165852; 106845267; 838294046; 268767026; 768928242; 317757906; 642134607; 866468112; 408162350; 316778091; 315071199; 946231322; 462597803; 803470909; 113477738; 981387113; 350882681; 622688065; 877058174; 707677845; 678125185; 987244185; 416176335; 435153468; 898770636; 739742120; 368770071; 718975205; 132449699; 112157585; 614954407; 277410771; 845349804; 41620036; 459533573; 440667505; 351711058; 51265070; 692281115; 414086736; 582255027; 278173598; 837369224; 134070537; 411382375; 783386478; 59113229; 20075845; 11128092; 578770990; 239563044; 539793169; 405961871; 465019583; 881445046; 379539062; 604898363; 846257377; 120473440; 286543229; 554792750; 360420609; 994274929; 647518644; 639628224; 958244598; 134806133; 982204738; 969696721; 438608528; 684891723; 401247476; 263136938; 690073753; 429568456; 758466696; 834591579; 765511214; 245834044; 5432691; 949868089; 189205914; 182922234; 267536500; 556288860; 275325798; 228763038; 43198009; 626958467; 589408140; 157891879; 191866252; 566237343; 489338090; 316442951; 378261638; 250879999; 678793094; 863771713; 91704092; 254836077; 169623528; 3163204; 173845140; 346893958; 776113836; 973508092; 645340992; 590430401; 951563534; 473705954; 729796359; 97394867; 103018547; 254535655; 60538203; 584520812; 986220593; 444323091; 965536113; 869419091; 5081692; 327462154; 643651844; 579512728; 908311364; 223782800; 784660433; 354251199; 223432445; 557927372; 132706843; 207201606; 244254156; 597845799; 764449087; 586516681; 815675472; 517278658; 500556000; 970376215; 989955500; 72034657; 206722688] 59772293) + +let test4 _ = assert_equal 37685090039 (minCost [563669213; 825855133; 170715616; 848248921; 900296610; 887903420; 675871814; 486596683; 235735391; 414856374; 822396398; 44266810; 771867053; 915395390; 407577458; 526132977; 435493588; 200118428; 522821959; 508699245; 209107510; 775835633; 848773024; 737330318; 49170263; 680427509; 573882300; 47975331; 107865654; 717536143; 530193469; 815833575; 172088373; 245232698; 13843861; 505703667; 920495124; 239600583; 738826172; 885854894; 287143084; 855637308; 143274687; 483262375; 405384251; 100977809; 953509786; 841235525; 575644136; 728039828; 448530985; 15997067; 72457869; 101030668; 373958835; 405681725; 405119064; 640524495; 878589097; 853263253; 326180319; 905875964; 224218040; 191497343; 54231792; 209037869; 375754140; 733021805; 872850958; 680061098; 909589897; 283417467; 992550860; 786664967; 204480733; 694702469; 695974678; 964700834; 592869236; 401811813; 56938882; 269231172; 766091455; 884761542; 38371452; 154205087; 416251331; 891071809; 869898081; 49865978; 975945402; 890700102; 988503568; 763930157; 815989390; 971377022; 282112026; 877551177; 580863559; 786925081; 447744173; 90081861; 22716552; 610375817; 696503886; 894129516; 643629922; 361399122; 212873496; 24950850; 272084837; 225407940; 69118584; 585427257; 93199531; 759303736; 892684401; 54387311; 219211102; 734932330; 253133867; 287296779; 356393711; 521830829; 942986574; 835526734; 775641657; 793444573; 234586574; 305990543; 589957492; 840715257; 18793840; 61463393; 771904419; 174384737; 449298523; 998770680; 385905690; 556897939; 257114939; 75136071; 458396933; 568211851; 482458998; 156091396; 439827914; 296595468; 806556096; 759274512; 359380225; 11956902; 840335491; 186135643; 512506043; 431375016; 209975739; 955020417; 3503802; 400814123; 234876476; 576947222; 266791712; 608870365; 766466346; 707602090; 428120087; 958082253; 184905080; 433493060; 602373693; 607604421; 812112090; 502237719; 952452187; 987786539; 64846139; 324252439; 59882599; 902241415; 371692197; 546742761; 659820907; 578700678; 551662153; 613246026; 639899097; 117406911; 301855994; 957388774; 897991451; 582703892; 88142700; 266915022; 151060378; 985016617; 149325809; 67085982; 417947811; 510895036; 18308997; 718674228; 332240402; 17036994; 482912726; 351285736; 931679892; 132057383; 15285131; 726581011; 856968187; 152149953; 848842139; 282301851; 885802920; 190876914; 136959644; 148312259; 519113422; 38376962; 356726594; 942808169; 238367302; 976641835; 560402238; 39078265; 846300705; 862455098; 392081438; 13303271; 407489581; 516158738; 426092730; 230270579; 566857210; 671558383; 501070302; 305494756; 149996375; 604973608; 475691854; 535650477; 68341824; 564713481; 675904594; 571734504; 481381942; 499047210; 960241932; 559188621; 339907471; 414845928; 381969569; 412056007; 222429126; 759873667; 95557112; 447973200; 562821228; 719714521; 711258907; 102339783; 482924658; 586039964; 28020821; 110040334; 311022027; 940526292; 648295974; 922554876; 660908464; 757134079; 846179529; 416721229; 980355072; 843258633; 773348852; 966317083; 903796445; 761515397; 962889142; 201745268; 873174137; 212674858; 910042856; 94088310; 168163893; 869159155; 233037439; 230987328; 589828823; 826806352; 664994060; 471688622; 745134907; 103187429; 603229400; 516560254; 955406852; 194155723; 683367090; 424942924; 106958578; 354855672; 35586725; 477587633; 906879483; 747824680; 815731568; 209223077; 478948459; 443136667; 720477753; 440977862; 389579185; 409137367; 666006140; 759594819; 381334522; 126128657; 456579003; 930758953; 190764978; 273220669; 613582969; 239713242; 538056745; 805006158; 752633857; 703024704; 467664263; 53684952; 390578805; 577204112; 323682769; 786364144; 893936510; 950948160; 261353949; 507236096; 366069533; 494139795; 971364473; 39447797; 365220426; 851906154; 317619002; 557803119; 716377485; 174428191; 383384919; 549160022; 571289329; 76711012; 890877483; 712773829; 167470644; 354483046; 477986720; 618472061; 405821922; 218831336; 116007746; 567271319; 477663635; 580816817; 559175243; 606926231; 890403431; 339487787; 248300406; 687048731; 511158806; 678359920; 696800477; 587350397; 179474495; 340894123; 700777902; 845853210; 921124908; 918785967; 587770467; 630217706; 717362563; 595981553; 340289370; 427610929; 714563512; 262433294; 441327464; 401582640; 691140041; 420004646; 656741070; 230421845; 278214583; 730761322; 964957276; 358896796; 557503666; 853464006; 284632286; 459150133; 603336734; 385689302; 356957264; 335776266; 745677663; 725855548; 484327271; 313178752; 850926700; 101190892; 381544552; 337926553; 144349570; 880307824; 281718892; 403045929; 193797651; 519465702; 615842736; 424666106; 214198330; 283598578; 143950066; 16833080; 12717220; 786413914; 249071653; 912424496; 830410107; 366021503; 22560213; 91875567; 567986445; 848426556; 605599362; 54189090; 616921622; 302844160; 477888837; 902147730; 618349759; 30587427; 389475281; 862036284; 248639560; 820585713; 635906374; 449218765; 693837644; 435514535; 995952207; 826467537; 144181767; 531526221; 340055046; 549225799; 387397015; 197758328; 568382231; 639706585; 48358540; 791921427; 185327646; 295792559; 443161478; 443872978; 424874990; 923516857; 98659777; 929205398; 669133063; 287396465; 849895730; 69046697; 474835650; 847853778; 140104095; 603196275; 523573889; 47107877; 895667802; 45583203; 903207368; 922597616; 386665134; 315102966; 16407145; 384915734; 921778962; 804382200; 423945781; 220550809; 880908973; 4152442; 728298706; 749757480; 562235361; 345139267; 77185567; 345823595; 983601915; 844182963; 904106483; 789976799; 394995796; 82586936; 121974183; 967632643; 429796764; 982269365; 799074126; 311149901; 437651442; 519844447; 954891471; 24148725; 538572729; 332529359; 907714845; 215990041; 560502859; 423822439; 484209522; 802193948; 585532543; 966855721; 200591667; 305209084; 400852719; 50671693; 404032320; 836515671; 312576225; 827106112; 285294081; 174463950; 679285468; 855122537; 717877225; 464754682; 345419570; 998396795; 251008696; 742790620; 459229454; 11261094; 483876617; 419697596; 148940629; 916650484; 33264727; 664756256; 81541957; 31814968; 347554098; 417890484; 48888814; 495002841; 990763108; 91580699; 944404984; 133622568; 529489280; 598349305; 841118162; 827171820; 256554468; 94338459; 399748009; 691901866; 296185971; 352638666; 594647125; 284659950; 246324504; 861359917; 821604100; 759018272; 51574016; 982530864; 772588041; 626960703; 131355704; 384815790; 45503822; 96419317; 636778033; 470926487; 456342901; 840785056; 660147669; 563952086; 45348807; 353249931; 926870983; 881556238; 901518240; 925996126; 55810296; 34775496; 472505851; 61286877; 412891222; 179747697; 593260017; 373768607; 130175796; 36417300; 527747064; 92429350; 179745521; 471709998; 912637451; 627440640; 17569947; 252263488; 399000684; 559218361; 383375566; 562068110; 269335761; 101801587; 377797666; 751335451; 958800405; 57913847; 157753477; 921672660; 109999537; 808578430; 903864677; 484110353; 394313430; 136556627; 288535485; 958769834; 300259254; 352195823; 950518461; 180748521; 798899893; 676189982; 606037456; 313955024; 75729256; 680539579; 2269609; 519317676; 875184572; 694575379; 878790683; 979567404; 944184077; 155049229; 436317053; 321749806; 489236705; 763323080; 282028232; 743281357; 498966870; 430221940; 681965311; 926694370; 632135135; 849107909; 230079556; 410061048; 707095537; 634290942; 600545868; 269760407; 452093469; 210219975; 375030799; 76429274; 611824173; 328943400; 105374470; 590497554; 38692832; 349252667; 212616107; 97050040; 404986286; 336667660; 17726065; 1811947; 672254249; 37398438; 691024006; 676578843; 294227226; 194888207; 29543539; 190425768; 322122266; 617590658; 644977987; 93719533; 224317322; 35597134; 101594741; 722223993; 841288301; 154003983; 290603441; 261695433; 343905287; 732488771; 771405000; 12824855; 397055298; 798549264; 375310777; 3160687; 860014925; 873755466; 687485790; 108741641; 591548296; 119514663; 93335768; 494385986; 212548822; 536529513; 101582885; 751996751; 216014136; 346551331; 466701529; 438133154; 467953069; 334942634; 243440098; 457302027; 674636140; 718529249; 921612110; 779217058; 713583046; 666824893; 530074627; 9576019; 634073373; 231163140; 678924307; 997121878; 775112239; 83159589; 589772529; 212385868; 829768562; 821963365; 976623024; 324977907; 280158329; 88452334; 779077084; 671705193; 842545869; 727153452; 617856355; 911851809; 288511425; 607060512; 328007906; 637897761; 242534940; 103623504; 246256; 690448636; 660405358; 549713658; 129667412; 790180837; 57599614] 531004303) + +let test5 _ = assert_equal 16912494358 (minCost [945389577; 111116927; 908783196; 50140358; 959492443; 621625254; 255471618; 856293880; 431497048; 900080555; 48615242; 323695831; 793401948; 608032497; 260323249; 285572990; 862673209; 78379502; 715463944; 37841067; 420529343; 276556515; 156938055; 173291667; 926533023; 328825349; 264424263; 752255385; 748648849; 537908816; 312660609; 359083047; 552517006; 785901828; 196167296; 638340718; 38593887; 35570012; 889452149; 16700288; 309876496; 710489470; 604364097; 492912622; 578030825; 150666894; 226441865; 90711201; 185333530; 810486129; 182405455; 977957785; 733122422; 731408912; 139960041; 682401220; 681191578; 288147530; 359241124; 460311391; 233998545; 297952008; 384311367; 675987422; 273406652; 75287910; 928290128; 911238607; 407990495; 442488131; 405884137; 947079047; 99554214; 172487863; 761521355; 102878896; 560390374; 692136718; 871641505; 88140349; 989265733; 784844735; 77851623; 532924433; 269564404; 239015610; 96460813; 833932146; 121652526; 447560438; 133295611; 743001807; 500374245; 588026399; 3819236; 625802651; 303736893; 459491326; 890973172; 174644956; 948494548; 521105607; 696773235; 620297778; 573600818; 448402914; 689951348; 884451527; 521556556; 425962194; 622297134; 69255638; 321694010; 631009365; 878790060; 280461764; 594134385; 827229758; 12614167; 210065853; 169933731; 417683964; 296424875; 442481395; 718309338; 40996448; 859871255; 956044770; 231098868; 227130473; 297031090; 165391123; 873882665; 320097267; 96680241; 603126670; 267280993; 717061802; 583684867; 770546931; 638458902; 521598847; 590697046; 156440944] 711762576) + +let test6 _ = assert_equal 1582855757 (minCost [787044169; 658711407; 94074275; 518527340; 34958046; 505968638; 169866082; 558364066; 996780256; 807172519; 269776645; 99028021; 824248729; 776042943; 216887087; 637195070] 76134123) + +let test7 _ = assert_equal 26998829529 (minCost [344462152; 518399184; 880998883; 58782508; 790383971; 864942378; 59627709; 567315136; 855963427; 547840897; 151786106; 589178272; 308159637; 581325866; 100244626; 283608608; 931355483; 328502929; 930244029; 511510575; 46817944; 5338318; 157404917; 815197944; 325433842; 84231679; 748075803; 828287903; 8387073; 251955639; 575094145; 607580139; 154192555; 980508200; 93058551; 290680967; 657705472; 779852865; 454998097; 123457301; 994226095; 83038978; 379519601; 34603979; 963477073; 951008106; 468889481; 735796466; 764612791; 469426754; 434955762; 908077968; 564363547; 961088234; 682873684; 8497475; 439654182; 650932583; 822607245; 432758275; 58649489; 227528566; 576808310; 504387581; 9141019; 328214886; 578952787; 395355360; 245225549; 447453961; 540696166; 698804759; 183421132; 444162781; 463583501; 215760045; 682405797; 464452971; 647603901; 729797926; 812157873; 602698965; 73213430; 241471084; 115633527; 517757700; 752877919; 21976531; 558811947; 243850752; 716695544; 873580098; 635786483; 210826307; 939935933; 598383482; 825557738; 774316246; 661754805; 227134150; 514056456; 257448674; 224162661; 21418403; 606040140; 973723153; 519156314; 231883583; 879163585; 930007110; 41100278; 883953923; 154520847; 597963810; 962106202; 700236450; 369521824; 226023028; 227323918; 826345463; 930965437; 793193291; 676334092; 618862703; 201686699; 164911651; 946358967; 260389388; 392618184; 819534507; 277812808; 786004237; 182528976; 553686390; 686545749; 676005740; 27831442; 63870888; 499080954; 754947669; 559054420; 393642239; 338923114; 314311653; 245166285; 822129996; 847529195; 508783637; 196238488; 363779432; 568657291; 520788279; 88677710; 850428026; 912347444; 45701807; 105229272; 725063713; 35840745; 724133111; 168414756; 905513219; 712188313; 173025450; 778275732; 382790428; 769256959; 593775855; 478944403; 965141935; 397605536; 40816612; 637701620; 549543044; 303433120; 215515311; 503344038; 960503392; 125927893; 769639350; 172198738; 409886942; 164086343; 113582093; 41507235; 545784551; 482214174; 467822998; 483866501; 896380206; 105958129; 706589928; 680575992; 634970221; 960229785; 620362142; 439456071; 599007767; 130298623; 832938662; 43415045; 722595762; 126902357; 90494682; 949523086; 82424995; 634896590; 726282247; 750641246; 388095389; 416810383; 994674254; 378352116; 873605161; 455838986; 860091491; 817685439; 568558790; 57511057; 161342889; 943932858; 65932576; 346817904; 235733593; 728594621; 30865080; 399700749; 453468943; 126122076; 948908980; 65180579; 604714248; 997164443; 236228594; 582895182; 45770372; 480498668; 621848783; 607314949; 10806189; 903237607; 863301456; 973198812; 245329831; 648047559; 714954589; 863828161; 979659644; 461579152; 369928711; 588770319; 843757700; 682203634; 900715296; 880849515; 545693107; 714620921; 40971249; 110073571; 770641488; 563878597; 346083622; 828750480; 856927768; 424639975; 408252541; 171924937; 802760742; 256395241; 643004100; 768390236; 991956218; 296222942; 143467579; 201999757; 896876919; 540599326; 480775018; 511058071; 937205711; 585056180; 883135618; 958680743; 281901385; 675368724; 372853006; 362078981; 528829438; 51328736; 163429997; 235123483; 190318944; 637447372; 747076884] 923775125) + +let test8 _ = assert_equal 20226095086 (minCost [73349594; 18843730; 656162099; 684433155; 13226514; 423983113; 765687789; 430398257; 290509135; 322348965; 704207495; 34083908; 444200690; 638623723; 123907037; 382686429; 965558186; 342527130; 335924564; 65126042; 236371836; 222790206; 769928664; 119302029; 202127738; 435994086; 923453752; 528400152; 424391130; 235187596; 600339609; 753668297; 839119919; 751070429; 960075585; 7443942; 315154950; 621732343; 761189424; 184642820; 6940890; 911063475; 622641120; 85837377; 647396778; 141505681; 155372287; 730012489; 19728620; 531023860; 497632163; 894995511; 493986159; 481463655; 464892392; 239820032; 703563390; 722067825; 951236797; 336243873; 735655408; 465794264; 984129082; 625906202; 636956521; 914338016; 574701587; 671935566; 318342651; 94987502; 202931506; 516517643; 741936417; 57957476; 452167236; 578276004; 984604893; 16441776; 630976802; 51106781; 10550039; 669962123; 163713000; 773850469; 174025572; 19518653; 803145634; 456041045; 665634843; 522308886; 13632988; 154974854; 408444011; 911628704; 815814669; 77224893; 201349904; 880612586; 270004008; 106408714; 384828990; 507309355; 719140605; 821135403; 191687935; 701390846; 28685387; 630615649; 537644452; 751047535; 154938223; 331543854; 197067061; 940909520; 355795924; 14509145; 651762200; 587458258; 484319565; 917779060; 415827282; 513921628; 914906031; 166196268; 842168971; 998767397; 7573687; 610972943; 443117447; 722028433; 265517549; 573760125; 999309255; 255415904; 194384066; 893465569; 183403744; 696356290; 952114946; 608950454; 502596164; 397727286; 954670358; 625244598; 702843032; 314343541; 437085433; 386707815; 565335822; 710263874; 646685777; 872220555; 672937088; 707892514; 383335678; 236236390; 190265080; 70402226; 366573021; 562865179; 261285052; 3700697; 872631939; 198644504; 291792136; 538177704; 640419422; 707052052; 837799811; 815449212; 630614876; 887573826; 897050840; 362042929; 217897115; 394668900; 784700760; 643836345; 181168174; 804953487; 647075184; 165049474; 32815617; 543536977; 212929493; 50279732; 623608418; 239073892; 144937972; 563184730; 240238830; 775112043; 315162273; 117661248; 483406074; 703243135; 679067137; 387049486; 651492619; 354753372; 575529134; 90845560; 155269823; 22092039; 862123307; 839206152; 88616784; 167034756; 97526490; 849611811; 198993990; 251914398; 384588694; 905944714; 883034767; 784758384; 973611862; 624994894; 53369112; 853961830; 189454111; 271256998; 600621789; 531461318; 455681286; 520992070; 295625425; 384414422; 420115385; 296758306; 594698057; 138773267; 123286126; 854994720; 178519394; 640778402; 404595870; 614558314; 856935997; 960452945; 967627809; 388397496; 376852547; 493499683; 111783177; 672310267; 647841265; 150107407; 4495301; 705908698; 928143684; 32973296; 775142042; 408153744; 409554005; 243021330; 426843036; 482493139; 996562109; 42338808; 744645558; 673456108; 378467098; 70425411; 436583117; 933504242; 649105661; 46890228; 849154185; 211088391; 265724624; 924861275; 927416441; 320356788; 118361154; 221637134; 809648667; 168490818; 376611335; 258007826; 956777719; 494859764; 643298863; 809609644; 883143605; 296259859; 529825461; 132611244; 485211769; 72473640; 303172197; 454007012; 845518819; 104931448; 318878344; 383003839; 347917497; 932306982; 978390636; 592335878; 722712031; 526240979; 731352897; 980715070; 254951708; 829051841; 729086263; 450990429; 110465367; 501062798; 406925918; 534144256; 557255755; 96280574; 93145647; 657967282; 71730074; 333603029; 524777672; 636573501; 120897119; 605136947; 7377400; 985615489; 739243993; 26537612; 302341787; 908823001; 761317801; 451723953; 869586374; 226229063; 579168227; 269828521; 586368858; 496389431; 556338345; 14756943; 354283251; 637955569; 990906843; 836736825; 175354731; 503885388; 244336323; 672802997; 416820981; 936718213; 255797520; 133449123; 645010808; 49835670; 909164966; 422777047; 184975250; 312411268; 723050455; 546280479; 276902296; 161098314; 775967898; 24348724; 672173236; 614667415; 749864218; 291502550; 258298788; 17262379; 449988340; 927371862; 890798513; 607960434; 936461075; 799552118; 630600884; 200839570; 182107734; 604048147; 670931799; 480546175; 506087151; 139410620; 829107848; 532317558; 354990881; 76968365; 140452440; 182527920; 233832630; 343975090; 424646397; 646544034; 637284632; 570979591; 783688356; 661354722; 627948934; 267455362; 677248686; 86661979; 742295338; 861265849; 115214081; 188361835; 342823825; 616312559; 548653470; 324605972; 674829250; 440195763; 874502545; 570058500; 699449831; 28108906; 54977773; 853008032; 607484810; 3221800; 173352506; 410061895; 989622480; 369017478; 246336327; 773272471; 842869218; 949507509; 972025944; 71209074; 68314616; 338213857; 991161332; 948876355; 31966703; 428909990; 851756807; 774303958; 782080314; 333723847; 863069047; 605737832; 644392736; 779469280; 542434779; 440255903; 538968929; 795033940; 950816010; 661986297; 367698122; 459297080; 801275661; 281662342; 447720137; 776593612; 896748278; 358596579; 432030875; 679262946; 676719267; 48500356; 499805070; 908012839; 283255214; 234570167; 351017562; 615060968; 871533898; 815124175; 146977924; 629942640; 409316288; 569895198; 272313379; 624750713; 295888774; 380179233; 620145975; 342605675; 196803090; 902674568; 627986540; 784793585; 681393196; 423105551; 467646957; 905402213; 940533796; 421660018; 764459173; 113627796; 96605240; 370072833; 624831289; 936206722; 796985376; 903024204; 678640983; 375613088; 858967151; 77859555; 672848621; 169844863; 391182217; 835055732; 154983357; 145374404; 165291938; 991376810; 580313916; 54018078; 773609970; 181741592; 389040103; 846012116; 45604765; 537558344; 264122183; 38893507; 386085740; 223059408; 856985578; 516461823; 753092701; 735302582; 732634831; 422281959; 423584239; 219528395; 796163137; 800471322; 113305943; 603235381; 612651224; 637441236; 232603244; 123505898; 506656131; 395403933; 427109971; 784114229; 780405280; 173156464; 49085757; 415133643; 834774864; 493630071; 669480906; 249310740; 919428187; 941742614; 906521552; 698087954; 857308532; 313804315; 557037327; 775171539; 983462619; 940334019; 852591; 776107103; 517637924; 242339225; 467473999; 40899203; 648483641; 175149372; 390700334; 859635637; 822439571; 296097567; 914589363; 825216059; 951898853; 273631024] 242057952) + +let test9 _ = assert_equal 38202065813 (minCost [425254684; 789699586; 176719709; 591540453; 677519448; 616408960; 419232769; 23023996; 335980679; 344379396; 678299390; 263176889; 94432418; 240120911; 159472211; 938490883; 839999189; 4546566; 67516685; 511857371; 148666704; 655902630; 785808493; 859139571; 28047068; 797282432; 991186450; 695919791; 182168185; 527562205; 691850494; 384384258; 39169180; 813590919; 814732776; 759889358; 3035120; 102478272; 770187137; 140334385; 896055107; 707568156; 497675460; 357679116; 850690716; 573027688; 16533059; 351210689; 117787744; 182515717; 559001924; 554601274; 911889785; 70201541; 697573069; 135554601; 912690408; 128329873; 361174463; 230256453; 574178412; 467147258; 4856529; 135166876; 604677104; 511652464; 907273319; 297487312; 819200135; 281037328; 377127950; 63398184; 623461021; 106894227; 502861730; 226782101; 675316836; 453350447; 544994049; 773834624; 481798977; 300205006; 233766131; 912613057; 112644316; 164606959; 468495271; 566816331; 91982538; 715343397; 720522899; 471213495; 224887693; 404226009; 113178174; 203243240; 4269437; 630673049; 89426618; 565527200; 368913199; 267084861; 863912404; 462543786; 12372219; 5438409; 378502188; 660576138; 913732767; 85750613; 888265816; 559182003; 910568422; 28860277; 948653182; 822536317; 201946566; 652437976; 808952704; 494798358; 965001211; 322193897; 654657859; 958530365; 482857021; 646926613; 428943857; 663145331; 214875780; 320149268; 491565929; 223652882; 965967912; 797841028; 930365706; 557185354; 797477294; 67710036; 413032144; 264776605; 235407699; 434335266; 732994983; 96446728; 455721547; 514527609; 950127861; 724688686; 918652338; 307023695; 518990699; 773622737; 933704889; 996275150; 513288590; 727191531; 398789874; 710672536; 316433984; 202737333; 644849163; 676102643; 293708169; 655237012; 166865611; 820098044; 664066712; 789760179; 342957626; 514949020; 269455206; 211555235; 541913607; 110928789; 792085550; 734577571; 427436652; 753654844; 194452851; 505545602; 352202349; 327112155; 561250025; 768276031; 636342581; 758985283; 390985568; 263570962; 194375367; 395440200; 495840427; 58774402; 98218434; 426326706; 508172289; 153870038; 306105453; 847398190; 327447886; 78364594; 332997036; 883837624; 780351821; 798242039; 931220599; 251576138; 593257224; 838790815; 52902269; 503421841; 523967558; 813212807; 747409226; 574002128; 432487337; 235365263; 31103775; 895260314; 453465220; 180199053; 859932439; 364960946; 85070788; 617167468; 389486148; 445918510; 680415189; 818057981; 232439179; 474617272; 590255109; 142599749; 64118808; 501542620; 670494388; 716365631; 985540348; 719256170; 905126716; 711577324; 191090139; 741298133; 170161685; 176972818; 177189726; 932226259; 631528724; 52089355; 486017688; 740460553; 997735237; 760123498; 553932613; 117747134; 161938075; 74399538; 960947525; 59269061; 633412512; 972348172; 167509535; 312357740; 568480786; 209674666; 652764959; 479611869; 789666363; 221193008; 647337833; 175735089; 271748430; 955155222; 340369678; 561837903; 936456519; 69196640; 330737103; 765929344; 653780800; 268635731; 647452265; 862903616; 337490707; 682267666; 937869467; 193371976; 158297483; 512602206; 890702600; 501716782; 980795913; 235499200; 310692588; 854514569; 512199021; 876598929; 609346426; 795761691; 215361076; 867754311; 293637541; 101127129; 878403716; 932412582; 520160573; 896453637; 986067302; 890246247; 987127082; 891485096; 41910843; 841030374; 306347047; 731922429; 834480153; 388005387; 267583246; 446779090; 847363676; 197066135; 768542647; 304404255; 765609402; 604365586; 90280380; 33947293; 295572588; 927772712; 575031317; 841815358; 669801948; 895931334; 666251251; 447271358; 339150153; 439809087; 636966421; 95073189; 120094864; 724216358; 648466512; 986214841; 595756994; 764585991; 797784250; 474708845; 489984034; 950834912; 280187025; 334690121; 311728535; 898742882; 827078115; 243072688; 160602464; 89648214; 757439879; 100451964; 694253263; 632124432; 459858292; 788649791; 293541649; 563865342; 923252753; 634484805; 322121510; 93809928; 345839538; 662243652; 456525176; 623974163; 785269305; 883270483; 76633116; 722777797; 527318058; 861039004; 680285242; 788678069; 203894403; 396236442; 372152348; 298957776; 573257661; 781041646; 518381883; 579993382; 44808192; 45109649; 493383209; 495025827; 892958739; 740817392; 951458279; 815011652; 330123825; 179500137; 139072840; 562610724; 218756925; 35859717; 393250151; 400482915; 334959185; 258768509; 667717124; 951484453; 334834725; 741240644; 899249177; 327641080; 601496982; 388984457; 105618491; 340997278; 423756896; 267133162; 856431025; 907599362; 746571907; 481426513; 548514573; 173662619; 468385700; 19040270; 351548924; 994224480; 232805696; 727821318; 877223237; 792869903; 921258903; 706694601; 610447468; 224967562; 414877357; 747172222; 222822165; 661604802; 565788675; 204464935; 991018823; 663320318; 914249489; 274261090; 558532339; 988264704; 899150808; 273016201; 883776958; 929684339; 750331359; 387490482; 471376870; 4053263; 788329502; 944166978; 507839185; 82845531; 432931248; 930749176; 871084887; 317753262; 596219785; 252234046; 570869638; 477302307; 532492662; 300727276; 43884252; 42304032; 408076532; 273926677; 483758410; 20198442; 858005202; 880633274; 966933985; 586522266; 319203090; 221985826; 824306772; 974977024; 788528887; 472311030; 365740922; 383050445; 633346853; 861784603; 518183650; 817473830; 176401317; 366278232; 564913272; 686170203; 675190887; 337693240; 143185043; 778292312; 679519713; 921758497; 576385503; 580218368; 542333146; 329396899; 695513889; 909191076; 526984661; 976129039; 154175602; 905568777; 764017252; 510986855; 523706197; 700014178; 118039873; 795143461; 610107704; 721914976; 118570932; 117794381; 704610359; 889180603; 124792373; 359394026; 809447775; 785449026; 844132069; 339380796; 867992771; 411744195; 393904595; 194894207; 874153231; 185524799; 878957794; 913051145; 532607726; 379002718; 439219160; 931097818; 559998096; 136201558; 372537584; 138104349; 138964900; 563850467; 449537477; 796958697; 158059824; 407934489; 174240304; 933645503; 94807416; 618651469; 258850185; 756310129; 418751161; 551198232; 895387254; 665580405; 12182957; 764178494; 434565709; 550431683; 560104936; 304856602; 658879860; 754218462; 520641117; 839060875; 867092916; 448586770; 725567540; 457885159; 862153220; 320392649; 608161970; 717286295; 889436722; 707629508; 887288338; 640124949; 246461851; 447247431; 61944920; 458072743; 22059319; 760585101; 812992620; 94208476; 179234940; 154388424; 746816071; 868196869; 101689701; 104237654; 169539607; 449668579; 243755662; 1538021; 811676805; 453334006; 205183057; 274742668; 667838343; 111946884; 962125160; 169152381; 164757107; 820778605; 40608265; 833933113; 597760325; 733832682; 34725313; 750514380; 648265931; 39369503; 423306694; 716955111; 599282441; 843946040; 590277616; 978431349; 468703128; 319783020; 968032855; 121112679; 322647094; 532683175; 785682928; 563305425; 807831834; 993492168; 280461808; 110696119; 18897288; 439523902; 568699607; 133201213; 670941319; 84754153; 482824980; 595587070; 177164200; 296358001; 604354785; 82842106; 433923044; 915933477; 448880627; 60737025; 418176514; 362936073; 563805258; 68570912; 404353998; 186126991; 823995182; 172728738; 374855658; 774614148; 120429944; 126745046; 931336076; 820478542; 980493003; 113784768; 717055260; 72269742; 42644502; 361627105; 567929817; 703348957; 946532162; 730642775; 896565553; 245687784; 678886682; 796306620; 618830891; 70806116; 880226499; 743923745; 402031437; 585925331; 546959035; 694849664; 450106285; 498504148; 164995692; 97797831; 201780478; 101383412; 837310657; 452459656; 80216301; 958261341; 757410412; 388221532; 299764838; 191388302; 107825463; 933699557; 946349222; 189743058; 905413045; 618057814; 595168624; 523627016; 701547170; 742272892; 523647710; 893526925; 974602185; 597983769; 752832519; 199225694; 398649835; 390751544; 126116328; 133778449; 844667619; 483019918; 921255724; 963507932; 531012367; 107268093; 619054525; 669392857; 754911136; 749025261; 84945136; 581497114; 82766065; 207819127; 638553163; 92480875; 384365757; 323053687; 5335950; 908997439; 398885318; 542185510; 508718168; 73800825; 936205007; 413642617; 440819321; 216651241; 579426546; 168774394; 637442179; 952984013; 526897232; 719833277; 592277078; 919016023; 589278432; 48295221; 928897773; 117537829; 220773587; 761919328; 37246179; 481792597; 518672953; 560915046; 22325812; 496384293; 129782091; 333684424; 277361475; 413749111; 307133884; 17027839; 948783130; 90125010; 23914083; 686549723; 758164487; 904698606; 276543444; 507287692; 774063218; 523462132; 996476226; 727343657; 632688181; 982638228; 945078904; 694865378; 512178539; 65038175; 166185516; 973025316; 31273959; 719119487; 709316127; 988643972; 659087929; 442618137; 694169527; 144824914; 355679957; 954492231; 42099116; 664835628; 784690056; 824238517; 609449964; 282716011; 878462139; 751283952; 603802723; 984556230; 402594395; 767982778; 204132253; 817564239; 841983787; 708680912; 507695129; 193801617; 315453446; 27054988; 435496777; 288750174; 452232102; 262241270; 781900442; 701528289; 210605476; 809292716; 244573828; 143639996; 796164060; 268977976; 928924013; 143457554; 337780952; 697284710; 629748888; 488316226; 821506584; 972262198; 449040254; 555479004; 684372077; 370007796; 895106216; 576169014; 432416051; 693259707; 904504326; 373788784; 187447211; 576781174; 42031404; 212913198; 323940113; 545675325; 66740570; 768153458; 177686137; 76583477; 433055702; 306097592; 351369454; 26100261; 338661445; 552403268; 444444517; 361464398; 745902080; 368071382; 501669490; 881056461; 633986960; 92376521; 447312538; 322056866; 952126970; 132907180; 779437822; 82777802; 399448521; 884216749; 755285575; 294926371; 583851237; 576562945; 363823158; 450600075; 424313903; 786756845; 317550027; 247481030; 676669472; 739666372; 222690360; 374740931; 135111876; 831106891; 173398375; 577965686; 270699985; 58752635; 177661348; 285790708; 594167835; 460062379; 573540212; 749436637; 67410690; 317300888; 271813820; 576195472; 605875333; 712345746; 648327215; 43543676; 36471202; 521878399; 852729858; 17090846; 599089449; 442278455; 32560312; 613125160; 297078716; 860258691; 811901814; 360235499; 621345610; 432328080; 940026951; 730048267; 330424156; 17400432; 844934671; 14136916; 717972741; 55003792; 820767376; 221871409; 622212918; 528119283; 82241353; 61944471; 527338055; 463757456; 95879940; 952855769; 210255149; 443105133; 83188365; 785569758; 243451089; 99791535; 946058739; 28283302; 232002549; 484217223; 351357885; 399213220; 967524989; 671336735; 293833515; 344303480; 125877988; 538086241; 472786797; 821425810; 319486050; 263760956; 237070956; 981210255; 295774140; 34348328; 439119445; 334466056; 144458817; 954458062; 131551735; 564453968] 259451167) + +let test10 _ = assert_equal 16431925969 (minCost [124245873; 75955780; 633127073; 728554799; 702034054; 402993725; 717230559; 16860297; 492577281; 16436964; 712143779; 355646013; 159972585; 117770220; 682541034; 219463735; 147207383; 438732138; 994635148; 331829971; 27900128; 37369372; 185022842; 577089026; 288940703; 486594905; 921518205; 820012207; 69561028; 352390633; 211662115; 696698115; 803912393; 23810250; 777857427; 541256593; 988678958; 704733041; 658378828; 972699575; 295488462; 341912127; 166946417; 361596377; 300388702; 784469844; 292444355; 309247322; 858211651; 490583267; 763993876; 501264277; 978880909; 402628899; 714711300; 870532968; 715863499; 262674265; 362112034; 858460662; 213828071; 849295993; 735012872; 944321644; 92991605; 423964107; 76272008; 709135907; 621066326; 717860988; 721506519; 963552166; 923792565; 376591237; 585106572; 939674255; 75263353; 597772983; 766852186; 401283739; 644467102; 38315339; 760440116; 504639943; 827469897; 247756798; 465946099; 837376165; 484911763; 640604378; 334814053; 345949067; 458981570; 526582055; 83643997; 220181839; 547030720; 579293773; 550506031; 122046120; 168587439; 81342864; 968446082; 308934323; 111859331; 904843644; 719670892; 692297614; 75835822; 584849108; 789195909; 416388718; 59644069; 347858663; 364984072; 416605344; 595959258; 375938558; 953808489; 144260086; 674623229; 758954183; 112293134; 355381781; 206101115; 443198149; 923857137; 617454551; 906698952; 639085908; 108568919; 405413379; 594331625; 59580094; 510105774; 766130798; 725674904; 456163787; 997152059; 614234347; 272115329; 603748719; 556676795; 400971309; 608237716; 987506677; 271636102; 986279922; 272281664; 483918831; 748158773; 123246089; 597991905; 122991471; 883107682; 690523778; 111441420; 985334622; 60126618; 878352729; 998910312; 933268653; 321848930; 703789061; 397146113; 271307328; 822718762; 618483952; 144680132; 757562788; 219358090; 290126496; 452205143; 650888051; 613512169; 782107061; 467386012; 548448277; 28462042; 837568606; 974692004; 145608583; 753231980; 563281193; 653831799; 407639373; 375700663; 273214709; 794551559; 193634191; 478905466; 517023355; 680754845; 573378852; 167394151; 677321407; 783970886; 223792378; 747350280; 580510494; 106309832; 880414468; 326612387; 767420014; 88404698; 242531875; 486923093; 326240231; 616072361; 596127398; 554600865; 206511541; 498348651; 799334590; 136603748; 827079951; 594621676; 450432942; 109417203; 823346777; 718531071; 498771659; 884911933; 742876618; 314162349; 465714176; 863018670; 862797123; 699580015; 830343252; 984973055; 195625092; 317482908; 180973130; 202058618; 129908926; 480389216; 589967600; 990590791; 529855446; 87621334; 535498111; 792824787; 587719554; 738777889; 885484790; 953584958; 73679405; 156493973; 710135956; 133306846; 171648672; 451574675; 568678770; 15433889; 652623981; 402564876; 722596134; 38482508; 898274496; 918778262; 556577064; 777043028; 49420358; 973411966; 632761678; 832220139; 234232561; 428705356; 898642231; 617301353; 307310155; 434648934; 633841927; 871204202; 291106737; 707936; 128651473; 64817645; 211236154; 72426666; 54907852; 746421739; 364219499; 637803277; 140550432; 504005436; 926128153; 950986769; 250898385; 32451282; 431920859; 829558745; 887165155; 600359318; 404158049; 18602242; 715753; 175442028; 75845363; 653871668; 961395823; 111735912; 544612181; 145381340; 50498556; 9943351; 564783402; 613553542; 247999588; 179386883; 358295131; 244858394; 982976366; 544323051; 549374625; 846934908; 632011736; 411108229; 45023874; 607111663; 918351809; 746696503; 273389877; 635021086; 935304185; 213266408; 459592421; 641419508; 202658807; 488697363; 836031151; 392244797; 331378822; 834982560; 917713677; 295616661; 423620736; 102951645; 275922289; 226258919; 917161295; 176514800; 566834457; 47259829; 296132360; 72959007; 578688971; 376055940; 525741575; 413470131; 982638878; 858730962; 282615178; 795930180; 123593499; 624766813; 640755873; 303661608; 333318019; 347154032; 481264173; 208245567; 917820254; 592078100; 906796524; 131952289; 856218039; 951978357; 754987567; 294139702; 837754745; 569592942; 590537612; 334062402; 294033448; 161333609; 981780289; 908851943; 475013028; 982829683; 411380151; 436754169; 542070151; 385148996; 532221870; 354067379; 741370327; 711168168; 465159254; 980008539; 831737444; 323004804; 893406924; 766373768; 784319469; 888778337; 763367930; 778751875; 262073374; 74186556; 342756180; 421198552; 738033005; 746781375; 330543796; 667104546; 431850348; 136818269; 817596268; 663429056; 246412427; 67351386; 796694562; 75996084; 456272283; 501807449; 72749648; 477043911; 947244735; 997213728; 266023228; 744064039; 499088459; 862113670; 439465442; 979063837; 331482710; 657570076; 894138491; 866811624; 514228765; 898599592; 42703112; 295735072; 133017253; 172431472; 753481202; 110726989; 413764133; 232754212; 845194710; 25427623; 615627867; 385957522; 120257860; 808826815; 833728829; 782675620; 235562589; 6931112; 571410266; 26841058; 771321103; 676335778; 92428604; 389421028; 316270520; 928759317; 650881661; 546771751; 594053186; 609416110; 317315321; 41490708; 743032983; 465760694; 385858016; 330387441; 402371565; 746021659; 539052584; 863394909; 214451730; 876580813; 660007577; 474150439; 138647681; 683129465; 942547626; 799193507; 953078977; 167506998; 49539148; 319609366; 730890879; 361511870; 228641747; 632331146; 490605536; 362120407; 476520993; 789919715; 407205225; 862012392; 474066351; 769820755; 953539751; 55297607; 261579818; 404238042; 907070109; 207901824; 12020610; 74905694; 9150712; 86239973; 401194175; 280600545; 332909763; 37729773; 468283270; 588395343; 263486191; 532647780; 152193230; 885590009; 469463587; 561125180; 735579139; 488407293; 970633068; 169159420; 660655527; 907149359; 395473581; 997106588; 631626510; 483230811; 842998033; 345871638; 389093621; 710135277; 975426072; 863950616; 547652757; 709058723; 705508293; 360850487; 581297115; 660245460; 703369190; 84908253; 728141414; 800217458; 830152928; 743160850; 107386123; 338636446; 673109827; 669873849; 902938068; 991431640; 258735947; 581604189; 926875663; 724668508; 60884433; 469669539; 337900084; 244790671; 903980489; 332822674; 1597578; 990411949; 171242766; 464017415; 710955726; 326231732; 823694032; 651851020; 570569249; 511096465; 348115998; 117903120; 498186537; 807894740; 298964650; 560020862; 604083568; 46904318; 972618569; 475635570; 173084259; 257055705; 16439169; 24578684; 340857244; 384014626; 975264570; 97941276; 456680502; 89366516; 151087392; 354033134; 935653830; 58855864; 153134855; 189012379; 847441631; 126475735; 593706146; 941846268; 933169078; 497259128; 894057459; 564705099; 575019210; 131331240; 166936338; 932350180; 588192970; 400889087; 428059480; 187803129; 91647471; 650217479; 673209589; 549896447; 681895109; 938148174; 274116332; 750418722; 606153389; 764335078; 573500512; 694180634; 113674150; 621126432; 207083602; 298407480; 870555774; 37434811; 128171873; 116543456; 500080829; 210044437; 764954779; 216867556; 361972709; 438881658; 155071687; 400182604; 634579529; 459464118; 501143486; 618073929; 925822079; 969174321; 760578700; 659118214; 203148702; 413198307; 227715372; 65922500; 330923511; 175824753; 669851770; 630683497; 796635231; 535131576; 66872066; 940786963; 753001213; 191737835; 819988404; 14453801; 516256792; 542615413; 727600290; 522885219; 910506184; 493819072; 322198571; 248052109; 162236759; 857210112; 997799611; 957721479; 987973295; 17465650; 237422471; 781188645; 667566220; 663842552; 456028091; 828842240; 162777856; 701088514; 673289246; 69628167; 598757300; 580194236; 431890813; 412769490; 293677065; 383014358; 584204387; 198722183; 983810666; 938949893; 279969120; 358214385; 426502614; 970149759; 60525544; 650400593; 980511761; 637252690; 686629979; 249234267; 842555985; 574832861; 893942413; 929374087; 556122008; 550539274; 566624888; 881919529; 126158641; 666898253; 841076358; 797762072; 461795586; 483662843; 723990935; 788898317; 743573168; 662323787; 765637980; 42283755; 107529430; 373116047; 515170745; 902523414; 64317041; 844686994; 52360279; 179907927; 589208161; 333430287; 93330963; 401619712; 785082414; 948721620; 408959616; 972814408; 391845949; 138448654; 17182111; 707488060; 613642930; 547428118; 640721952; 672879530; 810507570; 111828889; 628373703; 682206063; 744672244; 961994461; 433116380; 405537997; 20286310; 627710656; 963675797; 429800329; 887335963; 331696231; 101080149; 771106583; 887818809; 931675270; 397915336; 360929839; 465935337; 560724816; 718905356; 622190034; 931409575; 519844550; 207818770; 75630137; 192787078; 227176214; 242792853; 917745866; 745416604; 827090690; 612847249; 732515032; 101634729; 912706869; 591482903; 413254308; 67910699; 151657165; 851432522; 612649273; 623066007; 771117193; 422135339; 115291846; 181496065; 911927095; 413816783; 443490981; 766104857; 610303291; 412781820; 40298545; 901789274; 386397038; 941601095; 527354722; 209232590; 826931376; 840959670; 826945397; 774561987; 298400800; 993747396; 873714792; 273158928; 933649052; 944833550; 326005025; 796375942; 329814298; 791199198; 70270375; 251468776; 449083571; 595167500; 5912643; 934868603; 762291277; 574514660; 915073327; 706290988; 538338078; 121579047; 930408501; 961501726; 720472269; 122644891; 315183685; 614013223; 630600910; 936271287; 132325306; 329074227; 611391723; 738993005; 24780272; 106741367; 186089088; 257542763; 580346308; 78197151; 866636383; 915165040; 637200475; 179140378; 754441528; 479361100; 302755233; 554385033; 778512279; 563709831; 723108200; 261122832; 888714801; 21411887; 14799093; 189683303; 92932032; 531227; 183403347; 742832224; 799580047; 471544539; 16166225; 879479632; 796150602; 934108151; 453844881; 798597493] 66717029) + + + (* Grouping test cases *) + let suite = "Test Suite for minCost" >::: [ + + "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/collecting_chocolates/scala_tests/MySuite.scala b/collecting_chocolates/scala_tests/MySuite.scala new file mode 100644 index 0000000000000000000000000000000000000000..3d442ab0152ebde5fd58c42962fdde18a4b01f99 --- /dev/null +++ b/collecting_chocolates/scala_tests/MySuite.scala @@ -0,0 +1,44 @@ + +class MySuite extends munit.FunSuite { + + test("test1") { + assertEquals(Main.minCost(List(20,1,15),5), 13) + } + + test("test2") { + assertEquals(Main.minCost(List(1,2,3),4), 6) + } + + test("test3") { + assertEquals(Main.minCost(List(195199014, 984800196, 607924423, 36348739, 813130315, 153065099, 588296506, 617132062, 781027683, 116629882, 581208811, 569440617, 870838107, 939227748, 574241627, 488909059, 479214749, 920077184, 809104907, 97812621, 739489242, 733086437, 654080955, 987436545, 140526391, 372643245, 149983222, 229866605, 912832555, 986734995, 161610887, 660721797, 431179104, 37923818, 337467714, 344568419, 408880028, 298866142, 586368843, 655456322, 182642371, 81945619, 607613577, 887811013, 626376923, 715066277, 27312739, 242413291, 491056317, 626066721, 329827884, 51373087, 377603455, 285888257, 289189990, 437036712, 51492615, 773483380, 273050223, 239823783, 178687773, 86195843, 311103091, 513170145, 818474194, 861218557, 673632638, 973212016, 990596428, 584797315, 390187131, 16063215, 671830121, 403723544, 368926620, 291577238, 836588088, 603827758, 2606594, 259323471, 249091497, 372920588, 781724843, 390173853, 817933194, 302969239, 164540460, 652257475, 452847149, 751974372, 417340325, 609385790, 325428582, 5518899, 689255278, 306884488, 240441423, 990221737, 127779717, 469798221, 809710543, 76651043, 114721605, 811337085, 838269422, 210573940, 550804251, 151059732, 963856152, 454169768, 649700828, 863499421, 666400114, 739255458, 148479307, 810214197, 701169766, 224247585, 528904494, 677094434, 656368211, 964745763, 285343955, 354199258, 604592293, 84075276, 171162476, 198006259, 792771994, 921766273, 513057436, 442342857, 393647274, 928913521, 129759381, 926801252, 382921119, 590703484, 947689972, 645597832, 80489849, 402504867, 793560817, 304668159, 752099804, 272063343, 237287828, 311417665, 110016486, 391816426, 573541853, 412955906, 774375508, 988828191, 529616010, 365784851, 130714687, 625023361, 51870264, 3921080, 970552943, 831690784, 304632280, 163415864, 945698689, 992319209, 607764312, 916603382, 69904958, 529364651, 877540295, 742675142, 217211577, 929501124, 359606819, 792089571, 628840547, 470317204, 245666470, 538467321, 542525942, 301217535, 254924657, 494655010, 462250827, 480408495, 21908896, 994013811, 32823489, 900377181, 767397312, 536885644, 109915622, 739194012, 394242870, 281165002, 684530302, 642378737, 252917803, 289701811, 920316781, 561202250, 485794592, 985927864, 452933034, 396341427, 464970466, 650547832, 435718719, 407937592, 825524338, 342161946, 794783327, 78363130, 758859001, 339179672, 276222116, 331080978, 355655498, 529702137, 246833303, 444240535, 390433754, 383207254, 685984136, 776310837, 971712059, 291328757, 498988370, 944595442, 210158741, 474588291, 728452333, 327892670, 633123722, 280937805, 961564731, 896302261, 364818399, 791196212, 678626404, 702912193, 966940719, 697837937, 229233322, 615904816, 142873499, 239716403, 88386028, 814798561, 518353881, 498482718, 458907246, 296617630, 685054486, 159771808, 423294860, 494014169, 150924742, 12436220, 755400713, 258190124, 65531288, 454041355, 221518994, 860222475, 932970280, 531681169, 602109256, 585029274, 24112250, 832975854, 702277613, 886158293, 993671856, 745950250, 9815904, 428057692, 951726244, 182913765, 886722589, 752178138, 941397089, 754737490, 328291852, 179288814, 959223573, 523585699, 542035645, 184733133, 198371804, 304883176, 998452141, 124524129, 885584699, 481174985, 616696757, 593324918, 454968615, 52844661, 970336457, 59652415, 503863689, 763412487, 318086037, 431678900, 772961494, 379979411, 748770602, 564912364, 176131533, 33162653, 811147845, 911170860, 147574219, 147811026, 152613327, 313470576, 67773459, 635593023, 923663369, 940797858, 353228924, 894589838, 113893957, 270912429, 810499926, 343383832, 999461432, 428879623, 882203250, 137842711, 963733831, 228328390, 388609130, 444731715, 876905523, 820643216, 292901933, 300114876, 646370184, 139589078, 173813411, 641490002, 511780675, 138009273, 168326041, 455523429, 577968590, 822486887, 206628466, 406962072, 776818543, 243949136, 773326982, 943666446, 751147131, 535649421, 445290504, 493015215, 441504843, 460178556, 176659001, 966315793, 622966118, 99102348, 959671731, 489578182, 700131590, 692678432, 843997706, 84316992, 295052242, 553321387, 675541223, 343432650, 389473733, 370807758, 385237489, 945158723, 227527971, 875594740, 125454021, 423896252, 15560748, 6210546, 794287516, 458892965, 645223642, 996372617, 537229661, 954211580, 293738043, 696027865, 46737506, 80039731, 692608133, 145885645, 560041641, 318623001, 562827220, 742688194, 100673661, 178786795, 289815352, 652188537, 735242308, 734937272, 891739424, 664946181, 987635466, 788629312, 402822043, 955411387, 929766648, 410007672, 377269822, 561962151, 937239079, 13238555, 966880602, 905525735, 233868138, 123894478, 827850053, 613602240, 649224028, 208377928, 317404952, 872164249, 238027473, 603347539, 15913528, 511476986, 60472308, 825530316, 575387964, 10613894, 817509174, 745601985, 316498340, 393598793, 909624006, 14905850, 215533967, 411912051, 984884312, 749494941, 678806049, 509115086, 312513897, 436730186, 622622583, 410981845, 6187747, 240335095, 871466569, 298738342, 753964255, 842764464, 763669249, 726831257, 262805735, 456928993, 921464338, 398268879, 902183475, 491502741, 872348170, 244442294, 715060792, 925352396, 588960406, 463602725, 881739070, 317752390, 709787883, 704456597, 239353639, 42648361, 330506671, 881390592, 270400733, 431217820, 923604163, 199350714, 730784157, 618816379, 390154481, 510752733, 419362979, 7864821, 670638993, 931944085, 877025976, 356710805, 580480749, 523376265, 32536697, 534640272, 658422828, 602869101, 257627936, 19353320, 307231189, 767777638, 116075954, 910132199, 890785831, 112656238, 535125877, 899585967, 212528780, 52594748, 476910963, 702000280, 914379828, 232401095, 815622453, 170806089, 142026010, 974803062, 446266689, 647729617, 141540830, 209984756, 917469850, 366614793, 505088170, 336199776, 458282243, 776726118, 65898399, 588747470, 336803515, 227473240, 807022596, 76282996, 556822238, 890598517, 320719589, 833641979, 274922280, 850612850, 805689839, 350345518, 268524345, 537854273, 133048817, 941825930, 531193388, 234420006, 652476571, 376886332, 471886483, 966682042, 169210281, 794515277, 84541212, 702197814, 294385154, 932048350, 357165852, 106845267, 838294046, 268767026, 768928242, 317757906, 642134607, 866468112, 408162350, 316778091, 315071199, 946231322, 462597803, 803470909, 113477738, 981387113, 350882681, 622688065, 877058174, 707677845, 678125185, 987244185, 416176335, 435153468, 898770636, 739742120, 368770071, 718975205, 132449699, 112157585, 614954407, 277410771, 845349804, 41620036, 459533573, 440667505, 351711058, 51265070, 692281115, 414086736, 582255027, 278173598, 837369224, 134070537, 411382375, 783386478, 59113229, 20075845, 11128092, 578770990, 239563044, 539793169, 405961871, 465019583, 881445046, 379539062, 604898363, 846257377, 120473440, 286543229, 554792750, 360420609, 994274929, 647518644, 639628224, 958244598, 134806133, 982204738, 969696721, 438608528, 684891723, 401247476, 263136938, 690073753, 429568456, 758466696, 834591579, 765511214, 245834044, 5432691, 949868089, 189205914, 182922234, 267536500, 556288860, 275325798, 228763038, 43198009, 626958467, 589408140, 157891879, 191866252, 566237343, 489338090, 316442951, 378261638, 250879999, 678793094, 863771713, 91704092, 254836077, 169623528, 3163204, 173845140, 346893958, 776113836, 973508092, 645340992, 590430401, 951563534, 473705954, 729796359, 97394867, 103018547, 254535655, 60538203, 584520812, 986220593, 444323091, 965536113, 869419091, 5081692, 327462154, 643651844, 579512728, 908311364, 223782800, 784660433, 354251199, 223432445, 557927372, 132706843, 207201606, 244254156, 597845799, 764449087, 586516681, 815675472, 517278658, 500556000, 970376215, 989955500, 72034657, 206722688),59772293), BigInt("10633276482")) + } + + test("test4") { + assertEquals(Main.minCost(List(563669213, 825855133, 170715616, 848248921, 900296610, 887903420, 675871814, 486596683, 235735391, 414856374, 822396398, 44266810, 771867053, 915395390, 407577458, 526132977, 435493588, 200118428, 522821959, 508699245, 209107510, 775835633, 848773024, 737330318, 49170263, 680427509, 573882300, 47975331, 107865654, 717536143, 530193469, 815833575, 172088373, 245232698, 13843861, 505703667, 920495124, 239600583, 738826172, 885854894, 287143084, 855637308, 143274687, 483262375, 405384251, 100977809, 953509786, 841235525, 575644136, 728039828, 448530985, 15997067, 72457869, 101030668, 373958835, 405681725, 405119064, 640524495, 878589097, 853263253, 326180319, 905875964, 224218040, 191497343, 54231792, 209037869, 375754140, 733021805, 872850958, 680061098, 909589897, 283417467, 992550860, 786664967, 204480733, 694702469, 695974678, 964700834, 592869236, 401811813, 56938882, 269231172, 766091455, 884761542, 38371452, 154205087, 416251331, 891071809, 869898081, 49865978, 975945402, 890700102, 988503568, 763930157, 815989390, 971377022, 282112026, 877551177, 580863559, 786925081, 447744173, 90081861, 22716552, 610375817, 696503886, 894129516, 643629922, 361399122, 212873496, 24950850, 272084837, 225407940, 69118584, 585427257, 93199531, 759303736, 892684401, 54387311, 219211102, 734932330, 253133867, 287296779, 356393711, 521830829, 942986574, 835526734, 775641657, 793444573, 234586574, 305990543, 589957492, 840715257, 18793840, 61463393, 771904419, 174384737, 449298523, 998770680, 385905690, 556897939, 257114939, 75136071, 458396933, 568211851, 482458998, 156091396, 439827914, 296595468, 806556096, 759274512, 359380225, 11956902, 840335491, 186135643, 512506043, 431375016, 209975739, 955020417, 3503802, 400814123, 234876476, 576947222, 266791712, 608870365, 766466346, 707602090, 428120087, 958082253, 184905080, 433493060, 602373693, 607604421, 812112090, 502237719, 952452187, 987786539, 64846139, 324252439, 59882599, 902241415, 371692197, 546742761, 659820907, 578700678, 551662153, 613246026, 639899097, 117406911, 301855994, 957388774, 897991451, 582703892, 88142700, 266915022, 151060378, 985016617, 149325809, 67085982, 417947811, 510895036, 18308997, 718674228, 332240402, 17036994, 482912726, 351285736, 931679892, 132057383, 15285131, 726581011, 856968187, 152149953, 848842139, 282301851, 885802920, 190876914, 136959644, 148312259, 519113422, 38376962, 356726594, 942808169, 238367302, 976641835, 560402238, 39078265, 846300705, 862455098, 392081438, 13303271, 407489581, 516158738, 426092730, 230270579, 566857210, 671558383, 501070302, 305494756, 149996375, 604973608, 475691854, 535650477, 68341824, 564713481, 675904594, 571734504, 481381942, 499047210, 960241932, 559188621, 339907471, 414845928, 381969569, 412056007, 222429126, 759873667, 95557112, 447973200, 562821228, 719714521, 711258907, 102339783, 482924658, 586039964, 28020821, 110040334, 311022027, 940526292, 648295974, 922554876, 660908464, 757134079, 846179529, 416721229, 980355072, 843258633, 773348852, 966317083, 903796445, 761515397, 962889142, 201745268, 873174137, 212674858, 910042856, 94088310, 168163893, 869159155, 233037439, 230987328, 589828823, 826806352, 664994060, 471688622, 745134907, 103187429, 603229400, 516560254, 955406852, 194155723, 683367090, 424942924, 106958578, 354855672, 35586725, 477587633, 906879483, 747824680, 815731568, 209223077, 478948459, 443136667, 720477753, 440977862, 389579185, 409137367, 666006140, 759594819, 381334522, 126128657, 456579003, 930758953, 190764978, 273220669, 613582969, 239713242, 538056745, 805006158, 752633857, 703024704, 467664263, 53684952, 390578805, 577204112, 323682769, 786364144, 893936510, 950948160, 261353949, 507236096, 366069533, 494139795, 971364473, 39447797, 365220426, 851906154, 317619002, 557803119, 716377485, 174428191, 383384919, 549160022, 571289329, 76711012, 890877483, 712773829, 167470644, 354483046, 477986720, 618472061, 405821922, 218831336, 116007746, 567271319, 477663635, 580816817, 559175243, 606926231, 890403431, 339487787, 248300406, 687048731, 511158806, 678359920, 696800477, 587350397, 179474495, 340894123, 700777902, 845853210, 921124908, 918785967, 587770467, 630217706, 717362563, 595981553, 340289370, 427610929, 714563512, 262433294, 441327464, 401582640, 691140041, 420004646, 656741070, 230421845, 278214583, 730761322, 964957276, 358896796, 557503666, 853464006, 284632286, 459150133, 603336734, 385689302, 356957264, 335776266, 745677663, 725855548, 484327271, 313178752, 850926700, 101190892, 381544552, 337926553, 144349570, 880307824, 281718892, 403045929, 193797651, 519465702, 615842736, 424666106, 214198330, 283598578, 143950066, 16833080, 12717220, 786413914, 249071653, 912424496, 830410107, 366021503, 22560213, 91875567, 567986445, 848426556, 605599362, 54189090, 616921622, 302844160, 477888837, 902147730, 618349759, 30587427, 389475281, 862036284, 248639560, 820585713, 635906374, 449218765, 693837644, 435514535, 995952207, 826467537, 144181767, 531526221, 340055046, 549225799, 387397015, 197758328, 568382231, 639706585, 48358540, 791921427, 185327646, 295792559, 443161478, 443872978, 424874990, 923516857, 98659777, 929205398, 669133063, 287396465, 849895730, 69046697, 474835650, 847853778, 140104095, 603196275, 523573889, 47107877, 895667802, 45583203, 903207368, 922597616, 386665134, 315102966, 16407145, 384915734, 921778962, 804382200, 423945781, 220550809, 880908973, 4152442, 728298706, 749757480, 562235361, 345139267, 77185567, 345823595, 983601915, 844182963, 904106483, 789976799, 394995796, 82586936, 121974183, 967632643, 429796764, 982269365, 799074126, 311149901, 437651442, 519844447, 954891471, 24148725, 538572729, 332529359, 907714845, 215990041, 560502859, 423822439, 484209522, 802193948, 585532543, 966855721, 200591667, 305209084, 400852719, 50671693, 404032320, 836515671, 312576225, 827106112, 285294081, 174463950, 679285468, 855122537, 717877225, 464754682, 345419570, 998396795, 251008696, 742790620, 459229454, 11261094, 483876617, 419697596, 148940629, 916650484, 33264727, 664756256, 81541957, 31814968, 347554098, 417890484, 48888814, 495002841, 990763108, 91580699, 944404984, 133622568, 529489280, 598349305, 841118162, 827171820, 256554468, 94338459, 399748009, 691901866, 296185971, 352638666, 594647125, 284659950, 246324504, 861359917, 821604100, 759018272, 51574016, 982530864, 772588041, 626960703, 131355704, 384815790, 45503822, 96419317, 636778033, 470926487, 456342901, 840785056, 660147669, 563952086, 45348807, 353249931, 926870983, 881556238, 901518240, 925996126, 55810296, 34775496, 472505851, 61286877, 412891222, 179747697, 593260017, 373768607, 130175796, 36417300, 527747064, 92429350, 179745521, 471709998, 912637451, 627440640, 17569947, 252263488, 399000684, 559218361, 383375566, 562068110, 269335761, 101801587, 377797666, 751335451, 958800405, 57913847, 157753477, 921672660, 109999537, 808578430, 903864677, 484110353, 394313430, 136556627, 288535485, 958769834, 300259254, 352195823, 950518461, 180748521, 798899893, 676189982, 606037456, 313955024, 75729256, 680539579, 2269609, 519317676, 875184572, 694575379, 878790683, 979567404, 944184077, 155049229, 436317053, 321749806, 489236705, 763323080, 282028232, 743281357, 498966870, 430221940, 681965311, 926694370, 632135135, 849107909, 230079556, 410061048, 707095537, 634290942, 600545868, 269760407, 452093469, 210219975, 375030799, 76429274, 611824173, 328943400, 105374470, 590497554, 38692832, 349252667, 212616107, 97050040, 404986286, 336667660, 17726065, 1811947, 672254249, 37398438, 691024006, 676578843, 294227226, 194888207, 29543539, 190425768, 322122266, 617590658, 644977987, 93719533, 224317322, 35597134, 101594741, 722223993, 841288301, 154003983, 290603441, 261695433, 343905287, 732488771, 771405000, 12824855, 397055298, 798549264, 375310777, 3160687, 860014925, 873755466, 687485790, 108741641, 591548296, 119514663, 93335768, 494385986, 212548822, 536529513, 101582885, 751996751, 216014136, 346551331, 466701529, 438133154, 467953069, 334942634, 243440098, 457302027, 674636140, 718529249, 921612110, 779217058, 713583046, 666824893, 530074627, 9576019, 634073373, 231163140, 678924307, 997121878, 775112239, 83159589, 589772529, 212385868, 829768562, 821963365, 976623024, 324977907, 280158329, 88452334, 779077084, 671705193, 842545869, 727153452, 617856355, 911851809, 288511425, 607060512, 328007906, 637897761, 242534940, 103623504, 246256, 690448636, 660405358, 549713658, 129667412, 790180837, 57599614),531004303), BigInt("37685090039")) + } + + test("test5") { + assertEquals(Main.minCost(List(945389577, 111116927, 908783196, 50140358, 959492443, 621625254, 255471618, 856293880, 431497048, 900080555, 48615242, 323695831, 793401948, 608032497, 260323249, 285572990, 862673209, 78379502, 715463944, 37841067, 420529343, 276556515, 156938055, 173291667, 926533023, 328825349, 264424263, 752255385, 748648849, 537908816, 312660609, 359083047, 552517006, 785901828, 196167296, 638340718, 38593887, 35570012, 889452149, 16700288, 309876496, 710489470, 604364097, 492912622, 578030825, 150666894, 226441865, 90711201, 185333530, 810486129, 182405455, 977957785, 733122422, 731408912, 139960041, 682401220, 681191578, 288147530, 359241124, 460311391, 233998545, 297952008, 384311367, 675987422, 273406652, 75287910, 928290128, 911238607, 407990495, 442488131, 405884137, 947079047, 99554214, 172487863, 761521355, 102878896, 560390374, 692136718, 871641505, 88140349, 989265733, 784844735, 77851623, 532924433, 269564404, 239015610, 96460813, 833932146, 121652526, 447560438, 133295611, 743001807, 500374245, 588026399, 3819236, 625802651, 303736893, 459491326, 890973172, 174644956, 948494548, 521105607, 696773235, 620297778, 573600818, 448402914, 689951348, 884451527, 521556556, 425962194, 622297134, 69255638, 321694010, 631009365, 878790060, 280461764, 594134385, 827229758, 12614167, 210065853, 169933731, 417683964, 296424875, 442481395, 718309338, 40996448, 859871255, 956044770, 231098868, 227130473, 297031090, 165391123, 873882665, 320097267, 96680241, 603126670, 267280993, 717061802, 583684867, 770546931, 638458902, 521598847, 590697046, 156440944),711762576), BigInt("16912494358")) + } + + test("test6") { + assertEquals(Main.minCost(List(787044169, 658711407, 94074275, 518527340, 34958046, 505968638, 169866082, 558364066, 996780256, 807172519, 269776645, 99028021, 824248729, 776042943, 216887087, 637195070),76134123), 1582855757) + } + + test("test7") { + assertEquals(Main.minCost(List(344462152, 518399184, 880998883, 58782508, 790383971, 864942378, 59627709, 567315136, 855963427, 547840897, 151786106, 589178272, 308159637, 581325866, 100244626, 283608608, 931355483, 328502929, 930244029, 511510575, 46817944, 5338318, 157404917, 815197944, 325433842, 84231679, 748075803, 828287903, 8387073, 251955639, 575094145, 607580139, 154192555, 980508200, 93058551, 290680967, 657705472, 779852865, 454998097, 123457301, 994226095, 83038978, 379519601, 34603979, 963477073, 951008106, 468889481, 735796466, 764612791, 469426754, 434955762, 908077968, 564363547, 961088234, 682873684, 8497475, 439654182, 650932583, 822607245, 432758275, 58649489, 227528566, 576808310, 504387581, 9141019, 328214886, 578952787, 395355360, 245225549, 447453961, 540696166, 698804759, 183421132, 444162781, 463583501, 215760045, 682405797, 464452971, 647603901, 729797926, 812157873, 602698965, 73213430, 241471084, 115633527, 517757700, 752877919, 21976531, 558811947, 243850752, 716695544, 873580098, 635786483, 210826307, 939935933, 598383482, 825557738, 774316246, 661754805, 227134150, 514056456, 257448674, 224162661, 21418403, 606040140, 973723153, 519156314, 231883583, 879163585, 930007110, 41100278, 883953923, 154520847, 597963810, 962106202, 700236450, 369521824, 226023028, 227323918, 826345463, 930965437, 793193291, 676334092, 618862703, 201686699, 164911651, 946358967, 260389388, 392618184, 819534507, 277812808, 786004237, 182528976, 553686390, 686545749, 676005740, 27831442, 63870888, 499080954, 754947669, 559054420, 393642239, 338923114, 314311653, 245166285, 822129996, 847529195, 508783637, 196238488, 363779432, 568657291, 520788279, 88677710, 850428026, 912347444, 45701807, 105229272, 725063713, 35840745, 724133111, 168414756, 905513219, 712188313, 173025450, 778275732, 382790428, 769256959, 593775855, 478944403, 965141935, 397605536, 40816612, 637701620, 549543044, 303433120, 215515311, 503344038, 960503392, 125927893, 769639350, 172198738, 409886942, 164086343, 113582093, 41507235, 545784551, 482214174, 467822998, 483866501, 896380206, 105958129, 706589928, 680575992, 634970221, 960229785, 620362142, 439456071, 599007767, 130298623, 832938662, 43415045, 722595762, 126902357, 90494682, 949523086, 82424995, 634896590, 726282247, 750641246, 388095389, 416810383, 994674254, 378352116, 873605161, 455838986, 860091491, 817685439, 568558790, 57511057, 161342889, 943932858, 65932576, 346817904, 235733593, 728594621, 30865080, 399700749, 453468943, 126122076, 948908980, 65180579, 604714248, 997164443, 236228594, 582895182, 45770372, 480498668, 621848783, 607314949, 10806189, 903237607, 863301456, 973198812, 245329831, 648047559, 714954589, 863828161, 979659644, 461579152, 369928711, 588770319, 843757700, 682203634, 900715296, 880849515, 545693107, 714620921, 40971249, 110073571, 770641488, 563878597, 346083622, 828750480, 856927768, 424639975, 408252541, 171924937, 802760742, 256395241, 643004100, 768390236, 991956218, 296222942, 143467579, 201999757, 896876919, 540599326, 480775018, 511058071, 937205711, 585056180, 883135618, 958680743, 281901385, 675368724, 372853006, 362078981, 528829438, 51328736, 163429997, 235123483, 190318944, 637447372, 747076884),923775125), BigInt("26998829529")) + } + + test("test8") { + assertEquals(Main.minCost(List(73349594, 18843730, 656162099, 684433155, 13226514, 423983113, 765687789, 430398257, 290509135, 322348965, 704207495, 34083908, 444200690, 638623723, 123907037, 382686429, 965558186, 342527130, 335924564, 65126042, 236371836, 222790206, 769928664, 119302029, 202127738, 435994086, 923453752, 528400152, 424391130, 235187596, 600339609, 753668297, 839119919, 751070429, 960075585, 7443942, 315154950, 621732343, 761189424, 184642820, 6940890, 911063475, 622641120, 85837377, 647396778, 141505681, 155372287, 730012489, 19728620, 531023860, 497632163, 894995511, 493986159, 481463655, 464892392, 239820032, 703563390, 722067825, 951236797, 336243873, 735655408, 465794264, 984129082, 625906202, 636956521, 914338016, 574701587, 671935566, 318342651, 94987502, 202931506, 516517643, 741936417, 57957476, 452167236, 578276004, 984604893, 16441776, 630976802, 51106781, 10550039, 669962123, 163713000, 773850469, 174025572, 19518653, 803145634, 456041045, 665634843, 522308886, 13632988, 154974854, 408444011, 911628704, 815814669, 77224893, 201349904, 880612586, 270004008, 106408714, 384828990, 507309355, 719140605, 821135403, 191687935, 701390846, 28685387, 630615649, 537644452, 751047535, 154938223, 331543854, 197067061, 940909520, 355795924, 14509145, 651762200, 587458258, 484319565, 917779060, 415827282, 513921628, 914906031, 166196268, 842168971, 998767397, 7573687, 610972943, 443117447, 722028433, 265517549, 573760125, 999309255, 255415904, 194384066, 893465569, 183403744, 696356290, 952114946, 608950454, 502596164, 397727286, 954670358, 625244598, 702843032, 314343541, 437085433, 386707815, 565335822, 710263874, 646685777, 872220555, 672937088, 707892514, 383335678, 236236390, 190265080, 70402226, 366573021, 562865179, 261285052, 3700697, 872631939, 198644504, 291792136, 538177704, 640419422, 707052052, 837799811, 815449212, 630614876, 887573826, 897050840, 362042929, 217897115, 394668900, 784700760, 643836345, 181168174, 804953487, 647075184, 165049474, 32815617, 543536977, 212929493, 50279732, 623608418, 239073892, 144937972, 563184730, 240238830, 775112043, 315162273, 117661248, 483406074, 703243135, 679067137, 387049486, 651492619, 354753372, 575529134, 90845560, 155269823, 22092039, 862123307, 839206152, 88616784, 167034756, 97526490, 849611811, 198993990, 251914398, 384588694, 905944714, 883034767, 784758384, 973611862, 624994894, 53369112, 853961830, 189454111, 271256998, 600621789, 531461318, 455681286, 520992070, 295625425, 384414422, 420115385, 296758306, 594698057, 138773267, 123286126, 854994720, 178519394, 640778402, 404595870, 614558314, 856935997, 960452945, 967627809, 388397496, 376852547, 493499683, 111783177, 672310267, 647841265, 150107407, 4495301, 705908698, 928143684, 32973296, 775142042, 408153744, 409554005, 243021330, 426843036, 482493139, 996562109, 42338808, 744645558, 673456108, 378467098, 70425411, 436583117, 933504242, 649105661, 46890228, 849154185, 211088391, 265724624, 924861275, 927416441, 320356788, 118361154, 221637134, 809648667, 168490818, 376611335, 258007826, 956777719, 494859764, 643298863, 809609644, 883143605, 296259859, 529825461, 132611244, 485211769, 72473640, 303172197, 454007012, 845518819, 104931448, 318878344, 383003839, 347917497, 932306982, 978390636, 592335878, 722712031, 526240979, 731352897, 980715070, 254951708, 829051841, 729086263, 450990429, 110465367, 501062798, 406925918, 534144256, 557255755, 96280574, 93145647, 657967282, 71730074, 333603029, 524777672, 636573501, 120897119, 605136947, 7377400, 985615489, 739243993, 26537612, 302341787, 908823001, 761317801, 451723953, 869586374, 226229063, 579168227, 269828521, 586368858, 496389431, 556338345, 14756943, 354283251, 637955569, 990906843, 836736825, 175354731, 503885388, 244336323, 672802997, 416820981, 936718213, 255797520, 133449123, 645010808, 49835670, 909164966, 422777047, 184975250, 312411268, 723050455, 546280479, 276902296, 161098314, 775967898, 24348724, 672173236, 614667415, 749864218, 291502550, 258298788, 17262379, 449988340, 927371862, 890798513, 607960434, 936461075, 799552118, 630600884, 200839570, 182107734, 604048147, 670931799, 480546175, 506087151, 139410620, 829107848, 532317558, 354990881, 76968365, 140452440, 182527920, 233832630, 343975090, 424646397, 646544034, 637284632, 570979591, 783688356, 661354722, 627948934, 267455362, 677248686, 86661979, 742295338, 861265849, 115214081, 188361835, 342823825, 616312559, 548653470, 324605972, 674829250, 440195763, 874502545, 570058500, 699449831, 28108906, 54977773, 853008032, 607484810, 3221800, 173352506, 410061895, 989622480, 369017478, 246336327, 773272471, 842869218, 949507509, 972025944, 71209074, 68314616, 338213857, 991161332, 948876355, 31966703, 428909990, 851756807, 774303958, 782080314, 333723847, 863069047, 605737832, 644392736, 779469280, 542434779, 440255903, 538968929, 795033940, 950816010, 661986297, 367698122, 459297080, 801275661, 281662342, 447720137, 776593612, 896748278, 358596579, 432030875, 679262946, 676719267, 48500356, 499805070, 908012839, 283255214, 234570167, 351017562, 615060968, 871533898, 815124175, 146977924, 629942640, 409316288, 569895198, 272313379, 624750713, 295888774, 380179233, 620145975, 342605675, 196803090, 902674568, 627986540, 784793585, 681393196, 423105551, 467646957, 905402213, 940533796, 421660018, 764459173, 113627796, 96605240, 370072833, 624831289, 936206722, 796985376, 903024204, 678640983, 375613088, 858967151, 77859555, 672848621, 169844863, 391182217, 835055732, 154983357, 145374404, 165291938, 991376810, 580313916, 54018078, 773609970, 181741592, 389040103, 846012116, 45604765, 537558344, 264122183, 38893507, 386085740, 223059408, 856985578, 516461823, 753092701, 735302582, 732634831, 422281959, 423584239, 219528395, 796163137, 800471322, 113305943, 603235381, 612651224, 637441236, 232603244, 123505898, 506656131, 395403933, 427109971, 784114229, 780405280, 173156464, 49085757, 415133643, 834774864, 493630071, 669480906, 249310740, 919428187, 941742614, 906521552, 698087954, 857308532, 313804315, 557037327, 775171539, 983462619, 940334019, 852591, 776107103, 517637924, 242339225, 467473999, 40899203, 648483641, 175149372, 390700334, 859635637, 822439571, 296097567, 914589363, 825216059, 951898853, 273631024),242057952), BigInt("20226095086")) + } + + test("test9") { + assertEquals(Main.minCost(List(425254684, 789699586, 176719709, 591540453, 677519448, 616408960, 419232769, 23023996, 335980679, 344379396, 678299390, 263176889, 94432418, 240120911, 159472211, 938490883, 839999189, 4546566, 67516685, 511857371, 148666704, 655902630, 785808493, 859139571, 28047068, 797282432, 991186450, 695919791, 182168185, 527562205, 691850494, 384384258, 39169180, 813590919, 814732776, 759889358, 3035120, 102478272, 770187137, 140334385, 896055107, 707568156, 497675460, 357679116, 850690716, 573027688, 16533059, 351210689, 117787744, 182515717, 559001924, 554601274, 911889785, 70201541, 697573069, 135554601, 912690408, 128329873, 361174463, 230256453, 574178412, 467147258, 4856529, 135166876, 604677104, 511652464, 907273319, 297487312, 819200135, 281037328, 377127950, 63398184, 623461021, 106894227, 502861730, 226782101, 675316836, 453350447, 544994049, 773834624, 481798977, 300205006, 233766131, 912613057, 112644316, 164606959, 468495271, 566816331, 91982538, 715343397, 720522899, 471213495, 224887693, 404226009, 113178174, 203243240, 4269437, 630673049, 89426618, 565527200, 368913199, 267084861, 863912404, 462543786, 12372219, 5438409, 378502188, 660576138, 913732767, 85750613, 888265816, 559182003, 910568422, 28860277, 948653182, 822536317, 201946566, 652437976, 808952704, 494798358, 965001211, 322193897, 654657859, 958530365, 482857021, 646926613, 428943857, 663145331, 214875780, 320149268, 491565929, 223652882, 965967912, 797841028, 930365706, 557185354, 797477294, 67710036, 413032144, 264776605, 235407699, 434335266, 732994983, 96446728, 455721547, 514527609, 950127861, 724688686, 918652338, 307023695, 518990699, 773622737, 933704889, 996275150, 513288590, 727191531, 398789874, 710672536, 316433984, 202737333, 644849163, 676102643, 293708169, 655237012, 166865611, 820098044, 664066712, 789760179, 342957626, 514949020, 269455206, 211555235, 541913607, 110928789, 792085550, 734577571, 427436652, 753654844, 194452851, 505545602, 352202349, 327112155, 561250025, 768276031, 636342581, 758985283, 390985568, 263570962, 194375367, 395440200, 495840427, 58774402, 98218434, 426326706, 508172289, 153870038, 306105453, 847398190, 327447886, 78364594, 332997036, 883837624, 780351821, 798242039, 931220599, 251576138, 593257224, 838790815, 52902269, 503421841, 523967558, 813212807, 747409226, 574002128, 432487337, 235365263, 31103775, 895260314, 453465220, 180199053, 859932439, 364960946, 85070788, 617167468, 389486148, 445918510, 680415189, 818057981, 232439179, 474617272, 590255109, 142599749, 64118808, 501542620, 670494388, 716365631, 985540348, 719256170, 905126716, 711577324, 191090139, 741298133, 170161685, 176972818, 177189726, 932226259, 631528724, 52089355, 486017688, 740460553, 997735237, 760123498, 553932613, 117747134, 161938075, 74399538, 960947525, 59269061, 633412512, 972348172, 167509535, 312357740, 568480786, 209674666, 652764959, 479611869, 789666363, 221193008, 647337833, 175735089, 271748430, 955155222, 340369678, 561837903, 936456519, 69196640, 330737103, 765929344, 653780800, 268635731, 647452265, 862903616, 337490707, 682267666, 937869467, 193371976, 158297483, 512602206, 890702600, 501716782, 980795913, 235499200, 310692588, 854514569, 512199021, 876598929, 609346426, 795761691, 215361076, 867754311, 293637541, 101127129, 878403716, 932412582, 520160573, 896453637, 986067302, 890246247, 987127082, 891485096, 41910843, 841030374, 306347047, 731922429, 834480153, 388005387, 267583246, 446779090, 847363676, 197066135, 768542647, 304404255, 765609402, 604365586, 90280380, 33947293, 295572588, 927772712, 575031317, 841815358, 669801948, 895931334, 666251251, 447271358, 339150153, 439809087, 636966421, 95073189, 120094864, 724216358, 648466512, 986214841, 595756994, 764585991, 797784250, 474708845, 489984034, 950834912, 280187025, 334690121, 311728535, 898742882, 827078115, 243072688, 160602464, 89648214, 757439879, 100451964, 694253263, 632124432, 459858292, 788649791, 293541649, 563865342, 923252753, 634484805, 322121510, 93809928, 345839538, 662243652, 456525176, 623974163, 785269305, 883270483, 76633116, 722777797, 527318058, 861039004, 680285242, 788678069, 203894403, 396236442, 372152348, 298957776, 573257661, 781041646, 518381883, 579993382, 44808192, 45109649, 493383209, 495025827, 892958739, 740817392, 951458279, 815011652, 330123825, 179500137, 139072840, 562610724, 218756925, 35859717, 393250151, 400482915, 334959185, 258768509, 667717124, 951484453, 334834725, 741240644, 899249177, 327641080, 601496982, 388984457, 105618491, 340997278, 423756896, 267133162, 856431025, 907599362, 746571907, 481426513, 548514573, 173662619, 468385700, 19040270, 351548924, 994224480, 232805696, 727821318, 877223237, 792869903, 921258903, 706694601, 610447468, 224967562, 414877357, 747172222, 222822165, 661604802, 565788675, 204464935, 991018823, 663320318, 914249489, 274261090, 558532339, 988264704, 899150808, 273016201, 883776958, 929684339, 750331359, 387490482, 471376870, 4053263, 788329502, 944166978, 507839185, 82845531, 432931248, 930749176, 871084887, 317753262, 596219785, 252234046, 570869638, 477302307, 532492662, 300727276, 43884252, 42304032, 408076532, 273926677, 483758410, 20198442, 858005202, 880633274, 966933985, 586522266, 319203090, 221985826, 824306772, 974977024, 788528887, 472311030, 365740922, 383050445, 633346853, 861784603, 518183650, 817473830, 176401317, 366278232, 564913272, 686170203, 675190887, 337693240, 143185043, 778292312, 679519713, 921758497, 576385503, 580218368, 542333146, 329396899, 695513889, 909191076, 526984661, 976129039, 154175602, 905568777, 764017252, 510986855, 523706197, 700014178, 118039873, 795143461, 610107704, 721914976, 118570932, 117794381, 704610359, 889180603, 124792373, 359394026, 809447775, 785449026, 844132069, 339380796, 867992771, 411744195, 393904595, 194894207, 874153231, 185524799, 878957794, 913051145, 532607726, 379002718, 439219160, 931097818, 559998096, 136201558, 372537584, 138104349, 138964900, 563850467, 449537477, 796958697, 158059824, 407934489, 174240304, 933645503, 94807416, 618651469, 258850185, 756310129, 418751161, 551198232, 895387254, 665580405, 12182957, 764178494, 434565709, 550431683, 560104936, 304856602, 658879860, 754218462, 520641117, 839060875, 867092916, 448586770, 725567540, 457885159, 862153220, 320392649, 608161970, 717286295, 889436722, 707629508, 887288338, 640124949, 246461851, 447247431, 61944920, 458072743, 22059319, 760585101, 812992620, 94208476, 179234940, 154388424, 746816071, 868196869, 101689701, 104237654, 169539607, 449668579, 243755662, 1538021, 811676805, 453334006, 205183057, 274742668, 667838343, 111946884, 962125160, 169152381, 164757107, 820778605, 40608265, 833933113, 597760325, 733832682, 34725313, 750514380, 648265931, 39369503, 423306694, 716955111, 599282441, 843946040, 590277616, 978431349, 468703128, 319783020, 968032855, 121112679, 322647094, 532683175, 785682928, 563305425, 807831834, 993492168, 280461808, 110696119, 18897288, 439523902, 568699607, 133201213, 670941319, 84754153, 482824980, 595587070, 177164200, 296358001, 604354785, 82842106, 433923044, 915933477, 448880627, 60737025, 418176514, 362936073, 563805258, 68570912, 404353998, 186126991, 823995182, 172728738, 374855658, 774614148, 120429944, 126745046, 931336076, 820478542, 980493003, 113784768, 717055260, 72269742, 42644502, 361627105, 567929817, 703348957, 946532162, 730642775, 896565553, 245687784, 678886682, 796306620, 618830891, 70806116, 880226499, 743923745, 402031437, 585925331, 546959035, 694849664, 450106285, 498504148, 164995692, 97797831, 201780478, 101383412, 837310657, 452459656, 80216301, 958261341, 757410412, 388221532, 299764838, 191388302, 107825463, 933699557, 946349222, 189743058, 905413045, 618057814, 595168624, 523627016, 701547170, 742272892, 523647710, 893526925, 974602185, 597983769, 752832519, 199225694, 398649835, 390751544, 126116328, 133778449, 844667619, 483019918, 921255724, 963507932, 531012367, 107268093, 619054525, 669392857, 754911136, 749025261, 84945136, 581497114, 82766065, 207819127, 638553163, 92480875, 384365757, 323053687, 5335950, 908997439, 398885318, 542185510, 508718168, 73800825, 936205007, 413642617, 440819321, 216651241, 579426546, 168774394, 637442179, 952984013, 526897232, 719833277, 592277078, 919016023, 589278432, 48295221, 928897773, 117537829, 220773587, 761919328, 37246179, 481792597, 518672953, 560915046, 22325812, 496384293, 129782091, 333684424, 277361475, 413749111, 307133884, 17027839, 948783130, 90125010, 23914083, 686549723, 758164487, 904698606, 276543444, 507287692, 774063218, 523462132, 996476226, 727343657, 632688181, 982638228, 945078904, 694865378, 512178539, 65038175, 166185516, 973025316, 31273959, 719119487, 709316127, 988643972, 659087929, 442618137, 694169527, 144824914, 355679957, 954492231, 42099116, 664835628, 784690056, 824238517, 609449964, 282716011, 878462139, 751283952, 603802723, 984556230, 402594395, 767982778, 204132253, 817564239, 841983787, 708680912, 507695129, 193801617, 315453446, 27054988, 435496777, 288750174, 452232102, 262241270, 781900442, 701528289, 210605476, 809292716, 244573828, 143639996, 796164060, 268977976, 928924013, 143457554, 337780952, 697284710, 629748888, 488316226, 821506584, 972262198, 449040254, 555479004, 684372077, 370007796, 895106216, 576169014, 432416051, 693259707, 904504326, 373788784, 187447211, 576781174, 42031404, 212913198, 323940113, 545675325, 66740570, 768153458, 177686137, 76583477, 433055702, 306097592, 351369454, 26100261, 338661445, 552403268, 444444517, 361464398, 745902080, 368071382, 501669490, 881056461, 633986960, 92376521, 447312538, 322056866, 952126970, 132907180, 779437822, 82777802, 399448521, 884216749, 755285575, 294926371, 583851237, 576562945, 363823158, 450600075, 424313903, 786756845, 317550027, 247481030, 676669472, 739666372, 222690360, 374740931, 135111876, 831106891, 173398375, 577965686, 270699985, 58752635, 177661348, 285790708, 594167835, 460062379, 573540212, 749436637, 67410690, 317300888, 271813820, 576195472, 605875333, 712345746, 648327215, 43543676, 36471202, 521878399, 852729858, 17090846, 599089449, 442278455, 32560312, 613125160, 297078716, 860258691, 811901814, 360235499, 621345610, 432328080, 940026951, 730048267, 330424156, 17400432, 844934671, 14136916, 717972741, 55003792, 820767376, 221871409, 622212918, 528119283, 82241353, 61944471, 527338055, 463757456, 95879940, 952855769, 210255149, 443105133, 83188365, 785569758, 243451089, 99791535, 946058739, 28283302, 232002549, 484217223, 351357885, 399213220, 967524989, 671336735, 293833515, 344303480, 125877988, 538086241, 472786797, 821425810, 319486050, 263760956, 237070956, 981210255, 295774140, 34348328, 439119445, 334466056, 144458817, 954458062, 131551735, 564453968),259451167), BigInt("38202065813")) + } + + test("test10") { + assertEquals(Main.minCost(List(124245873, 75955780, 633127073, 728554799, 702034054, 402993725, 717230559, 16860297, 492577281, 16436964, 712143779, 355646013, 159972585, 117770220, 682541034, 219463735, 147207383, 438732138, 994635148, 331829971, 27900128, 37369372, 185022842, 577089026, 288940703, 486594905, 921518205, 820012207, 69561028, 352390633, 211662115, 696698115, 803912393, 23810250, 777857427, 541256593, 988678958, 704733041, 658378828, 972699575, 295488462, 341912127, 166946417, 361596377, 300388702, 784469844, 292444355, 309247322, 858211651, 490583267, 763993876, 501264277, 978880909, 402628899, 714711300, 870532968, 715863499, 262674265, 362112034, 858460662, 213828071, 849295993, 735012872, 944321644, 92991605, 423964107, 76272008, 709135907, 621066326, 717860988, 721506519, 963552166, 923792565, 376591237, 585106572, 939674255, 75263353, 597772983, 766852186, 401283739, 644467102, 38315339, 760440116, 504639943, 827469897, 247756798, 465946099, 837376165, 484911763, 640604378, 334814053, 345949067, 458981570, 526582055, 83643997, 220181839, 547030720, 579293773, 550506031, 122046120, 168587439, 81342864, 968446082, 308934323, 111859331, 904843644, 719670892, 692297614, 75835822, 584849108, 789195909, 416388718, 59644069, 347858663, 364984072, 416605344, 595959258, 375938558, 953808489, 144260086, 674623229, 758954183, 112293134, 355381781, 206101115, 443198149, 923857137, 617454551, 906698952, 639085908, 108568919, 405413379, 594331625, 59580094, 510105774, 766130798, 725674904, 456163787, 997152059, 614234347, 272115329, 603748719, 556676795, 400971309, 608237716, 987506677, 271636102, 986279922, 272281664, 483918831, 748158773, 123246089, 597991905, 122991471, 883107682, 690523778, 111441420, 985334622, 60126618, 878352729, 998910312, 933268653, 321848930, 703789061, 397146113, 271307328, 822718762, 618483952, 144680132, 757562788, 219358090, 290126496, 452205143, 650888051, 613512169, 782107061, 467386012, 548448277, 28462042, 837568606, 974692004, 145608583, 753231980, 563281193, 653831799, 407639373, 375700663, 273214709, 794551559, 193634191, 478905466, 517023355, 680754845, 573378852, 167394151, 677321407, 783970886, 223792378, 747350280, 580510494, 106309832, 880414468, 326612387, 767420014, 88404698, 242531875, 486923093, 326240231, 616072361, 596127398, 554600865, 206511541, 498348651, 799334590, 136603748, 827079951, 594621676, 450432942, 109417203, 823346777, 718531071, 498771659, 884911933, 742876618, 314162349, 465714176, 863018670, 862797123, 699580015, 830343252, 984973055, 195625092, 317482908, 180973130, 202058618, 129908926, 480389216, 589967600, 990590791, 529855446, 87621334, 535498111, 792824787, 587719554, 738777889, 885484790, 953584958, 73679405, 156493973, 710135956, 133306846, 171648672, 451574675, 568678770, 15433889, 652623981, 402564876, 722596134, 38482508, 898274496, 918778262, 556577064, 777043028, 49420358, 973411966, 632761678, 832220139, 234232561, 428705356, 898642231, 617301353, 307310155, 434648934, 633841927, 871204202, 291106737, 707936, 128651473, 64817645, 211236154, 72426666, 54907852, 746421739, 364219499, 637803277, 140550432, 504005436, 926128153, 950986769, 250898385, 32451282, 431920859, 829558745, 887165155, 600359318, 404158049, 18602242, 715753, 175442028, 75845363, 653871668, 961395823, 111735912, 544612181, 145381340, 50498556, 9943351, 564783402, 613553542, 247999588, 179386883, 358295131, 244858394, 982976366, 544323051, 549374625, 846934908, 632011736, 411108229, 45023874, 607111663, 918351809, 746696503, 273389877, 635021086, 935304185, 213266408, 459592421, 641419508, 202658807, 488697363, 836031151, 392244797, 331378822, 834982560, 917713677, 295616661, 423620736, 102951645, 275922289, 226258919, 917161295, 176514800, 566834457, 47259829, 296132360, 72959007, 578688971, 376055940, 525741575, 413470131, 982638878, 858730962, 282615178, 795930180, 123593499, 624766813, 640755873, 303661608, 333318019, 347154032, 481264173, 208245567, 917820254, 592078100, 906796524, 131952289, 856218039, 951978357, 754987567, 294139702, 837754745, 569592942, 590537612, 334062402, 294033448, 161333609, 981780289, 908851943, 475013028, 982829683, 411380151, 436754169, 542070151, 385148996, 532221870, 354067379, 741370327, 711168168, 465159254, 980008539, 831737444, 323004804, 893406924, 766373768, 784319469, 888778337, 763367930, 778751875, 262073374, 74186556, 342756180, 421198552, 738033005, 746781375, 330543796, 667104546, 431850348, 136818269, 817596268, 663429056, 246412427, 67351386, 796694562, 75996084, 456272283, 501807449, 72749648, 477043911, 947244735, 997213728, 266023228, 744064039, 499088459, 862113670, 439465442, 979063837, 331482710, 657570076, 894138491, 866811624, 514228765, 898599592, 42703112, 295735072, 133017253, 172431472, 753481202, 110726989, 413764133, 232754212, 845194710, 25427623, 615627867, 385957522, 120257860, 808826815, 833728829, 782675620, 235562589, 6931112, 571410266, 26841058, 771321103, 676335778, 92428604, 389421028, 316270520, 928759317, 650881661, 546771751, 594053186, 609416110, 317315321, 41490708, 743032983, 465760694, 385858016, 330387441, 402371565, 746021659, 539052584, 863394909, 214451730, 876580813, 660007577, 474150439, 138647681, 683129465, 942547626, 799193507, 953078977, 167506998, 49539148, 319609366, 730890879, 361511870, 228641747, 632331146, 490605536, 362120407, 476520993, 789919715, 407205225, 862012392, 474066351, 769820755, 953539751, 55297607, 261579818, 404238042, 907070109, 207901824, 12020610, 74905694, 9150712, 86239973, 401194175, 280600545, 332909763, 37729773, 468283270, 588395343, 263486191, 532647780, 152193230, 885590009, 469463587, 561125180, 735579139, 488407293, 970633068, 169159420, 660655527, 907149359, 395473581, 997106588, 631626510, 483230811, 842998033, 345871638, 389093621, 710135277, 975426072, 863950616, 547652757, 709058723, 705508293, 360850487, 581297115, 660245460, 703369190, 84908253, 728141414, 800217458, 830152928, 743160850, 107386123, 338636446, 673109827, 669873849, 902938068, 991431640, 258735947, 581604189, 926875663, 724668508, 60884433, 469669539, 337900084, 244790671, 903980489, 332822674, 1597578, 990411949, 171242766, 464017415, 710955726, 326231732, 823694032, 651851020, 570569249, 511096465, 348115998, 117903120, 498186537, 807894740, 298964650, 560020862, 604083568, 46904318, 972618569, 475635570, 173084259, 257055705, 16439169, 24578684, 340857244, 384014626, 975264570, 97941276, 456680502, 89366516, 151087392, 354033134, 935653830, 58855864, 153134855, 189012379, 847441631, 126475735, 593706146, 941846268, 933169078, 497259128, 894057459, 564705099, 575019210, 131331240, 166936338, 932350180, 588192970, 400889087, 428059480, 187803129, 91647471, 650217479, 673209589, 549896447, 681895109, 938148174, 274116332, 750418722, 606153389, 764335078, 573500512, 694180634, 113674150, 621126432, 207083602, 298407480, 870555774, 37434811, 128171873, 116543456, 500080829, 210044437, 764954779, 216867556, 361972709, 438881658, 155071687, 400182604, 634579529, 459464118, 501143486, 618073929, 925822079, 969174321, 760578700, 659118214, 203148702, 413198307, 227715372, 65922500, 330923511, 175824753, 669851770, 630683497, 796635231, 535131576, 66872066, 940786963, 753001213, 191737835, 819988404, 14453801, 516256792, 542615413, 727600290, 522885219, 910506184, 493819072, 322198571, 248052109, 162236759, 857210112, 997799611, 957721479, 987973295, 17465650, 237422471, 781188645, 667566220, 663842552, 456028091, 828842240, 162777856, 701088514, 673289246, 69628167, 598757300, 580194236, 431890813, 412769490, 293677065, 383014358, 584204387, 198722183, 983810666, 938949893, 279969120, 358214385, 426502614, 970149759, 60525544, 650400593, 980511761, 637252690, 686629979, 249234267, 842555985, 574832861, 893942413, 929374087, 556122008, 550539274, 566624888, 881919529, 126158641, 666898253, 841076358, 797762072, 461795586, 483662843, 723990935, 788898317, 743573168, 662323787, 765637980, 42283755, 107529430, 373116047, 515170745, 902523414, 64317041, 844686994, 52360279, 179907927, 589208161, 333430287, 93330963, 401619712, 785082414, 948721620, 408959616, 972814408, 391845949, 138448654, 17182111, 707488060, 613642930, 547428118, 640721952, 672879530, 810507570, 111828889, 628373703, 682206063, 744672244, 961994461, 433116380, 405537997, 20286310, 627710656, 963675797, 429800329, 887335963, 331696231, 101080149, 771106583, 887818809, 931675270, 397915336, 360929839, 465935337, 560724816, 718905356, 622190034, 931409575, 519844550, 207818770, 75630137, 192787078, 227176214, 242792853, 917745866, 745416604, 827090690, 612847249, 732515032, 101634729, 912706869, 591482903, 413254308, 67910699, 151657165, 851432522, 612649273, 623066007, 771117193, 422135339, 115291846, 181496065, 911927095, 413816783, 443490981, 766104857, 610303291, 412781820, 40298545, 901789274, 386397038, 941601095, 527354722, 209232590, 826931376, 840959670, 826945397, 774561987, 298400800, 993747396, 873714792, 273158928, 933649052, 944833550, 326005025, 796375942, 329814298, 791199198, 70270375, 251468776, 449083571, 595167500, 5912643, 934868603, 762291277, 574514660, 915073327, 706290988, 538338078, 121579047, 930408501, 961501726, 720472269, 122644891, 315183685, 614013223, 630600910, 936271287, 132325306, 329074227, 611391723, 738993005, 24780272, 106741367, 186089088, 257542763, 580346308, 78197151, 866636383, 915165040, 637200475, 179140378, 754441528, 479361100, 302755233, 554385033, 778512279, 563709831, 723108200, 261122832, 888714801, 21411887, 14799093, 189683303, 92932032, 531227, 183403347, 742832224, 799580047, 471544539, 16166225, 879479632, 796150602, 934108151, 453844881, 798597493),66717029), BigInt("16431925969")) + } + +} diff --git a/construct_2d_grid_matching_graph_layout/haskell_tests/Main.hs b/construct_2d_grid_matching_graph_layout/haskell_tests/Main.hs new file mode 100644 index 0000000000000000000000000000000000000000..7bbf302c73bdcc17d23ed6b646b1686c405e01b7 --- /dev/null +++ b/construct_2d_grid_matching_graph_layout/haskell_tests/Main.hs @@ -0,0 +1,30 @@ + +module Main where +import Test.HUnit + +--Program start + +--Program end + +-- Test cases + +test1 :: Test +test1 = TestCase (assertEqual "for (constructGridLayout 4 [[0,1],[0,2],[1,3],[2,3]])," [[3,1],[2,0]] (constructGridLayout 4 [[0,1],[0,2],[1,3],[2,3]])) + +test2 :: Test +test2 = TestCase (assertEqual "for (constructGridLayout 5 [[0,1],[1,3],[2,3],[2,4]])," [[4,2,3,1,0]] (constructGridLayout 5 [[0,1],[1,3],[2,3],[2,4]])) + +test3 :: Test +test3 = TestCase (assertEqual "for (constructGridLayout 9 [[0,1],[0,4],[0,5],[1,7],[2,3],[2,4],[2,5],[3,6],[4,6],[4,7],[6,8],[7,8]])," [[8,6,3],[7,4,2],[1,0,5]] (constructGridLayout 9 [[0,1],[0,4],[0,5],[1,7],[2,3],[2,4],[2,5],[3,6],[4,6],[4,7],[6,8],[7,8]])) + +test4 :: Test +test4 = TestCase (assertEqual "for (constructGridLayout 11591 [[1238, 8537], [4450, 5726], [341, 10241], [4445, 5382], [4722, 7353], [9424, 9768], [2695, 8338], [2242, 7804], [4943, 6009], [2300, 4776], [3354, 6439], [448, 10488], [1725, 7470], [1004, 5458], [4997, 9628], [6882, 11219], [5021, 11153], [3524, 8139], [7163, 11057], [3044, 10720], [1717, 7178], [2039, 2533], [2642, 3735], [3154, 5603], [330, 7742], [743, 3939], [2725, 8873], [1725, 3282], [6991, 8479], [1225, 6342], [860, 1491], [5249, 5661], [1670, 6958], [1593, 5048], [9512, 11412], [8447, 11088], [6, 5551], [2657, 5147], [3777, 5178], [4022, 10644], [2341, 5850], [8662, 9929], [3698, 5070], [10771, 11228], [5332, 7766], [8974, 10955], [7066, 9188], [245, 8169], [5441, 7709], [4224, 7745], [4569, 11163], [4774, 5933], [7184, 8096], [3379, 9612], [6118, 10553], [1881, 7154], [6695, 10564], [3472, 6770], [3589, 7355], [106, 2698], [4889, 6041], [6363, 10734], [1943, 4999], [2529, 11512], [3900, 8910], [5015, 7843], [3205, 7365], [629, 8108], [3949, 8048], [3054, 4163], [6158, 6545], [1374, 5229], [832, 11096], [149, 1240], [1683, 6738], [680, 876], [1853, 3951], [2599, 5461], [5967, 9579], [577, 1128], [6710, 7408], [2510, 6143], [8958, 11495], [4588, 11539], [10997, 11301], [10596, 10957], [5080, 5585], [2350, 11523], [3797, 7253], [6921, 8759], [4829, 5185], [1971, 2078], [2181, 3608], [5646, 7659], [135, 379], [4737, 5596], [2808, 3706], [5925, 10457], [8342, 8903], [365, 1780], [1553, 6641], [8614, 10530], [4682, 7767], [573, 5866], [294, 6451], [4502, 8331], [1947, 6945], [1513, 10625], [3565, 10636], [328, 8664], [1901, 3567], [7492, 10022], [539, 9638], [1198, 2104], [5118, 10899], [354, 436], [6670, 10587], [1912, 10492], [599, 4404], [6595, 7969], [2987, 4364], [2997, 5052], [5414, 10668], [438, 2766], [99, 3300], [1372, 9989], [1365, 8818], [4236, 9878], [6474, 6861], [9027, 11584], [3578, 8188], [9457, 11168], [1761, 5785], [8589, 11358], [6280, 9247], [5494, 9092], [1237, 10703], [1832, 7880], [6550, 10828], [203, 6282], [387, 1673], [5175, 10278], [6207, 8210], [3375, 4072], [5923, 8451], [4739, 6715], [704, 7207], [5802, 10376], [4432, 9416], [6550, 7795], [2346, 9040], [4265, 4580], [999, 4122], [937, 3244], [73, 924], [10525, 10635], [5456, 5952], [91, 749], [4136, 5109], [1069, 8244], [589, 5163], [26, 10153], [3265, 11417], [5975, 8210], [6940, 10582], [1990, 8065], [1491, 6432], [1897, 5622], [4378, 8025], [1093, 3353], [2853, 10914], [921, 4589], [7148, 8252], [3447, 7866], [28, 7166], [2860, 4134], [6215, 8047], [1428, 9466], [10946, 11200], [5246, 8185], [5251, 8529], [5143, 9935], [1751, 4642], [1405, 10421], [1535, 9713], [9470, 10194], [633, 11073], [4931, 9463], [3241, 9087], [1058, 3897], [6968, 8442], [1037, 9436], [90, 6889], [1308, 7455], [3918, 6296], [3833, 10130], [1987, 9995], [4537, 8031], [318, 2552], [4545, 6394], [87, 175], [3132, 4606], [1544, 3009], [4071, 6511], [8044, 8551], [0, 930], [6957, 10131], [8103, 9131], [2196, 4103], [4658, 7210], [8071, 10347], [9643, 11411], [5173, 7841], [2101, 4216], [757, 9395], [2746, 4920], [330, 2912], [8038, 11338], [5196, 6512], [5481, 9125], [30, 9066], [2433, 3642], [4797, 5460], [659, 5073], [7159, 11369], [10459, 10657], [5044, 6091], [7012, 7155], [1742, 5222], [288, 6823], [625, 9626], [1233, 1403], [281, 9816], [7526, 9096], [8374, 10883], [3300, 6610], [2734, 3755], [9588, 10549], [2849, 8431], [1425, 11372], [5372, 8027], [552, 11218], [3700, 6702], [1607, 9319], [506, 7840], [473, 5448], [49, 3400], [2031, 8334], [7913, 11585], [3426, 3874], [537, 6372], [3215, 9289], [1431, 3616], [7043, 9450], [7313, 11031], [2803, 8032], [695, 10341], [10141, 11263], [3895, 6015], [373, 7846], [1434, 10680], [1890, 11485], [9357, 10400], [2242, 9658], [3820, 4151], [4379, 5835], [7276, 8116], [932, 6497], [4168, 11250], [4133, 5779], [4370, 11384], [2128, 10495], [7206, 9225], [3412, 9402], [2813, 8319], [972, 7774], [970, 11111], [8005, 10369], [1040, 6188], [8010, 10713], [6291, 9599], [1602, 11553], [9129, 10519], [4888, 7001], [4275, 8464], [37, 4463], [570, 11342], [1083, 5511], [1334, 9294], [3108, 7863], [10836, 11249], [1519, 8293], [22, 6060], [2869, 4814], [3636, 7201], [3476, 9952], [5666, 9897], [396, 1548], [5939, 8743], [6801, 10236], [5403, 7982], [4587, 9116], [4750, 10046], [5751, 8665], [3946, 8531], [4030, 6724], [301, 11460], [7455, 9124], [228, 3253], [8624, 11299], [135, 810], [2588, 8335], [1165, 4331], [63, 11295], [3396, 4307], [379, 6805], [1329, 8145], [1812, 11497], [1218, 10758], [5237, 9733], [616, 5994], [1017, 6338], [7249, 11099], [5250, 7716], [1168, 9890], [10264, 10403], [4531, 7248], [9294, 11070], [5987, 10611], [2406, 11081], [5326, 8650], [2753, 5904], [4618, 6843], [2006, 4923], [5708, 8163], [932, 6765], [5911, 8522], [5945, 7352], [962, 2443], [1027, 3592], [7912, 8945], [9935, 11224], [6685, 10545], [5564, 11043], [2293, 6077], [1013, 8797], [2487, 7074], [5773, 8184], [9206, 11199], [176, 7519], [3882, 5997], [4467, 8902], [3565, 3846], [1605, 6807], [388, 9095], [8913, 10573], [5986, 9581], [948, 7217], [1905, 3312], [1722, 4359], [2739, 2757], [3621, 10544], [3366, 9271], [878, 9861], [9902, 11060], [4711, 5448], [4420, 8682], [9117, 10753], [86, 4219], [7816, 8432], [5631, 8077], [7434, 8138], [8554, 11579], [1519, 2495], [2463, 4744], [844, 3080], [1269, 2320], [4758, 8677], [8247, 10870], [5759, 6542], [4078, 8918], [4699, 11480], [1796, 10882], [9027, 11210], [1052, 7166], [3973, 7589], [790, 8886], [5026, 6398], [2908, 8019], [4188, 5299], [10349, 11375], [2761, 10975], [1765, 6284], [1538, 7059], [3095, 3681], [4471, 5587], [6962, 8678], [5653, 6496], [3414, 9288], [4959, 8559], [3066, 5572], [6698, 10325], [2477, 8183], [5856, 9484], [7065, 8806], [1284, 9744], [2903, 7244], [6222, 10746], [740, 1952], [7159, 9572], [275, 6319], [10799, 11180], [5078, 9540], [2986, 5966], [5288, 11070], [1680, 6711], [6279, 8247], [5379, 6270], [312, 3168], [6309, 10341], [3480, 9884], [512, 2475], [4570, 11204], [6189, 8704], [3262, 7712], [7173, 8874], [1970, 8917], [304, 5155], [3193, 3411], [6954, 8012], [5175, 9099], [3380, 9653], [3060, 10237], [3939, 11337], [3626, 6676], [3055, 3477], [1594, 3153], [10007, 10806], [1810, 7881], [6445, 9074], [1410, 3975], [6043, 10757], [4883, 5665], [10112, 10226], [4355, 8929], [5074, 7862], [626, 6495], [192, 10175], [3200, 3427], [242, 9538], [8461, 9778], [9765, 10118], [1728, 5196], [2359, 8446], [5096, 7062], [7618, 9466], [2415, 9509], [7233, 8874], [3074, 7610], [319, 5412], [415, 5120], [2839, 7743], [6479, 7099], [2535, 3545], [2902, 8442], [474, 9083], [469, 2323], [7003, 9701], [6998, 9357], [4792, 8125], [559, 10884], [3174, 3653], [8671, 10503], [5911, 8685], [4166, 8602], [3192, 8396], [7268, 7905], [1972, 11167], [358, 9847], [11311, 11438], [299, 6234], [6744, 7905], [4593, 7134], [820, 5182], [3775, 7441], [2849, 8407], [4237, 9192], [1103, 11105], [4553, 4702], [2751, 4085], [1650, 4858], [5016, 5897], [6824, 9712], [6750, 11483], [5048, 8064], [8969, 10668], [552, 9689], [1087, 6815], [8272, 8296], [6255, 10723], [2057, 3115], [3741, 11590], [7375, 10754], [4610, 7838], [3794, 8972], [3137, 3747], [4165, 4189], [1538, 3489], [3574, 3721], [9725, 11361], [859, 7338], [3792, 5112], [1452, 7852], [5113, 8839], [3633, 4301], [2716, 11045], [1095, 6302], [7323, 10190], [8818, 9344], [2, 4684], [9315, 10150], [1908, 5624], [1252, 10423], [436, 10803], [3027, 5430], [1028, 2047], [3142, 3690], [1216, 11143], [7477, 11007], [4542, 5990], [3981, 7643], [8246, 9303], [691, 2627], [71, 9335], [3698, 10738], [2710, 6662], [6287, 8702], [5043, 6915], [3517, 6196], [5320, 5503], [5543, 11402], [2618, 7073], [6751, 7116], [9340, 11496], [3425, 8859], [4567, 10369], [3132, 4850], [2980, 5210], [2820, 7961], [2577, 10455], [1639, 9906], [1830, 7222], [3354, 7114], [1169, 7513], [2069, 2320], [2571, 3470], [4159, 5821], [1100, 2458], [6332, 8071], [9477, 10454], [2562, 6390], [2283, 6975], [3747, 4564], [1042, 8869], [6243, 8753], [7260, 11315], [6117, 10334], [2256, 5529], [6824, 7752], [1103, 6112], [6700, 10160], [9093, 10464], [4769, 6689], [4589, 11417], [969, 6297], [6916, 7691], [474, 9701], [2432, 10831], [4426, 7454], [6327, 7296], [364, 5399], [5193, 9087], [5373, 7742], [4036, 9928], [3079, 5165], [245, 6616], [4665, 6689], [5463, 7635], [1695, 2617], [10514, 10958], [4936, 11124], [886, 10584], [7859, 8210], [8173, 10063], [2765, 5914], [1845, 2561], [6022, 8538], [8386, 11110], [2820, 10539], [3291, 5206], [762, 5795], [450, 10404], [4237, 9810], [6394, 8117], [2590, 3846], [413, 4106], [2302, 7351], [8092, 10259], [6325, 6445], [160, 7797], [4476, 6012], [8058, 8396], [1280, 10457], [4632, 10689], [4977, 6937], [3033, 4015], [3015, 9071], [5025, 10391], [1692, 7957], [1203, 7766], [9262, 10003], [1111, 1761], [2477, 5231], [5876, 8662], [2103, 6710], [8662, 9449], [1747, 5385], [3935, 8667], [5485, 8282], [3069, 6274], [10132, 10990], [4177, 8954], [5018, 9570], [1007, 10456], [787, 5986], [4087, 6028], [1351, 1598], [9434, 11399], [4272, 11443], [4241, 9878], [4580, 9344], [2801, 10431], [5703, 6640], [588, 1612], [335, 1166], [7261, 10280], [8596, 11431], [2584, 8861], [5233, 6876], [3294, 4298], [3981, 8611], [5092, 10808], [6212, 10839], [8829, 10851], [4525, 7728], [762, 7218], [2935, 5304], [519, 7460], [357, 9384], [1262, 5289], [2915, 8035], [10007, 11237], [255, 4943], [3936, 5054], [2771, 7532], [5145, 10038], [3925, 6393], [10368, 11401], [4394, 9315], [8377, 8633], [6295, 9911], [1436, 9010], [1715, 2009], [5660, 9171], [2080, 6079], [834, 7629], [5900, 11260], [5587, 6599], [4418, 10059], [2580, 7533], [765, 6711], [5928, 10275], [3839, 10382], [7056, 7915], [11154, 11155], [2469, 3006], [884, 7342], [1066, 6824], [2967, 7420], [1346, 9093], [7447, 10954], [7385, 10076], [845, 11551], [5024, 7775], [1910, 4705], [9320, 9502], [6075, 9921], [3243, 5783], [316, 11207], [2527, 6367], [2470, 9997], [7723, 10071], [34, 1695], [438, 6474], [5794, 7427], [195, 6716], [1876, 9258], [3118, 3802], [351, 7229], [7599, 10944], [687, 10561], [1150, 5367], [968, 10022], [2026, 8421], [1140, 3898], [2611, 2658], [484, 8697], [7903, 9076], [822, 8692], [6496, 8988], [8170, 9605], [1575, 7209], [4756, 9249], [1791, 5521], [7363, 7792], [1346, 8288], [2220, 4880], [7414, 7757], [3121, 4049], [6789, 7705], [4387, 9567], [4829, 10666], [2112, 7040], [2177, 5183], [3302, 5558], [5480, 8906], [4055, 10491], [2902, 8068], [22, 6922], [1178, 2446], [4727, 9608], [61, 434], [298, 6039], [6593, 11149], [5003, 7971], [4683, 6303], [4008, 6888], [4634, 9794], [1700, 8385], [4965, 8618], [3752, 6144], [1324, 9037], [605, 2934], [1010, 10567], [6423, 8644], [2510, 4403], [1414, 2514], [3427, 9767], [4712, 5139], [104, 8775], [8598, 10940], [1407, 11142], [6699, 10390], [37, 4520], [8899, 11053], [1401, 4157], [1862, 5306], [745, 2540], [2742, 10014], [2386, 7935], [8153, 10674], [3170, 8017], [2979, 9203], [3947, 4676], [76, 6353], [2481, 4008], [3047, 6863], [9580, 11387], [7364, 9467], [8246, 10084], [2726, 7976], [463, 6210], [70, 5757], [4244, 5801], [7545, 7943], [255, 4756], [1664, 2638], [731, 4685], [2226, 3839], [1907, 11441], [653, 8966], [5513, 8557], [1411, 7827], [10652, 10973], [5989, 8486], [7840, 8241], [7499, 7948], [2547, 11020], [503, 2202], [840, 8011], [5344, 9687], [3539, 9553], [361, 4778], [9175, 9365], [842, 11467], [3906, 8034], [1726, 2361], [1178, 4219], [5161, 7701], [5593, 7358], [6393, 7973], [858, 2551], [6991, 9585], [3603, 7444], [5456, 10278], [857, 3080], [1820, 11041], [1256, 2597], [1192, 11472], [571, 8910], [3184, 5016], [4553, 5751], [4678, 4699], [5887, 9683], [4982, 7362], [3492, 6300], [1532, 11513], [4737, 5279], [5203, 6772], [530, 2843], [4571, 9713], [10802, 10866], [207, 6539], [4231, 10022], [1795, 2474], [4222, 8778], [173, 11092], [1207, 5687], [4531, 9533], [8483, 11450], [9293, 9747], [1115, 6098], [4594, 7603], [1669, 7438], [1542, 5411], [8926, 8987], [7329, 11054], [4409, 11233], [856, 919], [7328, 11583], [9826, 10183], [4618, 9128], [922, 2670], [4024, 8389], [5230, 7440], [5171, 10243], [1377, 9666], [7760, 8207], [167, 6709], [8566, 10522], [6885, 7980], [2623, 5083], [9798, 10794], [3338, 11444], [537, 9625], [3775, 8035], [3727, 11027], [1089, 3722], [6808, 8699], [9956, 10599], [8281, 9757], [1492, 1860], [4568, 8610], [2978, 5432], [1866, 10180], [982, 2320], [235, 11165], [333, 1874], [8832, 10799], [2946, 4396], [2532, 8728], [3657, 9103], [14, 27], [7015, 9500], [1153, 9907], [9002, 9116], [2118, 10027], [3645, 7938], [6250, 6435], [5859, 6779], [5921, 7657], [1050, 2989], [9461, 9815], [5316, 8257], [2054, 8672], [3658, 4386], [7544, 7935], [1546, 7707], [6186, 9244], [145, 1018], [1072, 7824], [6366, 7899], [2914, 4053], [1539, 9919], [3994, 11101], [8471, 10954], [6270, 10820], [2724, 8093], [1530, 2636], [3918, 9012], [1306, 2928], [6467, 9829], [2578, 10146], [6000, 11117], [1065, 10386], [3302, 3761], [1244, 5433], [4764, 6939], [2758, 8801], [642, 669], [1760, 4037], [1398, 9283], [2040, 6306], [6675, 7499], [2514, 5408], [4123, 6384], [1452, 9519], [6684, 8716], [1541, 8810], [77, 1799], [3191, 4869], [2069, 8175], [395, 1142], [4094, 7494], [5923, 6524], [8968, 10955], [5642, 6282], [8439, 11365], [8139, 11073], [963, 2538], [1473, 7713], [4424, 6847], [243, 9796], [465, 1507], [4141, 9942], [2460, 8154], [3045, 8807], [1434, 11168], [6061, 8336], [4168, 8355], [2898, 5347], [3940, 8905], [1230, 6450], [1147, 11111], [2167, 7528], [5118, 6662], [7123, 10991], [425, 4710], [3749, 9310], [1784, 11173], [3816, 4116], [3462, 9253], [7641, 9641], [1348, 10993], [2470, 5435], [6288, 6406], [8354, 8759], [1809, 9890], [8161, 9118], [3491, 11122], [1132, 3232], [72, 7416], [158, 9442], [5638, 7987], [3953, 6457], [375, 10608], [6559, 7808], [2928, 8915], [2119, 11220], [6126, 7926], [9149, 9380], [9794, 10084], [4064, 10610], [1237, 6816], [3726, 7582], [4075, 7736], [3354, 7976], [8884, 10802], [78, 6830], [7304, 9066], [7731, 8379], [1041, 6123], [7673, 8374], [2351, 6251], [2685, 5373], [7167, 9734], [658, 6358], [642, 5825], [1846, 10465], [3778, 10374], [4342, 5986], [2683, 5677], [2089, 11354], [2624, 8480], [3730, 3917], [5737, 11325], [7845, 9016], [4161, 6355], [2, 5091], [8933, 10263], [3554, 11016], [5072, 5458], [8396, 10058], [9526, 10777], [8719, 8991], [4564, 6745], [3942, 10374], [4845, 10370], [3749, 4317], [3098, 9460], [59, 8227], [9828, 11492], [1972, 9614], [4771, 10606], [3215, 7012], [1345, 2319], [8380, 11403], [2315, 2783], [7271, 9252], [2056, 11190], [132, 9644], [5448, 7034], [3982, 6366], [6162, 6377], [895, 1709], [4948, 5930], [2893, 11283], [467, 8587], [6845, 9036], [4018, 5242], [6217, 9467], [7347, 7934], [5690, 9950], [1710, 10903], [2949, 5930], [4819, 7213], [430, 3043], [6407, 6558], [1426, 4728], [1732, 1802], [837, 4333], [10205, 10260], [8085, 10300], [5783, 10114], [3904, 6833], [2192, 2726], [762, 8885], [3694, 3805], [4624, 7122], [1945, 6232], [6177, 6254], [3811, 7773], [1352, 9101], [7391, 9330], [8177, 10239], [1453, 9153], [318, 3926], [3721, 4847], [9440, 10578], [1878, 1977], [6547, 8416], [1475, 4970], [2645, 4364], [9038, 10009], [3778, 8764], [2035, 9508], [3095, 5324], [5854, 7671], [3961, 11100], [4022, 8343], [6350, 8252], [3614, 10992], [9612, 11220], [5407, 9611], [6786, 11034], [9513, 10460], [1141, 1310], [1639, 11386], [2860, 11469], [3574, 10812], [1231, 3455], [6838, 8191], [2104, 6238], [1173, 2696], [4930, 9807], [2471, 11135], [1822, 10689], [1447, 5150], [227, 1505], [3838, 4627], [6945, 10690], [3846, 9406], [1132, 9461], [2940, 6860], [3489, 7856], [1782, 4093], [3580, 7220], [498, 2907], [3540, 4411], [4197, 8882], [3388, 10433], [4291, 6265], [4064, 7040], [3955, 6316], [371, 7269], [1203, 10051], [57, 8799], [6492, 9782], [7658, 10158], [1180, 6095], [7183, 7421], [1046, 3651], [3009, 4371], [3045, 11198], [4726, 8822], [2764, 10956], [1336, 6608], [183, 4185], [4665, 5136], [2702, 3662], [1234, 6331], [3152, 3898], [4177, 11239], [763, 10129], [4596, 9880], [2906, 10258], [1497, 10124], [1512, 11156], [5925, 7806], [2152, 5854], [5980, 7513], [1904, 8004], [2404, 6075], [2999, 3252], [5852, 6015], [2152, 9237], [5882, 7355], [2269, 3406], [7748, 8896], [1091, 9786], [1220, 1306], [2092, 7651], [10511, 10985], [3357, 3899], [10206, 10349], [1185, 2251], [555, 8271], [6312, 10322], [3314, 4202], [7928, 10934], [1920, 5854], [1636, 6095], [149, 4550], [2475, 3632], [8879, 9466], [2683, 4335], [3909, 4762], [9638, 11181], [2808, 3283], [8724, 11026], [5554, 11030], [2586, 7785], [5, 7430], [3766, 7867], [11152, 11516], [2558, 5737], [2401, 8005], [2621, 3807], [2589, 4269], [9120, 11376], [1126, 7282], [5358, 7304], [10518, 11351], [3887, 6292], [3830, 5758], [3983, 6754], [9294, 10216], [2117, 8596], [4259, 5117], [3352, 6133], [1136, 7219], [1511, 6342], [965, 9027], [7978, 9492], [8352, 11396], [8190, 11068], [10658, 10957], [6458, 9692], [1105, 5250], [668, 5249], [126, 4700], [1000, 1292], [2345, 3885], [8716, 9579], [5329, 11046], [1993, 2679], [1922, 10383], [4043, 9033], [3802, 10102], [7024, 10261], [2325, 11527], [835, 5547], [6158, 11278], [10671, 10788], [6738, 7423], [4327, 5759], [5246, 5534], [4075, 8167], [610, 7122], [1171, 2463], [6124, 9415], [4560, 7458], [3324, 9696], [6524, 9534], [2068, 4142], [3444, 8300], [2813, 5050], [7114, 7121], [4275, 8228], [789, 5552], [1596, 5086], [2962, 8556], [1203, 4603], [410, 6687], [2815, 4342], [2624, 5528], [3126, 6678], [7109, 9406], [3155, 11580], [7766, 8215], [1469, 8694], [7487, 8800], [6489, 10452], [9557, 10171], [1314, 5373], [263, 3227], [3340, 10579], [726, 1416], [2115, 3557], [3727, 4050], [4850, 7762], [6410, 7311], [342, 11225], [4322, 4610], [1013, 7488], [4469, 7289], [3044, 6622], [2473, 7587], [766, 10240], [4465, 7547], [855, 9531], [5583, 6751], [41, 6574], [3654, 4861], [173, 6693], [1164, 3870], [5209, 8230], [3994, 11345], [797, 2356], [5797, 8400], [6702, 7311], [2130, 9850], [3596, 4102], [6972, 8892], [950, 9768], [4250, 9056], [2617, 3552], [6204, 6280], [4676, 4734], [4516, 7485], [3683, 6730], [3841, 8070], [1036, 8007], [4608, 9703], [5723, 9390], [444, 8095], [5919, 7050], [2428, 4030], [719, 4358], [4571, 10575], [3327, 8788], [3053, 3301], [4018, 5673], [2420, 3388], [5635, 10674], [8209, 9858], [6091, 11479], [1433, 8582], [895, 5523], [1122, 4748], [4046, 11104], [2735, 8095], [5493, 6834], [155, 10594], [1824, 5205], [2106, 8301], [4186, 10360], [5461, 8050], [10452, 10568], [1303, 9640], [7790, 10813], [3839, 10252], [8264, 9915], [2975, 7932], [5115, 10796], [6421, 7045], [3752, 11007], [6484, 11531], [8414, 9859], [358, 11303], [4807, 9108], [2242, 3624], [2028, 8768], [8101, 8581], [5787, 6126], [3617, 7557], [4176, 9241], [4362, 6213], [95, 2972], [35, 2921], [1055, 11416], [1781, 5858], [7780, 9694], [4234, 6967], [2582, 7075], [839, 3655], [335, 5842], [250, 4014], [120, 1689], [7425, 8190], [5534, 6030], [9259, 10974], [2666, 2989], [9145, 9906], [11160, 11570], [5525, 11202], [1540, 11057], [2672, 6187], [2644, 10555], [2820, 6839], [8324, 9942], [5686, 9807], [6574, 10269], [801, 1269], [4925, 9894], [5274, 10802], [2991, 7660], [1232, 10123], [10222, 10240], [5201, 9011], [2586, 3410], [176, 11016], [1169, 9774], [7289, 8679], [4149, 7394], [997, 3840], [1435, 7449], [5474, 7076], [2205, 2937], [811, 7999], [3139, 3744], [5950, 7005], [3264, 9108], [3050, 8590], [309, 9451], [4786, 10058], [5271, 6343], [326, 760], [1366, 9133], [2595, 3472], [1194, 3199], [4805, 4823], [2974, 9884], [1076, 8805], [822, 11140], [5490, 8309], [5299, 10993], [1913, 6269], [6331, 8925], [3963, 9617], [9663, 11134], [2499, 3360], [9658, 10790], [866, 4272], [2004, 9016], [273, 6387], [1215, 7809], [2299, 5931], [4258, 9915], [3848, 5321], [49, 4400], [7280, 11144], [3006, 6732], [6743, 6775], [929, 1938], [4461, 6487], [2456, 6265], [887, 1712], [389, 3687], [13, 10755], [6243, 9054], [9815, 10750], [7795, 8742], [8080, 11355], [8753, 10697], [1184, 5089], [5953, 8726], [474, 6619], [6449, 10061], [8751, 11001], [2304, 8503], [5568, 5882], [898, 1470], [1465, 7179], [7155, 8008], [1401, 9638], [11193, 11197], [5100, 6945], [6631, 8762], [8737, 9790], [10364, 11315], [6128, 7387], [4634, 4671], [2879, 10316], [4102, 5564], [1447, 9232], [4468, 9105], [2226, 8970], [3043, 9192], [2415, 9623], [2136, 10208], [9288, 9297], [7168, 7839], [2003, 4202], [2498, 8345], [6604, 9194], [3090, 5224], [8535, 11130], [8788, 9324], [2220, 8751], [2246, 3556], [1993, 9526], [1112, 5347], [2483, 2745], [2713, 5651], [7224, 11504], [4726, 6488], [7532, 9405], [3924, 5800], [3425, 4167], [376, 2246], [1031, 3638], [1234, 3997], [5652, 6653], [3105, 5882], [6859, 9312], [5687, 9091], [5274, 7232], [2199, 9752], [1853, 2699], [6426, 9430], [1081, 9767], [410, 7118], [7581, 9647], [8690, 11017], [1159, 8145], [1441, 7077], [4237, 9306], [6857, 8835], [4431, 6139], [1067, 8556], [7564, 11171], [389, 5460], [1275, 2843], [4671, 9009], [4304, 7495], [5730, 11016], [8285, 10150], [1556, 8720], [2365, 4163], [8935, 11198], [5110, 9056], [1368, 9423], [2648, 6703], [7524, 10991], [5046, 11515], [6655, 8327], [3570, 5995], [4571, 8778], [834, 5702], [1333, 7335], [3322, 3614], [1481, 3069], [8382, 9709], [2317, 3341], [4377, 8131], [6087, 9159], [323, 10101], [2537, 8942], [944, 2837], [2038, 7309], [3411, 5534], [608, 7052], [10159, 11178], [8450, 11506], [4718, 5391], [224, 10095], [6201, 9446], [3030, 5842], [6977, 9667], [5182, 10221], [11374, 11446], [3838, 4066], [3678, 6817], [4667, 7331], [6601, 7286], [5570, 6546], [2399, 2942], [5317, 6100], [1831, 3424], [5936, 7835], [5000, 10365], [10111, 11487], [3012, 4862], [1487, 2833], [368, 5656], [6027, 11336], [6778, 9026], [6357, 6552], [2659, 6437], [6764, 10848], [1607, 10482], [3130, 5268], [2321, 9825], [1724, 5405], [576, 9742], [9566, 9859], [5992, 11500], [2933, 8137], [7263, 8694], [539, 4198], [4126, 6926], [5736, 10756], [8687, 9890], [7726, 9889], [5355, 11064], [5814, 9134], [5232, 5746], [2527, 3635], [1615, 4307], [4662, 9565], [6511, 9971], [5041, 5397], [4002, 4796], [3913, 11140], [3844, 6839], [4059, 4549], [9322, 9475], [4803, 5232], [3065, 6320], [852, 11087], [4281, 6059], [8904, 9901], [8009, 8268], [1851, 3621], [7979, 10311], [1620, 3496], [6036, 9489], [1024, 6094], [2627, 9477], [5325, 10417], [4482, 6722], [122, 7454], [3865, 11449], [4137, 9693], [938, 10457], [1590, 8168], [563, 4918], [1127, 6946], [318, 10749], [3038, 7506], [3630, 5166], [933, 7080], [3763, 10391], [458, 3589], [1705, 9811], [3102, 8430], [4043, 6244], [1698, 2224], [992, 7660], [7934, 10137], [8613, 9671], [1352, 4970], [9323, 11524], [5992, 6507], [572, 7259], [4307, 10639], [411, 3369], [2780, 6285], [3812, 9879], [1716, 8815], [4116, 11044], [4427, 8462], [4957, 5244], [3025, 3083], [7324, 10743], [7871, 10912], [10087, 10580], [4049, 6035], [928, 8964], [5816, 9849], [3178, 9714], [1268, 11284], [1638, 4401], [299, 5006], [7592, 8464], [1799, 5258], [1833, 10504], [556, 6325], [1609, 8544], [2137, 4499], [3439, 10428], [6111, 10147], [669, 752], [3072, 8914], [2420, 4787], [6860, 11174], [4532, 9013], [10139, 10339], [2223, 7656], [5712, 9849], [5216, 5481], [2031, 10115], [3870, 9833], [2163, 6070], [1853, 5090], [1277, 11346], [1024, 4484], [2773, 7692], [4891, 10235], [3945, 7913], [3867, 6502], [784, 4997], [5939, 7946], [2029, 10392], [1766, 5094], [1991, 7656], [1562, 10926], [7813, 10102], [55, 8005], [1460, 4233], [300, 1393], [5336, 6313], [6619, 8028], [819, 9313], [3868, 8982], [4991, 8530], [1536, 11583], [2248, 7847], [99, 3739], [6234, 10846], [2810, 9048], [494, 4268], [564, 5007], [696, 11542], [5292, 6391], [1842, 6378], [6630, 7813], [9931, 10709], [251, 10145], [1736, 8611], [5638, 6247], [5848, 7777], [2579, 3638], [965, 2318], [9144, 10329], [2800, 8710], [2743, 8176], [3163, 6318], [3192, 5558], [1075, 10033], [491, 3566], [4524, 6411], [4224, 6119], [2254, 10644], [1108, 9392], [5679, 8880], [142, 9047], [3031, 7303], [954, 8925], [4430, 5995], [5368, 7675], [289, 9474], [796, 10968], [1560, 9674], [5307, 10405], [6330, 10503], [7078, 7922], [2926, 2941], [7812, 7917], [5298, 9538], [95, 2411], [4356, 7335], [6228, 6439], [1249, 11071], [5726, 10924], [2509, 6975], [2460, 11220], [1056, 11430], [3671, 10615], [7964, 11290], [3467, 10061], [4463, 7582], [224, 727], [3840, 8357], [1541, 7688], [4034, 5190], [820, 11338], [1386, 10029], [2217, 3541], [4462, 8111], [229, 10870], [662, 6965], [2783, 9779], [1350, 5087], [3686, 11273], [1100, 10574], [7507, 9509], [7629, 11192], [690, 5980], [1120, 5564], [3642, 4558], [963, 7832], [8194, 9658], [813, 10517], [7723, 8575], [9089, 11291], [1709, 2926], [3274, 9235], [2806, 7669], [5127, 6407], [4750, 9867], [1546, 11041], [3134, 6222], [6905, 11511], [2447, 5292], [6440, 9462], [1643, 7941], [1571, 5621], [6956, 8066], [5526, 7055], [6210, 9939], [6709, 11572], [577, 1730], [1542, 4102], [583, 11344], [5462, 8733], [950, 9825], [1005, 9532], [1375, 1895], [5172, 9159], [3090, 6273], [4301, 5668], [3389, 6340], [10993, 11380], [1652, 10282], [6162, 6865], [1282, 5087], [1925, 5718], [7623, 9818], [6446, 9253], [3607, 4698], [2764, 3255], [2519, 6834], [2918, 7105], [7630, 10208], [4223, 10299], [3036, 4882], [8400, 9860], [14, 4784], [5273, 8056], [1075, 1202], [4428, 9950], [1881, 2763], [1137, 5463], [2852, 9087], [5648, 11316], [2246, 6833], [5050, 6671], [6796, 9608], [5053, 6188], [373, 5252], [1744, 9066], [2152, 4919], [814, 9132], [4761, 5787], [5727, 9515], [1238, 1731], [3737, 9601], [0, 3142], [2020, 5150], [337, 5945], [261, 473], [7929, 10224], [5121, 10644], [6236, 10331], [7516, 7611], [7086, 8781], [184, 9086], [1331, 10940], [5558, 10618], [7490, 9773], [1671, 6844], [6578, 10445], [3596, 5582], [10430, 11000], [2589, 9400], [3709, 7179], [6854, 9562], [5238, 11579], [3521, 3718], [1621, 10140], [504, 10380], [4619, 9063], [5221, 6687], [7564, 8382], [1091, 4663], [5504, 9227], [466, 11027], [4728, 6754], [1393, 4247], [308, 6654], [3381, 6717], [736, 3159], [3382, 3909], [121, 10211], [2783, 2826], [537, 5201], [5963, 7647], [8105, 10584], [1042, 10032], [139, 2122], [2004, 2307], [261, 3051], [5482, 10003], [1442, 10905], [3617, 5654], [5891, 8710], [654, 2753], [4867, 9141], [5610, 6970], [1995, 7856], [4295, 5717], [1616, 4827], [788, 9334], [28, 3230], [410, 3524], [714, 6187], [9843, 9846], [5077, 9136], [68, 10176], [9402, 10103], [1623, 9381], [4414, 7102], [334, 10103], [2109, 11526], [2699, 6107], [8203, 9964], [2298, 5763], [7993, 9188], [5647, 11359], [7374, 10082], [2378, 7220], [3253, 6666], [1766, 5875], [1009, 9868], [1408, 7133], [2383, 10947], [1977, 10259], [3157, 10341], [39, 9781], [7795, 8799], [1224, 10961], [7850, 8506], [2497, 4818], [1709, 8000], [1755, 8345], [6519, 7474], [4306, 5825], [104, 7897], [4056, 9060], [2717, 10419], [1783, 3196], [1067, 7190], [1564, 7996], [3174, 7662], [1555, 3746], [2365, 2797], [4390, 5149], [1623, 8576], [7008, 11021], [1857, 4084], [1179, 5152], [4076, 9685], [7591, 10847], [2801, 6333], [7904, 9092], [578, 9658], [361, 11121], [6715, 7012], [7935, 10657], [4533, 11092], [7158, 10965], [10546, 10854], [1759, 11096], [1361, 10269], [2378, 6415], [299, 7210], [4652, 5307], [8571, 11248], [4190, 11103], [3725, 9054], [4778, 7109], [754, 1374], [4556, 8982], [1287, 8253], [941, 1200], [1961, 4033], [3275, 11477], [2898, 11527], [9195, 10294], [4176, 5728], [3620, 7725], [2221, 9033], [2405, 4424], [9182, 9308], [99, 6748], [6788, 8779], [5606, 7870], [9363, 10817], [2401, 11071], [710, 1425], [2131, 2350], [122, 8048], [893, 3761], [1323, 9761], [4186, 6042], [736, 10193], [11449, 11543], [420, 10896], [3565, 6863], [731, 9068], [5435, 5894], [11118, 11214], [1362, 5902], [5400, 9091], [3459, 9096], [3185, 4363], [4864, 6078], [9292, 9422], [6293, 6864], [6697, 10889], [4209, 7315], [508, 6929], [8849, 8852], [900, 3777], [65, 6359], [4382, 8963], [10493, 11512], [2921, 8639], [5178, 10560], [8124, 9350], [3955, 9650], [8929, 10309], [3077, 9152], [2368, 4491], [7185, 10828], [3303, 8152], [6448, 10535], [3164, 5364], [1362, 11163], [744, 10030], [925, 1740], [9859, 10593], [5437, 10447], [3164, 8747], [3410, 5770], [1140, 9249], [3072, 9158], [5185, 7193], [1195, 6704], [7609, 9816], [6210, 10370], [8199, 10813], [9658, 10310], [1977, 10877], [5430, 11161], [4714, 10991], [1319, 8433], [1324, 8777], [127, 420], [2526, 10338], [1812, 5333], [7574, 7728], [2773, 10969], [4588, 9539], [5111, 11566], [2685, 8870], [4392, 5463], [2801, 9984], [1524, 5051], [4846, 6572], [3133, 9410], [3081, 9220], [3640, 10904], [4941, 6809], [3999, 4606], [555, 5539], [1042, 5657], [9634, 10609], [7428, 10131], [6802, 10608], [7079, 9196], [5768, 9597], [419, 3399], [8469, 10808], [7657, 8678], [4424, 10612], [7070, 11362], [8732, 9690], [3771, 8512], [122, 1900], [1164, 6936], [5887, 10228], [4736, 5222], [9476, 10373], [2936, 5432], [4106, 8990], [7600, 11527], [6165, 10172], [3894, 4381], [2020, 8614], [2873, 10745], [9580, 9972], [996, 8291], [1462, 9784], [2211, 5176], [7186, 9443], [461, 2470], [6715, 6825], [5056, 6516], [4852, 5932], [955, 8640], [296, 3342], [4910, 10074], [4895, 9042], [6088, 7077], [8357, 9789], [1810, 10093], [9253, 10866], [5557, 10824], [163, 7135], [3896, 9688], [2924, 3139], [5009, 6296], [5019, 6984], [7531, 9454], [4549, 8755], [1522, 4149], [2862, 5644], [1618, 3857], [7758, 11308], [716, 5217], [4260, 7871], [2270, 11367], [6998, 9341], [5974, 9018], [2235, 6650], [7737, 9680], [2456, 7558], [2597, 6285], [2256, 10156], [6868, 10399], [6116, 8320], [9256, 10359], [3368, 9545], [1014, 8415], [4608, 7426], [7326, 8244], [5366, 7041], [6448, 9998], [4705, 10742], [6195, 10306], [63, 2716], [9023, 10538], [5814, 10614], [9179, 10297], [2431, 4653], [7059, 8839], [4612, 5266], [4176, 8119], [1179, 6388], [7565, 10862], [5574, 7340], [1761, 8241], [1854, 5022], [6336, 9383], [4252, 9834], [637, 11474], [114, 3031], [707, 3545], [2477, 7630], [7422, 7551], [2876, 11311], [7306, 9820], [4472, 11271], [10540, 10740], [1758, 11326], [6178, 8393], [944, 9123], [3466, 11527], [2315, 9931], [3153, 6866], [128, 9503], [3211, 4592], [5733, 6996], [5327, 6308], [4619, 10917], [4834, 6375], [187, 3667], [2275, 3335], [1316, 4915], [3420, 11532], [3630, 6646], [10706, 11567], [247, 685], [30, 7066], [524, 3437], [1022, 7097], [714, 2780], [4919, 5143], [4002, 5471], [951, 8385], [1331, 8606], [23, 2862], [1361, 10700], [8491, 10222], [3658, 4126], [4007, 9198], [5404, 7817], [3074, 11245], [956, 6450], [4381, 11102], [5305, 11221], [3130, 5138], [14, 1995], [1436, 8026], [1472, 7683], [4705, 5749], [8688, 9231], [3593, 10497], [2846, 9516], [4632, 4712], [3869, 8860], [5266, 7479], [371, 5423], [8772, 11561], [4293, 10127], [6292, 11258], [2118, 2546], [4578, 11242], [443, 10372], [5106, 7197], [2520, 6498], [2430, 9988], [3289, 5548], [1927, 9367], [280, 5655], [8919, 11207], [3566, 7519], [1577, 4824], [4866, 9615], [2701, 11390], [3339, 5261], [5677, 5858], [4180, 5877], [3865, 10969], [513, 11491], [4434, 6925], [2340, 6688], [8009, 8138], [9344, 10043], [1937, 5517], [6880, 11027], [1283, 4727], [283, 4798], [1434, 4142], [7421, 11351], [5363, 10771], [11020, 11460], [8124, 9781], [3574, 10389], [1554, 1965], [6786, 7578], [9649, 11029], [4066, 4435], [11362, 11574], [1266, 8880], [5730, 8471], [3380, 4107], [978, 5969], [427, 1894], [1041, 3285], [3410, 6201], [1202, 4142], [5677, 8086], [3321, 10293], [365, 10815], [8603, 11105], [921, 2402], [971, 1765], [2595, 3773], [568, 594], [6894, 11433], [2730, 9825], [69, 3125], [225, 3638], [8729, 10655], [2196, 2721], [5577, 7855], [198, 9362], [8914, 9654], [7794, 10377], [7632, 11547], [10252, 11076], [6300, 7661], [5183, 7147], [4019, 10981], [4022, 4082], [1396, 3984], [7280, 8062], [988, 2469], [1459, 8470], [2390, 5596], [1529, 9963], [2238, 8208], [3205, 4991], [8456, 10654], [8678, 9535], [963, 4856], [2487, 8912], [9073, 10064], [678, 4872], [419, 6863], [4376, 11376], [3034, 6048], [5714, 9792], [1698, 11088], [7601, 8046], [4798, 9564], [969, 3516], [194, 11067], [9411, 9655], [810, 9121], [2059, 4836], [3702, 11058], [4571, 7306], [4424, 8010], [8785, 10132], [4894, 9622], [3798, 7733], [3017, 7922], [5596, 7450], [5816, 8914], [2272, 2850], [6724, 11506], [1493, 6495], [433, 7269], [8239, 11312], [586, 7511], [7019, 7667], [5938, 7564], [3598, 10304], [246, 10826], [1762, 10857], [3161, 10303], [3100, 10027], [786, 7572], [4471, 7425], [8382, 8587], [5090, 9160], [1291, 1823], [3058, 3385], [1132, 7428], [2355, 8338], [3969, 9658], [2384, 6824], [3771, 4755], [9008, 10712], [4273, 10069], [1589, 8835], [4868, 7246], [2934, 11428], [4173, 6455], [2471, 3036], [10908, 11083], [3522, 5182], [2457, 4858], [1650, 6078], [3437, 9016], [409, 1556], [6823, 8078], [8836, 8915], [6857, 6908], [6650, 9089], [2887, 7825], [1434, 11526], [1584, 8841], [2301, 6947], [959, 8789], [5909, 11306], [2420, 2697], [1356, 5227], [2261, 8302], [6901, 9839], [2976, 9745], [2606, 4550], [5687, 9392], [3073, 6645], [5621, 11024], [1256, 11412], [115, 11258], [3907, 4592], [7451, 10656], [4032, 9202], [5703, 6892], [3184, 7415], [4878, 10162], [3208, 5557], [6024, 9162], [4405, 8252], [9097, 9979], [6915, 9141], [5578, 11327], [1436, 7034], [2310, 3626], [2442, 10161], [2458, 4278], [2777, 5721], [6, 2990], [3330, 7590], [2612, 11511], [1200, 1280], [10055, 11530], [559, 7111], [2644, 3098], [6345, 7648], [646, 9739], [6933, 7818], [5720, 7596], [1088, 3668], [9226, 10924], [5284, 8197], [3190, 10212], [2853, 5157], [392, 11320], [53, 5438], [1331, 6809], [1195, 6948], [5772, 8136], [1169, 5700], [1883, 4289], [3149, 3391], [5142, 11123], [151, 8605], [1408, 8345], [252, 2241], [3046, 10059], [6853, 10841], [525, 10509], [2574, 4587], [4483, 9208], [407, 3283], [1145, 6430], [5076, 9722], [5320, 5918], [2302, 9726], [5323, 9599], [1457, 7456], [3795, 8053], [4653, 9804], [728, 4048], [1786, 3201], [2699, 3131], [6869, 8691], [1816, 5295], [6368, 11149], [7942, 8152], [3341, 6543], [4578, 4907], [3960, 6026], [4077, 6611], [4615, 9670], [2494, 5358], [7571, 9148], [821, 1179], [5361, 11180], [2005, 7796], [4543, 11487], [3734, 8874], [4073, 6842], [6760, 7593], [3577, 8890], [7102, 10740], [127, 6625], [7527, 9980], [4941, 9281], [3829, 9865], [4882, 7920], [1582, 8632], [4445, 5667], [656, 5434], [3395, 6375], [1241, 6087], [8708, 11418], [9427, 10351], [2638, 4706], [1576, 1647], [2327, 9917], [457, 5224], [3846, 10219], [1977, 6128], [4587, 4969], [3160, 9891], [2348, 7761], [5586, 6171], [7676, 9672], [1389, 2171], [2682, 10266], [6629, 7675], [780, 6035], [630, 9474], [2684, 10312], [1960, 3865], [4482, 7023], [3215, 3532], [2150, 3962], [690, 10656], [5198, 6412], [1345, 8638], [703, 4475], [5025, 7423], [3395, 5570], [5317, 11207], [9797, 10577], [5747, 10037], [2416, 5020], [5571, 8091], [9148, 10131], [2478, 5898], [3468, 10020], [6156, 7963], [270, 7976], [4241, 9943], [634, 2776], [4155, 7136], [812, 11184], [5803, 7286], [2220, 11093], [1590, 10697], [8031, 9216], [1025, 9198], [2952, 3845], [2833, 6597], [4352, 6145], [5195, 7588], [9897, 10757], [8030, 8991], [2584, 9276], [2701, 3445], [1768, 3240], [3237, 4179], [9794, 10255], [3846, 5226], [356, 9224], [5430, 7835], [6799, 10822], [3170, 5586], [2718, 4553], [8770, 9905], [1912, 5621], [2598, 9332], [4618, 11340], [2813, 11206], [3837, 4359], [2930, 5375], [5524, 10099], [3581, 10031], [2774, 8245], [9281, 10794], [5143, 10407], [163, 5769], [5910, 6378], [5734, 10848], [8447, 10568], [873, 1206], [6345, 9689], [6845, 10012], [965, 6807], [545, 7941], [1085, 5411], [1890, 10534], [4293, 5110], [675, 817], [793, 11426], [584, 11252], [3225, 9406], [6960, 7868], [5859, 8641], [3130, 5382], [3348, 6773], [3346, 10864], [2532, 7907], [1009, 6705], [1840, 6633], [7791, 11179], [976, 4313], [8317, 10471], [1247, 2332], [4947, 9663], [2684, 7897], [4948, 6101], [5132, 8662], [5825, 6374], [6308, 9002], [1196, 1993], [4559, 5767], [7031, 8808], [168, 4934], [3942, 9740], [3009, 9535], [3121, 4114], [3315, 7363], [7831, 10554], [7382, 9038], [1692, 5957], [16, 4513], [410, 7850], [10279, 11319], [5764, 8730], [7016, 10378], [5294, 5583], [2341, 9786], [4643, 10726], [591, 9359], [756, 1290], [4641, 7647], [5038, 11255], [3147, 5685], [4210, 4428], [9869, 10108], [5579, 11579], [1744, 8749], [7747, 10075], [4977, 6815], [692, 7132], [1246, 8472], [2586, 10721], [344, 9832], [6839, 10866], [239, 5874], [1025, 6783], [4920, 9664], [7277, 8059], [1332, 6711], [3999, 6086], [81, 7917], [2116, 10957], [45, 1844], [5316, 6631], [1770, 3904], [2112, 7805], [5393, 8571], [4534, 6595], [2199, 9679], [5150, 8813], [1347, 11156], [8317, 8511], [5118, 10029], [7179, 7874], [5698, 6174], [2468, 7625], [1791, 11547], [1289, 3981], [189, 5356], [9708, 10698], [6609, 8660], [3985, 5225], [3582, 4054], [9554, 10231], [8129, 9564], [2086, 5429], [5141, 11302], [4071, 4218], [1431, 6666], [6472, 8547], [6902, 8131], [4823, 8926], [8491, 11084], [1643, 8242], [1362, 1584], [2408, 9802], [4779, 6375], [4844, 6770], [419, 691], [4493, 5789], [97, 4612], [2777, 4192], [6796, 7331], [910, 3180], [2348, 5964], [1658, 7769], [5711, 9738], [4267, 6385], [1368, 8195], [3116, 5543], [406, 2334], [4077, 10425], [5789, 8116], [5260, 8526], [10017, 10648], [5595, 10502], [4315, 6806], [3009, 3387], [7991, 8825], [3601, 10846], [3699, 7971], [5872, 6057], [1575, 4859], [2452, 9296], [3035, 11374], [58, 11019], [3790, 10718], [521, 6579], [6185, 7685], [2689, 4321], [8017, 10396], [10314, 10992], [890, 1723], [2156, 11405], [3498, 10317], [8540, 9390], [8698, 9976], [6272, 7280], [1695, 10229], [9838, 11413], [7534, 9646], [6128, 6777], [5570, 8701], [1392, 8915], [7899, 11464], [6202, 8389], [1894, 10065], [2386, 9773], [3351, 6483], [1124, 7380], [8328, 10823], [5563, 7880], [1478, 10537], [2450, 7664], [4121, 5354], [1416, 3243], [361, 7771], [1913, 4049], [6574, 10627], [6078, 6259], [6824, 10021], [6662, 9693], [4648, 10883], [8375, 10238], [1345, 1498], [73, 8243], [63, 3391], [1814, 10836], [1815, 7274], [817, 8926], [1128, 6344], [6032, 6264], [3831, 5376], [1281, 7340], [1050, 10625], [1894, 9260], [4196, 10200], [1398, 11308], [2740, 3804], [2661, 10893], [4789, 10714], [4784, 10370], [7552, 9797], [1518, 3496], [6089, 9400], [2173, 4888], [3883, 8168], [180, 1293], [137, 4629], [1909, 2371], [5711, 6973], [8911, 9063], [2727, 5447], [2567, 8198], [2947, 7665], [5857, 6798], [2438, 5344], [2247, 2366], [1660, 2798], [1482, 10605], [4395, 7003], [4, 8422], [3219, 9292], [8472, 9366], [7083, 10608], [8131, 9073], [3427, 3579], [3991, 5607], [7726, 11239], [319, 4461], [8749, 11337], [6261, 11173], [6440, 9226], [282, 10995], [2773, 8424], [2916, 7978], [785, 8583], [675, 10697], [1893, 11263], [9618, 10968], [6784, 10167], [1395, 6822], [5656, 9494], [3492, 6983], [4847, 10264], [8228, 8982], [3615, 5104], [6364, 7487], [7415, 9633], [1007, 6309], [5539, 10787], [9341, 11225], [8930, 9439], [3806, 5803], [284, 3470], [683, 735], [2708, 3087], [1499, 10154], [1148, 2757], [2278, 7640], [1177, 7659], [5189, 9627], [6906, 7662], [3081, 5520], [4812, 7425], [4409, 5500], [7342, 10444], [9665, 10009], [5317, 5840], [7428, 9464], [1607, 9872], [862, 9718], [10273, 11555], [7584, 9977], [4819, 7815], [1509, 7085], [9351, 11539], [5591, 9792], [150, 10421], [618, 6325], [802, 8886], [8577, 11364], [4747, 8878], [1786, 2640], [1168, 3759], [696, 11119], [913, 2486], [5680, 6050], [4173, 9545], [6141, 11363], [6136, 11019], [2474, 9807], [2555, 5073], [77, 5597], [1190, 10873], [1157, 2065], [417, 2255], [6315, 9449], [1459, 6567], [7401, 7617], [3118, 3843], [3677, 5527], [246, 3312], [6655, 9490], [4609, 6261], [5104, 10404], [2609, 11321], [4765, 6774], [1461, 3580], [7121, 11360], [294, 2979], [2191, 6085], [983, 3955], [7077, 11061], [8634, 11093], [3780, 9038], [4029, 5578], [2403, 7661], [409, 458], [4400, 7965], [5091, 11266], [229, 5186], [2429, 5095], [684, 5766], [1587, 7260], [2903, 4951], [5472, 7201], [4919, 9469], [7073, 7505], [1092, 4248], [5825, 8228], [2017, 10227], [4166, 7919], [365, 3919], [900, 1045], [5401, 5456], [125, 4432], [3628, 10495], [4071, 8032], [5812, 10625], [731, 5181], [2723, 11557], [1068, 1568], [2316, 4228], [3149, 3448], [1316, 8436], [6070, 11041], [5077, 5867], [1613, 5424], [4388, 9028], [7003, 8213], [336, 1245], [4919, 8664], [3292, 10522], [5317, 6458], [1898, 5004], [6404, 10513], [6099, 9877], [4346, 5769], [7716, 10714], [449, 2061], [8156, 10232], [3540, 7591], [9541, 11500], [4992, 10081], [2287, 7970], [3994, 4563], [2696, 5923], [1266, 4912], [2103, 8792], [1759, 8982], [1602, 10496], [5738, 10810], [4120, 9748], [6790, 9394], [262, 5968], [1569, 11487], [2583, 4706], [2526, 3418], [4613, 7402], [1029, 1185], [1529, 8678], [3246, 10123], [5235, 6402], [5240, 6746], [2334, 6631], [3110, 6852], [5823, 6572], [3427, 5970], [2541, 7863], [7193, 10915], [1923, 2566], [403, 5045], [1552, 9978], [5341, 6047], [898, 5024], [1428, 1806], [3293, 6155], [5032, 7921], [5433, 9019], [7761, 8928], [5128, 8383], [646, 8186], [2191, 6703], [5310, 7865], [582, 4229], [3324, 11103], [1257, 9279], [3246, 8968], [4808, 10098], [2475, 3429], [8946, 10485], [6368, 10401], [3625, 11216], [764, 2930], [227, 2725], [8688, 8914], [2812, 9615], [7101, 10171], [1929, 4609], [158, 10475], [4538, 10395], [7256, 10459], [2327, 2403], [1924, 7648], [3727, 5457], [4654, 5093], [9266, 10998], [465, 11534], [5883, 9955], [8894, 9140], [4226, 5555], [2116, 11201], [2161, 3804], [5901, 9780], [643, 9362], [8640, 11475], [3788, 5329], [2917, 6756], [4035, 10124], [9126, 11368], [5184, 8641], [7209, 10993], [9155, 9854], [8576, 10901], [2053, 2931], [4205, 6556], [1402, 8074], [4431, 6310], [1284, 7264], [5452, 9745], [2955, 8337], [3325, 7116], [8087, 9582], [2956, 4775], [6249, 7056], [5753, 9858], [1295, 10055], [5096, 5387], [8029, 9577], [1109, 4415], [7184, 11471], [9515, 10897], [4945, 10853], [3446, 5541], [9755, 10357], [1756, 5165], [39, 714], [1857, 5971], [4059, 9713], [4652, 10227], [225, 9737], [3993, 9093], [1315, 11057], [702, 6104], [1065, 4466], [127, 10333], [9622, 10363], [5233, 6193], [3648, 8277], [5004, 11059], [4665, 7429], [1862, 8193], [1800, 7315], [181, 3399], [6070, 7821], [4010, 6414], [10584, 10939], [3766, 9437], [8453, 10820], [5368, 8488], [3143, 10212], [9805, 10420], [1830, 10540], [1078, 10713], [3452, 10967], [9976, 11241], [1170, 11433], [979, 7701], [6469, 7688], [599, 1818], [3754, 4889], [724, 766], [2470, 3703], [3846, 7861], [3559, 8585], [3942, 7569], [3121, 8359], [5082, 9006], [4887, 5532], [10067, 10955], [217, 8290], [6949, 6985], [7835, 10784], [1035, 4950], [5906, 8140], [118, 5278], [2728, 4119], [8863, 11226], [4479, 7400], [5098, 9135], [337, 9523], [8654, 11052], [433, 9985], [1276, 5012], [3547, 10803], [2552, 11218], [5190, 5691], [2542, 4114], [7772, 8900], [3343, 5331], [2006, 7517], [2298, 11301], [6279, 7540], [7363, 7914], [4897, 11481], [2373, 5998], [4155, 10844], [1349, 2265], [6364, 9341], [3806, 4274], [165, 4693], [483, 3282], [2716, 6337], [1778, 8040], [157, 3297], [5650, 6965], [4580, 7051], [6445, 11400], [535, 2691], [2838, 10649], [4185, 9905], [3024, 3457], [3870, 8581], [5417, 7925], [4111, 5260], [8658, 10016], [1675, 6757], [8213, 9373], [2387, 3021], [2731, 2831], [6996, 9409], [2734, 6512], [9678, 9816], [957, 8426], [5595, 9136], [1139, 3744], [3324, 3345], [4034, 5198], [7626, 9024], [3632, 11045], [3317, 9721], [6094, 7736], [927, 2518], [1828, 8103], [3913, 10506], [1298, 4905], [577, 9309], [5341, 8438], [2655, 10541], [3153, 7785], [8285, 9784], [1232, 9920], [1411, 5721], [75, 10761], [2522, 7918], [8411, 11586], [4387, 5851], [560, 2882], [6907, 8182], [288, 5392], [7557, 9984], [8620, 8727], [7876, 11427], [2109, 2272], [1023, 8241], [4046, 8941], [9894, 10356], [9405, 10165], [1561, 9048], [85, 1276], [5778, 7284], [433, 8375], [6842, 8137], [211, 3078], [7862, 10216], [88, 10592], [300, 2369], [9109, 10022], [3226, 9552], [1132, 5151], [1419, 8591], [7458, 9574], [4929, 9409], [6372, 8373], [701, 6096], [2559, 2858], [1696, 10562], [4218, 7304], [9311, 9375], [3099, 10127], [2399, 8992], [4363, 6904], [7289, 7671], [3827, 10307], [7634, 11089], [5542, 7515], [1053, 6147], [9616, 10361], [2147, 4203], [1248, 9998], [4567, 7084], [2175, 9634], [5059, 7546], [8553, 10083], [10253, 10423], [3795, 7736], [274, 6759], [3908, 5169], [3280, 5600], [2812, 9696], [757, 9387], [5154, 11166], [1257, 3294], [4829, 4990], [5515, 7947], [3552, 7227], [881, 10362], [4119, 6520], [5736, 7357], [2126, 2925], [5584, 9969], [2401, 11266], [787, 7694], [2217, 8705], [6330, 11479], [2271, 8941], [963, 9613], [5820, 8933], [526, 2442], [1866, 11107], [1783, 9352], [5174, 8004], [3667, 7335], [587, 3849], [5473, 8825], [839, 10486], [2546, 7833], [8714, 10916], [985, 10311], [3602, 10323], [583, 9742], [10471, 11009], [8795, 8811], [1534, 1858], [3743, 6017], [2660, 11503], [4989, 7850], [1596, 6119], [4519, 5457], [3285, 8522], [7423, 8909], [5794, 6557], [6920, 10540], [36, 11451], [7228, 8441], [719, 9229], [5581, 8893], [6720, 6722], [1661, 3481], [1088, 10035], [5329, 7891], [4200, 10026], [8150, 11116], [8626, 11045], [7320, 7626], [4163, 10898], [806, 3906], [5441, 11515], [8928, 10629], [7842, 10182], [1335, 7633], [6651, 11439], [887, 5965], [4978, 7260], [5004, 6229], [704, 7012], [20, 9763], [3900, 5950], [290, 11344], [5498, 5983], [9999, 11148], [1504, 4594], [4298, 10160], [6858, 8884], [1753, 5298], [1603, 8737], [2659, 11227], [1250, 11093], [2960, 7957], [1969, 3610], [2841, 3539], [848, 6360], [5860, 7503], [6661, 10972], [587, 5272], [9270, 10342], [7131, 11086], [10082, 10220], [1985, 4493], [5653, 8903], [4562, 7358], [2850, 3251], [8147, 10013], [743, 9168], [2362, 10078], [798, 2459], [2661, 10145], [4877, 5649], [1301, 10627], [2514, 6685], [1050, 6844], [1552, 7994], [2414, 3071], [5471, 9771], [5810, 6985], [3877, 7605], [1630, 6372], [7488, 10727], [1007, 2983], [146, 11514], [43, 1213], [3618, 8842], [605, 8830], [903, 6043], [220, 2603], [2623, 3595], [5104, 10916], [3025, 5295], [876, 1187], [3928, 6789], [587, 1084], [159, 7962], [2949, 9622], [2274, 10207], [3576, 9720], [771, 9657], [9706, 10067], [2488, 7692], [155, 1023], [5626, 6652], [4411, 9767], [2169, 9632], [1722, 1773], [3275, 5069], [704, 8785], [596, 1146], [2376, 9329], [2371, 8985], [631, 9246], [8157, 9522], [9774, 10359], [1253, 9000], [2689, 10957], [5848, 10794], [8960, 10785], [5155, 9295], [2046, 3159], [4311, 8381], [8649, 9553], [5999, 11313], [2818, 2857], [3573, 7863], [10228, 11064], [9786, 10719], [2879, 9926], [1103, 11284], [1791, 8652], [1964, 10300], [2404, 10572], [420, 8221], [1567, 10829], [1999, 6322], [9555, 10190], [7416, 10934], [2999, 11132], [525, 5012], [2269, 4870], [2981, 3386], [162, 10033], [7686, 9482], [4040, 9557], [4948, 11395], [2424, 5158], [7548, 9548], [3482, 4311], [10240, 10643], [2174, 11399], [3227, 9454], [25, 7291], [3664, 10209], [3129, 6667], [706, 9904], [990, 3247], [3188, 3864], [352, 2990], [8620, 9508], [1041, 9628], [84, 701], [8666, 9883], [54, 9160], [8533, 10293], [2848, 3392], [4436, 9907], [1881, 4357], [4682, 6930], [5583, 7597], [2539, 6020], [15, 6199], [7289, 11135], [997, 6296], [4362, 10897], [871, 7877], [6509, 7762], [8317, 11577], [2211, 2956], [282, 7482], [1500, 8048], [4082, 11257], [7592, 7911], [2327, 4070], [2275, 3880], [1021, 1405], [3825, 9911], [7534, 7906], [7465, 10021], [3798, 8465], [1200, 7005], [3388, 3871], [3727, 4091], [3917, 9850], [1675, 8961], [4039, 8527], [525, 10973], [6053, 6556], [4072, 10138], [3594, 7130], [4432, 8229], [1357, 7339], [3754, 5133], [2260, 6581], [111, 2473], [329, 10280], [1193, 6184], [8512, 8611], [4840, 8963], [3555, 11339], [255, 7887], [1375, 4912], [1849, 4768], [9464, 9997], [6317, 6787], [1867, 4593], [716, 2997], [4205, 5190], [2921, 10420], [6376, 7367], [1219, 7755], [9832, 11332], [2834, 4759], [3849, 7248], [4480, 10498], [1681, 3090], [8998, 11106], [5937, 7670], [4347, 4492], [23, 5635], [5072, 11541], [5000, 9975], [8269, 9950], [2018, 9276], [1861, 11544], [6453, 8903], [7106, 10222], [1381, 11092], [442, 3525], [6398, 8415], [10035, 11260], [3432, 5216], [1011, 2864], [8352, 9022], [5632, 5879], [2357, 7587], [1484, 8187], [2980, 10195], [6619, 9703], [549, 739], [2830, 7218], [2272, 8388], [5405, 7004], [5690, 9617], [3314, 6284], [1294, 4276], [8138, 10382], [46, 11415], [166, 10019], [6494, 11105], [4781, 7527], [5237, 7578], [36, 1278], [2097, 5539], [2501, 3902], [479, 5231], [4612, 5274], [3560, 10073], [2841, 3970], [845, 7274], [2154, 3040], [1412, 8819], [4247, 10222], [3896, 9241], [250, 2900], [6046, 10541], [7885, 9505], [7880, 9161], [4950, 8652], [621, 10949], [6624, 10023], [6875, 7390], [5412, 6239], [5134, 8180], [2145, 6310], [923, 1838], [2442, 5550], [1987, 8353], [8482, 9387], [7448, 9130], [6778, 10059], [3154, 5197], [6142, 9094], [8485, 10035], [2623, 10442], [7363, 9931], [10747, 11576], [2394, 8892], [4836, 9812], [2744, 5484], [2095, 5038], [1560, 8666], [4147, 5803], [4398, 9586], [8247, 9870], [5919, 7709], [1220, 4811], [2433, 5033], [4100, 5233], [1958, 5679], [4284, 4761], [6214, 10259], [6152, 6375], [1205, 4129], [4131, 11312], [1423, 5520], [7367, 8895], [3098, 9745], [2945, 6497], [7389, 11128], [3101, 7010], [1687, 2368], [9785, 10949], [3653, 7523], [4280, 7621], [6138, 10799], [8349, 10123], [1320, 10653], [847, 2327], [2741, 11578], [6566, 7304], [664, 2620], [4241, 5414], [9122, 9292], [7498, 8038], [5579, 6082], [2270, 2544], [6466, 7073], [213, 1408], [992, 5310], [1306, 6409], [3417, 8535], [2316, 8554], [1447, 5890], [798, 7696], [1670, 7625], [1171, 3740], [3156, 8945], [4164, 8735], [300, 1003], [6354, 8710], [8260, 8896], [5705, 10516], [1037, 4679], [2279, 5639], [6606, 8931], [562, 10987], [1840, 5942], [5169, 10132], [7479, 9435], [5222, 7514], [5299, 9424], [3520, 4095], [1770, 10084], [4237, 7119], [1186, 10787], [10272, 10612], [2108, 10079], [1490, 11198], [4907, 5409], [149, 9478], [92, 8944], [2609, 11004], [5628, 8552], [1287, 7082], [2751, 6923], [2417, 7801], [6175, 8721], [2915, 5799], [377, 7800], [2374, 8104], [822, 2000], [1966, 6589], [185, 4597], [7748, 9636], [7316, 9979], [4181, 6032], [5332, 7628], [7792, 9908], [6885, 10924], [1773, 3915], [5544, 9204], [9064, 10710], [5203, 8911], [3978, 10584], [1337, 3762], [8661, 9539], [3957, 10461], [380, 1251], [2558, 11015], [3828, 7607], [8408, 9093], [2026, 6990], [364, 7164], [6530, 9420], [3911, 6329], [9024, 10530], [120, 3771], [5218, 6186], [1073, 4628], [8170, 8174], [4032, 7787], [3440, 3711], [4563, 7423], [2636, 6360], [1227, 2062], [9112, 9596], [4315, 8075], [6932, 10339], [4086, 8023], [1849, 8232], [6556, 10991], [9562, 9832], [1850, 4670], [733, 8320], [7827, 8939], [4300, 5508], [1073, 4978], [1945, 11323], [5543, 7824], [3583, 6621], [7328, 10689], [5050, 7891], [36, 10085], [1156, 10116], [1751, 11457], [10455, 10988], [6847, 7383], [3943, 8095], [6716, 7866], [4971, 8537], [3727, 6750], [6916, 8651], [5846, 7983], [705, 8904], [5285, 9636], [1018, 7149], [2647, 9501], [892, 8730], [892, 2314], [396, 4362], [2364, 6180], [1419, 4460], [6310, 9780], [4309, 5570], [4216, 9543], [329, 6523], [10509, 11574], [2035, 3645], [1343, 2371], [1282, 4347], [793, 1904], [3089, 8691], [11203, 11389], [2276, 2926], [2052, 7382], [4507, 9318], [5037, 6100], [1960, 7793], [5609, 7989], [6461, 6542], [4470, 9436], [1827, 8203], [2212, 8768], [7308, 10356], [3352, 9451], [1695, 5805], [1041, 4261], [798, 1093], [9005, 10398], [9981, 10650], [2686, 10529], [3214, 6484], [4313, 5638], [5, 6560], [5837, 9694], [161, 7073], [8282, 10942], [8843, 9289], [2921, 5858], [61, 6842], [2671, 5683], [3639, 5320], [5569, 10818], [1801, 9210], [8594, 11564], [280, 8054], [8373, 9875], [1298, 7808], [1704, 2080], [7607, 10372], [213, 10215], [9705, 10728], [6775, 10219], [2848, 10052], [21, 596], [1726, 7696], [2694, 9585], [808, 3635], [5391, 11054], [7034, 10860], [3716, 10212], [944, 6879], [839, 8583], [2833, 9370], [1816, 6808], [10054, 11262], [379, 11042], [1036, 9097], [1731, 3502], [6562, 8017], [1272, 8815], [5343, 7980], [2049, 5474], [4664, 11075], [3850, 8118], [242, 4513], [5063, 9094], [6066, 7786], [5725, 7493], [3531, 3642], [1695, 4195], [3284, 6394], [4311, 10398], [4127, 7837], [4058, 5788], [252, 1444], [102, 4883], [8293, 9491], [5645, 7914], [1163, 7717], [8847, 10831], [9566, 10518], [2190, 5305], [6574, 9131], [41, 443], [2907, 3411], [3065, 11167], [5453, 11127], [3932, 4336], [3427, 9304], [6171, 10589], [2458, 9442], [4103, 5157], [2676, 10833], [1114, 3287], [2309, 9319], [4697, 9279], [1304, 7548], [4669, 7231], [7866, 9804], [3795, 4223], [3255, 6753], [3105, 3776], [5319, 9033], [1556, 7769], [3006, 3016], [7467, 9506], [1196, 2538], [3226, 5234], [3141, 9068], [1861, 5372], [3033, 5593], [7544, 10692], [1854, 4201], [5434, 9922], [291, 10016], [6361, 10312], [4535, 11553], [1973, 8996], [1063, 6331], [610, 5797], [7549, 8003], [5682, 6991], [1066, 3596], [1651, 6501], [7165, 11046], [50, 10304], [446, 3888], [7636, 10631], [3909, 4860], [5664, 11323], [8348, 9147], [4024, 9536], [7883, 10508], [4922, 10686], [2289, 10141], [6827, 11401], [590, 4017], [5328, 8341], [6283, 10779], [5075, 8649], [6076, 6514], [1866, 4561], [2335, 9735], [1616, 3632], [5282, 11379], [5497, 6837], [2011, 4161], [5402, 9983], [3294, 5876], [4479, 10466], [823, 1902], [5952, 10800], [7077, 11175], [7731, 9713], [3283, 4182], [3723, 8618], [3475, 4352], [3550, 5465], [2810, 4901], [6829, 8040], [5760, 10980], [70, 4489], [8041, 11043], [1835, 5224], [8679, 10576], [1365, 2077], [1223, 9541], [7992, 9646], [1464, 6220], [3580, 7936], [431, 8817], [486, 8524], [861, 1231], [6215, 8527], [5344, 11452], [1149, 10531], [8952, 9395], [115, 10274], [3000, 11040], [9357, 10612], [1198, 4007], [138, 4027], [2223, 11348], [12, 5608], [3224, 9213], [2653, 3762], [7458, 10062], [9944, 10557], [5018, 9188], [1886, 11174], [4933, 10770], [5014, 5282], [4186, 9035], [3615, 5836], [4174, 7520], [4583, 6227], [1381, 3310], [1969, 3480], [3576, 3629], [900, 6420], [6413, 11494], [3608, 11431], [2228, 4121], [9915, 10916], [1417, 4845], [1384, 2453], [6782, 9267], [459, 2863], [1362, 4357], [668, 6420], [3262, 11144], [5241, 6735], [2074, 10420], [2938, 5570], [701, 5779], [3860, 5616], [7010, 8343], [793, 8751], [1725, 2315], [1037, 2695], [4768, 10837], [11528, 11580], [1843, 4256], [4458, 9857], [8878, 9176], [3731, 9528], [586, 729], [3848, 4451], [3136, 11570], [9889, 11142], [3354, 6545], [8758, 10952], [1444, 2453], [2820, 4359], [3439, 6094], [9008, 10346], [5432, 8908], [7476, 9058], [6144, 11588], [578, 6853], [1259, 10220], [8442, 8622], [7793, 10428], [3958, 7598], [2037, 9733], [282, 8962], [4361, 5736], [5510, 10669], [2309, 4944], [2770, 9503], [8341, 8920], [3802, 7435], [2088, 3255], [3100, 5473], [8213, 9674], [4295, 10751], [584, 6267], [1145, 1608], [642, 9655], [6025, 9021], [5746, 9606], [6317, 6389], [3572, 4879], [1726, 4744], [203, 9958], [2195, 9918], [5555, 7005], [3344, 8435], [8882, 11122], [694, 10195], [9560, 11185], [723, 7900], [1561, 8999], [5697, 6307], [7789, 10635], [8465, 8740], [934, 5868], [9466, 11523], [9648, 10251], [126, 11027], [8276, 9218], [7068, 7088], [7906, 8187], [3019, 5992], [987, 6633], [2420, 11325], [2769, 5063], [7939, 9798], [1606, 1952], [465, 1044], [6999, 8422], [8561, 8798], [3539, 4715], [2021, 3857], [1727, 3410], [2270, 10977], [4975, 6672], [4557, 10885], [484, 10893], [86, 7814], [2324, 11213], [760, 10010], [1670, 6259], [2513, 7702], [8884, 11144], [9312, 9901], [9408, 9609], [819, 4174], [3430, 10033], [5699, 8581], [7003, 11173], [382, 4550], [8687, 10980], [2021, 9118], [252, 8641], [663, 10427], [2898, 3729], [4665, 7543], [2733, 5382], [1981, 3303], [7369, 9429], [6130, 7986], [1486, 8959], [9772, 11175], [4944, 9587], [6506, 10717], [899, 3729], [1764, 8903], [5724, 10681], [2973, 7471], [1734, 3776], [1722, 2261], [2415, 7143], [4244, 5419], [54, 4842], [3942, 10716], [4623, 7667], [5373, 5913], [3781, 6826], [1446, 9910], [195, 536], [9881, 11468], [4231, 7062], [4143, 7215], [2061, 2077], [3745, 10552], [6696, 9686], [6577, 8274], [1904, 4345], [10651, 11120], [1558, 3708], [756, 2266], [1370, 10073], [663, 6239], [2528, 4172], [1864, 4946], [281, 3693], [67, 11089], [1182, 10776], [5134, 6277], [2613, 5973], [4667, 6811], [1422, 7230], [1021, 6886], [470, 9227], [1236, 4596], [5074, 11107], [2545, 4526], [3351, 6841], [3015, 6892], [4978, 8366], [7839, 10990], [895, 5434], [5996, 7366], [3009, 6323], [2606, 11568], [2350, 7441], [180, 2456], [4595, 5595], [2385, 9879], [4372, 9495], [1530, 4669], [1230, 10793], [3749, 10270], [5922, 8356], [695, 7251], [2787, 11579], [4363, 5245], [5016, 6564], [3596, 6241], [819, 8980], [2089, 3320], [9690, 11095], [566, 2118], [4268, 5358], [5792, 9414], [3930, 8746], [7715, 11489], [3267, 3706], [467, 4741], [4102, 4507], [3971, 7996], [8561, 9416], [4875, 10092], [6088, 6150], [3034, 3885], [8357, 8862], [4067, 4671], [2635, 2833], [2465, 4896], [7239, 8877], [1573, 6944], [2774, 5651], [2876, 9311], [3704, 8941], [2809, 5056], [534, 8191], [5412, 9142], [1145, 3649], [5298, 5822], [9393, 9545], [1065, 8581], [9525, 11162], [6968, 9703], [588, 8427], [1078, 1646], [4412, 11098], [2423, 8403], [5969, 11130], [8918, 9437], [4123, 4579], [7283, 7994], [3140, 7263], [6997, 11572], [8112, 11259], [1758, 4788], [603, 6456], [7638, 11376], [5181, 6361], [6237, 8851], [1664, 2874], [2223, 4558], [7510, 9878], [5061, 5478], [5773, 7404], [4989, 6541], [11331, 11497], [6725, 8790], [479, 10712], [283, 6636], [1535, 6786], [9086, 10310], [5385, 10678], [9968, 10927], [687, 8382], [4269, 10766], [1339, 6093], [126, 10035], [2829, 4903], [4661, 9866], [3888, 6910], [6211, 6475], [9824, 11178], [3969, 6340], [80, 6657], [7707, 9237], [2669, 6873], [931, 1545], [1516, 4450], [1922, 2886], [4974, 5078], [1072, 7442], [5089, 9754], [1761, 7664], [1267, 11293], [2096, 10394], [2127, 3291], [6646, 6753], [4834, 5448], [9259, 9275], [4426, 10349], [2619, 9388], [2163, 2167], [3118, 3851], [5487, 6767], [814, 9254], [8821, 9049], [4363, 9246], [6078, 10618], [1128, 3937], [534, 9614], [5489, 10223], [2552, 10795], [5689, 6901], [3741, 6459], [2096, 10744], [152, 7068], [1394, 2366], [7844, 8545], [5734, 10027], [7346, 9766], [2019, 11463], [6747, 9437], [3168, 9980], [6664, 7682], [7937, 7955], [1870, 4924], [3668, 8805], [168, 1535], [1790, 2716], [6174, 6542], [2627, 5842], [5983, 6193], [5590, 9874], [4347, 10941], [8017, 9762], [4245, 4248], [9313, 10958], [1813, 9651], [8187, 11112], [11306, 11520], [6478, 10686], [9000, 9680], [62, 3337], [9746, 11190], [5222, 10767], [1144, 10431], [11128, 11406], [9763, 11544], [2454, 7553], [5778, 11399], [1823, 4303], [3596, 11315], [3723, 4674], [3812, 9627], [7955, 11112], [9846, 10266], [2248, 6172], [947, 3851], [6514, 11440], [3214, 5736], [4982, 5988], [4419, 5316], [5413, 6174], [2465, 11475], [1304, 5027], [743, 2516], [3215, 5557], [3205, 4869], [7532, 8161], [2269, 7399], [3767, 6070], [6467, 11220], [1558, 5294], [799, 6208], [3761, 9638], [4783, 6128], [8513, 11416], [4165, 7247], [4091, 11270], [3783, 6953], [546, 4981], [4035, 5676], [824, 11341], [4437, 8874], [3095, 6552], [4991, 6050], [8635, 10066], [1321, 5731], [2351, 2836], [2812, 7395], [6014, 6148], [7325, 9911], [2504, 3078], [7488, 10841], [69, 8964], [5702, 8505], [8555, 10487], [8883, 9764], [10609, 11325], [8401, 10020], [490, 7681], [8218, 11067], [4610, 6708], [2517, 3663], [772, 3580], [8332, 9102], [4135, 11518], [6869, 7951], [4076, 10157], [2161, 4967], [6333, 11354], [3141, 9125], [4616, 6903], [2281, 9987], [1315, 3226], [9630, 10344], [6199, 11539], [6636, 8130], [2066, 5080], [127, 8918], [3213, 6934], [5800, 11241], [5645, 7166], [5676, 6479], [5982, 10723], [2114, 11163], [4053, 11462], [4860, 6832], [3978, 8844], [1110, 5803], [5005, 6432], [4198, 4646], [7269, 11052], [7253, 10519], [7171, 8265], [2881, 9736], [1479, 4357], [5472, 8527], [618, 2308], [1443, 8083], [4591, 7731], [1943, 6154], [10470, 10711], [5484, 8537], [1936, 4983], [7944, 10817], [4809, 9122], [5220, 10908], [7608, 10868], [4905, 9584], [2873, 6061], [4929, 7726], [693, 6804], [3272, 9742], [7718, 8784], [4058, 4235], [4418, 7961], [6885, 11412], [5385, 5498], [2305, 9926], [3864, 4369], [2710, 11143], [1308, 5764], [3326, 6945], [2082, 5158], [1832, 10645], [4609, 8660], [435, 6364], [7747, 9872], [2303, 10230], [8619, 9801], [4003, 6406], [2664, 7765], [3887, 8675], [862, 11312], [5745, 6191], [1672, 10363], [2114, 10708], [92, 8627], [5185, 10698], [4565, 10990], [1322, 5820], [737, 2915], [2786, 5661], [8109, 11392], [6020, 11499], [6739, 10432], [4088, 5174], [5283, 10452], [3942, 8732], [1033, 2684], [7395, 9016], [10340, 10587], [2332, 8315], [310, 9644], [1707, 5230], [11178, 11282], [5507, 9005], [615, 10630], [5682, 7316], [7645, 8790], [1636, 9901], [428, 7771], [10450, 11482], [7673, 7805], [5367, 9375], [6557, 10145], [2440, 8383], [2577, 11098], [602, 8109], [2381, 4770], [2283, 4235], [1999, 4476], [6176, 10453], [1474, 1622], [7738, 11583], [730, 10738], [4273, 7532], [880, 883], [659, 5610], [344, 10702], [62, 1190], [5859, 6023], [150, 256], [3764, 5561], [6757, 10556], [5625, 9010], [2710, 9533], [7691, 11363], [1089, 5544], [3257, 3286], [490, 10877], [5779, 6444], [6212, 9709], [3375, 5227], [1542, 3045], [1325, 4508], [7329, 8688], [7823, 9977], [3967, 8522], [6859, 10459], [9133, 9351], [478, 9712], [4332, 10340], [3807, 7486], [4390, 7312], [3408, 7188], [60, 3722], [5419, 11362], [7695, 11081], [2110, 7824], [933, 7259], [10951, 11201], [7768, 8334], [8019, 9865], [5436, 8683], [959, 2414], [2545, 7348], [4307, 10818], [1053, 8465], [1074, 6336], [2791, 4371], [3099, 4524], [4339, 9575], [8919, 11061], [3253, 8374], [6081, 6354], [6607, 7898], [6586, 7775], [7484, 8925], [939, 9302], [4645, 7780], [189, 2388], [8067, 8751], [3406, 6337], [1025, 2660], [8696, 8922], [565, 5119], [4771, 9582], [4585, 6948], [3213, 9325], [1618, 6557], [7533, 11446], [4823, 8991], [3730, 5121], [3337, 11054], [7840, 9876], [1453, 7429], [5415, 10034], [3760, 6461], [5344, 11322], [184, 8029], [55, 9339], [4757, 7590], [5934, 8155], [9012, 9316], [3470, 9139], [7368, 7787], [3526, 10202], [482, 7871], [1684, 3770], [6950, 8213], [7259, 9722], [4141, 11414], [2100, 9283], [6795, 10527], [816, 7343], [2712, 7595], [9, 2147], [5792, 8048], [1310, 7851], [4851, 10234], [2762, 10341], [6380, 8972], [5504, 11553], [7650, 8947], [3104, 10455], [1636, 9714], [7670, 9599], [2735, 8868], [3033, 6081], [925, 1220], [10159, 10365], [2751, 5614], [3530, 9516], [4058, 5471], [6257, 9696], [6210, 9850], [1002, 8795], [326, 6526], [5580, 7202], [4981, 8371], [36, 6198], [5514, 8834], [3282, 9387], [2281, 4352], [4180, 10537], [5888, 10738], [4644, 8951], [2648, 5085], [2925, 7837], [189, 10577], [877, 10197], [2231, 9900], [183, 5844], [589, 7286], [3543, 10101], [1120, 11086], [4790, 4989], [4480, 10425], [4169, 6591], [4783, 7982], [6469, 6704], [5624, 8598], [1112, 9690], [6251, 8696], [1953, 11060], [2571, 2771], [4501, 8269], [10669, 11352], [989, 11542], [609, 4905], [6216, 9641], [3088, 4983], [5655, 11267], [1603, 9900], [11116, 11290], [9199, 10915], [8186, 10781], [4309, 8449], [5429, 8480], [1683, 11357], [4107, 10974], [591, 9587], [875, 2930], [2771, 3182], [56, 383], [4233, 6360], [3046, 5107], [6882, 11545], [7247, 9980], [1345, 5296], [2637, 3367], [3044, 7663], [4038, 9275], [4886, 11062], [6493, 10457], [1608, 9089], [2507, 10841], [2161, 3788], [1197, 10686], [7453, 10206], [8974, 10581], [7422, 8641], [2850, 11180], [6924, 9862], [10728, 11127], [4553, 4621], [1246, 4162], [1853, 2854], [354, 6210], [2589, 5928], [4526, 6181], [1628, 3675], [8813, 10074], [1155, 1765], [5979, 11525], [6096, 6448], [342, 8078], [4521, 9220], [467, 7026], [1747, 9224], [1869, 10153], [10200, 10634], [3462, 6432], [2777, 5575], [8033, 10084], [125, 846], [6594, 7075], [7337, 11320], [4505, 7182], [3610, 9713], [3782, 10759], [1263, 11282], [2424, 4898], [3004, 7459], [731, 8011], [10448, 11086], [4314, 6833], [3820, 10462], [1071, 1663], [7058, 8872], [4692, 10391], [10153, 11168], [1066, 4702], [3063, 11422], [9601, 9874], [2438, 11370], [198, 5646], [2901, 6930], [5829, 10776], [8602, 11301], [104, 5230], [8686, 9494], [1237, 8906], [9614, 10486], [10739, 10861], [7599, 8822], [5840, 11315], [7593, 9007], [10741, 10907], [5040, 9919], [1238, 3065], [274, 9963], [5522, 8939], [3009, 6998], [2537, 7942], [5896, 7810], [3504, 10360], [9132, 10311], [5369, 9047], [7103, 10469], [1232, 11514], [2096, 7418], [5019, 10920], [1942, 6951], [1624, 1946], [3391, 5760], [4667, 9714], [7497, 10773], [2860, 8753], [4663, 6562], [2181, 10350], [1677, 8373], [4168, 5802], [3853, 10894], [7466, 8427], [9673, 10261], [303, 4261], [2039, 6510], [4222, 6038], [7800, 10932], [393, 6406], [737, 10380], [7438, 9762], [3603, 6932], [4618, 9421], [1159, 8568], [5240, 8421], [3714, 7702], [8065, 9136], [4114, 4411], [4057, 8041], [3250, 6255], [4303, 5064], [7079, 11522], [1446, 8975], [6384, 9977], [565, 5550], [1874, 7732], [1750, 5976], [6113, 8925], [2238, 8948], [1801, 5941], [1246, 11546], [4016, 8390], [4133, 8975], [8503, 8931], [6725, 10620], [4918, 9659], [8614, 9701], [4094, 6014], [9212, 10559], [2041, 8784], [2732, 9833], [1524, 3539], [2453, 4756], [2415, 8436], [7180, 8167], [8883, 10276], [4597, 7739], [9750, 9861], [4970, 6035], [2348, 9843], [667, 8055], [4619, 11470], [4586, 6826], [4116, 4433], [5676, 8146], [3377, 7477], [1224, 5879], [1964, 3437], [441, 2235], [3240, 10397], [3061, 8180], [7698, 10200], [6354, 11215], [2457, 6753], [339, 8374], [10338, 11135], [314, 10761], [2544, 9381], [186, 10761], [3825, 10269], [4699, 11025], [5850, 6205], [5720, 10296], [6473, 8813], [921, 1532], [3355, 8253], [7143, 11267], [4629, 5718], [3743, 7611], [1917, 8852], [164, 8908], [330, 10109], [5053, 6985], [7888, 8388], [2007, 8745], [851, 2641], [2315, 6646], [882, 1954], [8973, 9364], [820, 10875], [1102, 9807], [6978, 9106], [5820, 6339], [5212, 8146], [5143, 10261], [6664, 11390], [6206, 9758], [2930, 8612], [2059, 11537], [2357, 8750], [4385, 10619], [774, 1081], [379, 10351], [5133, 8792], [4321, 6662], [5757, 9373], [7835, 8353], [5541, 7274], [4039, 11113], [4510, 6534], [7032, 9692], [893, 5095], [7398, 10981], [10854, 11536], [10656, 10797], [231, 2909], [5081, 8228], [2161, 8407], [1158, 9715], [1193, 5737], [6630, 7618], [4300, 11046], [2492, 7231], [4770, 7777], [3488, 9670], [1786, 6251], [5420, 11077], [4107, 11405], [7844, 11448], [4514, 9285], [2647, 8273], [8846, 10669], [8782, 8964], [5535, 6304], [4146, 7546], [2644, 7221], [4232, 7320], [3723, 4999], [2736, 7941], [2853, 9280], [707, 8099], [898, 1251], [5034, 11391], [2448, 11446], [6684, 8204], [5808, 10785], [4622, 5970], [1862, 4152], [5062, 6242], [328, 8453], [3376, 10903], [2096, 9459], [9155, 10269], [6484, 7742], [2351, 7699], [691, 3782], [3027, 9968], [1121, 2612], [4988, 8363], [3584, 8573], [3522, 7695], [5669, 10976], [8563, 9576], [225, 7924], [2400, 6837], [10091, 11122], [2552, 9860], [1645, 10876], [2517, 11559], [2680, 6073], [7126, 11531], [1364, 2720], [2572, 4850], [2614, 8459], [4293, 9420], [3391, 11534], [4480, 9246], [774, 9270], [6684, 7399], [4065, 10724], [7425, 10817], [2814, 7766], [8915, 9627], [8519, 9627], [4087, 8793], [8049, 10644], [796, 9968], [163, 5891], [3382, 4251], [7766, 8077], [2372, 3634], [1632, 10240], [1533, 3064], [5948, 6203], [1383, 10667], [325, 934], [2842, 10164], [5615, 10689], [2623, 4384], [6014, 10206], [3428, 9507], [1783, 7376], [3089, 3625], [3392, 7598], [31, 3870], [9862, 11019], [2202, 6047], [1682, 3537], [1234, 9039], [9525, 10845], [1024, 5257], [4611, 10991], [2020, 3532], [117, 2109], [9707, 10327], [1679, 3239], [2766, 11458], [4977, 5864], [2735, 5729], [7282, 10485], [2227, 4010], [520, 1001], [1022, 1397], [3472, 9405], [2701, 9528], [2823, 4795], [261, 8654], [3504, 7408], [5673, 6506], [263, 8700], [3007, 10739], [11035, 11411], [6572, 11264], [1973, 3312], [1121, 4035], [5900, 9114], [2999, 9343], [9628, 11323], [6132, 7959], [5949, 9006], [438, 3978], [1382, 5473], [6198, 9710], [1621, 5489], [3861, 5551], [6512, 10809], [781, 4317], [3583, 9744], [1183, 5263], [2055, 8198], [2518, 3004], [3046, 9539], [7122, 9048], [4608, 9915], [993, 11555], [1717, 11586], [1138, 1356], [7350, 11127], [1746, 10072], [4100, 11202], [4573, 7450], [48, 9835], [733, 3522], [839, 4672], [2425, 10360], [3000, 6161], [699, 8075], [5901, 10813], [7243, 7473], [1075, 4390], [4737, 8231], [388, 6843], [1723, 7994], [5388, 6471], [3674, 7953], [7753, 11143], [2813, 10068], [8009, 8854], [3871, 8467], [230, 2470], [8282, 8454], [7008, 10208], [615, 2311], [595, 10704], [588, 9533], [5440, 9263], [4232, 7133], [983, 10062], [1482, 7531], [1712, 4021], [673, 2666], [110, 3492], [4072, 8349], [5500, 6281], [8697, 8854], [3096, 5064], [5060, 9392], [1412, 5607], [1690, 4797], [8154, 11436], [9933, 10349], [9305, 10780], [2493, 9847], [626, 8081], [8251, 8336], [5195, 10906], [2801, 11131], [5967, 7221], [1885, 7897], [8488, 10908], [3222, 9094], [359, 6397], [4600, 7663], [4490, 9777], [2256, 6497], [2533, 5085], [2261, 7595], [9656, 10606], [6830, 10420], [7670, 10811], [418, 3190], [7071, 9728], [5457, 9162], [2460, 3267], [5660, 9521], [6451, 10774], [7261, 9825], [2048, 8426], [1879, 6897], [7125, 9964], [6013, 10548], [7628, 8306], [3325, 9572], [2203, 8714], [8682, 9969], [6435, 8736], [2758, 6492], [1679, 3052], [5813, 5949], [2019, 3120], [1539, 6455], [577, 1348], [6870, 11293], [55, 8591], [4286, 5759], [10891, 11095], [6377, 11360], [1515, 5280], [2485, 7996], [4278, 4363], [164, 8534], [7268, 9841], [5437, 9984], [7708, 9359], [3374, 4896], [659, 2097], [8291, 9185], [2152, 5342], [6797, 7223], [5742, 7587], [4555, 6334], [8502, 10159], [5792, 6950], [95, 3452], [5101, 7032], [660, 2672], [7124, 8557], [6907, 10020], [8099, 9365], [4955, 10590], [1342, 6641], [3427, 9044], [2677, 3628], [368, 1517], [6035, 7058], [116, 11095], [331, 6553], [4379, 10430], [5659, 7710], [2256, 4537], [1605, 10434], [2514, 8710], [4472, 9840], [6466, 10627], [324, 2349], [1545, 8848], [950, 5255], [3040, 8002], [3128, 4439], [1144, 2088], [1295, 2257], [142, 6250], [9323, 9345], [6274, 7424], [3251, 6724], [761, 5733], [231, 2535], [3242, 8890], [630, 2806], [599, 1241], [7973, 9791], [10660, 11296], [5796, 10051], [8134, 10648], [2995, 5226], [2100, 4347], [3239, 7838], [3490, 5205], [2595, 8490], [7975, 9837], [353, 1185], [6046, 7947], [1252, 5943], [87, 2005], [336, 2709], [127, 8951], [10822, 11250], [1049, 8243], [2174, 8618], [374, 8828], [2170, 11128], [7681, 9740], [8116, 9668], [1767, 3541], [4074, 8989], [3141, 11036], [6178, 9190], [4411, 5376], [488, 2699], [4942, 11428], [4500, 4667], [2507, 10898], [2471, 4825], [4026, 11200], [7455, 10336], [3692, 5662], [4858, 5314], [10179, 10218], [204, 9706], [3621, 10333], [5183, 10709], [9868, 11265], [2497, 6396], [4122, 11258], [5757, 7039], [2185, 2337], [4363, 7937], [4927, 9965], [4381, 8516], [6607, 8118], [5633, 7912], [7935, 8852], [2174, 7813], [9455, 9756], [460, 2879], [4006, 9770], [4475, 8528], [2572, 7859], [676, 1191], [2823, 5226], [4815, 5186], [3380, 3831], [11187, 11482], [9377, 11004], [475, 908], [4337, 5561], [1632, 9866], [4715, 11371], [1315, 7715], [6803, 11039], [9616, 10239], [3365, 5401], [9748, 10358], [8683, 10034], [1030, 2069], [3055, 4421], [3614, 6105], [4820, 5156], [6268, 10880], [558, 3013], [4730, 8646], [2491, 5776], [2931, 5294], [6807, 10407], [9921, 11225], [10074, 11467], [5724, 7225], [803, 3194], [4963, 7312], [1764, 8830], [2297, 11545], [298, 8162], [1268, 10878], [5336, 6362], [1091, 8737], [3866, 5171], [6512, 10085], [1624, 5036], [344, 586], [543, 4179], [786, 1685], [3334, 6064], [7162, 7723], [2845, 2867], [9, 4245], [3966, 5752], [4494, 8123], [2154, 10863], [13, 10780], [2157, 8882], [378, 3553], [1300, 9261], [6563, 10023], [873, 9948], [8099, 9178], [3636, 9031], [659, 8676], [5258, 10212], [1583, 4631], [7596, 10809], [8305, 9054], [1746, 6315], [6572, 11240], [2517, 6192], [3795, 6809], [6935, 8848], [2515, 3113], [4261, 6050], [183, 5714], [456, 4560], [8668, 10799], [868, 9200], [1553, 3641], [4373, 9674], [4529, 10187], [3787, 9550], [702, 7218], [2918, 6886], [4506, 8483], [9969, 10087], [2630, 9637], [1100, 5012], [6769, 7216], [1373, 6864], [7415, 11528], [1744, 8497], [5632, 8709], [3149, 4725], [437, 5607], [6168, 8689], [2799, 5100], [3669, 4202], [6325, 9804], [6005, 10388], [5320, 10285], [6745, 8700], [4296, 4300], [9791, 10323], [4259, 10834], [2567, 8133], [299, 6023], [1913, 3179], [3434, 7718], [1976, 4659], [7547, 9738], [5458, 5681], [1442, 4725], [4248, 6888], [2725, 5686], [4614, 11183], [9163, 11104], [565, 7835], [9064, 10344], [1843, 2036], [4210, 9787], [5800, 6549], [5736, 9008], [1088, 6075], [3266, 5259], [4673, 8730], [9802, 10458], [6414, 11323], [160, 552], [3272, 6205], [1515, 5361], [5606, 10066], [2454, 6512], [5824, 11457], [8773, 9764], [5438, 11421], [8085, 8609], [6552, 10102], [5841, 8778], [6458, 8188], [4889, 5887], [7755, 8855], [977, 10916], [6624, 8665], [3805, 11148], [2501, 2894], [3122, 5456], [1403, 6594], [3213, 4820], [4611, 7047], [6223, 10950], [4069, 6498], [2388, 3956], [9622, 10217], [1214, 1410], [7148, 10513], [6282, 11530], [3886, 4512], [9391, 11223], [2443, 10429], [1796, 6646], [506, 8678], [361, 5291], [304, 4757], [493, 7662], [354, 4120], [8636, 8846], [362, 2483], [1033, 10824], [360, 5820], [6703, 9466], [5612, 7921], [2348, 8290], [4014, 5636], [8670, 11059], [1095, 2253], [5261, 10323], [1493, 8715], [2269, 2520], [4137, 7140], [7714, 9180], [685, 9710], [4699, 6089], [3198, 8618], [4724, 7085], [6630, 8025], [2169, 2289], [2989, 8444], [4293, 10282], [21, 7451], [3257, 9198], [2512, 9044], [4348, 8491], [772, 2889], [2353, 7479], [3843, 6289], [3510, 10775], [10760, 11153], [1600, 1765], [5027, 7244], [825, 9316], [1906, 3757], [3686, 5524], [5886, 6187], [6908, 9847], [8754, 9982], [7124, 7378], [119, 10214], [2180, 8059], [5418, 10633], [2388, 8762], [182, 8284], [3351, 8809], [5353, 9457], [1244, 7556], [4904, 4935], [3600, 8732], [954, 1566], [1358, 5591], [1111, 11349], [5022, 6095], [2850, 10863], [190, 1355], [4735, 6038], [514, 3896], [2723, 8809], [5607, 5967], [1744, 7505], [2623, 4441], [283, 7181], [9133, 11425], [336, 4563], [4888, 10417], [160, 6781], [5443, 8195], [8273, 11506], [1580, 9733], [10291, 10435], [5568, 7143], [2453, 6854], [7332, 10659], [3512, 8861], [1105, 9625], [3264, 8759], [4222, 4298], [3850, 8102], [6276, 11552], [2575, 11166], [975, 8054], [7805, 9536], [3091, 9770], [5455, 11588], [3750, 4488], [4025, 6413], [1129, 5488], [5239, 10243], [1820, 8789], [2462, 5812], [1009, 10267], [3765, 8933], [4860, 10597], [2747, 6146], [2055, 4872], [995, 9056], [4145, 5367], [339, 7439], [3140, 5848], [1309, 4493], [7280, 10445], [55, 11063], [5619, 8555], [361, 1721], [11157, 11242], [1202, 2337], [856, 1700], [3044, 5736], [329, 2937], [2346, 10309], [4598, 5470], [2442, 10771], [2590, 4253], [5298, 6635], [286, 3240], [1256, 5956], [4430, 6825], [5491, 9659], [531, 2290], [6981, 8469], [8712, 10374], [2210, 8169], [7065, 7416], [10805, 11140], [4242, 10911], [9717, 9866], [4648, 5183], [9216, 11570], [653, 5104], [3238, 5578], [7656, 8234], [1061, 5838], [1085, 3980], [747, 7368], [2077, 8929], [1860, 10392], [2980, 4007], [1698, 5900], [2577, 2836], [4843, 8283], [7856, 8295], [3196, 8735], [2035, 2287], [2604, 4659], [16, 10303], [5871, 8725], [5926, 8432], [3810, 4464], [4436, 7370], [1944, 6306], [1104, 2128], [8041, 10677], [2002, 3278], [7578, 8701], [3958, 6964], [6287, 9727], [6636, 10635], [5765, 11308], [3208, 9095], [1773, 10746], [1496, 5742], [1329, 6568], [9393, 9903], [8211, 8994], [1891, 7769], [2770, 8869], [9712, 11346], [5660, 10733], [3325, 7401], [1110, 11341], [4971, 6724], [1418, 9242], [4310, 7015], [547, 5751], [1981, 11045], [7834, 9394], [614, 10356], [4026, 10639], [537, 2030], [421, 10715], [1317, 8786], [1100, 10249], [2774, 5204], [1416, 8765], [2655, 3792], [5858, 9563], [1806, 8196], [32, 9627], [1999, 5558], [5636, 7649], [6405, 10082], [7119, 9425], [6398, 8911], [6525, 8686], [2967, 4444], [3378, 8859], [6456, 10020], [5332, 6083], [7224, 8845], [2783, 8649], [715, 9633], [5293, 10292], [9718, 9955], [3803, 5066], [7507, 8379], [630, 635], [1003, 9511], [3116, 8300], [2801, 2812], [1412, 4054], [2990, 4963], [4330, 7212], [876, 7457], [2027, 6801], [812, 9916], [4976, 5108], [461, 8935], [2323, 3187], [765, 9346], [4629, 10662], [4947, 10005], [3111, 3388], [5695, 7424], [7273, 9087], [984, 7175], [2510, 8648], [6457, 9467], [1455, 6760], [2720, 3008], [2783, 7494], [8514, 10576], [1487, 5517], [9448, 11383], [3187, 5857], [7581, 10371], [3464, 3691], [81, 2648], [1891, 3126], [3157, 9398], [1424, 10830], [1753, 9608], [4367, 5939], [9328, 9746], [8, 3109], [1035, 7113], [3218, 10805], [1568, 7576], [5993, 7239], [193, 6272], [2911, 9342], [4683, 11248], [1569, 4014], [2529, 6796], [793, 4547], [1094, 1277], [4428, 9975], [412, 11271], [1382, 7571], [6301, 8523], [1590, 8274], [10516, 10850], [6882, 8276], [5569, 7850], [2300, 3711], [211, 10234], [7121, 7538], [5602, 7209], [1741, 5410], [2849, 8090], [1613, 10328], [1924, 7746], [931, 9742], [861, 1833], [5711, 7152], [3472, 10698], [10631, 10958], [5841, 6444], [4721, 6413], [2386, 3081], [1606, 6124], [6587, 7954], [2915, 9060], [47, 9429], [3323, 4159], [3684, 11520], [3940, 9231], [3625, 3743], [2938, 6977], [4999, 5576], [8036, 10146], [7294, 9509], [4558, 11495], [4897, 10961], [2751, 10534], [163, 9762], [3981, 8481], [10147, 10737], [3793, 8430], [5854, 7029], [1153, 7468], [5487, 5515], [8284, 9844], [3053, 7839], [3395, 10986], [5009, 5890], [1425, 6843], [2333, 8681], [5664, 7282], [1366, 5482], [2020, 4020], [932, 6156], [2203, 6356], [5687, 8205], [4622, 7881], [3670, 9878], [1803, 8866], [9518, 11293], [2696, 9672], [8699, 10998], [1980, 3840], [2417, 3841], [5341, 10951], [520, 11288], [3689, 4643], [9752, 10184], [10106, 11436], [6395, 10362], [7448, 9171], [5956, 7282], [7671, 10906], [2747, 9610], [1343, 3404], [30, 10148], [2159, 5653], [7531, 7893], [5944, 9150], [2838, 5941], [1315, 11155], [2647, 2963], [3612, 5335], [628, 7973], [5382, 6414], [4984, 9751], [1364, 11047], [1180, 2070], [4237, 8770], [10799, 11026], [584, 7674], [1962, 5489], [7280, 10876], [4169, 7323], [2331, 11213], [824, 10544], [579, 9959], [457, 2614], [3015, 7681], [1663, 8081], [3909, 11341], [7302, 11574], [4064, 6748], [8323, 10845], [6616, 11246], [3280, 5885], [1442, 9775], [3589, 6640], [2185, 6850], [6390, 9213], [597, 1089], [7453, 8710], [31, 2398], [3962, 5690], [3429, 5227], [8385, 8690], [4577, 9935], [594, 11371], [3085, 8046], [2310, 11433], [3586, 9725], [4670, 7847], [9872, 10585], [2290, 7024], [4297, 8016], [3022, 11080], [1494, 3118], [2017, 5145], [2824, 3925], [2855, 5490], [1514, 10186], [3356, 7169], [1107, 5109], [4407, 9315], [6308, 9157], [1009, 2322], [4400, 8144], [3932, 5824], [3042, 8699], [5735, 9295], [1475, 1563], [8950, 10919], [2315, 8370], [660, 1387], [8500, 9178], [3004, 9346], [4114, 4525], [8102, 8351], [827, 9606], [5519, 11333], [2472, 6075], [6816, 10502], [7194, 9142], [9, 3497], [3742, 6050], [934, 6470], [960, 1275], [2713, 5383], [3179, 4624], [5656, 10291], [1714, 7564], [7500, 9599], [3269, 6769], [5383, 8412], [4008, 7108], [3982, 5887], [44, 2178], [5165, 10404], [733, 8816], [2256, 3602], [26, 4982], [1980, 10874], [490, 9812], [5474, 11159], [7729, 11529], [2409, 10233], [4871, 6924], [5060, 9075], [8726, 10406], [9445, 10093], [7234, 8517], [4550, 7283], [5023, 9947], [1666, 2955], [2595, 10588], [410, 10233], [40, 5038], [1413, 9679], [1184, 3211], [7546, 9543], [2226, 8247], [688, 5259], [3145, 3858], [4930, 10133], [8569, 9641], [3576, 10460], [1652, 8160], [217, 9811], [5843, 5929], [3573, 9408], [8934, 11459], [3979, 4434], [4385, 5122], [4223, 4794], [3142, 11107], [3574, 6600], [62, 2703], [5242, 7402], [3600, 11204], [274, 10695], [7304, 8855], [3839, 11220], [4659, 10959], [3420, 9516], [3682, 7072], [1204, 7596], [2109, 5753], [6651, 10919], [3169, 5733], [8952, 9005], [824, 1713], [9037, 10052], [565, 3704], [3271, 8669], [2901, 3474], [6333, 9297], [447, 5146], [6145, 9246], [5739, 8558], [5916, 9948], [4527, 11190], [45, 10993], [3638, 7150], [1525, 9115], [910, 9751], [4894, 9671], [1807, 11430], [3015, 7144], [2151, 4824], [7247, 11330], [1904, 8330], [488, 609], [8299, 9914], [8242, 9380], [1735, 6077], [337, 10239], [1796, 9736], [1109, 6554], [8142, 9149], [6392, 8722], [1173, 7478], [6899, 10216], [1732, 9162], [3864, 4995], [112, 8027], [3374, 4579], [3160, 10477], [412, 5286], [5135, 8578], [8568, 10839], [2670, 9337], [471, 5866], [2494, 11555], [6107, 9088], [4677, 11083], [190, 3372], [5940, 10668], [8094, 8704], [1764, 7545], [6495, 8446], [3765, 8722], [3830, 9117], [3546, 9358], [5334, 5381], [9139, 9500], [4882, 7701], [2814, 8685], [10909, 11333], [114, 11082], [4129, 6151], [410, 10851], [637, 3660], [4778, 9980], [788, 10245], [1936, 8537], [3452, 8568], [4114, 7721], [708, 10666], [7070, 10582], [721, 8619], [1743, 5863], [7529, 8652], [3921, 4293], [2302, 7547], [2238, 5842], [3733, 4996], [1137, 3609], [188, 11539], [4417, 5628], [794, 5872], [8858, 9207], [8615, 9449], [3937, 5176], [7987, 9880], [726, 4425], [406, 2757], [6601, 10669], [4054, 9898], [2247, 2521], [1443, 10832], [4013, 6110], [3584, 7882], [1958, 5801], [6342, 9627], [717, 7695], [7532, 8145], [438, 8280], [3399, 8102], [1620, 9189], [2552, 9169], [1833, 3820], [1918, 9785], [8168, 10988], [269, 3748], [4717, 7744], [3526, 9755], [3151, 3462], [296, 4790], [907, 6664], [6264, 7061], [4896, 6928], [1291, 9256], [9223, 10220], [2587, 4817], [3645, 3970], [6630, 8350], [9967, 10903], [5519, 9536], [3, 4164], [4170, 10207], [1020, 1064], [1812, 11587], [4856, 6748], [6597, 9341], [752, 5191], [100, 1064], [1965, 6167], [6510, 10850], [367, 8763], [4536, 8463], [866, 3980], [4912, 11194], [9300, 10975], [4539, 4947], [7455, 11442], [2161, 4951], [4996, 6354], [445, 10524], [99, 3471], [2124, 5823], [1356, 3211], [6581, 7653], [7668, 9456], [4772, 10783], [94, 6510], [257, 7440], [6420, 10933], [7913, 9260], [1753, 10202], [2113, 4129], [1309, 6778], [4607, 9403], [5068, 10552], [5536, 5702], [2236, 6414], [780, 6434], [3333, 11157], [11203, 11243], [4792, 8402], [4735, 7868], [535, 6603], [6469, 9290], [6809, 10112], [2332, 10259], [735, 5910], [427, 5757], [2980, 10480], [3659, 10768], [3846, 6430], [2507, 11199], [2344, 3853], [138, 4873], [6982, 10979], [951, 1189], [903, 7564], [435, 5998], [1250, 5393], [4214, 11148], [8316, 9626], [4039, 5697], [6814, 9301], [6920, 10451], [6349, 11416], [303, 2846], [7620, 10862], [1343, 4803], [1701, 8483], [7802, 10344], [7752, 10981], [121, 6747], [3445, 4177], [838, 3355], [1278, 10043], [5564, 10328], [82, 10956], [1761, 5501], [6874, 9702], [8543, 10729], [7144, 11283], [8300, 10971], [1832, 7596], [2316, 4033], [707, 805], [2233, 8694], [8384, 9918], [7241, 8183], [3473, 6575], [7764, 7958], [1296, 10999], [1409, 2016], [5586, 7993], [2993, 6877], [5794, 8696], [7111, 9241], [2722, 5071], [9129, 10422], [4303, 10415], [7247, 8378], [2589, 5481], [774, 4659], [6, 8463], [431, 7703], [6654, 10493], [1962, 2350], [6597, 9959], [6002, 6366], [3266, 4942], [2581, 11255], [2512, 6954], [459, 8970], [3580, 3789], [1049, 9967], [2857, 9618], [10546, 11578], [8799, 10668], [1865, 5800], [270, 3032], [4695, 6859], [8590, 10494], [1417, 11302], [1133, 11543], [7139, 10134], [6743, 10134], [1915, 2130], [3465, 8161], [5995, 8928], [197, 4624], [2010, 9537], [1695, 4049], [6519, 7393], [8260, 9986], [7854, 9298], [3186, 5713], [5082, 5965], [2804, 3167], [374, 9397], [1869, 8551], [3522, 9045], [1681, 9254], [5631, 9590], [3210, 7238], [5202, 7198], [5104, 10827], [8777, 9165], [1124, 1200], [7383, 10063], [10151, 10244], [6164, 9272], [3521, 8793], [4730, 11525], [3543, 3856], [10569, 10942], [951, 11256], [4031, 6828], [180, 5717], [445, 538], [5683, 9349], [1197, 5246], [2995, 8373], [4999, 6438], [6950, 9807], [6102, 8020], [6167, 9169], [6235, 6829], [1187, 7941], [1722, 5067], [4826, 7449], [5540, 6038], [5426, 9134], [10087, 11548], [6202, 10853], [3423, 10513], [3340, 8758], [1778, 1966], [1744, 5765], [997, 11200], [118, 7848], [2549, 4472], [613, 7827], [9453, 10629], [4506, 7629], [2455, 4056], [3945, 10036], [151, 7207], [7432, 9150], [484, 8356], [2855, 4929], [394, 9594], [3876, 10616], [11071, 11287], [4925, 9683], [3559, 6967], [1754, 2669], [5281, 5346], [8042, 10018], [4434, 6413], [9065, 10116], [3528, 10283], [2657, 5294], [5514, 10428], [6412, 11578], [1128, 5775], [3031, 7198], [1589, 11088], [9524, 11569], [2772, 8435], [6220, 8375], [8212, 8335], [3914, 9945], [4603, 10921], [778, 8779], [1182, 9394], [583, 1895], [1450, 1480], [2912, 11074], [6814, 9464], [6498, 10167], [6369, 8067], [6427, 11455], [6680, 9649], [944, 2813], [5403, 5470], [315, 3019], [3372, 9719], [2752, 10011], [471, 3532], [780, 10703], [6793, 10465], [7944, 9809], [1786, 7414], [1686, 10216], [9683, 11575], [900, 2891], [1746, 3851], [5233, 9381], [8285, 9321], [4913, 7713], [63, 2367], [302, 8045], [1052, 2881], [1019, 6905], [3949, 5162], [4689, 5726], [888, 8142], [5025, 9058], [5147, 9987], [10352, 10744], [10125, 11519], [5519, 8812], [2568, 9678], [792, 8030], [6267, 6985], [3994, 10947], [3803, 7969], [976, 10591], [4147, 7779], [2777, 6819], [1125, 7681], [2835, 4545], [3237, 8497], [1830, 2774], [1556, 10119], [4272, 10110], [2025, 8877], [6416, 7458], [6815, 6975], [3212, 10130], [5943, 10429], [6965, 7673], [409, 8615], [6001, 8155], [2491, 5085], [3293, 5773], [110, 654], [3756, 4716], [4196, 4988], [3695, 6692], [1417, 3894], [4187, 7154], [448, 10448], [6246, 8336], [3937, 6225], [5869, 6134], [487, 3960], [974, 9740], [6388, 10671], [4526, 10003], [4615, 8540], [4492, 7386], [2057, 6856], [7483, 9302], [9873, 10089], [2930, 10393], [3983, 9202], [10617, 10772], [932, 9864], [225, 1866], [1995, 9361], [7967, 9122], [548, 6491], [737, 9396], [6941, 7972], [3698, 9218], [4544, 10178], [3856, 4142], [3381, 7067], [215, 4561], [4762, 9317], [1104, 1461], [4761, 5682], [6674, 7069], [4779, 10425], [4908, 6109], [1138, 10090], [4865, 5281], [8022, 9179], [7201, 9215], [697, 6183], [2823, 9341], [2071, 7262], [2196, 6210], [5730, 7422], [566, 4387], [4950, 8213], [6312, 7777], [841, 3279], [8714, 9298], [7805, 9487], [1554, 11065], [584, 1933], [489, 4325], [124, 3638], [2364, 3700], [6125, 8301], [9356, 9704], [8213, 8723], [3196, 4230], [1076, 5024], [4508, 10847], [267, 3165], [4585, 8623], [509, 2698], [8602, 10935], [238, 892], [1516, 8679], [317, 5911], [3682, 4096], [6080, 11160], [4834, 6294], [5546, 10472], [6924, 9041], [8543, 10705], [341, 1020], [2832, 4865], [591, 10994], [5112, 11119], [532, 1719], [5481, 10427], [6279, 7963], [4808, 6951], [4324, 11268], [5721, 6100], [3345, 9183], [139, 7278], [7539, 10633], [1756, 7361], [11057, 11312], [1100, 5744], [6599, 9257], [976, 3988], [2875, 7921], [5583, 9549], [9975, 10984], [1374, 10450], [130, 8663], [7012, 10335], [844, 7252], [1589, 5908], [216, 1267], [5885, 7635], [7693, 11450], [6423, 10694], [811, 9024], [2467, 9789], [3768, 5694], [3986, 7085], [3617, 4744], [28, 5353], [1903, 10390], [403, 4476], [334, 8843], [1989, 3748], [401, 7032], [4909, 6952], [4102, 5166], [5246, 9755], [1512, 9229], [803, 8732], [2319, 8763], [3995, 6797], [1918, 2003], [7678, 9987], [8977, 11481], [4190, 10648], [5028, 7583], [7146, 10126], [1731, 5560], [795, 8090], [361, 11016], [2596, 10734], [4970, 6824], [2374, 5437], [4901, 8939], [1482, 8239], [732, 6987], [2256, 11043], [565, 8567], [2935, 7167], [8587, 10922], [9712, 11297], [7318, 11522], [3139, 3964], [1155, 8783], [3977, 5063], [4117, 11459], [2405, 7352], [4105, 9944], [7806, 8078], [1742, 10980], [1403, 5098], [312, 10723], [1960, 10119], [8111, 11343], [962, 5355], [6994, 11583], [7030, 11240], [22, 10395], [2601, 9923], [182, 1982], [3284, 6947], [6896, 11425], [5647, 9294], [6089, 6229], [5927, 11563], [7921, 8186], [4710, 8189], [2449, 7250], [2504, 6957], [228, 822], [570, 4723], [6017, 7292], [7584, 8766], [5423, 7307], [9010, 10035], [1541, 4631], [7193, 8386], [2523, 8138], [105, 5303], [3465, 9560], [6199, 10157], [3489, 7702], [4046, 8559], [7072, 7278], [5661, 6317], [6970, 9253], [1831, 3831], [800, 9507], [3828, 7518], [8981, 10394], [889, 11427], [10980, 11525], [2950, 7020], [8012, 10532], [9548, 9687], [4037, 4659], [515, 6490], [427, 4391], [5430, 10706], [3475, 9093], [442, 1289], [2664, 10571], [1382, 5294], [2404, 2538], [2343, 10930], [5459, 6159], [3303, 6542], [755, 2917], [1942, 4170], [1434, 8867], [1432, 8794], [1463, 8107], [1058, 10273], [6258, 9932], [8216, 11062], [2588, 5449], [2180, 9596], [2356, 5880], [9706, 9872], [4859, 10486], [5203, 11050], [5506, 8607], [8961, 11216], [5687, 10116], [830, 3626], [4109, 9207], [3319, 10808], [4100, 11373], [146, 7131], [5056, 10249], [4683, 8166], [550, 8123], [2123, 2272], [3786, 9870], [9445, 11386], [4557, 9747], [7351, 11149], [8130, 10133], [9007, 11160], [9377, 9939], [7723, 9974], [446, 3986], [5948, 11180], [5139, 9321], [373, 8611], [3852, 10116], [4583, 11318], [4614, 6467], [1051, 1881], [777, 2810], [1800, 9324], [155, 6439], [1058, 6435], [841, 7898], [6712, 6853], [2696, 7395], [7002, 9810], [8127, 10185], [894, 6778], [581, 2117], [7275, 10908], [140, 8790], [1462, 9679], [6247, 7433], [3220, 9243], [3989, 6041], [5181, 7638], [6743, 8768], [1452, 5958], [7083, 11088], [511, 1728], [4022, 7652], [1291, 4320], [4615, 8166], [8947, 9550], [480, 5798], [2436, 3095], [2274, 11435], [970, 2427], [2936, 10588], [1969, 10799], [6379, 9430], [3144, 10537], [1057, 7307], [1690, 4968], [2795, 3967], [2048, 2986], [7350, 9338], [2923, 8848], [1402, 8473], [3580, 11067], [10297, 10982], [3984, 5266], [2828, 3326], [7156, 9472], [2507, 3685], [2732, 6247], [4628, 6499], [951, 6507], [5849, 6582], [4655, 10574], [3225, 10317], [3999, 8957], [5160, 9743], [4043, 9229], [1011, 10695], [4318, 4738], [7021, 10186], [3590, 7971], [2571, 7992], [6420, 9030], [7508, 9523], [443, 8144], [3550, 7791], [7569, 10930], [4740, 6309], [9900, 10356], [3962, 10179], [6192, 8799], [9276, 10906], [6072, 7916], [11237, 11553], [1249, 6672], [4351, 5975], [1794, 3762], [5782, 7588], [5224, 9512], [952, 5927], [3608, 11529], [2082, 4394], [4933, 6330], [3138, 6884], [9522, 10531], [1291, 2360], [5716, 6187], [1829, 9583], [454, 9033], [1414, 11061], [3680, 10092], [3344, 10143], [2726, 11262], [9753, 9905], [4216, 10072], [911, 6276], [3741, 6581], [2345, 11570], [1745, 3469], [5953, 8759], [2811, 6647], [5196, 7090], [5134, 6212], [2071, 6083], [1974, 6150], [6814, 10781], [7004, 7872], [813, 9501], [4080, 7151], [2151, 4507], [1466, 4404], [3262, 6704], [7778, 10649], [7308, 7502], [374, 9804], [3129, 4862], [2480, 6668], [4668, 10704], [5599, 7830], [4842, 5407], [1910, 4071], [2104, 7320], [84, 5312], [4993, 5576], [1419, 7217], [8860, 11327], [2698, 11442], [5644, 10232], [9883, 11425], [9255, 11102], [633, 3275], [1567, 11252], [9536, 10563], [1062, 9050], [2720, 9888], [1994, 9784], [5486, 9242], [8791, 9628], [5135, 8261], [1279, 10970], [200, 6776], [400, 3454], [1561, 3486], [4298, 8518], [3587, 8692], [1655, 7285], [803, 8008], [5944, 7841], [4416, 5541], [4168, 8445], [8647, 9125], [4476, 6346], [6716, 9818], [1645, 11478], [2679, 10237], [150, 5908], [905, 5252], [9989, 10666], [528, 3050], [6159, 8180], [2353, 10252], [460, 3855], [7147, 9223], [8774, 10748], [2635, 6151], [455, 6894], [6893, 11558], [6580, 6897], [7772, 8494], [1193, 4379], [1998, 9502], [1848, 5771], [874, 5565], [6641, 8304], [7606, 10676], [5400, 6034], [5230, 7343], [5949, 7030], [68, 7387], [3583, 10801], [1752, 3030], [2443, 6331], [4981, 10022], [4329, 5895], [3551, 9011], [3236, 3523], [6004, 10120], [963, 1823], [2368, 10883], [1186, 9974], [307, 6622], [1179, 6551], [9709, 10625], [6934, 7775], [6125, 11578], [2636, 2969], [1488, 7306], [5569, 7159], [2895, 4361], [7622, 8526], [10385, 10615], [684, 9174], [2169, 7640], [496, 9123], [4290, 9700], [1728, 10149], [6802, 8006], [3091, 6932], [9136, 11113], [4186, 8596], [5123, 9674], [6582, 9171], [9758, 10867], [949, 962], [10898, 11550], [9258, 9763], [791, 3005], [3530, 3946], [8220, 11262], [5611, 9613], [470, 3364], [1003, 10243], [4386, 5624], [8587, 9743], [1863, 5247], [1305, 10581], [1582, 9169], [771, 3477], [86, 3374], [583, 4180], [3790, 7441], [7461, 9116], [1153, 10160], [685, 7840], [2793, 5531], [3161, 10653], [186, 10371], [21, 2198], [4193, 7831], [6593, 10060], [9077, 9728], [10298, 10565], [4412, 10578], [5315, 5656], [2044, 11270], [7020, 8592], [3286, 5814], [4896, 9644], [7079, 9172], [8231, 11370], [2428, 6722], [7696, 7828], [6481, 10943], [2093, 8129], [7483, 10164], [8032, 11160], [2022, 9417], [5423, 9511], [748, 11171], [10555, 10756], [3203, 5937], [1866, 8123], [1528, 11511], [2175, 8878], [7691, 7834], [1244, 5336], [5946, 7751], [8809, 11202], [3475, 7564], [8156, 9102], [10166, 10422], [6096, 8449], [2691, 10865], [8551, 9631], [924, 7051], [6237, 7176], [2952, 8920], [7307, 7844], [10949, 11033], [9767, 10124], [7355, 10544], [3465, 3843], [2573, 5891], [3815, 5353], [1167, 3776], [8479, 11448], [3190, 5301], [2341, 9705], [2134, 6194], [251, 6177], [4867, 7320], [7754, 11165], [9629, 9786], [899, 11316], [8249, 8892], [30, 2236], [2891, 4860], [88, 1460], [9839, 10535], [1245, 4756], [2766, 9295], [2391, 3002], [4071, 8325], [3663, 6056], [6970, 10652], [6836, 7454], [1177, 6692], [3532, 4260], [913, 1169], [6826, 10149], [2251, 2591], [1597, 1801], [132, 11157], [3210, 11564], [5858, 6725], [5889, 6038], [127, 4397], [8934, 11223], [5818, 7326], [3149, 7124], [379, 4618], [5852, 6910], [3240, 7242], [4261, 10677], [3139, 3403], [2951, 10522], [2431, 8012], [6249, 6731], [337, 1359], [2239, 11225], [4758, 8450], [2705, 10466], [5198, 8722], [3885, 8296], [5225, 10545], [1137, 9521], [2642, 9363], [7863, 10653], [8792, 11116], [237, 10927], [1691, 3664], [3931, 7890], [753, 9531], [2532, 8444], [3526, 3640], [2440, 8855], [4336, 9107], [3462, 8351], [757, 3988], [2873, 7956], [5878, 7326], [4516, 4729], [2736, 5591], [4790, 8681], [624, 10410], [7057, 10566], [2824, 11073], [1174, 4434], [1676, 9748], [1977, 6478], [6813, 11337], [3907, 5560], [4399, 5268], [3447, 7265], [856, 2058], [6611, 9698], [1226, 1591], [1232, 11205], [3443, 10529], [1542, 3517], [1411, 7006], [2443, 10600], [7393, 10865], [2314, 8500], [11094, 11251], [4179, 6433], [6073, 10022], [68, 8623], [2963, 10077], [4675, 7768], [1621, 4749], [5182, 9262], [4791, 8882], [1685, 5673], [434, 9131], [8689, 9028], [9429, 9592], [736, 801], [5130, 5315], [7435, 9936], [1896, 9276], [5284, 9165], [1426, 4631], [1671, 3681], [8682, 8961], [3844, 6685], [4192, 7368], [517, 1787], [1940, 5791], [6425, 10423], [5031, 11321], [2188, 2860], [3495, 9133], [564, 4235], [6885, 8314], [8569, 10373], [868, 4646], [9457, 10835], [439, 8670], [7010, 7262], [9714, 11400], [3455, 6701], [2990, 10314], [306, 412], [4015, 11239], [6286, 10614], [8990, 9090], [5217, 7138], [4666, 9479], [7807, 7956], [6332, 9454], [1165, 4990], [9446, 9491], [5857, 10100], [6920, 9597], [1034, 3194], [10583, 10657], [1694, 11346], [445, 9215], [228, 4262], [5978, 11558], [3330, 9981], [8075, 9060], [1525, 9847], [1913, 9929], [1029, 5479], [1557, 7850], [3699, 5125], [2303, 9360], [808, 3790], [618, 10082], [404, 9564], [5903, 5907], [3814, 6014], [6563, 8397], [7184, 10959], [1422, 2148], [5351, 8777], [492, 2214], [5065, 8191], [6653, 10542], [7520, 10127], [4058, 5593], [978, 8523], [802, 6577], [5065, 5158], [320, 6079], [4815, 11399], [1295, 3477], [4304, 5999], [8443, 9994], [5862, 9639], [4468, 10537], [7348, 10959], [192, 10216], [724, 1409], [2561, 10126], [7786, 8152], [4730, 11476], [6166, 7017], [1224, 11531], [4385, 7277], [7556, 8629], [4756, 9664], [4453, 9855], [9370, 9980], [3701, 8530], [6710, 6888], [7346, 10482], [3115, 7652], [10450, 10612], [2762, 10008], [3877, 9695], [3639, 10281], [3906, 8181], [4248, 11328], [4191, 10794], [609, 1994], [4817, 8038], [2938, 11173], [9538, 10503], [5648, 7966], [9443, 11397], [1912, 4361], [5952, 8377], [1509, 7354], [953, 9351], [7290, 9799], [3788, 6590], [7912, 8799], [5978, 6565], [781, 3390], [2936, 5034], [4298, 8762], [937, 11450], [189, 445], [1209, 2524], [3392, 6216], [7368, 8527], [3043, 5281], [2767, 9547], [1322, 9756], [2884, 4470], [4090, 9937], [1074, 3238], [4346, 7648], [7026, 11392], [5653, 7505], [6181, 9876], [3815, 11395], [1038, 6964], [9, 2887], [4406, 11082], [1220, 2282], [4554, 5318], [409, 10176], [6923, 7480], [5512, 6519], [4460, 4902], [2712, 5302], [2435, 2550], [408, 3535], [1686, 11322], [5353, 5708], [9686, 9946], [7850, 10499], [1217, 9531], [3548, 8957], [1860, 9408], [3862, 10810], [5887, 5992], [6071, 8553], [2771, 2849], [2050, 2335], [4980, 7762], [1833, 4552], [7440, 9288], [8185, 10196], [1432, 10624], [6096, 10303], [3689, 11067], [516, 7390], [7460, 10694], [2355, 6354], [7515, 10401], [3757, 9481], [2415, 11323], [6797, 7906], [5554, 8973], [9261, 10305], [8292, 10443], [603, 6985], [1015, 10871], [3341, 10707], [786, 9321], [2219, 7597], [10054, 10880], [5327, 10098], [687, 2145], [3675, 6796], [4480, 11165], [8470, 9402], [1089, 6097], [1797, 11287], [2464, 3614], [9427, 11132], [9810, 10870], [2849, 9871], [5168, 6254], [743, 2427], [4815, 10862], [9987, 10008], [235, 7124], [10697, 11107], [10296, 10763], [1896, 7479], [6775, 9032], [3444, 4015], [3347, 10498], [7452, 8493], [3844, 4888], [1574, 9121], [8847, 10449], [6199, 8872], [4122, 6330], [6898, 10536], [4400, 6274], [2784, 8291], [2371, 6432], [137, 10322], [6818, 8328], [6857, 7502], [90, 9752], [1463, 7977], [4820, 7799], [4444, 8451], [3389, 9569], [3239, 5838], [4020, 6403], [3731, 6300], [5657, 7892], [8062, 10465], [2565, 2891], [6067, 9453], [4978, 5325], [4713, 9780], [4246, 4652], [9488, 10953], [319, 8649], [422, 5364], [1379, 1459], [9979, 11190], [201, 10091], [9258, 11430], [814, 2212], [2726, 10514], [5510, 10474], [4863, 6691], [1840, 5991], [2719, 2927], [5109, 10130], [1599, 2896], [637, 10621], [5664, 7908], [1068, 6643], [7343, 9623], [6730, 11086], [2515, 8789], [4200, 7286], [1713, 10730], [906, 4780], [4918, 6748], [7657, 8443], [2232, 2435], [2229, 8553], [6335, 10156], [5619, 7734], [3413, 7256], [5467, 10346], [3879, 8749], [512, 7485], [4471, 6409], [9295, 9753], [4190, 10331], [2494, 6757], [6652, 8520], [2313, 4467], [1729, 10832], [359, 10626], [44, 2886], [1349, 8332], [7657, 10671], [394, 8553], [7940, 10205], [672, 4333], [3910, 6907], [2320, 3729], [4200, 9864], [776, 2404], [1882, 4257], [2408, 3549], [3846, 8585], [5783, 8838], [1294, 6716], [1067, 7491], [206, 9606], [4380, 5486], [4065, 4162], [321, 2948], [966, 4406], [6392, 6852], [258, 2599], [5416, 5819], [9367, 9763], [292, 11228], [5227, 6297], [727, 11156], [244, 7804], [4972, 5024], [3831, 4116], [5387, 6929], [9831, 11560], [339, 1625], [5882, 11072], [4139, 7652], [3540, 7323], [1487, 2923], [4195, 8715], [1203, 3164], [4348, 9711], [6084, 7796], [1227, 1306], [3595, 10413], [4493, 11563], [598, 1512], [1134, 2246], [8227, 10554], [1560, 10756], [10159, 10463], [1281, 4925], [2065, 9171], [310, 8400], [2463, 9217], [6816, 11478], [3803, 11466], [1334, 11352], [2774, 10799], [5534, 6201], [1160, 3817], [413, 8498], [1468, 8134], [8037, 11561], [2279, 10039], [2768, 6820], [372, 5464], [430, 9606], [6285, 8028], [2352, 8073], [5992, 10435], [448, 7179], [1478, 4284], [1543, 8843], [4891, 5169], [2481, 6359], [446, 3319], [6729, 11078], [6773, 11350], [1002, 11121], [1193, 2021], [6917, 7342], [449, 11137], [33, 4843], [4365, 6227], [1906, 7555], [1116, 9156], [679, 2739], [7256, 10191], [1709, 4008], [5506, 10518], [678, 2514], [2047, 3249], [1179, 10609], [2232, 8664], [4465, 5303], [4163, 11354], [2257, 3998], [7771, 8543], [395, 3330], [4293, 9892], [7638, 8953], [9824, 9910], [6646, 11551], [11274, 11573], [823, 4716], [2248, 3131], [3180, 3865], [2128, 7910], [3053, 7473], [8414, 8770], [33, 4038], [6041, 9118], [4425, 5473], [7405, 9509], [5729, 8065], [4516, 5591], [3707, 9394], [5075, 7275], [6795, 11243], [1551, 8279], [6189, 8989], [4642, 7393], [5356, 5982], [7118, 9452], [2610, 3870], [2019, 6812], [7683, 8672], [5255, 9313], [3133, 7028], [2670, 5052], [7835, 9443], [10142, 10727], [1582, 10194], [2384, 4466], [3077, 9348], [297, 1236], [10298, 11240], [8731, 9766], [4429, 8224], [6703, 7116], [6137, 8425], [3437, 6658], [5114, 5294], [8159, 10479], [1034, 9049], [3797, 8132], [199, 5215], [8077, 11578], [3647, 5155], [340, 11112], [1907, 5416], [1217, 4969], [10704, 11554], [2366, 3486], [60, 5056], [163, 2525], [2768, 7438], [1750, 11067], [3075, 11530], [1590, 6648], [147, 1268], [3166, 7484], [6834, 8888], [4325, 10853], [1362, 10204], [10567, 11441], [3607, 8358], [142, 143], [7735, 11440], [144, 4353], [5436, 10017], [1546, 7480], [1943, 3918], [5499, 8087], [3257, 7198], [7168, 8360], [4807, 6059], [1386, 2280], [252, 10487], [8347, 8971], [9158, 10876], [7296, 10208], [3775, 9231], [6595, 8848], [5129, 8180], [1658, 7290], [7188, 10116], [309, 791], [1109, 5570], [364, 5416], [5102, 9740], [6380, 11111], [5069, 7348], [3973, 5459], [2333, 3672], [3258, 6645], [6809, 10470], [7462, 11035], [6645, 8561], [8148, 8330], [1665, 10339], [1412, 5729], [10818, 11386], [8103, 8587], [2385, 6464], [7858, 8756], [2997, 11192], [3563, 7631], [7511, 7894], [2215, 11156], [8877, 11364], [9648, 10487], [4835, 10685], [6177, 9597], [1372, 3297], [5630, 8704], [3737, 8723], [1056, 11170], [65, 407], [4474, 5983], [5110, 9577], [2139, 9067], [4831, 10916], [3513, 10146], [6410, 8263], [6348, 7385], [5994, 6887], [8854, 9286], [2885, 9796], [2949, 5085], [2257, 10227], [3692, 5166], [6995, 8135], [4223, 8966], [1817, 2758], [8040, 9712], [9225, 10892], [2033, 7486], [5049, 7769], [3029, 9925], [262, 6936], [4589, 9474], [5019, 9058], [7950, 10169], [10, 2928], [5118, 6785], [4514, 7610], [787, 6003], [6812, 8808], [1159, 4828], [4638, 6333], [622, 1213], [5226, 6503], [842, 2677], [3328, 6178], [3675, 10423], [6882, 7268], [30, 11100], [2174, 4284], [3010, 10972], [3237, 3781], [1640, 3596], [4718, 4757], [5538, 10912], [3785, 10968], [2665, 10937], [208, 2512], [2577, 4674], [2422, 7769], [6558, 11493], [7142, 7757], [1605, 8678], [5557, 5677], [2434, 7779], [1782, 2898], [7856, 10483], [8570, 9072], [7508, 9019], [5512, 11569], [5632, 10173], [4326, 6754], [6098, 9414], [657, 9289], [9673, 10627], [8227, 11335], [5504, 7894], [1211, 9848], [6958, 11211], [361, 4982], [4127, 9927], [6996, 10914], [3624, 5142], [7457, 11309], [9606, 9755], [4403, 9044], [3725, 5948], [6808, 10863], [4528, 7992], [5147, 9727], [9727, 11213], [3877, 6719], [670, 3458], [4337, 7643], [1689, 6066], [978, 11158], [8729, 9078], [1162, 7303], [4579, 7176], [5929, 10113], [1127, 10500], [532, 6907], [4204, 11436], [2423, 3028], [10266, 10336], [3609, 11226], [589, 10043], [840, 7410], [4785, 7402], [490, 615], [2320, 8161], [300, 6907], [768, 2057], [1540, 11204], [296, 3001], [1760, 7006], [1099, 11461], [1381, 10393], [1412, 5542], [6642, 8076], [6538, 6972], [4001, 6889], [3177, 9660], [7077, 11387], [2707, 11431], [7135, 8359], [34, 907], [624, 8320], [3327, 10358], [6443, 7085], [4366, 8707], [4118, 5195], [5292, 5489], [1623, 3860], [2058, 10204], [5788, 9076], [1807, 9804], [453, 2961], [4814, 11499], [2543, 6462], [7028, 10340], [3687, 4635], [304, 2838], [5063, 6541], [5961, 7691], [367, 7324], [1105, 4055], [229, 7390], [2975, 3086], [3537, 10703], [6646, 11177], [1505, 4928], [4648, 6484], [4340, 6331], [1071, 2192], [7357, 9468], [2646, 2803], [5424, 10088], [6138, 8677], [6225, 11305], [7095, 10407], [4861, 7881], [4141, 8723], [4669, 11094], [4597, 9528], [1077, 1606], [5197, 11213], [3695, 4472], [3540, 7567], [5589, 8061], [743, 5867], [8205, 10100], [8637, 10511], [6462, 10844], [3470, 5293], [3162, 11556], [6643, 9724], [6590, 9309], [5148, 6783], [6829, 9325], [3496, 7645], [1414, 4759], [3152, 3671], [1854, 5031], [3406, 4719], [2874, 11274], [9417, 10070], [8070, 10814], [976, 4533], [1000, 9091], [9229, 10019], [1436, 5457], [5331, 6840], [4830, 8544], [1533, 2357], [7878, 10994], [5849, 11152], [2604, 5155], [4037, 9847], [10513, 11585], [1803, 7321], [1185, 8440], [9917, 10019], [5249, 6434], [5094, 9529], [7895, 11348], [3752, 10617], [10111, 11016], [6093, 10731], [732, 7182], [2910, 6366], [4842, 5521], [2634, 10632], [506, 5149], [3339, 5725], [603, 8465], [1229, 11371], [567, 1638], [14, 8070], [1607, 3595], [7954, 8895], [2039, 4006], [912, 2804], [5359, 11116], [11114, 11586], [2778, 4345], [10596, 10657], [5923, 6728], [3929, 5941], [3175, 7199], [1406, 9728], [5673, 5799], [2906, 9226], [848, 10898], [1306, 5360], [478, 9867], [222, 5740], [5863, 11558], [5347, 5814], [1062, 6131], [3085, 7656], [6438, 10742], [6071, 9228], [5412, 10346], [3452, 6137], [7469, 8449], [8117, 9424], [1923, 5120], [629, 8881], [8008, 11359], [860, 8225], [5741, 6441], [1154, 7948], [6021, 8710], [1214, 8753], [3487, 4037], [1537, 7686], [11022, 11192], [3520, 9812], [1279, 10279], [4753, 11440], [2769, 4925], [3433, 4151], [1375, 9987], [1580, 7009], [1270, 8281], [2990, 9997], [6254, 7376], [2802, 10700], [459, 3343], [2766, 8791], [1145, 10464], [149, 2363], [1673, 6419], [490, 6039], [579, 4576], [3871, 9638], [4277, 8828], [918, 8179], [3375, 3772], [1195, 3761], [7454, 9214], [5181, 6760], [131, 629], [4236, 5040], [3217, 5815], [3246, 4301], [6848, 10343], [4040, 11517], [4198, 5687], [4633, 5615], [5622, 6883], [6251, 9306], [19, 2266], [3752, 11235], [7021, 8958], [5661, 9440], [6922, 8198], [1853, 4269], [613, 9771], [1663, 1893], [4964, 11205], [9873, 10715], [2321, 9972], [2756, 9900], [6899, 10631], [4497, 6077], [2707, 6251], [7039, 9887], [6987, 9697], [7469, 8717], [3056, 9788], [4570, 6740], [2577, 9561], [1625, 5142], [7124, 8655], [2542, 4090], [1544, 5742], [2363, 2627], [802, 5105], [2269, 6375], [1336, 8422], [460, 4587], [489, 3073], [7271, 8301], [7259, 10950], [3933, 5523], [3186, 10958], [7236, 9246], [4094, 10544], [5610, 11329], [173, 2278], [3965, 8444], [5303, 9866], [134, 2323], [1259, 6862], [3833, 5292], [479, 9151], [10145, 11537], [5416, 10682], [2124, 9003], [3646, 5816], [11053, 11096], [6636, 11294], [6631, 10950], [62, 6769], [331, 5496], [2423, 2654], [8959, 10105], [1464, 9896], [1298, 1498], [1196, 1221], [8518, 9581], [7326, 7984], [8827, 11090], [6251, 11079], [3691, 5185], [4534, 6628], [4087, 5939], [1167, 6118], [6557, 8153], [1191, 10676], [2971, 6027], [7637, 8785], [137, 8232], [507, 595], [1131, 2674], [1062, 11205], [1530, 7109], [4869, 6325], [573, 2346], [10252, 11353], [538, 5543], [3497, 8702], [1183, 6247], [1740, 7858], [3584, 11330], [465, 3752], [2049, 2197], [3301, 8763], [2241, 8783], [6155, 10216], [2394, 3363], [1991, 8608], [1614, 5652], [7684, 8200], [2453, 10359], [4447, 6228], [3263, 9410], [2549, 3651], [2638, 9358], [5475, 7424], [4064, 4211], [3199, 11088], [4465, 7938], [5586, 10823], [6978, 9098], [688, 7715], [4986, 6105], [282, 611], [2119, 10082], [5075, 9560], [2272, 6160], [2872, 8599], [3457, 5088], [5848, 8729], [5843, 8385], [9829, 11384], [3165, 3933], [3550, 4498], [10107, 10574], [1485, 2747], [1357, 3501], [677, 10158], [1136, 1812], [1796, 9964], [1129, 4805], [738, 5149], [2908, 3718], [8759, 11066], [6743, 9931], [1414, 4385], [3518, 4586], [1713, 4452], [5429, 5870], [6069, 6230], [1676, 5324], [8616, 11138], [6315, 6636], [7994, 8351], [8460, 9844], [1407, 9980], [5280, 8406], [1271, 4457], [1645, 5607], [740, 7450], [7591, 10563], [4661, 5890], [5719, 9207], [2885, 10658], [4542, 8642], [927, 9528], [2635, 9729], [6625, 7966], [1882, 8933], [4068, 11388], [976, 6387], [4377, 6481], [3400, 6004], [8410, 9326], [3403, 6275], [566, 1793], [784, 3184], [2036, 9750], [9257, 10888], [3885, 8678], [1275, 6804], [10084, 10293], [4700, 5040], [6651, 11415], [6214, 11414], [7530, 8351], [861, 4720], [7027, 7730], [4757, 11209], [516, 7691], [177, 1809], [5813, 7283], [3628, 7682], [206, 295], [8879, 11093], [3600, 5634], [481, 2220], [8980, 11145], [269, 11197], [5031, 7247], [2101, 2574], [229, 1218], [3248, 4428], [9266, 10950], [3471, 10327], [4237, 5696], [2375, 5028], [6509, 7925], [6789, 10194], [1627, 10238], [4084, 8083], [3585, 4952], [1754, 5849], [687, 2446], [7665, 10996], [7532, 11406], [3387, 9848], [5135, 7196], [2800, 10280], [2143, 5809], [6824, 9599], [2795, 3520], [4665, 4803], [5200, 5339], [9422, 11089], [3983, 8381], [7563, 9938], [5820, 10682], [4982, 9583], [6128, 8583], [7619, 11001], [1457, 11116], [4471, 8320], [4226, 7735], [2344, 5691], [6329, 8465], [5147, 7556], [5395, 11041], [306, 4982], [3549, 3736], [4478, 11369], [2859, 3289], [6012, 9697], [441, 4618], [8682, 9343], [2419, 6400], [4762, 7341], [1996, 7960], [6504, 7126], [733, 6897], [8554, 10474], [3793, 4446], [1138, 1698], [3407, 6662], [8897, 10813], [8040, 11192], [5120, 7961], [10472, 11424], [5625, 6376], [1850, 10013], [4279, 10728], [2629, 7499], [6331, 10739], [3750, 10384], [8633, 9427], [6324, 7316], [1244, 4726], [4296, 11082], [5791, 10236], [2487, 7042], [809, 8935], [2464, 5338], [6129, 10231], [8831, 11290], [1835, 6298], [1523, 10907], [1893, 9686], [6432, 11171], [4011, 8065], [1607, 2684], [5430, 8917], [2574, 10020], [1328, 7406], [5710, 8153], [2842, 4358], [7265, 7358], [9847, 10567], [7421, 7871], [415, 7853], [3122, 10010], [1219, 9341], [3212, 5739], [2618, 11416], [1374, 9629], [1503, 6067], [6816, 10356], [2148, 6771], [54, 2370], [2335, 2433], [4355, 4441], [4845, 8240], [340, 6339], [1204, 1489], [1014, 7781], [243, 6406], [1925, 7638], [2885, 9666], [9760, 10921], [3445, 7788], [1502, 7720], [10782, 10794], [7415, 10284], [2750, 10380], [1967, 2572], [478, 11534], [4797, 7014], [561, 10256], [8874, 10131], [4920, 11551], [252, 5714], [1492, 4349], [8990, 11245], [2508, 9692], [1450, 4123], [4507, 10823], [7053, 7959], [5344, 7533], [10067, 10825], [3718, 9616], [5096, 8185], [3227, 5592], [2010, 6382], [6834, 9726], [3159, 4899], [1072, 1669], [8568, 11148], [8881, 10147], [388, 10836], [9662, 9958], [1811, 2008], [1910, 5397], [3431, 6526], [760, 3245], [755, 2901], [4710, 10751], [1971, 2640], [9983, 11477], [5382, 9114], [6075, 7580], [3952, 8857], [953, 5545], [5068, 11398], [219, 8933], [3206, 4314], [2428, 7430], [143, 9877], [6815, 10773], [3816, 8215], [3503, 3554], [2735, 8112], [85, 3456], [1518, 1732], [1232, 7562], [1199, 11586], [5934, 9977], [232, 6135], [3710, 7415], [3620, 10905], [1970, 2014], [8506, 9465], [567, 11494], [4001, 7564], [1250, 2856], [6977, 8448], [7156, 9911], [841, 1116], [314, 8769], [2776, 6958], [441, 10042], [10048, 11067], [1361, 9261], [2082, 2605], [1089, 4601], [1345, 8728], [2059, 7317], [5096, 6225], [2757, 5403], [6688, 8695], [1772, 11424], [9260, 11216], [6376, 6888], [4473, 5465], [4812, 9849], [3069, 6429], [1978, 11300], [1166, 9170], [5431, 11584], [9942, 11021], [8075, 9255], [4183, 5891], [2090, 2092], [4801, 8155], [265, 11105], [2994, 7194], [4207, 7416], [6072, 8355], [8167, 9194], [168, 11172], [569, 11516], [1255, 2395], [2368, 7671], [4761, 7975], [1989, 8806], [3895, 8992], [3678, 4793], [8220, 9205], [207, 2425], [4604, 11374], [2515, 11481], [3661, 6317], [5259, 6350], [8024, 9266], [5374, 6862], [1800, 8503], [4878, 8910], [10198, 10960], [6934, 11329], [1573, 2862], [3252, 4577], [6806, 11329], [5646, 8489], [3748, 11574], [6807, 8521], [1641, 11075], [511, 3940], [1357, 4900], [127, 6983], [4244, 6493], [2282, 7873], [3813, 9690], [783, 5567], [8260, 10832], [1029, 1836], [1648, 10741], [7134, 10986], [3273, 9187], [1895, 4202], [8345, 10381], [5795, 5929], [1769, 5783], [1363, 4341], [5698, 5996], [5258, 11359], [3362, 4691], [1117, 5039], [7113, 8604], [6966, 11560], [4031, 10707], [7145, 7361], [5466, 9029], [2821, 4717], [1107, 6199], [3870, 6036], [7447, 8076], [2598, 8617], [6051, 8901], [5180, 9574], [2993, 9146], [2659, 3608], [234, 10182], [1158, 10301], [103, 4249], [5261, 7469], [2929, 8572], [2833, 11493], [5813, 11365], [1060, 9362], [2232, 9583], [1332, 7606], [9737, 11234], [272, 8380], [654, 8674], [4692, 5447], [3642, 6909], [108, 7225], [7062, 11217], [1766, 8063], [419, 8807], [2602, 8335], [8460, 10438], [2322, 8695], [9533, 9899], [2594, 4687], [1790, 9588], [3433, 10892], [973, 2950], [2719, 5887], [7167, 8385], [7072, 11531], [1903, 3234], [1488, 11128], [4070, 7921], [5350, 5955], [5263, 10874], [617, 11020], [216, 10676], [2864, 5837], [4502, 7551], [2883, 3635], [3920, 8327], [3299, 5765], [181, 5205], [269, 1642], [6312, 9160], [1973, 4353], [13, 2396], [4844, 7665], [11468, 11553], [2478, 9184], [386, 5610], [8135, 9873], [4470, 9144], [5267, 10242], [1321, 10025], [8881, 11383], [8757, 8873], [3339, 11206], [83, 11436], [3156, 11499], [3691, 8625], [7322, 10901], [4555, 7912], [3056, 4852], [5193, 7445], [5232, 7373], [1594, 11473], [935, 6175], [5688, 10807], [4661, 7557], [549, 6139], [559, 6827], [3823, 10622], [1087, 6946], [4215, 7470], [1207, 7802], [1233, 6771], [8521, 9885], [4261, 7815], [2234, 11052], [553, 6258], [3979, 4719], [3450, 5129], [10695, 10825], [9640, 9691], [483, 4738], [1487, 7038], [7583, 8555], [6955, 8232], [916, 1587], [5924, 7492], [6015, 7610], [886, 2876], [4285, 8559], [1033, 5555], [10557, 11241], [5830, 10459], [7251, 11384], [90, 10297], [1057, 2916], [8691, 10831], [3793, 4340], [8066, 10779], [4888, 6758], [2081, 4370], [5439, 7046], [1774, 2907], [4380, 10674], [1887, 6756], [1978, 6120], [2879, 4535], [974, 7203], [2505, 2604], [1942, 9846], [1388, 6254], [879, 3933], [4779, 5660], [1319, 4205], [5773, 6518], [3402, 9945], [859, 6664], [3068, 10823], [6855, 10229], [35, 3019], [2032, 9739], [1065, 6540], [4799, 9695], [4057, 9058], [289, 7450], [248, 7449], [2338, 3780], [2331, 6773], [1584, 5792], [4171, 9345], [2586, 11429], [2030, 9262], [1870, 4843], [1185, 11156], [1149, 5083], [8372, 11185], [2145, 10905], [6371, 6975], [1856, 10802], [1049, 9016], [8547, 9496], [338, 3528], [2721, 9560], [10666, 10729], [7710, 8999], [8398, 9373], [3751, 4413], [3028, 3072], [3993, 10362], [8012, 9337], [8199, 9163], [3927, 5578], [8720, 10363], [4207, 7847], [2958, 5716], [1091, 11120], [5800, 10542], [638, 9832], [287, 2435], [6109, 11297], [1252, 5561], [3239, 10839], [4739, 11091], [4138, 9181], [5105, 5964], [4053, 10763], [645, 3082], [211, 346], [597, 10181], [5537, 5594], [9642, 10005], [6448, 11113], [4134, 8658], [2303, 7303], [5905, 6929], [5566, 7463], [772, 5459], [1814, 9771], [828, 6522], [5890, 9280], [6456, 7971], [8257, 8363], [2064, 6913], [4680, 9706], [2397, 2400], [2094, 2591], [1994, 5393], [7291, 11401], [1092, 6753], [1873, 7318], [4734, 9942], [4637, 10009], [4673, 5502], [5796, 9214], [6288, 9676], [5352, 5790], [2738, 9459], [10391, 11008], [6437, 6766], [614, 6347], [6255, 10667], [338, 4951], [2760, 3741], [6237, 8583], [72, 9181], [366, 3212], [6269, 11504], [9725, 11305], [7822, 9882], [10597, 11234], [3622, 6365], [1980, 10167], [6020, 7767], [566, 3273], [2035, 7622], [8470, 8605], [1820, 5748], [2664, 10799], [7540, 7917], [4393, 5461], [3498, 7992], [4883, 9260], [688, 7585], [215, 5675], [7940, 8790], [5978, 10924], [708, 2575], [747, 1749], [5537, 7017], [3135, 8879], [5822, 9630], [2085, 7335], [1739, 6698], [5228, 8891], [156, 5445], [1145, 5959], [3442, 6555], [1867, 5163], [2832, 8289], [1700, 6743], [1118, 7519], [3578, 9799], [3265, 4384], [9541, 10972], [8333, 8842], [6029, 7075], [5645, 10118], [6768, 7414], [4529, 10960], [2559, 8315], [2168, 8659], [9969, 10860], [1810, 10671], [1535, 2330], [3212, 9634], [6610, 10211], [478, 6785], [913, 5959], [5610, 8784], [1279, 8002], [3577, 5036], [411, 1776], [4578, 7819], [6374, 10119], [3483, 11036], [2863, 9830], [2918, 9537], [7308, 10145], [10823, 11307], [2724, 3255], [2390, 4133], [546, 3290], [2070, 8100], [1910, 10097], [6705, 9293], [2319, 8804], [566, 4696], [5151, 6526], [7694, 9807], [6771, 11044], [544, 10764], [3581, 4754], [4706, 5129], [1688, 8937], [2130, 5118], [4203, 10170], [745, 3126], [1565, 3619], [2341, 3086], [1434, 10518], [4546, 10509], [2314, 11062], [5922, 8251], [2582, 9564], [3239, 7619], [2494, 7465], [959, 4748], [1934, 7808], [8240, 10855], [1712, 3265], [4974, 6233], [2199, 2629], [3545, 8830], [3980, 8004], [3285, 7213], [2703, 7989], [1946, 8572], [3971, 10924], [3592, 7895], [139, 5359], [8177, 8971], [1852, 5904], [73, 6991], [8608, 9157], [6674, 6923], [1321, 9651], [2790, 3420], [3065, 5345], [2311, 7357], [3620, 9539], [8818, 9906], [6049, 10254], [3143, 3723], [5233, 6470], [5890, 9443], [1867, 2398], [7242, 8319], [5853, 9561], [3521, 6500], [7490, 11050], [809, 966], [7868, 10444], [1834, 7553], [273, 10031], [2319, 6844], [3203, 4124], [5130, 10105], [3635, 10951], [273, 3615], [1446, 6690], [1518, 2594], [2147, 11433], [5991, 11373], [4532, 5460], [8864, 9096], [1729, 2814], [8919, 9557], [6424, 8222], [388, 7510], [3132, 8795], [10345, 10826], [3507, 8672], [5276, 6897], [10157, 10775], [2749, 3395], [9999, 10189], [126, 2814], [4996, 7257], [2645, 5674], [8281, 11148], [602, 8378], [159, 7808], [8527, 11554], [4702, 9412], [1855, 4242], [7470, 9593], [9139, 9866], [1341, 5684], [522, 8799], [8834, 9984], [7939, 8351], [1554, 6731], [4407, 9494], [365, 8815], [7897, 8125], [4406, 5105], [734, 10375], [5188, 6272], [2827, 11141], [5649, 7421], [2946, 6137], [4491, 4654], [10280, 11124], [3465, 4258], [3162, 4449], [2188, 6495], [2439, 10278], [918, 3487], [9503, 11432], [1282, 10365], [4176, 8965], [7564, 8854], [5394, 9531], [1039, 11361], [2438, 3637], [351, 407], [44, 10278], [10961, 11458], [789, 4016], [214, 7491], [819, 6110], [2395, 10356], [1500, 6471], [7943, 8069], [10921, 11278], [5561, 10583], [220, 8410], [591, 10043], [3137, 4927], [6189, 7119], [1731, 5064], [4809, 5471], [2546, 4459], [367, 8056], [2848, 10459], [694, 10171], [3928, 4675], [2496, 10007], [9137, 9338], [3875, 11430], [3710, 6667], [4742, 11015], [5234, 11477], [1276, 9745], [9505, 10673], [4822, 6056], [3426, 10291], [1965, 10721], [3137, 3772], [929, 8883], [499, 3637], [7069, 10672], [116, 9534], [1769, 10028], [8245, 11012], [6192, 6612], [216, 10115], [9206, 10232], [2604, 10075], [307, 10233], [5775, 7263], [3237, 4326], [3383, 9813], [7050, 8363], [3910, 7078], [5275, 10323], [4590, 6056], [9020, 10227], [5708, 9424], [4125, 8171], [2595, 3546], [1225, 9002], [4678, 9286], [1376, 9171], [4526, 5482], [3461, 5158], [3244, 7375], [7504, 8691], [3338, 10420], [6392, 7023], [186, 450], [5791, 11529], [3609, 9193], [6193, 9065], [2832, 5337], [6228, 8497], [590, 2196], [8535, 9781], [6510, 8183], [3110, 4527], [6654, 10591], [4288, 7946], [8948, 10889], [987, 2771], [10109, 10921], [80, 10203], [2609, 9614], [6675, 8435], [1167, 7842], [2293, 11071], [2480, 10897], [481, 7514], [3282, 5923], [6520, 8497], [2879, 8162], [7700, 8579], [7925, 11141], [2683, 4840], [5277, 9564], [5826, 6396], [7, 7631], [8360, 11069], [10409, 11563], [2868, 3839], [3673, 8962], [9039, 10603], [3430, 9204], [7105, 8369], [288, 7092], [3302, 3542], [10115, 10335], [339, 7057], [3334, 6463], [5443, 7008], [3397, 3779], [8304, 9632], [843, 1837], [10397, 10398], [4542, 5560], [4943, 9287], [1703, 10050], [9979, 10824], [8666, 11152], [5491, 5894], [3065, 3198], [1198, 2186], [7426, 9484], [5215, 10914], [1939, 3352], [2374, 2526], [4467, 9708], [3586, 5529], [8751, 9920], [9933, 10829], [4181, 6870], [4709, 9241], [9688, 10244], [5859, 11366], [746, 749], [7964, 8005], [8970, 11132], [459, 692], [2456, 7412], [3679, 8322], [5154, 6100], [2495, 10750], [6012, 8575], [5103, 8764], [8613, 9582], [4413, 8317], [681, 2202], [2331, 3179], [6868, 10253], [868, 8444], [4913, 6388], [1864, 4467], [797, 9732], [4226, 5458], [7428, 8375], [678, 6068], [5275, 10941], [3848, 10201], [9944, 10964], [6210, 11192], [3249, 4954], [6084, 6357], [6700, 8575], [4282, 9904], [4743, 10299], [10, 6319], [4831, 6736], [1439, 1443], [2311, 7788], [2612, 4518], [1596, 8974], [1620, 9368], [4772, 6506], [3712, 6526], [7003, 8734], [3488, 5320], [11077, 11580], [1245, 7212], [6188, 6306], [580, 7761], [6192, 6425], [3668, 7358], [1292, 3271], [8430, 9824], [1818, 9733], [6059, 6835], [5780, 7420], [4314, 6752], [135, 4112], [2288, 11345], [6992, 8171], [9134, 11108], [8481, 9762], [6681, 9972], [2775, 8430], [9717, 10907], [3099, 10217], [6848, 6887], [1146, 3045], [1834, 6829], [3093, 10402], [5541, 10413], [6322, 10978], [2458, 3246], [582, 4400], [370, 6207], [5819, 10357], [1650, 4241], [2393, 7732], [3198, 6439], [2869, 7661], [3301, 8072], [1367, 11500], [8175, 10779], [1243, 3328], [644, 8661], [1172, 4616], [1118, 7763], [4352, 8683], [3091, 9201], [7948, 9275], [4038, 10967], [8386, 8720], [6858, 10584], [1298, 9801], [2130, 6167], [2161, 5480], [6015, 6862], [4888, 5660], [499, 1490], [6720, 7617], [6663, 7083], [2867, 9843], [8911, 11170], [6877, 10984], [1958, 4370], [8413, 10893], [3494, 9941], [1835, 9632], [5130, 8576], [5634, 6389], [7461, 8002], [5224, 8211], [6370, 6457], [4231, 7201], [1577, 8061], [398, 10833], [6380, 11282], [981, 6495], [3379, 7897], [8148, 11534], [1513, 7487], [4457, 5450], [2440, 7123], [17, 10360], [6433, 11293], [5079, 10866], [1414, 6727], [6883, 11529], [2987, 4259], [5478, 8104], [1928, 7887], [90, 5361], [7068, 7495], [1247, 7903], [4707, 5194], [120, 7455], [2486, 3684], [6652, 11000], [7894, 10462], [2600, 3971], [1398, 11455], [7119, 10816], [457, 4192], [5861, 10097], [1733, 11152], [49, 2677], [3151, 7642], [2747, 3617], [1759, 3705], [358, 9848], [6802, 8665], [5620, 7756], [3343, 7812], [325, 1040], [3036, 7103], [7296, 8419], [5522, 7598], [3459, 8926], [2246, 2288], [7570, 10873], [7606, 10530], [784, 8909], [3236, 6410], [1061, 1081], [1333, 3489], [684, 5295], [4512, 11118], [8029, 8943], [6933, 7054], [2048, 5686], [626, 10952], [712, 10726], [6094, 6484], [2398, 6442], [6310, 7048], [1248, 4290], [7366, 9538], [1886, 3823], [21, 9273], [2260, 6858], [9166, 9678], [1501, 4362], [2975, 9055], [291, 7821], [3056, 3567], [2311, 3413], [5079, 9256], [5433, 10508], [4394, 9153], [2959, 3634], [4180, 4471], [5826, 10210], [7006, 8040], [3542, 6843], [4266, 6874], [2953, 9454], [5014, 11463], [4021, 7043], [1358, 3680], [6543, 9447], [5573, 6731], [5595, 10462], [2200, 7904], [2946, 9414], [3471, 5098], [6815, 11074], [2194, 7335], [3424, 6006], [334, 3330], [711, 3280], [6426, 7357], [703, 9054], [5092, 6808], [4097, 7977], [2094, 7104], [3936, 4087], [601, 7996], [5577, 9482], [258, 4624], [5665, 8548], [873, 9623], [7690, 10900], [98, 10004], [1122, 3911], [8661, 10808], [523, 2828], [658, 8880], [8841, 9463], [2728, 10251], [8335, 10823], [1057, 1981], [5004, 9970], [551, 4095], [4308, 8173], [1789, 2280], [3036, 10754], [1671, 3722], [8135, 10361], [1691, 11544], [2725, 3133], [4146, 6310], [2027, 2044], [2649, 7460], [6162, 8549], [1556, 5842], [10124, 10400], [11265, 11308], [525, 11518], [1836, 8111], [7166, 10095], [1218, 9230], [6197, 10233], [650, 9712], [3984, 8584], [1398, 1469], [5596, 9077], [5850, 10125], [4596, 6896], [2139, 2635], [3699, 9354], [5686, 8970], [3480, 7738], [2045, 8635], [9985, 10214], [769, 8064], [7913, 10675], [5521, 6809], [8191, 9865], [2558, 3908], [1720, 2809], [5057, 5362], [1841, 10683], [5170, 9211], [1648, 11042], [4239, 5669], [5042, 7713], [3731, 3950], [5824, 11132], [497, 8665], [6593, 10182], [521, 6807], [9803, 10708], [3977, 10772], [1993, 8421], [5288, 8119], [82, 3727], [5007, 7877], [5473, 7118], [7138, 10655], [5928, 7698], [298, 5422], [2717, 6947], [2040, 10869], [7986, 9409], [9033, 9901], [3408, 7969], [1125, 11243], [6085, 8032], [2969, 4135], [1651, 10535], [660, 2778], [350, 8214], [2396, 5027], [5833, 11194], [10300, 10359], [5635, 10455], [5048, 6723], [879, 4771], [2049, 4165], [2804, 9925], [5230, 6205], [2033, 3632], [1990, 6968], [6757, 10532], [8343, 9050], [2240, 11280], [11290, 11448], [8399, 10113], [6023, 6780], [152, 7825], [6865, 10250], [1008, 9503], [6773, 11415], [1916, 4925], [5654, 7822], [353, 10740], [7268, 9142], [2634, 10803], [1323, 7794], [2285, 4233], [5614, 8423], [3594, 6415], [5794, 7078], [2683, 10695], [5489, 6442], [5864, 6319], [9685, 10971], [6770, 7330], [2646, 4397], [9500, 11191], [7449, 7618], [3087, 5271], [2837, 5096], [337, 5669], [6405, 11554], [6004, 11210], [2325, 8893], [3259, 9700], [2577, 2698], [9824, 9975], [519, 8534], [8485, 10580], [2026, 5039], [8435, 11217], [2831, 3746], [2547, 3987], [2977, 3571], [6249, 11391], [2569, 6220], [705, 11141], [10913, 11070], [3910, 11323], [6310, 8634], [23, 8303], [4849, 8310], [9223, 11448], [2538, 10290], [6834, 11263], [7364, 8045], [6483, 10282], [2992, 7262], [693, 6593], [2183, 5403], [3645, 8581], [663, 1466], [8355, 8605], [5356, 6047], [3277, 7596], [1682, 10490], [942, 10680], [10276, 10607], [697, 10095], [7937, 9785], [5845, 6211], [3303, 5030], [1211, 1456], [2887, 3654], [707, 3643], [7804, 10195], [3167, 5923], [7217, 10627], [4734, 7397], [3414, 5800], [3221, 6159], [237, 11049], [773, 11029], [6840, 7644], [2301, 6159], [10143, 10613], [515, 3823], [1540, 7000], [5287, 7731], [6001, 7074], [1646, 8150], [7054, 9293], [3897, 5395], [7236, 11027], [7955, 10714], [453, 6328], [3280, 3706], [883, 5912], [1812, 8627], [7075, 7137], [4050, 5610], [4554, 7587], [5175, 10149], [1001, 3689], [4521, 5195], [1539, 4496], [3113, 7915], [498, 2314], [7204, 9210], [4807, 10662], [7039, 10863], [1150, 9824], [6225, 11289], [5910, 9965], [9327, 10592], [5230, 10206], [9803, 10521], [467, 9767], [1238, 9644], [5541, 7624], [3850, 4394], [1270, 7647], [9668, 10104], [7529, 10848], [3642, 7828], [1426, 5908], [4153, 5334], [2630, 4132], [3168, 11355], [8643, 10310], [1324, 1467], [3588, 10251], [1048, 5733], [7928, 11496], [137, 3597], [140, 7278], [3932, 7028], [317, 8668], [6172, 7090], [392, 7499], [222, 9562], [470, 2494], [9930, 10639], [1907, 8059], [940, 4860], [1528, 11446], [8880, 9849], [8971, 9967], [8250, 9453], [2144, 7248], [3332, 5693], [6472, 6978], [6095, 11192], [4538, 4744], [1468, 8362], [6626, 10828], [2462, 9220], [8897, 10203], [2791, 7998], [3724, 5170], [2354, 11380], [2390, 11037], [169, 4609], [2538, 7525], [2424, 9867], [7993, 8457], [2100, 7299], [5426, 5556], [5441, 6588], [1764, 5098], [4814, 9873], [879, 6812], [2372, 11555], [908, 5298], [4863, 6732], [5699, 7004], [5822, 11541], [280, 11364], [1431, 4292], [6658, 9561], [6100, 10731], [2024, 4806], [7471, 8129], [5014, 10284], [6186, 10505], [3978, 8446], [210, 7592], [10956, 11334], [834, 9671], [7152, 10069], [2452, 11110], [4837, 7389], [4998, 8246], [4437, 9899], [1421, 3954], [1202, 11006], [2565, 8543], [1792, 8593], [3072, 3621], [1227, 6340], [1514, 9780], [831, 6340], [4745, 11183], [4205, 6516], [1780, 10838], [2093, 9837], [8024, 8843], [4579, 6168], [8689, 10923], [3049, 3795], [6383, 6831], [1149, 6807], [3673, 4376], [3857, 6183], [405, 9507], [271, 6309], [1929, 7147], [2149, 9365], [3983, 8739], [810, 10724], [1545, 3774], [10393, 11355], [3418, 6486], [2013, 9477], [5748, 6441], [3382, 3796], [2754, 4227], [569, 3872], [6364, 7878], [227, 4108], [3033, 7025], [1940, 11069], [593, 1233], [131, 7029], [4551, 6348], [8097, 9829], [1101, 10499], [664, 9744], [225, 248], [6885, 10209], [9835, 11370], [4143, 8216], [5559, 8797], [8210, 9891], [6099, 6267], [5008, 11138], [4471, 7523], [2924, 5173], [7836, 11370], [3409, 4464], [6870, 11025], [184, 597], [3093, 5921], [4560, 9443], [6547, 9059], [1817, 4596], [9380, 9635], [7515, 9450], [5832, 10245], [1811, 11197], [8574, 11457], [5955, 8366], [6170, 10240], [5368, 8798], [692, 10987], [10031, 11258], [9091, 9882], [5514, 5590], [6479, 7962], [1801, 3689], [1551, 9930], [2986, 4869], [5759, 11056], [3514, 11404], [718, 9175], [9090, 10411], [654, 5218], [2206, 4906], [2142, 9617], [523, 6455], [3981, 7083], [4781, 7698], [4663, 6888], [155, 552], [3684, 5584], [7747, 11247], [4688, 7884], [5247, 9568], [10504, 10515], [84, 5223], [5390, 9095], [3194, 8551], [3774, 4696], [1407, 8996], [8561, 8912], [4669, 5548], [6200, 11529], [8096, 11027], [3245, 8489], [4165, 11118], [2090, 2987], [10080, 10345], [178, 10900], [2239, 2329], [4288, 9239], [492, 6337], [8642, 8692], [8764, 9621], [4662, 8891], [2609, 10907], [3786, 11472], [4413, 11570], [4745, 7613], [2601, 3849], [4800, 8074], [5018, 9465], [6738, 11181], [3257, 8849], [2847, 10671], [2061, 3346], [2348, 6786], [2654, 3860], [4639, 9819], [1898, 5045], [5413, 6207], [2338, 5317], [3528, 3835], [1743, 11523], [5222, 6612], [965, 4059], [96, 1395], [5605, 9760], [491, 8340], [1929, 6960], [2574, 8418], [3887, 11473], [3476, 10441], [2822, 11149], [9382, 11080], [5435, 8009], [2097, 7483], [6216, 7820], [1724, 2771], [3349, 7633], [2, 1359], [8136, 9597], [3440, 10380], [3402, 7644], [3842, 7916], [4329, 8034], [3362, 4081], [2551, 5559], [1465, 4358], [775, 3911], [8237, 8898], [4073, 7290], [1268, 7227], [3226, 8357], [1242, 6006], [4253, 5945], [5407, 11222], [525, 7119], [2915, 3742], [5556, 8312], [5432, 5802], [4389, 8435], [10039, 11363], [2756, 9347], [5490, 9944], [2761, 3275], [8674, 11501], [1071, 7063], [8085, 11106], [6492, 9165], [1759, 5185], [5924, 9647], [2249, 4066], [8663, 11342], [5528, 9647], [5029, 5762], [9036, 9638], [8470, 10947], [3845, 4026], [8230, 11460], [156, 1021], [948, 11544], [351, 7124], [3405, 7891], [7887, 8088], [5738, 10396], [1816, 1905], [6127, 10356], [313, 7771], [715, 3055], [1339, 5134], [4288, 9857], [1390, 8105], [2740, 4626], [854, 11508], [1050, 1998], [4101, 10381], [1297, 2629], [3506, 6788], [1632, 11021], [5092, 6060], [295, 6791], [4064, 9001], [3493, 5802], [1909, 6576], [6601, 8303], [1664, 10909], [100, 8952], [1989, 5781], [9029, 11045], [1800, 2095], [86, 7741], [4657, 11393], [4698, 7230], [4223, 8657], [2490, 10089], [10329, 10862], [1358, 8543], [5845, 9838], [8277, 10070], [669, 4534], [739, 6027], [479, 4410], [3496, 5295], [6303, 11066], [2631, 5756], [6669, 8945], [5117, 6251], [3150, 8041], [3930, 4217], [2655, 7281], [779, 8435], [4079, 7723], [5794, 9095], [6909, 8782], [2795, 6537], [5425, 6754], [27, 3323], [4591, 5804], [6686, 9649], [3104, 4259], [3298, 7508], [7563, 9922], [3446, 8160], [297, 10539], [1973, 6321], [4099, 9479], [11, 8455], [4056, 5645], [3063, 7641], [1573, 2415], [8083, 9399], [5994, 9506], [9416, 9723], [1974, 6142], [9658, 10010], [4892, 9300], [1188, 5987], [4308, 10003], [6020, 7694], [1696, 3919], [2335, 7060], [3615, 8504], [5977, 7243], [3551, 4547], [8745, 9676], [5192, 9942], [2559, 9397], [3860, 6056], [1936, 10172], [5609, 8510], [4351, 8545], [1672, 5403], [2606, 8462], [4070, 6051], [1952, 7672], [188, 9791], [2821, 3920], [7337, 10117], [482, 9514], [606, 1444], [6130, 10841], [492, 4540], [830, 10197], [835, 4125], [10281, 11463], [7516, 8547], [4940, 9290], [6430, 8100], [7020, 11349], [5143, 8895], [5055, 6796], [6077, 10456], [7640, 8024], [2036, 6969], [2810, 5609], [1853, 7262], [3181, 7996], [2529, 3869], [9337, 9564], [6381, 10086], [1739, 5470], [1040, 1497], [7848, 11356], [3797, 7181], [2117, 8247], [2829, 10173], [2987, 11513], [3202, 9223], [762, 8349], [8642, 9123], [9607, 11495], [5901, 6601], [140, 5562], [3787, 9095], [1667, 7637], [7952, 11305], [3100, 5913], [4655, 11534], [7666, 11473], [2717, 5394], [411, 6964], [8043, 10642], [2687, 6683], [4211, 5077], [3462, 9685], [2367, 10650], [6596, 11155], [9273, 11218], [1649, 8155], [8115, 8451], [873, 2272], [2117, 4059], [6132, 9708], [1488, 10681], [8494, 10699], [1309, 2802], [490, 5917], [3728, 4327], [7905, 10304], [6602, 11320], [4909, 5765], [4783, 6592], [738, 2986], [3633, 10856], [7182, 10848], [6922, 9231], [1046, 4270], [1080, 9516], [1314, 5024], [887, 2705], [135, 7796], [3939, 9061], [3429, 9521], [918, 8407], [536, 5107], [1776, 10158], [1808, 8161], [288, 4978], [783, 9121], [6755, 8128], [4048, 9354], [6058, 6510], [149, 11235], [1214, 5143], [1551, 7946], [1339, 9753], [6523, 7778], [8766, 11521], [1545, 3213], [1144, 2869], [1755, 4743], [4752, 6474], [731, 1010], [3540, 7608], [8982, 9833], [104, 4295], [1048, 5790], [1284, 2125], [7238, 11106], [3409, 11474], [6453, 6635], [9259, 9552], [4297, 11155], [6568, 10530], [931, 7083], [4487, 8246], [7250, 10335], [1951, 7664], [3231, 4944], [8559, 11019], [2520, 3620], [814, 9881], [2801, 9497], [8052, 8744], [1584, 9533], [1429, 5458], [1119, 6730], [1114, 6386], [2196, 10097], [6769, 10412], [8214, 10203], [1822, 5160], [3281, 4657], [2128, 8650], [4337, 7147], [10226, 10815], [4878, 7471], [9073, 9146], [4245, 7558], [7015, 10818], [1720, 10518], [6663, 9612], [8756, 10378], [5886, 9920], [576, 9312], [836, 10205], [8623, 10788], [2183, 3045], [5546, 6065], [2174, 5211], [4395, 5223], [10864, 11452], [7309, 10891], [6252, 11182], [1453, 1664], [3297, 5890], [520, 8629], [10769, 11565], [6583, 7000], [4380, 6039], [2606, 7470], [7709, 10983], [4001, 9426], [78, 10913], [5957, 7477], [4721, 9715], [10187, 10836], [3416, 9904], [1565, 3009], [4550, 7389], [8142, 11215], [1752, 9251], [1747, 8907], [1972, 11469], [1072, 9492], [5590, 9346], [5182, 7831], [1593, 8440], [2568, 11500], [8170, 9476], [1589, 4534], [348, 6428], [2149, 9072], [1865, 9313], [1335, 6869], [194, 5961], [9781, 10498], [1586, 4236], [7041, 11584], [6323, 9089], [2116, 10063], [5290, 10932], [4142, 9607], [4003, 6065], [3612, 6409], [9558, 10611], [1836, 4761], [699, 2871], [2481, 7717], [673, 1650], [868, 1337], [5742, 11214], [3944, 5835], [6769, 8802], [3293, 10978], [2292, 2533], [3042, 7195], [3033, 10115], [3064, 5264], [3161, 8580], [6018, 7298], [9803, 10041], [4056, 6426], [2375, 4638], [5270, 6092], [3143, 9879], [3800, 7934], [464, 2573], [2021, 2605], [3149, 6661], [1859, 2277], [2392, 4992], [2020, 3134], [2701, 5747], [1710, 2154], [5435, 7098], [3418, 8771], [5376, 9901], [2257, 2323], [2628, 11126], [4842, 9213], [2509, 2544], [7076, 8706], [2969, 3468], [7120, 8978], [575, 10109], [2507, 2848], [2658, 9433], [662, 5567], [7611, 9215], [3158, 7504], [2660, 9479], [1120, 10582], [1159, 9756], [6471, 10410], [5033, 5374], [7847, 8152], [8473, 11058], [746, 4864], [4264, 5543], [2387, 3843], [4981, 8567], [4327, 10029], [8093, 8558], [8704, 10432], [299, 388], [2146, 10547], [6396, 11175], [7647, 8471], [8894, 9775], [4443, 4727], [1920, 8514], [5908, 11586], [2099, 3561], [9411, 11233], [9349, 10355], [5835, 10549], [5709, 7212], [769, 6137], [7142, 9652], [7166, 10046], [2536, 7699], [550, 10937], [7355, 10699], [4246, 4563], [734, 7082], [3468, 7679], [1314, 3227], [825, 6446], [3089, 4650], [4615, 5369], [2748, 4357], [4804, 6022], [6199, 7978], [7446, 10036], [631, 2416], [495, 9725], [3862, 10989], [5610, 8337], [10713, 11096], [2459, 7637], [3551, 9784], [177, 8103], [6061, 11427], [5753, 7110], [5814, 8517], [6438, 10596], [1944, 2468], [4094, 9430], [9133, 11238], [4804, 11283], [9167, 10068], [574, 4891], [3524, 6806], [6485, 6628], [1128, 5450], [1974, 10574], [11029, 11086], [1535, 7494], [5881, 8584], [5413, 6264], [3556, 5940], [1643, 4583], [2367, 3860], [4851, 10698], [3426, 10031], [2428, 5267], [2, 2571], [1621, 3481], [1156, 7848], [1553, 11456], [5450, 8748], [3139, 9974], [7626, 11269], [1773, 7258], [2109, 5672], [43, 1067], [9297, 9336], [2289, 4327], [3032, 8572], [7149, 8082], [7426, 10834], [1067, 4019], [3596, 4184], [6235, 7927], [6701, 7168], [5023, 9061], [7108, 11464], [10500, 11472], [1097, 9496], [1622, 5934], [92, 3561], [6547, 10084], [5205, 5510], [4517, 10771], [5033, 9375], [3324, 11201], [585, 3844], [2852, 5729], [5780, 9575], [1919, 5524], [6714, 11136], [984, 4492], [1104, 9512], [4434, 10894], [7832, 11471], [7450, 10423], [6044, 8308], [1964, 11309], [1974, 5581], [7108, 10659], [4078, 6536], [228, 6027], [1405, 6592], [2895, 5402], [3485, 8651], [3715, 11557], [279, 2582], [1770, 4246], [5159, 6989], [2397, 10760], [4823, 7040], [212, 3989], [7686, 10491], [5532, 6039], [1340, 8799], [9886, 11154], [304, 6961], [3948, 4561], [4789, 5177], [3658, 6485], [4152, 7774], [2849, 8790], [256, 504], [8385, 10650], [2093, 3559], [4434, 10089], [1132, 9974], [798, 4436], [2009, 10247], [228, 8255], [6205, 8360], [2246, 9436], [8655, 9198], [4639, 10494], [2156, 10674], [2779, 3483], [4931, 7862], [10521, 10739], [321, 7665], [4268, 11490], [846, 4103], [510, 4154], [7596, 9793], [8401, 8500], [2894, 4345], [6361, 8499], [1519, 3041], [7768, 7806], [7277, 7946], [2203, 3673], [3132, 6388], [10193, 10277], [83, 4467], [4871, 6656], [6639, 6908], [6427, 8715], [9512, 11047], [3996, 5675], [5701, 6359], [2401, 2907], [267, 3995], [6387, 10070], [1694, 1702], [6394, 10460], [4861, 7816], [7134, 8018], [369, 515], [3918, 6923], [3305, 8386], [9807, 11345], [523, 4365], [906, 9765], [4538, 5850], [5909, 9664], [6012, 10543], [4039, 8381], [1702, 4976], [1650, 4786], [7534, 8110], [1242, 6681], [3534, 6933], [1305, 11167], [4698, 6482], [5128, 6066], [2516, 10562], [427, 10669], [4653, 6739], [2817, 7292], [279, 4355], [4620, 5101], [5991, 8161], [798, 2476], [9667, 10180], [5627, 11082], [4156, 10070], [1236, 6085], [4462, 7144], [195, 3903], [819, 6736], [4396, 8776], [2434, 4494], [9280, 10673], [8934, 10036], [5592, 11246], [5274, 6241], [1723, 2416], [6950, 7685], [3312, 7621], [1404, 10772], [6973, 8608], [3745, 4470], [837, 1276], [7, 11372], [3481, 6117], [8240, 9066], [2708, 9577], [5731, 11031], [1059, 9956], [397, 977], [627, 10299], [4615, 6955], [992, 2318], [3519, 5820], [1953, 7954], [10053, 10192], [4727, 11333], [1914, 4993], [4007, 5759], [4308, 8905], [5094, 9814], [9541, 10956], [1418, 11178], [8846, 10165], [5210, 10928], [831, 7446], [5707, 10980], [5, 722], [7485, 10422], [2519, 8900], [5201, 10061], [717, 2621], [664, 8622], [1316, 7087], [437, 2981], [3014, 5846], [402, 4680], [3289, 8525], [6807, 9204], [2493, 11035], [678, 9459], [900, 8340], [4320, 6232], [777, 9438], [6563, 9975], [5092, 8963], [2783, 6852], [2659, 5096], [8168, 9297], [4996, 5468], [2506, 7483], [6833, 8523], [6107, 7665], [6485, 7059], [3809, 9850], [1096, 1462], [5553, 9708], [3808, 10379], [4608, 7988], [1220, 8853], [848, 6995], [965, 1164], [4726, 5765], [2062, 10825], [4887, 10786], [6938, 7943], [2112, 3772], [121, 10049], [1494, 8274], [1212, 9342], [3579, 10677], [1462, 8736], [4007, 7182], [1454, 2459], [8703, 11280], [949, 1011], [5181, 6695], [5745, 9477], [8828, 10228], [6498, 7240], [3815, 7362], [4462, 4729], [7848, 9453], [1134, 3393], [2679, 8326], [4771, 5484], [2933, 2958], [1935, 4610], [815, 4579], [4995, 10827], [1695, 11539], [9375, 10747], [1777, 6653], [5082, 7039], [1248, 7063], [1358, 4225], [4966, 8584], [2515, 7521], [3389, 4113], [780, 8126], [3843, 7501], [700, 5164], [3069, 8080], [1670, 2218], [3437, 6032], [1229, 8891], [4723, 11428], [4835, 5253], [10103, 10523], [1946, 7751], [10908, 11482], [2719, 6920], [6022, 9889], [3894, 4406], [6010, 6122], [7324, 9402], [2501, 8912], [724, 4410], [1589, 9584], [1711, 10513], [3919, 9539], [674, 3542], [7817, 9685], [1993, 10576], [3700, 3759], [2486, 8230], [3611, 8605], [6849, 7015], [4196, 5094], [2883, 4668], [7457, 7837], [4506, 8703], [1887, 6366], [2016, 2050], [2969, 9323], [7415, 8365], [173, 5596], [6458, 10018], [551, 11406], [3999, 10592], [4176, 8949], [3708, 6629], [7701, 10799], [757, 5997], [962, 2265], [6943, 8905], [2557, 9170], [1800, 2583], [8814, 10790], [8864, 10153], [906, 7968], [459, 863], [1053, 11401], [3637, 9021], [917, 5124], [7830, 9115], [1354, 5879], [1973, 7614], [10269, 10518], [2573, 11551], [2163, 6957], [984, 9729], [1297, 8728], [6059, 11194], [8674, 10379], [2523, 8431], [2882, 10027], [296, 9328], [1222, 6110], [2789, 6830], [4563, 5399], [2309, 3749], [3926, 11002], [1538, 1620], [5896, 6477], [3399, 11485], [9748, 11196], [694, 7122], [5699, 9346], [1841, 11228], [2519, 7908], [6827, 6986], [4728, 6405], [2907, 7990], [5388, 8895], [7000, 8634], [9302, 9574], [7151, 8803], [934, 9211], [3702, 9392], [527, 8298], [331, 4976], [6215, 8300], [1922, 3838], [9110, 9754], [5958, 6200], [2697, 10223], [3062, 8658], [5240, 7088], [1699, 4705], [720, 4155], [8536, 9640], [1282, 5356], [6361, 8475], [4742, 6811], [1526, 5716], [8876, 9708], [4979, 6000], [435, 4925], [2613, 3355], [1993, 7811], [4049, 5312], [3216, 5311], [1777, 6466], [407, 6260], [4224, 7006], [1889, 10090], [2585, 8073], [5788, 8182], [1980, 3011], [6059, 6201], [3277, 8596], [2514, 6328], [14, 5403], [4520, 10158], [2722, 7031], [1264, 11142], [509, 5382], [30, 9319], [2533, 7509], [3715, 8418], [5764, 9666], [845, 2298], [3988, 10270], [4580, 7930], [3905, 8515], [3800, 10219], [2551, 8088], [723, 6250], [1590, 5835], [1831, 8930], [3212, 7016], [34, 8657], [10020, 10459], [8908, 11043], [5622, 9209], [8376, 11182], [3261, 6908], [4226, 9280], [4296, 8521], [9790, 10936], [4726, 7351], [3136, 4927], [9488, 10571], [1357, 6014], [2475, 9382], [1456, 10157], [2326, 2843], [3320, 10871], [2040, 6421], [4829, 7479], [948, 7657], [788, 10408], [1853, 3562], [7758, 7763], [6913, 10411], [2938, 10954], [2372, 8099], [7508, 7588], [4428, 9764], [1372, 6672], [7700, 7758], [2399, 10676], [6566, 9549], [3514, 3947], [2681, 3192], [1774, 10624], [7412, 10509], [6949, 9287], [6951, 10114], [2115, 4501], [4299, 4631], [2021, 4085], [3118, 6576], [1731, 4511], [4485, 7238], [304, 9433], [6027, 6238], [7222, 11516], [3767, 10405], [3891, 6499], [4660, 11211], [393, 2308], [6031, 6357], [3321, 3902], [9829, 10059], [2355, 3557], [4933, 7778], [7584, 8872], [7362, 9991], [230, 7390], [1321, 6683], [693, 2950], [5830, 10955], [8913, 10208], [4274, 11525], [1062, 1504], [4800, 11571], [103, 2330], [3432, 7274], [3189, 7516], [4175, 5103], [7726, 8174], [2709, 4435], [6296, 7163], [2712, 8116], [4238, 8835], [2185, 8599], [0, 4834], [3554, 11586], [9841, 10419], [2709, 7818], [4147, 6438], [1652, 5103], [3923, 4478], [4258, 7208], [2329, 10980], [734, 8212], [4634, 9185], [59, 2381], [3111, 7983], [5809, 9677], [5936, 8698], [5313, 9473], [2940, 5657], [3136, 3317], [8292, 9874], [3249, 7166], [7335, 11527], [5088, 10294], [2320, 3697], [1379, 5883], [7450, 11285], [4145, 5237], [3840, 4601], [8788, 10455], [7796, 8889], [1812, 8367], [4300, 5525], [1559, 7921], [6851, 7169], [3248, 3908], [4493, 9303], [1902, 8260], [7287, 10705], [1989, 10888], [399, 7710], [682, 7998], [2824, 10935], [5697, 8658], [10707, 11226], [5695, 7831], [8393, 9525], [1141, 6068], [2794, 8814], [1152, 9610], [8929, 9505], [5409, 5747], [4251, 5232], [207, 7890], [2607, 10119], [2380, 6730], [4133, 10838], [9360, 9691], [7680, 10003], [3786, 9976], [768, 9620], [3385, 9632], [10713, 11421], [200, 10102], [792, 1346], [2495, 7619], [2371, 5863], [3525, 11140], [316, 4800], [7640, 8325], [4025, 9211], [1881, 9611], [7822, 9305], [9030, 9183], [9095, 10332], [6504, 9289], [1975, 9246], [664, 5483], [8071, 10763], [4666, 6763], [1219, 4015], [5826, 9576], [8271, 10070], [2120, 2430], [380, 2691], [5748, 7441], [612, 7952], [2676, 10232], [1962, 4473], [744, 1655], [6528, 7781], [609, 7654], [2298, 7805], [2477, 5858], [3105, 3175], [5195, 5922], [1831, 9093], [7665, 8166], [3470, 7245], [4088, 9509], [5837, 9711], [2401, 7152], [1651, 5900], [2117, 7393], [1035, 7065], [6472, 8946], [3664, 3704], [4267, 4906], [674, 8779], [5526, 7755], [3478, 10115], [3388, 4937], [1761, 9047], [6891, 10219], [10096, 11155], [755, 10057], [5278, 10255], [4683, 6662], [414, 9764], [6271, 9013], [7757, 10333], [4995, 7688], [1103, 10740], [3056, 4356], [969, 1126], [4709, 11266], [2588, 2790], [3341, 7723], [1470, 9221], [1840, 8000], [4204, 9818], [2179, 7466], [4300, 9526], [3989, 5692], [3576, 3833], [6731, 6904], [431, 1450], [525, 7501], [4243, 8992], [1177, 8595], [4356, 9808], [8449, 10452], [148, 4895], [6302, 6390], [8019, 8589], [1764, 6261], [943, 8549], [5120, 8864], [1637, 3453], [1778, 9350], [9715, 10658], [9873, 11244], [4026, 7021], [9124, 9436], [2281, 4686], [7012, 7839], [9464, 10258], [495, 4602], [4703, 10646], [3584, 7053], [6748, 9486], [7622, 10242], [182, 9740], [4850, 6909], [3604, 10711], [467, 5937], [1184, 8961], [9525, 10130], [1425, 5640], [1151, 6569], [3603, 4070], [1649, 10229], [3846, 7211], [2910, 3325], [1268, 10537], [5093, 6263], [7584, 10108], [958, 9557], [8169, 10761], [1955, 10686], [8176, 11151], [3713, 11004], [855, 5645], [7197, 10601], [908, 2273], [1281, 1323], [5986, 7419], [4234, 6919], [3021, 3691], [1026, 9849], [1205, 5650], [2273, 9655], [3487, 8567], [4268, 9132], [1835, 9429], [773, 8622], [7707, 11238], [1060, 5646], [962, 9275], [1306, 2669], [5130, 5340], [2695, 11226], [2669, 5841], [2791, 4518], [2818, 9347], [1292, 1458], [7016, 9785], [2004, 6390], [7609, 11053], [207, 10281], [8820, 10448], [1853, 9604], [4238, 5883], [353, 3690], [1564, 9501], [692, 3156], [4493, 10539], [9777, 9926], [3208, 5745], [2425, 5107], [3870, 4898], [2708, 4641], [1278, 6636], [901, 10096], [2740, 9814], [1532, 7684], [2208, 9953], [4515, 8985], [4575, 9790], [7221, 10540], [10543, 11307], [239, 2248], [1928, 4651], [5849, 6501], [5505, 6691], [3980, 11078], [1731, 7520], [2233, 8670], [519, 1484], [5434, 11362], [3197, 11571], [1014, 1463], [2466, 3953], [2500, 9199], [6647, 10803], [5081, 6521], [3023, 8193], [2589, 5457], [5512, 8959], [7100, 9058], [2815, 10873], [4357, 9873], [6452, 7302], [6442, 6614], [6884, 6959], [2025, 6812], [7286, 10911], [1302, 3973], [3337, 7013], [1019, 7068], [4257, 9642], [4135, 8713], [7629, 11250], [3423, 9416], [2272, 3656], [4125, 7244], [3796, 8466], [1477, 5667], [546, 1371], [5158, 8030], [1507, 7007], [47, 1623], [544, 8845], [6669, 11100], [3396, 7219], [503, 11473], [4204, 5443], [6392, 9479], [3279, 9263], [10464, 11498], [717, 9712], [2654, 9211], [622, 6442], [3361, 7383], [2671, 6936], [7412, 8525], [94, 7454], [3660, 10833], [19, 11252], [7066, 11271], [5153, 9914], [7463, 8463], [672, 3122], [5677, 9510], [1074, 10484], [2657, 6075], [5375, 8391], [1848, 9878], [7598, 10758], [5547, 7185], [1140, 8071], [3114, 3318], [4773, 7010], [635, 6623], [5912, 11255], [9186, 9322], [5268, 11153], [1656, 10058], [4987, 8659], [1305, 9077], [123, 1752], [2270, 5033], [1931, 5567], [8180, 10332], [5126, 7313], [6930, 7976], [8020, 9296], [4811, 5208], [241, 9328], [2171, 8410], [7496, 10050], [2813, 5433], [3229, 4557], [3659, 4141], [1847, 9252], [5902, 7884], [8162, 8598], [7301, 9959], [5804, 9978], [4111, 10839], [595, 9452], [590, 9108], [6911, 9023], [5605, 9768], [4121, 8494], [3457, 9268], [6848, 7920], [4926, 7201], [1502, 5403], [1808, 8893], [4516, 9023], [92, 1634], [594, 6948], [10296, 11243], [4503, 7283], [2887, 10054], [4191, 5476], [3697, 9105], [6037, 6365], [3382, 10033], [5692, 8582], [5004, 8962], [1162, 4961], [544, 6080], [4974, 6087], [2174, 11286], [7360, 9384], [550, 2862], [1324, 2256], [1103, 6983], [763, 7292], [2535, 5034], [1248, 6583], [3892, 4254], [4335, 8207], [1677, 5942], [4633, 5420], [7972, 11052], [592, 8349], [1896, 10187], [440, 8709], [2575, 10475], [1362, 3837], [3884, 6995], [5513, 9347], [2552, 8771], [3512, 11553], [6879, 9811], [1149, 6173], [2855, 9711], [2972, 11050], [2977, 11394], [3564, 8710], [482, 10059], [9663, 9744], [5838, 7602], [1850, 3776], [4152, 8880], [545, 8129], [5930, 10574], [3378, 8705], [4684, 5708], [396, 8006], [4928, 8320], [164, 2021], [3801, 11282], [5793, 11242], [6575, 8245], [5238, 9677], [2588, 8027], [1184, 8237], [1691, 9731], [7623, 9339], [6910, 7188], [2524, 7453], [2729, 3721], [1309, 10568], [4669, 9907], [593, 3982], [9397, 11291], [4951, 6587], [82, 5752], [2143, 7761], [2081, 6883], [923, 6368], [2206, 11493], [5162, 6807], [2360, 11179], [2071, 4660], [5314, 8332], [5157, 9846], [1136, 4382], [1194, 1354], [1287, 1545], [8289, 11243], [5555, 7640], [882, 3711], [104, 3417], [4742, 8291], [1445, 8520], [5583, 8907], [1618, 10168], [3156, 5986], [752, 7021], [255, 553], [7748, 10515], [1340, 7945], [1190, 10630], [1971, 11195], [6790, 8533], [3803, 7490], [8027, 9149], [1936, 5724], [8560, 9612], [463, 3885], [3241, 11170], [3660, 9841], [3598, 8963], [1764, 3927], [8272, 9330], [242, 5579], [7988, 10325], [5211, 5894], [7795, 9930], [6344, 10294], [8049, 10978], [7077, 7435], [4568, 9400], [3801, 6289], [1386, 7135], [6138, 8913], [3285, 4652], [1198, 1422], [3028, 8968], [595, 9265], [4239, 9117], [6887, 8442], [6161, 7584], [9306, 9967], [7790, 9936], [933, 9260], [463, 6113], [2424, 10924], [6717, 8970], [163, 6575], [5756, 6717], [5623, 7127], [2517, 4672], [4912, 5803], [5779, 7640], [4349, 6629], [7422, 7446], [766, 10436], [329, 4019], [7330, 7857], [4716, 5110], [6529, 10023], [87, 7869], [3447, 11372], [390, 5426], [8074, 8540], [1637, 6730], [1270, 5216], [881, 1499], [2997, 3215], [3124, 5242], [1417, 5643], [5794, 8298], [473, 7531], [7635, 11472], [4633, 5233], [1334, 8799], [317, 6237], [4794, 6090], [5444, 7138], [965, 6458], [1643, 3892], [4798, 6963], [5975, 7528], [7034, 7283], [1855, 4714], [4105, 5464], [3723, 9334], [614, 2444], [3043, 9575], [6558, 10737], [460, 8393], [2327, 7153], [3980, 9899], [9969, 10795], [9907, 9917], [6371, 7878], [9005, 11277], [4125, 10253], [321, 1818], [6924, 11245], [859, 9795], [7268, 9557], [9499, 11031], [3032, 4848], [974, 10684], [2779, 4402], [2366, 8959], [7436, 9326], [1966, 11469], [4609, 6286], [510, 11489], [4698, 11239], [2364, 5099], [6663, 10507], [3758, 7584], [2359, 8138], [4933, 5070], [9058, 10857], [5524, 11173], [8084, 10651], [708, 5438], [2604, 4936], [1076, 9806], [3414, 10403], [4197, 7631], [6051, 7657], [1947, 10264], [5801, 6728], [7877, 9799], [2099, 6871], [6858, 9820], [786, 7199], [161, 7147], [3896, 6363], [2027, 8688], [5322, 7632], [5788, 9125], [4579, 6770], [954, 1306], [7722, 8326], [2555, 8026], [6820, 9686], [7037, 8223], [7317, 10492], [1304, 2816], [5820, 8259], [1667, 6840], [6154, 7381], [2394, 10552], [4314, 10444], [7518, 7772], [8025, 9266], [9644, 10930], [4229, 5610], [2450, 6697], [951, 10053], [9612, 11392], [757, 1142], [8472, 9204], [4746, 11205], [2252, 7062], [1748, 5085], [1125, 5860], [7293, 8943], [7759, 10436], [2149, 8812], [181, 578], [1061, 7538], [3668, 6862], [1402, 1415], [8440, 10016], [4013, 9526], [4856, 10969], [1264, 1481], [3726, 3834], [3602, 8494], [2756, 6753], [6122, 7792], [3381, 9434], [606, 2420], [5562, 5883], [698, 5392], [3752, 5405], [7633, 10862], [5026, 9286], [6801, 10709], [1127, 4751], [5180, 6720], [5553, 11432], [5698, 8403], [533, 4012], [2556, 5537], [7824, 10807], [5978, 10672], [1125, 1672], [10840, 11090], [3369, 8269], [571, 10131], [1722, 9475], [880, 10886], [1742, 5963], [3172, 4722], [959, 9489], [2547, 4670], [8131, 8456], [7909, 9575], [4671, 4749], [10510, 10582], [5940, 8286], [5537, 7115], [81, 5958], [5127, 8937], [5899, 8635], [3807, 4307], [8352, 8990], [2383, 7248], [1913, 4855], [2969, 6591], [168, 8936], [1314, 3772], [8900, 10515], [3836, 6930], [7103, 10242], [347, 3202], [6011, 9226], [1553, 3007], [6912, 9893], [1957, 7032], [1315, 3593], [8154, 9355], [4421, 10185], [1678, 11000], [367, 1575], [5316, 10283], [762, 8520], [5340, 9179], [6623, 10140], [2079, 9065], [458, 10738], [5692, 6598], [2103, 7207], [1009, 1981], [7054, 10326], [3183, 7839], [7047, 9155], [3091, 8250], [2375, 8834], [6394, 7809], [4078, 8691], [1188, 4548], [4147, 9959], [1002, 1160], [7716, 11357], [10276, 10835], [276, 10101], [966, 9050], [8059, 10942], [318, 7294], [2238, 5688], [1300, 5139], [983, 2988], [236, 8423], [3816, 9980], [1646, 4995], [4616, 8343], [6121, 8185], [6329, 8888], [6867, 9695], [2465, 10955], [3965, 10453], [4806, 11069], [4269, 10864], [2037, 5001], [1068, 5139], [216, 5862], [2000, 5119], [2308, 3020], [6353, 7380], [8935, 10589], [2235, 8399], [1307, 10790], [4607, 7826], [8872, 10240], [7189, 11035], [126, 10483], [5158, 11120], [7455, 8710], [4760, 8041], [3036, 8835], [2320, 6413], [1616, 2096], [3479, 6372], [8295, 9855], [796, 5740], [6334, 8427], [6795, 9576], [1578, 9159], [2474, 7230], [5172, 8924], [1438, 6146], [8017, 11015], [2463, 2907], [8746, 10666], [5050, 10624], [4520, 7426], [1311, 3338], [4831, 5598], [8709, 10784], [3203, 6100], [1620, 4847], [6790, 9582], [2872, 11413], [4486, 5563], [9489, 11124], [5263, 8638], [5291, 9905], [8558, 10965], [2046, 3908], [6457, 9557], [8077, 9911], [7120, 11564], [1917, 10853], [7051, 7263], [2039, 3868], [9690, 11006], [3289, 9607], [7521, 8875], [1188, 8199], [8352, 8803], [2400, 4032], [636, 10315], [3179, 7934], [4648, 8119], [2926, 3324], [4545, 4988], [5417, 11333], [3707, 3889], [4206, 5522], [7758, 11447], [4883, 11399], [29, 10842], [4664, 5619], [3831, 9028], [3263, 10264], [436, 6470], [313, 7568], [8530, 11145], [4853, 5491], [1491, 4571], [329, 11484], [2350, 9930], [3687, 8498], [273, 11552], [6400, 8218], [1204, 2262], [1140, 6973], [6248, 10830], [7466, 11396], [4255, 10645], [1325, 10136], [4121, 8201], [3555, 9510], [2500, 9874], [2063, 3457], [5028, 10568], [3194, 4778], [10491, 11418], [8039, 9753], [2377, 3058], [7667, 7895], [5361, 9465], [2061, 3761], [1314, 2780], [8619, 9281], [494, 6424], [1992, 11511], [3170, 8514], [778, 8812], [9515, 10735], [4229, 8269], [9950, 10663], [2116, 3818], [1925, 7256], [7902, 10771], [1307, 1959], [3289, 7647], [9259, 9991], [2882, 8986], [7047, 11196], [5808, 9753], [82, 7769], [9550, 10140], [4560, 10476], [859, 10844], [1948, 8556], [6392, 6771], [3616, 5948], [1288, 3787], [156, 2241], [1723, 2961], [5233, 6031], [2774, 11523], [2034, 7549], [7729, 7968], [5370, 6494], [5702, 8953], [6734, 6885], [2054, 8201], [5732, 11047], [2174, 6805], [958, 3279], [7532, 7804], [4538, 5590], [7239, 10211], [4378, 10970], [739, 1636], [2351, 8545], [9238, 10561], [5224, 6268], [7860, 9740], [231, 6333], [1972, 9680], [671, 6605], [1703, 4537], [2068, 2972], [13, 10577], [2654, 8731], [603, 5912], [7263, 8703], [1043, 5430], [539, 4207], [5774, 7085], [2250, 8089], [5496, 10524], [3239, 8603], [568, 6076], [4305, 6119], [1427, 10681], [1036, 4609], [926, 6723], [9138, 9956], [5600, 7090], [7244, 9750], [2048, 4548], [3269, 11047], [1480, 11446], [2672, 6627], [4974, 7567], [1173, 9983], [7145, 9744], [2883, 11011], [1047, 11564], [6181, 10226], [352, 4357], [4288, 7239], [1917, 10666], [2638, 4764], [2760, 5693], [1762, 7345], [642, 7314], [260, 4768], [1811, 7237], [2445, 7752], [7445, 9632], [820, 6273], [2284, 6114], [2437, 7110], [6480, 10643], [4990, 5417], [1753, 9861], [509, 8074], [2519, 8640], [1402, 8880], [7661, 11327], [457, 7160], [2836, 3594], [2079, 8341], [5537, 8969], [1112, 2136], [2705, 4831], [1586, 1992], [4910, 5838], [3858, 10637], [7764, 11455], [928, 3712], [10389, 11328], [2147, 9384], [2978, 9312], [5497, 6537], [3002, 7454], [1071, 8901], [3218, 6520], [4582, 6157], [4155, 6844], [7415, 7487], [4121, 4981], [12, 9496], [9353, 10594], [819, 4866], [9318, 11539], [1161, 1597], [8941, 11589], [2780, 3261], [5510, 6368], [4697, 7019], [5473, 7240], [929, 5411], [7157, 9299], [1737, 3635], [7282, 7493], [6318, 7975], [7302, 8899], [1889, 4406], [4628, 6101], [1923, 10406], [9853, 10543], [3886, 5464], [884, 8270], [2661, 10520], [2249, 11515], [4718, 5213], [10934, 10996], [4428, 11301], [2090, 4288], [226, 9209], [1933, 6556], [5761, 5963], [8694, 10907], [7042, 11015], [2677, 7239], [8439, 9634], [5017, 8663], [1340, 3009], [3960, 6702], [592, 8219], [1182, 11468], [2054, 11397], [7787, 8890], [1051, 6289], [7721, 10522], [2981, 5371], [8922, 9229], [2645, 9586], [2949, 9997], [3102, 6829], [7243, 10897], [3126, 4971], [868, 3549], [3504, 3611], [4748, 6152], [1659, 10494], [20, 11561], [299, 4560], [10413, 11243], [601, 4898], [2373, 6804], [4955, 10013], [7286, 9439], [3647, 10685], [5203, 7082], [4415, 9510], [3047, 5213], [7040, 9383], [4397, 8150], [3929, 6584], [6607, 9501], [3541, 5721], [3988, 7164], [3554, 10090], [2329, 6101], [4259, 5183], [6432, 8187], [3853, 7878], [1573, 10669], [3801, 6964], [4647, 7924], [5429, 11343], [4211, 8525], [3379, 11378], [910, 11264], [4052, 7714], [6385, 10219], [4081, 6200], [1381, 4433], [2464, 10998], [876, 2985], [5237, 11523], [5165, 9957], [380, 5033], [6751, 8475], [4610, 8392], [4044, 9701], [1401, 8468], [4885, 10317], [8211, 9328], [4697, 11020], [6593, 11272], [1043, 9699], [6524, 9600], [4148, 6267], [5777, 8619], [1171, 5912], [7337, 8922], [7886, 9164], [861, 4932], [8042, 9677], [1634, 4855], [6787, 6977], [3099, 7550], [4025, 4332], [4709, 4964], [2242, 2267], [6696, 10996], [1161, 1410], [6290, 10308], [5491, 8383], [5756, 9620], [4851, 7299], [9400, 9472], [2058, 9505], [1831, 10280], [11273, 11430], [3018, 5117], [5325, 6401], [1708, 11378], [8653, 11120], [9861, 10998], [2922, 8792], [1735, 6785], [2767, 4717], [1489, 4100], [1619, 9808], [4135, 9014], [1213, 8366], [3761, 6329], [2846, 3320], [6001, 6391], [9428, 11116], [1972, 10111], [759, 2719], [6772, 8897], [1549, 10917], [3934, 7196], [11000, 11429], [105, 1148], [3594, 7505], [2278, 4152], [545, 5584], [1596, 7730], [386, 11189], [5460, 9046], [4545, 6037], [6110, 6684], [4135, 7859], [5418, 8820], [6507, 7286], [6136, 9036], [224, 10080], [2088, 10794], [10851, 10932], [1799, 4275], [8648, 9971], [1200, 9608], [2612, 7007], [4757, 9461], [1959, 11323], [8027, 10792], [411, 4614], [9825, 10886], [4182, 4241], [8977, 9099], [1284, 8151], [2882, 11190], [3314, 10847], [503, 1170], [5640, 9929], [103, 10096], [634, 10486], [668, 9316], [5288, 9477], [2834, 10395], [5107, 6433], [105, 3726], [10521, 11528], [1393, 5061], [4197, 7151], [6633, 8283], [2180, 2408], [9979, 10198], [3226, 4210], [6226, 10376], [1605, 6637], [2699, 11109], [2411, 8198], [8517, 10403], [1829, 4810], [5682, 5967], [3168, 6834], [3846, 6520], [3435, 4734], [1630, 4600], [8482, 10567], [6328, 10279], [3678, 7875], [4798, 7906], [3681, 5140], [1279, 7002], [4088, 9436], [6636, 7399], [8687, 8720], [5574, 10756], [4701, 4940], [2680, 2707], [7817, 11466], [9747, 10548], [2957, 11094], [1455, 8517], [1486, 3666], [1890, 8445], [5004, 9263], [4602, 10946], [5557, 6214], [3729, 10792], [1690, 3846], [10538, 11427], [913, 4154], [3616, 6192], [8999, 11220], [5482, 6979], [3212, 11212], [5351, 8216], [1908, 2958], [499, 2824], [1011, 11078], [5232, 6804], [2527, 4693], [2031, 4489], [441, 8481], [2650, 6978], [995, 3405], [1308, 1650], [3171, 5926], [2522, 7732], [6940, 10388], [6868, 8822], [4292, 8811], [82, 442], [2772, 4874], [1914, 2399], [2853, 10720], [6213, 10059], [7581, 7940], [1918, 9688], [4934, 9217], [1885, 7296], [3734, 6948], [4878, 5121], [6433, 9244], [1395, 6880], [6431, 8417], [5490, 10603], [2260, 9802], [6673, 7950], [4367, 10274], [8823, 9250], [5886, 7570], [5669, 9033], [6889, 7016], [8036, 8870], [6477, 8011], [6174, 8202], [10845, 11304], [7564, 9814], [5634, 9951], [1964, 8878], [5388, 10676], [2124, 6881], [436, 7332], [1145, 5577], [3173, 8200], [1621, 5506], [2713, 9905], [9029, 9476], [1682, 9165], [7649, 7828], [4510, 9397], [7965, 10508], [2335, 10484], [203, 7511], [2629, 3791], [7794, 8182], [550, 11002], [6749, 9234], [5743, 11025], [1478, 7830], [1285, 7435], [4588, 4742], [2649, 7826], [5615, 8746], [1193, 8600], [2755, 8976], [3407, 6687], [4305, 8591], [79, 5351], [5894, 10790], [7203, 7310], [744, 7461], [4486, 7848], [2082, 8883], [3897, 7453], [1524, 10053], [5944, 7874], [4755, 5794], [6434, 6755], [100, 6578], [8560, 9913], [7896, 10687], [210, 10910], [2018, 8309], [3475, 6979], [4445, 8197], [176, 4129], [5566, 11082], [6034, 6986], [4962, 9655], [11011, 11326], [2849, 5204], [522, 1733], [1138, 3951], [2977, 3669], [5712, 7874], [5301, 6088], [1815, 3412], [6670, 6823], [1291, 10582], [1254, 8448], [3278, 7165], [6690, 6694], [3706, 10086], [10641, 11392], [2946, 7365], [7463, 10000], [5969, 11448], [5742, 8059], [3725, 4070], [4253, 10605], [850, 3268], [6980, 10031], [1885, 4881], [4144, 9157], [7985, 8769], [2534, 8710], [5366, 6432], [5399, 11453], [7376, 10381], [1963, 2478], [7816, 10653], [6130, 7767], [3235, 3280], [3768, 10159], [4040, 8403], [2551, 6031], [5070, 5508], [832, 11333], [4414, 10307], [7340, 11074], [5931, 10940], [3009, 10292], [1333, 6596], [331, 10758], [42, 75], [410, 2191], [6992, 10741], [3470, 8408], [6990, 9914], [144, 7899], [6641, 9760], [3618, 5273], [1904, 7509], [4459, 6643], [1682, 8628], [2535, 4343], [3609, 8193], [128, 5861], [8603, 10228], [726, 6719], [2777, 3876], [2147, 3480], [5207, 7445], [8459, 9725], [9183, 9756], [4575, 11140], [3575, 11211], [2835, 11401], [235, 6108], [9637, 10865], [3720, 11565], [573, 6103], [827, 2987], [6768, 6845], [6988, 9063], [10816, 11476], [487, 10466], [10719, 11543], [6926, 11568], [166, 4409], [3999, 10576], [2721, 3543], [112, 7556], [4489, 10211], [4396, 7768], [220, 4645], [5729, 8846], [691, 10646], [2991, 8507], [4486, 7661], [1719, 11088], [811, 2080], [1960, 7013], [6514, 9530], [2740, 10359], [278, 5000], [1522, 7541], [4481, 6536], [7218, 10814], [2762, 5422], [2359, 4251], [1951, 6900], [4936, 7116], [1515, 3337], [1976, 7896], [9111, 10768], [6499, 8848], [4837, 10520], [4479, 6840], [2610, 11417], [582, 9548], [1829, 10852], [1082, 9871], [708, 11350], [5460, 6712], [633, 8732], [20, 10195], [4676, 5849], [317, 10189], [2311, 10976], [3113, 5248], [6504, 11070], [695, 6577], [3642, 4811], [1933, 10801], [652, 9132], [2739, 5946], [7630, 11266], [5851, 5937], [370, 7167], [1958, 9518], [3231, 9791], [3066, 5028], [2344, 5797], [4304, 6219], [1532, 9302], [3438, 7236], [5831, 8294], [690, 8461], [1032, 8198], [510, 9025], [6200, 9854], [4494, 8945], [8410, 11205], [4632, 8909], [5822, 9679], [1061, 10067], [3642, 4006], [572, 6870], [4648, 6379], [5548, 8356], [6283, 8576], [4629, 7857], [10487, 10714], [7350, 8192], [2737, 2816], [10445, 10488], [7098, 11354], [6193, 9033], [1262, 4314], [5440, 7483], [493, 4483], [1520, 8487], [517, 2625], [4557, 6641], [9264, 9400], [1048, 8677], [7242, 11483], [4219, 10029], [6521, 7936], [791, 8462], [2525, 3468], [4178, 10378], [4701, 5989], [2524, 10413], [9344, 11207], [3952, 8345], [4953, 6210], [8098, 8593], [873, 9965], [2554, 5337], [2666, 6332], [3887, 6415], [1731, 5300], [1613, 10906], [1306, 9443], [9926, 10781], [3665, 4501], [5087, 11286], [3196, 9126], [2107, 4998], [10472, 10725], [2910, 9294], [1609, 10383], [6805, 9923], [6860, 9630], [542, 9986], [6772, 7531], [1316, 9380], [1605, 7231], [4921, 10435], [5862, 8249], [4833, 7582], [3556, 9819], [2809, 8838], [244, 2600], [9746, 10971], [1410, 2976], [3793, 9008], [40, 9186], [5262, 9947], [7137, 8568], [7696, 10252], [2463, 11584], [4641, 7762], [2757, 11307], [3598, 5507], [6247, 9938], [2352, 10440], [3721, 7011], [3504, 8474], [4215, 8300], [6300, 10703], [78, 10767], [2468, 7390], [606, 6722], [3276, 3362], [1091, 3761], [1352, 1816], [9065, 9832], [7482, 8579], [813, 7200], [3989, 8896], [4858, 5144], [1941, 11256], [4525, 8876], [411, 6631], [1006, 10978], [2245, 6005], [1470, 2976], [1427, 5558], [487, 4936], [1190, 9752], [4036, 4928], [206, 2442], [4727, 8983], [7533, 11146], [2977, 8556], [3362, 8367], [8897, 11537], [673, 4537], [1638, 7663], [6397, 6448], [1639, 10517], [460, 9125], [2317, 3033], [8923, 9725], [2445, 5662], [8888, 11424], [5115, 5308], [4631, 8871], [4215, 7495], [3069, 8495], [3600, 8131], [5432, 10088], [6326, 8086], [3153, 10071], [10348, 10742], [7757, 9699], [6707, 11161], [10840, 11204], [1934, 9280], [2333, 7299], [1565, 5441], [3708, 11232], [8599, 10136], [934, 11236], [1495, 3167], [5077, 5551], [1734, 3183], [271, 2032], [4042, 8075], [6833, 9206], [2426, 10092], [3388, 6531], [1141, 6052], [3322, 8917], [7838, 7944], [3163, 7352], [1229, 11534], [8600, 9987], [143, 10333], [755, 5235], [3282, 8737], [2993, 8634], [6324, 7235], [4092, 7788], [3958, 4590], [6384, 7286], [8235, 8519], [2347, 7705], [2929, 11093], [535, 6400], [11340, 11503], [5381, 5561], [2280, 9866], [154, 292], [4571, 9893], [1157, 8783], [1305, 9435], [940, 4584], [6258, 9217], [3329, 11562], [8458, 9880], [3565, 3733], [5311, 6670], [10820, 10871], [5849, 7477], [4469, 8835], [2301, 3923], [2330, 9579], [477, 5267], [3993, 10037], [5679, 8759], [1207, 2834], [6464, 9443], [1820, 4000], [2092, 2244], [6076, 8580], [2196, 6731], [3089, 7537], [3275, 4509], [4897, 11352], [4520, 9150], [4179, 8857], [1058, 5370], [7526, 11374], [1992, 5396], [865, 4194], [94, 2819], [124, 10575], [680, 2162], [4193, 8913], [9611, 11498], [7519, 7924], [2080, 4462], [549, 9815], [3947, 5474], [6746, 11384], [1669, 3430], [3984, 8739], [516, 1007], [8710, 9296], [2733, 3529], [2796, 7261], [3467, 3524], [6644, 10326], [7740, 9963], [1508, 5175], [3960, 6840], [573, 1891], [8752, 11400], [7420, 7514], [2895, 9899], [4138, 8051], [4420, 11147], [1655, 8985], [8317, 8439], [6128, 11348], [4894, 10249], [188, 3928], [3292, 4058], [5110, 8561], [1433, 2907], [5847, 8827], [6212, 7262], [4159, 9278], [800, 6377], [1266, 11280], [1636, 6649], [5378, 7036], [3346, 7677], [10350, 11032], [2659, 6747], [10004, 10395], [107, 11294], [508, 5222], [2884, 2893], [4585, 8339], [1658, 7347], [598, 5115], [753, 2774], [443, 4046], [5427, 9557], [1566, 7758], [4706, 9797], [1375, 8190], [1155, 6726], [315, 8964], [1882, 4022], [6388, 8777], [476, 9821], [7594, 7828], [2528, 7580], [4121, 10275], [4114, 9104], [1183, 8370], [586, 3950], [87, 3071], [8966, 11463], [4262, 5969], [122, 8919], [588, 10412], [1641, 2805], [8957, 11350], [8324, 10683], [3498, 6512], [4938, 5959], [3183, 5188], [3566, 4926], [5873, 10374], [3409, 4188], [1473, 7543], [2620, 9397], [1169, 10515], [694, 11188], [8784, 9328], [3741, 5866], [1590, 5095], [1251, 5629], [1688, 6384], [1120, 6866], [5636, 5893], [3674, 8027], [5047, 6252], [446, 3889], [6191, 10841], [4582, 7613], [7102, 9944], [7369, 7844], [4475, 9244], [4330, 6611], [213, 685], [3953, 4409], [2301, 6769], [1711, 3520], [147, 6481], [6253, 8686], [646, 3950], [8812, 10191], [1799, 9756], [1929, 8294], [387, 8570], [227, 4905], [6579, 10549], [2513, 5312], [3600, 9367], [1513, 10301], [6611, 8552], [7550, 10457], [5308, 9568], [3216, 5994], [4461, 8383], [1407, 1954], [5140, 10923], [904, 1333], [5299, 8701], [2832, 9387], [8000, 11043], [6446, 7522], [677, 11126], [10880, 11465], [5850, 6710], [6958, 9390], [8986, 11259], [4041, 9086], [586, 5723], [1479, 6529], [8545, 11516], [4663, 8840], [652, 9726], [2915, 5076], [4682, 6638], [1416, 8432], [5406, 5915], [5184, 7788], [5065, 5622], [5645, 8183], [2914, 11267], [5903, 6721], [3432, 6534], [479, 10737], [4933, 7388], [3706, 8988], [5206, 8486], [6546, 10735], [2866, 4810], [1276, 8802], [2090, 4589], [510, 9269], [940, 8853], [4589, 6043], [1540, 10538], [1103, 4121], [6168, 10560], [523, 7252], [7415, 10366], [6699, 10196], [1006, 4188], [8585, 9760], [4486, 6295], [3297, 4215], [1893, 4425], [652, 8571], [612, 9172], [6904, 8349], [3382, 6016], [921, 10681], [2165, 6052], [5683, 6731], [1832, 3368], [4092, 11252], [5484, 6521], [9477, 10691], [5397, 8030], [1911, 5354], [636, 1248], [9414, 10342], [3461, 4215], [3493, 7136], [1416, 4594], [5805, 8764], [7197, 11203], [1846, 3424], [6104, 8831], [5514, 5582], [3363, 11227], [3402, 10401], [102, 4697], [6139, 11269], [4322, 9620], [3828, 6079], [3231, 8075], [7754, 9027], [435, 4348], [744, 11519], [5725, 9185], [5162, 10011], [7438, 9730], [3085, 5217], [1027, 7643], [807, 3173], [2257, 4836], [5255, 7923], [8178, 11425], [50, 6385], [7804, 8740], [1766, 4949], [5162, 10361], [759, 8013], [7512, 8339], [10567, 11206], [6291, 10885], [1559, 9759], [2400, 3959], [591, 6335], [7498, 10511], [6570, 10650], [710, 1304], [5534, 8812], [302, 3199], [8302, 11245], [706, 3814], [1891, 1988], [5089, 8169], [1360, 5735], [6926, 10470], [4716, 6086], [7152, 10224], [1170, 3359], [173, 7865], [1221, 5576], [2592, 9390], [5768, 11086], [2036, 5725], [6203, 11014], [503, 3081], [604, 3887], [4181, 5927], [9351, 10662], [2873, 8851], [5237, 10669], [7565, 10578], [6644, 7724], [6477, 9304], [3311, 6044], [2249, 9401], [6105, 7446], [1910, 3519], [4931, 10562], [6139, 6276], [3799, 9016], [2431, 4719], [870, 11361], [4610, 10921], [1329, 3015], [7553, 9413], [3518, 9905], [7434, 8001], [3232, 10073], [4574, 5979], [5868, 7129], [238, 7105], [1795, 7891], [1867, 3041], [3543, 5239], [2173, 10695], [3541, 4412], [1368, 6326], [8422, 9044], [5426, 10167], [10350, 11463], [646, 6341], [5374, 9977], [1692, 7389], [2889, 10084], [4529, 5455], [2165, 3637], [666, 6993], [4475, 8602], [2751, 9396], [2006, 9242], [5497, 5846], [1514, 8780], [426, 7506], [2291, 5439], [8354, 10980], [3180, 9509], [5550, 8109], [2436, 5039], [10343, 10642], [6604, 7520], [8587, 9646], [8805, 11037], [7217, 9440], [1336, 5633], [1093, 5875], [1898, 10998], [2237, 10464], [2457, 6266], [6681, 8679], [4040, 8273], [6996, 7751], [3794, 4834], [3047, 9515], [679, 10961], [6061, 6719], [9388, 10836], [1026, 1620], [1518, 2082], [179, 9857], [2264, 5844], [5493, 10584], [8335, 8994], [5126, 9070], [4037, 4188], [2003, 4756], [5526, 9943], [5550, 10337], [538, 6942], [3494, 6420], [6577, 7925], [4801, 6277], [3529, 8858], [1041, 8694], [3520, 11024], [781, 3667], [9125, 9271], [32, 5269], [3022, 10747], [5952, 9004], [1714, 5003], [5607, 11221], [2651, 5327], [5853, 8244], [2147, 3350], [7379, 8963], [6231, 7638], [3442, 5856], [709, 8113], [1433, 8144], [2302, 8556], [9182, 10155], [3692, 6004], [4378, 6709], [6057, 8424], [1883, 1964], [4158, 7874], [7864, 8604], [5393, 6165], [3228, 7940], [5458, 6560], [325, 11506], [2469, 8854], [5863, 7777], [4495, 8398], [5859, 11041], [40, 5860], [5055, 6520], [2529, 6626], [2534, 6970], [7513, 7973], [244, 2657], [8005, 8435], [6066, 11519], [495, 6440], [4147, 10317], [10212, 10269], [4916, 7115], [1306, 8345], [530, 2462], [3805, 9799], [8774, 10114], [3490, 8475], [3679, 11380], [5441, 8434], [8798, 9010], [9018, 10474], [1976, 4383], [57, 9597], [336, 2596], [5910, 11356], [1547, 1991], [5090, 10836], [3078, 6437], [2259, 10306], [3288, 7967], [170, 10413], [299, 6097], [17, 3001], [6272, 8712], [379, 7554], [4830, 6186], [3615, 9301], [3221, 3712], [7508, 9857], [5369, 10601], [9003, 9011], [8934, 11126], [2836, 8782], [1248, 7185], [475, 4983], [8790, 11347], [3329, 9846], [2238, 4891], [3333, 6555], [5879, 7855], [242, 10824], [1248, 7535], [2487, 2562], [3753, 8080], [9078, 10474], [2258, 2510], [432, 1499], [2390, 2629], [1708, 8459], [1574, 6015], [8265, 10371], [9628, 11291], [13, 11122], [2664, 10718], [2929, 5539], [1127, 11338], [4618, 7942], [4709, 7306], [10156, 10629], [1940, 7654], [3901, 8301], [1804, 4383], [3457, 11293], [1213, 7325], [9769, 10368], [3024, 11411], [3385, 5940], [4570, 10530], [122, 9163], [2522, 7228], [9511, 9551], [6462, 6876], [8177, 10500], [6071, 7220], [10510, 10753], [1300, 6920], [9882, 11184], [6497, 9314], [4508, 6619], [7147, 10362], [6951, 7040], [7236, 9653], [3623, 5704], [3105, 4021], [2379, 3163], [8084, 11440], [4840, 8297], [6237, 11080], [4833, 4874], [1906, 11052], [5514, 8241], [7924, 10404], [2468, 5837], [3121, 4904], [4526, 7548], [223, 8814], [3584, 9509], [5511, 11326], [2951, 5432], [6913, 8037], [4103, 7630], [8590, 8925], [211, 4266], [178, 8290], [959, 8855], [3420, 7573], [2510, 4908], [3723, 5130], [9335, 10210], [1921, 4513], [5496, 5726], [5840, 10454], [5716, 7944], [8517, 10517], [728, 9107], [4186, 9735], [6808, 10091], [3310, 5900], [1608, 3235], [6279, 10501], [3777, 8749], [3408, 6408], [1066, 6069], [1561, 6048], [4116, 5182], [2338, 9123], [6851, 8633], [1748, 5874], [4767, 9838], [182, 1592], [1224, 6628], [7602, 11241], [2215, 7969], [1248, 4770], [594, 10396], [3827, 8462], [3576, 4679], [3016, 9186], [9268, 11216], [6339, 9397], [3911, 10038], [6244, 10291], [2885, 3226], [4471, 8914], [4526, 8621], [6804, 9167], [3159, 5680], [7861, 8095], [2252, 6696], [5467, 9818], [5113, 9320], [9321, 10446], [6365, 8716], [5122, 9783], [2746, 6450], [2940, 9699], [8284, 9137], [2346, 8960], [1904, 2199], [1835, 4314], [5800, 6436], [2710, 3760], [595, 9062], [2059, 8903], [8621, 9661], [1995, 4946], [185, 10884], [625, 11156], [9563, 10329], [4541, 6246], [4477, 4541], [5067, 5538], [10987, 11525], [7928, 8162], [2508, 9668], [6847, 8059], [5973, 11467], [1453, 3616], [214, 6337], [6026, 10347], [5972, 7078], [507, 2425], [1785, 3796], [642, 8477], [4928, 5352], [146, 11279], [4711, 6815], [1944, 7990], [4488, 8463], [3614, 5455], [3804, 11214], [1039, 9052], [2156, 2396], [5182, 9783], [506, 6337], [4676, 4727], [4454, 5846], [1410, 4269], [2559, 9202], [3146, 6518], [4610, 6359], [5446, 6631], [4821, 10743], [4430, 11087], [4976, 8402], [2806, 3417], [3642, 3689], [2079, 9504], [1673, 8062], [2, 4710], [3455, 4994], [4327, 7175], [9617, 9760], [8619, 11412], [7308, 7649], [985, 7661], [4257, 9065], [2077, 3392], [1022, 3756], [3594, 6277], [4628, 5036], [5780, 9486], [5341, 6406], [81, 2909], [912, 2837], [1538, 5743], [1970, 1990], [2625, 9798], [4094, 7731], [2191, 7062], [2134, 6528], [4454, 11457], [259, 10536], [6816, 10950], [4142, 10404], [1938, 5835], [312, 7918], [1864, 7606], [3488, 9614], [3579, 11230], [5107, 6360], [3482, 11297], [6625, 10601], [340, 517], [4016, 8952], [2450, 3916], [3100, 5718], [3700, 9655], [956, 1954], [5935, 7121], [3378, 7160], [6518, 9199], [8928, 11362], [3030, 3444], [4994, 7772], [1847, 9480], [1822, 11113], [7417, 10170], [3398, 5533], [719, 8807], [510, 10131], [448, 7001], [3087, 10744], [855, 11297], [3374, 3604], [6512, 8980], [7728, 9473], [118, 10280], [2614, 8053], [434, 1626], [652, 9433], [4454, 7619], [1866, 6847], [4010, 4195], [1048, 6400], [516, 7293], [2890, 9799], [1135, 9028], [574, 10681], [2601, 3280], [3905, 5872], [6993, 11131], [4495, 6869], [6117, 8050], [9267, 10777], [1855, 2901], [9363, 10485], [3162, 9174], [6297, 6705], [2009, 9003], [5302, 11284], [39, 4106], [639, 2381], [3687, 11247], [2567, 4800], [807, 3685], [7291, 10946], [626, 641], [10687, 10696], [6640, 9673], [4422, 7680], [5879, 10514], [96, 7242], [4046, 8332], [626, 991], [8334, 9417], [1961, 2896], [1558, 8141], [6995, 10022], [8277, 8883], [6964, 8457], [10455, 11477], [923, 7401], [2824, 11407], [438, 8110], [677, 3962], [8677, 9002], [4976, 9370], [2077, 4010], [4373, 10797], [4994, 9195], [3913, 9092], [4873, 11120], [598, 1602], [1222, 4435], [5989, 7999], [2477, 4102], [5925, 10458], [1844, 3435], [811, 6032], [2244, 10724], [3560, 8415], [4614, 10078], [9866, 9927], [3923, 9406], [1748, 10493], [1146, 5729], [6914, 11322], [2432, 11125], [7998, 9444], [1611, 6997], [611, 5570], [8339, 8956], [1088, 8353], [2908, 9549], [1290, 11493], [956, 5955], [8636, 11579], [2693, 11058], [6960, 7129], [2409, 11299], [7542, 9736], [5680, 9068], [969, 2403], [1758, 6993], [4115, 5388], [247, 2418], [4178, 9874], [8381, 10656], [2280, 3133], [2364, 7742], [1649, 8928], [615, 8671], [3574, 7666], [929, 9770], [2328, 2800], [7023, 10460], [2849, 8164], [2824, 3381], [449, 10072], [3492, 11424], [300, 3533], [2462, 7122], [4368, 8062], [6453, 8213], [407, 6813], [2225, 11316], [1907, 6311], [658, 4180], [6483, 10307], [3455, 9263], [7408, 9870], [9116, 10071], [687, 6049], [38, 1439], [3830, 7605], [9622, 11340], [1341, 10222], [1697, 10823], [2382, 5264], [921, 11356], [5817, 10604], [1958, 3216], [1861, 9699], [1634, 10474], [576, 741], [4220, 4757], [4973, 9690], [3729, 7149], [4216, 7267], [114, 121], [824, 8390], [1290, 3467], [2910, 7985], [11, 2625], [602, 8728], [5392, 10990], [9714, 9774], [2119, 10115], [4150, 9249], [7877, 8604], [4427, 7837], [3615, 5707], [251, 4714], [1216, 11250], [4886, 5907], [1734, 6517], [592, 4225], [9396, 11535], [5820, 10097], [6334, 7874], [3753, 7519], [4904, 6863], [7056, 11242], [1514, 11065], [8272, 10981], [3373, 5019], [608, 2857], [5238, 9368], [5339, 10174], [262, 2220], [1406, 6809], [287, 9632], [3026, 11327], [1033, 11142], [1602, 7098], [5428, 6432], [2121, 5219], [65, 1302], [5414, 8254], [3423, 11148], [10332, 11233], [9363, 11371], [1243, 2442], [4167, 8798], [1302, 9438], [5689, 10529], [2972, 6903], [2352, 11359], [8942, 9247], [1204, 9280], [1293, 2155], [3748, 9753], [3443, 9871], [1506, 3202], [418, 7590], [1878, 2027], [2626, 6616], [5694, 6335], [9210, 10351], [2744, 3639], [3303, 5323], [3370, 7299], [2530, 9537], [1780, 8285], [652, 9864], [270, 7318], [7156, 9863], [5254, 5632], [2298, 10318], [6646, 8071], [853, 4111], [1730, 10800], [1477, 6944], [2701, 10708], [4367, 8054], [232, 11348], [3441, 4856], [789, 5789], [548, 6858], [4459, 4610], [417, 10347], [3092, 7331], [819, 7883], [1039, 10101], [3274, 9065], [880, 8536], [5701, 6701], [3336, 6910], [5817, 10067], [1834, 4333], [9235, 11296], [1561, 8870], [8591, 11194], [3085, 6510], [618, 3813], [1586, 4204], [6410, 7548], [1383, 3121], [8182, 9454], [3380, 9841], [8982, 10069], [4477, 8168], [4655, 10160], [1013, 1309], [7676, 10787], [2225, 3558], [8644, 10424], [2135, 4796], [2469, 3918], [3962, 9415], [3750, 11222], [2346, 11432], [7198, 11162], [2069, 6428], [257, 11539], [3899, 8312], [2715, 6576], [6075, 10833], [3499, 10822], [132, 10312], [5385, 10386], [3868, 10130], [2266, 6191], [7025, 9140], [9738, 11112], [4881, 5376], [1271, 11524], [2765, 6289], [8169, 10696], [1897, 11397], [372, 9368], [10549, 10738], [1573, 8075], [2543, 11545], [389, 6339], [6311, 10147], [180, 6165], [2288, 3856], [7741, 8125], [2277, 2943], [1815, 10991], [542, 4302], [2498, 8769], [1346, 9200], [2368, 8696], [1817, 11037], [2655, 5720], [1129, 5001], [1774, 7957], [2627, 10088], [6127, 10218], [5834, 6933], [3305, 6768], [9088, 10040], [6572, 10834], [7666, 9644], [9113, 11036], [2955, 2979], [4109, 8256], [2017, 4682], [5542, 6532], [1247, 5407], [1837, 9410], [557, 4960], [6785, 8848], [3514, 8046], [2175, 8651], [5403, 6373], [4821, 7149], [4666, 10244], [6536, 10773], [307, 8168], [6558, 6590], [4978, 11270], [3168, 3622], [2043, 4001], [652, 10832], [726, 1921], [304, 7116], [8296, 8885], [4841, 5522], [5178, 10577], [6093, 7170], [2434, 2876], [1253, 4821], [4896, 8612], [402, 484], [1807, 9544], [8718, 10456], [3145, 10966], [1650, 5396], [3461, 6476], [1871, 10468], [4519, 5629], [2673, 5494], [2560, 11444], [10086, 10966], [7345, 9198], [4692, 7277], [7147, 8459], [2950, 4459], [2050, 2482], [4875, 9613], [8966, 10154], [3670, 7000], [8424, 10359], [2042, 8256], [4067, 10608], [4963, 8679], [665, 11043], [2904, 10880], [5397, 9136], [419, 10987], [6140, 6211], [173, 1132], [3466, 5665], [7948, 10780], [7227, 10266], [3055, 4633], [1545, 7800], [1134, 6768], [1430, 3154], [7443, 8578], [9750, 9862], [7859, 10708], [376, 7126], [4051, 5537], [4228, 4675], [2989, 3232], [659, 6660], [3867, 7113], [932, 5506], [151, 5695], [90, 7671], [3924, 11030], [2484, 11583], [6410, 7361], [6088, 11282], [3502, 11337], [4539, 8859], [1858, 4890], [4654, 7119], [5125, 6704], [4371, 10214], [1043, 8878], [4002, 6375], [1634, 7067], [1406, 4207], [3496, 11118], [2433, 4424], [7223, 9692], [1738, 3633], [1997, 11441], [6477, 11565], [2802, 5984], [1613, 8068], [1951, 8063], [244, 4300], [1419, 4038], [866, 10470], [1885, 3279], [4597, 5780], [2160, 8587], [2693, 4886], [5371, 8557], [5827, 6356], [3805, 9937], [6105, 8552], [1960, 10404], [7846, 11145], [2247, 10434], [1285, 10989], [4518, 9055], [7387, 10042], [9405, 11223], [3830, 8654], [1428, 4100], [6438, 10832], [3795, 9599], [309, 507], [5730, 9025], [4505, 5036], [6748, 8779], [3565, 10076], [7235, 8897], [791, 10080], [6620, 7281], [7614, 8893], [1139, 10763], [2316, 11328], [10139, 11568], [10077, 10690], [3183, 10913], [3403, 8967], [4597, 4975], [8860, 10726], [5866, 8512], [1604, 5615], [3588, 5714], [3684, 5422], [3988, 8839], [4096, 10062], [4963, 9647], [417, 7745], [3400, 9046], [286, 2566], [2345, 10164], [4083, 9076], [7877, 9653], [6732, 7091], [2954, 4795], [2150, 9696], [529, 11369], [3511, 5652], [7556, 10012], [3731, 7870], [6876, 10253], [3047, 4205], [4695, 10771], [493, 2263], [8017, 8128], [7431, 11414], [273, 7592], [5364, 9590], [176, 9911], [5191, 11325], [6671, 8693], [4969, 6028], [4984, 6336], [3532, 7229], [760, 3896], [3, 1473], [1873, 6920], [6, 5154], [4176, 10714], [1590, 10015], [8694, 11322], [5907, 6203], [683, 11031], [3761, 5776], [3365, 5776], [70, 6832], [37, 10856], [6040, 9176], [4763, 4997], [1652, 7860], [5043, 7266], [4749, 6819], [9120, 9629], [4015, 10207], [1370, 8147], [3817, 6058], [1327, 5067], [5277, 6157], [8236, 9316], [4036, 8051], [4898, 9544], [3680, 6726], [2035, 3841], [5064, 8493], [4501, 9319], [6645, 6667], [9855, 10199], [1753, 10544], [1854, 11350], [1275, 4503], [3052, 9759], [810, 2454], [6611, 10439], [2024, 5530], [1715, 8158], [5297, 10542], [3074, 4041], [7404, 11014], [8216, 10892], [33, 6145], [2297, 10765], [3701, 8303], [8372, 11405], [10359, 11021], [2673, 7080], [3377, 4981], [8953, 10404], [8586, 8890], [5644, 6866], [4477, 6989], [5191, 6332], [3376, 11172], [2732, 11070], [5647, 10547], [4059, 4786], [5986, 10013], [201, 6668], [3124, 3754], [3528, 7779], [749, 1023], [2818, 10063], [4714, 9561], [10024, 10169], [8101, 11477], [8815, 10820], [2435, 3128], [1817, 4247], [905, 4919], [3174, 9883], [8062, 9270], [1054, 8425], [963, 2645], [4326, 5665], [465, 8030], [7218, 7602], [3959, 4151], [1896, 5479], [5380, 11492], [2604, 4253], [4624, 6261], [3070, 5746], [52, 3138], [831, 9292], [1505, 2066], [577, 9375], [1635, 7774], [1506, 5674], [1294, 7481], [293, 3200], [9475, 11401], [2844, 7096], [2467, 11310], [4127, 5805], [1264, 3108], [5333, 7862], [3779, 10757], [1042, 4227], [8545, 9215], [4345, 7196], [126, 7409], [690, 3021], [7131, 7956], [6286, 9850], [2005, 2739], [5785, 11554], [1595, 10977], [3233, 4023], [7912, 11150], [4667, 11569], [5794, 6355], [1307, 1650], [2831, 5706], [806, 3354], [10389, 10401], [2266, 4207], [3885, 5117], [9612, 10709], [4008, 9654], [3695, 4993], [3538, 11425], [8333, 9867], [1115, 1830], [8828, 9846], [6671, 8506], [762, 7569], [9724, 11300], [4208, 6682], [4276, 10758], [1198, 3935], [1406, 4638], [2027, 7200], [3085, 5599], [5769, 7587], [1037, 6461], [8664, 9041], [7599, 8717], [9561, 10720], [722, 4356], [5383, 6770], [1021, 10839], [1052, 5988], [723, 7210], [1513, 11301], [10761, 11454], [900, 6348], [4659, 10122], [526, 3663], [3255, 3916], [390, 10972], [8953, 11022], [2482, 8130], [519, 6656], [5933, 7587], [5131, 6145], [5747, 8363], [8297, 9405], [4262, 9897], [833, 2093], [5091, 8998], [9817, 10309], [5720, 9923], [4409, 6160], [3757, 8449], [3913, 8962], [5451, 10472], [480, 3668], [2248, 8084], [2368, 8940], [7256, 7573], [10153, 10608], [1247, 8684], [6515, 10544], [2866, 3932], [901, 1631], [1310, 6754], [10119, 10243], [1989, 7042], [7253, 10658], [3860, 8927], [467, 2278], [6869, 7285], [5630, 10006], [6179, 6838], [2507, 4938], [917, 2514], [6395, 11566], [6708, 9811], [4665, 6853], [1293, 5245], [5119, 10241], [1726, 8510], [1129, 4090], [4628, 11135], [1359, 6996], [8136, 11126], [6962, 10078], [9013, 11399], [7915, 9437], [3620, 10564], [1980, 8777], [7828, 10192], [561, 11338], [5727, 5751], [38, 2114], [2641, 10364], [6135, 6485], [1677, 10846], [5340, 8496], [6902, 8872], [3015, 5852], [4228, 6074], [3511, 6433], [394, 9481], [1160, 4850], [4649, 4791], [5870, 11290], [4965, 8969], [5839, 9725], [4067, 7819], [10321, 10676], [4557, 5202], [6449, 7964], [1531, 9866], [3991, 5730], [6076, 8133], [1038, 9933], [1456, 1586], [4948, 7460], [2207, 9856], [689, 8998], [9178, 10819], [8899, 11404], [6468, 8364], [5031, 6182], [1822, 6258], [717, 8013], [1667, 2937], [1169, 4912], [1017, 10934], [3159, 8209], [325, 9660], [168, 9676], [636, 4826], [1265, 8003], [3624, 9477], [4372, 7650], [6460, 7318], [2723, 8029], [4994, 6650], [3838, 6962], [6386, 9089], [4859, 10397], [7321, 9340], [1688, 7547], [1099, 7152], [970, 4298], [6007, 9443], [8653, 10193], [185, 581], [0, 801], [4139, 10458], [6811, 10931], [5016, 5069], [2889, 8856], [704, 8501], [7529, 10393], [7462, 8417], [96, 3892], [1579, 8701], [1171, 4180], [3479, 9072], [3103, 9724], [4399, 5285], [908, 2265], [1976, 6270], [4431, 10458], [1475, 8728], [8071, 10568], [232, 3379], [5077, 7600], [7255, 10948], [4708, 10177], [658, 5473], [1220, 6674], [2276, 9164], [1459, 6690], [1054, 8856], [3459, 4259], [3361, 3724], [6002, 8294], [3242, 6476], [4322, 9360], [3802, 11014], [6773, 7390], [11198, 11217], [3390, 5593], [7712, 8541], [4474, 10131], [7558, 8074], [762, 5422], [5161, 10280], [5095, 5496], [164, 777], [7414, 7571], [4473, 9125], [3501, 9746], [4129, 9315], [5177, 7780], [7860, 8789], [2029, 11515], [1886, 8955], [3001, 8642], [9501, 10020], [3684, 5666], [4372, 6040], [6508, 9162], [1709, 6814], [721, 8400], [6486, 10312], [2439, 10043], [3179, 7601], [7726, 8947], [1623, 4007], [1619, 7271], [7498, 10251], [1670, 9488], [4018, 4357], [2762, 5219], [7581, 8973], [1573, 6522], [5714, 10590], [2412, 4059], [1254, 7708], [36, 726], [7332, 8619], [1198, 10782], [3055, 4690], [1436, 3026], [6774, 9789], [4119, 11205], [3233, 6682], [3714, 6955], [8440, 9764], [3989, 8880], [1038, 9746], [842, 5670], [5164, 8618], [4696, 7052], [6447, 10333], [6158, 10230], [3355, 4578], [3215, 8705], [1061, 4253], [1087, 3222], [4944, 9783], [1799, 8154], [562, 10167], [5066, 8433], [5780, 7022], [768, 10043], [8672, 8959], [4966, 8983], [733, 10988], [4681, 4835], [3246, 3480], [5551, 8855], [6017, 9594], [7706, 9745], [7329, 9795], [5426, 6874], [479, 10290], [3127, 5451], [2874, 5005], [1974, 3028], [563, 2821], [595, 11404], [4275, 10913], [4982, 8331], [2592, 5292], [7325, 10026], [10460, 10967], [191, 10762], [626, 9936], [2744, 8315], [7596, 8045], [6202, 8943], [6847, 10401], [1625, 5476], [5978, 7737], [2831, 4527], [308, 1898], [3107, 3644], [3563, 7859], [5472, 6064], [2671, 4245], [2103, 4727], [6863, 11284], [41, 2493], [7950, 8169], [10566, 10962], [2620, 3152], [1154, 2484], [2499, 5077], [1561, 6780], [6325, 10073], [3023, 9958], [4114, 5087], [7541, 10566], [5881, 6649], [1559, 3701], [3238, 5416], [2868, 6637], [6603, 10017], [2933, 4780], [1770, 3921], [3745, 6910], [1035, 10871], [3989, 7270], [162, 10717], [7161, 7312], [1094, 11451], [394, 9562], [4289, 6781], [500, 10712], [1649, 9229], [3729, 4872], [8266, 9694], [2102, 6730], [6646, 8559], [176, 10773], [4839, 7598], [5611, 10329], [9343, 10028], [764, 5281], [5736, 9277], [9189, 9561], [2506, 4312], [173, 1807], [3720, 8142], [6731, 7327], [5722, 8066], [4211, 8379], [7034, 8267], [2358, 10456], [97, 9517], [2762, 8065], [6743, 10720], [4229, 11587], [3567, 6772], [9246, 9664], [6128, 9104], [5279, 10098], [2325, 5031], [6273, 10956], [5466, 9924], [2644, 6474], [304, 2798], [2221, 3927], [2666, 8707], [7729, 7903], [7918, 10808], [7608, 9828], [4019, 10437], [8470, 9069], [5572, 6563], [4796, 7096], [1969, 3302], [10005, 11005], [7753, 9428], [7125, 9859], [3897, 5721], [3398, 4842], [602, 2613], [932, 8409], [2365, 6685], [2554, 9590], [221, 2921], [6296, 9977], [2282, 11346], [2733, 5391], [155, 10969], [7089, 7169], [7969, 11123], [2580, 7778], [4039, 11439], [4600, 9786], [4254, 9149], [5813, 5844], [2053, 9015], [618, 3496], [2736, 6039], [86, 10051], [3052, 10971], [3004, 6793], [2735, 8820], [1448, 9615], [2348, 5176], [2377, 4416], [487, 1700], [9702, 10041], [7362, 8617], [3600, 4545], [3625, 5541], [6711, 10727], [4655, 6810], [6055, 9110], [7385, 10671], [1091, 9169], [437, 9877], [153, 4456], [2176, 5981], [6095, 11168], [4947, 9843], [2715, 9642], [1425, 5258], [8962, 11328], [459, 11329], [7744, 8510], [1304, 7183], [3146, 9828], [778, 10520], [8930, 9538], [6555, 9813], [917, 2758], [3721, 11264], [4760, 10367], [2286, 3493], [2007, 4078], [8796, 10477], [2815, 8718], [893, 7999], [2627, 9421], [2816, 3658], [7855, 11128], [4467, 9741], [3084, 4412], [4097, 4546], [6165, 9254], [2443, 3827], [6696, 8890], [9099, 10636], [2031, 2570], [2815, 9068], [1874, 4838], [867, 8656], [6947, 9640], [2797, 7738], [85, 8620], [9558, 11335], [307, 1085], [4413, 8350], [7219, 11267], [4380, 5958], [9216, 11571], [1295, 4380], [4939, 7642], [501, 6963], [6936, 7946], [4283, 6025], [205, 6443], [2505, 10720], [5440, 9321], [643, 9298], [6300, 7735], [6181, 6323], [2752, 4181], [665, 5115], [6771, 7320], [257, 2846], [205, 3410], [2197, 9786], [5179, 8233], [1997, 5968], [417, 10648], [285, 1861], [7723, 8706], [2499, 7118], [2463, 7461], [2094, 9284], [4489, 6251], [2555, 10433], [201, 9303], [325, 4643], [4518, 4737], [5225, 7073], [1878, 7939], [5321, 7535], [6847, 8254], [3207, 11527], [6877, 9594], [2586, 6713], [6440, 9593], [11365, 11491], [3012, 8807], [2838, 6934], [1368, 9530], [4131, 8613], [4757, 7355], [5844, 9158], [1057, 10577], [6866, 8654], [2826, 8802], [4746, 7196], [1580, 3936], [1105, 6861], [7871, 11556], [2469, 7252], [8924, 10365], [4903, 10563], [8726, 9626], [3879, 4578], [2716, 7883], [381, 4551], [4897, 9994], [4840, 9460], [1312, 1677], [193, 10916], [327, 1282], [2076, 10152], [3680, 10784], [6510, 7679], [5042, 10348], [3715, 6052], [3835, 4656], [2052, 8253], [4176, 10584], [9923, 11193], [1251, 4003], [9181, 10556], [2082, 3931], [1521, 5584], [2486, 8710], [1925, 6199], [3730, 4081], [1839, 4173], [2243, 11204], [52, 11034], [4169, 10544], [7813, 10396], [1022, 7334], [1177, 4993], [6352, 10072], [8422, 11443], [2285, 7673], [1459, 8089], [994, 6040], [148, 4326], [112, 8052], [2634, 11210], [10165, 11049], [504, 8283], [108, 1867], [5789, 10524], [842, 7524], [40, 6836], [2924, 3994], [7469, 8677], [2676, 10281], [1554, 9423], [8178, 11059], [8501, 9992], [5915, 9293], [5344, 6094], [1058, 3557], [63, 11142], [8993, 10454], [188, 9336], [1985, 6576], [1037, 7591], [2105, 7432], [2284, 2479], [8512, 10531], [7175, 7799], [7197, 10032], [5896, 6957], [5798, 10586], [3283, 7818], [1196, 8752], [948, 10902], [4520, 6182], [1134, 1458], [717, 8525], [7594, 9853], [7623, 8339], [1912, 7387], [343, 5840], [1028, 3691], [1817, 10533], [5304, 9647], [6565, 9159], [720, 9173], [813, 5200], [9806, 11250], [6498, 10566], [1708, 6052], [2448, 4364], [5787, 9242], [10099, 11502], [426, 1529], [636, 2305], [3266, 9692], [3843, 5566], [4911, 5407], [6026, 11510], [2414, 10415], [5929, 11577], [1547, 2162], [2190, 2793], [1384, 10277], [3091, 7624], [9262, 10224], [3345, 10924], [8350, 10896], [2496, 9666], [3802, 5915], [2491, 2906], [6545, 7729], [3484, 10709], [4702, 7111], [9005, 10009], [877, 11385], [4764, 7989], [2486, 5945], [2864, 11001], [3404, 8471], [940, 9455], [8810, 9541], [250, 9008], [470, 10472], [3417, 6454], [765, 971], [4658, 7943], [4107, 10284], [2961, 4868], [2801, 7619], [9805, 10974], [7615, 10275], [5531, 10726], [7582, 7883], [9364, 10477], [7710, 10512], [43, 10785], [1199, 6309], [5347, 11548], [1163, 4400], [3098, 3826], [417, 6273], [565, 6925], [4814, 8052], [2774, 4668], [7579, 10968], [2909, 10720], [4619, 7584], [231, 4016], [1093, 5509], [6977, 9587], [8102, 9962], [1994, 4678], [1536, 3046], [4795, 6497], [5113, 5840], [7248, 7606], [7161, 8361], [6101, 9135], [1175, 4760], [1933, 10037], [3149, 9776], [1372, 5274], [2415, 3395], [9300, 11000], [3352, 10135], [4389, 8411], [2885, 5007], [5906, 9044], [1862, 8292], [2721, 3852], [2098, 11043], [4260, 9694], [2013, 8461], [5210, 11034], [1506, 10350], [4149, 5167], [907, 2851], [3463, 4839], [875, 9729], [5448, 10044], [3674, 11475], [5539, 10162], [962, 5941], [163, 11186], [1691, 6316], [3712, 4762], [3519, 11537], [4269, 9783], [1029, 4130], [6378, 11082], [2792, 11208], [9428, 9441], [4910, 9587], [1830, 6101], [1016, 9560], [553, 7584], [403, 4607], [3259, 6887], [1172, 3657], [10330, 11464], [485, 2727], [2720, 5855], [1147, 5290], [514, 1213], [7148, 9953], [6929, 8337], [6486, 10019], [1445, 1722], [161, 6952], [101, 485], [4495, 4999], [3559, 7529], [386, 3098], [8603, 8927], [4496, 7853], [1841, 5105], [571, 8513], [3393, 4793], [1378, 3883], [4950, 5579], [1247, 4366], [5761, 7484], [3206, 9104], [3369, 10034], [1274, 2779], [5668, 11457], [1117, 2795], [7811, 11586], [1806, 9433], [1930, 5527], [2448, 7210], [2494, 7555], [3182, 7175], [2206, 3890], [2610, 10921], [9420, 11027], [7431, 8332], [2636, 9890], [1562, 6040], [8764, 9410], [8891, 11437], [1577, 7102], [2862, 8890], [806, 809], [1852, 9027], [7216, 10595], [8895, 11556], [4573, 9362], [5220, 6729], [360, 722], [8143, 10231], [3284, 7078], [42, 1352], [5205, 9080], [831, 5942], [5919, 7669], [951, 10208], [581, 5013], [5920, 10523], [471, 7127], [4094, 9512], [1256, 1395], [5987, 9466], [384, 11265], [1346, 7704], [4132, 5081], [3335, 3983], [3049, 9813], [4363, 10841], [2460, 10172], [5199, 11113], [4263, 7227], [9920, 11326], [4538, 9152], [8266, 11361], [492, 5321], [3420, 9167], [2011, 2617], [264, 5871], [1987, 7858], [2080, 3885], [7604, 8394], [6513, 7603], [5840, 9015], [1759, 2746], [8660, 10884], [8751, 11002], [1817, 1970], [64, 2026], [3021, 4358], [6171, 7085], [70, 5978], [5238, 6880], [9159, 9484], [2316, 6986], [809, 6317], [3584, 6915], [1808, 7519], [7128, 8815], [1682, 2684], [3082, 4984], [10494, 10608], [3209, 11175], [1959, 11071], [4884, 8984], [1861, 1868], [269, 9197], [7146, 10525], [3541, 6437], [117, 4639], [581, 9469], [304, 4465], [7716, 10089], [1200, 3290], [4195, 8358], [7058, 7645], [10408, 10460], [2421, 3373], [2876, 3953], [4314, 8989], [386, 10132], [355, 10819], [6210, 9241], [2476, 6463], [477, 3080], [2223, 6771], [9005, 11245], [11297, 11497], [6424, 10890], [4055, 4564], [841, 4296], [2158, 11257], [6700, 10007], [5234, 9339], [2744, 10600], [468, 5219], [8307, 9402], [4523, 10267], [1057, 8243], [4608, 9062], [317, 2017], [5630, 6306], [8845, 9428], [55, 3737], [2517, 2680], [837, 7156], [1962, 7531], [5041, 5130], [6500, 8791], [5714, 7882], [1822, 4518], [5954, 7342], [830, 2952], [3381, 11012], [5673, 11264], [4457, 5109], [3555, 6469], [5029, 11162], [3811, 4180], [3912, 11402], [3305, 5540], [6794, 7733], [7267, 8145], [5426, 8354], [3430, 4488], [1852, 3579], [6738, 8555], [594, 10030], [10274, 10594], [8011, 8828], [5549, 6475], [3057, 5411], [9557, 10953], [6981, 10942], [3702, 6115], [2893, 3502], [8102, 8165], [714, 7099], [2825, 9225], [4131, 5474], [3270, 9841], [5541, 8462], [4328, 5988], [6532, 10557], [10446, 11236], [3393, 4956], [6186, 6887], [4156, 4191], [960, 10888], [4069, 4946], [3759, 6218], [9858, 11416], [2819, 4842], [291, 1869], [4716, 5696], [356, 6428], [607, 10211], [3222, 9396], [5713, 6825], [4963, 5573], [5304, 11501], [3115, 7994], [5948, 6318], [24, 5847], [86, 309], [3079, 9468], [1923, 3364], [6444, 9905], [6783, 7119], [5346, 11353], [9709, 10138], [7061, 8561], [1956, 9139], [4946, 7447], [1732, 9431], [2329, 7435], [1515, 5232], [4942, 9957], [4880, 9079], [3383, 9098], [3347, 7189], [5121, 5758], [1108, 10735], [421, 3389], [9564, 10164], [5214, 11584], [8385, 8772], [6802, 7519], [322, 9045], [2908, 7492], [6457, 7484], [323, 9647], [3089, 9001], [4639, 8616], [8818, 9004], [10115, 10425], [9812, 10616], [8757, 10980], [65, 1660], [9521, 9686], [1157, 6059], [472, 5956], [4637, 8920], [8830, 9014], [1063, 10561], [2393, 7204], [3723, 8765], [1046, 2286], [340, 7722], [206, 4524], [1771, 5171], [1148, 5946], [592, 7943], [2476, 5926], [8742, 10298], [1977, 9211], [3317, 10706], [2295, 7800], [1677, 8919], [741, 11449], [7425, 8972], [78, 2245], [6273, 9403], [726, 2466], [6212, 9881], [4401, 11430], [2197, 7615], [2596, 11296], [511, 2477], [628, 3062], [4055, 4377], [2563, 8904], [10180, 10796], [862, 1953], [10517, 10566], [5972, 11518], [2520, 6174], [9586, 10407], [954, 1892], [4871, 7006], [3418, 10707], [3946, 6662], [7929, 10144], [3631, 5338], [5900, 10302], [5311, 9907], [7754, 10328], [4865, 5656], [2434, 2616], [1597, 8535], [5384, 7941], [8914, 10135], [1091, 4233], [6794, 10929], [4461, 8424], [7565, 10806], [6660, 8485], [6140, 10139], [2362, 3679], [2401, 10023], [3325, 10142], [1563, 6672], [5472, 7007], [7877, 9580], [5640, 9035], [6318, 7967], [1395, 10279], [6383, 6864], [400, 9196], [6496, 10713], [8118, 11140], [3514, 3598], [704, 3191], [4592, 9819], [3286, 6400], [8339, 10550], [110, 2452], [6066, 8096], [1288, 6625], [1482, 9874], [2910, 7806], [2412, 6775], [3349, 7853], [1666, 2232], [8316, 11505], [972, 10711], [2715, 3551], [2, 1579], [9540, 9607], [8876, 9627], [7475, 10108], [246, 1158], [4671, 4985], [5457, 5894], [7343, 11120], [10054, 10767], [2055, 8581], [5534, 7080], [4573, 7833], [4069, 10020], [6599, 10787], [2237, 10692], [3235, 3378], [1948, 4173], [1891, 3639], [6464, 10370], [3324, 8331], [6376, 8271], [8987, 9966], [919, 9895], [10296, 10650], [676, 10137], [1287, 5595], [3136, 6001], [1567, 8618], [393, 7570], [8269, 10854], [1533, 1837], [440, 10799], [903, 5605], [5178, 8707], [1061, 2781], [2998, 3034], [2531, 10738], [4895, 10304], [5323, 8307], [2642, 4338], [715, 3275], [61, 4737], [4238, 10714], [162, 11205], [9424, 9566], [2017, 5040], [1965, 9014], [158, 8053], [8556, 9756], [2324, 9132], [5935, 10756], [2979, 11278], [5527, 8487], [5785, 7025], [3039, 4913], [7992, 11111], [76, 8428], [2734, 4277], [5530, 6506], [234, 5604], [1485, 8562], [261, 1011], [2946, 5853], [10910, 11236], [5373, 11403], [79, 4912], [6171, 8939], [6272, 9745], [6277, 10089], [5050, 9437], [6920, 10720], [6476, 6542], [6099, 10756], [1381, 1392], [1961, 3953], [5706, 8021], [3428, 7475], [5570, 11166], [3713, 10842], [10080, 10378], [1052, 1109], [10733, 10943], [1679, 7623], [6428, 9884], [4410, 7922], [7144, 8519], [588, 9461], [2639, 6618], [6390, 10531], [8076, 9253], [2916, 2954], [1505, 8409], [5252, 9140], [8980, 11349], [2067, 3948], [3304, 8728], [950, 1182], [2321, 4996], [4652, 10838], [4394, 10048], [725, 8419], [1043, 7008], [7488, 8679], [9281, 11462], [2492, 5817], [593, 5267], [684, 5385], [10090, 11042], [5638, 8021], [5910, 10429], [3546, 4447], [1032, 6068], [9361, 9886], [22, 3199], [4261, 10808], [9902, 10964], [2974, 5941], [9422, 11293], [81, 10195], [3040, 9190], [9516, 10928], [4165, 7313], [3351, 11526], [5555, 8925], [1885, 4442], [8175, 8454], [1112, 7902], [638, 1603], [3010, 8200], [3185, 6511], [5012, 8124], [1286, 5961], [5923, 7981], [5611, 6174], [1153, 6371], [2780, 5644], [1304, 4288], [780, 4288], [1396, 6506], [6621, 10948], [8780, 10082], [2147, 10612], [4506, 5670], [7148, 7432], [7337, 10337], [8495, 10852], [8245, 9923], [2691, 8231], [2664, 9791], [5491, 6415], [1611, 4566], [8085, 11139], [4723, 10973], [3223, 5059], [1409, 7091], [2283, 3683], [8351, 9568], [3120, 6809], [2060, 5331], [7641, 11098], [10034, 11402], [1665, 8185], [2152, 8303], [4984, 5271], [2623, 9386], [4736, 8175], [9870, 10247], [7472, 9599], [976, 10592], [3553, 7041], [5108, 11164], [2310, 8108], [2613, 5665], [177, 2281], [1209, 5875], [2494, 8417], [1455, 2898], [1487, 8071], [5351, 7135], [2240, 4336], [1431, 8139], [5130, 5446], [1706, 3648], [3656, 4136], [323, 1702], [1947, 3710], [1979, 8129], [4220, 9547], [3284, 4907], [3535, 8690], [6580, 7459], [1537, 4751], [8035, 9466], [2689, 6949], [3455, 6482], [9693, 10304], [10682, 11572], [6513, 9620], [1817, 10403], [341, 2631], [1800, 2128], [1118, 5706], [1266, 5604], [7222, 11248], [6408, 8291], [3677, 11375], [4546, 7623], [1267, 2796], [5250, 6278], [2540, 9485], [2149, 3413], [2854, 11338], [3542, 8706], [617, 4377], [889, 2621], [2105, 9530], [3571, 3782], [4037, 8685], [59, 6301], [5002, 5395], [298, 6317], [5158, 5908], [7700, 9718], [575, 1872], [4499, 7403], [6305, 11145], [3996, 9034], [4175, 11251], [8662, 9540], [3281, 10220], [1507, 5235], [1586, 3838], [7260, 9796], [4051, 5708], [40, 11512], [566, 10804], [2369, 7859], [4821, 5360], [8619, 9062], [457, 2940], [2203, 5877], [1668, 2335], [3753, 4738], [3347, 4050], [2239, 4753], [5373, 6223], [9041, 10633], [1999, 4542], [393, 8001], [515, 6678], [451, 11389], [4374, 8404], [2030, 3074], [4681, 8332], [686, 8253], [2031, 3676], [4295, 8296], [4386, 8414], [664, 2987], [6512, 10818], [5612, 8841], [3680, 7434], [9177, 10120], [6594, 8938], [4, 4634], [1277, 4907], [5788, 10760], [2328, 7053], [4353, 9405], [6851, 7251], [2584, 4764], [270, 2309], [4098, 8132], [120, 5748], [715, 7089], [245, 10358], [1673, 8290], [4221, 6253], [2982, 4810], [6122, 6849], [3446, 7388], [2632, 10847], [2749, 5770], [3884, 6833], [3010, 3825], [6464, 6963], [1077, 4445], [228, 2433], [1188, 5215], [482, 9897], [4204, 4744], [324, 2895], [7173, 8591], [7603, 8175], [8657, 9838], [4961, 10550], [8834, 8976], [4, 446], [597, 7376], [954, 5169], [305, 559], [8188, 11430], [8556, 9382], [3162, 9857], [63, 4409], [1892, 2685], [638, 9255], [6149, 7867], [8635, 11368], [2195, 3625], [1018, 3060], [5185, 8349], [3156, 8507], [1095, 4246], [1943, 6033], [2779, 6305], [7228, 11280], [762, 8732], [7926, 9336], [2840, 9964], [1728, 8296], [9899, 10774], [2748, 3959], [6829, 7976], [8969, 10840], [2900, 4730], [4271, 8544], [129, 10667], [4198, 6753], [1304, 2491], [6591, 7811], [55, 9405], [294, 5257], [2878, 9293], [545, 2624], [1141, 7573], [6151, 10141], [4525, 5054], [2257, 10114], [1942, 11042], [201, 2033], [4631, 6204], [2635, 8754], [1694, 10940], [7801, 10337], [353, 2804], [8045, 10697], [2468, 7301], [5973, 7775], [6547, 10491], [3966, 10136], [4520, 11476], [6977, 10075], [538, 5186], [161, 9400], [7191, 7560], [1310, 1501], [2929, 3165], [1803, 11233], [3264, 5141], [5750, 8642], [1454, 4663], [5127, 9417], [9418, 10046], [8179, 8603], [7403, 9136], [3609, 6307], [5780, 9982], [1458, 7788], [5682, 7195], [4448, 6096], [3018, 11501], [2884, 9057], [6466, 11441], [2165, 9370], [487, 4847], [3172, 8935], [493, 8045], [10388, 10483], [4414, 10649], [5119, 11404], [5238, 6400], [3371, 5388], [86, 7132], [6770, 11071], [3250, 7313], [2668, 10341], [9476, 10374], [9295, 11494], [1938, 6331], [1625, 1670], [2555, 5741], [500, 11094], [4696, 9207], [4742, 9552], [2863, 7025], [5139, 6744], [306, 4812], [3045, 6507], [1310, 7112], [2010, 8277], [8059, 9194], [9580, 10323], [4886, 5517], [8342, 9482], [1735, 8981], [7337, 9963], [3626, 8889], [10174, 11439], [4811, 9315], [2819, 2939], [9086, 10165], [6901, 10564], [3570, 4793], [9141, 9872], [5564, 5580], [1538, 5434], [710, 5777], [6582, 7586], [3464, 7026], [6335, 11092], [1284, 1353], [9048, 10812], [4342, 10907], [734, 886], [2062, 8036], [3865, 5091], [948, 11203], [4391, 10799], [593, 6316], [880, 9756], [3497, 9768], [8125, 9790], [4331, 9967], [8161, 10201], [600, 10870], [8401, 8907], [8060, 8614], [154, 203], [2461, 5651], [995, 4983], [4485, 10784], [2892, 8089], [3941, 9408], [5247, 5657], [7996, 8040], [357, 3945], [1914, 3977], [7607, 10739], [9112, 10581], [7519, 8640], [1392, 5558], [3883, 8649], [3164, 3300], [5655, 7145], [1202, 11096], [292, 2015], [6527, 7074], [173, 4767], [737, 6795], [1261, 5260], [4740, 6765], [316, 9956], [2346, 6236], [233, 1785], [1506, 2812], [9102, 10243], [3622, 10944], [821, 2709], [45, 2488], [9248, 9314], [3307, 5456], [1307, 11270], [10622, 11147], [27, 404], [3273, 10009], [1210, 11337], [3111, 11179], [5914, 8163], [2588, 3490], [4707, 11139], [3771, 7253], [407, 10424], [8590, 11007], [7714, 11336], [4321, 4687], [9141, 11295], [180, 10418], [7212, 9405], [9018, 10141], [2659, 10496], [1645, 4445], [4685, 9286], [4377, 4969], [908, 3428], [1532, 6261], [1385, 6965], [2094, 5210], [4648, 6371], [4579, 8486], [4424, 11581], [2127, 4569], [2999, 6750], [5707, 6126], [191, 1508], [5137, 6535], [1098, 10291], [2640, 9291], [804, 9090], [3587, 10303], [2080, 9634], [4043, 11108], [3759, 11349], [5781, 7768], [3506, 10903], [801, 8792], [1367, 5231], [1919, 5744], [4324, 8317], [2292, 11210], [1048, 2253], [304, 11369], [1297, 10127], [1171, 4538], [3447, 4257], [945, 8921], [3854, 8553], [2316, 9702], [9126, 9808], [3957, 8681], [3518, 11263], [686, 1463], [756, 2202], [2901, 9574], [4807, 9760], [685, 3490], [122, 8480], [4014, 9565], [3982, 10027], [2480, 9702], [54, 7006], [4841, 5587], [3104, 9529], [2013, 10990], [9487, 10322], [728, 6196], [1366, 7207], [7493, 8037], [1486, 11473], [6338, 11203], [2317, 4985], [4842, 5408], [3591, 8866], [5365, 7435], [1729, 1782], [3618, 4273], [5899, 11506], [6892, 9510], [3583, 8224], [7980, 10003], [5606, 7497], [33, 8007], [2001, 7573], [3117, 3698], [1002, 11252], [5007, 5633], [3451, 6203], [3413, 9883], [11363, 11396], [3582, 8349], [7587, 9146], [2981, 7193], [1393, 4842], [5840, 6738], [19, 730], [146, 2757], [8461, 9121], [982, 3029], [8382, 10548], [2687, 2959], [9567, 10974], [6802, 8812], [826, 5899], [6822, 9464], [7511, 10440], [7108, 9269], [8462, 8972], [1039, 10329], [3621, 7122], [784, 2640], [1214, 8640], [8440, 10122], [1771, 9497], [6721, 9762], [6531, 8884], [4855, 5188], [500, 6264], [6195, 7437], [3915, 10228], [4156, 6907], [4870, 5496], [3727, 10931], [6996, 8654], [2051, 2317], [7522, 7946], [6584, 9649], [2007, 5428], [1761, 1989], [1943, 7887], [3813, 9170], [1573, 2692], [8489, 10364], [2003, 2276], [886, 5926], [5123, 6292], [101, 2209], [3003, 7086], [10024, 11576], [4554, 7303], [7293, 8244], [5832, 7920], [5233, 9089], [2562, 10726], [561, 6516], [5199, 7226], [7819, 10919], [30, 10263], [157, 11536], [2399, 6009], [1929, 9278], [6165, 10954], [3204, 4716], [8398, 9845], [5636, 10610], [5820, 6755], [1049, 6455], [61, 8795], [10295, 10699], [518, 6038], [3194, 5876], [2158, 4792], [647, 5105], [8544, 9266], [860, 6152], [7018, 8547], [137, 9729], [8535, 11432], [4277, 4527], [5419, 8289], [1979, 5958], [2524, 3802], [5925, 10312], [5261, 10332], [7009, 7680], [3365, 4418], [5116, 7699], [2786, 11127], [2331, 3407], [7043, 7264], [6286, 11257], [5766, 8747], [3997, 11276], [2588, 4726], [7247, 10477], [1798, 6327], [400, 10489], [1465, 3643], [7008, 7428], [6380, 7859], [4666, 7089], [3668, 8741], [4192, 7206], [4942, 5452], [4971, 11108], [3197, 6123], [3320, 10660], [1298, 5573], [849, 7467], [5267, 10877], [9009, 11264], [1825, 7719], [1154, 5070], [7454, 10524], [1527, 10536], [8224, 10176], [3021, 9465], [1772, 7334], [2086, 9187], [2370, 2530], [4054, 4589], [2053, 6795], [3080, 3629], [1055, 1277], [3293, 11092], [4738, 10883], [1956, 6862], [649, 3972], [1242, 10902], [392, 1872], [4598, 7089], [5035, 7844], [608, 938], [4121, 7689], [888, 3207], [6684, 10848], [478, 5029], [2940, 3218], [489, 2155], [3677, 6894], [4680, 6340], [7388, 7968], [113, 9977], [3551, 8475], [3287, 10846], [4922, 5873], [2491, 2833], [902, 3263], [3677, 3861], [2089, 2264], [712, 887], [2026, 3413], [5515, 9770], [971, 8695], [8469, 9175], [1741, 4183], [6161, 7666], [4108, 9682], [3258, 11232], [9863, 10906], [4221, 7115], [3608, 8578], [614, 6364], [3164, 5154], [7157, 9324], [7145, 7809], [4531, 11478], [2007, 5241], [2793, 6150], [2817, 4292], [2378, 7628], [2312, 9260], [579, 10692], [9189, 11342], [1261, 4081], [8172, 11409], [1911, 5883], [10159, 11025], [5701, 8970], [2215, 6294], [6038, 7609], [1282, 8341], [5814, 6403], [5757, 5869], [526, 9526], [8179, 11075], [3264, 10996], [186, 3419], [4855, 10612], [2570, 6643], [1417, 10636], [2547, 11355], [178, 2777], [1552, 3856], [6896, 9710], [2350, 7808], [543, 6847], [5488, 6768], [1914, 8409], [1664, 1818], [6309, 10115], [3783, 9467], [1347, 6083], [5798, 11131], [7950, 8340], [7728, 10213], [6427, 7138], [1159, 6032], [2033, 2624], [4488, 4560], [1777, 1880], [5472, 8113], [4398, 5017], [7135, 9295], [6371, 6455], [7460, 11337], [467, 5108], [10327, 10743], [7304, 10043], [11201, 11499], [8176, 9972], [9296, 10003], [7241, 8940], [7889, 9915], [8773, 11359], [7307, 10691], [10375, 10410], [576, 2018], [1138, 7383], [9166, 11061], [355, 6745], [3832, 5171], [2006, 10576], [1755, 6793], [5115, 6886], [6142, 10136], [7572, 8895], [3334, 11310], [7501, 10183], [4557, 5804], [2220, 8061], [6294, 10907], [7510, 11400], [1968, 11223], [3084, 7348], [3049, 4129], [1108, 4888], [2652, 11074], [4200, 6856], [9795, 10077], [6989, 7914], [2264, 3795], [2286, 5274], [1945, 11397], [2516, 8180], [458, 9852], [7710, 11057], [3903, 9494], [2499, 9704], [193, 11274], [631, 10719], [731, 2255], [5586, 11328], [4768, 5219], [9432, 11314], [10015, 11140], [1152, 6634], [6837, 7119], [8029, 8716], [596, 9385], [31, 7132], [3011, 7004], [1178, 11238], [1706, 4941], [1701, 4597], [188, 4083], [4510, 7031], [2208, 6091], [43, 7142], [5466, 5907], [6087, 8469], [9357, 9800], [4558, 6698], [5404, 8412], [4719, 7555], [2847, 6199], [1627, 8970], [1697, 7457], [3402, 3977], [1540, 3309], [449, 8934], [594, 5151], [1221, 10911], [2557, 10008], [5105, 7217], [745, 7949], [8152, 9065], [7443, 7814], [3601, 3813], [6875, 9050], [992, 2164], [1745, 7097], [626, 9920], [10762, 11289], [3570, 4850], [3250, 9598], [5870, 9127], [7554, 11186], [1236, 11542], [3323, 8356], [6637, 11514], [3655, 10815], [3846, 3967], [7951, 8378], [6368, 7125], [7760, 8810], [790, 4285], [8668, 11402], [2035, 3264], [2310, 7441], [1133, 11040], [3719, 5323], [7011, 10385], [2458, 11476], [8125, 9847], [2831, 3356], [5265, 10831], [6013, 9004], [3267, 3886], [3518, 7669], [6632, 10739], [2709, 5810], [646, 7138], [9887, 10284], [80, 2031], [9983, 10746], [2426, 8905], [6710, 9117], [4289, 6765], [980, 9643], [3356, 6560], [2198, 10209], [641, 3761], [1640, 11379], [4976, 11078], [5494, 6345], [8607, 9190], [1074, 9655], [9195, 9360], [1979, 11195], [5608, 10015], [3029, 4071], [1193, 4624], [2067, 7632], [594, 9957], [1344, 4039], [5167, 9518], [6852, 8769], [8815, 10243], [23, 10141], [1339, 7078], [2829, 5888], [1118, 5389], [3144, 10595], [2702, 10250], [2353, 2926], [1490, 4214], [5374, 6936], [448, 8977], [2605, 7284], [7297, 9011], [304, 9198], [4163, 10924], [4650, 10288], [5334, 10920], [131, 3793], [8790, 10721], [4247, 6084], [2523, 11042], [6912, 11048], [1010, 10528], [6977, 9945], [2584, 8285], [2708, 3625], [8346, 10680], [1744, 10523], [7594, 8601], [2274, 7305], [7807, 9648], [651, 2489], [1399, 7078], [4986, 9806], [5729, 7635], [5195, 6947], [8803, 11306], [840, 8777], [6248, 9139], [5615, 9226], [1072, 11005], [7171, 9787], [1388, 6515], [5467, 5541], [7201, 11127], [3302, 6592], [1440, 5924], [688, 10261], [11047, 11113], [539, 10892], [412, 2449], [5852, 8765], [4979, 8611], [436, 10390], [6074, 10275], [2184, 3574], [1895, 3471], [2275, 2938], [10363, 10831], [6810, 6933], [3360, 4668], [1615, 11001], [6498, 11542], [648, 5550], [4543, 8431], [4911, 6383], [1477, 4651], [4544, 11285], [3071, 7948], [772, 6525], [7792, 10413], [6763, 9746], [1572, 4888], [890, 4302], [1941, 5694], [5451, 6512], [8850, 9943], [4120, 5480], [3337, 11258], [5522, 8607], [4839, 5167], [1847, 3780], [6356, 8052], [10378, 11462], [1772, 7578], [6914, 10265], [2272, 7901], [1282, 7162], [2531, 10047], [9052, 10050], [1836, 2086], [2328, 8964], [2919, 8651], [501, 3564], [6308, 11394], [6031, 6390], [6287, 10517], [3906, 6840], [7770, 8156], [5712, 10582], [2355, 10006], [2325, 5633], [5272, 7277], [2474, 8385], [645, 3693], [3759, 6763], [6641, 8012], [3367, 3529], [165, 612], [10725, 11546], [1379, 3688], [8562, 9260], [1227, 6300], [317, 3635], [1011, 11371], [1994, 2271], [3337, 10453], [6298, 10275], [4512, 7939], [7533, 7812], [4207, 7303], [6920, 10029], [41, 11284], [1996, 8733], [3833, 4618], [3741, 11445], [1150, 3986], [4102, 6728], [6281, 8766], [4904, 10799], [4226, 7703], [2168, 9375], [7894, 9861], [3859, 6189], [3477, 10059], [3873, 10059], [2355, 2785], [2201, 8734], [7108, 8171], [4124, 4393], [2374, 10382], [1541, 10381], [9471, 10518], [6021, 7499], [2845, 3551], [2525, 4135], [1783, 9914], [446, 4930], [2841, 6061], [8699, 11170], [1717, 11546], [260, 6460], [2870, 5301], [3768, 6451], [5705, 8956], [1534, 3925], [620, 10186], [7435, 10636], [8257, 11202], [1662, 8806], [1378, 2631], [32, 6229], [3669, 9074], [2153, 9043], [2855, 6117], [3192, 3258], [3350, 3844], [4444, 9070], [5445, 7689], [7460, 9353], [6494, 9008], [5152, 10096], [4911, 7001], [9386, 10945], [8696, 9744], [6779, 9369], [2918, 7570], [3441, 9597], [4664, 10507], [5779, 10194], [542, 4237], [555, 8606], [6553, 7336], [7456, 8830], [1283, 5403], [200, 10135], [3681, 6051], [5561, 5770], [6608, 10426], [10756, 11501], [3712, 10999], [5983, 10374], [1435, 5393], [6538, 8152], [781, 6855], [794, 11224], [815, 9849], [1092, 8437], [6785, 8783], [138, 9607], [3736, 6108], [6781, 11293], [4826, 8182], [2857, 8391], [3604, 3710], [6635, 8435], [7036, 9533], [8252, 9272], [6714, 10421], [3218, 7057], [2194, 6734], [5254, 6535], [170, 1574], [773, 9192], [663, 11306], [3673, 4604], [4390, 6874], [8094, 10941], [5236, 8588], [403, 6656], [1225, 7222], [1244, 7272], [7563, 10524], [376, 8216], [8588, 11449], [5074, 6725], [10025, 10598], [4478, 10077], [4877, 9594], [5037, 5345], [5539, 6495], [1433, 10527], [3316, 9039], [169, 9993], [3768, 7069], [2004, 2772], [3554, 8049], [1651, 11544], [4767, 9025], [852, 3957], [186, 7314], [866, 1411], [5292, 8092], [681, 877], [7002, 11372], [1553, 7976], [5826, 7999], [1335, 9968], [557, 6668], [1458, 8089], [5744, 8374], [1322, 1812], [7670, 9966], [1952, 5591], [3166, 5257], [693, 8407], [3463, 8661], [287, 549], [3715, 8882], [1535, 9625], [2474, 10776], [1313, 4328], [5208, 7963], [2190, 5355], [6412, 10351], [8555, 10480], [6188, 8364], [3923, 9935], [5745, 7794], [4235, 10961], [6506, 10336], [1541, 2623], [642, 1248], [5533, 6568], [1257, 6247], [2855, 6280], [2259, 5468], [203, 1551], [822, 9702], [4464, 6475], [288, 9768], [1657, 10503], [5105, 9689], [809, 2300], [9688, 10692], [2625, 10140], [1942, 6700], [4293, 6778], [5468, 11434], [5755, 10710], [2135, 2584], [3139, 11300], [2335, 9785], [6867, 7093], [2450, 7291], [7369, 8243], [6183, 9844], [7559, 7586], [9675, 10056], [1012, 5638], [927, 3056], [2632, 10156], [4838, 4972], [7264, 7668], [165, 1043], [140, 9092], [5675, 8098], [9413, 10995], [1416, 3220], [2128, 11562], [387, 2553], [662, 10894], [1347, 5335], [15, 695], [7358, 10686], [8134, 10153], [8499, 8588], [4897, 8181], [5632, 8401], [4302, 4588], [8914, 10493], [2611, 4741], [2581, 9036], [6745, 8392], [2118, 4808], [1421, 9606], [8458, 8937], [4258, 7672], [6348, 10419], [4946, 5040], [987, 6870], [832, 2795], [2235, 3114], [4060, 10316], [710, 1085], [7673, 8603], [3536, 4654], [9542, 9661], [1142, 10541], [5839, 6196], [538, 4950], [2604, 7303], [4583, 9310], [4068, 7144], [3600, 5578], [1129, 3139], [2808, 11270], [3488, 4613], [3468, 6590], [1493, 3601], [2582, 8483], [3583, 7102], [3500, 5347], [1339, 3134], [962, 7348], [1342, 7569], [1224, 9011], [8061, 10940], [408, 2975], [5506, 6144], [2173, 3710], [6713, 8049], [2368, 10567], [7215, 9199], [4691, 10132], [4849, 6554], [6062, 6776], [7751, 9179], [6777, 8973], [7548, 8850], [3076, 9341], [9130, 10632], [3497, 3921], [1354, 7929], [175, 6537], [7234, 7347], [3588, 7422], [4830, 8382], [4142, 4598], [4702, 9136], [3714, 9224], [9438, 11135], [8753, 11032], [1489, 6060], [9625, 10961], [3648, 4440], [7595, 8265], [1277, 7867], [1308, 7180], [1524, 7744], [3384, 6087], [5691, 7371], [9827, 11095], [4111, 9799], [2743, 5502], [6781, 8691], [3603, 3916], [581, 6070], [1711, 10953], [1138, 11091], [2609, 5687], [2769, 3690], [6305, 9112], [5113, 7515], [5592, 6961], [1722, 5076], [4622, 6874], [8230, 11233], [28, 1548], [3639, 8834], [1989, 6359], [6574, 8189], [7436, 8928], [4554, 6181], [4700, 5252], [1245, 4895], [8414, 10007], [188, 8596], [2738, 7386], [2675, 6283], [7157, 7234], [519, 11584], [6632, 10796], [7563, 7922], [3363, 10821], [1367, 6955], [3612, 7361], [553, 10414], [6876, 11156], [1769, 10907], [6185, 6320], [3516, 10282], [3467, 4004], [1259, 9115], [1383, 4455], [2009, 3197], [734, 6261], [361, 7211], [8581, 11059], [7058, 9857], [1481, 10625], [2668, 5462], [3351, 9656], [9344, 9540], [8289, 10658], [321, 7031], [1792, 2381], [7390, 9283], [3188, 11355], [1246, 4342], [2276, 7863], [2033, 8105], [5455, 6824], [2930, 3368], [192, 5281], [3542, 8096], [1861, 6308], [6561, 7896], [5850, 6572], [394, 5415], [3549, 8486], [4358, 4683], [2675, 5478], [5256, 5833], [887, 2315], [2672, 5180], [7207, 9175], [8865, 10013], [73, 9911], [1444, 7309], [301, 5574], [817, 10594], [517, 3886], [1251, 10297], [2777, 11016], [5920, 10320], [10503, 11323], [2807, 4442], [1118, 7674], [7995, 9002], [5789, 8524], [1527, 6381], [6009, 6578], [7590, 11168], [252, 2275], [706, 2253], [7741, 11337], [1454, 11006], [1543, 3127], [1288, 2608], [1585, 6736], [5083, 6039], [2383, 4272], [175, 9383], [3232, 9667], [2914, 3908], [2783, 11561], [2721, 10683], [6959, 8268], [1858, 11217], [5246, 11106], [6765, 10654], [1375, 1449], [3160, 10730], [7580, 10049], [5260, 7779], [8410, 10506], [417, 9266], [340, 940], [6439, 8390], [2961, 3323], [937, 8743], [443, 7454], [2836, 7758], [9147, 11149], [9481, 10271], [4037, 6465], [207, 3979], [5785, 10229], [4260, 8954], [5748, 11101], [9975, 10025], [235, 2994], [6339, 10788], [3099, 5135], [702, 7341], [8355, 8890], [4086, 9740], [8604, 10348], [3158, 9879], [8638, 9178], [4255, 8206], [3025, 10289], [6483, 10917], [6391, 11328], [2090, 2841], [5949, 10983], [3218, 7651], [601, 7639], [5396, 6081], [4558, 9146], [1165, 3251], [38, 2049], [6756, 8982], [256, 1188], [6379, 6780], [2218, 11105], [4574, 6646], [8088, 10589], [4392, 10547], [3010, 8826], [1045, 10689], [9699, 10857], [979, 5905], [2909, 4987], [1699, 8446], [4500, 4603], [8230, 9891], [7767, 7915], [3574, 7821], [7083, 10666], [5994, 10702], [2200, 3709], [2814, 11516], [2602, 7661], [5706, 7037], [1936, 11018], [8945, 9055], [3157, 5439], [4960, 8910], [5335, 8033], [1690, 10962], [1814, 7056], [5267, 7340], [3393, 10819], [1404, 2462], [2183, 2200], [4320, 4793], [3920, 7303], [1517, 2524], [2265, 7113], [4792, 10615], [9212, 9934], [4257, 7073], [210, 6804], [1972, 3858], [3695, 11507], [3654, 5090], [3066, 5297], [5619, 10020], [5679, 10825], [827, 4679], [2102, 5779], [7241, 11201], [6300, 6971], [4426, 11204], [10936, 11018], [2715, 9951], [8821, 9904], [4738, 9224], [1397, 3519], [8618, 8794], [1424, 4561], [7965, 10858], [4942, 9404], [96, 7210], [955, 2770], [5629, 10307], [742, 11522], [3108, 7751], [4684, 8587], [9102, 11243], [8136, 8646], [4337, 7725], [2162, 2396], [2757, 3737], [76, 6184], [1284, 1898], [6015, 9969], [9442, 10530], [4528, 8424], [2871, 10440], [4084, 6498], [3846, 7838], [6909, 7213], [7063, 11063], [6662, 10719], [6760, 7090], [6127, 7177], [4799, 9826], [1869, 5153], [406, 8166], [1457, 6148], [1617, 8315], [3329, 5252], [2587, 11031], [5691, 6997], [3457, 10887], [4345, 10595], [8648, 9329], [5441, 6068], [3546, 9424], [2263, 4676], [1726, 5225], [2818, 3208], [3711, 4014], [5581, 8707], [4612, 8845], [1697, 9368], [6960, 10130], [4489, 9943], [514, 11240], [6359, 8974], [6674, 8046], [1787, 5097], [9285, 9741], [9777, 10203], [3026, 4261], [4232, 9728], [3901, 10123], [1150, 11077], [928, 6534], [8180, 9991], [7336, 8323], [2052, 6684], [1264, 5702], [9111, 10500], [1174, 2776], [7894, 10536], [5026, 6741], [7178, 11120], [4819, 9646], [4196, 10421], [6149, 10453], [1354, 5595], [7466, 10998], [2157, 3475], [2936, 3213], [960, 11303], [3911, 10437], [943, 3028], [3716, 9969], [2591, 3178], [15, 3167], [2224, 8080], [8258, 8719], [40, 11333], [1095, 3799], [3992, 8332], [3746, 5647], [4463, 7917], [874, 8526], [4709, 4940], [7532, 11244], [3089, 10221], [97, 8834], [5755, 5961], [1393, 10030], [2867, 8307], [10205, 11538], [1893, 8101], [3973, 10160], [1895, 8147], [771, 10626], [4381, 5232], [7751, 9423], [740, 9061], [10485, 10774], [8737, 11174], [1509, 1695], [3537, 3564], [3100, 7727], [5216, 5279], [6521, 8473], [1173, 11545], [2094, 7983], [4179, 10386], [2849, 7327], [1531, 8809], [2439, 4985], [381, 10821], [1499, 10025], [716, 6381], [2099, 5294], [6206, 6368], [9561, 10281], [4081, 10982], [1187, 5966], [2425, 10190], [3963, 6008], [8182, 11487], [7591, 11019], [5920, 6913], [7964, 9315], [2181, 10961], [268, 2434], [740, 11289], [8549, 9187], [6830, 8827], [1853, 7116], [581, 9697], [6364, 6553], [9541, 11103], [5085, 5711], [1819, 5253], [8608, 10898], [7541, 10501], [5292, 6189], [4300, 11039], [723, 2583], [2280, 3369], [4854, 5963], [750, 11576], [6548, 9464], [1744, 6018], [3609, 11121], [348, 11007], [8469, 10712], [2461, 9042], [5668, 5887], [4073, 9535], [1117, 10057], [494, 10832], [3799, 10464], [2894, 8143], [3455, 10654], [253, 1321], [5172, 8689], [6966, 10162], [1950, 9277], [7994, 8352], [2956, 5988], [3504, 9011], [5446, 9608], [1847, 9529], [2881, 3370], [8837, 9014], [2194, 6604], [6674, 10892], [5151, 9690], [6147, 7211], [2186, 5962], [2380, 9211], [7514, 11283], [3596, 8950], [5914, 8171], [6613, 9835], [7384, 9712], [1441, 4273], [661, 11480], [1550, 8380], [4662, 8371], [0, 2322], [3009, 4844], [2486, 3571], [871, 9196], [1151, 11465], [2722, 4787], [2471, 4387], [6390, 10328], [3969, 7976], [2775, 5552], [9908, 11007], [2195, 2991], [7234, 8209], [5238, 10759], [2097, 11501], [222, 10628], [2066, 9936], [2375, 11445], [32, 3334], [200, 5362], [4427, 11456], [819, 1435], [3395, 4075], [2884, 5845], [1369, 8668], [1983, 3643], [5587, 10512], [4164, 6508], [6123, 8240], [3747, 4907], [8664, 11448], [948, 8796], [3534, 7243], [7673, 11238], [2441, 5625], [512, 9397], [4080, 10193], [9496, 11197], [1585, 2442], [4730, 4825], [11185, 11348], [3964, 10210], [7410, 8569], [371, 9165], [5142, 7213], [1064, 6877], [1095, 6190], [9669, 9812], [5629, 6550], [10611, 11234], [7794, 8158], [1694, 2735], [1614, 11077], [112, 10752], [8412, 10422], [4805, 9671], [3585, 6026], [2685, 4049], [818, 8699], [1506, 6821], [7333, 9611], [5862, 8599], [8386, 8420], [3403, 9927], [784, 6836], [968, 9397], [5456, 10540], [2501, 8254], [5013, 9970], [1969, 8393], [472, 8412], [3703, 9815], [3046, 5344], [5981, 10361], [3673, 5442], [4793, 5473], [8955, 10418], [6123, 6280], [6651, 8651], [8609, 9781], [1582, 11138], [5448, 6865], [4448, 7690], [5152, 5591], [3722, 4580], [3780, 8722], [897, 8002], [6869, 7009], [1788, 5729], [3812, 10108], [3504, 5791], [4837, 11033], [2994, 10415], [2491, 9794], [2685, 6627], [3399, 5216], [6229, 6275], [6597, 10643], [3374, 6849], [7691, 9453], [318, 10173], [6132, 6342], [6787, 7734], [3518, 3595], [1271, 3116], [6933, 7559], [1654, 2100], [5138, 8113], [1647, 11509], [2358, 7171], [869, 11215], [4966, 9349], [2674, 2681], [26, 1104], [2763, 8388], [2045, 5139], [9230, 11538], [9106, 9782], [4401, 6315], [3323, 9893], [9224, 10188], [421, 10651], [227, 986], [5402, 6065], [6773, 9879], [3129, 10027], [6575, 9140], [1566, 5262], [7096, 8088], [5697, 8642], [3933, 10761], [6791, 7452], [2835, 8799], [1035, 2593], [7561, 9356], [1279, 9369], [5878, 10905], [10391, 10415], [10050, 10122], [98, 4898], [5858, 6466], [6694, 6738], [6377, 11003], [467, 6458], [2955, 4370], [2765, 9908], [432, 7403], [1330, 2137], [7470, 10342], [8399, 10805], [1985, 4283], [6215, 7642], [5432, 6250], [7049, 7087], [3260, 11018], [3786, 3894], [7074, 8837], [1754, 7541], [539, 4240], [172, 6890], [3558, 7450], [1040, 5165], [3429, 8733], [6858, 7869], [4291, 7974], [7014, 8382], [1679, 1890], [8318, 10974], [7685, 11061], [35, 6777], [1401, 3077], [933, 1511], [1779, 2471], [7001, 7396], [1521, 1681], [9051, 10744], [2268, 9051], [1205, 3138], [5998, 11333], [298, 4154], [1648, 7091], [5836, 6841], [3661, 7928], [2050, 3873], [6368, 10085], [739, 10663], [4800, 9140], [1570, 10591], [7014, 7227], [4428, 6528], [6487, 8464], [2817, 3227], [1136, 1439], [1318, 6583], [4807, 8776], [4397, 10598], [6072, 9161], [6514, 9506], [7136, 9260], [2714, 9114], [7124, 7745], [8550, 9014], [5692, 5907], [9453, 10508], [4580, 10655], [4172, 8386], [2801, 5326], [143, 2307], [9640, 10334], [9645, 10678], [1672, 7461], [180, 7824], [1491, 4417], [3767, 4136], [3665, 3859], [857, 11449], [1605, 9622], [2134, 8431], [10284, 10786], [7077, 7525], [2999, 7189], [1192, 10392], [1343, 10561], [4801, 11189], [412, 603], [2678, 6050], [7411, 10030], [4176, 4721], [8009, 10888], [7, 2769], [8221, 9081], [41, 8015], [1691, 4828], [5330, 7746], [3360, 5855], [5760, 7330], [3925, 10737], [5785, 8326], [2772, 8314], [2084, 4530], [8183, 9728], [96, 4689], [215, 439], [2828, 9377], [5634, 8130], [4106, 10748], [424, 3996], [3949, 5846], [6060, 10224], [5098, 10779], [5535, 11534], [1731, 3853], [9022, 10648], [5591, 7679], [90, 8257], [9706, 11280], [10821, 10967], [6593, 7654], [9568, 11346], [5559, 6643], [5567, 6504], [393, 11449], [235, 1441], [3383, 9757], [580, 4859], [5607, 8562], [3320, 9408], [543, 11393], [6548, 7130], [6541, 10123], [1873, 6538], [2313, 6810], [1382, 2514], [4773, 8336], [6387, 9656], [6113, 10585], [4427, 7699], [7104, 7762], [1091, 6502], [7531, 7829], [5521, 6509], [4045, 5153], [1278, 8580], [9566, 10869], [3300, 4245], [378, 4351], [5112, 11185], [4391, 9173], [2931, 5287], [403, 8730], [2392, 5009], [8393, 9672], [10504, 11044], [8946, 10787], [6124, 8091], [3039, 5759], [1785, 3284], [3197, 7099], [4255, 5498], [3787, 3932], [12, 7569], [793, 8134], [6990, 9703], [6964, 8482], [3776, 9435], [513, 9248], [8448, 9729], [1539, 6611], [2997, 5883], [525, 2842], [1529, 11558], [502, 5302], [9118, 9150], [8782, 9201], [2218, 5364], [3889, 7218], [6972, 8723], [5874, 6007], [4387, 10878], [4256, 7951], [3943, 7454], [3294, 9260], [2210, 8886], [1833, 8936], [6224, 7517], [2149, 10862], [1244, 8541], [919, 2365], [946, 4188], [5271, 10817], [3909, 10472], [917, 9085], [6214, 9431], [3468, 10729], [8421, 10511], [749, 4024], [7207, 10818], [5607, 6952], [3373, 4426], [847, 10948], [6542, 11367], [5854, 7583], [273, 10861], [813, 8331], [1609, 9204], [6135, 9673], [3320, 9676], [2738, 10452], [4629, 9606], [988, 10025], [2444, 3589], [9952, 11173], [420, 10507], [7856, 7857], [4653, 11131], [608, 7525], [4770, 6054], [2976, 3046], [6427, 8919], [8911, 9341], [3025, 9354], [3056, 4503], [6695, 8175], [4366, 8041], [6071, 10977], [875, 5021], [1679, 6509], [7291, 11589], [5044, 11110], [1331, 2793], [3543, 11387], [962, 11032], [2367, 7260], [2541, 2717], [7905, 9947], [835, 1808], [7803, 9670], [6003, 9880], [9477, 11041], [8673, 9526], [2725, 7907], [3322, 6665], [8299, 11005], [5331, 10012], [10838, 11134], [2405, 5458], [3344, 7363], [8786, 9588], [1343, 3153], [2158, 2548], [4799, 7118], [682, 1192], [3923, 9699], [3018, 7378], [5428, 10295], [7689, 8228], [5863, 9469], [3766, 5551], [3915, 9057], [1745, 10488], [6963, 11507], [1890, 3672], [5819, 10301], [4594, 8564], [4790, 5470], [4532, 11096], [4938, 6122], [5600, 10937], [6436, 8957], [8296, 9552], [1644, 10032], [2141, 10838], [4741, 8991], [147, 1383], [4462, 9576], [4033, 7184], [2605, 2836], [2947, 5983], [1641, 3318], [6864, 11097], [1038, 11161], [2745, 8508], [3927, 9417], [1077, 4673], [8040, 11437], [67, 4056], [6398, 8823], [8072, 10194], [8005, 8972], [6606, 9526], [6291, 8202], [2065, 5716], [9644, 11288], [1870, 10910], [530, 2999], [5550, 10419], [1865, 4150], [5388, 10091], [5844, 10142], [2046, 6413], [2393, 9904], [272, 1428], [2372, 9027], [4640, 4721], [2861, 5808], [7558, 7879], [3079, 4947], [1417, 6619], [3509, 10193], [5370, 7226], [2758, 5306], [5149, 5537], [1544, 5613], [7105, 10004], [766, 2313], [1375, 3360], [5490, 9213], [7021, 8024], [6670, 7043], [293, 10202], [2929, 10264], [8130, 9394], [472, 1085], [138, 8379], [7132, 11046], [110, 10495], [506, 11249], [3487, 7559], [7131, 11575], [402, 3729], [6764, 10061], [477, 8976], [1192, 11173], [337, 8215], [275, 7337], [1152, 7610], [216, 10140], [4734, 10748], [6289, 9953], [10179, 10992], [10523, 10802], [3481, 4711], [559, 10479], [1426, 10064], [1152, 10993], [2601, 3386], [273, 1225], [5443, 5960], [1086, 6209], [5594, 6129], [3505, 6236], [7711, 11453], [3528, 6405], [5923, 8290], [1191, 7164], [5275, 10698], [6235, 8562], [2997, 10152], [10150, 10597], [1602, 5163], [2928, 11486], [2930, 5897], [92, 10612], [42, 4833], [6227, 11303], [8534, 10335], [3742, 4994], [1460, 4706], [5324, 6776], [5169, 9117], [3507, 11543], [5229, 9922], [1153, 10413], [2166, 9069], [5223, 9353], [4189, 4932], [3944, 8511], [7464, 10017], [10654, 11419], [951, 9151], [4282, 8506], [5964, 9738], [5142, 6920], [2571, 7253], [314, 6086], [8818, 8939], [2560, 9346], [5488, 10940], [192, 10038], [2845, 9707], [3184, 9173], [756, 5650], [3619, 9101], [4555, 6571], [3937, 7690], [1306, 3084], [3613, 8532], [3081, 5261], [3117, 4918], [1532, 2838], [3853, 7992], [7748, 8621], [184, 6363], [2773, 4327], [5730, 6659], [3411, 3860], [4758, 7280], [3947, 10256], [6153, 9236], [1512, 3310], [452, 1832], [5087, 5277], [5938, 10745], [1630, 5251], [1328, 11302], [1605, 7638], [5022, 7511], [5515, 10827], [759, 5143], [4644, 8090], [2288, 10297], [2624, 3830], [3594, 6546], [4743, 11479], [7169, 8513], [8853, 10572], [4149, 11494], [4106, 8414], [2146, 6457], [3961, 5027], [1492, 5667], [2732, 9964], [220, 1832], [626, 2520], [1498, 2449], [1894, 3203], [3333, 11093], [2984, 4523], [1280, 10857], [6693, 8934], [3197, 5570], [6247, 10345], [5003, 8558], [2103, 3727], [2476, 8439], [7395, 9391], [7049, 8754], [918, 2520], [757, 11462], [2976, 3477], [636, 6217], [887, 10000], [4619, 5535], [1066, 5801], [5356, 9211], [1497, 1823], [4296, 9985], [228, 8085], [133, 4815], [1461, 5549], [11266, 11477], [1242, 10349], [433, 8490], [2619, 5283], [2198, 2809], [4640, 10145], [3139, 10422], [3082, 9888], [3475, 9590], [4189, 8933], [6861, 8652], [5054, 5439], [4468, 10977], [3214, 8502], [1998, 2347], [2109, 9503], [5151, 8755], [9664, 10517], [3396, 7984], [4999, 11367], [1257, 4564], [2398, 2466], [1541, 4323], [1043, 9708], [6442, 9607], [778, 1331], [4246, 9817], [3016, 11146], [5137, 9796], [6315, 10963], [3856, 5875], [1717, 2455], [5411, 5834], [3757, 11531], [5474, 9566], [4192, 11459], [1088, 2661], [4536, 9017], [1487, 2932], [1425, 6218], [8372, 9039], [1915, 5099], [5039, 6605], [7525, 10106], [6959, 11415], [3948, 5814], [7647, 9537], [178, 3379], [882, 1280], [6869, 8489], [8985, 10205], [3763, 6034], [9422, 10960], [6712, 8505], [11135, 11505], [4910, 7888], [5371, 9037], [2040, 7430], [1938, 2989], [229, 9733], [5772, 10512], [1655, 4586], [11147, 11515], [879, 4365], [1035, 4878], [1281, 8317], [1501, 10535], [4801, 9823], [7502, 8028], [4489, 8016], [10024, 11186], [3670, 4715], [225, 9210], [9246, 10892], [598, 5254], [1219, 4406], [7998, 9363], [5221, 11348], [35, 6834], [2862, 3458], [3646, 9956], [2581, 10386], [10213, 11058], [7622, 10015], [328, 2168], [3361, 4310], [5752, 7951], [26, 5967], [1736, 9247], [6593, 9321], [3759, 10772], [1550, 3607], [3566, 11131], [7986, 8198], [145, 6598], [1162, 9914], [6089, 10727], [4682, 5004], [3436, 8806], [1251, 2035], [573, 3103], [460, 11305], [266, 1640], [507, 4735], [3194, 5486], [9788, 10663], [686, 3919], [4925, 10774], [6256, 11025], [5982, 10456], [2704, 8483], [364, 4807], [2729, 9479], [5194, 5687], [1174, 9493], [116, 3924], [1512, 2318], [5460, 6745], [2344, 3602], [8828, 10863], [3035, 6903], [1313, 2108], [8162, 8558], [3055, 8309], [8760, 9416], [1356, 8571], [4764, 11364], [5335, 8147], [698, 6881], [8900, 9426], [7719, 11371], [10248, 11536], [2682, 9609], [5918, 7946], [2822, 11117], [465, 4054], [1669, 9448], [4224, 7828], [1080, 9053], [4815, 8269], [3998, 5795], [3225, 10009], [4505, 7289], [637, 2067], [2751, 9372], [1240, 9685], [6078, 11237], [7974, 11489], [3653, 11395], [234, 10695], [7042, 7722], [734, 8766], [4593, 9738], [5082, 6519], [4278, 8414], [7640, 9334], [6981, 9698], [782, 5050], [2621, 11184], [7970, 10966], [2394, 5543], [5697, 8512], [7295, 11551], [4360, 6534], [2066, 9619], [1753, 4958], [3183, 3717], [3090, 3526], [130, 6558], [3340, 7084], [6846, 10412], [846, 9357], [2553, 6704], [3602, 8023], [4885, 8984], [2132, 3449], [4664, 7295], [4499, 8948], [2484, 8038], [8449, 10038], [1546, 7489], [1298, 3223], [830, 903], [7583, 7645], [1103, 9171], [4475, 7773], [1072, 7606], [5968, 6854], [880, 10065], [4894, 8696], [8734, 9618], [5716, 9262], [1070, 1494], [3458, 3706], [445, 7858], [1663, 8424], [2680, 6822], [4268, 9173], [4617, 7075], [5479, 8568], [4958, 7368], [2500, 5134], [4198, 11063], [6919, 11398], [9438, 10875], [2148, 11098], [6907, 9883], [1616, 7073], [2426, 6124], [1110, 2771], [3510, 4246], [4139, 6669], [1204, 5816], [5813, 8040], [3633, 8783], [7745, 7949], [2545, 10919], [3100, 9451], [87, 9439], [6116, 8980], [4399, 4529], [9194, 10141], [975, 3485], [10417, 11051], [2349, 10980], [7359, 11296], [3565, 4303], [4747, 5212], [8699, 9381], [2009, 7125], [9034, 9105], [10658, 11113], [4343, 4570], [845, 10959], [2868, 6068], [495, 6416], [5515, 7420], [4861, 8882], [5365, 10859], [7717, 11162], [5981, 6661], [977, 9543], [4709, 9242], [4458, 5459], [3293, 7937], [5409, 10407], [1871, 7541], [9935, 10876], [7334, 8391], [897, 919], [3176, 10735], [5848, 10454], [63, 7109], [3762, 10078], [2950, 7948], [405, 3840], [5025, 10417], [6000, 7061], [9642, 10250], [6987, 7502], [6930, 11132], [3439, 8112], [326, 10902], [3101, 5084], [5365, 9704], [2975, 6665], [4346, 10479], [7178, 8201], [7135, 10783], [4184, 5233], [3504, 5474], [8411, 11327], [40, 5031], [6194, 9936], [2553, 10355], [6451, 11255], [5203, 5562], [5387, 7369], [308, 2752], [2799, 10761], [4541, 9792], [2423, 11413], [957, 10745], [2080, 3877], [8303, 11585], [7554, 9023], [1303, 4185], [1071, 4616], [2139, 2205], [6427, 11204], [3442, 4572], [161, 5334], [7357, 8859], [5421, 5798], [2711, 7507], [9288, 10795], [8254, 10538], [4396, 6004], [3644, 3925], [7475, 10019], [7783, 7920], [3550, 4263], [303, 8019], [249, 11166], [6966, 11081], [1520, 11366], [7401, 8757], [3887, 4033], [7056, 10974], [4912, 11374], [2195, 7748], [1696, 6115], [77, 2199], [421, 2763], [574, 3005], [241, 7491], [7701, 10897], [516, 9416], [1362, 3960], [2819, 6794], [9099, 10872], [9585, 10765], [7014, 11098], [13, 844], [4085, 7781], [348, 1322], [1032, 10622], [1839, 9402], [8623, 11293], [10615, 11253], [5200, 10097], [1750, 10084], [7722, 9091], [1867, 4253], [2429, 3202], [2174, 9099], [7616, 11324], [3378, 7323], [2545, 10732], [799, 1379], [4756, 5892], [4100, 10691], [1113, 9648], [7610, 11509], [8088, 8101], [9053, 10473], [741, 7790], [2666, 6528], [1360, 3109], [4756, 9275], [7760, 11453], [3412, 3874], [5958, 10836], [2992, 4254], [9008, 9949], [541, 9607], [9591, 9775], [3491, 11522], [69, 4135], [10676, 10751], [8965, 10252], [288, 9134], [943, 10526], [2053, 9869], [4823, 5959], [6693, 11406], [2587, 6770], [2950, 10794], [4904, 8018], [5043, 5144], [4907, 8289], [4533, 9768], [1864, 7314], [5059, 9060], [916, 1913], [5833, 8454], [632, 2154], [1392, 1842], [3250, 5020], [638, 5352], [3630, 5241], [3380, 10728], [794, 5865], [1099, 4249], [2196, 8992], [635, 11470], [358, 6466], [4675, 9070], [2472, 8109], [4342, 6386], [6544, 10128], [5388, 8188], [1193, 7267], [6260, 10369], [104, 2385], [998, 6045], [5786, 8234], [2023, 6970], [3929, 7910], [7793, 9226], [5880, 7869], [6285, 9086], [2303, 6206], [2270, 10230], [2671, 4912], [4997, 10410], [7870, 8133], [6024, 7244], [2266, 7078], [2132, 3880], [516, 6651], [2223, 3998], [1075, 8335], [4433, 5349], [2171, 7191], [3255, 4559], [2759, 7361], [5401, 8369], [7409, 8862], [4499, 9729], [4437, 8851], [2006, 5811], [633, 1170], [385, 8238], [3580, 9230], [999, 9629], [5388, 7383], [2965, 4204], [3426, 8763], [4804, 7332], [1621, 8629], [1371, 8454], [466, 6133], [6190, 11454], [5511, 8887], [334, 2981], [6656, 9914], [2920, 11227], [4004, 4431], [6213, 9344], [5776, 9343], [7312, 8498], [8272, 10526], [2665, 9954], [7152, 11249], [3824, 9159], [4352, 11530], [4128, 10324], [2041, 7094], [4092, 4251], [330, 5841], [973, 6472], [1663, 4667], [3022, 6966], [351, 10101], [7413, 11182], [3676, 8887], [3032, 11037], [1246, 8701], [2362, 11242], [39, 9425], [6187, 6968], [2644, 3758], [3609, 4632], [139, 5872], [369, 8778], [3285, 11109], [3223, 10231], [7858, 11424], [1397, 9220], [4506, 4776], [1605, 9923], [3089, 4000], [10809, 10908], [3674, 3872], [2061, 10324], [4492, 6948], [717, 11339], [2114, 6952], [1783, 8101], [7375, 7641], [995, 10529], [3236, 7029], [2895, 10900], [4693, 9863], [585, 11570], [2947, 10309], [3886, 5798], [1830, 1881], [7764, 10984], [3781, 7502], [4591, 6553], [6616, 8905], [8512, 9157], [1786, 7244], [430, 5216], [4587, 9817], [6176, 7852], [7519, 8120], [3751, 6512], [1386, 6721], [3676, 10310], [3924, 3996], [3464, 5701], [3987, 7728], [2435, 8040], [3178, 5869], [2870, 5716], [5912, 6466], [523, 7285], [5318, 5727], [125, 6458], [3922, 10716], [1346, 10705], [1988, 3564], [4042, 11572], [4171, 7256], [931, 1603], [4358, 7082], [2553, 6948], [9271, 9717], [395, 5006], [5353, 11548], [10205, 11278], [7309, 9599], [2517, 10674], [730, 10365], [1141, 9899], [547, 11412], [4036, 11353], [164, 8641], [78, 3205], [11283, 11433], [4239, 10931], [2090, 3817], [1379, 8909], [1003, 9561], [4086, 11066], [7933, 10523], [8805, 10452], [2391, 3930], [1960, 11291], [3636, 9325], [615, 3036], [5167, 8136], [2323, 9653], [1517, 4305], [6126, 6529], [1510, 3134], [1864, 8550], [4262, 9198], [7431, 9723], [1576, 4885], [609, 1686], [6302, 8448], [6923, 11010], [6926, 8275], [8827, 8871], [2822, 6718], [7457, 7911], [141, 9165], [2287, 3930], [8513, 10401], [2726, 10393], [10718, 11408], [2559, 11219], [5174, 10404], [2588, 10459], [1507, 9602], [967, 5716], [3398, 9510], [4771, 6981], [3764, 10799], [536, 6661], [1276, 7225], [4185, 6857], [2732, 9834], [3329, 7838], [4392, 7335], [8399, 8959], [2986, 7472], [5099, 5507], [3667, 10085], [5826, 9219], [3302, 9398], [3856, 4322], [10177, 10653], [1144, 7456], [7240, 8973], [4036, 9393], [2363, 5214], [2480, 5799], [7122, 8163], [1454, 9567], [4871, 10194], [3637, 9095], [1987, 5866], [4807, 7735], [5681, 8491], [4447, 7392], [8019, 9842], [617, 4906], [7414, 10442], [2130, 4639], [3271, 3295], [9375, 11089], [5760, 10477], [4268, 4424], [904, 1179], [1786, 8212], [1184, 9864], [10621, 10670], [7507, 9852], [4389, 5882], [2993, 10871], [1159, 5081], [876, 2514], [1813, 9254], [5909, 10169], [3325, 3881], [4624, 5375], [2975, 5754], [10447, 11429], [5876, 11160], [2889, 10117], [4539, 6176], [1205, 1642], [3725, 10389], [5996, 9010], [7775, 8677], [3066, 8501], [4072, 7464], [5278, 6515], [1828, 10666], [2036, 4953], [790, 5749], [6084, 8830], [5215, 6166], [4236, 4862], [4461, 7424], [230, 6846], [70, 3181], [6016, 7383], [6508, 7845], [1059, 3695], [5009, 11201], [1407, 10794], [627, 7421], [2766, 4425], [1783, 7109], [439, 954], [6158, 6685], [6106, 6495], [7066, 8523], [4953, 10488], [5538, 6977], [2073, 2926], [4235, 7993], [1150, 3409], [7614, 10048], [5310, 8281], [19, 5471], [306, 8911], [4939, 9277], [2107, 5893], [8798, 11003], [4493, 5026], [2852, 9430], [2214, 9173], [450, 4876], [9932, 11117], [598, 4774], [2972, 8034], [6076, 9662], [6420, 7974], [10752, 10856], [1874, 5318], [824, 10944], [4988, 6136], [5829, 6752], [1849, 7705], [6608, 10654], [8538, 9736], [8715, 10372], [3584, 9729], [7042, 10357], [2338, 7115], [2426, 2798], [4019, 9657], [9673, 10075], [6157, 8688], [6312, 6347], [2836, 4359], [7808, 9109], [644, 1335], [2644, 7572], [1889, 5976], [1736, 9117], [1579, 11385], [7699, 11044], [2229, 6017], [1086, 10698], [9985, 11451], [5925, 6059], [3722, 8508], [2780, 7059], [2289, 3035], [3376, 11254], [1872, 7850], [6572, 10192], [2186, 9703], [5381, 11449], [5331, 5670], [3576, 11315], [1212, 3081], [5451, 9936], [6910, 9433], [1617, 4298], [2155, 7357], [5259, 6733], [7461, 10475], [4379, 6162], [9050, 9264], [5880, 9268], [1701, 5874], [3319, 9565], [9790, 10205], [2844, 6828], [8420, 9999], [3967, 10540], [137, 8054], [1593, 1618], [4120, 4366], [1886, 8256], [1509, 6054], [1132, 6104], [3706, 9452], [3060, 8523], [8634, 10867], [3923, 10618], [284, 7700], [10894, 11581], [4489, 6276], [1461, 5232], [6997, 11256], [1579, 3009], [4662, 7924], [1391, 2958], [1050, 6829], [2165, 6516], [655, 9683], [3780, 10690], [7119, 9906], [739, 2214], [5873, 11456], [1050, 10212], [4808, 11132], [4123, 11029], [2817, 7610], [1601, 7871], [7089, 11195], [5621, 9700], [6058, 10455], [5836, 11574], [1824, 3190], [2407, 3016], [1474, 5063], [2964, 3873], [8206, 10928], [1260, 10961], [264, 6270], [539, 11201], [3190, 10043], [10057, 10683], [2940, 9114], [9468, 10288], [7226, 10153], [6895, 10548], [7638, 8377], [8932, 9527], [190, 844], [5790, 11579], [3517, 9125], [4482, 11497], [8537, 10129], [9657, 10160], [7835, 8167], [7597, 8753], [8130, 11468], [1150, 6255], [7316, 9265], [4568, 10490], [6008, 9937], [1863, 8379], [1550, 10511], [7799, 8860], [2016, 5588], [2076, 5639], [9636, 11161], [3132, 8129], [5000, 10497], [7116, 8049], [2684, 7215], [7303, 7875], [4397, 7760], [233, 6152], [3591, 9582], [318, 7953], [5008, 6601], [9436, 10699], [8284, 11130], [3730, 9367], [9839, 11089], [4297, 4496], [5257, 6524], [7531, 10334], [8804, 10607], [4783, 10805], [2044, 3448], [6317, 9887], [1166, 2950], [4692, 8408], [8728, 10770], [7857, 11443], [6485, 10410], [8157, 8702], [2623, 8386], [5075, 10805], [572, 4813], [2836, 3017], [1873, 11271], [725, 9192], [5176, 7824], [2956, 11420], [6970, 10051], [3391, 11348], [6068, 11411], [939, 6677], [8531, 10956], [5093, 10980], [5936, 6007], [581, 7908], [1789, 7786], [3783, 4409], [3194, 10430], [1231, 9710], [9642, 10120], [2326, 11374], [1884, 3859], [2820, 6247], [4000, 6329], [3163, 5832], [3440, 4420], [2839, 9680], [6015, 11376], [9690, 9787], [2410, 6534], [450, 9495], [3160, 5534], [3712, 6047], [9374, 11244], [4365, 11530], [1091, 7047], [2173, 3588], [1369, 8489], [6, 8700], [3106, 7176], [5382, 6895], [740, 8695], [4385, 11401], [125, 3669], [428, 1226], [706, 9084], [1707, 5451], [1182, 2597], [1545, 6621], [8575, 8945], [3938, 7679], [106, 8530], [2191, 10933], [3159, 11324], [5287, 10391], [6001, 9734], [1796, 7371], [1194, 9023], [131, 3110], [1856, 5924], [7288, 7461], [297, 4311], [2439, 8002], [4830, 5227], [3085, 5144], [5020, 10986], [6360, 6819], [4056, 9216], [7000, 7179], [2277, 3887], [69, 8998], [12, 8464], [5764, 10171], [3152, 10503], [6142, 8811], [2584, 4569], [8647, 10110], [9870, 11020], [2711, 4344], [2792, 5272], [3664, 5201], [2712, 7198], [501, 1458], [3362, 4082], [1987, 9948], [471, 9917], [836, 1936], [4999, 6325], [2046, 10528], [5991, 10520], [542, 708], [7794, 8329], [7551, 8571], [2079, 9887], [4689, 8728], [6174, 7194], [4434, 7455], [3427, 4857], [266, 1941], [7452, 11194], [1151, 2105], [1622, 8106], [407, 11221], [8220, 10019], [1838, 2254], [692, 1002], [602, 4492], [7902, 8397], [3805, 3847], [5845, 7261], [4785, 7281], [8713, 11056], [3145, 5494], [5197, 9669], [5135, 8791], [9447, 11051], [1140, 3794], [2208, 7799], [5343, 9494], [6158, 8889], [208, 781], [574, 2070], [3163, 6450], [3909, 10212], [7801, 7914], [4993, 8334], [3250, 9078], [6180, 9587], [4251, 7697], [7725, 8104], [2317, 11125], [4340, 10398], [5398, 9551], [3330, 10535], [9601, 11087], [1595, 11140], [5521, 7672], [2586, 6819], [1368, 6253], [2957, 4288], [5641, 6276], [7217, 10522], [7103, 9454], [5565, 7220], [618, 4220], [88, 1022], [7278, 7765], [177, 10893], [7035, 8007], [6259, 8540], [3477, 3765], [4731, 9623], [3015, 8780], [49, 8614], [320, 6633], [6395, 7273], [1386, 9811], [5894, 8977], [7175, 9865], [322, 6679], [193, 7989], [6242, 9660], [4306, 6599], [171, 9893], [2652, 6634], [4174, 7611], [6290, 10081], [3456, 11532], [5159, 11389], [7036, 7427], [3211, 5285], [5728, 7345], [2956, 10428], [1767, 8348], [2142, 7471], [807, 4068], [3071, 8688], [6281, 11466], [607, 2502], [5961, 9798], [2927, 8909], [6005, 9316], [3788, 10177], [2785, 11485], [8516, 11561], [3098, 3314], [264, 8929], [7767, 9753], [2282, 3694], [893, 5690], [8021, 10801], [3868, 9382], [2697, 6353], [6957, 7669], [846, 5120], [5515, 11559], [1917, 8642], [1007, 5977], [284, 9554], [1848, 4341], [4582, 4938], [3054, 9808], [2092, 6953], [5201, 7427], [8559, 10857], [4328, 7273], [1463, 7913], [5702, 8352], [2808, 4090], [129, 2446], [3298, 9387], [7097, 10308], [2608, 8940], [3358, 3776], [3289, 5891], [954, 8975], [4440, 5235], [501, 7687], [9771, 10073], [243, 1235], [5540, 7243], [1180, 7975], [7737, 10641], [3698, 7227], [5594, 7479], [1736, 9361], [2913, 3510], [5839, 10693], [4994, 8423], [5154, 10590], [1283, 1687], [3877, 6411], [601, 7517], [11, 4268], [642, 7518], [4561, 7043], [2128, 2422], [536, 9751], [694, 11091], [9165, 11552], [695, 1113], [7449, 10709], [4951, 5693], [6886, 11535], [936, 9843], [7035, 8625], [2773, 6482], [6278, 6956], [4201, 4414], [9485, 10217], [498, 7365], [456, 7139], [10822, 11414], [1832, 4881], [402, 11040], [796, 10213], [8234, 9888], [305, 6943], [1852, 6287], [3810, 7417], [484, 1990], [2385, 9002], [3040, 10394], [2001, 3377], [393, 6009], [5365, 10005], [65, 2945], [1445, 7976], [7104, 8738], [2954, 11000], [5075, 7398], [9092, 9710], [2617, 5164], [9401, 10465], [8391, 10602], [1087, 6955], [434, 11271], [3445, 10456], [2175, 7448], [1889, 11026], [1046, 10337], [8551, 11234], [4096, 8696], [677, 7996], [5095, 10652], [7485, 11439], [9947, 10382], [5594, 5869], [4992, 7521], [5442, 8481], [3651, 5047], [1070, 5446], [5397, 8738], [2066, 2967], [295, 8833], [8467, 8503], [1787, 6935], [789, 8587], [2067, 9958], [3772, 10642], [6543, 9586], [1963, 8854], [4451, 6012], [2959, 4123], [378, 4522], [1370, 4553], [4136, 8071], [24, 2489], [19, 2145], [2021, 9209], [5275, 5900], [3203, 3702], [2854, 3548], [560, 2469], [7344, 8524], [2055, 2377], [3194, 5868], [6344, 8595], [3438, 6228], [2080, 9789], [7216, 9278], [3384, 10129], [2919, 7326], [3227, 5227], [8017, 10495], [2002, 7654], [2050, 4662], [3532, 9246], [16, 8613], [1940, 7126], [5608, 11536], [2494, 8466], [350, 4702], [4266, 6208], [1501, 4046], [6824, 11275], [3108, 9857], [2187, 7003], [905, 2480], [2333, 6828], [4884, 8472], [555, 4353], [9297, 10784], [1057, 5503], [1559, 10817], [6750, 10013], [1141, 2198], [578, 9440], [247, 3419], [2206, 11567], [358, 10605], [1139, 11170], [2975, 4201], [798, 10877], [547, 678], [8774, 11359], [5215, 7646], [4375, 9884], [6794, 11409], [5392, 6030], [4146, 9832], [8604, 10389], [4464, 9175], [5448, 9345], [919, 9302], [6609, 9377], [9788, 10590], [1029, 6464], [662, 11366], [7448, 7668], [10720, 11324], [5849, 6656], [1217, 9898], [6944, 9074], [5039, 10988], [130, 5062], [3289, 11315], [1054, 5181], [6338, 6820], [1711, 3236], [1143, 4472], [6693, 8674], [3321, 7066], [2354, 3867], [4139, 5978], [3103, 11310], [5247, 8658], [2377, 2538], [4191, 9551], [4002, 7400], [3039, 10736], [2685, 6074], [9849, 10842], [2504, 7194], [43, 5443], [4117, 10541], [1806, 5351], [9104, 9907], [5701, 6734], [6721, 9567], [7629, 11405], [5239, 8366], [1156, 7686], [6419, 8448], [727, 5294], [4199, 9792], [2766, 5100], [7991, 9542], [3992, 5527], [3973, 7005], [1017, 1111], [2864, 11270], [3172, 9171], [767, 936], [3227, 8878], [1523, 3134], [11324, 11572], [7621, 11113], [1943, 11075], [4658, 8212], [4009, 10018], [2605, 3812], [6705, 7879], [332, 1358], [1510, 11193], [1950, 5049], [9, 8060], [3529, 9566], [7261, 9265], [2322, 10290], [633, 1471], [2785, 5850], [6362, 7890], [6455, 10333], [4398, 9197], [6110, 6888], [74, 9586], [4178, 4727], [3398, 7770], [4363, 10142], [8439, 9651], [1402, 10320], [1524, 4833], [2582, 8150], [4, 8066], [6439, 9049], [2669, 6614], [2607, 9900], [8832, 9353], [2051, 7733], [4329, 8279], [5170, 8895], [4169, 10276], [2326, 3242], [8862, 11447], [1947, 4377], [8212, 10776], [3876, 5486], [4344, 5554], [5587, 10122], [1110, 10269], [8453, 10838], [6240, 9189], [4648, 5184], [5950, 11113], [71, 1717], [9747, 11207], [3334, 6041], [7793, 10950], [4264, 5194], [6719, 7130], [4955, 6997], [719, 10239], [8962, 10873], [6285, 10810], [8091, 11546], [3172, 4178], [3230, 8320], [3455, 10882], [399, 7036], [2011, 7529], [1171, 9767], [2953, 8951], [765, 2663], [4314, 4907], [4092, 6780], [2199, 10209], [7263, 7378], [9795, 11224], [6643, 8424], [2415, 9275], [6649, 9370], [5995, 10832], [3409, 3717], [6182, 10658], [1663, 4163], [314, 11250], [2340, 3624], [4394, 10878], [1217, 9711], [4948, 11437], [3606, 6109], [1307, 5440], [9987, 10993], [3362, 9132], [4377, 5205], [8807, 9376], [2422, 8510], [2330, 8921], [4384, 9759], [5442, 8912], [2199, 2988], [2311, 3983], [7642, 8821], [2100, 9398], [507, 6703], [4334, 8891], [4643, 9646], [5357, 8989], [8476, 10151], [4426, 5447], [30, 4270], [1533, 9701], [4800, 5099], [2124, 7890], [7215, 9134], [2459, 9866], [1732, 9537], [772, 1093], [7189, 11296], [5434, 10525], [1673, 2891], [8324, 8602], [7553, 9479], [3084, 8763], [565, 10040], [9508, 9557], [1282, 8146], [5014, 7845], [5640, 10751], [5860, 6553], [590, 4620], [171, 9332], [1343, 3137], [902, 5646], [7099, 7215], [2835, 8409], [4146, 5002], [3740, 4314], [2267, 8891], [1837, 3645], [5386, 10053], [3330, 6136], [3794, 10966], [1707, 7736], [10268, 11123], [301, 703], [7315, 8910], [2864, 3862], [9486, 11087], [4782, 7845], [3839, 6952], [828, 1351], [8895, 9865], [144, 10518], [4440, 5829], [4288, 7687], [769, 9789], [9126, 9239], [1471, 11027], [5552, 10880], [3899, 3970], [2343, 6792], [5990, 8073], [8132, 11010], [1126, 6828], [6549, 9757], [6567, 10336], [1064, 9333], [1246, 8815], [9988, 11082], [659, 5083], [6070, 6497], [5503, 9833], [4541, 11142], [4577, 6635], [2865, 3282], [1141, 8240], [3355, 6327], [1731, 5073], [2039, 2974], [9177, 9527], [736, 3990], [204, 6381], [6439, 11440], [7112, 10028], [8765, 10522], [4375, 6127], [7551, 7823], [5457, 9838], [10436, 10841], [476, 1592], [9753, 11565], [8352, 11292], [3660, 7313], [5091, 11178], [1169, 9857], [5424, 10829], [4961, 9607], [4114, 4258], [5167, 6477], [2372, 7856], [9712, 11160], [3614, 7318], [2898, 7902], [64, 7101], [2829, 2847], [1141, 10468], [8501, 8732], [6192, 6621], [2331, 8986], [6818, 10281], [9891, 10344], [362, 9949], [864, 11099], [2423, 5542], [5315, 9731], [119, 3775], [872, 8708], [2971, 8565], [1075, 2651], [3819, 3936], [2002, 2287], [4891, 10342], [9414, 11294], [823, 10694], [534, 4175], [6349, 10368], [4926, 6364], [3210, 11183], [287, 1265], [2585, 11131], [560, 2363], [3997, 9284], [182, 7106], [875, 11234], [2463, 7169], [4827, 8987], [1023, 7722], [5412, 5476], [405, 2425], [1277, 8770], [3756, 8848], [7740, 8768], [1176, 4931], [6750, 8029], [4470, 10820], [5774, 6996], [6079, 11015], [1886, 3751], [2543, 2560], [2885, 5707], [506, 2857], [4839, 9347], [9570, 10248], [231, 3561], [7505, 11503], [10122, 11515], [1913, 5547], [4637, 5456], [1557, 3468], [1688, 7149], [3399, 6867], [1711, 7318], [3244, 3546], [123, 5721], [3429, 8961], [5535, 9989], [435, 10911], [4540, 11158], [6942, 7044], [932, 4547], [6912, 10585], [2671, 7067], [1802, 4403], [5747, 10811], [4664, 9881], [546, 3730], [4407, 6283], [4372, 9480], [1977, 6097], [2761, 6179], [3413, 8054], [2759, 3100], [2977, 10907], [8610, 10448], [1566, 9946], [1160, 9258], [2292, 4388], [5272, 8424], [3522, 7997], [5244, 6376], [10526, 11352], [7355, 7748], [2291, 10579], [3031, 4727], [6356, 11427], [2903, 5481], [4792, 7972], [2273, 9249], [7536, 10011], [31, 8360], [7637, 10063], [5, 723], [7881, 10423], [1088, 7288], [2335, 9346], [4885, 7382], [1748, 9778], [8090, 8318], [7441, 10124], [3, 3279], [2360, 3926], [493, 2914], [3571, 4075], [2894, 7997], [6039, 10380], [6712, 6716], [5595, 6202], [4385, 9661], [1169, 9320], [3817, 4481], [7017, 10735], [5905, 10565], [9509, 11018], [1388, 4897], [2071, 4173], [3893, 6196], [5804, 6726], [1509, 6355], [8751, 9124], [3494, 11560], [5263, 9785], [9810, 11131], [4889, 7100], [1752, 9496], [2686, 10303], [6939, 11202], [9316, 10973], [7585, 8344], [2734, 5806], [6524, 8893], [5777, 7912], [830, 11328], [5899, 9595], [6556, 7650], [7065, 9971], [3639, 11510], [4319, 4853], [2603, 10426], [2890, 9702], [798, 6128], [2444, 3199], [8080, 8673], [8264, 11234], [2321, 10713], [3868, 10057], [4742, 6649], [5679, 7727], [9251, 9423], [3346, 5222], [3566, 9692], [3748, 8420], [4703, 10858], [3285, 7198], [5514, 6347], [8623, 9073], [1940, 7988], [5008, 7707], [1123, 7766], [281, 1263], [1153, 3444], [336, 970], [3152, 10991], [3637, 3866], [4474, 11156], [1186, 2803], [10263, 11210], [4041, 11274], [7211, 8237], [5648, 8390], [3246, 9498], [1945, 7177], [10217, 11215], [1946, 4369], [5404, 11413], [6550, 9659], [5588, 6804], [9222, 10132], [315, 8737], [2622, 10021], [3359, 3898], [8718, 11538], [4217, 6373], [532, 858], [8716, 10711], [690, 7860], [8497, 9095], [756, 5447], [9710, 10071], [2748, 5407], [346, 7269], [5788, 10248], [2180, 5889], [6039, 7615], [1868, 2584], [5663, 8267], [5030, 8354], [1606, 6556], [4886, 8575], [1180, 1429], [1075, 3887], [651, 8255], [4691, 5855], [6621, 10599], [2347, 6941], [3663, 3878], [2598, 10724], [6457, 9444], [7678, 10281], [8134, 10332], [5901, 10660], [8348, 8571], [5371, 8216], [2586, 3924], [7076, 8146], [8629, 11442], [40, 6007], [9158, 10251], [5519, 11497], [8069, 10287], [7413, 10922], [6, 9806], [8564, 10266], [8222, 9748], [332, 1870], [3177, 10377], [3571, 10304], [4010, 4716], [799, 10381], [9013, 10277], [1807, 10171], [773, 4996], [3761, 7395], [2472, 11500], [5832, 8587], [4651, 11286], [6201, 10147], [4329, 8791], [6419, 11538], [4575, 5814], [10343, 11407], [932, 2400], [5603, 6256], [2647, 6778], [2588, 9581], [9059, 10221], [6106, 10260], [230, 10961], [1614, 2205], [7153, 8500], [8381, 9754], [1750, 5449], [4140, 6236], [4790, 9536], [4230, 8381], [1321, 2333], [7585, 11540], [364, 3986], [6872, 9389], [8174, 8902], [2849, 7262], [5875, 7479], [2514, 10167], [479, 711], [8293, 9533], [46, 7245], [7926, 8019], [1732, 3715], [2501, 2765], [4494, 5579], [2063, 2539], [3081, 8709], [724, 1646], [11236, 11408], [4455, 9788], [2650, 3238], [6909, 11499], [3387, 9166], [7972, 10996], [522, 9052], [472, 3273], [3886, 4383], [2141, 4300], [2361, 6518], [5232, 9830], [1211, 10028], [4326, 7284], [9135, 10350], [6082, 10939], [3313, 11287], [5142, 9563], [4094, 4682], [9006, 10879], [162, 4171], [1760, 4958], [982, 4664], [484, 10049], [6570, 10878], [288, 6727], [7509, 7865], [718, 5557], [3674, 5035], [4670, 7474], [4619, 10138], [1526, 1529], [1677, 8114], [3955, 4496], [1830, 9110], [351, 1010], [3016, 10138], [4224, 5852], [1634, 2001], [3925, 9168], [1451, 3048], [2259, 7688], [2644, 7499], [2639, 7155], [1414, 3166], [1195, 1550], [9942, 11331], [5721, 8435], [1447, 2525], [1202, 8356], [7769, 9458], [1472, 3521], [721, 11466], [3619, 10939], [4395, 4744], [5107, 8922], [7163, 10587], [1153, 4680], [5110, 6187], [3429, 4399], [8043, 11131], [215, 4131], [9528, 9597], [8026, 9272], [5421, 10775], [404, 620], [4078, 5976], [6559, 8379], [5196, 9344], [4440, 10529], [5107, 9272], [364, 4604], [3225, 7228], [2354, 10153], [2812, 7998], [6189, 9950], [79, 10255], [2290, 9579], [3712, 9194], [4247, 6320], [888, 9835], [690, 2680], [2594, 6957], [1508, 2346], [9221, 10362], [415, 10554], [8973, 10260], [5893, 9026], [845, 10138], [2048, 5508], [809, 4065], [55, 5323], [3549, 7860], [3308, 5519], [1933, 10631], [3397, 8220], [2903, 7685], [864, 7155], [8594, 10614], [750, 10251], [5294, 11326], [5777, 7538], [8309, 11384], [2454, 6546], [1301, 4123], [6557, 10130], [7278, 10644], [2976, 8348], [1983, 10344], [3253, 6936], [2136, 11340], [6207, 10505], [54, 2038], [3106, 7640], [3068, 4904], [3379, 9492], [2627, 7413], [6892, 7575], [6417, 10500], [5396, 10448], [3142, 6546], [5328, 9001], [4827, 11459], [5799, 8586], [278, 2870], [717, 3671], [7972, 10809], [3547, 4730], [6967, 8284], [8035, 8125], [1421, 11371], [4043, 7563], [8365, 10511], [3200, 3868], [1486, 5350], [247, 3907], [464, 2444], [6369, 6645], [2822, 10109], [3939, 4207], [1454, 10730], [5628, 6610], [893, 1803], [5306, 10531], [332, 3456], [7270, 8443], [1418, 8040], [4429, 7225], [2352, 8847], [573, 3518], [6711, 10142], [1092, 8055], [9440, 11149], [3552, 10335], [4856, 5757], [3679, 5192], [3001, 6260], [8226, 10702], [1877, 8739], [884, 10735], [3804, 4140], [528, 9410], [2804, 9129], [8057, 9203], [1222, 10730], [3512, 3739], [3171, 7610], [9641, 10277], [6028, 6328], [1298, 8281], [9300, 9984], [7901, 11292], [2648, 4802], [6343, 11035], [3970, 11383], [3593, 9181], [1829, 11300], [4556, 5064], [6030, 9757], [1753, 5828], [3776, 5101], [502, 618], [5613, 10408], [6610, 9285], [3112, 9258], [2284, 2431], [413, 3929], [98, 9021], [4019, 5209], [7718, 8932], [2993, 11229], [899, 10992], [4739, 7750], [6193, 6903], [4663, 8694], [4252, 6908], [4690, 6353], [5469, 10255], [10042, 10570], [5136, 7571], [2724, 8745], [7149, 8408], [1643, 8642], [3322, 10357], [3038, 4182], [4810, 8340], [3595, 11455], [2291, 2447], [2387, 9325], [9551, 9929], [236, 8554], [6765, 8418], [1725, 9391], [2682, 5486], [4249, 6960], [264, 6815], [9006, 9082], [919, 4797], [2470, 11430], [6661, 10697], [7093, 11108], [69, 3314], [965, 10053], [67, 2487], [5139, 10851], [3334, 10717], [2706, 6230], [686, 9140], [9094, 11531], [4798, 10558], [2798, 9202], [8149, 9811], [3326, 9321], [236, 7399], [1211, 4043], [5743, 8521], [2485, 7924], [5403, 11082], [8672, 8805], [2046, 4844], [5678, 6591], [4165, 10241], [1073, 1076], [10029, 11408], [1013, 4408], [1190, 5044], [3117, 11025], [3593, 10954], [350, 1620], [792, 1965], [7698, 8949], [310, 8637], [538, 10716], [6608, 11012], [3363, 11431], [526, 2785], [6040, 11494], [2272, 5722], [4493, 5734], [2867, 7063], [1466, 7544], [2985, 11256], [6660, 10421], [368, 4828], [1766, 11219], [1735, 8900], [1556, 7437], [5943, 10780], [2488, 7417], [6875, 9262], [3628, 8854], [603, 11491], [2786, 10265], [3065, 3264], [114, 1878], [487, 7344], [51, 7191], [7076, 11423], [1011, 5809], [507, 1580], [3813, 4820], [4778, 7192], [4874, 7654], [4800, 9425], [5775, 6069], [3332, 7930], [787, 816], [5699, 7013], [10330, 10716], [10868, 11523], [6164, 8281], [2982, 6770], [8897, 9407], [5875, 11561], [3357, 9276], [7834, 9883], [4250, 10082], [6805, 9216], [3231, 4441], [805, 1745], [8975, 11168], [47, 6267], [9195, 9222], [2753, 11232], [1514, 9789], [4413, 8733], [6986, 7692], [3213, 5740], [666, 11385], [1294, 4538], [5614, 10823], [853, 11211], [1281, 9968], [3430, 7660], [2432, 9312], [2394, 6576], [4269, 5197], [3488, 5386], [3525, 10149], [2732, 5817], [5782, 11346], [6692, 7595], [7225, 10310], [2704, 4523], [3419, 5966], [802, 6708], [1889, 7757], [777, 8341], [493, 8582], [4041, 5720], [397, 2458], [2950, 4175], [1867, 3245], [9356, 10055], [3475, 6248], [3628, 7244], [4032, 4853], [7574, 10844], [3102, 4919], [5108, 8749], [9722, 11317], [233, 7315], [1570, 5883], [3404, 10919], [1995, 4369], [1997, 5196], [190, 4235], [3070, 5381], [948, 3096], [1624, 6119], [5705, 5972], [884, 5555], [6880, 9874], [2157, 6582], [2408, 10365], [3361, 11222], [2900, 3657], [68, 273], [7342, 7461], [3955, 8928], [1240, 5375], [5875, 6568], [3958, 6193], [10649, 11303], [3390, 6675], [563, 3635], [9088, 11529], [5382, 6635], [4728, 5845], [7243, 7832], [3349, 10057], [8206, 10131], [477, 6520], [4043, 11377], [671, 9769], [917, 6792], [2345, 11140], [46, 9717], [1823, 6305], [7265, 8530], [6086, 11302], [546, 1372], [360, 9318], [5406, 11543], [922, 10519], [328, 3364], [2754, 6814], [600, 1608], [4053, 8308], [1283, 5802], [8287, 9157], [9247, 11185], [2771, 3785], [4993, 6651], [1440, 9169], [1381, 5556], [2773, 3831], [2895, 8924], [6449, 10014], [907, 9837], [1813, 10848], [3269, 4412], [1280, 1717], [1397, 3056], [3105, 9673], [3763, 4920], [5186, 8924], [3761, 8257], [4635, 4849], [3821, 8308], [3998, 7446], [5682, 9505], [7056, 10584], [990, 11161], [3911, 11584], [2120, 4740], [5697, 6780], [10471, 11515], [1091, 4827], [6047, 10542], [6172, 9490], [3925, 8257], [6532, 7581], [12, 10432], [5053, 5897], [134, 5699], [7658, 10810], [7286, 8952], [5438, 5738], [5637, 9331], [708, 1275], [6129, 9793], [1062, 5937], [6620, 10030], [2229, 11449], [4109, 11168], [5594, 9634], [7306, 7325], [124, 4607], [1197, 4068], [1955, 9345], [6652, 11416], [947, 3893], [10871, 11233], [951, 10428], [7202, 9604], [3222, 9803], [8855, 10098], [6830, 7746], [2600, 7770], [6545, 7762], [10495, 11104], [1758, 2765], [4585, 6559], [4674, 9260], [1186, 6511], [3421, 9639], [2330, 4684], [1182, 2605], [210, 3226], [657, 3915], [6388, 6997], [5285, 10353], [6941, 10364], [4453, 10954], [3732, 11194], [4205, 6688], [3107, 4726], [3738, 7976], [8153, 11115], [6899, 10892], [1789, 3956], [3882, 11138], [3872, 4034], [1514, 5414], [1258, 1287], [6887, 10508], [54, 8698], [696, 5721], [3373, 5784], [8295, 10417], [4549, 6878], [825, 4788], [3435, 10045], [2380, 11163], [3024, 4849], [1941, 7329], [3770, 6359], [7825, 11407], [1003, 6780], [8442, 10063], [2396, 8663], [2334, 7031], [4020, 9917], [2086, 11066], [7927, 11310], [1831, 3377], [9422, 10464], [2047, 8105], [1075, 4562], [517, 5732], [1888, 9546], [7557, 9498], [7083, 8861], [508, 11281], [2968, 7145], [5927, 10304], [693, 11034], [7472, 9575], [8597, 9950], [3958, 11267], [3557, 10923], [2647, 8258], [9380, 9807], [258, 1657], [4012, 11503], [781, 3684], [5137, 5462], [6317, 9708], [398, 7329], [4413, 8814], [2928, 3932], [7253, 10561], [3366, 7541], [3547, 4169], [4476, 6884], [1335, 5374], [5195, 9200], [978, 10240], [10038, 11096], [7170, 7301], [1201, 5559], [1543, 8706], [1608, 3439], [6608, 9483], [445, 6744], [2910, 9368], [4555, 5083], [2748, 10538], [4312, 5325], [5339, 9329], [690, 9958], [4427, 5837], [1681, 7889], [4893, 5078], [1498, 8182], [4180, 9343], [6206, 8133], [3486, 11406], [3985, 5869], [1562, 9106], [11457, 11544], [2116, 10446], [7536, 9694], [10832, 11492], [7437, 8934], [9092, 10255], [1855, 9358], [5320, 6993], [5196, 9401], [1139, 3526], [3112, 9852], [5058, 8713], [3573, 3831], [2914, 4949], [395, 6226], [8920, 9956], [4663, 5905], [762, 11123], [6899, 8477], [860, 1078], [22, 4143], [2852, 7454], [1450, 2075], [3072, 9672], [1955, 9158], [8390, 10141], [3662, 6505], [730, 11585], [6189, 10007], [2784, 6007], [358, 3311], [3379, 10354], [5330, 7307], [9595, 9721], [3178, 9317], [1254, 11181], [4218, 11274], [8721, 10096], [101, 9512], [92, 7514], [10145, 10538], [2612, 7593], [5767, 10664], [4764, 11218], [7622, 7909], [6099, 6707], [3516, 5525], [4130, 7670], [5904, 6239], [6910, 8612], [1459, 2137], [6498, 9607], [4010, 10197], [2601, 5899], [2174, 10750], [233, 6591], [5002, 10982], [3065, 4313], [3538, 4725], [3784, 4000], [5368, 5855], [2171, 4036], [4602, 7076], [7957, 10235], [9476, 10537], [6052, 6487], [5964, 6640], [1439, 3363], [76, 3574], [5024, 5264], [7582, 8079], [2534, 5027], [3833, 6521], [3181, 8810], [4364, 6157], [3125, 8878], [35, 6956], [317, 5888], [5012, 11296], [5643, 8130], [1689, 3888], [2372, 3164], [125, 2685], [1868, 6105], [7778, 10650], [1217, 11248], [153, 1700], [187, 530], [2210, 6219], [7559, 8253], [9427, 10621], [4045, 8447], [242, 10036], [3015, 10561], [3287, 8805], [8698, 9465], [1296, 3031], [272, 5714], [2605, 5967], [5148, 9248], [8052, 9290], [6963, 8572], [8083, 8603], [4089, 10624], [7604, 7622], [1442, 6239], [2906, 6080], [5120, 11337], [2563, 2708], [2590, 10947], [2766, 3067], [1532, 1968], [1471, 8108], [1273, 3205], [944, 5181], [6324, 10692], [8908, 10564], [9801, 11370], [7437, 9552], [1952, 3493], [6530, 10568], [3042, 4813], [1772, 8221], [2611, 5758], [7862, 11421], [5632, 6385], [2297, 10294], [3720, 7882], [3756, 7539], [4034, 8981], [6124, 10230], [10136, 11444], [1299, 8159], [3653, 9289], [6827, 10158], [4869, 9782], [9946, 11320], [1639, 8981], [4311, 8700], [7232, 11375], [1280, 6604], [972, 2287], [5400, 6385], [1092, 7307], [2284, 2488], [2812, 9023], [2960, 5511], [1717, 6578], [3489, 8484], [5266, 6570], [7282, 11088], [3230, 4059], [959, 8067], [4818, 9039], [3434, 10655], [172, 1271], [3036, 9828], [4244, 9706], [6608, 11524], [851, 3057], [2816, 5358], [6487, 7033], [1788, 8299], [5215, 9614], [2412, 10378], [4432, 5970], [130, 6680], [4278, 5503], [3922, 4178], [1654, 4320], [8479, 10376], [1758, 8807], [3329, 6293], [2809, 4537], [2000, 8340], [3583, 3931], [10890, 11259], [2932, 9074], [5048, 10790], [3543, 4532], [3329, 9676], [5008, 11391], [3415, 5286], [2274, 4378], [3826, 4066], [1742, 6769], [3327, 9603], [3755, 5354], [3512, 8602], [4260, 6775], [4592, 9234], [808, 7093], [2045, 7709], [6126, 7562], [1138, 8725], [3438, 6586], [3720, 6272], [2345, 11384], [3661, 9075], [8017, 10853], [10405, 10813], [391, 11127], [2810, 6236], [7608, 9113], [2249, 11272], [1507, 4219], [4480, 7084], [5073, 8352], [8304, 9755], [38, 3253], [65, 11492], [1113, 9957], [4141, 4585], [2665, 3229], [4452, 9173], [1046, 2319], [10422, 11517], [1606, 6857], [6026, 6176], [1697, 6221], [2139, 7320], [3789, 4133], [3515, 5062], [2851, 5836], [3843, 10031], [328, 2453], [6277, 6926], [1858, 4045], [762, 9326], [1481, 1843], [3026, 7530], [5886, 9929], [3277, 8280], [875, 2972], [2958, 3050], [4131, 6125], [5827, 9699], [1152, 4943], [674, 2689], [780, 3085], [1153, 2135], [83, 1467], [9743, 10424], [1052, 4712], [4450, 5289], [6036, 10223], [652, 806], [7922, 9006], [1043, 10261], [9293, 9814], [6614, 8924], [293, 3347], [5430, 5690], [256, 9881], [3893, 6310], [2996, 8014], [726, 11493], [4427, 5463], [1158, 5488], [3525, 6823], [6147, 7179], [5015, 5633], [6923, 7400], [5395, 5854], [997, 10266], [3263, 9297], [2053, 6340], [7283, 11126], [321, 10626], [10837, 11462], [596, 6889], [656, 6940], [3550, 5540], [5071, 10079], [1518, 6181], [2490, 3308], [6385, 6943], [298, 8952], [3043, 7429], [1737, 4010], [7172, 9982], [145, 4923], [3978, 4674], [9752, 10112], [4962, 5598], [1446, 10627], [3559, 9416], [2750, 6803], [5893, 8359], [3441, 10858], [6242, 6261], [3379, 3564], [1321, 9400], [595, 8542], [10594, 11303], [3177, 5335], [2308, 2671], [4047, 5191], [6413, 11219], [2901, 7322], [10296, 10333], [11524, 11587], [2548, 5514], [1710, 8579], [5297, 11307], [464, 5965], [593, 1649], [407, 9595], [1147, 9405], [4142, 8811], [10360, 11257], [4732, 5644], [4164, 6126], [6469, 10747], [3919, 10459], [5032, 8565], [4285, 7584], [4594, 9093], [3756, 5742], [5779, 7267], [2317, 9149], [3965, 9299], [5589, 11307], [6489, 9120], [7199, 10219], [301, 8014], [6829, 9188], [4430, 10567], [827, 7306], [6269, 8033], [199, 1321], [7855, 8803], [4302, 9069], [8809, 11016], [1989, 3806], [1901, 8123], [1120, 1142], [2486, 4612], [5013, 7360], [3736, 9597], [5575, 9315], [2464, 5762], [2392, 4196], [869, 2994], [26, 5715], [6999, 9757], [5595, 9967], [3955, 8180], [5096, 6836], [994, 1942], [3323, 11121], [7748, 8532], [7249, 7653], [1648, 10279], [4587, 7898], [9731, 10658], [9268, 9436], [7229, 8125], [344, 9565], [4855, 9002], [4803, 8812], [9500, 10883], [1372, 10007], [2502, 10726], [5140, 5199], [2122, 11259], [1752, 3812], [5234, 8998], [4418, 5214], [1147, 4412], [596, 1091], [1745, 6024], [1743, 2945], [7471, 11391], [3452, 6000], [496, 6522], [494, 10613], [1764, 7205], [6192, 10549], [203, 9683], [616, 5126], [764, 1614], [1861, 4105], [636, 5778], [4314, 10876], [5964, 7689], [10002, 10878], [102, 5844], [3723, 8156], [5397, 9527], [8540, 11083], [3750, 5815], [750, 10202], [4029, 8613], [2331, 8376], [668, 11301], [286, 8755], [8338, 9821], [1746, 4690], [4230, 11528], [2145, 2709], [7910, 11037], [928, 2745], [7157, 9487], [1959, 2704], [2893, 9927], [1202, 6697], [1663, 5594], [50, 7882], [2015, 3767], [3756, 6360], [6462, 11325], [3936, 5015], [4522, 10774], [8455, 8477], [2505, 6785], [1908, 2365], [3367, 6026], [6450, 6777], [5920, 9995], [2615, 3947], [8597, 10812], [4060, 10154], [947, 6528], [6210, 7290], [4739, 6278], [1026, 4377], [3615, 8757], [3556, 11560], [3708, 8167], [2084, 6913], [3230, 5913], [2926, 8131], [5508, 11340], [9121, 9627], [7748, 9150], [5434, 6695], [4439, 7864], [3539, 3635], [9679, 11086], [4215, 6658], [3999, 10975], [5088, 9441], [3689, 9995], [2319, 9789], [5624, 9421], [1575, 8325], [1946, 10712], [7352, 11028], [561, 8720], [3181, 8249], [5328, 11530], [505, 4624], [2623, 3003], [1835, 6185], [6764, 7825], [2273, 9794], [6763, 7600], [627, 3274], [4511, 10160], [7405, 8006], [464, 4973], [1147, 1997], [2107, 4779], [3724, 11278], [5403, 6577], [5840, 7332], [1456, 3506], [485, 2817], [8955, 11004], [4813, 6711], [1795, 6355], [397, 10517], [3563, 10771], [4994, 8220], [794, 6955], [696, 4168], [5370, 10951], [3705, 6690], [1525, 7433], [977, 2875], [4616, 6547], [3774, 7958], [4889, 7645], [3927, 8954], [3619, 4637], [4025, 5325], [3017, 6289], [408, 10302], [7217, 7554], [26, 1340], [8559, 9849], [589, 6149], [8465, 9433], [5003, 11315], [3016, 3031], [3076, 3836], [5125, 10746], [5161, 6239], [3767, 7137], [2084, 2270], [477, 1397], [2384, 5191], [2812, 8112], [3696, 5392], [4940, 7933], [5205, 9170], [5800, 6347], [7141, 11450], [1441, 3517], [5637, 8046], [389, 1900], [1318, 2363], [6474, 8920], [9614, 10959], [4171, 4345], [5764, 11204], [3823, 7045], [378, 11540], [8083, 9115], [2644, 5653], [2427, 5618], [3987, 11583], [3881, 4771], [3010, 7696], [66, 9733], [1027, 2537], [777, 8024], [5352, 9166], [728, 10791], [2264, 6536], [6405, 10604], [8177, 8346], [9949, 10252], [608, 9908], [9720, 10954], [506, 9631], [2935, 5428], [10844, 11104], [7728, 7961], [3681, 6938], [8782, 9624], [2283, 11100], [840, 1556], [8897, 10513], [2980, 11213], [3083, 6430], [4972, 11173], [63, 5247], [1150, 6296], [6649, 9809], [8834, 10164], [5938, 10737], [8457, 10214], [2454, 2472], [3734, 6168], [1272, 7979], [1489, 6516], [772, 6875], [791, 11089], [5001, 6626], [3232, 9155], [488, 700], [4629, 11184], [10905, 11356], [1173, 10602], [6116, 9696], [3062, 7431], [176, 8692], [2156, 11301], [2399, 4643], [2428, 3129], [5244, 6734], [3995, 4603], [3234, 4690], [5604, 10460], [5785, 6334], [1740, 2728], [8601, 9939], [6918, 11488], [8475, 11520], [4609, 9377], [8403, 9954], [5106, 10183], [624, 2816], [4271, 6349], [5103, 9131], [1249, 2087], [5067, 7222], [3358, 9802], [2484, 6794], [10362, 10905], [1979, 11008], [2079, 2544], [2879, 6569], [5253, 9829], [2832, 7477], [4472, 9264], [4480, 6873], [3193, 8422], [4689, 11184], [1817, 9899], [6483, 10405], [7763, 8439], [2976, 6852], [3468, 7314], [7795, 10606], [448, 10295], [8954, 9811], [2678, 3253], [107, 3586], [3708, 6020], [2591, 10424], [5211, 9953], [7945, 10550], [7606, 11084], [1030, 6486], [3053, 8011], [943, 7241], [281, 2426], [4166, 4619], [2048, 6240], [564, 10628], [8871, 10715], [8023, 8928], [2212, 10778], [4290, 9758], [3352, 11461], [181, 7857], [3379, 3458], [4605, 8049], [333, 5218], [1704, 1862], [3942, 5261], [6118, 7782], [4903, 10897], [4712, 11329], [8447, 10545], [8070, 8343], [97, 5126], [5652, 9672], [2443, 5584], [666, 1082], [4719, 5303], [2322, 7509], [2687, 5944], [7293, 8651], [6895, 7824], [2709, 4013], [1155, 1246], [2003, 3033], [1841, 4203], [10096, 11270], [292, 1780], [2710, 3834], [2636, 5605], [2331, 11385], [2957, 10127], [3697, 8439], [9366, 9889], [5792, 11530], [3363, 9317], [6072, 8137], [10795, 11429], [275, 6687], [2417, 3208], [9956, 10105], [3067, 11426], [6993, 7204], [3626, 6694], [2421, 10497], [5282, 6705], [5927, 7409], [2312, 2633], [5871, 10483], [785, 3941], [5179, 6957], [2193, 4604], [1102, 9475], [7531, 10643], [4205, 5216], [9593, 11342], [6658, 10489], [3146, 6592], [7822, 10038], [1874, 9173], [5888, 7804], [3085, 8568], [6497, 8851], [2806, 9907], [6029, 6531], [4728, 8374], [29, 5476], [2047, 10821], [5686, 10329], [10173, 10870], [3260, 6879], [4168, 9471], [3411, 7048], [983, 1273], [153, 11369], [81, 2633], [8891, 9730], [7456, 8375], [8866, 11363], [2080, 9399], [10007, 10019], [4561, 10304], [4282, 4473], [1694, 9363], [6241, 8457], [1033, 7402], [8670, 10670], [974, 3789], [1975, 8824], [220, 8053], [722, 9203], [1878, 8891], [9591, 10491], [431, 6021], [5355, 7317], [960, 4830], [1113, 5826], [1643, 2608], [3579, 11304], [649, 10795], [4164, 7793], [2858, 2876], [9363, 11014], [7558, 10880], [616, 1987], [4201, 11058], [8306, 9053], [8182, 10707], [2389, 9753], [6330, 6593], [366, 10857], [5782, 6199], [5118, 6973], [3879, 5530], [732, 6484], [2531, 9055], [824, 3040], [607, 4503], [98, 2182], [6386, 10285], [10035, 10481], [9750, 10497], [2871, 6090], [1993, 5592], [4453, 7872], [5262, 9704], [5854, 7364], [3288, 7317], [3227, 9293], [1270, 5355], [10198, 11010], [3408, 11556], [82, 4631], [2038, 10596], [10587, 10970], [2598, 3056], [2407, 3488], [6673, 8756], [1121, 7891], [7753, 9388], [8539, 10297], [2063, 2897], [2584, 8261], [6345, 6446], [4020, 10218], [257, 8954], [2062, 3426], [904, 7075], [181, 9898], [6882, 10034], [996, 9293], [6197, 9177], [2212, 9786], [4853, 10192], [5850, 9069], [2488, 8149], [6743, 9875], [3689, 6856], [332, 7034], [2567, 6752], [3513, 9074], [675, 7373], [10692, 10740], [4742, 9048], [727, 6782], [1190, 1588], [2315, 6127], [725, 10119], [4835, 8458], [1621, 8190], [4458, 6256], [7223, 9172], [4647, 9161], [9688, 11042], [3994, 11225], [2344, 8750], [5234, 9860], [4339, 8227], [932, 7564], [806, 11397], [5388, 7294], [6193, 8253], [1592, 10054], [938, 11516], [413, 8662], [1589, 9756], [868, 9242], [5689, 7407], [1451, 9822], [615, 3134], [1456, 10166], [5064, 7355], [1731, 5675], [8761, 10251], [9974, 10473], [9583, 10817], [6739, 11580], [1638, 9648], [4779, 8125], [4785, 11323], [9632, 10709], [1418, 4397], [4737, 7899], [4675, 7021], [697, 3883], [1228, 3519], [4808, 9994], [3306, 9669], [3342, 9326], [2093, 7195], [5955, 7684], [5621, 8562], [509, 7969], [6534, 10774], [2341, 3510], [5396, 9383], [4326, 8715], [5102, 8936], [1062, 9084], [7445, 9877], [7106, 10411], [6784, 7916], [3673, 11533], [335, 8755], [216, 7343], [710, 4468], [4331, 6780], [1741, 8591], [901, 10829], [270, 1163], [2078, 4978], [7363, 10225], [7275, 7372], [432, 9038], [6120, 9040], [1359, 9428], [3819, 10954], [115, 1225], [3342, 5138], [6301, 10549], [9262, 10371], [5272, 10636], [2006, 10178], [1290, 4346], [1539, 5050], [4612, 5113], [2924, 5564], [1036, 5927], [8224, 9591], [4580, 6329], [5010, 11575], [347, 1918], [101, 3397], [2671, 5091], [6196, 6941], [3830, 4296], [1268, 1739], [3735, 5190], [6166, 8230], [2800, 4158], [1394, 10711], [918, 7749], [3445, 10497], [7332, 7855], [2581, 8931], [3722, 6833], [1480, 6698], [3498, 7879], [609, 3207], [227, 7077], [6682, 9436], [698, 8914], [11222, 11523], [5393, 7906], [2509, 3578], [293, 8828], [7786, 8210], [2903, 3505], [3040, 9630], [2846, 7135], [6669, 8450], [6385, 8691], [10118, 11244], [4495, 10139], [4526, 5288], [5980, 10857], [2690, 5841], [4015, 6304], [8003, 10130], [2120, 9660], [9093, 11450], [3520, 5544], [2116, 5754], [2454, 5749], [1927, 6986], [5316, 11227], [1962, 2254], [618, 9685], [4047, 5411], [236, 7139], [1648, 10954], [2696, 8665], [9177, 10747], [2484, 4810], [1171, 4384], [3910, 6079], [1601, 3968], [732, 1304], [6810, 7877], [3844, 7711], [2197, 11169], [7481, 9802], [10158, 10619], [3341, 9342], [51, 7736], [2201, 11288], [1472, 4497], [4092, 11196], [3686, 9754], [5957, 9129], [938, 10979], [860, 9568], [3214, 10698], [5449, 10416], [5793, 7974], [1503, 3783], [3762, 4272], [4887, 8811], [1427, 7356], [8775, 9023], [3076, 11114], [4383, 10217], [2008, 10492], [370, 2362], [2701, 8204], [7209, 8124], [710, 5436], [3407, 6151], [2440, 7116], [9496, 9880], [1622, 4390], [3705, 10130], [2213, 4077], [7034, 8658], [3635, 8610], [1016, 5519], [3293, 8092], [5349, 5593], [1357, 11447], [5846, 9782], [9640, 10359], [3437, 10473], [1205, 8774], [3034, 7050], [2745, 6947], [5212, 5480], [8192, 10270], [883, 6279], [8162, 11559], [4370, 5393], [2881, 9437], [7069, 9941], [818, 4349], [2313, 10673], [904, 4123], [1401, 4175], [2987, 3447], [9404, 9486], [316, 6582], [27, 6479], [4020, 10649], [1649, 7660], [935, 2655], [2860, 7055], [7161, 9126], [5098, 10454], [4110, 4126], [2736, 6430], [2605, 3503], [1388, 9955], [8050, 10163], [770, 11074], [1990, 8303], [7585, 11524], [5061, 8293], [3595, 7625], [6029, 7930], [5031, 9582], [4494, 5213], [4089, 11543], [8355, 10395], [2870, 11506], [7725, 9999], [5177, 6374], [6489, 6575], [374, 6536], [3263, 4792], [2120, 9473], [3059, 10624], [9253, 9266], [1345, 6444], [6042, 8515], [3528, 9382], [4755, 10064], [4884, 5748], [6857, 7910], [1059, 3606], [5353, 10922], [7660, 9954], [1017, 3380], [6164, 6411], [1338, 6404], [5476, 6791], [2425, 4043], [4130, 6979], [4109, 6102], [685, 4304], [637, 880], [2820, 4572], [7773, 10770], [2513, 9525], [1264, 7394], [4896, 9141], [4223, 10553], [2817, 9936], [6552, 9152], [8171, 10816], [7205, 8219], [3524, 11491], [912, 3155], [3747, 10974], [3869, 5487], [2210, 5178], [3605, 7134], [6750, 9517], [55, 6917], [254, 10510], [4416, 9039], [2678, 10881], [1241, 8699], [6366, 9527], [459, 4499], [932, 4157], [7952, 8045], [9206, 11274], [895, 11445], [4066, 8633], [5551, 7099], [454, 7538], [710, 5249], [1070, 3340], [1672, 1688], [3408, 6189], [5364, 10656], [3165, 6431], [6681, 11201], [697, 9925], [6151, 8003], [6822, 9928], [2935, 6908], [1065, 2215], [1102, 11142], [2035, 2679], [40, 8837], [998, 3622], [8404, 8677], [2034, 8843], [98, 9192], [2025, 4593], [2143, 6534], [2733, 9783], [4, 3114], [364, 7621], [3885, 5565], [4936, 9963], [2140, 5482], [240, 8494], [1119, 5430], [2418, 7678], [6249, 10766], [707, 10589], [110, 6169], [1233, 10635], [101, 2673], [7330, 8590], [3899, 5621], [604, 6677], [3969, 11278], [3972, 10795], [874, 1842], [5672, 11135], [6890, 7537], [3428, 9419], [3113, 8095], [970, 11349], [6410, 7085], [9221, 10346], [2647, 6575], [8086, 9283], [2989, 3306], [5255, 8753], [1337, 9830], [6252, 9882], [3948, 5863], [1456, 4799], [2264, 9439], [4416, 10812], [488, 7791], [5125, 9811], [3750, 10759], [2322, 6411], [3846, 4805], [10408, 11225], [3591, 9948], [3632, 9949], [7739, 8771], [5435, 7758], [1445, 3105], [3929, 9943], [2654, 5837], [8163, 10038], [9259, 9675], [3407, 10770], [1700, 7761], [1222, 4753], [2691, 9102], [2, 7524], [6203, 6583], [1913, 8808], [856, 6093], [9, 1498], [318, 8669], [7412, 8534], [2405, 5483], [5788, 7280], [10177, 11450], [4447, 11222], [4511, 7265], [2298, 11278], [7059, 10890], [8393, 9160], [9084, 10209], [3172, 11253], [622, 6801], [2826, 4200], [11193, 11508], [274, 9501], [5809, 8507], [207, 1109], [243, 7936], [4432, 10540], [2076, 2167], [1570, 10697], [990, 8136], [9424, 10250], [8581, 8807], [6215, 10326], [9236, 10199], [1387, 5328], [2192, 9697], [4038, 10586], [2446, 5083], [5090, 9170], [5704, 10561], [13, 10261], [2616, 5679], [2989, 11145], [1238, 1448], [9022, 11559], [746, 4369], [2743, 11089], [155, 9563], [7022, 10957], [1519, 9954], [306, 1064], [6157, 8412], [1726, 11186], [3883, 8739], [2885, 10391], [114, 7660], [603, 4441], [360, 11099], [1067, 2101], [4675, 6460], [5612, 6784], [7291, 8499], [1754, 3004], [4145, 6645], [1414, 9729], [664, 4313], [1254, 5310], [8385, 10692], [94, 2470], [2371, 11459], [1523, 9672], [7064, 9624], [5534, 11415], [9207, 9753], [2323, 11418], [10480, 10780], [4661, 7851], [5930, 11388], [4075, 4721], [1571, 6306], [4467, 11368], [1656, 1691], [720, 4221], [6788, 10106], [5950, 9007], [293, 2656], [7603, 9501], [6791, 7371], [5992, 6200], [655, 2291], [1090, 2219], [3204, 8026], [2027, 7461], [1218, 4848], [6825, 9584], [5510, 9085], [2965, 11393], [7383, 7633], [2051, 11238], [10012, 10688], [339, 4879], [1994, 2036], [2763, 7502], [3375, 5814], [8436, 9825], [301, 1362], [2446, 8734], [7432, 10908], [5062, 10773], [919, 10042], [2569, 11019], [8104, 9271], [7297, 8239], [6421, 10820], [5834, 7088], [2501, 5408], [8447, 9610], [572, 2764], [3899, 11045], [9074, 9708], [8090, 8814], [6135, 7201], [684, 726], [5208, 10948], [2767, 6466], [6703, 10102], [6168, 6560], [499, 5110], [1629, 5829], [4702, 9275], [342, 10007], [1485, 5326], [2677, 6923], [1517, 7493], [954, 9073], [3965, 5225], [1817, 10387], [6767, 10652], [2567, 9387], [1094, 1132], [2804, 8576], [794, 840], [3120, 6338], [8197, 8630], [876, 3124], [2118, 8248], [4306, 8120], [13, 3658], [2310, 4254], [7967, 9107], [879, 10188], [24, 7230], [1304, 9428], [3182, 7566], [2272, 4901], [6062, 7988], [1788, 2078], [6407, 9154], [5624, 7762], [8612, 10161], [2943, 4547], [6709, 9492], [272, 7682], [5740, 8876], [1392, 5461], [1758, 9002], [1689, 11117], [7945, 9883], [2845, 10805], [1508, 8827], [947, 10480], [2723, 5712], [3626, 4954], [3003, 7981], [7232, 7732], [2103, 10168], [4061, 11298], [2438, 5728], [4748, 11447], [1350, 8618], [10816, 10916], [7874, 8138], [730, 2494], [405, 2734], [6110, 11011], [2502, 6652], [1165, 2422], [1024, 8633], [3080, 6134], [2651, 10158], [2055, 9346], [10052, 10705], [6198, 7825], [1344, 7268], [7994, 10125], [5033, 10303], [8095, 10931], [1022, 4773], [1831, 4353], [5786, 5787], [5691, 8933], [1945, 11056], [1417, 2269], [236, 4968], [10137, 10604], [7950, 9422], [2263, 6612], [3620, 5832], [814, 3669], [1135, 5939], [7231, 7456], [1966, 5867], [5615, 10227], [3003, 4143], [340, 1534], [7101, 11547], [8255, 10408], [4831, 9364], [8721, 9649], [8163, 10819], [7931, 11250], [2456, 2469], [5126, 5525], [2450, 8316], [2059, 8660], [6904, 11383], [6465, 10555], [4597, 9318], [1287, 2172], [4340, 11382], [4288, 4776], [7390, 10495], [1757, 4538], [7582, 10665], [7926, 10475], [3408, 4205], [1407, 6411], [3905, 5011], [9280, 10178], [687, 837], [5834, 10284], [129, 2007], [9339, 10758], [4640, 7860], [2491, 7916], [635, 10446], [5907, 8318], [442, 10805], [7073, 8694], [4978, 11238], [9527, 10405], [2767, 9662], [5002, 9380], [9150, 10455], [839, 10626], [4793, 9206], [3878, 5443], [7463, 8098], [1572, 7767], [5689, 7277], [4443, 11079], [2664, 5750], [3190, 5042], [951, 7834], [6859, 10054], [2346, 3374], [176, 4805], [4193, 7117], [1287, 11166], [3876, 4966], [1003, 4991], [2336, 6069], [2461, 11433], [9847, 10918], [2225, 2266], [4520, 6199], [628, 9251], [1927, 5083], [7159, 10696], [1754, 6818], [4858, 6194], [6, 48], [3139, 7332], [8443, 8849], [3822, 5110], [3768, 8257], [9143, 9260], [8184, 10086], [6651, 8196], [8311, 9861], [765, 1793], [5045, 5239], [1769, 4093], [2577, 8733], [146, 5693], [8394, 10835], [6465, 8945], [1299, 10745], [2192, 5135], [5368, 6831], [7300, 8992], [4179, 4751], [576, 1490], [3810, 7328], [4873, 6071], [3587, 10474], [3098, 8031], [2466, 10972], [5083, 10984], [2872, 5998], [3646, 11054], [282, 1393], [2403, 10623], [6570, 9496], [2772, 5013], [315, 7168], [7871, 11036], [1278, 3051], [1517, 8729], [994, 3292], [2014, 3119], [2855, 10151], [3512, 8960], [124, 6819], [5535, 8233], [4356, 6841], [493, 8379], [3067, 5311], [4968, 5153], [1472, 1789], [3498, 7749], [330, 10078], [483, 11074], [5304, 10737], [2229, 7595], [4126, 4285], [1693, 4582], [4798, 9818], [2346, 5147], [2189, 11579], [5582, 7648], [10463, 11526], [3307, 4367], [442, 11423], [5005, 10296], [1813, 8067], [3205, 10506], [60, 1707], [7382, 10821], [4174, 7335], [5529, 5728], [3481, 6590], [4716, 10543], [2319, 6333], [3912, 9028], [913, 5716], [3371, 11333], [8942, 9996], [320, 8585], [2069, 8787], [8170, 10648], [2816, 4106], [1472, 4367], [2755, 6082], [876, 3555], [5516, 11508], [8597, 9934], [1555, 3089], [4580, 4589], [5263, 8029], [4332, 10903], [3979, 9095], [7624, 9549], [833, 7241], [3510, 7304], [9579, 9627], [9137, 9282], [6461, 9821], [2481, 5856], [3253, 8587], [5123, 7618], [4650, 4954], [1286, 10377], [7762, 11361], [3378, 7535], [9257, 10515], [7079, 7921], [6588, 8061], [6984, 8815], [9509, 11490], [1593, 8807], [4891, 11432], [4805, 5996], [701, 10855], [3373, 4158], [3151, 5277], [3839, 9815], [7975, 9375], [881, 3094], [2247, 6564], [1593, 5774], [4355, 7638], [5998, 6690], [1742, 7745], [6152, 10540], [3769, 4508], [2420, 5179], [3421, 7208], [2710, 8136], [1512, 1806], [2547, 9835], [6339, 9585], [362, 3818], [6494, 7244], [1726, 4209], [4659, 8399], [5891, 8671], [3874, 11098], [4927, 9153], [4748, 7690], [4147, 5780], [260, 6924], [320, 6975], [4989, 6998], [2862, 10785], [263, 9824], [6316, 8261], [7157, 8877], [4330, 5083], [3327, 6391], [6255, 10237], [8713, 9438], [1299, 2987], [6911, 8821], [8592, 11363], [1051, 3639], [1458, 1519], [1138, 5513], [3569, 9307], [1946, 10907], [3314, 8034], [2290, 8465], [4416, 10869], [4750, 9991], [8586, 10013], [319, 6349], [365, 6694], [2188, 7407], [1109, 7377], [9033, 9951], [5177, 6244], [4394, 9016], [6758, 10834], [416, 6632], [99, 10897], [5333, 6757], [3311, 8086], [3891, 4231], [7065, 11516], [7412, 8591], [2276, 9856], [4332, 11521], [2343, 4662], [1247, 9189], [3169, 4246], [2804, 3559], [2449, 11504], [6525, 11013], [1081, 7207], [2744, 8389], [303, 4661], [2851, 9040], [2519, 3575], [5132, 9103], [5465, 8000], [3161, 6987], [5062, 6829], [795, 8506], [55, 7942], [4930, 7841], [8161, 9998], [8109, 9808], [730, 3543], [7858, 9408], [102, 3974], [3651, 10382], [191, 9681], [1975, 8938], [227, 2922], [1591, 5565], [7157, 10300], [4734, 4869], [2984, 10858], [2999, 5474], [4924, 10628], [8599, 9039], [65, 1059], [8437, 8711], [150, 9276], [1855, 3544], [6689, 8330], [2422, 5843], [2570, 5741], [5780, 8519], [3848, 7112], [3005, 5669], [2258, 3934], [5272, 7554], [1536, 3949], [1730, 4946], [4118, 7912], [2561, 4874], [448, 6839], [1483, 10704], [9575, 9671], [444, 2933], [1202, 8210], [3838, 8272], [3186, 4145], [352, 10514], [4951, 11296], [4268, 7856], [4428, 9269], [6637, 7766], [1816, 3939], [219, 3754], [4608, 7924], [64, 6849], [781, 5709], [2004, 6619], [130, 4436], [1434, 4022], [1559, 9386], [5937, 9233], [560, 6649], [8335, 9881], [4779, 6466], [2863, 8945], [6839, 10502], [1739, 5008], [858, 7245], [641, 3046], [7043, 8053], [5494, 5630], [4437, 9331], [2874, 8730], [422, 649], [5766, 6503], [3183, 10239], [4055, 6004], [7881, 8748], [200, 5151], [5487, 11225], [5564, 5995], [3612, 8817], [584, 1357], [4139, 10963], [2732, 5240], [8332, 9559], [517, 9180], [4531, 7811], [6494, 9285], [8108, 9851], [4448, 6056], [1540, 9278], [667, 9878], [2754, 6692], [696, 8364], [859, 10048], [3125, 8325], [6203, 9486], [6860, 7541], [8606, 10478], [447, 11043], [4824, 5030], [2246, 10608], [4051, 4326], [7600, 11488], [2777, 3828], [5244, 7279], [2001, 8525], [6013, 6329], [223, 6050], [5604, 11005], [4613, 7412], [2517, 6348], [4046, 10748], [6852, 7249], [1281, 2170], [6260, 9589], [1967, 5127], [5940, 7921], [248, 11183], [1924, 2047], [1607, 6312], [8961, 11177], [2017, 8627], [5253, 10374], [797, 4228], [4532, 7608], [1228, 6666], [4867, 10338], [1820, 4326], [1078, 10105], [3382, 5456], [1500, 2658], [98, 9330], [6431, 10760], [2780, 10491], [2150, 3679], [2191, 3680], [197, 641], [8756, 10371], [4112, 4928], [2902, 8387], [4581, 10102], [1551, 5979], [3613, 10842], [6593, 11468], [1950, 2463], [957, 8623], [5840, 9918], [3968, 7808], [4914, 6720], [2886, 9732], [5152, 8763], [1272, 6914], [4474, 9831], [2359, 10969], [1363, 6278], [6151, 10719], [3324, 6925], [1077, 6446], [1815, 9593], [5094, 8758], [5051, 5678], [2124, 11102], [2664, 8572], [4183, 5868], [4518, 7844], [7697, 9811], [2582, 8947], [1878, 4630], [6640, 7096], [1189, 7037], [8680, 10510], [3482, 3727], [4576, 8953], [4229, 8091], [4568, 8311], [4850, 11407], [1118, 5292], [4509, 4698], [3881, 5129], [3410, 8927], [10354, 11477], [5435, 11279], [6243, 9503], [4595, 10484], [5514, 6095], [1286, 9198], [4767, 5114], [4612, 7455], [2626, 5031], [2316, 10467], [2595, 3466], [1251, 3727], [2380, 11391], [2750, 10170], [214, 8834], [5040, 9595], [1926, 6525], [6662, 8524], [5413, 5639], [3824, 6069], [3113, 11161], [1036, 8619], [4267, 10022], [587, 4851], [5814, 10120], [642, 4558], [2670, 10591], [836, 5555], [239, 7551], [3454, 10673], [7052, 7174], [3509, 11511], [3220, 7244], [2817, 10237], [691, 1417], [3262, 10853], [4193, 7979], [2388, 7845], [103, 10292], [2751, 5453], [9442, 10563], [1727, 5884], [4557, 6943], [787, 10924], [4896, 6409], [100, 9994], [156, 11057], [686, 1423], [11244, 11530], [8097, 9074], [248, 1197], [1237, 1711], [3022, 10992], [5321, 5999], [4610, 6173], [4471, 9801], [1706, 6885], [4694, 11536], [3085, 8308], [6720, 8074], [1259, 3163], [3911, 11275], [3593, 6270], [4816, 7180], [1519, 7409], [3411, 10171], [4058, 7538], [1503, 9158], [1420, 6649], [8299, 9558], [1535, 4909], [3188, 5403], [2756, 5746], [352, 10945], [135, 5992], [4204, 4330], [3022, 3421], [5945, 6923], [4140, 6789], [4578, 10398], [1278, 6946], [1532, 7994], [8684, 11247], [4174, 9002], [5041, 10839], [5072, 10152], [1218, 3108], [1989, 2985], [2853, 5305], [1146, 1542], [4822, 9977], [115, 802], [6529, 7324], [1654, 5890], [5596, 9371], [1835, 2518], [145, 8558], [3970, 4284], [5814, 8510], [1046, 7727], [2541, 6881], [4354, 4624], [1888, 11197], [8662, 9394], [6060, 11168], [1917, 3267], [368, 7260], [4023, 4295], [5652, 6647], [167, 2840], [544, 3544], [3276, 3314], [7792, 9511], [3098, 11121], [880, 8374], [8039, 9388], [6731, 10060], [8317, 8578], [3181, 9843], [2589, 5767], [1756, 9176], [856, 7199], [1314, 2415], [2530, 8570], [5075, 7016], [9407, 10652], [8321, 9451], [9959, 11165], [5071, 9526], [1624, 6778], [4074, 7616], [279, 1152], [36, 7810], [3795, 5168], [2850, 9864], [6346, 6812], [2550, 10326], [3663, 8432], [2412, 9638], [9571, 10652], [5094, 10799], [1606, 11460], [3158, 11148], [9414, 10668], [6855, 7628], [5898, 9281], [2257, 3284], [2418, 10557], [7788, 11216], [6041, 8054], [3021, 11035], [4461, 10482], [2215, 6441], [7526, 9903], [5948, 8994], [3511, 7637], [1778, 3407], [9900, 10130], [86, 6368], [2897, 9629], [9822, 10247], [5469, 5734], [3160, 3623], [2974, 5153], [7645, 8255], [3753, 10553], [6060, 6175], [3265, 10964], [2286, 10414], [8141, 8836], [8760, 10571], [3414, 8054], [2166, 8777], [5361, 10523], [1720, 10942], [6978, 11360], [4087, 10779], [3053, 5604], [5792, 6545], [821, 10321], [8670, 11028], [9243, 10166], [1249, 8324], [2990, 10917], [3525, 8043], [4679, 11068], [68, 2355], [3495, 3670], [5795, 7947], [492, 10038], [8814, 11157], [24, 1302], [4082, 10031], [1737, 8263], [2546, 4460], [4949, 5452], [7148, 9677], [8710, 10053], [7244, 9385], [3918, 8876], [3665, 10682], [9358, 11028], [8114, 9241], [4404, 4605], [1885, 5882], [4411, 9159], [1849, 9608], [1816, 7216], [2530, 5805], [5300, 9065], [6239, 10216], [2349, 7679], [2497, 3413], [6393, 7650], [779, 5907], [2341, 6283], [8220, 9263], [9508, 11322], [1344, 4373], [307, 435], [1558, 9028], [9362, 10746], [5250, 9328], [361, 3300], [4660, 10960], [3325, 7557], [395, 2884], [9613, 11496], [212, 3177], [2144, 3086], [3510, 6556], [1521, 3861], [5564, 7394], [7399, 9622], [83, 4460], [831, 9049], [2717, 7859], [456, 6920], [3040, 6792], [700, 3116], [9853, 11333], [6230, 11577], [7593, 9114], [191, 4932], [10681, 10963], [7515, 7703], [5182, 7450], [1999, 2331], [1029, 5277], [2214, 4205], [2253, 9795], [3497, 5166], [3149, 10118], [5976, 7496], [1375, 9297], [9771, 10927], [5206, 8975], [2028, 10616], [1595, 10734], [2294, 8291], [403, 9137], [6726, 9879], [5358, 5582], [1961, 6361], [8616, 9562], [1305, 11160], [4096, 8127], [4505, 6834], [671, 6858], [8802, 11415], [640, 5293], [9363, 9762], [4895, 7019], [540, 8095], [4034, 10632], [9206, 9778], [607, 9317], [4130, 11094], [2872, 11129], [3692, 10868], [4556, 6772], [450, 8552], [4646, 6665], [3123, 4709], [4148, 5634], [2842, 2969], [375, 2901], [3427, 9257], [6290, 6292], [3946, 7378], [1212, 4529], [804, 2260], [803, 9205], [2016, 5263], [5536, 6769], [4600, 9299], [732, 10493], [1076, 3887], [8610, 10440], [2297, 4724], [862, 3369], [7956, 8869], [5303, 6948], [5246, 10578], [7318, 8612], [3467, 5249], [9134, 10036], [7169, 8489], [3518, 7466], [6073, 6600], [3953, 7394], [5453, 6892], [2277, 2944], [375, 11545], [5387, 8524], [1901, 4350], [2706, 7938], [4113, 4993], [9827, 10380], [334, 5478], [4410, 4987], [1433, 4632], [6094, 11210], [7024, 11117], [7764, 8675], [585, 6228], [7703, 10651], [3627, 4726], [425, 1809], [951, 7517], [1316, 2542], [8913, 10575], [10038, 10950], [4840, 10583], [6270, 9342], [6638, 8048], [2226, 8590], [756, 4016], [7762, 8198], [73, 4740], [5237, 11158], [6538, 7063], [3081, 10043], [3867, 10952], [32, 7368], [1245, 10596], [1393, 4078], [1272, 6003], [7815, 8209], [220, 4386], [2269, 11296], [4452, 10824], [3069, 5495], [6933, 10975], [1824, 9899], [8486, 10107], [1734, 4721], [3843, 5266], [2793, 6728], [7053, 8798], [3623, 9372], [1572, 10028], [2379, 4644], [2630, 8427], [10059, 11022], [1848, 1975], [1720, 2729], [1775, 2436], [1291, 6753], [9159, 10176], [2177, 10552], [1750, 4823], [750, 9812], [1813, 8555], [3233, 6626], [2181, 11425], [126, 10362], [147, 4823], [2393, 8083], [2758, 6518], [1737, 6466], [7872, 7911], [4094, 4861], [2856, 7026], [6113, 9650], [449, 8544], [4057, 5733], [5985, 8152], [1943, 7473], [6695, 10005], [4026, 9803], [5867, 9594], [3652, 11282], [3872, 7084], [5797, 11484], [2399, 5245], [2409, 5933], [4308, 9866], [7009, 8071], [2346, 4830], [4703, 10395], [8787, 9765], [4078, 10343], [2242, 10896], [3890, 10292], [6794, 9580], [3826, 6335], [5817, 9076], [3007, 9423], [4031, 6740], [209, 4115], [1663, 7432], [1893, 10338], [7935, 10838], [6958, 11115], [10328, 11142], [6180, 10067], [1758, 9921], [6334, 7501], [4522, 6196], [231, 2561], [4219, 6387], [2469, 5960], [6515, 9764], [8564, 10258], [4118, 5554], [6081, 10438], [6633, 10951], [7254, 10103], [3235, 4712], [4704, 9061], [1590, 1827], [6543, 8025], [939, 6970], [3086, 11005], [3308, 3470], [4147, 7423], [1148, 4865], [5450, 9790], [9017, 11142], [4812, 9533], [3009, 5308], [684, 3418], [3910, 4477], [5501, 9755], [7954, 10864], [6493, 10540], [3624, 7274], [2722, 8634], [7489, 9946], [1384, 4179], [7478, 11285], [5613, 6936], [2712, 4913], [79, 4368], [695, 6586], [6582, 10181], [4899, 10976], [164, 3917], [964, 4532], [3229, 9754], [6167, 8626], [2676, 5606], [279, 1396], [1547, 7741], [1798, 5108], [4532, 5705], [7095, 11116], [490, 5780], [298, 2577], [4093, 8260], [958, 4313], [3781, 4201], [4405, 7034], [2349, 3117], [5528, 10746], [3840, 4781], [940, 8618], [3151, 7188], [8968, 9290], [3253, 10848], [7816, 10475], [3433, 9503], [2924, 11346], [1535, 6926], [3985, 7764], [5752, 11578], [1970, 6854], [5891, 8704], [967, 7408], [1828, 9430], [3352, 7070], [5812, 9350], [6008, 7010], [4439, 4709], [4886, 6152], [5161, 8077], [7890, 8330], [51, 7557], [5990, 11342], [5064, 8144], [1640, 6346], [3481, 6891], [6934, 7175], [7610, 9444], [5896, 10926], [5837, 7313], [2126, 2829], [1854, 4585], [945, 2522], [3188, 6265], [657, 5273], [5147, 10249], [4992, 6928], [8937, 9172], [4778, 7908], [1934, 2255], [5646, 11101], [5939, 7216], [1281, 5073], [1897, 7291], [7504, 7863], [4445, 5254], [2363, 2368], [163, 11504], [2869, 3637], [5125, 8396], [1983, 5530], [9713, 9743], [4947, 9787], [3111, 9586], [2925, 11116], [7118, 11210], [4857, 6861], [7780, 10363], [7023, 7940], [4959, 9797], [3219, 3642], [4471, 10208], [8227, 9547], [2444, 11193], [1355, 6311], [9190, 9594], [2292, 7389], [4842, 5425], [6821, 7432], [7949, 11488], [5480, 5712], [4862, 6831], [158, 3589], [1386, 4843], [1319, 3621], [6109, 8135], [7788, 9850], [5546, 8961], [3775, 8411], [3095, 8652], [7878, 9743], [1061, 8466], [2339, 9083], [4703, 9403], [6871, 7145], [25, 966], [3796, 6255], [7438, 8690], [776, 9236], [8742, 9030], [6629, 10995], [9588, 9990], [4827, 10378], [7442, 9563], [4600, 4737], [899, 5105], [4319, 8659], [1759, 9935], [6285, 10404], [1486, 7302], [5751, 9716], [2136, 9104], [3667, 3751], [3851, 10476], [305, 3585], [6048, 6704], [110, 6527], [1543, 4803], [1500, 8139], [4115, 7324], [10100, 11454], [3906, 7150], [1932, 7769], [6918, 9943], [4299, 6852], [7038, 7793], [6203, 11129], [1521, 9366], [10146, 11048], [4602, 10044], [932, 8971], [2618, 7693], [2210, 10342], [1489, 10582], [4911, 10799], [1148, 3873], [3381, 6174], [559, 3478], [6464, 7679], [5662, 6237], [8170, 11217], [1950, 7944], [4624, 8490], [5961, 7058], [556, 9596], [6936, 10118], [4758, 5272], [2820, 5548], [361, 6122], [9576, 11053], [6431, 8670], [868, 7616], [2513, 4085], [4844, 9927], [44, 4725], [5465, 6073], [3653, 4768], [7424, 10057], [8071, 8178], [7823, 8076], [9218, 10032], [2721, 8171], [4618, 11277], [1199, 3407], [1159, 10424], [7969, 10530], [1651, 4470], [6795, 10236], [1279, 9028], [1212, 7806], [1802, 4639], [6719, 11180], [4179, 10826], [4384, 7848], [3864, 9502], [7508, 9354], [1531, 2833], [3327, 5887], [6035, 7515], [8156, 9575], [6747, 10195], [10322, 11408], [1047, 5645], [455, 1569], [2700, 6139], [637, 7467], [2722, 3454], [7016, 10770], [6868, 8620], [9237, 10782], [3812, 4774], [8982, 9509], [1793, 10538], [7877, 10540], [1915, 5051], [9879, 11188], [5581, 6382], [4980, 5226], [2399, 4871], [1375, 4548], [3147, 9460], [1676, 8448], [5822, 8696], [9378, 9859], [8308, 9945], [6658, 6716], [5476, 5807], [9581, 10218], [9646, 11367], [3448, 9573], [6280, 6541], [7066, 7450], [6992, 9221], [5154, 6695], [1795, 6046], [3964, 5144], [6902, 9678], [2673, 3511], [80, 5805], [787, 3223], [7863, 8898], [10073, 10249], [5956, 8487], [135, 8895], [1009, 5487], [639, 6708], [11119, 11297], [3117, 3178], [7801, 11403], [1729, 8028], [4774, 10961], [7159, 7240], [8290, 10813], [97, 3126], [6788, 8236], [3080, 6679], [7757, 11481], [245, 2243], [1709, 7002], [8333, 10136], [4454, 11141], [4442, 9626], [6097, 6783], [21, 6672], [4754, 8400], [2724, 5704], [6643, 7481], [6302, 7188], [445, 5687], [6114, 7137], [8545, 8679], [4159, 10442], [7387, 8164], [3469, 9995], [5243, 8564], [5234, 10730], [1354, 2465], [1004, 10754], [1011, 1345], [2439, 5693], [6201, 6732], [36, 7330], [779, 11575], [1878, 10729], [1754, 2557], [7282, 10218], [3488, 8143], [8751, 8905], [5224, 6228], [1256, 7942], [6996, 8134], [1638, 4102], [844, 2521], [242, 4173], [2614, 10770], [723, 4446], [4797, 7292], [334, 7145], [423, 10600], [7282, 10568], [1116, 1896], [2476, 7049], [4031, 4756], [7578, 10337], [5393, 10736], [4188, 8123], [327, 10488], [692, 4759], [4902, 7466], [1318, 7665], [100, 683], [6115, 7688], [2632, 8693], [1254, 3708], [8012, 10794], [7692, 11378], [1902, 4683], [4928, 5654], [6209, 9952], [1560, 4919], [2895, 6070], [4237, 4982], [71, 2547], [4450, 6029], [7870, 10337], [4955, 10860], [2457, 5844], [590, 11248], [6158, 6230], [4552, 9689], [1204, 6223], [11236, 11376], [1804, 4498], [2227, 6321], [6714, 7616], [6712, 10953], [7873, 10985], [5008, 10871], [1239, 5628], [272, 2429], [1395, 6141], [1130, 10596], [6281, 11117], [4185, 10053], [8414, 9804], [6239, 10891], [3930, 8780], [1008, 6634], [1120, 6875], [8449, 9990], [5233, 11147], [5171, 8017], [1215, 9364], [6951, 10538], [1559, 6922], [683, 9503], [2087, 9293], [4926, 8186], [750, 5063], [6696, 9265], [9433, 10133], [6938, 8798], [2763, 9283], [7251, 10426], [10668, 11053], [1272, 3832], [5773, 8243], [6999, 9424], [7307, 7325], [77, 1183], [1078, 6218], [734, 6408], [5154, 9891], [8956, 10329], [5365, 10111], [4317, 5984], [136, 8179], [800, 8159], [1753, 9016], [4153, 10491], [6641, 8403], [7365, 7680], [2907, 7877], [6011, 8007], [8419, 9343], [3710, 9921], [3720, 4947], [798, 10715], [2782, 10814], [8977, 11556], [8853, 9800], [3371, 7422], [2645, 7318], [501, 2800], [2703, 10706], [4136, 8982], [872, 5187], [8217, 8835], [2515, 11409], [2214, 8263], [3327, 7123], [5505, 9717], [2050, 2190], [33, 11033], [592, 6301], [5822, 11087], [1669, 3252], [8127, 9292], [5870, 7371], [5276, 7386], [5439, 8316], [552, 10285], [795, 3627], [7642, 8496], [827, 1630], [4999, 8017], [9701, 10432], [9510, 10864], [8794, 11448], [105, 1645], [6087, 6258], [36, 3760], [569, 10639], [194, 11516], [2102, 6113], [9283, 10858], [2628, 6159], [2086, 7862], [7664, 7696], [3216, 8581], [95, 4340], [2376, 4403], [753, 10167], [8592, 10940], [249, 1774], [5147, 8265], [7292, 11473], [5570, 6678], [6910, 8173], [2653, 10538], [3851, 5564], [6171, 11217], [1720, 6169], [7038, 10802], [6410, 7069], [2337, 5579], [1055, 6718], [1746, 10773], [376, 10567], [5820, 7203], [3103, 9993], [54, 8072], [2454, 3131], [730, 3925], [3224, 11451], [704, 6087], [1634, 10158], [101, 8268], [1852, 11549], [1840, 10034], [4204, 5436], [6721, 8250], [5482, 6053], [7379, 9159], [1004, 6729], [4555, 9800], [5852, 8969], [4389, 7818], [1894, 7237], [3270, 11395], [6071, 6798], [2513, 2556], [3693, 6802], [3225, 5236], [2705, 2726], [8059, 9268], [52, 805], [8238, 11485], [1949, 10327], [3048, 9481], [8676, 8678], [3232, 5626], [1539, 5733], [2514, 8793], [1409, 9824], [2126, 2268], [2721, 10025], [1719, 7771], [7983, 10562], [3845, 10175], [5012, 10052], [8382, 8581], [4120, 5684], [808, 4881], [1778, 8351], [6260, 8548], [9384, 10054], [284, 5635], [11113, 11132], [869, 2124], [4707, 8635], [8217, 9453], [130, 11584], [8709, 9915], [4445, 11109], [5349, 9041], [8580, 10444], [2642, 3851], [5618, 11151], [2103, 3573], [4071, 5391], [9733, 9834], [3164, 6407], [1366, 3280], [7866, 8822], [3279, 10329], [1269, 9763], [5773, 11439], [8667, 10039], [1161, 11169], [4746, 5156], [2781, 2855], [230, 11010], [2405, 3507], [5426, 8298], [4201, 6561], [118, 3629], [6139, 9668], [3954, 9313], [8064, 8406], [2455, 6253], [3580, 4376], [2580, 5201], [811, 11140], [6380, 9730], [4317, 11058], [8114, 11152], [5218, 9473], [741, 9620], [5500, 8405], [7176, 10603], [3320, 9148], [2110, 10355], [9897, 10938], [4226, 7907], [2106, 6449], [6767, 8863], [1849, 5103], [6086, 8879], [6218, 11250], [6961, 9079], [3934, 10889], [6353, 10162], [6733, 10383], [3335, 3390], [597, 5303], [4149, 9730], [5613, 9571], [11050, 11452], [586, 4390], [2987, 9473], [4513, 10192], [4262, 6409], [5263, 9192], [3174, 11551], [1777, 6516], [932, 1994], [493, 1166], [6351, 9685], [2733, 5392], [4033, 10494], [2923, 4735], [891, 5376], [5932, 7257], [8332, 9486], [6408, 7186], [9290, 10687], [388, 591], [549, 5612], [3441, 9801], [3575, 5829], [6493, 8987], [4303, 9042], [7888, 10943], [4053, 8113], [7785, 7812], [1663, 5074], [7444, 7519], [9078, 10215], [2311, 6049], [8575, 8840], [5705, 11388], [8353, 10713], [411, 8307], [5213, 8674], [1617, 8112], [6551, 10096], [5985, 11405], [220, 8712], [6259, 9695], [7907, 9091], [2298, 7692], [6188, 10983], [10269, 10836], [5314, 7975], [6936, 8402], [7159, 8639], [3444, 5911], [4293, 10552], [4537, 10912], [6244, 8259], [237, 6033], [3227, 4341], [9732, 10981], [5216, 10419], [4068, 8340], [546, 3755], [293, 4063], [224, 8430], [2774, 6466], [7259, 11098], [3499, 9351], [2004, 3781], [1284, 11039], [725, 2939], [3705, 6975], [2218, 7682], [1967, 3899], [1375, 3987], [3613, 7386], [905, 1594], [6691, 8547], [2673, 9016], [2334, 2380], [1093, 10690], [1714, 7590], [124, 4412], [898, 10222], [4017, 11384], [8206, 8326], [10231, 10678], [3887, 9059], [5026, 6888], [6249, 7798], [9764, 11212], [2293, 9145], [1959, 10023], [951, 10233], [3320, 6733], [5837, 8793], [6546, 7792], [6709, 9476], [3029, 3551], [5432, 10959], [1485, 7888], [2849, 8279], [1202, 10983], [168, 10726], [455, 10002], [2315, 7591], [4591, 7310], [4421, 5209], [8593, 10842], [2409, 7226], [3186, 10301], [1003, 4357], [402, 9617], [10644, 11382], [5322, 7007], [2925, 9213], [4633, 9414], [1374, 5963], [428, 1389], [3509, 5477], [2830, 9326], [3544, 7915], [4105, 6262], [3227, 5764], [4813, 11452], [5739, 8234], [5993, 11534], [1860, 2823], [6670, 8743], [6148, 10324], [2473, 4743], [3942, 4928], [9031, 10263], [1567, 9367], [3210, 4255], [4113, 5749], [601, 9022], [3053, 6523], [7329, 10227], [6985, 10417], [5149, 10970], [1180, 4942], [121, 2154], [6576, 8677], [2058, 2407], [721, 3839], [4599, 9779], [1151, 3423], [3484, 3676], [5698, 8933], [2892, 6016], [6596, 10083], [4483, 5632], [990, 8201], [5415, 5612], [4971, 8604], [954, 9675], [2542, 4856], [9233, 9966], [7863, 9760], [3353, 7515], [6080, 6941], [6613, 7404], [5780, 6649], [6669, 10719], [2156, 8203], [106, 8238], [2840, 4671], [7258, 7327], [7418, 9494], [6568, 6880], [2739, 7248], [1526, 4774], [2279, 9707], [596, 4840], [3679, 5591], [3335, 5781], [4326, 9374], [2638, 10579], [6725, 11378], [4129, 5827], [796, 4147], [592, 10733], [709, 11318], [269, 5384], [6373, 6762], [10915, 11174], [10631, 11415], [6622, 7466], [4466, 6351], [1828, 5462], [507, 1011], [1852, 10020], [3106, 6079], [670, 2695], [3443, 9636], [9035, 9176], [5437, 5505], [7235, 9386], [4587, 7809], [5079, 7517], [2012, 4236], [2163, 10821], [4496, 11074], [9538, 10147], [5178, 10879], [4269, 8816], [9649, 10917], [3326, 3759], [3761, 10103], [4296, 7229], [1686, 1972], [3417, 3877], [4628, 9688], [2018, 4431], [11021, 11169], [8680, 11055], [4980, 7861], [4978, 7034], [3323, 3461], [10580, 11426], [5074, 6742], [2361, 4770], [308, 370], [3976, 4780], [648, 7608], [1668, 9687], [3326, 10525], [8800, 9255], [4839, 10258], [302, 3184], [1479, 3749], [2282, 8045], [726, 10867], [5584, 8133], [7944, 10209], [855, 10688], [3525, 9580], [404, 6093], [567, 7023], [2681, 8666], [5542, 11290], [4021, 10915], [2741, 6465], [9308, 9819], [7899, 9685], [1736, 6946], [4972, 8693], [6477, 9289], [529, 7670], [5078, 9843], [2637, 5361], [3975, 10166], [3037, 9617], [2383, 4663], [7608, 9105], [1269, 8584], [5123, 9212], [2253, 2338], [1915, 5726], [301, 5160], [5046, 9931], [1539, 7132], [10119, 10569], [663, 3297], [4831, 5778], [3699, 4232], [5474, 5655], [341, 4185], [7966, 10102], [7274, 8828], [4760, 10449], [2827, 11069], [3223, 4653], [7333, 9408], [3040, 4946], [8637, 9748], [4292, 5096], [6398, 8376], [2702, 9088], [2141, 10741], [4650, 8776], [2281, 9997], [1099, 2672], [4897, 5620], [4111, 5465], [4439, 4742], [10528, 11504], [2936, 11362], [284, 5879], [688, 3488], [7103, 7202], [1890, 5803], [1750, 9930], [5475, 8458], [339, 6717], [2011, 7261], [2551, 4731], [4693, 7668], [6152, 11329], [1450, 2498], [140, 8759], [119, 7882], [7273, 8552], [9363, 11299], [3260, 6359], [794, 6516], [6575, 6709], [6826, 10492], [5150, 6042], [8756, 9574], [1321, 7164], [9160, 10566], [2813, 6020], [4113, 10368], [1059, 8103], [6850, 8984], [690, 3510], [1560, 9782], [9216, 10848], [687, 3212], [2705, 4393], [179, 10915], [5812, 10456], [2639, 6025], [857, 10978], [7235, 11427], [1793, 2032], [79, 3514], [8069, 8620], [4125, 11482], [4495, 10261], [5716, 10344], [3304, 5102], [883, 2750], [6739, 10442], [951, 6826], [2940, 3105], [9872, 11310], [3961, 6540], [807, 7077], [5944, 9420], [2714, 10871], [2523, 4887], [4398, 6514], [1181, 2565], [1841, 10717], [2237, 4301], [1311, 7519], [370, 9705], [1057, 9854], [4037, 7474], [6679, 9236], [1547, 10620], [5618, 9785], [5628, 10473], [6806, 7476], [6641, 9883], [4996, 6998], [789, 10978], [1408, 4045], [2244, 4317], [7572, 10392], [1593, 3798], [3874, 10277], [223, 9254], [2057, 7874], [3213, 7562], [3268, 8023], [6239, 8533], [2932, 8074], [5265, 8327], [4324, 10513], [4833, 5664], [3644, 10000], [2128, 9969], [6567, 7840], [5753, 11299], [1898, 10446], [4487, 8410], [8735, 8965], [1054, 9532], [4011, 5448], [2925, 11417], [6492, 8605], [1571, 10990], [3344, 5924], [7089, 9992], [1542, 9471], [3872, 6043], [6963, 11573], [1139, 1884], [4836, 11196], [9003, 10069], [2819, 6453], [4806, 6069], [8629, 11548], [2872, 3835], [879, 3650], [1068, 6555], [466, 8207], [6720, 10310], [9397, 10373], [5584, 6336], [3423, 10539], [131, 8860], [5202, 6419], [5666, 11249], [3882, 5576], [1495, 8470], [1676, 5098], [6958, 10074], [86, 1920], [2887, 4493], [3353, 5986], [4075, 8600], [5759, 10659], [5470, 10556], [152, 3671], [3916, 7789], [7268, 8021], [2696, 4144], [2694, 3317], [7026, 11117], [10717, 10815], [9513, 11056], [8331, 10147], [5337, 7933], [3964, 8210], [3783, 5166], [667, 2023], [507, 4020], [3991, 5869], [5326, 7774], [6487, 7806], [4897, 11044], [661, 7870], [2376, 11494], [2025, 10513], [1746, 11098], [817, 1967], [3611, 9785], [8619, 9274], [8722, 10153], [1967, 9754], [59, 2325], [4259, 6973], [768, 3953], [372, 3953], [5188, 7436], [4143, 9242], [1459, 5756], [2334, 5202], [2537, 5561], [2131, 4873], [3011, 4663], [10201, 11406], [9394, 9620], [8391, 10928], [8764, 9224], [1254, 7229], [323, 3687], [584, 8912], [2497, 5381], [4188, 8611], [7, 5144], [4864, 5218], [7893, 9116], [4863, 4993], [1103, 10416], [6382, 8705], [1246, 3554], [6939, 10316], [3899, 8858], [5565, 6204], [5043, 7031], [2708, 10115], [1588, 3668], [2448, 2836], [4130, 10484], [5470, 5563], [2269, 10418], [8399, 10765], [2733, 8832], [548, 2061], [6585, 8633], [5243, 10475], [1136, 5237], [5093, 6744], [2326, 3755], [757, 6372], [1641, 3652], [3492, 9823], [3662, 8514], [2943, 3165], [1138, 8693], [6984, 10035], [2588, 4694], [3312, 3971], [196, 7244], [1933, 5931], [1556, 3729], [1489, 2507], [6703, 6760], [10860, 11361], [10402, 10483], [5760, 5867], [120, 5155], [490, 3934], [2091, 10654], [7430, 9748], [1978, 5300], [424, 8949], [7898, 9035], [1262, 3632], [4195, 7822], [5165, 11292], [7806, 9446], [1672, 5193], [6085, 9757], [4785, 8038], [5714, 8501], [6242, 10872], [2870, 10018], [1973, 5306], [3905, 7467], [2372, 4823], [1040, 7353], [3306, 6384], [4711, 9028], [4140, 9993], [2842, 4937], [903, 8021], [3712, 10455], [6663, 9589], [6764, 10395], [2154, 10198], [879, 6846], [2059, 6928], [2671, 5994], [3646, 9054], [7743, 9440], [2392, 6579], [2617, 9141], [2087, 5943], [1113, 5737], [1739, 8643], [3845, 5507], [3237, 8068], [4823, 6586], [859, 8072], [1762, 9566], [2194, 9223], [4821, 9923], [554, 1020], [4525, 8649], [6868, 10344], [4094, 9594], [1162, 2596], [8047, 10201], [199, 5932], [3466, 9244], [1004, 11055], [1101, 7955], [5614, 7465], [507, 7216], [314, 7575], [3053, 4352], [5074, 9214], [8131, 9498], [8344, 10545], [2052, 9116], [6868, 9189], [4380, 4861], [1369, 5676], [5133, 9794], [152, 5712], [2731, 5240], [7364, 9770], [5848, 9739], [5779, 7690], [1799, 8643], [6408, 7861], [4317, 7895], [3821, 9943], [5113, 8768], [295, 2206], [324, 7108], [909, 10013], [6208, 10432], [167, 8622], [1039, 2889], [4650, 10175], [3585, 10605], [5887, 10791], [97, 4850], [3493, 11016], [7003, 7670], [3616, 9137], [6942, 7394], [2900, 6715], [7155, 8441], [6287, 8631], [3704, 8203], [490, 7935], [1859, 2254], [984, 7689], [5846, 8107], [1297, 6688], [5751, 11253], [2764, 3794], [3158, 7131], [2106, 5514], [5390, 6551], [4242, 10888], [5395, 6895], [479, 3208], [3875, 9374], [2034, 9583], [2908, 10339], [1232, 8141], [5349, 6146], [215, 1822], [10113, 10193], [3053, 9158], [4817, 7039], [1401, 9266], [1580, 5067], [2147, 6612], [717, 6355], [1322, 3496], [5103, 9473], [8212, 9947], [922, 6006], [3265, 6947], [2826, 10283], [5339, 9191], [10029, 10091], [506, 1597], [517, 5139], [1035, 6822], [2819, 6079], [7516, 8150], [8132, 10368], [10434, 11308], [1535, 11309], [6817, 9869], [561, 4687], [6517, 9577], [1271, 6540], [2551, 3820], [1783, 8378], [1907, 3718], [307, 7022], [28, 7607], [10516, 10559], [1839, 2271], [810, 4610], [1625, 10421], [6035, 9052], [274, 8013], [3672, 7836], [3973, 10982], [895, 4159], [215, 10816], [7534, 9079], [244, 2886], [1823, 7403], [3951, 6470], [10100, 11031], [3415, 9873], [1734, 11495], [8055, 11410], [1047, 10565], [419, 10996], [5739, 5876], [1599, 11078], [2509, 7327], [2693, 9888], [2996, 7445], [6588, 10517], [6337, 6734], [5184, 11481], [4095, 6599], [387, 11458], [3940, 8940], [6956, 9223], [9750, 9871], [3246, 11003], [5615, 7503], [5393, 8622], [2406, 3415], [3679, 10104], [3459, 5634], [7692, 9264], [7728, 8921], [5075, 7000], [5352, 5588], [4209, 10269], [718, 7249], [1962, 2620], [4076, 4263], [906, 3513], [2515, 4489], [3261, 8251], [298, 5350], [3262, 4689], [170, 6104], [1732, 6480], [3447, 7852], [8298, 9609], [765, 4412], [2064, 5906], [9159, 9379], [819, 6900], [879, 4699], [2183, 7291], [7888, 8398], [6231, 11168], [6971, 8726], [5135, 9279], [8650, 10441], [4603, 9418], [5038, 9346], [631, 10232], [2086, 10741], [1248, 9642], [685, 10468], [876, 7784], [5606, 5831], [19, 1747], [8618, 8624], [6412, 7392], [2675, 7349], [6627, 11518], [622, 3703], [1214, 1363], [1675, 1758], [706, 8312], [10895, 11197], [5878, 7458], [1921, 5197], [10171, 11166], [7765, 9122], [3818, 6051], [4628, 11518], [428, 3837], [3091, 5722], [1322, 7497], [5282, 9275], [4394, 8089], [4679, 10702], [1038, 11121], [2377, 4100], [695, 7749], [3224, 7914], [2967, 10732], [2786, 7688], [6043, 10312], [317, 8328], [470, 8570], [6170, 10087], [2457, 8186], [592, 3837], [2427, 10229], [2798, 7698], [1996, 7010], [7961, 9010], [5290, 5729], [997, 8437], [1957, 10465], [4913, 9943], [8522, 10740], [2354, 7657], [926, 6692], [3849, 10194], [4361, 4892], [7757, 11058], [4400, 11236], [6239, 10200], [71, 701], [5604, 9460], [1836, 7852], [5482, 11160], [255, 6645], [183, 4325], [3359, 6021], [2920, 9357], [1249, 7503], [2266, 10819], [6481, 6700], [70, 11029], [6381, 9502], [378, 8930], [2334, 8479], [6716, 9226], [3674, 4312], [1771, 3643], [6771, 9687], [3610, 6771], [1277, 6518], [7338, 8980], [4103, 10087], [3048, 11205], [3290, 10738], [6117, 8116], [3068, 5441], [4969, 6037], [7827, 9144], [9172, 10983], [4569, 8547], [6649, 8354], [1606, 5646], [8576, 10171], [109, 5665], [2968, 5210], [1728, 10712], [4555, 7336], [223, 3700], [8130, 8549], [1810, 5826], [1500, 11262], [4800, 11304], [963, 7647], [6, 8546], [531, 820], [5598, 8086], [6816, 9406], [5383, 6966], [1425, 2982], [2580, 11113], [2604, 2839], [1616, 5179], [2397, 5744], [5630, 7974], [5819, 10879], [6024, 7147], [5098, 10365], [335, 7674], [1388, 6483], [4913, 8333], [3385, 6787], [3502, 8126], [8476, 8785], [4830, 11489], [1812, 11133], [6136, 8492], [3832, 6725], [5179, 10145], [3054, 9841], [5106, 10606], [10345, 10974], [10840, 10953], [961, 6015], [1678, 1869], [828, 10589], [800, 8541], [3, 7443], [1426, 5031], [3583, 9754], [1109, 9296], [3043, 5868], [1510, 3224], [6031, 7513], [988, 4805], [6774, 7594], [8114, 9843], [4473, 9508], [4277, 10350], [1737, 5832], [2256, 8117], [8355, 9151], [757, 5811], [5989, 7260], [10, 10492], [354, 3886], [1401, 2126], [131, 5534], [5896, 7446], [7262, 10916], [498, 10431], [3110, 5935], [5164, 6773], [2860, 5006], [465, 1623], [1557, 6022], [502, 11304], [4070, 11346], [5391, 9381], [3516, 6973], [5658, 10664], [2855, 11428], [7862, 8063], [6242, 6928], [5084, 10577], [3062, 6244], [1790, 8825], [453, 3841], [3957, 7096], [4961, 9396], [5828, 8981], [7724, 8479], [74, 10611], [8723, 10435], [8908, 9434], [3529, 10941], [1127, 6387], [1490, 10411], [4549, 11522], [3851, 6296], [1428, 9533], [6320, 9039], [5040, 7595], [998, 6916], [2170, 7137], [6091, 9741], [7622, 8552], [5748, 6369], [4448, 6902], [4498, 6265], [890, 2660], [6609, 7637], [1113, 8559], [5466, 6656], [638, 5068], [4127, 11425], [7761, 10589], [15, 5843], [10438, 10652], [2098, 5921], [8159, 10635], [6180, 8628], [7042, 7869], [2899, 7138], [2620, 7723], [1720, 5746], [5, 2122], [4858, 11122], [3029, 6430], [1224, 2132], [1438, 10197], [9498, 9626], [1903, 11465], [6717, 8459], [2486, 5629], [2200, 11459], [1297, 3549], [2179, 10582], [1307, 4237], [5508, 8356], [5663, 6015], [204, 1177], [5408, 11158], [1260, 3667], [6645, 9522], [107, 1244], [7856, 9671], [77, 2533], [1885, 7102], [8483, 9769], [3197, 7303], [3102, 10449], [7111, 7982], [4561, 7694], [4117, 5768], [2599, 9074], [7673, 7685], [3743, 7247], [6886, 8803], [7818, 9537], [7916, 10072], [4676, 10835], [9184, 10001], [2375, 7087], [8412, 11407], [7412, 11478], [5794, 11170], [2119, 6343], [1644, 2852], [364, 5572], [2237, 9782], [269, 2302], [1392, 6014], [1524, 7631], [9640, 11156], [5385, 10184], [1517, 10624], [844, 7872], [3042, 5456], [5187, 8664], [3820, 5723], [5267, 7869], [1416, 6758], [5616, 8023], [6087, 7608], [2152, 7580], [1880, 2920], [2473, 9850], [357, 1718], [8846, 9955], [5577, 5816], [3305, 6216], [4086, 6781], [786, 1077], [6226, 9645], [4612, 6073], [6513, 6669], [9157, 10756], [9274, 11341], [6949, 9451], [9750, 11270], [3086, 4573], [987, 10408], [4536, 10400], [1857, 9510], [3233, 11416], [3389, 5513], [707, 7735], [3169, 6678], [7072, 7198], [8568, 9206], [851, 3700], [3841, 9178], [4458, 7834], [2957, 10363], [3459, 9261], [9118, 10777], [532, 9023], [7290, 8939], [1648, 11564], [1555, 8367], [5121, 6084], [5969, 7871], [4205, 9990], [327, 10496], [5227, 7234], [4046, 9179], [4970, 5134], [4070, 7321], [3535, 3779], [8543, 10438], [1545, 10281], [6115, 11079], [1478, 9059], [1949, 8644], [1235, 2885], [5746, 8738], [2847, 3378], [2948, 10600], [1997, 4928], [6339, 9252], [3223, 6109], [508, 2556], [9630, 11460], [719, 7694], [1687, 9583], [154, 1277], [5673, 10330], [5112, 7819], [4367, 7665], [1024, 10959], [6041, 8282], [567, 6519], [433, 4075], [687, 11539], [3292, 3620], [9958, 10363], [6724, 8662], [3264, 11371], [1296, 3137], [6963, 8678], [6844, 7266], [2818, 7120], [4786, 8938], [4776, 7496], [5772, 9935], [3597, 4606], [2260, 6038], [3936, 4072], [4338, 7270], [3813, 5170], [487, 4661], [2283, 6961], [4304, 5407], [7638, 10695], [4114, 5283], [5798, 11506], [7257, 11003], [1158, 3553], [8418, 11035], [5015, 10114], [4483, 11007], [3650, 10252], [4025, 9375], [1900, 3409], [2705, 8532], [2340, 7845], [1316, 10528], [9456, 11441], [2964, 3508], [8065, 10358], [641, 3973], [6320, 10275], [1797, 3661], [2696, 7665], [5505, 7847], [11012, 11221], [3194, 4909], [7118, 11194], [1605, 10257], [8647, 9932], [10225, 10841], [7362, 7390], [8824, 10568], [923, 9671], [5658, 8062], [4490, 11023], [3565, 10679], [1910, 7106], [2042, 9477], [3876, 8097], [734, 10149], [3556, 6429], [2152, 7393], [5023, 10705], [3707, 6598], [875, 2460], [4140, 9863], [4489, 10017], [9460, 11159], [1122, 3091], [91, 1597], [3148, 8297], [8900, 10004], [414, 1284], [1004, 8697], [2926, 3000], [2024, 10776], [9785, 10138], [439, 8696], [537, 9985], [1282, 3723], [6598, 8283], [1148, 11078], [3877, 11331], [641, 3168], [5873, 8781], [4749, 11260], [242, 2116], [4070, 7939], [145, 8599], [2691, 3483], [3403, 8415], [2001, 3036], [574, 1542], [197, 5756], [764, 8055], [2686, 6522], [1412, 1860], [2240, 2271], [906, 3220], [1009, 4853], [4607, 7770], [656, 9461], [2218, 3421], [10585, 10729], [5167, 5892], [2457, 3437], [4681, 9382], [2522, 4586], [2804, 7682], [4361, 7714], [4956, 11307], [1537, 10607], [2678, 9263], [1654, 4776], [3481, 7143], [1053, 10036], [4971, 5953], [1079, 9005], [2703, 3843], [5039, 10029], [1030, 6080], [1589, 7764], [529, 7784], [10880, 11027], [5532, 7683], [4386, 6431], [1321, 5505], [2635, 8031], [9173, 10647], [2609, 6810], [3753, 4983], [2419, 10850], [4251, 9397], [201, 4693], [3843, 11292], [1265, 4792], [8285, 8680], [4682, 9583], [5451, 7879], [1903, 4325], [8971, 10139], [667, 7317], [5760, 9388], [1567, 2878], [2181, 4269], [5611, 9265], [3553, 10937], [6812, 7972], [2020, 2631], [4141, 11107], [4387, 8130], [2116, 2339], [7475, 9979], [5847, 11235], [4205, 5615], [4100, 8073], [3945, 11168], [2106, 5034], [990, 8128], [7065, 8768], [6187, 8270], [8019, 10981], [3373, 11127], [489, 6799], [5057, 6770], [2758, 9511], [8573, 11540], [4154, 8659], [986, 10988], [7008, 10112], [716, 2267], [6577, 11057], [3611, 10891], [7162, 7546], [4954, 10405], [9743, 10530], [9003, 10720], [5846, 6822], [4170, 9542], [2639, 3561], [1274, 3699], [2227, 2304], [6192, 10842], [3549, 9609], [5256, 6956], [393, 9319], [9455, 11002], [4290, 4359], [3848, 4014], [3813, 7211], [5031, 7777], [3472, 11082], [74, 4089], [3219, 6472], [4590, 10286], [3188, 4907], [3277, 10614], [51, 133], [6867, 10607], [4768, 5862], [8534, 10807], [1166, 3203], [9216, 10612], [6728, 7038], [2626, 6308], [2939, 4553], [6147, 10668], [7217, 10612], [36, 5086], [2895, 11047], [4759, 5345], [4760, 8953], [826, 5363], [5807, 7193], [22, 7258], [2381, 8732], [5242, 11356], [39, 10645], [448, 2936], [7976, 11172], [4984, 9785], [1353, 10892], [686, 5733], [629, 5199], [6350, 6839], [7193, 8282], [4706, 7562], [1347, 11077], [3138, 6617], [8308, 11352], [935, 5656], [2211, 3194], [3752, 4975], [8890, 10172], [6154, 6496], [338, 8002], [4567, 7753], [6239, 8297], [7204, 11423], [2060, 5657], [1201, 3681], [6154, 9879], [2474, 3954], [3753, 8179], [5143, 9791], [6331, 8236], [3481, 9184], [4088, 7876], [4231, 7430], [2920, 4421], [2271, 6227], [89, 10307], [1734, 6022], [1933, 9615], [1713, 5145], [4574, 7769], [954, 2649], [6127, 11065], [4100, 7886], [4289, 10791], [2667, 3194], [10755, 11087], [8898, 10763], [1054, 9646], [278, 3009], [4841, 9052], [2353, 4724], [4046, 4617], [3949, 11100], [336, 7151], [6406, 9699], [3691, 6146], [6401, 8601], [1050, 5740], [540, 3948], [1539, 5904], [8949, 9947], [50, 9948], [4714, 9627], [8409, 9444], [7998, 8412], [4080, 6079], [7450, 10270], [6832, 11389], [1287, 5279], [163, 10764], [4678, 4685], [2522, 5822], [6166, 9084], [882, 7445], [5008, 6317], [469, 5586], [718, 8542], [2363, 5011], [2550, 11253], [4162, 4576], [3818, 4766], [2680, 3375], [4331, 10212], [7220, 7714], [4072, 5033], [1054, 8841], [2671, 3262], [48, 2681], [3752, 6748], [448, 9970], [2155, 3153], [8722, 9917], [5494, 6533], [5919, 11435], [3622, 4423], [2255, 3734], [5362, 9797], [5427, 7940], [9059, 10441], [3613, 9972], [605, 10304], [3802, 6461], [4136, 5583], [9309, 9835], [6195, 7519], [1644, 4519], [4797, 10927], [153, 6238], [11078, 11443], [5075, 10871], [5195, 10973], [273, 1055], [4475, 8782], [4757, 7714], [3723, 7457], [1747, 11413], [5577, 7483], [4367, 10942], [5079, 6452], [3054, 4100], [443, 8040], [5541, 10455], [6350, 6652], [5226, 9131], [3312, 8273], [220, 9688], [194, 8467], [1402, 4181], [6446, 9743], [431, 7656], [1016, 4145], [33, 6829], [1363, 7636], [716, 3853], [8582, 8701], [6505, 10323], [2570, 10295], [3848, 5250], [1167, 7697], [1736, 10069], [9950, 9965], [2132, 3653], [2942, 9120], [669, 6666], [7957, 9780], [1486, 2724], [5428, 6205], [2575, 7606], [8600, 10411], [6335, 8572], [8797, 10925], [4119, 6652], [7011, 10841], [977, 3786], [82, 7071], [2188, 10351], [7198, 10667], [8844, 9990], [97, 963], [2428, 6805], [2865, 3396], [5084, 5991], [543, 10849], [6575, 8409], [3058, 10584], [5138, 6227], [6067, 8942], [6235, 10970], [6411, 7254], [9556, 9637], [4053, 8634], [1582, 8447], [3550, 10265], [2975, 7324], [769, 2682], [994, 5244], [3563, 7494], [2195, 10367], [4717, 6355], [4311, 5667], [9820, 9868], [5286, 9481], [1272, 4434], [3280, 4927], [2548, 4978], [6579, 11160], [540, 3761], [760, 1815], [1019, 3207], [8479, 11531], [1636, 9033], [3460, 6965], [662, 8073], [4868, 6874], [7476, 9052], [998, 7241], [8343, 10889], [2001, 4435], [1526, 7360], [812, 8771], [3592, 6303], [5576, 5648], [1648, 2627], [1339, 10917], [3576, 5046], [6201, 11335], [8240, 11141], [5750, 6740], [27, 1267], [935, 10275], [6805, 9005], [3632, 4574], [10724, 10782], [521, 8191], [925, 5800], [713, 8361], [1668, 10045], [6941, 11495], [3287, 7545], [1506, 5553], [3386, 5272], [4036, 6320], [5154, 9688], [8232, 10849], [391, 9249], [5055, 8928], [7300, 9334], [10820, 10840], [2472, 8500], [1596, 8829], [5574, 7049], [6756, 7958], [1348, 4563], [730, 5682], [9687, 9823], [5554, 9780], [2640, 3388], [5666, 10021], [1837, 11143], [5693, 6182], [1092, 3819], [625, 11523], [1654, 5020], [2141, 5138], [2048, 2695], [1490, 3865], [10354, 11225], [837, 5929], [82, 923], [3544, 8086], [4217, 6674], [1911, 8998], [770, 8090], [4789, 7065], [2726, 8393], [1888, 7294], [12, 2032], [3618, 8974], [3444, 7855], [450, 5641], [2412, 6890], [3809, 5509], [2687, 8815], [1314, 4928], [2179, 10102], [1563, 5632], [930, 1555], [5709, 5880], [248, 5133], [4324, 4642], [600, 8968], [7816, 10516], [6689, 9314], [3081, 5709], [1183, 8794], [6780, 8678], [1025, 1792], [3490, 3662], [8312, 11097], [535, 7792], [1149, 9183], [2114, 2887], [1460, 4349], [431, 4436], [1262, 10780], [1883, 2762], [3438, 6131], [10220, 11359], [10699, 10805], [5401, 10988], [1258, 3841], [1388, 9549], [7475, 9068], [1661, 4231], [671, 9908], [8814, 11092], [7346, 9597], [4302, 5768], [3233, 8708], [1185, 11068], [1340, 8727], [10118, 10651], [932, 10622], [987, 11083], [5295, 10161], [4104, 11418], [4223, 6414], [8051, 8073], [4255, 10833], [3171, 11213], [1117, 3959], [1211, 9256], [50, 2808], [4633, 7975], [4910, 6563], [4031, 9627], [5529, 8298], [4906, 9073], [5102, 6733], [7736, 10132], [241, 3507], [3976, 9139], [483, 3040], [8388, 11226], [230, 8229], [2210, 10838], [2251, 6675], [2344, 7620], [3180, 7892], [2053, 6690], [3584, 5501], [5574, 11050], [5383, 8072], [787, 10217], [7010, 7345], [3174, 6542], [3800, 9448], [5291, 5450], [8184, 10241], [3227, 6553], [8767, 10067], [5369, 10244], [5909, 7714], [1263, 5608], [9948, 11505], [8441, 10836], [3096, 11173], [3208, 4998], [687, 5448], [2994, 6732], [2244, 5480], [4716, 9275], [659, 9816], [7226, 10918], [999, 4222], [1246, 10515], [1676, 10099], [8718, 9774], [6882, 10327], [2837, 3715], [4571, 11553], [2931, 9012], [10980, 11315], [10146, 11089], [6999, 7879], [1987, 4484], [4232, 9054], [1543, 6722], [2451, 9314], [1947, 11501], [2858, 11358], [6748, 7479], [3751, 5748], [4938, 7001], [2825, 8966], [3666, 9582], [2749, 9910], [1761, 11496], [1541, 3616], [450, 2071], [7483, 10328], [3371, 8910], [2163, 2616], [6744, 6956], [9220, 9769], [2036, 11142], [7196, 8019], [5771, 9604], [2595, 6410], [3488, 7216], [2061, 5722], [1588, 3058], [3205, 10311], [2620, 7406], [5918, 6621], [2905, 3603], [1129, 9125], [1642, 3294], [2336, 11030], [4788, 8531], [6790, 9933], [2198, 4680], [4606, 6770], [624, 10306], [6740, 9065], [5001, 9928], [1789, 6323], [3499, 9603], [5236, 9044], [3622, 5472], [3214, 3957], [4015, 5174], [4858, 6617], [8347, 8810], [2342, 7411], [1932, 9233], [872, 9253], [1997, 7376], [92, 5880], [1186, 11106], [997, 1785], [1253, 5912], [1160, 3469], [7806, 8836], [549, 871], [1766, 10634], [4598, 7602], [828, 3669], [924, 9793], [1330, 4065], [4698, 8183], [7093, 10068], [1133, 6934], [1735, 5282], [2827, 10435], [6430, 7280], [3155, 8988], [3714, 10672], [512, 7755], [5456, 9703], [6168, 8219], [4332, 6520], [39, 8474], [6670, 7117], [7573, 8611], [2750, 8121], [4735, 6910], [3183, 4970], [8931, 11439], [1873, 11231], [2336, 6037], [6787, 11085], [2081, 5518], [6528, 6660], [216, 3798], [5376, 7845], [1021, 8921], [7082, 7219], [2543, 6488], [2018, 7798], [8863, 10342], [7027, 10895], [1170, 9394], [5060, 5515], [4256, 10416], [6830, 7348], [4834, 9898], [3373, 9574], [8065, 11301], [1289, 10025], [5124, 6439], [938, 2628], [8575, 10060], [1565, 9142], [4638, 9205], [997, 9624], [2717, 11340], [3090, 10390], [2586, 6161], [7689, 8920], [722, 4666], [5820, 7081], [527, 7608], [2736, 6105], [809, 878], [1139, 2510], [1900, 11468], [1583, 9317], [3068, 7783], [11077, 11411], [492, 8526], [547, 8233], [10355, 11426], [238, 3691], [4842, 9735], [4491, 8754], [1390, 6643], [1008, 10513], [2038, 6864], [7573, 10034], [8920, 9290], [2721, 4642], [1974, 2907], [1408, 4216], [5076, 8626], [4269, 6840], [3611, 11566], [5175, 6353], [472, 5965], [3211, 7660], [9312, 9521], [7745, 11430], [9467, 9809], [2614, 6623], [1989, 10735], [2145, 11248], [738, 1361], [4724, 7770], [150, 10236], [1294, 8409], [3376, 4879], [2908, 3313], [6185, 7313], [5741, 10305], [7057, 7242], [9545, 11570], [1195, 5397], [3748, 10120], [7762, 8751], [9324, 9881], [909, 5565], [941, 7732], [8781, 11359], [6549, 9660], [4026, 9283], [5546, 9433], [68, 5299], [5011, 6645], [160, 8271], [2018, 11449], [7431, 8772], [9389, 9902], [526, 5396], [6881, 8305], [558, 8317], [492, 9949], [857, 1968], [5373, 7411], [1354, 2774], [176, 4236], [5742, 8971], [1485, 4920], [3871, 10469], [6524, 10138], [2385, 6116], [3927, 5116], [6079, 9495], [1874, 7132], [3221, 10552], [4403, 5045], [8143, 11021], [3240, 4186], [2561, 11445], [1025, 9257], [1582, 10114], [909, 5110], [4792, 10640], [3917, 10413], [271, 3318], [6000, 9737], [2974, 3104], [7393, 8614], [10918, 11218], [1818, 6799], [6742, 7341], [197, 8472], [3629, 10131], [2043, 2945], [8142, 10395], [2827, 9443], [764, 10771], [4081, 4778], [1725, 2821], [1042, 3545], [1967, 2354], [4026, 10706], [6321, 8223], [1687, 3468], [1002, 3365], [4980, 6503], [1119, 3950], [6604, 7757], [2524, 11512], [3142, 3977], [7591, 8198], [128, 10156], [8125, 11515], [1026, 4890], [4171, 7273], [2757, 6795], [2545, 8602], [9823, 11028], [251, 8277], [96, 10618], [10354, 10664], [495, 2221], [6737, 9225], [6222, 7813], [1585, 9957], [1015, 9612], [5502, 8655], [8361, 10452], [109, 1404], [3249, 3443], [296, 7646], [2725, 7607], [3551, 7191], [538, 7179], [3088, 5969], [4207, 5775], [3931, 10795], [4019, 6478], [7038, 9688], [319, 9700], [816, 3336], [9100, 11141], [2454, 5050], [6261, 9996], [7536, 7686], [4576, 10718], [1491, 1970], [1931, 6406], [998, 8453], [1077, 7056], [1488, 5836], [593, 4203], [1369, 4424], [2479, 3767], [10018, 10664], [3289, 9234], [1056, 6179], [4968, 10195], [855, 1759], [400, 4562], [7177, 8692], [1800, 6862], [1542, 6072], [957, 3167], [7415, 11489], [9641, 11091], [2883, 4759], [3468, 7664], [5618, 8964], [1002, 1405], [6889, 9164], [757, 5738], [9227, 9761], [171, 11276], [3296, 5867], [3650, 6365], [3958, 4266], [4773, 10077], [5076, 7634], [3422, 7669], [8468, 9894], [712, 5214], [1644, 5194], [6219, 6336], [3763, 7181], [2617, 5929], [807, 5451], [2431, 2541], [1586, 5189], [8805, 9664], [2924, 10021], [33, 5276], [2889, 7556], [7154, 9216], [6459, 8425], [4189, 6242], [677, 8761], [5808, 7152], [820, 8315], [305, 487], [3725, 11211], [3751, 10180], [3227, 10180], [2697, 7736], [7053, 9514], [1819, 7238], [5360, 9621], [1404, 2300], [4805, 8810], [2842, 7336], [4304, 10514], [2396, 9501], [226, 3762], [4833, 7071], [1280, 3173], [4884, 10042], [7778, 8642], [5843, 6183], [6307, 11013], [6568, 9068], [9271, 10352], [1733, 7063], [453, 2613], [1959, 6063], [1360, 11396], [6179, 8734], [265, 6699], [4002, 6742], [3281, 6228], [2221, 7002], [2966, 4904], [5116, 8456], [3213, 11197], [5365, 9160], [3617, 5396], [1232, 9117], [5860, 6887], [4609, 10345], [5770, 10377], [2439, 5360], [9906, 9937], [7557, 9181], [685, 1027], [5172, 6486], [7806, 9885], [10209, 10877], [2556, 2912], [4817, 8015], [1213, 10945], [34, 9553], [9046, 11149], [6463, 10721], [21, 2151], [3909, 8025], [7641, 7724], [2288, 4036], [6176, 9910], [2912, 10279], [1231, 8491], [5520, 9047], [9571, 10189], [2653, 5854], [4932, 11506], [4208, 5813], [8456, 10179], [8505, 10394], [7722, 9002], [8190, 9070], [1371, 11130], [7570, 9362], [3, 6833], [4956, 6615], [6255, 8863], [5016, 7420], [3173, 10966], [7502, 7915], [191, 10267], [10120, 11535], [8494, 8700], [5168, 8191], [2492, 10982], [5415, 8068], [310, 8646], [2541, 10874], [5626, 6036], [2200, 10581], [5837, 6256], [300, 761], [4374, 10023], [9348, 10682], [4186, 9972], [5841, 7129], [7021, 11375], [1381, 4247], [6924, 7278], [9376, 9697], [2409, 4689], [979, 10094], [2009, 7199], [970, 5844], [4213, 5352], [4925, 7278], [523, 2122], [877, 2620], [6448, 7699], [5613, 11035], [2580, 8893], [8782, 11560], [998, 10494], [7968, 8603], [10232, 10971], [120, 10750], [1185, 3904], [3516, 9746], [8358, 8788], [1730, 7410], [1203, 10899], [711, 8185], [8732, 10692], [5031, 10306], [4318, 8155], [4694, 10886], [6802, 8577], [5812, 7838], [2531, 8600], [5806, 7269], [608, 7656], [3498, 8766], [5979, 11169], [3023, 5275], [165, 7086], [406, 3011], [9186, 11397], [509, 10279], [1834, 4326], [7838, 8506], [3335, 7432], [1243, 3858], [2576, 11352], [2235, 8807], [3690, 4398], [2858, 4999], [7302, 8876], [3162, 5410], [2475, 4480], [3836, 7606], [3464, 11410], [2944, 9654], [637, 1954], [1165, 4325], [5518, 6586], [1502, 7128], [612, 10003], [9220, 9826], [4003, 9409], [10097, 10099], [515, 10070], [3965, 6673], [4836, 9383], [244, 4130], [7012, 11150], [42, 7379], [8187, 9390], [2985, 5117], [2670, 10209], [3694, 4116], [4636, 4784], [2081, 10568], [2638, 5009], [652, 8247], [6275, 7100], [2455, 5302], [1895, 4147], [2608, 9681], [4000, 7956], [5901, 7798], [6966, 8122], [3752, 7854], [2157, 11502], [3354, 7027], [3693, 10657], [1824, 8818], [10274, 11465], [2381, 7423], [9781, 11532], [6979, 9488], [5867, 9318], [6292, 7804], [528, 9500], [6047, 7973], [496, 9962], [9501, 11111], [1559, 7207], [5951, 10894], [652, 4059], [4576, 10344], [5224, 11319], [8995, 10192], [4656, 5385], [8869, 11019], [8122, 10038], [180, 8386], [3506, 6643], [3820, 8496], [1889, 2773], [550, 10548], [9602, 11543], [447, 9669], [1567, 7448], [4985, 10929], [4780, 7491], [2693, 4261], [3803, 10020], [5614, 11100], [3682, 5529], [3522, 7526], [8105, 8529], [6539, 10663], [9648, 10383], [6232, 6948], [3577, 10616], [4614, 8892], [70, 7817], [2993, 4903], [1016, 5251], [8868, 10393], [327, 1242], [8891, 11316], [4168, 8024], [6774, 9375], [1136, 3074], [6120, 8585], [1457, 5344], [3229, 7250], [4159, 7157], [4064, 8051], [2995, 10237], [3000, 11335], [1792, 11457], [696, 3152], [6637, 7010], [4398, 6392], [3030, 6259], [11033, 11570], [8380, 9649], [7345, 11419], [4329, 5474], [6849, 7805], [4196, 5884], [10933, 11339], [7321, 10244], [5855, 9576], [2861, 7362], [2797, 9821], [5186, 6973], [3565, 8646], [3651, 7666], [7984, 8494], [3340, 9467], [43, 1028], [165, 2711], [5679, 7256], [6054, 6379], [8874, 9002], [1005, 3102], [3861, 5382], [502, 2481], [2052, 7758], [3027, 11572], [8032, 11544], [90, 9892], [3959, 11552], [163, 8650], [2840, 8713], [1553, 10262], [2463, 6511], [6150, 8719], [4388, 5249], [2912, 3139], [6473, 7652], [7722, 9783], [313, 8594], [8328, 11313], [7219, 9162], [4411, 9582], [5290, 6518], [2599, 8277], [7645, 11256], [3849, 7600], [5750, 8196], [4988, 5429], [3884, 10038], [3540, 10228], [2248, 4263], [665, 3010], [6865, 10512], [1437, 1577], [1039, 11330], [1562, 6187], [256, 7686], [2553, 8282], [3686, 6266], [1067, 3175], [2273, 9396], [1130, 7661], [6727, 7545], [8129, 10672], [7793, 10723], [7975, 10205], [3303, 9130], [841, 10941], [399, 3426], [6909, 10410], [2733, 7287], [3158, 5773], [955, 11228], [3043, 5234], [2723, 5818], [1083, 7441], [1267, 10002], [5281, 8633], [9348, 10308], [2011, 10685], [3403, 8960], [6297, 7560], [579, 8847], [2164, 5265], [4032, 9131], [353, 6814], [7204, 9927], [5606, 6888], [8558, 8876], [561, 1101], [7594, 9358], [6828, 10579], [5766, 7520], [3543, 5183], [5922, 8033], [2462, 4326], [3150, 8864], [2235, 5855], [27, 10212], [1589, 11342], [3389, 4716], [2893, 6764], [5596, 8802], [128, 4602], [4416, 11349], [2945, 3921], [362, 9909], [2913, 5137], [3501, 5307], [3444, 4773], [419, 994], [859, 7682], [761, 4141], [1793, 8489], [2132, 7955], [4996, 7844], [2224, 4511], [2841, 3167], [1096, 3838], [2276, 10336], [1185, 8791], [9903, 10664], [5137, 6544], [3986, 4948], [3650, 11415], [3712, 5877], [4946, 6976], [1595, 3936], [3799, 8505], [2328, 7493], [7591, 8255], [10011, 11136], [2731, 7883], [902, 3191], [9823, 11085], [6225, 8168], [1949, 7847], [1959, 8535], [2668, 6780], [1828, 9772], [3103, 6708], [2578, 8018], [155, 4839], [6034, 8573], [3868, 6016], [3400, 3696], [8606, 10340], [1763, 5590], [4225, 4533], [5116, 10928], [1167, 11194], [10597, 10829], [2190, 11292], [1655, 7750], [4955, 7038], [5964, 9682], [5393, 10647], [446, 7647], [5549, 11160], [5821, 9404], [8498, 9467], [2376, 6729], [7479, 10242], [9380, 10084], [9468, 9931], [2338, 3993], [9192, 10787], [117, 948], [736, 7601], [6852, 10494], [6847, 10150], [1147, 2217], [7313, 9391], [1466, 10830], [6520, 7311], [5527, 8553], [3541, 6129], [1820, 4188], [3106, 9584], [11, 902], [2657, 5816], [353, 10465], [5251, 10540], [7359, 8231], [7486, 10258], [4910, 10247], [7140, 8867], [5402, 10709], [1732, 5472], [2532, 10251], [512, 1827], [10375, 11143], [7564, 8636], [1564, 6827], [7732, 9910], [6677, 11028], [9977, 10316], [1414, 3850], [4299, 11032], [321, 1478], [7791, 10490], [7789, 8165], [6161, 8667], [4540, 6930], [6752, 9108], [398, 6801], [7223, 8693], [9642, 10218], [1431, 7587], [149, 9480], [4225, 8989], [680, 9116], [5501, 6527], [6184, 6557], [10132, 10984], [5254, 5869], [5495, 8964], [832, 3471], [1771, 7628], [5183, 7157], [8323, 9196], [2376, 11185], [8611, 9828], [5488, 8924], [445, 6216], [1198, 11149], [8626, 10136], [1868, 3804], [3474, 10868], [138, 4753], [2932, 6155], [2469, 8343], [315, 10307], [913, 4749], [4822, 5838], [5771, 7677], [6048, 10429], [2643, 9435], [1777, 10452], [4788, 9637], [9428, 11174], [4268, 7881], [4235, 5489], [2234, 7695], [5570, 7394], [2232, 11032], [9928, 9999], [3259, 8620], [215, 7043], [278, 4359], [7704, 9689], [6026, 10828], [7055, 9243], [1800, 8342], [3125, 8805], [8491, 11200], [614, 3527], [4442, 9350], [7239, 8017], [7645, 9459], [8421, 8926], [324, 10369], [1506, 4862], [5434, 7883], [4313, 10633], [4437, 5973], [7207, 9233], [2217, 3153], [6537, 9438], [2533, 5079], [6196, 9145], [74, 6407], [480, 1433], [3773, 10130], [1034, 2773], [4590, 6188], [4208, 10058], [3730, 7050], [906, 9189], [2957, 6346], [6472, 7508], [7442, 10978], [4584, 5619], [224, 7105], [2581, 7752], [10113, 11226], [163, 2665], [7527, 10527], [10051, 10348], [3507, 7917], [2705, 6475], [8152, 9798], [614, 5755], [3513, 8863], [736, 5186], [7766, 9762], [4089, 7518], [8851, 10738], [2015, 9411], [5528, 9746], [9327, 10667], [1631, 6038], [46, 9620], [3121, 4848], [791, 1860], [7210, 8726], [1850, 10283], [3073, 11193], [971, 6931], [2370, 6377], [2471, 6429], [1783, 2645], [2352, 9181], [2311, 2764], [1378, 4811], [1500, 3488], [8571, 8819], [563, 8799], [3401, 7467], [4855, 6620], [6324, 10969], [8507, 10497], [7874, 9830], [3335, 9099], [4137, 10541], [3822, 9217], [8654, 10924], [3955, 8026], [5476, 6149], [940, 11351], [4627, 6389], [243, 7481], [4138, 10362], [6896, 9101], [9294, 10503], [2787, 7954], [9643, 10657], [4447, 4701], [1258, 6183], [10915, 11459], [3405, 3802], [3783, 8858], [3284, 4973], [5400, 9695], [760, 1742], [2900, 8016], [1076, 3668], [8791, 9101], [1105, 2154], [2908, 6379], [8570, 10822], [2524, 9422], [1806, 6173], [1437, 11002], [6141, 7828], [281, 2646], [3775, 5183], [124, 10576], [3142, 5270], [2901, 8591], [7247, 9681], [36, 2061], [3367, 7832], [5476, 8377], [1778, 8262], [1358, 8642], [5475, 11158], [9459, 11078], [56, 6850], [5214, 9316], [10174, 10269], [5411, 10584], [521, 8118], [3501, 5738], [8664, 9302], [7674, 8563], [9129, 10570], [3248, 10927], [3090, 3925], [473, 1661], [2057, 5768], [3932, 11559], [6045, 9594], [3677, 10286], [631, 1466], [4767, 5944], [7077, 10909], [6979, 8122], [7003, 8516], [7318, 7588], [3488, 5102], [833, 8770], [6703, 8224], [6404, 7433], [5196, 5303], [7090, 10390], [999, 7719], [4827, 9378], [2141, 11481], [6778, 9337], [1344, 10383], [2961, 11220], [551, 2641], [872, 11327], [4071, 4147], [8833, 10777], [3141, 3459], [4562, 10800], [2640, 10081], [7048, 7885], [828, 8776], [8023, 8693], [769, 7415], [8733, 10546], [5092, 10965], [7210, 9344], [8894, 11403], [3657, 5446], [2444, 2972], [4178, 10810], [7574, 10560], [1965, 9161], [5867, 6797], [2875, 5410], [6949, 10508], [2908, 11185], [10406, 10911], [74, 6220], [4730, 8290], [1182, 4736], [528, 10362], [7006, 8009], [3952, 5744], [1690, 6832], [1098, 9926], [255, 2067], [9962, 10870], [848, 2581], [7257, 8759], [7307, 8122], [738, 4695], [32, 2961], [301, 7323], [8649, 10417], [5782, 7224], [8151, 9386], [1642, 10174], [4840, 5021], [3560, 7741], [6450, 8851], [6463, 7558], [4066, 9764], [4159, 5791], [5243, 10329], [175, 9254], [1248, 8715], [317, 11589], [4023, 9313], [164, 1925], [7049, 10284], [10619, 11153], [6512, 10079], [7966, 9232], [5318, 7655], [7198, 7374], [7155, 10710], [1155, 9655], [3364, 7398], [2545, 10513], [7407, 10931], [1469, 10754], [5129, 8133], [3582, 8789], [3264, 3784], [60, 10620], [2386, 9702], [655, 1381], [896, 4476], [23, 5076], [7748, 8191], [2053, 7772], [5007, 6423], [5434, 5736], [1423, 7376], [699, 7345], [7302, 10356], [2942, 4672], [2422, 9332], [2596, 4035], [4404, 7850], [827, 5810], [9786, 10778], [3385, 8625], [8643, 9043], [3662, 7213], [4004, 10360], [363, 4363], [8148, 8283], [6116, 8924], [8196, 10983], [6332, 7236], [384, 2207], [917, 9086], [4358, 7855], [5920, 8231], [4079, 8440], [8573, 10906], [1715, 6622], [101, 3804], [1040, 7207], [5486, 5495], [200, 9445], [9130, 9511], [7531, 9253], [4857, 8707], [2331, 5807], [6905, 8976], [778, 5894], [1652, 2486], [3479, 7105], [4855, 9011], [4315, 5125], [8734, 10635], [8546, 11338], [2140, 2425], [1599, 7736], [3155, 8297], [4285, 9016], [2410, 3225], [3120, 5078], [2903, 7295], [4527, 8549], [1464, 2034], [3673, 6947], [2214, 7450], [5646, 9109], [3929, 11074], [684, 5077], [10642, 11247], [5791, 8709], [216, 6140], [4507, 7523], [2702, 3225], [6057, 6384], [5781, 11404], [327, 6910], [891, 8938], [2262, 6336], [7427, 10727], [491, 5032], [422, 9399], [47, 8024], [4757, 10300], [705, 3271], [6271, 8006], [1718, 8343], [2841, 5639], [8228, 8911], [3214, 11105], [5521, 5973], [1722, 9216], [2966, 4587], [3768, 6029], [7420, 9906], [2187, 10484], [2, 10883], [3529, 9396], [1192, 9401], [7190, 10383], [4301, 5711], [6761, 7237], [4478, 11265], [4889, 5881], [752, 8348], [6217, 6615], [6235, 11328], [4076, 6532], [4260, 9093], [1373, 5248], [2264, 5227], [187, 433], [10360, 10729], [1272, 1409], [4172, 9623], [4566, 7298], [2919, 10002], [328, 2543], [4524, 7072], [2884, 5285], [950, 2297], [8546, 9728], [1889, 3448], [3809, 10510], [3227, 4870], [667, 6146], [3647, 3766], [7886, 10621], [4586, 11333], [6862, 11052], [2194, 7467], [3503, 3987], [93, 6059], [4676, 7062], [3184, 11589], [261, 1671], [476, 5797], [6177, 10168], [5955, 11287], [2053, 7235], [5511, 7863], [91, 2199], [3241, 4926], [837, 3709], [4740, 11369], [370, 11413], [991, 1143], [2362, 4957], [182, 5700], [2549, 11199], [3473, 7154], [6906, 10169], [2978, 6394], [361, 10546], [4905, 5959], [4189, 6543], [7361, 10749], [3655, 10019], [1356, 8596], [2109, 7113], [1820, 7010], [377, 1630], [6739, 7962], [3468, 10543], [2240, 2873], [5481, 11380], [5488, 6135], [3268, 3315], [2887, 3623], [4941, 7844], [483, 8041], [6895, 7320], [761, 7231], [10640, 11388], [2356, 4337], [3601, 8978], [6545, 6941], [2761, 7806], [4869, 5497], [3506, 5708], [7057, 8779], [3352, 5241], [225, 9853], [820, 4778], [9006, 9042], [4582, 5817], [2273, 10876], [3220, 5472], [1030, 5527], [8841, 10668], [649, 5835], [3233, 9871], [5822, 10087], [6691, 10499], [6567, 8743], [2981, 8869], [1210, 7565], [3481, 6940], [8269, 10627], [7548, 8615], [1605, 8094], [2260, 3070], [1797, 1848], [3506, 11319], [6278, 8990], [784, 933], [45, 10393], [8316, 10823], [2567, 7135], [4084, 10020], [1154, 3095], [2988, 8885], [9130, 10747], [914, 10024], [782, 1237], [436, 600], [1781, 3193], [1877, 2901], [10557, 10706], [1371, 11431], [230, 6359], [7441, 7563], [5814, 6038], [8492, 8955], [8218, 10638], [5606, 8718], [6263, 6773], [179, 9053], [4380, 6756], [395, 7365], [2666, 6740], [4875, 10899], [3385, 5673], [5873, 10001], [4978, 8368], [5850, 8297], [636, 6673], [4477, 7039], [1129, 10743], [6806, 9802], [5080, 8271], [2874, 7039], [190, 5805], [3464, 3872], [4456, 11073], [1686, 8567], [5206, 10073], [6812, 9997], [3804, 10329], [468, 4968], [7312, 10320], [1899, 6581], [3480, 11171], [3951, 6592], [3235, 11340], [7407, 10557], [612, 10759], [1424, 6473], [4753, 9165], [736, 10236], [2539, 9543], [7269, 7590], [736, 3820], [2785, 6566], [3253, 8132], [2511, 5243], [541, 2598], [6177, 8826], [9038, 9198], [1068, 5498], [1670, 3846], [1719, 10154], [7080, 11451], [1192, 4221], [8096, 10378], [2710, 10714], [3952, 10176], [6916, 9515], [624, 8086], [4886, 6819], [679, 2131], [1577, 3281], [2464, 10658], [3447, 7974], [1523, 6428], [831, 5154], [2673, 8553], [580, 11170], [2075, 10324], [3343, 10253], [6983, 10363], [2726, 8564], [2848, 9493], [2158, 9046], [1452, 8066], [1825, 6362], [6513, 11353], [8970, 9198], [503, 8856], [2471, 10674], [405, 1905], [196, 8147], [6729, 9665], [2123, 6958], [4146, 8483], [1154, 7096], [5051, 5142], [526, 3363], [1224, 8589], [8963, 9158], [246, 10893], [5540, 10968], [146, 863], [241, 7516], [5931, 7591], [709, 2666], [6686, 9187], [2849, 9694], [5245, 9515], [83, 3143], [2046, 4617], [8114, 10502], [9630, 10533], [1694, 9827], [4994, 9115], [6556, 10245], [4562, 7206], [8483, 9810], [1439, 9308], [728, 7230], [8081, 11493], [533, 6762], [2243, 3626], [3373, 8509], [3777, 6872], [7044, 10184], [9656, 9852], [2920, 7251], [1125, 1389], [7132, 9250], [6499, 9337], [6812, 7582], [3269, 10788], [7777, 9954], [2233, 3288], [7308, 10415], [8514, 10220], [4190, 10609], [962, 6471], [5060, 9711], [3318, 7647], [422, 8220], [1976, 2319], [6616, 10272], [2786, 10038], [797, 927], [7736, 10303], [6146, 7879], [4186, 10086], [3835, 9105], [7083, 8203], [760, 8215], [8702, 9867], [1474, 6804], [8361, 9574], [2592, 10172], [4328, 6005], [317, 1229], [1509, 6990], [576, 9037], [5581, 9009], [2496, 7431], [4059, 11415], [809, 11490], [167, 881], [6849, 8911], [5194, 5338], [3363, 10399], [531, 2097], [3514, 10568], [1117, 6358], [6621, 9461], [6041, 6900], [2075, 7559], [120, 4448], [1142, 7354], [7031, 11022], [4257, 11026], [2760, 11045], [3565, 9752], [7297, 9451], [1827, 4424], [2262, 10768], [9791, 10561], [9507, 10802], [5154, 6289], [952, 4197], [2529, 5635], [4081, 5323], [3841, 5836], [6826, 10216], [4460, 7571], [4114, 6934], [2531, 5681], [7629, 8096], [2555, 3823], [7381, 7994], [5266, 9132], [5075, 10318], [6472, 8183], [6002, 9954], [3233, 3886], [2923, 5158], [7090, 10447], [8874, 10458], [3914, 6499], [1742, 7103], [4137, 8988], [8063, 11182], [4073, 11447], [369, 964], [3166, 8299], [3393, 4518], [582, 2011], [3515, 6201], [1895, 5066], [398, 9249], [4823, 8912], [515, 9834], [427, 7735], [4028, 10923], [5161, 8907], [2127, 7294], [1411, 7878], [2152, 9044], [590, 1498], [6206, 9703], [874, 11056], [1025, 4809], [4421, 10975], [2936, 6093], [2370, 7402], [190, 975], [1776, 6663], [2866, 7983], [5913, 9077], [2921, 7690], [9772, 10803], [7123, 9001], [2950, 9559], [7399, 8118], [1950, 3968], [2845, 5601], [2478, 4087], [1387, 5548], [1788, 10056], [10315, 10449], [1380, 8541], [4274, 6387], [107, 1098], [4585, 10975], [2131, 10395], [6169, 7168], [2935, 11129], [6261, 9386], [1419, 11098], [7725, 9227], [160, 1863], [3991, 7203], [543, 847], [5890, 11136], [7125, 8673], [2452, 4744], [1405, 9887], [836, 1099], [1585, 8542], [4601, 8825], [2987, 5253], [303, 4019], [1084, 4584], [6877, 7790], [4444, 8087], [710, 8315], [1763, 10534], [1608, 9465], [980, 3480], [3848, 7275], [1953, 10631], [4229, 9596], [7118, 7852], [5650, 6357], [863, 5524], [978, 10200], [6729, 7518], [4578, 6747], [7423, 8838], [226, 924], [3406, 9909], [2059, 6489], [1780, 4822], [4918, 6034], [10432, 10579], [1146, 7690], [10280, 10939], [9270, 11076], [128, 4903], [1680, 4591], [1339, 4298], [8279, 10112], [8611, 9161], [7272, 7514], [2421, 11392], [6927, 10485], [7271, 10295], [11171, 11268], [1046, 4426], [490, 6423], [710, 10893], [9695, 9912], [1849, 8722], [698, 2962], [517, 4082], [3287, 7342], [68, 6730], [2722, 11505], [6213, 8109], [8952, 9804], [2221, 7547], [3436, 7815], [1127, 5704], [1939, 5582], [1412, 8317], [223, 10401], [2112, 9482], [3330, 10048], [1836, 7332], [2479, 7963], [374, 1121], [8594, 10631], [5261, 8951], [5416, 6610], [3606, 5378], [6092, 8879], [1114, 4314], [7299, 11538], [396, 8235], [4038, 5008], [3995, 8344], [9975, 11376], [4964, 11589], [723, 3153], [2384, 7672], [8349, 10426], [7939, 8084], [6411, 10702], [1903, 4366], [4826, 8622], [2000, 7682], [930, 7768], [2795, 5701], [683, 10520], [188, 9760], [2831, 4577], [3268, 5332], [3760, 5040], [1201, 9170], [2539, 10592], [797, 1358], [852, 1819], [789, 7132], [2155, 10602], [1878, 5598], [6733, 9009], [1134, 8298], [845, 8195], [5113, 7874], [1899, 9858], [7475, 8865], [3211, 10059], [1814, 5024], [5893, 10466], [4551, 5138], [3266, 3350], [2211, 7878], [4353, 5153], [2522, 6050], [3182, 7786], [806, 4453], [2055, 7338], [1581, 4449], [2329, 9038], [8368, 10021], [5369, 7463], [7151, 10057], [7794, 10688], [2783, 10147], [3720, 11225], [544, 7277], [7450, 9343], [2632, 6945], [5644, 9738], [133, 4710], [842, 2955], [728, 6051], [1189, 7200], [717, 8144], [8435, 10088], [2368, 7811], [3059, 8860], [3321, 6416], [2890, 9613], [8405, 9098], [3262, 8438], [1017, 1616], [3291, 6924], [7401, 10181], [6685, 10011], [6778, 6792], [4562, 4872], [931, 5979], [1943, 8197], [1664, 9536], [5559, 10165], [9208, 10361], [7075, 10196], [8575, 9694], [10257, 10926], [1130, 2432], [1389, 10240], [955, 7504], [7507, 9072], [4654, 11227], [3054, 7361], [2524, 11333], [1792, 11384], [6006, 10103], [6045, 9277], [2093, 5862], [9565, 10783], [5640, 11443], [2085, 10882], [6603, 11490], [4139, 7556], [6205, 10663], [1429, 2849], [969, 7560], [816, 4312], [1554, 4049], [8439, 10156], [2603, 9532], [8986, 10325], [5567, 8871], [741, 2448], [1957, 8603], [7645, 8605], [173, 6313], [197, 10871], [329, 6826], [3746, 7453], [2199, 5103], [3257, 4256], [3100, 4272], [4805, 7208], [6047, 8168], [441, 10450], [6234, 7994], [5888, 7357], [1533, 8433], [5700, 8060], [385, 11272], [4976, 11412], [1643, 3316], [2028, 3127], [8712, 11230], [9770, 10383], [3261, 7007], [253, 11503], [5969, 6383], [1239, 1920], [8407, 9813], [4572, 6983], [341, 4153], [702, 7350], [332, 6319], [5782, 6907], [2193, 3352], [8046, 11527], [2041, 3712], [822, 2921], [7575, 8909], [5426, 8965], [8452, 9182], [5368, 8206], [1058, 9055], [6691, 8596], [7976, 9603], [4208, 8749], [6281, 9637], [3201, 5397], [4238, 10089], [3579, 11207], [5855, 10926], [370, 4867], [7283, 8858], [2825, 6803], [2026, 4878], [646, 10400], [5094, 8734], [4646, 7820], [5031, 7631], [4716, 6307], [3222, 10007], [1694, 2045], [2745, 10607], [4307, 10983], [3185, 10879], [666, 11402], [4991, 7451], [5359, 10321], [4201, 9806], [1403, 10914], [4672, 8637], [2807, 8452], [436, 5463], [587, 5632], [2806, 11233], [7526, 7838], [6849, 8350], [966, 5628], [7868, 10958], [2235, 9165], [3038, 7045], [610, 9938], [7924, 11267], [4342, 8883], [2162, 3210], [2051, 5823], [1822, 9935], [2808, 7522], [918, 11222], [10629, 11099], [4371, 10752], [5059, 8874], [4123, 4988], [6077, 8628], [3316, 8837], [4149, 9592], [3213, 4952], [1372, 5161], [2217, 3267], [2092, 7702], [1023, 4226], [2684, 8745], [1208, 7389], [5098, 9926], [3052, 7451], [9027, 10139], [180, 6166], [488, 4067], [4379, 7960], [3601, 11076], [9583, 11525], [4215, 6805], [522, 6280], [9383, 9959], [1477, 8718], [6313, 7161], [5809, 5938], [3262, 10829], [7701, 7946], [2004, 10864], [695, 1512], [6271, 7689], [2009, 4792], [1787, 5911], [1541, 3226], [1631, 9535], [5294, 6431], [5581, 9871], [2375, 10218], [808, 2328], [2210, 5455], [3330, 5486], [7601, 11098], [4702, 5738], [5724, 9398], [9491, 10781], [8183, 11453], [6686, 11472], [4786, 8068], [736, 7528], [10326, 11582], [462, 8457], [2829, 7540], [2643, 11322], [78, 5084], [3510, 10907], [2574, 7021], [5846, 10677], [1044, 11064], [6087, 7356], [5937, 10795], [6123, 7013], [509, 1106], [8609, 10514], [1005, 8103], [10189, 11469], [8072, 9528], [412, 10972], [6726, 7464], [7097, 9097], [3654, 3839], [1309, 6235], [715, 5496], [3822, 11559], [1432, 4356], [959, 1692], [285, 9295], [3676, 8701], [3115, 6190], [2394, 4178], [5778, 8075], [2335, 2817], [6934, 8517], [1237, 10681], [3738, 8798], [3349, 11497], [7339, 9734], [4906, 11529], [6207, 8188], [2136, 9023], [8545, 8785], [1332, 6754], [10289, 10895], [1827, 10897], [4315, 8809], [1505, 8402], [2255, 9654], [3624, 10389], [911, 4253], [3937, 8634], [1017, 8813], [4558, 4780], [330, 7883], [1440, 7226], [8728, 10340], [4671, 8629], [2661, 11473], [3714, 10282], [4115, 10626], [3521, 6477], [1124, 2267], [1600, 7858], [7665, 7810], [3086, 9932], [8719, 9473], [2096, 9193], [7497, 9165], [4360, 7397], [5846, 8717], [7403, 9503], [1116, 2002], [206, 9136], [2360, 3008], [3354, 11036], [3139, 6910], [4557, 10570], [2946, 7269], [327, 10594], [3716, 9173], [1034, 2350], [1983, 4189], [4089, 5217], [9665, 11394], [7767, 10315], [3870, 6607], [537, 11343], [5996, 9011], [3400, 7624], [1483, 9501], [8478, 8606], [3996, 8409], [9524, 10408], [229, 3993], [872, 3870], [1739, 9871], [1551, 4158], [5069, 11253], [2951, 6458], [2018, 6253], [9368, 10245], [5476, 6881], [6436, 8909], [4471, 7362], [2912, 3497], [394, 7628], [3358, 7721], [5474, 9437], [3507, 4811], [1671, 4610], [6483, 11357], [2572, 3779], [3162, 11192], [356, 1859], [3747, 7681], [3373, 4996], [1943, 10401], [45, 3660], [9349, 11292], [416, 6047], [194, 7166], [4426, 7188], [3989, 4181], [5415, 7702], [2961, 9374], [1893, 3117], [1994, 10339], [2092, 6710], [552, 7813], [7214, 8021], [2582, 10509], [2666, 9456], [2803, 9165], [6502, 8724], [2768, 6700], [5879, 6466], [3907, 7912], [5128, 7995], [8051, 11497], [1565, 3409], [9104, 10306], [3228, 4591], [1731, 8774], [17, 10256], [857, 5766], [5578, 8231], [2126, 11555], [3373, 10607], [6585, 7796], [3020, 6547], [2807, 8883], [3614, 4253], [7190, 9074], [3442, 8118], [423, 8291], [2391, 9355], [1111, 1495], [367, 10611], [5806, 6903], [2874, 5567], [4066, 7918], [8773, 10677], [239, 9113], [2267, 10982], [297, 8337], [4849, 7775], [4772, 5865], [2499, 9827], [357, 474], [6239, 9387], [8978, 11082], [4188, 5814], [3152, 11146], [5168, 9248], [7602, 10307], [8218, 8361], [6356, 6939], [6454, 8228], [6946, 8690], [8472, 9409], [3948, 8986], [536, 2287], [3421, 9469], [317, 3677], [6165, 11508], [5601, 9480], [336, 1475], [279, 941], [3737, 7985], [2713, 7662], [1808, 5341], [7054, 8408], [343, 8281], [801, 2743], [9610, 10396], [2798, 3047], [1706, 2031], [5400, 7662], [45, 895], [5485, 7211], [4867, 8330], [5493, 11236], [3445, 7180], [2189, 8042], [1098, 9503], [1227, 5187], [8441, 10072], [2191, 8088], [2466, 3597], [6134, 8007], [5953, 9127], [900, 5731], [4045, 8114], [6032, 7730], [3461, 8063], [7372, 9225], [7062, 11251], [3454, 6892], [3696, 6425], [4356, 8915], [607, 5105], [3067, 7385], [1296, 6081], [5561, 8495], [865, 2862], [1794, 3325], [4152, 5328], [4085, 4106], [2627, 9715], [294, 7210], [3341, 9058], [4642, 4963], [445, 7379], [6641, 9477], [3857, 3875], [2427, 10034], [873, 9519], [1222, 7421], [374, 5634], [1896, 8863], [7037, 8696], [7460, 11273], [870, 6215], [147, 9792], [682, 6918], [520, 8842], [5497, 6766], [1522, 8063], [7267, 7845], [5868, 8399], [8954, 9421], [1232, 3571], [76, 1631], [4998, 8516], [1421, 4224], [1675, 7524], [6295, 7685], [4094, 6797], [7167, 7614], [3030, 10081], [852, 1071], [951, 4460], [1531, 7021], [5610, 10965], [4827, 9573], [6110, 11288], [8037, 10099], [1566, 3043], [6007, 7403], [6041, 6233], [1412, 8992], [8583, 10797], [647, 5927], [4014, 4939], [7692, 10037], [11110, 11266], [3975, 4230], [5072, 6721], [6443, 10535], [1555, 8896], [5817, 7629], [8745, 11475], [2169, 11041], [3232, 10538], [520, 5004], [2827, 6288], [2476, 4553], [6825, 9324], [142, 4829], [10881, 11564], [6022, 10663], [6335, 9662], [1535, 3706], [1065, 7729], [3463, 6125], [3365, 5590], [3334, 4025], [316, 2915], [1752, 5626], [5580, 11449], [6860, 8729], [315, 3444], [6734, 10310], [4885, 9123], [4541, 9313], [6636, 6742], [34, 6585], [6314, 10663], [1837, 10810], [10051, 10706], [5634, 10904], [9524, 11189], [3357, 4544], [7581, 11121], [6741, 6943], [1820, 5164], [3623, 9389], [10453, 10871], [2069, 5868], [448, 8295], [83, 3444], [2075, 9820], [6896, 7231], [3506, 5017], [8072, 10577], [2032, 10123], [4806, 7086], [1781, 3307], [4609, 9955], [3231, 4970], [5538, 6254], [5975, 7009], [2580, 10113], [4505, 8851], [1929, 8840], [3985, 10505], [1425, 5365], [7118, 11373], [2273, 7152], [1263, 6535], [3353, 10036], [2644, 4621], [9547, 11307], [5680, 8939], [608, 5493], [611, 9174], [1669, 8327], [4086, 6773], [1216, 6315], [3806, 7887], [43, 6623], [8845, 8941], [3717, 7815], [1649, 2383], [10812, 11288], [4356, 4540], [4581, 7102], [273, 1608], [6532, 11225], [3445, 8066], [6375, 7077], [5376, 8504], [8235, 10301], [986, 6361], [3966, 3981], [2849, 8385], [6390, 10768], [820, 2127], [2223, 8862], [4991, 10541], [5058, 9511], [569, 8143], [5832, 8905], [4899, 10952], [3842, 8991], [8198, 10769], [8628, 10353], [4519, 8452], [1333, 3816], [8877, 11057], [4887, 10568], [752, 9698], [2371, 4946], [1810, 6599], [564, 10401], [6598, 11040], [1734, 7543], [2212, 4135], [5971, 7909], [7280, 8593], [1447, 7486], [1426, 6609], [5942, 6390], [3667, 9525], [4777, 8868], [6556, 7781], [3686, 7323], [554, 10063], [2753, 7118], [5647, 5718], [10749, 11258], [4627, 8520], [6733, 10302], [769, 11156], [811, 3488], [4458, 7021], [6911, 8130], [4705, 6898], [1560, 5269], [3045, 3735], [3638, 10665], [10060, 10632], [1714, 2703], [8274, 8296], [9805, 10113], [3611, 5809], [5006, 7765], [2955, 4192], [4128, 7267], [1741, 10161], [6665, 11457], [306, 8806], [2384, 3622], [4440, 6041], [4228, 7848], [3041, 6595], [295, 4483], [6941, 9820], [2734, 5132], [428, 1040], [9049, 10894], [5126, 5965], [3653, 10542], [2075, 9633], [3412, 8201], [53, 4546], [2417, 6364], [9472, 10438], [10566, 11500], [2495, 11158], [874, 7169], [4635, 10989], [5879, 6360], [7348, 10709], [2279, 6780], [1959, 7364], [343, 3719], [6341, 8111], [8082, 10704], [1519, 10475], [5290, 9348], [238, 8806], [3316, 9967], [1475, 7924], [8735, 8990], [6832, 7567], [1267, 10604], [1596, 2966], [2075, 8828], [8947, 9812], [7271, 8368], [1072, 10136], [982, 7210], [2847, 5143], [5051, 9712], [3428, 10558], [6363, 9159], [102, 3633], [3806, 7700], [2622, 5964], [62, 70], [510, 10783], [2869, 5841], [5472, 7675], [4954, 6746], [752, 10316], [52, 2765], [2457, 4584], [2636, 6801], [8280, 10638], [2301, 9706], [6525, 9867], [673, 8710], [2447, 3115], [1417, 9393], [1052, 4542], [8520, 10475], [4473, 5288], [6090, 10289], [4366, 4667], [4144, 6540], [2342, 5923], [2032, 11359], [4525, 8861], [566, 10691], [5802, 7378], [950, 1232], [3556, 8999], [3396, 5334], [779, 5322], [197, 6098], [4328, 5314], [3997, 6463], [7229, 10720], [8004, 10716], [3358, 5200], [8839, 11517], [1238, 3742], [2046, 8382], [1079, 9347], [4157, 9754], [2070, 6524], [210, 267], [5345, 8199], [3354, 11093], [4412, 7994], [2194, 5247], [2849, 7393], [4651, 7229], [7574, 10731], [793, 2695], [6739, 6897], [1438, 9815], [2221, 7043], [1226, 5960], [3903, 6023], [3118, 7968], [410, 6340], [6191, 8785], [3990, 8651], [3264, 7793], [5607, 8734], [4449, 5967], [8554, 10378], [3490, 6793], [2549, 8979], [5570, 9606], [3397, 4350], [7244, 10223], [3137, 9149], [9090, 11112], [3949, 4863], [4384, 11207], [1031, 1705], [10027, 11436], [6622, 8190], [10295, 10692], [1177, 4913], [2820, 11135], [260, 5241], [2422, 3892], [3662, 8189], [1816, 8054], [3373, 8086], [7979, 10793], [3758, 8651], [4684, 5433], [1203, 3101], [2010, 9051], [3928, 5864], [3371, 8390], [9131, 9958], [7730, 10439], [2208, 10914], [255, 10882], [2901, 9380], [2390, 10396], [5237, 9150], [5533, 5536], [524, 5822], [6625, 7683], [926, 3358], [184, 9137], [2708, 5952], [1276, 11284], [3533, 8317], [552, 8220], [5435, 9515], [581, 2542], [6401, 8325], [1379, 4242], [5310, 7534], [764, 5632], [7383, 8422], [1000, 1213], [4900, 9356], [6180, 6636], [3181, 10494], [3551, 9273], [7535, 9193], [7077, 8315], [31, 4734], [6039, 6404], [2113, 6839], [6282, 6539], [4203, 7334], [7004, 9907], [1431, 10417], [836, 6824], [3451, 6009], [276, 7167], [3103, 4545], [9455, 10189], [5128, 6897], [649, 3965], [2144, 3119], [6345, 7992], [1579, 3872], [1391, 10237], [5909, 10845], [5685, 8885], [2440, 9304], [1767, 6552], [1822, 10423], [5908, 10620], [3873, 7580], [8107, 8429], [25, 10904], [2291, 9181], [2726, 9109], [422, 926], [9790, 10263], [79, 3970], [2276, 7368], [9662, 11017], [6104, 6775], [5703, 6431], [3127, 6420], [5768, 10990], [7504, 9075], [1993, 8211], [1026, 5012], [3524, 3612], [320, 10448], [3326, 9289], [1831, 3719], [5261, 8715], [1123, 8328], [259, 6008], [3898, 9680], [1651, 8447], [3948, 9043], [1031, 8739], [3043, 10105], [8053, 10421], [3879, 7344], [200, 10689], [4159, 9613], [2354, 9479], [365, 6784], [263, 8759], [4989, 9316], [1286, 8857], [5484, 7043], [8233, 9426], [3651, 11277], [10246, 10263], [2751, 2884], [6908, 8239], [2835, 8247], [1002, 6065], [1003, 6667], [3851, 4922], [5597, 7859], [4358, 6416], [5071, 5534], [3918, 9527], [5131, 5585], [8959, 11408], [3142, 3644], [4726, 7751], [6276, 7366], [5526, 6114], [9199, 10868], [2598, 7903], [6930, 9287], [2073, 2797], [10815, 11480], [1567, 11327], [545, 1251], [1767, 11358], [348, 4120], [5523, 9199], [392, 10054], [3759, 11318], [294, 7267], [3116, 4301], [8630, 8846], [3155, 9891], [321, 11342], [4457, 9404], [10126, 10854], [10659, 11317], [6140, 11238], [2840, 7786], [2212, 8217], [7008, 10267], [243, 512], [4418, 5662], [378, 6564], [4569, 5831], [3762, 4045], [4379, 9871], [2739, 7330], [270, 1554], [609, 1020], [2145, 7345], [144, 9551], [8829, 9032], [513, 4695], [2632, 3676], [9672, 9694], [3647, 6165], [2747, 4188], [5470, 11012], [7356, 10576], [4083, 8947], [2071, 10964], [6734, 7789], [6257, 8389], [416, 11528], [8654, 9566], [1956, 3285], [4669, 5257], [904, 8084], [3328, 9953], [7161, 9704], [10337, 11400], [432, 1858], [774, 5759], [2947, 3845], [3640, 8727], [6190, 6763], [9025, 10418], [5997, 9374], [242, 8150], [2707, 8522], [584, 5635], [5136, 10735], [1914, 6442], [2268, 7694], [1575, 2812], [7486, 8713], [6935, 11054], [1923, 7659], [5968, 7855], [7683, 9227], [362, 3721], [1573, 9532], [1785, 7725], [8052, 10787], [2663, 10852], [2041, 8819], [5279, 7229], [5341, 8107], [1664, 6617], [4305, 7023], [855, 4004], [9900, 10244], [1254, 7685], [2532, 2640], [3297, 10616], [8310, 10449], [1679, 6144], [3145, 3779], [3761, 5997], [6223, 8350], [1370, 11401], [4906, 7024], [770, 1048], [3687, 6987], [7709, 9643], [985, 2141], [2282, 6972], [7273, 10244], [4183, 7568], [4462, 6983], [5683, 7066], [5019, 7840], [1966, 8429], [5207, 10520], [4961, 7835], [6893, 6990], [5394, 10346], [1196, 3492], [7725, 9772], [1094, 5467], [1496, 7167], [2865, 10154], [1925, 2362], [7900, 11466], [1938, 6731], [5314, 11521], [7156, 7750], [6337, 10865], [936, 4477], [1337, 2569], [9078, 9223], [4568, 6978], [3317, 7430], [4818, 10536], [2757, 6275], [5752, 11343], [2481, 6377], [8016, 9547], [7512, 8324], [2653, 5171], [4213, 5474], [5240, 8724], [7415, 8391], [5892, 7189], [1539, 2676], [5489, 9428], [3304, 9827], [888, 1403], [1127, 10087], [1839, 5597], [690, 4047], [4353, 8113], [3735, 9232], [2250, 4350], [3869, 5260], [2685, 4278], [6654, 8828], [743, 7064], [1333, 8061], [1892, 5581], [2234, 8728], [3951, 6763], [2230, 4822], [5807, 7616], [6675, 10055], [3163, 6158], [2201, 3303], [8236, 10960], [4535, 7164], [194, 5694], [4378, 6426], [3158, 9197], [4930, 6939], [1629, 4016], [1787, 4602], [99, 5807], [6948, 11503], [3930, 4731], [654, 10001], [7321, 10553], [9993, 10272], [8198, 10826], [7472, 8470], [226, 4047], [5627, 11189], [1098, 11146], [1685, 7708], [7227, 7885], [962, 11285], [4415, 11569], [22, 9909], [2008, 5890], [9860, 11032], [2880, 5819], [677, 4858], [4157, 6965], [6388, 9193], [1964, 5968], [1292, 10234], [5414, 5954], [62, 11536], [3341, 10701], [6448, 9594], [1749, 10860], [130, 3534], [4550, 7017], [4170, 7550], [8684, 9914], [2144, 11389], [1213, 1431], [2049, 8119], [6567, 8727], [8484, 9102], [5844, 11550], [77, 2395], [6439, 9481], [2758, 9747], [4033, 7437], [3757, 5287], [2198, 8592], [6864, 11350], [259, 1096], [4873, 7828], [1914, 2417], [2197, 4957], [3597, 11421], [2322, 3151], [3375, 6124], [5763, 8336], [7325, 9466], [9628, 11008], [2811, 3315], [194, 7467], [6360, 9723], [1711, 3936], [1031, 4177], [313, 8098], [3794, 4014], [7307, 10765], [5318, 8070], [1617, 2022], [6188, 7926], [4501, 4815], [612, 11548], [4595, 8614], [582, 759], [5155, 6736], [139, 6605], [4521, 9604], [3196, 6135], [6730, 7347], [5142, 5750], [6824, 6982], [2627, 9398], [9377, 9453], [2790, 11082], [3463, 7418], [1565, 7093], [3898, 7346], [9847, 11065], [3063, 3512], [9193, 10275], [9131, 9397], [4107, 10903], [3372, 11437], [6006, 8420], [4892, 11587], [3392, 5673], [7998, 8380], [377, 8998], [3297, 5786], [8243, 10813], [6531, 6706], [609, 646], [2890, 7125], [1398, 5236], [1644, 2259], [1642, 5596], [7829, 8729], [917, 8346], [6001, 7645], [3341, 10969], [8323, 9237], [1191, 10800], [3412, 6648], [6478, 9704], [8189, 9422], [2067, 7438], [1659, 9333], [157, 9008], [2583, 6042], [5332, 7671], [3302, 4975], [4267, 7347], [8193, 10295], [3455, 5971], [67, 6082], [3150, 5335], [7415, 7749], [1899, 2377], [428, 1365], [10398, 11302], [4882, 5930], [3084, 6967], [4665, 8147], [10148, 10373], [1986, 4251], [1189, 10323], [7997, 9602], [3946, 5427], [4032, 10863], [2208, 6515], [1358, 8065], [525, 8064], [62, 6088], [4658, 8107], [10638, 11139], [6744, 6948], [7805, 9782], [1293, 6889], [3154, 8086], [638, 8126], [1328, 2911], [7138, 8006], [2437, 8445], [7258, 8108], [7416, 9448], [6264, 10633], [6114, 6902], [2836, 11345], [2832, 8193], [4549, 10392], [2703, 3087], [674, 3999], [966, 7783], [6842, 7082], [8622, 8849], [6197, 9007], [3447, 7153], [2449, 8805], [3101, 6516], [4878, 11018], [9384, 10111], [6767, 7847], [7548, 8412], [2880, 4827], [1606, 10745], [349, 7218], [569, 3020], [4464, 6655], [3686, 9771], [8564, 10722], [3280, 9083], [224, 5991], [2715, 9082], [4329, 10402], [4198, 4469], [4607, 9592], [3013, 3262], [1151, 2594], [4043, 6783], [1030, 4519], [3256, 6403], [5093, 8704], [8957, 10774], [3666, 7964], [1085, 7609], [1584, 9242], [10763, 11510], [3196, 8981], [2570, 6075], [5935, 10676], [2133, 6074], [7717, 9106], [398, 4427], [618, 8897], [5054, 6497], [3973, 5640], [117, 4185], [3527, 7805], [1949, 6896], [760, 4816], [913, 5058], [414, 4179], [1221, 2959], [290, 5833], [4925, 7026], [257, 3441], [7046, 9840], [1223, 9421], [2152, 10638], [1637, 8472], [2213, 7127], [6175, 9732], [8183, 10225], [6041, 9917], [10543, 11520], [2570, 8303], [5947, 10255], [4507, 8556], [3664, 7113], [873, 5982], [4758, 5923], [4107, 11066], [9165, 9918], [2508, 10808], [6830, 7340], [8170, 8835], [1138, 3432], [3763, 10475], [5776, 11312], [2934, 6486], [396, 2795], [3632, 4542], [6899, 8608], [4492, 9372], [3434, 4557], [2379, 4921], [5529, 7648], [8320, 9533], [5732, 8007], [632, 8929], [2678, 5742], [1497, 7687], [4401, 6975], [3248, 10968], [6302, 7571], [8095, 10354], [1185, 5880], [8662, 9647], [1028, 5896], [5952, 7192], [3928, 7694], [7818, 10985], [11226, 11526], [4195, 8977], [4735, 6447], [3481, 3972], [3788, 10316], [4967, 5292], [4787, 10020], [5059, 8264], [6753, 11011], [7894, 9667], [2042, 10762], [3687, 7231], [9196, 11432], [4242, 5009], [5375, 9409], [7149, 7978], [6079, 8064], [10726, 10772], [2351, 9238], [1126, 10911], [1411, 1446], [2493, 11573], [9509, 10027], [6419, 7351], [2781, 11451], [3216, 11379], [7602, 9616], [5071, 8624], [2650, 6272], [1373, 8509], [5879, 6848], [4757, 5990], [3573, 8418], [2931, 4979], [7903, 9729], [1886, 6061], [6619, 10795], [7302, 7819], [331, 10239], [866, 7365], [1136, 11198], [3543, 7428], [273, 9480], [2477, 9885], [2138, 4003], [2194, 10728], [11153, 11532], [4377, 10256], [3682, 9465], [6739, 8995], [3692, 3737], [3616, 11097], [498, 10537], [7067, 8302], [314, 2314], [4826, 11021], [3427, 5159], [10519, 10613], [3139, 7910], [7125, 8657], [2147, 6344], [6042, 7727], [4048, 4688], [3353, 6149], [2673, 6390], [1049, 2130], [1054, 2474], [4106, 8830], [1616, 10091], [1700, 2622], [245, 9660], [3574, 8188], [3135, 11524], [50, 2776], [2663, 5298], [1875, 4316], [1412, 2340], [2564, 10954], [3314, 9954], [9470, 11522], [1070, 6740], [918, 9352], [6109, 7794], [469, 4830], [5921, 8497], [322, 1370], [4730, 9754], [2206, 3517], [2049, 5785], [1219, 9465], [9144, 9258], [5792, 9026], [5100, 5500], [2713, 8394], [3821, 6910], [3628, 7269], [343, 2597], [675, 11472], [491, 2495], [4534, 6028], [4045, 10001], [9298, 10075], [1972, 4225], [5065, 5664], [6679, 6984], [1321, 9368], [2162, 9984], [6936, 7549], [1785, 7782], [3978, 11408], [10385, 11097], [299, 9091], [5827, 11090], [2128, 10750], [7135, 7385], [2498, 3867], [4805, 5151], [9712, 10250], [3698, 4601], [336, 4435], [6098, 6830], [3057, 4770], [2432, 8882], [4225, 7501], [3301, 5130], [1062, 7922], [5869, 10161], [7208, 8021], [2819, 3851], [9613, 10594], [6399, 10326], [5833, 7471], [1041, 5540], [5526, 10172], [10008, 10369], [7673, 7791], [2982, 8918], [6394, 9201], [8352, 9577], [1538, 9729], [2689, 4909], [13, 7700], [6357, 7067], [4557, 7277], [1873, 6043], [6792, 6995], [1163, 7573], [719, 4149], [1431, 1911], [1871, 8599], [873, 3835], [4166, 6116], [6655, 6882], [10760, 11293], [144, 427], [7986, 11297], [3235, 5957], [4998, 5865], [622, 6818], [8209, 9999], [4305, 5120], [4936, 8370], [1046, 5833], [3776, 8940], [980, 7465], [1319, 6931], [1221, 3390], [792, 7414], [3464, 7133], [4398, 4530], [3754, 10844], [3064, 10397], [757, 2697], [4872, 7796], [3998, 4788], [1247, 1578], [8225, 10882], [1212, 3277], [654, 10863], [1220, 3138], [5115, 10937], [5418, 7740], [2343, 6850], [7873, 9676], [784, 3739], [3143, 5213], [751, 7763], [5670, 8715], [4424, 10265], [3142, 5742], [406, 1312], [5156, 9433], [1605, 6362], [2926, 3643], [4968, 9382], [398, 7086], [6616, 9532], [2610, 5100], [1386, 10381], [820, 5274], [6124, 6791], [3536, 5265], [2192, 5526], [2039, 3032], [397, 6834], [2870, 2960], [2221, 4766], [7549, 10087], [6541, 11051], [2623, 7964], [1174, 9909], [761, 11460], [2788, 4059], [3676, 4521], [386, 5921], [102, 6162], [6361, 9363], [817, 8359], [3952, 10054], [3241, 3812], [10056, 11432], [1193, 11090], [5818, 10841], [8715, 8958], [1284, 4038], [3997, 6764], [7595, 9681], [4487, 9809], [380, 4571], [251, 2471], [7513, 10780], [4234, 5953], [7415, 7993], [1529, 3842], [906, 3863], [1002, 10741], [7253, 9163], [839, 2641], [6999, 8115], [217, 608], [4605, 10969], [8301, 11011], [6990, 7248], [3669, 7083], [78, 449], [2317, 6702], [2327, 11554], [7857, 10216], [4058, 9295], [3034, 3310], [4806, 7468], [1542, 7837], [208, 3124], [731, 5151], [2200, 9500], [8143, 10021], [2350, 6061], [4583, 9116], [2413, 10547], [9598, 9776], [4433, 6139], [10438, 10921], [8124, 8466], [5973, 7695], [6420, 9138], [904, 3766], [4916, 5734], [1304, 11055], [10950, 11254], [3694, 4645], [8148, 9210], [772, 3997], [6936, 9590], [5057, 7063], [11034, 11332], [3198, 10076], [2653, 5846], [2971, 4435], [3124, 7683], [4533, 5565], [5155, 10981], [5031, 9225], [77, 2802], [6763, 7568], [3098, 9845], [9507, 9607], [2592, 11205], [5985, 11438], [3435, 6232], [2163, 8813], [2461, 6026], [38, 9263], [3190, 6401], [4419, 7156], [1714, 11461], [7047, 10710], [1464, 4116], [1899, 4044], [10646, 10819], [11112, 11558], [3149, 9029], [7215, 7850], [4324, 7269], [5414, 8589], [1672, 1786], [3824, 5411], [6287, 11372], [703, 5307], [2382, 7022], [1236, 1606], [6745, 9971], [492, 10722], [9502, 11491], [5625, 9159], [109, 3787], [5279, 8522], [7815, 8380], [4686, 10637], [230, 5245], [2212, 10933], [1715, 3711], [1601, 6807], [5018, 7434], [434, 2042], [7013, 11075], [1562, 6098], [965, 1678], [373, 8182], [39, 9060], [8333, 10413], [4720, 6464], [3017, 9990], [7647, 10839], [6652, 11254], [4943, 5166], [795, 4091], [3723, 7937], [3315, 6422], [4503, 8277], [454, 7181], [1975, 7556], [5648, 10058], [3093, 4508], [8359, 8951], [4061, 4899], [845, 3804], [9277, 11507], [5273, 7148], [3484, 7547], [648, 6673], [904, 4384], [1879, 7444], [5172, 10479], [6101, 6778], [3823, 10396], [9805, 10845], [2776, 9123], [2174, 10775], [7683, 8560], [2017, 6627], [2213, 3533], [5533, 10643], [8432, 9587], [4841, 7117], [2351, 2716], [4097, 5653], [3787, 11089], [3350, 8082], [3625, 5843], [6123, 8607], [1603, 7926], [458, 9528], [2005, 4708], [7555, 9664], [2634, 5633], [4895, 10736], [361, 3179], [478, 4518], [2434, 11237], [3093, 3703], [1814, 2861], [1411, 8106], [7512, 9967], [72, 6459], [5576, 10316], [162, 8604], [649, 8722], [3214, 8544], [6683, 9361], [8599, 10235], [4143, 4843], [4640, 5649], [337, 6915], [65, 2255], [3735, 7492], [8437, 9907], [1930, 7358], [125, 9476], [2704, 6752], [6620, 8258], [5995, 8206], [6220, 10768], [4635, 8688], [3233, 3309], [3516, 11511], [3727, 10233], [4596, 5727], [7698, 11446], [7204, 10911], [8978, 9480], [886, 1845], [887, 11115], [1453, 3390], [8235, 8618], [986, 11094], [1535, 5674], [5934, 10532], [2402, 5259], [1068, 6962], [7174, 9167], [8194, 11246], [546, 7789], [2248, 4792], [9493, 11242], [5138, 5902], [623, 9729], [10024, 10878], [4382, 7087], [7974, 10913], [842, 7558], [2994, 5521], [2578, 3391], [2581, 3662], [6727, 8074], [5918, 6215], [10892, 11038], [18, 8050], [10084, 11279], [1746, 9627], [4348, 8607], [2295, 4207], [245, 3488], [7774, 9697], [1133, 3950], [5802, 11143], [5179, 5502], [598, 3791], [2192, 2924], [2522, 5310], [2897, 4433], [1627, 7841], [5484, 5734], [4737, 4753], [1691, 8765], [504, 7512], [3859, 6507], [3403, 6456], [4291, 6918], [4583, 10702], [1865, 9884], [3521, 10649], [472, 7974], [2554, 4444], [472, 1558], [7430, 8732], [1645, 11049], [6440, 10245], [4191, 5933], [4982, 7186], [5720, 11087], [4080, 9300], [9173, 11371], [2113, 10336], [549, 6881], [8983, 11247], [3496, 8525], [4555, 10532], [76, 7600], [2632, 9588], [1622, 3309], [4094, 6350], [1283, 3843], [76, 10983], [632, 2570], [2527, 11265], [3826, 10507], [5, 9238], [273, 9992], [2988, 7129], [7029, 7583], [3639, 4615], [1366, 5167], [5285, 10354], [242, 7646], [330, 3329], [1422, 5476], [4839, 6103], [1394, 10598], [2977, 5435], [5559, 6392], [1457, 1498], [5870, 10226], [1321, 2391], [326, 9976], [766, 7242], [6275, 11443], [635, 4315], [1077, 5414], [7073, 8979], [4681, 11529], [6, 10937], [1869, 2381], [6700, 7650], [1652, 3844], [98, 7493], [2498, 9722], [6512, 7599], [8222, 10879], [10056, 10253], [6131, 10159], [2238, 7324], [2515, 10076], [741, 5091], [8429, 9078], [1541, 9089], [3449, 3686], [5037, 10201], [2351, 8140], [391, 10347], [3353, 7361], [2849, 3132], [5028, 5170], [4718, 10606], [9625, 10043], [1851, 7413], [756, 4968], [2530, 3537], [5582, 9893], [10157, 10281], [1439, 2746], [377, 6103], [6101, 8014], [6882, 8579], [1397, 2520], [2809, 6335], [8743, 9022], [620, 9244], [4203, 8066], [1338, 8706], [7268, 8241], [5191, 5699], [8298, 11008], [3319, 3589], [7589, 10511], [7080, 8190], [7582, 9340], [987, 11108], [3870, 11047], [2060, 4153], [4367, 5437], [10531, 11030], [1192, 4343], [11, 7042], [2277, 5319], [919, 8880], [3161, 3353], [6726, 10294], [1258, 6094], [630, 8777], [2226, 8737], [1161, 1997], [2155, 10025], [307, 395], [5203, 6059], [8303, 8699], [5104, 9463], [66, 683], [8458, 8987], [922, 1607], [6596, 8319], [56, 3378], [5066, 9329], [6675, 9551], [6406, 11578], [9849, 10420], [1077, 6032], [2403, 10103], [815, 7752], [2401, 9276], [2807, 7712], [281, 7818], [5482, 6948], [2188, 5196], [4884, 9473], [2019, 9359], [2769, 4195], [5004, 8077], [1394, 3645], [8370, 9116], [4108, 6219], [6415, 7503], [3237, 3482], [1047, 2783], [6466, 8222], [5566, 6245], [8052, 9746], [5970, 11024], [6844, 7616], [8652, 11431], [146, 1335], [6061, 10388], [3315, 8276], [2358, 3513], [168, 2814], [6303, 9921], [2046, 8122], [1418, 8553], [236, 1228], [2852, 3267], [4182, 11244], [2991, 6085], [3376, 5896], [6015, 10393], [5113, 5337], [4324, 10546], [1719, 5633], [2933, 8709], [5818, 9475], [1124, 7675], [1425, 8569], [3018, 4094], [2806, 6655], [4363, 6687], [3976, 6049], [3168, 10454], [8462, 11283], [1368, 5002], [4480, 10655], [3602, 10911], [5164, 11287], [2131, 3483], [121, 2163], [1332, 1558], [5595, 7309], [3809, 7225], [4561, 7052], [3435, 8704], [6759, 6888], [11152, 11177], [8127, 9650], [571, 9165], [1459, 9627], [688, 3334], [6758, 10046], [500, 10453], [2732, 3484], [4705, 5646], [2523, 9726], [847, 8282], [114, 10417], [3235, 8242], [2650, 5337], [897, 1229], [4699, 5831], [3577, 11389], [9872, 10083], [7346, 9435], [901, 1348], [6100, 10985], [1366, 9786], [9256, 10524], [6561, 9101], [6432, 11165], [8271, 10129], [477, 1959], [2748, 6969], [5709, 6791], [5636, 11416], [2207, 3612], [2468, 8083], [7910, 11062], [5448, 5703], [8063, 11304], [2146, 5588], [220, 963], [3149, 7663], [3641, 8125], [8271, 8974], [1426, 3397], [1871, 10429], [1021, 5563], [6129, 9420], [5876, 11226], [176, 3293], [6970, 10036], [983, 2827], [7304, 9158], [956, 10803], [5001, 7993], [5393, 11257], [1914, 3336], [10291, 11332], [389, 7723], [3009, 11416], [2257, 10091], [8659, 8682], [9562, 10176], [7233, 10796], [2875, 5939], [2279, 4373], [1286, 6369], [6599, 10658], [5797, 9216], [873, 4510], [2435, 4886], [6036, 11484], [177, 9910], [7054, 11238], [6997, 10704], [3733, 6909], [8060, 10201], [5687, 10549], [3548, 11293], [3137, 9507], [2333, 7992], [7176, 9888], [2384, 10209], [6780, 9134], [9918, 10346], [4531, 7828], [4001, 11046], [8108, 9868], [6124, 8271], [2358, 3326], [456, 2505], [6653, 7080], [4091, 4523], [4086, 4179], [261, 2037], [7641, 8123], [1381, 5451], [4511, 6802], [3991, 4292], [5300, 7228], [7478, 9822], [2066, 8937], [4886, 11560], [8943, 11019], [1459, 3829], [2675, 6951], [2262, 11508], [2957, 5883], [3597, 6997], [840, 11112], [2628, 7135], [3567, 8286], [6588, 8159], [1101, 2027], [333, 6585], [336, 10266], [6616, 7174], [2321, 2639], [6832, 7738], [10750, 10825], [3165, 6936], [1909, 10050], [6520, 10849], [6736, 11413], [8443, 8760], [198, 7299], [4833, 7738], [4518, 8666], [6297, 8333], [4979, 7563], [1288, 8619], [4079, 5586], [7074, 11408], [8965, 10562], [4514, 5514], [5086, 11567], [9876, 10419], [4668, 9364], [8506, 9459], [10469, 10933], [99, 9922], [686, 822], [6064, 7758], [364, 4743], [3765, 11253], [2141, 9245], [5315, 10114], [3639, 5664], [8649, 8986], [1020, 9743], [1245, 8141], [3640, 9272], [2293, 5852], [4355, 11469], [2201, 6263], [425, 11031], [2784, 6089], [1020, 6710], [5992, 6542], [6497, 11373], [451, 9219], [3288, 11449], [1268, 9441], [10440, 11292], [2875, 3174], [4153, 10207], [2398, 3020], [823, 8044], [3753, 6301], [1817, 9656], [5385, 8200], [1589, 4544], [3987, 5192], [1834, 7758], [268, 3476], [4501, 6352], [7302, 8925], [2267, 10242], [5312, 9011], [5432, 6861], [4680, 5536], [4221, 10849], [2282, 7517], [1536, 2974], [170, 258], [8669, 9183], [3313, 5978], [2368, 6510], [4805, 11250], [6259, 10403], [5734, 7549], [3120, 4802], [3211, 11336], [4142, 8462], [1750, 11012], [253, 8779], [4735, 8976], [2677, 4232], [7159, 9347], [3630, 10007], [2122, 9837], [4949, 6461], [128, 6798], [8278, 9153], [3985, 11107], [4596, 8817], [1151, 6896], [3948, 5563], [7585, 7654], [360, 2610], [5239, 6415], [2188, 3667], [3378, 8601], [2848, 5403], [4188, 7652], [5735, 6996], [2004, 10905], [4986, 5188], [4063, 5671], [9441, 11109], [4742, 5959], [2185, 10162], [1280, 7841], [1688, 3694], [6908, 7792], [9813, 9934], [1812, 11085], [5922, 9424], [208, 4067], [7776, 9450], [4481, 10506], [4199, 5158], [10324, 11577], [300, 623], [361, 7692], [2267, 8632], [1071, 3129], [169, 10905], [4286, 11169], [2531, 6234], [1134, 1199], [79, 1563], [237, 9319], [7396, 10333], [74, 11018], [4217, 5333], [3379, 4988], [1314, 9653], [8777, 11078], [446, 3427], [1272, 3011], [788, 7328], [4520, 6273], [3856, 7047], [5576, 8763], [9490, 10196], [156, 3853], [5847, 9788], [897, 7271], [2948, 4428], [5568, 8121], [8360, 8696], [521, 1507], [861, 1575], [5279, 7237], [1115, 5629], [234, 7866], [5251, 9353], [2942, 7242], [2001, 3012], [5751, 9676], [2009, 9289], [2164, 4696], [8734, 10977], [7295, 8722], [6149, 7470], [3349, 8505], [5429, 10564], [3218, 3326], [919, 1903], [7318, 7393], [2316, 4686], [8565, 8697], [5819, 10749], [619, 7303], [1245, 6799], [10248, 11285], [971, 5476], [7595, 9364], [3108, 8069], [60, 9002], [5015, 5447], [5016, 9055], [8123, 8702], [4575, 9312], [10137, 10141], [3067, 8418], [1800, 11343], [6603, 7424], [3096, 3871], [4427, 10538], [382, 10342], [2966, 7962], [4241, 5652], [5610, 6387], [3922, 6838], [2955, 3639], [3684, 7424], [2898, 3105], [9814, 10023], [2805, 6324], [845, 2869], [3962, 9620], [7969, 10490], [782, 1766], [2404, 9363], [1248, 3259], [4388, 5298], [6215, 6911], [5201, 8030], [800, 2345], [4971, 8507], [5446, 10463], [7495, 10957], [1320, 6703], [7925, 10541], [1416, 7165], [237, 9937], [3719, 8707], [3528, 4975], [7516, 8801], [4902, 6808], [1975, 5816], [3867, 8578], [4304, 8579], [1902, 4025], [809, 8823], [1550, 9235], [4012, 8178], [414, 5261], [2497, 11001], [1611, 6478], [1016, 2885], [8560, 10126], [1924, 4723], [1299, 4671], [29, 1663], [4292, 7414], [3762, 4216], [6243, 7373], [8242, 8504], [2509, 11011], [3419, 7260], [4441, 10920], [4690, 7460], [4972, 10556], [5655, 10586], [3604, 7013], [701, 10579], [6140, 6871], [6093, 7025], [11258, 11416], [1076, 9702], [1446, 2065], [5623, 8796], [1920, 8337], [8857, 9716], [5206, 9447], [1761, 6772], [5649, 6984], [3211, 9189], [4188, 6660], [3426, 3893], [4306, 10853], [1751, 9467], [2084, 11370], [3766, 10350], [5168, 7061], [5163, 6717], [4567, 5151], [957, 11299], [2445, 2866], [5569, 10788], [6159, 7621], [170, 339], [2162, 6715], [3915, 4407], [205, 9193], [5970, 8853], [2317, 7003], [51, 5720], [9204, 9773], [5183, 9971], [3445, 11059], [4617, 4864], [1852, 2702], [3156, 4540], [1125, 2373], [3184, 9971], [2807, 7769], [4925, 6148], [250, 8562], [3527, 10310], [3360, 5474], [7969, 11108], [751, 9487], [274, 10087], [6665, 8489], [2902, 7225], [2675, 8000], [2398, 9412], [5168, 6256], [4542, 9766], [2138, 4385], [7375, 10342], [5720, 6769], [1697, 3888], [2605, 6480], [6178, 11030], [5688, 10614], [6712, 8685], [7949, 9301], [1135, 5289], [6799, 7149], [7790, 8490], [3989, 10906], [1785, 7091], [1007, 6043], [9726, 10770], [9031, 9979], [1937, 3698], [9476, 10595], [2155, 11505], [541, 1517], [5015, 7488], [4516, 10773], [7759, 9527], [4232, 4598], [1274, 10709], [959, 2969], [3822, 6420], [2951, 9345], [4329, 7914], [8216, 10934], [688, 7579], [8685, 9692], [7097, 7341], [2640, 8894], [5320, 8474], [868, 9617], [4497, 8437], [4461, 5774], [4906, 6390], [7553, 8496], [4463, 5820], [6462, 6951], [1606, 10485], [8109, 9882], [3745, 6708], [2274, 5696], [97, 10120], [319, 2585], [2185, 3372], [9060, 11043], [147, 6450], [7321, 8496], [3885, 9347], [5067, 10256], [373, 5450], [2572, 5511], [5975, 6432], [2241, 10070], [7122, 8286], [3049, 8294], [2041, 9258], [3253, 11507], [8077, 9189], [383, 5387], [3154, 9249], [7646, 10134], [5278, 10826], [5586, 8727], [4782, 7212], [2351, 4172], [4087, 6421], [4496, 10790], [1719, 7113], [6416, 9184], [531, 7887], [1835, 8227], [4204, 10389], [663, 1590], [2772, 8551], [5601, 10139], [5718, 10724], [926, 5383], [1301, 4506], [2072, 4383], [7317, 10201], [9301, 10300], [459, 6671], [1992, 2145], [669, 7447], [6276, 8773], [4132, 9173], [4973, 9789], [5193, 11253], [388, 1543], [4475, 8758], [5055, 11319], [738, 3053], [3532, 10117], [4776, 5488], [5798, 9148], [1011, 10567], [2663, 7453], [6018, 7202], [2126, 3838], [1730, 7248], [2162, 3495], [973, 1415], [6991, 7937], [8445, 10500], [720, 969], [6464, 8420], [6977, 9759], [516, 7555], [2588, 5589], [414, 9530], [5025, 10329], [6298, 6438], [5582, 11186], [2676, 4655], [2030, 3726], [5925, 11525], [1906, 6134], [39, 4368], [2055, 5476], [286, 4999], [5693, 8923], [3291, 5867], [5871, 6751], [3692, 10348], [5906, 6183], [7606, 8775], [4293, 8471], [295, 4711], [4031, 10945], [3074, 8434], [2542, 8573], [9722, 10464], [388, 4121], [3065, 4184], [599, 8505], [196, 918], [4022, 5914], [1097, 5749], [1227, 11457], [1805, 4523], [254, 7689], [7938, 10803], [4695, 5633], [11107, 11328], [2339, 3676], [59, 7221], [11239, 11447], [7648, 11229], [10213, 11051], [464, 2022], [7711, 9299], [6568, 7564], [7364, 8437], [6462, 9797], [925, 3548], [6642, 8452], [2132, 6207], [3849, 4242], [4749, 6219], [2099, 3815], [3116, 7131], [4005, 4755], [5058, 6974], [4187, 10653], [8596, 9059], [541, 6941], [1148, 7915], [1642, 2034], [2206, 4062], [2216, 5504], [3233, 8066], [4893, 5567], [7065, 10598], [281, 3045], [6681, 7225], [5724, 8878], [2663, 4688], [3514, 10910], [1236, 10364], [28, 8234], [4694, 10992], [1950, 2537], [6470, 10388], [1914, 7044], [174, 889], [974, 5668], [1395, 1726], [1451, 9205], [6709, 9623], [675, 2568], [12, 6196], [764, 1859], [3038, 11331], [1968, 10663], [2281, 8908], [1849, 9251], [7363, 7380], [1226, 3610], [4894, 7266], [6236, 10342], [1570, 3420], [5584, 8467], [1313, 5484], [1681, 4190], [4860, 5403], [2406, 7075], [7910, 10932], [6915, 9095], [341, 5324], [1055, 3913], [5069, 8960], [1707, 8794], [6432, 6497], [2114, 10084], [932, 2759], [1076, 1757], [81, 7090], [251, 5781], [1325, 2461], [1025, 9339], [6312, 8243], [2757, 7682], [9952, 10605], [2204, 9196], [2139, 2385], [8322, 8782], [1111, 1162], [8359, 11293], [6821, 9059], [1877, 9740], [6359, 10691], [5, 8384], [535, 1002], [3798, 10988], [811, 9945], [3842, 11260], [1683, 6464], [5170, 5578], [9712, 9990], [7814, 9665], [2888, 5290], [1685, 3504], [4825, 5543], [871, 7717], [840, 8404], [2795, 2847], [563, 9816], [6999, 7237], [1369, 11377], [5753, 8787], [6405, 6498], [4262, 9752], [988, 5269], [2858, 10716], [6238, 11461], [6274, 11118], [1076, 10751], [8173, 10887], [1886, 9802], [5002, 7283], [451, 10699], [1627, 5377], [6365, 7449], [4056, 5338], [10408, 10982], [3648, 10239], [1337, 5049], [4091, 7776], [4984, 8582], [2582, 4028], [2003, 11491], [8095, 9102], [2892, 8391], [6634, 8778], [4201, 11327], [6787, 9020], [4113, 8474], [8033, 8224], [5107, 10086], [501, 7379], [2265, 5260], [7310, 8014], [273, 2267], [1360, 6322], [2327, 3105], [5069, 10733], [4790, 11318], [4439, 10337], [3069, 3715], [984, 10357], [5153, 6647], [3255, 3316], [5925, 9378], [6575, 10426], [8187, 10919], [1814, 4398], [1124, 6203], [4468, 9173], [3857, 6575], [5240, 5488], [6190, 6828], [2155, 3910], [7313, 11294], [1709, 10239], [4262, 7792], [3236, 7396], [3668, 7807], [123, 1518], [6043, 6751], [3085, 10610], [1583, 10285], [1763, 6688], [5839, 6197], [5689, 9636], [5186, 11267], [4570, 6043], [3687, 8207], [1954, 3223], [6861, 9076], [2597, 3100], [6826, 10021], [608, 1159], [2963, 5143], [977, 8381], [2090, 11405], [4655, 11227], [2303, 6036], [3113, 11503], [4369, 9143], [2099, 6206], [8809, 9114], [6223, 8415], [5051, 8948], [2498, 4225], [1097, 3952], [1243, 10193], [470, 7237], [8219, 11500], [1425, 3259], [1298, 6867], [579, 764], [3825, 10369], [557, 6832], [6131, 11428], [3906, 6012], [1349, 6805], [5251, 8605], [354, 4968], [2258, 9245], [1380, 3085], [478, 10861], [5232, 9302], [2645, 2716], [3648, 11207], [1367, 4728], [3266, 10913], [4078, 4375], [4138, 4426], [8215, 10953], [2585, 10929], [3444, 6489], [9330, 10640], [144, 785], [4137, 4955], [5221, 8739], [6528, 8596], [8885, 9243], [423, 9999], [513, 5728], [222, 2546], [2291, 10832], [7756, 9099], [2322, 5981], [4712, 6768], [7016, 7754], [5075, 8513], [977, 10154], [1996, 3717], [7097, 9813], [4388, 10966], [1124, 7171], [7438, 9325], [766, 2013], [1956, 7701], [6283, 10993], [5375, 7620], [7173, 10747], [141, 5344], [1163, 9004], [3040, 4288], [2598, 3943], [4196, 4730], [6923, 10572], [5706, 10608], [8539, 11184], [196, 9188], [3817, 11500], [440, 9548], [10098, 11262], [3308, 6146], [10092, 11447], [1468, 6957], [2607, 11202], [8801, 9090], [1860, 9467], [1459, 9123], [774, 9020], [1178, 8881], [1331, 9877], [5575, 11414], [7008, 9690], [2791, 9976], [5869, 11137], [2572, 11366], [6627, 9998], [3286, 3539], [7525, 11148], [3666, 10176], [3194, 10366], [5527, 10619], [4782, 6301], [866, 8959], [18, 756], [983, 3128], [2194, 8939], [5845, 9962], [4532, 9536], [2003, 5961], [6113, 10716], [5966, 11420], [7272, 7669], [10195, 11171], [3132, 6455], [2571, 8108], [1974, 10104], [7149, 8767], [5952, 6826], [1545, 7712], [666, 4360], [2687, 2806], [1873, 7019], [2160, 10459], [5233, 6358], [4899, 7236], [5678, 11138], [876, 5109], [1722, 10233], [4276, 11394], [4206, 4239], [6683, 9906], [3539, 3961], [6340, 6534], [10333, 10704], [1303, 7024], [2381, 10993], [4719, 7426], [8358, 11098], [4569, 10865], [2723, 4314], [5185, 6667], [4818, 5153], [5566, 9742], [9136, 10611], [9079, 10077], [550, 8857], [423, 1168], [3628, 10018], [2721, 11034], [4030, 6800], [2879, 5204], [601, 5412], [3705, 4788], [9723, 11310], [7357, 8665], [6698, 9783], [1999, 11049], [841, 1866], [1907, 5044], [9434, 10426], [3615, 5245], [932, 11029], [834, 4078], [8089, 11216], [4453, 9727], [7125, 9446], [1829, 8544], [987, 8457], [3299, 10085], [1766, 8195], [6621, 10852], [4353, 9496], [8274, 11346], [3166, 4079], [6653, 9609], [3888, 6693], [2076, 5388], [240, 10105], [3681, 8874], [3939, 7412], [4835, 7735], [201, 10150], [4903, 6149], [3658, 4137], [1569, 4244], [4616, 10256], [4836, 8310], [473, 3109], [2809, 9295], [5443, 6278], [7605, 11345], [1504, 3068], [5389, 9425], [1091, 5373], [2734, 6677], [4358, 8685], [4203, 11026], [3974, 5312], [1331, 4079], [4204, 8218], [3975, 8166], [7342, 9430], [895, 11096], [2297, 10059], [2139, 6467], [7128, 8158], [3135, 4742], [7467, 8378], [6219, 6849], [5467, 7022], [3042, 11344], [2442, 3243], [3868, 4512], [2634, 3413], [6056, 8548], [2699, 7972], [4303, 4440], [546, 6374], [8144, 8216], [3414, 10169], [6363, 8476], [2313, 4526], [5798, 6977], [786, 3582], [9562, 11095], [4273, 9112], [7110, 7178], [4711, 8557], [8260, 8549], [9272, 11521], [7167, 11095], [591, 5743], [4230, 5251], [3012, 8849], [2177, 11431], [5078, 7038], [9496, 9694], [6745, 11402], [86, 10711], [1342, 8351], [6039, 6258], [3078, 5682], [177, 10829], [3697, 5919], [1546, 11564], [780, 5615], [235, 1385], [1055, 1124], [10356, 11491], [8360, 8379], [454, 6384], [1023, 8756], [8117, 8621], [8337, 10839], [273, 1088], [5706, 6233], [7106, 8533], [9131, 10885], [7522, 8411], [2073, 4261], [5302, 11253], [1549, 11431], [3187, 10893], [6024, 8205], [6862, 9304], [6337, 6450], [5496, 11469], [5605, 5777], [1778, 3562], [1401, 7022], [93, 1278], [4800, 11207], [650, 8551], [2732, 5021], [1985, 10456], [7688, 11490], [1308, 7962], [1189, 6550], [2544, 2691], [3820, 9651], [186, 4071], [10361, 11030], [991, 9194], [1853, 4271], [2391, 11494], [1696, 6539], [3819, 9426], [7616, 9520], [2069, 8999], [2576, 11247], [9425, 10527], [4623, 10914], [6925, 9602], [4459, 9759], [2403, 5842], [4772, 8004], [3810, 9313], [1195, 2958], [231, 9856], [3309, 11017], [8510, 10901], [977, 7202], [537, 1268], [693, 8197], [3585, 3718], [472, 5754], [1841, 6489], [1908, 8465], [8506, 10378], [5, 4790], [6696, 9900], [6226, 7507], [871, 7156], [618, 2546], [9057, 11420], [3756, 7922], [1118, 7033], [1954, 7305], [180, 8736], [1515, 10641], [4044, 7800], [7304, 10695], [3259, 10499], [2951, 6182], [3322, 8569], [1266, 3898], [825, 6407], [1138, 4652], [5372, 5501], [3710, 7173], [4964, 10402], [2197, 7413], [5953, 10916], [3625, 4591], [1317, 10252], [2497, 10334], [3937, 9781], [3302, 9041], [9499, 10610], [3584, 5721], [190, 6017], [1069, 2953], [2024, 4637], [5568, 11455], [2896, 5320], [1249, 1608], [1493, 8384], [7126, 8679], [3918, 5193], [4933, 7682], [6970, 10768], [5962, 10978], [3720, 10843], [3092, 4104], [6648, 8273], [1070, 6187], [913, 7701], [3385, 11496], [7048, 9146], [5238, 7914], [7141, 8556], [3712, 6414], [4514, 11239], [156, 6382], [6159, 6954], [1584, 4314], [2733, 9247], [4954, 9259], [1869, 6927], [959, 4262], [314, 1306], [2392, 2538], [4759, 8037], [4841, 10321], [8549, 10343], [7840, 9846], [2293, 5161], [2272, 10700], [1355, 4612], [7273, 7520], [2220, 3370], [6392, 9757], [6863, 9342], [791, 5967], [4244, 6251], [5775, 7314], [5274, 9772], [2165, 7046], [6862, 9117], [1504, 7337], [1592, 7184], [5867, 10286], [2280, 7558], [7192, 10749], [4083, 4613], [2505, 3704], [3024, 8241], [4679, 8808], [5336, 7617], [1305, 7127], [2458, 3134], [1499, 10376], [1753, 5008], [1058, 10633], [4022, 9972], [4674, 5431], [2202, 2390], [8676, 8963], [535, 7825], [3042, 9197], [4005, 5080], [5659, 8428], [5633, 7207], [7436, 10678], [1056, 10156], [2921, 8089], [6739, 9060], [3511, 11338], [791, 1779], [4001, 4557], [2982, 5332], [6177, 7078], [6402, 9640], [8513, 11012], [3995, 4742], [1166, 4285], [3026, 4880], [3209, 7216], [5941, 10369], [6466, 6807], [7498, 11155], [1738, 3171], [617, 11583], [5362, 11416], [3019, 4059], [5412, 10779], [6163, 6217], [2109, 4023], [3578, 9126], [9400, 11572], [6181, 6796], [6781, 8481], [3450, 3464], [1702, 3864], [1299, 1939], [6488, 10888], [6180, 6571], [172, 5655], [3778, 8433], [4836, 7586], [507, 1215], [300, 4120], [161, 3961], [322, 11234], [2960, 5707], [296, 10013], [2435, 2853], [6077, 10206], [354, 569], [4012, 4291], [5383, 8105], [904, 5173], [3977, 5236], [10050, 11465], [9150, 9488], [191, 9438], [5628, 11319], [30, 5548], [5346, 9354], [5843, 10160], [34, 7919], [4287, 6566], [853, 4080], [1417, 6108], [1695, 1888], [7856, 7964], [2004, 2643], [4371, 8142], [14, 6893], [5153, 5899], [7386, 8200], [5576, 7722], [1247, 3603], [2924, 8655], [3345, 4713], [974, 5888], [7329, 11049], [2928, 5364], [3779, 10832], [3086, 6704], [190, 11441], [3268, 6186], [5198, 5268], [1588, 10662], [5033, 6921], [4268, 10996], [3427, 3964], [5008, 8554], [6539, 10371], [3640, 5011], [1238, 6873], [307, 3331], [3564, 5955], [1420, 1437], [5907, 6896], [1301, 4189], [611, 10158], [4033, 11129], [2015, 3532], [2642, 9292], [9113, 9932], [4075, 7568], [8736, 9982], [9522, 10891], [1506, 11010], [1631, 9958], [1538, 6761], [1975, 3352], [982, 5348], [1133, 8927], [7384, 8103], [4247, 5581], [7387, 7620], [1532, 9198], [69, 5795], [2691, 6151], [1870, 8439], [3253, 7352], [4332, 5130], [1410, 10898], [4082, 10617], [7038, 10095], [1333, 2572], [6268, 7410], [248, 4979], [2584, 11165], [3090, 3389], [3730, 10165], [679, 7417], [7103, 8211], [2120, 3302], [2077, 6638], [7838, 11060], [3320, 4790], [3793, 4448], [4942, 9381], [3479, 8984], [1084, 5601], [3167, 4925], [455, 8059], [3497, 6557], [5799, 7497], [1387, 2377], [2347, 4405], [1755, 4493], [504, 7951], [5827, 6512], [849, 8363], [1534, 2804], [749, 4749], [250, 3870], [346, 9994], [2242, 3830], [1758, 7393], [2121, 5001], [7255, 7827], [412, 5329], [7375, 8683], [1643, 6130], [863, 2003], [6809, 6959], [3887, 6311], [4662, 6307], [858, 5042], [2236, 3611], [2413, 5001], [487, 6792], [2973, 3123], [4003, 10808], [2575, 6460], [4930, 10444], [5367, 11199], [6590, 7945], [4780, 7467], [7013, 10522], [9659, 11272], [907, 1901], [72, 4483], [10130, 10857], [2591, 3960], [2250, 3667], [3432, 10992], [8573, 10825], [1811, 7003], [257, 3482], [2309, 10663], [2240, 6362], [5039, 7354], [383, 6038], [1056, 4626], [376, 4867], [4641, 10691], [7351, 7484], [5138, 11497], [2433, 2970], [1148, 1182], [6727, 10286], [5406, 5835], [1622, 10864], [5631, 8397], [8160, 8562], [8151, 10728], [3760, 9895], [2571, 7815], [5074, 6759], [7247, 9763], [1573, 6434], [3159, 5706], [7047, 11580], [4528, 6441], [6835, 7725], [4624, 6149], [7389, 9065], [3939, 6046], [6079, 8910], [2591, 9571], [9228, 11412], [2683, 6127], [4641, 6503], [3400, 8397], [8257, 8471], [7875, 8177], [4329, 5450], [2085, 7898], [5290, 10332], [3800, 5106], [7972, 11493], [367, 6228], [3827, 7683], [2139, 8134], [456, 2513], [1982, 3986], [5132, 6713], [3167, 8576], [1400, 4762], [6618, 8033], [2516, 7303], [4854, 7900], [2180, 7354], [2431, 11137], [5991, 11318], [2608, 10275], [5841, 8341], [2880, 8519], [4626, 11456], [3630, 7519], [550, 5531], [9853, 10309], [710, 3534], [5175, 6036], [9761, 10720], [573, 10618], [4409, 9886], [2938, 8874], [3216, 4654], [1786, 10059], [785, 860], [1621, 5296], [4965, 11272], [10208, 10658], [41, 3560], [2061, 5568], [3427, 9038], [8315, 10677], [8685, 9456], [1309, 10659], [5758, 8464], [7038, 9908], [5173, 5559], [2463, 3104], [7636, 11520], [2332, 4341], [6600, 10436], [5822, 9388], [7878, 11053], [532, 7934], [8214, 10221], [3656, 4552], [4973, 8480], [9238, 10140], [5685, 10406], [45, 9694], [4154, 5179], [418, 7990], [602, 10551], [4211, 9096], [2370, 9305], [5701, 7906], [9073, 9514], [1511, 7329], [3157, 6652], [7226, 9154], [4793, 5287], [2774, 3881], [2459, 4809], [6873, 10729], [3018, 9876], [1151, 8864], [3291, 10974], [4683, 6997], [8177, 9534], [3033, 4522], [2661, 8326], [5157, 6099], [109, 3047], [4061, 11380], [6148, 8194], [6499, 9175], [2508, 11467], [913, 1529], [1200, 5723], [238, 2114], [5835, 6916], [6337, 7312], [1506, 2797], [5179, 5299], [2190, 9845], [4306, 7397], [2281, 9209], [3000, 8896], [505, 9813], [10718, 10840], [1964, 7058], [1783, 11184], [2192, 9137], [4546, 10267], [6041, 9421], [4946, 11140], [8399, 11424], [2932, 6668], [1461, 5656], [3024, 9640], [6403, 10941], [584, 8766], [747, 9696], [2476, 4358], [6066, 11521], [1587, 10841], [897, 10394], [1076, 5441], [1395, 7638], [5686, 9021], [4277, 8887], [6245, 10705], [6333, 6388], [792, 2649], [7326, 7775], [4585, 6007], [1027, 1765], [2558, 6992], [1190, 2695], [3841, 8707], [7685, 8647], [6301, 10233], [5937, 8266], [6, 2090], [3643, 11351], [1023, 1242], [842, 2362], [4231, 11521], [57, 5061], [8401, 10665], [5163, 5839], [11038, 11329], [8617, 8977], [2865, 8024], [2447, 5067], [2261, 6597], [2629, 4549], [6594, 6671], [9163, 9675], [732, 4826], [5220, 8975], [6923, 8832], [7107, 11393], [2749, 6536], [3679, 5689], [878, 1618], [1652, 6674], [1619, 11452], [5764, 6594], [3176, 5068], [3308, 7439], [7437, 9992], [243, 4261], [1838, 6248], [3708, 10941], [620, 3430], [3973, 5762], [5093, 5793], [2135, 9652], [2979, 8287], [2696, 4966], [2627, 2917], [1732, 5448], [7554, 7894], [4347, 4633], [7643, 11349], [2125, 5150], [10750, 10996], [5640, 6312], [7264, 8320], [10068, 10410], [3585, 6003], [5080, 5157], [1938, 2291], [7758, 8074], [5289, 8714], [4456, 7959], [5269, 11445], [2343, 6891], [378, 9508], [4196, 10479], [4726, 6507], [8922, 11036], [338, 5945], [4565, 4869], [1856, 10186], [1135, 3256], [2635, 2754], [8832, 11493], [1601, 2497], [6089, 6646], [7049, 8674], [2011, 10474], [9012, 10148], [8917, 11042], [1593, 1855], [572, 7465], [1534, 4658], [1066, 2338], [1845, 8492], [5520, 7657], [4675, 9551], [6772, 7053], [2663, 11568], [3155, 5614], [4218, 5111], [5646, 9459], [3277, 7297], [1654, 1727], [3491, 4782], [3613, 9875], [2641, 6332], [805, 6885], [4736, 10177], [10204, 11371], [6591, 7422], [746, 3272], [4706, 11466], [4455, 7683], [188, 4442], [2180, 10818], [2392, 2595], [2827, 8939], [361, 6090], [1517, 5778], [4287, 9038], [7303, 8567], [1634, 7117], [9302, 9698], [1118, 5480], [793, 5720], [768, 7353], [3724, 6831], [7423, 10554], [7304, 9142], [945, 6491], [4468, 7514], [3563, 9357], [4218, 7339], [610, 3734], [1544, 10957], [8450, 11525], [7041, 7227], [9382, 11505], [4490, 6714], [6974, 8634], [9780, 11551], [8526, 9076], [4150, 9275], [1559, 1816], [5731, 8203], [2656, 6559], [3427, 6436], [3730, 10409], [3831, 10461], [1651, 11204], [3948, 5384], [1771, 5644], [4942, 6242], [4128, 10455], [3725, 9284], [308, 2241], [4514, 7458], [6962, 7469], [4653, 9522], [2199, 4778], [2451, 5753], [5708, 8377], [1258, 10347], [10308, 10515], [3682, 6554], [5645, 7274], [734, 11101], [3308, 10285], [545, 1780], [691, 8021], [4627, 10903], [1195, 2828], [1310, 3340], [5678, 6633], [6170, 7095], [2809, 9783], [2597, 11590], [6140, 8384], [2150, 4485], [6687, 8553], [6814, 10580], [1421, 7493], [989, 1420], [3851, 11062], [5530, 6361], [6995, 9056], [5777, 6238], [3696, 6206], [4501, 11329], [3663, 3814], [9506, 11301], [5246, 9985], [3162, 4020], [290, 2735], [2074, 2746], [2387, 7407], [6640, 7552], [3371, 7577], [5611, 7639], [1323, 10691], [5242, 9462], [7360, 7841], [1319, 6785], [2212, 7591], [5666, 10729], [8728, 11357], [721, 2140], [4045, 6740], [2004, 10271], [1035, 3993], [6821, 10946], [1680, 4697], [8345, 8586], [2488, 9337], [7273, 7845], [2925, 3676], [7305, 10012], [2268, 4840], [1112, 2146], [3479, 4235], [1954, 6370], [2014, 10585], [7611, 10469], [6145, 9801], [5716, 7409], [325, 7401], [4461, 4709], [3807, 6171], [2759, 8460], [5592, 9036], [5399, 8641], [2839, 9917], [8599, 10731], [3711, 9846], [2555, 3742], [6739, 10890], [2005, 8937], [2463, 4153], [3578, 3840], [1246, 10605], [9398, 9623], [5265, 9580], [3589, 11546], [1562, 8367], [4040, 5591], [1968, 7557], [4291, 9374], [2031, 11289], [7342, 11341], [8930, 10686], [623, 8347], [5657, 9057], [3611, 6582], [2136, 8080], [1893, 8322], [6805, 8103], [1827, 3538], [5932, 7949], [8353, 11055], [390, 8526], [323, 6550], [6053, 10161], [1880, 10719], [4686, 8718], [7790, 8848], [204, 2105], [2096, 11283], [46, 10564], [877, 10492], [2465, 4175], [2936, 6012], [1561, 4708], [2366, 9831], [3852, 4735], [5567, 8359], [811, 6839], [3669, 5782], [7215, 8509], [276, 8932], [2141, 7619], [5258, 7954], [2517, 10350], [1765, 1855], [1419, 7634], [7387, 9905], [1876, 9041], [8543, 9593], [1070, 10863], [3752, 4854], [1412, 3430], [3065, 10340], [1532, 8450], [916, 3980], [1251, 5956], [7484, 10188], [4736, 11413], [2613, 5520], [6076, 6492], [7103, 10496], [3545, 6254], [6939, 9341], [2766, 9899], [5037, 9274], [2485, 9657], [8834, 9368], [489, 5791], [244, 10124], [2026, 8554], [4414, 9268], [3597, 6794], [6339, 7252], [3345, 11454], [7832, 10497], [5526, 5651], [1233, 8359], [5560, 10897], [1561, 2748], [131, 8153], [535, 8768], [299, 10181], [1476, 4330], [9682, 10000], [4859, 8756], [8809, 9846], [9934, 10221], [3671, 10284], [6938, 11344], [3803, 3987], [1894, 9165], [3358, 9006], [4841, 10809], [3609, 4121], [894, 2820], [3129, 6702], [3887, 5563], [1394, 1645], [6221, 8670], [2262, 10500], [5350, 5933], [6337, 9784], [4028, 8427], [1641, 11321], [1753, 5146], [2472, 4833], [3308, 5105], [826, 2477], [1409, 2303], [1281, 3057], [1633, 6892], [1926, 3761], [8718, 9677], [683, 4828], [1676, 3586], [2020, 3396], [2465, 8176], [1708, 8005], [4326, 10871], [8340, 9502], [2834, 8982], [9264, 9621], [6096, 6288], [7565, 10637], [3136, 9320], [1513, 8668], [6370, 7988], [11473, 11501], [10600, 11347], [5784, 7864], [3714, 5769], [8147, 10211], [1256, 3535], [1106, 6974], [2720, 7540], [944, 8898], [3251, 7930], [4653, 10303], [4997, 10867], [658, 6060], [107, 1985], [7008, 10877], [4551, 5862], [1339, 2257], [2746, 5728], [1810, 8258], [251, 7399], [1994, 10819], [130, 9324], [6539, 9086], [1341, 8719], [6503, 7177], [2520, 3695], [6506, 6694], [1838, 3109], [4412, 6457], [8926, 9575], [4297, 5164], [2867, 10569], [4479, 11062], [28, 6014], [2918, 7124], [3164, 4147], [2293, 7072], [1854, 10408], [2974, 8187], [8206, 9636], [2204, 11164], [3909, 7684], [681, 3546], [8728, 11438], [5591, 6664], [2974, 11570], [3960, 8403], [3304, 6786], [5991, 7537], [1559, 6703], [5764, 9066], [5545, 9702], [2565, 3414], [5455, 10940], [1343, 5358], [1719, 8089], [7531, 9847], [3329, 11165], [7807, 8210], [2824, 3301], [5483, 9174], [2274, 9250], [4976, 11063], [7216, 11125], [9210, 11158], [1679, 4876], [2921, 10000], [1765, 3896], [2594, 7161], [10231, 11183], [52, 6734], [1822, 7813], [4060, 4796], [5646, 6320], [4314, 8096], [3808, 10210], [1530, 7412], [8818, 10526], [380, 10922], [4874, 6972], [5646, 9703], [1902, 6237], [3297, 8193], [3236, 10169], [774, 5564], [6071, 11572], [2279, 5406], [63, 6492], [472, 10861], [3144, 10580], [159, 6200], [5945, 6737], [5191, 11001], [8776, 10650], [4041, 5843], [7750, 10254], [1797, 2629], [675, 1771], [3665, 6495], [4138, 9159], [4938, 7522], [4597, 7229], [1890, 8455], [88, 7838], [1583, 6992], [4713, 8343], [4749, 8000], [5520, 10129], [5144, 10781], [6460, 7718], [5993, 9006], [1, 1453], [3524, 9646], [5451, 8457], [5820, 10017], [9223, 10938], [6914, 8827], [407, 6278], [503, 5986], [4179, 8005], [2299, 2624], [7252, 8822], [2646, 6115], [7135, 7483], [7726, 7924], [1918, 2932], [9214, 10071], [6468, 7959], [3290, 9600], [5850, 9078], [7776, 10670], [2454, 6295], [4725, 5670], [2853, 4314], [2010, 2871], [4788, 9402], [3787, 7373], [2352, 6018], [4437, 8421], [3353, 4637], [3561, 4586], [2344, 5376], [7868, 10609], [1134, 8835], [1970, 9107], [6046, 8616], [6732, 11573], [4314, 6486], [3989, 4474], [4265, 10007], [3210, 10371], [1121, 4062], [7070, 8535], [5826, 6748], [2015, 8476], [991, 8153], [4356, 8590], [5199, 10033], [6123, 10152], [242, 6345], [2609, 5428], [5716, 11491], [9026, 9969], [6531, 10886], [8520, 11329], [1385, 5047], [961, 9415], [4975, 11456], [3624, 4884], [3170, 10541], [701, 11181], [5961, 6010], [3065, 6583], [1969, 11110], [6482, 11374], [4522, 9417], [4969, 10860], [203, 10904], [2930, 3914], [1099, 8975], [9557, 11483], [6858, 10318], [6820, 9834], [445, 7404], [787, 10551], [6036, 6719], [7102, 9897], [3740, 9731], [8391, 11457], [3611, 7631], [7618, 8501], [4378, 9264], [1329, 7343], [7898, 11524], [1394, 8492], [1605, 6460], [612, 1286], [3129, 4100], [1890, 2657], [5488, 5574], [7141, 8320], [1389, 4361], [2113, 10808], [3381, 10737], [1752, 9139], [8572, 9933], [2264, 4561], [4530, 10008], [3821, 4593], [2004, 9360], [3740, 5193], [4249, 7514], [264, 7369], [2649, 3648], [5080, 7442], [2874, 6210], [4274, 8510], [9786, 10730], [1073, 2785], [7258, 9255], [6076, 8346], [6330, 10148], [3928, 11256], [432, 1476], [1061, 4653], [8305, 10878], [10242, 11131], [1830, 4834], [1296, 10562], [4652, 6749], [7929, 9251], [9376, 11397], [1659, 11553], [10657, 11531], [6703, 7289], [3633, 10907], [10438, 10669], [1627, 6353], [1107, 3843], [412, 9468], [417, 3396], [2557, 10424], [4270, 10969], [4865, 8146], [10439, 10490], [105, 11388], [4178, 4964], [1903, 8099], [2457, 9439], [781, 7995], [4074, 10276], [4048, 9055], [11050, 11583], [8068, 10884], [4823, 11303], [2115, 3259], [7469, 9801], [67, 5619], [3484, 10410], [4198, 8999], [3969, 9701], [956, 9689], [987, 2586], [7019, 8060], [9768, 10443], [3541, 10163], [793, 11388], [2348, 8341], [9137, 10576], [2234, 7273], [4911, 7336], [3003, 6323], [6086, 11238], [5458, 7505], [3911, 5909], [1043, 2114], [382, 6569], [506, 2663], [43, 687], [4772, 7931], [4020, 5852], [2427, 3911], [1716, 4085], [752, 4567], [6822, 11279], [690, 1437], [8809, 10895], [3112, 7397], [2365, 5662], [1902, 4440], [4577, 10092], [1370, 6831], [1991, 3731], [2015, 8289], [4101, 7130], [4543, 8229], [5941, 7450], [6873, 8184], [3545, 6848], [3468, 4184], [2855, 5647], [49, 3484], [2327, 3276], [9262, 10998], [5315, 7927], [652, 11102], [5311, 10437], [8855, 10839], [9142, 10115], [2496, 4024], [4247, 7305], [3192, 6171], [358, 7622], [45, 2961], [6977, 11166], [6672, 10530], [946, 1376], [5114, 10273], [417, 1786], [3085, 10431], [7658, 10746], [3893, 7157], [1546, 8726], [3849, 6104], [1767, 3218], [4943, 11330], [3549, 5812], [1053, 8012], [2794, 4189], [8585, 11486], [1608, 5790], [18, 7530], [491, 3024], [3590, 5062], [4219, 5233], [2194, 2881], [513, 1093], [4709, 11284], [5765, 7358], [6771, 10485], [107, 9450], [2598, 6879], [4488, 6562], [1150, 10200], [2277, 4986], [1810, 6274], [2395, 2763], [1402, 4759], [2732, 5566], [1121, 8681], [307, 6478], [5528, 7014], [1711, 8897], [5286, 10864], [1523, 9600], [2113, 6433], [7271, 9653], [857, 7295], [206, 6022], [1820, 2424], [3972, 6803], [6093, 8863], [7984, 8771], [8075, 8135], [1375, 5191], [943, 5534], [946, 9215], [1034, 5652], [686, 8352], [2993, 9636], [4897, 6743], [5513, 5551], [7047, 8043], [220, 6078], [2535, 11387], [7468, 9793], [10704, 11540], [7505, 8894], [2452, 8908], [8064, 10578], [4272, 4412], [8191, 9599], [4576, 11239], [10604, 11309], [1354, 10329], [5409, 8961], [3100, 6850], [9729, 11082], [4104, 9150], [4412, 7051], [2170, 6162], [1010, 8984], [1149, 6110], [5965, 9593], [5461, 8370], [1202, 9154], [6116, 9762], [7668, 9450], [5269, 11583], [2385, 7255], [5360, 10947], [1700, 7152], [11342, 11396], [5148, 6338], [3180, 5274], [5803, 8484], [8251, 9249], [474, 2938], [5730, 8945], [1382, 4776], [436, 6618], [1026, 3451], [260, 8836], [3116, 11116], [10994, 11063], [4294, 8119], [6565, 9746], [7535, 10210], [3017, 3940], [1581, 11028], [2395, 4536], [400, 10694], [3287, 8123], [6733, 11400], [3567, 8140], [4305, 7877], [1326, 10859], [47, 3601], [5859, 7611], [984, 10341], [912, 8775], [700, 10582], [2125, 4833], [4365, 9059], [3219, 3643], [6763, 9707], [223, 11182], [5168, 6939], [9130, 9544], [3242, 8730], [4016, 8124], [1533, 4140], [5299, 9085], [3396, 6164], [3573, 6800], [2487, 6353], [4703, 6021], [4050, 10337], [2636, 9859], [114, 285], [1094, 10859], [8709, 9672], [1364, 6024], [703, 4063], [2850, 7344], [8299, 11494], [5413, 10503], [2194, 5727], [143, 2154], [3888, 8474], [3224, 9248], [309, 9771], [304, 9427], [423, 5177], [5039, 7818], [323, 7225], [2174, 8458], [8609, 9441], [1049, 1667], [10137, 10987], [3193, 7683], [5097, 5544], [6776, 7259], [3722, 4240], [6994, 8650], [3931, 8551], [2719, 11183], [8223, 8624], [131, 7405], [3455, 5589], [9091, 11063], [1433, 2754], [2188, 8514], [4961, 9039], [6943, 7557], [7168, 10119], [7096, 8553], [6756, 11114], [9208, 9369], [6534, 6571], [3726, 6991], [1233, 3073], [7099, 11453], [1210, 1369], [4762, 11458], [4846, 10405], [7891, 9174], [2606, 9562], [6897, 10945], [674, 1739], [2871, 4383], [942, 2493], [3159, 11431], [7329, 9821], [8633, 10161], [9094, 10556], [2680, 4034], [1382, 5394], [8622, 11500], [3309, 4959], [9726, 10998], [5237, 9630], [2718, 10907], [10215, 11162], [3895, 7685], [3606, 7582], [1520, 11343], [954, 6236], [3906, 8224], [8541, 9417], [2080, 3049], [4150, 4420], [2907, 5487], [4094, 10904], [290, 9639], [6676, 8451], [984, 10959], [6736, 8502], [3286, 5483], [2868, 9696], [1096, 5538], [5731, 6731], [3396, 9815], [636, 827], [5670, 8707], [42, 3094], [2688, 8008], [4453, 8743], [2429, 2829], [340, 3690], [7347, 10726], [4083, 6931], [4205, 7860], [461, 5148], [4201, 4708], [6869, 6937], [4940, 11463], [8615, 9874], [5721, 11274], [8297, 11285], [2168, 7376], [2794, 11036], [461, 8531], [5991, 6439], [3035, 6961], [1796, 5518], [3936, 6130], [2793, 10811], [6583, 7482], [1013, 6011], [1223, 2623], [300, 10276], [7819, 8627], [5332, 7907], [1632, 11129], [4268, 11191], [6260, 11151], [350, 6606], [4169, 8179], [4105, 6474], [225, 4625], [1894, 5652], [6718, 8996], [118, 10420], [1582, 10261], [1207, 4722], [3886, 5612], [6250, 7430], [1429, 7013], [6067, 7723], [1057, 7407], [5967, 10525], [5669, 11060], [6497, 7307], [991, 6787], [6259, 8647], [7276, 11209], [1207, 8105], [7334, 8181], [5534, 8391], [2081, 2445], [1370, 2619], [525, 5267], [3195, 10575], [2887, 10422], [6151, 10053], [4473, 11192], [8981, 11112], [1672, 7121], [2257, 10026], [1770, 3492], [5524, 6922], [4197, 9796], [4524, 5495], [1824, 10144], [3968, 7492], [3878, 10982], [5081, 6352], [3279, 9899], [4550, 10099], [3526, 4114], [10458, 11565], [1989, 4734], [3389, 7034], [4149, 6722], [1473, 9513], [2361, 9975], [1406, 1875], [4920, 5064], [1654, 4606], [3910, 9365], [9183, 10815], [682, 5227], [4039, 5049], [7099, 11266], [3202, 7558], [2145, 5597], [7186, 7478], [3747, 4648], [1763, 2297], [7523, 10281], [28, 10072], [2633, 8569], [673, 4360], [1664, 2291], [7398, 8300], [3905, 5207], [5639, 10793], [2187, 6947], [2469, 10043], [1225, 8256], [1013, 10817], [3220, 7733], [138, 9836], [1442, 10176], [1368, 7783], [2646, 8400], [6383, 8443], [6603, 10661], [5799, 8392], [1098, 9585], [439, 9949], [6355, 9778], [2546, 8169], [2448, 5382], [1740, 9991], [10471, 11345], [3501, 6820], [3695, 10069], [4657, 6508], [2074, 6080], [5928, 6708], [4811, 6194], [2130, 8641], [917, 6167], [517, 8677], [2563, 5490], [4488, 10644], [8603, 9327], [3710, 7344], [5200, 6154], [1688, 3011], [631, 8964], [3616, 7682], [5460, 11154], [2712, 5963], [196, 6757], [5178, 11441], [65, 824], [1749, 9299], [8127, 9748], [1658, 3519], [1131, 10418], [3450, 9083], [4816, 9547], [3321, 3977], [4203, 11010], [1521, 4187], [4351, 7498], [10484, 11526], [524, 2277], [10482, 10699], [1826, 8206], [7767, 7900], [5437, 11328], [5129, 11175], [8432, 10734], [9146, 9323], [9294, 9975], [5025, 10825], [765, 2339], [1785, 11588], [8980, 11505], [6085, 9270], [11071, 11444], [1844, 4998], [502, 6840], [2900, 7488], [3409, 9809], [1914, 4239], [1874, 7092], [5611, 7135], [79, 7646], [5265, 6498], [6610, 9091], [4919, 5861], [1343, 10839], [1561, 5814], [7163, 10206], [1432, 3714], [1626, 3957], [2997, 7771], [2954, 11107], [6197, 9861], [1084, 6414], [3332, 10501], [586, 5383], [780, 2216], [3574, 10034], [1836, 11122], [1433, 9951], [5103, 8018], [4857, 5333], [3792, 5009], [4015, 10908], [916, 11152], [1795, 8088], [3980, 7689], [960, 10670], [3293, 10923], [3298, 11267], [421, 10392], [3229, 6966], [1511, 5296], [986, 2442], [3775, 9916], [1719, 5999], [5860, 10067], [4832, 8844], [4426, 8156], [4209, 9619], [5926, 7654], [6420, 8943], [3625, 9568], [1776, 3500], [3933, 7469], [3331, 9121], [6326, 8527], [2401, 6154], [9185, 11455], [6599, 10756], [4171, 7233], [2705, 6565], [3269, 8593], [4222, 10204], [5564, 6110], [3635, 10636], [7148, 10971], [2296, 4825], [3784, 9978], [205, 11275], [6552, 9405], [3966, 8706], [6805, 7599], [4191, 11268], [4496, 5488], [4862, 7531], [7790, 11377], [5408, 8199], [2313, 5933], [4212, 9112], [2630, 10713], [1073, 4265], [2286, 4487], [758, 9357], [4588, 5427], [1410, 7068], [3117, 4415], [5698, 8153], [8213, 10140], [2614, 9429], [2999, 9240], [10709, 11323], [8739, 9432], [1813, 10841], [7816, 9915], [2176, 2787], [6317, 6855], [6812, 10998], [3034, 4538], [5497, 10499], [8330, 11075], [675, 6447], [3584, 5355], [2451, 11478], [5061, 10319], [452, 1679], [985, 4394], [4118, 5262], [2215, 8003], [3803, 10354], [3407, 9600], [2536, 11027], [7944, 8006], [4766, 9647], [915, 2120], [1942, 6124], [6908, 6922], [5113, 7476], [6231, 6680], [3455, 10021], [1252, 9060], [6632, 10407], [6878, 7430], [8999, 9490], [5637, 9324], [1678, 10400], [2650, 8281], [3944, 9431], [269, 4604], [3357, 5699], [4014, 8672], [934, 6684], [3611, 7501], [2910, 8393], [6626, 6805], [3999, 6105], [638, 8793], [1147, 4698], [1598, 5159], [3597, 6290], [7585, 9362], [3070, 9025], [9541, 9665], [5458, 8985], [334, 5349], [7832, 9993], [1665, 9764], [271, 10662], [636, 2681], [9813, 11292], [9128, 11189], [10005, 11462], [3305, 8518], [2515, 4457], [1716, 2532], [1241, 10375], [8744, 11199], [6250, 7056], [7691, 9357], [7066, 9305], [901, 9903], [11078, 11273], [2926, 5839], [2761, 4082], [10825, 10827], [247, 4949], [10596, 11529], [3789, 8688], [3916, 9961], [10356, 11288], [3589, 7122], [5489, 7493], [2249, 8256], [421, 7172], [7167, 9737], [541, 5022], [758, 3559], [2678, 8369], [1906, 9021], [7940, 8906], [125, 2865], [226, 9333], [4827, 5280], [2298, 5115], [5532, 6789], [10550, 11130], [2122, 6552], [7058, 10891], [8633, 9250], [1143, 2969], [862, 6891], [2374, 9432], [9134, 10175], [8225, 11118], [6637, 8767], [2540, 8381], [8199, 9897], [2691, 8550], [1385, 5885], [4339, 10952], [7737, 11529], [1003, 2585], [2375, 10007], [4245, 8284], [3994, 4501], [5425, 8366], [5260, 10773], [6698, 9393], [4358, 5717], [691, 11331], [2926, 10295], [3019, 7076], [9830, 10036], [6721, 8064], [1495, 5649], [5497, 6929], [27, 1902], [3946, 10095], [6683, 8711], [5411, 11292], [2264, 8082], [543, 6141], [7549, 10323], [1021, 6897], [3070, 9643], [3627, 8248], [6146, 7725], [6710, 9753], [5583, 8551], [1046, 2231], [4591, 11149], [1224, 6475], [4341, 4558], [6770, 6771], [1743, 2344], [2685, 10182], [3273, 10352], [10528, 11074], [7966, 8517], [1053, 1116], [2795, 10727], [558, 10936], [6189, 9650], [11318, 11378], [6665, 9579], [7522, 8476], [2635, 5527], [4870, 9409], [5229, 11005], [7459, 9625], [609, 10120], [4434, 5846], [6247, 10005], [415, 455], [6517, 11586], [856, 9997], [512, 10187], [2406, 3196], [4708, 8300], [1343, 7082], [7915, 8528], [1943, 2351], [5024, 9445], [630, 4931], [631, 7785], [6758, 8615], [8726, 10433], [5894, 6295], [7472, 7958], [2057, 9054], [2582, 5492], [2093, 9465], [70, 10192], [3741, 4697], [9317, 10874], [1440, 7365], [8398, 10375], [344, 5476], [8468, 8862], [374, 7570], [2014, 2941], [5539, 5545], [2388, 11261], [5000, 10929], [2756, 3551], [6747, 11058], [1797, 8541], [496, 5466], [1427, 2592], [711, 7340], [554, 3192], [1168, 4583], [5213, 8943], [3253, 6986], [3537, 6745], [9949, 10188], [3032, 5297], [1693, 10820], [5024, 5257], [2032, 3870], [5089, 10570], [4671, 7613], [1684, 6570], [846, 5471], [7568, 9894], [5613, 9035], [10315, 11450], [1310, 3885], [3240, 9383], [2120, 2936], [1161, 10178], [4863, 11166], [6468, 10488], [6569, 10540], [5253, 7187], [525, 3551], [1280, 2141], [3107, 6760], [4289, 7669], [622, 6867], [2045, 3701], [1303, 9480], [7158, 7902], [2268, 9573], [3564, 5134], [6399, 6537], [10158, 10311], [787, 10502], [145, 7063], [1217, 10086], [4641, 4714], [2841, 11340], [7321, 11464], [1530, 1915], [3926, 8906], [5708, 11500], [6735, 8334], [885, 4594], [3614, 4847], [7039, 9499], [3460, 4380], [3138, 8301], [3702, 10329], [6940, 8739], [4540, 7264], [2406, 8352], [617, 1581], [3297, 6079], [6031, 6676], [810, 5359], [1178, 9727], [1917, 3650], [7271, 10946], [2830, 10750], [76, 1607], [5122, 10248], [6035, 6768], [2599, 7619], [6647, 11496], [768, 2100], [2660, 4862], [2878, 10417], [5263, 6696], [8480, 10645], [1699, 2609], [10477, 10949], [7473, 8047], [353, 545], [358, 889], [1459, 2398], [5364, 10885], [5481, 11470], [722, 8521], [2191, 6454], [4582, 10095], [3233, 10766], [2708, 7912], [7415, 11425], [9032, 11508], [1675, 6345], [718, 7998], [2337, 9662], [6788, 8294], [5721, 7143], [7331, 10973], [3733, 8056], [6305, 10577], [4039, 9294], [8491, 11534], [4372, 4781], [3723, 10751], [6149, 7031], [1815, 2568], [7984, 9259], [1196, 10632], [2844, 6618], [4406, 6994], [7885, 8499], [982, 5950], [2907, 3934], [383, 4867], [1291, 6705], [5080, 6938], [171, 258], [2380, 5171], [314, 566], [4895, 4906], [1025, 5273], [5355, 5830], [5611, 9957], [2309, 3426], [3326, 5988], [2522, 10889], [6624, 9367], [2116, 3031], [4946, 10506], [6725, 9419], [3444, 3765], [4696, 10331], [3261, 4812], [6910, 8418], [2579, 8390], [83, 3420], [3596, 3755], [213, 9128], [920, 10710], [426, 10175], [3654, 7897], [1259, 4514], [2234, 7574], [1313, 10412], [506, 9380], [2036, 10972], [1255, 3991], [760, 9647], [3855, 4746], [118, 2451], [2083, 9633], [917, 2841], [449, 1275], [3776, 8802], [197, 10099], [1814, 4520], [2261, 5963], [1788, 3299], [396, 860], [5965, 9276], [2068, 5568], [3909, 10994], [1626, 7852], [6295, 8629], [908, 5357], [885, 10823], [2593, 11024], [10148, 11284], [5301, 10400], [602, 7502], [31, 2051], [2267, 4623], [2678, 4157], [2925, 10450], [2273, 6323], [4143, 6852], [1894, 9710], [4602, 4922], [1819, 7092], [4444, 11129], [9234, 9981], [8148, 11032], [1742, 8535], [6021, 8403], [4037, 6052], [6251, 11309], [797, 6815], [4004, 10076], [3772, 4845], [3467, 10625], [1977, 5399], [1747, 2493], [3131, 10676], [5187, 8177], [5, 6091], [1188, 10608], [5678, 8414], [2156, 3829], [1316, 9073], [4122, 4820], [2900, 10928], [5921, 11555], [5513, 10040], [5487, 8819], [4852, 7325], [688, 5717], [2574, 5281], [5724, 8008], [710, 10202], [4237, 6463], [2764, 11040], [9264, 10166], [4596, 6581], [4697, 7387], [5380, 10827], [3888, 11190], [2073, 10368], [5186, 7551], [3498, 8002], [4599, 7983], [6115, 8014], [1147, 10553], [9299, 9571], [10254, 11255], [1095, 3223], [9601, 9909], [6402, 10673], [2873, 11333], [2811, 10455], [3183, 3645], [2868, 4573], [8456, 11511], [2534, 5451], [328, 4219], [1285, 2566], [7730, 11407], [1909, 5399], [727, 4490], [2349, 9835], [1373, 2386], [192, 4331], [283, 3695], [5006, 7741], [1329, 5497], [4515, 7881], [38, 3864], [1211, 6939], [875, 11154], [2732, 5062], [92, 10516], [2169, 6642], [235, 3654], [522, 2930], [7089, 10448], [1421, 5436], [3950, 5601], [2138, 10712], [894, 8171], [4631, 8214], [889, 1411], [2570, 3953], [6131, 7712], [2239, 4348], [3846, 10913], [2190, 4486], [487, 8012], [2142, 4415], [955, 3162], [387, 10060], [2156, 8285], [1725, 5066], [1314, 4034], [448, 11467], [2470, 3722], [769, 10327], [3684, 6798], [4711, 6638], [2875, 11355], [2068, 9569], [8813, 11532], [4778, 7860], [908, 5975], [7759, 9088], [2556, 8377], [5605, 8046], [3063, 7619], [3553, 7254], [3274, 7839], [3417, 8147], [815, 6915], [1154, 6381], [10892, 11087], [7564, 9751], [4561, 9703], [9829, 10809], [6553, 9663], [4290, 7897], [4783, 11213], [2229, 2855], [238, 5749], [1451, 6725], [2129, 5657], [5797, 7061], [5187, 8795], [232, 5934], [1851, 6844], [3688, 5735], [8944, 9490], [6977, 11280], [4805, 9632], [4399, 8190], [9932, 10533], [2150, 6884], [7105, 7493], [2838, 4252], [6234, 10418], [2122, 4836], [4955, 9576], [2825, 3266], [4908, 9006], [1955, 2629], [3147, 9144], [3454, 9072], [515, 10729], [4596, 10582], [9362, 11292], [3749, 5987], [1825, 3687], [303, 10257], [3319, 9786], [5616, 10382], [11259, 11365], [4404, 10762], [192, 1566], [5231, 7538], [2562, 11500], [2531, 5771], [2037, 8646], [6051, 7277], [13, 9148], [130, 4071], [1909, 2984], [1038, 10073], [904, 7629], [5611, 10388], [9085, 11549], [1750, 8589], [5664, 7016], [1775, 9585], [2926, 8929], [5224, 6717], [3414, 5485], [3947, 8200], [5155, 8078], [953, 10150], [2857, 10263], [4691, 7385], [2449, 6496], [575, 10729], [4995, 10048], [6390, 9752], [4681, 11578], [3196, 10860], [5, 1716], [4405, 10182], [1884, 9878], [6832, 9316], [3059, 7364], [4463, 7154], [422, 10083], [326, 3959], [312, 5781], [4233, 7631], [7261, 9429], [4666, 10896], [3122, 8817], [3265, 4207], [7848, 9374], [5955, 9393], [191, 11089], [2864, 7246], [7559, 8490], [2358, 2944], [3008, 10408], [587, 8056], [866, 1055], [4948, 10178], [1020, 11321], [433, 7589], [5094, 10003], [7145, 7160], [51, 10705], [5930, 10275], [4712, 6703], [1859, 8858], [3497, 9818], [3063, 7082], [7586, 8034], [2386, 11004], [195, 6670], [5952, 8721], [3006, 9931], [785, 3503], [2531, 7194], [2340, 7626], [406, 11054], [320, 5618], [5729, 6205], [5426, 6396], [8258, 10534], [3585, 6605], [10615, 11181], [7156, 10328], [1957, 10490], [7929, 10251], [1807, 7513], [9217, 11556], [5413, 8039], [1896, 6050], [122, 5229], [5693, 11062], [963, 6599], [9261, 11104], [401, 10279], [5036, 5056], [3883, 9049], [2018, 8864], [4442, 10733], [4650, 11436], [2816, 6400], [1082, 10613], [4026, 8576], [2968, 3007], [2501, 4295], [4782, 10774], [715, 1959], [1755, 10332], [1196, 2232], [1323, 10675], [2682, 3552], [5445, 5641], [8815, 10586], [4054, 10974], [322, 4859], [1626, 10861], [4608, 5144], [747, 3345], [5079, 11145], [2271, 8155], [2049, 2858], [994, 3976], [1713, 7073], [1985, 5317], [2582, 3321], [6933, 11171], [3958, 7479], [1585, 7827], [491, 2601], [3457, 3521], [2514, 4126], [4910, 8865], [2412, 3849], [7470, 8343], [3227, 9660], [2757, 11431], [174, 10249], [6236, 6520], [5036, 10667], [387, 4880], [6555, 8717], [6056, 11248], [4459, 7653], [5959, 7151], [4708, 8357], [1721, 3150], [1667, 10461], [7259, 10001], [3189, 7274], [2752, 7273], [5861, 6993], [1100, 7381], [6418, 8604], [3269, 8731], [1927, 10573], [9060, 9612], [3088, 4189], [5660, 6710], [4214, 7418], [6227, 8255], [1683, 7180], [5451, 5782], [1702, 4978], [4852, 6951], [6495, 6757], [2921, 8398], [3110, 4887], [6260, 7614], [618, 10239], [1614, 5508], [4105, 9353], [6495, 10140], [2104, 11559], [2921, 5365], [6250, 10309], [2234, 10851], [5407, 8866], [1259, 1375], [168, 6246], [4037, 7906], [87, 7570], [945, 9321], [5967, 6988], [6937, 10458], [1289, 2715], [5676, 10222], [172, 7119], [4535, 5904], [2091, 7540], [5210, 8702], [3059, 7177], [509, 9141], [3272, 8224], [500, 11307], [10154, 10650], [316, 2330], [8998, 10962], [4525, 11228], [313, 2032], [1586, 9475], [712, 6467], [3384, 6186], [2921, 4210], [1057, 9131], [1986, 9594], [1182, 1663], [4352, 11458], [1668, 7972], [1513, 11067], [1769, 2362], [7961, 10003], [2853, 6900], [671, 6062], [2357, 2532], [3434, 5899], [8705, 10686], [2661, 2943], [618, 6401], [3780, 9919], [2474, 6500], [719, 6483], [1659, 10488], [7920, 10352], [2958, 6320], [760, 5703], [2647, 8121], [7910, 8883], [1250, 3086], [7155, 7287], [6827, 11363], [5922, 9042], [4546, 4884], [600, 11083], [2216, 2650], [409, 8105], [1001, 5765], [3791, 9677], [1774, 4934], [8957, 10506], [6810, 9854], [2222, 7726], [726, 8347], [8475, 10358], [9605, 11077], [3998, 4089], [8574, 10337], [166, 776], [5305, 10362], [4770, 6820], [1100, 1583], [6917, 10101], [3316, 3503], [3711, 10448], [3214, 3226], [5139, 8380], [1930, 8456], [3898, 10274], [500, 3281], [6687, 10578], [317, 4328], [2984, 3703], [6939, 11553], [2558, 11408], [2018, 7522], [2649, 10772], [4292, 6414], [1555, 8929], [22, 623], [5161, 6045], [1013, 4970], [5656, 10188], [3231, 10346], [2722, 8025], [330, 10575], [6517, 11456], [1536, 3210], [7518, 7823], [4400, 10269], [3166, 9170], [4157, 10511], [1812, 2327], [581, 11325], [8451, 11411], [3747, 5917], [2322, 7502], [6231, 8591], [9407, 10287], [5711, 10245], [2988, 3421], [4672, 4726], [2058, 9149], [5602, 8797], [5423, 7334], [4609, 10793], [3404, 8180], [818, 7481], [818, 1065], [3636, 7025], [895, 3005], [5915, 10425], [595, 9129], [743, 5617], [1171, 7784], [6090, 8736], [6408, 7325], [1606, 7712], [5445, 11415], [10393, 10853], [3970, 6497], [3125, 8391], [6060, 9998], [5905, 5923], [5117, 8351], [4903, 10085], [2003, 5254], [903, 5875], [4478, 7842], [164, 8919], [5489, 10559], [899, 2723], [1806, 10752], [1210, 9940], [5635, 7351], [564, 9011], [2949, 9454], [521, 5931], [1572, 1661], [2516, 9572], [2208, 5255], [546, 6927], [1433, 8642], [363, 1558], [3043, 6056], [481, 3499], [4004, 10938], [8789, 9446], [6244, 8748], [1607, 6728], [2192, 3217], [1930, 5691], [3374, 7509], [2911, 6287], [7258, 10231], [564, 4823], [5947, 10605], [7812, 8538], [2917, 6482], [5654, 6596], [9745, 11301], [3415, 3726], [1075, 6466], [990, 10300], [4732, 10687], [1052, 4762], [5871, 8516], [7612, 11109], [1012, 5363], [3599, 8916], [6092, 7172], [452, 10624], [5531, 8825], [2842, 7247], [2014, 11000], [4990, 7720], [4150, 9958], [112, 353], [910, 10721], [5516, 7012], [9843, 10304], [2381, 3065], [1126, 9033], [6105, 10790], [702, 6985], [1443, 8151], [2458, 10640], [3951, 8967], [3679, 4307], [5205, 9944], [5513, 10097], [878, 6652], [6197, 9975], [7030, 10730], [10087, 11014], [4545, 10837], [9558, 10670], [4761, 4985], [5869, 7665], [6496, 7763], [703, 3803], [1821, 9423], [8419, 11336], [8672, 9530], [7927, 9376], [3902, 9051], [5299, 7670], [2190, 5698], [2061, 2844], [1904, 11528], [8074, 9022], [311, 2417], [745, 8536], [3549, 10626], [2336, 8152], [1713, 8927], [2427, 8270], [6542, 6953], [5606, 9483], [3028, 8645], [4798, 10478], [400, 8474], [3858, 9102], [1673, 2331], [3443, 10580], [24, 2710], [1524, 2208], [4414, 10488], [2224, 3373], [6119, 10418], [3758, 8871], [1516, 7982], [10413, 11318], [1600, 6175], [949, 9820], [2230, 9954], [138, 6380], [195, 498], [723, 2869], [1093, 1648], [10556, 10845], [1216, 10349], [505, 11277], [541, 10934], [8375, 11363], [8349, 10142], [7516, 9387], [5233, 8497], [837, 7320], [1, 632], [8013, 10193], [91, 2777], [5856, 8853], [737, 7089], [936, 10682], [8004, 9326], [6996, 10290], [5631, 9674], [10574, 11020], [4688, 11033], [1517, 7429], [3849, 4047], [2166, 4842], [5132, 5762], [4373, 6676], [6685, 8304], [823, 8711], [10322, 11149], [205, 10584], [6055, 7908], [606, 4512], [363, 11170], [1602, 6197], [1788, 3169], [6715, 10398], [291, 9604], [4905, 9920], [8038, 10788], [2214, 5263], [845, 7911], [2333, 5894], [92, 8613], [6974, 10285], [7401, 10352], [6033, 6055], [5797, 7468], [66, 976], [3020, 10207], [1655, 10345], [253, 802], [812, 8902], [8535, 11190], [3461, 6917], [1369, 3343], [10183, 11340], [1675, 6833], [10959, 11561], [2739, 6932], [7775, 9223], [2316, 7768], [2484, 9796], [3380, 7867], [4283, 9361], [5110, 5383], [204, 9554], [6866, 9762], [6047, 6461], [4558, 8253], [1256, 1722], [6794, 10825], [445, 3200], [1307, 4693], [6503, 8397], [1401, 7738], [62, 9097], [1001, 11002], [2434, 9278], [3050, 11496], [5758, 6708], [2821, 11444], [6157, 10389], [677, 7680], [3134, 3273], [4009, 9889], [10191, 10426], [1946, 4801], [979, 5012], [2985, 3150], [1393, 4063], [3282, 9560], [6055, 9331], [2450, 9407], [1796, 10869], [1108, 4833], [6956, 8500], [7515, 10184], [6460, 10548], [6422, 7812], [3096, 7303], [8944, 10970], [205, 8974], [3279, 9639], [6795, 10245], [4273, 4835], [3212, 7636], [3301, 4675], [3397, 4383], [7836, 7916], [334, 6536], [3732, 7113], [4346, 8504], [2768, 7595], [6314, 10322], [2389, 10982], [1618, 8853], [9574, 10211], [1076, 10556], [10076, 11361], [4167, 9670], [586, 7888], [2731, 11096], [200, 3688], [5158, 10984], [5621, 5790], [8226, 10703], [2466, 2719], [289, 727], [5427, 5924], [7235, 10493], [5050, 10138], [687, 773], [3128, 5255], [3126, 8592], [1342, 9335], [10805, 11362], [1311, 9268], [4961, 10820], [880, 3797], [1248, 2503], [998, 1574], [2180, 2483], [1216, 7129], [4069, 5728], [2214, 6231], [317, 8760], [1462, 9787], [7405, 8056], [25, 1943], [6876, 8466], [1203, 5362], [4193, 10086], [1887, 5994], [202, 10126], [4094, 7074], [1255, 8935], [360, 11466], [6554, 9354], [3218, 10409], [2034, 8673], [2528, 2792], [5032, 11006], [6794, 8060], [1190, 7005], [5925, 6150], [1159, 5440], [1241, 1308], [3181, 7494], [72, 4768], [3925, 8177], [1220, 6066], [7562, 11022], [7658, 10730], [5, 6929], [5421, 10939], [2298, 10035], [2205, 3428], [7473, 8698], [6444, 11037], [1683, 11425], [3959, 10390], [6215, 8733], [2540, 3152], [3790, 8891], [2355, 3372], [708, 10994], [3313, 9491], [5713, 6802], [1611, 6072], [5460, 6356], [675, 2186], [6308, 8143], [1008, 8253], [1078, 8992], [8048, 11265], [2816, 5652], [1823, 7648], [696, 6446], [2263, 7166], [2251, 5651], [3749, 9240], [2904, 11134], [3007, 8603], [357, 10363], [1821, 10204], [629, 8607], [6079, 9195], [408, 6164], [7037, 10396], [432, 4306], [3052, 11005], [500, 9136], [2370, 8167], [4734, 9985], [3775, 10811], [3080, 9266], [3269, 5755], [6999, 11043], [3148, 7680], [1400, 8080], [8127, 8683], [7595, 9576], [3266, 5457], [7619, 7718], [145, 1216], [4591, 5920], [6562, 11419], [8730, 9915], [3938, 10990], [3666, 6330], [2565, 10513], [763, 9896], [9453, 9721], [854, 3598], [1110, 1309], [2937, 9338], [2161, 2701], [5550, 7696], [4562, 7784], [1288, 3301], [2712, 3743], [10373, 11569], [2033, 6838], [9531, 11482], [7602, 9592], [7848, 9244], [3018, 7583], [52, 1001], [4668, 7779], [7211, 11060], [4940, 6023], [5439, 6902], [2254, 8126], [11044, 11565], [6894, 9663], [7397, 11415], [6482, 8406], [1850, 6730], [3443, 7173], [1106, 9430], [1039, 8208], [2761, 6587], [2568, 6192], [1317, 7398], [5388, 6563], [4202, 8164], [2583, 7254], [10373, 10764], [3553, 3554], [1130, 10955], [67, 7294], [9008, 10902], [2814, 6598], [9896, 11364], [715, 6017], [10269, 10414], [2833, 4396], [5355, 7554], [6633, 8171], [1657, 7439], [602, 7803], [2356, 4996], [2703, 8487], [722, 6407], [2866, 3755], [1861, 4236], [3519, 5074], [4880, 7446], [1027, 10426], [3611, 8046], [3107, 6069], [9018, 11216], [4195, 10726], [575, 5606], [2796, 4864], [1612, 10298], [917, 8753], [5833, 6024], [4786, 11167], [674, 3333], [1260, 9092], [5243, 6158], [600, 9985], [8074, 10071], [939, 3035], [2033, 8261], [8196, 11000], [3428, 3801], [2748, 10458], [8758, 10703], [4866, 6585], [3988, 9093], [8563, 9481], [4366, 5481], [252, 3236], [3734, 10674], [3137, 4002], [3666, 9981], [4359, 7693], [4724, 6128], [519, 4519], [3576, 11219], [656, 7234], [3920, 4613], [2268, 7727], [1423, 9621], [3537, 4094], [5849, 9886], [3100, 8257], [5061, 8904], [3386, 8062], [1688, 7825], [1230, 6193], [1574, 6757], [4160, 4450], [6276, 9172], [8695, 10697], [1603, 5243], [513, 7306], [1483, 10022], [4706, 7400], [1695, 1799], [3909, 6302], [1469, 5428], [6355, 10404], [2933, 3017], [4106, 6846], [1879, 6989], [2987, 9669], [1029, 2123], [936, 1932], [4788, 5897], [8724, 9533], [808, 6850], [6472, 7956], [6969, 8762], [88, 3528], [4909, 8109], [1337, 3407], [213, 8892], [6563, 11457], [2862, 4655], [2599, 5773], [3013, 4824], [2753, 3207], [7331, 10282], [2503, 9448], [1453, 3740], [5685, 7926], [702, 5269], [3382, 9767], [883, 5280], [1755, 5209], [6132, 7864], [6574, 8963], [11188, 11531], [3112, 10845], [600, 1959], [3812, 5564], [4589, 8639], [7445, 10919], [2097, 7575], [5937, 10779], [3765, 9131], [1210, 3581], [1805, 4922], [2636, 11266], [5134, 9866], [63, 11526], [5290, 9625], [6501, 9774], [4634, 8008], [680, 10182], [4508, 9589], [3968, 5703], [1972, 2591], [1455, 10178], [8762, 11090], [569, 5655], [5426, 5729], [7891, 8353], [6650, 10247], [955, 2658], [3876, 5333], [6328, 7752], [6018, 9024], [3057, 9202], [758, 5527], [813, 5234], [130, 1794], [4854, 5688], [3437, 5636], [1775, 7308], [1472, 7499], [252, 3854], [8464, 9339], [5143, 9174], [9, 686], [959, 2026], [4954, 7023], [5317, 11047], [6662, 7224], [5734, 9615], [6037, 7172], [8965, 11018], [425, 11137], [678, 2915], [1149, 4752], [8277, 10617], [589, 3597], [453, 10152], [19, 7416], [6338, 10668], [395, 3731], [479, 1924], [4410, 5216], [7383, 8081], [2775, 9465], [9595, 10259], [2372, 7540], [1133, 10261], [1810, 9722], [534, 8397], [6876, 6937], [2022, 11298], [8061, 11527], [5946, 6249], [6202, 10376], [318, 636], [2893, 6838], [801, 3264], [7492, 8374], [3041, 7490], [2490, 9831], [9118, 11209], [9355, 10398], [7993, 10053], [8610, 8709], [2142, 5334], [1788, 4836], [3725, 7341], [1350, 11026], [7084, 11373], [16, 6313], [4186, 8867], [7830, 8719], [4119, 7645], [6693, 6829], [3778, 7352], [1963, 2366], [3406, 5494], [5959, 10217], [3112, 5047], [7408, 9026], [1596, 5016], [8686, 9643], [2497, 5683], [4173, 7881], [3061, 7711], [5919, 10818], [1493, 6766], [7589, 8283], [2585, 4749], [3397, 4627], [5069, 11587], [910, 10323], [4190, 8235], [10012, 10681], [614, 2633], [5130, 6578], [1186, 9440], [245, 10872], [6373, 11146], [169, 5400], [24, 9183], [4162, 9570], [244, 11401], [3358, 8055], [3561, 7660], [206, 2249], [5711, 8960], [5716, 9304], [1320, 10379], [6743, 6892], [2106, 9036], [2233, 11063], [446, 955], [1999, 10667], [3587, 5848], [2186, 4077], [5279, 6270], [5855, 11341], [7826, 10424], [466, 5744], [2193, 4467], [8750, 10543], [3717, 8523], [7785, 8171], [2305, 4708], [1028, 4693], [3646, 9811], [594, 1957], [2997, 9365], [1151, 9230], [2054, 4308], [7840, 11261], [3234, 8554], [1124, 10790], [739, 3809], [4947, 9853], [7001, 10691], [1495, 6007], [717, 9877], [6653, 9227], [1887, 9271], [6348, 8591], [2917, 10540], [5816, 8730], [7094, 10101], [21, 4697], [1757, 6946], [10721, 11504], [1765, 10971], [8391, 9270], [4067, 5495], [1176, 10576], [5844, 7745], [4378, 7077], [4054, 10925], [2288, 9965], [4796, 8529], [2650, 8102], [7006, 9880], [5240, 8920], [3898, 10762], [254, 330], [586, 9205], [586, 2789], [4491, 11276], [5329, 8211], [6502, 11286], [5972, 8088], [4265, 9243], [1658, 9919], [1307, 8938], [1178, 6084], [2241, 9745], [3564, 3719], [5750, 6928], [3162, 9566], [741, 798], [548, 6819], [6057, 11020], [950, 4355], [1103, 1187], [421, 4765], [6773, 10409], [667, 1788], [768, 8256], [42, 8152], [8817, 10559], [986, 3231], [4898, 8001], [10625, 11341], [2249, 6199], [6763, 9317], [3339, 8273], [2494, 10167], [2148, 3114], [4357, 7273], [2774, 6020], [4798, 11153], [2766, 5378], [3634, 7817], [6427, 11246], [2282, 7436], [5238, 6914], [477, 7302], [6650, 11483], [1612, 9119], [4752, 10404], [74, 6131], [9315, 10031], [6744, 10364], [1348, 3596], [4281, 7786], [1103, 3765], [480, 4540], [6849, 7155], [6162, 10389], [3274, 8571], [6075, 11144], [4080, 10886], [4197, 5055], [2829, 4922], [1484, 6466], [1262, 7585], [5317, 6217], [2540, 8202], [148, 10752], [2440, 11004], [3909, 11189], [1392, 6877], [1638, 3900], [1114, 10316], [2686, 4994], [2128, 6164], [4607, 6242], [6200, 8937], [3591, 6534], [2588, 7842], [1528, 7862], [1433, 4592], [4681, 7854], [1715, 7688], [6758, 10396], [1807, 4244], [6201, 8758], [848, 11486], [4663, 6524], [5845, 7433], [5007, 6334], [5041, 11580], [442, 4382], [11147, 11533], [1465, 3726], [7086, 8922], [1847, 3269], [4369, 6427], [210, 5163], [3721, 4671], [2934, 10707], [599, 7375], [1390, 8628], [2715, 4927], [4922, 6761], [8134, 10366], [2007, 7284], [2134, 9311], [3249, 8998], [2652, 4578], [3834, 5487], [3023, 6211], [3995, 4092], [3958, 4210], [1217, 6606], [1929, 10784], [1924, 4024], [2827, 6272], [681, 11507], [3983, 5960], [6930, 7604], [243, 9783], [1456, 5841], [3546, 8588], [4231, 6439], [6316, 9596], [2791, 10375], [4658, 5725], [3625, 9820], [1856, 10097], [767, 5215], [3150, 4831], [907, 10887], [4673, 5252], [287, 4763], [543, 2474], [3647, 9020], [8134, 9561], [696, 3470], [5352, 5540], [3958, 6438], [1288, 7546], [2598, 6920], [4016, 4164], [8274, 8817], [1625, 9568], [1150, 10241], [4147, 6310], [3758, 9009], [4194, 9539], [899, 4179], [892, 3008], [5711, 6008], [4134, 7953], [4062, 6387], [6020, 7517], [2852, 9846], [1416, 1473], [3662, 8897], [1543, 10293], [2746, 5663], [865, 7197], [2162, 6366], [1032, 11282], [5056, 8349], [2346, 5140], [10341, 10590], [3558, 8143], [10208, 11000], [2429, 10278], [2396, 8640], [2965, 11012], [3987, 7502], [2048, 11340], [3331, 5885], [7493, 11584], [4535, 4863], [1957, 8189], [868, 3307], [171, 1689], [8646, 10220], [7402, 8433], [3099, 5535], [9050, 10835], [6281, 11183], [88, 9733], [3156, 9452], [6425, 7929], [8288, 11451], [4934, 8894], [7606, 8613], [2274, 5802], [2377, 7435], [7640, 8197], [2874, 7487], [4090, 7980], [1972, 9601], [2094, 10530], [1657, 4113], [2708, 5505], [2240, 3939], [5225, 8319], [8592, 9583], [2563, 2872], [1250, 9616], [9937, 11422], [10081, 10420], [1241, 5366], [905, 5417], [2866, 10228], [6104, 8638], [5378, 8534], [10116, 10606], [4579, 10773], [873, 6633], [8648, 9111], [6251, 11317], [6060, 8339], [2484, 6901], [3607, 10613], [4570, 9906], [50, 9225], [2631, 3164], [2104, 10063], [573, 9000], [5580, 5635], [2132, 9078], [1791, 2369], [4524, 9911], [3270, 3272], [7889, 10348], [4334, 9787], [777, 8399], [125, 4272], [4924, 10003], [1686, 5177], [4234, 9556], [1746, 5228], [3482, 7477], [6433, 6611], [649, 10284], [1480, 3796], [7235, 11436], [2223, 8041], [2854, 11291], [8139, 9368], [4588, 6297], [3062, 5578], [2316, 7451], [669, 1487], [3618, 6210], [983, 9756], [1811, 6003], [6914, 8762], [8319, 11406], [50, 5387], [8511, 11576], [7631, 8753], [4573, 11250], [1624, 6527], [5734, 11282], [1364, 4910], [1718, 9572], [2831, 8432], [6654, 7495], [3118, 5456], [6447, 10400], [7658, 9795], [10108, 11387], [6071, 11052], [2298, 9100], [8337, 10083], [9636, 11577], [9801, 9924], [2201, 11419], [6807, 7710], [3782, 10347], [1631, 3160], [9758, 10227], [3870, 9413], [1511, 1523], [1473, 5203], [1256, 6666], [2656, 8966], [2863, 10198], [1631, 3510], [4575, 7889], [3274, 4814], [6911, 7659], [6477, 11339], [1434, 5625], [2430, 3900], [1466, 10798], [4924, 5010], [531, 9766], [4540, 8053], [3645, 4168], [7812, 9457], [2583, 8279], [5852, 6002], [965, 9469], [394, 10434], [34, 5927], [2173, 2931], [2415, 9634], [3134, 8567], [1546, 6970], [2265, 5903], [4852, 9456], [1705, 11164], [1483, 1703], [736, 4886], [5586, 9451], [3938, 7022], [5669, 8173], [253, 753], [1568, 11051], [2559, 8228], [2528, 6663], [3297, 5713], [1500, 3188], [2530, 6709], [940, 4285], [4484, 10349], [3266, 3367], [3601, 9507], [738, 6810], [2044, 3059], [2680, 6653], [4946, 5684], [3912, 7679], [7026, 7743], [703, 7755], [7812, 8652], [3392, 9333], [5726, 8276], [2894, 4892], [4902, 5385], [2641, 4446], [1895, 6319], [4756, 8943], [5706, 10283], [3727, 9030], [2638, 4148], [303, 7232], [6622, 10484], [2223, 5626], [4900, 5689], [2035, 5575], [1197, 4476], [8817, 10803], [665, 5369], [670, 5713], [7979, 9704], [2476, 8701], [7729, 8775], [167, 6590], [5308, 6423], [7133, 7963], [6639, 10838], [2441, 3984], [4182, 6577], [2181, 8783], [1694, 2249], [4339, 9944], [4520, 5818], [3186, 7521], [1906, 3825], [3139, 6951], [1533, 10410], [3450, 11539], [1345, 11113], [2897, 4385], [10132, 10147], [2324, 4523], [128, 11149], [8399, 11579], [4696, 11120], [1200, 7756], [3857, 9796], [8735, 10747], [5743, 9360], [4524, 8569], [6296, 6311], [1361, 5580], [3498, 8173], [6051, 6480], [550, 6304], [851, 3034], [5238, 10541], [3964, 10797], [853, 7244], [5175, 10192], [5462, 9468], [1680, 3266], [1528, 5878], [972, 7875], [2486, 5581], [1310, 1454], [1246, 10329], [8180, 8781], [492, 8177], [965, 3671], [4420, 4782], [994, 2911], [1458, 7741], [6186, 9125], [4627, 7512], [1055, 3564], [5628, 10295], [681, 879], [7365, 8982], [3745, 3862], [5892, 7897], [6991, 7051], [2249, 10899], [2450, 8903], [6176, 10285], [2788, 8898], [2750, 6162], [4763, 6999], [1621, 8297], [352, 8897], [3273, 11572], [1895, 6587], [5689, 7164], [336, 3476], [3739, 4397], [1591, 9559], [58, 6915], [1625, 8389], [3571, 8004], [4598, 4838], [7278, 9336], [8962, 11395], [4884, 8807], [3597, 3940], [1175, 7779], [397, 7485], [1608, 6880], [8354, 9445], [3306, 6393], [42, 2598], [3775, 11567], [4551, 11034], [7, 3543], [6427, 6847], [6446, 11061], [4106, 8139], [10212, 10344], [253, 10365], [1717, 10206], [3644, 9017], [874, 6511], [4019, 8894], [867, 5340], [6095, 7047], [8612, 9861], [4916, 10573], [2705, 11249], [3520, 4228], [3076, 7220], [1861, 10335], [1491, 4386], [3722, 4362], [5695, 6524], [5244, 8345], [1086, 9935], [2812, 11496], [8021, 8989], [6796, 11416], [6524, 6756], [1601, 9068], [362, 7625], [1759, 10408], [5515, 9747], [1256, 11285], [1535, 4284], [3904, 6446], [10001, 10817], [2066, 3920], [4335, 5851], [3177, 9500], [2585, 5424], [11169, 11269], [3795, 5348], [1450, 7744], [2551, 3561], [8710, 8810], [1332, 2770], [5936, 8814], [1077, 2251], [4963, 11462], [2697, 6769], [665, 7410], [5234, 10235], [1593, 10654], [2255, 9053], [2692, 9808], [3433, 6056], [2158, 2704], [3866, 9321], [2529, 5091], [593, 7692], [438, 4371], [5453, 11447], [4617, 4759], [2993, 3505], [7378, 10185], [7622, 10545], [4726, 11118], [1237, 2509], [495, 1872], [4605, 6627], [4567, 10307], [4192, 4768], [3939, 4322], [2617, 7540], [1727, 5527], [9636, 11203], [4438, 5174], [6318, 10555], [1078, 4300], [1766, 8838], [4305, 8967], [4129, 10431], [3651, 7423], [1688, 6703], [5891, 7485], [5612, 8070], [3831, 6078], [881, 4136], [872, 6302], [9779, 11080], [1713, 4666], [9185, 10341], [1678, 7863], [2425, 3182], [4518, 9610], [5700, 11273], [5284, 9143], [4637, 5360], [2460, 5620], [1080, 10388], [5342, 6115], [486, 9649], [6277, 6366], [1934, 2541], [1179, 1699], [2913, 9537], [4351, 8157], [6612, 6844], [5560, 10889], [8741, 8765], [6894, 9159], [4215, 6017], [2565, 2788], [5622, 9488], [6401, 8472], [3275, 11057], [5305, 7337], [3275, 4641], [5277, 5289], [7068, 7245], [2654, 11124], [7850, 10664], [2962, 9779], [7098, 9339], [7230, 8704], [6571, 9822], [4804, 6008], [1774, 4137], [991, 6909], [6758, 9648], [6316, 9303], [8217, 9145], [3085, 10529], [1297, 8120], [298, 9547], [3978, 8302], [1726, 7479], [9009, 10249], [184, 2063], [246, 2941], [5461, 6695], [2288, 8680], [3506, 9246], [4432, 6028], [6866, 9339], [6654, 8894], [207, 6396], [1138, 3522], [2163, 6699], [4434, 6074], [6646, 8252], [3629, 10750], [565, 1381], [4246, 10160], [1340, 3629], [3927, 11346], [3619, 7029], [2896, 10606], [6905, 8139], [3307, 5222], [5516, 10135], [214, 3029], [1062, 4816], [1686, 7649], [1180, 9009], [2553, 7234], [3456, 8728], [1095, 10591], [1021, 1782], [3785, 10889], [423, 10723], [5008, 5383], [5911, 7631], [1140, 2413], [4501, 9524], [6992, 11117], [5588, 7163], [8461, 11302], [5063, 9227], [3070, 11294], [142, 1032], [2604, 3385], [3913, 6321], [489, 4523], [3758, 9416], [5750, 9376], [4215, 10823], [227, 581], [2069, 9642], [9100, 11410], [1805, 11289], [1512, 8004], [4148, 5814], [4552, 6429], [2745, 9632], [5286, 6424], [6717, 8037], [4602, 9175], [873, 1079], [5351, 7950], [7962, 10399], [7277, 9542], [6031, 11092], [5647, 7719], [84, 8917], [5249, 6892], [5240, 9058], [4840, 11568], [3499, 9848], [6166, 9223], [5460, 8243], [5295, 6486], [10902, 11222], [3495, 6696], [2805, 5495], [35, 2989], [1688, 9899], [6266, 9804], [3248, 9448], [3828, 5593], [2867, 3340], [3328, 4489], [9396, 10374], [10614, 10940], [5010, 9885], [1806, 10305], [4975, 10830], [1363, 9735], [3751, 10449], [9358, 11021], [1118, 9904], [179, 2337], [7744, 8203], [2634, 3519], [7369, 8326], [3914, 11379], [5839, 10117], [1768, 10952], [774, 10094], [2544, 11173], [9053, 10385], [4837, 7863], [663, 1403], [6404, 9337], [7574, 8731], [3883, 9033], [4346, 4593], [478, 5787], [2439, 6434], [2592, 6676], [10718, 10889], [5434, 9250], [2041, 3355], [1230, 10495], [6431, 10379], [3279, 10989], [4958, 6288], [1277, 3144], [1349, 5464], [7281, 11488], [3674, 4321], [1924, 10310], [964, 1866], [4234, 9613], [2333, 2601], [2047, 6179], [7561, 10724], [741, 3514], [3726, 7894], [7217, 10914], [7585, 8866], [7751, 10067], [4219, 4794], [9480, 11145], [1326, 9802], [5529, 10584], [1645, 11245], [9078, 11330], [1852, 2678], [11, 2887], [9163, 10879], [2993, 6969], [5953, 6566], [1340, 9858], [75, 7194], [6324, 8953], [1002, 6830], [5795, 9363], [10055, 10679], [1841, 4367], [3983, 8058], [347, 8067], [5877, 10893], [7838, 11540], [5321, 7228], [4481, 5302], [966, 1888], [1499, 4603], [7378, 7583], [2077, 10501], [5418, 9790], [613, 6496], [5910, 10252], [4905, 10733], [5818, 10663], [6276, 11514], [2346, 4660], [5589, 8332], [1069, 6897], [4534, 8696], [1845, 7118], [4530, 5544], [2040, 10969], [729, 7960], [7198, 7773], [2678, 4840], [1227, 5204], [2490, 11205], [5418, 8635], [1501, 7658], [4795, 6377], [6135, 10878], [8740, 9375], [6506, 6849], [5604, 8209], [2392, 4604], [4355, 6078], [5005, 7126], [3327, 9019], [9082, 9489], [4352, 5026], [5217, 8702], [2572, 6642], [6615, 10175], [519, 6406], [1577, 5559], [1270, 10512], [4157, 5689], [2040, 10164], [1937, 2869], [3112, 6771], [4450, 8193], [847, 4932], [7777, 9304], [1687, 5323], [1146, 8382], [2517, 5780], [8903, 10254], [1214, 6796], [555, 744], [2604, 7654], [5102, 6254], [4842, 11053], [3486, 9025], [4692, 8076], [2006, 10179], [1209, 9081], [2594, 3933], [9701, 11173], [5398, 6023], [8209, 9284], [8727, 10967], [1387, 7663], [8078, 10521], [3317, 10155], [7854, 10813], [6147, 7050], [1355, 5873], [112, 6940], [10814, 11164], [6511, 8266], [2558, 11042], [6613, 9674], [684, 8859], [4832, 9934], [6, 2757], [2560, 11088], [3675, 10775], [1842, 8593], [2931, 6305], [493, 2094], [255, 3434], [685, 8680], [2240, 6387], [5040, 10987], [1169, 2084], [1175, 3030], [5404, 5787], [6826, 9566], [138, 3973], [3348, 10915], [9564, 11036], [2678, 5458], [5797, 5866], [4406, 7035], [8683, 10240], [8184, 8607], [4868, 8786], [7284, 10794], [6262, 7888], [4706, 10710], [3180, 9991], [380, 3856], [2398, 9201], [2960, 11156], [94, 1772], [961, 3609], [3041, 3416], [2242, 8661], [3480, 9879], [429, 7131], [8978, 9757], [5554, 7959], [2562, 6572], [3444, 7189], [8445, 9671], [7760, 9568], [7, 10821], [1279, 1824], [2694, 11572], [8793, 10354], [1978, 3488], [7107, 8222], [694, 8718], [6822, 8238], [5079, 8982], [1459, 3862], [1405, 7009], [2654, 2724], [3242, 3648], [654, 2122], [1499, 10027], [1083, 7897], [184, 9528], [6242, 7555], [10168, 10503], [767, 2938], [574, 8959], [54, 7203], [921, 6788], [2134, 2846], [4374, 7072], [141, 9077], [1514, 7302], [7665, 8526], [6889, 9059], [1697, 9638], [637, 3996], [2903, 5279], [1158, 2944], [3377, 8545], [600, 10530], [4335, 9746], [6983, 9071], [8994, 9081], [5009, 9690], [2371, 2385], [8440, 11124], [3433, 8073], [5164, 9978], [369, 5120], [1334, 7492], [10234, 11099], [6593, 11518], [2080, 4838], [4784, 7478], [5589, 6185], [1762, 9632], [2985, 10542], [1206, 5213], [1920, 4556], [6341, 10893], [1771, 10849], [3872, 11533], [9412, 10883], [6468, 6504], [6734, 10595], [3396, 8571], [5391, 8048], [4110, 10543], [443, 5577], [5603, 9624], [4147, 9644], [3206, 5414], [100, 8621], [2116, 6723], [784, 9253], [91, 4371], [5815, 10446], [3141, 9900], [1252, 5157], [5565, 10271], [2834, 6185], [5475, 7345], [361, 2919], [3886, 5523], [3719, 6349], [484, 1040], [3763, 6621], [3622, 6416], [3888, 4815], [6591, 11017], [204, 8570], [6554, 11135], [8823, 9683], [664, 9494], [425, 810], [855, 6810], [846, 8976], [630, 1215], [1280, 2263], [5354, 7361], [4641, 9374], [1121, 1452], [4419, 4831], [7130, 10140], [3305, 7998], [3243, 7120], [282, 7298], [2424, 3819], [6723, 11479], [2184, 10748], [1341, 9305], [1642, 10199], [5253, 7659], [2827, 4963], [1057, 6513], [1300, 4019], [7779, 10936], [8550, 10813], [1265, 7216], [7868, 10227], [6953, 7218], [6354, 9518], [9158, 10854], [1281, 8099], [4082, 9918], [2129, 3470], [1659, 10903], [6733, 9514], [4675, 11186], [480, 10265], [3548, 9984], [3493, 3861], [4176, 9553], [781, 6995], [571, 3213], [2584, 4050], [743, 4259], [595, 1355], [3864, 5494], [491, 6667], [59, 594], [3978, 5781], [9081, 9294], [1330, 4204], [1799, 10132], [3356, 10164], [672, 2514], [1210, 3321], [2488, 10354], [2256, 4369], [7369, 8570], [4222, 6114], [1051, 2510], [829, 3629], [2324, 9199], [7298, 9858], [4354, 5479], [6052, 11408], [6150, 8533], [2104, 10364], [9065, 10639], [1479, 1644], [3130, 7727], [7892, 10947], [3341, 8701], [2090, 9153], [1185, 6832], [3050, 5519], [4827, 10021], [2535, 3353], [2676, 2834], [3298, 8250], [3396, 9539], [9550, 10280], [3419, 9708], [5473, 11300], [6694, 11383], [3764, 4458], [2764, 5283], [9926, 9978], [8576, 10424], [5162, 9314], [634, 2356], [9515, 11575], [1878, 7526], [3179, 3431], [4097, 6711], [8603, 11466], [4988, 10854], [286, 2023], [5949, 10074], [1395, 6776], [10049, 11108], [5733, 11358], [3041, 3847], [184, 10764], [6751, 11112], [934, 2594], [4380, 8123], [1789, 7080], [1288, 3122], [2910, 10719], [2077, 7712], [4998, 10387], [4776, 11506], [2842, 2856], [672, 4287], [197, 4960], [1785, 7311], [4747, 9987], [3587, 6393], [3346, 8216], [570, 977], [3864, 6112], [1006, 3759], [7635, 11401], [999, 6752], [1090, 8368], [651, 5288], [2213, 5664], [1330, 4822], [7002, 10707], [3229, 8755], [8872, 9738], [5596, 10844], [4595, 5809], [7755, 9224], [300, 7690], [3286, 8508], [177, 6536], [8642, 10215], [120, 6002], [4812, 7729], [3819, 8971], [1587, 9524], [3998, 4772], [5551, 8068], [1798, 7492], [4279, 10649], [7727, 9835], [5748, 8582], [894, 8025], [450, 11017], [2697, 5834], [1950, 10515], [4863, 6913], [5238, 6036], [5243, 7134], [5079, 5225], [2155, 10920], [5364, 8592], [5455, 7956], [3082, 4140], [6519, 10307], [9587, 10780], [1027, 10247], [6004, 8171], [2611, 5686], [3211, 10377], [2141, 9709], [1494, 5926], [9393, 10914], [5222, 8135], [7128, 8321], [6400, 11554], [1018, 9380], [4421, 10301], [2580, 9756], [3299, 9443], [4477, 6446], [1798, 3304], [3417, 4968], [6345, 8814], [8704, 10288], [3532, 4726], [4342, 10193], [7334, 9328], [5804, 6955], [1661, 6224], [1912, 3591], [3226, 11035], [9974, 10263], [8391, 9010], [1567, 10726], [1409, 2970], [2289, 9176], [6, 6034], [391, 6599], [2182, 8555], [7765, 8733], [7049, 9317], [1228, 9725], [1120, 6250], [636, 9813], [7718, 8917], [1690, 11476], [3519, 4090], [509, 7759], [3515, 6600], [223, 4921], [3449, 8232], [11513, 11567], [4605, 7920], [1649, 2026], [1702, 5824], [4852, 7797], [528, 8940], [3317, 9244], [3907, 6831], [4044, 6540], [489, 1815], [308, 10105], [2321, 4526], [428, 2293], [2819, 8186], [927, 8807], [1283, 10162], [2461, 7165], [1280, 9110], [4329, 8752], [1440, 4080], [631, 1467], [3616, 6601], [4357, 7013], [2671, 4881], [2366, 10661], [5320, 9312], [338, 1595], [6523, 8065], [7529, 11192], [733, 7786], [3193, 10066], [7523, 10623], [6613, 7958], [641, 2535], [3753, 8188], [2822, 11062], [5711, 9318], [8388, 9381], [2060, 2633], [845, 5748], [5053, 6874], [8010, 9960], [9873, 11230], [2688, 5585], [1098, 3161], [1688, 4158], [3241, 8952], [94, 4244], [5598, 7347], [9061, 9073], [4388, 5144], [3331, 8845], [4547, 9338], [2926, 4595], [1548, 6780], [1109, 9362], [5107, 7460], [243, 11133], [3632, 8958], [1791, 2751], [6369, 9826], [9132, 9663], [7829, 9925], [3407, 9779], [3874, 6212], [1778, 5148], [4680, 7773], [7536, 10053], [2247, 3906], [3804, 3938], [6601, 9021], [4839, 5551], [8092, 10685], [2032, 9579], [4102, 4534], [7097, 9602], [1842, 9455], [10807, 11205], [3505, 9913], [361, 3968], [2836, 7280], [205, 3428], [4635, 7599], [2911, 8393], [7611, 7729], [5832, 8816], [4849, 5084], [2347, 9748], [795, 1392], [1789, 8666], [5682, 9222], [784, 2731], [7421, 10988], [6394, 7738], [7607, 7960], [1371, 3430], [6, 2814], [1031, 5991], [2703, 10699], [8685, 11148], [1873, 7963], [8497, 11097], [6976, 10722], [4262, 10777], [5566, 6953], [2489, 9400], [1856, 9487], [6529, 7000], [6561, 11419], [3691, 10961], [4663, 8842], [1707, 9364], [492, 6063], [5750, 6481], [5194, 8478], [1667, 9965], [6675, 9454], [21, 9861], [6991, 7970], [4584, 8734], [831, 8912], [2471, 4283], [5344, 8422], [10786, 11401], [6829, 6888], [7637, 11528], [1128, 1736], [7819, 11010], [3585, 4499], [1382, 2784], [1437, 9661], [2022, 3898], [572, 700], [2549, 6044], [2120, 10068], [4324, 8221], [2421, 6798], [688, 8230], [5972, 9869], [4914, 11470], [6593, 6769], [7193, 8454], [3511, 8118], [90, 10755], [7430, 7643], [5188, 6754], [520, 3923], [3131, 5618], [2785, 4981], [1981, 6876], [458, 5674], [5119, 8088], [5558, 8889], [174, 9298], [7354, 11189], [6917, 8182], [6423, 7647], [8482, 8829], [3088, 9304], [199, 4632], [3647, 10988], [1100, 9463], [6516, 11221], [2187, 7102], [1965, 8975], [2987, 5465], [6639, 9342], [7227, 9512], [8839, 10005], [66, 2009], [7213, 11334], [3240, 9294], [438, 834], [1479, 7954], [51, 3606], [23, 8728], [7553, 11375], [1524, 4664], [9631, 10355], [1728, 8631], [1328, 4725], [4368, 8812], [1126, 6496], [3092, 5235], [845, 4756], [5540, 6000], [5269, 11364], [1289, 11563], [2935, 10886], [411, 4649], [4204, 8007], [1437, 11434], [5042, 9106], [10484, 11331], [28, 4884], [8463, 9852], [3847, 6457], [6186, 10662], [8832, 11412], [2475, 5424], [1423, 10223], [6275, 9199], [5685, 5950], [6767, 9661], [232, 11480], [5846, 6807], [2006, 3633], [760, 7435], [6837, 8902], [3729, 11282], [1639, 2119], [2079, 8807], [1360, 2704], [4753, 9353], [276, 4582], [6678, 9589], [5551, 6889], [10378, 10504], [1164, 2011], [66, 6465], [5697, 9343], [1939, 9177], [3331, 6698], [8100, 11089], [1804, 8760], [5663, 9732], [4737, 10698], [1779, 10393], [377, 5014], [6199, 7460], [7376, 8025], [2014, 6503], [2358, 7067], [6349, 8158], [6780, 9842], [3043, 4137], [6248, 6571], [18, 358], [10789, 11512], [2312, 6318], [9037, 10258], [1468, 5404], [5327, 6376], [7484, 11099], [10096, 10767], [3957, 6170], [9898, 10028], [3, 1174], [4648, 9471], [5804, 9159], [5732, 7593], [6707, 11407], [7070, 9015], [938, 5589], [3051, 3624], [4585, 9122], [1156, 6980], [5483, 10272], [8814, 8873], [2615, 10641], [6357, 11028], [1405, 7684], [937, 6118], [7414, 9956], [2092, 7833], [2359, 5733], [5819, 7188], [9521, 10428], [3889, 11489], [4255, 8614], [2761, 6652], [390, 7827], [8048, 9720], [1446, 9563], [4589, 4703], [580, 754], [7331, 10079], [763, 9506], [880, 10091], [3813, 8619], [3154, 7485], [1591, 9136], [3776, 6485], [6924, 8385], [1589, 6057], [1496, 10030], [2528, 7208], [8684, 8776], [1621, 8224], [1404, 10441], [695, 5026], [5597, 10535], [5754, 7486], [1210, 6411], [1903, 10539], [1533, 5344], [2431, 6494], [1032, 7802], [60, 7669], [2228, 6165], [4416, 9447], [6284, 7651], [2571, 5750], [10265, 10306], [3381, 11217], [1260, 2741], [3223, 4215], [1144, 5010], [6030, 9986], [2503, 11473], [8353, 9551], [772, 3152], [77, 8023], [3545, 10093], [4375, 6413], [5861, 7733], [2977, 10575], [864, 6124], [1095, 1361], [3037, 8374], [4406, 4945], [10182, 11210], [6825, 10634], [5486, 5577], [6050, 7605], [2433, 6166], [287, 5739], [1684, 8522], [217, 10635], [348, 730], [7290, 9623], [843, 7125], [6787, 8248], [1649, 8686], [1496, 6192], [4732, 10191], [3674, 4622], [3109, 9539], [3945, 9811], [125, 8013], [4569, 5474], [3566, 6782], [6628, 6656], [7331, 11502], [511, 4292], [1918, 7763], [5056, 8975], [5584, 11346], [4433, 9750], [9565, 10995], [6803, 8350], [1858, 6177], [2500, 3200], [667, 8188], [7415, 7416], [166, 9892], [6394, 7364], [1846, 8045], [8780, 10661], [3064, 9365], [320, 910], [1034, 6669], [4172, 7127], [1677, 6546], [2578, 11377], [5642, 8668], [3390, 7091], [1844, 8349], [3015, 4935], [2643, 9493], [5475, 7215], [5000, 7888], [2613, 10782], [1354, 1547], [2322, 9852], [232, 689], [6186, 9670], [799, 6398], [7488, 10681], [4713, 7831], [1299, 6721], [979, 5053], [7548, 9234], [7582, 8064], [6763, 11179], [3497, 10721], [2385, 11305], [1604, 4324], [1941, 7127], [8878, 9260], [297, 7850], [5928, 11482], [2088, 4144], [2585, 4196], [2867, 7292], [2862, 6948], [3832, 10418], [1194, 3113], [2907, 10074], [6883, 10133], [1344, 9473], [3944, 7626], [8868, 8922], [24, 2214], [994, 5684], [2797, 9155], [5161, 10973], [87, 284], [86, 6475], [8587, 9811], [2888, 5486], [5374, 8987], [3877, 6754], [4659, 10173], [7544, 10939], [261, 1753], [3459, 7180], [2437, 4274], [1695, 10053], [1781, 9073], [291, 3847], [17, 11192], [6612, 7926], [1851, 7560], [9817, 10360], [1221, 7164], [8077, 10621], [1666, 7780], [5520, 9162], [4835, 8305], [413, 8159], [6323, 7042], [6101, 8161], [10748, 10869], [2680, 10044], [8380, 11561], [1307, 6157], [5727, 9640], [5073, 11102], [5321, 8952], [3674, 5240], [147, 311], [7433, 9014], [6373, 9788], [6718, 10200], [395, 10212], [6863, 7171], [155, 9971], [49, 3159], [1980, 11511], [2353, 7555], [2626, 2991], [907, 8293], [2283, 6035], [8630, 11335], [7800, 7845], [383, 2631], [2442, 3813], [1473, 10367], [74, 10921], [2992, 7663], [2770, 8782], [1717, 6563], [8155, 11227], [7167, 11315], [5973, 8891], [5601, 7033], [869, 8159], [5233, 7546], [7807, 10894], [5035, 7561], [7058, 9086], [1213, 9100], [6433, 6782], [9457, 11090], [5185, 7505], [8263, 8666], [2917, 6149], [3575, 7058], [710, 1282], [8860, 10053], [7799, 10602], [5854, 9707], [5668, 10483], [5086, 7095], [3212, 11328], [623, 4696], [5724, 7382], [3791, 8002], [3770, 7125], [3307, 5149], [3214, 9122], [9745, 9813], [7914, 10710], [1216, 8593], [3294, 10579], [780, 5030], [6318, 7717], [2639, 5400], [2425, 11298], [303, 2597], [7274, 9976], [6430, 9062], [3588, 4236], [4527, 7639], [6614, 10869], [1916, 9327], [2876, 4939], [4856, 9800], [1036, 8002], [3761, 5103], [6412, 10361], [414, 5969], [4271, 10278], [5947, 8312], [910, 6550], [2271, 9676], [34, 2715], [5481, 10202], [426, 5979], [3294, 9774], [8180, 8334], [5599, 7979], [998, 5616], [3007, 9717], [5063, 11382], [4562, 6670], [2136, 3974], [6676, 8313], [1288, 5570], [2721, 10262], [5305, 7882], [1846, 2865], [2441, 11376], [4929, 8534], [1008, 6684], [168, 8922], [1684, 2537], [319, 2675], [5606, 7995], [403, 7284], [905, 8434], [504, 8090], [4508, 5279], [3124, 7619], [7532, 9587], [1952, 6674], [1773, 5211], [3677, 8734], [3023, 10196], [3, 6761], [5246, 6147], [6632, 10993], [10863, 11571], [1354, 2783], [452, 10559], [457, 10903], [4259, 11341], [8428, 11041], [9085, 9850], [3388, 5598], [1485, 4929], [4757, 8585], [3169, 6988], [3004, 8641], [3468, 7055], [2162, 4390], [4252, 11301], [2093, 6505], [2745, 4216], [301, 6576], [1920, 8240], [2155, 6602], [10687, 11503], [379, 11370], [3715, 10315], [5484, 8540], [1869, 3764], [3178, 6700], [1397, 4708], [7470, 10937], [3466, 6578], [741, 3091], [3677, 10962], [4675, 10064], [7, 63], [7229, 11225], [651, 3548], [6593, 11014], [3350, 5090], [5500, 8642], [772, 5006], [4321, 11414], [806, 3836], [2131, 11469], [1849, 1957], [3009, 8180], [4279, 5526], [2350, 9298], [4370, 4890], [10383, 11068], [1571, 6527], [3279, 6728], [1187, 3154], [2843, 3165], [45, 11443], [4990, 7200], [2065, 7035], [946, 9858], [4430, 5291], [7413, 9598], [9180, 11160], [5102, 10824], [1349, 11002], [2865, 11033], [4508, 10085], [4575, 5645], [471, 4088], [2603, 6337], [1242, 3211], [1424, 4945], [7740, 8680], [4629, 5127], [2423, 11065], [3631, 6779], [6000, 8941], [7340, 11190], [4728, 9270], [3066, 10942], [6586, 9038], [1085, 8862], [4318, 6928], [541, 7486], [740, 8827], [759, 8877], [5771, 5856], [2626, 4227], [9237, 11263], [4282, 8402], [2446, 8955], [6522, 8464], [1259, 1286], [200, 10576], [2629, 11291], [5275, 9789], [385, 8077], [6611, 10384], [3275, 9187], [6477, 7940], [1556, 10325], [7690, 8162], [8808, 11530], [9095, 10806], [1122, 7589], [160, 8898], [277, 3067], [9185, 10699], [4039, 10522], [3705, 4984], [2856, 5978], [3133, 8730], [4258, 9105], [9294, 10642], [2047, 7529], [335, 3422], [467, 5793], [3010, 9828], [2912, 6287], [4095, 4388], [3138, 6041], [7804, 8799], [1421, 1590], [77, 1851], [3294, 6554], [2972, 10475], [2160, 8345], [5890, 7217], [6555, 10051], [5121, 11550], [2805, 8268], [1227, 7359], [3553, 6441], [1414, 7185], [1772, 4449], [4208, 8587], [1625, 7405], [7977, 10797], [3355, 9085], [9901, 11562], [5787, 9317], [4758, 9404], [5721, 10949], [2791, 10440], [3254, 6000], [3789, 6509], [6808, 9719], [6925, 11058], [3255, 5821], [1360, 9177], [598, 6410], [1043, 7026], [7271, 10914], [888, 3705], [2033, 11148], [10590, 11383], [3271, 6704], [11173, 11209], [8530, 9976], [8478, 9786], [9001, 9561], [5324, 10323], [1907, 3280], [1083, 6051], [780, 2078], [2795, 3742], [181, 7411], [9998, 10690], [8116, 8646], [10393, 11219], [5345, 8167], [123, 7406], [4577, 5555], [655, 9896], [560, 6626], [835, 8551], [6394, 6453], [1512, 8012], [6746, 8036], [1197, 6688], [6962, 8600], [6114, 6813], [4097, 9240], [2601, 9861], [2246, 11390], [2554, 9291], [5702, 8939], [3238, 9923], [8196, 10049], [6725, 9037], [1553, 10645], [7788, 8534], [6470, 8518], [5231, 7075], [6755, 11131], [6010, 10223], [6280, 7640], [3539, 10036], [2866, 11448], [4540, 8655], [10111, 11482], [5367, 8841], [3288, 9636], [1297, 6868], [3480, 9806], [7733, 10705], [4490, 5535], [5907, 9694], [6743, 9966], [8517, 8535], [697, 1396], [566, 2633], [4338, 10776], [1590, 5585], [1755, 8096], [1569, 4708], [9279, 9797], [10249, 10261], [1407, 6632], [3458, 3789], [2623, 6371], [2024, 5288], [8187, 8781], [722, 9912], [5942, 7594], [1427, 10667], [2110, 8445], [8560, 10460], [7316, 8673], [9393, 11215], [3020, 4694], [7302, 10495], [5415, 11460], [396, 6894], [7806, 9439], [1173, 9969], [2109, 7439], [2723, 9584], [5305, 10541], [131, 8316], [3312, 6192], [4181, 6604], [5591, 9592], [1818, 8394], [128, 8018], [389, 6073], [9062, 10455], [5521, 8072], [195, 6207], [1804, 3019], [410, 8081], [601, 1233], [7256, 10096], [1141, 4395], [2434, 6798], [784, 3569], [1343, 5253], [2330, 5694], [1299, 10616], [3262, 5674], [5512, 10588], [1703, 2563], [5956, 7626], [5843, 7160], [1729, 7167], [3563, 9951], [3571, 10566], [985, 9867], [9662, 10985], [5993, 9356], [2404, 9965], [1356, 5084], [3152, 8138], [1445, 4375], [4523, 5536], [4118, 7702], [2836, 8841], [6007, 10193], [1060, 7193], [5518, 7750], [7130, 7489], [1927, 7532], [1875, 7342], [1464, 5556], [6409, 7729], [505, 6382], [4180, 5547], [6943, 11046], [8787, 11108], [902, 3574], [1270, 1526], [9745, 10057], [4358, 7539], [2121, 6994], [3883, 4048], [7773, 11503], [5192, 11148], [3356, 5285], [1740, 8056], [2268, 10427], [2978, 11526], [5662, 6344], [870, 11583], [457, 3308], [2607, 11024], [7371, 10153], [2163, 9098], [671, 7209], [2630, 4777], [233, 6983], [7389, 8480], [8662, 8753], [6774, 9116], [4928, 8981], [5031, 9860], [2244, 4741], [1843, 4397], [4181, 4994], [2568, 7282], [8781, 9384], [1558, 7419], [5336, 7463], [4486, 9013], [2715, 3545], [11180, 11388], [2964, 10665], [2219, 10511], [3946, 4346], [248, 1979], [497, 4935], [1770, 5208], [11231, 11326], [4600, 6267], [3356, 4480], [4870, 7848], [2638, 8401], [1328, 1830], [8051, 9107], [2669, 6933], [4936, 8818], [979, 4305], [165, 8518], [4895, 6565], [9344, 10786], [4306, 8422], [725, 6640], [3304, 10332], [1351, 3130], [2944, 5825], [8844, 9682], [563, 2148], [2653, 9059], [3532, 5995], [4497, 9121], [1616, 3586], [313, 4602], [6249, 8116], [559, 8041], [3981, 6760], [9151, 11495], [8466, 10638], [7407, 7850], [1806, 10476], [1369, 4059], [517, 4782], [6776, 7983], [3280, 4619], [5026, 7556], [1452, 9197], [2971, 6493], [194, 2816], [572, 1456], [8264, 9349], [4871, 7618], [5079, 7567], [6013, 11380], [5459, 7788], [6481, 6530], [970, 5666], [4796, 11416], [6893, 8918], [1212, 5953], [1787, 11523], [9535, 10680], [317, 1287], [4487, 10257], [4045, 9912], [1185, 3726], [2714, 8880], [472, 1575], [7225, 7563], [1244, 10722], [1177, 9500], [2736, 3943], [2354, 3649], [1452, 11425], [2104, 9136], [803, 10979], [235, 5045], [9233, 11439], [1174, 2786], [202, 2653], [6153, 7953], [862, 5143], [9948, 11384], [10974, 10999], [630, 11209], [6920, 9559], [4086, 8758], [3112, 8552], [10150, 10737], [2314, 10235], [2376, 4697], [4172, 6997], [3587, 4092], [3730, 10816], [751, 9634], [7652, 9858], [3104, 10539], [91, 10527], [5227, 10016], [1679, 6462], [5848, 6162], [899, 7253], [3139, 6561], [5446, 7845], [3168, 11463], [831, 8058], [6187, 9011], [2093, 8172], [725, 3875], [1191, 9532], [790, 2018], [5115, 5237], [4617, 10622], [173, 329], [3681, 6736], [2031, 3507], [8591, 9854], [2465, 3964], [4183, 11269], [6600, 10469], [6660, 10520], [693, 5441], [4855, 10386], [7477, 10742], [6911, 7887], [9027, 9603], [3296, 7275], [5419, 5998], [584, 3993], [1614, 10924], [146, 10183], [6687, 9310], [1797, 7598], [2110, 5843], [372, 2767], [2827, 11119], [79, 11590], [6655, 10526], [549, 1905], [7962, 10383], [10720, 11374], [2786, 7331], [2201, 4426], [4097, 4678], [7201, 10470], [5088, 6019], [6519, 9884], [7453, 11445], [719, 9671], [507, 11478], [634, 673], [7354, 10685], [2996, 5828], [752, 4112], [5364, 8519], [787, 10714], [8629, 8752], [878, 4416], [2249, 7476], [3708, 6973], [4570, 6214], [6097, 10541], [467, 8265], [4971, 10695], [3762, 4176], [1172, 6741], [2937, 7476], [2822, 6183], [1905, 6511], [8011, 8716], [759, 1095], [1378, 10000], [1250, 8502], [5326, 8011], [2184, 5145], [348, 9862], [8567, 10102], [5298, 5963], [9525, 11303], [1657, 6382], [6292, 6821], [4329, 6101], [755, 1326], [878, 10027], [2865, 5479], [6432, 6831], [6478, 7176], [3649, 9725], [3862, 4356], [2052, 3124], [1398, 4586], [1519, 6044], [2768, 8929], [4936, 6671], [6961, 9023], [3980, 11178], [3256, 5485], [6154, 10620], [4276, 10947], [6896, 8224], [2288, 5444], [151, 2127], [2437, 8950], [5916, 10455], [6234, 9044], [2225, 10757], [1625, 2656], [2583, 8775], [5766, 6724], [2087, 4407], [2907, 10562], [8931, 10513], [9717, 11422], [2933, 3115], [70, 418], [3112, 5332], [10087, 10201], [4070, 6533], [3550, 11193], [1987, 4176], [2859, 4105], [216, 2872], [5061, 7847], [9078, 10159], [6898, 10148], [4914, 8551], [1108, 10623], [6710, 10851], [1108, 4207], [5925, 7134], [5744, 8254], [6329, 11159], [10938, 11131], [198, 11341], [640, 5270], [237, 10515], [13, 10807], [889, 1810], [393, 4612], [5836, 8193], [2971, 8079], [5885, 8085], [4109, 8689], [2330, 3360], [2806, 3289], [1366, 3842], [2014, 8227], [7287, 10431], [4198, 8357], [1426, 11440], [2321, 2493], [684, 10803], [5911, 9656], [3196, 6103], [2483, 10368], [456, 11353], [2102, 10676], [887, 959], [1201, 2812], [349, 9951], [1811, 7467], [3368, 7499], [3559, 4815], [295, 1020], [503, 7385], [5329, 8146], [2650, 11420], [8775, 11423], [2876, 10420], [7886, 10736], [8163, 9324], [313, 10644], [29, 10885], [836, 10419], [5230, 8517], [1456, 9346], [4195, 10287], [4570, 9410], [4064, 11524], [889, 6266], [3318, 6981], [1170, 9891], [950, 1257], [1849, 6015], [2136, 9455], [6840, 8533], [1888, 5189], [6585, 7260], [1130, 9711], [1968, 4394], [3297, 7982], [6540, 6736], [3183, 11078], [3647, 9492], [3707, 9543], [2181, 2408], [2420, 4676], [2218, 7171], [5912, 10550], [3758, 6098], [2868, 8973], [9674, 11589], [3227, 9091], [4142, 6438], [2270, 4328], [6192, 9786], [4222, 7895], [5407, 6069], [6644, 6685], [2134, 10856], [4273, 7860], [73, 6595], [1010, 6919], [3723, 7393], [4404, 10006], [5457, 8815], [5555, 9350], [1606, 5452], [1193, 10009], [3500, 11293], [5681, 11152], [7047, 8206], [5514, 6316], [2401, 9106], [11277, 11565], [2428, 10929], [4570, 7450], [5705, 9267], [566, 3845], [7788, 8591], [6596, 6994], [2743, 9220], [2492, 5437], [644, 8639], [80, 195], [3393, 3852], [2290, 7962], [5156, 10930], [115, 2633], [2262, 5914], [488, 7345], [2164, 3127], [2829, 5207], [4909, 8020], [3479, 9261], [3131, 5545], [2878, 5099], [2443, 4390], [8886, 10152], [4643, 5053], [8065, 10188], [8347, 9120], [7882, 11235], [5583, 9812], [4673, 7147], [8413, 10871], [6567, 10736], [759, 9097], [2335, 3517], [6543, 8807], [5793, 8309], [4045, 4545], [3365, 4786], [7905, 8371], [1985, 3138], [3139, 8415], [403, 11155], [721, 9744], [2206, 8210], [9494, 11324], [303, 1125], [1731, 5473], [10364, 11180], [340, 10806], [1085, 4544], [2332, 10766], [4064, 9109], [1726, 2096], [4253, 5598], [1352, 5827], [4096, 7112], [944, 4312], [3528, 7594], [947, 7993], [1640, 5705], [9100, 9865], [1782, 5007], [944, 4662], [1286, 7809], [164, 11115], [1434, 7707], [6046, 7950], [36, 5453], [2928, 3226], [5199, 9017], [5500, 5747], [8115, 9096], [1298, 7819], [2074, 8040], [6197, 10748], [5774, 8201], [6534, 7889], [5058, 5779], [4063, 6948], [8796, 9430], [4126, 11434], [136, 10945], [1664, 6829], [3818, 4865], [3227, 10059], [7293, 8880], [734, 6141], [1104, 4920], [1792, 5294], [4932, 6579], [1069, 8117], [3502, 6322], [1664, 3796], [2032, 8164], [5769, 8207], [2524, 8626], [471, 10642], [3315, 3463], [316, 6567], [4314, 11081], [1676, 3806], [4922, 6241], [3764, 9890], [6288, 9711], [5765, 7684], [534, 11341], [7282, 10569], [6110, 11102], [3586, 4865], [4109, 6892], [6311, 7628], [996, 6676], [10201, 10919], [5853, 6750], [11042, 11535], [4669, 5014], [6751, 7900], [3203, 4346], [5438, 8228], [3039, 9607], [357, 2784], [3501, 11358], [1887, 4376], [7554, 9163], [8137, 8989], [10105, 10807], [2010, 6661], [9795, 9827], [607, 3309], [504, 2430], [9266, 10237], [7086, 10980], [508, 2549], [2536, 9336], [609, 3355], [3054, 3849], [1156, 3524], [2594, 6308], [601, 9129], [5258, 7637], [4829, 9409], [314, 6820], [997, 6096], [2769, 3838], [1016, 3894], [331, 3791], [1992, 4146], [1744, 10460], [1271, 8550], [2391, 7827], [1553, 7482], [1331, 2185], [7640, 11165], [3419, 8269], [5527, 5960], [8708, 8754], [5525, 5887], [7090, 9944], [3699, 4876], [889, 10885], [1023, 7667], [1596, 6805], [2294, 11277], [2284, 6425], [5434, 6900], [4317, 7140], [9480, 9950], [5179, 6381], [74, 2041], [6732, 11175], [1042, 8848], [1107, 9243], [696, 8211], [5076, 8131], [659, 8329], [6596, 9035], [3994, 7803], [4667, 6391], [2117, 8355], [682, 7000], [5079, 8779], [1335, 1903], [1718, 11467], [5135, 5678], [9964, 10120], [9732, 10551], [5434, 5745], [2199, 6852], [588, 3551], [237, 2570], [5783, 10036], [8830, 8878], [8293, 10925], [9509, 11418], [6059, 8399], [5309, 7147], [171, 7585], [3596, 5821], [6674, 11146], [2652, 7709], [2968, 9635], [850, 4840], [10337, 11425], [1431, 3839], [3306, 9630], [3643, 6017], [2521, 5159], [2209, 4106], [5559, 6921], [2893, 10400], [1047, 3849], [2424, 8609], [7840, 10367], [3064, 5559], [8402, 11568], [7077, 10381], [1729, 7037], [1262, 6073], [1917, 9717], [7108, 8913], [453, 3460], [2882, 6427], [7412, 9324], [8499, 11127], [466, 3695], [1719, 6699], [3620, 6541], [7381, 11142], [1722, 10380], [375, 6960], [972, 4964], [5411, 9251], [3621, 10149], [4141, 5489], [930, 5492], [1497, 11201], [1595, 7572], [2586, 9667], [5884, 8128], [2794, 6206], [1185, 2978], [1204, 7192], [987, 9409], [10544, 11071], [2695, 9610], [1480, 6309], [2887, 9780], [7374, 10321], [3040, 5858], [3668, 10345], [275, 3696], [9263, 9402], [6646, 7138], [82, 4055], [1668, 8989], [111, 2541], [8644, 10296], [3899, 4801], [2224, 3959], [3091, 9960], [1847, 8173], [231, 3774], [6480, 8539], [138, 3583], [1106, 10390], [1006, 6776], [3396, 7563], [4275, 4499], [3296, 10365], [3120, 7665], [126, 3199], [4239, 8225], [5068, 11490], [1176, 7372], [3581, 9945], [2275, 6526], [80, 6237], [4518, 10269], [4611, 7050], [5624, 5706], [7243, 7370], [7057, 10398], [9333, 10117], [2630, 3492], [983, 4698], [838, 8481], [950, 8722], [5473, 9674], [6521, 7385], [604, 1669], [3790, 4053], [3939, 7559], [5156, 10906], [2496, 7814], [3158, 3961], [1322, 4514], [138, 2778], [3930, 8944], [7008, 10105], [3959, 7430], [5332, 5655], [1345, 5437], [8463, 9860], [1472, 4458], [9001, 10667], [6477, 7436], [462, 4595], [4049, 7323], [2517, 2625], [997, 11520], [1701, 3005], [2323, 9175], [2054, 4032], [2630, 2687], [4118, 11223], [8600, 9168], [1353, 1891], [3474, 11121], [5863, 7519], [3673, 7574], [2310, 3621], [4897, 11338], [4527, 6143], [7104, 9008], [711, 1111], [8908, 9671], [3337, 4592], [274, 10909], [4787, 10419], [602, 10186], [4203, 10368], [686, 6881], [2981, 6650], [1238, 7394], [1898, 9130], [6560, 8736], [8528, 10554], [741, 3555], [4192, 9428], [4904, 11354], [5778, 7946], [4312, 7278], [7791, 8783], [1942, 7897], [5741, 8818], [2508, 4336], [1919, 10357], [5491, 7889], [4627, 5569], [730, 8277], [7607, 10359], [4369, 5533], [8539, 10339], [6388, 9568], [2708, 3643], [4244, 9968], [2434, 5326], [8939, 11212], [2396, 2590], [6545, 10683], [2808, 11394], [1815, 6220], [6016, 11093], [2740, 5783], [472, 10089], [9615, 10448], [4551, 6863], [3391, 10439], [6665, 8506], [4418, 7273], [2761, 10043], [9576, 10493], [2793, 5794], [3352, 7478], [2106, 9028], [3381, 5964], [3847, 5205], [4652, 6164], [6708, 7829], [1548, 4536], [5744, 8311], [2141, 5050], [6057, 6556], [1516, 11414], [2787, 9362], [5767, 9234], [5793, 8203], [1192, 5840], [2472, 10290], [1883, 9895], [3934, 7052], [2786, 11389], [8574, 8589], [5488, 10950], [7945, 8795], [7569, 10201], [7557, 8686], [248, 4695], [2775, 8197], [7439, 7876], [527, 6739], [7899, 8800], [177, 2950], [1419, 3910], [2857, 8946], [2633, 7740], [3564, 4866], [1692, 2756], [2015, 8859], [1914, 5020], [1884, 2145], [511, 2422], [6825, 10992], [4053, 7659], [1374, 6769], [2994, 11287], [7044, 9575], [9031, 9191], [6316, 6392], [7286, 9108], [750, 1657], [502, 1555], [1804, 9736], [4015, 8306], [6165, 9606], [4542, 11206], [3, 3305], [2360, 10368], [6415, 9000], [1403, 5605], [498, 7448], [369, 5348], [2143, 3917], [1456, 9403], [10174, 10522], [7625, 8924], [4139, 6248], [1855, 3635], [1791, 1930], [4678, 9939], [2665, 2686], [6453, 11362], [1286, 6898], [950, 11113], [6638, 11115], [3565, 3882], [3873, 8199], [9750, 10352], [566, 1324], [5586, 8744], [7076, 7554], [1193, 7838], [976, 9301], [749, 3660], [2930, 6525], [848, 3639], [447, 3295], [2274, 11324], [5693, 6362], [10082, 10532], [380, 4702], [5402, 8815], [2914, 4487], [5415, 6768], [2015, 10282], [5840, 6008], [5100, 5444], [2914, 7870], [8051, 10213], [1446, 4123], [1977, 4513], [975, 2259], [412, 3085], [2753, 7363], [1158, 11011], [3835, 11074], [876, 1499], [161, 9101], [7193, 8088], [477, 11027], [1600, 10575], [5697, 8709], [8162, 11333], [5882, 7708], [1309, 1731], [7038, 7396], [7227, 10301], [3302, 10961], [2578, 4514], [6129, 8339], [5284, 10233], [2137, 7023], [2045, 7434], [3166, 11073], [7581, 7796], [3941, 11069], [2035, 3713], [5837, 10567], [1169, 7736], [3837, 9965], [3529, 5648], [3555, 4617], [4370, 10428], [2427, 3944], [2034, 9877], [8727, 9398], [2999, 5833], [5979, 9869], [2744, 10976], [9153, 10738], [715, 9636], [997, 8568], [3801, 8406], [9248, 10975], [401, 7002], [6812, 7591], [7942, 8310], [7873, 10425], [2740, 11207], [33, 6017], [7089, 9562], [6834, 8289], [4815, 9889], [3571, 8102], [1450, 3036], [2757, 9309], [714, 5597], [3855, 11244], [3839, 9987], [1351, 5659], [2811, 8764], [3220, 6717], [722, 2455], [2406, 10930], [658, 4914], [8187, 11123], [5293, 6107], [1430, 7645], [2369, 2380], [4053, 10855], [994, 4082], [5014, 10075], [3175, 3941], [5162, 5809], [2121, 7913], [189, 6506], [3580, 11574], [10235, 10611], [7124, 7812], [8175, 9204], [4761, 8848], [5126, 7283], [8498, 8891], [1793, 5603], [118, 11177], [3855, 7056], [5397, 6056], [205, 9641], [3880, 8052], [4845, 8926], [3625, 6779], [1003, 10587], [7983, 9384], [5965, 8203], [2405, 3134], [4957, 8386], [8699, 8773], [5268, 9968], [5574, 7042], [2876, 6102], [1666, 9561], [3087, 10486], [7070, 9804], [4026, 8227], [1156, 7769], [779, 5567], [8241, 9800], [156, 6342], [4299, 7073], [720, 8370], [431, 8267], [5226, 6709], [682, 5634], [5358, 9080], [558, 3878], [6103, 7736], [803, 7092], [1548, 1584], [3970, 6790], [763, 3529], [7684, 11545], [8570, 8928], [2068, 6723], [7052, 8070], [5436, 10841], [7143, 8188], [3194, 3536], [8572, 8974], [2011, 9572], [2438, 4721], [3162, 8916], [4126, 7653], [7321, 9399], [2242, 4782], [4461, 7377], [6319, 7145], [4915, 10738], [1713, 5569], [252, 5245], [4980, 9635], [2549, 5841], [6621, 7860], [3004, 6421], [6154, 9148], [3841, 3885], [8012, 10047], [8545, 10510], [1199, 8889], [5307, 11319], [1685, 2366], [4792, 8429], [905, 5409], [2871, 10564], [1613, 10599], [441, 3962], [4942, 8373], [1368, 10768], [4267, 8958], [11149, 11384], [3513, 10970], [7222, 8965], [3762, 7510], [2707, 6376], [5074, 7711], [4007, 11478], [4191, 6869], [2921, 10277], [5370, 7480], [8166, 9709], [9439, 9982], [2283, 9239], [3778, 8393], [2195, 7140], [879, 3033], [5051, 9420], [548, 7592], [6140, 7132], [6676, 7866], [480, 2735], [3335, 11206], [107, 7068], [878, 6945], [899, 1406], [6542, 11434], [2927, 6658], [2832, 9804], [6158, 8061], [2235, 9548], [3539, 4970], [560, 10204], [7623, 8504], [9555, 10665], [6009, 7938], [1735, 7690], [3044, 10626], [5967, 7712], [5556, 6680], [5067, 9899], [2696, 6910], [265, 3870], [3382, 10621], [4657, 5305], [1019, 5241], [8790, 10983], [3136, 10565], [323, 10641], [3966, 10268], [2435, 5041], [1413, 6299], [4735, 9318], [1218, 5077], [9810, 10783], [2189, 9149], [775, 4507], [5709, 6491], [3889, 5325], [2803, 10540], [3949, 5376], [3202, 10811], [103, 2357], [4320, 7763], [2365, 3898], [4162, 9806], [3508, 11268], [1581, 9451], [3821, 9513], [2665, 7573], [2919, 10873], [10114, 11544], [4875, 8924], [6463, 11275], [2972, 8255], [213, 9291], [3222, 5397], [7389, 11440], [7707, 10029], [1759, 9164], [1754, 4656], [9573, 11570], [5184, 7400], [426, 7305], [46, 668], [8977, 10004], [4366, 6953], [4312, 10100], [6824, 8406], [3128, 9118], [884, 11566], [934, 4513], [2551, 5350], [1560, 1757], [9775, 10923], [10303, 11042], [7350, 11081], [4924, 8385], [7871, 10029], [3053, 9883], [646, 11401], [395, 1202], [7934, 8099], [2571, 2969], [5714, 8689], [3976, 6367], [60, 1855], [9211, 9245], [2349, 8225], [3285, 5695], [6465, 10516], [4308, 9176], [6667, 10650], [4404, 8884], [8602, 10076], [6107, 8741], [2461, 8816], [2653, 8986], [7417, 8115], [4549, 9238], [6596, 8905], [2220, 9104], [191, 10016], [495, 10427], [5686, 9623], [2456, 11074], [1985, 2821], [488, 2840], [4939, 7888], [7053, 9531], [2636, 7477], [311, 11249], [2282, 5444], [1943, 5978], [79, 4483], [9788, 9949], [2572, 2739], [1450, 6045], [3038, 8396], [1254, 1969], [4065, 5230], [379, 8158], [3966, 10886], [4594, 11209], [2997, 4608], [2224, 8822], [4079, 5286], [3800, 5871], [3141, 6989], [3206, 5886], [3758, 6399], [7495, 9071], [1929, 4336], [1958, 9992], [5499, 5959], [146, 8687], [211, 6830], [2539, 2575], [765, 1754], [2915, 5306], [2442, 2642], [5155, 8778], [6247, 6761], [10037, 10602], [2064, 6631], [2523, 11117], [4768, 11523], [6418, 8336], [10533, 11183], [10111, 11490], [570, 8052], [2173, 3541], [6532, 9754], [3043, 6780], [3170, 8053], [926, 11255], [7994, 9899], [582, 5029], [3037, 6211], [5194, 10934], [681, 4254], [1511, 11127], [6234, 8003], [3058, 4055], [5083, 6407], [6113, 9928], [4024, 10035], [4591, 9328], [472, 2575], [819, 6820], [3012, 4060], [711, 5974], [4707, 9661], [1519, 10614], [7938, 11064], [890, 994], [4690, 11185], [4998, 9086], [5810, 8964], [839, 7822], [4566, 7177], [2503, 8505], [9820, 10105], [2855, 5924], [948, 7765], [2591, 7571], [7356, 8056], [6485, 10981], [4243, 10092], [5516, 11119], [4926, 7870], [856, 11559], [199, 7088], [753, 8428], [6721, 10699], [129, 11230], [3460, 10585], [1867, 3726], [6729, 8308], [1065, 3038], [6166, 9134], [8005, 8852], [2222, 5580], [1150, 8249], [3545, 5970], [6067, 8374], [2387, 3203], [4632, 7773], [4105, 10508], [2261, 4784], [3785, 8840], [2732, 3615], [6465, 9174], [2518, 5349], [3724, 10816], [1262, 6211], [2356, 11437], [7177, 11100], [6585, 7024], [8990, 9597], [6035, 6557], [421, 4814], [116, 4178], [169, 7222], [855, 10933], [2914, 5699], [4502, 8050], [4588, 7070], [9753, 11461], [505, 6390], [1098, 7658], [1502, 5267], [4611, 7993], [3403, 5863], [3616, 6910], [2900, 10904], [1838, 10851], [4353, 10586], [2871, 9385], [2151, 6063], [4162, 10237], [337, 8095], [2295, 2809], [1183, 6803], [2172, 10323], [3287, 3594], [4125, 4693], [174, 9794], [1306, 4924], [8144, 10461], [5692, 8796], [1014, 4523], [171, 3080], [4061, 4119], [5776, 7743], [6235, 11475], [9454, 9835], [1255, 11001], [5639, 8411], [2846, 10617], [2973, 5474], [9278, 10548], [3648, 8272], [2643, 8753], [7025, 9500], [6135, 8211], [4485, 5736], [870, 4370], [7337, 10526], [85, 653], [5855, 9325], [7687, 11282], [2083, 10227], [3966, 8739], [8647, 11031], [767, 3841], [2857, 6588], [2723, 4144], [825, 7229], [10415, 11283], [1917, 5212], [5093, 6908], [2937, 5793], [509, 8686], [4218, 6681], [9373, 9630], [6052, 9465], [1809, 11536], [3624, 5942], [4278, 4480], [7502, 11128], [3087, 5737], [2774, 4459], [716, 6131], [7340, 10019], [843, 1742], [5127, 8370], [2233, 3354], [5722, 9711], [7596, 11113], [7613, 8084], [2351, 10930], [116, 4796], [10468, 10893], [1910, 4017], [3477, 5491], [2535, 9704], [4398, 7564], [76, 2364], [478, 6316], [3807, 10506], [3, 2825], [2114, 4197], [1718, 4197], [9221, 11437], [1747, 9853], [4603, 4963], [8498, 8598], [4202, 4619], [4148, 7766], [6515, 9855], [1591, 2143], [4581, 6867], [1838, 8436], [1745, 5993], [2643, 7143], [6070, 6206], [1046, 7712], [968, 6301], [462, 7661], [6966, 9912], [705, 4386], [2286, 2560], [8385, 10010], [2504, 10367], [7239, 8758], [9887, 10335], [3282, 7251], [7702, 10734], [7017, 10631], [2691, 10193], [4936, 10599], [4556, 4716], [2312, 7164], [1818, 10793], [1725, 9848], [2752, 7436], [5157, 9255], [4682, 10682], [4954, 8926], [7641, 9677], [7517, 7921], [5105, 8341], [8291, 10725], [6199, 7151], [442, 5854], [3494, 5040], [3239, 10183], [3369, 9475], [5071, 6478], [4515, 8475], [9895, 10576], [4790, 6236], [812, 1600], [8155, 10837], [2117, 7046], [6845, 10682], [3760, 6098], [765, 10829], [6902, 8183], [1572, 6199], [1210, 11445], [1334, 6785], [1112, 1488], [114, 3140], [1074, 5168], [4348, 10405], [110, 5650], [172, 7282], [8476, 9323], [3216, 8078], [6120, 11530], [6387, 9430], [2536, 6067], [7212, 9513], [2252, 6308], [848, 2354], [4342, 9055], [1938, 10090], [6205, 6915], [3803, 8777], [5573, 9856], [1464, 7955], [784, 8196], [4671, 4800], [10307, 11028], [10405, 11563], [4326, 7017], [446, 5168], [9809, 9997], [1629, 9685], [2236, 7653], [271, 5352], [1919, 5502], [1492, 10353], [4506, 9055], [1803, 7771], [3172, 8506], [524, 6929], [4378, 7557], [4161, 9774], [1762, 11153], [3407, 6868], [2283, 10101], [6025, 10488], [4495, 5863], [2165, 9291], [1258, 3891], [7331, 10120], [2469, 3286], [693, 11060], [1226, 5107], [5730, 9035], [2531, 10553], [9229, 9664], [941, 5123], [538, 10368], [5445, 9805], [2869, 9794], [3327, 5010], [4199, 11355], [3299, 9378], [92, 6117], [2999, 9086], [9589, 11138], [157, 4260], [8128, 11568], [6447, 9026], [64, 8233], [6996, 10022], [8467, 11034], [4201, 4985], [4039, 10319], [3863, 8373], [1960, 11114], [10568, 10937], [4606, 6202], [5662, 7938], [7954, 8190], [550, 7345], [206, 7535], [338, 9906], [1264, 6688], [983, 10610], [3691, 5822], [3191, 4718], [49, 6770], [3399, 5421], [8168, 9812], [5117, 10474], [1600, 2069], [9406, 11030], [2687, 3872], [233, 5544], [1589, 8326], [1570, 4112], [7700, 10875], [403, 9927], [5635, 9124], [243, 6262], [5485, 6147], [7030, 11080], [66, 10507], [876, 9558], [8579, 10470], [1805, 3605], [303, 3280], [3518, 10566], [9511, 11204], [278, 11329], [4786, 7085], [80, 4928], [3414, 9462], [4156, 4437], [8646, 8659], [8482, 9756], [309, 3445], [1384, 10149], [5088, 7800], [415, 3871], [7476, 7760], [7384, 8925], [446, 8819], [9281, 11277], [3488, 8071], [4362, 4663], [11125, 11339], [8508, 9075], [9776, 11256], [1291, 10308], [6602, 7354], [6996, 11445], [5445, 8195], [868, 10390], [5720, 10120], [2800, 10299], [5694, 8899], [5687, 7728], [8147, 10008], [921, 1356], [89, 1957], [8987, 10399], [6052, 9546], [3636, 7538], [6395, 9885], [3449, 11095], [2575, 8087], [7047, 7596], [5961, 7149], [6833, 7078], [4496, 9335], [3596, 7358], [1820, 5710], [1326, 9339], [77, 6454], [3562, 5495], [8159, 10368], [6416, 11112], [755, 9523], [4652, 6815], [966, 7491], [2934, 9309], [10176, 11324], [1303, 6130], [1926, 9519], [1366, 10616], [3644, 3992], [3427, 6209], [5734, 7493], [2959, 3889], [3519, 9181], [5105, 7699], [649, 2307], [4663, 7354], [3885, 10470], [987, 8718], [2084, 7045], [5969, 6986], [11041, 11186], [1294, 8646], [477, 6172], [360, 5587], [1791, 9452], [8949, 10241], [10563, 11561], [2008, 11372], [446, 3826], [7922, 10374], [6129, 6867], [3016, 6651], [5982, 7571], [1997, 7426], [10770, 11258], [1374, 4037], [5947, 10768], [4478, 10583], [2251, 10726], [6039, 7324], [3976, 8652], [184, 2486], [4192, 6964], [3486, 5984], [986, 6557], [3573, 7858], [511, 1568], [357, 7517], [3657, 6805], [2729, 6944], [4090, 10070], [1752, 3057], [8673, 11073], [6025, 9496], [6612, 6812], [2689, 3381], [3900, 9946], [1603, 2934], [3817, 8191], [4677, 6605], [7321, 10692], [4246, 7550], [7358, 7541], [2869, 5419], [5021, 7546], [7877, 9826], [1488, 10716], [6885, 8260], [8405, 9164], [2849, 10809], [2298, 6734], [5068, 9994], [3629, 6985], [10177, 10289], [4723, 5795], [141, 7646], [330, 10551], [1751, 5060], [4557, 7977], [1761, 5748], [5767, 10153], [724, 5193], [7636, 8959], [1631, 7560], [3499, 11426], [8776, 9642], [1118, 1333], [4481, 5107], [8531, 9811], [2858, 4455], [10834, 11353], [5944, 9641], [180, 6419], [121, 9222], [6222, 11083], [284, 4490], [3639, 7649], [9117, 10285], [1916, 5635], [3722, 6371], [833, 8869], [858, 9865], [4903, 10061], [6892, 10504], [2107, 6334], [9920, 11548], [609, 6128], [3219, 11385], [3807, 11555], [1935, 10199], [5214, 8610], [630, 3972], [3455, 11103], [70, 2817], [4077, 10103], [1845, 10656], [6358, 10166], [288, 4208], [598, 2182], [7213, 8236], [2366, 3188], [9967, 10963], [6629, 8939], [1992, 6919], [5937, 7665], [2924, 4647], [7875, 10772], [3259, 7377], [9568, 9941], [8950, 11060], [1541, 5707], [5006, 7506], [680, 7068], [6781, 8929], [7304, 10956], [1022, 10215], [6903, 9858], [148, 7207], [24, 5451], [1421, 8234], [8078, 8098], [3004, 3071], [4843, 9205], [4876, 5181], [11446, 11462], [2969, 6268], [4782, 11181], [541, 6909], [2013, 11529], [3498, 9995], [6144, 8493], [3212, 9409], [7847, 10602], [1875, 5179], [5548, 6927], [844, 3685], [3461, 3697], [9653, 11338], [7000, 9417], [4450, 4965], [5351, 9796], [8245, 8396], [812, 9065], [7262, 11080], [1907, 10729], [4044, 6906], [2550, 11360], [4785, 10324], [11261, 11308], [1638, 5616], [7522, 8940], [888, 3583], [4005, 10334], [6925, 7903], [1636, 1756], [170, 1088], [4399, 7255], [6336, 7508], [4350, 11500], [1358, 2943], [1886, 5314], [1765, 7239], [3439, 8610], [8220, 8874], [10375, 10518], [3713, 6900], [1197, 4688], [9786, 10877], [1319, 6371], [7255, 9885], [2281, 2810], [9319, 11411], [811, 11068], [1341, 3686], [1088, 3240], [9341, 9480], [1836, 7829], [2739, 9323], [2149, 6074], [5753, 6527], [587, 2665], [7995, 10045], [4002, 6629], [8555, 8921], [5561, 6707], [1175, 6218], [3780, 4715], [1758, 8296], [2658, 3857], [504, 2788], [2317, 6947], [2687, 5726], [1596, 11351], [3091, 10505], [4464, 4566], [1818, 3816], [4902, 8175], [8154, 10455], [6784, 9495], [2862, 7420], [5601, 9115], [4484, 8601], [6533, 9095], [5848, 8992], [2056, 2826], [3198, 6588], [949, 3030], [4848, 6784], [261, 1875], [5437, 9808], [2533, 4104], [1757, 4637], [5559, 9239], [5285, 10168], [8733, 10108], [1070, 1455], [5023, 8478], [2688, 11562], [2719, 6711], [4271, 6399], [983, 2210], [1261, 10068], [5889, 7838], [7167, 9209], [7690, 11236], [451, 7984], [1025, 10730], [2484, 3811], [195, 7240], [30, 9647], [1840, 3709], [5133, 8242], [2860, 5788], [6531, 7463], [213, 7819], [158, 1696], [2451, 4802], [457, 1763], [9178, 9569], [3474, 11316], [3137, 8890], [2762, 3351], [10814, 11587], [3854, 7750], [2414, 8303], [7944, 11129], [1473, 10489], [325, 8410], [3809, 10259], [9134, 9647], [1097, 11141], [3339, 5614], [2810, 5270], [8907, 10395], [3905, 7688], [7969, 9092], [2243, 2944], [2742, 4577], [1154, 2226], [1123, 2913], [6177, 9917], [3522, 4917], [4886, 7560], [5262, 10291], [1803, 9438], [7128, 11078], [3081, 10809], [741, 7133], [1052, 10967], [302, 3299], [1199, 7230], [7804, 11068], [4910, 6052], [3850, 6072], [7554, 10139], [7076, 7131], [7702, 10791], [3321, 10646], [6330, 9758], [8785, 10940], [6975, 10462], [3098, 8130], [3776, 11226], [10032, 10746], [2368, 4120], [131, 7739], [3625, 3860], [1337, 6790], [2498, 7576], [9055, 9488], [1061, 1230], [1069, 5255], [1272, 5614], [7880, 8969], [2426, 4475], [9464, 11578], [312, 6969], [928, 9187], [1764, 9459], [1230, 2355], [6408, 11115], [4713, 11149], [9671, 11275], [7682, 8580], [767, 10932], [2966, 7987], [77, 3315], [4037, 5093], [1513, 6026], [4056, 9307], [10002, 10099], [2344, 5954], [2347, 5471], [1139, 3341], [5020, 8044], [1909, 5245], [1539, 4214], [1322, 5677], [9281, 10716], [6540, 8948], [7792, 9098], [750, 3007], [280, 6276], [7563, 9046], [1710, 5035], [6659, 7327], [222, 10435], [2622, 7746], [468, 3294], [8835, 9848], [970, 7854], [722, 10758], [3050, 10667], [2732, 4908], [1365, 10635], [890, 1482], [6994, 7024], [7610, 9242], [5089, 9692], [8110, 9565], [7704, 8877], [3067, 4605], [2007, 4625], [256, 11143], [10558, 11461], [3663, 8019], [8852, 10552], [6488, 8734], [4552, 5673], [5426, 6429], [5116, 7701], [4734, 11571], [5950, 11310], [322, 5697], [3080, 4436], [2775, 10970], [1775, 11041], [3153, 3194], [8060, 9047], [9, 4419], [408, 8100], [4047, 7608], [3178, 11360], [3009, 9107], [311, 8167], [6125, 6588], [2883, 4272], [4295, 8087], [1277, 7731], [6365, 9458], [3158, 6197], [1027, 7556], [4158, 11007], [3911, 8097], [5024, 6957], [2386, 10232], [5156, 7076], [3027, 10036], [7860, 8962], [3428, 3964], [8417, 10573], [6103, 8118], [93, 5621], [2723, 6592], [104, 9917], [5085, 5331], [4150, 4299], [160, 10980], [1056, 11303], [844, 6694], [2798, 10334], [3047, 11038], [3233, 8010], [8964, 11092], [2367, 11279], [5931, 8950], [2868, 9575], [6154, 10685], [10052, 11585], [2413, 7490], [6117, 11557], [3978, 11547], [3851, 10274], [559, 10847], [8828, 10450], [5831, 8719], [2761, 8173], [5775, 11039], [9595, 9804], [1974, 4006], [962, 1064], [4705, 10721], [443, 2162], [6481, 9336], [4225, 11023], [6591, 7252], [8402, 10584], [2415, 4129], [5286, 7441], [2796, 6450], [6653, 7349], [1270, 4950], [76, 6690], [734, 8353], [2596, 2605], [4347, 5886], [6145, 9013], [1007, 9451], [3660, 9120], [971, 7542], [881, 11032], [6767, 8767], [6822, 8474], [4370, 10973], [7386, 10502], [1604, 10838], [2217, 2959], [916, 11218], [4980, 9212], [4367, 10675], [2127, 4197], [5050, 7699], [7748, 8639], [7534, 10373], [2369, 3730], [4989, 9675], [1472, 5434], [5799, 8726], [1969, 6240], [3495, 7713], [9028, 10056], [3857, 11512], [433, 10468], [187, 7029], [373, 3247], [6931, 8767], [6617, 11051], [4036, 10696], [8795, 9481], [6718, 11103], [2288, 6932], [8609, 11011], [2038, 6003], [2219, 2631], [859, 9529], [4246, 11445], [2068, 5845], [3277, 11583], [6962, 10682], [8783, 9097], [7960, 9784], [101, 1219], [4144, 11168], [4250, 11564], [7139, 9820], [6362, 10128], [1744, 5906], [5959, 8957], [350, 7558], [9880, 10807], [5114, 10851], [1260, 10223], [4360, 8699], [6135, 10122], [6068, 8900], [2155, 11075], [3430, 5759], [2611, 8874], [8676, 11078], [4455, 8936], [3051, 9146], [6779, 11355], [5812, 8156], [3162, 3500], [3781, 5235], [4375, 9357], [5589, 6771], [3603, 10009], [5062, 9506], [3371, 4024], [3503, 6395], [3661, 7735], [1168, 3063], [7515, 8363], [507, 7518], [3275, 7699], [2628, 3916], [3022, 3089], [1440, 8073], [991, 9967], [36, 1867], [9590, 10428], [58, 5598], [1928, 11045], [3389, 4953], [3366, 9665], [3170, 5589], [627, 2308], [2368, 4901], [8087, 9878], [926, 8791], [437, 5594], [206, 3217], [3597, 9039], [3015, 5651], [2786, 5599], [3130, 3157], [2071, 6785], [7265, 9662], [11074, 11271], [4837, 10303], [5181, 10113], [5463, 6793], [2264, 10563], [1163, 1914], [256, 9346], [8574, 9565], [2781, 5605], [1470, 2596], [4890, 6904], [5679, 11494], [3422, 9573], [9096, 11367], [7040, 7450], [712, 7118], [3461, 8747], [3607, 8572], [3366, 5477], [2366, 4050], [6600, 11315], [3016, 11514], [3525, 9671], [7432, 7681], [7626, 10930], [3693, 10975], [986, 8037], [6996, 8282], [2889, 3044], [575, 589], [4320, 4657], [5691, 8471], [2575, 10990], [2635, 11041], [2007, 11472], [1458, 4814], [1422, 2151], [5938, 8348], [6683, 7004], [5181, 5925], [10843, 11122], [84, 6364], [640, 2115], [295, 11502], [4092, 5180], [5427, 6331], [1067, 7063], [6335, 8923], [110, 8716], [4960, 7619], [416, 6544], [2255, 5508], [2809, 6848], [1997, 4718], [11396, 11456], [3065, 4559], [4018, 5416], [1243, 2566], [8992, 10239], [4546, 5535], [6041, 11105], [6951, 8108], [2811, 6894], [2298, 11247], [4354, 8748], [10121, 11487], [555, 1411], [1895, 10076], [8536, 9407], [3075, 7906], [3028, 8060], [932, 11160], [7866, 9612], [896, 5087], [8310, 10003], [7646, 10777], [860, 8813], [1634, 5955], [5364, 11243], [4901, 9267], [6776, 8642], [4413, 9678], [2383, 6982], [1892, 10128], [5891, 6973], [3193, 6033], [7572, 9515], [230, 5384], [3396, 6392], [190, 5985], [2629, 7388], [3861, 7660], [4430, 10032], [5550, 10063], [10469, 11015], [1911, 11309], [9779, 10568], [1744, 5719], [752, 10569], [3214, 7260], [6282, 6979], [2183, 6520], [2486, 4077], [6324, 10588], [5008, 6481], [368, 10579], [466, 5452], [4253, 11274], [1701, 9405], [8407, 9131], [2829, 7045], [8555, 9783], [4012, 11562], [9260, 11292], [6839, 8186], [3417, 7969], [8984, 9142], [9729, 10050], [4130, 9339], [4058, 7019], [2540, 10325], [4493, 6947], [3249, 5160], [2590, 9688], [3749, 9647], [2417, 5007], [2412, 4663], [2183, 5365], [2281, 5900], [2711, 5484], [2664, 5638], [4123, 9299], [1096, 4693], [1311, 1649], [3233, 7286], [5576, 8227], [2530, 5823], [930, 2711], [601, 3933], [3551, 9258], [3355, 5182], [7226, 8423], [7004, 9542], [1498, 4858], [9368, 11360], [6562, 8443], [3671, 10114], [935, 6438], [3149, 4525], [2077, 7948], [1521, 9945], [1013, 4816], [5438, 8643], [2611, 4849], [1176, 5746], [4696, 8006], [2105, 2799], [2633, 9334], [3600, 8369], [705, 10298], [1018, 8543], [9294, 9317], [10293, 11273], [4408, 7724], [8293, 9917], [1629, 9636], [160, 3035], [2718, 8102], [1787, 3806], [5837, 8510], [443, 11237], [727, 4580], [7284, 10656], [4612, 10937], [9469, 11011], [6114, 7098], [2191, 8585], [9157, 9204], [4047, 5274], [2216, 10335], [2185, 8016], [2562, 4556], [256, 6126], [2209, 2748], [2090, 4746], [10020, 11299], [906, 3010], [6564, 10717], [1805, 5516], [3119, 8796], [1808, 5033], [1550, 10659], [5913, 9444], [831, 1146], [2400, 2693], [3418, 8863], [56, 8697], [1988, 10104], [7500, 11570], [3825, 6743], [709, 9262], [9076, 10154], [2759, 6948], [5133, 9454], [9825, 11181], [2253, 8308], [4474, 8320], [10408, 11007], [1048, 9078], [1853, 7785], [6045, 8408], [3275, 5902], [3028, 4490], [9093, 10858], [2273, 3648], [7341, 9604], [1273, 7102], [2121, 2473], [94, 10628], [1276, 5121], [188, 9509], [3160, 6487], [3903, 10732], [2313, 8308], [3567, 8531], [733, 3566], [7666, 8963], [1131, 10028], [3777, 9280], [759, 8170], [628, 9407], [4086, 10035], [1839, 2386], [3955, 7108], [1283, 5137], [9937, 10967], [5362, 10579], [3717, 7694], [5427, 8722], [5582, 6381], [7500, 9610], [6225, 6258], [4229, 8808], [4053, 11026], [7783, 9898], [7405, 7471], [3702, 7012], [7867, 11474], [5596, 6437], [2162, 3951], [1234, 10506], [10630, 11311], [1392, 5430], [6829, 7311], [1230, 6600], [2510, 4634], [15, 9715], [10439, 10962], [3880, 8223], [7718, 8348], [751, 3340], [2063, 3541], [8277, 9251], [8836, 10935], [2181, 5482], [4011, 6612], [2557, 8213], [7932, 9216], [380, 7719], [2515, 7987], [1584, 10861], [3298, 7844], [6087, 8902], [488, 8191], [3979, 4795], [2239, 11472], [2948, 10471], [1697, 10923], [4596, 9867], [6275, 11582], [451, 8309], [2861, 11226], [1853, 11436], [1638, 8064], [1791, 10558], [4561, 5150], [4024, 7197], [175, 497], [882, 8495], [8330, 9612], [3127, 8901], [2712, 10379], [1342, 10173], [8718, 8970], [232, 4414], [1660, 2346], [3769, 9307], [3550, 4281], [2930, 8737], [1374, 11559], [7472, 7487], [4263, 9815], [875, 7674], [7874, 10685], [6432, 8913], [1549, 3454], [722, 10815], [5820, 6814], [3048, 9897], [4142, 8707], [4352, 5319], [8428, 8992], [8123, 11362], [5126, 8877], [556, 8833], [2954, 7229], [7496, 8231], [7711, 10105], [2011, 2172], [6427, 10417], [4536, 9011], [5055, 7132], [666, 2962], [9077, 9788], [3931, 3949], [569, 3029], [3595, 10416], [166, 1858], [4620, 11341], [5026, 5613], [6165, 9858], [4520, 6973], [6665, 10181], [7941, 8473], [3643, 3667], [8101, 9105], [873, 6796], [1931, 2943], [7588, 10048], [5320, 7938], [9055, 11318], [1823, 11519], [10386, 11569], [1296, 5586], [4071, 9190], [4558, 8554], [3376, 7645], [8174, 10522], [2914, 9277], [2518, 9277], [1448, 2193], [1361, 10118], [3876, 11351], [1781, 1844], [3475, 11007], [1570, 7259], [5307, 7302], [79, 8224], [344, 9461], [129, 1171], [6147, 7693], [1895, 5514], [2548, 6833], [2794, 3856], [9423, 11498], [3139, 4268], [3796, 9493], [6807, 8678], [4850, 8904], [6346, 10912], [3536, 11259], [2985, 7184], [6581, 9274], [2603, 4638], [4380, 9140], [6955, 8926], [6306, 10732], [1095, 3744], [1604, 1901], [1001, 10498], [4712, 8566], [4115, 4146], [3860, 10043], [3862, 10089], [2520, 11177], [7527, 7812], [1723, 10079], [4672, 8386], [7034, 7879], [1208, 7943], [5944, 9942], [1677, 6701], [501, 8990], [9993, 10257], [9709, 10498], [5657, 9131], [5433, 10177], [2503, 9668], [2632, 5352], [4187, 5311], [5651, 9316], [7046, 11272], [2595, 6224], [9945, 10216], [261, 5746], [3124, 5033], [971, 1183], [9410, 10057], [2846, 6974], [2995, 9726], [5140, 6518], [4338, 5076], [1566, 8159], [8063, 10020], [659, 9175], [4864, 11538], [1526, 8760], [5951, 8423], [2949, 6348], [1123, 1173], [5018, 8972], [5135, 9557], [1002, 3098], [1520, 4781], [6160, 6318], [7968, 10133], [5449, 11410], [88, 2943], [2931, 8371], [1923, 9335], [4070, 6200], [10412, 11156], [343, 1183], [6399, 9717], [2104, 10844], [3071, 8381], [6366, 7325], [2169, 9741], [2513, 9551], [1100, 5511], [4837, 5554], [2416, 3202], [3689, 9891], [3074, 11281], [7921, 9913], [1785, 3335], [9374, 9595], [3935, 10297], [255, 962], [3157, 10003], [4888, 5492], [4550, 8880], [2549, 4670], [539, 4104], [4692, 4799], [1371, 4634], [440, 1092], [5260, 7700], [6529, 11237], [4352, 10743], [1081, 9941], [1795, 2868], [2189, 6205], [3968, 5118], [3482, 8608], [4679, 9825], [4720, 10580], [1193, 7903], [2817, 9157], [6588, 8030], [7111, 10057], [1037, 10773], [473, 2329], [5398, 6479], [9040, 9668], [5117, 10401], [3145, 7683], [2780, 6996], [2023, 4573], [5670, 8106], [7105, 7209], [2815, 8680], [7719, 8600], [1083, 3197], [1337, 4245], [4702, 11098], [2052, 6442], [2896, 11493], [2108, 9757], [2232, 5097], [6375, 6582], [1702, 2653], [4167, 4523], [2686, 6206], [2011, 6791], [1598, 11348], [2190, 2592], [725, 11194], [2719, 7817], [1759, 3537], [1408, 1802], [1323, 6390], [2374, 7782], [2071, 3809], [4063, 10185], [6947, 8097], [2005, 5441], [6258, 10504], [876, 8330], [7350, 8487], [3210, 11437], [1187, 3496], [4170, 7803], [689, 5471], [708, 3269], [5728, 10689], [3517, 9867], [8656, 8873], [4224, 7285], [2512, 3932], [7718, 8324], [7088, 7928], [2979, 6027], [2261, 9948], [857, 10158], [3205, 11443], [1133, 8521], [823, 3377], [9016, 9566], [8947, 10927], [2374, 10010], [235, 10754], [9918, 10835], [3960, 9282], [4744, 9364], [1134, 9096], [661, 6432], [1072, 8218], [2689, 8301], [8511, 10747], [4798, 9600], [10218, 11477], [5602, 8082], [1926, 9446], [3954, 11315], [5255, 7974], [6253, 9705], [1211, 9851], [8073, 10147], [6309, 6604], [1383, 8645], [5488, 6640], [1487, 2552], [2879, 4237], [599, 7782], [5187, 9129], [3124, 4041], [3464, 10525], [635, 6658], [1746, 8855], [6603, 6677], [10271, 10333], [558, 8131], [1580, 4621], [196, 6961], [1084, 7423], [7247, 10162], [5313, 7174], [6510, 9869], [3893, 7605], [4548, 11249], [9113, 10949], [651, 1125], [680, 6027], [4329, 10387], [8054, 8161], [4354, 11383], [829, 3117], [7962, 9326], [2508, 4832], [4044, 10403], [5069, 7164], [2328, 3144], [4562, 9053], [3970, 4977], [6523, 9700], [2342, 6233], [661, 1439], [4838, 8170], [7415, 11035], [8905, 9845], [1790, 9103], [2872, 6398], [224, 4821], [5265, 6702], [6610, 9295], [727, 8825], [5111, 6235], [4639, 7179], [5270, 10429], [6258, 8089], [4293, 5788], [7030, 10820], [6720, 9840], [8523, 9147], [5043, 8171], [8456, 11308], [1510, 11341], [8136, 9640], [3158, 5075], [4685, 9402], [1877, 9822], [3931, 11414], [3341, 4001], [5247, 8351], [4032, 5050], [1597, 4520], [4396, 6266], [3330, 6471], [4711, 10973], [5289, 10455], [2589, 8688], [3885, 4249], [813, 7040], [1620, 2410], [2406, 3319], [3113, 11317], [524, 6937], [1496, 4818], [876, 5110], [3293, 3556], [4659, 7026], [1142, 9201], [423, 3852], [3602, 11481], [10506, 11222], [5406, 11390], [6213, 6760], [3761, 9259], [1889, 7149], [5132, 6657], [5342, 7433], [2890, 5768], [2513, 9982], [5216, 11266], [5185, 9701], [3853, 5815], [88, 10140], [828, 8452], [788, 11305], [4303, 6051], [2754, 10044], [6613, 11016], [7986, 9241], [9689, 11350], [3705, 7822], [3813, 5635], [5838, 7987], [821, 4248], [977, 10423], [2844, 5773], [1789, 10301], [5027, 8711], [8785, 9631], [876, 3955], [2187, 3931], [5573, 9409], [4606, 6210], [1743, 6923], [3494, 3788], [2310, 8468], [1682, 8899], [27, 5326], [1271, 1451], [1530, 9259], [2958, 7191], [9423, 9514], [5813, 11498], [306, 1708], [545, 3976], [1792, 6034], [3409, 10281], [205, 7291], [2390, 4640], [294, 9992], [1821, 7903], [52, 7426], [10124, 10500], [2593, 4218], [7603, 10950], [2064, 8038], [8225, 10704], [10562, 11076], [565, 2699], [6046, 11268], [3023, 9814], [1922, 7581], [160, 4865], [3773, 8814], [8599, 8821], [254, 10162], [4829, 11304], [1337, 4676], [4444, 10739], [308, 10398], [1330, 6888], [1667, 4029], [7592, 9606], [6341, 10812], [1701, 2859], [2701, 7669], [666, 4629], [1637, 10953], [10496, 11553], [8799, 9232], [2028, 7576], [6083, 6208], [2901, 11113], [6407, 8025], [6699, 7645], [3050, 8203], [5295, 8609], [2117, 10250], [1564, 9512], [934, 9116], [6973, 10099], [5156, 8450], [8220, 9151], [3640, 8419], [2024, 10436], [5071, 10032], [1425, 3691], [5688, 10940], [5820, 11059], [1608, 1863], [1534, 3634], [4902, 7752], [4862, 8353], [1655, 5092], [10192, 10337], [4285, 5309], [1849, 8341], [6768, 8539], [8, 1380], [10441, 11041], [789, 1945], [1048, 9753], [2437, 5478], [2146, 4548], [4618, 8343], [7049, 11383], [284, 10296], [375, 3244], [3145, 6504], [5333, 10540], [4977, 8461], [2021, 2567], [3244, 4231], [6382, 8853], [2449, 5488], [6597, 9946], [4572, 7594], [5291, 7281], [3264, 8266], [733, 858], [7336, 10285], [5656, 9099], [3999, 4699], [4661, 10268], [3283, 5283], [3157, 6864], [1906, 8070], [7726, 9689], [3245, 5930], [354, 11011], [4184, 7081], [8444, 9151], [6579, 8966], [3769, 8559], [2805, 9041], [5348, 6660], [1141, 1972], [10705, 11221], [5545, 7174], [2680, 7060], [7408, 11450], [63, 7802], [1242, 2024], [27, 5139], [4519, 6778], [8528, 11481], [2616, 3103], [3385, 8569], [2793, 10909], [1838, 2809], [6227, 6979], [3085, 8277], [1048, 4410], [2013, 7536], [280, 8968], [6806, 9315], [3919, 6224], [5152, 9350], [5718, 5789], [3882, 6342], [9599, 11246], [5070, 11203], [6951, 9669], [5595, 6887], [3821, 8318], [478, 5950], [2193, 9574], [4458, 8380], [7694, 10127], [230, 5067], [2286, 6732], [2351, 7881], [3893, 6881], [7822, 8592], [5014, 9766], [4670, 9956], [382, 5838], [6266, 9162], [2219, 8893], [2520, 5623], [1031, 3251], [1802, 3128], [8164, 9460], [659, 7809], [1893, 8908], [1459, 6172], [4043, 6044], [6293, 10958], [5543, 9706], [5634, 5660], [1856, 3364], [5295, 6194], [2619, 8985], [704, 10211], [3259, 9345], [955, 7578], [4595, 7688], [8896, 9759], [6344, 10142], [4035, 6533], [3472, 7359], [2666, 9181], [4366, 4603], [1095, 10217], [10775, 10781], [8066, 11180], [41, 1357], [1534, 4602], [7793, 9301], [1346, 10967], [3829, 4371], [1566, 9021], [9071, 10672], [5241, 8186], [473, 11567], [7219, 9968], [1653, 5233], [8375, 9656], [2145, 5695], [4452, 6979], [4827, 6102], [5605, 6396], [3726, 3869], [2141, 8205], [4228, 5019], [6101, 9983], [932, 5850], [2826, 5275], [5472, 10189], [1952, 2267], [4472, 4598], [6180, 11215], [5872, 6898], [10292, 10381], [1519, 2385], [4662, 8105], [10505, 11428], [4034, 4372], [4934, 6349], [337, 11275], [3601, 8654], [2223, 10839], [2381, 11425], [2286, 8155], [1684, 3391], [4178, 4501], [3775, 9746], [3592, 10793], [785, 7651], [1809, 5722], [1277, 8113], [7194, 7413], [7885, 11468], [461, 9247], [1333, 2760], [4144, 6021], [2206, 5543], [626, 3807], [2238, 10716], [5786, 7854], [4201, 5774], [1890, 7000], [1060, 9926], [2142, 7221], [3627, 5687], [3575, 5497], [5662, 8727], [1538, 5794], [6123, 7624], [9440, 11053], [5460, 11252], [4560, 9275], [980, 1302], [4183, 7073], [6053, 6104], [327, 3366], [5769, 6345], [6305, 6325], [7444, 10570], [1250, 6266], [5587, 10246], [6072, 9537], [5826, 6098], [5304, 6925], [4731, 7063], [510, 11337], [5603, 7746], [2218, 11538], [1055, 8427], [4551, 5375], [6605, 6967], [5607, 7865], [620, 6220], [6504, 9544], [10514, 10685], [1162, 9428], [6220, 6752], [6399, 8969], [7266, 10806], [113, 7328], [2940, 3952], [8208, 9222], [517, 4937], [5219, 7352], [387, 2612], [2076, 11431], [2288, 3208], [1006, 11517], [2938, 10672], [968, 8781], [2155, 10034], [3609, 6935], [7504, 9816], [2402, 7659], [5227, 10626], [1619, 7021], [6142, 7219], [994, 6969], [2709, 8341], [1501, 6211], [4494, 10452], [1874, 4507], [2772, 5657], [4670, 6736], [5253, 8814], [972, 5867], [3269, 6463], [7474, 8826], [4357, 11120], [5494, 8876], [2488, 2865], [1851, 5462], [5777, 8410], [483, 1919], [2666, 5611], [7459, 9642], [200, 5014], [7915, 8195], [1144, 7263], [2763, 8927], [5657, 6773], [328, 7643], [6742, 7749], [2566, 4626], [109, 2617], [575, 8274], [3899, 5704], [4737, 6803], [2130, 7479], [2722, 5139], [2498, 3933], [3678, 7398], [226, 9968], [5295, 8235], [6692, 10264], [412, 6940], [5133, 9405], [3760, 8928], [1561, 5457], [1681, 10477], [2478, 4405], [1115, 11005], [1643, 11124], [6156, 6470], [3699, 8625], [1976, 3605], [7799, 9659], [3494, 3682], [2912, 4458], [1405, 3789], [4307, 6414], [4959, 11295], [8040, 8967], [2863, 3815], [2956, 9641], [8193, 9182], [1687, 9487], [2113, 11581], [1549, 3137], [1557, 7162], [1987, 6746], [2552, 5212], [357, 4923], [680, 10272], [984, 4267], [2763, 3934], [4437, 4551], [2169, 9611], [4529, 7523], [10007, 10159], [5588, 9530], [3589, 6147], [3532, 5613], [7973, 9973], [4999, 9889], [7819, 9506], [479, 6202], [2380, 6798], [1041, 11567], [10019, 10169], [3716, 11557], [4836, 11588], [342, 2706], [4845, 5665], [6663, 10168], [9390, 9594], [960, 8353], [1242, 11449], [7364, 7771], [2604, 4597], [3015, 6383], [3318, 3940], [5460, 6877], [828, 10119], [1444, 1757], [1727, 7707], [4304, 10572], [1322, 9873], [4741, 4911], [10819, 11484], [2531, 9195], [10529, 11156], [6673, 9701], [6910, 8890], [6731, 7427], [3620, 3874], [2188, 9206], [7756, 8352], [5412, 9438], [6747, 11343], [1305, 1948], [5005, 8525], [3738, 11450], [3979, 8129], [1866, 10094], [2210, 7652], [832, 2667], [988, 9596], [2177, 5260], [1306, 8185], [5062, 8278], [3102, 4823], [4132, 6092], [181, 11193], [1389, 6907], [9042, 9210], [6763, 8439], [3038, 4249], [2850, 10614], [1260, 1774], [2863, 4433], [996, 2667], [3021, 5019], [3580, 6703], [885, 6034], [3614, 6287], [3312, 11584], [4140, 5579], [5333, 10784], [1739, 10295], [2623, 7575], [11140, 11444], [1560, 8832], [1028, 2555], [4288, 4696], [2576, 7759], [375, 455], [858, 9499], [221, 6404], [3296, 8048], [1952, 8309], [6814, 8727], [1613, 2427], [5005, 11103], [4341, 5461], [3544, 4363], [5691, 8398], [390, 11316], [1642, 10712], [7146, 8153], [6425, 8393], [671, 3607], [6581, 8152], [755, 2554], [3251, 10907], [1818, 6215], [2962, 10804], [10410, 11167], [4118, 6328], [4087, 4763], [2784, 11441], [1597, 3772], [3281, 5831], [6662, 10965], [373, 9053], [5553, 8060], [4772, 8249], [1281, 5229], [2962, 7771], [2623, 3387], [689, 1153], [5855, 8398], [2056, 5225], [717, 6584], [5099, 9583], [10171, 10777], [10900, 11152], [460, 4484], [3357, 6765], [6101, 8804], [2334, 3634], [2007, 7211], [8328, 11290], [6616, 7183], [2010, 5230], [4134, 6807], [791, 10855], [1766, 8253], [8109, 9647], [9869, 10038], [2816, 10174], [3750, 6817], [1293, 8972], [5212, 9995], [1685, 11482], [4739, 8085], [8223, 9934], [7851, 8076], [4616, 6931], [8064, 9123], [321, 8058], [8993, 9586], [2033, 5749], [1056, 1862], [8313, 9827], [1969, 8208], [92, 8760], [185, 8951], [364, 4752], [3328, 4091], [1183, 10682], [5135, 8435], [1763, 6827], [8249, 9253], [5014, 10360], [7686, 10079], [3223, 3516], [3042, 4636], [3565, 6663], [7405, 7585], [8613, 9715], [2194, 2849], [1493, 8629], [4201, 11011], [3382, 7710], [6305, 11212], [6334, 9698], [4539, 10252], [4026, 4779], [1760, 3496], [1078, 2910], [2066, 10369], [10032, 10917], [5491, 8605], [285, 1961], [10584, 11430], [2332, 8798], [2647, 7089], [9364, 10414], [3731, 4457], [6625, 9473], [3584, 11577], [2550, 7156], [6070, 8662], [10488, 11318], [7057, 8349], [343, 8705], [4, 9239], [2131, 4728], [5277, 9965], [3107, 11396], [2544, 9970], [4101, 5838], [235, 7859], [3633, 10688], [54, 5569], [5532, 8205], [389, 7545], [1755, 2347], [1634, 10688], [379, 3824], [133, 385], [7228, 10274], [1813, 11370], [1529, 5949], [476, 724], [1035, 2408], [1656, 4970], [2834, 8389], [2089, 8235], [33, 154], [1060, 3404], [3393, 3657], [6008, 10012], [1524, 8234], [7945, 9511], [901, 2593], [7067, 9767], [493, 1078], [1614, 8127], [864, 3465], [494, 2434], [4291, 8944], [3910, 9252], [171, 1966], [1301, 6849], [2861, 7152], [1419, 4626], [256, 1515], [5868, 6595], [4159, 9175], [2037, 6890], [1014, 10175], [1092, 5170], [2442, 8107], [1871, 4908], [6548, 9710], [5333, 6409], [3614, 5295], [3796, 7029], [2184, 9919], [835, 9836], [7153, 10234], [2764, 6064], [4608, 9536], [11066, 11442], [9581, 10724], [3755, 4372], [291, 6181], [4380, 10059], [6804, 10430], [7573, 8726], [5581, 5733], [3874, 9140], [1231, 7907], [3590, 9381], [4366, 8848], [171, 1511], [12, 7116], [5542, 5778], [4266, 8617], [2241, 6265], [4727, 9766], [6043, 6703], [2428, 6091], [3028, 3612], [184, 5129], [4301, 4639], [5497, 9418], [7220, 10651], [248, 10217], [2579, 3227], [5228, 7658], [3315, 6301], [3507, 6471], [2796, 10809], [107, 9231], [3226, 10393], [1132, 5992], [5342, 5693], [3931, 5486], [4648, 10008], [2542, 6728], [1231, 10135], [326, 1398], [166, 3395], [1497, 7810], [351, 2394], [631, 11079], [6977, 7109], [163, 9513], [5423, 10758], [1727, 4300], [1658, 2251], [3316, 9505], [1496, 8339], [6707, 8911], [5795, 9583], [5394, 8485], [8651, 11109], [8071, 9302], [218, 10351], [6045, 6725], [123, 665], [6414, 8285], [7534, 8316], [316, 10105], [523, 1538], [8113, 10652], [10009, 10904], [2113, 3181], [578, 11044], [4845, 7869], [7186, 7983], [7962, 8204], [1792, 10710], [2286, 4829], [2015, 10193], [3777, 7247], [5272, 6401], [1822, 9798], [4841, 7346], [1847, 5132], [6291, 9009], [8577, 9416], [3615, 5384], [5137, 9367], [402, 8724], [3300, 7443], [3448, 3931], [4695, 9399], [5285, 6232], [7117, 8943], [4176, 10497], [8648, 10006], [2478, 10260], [8046, 8625], [2669, 6795], [6502, 6546], [4031, 4107], [266, 2016], [1661, 10388], [348, 10716], [6617, 8189], [5237, 8793], [6892, 10114], [130, 8544], [8, 445], [4584, 10857], [821, 3931], [480, 10054], [3312, 7022], [2689, 7797], [695, 4758], [1940, 10153], [7406, 11274], [7447, 11275], [711, 8674], [1908, 11369], [2211, 8172], [5292, 6598], [3210, 3712], [1856, 4039], [2415, 5723], [7567, 9098], [272, 4813], [5592, 6109], [4105, 10980], [2421, 5888], [929, 10415], [5036, 5073], [1758, 9516], [4182, 9887], [5300, 9091], [3228, 11057], [4154, 7839], [3596, 9009], [4305, 8008], [7474, 8533], [975, 10009], [7754, 10802], [8191, 10803], [2057, 6550], [4030, 8712], [7657, 10869], [475, 8905], [8534, 11142], [1034, 10589], [8964, 10726], [2305, 10035], [4454, 7727], [4320, 5283], [2005, 9743], [89, 2453], [5324, 7583], [2984, 10323], [317, 4532], [3111, 5180], [5535, 5551], [9609, 10649], [5156, 8938], [5792, 6116], [212, 9619], [4966, 6562], [1016, 8855], [2079, 8352], [4407, 8261], [2734, 9744], [1576, 6977], [8016, 8304], [2811, 7520], [2899, 7367], [1608, 5734], [3117, 8758], [1687, 3583], [3084, 6366], [327, 8229], [141, 4841], [6972, 9961], [6165, 8175], [4515, 4946], [5633, 10566], [3742, 4996], [3367, 3621], [7563, 9648], [3107, 4256], [1370, 8198], [3429, 10134], [1557, 1608], [3164, 8173], [831, 1504], [5719, 7307], [2455, 2758], [581, 6991], [5381, 10695], [6434, 8750], [964, 10893], [3321, 9288], [802, 6401], [3001, 3456], [4188, 4709], [2629, 8014], [449, 2341], [5366, 8882], [5068, 9417], [8875, 9475], [3850, 11480], [6020, 10803], [3215, 10740], [7473, 9731], [1525, 8866], [8531, 8884], [3205, 7019], [5230, 9371], [8652, 10342], [5940, 11224], [1246, 6418], [2519, 6691], [939, 11371], [4201, 8677], [1145, 8995], [832, 4334], [933, 11556], [3894, 11378], [4692, 8914], [1328, 1505], [3351, 7194], [3454, 3909], [639, 10328], [9396, 11375], [1516, 4185], [3135, 5849], [6808, 7597], [1013, 3564], [6116, 6323], [8110, 9362], [8476, 11405], [6707, 6764], [1258, 6778], [3443, 7133], [979, 7363], [263, 7947], [9879, 10970], [8814, 10646], [1291, 1973], [3206, 6439], [3421, 7559], [5544, 7036], [1160, 3210], [9157, 10985], [5540, 9546], [6142, 7894], [2178, 2964], [1706, 3154], [4265, 9577], [7375, 8741], [6162, 6267], [8030, 10133], [6158, 8777], [3228, 4104], [810, 5433], [10951, 11310], [397, 9990], [458, 4227], [1111, 5546], [37, 1726], [7230, 11396], [10129, 10340], [7104, 8813], [4058, 10573], [4767, 9572], [6917, 10118], [635, 5967], [1996, 9093], [38, 1547], [1706, 2349], [1898, 8935], [5265, 10199], [3914, 7037], [273, 1040], [4198, 10179], [2111, 6949], [3159, 5414], [2546, 6877], [7021, 10067], [2315, 3746], [1256, 7374], [1846, 4207], [9812, 11171], [7203, 8768], [484, 8026], [1029, 5116], [1058, 10772], [2495, 9167], [6099, 9620], [2549, 9403], [10119, 11449], [4518, 7659], [2677, 7868], [3983, 4871], [1708, 8006], [92, 4361], [10360, 11511], [2860, 3788], [1244, 6559], [9539, 11547], [3319, 8274], [4939, 6376], [1448, 3356], [1262, 4886], [484, 3838], [2466, 9526], [2311, 6205], [5714, 6372], [4406, 9296], [4838, 9707], [8322, 11556], [3064, 4722], [7890, 8893], [8387, 9699], [574, 3731], [1909, 7888], [5744, 8466], [6983, 9909], [4777, 5267], [6946, 10781], [3610, 4666], [4764, 9943], [781, 799], [8402, 9226], [4823, 10523], [3020, 4800], [4328, 7511], [498, 5025], [6657, 6864], [5655, 11026], [6462, 9806], [2386, 3881], [920, 3213], [1360, 9901], [2723, 3274], [4345, 7865], [1265, 6631], [205, 7405], [10357, 10408], [863, 6062], [3258, 7193], [2258, 8018], [8287, 8313], [5363, 11002], [7259, 11254], [3995, 7459], [2725, 10113], [595, 10219], [1603, 3593], [3363, 10400], [2196, 10523], [381, 9701], [6286, 7486], [7280, 9098], [4611, 8896], [3016, 3122], [4053, 7814], [6632, 7342], [1242, 7936], [4330, 9785], [4755, 9025], [11262, 11574], [4220, 5483], [7528, 8796], [1205, 8808], [8873, 11389], [7027, 11254], [4439, 9728], [3792, 5945], [5750, 7075], [2672, 5914], [3006, 5036], [6207, 8482], [5069, 7091], [355, 3161], [976, 5723], [5495, 9185], [3432, 4097], [9718, 11373], [1664, 7228], [4931, 10540], [5301, 9319], [3059, 8430], [4334, 6120], [8668, 10583], [1598, 8860], [1407, 5128], [285, 8434], [352, 10410], [388, 5903], [3552, 6084], [5427, 11121], [3651, 9473], [4265, 5202], [999, 11160], [8724, 10111], [6620, 9186], [1205, 11036], [4166, 4442], [5511, 7035], [960, 4035], [497, 2813], [1424, 8865], [4761, 11418], [6473, 9109], [7469, 10794], [262, 2946], [2254, 2906], [5970, 8488], [3534, 4350], [5068, 9848], [1537, 3265], [9945, 10574], [3242, 3949], [4215, 11100], [2781, 8435], [1850, 4893], [8562, 8628], [661, 6977], [7944, 9747], [6299, 6862], [939, 2003], [8564, 8674], [5205, 5773], [2736, 5659], [688, 8019], [4666, 11157], [3607, 8369], [3051, 3950], [6254, 9721], [2068, 5910], [5619, 8981], [3597, 11064], [1425, 9416], [8152, 10019], [545, 8091], [4466, 10695], [1443, 9241], [2625, 3734], [2248, 7948], [642, 4991], [565, 3081], [6703, 9705], [4743, 5496], [4146, 7492], [10212, 11052], [193, 10268], [5138, 6025], [2178, 3395], [3215, 7333], [8313, 10502], [2284, 3791], [1654, 9811], [3951, 10407], [4820, 10819], [496, 628], [1645, 5561], [3613, 5127], [6159, 8679], [307, 8276], [5498, 6718], [1802, 7430], [425, 5299], [1012, 2615], [3425, 5049], [6061, 9275], [8743, 9682], [3165, 9848], [3690, 6286], [4259, 8658], [7024, 11574], [8449, 9235], [3655, 7231], [5003, 9341], [4774, 7791], [1785, 5921], [444, 9863], [1278, 3646], [1909, 6896], [2470, 2991], [5649, 10620], [1568, 4351], [2618, 8524], [3573, 3792], [2080, 11100], [1366, 6095], [2336, 6559], [6818, 7510], [5218, 10060], [4350, 11004], [5002, 8715], [5372, 7494], [6932, 7797], [1149, 4525], [240, 8878], [5899, 10394], [10381, 10591], [2074, 8252], [415, 773], [2094, 2488], [72, 10233], [8862, 10262], [227, 7892], [4247, 9721], [1415, 5583], [1100, 10675], [6112, 7654], [4152, 10615], [3438, 4856], [2064, 7160], [2807, 4989], [374, 7538], [56, 2533], [3113, 8479], [4422, 4999], [342, 1584], [1677, 3489], [837, 5727], [5379, 6729], [6380, 9512], [9119, 10453], [5191, 7432], [1172, 2041], [2556, 10224], [1271, 6184], [8666, 9195], [51, 1785], [2822, 7899], [2142, 8140], [9518, 11101], [1015, 6938], [4754, 7808], [1886, 4013], [1571, 2689], [239, 5219], [2260, 10081], [7363, 9430], [1415, 7811], [489, 4613], [2843, 5743], [5809, 6663], [5270, 5631], [2561, 10194], [288, 4330], [4954, 11252], [1946, 5168], [941, 2643], [2558, 9896], [722, 10449], [3647, 8362], [4428, 8173], [5486, 7326], [751, 2519], [4329, 8167], [8687, 10772], [9029, 9755], [7343, 11033], [1248, 6708], [10605, 10968], [2331, 4605], [1145, 6206], [7590, 7877], [4845, 7121], [2078, 3378], [4438, 8460], [2685, 4352], [5551, 11484], [2414, 8962], [6198, 8851], [5963, 9708], [3184, 8614], [3178, 4635], [8183, 11023], [540, 7910], [5984, 6798], [6051, 8774], [1837, 9331], [5799, 11182], [5973, 6639], [2958, 9964], [2397, 7453], [4348, 5160], [1180, 7489], [1770, 10738], [4485, 7875], [9643, 10341], [7031, 8421], [9333, 9361], [3977, 6156], [3323, 7618], [2149, 10734], [559, 1894], [5032, 10673], [1269, 3747], [1479, 4523], [2506, 4363], [1699, 2577], [111, 980], [1172, 10230], [917, 2541], [1174, 10276], [1441, 7422], [2781, 9671], [8450, 9623], [3025, 10031], [2376, 5421], [3282, 11350], [4550, 4863], [3270, 3419], [2841, 4437], [2495, 3800], [535, 9013], [3621, 7783], [8060, 11316], [6857, 9530], [10047, 10932], [126, 11437], [332, 4897], [2381, 5391], [9548, 10430], [6437, 7631], [5566, 10556], [3911, 6983], [3047, 11079], [1235, 9774], [1134, 3306], [6887, 7867], [7117, 10773], [1356, 11232], [1731, 11109], [487, 9322], [3116, 5961], [271, 7223], [7539, 8961], [4746, 11167], [2346, 2522], [4997, 8534], [2119, 4051], [317, 3434], [3064, 9154], [4860, 5038], [1227, 9482], [718, 7161], [7533, 7611], [721, 10842], [1153, 7089], [2643, 5899], [4198, 9268], [6076, 8160], [3447, 10797], [1874, 10232], [7614, 10424], [2452, 9714], [1108, 4313], [746, 9559], [684, 2265], [522, 3435], [5993, 11316], [4226, 7502], [671, 6941], [2706, 9981], [552, 9693], [2911, 7003], [514, 9209], [270, 6597], [2105, 8825], [5116, 8010], [114, 9467], [3942, 11126], [1604, 4113], [7643, 9260], [1729, 9477], [7429, 10994], [1156, 3199], [476, 9856], [6059, 10034], [7038, 9860], [3557, 8282], [7292, 7498], [2839, 5787], [5172, 6040], [589, 10672], [6537, 9285], [625, 3913], [7911, 10364], [654, 2399], [3360, 8118], [873, 7398], [1991, 10766], [9582, 11437], [586, 10751], [4660, 9433], [7339, 11077], [4842, 8915], [8147, 9301], [8177, 10641], [7523, 9851], [789, 3913], [1313, 6542], [2443, 7261], [795, 5613], [2255, 7964], [412, 11510], [11243, 11418], [3407, 3746], [1745, 6172], [695, 11044], [2397, 3883], [4055, 11137], [3542, 9074], [2924, 3777], [713, 5207], [4259, 7934], [6779, 8013], [5345, 6102], [121, 4514], [4386, 11092], [3537, 4916], [610, 11094], [1665, 3560], [544, 10474], [2142, 6343], [2106, 4434], [1575, 4017], [2377, 3207], [4529, 6832], [11251, 11255], [2872, 9602], [2624, 9500], [2166, 7868], [9069, 11171], [286, 2487], [3995, 6898], [3517, 3890], [6517, 9302], [5609, 9716], [2338, 2498], [1631, 11496], [1912, 10203], [1279, 10290], [3773, 11400], [412, 7672], [4106, 11051], [4706, 8572], [6941, 7536], [3921, 10517], [10392, 11157], [2481, 4654], [6402, 7258], [10827, 11085], [1425, 10465], [2110, 4152], [988, 3294], [1418, 9294], [2010, 6954], [1702, 2637], [2847, 10080], [2252, 6487], [7145, 8470], [1102, 3581], [5659, 9779], [8789, 11130], [386, 1913], [2695, 4024], [8518, 9324], [10252, 10746], [1164, 7842], [1446, 10938], [2468, 10434], [2411, 7648], [2032, 11035], [690, 5707], [2995, 3912], [4858, 8188], [4328, 4990], [1781, 10635], [2249, 5785], [147, 1523], [2110, 2997], [5265, 6068], [4179, 4867], [4788, 5914], [4134, 7376], [58, 7867], [2487, 8582], [4858, 5155], [2304, 9629], [7378, 7486], [4764, 11155], [1741, 4039], [5976, 7742], [2676, 8454], [4417, 11047], [1363, 8028], [8646, 10798], [10542, 11050], [1366, 8299], [2364, 6647], [335, 10969], [1450, 10656], [1042, 9141], [4347, 8773], [3069, 11539], [7793, 11269], [1224, 7842], [1745, 6790], [3204, 10451], [98, 826], [650, 1339], [10456, 10875], [4071, 9255], [3706, 8568], [4322, 6622], [896, 8161], [3518, 8517], [2729, 7310], [888, 1103], [5497, 7491], [5029, 5171], [3788, 9317], [44, 6605], [5532, 9929], [2628, 4225], [5406, 10756], [1294, 5174], [7071, 7877], [7110, 7805], [6487, 8580], [10377, 11117], [8220, 9777], [4579, 10196], [1561, 9840], [432, 5559], [7787, 10649], [2467, 9353], [6908, 7297], [5703, 11100], [9550, 10557], [2391, 3127], [281, 9527], [1122, 3727], [3670, 7352], [939, 10436], [3428, 11202], [641, 6837], [5446, 5967], [1356, 1864], [7806, 8797], [7339, 10085], [6181, 9570], [830, 5955], [1410, 2100], [833, 10390], [3744, 5961], [473, 11575], [1068, 8752], [4461, 8231], [1539, 1921], [7137, 11075], [4871, 10546], [5211, 6450], [436, 8660], [2829, 8964], [258, 3635], [192, 5267], [4046, 5895], [6532, 7144], [1895, 5124], [778, 8774], [831, 8408], [8869, 9768], [901, 6895], [2792, 6803], [118, 10421], [1298, 10503], [6688, 11040], [2667, 11238], [241, 8542], [3316, 5268], [1171, 5443], [4063, 9632], [1880, 4442], [2934, 6105], [7770, 10964], [480, 7777], [6364, 11101], [1851, 8585], [6427, 8417], [598, 8964], [5357, 8503], [3251, 5223], [2711, 7753], [900, 2886], [691, 2712], [3242, 10772], [6750, 10763], [6722, 8715], [3308, 8359], [402, 5992], [4323, 7842], [1269, 1413], [740, 5233], [1330, 2066], [3016, 4952], [270, 2840], [4819, 5013], [834, 4868], [5536, 7283], [7220, 9342], [448, 11248], [5499, 8155], [7462, 8875], [9222, 10020], [3778, 6214], [7518, 9938], [2727, 7451], [136, 6408], [4905, 10799], [196, 797], [2565, 7123], [3683, 6327], [4211, 6446], [8343, 8516], [4298, 9074], [962, 2959], [2336, 10454], [720, 6809], [8182, 11042], [615, 2851], [3142, 6353], [7692, 11380], [1185, 1661], [498, 11311], [1830, 9535], [7931, 10642], [1487, 8415], [6848, 9712], [1208, 6748], [6598, 9537], [296, 3256], [454, 11012], [2175, 9166], [981, 6742], [862, 9494], [84, 8446], [3929, 5578], [9135, 9970], [10317, 10879], [4984, 7843], [6613, 10195], [5147, 9527], [4951, 5451], [2530, 3099], [2215, 8191], [4338, 6914], [3653, 6811], [6576, 10313], [1597, 2894], [561, 8226], [6765, 6802], [1310, 2837], [1334, 7395], [4229, 8849], [3415, 6646], [2556, 4670], [123, 4967], [3941, 5938], [1829, 10757], [10194, 10822], [180, 4720], [10195, 11424], [5463, 10298], [3166, 6292], [10000, 10956], [3529, 3900], [4031, 9214], [6493, 7403], [6400, 11376], [285, 11337], [720, 11265], [6177, 8860], [3586, 7817], [2559, 3813], [619, 7426], [1186, 3309], [64, 6615], [4267, 7397], [4671, 5760], [521, 3858], [1646, 4233], [658, 10737], [6933, 7301], [4973, 6098], [5449, 6027], [1110, 1220], [3751, 5790], [3628, 6888], [1976, 6996], [4780, 9086], [3789, 5493], [7025, 7240], [1758, 11240], [5937, 5966], [11276, 11476], [1102, 3207], [5365, 8958], [4780, 6053], [6242, 9231], [265, 3464], [4184, 10903], [2410, 5918], [4151, 9265], [9660, 10460], [1260, 1514], [8531, 9185], [5303, 11463], [5389, 10483], [1629, 9490], [2558, 9953], [1503, 11071], [7633, 11418], [4388, 5421], [2834, 8316], [2022, 6940], [427, 9834], [5998, 8497], [3645, 10975], [896, 2176], [5842, 7203], [2208, 2377], [6786, 9452], [9525, 10393], [711, 6560], [5351, 8097], [458, 1950], [3262, 4040], [3599, 6843], [2350, 4712], [2351, 8320], [4412, 10329], [171, 1893], [8214, 10767], [3156, 6273], [1268, 10800], [368, 8823], [3621, 8295], [2692, 5580], [7795, 8339], [3439, 9944], [4206, 5915], [1155, 9583], [2626, 4179], [5024, 11243], [1590, 8757], [2037, 10200], [1373, 10974], [7316, 11495], [1311, 9342], [4671, 7183], [4789, 11376], [2249, 11022], [6440, 11043], [4883, 8759], [4475, 6490], [7432, 9576], [5045, 6054], [3857, 10992], [4716, 6552], [777, 9758], [3795, 10114], [5679, 8851], [2131, 9461], [1293, 1946], [3476, 5638], [2667, 3025], [5029, 8180], [5524, 8159], [7554, 10855], [971, 9250], [6081, 6764], [3906, 7851], [3242, 8625], [6599, 8447], [1232, 7305], [7667, 8288], [2715, 4944], [2837, 10791], [3998, 10823], [6262, 9027], [8603, 9141], [3842, 9529], [8806, 9500], [7603, 7714], [1459, 9189], [530, 2310], [3833, 5279], [1304, 5868], [2178, 2460], [4975, 6789], [2263, 3507], [4852, 7887], [924, 9030], [3291, 10365], [6498, 7210], [7890, 9649], [4538, 10171], [6212, 11542], [587, 9610], [9639, 10605], [1759, 3415], [4444, 7503], [772, 8609], [6252, 7908], [445, 5770], [6086, 9336], [1294, 3995], [8200, 10979], [9377, 11544], [8356, 11492], [1135, 3184], [9283, 11128], [5016, 8641], [4121, 11172], [7784, 8068], [8405, 11384], [2340, 9180], [1756, 9129], [4920, 5146], [4235, 11459], [1303, 3707], [9618, 10825], [7376, 7684], [3114, 5541], [2369, 4633], [2365, 7143], [8860, 8931], [2700, 9873], [4358, 10711], [3069, 5017], [8423, 11559], [620, 11197], [9569, 10559], [3719, 6065], [11079, 11499], [3256, 4843], [5907, 10101], [5470, 9346], [7123, 9840], [1970, 2830], [3188, 3396], [822, 7167], [3003, 10032], [860, 6870], [700, 8867], [5930, 7991], [2131, 11234], [2371, 9940], [9033, 10148], [1213, 7173], [4485, 11583], [4665, 10238], [2805, 3227], [1127, 11536], [432, 3575], [1063, 7579], [9681, 11500], [7874, 10539], [3163, 10290], [6499, 9989], [6160, 6359], [3570, 8170], [1118, 10669], [6363, 9347], [138, 5730], [578, 10166], [5115, 10824], [8705, 10817], [3564, 5322], [4400, 5594], [5375, 8654], [5606, 11061], [3938, 7226], [8377, 10759], [5491, 9768], [2058, 4474], [3552, 4157], [2511, 8391], [243, 619], [5502, 10307], [3009, 5635], [9242, 9867], [4006, 4512], [2364, 8314], [3415, 10460], [2443, 6163], [2634, 3479], [213, 1127], [7033, 8337], [5498, 9784], [4937, 5021], [2946, 8669], [2745, 4249], [4090, 6842], [3305, 8787], [8630, 11181], [7016, 9861], [3627, 8249], [1525, 3987], [7907, 10971], [7064, 9528], [873, 5495], [3452, 8433], [6607, 11504], [2894, 3941], [1397, 1708], [2243, 2668], [1300, 8191], [3609, 3886], [3509, 5934], [5138, 8286], [527, 5235], [9393, 10012], [3848, 9537], [5415, 10257], [2731, 9023], [6396, 6746], [2639, 9434], [4659, 5026], [3688, 10753], [6988, 7789], [4245, 9358], [3156, 4476], [363, 6682], [4458, 10405], [9437, 11408], [8568, 8744], [1216, 1673], [5453, 8455], [3371, 9733], [1406, 8186], [884, 9013], [2407, 3799], [1097, 10060], [2000, 11554], [5572, 6834], [5360, 9395], [3705, 5822], [7435, 11110], [1898, 11277], [100, 1734], [9363, 9365], [10987, 11373], [218, 10091], [3977, 7449], [9763, 10238], [1427, 2243], [2452, 9584], [5344, 7357], [5750, 8799], [10101, 10233], [5997, 8676], [1205, 7499], [265, 6123], [4869, 8003], [4559, 7023], [5465, 5782], [200, 4193], [3663, 5165], [5924, 10268], [9604, 9777], [2469, 6905], [8637, 10742], [5184, 10458], [4213, 9769], [3027, 11370], [4930, 5623], [6327, 10658], [322, 9259], [1991, 10286], [1494, 3064], [2828, 11160], [27, 2171], [687, 11077], [2249, 11453], [2829, 7598], [4885, 5099], [2794, 11549], [2419, 9420], [877, 4004], [1247, 2783], [1023, 3829], [3947, 10185], [10170, 11477], [1204, 3086], [1632, 1843], [2659, 5847], [2017, 2408], [8538, 8827], [5060, 10176], [1781, 5349], [4346, 5171], [3353, 7167], [1691, 8839], [4344, 8508], [8235, 8237], [9226, 9578], [827, 9902], [3215, 9862], [8535, 11158], [2938, 4858], [4762, 9206], [5758, 7481], [3748, 10325], [1338, 1746], [2812, 6439], [1628, 11119], [967, 9158], [2887, 7552], [1644, 2203], [1239, 10785], [6815, 9792], [7503, 7914], [7776, 9012], [400, 3799], [2353, 3831], [8206, 8596], [7407, 10835], [1356, 8337], [86, 5329], [6705, 8873], [7836, 10194], [4720, 7051], [2688, 3528], [10437, 11201], [410, 730], [698, 10030], [6147, 7010], [2307, 3836], [1539, 8394], [9561, 11503], [1037, 10627], [5729, 8190], [5385, 8380], [7606, 7638], [7506, 10440], [1470, 9728], [2932, 6490], [318, 3743], [6068, 11039], [277, 1490], [1051, 7300], [490, 2537], [1742, 4185], [9460, 11047], [4797, 7806], [561, 11048], [52, 8727], [7309, 10276], [808, 10925], [4187, 8816], [3597, 5567], [675, 11335], [1143, 7239], [7311, 10322], [7390, 8171], [1015, 7239], [801, 6721], [2847, 3534], [4906, 11132], [5868, 7571], [5281, 11009], [4557, 4562], [6272, 8186], [6774, 9336], [2411, 4135], [4083, 4679], [9810, 10271], [6412, 7442], [5515, 9146], [4331, 8164], [2284, 4710], [4142, 8642], [1901, 9109], [5473, 6641], [1899, 8282], [896, 2420], [1859, 8883], [1026, 8128], [6222, 7668], [10642, 11151], [2140, 7590], [3749, 4402], [5961, 6580], [959, 3873], [5434, 7063], [9360, 10011], [363, 8723], [722, 3179], [1291, 5551], [83, 3421], [35, 6413], [819, 6495], [6173, 10785], [2587, 4495], [1410, 3930], [7421, 9281], [10217, 11510], [4245, 5333], [2800, 5542], [8714, 10960], [4822, 7596], [5914, 9743], [2048, 7600], [3455, 11071], [2419, 9233], [6617, 10425], [3456, 7509], [242, 9493], [1171, 9956], [923, 6444], [3655, 3962], [1915, 10639], [5215, 10681], [8392, 8815], [2778, 7072], [1941, 8827], [2230, 2514], [1130, 10305], [6548, 8726], [4705, 5102], [381, 6245], [4093, 10173], [1130, 7272], [3733, 8325], [7186, 8609], [149, 2862], [2169, 4870], [1812, 10460], [2182, 9239], [3851, 10266], [1425, 7570], [6349, 8866], [5222, 7664], [3350, 5554], [643, 9032], [1013, 8565], [4409, 7561], [8806, 10094], [6502, 8327], [1891, 5276], [4100, 10189], [2644, 10209], [6001, 10785], [6309, 8686], [332, 2165], [4853, 8706], [4595, 7916], [13, 5603], [5272, 7377], [10039, 10187], [3711, 9855], [2037, 2068], [2503, 7725], [1104, 8279], [2193, 8997], [44, 9053], [4022, 7273], [2587, 5918], [7999, 10186], [6204, 10740], [6302, 7865], [1749, 8202], [7902, 10253], [1751, 2613], [5505, 6043], [4484, 5991], [3701, 9517], [4518, 4821], [743, 2796], [1553, 8263], [1584, 7576], [4164, 9958], [1301, 4255], [301, 11496], [5664, 7204], [1858, 5112], [3482, 7120], [483, 10978], [2766, 5452], [2252, 2787], [5186, 10585], [2127, 7222], [3281, 6083], [8784, 10469], [826, 8284], [3213, 8019], [534, 7129], [7468, 9745], [3268, 8480], [4085, 8702], [5764, 10417], [7099, 7404], [4743, 9611], [3960, 6721], [3538, 7028], [6075, 11218], [3510, 4980], [992, 2695], [10169, 10552], [1609, 7767], [6024, 6742], [1742, 6576], [6374, 8252], [7676, 10017], [5923, 10073], [5900, 8369], [6402, 9519], [1539, 9630], [4870, 8231], [10219, 10265], [8137, 11543], [6431, 11388], [6178, 10942], [2563, 6166], [7599, 7703], [2710, 8845], [5862, 5983], [7816, 9623], [4165, 8600], [4385, 6654], [3053, 9184], [2210, 5489], [3242, 9837], [4166, 5792], [3078, 10180], [3854, 3985], [5123, 7522], [11017, 11534], [2237, 6531], [3950, 7830], [1385, 1592], [3439, 8846], [6303, 8735], [3655, 7158], [5062, 6465], [1294, 4857], [599, 4066], [5311, 7169], [9406, 10892], [9314, 11303], [1377, 3579], [2564, 4832], [1346, 2014], [6984, 9069], [1220, 5847], [6167, 8847], [7983, 10271], [4576, 6198], [8534, 11313], [1474, 10278], [4084, 9119], [6529, 10367], [1639, 7901], [4603, 11404], [7865, 8710], [3448, 8908], [1963, 4026], [8549, 10840], [6899, 8365], [5151, 8765], [9371, 11406], [4287, 6445], [5193, 5204], [401, 6279], [4506, 10690], [886, 3318], [3848, 6748], [8457, 8972], [4625, 9823], [8880, 10795], [2691, 6835], [3190, 4304], [6698, 10711], [5053, 7826], [5423, 7359], [450, 3138], [3099, 7569], [4451, 6445], [3561, 9320], [6563, 11425], [5766, 10327], [1220, 8425], [5263, 9706], [2668, 7009], [6539, 10250], [3387, 6696], [1737, 3467], [5283, 6194], [426, 458], [3824, 6697], [5434, 10527], [10012, 11186], [55, 5618], [6906, 8731], [1307, 8020], [2914, 7415], [5130, 7083], [6427, 7750], [4849, 6841], [6368, 11307], [5284, 10933], [3503, 11193], [1471, 5418], [1255, 10489], [145, 4730], [4966, 9311], [441, 7532], [1564, 11244], [5795, 8412], [7818, 9937], [3931, 11081], [438, 818], [2559, 2878], [7436, 10020], [6730, 9040], [5042, 10245], [11086, 11572], [1779, 2888], [5846, 10979], [650, 5023], [3601, 4157], [493, 7291], [5006, 7555], [3858, 5476], [861, 2991], [1986, 3366], [5248, 7088], [2662, 6389], [2142, 3879], [2880, 7780], [247, 7235], [3256, 10511], [300, 4617], [634, 3739], [3820, 6123], [386, 3637], [1728, 2549], [4240, 4265], [580, 6886], [1010, 5716], [2846, 5917], [984, 10911], [2097, 3355], [755, 5197], [7888, 10652], [734, 4320], [470, 5213], [6700, 9928], [1434, 8114], [1215, 9504], [8756, 10812], [5167, 10667], [3558, 4029], [2524, 10188], [8521, 10945], [7337, 9209], [10461, 10715], [248, 1020], [555, 7364], [3697, 3814], [180, 1825], [2981, 4398], [1484, 8581], [840, 4315], [1769, 11194], [618, 5434], [458, 1015], [6435, 7536], [8150, 8908], [5438, 9790], [8540, 11345], [4099, 11149], [1081, 10039], [10011, 10105], [2046, 6749], [1325, 10399], [1576, 7766], [84, 8129], [2911, 5507], [6276, 10108], [4713, 9507], [5702, 10021], [8194, 10304], [10025, 10161], [3361, 9126], [6351, 7434], [4042, 6077], [212, 2837], [6199, 7794], [4576, 9394], [3394, 8485], [2581, 9136], [1141, 4404], [4809, 8060], [1017, 1894], [5963, 7675], [4872, 6130], [665, 1442], [2466, 10502], [3499, 11288], [1689, 4394], [6107, 7050], [217, 6163], [3926, 10574], [251, 4993], [1710, 8654], [5020, 8630], [3055, 4831], [2143, 5503], [2901, 10780], [4539, 5324], [3078, 5000], [1925, 9747], [4012, 6561], [4196, 9122], [145, 10609], [1557, 8008], [1855, 5221], [213, 9023], [3873, 6402], [2070, 2931], [2019, 9759], [1885, 7315], [1814, 8603], [7042, 10310], [7288, 7333], [4285, 8009], [5777, 7646], [4560, 9934], [163, 11538], [2276, 3157], [5134, 6264], [4177, 7917], [2097, 4323], [9719, 10723], [7195, 7492], [968, 7212], [3805, 4524], [1620, 4923], [276, 5184], [2208, 5093], [2387, 7310], [7286, 10239], [3447, 3503], [1427, 1495], [4593, 8138], [101, 7253], [7356, 7975], [5549, 7014], [10323, 10995], [984, 4308], [5143, 5572], [7512, 8488], [4989, 5105], [952, 5524], [890, 4646], [2616, 5453], [10408, 10544], [2223, 9888], [2598, 4847], [8200, 9239], [3250, 6722], [3996, 4068], [9035, 10040], [4104, 7573], [2870, 10638], [9931, 10363], [5289, 5747], [836, 4036], [5939, 6795], [5192, 5814], [4233, 6640], [699, 3923], [51, 6331], [1264, 3143], [6735, 10270], [11217, 11221], [5743, 7206], [6639, 7529], [3864, 3925], [2645, 10304], [7039, 8402], [5451, 6051], [10244, 10836], [3181, 10284], [6734, 7766], [720, 8533], [2766, 5346], [7468, 7761], [1002, 1049], [8376, 9599], [2058, 3539], [4236, 6133], [4014, 8006], [2267, 7096], [85, 4760], [4878, 8791], [3137, 3946], [3360, 6435], [2880, 9016], [10579, 10910], [6116, 10763], [1510, 1640], [525, 8415], [3783, 7477], [5768, 10430], [2471, 10659], [945, 9940], [4116, 7128], [4054, 6250], [4551, 6302], [2973, 5393], [660, 6546], [5610, 6811], [5950, 9131], [620, 731], [2308, 2909], [2151, 5177], [1991, 7928], [4448, 5773], [8123, 11354], [2863, 7857], [1803, 7877], [3514, 6097], [6432, 9255], [675, 788], [4317, 10393], [2727, 7215], [4750, 6488], [7960, 10020], [3383, 5799], [2483, 7986], [6275, 7736], [7646, 11550], [10313, 10925], [6951, 10759], [5679, 6924], [2224, 9977], [1730, 6436], [629, 7209], [4868, 7648], [389, 552], [4489, 4619], [201, 7671], [2398, 8063], [6551, 10236], [8848, 10832], [4426, 10686], [1621, 8371], [1122, 7492], [62, 1096], [285, 6995], [7623, 9472], [2828, 4614], [7652, 8712], [3419, 10717], [8493, 9328], [3505, 10491], [3608, 7206], [7596, 11032], [810, 9068], [746, 11527], [5132, 5600], [4161, 9075], [644, 4834], [4661, 9398], [2787, 4963], [767, 2955], [6088, 7105], [1415, 3176], [986, 7200], [296, 6753], [3844, 3891], [8415, 9795], [2785, 7519], [7355, 7563], [7492, 10278], [5403, 10385], [5140, 11503], [1814, 10994], [2437, 3803], [1630, 2017], [10030, 10936], [379, 2442], [7537, 9647], [5381, 8532], [3230, 7761], [1211, 8607], [4382, 9959], [3298, 5421], [7549, 9657], [393, 8914], [1955, 9290], [9049, 9155], [1322, 2961], [353, 3099], [4750, 11294], [1548, 2715], [4929, 7095], [7267, 7692], [2126, 4449], [4679, 6166], [324, 7996], [5525, 7880], [385, 2987], [414, 3725], [3547, 8757], [1964, 6750], [3400, 8707], [2025, 10409], [1491, 3305], [7437, 8261], [9066, 10613], [4117, 10950], [1022, 1514], [2422, 10984], [4920, 8830], [6995, 10545], [6496, 7414], [3817, 6524], [5816, 6901], [235, 1134], [2397, 6201], [7089, 7928], [1141, 7063], [9893, 10018], [5373, 6331], [2358, 10410], [3062, 8311], [3693, 11561], [7294, 8333], [1139, 9619], [3780, 7773], [5244, 7614], [1347, 3906], [7637, 7918], [3807, 5432], [4500, 10314], [4899, 9831], [1852, 8737], [7770, 10891], [7820, 11008], [1970, 6514], [4827, 5232], [8563, 11466], [8718, 9125], [2558, 10067], [5856, 6276], [2334, 3943], [1253, 10256], [8280, 8899], [563, 3393], [6318, 10279], [7966, 10429], [10987, 11056], [4416, 10212], [2513, 9543], [3359, 8251], [6122, 10340], [5777, 10305], [4060, 5854], [1174, 7869], [2943, 6094], [2408, 2552], [1571, 2055], [6271, 10813], [1885, 10324], [2881, 7845], [5080, 5654], [4245, 8236], [7758, 8571], [9372, 9891], [1755, 7999], [7109, 8125], [3213, 7271], [5988, 10875], [8116, 9972], [7030, 8771], [1154, 9472], [1565, 11258], [3893, 11167], [27, 1854], [4109, 5315], [4720, 7189], [3482, 8600], [5189, 5947], [5168, 11486], [5778, 8971], [4405, 5084], [2949, 9268], [2825, 7512], [3754, 10227], [11061, 11139], [9194, 10127], [3590, 9072], [4304, 7661], [10035, 10743], [2597, 3898], [4283, 6784], [4272, 8877], [2654, 7815], [2747, 4596], [37, 8557], [5978, 5999], [2785, 10715], [1875, 8050], [2656, 7861], [10720, 11196], [2498, 5023], [1121, 2892], [713, 7793], [341, 5935], [11211, 11433], [3611, 7266], [3829, 8657], [3820, 4407], [960, 4637], [1858, 5787], [1230, 6218], [7403, 10399], [3485, 11476], [390, 9210], [1711, 6491], [4507, 8720], [4194, 10475], [6559, 8731], [642, 9431], [4121, 4520], [547, 6161], [573, 5130], [5371, 10259], [3912, 4346], [7119, 7607], [1699, 1943], [9813, 11057], [4341, 10121], [11125, 11258], [2557, 4448], [4246, 6851], [471, 4072], [7134, 11298], [2657, 11445], [2939, 10377], [3464, 6061], [1899, 5387], [3394, 4541], [3767, 9253], [9894, 10083], [7224, 10410], [1118, 1789], [4566, 8145], [6131, 8038], [1182, 2713], [1830, 7852], [1226, 2261], [7154, 11519], [1351, 6871], [1413, 8503], [179, 7404], [881, 4478], [74, 2692], [705, 6696], [2532, 8309], [1544, 4233], [16, 9103], [10752, 11403], [10310, 11058], [3746, 7975], [6268, 10379], [4401, 9367], [7945, 9015], [1027, 1270], [1666, 8545], [85, 6614], [5162, 10404], [2927, 5024], [5167, 8496], [7596, 11463], [1024, 1349], [4199, 5826], [9450, 11489], [1769, 5640], [1392, 3438], [6653, 9789], [459, 5485], [803, 9459], [2252, 8268], [1290, 5413], [10701, 11414], [2329, 10178], [1384, 8458], [988, 8458], [322, 1989], [7197, 7408], [2000, 3479], [2848, 5266], [6327, 6771], [822, 9859], [158, 10633], [3332, 11502], [435, 553], [2083, 2201], [4333, 7115], [4952, 9604], [3553, 10158], [7, 7431], [1216, 10163], [2202, 7750], [7912, 9201], [4008, 4322], [8063, 9370], [3292, 9070], [5692, 6381], [6380, 10919], [5511, 8255], [4542, 8393], [707, 4809], [6097, 7598], [8273, 10119], [2889, 11282], [6714, 7008], [5430, 5822], [2350, 3834], [4215, 8937], [1821, 10660], [2855, 8665], [1974, 10902], [8328, 10957], [2380, 5928], [7424, 11490], [7675, 8857], [6641, 8600], [1221, 9352], [6088, 10114], [1064, 5204], [873, 2226], [214, 338], [8606, 9366], [2366, 4717], [2345, 3840], [7869, 8349], [10279, 11266], [9219, 11286], [2184, 2202], [498, 3480], [2837, 7685], [2575, 5241], [3633, 4394], [4968, 5545], [1674, 10209], [1426, 10107], [1667, 6786], [2797, 7505], [1763, 6494], [866, 8952], [4937, 7363], [4069, 8307], [1046, 7607], [6991, 8174], [2409, 10025], [2223, 11555], [1970, 6945], [2992, 9851], [4122, 10570], [6615, 8826], [7195, 11387], [2154, 8752], [6986, 10459], [5575, 10252], [3489, 7624], [1873, 10395], [2991, 7347], [3915, 9718], [4083, 5330], [4191, 8081], [6159, 9899], [5655, 8676], [5257, 11259], [4161, 10124], [6492, 9550], [6934, 10649], [5026, 8882], [1380, 2541], [1957, 8938], [6769, 11521], [2003, 11565], [6483, 8683], [2969, 10375], [9378, 10137], [9815, 10892], [1593, 3938], [2964, 6998], [5288, 10171], [4668, 10463], [819, 3763], [4735, 5269], [3214, 4894], [3274, 11361], [4478, 8087], [3741, 7040], [274, 2916], [2083, 9585], [4289, 4401], [264, 11273], [1523, 8430], [7891, 8191], [6332, 10742], [7744, 8895], [4805, 6388], [1138, 11248], [1973, 2250], [3170, 4191], [7671, 9356], [6616, 7468], [2409, 11448], [6614, 6641], [845, 1577], [5653, 11558], [1747, 10016], [1621, 10843], [4709, 6276], [4113, 4710], [5479, 8180], [6074, 9521], [2795, 4694], [7538, 10116], [752, 982], [222, 9118], [6971, 11200], [5011, 9997], [9307, 10970], [1808, 6855], [1668, 10258], [4125, 8857], [3467, 10577], [681, 2620], [8819, 9876], [8007, 8500], [4584, 9556], [3147, 8128], [2746, 7030], [2689, 6496], [4337, 6646], [8659, 9594], [1467, 6188], [8760, 9646], [10718, 10776], [5171, 10255], [4015, 4151], [165, 10812], [7572, 8922], [10777, 11356], [593, 8815], [9842, 10324], [7032, 10671], [3789, 5501], [6013, 11446], [9557, 11094], [3885, 8592], [521, 1183], [1202, 3796], [8048, 10729], [10983, 11582], [6186, 10061], [3314, 8776], [2192, 7918], [2311, 3668], [6644, 10158], [6422, 11277], [5653, 6565], [137, 1193], [8321, 8794], [3682, 10865], [7362, 9620], [700, 2996], [2904, 7565], [8783, 10545], [992, 2646], [9035, 11520], [2428, 4603], [1494, 7179], [11177, 11424], [1893, 10860], [8219, 11119], [4941, 6894], [8557, 11114], [2943, 9371], [9708, 10458], [3354, 3987], [10645, 10782], [8103, 9631], [954, 3643], [4500, 6370], [3073, 11292], [5124, 8449], [2502, 8093], [4307, 5975], [5931, 7983], [571, 9540], [5500, 11180], [1375, 8022], [6175, 7562], [633, 7385], [3584, 6519], [595, 11065], [1380, 2704], [2902, 5933], [5225, 5498], [1369, 4043], [3373, 5518], [6630, 8142], [2435, 7221], [2280, 10316], [1093, 1893], [594, 5178], [1285, 8479], [6755, 7090], [4392, 8126], [777, 9766], [443, 4228], [3048, 9141], [398, 10901], [188, 2955], [6566, 7568], [5568, 9220], [366, 11363], [5970, 6756], [1572, 11168], [4882, 11144], [175, 1969], [2260, 8536], [4660, 5847], [1544, 2704], [1244, 8828], [7994, 8883], [6249, 8800], [8140, 8708], [1638, 6503], [4217, 5277], [815, 5712], [9727, 10834], [2909, 9332], [2062, 11153], [3655, 10842], [386, 6703], [8099, 8303], [1435, 8022], [621, 5065], [2938, 11201], [2690, 7689], [4077, 9030], [6128, 6187], [1845, 9583], [3402, 9615], [629, 3428], [5131, 10693], [347, 9377], [2589, 3850], [1118, 2838], [3822, 5478], [360, 944], [1792, 8417], [6067, 8513], [1358, 9091], [7397, 10074], [6712, 9971], [5148, 8014], [7775, 9468], [2474, 5216], [3651, 5781], [2745, 3989], [6418, 8743], [1714, 3249], [3523, 9918], [3554, 5067], [5042, 7968], [5858, 10217], [965, 4070], [4304, 7450], [5914, 11280], [5236, 8184], [10110, 10891], [4580, 6567], [1118, 2033], [3258, 8307], [10234, 10368], [681, 4661], [3040, 6135], [9356, 9870], [4464, 7331], [4161, 7522], [3250, 11048], [1875, 6334], [7293, 8165], [543, 8110], [416, 421], [1318, 8106], [3868, 6896], [5586, 7785], [11145, 11349], [4428, 5018], [7822, 10357], [2862, 7152], [2423, 10488], [7624, 10372], [5208, 8364], [5067, 8159], [4170, 10617], [3105, 3877], [250, 5205], [2228, 6987], [2257, 5473], [5288, 10952], [4844, 9026], [2356, 9616], [953, 6264], [1980, 6104], [6357, 6507], [4252, 6081], [955, 6310], [5375, 5629], [754, 1890], [1279, 1711], [2029, 2963], [1375, 1419], [1311, 6130], [726, 3225], [1940, 7055], [1245, 2100], [5176, 8802], [2836, 7378], [167, 11340], [3982, 6378], [1401, 6023], [2089, 10561], [2493, 11176], [5695, 6923], [2677, 6567], [3477, 4930], [3167, 10366], [9428, 9476], [4261, 9176], [1766, 10847], [749, 5279], [1578, 10796], [6256, 8653], [4219, 8950], [2138, 9672], [897, 11566], [708, 2245], [481, 3020], [5434, 9218], [652, 4565], [5340, 9556], [4094, 10352], [1356, 5849], [8816, 10009], [5244, 6061], [4425, 9176], [1033, 10299], [5608, 7277], [4892, 11271], [8283, 10677], [7789, 7890], [2028, 8349], [8535, 10898], [4889, 10973], [5076, 10799], [6664, 6734], [5599, 6410], [4606, 8406], [7006, 9881], [654, 4237], [2548, 3662], [4196, 10228], [705, 792], [1704, 8410], [8343, 11078], [7317, 10682], [2825, 3381], [1357, 8302], [1820, 3108], [4414, 8586], [5118, 6487], [9111, 10657], [921, 8903], [7335, 9009], [3754, 9479], [4499, 7381], [956, 11341], [7238, 9076], [2823, 5937], [3817, 7549], [4120, 4352], [9748, 10719], [5460, 6601], [503, 9329], [852, 10237], [6883, 10605], [547, 3185], [7515, 11047], [3802, 9146], [2317, 4264], [3086, 9730], [841, 2908], [5918, 7452], [2491, 6137], [1969, 6964], [1160, 5105], [5852, 6832], [27, 3334], [1176, 8267], [2647, 3617], [563, 10484], [5632, 7997], [3180, 10496], [714, 3483], [24, 9452], [5077, 6432], [1237, 3258], [1023, 11408], [8029, 9174], [1088, 9551], [3452, 11369], [2263, 2873], [4847, 6909], [4496, 5928], [2543, 5896], [1075, 8565], [2262, 3402], [82, 4145], [4404, 6339], [2749, 3520], [2064, 9079], [4563, 10533], [1270, 1836], [6235, 11077], [7365, 9544], [2715, 6538], [2689, 5317], [7453, 9364], [2749, 10286], [374, 3391], [804, 2221], [3186, 9506], [306, 8360], [6699, 9841], [3134, 8592], [680, 10264], [1029, 8166], [2710, 6544], [3546, 6816], [2023, 9778], [1581, 2263], [5450, 11093], [3855, 8325], [1018, 3843], [2389, 7657], [1702, 10891], [1366, 10942], [984, 7642], [8200, 9190], [395, 1585], [6339, 11376], [2501, 4865], [7889, 10991], [6087, 8122], [7766, 9837], [6861, 7516], [450, 4675], [3562, 11082], [7998, 8682], [4114, 5179], [4771, 7398], [2242, 3823], [5897, 11381], [187, 2760], [2186, 10307], [508, 5030], [1652, 9619], [3297, 6088], [4637, 8337], [4635, 7510], [960, 1929], [9621, 9684], [3327, 8182], [495, 4044], [7616, 7984], [4849, 11411], [6781, 11320], [670, 2355], [1208, 9578], [239, 9716], [7338, 9925], [4602, 8501], [3444, 5734], [1701, 6478], [1823, 8161], [3637, 9512], [6584, 11156], [1137, 1417], [1971, 7278], [3932, 5673], [8508, 9669], [8513, 10013], [1930, 8408], [5481, 11479], [3184, 4467], [753, 1427], [1849, 3316], [1033, 3696], [2717, 5755], [9413, 11209], [5014, 6351], [7247, 9406], [965, 4501], [662, 4692], [2460, 4409], [619, 1612], [2862, 5355], [253, 10122], [618, 4393], [7751, 9848], [8121, 9381], [2386, 2393], [5937, 6218], [8125, 9500], [8987, 10993], [243, 6401], [4045, 6839], [4191, 5910], [5166, 9724], [1892, 5241], [1383, 7084], [1111, 4676], [1167, 5739], [4840, 9739], [5093, 7933], [9790, 10004], [611, 7736], [891, 10005], [6242, 6450], [3152, 4528], [975, 8952], [5997, 6619], [5710, 7343], [2664, 11355], [1508, 5251], [8626, 9674], [102, 2382], [4933, 7651], [5583, 10951], [1717, 8808], [567, 10066], [1688, 11453], [6700, 8432], [7436, 10752], [5170, 6059], [2840, 3071], [3270, 9071], [9084, 10902], [3046, 7111], [3421, 6234], [458, 5585], [6461, 11075], [4977, 9047], [1090, 6027], [2139, 11510], [2421, 10442], [8515, 11132], [979, 1500], [3938, 7665], [4032, 10710], [1456, 11453], [3006, 10314], [6516, 11132], [3221, 5772], [5116, 8051], [981, 11345], [3185, 9498], [6268, 10249], [2368, 2860], [715, 3497], [4887, 9130], [8588, 9516], [690, 5130], [2641, 5089], [9215, 9614], [302, 10683], [2435, 10848], [935, 4934], [7399, 10819], [1220, 7547], [1497, 10299], [931, 7444], [2612, 9986], [4819, 7656], [1918, 5633], [3886, 7451], [7093, 10712], [7857, 8664], [6274, 7411], [4257, 9084], [3481, 9617], [5031, 8478], [3807, 7343], [1019, 9893], [787, 3908], [2440, 10818], [982, 10765], [502, 11094], [789, 10370], [2341, 10058], [8750, 9820], [9002, 10795], [2588, 4273], [973, 9898], [6441, 11092], [1054, 2158], [2999, 8688], [3296, 6430], [3521, 4828], [2415, 8667], [3597, 9576], [6227, 9793], [5873, 9295], [1634, 1686], [3507, 6650], [4904, 8679], [10461, 10642], [7343, 10082], [177, 2235], [2945, 8078], [8989, 9405], [21, 7357], [2784, 6440], [2722, 5562], [2316, 4874], [3874, 8514], [5026, 10712], [8105, 8311], [3952, 6892], [935, 9390], [6356, 10738], [2829, 5809], [5979, 8536], [3952, 10275], [1751, 9387], [2933, 10296], [3334, 4978], [2926, 9125], [2095, 2781], [5013, 5939], [1680, 10675], [1613, 3037], [2459, 10413], [3020, 6508], [3206, 5732], [9897, 10842], [3911, 6487], [585, 1814], [4788, 6760], [2957, 7657], [2178, 2257], [4263, 11076], [648, 10464], [3571, 9802], [2048, 6348], [6647, 7130], [2483, 5522], [1387, 6639], [7431, 11376], [4317, 4896], [2543, 6327], [1323, 9098], [146, 8533], [5285, 10949], [3729, 7355], [825, 1651], [1924, 7221], [1201, 4382], [1691, 4017], [4841, 10908], [719, 4638], [8972, 10124], [7633, 11483], [6490, 9748], [2099, 2499], [2961, 3992], [4174, 4214], [2931, 5281], [42, 1363], [632, 8776], [2060, 6708], [9744, 9822], [403, 2308], [3829, 10568], [7509, 9323], [1332, 8406], [9021, 10366], [10203, 11275], [4286, 5559], [6660, 8065], [2799, 4014], [1458, 4546], [1924, 9449], [4782, 8392], [869, 10567], [1020, 8484], [7355, 11515], [7449, 11150], [732, 4819], [3106, 7325], [7196, 10704], [3290, 3470], [6304, 7090], [4554, 6663], [5863, 8845], [390, 5055], [1187, 5399], [4242, 11272], [3639, 6283], [1223, 4275], [1257, 10275], [254, 4413], [438, 6974], [61, 4772], [6967, 11002], [9028, 9601], [3460, 8203], [4396, 5673], [7837, 10858], [4160, 8614], [6943, 9827], [4228, 7028], [1831, 2818], [55, 7586], [531, 9767], [684, 10763], [5560, 7881], [2922, 7746], [4345, 4580], [1826, 5857], [45, 6117], [6650, 9955], [4411, 6331], [4688, 4919], [3535, 8912], [2127, 5970], [1005, 5112], [5544, 6597], [1044, 11456], [5179, 5910], [7109, 10654], [2806, 8510], [7549, 10926], [1844, 2649], [388, 9839], [1030, 6862], [2988, 7992], [311, 759], [1539, 2767], [4106, 4944], [2116, 10692], [5103, 5319], [9899, 11533], [3216, 7038], [7123, 10710], [3823, 11422], [1464, 9948], [10961, 11559], [1233, 7571], [3380, 10852], [2542, 9753], [7310, 7503], [1911, 3470], [4311, 4945], [197, 9116], [1262, 9440], [7075, 7636], [6426, 9442], [1254, 1628], [7490, 9541], [8223, 8934], [3865, 4077], [4907, 9113], [2216, 4456], [2219, 8137], [6320, 8642], [6760, 8914], [8403, 8720], [4583, 6922], [5445, 8415], [7282, 10716], [716, 4554], [1024, 2455], [1703, 11411], [5595, 8359], [5999, 6722], [6649, 7770], [6148, 10228], [1511, 8208], [4222, 7855], [8991, 11492], [6460, 10500], [5162, 5444], [545, 8994], [3401, 11274], [4648, 6162], [2029, 10241], [3495, 4493], [7380, 10850], [6865, 8684], [5145, 10351], [5735, 11348], [6506, 7061], [658, 3394], [3123, 5264], [3051, 10114], [8750, 11406], [4519, 10828], [8306, 10234], [1584, 3559], [6439, 9222], [4384, 8159], [8248, 9475], [3107, 3980], [6903, 10265], [2918, 4458], [4819, 5054], [2224, 6521], [3934, 9801], [7702, 9157], [3352, 4161], [7913, 9377], [1603, 7342], [3502, 11275], [3280, 5978], [721, 2938], [5175, 6005], [27, 5001], [1622, 2107], [715, 3123], [6934, 9177], [5750, 7441], [1555, 3514], [894, 3805], [6100, 8197], [62, 10822], [1775, 11367], [3702, 10932], [1209, 6260], [4963, 9690], [1616, 10556], [9845, 11514], [10569, 10791], [8196, 11139], [8798, 10241], [4772, 10095], [670, 9365], [2781, 6573], [1943, 9638], [3534, 9254], [1626, 7487], [3286, 11404], [602, 3754], [2195, 10613], [2026, 4196], [9653, 10940], [4431, 6769], [4369, 10055], [413, 10648], [4520, 9470], [3453, 9073], [6915, 9820], [4257, 7555], [6380, 7032], [10428, 10909], [5442, 8735], [2233, 8811], [2231, 5732], [4445, 10989], [6964, 9712], [2578, 2807], [1215, 6024], [4723, 6015], [6307, 8624], [2850, 10850], [4565, 8058], [2758, 11261], [3839, 5702], [2011, 10280], [4158, 7145], [1854, 6132], [9402, 10139], [262, 7045], [3370, 9546], [908, 4187], [4985, 7304], [6177, 8901], [6757, 11462], [4138, 8371], [4790, 6082], [4079, 4758], [244, 1928], [1651, 5399], [806, 9545], [4383, 5169], [436, 2098], [3357, 4773], [9177, 11310], [7437, 11571], [3535, 6765], [7738, 8301], [208, 2621], [882, 1811], [1131, 4767], [138, 10146], [11375, 11496], [107, 8581], [7227, 9667], [6232, 8584], [5012, 11355], [1221, 8043], [2362, 2535], [7881, 11588], [3583, 9788], [2280, 10804], [1368, 11476], [5886, 11330], [4986, 9353], [3321, 5092], [2452, 8844], [678, 3859], [3455, 8290], [3572, 8875], [1522, 8910], [751, 2617], [6535, 8743], [683, 7586], [743, 1975], [6716, 8000], [821, 6769], [1543, 2967], [1921, 8777], [10071, 11132], [4472, 10421], [2962, 3819], [5451, 10247], [6120, 10571], [4649, 9559], [4124, 6705], [3157, 3506], [2723, 7186], [3334, 9060], [2530, 6791], [8846, 10526], [6636, 8394], [1280, 4435], [3456, 6956], [8158, 9371], [1938, 6098], [8619, 10520], [7528, 8975], [7, 7545], [2834, 4169], [6727, 11141], [1402, 3085], [1, 6976], [868, 8813], [1794, 5595], [2805, 9066], [6599, 9643], [998, 1689], [4943, 8851], [853, 4748], [2749, 5000], [923, 6241], [2444, 10780], [7361, 10905], [2225, 11416], [1569, 9799], [2104, 6925], [1949, 10020], [5837, 9478], [1047, 4964], [10092, 11204], [2010, 11427], [202, 442], [1936, 8280], [6011, 8318], [1095, 11047], [1434, 10513], [369, 4527], [7719, 8519], [2058, 6930], [2736, 3610], [5304, 9365], [2902, 11227], [872, 8531], [65, 6745], [1997, 6654], [6004, 10530], [2733, 9728], [2865, 5683], [96, 5277], [750, 4569], [1185, 3743], [3442, 4940], [1976, 4272], [5506, 7220], [647, 6319], [3133, 7568], [9359, 9875], [887, 9189], [3437, 3815], [2540, 9683], [577, 8963], [2165, 4144], [3378, 6618], [4938, 11085], [4305, 7008], [2689, 9025], [449, 3301], [631, 4281], [944, 9696], [2656, 6633], [1823, 4380], [890, 6427], [4458, 10633], [1225, 6151], [561, 6925], [3682, 4750], [1906, 9518], [10968, 11201], [5584, 8200], [8440, 9726], [5386, 7461], [1864, 9292], [4928, 6583], [6163, 10536], [559, 9481], [6254, 9900], [5256, 11552], [2706, 6346], [3105, 10781], [4008, 5859], [3414, 11536], [6313, 10480], [2762, 7409], [129, 6864], [6743, 10064], [298, 1977], [2548, 2727], [278, 10370], [1305, 7958], [2764, 7455], [831, 8075], [4033, 10992], [7489, 8541], [6416, 7575], [3518, 5069], [8352, 9855], [4395, 6096], [3716, 9191], [1100, 9781], [8502, 10553], [8603, 10605], [7619, 9711], [5019, 5142], [2356, 2533], [2589, 11372], [929, 7455], [2735, 4781], [837, 7866], [1893, 10356], [6657, 10239], [1430, 2718], [8706, 10733], [8792, 9753], [2286, 10058], [7487, 9942], [2573, 2918], [6488, 11369], [4868, 10234], [3836, 6640], [6523, 7391], [983, 1625], [881, 3600], [5462, 7940], [3867, 11588], [4022, 8493], [4612, 9490], [9651, 11298], [7760, 9138], [933, 7173], [946, 11542], [1242, 7928], [1710, 3832], [1969, 5224], [1742, 1835], [6279, 6657], [5203, 6898], [411, 11383], [5139, 9357], [1966, 11342], [2238, 9586], [5314, 7668], [2265, 4993], [6057, 11159], [2261, 8257], [2603, 11404], [19, 952], [4139, 6395], [7893, 9825], [5904, 7884], [8607, 9168], [6585, 10497], [709, 4782], [10077, 10709], [1173, 9612], [9098, 9405], [6044, 7140], [5154, 10015], [3036, 7472], [252, 6034], [4029, 8859], [4733, 6760], [106, 10346], [2338, 5629], [102, 6440], [8500, 8897], [3395, 4557], [1835, 8391], [7089, 11319], [1922, 10265], [5669, 10996], [67, 188], [1529, 10536], [7274, 10318], [5168, 7038], [4416, 11375], [1051, 1112], [8803, 9056], [6086, 8840], [1757, 5475], [1884, 6748], [2856, 4629], [806, 10326], [1070, 2293], [1262, 8879], [1009, 4269], [6765, 8347], [5187, 7438], [3186, 3228], [4524, 8814], [2031, 4142], [6296, 6556], [4049, 5323], [5518, 10426], [7574, 7927], [1965, 6528], [3957, 6488], [836, 2247], [2623, 7437], [4025, 4148], [9426, 11290], [379, 4223], [3265, 7843], [6216, 6977], [3881, 10815], [4610, 10436], [5503, 11242], [969, 10855], [8211, 11372], [5246, 7644], [1952, 11554], [1585, 10040], [665, 6687], [2545, 5652], [7607, 9164], [2256, 5549], [4748, 6586], [2033, 3033], [6210, 9764], [6184, 8543], [10165, 11198], [9907, 10408], [2560, 5933], [2441, 8685], [447, 1482], [8638, 10254], [6269, 8092], [6416, 10771], [6364, 10581], [3336, 8783], [2059, 11020], [3389, 6165], [1967, 11431], [3418, 4651], [1439, 3398], [5102, 6710], [2154, 11257], [5253, 6879], [3119, 7967], [404, 5168], [3913, 8013], [3207, 7033], [7113, 7851], [24, 1914], [1992, 3732], [3475, 7787], [550, 7622], [7773, 10341], [25, 5522], [10658, 11107], [2973, 10020], [4907, 6592], [1574, 11328], [1975, 5256], [6585, 8082], [7116, 7718], [6692, 11362], [469, 2156], [8787, 8791], [788, 10769], [3207, 5878], [8411, 9443], [2403, 8527], [565, 6001], [312, 7807], [2920, 9985], [5315, 6952], [6347, 11300], [10521, 11344], [1928, 8419], [892, 7335], [6991, 8369], [4881, 7599], [2197, 6365], [1832, 4924], [10070, 10132], [4163, 5104], [4627, 9180], [10535, 11400], [4683, 10243], [7360, 10306], [3248, 4724], [45, 8752], [3985, 8400], [5265, 6434], [2493, 9517], [5819, 7774], [6008, 10679], [2408, 4683], [1271, 2793], [11174, 11508], [4358, 4417], [1345, 4405], [1749, 8430], [9304, 9444], [2019, 10011], [7526, 11133], [1733, 3763], [249, 5899], [3736, 11429], [1635, 3605], [8823, 9521], [2257, 9775], [139, 4980], [7986, 9778], [7671, 10706], [81, 10637], [5244, 7785], [9222, 10923], [3406, 5259], [7384, 8397], [5200, 10896], [4427, 10946], [1151, 9800], [3742, 4427], [10395, 10965], [539, 8455], [4892, 9962], [9532, 11499], [2992, 6558], [1650, 4236], [3511, 11095], [5073, 5809], [4482, 8751], [334, 3512], [5313, 8679], [4936, 8729], [5341, 9946], [84, 5966], [5099, 7380], [6580, 8356], [9852, 10514], [10029, 11150], [10805, 11371], [3690, 10629], [1715, 7640], [5514, 8561], [667, 3513], [6916, 7524], [1816, 8446], [7232, 9450], [2280, 6860], [3962, 5840], [4012, 5203], [3611, 4859], [1840, 9971], [5066, 10249], [1045, 8195], [6461, 9953], [828, 3996], [10075, 11094], [5894, 6873], [2291, 3612], [1447, 2698], [53, 3596], [10285, 11089], [3253, 5686], [6947, 9065], [2101, 6871], [3909, 4270], [196, 3123], [2496, 7400], [7067, 11052], [7951, 8332], [3770, 11281], [2896, 8273], [3892, 5794], [9869, 10063], [1811, 4264], [312, 7620], [3636, 11466], [7872, 8978], [8930, 11541], [2798, 3951], [2203, 6774], [5537, 5646], [4537, 9881], [2797, 10896], [8022, 8922], [6724, 10282], [6844, 8886], [2441, 6538], [6458, 8850], [2101, 2683], [3103, 8320], [1202, 1308], [2592, 9336], [5389, 8003], [5585, 5663], [977, 8545], [3933, 8023], [2054, 5496], [132, 4777], [3050, 7935], [125, 3606], [2535, 5769], [5487, 8511], [9621, 11408], [5853, 9800], [2145, 2581], [4049, 6104], [248, 2858], [4128, 4707], [6717, 9087], [468, 912], [1734, 10594], [3671, 6683], [6410, 7624], [3480, 7115], [2179, 11210], [5436, 7418], [4947, 11391], [5317, 10170], [238, 635], [3257, 11015], [9106, 9622], [5240, 6725], [4904, 10940], [2099, 5215], [5550, 11088], [7756, 10068], [1037, 9326], [1539, 10476], [813, 9618], [4746, 7321], [2833, 5210], [11086, 11450], [1258, 7982], [876, 7688], [1992, 10229], [4120, 7044], [907, 10384], [7379, 9714], [6011, 10335], [3416, 7638], [734, 815], [2829, 8070], [4603, 6639], [828, 11030], [3145, 6586], [1134, 1688], [2793, 5380], [2147, 10867], [24, 5728], [5831, 7142], [2567, 3347], [730, 10091], [3412, 4836], [3959, 4251], [5886, 10232], [378, 9639], [5832, 6963], [2652, 8531], [8374, 10773], [2361, 5349], [934, 10271], [4729, 8040], [5224, 8019], [957, 8942], [1127, 7633], [2517, 9245], [8556, 9474], [6632, 7928], [4287, 10324], [1088, 11088], [6251, 8236], [2266, 2429], [3217, 6623], [4712, 5777], [2075, 8496], [5313, 11070], [3816, 11089], [1612, 7274], [7923, 9911], [1699, 9148], [6140, 7092], [7767, 8617], [5021, 10669], [8104, 11420], [9188, 9542], [5337, 8431], [8907, 10054], [2152, 7403], [409, 3983], [1684, 5083], [1505, 2866], [7067, 10865], [2829, 6110], [1034, 7418], [6107, 11466], [4823, 6116], [4876, 9914], [146, 5451], [1403, 5191], [240, 8496], [3663, 5905], [1263, 2178], [8738, 11534], [3946, 6193], [5467, 6568], [7418, 10691], [86, 11412], [8851, 8967], [4527, 5192], [3002, 7327], [2281, 5315], [1596, 5212], [8282, 9978], [7313, 10116], [10776, 11088], [10096, 11329], [633, 2132], [879, 5571], [3206, 8261], [2860, 6870], [4957, 11542], [2741, 9622], [1992, 7814], [4098, 8842], [1116, 1727], [2915, 4298], [3006, 3662], [7061, 8710], [1178, 8240], [1677, 9873], [6873, 9413], [2262, 6362], [1149, 6721], [2701, 6409], [2381, 4741], [292, 7100], [3928, 9720], [6899, 10984], [1042, 9483], [5467, 9146], [422, 3359], [2466, 9925], [3624, 6276], [1602, 7605], [6828, 9239], [7757, 9702], [10017, 10416], [3176, 8745], [3945, 7795], [457, 8456], [4732, 5142], [4727, 8181], [5563, 8453], [8015, 10118], [9822, 10298], [3026, 7646], [4466, 7093], [1293, 9078], [797, 11126], [1320, 6737], [1222, 10366], [1351, 6050], [2722, 9864], [7453, 11519], [2835, 7297], [32, 1645], [2833, 4218], [6666, 10385], [1413, 11065], [6473, 6580], [2865, 2975], [4444, 10902], [4019, 6000], [1059, 9032], [6656, 8916], [4615, 6031], [2990, 4552], [1395, 8200], [5435, 5800], [4008, 10722], [3538, 6077], [7312, 10883], [4442, 10425], [4354, 8326], [1582, 11409], [1295, 1553], [7076, 7408], [3194, 4732], [2783, 3700], [6554, 8989], [1038, 3617], [5864, 8542], [4217, 4830], [2381, 9547], [2417, 5040], [7704, 11114], [1499, 8149], [3531, 5256], [4212, 7869], [4859, 5236], [8464, 8543], [1222, 6528], [5327, 10939], [2839, 7365], [4303, 11370], [4353, 10733], [5445, 8716], [3117, 6555], [4951, 5175], [5198, 5806], [1336, 10198], [183, 7775], [7459, 9374], [6771, 9754], [4661, 4820], [4778, 5405], [1693, 7991], [5407, 6330], [2312, 3310], [3843, 8537], [2124, 4013], [4462, 4610], [1144, 10378], [5215, 9543], [4809, 8101], [3180, 9886], [6051, 6782], [411, 3064], [2995, 7100], [7848, 9684], [3361, 4979], [3298, 10292], [4014, 4046], [906, 6426], [3862, 6658], [868, 10106], [247, 7544], [9529, 11445], [8027, 11120], [3237, 6606], [3608, 8239], [1204, 7022], [6178, 7681], [3037, 6171], [5189, 10550], [3069, 11344], [6216, 7384], [801, 2818], [3184, 8850], [4808, 10858], [5682, 7450], [1069, 9988], [2878, 8743], [7766, 10382], [787, 8023], [6425, 8662], [3930, 9579], [2368, 2787], [5050, 7358], [67, 4701], [7916, 10326], [5168, 11551], [6047, 8487], [2176, 6000], [5424, 9262], [6043, 10997], [866, 10009], [2082, 9748], [2990, 11586], [719, 10713], [844, 11159], [3886, 3995], [6308, 9201], [2509, 8280], [2010, 5149], [1982, 9517], [887, 10482], [5837, 6583], [4195, 8133], [919, 9239], [108, 10717], [4867, 7250], [2749, 8871], [765, 6520], [4927, 7301], [1950, 6946], [100, 9321], [1043, 1546], [3845, 6973], [2785, 7747], [5959, 8616], [2394, 7367], [4541, 10648], [31, 1987], [3611, 10714], [3797, 6932], [1777, 4924], [6945, 8832], [8908, 10306], [1984, 8408], [4322, 9005], [3078, 6464], [428, 8978], [206, 10097], [5806, 7246], [4469, 5268], [714, 8029], [5444, 6076], [3911, 10602], [2909, 8348], [4538, 10700], [7802, 8079], [764, 11529], [2567, 8584], [5559, 7719], [1688, 5232], [1872, 7039], [3466, 6172], [4899, 10864], [5711, 10742], [1038, 6813], [5337, 8057], [2110, 6803], [2309, 10396], [1557, 1901], [6157, 10455], [8829, 10928], [5102, 5157], [688, 9036], [1454, 8569], [10302, 11232], [777, 8327], [1742, 10699], [550, 2686], [10880, 11468], [1293, 6931], [6155, 7349], [2693, 2815], [4470, 11481], [2606, 9986], [4158, 9674], [3377, 3447], [956, 1095], [7645, 9542], [3629, 10084], [6575, 8874], [3309, 8416], [6295, 9988], [3714, 9633], [5923, 8130], [4742, 10075], [2966, 8427], [3828, 9920], [1901, 2441], [11176, 11587], [3366, 11552], [2396, 2420], [4073, 7472], [31, 377], [1154, 10505], [6469, 7293], [4263, 6815], [247, 7357], [4688, 5301], [4421, 8155], [653, 6547], [4844, 5814], [337, 7250], [4726, 11420], [9573, 10806], [6472, 7941], [297, 3687], [2762, 10475], [981, 4319], [327, 9945], [4623, 7508], [6333, 8536], [7700, 8444], [3849, 11497], [2041, 7682], [5240, 9547], [4278, 10856], [1310, 9863], [1845, 6989], [3216, 4387], [1939, 10788], [1060, 2518], [411, 8488], [6725, 11396], [648, 8431], [7535, 10447], [5689, 10312], [2271, 6050], [182, 6157], [10209, 10212], [7456, 11093], [806, 1820], [2230, 8678], [6774, 10507], [1022, 6548], [950, 4982], [895, 5275], [1072, 6665], [213, 4689], [452, 11121], [10911, 11423], [773, 9227], [1081, 7128], [3502, 3818], [3534, 5985], [5254, 9953], [1082, 4320], [1228, 9807], [15, 7333], [4115, 4984], [326, 5505], [2805, 4829], [8817, 11536], [2807, 9039], [694, 11004], [682, 9489], [7882, 10504], [1301, 4808], [2173, 11153], [9423, 11531], [239, 2503], [316, 4413], [2647, 11009], [2492, 6934], [313, 10531], [583, 5696], [10240, 10972], [3200, 5708], [5782, 8917], [2105, 3263], [1167, 9130], [5783, 6109], [666, 4418], [4246, 6729], [6460, 11232], [1066, 5291], [1635, 7663], [1578, 7129], [3441, 11405], [6674, 7219], [793, 3412], [5547, 6017], [1844, 4804], [5332, 7526], [1034, 3474], [9781, 10249], [2212, 6893], [5722, 7711], [257, 9444], [6014, 7331], [3012, 5256], [659, 6980], [2361, 3983], [8090, 10402], [1061, 4516], [2952, 3670], [7623, 10936], [2673, 5009], [7872, 8230], [62, 5943], [6378, 9678], [3291, 6519], [5228, 6772], [7962, 8123], [2102, 2187], [1107, 3356], [3476, 10436], [2670, 11504], [2004, 11451], [3874, 10482], [4846, 7609], [4434, 8604], [907, 3675], [5526, 10751], [1221, 11190], [2191, 8244], [6329, 8631], [7043, 7974], [1439, 6919], [374, 6595], [5611, 6136], [5296, 11228], [6727, 8677], [4851, 9831], [3302, 7408], [6127, 8123], [4480, 10827], [5719, 6608], [4721, 7506], [1923, 2952], [2394, 8953], [1272, 8095], [589, 4655], [431, 1063], [4451, 9308], [2693, 8239], [984, 7813], [5211, 7491], [5206, 7147], [5677, 6732], [567, 2048], [5668, 8898], [5585, 7143], [532, 3747], [906, 11313], [2367, 5221], [158, 1062], [4464, 9893], [4832, 7845], [3065, 4031], [3841, 4252], [3056, 6197], [5785, 6450], [346, 3742], [6137, 11039], [6846, 9284], [6970, 11013], [468, 2392], [1669, 7515], [1278, 7859], [3205, 6670], [5450, 7076], [9641, 10507], [1360, 9389], [8576, 10937], [4288, 6819], [4945, 5628], [5597, 7503], [5724, 9530], [4912, 7400], [1486, 11191], [335, 9595], [5932, 9479], [1517, 4088], [2886, 7075], [5028, 10766], [2967, 6505], [5341, 9011], [8851, 9829], [4594, 8030], [8114, 9536], [9915, 9928], [6924, 7231], [1095, 1362], [2815, 5330], [1588, 11094], [6640, 10855], [7070, 10439], [7570, 8510], [3888, 8174], [9017, 10656], [1919, 6885], [4730, 10146], [3259, 9134], [1206, 11150], [7441, 9793], [5903, 6805], [2782, 3318], [180, 4338], [6594, 10860], [3540, 8595], [708, 4457], [2565, 4781], [4878, 9263], [1447, 11212], [8862, 9937], [3372, 3534], [6706, 8068], [1312, 2127], [2497, 2553], [6619, 9577], [769, 5083], [788, 2881], [7692, 9038], [5115, 9556], [7575, 11082], [7945, 9861], [65, 2671], [1257, 5022], [347, 1603], [818, 1188], [1771, 9215], [1843, 8529], [2840, 9658], [5347, 11030], [1395, 3451], [187, 1321], [2797, 6578], [1047, 6151], [2454, 9622], [4417, 11096], [1117, 5392], [4389, 9048], [363, 2486], [2259, 2738], [1642, 10875], [615, 7625], [7547, 8660], [455, 8841], [359, 2717], [671, 737], [1135, 5567], [252, 11141], [9474, 10827], [1993, 10701], [3820, 8904], [1091, 6399], [2356, 2647], [8829, 9749], [5315, 11441], [5375, 11492], [497, 11295], [339, 7703], [2419, 9762], [931, 1199], [10414, 11048], [3031, 4664], [1482, 2241], [1228, 10238], [2780, 10680], [2631, 10557], [2215, 8427], [3281, 5189], [3393, 5430], [2554, 11276], [3552, 3962], [5233, 11385], [177, 2056], [7905, 11104], [1957, 10239], [364, 8298], [837, 3792], [9527, 10033], [1951, 10424], [1051, 2031], [3077, 7237], [2237, 9475], [6375, 10616], [2206, 7910], [3505, 10158], [5060, 9363], [17, 6655], [1419, 9782], [3912, 8038], [794, 3314], [2294, 6976], [4164, 8259], [1785, 5409], [6958, 7409], [2947, 8295], [705, 8160], [6729, 7357], [6176, 8871], [3872, 5606], [4023, 5021], [2622, 5502], [874, 5902], [5700, 6663], [7720, 7917], [9055, 9822], [2179, 4932], [2096, 9593], [2743, 6960], [5845, 6263], [3212, 5718], [4418, 11185], [210, 3643], [9655, 10726], [3024, 6421], [3207, 8757], [769, 4546], [4511, 9097], [1925, 4234], [9479, 11439], [458, 9757], [2982, 3162], [6748, 8107], [4408, 10847], [7792, 9082], [9507, 10454], [1570, 9146], [2494, 2849], [1377, 2335], [3930, 7058], [3436, 10687], [9907, 11327], [4499, 7178], [2402, 3260], [1624, 2966], [2506, 9999], [3683, 10564], [3547, 5041], [8245, 9966], [836, 8777], [4884, 6238], [1558, 1565], [2203, 8685], [1432, 9562], [594, 6211], [5535, 10894], [1620, 5826], [116, 8838], [840, 8869], [5353, 8379], [4109, 6592], [298, 8320], [2892, 6628], [385, 10948], [10393, 10789], [4815, 10955], [7093, 11501], [82, 559], [1766, 9034], [3065, 10528], [4092, 8116], [1905, 4682], [5065, 8097], [2322, 9666], [1011, 6657], [5770, 9606], [450, 1894], [381, 10425], [6301, 9242], [2369, 6479], [5794, 11131], [8471, 11194], [8631, 9197], [6948, 9992], [355, 2007], [5570, 5761], [8257, 10676], [1461, 3860], [9812, 10635], [4392, 11387], [600, 5221], [5877, 9853], [3494, 3821], [1708, 3737], [4767, 4848], [6971, 8663], [1057, 8880], [5162, 6875], [5193, 6188], [680, 6678], [3608, 4108], [7436, 9931], [3262, 3471], [3040, 4590], [3847, 4124], [1395, 2459], [3053, 9713], [1921, 8167], [3483, 8543], [1833, 6068], [3815, 5340], [3078, 4293], [482, 2906], [3699, 7609], [3876, 8245], [3814, 5115], [202, 10436], [8421, 10676], [2659, 9035], [2540, 11033], [2471, 8984], [451, 560], [1638, 6731], [9322, 9845], [6050, 11070], [3989, 6809], [6265, 6528], [4155, 8010], [165, 1859], [10125, 11108], [779, 9666], [944, 1597], [4247, 4566], [1002, 4985], [1621, 4468], [2426, 5427], [4048, 10772], [3642, 5920], [523, 2506], [2241, 9811], [7189, 9249], [3708, 6917], [8035, 10209], [1330, 6921], [5226, 11158], [7246, 9002], [3794, 10074], [2739, 10438], [1232, 9769], [265, 4318], [2627, 5309], [1916, 10401], [7487, 9064], [3313, 6768], [2850, 4792], [319, 10970], [4302, 7282], [6644, 11004], [10534, 11289], [2781, 6126], [1946, 9462], [3615, 9735], [1471, 3719], [6133, 8987], [3793, 5311], [8531, 10389], [7976, 8824], [3048, 10792], [3322, 3447], [2458, 7543], [4629, 8966], [6253, 10974], [2855, 10397], [1153, 7732], [436, 2456], [7031, 10487], [2642, 6317], [7862, 10415], [1422, 2672], [5090, 7082], [1609, 8914], [4971, 9834], [6989, 11015], [6120, 8351], [1512, 11233], [1072, 5299], [208, 2979], [2044, 2426], [4212, 6584], [3835, 4382], [8361, 11267], [7272, 10549], [1200, 1512], [1219, 1562], [6174, 8587], [8815, 8993], [348, 2235], [538, 1578], [5200, 11010], [5360, 9013], [8942, 11397], [7049, 11416], [6165, 7720], [757, 10741], [1003, 7010], [6127, 11400], [10648, 11525], [2058, 5865], [1497, 7518], [1533, 3011], [1241, 3391], [2928, 11383], [2826, 4690], [5873, 10702], [861, 6553], [121, 2579], [608, 2697], [1211, 10315], [10641, 10704], [3074, 8175], [1422, 8283], [2330, 10875], [7187, 10195], [1829, 6163], [7587, 11068], [3650, 10213], [8345, 9205], [4016, 5840], [2281, 10609], [6572, 7828], [7136, 9856], [8849, 10401], [95, 6619], [3202, 6266], [9086, 9590], [6880, 9112], [6164, 8942], [192, 3519], [5696, 7376], [1271, 1297], [1460, 3448], [4668, 10317], [5382, 8906], [5129, 8460], [3263, 11056], [308, 8016], [5377, 5529], [4033, 6544], [2818, 9659], [268, 8617], [9232, 9765], [7554, 10904], [8330, 11125], [806, 5260], [2793, 4876], [6965, 11263], [6482, 7911], [8849, 9246], [1760, 7473], [228, 8437], [10126, 10392], [603, 1898], [783, 6969], [6230, 9538], [532, 3186], [289, 3428], [9906, 11557], [2425, 8802], [8400, 11490], [5542, 9137], [2429, 8921], [1937, 2797], [6470, 10129], [3385, 7797], [4505, 7828], [6535, 10524], [437, 5928], [709, 4172], [1433, 4203], [3229, 4251], [3657, 9424], [8265, 11423], [4812, 9641], [4631, 6597], [2723, 5584], [4126, 11565], [3875, 7782], [1998, 6082], [9566, 11465], [6673, 9303], [1568, 3465], [6103, 7460], [8680, 10325], [2835, 6175], [1739, 10702], [6386, 6994], [4111, 4467], [1251, 4697], [1492, 7792], [5110, 5669], [11072, 11158], [62, 2617], [2512, 4209], [5042, 11392], [1233, 9783], [5063, 5853], [4794, 7126], [584, 5173], [3598, 8039], [10354, 11292], [3077, 6058], [2726, 11493], [7953, 10346], [7395, 11516], [10257, 10578], [1350, 4302], [2628, 5673], [2717, 10626], [1155, 3834], [2881, 8748], [9027, 9628], [3239, 6012], [2585, 7474], [4796, 6798], [3619, 6233], [7977, 8838], [2590, 5566], [1034, 9142], [7591, 11054], [2520, 10462], [1431, 5580], [1049, 3034], [1741, 9943], [3800, 4709], [3234, 6018], [2389, 10918], [369, 6658], [1363, 7516], [776, 4538], [2078, 9713], [175, 9044], [7088, 10783], [5741, 7363], [550, 1751], [5493, 7261], [918, 6873], [4849, 9411], [4806, 6331], [6710, 10608], [232, 6545], [9689, 11009], [7860, 9727], [6359, 6594], [2178, 3127], [3055, 9816], [1002, 5416], [8834, 9182], [2084, 9127], [239, 3178], [1374, 4241], [8218, 10347], [4300, 11424], [5754, 10577], [5723, 9012], [7249, 10485], [2894, 5145], [10454, 10667], [4079, 9735], [3329, 8483], [805, 5252], [8210, 8951], [8337, 8726], [4137, 7461], [4531, 6634], [5749, 7200], [4505, 5413], [4541, 5070], [2452, 5177], [8458, 10184], [705, 11437], [4247, 10258], [9161, 10866], [9314, 11108], [10809, 11016], [6695, 8771], [17, 3866], [3094, 4802], [8316, 9727], [4776, 10198], [1753, 9498], [7358, 7745], [1556, 5951], [3180, 7959], [3825, 10915], [1220, 6002], [3668, 10931], [1519, 6069], [2644, 6444], [2486, 3606], [5820, 8140], [3515, 3519], [5259, 9793], [9147, 10005], [1919, 6942], [3131, 9945], [3384, 8139], [4760, 5881], [6059, 7375], [3848, 6553], [5150, 5312], [390, 9308], [610, 946], [7301, 9466], [482, 5110], [6237, 6334], [6006, 10373], [6883, 10646], [751, 3056], [2529, 8914], [5607, 9321], [5700, 6102], [443, 2122], [1300, 7435], [1189, 10048], [802, 2994], [6471, 8608], [3950, 9058], [8580, 9153], [1362, 7532], [7239, 7433], [4382, 5682], [3036, 5870], [85, 4484], [2041, 11203], [6420, 8269], [7710, 10401], [5924, 10317], [1299, 3396], [2171, 10495], [917, 7266], [547, 2071], [2109, 2447], [6333, 9024], [3903, 8838], [5914, 6596], [2025, 2749], [323, 3494], [6009, 9085], [4083, 10876], [6853, 6966], [2084, 6712], [749, 2555], [310, 5891], [1547, 6507], [499, 2380], [4146, 11575], [4889, 9404], [5154, 10641], [8199, 9410], [6216, 9913], [3697, 11190], [459, 2200], [8831, 9098], [1818, 8663], [758, 8683], [1878, 8714], [2007, 4398], [1067, 9438], [4308, 5867], [5801, 10610], [7570, 8835], [854, 6112], [749, 1400], [2834, 3803], [2586, 10871], [8496, 9000], [2630, 10389], [3862, 4999], [2523, 3352], [1370, 3181], [7779, 9359], [7321, 8481], [1748, 6739], [370, 1754], [4363, 5924], [9893, 11002], [8411, 9801], [1582, 4757], [4665, 6262], [7749, 8369], [5507, 7480], [7095, 9077], [457, 1349], [1833, 5507], [3163, 6314], [3008, 9409], [117, 10326], [2507, 11113], [2237, 3116], [1141, 8397], [294, 3048], [5715, 11566], [10911, 11106], [8302, 8703], [1721, 3761], [1351, 1976], [3278, 3793], [218, 7375], [5142, 8671], [6396, 11146], [7509, 10006], [30, 1662], [2394, 3480], [2586, 10066], [320, 4619], [4360, 4471], [2770, 5457], [7320, 10484], [3521, 3901], [2953, 4383], [4787, 7167], [3859, 9558], [1674, 9957], [306, 9824], [3231, 3573], [3915, 10621], [5164, 6336], [3290, 10569], [573, 4691], [855, 3623], [6462, 8359], [2565, 11067], [5376, 7912], [2984, 10462], [8232, 10192], [1477, 9793], [6678, 8923], [3435, 3753], [1707, 6283], [4744, 6689], [981, 5425], [795, 6955], [855, 7006], [2885, 3286], [3315, 9286], [4206, 7013], [2530, 4815], [1377, 2392], [1781, 7171], [4902, 4996], [4236, 8353], [5206, 5407], [6051, 6896], [9055, 9074], [5445, 11058], [1007, 10379], [592, 5441], [5538, 10468], [2701, 5986], [4724, 5259], [1391, 5831], [2795, 3369], [5933, 10997], [6898, 6953], [3508, 11155], [4351, 6182], [1302, 10677], [1421, 5673], [3948, 9175], [2852, 3122], [1763, 2404], [142, 667], [4221, 10273], [2915, 7608], [1053, 6940], [6810, 8237], [146, 7956], [1608, 4718], [1472, 11273], [942, 8829], [8595, 10378], [2311, 3148], [8728, 9187], [2708, 6002], [4050, 4914], [7826, 10547], [1821, 9148], [2900, 6172], [3028, 11053], [2651, 8851], [2114, 8646], [4612, 7246], [2246, 4601], [6595, 9372], [2548, 4939], [1959, 4544], [4696, 9576], [6375, 11291], [6521, 10362], [9537, 10645], [4403, 5567], [2474, 2923], [765, 9667], [1078, 3748], [1133, 7619], [696, 7618], [7516, 8412], [2375, 9333], [1630, 2009], [4090, 4289], [1416, 3743], [723, 2244], [4797, 11506], [535, 9363], [6447, 8319], [1868, 8189], [3674, 4761], [2430, 2974], [8679, 11149], [6206, 8607], [9804, 11524], [2617, 9216], [3918, 5121], [5753, 7349], [4519, 6250], [6871, 10717], [5071, 10927], [10324, 11001], [991, 7512], [4167, 5044], [208, 6874], [1853, 2589], [8673, 10553], [9485, 10431], [2021, 4617], [1615, 3929], [2326, 5253], [6628, 10178], [112, 9795], [308, 7455], [1884, 7537], [1597, 1845], [2818, 9098], [168, 10858], [2876, 6070], [1795, 5967], [2416, 8529], [5339, 5615], [764, 5227], [10194, 11278], [1911, 7081], [2274, 4689], [2217, 4155], [4796, 7847], [8261, 9646], [974, 2970], [103, 5895], [7036, 11292], [682, 8985], [6017, 11313], [2834, 6194], [1495, 7553], [241, 5078], [2426, 4679], [1278, 9770], [3477, 6825], [8929, 10492], [2334, 5090], [3793, 8751], [6553, 11323], [2821, 5208], [2147, 8647], [1354, 11485], [4263, 11117], [2257, 6563], [8480, 9353], [639, 8507], [4216, 10547], [3564, 6420], [3971, 10716], [3694, 5712], [8945, 11375], [2324, 11168], [6894, 7802], [390, 8934], [10446, 11475], [3808, 5999], [3369, 8581], [383, 11146], [1622, 6173], [1250, 10731], [4049, 5307], [6449, 7536], [2115, 3073], [411, 2991], [9461, 9575], [8026, 11226], [3052, 4151], [1403, 10192], [3793, 4563], [6903, 10143], [1143, 2913], [1154, 10619], [3764, 9460], [7520, 9553], [312, 6368], [551, 2220], [6314, 7469], [8836, 10627], [4502, 6164], [7108, 7515], [5026, 8793], [3632, 9691], [1946, 7559], [3379, 5835], [1603, 10603], [8666, 8903], [6262, 9938], [393, 1230], [1785, 3669], [9069, 9293], [7634, 10190], [5449, 10589], [8480, 8898], [7477, 10206], [9, 1240], [6636, 8809], [9430, 9457], [6914, 7999], [775, 9818], [95, 3643], [6432, 8255], [2426, 3069], [1674, 1744], [242, 6322], [6131, 9990], [3638, 10236], [3075, 11062], [4874, 7217], [4499, 5088], [1290, 8170], [7857, 8518], [857, 6036], [4801, 8809], [2491, 7227], [4545, 8065], [3041, 4661], [4582, 10576], [7319, 11444], [3119, 10179], [248, 451], [564, 4629], [5479, 8091], [5560, 6767], [2464, 11416], [3977, 5514], [4326, 5668], [6337, 9842], [5473, 8276], [6244, 7399], [4664, 5663], [1295, 10742], [173, 7632], [5406, 9683], [8051, 10962], [4433, 6669], [1604, 8464], [2628, 6535], [2416, 8342], [425, 11236], [5370, 6993], [6046, 10016], [7202, 9704], [7169, 7312], [4855, 4857], [7946, 10387], [3247, 5237], [2187, 5257], [3145, 7212], [5578, 8046], [7653, 9761], [6058, 6993], [268, 6714], [873, 5333], [6256, 10361], [3391, 11001], [3006, 4020], [2667, 4554], [4380, 11515], [6522, 8790], [4440, 10068], [1546, 5052], [6391, 9273], [7024, 9940], [78, 9973], [9130, 10968], [2856, 10842], [9286, 11481], [2034, 3860], [2851, 4082], [2885, 2912], [3874, 10596], [5701, 5793], [1633, 6145], [2844, 6294], [1727, 9944], [3898, 5705], [4328, 10951], [9123, 10147], [940, 5400], [4391, 9021], [4262, 6167], [6008, 9858], [3174, 11309], [404, 2387], [3239, 9452], [5916, 10269], [5167, 5455], [7725, 10522], [2696, 5268], [10605, 10944], [2608, 3169], [1608, 10410], [4442, 8205], [522, 9209], [9240, 11082], [3946, 4591], [6160, 9848], [5188, 9715], [1267, 7865], [6191, 9161], [272, 9034], [5444, 7426], [10659, 11180], [1460, 10889], [2479, 4452], [8456, 10219], [5804, 11152], [4310, 9190], [4186, 10844], [2500, 7958], [6088, 7878], [2100, 4806], [3555, 10977], [3185, 5782], [4329, 10371], [1122, 7110], [4091, 10957], [44, 10688], [2814, 6778], [7287, 9895], [2125, 9185], [2741, 11403], [5504, 7076], [6166, 9639], [8717, 11283], [462, 4970], [1840, 3539], [7407, 11128], [8085, 10060], [4694, 4992], [2639, 3929], [8394, 11569], [1116, 6891], [6733, 8181], [389, 2398], [5554, 6789], [1822, 4838], [4160, 5435], [2591, 3888], [10278, 10683], [2566, 5521], [1098, 11196], [850, 11094], [6020, 9413], [2372, 7907], [11501, 11566], [1690, 5069], [1248, 4724], [9157, 10400], [4802, 11476], [5862, 11456], [1595, 8215], [5015, 6107], [4958, 9737], [3583, 11439], [899, 7953], [4132, 6019], [5570, 11055], [904, 1881], [2146, 9257], [4603, 4850], [926, 5612], [2, 3241], [3890, 9115], [3950, 9920], [7281, 8521], [1992, 2374], [5820, 8197], [5531, 8094], [3293, 8078], [2985, 3761], [8704, 9492], [4041, 6251], [5493, 8741], [3657, 9294], [174, 10299], [7371, 7633], [4783, 10271], [5528, 11179], [2752, 10356], [49, 9072], [2571, 11476], [8447, 10775], [6246, 10641], [6084, 6149], [917, 5095], [1507, 1928], [2749, 7806], [3590, 8422], [4297, 5840], [7380, 11509], [3524, 3638], [6393, 10287], [6202, 6555], [6940, 10456], [2838, 3310], [2153, 9623], [3085, 3187], [435, 5701], [775, 8021], [775, 1605], [1143, 6727], [370, 10187], [124, 6748], [2473, 7534], [6619, 8536], [6092, 9019], [7587, 8173], [1728, 6599], [10198, 10622], [7046, 11232], [3254, 5066], [7698, 8943], [5673, 6591], [664, 2713], [4335, 10804], [1355, 4516], [1002, 9124], [1439, 9879], [3813, 5969], [4896, 10282], [8722, 8862], [5632, 6940], [1526, 8720], [2985, 8217], [1402, 6964], [4803, 7058], [6095, 11545], [3959, 5390], [2734, 7817], [9980, 11459], [613, 9140], [1399, 3633], [1946, 10218], [1803, 7658], [1020, 11184], [2011, 8361], [2568, 9218], [2723, 6877], [2760, 9388], [10509, 11399], [4926, 11221], [938, 979], [3969, 6458], [407, 11142], [4641, 11237], [69, 8114], [8348, 9159], [4402, 8188], [3117, 4148], [2222, 2515], [1494, 5748], [2640, 4748], [3240, 8685], [8534, 8760], [377, 9398], [5351, 10057], [1239, 4475], [6072, 6407], [2276, 2751], [3413, 10333], [9237, 9442], [519, 5317], [9116, 11367], [10668, 11055], [1797, 6688], [3815, 7869], [5372, 7901], [6098, 8759], [3516, 10431], [648, 11554], [271, 10850], [1634, 8387], [7805, 10987], [3164, 9979], [454, 7524], [2537, 6848], [3629, 11247], [5012, 9436], [4154, 11068], [3175, 9764], [5389, 8605], [1407, 8731], [1426, 6529], [440, 3280], [5608, 7188], [1243, 7576], [6693, 8164], [862, 7884], [2739, 3168], [4886, 7203], [3518, 7070], [6064, 10622], [4913, 9026], [9553, 10563], [2115, 4472], [5943, 6131], [5382, 7784], [2083, 11350], [894, 9270], [2699, 7152], [271, 10045], [5028, 6505], [1827, 10606], [6987, 10489], [2376, 7438], [6059, 10628], [5839, 6158], [3433, 6366], [1346, 7300], [2127, 7865], [1435, 6591], [1660, 2737], [6582, 9622], [10990, 11590], [904, 10338], [3046, 6859], [2550, 9661], [7966, 10665], [3613, 6152], [8752, 11574], [526, 10163], [4084, 7989], [3150, 4930], [2805, 7147], [5005, 7810], [2352, 5889], [7248, 11553], [6555, 7425], [2910, 3938], [239, 4821], [612, 9533], [3198, 3816], [9385, 11113], [6238, 8657], [2356, 10145], [7120, 9274], [8161, 10732], [5091, 9432], [4649, 6835], [768, 7013], [4824, 5146], [510, 2059], [3056, 3359], [292, 4051], [440, 4703], [10209, 10220], [121, 1725], [3985, 7205], [7596, 11081], [5480, 7113], [1959, 7634], [119, 2029], [1676, 2815], [678, 3713], [3751, 4530], [1770, 8112], [2740, 11582], [329, 9194], [769, 9466], [5213, 11091], [3680, 9201], [9880, 10287], [8166, 10271], [1194, 4919], [2123, 5382], [2338, 3092], [7439, 9942], [598, 1101], [5389, 9223], [3594, 9777], [6448, 11230], [6694, 8253], [9052, 10256], [4475, 6035], [4008, 7323], [1642, 8842], [5685, 5959], [807, 5762], [521, 5176], [2446, 10330], [2568, 4843], [5374, 7760], [3256, 9381], [7760, 11057], [6209, 7807], [2221, 4735], [2133, 2636], [2465, 11511], [7074, 7319], [6117, 8972], [381, 5546], [71, 402], [1868, 10474], [1322, 6743], [5515, 6837], [7036, 7966], [563, 10663], [7350, 9065], [8907, 9851], [2625, 9110], [2307, 4105], [1403, 4638], [5902, 6724], [5812, 10214], [3580, 7761], [2422, 8000], [2864, 8345], [3695, 8273], [10298, 11284], [2760, 7241], [6060, 7283], [6996, 8917], [4633, 9953], [493, 8739], [7771, 11165], [462, 7174], [7425, 10528], [3574, 7165], [9109, 10335], [298, 6019], [1877, 9782], [1041, 3094], [264, 9818], [1728, 10413], [2124, 3997], [262, 3329], [1201, 10896], [9527, 11033], [3842, 4886], [3124, 8807], [1087, 9104], [6661, 7284], [785, 7985], [6510, 11252], [5161, 11169], [2585, 11158], [4414, 10188], [1064, 4367], [6502, 9856], [4909, 7915], [4282, 11200], [4323, 11201], [1861, 2432], [6090, 8599], [4758, 11129], [1991, 8140], [1478, 1913], [424, 10049], [1270, 11009], [200, 10341], [1143, 3320], [8637, 10474], [8575, 8842], [3403, 10450], [7293, 10735], [3002, 9352], [4956, 6576], [4173, 10102], [7970, 10196], [1996, 10362], [64, 8201], [2304, 8263], [4604, 6124], [5395, 7377], [278, 5686], [8070, 10777], [8686, 8831], [200, 10691], [4827, 7859], [2903, 6313], [813, 2812], [3046, 5867], [5291, 6273], [4334, 7926], [717, 6487], [1025, 4388], [1625, 8325], [1300, 6313], [6002, 8728], [1437, 9028], [1394, 5948], [3071, 11000], [6247, 7778], [4509, 9620], [483, 9474], [3907, 4856], [522, 8648], [1580, 5549], [1758, 9793], [6713, 10402], [1176, 10569], [4898, 5416], [1876, 5318], [2075, 8911], [5308, 6977], [7106, 10104], [881, 6487], [2006, 11026], [4717, 9919], [2088, 2730], [6291, 7676], [697, 7309], [700, 10990], [46, 6036], [7329, 8806], [2907, 8660], [1376, 7597], [4737, 8292], [5533, 11417], [6004, 11002], [1424, 3100], [3072, 9666], [9426, 9721], [1310, 6196], [54, 2894], [7371, 10910], [6282, 10192], [1865, 3974], [7033, 7882], [2576, 9435], [4790, 7522], [511, 7684], [5116, 6002], [2186, 5493], [909, 7730], [472, 559], [6349, 7630], [437, 1504], [5268, 6773], [1350, 2188], [3364, 5879], [1898, 5211], [4633, 9416], [6795, 8067], [2231, 4862], [2112, 3450], [2922, 8917], [4231, 8847], [813, 11001], [5529, 6706], [830, 1556], [8522, 9449], [4411, 4469], [1973, 6674], [985, 9014], [3633, 4175], [4844, 9986], [4410, 7250], [2075, 10334], [7519, 7724], [2132, 4452], [9356, 10025], [7112, 9063], [2496, 5668], [856, 3127], [2900, 9693], [5735, 11096], [1478, 9297], [8746, 11035], [1507, 7783], [447, 8557], [2212, 9292], [8466, 11395], [5599, 11208], [1153, 6504], [9305, 9686], [6996, 7575], [6259, 7282], [1398, 9718], [3301, 4725], [1143, 9199], [5064, 11049], [4386, 5701], [1528, 2594], [298, 4677], [272, 5708], [8993, 11262], [2171, 9641], [6901, 7688], [3814, 8693], [8022, 10573], [1613, 2143], [2731, 7763], [6404, 10265], [4845, 7154], [146, 4256], [4031, 10613], [710, 6284], [459, 2501], [268, 2933], [3561, 7466], [2257, 5628], [2563, 9118], [2498, 8723], [5374, 5963], [5797, 7786], [5210, 11224], [5267, 5342], [5679, 9982], [194, 10339], [3621, 5238], [7509, 11112], [6286, 7950], [1282, 4416], [1562, 6685], [2969, 3740], [254, 941], [3994, 11081], [8562, 11052], [5692, 6430], [2149, 7384], [1233, 11320], [3732, 6358], [10235, 11417], [5963, 8586], [1362, 6223], [1386, 4365], [1195, 4797], [4503, 8864], [2261, 2313], [3811, 7590], [5986, 6503], [982, 10139], [6708, 9871], [5643, 9547], [75, 11155], [1290, 1624], [6589, 8459], [5992, 10455], [7702, 11483], [665, 5736], [200, 9349], [2874, 9895], [8013, 8901], [3405, 10285], [8221, 9604], [913, 8467], [9040, 9872], [8061, 8568], [3028, 6548], [9714, 11314], [2085, 5655], [3914, 3931], [2489, 6270], [5357, 10065], [3230, 7436], [2121, 10947], [3669, 7483], [5747, 6463], [3983, 9336], [456, 10069], [5251, 9265], [4535, 9849], [6964, 9810], [9364, 11285], [44, 5402], [569, 1086], [1850, 8390], [2884, 7149], [8104, 10493], [4370, 8469], [3912, 7591], [6393, 9994], [1071, 5619], [6884, 10231], [5573, 7222], [4339, 6123], [1120, 5511], [7175, 10380], [2607, 4023], [2424, 10732], [1304, 11455], [1808, 2098], [4912, 8644], [1904, 2560], [7967, 8101], [5823, 7747], [4331, 8864], [8966, 9303], [4257, 9881], [893, 2472], [953, 6687], [7747, 9266], [2202, 3156], [7492, 7993], [1950, 7816], [6564, 8132], [5633, 11006], [6275, 8029], [867, 11050], [5590, 7926], [9891, 9997], [5218, 6068], [6589, 9882], [667, 10238], [894, 2293], [3261, 8546], [6150, 6802], [2654, 2684], [76, 348], [3291, 9886], [3129, 9558], [1634, 3988], [2790, 5928], [629, 4469], [4302, 6217], [6203, 6813], [2438, 11138], [4140, 8141], [6980, 9888], [10149, 10413], [2471, 10497], [1814, 6026], [742, 4531], [9716, 10531], [2400, 5369], [7837, 8004], [1643, 3700], [5357, 8455], [1405, 4286], [4880, 8301], [7120, 8363], [6996, 10771], [3546, 10004], [6132, 8451], [2357, 5672], [3694, 4240], [3100, 9917], [2508, 5841], [6933, 9668], [4937, 5802], [890, 7785], [2294, 4569], [711, 9732], [5377, 6074], [2008, 11153], [2010, 5564], [4778, 7243], [5022, 7603], [550, 1678], [7234, 9781], [1819, 5215], [4124, 9836], [5870, 6357], [1694, 9650], [1625, 7601], [1713, 7448], [8939, 9684], [2817, 6946], [3151, 6068], [4429, 7439], [5831, 10566], [5101, 6556], [3081, 4548], [7962, 9180], [312, 11312], [7504, 7548], [6287, 7584], [6471, 10145], [9177, 9448], [7160, 11121], [390, 3274], [2014, 4528], [2490, 10873], [7115, 7214], [3417, 11263], [3761, 4657], [6749, 8554], [4636, 10519], [1424, 6914], [4712, 8851], [2442, 6668], [3688, 8501], [1694, 5462], [5465, 10751], [756, 7165], [3624, 4544], [2217, 10872], [8158, 8314], [3459, 9580], [3794, 5894], [962, 11555], [5881, 6091], [4630, 9549], [524, 11329], [8898, 9228], [4657, 4956], [4130, 8445], [1076, 5426], [2084, 5216], [5590, 8544], [603, 6899], [7266, 9961], [3773, 3862], [4565, 7969], [3804, 8810], [3191, 10273], [9626, 11256], [3527, 3806], [5204, 11110], [6515, 8457], [130, 6837], [1897, 8399], [3120, 5145], [8285, 9536], [7378, 10552], [991, 5853], [6942, 11153], [187, 4338], [1651, 8343], [4440, 9401], [3703, 8354], [747, 8876], [9519, 10985], [3380, 6388], [4099, 6075], [2755, 6336], [370, 3641], [2326, 10360], [7584, 10778], [821, 4102], [5440, 11178], [8857, 11051], [1383, 3051], [675, 1244], [3906, 9063], [695, 8312], [2751, 5813], [3496, 10885], [5674, 10069], [1324, 11489], [2780, 5053], [5366, 5752], [1530, 9113], [752, 1649], [9246, 10984], [3685, 10757], [223, 6223], [4300, 8586], [8997, 11411], [459, 1777], [6313, 6390], [3290, 5690], [6180, 6800], [6494, 8653], [4369, 6851], [3878, 9243], [229, 5637], [2357, 2452], [514, 8250], [6773, 11451], [1663, 10931], [7351, 10933], [640, 7800], [4810, 6944], [4488, 10865], [3672, 4829], [2596, 11486], [6538, 7797], [4984, 11446], [7596, 10333], [3988, 6728], [3045, 5835], [2893, 7693], [1181, 10756], [1952, 9879], [4441, 10645], [1770, 7364], [1828, 11506], [7769, 8948], [2798, 7806], [8266, 9754], [2356, 5209], [2442, 6481], [2414, 4433], [953, 8273], [4062, 4583], [10075, 10761], [455, 10248], [10278, 10366], [260, 7528], [1910, 3587], [1029, 5824], [6507, 8460], [61, 9570], [405, 2964], [2361, 7431], [5260, 6375], [6970, 9655], [2030, 7826], [776, 5351], [2309, 7241], [27, 537], [4548, 7078], [2425, 8355], [5097, 8074], [7029, 7983], [3518, 6940], [3502, 8689], [1024, 9213], [6068, 11365], [1579, 9997], [5068, 9938], [6026, 11139], [4588, 6103], [1239, 10306], [2010, 10183], [1294, 10013], [1265, 5111], [6987, 10359], [1820, 9305], [7520, 10822], [5679, 11031], [2348, 9424], [1350, 4660], [3278, 9331], [2218, 9351], [8634, 10284], [6604, 7588], [5761, 6145], [6488, 9857], [11087, 11393], [476, 7287], [1004, 7406], [7879, 7907], [2148, 5579], [1907, 2484], [1561, 1847], [3391, 10147], [9029, 10032], [5719, 10056], [6873, 8917], [3490, 7120], [4858, 5001], [240, 779], [1204, 10096], [2642, 8716], [2549, 6273], [703, 6138], [3349, 6888], [2055, 5738], [6337, 8533], [1486, 5995], [1114, 10553], [6324, 7547], [6766, 8646], [6122, 10796], [4429, 10903], [17, 11445], [8170, 11065], [5013, 7167], [8634, 9479], [1748, 10317], [7202, 8395], [7141, 10371], [2298, 7751], [3087, 5925], [2077, 6062], [784, 7766], [5600, 7085], [6407, 6619], [6255, 9231], [7559, 11069], [5343, 9903], [6833, 8713], [5506, 11587], [17, 3874], [2702, 8716], [5408, 7265], [6991, 9272], [1227, 3798], [265, 5107], [2388, 3830], [800, 2233], [3260, 3759], [517, 5328], [1943, 6597], [3775, 11560], [8544, 8781], [794, 7299], [10462, 10512], [3867, 8116], [5522, 8683], [8720, 10700], [2488, 2906], [1469, 10097], [1125, 10287], [2742, 4708], [6919, 10685], [5166, 6577], [9992, 11502], [4538, 7008], [1590, 11555], [1798, 5842], [4661, 5129], [3332, 11340], [7501, 11040], [5099, 8738], [2050, 6063], [4161, 8189], [207, 9609], [5884, 9422], [520, 5575], [5771, 10484], [8758, 10029], [8388, 10496], [6235, 8898], [4179, 4981], [7950, 10270], [6671, 9428], [5081, 7004], [3682, 8312], [4776, 6368], [5920, 10957], [6445, 7395], [1899, 5493], [2406, 6987], [8092, 9572], [1157, 7485], [1188, 7552], [10830, 11042], [4759, 4859], [4136, 5634], [3045, 4843], [892, 9661], [3078, 5700], [6469, 11522], [7985, 11553], [8329, 9111], [4567, 11455], [1200, 10945], [855, 6746], [8076, 8638], [1355, 4817], [358, 9323], [6788, 9962], [5076, 5855], [851, 6223], [5732, 10855], [10742, 11171], [4512, 7210], [4102, 9032], [6875, 9557], [247, 10431], [10744, 11217], [1403, 10119], [968, 4529], [1061, 6972], [956, 3014], [1308, 11013], [927, 7157], [5975, 10963], [76, 2820], [1447, 6634], [1163, 6875], [3100, 7128], [3630, 3910], [2907, 8985], [5457, 7775], [70, 5257], [3655, 11322], [389, 6700], [2970, 4803], [4520, 10080], [7830, 10810], [6075, 10039], [598, 1589], [563, 5540], [2586, 11229], [4055, 4998], [1154, 9391], [2114, 5003], [4025, 6287], [345, 1116], [4078, 10085], [2182, 3417], [2982, 4032], [4286, 10788], [7310, 7926], [5030, 11471], [4138, 7103], [769, 5766], [1726, 1861], [113, 4149], [5596, 7129], [1451, 9735], [5718, 5806], [363, 7707], [361, 11044], [4932, 10532], [10283, 11141], [7024, 8444], [1759, 11019], [1004, 5259], [7736, 10370], [11158, 11341], [692, 9868], [8850, 9832], [1785, 2791], [216, 490], [5542, 5738], [4138, 5948], [1894, 9150], [815, 9120], [283, 11511], [1159, 2514], [896, 3632], [3545, 8817], [8464, 9015], [2177, 2268], [6414, 9050], [611, 4402], [8587, 11300], [2931, 10055], [7117, 7480], [4126, 11199], [210, 7441], [3006, 4752], [2923, 9413], [8492, 11413], [8430, 10535], [1784, 4444], [9201, 10412], [8115, 9211], [735, 8760], [6521, 9297], [3025, 5933], [6610, 8588], [10968, 11193], [6926, 10514], [1221, 2237], [5835, 9723], [477, 4937], [3868, 10759], [5826, 7725], [5082, 10425], [1837, 10844], [4741, 7880], [4338, 5955], [6764, 9405], [3056, 7848], [418, 6959], [1621, 6493], [6514, 8476], [4551, 7002], [399, 8437], [1959, 8740], [6005, 9538], [1184, 3459], [117, 8724], [3254, 4830], [2114, 6776], [9858, 10695], [4533, 9055], [2167, 6410], [4510, 7351], [76, 9854], [5810, 10201], [9201, 9607], [5345, 8152], [5185, 10149], [5152, 7757], [1511, 8176], [444, 11189], [2970, 5421], [3532, 6622], [5823, 6649], [8197, 9909], [811, 3254], [1600, 10096], [2741, 8752], [2744, 8269], [7635, 11337], [125, 5932], [316, 2494], [8255, 10264], [5165, 8342], [9430, 10002], [521, 9315], [6848, 10176], [7429, 9929], [6216, 6701], [490, 4717], [2510, 2561], [335, 642], [2301, 8049], [8402, 9910], [8832, 9494], [7865, 10459], [3355, 7460], [6488, 8328], [1049, 9784], [10226, 11225], [4340, 4822], [3932, 9723], [4661, 10098], [2720, 3687], [1882, 3342], [6266, 6414], [7977, 11050], [1494, 8895], [8042, 11445], [9090, 9910], [7780, 9755], [538, 570], [4354, 11294], [8303, 9530], [4941, 8610], [3929, 6392], [7597, 7796], [8631, 8807], [551, 805], [10268, 10296], [3236, 4893], [963, 9609], [5603, 11146], [1618, 11001], [7867, 8596], [7994, 8371], [1433, 4805], [2830, 7588], [2486, 7778], [5715, 8354], [3044, 5073], [1007, 1206], [6151, 11136], [3195, 5242], [548, 10683], [5018, 10119], [3455, 9518], [72, 7721], [1438, 11191], [3217, 10104], [2059, 9589], [624, 8234], [3239, 7419], [4868, 9771], [1585, 7454], [1373, 3599], [2149, 3066], [753, 8055], [429, 4733], [401, 9101], [1619, 10421], [5961, 7605], [670, 11211], [2941, 4170], [1636, 10775], [1605, 9210], [3157, 4734], [6092, 9751], [5278, 6794], [1534, 10498], [4001, 9031], [267, 591], [4064, 11265], [2445, 3185], [7952, 10723], [784, 2049], [3244, 4329], [3467, 10228], [5800, 6317], [1412, 11417], [5259, 8622], [3738, 4083], [1902, 2384], [2862, 4412], [4102, 9463], [2744, 5854], [5598, 11471], [870, 1419], [3299, 4386], [3111, 10751], [1019, 7177], [3145, 10335], [122, 6629], [2023, 7225], [2135, 7466], [3694, 4915], [708, 6726], [854, 6551], [1733, 3487], [6999, 7930], [3288, 6856], [1134, 2404], [139, 7737], [8258, 10779], [518, 3569], [9098, 11170], [2814, 10356], [316, 5340], [2438, 11008], [7686, 10738], [440, 11233], [5636, 10019], [2300, 4658], [7198, 11149], [3110, 10125], [4822, 7816], [930, 4452], [2719, 4053], [2428, 7287], [5351, 10789], [6996, 7258], [2582, 11137], [3351, 3771], [1124, 4668], [683, 10587], [4167, 6020], [890, 1239], [50, 3477], [3563, 7976], [5304, 6405], [2002, 4038], [2915, 6974], [7416, 11385], [6731, 11282], [4186, 10584], [5733, 5764], [5418, 10856], [4895, 9583], [661, 2318], [4081, 6626], [760, 2297], [4932, 7930], [5978, 9732], [133, 5582], [9780, 10170], [537, 10361], [2332, 3391], [7471, 8059], [850, 8606], [8253, 9226], [6097, 10363], [3731, 5466], [1484, 4987], [1021, 3011], [3024, 7267], [1949, 6255], [1553, 6255], [5159, 6781], [212, 10197], [1205, 8955], [7120, 7428], [6117, 8736], [1676, 8540], [5194, 9219], [7699, 10518], [6558, 9610], [9600, 10360], [8295, 8297], [6395, 11309], [359, 4181], [2687, 3336], [1633, 7308], [8725, 11264], [6352, 7448], [5149, 5662], [4027, 8968], [1537, 10983], [4576, 5800], [1155, 8437], [1005, 11122], [2110, 3705], [6170, 9097], [6046, 7341], [4487, 9892], [2333, 5440], [1682, 10583], [5233, 7238], [4510, 10815], [957, 4665], [468, 4474], [4160, 10436], [6006, 11325], [4104, 7094], [4696, 4754], [5623, 10806], [5220, 9635], [296, 1923], [1133, 9213], [3345, 7227], [319, 594], [2877, 5661], [2906, 10563], [3723, 10785], [6703, 10657], [1794, 8141], [5263, 8958], [5710, 10401], [4560, 7495], [916, 1981], [4079, 4189], [5667, 6540], [1930, 4245], [5111, 8537], [3676, 7182], [37, 4264], [1083, 5312], [2120, 10004], [3393, 3861], [9313, 9848], [5201, 8430], [5237, 10339], [2310, 9347], [6259, 7583], [6531, 11489], [779, 1868], [435, 2058], [2540, 11529], [1683, 6970], [7345, 11413], [6280, 11089], [6158, 10160], [9673, 11322], [2928, 5195], [7028, 9262], [8179, 8606], [578, 831], [1331, 5764], [3230, 3281], [330, 6364], [9875, 10675], [2468, 6149], [942, 5430], [133, 2817], [131, 6154], [4274, 6885], [2379, 10241], [1377, 1571], [250, 7539], [4613, 10488], [912, 3686], [3745, 4262], [2642, 7618], [4049, 4673], [19, 1375], [7654, 8734], [434, 3280], [4632, 8636], [2139, 3964], [1865, 11309], [4246, 4436], [2850, 8671], [8636, 11460], [11313, 11523], [3539, 9647], [3912, 8697], [2812, 9318], [3495, 9348], [4892, 11377], [5778, 9484], [1695, 3142], [5857, 8087], [6144, 11527], [3840, 9760], [4960, 9791], [602, 770], [5509, 10787], [2938, 11120], [5323, 7399], [4648, 7984], [6389, 10577], [811, 2075], [1409, 10103], [220, 8023], [2907, 8774], [2825, 6520], [4674, 10336], [5078, 10951], [7031, 10983], [2148, 4026], [4768, 9971], [5599, 9899], [1311, 5781], [4816, 6255], [2396, 7511], [1830, 2404], [4877, 6881], [1505, 5273], [1797, 9811], [2507, 10910], [3692, 5674], [6609, 8607], [781, 2182], [3334, 4653], [7278, 7426], [1403, 10981], [5259, 6020], [2485, 8276], [6623, 8663], [8739, 11133], [4384, 5793], [950, 3307], [5750, 9263], [522, 10185], [553, 9498], [608, 3543], [1865, 9699], [4692, 7077], [6995, 10871], [4153, 6045], [3010, 11480], [9316, 9609], [5773, 10563], [389, 7562], [1406, 4462], [764, 1023], [2467, 7296], [944, 6094], [2007, 2585], [658, 9672], [3562, 8960], [1310, 7383], [2808, 4556], [2493, 5484], [3368, 9094], [6759, 8500], [1121, 1445], [2459, 2867], [1084, 8733], [3988, 8021], [597, 2199], [968, 4586], [397, 1387], [1864, 2657], [9241, 11478], [6808, 11021], [6562, 7582], [2601, 8585], [7057, 7561], [9295, 10960], [8605, 10513], [795, 2564], [2138, 10746], [4432, 4655], [920, 7174], [1174, 4812], [3739, 10326], [6951, 7515], [5774, 6950], [9303, 11201], [1845, 7087], [1274, 3888], [1769, 8031], [1273, 10079], [1433, 8082], [5440, 9706], [3984, 9726], [684, 4022], [9548, 11382], [243, 10695], [1452, 9263], [2109, 7318], [985, 10551], [5242, 5934], [6186, 8183], [821, 2980], [5595, 6961], [72, 10998], [9034, 9067], [6680, 7937], [2067, 4813], [6922, 7470], [5857, 7900], [910, 11316], [3747, 7130], [102, 3643], [4831, 10887], [3140, 7657], [2811, 8879], [1770, 6697], [1240, 3499], [7216, 10549], [4413, 4897], [9208, 10509], [4222, 8335], [4540, 6924], [2265, 7807], [4663, 9209], [8856, 9303], [5659, 6730], [10972, 11019], [2073, 11020], [208, 6671], [698, 6306], [4777, 9496], [2160, 7232], [8825, 11121], [2533, 5528], [3011, 8536], [3247, 4871], [2072, 5133], [2228, 5646], [7632, 11551], [5865, 7737], [9882, 10049], [9809, 10510], [4587, 10503], [6294, 7096], [1215, 4731], [442, 2529], [4151, 6940], [2368, 10537], [1719, 10091], [2916, 11308], [1610, 8643], [1374, 5892], [997, 10106], [4073, 8188], [6492, 9713], [236, 10947], [2359, 9670], [5568, 7342], [4501, 6191], [6216, 7563], [1264, 4973], [2886, 5400], [5682, 7629], [3908, 9060], [7772, 10376], [9947, 10043], [6495, 10361], [3821, 9815], [2809, 6873], [412, 2663], [8784, 10315], [2774, 7818], [5249, 11130], [1497, 3639], [4218, 10390], [1974, 6422], [2657, 10616], [5826, 6977], [9124, 9602], [3090, 3301], [2641, 5195], [3337, 9594], [8688, 10203], [615, 9788], [6657, 10288], [4816, 7491], [7620, 9581], [6997, 10356], [2213, 9040], [8299, 9869], [2697, 5477], [2331, 10981], [5975, 10833], [6405, 9663], [6276, 7563], [8266, 10860], [1733, 2926], [5652, 8113], [3560, 4539], [5179, 6203], [1376, 7792], [2682, 4041], [981, 10646], [8164, 9802], [65, 7412], [158, 4193], [5555, 11563], [3776, 6234], [311, 4435], [6824, 10936], [8347, 9105], [2358, 8239], [9742, 11061], [6380, 10895], [5005, 9591], [5497, 7020], [4993, 5043], [1949, 3466], [2594, 10586], [10128, 10723], [7342, 9936], [1110, 9312], [9136, 9157], [4838, 11521], [3475, 7568], [6959, 7165], [4299, 10489], [7203, 9777], [6055, 7698], [4123, 6291], [8231, 10219], [9000, 9269], [3771, 7337], [3334, 5084], [404, 411], [1687, 7788], [973, 2783], [5329, 10977], [7373, 11127], [4824, 7277], [6446, 7704], [9333, 11549], [940, 3774], [3416, 5833], [2548, 6777], [10330, 10426], [7902, 11067], [4750, 7513], [4264, 11003], [5162, 5737], [4255, 6753], [3252, 8061], [5253, 5855], [7422, 11369], [4430, 5064], [2255, 6151], [5842, 8879], [4562, 5183], [1487, 4293], [5367, 10306], [14, 6618], [4491, 6471], [2963, 4925], [1694, 4771], [4679, 9151], [8533, 10533], [4030, 4541], [8149, 9789], [654, 9580], [5695, 11461], [4663, 7867], [2550, 3416], [7837, 8736], [7654, 9783], [5264, 5990], [3149, 7128], [2325, 4237], [2046, 4822], [5934, 10696], [2429, 7970], [4886, 6569], [6739, 9403], [3229, 6333], [4934, 9269], [1885, 7348], [4997, 7339], [4532, 8700], [3107, 4623], [1949, 8272], [674, 4920], [8299, 10837], [4118, 9622], [4498, 9089], [1201, 7066], [1653, 3965], [4517, 10270], [164, 5757], [100, 4052], [5671, 9131], [3269, 4577], [8370, 11427], [7310, 11447], [7027, 8880], [4480, 7355], [3291, 5275], [1806, 4557], [395, 10766], [1267, 10695], [358, 4468], [1454, 4105], [172, 5998], [5345, 10250], [7986, 8404], [4689, 8633], [6960, 7254], [1826, 2930], [81, 9263], [3187, 6056], [3169, 11112], [454, 1897], [4060, 8839], [7699, 8347], [2711, 3094], [3312, 3469], [537, 619], [5793, 10790], [3305, 6462], [6393, 8311], [259, 10474], [192, 9252], [3112, 6821], [8103, 9339], [218, 1805], [3045, 5599], [6327, 9943], [381, 3489], [4150, 7951], [447, 7492], [4852, 5025], [2553, 8520], [598, 11071], [8318, 10432], [7941, 8230], [713, 5167], [2917, 9736], [708, 4823], [3569, 7447], [611, 11306], [8990, 9549], [905, 5337], [2883, 7119], [5035, 11498], [2795, 5020], [5785, 9744], [88, 8498], [4653, 8198], [4606, 9106], [6502, 8604], [7897, 10560], [731, 9129], [3229, 11139], [4970, 9568], [6673, 9425], [2070, 4737], [7173, 7496], [132, 11429], [4564, 5847], [2193, 9274], [5056, 6309], [393, 3068], [3371, 10441], [5767, 11016], [4886, 6837], [801, 6461], [407, 872], [998, 6975], [7839, 9400], [7720, 11398], [6313, 7927], [6559, 11366], [8338, 10279], [1335, 4116], [4871, 6155], [2272, 10856], [2391, 5852], [3887, 8614], [10048, 10526], [7579, 11166], [2044, 5744], [5555, 9416], [333, 5245], [4899, 10051], [5085, 7023], [3777, 7695], [3309, 5375], [5086, 9877], [1230, 6170], [1536, 3244], [3070, 8742], [1569, 2603], [4955, 8081], [2188, 5092], [7126, 10258], [4758, 10950], [95, 1293], [3825, 6581], [8646, 10408], [6794, 10428], [2121, 6499], [4481, 11581], [703, 9285], [431, 11041], [1296, 9799], [5100, 11064], [6154, 6311], [3721, 8860], [5634, 10971], [8884, 10172], [802, 6231], [1762, 8259], [4434, 7978], [506, 9121], [2037, 10184], [8365, 11270], [2283, 7207], [2262, 6330], [9130, 10578], [2711, 3712], [3625, 8748], [8169, 8325], [2804, 9538], [5703, 8482], [541, 1356], [5047, 6865], [8785, 9762], [2773, 7192], [1431, 1864], [2645, 5694], [5191, 9246], [6414, 10156], [5101, 10484], [9830, 10558], [4536, 8231], [1824, 11365], [2020, 9025], [6086, 7092], [3479, 8522], [3856, 8472], [1118, 10385], [1631, 5308], [3907, 11443], [3563, 4463], [211, 4985], [4437, 7471], [3503, 10047], [53, 7028], [1476, 4616], [4003, 8118], [4056, 11162], [5948, 7508], [266, 11458], [605, 4508], [10715, 11072], [528, 2598], [8005, 8617], [5694, 9843], [8715, 9716], [932, 10006], [10271, 10277], [7993, 10485], [4691, 8118], [6812, 10178], [4640, 10782], [681, 5442], [1431, 4442], [4717, 5552], [2286, 2512], [1587, 4955], [5592, 5752], [3902, 9540], [1023, 6310], [4476, 6594], [2760, 11413], [4713, 5783], [1822, 10864], [10817, 11325], [8907, 9485], [1687, 10447], [4703, 8478], [2934, 10253], [1843, 2292], [2242, 8979], [1989, 8533], [4550, 10865], [1496, 2184], [4233, 8714], [5516, 10429], [2085, 5208], [4351, 6491], [8516, 8701], [250, 9369], [1549, 4447], [7999, 10626], [8895, 10949], [6746, 11005], [4569, 11265], [1766, 6367], [2765, 7569], [47, 5253], [6440, 6734], [1201, 10530], [4028, 7908], [4034, 4690], [6057, 10379], [290, 1224], [797, 2718], [1418, 6034], [1884, 6773], [6571, 8156], [1632, 3519], [1069, 4345], [9126, 10673], [6235, 11590], [3587, 3597], [2496, 9222], [254, 1917], [3798, 7981], [3012, 7826], [1893, 10649], [114, 5320], [3448, 4192], [8934, 10853], [3724, 8971], [1427, 1959], [375, 6758], [2765, 3381], [588, 7805], [2391, 11276], [2505, 2518], [1895, 7662], [698, 1557], [4247, 7965], [3096, 6369], [6832, 8439], [2474, 3582], [1655, 7451], [2470, 6846], [8977, 9395], [482, 7005], [4620, 8146], [1946, 7600], [764, 6691], [4277, 11190], [574, 9977], [2752, 9161], [2490, 4465], [2751, 8936], [6437, 8290], [3730, 9516], [2424, 6097], [6190, 11042], [8994, 10099], [4849, 8541], [6468, 10205], [4417, 6632], [4248, 10795], [6144, 11047], [2603, 8664], [395, 7359], [5152, 9481], [5218, 11232], [1107, 2088], [3629, 5246], [749, 10516], [1101, 8689], [3582, 4676], [3279, 4867], [5362, 7197], [754, 7827], [10334, 11193], [7842, 10129], [4239, 6868], [526, 4967], [5300, 9702], [5544, 10062], [969, 2504], [6435, 10041], [2569, 5646], [707, 4224], [2110, 4543], [3075, 6915], [5367, 7167], [516, 11045], [2296, 6396], [7110, 9806], [916, 5502], [730, 2114], [1607, 8803], [9446, 9576], [2536, 10020], [1440, 3967], [6794, 10509], [9781, 10054], [1190, 3038], [787, 6031], [1705, 2171], [1725, 3547], [1617, 6488], [5476, 7460], [5197, 8045], [1241, 7140], [4609, 4842], [6376, 8656], [371, 7257], [5154, 8348], [2974, 9091], [2423, 5016], [8059, 10490], [2261, 6940], [7742, 9093], [6744, 9991], [6687, 7205], [2855, 3892], [577, 8264], [7015, 8764], [5996, 8785], [5213, 5895], [5993, 8487], [6, 1278], [5957, 6578], [5614, 9622], [4869, 5304], [4765, 10616], [383, 1201], [3748, 5048], [4589, 5664], [8014, 10316], [4821, 10925], [4599, 6382], [37, 3947], [2827, 7859], [6352, 9709], [5719, 9796], [1889, 6556], [2618, 6931], [526, 3357], [802, 2474], [1020, 1613], [3607, 11582], [25, 2782], [6363, 9494], [9720, 10070], [3107, 10478], [1975, 8932], [7833, 11035], [1097, 2018], [9200, 10943], [107, 7695], [174, 8917], [6361, 10552], [1972, 6382], [3871, 5397], [1808, 6725], [4824, 11172], [1472, 10940], [326, 6278], [1126, 3887], [4450, 8487], [6442, 8447], [1220, 3522], [1024, 3610], [134, 3075], [2985, 4257], [6696, 9495], [1586, 5565], [1376, 8199], [6567, 7395], [3669, 11305], [1867, 10688], [2361, 5561], [595, 11017], [3417, 8051], [8737, 9347], [1894, 6849], [4318, 8718], [1606, 3184], [3037, 11213], [3319, 10145], [1043, 4010], [8618, 11318], [3759, 4001], [3939, 6820], [4651, 5336], [14, 1064], [1104, 8800], [6109, 11024], [6290, 7652], [2351, 4442], [1162, 6526], [561, 4616], [7902, 10774], [5820, 7888], [3180, 11090], [317, 1223], [64, 777], [2868, 9283], [3639, 8406], [4265, 5650], [1928, 7907], [6040, 7073], [8156, 11041], [2732, 6389], [4478, 10080], [2661, 7677], [3383, 6881], [9546, 9620], [8696, 11170], [2051, 2995], [5346, 6103], [2782, 3473], [4896, 10778], [763, 4319], [3837, 7990], [191, 8065], [1044, 10196], [2040, 5465], [1854, 9247], [5555, 6627], [6539, 9803], [3645, 4787], [4419, 8345], [3154, 5681], [2615, 4649], [7941, 9897], [4758, 11194], [121, 9174], [7093, 8110], [248, 8949], [9370, 10683], [7933, 8501], [3133, 3299], [1302, 4196], [5163, 5995], [2733, 5809], [362, 9236], [558, 6896], [8338, 9718], [208, 8769], [3174, 8935], [3384, 4049], [803, 3694], [8483, 10072], [1858, 8211], [7517, 9727], [353, 1953], [3782, 4095], [5927, 10713], [5146, 10902], [145, 11049], [7506, 8814], [629, 1070], [7484, 10718], [5834, 7489], [6667, 8244], [3088, 9541], [4745, 6771], [973, 10679], [937, 8770], [2654, 6051], [63, 1598], [5515, 8675], [10064, 10848], [1744, 3386], [4737, 6129], [9243, 10884], [3520, 8417], [4855, 10322], [1807, 11255], [4296, 5605], [2976, 4008], [457, 5285], [3977, 6791], [3046, 9665], [399, 10942], [5960, 8917], [1512, 9802], [4910, 10379], [3131, 11466], [1982, 6533], [4029, 6200], [338, 7256], [1329, 8597], [923, 3745], [109, 788], [2249, 7062], [5562, 11473], [5676, 6125], [3403, 6677], [9571, 9760], [4867, 10682], [7365, 8528], [4898, 5831], [10130, 11444], [7542, 9918], [264, 5240], [2000, 3325], [327, 9726], [6483, 11294], [1533, 4613], [2343, 10080], [2217, 5245], [5140, 8747], [7354, 7588], [4978, 10671], [5325, 7746], [3771, 4979], [992, 11055], [8963, 11193], [625, 3125], [5320, 10785], [6440, 7783], [208, 7159], [302, 10204], [4495, 11052], [3502, 6632], [4066, 8660], [4596, 4688], [3813, 4050], [292, 2319], [3557, 9722], [10491, 11584], [1782, 4512], [10923, 11214], [1962, 9583], [3515, 6463], [464, 3715], [863, 7396], [6152, 7127], [5074, 6541], [6251, 10489], [1858, 8829], [1347, 10599], [7207, 9365], [2004, 2238], [9419, 11543], [1919, 10236], [7881, 8555], [8670, 8981], [5031, 10227], [8544, 10562], [2477, 8285], [2183, 7838], [223, 10045], [1749, 10764], [6363, 11080], [40, 11092], [4434, 9190], [2674, 8075], [1445, 7320], [2369, 7439], [8155, 10228], [3450, 7515], [4322, 7444], [590, 5493], [6094, 9350], [1904, 8773], [2372, 10339], [3265, 4729], [524, 709], [4288, 4827], [3319, 4965], [2233, 4518], [2670, 4519], [2671, 8127], [975, 4553], [2442, 11458], [3034, 9118], [2168, 5971], [6509, 6717], [10158, 11077], [6665, 7230], [292, 709], [1945, 7619], [3898, 8405], [1431, 4954], [5634, 6490], [940, 8100], [6043, 10859], [257, 1654], [3746, 11017], [10022, 10435], [808, 9112], [133, 9697], [1062, 10160], [6058, 8888], [3857, 8000], [1646, 9430], [1465, 10550], [7721, 10070], [1367, 7763], [4142, 11367], [10176, 11252], [678, 10170], [4630, 7923], [3879, 9452], [169, 11232], [2124, 2265], [7798, 8223], [7, 6740], [1003, 8425], [3372, 4925], [9197, 11052], [1884, 5407], [6020, 9885], [1039, 8055], [5478, 11588], [6455, 9059], [3432, 8359], [4894, 11537], [3277, 5038], [9061, 11164], [2580, 2666], [2082, 8805], [4444, 7544], [2047, 9750], [216, 4231], [5730, 8776], [4124, 5095], [8955, 10364], [1269, 6423], [4285, 5952], [4727, 7051], [10785, 11494], [1549, 2276], [5626, 8803], [146, 6094], [6051, 10295], [5404, 6512], [3439, 8375], [858, 8020], [4186, 9356], [6608, 8900], [204, 3066], [7302, 10220], [8417, 9907], [5332, 7575], [8792, 9030], [6127, 8977], [1248, 10807], [3574, 9889], [2579, 8806], [647, 2481], [3915, 7149], [6380, 9773], [1490, 7307], [2008, 2574], [5285, 10738], [5567, 9670], [7803, 9990], [6960, 8547], [826, 5048], [1359, 5511], [3069, 8791], [1326, 9535], [7303, 8886], [4526, 5209], [2196, 8637], [5305, 9111], [1568, 2652], [3927, 4126], [6519, 8023], [3341, 10418], [5012, 5102], [4323, 7509], [1876, 3936], [380, 6809], [134, 4124], [3233, 9572], [6450, 7105], [430, 510], [2490, 8710], [2646, 2807], [6408, 10262], [9078, 9908], [4563, 6565], [306, 8930], [1576, 5522], [3473, 8628], [1135, 1615], [1520, 2180], [4412, 10533], [4558, 9604], [2724, 4568], [1664, 5342], [387, 6825], [4279, 4527], [953, 3264], [1532, 2190], [5019, 7720], [9194, 11372], [4643, 8372], [2253, 5333], [9679, 9909], [692, 1395], [9028, 9390], [6908, 7932], [3673, 9039], [6694, 8912], [4602, 5338], [684, 753], [2787, 7899], [340, 10742], [3299, 9737], [6584, 7993], [5405, 10765], [21, 7764], [642, 10326], [8145, 8898], [3162, 10405], [3473, 7823], [3435, 5087], [6236, 7660], [8290, 10750], [2667, 9645], [4217, 8506], [5213, 10945], [6675, 7707], [5124, 10873], [3218, 4271], [8102, 8420], [3918, 4682], [8434, 10879], [3270, 10096], [1219, 6523], [849, 4738], [8569, 10515], [6032, 9708], [3761, 3917], [6599, 9001], [2896, 8542], [2984, 4225], [2328, 9024], [3200, 8953], [774, 6257], [892, 10450], [6556, 11556], [6305, 7773], [6251, 10920], [308, 10399], [2581, 6437], [681, 2279], [74, 3587], [4836, 6807], [7211, 9915], [2416, 5057], [1445, 4368], [8041, 10372], [3712, 6253], [6198, 7502], [4546, 9862], [971, 2233], [1435, 7063], [6846, 7723], [10087, 10568], [2432, 5940], [7874, 8165], [3837, 8584], [3008, 4595], [98, 5462], [1128, 8983], [8922, 10013], [6069, 11414], [8080, 11424], [3794, 8887], [4157, 6495], [1731, 3799], [6247, 9242], [3467, 6048], [1481, 9286], [894, 5554], [2035, 4210], [5133, 6747], [579, 4230], [6124, 8842], [5530, 8103], [2192, 7577], [1354, 11396], [6154, 10182], [817, 7027], [849, 9194], [3035, 5987], [3398, 10765], [879, 11288], [533, 4235], [3767, 5155], [6939, 10115], [1738, 3815], [7871, 10095], [9027, 9783], [5042, 10392], [190, 4246], [436, 7685], [780, 1079], [7338, 10763], [4418, 6778], [6220, 10778], [1953, 8291], [5254, 10433], [7181, 9998], [8635, 9151], [1916, 8409], [2876, 10437], [3693, 10659], [3996, 4052], [771, 10011], [4780, 8298], [9162, 11297], [7209, 9013], [2818, 4016], [2565, 3570], [1935, 9590], [1007, 5565], [4558, 6384], [4902, 6948], [3777, 6573], [5819, 5896], [2589, 7347], [2835, 4370], [1558, 6607], [1363, 3133], [1063, 10011], [4614, 6666], [2513, 5258], [10081, 10641], [7555, 10747], [174, 4436], [8248, 8459], [3143, 9037], [7336, 9131], [8955, 10795], [1259, 6166], [5055, 6035], [6082, 10039], [2202, 8190], [3441, 5469], [5736, 9402], [5691, 10383], [920, 2913], [6962, 9829], [4682, 11122], [10628, 11160], [5, 9703], [3674, 4135], [5071, 6918], [8155, 11277], [1558, 5802], [97, 9642], [775, 8574], [775, 2158], [346, 6182], [4484, 6569], [4419, 9557], [10200, 11248], [5513, 10619], [5286, 11394], [4066, 7749], [327, 4627], [7902, 11181], [2601, 9935], [4067, 4187], [5992, 9341], [2759, 4859], [1797, 6168], [5372, 7381], [1416, 2312], [7274, 10831], [1207, 8554], [4185, 5347], [580, 5423], [1760, 9669], [2037, 8257], [7195, 11477], [8604, 9359], [4337, 6118], [7188, 8054], [1989, 8216], [781, 1922], [7759, 10472], [4865, 5456], [3048, 10223], [7277, 9974], [1396, 10331], [4291, 6123], [4228, 11436], [364, 3704], [8085, 11581], [6460, 10102], [2485, 11399], [6267, 10461], [2765, 7252], [2946, 3880], [8233, 9200], [1514, 8458], [203, 5449], [7326, 10216], [4616, 7761], [4403, 10097], [1788, 4496], [700, 8884], [10400, 10854], [1312, 7950], [1747, 7878], [4272, 10553], [3181, 9008], [1278, 8339], [7012, 7932], [8579, 8682], [6409, 10113], [7307, 11263], [1550, 6960], [1737, 9038], [3855, 8171], [2852, 8725], [990, 8057], [2286, 3618], [1335, 9223], [6428, 11294], [8329, 11136], [1170, 10876], [309, 8073], [2448, 5831], [2410, 4593], [359, 1774], [3571, 5379], [4089, 10472], [7275, 8692], [7798, 8467], [19, 2083], [3338, 5585], [6326, 10236], [698, 4623], [2754, 6288], [3339, 9193], [1004, 5861], [3957, 11457], [10335, 11152], [8695, 9365], [6608, 10299], [2776, 6986], [3731, 8670], [3213, 6987], [1088, 7437], [2119, 2515], [5255, 7064], [3148, 5811], [8867, 11542], [1028, 4353], [4047, 10569], [2110, 8064], [2768, 9727], [1201, 1837], [59, 10126], [1301, 8834], [8928, 11414], [4809, 8825], [5117, 6726], [2790, 4009], [2292, 3732], [2660, 8100], [1218, 5574], [4112, 4174], [1342, 1668], [980, 6914], [4218, 5324], [9603, 11179], [1198, 8305], [2409, 7700], [4357, 7388], [1776, 7787], [3235, 7284], [910, 11056], [2091, 2695], [6287, 6470], [1188, 11000], [2089, 9415], [5697, 6604], [406, 3794], [4390, 10130], [3263, 9682], [5121, 6444], [2488, 5899], [2760, 4143], [1258, 1566], [1105, 3953], [8639, 10506], [1925, 10862], [24, 3850], [301, 2438], [10349, 11534], [800, 4071], [614, 7099], [793, 9316], [4060, 10376], [2345, 2588], [6151, 6932], [5653, 6655], [600, 2505], [861, 11140], [2971, 5494], [7693, 9315], [826, 2259], [8508, 8710], [4647, 6911], [3716, 9785], [8403, 11168], [5703, 9401], [1154, 7228], [4238, 5171], [7252, 8791], [2429, 7547], [89, 11041], [9581, 11554], [3146, 4155], [7409, 9906], [4102, 9447], [215, 6427], [1175, 8455], [8490, 9228], [2133, 3994], [7963, 10465], [2817, 3872], [1176, 8276], [2888, 5967], [5868, 10003], [3251, 10745], [2167, 6207], [732, 4852], [5520, 9293], [107, 4800], [3849, 5187], [878, 4677], [2326, 3985], [7269, 9495], [6584, 9392], [3160, 7594], [7239, 10784], [3614, 5320], [969, 3260], [6540, 8339], [2968, 4391], [46, 10159], [3183, 6265], [1562, 3774], [251, 765], [6229, 7888], [7655, 11409], [4050, 11485], [160, 2532], [6166, 6785], [4798, 9658], [8896, 10646], [3858, 8282], [7502, 11544], [2046, 6977], [8023, 10492], [493, 7064], [3473, 11100], [869, 9795], [119, 8543], [1829, 5407], [1509, 3739], [1603, 3374], [4125, 6532], [8894, 10169], [8956, 11047], [8316, 9963], [1941, 9031], [5932, 10122], [5082, 8262], [7907, 8223], [2494, 4484], [6483, 11164], [3183, 5460], [3905, 11080], [4332, 10393], [3857, 6902], [1152, 4791], [4928, 11178], [3951, 6537], [4769, 9613], [1529, 11130], [1586, 5248], [5722, 8972], [5792, 9711], [2800, 8324], [123, 1845], [7932, 10323], [3078, 9766], [1053, 8168], [2166, 10438], [4470, 5789], [796, 3816], [205, 3348], [3343, 7970], [896, 10813], [2634, 3309], [1574, 4083], [2919, 5922], [2064, 7128], [7079, 10794], [10289, 11320], [1217, 2533], [7130, 10759], [2997, 4300], [227, 1794], [631, 1655], [4674, 9352], [2377, 9510], [7695, 9979], [1814, 10336], [905, 10525], [243, 5710], [3797, 6046], [1300, 11054], [2148, 6425], [1212, 2539], [1672, 9879], [1864, 10049], [5601, 10092], [5121, 6257], [4287, 6031], [3098, 3951], [3005, 7924], [1513, 6035], [143, 11491], [790, 8858], [11032, 11377], [3067, 5769], [138, 3950], [296, 5290], [1464, 1605], [2250, 2514], [2962, 5194], [1461, 7723], [4699, 10297], [4570, 7443], [5941, 11257], [7088, 7449], [8118, 10216], [5754, 8398], [7839, 11555], [1296, 6343], [7686, 8307], [3023, 5066], [4449, 6335], [3265, 11015], [493, 7682], [4851, 10287], [3879, 6744], [173, 6014], [489, 10192], [1363, 10948], [4221, 9891], [6432, 9215], [2012, 4978], [2173, 9999], [9580, 11115], [179, 3550], [1910, 4701], [6591, 6993], [6708, 7578], [9020, 9206], [10, 1297], [764, 9838], [829, 7981], [2902, 8869], [2532, 7838], [3330, 5374], [909, 3022], [995, 2042], [2694, 11549], [4926, 5334], [7417, 8425], [6450, 9390], [3402, 10323], [7354, 8076], [840, 10772], [1246, 2792], [1870, 11287], [1555, 9963], [1553, 3474], [1403, 6159], [1750, 10404], [4760, 10118], [7216, 8492], [327, 9059], [1079, 4722], [6521, 6947], [705, 2037], [4086, 6417], [761, 8762], [7977, 10310], [2277, 2377], [1380, 11251], [2789, 4215], [5080, 11412], [5169, 9949], [2779, 6910], [9460, 11332], [9585, 10280], [1376, 4312], [1441, 4707], [4452, 11062], [5980, 6192], [3084, 4513], [1672, 10497], [2210, 11304], [2177, 8912], [5317, 10951], [1081, 9275], [6998, 9329], [9463, 11199], [208, 9875], [1798, 9266], [1318, 5431], [1261, 4897], [5870, 11285], [9006, 9418], [1193, 4204], [2089, 8691], [1321, 6833], [3458, 5262], [1343, 10564], [5957, 10880], [4985, 7337], [1592, 4852], [7882, 9618], [6010, 7508], [31, 914], [7322, 7709], [5357, 6162], [5360, 9843], [2743, 3415], [4489, 6352], [4047, 6007], [6347, 10284], [5410, 6173], [1015, 3686], [9043, 11528], [206, 5991], [7205, 9002], [7825, 7929], [858, 7085], [3220, 8076], [7177, 10337], [288, 1078], [4116, 6901], [604, 9420], [4644, 9272], [6010, 9736], [1717, 8280], [3460, 5284], [2088, 10667], [1532, 6248], [4579, 5090], [6659, 7149], [7200, 8227], [9514, 9958], [6476, 11579], [4604, 10223], [5652, 7934], [2885, 11361], [7007, 11215], [6087, 7862], [9679, 10934], [4070, 9535], [3165, 7214], [6809, 11230], [3949, 11460], [546, 4123], [1239, 2589], [2821, 10787], [1078, 7367], [3373, 11300], [1542, 9945], [1351, 6213], [2976, 11075], [2278, 6603], [3341, 6100], [5123, 8694], [238, 6572], [3707, 7389], [4832, 7764], [6846, 9203], [6328, 8274], [4142, 10700], [1835, 3000], [3519, 5059], [5755, 7631], [6073, 10384], [969, 9652], [3536, 5413], [1521, 7913], [5840, 10563], [2392, 4207], [8455, 9748], [4260, 8827], [6299, 7879], [2035, 9073], [9376, 9569], [547, 10309], [1409, 9550], [10374, 11300], [942, 4422], [6079, 6765], [8561, 8989], [3450, 5588], [1927, 8550], [3159, 8822], [593, 9499], [10036, 10150], [4962, 5877], [299, 2636], [6995, 8090], [4526, 8730], [3686, 10968], [769, 11418], [2909, 11276], [2847, 7365], [6548, 7751], [5858, 6550], [7718, 11309], [6761, 8044], [9624, 11495], [4337, 6175], [8913, 10171], [312, 9637], [5329, 6960], [747, 2395], [3794, 8407], [284, 1173], [1624, 9838], [373, 10290], [1178, 4833], [2124, 7909], [4663, 8038], [5531, 10477], [3984, 4717], [6348, 6535], [1078, 4602], [2599, 9141], [2320, 9726], [2265, 3603], [176, 5962], [6766, 8768], [2041, 4649], [7247, 9041], [4850, 11247], [4434, 4953], [6369, 10795], [3666, 9511], [736, 2586], [6057, 6736], [5282, 10123], [3004, 7325], [1877, 6123], [4019, 9814], [6080, 7659], [2873, 4398], [2219, 10024], [2162, 3074], [7167, 9462], [3875, 10035], [630, 10454], [7047, 7825], [3685, 7659], [5550, 7844], [2366, 9670], [8527, 11582], [9925, 10803], [7714, 9981], [463, 5214], [3978, 6376], [9177, 10351], [2921, 4415], [9046, 10834], [2565, 3090], [3758, 8295], [4260, 9445], [4468, 9394], [4005, 8172], [7737, 7871], [7019, 11038], [8290, 11238], [10505, 10681], [3678, 8716], [2532, 7464], [978, 11113], [2150, 7170], [2685, 4296], [4677, 10672], [5057, 10139], [2929, 11072], [1162, 7258], [3190, 9127], [3772, 6099], [2648, 10830], [7346, 9339], [1964, 11329], [3647, 4118], [1150, 8372], [1499, 2864], [305, 440], [4855, 9631], [2260, 11098], [920, 2433], [4720, 6962], [6148, 11310], [1977, 2115], [10359, 10455], [1851, 9358], [2071, 7412], [1916, 10507], [5598, 10089], [5118, 7008], [44, 9151], [4661, 8984], [1815, 6668], [2876, 9502], [10482, 11205], [6647, 8375], [3619, 7331], [4216, 5335], [909, 4876], [547, 3706], [7799, 11327], [911, 11338], [2186, 6022], [3239, 4077], [2244, 9410], [2906, 8563], [1433, 6724], [7840, 9823], [1176, 2372], [3858, 9949], [1776, 4811], [9802, 11072], [2860, 7814], [2583, 9980], [1683, 8003], [1141, 7454], [3202, 5299], [10786, 11215], [1959, 6366], [1102, 6745], [1382, 9014], [2636, 9991], [3006, 4606], [581, 4764], [3380, 10674], [1945, 11571], [1405, 7685], [1762, 6202], [4496, 6799], [7985, 8992], [6010, 10167], [9755, 10825], [7194, 11122], [5521, 6943], [5547, 5912], [5227, 6496], [6791, 7699], [2243, 4970], [407, 3271], [3822, 7235], [9305, 10215], [4785, 8780], [5663, 6245], [11327, 11515], [6336, 8997], [3574, 6352], [202, 4744], [9235, 11324], [634, 10790], [6981, 8920], [7979, 8022], [3689, 7241], [2290, 8549], [3558, 4314], [354, 11150], [6952, 7401], [689, 7464], [6287, 7950], [318, 2044], [3124, 4961], [4583, 8622], [8900, 11226], [696, 5602], [2642, 4463], [1869, 2261], [2736, 8262], [1934, 2656], [1120, 11033], [10514, 11011], [10457, 10477], [3953, 5193], [3667, 11023], [2265, 5644], [7932, 11185], [2333, 10474], [4277, 7010], [9426, 10868], [9135, 9938], [1979, 2025], [4191, 4203], [5808, 11456], [4989, 8155], [9629, 9692], [567, 1593], [7421, 8387], [664, 4909], [4461, 9167], [4676, 6877], [2938, 7965], [407, 7727], [2616, 5470], [2380, 3473], [682, 3236], [7071, 11391], [3088, 8663], [4522, 9793], [5293, 9670], [8304, 8855], [563, 5207], [1963, 7507], [1485, 4499], [179, 8250], [8501, 9369], [1247, 5085], [7372, 11504], [4349, 4388], [2547, 10187], [3266, 9874], [1482, 4201], [3171, 10768], [7396, 9619], [920, 5629], [3005, 8786], [4741, 11035], [5305, 6647], [5621, 10825], [3627, 7786], [604, 7086], [3809, 9520], [196, 5571], [3618, 9952], [5469, 11185], [6238, 10235], [2494, 6769], [220, 680], [4794, 10265], [2282, 5543], [4584, 6483], [320, 7677], [7324, 11032], [2020, 3853], [1145, 7036], [1993, 2407], [2305, 3433], [5063, 9342], [4319, 4872], [7581, 8594], [3014, 11477], [91, 1559], [120, 7215], [4184, 4455], [5816, 10488], [5128, 6704], [3779, 6621], [7545, 11566], [140, 1451], [1449, 10803], [5927, 11258], [5576, 10277], [5340, 8280], [2558, 3505], [2845, 6945], [4206, 10071], [2657, 7648], [5293, 7710], [6242, 9549], [2899, 7181], [3521, 9187], [6570, 8856], [1, 4675], [468, 9776], [3704, 11523], [8590, 10083], [10990, 11558], [4170, 4348], [3953, 5811], [5381, 10159], [1401, 10358], [7581, 10822], [3878, 9609], [2603, 6257], [8215, 11337], [7491, 7896], [4942, 9708], [6900, 10838], [6124, 11371], [735, 7272], [895, 3023], [4193, 7900], [6767, 11248], [640, 1750], [4437, 8260], [2534, 7591], [488, 4362], [5987, 7875], [7241, 10350], [10066, 11065], [7304, 8420], [1043, 2140], [4682, 5812], [637, 1452], [1879, 2412], [4186, 7860], [7016, 11171], [1748, 3649], [631, 3135], [2812, 10164], [9474, 10372], [1160, 6862], [41, 9685], [7601, 11043], [7293, 10890], [7914, 9288], [851, 8736], [6947, 10253], [9720, 10778], [4570, 6695], [207, 7129], [6187, 10915], [7152, 7625], [793, 810], [2164, 2372], [10382, 11055], [2624, 3296], [4432, 7111], [1727, 5000], [517, 8459], [7798, 8150], [2621, 2998], [2533, 9944], [2083, 8203], [6418, 9858], [1683, 5051], [8004, 8376], [4922, 10479], [7938, 10008], [1046, 1232], [6195, 11506], [8053, 8268], [4942, 11131], [4759, 5762], [8396, 8607], [3907, 7239], [3726, 8359], [5348, 9540], [4121, 4724], [865, 4954], [20, 6848], [8129, 9202], [1076, 2922], [9407, 10573], [7382, 8221], [4369, 5957], [3061, 8127], [2818, 9123], [5674, 11403], [1665, 6700], [5798, 6743], [4805, 8739], [6112, 7842], [899, 7197], [4574, 5608], [10155, 11375], [2520, 8153], [3733, 4211], [5914, 11240], [6463, 8072], [962, 7896], [5041, 6922], [118, 6982], [1119, 4847], [1585, 4088], [4725, 6127], [10142, 10739], [354, 1782], [1640, 7178], [348, 8383], [2070, 6762], [575, 1192], [11185, 11489], [2904, 10371], [1629, 9271], [2159, 5299], [4034, 4674], [259, 8311], [393, 5093], [3970, 7133], [4653, 10573], [5025, 6769], [7332, 8053], [8752, 11005], [6449, 10594], [5757, 9320], [4141, 11337], [1593, 7712], [2742, 6229], [87, 9897], [9082, 9604], [6064, 9248], [10701, 11268], [4576, 4849], [10014, 10338], [1394, 3338], [6034, 11291], [2732, 8170], [4845, 6959], [2393, 4540], [531, 3872], [464, 2650], [5808, 8504], [6243, 8432], [1888, 9508], [742, 8256], [1889, 10110], [3004, 9797], [2080, 3262], [3004, 3381], [4626, 10978], [5185, 6246], [6546, 9372], [6303, 9614], [6420, 10953], [950, 5926], [1387, 2517], [9876, 10754], [5490, 10265], [886, 1969], [6603, 6873], [1697, 10290], [849, 2087], [1150, 5233], [4771, 7545], [619, 8980], [7349, 7602], [9835, 10349], [4257, 8263], [9129, 9369], [4014, 9259], [955, 1732], [4017, 8776], [3834, 9823], [6057, 11436], [4603, 5867], [150, 6408], [4792, 8772], [740, 989], [5122, 10404], [304, 3842], [2446, 7533], [3822, 9439], [7060, 7849], [4371, 5517], [4474, 7150], [3853, 4588], [5370, 7473], [7837, 10924], [2013, 7651], [1390, 8426], [3773, 8042], [9108, 10370], [10032, 11243], [8103, 8599], [1719, 10587], [3372, 4665], [8731, 11551], [973, 6044], [1721, 10633], [5086, 8064], [4086, 6637], [1211, 1671], [6164, 7869], [4612, 5929], [5438, 5513], [5689, 9296], [3892, 9023], [3235, 4552], [2483, 8889], [972, 9202], [119, 7071], [4912, 9604], [559, 927], [1639, 7975], [2019, 7442], [1355, 8216], [28, 11090], [1019, 8267], [5088, 10769], [5939, 9821], [490, 6425], [7771, 8368], [238, 4669], [3414, 6365], [10936, 11403], [2197, 2991], [669, 4855], [2006, 3423], [1782, 10131], [6830, 7521], [3318, 10040], [10224, 10608], [9276, 10869], [5081, 9948], [15, 9700], [7792, 9595], [4055, 9552], [4648, 10066], [1030, 5773], [751, 6358], [9030, 10813], [10926, 11065], [3369, 9224], [2671, 4752], [1306, 10552], [2844, 7124], [486, 1364], [7245, 11304], [1245, 10249], [4624, 11550], [4161, 10328], [6277, 7880], [895, 3454], [2455, 9419], [6526, 8584], [2228, 4532], [6775, 9288], [3941, 11493], [8113, 10710], [6155, 10334], [5804, 8599], [5962, 9939], [1762, 8674], [3928, 9753], [8172, 11290], [99, 10875], [3745, 4384], [498, 8140], [1098, 6415], [4026, 10261], [4109, 5600], [528, 3818], [1971, 2782], [8944, 10988], [2991, 9779], [2051, 10655], [1278, 8453], [3950, 8172], [8931, 10002], [10021, 11322], [4880, 5073], [865, 9223], [891, 8192], [7269, 8641], [672, 3166], [1379, 4748], [4723, 10724], [3030, 4415], [5239, 9328], [4530, 4667], [5335, 9036], [6952, 9873], [2821, 4241], [1633, 5015], [7980, 10315], [8790, 9366], [7792, 11018], [9323, 9829], [1252, 6077], [3404, 9702], [3461, 10236], [4710, 6705], [1651, 3342], [407, 1555], [5669, 8508], [5263, 7820], [2033, 9271], [1345, 5487], [221, 7966], [97, 10374], [1809, 8065], [1802, 6894], [3462, 4395], [3670, 10760], [4633, 10807], [7491, 9750], [2952, 8265], [8922, 11363], [9794, 11292], [4190, 10237], [2669, 5698], [1803, 6715], [246, 267], [832, 3774], [7363, 7471], [5215, 10381], [2128, 11386], [6868, 10875], [4399, 10761], [1792, 5775], [796, 1084], [1542, 9010], [2539, 10139], [1464, 9127], [2307, 10570], [5579, 7810], [3738, 8019], [1159, 2075], [4959, 6604], [3954, 6331], [10645, 11441], [310, 817], [4451, 7137], [2863, 5540], [1061, 11339], [7910, 11373], [1121, 2722], [2433, 9339], [5846, 6060], [4108, 7148], [3920, 7851], [1484, 4467], [3824, 10772], [7890, 9593], [2658, 3980], [5345, 5485], [4782, 6311], [2918, 8980], [630, 1330], [1848, 1896], [3625, 6398], [2384, 8292], [1691, 4164], [4985, 10053], [7909, 9993], [724, 2096], [3746, 5577], [3837, 4941], [3949, 5182], [463, 2506], [9277, 11257], [3761, 5885], [242, 817], [10243, 10821], [4973, 8888], [372, 6525], [5690, 11158], [1764, 2548], [530, 1449], [5006, 8247], [980, 8101], [1014, 6931], [1580, 3370], [7424, 9547], [8272, 11334], [6300, 6364], [2403, 2656], [2408, 3000], [3381, 9397], [8644, 10159], [3130, 5614], [4967, 8669], [855, 3087], [7329, 9660], [4094, 8515], [3717, 8565], [7110, 8798], [5790, 11338], [2367, 5978], [8236, 8270], [7525, 9198], [4349, 5250], [8120, 10539], [3581, 9808], [1243, 2795], [7055, 10969], [5226, 5523], [8169, 10431], [4724, 7756], [7158, 11067], [434, 9981], [262, 4801], [3293, 9526], [4838, 8797], [7145, 10081], [3867, 8108], [2654, 4880], [4030, 9038], [7228, 8803], [2930, 3997], [2532, 7334], [8313, 9779], [4388, 10439], [2933, 11061], [5665, 11585], [3084, 4814], [10236, 11073], [4136, 9814], [4003, 10224], [5314, 7571], [4763, 9912], [902, 8113], [245, 2888], [608, 7666], [8044, 10678], [4592, 7586], [3783, 11389], [4344, 7484], [6214, 8767], [1577, 10911], [949, 4926], [1828, 1862], [5253, 6514], [5831, 5996], [1142, 7950], [9108, 9996], [5001, 8922], [1732, 4783], [4614, 8284], [8077, 9256], [3968, 5103], [4740, 10086], [7482, 9046], [2561, 11431], [591, 8786], [1750, 8745], [2431, 4942], [1182, 2811], [2240, 6128], [5034, 6776], [3664, 6570], [4875, 5965], [1703, 5142], [2272, 7514], [6687, 10653], [6656, 11340], [990, 9407], [8208, 11028], [5405, 6130], [5150, 11273], [3716, 9362], [7293, 11402], [2819, 11066], [2260, 7130], [1539, 7370], [4400, 9994], [921, 2073], [2042, 11374], [5274, 9969], [7915, 8123], [2490, 8531], [597, 8550], [2092, 7704], [1657, 2114], [4961, 8691], [7817, 10217], [653, 3197], [2337, 5256], [721, 7273], [4730, 5560], [4221, 6622], [680, 4239], [7711, 10171], [1539, 9598], [835, 4527], [1915, 11575], [9819, 11245], [2730, 5308], [5813, 6059], [235, 10389], [4779, 5802], [295, 4778], [1158, 6873], [2806, 9275], [2407, 2588], [5584, 10144], [8445, 9762], [506, 6129], [3236, 5072], [5438, 6562], [1095, 2737], [5444, 9760], [6755, 7107], [1526, 5175], [6197, 8277], [7195, 7379], [1, 7310], [4636, 10755], [6790, 9545], [4135, 4545], [9826, 10480], [2768, 3856], [7711, 9366], [2950, 9000], [25, 5425], [3130, 7655], [514, 11251], [5751, 10792], [2790, 4554], [6730, 10618], [792, 4025], [951, 8219], [1818, 8558], [8602, 9695], [3050, 8830], [4735, 7327], [1034, 7695], [4697, 11007], [5416, 10694], [1464, 6525], [404, 7299], [2202, 10426], [8910, 10979], [2899, 5628], [3149, 11438], [1458, 8962], [9431, 9927], [6566, 9813], [4658, 8800], [4704, 9145], [4539, 6634], [7376, 8864], [3205, 6085], [2709, 8887], [431, 6089], [1259, 2336], [4450, 5064], [168, 791], [5840, 6676], [4834, 6932], [6344, 7118], [6019, 11522], [489, 2280], [2540, 3601], [4842, 10957], [348, 2829], [728, 2296], [382, 1659], [6328, 6615], [7535, 8520], [797, 3564], [3961, 10161], [9539, 9995], [5955, 6784], [9372, 11575], [3589, 8303], [2431, 7788], [3773, 10864], [1968, 10730], [947, 10678], [402, 6448], [1754, 6048], [10114, 11431], [5725, 7261], [5298, 5696], [2125, 7681], [6136, 6795], [6683, 6964], [6065, 8083], [158, 9471], [8741, 10173], [298, 8727], [4138, 5485], [9328, 10872], [1052, 10098], [460, 6022], [1489, 4437], [3734, 4089], [1210, 5022], [2325, 11125], [297, 7721], [3284, 6512], [577, 8492], [2559, 2846], [5986, 8325], [6736, 9577], [10003, 10637], [571, 3759], [1968, 6542], [980, 2466], [4183, 8237], [5704, 8612], [977, 7830], [4425, 7770], [3769, 6153], [6260, 9998], [2767, 3899], [1619, 8990], [5299, 7745], [347, 10817], [774, 10884], [9423, 9954], [7561, 9286], [1210, 7250], [699, 1850], [241, 972], [2768, 4474], [7989, 11426], [4226, 10162], [1539, 2995], [2882, 11177], [7240, 7366], [1168, 3991], [4554, 9469], [925, 10649], [1350, 3473], [6733, 9255], [5024, 11081], [2285, 7888], [1075, 11347], [887, 11296], [4275, 7021], [758, 2780], [6826, 8665], [702, 11516], [10427, 11099], [7916, 9985], [7446, 7592], [5536, 9162], [4144, 5225], [1300, 5988], [2488, 10095], [2142, 3042], [2295, 10454], [7496, 10338], [6775, 7572], [1059, 6276], [9266, 11417], [998, 8252], [5533, 5831], [9638, 10242], [2009, 6835], [6398, 11005], [5658, 11195], [2068, 5163], [7150, 10051], [636, 3325], [2408, 8237], [9290, 9909], [7228, 8429], [1877, 4814], [9060, 10386], [1746, 1887], [1090, 6686], [5004, 5867], [814, 5290], [7476, 8908], [1316, 6440], [1526, 7216], [5015, 9409], [2873, 6472], [7160, 10365], [4137, 9665], [3149, 11251], [2676, 9341], [3041, 7776], [5700, 7233], [552, 10393], [3568, 9922], [796, 6589], [9271, 10956], [519, 1585], [1205, 5296], [9109, 10628], [8489, 10920], [6739, 10493], [2169, 8197], [4373, 5596], [882, 2576], [3412, 6349], [8166, 8954], [2660, 4270], [3284, 10513], [9889, 10187], [7981, 9174], [3967, 4127], [13, 5547], [1498, 4013], [11026, 11353], [9940, 10906], [1284, 3495], [1502, 11302], [3548, 8115], [3085, 6139], [2777, 8238], [1404, 2099], [282, 1241], [3903, 9969], [4020, 4138], [10494, 11465], [3015, 4619], [1285, 9732], [2930, 6201], [5421, 10046], [5882, 8189], [7186, 10781], [92, 10916], [4631, 5231], [157, 9059], [2454, 9655], [928, 2520], [4566, 8219], [6255, 10622], [916, 10804], [1939, 10902], [1627, 2679], [2043, 8973], [8080, 8375], [2166, 6340], [853, 6668], [820, 10692], [414, 5840], [3365, 4974], [5768, 10130], [5448, 10714], [7571, 9437], [4980, 9148], [2595, 6453], [3682, 10508], [3773, 9872], [370, 2535], [5672, 7389], [2802, 9183], [9739, 11316], [1747, 8049], [470, 3116], [4081, 11156], [5602, 11531], [1562, 7515], [8561, 10526], [1581, 5313], [1175, 4625], [4736, 9138], [3578, 6371], [1047, 5379], [400, 1596], [5157, 10134], [3949, 8004], [5384, 7107], [1490, 2916], [7682, 10557], [4005, 11319], [239, 4122], [1020, 4687], [1524, 1746], [9763, 9808], [4448, 8856], [274, 6560], [2977, 7844], [1012, 3291], [6125, 7492], [1312, 6966], [5176, 8282], [2903, 8834], [317, 8135], [5174, 7455], [8795, 9767], [411, 4764], [1011, 9455], [4280, 7178], [311, 1150], [1596, 3692], [1867, 3963], [1846, 3086], [4112, 8533], [1242, 1659], [4638, 7825], [5166, 10196], [1245, 1930], [3736, 9185], [6069, 9438], [2218, 8327], [5193, 5603], [1428, 10682], [1110, 5677], [5624, 8041], [5025, 7712], [2908, 5771], [6565, 9992], [514, 7494], [6771, 7616], [298, 3897], [3563, 10546], [2477, 5935], [2379, 2394], [362, 11237], [1014, 2532], [782, 2963], [2502, 6931], [1592, 8430], [5389, 8524], [1810, 9821], [6701, 8725], [8, 2788], [5916, 11424], [7786, 9701], [6162, 8447], [6886, 7724], [6447, 11060], [4360, 7830], [1528, 3692], [6354, 8617], [5449, 6296], [6101, 10423], [5416, 10320], [1964, 4222], [5847, 6342], [921, 1967], [833, 6284], [3675, 4694], [4974, 6188], [3912, 10299], [8435, 10497], [7026, 10363], [4841, 10762], [3535, 7343], [5508, 9505], [2263, 3508], [304, 9323], [2329, 5259], [3506, 5824], [856, 9836], [3344, 7748], [6341, 7227], [3530, 3966], [5455, 9120], [7366, 10404], [611, 7753], [5764, 10629], [1600, 4103], [3378, 9961], [2377, 5680], [410, 6716], [6136, 9454], [6104, 9916], [2331, 7964], [3329, 6312], [1063, 1619], [6625, 8864], [2056, 9422], [5165, 5732], [3262, 4309], [5851, 8689], [6231, 8910], [6281, 8273], [7843, 8649], [5531, 7021], [985, 5119], [6308, 10096], [1717, 9175], [3443, 10736], [81, 9816], [1139, 2553], [125, 10088], [2019, 6507], [1427, 2431], [9114, 9980], [2695, 3114], [1392, 10546], [8823, 9050], [2510, 3334], [9879, 11540], [2631, 4792], [40, 3749], [4365, 10378], [886, 2457], [8045, 9887], [5144, 10116], [5853, 8361], [1591, 6218], [9383, 10555], [691, 1989], [2314, 6024], [6347, 8869], [2116, 5285], [9927, 10426], [4139, 6810], [120, 8589], [2000, 7554], [4975, 11246], [1778, 3011], [1301, 2857], [2949, 9423], [6120, 6611], [185, 10115], [1547, 3263], [3105, 6903], [6174, 10230], [2639, 11045], [203, 7661], [2104, 7503], [2159, 7210], [2823, 7190], [3098, 9115], [5183, 11518], [135, 6214], [257, 7143], [9969, 10628], [3923, 8474], [4647, 8505], [6486, 7469], [6699, 8516], [3115, 9469], [873, 9334], [6827, 11145], [9119, 11397], [3360, 7021], [10715, 11357], [2202, 4254], [7931, 9919], [4045, 4091], [7460, 8055], [390, 6332], [3361, 6842], [2055, 4177], [1210, 6071], [3696, 8818], [2630, 9023], [9390, 9766], [5966, 8722], [8602, 8784], [2475, 5702], [1270, 9505], [6299, 7619], [5583, 8203], [2818, 6041], [3871, 4096], [8045, 11310], [9011, 10120], [697, 6610], [1807, 5953], [3436, 8305], [6047, 10000], [5292, 8404], [9495, 9940], [8872, 10715], [2862, 8218], [3614, 3881], [4453, 7834], [6311, 11012], [36, 1616], [3668, 4117], [740, 2900], [4872, 5724], [4976, 10211], [671, 4234], [3499, 10882], [6647, 10530], [3073, 5755], [4989, 6659], [3283, 6504], [2368, 3495], [1781, 10343], [3830, 6673], [602, 2535], [6111, 10900], [2775, 5539], [2926, 4954], [4923, 5258], [1220, 4799], [4363, 10519], [1777, 9820], [8434, 9684], [5225, 9760], [4509, 10344], [363, 2145], [11135, 11272], [5132, 6536], [3193, 3204], [5309, 11336], [496, 11534], [7454, 8128], [9630, 10649], [5837, 10674], [5966, 7112], [1935, 6622], [1100, 9204], [642, 8326], [8577, 8807], [4439, 8420], [1946, 4502], [948, 5400], [543, 7566], [7107, 11403], [8354, 10455], [5575, 5951], [6815, 10248], [2858, 6489], [4337, 11526], [3303, 6351], [7661, 8956], [2863, 10216], [4888, 6152], [8145, 8776], [1056, 2839], [4292, 11002], [4879, 8318], [5346, 10413], [3508, 10139], [3193, 8815], [2076, 8301], [2205, 4739], [739, 4071], [6613, 6707], [825, 3091], [1291, 11000], [4369, 9909], [453, 1233], [2973, 9980], [9449, 10964], [2324, 9534], [3754, 4129], [2470, 2943], [10618, 10887], [408, 7125], [6230, 9571], [4058, 7923], [2222, 8476], [2802, 4621], [4018, 10776], [5709, 7590], [8567, 10697], [2607, 8317], [2462, 4930], [8429, 10763], [2338, 3174], [6080, 9977], [2644, 6664], [1428, 6925], [2028, 2194], [5607, 7313], [5886, 10111], [8183, 10707], [1361, 9086], [1061, 2378], [930, 10031], [6062, 11276], [8266, 9429], [331, 2532], [8670, 9290], [979, 9169], [5552, 9484], [700, 3338], [2380, 8661], [8419, 8890], [1380, 7234], [1442, 1696], [2629, 2949], [4065, 11322], [6111, 8135], [378, 11396], [2742, 6798], [5429, 7549], [7237, 11364], [127, 10996], [1216, 2292], [2859, 4350], [4118, 7923], [5386, 7852], [4457, 5137], [2772, 11521], [3481, 4104], [6906, 8756], [6250, 7139], [4176, 8278], [5107, 5404], [5568, 10717], [1110, 10914], [1956, 9622], [3972, 9976], [6527, 9110], [1260, 4442], [6435, 9521], [1428, 6470], [6490, 9228], [4648, 9212], [8036, 9101], [2999, 9591], [1168, 1820], [760, 6721], [1510, 4967], [1687, 6357], [8787, 10174], [4463, 10563], [2715, 6799], [98, 10951], [5266, 8443], [7387, 11257], [6534, 9126], [9426, 11063], [6315, 7510], [2576, 7394], [217, 9303], [1112, 3766], [9919, 11346], [1175, 8252], [19, 2148], [8055, 9851], [3629, 5799], [1483, 5372], [4007, 9357], [6154, 6222], [4306, 5260], [1252, 2995], [1689, 2996], [984, 11286], [1562, 6604], [1290, 2698], [525, 6049], [9499, 11295], [3207, 6456], [2061, 5204], [5973, 9974], [5911, 9096], [4739, 8875], [2583, 7760], [1484, 8956], [271, 1564], [5056, 6488], [7583, 9990], [6482, 7757], [2417, 5374], [5553, 9923], [8858, 10309], [2962, 9634], [4615, 5210], [126, 8006], [2183, 9115], [2711, 9234], [2864, 5312], [969, 8668], [3858, 6924], [3116, 10451], [251, 3140], [497, 6579], [4382, 6520], [4565, 11108], [526, 8448], [7033, 10997], [578, 2222], [2809, 4450], [634, 5537], [670, 5194], [2967, 5790], [10475, 11122], [9506, 10506], [3116, 9296], [5827, 8189], [1030, 8920], [1231, 6924], [4063, 10308], [2721, 5734], [4271, 11011], [326, 11019], [277, 7370], [3210, 11560], [2553, 7089], [7695, 9776], [5608, 6546], [9987, 10028], [8521, 9360], [2805, 7310], [2531, 8993], [5038, 10365], [3833, 7752], [2083, 7325], [85, 7550], [4730, 9431], [1920, 9778], [2083, 10708], [1148, 10430], [8230, 8780], [7431, 11019], [10731, 11061], [5901, 8646], [7676, 10823], [5551, 9021], [2724, 5227], [1129, 8875], [2070, 6689], [2978, 8527], [3787, 11140], [6105, 6197], [3441, 10503], [2567, 7495], [3998, 9108], [1164, 10559], [4674, 11377], [71, 8941], [3987, 4031], [4233, 7470], [2689, 5391], [2931, 11340], [4053, 5782], [2397, 4990], [1676, 2978], [3544, 6844], [1649, 10200], [5572, 6461], [9118, 9942], [646, 11508], [7399, 11080], [6745, 10290], [3820, 5961], [2199, 7634], [6404, 9997], [2853, 6926], [3346, 10242], [1226, 11036], [6026, 9822], [3383, 8589], [2373, 6474], [5903, 8668], [7396, 7749], [1623, 10857], [3428, 4575], [4670, 10453], [876, 3460], [5518, 5824], [3370, 10986], [4560, 9504], [1587, 8167], [7414, 8705], [2438, 7219], [3544, 9072], [94, 6807], [594, 11294], [10139, 11441], [5743, 10264], [1013, 5801], [5759, 7734], [2170, 8343], [2729, 10027], [776, 9995], [6409, 9536], [108, 447], [3757, 4053], [3478, 4638], [7635, 9239], [2778, 3503], [4164, 8349], [9252, 10076], [2595, 4550], [3990, 6506], [884, 9713], [7355, 10353], [1319, 9641], [1563, 10001], [5081, 10680], [944, 1069], [7000, 8849], [5601, 10157], [2247, 9852], [6285, 6625], [2362, 7358], [2860, 11018], [3980, 4633], [2232, 5033], [5162, 5542], [748, 3759], [2761, 11012], [7547, 9368], [4000, 9422], [1988, 11439], [481, 2102], [1287, 10079], [609, 6983], [4408, 7904], [1435, 6567], [4081, 11481], [204, 2733], [8915, 9851], [2403, 6958], [350, 8974], [8574, 9558], [5916, 7293], [1564, 5634], [1657, 2415], [9177, 10790], [6599, 7700], [2269, 4110], [1114, 7276], [2454, 9525], [6590, 9085], [6903, 7330], [181, 655], [9766, 10781], [1242, 9905], [3482, 9967], [3425, 9433], [7279, 10061], [1890, 10880], [4968, 11287], [211, 2749], [4162, 6693], [912, 6768], [4217, 6400], [5614, 9183], [2201, 5265], [2001, 8617], [2190, 5106], [5514, 8952], [2251, 8011], [4680, 8726], [9341, 11140], [506, 6430], [3299, 3443], [3266, 7467], [1624, 9017], [3264, 4388], [3236, 8756], [213, 8056], [1046, 8811], [4485, 5225], [10766, 11403], [1755, 10439], [7023, 11545], [7944, 11366], [728, 3402], [110, 10937], [848, 4258], [2009, 4290], [8454, 10125], [5390, 9424], [5025, 8737], [3182, 7365], [37, 5736], [1573, 4891], [4266, 5487], [2251, 3823], [2937, 5282], [1189, 1518], [7164, 11376], [2429, 5815], [4550, 8629], [9240, 9529], [3858, 7355], [7096, 9929], [2410, 11400], [5908, 10703], [5502, 10015], [505, 7652], [680, 5963], [10040, 11275], [2015, 7868], [1829, 4480], [4203, 11150], [4313, 4902], [5123, 10369], [10143, 11373], [1045, 7781], [6812, 10520], [2638, 4060], [5057, 5585], [6930, 8297], [25, 11337], [72, 4013], [4249, 10744], [6895, 11494], [2251, 6051], [916, 2648], [5489, 8625], [1817, 9731], [3749, 9640], [1161, 8114], [2899, 4774], [3069, 3465], [3900, 9809], [2222, 10948], [2439, 3069], [3552, 6093], [2306, 7643], [218, 10604], [6823, 10278], [7822, 11480], [1253, 8053], [3514, 6740], [1272, 5851], [4910, 11550], [6775, 9483], [4407, 10929], [4508, 4565], [2075, 7114], [3069, 8726], [5247, 11320], [4127, 4873], [4782, 9271], [5754, 6398], [3251, 8208], [1136, 9346], [2918, 5524], [855, 6852], [4931, 6361], [550, 6216], [1042, 6678], [7883, 8349], [5176, 9575], [608, 3942], [3374, 8958], [3157, 4759], [688, 4645], [5151, 5546], [3349, 11345], [4089, 8903], [2621, 8162], [7388, 10972], [2192, 5016], [4052, 9775], [3923, 6921], [6166, 10664], [4048, 5869], [2425, 7469], [6162, 7512], [1463, 8778], [4852, 6603], [5633, 7168], [5342, 10402], [8528, 9376], [2430, 11196], [3134, 9097], [3848, 8440], [6062, 6527], [4477, 10863], [1385, 5862], [1453, 3522], [295, 4892], [10992, 11401], [2833, 4796], [744, 11319], [1005, 9374], [9346, 11297], [1245, 8834], [627, 9953], [3982, 6696], [5014, 11044], [6788, 9613], [1337, 8800], [2581, 7177], [150, 3383], [3259, 3857], [2484, 7244], [4046, 7620], [607, 4790], [6961, 7097], [579, 9158], [6365, 9695], [2517, 6603], [2983, 11506], [6250, 9156], [1984, 9523], [11447, 11550], [47, 602], [4766, 6404], [3993, 10618], [5526, 6092], [4218, 9016], [5682, 6605], [2067, 8245], [231, 5792], [1031, 6407], [4828, 6501], [11151, 11407], [4334, 10130], [6768, 10435], [5698, 10521], [11109, 11181], [3702, 6655], [2836, 9924], [2299, 4057], [3119, 10212], [5667, 8175], [2649, 11229], [3433, 11311], [2766, 6152], [842, 3852], [6587, 10804], [6525, 9926], [4728, 7401], [779, 9919], [2334, 9124], [483, 8645], [3700, 6178], [6145, 6672], [766, 8179], [5835, 6446], [3382, 10972], [5094, 8663], [6685, 7525], [706, 7347], [5584, 8298], [3244, 4622], [1406, 2096], [258, 6433], [1975, 4468], [3212, 5084], [3988, 5305], [5181, 7504], [1470, 3020], [7137, 7807], [4207, 7298], [2161, 10485], [1841, 11069], [3737, 4905], [5352, 9079], [3480, 6969], [7070, 9968], [4670, 6241], [5636, 11467], [9736, 9872], [9493, 10114], [4248, 9177], [8461, 11401], [7033, 7053], [8487, 10370], [1456, 2159], [296, 11397], [4872, 8977], [755, 3051], [4681, 5245], [5030, 10317], [4345, 9460], [3460, 8545], [2474, 4542], [134, 3872], [1409, 4972], [5925, 11169], [1715, 8462], [1849, 5244], [4894, 9675], [2222, 3540], [3676, 6857], [3842, 8058], [1561, 1579], [2371, 7046], [3744, 5271], [6698, 10338], [8260, 10714], [4430, 8228], [760, 10161], [5328, 9378], [8687, 10781], [3733, 6610], [6006, 6812], [6193, 8890], [5903, 8562], [6214, 6734], [10300, 11095], [3881, 4229], [7702, 8881], [7027, 9466], [1831, 3510], [1392, 6846], [1225, 1256], [10164, 10453], [9758, 9765], [8977, 9200], [8445, 9339], [1974, 2283], [3684, 9727], [1602, 6841], [1949, 4670], [1140, 8473], [5827, 9856], [4032, 10410], [6885, 9009], [1193, 5855], [5678, 9733], [5838, 7736], [2906, 6400], [7197, 7783], [982, 4854], [3308, 3936], [1718, 11338], [7785, 7953], [66, 8036], [432, 9325], [253, 7862], [1151, 9012], [3988, 7078], [4853, 5836], [89, 291], [5508, 7228], [5415, 11201], [1363, 9834], [2273, 6837], [2667, 6010], [1237, 11415], [275, 2144], [1331, 4634], [2480, 3151], [3979, 9594], [2534, 3387], [2291, 3629], [2222, 7996], [1814, 10645], [3223, 4363], [3748, 9846], [2833, 6837], [2750, 5082], [4615, 5267], [1533, 7370], [1194, 1488], [6667, 10196], [7262, 7373], [2959, 8639], [5954, 8045], [4364, 11283], [1965, 11164], [432, 8520], [3670, 6930], [4169, 8563], [1958, 9993], [11075, 11383], [10239, 11111], [3950, 9953], [842, 3665], [5154, 5925], [2232, 5277], [3076, 3912], [3420, 3722], [894, 3074], [7024, 10591], [6497, 11074], [7140, 10951], [4060, 7465], [271, 816], [6585, 10140], [1200, 2033], [1229, 6935], [6631, 9734], [9284, 9403], [5044, 10991], [7198, 9027], [3867, 4010], [9648, 9865], [1834, 10842], [2920, 5627], [1278, 3013], [8459, 11168], [1293, 6704], [6141, 8944], [857, 7305], [3904, 8399], [3379, 6299], [359, 9280], [1916, 9312], [1730, 10088], [3535, 3806], [6895, 10315], [3652, 5145], [1279, 5493], [5492, 7717], [4024, 10386], [6080, 7887], [8444, 9705], [7451, 9449], [6456, 10618], [5114, 5290], [8992, 10476], [2278, 10832], [1810, 8512], [504, 5847], [3761, 8471], [6032, 7846], [5699, 11578], [2743, 5684], [7684, 10367], [2975, 4529], [4108, 8929], [5625, 6152], [2602, 5452], [1791, 6176], [8554, 10600], [8948, 10527], [2050, 7568], [486, 4113], [3533, 5961], [3555, 7440], [2034, 2901], [8976, 9542], [4191, 4618], [8379, 11538], [36, 2372], [5521, 8431], [10756, 11309], [3652, 10756], [6494, 9166], [2413, 9313], [1948, 10674], [7540, 10214], [539, 7130], [3372, 5454], [4091, 4387], [5703, 11296], [6167, 9710], [5262, 7389], [4767, 10793], [7093, 9875], [7216, 7996], [4348, 8365], [1982, 5720], [8435, 11416], [2448, 4961], [620, 9539], [6396, 10886], [643, 9708], [8229, 10035], [672, 8948], [882, 3308], [3970, 5157], [5737, 8971], [637, 9893], [6022, 11584], [36, 7983], [581, 5797], [3193, 5465], [6015, 8915], [1506, 9524], [919, 5792], [5167, 9757], [1647, 1835], [1650, 2106], [6378, 9906], [1376, 7199], [619, 4776], [716, 8092], [1096, 8313], [26, 1229], [739, 9015], [2430, 5829], [1831, 11162], [3075, 6533], [4981, 7473], [2984, 10552], [7333, 11159], [1354, 2313], [2374, 4392], [7143, 8783], [7138, 8439], [4674, 8669], [9850, 10940], [5514, 9814], [1816, 3283], [2991, 7185], [7409, 9841], [90, 998], [781, 5053], [6223, 11442], [27, 6311], [5357, 9049], [104, 8975], [6883, 7516], [2492, 8935], [4481, 5214], [8089, 8819], [10549, 11099], [6220, 11144], [6822, 9492], [862, 7112], [4941, 10302], [3612, 5933], [680, 11013], [181, 7128], [4135, 5708], [7519, 10359], [5445, 11498], [2580, 11384], [8774, 9272], [274, 7292], [6081, 7952], [8417, 8476], [2725, 10984], [3006, 10445], [1626, 8797], [9628, 11254], [2501, 8997], [4982, 4984], [3681, 6827], [3948, 4727], [1711, 4182], [4106, 6067], [995, 8930], [780, 10439], [5068, 8141], [7590, 10545], [6351, 9102], [5037, 6576], [5609, 8465], [8714, 11449], [4311, 9101], [3440, 5610], [1675, 8258], [2040, 6693], [4497, 5292], [1102, 8396], [7461, 8795], [2408, 5399], [9486, 11147], [3158, 3645], [8198, 8307], [6952, 9857], [7454, 11007], [5577, 9307], [1258, 3624], [6335, 8168], [2813, 9999], [3771, 11200], [5731, 6741], [1570, 11066], [4731, 6812], [1333, 4737], [1838, 5404], [3789, 9527], [5069, 6807], [3833, 9045], [2954, 5693], [1331, 7293], [3793, 9646], [5966, 8486], [3297, 6032], [4725, 10380], [7412, 11131], [5199, 9482], [1949, 3141], [1861, 7458], [6742, 11336], [2446, 3947], [2700, 4995], [6306, 7773], [4279, 9512], [4659, 8979], [4072, 5247], [1383, 7833], [1968, 4322], [799, 7782], [694, 3824], [7486, 9740], [5490, 5874], [2255, 6981], [2258, 10662], [6272, 9293], [634, 2992], [1496, 8649], [2519, 7993], [690, 3301], [4058, 7419], [5572, 10787], [5656, 9734], [9052, 9484], [337, 11292], [5796, 9714], [4017, 4385], [6415, 11449], [6056, 10607], [1059, 8244], [1429, 7023], [6785, 10982], [4347, 6017], [1489, 7828], [4072, 4092], [5444, 8508], [2025, 7808], [4346, 6546], [1670, 9337], [3974, 4688], [1890, 11555], [10104, 11451], [3468, 6048], [6430, 9478], [2127, 10744], [5614, 9858], [1388, 7372], [4366, 10581], [851, 3003], [3908, 9703], [5856, 9391], [384, 10707], [3488, 4421], [1541, 7587], [416, 796], [3647, 8615], [2742, 6294], [8844, 11009], [8875, 10322], [1129, 6330], [977, 8188], [1316, 8408], [2400, 5776], [7513, 9977], [218, 9856], [5292, 7713], [3182, 9195], [8101, 10147], [216, 2613], [2014, 5740], [3106, 3723], [1213, 7906], [10017, 11051], [2388, 7644], [6531, 8375], [5882, 7929], [1605, 4754], [390, 7869], [1425, 9482], [3011, 3836], [4444, 6276], [3687, 6859], [770, 4303], [6463, 11065], [3815, 9488], [3228, 5756], [1258, 7275], [5267, 5562], [1421, 8959], [1478, 5329], [7639, 11405], [4714, 7076], [943, 1787], [3346, 7697], [8017, 10799], [6015, 7118], [5452, 7944], [2682, 4684], [4232, 10715], [3244, 6639], [1993, 7091], [508, 2209], [1652, 6798], [6411, 10501], [2343, 10853], [1681, 6038], [1304, 10252], [4609, 9884], [4832, 5203], [1028, 8102], [3361, 4191], [5749, 10567], [23, 8583], [5107, 7128], [2210, 9011], [2920, 10864], [5160, 10926], [8582, 11143], [3422, 5598], [800, 5242], [2536, 7491], [578, 6361], [3038, 8641], [7060, 11297], [7743, 10573], [3913, 8087], [6487, 11435], [3259, 7297], [3940, 9910], [3351, 10269], [946, 1280], [6344, 8094], [1604, 9359], [2904, 5793], [1816, 4519], [2186, 3298], [6169, 6780], [5171, 7678], [8887, 9096], [3056, 8816], [4496, 8263], [881, 3487], [1870, 10417], [2379, 6322], [3200, 5562], [11016, 11047], [904, 2158], [3555, 7416], [3620, 7811], [2958, 2996], [6292, 7530], [3269, 6830], [3264, 6486], [5017, 10594], [31, 8420], [86, 1711], [1208, 8985], [4972, 6687], [3144, 4849], [3235, 11383], [3261, 6188], [3145, 8457], [580, 2219], [3730, 9110], [2825, 6789], [3102, 5377], [4349, 10845], [4230, 9433], [8276, 10231], [613, 1578], [7920, 8906], [415, 7255], [22, 10936], [1409, 8867], [4101, 9962], [7671, 11585], [1133, 6717], [484, 8523], [1198, 7866], [2036, 8965], [4749, 8685], [7298, 9502], [4645, 7581], [8356, 8655], [2814, 8478], [1011, 5007], [9808, 11145], [4208, 7580], [355, 3390], [5148, 11585], [4954, 9090], [6511, 8341], [100, 5500], [2801, 10875], [1833, 7451], [312, 7076], [4942, 7171], [3013, 5281], [681, 7882], [2518, 4521], [1259, 1702], [4945, 10825], [1066, 1307], [5155, 5185], [1547, 1580], [1051, 10798], [6927, 10097], [8048, 10730], [1257, 4258], [911, 3621], [5926, 10697], [1033, 8714], [1757, 8745], [1931, 3448], [2068, 10327], [5428, 10420], [8377, 8727], [4645, 6776], [2336, 4665], [5365, 9317], [3922, 3937], [5852, 9435], [6447, 6612], [246, 7553], [1622, 9459], [1744, 10388], [1517, 4747], [9054, 11571], [675, 6912], [4143, 8228], [3505, 7971], [5564, 9153], [9428, 10469], [899, 10003], [6912, 11263], [467, 3176], [6845, 10041], [1898, 11205], [9665, 10412], [993, 2468], [5430, 10092], [8076, 10842], [268, 2966], [4870, 8183], [1847, 7483], [6184, 11463], [1349, 9458], [2479, 7925], [6018, 9481], [350, 10885], [107, 11127], [5260, 7587], [1717, 10793], [1966, 5081], [5722, 9338], [6611, 6962], [6139, 7906], [1839, 6437], [6690, 8194], [129, 8792], [714, 5281], [3413, 7577], [6905, 7035], [1329, 1612], [8173, 9970], [10112, 10296], [497, 10881], [301, 6805], [6185, 10129], [5306, 6777], [2849, 8932], [915, 1780], [44, 9623], [7117, 8611], [6642, 11536], [1979, 8295], [893, 7848], [7359, 8144], [6727, 6921], [2341, 6432], [2721, 6653], [3435, 5242], [603, 1858], [289, 9804], [7290, 9478], [2312, 11329], [567, 4830], [7031, 10715], [6687, 10905], [4476, 5919], [7445, 9766], [7373, 8200], [7779, 8888], [585, 5409], [3145, 4887], [2479, 2582], [3380, 7413], [1048, 10014], [2302, 10991], [6091, 7060], [3360, 10144], [4881, 10519], [2453, 4744], [10042, 11004], [2984, 10796], [2700, 4621], [4525, 5407], [3036, 10205], [801, 4071], [3709, 6541], [3533, 11011], [4366, 4596], [6619, 9781], [3503, 5884], [4184, 8497], [5082, 10401], [2532, 2943], [9068, 10394], [3434, 11382], [5208, 5787], [2271, 4107], [99, 8875], [4419, 8744], [4207, 10551], [3770, 10550], [2497, 3107], [2142, 11052], [117, 2284], [2641, 6269], [1204, 10503], [366, 2988], [8624, 9572], [765, 7423], [7616, 9782], [7149, 11070], [272, 3326], [2264, 3286], [2763, 4919], [2668, 7311], [173, 6730], [3409, 8477], [24, 6607], [888, 2511], [2562, 3882], [6575, 8704], [2129, 4000], [749, 8768], [2598, 9174], [1308, 4036], [1073, 11309], [2248, 2379], [3393, 3406], [1899, 7860], [557, 8948], [3112, 8082], [4853, 6511], [1993, 10905], [8526, 9013], [931, 10852], [4238, 4895], [626, 10216], [468, 3214], [4482, 5255], [3040, 4981], [1142, 2404], [4374, 7415], [2946, 3067], [3202, 7194], [6113, 9181], [3255, 3822], [3444, 6727], [9388, 10856], [5393, 10023], [3872, 9648], [1752, 10442], [7820, 9911], [476, 9117], [2635, 7497], [2064, 8462], [223, 8671], [10126, 10970], [2370, 6290], [9040, 10523], [191, 9887], [9717, 9984], [1307, 6012], [9307, 11052], [8281, 10656], [5361, 10835], [5038, 5486], [9549, 11339], [9426, 10185], [6310, 8540], [2743, 4936], [739, 3461], [3722, 11178], [613, 5042], [747, 1070], [2325, 9149], [6528, 7679], [10519, 11022], [6963, 7607], [3141, 11398], [4349, 4860], [1761, 9750], [5257, 6698], [1176, 6845], [2487, 10608], [2482, 3848], [7764, 8824], [6090, 7453], [3875, 11393], [5315, 10840], [2068, 8180], [2104, 3673], [4213, 11388], [3667, 7657], [2815, 8380], [6979, 8490], [4897, 8233], [437, 5351], [965, 7722], [7436, 8362], [96, 5058], [4010, 10655], [3146, 8335], [340, 6172], [6475, 6863], [9809, 11397], [1456, 8713], [9057, 10072], [4601, 4680], [9093, 9729], [9838, 10637], [3986, 9480], [1890, 8416], [5312, 9387], [1544, 7779], [5343, 8700], [3203, 5055], [3886, 9249], [584, 9134], [7805, 10272], [2731, 5999], [675, 2082], [2873, 8334], [3002, 4018], [385, 8924], [3776, 7576], [2943, 7575], [600, 2847], [4366, 7792], [1246, 7159], [6698, 10826], [126, 712], [4363, 7494], [5134, 7371], [3838, 4640], [5913, 6355], [2052, 8720], [6506, 7623], [1712, 5619], [5855, 6350], [5882, 8173], [2735, 5717], [1962, 9177], [6532, 9975], [2358, 3515], [7127, 7152], [8118, 10745], [4042, 5574], [1241, 7165], [1545, 3412], [4716, 4764], [1262, 11425], [1513, 2376], [2807, 3526], [4929, 9194], [4958, 7680], [4175, 7042], [1697, 7566], [5277, 9877], [7347, 11248], [6705, 7809], [2312, 6149], [3524, 9152], [1719, 9018], [248, 1590], [3585, 10559], [810, 2791], [2981, 11384], [7158, 10945], [8395, 9309], [8744, 10217], [3111, 3506], [2744, 8408], [4508, 6289], [8212, 10356], [3759, 10897], [1240, 5004], [8855, 10987], [82, 2991], [6809, 7758], [1086, 4537], [1148, 6169], [7808, 9714], [2135, 10020], [2078, 9486], [2882, 10974], [2101, 3993], [5277, 5689], [4998, 6274], [2223, 3424], [1042, 5369], [2907, 5554], [5945, 7316], [3775, 8747], [1189, 1632], [8820, 11501], [4357, 8348], [3789, 9584], [6872, 10335], [3520, 10857], [7964, 8318], [3149, 5437], [5656, 7563], [6058, 11515], [89, 9773], [1262, 6432], [4935, 11186], [2917, 3589], [924, 9820], [3845, 6079], [6245, 8308], [297, 2525], [5553, 6280], [5062, 9426], [1939, 2860], [9884, 10445], [2869, 8429], [5080, 7753], [1821, 4302], [1434, 7074], [3058, 9082], [9844, 11046], [3278, 7136], [4214, 4606], [1095, 1192], [498, 3188], [5292, 8575], [7661, 10737], [4727, 9328], [3674, 4103], [4205, 10155], [6476, 9530], [9496, 9932], [1449, 4322], [5695, 5932], [4910, 8631], [3007, 7962], [1639, 7829], [4528, 6085], [8230, 9325], [330, 10528], [1827, 4093], [299, 2547], [1471, 2768], [163, 5692], [3747, 8903], [4624, 9176], [1098, 10107], [3211, 8142], [1753, 5083], [5977, 10906], [9282, 11292], [4323, 10941], [6315, 10901], [1894, 7947], [4333, 8596], [2458, 3559], [5293, 11378], [2705, 9852], [742, 1962], [6939, 10701], [776, 7962], [4035, 4997], [707, 9323], [7035, 10409], [3389, 10484], [4659, 7076], [3394, 10828], [3201, 10433], [5961, 6589], [6991, 10110], [587, 8440], [1232, 11396], [5621, 9150], [1915, 8420], [5841, 11368], [2657, 3395], [855, 2778], [1472, 7850], [1289, 8897], [9442, 10769], [9254, 11472], [2804, 3041], [3125, 5311], [3860, 5531], [1712, 4277], [3253, 10192], [8284, 11385], [8501, 9922], [1443, 3298], [940, 11345], [3516, 4186], [2091, 10689], [2961, 9791], [6189, 7513], [9521, 9722], [8960, 11375], [340, 10791], [3301, 4197], [5104, 7668], [9543, 11201], [1241, 9206], [8061, 10000], [10022, 10647], [1576, 11182], [2644, 11023], [4041, 7390], [3353, 3606], [1455, 6691], [6246, 8397], [5408, 7298], [7371, 8772], [8138, 11159], [1827, 5516], [3561, 6938], [3124, 6937], [6121, 6416], [3377, 5131], [11062, 11099], [2442, 4099], [1225, 10551], [2978, 4079], [65, 6957], [8077, 10102], [5075, 8027], [6566, 9691], [9998, 11350], [2646, 10695], [3675, 4946], [1622, 11126], [3857, 10090], [1304, 6121], [8380, 11042], [6143, 11251], [1649, 8785], [3793, 6133], [5632, 5851], [4696, 8381], [3140, 11203], [3510, 3566], [934, 3555], [3236, 4495], [1646, 2071], [1262, 9278], [9217, 11135], [530, 9329], [2354, 7261], [4467, 5296], [4688, 10368], [731, 2445], [2017, 7841], [7454, 9722], [3295, 8458], [9570, 11438], [1576, 7344], [762, 11557], [4155, 6872], [8802, 9580], [3033, 4516], [5967, 11560], [386, 5793], [516, 11501], [7419, 7634], [6478, 9820], [2679, 8899], [4623, 6159], [7045, 11365], [2274, 11065], [6577, 9799], [7387, 8850], [6236, 7254], [969, 11254], [5568, 10538], [5891, 9471], [2180, 4233], [3544, 11040], [6878, 9912], [5811, 6509], [5656, 9604], [3634, 10933], [4358, 4548], [1584, 4552], [240, 4813], [2136, 5065], [5349, 11524], [7966, 11536], [4291, 6709], [6777, 9456], [2388, 5286], [4354, 10441], [6558, 8594], [7454, 8917], [2072, 4491], [3224, 8941], [1137, 9875], [2073, 7345], [8736, 10407], [4865, 7920], [1968, 3387], [197, 8499], [4555, 6940], [2194, 8803], [189, 7857], [934, 1595], [1278, 2159], [5708, 6330], [1164, 4501], [2654, 3311], [2401, 5871], [7475, 10144], [6599, 10473], [2115, 3033], [4544, 5246], [10211, 10787], [2329, 6934], [1556, 11148], [4548, 6119], [2924, 8275], [2953, 3351], [7151, 7953], [4384, 11380], [2760, 2956], [8637, 10027], [607, 5522], [4094, 4636], [2602, 5753], [2227, 3624], [4716, 10806], [275, 6446], [4399, 8655], [2128, 2864], [2346, 10671], [918, 7077], [9950, 10049], [5642, 6807], [6767, 11346], [3806, 5108], [2006, 5318], [7510, 9175], [5674, 9728], [5551, 8574], [7132, 9000], [222, 3028], [3174, 7268], [1935, 9989], [5381, 9102], [3263, 10723], [1000, 8957], [6664, 10817], [537, 7735], [6698, 9647], [2150, 4666], [7005, 7323], [1766, 7709], [675, 6164], [685, 6852], [3018, 7105], [549, 7745], [4814, 9405], [965, 2705], [4912, 10694], [8303, 10100], [5092, 9349], [6618, 10068], [635, 5984], [53, 344], [6768, 10012], [5985, 10505], [3583, 8203], [3177, 6761], [4518, 5448], [3076, 3676], [2869, 5827], [3335, 11484], [7213, 10254], [6719, 9719], [6186, 7004], [10270, 10538], [5597, 6609], [7501, 10886], [2136, 5683], [2664, 8054], [1489, 1900], [8204, 11568], [4668, 9529], [1206, 11411], [1977, 4872], [5810, 11039], [2257, 7141], [1140, 6627], [2224, 11165], [5623, 8180], [5595, 6132], [1070, 9271], [6427, 8914], [1383, 10899], [5022, 9653], [2713, 7542], [2747, 7126], [7439, 8853], [9068, 10451], [10344, 10995], [9217, 9793], [7696, 9418], [3486, 7465], [2154, 2825], [4415, 7928], [2028, 10822], [3086, 9975], [1742, 10236], [71, 6884], [5785, 11517], [9463, 10199], [3549, 8164], [927, 1392], [1481, 2732], [307, 6602], [2669, 7593], [2913, 7953], [1481, 6115], [3227, 9052], [2322, 6731], [8516, 8783], [4223, 11491], [165, 2762], [5336, 10351], [5649, 8596], [7419, 9675], [1254, 3857], [9528, 10974], [5123, 6271], [6976, 9105], [339, 4231], [1438, 9801], [7076, 9686], [6670, 8998], [3055, 10638], [3487, 6131], [3702, 8005], [2867, 10587], [873, 4138], [8006, 9593], [8023, 10728], [3334, 7020], [5725, 6497], [1205, 9980], [5750, 8247], [521, 6315], [2207, 9201], [7967, 10769], [5870, 6097], [4011, 9110], [21, 5211], [9771, 10678], [2694, 7784], [4972, 8330], [3917, 9448], [2348, 11311], [555, 8528], [8490, 9009], [5710, 5815], [1068, 3451], [4220, 7005], [1500, 3108], [6233, 7842], [1229, 2056], [1163, 3688], [2592, 10890], [3867, 8580], [376, 5560], [5828, 6975], [2875, 11178], [6411, 6801], [10084, 10801], [934, 7019], [230, 2702], [2706, 4761], [4550, 8987], [1866, 7753], [8065, 10149], [4789, 11255], [10143, 11381], [6129, 7088], [1745, 3262], [3608, 6784], [3047, 8437], [8067, 10195], [6097, 7550], [2931, 4290], [2327, 9279], [149, 269], [4789, 8222], [4730, 11025], [4138, 6949], [8835, 9020], [6120, 6221], [329, 8723], [3414, 3885], [2378, 9217], [1357, 2749], [10966, 11017], [8036, 10508], [2186, 6014], [2561, 5137], [2822, 9608], [4061, 5389], [6208, 8670], [5050, 5903], [4924, 9736], [2897, 10721], [636, 3366], [1694, 2519], [7078, 11155], [509, 7728], [530, 2189], [2902, 8032], [1775, 6830], [1336, 10166], [1250, 8894], [3368, 7273], [2053, 6774], [3264, 6169], [275, 10715], [1092, 10937], [1137, 3540], [7566, 11094], [2549, 7355], [1239, 7200], [178, 7749], [6430, 9779], [8727, 10375], [270, 10721], [661, 3961], [1328, 3458], [2787, 7119], [8351, 11027], [794, 2770], [2777, 11312], [6509, 11011], [4217, 4343], [413, 3078], [757, 7806], [3522, 3552], [10834, 11224], [1128, 5275], [3634, 7176], [3857, 8911], [1149, 3119], [4411, 10251], [6534, 9728], [395, 5131], [10926, 11163], [2387, 11507], [8185, 9395], [3142, 10851], [186, 4203], [277, 10737], [2677, 8048], [347, 11476], [7374, 10119], [2011, 5743], [4626, 11344], [9056, 9099], [6597, 10427], [1802, 5569], [766, 10147], [1958, 6082], [456, 2751], [1380, 5876], [9628, 11018], [3635, 11134], [5800, 8578], [6703, 10072], [2104, 2120], [5247, 7840], [970, 3911], [3872, 7290], [3619, 9096], [66, 5198], [157, 4562], [2053, 4814], [375, 5953], [2462, 2767], [4677, 5216], [4362, 10308], [9081, 9694], [2768, 10394], [3143, 9517], [7054, 10679], [2768, 3978], [8843, 11034], [1270, 10188], [4916, 8615], [872, 7109], [1571, 4666], [6092, 11207], [9418, 9464], [4688, 5001], [1166, 6832], [9144, 11147], [5099, 6787], [2506, 4917], [9290, 10218], [574, 2756], [1852, 4127], [644, 1997], [7123, 8914], [2723, 6837], [6093, 11028], [4252, 8985], [5150, 10135], [1685, 1920], [5153, 10406], [6199, 11454], [1379, 8229], [6235, 10330], [7197, 7523], [2240, 10251], [1565, 10836], [2496, 7962], [1126, 7002], [4321, 8748], [1771, 10712], [7313, 8637], [692, 4266], [4948, 8846], [674, 9352], [858, 4743], [5916, 9237], [3667, 7177], [8483, 11414], [274, 5446], [3195, 8121], [55, 3830], [53, 3003], [9540, 10342], [5524, 10884], [5689, 6979], [2884, 7670], [4866, 6188], [5120, 10242], [7463, 11183], [457, 11165], [1723, 10267], [9161, 10696], [8851, 9716], [6482, 7554], [1321, 10452], [469, 11175], [1807, 6181], [7013, 10573], [4580, 6706], [2144, 2568], [1617, 10221], [908, 4806], [7532, 8694], [1054, 11047], [3294, 11109], [1838, 11129], [2554, 4129], [159, 2998], [8503, 8602], [2701, 6808], [1770, 9682], [497, 2993], [151, 6520], [4354, 7302], [4631, 5890], [4352, 6475], [4283, 8590], [5809, 10063], [704, 9887], [8462, 9732], [2605, 10483], [5835, 9032], [9694, 10004], [263, 5980], [1302, 5083], [175, 3881], [3253, 4288], [2101, 5473], [2970, 5885], [2911, 4524], [941, 6043], [3964, 7497], [4715, 5187], [6982, 7072], [3090, 3708], [65, 5591], [373, 3492], [3678, 3878], [10214, 11329], [138, 10765], [1095, 6860], [7626, 10557], [1058, 7732], [5101, 11265], [130, 10123], [5388, 8289], [6446, 6688], [6157, 6585], [343, 4754], [3977, 7328], [1112, 7214], [6103, 10486], [2142, 4319], [825, 7157], [184, 7326], [2441, 8523], [4151, 8770], [2274, 6316], [10561, 11386], [6850, 10312], [1838, 2753], [1313, 4063], [9196, 11524], [1061, 9477], [1040, 8600], [2155, 8287], [2248, 8478], [4263, 5978], [9336, 10780], [6533, 11544], [3140, 5649], [4568, 9997], [2044, 3760], [2608, 5788], [2700, 8760], [1647, 3535], [5931, 10163], [2634, 10392], [960, 2605], [3816, 11301], [213, 1624], [1851, 6748], [5899, 11379], [3719, 4952], [7206, 10482], [2328, 10285], [9878, 10201], [5150, 6565], [1144, 8549], [6798, 8967], [363, 1568], [485, 9667], [10190, 11227], [6637, 11493], [2595, 5152], [4954, 6626], [3971, 9310], [3522, 11204], [7543, 11006], [1065, 2779], [4210, 4408], [1625, 7317], [3956, 4491], [65, 3981], [347, 2913], [8399, 8897], [2810, 8874], [5007, 5856], [8179, 10062], [1209, 5537], [2575, 2591], [1582, 4587], [4885, 7556], [4938, 11354], [2978, 9397], [1245, 11583], [2983, 7489], [10787, 11459], [2532, 2894], [949, 1641], [9503, 10273], [6979, 11206], [614, 10962], [3128, 3679], [9315, 10976], [8568, 9241], [8547, 9118], [4366, 4897], [1594, 7980], [785, 5367], [5852, 6971], [1225, 3387], [37, 11331], [11029, 11342], [7189, 8168], [2956, 10927], [3744, 6247], [3245, 4614], [2185, 2382], [4291, 6416], [7035, 7701], [435, 9125], [5505, 9492], [4760, 5174], [5917, 7716], [3732, 8115], [7818, 8312], [5511, 7028], [179, 4217], [5820, 7783], [3038, 10178], [1799, 2319], [2413, 3710], [860, 3797], [6147, 9117], [8692, 10946], [825, 8125], [541, 1950], [4708, 7993], [1592, 4096], [6335, 9518], [8384, 10012], [838, 1944], [4542, 6011], [1369, 7996], [6847, 10632], [804, 5743], [4200, 5493], [844, 8525], [9426, 11291], [1310, 1350], [6315, 7738], [3944, 11165], [1580, 2931], [5974, 7445], [3665, 5334], [1117, 1709], [1020, 1776], [182, 677], [116, 2309], [5683, 9898], [3164, 4759], [2529, 4019], [882, 10887], [1291, 5430], [3942, 10688], [5336, 9790], [112, 8202], [3025, 11016], [5590, 10838], [2311, 6011], [6079, 7619], [7763, 9678], [798, 5497], [1937, 9742], [7632, 10161], [1510, 7423], [6855, 10469], [3592, 10282], [1656, 10631], [2831, 10369], [2858, 6530], [1079, 1201], [6374, 10546], [3022, 11068], [7933, 10624], [8714, 11189], [5094, 6069], [1475, 7967], [4312, 5279], [2875, 3851], [9887, 11231], [6050, 7574], [4811, 6131], [1043, 4523], [919, 9183], [234, 9080], [4056, 4535], [3116, 3913], [4639, 10750], [5009, 9529], [2586, 10514], [6672, 10711], [5268, 10921], [1617, 10652], [7198, 10003], [2232, 8481], [7374, 11168], [5378, 8056], [1087, 4421], [61, 10441], [3005, 8404], [3395, 8559], [6150, 10787], [3047, 11259], [1755, 6048], [6746, 8566], [8086, 10815], [4149, 9960], [1973, 10822], [1013, 2378], [8604, 9465], [7234, 8505], [233, 4667], [6451, 7867], [3519, 6531], [223, 946], [1248, 10539], [3523, 10033], [2391, 8487], [676, 10498], [674, 8173], [4872, 8611], [3101, 7307], [554, 6536], [1352, 10488], [3038, 6958], [4180, 4304], [3254, 5270], [661, 9816], [5800, 8822], [1851, 1918], [1909, 8312], [5983, 11158], [3648, 7826], [9814, 10082], [349, 11392], [4523, 8026], [4707, 9833], [7511, 9671], [3144, 9232], [9214, 9528], [6662, 8413], [4382, 4788], [7377, 10610], [2234, 9950], [2337, 11583], [3483, 5665], [6189, 11384], [4878, 7621], [2230, 6044], [395, 1537], [2256, 8396], [5972, 9814], [2443, 10474], [1570, 4658], [4407, 6888], [3252, 10054], [8916, 11160], [6146, 8654], [4427, 9792], [5390, 9839], [4552, 8740], [6890, 9337], [1311, 9278], [5366, 8664], [8253, 9503], [5481, 6170], [6436, 7854], [3767, 7652], [3894, 7427], [3234, 8320], [801, 10869], [3012, 10193], [3782, 5681], [1731, 2108], [5466, 7740], [2725, 2966], [1171, 6615], [5988, 9542], [47, 3432], [1439, 1707], [1700, 6178], [84, 8195], [459, 8072], [10528, 10848], [6796, 8897], [5118, 10790], [1723, 7478], [3514, 10188], [1895, 2108], [527, 1975], [9644, 10535], [8589, 10899], [6311, 11484], [1013, 1841], [9517, 11110], [386, 5126], [2794, 7216], [5872, 7623], [4346, 6904], [545, 2904], [737, 9490], [78, 10608], [1384, 6857], [5556, 6828], [8828, 10484], [5426, 10919], [5615, 7408], [8359, 8693], [850, 3890], [3212, 4881], [540, 2910], [9662, 11060], [2494, 6550], [2499, 6894], [377, 4609], [4984, 10170], [2671, 11323], [2672, 7761], [461, 6939], [5001, 10524], [1054, 7453], [1386, 5748], [372, 6867], [890, 8550], [9668, 10474], [5688, 10673], [1756, 7910], [3289, 4138], [3596, 4066], [3620, 8624], [1944, 11344], [387, 4142], [6508, 7409], [3612, 7982], [2361, 2772], [6985, 10192], [4209, 9369], [2275, 6381], [2084, 9819], [3543, 7064], [905, 6175], [55, 7725], [2434, 11329], [4046, 4652], [770, 9922], [801, 5071], [2970, 4169], [5184, 9426], [6653, 9611], [7775, 10469], [3749, 3907], [7245, 7271], [736, 1643], [584, 10671], [2757, 6505], [264, 1833], [6399, 9694], [6053, 9057], [1178, 7623], [6524, 7888], [2697, 5673], [5584, 9518], [1482, 8788], [3070, 3969], [103, 3578], [1937, 2952], [1436, 4656], [5615, 5798], [3094, 5494], [4424, 7055], [10860, 10892], [1832, 8039], [4387, 7173], [190, 9589], [6845, 8626], [3427, 8528], [581, 2048], [5873, 6214], [215, 8306], [7921, 8735], [2764, 9123], [5219, 10305], [5281, 5521], [3032, 3461], [3276, 3821], [390, 10000], [1723, 10324], [754, 10462], [1783, 4713], [162, 6386], [2316, 5176], [1096, 7947], [3675, 7475], [2057, 6413], [5983, 9361], [4672, 5598], [1343, 1408], [7545, 9737], [2621, 2779], [6633, 10409], [4357, 10690], [4088, 6301], [616, 7495], [3864, 4341], [3273, 10289], [2364, 10478], [5633, 8201], [86, 7680], [1777, 10910], [1493, 11151], [9265, 10702], [2106, 9688], [3513, 6743], [6317, 8833], [7184, 8418], [2131, 5022], [2793, 3421], [861, 1260], [3543, 8837], [7400, 8982], [924, 5746], [927, 5263], [5898, 6405], [889, 2527], [4177, 5218], [3352, 8488], [314, 340], [4458, 10341], [4339, 8929], [4955, 11147], [1691, 7352], [232, 1439], [1078, 2399], [407, 6166], [5523, 7632], [6987, 7473], [4888, 6892], [3639, 4007], [3612, 5567], [4790, 8986], [3305, 8268], [9776, 11160], [1368, 2353], [1586, 3744], [1651, 8303], [2776, 8678], [1022, 10761], [3104, 7231], [6304, 10075], [1209, 10587], [3009, 3961], [3704, 5506], [3506, 4767], [6871, 9368], [245, 4653], [10508, 11459], [1418, 8482], [2350, 8462], [1538, 6332], [4901, 10106], [4443, 9228], [448, 1979], [4775, 5271], [611, 10079], [5021, 8710], [3033, 9623], [3650, 10531], [4278, 7848], [5419, 8756], [5680, 6811], [4276, 7021], [9873, 11069], [9718, 10000], [4608, 9480], [999, 3021], [6503, 6878], [5635, 7068], [8033, 8470], [2346, 11322], [3863, 8545], [7027, 8726], [6505, 9553], [3296, 3967], [2733, 11209], [6503, 7228], [5563, 8104], [88, 9149], [3541, 9433], [1041, 1338], [5223, 8413], [2035, 9366], [1039, 1265], [3377, 5245], [5001, 6499], [1627, 11234], [6613, 6992], [7547, 7799], [818, 2205], [3803, 7339], [320, 1928], [4621, 10415], [1989, 2955], [4399, 5118], [9533, 10196], [541, 7000], [787, 4023], [1537, 5275], [1681, 2021], [5323, 10872], [7157, 10246], [10763, 10772], [6810, 9384], [1151, 2206], [4038, 6051], [2024, 11405], [3471, 7135], [8801, 9873], [391, 5901], [5714, 10878], [6550, 11150], [9352, 10161], [4746, 8208], [3262, 6180], [2875, 9706], [299, 9695], [786, 3397], [4782, 7084], [5549, 9471], [62, 5968], [1676, 7288], [903, 10748], [3728, 7299], [718, 10968], [146, 1882], [4318, 7515], [9760, 10494], [1544, 7519], [337, 8243], [676, 1293], [6343, 6834], [1883, 3952], [231, 10476], [4522, 7695], [8224, 8683], [287, 7375], [4184, 4667], [6885, 10042], [2192, 8090], [254, 8366], [3580, 6623], [536, 5046], [441, 8192], [2862, 4128], [224, 10409], [2545, 8393], [530, 7483], [1239, 5728], [4291, 5668], [8745, 10233], [187, 4111], [206, 8325], [2267, 6170], [3917, 9399], [8810, 9130], [159, 2063], [5601, 9206], [3264, 5047], [8429, 9438], [9043, 10829], [1135, 11390], [230, 2653], [979, 1428], [4970, 11187], [201, 1134], [2035, 3918], [572, 2767], [2437, 7870], [3407, 10586], [845, 8783], [6478, 8324], [617, 5169], [374, 6165], [1592, 6731], [1181, 1535], [1805, 7778], [8616, 11492], [2508, 8460], [1859, 8014], [2010, 8183], [2137, 9456], [545, 3953], [7580, 8873], [4466, 6557], [4001, 10170], [5133, 5300], [6052, 11491], [3816, 8138], [3528, 10889], [3652, 6983], [6728, 7317], [267, 5113], [1139, 11458], [2882, 10714], [3431, 5294], [4578, 7148], [533, 2788], [3423, 10314], [8592, 9162], [5106, 6486], [66, 1043], [4042, 9770], [954, 1505], [3575, 10304], [4012, 11059], [1274, 6556], [3043, 4781], [3796, 9714], [275, 1567], [8389, 10681], [5868, 8125], [7836, 9943], [758, 4195], [6764, 9202], [3870, 4186], [3725, 7969], [1875, 10344], [734, 9436], [1684, 4360], [7081, 8320], [603, 4257], [7633, 8833], [1186, 6335], [5766, 7067], [9845, 11011], [2221, 7948], [196, 5596], [4855, 4931], [495, 5663], [4142, 9196], [5919, 11446], [413, 6762], [1244, 6690], [5783, 8175], [1581, 3077], [2184, 11449], [7584, 7786], [4669, 8309], [7179, 9952], [6403, 7479], [10699, 11458], [4340, 8807], [1764, 9550], [8610, 11565], [8486, 9809], [1134, 9154], [2653, 6450], [1753, 4473], [853, 6660], [2071, 3062], [825, 11028], [478, 1121], [7363, 9480], [2509, 6671], [7669, 10718], [3536, 4259], [5339, 7730], [5399, 7781], [5891, 8243], [8036, 9199], [1124, 11068], [1835, 3724], [3954, 11373], [353, 2523], [1657, 11531], [2410, 9294], [4461, 10615], [605, 9160], [8597, 10929], [9084, 10293], [7596, 11529], [931, 1224], [278, 3288], [2239, 10351], [10759, 11485], [4940, 9310], [7400, 10836], [934, 8288], [3350, 10296], [2194, 4192], [6587, 9235], [546, 7425], [5434, 6812], [1136, 5012], [4773, 7103], [5375, 5451], [7042, 9815], [3685, 9993], [1453, 3376], [5737, 10004], [7547, 8230], [2726, 4403], [702, 4905], [1822, 9100], [1533, 4833], [1909, 7564], [8848, 10524], [10131, 11485], [4995, 6334], [2058, 11070], [1929, 8216], [3173, 10757], [5948, 11355], [662, 8889], [3453, 6610], [4826, 4835], [935, 10741], [9529, 10104], [7841, 10555], [6817, 10986], [2512, 5763], [963, 9756], [8117, 9672], [1307, 3150], [6863, 7197], [3177, 7843], [3753, 6498], [2113, 4711], [4592, 4789], [4215, 9003], [3044, 5220], [2817, 5995], [2500, 3844], [423, 6220], [8659, 9847], [6487, 8199], [472, 1194], [1315, 2637], [7388, 8866], [7379, 11032], [1381, 4388], [3673, 4640], [63, 6624], [4916, 6956], [814, 2062], [1368, 9818], [3321, 3434], [98, 6056], [6254, 7624], [844, 9818], [1749, 5723], [4705, 5201], [961, 11157], [8995, 9365], [9148, 9607], [4850, 5555], [4629, 9528], [2017, 10614], [4469, 8115], [4653, 7670], [427, 5184], [3355, 9030], [3042, 4369], [10191, 11111], [4260, 7941], [2701, 4076], [3472, 3953], [6302, 7264], [8764, 9617], [10159, 11573], [3442, 5242], [5085, 7300], [1764, 7135], [7423, 7897], [288, 1615], [1729, 10332], [512, 10368], [1035, 5979], [7979, 9283], [1338, 3536], [5181, 10391], [562, 3315], [1996, 5199], [7880, 8523], [315, 405], [657, 9968], [2646, 6247], [2214, 4338], [1775, 2756], [3738, 4230], [10928, 10973], [3022, 8978], [4918, 8476], [3770, 7151], [2366, 7361], [124, 6472], [181, 7006], [9709, 10182], [10542, 10937], [877, 4989], [7594, 9068], [3824, 6633], [7807, 10115], [2017, 6426], [1210, 4640], [2961, 7921], [6377, 8323], [4715, 10749], [8553, 10844], [6306, 9611], [1358, 1505], [430, 4650], [2701, 3271], [10596, 11523], [8318, 10977], [3841, 4708], [1131, 1499], [2125, 9527], [2312, 9353], [787, 11488], [3576, 6130], [387, 7582], [8847, 10917], [9435, 11087], [5288, 7204], [4830, 5572], [2994, 6125], [4957, 7599], [5033, 5931], [1836, 3358], [4074, 6757], [748, 2084], [5748, 8128], [926, 4076], [1433, 5570], [4597, 5751], [3074, 10965], [51, 7259], [579, 9630], [4404, 5356], [1506, 10020], [7154, 10593], [4931, 8256], [4463, 5936], [101, 4343], [5056, 10587], [2649, 11351], [665, 9754], [3399, 6187], [5479, 8246], [2308, 4642], [2110, 4657], [6786, 8103], [10034, 11365], [1471, 11315], [4580, 7625], [8623, 11158], [8652, 9644], [3301, 6783], [5536, 5747], [3736, 5957], [8125, 10127], [1399, 8968], [1963, 10996], [430, 9106], [1542, 2106], [153, 4102], [1116, 3395], [8762, 10189], [4964, 6460], [4534, 10259], [1074, 6552], [1905, 6480], [545, 6962], [5863, 7431], [5894, 6744], [768, 8697], [534, 8301], [4343, 10664], [8968, 10415], [1437, 4133], [2304, 10134], [7164, 7473], [1067, 5731], [1146, 10750], [835, 5381], [776, 8938], [7581, 8700], [1464, 6306], [4222, 8051], [5435, 8273], [3640, 8827], [2697, 10186], [484, 7783], [2574, 9032], [2326, 4766], [4719, 11486], [1517, 6317], [7176, 7833], [1538, 4161], [540, 5813], [3468, 9659], [1782, 6773], [9101, 9200], [6305, 7725], [9908, 10986], [293, 9319], [1685, 6840], [105, 11520], [9028, 10415], [4955, 8171], [373, 10022], [4048, 9187], [880, 11516], [118, 9503], [368, 2481], [6400, 6457], [3044, 9489], [6435, 8895], [2923, 11414], [3888, 7370], [2391, 11553], [3730, 4532], [762, 9955], [3200, 7750], [832, 8442], [980, 11346], [5066, 5127], [6525, 8788], [3223, 8673], [5287, 10199], [5050, 10286], [2942, 6179], [1476, 5511], [5519, 9044], [8581, 9672], [4092, 8304], [2841, 8756], [6235, 7679], [2563, 6533], [8437, 9169], [2191, 11091], [1531, 5568], [282, 3437], [9118, 9503], [1036, 4808], [30, 183], [2356, 5681], [898, 4874], [5447, 11211], [363, 1332], [5184, 5913], [2768, 3905], [6945, 9882], [25, 5474], [5821, 6699], [9582, 11300], [492, 7569], [6059, 8742], [4968, 7197], [6155, 9204], [3347, 9624], [4539, 11221], [10014, 10176], [6055, 11252], [164, 4505], [2142, 7011], [296, 6876], [3214, 10034], [3845, 6868], [3998, 7864], [3724, 8793], [1713, 3895], [1561, 6507], [5802, 8527], [728, 9916], [7667, 8712], [3803, 10779], [3144, 4727], [5878, 6078], [494, 825], [2771, 9814], [255, 10608], [7440, 9837], [998, 7683], [153, 10331], [1806, 10071], [3287, 7637], [1880, 1914], [1616, 3531], [1260, 8622], [184, 8863], [950, 7642], [5874, 8938], [3883, 5416], [1606, 6226], [1888, 5158], [7268, 11423], [4395, 7284], [2342, 2884], [5053, 8193], [37, 1646], [4980, 7156], [2414, 7833], [3529, 7520], [6330, 10093], [5580, 8841], [7223, 10899], [9348, 10449], [3959, 6350], [4959, 6279], [1199, 10948], [6785, 10673], [1238, 3736], [690, 3342], [9461, 10511], [2205, 6154], [956, 4023], [2148, 9784], [3617, 9969], [7399, 9031], [1867, 9542], [18, 3474], [828, 8941], [2550, 7320], [7711, 7805], [1057, 7458], [6346, 7189], [6401, 6896], [4689, 9959], [8980, 10588], [3130, 6094], [7087, 10607], [3231, 6900], [2161, 6232], [3563, 9359], [3602, 9287], [2377, 5298], [8734, 10532], [6991, 7866], [2189, 5247], [5265, 5581], [1637, 10369], [753, 6673], [4343, 9672], [159, 1770], [6454, 11044], [7132, 9976], [2130, 7269], [6108, 10407], [7660, 10095], [4981, 9205], [9900, 10157], [6486, 9047], [5076, 6059], [657, 9594], [4538, 8635], [1896, 3840], [5468, 6290], [2016, 2444], [123, 6627], [9708, 10337], [3827, 10694], [2983, 9026], [7145, 10561], [1615, 5483], [1512, 3850], [3700, 7886], [1052, 6309], [10011, 11277], [1700, 7284], [3035, 8435], [2037, 10087], [1263, 4277], [1316, 3911], [8191, 8576], [3158, 10720], [2074, 6936], [71, 8315], [16, 2192], [2741, 11371], [812, 9481], [6667, 7903], [6200, 9191], [2332, 3969], [778, 6864], [442, 1253], [2486, 7819], [2152, 2281], [1641, 8932], [4321, 6260], [804, 8435], [7156, 7663], [6123, 10260], [5441, 9674], [2851, 5823], [3778, 5459], [3530, 5357], [536, 3143], [469, 1921], [4150, 10700], [2555, 7932], [1008, 6336], [2188, 6418], [3981, 9201], [1221, 6629], [4364, 8185], [3115, 6054], [1064, 8897], [1279, 10771], [2116, 7481], [583, 5591], [8, 3374], [7413, 7827], [2143, 3642], [155, 6053], [5158, 5952], [615, 5479], [4410, 11162], [9415, 11134], [5239, 8011], [4505, 11399], [2669, 5536], [2622, 11382], [2505, 4381], [6199, 7006], [3439, 5188], [127, 10801], [1351, 8149], [1844, 5049], [7532, 11467], [1751, 2606], [8010, 8059], [6627, 9146], [2236, 8313], [6480, 9850], [1366, 8430], [6212, 7591], [5121, 6046], [2266, 7374], [7584, 7843], [5624, 10050], [2539, 8472], [734, 8338], [4409, 6749], [8767, 9354], [3390, 7524], [1081, 5413], [114, 6378], [7746, 9302], [3407, 10911], [5244, 7550], [8196, 9538], [5183, 9526], [2815, 3802], [7703, 9605], [538, 11028], [471, 3390], [1249, 2903], [497, 7994], [4291, 8571], [2985, 5152], [7093, 7582], [2342, 8658], [4639, 9254], [1929, 6045], [1614, 11137], [2273, 10773], [3020, 5338], [4322, 7103], [6311, 6792], [616, 6373], [2269, 6867], [2207, 5989], [987, 8760], [159, 8349], [3362, 7704], [2884, 5450], [3537, 6015], [4225, 10553], [4120, 5841], [5972, 9928], [7046, 7362], [5368, 8501], [5184, 6694], [4750, 9620], [8100, 9025], [2573, 9880], [1035, 7646], [362, 9058], [6635, 11211], [2789, 8192], [1194, 5424], [4058, 5313], [873, 6537], [6286, 8024], [4243, 4312], [3481, 8715], [2961, 6205], [7541, 7691], [5015, 7043], [3487, 5497], [8337, 8564], [7101, 10802], [3954, 7592], [3882, 6026], [745, 1252], [3472, 7848], [180, 8421], [8203, 8749], [1730, 11446], [400, 4223], [3920, 5729], [337, 9536], [6335, 10518], [5256, 10488], [886, 4116], [2498, 4609], [548, 1088], [396, 3700], [2629, 6755], [2159, 3608], [1042, 8012], [197, 9906], [6324, 6572], [3521, 3926], [7602, 7943], [4981, 10441], [8718, 10484], [1096, 1832], [9309, 10171], [8964, 10890], [6655, 8779], [3487, 4692], [1017, 5107], [365, 980], [2758, 7700], [2830, 3604], [9705, 10521], [7306, 10402], [4219, 11407], [2254, 9860], [3974, 11576], [2478, 5781], [6015, 11428], [659, 3305], [139, 5713], [1159, 1376], [2778, 3040], [3337, 6976], [2736, 9230], [6600, 11300], [5361, 9103], [2864, 7695], [1556, 1951], [342, 1504], [7377, 11342], [345, 5939], [307, 9619], [835, 4820], [4221, 10298], [6807, 10997], [179, 10373], [7144, 7384], [7343, 8725], [1111, 10353], [212, 8978], [3168, 8456], [1072, 8146], [1096, 6288], [1391, 9589], [3406, 4837], [1979, 9759], [8997, 11322], [7789, 9192], [1656, 7793], [2365, 6038], [9433, 11071], [3573, 5135], [3206, 10791], [2244, 4930], [8615, 10624], [871, 1043], [7094, 10249], [5791, 11265], [836, 8404], [3544, 3616], [1926, 9724], [9637, 11251], [2985, 5315], [2911, 9338], [829, 4200], [5376, 9710], [2379, 3061], [3659, 5259], [951, 8512], [5023, 11285], [8068, 9300], [6480, 7703], [7543, 11364], [1807, 3774], [3271, 7779], [1913, 4924], [7107, 7801], [727, 6525], [6974, 7457], [1600, 9308], [848, 7983], [9394, 10338], [8941, 9804], [7310, 10789], [935, 10611], [4352, 10484], [1, 382], [868, 2219], [333, 5847], [1518, 10437], [497, 3969], [2675, 6563], [7269, 7755], [7890, 10317], [4949, 5455], [672, 2280], [271, 1182], [9884, 10323], [2136, 9668], [4304, 7410], [4555, 4777], [2817, 5865], [1439, 8050], [857, 8826], [762, 5556], [3964, 8473], [1844, 8513], [2250, 3539], [2351, 4345], [875, 2235], [2366, 4653], [2407, 4654], [4391, 7005], [5574, 10768], [3774, 4562], [7667, 11534], [8035, 9486], [5454, 9885], [4043, 8924], [1113, 8415], [586, 8898], [4204, 7529], [1298, 7414], [3044, 3935], [655, 10166], [1770, 9853], [3908, 9638], [5002, 8448], [4245, 6025], [2846, 7333], [6762, 8839], [2574, 2673], [4645, 6898], [2193, 5233], [6391, 9835], [1823, 4202], [458, 10002], [1071, 2123], [3784, 4849], [5766, 9783], [7449, 8988], [6418, 8248], [170, 675], [8387, 10668], [2582, 5193], [1563, 5968], [1411, 8580], [5263, 6129], [3277, 10121], [6787, 10185], [5269, 10081], [1155, 7836], [7869, 10863], [5814, 10554], [10106, 10627], [3384, 3952], [2319, 3628], [1608, 4556], [2568, 6584], [6028, 8039], [4350, 9932], [1325, 5399], [2820, 5307], [2192, 4203], [4671, 10697], [901, 1846], [498, 11255], [257, 8160], [312, 8621], [3308, 4465], [7972, 10560], [1892, 3160], [2652, 9264], [5320, 11493], [4391, 8778], [6569, 7208], [867, 3366], [2864, 10086], [10796, 11050], [335, 9921], [7442, 10745], [8762, 10864], [5589, 7187], [1581, 5338], [7207, 10878], [3507, 7684], [8639, 8929], [979, 10373], [1753, 9767], [3494, 5944], [378, 9217], [4003, 8265], [223, 5142], [4653, 9313], [916, 10024], [1499, 5686], [7667, 8769], [2226, 9398], [41, 2627], [3993, 10960], [7566, 11346], [1253, 5630], [7158, 9831], [2097, 9927], [4430, 10180], [3456, 9974], [3822, 5601], [5187, 11098], [7590, 9838], [9923, 10091], [632, 2694], [3420, 10667], [3728, 8568], [3563, 3805], [4657, 9031], [1906, 6575], [5149, 5329], [3849, 10026], [1810, 9496], [6732, 9965], [3617, 9676], [635, 8977], [6480, 6711], [5425, 7075], [3338, 8009], [6051, 10735], [3369, 9574], [5614, 7728], [1497, 1802], [2925, 6150], [628, 5554], [1304, 8577], [4802, 7850], [1436, 3778], [1364, 2212], [4584, 9842], [2063, 3876], [3737, 5247], [4783, 6295], [3910, 6895], [122, 7264], [1061, 11421], [210, 3701], [3257, 4795], [433, 5436], [9072, 10234], [1916, 9491], [8012, 11008], [4259, 10432], [7986, 9787], [2389, 5739], [651, 6827], [475, 4157], [3439, 7660], [7176, 7703], [6763, 11506], [1754, 8382], [753, 3347], [6707, 8164], [4202, 6141], [4637, 6069], [3554, 4385], [71, 6144], [2461, 6931], [3359, 8081], [4367, 7871], [4419, 11444], [4701, 10376], [2671, 7680], [80, 221], [1220, 1628], [3107, 4046], [2167, 2670], [3041, 3426], [1182, 2275], [7928, 11256], [108, 4871], [11100, 11298], [2167, 6053], [3729, 6429], [6559, 7488], [6214, 10459], [7730, 10490], [9531, 10882], [1346, 3056], [1569, 4791], [10218, 11031], [5175, 6071], [659, 5509], [5480, 10090], [6316, 10362], [6105, 9361], [6652, 8776], [8995, 10471], [556, 1597], [4420, 7077], [6555, 9597], [837, 4468], [8018, 9213], [3792, 6727], [5210, 10387], [4244, 7790], [8099, 11272], [456, 8159], [5767, 8211], [1073, 9821], [4347, 7888], [699, 11300], [3022, 6701], [7722, 8289], [728, 3370], [7166, 10286], [1027, 6443], [75, 8440], [28, 7870], [3137, 7590], [6223, 6360], [10956, 11094], [6909, 10071], [6842, 8849], [369, 11546], [7342, 9172], [3538, 5655], [3486, 5465], [1294, 3939], [6094, 7643], [7310, 7382], [7494, 9943], [5216, 9397], [4292, 7026], [512, 3903], [1105, 4417], [7271, 7427], [1975, 4273], [2498, 4048], [231, 11208], [1690, 10705], [5023, 6723], [4362, 11178], [2875, 3217], [3126, 7000], [5581, 8182], [7045, 8023], [1006, 1378], [8753, 8978], [2781, 2801], [8510, 9220], [8014, 11268], [7541, 9358], [7078, 7382], [3303, 11019], [962, 4489], [4014, 4429], [3678, 4480], [5794, 6196], [1028, 6240], [532, 9042], [5609, 6416], [349, 9335], [3828, 4424], [2857, 10151], [1773, 4115], [4730, 6447], [7144, 7628], [2140, 8258], [2854, 7601], [617, 7056], [856, 9324], [6160, 10841], [2383, 4983], [1354, 5070], [798, 2903], [2570, 4809], [1935, 10485], [4622, 11236], [8846, 11397], [7763, 10467], [910, 6527], [3429, 6004], [10249, 10962], [3611, 5486], [7077, 10139], [3087, 9650], [993, 5249], [5196, 10949], [1901, 5589], [2294, 10953], [7927, 11248], [5907, 9240], [1435, 3315], [2297, 4808], [8729, 8903], [5931, 10765], [5803, 11519], [245, 10809], [7673, 10550], [3776, 6088], [3008, 10646], [3629, 9044], [4052, 5205], [2661, 9784], [3368, 7956], [4242, 4548], [2846, 9537], [4608, 5837], [1478, 5240], [7104, 10026], [449, 5327], [3706, 7951], [5139, 6227], [1995, 6698], [3521, 8171], [1964, 5133], [562, 2006], [1496, 9983], [5071, 11196], [1282, 4547], [2092, 10014], [5793, 8148], [834, 10049], [5419, 5463], [3609, 4985], [491, 6677], [54, 6676], [4348, 5324], [4659, 9158], [1383, 8012], [4557, 8881], [1890, 3090], [2855, 5462], [8682, 9006], [6430, 7429], [3035, 4117], [4602, 5591], [3227, 10703], [5868, 8857], [419, 5461], [5211, 10021], [1381, 7535], [7757, 11321], [7567, 11197], [661, 1961], [4210, 10621], [5167, 6716], [660, 11158], [5323, 7229], [5203, 6346], [4487, 10340], [864, 1539], [55, 9506], [4117, 11561], [4320, 5504], [6195, 11295], [9612, 11168], [1856, 6488], [3201, 8327], [1609, 9240], [2349, 3388], [4289, 9574], [2272, 11247], [4557, 8076], [7767, 10854], [952, 3988], [2701, 10606], [2659, 11134], [1284, 9830], [3159, 9205], [5327, 6947], [6452, 7322], [500, 8967], [4985, 7183], [10150, 10820], [4895, 8421], [6750, 7918], [9843, 10111], [523, 1222], [5882, 8108], [1300, 10713], [1248, 10523], [3258, 4673], [1551, 1664], [28, 6878], [4518, 11100], [9329, 10829], [7644, 8545], [4013, 9652], [1859, 9364], [620, 1505], [3885, 8154], [8212, 11446], [8545, 11097], [5532, 11085], [8173, 11491], [7984, 8586], [8202, 9977], [4747, 6614], [4318, 10638], [3496, 7820], [3406, 11310], [2471, 10278], [4059, 6213], [8042, 8941], [3801, 5423], [2350, 5787], [2997, 3154], [507, 9333], [6257, 10213], [2282, 4340], [8998, 11200], [5830, 7113], [837, 7932], [3915, 9093], [2170, 9010], [4047, 5048], [1862, 4693], [3978, 6409], [4258, 9432], [2117, 9349], [801, 5242], [3944, 4546], [2478, 3878], [392, 3502], [612, 5720], [3716, 8102], [7105, 10845], [7087, 9485], [69, 7952], [361, 5320], [1844, 2959], [256, 1362], [3893, 10623], [753, 2168], [3373, 8113], [1902, 7101], [1901, 7630], [4767, 10598], [5107, 6502], [1652, 3139], [1337, 8231], [4083, 6933], [5423, 9182], [3952, 8170], [342, 9400], [991, 1178], [5724, 5912], [8313, 10292], [2114, 4890], [2547, 10407], [2583, 4402], [4159, 4484], [363, 7244], [2424, 9253], [1744, 9494], [4817, 10311], [10085, 11417], [5259, 10656], [1921, 4468], [6587, 11390], [4089, 6374], [4448, 7970], [10967, 11310], [9014, 11278], [824, 9524], [2412, 4705], [2940, 7076], [1044, 7578], [7582, 9440], [2439, 9534], [7678, 9902], [1537, 4478], [3064, 6553], [4681, 6636], [445, 3462], [2598, 4279], [6918, 10564], [3993, 10399], [8347, 11350], [7652, 10559], [2302, 10552], [4260, 7518], [2794, 6850], [2828, 3428], [7962, 8506], [1761, 2277], [2366, 11476], [3734, 4439], [5098, 11246], [5349, 8613], [5380, 7926], [681, 5028], [8461, 8604], [4264, 11020], [1728, 10438], [16, 6331], [4770, 8936], [1320, 1753], [977, 11213], [2109, 6343], [1106, 7651], [4905, 8572], [7785, 8994], [233, 7497], [479, 10936], [8981, 11464], [45, 11583], [6069, 10780], [2210, 3392], [1313, 11512], [2143, 2170], [3061, 4696], [3056, 4352], [778, 1554], [3737, 7719], [3241, 3351], [407, 9720], [5324, 9845], [9123, 10766], [680, 10818], [1062, 4696], [4687, 6026], [9461, 10007], [6025, 7448], [3891, 8536], [4880, 9050], [7058, 8234], [4656, 10096], [919, 3637], [5523, 9681], [4540, 5949], [8012, 10447], [978, 8381], [1599, 6779], [2232, 4440], [506, 2909], [2682, 11092], [830, 11112], [39, 3443], [3717, 8541], [3457, 7678], [3811, 5924], [4401, 9173], [2811, 6749], [1777, 5738], [5519, 6125], [9182, 10191], [4428, 4580], [7633, 7768], [501, 10829], [6882, 9297], [2455, 8053], [5204, 10436], [369, 6179], [675, 9669], [3269, 7977], [8675, 9047], [7270, 11284], [5379, 5714], [6344, 8086], [7734, 9698], [2753, 5616], [9105, 11260], [4406, 8362], [4683, 11114], [6648, 9251], [235, 9747], [2697, 8690], [493, 4121], [1630, 5287], [2404, 11097], [3216, 6811], [1825, 11390], [1412, 9531], [2816, 7069], [702, 11061], [2490, 7084], [4427, 9589], [6982, 8723], [354, 929], [4829, 11289], [2145, 10055], [851, 1735], [4679, 7558], [192, 9269], [3012, 3224], [804, 7581], [6683, 11315], [6383, 11023], [1959, 3634], [2989, 11319], [4037, 9030], [2017, 7776], [7841, 10295], [52, 9639], [3383, 4076], [2395, 10580], [6287, 7528], [1992, 2993], [2606, 10800], [9294, 9977], [309, 3788], [2943, 7941], [4627, 9246], [1879, 4055], [516, 11436], [1889, 8907], [798, 10368], [2594, 4000], [7485, 9320], [1066, 2454], [1754, 2828], [8386, 10741], [3336, 10272], [74, 888], [5278, 10869], [2252, 4236], [6918, 6994], [3060, 8876], [6699, 7630], [3987, 8512], [6141, 7302], [9398, 9926], [3859, 9266], [2267, 3763], [930, 5949], [5389, 8606], [2927, 6253], [5198, 5628], [4971, 6403], [127, 11452], [8998, 9403], [7711, 10952], [9273, 11328], [278, 4451], [648, 3984], [8684, 10933], [1146, 1228], [337, 5031], [6064, 10623], [1078, 2033], [5097, 5172], [270, 7192], [3095, 10159], [6574, 9412], [2570, 5053], [199, 8480], [3709, 9298], [5059, 5819], [4916, 5541], [874, 4862], [9817, 11549], [1032, 2038], [254, 5154], [686, 5565], [4741, 10613], [3306, 5094], [1095, 3518], [7314, 9572], [6063, 6614], [7382, 7986], [5078, 6219], [5191, 10068], [2713, 10592], [3668, 6614], [5309, 11255], [5025, 5834], [577, 10883], [429, 3815], [370, 6618], [1896, 7337], [3689, 10120], [1641, 6818], [2849, 6696], [3657, 4920], [3693, 4577], [673, 7558], [11281, 11366], [441, 7208], [4620, 8350], [1812, 4606], [6354, 9772], [851, 2353], [7168, 8942], [8415, 11000], [1768, 11100], [8182, 11206], [7094, 9932], [7772, 8864], [427, 2964], [397, 843], [5130, 8987], [9543, 11299], [9054, 11108], [6222, 6970], [49, 3543], [4350, 5614], [1939, 9642], [5553, 10029], [1751, 3175], [5995, 11128], [4366, 8776], [2282, 9227], [6391, 11128], [8073, 10108], [1139, 8246], [7569, 8885], [297, 9657], [4929, 11333], [1787, 2051], [6797, 9537], [1186, 7311], [3063, 6759], [10026, 10113], [6302, 8777], [7596, 9927], [5977, 6011], [4242, 7370], [689, 3472], [904, 5346], [4207, 8315], [8749, 9317], [2651, 11137], [2677, 5942], [1588, 5224], [4162, 4408], [400, 6752], [858, 1214], [1952, 6440], [3385, 4716], [900, 11239], [243, 352], [153, 10258], [1916, 10166], [1551, 9479], [4531, 9351], [5971, 8798], [2442, 9458], [1322, 3011], [3415, 3777], [7479, 8187], [8571, 10334], [1635, 11055], [2251, 2693], [7082, 7962], [576, 1851], [3680, 8397], [1529, 3462], [5804, 9974], [6441, 6653], [966, 8452], [6191, 6478], [7309, 9846], [3332, 10316], [2924, 5795], [8213, 8532], [4696, 10707], [2294, 5399], [4078, 5410], [2806, 7991], [535, 2200], [2486, 6323], [2132, 10706], [824, 4962], [4621, 11472], [1135, 8796], [3191, 6297], [3439, 4147], [7523, 7681], [4283, 8444], [5455, 8665], [9821, 11131], [8073, 11531], [5580, 7613], [8235, 9580], [1630, 3490], [444, 11507], [4456, 9311], [4769, 7556], [6854, 8461], [2067, 9880], [5443, 7500], [1067, 7699], [8278, 8903], [9772, 10838], [7530, 9949], [9610, 9756], [3013, 10697], [3474, 5430], [3171, 5621], [1646, 3592], [5937, 11391], [2981, 5497], [49, 4161], [2952, 9640], [275, 3161], [6546, 9405], [921, 7473], [4682, 5658], [8978, 9637], [3622, 5678], [4685, 5175], [6429, 11449], [1391, 9085], [1869, 4953], [3997, 4774], [592, 774], [8504, 10131], [5634, 6263], [1465, 3557], [1341, 1801], [1841, 6288], [7842, 10951], [151, 10830], [3821, 4733], [767, 2468], [3232, 11508], [5503, 10129], [2203, 4425], [3672, 8774], [559, 5148], [1880, 8875], [6473, 10566], [2511, 5709], [114, 7915], [150, 3408], [8739, 9597], [1896, 6345], [5990, 7214], [3840, 9297], [920, 9476], [3969, 5735], [2190, 6822], [2169, 5945], [2780, 3655], [3750, 6371], [3563, 4293], [5613, 10647], [1172, 10451], [6918, 7425], [3900, 7069], [4177, 9821], [8110, 9022], [7351, 10690], [7356, 11034], [4121, 5725], [244, 2669], [433, 5574], [598, 7331], [7218, 7313], [7407, 10218], [315, 4764], [6781, 7312], [4949, 7984], [4267, 11562], [1867, 3671], [765, 8383], [5894, 5947], [1663, 3117], [6839, 11050], [860, 10872], [2003, 6191], [822, 8136], [5061, 9329], [4062, 4340], [1911, 3569], [5044, 10853], [4672, 8241], [1839, 11048], [4389, 5674], [375, 627], [5674, 8216], [4604, 7548], [1252, 8070], [7532, 11394], [4548, 9868], [2143, 5797], [7495, 11512], [7099, 11512], [865, 3645], [183, 7223], [150, 4831], [1306, 4519], [2328, 8179], [2204, 5669], [1335, 10175], [492, 8732], [8244, 10260], [1945, 7660], [6272, 10952], [9161, 9208], [4004, 8842], [3063, 4612], [298, 2450], [9821, 10944], [3221, 5952], [3871, 9252], [5027, 8940], [3165, 8272], [1565, 11576], [7886, 8485], [7534, 10285], [7231, 10476], [4862, 8314], [3401, 7990], [3109, 4206], [10708, 11154], [9218, 10092], [5455, 8828], [6169, 8171], [1313, 10951], [6669, 8494], [3981, 7518], [438, 4308], [190, 10622], [2146, 4509], [647, 7865], [6965, 8263], [5220, 8180], [901, 8913], [2026, 9288], [4791, 9952], [278, 3272], [4878, 7662], [946, 11315], [829, 4314], [1800, 10638], [4684, 8550], [1845, 9657], [821, 3672], [5158, 7652], [3153, 5952], [8036, 11411], [8911, 10857], [5045, 8714], [9372, 9754], [4893, 9074], [786, 1584], [6608, 10446], [8194, 11216], [1897, 10197], [8691, 9770], [1869, 8149], [1282, 4417], [2299, 7733], [2519, 2781], [2204, 3709], [5970, 9408], [8063, 9420], [370, 8472], [4066, 8514], [9451, 10205], [3541, 5660], [4731, 10594], [1481, 10669], [3733, 5830], [5782, 6324], [4655, 5122], [3473, 4213], [2788, 4110], [1666, 3252], [738, 10561], [3814, 7889], [856, 1168], [1439, 8164], [4768, 5938], [5456, 9722], [9292, 9744], [763, 8524], [7609, 11293], [407, 783], [4947, 11538], [4233, 5779], [6540, 7063], [2218, 4115], [6607, 8285], [1397, 4905], [9022, 10822], [2647, 4228], [2729, 5758], [6034, 6144], [3696, 8176], [7094, 8753], [3383, 3515], [4434, 5661], [5366, 6395], [5350, 5862], [8509, 11361], [3686, 10871], [914, 7538], [1022, 8761], [3816, 10163], [1913, 3078], [4965, 8680], [2100, 2904], [1416, 5655], [9872, 11500], [323, 1031], [1493, 6841], [5949, 6571], [1002, 9987], [2430, 7919], [2208, 2622], [1709, 5907], [7689, 8939], [996, 3002], [4695, 6725], [8683, 10551], [7592, 11258], [8803, 11407], [2932, 6036], [2199, 8171], [3443, 4296], [4325, 11329], [4385, 11380], [242, 4233], [185, 7863], [1613, 5795], [7213, 9360], [246, 11522], [5588, 10133], [5430, 7295], [954, 10296], [204, 4880], [6525, 8959], [3600, 4630], [4461, 10062], [3941, 8306], [2635, 4887], [4927, 5139], [4746, 7013], [1537, 2925], [819, 6846], [6481, 11289], [903, 9203], [784, 7791], [4227, 7387], [10023, 10864], [2027, 10107], [463, 1734], [688, 4296], [1546, 6801], [1272, 7730], [272, 8555], [6655, 7096], [2231, 10287], [4046, 4693], [5648, 10914], [988, 11354], [3476, 9266], [8510, 9976], [614, 8669], [2471, 2577], [7489, 7672], [7733, 10284], [2592, 4035], [10852, 11446], [1592, 9024], [1166, 3897], [903, 5015], [606, 11410], [8599, 8863], [838, 3839], [1343, 2254], [1584, 5349], [3366, 3779], [436, 3270], [1464, 10128], [4291, 7506], [3506, 9451], [6842, 9150], [18, 4450], [2729, 9759], [6681, 7512], [2579, 6782], [6676, 7168], [4222, 8840], [1293, 11185], [5501, 10059], [5344, 5911], [6089, 6819], [2042, 5796], [3496, 9113], [6801, 8745], [5777, 9176], [10777, 11056], [421, 1807], [2532, 3179], [453, 10390], [2993, 4328], [4565, 5392], [2597, 3574], [6884, 7467], [4588, 10479], [189, 5621], [2900, 4514], [6050, 7241], [8307, 8438], [4356, 10129], [1558, 5575], [3120, 5951], [1313, 9154], [23, 606], [1614, 5884], [9401, 10631], [2261, 10421], [5251, 8729], [1615, 9492], [1866, 6859], [1548, 1854], [5467, 9293], [4503, 7523], [280, 10970], [3131, 6490], [75, 9814], [3562, 8928], [5776, 7769], [676, 7937], [6233, 9176], [1751, 1809], [10584, 10610], [1005, 10098], [10005, 10903], [3987, 7764], [7463, 8971], [873, 11083], [5004, 8047], [6810, 11035], [4369, 10690], [427, 7209], [9549, 9697], [2947, 9540], [1791, 3436], [5154, 11374], [2592, 4653], [3588, 7092], [647, 8646], [1191, 9298], [6980, 9352], [6479, 11056], [326, 9759], [11341, 11474], [3345, 6553], [3211, 4109], [2120, 8980], [3374, 5039], [728, 4289], [881, 7537], [1192, 9119], [2369, 9684], [8248, 8500], [7169, 9224], [1710, 4386], [7625, 9275], [7723, 10564], [1534, 6604], [9736, 11401], [849, 5747], [4142, 11034], [3296, 3658], [9770, 10231], [2955, 3365], [4581, 7698], [2181, 3971], [5174, 8212], [1533, 8631], [2925, 11070], [2335, 3657], [1160, 3919], [10555, 10915], [987, 11346], [680, 9883], [1824, 8056], [4967, 7360], [1173, 6783], [10419, 11027], [7002, 10400], [1890, 3391], [3662, 7549], [1955, 3786], [4875, 11154], [2152, 4330], [4341, 11220], [9351, 11536], [1159, 8955], [3120, 9602], [758, 2195], [2053, 6953], [9398, 10601], [8775, 11376], [3403, 3474], [3958, 7668], [4887, 8131], [10618, 11213], [1647, 8894], [4954, 10107], [55, 3391], [1956, 3987], [7993, 10559], [4068, 10465], [4790, 7417], [1172, 3124], [11218, 11393], [4876, 7191], [9208, 10827], [2981, 10547], [1427, 7026], [9548, 10895], [10379, 10823], [5408, 9681], [6733, 10898], [4369, 9080], [9317, 10770], [1980, 4731], [4588, 6909], [204, 3083], [9510, 11542], [1666, 6261], [9097, 9683], [7641, 9703], [131, 7708], [4799, 4877], [476, 11126], [312, 3555], [7777, 11469], [776, 1969], [3396, 5662], [3050, 5025], [4944, 10112], [6222, 11483], [2302, 10235], [6777, 9261], [6042, 9795], [4383, 8732], [3535, 6945], [3010, 11261], [8700, 11336], [4314, 6683], [1427, 9254], [4221, 4240], [9052, 9509], [5504, 5955], [6000, 6536], [1262, 2212], [384, 10382], [1946, 11512], [2135, 4995], [1230, 2674], [2940, 5954], [6080, 7993], [4019, 10148], [1166, 11549], [4927, 5570], [2867, 10579], [8570, 9361], [1123, 7688], [70, 3217], [2494, 2834], [7746, 11351], [4635, 8552], [8, 11384], [3322, 8880], [6563, 10971], [5534, 10304], [6444, 9559], [6002, 6208], [8990, 10859], [644, 2176], [6906, 11310], [6185, 10796], [5696, 8353], [1114, 10204], [1386, 8448], [57, 8243], [4840, 5170], [5063, 5407], [1916, 2197], [9668, 10141], [1879, 2315], [3677, 5442], [7613, 9078], [1373, 4429], [1430, 8346], [2462, 5524], [6610, 7353], [3340, 9405], [749, 8362], [5855, 11392], [1146, 5554], [10519, 11071], [1522, 8285], [5685, 9668], [9146, 9813], [2823, 9825], [772, 6252], [5369, 11125], [4531, 10026], [5224, 8492], [3292, 6331], [1912, 6935], [1476, 7536], [1254, 8655], [137, 2479], [4592, 8400], [763, 8768], [446, 6617], [3371, 4530], [4150, 10684], [253, 6976], [2615, 5715], [283, 1900], [5704, 10418], [8777, 11235], [3546, 8476], [8833, 11544], [371, 8136], [550, 9599], [4249, 6906], [3440, 4293], [577, 5760], [3145, 11515], [10044, 10912], [8239, 10024], [2353, 10037], [3633, 8071], [3225, 4304], [1980, 10960], [1920, 4493], [6333, 6805], [4114, 6839], [1101, 10991], [4649, 8129], [907, 1326], [15, 9790], [3430, 7338], [9195, 9250], [1805, 5859], [5822, 10423], [4860, 5316], [3480, 10084], [4507, 7672], [5016, 5829], [9298, 9378], [1958, 6074], [1827, 6557], [5096, 11450], [1491, 6608], [1331, 9359], [3201, 7636], [1262, 11474], [2353, 5849], [7363, 9171], [3103, 7101], [5726, 10311], [991, 9668], [3976, 10638], [4506, 6666], [7577, 10820], [5146, 7780], [2252, 2764], [5149, 7297], [3258, 5137], [9512, 10246], [6892, 10717], [6155, 10424], [5615, 6538], [1974, 6203], [6856, 8027], [4927, 5383], [818, 9898], [42, 4015], [5766, 9336], [226, 2789], [8806, 11144], [1086, 1203], [4048, 8797], [7059, 7982], [8873, 9333], [174, 5258], [5039, 9357], [593, 4653], [3317, 4562], [459, 8625], [6128, 7823], [1727, 2138], [1135, 4478], [1763, 1795], [4345, 11420], [2480, 7071], [7922, 10050], [1384, 5182], [4092, 7564], [3042, 6020], [9726, 9959], [3198, 6533], [1877, 2082], [894, 4766], [4373, 10435], [2594, 11522], [6735, 11426], [164, 11336], [8321, 10698], [6423, 10373], [8295, 9477], [1072, 7512], [3871, 8504], [623, 2990], [442, 7116], [6665, 9906], [6238, 8341], [1496, 6527], [3123, 7298], [2156, 8263], [3020, 4167], [5267, 5400], [2149, 7092], [2583, 4166], [5674, 9696], [2155, 11044], [1527, 11475], [6100, 11036], [2640, 8083], [217, 4904], [408, 1466], [9673, 9924], [158, 1291], [1431, 1564], [4225, 9382], [3358, 3381], [7423, 8393], [5403, 6385], [4910, 6452], [953, 1939], [58, 306], [5159, 7156], [388, 2692], [4842, 11421], [2168, 10875], [886, 10516], [10230, 11131], [765, 6025], [3533, 8458], [1534, 5075], [5238, 8388], [3250, 9301], [131, 1723], [1343, 4726], [4744, 4820], [8345, 11418], [1626, 10676], [4021, 8397], [1244, 10382], [3047, 7437], [1526, 7062], [5395, 9476], [3547, 6262], [3884, 4901], [1839, 8690], [1108, 1826], [6240, 10241], [2265, 4368], [4837, 6889], [232, 1374], [2384, 4999], [7518, 7825], [2532, 5651], [8046, 10196], [1950, 2263], [6060, 7772], [4933, 10734], [2031, 10738], [9570, 11219], [3775, 7186], [1316, 2098], [1689, 10974], [249, 5111], [1461, 8114], [4606, 10497], [4673, 5303], [5289, 7521], [2430, 11359], [3672, 10067], [1860, 2346], [3327, 6622], [2231, 11149], [3721, 5795], [4251, 8993], [6907, 8179], [1892, 4486], [1484, 7135], [1112, 10939], [551, 9182], [3373, 5462], [1969, 5672], [5558, 5817], [1170, 8665], [2013, 5944], [1354, 11226], [7259, 9011], [1350, 7320], [4999, 7516], [2063, 2274], [5547, 8287], [5789, 7820], [7471, 9052], [2275, 3096], [501, 4527], [5888, 7799], [2273, 7187], [2894, 5585], [1999, 8116], [5421, 9087], [1491, 8649], [6874, 8015], [6565, 10643], [6472, 7446], [6066, 6758], [2783, 10857], [1057, 2880], [2077, 3461], [164, 1350], [241, 4014], [5518, 8646], [2381, 3872], [2157, 4918], [1133, 4595], [3903, 7855], [4147, 10467], [5370, 11377], [10521, 11174], [5077, 7368], [4521, 10119], [3936, 7214], [4672, 9534], [10523, 11220], [6538, 11075], [1378, 7782], [4366, 9427], [55, 252], [2114, 7850], [2208, 7485], [4758, 6275], [6382, 7529], [4489, 7548], [7040, 9192], [1983, 8306], [8115, 9480], [9245, 10199], [59, 6760], [4200, 10828], [6991, 8549], [6688, 8740], [898, 10713], [2548, 7526], [2753, 7958], [2983, 10864], [4845, 5870], [9694, 10964], [1346, 1454], [5676, 8427], [1295, 4872], [5997, 7287], [1878, 11114], [104, 6129], [9, 2859], [1161, 11473], [6106, 7230], [9745, 10148], [6133, 9053], [1967, 6618], [10833, 11395], [4520, 9089], [2092, 5566], [3516, 6008], [6661, 8391], [6687, 7360], [10391, 11427], [3610, 9807], [2454, 3703], [10045, 10790], [1826, 4134], [1526, 10258], [6037, 9695], [6159, 10624], [610, 10030], [2816, 8256], [8961, 9635], [5962, 7077], [8427, 9701], [767, 11145], [734, 8753], [8172, 8428], [8270, 9717], [4710, 11064], [1890, 2025], [7588, 9131], [420, 10283], [2041, 2194], [363, 3333], [635, 1577], [3408, 8518], [6949, 7868], [3618, 6261], [6534, 9346], [756, 6418], [5417, 6580], [697, 9221], [1750, 8030], [5322, 9726], [8374, 8912], [7997, 8962], [1280, 2631], [3515, 8765], [8186, 9615], [1364, 1578], [3100, 3827], [522, 9405], [3946, 4787], [1399, 10432], [153, 5566], [14, 2024], [8453, 10898], [708, 9760], [4603, 10389], [1211, 7348], [5968, 10224], [3938, 7528], [3198, 6964], [7859, 9378], [8259, 10251], [6829, 9240], [2510, 6563], [5672, 10081], [7454, 8511], [1568, 8524], [6910, 7135], [408, 4930], [3276, 8725], [1091, 2708], [2646, 8329], [2346, 8037], [622, 9585], [2771, 7277], [3296, 3715], [3834, 6774], [1996, 10664], [8689, 9431], [4857, 6872], [10612, 11506], [1374, 7877], [7305, 11047], [3444, 9248], [190, 10305], [990, 10920], [2726, 6753], [391, 9837], [50, 9544], [179, 5982], [3656, 10824], [175, 8492], [980, 7199], [455, 4345], [5677, 9270], [542, 557], [1608, 3735], [3958, 7375], [3061, 9079], [7173, 8245], [2803, 8289], [1318, 3407], [6173, 6818], [2687, 4142], [2180, 8283], [3455, 10137], [2092, 6184], [3823, 8089], [3987, 6211], [4412, 5451], [11113, 11249], [220, 8211], [2323, 5558], [8623, 11012], [339, 3207], [373, 2037], [894, 3237], [6931, 7557], [4042, 10055], [3479, 4465], [9554, 11521], [7393, 9308], [827, 5398], [9450, 10417], [5360, 6314], [4088, 8895], [4002, 7623], [7763, 8060], [2758, 5082], [1978, 8125], [3222, 3496], [1099, 4773], [5422, 10575], [5355, 9353], [1819, 7314], [5050, 8717], [330, 11358], [664, 4064], [1407, 8309], [1443, 1550], [7537, 8656], [7377, 11407], [1926, 10594], [2335, 5137], [4298, 4359], [7630, 8066], [994, 3417], [2616, 8008], [1654, 5153], [7256, 9545], [6318, 11248], [10050, 10947], [26, 10573], [4107, 10426], [2083, 4512], [6527, 9143], [3786, 10785], [928, 6180], [272, 399], [7429, 11166], [509, 6004], [4251, 6391], [7895, 9653], [739, 2494], [6150, 10324], [2750, 6668], [890, 2663], [7390, 8205], [3185, 6596], [1199, 3418], [43, 1478], [2004, 2125], [316, 2576], [448, 9111], [4077, 7177], [4214, 9892], [854, 4137], [2427, 4702], [690, 8644], [5449, 8183], [4172, 9666], [163, 5717], [1341, 2720], [2215, 3476], [5669, 6614], [3487, 6530], [6468, 7758], [3641, 3964], [7524, 10248], [430, 3967], [9573, 10742], [2166, 5462], [526, 10091], [2021, 2829], [951, 2161], [8054, 9659], [298, 4979], [14, 5220], [4002, 9046], [1194, 5302], [6018, 9400], [2257, 2547], [49, 1242], [3598, 7650], [785, 3562], [3992, 6823], [2374, 6515], [3489, 6202], [8320, 11471], [1345, 2438], [6360, 9514], [2005, 10590], [2031, 9559], [2554, 11586], [4806, 6747], [4296, 11371], [9153, 10691], [8403, 10193], [8530, 11466], [1801, 3620], [4, 4101], [1874, 8794], [962, 3050], [215, 8485], [4819, 10365], [1793, 2978], [836, 4631], [3759, 3969], [3915, 8646], [3665, 7717], [4284, 10206], [8273, 10470], [2069, 4724], [2812, 8969], [9454, 11154], [289, 6340], [4370, 6193], [8175, 10312], [3965, 8359], [455, 1125], [6200, 8077], [6821, 10639], [11313, 11524], [971, 6145], [3099, 5212], [2621, 2958], [1875, 4831], [2090, 5951], [3427, 4519], [6924, 10737], [5336, 9140], [8192, 11420], [928, 6448], [1122, 9697], [1720, 4139], [785, 9523], [5190, 7810], [3729, 7486], [6346, 7498], [7562, 7991], [1172, 6027], [3670, 3873], [3826, 8550], [8679, 11134], [584, 2824], [9489, 10185], [143, 2327], [9475, 11226], [2787, 4135], [3246, 7867], [1062, 11120], [2378, 8811], [5519, 7288], [6575, 9778], [5675, 7801], [3330, 10197], [6, 5597], [847, 6967], [4704, 11276], [4976, 9520], [3634, 4192], [6869, 8720], [2880, 5423], [9701, 9825], [5902, 6652], [1702, 5387], [184, 10945], [1726, 9945], [5650, 11312], [4043, 5501], [115, 6644], [2763, 8221], [3007, 10833], [8361, 10959], [395, 2497], [6453, 6940], [7848, 8896], [4429, 8196], [74, 9272], [8563, 11093], [1999, 8010], [853, 6758], [4800, 10583], [2061, 8888], [3709, 9038], [8196, 9579], [596, 5412], [2901, 10033], [5767, 6585], [7041, 10466], [1838, 3339], [3672, 6123], [4855, 10640], [366, 8518], [4010, 6118], [10649, 11038], [2332, 8011], [5969, 10102], [2762, 6841], [5597, 8244], [578, 3678], [3203, 3551], [1637, 5685], [6212, 6827], [3755, 8228], [1427, 1903], [1568, 7800], [766, 6358], [5031, 8772], [857, 6476], [46, 9452], [7957, 9539], [6823, 7920], [10069, 10355], [3130, 5143], [5019, 10640], [607, 8930], [2159, 4454], [1407, 9545], [1501, 6928], [5704, 7710], [2707, 5979], [4869, 11046], [4704, 6283], [91, 8821], [4549, 9378], [6562, 9461], [745, 943], [2925, 7370], [27, 4864], [5290, 5626], [5412, 7309], [1124, 10361], [5071, 11180], [6382, 7773], [3582, 8808], [9621, 9791], [2696, 4285], [2787, 4403], [1986, 5815], [5781, 10000], [5313, 7680], [6894, 8860], [6675, 7244], [2547, 7545], [3132, 10450], [1391, 1441], [3099, 8058], [2851, 8710], [358, 4038], [6858, 9580], [5614, 7793], [5144, 5400], [825, 6133], [3743, 9291], [5341, 5914], [3904, 10148], [1540, 8330], [1695, 5989], [2094, 3254], [1530, 11025], [250, 3165], [1535, 4953], [2343, 3177], [6314, 11560], [3981, 9055], [3197, 8192], [5000, 5247], [6099, 10817], [9545, 9930], [2452, 10667], [4504, 11432], [5161, 9487], [54, 9238], [3910, 4277], [3536, 8008], [4549, 7418], [3339, 10877], [6487, 10525], [2991, 7161], [3648, 5216], [3861, 6263], [4762, 11094], [2398, 2860], [2771, 8326], [431, 4650], [8739, 10597], [3207, 11108], [924, 1550], [3234, 6515], [1303, 10214], [6530, 9067], [6101, 6675], [5562, 5643], [3881, 8019], [639, 7955], [4247, 5144], [2292, 8449], [4783, 9288], [8754, 11255], [548, 8968], [4865, 7408], [8108, 10326], [3942, 7891], [632, 1499], [100, 3890], [141, 3891], [7517, 9858], [3059, 7049], [380, 6159], [1541, 6945], [1658, 7530], [4856, 6541], [8438, 9679], [253, 8269], [1898, 3984], [5509, 5608], [1687, 2983], [4550, 6434], [10271, 11457], [2016, 5144], [7900, 8468], [1398, 6263], [529, 3599], [3603, 7270], [2858, 7116], [3942, 6736], [2230, 2629], [10380, 11400], [5151, 10222], [1398, 9646], [2007, 10693], [1821, 8059], [4491, 11115], [1655, 10241], [2693, 11371], [6430, 11414], [7077, 8781], [702, 1433], [1220, 3116], [7233, 9294], [1682, 11283], [1773, 4985], [465, 11319], [6659, 9207], [4854, 9073], [8534, 8582], [3573, 7404], [1706, 6392], [4290, 10428], [3333, 7917], [5045, 5608], [3569, 4252], [3360, 4078], [1354, 5940], [5073, 11039], [3069, 3148], [1422, 10016], [8855, 10101], [3313, 3508], [4842, 7908], [554, 10960], [401, 3548], [4656, 5274], [6712, 6939], [5313, 7493], [482, 2224], [2424, 9237], [239, 3220], [6436, 11205], [3253, 8338], [6498, 7919], [887, 3441], [4818, 6733], [5924, 8586], [884, 9559], [7303, 10009], [10818, 11171], [5240, 11337], [3657, 3668], [4242, 6573], [4646, 11352], [7672, 11569], [7318, 11071], [623, 8471], [2653, 11167], [1536, 10653], [2395, 6213], [9802, 10739], [4855, 8493], [4773, 9592], [2187, 8893], [7820, 9188], [158, 9805], [991, 3390], [87, 11093], [2587, 3350], [1962, 3298], [9269, 10626], [4601, 7795], [3381, 3396], [3883, 4546], [4779, 9787], [2291, 5459], [4285, 8498], [1210, 5356], [5067, 9665], [4069, 11317], [3221, 9530], [3627, 3802], [4155, 6173], [1039, 9446], [1980, 7260], [6328, 9177], [700, 2810], [2754, 10818], [853, 3806], [1598, 4714], [3376, 9818], [117, 6367], [1163, 8169], [3253, 10916], [1039, 6413], [5111, 8432], [4550, 10085], [2776, 5100], [2283, 11583], [8071, 8783], [1774, 2846], [6011, 7376], [5893, 8818], [1781, 7400], [9809, 10324], [8276, 8434], [6371, 11102], [1772, 3150], [2269, 3956], [555, 5438], [9610, 10114], [5625, 6559], [4754, 7232], [8680, 10180], [2544, 9264], [5337, 6277], [10153, 10514], [102, 10946], [4424, 7478], [6459, 10518], [8043, 8963], [6518, 11098], [3705, 11174], [5361, 11185], [1521, 8011], [3761, 8073], [2773, 10413], [8747, 10247], [6186, 11298], [3488, 3942], [5072, 8049], [3575, 8068], [10397, 10443], [2324, 2858], [5847, 11051], [1112, 9654], [5444, 6874], [729, 9889], [4753, 6956], [3502, 10414], [4626, 10564], [356, 1390], [6988, 9303], [4438, 11267], [1840, 9053], [697, 7318], [1313, 9536], [6576, 10298], [416, 5578], [10586, 11439], [9779, 10407], [823, 9120], [6014, 8316], [283, 5234], [4801, 5842], [4553, 5740], [3822, 5292], [432, 8740], [6530, 10303], [750, 11466], [9461, 11414], [4198, 4236], [2988, 8449], [1603, 2293], [2420, 2515], [1518, 10291], [6308, 8389], [2739, 10374], [8209, 8985], [4061, 7910], [365, 1452], [57, 3551], [977, 2016], [6054, 10724], [6584, 7506], [5493, 5961], [9598, 10372], [8882, 10956], [1198, 1426], [2495, 6257], [3467, 4138], [1531, 6739], [2938, 10210], [6678, 9770], [4550, 10703], [218, 651], [572, 1149], [2188, 2515], [5109, 9354], [5756, 6721], [1256, 11580], [3538, 4728], [10337, 11061], [5511, 6890], [4518, 8132], [3021, 5899], [3014, 4728], [5567, 9451], [4693, 6443], [5188, 10586], [9152, 9854], [4472, 4754], [360, 3336], [2820, 5616], [10729, 11292], [7365, 9545], [300, 2504], [7175, 9421], [2636, 6438], [4714, 7670], [1942, 10753], [7366, 10120], [8009, 9997], [8107, 11286], [2350, 2819], [6830, 7107], [3769, 9333], [2289, 4795], [4763, 10945], [3051, 6838], [4299, 9498], [1966, 2829], [8029, 8370], [3772, 10735], [1837, 4112], [2769, 10508], [2117, 6381], [4634, 8441], [1303, 3424], [6216, 10223], [454, 8582], [4528, 5012], [240, 7310], [1914, 2265], [6979, 9458], [5553, 10818], [6546, 9576], [7384, 10675], [5833, 7425], [8508, 10825], [5767, 9057], [6460, 6769], [6629, 8298], [1441, 8619], [3332, 8527], [2712, 6567], [3018, 10057], [2961, 9523], [3049, 5206], [2708, 9077], [7157, 7636], [1131, 11022], [8335, 11055], [7975, 10712], [5281, 8790], [7212, 10726], [336, 10000], [2891, 9134], [1703, 3492], [1073, 9512], [2513, 2543], [5956, 8555], [1200, 9287], [2633, 7563], [8111, 9445], [1439, 5139], [1879, 11073], [6435, 8001], [3309, 9832], [9200, 10163], [1251, 5088], [2061, 10555], [2282, 9211], [4245, 10685], [8914, 10708], [6486, 7185], [1531, 4324], [1658, 6351], [4454, 7826], [192, 5683], [2093, 10443], [6953, 10034], [723, 5319], [6258, 8489], [6340, 10773], [8057, 8808], [1775, 3903], [6624, 7499], [2668, 8092], [1644, 8523], [434, 5566], [231, 10899], [5628, 8443], [5339, 8340], [485, 2121], [3033, 10664], [5428, 7631], [5147, 11553], [5558, 6923], [4054, 9935], [4188, 5963], [9566, 11401], [5524, 10722], [7350, 8700], [497, 5514], [4699, 10989], [7135, 7957], [6259, 11292], [7276, 7438], [655, 3067], [4220, 4346], [2265, 6897], [6158, 7453], [365, 3493], [303, 2615], [5807, 6472], [1418, 2302], [1982, 4330], [8680, 10611], [1990, 8355], [10161, 11587], [680, 8200], [5582, 7293], [1443, 6681], [9564, 10550], [8325, 9107], [726, 7040], [9027, 9564], [1940, 4454], [4651, 10517], [6172, 10892], [1598, 11106], [2990, 8627], [2453, 9176], [1069, 10762], [374, 3555], [2712, 4152], [1533, 9176], [4350, 5866], [2116, 2586], [2207, 9120], [9772, 10822], [6752, 7387], [8899, 10668], [4345, 8151], [2297, 4849], [8857, 10442], [1887, 6671], [3349, 3433], [7490, 7501], [10356, 10469], [169, 1995], [5345, 10682], [2343, 3689], [6233, 11144], [3998, 11426], [4488, 4645], [4097, 4989], [1748, 9895], [8348, 9225], [1039, 5234], [3408, 7396], [4676, 7325], [5457, 7890], [7162, 10826], [937, 11373], [1960, 10717], [8159, 9703], [781, 10079], [2250, 8012], [3800, 6873], [5481, 9415], [2619, 3156], [284, 6240], [6321, 10560], [58, 9869], [7429, 9076], [7023, 7634], [2269, 2777], [6775, 7532], [6529, 11263], [1016, 3156], [2974, 4286], [1081, 3551], [3887, 6468], [3252, 5728], [588, 10034], [5490, 9127], [3814, 4677], [3372, 4332], [3853, 11021], [5744, 10175], [6826, 7470], [3618, 10400], [2816, 9712], [318, 532], [2379, 2541], [7019, 10494], [107, 10111], [314, 1544], [6332, 7312], [4401, 11011], [7352, 10145], [8410, 9298], [1586, 4598], [976, 9742], [2091, 9429], [185, 2073], [1062, 2346], [509, 11030], [869, 4957], [8926, 11285], [2026, 7499], [438, 5902], [557, 898], [6317, 8882], [1400, 2341], [428, 5214], [8053, 11131], [7181, 11202], [1900, 2664], [8436, 10869], [372, 1118], [1397, 8459], [8776, 10937], [8060, 11521], [2852, 10466], [6400, 7604], [796, 6549], [2425, 8901], [5334, 7809], [1796, 11359], [7057, 9042], [1988, 11529], [4521, 8460], [1997, 2223], [1661, 8690], [3725, 10970], [6177, 8471], [3190, 7428], [6700, 8246], [6166, 7558], [3464, 9128], [3904, 9400], [6235, 8826], [3701, 9071], [5982, 9134], [6264, 8066], [230, 1011], [6358, 11111], [1874, 10087], [3330, 3651], [2239, 4358], [2082, 10790], [8348, 10998], [6158, 10299], [3795, 11335], [1388, 6437], [467, 9999], [5653, 8851], [1047, 6144], [278, 678], [2234, 7397], [7774, 10911], [3073, 11350], [9198, 11353], [19, 2669], [48, 7571], [3950, 5961], [10450, 11503], [3722, 6511], [2192, 10554], [8083, 9387], [5127, 9909], [2856, 4118], [5495, 7861], [2749, 9913], [942, 8952], [3569, 9652], [847, 5682], [1316, 10856], [2522, 3491], [1617, 5334], [4390, 5105], [971, 4405], [4552, 9570], [4633, 8246], [2298, 11330], [556, 11518], [4293, 10807], [7937, 8407], [5530, 9925], [1682, 6079], [1455, 6854], [3667, 4868], [7490, 10347], [1741, 6659], [5003, 9627], [1261, 2824], [5379, 5942], [3809, 10586], [507, 8219], [7616, 9116], [5770, 8981], [8249, 9059], [8376, 10332], [3097, 9791], [2715, 8743], [1724, 5150], [2428, 3051], [9977, 10636], [1010, 5807], [4394, 8206], [8776, 11205], [6453, 9388], [1837, 2583], [1055, 8209], [6815, 9777], [7153, 9772], [4197, 10294], [1561, 3816], [5853, 8053], [8678, 11020], [712, 2558], [3757, 6989], [3413, 7179], [8865, 10846], [5537, 9510], [679, 9965], [4099, 7857], [166, 3738], [50, 6007], [4460, 4638], [2290, 10233], [1251, 4714], [7756, 11354], [1663, 7102], [3373, 10382], [4586, 10604], [9347, 10216], [1007, 7737], [7941, 10353], [7512, 7961], [3778, 5183], [6383, 10096], [8690, 11380], [339, 2353], [1849, 9709], [1627, 4412], [3641, 8103], [2146, 2533], [8221, 9589], [3415, 6070], [5378, 7544], [1618, 3545], [680, 5248], [6184, 9105], [248, 9755], [246, 8928], [4594, 6681], [9117, 11043], [2703, 4521], [304, 5900], [3690, 11378], [710, 926], [3137, 4224], [2194, 5583], [5865, 7258], [3007, 4905], [1232, 6111], [6395, 7423], [3494, 7652], [1725, 9427], [4526, 5584], [3003, 4382], [1038, 6245], [7938, 8496], [276, 2697], [10246, 11136], [2108, 5408], [7195, 8388], [5636, 10939], [4098, 8705], [5882, 7962], [2805, 10409], [1432, 6522], [7533, 7629], [797, 5028], [2080, 6743], [2606, 6035], [6897, 7418], [6608, 7315], [2265, 3490], [5023, 5235], [2545, 5759], [5210, 11477], [7882, 11196], [3217, 11292], [1111, 3848], [8356, 10298], [3300, 10014], [9571, 10566], [1073, 4495], [479, 10172], [8414, 10653], [288, 778], [5952, 6048], [191, 7261], [1182, 4438], [4795, 6135], [505, 1944], [7939, 11299], [1181, 4967], [8242, 8856], [6067, 9189], [1836, 6359], [1646, 6235], [5932, 6520], [1587, 2622], [8966, 11516], [5281, 6001], [745, 8197], [9040, 9775], [2202, 5369], [5672, 9040], [9135, 10012], [2626, 6636], [322, 4869], [1411, 9751], [2192, 3146], [827, 3284], [5765, 8450], [2573, 6221], [4304, 8126], [1102, 5209], [2313, 5358], [5616, 8327], [626, 2247], [3611, 7381], [3557, 10528], [2499, 4959], [3514, 7448], [6731, 11397], [8438, 8744], [2022, 5559], [505, 7555], [8557, 9375], [7595, 10684], [2641, 10677], [4294, 11171], [4382, 6854], [1181, 7545], [6090, 7055], [9636, 9782], [8896, 9972], [1294, 10640], [2345, 6370], [3716, 10184], [1536, 3757], [2064, 10292], [3786, 8671], [512, 4188], [5498, 6362], [8887, 11357], [195, 2037], [1905, 9481], [265, 1278], [4024, 11468], [2157, 10456], [6799, 8656], [5488, 9057], [1716, 5795], [5021, 10345], [8032, 9530], [7107, 9940], [1747, 9245], [441, 5826], [10525, 11169], [10585, 11220], [4601, 10698], [4945, 10508], [1378, 6904], [7530, 10982], [3229, 6659], [615, 11082], [1119, 1725], [2449, 9702], [6869, 9021], [1870, 9995], [2791, 6433], [5466, 6423], [175, 10029], [1706, 2424], [3225, 6890], [8510, 11383], [4938, 7435], [9255, 9285], [5559, 9997], [4776, 8605], [2569, 5273], [6121, 11198], [6897, 11419], [7772, 10865], [7423, 10711], [1979, 6905], [6743, 10952], [2182, 7264], [8348, 10274], [1557, 10595], [587, 1463], [1192, 9908], [4892, 10069], [5286, 9996], [1024, 11263], [532, 5139], [8098, 9695], [6350, 10095], [2324, 3533], [5190, 6501], [1394, 10015], [592, 8573], [10050, 10256], [296, 7299], [2610, 3338], [270, 6078], [8419, 10460], [4811, 6855], [3061, 6428], [5683, 6784], [1786, 3076], [4368, 6285], [538, 3799], [3865, 5664], [3560, 11444], [3627, 6250], [982, 11360], [7642, 7735], [2506, 9000], [10123, 10892], [4299, 5367], [2284, 3703], [1626, 5423], [1184, 5078], [2462, 5695], [2343, 4283], [4698, 8267], [3335, 9232], [7036, 9618], [4018, 8508], [4006, 11157], [251, 10508], [4508, 5891], [5294, 6800], [6438, 11389], [1899, 10658], [4315, 6250], [3542, 9710], [6682, 7585], [2081, 3724], [5224, 5280], [1769, 8333], [1757, 6818], [5531, 9372], [455, 10688], [5806, 11297], [256, 4062], [1317, 6896], [1530, 7943], [3338, 5342], [4487, 10275], [5385, 5763], [7466, 10676], [403, 10124], [6530, 6790], [4291, 10336], [10330, 10565], [7467, 7868], [192, 9123], [1086, 6367], [1668, 3339], [2051, 9493], [4544, 6995], [3445, 7841], [1180, 10166], [8210, 8326], [6925, 10702], [2754, 7923], [4682, 10342], [5308, 9084], [5567, 10476], [5379, 11179], [3103, 5044], [761, 11121], [2631, 5988], [602, 6146], [5896, 6221], [230, 4288], [6449, 8090], [10094, 10796], [9898, 10884], [6756, 8018], [1020, 5346], [502, 3663], [1334, 6445], [717, 11172], [7243, 11519], [4036, 8258], [4624, 8428], [711, 10603], [5974, 11365], [6786, 7079], [5320, 6411], [4881, 9747], [2285, 8360], [6185, 11585], [5647, 8526], [2883, 9218], [2970, 5430], [1755, 8545], [5870, 7228], [3038, 3844], [6207, 10785], [4126, 4337], [41, 6994], [6080, 7977], [787, 8504], [2838, 5661], [8880, 10325], [7445, 11222], [8873, 9154], [340, 11198], [5534, 6905], [1802, 7960], [4262, 9486], [5038, 9707], [1583, 8596], [9048, 10848], [2515, 7078], [4471, 7381], [1893, 10707], [685, 4413], [6024, 9923], [4195, 5231], [5967, 9389], [4260, 6380], [20, 11378], [6524, 7994], [4636, 8357], [1238, 6282], [6083, 10503], [6556, 6751], [7241, 10237], [71, 11316], [3617, 7627], [4651, 6386], [4238, 10189], [3035, 8403], [255, 1045], [1786, 6272], [4126, 9948], [1126, 7165], [2466, 9414], [1831, 8674], [3737, 9614], [2961, 2977], [2049, 3649], [3852, 7120], [4048, 4780], [7279, 8435], [2083, 2479], [2833, 7895], [2695, 7961], [3457, 4312], [1738, 9614], [5685, 6269], [10459, 11004], [122, 5215], [5781, 6731], [4576, 10534], [1739, 6052], [1147, 1976], [4409, 4944], [5284, 9308], [8854, 10177], [4502, 11524], [5247, 9426], [4218, 5349], [11, 7077], [1667, 11252], [7083, 8092], [512, 8002], [2901, 11570], [10678, 10711], [4482, 9744], [6131, 8584], [7368, 7702], [5506, 7034], [4456, 7742], [6414, 8872], [318, 939], [4485, 6982], [366, 10055], [1744, 2208], [7812, 8093], [176, 3515], [4200, 6998], [2832, 9871], [6533, 7251], [1495, 4887], [7185, 11378], [577, 2361], [364, 4697], [8982, 10870], [2072, 4898], [945, 3696], [3661, 3687], [4626, 6059], [2625, 8265], [3812, 9518], [6587, 10870], [8161, 8627], [5425, 6449], [8627, 9366], [413, 3054], [1008, 11565], [7675, 11363], [1382, 6299], [506, 7382], [2032, 8101], [5953, 9951], [4487, 9283], [4645, 10623], [2083, 10318], [3676, 10761], [4359, 10037], [3079, 6341], [1957, 5483], [2984, 9487], [6968, 9407], [1209, 10693], [6503, 11522], [6086, 11419], [1855, 8589], [3446, 8205], [3475, 8943], [7805, 9500], [9357, 9942], [7110, 8709], [5711, 9263], [2108, 6002], [8102, 9494], [2283, 4313], [6835, 10167], [5245, 6989], [849, 5812], [2463, 2968], [4214, 6249], [2001, 2348], [1660, 8471], [6510, 7374], [10159, 10980], [6177, 11106], [6110, 9884], [2376, 7106], [1182, 4682], [443, 7726], [1742, 9220], [2924, 7877], [5513, 8847], [5224, 8744], [626, 10062], [1989, 7599], [5072, 8350], [1738, 3816], [9048, 10661], [7611, 8479], [5632, 7226], [2075, 5838], [3448, 4063], [3662, 7964], [6864, 10881], [3932, 9545], [1796, 9806], [1788, 3529], [4798, 5495], [2962, 3796], [785, 9718], [2965, 3313], [979, 10715], [9881, 10985], [9339, 10436], [3864, 5065], [6283, 7344], [1224, 10519], [1436, 1542], [6666, 10492], [38, 5704], [3209, 7056], [2394, 11044], [2263, 7363], [6502, 8556], [4297, 10932], [858, 1686], [954, 8564], [4572, 6441], [1511, 9421], [955, 11418], [666, 4899], [3121, 6835], [3628, 8329], [4130, 9479], [4990, 7893], [1920, 11511], [4059, 4351], [2314, 4268], [3157, 5711], [939, 9380], [5108, 9834], [2592, 9874], [10472, 10648], [8631, 10857], [384, 8569], [7748, 10015], [7, 6367], [6297, 11133], [2892, 7133], [3024, 3088], [2580, 5326], [501, 6121], [3106, 4618], [5141, 8412], [1490, 7389], [6728, 10538], [9118, 11325], [3664, 6831], [5935, 6206], [8579, 10293], [2884, 3458], [4850, 8613], [2508, 10526], [1331, 9961], [1417, 2565], [574, 1122], [6404, 8347], [8706, 9287], [5621, 6955], [6247, 9861], [8513, 8892], [452, 3576], [6639, 6709], [2783, 9418], [2571, 11225], [3927, 7591], [8018, 8132], [2758, 11051], [1344, 6409], [4515, 7761], [1029, 5085], [10003, 11085], [1784, 10845], [6071, 10574], [8099, 10191], [1998, 2668], [9432, 11269], [6906, 11375], [29, 2877], [4803, 7612], [1455, 4146], [4080, 11189], [2117, 3299], [1681, 10316], [5848, 9189], [5626, 10308], [10853, 11413], [8119, 8564], [2257, 2555], [6470, 8943], [1210, 7698], [9823, 11275], [8928, 9642], [3918, 7074], [8181, 8661], [304, 11568], [182, 4223], [273, 3587], [5780, 6961], [6766, 8712], [3562, 4968], [482, 7144], [4747, 9558], [4064, 10282], [9265, 10166], [6423, 7592], [2035, 10440], [7396, 8327], [7332, 10786], [2782, 9142], [2001, 2161], [4707, 9378], [2899, 3311], [1063, 3864], [1164, 3916], [4889, 8860], [2380, 10825], [3803, 8413], [902, 8642], [4494, 5298], [5261, 7685], [409, 2293], [7007, 10622], [1900, 10373], [2982, 7668], [900, 8946], [1084, 5091], [4953, 6751], [53, 3597], [3814, 8198], [4352, 11257], [390, 738], [8142, 8682], [993, 1940], [9076, 9489], [4938, 9102], [5834, 9425], [757, 5635], [5488, 6536], [4940, 9148], [3216, 9942], [3971, 9286], [4645, 8476], [882, 7212], [3375, 5468], [572, 2068], [694, 1499], [2022, 2233], [4769, 9451], [72, 5128], [8318, 10197], [529, 8787], [746, 908], [3638, 9261], [3674, 4754], [85, 5363], [4489, 10565], [2622, 3137], [7597, 10814], [5190, 8168], [4849, 7875], [5935, 6824], [3295, 11524], [1676, 8362], [7330, 8780], [2952, 8152], [2740, 10713], [1539, 11282], [985, 3526], [4997, 5494], [2256, 7136], [6676, 7209], [7118, 7554], [6548, 7963], [1634, 5103], [1332, 10400], [3433, 6920], [267, 4414], [547, 6683], [3092, 4375], [9189, 9500], [6608, 9145], [4485, 6258], [758, 4651], [1773, 7140], [5855, 9847], [1748, 8773], [4549, 11346], [7375, 10751], [7036, 11285], [8247, 10680], [4973, 6197], [8713, 9921], [270, 3557], [2664, 7469], [8512, 8884], [7674, 7785], [9355, 10327], [6063, 10900], [4384, 9185], [3534, 4319], [1359, 5406], [3224, 5591], [309, 6114], [9201, 9860], [890, 5867], [4341, 9488], [1817, 5503], [2131, 11520], [574, 4318], [3621, 6166], [2843, 2866], [1874, 3004], [4083, 7917], [3248, 10499], [910, 3486], [9342, 11189], [2778, 5854], [4522, 7964], [4763, 11059], [105, 8162], [5785, 7549], [4174, 10664], [1347, 7624], [5674, 10916], [1056, 6694], [3461, 8513], [4920, 8010], [806, 5765], [7404, 8432], [532, 5196], [1805, 5469], [1988, 10057], [670, 10041], [10165, 10825], [2083, 10294], [767, 6941], [7546, 7734], [1672, 2846], [4091, 10787], [3468, 5146], [2387, 11459], [6273, 10090], [2065, 2548], [5903, 9059], [1972, 6521], [887, 8174], [5543, 10244], [4434, 8093], [5363, 8556], [3207, 3277], [1620, 10950], [218, 5571], [8039, 11400], [720, 6721], [9529, 10210], [935, 4431], [3147, 6609], [7011, 7925], [5292, 6811], [8401, 9537], [1861, 4596], [10171, 10616], [5415, 11348], [6435, 7765], [8608, 10015], [4229, 6533], [1238, 2338], [1420, 3318], [2263, 4761], [7149, 9737], [5750, 11045], [9693, 10210], [5429, 11404], [4206, 8242], [850, 4858], [9569, 9585], [6396, 11570], [7501, 10569], [508, 10756], [3218, 7549], [917, 9463], [5384, 8628], [8909, 10478], [1502, 5952], [122, 4304], [2680, 9371], [311, 7209], [1219, 9801], [3485, 8078], [2019, 7410], [2117, 4535], [8068, 9081], [5719, 8325], [5667, 8135], [3571, 7071], [997, 1471], [3729, 7657], [2367, 11476], [2856, 8257], [4602, 4778], [2893, 10768], [1324, 9221], [3478, 7257], [8860, 10185], [1692, 11337], [1198, 4386], [3130, 3541], [327, 5059], [2870, 9094], [4005, 10157], [3286, 4054], [1637, 10849], [698, 3282], [3184, 3777], [2946, 11533], [7361, 10508], [7294, 9286], [7664, 8065], [7386, 11504], [1913, 3550], [2322, 7919], [3874, 8361], [5274, 10661], [5976, 7735], [5456, 9389], [6040, 6407], [2086, 8581], [1489, 4161], [3882, 10881], [153, 2785], [1233, 9833], [2141, 5255], [7336, 10986], [5898, 5950], [366, 6461], [2389, 8740], [6401, 9954], [4586, 9132], [7424, 10052], [2694, 5589], [3124, 11589], [8380, 8928], [3123, 11364], [793, 9130], [230, 9956], [6665, 10939], [7262, 8943], [688, 4418], [605, 9079], [5015, 7710], [6725, 8738], [1338, 6220], [5955, 6053], [1802, 4634], [1366, 7487], [2799, 3511], [1739, 3531], [1372, 8433], [1437, 3166], [2954, 3799], [989, 8668], [4631, 4687], [1399, 10229], [895, 6000], [9761, 10023], [112, 4608], [1679, 6082], [2952, 6355], [2503, 9003], [9703, 10018], [1726, 9311], [4184, 10010], [5061, 11037], [10, 1298], [5486, 9523], [5362, 7767], [10116, 10372], [5210, 8127], [5361, 7542], [1505, 3835], [4180, 10241], [4300, 8091], [1344, 2197], [57, 3746], [554, 10968], [2801, 5785], [6034, 10267], [3947, 9666], [4360, 5863], [3603, 9856], [2330, 3167], [2204, 3994], [6817, 7872], [6345, 8816], [6344, 10843], [2485, 3455], [2442, 6791], [6242, 10566], [4406, 11119], [366, 4851], [3752, 10329], [7114, 11249], [8755, 9474], [6549, 8996], [5993, 6829], [1881, 5411], [5463, 7795], [2013, 7782], [790, 3866], [2125, 8023], [392, 3039], [2905, 8363], [1133, 4205], [4209, 10955], [8071, 9946], [6393, 11085], [2310, 3989], [216, 3752], [2650, 4811], [2113, 6858], [3582, 11207], [1117, 2921], [3792, 8573], [2990, 7131], [3267, 9883], [7398, 9099], [3175, 10294], [656, 7407], [3947, 8861], [4061, 4267], [5913, 7600], [3162, 9308], [6584, 10279], [3346, 5453], [737, 9466], [4469, 5001], [3820, 10971], [6560, 9104], [736, 9995], [5309, 9556], [4970, 5926], [3150, 4760], [6489, 10392], [1544, 8219], [4097, 6526], [3968, 7836], [8419, 8720], [5864, 8088], [2435, 8198], [8226, 9079], [2004, 9143], [9493, 9537], [6571, 8889], [5050, 8514], [4704, 7877], [4917, 8924], [4636, 8682], [3985, 11573], [960, 10046], [2072, 3800], [462, 9769], [1243, 10334], [3796, 8641], [1060, 10627], [4040, 9001], [5647, 8396], [5223, 6348], [2069, 6131], [981, 11273], [8336, 9193], [4304, 9232], [1666, 8343], [451, 11458], [379, 9892], [10556, 11262], [3469, 6152], [1015, 7070], [9064, 9373], [4361, 6733], [534, 10180], [1177, 4395], [678, 6926], [1870, 8523], [366, 5119], [8025, 10620], [681, 9826], [5882, 7458], [423, 3374], [6090, 8161], [3232, 5808], [2702, 9026], [9299, 11468], [8950, 11314], [3819, 5753], [444, 10263], [2624, 10274], [5989, 10711], [1980, 6008], [7768, 9624], [4704, 5917], [1569, 4222], [3193, 6230], [4774, 5158], [5142, 9526], [1009, 9483], [384, 3015], [6669, 7437], [287, 9498], [3995, 4639], [4234, 6907], [230, 2548], [3986, 6805], [1985, 2595], [4205, 11050], [1657, 7425], [6568, 6981], [1480, 4530], [9673, 9965], [1087, 8211], [1390, 1604], [2415, 8945], [1957, 7313], [1671, 6727], [2442, 6604], [1795, 2821], [1456, 3355], [3567, 11143], [5936, 6889], [3448, 9731], [5617, 10327], [5082, 7539], [49, 3267], [11163, 11377], [6619, 10302], [4365, 5646], [7348, 9199], [720, 8575], [9381, 9914], [389, 8970], [4044, 6005], [1757, 6851], [692, 6527], [3982, 5127], [3400, 5903], [4917, 9542], [5698, 10107], [1894, 2426], [1348, 5111], [3583, 4829], [5097, 8197], [1807, 3181], [6251, 7058], [738, 6121], [9304, 9852], [1142, 3730], [553, 9751], [2514, 10398], [1831, 11122], [4037, 5184], [1179, 6995], [2509, 10054], [7020, 9491], [7431, 8271], [1667, 9967], [2571, 7899], [2320, 4116], [291, 11444], [3035, 6313], [3468, 9578], [6556, 11427], [1534, 7344], [9572, 10956], [4555, 7217], [2406, 3109], [2287, 5861], [3345, 4260], [4150, 9383], [657, 9700], [6739, 7347], [6541, 7362], [7191, 10662], [6915, 8512], [2584, 8484], [4953, 10646], [3308, 8515], [1770, 5527], [2150, 5748], [1611, 11132], [718, 3910], [10950, 11403], [2431, 10871], [3548, 4969], [991, 9172], [3575, 9044], [3642, 11020], [3105, 10815], [6226, 8640], [705, 2924], [7119, 9446], [3975, 9917], [3569, 9229], [1992, 11174], [7395, 7809], [6276, 11386], [4029, 10153], [5876, 7480], [7335, 11141], [6265, 10473], [3619, 5559], [9229, 9812], [2846, 3357], [263, 8591], [3372, 9065], [2815, 6673], [3429, 8818], [103, 7555], [1319, 8048], [6083, 11341], [7439, 7707], [5047, 10257], [2435, 10589], [4517, 7059], [3488, 7146], [2610, 8900], [10465, 11307], [59, 10639], [3478, 4923], [2932, 8362], [582, 3998], [6497, 8887], [3197, 9599], [5005, 6998], [2975, 4302], [6190, 11588], [5806, 8215], [831, 10337], [9102, 10767], [2128, 8752], [1692, 9353], [5026, 8225], [2218, 4481], [1380, 1884], [4375, 6952], [2288, 3722], [3781, 6213], [668, 9003], [6858, 7149], [1335, 1360], [4054, 11448], [2607, 8578], [4611, 5889], [6347, 8138], [4263, 8589], [6809, 9889], [3380, 7747], [8309, 9387], [1590, 8645], [3825, 8363], [184, 2366], [6309, 8785], [5777, 8924], [5128, 10730], [6439, 8077], [7743, 9915], [1669, 10631], [1638, 2650], [1101, 4697], [2045, 6192], [2778, 3333], [3533, 4929], [5145, 11084], [6148, 8278], [4307, 7733], [4644, 7126], [7856, 8479], [4776, 6491], [6921, 7447], [4555, 11218], [1415, 2763], [1584, 4292], [563, 10656], [4820, 6039], [2123, 7953], [1495, 4220], [5044, 11382], [555, 2844], [10585, 11334], [8780, 11200], [2801, 11022], [10884, 11401], [5541, 8401], [460, 9373], [832, 2563], [4321, 4756], [5092, 11049], [2180, 11089], [8832, 10609], [2144, 2764], [1767, 2814], [6371, 8858], [6159, 10665], [7300, 11573], [10352, 11513], [7236, 7616], [2289, 4616], [5059, 5624], [1475, 6577], [146, 2208], [6491, 10091], [755, 3255], [9471, 10717], [1785, 10940], [515, 7178], [4173, 4484], [10503, 11278], [125, 6242], [68, 9872], [412, 9682], [1441, 3179], [2394, 8954], [6820, 11471], [7340, 7565], [1643, 10483], [153, 5257], [4979, 9428], [2804, 4099], [8939, 11206], [2671, 10925], [2795, 6265], [8090, 9948], [1481, 8620], [2921, 8067], [9017, 9584], [3550, 11244], [3607, 5362], [1117, 11541], [5305, 11291], [4852, 10003], [8770, 8926], [5318, 9244], [1607, 4006], [6154, 9516], [1269, 8148], [321, 1993], [8695, 9691], [1190, 8040], [4032, 10614], [5209, 11179], [1348, 2964], [1098, 9205], [1246, 9103], [7727, 10431], [406, 11341], [3959, 4659], [4179, 6877], [378, 10047], [1563, 8221], [1489, 5828], [365, 8307], [1676, 5654], [2266, 2487], [4786, 11234], [5758, 8361], [1272, 10674], [5004, 10373], [6931, 11436], [675, 6254], [1239, 1866], [4043, 10372], [5411, 8253], [2880, 7261], [7236, 9039], [8956, 10755], [5802, 11292], [1053, 2615], [2689, 6912], [5151, 10019], [9328, 9580], [3905, 7405], [5618, 5698], [857, 6086], [3179, 7678], [1441, 4602], [8072, 9661], [4961, 6862], [1568, 4377], [3175, 10188], [8042, 10950], [4675, 10440], [9750, 11151], [2920, 3253], [9505, 11320], [4987, 8460], [5453, 9953], [5854, 11051], [27, 10890], [868, 11506], [2520, 2730], [5006, 6231], [56, 3714], [1890, 8750], [3197, 8607], [7056, 9579], [1361, 2744], [5003, 5179], [7466, 11140], [16, 9950], [5036, 10954], [3990, 9182], [227, 7918], [3367, 3541], [8674, 10237], [168, 4305], [6986, 10688], [3184, 3834], [668, 11044], [7645, 10324], [6643, 8070], [2428, 5019], [2310, 6461], [166, 6861], [1059, 7667], [622, 7666], [8311, 8872], [10141, 10756], [4086, 9240], [3205, 11477], [5173, 6879], [7773, 11448], [5792, 8614], [2456, 3253], [5757, 10313], [1296, 3823], [7966, 8056], [1736, 4095], [1708, 8463], [1152, 10460], [2422, 7806], [111, 9032], [4469, 7473], [2180, 10902], [2423, 8408], [274, 4300], [4120, 9948], [8022, 8338], [6305, 10303], [2698, 9552], [6764, 8373], [2528, 4445], [6791, 10196], [356, 2797], [7458, 9693], [5144, 7238], [4710, 10918], [1231, 2997], [3562, 8839], [3245, 6688], [1374, 1770], [4049, 11586], [190, 4198], [7130, 10012], [3706, 8968], [530, 856], [2026, 9280], [4734, 9410], [5078, 9220], [10109, 10413], [1902, 5272], [527, 10384], [2397, 5251], [11082, 11148], [7935, 7938], [1798, 4168], [32, 9624], [2329, 10220], [1266, 4307], [5309, 7840], [1363, 7623], [544, 5076], [4186, 7511], [2228, 7135], [8394, 9391], [242, 3957], [8602, 10094], [102, 7360], [2942, 9107], [3408, 10600], [5679, 9975], [4342, 4991], [794, 7853], [5238, 9478], [5176, 8600], [1064, 3018], [7204, 11223], [5544, 7306], [1590, 8726], [2500, 4975], [10865, 11456], [4275, 7152], [4609, 6274], [194, 883], [5799, 11208], [8930, 8997], [432, 9342], [4384, 7095], [10770, 11569], [5099, 9292], [3793, 10037], [2982, 7351], [2041, 3121], [463, 1458], [3847, 10273], [6221, 6363], [3222, 10221], [4316, 9031], [9701, 11476], [6210, 8456], [3758, 4539], [4558, 8564], [4598, 11346], [5457, 6906], [1169, 9958], [2778, 3764], [5437, 8883], [8759, 10404], [951, 4780], [6734, 8052], [2274, 11586], [5209, 10187], [658, 7941], [4198, 10099], [3119, 6659], [490, 2880], [1994, 3251], [1923, 4539], [5291, 8657], [6960, 8930], [2345, 2727], [7958, 11415], [7607, 10434], [5926, 7892], [2944, 7193], [6989, 11553], [5554, 6034], [6387, 6789], [209, 6371], [6020, 8658], [2534, 5982], [2748, 3467], [1492, 10745], [6297, 10629], [1340, 6941], [1185, 9282], [5665, 7154], [6625, 9182], [651, 2932], [6588, 9300], [1486, 2979], [2297, 5638], [5504, 8899], [896, 9529], [6457, 7504], [235, 7568], [2692, 6167], [3975, 7128], [5523, 10080], [7758, 9044], [1968, 3103], [350, 11463], [1338, 2707], [3063, 11183], [1256, 10222], [1932, 6829], [2687, 5419], [10550, 10750], [218, 6059], [819, 7188], [4196, 8416], [8955, 11365], [2981, 11531], [744, 8734], [6212, 6518], [2540, 8001], [4929, 11569], [1049, 9720], [75, 5350], [3908, 11517], [166, 4714], [4935, 9105], [1855, 11281], [3720, 5804], [6987, 9116], [2374, 9402], [1063, 6393], [3843, 7335], [4022, 5388], [1437, 8297], [7357, 11278], [129, 8215], [3152, 9669], [2242, 7004], [497, 505], [3167, 3561], [11544, 11557], [215, 11372], [709, 1327], [4170, 6390], [4875, 7145], [1428, 4397], [3193, 5132], [7957, 8425], [705, 1558], [1360, 2950], [3218, 6882], [6798, 8439], [2634, 6831], [4874, 6893], [1424, 3874], [5837, 6186], [5742, 9332], [10281, 10817], [3249, 5414], [7848, 10360], [6795, 8141], [6081, 6546], [7765, 8605], [971, 9032], [4926, 10466], [8348, 11437], [2617, 8355], [4611, 4978], [3427, 7406], [9533, 9611], [5797, 10170], [7574, 9010], [2825, 6025], [1467, 6580], [10737, 11218], [723, 5116], [1580, 4013], [4169, 8393], [6743, 7577], [5773, 7490], [8486, 10216], [78, 655], [425, 10562], [1079, 9854], [6209, 10272], [1133, 9336], [1974, 3536], [6213, 11145], [7789, 9729], [134, 7353], [1440, 3602], [7288, 11433], [662, 6718], [1851, 2382], [3850, 5765], [2074, 11287], [7752, 9847], [8101, 10001], [128, 6784], [3588, 8239], [1444, 10891], [1874, 9721], [11183, 11281], [3086, 6308], [1467, 2392], [5207, 8368], [997, 6415], [4574, 8455], [680, 4264], [1614, 5071], [2799, 3999], [436, 11451], [1869, 9727], [33, 10280], [933, 5841], [7495, 8097], [4076, 7397], [3140, 3511], [984, 8058], [2207, 3306], [4158, 8927], [8027, 11341], [1547, 10615], [8886, 10284], [5770, 6387], [10599, 10829], [2572, 10759], [541, 7838], [6052, 6450], [536, 1078], [4579, 4611], [8, 10758], [2718, 7551], [3523, 5504], [5327, 6167], [8599, 9823], [1609, 3922], [1896, 3198], [719, 7551], [5380, 9211], [6996, 7194], [2525, 10539], [486, 10009], [3471, 7973], [8278, 8684], [5540, 10597], [1297, 6252], [1923, 9158], [806, 8644], [5710, 8564], [1978, 2449], [4182, 7018], [4839, 5073], [3789, 4283], [9472, 9603], [143, 3604], [9568, 10065], [6886, 8123], [10184, 11502], [4890, 5011], [1825, 8219], [9442, 10111], [2553, 5016], [2521, 5478], [2438, 3723], [4914, 6536], [1894, 9517], [6723, 6789], [439, 5975], [1776, 2291], [4354, 8010], [3366, 10350], [2976, 3025], [3072, 9903], [7402, 10460], [1428, 10626], [2424, 5895], [361, 7223], [4041, 6732], [3817, 7778], [4868, 9170], [1943, 9005], [3125, 9914], [3840, 5695], [6774, 7077], [3035, 10371], [4145, 9714], [10342, 11283], [323, 11253], [2162, 10971], [2903, 7973], [3591, 5341], [6108, 8155], [7775, 8355], [9333, 11241], [5262, 6414], [7836, 9008], [3770, 4525], [6851, 8613], [5163, 9818], [870, 5356], [1080, 2722], [61, 9913], [140, 7762], [308, 9790], [3563, 9335], [6279, 9326], [3497, 4551], [859, 10832], [2972, 8867], [352, 2922], [3720, 7040], [2758, 7595], [1512, 11397], [6200, 9972], [2427, 8020], [1563, 5700], [14, 9693], [325, 7111], [4122, 7205], [468, 3255], [2589, 5315], [5357, 5496], [601, 6228], [6473, 8037], [5270, 6251], [3357, 4140], [1239, 5761], [1399, 3764], [5199, 7539], [861, 9750], [1916, 2189], [804, 6183], [1263, 10669], [886, 2051], [3680, 9869], [540, 1414], [706, 9031], [257, 10925], [1193, 9149], [3997, 4823], [3436, 6476], [7818, 9475], [5985, 11457], [5923, 10579], [1069, 10022], [1, 3765], [3658, 7986], [5977, 10061], [194, 1127], [6857, 10605], [2055, 4576], [6874, 7576], [1144, 1686], [2916, 10008], [2142, 9833], [5634, 10045], [9545, 11207], [113, 4329], [2977, 10634], [23, 5567], [1136, 10843], [5996, 7428], [2233, 6918], [3219, 3751], [7274, 8799], [2009, 7210], [1381, 7641], [3437, 5142], [1947, 4080], [323, 2072], [2624, 3541], [3897, 10230], [5304, 9537], [8069, 10201], [10522, 10556], [3211, 6492], [6292, 10580], [4356, 7519], [3385, 10994], [1986, 11548], [2120, 8330], [2976, 9254], [1962, 10373], [178, 11116], [1045, 10701], [7024, 7469], [6499, 8779], [2672, 5810], [5275, 7644], [2503, 10727], [9201, 10592], [261, 9838], [5094, 5354], [9701, 10915], [954, 1888], [517, 1133], [1325, 9937], [7920, 8923], [3493, 8433], [3436, 7899], [7240, 9164], [1297, 8643], [2875, 3136], [20, 10126], [3396, 8500], [1728, 4665], [4718, 9389], [107, 6338], [2249, 9275], [7612, 7989], [9069, 10823], [561, 10480], [1378, 6538], [6703, 8178], [4177, 6032], [6484, 7316], [686, 3012], [2055, 5999], [4011, 9712], [5728, 7747], [5105, 8522], [4611, 7987], [2610, 3777], [1269, 2057], [6444, 7136], [66, 271], [4233, 5560], [279, 7734], [7715, 10746], [3704, 5970], [6780, 9714], [3323, 6278], [3316, 5107], [2545, 2978], [3544, 11350], [610, 9941], [1415, 7894], [4154, 9589], [7576, 8308], [2135, 8183], [2212, 5959], [4092, 5678], [1475, 9830], [7440, 7666], [1311, 10173], [5296, 8066], [3183, 10031], [977, 4635], [1340, 9413], [7193, 11172], [7850, 9227], [2649, 2927], [2802, 6175], [5701, 9283], [195, 4599], [6315, 10674], [1000, 9722], [224, 3839], [938, 2428], [1645, 6262], [2622, 4487], [743, 8376], [221, 9203], [2738, 5601], [9241, 11414], [6369, 10129], [5624, 9221], [450, 7750], [6466, 11193], [2626, 3855], [3627, 5884], [4745, 9252], [1474, 4286], [4937, 9422], [4782, 8353], [8581, 9274], [5119, 11156], [5807, 9278], [1263, 7449], [5700, 10909], [411, 1756], [7444, 10767], [568, 5877], [6889, 9956], [2961, 6181], [1464, 10364], [5304, 7122], [292, 3727], [6130, 6706], [4234, 7208], [3213, 10566], [350, 7869], [1807, 10703], [7502, 11122], [2151, 10513], [4355, 8666], [5969, 9232], [499, 4959], [4258, 8733], [3137, 8477], [2636, 4519], [1113, 3317], [2513, 5617], [1458, 6735], [5336, 5505], [1387, 8023], [3839, 9688], [5592, 9632], [7607, 11296], [3469, 4493], [1134, 7577], [886, 7475], [1383, 8281], [8167, 9418], [10906, 11113], [8703, 9398], [2934, 4334], [10436, 11349], [4511, 5772], [3146, 5156], [2704, 4811], [2091, 6274], [5453, 6440], [3925, 4894], [4424, 6527], [445, 10334], [5317, 10716], [4456, 7913], [4137, 9853], [5467, 6496], [3873, 10746], [3594, 11331], [2477, 5155], [5496, 8365], [3101, 4982], [5706, 9895], [6958, 10045], [3467, 7025], [447, 5842], [1572, 10381], [9015, 10400], [3186, 6783], [2935, 3000], [9598, 10226], [6143, 9869], [2812, 8262], [4840, 10131], [1569, 9329], [344, 5340], [2374, 8036], [4548, 9730], [630, 5145], [6882, 7175], [6252, 6779], [5407, 8673], [3447, 10880], [5653, 5696], [6726, 10045], [186, 10766], [1210, 4673], [5630, 8156], [8061, 11196], [3913, 5957], [802, 3158], [810, 7183], [4189, 5074], [3010, 7846], [4228, 8412], [2784, 11475], [4656, 7169], [9009, 9430], [270, 6680], [9069, 9481], [6951, 11102], [757, 6798], [237, 4288], [2563, 9786], [2501, 8908], [6279, 8952], [481, 4648], [1298, 7122], [565, 3595], [950, 3406], [4186, 11569], [7641, 8516], [1323, 8872], [9263, 9697], [7606, 9461], [6762, 8547], [4525, 8002], [530, 10175], [912, 4053], [2966, 4891], [7532, 10451], [3697, 7621], [725, 7610], [2153, 5542], [10021, 11217], [5237, 9901], [1462, 7122], [2109, 4489], [27, 5767], [7279, 9224], [1737, 2631], [7340, 10631], [1855, 4572], [4573, 7642], [11157, 11377], [3001, 9207], [105, 3364], [3749, 7380], [1567, 11460], [4965, 7119], [1290, 2292], [1073, 3755], [567, 5115], [1780, 5337], [6273, 9830], [2846, 2853], [1095, 8617], [5955, 8208], [1378, 4741], [2400, 7647], [11245, 11547], [2649, 8351], [2809, 6354], [2673, 9499], [7566, 8476], [3273, 11184], [1250, 3243], [9488, 9949], [2673, 3083], [2423, 6318], [2958, 3444], [5998, 7531], [6784, 8440], [560, 7677], [2766, 6657], [180, 1794], [1054, 2550], [7862, 8245], [9892, 10941], [2382, 9700], [4035, 10194], [2610, 5363], [3256, 9675], [1234, 11004], [3570, 4358], [1719, 3879], [4967, 7141], [1693, 9074], [10338, 11408], [4111, 4712], [4709, 5570], [416, 1862], [601, 7277], [4670, 9779], [2397, 9577], [910, 8032], [7854, 11336], [9060, 10387], [2310, 3916], [6014, 7983], [3177, 3501], [402, 651], [6685, 9908], [615, 8114], [4978, 6899], [4716, 8619], [2794, 3736], [9705, 10310], [5665, 11212], [2109, 2879], [10197, 10772], [4065, 7346], [1701, 5528], [866, 8864], [4439, 9250], [1853, 8551], [1478, 9428], [394, 2638], [2265, 10939], [5847, 9913], [8206, 11387], [5928, 8589], [2804, 10466], [3585, 11031], [4607, 7521], [3223, 9861], [8916, 9453], [850, 10209], [3649, 5539], [2814, 8121], [839, 5132], [713, 6713], [3421, 6089], [4824, 6408], [7411, 9961], [28, 9993], [8237, 9545], [7935, 8426], [5060, 7624], [1245, 6924], [3423, 9518], [118, 9886], [8449, 10367], [2600, 3065], [363, 2520], [12, 7955], [6993, 7354], [3557, 11211], [8018, 10531], [2288, 11057], [7068, 8467], [9848, 10163], [192, 9993], [4032, 10915], [192, 3577], [402, 5107], [10897, 11482], [2525, 3830], [2099, 11535], [6695, 7138], [4931, 9257], [5289, 6521], [1187, 5791], [3365, 11391], [1906, 5478], [9428, 9762], [5016, 11058], [1592, 7008], [3328, 5093], [3013, 3769], [1125, 8296], [3613, 5454], [7594, 8109], [7157, 8108], [5880, 10345], [400, 11046], [3752, 4108], [2705, 9251], [1646, 6463], [6749, 9222], [703, 5570], [54, 7376], [1596, 6376], [1998, 3912], [2531, 6627], [3009, 6629], [6457, 6569], [846, 4343], [8044, 8695], [4365, 6378], [6389, 10757], [2153, 7583], [9217, 10989], [2, 6812], [695, 10940], [4267, 8472], [1378, 4554], [13, 10354], [5067, 6835], [559, 1253], [10047, 11446], [4489, 10736], [714, 1541], [1058, 6269], [1431, 10981], [2851, 4888], [2233, 6007], [4051, 10510], [2794, 4354], [9077, 11359], [2575, 2738], [1494, 9051], [393, 9070], [8436, 11528], [7213, 7612], [5589, 6358], [11261, 11489], [419, 5006], [2810, 4483], [979, 9544], [475, 8321], [2257, 4499], [607, 1270], [610, 7957], [980, 6736], [2654, 7353], [167, 6633], [3580, 7518], [751, 3651], [1807, 6141], [8868, 10030], [4083, 5860], [10495, 11555], [1562, 5556], [772, 7911], [3138, 4140], [6346, 10255], [2979, 9745], [1367, 2836], [7502, 9943], [1122, 3005], [4418, 11219], [2608, 4325], [3105, 11547], [2299, 6953], [1490, 10756], [6932, 7319], [6951, 11533], [9053, 9379], [10008, 11063], [1471, 5818], [2162, 9873], [426, 1208], [3970, 10655], [999, 10145], [9710, 10847], [3459, 5255], [1504, 10812], [418, 9611], [322, 3487], [4993, 10753], [778, 1286], [3995, 5989], [3797, 5250], [8282, 9882], [56, 2055], [4830, 6036], [9279, 11011], [4981, 6205], [278, 9981], [3053, 7169], [2707, 10696], [3663, 11070], [3047, 6600], [3730, 10794], [5344, 7196], [363, 5366], [8148, 9286], [3201, 10450], [5040, 10168], [75, 2455], [5028, 8653], [4601, 7088], [2297, 5321], [8609, 11566], [4711, 9885], [4272, 6805], [3703, 7062], [1626, 8684], [905, 8924], [6259, 9804], [8988, 10057], [2460, 2467], [1711, 10485], [3727, 9341], [2959, 6729], [6231, 11139], [1801, 3962], [1646, 2893], [1620, 8088], [769, 6003], [2636, 4763], [1610, 4367], [2986, 8525], [1670, 4418], [2878, 10712], [3602, 4327], [3908, 7817], [1318, 9628], [7677, 10027], [1418, 10963], [110, 10881], [6299, 8425], [2689, 3993], [5481, 8732], [405, 10048], [6625, 6905], [1817, 7447], [3026, 10933], [7255, 10684], [5285, 8039], [188, 2062], [3393, 8660], [272, 7425], [67, 3987], [7909, 8441], [2088, 9603], [4848, 5005], [517, 10639], [3853, 10338], [8366, 9848], [6341, 7496], [6626, 10109], [2382, 2910], [6803, 11499], [3376, 3768], [10529, 10629], [3442, 5519], [8665, 9134], [2973, 5980], [7789, 10217], [3537, 8008], [4688, 7352], [4187, 9810], [322, 10521], [5601, 9564], [5055, 5833], [848, 3397], [413, 6852], [5752, 5946], [492, 5455], [2393, 5297], [2859, 10954], [1529, 3731], [3244, 11519], [5073, 9795], [6005, 9775], [2640, 3676], [5618, 6885], [8496, 11368], [593, 8890], [4251, 6196], [116, 9490], [479, 682], [9475, 10413], [2854, 4544], [4027, 7619], [1508, 4732], [2685, 5297], [9849, 10065], [1195, 3481], [7426, 11050], [2810, 3491], [5688, 7974], [848, 5625], [5708, 9380], [4607, 7147], [598, 2444], [8543, 10783], [2710, 9676], [281, 1047], [1471, 5981], [316, 2731], [1253, 10225], [4727, 11386], [8464, 10675], [10360, 10927], [785, 7905], [4011, 8964], [1580, 5924], [336, 4137], [8159, 10793], [6404, 10022], [7971, 10742], [891, 8331], [4132, 11176], [1458, 10630], [861, 9620], [1894, 11160], [3539, 6875], [5994, 8811], [7702, 9012], [9446, 11122], [3386, 10016], [5588, 6588], [2250, 10980], [4245, 8205], [7200, 10464], [8974, 9033], [3119, 4195], [4560, 6496], [8507, 10321], [5611, 8642], [4556, 9760], [6605, 10254], [7197, 7914], [1904, 10693], [3802, 4602], [3265, 6649], [1680, 8733], [1967, 8009], [709, 1628], [4795, 5989], [1104, 2157], [5408, 10161], [6841, 8437], [5872, 8575], [3224, 6998], [5964, 11547], [3717, 3898], [1690, 4883], [1755, 3780], [6333, 10855], [1419, 10247], [3721, 11187], [2568, 8764], [6572, 6707], [4565, 9068], [4802, 8257], [3618, 10685], [2847, 11562], [2186, 9601], [4264, 4417], [1001, 1978], [9834, 10025], [7596, 10009], [707, 10576], [9397, 10401], [1771, 7265], [2762, 8606], [9085, 9348], [2854, 5162], [11164, 11182], [5496, 8422], [7703, 10256], [970, 11336], [1684, 10679], [1125, 2579], [10744, 11535], [2874, 9197], [5432, 7848], [1194, 10263], [7285, 11436], [9186, 11278], [5705, 9700], [3740, 5147], [7251, 8819], [7624, 7869], [1029, 2467], [1063, 8467], [4889, 7047], [6635, 9984], [558, 7019], [3049, 10110], [153, 2769], [493, 5089], [4008, 6251], [3354, 7713], [4477, 11425], [678, 8252], [3443, 4752], [521, 4104], [445, 11464], [5066, 8787], [4407, 7653], [5828, 10830], [5370, 9198], [1530, 6024], [9716, 10288], [168, 9843], [1622, 8996], [4889, 5892], [1907, 5193], [6855, 11047], [537, 11403], [5324, 5820], [2037, 10901], [4076, 6543], [5700, 8551], [1775, 8457], [9863, 9934], [553, 1733], [1275, 11517], [523, 10192], [548, 11188], [4980, 6360], [54, 4237], [6024, 6581], [423, 9961], [1385, 2236], [6093, 7849], [2597, 4485], [5238, 9055], [272, 9011], [2693, 4947], [6180, 10477], [762, 6394], [880, 9833], [5276, 9512], [1666, 10742], [4997, 10097], [3256, 7504], [1571, 5220], [7133, 9055], [2465, 9634], [7785, 10930], [2246, 10270], [1090, 4166], [3702, 3834], [3108, 9511], [3956, 4882], [7357, 11392], [10079, 10474], [5414, 11324], [7996, 8117], [8180, 10678], [2170, 8181], [7868, 8871], [249, 10316], [9979, 10243], [4700, 8948], [8554, 9576], [2831, 7109], [861, 8628], [6776, 7855], [1118, 9947], [7369, 8369], [3346, 6242], [2220, 7894], [647, 7329], [4799, 11586], [5611, 7300], [9253, 10489], [791, 10491], [2473, 9471], [1069, 5517], [4338, 9656], [3868, 11427], [3429, 10599], [4330, 9014], [2156, 10703], [11115, 11507], [6036, 6136], [2092, 8998], [3926, 8372], [1490, 4234], [4547, 10934], [4444, 7049], [5383, 11206], [11114, 11282], [2091, 9527], [4885, 10175], [1117, 9321], [2421, 11159], [219, 1001], [2426, 5087], [3443, 8403], [4449, 10776], [8525, 10285], [5815, 7830], [3045, 5324], [2819, 11205], [1666, 8782], [7767, 10643], [1893, 5755], [399, 3039], [3193, 10857], [10347, 10773], [7735, 9607], [5496, 8235], [5299, 11104], [476, 10614], [6695, 8000], [8040, 9839], [4044, 5371], [5160, 8666], [11323, 11405], [2665, 7331], [7721, 10998], [9046, 11461], [10145, 10615], [7903, 10480], [8672, 8776], [950, 9342], [2572, 4107], [172, 380], [4407, 10499], [5004, 8503], [6337, 8827], [585, 1458], [857, 3866], [891, 9112], [6262, 6963], [3252, 10632], [1505, 7470], [4048, 11505], [1754, 11180], [3216, 7942], [5955, 8883], [1091, 6140], [7720, 9618], [2365, 9267], [407, 2475], [9096, 10743], [3021, 7851], [6433, 8134], [4077, 10341], [2793, 4991], [1239, 8640], [3732, 6896], [5838, 10176], [3037, 5351], [7747, 8381], [2881, 10473], [7886, 10445], [4618, 9914], [3660, 11342], [5148, 9325], [7319, 11502], [8965, 10825], [2031, 5957], [9715, 9825], [3368, 4525], [3806, 8134], [103, 6921], [1656, 10217], [680, 9184], [3877, 5341], [4229, 9176], [2286, 2692], [1265, 9056], [525, 9246], [8759, 9794], [1283, 7383], [8232, 11031], [2778, 6537], [6294, 10553], [1853, 6193], [198, 3374], [1223, 5797], [601, 10180], [3620, 6974], [340, 9092], [966, 5582], [754, 7389], [6855, 9250], [4209, 4336], [2371, 8226], [1205, 1434], [659, 4119], [5361, 6534], [8064, 8572], [5597, 9285], [6064, 7216], [1016, 8328], [3822, 11245], [2770, 8874], [3254, 5311], [239, 8636], [3723, 10485], [7088, 8670], [5195, 7935], [5909, 7278], [2912, 4793], [2606, 6938], [2503, 3807], [10037, 10360], [5995, 9681], [3468, 9562], [789, 8672], [6290, 6596], [4710, 11276], [2866, 11214], [1477, 6794], [4058, 6395], [2220, 10285], [1902, 5280], [1279, 6055], [620, 7173], [7280, 10718], [9845, 10540], [2808, 4793], [4543, 9069], [3402, 8161], [3612, 5527], [8376, 8820], [549, 5428], [9434, 11356], [5568, 6961], [3386, 6877], [4819, 11569], [2846, 2991], [3250, 7016], [483, 10443], [4849, 6493], [7294, 7741], [4785, 8952], [4589, 4876], [6245, 9805], [2036, 4290], [948, 8678], [847, 2210], [4148, 8516], [7159, 8455], [6606, 9969], [567, 2570], [2093, 8207], [6416, 7593], [2747, 5964], [1491, 8324], [1307, 6517], [1711, 4126], [8028, 10715], [5170, 8362], [614, 5018], [6969, 7927], [369, 9351], [4376, 6811], [2633, 7555], [9978, 11203], [7684, 10124], [10529, 11491], [5589, 10416], [448, 4167], [1568, 4198], [3475, 7992], [3716, 4671], [204, 7190], [5400, 6730], [7943, 10765], [11067, 11517], [200, 9700], [3244, 5615], [4718, 10308], [8135, 10935], [5888, 9702], [2187, 9316], [4298, 5026], [3267, 9948], [7219, 7701], [1117, 6369], [4055, 4487], [1677, 10907], [331, 8843], [4360, 8506], [9523, 9818], [7840, 10613], [8681, 11229], [4631, 6525], [8607, 8836], [4264, 5011], [5403, 9256], [6437, 8015], [9855, 11496], [3790, 9292], [5844, 10130], [8196, 10433], [205, 6610], [3620, 9820], [5769, 8266], [1410, 5436], [1566, 5949], [7481, 8586], [6426, 9704], [6791, 8139], [2954, 10898], [3668, 10241], [433, 11348], [3640, 8193], [811, 1320], [5893, 6208], [3302, 5165], [2397, 2844], [4816, 8533], [4234, 5899], [6412, 8493], [1801, 5442], [221, 10122], [92, 8022], [3380, 9959], [5291, 11243], [5093, 10504], [6311, 11070], [7519, 7538], [7302, 9001], [1426, 9702], [5440, 8333], [1455, 8188], [2265, 7239], [7275, 9807], [1417, 5452], [4278, 8076], [6453, 10372], [4870, 9119], [641, 2952], [4674, 5043], [4431, 8291], [2726, 5355], [3500, 4749], [4054, 6089], [8813, 9038], [3188, 7106], [7006, 8077], [4298, 6449], [2682, 8466], [820, 1382], [4801, 10453], [8543, 10840], [1594, 7192], [5554, 8970], [5038, 9642], [1626, 2943], [346, 1499], [2871, 8338], [1928, 9697], [2936, 9487], [7556, 8894], [4354, 5977], [9170, 9433], [1952, 4806], [2072, 3410], [5471, 9093], [8509, 10101], [3163, 7584], [3228, 8733], [2827, 8389], [8641, 10220], [7868, 10270], [2170, 3164], [3226, 5654], [5053, 9519], [6930, 9721], [910, 2372], [8110, 9803], [1135, 4934], [326, 9491], [4768, 10289], [1469, 7439], [4019, 6229], [8351, 9865], [5457, 11265], [2554, 8415], [1649, 6094], [152, 3861], [10024, 11011], [3388, 5608], [3582, 8857], [98, 7008], [6319, 9725], [3138, 5433], [161, 5078], [7007, 7093], [1559, 10715], [269, 2167], [717, 6464], [6029, 6364], [7607, 8027], [1208, 6701], [2300, 11100], [2254, 4339], [3095, 4955], [2353, 7728], [290, 9056], [5622, 6205], [1575, 7434], [4622, 6276], [7134, 8746], [704, 1691], [733, 6593], [5088, 5517], [1445, 11525], [1796, 6090], [2009, 7137], [2346, 3524], [9596, 10318], [10778, 11227], [478, 9457], [3150, 9176], [4493, 10942], [1721, 7609], [1124, 3189], [2433, 9535], [6129, 9577], [7345, 9316], [6789, 11313], [4260, 7738], [4881, 10300], [7040, 8680], [2928, 3098], [1392, 1691], [7878, 9779], [6195, 11328], [1402, 2379], [1204, 1640], [3084, 7775], [892, 7003], [2609, 4284], [3722, 7308], [4260, 11121], [4040, 6651], [6157, 11221], [3819, 4208], [2377, 2436], [5589, 6041], [4369, 8812], [482, 5038], [6402, 11025], [944, 3379], [7980, 8901], [2691, 6918], [1015, 4720], [974, 2467], [6674, 10400], [2555, 3647], [7821, 8090], [5732, 8197], [1661, 2616], [5639, 5754], [286, 8482], [2217, 4002], [2265, 6702], [5948, 9892], [8341, 10950], [6438, 9527], [4258, 10270], [1116, 5152], [6993, 7305], [2454, 6574], [3610, 6262], [9174, 10170], [4998, 7047], [4913, 8629], [3776, 6739], [6365, 11119], [1322, 8411], [2354, 6343], [4966, 6011], [8487, 10371], [3094, 9536], [7638, 11365], [9726, 11033], [2531, 4700], [103, 4587], [2150, 11424], [2747, 3012], [4729, 8700], [2316, 10373], [2495, 5420], [1492, 6728], [3303, 10060], [6696, 10293], [2704, 9731], [1582, 8873], [4419, 4687], [3698, 4173], [8436, 9251], [1275, 11574], [8985, 9493], [2111, 5430], [7281, 10165], [1149, 2575], [3785, 6801], [607, 2026], [8588, 10022], [3478, 5338], [2552, 8556], [2167, 2329], [8181, 11361], [5991, 10662], [1079, 5219], [265, 2262], [356, 1626], [5536, 7049], [4717, 10164], [4631, 4728], [4958, 6843], [1632, 2170], [4381, 4553], [1915, 8120], [2450, 5246], [444, 692], [3026, 11071], [8320, 11146], [3313, 8095], [4273, 10123], [3841, 4050], [7848, 11336], [3273, 4532], [4623, 7469], [8853, 10828], [8442, 9042], [4237, 7433], [5988, 10714], [40, 9849], [2314, 8741], [2211, 4856], [7599, 10982], [5348, 6597], [1464, 7258], [2799, 9163], [9650, 11522], [5316, 7059], [125, 2201], [3512, 10533], [7060, 7671], [2755, 8110], [2078, 5616], [7083, 7840], [1047, 4876], [7117, 11588], [2198, 4220], [4499, 11351], [475, 2206], [4236, 6053], [4091, 9836], [2124, 5210], [288, 5763], [904, 7981], [1188, 1324], [3407, 6171], [6414, 8620], [4891, 5166], [5665, 10976], [4175, 5750], [8001, 10746], [5, 9989], [5564, 7137], [897, 7160], [4171, 5227], [4418, 11520], [5440, 8764], [1046, 4250], [3630, 8286], [7549, 9309], [3258, 5674], [333, 2099], [3077, 9800], [1487, 7376], [5281, 7953], [1707, 9594], [857, 11144], [922, 11539], [3592, 4769], [422, 10435], [5709, 9339], [5266, 8769], [1811, 6160], [5116, 5792], [1379, 3497], [10348, 11405], [7507, 9433], [2347, 6140], [3088, 7306], [1067, 11489], [3073, 4739], [2804, 10930], [1649, 7680], [837, 5550], [3046, 4047], [7927, 8679], [8219, 8299], [5864, 10007], [4468, 10078], [239, 1659], [6157, 10229], [10, 1607], [8925, 10410], [1943, 10786], [6743, 10326], [4646, 6408], [585, 1515], [1781, 6294], [8604, 11523], [3929, 6767], [4894, 9139], [10716, 11585], [1162, 1526], [3739, 10807], [5055, 7744], [12, 5036], [9010, 9178], [6321, 7600], [2866, 10653], [2802, 8948], [6219, 7323], [2707, 9842], [348, 1952], [3297, 6675], [936, 10790], [4052, 6019], [3140, 8943], [499, 8537], [2803, 9550], [4022, 9560], [3984, 6824], [5575, 6440], [6215, 6800], [2708, 3247], [6193, 8704], [930, 1526], [5317, 9033], [169, 1613], [2259, 5114], [352, 11119], [111, 8024], [10508, 10858], [7982, 10964], [5828, 6512], [7696, 10378], [638, 3754], [2257, 5418], [10221, 10801], [2962, 6927], [2437, 4073], [4243, 7061], [4619, 9792], [3119, 3878], [1721, 8040], [9209, 11242], [2249, 7405], [1559, 6958], [28, 1731], [3326, 4356], [9930, 10221], [4575, 10624], [5099, 9089], [372, 8307], [3636, 5686], [9551, 10575], [3855, 10685], [4430, 5732], [1727, 4448], [2816, 2914], [5897, 10008], [10284, 11099], [7204, 9865], [2193, 9324], [3411, 9890], [78, 8210], [2874, 3269], [1535, 11044], [2774, 6071], [129, 10427], [2128, 11558], [1440, 7774], [1192, 7672], [41, 1912], [624, 1738], [1651, 5742], [1744, 1769], [562, 860], [1781, 11450], [3672, 10604], [1616, 8939], [5566, 10029], [960, 7322], [3417, 10085], [712, 7974], [1558, 8934], [617, 3950], [1866, 6835], [4665, 8581], [840, 6439], [4854, 8480], [4787, 7258], [7625, 8178], [3136, 6810], [3563, 6123], [4228, 8957], [1260, 7964], [5802, 6714], [9480, 11058], [4626, 9003], [5777, 8347], [2410, 2919], [3531, 10722], [2158, 6081], [8823, 9970], [5733, 7294], [3718, 10548], [3938, 8602], [1851, 8782], [3833, 10306], [6013, 10317], [7513, 9815], [3365, 8740], [1835, 10531], [4696, 6739], [2777, 11199], [881, 5285], [6478, 9333], [4525, 8547], [3546, 3833], [8910, 9565], [4209, 10004], [462, 2857], [4080, 7904], [4331, 5271], [1767, 8303], [8802, 10971], [5003, 10050], [9120, 9560], [1120, 2268], [10799, 11275], [6215, 10801], [4811, 6847], [9606, 10207], [607, 5840], [2205, 2463], [4748, 6498], [8113, 10345], [4589, 4933], [1127, 1153], [3158, 10867], [2497, 11158], [5544, 10754], [72, 2648], [8473, 11038], [1097, 5825], [2716, 7489], [3713, 8618], [1679, 8432], [7119, 8332], [4861, 6910], [365, 8535], [4348, 5601], [3791, 10379], [5565, 8948], [6998, 7224], [3629, 5133], [3381, 11447], [9506, 11450], [8262, 9663], [8170, 10074], [5742, 6551], [7545, 10022], [5394, 9251], [6397, 8697], [4679, 10437], [2349, 8203], [262, 4973], [6547, 8641], [7354, 10427], [5234, 8969], [2529, 6858], [1064, 9044], [1680, 4846], [1894, 9501], [3666, 7243], [3726, 11458], [778, 9589], [7218, 10916], [7025, 11275], [2880, 9717], [5039, 8097], [8387, 10839], [1145, 8070], [3194, 4400], [1695, 2094], [7575, 7928], [2654, 3897], [7206, 9751], [1313, 8593], [10779, 10891], [5118, 7050], [2313, 7741], [314, 4358], [3206, 8547], [6545, 11173], [165, 10651], [4831, 6993], [6624, 9776], [4294, 6788], [118, 10081], [3638, 11587], [92, 4696], [2748, 3882], [1091, 4400], [673, 7859], [5133, 9960], [4192, 5730], [921, 11344], [10007, 11169], [7142, 11055], [5440, 8390], [5774, 7512], [2567, 4251], [7463, 9915], [5725, 11003], [4877, 9216], [232, 919], [8170, 11497], [6960, 8540], [9668, 10922], [3584, 3780], [3280, 6752], [1917, 2799], [8534, 9680], [9187, 10999], [4247, 9170], [2339, 7403], [876, 11170], [4983, 9992], [1647, 3877], [2376, 10668], [9967, 11339], [8819, 9260], [2615, 4268], [5567, 8508], [5424, 6702], [959, 9892], [7657, 9757], [4009, 9005], [7529, 10511], [6218, 6748], [1170, 7860], [2145, 5258], [6680, 8499], [793, 4877], [139, 4087], [4095, 8375], [1662, 10924], [3377, 5880], [545, 1742], [1725, 8240], [1940, 10114], [259, 7572], [5111, 7302], [1477, 2476], [4713, 10639], [5417, 8540], [2929, 4966], [6258, 9156], [2283, 10453], [5602, 7539], [11149, 11443], [3608, 3719], [662, 9093], [3016, 10223], [2732, 4048], [4479, 10593], [219, 2107], [1859, 4648], [4735, 8304], [7531, 10533], [6125, 9916], [4879, 11466], [7060, 7915], [1950, 3231], [4931, 10875], [7264, 11128], [11001, 11171], [2764, 9571], [851, 7460], [1659, 3432], [3837, 9032], [146, 10088], [1872, 4479], [669, 2693], [3036, 11198], [3740, 9099], [701, 1450], [7575, 8896], [3549, 8750], [1777, 4592], [7012, 9722], [6981, 8157], [4206, 5307], [6544, 8156], [3325, 7544], [8593, 8650], [4207, 8161], [213, 6772], [153, 305], [7537, 9543], [4359, 4768], [8454, 8491], [1716, 3535], [250, 10037], [2614, 5439], [1984, 5043], [2698, 3632], [2584, 6728], [2608, 11286], [6500, 8234], [368, 644], [901, 1107], [711, 11563], [3880, 7924], [6242, 6663], [1008, 11557], [6729, 6781], [6639, 10271], [8789, 11571], [3932, 5081], [1812, 5875], [1034, 9745], [4184, 5302], [3675, 3735], [3738, 7467], [3645, 5024], [2124, 4649], [1098, 10669], [5829, 11570], [2128, 11184], [6629, 9933], [1002, 7174], [10399, 10833], [5965, 6920], [7086, 10559], [1231, 5721], [2046, 11532], [3009, 10825], [2173, 4137], [1447, 4033], [2603, 3721], [2453, 7160], [1663, 2345], [8882, 9826], [6151, 6494], [733, 1657], [8847, 10771], [2997, 6277], [1192, 6143], [4844, 10020], [515, 10065], [4649, 7300], [2741, 5533], [344, 7739], [3592, 7591], [466, 3006], [5976, 10061], [2093, 2279], [967, 10347], [3744, 8362], [9623, 11342], [4052, 6263], [1846, 7283], [2052, 4907], [4476, 7530], [969, 10393], [1776, 9927], [458, 4993], [1045, 2309], [983, 1431], [5093, 6186], [404, 2478], [1775, 5538], [1204, 6503], [2105, 7924], [5343, 10498], [2074, 6359], [3359, 8147], [5126, 5545], [3104, 6874], [3133, 6114], [1706, 11036], [82, 3366], [8077, 10314], [7017, 8836], [446, 3828], [8568, 10551], [4554, 6258], [4125, 10282], [1482, 9049], [6117, 10242], [9534, 10115], [5736, 10550], [2933, 11314], [2607, 5667], [1237, 11123], [1369, 7078], [1400, 6391], [180, 4998], [3829, 9358], [8211, 10105], [3667, 4112], [4542, 8476], [2860, 5709], [1728, 4917], [2410, 3968], [5613, 10493], [3717, 3825], [1167, 3537], [2003, 10225], [5612, 10268], [2312, 10980], [4800, 8892], [3093, 5129], [1288, 4995], [2339, 8639], [2196, 6833], [2067, 11149], [9030, 11497], [2368, 7879], [3832, 5468], [2612, 8239], [1536, 7726], [4552, 8009], [6037, 6475], [7155, 9843], [1119, 8377], [2734, 6135], [2049, 6032], [3482, 4308], [555, 9732], [8872, 11261], [1023, 5636], [1730, 7218], [6931, 7102], [7022, 7220], [5566, 7240], [2326, 8003], [4475, 5695], [8458, 9177], [2224, 7726], [3442, 8292], [9548, 10497], [1298, 4528], [6950, 8283], [976, 8449], [1920, 4282], [639, 9029], [1138, 3492], [6769, 9376], [5363, 6507], [6483, 6538], [2058, 2711], [1469, 8732], [5017, 5870], [8197, 10691], [2521, 7316], [4233, 5007], [10342, 10893], [3045, 10699], [2952, 3338], [653, 6833], [3328, 6069], [2607, 10473], [8214, 11045], [1267, 1808], [7285, 8330], [1115, 4420], [122, 9826], [6722, 9156], [2302, 3421], [7990, 9085], [6257, 11271], [4667, 8093], [4168, 7214], [1730, 6413], [3419, 8816], [5594, 8483], [4122, 6465], [77, 6269], [3251, 7892], [2509, 6501], [5238, 6754], [10250, 10903], [8094, 9034], [7257, 11543], [2067, 9539], [3581, 6491], [3858, 5079], [1806, 7697], [335, 6685], [3659, 4869], [1776, 9740], [5259, 11364], [557, 2533], [268, 8846], [7489, 10738], [1740, 7050], [7896, 8618], [8080, 10425], [7436, 10323], [5841, 7555], [2823, 7199], [6837, 9994], [6527, 11266], [5764, 9028], [4024, 9289], [1309, 6490], [3437, 5557], [5455, 10902], [570, 9534], [7781, 9984], [2939, 5280], [2870, 7395], [10624, 11248], [3644, 6035], [70, 8430], [3174, 3642], [9501, 10919], [2705, 8267], [3457, 3930], [6514, 9876], [1469, 10505], [3706, 4634], [7876, 9440], [861, 11588], [4758, 9634], [6246, 7617], [10330, 11151], [2567, 5300], [273, 1969], [4254, 11040], [2348, 3684], [9507, 11114], [6174, 9434], [891, 4233], [7212, 10564], [3528, 7149], [6088, 6627], [4273, 5805], [909, 4812], [8544, 11417], [855, 7959], [7417, 10215], [3403, 5922], [1933, 7764], [6640, 10523], [1812, 9689], [6533, 9902], [1676, 4166], [8439, 10842], [779, 5870], [806, 3529], [2516, 4557], [6437, 7161], [1774, 3920], [1141, 4007], [7940, 10340], [4008, 9829], [6491, 6643], [7562, 10919], [6991, 7720], [9114, 10607], [1524, 6374], [2264, 6938], [824, 5239], [5932, 8342], [3848, 9547], [1365, 5563], [1021, 5753], [2605, 10614], [5021, 6206], [3188, 10440], [4872, 6083], [2168, 6826], [5117, 9297], [1812, 5501], [1313, 1616], [1197, 10301], [569, 4316], [5457, 5955], [1560, 2247], [1503, 1713], [74, 9972], [3087, 3568], [5862, 7172], [4859, 7726], [67, 8801], [1808, 4978], [5502, 8357], [275, 3088], [2548, 8925], [5473, 6838], [10354, 10716], [3133, 3162], [9577, 11024], [609, 8976], [3843, 7644], [386, 4208], [8486, 9452], [7541, 7732], [8268, 11444], [7239, 10777], [7571, 9072], [3588, 10508], [436, 6954], [3617, 4830], [6972, 8743], [6519, 7455], [535, 6933], [1996, 7257], [199, 4732], [911, 9664], [5613, 5663], [322, 9269], [188, 6071], [7, 7945], [3272, 8178], [5347, 9893], [4760, 6915], [1675, 4583], [6993, 9216], [6931, 8338], [4754, 6346], [1144, 8330], [487, 3859], [3704, 7808], [1739, 9671], [56, 11220], [121, 5199], [1920, 5518], [8195, 8498], [3821, 5360], [7764, 9443], [949, 2577], [3094, 11447], [10964, 11533], [5272, 8379], [6120, 10166], [2978, 7300], [4189, 7449], [4399, 8225], [7599, 10315], [6292, 7425], [851, 1638], [9304, 10218], [10324, 10799], [6235, 10274], [3701, 10519], [2672, 5688], [1927, 5534], [6531, 6660], [2083, 5293], [6346, 11044], [4471, 6007], [7373, 8632], [2946, 8142], [1201, 1643], [2885, 10118], [5474, 8082], [3623, 7603], [4254, 4437], [917, 5267], [5280, 8216], [6890, 7882], [4459, 4842], [1874, 6997], [3842, 8815], [2003, 3435], [1378, 9799], [1163, 5673], [4929, 10618], [2408, 4652], [3239, 3826], [2648, 3358], [11077, 11544], [4917, 6070], [3774, 10751], [2700, 6931], [2364, 6982], [549, 6160], [4788, 6599], [531, 4800], [4605, 7646], [7241, 7708], [2107, 3384], [6716, 9018], [7769, 7827], [4689, 6593], [1695, 4379], [3540, 11459], [5191, 11126], [2543, 9549], [5746, 8904], [5335, 7118], [10097, 10338], [763, 3995], [3311, 8374], [3441, 7666], [6008, 9843], [6515, 11337], [7718, 10871], [4423, 7009], [4767, 5321], [89, 1048], [1317, 2302], [4733, 9120], [7477, 11159], [5323, 5953], [1842, 10791], [4700, 6728], [964, 10293], [8274, 8470], [796, 5232], [2229, 3508], [1265, 10406], [5522, 5789], [742, 1963], [1765, 8477], [5060, 7421], [3311, 10602], [4462, 9946], [1542, 10125], [797, 5053], [2810, 5890], [4991, 8755], [6763, 10661], [1190, 11171], [5682, 10558], [3958, 11352], [1317, 4530], [3314, 11250], [323, 6301], [1625, 1650], [5694, 10568], [1320, 7430], [4773, 7714], [3175, 4675], [2551, 8231], [1374, 7666], [648, 5310], [7339, 10420], [3631, 8863], [2141, 3637], [4756, 9238], [5568, 9116], [1650, 6783], [736, 4376], [1911, 4114], [7425, 8659], [546, 9914], [2079, 6142], [5807, 8351], [4028, 9438], [4649, 5584], [891, 4664], [8640, 8927], [8855, 10801], [5770, 8469], [9164, 11556], [389, 9149], [907, 8580], [7574, 9132], [1189, 7512], [540, 650], [1945, 9710], [259, 6824], [8187, 11052], [7729, 9420], [4893, 8546], [1025, 3324], [6976, 7870], [3671, 4074], [876, 9617], [6344, 6647], [4983, 8439], [6691, 8640], [7317, 7382], [2171, 7959], [3984, 5702], [8125, 9770], [6876, 7639], [3699, 6472], [1481, 10141], [1770, 3828], [4810, 8669], [1355, 5306], [4223, 9101], [4875, 6812], [3290, 11148], [988, 3792], [7077, 10554], [236, 8883], [833, 6887], [292, 5028], [1570, 6399], [1700, 5691], [8382, 10715], [2592, 6272], [5324, 6796], [1349, 8093], [3928, 11031], [1550, 11035], [2079, 10598], [2141, 5060], [6750, 11448], [2990, 3285], [6371, 8419], [1987, 4593], [8485, 9308], [2231, 4953], [2301, 5692], [1742, 4008], [3285, 6616], [2385, 4639], [634, 11157], [2979, 6509], [5501, 8913], [2758, 4066], [36, 96], [4528, 5899], [4130, 11488], [4772, 8511], [7723, 11028], [4144, 5909], [9780, 11383], [1217, 4917], [1148, 9284], [1655, 8526], [3358, 4219], [7382, 7702], [122, 9265], [7529, 10381], [583, 10414], [6935, 9642], [9359, 11511], [5997, 11345], [2332, 11370], [5209, 10740], [7203, 7363], [2165, 9163], [8290, 11418], [3942, 7249], [4154, 5442], [852, 5327], [4033, 7367], [1163, 6909], [827, 6960], [7040, 9062], [3363, 7572], [601, 11343], [252, 4019], [5270, 11366], [1445, 9224], [1443, 6145], [5486, 9678], [7258, 7420], [312, 8207], [3359, 7049], [5286, 8866], [7746, 10392], [2744, 7685], [7990, 10752], [3384, 8799], [6912, 10166], [3729, 5047], [1580, 5103], [5351, 10392], [2724, 3276], [4260, 5437], [5507, 10905], [5839, 6948], [6052, 7995], [2447, 10323], [458, 7628], [4534, 7137], [7299, 10053], [1751, 9307], [3817, 8250], [1047, 4990], [3373, 10488], [9849, 11472], [4398, 7249], [8756, 9854], [1820, 10575], [2930, 9918], [1378, 10230], [6976, 10716], [6282, 6363], [4074, 11474], [1710, 3240], [3545, 5468], [749, 987], [6000, 6650], [2638, 6484], [6153, 7646], [2770, 5849], [3886, 9144], [4971, 10120], [8429, 10748], [1149, 7495], [2510, 10621], [4719, 8364], [4774, 6573], [10293, 11462], [696, 6237], [8691, 10933], [5991, 9166], [4024, 4540], [3158, 5557], [7602, 10188], [7729, 11461], [5088, 11055], [638, 2445], [478, 5196], [1529, 9594], [7193, 8448], [4421, 11531], [7729, 8428], [167, 6243], [3830, 10309], [4303, 10721], [502, 6721], [779, 5309], [2983, 9124], [10985, 11581], [1764, 9087], [4890, 7256], [4016, 4248], [1526, 3257], [2520, 4869], [4471, 11244], [1921, 6038], [6840, 6990], [6659, 8110], [3533, 6531], [4340, 5311], [1265, 10837], [1199, 6053], [1228, 4539], [7241, 10717], [2439, 4688], [2626, 10930], [9785, 11190], [5117, 5353], [5898, 5918], [2417, 10002], [1882, 7214], [1599, 3893], [1964, 2328], [4489, 11419], [4491, 5830], [2650, 6039], [3393, 9530], [1559, 4494], [3995, 8632], [7637, 11067], [593, 10565], [3239, 9063], [8791, 10682], [9775, 10852], [1893, 6999], [131, 3529], [4581, 11358], [2335, 7317], [1580, 5721], [3178, 8760], [3541, 6368], [1208, 3863], [9232, 10051], [1147, 5839], [2050, 7333], [2759, 6332], [2669, 3406], [2168, 11526], [3852, 11333], [4463, 9043], [6858, 10174], [1129, 4509], [1096, 2117], [10030, 10970], [2588, 7389], [3054, 5876], [10870, 11361], [918, 6891], [4425, 6657], [3272, 10650], [6321, 6909], [746, 10756], [2124, 9325], [3772, 9475], [3021, 10250], [2240, 10439], [4008, 10691], [5350, 9603], [6912, 9979], [1179, 4572], [3140, 5219], [9017, 11536], [9643, 10278], [2880, 3602], [8736, 11294], [1231, 10397], [5030, 11318], [8051, 11191], [2074, 5424], [4384, 10389], [3262, 9531], [81, 5239], [2376, 5008], [7857, 11325], [2131, 9341], [5892, 9778], [1511, 3217], [3116, 6703], [5703, 10256], [1785, 5671], [3521, 3756], [7667, 8168], [1401, 1544], [1158, 8956], [7875, 8871], [7479, 8871], [4628, 6211], [3858, 9942], [6160, 10882], [2865, 5522], [2139, 2412], [9024, 10771], [5323, 10385], [7219, 10637], [5464, 9866], [873, 8945], [2599, 3336], [5527, 7182], [1392, 11230], [4374, 5513], [2875, 8869], [6271, 8619], [421, 4125], [8553, 11536], [8691, 10746], [5869, 8050], [7949, 10109], [6366, 8856], [2314, 3325], [4339, 5677], [6582, 9420], [1037, 3310], [4870, 9477], [1599, 10927], [4149, 9717], [1413, 6041], [1368, 2134], [11369, 11384], [233, 10840], [531, 3889], [6004, 6181], [997, 3130], [5019, 5786], [3851, 8747], [192, 7806], [3693, 4374], [269, 3330], [528, 4722], [5378, 10041], [5634, 7752], [3166, 11246], [4713, 10590], [7930, 8123], [17, 11373], [4131, 4950], [3064, 4553], [4626, 4929], [5059, 8194], [3161, 7869], [7925, 11162], [1072, 1560], [1570, 5220], [8075, 11106], [3870, 9497], [2590, 5047], [1186, 1847], [2684, 11098], [1997, 7916], [182, 2930], [1938, 6555], [61, 4855], [904, 6298], [6010, 6322], [6538, 8693], [6966, 7450], [1687, 6155], [206, 4455], [586, 3922], [615, 9578], [1332, 7684], [4594, 4990], [5822, 6244], [4604, 9842], [4347, 7742], [5935, 7841], [608, 5374], [2356, 2722], [6619, 10725], [260, 8074], [664, 1519], [706, 11544], [5274, 11515], [6024, 9761], [2962, 3471], [5766, 11223], [2281, 9903], [1291, 11416], [97, 6740], [6038, 6434], [2467, 6094], [1247, 8111], [2240, 6869], [2773, 3168], [2768, 2824], [123, 11344], [4390, 7415], [1310, 6181], [6382, 7375], [819, 9327], [1153, 2033], [6285, 10448], [4516, 9971], [3981, 6429], [1085, 7002], [9510, 11282], [5568, 8555], [1800, 2783], [3598, 5910], [4532, 6717], [4033, 5838], [3097, 8368], [1854, 9435], [3385, 8246], [3003, 7952], [8364, 9249], [4723, 9668], [1731, 1865], [6925, 11158], [970, 1952], [10227, 10492], [2617, 11299], [3059, 5228], [941, 6849], [3031, 10350], [8161, 9270], [5733, 11409], [155, 5159], [4668, 5423], [5072, 9448], [2825, 8969], [2336, 5772], [1097, 4329], [11324, 11478], [5880, 8426], [3822, 7846], [5131, 10028], [2044, 5371], [6275, 11584], [8429, 10374], [4814, 4844], [1044, 9579], [5343, 8571], [7361, 9752], [3875, 7076], [480, 4518], [3532, 3704], [1593, 7542], [2076, 3724], [1068, 4688], [5576, 10270], [1036, 5150], [382, 10776], [5668, 6826], [2871, 11542], [814, 10406], [3871, 9936], [3178, 5808], [282, 10545], [1705, 8133], [2644, 11536], [1775, 8872], [534, 4350], [5112, 11425], [1155, 7666], [2333, 11085], [525, 854], [4881, 9048], [4540, 8755], [8451, 9917], [3793, 11184], [1544, 9878], [2265, 3222], [608, 5992], [7242, 8316], [81, 6475], [10848, 11094], [4031, 7565], [447, 4354], [9760, 9820], [4273, 7098], [1692, 6743], [816, 9324], [7082, 9532], [2326, 10264], [6361, 7520], [2565, 10280], [4865, 10393], [1350, 6979], [5928, 7638], [3275, 5717], [1162, 7682], [635, 10417], [656, 4878], [3930, 9361], [10062, 10535], [5332, 6072], [8599, 9384], [4022, 5917], [3683, 6451], [4488, 5158], [123, 5546], [155, 9965], [2395, 7775], [2106, 7672], [6249, 8403], [1340, 2477], [5665, 9106], [5787, 10035], [647, 7394], [3725, 8555], [2075, 5326], [4538, 4871], [6093, 10492], [1167, 6871], [1506, 6337], [4133, 7037], [1954, 10634], [4583, 7273], [1730, 8674], [2910, 3094], [3524, 10901], [1850, 3114], [535, 9031], [1347, 2493], [10, 3925], [7604, 10529], [4429, 10189], [9809, 11536], [1256, 5758], [2618, 5322], [1646, 1779], [3204, 9583], [5282, 10815], [862, 5080], [7157, 10190], [4569, 8664], [935, 3838], [1238, 1395], [307, 4269], [3670, 7289], [453, 3340], [1791, 11178], [4341, 9968], [669, 8068], [3631, 11498], [3483, 4430], [4032, 5426], [276, 1169], [365, 11040], [1423, 3777], [3009, 8711], [103, 2180], [5772, 8548], [3339, 11097], [9378, 11326], [7509, 9487], [5140, 7325], [971, 5373], [3376, 7192], [2562, 4989], [2930, 9357], [4673, 8613], [2620, 8377], [319, 11045], [2117, 10008], [4548, 6632], [1879, 4178], [4083, 8747], [6602, 7470], [4298, 10621], [5612, 6731], [4566, 4959], [925, 4624], [653, 7134], [765, 959], [2459, 10122], [9334, 11377], [988, 2694], [3673, 7536], [1364, 5425], [9669, 11101], [2857, 10168], [2015, 10081], [2287, 8325], [6218, 10863], [330, 3633], [3573, 6551], [2749, 10076], [4526, 8162], [1941, 3901], [6762, 8482], [2684, 8146], [3969, 10688], [7546, 8564], [2718, 7730], [6955, 11506], [9063, 9197], [7005, 10869], [5114, 5299], [198, 8782], [2839, 9188], [814, 6836], [442, 11394], [8257, 11019], [1037, 6319], [2181, 10908], [2406, 9306], [1845, 10959], [1501, 4733], [3741, 4041], [5196, 10966], [3453, 7546], [4022, 9918], [1339, 9286], [837, 1720], [5035, 9328], [28, 6277], [7022, 8944], [2514, 2608], [4231, 4807], [1613, 5324], [10890, 11133], [980, 1247], [2315, 2398], [1640, 2983], [4786, 8974], [3869, 8548], [4815, 7460], [1942, 3321], [641, 11580], [5388, 6598], [2903, 8957], [485, 10286], [414, 5158], [2183, 6766], [3989, 7502], [2965, 10185], [6067, 8734], [5814, 9042], [9678, 10358], [2080, 2100], [712, 9137], [7307, 7369], [345, 7623], [803, 2085], [4624, 6737], [2198, 4041], [2141, 3507], [240, 2911], [4971, 10982], [7865, 9582], [8331, 10321], [2861, 6048], [5404, 10083], [9638, 10178], [560, 7962], [930, 7495], [116, 4538], [2413, 5134], [1860, 10812], [1452, 9297], [4721, 7020], [407, 3963], [2375, 5781], [67, 6524], [7412, 10172], [2655, 11433], [2906, 8800], [3336, 7630], [2558, 11500], [3293, 4550], [5231, 8411], [5909, 7343], [2980, 9688], [3756, 9909], [5951, 10198], [5438, 8889], [7710, 11118], [4697, 11106], [4837, 6979], [3169, 9560], [3845, 5413], [276, 7398], [481, 8584], [2696, 10279], [757, 7701], [4557, 5060], [6585, 6929], [4554, 4762], [3112, 8652], [8791, 11544], [379, 10909], [71, 6592], [245, 1295], [2645, 3524], [2423, 4643], [6251, 6302], [5573, 7370], [1932, 7789], [4452, 10120], [496, 8461], [3856, 6302], [3104, 10639], [3412, 5130], [4876, 9135], [2479, 11341], [6149, 9408], [1326, 8918], [772, 1162], [708, 10037], [5844, 8772], [1196, 6593], [260, 2707], [6773, 9208], [794, 1860], [1671, 8549], [916, 7707], [4718, 8145], [8694, 10456], [7284, 10097], [4744, 6333], [1877, 9556], [4145, 5250], [6851, 10215], [4836, 9305], [3299, 9925], [7040, 10087], [1498, 3494], [4036, 7185], [6620, 11221], [3211, 11209], [116, 8189], [6031, 10826], [7156, 11201], [7032, 9445], [8427, 11401], [6875, 9461], [3509, 11051], [3068, 7144], [4067, 9100], [3071, 5163], [4650, 8926], [1042, 5321], [5219, 11298], [2504, 8499], [349, 10238], [982, 4489], [2615, 9269], [4215, 6719], [5307, 11118], [2000, 9905], [5357, 10481], [842, 7138], [7870, 9389], [2050, 6235], [7442, 9851], [2306, 8864], [9181, 9365], [7063, 10986], [186, 2488], [910, 8935], [3551, 7089], [5500, 6221], [9641, 10289], [8713, 11182], [1244, 5024], [6872, 10637], [1073, 9114], [10916, 11362], [548, 4008], [3062, 3141], [5496, 5698], [6888, 8137], [8202, 11417], [4972, 10616], [2531, 2724], [8384, 10899], [1383, 4809], [1099, 5050], [204, 3417], [4891, 11216], [2413, 8330], [1327, 7129], [2000, 5717], [5368, 7583], [7542, 9277], [818, 8191], [353, 10306], [2244, 6427], [6402, 10472], [2448, 10394], [3263, 9789], [923, 8365], [5216, 5657], [10539, 11388], [3627, 10251], [3474, 3593], [681, 5045], [452, 3495], [2353, 3337], [512, 3546], [5090, 10621], [6246, 10309], [1630, 6914], [3526, 7166], [2753, 10626], [1194, 3351], [4717, 8538], [7012, 8307], [2, 5137], [258, 9264], [3341, 4353], [2773, 11251], [5636, 7532], [1801, 4702], [8538, 10911], [6790, 7147], [1957, 5215], [4104, 9250], [6853, 10879], [9962, 11353], [960, 9721], [4012, 9661], [6068, 7162], [925, 10666], [3146, 10678], [5013, 5274], [283, 811], [6876, 9550], [7657, 10115], [5164, 5443], [2273, 11278], [1460, 11175], [8617, 9110], [3140, 10082], [8763, 8935], [9723, 10963], [2233, 4682], [1259, 10892], [1701, 11237], [4898, 9646], [1912, 5041], [769, 10476], [1910, 1962], [1202, 6571], [5016, 10806], [4858, 7214], [1599, 3763], [682, 4091], [9585, 11379], [8747, 10280], [6510, 10489], [2002, 8317], [7377, 10074], [5355, 11403], [1329, 4841], [250, 1401], [155, 3793], [7557, 8729], [1991, 3994], [8926, 9464], [6568, 10844], [957, 6366], [55, 1310], [4104, 8795], [3319, 10740], [7206, 7344], [1318, 6530], [5151, 7035], [1130, 7233], [3313, 10925], [9443, 11272], [3068, 3924], [3066, 7261], [2873, 9872], [7797, 11168], [5240, 8955], [779, 3219], [2561, 5813], [4840, 11465], [2679, 10006], [623, 6089], [5793, 10824], [2394, 10776], [1058, 9400], [1486, 7403], [5338, 5706], [3921, 4900], [643, 2927], [5691, 6733], [4033, 9278], [943, 6602], [1206, 5484], [2837, 3775], [1627, 7234], [1563, 9693], [2215, 7404], [6358, 8135], [2493, 9600], [2226, 5284], [1875, 4303], [283, 4462], [1463, 3046], [382, 8605], [5604, 9366], [4017, 10623], [1210, 8235], [9147, 9543], [2858, 8385], [1889, 7769], [6064, 7257], [3034, 9550], [7612, 10209], [3807, 8719], [3652, 5398], [2669, 8082], [3099, 6912], [4374, 8766], [816, 3770], [5116, 8622], [3456, 4705], [9037, 10472], [6663, 7966], [1095, 6568], [2037, 7990], [2813, 8211], [6352, 9767], [9461, 9487], [3432, 3530], [3425, 8775], [1245, 3102], [4194, 5573], [3775, 10285], [2588, 2616], [287, 10946], [1397, 3873], [5218, 8525], [340, 8328], [1651, 4921], [737, 4766], [6903, 7022], [5445, 11133], [4597, 9346], [3814, 5702], [701, 8492], [2392, 5306], [9140, 10950], [140, 3729], [2134, 6768], [2686, 5029], [7486, 10985], [542, 1265], [1266, 4706], [3251, 10665], [203, 5182], [4621, 7838], [4242, 11225], [7884, 7998], [2686, 5379], [6600, 6812], [9523, 10314], [5882, 9979], [4481, 10460], [2423, 3464], [210, 8231], [4917, 10990], [839, 10654], [1020, 7282], [829, 3550], [4452, 8941], [8024, 10637], [7225, 8712], [3975, 8787], [173, 1933], [2729, 10337], [7206, 10190], [6588, 11309], [1801, 10476], [180, 8739], [3948, 8095], [9051, 10854], [6458, 9738], [7917, 9235], [10124, 10315], [7570, 8373], [414, 7630], [6367, 6587], [4037, 10015], [4925, 10477], [4283, 7038], [4954, 9717], [3956, 10615], [2340, 6970], [7670, 8954], [3267, 6606], [3953, 10317], [2554, 10871], [5076, 7613], [3173, 6944], [616, 4731], [7560, 8035], [736, 3335], [958, 11261], [3535, 7710], [369, 5204], [4978, 7428], [771, 8402], [10289, 10890], [3443, 8875], [3572, 4559], [337, 5666], [1206, 1914], [6612, 9400], [643, 2740], [1073, 8740], [607, 831], [1099, 1293], [1322, 3028], [3257, 8870], [4716, 6115], [4401, 7043], [9103, 9458], [6178, 9293], [913, 7704], [3972, 4651], [4211, 4667], [129, 6841], [1409, 2623], [533, 5204], [999, 4445], [4894, 7326], [4507, 10852], [4080, 11539], [1212, 5492], [7932, 9088], [3481, 4040], [2116, 3424], [1026, 5487], [2795, 3712], [6246, 9585], [4518, 11361], [828, 5502], [1304, 5431], [481, 11056], [2447, 5631], [4245, 8758], [487, 8592], [7636, 8164], [2176, 10995], [3062, 8378], [1823, 6935], [1009, 10394], [4849, 7152], [2509, 9892], [10348, 10665], [4873, 5294], [3093, 6910], [266, 3116], [543, 1704], [7222, 9463], [1401, 9871], [6922, 9171], [387, 10990], [843, 5379], [5170, 8671], [7510, 10095], [2059, 5118], [5722, 6932], [4882, 5006], [1807, 8280], [1468, 2398], [4324, 4678], [1120, 11514], [8181, 11239], [1588, 6664], [2766, 10837], [1025, 1828], [467, 2998], [9959, 10681], [2392, 8152], [4064, 6444], [7398, 10978], [10851, 11262], [2291, 10729], [2348, 4847], [2695, 9092], [2196, 7459], [2015, 9333], [1537, 2161], [4212, 5561], [1076, 4395], [384, 9537], [821, 10292], [6614, 7082], [2880, 11474], [1132, 7710], [170, 9019], [10469, 11318], [4084, 9698], [7969, 9639], [10992, 11093], [3063, 7394], [599, 8378], [6486, 11219], [564, 5159], [6032, 7107], [5225, 5321], [7931, 10286], [2205, 4138], [2743, 11361], [214, 11196], [7189, 9649], [1153, 2521], [11108, 11426], [1645, 2229], [3608, 10119], [6130, 6861], [2269, 2810], [3229, 4838], [176, 7679], [5188, 8822], [5229, 5413], [1425, 8312], [8081, 10203], [1517, 4114], [3184, 4314], [2256, 10869], [5991, 10085], [5683, 5768], [3868, 4946], [4425, 5803], [8480, 10851], [4579, 9653], [761, 2266], [5167, 9823], [1039, 10878], [814, 1900], [5510, 10162], [6475, 6872], [1869, 4165], [2557, 8703], [586, 5833], [2805, 11434], [864, 8029], [2010, 7029], [360, 3800], [3857, 10018], [839, 9662], [2606, 7060], [2475, 8297], [6282, 6827], [9112, 10138], [3478, 10372], [9, 5421], [853, 7466], [1777, 3421], [5388, 11461], [3301, 8231], [3808, 9725], [1910, 6394], [6987, 10938], [69, 6603], [306, 5792], [3117, 9053], [7807, 9953], [1931, 10654], [3482, 6707], [2205, 8944], [873, 11474], [7998, 10652], [3922, 11143], [563, 10494], [527, 1415], [5917, 10620], [8589, 10339], [8362, 11114], [1796, 7204], [2238, 8303], [1734, 4074], [1639, 7220], [2112, 3468], [2545, 5979], [1198, 3313], [731, 4601], [82, 10571], [9856, 10016], [2731, 8586], [9339, 11217], [7637, 7798], [4419, 10794], [9183, 9923], [725, 999], [3560, 8818], [902, 2389], [3587, 6477], [380, 3216], [10496, 10726], [937, 2575], [2609, 8781], [96, 424], [1548, 10084], [5720, 9301], [8342, 9657], [1898, 10840], [1234, 5198], [1509, 7123], [7737, 11011], [3413, 11400], [1645, 3197], [2099, 7339], [4072, 9501], [4160, 9348], [4771, 7058], [7799, 8856], [1639, 9798], [2344, 4891], [5391, 5985], [697, 7595], [4580, 7463], [447, 1004], [2811, 2822], [980, 7883], [2188, 3597], [345, 7143], [720, 6266], [441, 6851], [964, 8878], [379, 5973], [2829, 6811], [3577, 11400], [3265, 9593], [4447, 10502], [5756, 11186], [8176, 9903], [3298, 8952], [9170, 11515], [398, 10537], [8899, 9709], [5752, 10663], [396, 3294], [4635, 10903], [9831, 10443], [7615, 8523], [1541, 11491], [2205, 4301], [5051, 5893], [1793, 9460], [788, 3525], [1223, 2699], [1945, 6067], [1286, 7185], [1749, 1991], [2037, 9039], [8467, 9678], [4432, 10170], [201, 3176], [10187, 11394], [2654, 7695], [4858, 5848], [9179, 10823], [5, 6647], [65, 6698], [2460, 4419], [2891, 4605], [2490, 3507], [867, 11523], [5005, 5494], [7399, 9406], [9018, 10316], [3906, 9723], [6218, 11351], [1170, 6047], [4339, 8824], [6271, 8733], [1353, 10635], [1472, 5631], [3937, 8255], [1726, 7433], [5523, 7527], [230, 10306], [1133, 9548], [534, 10717], [9534, 11522], [2132, 11504], [3684, 11192], [8969, 10023], [536, 8511], [8898, 11311], [7716, 10402], [11231, 11564], [4168, 6848], [4412, 7208], [3538, 4200], [4260, 9820], [1125, 5873], [281, 11375], [1702, 8136], [1630, 2783], [4770, 4822], [1767, 5498], [2414, 2865], [208, 8803], [2598, 5426], [6209, 6296], [10100, 10189], [3037, 9637], [296, 7869], [7168, 8853], [255, 1452], [2909, 10391], [1133, 8743], [197, 11273], [2867, 10165], [4618, 7784], [623, 6951], [1965, 5863], [0, 3562], [1438, 6346], [595, 4903], [156, 8239], [1801, 3954], [10512, 11072], [5691, 7245], [6570, 8345], [5629, 6367], [1585, 9025], [1117, 7459], [5881, 10752], [1620, 11463], [10266, 11016], [2446, 4631], [806, 2090], [3357, 10150], [9771, 10256], [363, 7936], [5530, 6738], [1610, 7742], [4103, 5244], [82, 6196], [1888, 2768], [7020, 11183], [6618, 10614], [1578, 11587], [3899, 10325], [1124, 3311], [6938, 8525], [3708, 9976], [4150, 11075], [6041, 10229], [4319, 5434], [119, 4169], [3701, 7307], [1675, 6982], [307, 7603], [7244, 8982], [1514, 9508], [7092, 9342], [4917, 10429], [327, 1839], [3857, 4033], [4196, 4253], [2415, 8677], [2948, 4976], [3732, 9222], [709, 1352], [330, 4739], [8579, 11237], [2319, 8565], [6359, 8417], [8138, 10713], [7047, 9168], [225, 7547], [598, 3591], [6169, 9424], [3830, 10854], [7562, 10553], [9032, 11340], [2267, 10253], [249, 2656], [3038, 3714], [2760, 7153], [8243, 10133], [2013, 6172], [209, 8892], [582, 5690], [1760, 9109], [8637, 11191], [7016, 8700], [4683, 6195], [3434, 4064], [1477, 6542], [1487, 7230], [5702, 8803], [2252, 6538], [660, 9703], [1969, 9633], [4233, 7837], [1970, 6825], [2030, 6876], [5535, 7350], [3019, 8144], [7931, 11335], [5792, 7915], [904, 7030], [1339, 6204], [191, 4879], [4580, 9049], [1485, 9412], [5155, 7479], [2035, 6846], [1959, 2098], [3879, 6908], [5036, 9450], [4131, 11293], [222, 6070], [605, 11470], [4187, 8192], [3283, 8725], [2753, 9691], [6765, 7495], [6015, 6997], [3188, 3203], [3967, 9357], [2193, 10788], [2310, 11373], [5230, 8942], [4243, 7720], [6228, 10673], [60, 1174], [7310, 7968], [9718, 10058], [2705, 8869], [8743, 9627], [1052, 5342], [4935, 5210], [5998, 8117], [5055, 9476], [1825, 10927], [3198, 9152], [1235, 1262], [6377, 10365], [3960, 4779], [6425, 7403], [5371, 11375], [3191, 11364], [6897, 9842], [329, 9269], [5742, 6592], [6521, 10494], [8818, 11090], [2839, 10912], [5927, 9755], [5366, 7998], [230, 8509], [5505, 10062], [371, 1574], [2994, 4784], [650, 10034], [901, 985], [4641, 11125], [4039, 6361], [3014, 8819], [7547, 9735], [8670, 9283], [4322, 5868], [1581, 7510], [366, 4209], [101, 9418], [16, 6836], [3025, 9358], [4752, 8081], [2189, 2670], [8790, 11270], [1030, 9100], [6790, 10668], [4020, 7408], [3956, 9867], [4825, 6115], [4114, 7043], [2397, 2592], [3494, 11499], [1161, 4830], [774, 8356], [2486, 6047], [903, 4040], [999, 10918], [1558, 8438], [2957, 7130], [1004, 11262], [8753, 9109], [8653, 11157], [747, 9162], [7342, 8148], [6977, 7461], [1022, 11087], [318, 354], [1744, 8039], [5219, 5638], [518, 6831], [6722, 9571], [2357, 9959], [4636, 9195], [8516, 8792], [5092, 7748], [1976, 10267], [703, 3578], [5209, 8333], [5566, 6850], [1670, 5996], [954, 10744], [2191, 11360], [7989, 9248], [10105, 10964], [9009, 9829], [4062, 6829], [5115, 5638], [6412, 10469], [6360, 10279], [9803, 9875], [7, 11580], [6602, 9812], [3403, 11330], [2627, 4693], [4769, 7630], [745, 1895], [2864, 10298], [8339, 9253], [3953, 8764], [2356, 9333], [644, 5226], [3735, 10756], [8587, 9732], [1803, 4431], [10168, 10912], [6159, 6209], [4354, 6075], [2264, 8963], [1791, 6299], [299, 10826], [6118, 9591], [4965, 7168], [4621, 7358], [7590, 11205], [1269, 1464], [4438, 8405], [6401, 9125], [7958, 9911], [3166, 10986], [11041, 11416], [3883, 6840], [4313, 6424], [8234, 8274], [1130, 1305], [1821, 5360], [8914, 11416], [98, 6756], [6761, 9818], [1718, 11274], [1816, 8399], [3547, 10304], [9087, 9654], [256, 11479], [8367, 10496], [7467, 8519], [8432, 10891], [1467, 10874], [3986, 10351], [863, 5283], [1212, 10355], [2110, 11505], [2829, 4022], [2204, 3970], [932, 10715], [7065, 11333], [3940, 9602], [7620, 9111], [1638, 3000], [4119, 5403], [1048, 11048], [3578, 11064], [2998, 8503], [5725, 7929], [10772, 11510], [2773, 9324], [968, 2774], [6028, 8869], [2769, 5418], [10389, 10991], [5033, 7786], [308, 3667], [7897, 9927], [457, 7173], [3416, 6168], [4852, 8125], [5468, 11097], [5034, 7607], [3527, 6938], [4316, 5112], [3277, 6763], [890, 9657], [6045, 6190], [4434, 9305], [570, 1573], [2068, 10824], [3250, 5317], [3435, 10732], [231, 4736], [695, 9566], [4614, 11343], [6140, 9810], [1775, 6034], [129, 10094], [7901, 9645], [3481, 3910], [736, 8816], [7957, 9954], [8676, 9641], [835, 1625], [7397, 8799], [6743, 10261], [9699, 9739], [1648, 11527], [1982, 10649], [7622, 11361], [4592, 9490], [10946, 11043], [1326, 2616], [109, 4904], [7273, 10426], [2256, 5933], [6485, 8690], [5616, 6026], [4279, 8212], [3850, 11482], [5717, 6832], [5490, 7607], [6460, 10323], [240, 11214], [10106, 11002], [1668, 9146], [2038, 3761], [4001, 5235], [8011, 10540], [7290, 10780], [4031, 11493], [6261, 10113], [6431, 8804], [8157, 10365], [4112, 6005], [3157, 4321], [6049, 6258], [686, 1882], [5016, 11107], [3994, 5195], [6535, 8403], [2997, 9701], [1562, 10598], [122, 8899], [5046, 10195], [4975, 11483], [2932, 8525], [5229, 9121], [1018, 6943], [2325, 6800], [7089, 10093], [3532, 8705], [1923, 6231], [5627, 10298], [6735, 8060], [3316, 7360], [5838, 10518], [7698, 8107], [7293, 10273], [3556, 3814], [10472, 11486], [763, 6020], [6174, 7434], [1695, 6754], [4403, 6130], [6574, 8307], [1772, 7940], [1682, 11430], [306, 856], [2833, 10774], [2967, 7556], [3402, 6730], [1052, 8001], [7970, 10084], [4813, 6186], [7431, 9052], [280, 2237], [1699, 8751], [1541, 1749], [1821, 4018], [4128, 9466], [8885, 11588], [2753, 8162], [800, 8130], [4626, 6710], [3729, 8414], [5802, 7804], [3374, 3527], [7131, 11392], [10178, 10234], [904, 11112], [9746, 10577], [5859, 7557], [914, 5384], [6707, 9344], [5671, 7506], [1652, 2115], [4519, 8691], [8867, 10608], [697, 10230], [1186, 7011], [2705, 10723], [2454, 6940], [1342, 5272], [225, 4758], [3888, 8070], [1527, 10687], [3757, 9307], [4657, 11284], [6930, 7322], [429, 7971], [4474, 5915], [2667, 4954], [1731, 7484], [7618, 8073], [2265, 10801], [5446, 8677], [6213, 11064], [1287, 6689], [1163, 4933], [2668, 4775], [4531, 9051], [670, 11416], [637, 9024], [2622, 7813], [1378, 6026], [5335, 7533], [4086, 5402], [4953, 7239], [5140, 7065], [1967, 9050], [4357, 9837], [3056, 7516], [2438, 8635], [3276, 9734], [970, 11304], [3186, 6808], [7821, 8001], [851, 3476], [5954, 6989], [1780, 3939], [8932, 10198], [9090, 11538], [5826, 7743], [2371, 4380], [7278, 10233], [2400, 9282], [3546, 4118], [3583, 7383], [5835, 8236], [6381, 8904], [4812, 11521], [2668, 7003], [4872, 11572], [2448, 9703], [7148, 11291], [389, 570], [8330, 9167], [3003, 6700], [4689, 9586], [702, 8614], [9317, 9608], [105, 10610], [2686, 8713], [9910, 10122], [634, 7921], [1995, 3877], [4044, 10787], [2464, 9051], [5671, 5896], [5332, 6430], [998, 1967], [1989, 10478], [659, 2501], [1555, 6988], [684, 10667], [2960, 10386], [2652, 6069], [369, 2927], [434, 3322], [4484, 8026], [906, 5761], [4569, 9827], [550, 4436], [3351, 7009], [204, 3799], [52, 10575], [1449, 9194], [2827, 7763], [4164, 5577], [3978, 6353], [8240, 9250], [2075, 5684], [58, 7357], [10166, 10842], [1570, 4236], [1102, 1916], [990, 1675], [5802, 8422], [669, 6198], [750, 1464], [440, 484], [5520, 8709], [2779, 10351], [4302, 5137], [3935, 10039], [3312, 6650], [7016, 10717], [7202, 7689], [5177, 5337], [4082, 6302], [3079, 7610], [2781, 3981], [164, 8133], [214, 1080], [6442, 11384], [1435, 8333], [4508, 8396], [899, 5320], [1611, 3082], [957, 8708], [6781, 7817], [1774, 4766], [3474, 7358], [3785, 8940], [395, 6726], [6248, 10737], [2599, 4125], [6220, 6437], [3358, 6594], [142, 5499], [5496, 5625], [4799, 8171], [547, 6716], [4463, 8222], [3121, 10064], [4556, 5003], [3771, 6948], [5734, 8422], [1284, 10392], [2564, 7672], [1432, 6880], [4419, 5671], [5387, 7560], [7329, 8157], [817, 5264], [8721, 10596], [3518, 9885], [7969, 8517], [2564, 11055], [6886, 7587], [1502, 8750], [9893, 10036], [8062, 8681], [2616, 8212], [11076, 11547], [8866, 9415], [4229, 11559], [4472, 4901], [5123, 9557], [3352, 8253], [2877, 5516], [1736, 4608], [2758, 7514], [7986, 9975], [3339, 7267], [3836, 8073], [7483, 10852], [1566, 11552], [6055, 6504], [8264, 11417], [5027, 9445], [9652, 9950], [1405, 7662], [5756, 9096], [9649, 9652], [1810, 2463], [8375, 9154], [3767, 5620], [3084, 6344], [11041, 11310], [2894, 6220], [4451, 6252], [9270, 10006], [767, 10007], [705, 9129], [872, 1133], [5070, 8741], [1737, 6307], [3362, 11169], [4135, 5457], [1234, 5686], [1483, 8642], [743, 8832], [5223, 5950], [2375, 3561], [5437, 9851], [9229, 9601], [4589, 11447], [4656, 7007], [6383, 11422], [7694, 8015], [8191, 8821], [4927, 5026], [1219, 4223], [4615, 9635], [5492, 10662], [538, 10655], [1735, 5456], [747, 1380], [271, 11250], [1018, 6569], [8022, 9924], [5904, 11545], [2098, 7201], [5587, 9394], [2383, 3398], [2350, 7422], [8726, 11208], [4407, 6279], [16, 7698], [2962, 6488], [1729, 8243], [8637, 9638], [796, 8038], [2635, 7002], [4710, 9471], [130, 1569], [2590, 7259], [3985, 9215], [1779, 4573], [3649, 10020], [4263, 4995], [1465, 6103], [3870, 8676], [3275, 5083], [6876, 7517], [620, 8751], [5358, 6659], [2304, 4394], [11111, 11220], [9020, 10500], [653, 8110], [7091, 8610], [364, 1591], [5503, 6259], [1242, 11134], [10287, 10958], [6925, 10792], [3685, 5139], [1109, 5128], [636, 2464], [4326, 9077], [5754, 7009], [1050, 7931], [1229, 3732], [7154, 9309], [4403, 11017], [7863, 8308], [2598, 6719], [325, 4265], [734, 9388], [9851, 10778], [9450, 10434], [2100, 6442], [1322, 9558], [4550, 7280], [7478, 11126], [3190, 7762], [6493, 10731], [4970, 9529], [5949, 10109], [5799, 6378], [4328, 5366], [3216, 5950], [5793, 6563], [1997, 9323], [2685, 3281], [3638, 8302], [3732, 7937], [2310, 6787], [3134, 9708], [278, 1012], [2697, 9707], [4481, 8964], [176, 2987], [1788, 7644], [1041, 5909], [7276, 10968], [3790, 8292], [3282, 9579], [119, 10000], [7211, 9038], [7889, 8724], [7359, 9690], [4962, 5480], [5982, 8313], [882, 8481], [4208, 9744], [3345, 10278], [9694, 9989], [1043, 2922], [8598, 10352], [4398, 9087], [6144, 9772], [2369, 6993], [3831, 10171], [4359, 6126], [9071, 9983], [4080, 7465], [6074, 7498], [5573, 9956], [4983, 6707], [10060, 10497], [748, 8639], [8833, 9845], [9583, 11097], [8557, 10701], [2764, 6741], [116, 5164], [249, 1721], [1178, 4436], [2303, 8975], [8516, 11077], [553, 2132], [3755, 5049], [2724, 4309], [4936, 8739], [2637, 11480], [2785, 7968], [1114, 10278], [2105, 8209], [3509, 4993], [3034, 8672], [3476, 9771], [1757, 10909], [2660, 5987], [3501, 10767], [6357, 6631], [725, 9944], [1032, 10626], [879, 962], [2023, 5551], [1028, 10884], [1468, 11156], [3137, 5013], [9279, 9881], [278, 8851], [5603, 11245], [7535, 10400], [10709, 11269], [1870, 4905], [3131, 10833], [6959, 10240], [1572, 7722], [833, 10766], [1110, 9354], [9919, 10591], [2479, 3673], [362, 8148], [3932, 9017], [8476, 10846], [2569, 9982], [2658, 8519], [1223, 9416], [5932, 6586], [7978, 9815], [6383, 7047], [1257, 9000], [6978, 10640], [8514, 10549], [8502, 9034], [3932, 5984], [7920, 9810], [2271, 4848], [4176, 5563], [10387, 11002], [5160, 6487], [5414, 7535], [2420, 5321], [7086, 8079], [7032, 11226], [3047, 11081], [1759, 3360], [4979, 10990], [5910, 8116], [922, 11531], [17, 2794], [7988, 10102], [555, 3601], [646, 3719], [2726, 5778], [11031, 11454], [2700, 4557], [1454, 6107], [7230, 7454], [1698, 8719], [2138, 8991], [1450, 2201], [2214, 7323], [1756, 5691], [5713, 10204], [606, 3539], [4964, 6144], [3873, 4599], [2006, 10003], [3150, 8176], [1720, 3001], [1847, 9192], [3717, 9721], [374, 7353], [4804, 5108], [3302, 4783], [7727, 8610], [1091, 3961], [2987, 3459], [745, 2570], [6825, 9970], [1902, 5866], [4880, 9075], [2306, 4229], [8929, 10144], [3446, 4912], [6663, 8861], [2516, 10640], [336, 4967], [7686, 8959], [5320, 6314], [4697, 7089], [4542, 10184], [10201, 10946], [7395, 11412], [3561, 11436], [3788, 4245], [1293, 10080], [10162, 11368], [3161, 8284], [3643, 7304], [1996, 4346], [7942, 8548], [5462, 8999], [2714, 10224], [1188, 9505], [1594, 3777], [3743, 7885], [6953, 11417], [1774, 2432], [6784, 9164], [8062, 10535], [1343, 3377], [7103, 11361], [3051, 3578], [5726, 9230], [6745, 6957], [939, 8397], [1082, 10957], [1954, 10886], [4447, 8388], [1897, 8100], [5720, 9415], [7707, 9031], [236, 6964], [2288, 6975], [6305, 9287], [9976, 10962], [3400, 9774], [1452, 3670], [6185, 7650], [1342, 5784], [5423, 5637], [8578, 8708], [8478, 10756], [2726, 7551], [7788, 10309], [2674, 6637], [3804, 7356], [153, 671], [2551, 7735], [7623, 8929], [1315, 3557], [4073, 9466], [5445, 9718], [1155, 9691], [2607, 5765], [1741, 2618], [1326, 10512], [560, 4563], [2234, 5934], [4448, 4775], [5148, 5186], [7279, 8688], [2283, 5826], [4522, 5663], [5273, 7517], [6795, 11500], [2206, 3512], [946, 7608], [10875, 11128], [3241, 7377], [1565, 10097], [552, 3547], [6076, 8780], [2517, 11483], [5497, 9103], [242, 1786], [902, 4276], [4823, 6126], [4658, 8533], [6380, 6912], [3386, 11114], [6619, 9180], [2758, 4375], [1331, 10051], [6131, 8837], [6238, 9488], [665, 7746], [6117, 11413], [1009, 1140], [5059, 5844], [5520, 6993], [5845, 6753], [1447, 11165], [5860, 7061], [2035, 4919], [4800, 7835], [3473, 9955], [3686, 11002], [9546, 9768], [4082, 4586], [5238, 10690], [2978, 9195], [7675, 11266], [7639, 9357], [8683, 10332], [185, 4261], [4235, 4801], [8032, 9059], [9162, 9778], [4274, 8139], [7849, 10106], [4862, 9063], [712, 745], [469, 987], [904, 915], [5387, 10382], [6934, 10480], [4043, 11397], [342, 4595], [8308, 11559], [9180, 11488], [949, 9733], [4823, 5321], [1700, 7423], [1693, 10416], [49, 4723], [5776, 10315], [1853, 4632], [6149, 6359], [2405, 5145], [2188, 7362], [5, 1418], [7661, 8900], [2843, 8754], [4670, 4705], [5896, 11548], [1342, 9785], [2556, 8697], [94, 4092], [226, 5709], [9190, 11021], [5114, 11512], [8185, 11502], [10156, 10585], [1775, 5099], [1966, 2415], [1297, 2845], [3726, 9222], [6038, 10850], [716, 6475], [5537, 6892], [1796, 2943], [5430, 6271], [5567, 8232], [4514, 10177], [3196, 9407], [7836, 10944], [2952, 6014], [8325, 11108], [2664, 9519], [7182, 9373], [2540, 4757], [2598, 4735], [9869, 10154], [6367, 6945], [4516, 6466], [2211, 10890], [9802, 11561], [1474, 10597], [2486, 7153], [5037, 8797], [1867, 10299], [2280, 6496], [2405, 11106], [1055, 1753], [2548, 7250], [2734, 3468], [7529, 9080], [1274, 6752], [3269, 3977], [1927, 5819], [5323, 11231], [4253, 11317], [216, 4566], [10269, 10596], [1608, 2841], [2327, 5938], [2105, 3647], [637, 6316], [4563, 8510], [1380, 4145], [555, 7415], [168, 10941], [1269, 6758], [1164, 8462], [2976, 3351], [293, 3473], [3775, 10911], [2567, 8781], [444, 2888], [108, 10109], [792, 3571], [4993, 8444], [2968, 6092], [850, 7713], [4705, 11195], [1314, 6127], [4144, 7186], [5040, 7509], [1965, 10783], [5255, 9383], [3321, 6395], [5879, 11462], [6624, 10118], [2240, 6292], [6009, 10754], [2836, 6323], [1895, 8509], [675, 11280], [6721, 7018], [10045, 10864], [618, 4330], [2015, 7113], [4687, 6832], [2789, 5753], [9053, 9298], [1789, 4326], [2500, 9033], [258, 8898], [1693, 8001], [1412, 7759], [4710, 4722], [937, 2770], [4744, 9968], [4245, 6083], [795, 10234], [3498, 11518], [4083, 8007], [6015, 7916], [225, 3473], [5067, 5144], [466, 3535], [6467, 7444], [834, 1487], [8999, 11290], [427, 6990], [2235, 11559], [1984, 3612], [1358, 7499], [7620, 10217], [2597, 8161], [975, 1318], [8336, 8852], [4028, 10528], [4181, 10770], [3718, 9548], [1420, 10979], [820, 7042], [5214, 11556], [907, 3254], [197, 11200], [5359, 5494], [2114, 5159], [7294, 11336], [10955, 11569], [2371, 6478], [181, 5779], [253, 8099], [5628, 9102], [2262, 5030], [3072, 10497], [8035, 10967], [3913, 4697], [4235, 10575], [2704, 9512], [23, 5543], [3787, 9661], [2045, 6843], [4500, 8779], [290, 6072], [2695, 8645], [699, 11195], [6829, 11542], [5707, 10684], [757, 8921], [260, 1699], [9098, 10090], [1541, 9003], [7697, 10571], [8129, 10228], [1324, 4050], [2064, 8024], [3648, 6469], [3935, 9909], [2997, 5196], [566, 2156], [543, 6868], [2687, 4216], [2150, 7017], [5049, 5961], [8034, 10341], [3146, 8702], [2619, 5775], [5630, 9124], [8281, 10218], [819, 5985], [7591, 9771], [2853, 5447], [4882, 10170], [7879, 9649], [8985, 11502], [4360, 5335], [872, 5996], [1335, 1556], [1486, 7387], [9946, 10722], [1106, 1504], [3253, 4785], [6434, 6825], [10386, 10994], [4128, 9149], [1110, 2377], [389, 1863], [237, 2223], [4215, 5361], [4371, 11536], [846, 3270], [603, 10682], [4395, 10432], [4126, 5289], [1781, 7685], [1805, 5827], [4050, 6233], [7004, 9048], [6670, 9926], [3373, 10155], [10193, 10949], [3837, 8569], [5850, 9406], [2338, 5509], [3124, 6418], [2809, 5094], [2704, 7552], [1057, 10256], [591, 2347], [6821, 7062], [7065, 9674], [3271, 6845], [2696, 6156], [953, 6900], [896, 6366], [3544, 7943], [7957, 10255], [7931, 9034], [7251, 9275], [1826, 4021], [2383, 11294], [1977, 4190], [9948, 10744], [2637, 5926], [11, 8834], [1477, 3086], [2414, 9826], [1442, 10447], [477, 905], [8083, 9778], [4781, 9663], [137, 10636], [4094, 5727], [2403, 3251], [658, 3168], [508, 5853], [2842, 9714], [478, 1480], [1307, 6997], [1927, 10088], [1247, 9575], [6259, 7308], [443, 8060], [2728, 11305], [1088, 2348], [6196, 6205], [2118, 10033], [583, 900], [7403, 8864], [1233, 9118], [7311, 9275], [4090, 7836], [4279, 10741], [2417, 9319], [5901, 11168], [51, 10838], [3007, 6906], [10, 4421], [8146, 9322], [82, 325], [2630, 3950], [4899, 8914], [71, 1664], [10163, 11032], [1158, 3467], [9036, 9830], [638, 957], [9915, 10930], [7545, 10795], [9405, 11390], [9381, 10996], [5738, 10588], [3152, 9889], [6442, 8489], [7047, 10518], [967, 3118], [1135, 11562], [3649, 4279], [1975, 2908], [2207, 8169], [3521, 11449], [4044, 4054], [4427, 10208], [1436, 5259], [4915, 6764], [2332, 10500], [3380, 8211], [2325, 9329], [8923, 11242], [6841, 8356], [5134, 9511], [523, 6460], [1142, 1779], [9013, 11135], [111, 1039], [5840, 7458], [1912, 3683], [363, 7676], [2323, 3217], [456, 7867], [1199, 1532], [1722, 7723], [2379, 5778], [950, 8375], [4434, 10224], [6762, 10133], [2898, 8036], [749, 7338], [6177, 6447], [2216, 5198], [1039, 4633], [1591, 11562], [6701, 9076], [99, 3257], [4605, 8012], [5163, 10225], [1835, 2473], [3543, 9090], [3388, 5015], [4198, 10482], [6032, 9856], [5626, 8414], [5841, 6124], [1789, 11173], [7434, 8819], [5686, 9219], [3237, 11235], [4669, 5903], [5862, 10384], [2814, 4901], [7423, 11289], [2566, 4799], [670, 5301], [3650, 5173], [1905, 9254], [2244, 2304], [3644, 4604], [2123, 4229], [1780, 7273], [1009, 8150], [4612, 4995], [5453, 5611], [7383, 11109], [410, 651], [186, 943], [3200, 10979], [1307, 10998], [1873, 7437], [1990, 8022], [6348, 6463], [491, 11378], [1088, 2966], [4787, 6689], [215, 3566], [2419, 7381], [1171, 1688], [391, 11147], [1170, 8633], [275, 7000], [430, 4659], [6433, 9395], [8513, 11454], [27, 6898], [10003, 10264], [6594, 10252], [1428, 3007], [2141, 8541], [2700, 10225], [6559, 11197], [4188, 8208], [4563, 7331], [8945, 11084], [9125, 9739], [7485, 11362], [2530, 4337], [2494, 8844], [539, 1569], [6550, 10330], [662, 9516], [2181, 7566], [5660, 9071], [596, 5486], [219, 2530], [10700, 11481], [7687, 10715], [5440, 10236], [5192, 10134], [7649, 7979], [6752, 10437], [4978, 5452], [2330, 3875], [5093, 9374], [1542, 6303], [1619, 8967], [1514, 10671], [4877, 8029], [1582, 2669], [2454, 9014], [701, 4906], [2910, 9819], [2503, 8906], [3783, 6186], [6107, 8605], [73, 2304], [4744, 5406], [7020, 11541], [327, 9768], [1325, 8116], [4246, 5129], [7396, 7856], [1044, 2212], [349, 667], [6881, 11382], [6449, 9473], [35, 2951], [3675, 5313], [2954, 8963], [5863, 8595], [1842, 9547], [595, 1073], [245, 2946], [6786, 11495], [1557, 9563], [1252, 9681], [3227, 7028], [118, 5056], [2291, 3142], [341, 375], [86, 5518], [1889, 8989], [1524, 10554], [2290, 3671], [6283, 7841], [7988, 10777], [3721, 7536], [2132, 5714], [5564, 11537], [9502, 11112], [10184, 10917], [1811, 10210], [4581, 6300], [3645, 8830], [405, 3177], [9384, 9521], [874, 6099], [6634, 7667], [221, 3999], [56, 6406], [3512, 6207], [6256, 7492], [3792, 8476], [7030, 11050], [3174, 9595], [6699, 11445], [8174, 9223], [4727, 6475], [4658, 8590], [2891, 4776], [4472, 5202], [4759, 8642], [6402, 10700], [6247, 6625], [9576, 11569], [108, 2782], [925, 2250], [1140, 6376], [5173, 6188], [10348, 11267], [1633, 6659], [10311, 11385], [6391, 10137], [5670, 10377], [2905, 7461], [7175, 10219], [1024, 8271], [6161, 10614], [8771, 9455], [6570, 9321], [4696, 7138], [2294, 8246], [556, 5924], [2648, 3082], [1300, 10771], [6251, 9726], [1265, 7552], [1602, 3939], [3231, 6291], [1240, 2769], [362, 9441], [1200, 10540], [2757, 4156], [7083, 9475], [4375, 7847], [5268, 8653], [6580, 8854], [3770, 9201], [1774, 5335], [1472, 8380], [94, 4149], [1090, 1670], [5386, 9813], [1532, 2769], [7158, 7555], [1714, 8667], [2677, 3796], [629, 11074], [7406, 8788], [7497, 8152], [1645, 2831], [8835, 9574], [7273, 9198], [1584, 9725], [796, 1573], [5596, 7529], [4911, 6672], [10888, 10941], [7992, 11514], [4935, 5568], [4162, 9028], [1323, 10889], [6173, 6786], [1635, 2493], [3866, 4721], [9540, 11433], [3064, 4033], [3683, 5768], [4117, 5471], [3177, 4095], [5818, 8665], [987, 4150], [685, 3031], [2560, 8822], [9111, 10919], [1745, 6394], [2356, 8268], [360, 10818], [5726, 8295], [1089, 11193], [8644, 11453], [2818, 5855], [5278, 7381], [1166, 5963], [7267, 7824], [1086, 3725], [580, 5839], [7369, 11484], [1728, 11301], [10090, 11095], [813, 1122], [1093, 3391], [2715, 4572], [688, 5557], [10, 6625], [3747, 6668], [7601, 9548], [6255, 7484], [2313, 4757], [1902, 2971], [1662, 9900], [93, 5347], [3768, 4512], [662, 1303], [2544, 3377], [2244, 9501], [2086, 2499], [1678, 6646], [4943, 7633], [7936, 10376], [5840, 9312], [6472, 9000], [421, 7256], [3232, 4101], [4027, 7782], [543, 1769], [5988, 8429], [6423, 8357], [4463, 10564], [9406, 9658], [1100, 10173], [1762, 9326], [9035, 11408], [3309, 8670], [1351, 7540], [1559, 1827], [189, 1621], [7902, 9637], [10742, 11384], [9721, 11332], [2741, 6119], [10203, 11106], [8527, 8908], [4286, 5390], [9526, 10864], [1620, 2453], [2401, 3018], [1802, 8351], [2511, 6596], [2299, 9157], [4066, 6555], [865, 6492], [3287, 6036], [3132, 8377], [293, 1570], [3575, 5914], [2422, 4245], [5335, 6305], [3504, 7202], [5777, 7404], [1792, 3849], [2602, 9316], [9130, 10490], [10291, 10522], [4866, 10930], [5120, 8568], [1166, 7736], [3068, 11186], [2101, 7987], [2908, 7521], [4983, 9236], [3023, 7279], [9967, 10583], [3084, 8686], [1030, 11231], [3265, 3779], [2050, 6894], [9484, 9833], [3536, 8968], [5755, 11536], [337, 6699], [7173, 11409], [112, 1104], [5808, 11547], [581, 6278], [3470, 4534], [5765, 8467], [3216, 6869], [428, 2279], [2735, 3563], [4801, 5916], [1000, 1916], [67, 10379], [3914, 7584], [1235, 6694], [2675, 6141], [7372, 8212], [4282, 6290], [2889, 4380], [733, 8927], [3788, 8384], [3910, 7815], [522, 1510], [5126, 7554], [8209, 9059], [3531, 4786], [418, 6822], [2510, 11150], [4781, 10525], [3315, 3441], [818, 7695], [9997, 10717], [358, 10154], [4023, 7877], [7333, 8607], [10150, 10959], [8407, 10922], [7714, 10958], [499, 6602], [530, 1751], [2025, 7321], [6068, 10854], [5104, 9084], [678, 5032], [1464, 5941], [5688, 7600], [6309, 10916], [5497, 8786], [7775, 11584], [6658, 8818], [2693, 5915], [5155, 8268], [857, 4216], [6782, 9793], [170, 9702], [3043, 7425], [6114, 6661], [4870, 9038], [518, 10385], [1445, 10021], [6801, 10974], [10069, 11478], [5669, 6395], [9336, 11334], [4523, 11532], [6667, 8880], [7782, 8567], [2527, 7666], [6255, 9875], [5876, 6846], [3238, 10121], [3293, 9828], [1550, 10572], [354, 4288], [8490, 9189], [6608, 7145], [9820, 10750], [3278, 11398], [1199, 5777], [3754, 4911], [7916, 9856], [6789, 8654], [2871, 4069], [357, 5690], [1441, 5310], [1000, 5567], [4895, 6950], [3487, 5506], [3268, 4644], [4520, 10456], [7064, 10929], [6723, 10636], [892, 4694], [5902, 11426], [6808, 10185], [922, 6034], [2047, 10573], [2102, 3864], [1057, 5670], [1076, 9884], [1272, 7544], [1795, 9571], [1482, 4910], [9578, 10412], [6390, 11365], [980, 7143], [3913, 11333], [4093, 9988], [625, 2256], [258, 7158], [6082, 10431], [3749, 3762], [2278, 2750], [166, 7569], [2504, 8166], [436, 2734], [3271, 10553], [317, 1322], [2808, 9331], [1440, 5034], [2307, 4619], [2207, 7421], [1909, 3792], [6914, 10180], [4508, 8136], [3671, 10645], [7525, 11273], [2666, 8874], [372, 1379], [3173, 3952], [515, 933], [7221, 7829], [4100, 10004], [4074, 8783], [1230, 9546], [1980, 10798], [490, 9736], [7305, 10186], [2172, 4552], [7454, 9528], [5721, 10960], [1969, 3469], [1791, 11276], [6449, 7757], [9537, 9606], [3990, 9085], [6083, 9097], [1914, 7145], [5711, 7239], [916, 2381], [4456, 6791], [7288, 8677], [7014, 9606], [507, 641], [1845, 8479], [4608, 7562], [2531, 5774], [7073, 10186], [1378, 3351], [3761, 9383], [1531, 3593], [1469, 2715], [9024, 10145], [29, 9684], [1336, 9541], [1337, 10143], [4391, 6746], [4139, 4990], [2171, 3926], [5598, 8651], [834, 5358], [6654, 11141], [4401, 5929], [5474, 10278], [2189, 11298], [5828, 10806], [6650, 11372], [2913, 4913], [3182, 8521], [5683, 10802], [3813, 6109], [234, 7406], [535, 10552], [1445, 6801], [1008, 10964], [4764, 10303], [1314, 8038], [3334, 10046], [3108, 7259], [9406, 9634], [8248, 9119], [7226, 10377], [4671, 4827], [460, 4901], [4854, 7163], [2827, 11154], [1210, 3901], [828, 7771], [9114, 9233], [3290, 5960], [7713, 8960], [6135, 8051], [3358, 10790], [7095, 10079], [10761, 11410], [1614, 11309], [336, 4276], [177, 9881], [507, 5097], [1267, 11201], [4144, 7942], [8824, 11507], [5865, 6096], [2685, 7664], [682, 6791], [7230, 9341], [1814, 1921], [2151, 6976], [2675, 3189], [307, 4635], [2218, 5165], [9840, 11565], [3140, 5211], [3365, 7773], [3790, 6259], [3139, 11402], [2834, 10766], [1461, 6879], [4415, 9694], [6739, 7949], [1544, 5601], [4837, 7882], [3968, 5218], [8883, 10932], [416, 11344], [1763, 7594], [2281, 2861], [1250, 8537], [6554, 9300], [1356, 8933], [6542, 11168], [6537, 10824], [1895, 2044], [7045, 8756], [4674, 9931], [7659, 10901], [7755, 10609], [214, 7049], [3106, 4822], [4136, 6091], [2102, 5905], [4311, 10818], [5973, 9146], [1394, 11268], [124, 7506], [4286, 6789], [81, 4426], [1046, 7552], [422, 10354], [3375, 3899], [8665, 8736], [4563, 8006], [2794, 10535], [1576, 6963], [5330, 10393], [2167, 7404], [5491, 11250], [6140, 9444], [1420, 5669], [2230, 11136], [1041, 6804], [4639, 6311], [2092, 11202], [1376, 9534], [9559, 10117], [10488, 10580], [1816, 9806], [7793, 9157], [3361, 8323], [4491, 6790], [4608, 7375], [8625, 9687], [903, 10253], [2343, 5536], [5815, 10034], [2153, 9576], [302, 1927], [683, 11418], [5590, 10855], [2763, 7815], [1323, 1952], [2673, 4889], [1711, 5444], [3110, 4890], [307, 6408], [4189, 4920], [4904, 10527], [2391, 8586], [1918, 6676], [4722, 8766], [2943, 9853], [5799, 11379], [2664, 10438], [4149, 8904], [8920, 9204], [8758, 8876], [974, 1394], [6149, 6473], [920, 10957], [3832, 10136], [506, 9627], [1368, 4704], [6259, 10024], [7384, 8147], [6883, 9851], [3669, 5419], [8215, 10704], [1641, 2769], [552, 2051], [5154, 7268], [9887, 11248], [3207, 10434], [7147, 10082], [6901, 7397], [5837, 9927], [1833, 6322], [7643, 11417], [2908, 6610], [3153, 5660], [2158, 10993], [756, 1450], [637, 10618], [3705, 3921], [600, 4320], [6582, 11185], [4648, 8197], [3870, 5651], [3641, 5599], [9033, 9215], [1748, 9782], [5512, 7484], [4292, 10255], [4328, 9912], [3901, 10599], [23, 11105], [1685, 2263], [613, 1522], [1423, 6989], [7317, 11001], [8083, 10534], [10369, 10941], [1049, 2052], [6804, 9692], [592, 10444], [2053, 4352], [3042, 11282], [4904, 5534], [458, 830], [9043, 9529], [636, 9238], [1660, 3145], [579, 8704], [1632, 7513], [1790, 8853], [948, 3848], [2624, 6046], [7018, 10560], [204, 6548], [1383, 1524], [5605, 6520], [5993, 6602], [286, 2416], [3860, 10574], [4418, 7869], [2866, 5929], [4698, 10138], [3540, 8125], [7344, 9390], [52, 8786], [3321, 6509], [8835, 11054], [6125, 8599], [858, 10347], [457, 10003], [4504, 4610], [4949, 10888], [6625, 6670], [2353, 3085], [5503, 5812], [276, 6959], [1581, 3737], [2673, 8890], [944, 2924], [4151, 6185], [1348, 6949], [1167, 8823], [5957, 6921], [2839, 2951], [6541, 10355], [5362, 8963], [4801, 10616], [1038, 9352], [1902, 5256], [281, 7683], [3832, 10754], [4424, 8414], [1970, 3670], [2501, 9722], [1876, 7418], [350, 2535], [1750, 11251], [1217, 8536], [4208, 10452], [5887, 11413], [1704, 7119], [685, 7894], [2736, 2799], [6252, 9821], [3162, 4893], [2518, 7043], [5873, 10956], [4505, 6659], [1678, 2865], [4229, 10925], [3474, 5919], [2913, 7572], [1011, 3341], [10169, 11148], [919, 10168], [5587, 7337], [3312, 10472], [8226, 11080], [1230, 5334], [5299, 10088], [201, 1257], [2028, 2870], [1946, 11139], [5021, 5613], [2099, 11381], [7599, 11332], [8370, 11209], [2339, 10087], [9870, 10707], [1559, 10878], [3429, 5745], [3212, 7208], [6321, 7682], [4413, 5915], [567, 9312], [2023, 2876], [8520, 11153], [3010, 3317], [3192, 9215], [6862, 7282], [6034, 7625], [1865, 4919], [4224, 6393], [3169, 7511], [3503, 6633], [4341, 7732], [2913, 9800], [8089, 11317], [4013, 5392], [708, 5760], [1606, 6910], [2409, 11206], [4274, 9139], [7173, 8083], [459, 8439], [3744, 6695], [753, 8162], [2626, 6710], [8004, 11394], [170, 5303], [5433, 6065], [1291, 1772], [599, 11078], [1900, 2819], [568, 5349], [9644, 10902], [6003, 10567], [153, 411], [5474, 10977], [4364, 5218], [8221, 10281], [401, 3142], [2019, 10997], [3478, 10494], [5195, 8529], [5661, 7770], [1175, 10083], [246, 3204], [3912, 10951], [3697, 6825], [4440, 11070], [3352, 9042], [2729, 9817], [539, 5708], [5181, 7318], [2230, 8184], [2195, 9883], [5366, 7071], [10088, 10138], [6416, 8992], [1963, 3117], [7622, 8043], [1381, 10309], [5462, 10162], [668, 8158], [372, 468], [4921, 6805], [526, 10734], [5414, 10121], [2647, 7132], [4768, 9192], [3538, 4859], [7843, 9301], [2726, 8364], [773, 1162], [419, 664], [2101, 8312], [3324, 9222], [2751, 2944], [10844, 11181], [4001, 8683], [9513, 10149], [4553, 6944], [857, 7656], [1839, 6999], [70, 9528], [4531, 8848], [1881, 10608], [76, 10474], [6984, 7705], [4275, 8104], [6073, 11231], [135, 11054], [4361, 7124], [1566, 2087], [7011, 8747], [8305, 9897], [8086, 9035], [190, 7728], [4230, 7580], [3698, 7719], [1645, 9735], [52, 7794], [2138, 7389], [5875, 6678], [3167, 5050], [5309, 7987], [3261, 11101], [3669, 6200], [4280, 10326], [7306, 9045], [10069, 10380], [3228, 8709], [293, 7856], [2972, 4582], [9019, 9590], [758, 9124], [207, 11465], [8331, 8435], [3381, 5918], [1751, 10511], [1684, 2873], [4400, 9280], [8254, 9908], [4850, 9516], [590, 1030], [6379, 7500], [3201, 9141], [6045, 8378], [1580, 5152], [1428, 7764], [51, 9797], [2485, 6692], [2702, 8612], [2480, 9731], [1666, 6774], [3968, 5462], [4224, 9589], [3262, 6734], [2503, 8402], [4810, 9686], [8604, 10263], [6990, 8943], [5517, 7104], [9059, 10843], [2070, 2104], [2345, 4029], [757, 2432], [5447, 9748], [4798, 11554], [7597, 10294], [935, 6676], [6855, 9657], [1241, 7914], [7808, 11268], [5356, 6597], [657, 1447], [7912, 8585], [3454, 8782], [6004, 7572], [4861, 5837], [6941, 7896], [7063, 7327], [4881, 7243], [7155, 10299], [5622, 8409], [147, 9454], [10785, 11219], [1368, 10291], [2108, 3685], [2328, 5903], [7837, 10104], [6531, 6685], [2021, 10856], [8704, 9689], [5870, 11140], [4029, 11349], [1737, 11097], [10670, 10680], [9605, 10356], [1505, 5112], [53, 2622], [47, 9223], [3094, 10317], [7884, 9169], [3288, 11314], [1793, 5744], [4559, 11514], [5526, 8297], [8162, 8359], [3613, 6186], [4712, 5340], [1196, 4707], [6977, 7152], [910, 10537], [8090, 10176], [4712, 8723], [2959, 4615], [1025, 2381], [4930, 10114], [5140, 7480], [3389, 4199], [155, 1744], [2894, 3439], [5700, 6356], [1925, 9993], [63, 9325], [3205, 5021], [5541, 11207], [2422, 4383], [2616, 11042], [2544, 3060], [873, 1960], [1554, 10989], [1088, 3080], [463, 3028], [4702, 10637], [481, 7771], [5847, 6002], [978, 8577], [24, 9747], [4286, 6228], [9573, 11548], [4346, 6279], [951, 9383], [5030, 6911], [3815, 10026], [5372, 10058], [4025, 6638], [1203, 10358], [107, 2053], [5024, 8594], [4222, 7906], [9258, 9443], [10937, 11158], [326, 7052], [35, 3870], [3739, 7937], [1817, 2300], [972, 4194], [1032, 11415], [8537, 10060], [6231, 8220], [2236, 7387], [7442, 7615], [4333, 4889], [10649, 10876], [4670, 8446], [4828, 4868], [4735, 8841], [7865, 10192], [1056, 6524], [3568, 8240], [2898, 9923], [6742, 9109], [1582, 5816], [2761, 6427], [1603, 10076], [8184, 8602], [1541, 9198], [3258, 4227], [3161, 7300], [1012, 6602], [1695, 6632], [6994, 7051], [578, 10282], [146, 4209], [106, 11226], [1315, 9794], [4092, 7809], [7724, 9556], [1796, 10067], [3503, 7414], [7135, 9161], [7164, 8401], [8793, 9999], [5703, 8077], [6195, 8539], [7819, 9793], [1444, 9615], [716, 5678], [4771, 10726], [1531, 11489], [3794, 6839], [965, 2218], [7539, 10907], [4725, 7348], [3572, 11341], [8433, 11534], [553, 4344], [5563, 7666], [2972, 6623], [7118, 11035], [9110, 10995], [617, 5268], [6592, 8710], [10719, 11190], [1856, 10848], [3535, 5393], [6233, 7087], [3874, 5613], [6541, 11404], [200, 9302], [3376, 10998], [2929, 10309], [8233, 11072], [1251, 11448], [3517, 10479], [9041, 9296], [1283, 1537], [474, 5340], [1630, 11444], [3045, 5007], [4357, 10870], [5828, 6220], [2748, 4232], [6128, 9141], [4113, 7477], [4359, 4500], [2609, 10489], [3540, 8369], [4572, 5547], [1650, 5653], [1426, 3693], [1548, 5376], [2632, 2744], [2511, 11085], [1267, 9298], [8108, 10969], [3939, 9017], [7991, 10384], [5093, 7878], [2235, 9689], [979, 5633], [3103, 7964], [9034, 11134], [701, 3410], [7490, 9055], [2657, 7877], [7359, 10292], [2125, 3852], [2560, 10196], [5428, 7575], [9354, 9769], [3623, 7441], [3492, 7924], [2877, 9314], [2650, 10089], [2718, 8503], [1562, 1645], [4552, 7123], [2339, 11136], [5259, 8705], [7778, 8182], [5566, 9387], [2548, 9031], [6529, 9434], [190, 8159], [4689, 6081], [2447, 5192], [3486, 4295], [2132, 3868], [9366, 10129], [2518, 7287], [7430, 11232], [5785, 8347], [6313, 10718], [952, 9421], [3257, 7626], [3406, 11132], [2477, 4253], [3729, 10065], [3667, 9187], [3836, 10716], [9469, 10257], [8450, 11032], [6077, 11380], [1373, 1722], [6641, 6992], [9411, 9498], [2090, 3992], [999, 9617], [3299, 3314], [5394, 10569], [5024, 5374], [848, 8667], [7527, 10010], [4617, 10877], [775, 6876], [2359, 5321], [1030, 11532], [1618, 5286], [2640, 8946], [1476, 7862], [4220, 9901], [1577, 2252], [4193, 4291], [2164, 9367], [7761, 9251], [2969, 3156], [483, 10208], [7694, 10658], [1715, 10480], [10999, 11044], [2649, 11287], [3710, 7705], [1026, 6471], [6129, 9984], [5487, 6545], [1249, 8206], [8157, 9601], [2964, 9578], [7883, 10530], [1221, 3906], [3322, 7596], [5784, 5785], [1992, 9418], [2448, 7971], [3115, 6714], [6900, 9457], [2447, 9998], [7557, 8266], [422, 1230], [5817, 8527], [1988, 8895], [5503, 10057], [101, 6507], [8321, 9601], [4224, 9215], [8042, 10186], [726, 11440], [609, 4439], [3749, 6478], [6739, 11202], [5705, 6781], [6398, 10909], [8943, 9355], [390, 3577], [1107, 8099], [4555, 8039], [793, 3967], [125, 7251], [1152, 10501], [6754, 9231], [601, 764], [2146, 5697], [2438, 9481], [2736, 6694], [57, 5804], [239, 5286], [1176, 5610], [331, 8258], [5979, 8831], [1485, 7119], [5318, 6870], [1481, 9629], [987, 6842], [118, 4178], [6207, 10940], [4340, 9174], [1642, 1818], [1392, 1643], [3532, 3753], [5115, 5760], [292, 4516], [1690, 3737], [10294, 10958], [4900, 11433], [576, 7658], [1372, 8531], [2313, 7099], [3594, 11397], [9467, 10398], [2807, 4601], [1252, 11031], [192, 11051], [1237, 2829], [3482, 9651], [4887, 10043], [1021, 7900], [2676, 11473], [7070, 9571], [6805, 7610], [3169, 8373], [3320, 8542], [8340, 9546], [2509, 9266], [1791, 6771], [3759, 8589], [9948, 10297], [1515, 5375], [2005, 4256], [474, 3193], [2978, 11407], [6889, 6907], [6892, 10588], [4213, 9698], [639, 11339], [3273, 8322], [7533, 9638], [723, 3116], [9030, 9619], [4052, 5808], [1247, 5745], [2086, 4036], [7524, 9525], [2266, 2691], [2353, 10981], [2860, 6059], [4904, 6209], [2484, 7465], [5006, 10623], [5658, 8334], [1324, 3871], [1824, 8358], [4747, 5444], [6366, 7108], [6486, 7210], [3194, 5531], [1102, 1957], [4147, 7142], [234, 2901], [3460, 10376], [5079, 11286], [5296, 9823], [96, 2213], [378, 6063], [8744, 8982], [621, 8450], [3083, 11557], [194, 6885], [5970, 8986], [213, 519], [2484, 6310], [4287, 9781], [6936, 7796], [6124, 6420], [1769, 7496], [52, 3045], [1335, 11176], [153, 10267], [5096, 9361], [4165, 5065], [4170, 6163], [6026, 8514], [398, 649], [6676, 10316], [1478, 9949], [1922, 4705], [4938, 4988], [1514, 3190], [514, 10431], [1598, 2137], [4187, 6517], [515, 11033], [5933, 9454], [5959, 10675], [7920, 9070], [7576, 9260], [4520, 5414], [5017, 6220], [8674, 10441], [2306, 10710], [563, 7290], [4086, 6061], [1304, 2040], [4555, 11235], [1812, 6388], [2531, 6075], [6163, 7822], [767, 1054], [6442, 10620], [7367, 9429], [6374, 9173], [1259, 4899], [2544, 6687], [9517, 10729], [7089, 11370], [8801, 9061], [1167, 5310], [9019, 10452], [11321, 11392], [4910, 8551], [7434, 8372], [1138, 3037], [1664, 3083], [3286, 3510], [5834, 7889], [6856, 11549], [406, 2364], [4469, 8027], [1157, 6470], [6802, 8280], [2960, 10695], [1191, 10218], [9384, 11489], [3426, 9182], [5363, 9435], [1194, 3319], [724, 11506], [339, 4525], [4110, 9814], [225, 3457], [5877, 7212], [1314, 1923], [5737, 11339], [7344, 11488], [1367, 4967], [4887, 6473], [4317, 6882], [8274, 8389], [119, 9073], [1669, 8688], [2820, 8032], [853, 9068], [9139, 10530], [8074, 10960], [168, 8965], [385, 7502], [6334, 11221], [8837, 10165], [1172, 4849], [2870, 4362], [793, 1820], [7636, 7701], [5332, 5934], [8685, 9020], [1183, 11050], [6811, 10220], [7413, 8568], [4360, 9157], [5623, 8742], [34, 8719], [368, 1425], [989, 4741], [7114, 11160], [2990, 11580], [5688, 6104], [4000, 7309], [87, 9484], [1541, 8637], [5648, 7459], [1047, 5096], [2415, 2977], [3913, 8064], [3841, 6498], [1081, 3926], [1886, 2633], [6177, 6268], [3995, 10348], [2350, 7463], [638, 3356], [4648, 10913], [7852, 8241], [5644, 6936], [4462, 6027], [3679, 4635], [2715, 5117], [778, 2612], [10, 7170], [6952, 9647], [3495, 6211], [2376, 9034], [5984, 6223], [1094, 10927], [3797, 9959], [1586, 11389], [494, 574], [4364, 11504], [5450, 6289], [4383, 9302], [7339, 9534], [2086, 3044], [5697, 10330], [6471, 9724], [3970, 4410], [1019, 5276], [2357, 10862], [2691, 3568], [2322, 7643], [4619, 8239], [1534, 4409], [5589, 9457], [4840, 6895], [2500, 9635], [5982, 9159], [3366, 5585], [6392, 10720], [3618, 9970], [3329, 9867], [1252, 8079], [1470, 9470], [1621, 6633], [9644, 9967], [1340, 7145], [903, 4138], [3200, 4734], [10734, 11287], [6713, 11485], [2869, 5129], [6348, 6634], [4479, 8959], [217, 6816], [426, 10373], [5467, 5838], [235, 4389], [6021, 7178], [1509, 8270], [4652, 9826], [9566, 10434], [1070, 5190], [3902, 8574], [6026, 10905], [2289, 4446], [3497, 4324], [1317, 5067], [1757, 5339], [532, 7766], [3969, 7517], [5860, 6671], [2899, 6849], [1039, 2844], [1792, 7777], [2926, 4508], [2994, 9338], [6253, 6373], [4860, 10879], [316, 9050], [4815, 10355], [9202, 11446], [8835, 9932], [9733, 11082], [1634, 3030], [2289, 6674], [1945, 6864], [5250, 11414], [986, 1274], [2820, 11228], [2373, 3369], [1075, 11145], [6742, 9516], [1107, 9148], [8576, 8890], [5481, 5870], [686, 1012], [298, 11453], [6492, 9341], [1203, 9610], [5799, 10875], [2871, 10412], [3616, 4904], [1591, 2552], [4271, 6296], [4759, 9268], [2173, 8569], [6322, 6836], [4973, 7507], [2791, 4417], [1832, 5243], [2042, 2609], [837, 10576], [3160, 5977], [521, 5617], [6579, 10814], [3571, 11146], [4063, 10854], [8566, 10430], [6958, 10810], [726, 5268], [354, 9826], [4905, 6410], [2845, 11419], [952, 11438], [6544, 10978], [5171, 10501], [5260, 9792], [2491, 10140], [4791, 8001], [190, 5638], [1804, 2794], [10024, 10052], [2056, 7179], [5569, 7514], [1307, 5371], [4015, 11163], [1672, 3806], [3232, 4109], [10976, 11438], [1432, 4319], [1112, 1897], [649, 675], [2706, 7446], [1698, 8410], [180, 1136], [618, 11161], [4438, 6543], [10535, 10914], [6087, 9547], [2418, 7918], [2974, 3669], [7393, 9179], [5297, 8115], [2439, 5762], [291, 8672], [2738, 5829], [1525, 3355], [38, 4062], [11077, 11089], [189, 8395], [8881, 11299], [3156, 11415], [4137, 8658], [2211, 3279], [1746, 7646], [368, 2661], [6417, 8496], [2737, 3325], [1799, 5028], [2079, 7297], [3887, 11112], [5504, 5533], [5378, 7114], [4282, 5225], [4533, 9008], [7585, 8194], [75, 2789], [3010, 7806], [7428, 10462], [2139, 8479], [5623, 10328], [1358, 1498], [4317, 7663], [8453, 11387], [2321, 3797], [2782, 9110], [2412, 3161], [41, 6588], [886, 2442], [383, 10489], [1723, 5568], [482, 1046], [3147, 6764], [2191, 11271], [5202, 10456], [3459, 11200], [8039, 8522], [3123, 4835], [6069, 7008], [1616, 7549], [1036, 4988], [3760, 4897], [1743, 7324], [3303, 6873], [8679, 9232], [5620, 8875], [1737, 5974], [9600, 11305], [319, 2344], [9477, 10151], [4000, 11123], [3007, 6703], [6372, 10550], [2719, 9454], [3676, 5549], [751, 1220], [7287, 9425], [4028, 10138], [3376, 5257], [7603, 11351], [8138, 8477], [1507, 3418], [6225, 6366], [2898, 8638], [876, 3551], [7061, 10021], [5297, 9888], [3215, 7002], [552, 10809], [4705, 5812], [594, 8002], [6528, 10689], [3162, 6617], [8335, 10869], [7528, 9083], [2147, 9763], [2732, 10416], [707, 8064], [3446, 9759], [3504, 8983], [1384, 7525], [852, 10670], [4312, 4955], [2099, 9722], [4962, 6757], [8471, 9602], [6141, 7368], [850, 10974], [4238, 5945], [1223, 9270], [1345, 4537], [841, 6724], [8098, 10525], [7788, 9545], [997, 7237], [35, 2130], [527, 1838], [4105, 9738], [6195, 10987], [8086, 10141], [1579, 3428], [715, 5272], [6131, 8528], [6904, 9232], [3268, 3579], [10143, 10496], [929, 9173], [746, 10220], [5725, 11223], [739, 9049], [3748, 5155], [3691, 4621], [6337, 9535], [1201, 10800], [1387, 10024], [10535, 10727], [3720, 3861], [397, 9285], [180, 10748], [1471, 5965], [7047, 11388], [1362, 5241], [108, 2766], [1878, 10261], [2998, 10292], [9792, 9865], [5926, 7722], [2600, 7213], [4675, 8928], [1822, 10329], [2747, 9892], [1756, 5545], [5424, 9955], [381, 11411], [7258, 8575], [2437, 8912], [10090, 10461], [5391, 7563], [2275, 10082], [6858, 8833], [936, 5025], [1352, 11319], [2641, 5709], [7103, 8637], [439, 7602], [8037, 9444], [4720, 8297], [7898, 10039], [7736, 11209], [895, 9538], [9950, 10050], [6118, 6737], [868, 10344], [2019, 9688], [2795, 9909], [5257, 8098], [1446, 9826], [5338, 7528], [2163, 2270], [2595, 2681], [3630, 10710], [4086, 10761], [160, 2151], [393, 4574], [418, 5570], [1168, 4570], [4888, 9170], [8905, 11482], [4449, 5336], [1682, 2347], [5119, 8514], [1595, 3102], [2020, 8758], [535, 3876], [1769, 4975], [1868, 9118], [536, 10894], [3453, 10417], [9086, 9958], [3723, 5582], [390, 3902], [3667, 7902], [2788, 4550], [2736, 8524], [4229, 6851], [2450, 7938], [2080, 2743], [1171, 7096], [4285, 10166], [885, 7264], [8603, 9208], [3441, 9252], [4318, 9525], [8886, 9496], [4778, 10449], [5201, 6610], [963, 9025], [5295, 6245], [3835, 6523], [1412, 9760], [3293, 8226], [1462, 2707], [1153, 5335], [5470, 7185], [9026, 9102], [1278, 10699], [2641, 7482], [3611, 10952], [6381, 7042], [5228, 11035], [2632, 3232], [4600, 5050], [245, 6126], [3755, 6944], [3915, 4947], [4506, 11050], [8052, 8115], [143, 9232], [9789, 10185], [6697, 10846], [811, 10859], [293, 9930], [6297, 7694], [7565, 7623], [3714, 10676], [8134, 9995], [4865, 5856], [3521, 6871], [3961, 10553], [553, 2872], [286, 5726], [2280, 2349], [4790, 9654], [3389, 7883], [3893, 9860], [5041, 10404], [5561, 6498], [3536, 4146], [1517, 2740], [5816, 10400], [3378, 6189], [2628, 5691], [5783, 8762], [3068, 5209], [4260, 7560], [6300, 10220], [4469, 11117], [3026, 5737], [2348, 6051], [544, 3109], [11242, 11341], [198, 2472], [4218, 10717], [5113, 5934], [2406, 9412], [5073, 8787], [160, 9535], [807, 6902], [7379, 9846], [1397, 3735], [6505, 6838], [1591, 6984], [3738, 3849], [32, 3119], [350, 2462], [6012, 6905], [8940, 10751], [6223, 11289], [1146, 3335], [2300, 8612], [5106, 5113], [3454, 7473], [648, 9474], [2270, 9901], [3827, 10687], [3109, 8192], [2044, 7868], [1731, 3207], [2070, 2673], [2233, 4357], [8671, 9021], [1350, 9931], [1023, 1400], [1267, 8176], [7418, 9400], [7017, 9056], [766, 3464], [1798, 7812], [3379, 8992], [5471, 6150], [4024, 9696], [2317, 5933], [7239, 10566], [763, 3166], [286, 10182], [5740, 7506], [2877, 4809], [3376, 5688], [2104, 8269], [4898, 9671], [8005, 9318], [1186, 4962], [4298, 9117], [2245, 4717], [2052, 10738], [4729, 5139], [8839, 9894], [310, 8674], [8712, 11250], [3641, 6494], [546, 3474], [4759, 9862], [55, 10784], [308, 4814], [8613, 10490], [7147, 9822], [1039, 7544], [7494, 7651], [5247, 6418], [3884, 9635], [3160, 3188], [894, 7540], [8002, 11275], [7071, 7733], [3210, 5934], [784, 3238], [2747, 4712], [109, 10239], [5892, 7095], [2062, 4609], [659, 7673], [4275, 9641], [5134, 5201], [4576, 6371], [283, 8325], [1250, 5862], [3056, 8850], [3020, 6941], [7696, 10387], [4423, 8758], [457, 7165], [3325, 10960], [1993, 6320], [6186, 7168], [3166, 5985], [8812, 9895], [1579, 7242], [6379, 10192], [3418, 10370], [4973, 10329], [765, 2033], [450, 2961], [4837, 10468], [179, 8325], [3417, 10899], [210, 7638], [10443, 11569], [2105, 9917], [383, 5122], [2870, 9225], [4181, 5818], [4515, 4940], [2193, 2567], [6322, 11536], [3175, 6074], [904, 1037], [1627, 7259], [6222, 11305], [9125, 11122], [2324, 7372], [4328, 8847], [8552, 11260], [5782, 8000], [4973, 6141], [458, 9214], [3080, 9570], [250, 2849], [4415, 11475], [2259, 6196], [2441, 5678], [794, 8382], [3039, 6536], [1384, 2963], [4508, 10885], [10886, 11334], [3374, 8512], [10313, 11472], [234, 811], [4130, 11464], [1873, 9543], [6735, 9207], [5861, 6199], [71, 8926], [7540, 7914], [661, 9923], [729, 1921], [10343, 10533], [4391, 5762], [129, 2865], [4102, 5659], [1218, 1331], [1658, 8019], [153, 1761], [7353, 8438], [5703, 5963], [8738, 9706], [1398, 6402], [3514, 8872], [927, 10200], [7644, 7863], [1928, 6567], [10109, 10487], [3357, 7353], [3751, 11444], [368, 5483], [9915, 10621], [139, 3933], [1443, 5771], [1582, 9313], [8056, 9470], [10508, 11135], [1414, 10668], [7207, 8212], [4903, 6445], [1008, 3564], [1190, 4544], [5605, 7683], [517, 5956], [2963, 10058], [3087, 5398], [2371, 5982], [4014, 5788], [1567, 8631], [2403, 2487], [5164, 7159], [41, 6377], [3582, 8760], [9115, 11103], [7969, 9851], [8318, 10759], [4956, 9839], [5505, 10835], [4578, 4783], [7445, 10605], [3671, 11434], [5943, 7247], [704, 11043], [4250, 7354], [989, 1578], [5904, 11456], [2007, 6994], [1262, 6840], [845, 7491], [4021, 5023], [5027, 7396], [1404, 2759], [5483, 8201], [4526, 9854], [8703, 9415], [9682, 9995], [4828, 9438], [6085, 9932], [4239, 9797], [8525, 10082], [4079, 5378], [2556, 4176], [7006, 9753], [2323, 5136], [9409, 10745], [1773, 11085], [1678, 7061], [1676, 11152], [2636, 6764], [1361, 5664], [7183, 8110], [457, 10361], [3858, 10455], [1365, 5783], [2470, 4782], [3978, 8305], [2507, 7293], [10975, 11243], [3408, 8714], [7921, 8224], [1357, 5141], [7678, 9220], [1172, 9525], [5079, 6781], [2286, 8987], [5328, 9737], [2255, 3258], [5457, 6175], [2566, 11256], [7604, 9456], [94, 1799], [6630, 9250], [6239, 9594], [778, 1677], [2410, 3546], [1808, 5198], [4760, 7940], [2241, 8463], [5073, 6185], [3541, 7149], [1326, 2421], [3734, 10173], [2480, 7698], [7898, 10283], [3569, 6164], [5938, 8326], [8608, 11382], [482, 753], [6459, 7274], [2290, 5322], [2018, 7078], [4686, 5143], [6145, 8804], [4634, 9117], [489, 1143], [5279, 6411], [83, 455], [1476, 5748], [4867, 11570], [5178, 8988], [3994, 11416], [4121, 7027], [5084, 6320], [7453, 9236], [2902, 6236], [10348, 10690], [1771, 1882], [5074, 11267], [1836, 6441], [91, 6358], [4948, 6432], [1491, 2242], [1370, 10583], [8027, 10447], [5539, 11037], [2079, 3166], [3234, 9045], [8947, 10043], [6366, 10442], [1486, 2248], [77, 2114], [1479, 5241], [415, 8525], [9167, 11480], [7074, 8435], [7698, 8262], [4981, 11052], [1311, 5815], [4370, 6926], [2343, 10163], [4862, 7388], [11111, 11399], [7281, 8913], [4459, 6217], [1967, 10815], [6532, 11269], [312, 7996], [5921, 9395], [3856, 7644], [4883, 5232], [7995, 10885], [1372, 10605], [7509, 7959], [954, 1986], [563, 2330], [10229, 11132], [3192, 5385], [2323, 2721], [2976, 3286], [3757, 3851], [78, 7950], [2163, 3937], [2259, 10815], [1108, 2803], [2563, 11226], [894, 3783], [3473, 7475], [6262, 8533], [9560, 11158], [945, 4502], [3780, 5905], [2627, 5734], [4795, 7640], [3239, 4046], [6635, 10212], [6237, 7133], [7603, 10603], [2521, 11350], [441, 2875], [2180, 11057], [2271, 11175], [4107, 4206], [745, 3286], [440, 9820], [67, 190], [7212, 9442], [2945, 3949], [3364, 9760], [1513, 2865], [6373, 8872], [1394, 1453], [5416, 10525], [1015, 4086], [9234, 9244], [8401, 8489], [1988, 11237], [302, 6099], [4192, 9390], [296, 2120], [1856, 6587], [1880, 11145], [1285, 2634], [704, 7018], [3771, 9518], [944, 6478], [2690, 9415], [389, 4913], [2003, 6233], [8842, 11241], [2803, 3842], [3828, 7019], [4542, 6362], [6756, 10865], [4075, 6896], [2115, 9857], [6941, 9864], [3149, 3698], [4135, 5449], [1513, 5093], [4348, 6496], [2732, 8513], [717, 1187], [343, 11334], [6595, 10358], [3228, 5684], [8479, 9095], [4000, 8415], [2415, 4083], [2657, 10032], [3162, 8447], [1195, 3067], [2841, 8806], [11054, 11483], [975, 4986], [2747, 9144], [7819, 10338], [627, 3522], [3211, 7558], [6700, 7499], [4040, 10823], [1956, 11274], [3924, 6676], [4643, 5609], [6446, 9080], [3917, 5505], [990, 10929], [558, 9020], [7097, 7320], [5696, 7801], [6440, 8484], [2910, 9673], [42, 5878], [6891, 11574], [2562, 5957], [175, 2435], [5330, 5384], [6918, 7735], [4431, 7015], [785, 6336], [7046, 10364], [4840, 4968], [1910, 4459], [3429, 11177], [4365, 6395], [1347, 6039], [2930, 7292], [4048, 4244], [3394, 5706], [1116, 2908], [5386, 5666], [310, 11146], [6036, 6714], [7751, 10338], [3643, 9793], [6965, 7150], [4625, 9890], [6249, 11144], [11106, 11218], [8360, 9106], [8246, 11448], [5586, 8356], [6747, 9142], [765, 2277], [9111, 10960], [2478, 2822], [728, 2395], [669, 5198], [1565, 6275], [732, 9684], [381, 8703], [3880, 11584], [569, 11383], [8222, 8768], [4526, 9480], [2933, 6785], [1221, 2678], [995, 7061], [3486, 4490], [4324, 5589], [2452, 3479], [13, 6183], [10837, 11336], [679, 8518], [5075, 7443], [4677, 6616], [6129, 9106], [6202, 7110], [4315, 11138], [4046, 5995], [1620, 3299], [4760, 5338], [4142, 6457], [6994, 11247], [452, 9643], [56, 9643], [2508, 7144], [735, 5013], [5654, 5965], [539, 1691], [826, 5131], [576, 10618], [7360, 9503], [7293, 8281], [2061, 2668], [7704, 10067], [1164, 4372], [6492, 10447], [9382, 11557], [380, 9925], [2565, 8028], [5679, 11098], [595, 5383], [3735, 7422], [1068, 1631], [7325, 10421], [6604, 7655], [6320, 7896], [833, 1764], [1431, 9038], [533, 1472], [345, 8591], [6795, 10606], [252, 5394], [6230, 8353], [4568, 10779], [1341, 9495], [3258, 7618], [1295, 2734], [584, 7826], [4381, 7920], [4723, 11067], [2832, 5497], [1167, 1236], [985, 5137], [18, 6102], [4185, 7227], [5714, 9375], [3560, 4923], [3661, 5729], [2778, 11303], [3182, 11164], [5142, 6705], [5852, 8558], [563, 2411], [2710, 5692], [7140, 9863], [1805, 7535], [3114, 10471], [4308, 6479], [5602, 7629], [728, 4168], [1221, 7484], [1830, 2869], [4773, 7747], [9532, 10696], [2116, 8336], [1653, 7114], [6775, 7671], [4352, 10908], [7225, 8631], [155, 492], [1674, 4958], [2942, 4887], [581, 9002], [2828, 7983], [3129, 11129], [1704, 6298], [1195, 1725], [1822, 8239], [2505, 8269], [2071, 11195], [2787, 4949], [2031, 5380], [7421, 8169], [816, 2079], [1005, 4984], [2316, 8747], [3589, 9020], [659, 4347], [2966, 9795], [192, 5635], [2284, 2793], [5451, 6655], [4360, 8116], [4246, 11212], [3114, 9666], [4850, 5499], [1806, 3168], [1064, 8947], [5317, 7594], [5762, 8210], [5125, 10807], [8459, 8925], [2418, 7869], [3569, 7213], [1327, 6324], [9119, 11415], [6129, 6691], [6039, 10181], [6779, 7739], [1667, 7146], [491, 9435], [150, 2726], [3262, 9133], [4009, 4452], [5471, 7630], [6553, 9089], [727, 11405], [758, 10718], [233, 7864], [4898, 11151], [2322, 11140], [5273, 10274], [3903, 10068], [9567, 11174], [7096, 8735], [778, 8337], [5924, 8514], [4740, 6778], [605, 10072], [4614, 8359], [4977, 5967], [37, 4892], [211, 6011], [5171, 6964], [6193, 6460], [1430, 10185], [1552, 11114], [10086, 10426], [4267, 7497], [3271, 3560], [2028, 11043], [1982, 4282], [7088, 11476], [3165, 8045], [2919, 4606], [9861, 11247], [3228, 6115], [5874, 11029], [1447, 4123], [7772, 10573], [1826, 4119], [5764, 10110], [3785, 8103], [2291, 5387], [8258, 11220], [1094, 2665], [2810, 6891], [2954, 10053], [588, 7408], [10011, 10790], [4670, 8617], [6977, 9901], [1050, 2743], [3947, 7276], [9828, 11083], [934, 5012], [8365, 10686], [60, 2004], [2353, 11526], [3640, 4315], [3165, 7240], [3538, 4038], [6019, 6441], [3293, 9869], [6536, 8623], [1631, 5879], [1080, 8220], [584, 11022], [7547, 11370], [6526, 11318], [4647, 8791], [7143, 10728], [2126, 2825], [2279, 3067], [355, 1521], [1809, 4838], [3020, 10649], [2366, 5695], [9248, 10750], [8090, 8737], [3542, 9418], [4939, 8037], [271, 4452], [8305, 9076], [4468, 5419], [1013, 9226], [5997, 10573], [4006, 11215], [7514, 11206], [3871, 4382], [5268, 7165], [1633, 10782], [420, 8308], [6519, 9342], [6641, 8773], [4116, 5317], [8221, 9728], [219, 855], [6624, 10297], [2049, 2739], [283, 8195], [2005, 6574], [6529, 7027], [9, 9878], [5011, 6169], [3055, 5866], [6134, 9881], [268, 10546], [3162, 9146], [746, 7138], [990, 9750], [7683, 9271], [1864, 4090], [2296, 9382], [3659, 6919], [1293, 10690], [6671, 8958], [3372, 6862], [882, 5871], [3991, 8597], [9510, 11234], [11177, 11434], [2406, 9900], [494, 9145], [2925, 5769], [2085, 8007], [660, 3930], [10980, 11270], [3917, 6554], [4481, 8582], [674, 1384], [6659, 11176], [2363, 3787], [5004, 8357], [814, 7780], [2421, 7175], [6636, 10226], [5908, 6289], [8425, 9103], [5257, 11432], [2456, 3197], [4257, 10005], [5769, 6884], [3110, 11534], [4132, 8778], [2609, 6822], [6149, 9734], [6460, 7152], [1909, 4906], [9911, 10773], [503, 8453], [8505, 10910], [2182, 10168], [6490, 9246], [7971, 10222], [564, 5696], [3996, 11519], [3137, 8819], [5053, 10447], [2015, 2299], [1340, 9300], [1054, 6462], [2709, 3619], [1117, 4532], [626, 6924], [10328, 11219], [49, 10326], [1446, 5939], [2426, 10097], [801, 2202], [9629, 9905], [1262, 7515], [5247, 10289], [1252, 6046], [8258, 10228], [10276, 11409], [11148, 11338], [3926, 5811], [7845, 10998], [9405, 11301], [3452, 9338], [8032, 10824], [121, 4321], [714, 11251], [3615, 4606], [432, 5903], [6197, 7815], [564, 1858], [6030, 9395], [1807, 4174], [4448, 7963], [3132, 3856], [117, 7181], [7333, 8729], [5153, 9472], [3133, 5212], [1474, 6401], [5531, 5860], [5615, 11223], [5269, 10586], [2375, 5570], [3751, 7476], [1825, 4349], [5304, 5854], [5705, 6952], [1130, 3558], [603, 11211], [7571, 7739], [5694, 6039], [467, 770], [3119, 9636], [7560, 7580], [1336, 6817], [246, 8880], [3988, 9267], [8561, 8828], [4423, 8441], [332, 1484], [4315, 4966], [5665, 7903], [3131, 3230], [4758, 8919], [1360, 1926], [5260, 10069], [3634, 11398], [3567, 10176], [360, 499], [108, 5913], [9947, 10671], [4343, 9616], [5437, 7672], [3787, 5197], [4313, 10905], [3537, 4268], [1259, 8640], [2000, 11304], [4865, 5002], [2414, 10355], [6170, 8196], [10598, 11540], [1599, 7927], [971, 8358], [5570, 9894], [4675, 6009], [2923, 11171], [5082, 10305], [3363, 9191], [3886, 11218], [7936, 9506], [346, 5273], [5163, 5948], [1481, 5612], [2396, 9375], [2107, 2856], [1666, 4611], [10361, 11196], [8145, 10030], [2443, 7686], [49, 7911], [5873, 11184], [4719, 10788], [6142, 8376], [8547, 10949], [139, 1388], [3942, 11096], [5838, 11348], [9961, 10703], [2963, 10546], [721, 9657], [5891, 7976], [5545, 7339], [5483, 6461], [1407, 6952], [2993, 6224], [6630, 8315], [10652, 10971], [6528, 8038], [1392, 2887], [9620, 10760], [2419, 9520], [395, 10776], [1923, 5906], [4342, 7431], [7396, 10450], [4434, 10403], [8895, 9723], [1191, 5233], [8205, 9276], [3532, 5347], [4030, 9007], [3068, 3900], [363, 8205], [7070, 10815], [5389, 6021], [1347, 6096], [4853, 5260], [288, 9724], [3144, 11250], [6855, 10072], [1771, 7363], [2146, 6486], [3543, 9269], [4107, 11297], [6543, 8265], [4692, 7786], [8936, 9323], [5130, 11395], [6336, 10446], [991, 10783], [1070, 2970], [3033, 4444], [3315, 3376], [3256, 6179], [1862, 7077], [135, 1938], [926, 3191], [2548, 10788], [9764, 11582], [4119, 8274], [2880, 6831], [1970, 4166], [3972, 4814], [4772, 9593], [7328, 11581], [3027, 3094], [9255, 10392], [8818, 10391], [5020, 5908], [8499, 11577], [3301, 5548], [1969, 7324], [345, 6070], [3016, 5564], [254, 2919], [1527, 10362], [2642, 9295], [2181, 2484], [3170, 5250], [3980, 10717], [9587, 9791], [2367, 10753], [2608, 7432], [217, 7174], [1425, 7052], [3438, 7135], [4377, 11292], [7744, 10304], [3480, 10744], [6049, 9584], [5245, 7315], [1033, 2283], [3498, 4907], [180, 10675], [9160, 9350], [982, 5701], [6579, 9749], [6075, 7772], [4299, 6124], [2941, 7433], [4467, 8152], [1724, 9721], [7297, 9211], [881, 1862], [437, 4100], [1901, 8859], [816, 10512], [9434, 11023], [8842, 11111], [5454, 5560], [1371, 9044], [34, 6312], [5354, 7608], [1517, 8115], [9865, 11209], [5446, 10580], [8436, 9642], [4573, 11180], [3317, 11288], [7093, 11259], [1026, 8228], [1518, 8690], [3474, 8993], [5621, 5858], [7825, 10427], [1825, 8618], [5749, 8487], [7299, 8102], [10318, 11312], [982, 11312], [3718, 6320], [2376, 3244], [4922, 10960], [1063, 3572], [3588, 10411], [7237, 9853], [872, 9639], [1629, 5646], [818, 6370], [3397, 10062], [5103, 9436], [590, 1258], [3568, 4467], [1836, 9507], [3942, 6371], [112, 3885], [9239, 10881], [4628, 7830], [5712, 8204], [2699, 5186], [3454, 6782], [5904, 8374], [302, 976], [2101, 9963], [764, 5733], [2512, 3081], [6768, 6907], [2012, 7639], [675, 9825], [5334, 9160], [6297, 11459], [3563, 7856], [4527, 6593], [2158, 4431], [3672, 7799], [661, 2198], [3897, 10361], [4012, 10873], [3339, 5869], [8442, 8628], [2835, 3892], [5604, 6927], [1022, 8778], [1, 6474], [10479, 10990], [7029, 8725], [6877, 10583], [396, 2839], [4317, 5443], [5507, 10377], [4509, 5613], [4837, 10582], [890, 3347], [2220, 4154], [5342, 8997], [6990, 11399], [3781, 11475], [8201, 10794], [5859, 7045], [9092, 9275], [790, 6526], [255, 5990], [6829, 7509], [9315, 11010], [1402, 7844], [6331, 9484], [9846, 10646], [197, 9395], [3306, 5705], [9601, 10815], [374, 4369], [1926, 4057], [1010, 7963], [3426, 3555], [1335, 10005], [6875, 7103], [9063, 10385], [369, 7408], [1615, 9241], [7988, 9346], [684, 5699], [1950, 11217], [7526, 7972], [4405, 6737], [3350, 11265], [577, 5078], [7030, 10774], [487, 2152], [666, 3615], [2456, 6824], [10064, 10882], [4059, 9483], [764, 10539], [2106, 6445], [6736, 9546], [1980, 10278], [263, 5827], [426, 7511], [5674, 7241], [477, 7476], [43, 11156], [6755, 10727], [2555, 3046], [7503, 8900], [7974, 8485], [3311, 5244], [6449, 10620], [2342, 5382], [4238, 4880], [6872, 8279], [1280, 2323], [6161, 6955], [6663, 8105], [1435, 9781], [2144, 8026], [3073, 4325], [1982, 3534], [4108, 5938], [3411, 10736], [3049, 9566], [8044, 8850], [540, 10807], [6623, 11308], [6666, 7248], [5065, 11051], [3061, 3160], [320, 5556], [7287, 9783], [4735, 7914], [26, 2076], [4240, 11318], [4925, 5005], [157, 10638], [1783, 2893], [1180, 10736], [4798, 9367], [1400, 6538], [5006, 10070], [1336, 4833], [6778, 7812], [2172, 5105], [10578, 11587], [2982, 4156], [9539, 10232], [180, 8528], [982, 3554], [8765, 10811], [1050, 5378], [7364, 8286], [5655, 10866], [6961, 7115], [514, 4617], [2754, 8843], [5868, 8907], [1718, 7005], [7896, 11530], [8954, 9929], [8104, 11479], [3894, 9526], [1946, 3422], [4403, 5431], [2276, 5054], [5741, 6853], [159, 9529], [1005, 1821], [1187, 7719], [4081, 6319], [230, 5208], [2465, 9090], [3053, 5096], [8715, 9539], [10045, 11100], [2617, 5697], [901, 10516], [8344, 11289], [3394, 8772], [4258, 11092], [9490, 10289], [8019, 9277], [7026, 10519], [894, 2929], [752, 10393], [1232, 9340], [1679, 4367], [4412, 5493], [9064, 10073], [946, 3469], [1789, 4912], [608, 7611], [4140, 5744], [4515, 4867], [3682, 4866], [913, 4460], [4464, 8285], [7656, 9760], [4392, 5965], [873, 1651], [6812, 8846], [65, 6056], [2455, 2679], [5749, 8568], [3579, 9999], [2695, 6303], [2206, 9522], [8250, 10849], [1495, 4034], [8458, 11552], [6027, 8512], [6625, 9370], [5947, 6274], [4326, 7947], [6344, 9128], [10163, 11455], [5930, 7798], [6611, 10411], [3006, 10487], [3973, 7270], [955, 6914], [4255, 6202], [574, 806], [4299, 5750], [3705, 11427], [1222, 1781], [1309, 4409], [596, 8674], [5394, 10797], [5136, 5843], [9623, 11302], [4518, 6962], [3142, 3558], [660, 9598], [268, 5610], [3413, 7993], [5911, 6593], [2177, 10231], [4156, 5822], [778, 4369], [1646, 9814], [2195, 10810], [10450, 10707], [7394, 7615], [3784, 9599], [1821, 8125], [7963, 9987], [1301, 3363], [1567, 8208], [538, 3377], [8603, 9566], [6860, 10310], [795, 8860], [5053, 9349], [6020, 6886], [2813, 3625], [9060, 10973], [2258, 8476], [2351, 5257], [138, 9270], [726, 3024], [7281, 9027], [4110, 5423], [3796, 9959], [219, 4913], [967, 9502], [5039, 5105], [4817, 6978], [5465, 7199], [5685, 9417], [6068, 9155], [8518, 9993], [6723, 10547], [2630, 9179], [4221, 8795], [609, 7700], [7543, 10316], [2316, 5047], [2350, 10293], [6149, 11214], [6171, 8529], [2105, 4046], [4193, 10130], [1809, 6936], [1659, 9621], [5586, 9007], [5648, 10639], [1680, 7465], [4980, 7507], [1220, 5760], [8556, 11574], [1689, 8682], [6935, 7585], [4227, 5957], [589, 5893], [1518, 6356], [740, 9472], [6194, 7550], [516, 4102], [4843, 7394], [9708, 11493], [1771, 10185], [7430, 8695], [2581, 9236], [1917, 2840], [1972, 7465], [5836, 8781], [5593, 9023], [10257, 10954], [6119, 8315], [5248, 5578], [9126, 10764], [538, 8183], [259, 2352], [2905, 7266], [6754, 8304], [2182, 10843], [602, 9107], [191, 8075], [3367, 9771], [1655, 5664], [5295, 8026], [8994, 10995], [8030, 11477], [6469, 7539], [715, 7671], [472, 10165], [622, 1064], [6468, 8068], [4757, 6815], [4222, 10443], [4540, 9032], [2976, 11239], [6549, 10127], [6932, 9865], [1664, 2343], [858, 9827], [1138, 5680], [6898, 7248], [5905, 9244], [10318, 11556], [3193, 10126], [191, 3887], [4805, 10619], [3719, 9418], [7256, 7895], [2648, 5115], [8742, 9969], [3277, 6040], [718, 9416], [3022, 4767], [4572, 10044], [5878, 7047], [100, 4119], [6695, 7269], [1301, 2826], [2980, 4541], [2021, 5367], [123, 2790], [2571, 2801], [4625, 10809], [3730, 6924], [4838, 5440], [3695, 10121], [4409, 8710], [1138, 11291], [4053, 4352], [8261, 10396], [10165, 10509], [922, 9946], [9292, 10355], [996, 1035], [163, 1034], [1348, 5624], [4555, 8885], [5260, 10394], [6920, 7895], [2956, 8627], [3023, 3433], [3142, 5599], [5731, 9979], [1090, 10469], [4677, 7535], [4546, 8018], [4322, 9064], [497, 506], [2773, 6641], [3969, 5004], [2270, 5266], [7337, 9122], [1520, 3987], [4942, 8368], [429, 2442], [8517, 10335], [1454, 9783], [8450, 9113], [3321, 4379], [7632, 8666], [8069, 9421], [1568, 10070], [2937, 10805], [7691, 9246], [470, 938], [4611, 8012], [5612, 10041], [3458, 5589], [11023, 11455], [2337, 6087], [2646, 6842], [2400, 3403], [9316, 11075], [1529, 7082], [2181, 8957], [4077, 8455], [6971, 7055], [3550, 5528], [7371, 10180], [6342, 10267], [8176, 8887], [6808, 8754], [9901, 10947], [4543, 6915], [1731, 10599], [9418, 10978], [5712, 6838], [5629, 11499], [4944, 10642], [5371, 6545], [1637, 10183], [8509, 11167], [574, 4270], [3696, 11365], [773, 1447], [1713, 5482], [3648, 11324], [4458, 10375], [3739, 5026], [1443, 7284], [7350, 11531], [6820, 8333], [7025, 9519], [1360, 10440], [9391, 11383], [4857, 10996], [704, 2407], [2386, 7803], [1137, 5672], [2105, 8315], [890, 5014], [8739, 10639], [895, 3106], [5623, 6742], [1545, 6406], [4373, 10802], [512, 9003], [5596, 8302], [8741, 9931], [10790, 11179], [4957, 10072], [2557, 6345], [7228, 9447], [7882, 7985], [7391, 10377], [2568, 3471], [2258, 8907], [8349, 10080], [5208, 10822], [10554, 11087], [6414, 9873], [848, 5138], [9965, 10692], [4863, 10787], [2559, 2604], [6690, 8236], [2239, 3188], [1518, 7592], [5601, 8272], [6005, 8133], [4202, 8826], [2837, 8964], [6013, 6496], [2730, 10595], [1644, 2978], [5941, 7559], [5593, 10259], [2699, 5243], [946, 1135], [4505, 8985], [2889, 5340], [368, 11452], [611, 2542], [2402, 4498], [6980, 11573], [3405, 3944], [4060, 5336], [4778, 7050], [2402, 7881], [3455, 6690], [1226, 4508], [5491, 6168], [632, 10185], [1528, 10508], [630, 2942], [126, 5129], [1467, 10232], [9242, 9300], [7316, 11091], [6380, 7205], [34, 11175], [3761, 10530], [4888, 5316], [1331, 10344], [1178, 2932], [4378, 9186], [4856, 5778], [3046, 5300], [214, 1162], [3419, 10012], [1167, 2773], [5318, 7529], [203, 3255], [8107, 8587], [7026, 7730], [4281, 8472], [2409, 7116], [2907, 4360], [5152, 8930], [6761, 8371], [10338, 11165], [1900, 11561], [749, 3549], [688, 5525], [1777, 3991], [970, 2205], [1178, 5160], [3881, 4946], [7652, 10235], [394, 8461], [2259, 2984], [803, 7168], [2365, 7544], [6312, 11369], [2389, 8692], [3640, 5234], [1862, 2759], [8398, 10964], [860, 6921], [1822, 3360], [8862, 9378], [5804, 8869], [8202, 10271], [3589, 4141], [5746, 8864], [968, 7393], [231, 10510], [1902, 8200], [2189, 5224], [1129, 5998], [31, 9698], [1725, 6029], [6105, 6703], [6504, 10384], [1397, 10135], [1870, 5629], [8743, 10221], [1237, 2683], [247, 4196], [9080, 10745], [6222, 7638], [6179, 10974], [4852, 6678], [579, 3622], [3311, 10562], [3060, 6779], [547, 11254], [2600, 2822], [3749, 7755], [10562, 11542], [5082, 8833], [600, 1466], [6298, 8572], [6513, 10446], [290, 486], [8130, 10529], [5981, 10585], [66, 1532], [2593, 5034], [3830, 5650], [3838, 9675], [593, 3678], [6575, 8291], [3075, 7437], [1462, 3309], [428, 9468], [366, 1420], [622, 6301], [1143, 5249], [8483, 8553], [5566, 8249], [1547, 2858], [1137, 11096], [2921, 10353], [1085, 10906], [1398, 9151], [297, 9170], [1735, 5538], [2079, 6102], [4790, 11411], [10470, 10798], [7708, 8153], [3868, 4979], [8210, 9303], [1569, 3556], [641, 4449], [389, 2693], [284, 5151], [9633, 10274], [591, 9243], [4077, 5503], [200, 3171], [780, 5732], [467, 1071], [9286, 10166], [2273, 8977], [4365, 6135], [2706, 7324], [5178, 11119], [2243, 6102], [464, 773], [1749, 2561], [6041, 6798], [2053, 3726], [2, 153], [2266, 11189], [5500, 5693], [3170, 9121], [149, 2832], [10825, 11497], [1200, 11394], [4471, 5780], [3297, 8896], [2073, 7761], [239, 2725], [1171, 2705], [5835, 9554], [293, 9377], [3844, 6032], [4535, 10087], [361, 621], [4089, 9246], [2248, 9455], [293, 6344], [10339, 10449], [561, 7098], [4290, 5745], [683, 11410], [7598, 9812], [1561, 8875], [360, 9444], [2490, 2922], [8242, 10264], [4565, 10272], [2767, 11309], [2082, 11206], [7426, 10644], [270, 3485], [4153, 9015], [4378, 11577], [4994, 9631], [8741, 10362], [106, 8746], [4028, 7788], [4492, 5448], [3277, 9317], [4249, 6444], [2664, 10780], [5085, 6716], [4085, 5289], [4864, 11443], [67, 11420], [4652, 6834], [6013, 9960], [4358, 6387], [1032, 8130], [4426, 4801], [1002, 3003], [10176, 11343], [1899, 11098], [3365, 5350], [8175, 10516], [7560, 9654], [6777, 8262], [2599, 8476], [2229, 3281], [85, 3681], [2227, 6618], [3851, 8626], [8549, 9387], [8759, 10917], [3306, 3615], [3961, 11423], [3031, 11489], [5980, 9796], [7695, 11168], [3304, 3919], [2032, 6500], [523, 9168], [5724, 9052], [7721, 9356], [7065, 7739], [1991, 9882], [9028, 9213], [6220, 9633], [587, 3676], [6755, 6759], [5814, 8945], [5318, 10993], [1552, 6048], [4788, 7795], [3795, 9791], [5821, 9335], [2798, 7881], [210, 11273], [3047, 8585], [5339, 8837], [6569, 6754], [1858, 6505], [1328, 4061], [2699, 4869], [5706, 7318], [1547, 6054], [3967, 11187], [10665, 11052], [5094, 5973], [821, 2917], [6335, 7462], [7412, 10075], [435, 2881], [1498, 1624], [6446, 7478], [3829, 8220], [10083, 10323], [1561, 6110], [8617, 9655], [3768, 7944], [256, 10463], [2463, 8133], [1644, 11248], [3979, 8164], [9345, 9805], [2736, 6979], [993, 3559], [2460, 7835], [586, 9062], [6248, 10095], [2638, 9827], [1604, 4652], [3049, 4443], [7987, 9609], [1134, 6423], [5898, 9716], [8081, 9244], [6367, 8474], [2876, 5454], [609, 6952], [7665, 10497], [7613, 10307], [7983, 9086], [4746, 7868], [9849, 10627], [1378, 9385], [815, 7959], [166, 9765], [3619, 10049], [5611, 10009], [905, 10104], [8028, 8455], [2525, 8206], [2797, 6450], [6998, 11323], [4248, 8715], [5374, 6282], [9549, 9934], [4960, 10614], [4303, 6143], [7525, 10436], [1503, 7178], [2438, 10839], [2280, 3837], [4336, 5502], [788, 1948], [4955, 7237], [1541, 6881], [1816, 8806], [5866, 7094], [1213, 10233], [282, 6691], [2310, 8560], [1749, 10213], [2057, 8114], [1522, 5326], [4512, 10050], [310, 5706], [6469, 6791], [10113, 10807], [1204, 9366], [4975, 8239], [9823, 10479], [1481, 11337], [6713, 10534], [1137, 5111], [2009, 7292], [1890, 3628], [2659, 9094], [3942, 10055], [5721, 8968], [792, 912], [7798, 8477], [6079, 10369], [1134, 8196], [2992, 4958], [528, 5942], [655, 799], [8445, 9227], [1962, 7072], [5798, 11258], [1399, 2236], [492, 3252], [4949, 11498], [252, 7175], [252, 759], [2110, 4691], [5039, 11391], [2453, 11446], [4354, 11288], [1823, 11050], [8271, 9986], [9391, 10017], [5150, 5745], [2724, 3049], [4630, 10405], [5070, 10677], [1698, 9069], [793, 6748], [6775, 10607], [2792, 7879], [1638, 2602], [5627, 9282], [766, 5302], [1542, 5523], [133, 1225], [8201, 11095], [918, 2663], [2101, 6426], [4747, 4924], [1196, 1853], [222, 1647], [7816, 8251], [6422, 9149], [6006, 7773], [4077, 11545], [3624, 11011], [1501, 5872], [2526, 8295], [683, 5425], [6446, 10674], [1491, 3649], [5730, 11258], [25, 3735], [5410, 9590], [2757, 7669], [4575, 6510], [810, 10835], [3888, 4826], [10383, 10778], [2735, 3157], [5684, 7880], [269, 1062], [7338, 8976], [2625, 7900], [2752, 9927], [21, 179], [5272, 10006], [1693, 11303], [2567, 7895], [2195, 6037], [68, 9824], [5326, 10242], [7423, 7744], [355, 2684], [6237, 9345], [2710, 6668], [8878, 9751], [1347, 7633], [3701, 8763], [6661, 10612], [4979, 6347], [3850, 4318], [51, 1145], [3514, 9287], [829, 7828], [8492, 10065], [7738, 7913], [4221, 10088], [4223, 4499], [6705, 10510], [1479, 5843], [2091, 7161], [8816, 11101], [5115, 11469], [97, 7505], [1494, 6124], [10057, 10338], [3892, 6772], [1156, 9512], [3712, 11500], [464, 1822], [1778, 2850], [5353, 10479], [809, 9404], [3579, 5494], [9186, 10230], [332, 2834], [3981, 7194], [1558, 10431], [2926, 7558], [7435, 10332], [5041, 5639], [3062, 10078], [3098, 5571], [2731, 4057], [2884, 5053], [2973, 10006], [9788, 10456], [4062, 8472], [3594, 6152], [3652, 10294], [2532, 3847], [3240, 4873], [1385, 5376], [1218, 6202], [1221, 9883], [4297, 10217], [1685, 8297], [2994, 11233], [1836, 8466], [3916, 4109], [4979, 7770], [660, 11509], [2090, 3098], [2303, 10561], [4569, 5428], [1685, 5264], [4073, 5978], [2946, 4776], [394, 9323], [7836, 9871], [4503, 8191], [274, 2024], [5098, 5368], [1483, 7008], [4382, 10116], [2315, 7538], [7702, 10810], [6143, 9951], [4751, 5260], [3906, 7154], [8228, 10102], [2311, 4386], [8329, 10154], [1223, 8774], [3938, 5911], [7921, 8639], [68, 10442], [5945, 6179], [1745, 4914], [7357, 9994], [4370, 8951], [4590, 7005], [1156, 4519], [3549, 4823], [1596, 8955], [1370, 8420], [2953, 4011], [7839, 8987], [4050, 6502], [275, 3723], [254, 2846], [4662, 11230], [5197, 8356], [2454, 3509], [643, 5058], [2757, 4449], [3500, 4530], [10010, 10760], [2443, 8231], [4848, 10804], [2407, 6322], [1202, 3709], [323, 357], [2468, 3565], [4534, 5918], [3973, 7571], [5114, 8479], [4654, 10938], [297, 11187], [5827, 7597], [1312, 11424], [10930, 11110], [918, 1671], [4281, 4691], [3330, 6189], [196, 8102], [1686, 6912], [8408, 11335], [8558, 11279], [241, 4088], [11235, 11342], [8988, 10863], [8251, 10570], [1589, 3946], [2957, 6708], [824, 881], [2573, 9751], [4161, 9850], [6714, 8157], [916, 3853], [850, 5485], [1158, 3386], [2534, 7544], [2933, 11225], [411, 1651], [3252, 7006], [4582, 7813], [2092, 3412], [10063, 10720], [3272, 7658], [4146, 4250], [125, 5202], [4987, 9030], [686, 1297], [2998, 9341], [4741, 6345], [5360, 8080], [7971, 9775], [318, 1810], [8315, 10339], [2054, 4059], [4855, 6632], [161, 8242], [254, 4269], [5665, 5683], [6096, 8121], [6782, 11078], [9641, 10623], [3543, 6781], [6867, 10627], [176, 1353], [4442, 10785], [3381, 4918], [7085, 8985], [2531, 3058], [1235, 4491], [731, 3268], [724, 6261], [1670, 4419], [1109, 6072], [4777, 10482], [2698, 11277], [7941, 10663], [2349, 4707], [5888, 6263], [881, 3212], [2379, 6047], [6075, 6089], [1935, 9039], [3858, 6950], [2156, 7695], [284, 8591], [3054, 8845], [5635, 9200], [5612, 7496], [5608, 10760], [149, 5922], [3240, 11452], [6005, 7198], [3425, 10451], [405, 7016], [9297, 10008], [2552, 10297], [28, 11230], [615, 2130], [124, 10938], [2075, 10897], [1392, 5205], [4105, 7177], [5564, 10838], [3716, 9876], [1666, 9157], [3097, 11524], [3775, 4040], [3876, 4092], [504, 3238], [3711, 6499], [7602, 10392], [2810, 4297], [692, 5918], [7969, 8119], [56, 5707], [2681, 5580], [651, 2884], [2641, 6181], [906, 6786], [1359, 1658], [10295, 11338], [396, 11410], [2545, 9102], [10008, 10527], [3562, 5221], [4066, 7198], [7770, 10511], [857, 7274], [4812, 8708], [9915, 11467], [5803, 5885], [6372, 8257], [3934, 10462], [145, 1561], [3460, 8327], [9561, 10188], [6861, 8421], [8418, 8453], [841, 5236], [1780, 6387], [5085, 6773], [3213, 4663], [9656, 10425], [2244, 4801], [1989, 4282], [6393, 9484], [2429, 3800], [2152, 5966], [2898, 9728], [5439, 9930], [5721, 8862], [9962, 10882], [8522, 11435], [5356, 8175], [1870, 5499], [834, 4415], [7960, 9453], [3848, 8035], [3044, 5766], [807, 10139], [2548, 8568], [6706, 9607], [1787, 2239], [2882, 11073], [5832, 9982], [1809, 7855], [9045, 10779], [821, 3779], [3592, 9893], [2334, 2758], [7160, 7683], [1690, 9072], [7596, 10465], [31, 2347], [500, 7521], [3955, 4468], [4161, 8508], [59, 3614], [1184, 8153], [2141, 6500], [4485, 11049], [3425, 11069], [3914, 4844], [3829, 9432], [2368, 9108], [4665, 9704], [6227, 10080], [780, 6757], [8615, 10040], [7526, 9322], [2951, 8934], [6244, 11215], [4382, 10547], [3282, 7758], [5398, 9474], [3748, 6245], [6776, 8043], [4093, 9663], [4053, 10264], [5585, 6267], [122, 3939], [9149, 9573], [7122, 10558], [7667, 8372], [2342, 6732], [3981, 9048], [7372, 7700], [1685, 11306], [7282, 11190], [2639, 9355], [717, 8636], [7780, 9188], [648, 10751], [188, 8292], [2454, 7323], [2755, 10469], [4472, 8504], [9112, 10041], [3840, 11445], [20, 9647], [4901, 7863], [3166, 9222], [6948, 7530], [4112, 6656], [8361, 8537], [3621, 9802], [2721, 5573], [9844, 10340], [4672, 11194], [196, 8533], [2811, 7718], [2183, 8149], [101, 9427], [5486, 11118], [9557, 10283], [9710, 11279], [470, 10233], [4073, 7832], [6196, 6555], [931, 4966], [934, 8647], [872, 7769], [5199, 11061], [7682, 7875], [7591, 8511], [619, 907], [1711, 5306], [4668, 8392], [96, 10931], [2677, 4870], [1480, 2929], [5440, 11123], [5564, 6463], [1973, 6245], [6902, 7885], [2533, 4367], [3785, 4517], [480, 721], [1790, 10675], [238, 3817], [2251, 4654], [545, 8663], [2847, 3187], [697, 5270], [3240, 9305], [1378, 8637], [1801, 4044], [4853, 6236], [4739, 9332], [6126, 6509], [3832, 10348], [4921, 8814], [1182, 7944], [958, 5984], [8616, 8631], [4168, 9516], [2050, 3967], [4568, 10389], [642, 1025], [4965, 6827], [8208, 9745], [1057, 9346], [3874, 6036], [8180, 8451], [5768, 8871], [4524, 7084], [1110, 6728], [43, 9741], [7486, 10514], [2593, 4367], [2968, 3490], [3250, 6586], [8346, 8928], [6140, 7696], [1162, 10301], [1886, 9578], [2750, 5482], [933, 3833], [2281, 10107], [5116, 7346], [3368, 7746], [5326, 8876], [379, 5876], [8834, 8867], [6700, 9955], [67, 10485], [5793, 10971], [7601, 10622], [5703, 8045], [2546, 4147], [619, 2330], [343, 3186], [4422, 6376], [3946, 9830], [5472, 8297], [1355, 2371], [2757, 5498], [2861, 5821], [2911, 5184], [4256, 7777], [78, 7991], [272, 11240], [1480, 11118], [4499, 7912], [5932, 6188], [7195, 8779], [7257, 9657], [2118, 4235], [3189, 7757], [2217, 4214], [4517, 8491], [219, 3685], [263, 10373], [2648, 6652], [1029, 9152], [7696, 9704], [9218, 11435], [2430, 8644], [7137, 11403], [7624, 11521], [5917, 7758], [1034, 7217], [8876, 10917], [1030, 3311], [772, 4773], [7998, 11173], [2480, 4974], [8245, 11050], [1738, 8501], [3511, 9097], [7515, 10423], [4215, 11135], [3349, 7988], [7676, 11280], [8669, 9284], [6792, 7584], [2817, 8127], [699, 9748], [2478, 8661], [138, 821], [2257, 6972], [6551, 7872], [1842, 4286], [4930, 9545], [730, 8280], [7388, 10998], [1220, 7915], [6987, 10654], [3265, 4503], [5670, 7076], [4823, 8143], [2082, 10539], [3926, 10601], [2056, 2902], [1620, 5755], [1983, 9779], [2945, 6218], [4732, 5746], [644, 2470], [9024, 9983], [3012, 11577], [3690, 10509], [7958, 10188], [611, 3461], [7677, 7694], [757, 3286], [2501, 5396], [479, 6725], [3712, 4791], [3650, 3913], [6368, 11147], [7223, 9217], [11190, 11412], [7828, 11246], [3938, 4545], [6083, 11163], [3740, 3806], [8566, 8731], [1849, 4652], [5047, 10079], [8562, 11241], [2927, 4457], [6266, 7083], [4632, 5141], [2983, 4766], [1331, 1464], [2461, 6347], [1900, 3836], [5501, 10434], [3073, 6911], [2455, 8030], [549, 1428], [2577, 3297], [4044, 4567], [202, 6982], [5845, 7965], [370, 9010], [3700, 10392], [4003, 7949], [1663, 10689], [2561, 5423], [664, 1536], [5366, 11121], [1324, 4026], [8574, 10820], [3717, 4330], [1091, 11402], [1662, 4021], [3124, 7199], [724, 3472], [5326, 8689], [3113, 6286], [8094, 8116], [6046, 11230], [8097, 8387], [1528, 4206], [5101, 9510], [6, 10022], [97, 10140], [8655, 9846], [2769, 5695], [7657, 11498], [799, 7214], [5420, 10953], [1432, 7881], [5783, 9315], [5310, 6651], [6710, 8951], [4695, 5035], [4941, 8474], [4070, 4983], [4846, 5204], [3099, 10710], [3629, 7492], [1666, 6018], [3078, 3417], [4308, 7780], [1732, 7769], [5622, 8808], [5889, 5954], [6052, 7638], [5020, 8925], [3430, 10665], [283, 1039], [9503, 10478], [354, 9550], [1252, 11454], [8227, 9153], [37, 8153], [5233, 6939], [10028, 10299], [3015, 4946], [4166, 4290], [1584, 4464], [1145, 7046], [8928, 10139], [2113, 3273], [6101, 7099], [4317, 7842], [865, 10412], [2169, 4336], [9302, 9791], [5441, 7992], [4839, 9644], [1365, 8483], [1701, 2016], [2700, 3972], [9661, 10663], [2794, 3607], [7921, 10924], [3807, 8679], [2225, 3864], [857, 10901], [1941, 4105], [3377, 6816], [6367, 11540], [10443, 11049], [1665, 2709], [10154, 10946], [4772, 8772], [135, 4500], [2998, 3787], [6322, 7633], [5425, 9337], [6788, 6874], [4109, 5984], [3028, 5127], [1404, 1621], [378, 7641], [708, 2857], [4073, 7458], [10361, 10643], [282, 4146], [4783, 8557], [2820, 7837], [4535, 11461], [1464, 5055], [9116, 9385], [6189, 8393], [2696, 8710], [4284, 4645], [1054, 10260], [3812, 11251], [3261, 7930], [6267, 6771], [1534, 2791], [4312, 9322], [1822, 2669], [5051, 10415], [7356, 8620], [128, 5557], [1225, 8048], [5045, 9065], [308, 7595], [5480, 6741], [1691, 6508], [1959, 7262], [6511, 6700], [1903, 7330], [844, 10958], [187, 6487], [7188, 10325], [4941, 9092], [5440, 6561], [5792, 10396], [3416, 7063], [4479, 10724], [1769, 8269], [9208, 11552], [5438, 6865], [2294, 7336], [1358, 3450], [353, 10347], [2354, 8141], [9790, 11153], [72, 7853], [3475, 4610], [4686, 10421], [2969, 5970], [3528, 7654], [601, 7416], [2439, 6909], [1768, 3506], [4202, 10981], [3462, 7007], [6342, 7429], [1744, 8747], [2453, 7746], [6976, 7944], [936, 9742], [5913, 7666], [992, 10805], [610, 4095], [5878, 9365], [7675, 8103], [1945, 8629], [3808, 6489], [4028, 8707], [327, 1905], [2309, 3429], [1906, 6422], [1539, 11324], [5359, 6706], [6105, 10468], [224, 4409], [1164, 8414], [2830, 5760], [1271, 9065], [1690, 7706], [4861, 4894], [2063, 6756], [1117, 2182], [7343, 8653], [2769, 11119], [6310, 7086], [2043, 8763], [4037, 4632], [496, 2249], [3978, 7435], [2259, 9327], [2479, 11545], [17, 2022], [8423, 8504], [945, 3014], [6118, 7266], [5493, 11378], [4151, 9056], [4467, 10982], [6112, 6697], [8634, 9855], [4706, 6834], [6703, 7138], [1813, 4672], [2429, 6890], [5300, 10956], [854, 10416], [5455, 5609], [658, 6340], [1835, 6905], [5393, 11147], [9869, 11529], [4521, 8185], [7162, 8591], [407, 5940], [679, 4184], [1707, 11042], [716, 6695], [124, 9035], [2645, 2923], [1676, 3061], [748, 5452], [1245, 6258], [5037, 10172], [9641, 11298], [2738, 8749], [3638, 4310], [3068, 10381], [3844, 4186], [9852, 10020], [7183, 9818], [2140, 10520], [8458, 10918], [822, 6340], [390, 4431], [2669, 10083], [2602, 8861], [5248, 7359], [2502, 4493], [1129, 11186], [4742, 8719], [4347, 11573], [1068, 6746], [2033, 9118], [142, 9964], [2905, 9047], [4684, 8714], [6697, 8797], [5141, 5957], [3336, 5069], [4728, 7508], [9101, 11145], [5727, 9464], [5233, 8175], [403, 10678], [6514, 6811], [2150, 4391], [4292, 7328], [5092, 5691], [1024, 3791], [4379, 9956], [2493, 4730], [2338, 7071], [2644, 10561], [1335, 1963], [2983, 7775], [22, 11336], [3281, 4207], [2787, 7836], [3497, 8935], [5126, 11287], [109, 3384], [4651, 8550], [7390, 9491], [6485, 7170], [2973, 9689], [4341, 7570], [1469, 6285], [9595, 10498], [3590, 9099], [1188, 10961], [358, 7471], [2555, 10869], [3095, 8339], [2114, 10372], [6286, 10343], [991, 3627], [3554, 9038], [3821, 6938], [5261, 6385], [1837, 5341], [8401, 8424], [7616, 10369], [3073, 5732], [6311, 8306], [6370, 8886], [4510, 4881], [1141, 1292], [1008, 8118], [4653, 7818], [3963, 9623], [171, 3457], [4559, 8156], [3435, 10635], [2690, 6317], [6146, 10282], [2677, 4577], [7157, 8865], [1554, 4248], [7557, 9738], [1774, 6466], [965, 10269], [3639, 10815], [3819, 9470], [902, 3504], [685, 4967], [2108, 2555], [1051, 7010], [8771, 9781], [2073, 9916], [5753, 9425], [2921, 5287], [1861, 6061], [2510, 6507], [3626, 6796], [7896, 9554], [2165, 6472], [10012, 11270], [2097, 7277], [1040, 5316], [1592, 3577], [581, 10629], [1882, 7288], [2651, 5584], [5823, 9790], [635, 10865], [1688, 7422], [2524, 7694], [4981, 5539], [342, 6856], [37, 6974], [3321, 11421], [3176, 8788], [3016, 10785], [3298, 3301], [7212, 11150], [3045, 3609], [4698, 5601], [1740, 3798], [2767, 7048], [5291, 6869], [3104, 9851], [4816, 7542], [3190, 5461], [1196, 2422], [509, 1492], [3791, 10754], [6453, 9031], [10262, 11394], [5215, 11196], [4243, 6899], [4831, 7823], [1068, 6559], [1257, 9464], [1754, 10270], [503, 4306], [1100, 2310], [702, 7899], [4778, 7408], [3002, 5760], [5741, 7455], [3750, 10349], [4989, 5376], [5959, 8846], [1596, 3645], [3017, 6822], [214, 7586], [5609, 10719], [6566, 6814], [3918, 5237], [1557, 2936], [5538, 5591], [1522, 11051], [2394, 10980], [154, 338], [3144, 5062], [5310, 6895], [3704, 10354], [2671, 6535], [176, 7452], [1824, 7602], [2135, 9184], [2601, 4261], [4221, 8779], [1005, 1268], [860, 5051], [1782, 10759], [5772, 8996], [1314, 9193], [2776, 5955], [345, 2915], [3679, 7449], [3872, 5592], [7915, 9125], [563, 4306], [10719, 11215], [2736, 6556], [654, 3670], [7006, 9314], [2840, 6879], [3081, 9974], [6286, 10156], [9346, 9957], [2302, 7203], [5436, 10925], [7027, 10541], [5936, 8996], [5960, 7138], [1230, 2675], [1675, 9707], [4168, 7963], [7919, 11122], [2820, 9236], [3379, 6756], [3315, 9215], [9507, 10440], [3194, 10386], [4679, 8852], [642, 9271], [5363, 9484], [1168, 8563], [1383, 10437], [7009, 8807], [5605, 9017], [4896, 10772], [2690, 6130], [5993, 9099], [4306, 6742], [10211, 10943], [4850, 7394], [1372, 8743], [33, 10102], [1960, 8913], [5444, 10762], [4228, 4607], [7221, 9602], [7054, 8176], [8683, 10528], [923, 10610], [202, 1428], [5289, 10824], [8016, 10250], [5067, 5527], [772, 7408], [5531, 10357], [5909, 9751], [2414, 9241], [5735, 7154], [4369, 4438], [2598, 5386], [2560, 2650], [608, 3220], [8720, 11507], [1758, 4591], [1276, 11263], [7198, 10907], [3216, 11033], [3837, 7179], [7932, 10902], [6968, 11384], [5719, 9253], [3461, 7831], [1769, 11546], [1463, 1640], [3202, 3406], [5629, 9710], [581, 5904], [1918, 2220], [2363, 9252], [2953, 6085], [2199, 7343], [5992, 10701], [2687, 3899], [3791, 10567], [7917, 9439], [2755, 8729], [1313, 6203], [2906, 8898], [4124, 9464], [562, 1316], [5859, 8078], [1187, 4751], [5880, 5922], [4106, 5101], [1179, 4109], [3104, 8509], [5041, 11014], [2121, 4777], [3360, 6974], [7028, 10630], [3041, 8160], [3987, 6318], [1143, 1419], [7847, 10898], [4625, 6605], [3205, 6282], [993, 7487], [7230, 7731], [5309, 9866], [5839, 6648], [3659, 7391], [199, 5936], [4376, 6251], [11160, 11552], [4092, 6492], [5644, 6180], [6898, 8655], [1829, 11142], [3808, 6733], [3927, 8145], [1509, 3058], [10337, 10761], [3370, 6507], [8170, 9457], [691, 3365], [2810, 4598], [3341, 11404], [622, 4699], [56, 6008], [2182, 8412], [6669, 9707], [4290, 6103], [4045, 6272], [7966, 8122], [3171, 3264], [22, 3391], [5247, 7833], [5718, 7418], [6072, 8670], [1263, 11296], [461, 4192], [4915, 8757], [3442, 11082], [1771, 9982], [4029, 4234], [3880, 10527], [5093, 10749], [4090, 5641], [5495, 8285], [3367, 9218], [5834, 7751], [975, 5352], [6360, 7043], [1473, 9012], [912, 4249], [9474, 11244], [386, 8340], [66, 8924], [2590, 5739], [7435, 10714], [6201, 9615], [5767, 6879], [3398, 4717], [4265, 10718], [3800, 7915], [1622, 3069], [4884, 6037], [6009, 6412], [1595, 10291], [6031, 7891], [4914, 8131], [8337, 9704], [1608, 4110], [1451, 10542], [358, 1754], [9074, 9216], [2952, 6478], [5280, 6387], [5459, 8604], [139, 4275], [2879, 8070], [2463, 2530], [3412, 11539], [1164, 10081], [229, 9803], [4228, 6648], [2059, 10933], [492, 3797], [2303, 11293], [503, 11503], [5066, 6966], [7867, 8785], [372, 2160], [241, 9813], [7710, 8801], [9296, 10325], [1170, 3860], [2363, 9065], [8729, 11409], [6774, 10550], [8584, 8776], [418, 1000], [4062, 5016], [6087, 7368], [6950, 9463], [4656, 9138], [9007, 10572], [5738, 6433], [6147, 10802], [5061, 10355], [8261, 10193], [3001, 8948], [9157, 10516], [5511, 10591], [4079, 8753], [657, 1366], [1933, 8326], [7100, 7128], [3697, 6207], [3710, 4160], [2053, 6930], [1157, 11488], [6061, 11408], [2869, 9179], [8246, 11009], [3017, 9831], [2459, 11001], [1838, 2023], [5850, 10407], [585, 8818], [306, 7151], [1388, 10862], [3719, 3872], [4804, 4848], [3682, 8127], [970, 1839], [2558, 4190], [6510, 8359], [7227, 10629], [252, 5760], [3268, 6043], [6258, 10767], [9100, 9177], [318, 9763], [1333, 10000], [780, 11514], [4985, 7461], [2455, 2907], [6059, 9776], [6377, 8365], [548, 2496], [6530, 9361], [2335, 8440], [76, 3440], [55, 2563], [9511, 10589], [4571, 8760], [8480, 9095], [797, 8835], [5465, 6004], [7643, 9352], [5744, 8802], [5732, 7287], [1439, 9995], [1783, 9805], [6234, 8437], [4214, 6429], [45, 4477], [546, 2019], [3772, 3832], [1652, 3872], [6760, 7729], [4330, 7543], [6384, 8381], [2313, 9970], [539, 4985], [4696, 9586], [2810, 3606], [1179, 5345], [7135, 10235], [10108, 10821], [2460, 3200], [6128, 11020], [3788, 9596], [550, 4770], [1090, 2240], [4973, 8524], [7089, 10240], [864, 6623], [4601, 6666], [5320, 5599], [1543, 6157], [9383, 9784], [1136, 8250], [3942, 10413], [5088, 9413], [231, 2923], [3128, 8210], [1325, 1733], [9031, 9332], [2594, 5270], [7547, 11468], [8882, 9209], [5520, 9043], [3056, 9273], [10659, 11459], [1129, 8210], [1261, 3411], [7417, 11395], [6426, 7802], [9490, 10785], [968, 6572], [2587, 7482], [808, 2153], [1613, 7276], [4388, 10880], [4114, 5393], [1179, 4540], [8687, 9872], [3135, 4843], [1680, 5465], [3576, 5717], [9080, 9574], [2824, 3638], [7092, 9733], [7609, 7781], [5840, 7304], [4945, 5671], [5533, 5841], [4874, 6959], [3938, 9489], [2325, 9525], [5954, 7591], [2027, 11588], [382, 8703], [1903, 2662], [7319, 10836], [1632, 8026], [4051, 9551], [6489, 8100], [3469, 11081], [1659, 9849], [7318, 11365], [1972, 8848], [1134, 7749], [1068, 9381], [6104, 10918], [1040, 7333], [9839, 10134], [4364, 11179], [2743, 7190], [11265, 11403], [1272, 6178], [5540, 5857], [3952, 4260], [7121, 10447], [2049, 2837], [1928, 11178], [8619, 9872], [4285, 5409], [3202, 8643], [4636, 9773], [6628, 9733], [3445, 11030], [773, 4895], [3380, 4219], [6339, 9630], [4252, 10564], [3567, 4045], [3682, 10973], [2694, 6143], [1293, 10788], [4583, 9388], [49, 9001], [384, 10977], [5616, 10174], [2166, 7155], [3028, 8648], [4986, 9778], [726, 7708], [9900, 10386], [6691, 10462], [6441, 9533], [911, 1045], [2621, 8489], [217, 3108], [5636, 7793], [6823, 9800], [214, 6220], [9056, 9068], [426, 3632], [5068, 5996], [4347, 5482], [4505, 6822], [3289, 7083], [5809, 9414], [1021, 11389], [5532, 10826], [4318, 10379], [1326, 8992], [820, 3936], [2418, 6975], [4837, 6248], [1351, 3572], [4597, 6761], [1362, 7868], [1637, 9793], [6047, 8424], [7384, 11156], [6081, 11418], [1687, 2740], [3710, 8429], [5299, 7218], [2369, 6709], [10123, 11316], [3463, 5519], [4825, 11499], [744, 5230], [6297, 9703], [3701, 8316], [1951, 7889], [2484, 4188], [2580, 3896], [369, 9490], [8739, 9899], [10173, 11029], [8363, 10551], [5772, 9508], [2014, 2172], [9443, 11183], [771, 3239], [5184, 6305], [2006, 7946], [8446, 9273], [2195, 10851], [1438, 2012], [7979, 10561], [696, 1375], [5654, 7917], [6265, 9791], [5484, 9226], [2911, 9486], [6791, 9083], [507, 1853], [10847, 11323], [1339, 4635], [8222, 9915], [8196, 8694], [994, 1190], [3216, 10472], [7901, 11028], [1123, 6673], [3081, 7803], [10116, 10471], [4407, 5458], [3637, 9189], [5342, 9119], [1522, 8075], [830, 6047], [615, 2675], [7083, 10931], [4178, 5756], [9687, 9957], [4623, 6372], [5271, 10757], [1658, 2644], [3823, 4252], [4949, 7481], [503, 525], [6320, 9043], [4637, 10592], [654, 694], [492, 2618], [3456, 6121], [1553, 5452], [1923, 4231], [3366, 9611], [9400, 10250], [5444, 8591], [1428, 9887], [2137, 8132], [2116, 7255], [2758, 4278], [8485, 9870], [7394, 9079], [5594, 9289], [9859, 10949], [6251, 7344], [9888, 10189], [1822, 10191], [6648, 10952], [1755, 2553], [1885, 8261], [5364, 9766], [3194, 4027], [9004, 11374], [823, 1038], [790, 9226], [576, 10960], [138, 10734], [7325, 7380], [2683, 9180], [1998, 2661], [7001, 8222], [184, 6945], [1744, 10658], [3358, 7814], [65, 2527], [3229, 9124], [3886, 7933], [1561, 5289], [2671, 4632], [1673, 5530], [4518, 7621], [1808, 11582], [7243, 11138], [1020, 1932], [546, 1295], [2294, 8442], [2564, 5859], [1949, 4997], [1066, 10571], [7819, 10143], [4216, 6882], [9720, 10739], [4740, 5347], [747, 10976], [3488, 7082], [2922, 4227], [8281, 11113], [3682, 10331], [4513, 9505], [5792, 7314], [4828, 7796], [2834, 4757], [5599, 7673], [1179, 1938], [962, 3401], [6132, 8136], [309, 1301], [1287, 8072], [294, 10068], [1696, 9031], [6112, 8608], [9449, 11161], [1445, 8631], [10163, 10504], [9006, 10591], [2378, 9967], [292, 3175], [1123, 9519], [7826, 9728], [1216, 3294], [4135, 10060], [4947, 5774], [4079, 5964], [854, 1373], [1170, 9715], [2166, 4203], [925, 6097], [2635, 9377], [2747, 3956], [9608, 11167], [2972, 6518], [1203, 1877], [198, 6522], [1715, 9407], [5832, 8917], [5111, 9157], [3177, 6169], [1372, 6035], [3679, 7319], [1130, 9885], [3176, 6698], [4074, 7848], [689, 5978], [3015, 11476], [1924, 9931], [1146, 7385], [590, 9382], [655, 9777], [2365, 4389], [3287, 6687], [4171, 8131], [1084, 9890], [2359, 6826], [10354, 11522], [6653, 7726], [335, 11492], [5182, 6714], [5808, 9620], [6742, 10427], [5658, 6643], [3077, 6288], [6238, 9204], [6673, 8378], [644, 6585], [3190, 3721], [1693, 7904], [2350, 5959], [4877, 9461], [2152, 5974], [3652, 5472], [816, 10260], [10587, 10942], [7921, 8005], [3833, 6981], [42, 10839], [4452, 9470], [7253, 11289], [3634, 6771], [2682, 8768], [2116, 5913], [8119, 11403], [7945, 9530], [3929, 4410], [3106, 10035], [2392, 5030], [9900, 10362], [5072, 8774], [9955, 10069], [1775, 2587], [2855, 3219], [2103, 8310], [583, 10789], [1201, 3254], [2444, 5570], [4376, 7731], [6645, 9689], [1597, 6637], [4773, 10585], [2696, 5791], [3993, 11376], [6011, 6141], [7072, 8975], [1536, 5580], [6360, 9678], [6324, 7769], [3743, 7414], [8091, 11583], [8251, 9586], [1184, 11544], [1091, 2685], [9807, 10147], [4552, 9246], [3052, 3332], [10765, 11348], [2955, 9815], [744, 8239], [3042, 5273], [1822, 8044], [4690, 7675], [3475, 10790], [3757, 7470], [7707, 8560], [4245, 10442], [2390, 10945], [833, 4497], [8914, 10465], [10, 10122], [5987, 10227], [3770, 4672], [9931, 9967], [4415, 8759], [1777, 7870], [3621, 7932], [5474, 10766], [443, 3157], [7745, 10141], [5191, 8199], [310, 1315], [3365, 7188], [5202, 9489], [3110, 5915], [4906, 8215], [2165, 10611], [3631, 4863], [1397, 8753], [3159, 5807], [4220, 8641], [10823, 10898], [1785, 8111], [4534, 9740], [241, 6032], [3942, 9047], [7478, 11086], [1600, 10960], [2436, 8980], [6302, 7713], [406, 6284], [10340, 10902], [6757, 8293], [446, 2650], [5260, 6060], [1831, 3918], [124, 6571], [7290, 8756], [2935, 9832], [223, 10714], [8091, 9973], [5321, 7467], [7528, 10799], [7445, 9044], [3763, 9462], [920, 10827], [1923, 3857], [7717, 10671], [1521, 9704], [9049, 11524], [4097, 8934], [1136, 2696], [2755, 3606], [9071, 9593], [2538, 5823], [609, 3179], [891, 6275], [6617, 9013], [6491, 9840], [1625, 8522], [1251, 10001], [3889, 4474], [4329, 11162], [1693, 4684], [2310, 5592], [1312, 11408], [3029, 9443], [8743, 9912], [6318, 10070], [1872, 9530], [5783, 7282], [905, 6331], [4671, 11276], [34, 2840], [4079, 7200], [1739, 3524], [2699, 5552], [2585, 4484], [184, 9954], [1545, 5910], [2665, 10105], [4876, 5265], [646, 5289], [928, 8385], [3352, 10254], [5336, 6189], [9267, 9481], [4938, 9526], [5657, 8459], [1796, 6660], [8795, 9671], [5686, 7699], [103, 351], [1955, 10854], [8732, 9322], [2533, 3920], [2405, 4674], [101, 7825], [7728, 10405], [3585, 9674], [7858, 9697], [5790, 10681], [7264, 8958], [4174, 6282], [2656, 5424], [1529, 4976], [5732, 9922], [3423, 7811], [1434, 5116], [5541, 6190], [2483, 6435], [5349, 9403], [36, 2862], [1928, 5624], [6778, 10943], [1306, 2837], [5530, 9414], [3126, 4033], [3390, 5769], [2046, 6784], [7047, 9266], [3186, 7467], [3468, 10563], [7893, 10226], [2162, 7898], [256, 542], [1107, 1846], [8851, 9929], [4840, 10815], [4957, 5738], [7013, 7403], [1507, 9135], [4433, 10656], [1694, 2545], [3834, 5409], [4708, 6165], [252, 9818], [718, 11311], [5109, 9892], [6384, 6828], [1310, 2555], [3636, 8053], [4417, 8618], [2025, 11168], [597, 6820], [5700, 10333], [1399, 1846], [3291, 3854], [372, 1225], [4190, 6360], [810, 11250], [867, 5368], [856, 6707], [4089, 8937], [680, 8925], [978, 6138], [3254, 5857], [989, 10434], [3279, 6853], [452, 3813], [44, 2298], [1064, 4377], [1260, 2037], [2148, 2499], [814, 4202], [1939, 8741], [2658, 7674], [5144, 11175], [6107, 10468], [3851, 5739], [5227, 9897], [9055, 9304], [2398, 3024], [813, 7360], [2714, 7956], [10207, 11502], [1026, 1991], [659, 6893], [458, 2473], [1170, 5153], [4330, 8568], [3260, 7900], [5092, 10611], [8335, 9365], [1823, 6472], [4945, 7151], [5726, 6962], [10547, 11543], [3187, 6863], [7487, 10961], [3065, 10815], [5181, 6115], [3469, 9178], [3407, 7546], [4532, 5669], [5055, 7696], [1440, 9336], [1401, 6375], [3374, 8537], [10251, 10619], [4523, 7808], [2085, 7007], [4010, 5745], [5828, 11002], [9372, 10650], [1213, 10461], [8687, 10547], [3200, 10077], [1806, 10975], [3544, 9887], [2652, 6273], [3294, 3296], [4785, 11376], [4131, 4170], [7363, 11433], [1262, 7320], [1981, 6253], [1972, 9173], [555, 8367], [3562, 4400], [3304, 3610], [7851, 11372], [2438, 6879], [8940, 9084], [542, 965], [349, 6986], [2056, 4333], [1916, 8460], [3213, 6875], [2774, 10211], [6177, 6968], [8095, 8699], [5329, 8564], [7, 10605], [1143, 4753], [6010, 8925], [3759, 6792], [1281, 8070], [9299, 10306], [2266, 5432], [4403, 8025], [4444, 8026], [3623, 4652], [4195, 10705], [5707, 6830], [8107, 9059], [8451, 8869], [5798, 10331], [1655, 9600], [7630, 8124], [3648, 5998], [8250, 11215], [3176, 6942], [3308, 9313], [1813, 2989], [660, 7736], [3516, 9262], [1560, 3297], [4762, 8843], [4662, 5229], [5252, 8478], [8801, 9224], [3254, 8703], [1084, 3718], [798, 3132], [1080, 6228], [247, 5473], [674, 5540], [2234, 11505], [3628, 4191], [6176, 7816], [5718, 11102], [2351, 6428], [5868, 7663], [6917, 8982], [1158, 11022], [3250, 8180], [8518, 9286], [4218, 10823], [2632, 2883], [4562, 8381], [3999, 9207], [4302, 6764], [8634, 10400], [4178, 5008], [2684, 8708], [8621, 9414], [7129, 9777], [4732, 5567], [1805, 8739], [8904, 8948], [1588, 3786], [3792, 4191], [2145, 5397], [4018, 9607], [4476, 4823], [2039, 7630], [3193, 6491], [7248, 11539], [2420, 10705], [2607, 4115], [7646, 11585], [1268, 4720], [6361, 7545], [4031, 10973], [11190, 11233], [3905, 8390], [2749, 6450], [884, 1347], [7922, 10702], [1979, 9427], [2354, 9304], [1289, 8980], [3033, 9592], [6615, 7812], [2775, 4638], [3005, 7544], [9624, 10334], [5298, 10650], [4859, 6816], [6199, 9065], [504, 2230], [1930, 3499], [7683, 10312], [7719, 9969], [7758, 9143], [998, 1984], [801, 11269], [3392, 10060], [2363, 5983], [4132, 4208], [2012, 4248], [8796, 10303], [5788, 10635], [5478, 9655], [4157, 5204], [891, 11162], [7923, 10149], [2954, 9834], [294, 6742], [5928, 9891], [269, 2713], [50, 9765], [2049, 10896], [143, 3540], [3599, 9757], [4447, 11544], [3470, 7657], [571, 8713], [4094, 7484], [5142, 5949], [3653, 9993], [2256, 4958], [4033, 10214], [1478, 4664], [5208, 9952], [4517, 9280], [4454, 8177], [7317, 7464], [2740, 10413], [3862, 4855], [994, 1060], [3917, 4562], [7349, 10385], [6654, 8840], [10172, 10273], [3515, 10409], [3391, 8653], [3360, 7088], [4657, 5503], [1950, 8981], [4937, 7772], [1890, 2514], [3538, 9080], [1356, 1826], [4566, 9522], [896, 4285], [4870, 9933], [1350, 2011], [618, 8478], [1759, 7134], [2874, 6067], [19, 979], [3470, 6852], [3315, 9947], [2899, 7817], [3719, 7556], [3194, 4702], [3746, 5969], [3056, 4768], [6980, 11053], [1619, 3340], [6355, 11001], [3371, 7223], [3493, 8906], [2868, 8854], [4430, 9230], [8157, 8585], [6655, 8260], [4507, 11170], [1306, 11107], [5638, 8327], [10736, 11496], [1335, 3931], [6066, 11248], [9359, 9365], [9400, 10120], [6712, 9144], [4095, 9132], [4532, 9133], [4944, 7357], [9256, 9617], [4490, 9661], [3947, 5447], [893, 9598], [4907, 8229], [2321, 7530], [4556, 7248], [1720, 5620], [2726, 8747], [3430, 6648], [1534, 7150], [845, 3141], [5146, 5212], [4423, 10287], [9464, 10670], [904, 3721], [4732, 5380], [1614, 11236], [8838, 10393], [5968, 6525], [1458, 4280], [4948, 7075], [984, 7807], [3047, 9862], [6685, 9145], [3820, 9785], [1418, 5231], [600, 4784], [3252, 7234], [6793, 9617], [3300, 9934], [4425, 10309], [3494, 6767], [932, 10626], [5820, 5849], [8039, 11450], [4292, 4303], [9128, 9916], [4517, 6865], [1679, 11580], [2589, 7829], [2861, 6073], [6524, 7133], [9978, 11025], [3235, 5725], [5506, 11516], [6213, 8934], [6180, 6542], [2135, 6346], [2201, 10349], [1821, 4466], [2139, 7219], [3192, 6028], [3069, 7126], [139, 6617], [259, 303], [166, 4276], [171, 4620], [6239, 10505], [6886, 7872], [2598, 10924], [5707, 10644], [3025, 3821], [1825, 7968], [1106, 2619], [1464, 6299], [1842, 5693], [5264, 10074], [2098, 7568], [3421, 7204], [7873, 9444], [6283, 7020], [8368, 9423], [2924, 3365], [2748, 7835], [522, 1063], [2743, 7491], [2431, 5684], [5073, 7446], [4792, 11368], [2669, 8481], [3388, 5162], [4467, 5192], [449, 9825], [5184, 8216], [6240, 10706], [705, 1120], [2759, 8374], [6670, 9536], [4155, 6768], [6015, 11527], [2622, 4878], [3680, 8195], [2379, 5120], [1131, 5843], [8846, 9024], [5272, 10665], [5143, 7811], [9809, 10569], [1629, 10257], [686, 2948], [2611, 7348], [4102, 9766], [4179, 5260], [3515, 6034], [5144, 8386], [3358, 8302], [6035, 8365], [3115, 8544], [2241, 5536], [5104, 8987], [3791, 11567], [3354, 4396], [3543, 5049], [960, 10283], [717, 11279], [2802, 7266], [3423, 9828], [7087, 10332], [4594, 6414], [175, 9949], [2226, 7106], [10008, 10755], [672, 10755], [3253, 3940], [1427, 9345], [5966, 10830], [1818, 9755], [1484, 4217], [3810, 9715], [8672, 9379], [6275, 11585], [503, 2086], [2968, 11126], [6054, 9896], [344, 1275], [692, 8374], [8689, 9733], [6607, 6847], [974, 5054], [1158, 1199], [8506, 10780], [5925, 11179], [3151, 10429], [7972, 10846], [2175, 2980], [7529, 10276], [2579, 7759], [8346, 10498], [1149, 2584], [7711, 9758], [1517, 4700], [1450, 3478], [9525, 10355], [5869, 9742], [1674, 8821], [3322, 8971], [5963, 9377], [5378, 6472], [7890, 8188], [2919, 7046], [6613, 10425], [5620, 6005], [931, 7959], [6707, 10060], [6001, 9080], [4411, 10066], [791, 11362], [228, 5772], [5833, 10435], [1915, 11512], [5186, 6652], [100, 6526], [2218, 4905], [1106, 9653], [2247, 4145], [8692, 9980], [4899, 5841], [1847, 4403], [389, 10012], [5110, 10225], [2005, 10624], [3397, 6647], [2423, 6441], [2294, 3587], [934, 4069], [1677, 8314], [1611, 3530], [616, 8863], [733, 9448], [3565, 7170], [3728, 8854], [2327, 6329], [3199, 9264], [1606, 6569], [2141, 3695], [5869, 5904], [4284, 10240], [1877, 11004], [198, 3627], [5874, 6248], [385, 9869], [1012, 9213], [3739, 9393], [7689, 9729], [4482, 6468], [4203, 7053], [6546, 8748], [216, 419], [5885, 6787], [4792, 10831], [4212, 8270], [8907, 10268], [5535, 8660], [4012, 7458], [7193, 9498], [5758, 10395], [7532, 8964], [4734, 10826], [3392, 5498], [8995, 9334], [8315, 9575], [650, 9921], [2887, 4050], [2484, 9295], [1049, 7940], [1361, 8966], [3454, 8978], [8581, 10633], [489, 5250], [1754, 2252], [883, 9341], [4365, 8111], [8415, 8651], [6479, 9000], [3099, 7474], [5305, 6454], [3529, 7058], [2128, 10949], [1163, 2161], [2785, 9758], [6104, 6844], [5197, 7860], [8838, 10824], [4850, 7752], [7817, 10772], [2958, 8373], [57, 8602], [6655, 11269], [3826, 10812], [309, 2407], [7652, 10146], [955, 6719], [4896, 9975], [4741, 6654], [117, 9003], [6457, 10880], [1065, 3854], [8284, 8329], [7893, 8673], [3067, 8666], [347, 605], [4773, 8040], [4427, 7403], [2904, 10365], [1059, 6668], [1434, 5791], [3915, 8948], [1282, 8403], [5570, 6105], [3708, 4683], [6256, 9062], [9093, 11292], [2266, 2911], [3239, 9308], [5016, 8148], [9520, 9824], [10077, 11435], [4920, 11069], [7747, 8447], [244, 1207], [1866, 8804], [5493, 10207], [4846, 6424], [11289, 11432], [7144, 9874], [4192, 4853], [8581, 9023], [3653, 3821], [6633, 7857], [1621, 4462], [1223, 10051], [944, 11390], [841, 1089], [9725, 10579], [2712, 9390], [5107, 6357], [2678, 7527], [7500, 10044], [1275, 10591], [3615, 7851], [406, 7927], [2212, 5253], [6071, 6225], [6590, 10762], [7273, 8540], [4286, 7497], [110, 10036], [3694, 9837], [1051, 8604], [6488, 10485], [1273, 6731], [1979, 11094], [2098, 6844], [360, 7932], [174, 4544], [2132, 5674], [2966, 9283], [4251, 7661], [6646, 8792], [4617, 8950], [4056, 4187], [917, 5756], [884, 9780], [664, 1146], [499, 3553], [11066, 11494], [973, 9071], [5820, 7703], [3245, 11300], [131, 8230], [6691, 8161], [3174, 6172], [4294, 10367], [1407, 2358], [11119, 11505], [1548, 1839], [3676, 5070], [8065, 9240], [1931, 4987], [1365, 2132], [8205, 10748], [3516, 6286], [4282, 5819], [887, 8923], [9259, 10159], [983, 9385], [1545, 10586], [925, 8626], [2909, 4561], [918, 1793], [264, 6665], [7829, 8367], [7201, 8798], [354, 8810], [5920, 7129], [5326, 7144], [2158, 9473], [4121, 10947], [7385, 8326], [1179, 2507], [660, 10021], [3585, 7934], [1677, 6167], [32, 3282], [1907, 9073], [3830, 6984], [282, 1178], [6310, 9916], [3044, 9458], [1645, 10012], [7285, 11478], [2366, 4110], [1361, 11007], [1087, 9684], [4839, 5871], [7645, 8788], [52, 11454], [3107, 4495], [1906, 5064], [6685, 9389], [8972, 9297], [7573, 9851], [2967, 7898], [394, 11568], [382, 10053], [5208, 10814], [3842, 7344], [4590, 5517], [3986, 10506], [3678, 6189], [2090, 3838], [1465, 3786], [2184, 3473], [5394, 10415], [2037, 10593], [10373, 11418], [194, 7723], [1894, 10315], [2033, 6687], [3360, 4567], [2931, 7837], [244, 670], [6513, 10975], [4677, 11528], [1957, 7631], [1893, 10090], [2206, 8335], [957, 6204], [898, 4843], [3511, 7365], [8841, 10103], [3323, 8068], [5225, 9266], [7933, 10894], [824, 3581], [9762, 9924], [3912, 5430], [7556, 8692], [8834, 10063], [892, 1995], [7519, 9564], [8011, 9272], [81, 2719], [9695, 11331], [8604, 10540], [1380, 8350], [3281, 8192], [4642, 4902], [2059, 10136], [4142, 10214], [7201, 10571], [2368, 5229], [3703, 6380], [222, 8966], [3054, 5934], [3856, 7376], [2583, 4070], [1459, 6549], [2983, 10605], [8344, 8492], [6087, 6571], [2107, 7524], [1983, 5014], [8485, 10602], [139, 2673], [3874, 8305], [3977, 9184], [3042, 8152], [3009, 5760], [292, 2134], [610, 7893], [693, 3232], [157, 5881], [6794, 7722], [4860, 5488], [8566, 10382], [5013, 5730], [5018, 6828], [2611, 7592], [7061, 9005], [1526, 3583], [3489, 5057], [1775, 6539], [4693, 9697], [1672, 3408], [3211, 9250], [123, 985], [7971, 8637], [179, 4300], [50, 1446], [5810, 7178], [775, 8495], [7371, 10335], [6169, 11433], [6497, 10710], [384, 7334], [1631, 7140], [4559, 10986], [7011, 8487], [1541, 4214], [5302, 8061], [2749, 4092], [5419, 9400], [4113, 5981], [6767, 9258], [6294, 6594], [3532, 10365], [3491, 3948], [7720, 10115], [4151, 6438], [5918, 10252], [443, 11297], [2766, 10862], [6107, 10151], [214, 8993], [5627, 7070], [1408, 5001], [1672, 9019], [3351, 10734], [1489, 10066], [10895, 11559], [7550, 8364], [3785, 10437], [5712, 5838], [9134, 10219], [4199, 9488], [9579, 10835], [3472, 9159], [3157, 10087], [6113, 9565], [5744, 11388], [9013, 9111], [2507, 3000], [1194, 5580], [196, 816], [6264, 6701], [503, 11324], [1434, 8450], [8476, 8879], [2220, 2943], [3584, 9750], [1657, 4523], [1027, 10543], [2118, 2666], [879, 1223], [8771, 11456], [5729, 6542], [5873, 9704], [2368, 2814], [4876, 7794], [1830, 9554], [4884, 5403], [7301, 10265], [1487, 8434], [5064, 10474], [3514, 5197], [7429, 9484], [891, 4616], [8420, 10825], [6563, 10501], [4252, 5311], [8641, 9481], [7056, 7401], [826, 3440], [638, 9805], [10906, 11293], [21, 8116], [7361, 11420], [11306, 11412], [7608, 11297], [1373, 6992], [6816, 10573], [2987, 10941], [161, 10755], [1302, 5247], [221, 4390], [7406, 10789], [465, 4750], [268, 7619], [9113, 10765], [4815, 8965], [5960, 7740], [4621, 9099], [1983, 8210], [6742, 11159], [6492, 10984], [1318, 2343], [7510, 10738], [3313, 6738], [3994, 9351], [1188, 7188], [1941, 11367], [2461, 7461], [2118, 10505], [6223, 8500], [2687, 6461], [5168, 9618], [7845, 9681], [5897, 9993], [3609, 6507], [10430, 10909], [7622, 11329], [1457, 7763], [2582, 5886], [5135, 10609], [1522, 6660], [3757, 5624], [5575, 10881], [4763, 8751], [5685, 8043], [3634, 4470], [10392, 10802], [2390, 2683], [1353, 3626], [480, 4226], [2785, 8847], [168, 6583], [3039, 9895], [8015, 11381], [4465, 4748], [7075, 10005], [2663, 4131], [1510, 8124], [6327, 11051], [6978, 9291], [4211, 10466], [3488, 7627], [3265, 10773], [1271, 2072], [10890, 11028], [6499, 10195], [7534, 7644], [390, 7692], [1274, 4972], [7960, 9738], [1079, 8668], [5315, 5426], [917, 9838], [9852, 10248], [6372, 10770], [3404, 9777], [2325, 10501], [228, 5829], [915, 5978], [73, 5891], [5768, 6310], [2129, 3392], [10181, 10874], [907, 3084], [7350, 10344], [2682, 4507], [655, 7744], [880, 10306], [648, 11491], [2047, 3767], [3676, 6119], [1985, 2889], [4908, 6391], [219, 8345], [5922, 9379], [2299, 4742], [2121, 5379], [5228, 11442], [5730, 6176], [2772, 10035], [272, 11362], [1829, 4978], [3128, 7226], [5189, 9235], [7090, 9077], [1362, 6266], [10763, 11579], [1510, 6164], [5902, 8353], [2046, 6898], [5361, 6494], [454, 1395], [2152, 7324], [1938, 8304], [6673, 6695], [4988, 11581], [5420, 7074], [5304, 9343], [3367, 7592], [1324, 10296], [9132, 9504], [4113, 10600], [1348, 8438], [970, 2628], [4421, 9255], [3860, 10908], [7824, 9422], [4739, 7844], [1311, 8556], [4365, 9323], [3181, 7587], [2982, 9629], [5910, 11223], [3630, 8352], [1341, 7617], [4512, 8969], [9455, 10315], [680, 5656], [1554, 2248], [4999, 8306], [6766, 9868], [3594, 8291], [3812, 9682], [8258, 8724], [6508, 8297], [2707, 10713], [6449, 11100], [1396, 10333], [3139, 3173], [8, 8767], [1529, 9896], [4444, 6367], [4080, 5124], [9272, 11338], [5903, 9247], [8148, 9653], [3480, 3816], [1446, 10046], [8550, 11353], [393, 1411], [4226, 7578], [1702, 2095], [5021, 5597], [4131, 8472], [4038, 8281], [3971, 7059], [2952, 7080], [3807, 11566], [6957, 7877], [1067, 10400], [700, 8886], [6507, 10300], [4171, 9749], [8688, 10132], [7845, 8689], [1780, 6485], [3542, 9955], [7618, 9464], [3015, 7028], [3643, 4345], [4818, 10499], [4570, 10397], [243, 1443], [10075, 11446], [1465, 4380], [9431, 11344], [185, 684], [2705, 3015], [2975, 4596], [3040, 4991], [540, 4066], [4089, 10474], [887, 1141], [6958, 11461], [1908, 7582], [6708, 10532], [5407, 8211], [7507, 10922], [1031, 3522], [946, 11520], [1851, 7425], [822, 9764], [1749, 9400], [4426, 10217], [4680, 11265], [3204, 9909], [9212, 10825], [10404, 10924], [7159, 11343], [2656, 5351], [10617, 11217], [4982, 10849], [2585, 6639], [190, 3256], [219, 8158], [317, 5283], [1394, 8650], [6760, 10291], [1963, 11022], [4234, 10397], [6971, 8259], [2666, 9452], [964, 6033], [6833, 8325], [7968, 9388], [6487, 7688], [8238, 10969], [3477, 11357], [4256, 11095], [2661, 5321], [2011, 7656], [9750, 10477], [1419, 3580], [1655, 6331], [4020, 11003], [3552, 9437], [1069, 5453], [1747, 9303], [7882, 9994], [2748, 4135], [1621, 7097], [1363, 2143], [4322, 8308], [158, 284], [1119, 11582], [3576, 7929], [7584, 8243], [4633, 6857], [7155, 10015], [3819, 3900], [209, 5884], [3760, 6703], [2345, 9006], [4566, 9018], [5775, 7586], [3960, 6764], [4159, 10357], [2223, 5044], [607, 7061], [3098, 4490], [3528, 9736], [1622, 3134], [906, 2964], [9216, 9738], [6948, 7628], [5821, 7180], [8221, 8655], [260, 6953], [1430, 6347], [1378, 6157], [1309, 8272], [4519, 11050], [1467, 2442], [5269, 10050], [6607, 10718], [1151, 10315], [5070, 5676], [3885, 7879], [6130, 8285], [6443, 6530], [4904, 10487], [7084, 10498], [7700, 8552], [1974, 5814], [6428, 8881], [485, 4196], [1443, 6528], [2064, 2674], [5603, 11400], [100, 10397], [418, 8986], [1970, 9428], [292, 10567], [3795, 3798], [2781, 11333], [1830, 6415], [7647, 8517], [3877, 9465], [3859, 8105], [5215, 10887], [3160, 3408], [739, 1056], [5744, 7444], [8691, 9088], [2185, 9393], [2417, 2546], [3623, 8767], [37, 2477], [1845, 6292], [1747, 3505], [6755, 9410], [915, 5604], [601, 7888], [4338, 7177], [948, 11379], [2459, 4650], [461, 11291], [2059, 7160], [1997, 10446], [3805, 10097], [2078, 4958], [568, 8879], [4066, 8182], [9203, 9771], [3478, 4225], [3999, 9589], [2223, 8695], [4105, 4323], [7150, 9508], [10727, 11548], [5118, 10149], [9980, 10567], [422, 4516], [6358, 8030], [3815, 4749], [1289, 4101], [4776, 9631], [2880, 3717], [2682, 9394], [1290, 1293], [1377, 9583], [5919, 8333], [1812, 3095], [1934, 4024], [1151, 7550], [660, 4280], [2556, 3778], [7721, 8169], [2143, 6083], [597, 3177], [1987, 11205], [8745, 11121], [7589, 9181], [3541, 10939], [4969, 8871], [153, 3136], [5249, 11140], [8991, 11527], [3069, 5467], [2019, 10339], [2200, 2803], [140, 1396], [5986, 8400], [5961, 10787], [2408, 6889], [3600, 8486], [3622, 9965], [411, 9214], [4431, 5381], [5014, 5207], [10683, 10821], [5366, 9796], [3711, 6223], [7878, 11512], [373, 9861], [6066, 10207], [5331, 10741], [350, 8911], [3022, 8630], [1026, 11180], [4197, 8368], [2141, 4451], [2705, 6479], [8742, 10799], [3206, 8158], [5477, 6779], [2335, 4667], [3541, 3718], [5153, 10627], [2238, 4734], [294, 7474], [182, 817], [1639, 3651], [2762, 7363], [8209, 10686], [4646, 6100], [3097, 10093], [4315, 10659], [3164, 4899], [573, 3856], [3219, 4606], [915, 9255], [1132, 1376], [4831, 5099], [2157, 8717], [846, 4954], [822, 10195], [3246, 9812], [60, 1012], [2038, 3518], [6663, 10439], [789, 1387], [1214, 7043], [1682, 2193], [3485, 5664], [2380, 7419], [6707, 10711], [10277, 11580], [7882, 8197], [8472, 11446], [5234, 6620], [4330, 7153], [10154, 10426], [2590, 11578], [1874, 5746], [8209, 9531], [3164, 10160], [8836, 9629], [11103, 11514], [1886, 5756], [1452, 3020], [6704, 9285], [4467, 9494], [202, 10463], [5990, 7663], [759, 11320], [5833, 9931], [2631, 7014], [7882, 10425], [2443, 6963], [5886, 6559], [2837, 11054], [2506, 11449], [634, 10093], [7255, 7294], [5326, 5404], [5978, 6498], [7070, 10897], [6196, 7889], [2177, 2498], [3536, 4797], [5165, 7149], [1832, 11131], [7861, 11426], [7129, 11477], [8213, 9599], [3082, 10454], [9121, 11437], [5028, 10069], [2481, 8544], [6984, 8120], [3379, 4032], [8826, 10765], [550, 9991], [10003, 11330], [9261, 10693], [5868, 8208], [4653, 4907], [9169, 11104], [2189, 5891], [2808, 8380], [9284, 9364], [4552, 10490], [2349, 7277], [4491, 10214], [3218, 3525], [6263, 7956], [5080, 7576], [1985, 4556], [5479, 7093], [6981, 7418], [658, 1014], [5819, 11298], [766, 7148], [1203, 3739], [10010, 10565], [7178, 7181], [3999, 8597], [6984, 7315], [5458, 11477], [329, 1081], [1452, 11209], [1416, 5136], [9533, 11515], [7045, 7187], [1437, 2980], [2717, 4424], [6486, 8886], [103, 1677], [3516, 4814], [35, 984], [4104, 5738], [1609, 10819], [1464, 8186], [812, 4059], [31, 3494], [8396, 9975], [7496, 7998], [3200, 4019], [1897, 5035], [3798, 4877], [2508, 2745], [3328, 8900], [2423, 10743], [6406, 10061], [140, 3437], [57, 8098], [5129, 9292], [3410, 11184], [3066, 4204], [1885, 6903], [2131, 10342], [10795, 11198], [1583, 5784], [3541, 6914], [2297, 5127], [4064, 6689], [2296, 11318], [4242, 10933], [2098, 11333], [4651, 9640], [1868, 5394], [847, 5342], [7262, 8302], [3735, 9789], [3761, 4594], [3358, 9839], [5096, 6499], [7495, 10001], [3414, 3732], [251, 7159], [2400, 4851], [334, 2498], [2773, 10317], [6283, 11135], [4168, 5857], [978, 10147], [2297, 7355], [4308, 5113], [1661, 6390], [1294, 11292], [6373, 10247], [4876, 8014], [3527, 7931], [3724, 8445], [3287, 8444], [670, 6180], [6671, 10089], [1227, 7037], [9506, 11492], [2617, 8649], [4141, 6289], [5660, 10755], [1532, 4640], [6576, 10202], [2342, 3691], [5351, 6213], [3792, 5354], [6912, 9370], [1242, 7695], [6470, 10156], [1420, 5523], [4343, 9779], [4102, 10848], [2827, 3332], [1273, 6227], [919, 4948], [6046, 6603], [7890, 10075], [5328, 9770], [1966, 3188], [565, 7833], [1028, 2639], [475, 11323], [3894, 5607], [10683, 11252], [3212, 11437], [3522, 3749], [7410, 9623], [1782, 4010], [466, 657], [7069, 10084], [7160, 9448], [3853, 8989], [7061, 8688], [5965, 6799], [958, 3748], [712, 1063], [1018, 4553], [4756, 7450], [564, 10210], [6407, 11281], [5684, 10694], [3905, 5365], [9381, 11338], [3694, 8528], [1078, 4954], [5928, 8021], [3208, 4124], [5582, 7384], [721, 9820], [7039, 10218], [2462, 5997], [10689, 11016], [379, 10056], [6726, 8940], [224, 6735], [6135, 7718], [944, 2860], [5049, 7271], [8024, 10963], [9302, 11580], [6719, 11152], [2951, 9544], [6657, 10274], [1332, 1464], [4793, 6527], [4915, 7456], [3793, 4346], [7251, 11390], [8299, 9855], [112, 7618], [8121, 11246], [831, 7305], [1480, 5499], [1051, 3107], [6460, 9356], [3998, 11167], [326, 5857], [3039, 5577], [3006, 9601], [1167, 4221], [2655, 8620], [8886, 9773], [6914, 10465], [6234, 10706], [1820, 8169], [2679, 3729], [6080, 10239], [4246, 5203], [817, 3061], [5643, 7232], [2650, 8626], [7316, 11384], [2490, 4207], [10029, 11104], [7345, 9870], [6506, 9300], [6590, 7493], [1115, 9292], [2861, 5813], [2768, 9786], [4158, 10644], [10424, 10852], [10517, 11043], [2573, 8564], [2509, 4607], [2607, 5896], [3362, 6738], [2001, 10058], [3196, 8920], [10386, 11499], [949, 8441], [4164, 11563], [2592, 3329], [3619, 7333], [1501, 8954], [1318, 9247], [9356, 11361], [4621, 6554], [6360, 8320], [5018, 10162], [6040, 6652], [2619, 11541], [64, 3739], [528, 8569], [414, 7501], [3514, 10141], [4957, 9105], [5387, 7935], [6316, 9152], [4414, 11337], [4075, 4701], [8299, 11278], [6748, 8028], [420, 526], [2285, 5629], [4218, 4228], [5095, 10917], [1826, 10942], [6859, 8798], [704, 10084], [5439, 8475], [1762, 9237], [5558, 6477], [2345, 2647], [479, 10905], [2719, 4551], [2753, 7545], [10156, 11171], [502, 9576], [1120, 2041], [7102, 8152], [7702, 10591], [68, 6840], [4894, 10230], [1522, 9376], [1274, 11526], [8337, 9826], [9462, 10201], [3987, 4830], [5945, 5960], [1991, 8134], [2744, 5897], [3014, 7478], [743, 2441], [3850, 7750], [3571, 9089], [7924, 10596], [3289, 3741], [7003, 8496], [4071, 7160], [420, 6137], [3663, 4891], [241, 4674], [7023, 9148], [803, 10039], [2916, 8074], [1639, 10311], [6088, 8116], [3748, 4440], [3319, 8464], [2543, 2581], [1235, 8915], [7675, 10242], [1450, 10789], [5988, 7885], [1005, 9392], [1385, 9613], [9320, 10094], [4621, 4944], [192, 10043], [2876, 4861], [249, 4161], [3647, 4738], [4273, 7644], [6100, 11509], [4455, 9378], [742, 1061], [2400, 8315], [719, 10691], [1151, 6184], [3143, 6144], [4175, 10492], [1923, 2499], [10742, 10840], [3362, 10389], [5315, 11175], [5103, 6566], [2367, 9306], [4757, 5929], [968, 10614], [5189, 6340], [7649, 7866], [4975, 11484], [4003, 7941], [5434, 9554], [1485, 5656], [6373, 7295], [2512, 3244], [1603, 3433], [4748, 5816], [990, 4896], [8888, 10413], [8384, 8436], [6918, 7768], [483, 6785], [1787, 2207], [4340, 4678], [4159, 8804], [3146, 8670], [606, 4906], [1941, 6057], [157, 6800], [5511, 7680], [3712, 10744], [3805, 6771], [5037, 5545], [1432, 7873], [1220, 3264], [2529, 10364], [5172, 5181], [4857, 6109], [414, 5086], [930, 10106], [7964, 8385], [922, 2294], [3700, 9579], [519, 5287], [4557, 8476], [4844, 7752], [701, 7021], [4818, 6531], [5007, 9436], [1292, 10872], [2016, 10903], [175, 4696], [1295, 4727], [1097, 3988], [629, 2422], [1260, 9055], [73, 1386], [3892, 5211], [2149, 5955], [1691, 11493], [1228, 3101], [2811, 5108], [2814, 8789], [3769, 10473], [1503, 5780], [3916, 6736], [461, 10543], [5796, 6455], [7038, 11579], [1271, 3178], [6747, 11403], [2203, 9574], [5821, 8205], [4749, 10874], [4348, 10530], [2606, 3548], [83, 7335], [2323, 5145], [1483, 3219], [1319, 8480], [4498, 9693], [4400, 6906], [4119, 10828], [7575, 10629], [6456, 7790], [1566, 5324], [5234, 7482], [7042, 11297], [1504, 7829], [7836, 11343], [2053, 8825], [5573, 10331], [243, 8347], [934, 5232], [1371, 5987], [2829, 5259], [6595, 10204], [1550, 10833], [146, 7633], [10457, 11447], [705, 9317], [1163, 3779], [1180, 5638], [2413, 3102], [4406, 5916], [8938, 10394], [4182, 11126], [3779, 9201], [5057, 10572], [190, 3394], [1905, 11182], [6702, 7041], [2971, 7944], [2501, 5551], [4235, 6973], [3581, 6183], [3591, 6871], [2710, 9108], [3959, 4823], [3016, 10346], [3895, 7282], [2802, 5664], [4832, 8360], [785, 7337], [6778, 7975], [8521, 11395], [7899, 8608], [2171, 5797], [2365, 6040], [3948, 8047], [204, 6833], [714, 5592], [9353, 11144], [5557, 7488], [6279, 10856], [6078, 6436], [5162, 10342], [4310, 5403], [3219, 10274], [4704, 8740], [3496, 6610], [1257, 5992], [9598, 11325], [2621, 6383], [8288, 11170], [217, 1002], [5428, 5738], [10655, 11007], [5863, 11328], [8067, 9481], [7170, 11185], [5539, 6508], [3514, 4156], [2990, 10572], [750, 4848], [713, 11382], [4789, 10891], [4440, 10737], [9529, 9626], [5463, 10081], [7925, 9024], [1882, 4889], [5192, 9029], [3535, 4629], [4218, 4659], [1293, 4494], [7234, 8352], [1358, 9053], [6588, 7423], [459, 10684], [984, 6368], [1856, 7051], [1935, 4900], [5928, 9070], [6583, 10462], [2727, 9007], [8073, 9272], [5053, 8089], [4148, 9932], [1536, 3848], [1102, 7528], [37, 7958], [4995, 8084], [389, 5377], [3770, 10511], [4613, 5538], [5136, 6811], [4699, 10974], [215, 9950], [2271, 7451], [9996, 10566], [4834, 10610], [6410, 10692], [7124, 10035], [9457, 10288], [5922, 11103], [685, 5146], [57, 5577], [226, 10459], [58, 2015], [4077, 5154], [1556, 5604], [2509, 6461], [8828, 9713], [9260, 10124], [6216, 7793], [5431, 10492], [1479, 6323], [1420, 4962], [2750, 6523], [4558, 10338], [5711, 6345], [5158, 8613], [8725, 9965], [43, 7749], [1753, 4613], [10500, 11388], [1916, 6297], [7704, 9913], [1880, 4388], [9316, 9652], [1224, 5023], [8445, 10325], [4278, 5036], [984, 8946], [728, 4819], [6793, 7023], [4618, 8110], [878, 2134], [136, 743], [3520, 5394], [8573, 9544], [233, 10475], [686, 5347], [2714, 7216], [8400, 9801], [1994, 8058], [5166, 8100], [715, 7216], [159, 5049], [9649, 9653], [4162, 9183], [1550, 7263], [8623, 9257], [10104, 10233], [240, 7108], [10895, 11486], [458, 8499], [4720, 4980], [7739, 8190], [3040, 5292], [4341, 8367], [493, 10937], [3222, 11190], [211, 5589], [3602, 4995], [8118, 10438], [1074, 7684], [5024, 11026], [695, 11071], [7079, 9056], [7015, 11515], [702, 5045], [3744, 10713], [6615, 7609], [4077, 9610], [2272, 5312], [2365, 5503], [5508, 7059], [4858, 7142], [496, 7047], [1303, 2417], [1640, 5220], [2204, 7248], [5652, 7188], [3004, 5611], [6646, 8800], [4689, 11278], [9202, 10788], [1287, 10959], [1237, 5180], [7080, 8503], [912, 5420], [7892, 10633], [263, 810], [5221, 11516], [176, 7981], [2934, 7474], [1201, 2490], [5183, 7999], [2936, 7520], [2523, 9071], [7261, 7733], [6323, 9436], [8377, 10274], [7692, 10171], [4144, 10781], [1941, 9066], [85, 1827], [874, 6417], [5299, 6080], [3448, 5601], [657, 1464], [6006, 8416], [3071, 3399], [9612, 11194], [829, 2510], [2831, 9574], [3022, 6890], [2358, 7664], [1298, 7684], [3421, 10571], [4575, 10186], [1552, 8732], [3577, 11084], [1201, 1335], [8518, 9351], [244, 2988], [4468, 4647], [765, 1936], [556, 10430], [7371, 10880], [802, 7453], [3104, 5387], [891, 10154], [550, 9861], [4505, 11295], [3416, 6413], [6668, 8693], [3782, 8456], [5466, 10515], [2037, 8373], [3897, 9345], [3733, 10442], [2222, 10755], [99, 5616], [10792, 11252], [1523, 6058], [2043, 2152], [3259, 8307], [3352, 4334], [6125, 11275], [4633, 9386], [2047, 8687], [9364, 10287], [1833, 10421], [1391, 2906], [3290, 6839], [769, 7289], [3449, 4617], [3289, 7368], [3196, 10587], [9507, 9814], [6160, 10680], [831, 11550], [1757, 5299], [7641, 8623], [8128, 8741], [1254, 10340], [2035, 10905], [690, 1896], [9005, 9014], [502, 2599], [8786, 9650], [404, 2064], [2864, 3590], [3712, 5377], [5740, 11410], [2091, 7804], [4085, 8591], [7997, 8443], [722, 10452], [8093, 8905], [7344, 11261], [4789, 5711], [892, 2003], [4231, 11045], [2648, 5628], [7493, 8351], [2916, 4130], [340, 4873], [1422, 7830], [3414, 7790], [3783, 9350], [5118, 11255], [2790, 4930], [4383, 11035], [1632, 2163], [6862, 11113], [9225, 9296], [4901, 9685], [4053, 7898], [782, 7096], [4897, 5779], [4106, 5280], [6861, 10861], [975, 10874], [101, 7866], [1658, 3734], [3960, 8838], [8786, 8845], [3457, 10469], [3832, 9592], [7070, 8002], [3419, 6979], [57, 6813], [2052, 10454], [7248, 9994], [1842, 3262], [6841, 11333], [807, 9196], [494, 4535], [1797, 6902], [1071, 6044], [6339, 7150], [2051, 10202], [931, 3755], [55, 10500], [1330, 7436], [1196, 4992], [3940, 6277], [265, 1450], [1259, 3062], [326, 5109], [7488, 9050], [3531, 5291], [5241, 8571], [5762, 7519], [8036, 10575], [1969, 7544], [8810, 9969], [1692, 2540], [4362, 8602], [2115, 7369], [3520, 10013], [3026, 7226], [5765, 8167], [1488, 4238], [3528, 7622], [4015, 7740], [436, 9037], [1489, 7846], [687, 6404], [498, 3499], [6103, 8162], [5036, 7011], [683, 2498], [4387, 6565], [1933, 8237], [3726, 4604], [7620, 8014], [9856, 10586], [1981, 7904], [4811, 11215], [4467, 11405], [8866, 9847], [5714, 10457], [9009, 10155], [2350, 9464], [5748, 10041], [4972, 9820], [607, 10208], [990, 9946], [8540, 10616], [7917, 11391], [4240, 9147], [10690, 11162], [3591, 10953], [3799, 5240], [951, 6985], [9005, 9632], [2593, 3156], [1459, 4947], [2334, 10809], [4175, 11354], [5546, 7998], [7726, 8009], [6501, 10436], [5043, 7377], [6970, 9194], [3391, 10491], [5848, 6084], [5199, 7890], [5068, 9127], [6499, 10740], [10158, 10900], [5488, 10652], [3972, 6457], [835, 1683], [8168, 10986], [849, 5553], [148, 11333], [5965, 7019], [3682, 6883], [2627, 7247], [356, 5620], [3680, 10220], [3556, 7710], [734, 11430], [3304, 10872], [4236, 10852], [7006, 7696], [471, 9515], [2737, 8546], [2551, 5158], [1253, 6518], [3987, 7115], [436, 4044], [840, 4659], [7376, 9858], [4982, 5165], [5536, 6505], [2143, 4774], [2242, 11169], [3515, 5026], [1519, 7576], [1111, 6061], [1804, 4527], [1991, 10769], [1766, 1791], [3559, 4574], [4725, 11366], [611, 9121], [5246, 10314], [7150, 10427], [6338, 8297], [9159, 11522], [7739, 11199], [12, 7257], [1419, 10728], [6044, 11233], [2012, 11242], [665, 6324], [2714, 9070], [408, 10640], [2223, 9964], [1406, 3326], [1694, 9620], [8965, 10875], [4574, 10042], [7507, 7816], [7598, 7934], [5879, 9072], [3701, 4226], [249, 6796], [4051, 7234], [6157, 8262], [1556, 6653], [1148, 11554], [3206, 3466], [9635, 10296], [732, 6391], [799, 1197], [5721, 8082], [2006, 3856], [3318, 10473], [6709, 9879], [8949, 9187], [769, 8875], [253, 9547], [10091, 10697], [9755, 11502], [8132, 10096], [3020, 9503], [6263, 8257], [5989, 9940], [4184, 9052], [4681, 9858], [6324, 9664], [1959, 5888], [6322, 8837], [7196, 9593], [9219, 11118], [7595, 9864], [8369, 8504], [7180, 10588], [1490, 4097], [2398, 10099], [10195, 10646], [9768, 11333], [272, 6914], [430, 8254], [513, 3593], [2109, 9215], [8140, 10337], [5435, 8226], [7890, 9408], [261, 6001], [1582, 4036], [537, 5118], [8725, 10209], [1603, 8296], [1632, 6782], [6052, 10265], [290, 1454], [1232, 9292], [917, 1552], [9067, 10323], [9280, 11370], [7015, 9531], [3746, 5392], [4859, 7662], [6196, 6230], [2311, 4037], [3983, 10997], [3522, 9848], [244, 7875], [1405, 1491], [1577, 2537], [995, 9729], [2425, 4324], [675, 3897], [685, 4585], [5905, 8683], [9267, 9603], [4974, 5141], [5507, 5604], [7716, 10517], [5785, 11210], [7901, 9516], [1115, 1136], [3405, 11141], [9077, 9856], [6902, 10943], [3874, 9899], [1598, 3764], [4259, 9710], [3100, 4089], [5246, 7899], [8485, 9163], [3597, 8278], [1138, 8852], [1482, 9416], [1348, 6218], [453, 8749], [4992, 10234], [1224, 10878], [3344, 3668], [238, 6875], [35, 6546], [2631, 7933], [3023, 10443], [4045, 7687], [4244, 9028], [8628, 8690], [502, 2225], [1623, 11526], [4832, 5034], [2831, 7240], [1411, 7671], [1525, 2323], [1098, 3010], [3143, 6014], [1871, 8595], [273, 5556], [2298, 7908], [687, 11023], [4111, 6405], [2552, 4792], [5076, 8777], [3822, 6302], [243, 7599], [1642, 6291], [4699, 6575], [1017, 6239], [272, 1921], [4043, 7210], [3950, 4767], [2513, 9001], [4841, 8910], [2671, 10341], [2822, 9756], [2411, 8724], [6440, 8387], [4914, 7668], [1424, 7502], [2313, 11572], [3226, 11502], [1375, 3853], [3349, 9623], [4581, 9895], [1439, 5531], [694, 4623], [2684, 10172], [7689, 10144], [5020, 9942], [5827, 9476], [8246, 11001], [5693, 7032], [4106, 8289], [1251, 8863], [11053, 11110], [3615, 4265], [3295, 4849], [4234, 6754], [2955, 5912], [3760, 3865], [6124, 6437], [1860, 6877], [5411, 10702], [8859, 9888], [2228, 5583], [645, 3576], [6307, 8773], [10785, 11480], [5209, 6057], [6771, 7187], [2944, 10634], [5031, 7448], [3682, 8119], [2295, 3772], [4037, 9219], [2091, 5470], [2311, 7688], [4439, 6755], [3336, 10111], [5275, 11191], [1839, 7878], [1932, 4659], [6042, 9414], [6634, 7074], [1539, 8340], [164, 7036], [790, 9942], [6315, 8260], [4926, 10256], [2519, 11020], [6629, 10113], [6319, 11385], [1715, 3089], [908, 1303], [273, 6979], [1405, 2109], [226, 717], [4038, 8289], [9466, 11562], [7685, 9570], [488, 1656], [2552, 9598], [9577, 11578], [240, 11353], [4691, 10739], [5582, 10718], [2066, 9331], [5111, 8100], [4591, 9754], [3846, 5436], [1718, 5615], [4916, 5380], [4174, 10405], [4358, 6550], [1180, 1775], [782, 5112], [5675, 7095], [2750, 6930], [5637, 10775], [7533, 10273], [1929, 9218], [6853, 10514], [2643, 8561], [4389, 11498], [6936, 9236], [8082, 8236], [597, 8715], [181, 6585], [5623, 9564], [10547, 10860], [2044, 10861], [337, 7098], [1395, 6251], [2241, 4959], [3361, 4990], [1422, 8074], [5864, 9626], [1422, 11457], [2625, 6827], [286, 6759], [979, 10887], [6020, 7106], [2370, 3275], [420, 6170], [2120, 8762], [4372, 10339], [2901, 2911], [528, 9675], [3745, 7208], [8156, 8693], [7122, 8436], [6507, 6820], [9394, 10665], [655, 7915], [4542, 5273], [3448, 6463], [9087, 9956], [7399, 10407], [2576, 9917], [4004, 7095], [2224, 8711], [3698, 6988], [2602, 8105], [7619, 9592], [4095, 10596], [1175, 10775], [8692, 9053], [8007, 8950], [1874, 7551], [7794, 11286], [258, 3906], [2714, 8696], [6102, 7831], [6163, 11490], [5074, 6608], [807, 8285], [1243, 11067], [5262, 10042], [4049, 6814], [432, 5375], [4170, 9026], [10294, 11056], [112, 2926], [3291, 4139], [5810, 7780], [2945, 7666], [6048, 9823], [5313, 10357], [4910, 9186], [5156, 6209], [636, 8938], [6856, 8801], [4815, 5916], [2809, 7778], [1386, 3774], [4459, 4591], [5491, 8185], [6200, 7184], [1138, 10088], [3058, 8482], [2127, 11356], [5298, 8544], [3899, 9098], [6397, 7698], [2312, 3939], [2212, 6741], [6446, 6836], [8846, 9065], [995, 6777], [4444, 9571], [1426, 2799], [2401, 6613], [278, 720], [8433, 9835], [1122, 5771], [3603, 8174], [3738, 7810], [11174, 11576], [4538, 6173], [2456, 3287], [7144, 7524], [5750, 9176], [4468, 10315], [361, 9241], [3454, 11434], [2202, 3370], [636, 11166], [2260, 6758], [3903, 8816], [228, 3235], [5993, 11563], [9852, 11037], [4124, 7472], [5061, 8550], [4892, 6297], [8503, 10173], [4093, 5126], [1070, 8590], [383, 7660], [572, 3395], [3108, 10423], [3402, 4454], [1592, 3976], [530, 3923], [2159, 5521], [4105, 5136], [5877, 7042], [7707, 8926], [399, 1373], [5058, 7124], [4339, 7410], [483, 10119], [5927, 6755], [3998, 11281], [77, 2261], [1109, 6609], [6214, 6785], [2415, 3612], [2468, 2492], [301, 7604], [2761, 9884], [3054, 5999], [7258, 10389], [5831, 7397], [134, 6151], [4666, 9875], [5139, 6123], [1066, 10295], [5429, 9080], [3948, 7380], [5675, 6103], [3743, 3942], [30, 9211], [4388, 7652], [427, 5649], [1645, 2051], [3520, 7842], [5812, 8094], [347, 3411], [930, 10407], [897, 8015], [57, 3837], [2426, 5999], [6965, 7484], [3487, 8833], [5189, 5836], [79, 1152], [1393, 8596], [9390, 9955], [2594, 7303], [799, 7857], [4319, 9363], [2915, 6163], [4690, 7586], [1235, 10639], [7952, 8302], [1131, 9535], [7896, 11376], [6081, 9800], [7428, 9056], [856, 4577], [4641, 7320], [3514, 6872], [4076, 8073], [8996, 9627], [1083, 6461], [3981, 5934], [8704, 9226], [460, 6455], [1017, 11476], [1853, 5332], [2009, 5845], [5180, 7197], [142, 4833], [367, 7395], [1328, 6615], [1228, 8663], [4865, 11508], [4202, 6468], [3646, 4301], [543, 5527], [727, 8088], [5008, 8029], [6919, 9313], [7003, 8260], [6982, 7383], [6295, 10617], [9378, 11368], [5347, 10878], [4865, 5442], [8179, 8600], [462, 9510], [3144, 9917], [1619, 6390], [1116, 11431], [3849, 8393], [234, 10033], [9327, 11029], [5958, 8938], [5741, 11155], [6307, 7594], [732, 11441], [2850, 9820], [4099, 6289], [2504, 9183], [634, 4490], [9441, 11316], [1225, 8341], [6359, 7003], [2222, 3054], [78, 3454], [513, 9798], [6490, 9149], [2156, 2434], [2937, 2999], [9812, 10670], [970, 4035], [8509, 10932], [3554, 3907], [218, 2710], [1747, 7864], [6351, 8990], [5222, 5463], [3329, 8892], [1403, 6519], [4579, 8215], [2108, 8028], [9927, 10778], [4010, 9226], [1854, 10363], [2914, 3173], [765, 3229], [2669, 9758], [2631, 7022], [148, 7202], [1491, 8968], [6866, 10725], [2884, 8599], [7201, 10449], [2443, 3938], [3336, 4744], [8498, 8837], [2405, 11001], [1146, 1766], [6331, 7533], [7687, 9561], [1025, 10107], [6788, 8940], [3770, 8584], [988, 3809], [4017, 8461], [991, 1074], [4419, 10161], [6876, 8006], [8214, 9428], [3348, 11520], [8463, 10132], [2849, 8389], [366, 4405], [864, 8819], [520, 2593], [8393, 8612], [5153, 9375], [4680, 6711], [1173, 3158], [2100, 9964], [1136, 10446], [5388, 5485], [3151, 4940], [2344, 3908], [1473, 6833], [1476, 10514], [5237, 10951], [1407, 8465], [5703, 10192], [1246, 10991], [7388, 8689], [2235, 5843], [2887, 3554], [218, 7516], [4576, 5957], [4170, 5269], [8589, 10779], [456, 3143], [11018, 11494], [3237, 10699], [2012, 5956], [2700, 10494], [2861, 4935], [9213, 10579], [294, 8450], [7171, 10532], [3036, 3246], [2881, 5587], [2440, 5844], [2968, 8215], [979, 5520], [4246, 9586], [2100, 9159], [7296, 7945], [6802, 11574], [7363, 9921], [1537, 9985], [4390, 5578], [1693, 8246], [755, 3533], [1027, 1777], [1441, 6490], [3798, 11301], [4835, 9577], [3359, 8221], [2619, 4247], [1705, 8256], [189, 1809], [2556, 3144], [2611, 7015], [9828, 11417], [3914, 9382], [8299, 10400], [713, 3657], [8123, 8454], [3696, 7210], [4909, 8186], [7056, 11467], [4723, 4798], [4100, 5573], [1016, 11013], [1752, 7671], [329, 3667], [7477, 10184], [2635, 4726], [6, 947], [4142, 7677], [2059, 10982], [4583, 8551], [311, 4966], [5166, 10629], [2435, 7297], [2769, 6419], [656, 1968], [2870, 11389], [3546, 9494], [2739, 7708], [4358, 9372], [779, 10669], [528, 6886], [6102, 9230], [648, 5490], [1238, 2323], [745, 8052], [2703, 9182], [8948, 10041], [359, 4606], [6678, 7104], [9150, 10899], [7643, 7978], [201, 6649], [6826, 11139], [2698, 5024], [5174, 7083], [2154, 10064], [2099, 3941], [5947, 7006], [5738, 6832], [2276, 8714], [4198, 7181], [4297, 7160], [7913, 9128], [1032, 3894], [722, 9330], [6094, 10816], [3141, 10855], [3050, 9239], [1081, 3032], [3730, 5965], [603, 10577], [5678, 11288], [321, 10110], [6291, 6792], [8591, 11069], [2779, 2895], [4917, 9096], [5297, 8563], [6696, 8009], [9901, 10443], [3337, 7360], [935, 9222], [4266, 7823], [2614, 10937], [5573, 7680], [7479, 8620], [2126, 11348], [1459, 5435], [5293, 8794], [374, 1426], [5671, 7434], [4785, 9327], [6789, 10802], [8774, 9591], [369, 10881], [8648, 11172], [2146, 8967], [964, 8058], [5902, 6808], [2631, 8258], [1602, 7591], [4501, 6535], [3169, 9065], [4413, 4436], [1951, 6247], [5039, 7342], [8614, 9309], [1919, 6709], [1420, 5076], [1974, 6416], [5764, 10257], [1471, 5795], [7926, 8154], [1412, 4434], [5108, 8640], [3125, 9143], [4, 7908], [2564, 6632], [1563, 2351], [1497, 3983], [944, 6251], [1312, 1951], [2430, 7571], [68, 164], [6268, 7666], [3493, 4816], [874, 8141], [8965, 9135], [3301, 8029], [6621, 7969], [963, 10815], [1354, 4055], [1121, 11401], [3414, 8091], [300, 1611], [5440, 7635], [724, 7042], [333, 7386], [2537, 11201], [3191, 5575], [3160, 4010], [6981, 8662], [1327, 1828], [3371, 8394], [2042, 4025], [3055, 3435], [2093, 4744], [164, 8516], [909, 3008], [5642, 6988], [2063, 8285], [1781, 9353], [1405, 10005], [1566, 10862], [3765, 8671], [10368, 10928], [809, 2777], [5000, 6208], [2357, 4975], [4315, 6105], [5254, 9508], [5567, 7753], [3112, 10735], [5345, 9626], [5386, 9627], [1518, 10821], [1146, 8963], [2328, 3456], [4846, 9124], [6733, 11542], [5776, 9031], [855, 5000], [9545, 11241], [6126, 9787], [2324, 2933], [3750, 6454], [6396, 11368], [2105, 4323], [5706, 10921], [2168, 8055], [6146, 11193], [4372, 6208], [2149, 3117], [7329, 8540], [8125, 9413], [1124, 6329], [5355, 6907], [1994, 9595], [7255, 7278], [4230, 5751], [3949, 9673], [1928, 3683], [3142, 8641], [5752, 6728], [4599, 11475], [1951, 9898], [4263, 11526], [3268, 10443], [1900, 6146], [1726, 10719], [7524, 8607], [492, 3204], [5584, 8056], [2470, 4986], [644, 10391], [9257, 9804], [3624, 3847], [1330, 6932], [565, 1238], [731, 8855], [503, 9405], [912, 8112], [881, 2383], [1003, 1060], [5729, 11039], [4647, 10711], [3704, 5654], [1951, 5710], [6415, 10963], [5075, 7216], [1582, 9785], [6569, 8397], [2083, 4294], [710, 10206], [4433, 5655], [4964, 5291], [9852, 11094], [9069, 9702], [4091, 11553], [3613, 8545], [10305, 10847], [594, 2302], [5798, 5867], [2465, 10603], [8041, 9610], [3963, 9274], [6014, 6431], [4142, 11491], [847, 6131], [5542, 7375], [2025, 9550], [4386, 5435], [4165, 9408], [5264, 8562], [1331, 5197], [3759, 7939], [2971, 3951], [2984, 9074], [1551, 4382], [1172, 7769], [666, 2713], [4678, 11097], [5746, 10938], [10655, 11202], [3930, 5727], [2445, 5009], [7851, 8331], [3503, 4162], [5467, 8490], [8438, 9030], [6770, 10857], [6631, 8069], [163, 4694], [3081, 7852], [1348, 9284], [7377, 9579], [598, 1616], [583, 6219], [1768, 10809], [5166, 7222], [3141, 4870], [799, 10947], [6929, 11294], [2113, 7811], [7612, 11324], [1358, 6215], [4754, 5965], [526, 2652], [206, 7400], [3449, 6154], [5309, 10159], [3721, 4398], [1890, 3043], [9921, 10402], [3407, 5928], [11163, 11362], [487, 6861], [3599, 6098], [7951, 11140], [3493, 9085], [7646, 10504], [6297, 11175], [941, 7216], [6046, 7392], [4621, 6725], [7011, 9764], [3335, 4712], [968, 2596], [7647, 10355], [10298, 11449], [3641, 5169], [3147, 8798], [5038, 7952], [7097, 9134], [3417, 3963], [4449, 7557], [3416, 5990], [4037, 8552], [3596, 4645], [6741, 11192], [2916, 9050], [5614, 9990], [2546, 3855], [421, 4305], [5503, 6187], [4004, 9543], [759, 9962], [1688, 4763], [8790, 10905], [3382, 7510], [725, 8099], [4916, 5868], [5015, 11509], [3303, 7402], [7260, 9663], [8567, 9520], [723, 4239], [3240, 7053], [4787, 6397], [3084, 9923], [4510, 7028], [5188, 10124], [5568, 10345], [7393, 11131], [839, 8736], [357, 8992], [6365, 7656], [4938, 6916], [3203, 7521], [2950, 7075], [7616, 9833], [4008, 6228], [4031, 11315], [6298, 9036], [2119, 6396], [5086, 9416], [4680, 8728], [4525, 11069], [7939, 8015], [5948, 8657], [3018, 3984], [5664, 8898], [7534, 10181], [9492, 11311], [405, 11261], [433, 477], [7786, 8150], [4398, 9015], [6124, 10576], [4792, 5936], [2307, 6043], [4043, 4128], [3144, 9169], [1212, 7762], [4192, 7634], [1528, 5524], [4074, 6824], [304, 4389], [4629, 11018], [4593, 4945], [7588, 10767], [2139, 10781], [6270, 9997], [3037, 5515], [8257, 9613], [5366, 11284], [1019, 9969], [2129, 2896], [1499, 2500], [3157, 9754], [979, 4154], [7508, 11188], [5796, 7081], [2779, 7327], [570, 3168], [1836, 8686], [568, 2341], [1213, 9461], [564, 11267], [5891, 7318], [354, 7485], [595, 4164], [6916, 10495], [3934, 9796], [5207, 10069], [9056, 10353], [3483, 4447], [4561, 9170], [710, 8059], [7191, 9387], [178, 1782], [6872, 10573], [7424, 11086], [7174, 10911], [2392, 10422], [10723, 10903], [3973, 8596], [3035, 3883], [10220, 10282], [3501, 9540], [5813, 11168], [3991, 9175], [670, 9010], [4459, 5079], [597, 9471], [6355, 7960], [2396, 9790], [2996, 5059], [7286, 8469], [5698, 6872], [1488, 4165], [1532, 10853], [2000, 6003], [9899, 10991], [4235, 5721], [597, 9821], [2419, 11090], [3544, 11465], [3143, 11121], [2740, 9950], [10448, 11206], [2762, 5013], [8266, 8870], [559, 10468], [5471, 10249], [6211, 7807], [540, 5530], [7580, 10794], [271, 6803], [237, 1557], [4839, 6774], [4097, 6137], [6456, 7611], [5463, 6601], [3410, 9371], [4613, 4741], [10686, 10970], [5491, 7868], [515, 10546], [5706, 9742], [6205, 7211], [2031, 4161], [1747, 5156], [2500, 2919], [1968, 10228], [8091, 9404], [1088, 8903], [8932, 10020], [1062, 7682], [6320, 8100], [6755, 8028], [1555, 10998], [2988, 10028], [5047, 11210], [8555, 11201], [6915, 8660], [8964, 9908], [3422, 9731], [7398, 11288], [4721, 4809], [8526, 9682], [1888, 9868], [9367, 10298], [9666, 10365], [6648, 10009], [3355, 4722], [2814, 10033], [360, 9453], [425, 9848], [1941, 3463], [2727, 4372], [7730, 10687], [6866, 8367], [5051, 7545], [9469, 10201], [6669, 11236], [6920, 8603], [4337, 11585], [6479, 8106], [5732, 7125], [1160, 10418], [5107, 7073], [5692, 9978], [5609, 8223], [1743, 10244], [9368, 9745], [3045, 3341], [3139, 8638], [10958, 11388], [2923, 7293], [9086, 10032], [10755, 11059], [115, 8467], [9289, 10391], [3600, 6754], [2655, 5034], [6961, 7449], [5063, 11288], [1171, 7170], [1505, 6292], [4557, 6232], [7707, 8959], [6138, 6658], [8235, 11330], [5668, 8429], [7132, 8270], [475, 2744], [7319, 8096], [4469, 9768], [1723, 11066], [3898, 4317], [1907, 7211], [3562, 10784], [4646, 8906], [2065, 8551], [382, 9346], [3682, 9388], [7947, 11048], [3837, 6293], [4332, 10436], [1243, 11368], [1059, 2391], [1303, 5003], [1154, 9044], [8805, 9766], [2260, 10897], [5229, 11334], [3906, 10220], [900, 4963], [1951, 7109], [25, 11152], [300, 6661], [647, 10152], [16, 486], [2445, 6863], [9343, 9822], [9291, 9632], [2386, 9666], [6954, 9637], [6460, 8348], [4834, 10431], [3584, 8075], [41, 4865], [540, 6498], [4141, 8932], [8435, 9832], [5045, 7618], [659, 713], [1804, 2494], [3882, 7890], [34, 10460], [1744, 11488], [1235, 2751], [8049, 10146], [3780, 4580], [3322, 3702], [3623, 6848], [3220, 11339], [4744, 9733], [7235, 11326], [1540, 3737], [5958, 6393], [5736, 8266], [4996, 7702], [8943, 11527], [3026, 5811], [7516, 10033], [761, 7382], [8130, 11424], [3930, 10159], [4985, 9795], [3653, 5155], [4670, 8471], [377, 4009], [4058, 6372], [2332, 11257], [7349, 8580], [3364, 8435], [1459, 11103], [1223, 8352], [7472, 10865], [1772, 2932], [3694, 4405], [4889, 9683], [1682, 6422], [577, 7453], [2990, 9133], [4356, 6187], [2145, 5365], [4970, 7578], [3387, 6325], [8263, 10613], [665, 6519], [702, 11282], [3412, 8075], [5561, 5767], [833, 2131], [5960, 9448], [3694, 4755], [3093, 9261], [4244, 8605], [1671, 8111], [5054, 7656], [2134, 3671], [4804, 6727], [2651, 11545], [6137, 7805], [1560, 10754], [1315, 3753], [1091, 2547], [2703, 8702], [5256, 7009], [4051, 10812], [4827, 11033], [2738, 11140], [3340, 9488], [1336, 1597], [3949, 10535], [687, 1151], [1036, 1305], [2455, 7819], [1889, 9128], [2305, 4842], [1152, 2419], [6377, 6861], [5900, 7461], [10325, 11288], [6115, 9335], [9927, 10461], [4977, 7944], [7489, 10414], [333, 9671], [4414, 9524], [2635, 9857], [5692, 10141], [7273, 9069], [9043, 10148], [1486, 8307], [6365, 9860], [9532, 9558], [2252, 11223], [10276, 10995], [159, 3260], [4959, 6964], [4706, 8770], [3455, 3560], [5170, 7184], [3587, 5177], [1441, 11166], [10030, 10939], [526, 1741], [1307, 2306], [3705, 7118], [3791, 9144], [4410, 4463], [3321, 3745], [5380, 11343], [526, 11540], [3632, 7579], [4757, 7954], [1123, 3128], [550, 9682], [4944, 7780], [7119, 7447], [703, 4262], [1016, 2507], [5337, 7482], [1098, 4010], [1534, 4540], [1317, 6003], [7449, 9429], [3906, 10383], [720, 1583], [6516, 9224], [6987, 11061], [593, 5191], [7191, 7858], [4049, 9156], [1439, 4653], [157, 5792], [5229, 9992], [10179, 10257], [3727, 7415], [1710, 9088], [6061, 10522], [6131, 11261], [4672, 5348], [4235, 5347], [83, 366], [7056, 8572], [6058, 10224], [8745, 10975], [2942, 6327], [3110, 8355], [555, 2805], [1181, 6465], [1802, 9027], [4166, 4429], [1115, 8097], [7426, 10734], [289, 7789], [2329, 11173], [868, 10849], [10937, 10996], [7606, 9389], [1627, 9211], [703, 6840], [8118, 11227], [3655, 8828], [1809, 8693], [1423, 9381], [1747, 7815], [4424, 7878], [2158, 2431], [8040, 9092], [4022, 9561], [4392, 8340], [1720, 2205], [629, 7830], [2778, 5522], [4398, 5876], [1810, 8514], [1101, 3853], [9903, 10335], [3143, 3176], [5133, 8725], [2362, 5994], [3415, 4803], [4977, 5179], [1121, 7888], [949, 2708], [671, 6147], [1734, 9808], [6894, 9691], [1925, 2960], [5631, 7100], [174, 2308], [6268, 9414], [1199, 5485], [7202, 10975], [3188, 5928], [4657, 10277], [2501, 11414], [1104, 6379], [2537, 11071], [235, 3715], [2413, 9315], [3650, 9931], [5176, 8398], [4706, 6005], [691, 7903], [4796, 5898], [3022, 7329], [2776, 3890], [6134, 7320], [2022, 5902], [2969, 6914], [125, 8431], [4607, 6376], [7103, 10565], [1339, 11507], [1554, 9217], [1714, 11384], [302, 399], [2732, 10384], [1020, 7031], [1522, 1765], [5527, 8224], [960, 5445], [2161, 4152], [1768, 7833], [3380, 8326], [265, 8037], [3124, 9834], [2125, 11261], [9227, 9489], [2219, 8644], [5605, 6952], [2781, 9845], [1305, 2073], [5891, 6757], [8158, 8642], [3423, 10251], [2014, 10117], [6625, 6752], [4913, 9061], [3300, 9097], [334, 4767], [1734, 11231], [8678, 10371], [1990, 8942], [115, 3905], [7186, 8482], [6226, 6454], [6532, 7692], [4407, 8142], [3512, 6509], [6502, 11233], [7708, 10284], [2352, 7079], [1010, 4003], [4406, 10169], [3387, 10944], [3725, 4523], [2746, 9635], [4155, 9769], [3131, 10200], [2823, 5883], [6642, 7456], [6848, 7332], [444, 5662], [10643, 10763], [4275, 5340], [3523, 9677], [8791, 11537], [4113, 6510], [2898, 10379], [7970, 11573], [5420, 6367], [3491, 4477], [693, 6339], [4171, 7619], [3539, 4144], [4098, 5828], [3007, 7289], [8607, 10854], [5338, 10879], [1895, 4867], [2731, 5139], [3192, 10452], [7733, 11229], [5840, 8996], [1256, 10020], [4519, 10180], [4638, 5176], [653, 5785], [7354, 11583], [7875, 10531], [4898, 10176], [11338, 11503], [1254, 3908], [689, 11077], [6011, 6784], [8086, 8499], [1609, 7290], [1177, 1217], [748, 5241], [2115, 9313], [1449, 2844], [4158, 11490], [2224, 9256], [1288, 5370], [2720, 3421], [4554, 9211], [1233, 9046], [7009, 10393], [2718, 3348], [4523, 6865], [6264, 9458], [8657, 9762], [1372, 10329], [4672, 9617], [10088, 11375], [7044, 9798], [284, 2639], [3525, 11146], [5547, 7565], [657, 11515], [8255, 9193], [8812, 10050], [6873, 7472], [4791, 8750], [935, 7295], [5353, 9951], [2581, 6618], [6929, 7781], [1531, 11490], [6378, 10876], [4141, 10331], [495, 10406], [1269, 9800], [1962, 7512], [4978, 7795], [3347, 8780], [2579, 6922], [7517, 7924], [2976, 9776], [261, 6977], [4414, 9150], [1880, 8641], [6427, 9233], [3777, 5331], [1564, 9344], [4241, 10161], [2496, 10078], [8843, 8962], [4801, 8283], [5604, 6163], [3031, 10587], [8284, 9907], [9552, 10590], [11, 7152], [8278, 10092], [286, 2661], [4355, 7415], [6657, 8355], [2333, 8744], [1617, 7076], [3272, 3479], [1739, 8005], [1687, 7815], [1964, 4151], [835, 8538], [3607, 6209], [5966, 7683], [2337, 3201], [1115, 5145], [7056, 9003], [4690, 6358], [1825, 6244], [9328, 11232], [1166, 5110], [4316, 7837], [7802, 10513], [4438, 9520], [5527, 7232], [7994, 10683], [9520, 11402], [148, 8739], [7250, 9219], [5158, 5645], [569, 10489], [1013, 1835], [2943, 7333], [6887, 7854], [1231, 6609], [1415, 8416], [1783, 7122], [8505, 11545], [575, 4992], [779, 8205], [8062, 10975], [598, 9325], [89, 1342], [1439, 10695], [6449, 11011], [5857, 6935], [4014, 10481], [7348, 8599], [497, 2076], [5763, 6519], [4383, 11287], [5159, 11508], [4937, 6211], [393, 972], [1996, 8519], [1024, 1970], [1726, 6214], [3694, 8032], [3510, 5471], [2078, 10049], [2176, 7174], [3102, 3956], [1760, 5044], [1055, 6918], [2070, 9407], [4035, 5292], [1571, 5522], [5712, 6180], [2324, 4039], [4748, 6662], [8036, 8599], [3158, 7648], [942, 8734], [5341, 7176], [2621, 10449], [2068, 9711], [1965, 8832], [2976, 11549], [6173, 7706], [8604, 11500], [2379, 7129], [257, 11260], [467, 5593], [3056, 3557], [2238, 10280], [1956, 4932], [268, 5383], [2924, 4569], [57, 4382], [8862, 11135], [6651, 9559], [4720, 11006], [520, 9741], [2905, 5266], [5527, 5622], [1394, 6333], [2409, 8068], [3502, 4024], [7772, 9411], [4240, 10554], [164, 4629], [4026, 5872], [4062, 5529], [3344, 9450], [2372, 5153], [5288, 5986], [4355, 8033], [905, 5014], [10431, 11527], [1842, 6092], [7654, 7850], [7026, 7527], [7652, 11187], [2614, 8823], [713, 1811], [3204, 9820], [1045, 4270], [10920, 10937], [4263, 5411], [5440, 5976], [1455, 5831], [1360, 8977], [5066, 9707], [24, 7601], [5027, 6746], [1751, 5600], [4963, 9205], [3008, 6094], [1292, 4497], [4554, 8219], [6915, 8985], [2625, 8958], [3528, 10452], [1684, 4728], [285, 5282], [3893, 9641], [1410, 5657], [942, 4091], [2554, 3830], [3555, 6613], [4676, 9498], [2613, 4410], [4201, 6761], [5011, 5812], [2521, 11237], [892, 3223], [3544, 11335], [3260, 11576], [4139, 8512], [1338, 10857], [1584, 7880], [1856, 6124], [2609, 3887], [1009, 7191], [7968, 11527], [769, 7704], [543, 11333], [694, 9250], [2502, 8901], [5060, 5300], [11027, 11133], [7329, 10264], [1777, 9399], [2033, 7110], [4335, 8050], [4796, 6947], [4462, 7825], [6425, 9299], [5014, 8338], [320, 9948], [3587, 6844], [3621, 6428], [2654, 6639], [1495, 6653], [5139, 10669], [3148, 7147], [901, 5914], [583, 909], [4042, 5145], [8641, 10091], [6939, 7426], [2300, 8743], [9860, 10101], [5438, 7703], [307, 9312], [9266, 9362], [5462, 8097], [147, 4893], [7172, 9125], [88, 9948], [9135, 10599], [2973, 4298], [894, 11509], [6090, 8797], [703, 6279], [3528, 8492], [228, 9204], [9660, 9666], [551, 8891], [3290, 9832], [1657, 10744], [3622, 5875], [2429, 6305], [1498, 2763], [4216, 9997], [8419, 10779], [1188, 2537], [477, 6875], [3218, 5233], [1438, 6095], [3215, 10597], [340, 10549], [2611, 9170], [990, 1017], [490, 10493], [2852, 5068], [3258, 3504], [5744, 7005], [3383, 4704], [1917, 4036], [8305, 9337], [2515, 9812], [5455, 10285], [2786, 10083], [415, 11258], [3469, 7861], [17, 4015], [1626, 4237], [2978, 3837], [474, 5422], [131, 8466], [3672, 4433], [8496, 8531], [1249, 1254], [4932, 10860], [5703, 10737], [5235, 8417], [4648, 4685], [3490, 8334], [2827, 6300], [616, 4724], [3766, 7451], [9655, 11119], [1873, 5218], [6307, 8407], [9899, 11479], [1243, 4822], [495, 10032], [1524, 3529], [1887, 8307], [607, 3857], [5069, 6785], [6588, 10497], [2147, 6137], [2388, 9232], [924, 2975], [571, 1167], [1453, 8200], [1018, 2610], [2064, 3658], [8259, 11570], [1719, 6629], [1101, 7748], [2252, 7092], [266, 10330], [4717, 8962], [9189, 9225], [1603, 2482], [406, 9586], [6168, 7817], [3494, 11435], [8695, 11319], [1773, 10248], [7903, 10595], [4983, 10774], [4011, 6477], [220, 10335], [10584, 11531], [2487, 5804], [1828, 6922], [1114, 1163], [4854, 11303], [4438, 5763], [900, 7061], [11287, 11459], [8737, 11171], [1726, 6645], [1274, 2549], [135, 3996], [5532, 7956], [3625, 9043], [3748, 11328], [43, 1374], [6390, 6674], [5516, 5918], [261, 2765], [1006, 3673], [6735, 9338], [2783, 5923], [3562, 5661], [878, 8591], [7448, 9210], [8411, 10755], [1152, 6127], [1766, 1856], [6201, 6371], [5910, 9605], [2553, 9783], [585, 3801], [6741, 9533], [3847, 4517], [990, 11434], [5436, 9722], [1168, 7010], [4349, 9050], [493, 7595], [2286, 10378], [2385, 10357], [3228, 5384], [4439, 11195], [4848, 9902], [15, 7970], [5242, 6823], [3160, 3937], [4751, 9969], [9715, 9940], [7070, 7880], [2376, 9490], [6545, 9190], [540, 7791], [283, 5691], [3366, 7196], [2621, 7042], [6659, 9477], [5019, 7690], [3052, 9480], [727, 6836], [3638, 6571], [926, 9705], [3240, 5744], [2459, 5179], [2386, 9804], [5746, 9897], [5587, 9086], [6877, 11218], [3818, 8609], [6280, 6798], [917, 8838], [6063, 9015], [3914, 8317], [4659, 9225], [5593, 10032], [5190, 8861], [729, 3125], [6520, 10422], [3559, 4184], [694, 10486], [2158, 3911], [2075, 8572], [5745, 7393], [6335, 10642], [4054, 4163], [1170, 3999], [1965, 4270], [4117, 7895], [4893, 8116], [2157, 10856], [4306, 4384], [8079, 10500], [3590, 9132], [359, 1313], [5085, 8286], [1936, 1997], [4021, 5154], [576, 8895], [1474, 3629], [4299, 10760], [2647, 7458], [7170, 7656], [4928, 7521], [4799, 8831], [3801, 10483], [6380, 10011], [432, 8392], [7911, 8822], [1281, 7371], [6970, 10227], [2199, 9173], [1492, 5339], [1418, 2946], [1808, 3101], [588, 5872], [959, 8259], [1614, 9651], [308, 6986], [5217, 7250], [1347, 11000], [6369, 8667], [4459, 10991], [6263, 10900], [1817, 6196], [1869, 6386], [9563, 10188], [1750, 4974], [563, 3721], [6251, 6352], [781, 8495], [3916, 9436], [4548, 9878], [6152, 9756], [8392, 9818], [684, 2146], [5122, 5454], [855, 2967], [1014, 7161], [768, 3722], [301, 11426], [3821, 6516], [4096, 8441], [1412, 7207], [1076, 11422], [7299, 8550], [907, 3507], [7006, 10957], [781, 924], [1154, 9800], [6606, 7051], [219, 8768], [6853, 6928], [3338, 3514], [6223, 10696], [3453, 4026], [6780, 11553], [7320, 9023], [9221, 9619], [4414, 9662], [1797, 7398], [5076, 5809], [57, 7659], [1156, 6813], [5166, 7954], [2265, 5931], [1272, 7927], [7707, 8910], [5155, 7041], [7990, 8444], [2042, 3415], [4251, 8328], [2699, 5634], [2255, 4462], [80, 3297], [2442, 10704], [4966, 8273], [2032, 6110], [605, 11032], [1037, 11443], [2164, 6229], [4622, 6928], [1265, 7106], [2566, 3011], [4522, 9730], [5016, 6855], [3175, 4058], [9415, 9461], [6137, 7488], [982, 4539], [101, 10940], [9225, 9337], [3750, 3966], [9531, 10575], [844, 3851], [2406, 4981], [2585, 6444], [5291, 5747], [6846, 9116], [3981, 9756], [1371, 4499], [7442, 9901], [7225, 11364], [1241, 2174], [864, 2224], [3135, 8015], [3042, 4818], [8176, 9896], [2267, 8205], [4194, 7770], [7955, 8207], [4228, 6600], [8320, 10025], [9877, 10057], [138, 8132], [5617, 7206], [7723, 8988], [3006, 8894], [1504, 8569], [1869, 7004], [379, 8194], [5091, 11297], [8914, 10360], [3714, 7668], [1026, 8944], [23, 3836], [970, 9012], [335, 8272], [331, 11536], [9147, 9780], [6382, 6864], [5601, 7053], [3111, 8314], [3259, 8966], [1948, 5203], [3844, 5455], [989, 6783], [4719, 4901], [3292, 8325], [1444, 7363], [6218, 11344], [3575, 10111], [920, 5111], [1414, 2236], [6579, 6627], [3103, 4639], [3158, 8510], [1917, 6240], [78, 860], [6681, 10287], [3061, 10829], [5274, 6816], [2076, 10434], [5459, 9979], [1436, 9350], [99, 11536], [2807, 10912], [2533, 5425], [2743, 2791], [5383, 10142], [94, 8159], [1343, 3874], [1897, 5214], [2146, 8170], [9389, 11541], [2200, 8406], [1115, 10813], [217, 3247], [5165, 9101], [5657, 8809], [8542, 9575], [5276, 9871], [2671, 4958], [10752, 10926], [8143, 9277], [3965, 9491], [2786, 8099], [3087, 8993], [6320, 7059], [1851, 11231], [5022, 8419], [2752, 6236], [3708, 10774], [7966, 9765], [2429, 9932], [3551, 4374], [5978, 10678], [9832, 11306], [154, 989], [778, 816], [7777, 10243], [344, 4496], [3360, 11195], [9180, 10562], [16, 4438], [5370, 10980], [76, 8653], [1612, 4398], [4406, 11462], [5528, 5904], [2205, 11328], [5407, 7829], [3072, 4497], [2478, 10174], [1568, 7509], [198, 887], [3783, 9204], [5049, 9060], [7444, 10191], [8791, 9447], [2225, 8947], [1033, 7350], [4623, 10349], [5461, 11448], [294, 10394], [2584, 9819], [2143, 10076], [3423, 7356], [1589, 2320], [1031, 3490], [1776, 8562], [680, 2509], [1810, 7392], [6729, 8344], [3910, 10857], [8053, 11588], [6504, 9165], [1614, 6699], [179, 8350], [373, 8593], [6278, 7132], [2607, 8840], [8610, 9412], [8641, 8725], [2354, 4230], [412, 600], [4123, 5838], [2068, 4775], [3434, 8245], [1259, 9332], [786, 6668], [4402, 10134], [5183, 10699], [3584, 8189], [726, 5082], [1716, 9204], [3674, 10334], [9687, 10096], [523, 8136], [218, 7500], [5698, 6799], [653, 1012], [1864, 6823], [1430, 10503], [5036, 6865], [1984, 4646], [1010, 10102], [1015, 10446], [517, 3753], [1408, 7896], [6707, 11321], [6666, 8314], [2968, 8199], [5485, 11013], [727, 4502], [3836, 11392], [1377, 5550], [2867, 4360], [4119, 10926], [3152, 7727], [750, 9589], [2436, 5305], [5457, 5932], [314, 10190], [4209, 6655], [3395, 10114], [1986, 3564], [318, 6145], [2586, 6003], [306, 8794], [2109, 8101], [4535, 5135], [3598, 7440], [2579, 8215], [266, 8614], [8557, 11174], [1174, 4790], [6580, 11522], [1327, 5032], [4689, 5952], [2918, 11064], [8322, 11307], [440, 7454], [4555, 6137], [1444, 9754], [1535, 2702], [2935, 5002], [1128, 10457], [1772, 1891], [1849, 4555], [7638, 11025], [3586, 9658], [6259, 6569], [872, 3297], [3800, 7143], [1116, 10073], [259, 4760], [6974, 8012], [1611, 10052], [434, 3071], [3732, 6450], [1801, 7143], [2639, 4078], [1111, 2532], [5558, 10844], [3784, 5859], [9422, 9908], [6839, 8726], [3102, 9437], [6025, 6523], [5870, 8864], [7614, 9476], [1260, 3005], [6048, 10856], [5, 6721], [5607, 6949], [176, 8266], [624, 2040], [1260, 6388], [1719, 4458], [2001, 7554], [8064, 8931], [6825, 10898], [9161, 11422], [4150, 10881], [224, 2271], [1304, 9319], [7563, 7602], [6477, 7155], [3423, 4136], [4756, 5214], [5817, 8048], [616, 1748], [6197, 7515], [1333, 11188], [891, 3673], [2821, 9171], [3760, 10322], [3232, 4541], [7584, 8829], [7233, 7848], [7296, 11580], [6233, 6421], [3223, 10090], [2447, 3453], [2168, 4038], [4493, 10065], [995, 10038], [7352, 9610], [4146, 9203], [2713, 4511], [2680, 8535], [5132, 6790], [3306, 5779], [1965, 4059], [31, 7487], [1609, 1980], [487, 1876], [870, 11440], [276, 6537], [30, 8016], [3977, 11087], [2697, 3227], [1339, 3782], [1774, 10126], [269, 7251], [1817, 5285], [7895, 9606], [3378, 6190], [2903, 3453], [3560, 5672], [10691, 11054], [5610, 9774], [5543, 7798], [8698, 10869], [8631, 9647], [3803, 8813], [8042, 9252], [928, 1595], [7233, 7393], [3417, 8777], [8685, 9883], [7045, 7342], [8783, 10418], [8, 1595], [7628, 7922], [1895, 4013], [9083, 9929], [3450, 3972], [1091, 6662], [906, 6128], [1921, 8617], [868, 3392], [6654, 10345], [3667, 5138], [1991, 7858], [3659, 8660], [6747, 10509], [2351, 11584], [2201, 7853], [758, 2473], [2499, 5066], [8820, 11397], [8567, 10951], [707, 9301], [3004, 9897], [5332, 5642], [4607, 6140], [3274, 10697], [8384, 8965], [2990, 4522], [8201, 9258], [1061, 2632], [1059, 5969], [6224, 10360], [5417, 8574], [250, 4110], [726, 9701], [6569, 6608], [8250, 9150], [1842, 6580], [214, 11246], [1422, 6960], [498, 4589], [3798, 3877], [5356, 7517], [5739, 6531], [110, 7109], [7737, 10443], [8320, 10269], [4431, 6422], [2495, 6771], [8945, 9540], [2066, 10795], [2978, 3707], [9655, 10639], [8631, 11070], [8908, 9658], [2435, 5939], [3902, 7209], [657, 7628], [3181, 7449], [1927, 4974], [3960, 11351], [3893, 10129], [2988, 7808], [8373, 9499], [966, 2721], [3455, 9903], [370, 1155], [3329, 10730], [130, 8084], [10238, 10815], [3137, 7527], [3254, 8866], [3794, 6336], [2854, 4960], [3788, 8019], [291, 5184], [2099, 8999], [604, 3429], [3126, 6587], [3279, 6829], [5751, 6460], [4562, 8544], [823, 7674], [5059, 9350], [234, 1617], [6209, 10721], [46, 1566], [1912, 9523], [4030, 7902], [5145, 7589], [1754, 2521], [6475, 9150], [1222, 9076], [5525, 7810], [63, 9090], [619, 4087], [8781, 10209], [3640, 4714], [2831, 8517], [1809, 3359], [54, 1807], [1451, 4590], [1553, 8250], [2857, 3672], [426, 632], [2421, 10689], [6989, 10660], [8758, 8885], [736, 9159], [5371, 6188], [677, 7798], [2322, 3513], [4870, 5640], [3774, 6003], [4591, 6225], [3679, 9149], [761, 3739], [2383, 11336], [3536, 7343], [4797, 6101], [1008, 10786], [1122, 1274], [6827, 8797], [1498, 3251], [5331, 10172], [3583, 6408], [451, 8394], [744, 5263], [6972, 9151], [152, 1187], [2992, 9350], [6192, 11440], [343, 10554], [8275, 11518], [147, 4226], [5573, 6672], [6027, 10814], [5450, 7770], [245, 10396], [3781, 6019], [2170, 9134], [7555, 11579], [9761, 9805], [3412, 10848], [5788, 7765], [4028, 6650], [1571, 8051], [1820, 4591], [868, 6588], [9101, 10698], [290, 6382], [2719, 2933], [6457, 9994], [827, 9970], [1008, 6598], [5435, 7088], [5928, 10404], [7043, 10091], [1840, 9380], [1439, 2620], [6829, 8819], [5394, 9716], [9198, 10981], [312, 1418], [509, 8348], [352, 8364], [252, 10412], [7101, 10446], [7130, 8932], [7682, 9445], [5600, 6559], [5199, 6215], [32, 5161], [8244, 11400], [1176, 9750], [5066, 6625], [6473, 10096], [8400, 8907], [212, 3816], [3081, 4803], [3451, 3582], [2823, 6265], [2769, 9412], [7117, 11329], [1174, 6644], [8701, 9774], [481, 9309], [2101, 9663], [8634, 11181], [2660, 11347], [3648, 9007], [8009, 11129], [1202, 8288], [3083, 7508], [3050, 5116], [5052, 5764], [9152, 9831], [5115, 10250], [2372, 11065], [3619, 4455], [6912, 8988], [3385, 4059], [250, 3118], [10575, 10802], [370, 7384], [7277, 10806], [90, 8498], [5601, 7110], [871, 9063], [5835, 9034], [10881, 11259], [743, 9817], [3472, 3654], [1359, 5619], [8363, 8974], [2735, 3361], [1417, 9007], [1045, 7149], [4472, 8464], [6024, 8152], [5435, 8511], [2505, 3838], [4256, 7119], [1290, 6953], [204, 5752], [3072, 9547], [2375, 7929], [1592, 10701], [6105, 6801], [8562, 8810], [2223, 8289], [6982, 7074], [46, 7795], [2907, 4003], [3277, 3536], [355, 9304], [5665, 9912], [6816, 9256], [7287, 11093], [5912, 9789], [2493, 9089], [306, 5655], [3549, 4409], [5815, 9856], [5641, 8737], [2685, 9259], [5909, 9491], [442, 8899], [898, 8950], [10493, 11096], [1272, 8602], [830, 1087], [6153, 6818], [179, 6984], [637, 1446], [5179, 6612], [3604, 5220], [3542, 7752], [6465, 7844], [2938, 8577], [1293, 6446], [3877, 10482], [797, 8494], [319, 6240], [6151, 9374], [117, 2319], [5189, 10683], [6082, 11489], [9356, 9556], [1063, 6923], [2749, 3393], [825, 7509], [9634, 10998], [830, 7853], [7015, 8661], [3837, 10302], [843, 8088], [4712, 7496], [1966, 5384], [6630, 11479], [3268, 11313], [1036, 11112], [3832, 6925], [341, 3905], [4208, 9656], [2825, 4327], [2458, 9229], [1993, 10590], [3351, 3619], [3918, 9328], [3661, 7982], [2391, 4220], [708, 5769], [2160, 8259], [1487, 5507], [7987, 11049], [738, 7863], [7675, 9242], [5146, 9831], [1448, 2546], [6960, 10428], [334, 6467], [594, 944], [4530, 4580], [2976, 7475], [3747, 7352], [2842, 5031], [2348, 7906], [6480, 10730], [3555, 4149], [2966, 10170], [561, 1935], [6254, 7943], [4516, 9785], [5584, 9626], [223, 5323], [4861, 6033], [10859, 11179], [1375, 7521], [3079, 4570], [7184, 8981], [3476, 8178], [2954, 9005], [2305, 10811], [306, 7428], [1140, 6873], [6737, 10921], [2661, 11412], [4104, 4714], [148, 9471], [334, 2279], [5179, 11418], [6519, 8749], [605, 6714], [1890, 9256], [4304, 10437], [3127, 3456], [6239, 9863], [4116, 4724], [2008, 7033], [3209, 5740], [3525, 9918], [9540, 10507], [2534, 6325], [9939, 10024], [4404, 4602], [5459, 10654], [3399, 5083], [7819, 8566], [1747, 5945], [7419, 11076], [2022, 7870], [1686, 7921], [58, 2007], [6101, 10279], [655, 9810], [1178, 5421], [2267, 10303], [6439, 10274], [2136, 5124], [2006, 9215], [9521, 11554], [393, 11503], [2943, 10293], [4252, 10223], [4004, 5957], [3161, 5268], [1669, 9795], [3319, 5854], [5142, 10731], [1343, 3394], [1447, 7881], [819, 4148], [6600, 10757], [1097, 9754], [3277, 9765], [2809, 7445], [6513, 11512], [2905, 7153], [1683, 9851], [4243, 8575], [7311, 9048], [5351, 11255], [2677, 10709], [4607, 7539], [257, 8959], [713, 9764], [1838, 10139], [8558, 11483], [5853, 9372], [3797, 5455], [4108, 9289], [3206, 11403], [923, 4097], [6370, 10830], [840, 2342], [5597, 8628], [3317, 11419], [10, 4544], [3466, 4345], [3744, 10705], [1416, 4380], [4492, 8124], [9001, 10898], [9725, 10929], [3459, 4305], [1963, 7932], [967, 3241], [5302, 10558], [2799, 5952], [969, 9703], [5914, 9624], [7909, 9101], [4048, 5050], [997, 2302], [2959, 9967], [2049, 7302], [8148, 8336], [2040, 3052], [6372, 6688], [8235, 10964], [5054, 6672], [1785, 2533], [107, 3672], [1659, 3360], [8706, 10549], [4246, 7667], [2169, 2873], [8770, 11473], [7364, 8604], [2572, 9679], [3369, 3607], [5024, 7180], [10163, 10350], [6364, 9429], [4464, 6025], [1227, 10469], [4116, 8725], [5167, 10117], [2493, 10325], [2216, 5321], [4924, 6949], [9784, 10704], [3862, 4644], [10427, 10581], [7373, 8316], [5733, 5775], [532, 6645], [3584, 5831], [206, 6660], [6384, 10431], [7991, 10580], [3380, 7529], [6284, 6817], [3949, 9901], [1571, 9905], [4387, 7094], [3532, 4136], [5495, 5610], [4598, 7314], [3574, 7745], [8054, 11279], [2667, 8761], [354, 2744], [1880, 8381], [1575, 3581], [1503, 2015], [687, 2395], [542, 6178], [6209, 10965], [2813, 5553], [4953, 7663], [1541, 1718], [2214, 4470], [2631, 9454], [1091, 4141], [2933, 6786], [8833, 10643], [6760, 8974], [622, 7985], [7833, 8435], [4170, 5123], [5185, 6858], [150, 8175], [705, 6707], [2518, 10866], [3093, 6667], [2227, 7684], [2504, 6272], [1609, 8803], [3290, 7181], [4372, 10892], [825, 1524], [1907, 5235], [2712, 3942], [1407, 10547], [1212, 7827], [3059, 10816], [5115, 9071], [2497, 8834], [7401, 8754], [2702, 5856], [3581, 6956], [2852, 5800], [2766, 4528], [4466, 7120], [4529, 10852], [4410, 9440], [356, 11410], [5089, 9728], [6646, 9760], [9879, 11209], [7767, 9612], [3587, 8999], [1135, 11498], [2723, 7433], [5235, 9149], [3672, 8548], [6440, 10981], [4451, 8286], [7474, 9740], [2302, 8342], [8, 7263], [1333, 8480], [2585, 3712], [437, 6622], [8682, 8837], [4976, 8107], [714, 5210], [1920, 11431], [2926, 7388], [4937, 11562], [918, 2761], [4756, 9272], [295, 3536], [7464, 8648], [1141, 8660], [5999, 11588], [4184, 5848], [1357, 9224], [9328, 9362], [6484, 10879], [5061, 6875], [8258, 9448], [1540, 11560], [4965, 9796], [6582, 10633], [228, 8326], [3673, 4585], [572, 1720], [4892, 8005], [902, 7489], [6318, 8493], [4301, 10920], [3924, 8718], [4385, 9113], [1245, 1412], [1396, 11407], [7025, 7796], [9079, 10886], [6310, 11234], [1203, 10985], [2268, 4893], [6203, 10613], [2844, 3548], [6892, 11589], [2346, 8933], [2442, 9395], [2967, 5833], [7328, 7955], [3066, 9222], [2241, 8358], [186, 7295], [2314, 7116], [278, 10267], [2609, 3277], [2741, 9812], [10053, 11068], [2975, 5320], [1051, 10190], [3014, 4494], [7686, 8952], [1048, 9138], [5227, 10280], [2759, 7358], [4089, 8165], [7079, 9479], [329, 756], [4146, 7918], [792, 5361], [7005, 7463], [5482, 6261], [1318, 4653], [3204, 4217], [5951, 11435], [7561, 8849], [9868, 10133], [4773, 11399], [118, 2414], [1468, 5351], [7622, 10256], [4667, 7216], [3679, 9556], [3079, 5619], [4226, 9725], [4386, 5476], [4688, 5060], [7396, 7442], [9199, 10913], [6439, 9095], [3600, 10202], [4323, 4373], [5477, 9650], [6256, 9388], [1015, 5941], [10070, 11371], [9515, 9806], [6862, 7885], [8135, 11164], [2595, 5398], [790, 4510], [5022, 10948], [2804, 8955], [6890, 9152], [7540, 10200], [4028, 7057], [1158, 6599], [3747, 10979], [2185, 3433], [9490, 10688], [2026, 4874], [1647, 6009], [7034, 9281], [6562, 9471], [6441, 11396], [2864, 2940], [2673, 6378], [6162, 6319], [1948, 6122], [740, 3992], [4480, 9968], [5631, 9312], [4750, 11549], [3167, 10296], [930, 10505], [240, 9304], [6781, 11437], [3099, 11101], [11, 3590], [2414, 10998], [1696, 8503], [1474, 3206], [1818, 7934], [3156, 8602], [1069, 5372], [4775, 10266], [6857, 8988], [4959, 6411], [4907, 6221], [1949, 10080], [813, 4628], [2155, 3540], [2466, 11538], [1530, 7652], [9310, 11228], [2058, 3607], [2617, 5291], [906, 10454], [968, 5670], [3270, 6610], [2544, 9916], [8156, 10832], [273, 4125], [3768, 8018], [1428, 6594], [4798, 11539], [1209, 11394], [4824, 10508], [1020, 2827], [1606, 8586], [2662, 4660], [327, 7744], [5898, 6407], [144, 2375], [5837, 8383], [1411, 5085], [3441, 7781], [2909, 7920], [1541, 4377], [385, 2437], [4844, 7346], [4612, 7777], [1480, 10517], [2502, 2843], [3527, 10184], [4301, 9578], [7516, 10448], [3686, 7962], [2987, 3265], [4356, 6252], [8158, 10854], [935, 8889], [742, 8494], [2263, 2453], [2395, 8988], [284, 1200], [4134, 4338], [6348, 9595], [7905, 9627], [2673, 4768], [2953, 7037], [3385, 6694], [2638, 5713], [484, 507], [9709, 10290], [8248, 9966], [3004, 7002], [4867, 11278], [447, 1379], [2874, 11093], [5152, 7475], [5026, 9056], [2725, 10970], [6734, 9257], [764, 10296], [4269, 10016], [563, 5876], [3799, 7623], [6137, 8220], [7699, 9350], [2497, 11493], [5102, 9990], [6315, 10212], [9224, 9844], [346, 10722], [5604, 11140], [2314, 6124], [3577, 5709], [2983, 4970], [2053, 5036], [5382, 9226], [5946, 11254], [5375, 8055], [4002, 8332], [454, 11194], [3129, 8178], [3409, 10447], [5367, 11577], [401, 10779], [4914, 11043], [1765, 4754], [139, 6837], [691, 934], [3063, 6777], [1504, 5918], [5246, 10469], [7768, 9463], [2902, 11555], [918, 9958], [2819, 3384], [8417, 11040], [4857, 5971], [2095, 6736], [1554, 5631], [582, 6252], [6717, 6943], [1765, 3599], [4641, 11419], [4013, 7686], [2985, 10627], [1230, 9856], [645, 6951], [6801, 8519], [2974, 10468], [4661, 5628], [1982, 8902], [2653, 4411], [4994, 10941], [4717, 5937], [8643, 8885], [209, 355], [6525, 10506], [4992, 8616], [2168, 10755], [6394, 7579], [35, 11344], [9470, 11323], [509, 10446], [6703, 8334], [2436, 2841], [162, 9584], [8534, 10820], [228, 11335], [6596, 11096], [2654, 7615], [1310, 8630], [6444, 10675], [7397, 9280], [7278, 7868], [4439, 8975], [2072, 11023], [16, 2942], [642, 5848], [4224, 8232], [9224, 10112], [10010, 11021], [3216, 5032], [4907, 8262], [2158, 9262], [441, 4811], [6736, 9921], [5580, 7981], [2037, 11187], [1003, 10176], [9165, 9882], [2808, 4648], [476, 7249], [9808, 10513], [4615, 10490], [8662, 9261], [5083, 10558], [7437, 7524], [7906, 10446], [1521, 8826], [835, 4334], [8897, 11006], [2431, 4294], [7426, 9994], [1553, 4550], [1336, 6013], [8681, 9661], [2322, 2846], [5040, 10080], [176, 8835], [1575, 8281], [1446, 3175], [3065, 10474], [3528, 5280], [2917, 8324], [7796, 11375], [4742, 9110], [5769, 6698], [732, 11352], [161, 8153], [725, 10181], [5823, 6180], [2753, 9798], [3095, 9535], [9404, 11345], [2892, 8452], [593, 7029], [3329, 8453], [3435, 9603], [7105, 8424], [6847, 9886], [3865, 9187], [164, 8801], [6501, 9249], [1308, 6974], [2636, 7708], [11101, 11387], [3267, 4542], [7970, 10565], [6867, 7505], [10454, 10987], [1452, 2939], [5722, 9861], [2446, 10967], [5314, 8346], [2451, 4895], [4281, 6025], [960, 5860], [325, 11536], [4277, 7037], [1166, 3484], [2351, 4664], [1095, 4772], [167, 7163], [2500, 7416], [3649, 6687], [6264, 9255], [5292, 9122], [3466, 3947], [2151, 9864], [5998, 7069], [523, 8868], [488, 5649], [866, 9207], [2263, 7072], [10972, 11111], [1085, 7036], [6054, 7351], [1264, 2837], [5281, 11565], [758, 4197], [47, 2873], [766, 1806], [3309, 5841], [661, 4264], [3372, 10327], [1130, 9438], [1704, 5738], [6607, 7685], [2321, 5148], [2120, 7144], [7474, 8024], [2123, 4409], [1467, 2792], [2313, 10922], [61, 2929], [7980, 9293], [5172, 10467], [1738, 7981], [465, 538], [5196, 8609], [1190, 9839], [2026, 10111], [7129, 7208], [1559, 9147], [1855, 5533], [3238, 4446], [6467, 11438], [7336, 7686], [9514, 11034], [4507, 7983], [6587, 10042], [1702, 2258], [671, 7180], [1416, 1672], [6641, 10278], [679, 5543], [6527, 9210], [2749, 6914], [1317, 5076], [1906, 2438], [238, 4265], [389, 10850], [4706, 7038], [3126, 9466], [3016, 4410], [9717, 10962], [4892, 6639], [65, 8659], [6290, 6614], [4855, 7511], [128, 6729], [3077, 5036], [2669, 9937], [3442, 3471], [5255, 8384], [1889, 9974], [4537, 5135], [996, 2752], [1793, 3850], [1452, 3557], [4939, 9087], [832, 1597], [2070, 5821], [1509, 7474], [7919, 10090], [2409, 8670], [6979, 9468], [7861, 10085], [4241, 11381], [5552, 7974], [7854, 8914], [8470, 11132], [1820, 1859], [2369, 2855], [8072, 10305], [3184, 8666], [176, 8998], [3519, 11396], [1566, 4194], [4828, 7162], [7166, 7759], [2022, 2747], [2842, 8902], [5261, 10427], [442, 1011], [2114, 4965], [1348, 6186], [7781, 10506], [2805, 9020], [8180, 10777], [1440, 9158], [5480, 6758], [2610, 8552], [2452, 4960], [10309, 10446], [5385, 9904], [3509, 10304], [4331, 7460], [3818, 5397], [1514, 3630], [707, 1844], [4410, 8692], [850, 7787], [9628, 9711], [4251, 7881], [4373, 6558], [10221, 10225], [6274, 7154], [390, 3830], [3311, 6505], [1473, 10395], [3782, 6090], [5642, 5931], [5373, 11368], [1913, 4251], [786, 7213], [2587, 9857], [6728, 10515], [816, 8553], [2924, 6244], [5415, 10089], [2994, 7737], [3677, 11177], [10618, 10800], [2689, 7101], [5380, 11034], [5424, 11306], [7507, 10630], [6975, 11523], [839, 6443], [5666, 7806], [7686, 9814], [804, 972], [4821, 9700], [3534, 11249], [6834, 10537], [1920, 10683], [1245, 11268], [1109, 11407], [2470, 8117], [3187, 4725], [5025, 10634], [1601, 8836], [1539, 7958], [4366, 4582], [5897, 6399], [5952, 10270], [351, 8732], [2877, 2964], [6147, 9957], [512, 7337], [249, 8455], [1940, 5269], [2119, 7486], [2526, 4612], [3651, 9151], [650, 5766], [10388, 10472], [405, 5935], [403, 2856], [6323, 8843], [5160, 5732], [8712, 9405], [616, 7286], [5251, 8479], [6710, 7976], [7264, 9316], [3504, 7569], [2102, 2190], [7492, 11395], [646, 2964], [4811, 7426], [4780, 5861], [2745, 2821], [883, 8569], [8200, 10169], [2159, 8359], [9263, 9666], [3124, 5069], [2840, 5310], [1067, 7343], [855, 9904], [4169, 6646], [8258, 11278], [9321, 10021], [3246, 7129], [4605, 9428], [2427, 4582], [4166, 6348], [1846, 10464], [2304, 5680], [6342, 8869], [4014, 6708], [3580, 9634], [2860, 6312], [9580, 10662], [3790, 10383], [2730, 11157], [7905, 9066], [1355, 9853], [4164, 5871], [8854, 10935], [1693, 9848], [941, 1353], [164, 8077], [1313, 6594], [9352, 11562], [7855, 11581], [1217, 10269], [7139, 9913], [7507, 7865], [6328, 11391], [6919, 11078], [4985, 8844], [2741, 11292], [3386, 8586], [2090, 10019], [7343, 10093], [7615, 8337], [6448, 8460], [3513, 7607], [6632, 11021], [1703, 2965], [2055, 7554], [3884, 5830], [2141, 6574], [1774, 5060], [4594, 7683], [4432, 6601], [6739, 7885], [6897, 9225], [483, 2703], [3411, 6549], [3593, 6031], [4935, 4943], [1478, 7169], [3586, 8243], [348, 3417], [7269, 11433], [1228, 9623], [478, 9125], [6045, 10298], [9071, 11269], [537, 9705], [9943, 11198], [8720, 10288], [9305, 10941], [6693, 11273], [2128, 8567], [3076, 9834], [2241, 6000], [1401, 8238], [2526, 8613], [3046, 4707], [5294, 8794], [3484, 8316], [1237, 7083], [9702, 10762], [2200, 9382], [1362, 1867], [1582, 4085], [10329, 10860], [3066, 8742], [547, 5855], [2073, 10738], [141, 4413], [4447, 6828], [4010, 10991], [1240, 3567], [3980, 8116], [5434, 11433], [3782, 8131], [4064, 11227], [5580, 11258], [1755, 9116], [4072, 11088], [3536, 4692], [8268, 9201], [4829, 6371], [6458, 8723], [6197, 9133], [6945, 7306], [1902, 8762], [2373, 8347], [5886, 8682], [7386, 8180], [4943, 10041], [5134, 7357], [311, 6113], [4361, 10817], [4726, 5088], [5512, 5997], [4137, 5447], [5159, 8353], [7908, 10736], [3205, 8096], [488, 10886], [3413, 8799], [4070, 6854], [5224, 6469], [1516, 4912], [3202, 7798], [10297, 10517], [1851, 11052], [5187, 6587], [8177, 11311], [2764, 7572], [4968, 4971], [200, 4188], [1232, 2120], [3625, 8840], [666, 3429], [3960, 9318], [10353, 10799], [1250, 6863], [699, 9204], [3407, 4416], [2280, 10384], [4924, 8055], [6264, 10304], [8308, 10454], [2771, 10621], [3490, 9554], [7683, 10402], [6485, 8960], [2420, 3224], [9675, 10362], [1469, 1659], [814, 10066], [591, 10960], [2133, 6550], [10696, 10764], [4008, 5171], [670, 3147], [1363, 7275], [3255, 10037], [8268, 10624], [7050, 7052], [9505, 11240], [2569, 10463], [4983, 5228], [5963, 9386], [6173, 10162], [1507, 3240], [385, 7300], [1593, 9430], [2403, 8481], [8230, 11271], [2311, 8892], [1122, 6812], [2930, 10627], [8790, 9393], [1529, 11108], [810, 5005], [5108, 7559], [2869, 6187], [4077, 6065], [3825, 11479], [6404, 8755], [4795, 5527], [6916, 10593], [1744, 2779], [5464, 7379], [2332, 3703], [11113, 11560], [1416, 2721], [2285, 3133], [237, 5493], [330, 1520], [8485, 10635], [6049, 7251], [553, 7419], [5754, 7303], [2659, 5037], [4056, 7066], [7891, 10650], [19, 1069], [3682, 5135], [2190, 9662], [6431, 6764], [6863, 7175], [4185, 9139], [606, 10436], [3433, 7060], [749, 3574], [6411, 8771], [7911, 8269], [3026, 6901], [3581, 4679], [8183, 9896], [2995, 7965], [4612, 8802], [6410, 7765], [3863, 6994], [2464, 7548], [5126, 6579], [7094, 8397], [376, 11263], [2618, 4982], [1871, 10417], [2084, 11464], [1425, 10330], [1475, 3277], [3594, 10926], [6035, 8992], [1163, 1470], [2446, 9601], [2234, 11408], [4658, 5363], [7082, 7232], [2794, 10284], [8067, 11010], [482, 11285], [5052, 7919], [4733, 9105], [3112, 11532], [1, 7979], [6537, 9768], [3607, 5095], [2244, 5306], [1903, 11429], [7073, 9748], [4138, 4731], [9086, 10585], [4146, 8756], [9151, 9482], [7056, 11272], [1493, 10218], [7341, 7469], [4277, 4516], [1051, 6840], [7260, 11452], [2690, 4992], [608, 6270], [978, 5049], [8018, 10313], [195, 3657], [7734, 10554], [2029, 3031], [547, 1830], [3709, 5348], [3586, 6446], [848, 8359], [1126, 1133], [1222, 8011], [6253, 9204], [2896, 9382], [2169, 2637], [4763, 7361], [8739, 9672], [1115, 6609], [7658, 8815], [10798, 10854], [462, 2257], [7800, 11150], [3566, 4639], [9670, 10181], [3002, 5240], [1952, 10866], [3934, 5974], [5124, 10908], [2933, 10738], [8418, 10381], [6448, 7736], [3745, 6452], [1071, 10070], [787, 3895], [4460, 8649], [6135, 6458], [3417, 4142], [524, 1980], [183, 1687], [2151, 3505], [2077, 5276], [1431, 10763], [4762, 9364], [3048, 5184], [863, 4829], [6310, 8152], [775, 2730], [7492, 9061], [3822, 8742], [8298, 10622], [1698, 5630], [5273, 6843], [419, 4788], [3820, 11298], [2409, 3921], [5220, 7182], [3069, 6411], [4063, 7269], [3067, 3332], [37, 1461], [1064, 4711], [2034, 8181], [5153, 9343], [1445, 7786], [8040, 10182], [411, 6775], [221, 235], [1662, 9706], [2735, 9167], [4349, 9733], [3770, 10780], [18, 3289], [300, 2221], [4320, 8214], [428, 11266], [11035, 11466], [3485, 4380], [3781, 7182], [1399, 11174], [9040, 11208], [4907, 11165], [5406, 5628], [5333, 6843], [4211, 10149], [510, 5599], [2103, 6042], [1005, 3326], [6801, 10967], [9072, 10342], [3437, 3558], [11176, 11297], [2595, 9887], [8374, 8499], [6600, 10684], [3122, 5617], [2955, 7197], [1583, 5410], [3988, 7983], [5786, 11110], [3458, 4785], [4239, 5350], [8005, 10295], [273, 3003], [501, 11498], [8249, 10655], [3603, 10801], [7658, 9433], [5036, 9077], [6801, 9812], [188, 10220], [1104, 6314], [574, 3116], [5805, 11510], [521, 3455], [7045, 9391], [1195, 9061], [2124, 6114], [4429, 10735], [322, 5497], [5642, 6793], [3842, 7003], [379, 6031], [4991, 5520], [4277, 4679], [1448, 6474], [4034, 7173], [3748, 10751], [7693, 11497], [5487, 6855], [3675, 5550], [2491, 7978], [210, 1499], [6813, 10172], [2515, 6120], [8194, 8258], [2583, 10950], [3302, 9883], [147, 396], [3261, 3466], [4291, 11151], [7620, 8925], [6408, 9305], [8024, 10671], [3103, 8892], [5214, 10264], [5993, 10002], [5807, 11532], [912, 8722], [4403, 5326], [757, 5401], [8286, 10856], [10622, 11380], [164, 7516], [2282, 5895], [8448, 8905], [3338, 8385], [661, 1906], [1226, 7542], [7139, 9352], [66, 3948], [9305, 11185], [3856, 7035], [4800, 9284], [9703, 11231], [620, 2255], [1585, 4627], [2022, 5382], [5628, 8160], [6849, 8997], [7178, 7775], [4660, 11152], [740, 9904], [11016, 11253], [5741, 8976], [2456, 10720], [3031, 6521], [2870, 9047], [4181, 5640], [6667, 9141], [550, 6747], [6171, 11189], [6078, 8746], [4457, 4757], [721, 7568], [9012, 10128], [2071, 10505], [1058, 11125], [4172, 7025], [5395, 8689], [192, 7978], [3050, 4669], [4426, 8827], [3362, 4941], [3026, 9910], [2365, 7195], [2112, 9755], [713, 10309], [6434, 8916], [5431, 10224], [3256, 4895], [3295, 10485], [6003, 9861], [1073, 4586], [4682, 9547], [7, 11207], [2505, 3391], [2775, 11388], [874, 4376], [6484, 9383], [2590, 8602], [319, 3565], [3253, 10609], [2780, 8699], [244, 947], [1212, 7754], [4233, 7627], [1864, 5465], [2646, 8884], [6562, 10390], [1359, 10433], [8996, 11449], [5905, 11554], [2075, 2652], [681, 3550], [4320, 7222], [3855, 11589], [2754, 9356], [2105, 11162], [5880, 7525], [3230, 9285], [1205, 6933], [2321, 3058], [198, 4335], [5301, 7094], [1892, 7082], [1138, 8340], [5157, 7315], [10559, 10895], [4559, 9840], [9031, 9349], [1034, 1574], [4115, 5662], [4863, 10251], [8223, 10344], [3249, 3269], [1864, 7693], [5795, 10985], [8196, 8898], [2487, 10301], [7122, 11494], [8829, 8841], [7029, 9051], [5129, 11309], [5476, 9138], [5748, 7382], [82, 5449], [1276, 1457], [714, 11553], [7710, 8631], [6366, 9646], [4219, 8994], [3555, 9768], [4305, 11020], [1786, 5127], [2373, 2443], [8699, 9118], [4241, 7063], [10728, 11589], [5773, 8728], [1346, 8238], [6046, 10580], [5731, 9256], [2460, 4290], [1990, 5307], [3891, 5903], [1192, 11154], [1536, 10964], [4397, 7172], [1749, 5595], [2838, 4061], [7214, 7245], [7052, 8415], [7716, 8395], [2330, 8731], [3942, 8470], [9821, 11450], [9480, 11157], [10229, 10686], [2221, 10666], [9903, 10701], [5956, 7630], [8762, 9793], [3179, 3199], [2277, 10975], [1666, 2685], [8510, 8791], [313, 5866], [1242, 6329], [6417, 11408], [1374, 8700], [1899, 5138], [1532, 10040], [6456, 11336], [9061, 9833], [3457, 8778], [1373, 9229], [3572, 6284], [96, 4296], [5541, 10956], [211, 8972], [6258, 7564], [1614, 2121], [3536, 6977], [1789, 10231], [87, 7566], [5679, 7106], [2910, 7454], [8851, 11312], [2481, 4308], [1600, 6545], [3928, 6454], [5619, 9684], [6950, 7683], [4178, 10766], [4209, 5915], [811, 3086], [5289, 6547], [3678, 9662], [3826, 9560], [2336, 4334], [2675, 3800], [3055, 4021], [71, 8911], [1866, 1941], [5606, 5665], [2796, 5258], [2587, 11500], [8156, 9336], [5470, 11439], [3851, 8277], [678, 3846], [1706, 10704], [6580, 7749], [7700, 7780], [3254, 7240], [3627, 5536], [2479, 10627], [2854, 9750], [4212, 5408], [1409, 6926], [248, 478], [4112, 8210], [3721, 8554], [70, 8285], [6859, 7514], [1064, 9143], [2426, 8707], [1753, 3703], [2589, 3975], [3826, 8755], [2742, 4971], [3027, 7584], [2955, 6018], [6263, 9331], [1115, 9081], [2651, 8236], [492, 3440], [1643, 2784], [6961, 9669], [3767, 10777], [6529, 7760], [679, 3266], [9015, 10507], [28, 8409], [2447, 9934], [4412, 5819], [186, 8995], [805, 5068], [6467, 9511], [3714, 10392], [3667, 10546], [3440, 11321], [5499, 6841], [4595, 11538], [101, 9826], [937, 10098], [2067, 10817], [1969, 7276], [1372, 2856], [1654, 1788], [286, 8825], [2590, 3422], [72, 7553], [5450, 8827], [1649, 11243], [5978, 8946], [1396, 4381], [6598, 7873], [1737, 3893], [7276, 7936], [1837, 5228], [899, 11095], [1546, 8462], [5336, 7385], [1824, 3488], [7949, 9907], [8988, 9010], [12, 2183], [2226, 7440], [1949, 2436], [453, 9473], [3128, 9463], [1481, 9915], [5392, 11077], [2811, 7312], [1901, 8811], [2651, 2893], [6083, 8716], [816, 10464], [3711, 6256], [8819, 9359], [2235, 4900], [2526, 10711], [991, 5742], [440, 8837], [7346, 10903], [3177, 8951], [2893, 9192], [2361, 10085], [7435, 7942], [3066, 10840], [143, 922], [4074, 4214], [522, 9586], [5489, 6822], [7761, 9805], [1943, 7478], [195, 3714], [1695, 3966], [7646, 8512], [8945, 10760], [3649, 7606], [8108, 10263], [5959, 6155], [3213, 7453], [4522, 10389], [3715, 8603], [1782, 9223], [7410, 8420], [7162, 11324], [3081, 11471], [469, 3135], [6157, 8799], [529, 3186], [5978, 7336], [7440, 10514], [1461, 10336], [3546, 6323], [86, 2616], [1209, 6328], [2301, 10727], [1393, 2473], [434, 9715], [1735, 5620], [9866, 10177], [10666, 10792], [5969, 6469], [1459, 4224], [4598, 8290], [7836, 10864], [4058, 4404], [1047, 5219], [2789, 4250], [506, 8278], [2539, 4075], [2157, 7945], [2162, 8289], [5209, 7131], [1718, 4111], [1869, 4280], [1129, 4470], [9783, 10300], [3470, 4584], [1472, 4055], [6079, 10370], [1808, 9639], [10423, 10633], [2584, 9860], [87, 2036], [6043, 6926], [1841, 8998], [4136, 6515], [925, 5764], [5001, 5273], [416, 1164], [914, 11240], [3942, 5868], [3319, 6643], [3191, 7397], [1327, 10066], [9257, 10203], [422, 1329], [128, 882], [7008, 8897], [819, 4937], [595, 9393], [4738, 10124], [127, 7827], [6013, 7814], [3706, 6530], [8468, 8996], [1775, 3059], [7855, 10459], [6821, 10202], [5042, 11289], [2559, 7305], [5164, 5802], [3584, 8230], [3799, 5940], [86, 4039], [3896, 9256], [2396, 3342], [5999, 6603], [1771, 3290], [1869, 3825], [4966, 9200], [5902, 6670], [554, 9742], [9047, 9053], [6531, 9093], [2897, 10683], [7931, 9141], [273, 832], [553, 9517], [1396, 10960], [217, 10322], [3725, 3897], [2410, 2644], [3913, 6577], [8846, 11399], [6977, 9560], [385, 2177], [7260, 9094], [1527, 5939], [4281, 7912], [2658, 7260], [347, 10738], [3836, 11433], [2368, 9938], [6074, 7662], [8159, 10819], [2894, 9230], [4630, 11479], [2825, 11345], [435, 8306], [831, 7525], [2825, 8312], [1359, 7644], [2068, 5889], [7298, 10675], [4094, 11095], [1614, 11546], [1193, 5662], [733, 7367], [7821, 9669], [971, 3748], [1041, 8651], [666, 3112], [2875, 8025], [6611, 10095], [8696, 10246], [6036, 7154], [291, 956], [2159, 4822], [3248, 9704], [9344, 11221], [844, 4323], [1370, 3615], [9742, 11267], [4924, 11121], [3018, 3765], [2862, 6635], [4570, 6836], [7066, 11025], [2379, 8918], [1198, 5201], [7144, 9403], [3498, 9478], [7357, 10450], [977, 2758], [1467, 6557], [293, 10427], [5114, 10090], [102, 279], [910, 11335], [6832, 10979], [3585, 9073], [750, 4637], [2142, 2158], [727, 9349], [2613, 8159], [2611, 11496], [1874, 11203], [3669, 4233], [3056, 5696], [3515, 10182], [2261, 7707], [4203, 7550], [857, 1501], [2298, 3802], [8770, 10302], [6347, 11287], [4245, 6271], [2787, 10382], [757, 1270], [7461, 10749], [2201, 9504], [7758, 9989], [8508, 8989], [1354, 2657], [5082, 7118], [2062, 3683], [976, 8898], [8197, 10790], [7383, 7833], [5084, 10574], [4640, 9402], [4948, 7303], [6360, 11118], [6143, 6919], [6948, 11288], [6198, 10790], [2060, 10403], [5420, 9742], [995, 10079], [6352, 10476], [7432, 11108], [11473, 11562], [1516, 8246], [549, 9211], [3926, 11163], [8986, 10842], [9015, 9328], [3256, 11368], [4684, 9300], [4995, 6718], [1082, 8893], [7052, 11237], [1574, 2939], [1950, 11332], [2320, 3695], [1477, 3006], [2282, 7375], [3677, 9331], [4406, 9706], [2958, 3982], [845, 5947], [5245, 7243], [1195, 6703], [4839, 6555], [723, 9899], [3684, 7469], [2898, 3150], [3495, 10953], [5202, 7546], [6795, 10241], [1250, 4131], [3357, 3849], [7118, 8450], [177, 3165], [6195, 9687], [6995, 9548], [5193, 6679], [6862, 7706], [525, 3848], [5347, 10529], [827, 9848], [82, 9694], [6522, 11021], [6778, 8732], [3170, 4373], [424, 6425], [1885, 6749], [2669, 6831], [4099, 5590], [10069, 10186], [6333, 11499], [705, 5886], [7212, 8435], [2215, 5348], [7051, 10961], [1155, 6122], [3961, 8285], [3006, 6601], [845, 5142], [5392, 9898], [4559, 9897], [1593, 9731], [1782, 5466], [784, 7118], [3363, 4394], [7041, 9492], [1028, 1062], [1662, 10999], [8227, 10520], [3301, 6899], [3115, 3511], [1036, 10722], [3540, 9167], [2136, 2961], [5251, 6633], [7028, 11135], [278, 2412], [2040, 5882], [1761, 6467], [3884, 5944], [1195, 1360], [5100, 9847], [6937, 8738], [6562, 6609], [4499, 7937], [10482, 11240], [5646, 6381], [1766, 4532], [4159, 11252], [3973, 5612], [549, 4568], [7240, 9678], [908, 4686], [1104, 2346], [1534, 8346], [3808, 7238], [3283, 4384], [4936, 11294], [5368, 10951], [4637, 10503], [3398, 9060], [7202, 10325], [3955, 9917], [2902, 4692], [5605, 10140], [2563, 5226], [1338, 7653], [6110, 11561], [6982, 11490], [1629, 7802], [4425, 9277], [906, 10625], [931, 5959], [9895, 11271], [143, 8387], [7090, 11208], [4382, 9580], [3881, 5622], [729, 2068], [5126, 10263], [9207, 10116], [2127, 7705], [7892, 9617], [6030, 8949], [5933, 9016], [195, 4763], [8257, 11435], [4623, 8861], [3527, 6972], [3057, 10995], [1973, 10621], [2573, 8142], [7669, 8232], [4995, 7686], [4608, 10458], [1220, 4907], [5175, 10505], [6348, 9416], [154, 5112], [152, 8449], [224, 10769], [6698, 10926], [4511, 8246], [4695, 10053], [5409, 9396], [4109, 9929], [6101, 9889], [4324, 5387], [1333, 6854], [2109, 2157], [3413, 8913], [1730, 9708], [3502, 8204], [1012, 7213], [1413, 8311], [4936, 9334], [788, 8259], [917, 3943], [6668, 7677], [228, 9733], [2690, 8676], [3645, 3944], [8355, 10384], [1564, 8076], [944, 9122], [1873, 9585], [1159, 3826], [746, 1967], [2893, 5248], [8620, 10840], [1709, 2014], [6189, 7800], [2616, 10043], [1955, 10334], [6900, 10255], [592, 11299], [3070, 3605], [3853, 4997], [7837, 11333], [6302, 8616], [5629, 10028], [5720, 9392], [4309, 8431], [4844, 5557], [1487, 5735], [2357, 9001], [115, 8866], [4370, 9838], [13, 10087], [6050, 7991], [1881, 6039], [6105, 8452], [7662, 8484], [3221, 8288], [937, 7927], [1307, 2542], [842, 10319], [2558, 8883], [5112, 10044], [6659, 9388], [9398, 11083], [5786, 9988], [5559, 10763], [7274, 7971], [586, 6542], [9452, 11319], [825, 2394], [582, 9806], [3013, 6430], [2624, 2713], [1854, 6444], [8977, 11211], [2661, 5224], [75, 1115], [6344, 10666], [763, 4899], [947, 1044], [2662, 8832], [3567, 4737], [3928, 7934], [3685, 8930], [3965, 11199], [228, 4740], [6138, 9285], [5234, 8320], [5517, 10106], [8688, 11458], [2967, 9818], [911, 1737], [308, 9580], [5858, 7366], [2393, 5567], [5450, 5851], [6602, 8049], [984, 2400], [9397, 10053], [2979, 6795], [1826, 4372], [9136, 11217], [263, 6023], [176, 362], [4902, 8089], [883, 2698], [4907, 8433], [1282, 2215], [5614, 10015], [1474, 2385], [7908, 10313], [12, 2590], [5944, 9368], [4209, 9973], [1186, 9273], [1401, 10393], [345, 2241], [2734, 11471], [2555, 10008], [1681, 7000], [5607, 9194], [430, 10458], [6846, 10637], [9679, 11213], [2919, 10470], [273, 3304], [1515, 5018], [6308, 6797], [2607, 7165], [2135, 7355], [7238, 10868], [7430, 11038], [391, 10880], [10938, 11029], [4553, 9409], [260, 5701], [4124, 7017], [5402, 8388], [1572, 5902], [2258, 2443], [5802, 9261], [2723, 4465], [1506, 10917], [787, 4814], [2803, 9332], [279, 6101], [9339, 11121], [318, 5275], [3404, 10461], [7059, 7496], [586, 10193], [4271, 10046], [9180, 10310], [1828, 8874], [1986, 9460], [88, 2719], [8116, 10561], [3443, 6632], [3164, 7217], [1491, 2284], [8667, 10849], [19, 8217], [4098, 11407], [2880, 4425], [502, 10845], [1166, 3655], [6742, 9078], [2874, 10272], [4393, 10574], [3241, 4589], [5171, 7835], [312, 7688], [4362, 5976], [2925, 10210], [6996, 9375], [560, 10419], [8810, 10726], [5880, 6053], [3767, 7264], [5666, 11197], [2741, 11032], [150, 5825], [9583, 9895], [1682, 8244], [5717, 7752], [2942, 4148], [4168, 5329], [2941, 4677], [10670, 10917], [543, 2494], [5985, 9637], [4281, 5391], [2280, 8351], [2221, 11154], [2756, 8280], [6087, 6881], [6149, 7759], [9200, 9726], [514, 10774], [1653, 2187], [1307, 1550], [6697, 7749], [6511, 11531], [7595, 9653], [1769, 9717], [2235, 8958], [6655, 8277], [2458, 4277], [1057, 10420], [2390, 9246], [3608, 5648], [2419, 7732], [7398, 8735], [7458, 9540], [25, 3793], [10345, 11133], [7243, 8797], [5581, 10469], [2224, 4231], [4534, 9196], [9666, 11195], [827, 4831], [6825, 9223], [6644, 6933], [6750, 7359], [2899, 10412], [3210, 7830], [533, 1351], [1525, 6300], [3419, 11387], [0, 4271], [1830, 10319], [4383, 7872], [1370, 7860], [2265, 3077], [2614, 3985], [2672, 7373], [4327, 4530], [2812, 6629], [978, 1593], [2002, 10961], [1945, 10427], [1849, 4303], [8815, 11338], [1607, 7399], [660, 5606], [1341, 1803], [4081, 10516], [1813, 4242], [5168, 8155], [4705, 6179], [987, 11104], [6138, 10871], [4861, 6692], [1108, 6146], [7995, 8162], [2792, 8205], [6097, 7837], [6990, 8643], [622, 9636], [6215, 9778], [5783, 10121], [7956, 8207], [6153, 8900], [492, 895], [9204, 10867], [7014, 10168], [3028, 6388], [1622, 10689], [3473, 4752], [3311, 6676], [5459, 11313], [1278, 3682], [2590, 7293], [842, 3529], [3992, 6256], [2891, 11193], [8847, 9667], [4236, 6616], [4573, 6009], [5849, 9963], [1856, 6547], [6031, 9445], [1857, 2985], [743, 6906], [645, 3365], [303, 3601], [514, 3821], [6336, 10431], [878, 9201], [2975, 6703], [1626, 6620], [6106, 6744], [3963, 9998], [267, 10710], [6162, 7807], [7168, 10180], [2459, 6594], [3613, 9619], [683, 4946], [10209, 11459], [6383, 9846], [2670, 7945], [1304, 5229], [6971, 10016], [7148, 11406], [3662, 8730], [4606, 10979], [2602, 3088], [3668, 10430], [1397, 4639], [9387, 11243], [1944, 4808], [3131, 6061], [7609, 9522], [2814, 3910], [5432, 6776], [542, 5064], [578, 4721], [676, 1092], [7795, 9123], [916, 11132], [4685, 9178], [8878, 9272], [3711, 8972], [1968, 3300], [789, 1908], [5212, 11324], [1415, 4814], [2502, 8869], [7848, 9134], [8316, 11454], [3240, 6354], [4422, 7263], [308, 5018], [6200, 6705], [1490, 9310], [3567, 5436], [2828, 8480], [3548, 11021], [2478, 10353], [1826, 6226], [5542, 7644], [2892, 9404], [6469, 7280], [9707, 9854], [1020, 8048], [868, 9906], [426, 9561], [555, 5245], [5928, 10339], [3249, 9449], [1019, 3659], [9973, 10535], [2034, 6148], [3506, 7762], [2011, 2192], [1042, 2330], [8875, 8950], [2127, 3306], [5736, 10519], [3962, 5534], [2994, 8526], [3123, 4210], [2676, 3521], [2896, 5739], [4360, 5580], [4019, 9451], [3706, 4790], [2097, 3814], [2310, 11277], [3802, 4498], [10271, 10727], [2859, 5857], [3552, 10739], [4076, 9204], [2013, 4116], [280, 5548], [1856, 10548], [9739, 10839], [1272, 10497], [2982, 7361], [4992, 8681], [513, 8001], [2328, 6571], [3264, 4041], [3759, 10436], [1261, 5420], [946, 10512], [137, 8653], [9092, 9715], [2479, 10123], [1732, 8388], [5770, 11577], [111, 10815], [10911, 11410], [2783, 10534], [10429, 10912], [5766, 7671], [5640, 9252], [3804, 9805], [8692, 9192], [7348, 9453], [2556, 10528], [3433, 10801], [2683, 10303], [7402, 9689], [189, 6160], [8153, 11543], [741, 6673], [3106, 11345], [4751, 7814], [2829, 6341], [2206, 7116], [1580, 4210], [1337, 4452], [5062, 5232], [216, 7202], [3377, 3702], [3998, 6264], [452, 3537], [9455, 10275], [770, 2126], [1052, 1058], [1978, 4256], [1795, 5303], [4723, 9149], [2066, 3322], [5830, 7440], [6525, 6733], [7519, 8345], [1473, 6191], [237, 8429], [3176, 6048], [9913, 11503], [5054, 9104], [10525, 10569], [1965, 10036], [3210, 8261], [2284, 11479], [8743, 10604], [3323, 5694], [1153, 7125], [9654, 10461], [802, 6144], [0, 4702], [2305, 2907], [935, 9117], [6837, 7385], [5751, 8436], [4510, 10330], [864, 10405], [1800, 7875], [8088, 9562], [545, 5175], [1510, 7547], [1742, 7116], [2012, 2281], [2967, 4719], [852, 5857], [4401, 5849], [6680, 9249], [3901, 11161], [3927, 10130], [2817, 10787], [7294, 11394], [1132, 11509], [4924, 11259], [10989, 11211], [598, 2153], [1530, 9303], [7247, 7791], [2023, 6203], [9275, 9660], [2836, 11187], [1621, 5634], [115, 2157], [92, 453], [4192, 4520], [9582, 11473], [1664, 7963], [5194, 10157], [3626, 9212], [3383, 5290], [1408, 6465], [4815, 10511], [4466, 10357], [6236, 11436], [8500, 9640], [9620, 9671], [5366, 11553], [313, 987], [311, 10740], [1505, 6748], [8499, 9415], [223, 8641], [127, 2517], [1058, 6059], [3337, 5295], [9283, 9497], [1279, 11131], [1566, 10407], [7533, 9070], [35, 2928], [2839, 11434], [4601, 8488], [2607, 5449], [6543, 8331], [342, 9272], [3206, 9915], [7440, 10010], [4699, 5990], [9831, 10241], [8989, 9400], [2666, 9412], [8643, 8763], [207, 3570], [730, 5597], [5938, 6652], [87, 9103], [2465, 8375], [5441, 9229], [4557, 5533], [1071, 2857], [1048, 7569], [3593, 6015], [5047, 5168], [793, 7050], [252, 2939], [6162, 8238], [4981, 10183], [783, 3329], [6611, 8973], [560, 6475], [6069, 8424], [3206, 5727], [2461, 4819], [2063, 10408], [4701, 4881], [5074, 9593], [2204, 9135], [2276, 11455], [5013, 9317], [1157, 7862], [492, 9165], [6120, 8362], [808, 11091], [9116, 10622], [7361, 9851], [3352, 5148], [10194, 10427], [4308, 10440], [5058, 8686], [4402, 9321], [1720, 2498], [4226, 11539], [7232, 10380], [1757, 5763], [580, 5198], [6273, 11206], [3957, 6426], [5483, 7145], [2491, 5758], [823, 7585], [1408, 8238], [11272, 11363], [2707, 4070], [2079, 10136], [6850, 8184], [9902, 10376], [2560, 10409], [9771, 10859], [6003, 9251], [6445, 10350], [7066, 8748], [5323, 9492], [1714, 3033], [2305, 2720], [1403, 4080], [400, 5388], [4565, 9850], [3049, 3403], [8929, 9991], [2816, 10779], [1443, 6138], [2795, 9902], [116, 2596], [603, 2714], [544, 5517], [3224, 5097], [157, 1092], [1466, 4028], [2904, 6812], [7945, 8693], [2277, 10097], [5916, 9605], [7015, 8759], [1124, 4264], [5010, 7059], [8093, 8564], [223, 6226], [4700, 6079], [3547, 4410], [2247, 11359], [3856, 5165], [3487, 9240], [2300, 7987], [837, 11000], [1804, 4373], [5102, 6998], [3944, 10647], [2449, 5077], [1573, 4625], [4487, 10293], [2649, 7767], [106, 4486], [6924, 10869], [5895, 10956], [1308, 6047], [3838, 9066], [11019, 11559], [3555, 10663], [9209, 11081], [7691, 10223], [8806, 9910], [2278, 6484], [10917, 11282], [2825, 6653], [903, 5180], [7530, 8585], [2728, 6720], [1179, 10713], [2338, 9918], [4974, 9980], [7591, 9992], [53, 5949], [6747, 9078], [4685, 6844], [4618, 5622], [4683, 10181], [1670, 10169], [1197, 7505], [5773, 11501], [3689, 5536], [1815, 9769], [9196, 9664], [6582, 6917], [1666, 9646], [780, 5123], [353, 9974], [2722, 5720], [812, 1628], [414, 7217], [944, 3999], [4243, 9478], [1894, 8722], [966, 8861], [4727, 9298], [4577, 5567], [5410, 6322], [4131, 5480], [4354, 7215], [3542, 5085], [5524, 6609], [1300, 4950], [355, 5482], [2414, 6664], [4038, 8672], [728, 7942], [5991, 8704], [8668, 9521], [258, 5549], [5280, 7380], [2968, 8004], [3377, 6711], [5769, 10577], [4834, 9545], [4583, 5762], [8230, 9295], [5766, 9525], [733, 5253], [2030, 6674], [3238, 6552], [903, 9636], [3189, 10043], [2623, 7188], [3497, 7944], [3681, 10505], [446, 5196], [369, 3286], [4491, 9556], [1965, 9662], [3871, 9848], [6421, 8638], [4637, 9381], [4912, 11306], [1938, 10468], [1837, 4000], [4257, 6127], [1278, 5699], [1770, 5407], [3948, 8755], [3382, 5900], [4720, 11486], [4255, 8683], [2166, 2374], [7403, 9085], [478, 3579], [3134, 9181], [1207, 3954], [5247, 7216], [9111, 9286], [2821, 4520], [300, 4970], [21, 5555], [1268, 11023], [2137, 7271], [2701, 9299], [1944, 7630], [4337, 7934], [887, 11331], [9531, 10811], [1868, 2158], [7736, 11365], [8814, 11170], [2871, 4233], [789, 1347], [2535, 4284], [379, 9585], [5037, 6066], [4388, 7872], [1936, 9617], [8009, 9430], [2376, 3473], [180, 5211], [9961, 10745], [3612, 4618], [709, 1768], [2018, 8868], [2104, 3724], [1209, 6255], [5094, 9202], [3790, 6610], [1856, 4376], [4692, 8633], [2355, 4474], [2222, 4884], [6246, 8367], [2533, 6466], [5060, 9968], [2417, 8735], [793, 1065], [1971, 4484], [1807, 9745], [7667, 8511], [6323, 9526], [2154, 6820], [9437, 9590], [7353, 10041], [2558, 5183], [4022, 5024], [7320, 7649], [7352, 10570], [561, 8262], [4143, 6482], [2961, 5573], [1422, 9530], [333, 5402], [6563, 9363], [3113, 6344], [1394, 8236], [5967, 7797], [3634, 5292], [6164, 8311], [2761, 8144], [2945, 7699], [4746, 11097], [2624, 8812], [2909, 5009], [6300, 10831], [8074, 9400], [9727, 9894], [8173, 9379], [6796, 11412], [6108, 7628], [287, 8036], [4528, 10056], [7819, 11510], [3953, 9367], [694, 10080], [9252, 9786], [1411, 8940], [819, 4864], [3921, 9829], [7374, 10113], [5266, 6006], [813, 10711], [2962, 9157], [1332, 2416], [347, 8437], [2799, 10856], [3485, 7397], [2143, 9239], [3012, 5487], [5849, 9215], [8648, 10961], [8922, 10032], [6193, 9779], [9393, 9617], [5009, 5791], [9169, 9909], [1077, 5280], [2171, 4090], [2319, 3988], [3225, 9917], [2855, 3968], [5279, 6591], [4959, 11339], [1851, 11467], [7269, 9888], [113, 9145], [2842, 9398], [46, 753], [7415, 9713], [223, 6307], [753, 3089], [5212, 7998], [1655, 11528], [3116, 5436], [4239, 11400], [5925, 7870], [536, 7935], [6009, 6063], [1377, 2135], [8715, 11028], [3180, 6360], [348, 2222], [1740, 6913], [2893, 5549], [9279, 10777], [10495, 10516], [2928, 7987], [3953, 8912], [7924, 10125], [3760, 8517], [2385, 10219], [293, 10809], [9236, 10326], [2323, 7089], [5990, 11274], [1410, 3372], [385, 10748], [789, 4193], [2315, 2660], [4651, 9600], [3648, 10154], [6297, 8923], [7355, 11486], [191, 302], [251, 353], [6541, 9283], [7036, 9262], [2347, 11216], [2003, 11406], [1148, 8448], [7898, 8503], [217, 4906], [1966, 11524], [6264, 9914], [3358, 9799], [3523, 5140], [1553, 3249], [5539, 10412], [4104, 4893], [1958, 10882], [2304, 5103], [1891, 2490], [1920, 8146], [5996, 6901], [4005, 4133], [1742, 8783], [8172, 9422], [7494, 10490], [5061, 6623], [8268, 9884], [4340, 10273], [8116, 10244], [714, 5308], [6335, 10504], [8140, 8386], [7923, 9849], [1114, 6181], [39, 5169], [6983, 8473], [6546, 8472], [3529, 4554], [480, 2633], [3465, 7013], [1, 5816], [4775, 10551], [2627, 2881], [3308, 6248], [6298, 10972], [288, 9229], [3514, 10288], [3420, 9872], [6446, 7837], [7282, 8109], [3641, 8528], [3226, 10006], [6958, 9705], [8021, 8448], [1354, 8650], [3728, 4740], [2504, 10021], [8264, 11589], [2015, 7578], [3312, 8245], [5676, 7811], [8175, 9265], [1543, 11151], [3812, 9699], [6768, 9177], [8046, 10548], [5448, 8334], [7077, 10686], [1378, 6361], [1003, 4232], [4389, 5546], [4671, 8642], [5786, 8329], [2176, 10313], [3800, 11567], [469, 4298], [5474, 6522], [195, 5227], [1681, 7301], [535, 1885], [246, 8198], [3042, 3257], [4514, 7877], [376, 7490], [4908, 11214], [2740, 2892], [4369, 4520], [1801, 8534], [863, 10237], [8204, 10733], [1583, 6362], [420, 9667], [2627, 7337], [9344, 11416], [1940, 10571], [7313, 9249], [2490, 8005], [5824, 6877], [3590, 10767], [2494, 8878], [2026, 2394], [226, 2604], [2746, 9099], [1748, 10751], [4174, 7031], [6600, 10481], [687, 4884], [3290, 8970], [7366, 8479], [812, 10248], [8807, 10780], [9244, 11535], [4655, 5799], [2037, 6316], [5522, 8767], [6464, 10189], [3255, 10265], [8348, 8926], [2133, 3745], [4048, 7457], [3154, 7180], [5798, 11267], [1247, 1851], [1470, 10756], [3836, 6985], [2742, 11558], [9094, 10032], [1465, 6625], [2580, 6312], [209, 3323], [10026, 10766], [9235, 9513], [8276, 10339], [7505, 11216], [4379, 6631], [3257, 5773], [5956, 8069], [2012, 3761], [2941, 11394], [145, 9165], [5268, 6914], [319, 8005], [2502, 6779], [7271, 11170], [811, 1297], [1187, 10444], [9284, 9755], [1120, 2806], [2069, 11061], [2160, 11179], [10028, 10438], [4302, 7700], [8166, 9770], [1404, 5948], [3465, 3793], [4733, 10138], [4709, 5580], [8778, 10334], [621, 4556], [7069, 10662], [5172, 10939], [4662, 8393], [1203, 10546], [3718, 3865], [5161, 9245], [3757, 9455], [1541, 10541], [5374, 10292], [9660, 10577], [5186, 10995], [4219, 11206], [637, 8822], [291, 8185], [8243, 10525], [6213, 7829], [9754, 10212], [7264, 9975], [2068, 4019], [3434, 7489], [1352, 11019], [4862, 5421], [5804, 6089], [2280, 7847], [167, 2642], [1694, 4717], [5861, 10006], [5859, 9933], [2657, 11180], [103, 8484], [561, 3700], [2272, 9834], [4481, 8331], [899, 3695], [441, 2063], [2617, 11000], [5998, 8964], [5535, 7742], [3086, 9758], [4471, 11026], [1962, 5821], [4071, 7120], [4320, 7824], [5440, 7855], [8363, 11357], [4187, 8234], [10061, 10870], [208, 5625], [2746, 8562], [1041, 9009], [2519, 6304], [3678, 6263], [4108, 11509], [2862, 6643], [7066, 11033], [499, 2017], [4705, 6480], [7253, 10859], [18, 5127], [5136, 8918], [5633, 9724], [8367, 11075], [4938, 8933], [4222, 9517], [1520, 11087], [3423, 5340], [89, 806], [2327, 3451], [2294, 7475], [112, 7391], [19, 4948], [2319, 9225], [8769, 11240], [7668, 9007], [2938, 4544], [4092, 4159], [7631, 9879], [4470, 6963], [2662, 3148], [6864, 10875], [7136, 9119], [2318, 8973], [4424, 10001], [6886, 8190], [1903, 9697], [7419, 8653], [5568, 8174], [4590, 11202], [2586, 7475], [2374, 9282], [6380, 10304], [7601, 10387], [5758, 7517], [2520, 2691], [11454, 11544], [163, 7679], [2245, 4149], [216, 10723], [5935, 10038], [6628, 10002], [4441, 7322], [50, 2325], [669, 8224], [1264, 6155], [4903, 4909], [7275, 10752], [4935, 7830], [1201, 11468], [1392, 8784], [3443, 5941], [516, 11365], [6232, 6245], [4373, 9258], [1350, 8558], [2185, 2189], [3345, 11418], [164, 7126], [4106, 10607], [97, 5904], [5823, 7888], [5107, 8472], [3842, 5808], [3959, 6393], [1960, 3010], [8367, 9115], [1252, 8373], [3240, 10843], [6722, 9613], [19, 2988], [1085, 6166], [2647, 7296], [8211, 8952], [2638, 3046], [2426, 4853], [2109, 9118], [5497, 9007], [3043, 10679], [1449, 10765], [5778, 7714], [7980, 11456], [2352, 10007], [6397, 10203], [2228, 8251], [543, 8219], [2105, 9349], [2229, 4689], [3277, 9570], [2432, 5048], [2476, 10982], [6022, 7293], [8697, 11447], [6145, 9578], [6262, 10917], [10343, 10770], [35, 10637], [4386, 5655], [2419, 6691], [533, 1465], [8748, 10631], [6566, 8295], [7622, 10785], [2644, 8472], [9922, 10898], [2539, 4514], [837, 5259], [2444, 5408], [8080, 10882], [2268, 3462], [1638, 7230], [1330, 2159], [1696, 6454], [11480, 11505], [10069, 10544], [4379, 8217], [2287, 4643], [7087, 9845], [8379, 8670], [2310, 4812], [2315, 2904], [3619, 5496], [1468, 4725], [4582, 4789], [6223, 10184], [6660, 6775], [7544, 8219], [8965, 11396], [462, 4981], [2154, 11065], [6659, 9933], [10026, 11197], [1268, 9925], [10328, 10781], [2945, 8561], [926, 10161], [5835, 10425], [1645, 9094], [3324, 10809], [7216, 8511], [2015, 2211], [1755, 7010], [691, 3878], [3313, 4234], [169, 11121], [3187, 5815], [9035, 9482], [3488, 8961], [4716, 10215], [5303, 9783], [5148, 5708], [882, 10239], [323, 2139], [158, 382], [2439, 6861], [3315, 4280], [3557, 10229], [6234, 10292], [2055, 3488], [1310, 2580], [2405, 10660], [4399, 11447], [3267, 3485], [8868, 10658], [3235, 4701], [1715, 7180], [1082, 3103], [154, 9658], [6183, 9199], [646, 10120], [4156, 10938], [4006, 7207], [9515, 11408], [7089, 8712], [1421, 10116], [1641, 8170], [2105, 6584], [7767, 11027], [5967, 11237], [979, 5984], [4960, 8639], [8707, 9370], [4929, 7074], [5831, 9097], [6417, 8440], [5090, 11314], [413, 3479], [4736, 10035], [1832, 3577], [1154, 4645], [806, 3181], [1800, 11209], [4164, 6611], [5998, 9395], [2235, 8885], [927, 4639], [92, 7975], [1585, 10466], [3321, 6299], [1829, 6662], [3293, 10667], [1509, 11410], [4380, 8306], [6312, 8215], [3540, 4882], [268, 10271], [2560, 6359], [8441, 10166], [502, 5779], [314, 6482], [5612, 8928], [5825, 9975], [572, 3485], [2585, 10738], [7685, 8318], [7659, 9349], [3485, 6299], [1599, 7489], [592, 11307], [1552, 6919], [748, 5404], [1617, 5816], [5935, 11274], [10953, 11451], [521, 9562], [10987, 11035], [1646, 9937], [4918, 11341], [6273, 9734], [2355, 11565], [4910, 10699], [579, 3501], [2225, 2824], [3092, 8825], [9198, 11030], [4721, 11177], [1794, 10185], [7227, 8914], [1251, 6001], [162, 1119], [2806, 5960], [3052, 9399], [970, 3507], [4058, 5356], [1718, 8096], [2804, 2881], [5257, 9652], [7590, 9905], [1501, 3897], [1284, 5360], [592, 10502], [876, 3845], [181, 2300], [1407, 3481], [2262, 7967], [6938, 9161], [3302, 9924], [1652, 6695], [1960, 11012], [745, 1295], [244, 10169], [430, 2977], [2952, 5381], [1204, 5781], [7993, 8016], [243, 10698], [854, 8408], [632, 3111], [4315, 6301], [3465, 10103], [2167, 11463], [6107, 11111], [295, 3691], [2626, 9533], [610, 8398], [5610, 8026], [2061, 10663], [7591, 9325], [3895, 9283], [339, 5868], [6295, 11512], [1832, 4195], [2117, 7562], [6260, 8293], [4978, 10186], [5671, 7898], [5633, 11578], [1583, 6874], [2980, 9657], [3608, 9226], [6254, 7724], [6880, 11384], [1641, 4600], [5104, 9736], [4109, 10905], [617, 7660], [1135, 2927], [6427, 8591], [3939, 9181], [5840, 9777], [1351, 7655], [5771, 6974], [6557, 7883], [826, 5555], [3312, 8302], [7768, 8032], [2467, 10950], [297, 5211], [230, 3989], [3869, 6907], [1854, 5997], [1220, 1695], [1404, 2004], [2651, 3308], [6350, 7031], [1367, 8538], [5510, 9269], [1936, 4494], [2863, 11300], [812, 7727], [8191, 10205], [8905, 9548], [10584, 11263], [2401, 6516], [3485, 3884], [379, 7845], [1238, 3405], [683, 1840], [6746, 7381], [4605, 7298], [1799, 5135], [398, 9026], [7374, 10333], [640, 8559], [6529, 6565], [4617, 7308], [2998, 6398], [3414, 5522], [575, 7383], [690, 11305], [1595, 3046], [6051, 9192], [2004, 8169], [3683, 9884], [1068, 4283], [2845, 6533], [2525, 7117], [5458, 11307], [7723, 10867], [7633, 7941], [5167, 11508], [6106, 9249], [991, 8385], [1372, 11460], [118, 2569], [2268, 6121], [1019, 3236], [2545, 8119], [547, 4180], [1079, 11588], [8866, 11417], [3756, 5235], [1409, 6804], [3721, 8432], [6986, 8665], [1793, 7144], [783, 7281], [7102, 9779], [7265, 11463], [1107, 2652], [3806, 11364], [2367, 8355], [5693, 7366], [407, 4900], [5790, 10682], [3365, 10840], [3888, 5697], [5044, 6139], [61, 7646], [2473, 5748], [2629, 6261], [6406, 9086], [4591, 7510], [2411, 8253], [1382, 3422], [3839, 6185], [1346, 1513], [3092, 10866], [1257, 2195], [2370, 5219], [231, 5209], [2185, 2433], [6260, 11139], [195, 2519], [5324, 7253], [5575, 11036], [819, 5352], [3587, 11195], [6008, 7885], [4368, 5344], [309, 9222], [2864, 8356], [4861, 8660], [6225, 9051], [7376, 8395], [549, 6430], [8300, 10766], [5037, 8327], [1487, 10362], [2488, 5975], [3014, 5267], [988, 3444], [7106, 8692], [2311, 3834], [1440, 6759], [4867, 5822], [104, 5383], [319, 7257], [3596, 4841], [7538, 8322], [1405, 11087], [5918, 7187], [559, 2930], [3800, 5021], [5381, 10365], [1581, 9219], [1119, 10851], [3359, 8661], [6553, 10936], [1417, 11447], [1544, 7058], [267, 2879], [1505, 4097], [4901, 10263], [285, 6868], [825, 4338], [5274, 9313], [8008, 9910], [1974, 2855], [4271, 9867], [287, 6914], [1089, 1940], [306, 4712], [5675, 6624], [30, 9732], [2055, 7920], [1148, 8936], [6031, 7225], [8410, 10829], [960, 8885], [740, 4415], [3024, 4749], [1085, 7833], [2026, 5647], [2702, 8670], [3792, 9990], [244, 10600], [4903, 5771], [1386, 1530], [1482, 8408], [763, 2305], [4412, 6665], [9577, 10302], [1976, 8943], [164, 1222], [5123, 11372], [5494, 7343], [3040, 8261], [1344, 4687], [1318, 3466], [5702, 7292], [2909, 9498], [266, 8265], [2284, 9446], [190, 2793], [10067, 10287], [1590, 5093], [3744, 3883], [1627, 8358], [787, 10596], [5758, 7574], [1188, 5278], [718, 8547], [6470, 10254], [3576, 5238], [778, 6346], [10292, 11344], [3454, 9190], [1393, 4929], [9235, 9383], [3263, 3960], [3925, 8775], [4006, 7451], [4935, 10920], [5405, 6897], [8641, 8644], [582, 6407], [3546, 5746], [5838, 5998], [2983, 4320], [3194, 10956], [672, 2136], [4317, 9006], [4692, 8129], [5595, 9623], [2942, 7702], [3568, 4192], [1099, 4832], [455, 6982], [3839, 9381], [9193, 9507], [1973, 11223], [1373, 3122], [1154, 7922], [256, 356], [6446, 7170], [3583, 4473], [2989, 10150], [4171, 11059], [5819, 11209], [9160, 10498], [8716, 9326], [3267, 9340], [3538, 8113], [2017, 3574], [1619, 6911], [10583, 11469], [5313, 9536], [5779, 11029], [9552, 10729], [3105, 8231], [1854, 5273], [10880, 11463], [3010, 4961], [5566, 6949], [1952, 2775], [5742, 8114], [2502, 8877], [697, 8743], [1793, 1964], [105, 4667], [1251, 3667], [2446, 9699], [8475, 9240], [7628, 11061], [4178, 8042], [2096, 5156], [812, 10386], [2874, 8833], [1907, 5634], [4137, 8391], [935, 5474], [4419, 5071], [1337, 6420], [530, 1224], [810, 3493], [4507, 10553], [3044, 9402], [2765, 9987], [5191, 7021], [9955, 10314], [6987, 9321], [9007, 11329], [2976, 7955], [6307, 7310], [3498, 10511], [3123, 4218], [8446, 9949], [5366, 8715], [8703, 10514], [4154, 9095], [4806, 6806], [7354, 11185], [408, 4802], [5074, 7560], [623, 6676], [8028, 10375], [1343, 2801], [5231, 9429], [1279, 5260], [692, 7944], [5824, 9943], [5941, 10528], [2556, 8658], [9467, 9570], [2488, 7211], [3825, 5779], [5755, 11277], [153, 4633], [7840, 11428], [2190, 3612], [1329, 11389], [6408, 9590], [360, 11527], [6249, 8779], [4659, 6355], [2756, 5686], [1753, 6240], [101, 7102], [3251, 9829], [9347, 10592], [1131, 3453], [3813, 4614], [2753, 8798], [3739, 6385], [356, 4588], [1404, 3053], [5798, 7567], [510, 10690], [2895, 11133], [384, 5855], [2177, 2222], [4642, 4846], [9001, 10305], [8624, 10355], [2079, 11486], [2860, 11297], [279, 5280], [6168, 8948], [7221, 7757], [3484, 5462], [53, 8909], [4129, 8418], [5972, 8255], [487, 9366], [922, 2124], [3170, 6211], [5833, 8850], [4502, 7818], [6895, 8122], [2993, 10486], [4221, 5324], [3873, 8024], [628, 8443], [4088, 5734], [7606, 10577], [9502, 10829], [5331, 8050], [123, 6995], [3930, 7777], [6602, 7496], [5327, 10560], [872, 8022], [6572, 9539], [4041, 8547], [871, 8551], [1993, 2239], [217, 3597], [1855, 2305], [3201, 7752], [21, 9320], [6029, 7984], [4909, 8707], [733, 11246], [6593, 10766], [525, 4881], [17, 5414], [765, 7751], [8674, 9263], [6900, 8442], [5773, 7240], [1974, 6319], [4274, 10596], [7331, 10880], [1657, 4922], [1417, 8845], [7296, 7661], [73, 9860], [4734, 5858], [5587, 7989], [566, 6760], [822, 4471], [3017, 11206], [5458, 8518], [928, 11313], [9811, 10779], [907, 10436], [967, 4071], [3587, 3600], [3826, 10032], [208, 1575], [1525, 6284], [2834, 8466], [1954, 7895], [8234, 11219], [5758, 9160], [796, 11544], [6431, 7748], [930, 1910], [4159, 8902], [3999, 10899], [231, 9291], [3309, 4036], [1765, 8373], [3286, 8748], [10507, 10640], [1445, 2541], [5586, 6609], [1608, 4225], [7325, 9129], [324, 3039], [5673, 9237], [3061, 3153], [692, 991], [2089, 3774], [2534, 10806], [3066, 7661], [6822, 7754], [13, 10502], [1063, 3378], [1224, 10651], [2900, 5679], [5425, 8354], [8219, 9756], [2429, 9477], [254, 10564], [3, 365], [4509, 5874], [1582, 4882], [6227, 6763], [2025, 8835], [877, 6756], [4662, 9499], [128, 9112], [5938, 10043], [124, 5206], [9645, 11375], [5717, 8354], [4538, 11126], [1455, 3205], [3591, 8579], [47, 263], [10134, 11539], [5812, 8591], [7083, 8037], [2900, 7907], [3240, 4565], [4370, 9448], [1187, 4329], [815, 8887], [3616, 7296], [3083, 4581], [1348, 5186], [5044, 5228], [2251, 6680], [6045, 7257], [2654, 11234], [6104, 7837], [5504, 9535], [8121, 9547], [4136, 9402], [1113, 8702], [992, 10627], [6477, 10270], [4472, 8570], [8261, 8803], [2411, 4309], [699, 6618], [4530, 6296], [1302, 2158], [9267, 11149], [141, 11171], [669, 11290], [982, 6125], [7704, 10548], [3566, 10161], [3277, 3642], [4097, 9797], [5083, 10794], [5268, 9793], [6732, 9634], [4122, 4377], [4922, 9156], [3776, 7904], [8447, 11006], [2332, 5305], [9367, 10225], [1831, 7009], [7197, 9404], [3584, 4701], [2121, 3550], [4829, 10096], [5235, 10784], [2921, 8329], [4724, 5384], [1296, 6850], [5287, 10193], [6925, 9655], [3979, 4449], [651, 9529], [1169, 11212], [9429, 11453], [6309, 10820], [2311, 9689], [2, 1162], [2133, 11080], [941, 8729], [5398, 11313], [8070, 11032], [3676, 6518], [5367, 9748], [3454, 6856], [2549, 8699], [7010, 8773], [6783, 9548], [5253, 7175], [9428, 10073], [7439, 8132], [2514, 8863], [3794, 4645], [1273, 10757], [5523, 5723], [2202, 5558], [7212, 8126], [5193, 6720], [4154, 8371], [4811, 6426], [1948, 7139], [1177, 8016], [1015, 9186], [3074, 11122], [7864, 9220], [5612, 7643], [7052, 7090], [944, 4812], [1950, 7185], [6015, 6535], [7766, 9816], [385, 4259], [1073, 3879], [5553, 7413], [3547, 10029], [3875, 9306], [8352, 9159], [8161, 10345], [6359, 9728], [380, 2380], [2842, 5487], [6293, 11360], [1907, 10871], [4641, 11468], [2578, 6380], [962, 9151], [2799, 5790], [5309, 6679], [1334, 1560], [991, 4604], [2851, 5199], [7121, 11367], [8575, 10520], [581, 8678], [1949, 6559], [1643, 3069], [7279, 8543], [1114, 2725], [4844, 8013], [6251, 11484], [4436, 10662], [2039, 6452], [7543, 10309], [927, 6282], [9048, 10151], [117, 815], [3969, 5534], [4557, 5704], [4078, 5477], [7042, 8980], [657, 7360], [1054, 4552], [1103, 11584], [2872, 9809], [4455, 4646], [3615, 6884], [1960, 3311], [4112, 7690], [3701, 6658], [406, 544], [5261, 6207], [1395, 4064], [4010, 7413], [7538, 9534], [3362, 5657], [10774, 11281], [2147, 8772], [10672, 11004], [5151, 5288], [7812, 11234], [718, 11369], [5653, 6438], [390, 5676], [8336, 9699], [7455, 9684], [3754, 5888], [574, 10866], [5343, 8841], [5341, 8014], [9257, 9520], [3402, 4682], [1099, 4271], [890, 6349], [5993, 9108], [6537, 9760], [4458, 10555], [3687, 11432], [3589, 7891], [1101, 4317], [2457, 6345], [2964, 7839], [2585, 11226], [8091, 9494], [185, 7499], [1219, 2094], [3552, 8763], [2082, 4189], [903, 6961], [2800, 10067], [1179, 6078], [5473, 6978], [1333, 9928], [3826, 7430], [7735, 8519], [830, 10805], [646, 8998], [3473, 5622], [711, 7141], [2230, 6689], [945, 2649], [5313, 5942], [9208, 9577], [8945, 10695], [196, 841], [1478, 2331], [2097, 10482], [1058, 3465], [4860, 10319], [8354, 10604], [6503, 10125], [1897, 7418], [386, 1315], [752, 11272], [2526, 3425], [595, 11288], [2312, 9323], [2066, 5884], [502, 2429], [5226, 8575], [7251, 10927], [6716, 7385], [819, 10215], [5348, 10258], [1120, 11109], [2271, 6289], [9399, 11400], [4953, 6696], [4330, 7471], [2974, 4719], [3548, 7435], [8238, 8335], [1509, 6905], [2725, 6644], [8619, 11410], [1443, 2121], [7402, 11446], [668, 5508], [4757, 9386], [7916, 9223], [7952, 8880], [2936, 11001], [6205, 8724], [2342, 10262], [2529, 3672], [2437, 10499], [1912, 7645], [5823, 8807], [1129, 11171], [1502, 9467], [4428, 10234], [2203, 7070], [4355, 11449], [6036, 6821], [7751, 10445], [1242, 11233], [2261, 4796], [27, 7932], [2446, 3795], [1370, 9698], [7779, 9460], [5403, 6127], [7710, 11575], [2015, 4740], [2016, 7594], [6555, 9079], [1911, 3636], [7172, 7735], [1172, 6680], [2041, 2928], [3508, 6450], [6111, 8284], [1567, 7209], [569, 8107], [1847, 3062], [7550, 10512], [602, 9718], [1445, 11161], [822, 5520], [7503, 9942], [1942, 5551], [1529, 10108], [1434, 3832], [8192, 10918], [3274, 6404], [1152, 4119], [9113, 9985], [711, 10792], [28, 936], [5998, 9696], [5626, 7838], [6630, 10138], [6491, 6596], [8022, 8413], [6207, 7591], [1580, 4007], [169, 9462], [337, 11490], [640, 9047], [4664, 8366], [5600, 5836], [573, 1409], [3718, 3792], [2296, 9058], [1890, 8370], [2079, 11275], [1019, 11295], [456, 9869], [384, 7522], [4028, 11538], [6201, 9624], [5012, 5292], [2245, 8719], [9127, 10391], [1404, 1687], [5175, 6976], [3016, 7842], [261, 6368], [4486, 9383], [4732, 8658], [7564, 10544], [6222, 7468], [281, 1358], [1810, 5758], [2668, 3345], [7222, 10026], [1360, 10433], [5226, 6160], [799, 5670], [8641, 10124], [771, 3622], [1760, 11306], [4341, 5245], [2386, 7796], [4790, 5980], [2001, 11368], [1784, 6415], [6869, 8568], [2230, 9885], [2376, 9710], [2911, 6836], [1538, 6359], [9323, 10279], [2812, 10240], [3268, 4629], [6080, 10744], [292, 7128], [4077, 9871], [7163, 8641], [2715, 3110], [6944, 10031], [8654, 11059], [2957, 9059], [994, 8339], [1990, 10024], [1543, 2165], [2045, 3315], [1355, 2868], [4567, 6473], [394, 7031], [1579, 8211], [7207, 7408], [7766, 9092], [2580, 3824], [5312, 10764], [882, 3587], [5250, 7634], [52, 7267], [6953, 9743], [599, 7436], [2660, 5281], [321, 10875], [1844, 5661], [5646, 6853], [792, 10460], [1544, 6123], [3280, 8372], [3810, 5154], [5642, 9363], [565, 5573], [3997, 7232], [9095, 9647], [9193, 10182], [3555, 3881], [7159, 10750], [3934, 6129], [1687, 4896], [1382, 10676], [852, 8232], [7379, 11433], [6135, 9646], [7164, 8061], [5564, 10611], [3053, 5333], [1861, 3736], [563, 5096], [4143, 6653], [5853, 7681], [4572, 6012], [334, 8427], [1943, 2233], [3940, 8953], [5779, 8671], [4370, 8537], [2190, 2864], [5345, 5935], [5529, 7742], [2605, 11185], [971, 2073], [2066, 10153], [5402, 9852], [3029, 3784], [1031, 5507], [511, 7915], [3310, 8907], [7441, 8877], [9614, 11127], [4824, 6613], [2499, 10385], [4856, 11032], [3682, 8486], [2118, 10693], [2519, 4621], [7653, 9699], [8711, 8852], [4356, 9928], [6729, 7328], [5476, 7707], [6658, 8616], [2556, 3722], [7910, 11018], [1238, 10122], [3354, 7674], [2550, 10323], [4128, 4816], [7923, 8247], [8050, 10274], [3814, 6346], [1885, 10872], [6838, 10654], [4123, 7855], [5741, 11546], [9574, 11297], [1166, 1736], [5966, 7692], [7166, 8426], [1724, 3168], [1409, 8260], [5351, 10987], [977, 1433], [1254, 4185], [2429, 10339], [1403, 9943], [7913, 10511], [800, 5708], [8929, 9438], [1954, 4569], [1421, 1854], [5873, 10510], [54, 1165], [7495, 10937], [4945, 6485], [1759, 1849], [9354, 11307], [4089, 7466], [6463, 10726], [4277, 10900], [4213, 9195], [476, 2736], [10405, 10420], [3377, 5890], [3898, 4838], [841, 7937], [1426, 4426], [4519, 6619], [3886, 6706], [1504, 9944], [2965, 3852], [5795, 11327], [1650, 9769], [652, 10667], [1989, 6983], [7990, 10892], [1831, 9026], [3039, 4740], [6803, 8858], [6524, 7191], [3377, 4735], [3380, 8416], [6088, 10044], [9790, 11032], [1034, 7177], [8196, 11118], [8316, 9722], [2813, 9473], [3711, 4207], [3433, 7646], [2779, 6856], [3701, 6902], [8467, 10241], [7180, 11036], [2137, 8328], [740, 3293], [5406, 6051], [6940, 11549], [11109, 11249], [2293, 2425], [7530, 8382], [5011, 9659], [1109, 4853], [10042, 10852], [9018, 10529], [9890, 11212], [2672, 8837], [7309, 10857], [3725, 7646], [2378, 8390], [454, 6844], [3093, 4171], [734, 2697], [10286, 10431], [1607, 5480], [2440, 6235], [5177, 7103], [631, 4447], [3406, 5799], [94, 4996], [9751, 10272], [3061, 8016], [9995, 10632], [1060, 3806], [2616, 4367], [3233, 3777], [1395, 9919], [65, 6106], [182, 1029], [715, 7908], [1954, 5187], [4923, 9034], [8405, 8558], [3037, 9500], [729, 4581], [9703, 10581], [8180, 9379], [3445, 3818], [4274, 7083], [7666, 10097], [606, 9062], [2067, 2970], [5885, 8105], [2564, 3022], [9754, 9765], [3152, 10362], [2615, 3741], [5400, 8033], [99, 4535], [1036, 11275], [9773, 10946], [1533, 5665], [411, 8971], [1968, 9757], [5919, 7285], [530, 10356], [3601, 7340], [5903, 8280], [6524, 10842], [646, 11470], [4215, 6452], [6580, 11124], [18, 2452], [2626, 6882], [9914, 9996], [4000, 7961], [6328, 7870], [1383, 5697], [739, 7847], [944, 4869], [5025, 8886], [2222, 5486], [572, 2257], [7540, 10119], [7421, 8707], [4907, 10328], [661, 5712], [7393, 10823], [6667, 10719], [414, 11470], [9060, 11023], [1539, 9593], [5897, 8034], [7323, 9303], [5394, 6659], [2641, 7540], [7338, 9611], [5324, 11555], [2647, 5076], [2523, 6730], [8376, 10741], [11201, 11456], [5129, 8081], [4286, 7392], [5468, 8301], [4258, 5344], [5283, 7767], [1262, 6467], [3080, 10970], [3810, 4430], [6627, 10889], [2326, 2402], [5407, 7244], [10324, 11533], [2545, 10811], [978, 3675], [8448, 8523], [1964, 10307], [4612, 5468], [2873, 9337], [1476, 4302], [4184, 5930], [414, 10665], [906, 3957], [3588, 9282], [656, 10198], [3181, 10621], [1404, 6119], [3494, 8866], [3303, 5134], [3769, 4375], [8681, 10572], [183, 4501], [8488, 10931], [6437, 7358], [3202, 8465], [497, 6354], [2076, 10117], [918, 8104], [3975, 7634], [1736, 4764], [9702, 10974], [550, 6365], [240, 5385], [1014, 4779], [4868, 5407], [5081, 6454], [6199, 9822], [3969, 4786], [4120, 10617], [10097, 10722], [3304, 5335], [1996, 8259], [2932, 5729], [6235, 8698], [2905, 4283], [3829, 7408], [410, 10118], [2086, 8152], [8350, 10943], [4957, 11464], [3546, 4087], [373, 10236], [8740, 10347], [4786, 6105], [7093, 11553], [1202, 6304], [460, 5667], [1422, 2106], [7332, 7405], [4656, 10196], [3854, 8754], [9071, 9171], [5337, 6393], [141, 437], [2190, 8101], [2067, 9199], [4550, 6013], [2962, 4416], [9, 10871], [1845, 3902], [7608, 9151], [2085, 6772], [510, 5380], [3994, 11393], [7167, 9408], [2707, 6526], [1528, 11550], [0, 10004], [683, 7028], [2608, 5766], [3327, 5453], [1835, 3564], [3987, 7189], [1611, 3856], [1244, 8758], [1084, 11509], [8348, 10065], [5098, 9386], [678, 3651], [4227, 4397], [271, 11406], [3609, 5516], [7115, 11096], [5353, 7626], [1353, 5668], [40, 5996], [4553, 5506], [4346, 8411], [234, 2829], [8358, 10379], [5770, 8853], [176, 2070], [2385, 6983], [3428, 4350], [7889, 10840], [6736, 8417], [3028, 6860], [1911, 11264], [4358, 8421], [1971, 11315], [1555, 2769], [2862, 9042], [10427, 10744], [1530, 5156], [5141, 9032], [1116, 9488], [2145, 3739], [2544, 7420], [3925, 5506], [1590, 2174], [740, 10140], [2519, 9053], [10428, 11319], [7837, 10276], [3448, 6106], [3855, 10402], [273, 5012], [7962, 9224], [9271, 11406], [4562, 5568], [3073, 3196], [8300, 8465], [3945, 10295], [6565, 9824], [333, 9200], [2043, 10228], [1817, 9693], [11217, 11371], [5207, 8874], [482, 8919], [2246, 2636], [2528, 5732], [630, 5407], [1406, 5628], [2429, 4972], [2222, 7877], [4044, 9146], [3736, 4829], [3703, 8853], [251, 5761], [6285, 6400], [9275, 11124], [1674, 3349], [5693, 6488], [4488, 10291], [1152, 4176], [713, 7512], [1220, 9006], [207, 2456], [1151, 4705], [767, 7748], [6214, 11071], [5190, 10748], [7735, 9194], [3628, 3956], [4476, 5743], [1138, 2965], [570, 4201], [3155, 4675], [6638, 7053], [4626, 9070], [6076, 10733], [2129, 7662], [1747, 11532], [1192, 9967], [8286, 9832], [6515, 11534], [9239, 11443], [1909, 2411], [3829, 7221], [4570, 7633], [3337, 10142], [7628, 11525], [1988, 3643], [6475, 9102], [1395, 6512], [7248, 8271], [2377, 4357], [1167, 7816], [6552, 9507], [3940, 7587], [4936, 5862], [175, 6250], [15, 1831], [2408, 9305], [6570, 7834], [8949, 10684], [2194, 8033], [4518, 6288], [514, 2683], [2524, 4003], [3365, 4619], [3215, 7304], [5486, 6679], [3404, 3793], [5197, 6576], [441, 7308], [3684, 10226], [3679, 5718], [9966, 10967], [8630, 9591], [3273, 8413], [162, 4860], [6227, 7064], [1557, 6816], [6682, 7644], [2647, 8890], [1231, 7585], [3758, 11087], [4730, 8214], [7311, 8569], [1485, 8633], [1041, 10871], [555, 7945], [7950, 10956], [4440, 8640], [3350, 3533], [349, 6564], [5577, 9025], [4734, 7582], [7017, 8472], [35, 2432], [4212, 8409], [2722, 3183], [6237, 10761], [1913, 7740], [1624, 7637], [5858, 7732], [8880, 8961], [2767, 5585], [155, 5917], [1870, 7289], [5622, 8394], [1520, 3500], [4753, 5730], [519, 1848], [1057, 4907], [5750, 10242], [3604, 9815], [5650, 5874], [2348, 3507], [135, 8274], [4807, 7814], [1716, 5667], [1654, 4789], [8376, 9212], [3594, 8723], [3749, 6382], [447, 6267], [2152, 6951], [2398, 3220], [4338, 9406], [5916, 11069], [9302, 9377], [8494, 10372], [3513, 6290], [2171, 3968], [1302, 1304], [548, 8978], [1429, 10124], [7869, 11451], [7642, 8062], [3237, 10529], [1978, 6956], [4254, 6675], [9393, 9845], [9073, 10429], [5817, 10659], [2252, 9410], [9533, 11353], [5558, 6234], [3681, 3780], [573, 4662], [1285, 8840], [1247, 6104], [8936, 10316], [6386, 9274], [2253, 2815], [2179, 6838], [2215, 6495], [1938, 3743], [243, 1525], [5022, 5850], [1715, 5391], [1711, 7901], [1117, 1500], [4084, 10936], [5013, 11399], [4820, 5342], [3292, 10212], [365, 9220], [5812, 6127], [3035, 8112], [5445, 11029], [4318, 9827], [2642, 5377], [1916, 5273], [4665, 7656], [5780, 6589], [3813, 8379], [3157, 6762], [6988, 9850], [1685, 5525], [2839, 5140], [1347, 3251], [1381, 8497], [7260, 11477], [94, 10046], [479, 9857], [1399, 9076], [998, 1562], [3047, 8472], [7940, 8203], [9127, 9456], [1899, 7147], [5073, 8016], [9556, 9569], [7054, 7063], [5386, 9644], [3858, 8098], [5750, 10860], [3534, 8940], [8055, 9065], [10515, 10591], [8755, 9476], [6482, 7776], [265, 8184], [2314, 10930], [6025, 9752], [1727, 11362], [392, 3041], [2214, 5064], [1071, 3329], [3063, 9705], [6117, 6308], [8479, 11463], [9308, 10564], [7035, 8110], [2245, 3596], [1092, 7589], [4951, 8561], [312, 4216], [1303, 1393], [6911, 9737], [395, 2938], [1277, 3555], [7371, 10661], [3639, 8710], [2724, 5701], [117, 6377], [3971, 7759], [4072, 7811], [4108, 7468], [2117, 11116], [3473, 6728], [665, 1486], [1105, 7420], [5533, 11518], [2823, 9063], [922, 2051], [7515, 10790], [6555, 8762], [3902, 6087], [333, 8826], [4414, 8679], [6986, 10446], [3648, 8422], [361, 7087], [7800, 10370], [4118, 10788], [469, 4176], [8199, 8389], [4804, 5077], [354, 2883], [6785, 7130], [7416, 10380], [2244, 8982], [6721, 9589], [4043, 5137], [4485, 6236], [182, 7502], [6936, 9928], [403, 6158], [272, 9647], [748, 9576], [2042, 4310], [1885, 10742], [3168, 5287], [3096, 3721], [3872, 3942], [2254, 5886], [9387, 11341], [1046, 3756], [540, 11532], [2288, 4716], [853, 9777], [2749, 10029], [3621, 5794], [2793, 9547], [3101, 7448], [1501, 10752], [3533, 3695], [8106, 9672], [7421, 9569], [7822, 9913], [1139, 9582], [3692, 7889], [5232, 6062], [1281, 5501], [2339, 3900], [1933, 3212], [8495, 10386], [6607, 9995], [3990, 8485], [1376, 5738], [6596, 9836], [3392, 10256], [582, 10603], [561, 3310], [4972, 11211], [3723, 9080], [3110, 10543], [4569, 10040], [1049, 6282], [8683, 10033], [7781, 11393], [302, 4547], [3915, 9250], [2599, 5143], [8211, 10977], [806, 2360], [8980, 9273], [7625, 10099], [3128, 4706], [4970, 7351], [9724, 9956], [5894, 7470], [8760, 10438], [6050, 7983], [86, 6585], [2124, 9172], [3834, 6036], [6576, 10658], [5609, 7459], [2123, 8947], [4461, 9544], [6350, 8625], [1405, 6452], [6, 590], [3550, 9660], [2189, 10698], [3710, 4657], [12, 10958], [7605, 8292], [9439, 11076], [5800, 8158], [956, 1903], [1808, 10225], [10865, 11564], [7832, 10176], [554, 1334], [2758, 5149], [7465, 8662], [5808, 10678], [54, 6646], [10518, 11456], [3202, 6294], [7620, 8950], [1011, 8376], [6093, 10258], [10723, 11107], [4491, 10483], [4711, 8537], [9454, 10953], [3969, 5648], [5684, 9272], [7009, 9735], [5297, 5628], [8108, 8889], [6272, 9442], [9, 9505], [6865, 9956], [2875, 3805], [9688, 9844], [2398, 10067], [6066, 8061], [4744, 11279], [6876, 7112], [521, 7586], [2649, 4401], [226, 7638], [3645, 9092], [830, 1925], [7027, 10664], [7113, 9684], [2641, 3759], [397, 9213], [309, 6360], [3664, 10273], [6403, 11214], [6553, 8529], [1047, 3845], [4187, 5884], [4510, 4817], [3815, 10442], [929, 9451], [547, 9157], [2135, 8502], [8637, 11461], [7701, 9073], [3532, 7121], [5865, 7374], [2092, 11057], [48, 2239], [5731, 8313], [103, 1946], [3936, 8867], [4364, 6870], [3860, 9811], [625, 10918], [1814, 6582], [4647, 7158], [2216, 4118], [5546, 11162], [2581, 8188], [2560, 7311], [4635, 9026], [6159, 6666], [7435, 11374], [1924, 6346], [6280, 8124], [640, 11576], [9415, 9819], [2226, 6684], [274, 7254], [678, 11279], [6683, 7016], [478, 10467], [1409, 7593], [889, 5083], [5032, 5814], [507, 2537], [350, 11221], [5835, 8612], [5706, 5758], [8821, 9430], [3802, 11280], [8160, 9721], [2085, 6829], [32, 8845], [1821, 9200], [4247, 5480], [231, 10186], [4457, 7010], [9307, 11575], [4455, 6183], [3648, 4397], [1991, 7167], [222, 6690], [2122, 2897], [5785, 10373], [1926, 2985], [8319, 10882], [5418, 8859], [1330, 7835], [1053, 5837], [4296, 8755], [10012, 10051], [1109, 6146], [3199, 9647], [7834, 10840], [2667, 9786], [363, 1603], [306, 5233], [7341, 10153], [201, 3527], [7052, 10050], [2286, 10094], [338, 10406], [2635, 3832], [2783, 4484], [2101, 3898], [8379, 11313], [2935, 7507], [1691, 5720], [7757, 8526], [3407, 9946], [2060, 11444], [2124, 2569], [3624, 8483], [571, 9072], [4235, 9576], [10362, 10406], [343, 6212], [4331, 10038], [2270, 5023], [4135, 10126], [5446, 8971], [284, 2599], [2811, 6101], [5385, 9449], [2119, 2575], [7215, 10579], [8772, 11365], [773, 8425], [2762, 8868], [3892, 9587], [830, 2543], [7502, 7603], [8398, 8680], [6994, 8890], [1863, 4083], [5030, 7945], [6148, 11313], [3875, 11111], [1767, 7004], [332, 5649], [5564, 11262], [9979, 10237], [2937, 4146], [4993, 8063], [5526, 8526], [2035, 5506], [6835, 11462], [9789, 10113], [5682, 9039], [484, 8672], [4381, 6718], [3714, 7221], [890, 3698], [606, 3939], [1070, 6517], [1352, 5449], [851, 7153], [3373, 10311], [5861, 7469], [7043, 9132], [7175, 10749], [2380, 5891], [6072, 8443], [7629, 8475], [8097, 10795], [850, 1266], [914, 8606], [959, 7625], [1155, 5285], [6540, 6976], [649, 6645], [3805, 6154], [1114, 1497], [1432, 7256], [3882, 8094], [9988, 10299], [931, 2544], [1201, 10541], [4497, 6677], [8206, 11088], [5752, 9754], [5659, 9563], [1607, 1780], [2324, 11220], [4965, 5210], [489, 8211], [6399, 11258], [5339, 11278], [5989, 8916], [4891, 10364], [3210, 7822], [6107, 10103], [319, 825], [9656, 10849], [2115, 3125], [3233, 6493], [6849, 10713], [5882, 10924], [2019, 6046], [4830, 9307], [7287, 7906], [9181, 10741], [5253, 7720], [4638, 6104], [1424, 1672], [4500, 6170], [1012, 6831], [581, 3612], [4287, 8506], [3351, 11036], [1908, 11291], [984, 1750], [5963, 9923], [3690, 7469], [5982, 7721], [1598, 3895], [4803, 6329], [6138, 7480], [6919, 8045], [3068, 11098], [5057, 7377], [3894, 10682], [4675, 11247], [1474, 4768], [1498, 2910], [2843, 5503], [7633, 10771], [10021, 10731], [413, 5317], [3367, 8886], [3109, 3932], [533, 3921], [311, 5040], [772, 6189], [5694, 10822], [2552, 7956], [2583, 8023], [5048, 9893], [2961, 6663], [6724, 7927], [3828, 6248], [1185, 5015], [6183, 10232], [4125, 6242], [737, 4101], [8646, 9777], [3164, 3989], [335, 9948], [5402, 7388], [1355, 6365], [1358, 10046], [4741, 5427], [9041, 9525], [1538, 2285], [292, 6087], [944, 4552], [417, 11451], [8696, 9490], [723, 2109], [356, 11175], [6665, 9575], [2690, 10872], [3045, 8619], [3798, 6382], [7060, 10104], [2051, 6226], [5105, 6239], [1311, 5662], [657, 4872], [259, 10461], [5383, 8435], [1615, 6827], [6971, 7780], [3330, 8199], [4111, 8764], [2454, 4364], [8030, 9787], [561, 8547], [530, 2818], [9456, 11056], [3487, 11566], [2522, 2778], [669, 4882], [6998, 9576], [2793, 7213], [263, 3413], [1449, 5195], [6058, 11583], [4377, 9041], [9470, 11112], [1810, 6140], [824, 2891], [2159, 6294], [2226, 8270], [4435, 6013], [4402, 10037], [5763, 6747], [4923, 8985], [3834, 4857], [3705, 6167], [3343, 11413], [977, 8768], [5612, 9961], [4201, 9754], [2931, 5992], [9596, 9881], [5415, 6414], [1127, 9466], [1860, 5853], [2552, 6346], [7281, 11338], [7341, 11389], [2514, 6993], [1048, 6325], [4157, 6799], [6896, 7740], [8195, 9988], [2689, 5304], [175, 6925], [354, 8388], [297, 1438], [9166, 9896], [4956, 7189], [1407, 10580], [1001, 9892], [3060, 4658], [3578, 6341], [905, 6397], [5079, 6441], [2118, 6619], [5385, 10685], [3086, 9262], [5815, 9515], [2866, 4792], [1959, 8060], [3831, 7164], [6107, 6883], [656, 9076], [9864, 10584], [277, 10211], [1092, 9606], [1667, 5407], [1985, 3996], [4629, 8083], [7707, 9244], [3939, 7636], [28, 58], [9919, 11422], [2166, 5505], [149, 7932], [3698, 7924], [1102, 2373], [5466, 8930], [3379, 5700], [643, 7686], [9442, 10487], [6672, 7981], [4096, 7970], [1911, 8369], [264, 8821], [7609, 9059], [97, 3985], [5549, 7652], [3713, 8205], [3028, 7348], [813, 9036], [1181, 7742], [998, 8035], [3153, 9679], [7535, 10426], [1304, 6994], [2334, 9761], [2458, 5855], [2795, 8658], [3796, 7277], [3949, 7519], [1573, 4186], [4188, 9787], [487, 10155], [1982, 9309], [542, 3446], [10512, 11131], [916, 3098], [6700, 9224], [6576, 6714], [230, 11438], [1409, 6414], [2654, 11055], [7879, 9081], [6485, 10733], [2282, 2781], [4307, 5133], [2332, 2898], [1870, 10192], [4399, 8105], [183, 7835], [3871, 11369], [2206, 7108], [26, 7851], [4272, 6051], [1583, 3719], [7961, 8332], [1992, 8842], [2701, 7087], [7468, 8399], [2891, 11348], [6003, 10585], [7811, 8738], [3387, 7765], [4352, 10137], [2704, 8489], [1888, 11121], [5589, 9255], [1394, 8334], [6766, 9820], [401, 9576], [3570, 3685], [4967, 6468], [139, 5634], [1174, 3083], [7022, 10914], [6296, 10056], [7729, 8332], [5714, 10832], [2469, 11251], [3959, 5897], [3248, 10989], [3398, 8304], [9277, 11284], [6913, 9466], [1498, 10562], [1751, 8756], [4495, 10795], [1818, 4316], [5675, 10877], [474, 4577], [4801, 7869], [1028, 5917], [8215, 8225], [1525, 6723], [8474, 10371], [346, 5331], [1553, 7990], [4075, 10394], [4176, 11200], [2058, 6405], [1896, 7575], [4344, 6088], [6470, 9246], [5811, 9610], [6346, 6736], [1934, 7278], [1886, 3854], [9363, 9873], [738, 2529], [736, 5866], [2190, 5019], [9328, 10818], [1924, 9973], [3848, 5857], [8571, 9149], [2778, 5189], [16, 2544], [3849, 8711], [4805, 7587], [4247, 8757], [6924, 8820], [3130, 5991], [7457, 9283], [9912, 11219], [3276, 5816], [633, 4583], [4086, 4867], [2274, 9978], [1467, 8192], [5730, 9779], [6358, 7096], [2812, 4369], [5167, 8353], [1161, 10337], [3458, 4517], [4397, 5668], [5569, 5889], [1809, 9060], [3664, 8557], [1499, 3916], [6602, 6675], [7058, 7480], [6877, 8600], [3197, 3429], [5445, 7516], [4287, 11165], [7062, 8353], [1584, 3465], [112, 10896], [3254, 7346], [3200, 10493], [8705, 10788], [732, 7571], [6580, 11238], [4438, 8301], [8135, 11197], [3283, 5051], [5303, 7059], [5216, 7814], [1966, 7889], [9230, 10609], [6334, 11182], [4281, 6782], [3899, 10652], [4742, 5679], [1228, 7371], [1216, 10020], [1159, 9486], [4672, 6788], [431, 9686], [6804, 9791], [2743, 4898], [2512, 2521], [3659, 10791], [1919, 4636], [2084, 2983], [4288, 6798], [3066, 6490], [9981, 10527], [5360, 6788], [7512, 11167], [5707, 10279], [1068, 5934], [1314, 2957], [3373, 4139], [451, 9907], [2404, 10693], [1212, 2680], [3622, 4843], [3682, 5648], [1059, 11483], [6919, 10249], [2735, 3101], [7129, 7615], [3917, 4010], [4856, 5161], [4044, 9447], [2328, 8604], [4296, 10422], [5843, 9766], [2579, 5971], [6720, 10039], [875, 5889], [302, 6027], [2898, 8168], [9178, 11492], [489, 1689], [6225, 9279], [2025, 8014], [6099, 10860], [1828, 10883], [574, 1238], [1943, 1973], [9517, 11308], [7260, 9387], [572, 3794], [6327, 11434], [4123, 5367], [1036, 8624], [7445, 8386], [1695, 1844], [5084, 10249], [8446, 11169], [3580, 6845], [6011, 10639], [4527, 8611], [4820, 5480], [8930, 10235], [1960, 5710], [2949, 6978], [9805, 10435], [6138, 8879], [2210, 10022], [3235, 6783], [5346, 8155], [3259, 4925], [647, 5257], [2675, 11290], [5730, 10747], [1608, 4477], [1238, 9862], [398, 5684], [8737, 10944], [3790, 7944], [4719, 10659], [2565, 10371], [4039, 8648], [455, 5437], [6463, 11271], [174, 2943], [3653, 4448], [7054, 8706], [1297, 7409], [1388, 6773], [2131, 11018], [5921, 9941], [1700, 7799], [3159, 11460], [7, 7906], [9626, 10446], [2289, 10823], [3466, 4972], [135, 4119], [720, 7024], [3395, 6260], [5136, 8853], [6282, 7853], [1989, 10561], [5354, 10244], [2530, 10885], [5830, 10173], [1866, 5243], [682, 7671], [343, 4041], [5291, 9895], [589, 1064], [10019, 11279], [1547, 6429], [2483, 3899], [215, 8959], [10912, 11304], [1602, 9519], [1425, 2467], [3286, 11578], [4069, 6554], [2890, 11578], [5153, 6928], [6025, 6857], [397, 1244], [1820, 4494], [2007, 4320], [2067, 11541], [6075, 9603], [5490, 6698], [5483, 5527], [8605, 10370], [7017, 8773], [1212, 3298], [6103, 8618], [2612, 5598], [160, 8097], [1689, 6081], [2673, 2841], [1496, 6440], [4552, 8751], [3415, 6861], [772, 5628], [3418, 10542], [7160, 10929], [7726, 9620], [2638, 7169], [8647, 9441], [6000, 10718], [8240, 8528], [4994, 10974], [1701, 6441], [603, 4479], [8582, 10894], [358, 3894], [2132, 2463], [3054, 8171], [6672, 6802], [37, 11423], [1508, 6019], [4118, 11276], [5171, 7079], [2130, 11435], [379, 1738], [4372, 5908], [415, 1395], [1557, 5157], [2057, 9644], [2406, 4136], [9190, 9437], [3018, 8864], [4766, 6212], [1893, 2073], [2173, 4342], [7159, 7270], [1156, 1780], [2334, 5199], [6661, 8491], [5868, 10575], [3423, 3665], [672, 1209], [8833, 11270], [1977, 4403], [5655, 9501], [648, 10614], [1350, 7688], [2160, 6739], [2294, 2767], [51, 8823], [5997, 9615], [1637, 10347], [3841, 8500], [2693, 6421], [2872, 8638], [64, 2642], [1880, 11236], [1309, 1621], [2991, 7017], [3271, 9286], [7316, 9482], [6103, 7008], [807, 3854], [279, 7118], [5974, 7537], [3176, 9399], [4172, 6920], [7307, 8615], [5383, 7069], [1393, 6580], [3917, 6401], [2862, 4513], [2509, 9121], [5059, 7911], [2729, 4923], [1760, 11477], [3931, 7238], [892, 6005], [1944, 4589], [9512, 9972], [350, 4675], [6946, 10679], [5022, 8379], [3623, 9687], [4898, 6623], [7785, 8216], [228, 6375], [1305, 9742], [255, 4788], [6375, 10863], [3140, 5554], [5915, 6152], [6099, 8713], [4762, 10145], [1529, 2253], [10075, 11024], [2422, 3059], [6100, 11567], [10181, 11420], [1429, 2049], [935, 1514], [7461, 8277], [2112, 8495], [929, 945], [397, 4090], [5562, 7727], [801, 8115], [1957, 7803], [2728, 7680], [462, 2233], [8889, 9592], [523, 10056], [6808, 7308], [72, 11123], [3812, 10683], [6861, 6942], [10221, 10445], [264, 4877], [1131, 6714], [4940, 9077], [4966, 8046], [3997, 10436], [1858, 10426], [7388, 9088], [4983, 5017], [693, 7242], [7800, 11476], [6983, 9002], [2685, 7202], [3373, 10986], [4545, 11207], [3053, 5154], [3746, 10036], [563, 11333], [3648, 6495], [2521, 5293], [406, 10595], [3403, 6664], [10865, 10897], [3561, 7250], [2591, 4534], [4328, 9637], [2143, 10036], [2683, 7506], [9625, 9983], [4943, 8220], [7744, 10793], [1866, 10667], [4946, 5485], [2764, 5401], [3077, 3646], [6184, 9709], [5463, 6943], [8618, 10768], [3693, 9247], [4071, 8641], [1289, 10282], [678, 6156], [8145, 11487], [1082, 6771], [4285, 6126], [5615, 7687], [8254, 11430], [1881, 4909], [2473, 2569], [8780, 10722], [5674, 8267], [3181, 3595], [3277, 10473], [1599, 5196], [6566, 8848], [5989, 6558], [9709, 10404], [1808, 2337], [867, 4523], [5168, 6594], [1899, 2455], [5665, 7400], [5844, 8863], [11169, 11257], [336, 8270], [5005, 8293], [3169, 8846], [2649, 10500], [615, 11068], [2081, 5320], [8772, 10430], [704, 3189], [1292, 9775], [302, 9036], [8633, 10271], [295, 2203], [3218, 5705], [2137, 11264], [4033, 11516], [671, 10596], [2080, 10730], [570, 4128], [1223, 4693], [4311, 10706], [2468, 10088], [9221, 9660], [2, 7993], [7388, 7478], [5117, 5851], [1869, 2589], [5550, 11368], [5142, 7601], [1219, 4924], [1430, 9308], [5380, 9644], [212, 11371], [1029, 5177], [839, 11469], [5290, 10101], [1649, 4104], [9665, 10431], [3969, 9787], [4626, 7842], [4154, 8786], [2877, 11023], [570, 3323], [2500, 8067], [1502, 9719], [3584, 6189], [139, 10684], [2966, 7308], [4592, 5979], [1503, 6911], [1191, 2852], [4174, 6405], [932, 4089], [3901, 10942], [8810, 11206], [5348, 6672], [2330, 6316], [9361, 11494], [7535, 10483], [1052, 1912], [3323, 7703], [1528, 1841], [10478, 11227], [519, 2580], [3285, 8350], [8023, 10422], [6521, 10097], [9640, 11259], [5430, 9306], [3437, 11373], [887, 10331], [78, 8472], [2041, 3530], [4096, 7222], [6880, 7936], [1133, 4321], [6286, 7197], [3620, 4260], [7035, 8224], [3678, 8402], [1971, 4639], [1484, 4551], [3357, 8761], [5795, 7310], [895, 4156], [5170, 7258], [528, 9058], [6094, 7377], [3236, 4270], [2418, 10993], [6807, 8747], [4047, 6929], [3906, 6724], [7842, 10360], [1082, 3201], [2642, 6914], [5462, 9537], [5658, 7197], [1852, 2853], [3378, 3572], [5676, 11186], [3279, 6976], [1699, 5240], [6339, 6777], [790, 9593], [5950, 9476], [358, 3520], [1497, 7765], [2042, 5579], [447, 9227], [573, 5394], [4901, 11540], [3468, 6848], [3595, 8875], [2370, 11302], [8722, 9776], [4305, 4312], [1650, 7980], [2560, 4229], [2954, 7566], [8807, 11577], [2057, 2854], [6152, 6577], [2428, 5241], [4324, 5493], [7126, 10920], [7618, 10628], [6090, 9082], [2609, 6750], [6742, 6793], [4844, 6468], [7619, 7820], [2628, 5302], [1583, 6354], [1335, 7006], [3236, 6848], [7871, 8041], [636, 1555], [2005, 4542], [4995, 10020], [766, 847], [2658, 3609], [7396, 8687], [3501, 5052], [5678, 10427], [480, 10814], [3276, 5873], [7598, 8821], [3243, 9897], [67, 1785], [662, 9542], [5087, 9959], [6476, 7963], [8558, 10849], [4232, 11165], [2716, 4718], [3865, 9651], [4522, 7706], [2306, 6540], [6070, 10658], [4335, 4847], [5405, 11207], [2239, 3783], [4035, 11001], [10017, 10696], [3570, 8198], [712, 10009], [862, 6570], [2200, 7992], [6276, 7501], [5443, 10910], [796, 1786], [2511, 3158], [84, 2489], [5815, 9735], [4843, 6192], [7735, 8129], [4094, 7794], [6772, 11465], [1481, 2239], [1293, 9358], [1107, 5970], [1043, 2013], [1160, 3352], [3981, 6577], [4951, 9293], [9865, 9901], [3027, 7747], [3335, 5648], [4202, 5233], [349, 7459], [2955, 9564], [8619, 10670], [1210, 9481], [28, 8572], [5002, 9231], [3699, 10247], [989, 7792], [1711, 10406], [5495, 6131], [2164, 5278], [174, 4610], [4649, 8554], [1445, 4810], [6310, 8909], [4428, 6111], [8008, 8422], [1413, 10190], [2319, 8949], [4404, 11352], [2532, 9996], [1157, 10944], [5239, 5737], [6357, 9105], [4604, 4997], [6904, 9274], [1962, 6618], [10031, 10297], [1769, 6977], [9148, 9455], [2649, 10931], [3513, 6835], [7681, 9316], [11170, 11509], [1322, 2501], [950, 7059], [1175, 9621], [392, 8229], [6837, 8402], [5438, 8956], [180, 4374], [10635, 11350], [2359, 10576], [269, 1413], [1690, 3836], [8854, 9358], [166, 3163], [1281, 2850], [160, 9764], [597, 5601], [2553, 3652], [5455, 6277], [4214, 10423], [1181, 2619], [7815, 10605], [2906, 4679], [222, 1193], [4232, 8750], [1744, 4422], [2210, 10079], [9367, 10266], [5444, 10999], [5697, 9193], [4570, 7991], [3608, 11552], [8501, 11283], [7601, 9306], [6939, 10907], [8155, 10646], [2665, 10659], [6127, 8777], [8743, 10816], [395, 2060], [5131, 9721], [6280, 8238], [821, 4154], [1354, 4617], [4025, 6363], [3844, 8237], [2354, 3011], [1970, 6054], [4404, 6359], [2752, 3057], [4305, 6353], [38, 3112], [3281, 6030], [5917, 6092], [876, 4211], [8993, 10590], [3339, 10172], [9084, 9954], [2805, 9484], [1155, 7009], [4950, 10440], [6631, 8818], [8408, 11068], [1187, 2760], [3637, 6604], [9122, 9657], [7315, 8696], [6384, 11570], [1333, 2585], [3512, 4623], [683, 4166], [449, 7907], [3912, 8879], [6620, 8255], [2786, 4115], [4800, 6308], [2217, 11542], [3805, 6723], [2936, 4813], [2492, 7051], [5539, 6647], [3433, 8248], [100, 152], [3584, 6165], [1898, 3279], [3668, 11528], [492, 3416], [4736, 11369], [4385, 9634], [3664, 7622], [7619, 9056], [3130, 6934], [3694, 9716], [1915, 3633], [9149, 10648], [4094, 9835], [6716, 10191], [8235, 10493], [8667, 10150], [5151, 9517], [20, 3956], [1544, 8766], [388, 2662], [7640, 10283], [763, 1785], [14, 10557], [4647, 10923], [2582, 9172], [8215, 8713], [4362, 5277], [2028, 11215], [2460, 7462], [5939, 5961], [8810, 10027], [6785, 7675], [5575, 11134], [1112, 1565], [7094, 8430], [5406, 8881], [2329, 4912], [2110, 10466], [2068, 10240], [777, 8607], [3043, 7638], [3905, 9131], [1164, 4357], [6091, 10088], [74, 6420], [1352, 7791], [860, 913], [6073, 8004], [942, 9613], [2652, 6477], [3275, 3450], [1498, 10245], [3, 4675], [3249, 7864], [1592, 7628], [1647, 7335], [933, 2330], [8193, 9812], [4769, 8014], [8458, 11049], [7878, 8488], [154, 1811], [3972, 6165], [1365, 4589], [2170, 3296], [3747, 11150], [729, 10794], [2346, 10877], [5902, 6378], [6953, 10776], [4157, 6295], [1788, 4133], [5173, 5222], [2189, 7860], [358, 8757], [281, 6847], [2774, 4349], [3147, 3399], [9662, 9973], [1068, 4194], [7852, 9495], [5352, 10822], [7315, 11542], [1086, 4019], [2773, 10513], [3950, 11078], [2295, 7505], [5789, 7790], [1215, 10256], [560, 11493], [2017, 8665], [8046, 8206], [1984, 6273], [1387, 8269], [1728, 2146], [3510, 11156], [3346, 10001], [1259, 6771], [1753, 3142], [1637, 5411], [3989, 9878], [4054, 11027], [4682, 8344], [4738, 10905], [3248, 5679], [1128, 6473], [6821, 10983], [9446, 10856], [4245, 4556], [2896, 5227], [2056, 7465], [7124, 7759], [1933, 2147], [1807, 10144], [597, 7187], [6937, 11316], [8742, 9198], [58, 6155], [3738, 5664], [3889, 9997], [308, 10467], [144, 9312], [7308, 9916], [1336, 4493], [6243, 10346], [1379, 6849], [2294, 3442], [4744, 7286], [1416, 5950], [2037, 8512], [1286, 10041], [2062, 10262], [5618, 11425], [2435, 8558], [5856, 7052], [6470, 9197], [4176, 8118], [1588, 10756], [3465, 6794], [1027, 8999], [3737, 5038], [4487, 9700], [2083, 4319], [4018, 10161], [3612, 9473], [4908, 5034], [650, 3010], [1202, 3523], [8020, 8408], [10105, 10811], [5776, 7446], [6746, 7910], [84, 3538], [9607, 10534], [2816, 8226], [1331, 3344], [3282, 3303], [1910, 5680], [2997, 9735], [1822, 3581], [440, 8276], [5388, 7714], [2616, 3627], [513, 618], [6294, 6473], [2402, 9525], [5022, 9054], [1696, 4381], [4982, 5491], [2611, 6666], [8337, 9404], [3115, 4479], [4541, 5748], [3773, 10306], [1718, 9243], [4447, 5332], [6656, 10245], [10171, 11407], [376, 505], [2330, 4145], [1304, 7913], [2585, 8047], [7082, 9306], [5320, 5836], [3505, 5014], [4685, 5096], [5149, 9926], [4120, 9259], [390, 4725], [5577, 6431], [8608, 11156], [3658, 4475], [2417, 6369], [8814, 11032], [7174, 9245], [1787, 5973], [1531, 1846], [1351, 6574], [6351, 8454], [6669, 7797], [4521, 10707], [1058, 3319], [438, 10027], [780, 6758], [7339, 10251], [5105, 6971], [1617, 8386], [7528, 9369], [3918, 9101], [1046, 8570], [3229, 11508], [7362, 7387], [2729, 10404], [9263, 11366], [6183, 7126], [1312, 3212], [6831, 8101], [606, 4484], [1853, 3536], [1727, 11533], [7789, 7804], [1161, 2262], [842, 9864], [7411, 7629], [3020, 6796], [1564, 6816], [1464, 9618], [6008, 11447], [4674, 10144], [8065, 9550], [4538, 6873], [8058, 8379], [6824, 7280], [5165, 6971], [55, 6451], [2429, 2541], [927, 2216], [2984, 7489], [1585, 8043], [10100, 11085], [3639, 8881], [2641, 10533], [0, 5963], [1855, 3208], [10633, 11548], [8262, 8559], [2787, 10358], [3322, 7484], [9110, 10346], [1948, 9034], [1129, 6487], [3346, 9009], [734, 9341], [923, 5830], [3520, 9347], [590, 8838], [3088, 7438], [8592, 11295], [8686, 10176], [2771, 5287], [935, 5840], [1277, 2571], [4205, 6417], [1526, 9691], [4102, 9702], [998, 3156], [4606, 7515], [3614, 3697], [6162, 8076], [155, 11512], [5170, 6510], [5310, 5766], [1760, 2516], [5020, 11073], [6271, 8369], [6584, 6614], [5765, 9729], [2780, 5349], [1661, 1756], [1721, 2561], [8011, 10737], [9972, 11384], [753, 9717], [5163, 8348], [1040, 8993], [1618, 8475], [10341, 10692], [4517, 7419], [6476, 11403], [4637, 6023], [5946, 8205], [5077, 5541], [4788, 5438], [1179, 8778], [5227, 6239], [2457, 2979], [1201, 6093], [2923, 4472], [5039, 6188], [6441, 9315], [2878, 11145], [8275, 8689], [92, 3942], [646, 5282], [4536, 5567], [3823, 9832], [7646, 11147], [2696, 8630], [1325, 4816], [2159, 4261], [4562, 10171], [577, 4364], [3570, 8605], [2655, 5596], [5337, 6003], [288, 9896], [7008, 7076], [2534, 10904], [4170, 9539], [5104, 10346], [7155, 7503], [2965, 6926], [2979, 4380], [4108, 4874], [1921, 4446], [515, 7993], [425, 11483], [206, 10621], [3227, 10494], [618, 2429], [448, 3738], [2908, 6018], [2345, 6844], [8950, 10682], [1018, 3302], [4270, 5582], [223, 4559], [3655, 10382], [4873, 6784], [4641, 7215], [4395, 4530], [6079, 6589], [798, 10883], [3159, 6768], [5886, 6194], [1538, 2025], [8104, 11570], [9095, 9501], [3388, 4561], [2149, 3118], [6127, 6256], [2362, 10581], [3900, 7153], [5535, 8596], [2811, 8687], [6340, 7303], [4720, 6168], [8620, 9393], [1836, 1840], [2039, 2199], [1799, 9128], [5940, 6780], [7369, 7566], [1366, 2830], [3852, 9741], [6467, 8926], [261, 9523], [2475, 8364], [3008, 8827], [1852, 2723], [1511, 8846], [1826, 7918], [2326, 8241], [2963, 4920], [5301, 5517], [5457, 6030], [1728, 10766], [570, 1583], [6509, 11030], [4336, 6528], [1681, 10196], [9034, 11453], [6611, 8274], [689, 2214], [6939, 7581], [4131, 8001], [1863, 2481], [2339, 8072], [6286, 9645], [92, 1177], [904, 1055], [1370, 1794], [9176, 10755], [5848, 9419], [4188, 11137], [1144, 9560], [4119, 6836], [1598, 7286], [3254, 11461], [5523, 10009], [3780, 10753], [2880, 8776], [10122, 11545], [1758, 7918], [1844, 6938], [1909, 8087], [6427, 7941], [2747, 2770], [9288, 10565], [2408, 3304], [2411, 6985], [3772, 10111], [3560, 5502], [2464, 5865], [1008, 10803], [9433, 10919], [6654, 9825], [351, 11213], [2839, 9125], [2144, 7580], [3476, 5804], [7402, 7998], [2369, 10142], [716, 3232], [870, 7082], [6212, 6447], [1919, 1985], [4721, 7412], [10949, 11300], [2728, 7981], [9295, 10581], [4436, 8182], [647, 7949], [3570, 11451], [5929, 6509], [1018, 3920], [3060, 3243], [515, 2545], [7108, 7120], [8143, 8733], [1875, 2036], [5892, 10764], [658, 8488], [5707, 7978], [475, 3119], [2586, 4491], [939, 7195], [6624, 7680], [5225, 8234], [4242, 10918], [2432, 4024], [4295, 7546], [255, 4284], [6636, 8414], [3236, 11174], [929, 3474], [4910, 6129], [3264, 3773], [2259, 10670], [275, 8319], [557, 11415], [7995, 11090], [5445, 6638], [708, 11584], [173, 1626], [1260, 5681], [2535, 2617], [7992, 10792], [9451, 10289], [1758, 9341], [8700, 9566], [2848, 4245], [3161, 9660], [907, 11420], [1998, 6549], [9251, 10608], [7609, 7994], [5424, 7639], [4137, 9188], [2241, 2520], [658, 1267], [9162, 10536], [2372, 11082], [7995, 9935], [4796, 11453], [1716, 9465], [2487, 9342], [4754, 11227], [1619, 3870], [6966, 9241], [2823, 8510], [9077, 10613], [1303, 10989], [4156, 7336], [3225, 3794], [5659, 6351], [772, 8320], [9698, 10142], [6453, 10561], [6218, 11418], [392, 11482], [517, 10430], [2651, 2926], [2224, 7777], [4402, 6207], [2103, 9702], [5680, 7578], [3204, 4795], [8162, 11337], [3800, 4826], [3643, 11258], [8868, 9284], [9184, 11210], [970, 4898], [2559, 10103], [8557, 11085], [2492, 8881], [5412, 8702], [985, 1796], [1766, 2361], [145, 4034], [5315, 8769], [2354, 8947], [769, 6867], [10457, 11456], [620, 10908], [8340, 9515], [6829, 9104], [1362, 10764], [1574, 2541], [549, 9163], [1106, 10020], [1628, 5406], [2003, 5283], [5630, 6686], [2969, 10509], [3308, 10729], [8444, 9464], [4058, 8975], [5598, 7148], [467, 8757], [3635, 6428], [3328, 11381], [3615, 8405], [1588, 9390], [1359, 10092], [7377, 10198], [9835, 10897], [1890, 3312], [5728, 9823], [589, 991], [9864, 10137], [2732, 10946], [2732, 4530], [7059, 7822], [2515, 6747], [1288, 8347], [2263, 11407], [895, 5612], [3164, 10576], [6709, 7416], [6671, 10342], [6571, 6728], [4683, 11255], [1655, 10211], [3333, 7537], [2371, 8846], [6164, 11450], [4165, 8067], [689, 6833], [4231, 9818], [62, 3702], [120, 1428], [1152, 5022], [2257, 4021], [1572, 3918], [3445, 8128], [931, 9749], [23, 1495], [3424, 8005], [1679, 7922], [5194, 9084], [1163, 2178], [6348, 7945], [1049, 5274], [2790, 10119], [2912, 8796], [6145, 6862], [8519, 10122], [1427, 3914], [8954, 9296], [5176, 7000], [298, 6803], [3092, 7451], [1225, 6439], [2505, 4473], [5402, 6754], [6828, 10275], [4500, 8114], [1599, 8343], [5771, 7560], [1626, 10166], [3463, 6805], [2186, 9042], [7819, 8583], [56, 2732], [2774, 2796], [437, 11469], [2402, 7354], [6970, 9577], [866, 1783], [2985, 9432], [1058, 8369], [9399, 9538], [8401, 11190], [5412, 9320], [2153, 10033], [3669, 10064], [10241, 11510], [3047, 7277], [626, 4925], [5314, 9916], [4978, 9967], [10735, 11264], [7113, 9481], [3107, 11465], [2608, 7580], [237, 4591], [7246, 8290], [2630, 4895], [2719, 10602], [2416, 10793], [3464, 8504], [4458, 10116], [81, 1045], [831, 2297], [4473, 11148], [4781, 9803], [1825, 3155], [2965, 4592], [2567, 7929], [6113, 10656], [5082, 9916], [4115, 10127], [3554, 7616], [3617, 5686], [1273, 4520], [8127, 11314], [2730, 8108], [1, 4849], [4455, 10168], [56, 5310], [703, 2677], [155, 10951], [7244, 10472], [556, 5633], [1767, 11444], [561, 10141], [900, 3191], [3106, 3669], [4530, 11281], [4910, 10748], [1737, 6317], [6491, 8922], [6301, 8798], [2292, 4849], [3761, 9198], [3873, 9439], [3940, 10661], [1911, 11573], [7239, 10478], [9880, 10884], [2631, 7698], [5616, 5662], [6982, 9132], [4150, 4994], [1481, 8956], [6261, 6366], [1131, 10829], [6539, 8562], [422, 6168], [5921, 9681], [10996, 11146], [6974, 11119], [4755, 6272], [811, 6128], [7430, 9672], [4021, 9660], [1826, 2201], [5602, 7834], [2541, 10814], [627, 9956], [8624, 11315], [6959, 7054], [744, 1873], [3515, 7987], [2850, 8536], [5811, 8358], [1136, 10772], [1914, 4650], [666, 5373], [5748, 8009], [1383, 1981], [734, 3787], [4655, 5637], [3404, 9095], [6864, 10550], [7757, 11356], [6396, 8230], [6110, 8398], [7, 9874], [1975, 5276], [5881, 6094], [137, 9166], [5142, 9138], [3142, 8536], [2243, 9413], [6040, 7255], [2994, 4851], [5733, 5792], [5752, 10006], [3888, 8511], [3659, 6961], [4603, 8456], [7065, 7399], [1265, 8684], [4687, 7403], [2068, 10728], [3472, 4102], [3229, 10760], [2730, 3465], [610, 10675], [5306, 6105], [2971, 9189], [4523, 5467], [1515, 9963], [980, 6421], [1441, 6816], [1343, 4029], [3378, 7069], [5608, 6443], [658, 10342], [690, 6093], [7083, 7574], [6070, 8194], [2183, 5174], [151, 5815], [2654, 4005], [1864, 6360], [7980, 9253], [3708, 5668], [7094, 11146], [1650, 8094], [2243, 8608], [8714, 9248], [1307, 4722], [2494, 10139], [5104, 8980], [7802, 9920], [6902, 7943], [3390, 4046], [3018, 8604], [371, 10635], [4163, 10385], [1047, 6488], [2348, 2393], [3471, 6105], [1729, 6293], [9662, 10111], [8201, 9787], [1578, 9507], [663, 6498], [232, 7443], [7611, 9921], [4082, 10581], [4216, 7363], [161, 2315], [2206, 5319], [3711, 5915], [3862, 6084], [3681, 7204], [3077, 8029], [4269, 7374], [10841, 11072], [5294, 10551], [8928, 8961], [2856, 6340], [6655, 7261], [4385, 10740], [8776, 9321], [374, 3712], [4010, 6332], [800, 2773], [703, 9256], [7487, 10393], [142, 329], [3503, 7440], [2524, 6890], [7733, 10799], [7038, 9254], [2177, 6028], [1786, 6372], [11490, 11494], [2275, 2399], [1068, 3877], [5173, 8288], [4015, 5521], [7287, 9931], [3916, 4761], [318, 1844], [6997, 9603], [2078, 2235], [2976, 3385], [1389, 11058], [3199, 5874], [6499, 9326], [4134, 9535], [118, 8579], [666, 5186], [2445, 4099], [3619, 4366], [2776, 2923], [8577, 10908], [4362, 8611], [10910, 11161], [793, 10596], [160, 10683], [1255, 5931], [743, 3312], [772, 8214], [1931, 11583], [2948, 4319], [2106, 9894], [7307, 9778], [1113, 5474], [10863, 10941], [2267, 10751], [10132, 10493], [4765, 9351], [3201, 11558], [5095, 10983], [8018, 8069], [2235, 9715], [7579, 11405], [6097, 10204], [3498, 8519], [5394, 8017], [8323, 9055], [3455, 8822], [3238, 3869], [4829, 9901], [3213, 5502], [2215, 7154], [284, 10853], [1034, 9853], [5576, 7849], [5719, 10409], [435, 8770], [3673, 7180], [1667, 2626], [1960, 2848], [2242, 2534], [2861, 10685], [8981, 10344], [3542, 11046], [10165, 11299], [2968, 7549], [7492, 11355], [426, 706], [1606, 4952], [3686, 7011], [4178, 7473], [5590, 11288], [4054, 5717], [1512, 10952], [3472, 6493], [3255, 7956], [5891, 8018], [2312, 9315], [9807, 10278], [1536, 2678], [5273, 9137], [6732, 8634], [1968, 3089], [1752, 8160], [2521, 6456], [1072, 8401], [688, 10690], [147, 7333], [2110, 8807], [2048, 7929], [8997, 11577], [4111, 6601], [1187, 9290], [1982, 3145], [268, 8791], [8242, 9200], [2103, 11019], [6741, 9477], [3666, 8587], [8024, 11192], [5242, 6417], [4777, 10784], [5966, 6448], [675, 3638], [4095, 7946], [7111, 7475], [6113, 9127], [8518, 10946], [3995, 4332], [3248, 9013], [5128, 8732], [2124, 5830], [3130, 8203], [7607, 8810], [1757, 10732], [7266, 8517], [3159, 7443], [2746, 11246], [4339, 7525], [9843, 11382], [4795, 5324], [2597, 4707], [2815, 6098], [7693, 11213], [9100, 10520], [6452, 8943], [8191, 8457], [1902, 7299], [1081, 3171], [1394, 2170], [9544, 10187], [143, 2622], [3632, 4815], [7778, 9981], [8215, 9982], [1419, 3166], [6028, 9554], [1955, 9562], [85, 2617], [6645, 8210], [430, 6035], [6808, 9894], [6185, 6505], [6123, 9791], [2001, 3521], [11071, 11481], [5524, 10960], [3003, 11410], [786, 10019], [628, 2263], [5020, 5950], [7143, 9591], [8918, 11014], [5396, 8681], [4248, 10766], [4000, 7254], [4709, 5499], [1501, 9183], [7815, 11337], [1175, 9198], [3668, 7454], [3138, 4256], [4550, 8071], [8003, 8355], [2430, 2449], [4202, 10771], [6406, 11176], [6812, 9612], [300, 2555], [7469, 7667], [5325, 10319], [3733, 4816], [1983, 4389], [8765, 9617], [10597, 11574], [332, 8105], [5595, 8867], [7269, 10238], [1364, 6037], [2702, 7459], [4372, 4924], [3777, 11130], [38, 10260], [1067, 1505], [5514, 9817], [6068, 6993], [3770, 6926], [3636, 3728], [5351, 11516], [5320, 5787], [10703, 11569], [710, 6344], [717, 1099], [274, 529], [7056, 11419], [2954, 10689], [583, 7700], [8520, 9008], [1980, 6319], [2202, 9364], [4812, 8205], [667, 6647], [1300, 4308], [2594, 5458], [5028, 8769], [5224, 6429], [1823, 9718], [486, 4734], [4023, 9627], [5797, 8196], [296, 4610], [5208, 10807], [731, 4538], [4019, 6475], [4677, 8138], [1621, 8456], [506, 3107], [1223, 7629], [965, 9091], [4492, 5352], [1940, 10653], [3115, 10391], [4445, 5536], [10604, 10785], [158, 11442], [2455, 11284], [9466, 10148], [5347, 6805], [173, 5334], [1401, 6588], [3476, 9057], [4792, 5994], [704, 4970], [919, 2680], [2204, 4468], [3236, 8816], [829, 3918], [4027, 9345], [1764, 8333], [2918, 7194], [6678, 7406], [986, 10668], [6979, 9054], [1782, 5125], [7671, 9547], [4798, 5408], [3932, 6425], [100, 9528], [1554, 2265], [1810, 4140], [7847, 10712], [6913, 7653], [6500, 11456], [218, 5053], [4118, 9032], [396, 9297], [3954, 7123], [2773, 9822], [5318, 7514], [1679, 4596], [4253, 7944], [10085, 11078], [613, 11217], [5718, 8387], [3047, 5106], [2388, 6224], [1388, 11213], [2322, 7856], [4867, 6302], [853, 1255], [1479, 4161], [5706, 10255], [5155, 6180], [2004, 6234], [6392, 10933], [8200, 8332], [2371, 4715], [4588, 7237], [3583, 7718], [95, 1963], [1528, 6655], [4986, 7283], [9836, 10350], [6842, 8136], [1578, 9401], [5377, 10322], [3424, 10290], [1452, 4566], [1176, 2416], [9355, 10427], [237, 11064], [6770, 8418], [5748, 9676], [729, 11526], [1921, 6707], [2196, 2216], [9229, 10473], [74, 6347], [1657, 8354], [3706, 8848], [9010, 9611], [3740, 7678], [3252, 8089], [1124, 4858], [159, 11531], [5799, 5827], [4412, 10178], [3357, 10542], [6311, 6941], [4728, 5688], [773, 9889], [5444, 10739], [3163, 4260], [81, 6363], [1894, 11276], [994, 2883], [794, 7733], [3385, 6524], [953, 3259], [886, 2037], [6980, 9143], [397, 1846], [1534, 9428], [388, 4012], [5300, 10209], [202, 4788], [8359, 10566], [3841, 4296], [3065, 4075], [3937, 4004], [1908, 11332], [5017, 11052], [537, 1102], [1352, 6913], [3220, 4363], [1850, 10573], [166, 2098], [1910, 8372], [3431, 9501], [3488, 3619], [561, 9043], [444, 1288], [1474, 11225], [999, 6236], [2169, 5630], [1057, 5460], [723, 6338], [3236, 5246], [1180, 1329], [1649, 6503], [1166, 3151], [5431, 5565], [7645, 10822], [81, 5558], [1428, 4814], [893, 1272], [7897, 11043], [772, 3197], [1795, 9711], [2383, 9881], [480, 9212], [8071, 9883], [1282, 6867], [2252, 8085], [258, 882], [8095, 11408], [297, 6472], [1782, 4938], [92, 5316], [2832, 9865], [1650, 8956], [2025, 8079], [6944, 9031], [719, 3162], [342, 2458], [505, 10558], [4941, 8158], [6314, 8635], [3741, 5889], [3509, 6320], [1234, 10209], [9859, 11137], [2491, 10703], [4819, 6448], [2458, 8311], [10137, 11081], [1618, 10549], [4199, 4488], [732, 6026], [11105, 11472], [336, 6026], [1576, 10323], [2018, 11422], [4972, 10073], [1634, 8049], [5336, 11289], [2036, 5585], [3971, 5011], [1593, 11431], [289, 2423], [4435, 9087], [3869, 3980], [5491, 11577], [4798, 7449], [694, 10056], [6414, 8061], [6047, 6547], [1249, 7053], [2114, 3559], [8526, 10008], [3044, 3466], [3198, 7316], [2387, 8794], [1009, 3809], [1110, 11031], [1265, 1520], [5468, 7220], [3842, 4385], [2379, 7398], [1422, 9051], [1314, 1412], [18, 3599], [195, 4235], [2127, 4144], [5550, 7969], [5424, 9550], [978, 9010], [6552, 7190], [4047, 8173], [1569, 8697], [2173, 2984], [1068, 4739], [648, 5873], [8901, 11359], [7373, 9813], [1343, 10047], [4536, 8714], [152, 4888], [5286, 9966], [1335, 9405], [8611, 11004], [5228, 9207], [5247, 7005], [923, 10400], [5250, 11440], [5398, 7174], [7853, 9110], [3257, 7091], [4618, 10217], [7543, 8130], [4318, 9925], [2004, 7470], [3468, 5059], [135, 9795], [943, 8019], [4869, 10967], [3124, 10884], [199, 4303], [288, 10010], [5321, 5614], [8321, 11026], [4202, 8437], [876, 3764], [1490, 5155], [3551, 7164], [2713, 6065], [6481, 7673], [4291, 7728], [3182, 4823], [3307, 10187], [1184, 5048], [211, 7696], [25, 11478], [8624, 11185], [4944, 5260], [1833, 2461], [7278, 9121], [1791, 8651], [675, 3077], [1144, 8251], [8575, 10919], [1846, 5325], [1631, 1953], [2785, 7230], [350, 6700], [1418, 10705], [3875, 8550], [1690, 1779], [4618, 6379], [3116, 10218], [4217, 5281], [4991, 11091], [6890, 8608], [3956, 4193], [2278, 6086], [2990, 10264], [4953, 5322], [2950, 4449], [1838, 5033], [9367, 11242], [403, 3678], [4262, 4650], [360, 598], [544, 3159], [7311, 10708], [4840, 9767], [3883, 11420], [661, 711], [6082, 9229], [662, 3565], [3000, 4916], [1327, 6399], [5993, 9157], [7760, 10719], [2445, 9767], [9468, 10920], [6174, 9168], [9566, 11428], [1120, 5547], [903, 7010], [1157, 10310], [2675, 4752], [6604, 11381], [2029, 4577], [434, 4438], [1213, 8340], [4884, 10015], [2040, 10778], [4249, 9275], [610, 6357], [6217, 11093], [1420, 11070], [1260, 7405], [10045, 10500], [4561, 8049], [3136, 9634], [1386, 9207], [3932, 10507], [539, 4612], [3997, 5240], [6025, 11273], [1574, 6225], [1559, 4439], [2568, 7083], [2085, 3731], [4173, 10569], [4078, 7299], [4210, 8916], [4740, 5698], [3584, 3758], [6817, 8240], [7262, 8856], [7876, 10247], [963, 7010], [2073, 8982], [2011, 8104], [4232, 8116], [239, 3946], [6651, 9641], [7489, 10740], [4982, 8614], [548, 11117], [2666, 3834], [2830, 8372], [6092, 11340], [8363, 10715], [3165, 10348], [2344, 4722], [6273, 6433], [4587, 8465], [208, 4983], [1106, 6133], [2028, 5425], [2659, 9429], [2012, 4892], [754, 4927], [4372, 9974], [4515, 9528], [7163, 8072], [1709, 4332], [1464, 10163], [968, 6549], [1145, 11349], [3954, 7367], [862, 8782], [8869, 10829], [371, 5512], [7869, 9402], [89, 164], [3442, 8912], [3194, 11062], [3290, 5108], [1722, 10579], [387, 2258], [2845, 7875], [1014, 8772], [5938, 10068], [9238, 9356], [331, 9496], [4837, 7835], [4808, 6316], [3495, 8896], [10028, 10414], [3185, 7916], [222, 11431], [5361, 9683], [9492, 9653], [2408, 8224], [1026, 5749], [3329, 7291], [5569, 7353], [4161, 4411], [2330, 5308], [4252, 10191], [5941, 6178], [3174, 9605], [2761, 7746], [4096, 8897], [2888, 6767], [2456, 7110], [329, 10897], [2421, 8055], [3164, 5884], [3625, 6279], [3974, 4935], [3683, 10421], [7394, 9243], [1291, 6555], [6831, 10069], [2437, 5555], [360, 7177], [1413, 5986], [1323, 3060], [1805, 2080], [2067, 10159], [4646, 7435], [3777, 4771], [8561, 10968], [1281, 6217], [2833, 5905], [2707, 7486], [7180, 9849], [1029, 2209], [8628, 9911], [832, 5078], [765, 3856], [4132, 5120], [305, 8567], [3474, 9092], [7859, 9356], [4127, 7405], [4851, 7436], [1178, 8317], [4370, 10546], [2252, 5751], [2152, 8553], [1883, 3410], [1974, 2774], [8231, 11564], [4960, 10762], [5196, 7097], [10, 1829], [6603, 10568], [6360, 6646], [3392, 9817], [4820, 7749], [129, 8876], [10373, 11468], [1600, 3472], [1404, 4314], [7477, 10543], [806, 8337], [6279, 10629], [6597, 9218], [8935, 9815], [2708, 9535], [7245, 10193], [3642, 6932], [1362, 9723], [123, 6028], [3853, 11316], [204, 540], [9080, 10169], [6000, 8181], [7798, 11308], [2383, 6742], [4597, 5583], [729, 6777], [543, 3389], [4691, 9382], [742, 11146], [6019, 9362], [2779, 10125], [1540, 8682], [7608, 8151], [199, 6962], [75, 5206], [4839, 8499], [7640, 11072], [7079, 8561], [7172, 8752], [391, 7132], [7067, 11210], [878, 7250], [8002, 8455], [1814, 8103], [4326, 5655], [962, 2410], [1001, 8754], [903, 5213], [4803, 9192], [6730, 8003], [5102, 9259], [2389, 3123], [2961, 9176], [4446, 7642], [1025, 10279], [459, 7424], [3819, 4511], [517, 10812], [8248, 11463], [575, 2122], [6488, 10348], [3664, 10989], [1207, 8980], [858, 1656], [1324, 3149], [1981, 5368], [6210, 8125], [5432, 11241], [5466, 10825], [6149, 7849], [9729, 10160], [660, 7306], [8700, 9493], [4524, 6370], [1372, 2816], [4212, 10979], [1535, 4500], [2063, 6871], [5452, 9614], [844, 6080], [5008, 5436], [3616, 3751], [4701, 4727], [341, 5459], [1686, 8052], [5725, 7679], [1238, 7138], [2616, 4953], [5821, 8141], [5413, 10036], [1265, 4797], [2980, 6169], [2733, 9675], [8015, 8235], [5831, 11488], [3403, 7965], [7365, 9816], [5703, 5826], [8256, 10549], [6895, 7423], [4372, 11210], [4652, 7063], [326, 7379], [6257, 10549], [639, 5624], [3647, 5292], [2927, 8386], [2361, 3279], [160, 9561], [2873, 5117], [3238, 3552], [5006, 10974], [5037, 10287], [8722, 9386], [6036, 11489], [3331, 9378], [2641, 8931], [2698, 8684], [1328, 2062], [1675, 5553], [2878, 5087], [1800, 4501], [4459, 9650], [75, 5824], [176, 5876], [9130, 10500], [5928, 7583], [2721, 4322], [8856, 11429], [3989, 4251], [7079, 9179], [518, 9777], [5391, 9630], [3894, 7397], [7013, 8559], [8482, 8744], [7236, 10294], [7159, 8384], [779, 7108], [1314, 4234], [9715, 10372], [243, 4095], [8780, 9340], [1904, 10866], [400, 1046], [778, 10266], [5570, 5781], [3455, 11083], [8147, 8646], [11049, 11271], [4817, 10647], [1450, 2967], [1678, 11462], [5224, 8527], [1368, 11236], [1645, 9070], [4072, 8958], [4337, 10195], [3944, 7460], [3228, 8044], [613, 2443], [3868, 8404], [573, 3044], [2725, 6669], [6077, 6901], [2632, 10642], [4898, 5509], [2183, 2710], [4090, 4252], [5640, 9529], [783, 3793], [1288, 8624], [3616, 4369], [5197, 8959], [2549, 7382], [215, 1242], [4380, 5704], [686, 827], [9961, 9973], [4918, 6511], [4176, 5874], [8565, 10044], [864, 11487], [9052, 10162], [8484, 10644], [2849, 8024], [2007, 9435], [3545, 6007], [1953, 6920], [19, 10348], [3534, 5094], [4844, 10884], [8472, 9479], [8284, 9428], [3504, 5602], [6305, 8175], [2650, 10416], [3092, 4345], [2242, 8901], [559, 3280], [877, 1869], [4956, 5059], [3775, 7758], [587, 2295], [896, 3050], [1823, 3440], [6406, 10859], [489, 10805], [241, 11457], [862, 7603], [8575, 9203], [3607, 6080], [5133, 6799], [2413, 3656], [2941, 10191], [3063, 4704], [898, 6479], [3164, 5510], [5528, 7328], [6266, 10475], [1911, 5889], [3067, 5577], [9322, 11288], [547, 2465], [5300, 7851], [1215, 4092], [306, 2029], [3495, 11100], [4692, 5901], [5483, 7154], [2479, 4252], [775, 4170], [2726, 4129], [1774, 6126], [9418, 9841], [3170, 10936], [4037, 4105], [9451, 11452], [5833, 7159], [3470, 8195], [5808, 8792], [3748, 7385], [1191, 5926], [4217, 6143], [2524, 7004], [8697, 10431], [1257, 9929], [4767, 10747], [3889, 10249], [4171, 9181], [1155, 3236], [11201, 11505], [1746, 9339], [4788, 7837], [1837, 9457], [3112, 4141], [5598, 6888], [7399, 10286], [4172, 9002], [3797, 7627], [526, 9077], [5132, 5368], [7408, 11503], [1548, 6321], [9359, 10708], [6766, 7340], [5367, 7894], [3825, 8894], [8739, 9502], [401, 680], [2534, 6537], [3571, 11229], [3905, 10351], [760, 7968], [1169, 6675], [4708, 5979], [9969, 10078], [3282, 8093], [818, 1907], [346, 9267], [1559, 9489], [9007, 10606], [4802, 8243], [5860, 11560], [5232, 7827], [189, 9283], [1723, 7611], [2145, 3170], [3110, 5542], [1905, 7093], [6290, 8111], [6818, 10482], [3893, 10317], [963, 5644], [1581, 3771], [685, 2667], [2333, 2817], [3081, 7406], [3984, 8900], [1742, 8011], [6874, 10010], [7798, 10129], [2603, 7781], [2878, 3290], [1972, 7914], [660, 10315], [1532, 10244], [1517, 2042], [2117, 6733], [9121, 10088], [315, 10280], [4396, 10133], [6349, 10919], [843, 6235], [2463, 10753], [5660, 6910], [969, 8037], [1236, 5937], [554, 9515], [2069, 2905], [2382, 8320], [2113, 9593], [267, 9458], [5155, 8091], [955, 6826], [1268, 5071], [170, 9525], [6030, 8291], [9951, 10141], [2291, 11585], [1635, 9968], [135, 4054], [7300, 8266], [5619, 9888], [1435, 2740], [1066, 10979], [2623, 6847], [3428, 5554], [8259, 10823], [4646, 6874], [1633, 6108], [532, 4629], [2390, 7807], [3303, 9989], [2209, 5517], [5626, 9554], [309, 1359], [405, 8237], [5783, 7259], [1736, 6236], [1171, 10399], [4785, 11540], [1483, 5009], [8078, 8159], [142, 9705], [2499, 8100], [3228, 8475], [10501, 10557], [1077, 1288], [4433, 8055], [3681, 5976], [4494, 4544], [380, 8715], [1939, 3912], [6228, 10130], [406, 1268], [2304, 7982], [9931, 10562], [967, 2998], [3771, 5088], [3948, 10642], [8404, 9618], [3858, 7716], [1640, 11385], [6776, 10874], [1270, 6190], [642, 6621], [1419, 9696], [4251, 7418], [8208, 8925], [4748, 8224], [3538, 9431], [5181, 10735], [5788, 10181], [334, 5687], [580, 2710], [3878, 5335], [5987, 6634], [2569, 6536], [3369, 6397], [416, 4938], [4958, 9350], [1935, 8650], [1596, 2768], [790, 10252], [5360, 6886], [1941, 5432], [4360, 7711], [5912, 7399], [2410, 10606], [7541, 9751], [2873, 6166], [6582, 10577], [8626, 10727], [187, 1853], [9400, 10121], [5566, 10145], [342, 8557], [1128, 9466], [464, 10240], [1398, 11047], [1734, 4580], [6248, 9950], [6339, 9314], [3380, 3903], [5031, 9986], [332, 4836], [2171, 10970], [8236, 10168], [803, 4421], [1575, 9404], [3349, 7973], [1611, 2645], [10191, 11000], [8389, 10383], [5213, 6435], [1978, 7542], [1233, 7388], [3724, 10479], [4653, 10942], [2977, 9498], [785, 1556], [1163, 5114], [2226, 4611], [5612, 9335], [1404, 1793], [1813, 8414], [4831, 9524], [4234, 5104], [5643, 8648], [9166, 10425], [10804, 11385], [4452, 6495], [45, 5129], [1721, 3163], [4367, 8077], [2185, 11403], [9561, 10954], [2235, 11520], [691, 9441], [187, 1048], [8282, 10112], [6291, 6590], [9706, 10554], [5695, 11440], [9427, 11139], [3336, 3550], [4948, 10459], [4480, 8139], [2264, 2809], [779, 2091], [2730, 8466], [1926, 10361], [6618, 7924], [2920, 5557], [4934, 9248], [3628, 6583], [4404, 6050], [1231, 8789], [5721, 6595], [1860, 8960], [9379, 10317], [5055, 10706], [1879, 2594], [2593, 8353], [540, 1701], [4402, 8606], [7734, 10815], [3271, 8416], [1228, 11120], [4903, 10285], [5144, 6964], [624, 9693], [6792, 7114], [7377, 10019], [7354, 8315], [6519, 10897], [3305, 10629], [186, 3051], [3668, 8991], [968, 7224], [1147, 2271], [3889, 7647], [5914, 9999], [7350, 7792], [5657, 7899], [4511, 7401], [844, 8097], [8891, 9573], [3607, 7934], [2943, 8708], [7399, 7684], [331, 6788], [6158, 9578], [1669, 8210], [960, 2795], [3847, 10804], [2541, 8139], [4089, 10337], [4992, 6169], [2070, 5521], [9628, 10216], [853, 5557], [10315, 10365], [632, 3868], [6881, 7879], [594, 7548], [1463, 3796], [5696, 6672], [2337, 10187], [4042, 6707], [4642, 8392], [318, 4617], [2209, 4525], [4939, 7632], [1171, 6024], [6096, 10928], [6182, 9948], [4248, 6960], [1985, 5948], [3666, 4326], [9359, 10334], [6530, 10631], [2418, 5049], [7120, 7464], [551, 4037], [179, 2179], [1457, 2796], [4246, 10270], [1701, 9572], [4526, 6123], [1045, 7955], [2475, 2550], [511, 8021], [7669, 8810], [3462, 6374], [6858, 9534], [3993, 10174], [1619, 3504], [7819, 8754], [1855, 2468], [226, 10639], [4106, 4574], [1867, 9618], [244, 8966], [7338, 8831], [8076, 8568], [5063, 6304], [739, 2529], [8364, 8446], [6992, 11577], [397, 9181], [2221, 7113], [1598, 7888], [10386, 10500], [2214, 3690], [1159, 4054], [3380, 4066], [2375, 10963], [753, 3366], [5959, 10010], [3156, 4358], [4403, 10580], [6576, 8666], [1626, 6149], [2557, 4029], [2345, 5836], [1872, 3172], [3527, 6745], [7574, 7768], [1534, 7314], [101, 2622], [3774, 6622], [410, 9793], [6879, 9606], [3515, 8613], [5736, 8625], [6751, 10360], [3143, 6755], [4485, 5667], [556, 8837], [5762, 6813], [9294, 11362], [4199, 6212], [8710, 11311], [429, 3777], [10296, 10583], [3570, 8670], [2569, 4389], [4475, 4575], [5311, 11263], [2785, 11369], [1326, 5456], [7549, 8246], [5121, 8887], [599, 11543], [4150, 8198], [3935, 4072], [1657, 4280], [5989, 7916], [1383, 2957], [5240, 9518], [2463, 5841], [8815, 11485], [3242, 9743], [1812, 4568], [2865, 3377], [5356, 10632], [2056, 11344], [5664, 8533], [1541, 9932], [3739, 4133], [2053, 11046], [470, 2623], [7317, 8246], [5851, 7578], [2854, 5847], [283, 6180], [2895, 5848], [4791, 6100], [2208, 11334], [8753, 10957], [1337, 5591], [834, 7222], [7152, 7620], [4196, 8142], [2508, 8593], [3974, 9261], [7709, 8477], [1338, 9199], [6690, 8498], [1642, 9610], [7500, 7549], [5623, 5849], [4752, 8774], [5457, 10283], [1234, 11478], [4472, 9888], [5767, 8230], [2573, 9338], [5013, 9488], [4772, 7147], [2719, 9163], [2313, 8475], [3126, 11207], [1660, 4123], [8695, 9043], [4361, 8744], [3891, 6351], [8311, 9834], [322, 8336], [4611, 8892], [492, 6303], [1890, 5524], [341, 3101], [458, 3686], [5258, 9642], [4697, 4879], [3718, 10745], [146, 2633], [2489, 3574], [3103, 11381], [930, 6879], [3127, 9523], [6676, 10269], [2595, 4000], [2099, 6048], [2432, 5699], [3397, 8071], [2628, 3359], [658, 714], [1375, 9400], [7204, 9607], [2586, 3133], [4306, 7101], [5297, 8442], [4617, 8683], [288, 5318], [6100, 6322], [4150, 9971], [9809, 10733], [3577, 10109], [2092, 5227], [870, 11335], [4426, 9088], [3961, 10449], [4890, 7502], [771, 4159], [3567, 6388], [7716, 11071], [7831, 8577], [614, 9810], [8048, 10497], [5212, 11121], [4752, 7164], [2999, 3056], [1355, 7943], [3036, 6321], [1076, 8528], [3182, 5392], [4400, 6712], [10463, 11499], [3221, 9484], [9661, 10811], [1901, 8641], [6603, 11056], [502, 2779], [5923, 11297], [314, 9898], [4483, 5434], [4644, 6291], [6359, 7663], [5268, 6118], [4198, 5450], [2308, 9150], [2296, 7635], [1922, 9114], [2672, 10366], [6686, 8997], [213, 5278], [8239, 11539], [1711, 8113], [80, 9852], [2007, 4499], [5069, 11543], [613, 6151], [4290, 5389], [11041, 11304], [1480, 5736], [4256, 5778], [7801, 9034], [886, 8380], [3291, 6035], [1388, 9530], [3628, 9592], [4342, 8181], [1997, 4161], [8935, 9148], [1966, 8231], [1278, 4447], [3024, 7384], [8564, 10898], [5976, 9372], [30, 2918], [5105, 10045], [1001, 9242], [4879, 8012], [5264, 7823], [3884, 9181], [6258, 9435], [6323, 10584], [3815, 4880], [4384, 7252], [5406, 10158], [800, 8205], [7121, 11530], [829, 6691], [7613, 7828], [2138, 9627], [5940, 7813], [3280, 4721], [6487, 7982], [569, 8457], [1730, 8489], [10188, 10997], [3778, 5348], [910, 1553], [2157, 7775], [233, 5475], [1121, 5937], [2461, 8186], [6609, 9261], [7010, 10359], [2462, 11040], [629, 9612], [2748, 10845], [1870, 3931], [595, 6995], [3476, 11025], [9078, 11253], [7032, 8024], [991, 10378], [2168, 6779], [4074, 5467], [5056, 5564], [262, 3560], [4131, 9384], [3219, 5892], [2190, 5979], [3306, 8520], [754, 6651], [8890, 11552], [3935, 8691], [9411, 10500], [7945, 9832], [7630, 10760], [321, 6769], [10622, 10649], [6664, 8917], [7008, 8727], [2588, 2992], [5850, 5960], [776, 8103], [2558, 10697], [8494, 10047], [4238, 8850], [1678, 2956], [5233, 6900], [866, 11379], [4627, 11062], [372, 3674], [1081, 1919], [869, 4480], [8799, 11033], [3627, 9635], [4413, 10544], [2104, 8433], [3907, 6242], [9447, 9756], [4588, 8855], [3058, 10646], [922, 10907], [5580, 7388], [3037, 3353], [10003, 10388], [3506, 8527], [7828, 11475], [2076, 3352], [478, 1067], [6577, 8517], [1042, 3095], [414, 5778], [2224, 4004], [572, 6364], [3190, 9984], [3180, 9296], [3894, 7885], [1189, 5774], [228, 9937], [715, 10055], [405, 11327], [5176, 9375], [532, 11102], [1087, 8880], [5667, 6202], [3549, 7069], [6566, 7954], [8436, 9237], [967, 7243], [3388, 9595], [3606, 10986], [1149, 8977], [3599, 9815], [7212, 8102], [5596, 10873], [9328, 9818], [1895, 4071], [7172, 8703], [5651, 8328], [7175, 8220], [669, 6273], [512, 8541], [4490, 5263], [7015, 7938], [3868, 8892], [5268, 11192], [4549, 5843], [6763, 10346], [202, 10944], [6725, 7610], [1315, 9804], [8505, 10131], [3118, 6859], [4986, 11479], [9442, 10455], [6605, 6727], [4019, 6028], [1243, 5205], [5542, 6449], [6159, 11521], [3511, 9944], [8425, 10552], [6090, 7220], [2482, 3615], [2389, 3424], [1339, 1880], [1301, 5560], [9650, 11508], [1789, 8532], [1703, 3096], [837, 4113], [266, 914], [773, 2408], [8018, 8858], [518, 1889], [6051, 10648], [2155, 3378], [3383, 4632], [823, 5154], [5463, 10855], [2383, 9621], [4491, 7312], [4217, 8241], [475, 2192], [1357, 9225], [975, 6679], [1811, 6951], [1322, 10170], [439, 5164], [2891, 7583], [1103, 5144], [9153, 9547], [10767, 10867], [6906, 9068], [5419, 7523], [23, 7171], [2175, 4380], [8532, 10368], [1125, 10006], [1157, 8009], [2730, 2912], [6628, 9474], [1645, 10981], [993, 6854], [4663, 5675], [1579, 6951], [211, 402], [773, 8019], [4725, 9936], [734, 5812], [4583, 6096], [8688, 10507], [4529, 9243], [8381, 9044], [786, 9385], [6300, 7514], [1780, 3827], [935, 8727], [6793, 10830], [1311, 10704], [1471, 6455], [2868, 5074], [8716, 8741], [1187, 6696], [6655, 10896], [5602, 5671], [650, 2327], [371, 10082], [3712, 9371], [4672, 4983], [4476, 8077], [36, 10735], [26, 3631], [1837, 7717], [6314, 7570], [1711, 8544], [527, 10972], [460, 5586], [4599, 7329], [10442, 10652], [7587, 11226], [961, 7265], [4961, 7718], [603, 2861], [9040, 10908], [5864, 6960], [1478, 2307], [1129, 2153], [2061, 8549], [2899, 3232], [3184, 5845], [387, 4145], [528, 10042], [5606, 8772], [10272, 11530], [1838, 3000], [6915, 10954], [8679, 8835], [8348, 9984], [1185, 11480], [5509, 8839], [246, 3913], [810, 5941], [8033, 8660], [4170, 10198], [6663, 7700], [244, 834], [1274, 4355], [4352, 4762], [1838, 6383], [843, 5300], [955, 5541], [4542, 9023], [7152, 7864], [5593, 10415], [9526, 10370], [2293, 6963], [3136, 8406], [491, 4094], [6678, 7227], [1943, 6584], [2385, 3519], [8510, 9938], [8322, 10641], [1942, 2949], [732, 10572], [140, 6496], [859, 6183], [3660, 8002], [2476, 6266], [4212, 8515], [4305, 5296], [4335, 6636], [6574, 11391], [503, 4454], [648, 1425], [3090, 8761], [8491, 8733], [8628, 11448], [213, 7132], [5968, 8356], [5324, 8254], [2614, 5799], [4639, 8151], [155, 6373], [10177, 10838], [2949, 5523], [5715, 11293], [4199, 11262], [1016, 6143], [1041, 7139], [9845, 11038], [10574, 10659], [3690, 5908], [160, 7097], [1004, 4978], [2786, 3408], [8013, 8677], [412, 902], [1279, 6903], [1719, 7175], [11421, 11470], [2796, 3372], [1968, 7879], [4733, 10041], [868, 10752], [2642, 2905], [6186, 9723], [7412, 10150], [3916, 6786], [55, 9151], [1021, 8715], [3039, 9896], [1368, 6544], [2484, 9085], [3136, 6796], [7618, 11157], [4347, 6191], [8664, 8795], [4315, 11571], [1698, 5143], [4120, 10349], [6274, 9139], [4366, 7372], [947, 6672], [1256, 7427], [8534, 9853], [2384, 11483], [101, 9095], [3776, 7506], [6971, 9252], [5885, 8805], [5733, 10663], [346, 1729], [60, 5307], [7697, 9329], [6006, 10263], [6606, 7784], [2448, 6021], [7650, 8759], [2576, 4486], [4666, 11397], [554, 5815], [2054, 5313], [1510, 3937], [7965, 11214], [6430, 8497], [1669, 8885], [7646, 8236], [4139, 11099], [526, 7150], [8516, 11502], [2535, 10497], [3440, 6402], [5876, 10540], [4216, 6623], [8228, 8591], [5358, 7352], [6915, 7384], [779, 7222], [479, 6930], [2308, 5206], [560, 1442], [1396, 5878], [783, 1679], [7725, 9818], [6813, 10490], [3513, 11202], [435, 4379], [6231, 7856], [3573, 4837], [2241, 7367], [488, 3259], [2731, 7002], [1143, 5405], [8142, 8416], [6619, 7214], [6839, 8678], [4447, 11228], [4139, 6911], [4416, 9663], [4970, 6839], [853, 5077], [2265, 8892], [2552, 8168], [551, 4712], [2416, 2645], [10223, 10296], [4428, 9673], [8722, 10573], [7698, 11004], [5951, 10094], [5736, 6722], [264, 11448], [4147, 7152], [10179, 11128], [253, 709], [8475, 11046], [3795, 5946], [4803, 5736], [2981, 3743], [5976, 8811], [7354, 7380], [1437, 1664], [530, 9096], [9644, 10969], [1983, 8024], [3294, 5371], [6095, 7190], [3638, 9345], [3610, 7297], [6148, 10988], [1542, 8281], [4107, 8103], [1664, 6931], [43, 2188], [1142, 7758], [6147, 9982], [1223, 2270], [1324, 3076], [45, 8650], [322, 7238], [1287, 7358], [1688, 8456], [8382, 10831], [5307, 9941], [2365, 7163], [3650, 5541], [2865, 8240], [9153, 9173], [1588, 10854], [4224, 4500], [2864, 11398], [5763, 10342], [338, 5088], [2661, 3899], [1761, 1922], [2392, 5926], [300, 2352], [709, 6721], [4382, 9223], [1137, 9642], [1856, 2913], [2079, 11064], [4156, 7190], [5460, 9028], [8579, 10190], [3400, 7621], [1297, 11028], [8105, 10307], [322, 6433], [5272, 6698], [7844, 9219], [137, 10817], [8375, 8855], [221, 9010], [3521, 9052], [3682, 7657], [2025, 3257], [4798, 10198], [3024, 5213], [7155, 8593], [7165, 9281], [8422, 11303], [8304, 10493], [8242, 9615], [4597, 6128], [2200, 8334], [4559, 9808], [987, 5860], [2385, 7333], [1858, 7816], [5306, 7756], [4806, 6652], [4990, 9213], [692, 4407], [5265, 11138], [2269, 5845], [7807, 8532], [6626, 10477], [6476, 7500], [7594, 10868], [875, 10126], [1046, 1902], [156, 4777], [7618, 9010], [4446, 8187], [1775, 11322], [9547, 10873], [576, 2138], [3858, 11400], [10226, 10407], [4567, 9645], [243, 10788], [4436, 10882], [4004, 4055], [9069, 11248], [1240, 11163], [2875, 6944], [3590, 9141], [792, 10249], [2181, 2591], [422, 5054], [4709, 8947], [5944, 7238], [376, 1676], [136, 5599], [7759, 11443], [9239, 9565], [2797, 7411], [7093, 9138], [4547, 4805], [3487, 4825], [1804, 6374], [2143, 10004], [7932, 10058], [1301, 4999], [6867, 9734], [8023, 9422], [8701, 9108], [678, 5774], [3288, 4615], [7080, 10781], [6093, 9559], [3884, 5400], [4410, 11108], [5367, 7203], [6776, 7337], [5220, 10159], [5153, 8937], [7486, 9190], [1412, 4988], [858, 1396], [7012, 8553], [1133, 3321], [3557, 5944], [6759, 8861], [7920, 8893], [4986, 6730], [2868, 8351], [5703, 9754], [2778, 9589], [9648, 9746], [2559, 10225], [6604, 8169], [4429, 9256], [444, 9111], [2213, 3172], [2405, 9758], [9843, 10187], [1559, 2382], [1115, 1210], [3267, 8999], [9001, 9346], [281, 5148], [277, 7658], [554, 6246], [3350, 7721], [6937, 7039], [1620, 9424], [3948, 9333], [2458, 4107], [584, 8340], [1489, 4245], [4531, 4995], [1642, 4487], [7500, 8842], [3789, 8522], [1630, 2972], [4220, 10960], [4318, 7331], [1947, 2090], [11, 5445], [8665, 11275], [1074, 1936], [10354, 11426], [5208, 7839], [84, 3449], [8394, 10223], [2314, 2823], [2322, 6848], [2559, 6037], [11086, 11348], [9961, 10973], [67, 11389], [4888, 9554], [4743, 6167], [3838, 3846], [2703, 2783], [4512, 10206], [972, 4261], [5168, 8790], [1425, 2516], [2957, 6433], [3480, 6208], [6969, 8401], [641, 8069], [5909, 9175], [421, 5851], [5537, 7317], [3011, 6669], [9048, 10989], [545, 10990], [3785, 3811], [2499, 8214], [9381, 10640], [4214, 5422], [4193, 4545], [2383, 4067], [6612, 10988], [377, 5929], [5799, 10885], [3686, 6434], [484, 3517], [8505, 10188], [2177, 2686], [6175, 7200], [4585, 11192], [566, 5801], [2863, 6397], [11051, 11488], [5170, 7681], [445, 7726], [3084, 11469], [283, 2480], [434, 2649], [8431, 11178], [3978, 8713], [1765, 7064], [2304, 11479], [7712, 8458], [6991, 8698], [1925, 8450], [1452, 5786], [6035, 6789], [2454, 11423], [4345, 10577], [3445, 8600], [3380, 8205], [3945, 7425], [3152, 5345], [3033, 8097], [7699, 10855], [3155, 9026], [8452, 8618], [4370, 9294], [447, 6617], [4619, 5834], [4395, 11044], [5482, 7929], [3312, 9360], [6191, 6928], [167, 6977], [41, 8558], [1412, 5956], [7159, 7319], [3456, 6106], [3110, 5469], [8722, 10549], [1783, 8343], [2306, 8118], [3959, 10110], [10586, 11263], [1154, 8549], [3671, 7199], [4779, 9879], [2581, 9262], [2040, 11567], [264, 9919], [6707, 11517], [2574, 9222], [6834, 10538], [1603, 2117], [1221, 5233], [949, 7743], [2602, 4073], [1886, 8067], [1034, 3128], [1404, 1907], [3895, 4998], [282, 1049], [1498, 7204], [9846, 10298], [281, 7994], [749, 3144], [2096, 2400], [2299, 9175], [3558, 5578], [6753, 7324], [4074, 10598], [343, 8091], [3664, 6004], [4011, 9495], [931, 8261], [4539, 5450], [236, 7470], [1340, 6968], [6534, 9845], [2606, 6070], [6121, 7232], [1432, 9940], [3251, 7528], [2946, 6892], [4131, 11482], [5091, 9346], [3971, 10069], [1514, 5054], [7369, 9892], [3664, 6354], [1420, 4638], [2538, 8760], [5027, 8772], [1634, 7041], [796, 5942], [4464, 10352], [5949, 8818], [2351, 5901], [2781, 11147], [3994, 4953], [384, 6937], [4119, 10317], [1696, 7138], [992, 8513], [4424, 7920], [4753, 6698], [5234, 6971], [4322, 9895], [225, 3093], [7004, 8050], [939, 1682], [4533, 7863], [4660, 9136], [2198, 4531], [7930, 10467], [1882, 5988], [4848, 6154], [2045, 6918], [8767, 11341], [5565, 9178], [1952, 4475], [4978, 5446], [6965, 11478], [2419, 6570], [1129, 4438], [387, 3047], [540, 4043], [75, 1994], [9665, 10212], [10907, 11172], [1902, 3607], [4496, 8331], [6662, 10164], [3274, 3859], [8659, 10468], [7475, 8732], [7136, 9266], [7237, 9318], [1208, 2637], [1811, 4593], [3853, 10332], [274, 5213], [4914, 6750], [805, 11265], [8090, 8446], [2952, 8130], [5813, 10754], [1608, 2729], [4507, 5837], [6652, 8291], [9174, 11449], [7643, 10386], [1369, 10260], [6677, 10041], [7269, 7701], [10512, 10619], [3038, 4871], [2733, 10651], [8700, 9314], [4159, 7756], [7168, 10278], [296, 2878], [4680, 6704], [46, 1949], [719, 5455], [8290, 10355], [6787, 7553], [7752, 10679], [10276, 10500], [2614, 11117], [2583, 9552], [2125, 7920], [5084, 11079], [7125, 7548], [1679, 3669], [9748, 11512], [374, 8022], [5221, 6654], [2738, 3424], [3328, 6673], [9212, 9997], [2144, 9101], [3517, 7326], [3388, 4472], [5625, 7269], [1860, 2926], [3297, 8491], [2552, 3419], [2330, 5292], [675, 1719], [293, 5589], [5468, 10668], [2572, 4825], [9015, 9833], [1906, 2520], [8118, 11537], [6452, 10057], [1137, 6853], [2718, 8033], [6298, 9590], [7387, 8056], [1015, 10805], [2490, 8583], [3153, 10590], [619, 3665], [567, 3475], [2492, 8629], [5701, 6301], [3648, 8317], [1566, 5431], [752, 8890], [1812, 8870], [3928, 10586], [5079, 9930], [2923, 4651], [1588, 10293], [2452, 6197], [4317, 7136], [368, 2484], [3081, 9374], [6462, 7338], [4228, 11228], [4128, 7614], [5067, 8765], [1149, 6432], [4559, 10052], [2759, 10262], [6357, 6763], [4125, 7316], [2530, 3794], [3336, 5355], [823, 3414], [7318, 9366], [6858, 11071], [1228, 11047], [3931, 10833], [2907, 6346], [5641, 7697], [2905, 9683], [244, 3737], [3306, 10781], [4983, 9417], [9089, 10266], [254, 1392], [4512, 6799], [837, 1218], [2368, 3035], [111, 1114], [3646, 10068], [7094, 10008], [526, 9435], [7393, 10075], [5882, 10388], [3356, 10494], [1398, 2948], [9885, 10358], [11, 7299], [3813, 7737], [4682, 8149], [1855, 4355], [5837, 9864], [691, 10441], [5871, 9448], [2698, 11433], [485, 9784], [886, 7876], [6605, 9443], [1001, 8388], [1350, 6290], [6769, 7565], [5267, 11404], [1256, 5874], [6385, 10608], [2622, 2928], [1340, 4821], [5286, 8421], [4389, 10125], [339, 3169], [3234, 4623], [1204, 1927], [6100, 7591], [1430, 8097], [3844, 9278], [4568, 9309], [640, 9698], [6839, 7930], [11507, 11515], [5815, 8361], [5166, 10167], [9020, 10795], [6095, 10630], [8304, 9127], [4816, 9788], [5561, 10696], [6086, 6380], [1266, 9571], [1698, 5818], [760, 7521], [3964, 4849], [5113, 9782], [794, 6351], [3934, 8390], [4185, 5757], [2354, 10818], [4023, 4675], [3862, 10207], [5512, 6266], [4669, 4823], [9218, 11160], [5957, 11046], [1434, 3678], [4171, 10962], [4106, 4151], [2650, 4171], [154, 5617], [3803, 9977], [3755, 5799], [1086, 5597], [7679, 7920], [2076, 3303], [4593, 6117], [7055, 9224], [1107, 3441], [3537, 7010], [5156, 8674], [385, 1958], [1876, 10038], [952, 3503], [3871, 9515], [5834, 10989], [4836, 6225], [5338, 11539], [918, 1640], [8383, 9554], [1284, 9345], [4310, 10316], [263, 2877], [5201, 8043], [2959, 7154], [820, 7898], [3996, 5430], [6107, 6802], [2025, 9730], [2304, 2729], [3423, 8951], [3982, 10635], [5045, 10132], [1492, 3982], [1106, 6198], [398, 8555], [4433, 8063], [2263, 2324], [731, 4042], [1101, 2821], [889, 4628], [2006, 5142], [3029, 5240], [2280, 3432], [6478, 8034], [1748, 9987], [8998, 10365], [2527, 3309], [5980, 10009], [5388, 10097], [319, 6168], [4792, 8531], [2774, 10733], [343, 3529], [6468, 9948], [8462, 10735], [3825, 8715], [3209, 4245], [2116, 8289], [8150, 8928], [3045, 9506], [3580, 5878], [3941, 9829], [8342, 9098], [1926, 5913], [6303, 8568], [3228, 7678], [7900, 11382], [4094, 7038], [289, 6302], [4800, 5739], [1885, 6262], [295, 10254], [3709, 4194], [7485, 9827], [6, 2981], [2530, 2802], [4936, 8229], [2837, 7648], [2436, 6550], [1123, 9130], [474, 2268], [1499, 5445], [6129, 6294], [2992, 7936], [6753, 8373], [10183, 11117], [1907, 10343], [1721, 7709], [10673, 10752], [4319, 8445], [7587, 8949], [3505, 9625], [2794, 10553], [7121, 10839], [3630, 8573], [6868, 6983], [457, 10558], [2038, 10984], [516, 1339], [4839, 7141], [2067, 10224], [8634, 10572], [2815, 11026], [3278, 6586], [1685, 3891], [2880, 9923], [7768, 11562], [8573, 10269], [2275, 10523], [1093, 3198], [928, 5605], [4267, 10483], [4699, 10894], [6256, 6762], [2056, 9661], [2868, 5375], [5010, 8312], [4803, 11217], [5414, 6675], [3038, 3342], [278, 770], [6012, 7533], [7565, 10829], [934, 5770], [3231, 6366], [4313, 10077], [1790, 7448], [7953, 10187], [3913, 6171], [4873, 8199], [4842, 6634], [919, 3957], [3575, 9559], [1633, 2546], [7747, 9530], [7458, 9427], [1446, 3851], [1506, 11072], [5556, 9360], [9040, 11209], [10373, 11533], [581, 4312], [2539, 5442], [4994, 6624], [3000, 4339], [1601, 4893], [3953, 5196], [3462, 8342], [3935, 8000], [3493, 7655], [633, 1469], [1911, 9256], [4983, 9848], [3152, 10745], [8343, 9187], [5822, 9637], [3169, 7716], [1369, 7926], [3420, 5083], [7088, 7241], [6599, 10460], [978, 1130], [249, 11278], [1548, 7110], [3259, 4576], [8732, 9120], [50, 488], [853, 2532], [1413, 7824], [1048, 2219], [6139, 10633], [6612, 11045], [3866, 8179], [7006, 10218], [1283, 5499], [715, 5981], [9909, 10035], [9783, 10862], [5948, 8032], [3654, 7707], [2095, 3842], [8492, 8505], [3172, 7209], [4261, 5675], [2581, 6741], [8584, 11477], [2956, 5864], [6531, 7077], [3107, 6033], [1369, 7121], [6462, 9192], [5357, 10947], [437, 9770], [1110, 9112], [5007, 6404], [2010, 4673], [2486, 11018], [3534, 8729], [2479, 9847], [1332, 10622], [5594, 7103], [2249, 3154], [6579, 10881], [3656, 10762], [4093, 6599], [4122, 11501], [6975, 7848], [7609, 11369], [2988, 7630], [3796, 5854], [558, 1028], [6972, 7550], [843, 10057], [7133, 8407], [4550, 11389], [7530, 11261], [11267, 11304], [1, 2800], [7910, 11482], [718, 8076], [658, 8025], [5668, 8341], [6382, 6930], [8796, 8865], [843, 7024], [1367, 9653], [1897, 6435], [6553, 8505], [3734, 10988], [2356, 10921], [8651, 8861], [2168, 6706], [1505, 8082], [82, 4832], [3155, 4895], [4032, 11584], [3941, 5804], [5742, 8448], [5305, 6195], [1418, 3175], [1108, 8611], [5240, 10681], [9818, 11340], [2874, 5784], [4238, 8427], [6857, 8485], [2494, 3284], [7194, 11288], [5422, 7130], [4859, 7956], [3587, 10537], [4984, 6904], [3733, 10362], [5698, 6247], [4602, 6610], [875, 5003], [2334, 4500], [4316, 10188], [4381, 11337], [3828, 10599], [6254, 6879], [328, 3329], [2693, 8755], [1824, 6091], [6156, 9727], [1192, 9032], [5464, 6201], [1410, 10423], [949, 3612], [207, 8637], [4438, 5805], [4687, 6509], [3040, 9213], [4431, 8017], [1778, 6096], [6206, 9440], [468, 5941], [10708, 11043], [6226, 10846], [2337, 11163], [2483, 10234], [560, 5126], [221, 5660], [1774, 8956], [453, 4505], [1332, 1441], [8178, 8374], [1306, 6636], [120, 8991], [106, 4397], [426, 9448], [7458, 8435], [385, 7195], [1355, 3495], [3311, 10214], [2201, 10871], [3191, 8577], [2708, 5225], [4671, 6699], [2656, 5035], [595, 774], [4650, 5822], [1374, 6928], [6228, 6731], [2255, 4691], [1817, 10881], [4138, 9619], [10, 7668], [2178, 6164], [7004, 10335], [4792, 11540], [6106, 8404], [7462, 10432], [5158, 9419], [1108, 2463], [2202, 11072], [2536, 10194], [144, 6328], [2069, 4312], [2225, 4825], [1230, 10158], [1473, 3500], [1975, 4650], [915, 4670], [1749, 8279], [3813, 10559], [318, 10049], [7011, 9570], [1027, 2632], [2988, 7443], [2740, 3177], [5890, 10068], [4768, 9210], [2490, 6412], [3615, 6787], [5046, 8400], [650, 3059], [2704, 11067], [192, 2181], [961, 1231], [1368, 9691], [1557, 5426], [6280, 8718], [1364, 5785], [3850, 8532], [2910, 7910], [1423, 6365], [6498, 7076], [4119, 4226], [10882, 10902], [858, 10528], [170, 328], [2033, 3850], [4567, 8523], [2905, 10195], [1850, 11313], [1077, 2695], [4676, 8466], [2258, 9795], [2222, 3722], [4307, 10289], [2313, 3840], [9214, 9726], [2567, 11304], [93, 4430], [5361, 5536], [2990, 8963], [7508, 9571], [373, 6699], [4637, 6259], [4612, 7892], [8192, 10203], [596, 2772], [1691, 10852], [153, 2202], [254, 2254], [2556, 3194], [3669, 6218], [3010, 7336], [3416, 8024], [675, 10420], [7655, 9217], [2729, 11258], [2015, 6253], [2646, 9503], [1459, 1834], [2384, 7059], [3655, 11423], [5311, 11434], [9041, 10306], [3905, 11571], [6608, 10603], [10446, 10698], [6, 4030], [4274, 10125], [131, 9394], [5363, 8591], [511, 3199], [1316, 4158], [2709, 9451], [4056, 5701], [5644, 8052], [594, 8337], [3207, 6695], [1440, 2881], [7560, 8956], [471, 3019], [4452, 5674], [1088, 1675], [5661, 8406], [191, 10549], [2022, 9652], [5723, 9284], [618, 5698], [4953, 6599], [7410, 8608], [7928, 10291], [4168, 9298], [8488, 9167], [6588, 11425], [1361, 6910], [2135, 9714], [2238, 7183], [1011, 2367], [4598, 5095], [1534, 2142], [1289, 7973], [3498, 6470], [4212, 5059], [1235, 4704], [5371, 11434], [6030, 10316], [2506, 11320], [1814, 7794], [2316, 8944], [7636, 10240], [3801, 7410], [3085, 7240], [1660, 7327], [134, 2444], [5524, 8643], [1904, 9939], [5551, 11220], [8400, 11575], [993, 7049], [1712, 6736], [9499, 10729], [4017, 11357], [5380, 8140], [2489, 9811], [1527, 11120], [1706, 6167], [1551, 9262], [4455, 8550], [4049, 7108], [8252, 8644], [3381, 3976], [9399, 10498], [400, 6885], [183, 8348], [1952, 6573], [2017, 7722], [1913, 6618], [4502, 10998], [9734, 10195], [641, 6947], [599, 6721], [6087, 10045], [1505, 5480], [97, 8954], [128, 4103], [1688, 8570], [623, 8246], [8255, 11170], [10378, 10647], [9375, 11201], [507, 10515], [3422, 3576], [8065, 8794], [10585, 11125], [2421, 4176], [9275, 10970], [1811, 10074], [214, 3473], [6535, 9804], [9333, 11325], [5152, 7858], [2569, 5178], [2005, 8031], [2282, 10783], [8579, 10304], [1469, 11434], [6574, 9358], [2413, 7267], [8287, 9903], [4328, 4563], [5539, 11128], [1103, 7112], [878, 2298], [5019, 8618], [7412, 8922], [3177, 8602], [1933, 6815], [1589, 7005], [3454, 7190], [4147, 5656], [255, 2292], [2548, 5398], [4325, 7648], [340, 8257], [550, 4869], [2647, 9541], [517, 2477], [4823, 4892], [280, 6671], [868, 6841], [6181, 7720], [7516, 8871], [2483, 11015], [492, 8247], [767, 10172], [1349, 2980], [2374, 9567], [796, 8658], [4872, 8167], [9631, 11116], [2172, 6400], [3311, 10645], [1439, 9289], [2944, 9131], [1776, 5676], [1966, 11435], [4001, 8059], [357, 8961], [1718, 4917], [2740, 4413], [787, 7791], [97, 928], [635, 3987], [4494, 4959], [3647, 10944], [528, 3366], [5825, 9374], [218, 2386], [2425, 6472], [7349, 7768], [10119, 10274], [4140, 7844], [2980, 10666], [6218, 9076], [939, 7781], [9743, 10926], [6009, 8902], [5598, 7116], [677, 6091], [742, 4234], [951, 1375], [2415, 6134], [6582, 7259], [6680, 7794], [5035, 5663], [50, 6343], [5932, 6588], [9220, 11531], [1655, 3413], [8079, 10623], [1947, 7197], [980, 10414], [4958, 6382], [1761, 3809], [8884, 9330], [7547, 10762], [3275, 7931], [2168, 8105], [200, 6287], [1289, 4753], [1566, 3341], [4771, 9939], [3305, 9271], [8881, 9032], [1338, 4645], [4646, 8712], [2249, 10164], [1463, 10009], [5912, 7814], [103, 9737], [2367, 7941], [7571, 11506], [5171, 7779], [2363, 11205], [11105, 11220], [4971, 6967], [10134, 10531], [3568, 10031], [4230, 9184], [2922, 9856], [3514, 7516], [2423, 5971], [2010, 10528], [8276, 9982], [5375, 10211], [420, 7350], [1239, 10651], [5712, 7352], [4471, 9246], [3077, 10144], [419, 7879], [4211, 7629], [8978, 11193], [1843, 8321], [614, 7566], [2306, 3881], [9470, 10901], [5554, 9395], [9540, 10142], [5457, 9462], [574, 8167], [7267, 7688], [412, 10091], [3836, 5473], [5916, 7532], [5604, 5725], [1213, 4892], [510, 9845], [3205, 4852], [1904, 2531], [2859, 4215], [1291, 10410], [3767, 6053], [6157, 6840], [6943, 7749], [1220, 5282], [5568, 7199], [2700, 3404], [7312, 9309], [6718, 8570], [4484, 6044], [608, 3213], [129, 7120], [8701, 11450], [497, 5826], [5753, 9581], [7432, 11296], [2077, 4529], [7765, 10193], [4907, 7840], [3135, 3682], [6266, 7133], [8012, 10824], [1983, 4113], [2296, 8774], [727, 7227], [2594, 5987], [5809, 9863], [2001, 8856], [1230, 2563], [5665, 9360], [7693, 8977], [7290, 7806], [8933, 9864], [308, 1766], [3898, 8929], [443, 1402], [1036, 1916], [5702, 8838], [5747, 7857], [6820, 8042], [1402, 10375], [9712, 9979], [5342, 10023], [7692, 8725], [25, 8998], [5092, 9848], [2798, 8769], [5007, 7266], [299, 10698], [3595, 6834], [7304, 11245], [10356, 10431], [2908, 10068], [2224, 6403], [3688, 6244], [10009, 10323], [1845, 3374], [323, 9190], [1474, 4370], [4582, 11035], [4680, 8160], [2839, 8369], [8630, 9250], [2095, 10315], [6632, 10973], [531, 2696], [3521, 8174], [6038, 10234], [1830, 2692], [3515, 7605], [929, 6906], [2522, 3185], [2205, 7450], [7303, 9865], [1336, 4786], [3640, 6553], [203, 10185], [492, 3872], [7985, 9670], [3219, 3298], [271, 1429], [4433, 7128], [6406, 9290], [4028, 9294], [1108, 9473], [394, 3714], [4119, 8658], [4344, 11220], [7150, 9973], [2751, 4361], [139, 3195], [4701, 4849], [4983, 7945], [2309, 7399], [3238, 7862], [1312, 3237], [4326, 8355], [5735, 6237], [778, 8965], [1999, 3386], [3201, 11363], [3803, 10465], [8502, 9199], [9214, 11125], [1984, 7989], [3816, 9946], [925, 2195], [4751, 7945], [1552, 8709], [5525, 7339], [1039, 3236], [3944, 9542], [8015, 8707], [4837, 10348], [10783, 11140], [6361, 8742], [6739, 7382], [3497, 11482], [940, 5859], [4670, 8895], [408, 5998], [5418, 6314], [4198, 9085], [1291, 10223], [9992, 10237], [1654, 7831], [1241, 10136], [3075, 8756], [6812, 8799], [5664, 6720], [4390, 6222], [5314, 9347], [985, 5228], [336, 11198], [1611, 1718], [6029, 10790], [924, 4952], [1357, 10469], [3783, 6749], [4285, 7899], [1919, 9418], [3041, 3860], [2693, 8812], [8336, 9041], [549, 2796], [3868, 6298], [3778, 9788], [4280, 10938], [4116, 9783], [377, 6661], [4523, 7663], [4824, 8557], [296, 11368], [2924, 4399], [1375, 8392], [1468, 5173], [3553, 7576], [10060, 10125], [6230, 7639], [3645, 10548], [2241, 10758], [2091, 7781], [842, 4896], [4448, 8428], [3450, 10080], [1798, 3772], [3642, 10250], [5070, 8182], [114, 11512], [25, 5778], [3750, 9968], [5245, 9122], [2568, 2643], [1260, 9731], [821, 6651], [4845, 10134], [4026, 9085], [793, 4603], [2785, 10979], [8635, 9057], [920, 3624], [10128, 11548], [2561, 2603], [5293, 9543], [4429, 7223], [1122, 6764], [6765, 6993], [15, 4686], [1940, 3424], [63, 3976], [9833, 10095], [8711, 9991], [2467, 6324], [2897, 5154], [7850, 11352], [2174, 2315], [773, 8458], [6289, 7414], [1270, 2848], [4974, 6915], [4855, 9667], [8831, 11224], [3232, 11267], [9417, 11321], [6256, 8405], [4840, 7100], [2813, 8839], [6841, 8277], [298, 3819], [2446, 4292], [8970, 10228], [1852, 3553], [4432, 10099], [5206, 9493], [5323, 10078], [6596, 11105], [1056, 1175], [3089, 7552], [811, 4754], [8723, 10701], [9991, 10630], [2424, 8101], [5314, 9965], [2203, 6412], [10014, 11553], [8861, 9130], [8797, 11589], [5430, 11079], [1209, 8183], [3480, 7558], [4462, 7655], [2106, 9862], [6397, 7081], [5684, 11346], [1107, 7125], [3474, 6962], [3092, 3662], [7887, 9274], [253, 5523], [4967, 9453], [3618, 9370], [5557, 6286], [4858, 8005], [283, 447], [10284, 10451], [4052, 9827], [7531, 11332], [1158, 4811], [4836, 9909], [4616, 5439], [349, 2198], [1684, 10519], [190, 1387], [3648, 8431], [491, 4533], [3271, 6229], [8530, 9501], [625, 11114], [391, 4302], [2305, 9267], [2675, 8046], [4375, 10638], [4843, 6542], [6126, 7503], [2069, 5792], [83, 9784], [5778, 10203], [5532, 7518], [2068, 6321], [4652, 6193], [545, 5119], [1376, 5047], [8726, 9039], [6637, 9146], [3600, 4576], [2753, 9807], [2593, 8394], [1127, 1310], [9815, 10888], [412, 8912], [4020, 6101], [7328, 10168], [7261, 8946], [7497, 10943], [2242, 10796], [3369, 4828], [2932, 4827], [2033, 9868], [8411, 10317], [627, 10005], [1783, 9693], [6098, 9218], [8178, 11277], [5747, 7483], [7340, 10178], [459, 11360], [4287, 10767], [5190, 5845], [4536, 11471], [5745, 10793], [991, 5182], [1455, 10012], [8573, 11025], [1644, 6501], [264, 4853], [5282, 5784], [3816, 5116], [894, 10884], [4521, 6625], [1754, 10052], [811, 1989], [2490, 3704], [1507, 6388], [3253, 9325], [2775, 7071], [66, 7470], [494, 10391], [3054, 9115], [6851, 9209], [593, 3200], [6509, 9445], [2111, 7441], [1147, 1507], [18, 10812], [3416, 6471], [6707, 8679], [888, 9914], [8573, 10220], [1606, 9376], [3968, 8115], [1761, 9664], [822, 2097], [533, 1994], [7237, 11473], [2251, 2883], [4678, 6935], [6722, 9337], [1521, 3037], [9409, 10088], [3172, 9120], [1245, 3893], [407, 6958], [4825, 9614], [6201, 7356], [7932, 9261], [36, 7954], [5597, 5929], [4736, 10296], [4860, 5636], [10144, 10658], [1459, 2509], [2295, 2781], [23, 10351], [5398, 11354], [2667, 8022], [1953, 3017], [8453, 8559], [4134, 5128], [2190, 2206], [6212, 11278], [1071, 5029], [8882, 10170], [570, 7487], [671, 7539], [2290, 9203], [392, 8124], [2725, 8377], [6699, 9861], [5432, 10534], [1592, 7360], [4393, 5769], [878, 2355], [6237, 9241], [8591, 10371], [6476, 11509], [2273, 4311], [5570, 9717], [773, 3278], [2343, 8433], [3767, 8875], [4763, 11314], [5375, 5462], [154, 8309], [2071, 2268], [8089, 8790], [4937, 9400], [18, 9202], [171, 5280], [1640, 3213], [632, 4177], [2755, 2900], [7261, 8409], [7992, 8857], [201, 7374], [5557, 8327], [602, 1302], [1295, 6184], [5371, 5693], [5963, 9769], [1081, 11328], [9871, 10633], [470, 2314], [3455, 7448], [4867, 11263], [932, 4065], [2217, 2443], [5324, 8506], [6382, 11069], [381, 744], [4613, 7182], [8520, 10854], [2921, 10143], [2613, 5826], [9309, 11280], [8965, 11470], [773, 8889], [2022, 9522], [3140, 8726], [3021, 10724], [2543, 4306], [435, 10779], [2792, 5010], [2862, 9913], [1367, 4343], [2146, 4081], [5843, 11141], [7424, 11567], [5803, 7578], [205, 10475], [1105, 5282], [543, 9716], [3864, 7629], [4182, 6972], [9973, 10105], [6482, 11249], [5109, 6608], [2901, 5303], [1531, 4343], [1632, 11565], [10216, 10240], [2680, 2860], [3490, 8327], [2406, 4543], [11265, 11559], [4106, 4883], [1161, 8947], [5411, 10329], [6008, 8333], [4454, 11228], [6326, 6922], [6849, 8949], [6405, 11187], [3676, 8682], [1176, 9255], [1207, 11574], [519, 4784], [740, 3440], [1796, 8182], [4982, 10566], [110, 3044], [9793, 10295], [4870, 9601], [21, 3726], [6249, 11024], [3187, 4734], [2533, 5442], [8482, 9915], [2974, 7070], [4207, 10196], [255, 2617], [7262, 9653], [1231, 7033], [3316, 9436], [8569, 9510], [1009, 1736], [4, 2217], [9649, 10142], [7255, 9613], [6472, 8221], [3919, 4252], [3056, 11202], [1062, 8163], [384, 5067], [2314, 10565], [6629, 10090], [1441, 10411], [1020, 8691], [192, 8280], [4330, 8667], [2897, 3975], [1613, 9205], [5563, 6131], [1146, 10493], [3232, 10088], [3011, 7645], [7770, 10594], [4095, 5767], [2192, 4344], [8793, 10692], [822, 7521], [1073, 11304], [1591, 6571], [1847, 8446], [3841, 5069], [9868, 10199], [195, 4390], [1659, 8395], [2435, 4452], [2060, 9493], [2585, 7429], [7013, 9275], [10497, 11124], [5387, 6440], [3613, 5619], [2178, 7270], [3241, 6013], [1393, 2799], [5782, 6969], [10900, 11514], [5721, 8945], [2931, 8416], [1605, 4375], [8748, 10518], [4539, 11419], [7423, 9331], [1179, 5664], [7865, 10430], [4625, 11193], [6650, 7129], [184, 417], [9979, 11319], [7148, 10789], [512, 5386], [611, 9529], [3787, 7061], [760, 8871], [426, 9749], [5219, 11528], [2936, 11392], [8036, 8218], [3526, 5973], [2896, 5577], [2834, 3945], [855, 2692], [3498, 3925], [385, 10879], [509, 2055], [6264, 9695], [7633, 10430], [2220, 5937], [2342, 7620], [4670, 7529], [2400, 11008], [1182, 4026], [7529, 9326], [461, 8430], [1084, 1239], [3119, 10695], [1302, 9046], [2703, 8565], [8819, 11458], [2869, 3350], [1434, 8411], [1773, 8631], [5566, 11235], [4853, 9084], [1837, 3139], [2893, 11291], [4352, 10788], [6248, 11040], [5035, 8566], [6253, 9132], [3224, 10115], [454, 7609], [7152, 7474], [2510, 5110], [770, 9535], [8273, 10359], [104, 9482], [6265, 9142], [3632, 8597], [84, 5043], [3905, 10449], [3719, 4809], [7074, 10974], [128, 4591], [2414, 4998], [5917, 11061], [6442, 7499], [193, 2734], [1223, 6255], [4703, 9116], [6253, 7977], [8145, 10739], [4547, 7822], [7556, 10344], [5880, 8900], [4075, 8012], [467, 4407], [9993, 10920], [7619, 8414], [3727, 5050], [3172, 9901], [1923, 7770], [672, 11228], [710, 1132], [4913, 6078], [2578, 9162], [1824, 7010], [425, 7564], [7242, 9595], [4219, 8141], [478, 4946], [2594, 6662], [6310, 8080], [8108, 11207], [5959, 7099], [7675, 11325], [1164, 11286], [9655, 9770], [3394, 4244], [1773, 6671], [3928, 7561], [4169, 10656], [3298, 7165], [8786, 10489], [1441, 6841], [3249, 11410], [2611, 10399], [1336, 9299], [7198, 8892], [496, 5121], [3137, 9691], [3830, 10409], [3388, 7058], [4386, 6160], [3476, 3495], [346, 2144], [4826, 6432], [3236, 3254], [1328, 2241], [1887, 3925], [4287, 5400], [6322, 8440], [4223, 7859], [1143, 6625], [5571, 9969], [298, 2103], [531, 10942], [8668, 8928], [2231, 4866], [5503, 8522], [680, 8032], [5905, 6058], [645, 8977], [1295, 6615], [3506, 5185], [455, 8853], [2162, 6200], [7444, 11176], [8791, 10432], [231, 6893], [4530, 8891], [3580, 6073], [3062, 5144], [2151, 10922], [2588, 5261], [1469, 8084], [4666, 10657], [3298, 6360], [1304, 4075], [10703, 10813], [6472, 7229], [2335, 10450], [9465, 9972], [10053, 10142], [5261, 11217], [1899, 11051], [2737, 5734], [5792, 10853], [7342, 10468], [3479, 5590], [7150, 7265], [2912, 6674], [5659, 8230], [4959, 7095], [2194, 4179], [2655, 5328], [11285, 11518], [3374, 4261], [2818, 7012], [444, 10168], [8195, 8842], [8043, 11454], [2871, 10056], [9574, 10265], [101, 1134], [8163, 9304], [1845, 3244], [5323, 10940], [1560, 10430], [1811, 7797], [1897, 6817], [2175, 8259], [1184, 4666], [7661, 8504], [2298, 10544], [775, 9342], [5503, 6562], [530, 9511], [6065, 6265], [8738, 8838], [7556, 7929], [2172, 4928], [2196, 9486], [7120, 10782], [1415, 2505], [706, 4260], [5432, 11233], [3014, 6146], [2319, 5355], [5987, 9765], [4094, 6778], [2972, 6674], [5021, 7168], [726, 8295], [4399, 10797], [3308, 5842], [825, 6022], [409, 482], [5990, 10413], [818, 4851], [701, 10682], [659, 4040], [6109, 11044], [4889, 7399], [1522, 6889], [7411, 10557], [1802, 9158], [2404, 7506], [1246, 11155], [4976, 10027], [3916, 10047], [6631, 7184], [2491, 3718], [3707, 9873], [8306, 11409], [6224, 6271], [10475, 10507], [1149, 10441], [6715, 8760], [1489, 11263], [1353, 7238], [1639, 11207], [1018, 2229], [2378, 11546], [475, 4461], [845, 3240], [1218, 1536], [6006, 10141], [2468, 7275], [4525, 5378], [3155, 11588], [9963, 10867], [2955, 10776], [1988, 6823], [498, 5761], [4820, 8709], [4573, 8051], [9767, 10928], [182, 802], [7246, 10624], [4476, 8118], [3269, 8842], [5277, 9335], [1760, 5094], [679, 11407], [2164, 3457], [3323, 9078], [2219, 3164], [1291, 5555], [1115, 7773], [2481, 10489], [7617, 9978], [1882, 10160], [2505, 2969], [5717, 6574], [2191, 10915], [598, 1804], [3056, 9673], [3397, 3550], [638, 4586], [5149, 10439], [4524, 8135], [5291, 6358], [10898, 11094], [5760, 9280], [10054, 10180], [4106, 9315], [4171, 9710], [1480, 5053], [2391, 10572], [3387, 8847], [2919, 6527], [7623, 9769], [1021, 10366], [6967, 8152], [7550, 10984], [6935, 9368], [6276, 10486], [7212, 7956], [5283, 5312], [6669, 10188], [2536, 7893], [4368, 5686], [4552, 8247], [595, 3734], [2678, 10228], [7915, 9769], [3995, 10773], [2222, 8642], [221, 10848], [536, 3504], [1716, 3586], [6039, 10142], [8811, 10442], [6724, 7212], [3326, 10799], [5041, 8007], [10519, 10643], [3640, 6236], [2117, 11450], [308, 7410], [5999, 11093], [1228, 5875], [1250, 8108], [4498, 7206], [1045, 4670], [6671, 9456], [107, 6373], [6834, 11140], [6913, 9743], [4583, 6755], [2752, 7652], [1871, 9889], [7571, 10652], [4142, 9264], [5520, 7833], [4553, 8044], [8880, 11336], [3708, 5774], [125, 3919], [1621, 10091], [2397, 6148], [1772, 10260], [2890, 9464], [2898, 7827], [6781, 6941], [2758, 10476], [6501, 8055], [5649, 8778], [236, 11455], [4119, 4153], [5022, 5647], [142, 4623], [6792, 7480], [3815, 7125], [3709, 9358], [259, 2175], [561, 6677], [5636, 7388], [1152, 6364], [1333, 2992], [2114, 2803], [8192, 10130], [5935, 8209], [2237, 7340], [5043, 10257], [6748, 6777], [9514, 10295], [3470, 8187], [6561, 7301], [3970, 6258], [9078, 10115], [986, 11148], [417, 2360], [7201, 7661], [2192, 10199], [1633, 2099], [6714, 8297], [3438, 6397], [6247, 8831], [1047, 6139], [9223, 9715], [1291, 8751], [1162, 10815], [668, 3110], [636, 7736], [1875, 5769], [3652, 8019], [200, 4173], [938, 8074], [8961, 10654], [6070, 10073], [867, 9362], [1624, 5369], [1123, 7073], [4669, 9800], [7258, 7764], [2955, 9784], [9426, 10424], [548, 4132], [7249, 10684], [7968, 9617], [7938, 10906], [712, 3008], [8805, 10491], [3105, 3312], [7297, 10351], [4867, 10165], [9349, 10362], [5529, 8564], [2318, 8567], [855, 11580], [4088, 9646], [2434, 9681], [355, 10476], [1651, 6037], [7224, 11162], [6532, 7636], [8407, 8509], [2059, 10154], [3, 6237], [2303, 10514], [3053, 5350], [1463, 7090], [4071, 11520], [3608, 9544], [5845, 10089], [6927, 7384], [5373, 10279], [1956, 3990], [1859, 10473], [6530, 7159], [738, 6807], [8879, 11328], [3655, 9740], [8080, 9403], [3130, 6886], [10098, 10584], [4015, 7050], [7196, 9090], [3422, 9919], [841, 9564], [6660, 8329], [6107, 7591], [1315, 2250], [126, 10750], [4670, 6163], [3119, 9329], [4604, 7795], [1889, 4242], [1157, 4293], [832, 8697], [8175, 11518], [4813, 4936], [9699, 9912], [4759, 8083], [9074, 9860], [667, 10323], [2510, 10160], [2937, 3057], [3136, 6650], [3779, 6527], [7767, 10353], [7573, 10487], [3117, 5095], [1025, 1521], [5955, 6015], [1461, 10719], [248, 8245], [10115, 10887], [3215, 11265], [6257, 10517], [2988, 6378], [8249, 10477], [1143, 2681], [3577, 9402], [2885, 8128], [1933, 10125], [2955, 7369], [6815, 11195], [4687, 5712], [5805, 11332], [1204, 6717], [9289, 10929], [1047, 2569], [5623, 6565], [640, 1656], [8143, 8896], [3193, 6379], [2914, 6964], [1968, 8806], [1508, 7101], [2005, 7153], [2469, 9731], [2345, 7975], [6765, 7294], [3019, 10171], [104, 10694], [1095, 5619], [1803, 6645], [6073, 7151], [8579, 11304], [833, 7312], [29, 11459], [215, 2015], [6925, 11339], [987, 11162], [4543, 8161], [1668, 7359], [5594, 10307], [2796, 11415], [3546, 6251], [79, 1373], [459, 1594], [2410, 7215], [6183, 6915], [4744, 11076], [10470, 10808], [1356, 2519], [1724, 7641], [2536, 7519], [253, 6629], [7671, 9035], [7855, 10842], [10558, 10628], [2624, 6585], [2656, 4588], [4767, 6714], [3963, 10861], [8464, 8856], [372, 10643], [7373, 8065], [5046, 8758], [1157, 11327], [5233, 10836], [8215, 9283], [4504, 4799], [6656, 8424], [3987, 5970], [4357, 4749], [5009, 9630], [4004, 9357], [7711, 11443], [6868, 10000], [4041, 6206], [858, 1087], [3786, 4933], [5244, 11375], [1574, 6892], [982, 9232], [638, 2252], [3850, 5857], [3972, 7540], [1914, 6960], [3430, 6991], [8815, 9436], [2212, 9808], [4483, 9183], [2654, 3737], [7325, 7593], [4295, 9132], [291, 5527], [9674, 11008], [7315, 9534], [2523, 8357], [3330, 3727], [814, 4521], [437, 1565], [51, 7945], [3103, 10137], [4037, 10944], [7588, 8353], [3331, 9964], [2043, 2243], [24, 3089], [2515, 11098], [2971, 11149], [4789, 9990], [3502, 11539], [1358, 4769], [1982, 7602], [8052, 10150], [4910, 11448], [223, 2925], [9441, 11537], [1540, 9886], [4926, 8948], [282, 9921], [1218, 7391], [3300, 3861], [7637, 7841], [3344, 10549], [3549, 6817], [3647, 8106], [595, 8166], [8782, 9622], [5358, 7824], [1151, 9552], [2398, 8604], [2307, 2824], [6038, 10966], [1088, 2033], [652, 4886], [779, 11077], [8920, 11434], [3158, 6787], [979, 10384], [6154, 9047], [1362, 3706], [2035, 6458], [2403, 5164], [6208, 9283], [2283, 9943], [294, 7248], [9137, 10321], [6298, 11428], [5740, 10346], [8725, 9064], [7326, 9618], [8091, 11178], [7571, 8668], [4861, 9596], [121, 10861], [5660, 8488], [5250, 10310], [4871, 7281], [4721, 9966], [7959, 8376], [5779, 9119], [1101, 4846], [3685, 8882], [5589, 6743], [5778, 8894], [2473, 2846], [4240, 6660], [7142, 9285], [222, 11293], [330, 1936], [2966, 6162], [561, 4343], [882, 6613], [5198, 5582], [3183, 8082], [7563, 10254], [1306, 11263], [1903, 2851], [5793, 10306], [9606, 10933], [6250, 7549], [558, 10811], [10821, 11201], [2791, 6696], [1180, 9811], [3162, 9083], [6400, 7493], [6806, 8181], [1145, 10756], [1331, 3564], [8077, 8381], [1198, 10390], [5121, 6651], [1234, 10047], [5752, 9901], [2261, 7635], [710, 10801], [1724, 3266], [3404, 7835], [5458, 8673], [7975, 11487], [230, 10349], [5175, 10270], [4774, 9926], [3396, 4941], [1094, 9636], [968, 4801], [3734, 9817], [3168, 11126], [584, 1428], [9398, 9425], [1081, 1480], [767, 10180], [834, 4986], [2241, 8457], [8454, 10559], [2421, 7112], [7061, 8649], [2422, 4304], [460, 5684], [2162, 2687], [1513, 8657], [1974, 2636], [6855, 7268], [8479, 9276], [2844, 8908], [5337, 6410], [3744, 10885], [7916, 10102], [3475, 5742], [3564, 9197], [2602, 6342], [1335, 2127], [6915, 7669], [3178, 8380], [3052, 9961], [4724, 7499], [8151, 8814], [2666, 9925], [4419, 7617], [212, 10843], [824, 3493], [832, 7518], [3633, 5927], [964, 9889], [4383, 10589], [1699, 2939], [4620, 10532], [550, 7805], [6178, 7002], [3155, 6302], [7559, 11504], [5405, 11216], [5333, 5486], [2793, 11548], [9202, 11310], [3603, 10599], [2342, 6953], [922, 6630], [1543, 2776], [352, 11203], [4958, 6740], [3430, 5194], [933, 3786], [1063, 9494], [7539, 10478], [4917, 10122], [4920, 9639], [254, 465], [2247, 4033], [862, 2041], [8184, 10401], [5481, 9117], [219, 11209], [1031, 6923], [2669, 8637], [3412, 6466], [5466, 7304], [3379, 4074], [4996, 8321], [7463, 7608], [5663, 7818], [794, 6229], [1795, 9012], [6965, 7331], [1762, 6620], [2097, 2180], [194, 5675], [2745, 7319], [5112, 8654], [7333, 8666], [562, 7010], [598, 6667], [4827, 9424], [5892, 9748], [66, 9812], [1253, 4649], [780, 1985], [8930, 10756], [3892, 8392], [848, 6815], [755, 4372], [8783, 11460], [1549, 4418], [595, 9752], [4759, 4944], [3733, 10964], [1523, 6580], [1203, 7164], [5255, 6279], [1946, 4993], [490, 9177], [5130, 10714], [2601, 6385], [791, 5907], [6895, 7285], [4995, 10297], [2340, 5297], [1667, 6709], [2570, 8203], [5095, 10878], [3459, 11519], [3161, 8644], [3084, 5980], [4398, 9260], [509, 9577], [3750, 5252], [8409, 11003], [4610, 10082], [4419, 11268], [7409, 9576], [3400, 4873], [5208, 5278], [9468, 10758], [7123, 8990], [476, 10568], [11388, 11404], [4662, 7239], [5720, 6392], [8084, 8210], [2927, 8598], [864, 3510], [1304, 7946], [4139, 4431], [1023, 7704], [8805, 11353], [7277, 9807], [1305, 4384], [3251, 3999], [7146, 11044], [3317, 11412], [115, 9249], [8107, 10264], [3322, 6094], [4447, 5715], [6517, 7086], [6522, 8184], [5847, 8769], [1042, 2469], [3624, 5678], [487, 8074], [1108, 10636], [2528, 3789], [10106, 10614], [2570, 7398], [3117, 7567], [2181, 10097], [10162, 10923], [981, 7828], [3084, 5175], [6012, 9021], [5867, 6388], [4205, 8060], [8415, 10767], [8322, 8324], [2463, 5996], [2831, 10364], [3242, 9898], [7937, 11142], [2987, 8625], [3142, 6284], [2028, 9451], [239, 3434], [8937, 9536], [5066, 7049], [7832, 10567], [2978, 10010], [6089, 7147], [4540, 11140], [3042, 5299], [3255, 6346], [8029, 11081], [4197, 7768], [6487, 11357], [9045, 10008], [3656, 10827], [829, 7033], [3501, 6752], [796, 4641], [6623, 7431], [2377, 3569], [4921, 10458], [6232, 7051], [5650, 10079], [3862, 7670], [603, 8383], [8158, 8643], [1991, 9168], [4140, 6860], [136, 2501], [1404, 9600], [8680, 11199], [1221, 9893], [1489, 4985], [3426, 4484], [5131, 7420], [2541, 9985], [1864, 7491], [2387, 9518], [367, 1094], [1153, 2003], [4138, 6383], [4191, 9427], [2820, 6367], [2107, 10632], [4686, 9406], [5844, 9921], [4651, 11105], [3408, 5756], [574, 11371], [4627, 9176], [706, 910], [10095, 11124], [759, 10370], [1597, 11469], [74, 10267], [2560, 7352], [4184, 8606], [3315, 6696], [3864, 6938], [287, 4898], [7998, 10589], [4584, 9479], [5957, 7704], [6227, 11537], [501, 8799], [6915, 8905], [1750, 5268], [8935, 10913], [9031, 11375], [877, 5114], [2250, 3339], [8252, 10856], [1616, 5453], [5287, 7128], [3707, 9556], [9462, 10780], [8340, 9922], [799, 6362], [952, 3194], [4596, 6456], [6342, 10147], [8465, 8870], [3873, 10033], [3007, 7640], [3969, 4079], [8455, 11565], [1292, 6645], [2663, 4043], [4676, 11296], [3970, 10316], [104, 8173], [1747, 7979], [1946, 11572], [263, 5951], [8597, 10867], [4142, 8329], [1961, 2431], [1926, 9792], [5761, 6206], [2175, 6332], [9083, 9979], [2366, 3648], [399, 11100], [9017, 9359], [4787, 9383], [4842, 9090], [1759, 1923], [203, 11161], [6333, 11508], [3025, 4408], [9108, 11325], [1352, 6645], [1345, 5474], [7881, 10673], [4948, 5702], [3031, 5327], [6629, 8244], [2859, 5809], [9555, 11263], [185, 3011], [939, 4382], [3236, 4978], [6875, 8650], [2975, 3890], [712, 2878], [4347, 10558], [400, 7487], [6491, 7906], [801, 1415], [4376, 9798], [3854, 10625], [4035, 7253], [3625, 10573], [113, 1014], [4208, 4737], [2132, 9213], [3596, 9054], [1536, 7647], [5746, 10354], [3176, 3772], [4399, 4682], [5514, 10785], [6042, 6740], [1503, 6009], [5614, 11366], [1469, 9808], [404, 3822], [2836, 9716], [992, 3992], [5942, 6509], [5329, 7972], [2423, 5605], [1301, 4747], [251, 6209], [7379, 11320], [903, 8084], [5259, 9862], [9118, 11588], [835, 8889], [1425, 10640], [763, 907], [6751, 8718], [3129, 6935], [3659, 3717], [2910, 8325], [3947, 5847], [6400, 11120], [3090, 6980], [920, 5405], [4410, 11206], [4646, 7541], [2118, 10230], [2252, 7012], [4215, 8486], [2785, 9727], [3991, 8778], [5261, 5370], [5708, 6813], [902, 3294], [5666, 6587], [0, 11070], [1557, 4686], [1935, 8244], [9125, 10823], [4577, 11504], [7065, 9416], [2051, 5194], [564, 10065], [4843, 9933], [8743, 10906], [6150, 9790], [7682, 11455], [8725, 9576], [700, 5415], [4098, 5992], [1085, 5980], [2060, 2654], [1412, 7314], [5307, 8697], [6984, 7333], [3191, 9610], [1224, 11400], [808, 2854], [2123, 6736], [4972, 7845], [4571, 7501], [125, 2797], [10054, 10481], [7841, 8078], [4639, 5915], [4470, 10078], [20, 7884], [273, 6078], [3883, 9729], [2732, 8133], [3749, 7285], [7209, 8740], [3260, 10504], [3039, 8815], [3994, 10499], [6487, 8755], [702, 11072], [2065, 2193], [517, 9040], [3740, 6418], [5928, 10454], [2810, 5730], [134, 9275], [3706, 10971], [6672, 11137], [841, 10857], [3516, 10093], [2269, 2373], [6066, 8883], [899, 8583], [3915, 8112], [1156, 9148], [4081, 7061], [1359, 9507], [5760, 8776], [5161, 9945], [6372, 9340], [7251, 10440], [2726, 2999], [6841, 8098], [544, 7079], [1051, 8573], [8336, 10635], [10380, 10785], [5302, 9022], [6489, 11029], [4529, 6820], [4615, 8092], [9627, 9989], [4212, 4669], [3576, 4458], [3403, 6193], [8034, 9896], [9275, 11385], [466, 1480], [5531, 7919], [2857, 7373], [5324, 10824], [1391, 6705], [7122, 7535], [5711, 6574], [391, 5278], [6777, 9752], [11032, 11478], [1693, 4791], [6613, 8597], [4474, 9341], [5988, 8545], [5463, 9855], [8895, 11514], [6987, 10501], [131, 628], [5901, 9300], [10533, 10976], [2964, 7620], [16, 6505], [854, 1188], [2376, 10833], [2130, 7394], [3183, 3951], [4120, 10691], [6634, 9824], [4459, 10911], [2736, 5891], [738, 1952], [333, 4118], [9809, 10514], [2059, 9032], [10736, 10904], [4876, 5722], [1956, 5901], [4788, 9285], [7188, 11514], [10600, 11043], [9483, 11283], [2205, 2441], [11480, 11587], [10850, 11191], [10891, 11192], [867, 10818], [3140, 6856], [1423, 2405], [1077, 8184], [7338, 11458], [1408, 4002], [1416, 11033], [2481, 4187], [4840, 5661], [6176, 10420], [257, 8041], [9496, 11114], [4513, 6205], [3334, 9731], [7253, 10754], [5771, 9553], [2487, 4382], [5040, 9105], [2363, 2626], [2397, 7872], [188, 9375], [778, 3956], [6686, 8428], [5540, 7176], [9244, 11243], [992, 8611], [7468, 9595], [2265, 8884], [928, 11070], [2275, 9572], [839, 10998], [392, 3139], [1450, 6456], [4404, 5107], [859, 5988], [5341, 6185], [4692, 5739], [948, 4525], [5810, 9107], [1978, 5794], [1572, 5106], [6174, 10323], [2564, 5137], [1473, 10762], [8942, 9750], [1253, 2128], [1626, 4588], [2376, 5840], [3121, 4496], [2434, 9982], [3900, 4234], [3998, 4769], [1475, 8556], [9401, 11203], [9440, 11131], [992, 10839], [1690, 8895], [1867, 3869], [9077, 11264], [6152, 11099], [6344, 7105], [2043, 3536], [313, 10901], [797, 6584], [6779, 11197], [3293, 8521], [2352, 4291], [149, 3330], [897, 7919], [6205, 7700], [2664, 5317], [2354, 10753], [331, 2812], [3260, 9512], [2665, 5919], [3411, 9681], [2227, 5693], [4594, 7782], [1727, 11005], [2847, 11036], [4366, 8332], [593, 2216], [536, 5846], [619, 1185], [2750, 11103], [319, 1647], [163, 353], [5412, 9353], [7292, 9072], [4200, 9733], [1922, 6935], [3606, 8994], [7463, 9893], [3199, 11087], [3856, 6890], [52, 5625], [4977, 9775], [1543, 7289], [3566, 9568], [1260, 11138], [737, 2695], [787, 2058], [138, 3864], [4403, 10442], [7204, 8851], [2254, 6334], [14, 6272], [1254, 10569], [4557, 7876], [11, 5974], [3006, 11042], [1416, 8618], [845, 9583], [6822, 8934], [8775, 9720], [2676, 7905], [4828, 11530], [1132, 5826], [8589, 9715], [7345, 7928], [3890, 10981], [5763, 9529], [7248, 7995], [6657, 7527], [6531, 8354], [1369, 8398], [645, 1951], [614, 2638], [1080, 1879], [140, 6919], [6399, 10120], [3699, 8353], [3035, 8373], [5251, 8041], [3902, 7958], [5433, 9775], [3700, 11207], [2787, 9025], [7308, 8396], [2224, 3435], [6623, 8293], [6520, 11578], [4005, 8810], [856, 8937], [2616, 9328], [9876, 11148], [5111, 7630], [10266, 10579], [5942, 7558], [2843, 5520], [407, 2136], [2545, 7583], [7352, 8294], [4050, 8179], [1963, 4949], [745, 1377], [7654, 8632], [1489, 9230], [4816, 10341], [2978, 10067], [2362, 5597], [6969, 11158], [1761, 3687], [4911, 6414], [1981, 5905], [4104, 5382], [5907, 8853], [1862, 10909], [2911, 5812], [6545, 8386], [8112, 9860], [3501, 6809], [8354, 9393], [2056, 10401], [4738, 10808], [406, 756], [5209, 10393], [3335, 8210], [8593, 8628], [2161, 11326], [2347, 4134], [344, 9677], [3124, 7209], [1837, 8758], [8755, 10087], [498, 695], [7839, 9859], [3675, 8251], [5566, 7405], [7563, 7709], [239, 2686], [56, 3733], [3049, 7974], [298, 9682], [4410, 4684], [7436, 9065], [2290, 9642], [301, 2783], [4845, 8776], [299, 6120], [4344, 10480], [3943, 10136], [4934, 7313], [7124, 8012], [18, 10796], [8615, 9676], [6242, 10024], [2653, 4217], [7267, 10949], [7736, 9707], [4026, 8077], [1999, 9062], [6173, 9106], [4117, 7441], [9194, 9733], [4547, 7025], [8072, 8875], [1531, 10125], [9994, 10725], [11078, 11099], [778, 8575], [1645, 3996], [8393, 10394], [769, 7331], [4036, 8391], [3788, 4125], [902, 10304], [9610, 10735], [1819, 9252], [3475, 9263], [3757, 5943], [2909, 4156], [3406, 4962], [2750, 9761], [5711, 9583], [3598, 11548], [2973, 11496], [1791, 4171], [6266, 7361], [8, 7768], [2069, 9777], [5621, 10040], [281, 952], [8725, 10170], [4108, 8802], [3736, 6944], [905, 6414], [7343, 11078], [2616, 10296], [6377, 10733], [5508, 8069], [460, 5017], [6654, 7069], [6344, 8341], [1640, 9263], [10418, 11187], [1832, 9433], [3472, 5558], [2668, 3289], [9199, 11150], [2263, 5455], [4625, 11364], [5895, 7956], [724, 3750], [1604, 9956], [2134, 6738], [2783, 4932], [10853, 11465], [478, 10110], [4903, 9773], [9872, 10088], [5362, 7843], [2874, 7679], [2559, 8607], [4216, 6591], [1525, 8350], [2710, 8776], [623, 9710], [2742, 5281], [5192, 6119], [1551, 6538], [2932, 11040], [4391, 8285], [7529, 9497], [8747, 10063], [3661, 4275], [3953, 8059], [2547, 7442], [1745, 6754], [1554, 3022], [1829, 11363], [1421, 7596], [8803, 10345], [2237, 9845], [4066, 8875], [2161, 4373], [2911, 5625], [7854, 11135], [9232, 9704], [7823, 9570], [8948, 9945], [3377, 4866], [2542, 7448], [417, 1482], [3775, 11328], [4921, 10328], [1275, 3233], [5118, 10842], [3181, 4173], [3680, 5806], [3585, 8952], [4364, 7936], [4923, 9620], [9255, 11004], [3674, 10872], [1427, 9639], [2122, 4768], [2979, 10081], [2055, 3546], [5694, 6464], [716, 8315], [88, 4582], [3458, 9527], [2135, 8413], [6661, 8882], [10233, 10578], [5904, 7213], [5136, 11017], [3858, 3984], [5155, 8815], [965, 8238], [10633, 11451], [5585, 8399], [2957, 8198], [961, 5086], [333, 5517], [7805, 10438], [11031, 11497], [6702, 8132], [9539, 9608], [2543, 6868], [1349, 10860], [4568, 9220], [7794, 10279], [4962, 6141], [2308, 6247], [1690, 7366], [9291, 9479], [4210, 9697], [696, 3475], [2308, 9630], [2750, 10729], [9097, 9613], [95, 1565], [504, 6688], [5008, 8364], [4767, 6023], [3302, 8209], [9236, 10896], [6655, 11295], [1765, 8829], [5136, 10212], [1569, 8136], [1381, 8839], [483, 1273], [2348, 5622], [2219, 3522], [5343, 11444], [4863, 7609], [6210, 6865], [2915, 7921], [9229, 10075], [7080, 10131], [2216, 3224], [4524, 11526], [4806, 10458], [2559, 9225], [945, 6407], [6134, 11192], [1158, 7454], [8501, 10275], [342, 3670], [371, 9326], [1343, 6453], [6698, 10187], [2734, 10919], [3203, 9677], [1084, 5411], [6749, 9371], [3480, 9396], [3941, 10545], [1355, 9846], [801, 2090], [3695, 7106], [3724, 5592], [6272, 9971], [1261, 9430], [3498, 3559], [1765, 4991], [2479, 10750], [4867, 10710], [3314, 10797], [4453, 8626], [3742, 9554], [5524, 5732], [4330, 9724], [2181, 9780], [5429, 8878], [8569, 10917], [2152, 4878], [3992, 6696], [6323, 6876], [6199, 8530], [4354, 11249], [870, 2984], [10083, 11252], [5759, 7477], [3911, 4263], [2983, 10818], [4628, 7287], [493, 6417], [9049, 9460], [1150, 2220], [1571, 10386], [7558, 11179], [1416, 2901], [2047, 10315], [9444, 9989], [7428, 8854], [270, 11448], [3004, 5629], [6455, 11502], [1541, 5232], [223, 10878], [2635, 3288], [4149, 7410], [4496, 10901], [10129, 10442], [1469, 6295], [879, 3046], [6109, 7832], [10180, 10380], [4731, 6230], [182, 4811], [5999, 6913], [2549, 10310], [9586, 9641], [4732, 9838], [1315, 9211], [6721, 10281], [3330, 4459], [1157, 1455], [0, 8712], [6029, 8253], [6870, 8869], [487, 2414], [8743, 11581], [5252, 8561], [3033, 3714], [637, 2358], [7496, 9496], [6623, 9342], [8703, 11401], [6647, 7484], [3784, 4787], [2263, 3658], [72, 3488], [2840, 5921], [40, 4704], [2219, 10906], [9657, 10581], [3464, 9131], [6439, 9413], [625, 10992], [5635, 11308], [7748, 9343], [160, 6691], [714, 3113], [5602, 8916], [686, 5983], [472, 6963], [6561, 7309], [4042, 8586], [3548, 5045], [2735, 5696], [3829, 10922], [1083, 5804], [2571, 10203], [6019, 10143], [10850, 11248], [387, 624], [1510, 10752], [1911, 5434], [2936, 8611], [1729, 9335], [6706, 7259], [8106, 9559], [2034, 6938], [2213, 8401], [7517, 9918], [2717, 3962], [26, 5721], [1738, 3412], [32, 2503], [3855, 4572], [7, 11306], [36, 9792], [3739, 4589], [843, 5162], [7899, 8707], [583, 9961], [6001, 8382], [2145, 4675], [3827, 10071], [897, 5398], [2767, 10091], [7283, 9872], [5442, 10081], [8109, 9456], [3816, 11410], [2021, 5548], [2790, 4598], [3849, 10769], [7832, 7835], [5924, 6068], [83, 9207], [1969, 8017], [1530, 11353], [922, 6744], [4923, 10051], [1778, 2006], [3713, 7848], [4988, 8948], [2689, 7525], [4479, 6627], [7262, 7840], [10240, 11049], [6919, 10884], [8306, 8815], [2148, 4168], [1329, 7283], [4699, 5812], [5077, 10868], [960, 4942], [1361, 6040], [4479, 6977], [3887, 9317], [958, 5246], [7988, 10576], [240, 2751], [1911, 10240], [7231, 11536], [5806, 10869], [7289, 8508], [6664, 9210], [4590, 10349], [9103, 9859], [660, 10665], [409, 6882], [125, 707], [5355, 9657], [2206, 9784], [8190, 11060], [5317, 6921], [3143, 10862], [1623, 6925], [7925, 8318], [1075, 8813], [7423, 10551], [3536, 7531], [79, 9757], [5769, 10586], [8755, 11404], [326, 3972], [830, 5195], [6296, 6316], [2008, 9368], [518, 4142], [1543, 10729], [538, 4794], [856, 3383], [2191, 5288], [2230, 10878], [379, 10399], [1597, 10965], [1024, 4687], [2405, 2773], [1861, 2151], [5852, 9658], [1329, 2290], [9709, 9803], [5170, 9072], [2393, 4641], [9775, 11554], [718, 3799], [5783, 10992], [5975, 11162], [6211, 6743], [3358, 4734], [1538, 2814], [4719, 7106], [2384, 10190], [304, 1715], [8798, 11050], [5966, 6912], [6334, 11280], [2146, 11530], [327, 386], [6025, 7492], [493, 8003], [6424, 11173], [165, 2310], [4564, 7168], [5186, 6922], [3656, 8713], [160, 5349], [2477, 7321], [1940, 7116], [1790, 10555], [682, 7151], [3204, 3893], [7102, 10455]])," [[1610,8643,9093,11368,11289,11432],[0,10942,11588,11585,11586,0],[0,0,11590,11589,10481,0],[0,0,11347,10320,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0,0]] (constructGridLayout 11591 [[1238, 8537], [4450, 5726], [341, 10241], [4445, 5382], [4722, 7353], [9424, 9768], [2695, 8338], [2242, 7804], [4943, 6009], [2300, 4776], [3354, 6439], [448, 10488], [1725, 7470], [1004, 5458], [4997, 9628], [6882, 11219], [5021, 11153], [3524, 8139], [7163, 11057], [3044, 10720], [1717, 7178], [2039, 2533], [2642, 3735], [3154, 5603], [330, 7742], [743, 3939], [2725, 8873], [1725, 3282], [6991, 8479], [1225, 6342], [860, 1491], [5249, 5661], [1670, 6958], [1593, 5048], [9512, 11412], [8447, 11088], [6, 5551], [2657, 5147], [3777, 5178], [4022, 10644], [2341, 5850], [8662, 9929], [3698, 5070], [10771, 11228], [5332, 7766], [8974, 10955], [7066, 9188], [245, 8169], [5441, 7709], [4224, 7745], [4569, 11163], [4774, 5933], [7184, 8096], [3379, 9612], [6118, 10553], [1881, 7154], [6695, 10564], [3472, 6770], [3589, 7355], [106, 2698], [4889, 6041], [6363, 10734], [1943, 4999], [2529, 11512], [3900, 8910], [5015, 7843], [3205, 7365], [629, 8108], [3949, 8048], [3054, 4163], [6158, 6545], [1374, 5229], [832, 11096], [149, 1240], [1683, 6738], [680, 876], [1853, 3951], [2599, 5461], [5967, 9579], [577, 1128], [6710, 7408], [2510, 6143], [8958, 11495], [4588, 11539], [10997, 11301], [10596, 10957], [5080, 5585], [2350, 11523], [3797, 7253], [6921, 8759], [4829, 5185], [1971, 2078], [2181, 3608], [5646, 7659], [135, 379], [4737, 5596], [2808, 3706], [5925, 10457], [8342, 8903], [365, 1780], [1553, 6641], [8614, 10530], [4682, 7767], [573, 5866], [294, 6451], [4502, 8331], [1947, 6945], [1513, 10625], [3565, 10636], [328, 8664], [1901, 3567], [7492, 10022], [539, 9638], [1198, 2104], [5118, 10899], [354, 436], [6670, 10587], [1912, 10492], [599, 4404], [6595, 7969], [2987, 4364], [2997, 5052], [5414, 10668], [438, 2766], [99, 3300], [1372, 9989], [1365, 8818], [4236, 9878], [6474, 6861], [9027, 11584], [3578, 8188], [9457, 11168], [1761, 5785], [8589, 11358], [6280, 9247], [5494, 9092], [1237, 10703], [1832, 7880], [6550, 10828], [203, 6282], [387, 1673], [5175, 10278], [6207, 8210], [3375, 4072], [5923, 8451], [4739, 6715], [704, 7207], [5802, 10376], [4432, 9416], [6550, 7795], [2346, 9040], [4265, 4580], [999, 4122], [937, 3244], [73, 924], [10525, 10635], [5456, 5952], [91, 749], [4136, 5109], [1069, 8244], [589, 5163], [26, 10153], [3265, 11417], [5975, 8210], [6940, 10582], [1990, 8065], [1491, 6432], [1897, 5622], [4378, 8025], [1093, 3353], [2853, 10914], [921, 4589], [7148, 8252], [3447, 7866], [28, 7166], [2860, 4134], [6215, 8047], [1428, 9466], [10946, 11200], [5246, 8185], [5251, 8529], [5143, 9935], [1751, 4642], [1405, 10421], [1535, 9713], [9470, 10194], [633, 11073], [4931, 9463], [3241, 9087], [1058, 3897], [6968, 8442], [1037, 9436], [90, 6889], [1308, 7455], [3918, 6296], [3833, 10130], [1987, 9995], [4537, 8031], [318, 2552], [4545, 6394], [87, 175], [3132, 4606], [1544, 3009], [4071, 6511], [8044, 8551], [0, 930], [6957, 10131], [8103, 9131], [2196, 4103], [4658, 7210], [8071, 10347], [9643, 11411], [5173, 7841], [2101, 4216], [757, 9395], [2746, 4920], [330, 2912], [8038, 11338], [5196, 6512], [5481, 9125], [30, 9066], [2433, 3642], [4797, 5460], [659, 5073], [7159, 11369], [10459, 10657], [5044, 6091], [7012, 7155], [1742, 5222], [288, 6823], [625, 9626], [1233, 1403], [281, 9816], [7526, 9096], [8374, 10883], [3300, 6610], [2734, 3755], [9588, 10549], [2849, 8431], [1425, 11372], [5372, 8027], [552, 11218], [3700, 6702], [1607, 9319], [506, 7840], [473, 5448], [49, 3400], [2031, 8334], [7913, 11585], [3426, 3874], [537, 6372], [3215, 9289], [1431, 3616], [7043, 9450], [7313, 11031], [2803, 8032], [695, 10341], [10141, 11263], [3895, 6015], [373, 7846], [1434, 10680], [1890, 11485], [9357, 10400], [2242, 9658], [3820, 4151], [4379, 5835], [7276, 8116], [932, 6497], [4168, 11250], [4133, 5779], [4370, 11384], [2128, 10495], [7206, 9225], [3412, 9402], [2813, 8319], [972, 7774], [970, 11111], [8005, 10369], [1040, 6188], [8010, 10713], [6291, 9599], [1602, 11553], [9129, 10519], [4888, 7001], [4275, 8464], [37, 4463], [570, 11342], [1083, 5511], [1334, 9294], [3108, 7863], [10836, 11249], [1519, 8293], [22, 6060], [2869, 4814], [3636, 7201], [3476, 9952], [5666, 9897], [396, 1548], [5939, 8743], [6801, 10236], [5403, 7982], [4587, 9116], [4750, 10046], [5751, 8665], [3946, 8531], [4030, 6724], [301, 11460], [7455, 9124], [228, 3253], [8624, 11299], [135, 810], [2588, 8335], [1165, 4331], [63, 11295], [3396, 4307], [379, 6805], [1329, 8145], [1812, 11497], [1218, 10758], [5237, 9733], [616, 5994], [1017, 6338], [7249, 11099], [5250, 7716], [1168, 9890], [10264, 10403], [4531, 7248], [9294, 11070], [5987, 10611], [2406, 11081], [5326, 8650], [2753, 5904], [4618, 6843], [2006, 4923], [5708, 8163], [932, 6765], [5911, 8522], [5945, 7352], [962, 2443], [1027, 3592], [7912, 8945], [9935, 11224], [6685, 10545], [5564, 11043], [2293, 6077], [1013, 8797], [2487, 7074], [5773, 8184], [9206, 11199], [176, 7519], [3882, 5997], [4467, 8902], [3565, 3846], [1605, 6807], [388, 9095], [8913, 10573], [5986, 9581], [948, 7217], [1905, 3312], [1722, 4359], [2739, 2757], [3621, 10544], [3366, 9271], [878, 9861], [9902, 11060], [4711, 5448], [4420, 8682], [9117, 10753], [86, 4219], [7816, 8432], [5631, 8077], [7434, 8138], [8554, 11579], [1519, 2495], [2463, 4744], [844, 3080], [1269, 2320], [4758, 8677], [8247, 10870], [5759, 6542], [4078, 8918], [4699, 11480], [1796, 10882], [9027, 11210], [1052, 7166], [3973, 7589], [790, 8886], [5026, 6398], [2908, 8019], [4188, 5299], [10349, 11375], [2761, 10975], [1765, 6284], [1538, 7059], [3095, 3681], [4471, 5587], [6962, 8678], [5653, 6496], [3414, 9288], [4959, 8559], [3066, 5572], [6698, 10325], [2477, 8183], [5856, 9484], [7065, 8806], [1284, 9744], [2903, 7244], [6222, 10746], [740, 1952], [7159, 9572], [275, 6319], [10799, 11180], [5078, 9540], [2986, 5966], [5288, 11070], [1680, 6711], [6279, 8247], [5379, 6270], [312, 3168], [6309, 10341], [3480, 9884], [512, 2475], [4570, 11204], [6189, 8704], [3262, 7712], [7173, 8874], [1970, 8917], [304, 5155], [3193, 3411], [6954, 8012], [5175, 9099], [3380, 9653], [3060, 10237], [3939, 11337], [3626, 6676], [3055, 3477], [1594, 3153], [10007, 10806], [1810, 7881], [6445, 9074], [1410, 3975], [6043, 10757], [4883, 5665], [10112, 10226], [4355, 8929], [5074, 7862], [626, 6495], [192, 10175], [3200, 3427], [242, 9538], [8461, 9778], [9765, 10118], [1728, 5196], [2359, 8446], [5096, 7062], [7618, 9466], [2415, 9509], [7233, 8874], [3074, 7610], [319, 5412], [415, 5120], [2839, 7743], [6479, 7099], [2535, 3545], [2902, 8442], [474, 9083], [469, 2323], [7003, 9701], [6998, 9357], [4792, 8125], [559, 10884], [3174, 3653], [8671, 10503], [5911, 8685], [4166, 8602], [3192, 8396], [7268, 7905], [1972, 11167], [358, 9847], [11311, 11438], [299, 6234], [6744, 7905], [4593, 7134], [820, 5182], [3775, 7441], [2849, 8407], [4237, 9192], [1103, 11105], [4553, 4702], [2751, 4085], [1650, 4858], [5016, 5897], [6824, 9712], [6750, 11483], [5048, 8064], [8969, 10668], [552, 9689], [1087, 6815], [8272, 8296], [6255, 10723], [2057, 3115], [3741, 11590], [7375, 10754], [4610, 7838], [3794, 8972], [3137, 3747], [4165, 4189], [1538, 3489], [3574, 3721], [9725, 11361], [859, 7338], [3792, 5112], [1452, 7852], [5113, 8839], [3633, 4301], [2716, 11045], [1095, 6302], [7323, 10190], [8818, 9344], [2, 4684], [9315, 10150], [1908, 5624], [1252, 10423], [436, 10803], [3027, 5430], [1028, 2047], [3142, 3690], [1216, 11143], [7477, 11007], [4542, 5990], [3981, 7643], [8246, 9303], [691, 2627], [71, 9335], [3698, 10738], [2710, 6662], [6287, 8702], [5043, 6915], [3517, 6196], [5320, 5503], [5543, 11402], [2618, 7073], [6751, 7116], [9340, 11496], [3425, 8859], [4567, 10369], [3132, 4850], [2980, 5210], [2820, 7961], [2577, 10455], [1639, 9906], [1830, 7222], [3354, 7114], [1169, 7513], [2069, 2320], [2571, 3470], [4159, 5821], [1100, 2458], [6332, 8071], [9477, 10454], [2562, 6390], [2283, 6975], [3747, 4564], [1042, 8869], [6243, 8753], [7260, 11315], [6117, 10334], [2256, 5529], [6824, 7752], [1103, 6112], [6700, 10160], [9093, 10464], [4769, 6689], [4589, 11417], [969, 6297], [6916, 7691], [474, 9701], [2432, 10831], [4426, 7454], [6327, 7296], [364, 5399], [5193, 9087], [5373, 7742], [4036, 9928], [3079, 5165], [245, 6616], [4665, 6689], [5463, 7635], [1695, 2617], [10514, 10958], [4936, 11124], [886, 10584], [7859, 8210], [8173, 10063], [2765, 5914], [1845, 2561], [6022, 8538], [8386, 11110], [2820, 10539], [3291, 5206], [762, 5795], [450, 10404], [4237, 9810], [6394, 8117], [2590, 3846], [413, 4106], [2302, 7351], [8092, 10259], [6325, 6445], [160, 7797], [4476, 6012], [8058, 8396], [1280, 10457], [4632, 10689], [4977, 6937], [3033, 4015], [3015, 9071], [5025, 10391], [1692, 7957], [1203, 7766], [9262, 10003], [1111, 1761], [2477, 5231], [5876, 8662], [2103, 6710], [8662, 9449], [1747, 5385], [3935, 8667], [5485, 8282], [3069, 6274], [10132, 10990], [4177, 8954], [5018, 9570], [1007, 10456], [787, 5986], [4087, 6028], [1351, 1598], [9434, 11399], [4272, 11443], [4241, 9878], [4580, 9344], [2801, 10431], [5703, 6640], [588, 1612], [335, 1166], [7261, 10280], [8596, 11431], [2584, 8861], [5233, 6876], [3294, 4298], [3981, 8611], [5092, 10808], [6212, 10839], [8829, 10851], [4525, 7728], [762, 7218], [2935, 5304], [519, 7460], [357, 9384], [1262, 5289], [2915, 8035], [10007, 11237], [255, 4943], [3936, 5054], [2771, 7532], [5145, 10038], [3925, 6393], [10368, 11401], [4394, 9315], [8377, 8633], [6295, 9911], [1436, 9010], [1715, 2009], [5660, 9171], [2080, 6079], [834, 7629], [5900, 11260], [5587, 6599], [4418, 10059], [2580, 7533], [765, 6711], [5928, 10275], [3839, 10382], [7056, 7915], [11154, 11155], [2469, 3006], [884, 7342], [1066, 6824], [2967, 7420], [1346, 9093], [7447, 10954], [7385, 10076], [845, 11551], [5024, 7775], [1910, 4705], [9320, 9502], [6075, 9921], [3243, 5783], [316, 11207], [2527, 6367], [2470, 9997], [7723, 10071], [34, 1695], [438, 6474], [5794, 7427], [195, 6716], [1876, 9258], [3118, 3802], [351, 7229], [7599, 10944], [687, 10561], [1150, 5367], [968, 10022], [2026, 8421], [1140, 3898], [2611, 2658], [484, 8697], [7903, 9076], [822, 8692], [6496, 8988], [8170, 9605], [1575, 7209], [4756, 9249], [1791, 5521], [7363, 7792], [1346, 8288], [2220, 4880], [7414, 7757], [3121, 4049], [6789, 7705], [4387, 9567], [4829, 10666], [2112, 7040], [2177, 5183], [3302, 5558], [5480, 8906], [4055, 10491], [2902, 8068], [22, 6922], [1178, 2446], [4727, 9608], [61, 434], [298, 6039], [6593, 11149], [5003, 7971], [4683, 6303], [4008, 6888], [4634, 9794], [1700, 8385], [4965, 8618], [3752, 6144], [1324, 9037], [605, 2934], [1010, 10567], [6423, 8644], [2510, 4403], [1414, 2514], [3427, 9767], [4712, 5139], [104, 8775], [8598, 10940], [1407, 11142], [6699, 10390], [37, 4520], [8899, 11053], [1401, 4157], [1862, 5306], [745, 2540], [2742, 10014], [2386, 7935], [8153, 10674], [3170, 8017], [2979, 9203], [3947, 4676], [76, 6353], [2481, 4008], [3047, 6863], [9580, 11387], [7364, 9467], [8246, 10084], [2726, 7976], [463, 6210], [70, 5757], [4244, 5801], [7545, 7943], [255, 4756], [1664, 2638], [731, 4685], [2226, 3839], [1907, 11441], [653, 8966], [5513, 8557], [1411, 7827], [10652, 10973], [5989, 8486], [7840, 8241], [7499, 7948], [2547, 11020], [503, 2202], [840, 8011], [5344, 9687], [3539, 9553], [361, 4778], [9175, 9365], [842, 11467], [3906, 8034], [1726, 2361], [1178, 4219], [5161, 7701], [5593, 7358], [6393, 7973], [858, 2551], [6991, 9585], [3603, 7444], [5456, 10278], [857, 3080], [1820, 11041], [1256, 2597], [1192, 11472], [571, 8910], [3184, 5016], [4553, 5751], [4678, 4699], [5887, 9683], [4982, 7362], [3492, 6300], [1532, 11513], [4737, 5279], [5203, 6772], [530, 2843], [4571, 9713], [10802, 10866], [207, 6539], [4231, 10022], [1795, 2474], [4222, 8778], [173, 11092], [1207, 5687], [4531, 9533], [8483, 11450], [9293, 9747], [1115, 6098], [4594, 7603], [1669, 7438], [1542, 5411], [8926, 8987], [7329, 11054], [4409, 11233], [856, 919], [7328, 11583], [9826, 10183], [4618, 9128], [922, 2670], [4024, 8389], [5230, 7440], [5171, 10243], [1377, 9666], [7760, 8207], [167, 6709], [8566, 10522], [6885, 7980], [2623, 5083], [9798, 10794], [3338, 11444], [537, 9625], [3775, 8035], [3727, 11027], [1089, 3722], [6808, 8699], [9956, 10599], [8281, 9757], [1492, 1860], [4568, 8610], [2978, 5432], [1866, 10180], [982, 2320], [235, 11165], [333, 1874], [8832, 10799], [2946, 4396], [2532, 8728], [3657, 9103], [14, 27], [7015, 9500], [1153, 9907], [9002, 9116], [2118, 10027], [3645, 7938], [6250, 6435], [5859, 6779], [5921, 7657], [1050, 2989], [9461, 9815], [5316, 8257], [2054, 8672], [3658, 4386], [7544, 7935], [1546, 7707], [6186, 9244], [145, 1018], [1072, 7824], [6366, 7899], [2914, 4053], [1539, 9919], [3994, 11101], [8471, 10954], [6270, 10820], [2724, 8093], [1530, 2636], [3918, 9012], [1306, 2928], [6467, 9829], [2578, 10146], [6000, 11117], [1065, 10386], [3302, 3761], [1244, 5433], [4764, 6939], [2758, 8801], [642, 669], [1760, 4037], [1398, 9283], [2040, 6306], [6675, 7499], [2514, 5408], [4123, 6384], [1452, 9519], [6684, 8716], [1541, 8810], [77, 1799], [3191, 4869], [2069, 8175], [395, 1142], [4094, 7494], [5923, 6524], [8968, 10955], [5642, 6282], [8439, 11365], [8139, 11073], [963, 2538], [1473, 7713], [4424, 6847], [243, 9796], [465, 1507], [4141, 9942], [2460, 8154], [3045, 8807], [1434, 11168], [6061, 8336], [4168, 8355], [2898, 5347], [3940, 8905], [1230, 6450], [1147, 11111], [2167, 7528], [5118, 6662], [7123, 10991], [425, 4710], [3749, 9310], [1784, 11173], [3816, 4116], [3462, 9253], [7641, 9641], [1348, 10993], [2470, 5435], [6288, 6406], [8354, 8759], [1809, 9890], [8161, 9118], [3491, 11122], [1132, 3232], [72, 7416], [158, 9442], [5638, 7987], [3953, 6457], [375, 10608], [6559, 7808], [2928, 8915], [2119, 11220], [6126, 7926], [9149, 9380], [9794, 10084], [4064, 10610], [1237, 6816], [3726, 7582], [4075, 7736], [3354, 7976], [8884, 10802], [78, 6830], [7304, 9066], [7731, 8379], [1041, 6123], [7673, 8374], [2351, 6251], [2685, 5373], [7167, 9734], [658, 6358], [642, 5825], [1846, 10465], [3778, 10374], [4342, 5986], [2683, 5677], [2089, 11354], [2624, 8480], [3730, 3917], [5737, 11325], [7845, 9016], [4161, 6355], [2, 5091], [8933, 10263], [3554, 11016], [5072, 5458], [8396, 10058], [9526, 10777], [8719, 8991], [4564, 6745], [3942, 10374], [4845, 10370], [3749, 4317], [3098, 9460], [59, 8227], [9828, 11492], [1972, 9614], [4771, 10606], [3215, 7012], [1345, 2319], [8380, 11403], [2315, 2783], [7271, 9252], [2056, 11190], [132, 9644], [5448, 7034], [3982, 6366], [6162, 6377], [895, 1709], [4948, 5930], [2893, 11283], [467, 8587], [6845, 9036], [4018, 5242], [6217, 9467], [7347, 7934], [5690, 9950], [1710, 10903], [2949, 5930], [4819, 7213], [430, 3043], [6407, 6558], [1426, 4728], [1732, 1802], [837, 4333], [10205, 10260], [8085, 10300], [5783, 10114], [3904, 6833], [2192, 2726], [762, 8885], [3694, 3805], [4624, 7122], [1945, 6232], [6177, 6254], [3811, 7773], [1352, 9101], [7391, 9330], [8177, 10239], [1453, 9153], [318, 3926], [3721, 4847], [9440, 10578], [1878, 1977], [6547, 8416], [1475, 4970], [2645, 4364], [9038, 10009], [3778, 8764], [2035, 9508], [3095, 5324], [5854, 7671], [3961, 11100], [4022, 8343], [6350, 8252], [3614, 10992], [9612, 11220], [5407, 9611], [6786, 11034], [9513, 10460], [1141, 1310], [1639, 11386], [2860, 11469], [3574, 10812], [1231, 3455], [6838, 8191], [2104, 6238], [1173, 2696], [4930, 9807], [2471, 11135], [1822, 10689], [1447, 5150], [227, 1505], [3838, 4627], [6945, 10690], [3846, 9406], [1132, 9461], [2940, 6860], [3489, 7856], [1782, 4093], [3580, 7220], [498, 2907], [3540, 4411], [4197, 8882], [3388, 10433], [4291, 6265], [4064, 7040], [3955, 6316], [371, 7269], [1203, 10051], [57, 8799], [6492, 9782], [7658, 10158], [1180, 6095], [7183, 7421], [1046, 3651], [3009, 4371], [3045, 11198], [4726, 8822], [2764, 10956], [1336, 6608], [183, 4185], [4665, 5136], [2702, 3662], [1234, 6331], [3152, 3898], [4177, 11239], [763, 10129], [4596, 9880], [2906, 10258], [1497, 10124], [1512, 11156], [5925, 7806], [2152, 5854], [5980, 7513], [1904, 8004], [2404, 6075], [2999, 3252], [5852, 6015], [2152, 9237], [5882, 7355], [2269, 3406], [7748, 8896], [1091, 9786], [1220, 1306], [2092, 7651], [10511, 10985], [3357, 3899], [10206, 10349], [1185, 2251], [555, 8271], [6312, 10322], [3314, 4202], [7928, 10934], [1920, 5854], [1636, 6095], [149, 4550], [2475, 3632], [8879, 9466], [2683, 4335], [3909, 4762], [9638, 11181], [2808, 3283], [8724, 11026], [5554, 11030], [2586, 7785], [5, 7430], [3766, 7867], [11152, 11516], [2558, 5737], [2401, 8005], [2621, 3807], [2589, 4269], [9120, 11376], [1126, 7282], [5358, 7304], [10518, 11351], [3887, 6292], [3830, 5758], [3983, 6754], [9294, 10216], [2117, 8596], [4259, 5117], [3352, 6133], [1136, 7219], [1511, 6342], [965, 9027], [7978, 9492], [8352, 11396], [8190, 11068], [10658, 10957], [6458, 9692], [1105, 5250], [668, 5249], [126, 4700], [1000, 1292], [2345, 3885], [8716, 9579], [5329, 11046], [1993, 2679], [1922, 10383], [4043, 9033], [3802, 10102], [7024, 10261], [2325, 11527], [835, 5547], [6158, 11278], [10671, 10788], [6738, 7423], [4327, 5759], [5246, 5534], [4075, 8167], [610, 7122], [1171, 2463], [6124, 9415], [4560, 7458], [3324, 9696], [6524, 9534], [2068, 4142], [3444, 8300], [2813, 5050], [7114, 7121], [4275, 8228], [789, 5552], [1596, 5086], [2962, 8556], [1203, 4603], [410, 6687], [2815, 4342], [2624, 5528], [3126, 6678], [7109, 9406], [3155, 11580], [7766, 8215], [1469, 8694], [7487, 8800], [6489, 10452], [9557, 10171], [1314, 5373], [263, 3227], [3340, 10579], [726, 1416], [2115, 3557], [3727, 4050], [4850, 7762], [6410, 7311], [342, 11225], [4322, 4610], [1013, 7488], [4469, 7289], [3044, 6622], [2473, 7587], [766, 10240], [4465, 7547], [855, 9531], [5583, 6751], [41, 6574], [3654, 4861], [173, 6693], [1164, 3870], [5209, 8230], [3994, 11345], [797, 2356], [5797, 8400], [6702, 7311], [2130, 9850], [3596, 4102], [6972, 8892], [950, 9768], [4250, 9056], [2617, 3552], [6204, 6280], [4676, 4734], [4516, 7485], [3683, 6730], [3841, 8070], [1036, 8007], [4608, 9703], [5723, 9390], [444, 8095], [5919, 7050], [2428, 4030], [719, 4358], [4571, 10575], [3327, 8788], [3053, 3301], [4018, 5673], [2420, 3388], [5635, 10674], [8209, 9858], [6091, 11479], [1433, 8582], [895, 5523], [1122, 4748], [4046, 11104], [2735, 8095], [5493, 6834], [155, 10594], [1824, 5205], [2106, 8301], [4186, 10360], [5461, 8050], [10452, 10568], [1303, 9640], [7790, 10813], [3839, 10252], [8264, 9915], [2975, 7932], [5115, 10796], [6421, 7045], [3752, 11007], [6484, 11531], [8414, 9859], [358, 11303], [4807, 9108], [2242, 3624], [2028, 8768], [8101, 8581], [5787, 6126], [3617, 7557], [4176, 9241], [4362, 6213], [95, 2972], [35, 2921], [1055, 11416], [1781, 5858], [7780, 9694], [4234, 6967], [2582, 7075], [839, 3655], [335, 5842], [250, 4014], [120, 1689], [7425, 8190], [5534, 6030], [9259, 10974], [2666, 2989], [9145, 9906], [11160, 11570], [5525, 11202], [1540, 11057], [2672, 6187], [2644, 10555], [2820, 6839], [8324, 9942], [5686, 9807], [6574, 10269], [801, 1269], [4925, 9894], [5274, 10802], [2991, 7660], [1232, 10123], [10222, 10240], [5201, 9011], [2586, 3410], [176, 11016], [1169, 9774], [7289, 8679], [4149, 7394], [997, 3840], [1435, 7449], [5474, 7076], [2205, 2937], [811, 7999], [3139, 3744], [5950, 7005], [3264, 9108], [3050, 8590], [309, 9451], [4786, 10058], [5271, 6343], [326, 760], [1366, 9133], [2595, 3472], [1194, 3199], [4805, 4823], [2974, 9884], [1076, 8805], [822, 11140], [5490, 8309], [5299, 10993], [1913, 6269], [6331, 8925], [3963, 9617], [9663, 11134], [2499, 3360], [9658, 10790], [866, 4272], [2004, 9016], [273, 6387], [1215, 7809], [2299, 5931], [4258, 9915], [3848, 5321], [49, 4400], [7280, 11144], [3006, 6732], [6743, 6775], [929, 1938], [4461, 6487], [2456, 6265], [887, 1712], [389, 3687], [13, 10755], [6243, 9054], [9815, 10750], [7795, 8742], [8080, 11355], [8753, 10697], [1184, 5089], [5953, 8726], [474, 6619], [6449, 10061], [8751, 11001], [2304, 8503], [5568, 5882], [898, 1470], [1465, 7179], [7155, 8008], [1401, 9638], [11193, 11197], [5100, 6945], [6631, 8762], [8737, 9790], [10364, 11315], [6128, 7387], [4634, 4671], [2879, 10316], [4102, 5564], [1447, 9232], [4468, 9105], [2226, 8970], [3043, 9192], [2415, 9623], [2136, 10208], [9288, 9297], [7168, 7839], [2003, 4202], [2498, 8345], [6604, 9194], [3090, 5224], [8535, 11130], [8788, 9324], [2220, 8751], [2246, 3556], [1993, 9526], [1112, 5347], [2483, 2745], [2713, 5651], [7224, 11504], [4726, 6488], [7532, 9405], [3924, 5800], [3425, 4167], [376, 2246], [1031, 3638], [1234, 3997], [5652, 6653], [3105, 5882], [6859, 9312], [5687, 9091], [5274, 7232], [2199, 9752], [1853, 2699], [6426, 9430], [1081, 9767], [410, 7118], [7581, 9647], [8690, 11017], [1159, 8145], [1441, 7077], [4237, 9306], [6857, 8835], [4431, 6139], [1067, 8556], [7564, 11171], [389, 5460], [1275, 2843], [4671, 9009], [4304, 7495], [5730, 11016], [8285, 10150], [1556, 8720], [2365, 4163], [8935, 11198], [5110, 9056], [1368, 9423], [2648, 6703], [7524, 10991], [5046, 11515], [6655, 8327], [3570, 5995], [4571, 8778], [834, 5702], [1333, 7335], [3322, 3614], [1481, 3069], [8382, 9709], [2317, 3341], [4377, 8131], [6087, 9159], [323, 10101], [2537, 8942], [944, 2837], [2038, 7309], [3411, 5534], [608, 7052], [10159, 11178], [8450, 11506], [4718, 5391], [224, 10095], [6201, 9446], [3030, 5842], [6977, 9667], [5182, 10221], [11374, 11446], [3838, 4066], [3678, 6817], [4667, 7331], [6601, 7286], [5570, 6546], [2399, 2942], [5317, 6100], [1831, 3424], [5936, 7835], [5000, 10365], [10111, 11487], [3012, 4862], [1487, 2833], [368, 5656], [6027, 11336], [6778, 9026], [6357, 6552], [2659, 6437], [6764, 10848], [1607, 10482], [3130, 5268], [2321, 9825], [1724, 5405], [576, 9742], [9566, 9859], [5992, 11500], [2933, 8137], [7263, 8694], [539, 4198], [4126, 6926], [5736, 10756], [8687, 9890], [7726, 9889], [5355, 11064], [5814, 9134], [5232, 5746], [2527, 3635], [1615, 4307], [4662, 9565], [6511, 9971], [5041, 5397], [4002, 4796], [3913, 11140], [3844, 6839], [4059, 4549], [9322, 9475], [4803, 5232], [3065, 6320], [852, 11087], [4281, 6059], [8904, 9901], [8009, 8268], [1851, 3621], [7979, 10311], [1620, 3496], [6036, 9489], [1024, 6094], [2627, 9477], [5325, 10417], [4482, 6722], [122, 7454], [3865, 11449], [4137, 9693], [938, 10457], [1590, 8168], [563, 4918], [1127, 6946], [318, 10749], [3038, 7506], [3630, 5166], [933, 7080], [3763, 10391], [458, 3589], [1705, 9811], [3102, 8430], [4043, 6244], [1698, 2224], [992, 7660], [7934, 10137], [8613, 9671], [1352, 4970], [9323, 11524], [5992, 6507], [572, 7259], [4307, 10639], [411, 3369], [2780, 6285], [3812, 9879], [1716, 8815], [4116, 11044], [4427, 8462], [4957, 5244], [3025, 3083], [7324, 10743], [7871, 10912], [10087, 10580], [4049, 6035], [928, 8964], [5816, 9849], [3178, 9714], [1268, 11284], [1638, 4401], [299, 5006], [7592, 8464], [1799, 5258], [1833, 10504], [556, 6325], [1609, 8544], [2137, 4499], [3439, 10428], [6111, 10147], [669, 752], [3072, 8914], [2420, 4787], [6860, 11174], [4532, 9013], [10139, 10339], [2223, 7656], [5712, 9849], [5216, 5481], [2031, 10115], [3870, 9833], [2163, 6070], [1853, 5090], [1277, 11346], [1024, 4484], [2773, 7692], [4891, 10235], [3945, 7913], [3867, 6502], [784, 4997], [5939, 7946], [2029, 10392], [1766, 5094], [1991, 7656], [1562, 10926], [7813, 10102], [55, 8005], [1460, 4233], [300, 1393], [5336, 6313], [6619, 8028], [819, 9313], [3868, 8982], [4991, 8530], [1536, 11583], [2248, 7847], [99, 3739], [6234, 10846], [2810, 9048], [494, 4268], [564, 5007], [696, 11542], [5292, 6391], [1842, 6378], [6630, 7813], [9931, 10709], [251, 10145], [1736, 8611], [5638, 6247], [5848, 7777], [2579, 3638], [965, 2318], [9144, 10329], [2800, 8710], [2743, 8176], [3163, 6318], [3192, 5558], [1075, 10033], [491, 3566], [4524, 6411], [4224, 6119], [2254, 10644], [1108, 9392], [5679, 8880], [142, 9047], [3031, 7303], [954, 8925], [4430, 5995], [5368, 7675], [289, 9474], [796, 10968], [1560, 9674], [5307, 10405], [6330, 10503], [7078, 7922], [2926, 2941], [7812, 7917], [5298, 9538], [95, 2411], [4356, 7335], [6228, 6439], [1249, 11071], [5726, 10924], [2509, 6975], [2460, 11220], [1056, 11430], [3671, 10615], [7964, 11290], [3467, 10061], [4463, 7582], [224, 727], [3840, 8357], [1541, 7688], [4034, 5190], [820, 11338], [1386, 10029], [2217, 3541], [4462, 8111], [229, 10870], [662, 6965], [2783, 9779], [1350, 5087], [3686, 11273], [1100, 10574], [7507, 9509], [7629, 11192], [690, 5980], [1120, 5564], [3642, 4558], [963, 7832], [8194, 9658], [813, 10517], [7723, 8575], [9089, 11291], [1709, 2926], [3274, 9235], [2806, 7669], [5127, 6407], [4750, 9867], [1546, 11041], [3134, 6222], [6905, 11511], [2447, 5292], [6440, 9462], [1643, 7941], [1571, 5621], [6956, 8066], [5526, 7055], [6210, 9939], [6709, 11572], [577, 1730], [1542, 4102], [583, 11344], [5462, 8733], [950, 9825], [1005, 9532], [1375, 1895], [5172, 9159], [3090, 6273], [4301, 5668], [3389, 6340], [10993, 11380], [1652, 10282], [6162, 6865], [1282, 5087], [1925, 5718], [7623, 9818], [6446, 9253], [3607, 4698], [2764, 3255], [2519, 6834], [2918, 7105], [7630, 10208], [4223, 10299], [3036, 4882], [8400, 9860], [14, 4784], [5273, 8056], [1075, 1202], [4428, 9950], [1881, 2763], [1137, 5463], [2852, 9087], [5648, 11316], [2246, 6833], [5050, 6671], [6796, 9608], [5053, 6188], [373, 5252], [1744, 9066], [2152, 4919], [814, 9132], [4761, 5787], [5727, 9515], [1238, 1731], [3737, 9601], [0, 3142], [2020, 5150], [337, 5945], [261, 473], [7929, 10224], [5121, 10644], [6236, 10331], [7516, 7611], [7086, 8781], [184, 9086], [1331, 10940], [5558, 10618], [7490, 9773], [1671, 6844], [6578, 10445], [3596, 5582], [10430, 11000], [2589, 9400], [3709, 7179], [6854, 9562], [5238, 11579], [3521, 3718], [1621, 10140], [504, 10380], [4619, 9063], [5221, 6687], [7564, 8382], [1091, 4663], [5504, 9227], [466, 11027], [4728, 6754], [1393, 4247], [308, 6654], [3381, 6717], [736, 3159], [3382, 3909], [121, 10211], [2783, 2826], [537, 5201], [5963, 7647], [8105, 10584], [1042, 10032], [139, 2122], [2004, 2307], [261, 3051], [5482, 10003], [1442, 10905], [3617, 5654], [5891, 8710], [654, 2753], [4867, 9141], [5610, 6970], [1995, 7856], [4295, 5717], [1616, 4827], [788, 9334], [28, 3230], [410, 3524], [714, 6187], [9843, 9846], [5077, 9136], [68, 10176], [9402, 10103], [1623, 9381], [4414, 7102], [334, 10103], [2109, 11526], [2699, 6107], [8203, 9964], [2298, 5763], [7993, 9188], [5647, 11359], [7374, 10082], [2378, 7220], [3253, 6666], [1766, 5875], [1009, 9868], [1408, 7133], [2383, 10947], [1977, 10259], [3157, 10341], [39, 9781], [7795, 8799], [1224, 10961], [7850, 8506], [2497, 4818], [1709, 8000], [1755, 8345], [6519, 7474], [4306, 5825], [104, 7897], [4056, 9060], [2717, 10419], [1783, 3196], [1067, 7190], [1564, 7996], [3174, 7662], [1555, 3746], [2365, 2797], [4390, 5149], [1623, 8576], [7008, 11021], [1857, 4084], [1179, 5152], [4076, 9685], [7591, 10847], [2801, 6333], [7904, 9092], [578, 9658], [361, 11121], [6715, 7012], [7935, 10657], [4533, 11092], [7158, 10965], [10546, 10854], [1759, 11096], [1361, 10269], [2378, 6415], [299, 7210], [4652, 5307], [8571, 11248], [4190, 11103], [3725, 9054], [4778, 7109], [754, 1374], [4556, 8982], [1287, 8253], [941, 1200], [1961, 4033], [3275, 11477], [2898, 11527], [9195, 10294], [4176, 5728], [3620, 7725], [2221, 9033], [2405, 4424], [9182, 9308], [99, 6748], [6788, 8779], [5606, 7870], [9363, 10817], [2401, 11071], [710, 1425], [2131, 2350], [122, 8048], [893, 3761], [1323, 9761], [4186, 6042], [736, 10193], [11449, 11543], [420, 10896], [3565, 6863], [731, 9068], [5435, 5894], [11118, 11214], [1362, 5902], [5400, 9091], [3459, 9096], [3185, 4363], [4864, 6078], [9292, 9422], [6293, 6864], [6697, 10889], [4209, 7315], [508, 6929], [8849, 8852], [900, 3777], [65, 6359], [4382, 8963], [10493, 11512], [2921, 8639], [5178, 10560], [8124, 9350], [3955, 9650], [8929, 10309], [3077, 9152], [2368, 4491], [7185, 10828], [3303, 8152], [6448, 10535], [3164, 5364], [1362, 11163], [744, 10030], [925, 1740], [9859, 10593], [5437, 10447], [3164, 8747], [3410, 5770], [1140, 9249], [3072, 9158], [5185, 7193], [1195, 6704], [7609, 9816], [6210, 10370], [8199, 10813], [9658, 10310], [1977, 10877], [5430, 11161], [4714, 10991], [1319, 8433], [1324, 8777], [127, 420], [2526, 10338], [1812, 5333], [7574, 7728], [2773, 10969], [4588, 9539], [5111, 11566], [2685, 8870], [4392, 5463], [2801, 9984], [1524, 5051], [4846, 6572], [3133, 9410], [3081, 9220], [3640, 10904], [4941, 6809], [3999, 4606], [555, 5539], [1042, 5657], [9634, 10609], [7428, 10131], [6802, 10608], [7079, 9196], [5768, 9597], [419, 3399], [8469, 10808], [7657, 8678], [4424, 10612], [7070, 11362], [8732, 9690], [3771, 8512], [122, 1900], [1164, 6936], [5887, 10228], [4736, 5222], [9476, 10373], [2936, 5432], [4106, 8990], [7600, 11527], [6165, 10172], [3894, 4381], [2020, 8614], [2873, 10745], [9580, 9972], [996, 8291], [1462, 9784], [2211, 5176], [7186, 9443], [461, 2470], [6715, 6825], [5056, 6516], [4852, 5932], [955, 8640], [296, 3342], [4910, 10074], [4895, 9042], [6088, 7077], [8357, 9789], [1810, 10093], [9253, 10866], [5557, 10824], [163, 7135], [3896, 9688], [2924, 3139], [5009, 6296], [5019, 6984], [7531, 9454], [4549, 8755], [1522, 4149], [2862, 5644], [1618, 3857], [7758, 11308], [716, 5217], [4260, 7871], [2270, 11367], [6998, 9341], [5974, 9018], [2235, 6650], [7737, 9680], [2456, 7558], [2597, 6285], [2256, 10156], [6868, 10399], [6116, 8320], [9256, 10359], [3368, 9545], [1014, 8415], [4608, 7426], [7326, 8244], [5366, 7041], [6448, 9998], [4705, 10742], [6195, 10306], [63, 2716], [9023, 10538], [5814, 10614], [9179, 10297], [2431, 4653], [7059, 8839], [4612, 5266], [4176, 8119], [1179, 6388], [7565, 10862], [5574, 7340], [1761, 8241], [1854, 5022], [6336, 9383], [4252, 9834], [637, 11474], [114, 3031], [707, 3545], [2477, 7630], [7422, 7551], [2876, 11311], [7306, 9820], [4472, 11271], [10540, 10740], [1758, 11326], [6178, 8393], [944, 9123], [3466, 11527], [2315, 9931], [3153, 6866], [128, 9503], [3211, 4592], [5733, 6996], [5327, 6308], [4619, 10917], [4834, 6375], [187, 3667], [2275, 3335], [1316, 4915], [3420, 11532], [3630, 6646], [10706, 11567], [247, 685], [30, 7066], [524, 3437], [1022, 7097], [714, 2780], [4919, 5143], [4002, 5471], [951, 8385], [1331, 8606], [23, 2862], [1361, 10700], [8491, 10222], [3658, 4126], [4007, 9198], [5404, 7817], [3074, 11245], [956, 6450], [4381, 11102], [5305, 11221], [3130, 5138], [14, 1995], [1436, 8026], [1472, 7683], [4705, 5749], [8688, 9231], [3593, 10497], [2846, 9516], [4632, 4712], [3869, 8860], [5266, 7479], [371, 5423], [8772, 11561], [4293, 10127], [6292, 11258], [2118, 2546], [4578, 11242], [443, 10372], [5106, 7197], [2520, 6498], [2430, 9988], [3289, 5548], [1927, 9367], [280, 5655], [8919, 11207], [3566, 7519], [1577, 4824], [4866, 9615], [2701, 11390], [3339, 5261], [5677, 5858], [4180, 5877], [3865, 10969], [513, 11491], [4434, 6925], [2340, 6688], [8009, 8138], [9344, 10043], [1937, 5517], [6880, 11027], [1283, 4727], [283, 4798], [1434, 4142], [7421, 11351], [5363, 10771], [11020, 11460], [8124, 9781], [3574, 10389], [1554, 1965], [6786, 7578], [9649, 11029], [4066, 4435], [11362, 11574], [1266, 8880], [5730, 8471], [3380, 4107], [978, 5969], [427, 1894], [1041, 3285], [3410, 6201], [1202, 4142], [5677, 8086], [3321, 10293], [365, 10815], [8603, 11105], [921, 2402], [971, 1765], [2595, 3773], [568, 594], [6894, 11433], [2730, 9825], [69, 3125], [225, 3638], [8729, 10655], [2196, 2721], [5577, 7855], [198, 9362], [8914, 9654], [7794, 10377], [7632, 11547], [10252, 11076], [6300, 7661], [5183, 7147], [4019, 10981], [4022, 4082], [1396, 3984], [7280, 8062], [988, 2469], [1459, 8470], [2390, 5596], [1529, 9963], [2238, 8208], [3205, 4991], [8456, 10654], [8678, 9535], [963, 4856], [2487, 8912], [9073, 10064], [678, 4872], [419, 6863], [4376, 11376], [3034, 6048], [5714, 9792], [1698, 11088], [7601, 8046], [4798, 9564], [969, 3516], [194, 11067], [9411, 9655], [810, 9121], [2059, 4836], [3702, 11058], [4571, 7306], [4424, 8010], [8785, 10132], [4894, 9622], [3798, 7733], [3017, 7922], [5596, 7450], [5816, 8914], [2272, 2850], [6724, 11506], [1493, 6495], [433, 7269], [8239, 11312], [586, 7511], [7019, 7667], [5938, 7564], [3598, 10304], [246, 10826], [1762, 10857], [3161, 10303], [3100, 10027], [786, 7572], [4471, 7425], [8382, 8587], [5090, 9160], [1291, 1823], [3058, 3385], [1132, 7428], [2355, 8338], [3969, 9658], [2384, 6824], [3771, 4755], [9008, 10712], [4273, 10069], [1589, 8835], [4868, 7246], [2934, 11428], [4173, 6455], [2471, 3036], [10908, 11083], [3522, 5182], [2457, 4858], [1650, 6078], [3437, 9016], [409, 1556], [6823, 8078], [8836, 8915], [6857, 6908], [6650, 9089], [2887, 7825], [1434, 11526], [1584, 8841], [2301, 6947], [959, 8789], [5909, 11306], [2420, 2697], [1356, 5227], [2261, 8302], [6901, 9839], [2976, 9745], [2606, 4550], [5687, 9392], [3073, 6645], [5621, 11024], [1256, 11412], [115, 11258], [3907, 4592], [7451, 10656], [4032, 9202], [5703, 6892], [3184, 7415], [4878, 10162], [3208, 5557], [6024, 9162], [4405, 8252], [9097, 9979], [6915, 9141], [5578, 11327], [1436, 7034], [2310, 3626], [2442, 10161], [2458, 4278], [2777, 5721], [6, 2990], [3330, 7590], [2612, 11511], [1200, 1280], [10055, 11530], [559, 7111], [2644, 3098], [6345, 7648], [646, 9739], [6933, 7818], [5720, 7596], [1088, 3668], [9226, 10924], [5284, 8197], [3190, 10212], [2853, 5157], [392, 11320], [53, 5438], [1331, 6809], [1195, 6948], [5772, 8136], [1169, 5700], [1883, 4289], [3149, 3391], [5142, 11123], [151, 8605], [1408, 8345], [252, 2241], [3046, 10059], [6853, 10841], [525, 10509], [2574, 4587], [4483, 9208], [407, 3283], [1145, 6430], [5076, 9722], [5320, 5918], [2302, 9726], [5323, 9599], [1457, 7456], [3795, 8053], [4653, 9804], [728, 4048], [1786, 3201], [2699, 3131], [6869, 8691], [1816, 5295], [6368, 11149], [7942, 8152], [3341, 6543], [4578, 4907], [3960, 6026], [4077, 6611], [4615, 9670], [2494, 5358], [7571, 9148], [821, 1179], [5361, 11180], [2005, 7796], [4543, 11487], [3734, 8874], [4073, 6842], [6760, 7593], [3577, 8890], [7102, 10740], [127, 6625], [7527, 9980], [4941, 9281], [3829, 9865], [4882, 7920], [1582, 8632], [4445, 5667], [656, 5434], [3395, 6375], [1241, 6087], [8708, 11418], [9427, 10351], [2638, 4706], [1576, 1647], [2327, 9917], [457, 5224], [3846, 10219], [1977, 6128], [4587, 4969], [3160, 9891], [2348, 7761], [5586, 6171], [7676, 9672], [1389, 2171], [2682, 10266], [6629, 7675], [780, 6035], [630, 9474], [2684, 10312], [1960, 3865], [4482, 7023], [3215, 3532], [2150, 3962], [690, 10656], [5198, 6412], [1345, 8638], [703, 4475], [5025, 7423], [3395, 5570], [5317, 11207], [9797, 10577], [5747, 10037], [2416, 5020], [5571, 8091], [9148, 10131], [2478, 5898], [3468, 10020], [6156, 7963], [270, 7976], [4241, 9943], [634, 2776], [4155, 7136], [812, 11184], [5803, 7286], [2220, 11093], [1590, 10697], [8031, 9216], [1025, 9198], [2952, 3845], [2833, 6597], [4352, 6145], [5195, 7588], [9897, 10757], [8030, 8991], [2584, 9276], [2701, 3445], [1768, 3240], [3237, 4179], [9794, 10255], [3846, 5226], [356, 9224], [5430, 7835], [6799, 10822], [3170, 5586], [2718, 4553], [8770, 9905], [1912, 5621], [2598, 9332], [4618, 11340], [2813, 11206], [3837, 4359], [2930, 5375], [5524, 10099], [3581, 10031], [2774, 8245], [9281, 10794], [5143, 10407], [163, 5769], [5910, 6378], [5734, 10848], [8447, 10568], [873, 1206], [6345, 9689], [6845, 10012], [965, 6807], [545, 7941], [1085, 5411], [1890, 10534], [4293, 5110], [675, 817], [793, 11426], [584, 11252], [3225, 9406], [6960, 7868], [5859, 8641], [3130, 5382], [3348, 6773], [3346, 10864], [2532, 7907], [1009, 6705], [1840, 6633], [7791, 11179], [976, 4313], [8317, 10471], [1247, 2332], [4947, 9663], [2684, 7897], [4948, 6101], [5132, 8662], [5825, 6374], [6308, 9002], [1196, 1993], [4559, 5767], [7031, 8808], [168, 4934], [3942, 9740], [3009, 9535], [3121, 4114], [3315, 7363], [7831, 10554], [7382, 9038], [1692, 5957], [16, 4513], [410, 7850], [10279, 11319], [5764, 8730], [7016, 10378], [5294, 5583], [2341, 9786], [4643, 10726], [591, 9359], [756, 1290], [4641, 7647], [5038, 11255], [3147, 5685], [4210, 4428], [9869, 10108], [5579, 11579], [1744, 8749], [7747, 10075], [4977, 6815], [692, 7132], [1246, 8472], [2586, 10721], [344, 9832], [6839, 10866], [239, 5874], [1025, 6783], [4920, 9664], [7277, 8059], [1332, 6711], [3999, 6086], [81, 7917], [2116, 10957], [45, 1844], [5316, 6631], [1770, 3904], [2112, 7805], [5393, 8571], [4534, 6595], [2199, 9679], [5150, 8813], [1347, 11156], [8317, 8511], [5118, 10029], [7179, 7874], [5698, 6174], [2468, 7625], [1791, 11547], [1289, 3981], [189, 5356], [9708, 10698], [6609, 8660], [3985, 5225], [3582, 4054], [9554, 10231], [8129, 9564], [2086, 5429], [5141, 11302], [4071, 4218], [1431, 6666], [6472, 8547], [6902, 8131], [4823, 8926], [8491, 11084], [1643, 8242], [1362, 1584], [2408, 9802], [4779, 6375], [4844, 6770], [419, 691], [4493, 5789], [97, 4612], [2777, 4192], [6796, 7331], [910, 3180], [2348, 5964], [1658, 7769], [5711, 9738], [4267, 6385], [1368, 8195], [3116, 5543], [406, 2334], [4077, 10425], [5789, 8116], [5260, 8526], [10017, 10648], [5595, 10502], [4315, 6806], [3009, 3387], [7991, 8825], [3601, 10846], [3699, 7971], [5872, 6057], [1575, 4859], [2452, 9296], [3035, 11374], [58, 11019], [3790, 10718], [521, 6579], [6185, 7685], [2689, 4321], [8017, 10396], [10314, 10992], [890, 1723], [2156, 11405], [3498, 10317], [8540, 9390], [8698, 9976], [6272, 7280], [1695, 10229], [9838, 11413], [7534, 9646], [6128, 6777], [5570, 8701], [1392, 8915], [7899, 11464], [6202, 8389], [1894, 10065], [2386, 9773], [3351, 6483], [1124, 7380], [8328, 10823], [5563, 7880], [1478, 10537], [2450, 7664], [4121, 5354], [1416, 3243], [361, 7771], [1913, 4049], [6574, 10627], [6078, 6259], [6824, 10021], [6662, 9693], [4648, 10883], [8375, 10238], [1345, 1498], [73, 8243], [63, 3391], [1814, 10836], [1815, 7274], [817, 8926], [1128, 6344], [6032, 6264], [3831, 5376], [1281, 7340], [1050, 10625], [1894, 9260], [4196, 10200], [1398, 11308], [2740, 3804], [2661, 10893], [4789, 10714], [4784, 10370], [7552, 9797], [1518, 3496], [6089, 9400], [2173, 4888], [3883, 8168], [180, 1293], [137, 4629], [1909, 2371], [5711, 6973], [8911, 9063], [2727, 5447], [2567, 8198], [2947, 7665], [5857, 6798], [2438, 5344], [2247, 2366], [1660, 2798], [1482, 10605], [4395, 7003], [4, 8422], [3219, 9292], [8472, 9366], [7083, 10608], [8131, 9073], [3427, 3579], [3991, 5607], [7726, 11239], [319, 4461], [8749, 11337], [6261, 11173], [6440, 9226], [282, 10995], [2773, 8424], [2916, 7978], [785, 8583], [675, 10697], [1893, 11263], [9618, 10968], [6784, 10167], [1395, 6822], [5656, 9494], [3492, 6983], [4847, 10264], [8228, 8982], [3615, 5104], [6364, 7487], [7415, 9633], [1007, 6309], [5539, 10787], [9341, 11225], [8930, 9439], [3806, 5803], [284, 3470], [683, 735], [2708, 3087], [1499, 10154], [1148, 2757], [2278, 7640], [1177, 7659], [5189, 9627], [6906, 7662], [3081, 5520], [4812, 7425], [4409, 5500], [7342, 10444], [9665, 10009], [5317, 5840], [7428, 9464], [1607, 9872], [862, 9718], [10273, 11555], [7584, 9977], [4819, 7815], [1509, 7085], [9351, 11539], [5591, 9792], [150, 10421], [618, 6325], [802, 8886], [8577, 11364], [4747, 8878], [1786, 2640], [1168, 3759], [696, 11119], [913, 2486], [5680, 6050], [4173, 9545], [6141, 11363], [6136, 11019], [2474, 9807], [2555, 5073], [77, 5597], [1190, 10873], [1157, 2065], [417, 2255], [6315, 9449], [1459, 6567], [7401, 7617], [3118, 3843], [3677, 5527], [246, 3312], [6655, 9490], [4609, 6261], [5104, 10404], [2609, 11321], [4765, 6774], [1461, 3580], [7121, 11360], [294, 2979], [2191, 6085], [983, 3955], [7077, 11061], [8634, 11093], [3780, 9038], [4029, 5578], [2403, 7661], [409, 458], [4400, 7965], [5091, 11266], [229, 5186], [2429, 5095], [684, 5766], [1587, 7260], [2903, 4951], [5472, 7201], [4919, 9469], [7073, 7505], [1092, 4248], [5825, 8228], [2017, 10227], [4166, 7919], [365, 3919], [900, 1045], [5401, 5456], [125, 4432], [3628, 10495], [4071, 8032], [5812, 10625], [731, 5181], [2723, 11557], [1068, 1568], [2316, 4228], [3149, 3448], [1316, 8436], [6070, 11041], [5077, 5867], [1613, 5424], [4388, 9028], [7003, 8213], [336, 1245], [4919, 8664], [3292, 10522], [5317, 6458], [1898, 5004], [6404, 10513], [6099, 9877], [4346, 5769], [7716, 10714], [449, 2061], [8156, 10232], [3540, 7591], [9541, 11500], [4992, 10081], [2287, 7970], [3994, 4563], [2696, 5923], [1266, 4912], [2103, 8792], [1759, 8982], [1602, 10496], [5738, 10810], [4120, 9748], [6790, 9394], [262, 5968], [1569, 11487], [2583, 4706], [2526, 3418], [4613, 7402], [1029, 1185], [1529, 8678], [3246, 10123], [5235, 6402], [5240, 6746], [2334, 6631], [3110, 6852], [5823, 6572], [3427, 5970], [2541, 7863], [7193, 10915], [1923, 2566], [403, 5045], [1552, 9978], [5341, 6047], [898, 5024], [1428, 1806], [3293, 6155], [5032, 7921], [5433, 9019], [7761, 8928], [5128, 8383], [646, 8186], [2191, 6703], [5310, 7865], [582, 4229], [3324, 11103], [1257, 9279], [3246, 8968], [4808, 10098], [2475, 3429], [8946, 10485], [6368, 10401], [3625, 11216], [764, 2930], [227, 2725], [8688, 8914], [2812, 9615], [7101, 10171], [1929, 4609], [158, 10475], [4538, 10395], [7256, 10459], [2327, 2403], [1924, 7648], [3727, 5457], [4654, 5093], [9266, 10998], [465, 11534], [5883, 9955], [8894, 9140], [4226, 5555], [2116, 11201], [2161, 3804], [5901, 9780], [643, 9362], [8640, 11475], [3788, 5329], [2917, 6756], [4035, 10124], [9126, 11368], [5184, 8641], [7209, 10993], [9155, 9854], [8576, 10901], [2053, 2931], [4205, 6556], [1402, 8074], [4431, 6310], [1284, 7264], [5452, 9745], [2955, 8337], [3325, 7116], [8087, 9582], [2956, 4775], [6249, 7056], [5753, 9858], [1295, 10055], [5096, 5387], [8029, 9577], [1109, 4415], [7184, 11471], [9515, 10897], [4945, 10853], [3446, 5541], [9755, 10357], [1756, 5165], [39, 714], [1857, 5971], [4059, 9713], [4652, 10227], [225, 9737], [3993, 9093], [1315, 11057], [702, 6104], [1065, 4466], [127, 10333], [9622, 10363], [5233, 6193], [3648, 8277], [5004, 11059], [4665, 7429], [1862, 8193], [1800, 7315], [181, 3399], [6070, 7821], [4010, 6414], [10584, 10939], [3766, 9437], [8453, 10820], [5368, 8488], [3143, 10212], [9805, 10420], [1830, 10540], [1078, 10713], [3452, 10967], [9976, 11241], [1170, 11433], [979, 7701], [6469, 7688], [599, 1818], [3754, 4889], [724, 766], [2470, 3703], [3846, 7861], [3559, 8585], [3942, 7569], [3121, 8359], [5082, 9006], [4887, 5532], [10067, 10955], [217, 8290], [6949, 6985], [7835, 10784], [1035, 4950], [5906, 8140], [118, 5278], [2728, 4119], [8863, 11226], [4479, 7400], [5098, 9135], [337, 9523], [8654, 11052], [433, 9985], [1276, 5012], [3547, 10803], [2552, 11218], [5190, 5691], [2542, 4114], [7772, 8900], [3343, 5331], [2006, 7517], [2298, 11301], [6279, 7540], [7363, 7914], [4897, 11481], [2373, 5998], [4155, 10844], [1349, 2265], [6364, 9341], [3806, 4274], [165, 4693], [483, 3282], [2716, 6337], [1778, 8040], [157, 3297], [5650, 6965], [4580, 7051], [6445, 11400], [535, 2691], [2838, 10649], [4185, 9905], [3024, 3457], [3870, 8581], [5417, 7925], [4111, 5260], [8658, 10016], [1675, 6757], [8213, 9373], [2387, 3021], [2731, 2831], [6996, 9409], [2734, 6512], [9678, 9816], [957, 8426], [5595, 9136], [1139, 3744], [3324, 3345], [4034, 5198], [7626, 9024], [3632, 11045], [3317, 9721], [6094, 7736], [927, 2518], [1828, 8103], [3913, 10506], [1298, 4905], [577, 9309], [5341, 8438], [2655, 10541], [3153, 7785], [8285, 9784], [1232, 9920], [1411, 5721], [75, 10761], [2522, 7918], [8411, 11586], [4387, 5851], [560, 2882], [6907, 8182], [288, 5392], [7557, 9984], [8620, 8727], [7876, 11427], [2109, 2272], [1023, 8241], [4046, 8941], [9894, 10356], [9405, 10165], [1561, 9048], [85, 1276], [5778, 7284], [433, 8375], [6842, 8137], [211, 3078], [7862, 10216], [88, 10592], [300, 2369], [9109, 10022], [3226, 9552], [1132, 5151], [1419, 8591], [7458, 9574], [4929, 9409], [6372, 8373], [701, 6096], [2559, 2858], [1696, 10562], [4218, 7304], [9311, 9375], [3099, 10127], [2399, 8992], [4363, 6904], [7289, 7671], [3827, 10307], [7634, 11089], [5542, 7515], [1053, 6147], [9616, 10361], [2147, 4203], [1248, 9998], [4567, 7084], [2175, 9634], [5059, 7546], [8553, 10083], [10253, 10423], [3795, 7736], [274, 6759], [3908, 5169], [3280, 5600], [2812, 9696], [757, 9387], [5154, 11166], [1257, 3294], [4829, 4990], [5515, 7947], [3552, 7227], [881, 10362], [4119, 6520], [5736, 7357], [2126, 2925], [5584, 9969], [2401, 11266], [787, 7694], [2217, 8705], [6330, 11479], [2271, 8941], [963, 9613], [5820, 8933], [526, 2442], [1866, 11107], [1783, 9352], [5174, 8004], [3667, 7335], [587, 3849], [5473, 8825], [839, 10486], [2546, 7833], [8714, 10916], [985, 10311], [3602, 10323], [583, 9742], [10471, 11009], [8795, 8811], [1534, 1858], [3743, 6017], [2660, 11503], [4989, 7850], [1596, 6119], [4519, 5457], [3285, 8522], [7423, 8909], [5794, 6557], [6920, 10540], [36, 11451], [7228, 8441], [719, 9229], [5581, 8893], [6720, 6722], [1661, 3481], [1088, 10035], [5329, 7891], [4200, 10026], [8150, 11116], [8626, 11045], [7320, 7626], [4163, 10898], [806, 3906], [5441, 11515], [8928, 10629], [7842, 10182], [1335, 7633], [6651, 11439], [887, 5965], [4978, 7260], [5004, 6229], [704, 7012], [20, 9763], [3900, 5950], [290, 11344], [5498, 5983], [9999, 11148], [1504, 4594], [4298, 10160], [6858, 8884], [1753, 5298], [1603, 8737], [2659, 11227], [1250, 11093], [2960, 7957], [1969, 3610], [2841, 3539], [848, 6360], [5860, 7503], [6661, 10972], [587, 5272], [9270, 10342], [7131, 11086], [10082, 10220], [1985, 4493], [5653, 8903], [4562, 7358], [2850, 3251], [8147, 10013], [743, 9168], [2362, 10078], [798, 2459], [2661, 10145], [4877, 5649], [1301, 10627], [2514, 6685], [1050, 6844], [1552, 7994], [2414, 3071], [5471, 9771], [5810, 6985], [3877, 7605], [1630, 6372], [7488, 10727], [1007, 2983], [146, 11514], [43, 1213], [3618, 8842], [605, 8830], [903, 6043], [220, 2603], [2623, 3595], [5104, 10916], [3025, 5295], [876, 1187], [3928, 6789], [587, 1084], [159, 7962], [2949, 9622], [2274, 10207], [3576, 9720], [771, 9657], [9706, 10067], [2488, 7692], [155, 1023], [5626, 6652], [4411, 9767], [2169, 9632], [1722, 1773], [3275, 5069], [704, 8785], [596, 1146], [2376, 9329], [2371, 8985], [631, 9246], [8157, 9522], [9774, 10359], [1253, 9000], [2689, 10957], [5848, 10794], [8960, 10785], [5155, 9295], [2046, 3159], [4311, 8381], [8649, 9553], [5999, 11313], [2818, 2857], [3573, 7863], [10228, 11064], [9786, 10719], [2879, 9926], [1103, 11284], [1791, 8652], [1964, 10300], [2404, 10572], [420, 8221], [1567, 10829], [1999, 6322], [9555, 10190], [7416, 10934], [2999, 11132], [525, 5012], [2269, 4870], [2981, 3386], [162, 10033], [7686, 9482], [4040, 9557], [4948, 11395], [2424, 5158], [7548, 9548], [3482, 4311], [10240, 10643], [2174, 11399], [3227, 9454], [25, 7291], [3664, 10209], [3129, 6667], [706, 9904], [990, 3247], [3188, 3864], [352, 2990], [8620, 9508], [1041, 9628], [84, 701], [8666, 9883], [54, 9160], [8533, 10293], [2848, 3392], [4436, 9907], [1881, 4357], [4682, 6930], [5583, 7597], [2539, 6020], [15, 6199], [7289, 11135], [997, 6296], [4362, 10897], [871, 7877], [6509, 7762], [8317, 11577], [2211, 2956], [282, 7482], [1500, 8048], [4082, 11257], [7592, 7911], [2327, 4070], [2275, 3880], [1021, 1405], [3825, 9911], [7534, 7906], [7465, 10021], [3798, 8465], [1200, 7005], [3388, 3871], [3727, 4091], [3917, 9850], [1675, 8961], [4039, 8527], [525, 10973], [6053, 6556], [4072, 10138], [3594, 7130], [4432, 8229], [1357, 7339], [3754, 5133], [2260, 6581], [111, 2473], [329, 10280], [1193, 6184], [8512, 8611], [4840, 8963], [3555, 11339], [255, 7887], [1375, 4912], [1849, 4768], [9464, 9997], [6317, 6787], [1867, 4593], [716, 2997], [4205, 5190], [2921, 10420], [6376, 7367], [1219, 7755], [9832, 11332], [2834, 4759], [3849, 7248], [4480, 10498], [1681, 3090], [8998, 11106], [5937, 7670], [4347, 4492], [23, 5635], [5072, 11541], [5000, 9975], [8269, 9950], [2018, 9276], [1861, 11544], [6453, 8903], [7106, 10222], [1381, 11092], [442, 3525], [6398, 8415], [10035, 11260], [3432, 5216], [1011, 2864], [8352, 9022], [5632, 5879], [2357, 7587], [1484, 8187], [2980, 10195], [6619, 9703], [549, 739], [2830, 7218], [2272, 8388], [5405, 7004], [5690, 9617], [3314, 6284], [1294, 4276], [8138, 10382], [46, 11415], [166, 10019], [6494, 11105], [4781, 7527], [5237, 7578], [36, 1278], [2097, 5539], [2501, 3902], [479, 5231], [4612, 5274], [3560, 10073], [2841, 3970], [845, 7274], [2154, 3040], [1412, 8819], [4247, 10222], [3896, 9241], [250, 2900], [6046, 10541], [7885, 9505], [7880, 9161], [4950, 8652], [621, 10949], [6624, 10023], [6875, 7390], [5412, 6239], [5134, 8180], [2145, 6310], [923, 1838], [2442, 5550], [1987, 8353], [8482, 9387], [7448, 9130], [6778, 10059], [3154, 5197], [6142, 9094], [8485, 10035], [2623, 10442], [7363, 9931], [10747, 11576], [2394, 8892], [4836, 9812], [2744, 5484], [2095, 5038], [1560, 8666], [4147, 5803], [4398, 9586], [8247, 9870], [5919, 7709], [1220, 4811], [2433, 5033], [4100, 5233], [1958, 5679], [4284, 4761], [6214, 10259], [6152, 6375], [1205, 4129], [4131, 11312], [1423, 5520], [7367, 8895], [3098, 9745], [2945, 6497], [7389, 11128], [3101, 7010], [1687, 2368], [9785, 10949], [3653, 7523], [4280, 7621], [6138, 10799], [8349, 10123], [1320, 10653], [847, 2327], [2741, 11578], [6566, 7304], [664, 2620], [4241, 5414], [9122, 9292], [7498, 8038], [5579, 6082], [2270, 2544], [6466, 7073], [213, 1408], [992, 5310], [1306, 6409], [3417, 8535], [2316, 8554], [1447, 5890], [798, 7696], [1670, 7625], [1171, 3740], [3156, 8945], [4164, 8735], [300, 1003], [6354, 8710], [8260, 8896], [5705, 10516], [1037, 4679], [2279, 5639], [6606, 8931], [562, 10987], [1840, 5942], [5169, 10132], [7479, 9435], [5222, 7514], [5299, 9424], [3520, 4095], [1770, 10084], [4237, 7119], [1186, 10787], [10272, 10612], [2108, 10079], [1490, 11198], [4907, 5409], [149, 9478], [92, 8944], [2609, 11004], [5628, 8552], [1287, 7082], [2751, 6923], [2417, 7801], [6175, 8721], [2915, 5799], [377, 7800], [2374, 8104], [822, 2000], [1966, 6589], [185, 4597], [7748, 9636], [7316, 9979], [4181, 6032], [5332, 7628], [7792, 9908], [6885, 10924], [1773, 3915], [5544, 9204], [9064, 10710], [5203, 8911], [3978, 10584], [1337, 3762], [8661, 9539], [3957, 10461], [380, 1251], [2558, 11015], [3828, 7607], [8408, 9093], [2026, 6990], [364, 7164], [6530, 9420], [3911, 6329], [9024, 10530], [120, 3771], [5218, 6186], [1073, 4628], [8170, 8174], [4032, 7787], [3440, 3711], [4563, 7423], [2636, 6360], [1227, 2062], [9112, 9596], [4315, 8075], [6932, 10339], [4086, 8023], [1849, 8232], [6556, 10991], [9562, 9832], [1850, 4670], [733, 8320], [7827, 8939], [4300, 5508], [1073, 4978], [1945, 11323], [5543, 7824], [3583, 6621], [7328, 10689], [5050, 7891], [36, 10085], [1156, 10116], [1751, 11457], [10455, 10988], [6847, 7383], [3943, 8095], [6716, 7866], [4971, 8537], [3727, 6750], [6916, 8651], [5846, 7983], [705, 8904], [5285, 9636], [1018, 7149], [2647, 9501], [892, 8730], [892, 2314], [396, 4362], [2364, 6180], [1419, 4460], [6310, 9780], [4309, 5570], [4216, 9543], [329, 6523], [10509, 11574], [2035, 3645], [1343, 2371], [1282, 4347], [793, 1904], [3089, 8691], [11203, 11389], [2276, 2926], [2052, 7382], [4507, 9318], [5037, 6100], [1960, 7793], [5609, 7989], [6461, 6542], [4470, 9436], [1827, 8203], [2212, 8768], [7308, 10356], [3352, 9451], [1695, 5805], [1041, 4261], [798, 1093], [9005, 10398], [9981, 10650], [2686, 10529], [3214, 6484], [4313, 5638], [5, 6560], [5837, 9694], [161, 7073], [8282, 10942], [8843, 9289], [2921, 5858], [61, 6842], [2671, 5683], [3639, 5320], [5569, 10818], [1801, 9210], [8594, 11564], [280, 8054], [8373, 9875], [1298, 7808], [1704, 2080], [7607, 10372], [213, 10215], [9705, 10728], [6775, 10219], [2848, 10052], [21, 596], [1726, 7696], [2694, 9585], [808, 3635], [5391, 11054], [7034, 10860], [3716, 10212], [944, 6879], [839, 8583], [2833, 9370], [1816, 6808], [10054, 11262], [379, 11042], [1036, 9097], [1731, 3502], [6562, 8017], [1272, 8815], [5343, 7980], [2049, 5474], [4664, 11075], [3850, 8118], [242, 4513], [5063, 9094], [6066, 7786], [5725, 7493], [3531, 3642], [1695, 4195], [3284, 6394], [4311, 10398], [4127, 7837], [4058, 5788], [252, 1444], [102, 4883], [8293, 9491], [5645, 7914], [1163, 7717], [8847, 10831], [9566, 10518], [2190, 5305], [6574, 9131], [41, 443], [2907, 3411], [3065, 11167], [5453, 11127], [3932, 4336], [3427, 9304], [6171, 10589], [2458, 9442], [4103, 5157], [2676, 10833], [1114, 3287], [2309, 9319], [4697, 9279], [1304, 7548], [4669, 7231], [7866, 9804], [3795, 4223], [3255, 6753], [3105, 3776], [5319, 9033], [1556, 7769], [3006, 3016], [7467, 9506], [1196, 2538], [3226, 5234], [3141, 9068], [1861, 5372], [3033, 5593], [7544, 10692], [1854, 4201], [5434, 9922], [291, 10016], [6361, 10312], [4535, 11553], [1973, 8996], [1063, 6331], [610, 5797], [7549, 8003], [5682, 6991], [1066, 3596], [1651, 6501], [7165, 11046], [50, 10304], [446, 3888], [7636, 10631], [3909, 4860], [5664, 11323], [8348, 9147], [4024, 9536], [7883, 10508], [4922, 10686], [2289, 10141], [6827, 11401], [590, 4017], [5328, 8341], [6283, 10779], [5075, 8649], [6076, 6514], [1866, 4561], [2335, 9735], [1616, 3632], [5282, 11379], [5497, 6837], [2011, 4161], [5402, 9983], [3294, 5876], [4479, 10466], [823, 1902], [5952, 10800], [7077, 11175], [7731, 9713], [3283, 4182], [3723, 8618], [3475, 4352], [3550, 5465], [2810, 4901], [6829, 8040], [5760, 10980], [70, 4489], [8041, 11043], [1835, 5224], [8679, 10576], [1365, 2077], [1223, 9541], [7992, 9646], [1464, 6220], [3580, 7936], [431, 8817], [486, 8524], [861, 1231], [6215, 8527], [5344, 11452], [1149, 10531], [8952, 9395], [115, 10274], [3000, 11040], [9357, 10612], [1198, 4007], [138, 4027], [2223, 11348], [12, 5608], [3224, 9213], [2653, 3762], [7458, 10062], [9944, 10557], [5018, 9188], [1886, 11174], [4933, 10770], [5014, 5282], [4186, 9035], [3615, 5836], [4174, 7520], [4583, 6227], [1381, 3310], [1969, 3480], [3576, 3629], [900, 6420], [6413, 11494], [3608, 11431], [2228, 4121], [9915, 10916], [1417, 4845], [1384, 2453], [6782, 9267], [459, 2863], [1362, 4357], [668, 6420], [3262, 11144], [5241, 6735], [2074, 10420], [2938, 5570], [701, 5779], [3860, 5616], [7010, 8343], [793, 8751], [1725, 2315], [1037, 2695], [4768, 10837], [11528, 11580], [1843, 4256], [4458, 9857], [8878, 9176], [3731, 9528], [586, 729], [3848, 4451], [3136, 11570], [9889, 11142], [3354, 6545], [8758, 10952], [1444, 2453], [2820, 4359], [3439, 6094], [9008, 10346], [5432, 8908], [7476, 9058], [6144, 11588], [578, 6853], [1259, 10220], [8442, 8622], [7793, 10428], [3958, 7598], [2037, 9733], [282, 8962], [4361, 5736], [5510, 10669], [2309, 4944], [2770, 9503], [8341, 8920], [3802, 7435], [2088, 3255], [3100, 5473], [8213, 9674], [4295, 10751], [584, 6267], [1145, 1608], [642, 9655], [6025, 9021], [5746, 9606], [6317, 6389], [3572, 4879], [1726, 4744], [203, 9958], [2195, 9918], [5555, 7005], [3344, 8435], [8882, 11122], [694, 10195], [9560, 11185], [723, 7900], [1561, 8999], [5697, 6307], [7789, 10635], [8465, 8740], [934, 5868], [9466, 11523], [9648, 10251], [126, 11027], [8276, 9218], [7068, 7088], [7906, 8187], [3019, 5992], [987, 6633], [2420, 11325], [2769, 5063], [7939, 9798], [1606, 1952], [465, 1044], [6999, 8422], [8561, 8798], [3539, 4715], [2021, 3857], [1727, 3410], [2270, 10977], [4975, 6672], [4557, 10885], [484, 10893], [86, 7814], [2324, 11213], [760, 10010], [1670, 6259], [2513, 7702], [8884, 11144], [9312, 9901], [9408, 9609], [819, 4174], [3430, 10033], [5699, 8581], [7003, 11173], [382, 4550], [8687, 10980], [2021, 9118], [252, 8641], [663, 10427], [2898, 3729], [4665, 7543], [2733, 5382], [1981, 3303], [7369, 9429], [6130, 7986], [1486, 8959], [9772, 11175], [4944, 9587], [6506, 10717], [899, 3729], [1764, 8903], [5724, 10681], [2973, 7471], [1734, 3776], [1722, 2261], [2415, 7143], [4244, 5419], [54, 4842], [3942, 10716], [4623, 7667], [5373, 5913], [3781, 6826], [1446, 9910], [195, 536], [9881, 11468], [4231, 7062], [4143, 7215], [2061, 2077], [3745, 10552], [6696, 9686], [6577, 8274], [1904, 4345], [10651, 11120], [1558, 3708], [756, 2266], [1370, 10073], [663, 6239], [2528, 4172], [1864, 4946], [281, 3693], [67, 11089], [1182, 10776], [5134, 6277], [2613, 5973], [4667, 6811], [1422, 7230], [1021, 6886], [470, 9227], [1236, 4596], [5074, 11107], [2545, 4526], [3351, 6841], [3015, 6892], [4978, 8366], [7839, 10990], [895, 5434], [5996, 7366], [3009, 6323], [2606, 11568], [2350, 7441], [180, 2456], [4595, 5595], [2385, 9879], [4372, 9495], [1530, 4669], [1230, 10793], [3749, 10270], [5922, 8356], [695, 7251], [2787, 11579], [4363, 5245], [5016, 6564], [3596, 6241], [819, 8980], [2089, 3320], [9690, 11095], [566, 2118], [4268, 5358], [5792, 9414], [3930, 8746], [7715, 11489], [3267, 3706], [467, 4741], [4102, 4507], [3971, 7996], [8561, 9416], [4875, 10092], [6088, 6150], [3034, 3885], [8357, 8862], [4067, 4671], [2635, 2833], [2465, 4896], [7239, 8877], [1573, 6944], [2774, 5651], [2876, 9311], [3704, 8941], [2809, 5056], [534, 8191], [5412, 9142], [1145, 3649], [5298, 5822], [9393, 9545], [1065, 8581], [9525, 11162], [6968, 9703], [588, 8427], [1078, 1646], [4412, 11098], [2423, 8403], [5969, 11130], [8918, 9437], [4123, 4579], [7283, 7994], [3140, 7263], [6997, 11572], [8112, 11259], [1758, 4788], [603, 6456], [7638, 11376], [5181, 6361], [6237, 8851], [1664, 2874], [2223, 4558], [7510, 9878], [5061, 5478], [5773, 7404], [4989, 6541], [11331, 11497], [6725, 8790], [479, 10712], [283, 6636], [1535, 6786], [9086, 10310], [5385, 10678], [9968, 10927], [687, 8382], [4269, 10766], [1339, 6093], [126, 10035], [2829, 4903], [4661, 9866], [3888, 6910], [6211, 6475], [9824, 11178], [3969, 6340], [80, 6657], [7707, 9237], [2669, 6873], [931, 1545], [1516, 4450], [1922, 2886], [4974, 5078], [1072, 7442], [5089, 9754], [1761, 7664], [1267, 11293], [2096, 10394], [2127, 3291], [6646, 6753], [4834, 5448], [9259, 9275], [4426, 10349], [2619, 9388], [2163, 2167], [3118, 3851], [5487, 6767], [814, 9254], [8821, 9049], [4363, 9246], [6078, 10618], [1128, 3937], [534, 9614], [5489, 10223], [2552, 10795], [5689, 6901], [3741, 6459], [2096, 10744], [152, 7068], [1394, 2366], [7844, 8545], [5734, 10027], [7346, 9766], [2019, 11463], [6747, 9437], [3168, 9980], [6664, 7682], [7937, 7955], [1870, 4924], [3668, 8805], [168, 1535], [1790, 2716], [6174, 6542], [2627, 5842], [5983, 6193], [5590, 9874], [4347, 10941], [8017, 9762], [4245, 4248], [9313, 10958], [1813, 9651], [8187, 11112], [11306, 11520], [6478, 10686], [9000, 9680], [62, 3337], [9746, 11190], [5222, 10767], [1144, 10431], [11128, 11406], [9763, 11544], [2454, 7553], [5778, 11399], [1823, 4303], [3596, 11315], [3723, 4674], [3812, 9627], [7955, 11112], [9846, 10266], [2248, 6172], [947, 3851], [6514, 11440], [3214, 5736], [4982, 5988], [4419, 5316], [5413, 6174], [2465, 11475], [1304, 5027], [743, 2516], [3215, 5557], [3205, 4869], [7532, 8161], [2269, 7399], [3767, 6070], [6467, 11220], [1558, 5294], [799, 6208], [3761, 9638], [4783, 6128], [8513, 11416], [4165, 7247], [4091, 11270], [3783, 6953], [546, 4981], [4035, 5676], [824, 11341], [4437, 8874], [3095, 6552], [4991, 6050], [8635, 10066], [1321, 5731], [2351, 2836], [2812, 7395], [6014, 6148], [7325, 9911], [2504, 3078], [7488, 10841], [69, 8964], [5702, 8505], [8555, 10487], [8883, 9764], [10609, 11325], [8401, 10020], [490, 7681], [8218, 11067], [4610, 6708], [2517, 3663], [772, 3580], [8332, 9102], [4135, 11518], [6869, 7951], [4076, 10157], [2161, 4967], [6333, 11354], [3141, 9125], [4616, 6903], [2281, 9987], [1315, 3226], [9630, 10344], [6199, 11539], [6636, 8130], [2066, 5080], [127, 8918], [3213, 6934], [5800, 11241], [5645, 7166], [5676, 6479], [5982, 10723], [2114, 11163], [4053, 11462], [4860, 6832], [3978, 8844], [1110, 5803], [5005, 6432], [4198, 4646], [7269, 11052], [7253, 10519], [7171, 8265], [2881, 9736], [1479, 4357], [5472, 8527], [618, 2308], [1443, 8083], [4591, 7731], [1943, 6154], [10470, 10711], [5484, 8537], [1936, 4983], [7944, 10817], [4809, 9122], [5220, 10908], [7608, 10868], [4905, 9584], [2873, 6061], [4929, 7726], [693, 6804], [3272, 9742], [7718, 8784], [4058, 4235], [4418, 7961], [6885, 11412], [5385, 5498], [2305, 9926], [3864, 4369], [2710, 11143], [1308, 5764], [3326, 6945], [2082, 5158], [1832, 10645], [4609, 8660], [435, 6364], [7747, 9872], [2303, 10230], [8619, 9801], [4003, 6406], [2664, 7765], [3887, 8675], [862, 11312], [5745, 6191], [1672, 10363], [2114, 10708], [92, 8627], [5185, 10698], [4565, 10990], [1322, 5820], [737, 2915], [2786, 5661], [8109, 11392], [6020, 11499], [6739, 10432], [4088, 5174], [5283, 10452], [3942, 8732], [1033, 2684], [7395, 9016], [10340, 10587], [2332, 8315], [310, 9644], [1707, 5230], [11178, 11282], [5507, 9005], [615, 10630], [5682, 7316], [7645, 8790], [1636, 9901], [428, 7771], [10450, 11482], [7673, 7805], [5367, 9375], [6557, 10145], [2440, 8383], [2577, 11098], [602, 8109], [2381, 4770], [2283, 4235], [1999, 4476], [6176, 10453], [1474, 1622], [7738, 11583], [730, 10738], [4273, 7532], [880, 883], [659, 5610], [344, 10702], [62, 1190], [5859, 6023], [150, 256], [3764, 5561], [6757, 10556], [5625, 9010], [2710, 9533], [7691, 11363], [1089, 5544], [3257, 3286], [490, 10877], [5779, 6444], [6212, 9709], [3375, 5227], [1542, 3045], [1325, 4508], [7329, 8688], [7823, 9977], [3967, 8522], [6859, 10459], [9133, 9351], [478, 9712], [4332, 10340], [3807, 7486], [4390, 7312], [3408, 7188], [60, 3722], [5419, 11362], [7695, 11081], [2110, 7824], [933, 7259], [10951, 11201], [7768, 8334], [8019, 9865], [5436, 8683], [959, 2414], [2545, 7348], [4307, 10818], [1053, 8465], [1074, 6336], [2791, 4371], [3099, 4524], [4339, 9575], [8919, 11061], [3253, 8374], [6081, 6354], [6607, 7898], [6586, 7775], [7484, 8925], [939, 9302], [4645, 7780], [189, 2388], [8067, 8751], [3406, 6337], [1025, 2660], [8696, 8922], [565, 5119], [4771, 9582], [4585, 6948], [3213, 9325], [1618, 6557], [7533, 11446], [4823, 8991], [3730, 5121], [3337, 11054], [7840, 9876], [1453, 7429], [5415, 10034], [3760, 6461], [5344, 11322], [184, 8029], [55, 9339], [4757, 7590], [5934, 8155], [9012, 9316], [3470, 9139], [7368, 7787], [3526, 10202], [482, 7871], [1684, 3770], [6950, 8213], [7259, 9722], [4141, 11414], [2100, 9283], [6795, 10527], [816, 7343], [2712, 7595], [9, 2147], [5792, 8048], [1310, 7851], [4851, 10234], [2762, 10341], [6380, 8972], [5504, 11553], [7650, 8947], [3104, 10455], [1636, 9714], [7670, 9599], [2735, 8868], [3033, 6081], [925, 1220], [10159, 10365], [2751, 5614], [3530, 9516], [4058, 5471], [6257, 9696], [6210, 9850], [1002, 8795], [326, 6526], [5580, 7202], [4981, 8371], [36, 6198], [5514, 8834], [3282, 9387], [2281, 4352], [4180, 10537], [5888, 10738], [4644, 8951], [2648, 5085], [2925, 7837], [189, 10577], [877, 10197], [2231, 9900], [183, 5844], [589, 7286], [3543, 10101], [1120, 11086], [4790, 4989], [4480, 10425], [4169, 6591], [4783, 7982], [6469, 6704], [5624, 8598], [1112, 9690], [6251, 8696], [1953, 11060], [2571, 2771], [4501, 8269], [10669, 11352], [989, 11542], [609, 4905], [6216, 9641], [3088, 4983], [5655, 11267], [1603, 9900], [11116, 11290], [9199, 10915], [8186, 10781], [4309, 8449], [5429, 8480], [1683, 11357], [4107, 10974], [591, 9587], [875, 2930], [2771, 3182], [56, 383], [4233, 6360], [3046, 5107], [6882, 11545], [7247, 9980], [1345, 5296], [2637, 3367], [3044, 7663], [4038, 9275], [4886, 11062], [6493, 10457], [1608, 9089], [2507, 10841], [2161, 3788], [1197, 10686], [7453, 10206], [8974, 10581], [7422, 8641], [2850, 11180], [6924, 9862], [10728, 11127], [4553, 4621], [1246, 4162], [1853, 2854], [354, 6210], [2589, 5928], [4526, 6181], [1628, 3675], [8813, 10074], [1155, 1765], [5979, 11525], [6096, 6448], [342, 8078], [4521, 9220], [467, 7026], [1747, 9224], [1869, 10153], [10200, 10634], [3462, 6432], [2777, 5575], [8033, 10084], [125, 846], [6594, 7075], [7337, 11320], [4505, 7182], [3610, 9713], [3782, 10759], [1263, 11282], [2424, 4898], [3004, 7459], [731, 8011], [10448, 11086], [4314, 6833], [3820, 10462], [1071, 1663], [7058, 8872], [4692, 10391], [10153, 11168], [1066, 4702], [3063, 11422], [9601, 9874], [2438, 11370], [198, 5646], [2901, 6930], [5829, 10776], [8602, 11301], [104, 5230], [8686, 9494], [1237, 8906], [9614, 10486], [10739, 10861], [7599, 8822], [5840, 11315], [7593, 9007], [10741, 10907], [5040, 9919], [1238, 3065], [274, 9963], [5522, 8939], [3009, 6998], [2537, 7942], [5896, 7810], [3504, 10360], [9132, 10311], [5369, 9047], [7103, 10469], [1232, 11514], [2096, 7418], [5019, 10920], [1942, 6951], [1624, 1946], [3391, 5760], [4667, 9714], [7497, 10773], [2860, 8753], [4663, 6562], [2181, 10350], [1677, 8373], [4168, 5802], [3853, 10894], [7466, 8427], [9673, 10261], [303, 4261], [2039, 6510], [4222, 6038], [7800, 10932], [393, 6406], [737, 10380], [7438, 9762], [3603, 6932], [4618, 9421], [1159, 8568], [5240, 8421], [3714, 7702], [8065, 9136], [4114, 4411], [4057, 8041], [3250, 6255], [4303, 5064], [7079, 11522], [1446, 8975], [6384, 9977], [565, 5550], [1874, 7732], [1750, 5976], [6113, 8925], [2238, 8948], [1801, 5941], [1246, 11546], [4016, 8390], [4133, 8975], [8503, 8931], [6725, 10620], [4918, 9659], [8614, 9701], [4094, 6014], [9212, 10559], [2041, 8784], [2732, 9833], [1524, 3539], [2453, 4756], [2415, 8436], [7180, 8167], [8883, 10276], [4597, 7739], [9750, 9861], [4970, 6035], [2348, 9843], [667, 8055], [4619, 11470], [4586, 6826], [4116, 4433], [5676, 8146], [3377, 7477], [1224, 5879], [1964, 3437], [441, 2235], [3240, 10397], [3061, 8180], [7698, 10200], [6354, 11215], [2457, 6753], [339, 8374], [10338, 11135], [314, 10761], [2544, 9381], [186, 10761], [3825, 10269], [4699, 11025], [5850, 6205], [5720, 10296], [6473, 8813], [921, 1532], [3355, 8253], [7143, 11267], [4629, 5718], [3743, 7611], [1917, 8852], [164, 8908], [330, 10109], [5053, 6985], [7888, 8388], [2007, 8745], [851, 2641], [2315, 6646], [882, 1954], [8973, 9364], [820, 10875], [1102, 9807], [6978, 9106], [5820, 6339], [5212, 8146], [5143, 10261], [6664, 11390], [6206, 9758], [2930, 8612], [2059, 11537], [2357, 8750], [4385, 10619], [774, 1081], [379, 10351], [5133, 8792], [4321, 6662], [5757, 9373], [7835, 8353], [5541, 7274], [4039, 11113], [4510, 6534], [7032, 9692], [893, 5095], [7398, 10981], [10854, 11536], [10656, 10797], [231, 2909], [5081, 8228], [2161, 8407], [1158, 9715], [1193, 5737], [6630, 7618], [4300, 11046], [2492, 7231], [4770, 7777], [3488, 9670], [1786, 6251], [5420, 11077], [4107, 11405], [7844, 11448], [4514, 9285], [2647, 8273], [8846, 10669], [8782, 8964], [5535, 6304], [4146, 7546], [2644, 7221], [4232, 7320], [3723, 4999], [2736, 7941], [2853, 9280], [707, 8099], [898, 1251], [5034, 11391], [2448, 11446], [6684, 8204], [5808, 10785], [4622, 5970], [1862, 4152], [5062, 6242], [328, 8453], [3376, 10903], [2096, 9459], [9155, 10269], [6484, 7742], [2351, 7699], [691, 3782], [3027, 9968], [1121, 2612], [4988, 8363], [3584, 8573], [3522, 7695], [5669, 10976], [8563, 9576], [225, 7924], [2400, 6837], [10091, 11122], [2552, 9860], [1645, 10876], [2517, 11559], [2680, 6073], [7126, 11531], [1364, 2720], [2572, 4850], [2614, 8459], [4293, 9420], [3391, 11534], [4480, 9246], [774, 9270], [6684, 7399], [4065, 10724], [7425, 10817], [2814, 7766], [8915, 9627], [8519, 9627], [4087, 8793], [8049, 10644], [796, 9968], [163, 5891], [3382, 4251], [7766, 8077], [2372, 3634], [1632, 10240], [1533, 3064], [5948, 6203], [1383, 10667], [325, 934], [2842, 10164], [5615, 10689], [2623, 4384], [6014, 10206], [3428, 9507], [1783, 7376], [3089, 3625], [3392, 7598], [31, 3870], [9862, 11019], [2202, 6047], [1682, 3537], [1234, 9039], [9525, 10845], [1024, 5257], [4611, 10991], [2020, 3532], [117, 2109], [9707, 10327], [1679, 3239], [2766, 11458], [4977, 5864], [2735, 5729], [7282, 10485], [2227, 4010], [520, 1001], [1022, 1397], [3472, 9405], [2701, 9528], [2823, 4795], [261, 8654], [3504, 7408], [5673, 6506], [263, 8700], [3007, 10739], [11035, 11411], [6572, 11264], [1973, 3312], [1121, 4035], [5900, 9114], [2999, 9343], [9628, 11323], [6132, 7959], [5949, 9006], [438, 3978], [1382, 5473], [6198, 9710], [1621, 5489], [3861, 5551], [6512, 10809], [781, 4317], [3583, 9744], [1183, 5263], [2055, 8198], [2518, 3004], [3046, 9539], [7122, 9048], [4608, 9915], [993, 11555], [1717, 11586], [1138, 1356], [7350, 11127], [1746, 10072], [4100, 11202], [4573, 7450], [48, 9835], [733, 3522], [839, 4672], [2425, 10360], [3000, 6161], [699, 8075], [5901, 10813], [7243, 7473], [1075, 4390], [4737, 8231], [388, 6843], [1723, 7994], [5388, 6471], [3674, 7953], [7753, 11143], [2813, 10068], [8009, 8854], [3871, 8467], [230, 2470], [8282, 8454], [7008, 10208], [615, 2311], [595, 10704], [588, 9533], [5440, 9263], [4232, 7133], [983, 10062], [1482, 7531], [1712, 4021], [673, 2666], [110, 3492], [4072, 8349], [5500, 6281], [8697, 8854], [3096, 5064], [5060, 9392], [1412, 5607], [1690, 4797], [8154, 11436], [9933, 10349], [9305, 10780], [2493, 9847], [626, 8081], [8251, 8336], [5195, 10906], [2801, 11131], [5967, 7221], [1885, 7897], [8488, 10908], [3222, 9094], [359, 6397], [4600, 7663], [4490, 9777], [2256, 6497], [2533, 5085], [2261, 7595], [9656, 10606], [6830, 10420], [7670, 10811], [418, 3190], [7071, 9728], [5457, 9162], [2460, 3267], [5660, 9521], [6451, 10774], [7261, 9825], [2048, 8426], [1879, 6897], [7125, 9964], [6013, 10548], [7628, 8306], [3325, 9572], [2203, 8714], [8682, 9969], [6435, 8736], [2758, 6492], [1679, 3052], [5813, 5949], [2019, 3120], [1539, 6455], [577, 1348], [6870, 11293], [55, 8591], [4286, 5759], [10891, 11095], [6377, 11360], [1515, 5280], [2485, 7996], [4278, 4363], [164, 8534], [7268, 9841], [5437, 9984], [7708, 9359], [3374, 4896], [659, 2097], [8291, 9185], [2152, 5342], [6797, 7223], [5742, 7587], [4555, 6334], [8502, 10159], [5792, 6950], [95, 3452], [5101, 7032], [660, 2672], [7124, 8557], [6907, 10020], [8099, 9365], [4955, 10590], [1342, 6641], [3427, 9044], [2677, 3628], [368, 1517], [6035, 7058], [116, 11095], [331, 6553], [4379, 10430], [5659, 7710], [2256, 4537], [1605, 10434], [2514, 8710], [4472, 9840], [6466, 10627], [324, 2349], [1545, 8848], [950, 5255], [3040, 8002], [3128, 4439], [1144, 2088], [1295, 2257], [142, 6250], [9323, 9345], [6274, 7424], [3251, 6724], [761, 5733], [231, 2535], [3242, 8890], [630, 2806], [599, 1241], [7973, 9791], [10660, 11296], [5796, 10051], [8134, 10648], [2995, 5226], [2100, 4347], [3239, 7838], [3490, 5205], [2595, 8490], [7975, 9837], [353, 1185], [6046, 7947], [1252, 5943], [87, 2005], [336, 2709], [127, 8951], [10822, 11250], [1049, 8243], [2174, 8618], [374, 8828], [2170, 11128], [7681, 9740], [8116, 9668], [1767, 3541], [4074, 8989], [3141, 11036], [6178, 9190], [4411, 5376], [488, 2699], [4942, 11428], [4500, 4667], [2507, 10898], [2471, 4825], [4026, 11200], [7455, 10336], [3692, 5662], [4858, 5314], [10179, 10218], [204, 9706], [3621, 10333], [5183, 10709], [9868, 11265], [2497, 6396], [4122, 11258], [5757, 7039], [2185, 2337], [4363, 7937], [4927, 9965], [4381, 8516], [6607, 8118], [5633, 7912], [7935, 8852], [2174, 7813], [9455, 9756], [460, 2879], [4006, 9770], [4475, 8528], [2572, 7859], [676, 1191], [2823, 5226], [4815, 5186], [3380, 3831], [11187, 11482], [9377, 11004], [475, 908], [4337, 5561], [1632, 9866], [4715, 11371], [1315, 7715], [6803, 11039], [9616, 10239], [3365, 5401], [9748, 10358], [8683, 10034], [1030, 2069], [3055, 4421], [3614, 6105], [4820, 5156], [6268, 10880], [558, 3013], [4730, 8646], [2491, 5776], [2931, 5294], [6807, 10407], [9921, 11225], [10074, 11467], [5724, 7225], [803, 3194], [4963, 7312], [1764, 8830], [2297, 11545], [298, 8162], [1268, 10878], [5336, 6362], [1091, 8737], [3866, 5171], [6512, 10085], [1624, 5036], [344, 586], [543, 4179], [786, 1685], [3334, 6064], [7162, 7723], [2845, 2867], [9, 4245], [3966, 5752], [4494, 8123], [2154, 10863], [13, 10780], [2157, 8882], [378, 3553], [1300, 9261], [6563, 10023], [873, 9948], [8099, 9178], [3636, 9031], [659, 8676], [5258, 10212], [1583, 4631], [7596, 10809], [8305, 9054], [1746, 6315], [6572, 11240], [2517, 6192], [3795, 6809], [6935, 8848], [2515, 3113], [4261, 6050], [183, 5714], [456, 4560], [8668, 10799], [868, 9200], [1553, 3641], [4373, 9674], [4529, 10187], [3787, 9550], [702, 7218], [2918, 6886], [4506, 8483], [9969, 10087], [2630, 9637], [1100, 5012], [6769, 7216], [1373, 6864], [7415, 11528], [1744, 8497], [5632, 8709], [3149, 4725], [437, 5607], [6168, 8689], [2799, 5100], [3669, 4202], [6325, 9804], [6005, 10388], [5320, 10285], [6745, 8700], [4296, 4300], [9791, 10323], [4259, 10834], [2567, 8133], [299, 6023], [1913, 3179], [3434, 7718], [1976, 4659], [7547, 9738], [5458, 5681], [1442, 4725], [4248, 6888], [2725, 5686], [4614, 11183], [9163, 11104], [565, 7835], [9064, 10344], [1843, 2036], [4210, 9787], [5800, 6549], [5736, 9008], [1088, 6075], [3266, 5259], [4673, 8730], [9802, 10458], [6414, 11323], [160, 552], [3272, 6205], [1515, 5361], [5606, 10066], [2454, 6512], [5824, 11457], [8773, 9764], [5438, 11421], [8085, 8609], [6552, 10102], [5841, 8778], [6458, 8188], [4889, 5887], [7755, 8855], [977, 10916], [6624, 8665], [3805, 11148], [2501, 2894], [3122, 5456], [1403, 6594], [3213, 4820], [4611, 7047], [6223, 10950], [4069, 6498], [2388, 3956], [9622, 10217], [1214, 1410], [7148, 10513], [6282, 11530], [3886, 4512], [9391, 11223], [2443, 10429], [1796, 6646], [506, 8678], [361, 5291], [304, 4757], [493, 7662], [354, 4120], [8636, 8846], [362, 2483], [1033, 10824], [360, 5820], [6703, 9466], [5612, 7921], [2348, 8290], [4014, 5636], [8670, 11059], [1095, 2253], [5261, 10323], [1493, 8715], [2269, 2520], [4137, 7140], [7714, 9180], [685, 9710], [4699, 6089], [3198, 8618], [4724, 7085], [6630, 8025], [2169, 2289], [2989, 8444], [4293, 10282], [21, 7451], [3257, 9198], [2512, 9044], [4348, 8491], [772, 2889], [2353, 7479], [3843, 6289], [3510, 10775], [10760, 11153], [1600, 1765], [5027, 7244], [825, 9316], [1906, 3757], [3686, 5524], [5886, 6187], [6908, 9847], [8754, 9982], [7124, 7378], [119, 10214], [2180, 8059], [5418, 10633], [2388, 8762], [182, 8284], [3351, 8809], [5353, 9457], [1244, 7556], [4904, 4935], [3600, 8732], [954, 1566], [1358, 5591], [1111, 11349], [5022, 6095], [2850, 10863], [190, 1355], [4735, 6038], [514, 3896], [2723, 8809], [5607, 5967], [1744, 7505], [2623, 4441], [283, 7181], [9133, 11425], [336, 4563], [4888, 10417], [160, 6781], [5443, 8195], [8273, 11506], [1580, 9733], [10291, 10435], [5568, 7143], [2453, 6854], [7332, 10659], [3512, 8861], [1105, 9625], [3264, 8759], [4222, 4298], [3850, 8102], [6276, 11552], [2575, 11166], [975, 8054], [7805, 9536], [3091, 9770], [5455, 11588], [3750, 4488], [4025, 6413], [1129, 5488], [5239, 10243], [1820, 8789], [2462, 5812], [1009, 10267], [3765, 8933], [4860, 10597], [2747, 6146], [2055, 4872], [995, 9056], [4145, 5367], [339, 7439], [3140, 5848], [1309, 4493], [7280, 10445], [55, 11063], [5619, 8555], [361, 1721], [11157, 11242], [1202, 2337], [856, 1700], [3044, 5736], [329, 2937], [2346, 10309], [4598, 5470], [2442, 10771], [2590, 4253], [5298, 6635], [286, 3240], [1256, 5956], [4430, 6825], [5491, 9659], [531, 2290], [6981, 8469], [8712, 10374], [2210, 8169], [7065, 7416], [10805, 11140], [4242, 10911], [9717, 9866], [4648, 5183], [9216, 11570], [653, 5104], [3238, 5578], [7656, 8234], [1061, 5838], [1085, 3980], [747, 7368], [2077, 8929], [1860, 10392], [2980, 4007], [1698, 5900], [2577, 2836], [4843, 8283], [7856, 8295], [3196, 8735], [2035, 2287], [2604, 4659], [16, 10303], [5871, 8725], [5926, 8432], [3810, 4464], [4436, 7370], [1944, 6306], [1104, 2128], [8041, 10677], [2002, 3278], [7578, 8701], [3958, 6964], [6287, 9727], [6636, 10635], [5765, 11308], [3208, 9095], [1773, 10746], [1496, 5742], [1329, 6568], [9393, 9903], [8211, 8994], [1891, 7769], [2770, 8869], [9712, 11346], [5660, 10733], [3325, 7401], [1110, 11341], [4971, 6724], [1418, 9242], [4310, 7015], [547, 5751], [1981, 11045], [7834, 9394], [614, 10356], [4026, 10639], [537, 2030], [421, 10715], [1317, 8786], [1100, 10249], [2774, 5204], [1416, 8765], [2655, 3792], [5858, 9563], [1806, 8196], [32, 9627], [1999, 5558], [5636, 7649], [6405, 10082], [7119, 9425], [6398, 8911], [6525, 8686], [2967, 4444], [3378, 8859], [6456, 10020], [5332, 6083], [7224, 8845], [2783, 8649], [715, 9633], [5293, 10292], [9718, 9955], [3803, 5066], [7507, 8379], [630, 635], [1003, 9511], [3116, 8300], [2801, 2812], [1412, 4054], [2990, 4963], [4330, 7212], [876, 7457], [2027, 6801], [812, 9916], [4976, 5108], [461, 8935], [2323, 3187], [765, 9346], [4629, 10662], [4947, 10005], [3111, 3388], [5695, 7424], [7273, 9087], [984, 7175], [2510, 8648], [6457, 9467], [1455, 6760], [2720, 3008], [2783, 7494], [8514, 10576], [1487, 5517], [9448, 11383], [3187, 5857], [7581, 10371], [3464, 3691], [81, 2648], [1891, 3126], [3157, 9398], [1424, 10830], [1753, 9608], [4367, 5939], [9328, 9746], [8, 3109], [1035, 7113], [3218, 10805], [1568, 7576], [5993, 7239], [193, 6272], [2911, 9342], [4683, 11248], [1569, 4014], [2529, 6796], [793, 4547], [1094, 1277], [4428, 9975], [412, 11271], [1382, 7571], [6301, 8523], [1590, 8274], [10516, 10850], [6882, 8276], [5569, 7850], [2300, 3711], [211, 10234], [7121, 7538], [5602, 7209], [1741, 5410], [2849, 8090], [1613, 10328], [1924, 7746], [931, 9742], [861, 1833], [5711, 7152], [3472, 10698], [10631, 10958], [5841, 6444], [4721, 6413], [2386, 3081], [1606, 6124], [6587, 7954], [2915, 9060], [47, 9429], [3323, 4159], [3684, 11520], [3940, 9231], [3625, 3743], [2938, 6977], [4999, 5576], [8036, 10146], [7294, 9509], [4558, 11495], [4897, 10961], [2751, 10534], [163, 9762], [3981, 8481], [10147, 10737], [3793, 8430], [5854, 7029], [1153, 7468], [5487, 5515], [8284, 9844], [3053, 7839], [3395, 10986], [5009, 5890], [1425, 6843], [2333, 8681], [5664, 7282], [1366, 5482], [2020, 4020], [932, 6156], [2203, 6356], [5687, 8205], [4622, 7881], [3670, 9878], [1803, 8866], [9518, 11293], [2696, 9672], [8699, 10998], [1980, 3840], [2417, 3841], [5341, 10951], [520, 11288], [3689, 4643], [9752, 10184], [10106, 11436], [6395, 10362], [7448, 9171], [5956, 7282], [7671, 10906], [2747, 9610], [1343, 3404], [30, 10148], [2159, 5653], [7531, 7893], [5944, 9150], [2838, 5941], [1315, 11155], [2647, 2963], [3612, 5335], [628, 7973], [5382, 6414], [4984, 9751], [1364, 11047], [1180, 2070], [4237, 8770], [10799, 11026], [584, 7674], [1962, 5489], [7280, 10876], [4169, 7323], [2331, 11213], [824, 10544], [579, 9959], [457, 2614], [3015, 7681], [1663, 8081], [3909, 11341], [7302, 11574], [4064, 6748], [8323, 10845], [6616, 11246], [3280, 5885], [1442, 9775], [3589, 6640], [2185, 6850], [6390, 9213], [597, 1089], [7453, 8710], [31, 2398], [3962, 5690], [3429, 5227], [8385, 8690], [4577, 9935], [594, 11371], [3085, 8046], [2310, 11433], [3586, 9725], [4670, 7847], [9872, 10585], [2290, 7024], [4297, 8016], [3022, 11080], [1494, 3118], [2017, 5145], [2824, 3925], [2855, 5490], [1514, 10186], [3356, 7169], [1107, 5109], [4407, 9315], [6308, 9157], [1009, 2322], [4400, 8144], [3932, 5824], [3042, 8699], [5735, 9295], [1475, 1563], [8950, 10919], [2315, 8370], [660, 1387], [8500, 9178], [3004, 9346], [4114, 4525], [8102, 8351], [827, 9606], [5519, 11333], [2472, 6075], [6816, 10502], [7194, 9142], [9, 3497], [3742, 6050], [934, 6470], [960, 1275], [2713, 5383], [3179, 4624], [5656, 10291], [1714, 7564], [7500, 9599], [3269, 6769], [5383, 8412], [4008, 7108], [3982, 5887], [44, 2178], [5165, 10404], [733, 8816], [2256, 3602], [26, 4982], [1980, 10874], [490, 9812], [5474, 11159], [7729, 11529], [2409, 10233], [4871, 6924], [5060, 9075], [8726, 10406], [9445, 10093], [7234, 8517], [4550, 7283], [5023, 9947], [1666, 2955], [2595, 10588], [410, 10233], [40, 5038], [1413, 9679], [1184, 3211], [7546, 9543], [2226, 8247], [688, 5259], [3145, 3858], [4930, 10133], [8569, 9641], [3576, 10460], [1652, 8160], [217, 9811], [5843, 5929], [3573, 9408], [8934, 11459], [3979, 4434], [4385, 5122], [4223, 4794], [3142, 11107], [3574, 6600], [62, 2703], [5242, 7402], [3600, 11204], [274, 10695], [7304, 8855], [3839, 11220], [4659, 10959], [3420, 9516], [3682, 7072], [1204, 7596], [2109, 5753], [6651, 10919], [3169, 5733], [8952, 9005], [824, 1713], [9037, 10052], [565, 3704], [3271, 8669], [2901, 3474], [6333, 9297], [447, 5146], [6145, 9246], [5739, 8558], [5916, 9948], [4527, 11190], [45, 10993], [3638, 7150], [1525, 9115], [910, 9751], [4894, 9671], [1807, 11430], [3015, 7144], [2151, 4824], [7247, 11330], [1904, 8330], [488, 609], [8299, 9914], [8242, 9380], [1735, 6077], [337, 10239], [1796, 9736], [1109, 6554], [8142, 9149], [6392, 8722], [1173, 7478], [6899, 10216], [1732, 9162], [3864, 4995], [112, 8027], [3374, 4579], [3160, 10477], [412, 5286], [5135, 8578], [8568, 10839], [2670, 9337], [471, 5866], [2494, 11555], [6107, 9088], [4677, 11083], [190, 3372], [5940, 10668], [8094, 8704], [1764, 7545], [6495, 8446], [3765, 8722], [3830, 9117], [3546, 9358], [5334, 5381], [9139, 9500], [4882, 7701], [2814, 8685], [10909, 11333], [114, 11082], [4129, 6151], [410, 10851], [637, 3660], [4778, 9980], [788, 10245], [1936, 8537], [3452, 8568], [4114, 7721], [708, 10666], [7070, 10582], [721, 8619], [1743, 5863], [7529, 8652], [3921, 4293], [2302, 7547], [2238, 5842], [3733, 4996], [1137, 3609], [188, 11539], [4417, 5628], [794, 5872], [8858, 9207], [8615, 9449], [3937, 5176], [7987, 9880], [726, 4425], [406, 2757], [6601, 10669], [4054, 9898], [2247, 2521], [1443, 10832], [4013, 6110], [3584, 7882], [1958, 5801], [6342, 9627], [717, 7695], [7532, 8145], [438, 8280], [3399, 8102], [1620, 9189], [2552, 9169], [1833, 3820], [1918, 9785], [8168, 10988], [269, 3748], [4717, 7744], [3526, 9755], [3151, 3462], [296, 4790], [907, 6664], [6264, 7061], [4896, 6928], [1291, 9256], [9223, 10220], [2587, 4817], [3645, 3970], [6630, 8350], [9967, 10903], [5519, 9536], [3, 4164], [4170, 10207], [1020, 1064], [1812, 11587], [4856, 6748], [6597, 9341], [752, 5191], [100, 1064], [1965, 6167], [6510, 10850], [367, 8763], [4536, 8463], [866, 3980], [4912, 11194], [9300, 10975], [4539, 4947], [7455, 11442], [2161, 4951], [4996, 6354], [445, 10524], [99, 3471], [2124, 5823], [1356, 3211], [6581, 7653], [7668, 9456], [4772, 10783], [94, 6510], [257, 7440], [6420, 10933], [7913, 9260], [1753, 10202], [2113, 4129], [1309, 6778], [4607, 9403], [5068, 10552], [5536, 5702], [2236, 6414], [780, 6434], [3333, 11157], [11203, 11243], [4792, 8402], [4735, 7868], [535, 6603], [6469, 9290], [6809, 10112], [2332, 10259], [735, 5910], [427, 5757], [2980, 10480], [3659, 10768], [3846, 6430], [2507, 11199], [2344, 3853], [138, 4873], [6982, 10979], [951, 1189], [903, 7564], [435, 5998], [1250, 5393], [4214, 11148], [8316, 9626], [4039, 5697], [6814, 9301], [6920, 10451], [6349, 11416], [303, 2846], [7620, 10862], [1343, 4803], [1701, 8483], [7802, 10344], [7752, 10981], [121, 6747], [3445, 4177], [838, 3355], [1278, 10043], [5564, 10328], [82, 10956], [1761, 5501], [6874, 9702], [8543, 10729], [7144, 11283], [8300, 10971], [1832, 7596], [2316, 4033], [707, 805], [2233, 8694], [8384, 9918], [7241, 8183], [3473, 6575], [7764, 7958], [1296, 10999], [1409, 2016], [5586, 7993], [2993, 6877], [5794, 8696], [7111, 9241], [2722, 5071], [9129, 10422], [4303, 10415], [7247, 8378], [2589, 5481], [774, 4659], [6, 8463], [431, 7703], [6654, 10493], [1962, 2350], [6597, 9959], [6002, 6366], [3266, 4942], [2581, 11255], [2512, 6954], [459, 8970], [3580, 3789], [1049, 9967], [2857, 9618], [10546, 11578], [8799, 10668], [1865, 5800], [270, 3032], [4695, 6859], [8590, 10494], [1417, 11302], [1133, 11543], [7139, 10134], [6743, 10134], [1915, 2130], [3465, 8161], [5995, 8928], [197, 4624], [2010, 9537], [1695, 4049], [6519, 7393], [8260, 9986], [7854, 9298], [3186, 5713], [5082, 5965], [2804, 3167], [374, 9397], [1869, 8551], [3522, 9045], [1681, 9254], [5631, 9590], [3210, 7238], [5202, 7198], [5104, 10827], [8777, 9165], [1124, 1200], [7383, 10063], [10151, 10244], [6164, 9272], [3521, 8793], [4730, 11525], [3543, 3856], [10569, 10942], [951, 11256], [4031, 6828], [180, 5717], [445, 538], [5683, 9349], [1197, 5246], [2995, 8373], [4999, 6438], [6950, 9807], [6102, 8020], [6167, 9169], [6235, 6829], [1187, 7941], [1722, 5067], [4826, 7449], [5540, 6038], [5426, 9134], [10087, 11548], [6202, 10853], [3423, 10513], [3340, 8758], [1778, 1966], [1744, 5765], [997, 11200], [118, 7848], [2549, 4472], [613, 7827], [9453, 10629], [4506, 7629], [2455, 4056], [3945, 10036], [151, 7207], [7432, 9150], [484, 8356], [2855, 4929], [394, 9594], [3876, 10616], [11071, 11287], [4925, 9683], [3559, 6967], [1754, 2669], [5281, 5346], [8042, 10018], [4434, 6413], [9065, 10116], [3528, 10283], [2657, 5294], [5514, 10428], [6412, 11578], [1128, 5775], [3031, 7198], [1589, 11088], [9524, 11569], [2772, 8435], [6220, 8375], [8212, 8335], [3914, 9945], [4603, 10921], [778, 8779], [1182, 9394], [583, 1895], [1450, 1480], [2912, 11074], [6814, 9464], [6498, 10167], [6369, 8067], [6427, 11455], [6680, 9649], [944, 2813], [5403, 5470], [315, 3019], [3372, 9719], [2752, 10011], [471, 3532], [780, 10703], [6793, 10465], [7944, 9809], [1786, 7414], [1686, 10216], [9683, 11575], [900, 2891], [1746, 3851], [5233, 9381], [8285, 9321], [4913, 7713], [63, 2367], [302, 8045], [1052, 2881], [1019, 6905], [3949, 5162], [4689, 5726], [888, 8142], [5025, 9058], [5147, 9987], [10352, 10744], [10125, 11519], [5519, 8812], [2568, 9678], [792, 8030], [6267, 6985], [3994, 10947], [3803, 7969], [976, 10591], [4147, 7779], [2777, 6819], [1125, 7681], [2835, 4545], [3237, 8497], [1830, 2774], [1556, 10119], [4272, 10110], [2025, 8877], [6416, 7458], [6815, 6975], [3212, 10130], [5943, 10429], [6965, 7673], [409, 8615], [6001, 8155], [2491, 5085], [3293, 5773], [110, 654], [3756, 4716], [4196, 4988], [3695, 6692], [1417, 3894], [4187, 7154], [448, 10448], [6246, 8336], [3937, 6225], [5869, 6134], [487, 3960], [974, 9740], [6388, 10671], [4526, 10003], [4615, 8540], [4492, 7386], [2057, 6856], [7483, 9302], [9873, 10089], [2930, 10393], [3983, 9202], [10617, 10772], [932, 9864], [225, 1866], [1995, 9361], [7967, 9122], [548, 6491], [737, 9396], [6941, 7972], [3698, 9218], [4544, 10178], [3856, 4142], [3381, 7067], [215, 4561], [4762, 9317], [1104, 1461], [4761, 5682], [6674, 7069], [4779, 10425], [4908, 6109], [1138, 10090], [4865, 5281], [8022, 9179], [7201, 9215], [697, 6183], [2823, 9341], [2071, 7262], [2196, 6210], [5730, 7422], [566, 4387], [4950, 8213], [6312, 7777], [841, 3279], [8714, 9298], [7805, 9487], [1554, 11065], [584, 1933], [489, 4325], [124, 3638], [2364, 3700], [6125, 8301], [9356, 9704], [8213, 8723], [3196, 4230], [1076, 5024], [4508, 10847], [267, 3165], [4585, 8623], [509, 2698], [8602, 10935], [238, 892], [1516, 8679], [317, 5911], [3682, 4096], [6080, 11160], [4834, 6294], [5546, 10472], [6924, 9041], [8543, 10705], [341, 1020], [2832, 4865], [591, 10994], [5112, 11119], [532, 1719], [5481, 10427], [6279, 7963], [4808, 6951], [4324, 11268], [5721, 6100], [3345, 9183], [139, 7278], [7539, 10633], [1756, 7361], [11057, 11312], [1100, 5744], [6599, 9257], [976, 3988], [2875, 7921], [5583, 9549], [9975, 10984], [1374, 10450], [130, 8663], [7012, 10335], [844, 7252], [1589, 5908], [216, 1267], [5885, 7635], [7693, 11450], [6423, 10694], [811, 9024], [2467, 9789], [3768, 5694], [3986, 7085], [3617, 4744], [28, 5353], [1903, 10390], [403, 4476], [334, 8843], [1989, 3748], [401, 7032], [4909, 6952], [4102, 5166], [5246, 9755], [1512, 9229], [803, 8732], [2319, 8763], [3995, 6797], [1918, 2003], [7678, 9987], [8977, 11481], [4190, 10648], [5028, 7583], [7146, 10126], [1731, 5560], [795, 8090], [361, 11016], [2596, 10734], [4970, 6824], [2374, 5437], [4901, 8939], [1482, 8239], [732, 6987], [2256, 11043], [565, 8567], [2935, 7167], [8587, 10922], [9712, 11297], [7318, 11522], [3139, 3964], [1155, 8783], [3977, 5063], [4117, 11459], [2405, 7352], [4105, 9944], [7806, 8078], [1742, 10980], [1403, 5098], [312, 10723], [1960, 10119], [8111, 11343], [962, 5355], [6994, 11583], [7030, 11240], [22, 10395], [2601, 9923], [182, 1982], [3284, 6947], [6896, 11425], [5647, 9294], [6089, 6229], [5927, 11563], [7921, 8186], [4710, 8189], [2449, 7250], [2504, 6957], [228, 822], [570, 4723], [6017, 7292], [7584, 8766], [5423, 7307], [9010, 10035], [1541, 4631], [7193, 8386], [2523, 8138], [105, 5303], [3465, 9560], [6199, 10157], [3489, 7702], [4046, 8559], [7072, 7278], [5661, 6317], [6970, 9253], [1831, 3831], [800, 9507], [3828, 7518], [8981, 10394], [889, 11427], [10980, 11525], [2950, 7020], [8012, 10532], [9548, 9687], [4037, 4659], [515, 6490], [427, 4391], [5430, 10706], [3475, 9093], [442, 1289], [2664, 10571], [1382, 5294], [2404, 2538], [2343, 10930], [5459, 6159], [3303, 6542], [755, 2917], [1942, 4170], [1434, 8867], [1432, 8794], [1463, 8107], [1058, 10273], [6258, 9932], [8216, 11062], [2588, 5449], [2180, 9596], [2356, 5880], [9706, 9872], [4859, 10486], [5203, 11050], [5506, 8607], [8961, 11216], [5687, 10116], [830, 3626], [4109, 9207], [3319, 10808], [4100, 11373], [146, 7131], [5056, 10249], [4683, 8166], [550, 8123], [2123, 2272], [3786, 9870], [9445, 11386], [4557, 9747], [7351, 11149], [8130, 10133], [9007, 11160], [9377, 9939], [7723, 9974], [446, 3986], [5948, 11180], [5139, 9321], [373, 8611], [3852, 10116], [4583, 11318], [4614, 6467], [1051, 1881], [777, 2810], [1800, 9324], [155, 6439], [1058, 6435], [841, 7898], [6712, 6853], [2696, 7395], [7002, 9810], [8127, 10185], [894, 6778], [581, 2117], [7275, 10908], [140, 8790], [1462, 9679], [6247, 7433], [3220, 9243], [3989, 6041], [5181, 7638], [6743, 8768], [1452, 5958], [7083, 11088], [511, 1728], [4022, 7652], [1291, 4320], [4615, 8166], [8947, 9550], [480, 5798], [2436, 3095], [2274, 11435], [970, 2427], [2936, 10588], [1969, 10799], [6379, 9430], [3144, 10537], [1057, 7307], [1690, 4968], [2795, 3967], [2048, 2986], [7350, 9338], [2923, 8848], [1402, 8473], [3580, 11067], [10297, 10982], [3984, 5266], [2828, 3326], [7156, 9472], [2507, 3685], [2732, 6247], [4628, 6499], [951, 6507], [5849, 6582], [4655, 10574], [3225, 10317], [3999, 8957], [5160, 9743], [4043, 9229], [1011, 10695], [4318, 4738], [7021, 10186], [3590, 7971], [2571, 7992], [6420, 9030], [7508, 9523], [443, 8144], [3550, 7791], [7569, 10930], [4740, 6309], [9900, 10356], [3962, 10179], [6192, 8799], [9276, 10906], [6072, 7916], [11237, 11553], [1249, 6672], [4351, 5975], [1794, 3762], [5782, 7588], [5224, 9512], [952, 5927], [3608, 11529], [2082, 4394], [4933, 6330], [3138, 6884], [9522, 10531], [1291, 2360], [5716, 6187], [1829, 9583], [454, 9033], [1414, 11061], [3680, 10092], [3344, 10143], [2726, 11262], [9753, 9905], [4216, 10072], [911, 6276], [3741, 6581], [2345, 11570], [1745, 3469], [5953, 8759], [2811, 6647], [5196, 7090], [5134, 6212], [2071, 6083], [1974, 6150], [6814, 10781], [7004, 7872], [813, 9501], [4080, 7151], [2151, 4507], [1466, 4404], [3262, 6704], [7778, 10649], [7308, 7502], [374, 9804], [3129, 4862], [2480, 6668], [4668, 10704], [5599, 7830], [4842, 5407], [1910, 4071], [2104, 7320], [84, 5312], [4993, 5576], [1419, 7217], [8860, 11327], [2698, 11442], [5644, 10232], [9883, 11425], [9255, 11102], [633, 3275], [1567, 11252], [9536, 10563], [1062, 9050], [2720, 9888], [1994, 9784], [5486, 9242], [8791, 9628], [5135, 8261], [1279, 10970], [200, 6776], [400, 3454], [1561, 3486], [4298, 8518], [3587, 8692], [1655, 7285], [803, 8008], [5944, 7841], [4416, 5541], [4168, 8445], [8647, 9125], [4476, 6346], [6716, 9818], [1645, 11478], [2679, 10237], [150, 5908], [905, 5252], [9989, 10666], [528, 3050], [6159, 8180], [2353, 10252], [460, 3855], [7147, 9223], [8774, 10748], [2635, 6151], [455, 6894], [6893, 11558], [6580, 6897], [7772, 8494], [1193, 4379], [1998, 9502], [1848, 5771], [874, 5565], [6641, 8304], [7606, 10676], [5400, 6034], [5230, 7343], [5949, 7030], [68, 7387], [3583, 10801], [1752, 3030], [2443, 6331], [4981, 10022], [4329, 5895], [3551, 9011], [3236, 3523], [6004, 10120], [963, 1823], [2368, 10883], [1186, 9974], [307, 6622], [1179, 6551], [9709, 10625], [6934, 7775], [6125, 11578], [2636, 2969], [1488, 7306], [5569, 7159], [2895, 4361], [7622, 8526], [10385, 10615], [684, 9174], [2169, 7640], [496, 9123], [4290, 9700], [1728, 10149], [6802, 8006], [3091, 6932], [9136, 11113], [4186, 8596], [5123, 9674], [6582, 9171], [9758, 10867], [949, 962], [10898, 11550], [9258, 9763], [791, 3005], [3530, 3946], [8220, 11262], [5611, 9613], [470, 3364], [1003, 10243], [4386, 5624], [8587, 9743], [1863, 5247], [1305, 10581], [1582, 9169], [771, 3477], [86, 3374], [583, 4180], [3790, 7441], [7461, 9116], [1153, 10160], [685, 7840], [2793, 5531], [3161, 10653], [186, 10371], [21, 2198], [4193, 7831], [6593, 10060], [9077, 9728], [10298, 10565], [4412, 10578], [5315, 5656], [2044, 11270], [7020, 8592], [3286, 5814], [4896, 9644], [7079, 9172], [8231, 11370], [2428, 6722], [7696, 7828], [6481, 10943], [2093, 8129], [7483, 10164], [8032, 11160], [2022, 9417], [5423, 9511], [748, 11171], [10555, 10756], [3203, 5937], [1866, 8123], [1528, 11511], [2175, 8878], [7691, 7834], [1244, 5336], [5946, 7751], [8809, 11202], [3475, 7564], [8156, 9102], [10166, 10422], [6096, 8449], [2691, 10865], [8551, 9631], [924, 7051], [6237, 7176], [2952, 8920], [7307, 7844], [10949, 11033], [9767, 10124], [7355, 10544], [3465, 3843], [2573, 5891], [3815, 5353], [1167, 3776], [8479, 11448], [3190, 5301], [2341, 9705], [2134, 6194], [251, 6177], [4867, 7320], [7754, 11165], [9629, 9786], [899, 11316], [8249, 8892], [30, 2236], [2891, 4860], [88, 1460], [9839, 10535], [1245, 4756], [2766, 9295], [2391, 3002], [4071, 8325], [3663, 6056], [6970, 10652], [6836, 7454], [1177, 6692], [3532, 4260], [913, 1169], [6826, 10149], [2251, 2591], [1597, 1801], [132, 11157], [3210, 11564], [5858, 6725], [5889, 6038], [127, 4397], [8934, 11223], [5818, 7326], [3149, 7124], [379, 4618], [5852, 6910], [3240, 7242], [4261, 10677], [3139, 3403], [2951, 10522], [2431, 8012], [6249, 6731], [337, 1359], [2239, 11225], [4758, 8450], [2705, 10466], [5198, 8722], [3885, 8296], [5225, 10545], [1137, 9521], [2642, 9363], [7863, 10653], [8792, 11116], [237, 10927], [1691, 3664], [3931, 7890], [753, 9531], [2532, 8444], [3526, 3640], [2440, 8855], [4336, 9107], [3462, 8351], [757, 3988], [2873, 7956], [5878, 7326], [4516, 4729], [2736, 5591], [4790, 8681], [624, 10410], [7057, 10566], [2824, 11073], [1174, 4434], [1676, 9748], [1977, 6478], [6813, 11337], [3907, 5560], [4399, 5268], [3447, 7265], [856, 2058], [6611, 9698], [1226, 1591], [1232, 11205], [3443, 10529], [1542, 3517], [1411, 7006], [2443, 10600], [7393, 10865], [2314, 8500], [11094, 11251], [4179, 6433], [6073, 10022], [68, 8623], [2963, 10077], [4675, 7768], [1621, 4749], [5182, 9262], [4791, 8882], [1685, 5673], [434, 9131], [8689, 9028], [9429, 9592], [736, 801], [5130, 5315], [7435, 9936], [1896, 9276], [5284, 9165], [1426, 4631], [1671, 3681], [8682, 8961], [3844, 6685], [4192, 7368], [517, 1787], [1940, 5791], [6425, 10423], [5031, 11321], [2188, 2860], [3495, 9133], [564, 4235], [6885, 8314], [8569, 10373], [868, 4646], [9457, 10835], [439, 8670], [7010, 7262], [9714, 11400], [3455, 6701], [2990, 10314], [306, 412], [4015, 11239], [6286, 10614], [8990, 9090], [5217, 7138], [4666, 9479], [7807, 7956], [6332, 9454], [1165, 4990], [9446, 9491], [5857, 10100], [6920, 9597], [1034, 3194], [10583, 10657], [1694, 11346], [445, 9215], [228, 4262], [5978, 11558], [3330, 9981], [8075, 9060], [1525, 9847], [1913, 9929], [1029, 5479], [1557, 7850], [3699, 5125], [2303, 9360], [808, 3790], [618, 10082], [404, 9564], [5903, 5907], [3814, 6014], [6563, 8397], [7184, 10959], [1422, 2148], [5351, 8777], [492, 2214], [5065, 8191], [6653, 10542], [7520, 10127], [4058, 5593], [978, 8523], [802, 6577], [5065, 5158], [320, 6079], [4815, 11399], [1295, 3477], [4304, 5999], [8443, 9994], [5862, 9639], [4468, 10537], [7348, 10959], [192, 10216], [724, 1409], [2561, 10126], [7786, 8152], [4730, 11476], [6166, 7017], [1224, 11531], [4385, 7277], [7556, 8629], [4756, 9664], [4453, 9855], [9370, 9980], [3701, 8530], [6710, 6888], [7346, 10482], [3115, 7652], [10450, 10612], [2762, 10008], [3877, 9695], [3639, 10281], [3906, 8181], [4248, 11328], [4191, 10794], [609, 1994], [4817, 8038], [2938, 11173], [9538, 10503], [5648, 7966], [9443, 11397], [1912, 4361], [5952, 8377], [1509, 7354], [953, 9351], [7290, 9799], [3788, 6590], [7912, 8799], [5978, 6565], [781, 3390], [2936, 5034], [4298, 8762], [937, 11450], [189, 445], [1209, 2524], [3392, 6216], [7368, 8527], [3043, 5281], [2767, 9547], [1322, 9756], [2884, 4470], [4090, 9937], [1074, 3238], [4346, 7648], [7026, 11392], [5653, 7505], [6181, 9876], [3815, 11395], [1038, 6964], [9, 2887], [4406, 11082], [1220, 2282], [4554, 5318], [409, 10176], [6923, 7480], [5512, 6519], [4460, 4902], [2712, 5302], [2435, 2550], [408, 3535], [1686, 11322], [5353, 5708], [9686, 9946], [7850, 10499], [1217, 9531], [3548, 8957], [1860, 9408], [3862, 10810], [5887, 5992], [6071, 8553], [2771, 2849], [2050, 2335], [4980, 7762], [1833, 4552], [7440, 9288], [8185, 10196], [1432, 10624], [6096, 10303], [3689, 11067], [516, 7390], [7460, 10694], [2355, 6354], [7515, 10401], [3757, 9481], [2415, 11323], [6797, 7906], [5554, 8973], [9261, 10305], [8292, 10443], [603, 6985], [1015, 10871], [3341, 10707], [786, 9321], [2219, 7597], [10054, 10880], [5327, 10098], [687, 2145], [3675, 6796], [4480, 11165], [8470, 9402], [1089, 6097], [1797, 11287], [2464, 3614], [9427, 11132], [9810, 10870], [2849, 9871], [5168, 6254], [743, 2427], [4815, 10862], [9987, 10008], [235, 7124], [10697, 11107], [10296, 10763], [1896, 7479], [6775, 9032], [3444, 4015], [3347, 10498], [7452, 8493], [3844, 4888], [1574, 9121], [8847, 10449], [6199, 8872], [4122, 6330], [6898, 10536], [4400, 6274], [2784, 8291], [2371, 6432], [137, 10322], [6818, 8328], [6857, 7502], [90, 9752], [1463, 7977], [4820, 7799], [4444, 8451], [3389, 9569], [3239, 5838], [4020, 6403], [3731, 6300], [5657, 7892], [8062, 10465], [2565, 2891], [6067, 9453], [4978, 5325], [4713, 9780], [4246, 4652], [9488, 10953], [319, 8649], [422, 5364], [1379, 1459], [9979, 11190], [201, 10091], [9258, 11430], [814, 2212], [2726, 10514], [5510, 10474], [4863, 6691], [1840, 5991], [2719, 2927], [5109, 10130], [1599, 2896], [637, 10621], [5664, 7908], [1068, 6643], [7343, 9623], [6730, 11086], [2515, 8789], [4200, 7286], [1713, 10730], [906, 4780], [4918, 6748], [7657, 8443], [2232, 2435], [2229, 8553], [6335, 10156], [5619, 7734], [3413, 7256], [5467, 10346], [3879, 8749], [512, 7485], [4471, 6409], [9295, 9753], [4190, 10331], [2494, 6757], [6652, 8520], [2313, 4467], [1729, 10832], [359, 10626], [44, 2886], [1349, 8332], [7657, 10671], [394, 8553], [7940, 10205], [672, 4333], [3910, 6907], [2320, 3729], [4200, 9864], [776, 2404], [1882, 4257], [2408, 3549], [3846, 8585], [5783, 8838], [1294, 6716], [1067, 7491], [206, 9606], [4380, 5486], [4065, 4162], [321, 2948], [966, 4406], [6392, 6852], [258, 2599], [5416, 5819], [9367, 9763], [292, 11228], [5227, 6297], [727, 11156], [244, 7804], [4972, 5024], [3831, 4116], [5387, 6929], [9831, 11560], [339, 1625], [5882, 11072], [4139, 7652], [3540, 7323], [1487, 2923], [4195, 8715], [1203, 3164], [4348, 9711], [6084, 7796], [1227, 1306], [3595, 10413], [4493, 11563], [598, 1512], [1134, 2246], [8227, 10554], [1560, 10756], [10159, 10463], [1281, 4925], [2065, 9171], [310, 8400], [2463, 9217], [6816, 11478], [3803, 11466], [1334, 11352], [2774, 10799], [5534, 6201], [1160, 3817], [413, 8498], [1468, 8134], [8037, 11561], [2279, 10039], [2768, 6820], [372, 5464], [430, 9606], [6285, 8028], [2352, 8073], [5992, 10435], [448, 7179], [1478, 4284], [1543, 8843], [4891, 5169], [2481, 6359], [446, 3319], [6729, 11078], [6773, 11350], [1002, 11121], [1193, 2021], [6917, 7342], [449, 11137], [33, 4843], [4365, 6227], [1906, 7555], [1116, 9156], [679, 2739], [7256, 10191], [1709, 4008], [5506, 10518], [678, 2514], [2047, 3249], [1179, 10609], [2232, 8664], [4465, 5303], [4163, 11354], [2257, 3998], [7771, 8543], [395, 3330], [4293, 9892], [7638, 8953], [9824, 9910], [6646, 11551], [11274, 11573], [823, 4716], [2248, 3131], [3180, 3865], [2128, 7910], [3053, 7473], [8414, 8770], [33, 4038], [6041, 9118], [4425, 5473], [7405, 9509], [5729, 8065], [4516, 5591], [3707, 9394], [5075, 7275], [6795, 11243], [1551, 8279], [6189, 8989], [4642, 7393], [5356, 5982], [7118, 9452], [2610, 3870], [2019, 6812], [7683, 8672], [5255, 9313], [3133, 7028], [2670, 5052], [7835, 9443], [10142, 10727], [1582, 10194], [2384, 4466], [3077, 9348], [297, 1236], [10298, 11240], [8731, 9766], [4429, 8224], [6703, 7116], [6137, 8425], [3437, 6658], [5114, 5294], [8159, 10479], [1034, 9049], [3797, 8132], [199, 5215], [8077, 11578], [3647, 5155], [340, 11112], [1907, 5416], [1217, 4969], [10704, 11554], [2366, 3486], [60, 5056], [163, 2525], [2768, 7438], [1750, 11067], [3075, 11530], [1590, 6648], [147, 1268], [3166, 7484], [6834, 8888], [4325, 10853], [1362, 10204], [10567, 11441], [3607, 8358], [142, 143], [7735, 11440], [144, 4353], [5436, 10017], [1546, 7480], [1943, 3918], [5499, 8087], [3257, 7198], [7168, 8360], [4807, 6059], [1386, 2280], [252, 10487], [8347, 8971], [9158, 10876], [7296, 10208], [3775, 9231], [6595, 8848], [5129, 8180], [1658, 7290], [7188, 10116], [309, 791], [1109, 5570], [364, 5416], [5102, 9740], [6380, 11111], [5069, 7348], [3973, 5459], [2333, 3672], [3258, 6645], [6809, 10470], [7462, 11035], [6645, 8561], [8148, 8330], [1665, 10339], [1412, 5729], [10818, 11386], [8103, 8587], [2385, 6464], [7858, 8756], [2997, 11192], [3563, 7631], [7511, 7894], [2215, 11156], [8877, 11364], [9648, 10487], [4835, 10685], [6177, 9597], [1372, 3297], [5630, 8704], [3737, 8723], [1056, 11170], [65, 407], [4474, 5983], [5110, 9577], [2139, 9067], [4831, 10916], [3513, 10146], [6410, 8263], [6348, 7385], [5994, 6887], [8854, 9286], [2885, 9796], [2949, 5085], [2257, 10227], [3692, 5166], [6995, 8135], [4223, 8966], [1817, 2758], [8040, 9712], [9225, 10892], [2033, 7486], [5049, 7769], [3029, 9925], [262, 6936], [4589, 9474], [5019, 9058], [7950, 10169], [10, 2928], [5118, 6785], [4514, 7610], [787, 6003], [6812, 8808], [1159, 4828], [4638, 6333], [622, 1213], [5226, 6503], [842, 2677], [3328, 6178], [3675, 10423], [6882, 7268], [30, 11100], [2174, 4284], [3010, 10972], [3237, 3781], [1640, 3596], [4718, 4757], [5538, 10912], [3785, 10968], [2665, 10937], [208, 2512], [2577, 4674], [2422, 7769], [6558, 11493], [7142, 7757], [1605, 8678], [5557, 5677], [2434, 7779], [1782, 2898], [7856, 10483], [8570, 9072], [7508, 9019], [5512, 11569], [5632, 10173], [4326, 6754], [6098, 9414], [657, 9289], [9673, 10627], [8227, 11335], [5504, 7894], [1211, 9848], [6958, 11211], [361, 4982], [4127, 9927], [6996, 10914], [3624, 5142], [7457, 11309], [9606, 9755], [4403, 9044], [3725, 5948], [6808, 10863], [4528, 7992], [5147, 9727], [9727, 11213], [3877, 6719], [670, 3458], [4337, 7643], [1689, 6066], [978, 11158], [8729, 9078], [1162, 7303], [4579, 7176], [5929, 10113], [1127, 10500], [532, 6907], [4204, 11436], [2423, 3028], [10266, 10336], [3609, 11226], [589, 10043], [840, 7410], [4785, 7402], [490, 615], [2320, 8161], [300, 6907], [768, 2057], [1540, 11204], [296, 3001], [1760, 7006], [1099, 11461], [1381, 10393], [1412, 5542], [6642, 8076], [6538, 6972], [4001, 6889], [3177, 9660], [7077, 11387], [2707, 11431], [7135, 8359], [34, 907], [624, 8320], [3327, 10358], [6443, 7085], [4366, 8707], [4118, 5195], [5292, 5489], [1623, 3860], [2058, 10204], [5788, 9076], [1807, 9804], [453, 2961], [4814, 11499], [2543, 6462], [7028, 10340], [3687, 4635], [304, 2838], [5063, 6541], [5961, 7691], [367, 7324], [1105, 4055], [229, 7390], [2975, 3086], [3537, 10703], [6646, 11177], [1505, 4928], [4648, 6484], [4340, 6331], [1071, 2192], [7357, 9468], [2646, 2803], [5424, 10088], [6138, 8677], [6225, 11305], [7095, 10407], [4861, 7881], [4141, 8723], [4669, 11094], [4597, 9528], [1077, 1606], [5197, 11213], [3695, 4472], [3540, 7567], [5589, 8061], [743, 5867], [8205, 10100], [8637, 10511], [6462, 10844], [3470, 5293], [3162, 11556], [6643, 9724], [6590, 9309], [5148, 6783], [6829, 9325], [3496, 7645], [1414, 4759], [3152, 3671], [1854, 5031], [3406, 4719], [2874, 11274], [9417, 10070], [8070, 10814], [976, 4533], [1000, 9091], [9229, 10019], [1436, 5457], [5331, 6840], [4830, 8544], [1533, 2357], [7878, 10994], [5849, 11152], [2604, 5155], [4037, 9847], [10513, 11585], [1803, 7321], [1185, 8440], [9917, 10019], [5249, 6434], [5094, 9529], [7895, 11348], [3752, 10617], [10111, 11016], [6093, 10731], [732, 7182], [2910, 6366], [4842, 5521], [2634, 10632], [506, 5149], [3339, 5725], [603, 8465], [1229, 11371], [567, 1638], [14, 8070], [1607, 3595], [7954, 8895], [2039, 4006], [912, 2804], [5359, 11116], [11114, 11586], [2778, 4345], [10596, 10657], [5923, 6728], [3929, 5941], [3175, 7199], [1406, 9728], [5673, 5799], [2906, 9226], [848, 10898], [1306, 5360], [478, 9867], [222, 5740], [5863, 11558], [5347, 5814], [1062, 6131], [3085, 7656], [6438, 10742], [6071, 9228], [5412, 10346], [3452, 6137], [7469, 8449], [8117, 9424], [1923, 5120], [629, 8881], [8008, 11359], [860, 8225], [5741, 6441], [1154, 7948], [6021, 8710], [1214, 8753], [3487, 4037], [1537, 7686], [11022, 11192], [3520, 9812], [1279, 10279], [4753, 11440], [2769, 4925], [3433, 4151], [1375, 9987], [1580, 7009], [1270, 8281], [2990, 9997], [6254, 7376], [2802, 10700], [459, 3343], [2766, 8791], [1145, 10464], [149, 2363], [1673, 6419], [490, 6039], [579, 4576], [3871, 9638], [4277, 8828], [918, 8179], [3375, 3772], [1195, 3761], [7454, 9214], [5181, 6760], [131, 629], [4236, 5040], [3217, 5815], [3246, 4301], [6848, 10343], [4040, 11517], [4198, 5687], [4633, 5615], [5622, 6883], [6251, 9306], [19, 2266], [3752, 11235], [7021, 8958], [5661, 9440], [6922, 8198], [1853, 4269], [613, 9771], [1663, 1893], [4964, 11205], [9873, 10715], [2321, 9972], [2756, 9900], [6899, 10631], [4497, 6077], [2707, 6251], [7039, 9887], [6987, 9697], [7469, 8717], [3056, 9788], [4570, 6740], [2577, 9561], [1625, 5142], [7124, 8655], [2542, 4090], [1544, 5742], [2363, 2627], [802, 5105], [2269, 6375], [1336, 8422], [460, 4587], [489, 3073], [7271, 8301], [7259, 10950], [3933, 5523], [3186, 10958], [7236, 9246], [4094, 10544], [5610, 11329], [173, 2278], [3965, 8444], [5303, 9866], [134, 2323], [1259, 6862], [3833, 5292], [479, 9151], [10145, 11537], [5416, 10682], [2124, 9003], [3646, 5816], [11053, 11096], [6636, 11294], [6631, 10950], [62, 6769], [331, 5496], [2423, 2654], [8959, 10105], [1464, 9896], [1298, 1498], [1196, 1221], [8518, 9581], [7326, 7984], [8827, 11090], [6251, 11079], [3691, 5185], [4534, 6628], [4087, 5939], [1167, 6118], [6557, 8153], [1191, 10676], [2971, 6027], [7637, 8785], [137, 8232], [507, 595], [1131, 2674], [1062, 11205], [1530, 7109], [4869, 6325], [573, 2346], [10252, 11353], [538, 5543], [3497, 8702], [1183, 6247], [1740, 7858], [3584, 11330], [465, 3752], [2049, 2197], [3301, 8763], [2241, 8783], [6155, 10216], [2394, 3363], [1991, 8608], [1614, 5652], [7684, 8200], [2453, 10359], [4447, 6228], [3263, 9410], [2549, 3651], [2638, 9358], [5475, 7424], [4064, 4211], [3199, 11088], [4465, 7938], [5586, 10823], [6978, 9098], [688, 7715], [4986, 6105], [282, 611], [2119, 10082], [5075, 9560], [2272, 6160], [2872, 8599], [3457, 5088], [5848, 8729], [5843, 8385], [9829, 11384], [3165, 3933], [3550, 4498], [10107, 10574], [1485, 2747], [1357, 3501], [677, 10158], [1136, 1812], [1796, 9964], [1129, 4805], [738, 5149], [2908, 3718], [8759, 11066], [6743, 9931], [1414, 4385], [3518, 4586], [1713, 4452], [5429, 5870], [6069, 6230], [1676, 5324], [8616, 11138], [6315, 6636], [7994, 8351], [8460, 9844], [1407, 9980], [5280, 8406], [1271, 4457], [1645, 5607], [740, 7450], [7591, 10563], [4661, 5890], [5719, 9207], [2885, 10658], [4542, 8642], [927, 9528], [2635, 9729], [6625, 7966], [1882, 8933], [4068, 11388], [976, 6387], [4377, 6481], [3400, 6004], [8410, 9326], [3403, 6275], [566, 1793], [784, 3184], [2036, 9750], [9257, 10888], [3885, 8678], [1275, 6804], [10084, 10293], [4700, 5040], [6651, 11415], [6214, 11414], [7530, 8351], [861, 4720], [7027, 7730], [4757, 11209], [516, 7691], [177, 1809], [5813, 7283], [3628, 7682], [206, 295], [8879, 11093], [3600, 5634], [481, 2220], [8980, 11145], [269, 11197], [5031, 7247], [2101, 2574], [229, 1218], [3248, 4428], [9266, 10950], [3471, 10327], [4237, 5696], [2375, 5028], [6509, 7925], [6789, 10194], [1627, 10238], [4084, 8083], [3585, 4952], [1754, 5849], [687, 2446], [7665, 10996], [7532, 11406], [3387, 9848], [5135, 7196], [2800, 10280], [2143, 5809], [6824, 9599], [2795, 3520], [4665, 4803], [5200, 5339], [9422, 11089], [3983, 8381], [7563, 9938], [5820, 10682], [4982, 9583], [6128, 8583], [7619, 11001], [1457, 11116], [4471, 8320], [4226, 7735], [2344, 5691], [6329, 8465], [5147, 7556], [5395, 11041], [306, 4982], [3549, 3736], [4478, 11369], [2859, 3289], [6012, 9697], [441, 4618], [8682, 9343], [2419, 6400], [4762, 7341], [1996, 7960], [6504, 7126], [733, 6897], [8554, 10474], [3793, 4446], [1138, 1698], [3407, 6662], [8897, 10813], [8040, 11192], [5120, 7961], [10472, 11424], [5625, 6376], [1850, 10013], [4279, 10728], [2629, 7499], [6331, 10739], [3750, 10384], [8633, 9427], [6324, 7316], [1244, 4726], [4296, 11082], [5791, 10236], [2487, 7042], [809, 8935], [2464, 5338], [6129, 10231], [8831, 11290], [1835, 6298], [1523, 10907], [1893, 9686], [6432, 11171], [4011, 8065], [1607, 2684], [5430, 8917], [2574, 10020], [1328, 7406], [5710, 8153], [2842, 4358], [7265, 7358], [9847, 10567], [7421, 7871], [415, 7853], [3122, 10010], [1219, 9341], [3212, 5739], [2618, 11416], [1374, 9629], [1503, 6067], [6816, 10356], [2148, 6771], [54, 2370], [2335, 2433], [4355, 4441], [4845, 8240], [340, 6339], [1204, 1489], [1014, 7781], [243, 6406], [1925, 7638], [2885, 9666], [9760, 10921], [3445, 7788], [1502, 7720], [10782, 10794], [7415, 10284], [2750, 10380], [1967, 2572], [478, 11534], [4797, 7014], [561, 10256], [8874, 10131], [4920, 11551], [252, 5714], [1492, 4349], [8990, 11245], [2508, 9692], [1450, 4123], [4507, 10823], [7053, 7959], [5344, 7533], [10067, 10825], [3718, 9616], [5096, 8185], [3227, 5592], [2010, 6382], [6834, 9726], [3159, 4899], [1072, 1669], [8568, 11148], [8881, 10147], [388, 10836], [9662, 9958], [1811, 2008], [1910, 5397], [3431, 6526], [760, 3245], [755, 2901], [4710, 10751], [1971, 2640], [9983, 11477], [5382, 9114], [6075, 7580], [3952, 8857], [953, 5545], [5068, 11398], [219, 8933], [3206, 4314], [2428, 7430], [143, 9877], [6815, 10773], [3816, 8215], [3503, 3554], [2735, 8112], [85, 3456], [1518, 1732], [1232, 7562], [1199, 11586], [5934, 9977], [232, 6135], [3710, 7415], [3620, 10905], [1970, 2014], [8506, 9465], [567, 11494], [4001, 7564], [1250, 2856], [6977, 8448], [7156, 9911], [841, 1116], [314, 8769], [2776, 6958], [441, 10042], [10048, 11067], [1361, 9261], [2082, 2605], [1089, 4601], [1345, 8728], [2059, 7317], [5096, 6225], [2757, 5403], [6688, 8695], [1772, 11424], [9260, 11216], [6376, 6888], [4473, 5465], [4812, 9849], [3069, 6429], [1978, 11300], [1166, 9170], [5431, 11584], [9942, 11021], [8075, 9255], [4183, 5891], [2090, 2092], [4801, 8155], [265, 11105], [2994, 7194], [4207, 7416], [6072, 8355], [8167, 9194], [168, 11172], [569, 11516], [1255, 2395], [2368, 7671], [4761, 7975], [1989, 8806], [3895, 8992], [3678, 4793], [8220, 9205], [207, 2425], [4604, 11374], [2515, 11481], [3661, 6317], [5259, 6350], [8024, 9266], [5374, 6862], [1800, 8503], [4878, 8910], [10198, 10960], [6934, 11329], [1573, 2862], [3252, 4577], [6806, 11329], [5646, 8489], [3748, 11574], [6807, 8521], [1641, 11075], [511, 3940], [1357, 4900], [127, 6983], [4244, 6493], [2282, 7873], [3813, 9690], [783, 5567], [8260, 10832], [1029, 1836], [1648, 10741], [7134, 10986], [3273, 9187], [1895, 4202], [8345, 10381], [5795, 5929], [1769, 5783], [1363, 4341], [5698, 5996], [5258, 11359], [3362, 4691], [1117, 5039], [7113, 8604], [6966, 11560], [4031, 10707], [7145, 7361], [5466, 9029], [2821, 4717], [1107, 6199], [3870, 6036], [7447, 8076], [2598, 8617], [6051, 8901], [5180, 9574], [2993, 9146], [2659, 3608], [234, 10182], [1158, 10301], [103, 4249], [5261, 7469], [2929, 8572], [2833, 11493], [5813, 11365], [1060, 9362], [2232, 9583], [1332, 7606], [9737, 11234], [272, 8380], [654, 8674], [4692, 5447], [3642, 6909], [108, 7225], [7062, 11217], [1766, 8063], [419, 8807], [2602, 8335], [8460, 10438], [2322, 8695], [9533, 9899], [2594, 4687], [1790, 9588], [3433, 10892], [973, 2950], [2719, 5887], [7167, 8385], [7072, 11531], [1903, 3234], [1488, 11128], [4070, 7921], [5350, 5955], [5263, 10874], [617, 11020], [216, 10676], [2864, 5837], [4502, 7551], [2883, 3635], [3920, 8327], [3299, 5765], [181, 5205], [269, 1642], [6312, 9160], [1973, 4353], [13, 2396], [4844, 7665], [11468, 11553], [2478, 9184], [386, 5610], [8135, 9873], [4470, 9144], [5267, 10242], [1321, 10025], [8881, 11383], [8757, 8873], [3339, 11206], [83, 11436], [3156, 11499], [3691, 8625], [7322, 10901], [4555, 7912], [3056, 4852], [5193, 7445], [5232, 7373], [1594, 11473], [935, 6175], [5688, 10807], [4661, 7557], [549, 6139], [559, 6827], [3823, 10622], [1087, 6946], [4215, 7470], [1207, 7802], [1233, 6771], [8521, 9885], [4261, 7815], [2234, 11052], [553, 6258], [3979, 4719], [3450, 5129], [10695, 10825], [9640, 9691], [483, 4738], [1487, 7038], [7583, 8555], [6955, 8232], [916, 1587], [5924, 7492], [6015, 7610], [886, 2876], [4285, 8559], [1033, 5555], [10557, 11241], [5830, 10459], [7251, 11384], [90, 10297], [1057, 2916], [8691, 10831], [3793, 4340], [8066, 10779], [4888, 6758], [2081, 4370], [5439, 7046], [1774, 2907], [4380, 10674], [1887, 6756], [1978, 6120], [2879, 4535], [974, 7203], [2505, 2604], [1942, 9846], [1388, 6254], [879, 3933], [4779, 5660], [1319, 4205], [5773, 6518], [3402, 9945], [859, 6664], [3068, 10823], [6855, 10229], [35, 3019], [2032, 9739], [1065, 6540], [4799, 9695], [4057, 9058], [289, 7450], [248, 7449], [2338, 3780], [2331, 6773], [1584, 5792], [4171, 9345], [2586, 11429], [2030, 9262], [1870, 4843], [1185, 11156], [1149, 5083], [8372, 11185], [2145, 10905], [6371, 6975], [1856, 10802], [1049, 9016], [8547, 9496], [338, 3528], [2721, 9560], [10666, 10729], [7710, 8999], [8398, 9373], [3751, 4413], [3028, 3072], [3993, 10362], [8012, 9337], [8199, 9163], [3927, 5578], [8720, 10363], [4207, 7847], [2958, 5716], [1091, 11120], [5800, 10542], [638, 9832], [287, 2435], [6109, 11297], [1252, 5561], [3239, 10839], [4739, 11091], [4138, 9181], [5105, 5964], [4053, 10763], [645, 3082], [211, 346], [597, 10181], [5537, 5594], [9642, 10005], [6448, 11113], [4134, 8658], [2303, 7303], [5905, 6929], [5566, 7463], [772, 5459], [1814, 9771], [828, 6522], [5890, 9280], [6456, 7971], [8257, 8363], [2064, 6913], [4680, 9706], [2397, 2400], [2094, 2591], [1994, 5393], [7291, 11401], [1092, 6753], [1873, 7318], [4734, 9942], [4637, 10009], [4673, 5502], [5796, 9214], [6288, 9676], [5352, 5790], [2738, 9459], [10391, 11008], [6437, 6766], [614, 6347], [6255, 10667], [338, 4951], [2760, 3741], [6237, 8583], [72, 9181], [366, 3212], [6269, 11504], [9725, 11305], [7822, 9882], [10597, 11234], [3622, 6365], [1980, 10167], [6020, 7767], [566, 3273], [2035, 7622], [8470, 8605], [1820, 5748], [2664, 10799], [7540, 7917], [4393, 5461], [3498, 7992], [4883, 9260], [688, 7585], [215, 5675], [7940, 8790], [5978, 10924], [708, 2575], [747, 1749], [5537, 7017], [3135, 8879], [5822, 9630], [2085, 7335], [1739, 6698], [5228, 8891], [156, 5445], [1145, 5959], [3442, 6555], [1867, 5163], [2832, 8289], [1700, 6743], [1118, 7519], [3578, 9799], [3265, 4384], [9541, 10972], [8333, 8842], [6029, 7075], [5645, 10118], [6768, 7414], [4529, 10960], [2559, 8315], [2168, 8659], [9969, 10860], [1810, 10671], [1535, 2330], [3212, 9634], [6610, 10211], [478, 6785], [913, 5959], [5610, 8784], [1279, 8002], [3577, 5036], [411, 1776], [4578, 7819], [6374, 10119], [3483, 11036], [2863, 9830], [2918, 9537], [7308, 10145], [10823, 11307], [2724, 3255], [2390, 4133], [546, 3290], [2070, 8100], [1910, 10097], [6705, 9293], [2319, 8804], [566, 4696], [5151, 6526], [7694, 9807], [6771, 11044], [544, 10764], [3581, 4754], [4706, 5129], [1688, 8937], [2130, 5118], [4203, 10170], [745, 3126], [1565, 3619], [2341, 3086], [1434, 10518], [4546, 10509], [2314, 11062], [5922, 8251], [2582, 9564], [3239, 7619], [2494, 7465], [959, 4748], [1934, 7808], [8240, 10855], [1712, 3265], [4974, 6233], [2199, 2629], [3545, 8830], [3980, 8004], [3285, 7213], [2703, 7989], [1946, 8572], [3971, 10924], [3592, 7895], [139, 5359], [8177, 8971], [1852, 5904], [73, 6991], [8608, 9157], [6674, 6923], [1321, 9651], [2790, 3420], [3065, 5345], [2311, 7357], [3620, 9539], [8818, 9906], [6049, 10254], [3143, 3723], [5233, 6470], [5890, 9443], [1867, 2398], [7242, 8319], [5853, 9561], [3521, 6500], [7490, 11050], [809, 966], [7868, 10444], [1834, 7553], [273, 10031], [2319, 6844], [3203, 4124], [5130, 10105], [3635, 10951], [273, 3615], [1446, 6690], [1518, 2594], [2147, 11433], [5991, 11373], [4532, 5460], [8864, 9096], [1729, 2814], [8919, 9557], [6424, 8222], [388, 7510], [3132, 8795], [10345, 10826], [3507, 8672], [5276, 6897], [10157, 10775], [2749, 3395], [9999, 10189], [126, 2814], [4996, 7257], [2645, 5674], [8281, 11148], [602, 8378], [159, 7808], [8527, 11554], [4702, 9412], [1855, 4242], [7470, 9593], [9139, 9866], [1341, 5684], [522, 8799], [8834, 9984], [7939, 8351], [1554, 6731], [4407, 9494], [365, 8815], [7897, 8125], [4406, 5105], [734, 10375], [5188, 6272], [2827, 11141], [5649, 7421], [2946, 6137], [4491, 4654], [10280, 11124], [3465, 4258], [3162, 4449], [2188, 6495], [2439, 10278], [918, 3487], [9503, 11432], [1282, 10365], [4176, 8965], [7564, 8854], [5394, 9531], [1039, 11361], [2438, 3637], [351, 407], [44, 10278], [10961, 11458], [789, 4016], [214, 7491], [819, 6110], [2395, 10356], [1500, 6471], [7943, 8069], [10921, 11278], [5561, 10583], [220, 8410], [591, 10043], [3137, 4927], [6189, 7119], [1731, 5064], [4809, 5471], [2546, 4459], [367, 8056], [2848, 10459], [694, 10171], [3928, 4675], [2496, 10007], [9137, 9338], [3875, 11430], [3710, 6667], [4742, 11015], [5234, 11477], [1276, 9745], [9505, 10673], [4822, 6056], [3426, 10291], [1965, 10721], [3137, 3772], [929, 8883], [499, 3637], [7069, 10672], [116, 9534], [1769, 10028], [8245, 11012], [6192, 6612], [216, 10115], [9206, 10232], [2604, 10075], [307, 10233], [5775, 7263], [3237, 4326], [3383, 9813], [7050, 8363], [3910, 7078], [5275, 10323], [4590, 6056], [9020, 10227], [5708, 9424], [4125, 8171], [2595, 3546], [1225, 9002], [4678, 9286], [1376, 9171], [4526, 5482], [3461, 5158], [3244, 7375], [7504, 8691], [3338, 10420], [6392, 7023], [186, 450], [5791, 11529], [3609, 9193], [6193, 9065], [2832, 5337], [6228, 8497], [590, 2196], [8535, 9781], [6510, 8183], [3110, 4527], [6654, 10591], [4288, 7946], [8948, 10889], [987, 2771], [10109, 10921], [80, 10203], [2609, 9614], [6675, 8435], [1167, 7842], [2293, 11071], [2480, 10897], [481, 7514], [3282, 5923], [6520, 8497], [2879, 8162], [7700, 8579], [7925, 11141], [2683, 4840], [5277, 9564], [5826, 6396], [7, 7631], [8360, 11069], [10409, 11563], [2868, 3839], [3673, 8962], [9039, 10603], [3430, 9204], [7105, 8369], [288, 7092], [3302, 3542], [10115, 10335], [339, 7057], [3334, 6463], [5443, 7008], [3397, 3779], [8304, 9632], [843, 1837], [10397, 10398], [4542, 5560], [4943, 9287], [1703, 10050], [9979, 10824], [8666, 11152], [5491, 5894], [3065, 3198], [1198, 2186], [7426, 9484], [5215, 10914], [1939, 3352], [2374, 2526], [4467, 9708], [3586, 5529], [8751, 9920], [9933, 10829], [4181, 6870], [4709, 9241], [9688, 10244], [5859, 11366], [746, 749], [7964, 8005], [8970, 11132], [459, 692], [2456, 7412], [3679, 8322], [5154, 6100], [2495, 10750], [6012, 8575], [5103, 8764], [8613, 9582], [4413, 8317], [681, 2202], [2331, 3179], [6868, 10253], [868, 8444], [4913, 6388], [1864, 4467], [797, 9732], [4226, 5458], [7428, 8375], [678, 6068], [5275, 10941], [3848, 10201], [9944, 10964], [6210, 11192], [3249, 4954], [6084, 6357], [6700, 8575], [4282, 9904], [4743, 10299], [10, 6319], [4831, 6736], [1439, 1443], [2311, 7788], [2612, 4518], [1596, 8974], [1620, 9368], [4772, 6506], [3712, 6526], [7003, 8734], [3488, 5320], [11077, 11580], [1245, 7212], [6188, 6306], [580, 7761], [6192, 6425], [3668, 7358], [1292, 3271], [8430, 9824], [1818, 9733], [6059, 6835], [5780, 7420], [4314, 6752], [135, 4112], [2288, 11345], [6992, 8171], [9134, 11108], [8481, 9762], [6681, 9972], [2775, 8430], [9717, 10907], [3099, 10217], [6848, 6887], [1146, 3045], [1834, 6829], [3093, 10402], [5541, 10413], [6322, 10978], [2458, 3246], [582, 4400], [370, 6207], [5819, 10357], [1650, 4241], [2393, 7732], [3198, 6439], [2869, 7661], [3301, 8072], [1367, 11500], [8175, 10779], [1243, 3328], [644, 8661], [1172, 4616], [1118, 7763], [4352, 8683], [3091, 9201], [7948, 9275], [4038, 10967], [8386, 8720], [6858, 10584], [1298, 9801], [2130, 6167], [2161, 5480], [6015, 6862], [4888, 5660], [499, 1490], [6720, 7617], [6663, 7083], [2867, 9843], [8911, 11170], [6877, 10984], [1958, 4370], [8413, 10893], [3494, 9941], [1835, 9632], [5130, 8576], [5634, 6389], [7461, 8002], [5224, 8211], [6370, 6457], [4231, 7201], [1577, 8061], [398, 10833], [6380, 11282], [981, 6495], [3379, 7897], [8148, 11534], [1513, 7487], [4457, 5450], [2440, 7123], [17, 10360], [6433, 11293], [5079, 10866], [1414, 6727], [6883, 11529], [2987, 4259], [5478, 8104], [1928, 7887], [90, 5361], [7068, 7495], [1247, 7903], [4707, 5194], [120, 7455], [2486, 3684], [6652, 11000], [7894, 10462], [2600, 3971], [1398, 11455], [7119, 10816], [457, 4192], [5861, 10097], [1733, 11152], [49, 2677], [3151, 7642], [2747, 3617], [1759, 3705], [358, 9848], [6802, 8665], [5620, 7756], [3343, 7812], [325, 1040], [3036, 7103], [7296, 8419], [5522, 7598], [3459, 8926], [2246, 2288], [7570, 10873], [7606, 10530], [784, 8909], [3236, 6410], [1061, 1081], [1333, 3489], [684, 5295], [4512, 11118], [8029, 8943], [6933, 7054], [2048, 5686], [626, 10952], [712, 10726], [6094, 6484], [2398, 6442], [6310, 7048], [1248, 4290], [7366, 9538], [1886, 3823], [21, 9273], [2260, 6858], [9166, 9678], [1501, 4362], [2975, 9055], [291, 7821], [3056, 3567], [2311, 3413], [5079, 9256], [5433, 10508], [4394, 9153], [2959, 3634], [4180, 4471], [5826, 10210], [7006, 8040], [3542, 6843], [4266, 6874], [2953, 9454], [5014, 11463], [4021, 7043], [1358, 3680], [6543, 9447], [5573, 6731], [5595, 10462], [2200, 7904], [2946, 9414], [3471, 5098], [6815, 11074], [2194, 7335], [3424, 6006], [334, 3330], [711, 3280], [6426, 7357], [703, 9054], [5092, 6808], [4097, 7977], [2094, 7104], [3936, 4087], [601, 7996], [5577, 9482], [258, 4624], [5665, 8548], [873, 9623], [7690, 10900], [98, 10004], [1122, 3911], [8661, 10808], [523, 2828], [658, 8880], [8841, 9463], [2728, 10251], [8335, 10823], [1057, 1981], [5004, 9970], [551, 4095], [4308, 8173], [1789, 2280], [3036, 10754], [1671, 3722], [8135, 10361], [1691, 11544], [2725, 3133], [4146, 6310], [2027, 2044], [2649, 7460], [6162, 8549], [1556, 5842], [10124, 10400], [11265, 11308], [525, 11518], [1836, 8111], [7166, 10095], [1218, 9230], [6197, 10233], [650, 9712], [3984, 8584], [1398, 1469], [5596, 9077], [5850, 10125], [4596, 6896], [2139, 2635], [3699, 9354], [5686, 8970], [3480, 7738], [2045, 8635], [9985, 10214], [769, 8064], [7913, 10675], [5521, 6809], [8191, 9865], [2558, 3908], [1720, 2809], [5057, 5362], [1841, 10683], [5170, 9211], [1648, 11042], [4239, 5669], [5042, 7713], [3731, 3950], [5824, 11132], [497, 8665], [6593, 10182], [521, 6807], [9803, 10708], [3977, 10772], [1993, 8421], [5288, 8119], [82, 3727], [5007, 7877], [5473, 7118], [7138, 10655], [5928, 7698], [298, 5422], [2717, 6947], [2040, 10869], [7986, 9409], [9033, 9901], [3408, 7969], [1125, 11243], [6085, 8032], [2969, 4135], [1651, 10535], [660, 2778], [350, 8214], [2396, 5027], [5833, 11194], [10300, 10359], [5635, 10455], [5048, 6723], [879, 4771], [2049, 4165], [2804, 9925], [5230, 6205], [2033, 3632], [1990, 6968], [6757, 10532], [8343, 9050], [2240, 11280], [11290, 11448], [8399, 10113], [6023, 6780], [152, 7825], [6865, 10250], [1008, 9503], [6773, 11415], [1916, 4925], [5654, 7822], [353, 10740], [7268, 9142], [2634, 10803], [1323, 7794], [2285, 4233], [5614, 8423], [3594, 6415], [5794, 7078], [2683, 10695], [5489, 6442], [5864, 6319], [9685, 10971], [6770, 7330], [2646, 4397], [9500, 11191], [7449, 7618], [3087, 5271], [2837, 5096], [337, 5669], [6405, 11554], [6004, 11210], [2325, 8893], [3259, 9700], [2577, 2698], [9824, 9975], [519, 8534], [8485, 10580], [2026, 5039], [8435, 11217], [2831, 3746], [2547, 3987], [2977, 3571], [6249, 11391], [2569, 6220], [705, 11141], [10913, 11070], [3910, 11323], [6310, 8634], [23, 8303], [4849, 8310], [9223, 11448], [2538, 10290], [6834, 11263], [7364, 8045], [6483, 10282], [2992, 7262], [693, 6593], [2183, 5403], [3645, 8581], [663, 1466], [8355, 8605], [5356, 6047], [3277, 7596], [1682, 10490], [942, 10680], [10276, 10607], [697, 10095], [7937, 9785], [5845, 6211], [3303, 5030], [1211, 1456], [2887, 3654], [707, 3643], [7804, 10195], [3167, 5923], [7217, 10627], [4734, 7397], [3414, 5800], [3221, 6159], [237, 11049], [773, 11029], [6840, 7644], [2301, 6159], [10143, 10613], [515, 3823], [1540, 7000], [5287, 7731], [6001, 7074], [1646, 8150], [7054, 9293], [3897, 5395], [7236, 11027], [7955, 10714], [453, 6328], [3280, 3706], [883, 5912], [1812, 8627], [7075, 7137], [4050, 5610], [4554, 7587], [5175, 10149], [1001, 3689], [4521, 5195], [1539, 4496], [3113, 7915], [498, 2314], [7204, 9210], [4807, 10662], [7039, 10863], [1150, 9824], [6225, 11289], [5910, 9965], [9327, 10592], [5230, 10206], [9803, 10521], [467, 9767], [1238, 9644], [5541, 7624], [3850, 4394], [1270, 7647], [9668, 10104], [7529, 10848], [3642, 7828], [1426, 5908], [4153, 5334], [2630, 4132], [3168, 11355], [8643, 10310], [1324, 1467], [3588, 10251], [1048, 5733], [7928, 11496], [137, 3597], [140, 7278], [3932, 7028], [317, 8668], [6172, 7090], [392, 7499], [222, 9562], [470, 2494], [9930, 10639], [1907, 8059], [940, 4860], [1528, 11446], [8880, 9849], [8971, 9967], [8250, 9453], [2144, 7248], [3332, 5693], [6472, 6978], [6095, 11192], [4538, 4744], [1468, 8362], [6626, 10828], [2462, 9220], [8897, 10203], [2791, 7998], [3724, 5170], [2354, 11380], [2390, 11037], [169, 4609], [2538, 7525], [2424, 9867], [7993, 8457], [2100, 7299], [5426, 5556], [5441, 6588], [1764, 5098], [4814, 9873], [879, 6812], [2372, 11555], [908, 5298], [4863, 6732], [5699, 7004], [5822, 11541], [280, 11364], [1431, 4292], [6658, 9561], [6100, 10731], [2024, 4806], [7471, 8129], [5014, 10284], [6186, 10505], [3978, 8446], [210, 7592], [10956, 11334], [834, 9671], [7152, 10069], [2452, 11110], [4837, 7389], [4998, 8246], [4437, 9899], [1421, 3954], [1202, 11006], [2565, 8543], [1792, 8593], [3072, 3621], [1227, 6340], [1514, 9780], [831, 6340], [4745, 11183], [4205, 6516], [1780, 10838], [2093, 9837], [8024, 8843], [4579, 6168], [8689, 10923], [3049, 3795], [6383, 6831], [1149, 6807], [3673, 4376], [3857, 6183], [405, 9507], [271, 6309], [1929, 7147], [2149, 9365], [3983, 8739], [810, 10724], [1545, 3774], [10393, 11355], [3418, 6486], [2013, 9477], [5748, 6441], [3382, 3796], [2754, 4227], [569, 3872], [6364, 7878], [227, 4108], [3033, 7025], [1940, 11069], [593, 1233], [131, 7029], [4551, 6348], [8097, 9829], [1101, 10499], [664, 9744], [225, 248], [6885, 10209], [9835, 11370], [4143, 8216], [5559, 8797], [8210, 9891], [6099, 6267], [5008, 11138], [4471, 7523], [2924, 5173], [7836, 11370], [3409, 4464], [6870, 11025], [184, 597], [3093, 5921], [4560, 9443], [6547, 9059], [1817, 4596], [9380, 9635], [7515, 9450], [5832, 10245], [1811, 11197], [8574, 11457], [5955, 8366], [6170, 10240], [5368, 8798], [692, 10987], [10031, 11258], [9091, 9882], [5514, 5590], [6479, 7962], [1801, 3689], [1551, 9930], [2986, 4869], [5759, 11056], [3514, 11404], [718, 9175], [9090, 10411], [654, 5218], [2206, 4906], [2142, 9617], [523, 6455], [3981, 7083], [4781, 7698], [4663, 6888], [155, 552], [3684, 5584], [7747, 11247], [4688, 7884], [5247, 9568], [10504, 10515], [84, 5223], [5390, 9095], [3194, 8551], [3774, 4696], [1407, 8996], [8561, 8912], [4669, 5548], [6200, 11529], [8096, 11027], [3245, 8489], [4165, 11118], [2090, 2987], [10080, 10345], [178, 10900], [2239, 2329], [4288, 9239], [492, 6337], [8642, 8692], [8764, 9621], [4662, 8891], [2609, 10907], [3786, 11472], [4413, 11570], [4745, 7613], [2601, 3849], [4800, 8074], [5018, 9465], [6738, 11181], [3257, 8849], [2847, 10671], [2061, 3346], [2348, 6786], [2654, 3860], [4639, 9819], [1898, 5045], [5413, 6207], [2338, 5317], [3528, 3835], [1743, 11523], [5222, 6612], [965, 4059], [96, 1395], [5605, 9760], [491, 8340], [1929, 6960], [2574, 8418], [3887, 11473], [3476, 10441], [2822, 11149], [9382, 11080], [5435, 8009], [2097, 7483], [6216, 7820], [1724, 2771], [3349, 7633], [2, 1359], [8136, 9597], [3440, 10380], [3402, 7644], [3842, 7916], [4329, 8034], [3362, 4081], [2551, 5559], [1465, 4358], [775, 3911], [8237, 8898], [4073, 7290], [1268, 7227], [3226, 8357], [1242, 6006], [4253, 5945], [5407, 11222], [525, 7119], [2915, 3742], [5556, 8312], [5432, 5802], [4389, 8435], [10039, 11363], [2756, 9347], [5490, 9944], [2761, 3275], [8674, 11501], [1071, 7063], [8085, 11106], [6492, 9165], [1759, 5185], [5924, 9647], [2249, 4066], [8663, 11342], [5528, 9647], [5029, 5762], [9036, 9638], [8470, 10947], [3845, 4026], [8230, 11460], [156, 1021], [948, 11544], [351, 7124], [3405, 7891], [7887, 8088], [5738, 10396], [1816, 1905], [6127, 10356], [313, 7771], [715, 3055], [1339, 5134], [4288, 9857], [1390, 8105], [2740, 4626], [854, 11508], [1050, 1998], [4101, 10381], [1297, 2629], [3506, 6788], [1632, 11021], [5092, 6060], [295, 6791], [4064, 9001], [3493, 5802], [1909, 6576], [6601, 8303], [1664, 10909], [100, 8952], [1989, 5781], [9029, 11045], [1800, 2095], [86, 7741], [4657, 11393], [4698, 7230], [4223, 8657], [2490, 10089], [10329, 10862], [1358, 8543], [5845, 9838], [8277, 10070], [669, 4534], [739, 6027], [479, 4410], [3496, 5295], [6303, 11066], [2631, 5756], [6669, 8945], [5117, 6251], [3150, 8041], [3930, 4217], [2655, 7281], [779, 8435], [4079, 7723], [5794, 9095], [6909, 8782], [2795, 6537], [5425, 6754], [27, 3323], [4591, 5804], [6686, 9649], [3104, 4259], [3298, 7508], [7563, 9922], [3446, 8160], [297, 10539], [1973, 6321], [4099, 9479], [11, 8455], [4056, 5645], [3063, 7641], [1573, 2415], [8083, 9399], [5994, 9506], [9416, 9723], [1974, 6142], [9658, 10010], [4892, 9300], [1188, 5987], [4308, 10003], [6020, 7694], [1696, 3919], [2335, 7060], [3615, 8504], [5977, 7243], [3551, 4547], [8745, 9676], [5192, 9942], [2559, 9397], [3860, 6056], [1936, 10172], [5609, 8510], [4351, 8545], [1672, 5403], [2606, 8462], [4070, 6051], [1952, 7672], [188, 9791], [2821, 3920], [7337, 10117], [482, 9514], [606, 1444], [6130, 10841], [492, 4540], [830, 10197], [835, 4125], [10281, 11463], [7516, 8547], [4940, 9290], [6430, 8100], [7020, 11349], [5143, 8895], [5055, 6796], [6077, 10456], [7640, 8024], [2036, 6969], [2810, 5609], [1853, 7262], [3181, 7996], [2529, 3869], [9337, 9564], [6381, 10086], [1739, 5470], [1040, 1497], [7848, 11356], [3797, 7181], [2117, 8247], [2829, 10173], [2987, 11513], [3202, 9223], [762, 8349], [8642, 9123], [9607, 11495], [5901, 6601], [140, 5562], [3787, 9095], [1667, 7637], [7952, 11305], [3100, 5913], [4655, 11534], [7666, 11473], [2717, 5394], [411, 6964], [8043, 10642], [2687, 6683], [4211, 5077], [3462, 9685], [2367, 10650], [6596, 11155], [9273, 11218], [1649, 8155], [8115, 8451], [873, 2272], [2117, 4059], [6132, 9708], [1488, 10681], [8494, 10699], [1309, 2802], [490, 5917], [3728, 4327], [7905, 10304], [6602, 11320], [4909, 5765], [4783, 6592], [738, 2986], [3633, 10856], [7182, 10848], [6922, 9231], [1046, 4270], [1080, 9516], [1314, 5024], [887, 2705], [135, 7796], [3939, 9061], [3429, 9521], [918, 8407], [536, 5107], [1776, 10158], [1808, 8161], [288, 4978], [783, 9121], [6755, 8128], [4048, 9354], [6058, 6510], [149, 11235], [1214, 5143], [1551, 7946], [1339, 9753], [6523, 7778], [8766, 11521], [1545, 3213], [1144, 2869], [1755, 4743], [4752, 6474], [731, 1010], [3540, 7608], [8982, 9833], [104, 4295], [1048, 5790], [1284, 2125], [7238, 11106], [3409, 11474], [6453, 6635], [9259, 9552], [4297, 11155], [6568, 10530], [931, 7083], [4487, 8246], [7250, 10335], [1951, 7664], [3231, 4944], [8559, 11019], [2520, 3620], [814, 9881], [2801, 9497], [8052, 8744], [1584, 9533], [1429, 5458], [1119, 6730], [1114, 6386], [2196, 10097], [6769, 10412], [8214, 10203], [1822, 5160], [3281, 4657], [2128, 8650], [4337, 7147], [10226, 10815], [4878, 7471], [9073, 9146], [4245, 7558], [7015, 10818], [1720, 10518], [6663, 9612], [8756, 10378], [5886, 9920], [576, 9312], [836, 10205], [8623, 10788], [2183, 3045], [5546, 6065], [2174, 5211], [4395, 5223], [10864, 11452], [7309, 10891], [6252, 11182], [1453, 1664], [3297, 5890], [520, 8629], [10769, 11565], [6583, 7000], [4380, 6039], [2606, 7470], [7709, 10983], [4001, 9426], [78, 10913], [5957, 7477], [4721, 9715], [10187, 10836], [3416, 9904], [1565, 3009], [4550, 7389], [8142, 11215], [1752, 9251], [1747, 8907], [1972, 11469], [1072, 9492], [5590, 9346], [5182, 7831], [1593, 8440], [2568, 11500], [8170, 9476], [1589, 4534], [348, 6428], [2149, 9072], [1865, 9313], [1335, 6869], [194, 5961], [9781, 10498], [1586, 4236], [7041, 11584], [6323, 9089], [2116, 10063], [5290, 10932], [4142, 9607], [4003, 6065], [3612, 6409], [9558, 10611], [1836, 4761], [699, 2871], [2481, 7717], [673, 1650], [868, 1337], [5742, 11214], [3944, 5835], [6769, 8802], [3293, 10978], [2292, 2533], [3042, 7195], [3033, 10115], [3064, 5264], [3161, 8580], [6018, 7298], [9803, 10041], [4056, 6426], [2375, 4638], [5270, 6092], [3143, 9879], [3800, 7934], [464, 2573], [2021, 2605], [3149, 6661], [1859, 2277], [2392, 4992], [2020, 3134], [2701, 5747], [1710, 2154], [5435, 7098], [3418, 8771], [5376, 9901], [2257, 2323], [2628, 11126], [4842, 9213], [2509, 2544], [7076, 8706], [2969, 3468], [7120, 8978], [575, 10109], [2507, 2848], [2658, 9433], [662, 5567], [7611, 9215], [3158, 7504], [2660, 9479], [1120, 10582], [1159, 9756], [6471, 10410], [5033, 5374], [7847, 8152], [8473, 11058], [746, 4864], [4264, 5543], [2387, 3843], [4981, 8567], [4327, 10029], [8093, 8558], [8704, 10432], [299, 388], [2146, 10547], [6396, 11175], [7647, 8471], [8894, 9775], [4443, 4727], [1920, 8514], [5908, 11586], [2099, 3561], [9411, 11233], [9349, 10355], [5835, 10549], [5709, 7212], [769, 6137], [7142, 9652], [7166, 10046], [2536, 7699], [550, 10937], [7355, 10699], [4246, 4563], [734, 7082], [3468, 7679], [1314, 3227], [825, 6446], [3089, 4650], [4615, 5369], [2748, 4357], [4804, 6022], [6199, 7978], [7446, 10036], [631, 2416], [495, 9725], [3862, 10989], [5610, 8337], [10713, 11096], [2459, 7637], [3551, 9784], [177, 8103], [6061, 11427], [5753, 7110], [5814, 8517], [6438, 10596], [1944, 2468], [4094, 9430], [9133, 11238], [4804, 11283], [9167, 10068], [574, 4891], [3524, 6806], [6485, 6628], [1128, 5450], [1974, 10574], [11029, 11086], [1535, 7494], [5881, 8584], [5413, 6264], [3556, 5940], [1643, 4583], [2367, 3860], [4851, 10698], [3426, 10031], [2428, 5267], [2, 2571], [1621, 3481], [1156, 7848], [1553, 11456], [5450, 8748], [3139, 9974], [7626, 11269], [1773, 7258], [2109, 5672], [43, 1067], [9297, 9336], [2289, 4327], [3032, 8572], [7149, 8082], [7426, 10834], [1067, 4019], [3596, 4184], [6235, 7927], [6701, 7168], [5023, 9061], [7108, 11464], [10500, 11472], [1097, 9496], [1622, 5934], [92, 3561], [6547, 10084], [5205, 5510], [4517, 10771], [5033, 9375], [3324, 11201], [585, 3844], [2852, 5729], [5780, 9575], [1919, 5524], [6714, 11136], [984, 4492], [1104, 9512], [4434, 10894], [7832, 11471], [7450, 10423], [6044, 8308], [1964, 11309], [1974, 5581], [7108, 10659], [4078, 6536], [228, 6027], [1405, 6592], [2895, 5402], [3485, 8651], [3715, 11557], [279, 2582], [1770, 4246], [5159, 6989], [2397, 10760], [4823, 7040], [212, 3989], [7686, 10491], [5532, 6039], [1340, 8799], [9886, 11154], [304, 6961], [3948, 4561], [4789, 5177], [3658, 6485], [4152, 7774], [2849, 8790], [256, 504], [8385, 10650], [2093, 3559], [4434, 10089], [1132, 9974], [798, 4436], [2009, 10247], [228, 8255], [6205, 8360], [2246, 9436], [8655, 9198], [4639, 10494], [2156, 10674], [2779, 3483], [4931, 7862], [10521, 10739], [321, 7665], [4268, 11490], [846, 4103], [510, 4154], [7596, 9793], [8401, 8500], [2894, 4345], [6361, 8499], [1519, 3041], [7768, 7806], [7277, 7946], [2203, 3673], [3132, 6388], [10193, 10277], [83, 4467], [4871, 6656], [6639, 6908], [6427, 8715], [9512, 11047], [3996, 5675], [5701, 6359], [2401, 2907], [267, 3995], [6387, 10070], [1694, 1702], [6394, 10460], [4861, 7816], [7134, 8018], [369, 515], [3918, 6923], [3305, 8386], [9807, 11345], [523, 4365], [906, 9765], [4538, 5850], [5909, 9664], [6012, 10543], [4039, 8381], [1702, 4976], [1650, 4786], [7534, 8110], [1242, 6681], [3534, 6933], [1305, 11167], [4698, 6482], [5128, 6066], [2516, 10562], [427, 10669], [4653, 6739], [2817, 7292], [279, 4355], [4620, 5101], [5991, 8161], [798, 2476], [9667, 10180], [5627, 11082], [4156, 10070], [1236, 6085], [4462, 7144], [195, 3903], [819, 6736], [4396, 8776], [2434, 4494], [9280, 10673], [8934, 10036], [5592, 11246], [5274, 6241], [1723, 2416], [6950, 7685], [3312, 7621], [1404, 10772], [6973, 8608], [3745, 4470], [837, 1276], [7, 11372], [3481, 6117], [8240, 9066], [2708, 9577], [5731, 11031], [1059, 9956], [397, 977], [627, 10299], [4615, 6955], [992, 2318], [3519, 5820], [1953, 7954], [10053, 10192], [4727, 11333], [1914, 4993], [4007, 5759], [4308, 8905], [5094, 9814], [9541, 10956], [1418, 11178], [8846, 10165], [5210, 10928], [831, 7446], [5707, 10980], [5, 722], [7485, 10422], [2519, 8900], [5201, 10061], [717, 2621], [664, 8622], [1316, 7087], [437, 2981], [3014, 5846], [402, 4680], [3289, 8525], [6807, 9204], [2493, 11035], [678, 9459], [900, 8340], [4320, 6232], [777, 9438], [6563, 9975], [5092, 8963], [2783, 6852], [2659, 5096], [8168, 9297], [4996, 5468], [2506, 7483], [6833, 8523], [6107, 7665], [6485, 7059], [3809, 9850], [1096, 1462], [5553, 9708], [3808, 10379], [4608, 7988], [1220, 8853], [848, 6995], [965, 1164], [4726, 5765], [2062, 10825], [4887, 10786], [6938, 7943], [2112, 3772], [121, 10049], [1494, 8274], [1212, 9342], [3579, 10677], [1462, 8736], [4007, 7182], [1454, 2459], [8703, 11280], [949, 1011], [5181, 6695], [5745, 9477], [8828, 10228], [6498, 7240], [3815, 7362], [4462, 4729], [7848, 9453], [1134, 3393], [2679, 8326], [4771, 5484], [2933, 2958], [1935, 4610], [815, 4579], [4995, 10827], [1695, 11539], [9375, 10747], [1777, 6653], [5082, 7039], [1248, 7063], [1358, 4225], [4966, 8584], [2515, 7521], [3389, 4113], [780, 8126], [3843, 7501], [700, 5164], [3069, 8080], [1670, 2218], [3437, 6032], [1229, 8891], [4723, 11428], [4835, 5253], [10103, 10523], [1946, 7751], [10908, 11482], [2719, 6920], [6022, 9889], [3894, 4406], [6010, 6122], [7324, 9402], [2501, 8912], [724, 4410], [1589, 9584], [1711, 10513], [3919, 9539], [674, 3542], [7817, 9685], [1993, 10576], [3700, 3759], [2486, 8230], [3611, 8605], [6849, 7015], [4196, 5094], [2883, 4668], [7457, 7837], [4506, 8703], [1887, 6366], [2016, 2050], [2969, 9323], [7415, 8365], [173, 5596], [6458, 10018], [551, 11406], [3999, 10592], [4176, 8949], [3708, 6629], [7701, 10799], [757, 5997], [962, 2265], [6943, 8905], [2557, 9170], [1800, 2583], [8814, 10790], [8864, 10153], [906, 7968], [459, 863], [1053, 11401], [3637, 9021], [917, 5124], [7830, 9115], [1354, 5879], [1973, 7614], [10269, 10518], [2573, 11551], [2163, 6957], [984, 9729], [1297, 8728], [6059, 11194], [8674, 10379], [2523, 8431], [2882, 10027], [296, 9328], [1222, 6110], [2789, 6830], [4563, 5399], [2309, 3749], [3926, 11002], [1538, 1620], [5896, 6477], [3399, 11485], [9748, 11196], [694, 7122], [5699, 9346], [1841, 11228], [2519, 7908], [6827, 6986], [4728, 6405], [2907, 7990], [5388, 8895], [7000, 8634], [9302, 9574], [7151, 8803], [934, 9211], [3702, 9392], [527, 8298], [331, 4976], [6215, 8300], [1922, 3838], [9110, 9754], [5958, 6200], [2697, 10223], [3062, 8658], [5240, 7088], [1699, 4705], [720, 4155], [8536, 9640], [1282, 5356], [6361, 8475], [4742, 6811], [1526, 5716], [8876, 9708], [4979, 6000], [435, 4925], [2613, 3355], [1993, 7811], [4049, 5312], [3216, 5311], [1777, 6466], [407, 6260], [4224, 7006], [1889, 10090], [2585, 8073], [5788, 8182], [1980, 3011], [6059, 6201], [3277, 8596], [2514, 6328], [14, 5403], [4520, 10158], [2722, 7031], [1264, 11142], [509, 5382], [30, 9319], [2533, 7509], [3715, 8418], [5764, 9666], [845, 2298], [3988, 10270], [4580, 7930], [3905, 8515], [3800, 10219], [2551, 8088], [723, 6250], [1590, 5835], [1831, 8930], [3212, 7016], [34, 8657], [10020, 10459], [8908, 11043], [5622, 9209], [8376, 11182], [3261, 6908], [4226, 9280], [4296, 8521], [9790, 10936], [4726, 7351], [3136, 4927], [9488, 10571], [1357, 6014], [2475, 9382], [1456, 10157], [2326, 2843], [3320, 10871], [2040, 6421], [4829, 7479], [948, 7657], [788, 10408], [1853, 3562], [7758, 7763], [6913, 10411], [2938, 10954], [2372, 8099], [7508, 7588], [4428, 9764], [1372, 6672], [7700, 7758], [2399, 10676], [6566, 9549], [3514, 3947], [2681, 3192], [1774, 10624], [7412, 10509], [6949, 9287], [6951, 10114], [2115, 4501], [4299, 4631], [2021, 4085], [3118, 6576], [1731, 4511], [4485, 7238], [304, 9433], [6027, 6238], [7222, 11516], [3767, 10405], [3891, 6499], [4660, 11211], [393, 2308], [6031, 6357], [3321, 3902], [9829, 10059], [2355, 3557], [4933, 7778], [7584, 8872], [7362, 9991], [230, 7390], [1321, 6683], [693, 2950], [5830, 10955], [8913, 10208], [4274, 11525], [1062, 1504], [4800, 11571], [103, 2330], [3432, 7274], [3189, 7516], [4175, 5103], [7726, 8174], [2709, 4435], [6296, 7163], [2712, 8116], [4238, 8835], [2185, 8599], [0, 4834], [3554, 11586], [9841, 10419], [2709, 7818], [4147, 6438], [1652, 5103], [3923, 4478], [4258, 7208], [2329, 10980], [734, 8212], [4634, 9185], [59, 2381], [3111, 7983], [5809, 9677], [5936, 8698], [5313, 9473], [2940, 5657], [3136, 3317], [8292, 9874], [3249, 7166], [7335, 11527], [5088, 10294], [2320, 3697], [1379, 5883], [7450, 11285], [4145, 5237], [3840, 4601], [8788, 10455], [7796, 8889], [1812, 8367], [4300, 5525], [1559, 7921], [6851, 7169], [3248, 3908], [4493, 9303], [1902, 8260], [7287, 10705], [1989, 10888], [399, 7710], [682, 7998], [2824, 10935], [5697, 8658], [10707, 11226], [5695, 7831], [8393, 9525], [1141, 6068], [2794, 8814], [1152, 9610], [8929, 9505], [5409, 5747], [4251, 5232], [207, 7890], [2607, 10119], [2380, 6730], [4133, 10838], [9360, 9691], [7680, 10003], [3786, 9976], [768, 9620], [3385, 9632], [10713, 11421], [200, 10102], [792, 1346], [2495, 7619], [2371, 5863], [3525, 11140], [316, 4800], [7640, 8325], [4025, 9211], [1881, 9611], [7822, 9305], [9030, 9183], [9095, 10332], [6504, 9289], [1975, 9246], [664, 5483], [8071, 10763], [4666, 6763], [1219, 4015], [5826, 9576], [8271, 10070], [2120, 2430], [380, 2691], [5748, 7441], [612, 7952], [2676, 10232], [1962, 4473], [744, 1655], [6528, 7781], [609, 7654], [2298, 7805], [2477, 5858], [3105, 3175], [5195, 5922], [1831, 9093], [7665, 8166], [3470, 7245], [4088, 9509], [5837, 9711], [2401, 7152], [1651, 5900], [2117, 7393], [1035, 7065], [6472, 8946], [3664, 3704], [4267, 4906], [674, 8779], [5526, 7755], [3478, 10115], [3388, 4937], [1761, 9047], [6891, 10219], [10096, 11155], [755, 10057], [5278, 10255], [4683, 6662], [414, 9764], [6271, 9013], [7757, 10333], [4995, 7688], [1103, 10740], [3056, 4356], [969, 1126], [4709, 11266], [2588, 2790], [3341, 7723], [1470, 9221], [1840, 8000], [4204, 9818], [2179, 7466], [4300, 9526], [3989, 5692], [3576, 3833], [6731, 6904], [431, 1450], [525, 7501], [4243, 8992], [1177, 8595], [4356, 9808], [8449, 10452], [148, 4895], [6302, 6390], [8019, 8589], [1764, 6261], [943, 8549], [5120, 8864], [1637, 3453], [1778, 9350], [9715, 10658], [9873, 11244], [4026, 7021], [9124, 9436], [2281, 4686], [7012, 7839], [9464, 10258], [495, 4602], [4703, 10646], [3584, 7053], [6748, 9486], [7622, 10242], [182, 9740], [4850, 6909], [3604, 10711], [467, 5937], [1184, 8961], [9525, 10130], [1425, 5640], [1151, 6569], [3603, 4070], [1649, 10229], [3846, 7211], [2910, 3325], [1268, 10537], [5093, 6263], [7584, 10108], [958, 9557], [8169, 10761], [1955, 10686], [8176, 11151], [3713, 11004], [855, 5645], [7197, 10601], [908, 2273], [1281, 1323], [5986, 7419], [4234, 6919], [3021, 3691], [1026, 9849], [1205, 5650], [2273, 9655], [3487, 8567], [4268, 9132], [1835, 9429], [773, 8622], [7707, 11238], [1060, 5646], [962, 9275], [1306, 2669], [5130, 5340], [2695, 11226], [2669, 5841], [2791, 4518], [2818, 9347], [1292, 1458], [7016, 9785], [2004, 6390], [7609, 11053], [207, 10281], [8820, 10448], [1853, 9604], [4238, 5883], [353, 3690], [1564, 9501], [692, 3156], [4493, 10539], [9777, 9926], [3208, 5745], [2425, 5107], [3870, 4898], [2708, 4641], [1278, 6636], [901, 10096], [2740, 9814], [1532, 7684], [2208, 9953], [4515, 8985], [4575, 9790], [7221, 10540], [10543, 11307], [239, 2248], [1928, 4651], [5849, 6501], [5505, 6691], [3980, 11078], [1731, 7520], [2233, 8670], [519, 1484], [5434, 11362], [3197, 11571], [1014, 1463], [2466, 3953], [2500, 9199], [6647, 10803], [5081, 6521], [3023, 8193], [2589, 5457], [5512, 8959], [7100, 9058], [2815, 10873], [4357, 9873], [6452, 7302], [6442, 6614], [6884, 6959], [2025, 6812], [7286, 10911], [1302, 3973], [3337, 7013], [1019, 7068], [4257, 9642], [4135, 8713], [7629, 11250], [3423, 9416], [2272, 3656], [4125, 7244], [3796, 8466], [1477, 5667], [546, 1371], [5158, 8030], [1507, 7007], [47, 1623], [544, 8845], [6669, 11100], [3396, 7219], [503, 11473], [4204, 5443], [6392, 9479], [3279, 9263], [10464, 11498], [717, 9712], [2654, 9211], [622, 6442], [3361, 7383], [2671, 6936], [7412, 8525], [94, 7454], [3660, 10833], [19, 11252], [7066, 11271], [5153, 9914], [7463, 8463], [672, 3122], [5677, 9510], [1074, 10484], [2657, 6075], [5375, 8391], [1848, 9878], [7598, 10758], [5547, 7185], [1140, 8071], [3114, 3318], [4773, 7010], [635, 6623], [5912, 11255], [9186, 9322], [5268, 11153], [1656, 10058], [4987, 8659], [1305, 9077], [123, 1752], [2270, 5033], [1931, 5567], [8180, 10332], [5126, 7313], [6930, 7976], [8020, 9296], [4811, 5208], [241, 9328], [2171, 8410], [7496, 10050], [2813, 5433], [3229, 4557], [3659, 4141], [1847, 9252], [5902, 7884], [8162, 8598], [7301, 9959], [5804, 9978], [4111, 10839], [595, 9452], [590, 9108], [6911, 9023], [5605, 9768], [4121, 8494], [3457, 9268], [6848, 7920], [4926, 7201], [1502, 5403], [1808, 8893], [4516, 9023], [92, 1634], [594, 6948], [10296, 11243], [4503, 7283], [2887, 10054], [4191, 5476], [3697, 9105], [6037, 6365], [3382, 10033], [5692, 8582], [5004, 8962], [1162, 4961], [544, 6080], [4974, 6087], [2174, 11286], [7360, 9384], [550, 2862], [1324, 2256], [1103, 6983], [763, 7292], [2535, 5034], [1248, 6583], [3892, 4254], [4335, 8207], [1677, 5942], [4633, 5420], [7972, 11052], [592, 8349], [1896, 10187], [440, 8709], [2575, 10475], [1362, 3837], [3884, 6995], [5513, 9347], [2552, 8771], [3512, 11553], [6879, 9811], [1149, 6173], [2855, 9711], [2972, 11050], [2977, 11394], [3564, 8710], [482, 10059], [9663, 9744], [5838, 7602], [1850, 3776], [4152, 8880], [545, 8129], [5930, 10574], [3378, 8705], [4684, 5708], [396, 8006], [4928, 8320], [164, 2021], [3801, 11282], [5793, 11242], [6575, 8245], [5238, 9677], [2588, 8027], [1184, 8237], [1691, 9731], [7623, 9339], [6910, 7188], [2524, 7453], [2729, 3721], [1309, 10568], [4669, 9907], [593, 3982], [9397, 11291], [4951, 6587], [82, 5752], [2143, 7761], [2081, 6883], [923, 6368], [2206, 11493], [5162, 6807], [2360, 11179], [2071, 4660], [5314, 8332], [5157, 9846], [1136, 4382], [1194, 1354], [1287, 1545], [8289, 11243], [5555, 7640], [882, 3711], [104, 3417], [4742, 8291], [1445, 8520], [5583, 8907], [1618, 10168], [3156, 5986], [752, 7021], [255, 553], [7748, 10515], [1340, 7945], [1190, 10630], [1971, 11195], [6790, 8533], [3803, 7490], [8027, 9149], [1936, 5724], [8560, 9612], [463, 3885], [3241, 11170], [3660, 9841], [3598, 8963], [1764, 3927], [8272, 9330], [242, 5579], [7988, 10325], [5211, 5894], [7795, 9930], [6344, 10294], [8049, 10978], [7077, 7435], [4568, 9400], [3801, 6289], [1386, 7135], [6138, 8913], [3285, 4652], [1198, 1422], [3028, 8968], [595, 9265], [4239, 9117], [6887, 8442], [6161, 7584], [9306, 9967], [7790, 9936], [933, 9260], [463, 6113], [2424, 10924], [6717, 8970], [163, 6575], [5756, 6717], [5623, 7127], [2517, 4672], [4912, 5803], [5779, 7640], [4349, 6629], [7422, 7446], [766, 10436], [329, 4019], [7330, 7857], [4716, 5110], [6529, 10023], [87, 7869], [3447, 11372], [390, 5426], [8074, 8540], [1637, 6730], [1270, 5216], [881, 1499], [2997, 3215], [3124, 5242], [1417, 5643], [5794, 8298], [473, 7531], [7635, 11472], [4633, 5233], [1334, 8799], [317, 6237], [4794, 6090], [5444, 7138], [965, 6458], [1643, 3892], [4798, 6963], [5975, 7528], [7034, 7283], [1855, 4714], [4105, 5464], [3723, 9334], [614, 2444], [3043, 9575], [6558, 10737], [460, 8393], [2327, 7153], [3980, 9899], [9969, 10795], [9907, 9917], [6371, 7878], [9005, 11277], [4125, 10253], [321, 1818], [6924, 11245], [859, 9795], [7268, 9557], [9499, 11031], [3032, 4848], [974, 10684], [2779, 4402], [2366, 8959], [7436, 9326], [1966, 11469], [4609, 6286], [510, 11489], [4698, 11239], [2364, 5099], [6663, 10507], [3758, 7584], [2359, 8138], [4933, 5070], [9058, 10857], [5524, 11173], [8084, 10651], [708, 5438], [2604, 4936], [1076, 9806], [3414, 10403], [4197, 7631], [6051, 7657], [1947, 10264], [5801, 6728], [7877, 9799], [2099, 6871], [6858, 9820], [786, 7199], [161, 7147], [3896, 6363], [2027, 8688], [5322, 7632], [5788, 9125], [4579, 6770], [954, 1306], [7722, 8326], [2555, 8026], [6820, 9686], [7037, 8223], [7317, 10492], [1304, 2816], [5820, 8259], [1667, 6840], [6154, 7381], [2394, 10552], [4314, 10444], [7518, 7772], [8025, 9266], [9644, 10930], [4229, 5610], [2450, 6697], [951, 10053], [9612, 11392], [757, 1142], [8472, 9204], [4746, 11205], [2252, 7062], [1748, 5085], [1125, 5860], [7293, 8943], [7759, 10436], [2149, 8812], [181, 578], [1061, 7538], [3668, 6862], [1402, 1415], [8440, 10016], [4013, 9526], [4856, 10969], [1264, 1481], [3726, 3834], [3602, 8494], [2756, 6753], [6122, 7792], [3381, 9434], [606, 2420], [5562, 5883], [698, 5392], [3752, 5405], [7633, 10862], [5026, 9286], [6801, 10709], [1127, 4751], [5180, 6720], [5553, 11432], [5698, 8403], [533, 4012], [2556, 5537], [7824, 10807], [5978, 10672], [1125, 1672], [10840, 11090], [3369, 8269], [571, 10131], [1722, 9475], [880, 10886], [1742, 5963], [3172, 4722], [959, 9489], [2547, 4670], [8131, 8456], [7909, 9575], [4671, 4749], [10510, 10582], [5940, 8286], [5537, 7115], [81, 5958], [5127, 8937], [5899, 8635], [3807, 4307], [8352, 8990], [2383, 7248], [1913, 4855], [2969, 6591], [168, 8936], [1314, 3772], [8900, 10515], [3836, 6930], [7103, 10242], [347, 3202], [6011, 9226], [1553, 3007], [6912, 9893], [1957, 7032], [1315, 3593], [8154, 9355], [4421, 10185], [1678, 11000], [367, 1575], [5316, 10283], [762, 8520], [5340, 9179], [6623, 10140], [2079, 9065], [458, 10738], [5692, 6598], [2103, 7207], [1009, 1981], [7054, 10326], [3183, 7839], [7047, 9155], [3091, 8250], [2375, 8834], [6394, 7809], [4078, 8691], [1188, 4548], [4147, 9959], [1002, 1160], [7716, 11357], [10276, 10835], [276, 10101], [966, 9050], [8059, 10942], [318, 7294], [2238, 5688], [1300, 5139], [983, 2988], [236, 8423], [3816, 9980], [1646, 4995], [4616, 8343], [6121, 8185], [6329, 8888], [6867, 9695], [2465, 10955], [3965, 10453], [4806, 11069], [4269, 10864], [2037, 5001], [1068, 5139], [216, 5862], [2000, 5119], [2308, 3020], [6353, 7380], [8935, 10589], [2235, 8399], [1307, 10790], [4607, 7826], [8872, 10240], [7189, 11035], [126, 10483], [5158, 11120], [7455, 8710], [4760, 8041], [3036, 8835], [2320, 6413], [1616, 2096], [3479, 6372], [8295, 9855], [796, 5740], [6334, 8427], [6795, 9576], [1578, 9159], [2474, 7230], [5172, 8924], [1438, 6146], [8017, 11015], [2463, 2907], [8746, 10666], [5050, 10624], [4520, 7426], [1311, 3338], [4831, 5598], [8709, 10784], [3203, 6100], [1620, 4847], [6790, 9582], [2872, 11413], [4486, 5563], [9489, 11124], [5263, 8638], [5291, 9905], [8558, 10965], [2046, 3908], [6457, 9557], [8077, 9911], [7120, 11564], [1917, 10853], [7051, 7263], [2039, 3868], [9690, 11006], [3289, 9607], [7521, 8875], [1188, 8199], [8352, 8803], [2400, 4032], [636, 10315], [3179, 7934], [4648, 8119], [2926, 3324], [4545, 4988], [5417, 11333], [3707, 3889], [4206, 5522], [7758, 11447], [4883, 11399], [29, 10842], [4664, 5619], [3831, 9028], [3263, 10264], [436, 6470], [313, 7568], [8530, 11145], [4853, 5491], [1491, 4571], [329, 11484], [2350, 9930], [3687, 8498], [273, 11552], [6400, 8218], [1204, 2262], [1140, 6973], [6248, 10830], [7466, 11396], [4255, 10645], [1325, 10136], [4121, 8201], [3555, 9510], [2500, 9874], [2063, 3457], [5028, 10568], [3194, 4778], [10491, 11418], [8039, 9753], [2377, 3058], [7667, 7895], [5361, 9465], [2061, 3761], [1314, 2780], [8619, 9281], [494, 6424], [1992, 11511], [3170, 8514], [778, 8812], [9515, 10735], [4229, 8269], [9950, 10663], [2116, 3818], [1925, 7256], [7902, 10771], [1307, 1959], [3289, 7647], [9259, 9991], [2882, 8986], [7047, 11196], [5808, 9753], [82, 7769], [9550, 10140], [4560, 10476], [859, 10844], [1948, 8556], [6392, 6771], [3616, 5948], [1288, 3787], [156, 2241], [1723, 2961], [5233, 6031], [2774, 11523], [2034, 7549], [7729, 7968], [5370, 6494], [5702, 8953], [6734, 6885], [2054, 8201], [5732, 11047], [2174, 6805], [958, 3279], [7532, 7804], [4538, 5590], [7239, 10211], [4378, 10970], [739, 1636], [2351, 8545], [9238, 10561], [5224, 6268], [7860, 9740], [231, 6333], [1972, 9680], [671, 6605], [1703, 4537], [2068, 2972], [13, 10577], [2654, 8731], [603, 5912], [7263, 8703], [1043, 5430], [539, 4207], [5774, 7085], [2250, 8089], [5496, 10524], [3239, 8603], [568, 6076], [4305, 6119], [1427, 10681], [1036, 4609], [926, 6723], [9138, 9956], [5600, 7090], [7244, 9750], [2048, 4548], [3269, 11047], [1480, 11446], [2672, 6627], [4974, 7567], [1173, 9983], [7145, 9744], [2883, 11011], [1047, 11564], [6181, 10226], [352, 4357], [4288, 7239], [1917, 10666], [2638, 4764], [2760, 5693], [1762, 7345], [642, 7314], [260, 4768], [1811, 7237], [2445, 7752], [7445, 9632], [820, 6273], [2284, 6114], [2437, 7110], [6480, 10643], [4990, 5417], [1753, 9861], [509, 8074], [2519, 8640], [1402, 8880], [7661, 11327], [457, 7160], [2836, 3594], [2079, 8341], [5537, 8969], [1112, 2136], [2705, 4831], [1586, 1992], [4910, 5838], [3858, 10637], [7764, 11455], [928, 3712], [10389, 11328], [2147, 9384], [2978, 9312], [5497, 6537], [3002, 7454], [1071, 8901], [3218, 6520], [4582, 6157], [4155, 6844], [7415, 7487], [4121, 4981], [12, 9496], [9353, 10594], [819, 4866], [9318, 11539], [1161, 1597], [8941, 11589], [2780, 3261], [5510, 6368], [4697, 7019], [5473, 7240], [929, 5411], [7157, 9299], [1737, 3635], [7282, 7493], [6318, 7975], [7302, 8899], [1889, 4406], [4628, 6101], [1923, 10406], [9853, 10543], [3886, 5464], [884, 8270], [2661, 10520], [2249, 11515], [4718, 5213], [10934, 10996], [4428, 11301], [2090, 4288], [226, 9209], [1933, 6556], [5761, 5963], [8694, 10907], [7042, 11015], [2677, 7239], [8439, 9634], [5017, 8663], [1340, 3009], [3960, 6702], [592, 8219], [1182, 11468], [2054, 11397], [7787, 8890], [1051, 6289], [7721, 10522], [2981, 5371], [8922, 9229], [2645, 9586], [2949, 9997], [3102, 6829], [7243, 10897], [3126, 4971], [868, 3549], [3504, 3611], [4748, 6152], [1659, 10494], [20, 11561], [299, 4560], [10413, 11243], [601, 4898], [2373, 6804], [4955, 10013], [7286, 9439], [3647, 10685], [5203, 7082], [4415, 9510], [3047, 5213], [7040, 9383], [4397, 8150], [3929, 6584], [6607, 9501], [3541, 5721], [3988, 7164], [3554, 10090], [2329, 6101], [4259, 5183], [6432, 8187], [3853, 7878], [1573, 10669], [3801, 6964], [4647, 7924], [5429, 11343], [4211, 8525], [3379, 11378], [910, 11264], [4052, 7714], [6385, 10219], [4081, 6200], [1381, 4433], [2464, 10998], [876, 2985], [5237, 11523], [5165, 9957], [380, 5033], [6751, 8475], [4610, 8392], [4044, 9701], [1401, 8468], [4885, 10317], [8211, 9328], [4697, 11020], [6593, 11272], [1043, 9699], [6524, 9600], [4148, 6267], [5777, 8619], [1171, 5912], [7337, 8922], [7886, 9164], [861, 4932], [8042, 9677], [1634, 4855], [6787, 6977], [3099, 7550], [4025, 4332], [4709, 4964], [2242, 2267], [6696, 10996], [1161, 1410], [6290, 10308], [5491, 8383], [5756, 9620], [4851, 7299], [9400, 9472], [2058, 9505], [1831, 10280], [11273, 11430], [3018, 5117], [5325, 6401], [1708, 11378], [8653, 11120], [9861, 10998], [2922, 8792], [1735, 6785], [2767, 4717], [1489, 4100], [1619, 9808], [4135, 9014], [1213, 8366], [3761, 6329], [2846, 3320], [6001, 6391], [9428, 11116], [1972, 10111], [759, 2719], [6772, 8897], [1549, 10917], [3934, 7196], [11000, 11429], [105, 1148], [3594, 7505], [2278, 4152], [545, 5584], [1596, 7730], [386, 11189], [5460, 9046], [4545, 6037], [6110, 6684], [4135, 7859], [5418, 8820], [6507, 7286], [6136, 9036], [224, 10080], [2088, 10794], [10851, 10932], [1799, 4275], [8648, 9971], [1200, 9608], [2612, 7007], [4757, 9461], [1959, 11323], [8027, 10792], [411, 4614], [9825, 10886], [4182, 4241], [8977, 9099], [1284, 8151], [2882, 11190], [3314, 10847], [503, 1170], [5640, 9929], [103, 10096], [634, 10486], [668, 9316], [5288, 9477], [2834, 10395], [5107, 6433], [105, 3726], [10521, 11528], [1393, 5061], [4197, 7151], [6633, 8283], [2180, 2408], [9979, 10198], [3226, 4210], [6226, 10376], [1605, 6637], [2699, 11109], [2411, 8198], [8517, 10403], [1829, 4810], [5682, 5967], [3168, 6834], [3846, 6520], [3435, 4734], [1630, 4600], [8482, 10567], [6328, 10279], [3678, 7875], [4798, 7906], [3681, 5140], [1279, 7002], [4088, 9436], [6636, 7399], [8687, 8720], [5574, 10756], [4701, 4940], [2680, 2707], [7817, 11466], [9747, 10548], [2957, 11094], [1455, 8517], [1486, 3666], [1890, 8445], [5004, 9263], [4602, 10946], [5557, 6214], [3729, 10792], [1690, 3846], [10538, 11427], [913, 4154], [3616, 6192], [8999, 11220], [5482, 6979], [3212, 11212], [5351, 8216], [1908, 2958], [499, 2824], [1011, 11078], [5232, 6804], [2527, 4693], [2031, 4489], [441, 8481], [2650, 6978], [995, 3405], [1308, 1650], [3171, 5926], [2522, 7732], [6940, 10388], [6868, 8822], [4292, 8811], [82, 442], [2772, 4874], [1914, 2399], [2853, 10720], [6213, 10059], [7581, 7940], [1918, 9688], [4934, 9217], [1885, 7296], [3734, 6948], [4878, 5121], [6433, 9244], [1395, 6880], [6431, 8417], [5490, 10603], [2260, 9802], [6673, 7950], [4367, 10274], [8823, 9250], [5886, 7570], [5669, 9033], [6889, 7016], [8036, 8870], [6477, 8011], [6174, 8202], [10845, 11304], [7564, 9814], [5634, 9951], [1964, 8878], [5388, 10676], [2124, 6881], [436, 7332], [1145, 5577], [3173, 8200], [1621, 5506], [2713, 9905], [9029, 9476], [1682, 9165], [7649, 7828], [4510, 9397], [7965, 10508], [2335, 10484], [203, 7511], [2629, 3791], [7794, 8182], [550, 11002], [6749, 9234], [5743, 11025], [1478, 7830], [1285, 7435], [4588, 4742], [2649, 7826], [5615, 8746], [1193, 8600], [2755, 8976], [3407, 6687], [4305, 8591], [79, 5351], [5894, 10790], [7203, 7310], [744, 7461], [4486, 7848], [2082, 8883], [3897, 7453], [1524, 10053], [5944, 7874], [4755, 5794], [6434, 6755], [100, 6578], [8560, 9913], [7896, 10687], [210, 10910], [2018, 8309], [3475, 6979], [4445, 8197], [176, 4129], [5566, 11082], [6034, 6986], [4962, 9655], [11011, 11326], [2849, 5204], [522, 1733], [1138, 3951], [2977, 3669], [5712, 7874], [5301, 6088], [1815, 3412], [6670, 6823], [1291, 10582], [1254, 8448], [3278, 7165], [6690, 6694], [3706, 10086], [10641, 11392], [2946, 7365], [7463, 10000], [5969, 11448], [5742, 8059], [3725, 4070], [4253, 10605], [850, 3268], [6980, 10031], [1885, 4881], [4144, 9157], [7985, 8769], [2534, 8710], [5366, 6432], [5399, 11453], [7376, 10381], [1963, 2478], [7816, 10653], [6130, 7767], [3235, 3280], [3768, 10159], [4040, 8403], [2551, 6031], [5070, 5508], [832, 11333], [4414, 10307], [7340, 11074], [5931, 10940], [3009, 10292], [1333, 6596], [331, 10758], [42, 75], [410, 2191], [6992, 10741], [3470, 8408], [6990, 9914], [144, 7899], [6641, 9760], [3618, 5273], [1904, 7509], [4459, 6643], [1682, 8628], [2535, 4343], [3609, 8193], [128, 5861], [8603, 10228], [726, 6719], [2777, 3876], [2147, 3480], [5207, 7445], [8459, 9725], [9183, 9756], [4575, 11140], [3575, 11211], [2835, 11401], [235, 6108], [9637, 10865], [3720, 11565], [573, 6103], [827, 2987], [6768, 6845], [6988, 9063], [10816, 11476], [487, 10466], [10719, 11543], [6926, 11568], [166, 4409], [3999, 10576], [2721, 3543], [112, 7556], [4489, 10211], [4396, 7768], [220, 4645], [5729, 8846], [691, 10646], [2991, 8507], [4486, 7661], [1719, 11088], [811, 2080], [1960, 7013], [6514, 9530], [2740, 10359], [278, 5000], [1522, 7541], [4481, 6536], [7218, 10814], [2762, 5422], [2359, 4251], [1951, 6900], [4936, 7116], [1515, 3337], [1976, 7896], [9111, 10768], [6499, 8848], [4837, 10520], [4479, 6840], [2610, 11417], [582, 9548], [1829, 10852], [1082, 9871], [708, 11350], [5460, 6712], [633, 8732], [20, 10195], [4676, 5849], [317, 10189], [2311, 10976], [3113, 5248], [6504, 11070], [695, 6577], [3642, 4811], [1933, 10801], [652, 9132], [2739, 5946], [7630, 11266], [5851, 5937], [370, 7167], [1958, 9518], [3231, 9791], [3066, 5028], [2344, 5797], [4304, 6219], [1532, 9302], [3438, 7236], [5831, 8294], [690, 8461], [1032, 8198], [510, 9025], [6200, 9854], [4494, 8945], [8410, 11205], [4632, 8909], [5822, 9679], [1061, 10067], [3642, 4006], [572, 6870], [4648, 6379], [5548, 8356], [6283, 8576], [4629, 7857], [10487, 10714], [7350, 8192], [2737, 2816], [10445, 10488], [7098, 11354], [6193, 9033], [1262, 4314], [5440, 7483], [493, 4483], [1520, 8487], [517, 2625], [4557, 6641], [9264, 9400], [1048, 8677], [7242, 11483], [4219, 10029], [6521, 7936], [791, 8462], [2525, 3468], [4178, 10378], [4701, 5989], [2524, 10413], [9344, 11207], [3952, 8345], [4953, 6210], [8098, 8593], [873, 9965], [2554, 5337], [2666, 6332], [3887, 6415], [1731, 5300], [1613, 10906], [1306, 9443], [9926, 10781], [3665, 4501], [5087, 11286], [3196, 9126], [2107, 4998], [10472, 10725], [2910, 9294], [1609, 10383], [6805, 9923], [6860, 9630], [542, 9986], [6772, 7531], [1316, 9380], [1605, 7231], [4921, 10435], [5862, 8249], [4833, 7582], [3556, 9819], [2809, 8838], [244, 2600], [9746, 10971], [1410, 2976], [3793, 9008], [40, 9186], [5262, 9947], [7137, 8568], [7696, 10252], [2463, 11584], [4641, 7762], [2757, 11307], [3598, 5507], [6247, 9938], [2352, 10440], [3721, 7011], [3504, 8474], [4215, 8300], [6300, 10703], [78, 10767], [2468, 7390], [606, 6722], [3276, 3362], [1091, 3761], [1352, 1816], [9065, 9832], [7482, 8579], [813, 7200], [3989, 8896], [4858, 5144], [1941, 11256], [4525, 8876], [411, 6631], [1006, 10978], [2245, 6005], [1470, 2976], [1427, 5558], [487, 4936], [1190, 9752], [4036, 4928], [206, 2442], [4727, 8983], [7533, 11146], [2977, 8556], [3362, 8367], [8897, 11537], [673, 4537], [1638, 7663], [6397, 6448], [1639, 10517], [460, 9125], [2317, 3033], [8923, 9725], [2445, 5662], [8888, 11424], [5115, 5308], [4631, 8871], [4215, 7495], [3069, 8495], [3600, 8131], [5432, 10088], [6326, 8086], [3153, 10071], [10348, 10742], [7757, 9699], [6707, 11161], [10840, 11204], [1934, 9280], [2333, 7299], [1565, 5441], [3708, 11232], [8599, 10136], [934, 11236], [1495, 3167], [5077, 5551], [1734, 3183], [271, 2032], [4042, 8075], [6833, 9206], [2426, 10092], [3388, 6531], [1141, 6052], [3322, 8917], [7838, 7944], [3163, 7352], [1229, 11534], [8600, 9987], [143, 10333], [755, 5235], [3282, 8737], [2993, 8634], [6324, 7235], [4092, 7788], [3958, 4590], [6384, 7286], [8235, 8519], [2347, 7705], [2929, 11093], [535, 6400], [11340, 11503], [5381, 5561], [2280, 9866], [154, 292], [4571, 9893], [1157, 8783], [1305, 9435], [940, 4584], [6258, 9217], [3329, 11562], [8458, 9880], [3565, 3733], [5311, 6670], [10820, 10871], [5849, 7477], [4469, 8835], [2301, 3923], [2330, 9579], [477, 5267], [3993, 10037], [5679, 8759], [1207, 2834], [6464, 9443], [1820, 4000], [2092, 2244], [6076, 8580], [2196, 6731], [3089, 7537], [3275, 4509], [4897, 11352], [4520, 9150], [4179, 8857], [1058, 5370], [7526, 11374], [1992, 5396], [865, 4194], [94, 2819], [124, 10575], [680, 2162], [4193, 8913], [9611, 11498], [7519, 7924], [2080, 4462], [549, 9815], [3947, 5474], [6746, 11384], [1669, 3430], [3984, 8739], [516, 1007], [8710, 9296], [2733, 3529], [2796, 7261], [3467, 3524], [6644, 10326], [7740, 9963], [1508, 5175], [3960, 6840], [573, 1891], [8752, 11400], [7420, 7514], [2895, 9899], [4138, 8051], [4420, 11147], [1655, 8985], [8317, 8439], [6128, 11348], [4894, 10249], [188, 3928], [3292, 4058], [5110, 8561], [1433, 2907], [5847, 8827], [6212, 7262], [4159, 9278], [800, 6377], [1266, 11280], [1636, 6649], [5378, 7036], [3346, 7677], [10350, 11032], [2659, 6747], [10004, 10395], [107, 11294], [508, 5222], [2884, 2893], [4585, 8339], [1658, 7347], [598, 5115], [753, 2774], [443, 4046], [5427, 9557], [1566, 7758], [4706, 9797], [1375, 8190], [1155, 6726], [315, 8964], [1882, 4022], [6388, 8777], [476, 9821], [7594, 7828], [2528, 7580], [4121, 10275], [4114, 9104], [1183, 8370], [586, 3950], [87, 3071], [8966, 11463], [4262, 5969], [122, 8919], [588, 10412], [1641, 2805], [8957, 11350], [8324, 10683], [3498, 6512], [4938, 5959], [3183, 5188], [3566, 4926], [5873, 10374], [3409, 4188], [1473, 7543], [2620, 9397], [1169, 10515], [694, 11188], [8784, 9328], [3741, 5866], [1590, 5095], [1251, 5629], [1688, 6384], [1120, 6866], [5636, 5893], [3674, 8027], [5047, 6252], [446, 3889], [6191, 10841], [4582, 7613], [7102, 9944], [7369, 7844], [4475, 9244], [4330, 6611], [213, 685], [3953, 4409], [2301, 6769], [1711, 3520], [147, 6481], [6253, 8686], [646, 3950], [8812, 10191], [1799, 9756], [1929, 8294], [387, 8570], [227, 4905], [6579, 10549], [2513, 5312], [3600, 9367], [1513, 10301], [6611, 8552], [7550, 10457], [5308, 9568], [3216, 5994], [4461, 8383], [1407, 1954], [5140, 10923], [904, 1333], [5299, 8701], [2832, 9387], [8000, 11043], [6446, 7522], [677, 11126], [10880, 11465], [5850, 6710], [6958, 9390], [8986, 11259], [4041, 9086], [586, 5723], [1479, 6529], [8545, 11516], [4663, 8840], [652, 9726], [2915, 5076], [4682, 6638], [1416, 8432], [5406, 5915], [5184, 7788], [5065, 5622], [5645, 8183], [2914, 11267], [5903, 6721], [3432, 6534], [479, 10737], [4933, 7388], [3706, 8988], [5206, 8486], [6546, 10735], [2866, 4810], [1276, 8802], [2090, 4589], [510, 9269], [940, 8853], [4589, 6043], [1540, 10538], [1103, 4121], [6168, 10560], [523, 7252], [7415, 10366], [6699, 10196], [1006, 4188], [8585, 9760], [4486, 6295], [3297, 4215], [1893, 4425], [652, 8571], [612, 9172], [6904, 8349], [3382, 6016], [921, 10681], [2165, 6052], [5683, 6731], [1832, 3368], [4092, 11252], [5484, 6521], [9477, 10691], [5397, 8030], [1911, 5354], [636, 1248], [9414, 10342], [3461, 4215], [3493, 7136], [1416, 4594], [5805, 8764], [7197, 11203], [1846, 3424], [6104, 8831], [5514, 5582], [3363, 11227], [3402, 10401], [102, 4697], [6139, 11269], [4322, 9620], [3828, 6079], [3231, 8075], [7754, 9027], [435, 4348], [744, 11519], [5725, 9185], [5162, 10011], [7438, 9730], [3085, 5217], [1027, 7643], [807, 3173], [2257, 4836], [5255, 7923], [8178, 11425], [50, 6385], [7804, 8740], [1766, 4949], [5162, 10361], [759, 8013], [7512, 8339], [10567, 11206], [6291, 10885], [1559, 9759], [2400, 3959], [591, 6335], [7498, 10511], [6570, 10650], [710, 1304], [5534, 8812], [302, 3199], [8302, 11245], [706, 3814], [1891, 1988], [5089, 8169], [1360, 5735], [6926, 10470], [4716, 6086], [7152, 10224], [1170, 3359], [173, 7865], [1221, 5576], [2592, 9390], [5768, 11086], [2036, 5725], [6203, 11014], [503, 3081], [604, 3887], [4181, 5927], [9351, 10662], [2873, 8851], [5237, 10669], [7565, 10578], [6644, 7724], [6477, 9304], [3311, 6044], [2249, 9401], [6105, 7446], [1910, 3519], [4931, 10562], [6139, 6276], [3799, 9016], [2431, 4719], [870, 11361], [4610, 10921], [1329, 3015], [7553, 9413], [3518, 9905], [7434, 8001], [3232, 10073], [4574, 5979], [5868, 7129], [238, 7105], [1795, 7891], [1867, 3041], [3543, 5239], [2173, 10695], [3541, 4412], [1368, 6326], [8422, 9044], [5426, 10167], [10350, 11463], [646, 6341], [5374, 9977], [1692, 7389], [2889, 10084], [4529, 5455], [2165, 3637], [666, 6993], [4475, 8602], [2751, 9396], [2006, 9242], [5497, 5846], [1514, 8780], [426, 7506], [2291, 5439], [8354, 10980], [3180, 9509], [5550, 8109], [2436, 5039], [10343, 10642], [6604, 7520], [8587, 9646], [8805, 11037], [7217, 9440], [1336, 5633], [1093, 5875], [1898, 10998], [2237, 10464], [2457, 6266], [6681, 8679], [4040, 8273], [6996, 7751], [3794, 4834], [3047, 9515], [679, 10961], [6061, 6719], [9388, 10836], [1026, 1620], [1518, 2082], [179, 9857], [2264, 5844], [5493, 10584], [8335, 8994], [5126, 9070], [4037, 4188], [2003, 4756], [5526, 9943], [5550, 10337], [538, 6942], [3494, 6420], [6577, 7925], [4801, 6277], [3529, 8858], [1041, 8694], [3520, 11024], [781, 3667], [9125, 9271], [32, 5269], [3022, 10747], [5952, 9004], [1714, 5003], [5607, 11221], [2651, 5327], [5853, 8244], [2147, 3350], [7379, 8963], [6231, 7638], [3442, 5856], [709, 8113], [1433, 8144], [2302, 8556], [9182, 10155], [3692, 6004], [4378, 6709], [6057, 8424], [1883, 1964], [4158, 7874], [7864, 8604], [5393, 6165], [3228, 7940], [5458, 6560], [325, 11506], [2469, 8854], [5863, 7777], [4495, 8398], [5859, 11041], [40, 5860], [5055, 6520], [2529, 6626], [2534, 6970], [7513, 7973], [244, 2657], [8005, 8435], [6066, 11519], [495, 6440], [4147, 10317], [10212, 10269], [4916, 7115], [1306, 8345], [530, 2462], [3805, 9799], [8774, 10114], [3490, 8475], [3679, 11380], [5441, 8434], [8798, 9010], [9018, 10474], [1976, 4383], [57, 9597], [336, 2596], [5910, 11356], [1547, 1991], [5090, 10836], [3078, 6437], [2259, 10306], [3288, 7967], [170, 10413], [299, 6097], [17, 3001], [6272, 8712], [379, 7554], [4830, 6186], [3615, 9301], [3221, 3712], [7508, 9857], [5369, 10601], [9003, 9011], [8934, 11126], [2836, 8782], [1248, 7185], [475, 4983], [8790, 11347], [3329, 9846], [2238, 4891], [3333, 6555], [5879, 7855], [242, 10824], [1248, 7535], [2487, 2562], [3753, 8080], [9078, 10474], [2258, 2510], [432, 1499], [2390, 2629], [1708, 8459], [1574, 6015], [8265, 10371], [9628, 11291], [13, 11122], [2664, 10718], [2929, 5539], [1127, 11338], [4618, 7942], [4709, 7306], [10156, 10629], [1940, 7654], [3901, 8301], [1804, 4383], [3457, 11293], [1213, 7325], [9769, 10368], [3024, 11411], [3385, 5940], [4570, 10530], [122, 9163], [2522, 7228], [9511, 9551], [6462, 6876], [8177, 10500], [6071, 7220], [10510, 10753], [1300, 6920], [9882, 11184], [6497, 9314], [4508, 6619], [7147, 10362], [6951, 7040], [7236, 9653], [3623, 5704], [3105, 4021], [2379, 3163], [8084, 11440], [4840, 8297], [6237, 11080], [4833, 4874], [1906, 11052], [5514, 8241], [7924, 10404], [2468, 5837], [3121, 4904], [4526, 7548], [223, 8814], [3584, 9509], [5511, 11326], [2951, 5432], [6913, 8037], [4103, 7630], [8590, 8925], [211, 4266], [178, 8290], [959, 8855], [3420, 7573], [2510, 4908], [3723, 5130], [9335, 10210], [1921, 4513], [5496, 5726], [5840, 10454], [5716, 7944], [8517, 10517], [728, 9107], [4186, 9735], [6808, 10091], [3310, 5900], [1608, 3235], [6279, 10501], [3777, 8749], [3408, 6408], [1066, 6069], [1561, 6048], [4116, 5182], [2338, 9123], [6851, 8633], [1748, 5874], [4767, 9838], [182, 1592], [1224, 6628], [7602, 11241], [2215, 7969], [1248, 4770], [594, 10396], [3827, 8462], [3576, 4679], [3016, 9186], [9268, 11216], [6339, 9397], [3911, 10038], [6244, 10291], [2885, 3226], [4471, 8914], [4526, 8621], [6804, 9167], [3159, 5680], [7861, 8095], [2252, 6696], [5467, 9818], [5113, 9320], [9321, 10446], [6365, 8716], [5122, 9783], [2746, 6450], [2940, 9699], [8284, 9137], [2346, 8960], [1904, 2199], [1835, 4314], [5800, 6436], [2710, 3760], [595, 9062], [2059, 8903], [8621, 9661], [1995, 4946], [185, 10884], [625, 11156], [9563, 10329], [4541, 6246], [4477, 4541], [5067, 5538], [10987, 11525], [7928, 8162], [2508, 9668], [6847, 8059], [5973, 11467], [1453, 3616], [214, 6337], [6026, 10347], [5972, 7078], [507, 2425], [1785, 3796], [642, 8477], [4928, 5352], [146, 11279], [4711, 6815], [1944, 7990], [4488, 8463], [3614, 5455], [3804, 11214], [1039, 9052], [2156, 2396], [5182, 9783], [506, 6337], [4676, 4727], [4454, 5846], [1410, 4269], [2559, 9202], [3146, 6518], [4610, 6359], [5446, 6631], [4821, 10743], [4430, 11087], [4976, 8402], [2806, 3417], [3642, 3689], [2079, 9504], [1673, 8062], [2, 4710], [3455, 4994], [4327, 7175], [9617, 9760], [8619, 11412], [7308, 7649], [985, 7661], [4257, 9065], [2077, 3392], [1022, 3756], [3594, 6277], [4628, 5036], [5780, 9486], [5341, 6406], [81, 2909], [912, 2837], [1538, 5743], [1970, 1990], [2625, 9798], [4094, 7731], [2191, 7062], [2134, 6528], [4454, 11457], [259, 10536], [6816, 10950], [4142, 10404], [1938, 5835], [312, 7918], [1864, 7606], [3488, 9614], [3579, 11230], [5107, 6360], [3482, 11297], [6625, 10601], [340, 517], [4016, 8952], [2450, 3916], [3100, 5718], [3700, 9655], [956, 1954], [5935, 7121], [3378, 7160], [6518, 9199], [8928, 11362], [3030, 3444], [4994, 7772], [1847, 9480], [1822, 11113], [7417, 10170], [3398, 5533], [719, 8807], [510, 10131], [448, 7001], [3087, 10744], [855, 11297], [3374, 3604], [6512, 8980], [7728, 9473], [118, 10280], [2614, 8053], [434, 1626], [652, 9433], [4454, 7619], [1866, 6847], [4010, 4195], [1048, 6400], [516, 7293], [2890, 9799], [1135, 9028], [574, 10681], [2601, 3280], [3905, 5872], [6993, 11131], [4495, 6869], [6117, 8050], [9267, 10777], [1855, 2901], [9363, 10485], [3162, 9174], [6297, 6705], [2009, 9003], [5302, 11284], [39, 4106], [639, 2381], [3687, 11247], [2567, 4800], [807, 3685], [7291, 10946], [626, 641], [10687, 10696], [6640, 9673], [4422, 7680], [5879, 10514], [96, 7242], [4046, 8332], [626, 991], [8334, 9417], [1961, 2896], [1558, 8141], [6995, 10022], [8277, 8883], [6964, 8457], [10455, 11477], [923, 7401], [2824, 11407], [438, 8110], [677, 3962], [8677, 9002], [4976, 9370], [2077, 4010], [4373, 10797], [4994, 9195], [3913, 9092], [4873, 11120], [598, 1602], [1222, 4435], [5989, 7999], [2477, 4102], [5925, 10458], [1844, 3435], [811, 6032], [2244, 10724], [3560, 8415], [4614, 10078], [9866, 9927], [3923, 9406], [1748, 10493], [1146, 5729], [6914, 11322], [2432, 11125], [7998, 9444], [1611, 6997], [611, 5570], [8339, 8956], [1088, 8353], [2908, 9549], [1290, 11493], [956, 5955], [8636, 11579], [2693, 11058], [6960, 7129], [2409, 11299], [7542, 9736], [5680, 9068], [969, 2403], [1758, 6993], [4115, 5388], [247, 2418], [4178, 9874], [8381, 10656], [2280, 3133], [2364, 7742], [1649, 8928], [615, 8671], [3574, 7666], [929, 9770], [2328, 2800], [7023, 10460], [2849, 8164], [2824, 3381], [449, 10072], [3492, 11424], [300, 3533], [2462, 7122], [4368, 8062], [6453, 8213], [407, 6813], [2225, 11316], [1907, 6311], [658, 4180], [6483, 10307], [3455, 9263], [7408, 9870], [9116, 10071], [687, 6049], [38, 1439], [3830, 7605], [9622, 11340], [1341, 10222], [1697, 10823], [2382, 5264], [921, 11356], [5817, 10604], [1958, 3216], [1861, 9699], [1634, 10474], [576, 741], [4220, 4757], [4973, 9690], [3729, 7149], [4216, 7267], [114, 121], [824, 8390], [1290, 3467], [2910, 7985], [11, 2625], [602, 8728], [5392, 10990], [9714, 9774], [2119, 10115], [4150, 9249], [7877, 8604], [4427, 7837], [3615, 5707], [251, 4714], [1216, 11250], [4886, 5907], [1734, 6517], [592, 4225], [9396, 11535], [5820, 10097], [6334, 7874], [3753, 7519], [4904, 6863], [7056, 11242], [1514, 11065], [8272, 10981], [3373, 5019], [608, 2857], [5238, 9368], [5339, 10174], [262, 2220], [1406, 6809], [287, 9632], [3026, 11327], [1033, 11142], [1602, 7098], [5428, 6432], [2121, 5219], [65, 1302], [5414, 8254], [3423, 11148], [10332, 11233], [9363, 11371], [1243, 2442], [4167, 8798], [1302, 9438], [5689, 10529], [2972, 6903], [2352, 11359], [8942, 9247], [1204, 9280], [1293, 2155], [3748, 9753], [3443, 9871], [1506, 3202], [418, 7590], [1878, 2027], [2626, 6616], [5694, 6335], [9210, 10351], [2744, 3639], [3303, 5323], [3370, 7299], [2530, 9537], [1780, 8285], [652, 9864], [270, 7318], [7156, 9863], [5254, 5632], [2298, 10318], [6646, 8071], [853, 4111], [1730, 10800], [1477, 6944], [2701, 10708], [4367, 8054], [232, 11348], [3441, 4856], [789, 5789], [548, 6858], [4459, 4610], [417, 10347], [3092, 7331], [819, 7883], [1039, 10101], [3274, 9065], [880, 8536], [5701, 6701], [3336, 6910], [5817, 10067], [1834, 4333], [9235, 11296], [1561, 8870], [8591, 11194], [3085, 6510], [618, 3813], [1586, 4204], [6410, 7548], [1383, 3121], [8182, 9454], [3380, 9841], [8982, 10069], [4477, 8168], [4655, 10160], [1013, 1309], [7676, 10787], [2225, 3558], [8644, 10424], [2135, 4796], [2469, 3918], [3962, 9415], [3750, 11222], [2346, 11432], [7198, 11162], [2069, 6428], [257, 11539], [3899, 8312], [2715, 6576], [6075, 10833], [3499, 10822], [132, 10312], [5385, 10386], [3868, 10130], [2266, 6191], [7025, 9140], [9738, 11112], [4881, 5376], [1271, 11524], [2765, 6289], [8169, 10696], [1897, 11397], [372, 9368], [10549, 10738], [1573, 8075], [2543, 11545], [389, 6339], [6311, 10147], [180, 6165], [2288, 3856], [7741, 8125], [2277, 2943], [1815, 10991], [542, 4302], [2498, 8769], [1346, 9200], [2368, 8696], [1817, 11037], [2655, 5720], [1129, 5001], [1774, 7957], [2627, 10088], [6127, 10218], [5834, 6933], [3305, 6768], [9088, 10040], [6572, 10834], [7666, 9644], [9113, 11036], [2955, 2979], [4109, 8256], [2017, 4682], [5542, 6532], [1247, 5407], [1837, 9410], [557, 4960], [6785, 8848], [3514, 8046], [2175, 8651], [5403, 6373], [4821, 7149], [4666, 10244], [6536, 10773], [307, 8168], [6558, 6590], [4978, 11270], [3168, 3622], [2043, 4001], [652, 10832], [726, 1921], [304, 7116], [8296, 8885], [4841, 5522], [5178, 10577], [6093, 7170], [2434, 2876], [1253, 4821], [4896, 8612], [402, 484], [1807, 9544], [8718, 10456], [3145, 10966], [1650, 5396], [3461, 6476], [1871, 10468], [4519, 5629], [2673, 5494], [2560, 11444], [10086, 10966], [7345, 9198], [4692, 7277], [7147, 8459], [2950, 4459], [2050, 2482], [4875, 9613], [8966, 10154], [3670, 7000], [8424, 10359], [2042, 8256], [4067, 10608], [4963, 8679], [665, 11043], [2904, 10880], [5397, 9136], [419, 10987], [6140, 6211], [173, 1132], [3466, 5665], [7948, 10780], [7227, 10266], [3055, 4633], [1545, 7800], [1134, 6768], [1430, 3154], [7443, 8578], [9750, 9862], [7859, 10708], [376, 7126], [4051, 5537], [4228, 4675], [2989, 3232], [659, 6660], [3867, 7113], [932, 5506], [151, 5695], [90, 7671], [3924, 11030], [2484, 11583], [6410, 7361], [6088, 11282], [3502, 11337], [4539, 8859], [1858, 4890], [4654, 7119], [5125, 6704], [4371, 10214], [1043, 8878], [4002, 6375], [1634, 7067], [1406, 4207], [3496, 11118], [2433, 4424], [7223, 9692], [1738, 3633], [1997, 11441], [6477, 11565], [2802, 5984], [1613, 8068], [1951, 8063], [244, 4300], [1419, 4038], [866, 10470], [1885, 3279], [4597, 5780], [2160, 8587], [2693, 4886], [5371, 8557], [5827, 6356], [3805, 9937], [6105, 8552], [1960, 10404], [7846, 11145], [2247, 10434], [1285, 10989], [4518, 9055], [7387, 10042], [9405, 11223], [3830, 8654], [1428, 4100], [6438, 10832], [3795, 9599], [309, 507], [5730, 9025], [4505, 5036], [6748, 8779], [3565, 10076], [7235, 8897], [791, 10080], [6620, 7281], [7614, 8893], [1139, 10763], [2316, 11328], [10139, 11568], [10077, 10690], [3183, 10913], [3403, 8967], [4597, 4975], [8860, 10726], [5866, 8512], [1604, 5615], [3588, 5714], [3684, 5422], [3988, 8839], [4096, 10062], [4963, 9647], [417, 7745], [3400, 9046], [286, 2566], [2345, 10164], [4083, 9076], [7877, 9653], [6732, 7091], [2954, 4795], [2150, 9696], [529, 11369], [3511, 5652], [7556, 10012], [3731, 7870], [6876, 10253], [3047, 4205], [4695, 10771], [493, 2263], [8017, 8128], [7431, 11414], [273, 7592], [5364, 9590], [176, 9911], [5191, 11325], [6671, 8693], [4969, 6028], [4984, 6336], [3532, 7229], [760, 3896], [3, 1473], [1873, 6920], [6, 5154], [4176, 10714], [1590, 10015], [8694, 11322], [5907, 6203], [683, 11031], [3761, 5776], [3365, 5776], [70, 6832], [37, 10856], [6040, 9176], [4763, 4997], [1652, 7860], [5043, 7266], [4749, 6819], [9120, 9629], [4015, 10207], [1370, 8147], [3817, 6058], [1327, 5067], [5277, 6157], [8236, 9316], [4036, 8051], [4898, 9544], [3680, 6726], [2035, 3841], [5064, 8493], [4501, 9319], [6645, 6667], [9855, 10199], [1753, 10544], [1854, 11350], [1275, 4503], [3052, 9759], [810, 2454], [6611, 10439], [2024, 5530], [1715, 8158], [5297, 10542], [3074, 4041], [7404, 11014], [8216, 10892], [33, 6145], [2297, 10765], [3701, 8303], [8372, 11405], [10359, 11021], [2673, 7080], [3377, 4981], [8953, 10404], [8586, 8890], [5644, 6866], [4477, 6989], [5191, 6332], [3376, 11172], [2732, 11070], [5647, 10547], [4059, 4786], [5986, 10013], [201, 6668], [3124, 3754], [3528, 7779], [749, 1023], [2818, 10063], [4714, 9561], [10024, 10169], [8101, 11477], [8815, 10820], [2435, 3128], [1817, 4247], [905, 4919], [3174, 9883], [8062, 9270], [1054, 8425], [963, 2645], [4326, 5665], [465, 8030], [7218, 7602], [3959, 4151], [1896, 5479], [5380, 11492], [2604, 4253], [4624, 6261], [3070, 5746], [52, 3138], [831, 9292], [1505, 2066], [577, 9375], [1635, 7774], [1506, 5674], [1294, 7481], [293, 3200], [9475, 11401], [2844, 7096], [2467, 11310], [4127, 5805], [1264, 3108], [5333, 7862], [3779, 10757], [1042, 4227], [8545, 9215], [4345, 7196], [126, 7409], [690, 3021], [7131, 7956], [6286, 9850], [2005, 2739], [5785, 11554], [1595, 10977], [3233, 4023], [7912, 11150], [4667, 11569], [5794, 6355], [1307, 1650], [2831, 5706], [806, 3354], [10389, 10401], [2266, 4207], [3885, 5117], [9612, 10709], [4008, 9654], [3695, 4993], [3538, 11425], [8333, 9867], [1115, 1830], [8828, 9846], [6671, 8506], [762, 7569], [9724, 11300], [4208, 6682], [4276, 10758], [1198, 3935], [1406, 4638], [2027, 7200], [3085, 5599], [5769, 7587], [1037, 6461], [8664, 9041], [7599, 8717], [9561, 10720], [722, 4356], [5383, 6770], [1021, 10839], [1052, 5988], [723, 7210], [1513, 11301], [10761, 11454], [900, 6348], [4659, 10122], [526, 3663], [3255, 3916], [390, 10972], [8953, 11022], [2482, 8130], [519, 6656], [5933, 7587], [5131, 6145], [5747, 8363], [8297, 9405], [4262, 9897], [833, 2093], [5091, 8998], [9817, 10309], [5720, 9923], [4409, 6160], [3757, 8449], [3913, 8962], [5451, 10472], [480, 3668], [2248, 8084], [2368, 8940], [7256, 7573], [10153, 10608], [1247, 8684], [6515, 10544], [2866, 3932], [901, 1631], [1310, 6754], [10119, 10243], [1989, 7042], [7253, 10658], [3860, 8927], [467, 2278], [6869, 7285], [5630, 10006], [6179, 6838], [2507, 4938], [917, 2514], [6395, 11566], [6708, 9811], [4665, 6853], [1293, 5245], [5119, 10241], [1726, 8510], [1129, 4090], [4628, 11135], [1359, 6996], [8136, 11126], [6962, 10078], [9013, 11399], [7915, 9437], [3620, 10564], [1980, 8777], [7828, 10192], [561, 11338], [5727, 5751], [38, 2114], [2641, 10364], [6135, 6485], [1677, 10846], [5340, 8496], [6902, 8872], [3015, 5852], [4228, 6074], [3511, 6433], [394, 9481], [1160, 4850], [4649, 4791], [5870, 11290], [4965, 8969], [5839, 9725], [4067, 7819], [10321, 10676], [4557, 5202], [6449, 7964], [1531, 9866], [3991, 5730], [6076, 8133], [1038, 9933], [1456, 1586], [4948, 7460], [2207, 9856], [689, 8998], [9178, 10819], [8899, 11404], [6468, 8364], [5031, 6182], [1822, 6258], [717, 8013], [1667, 2937], [1169, 4912], [1017, 10934], [3159, 8209], [325, 9660], [168, 9676], [636, 4826], [1265, 8003], [3624, 9477], [4372, 7650], [6460, 7318], [2723, 8029], [4994, 6650], [3838, 6962], [6386, 9089], [4859, 10397], [7321, 9340], [1688, 7547], [1099, 7152], [970, 4298], [6007, 9443], [8653, 10193], [185, 581], [0, 801], [4139, 10458], [6811, 10931], [5016, 5069], [2889, 8856], [704, 8501], [7529, 10393], [7462, 8417], [96, 3892], [1579, 8701], [1171, 4180], [3479, 9072], [3103, 9724], [4399, 5285], [908, 2265], [1976, 6270], [4431, 10458], [1475, 8728], [8071, 10568], [232, 3379], [5077, 7600], [7255, 10948], [4708, 10177], [658, 5473], [1220, 6674], [2276, 9164], [1459, 6690], [1054, 8856], [3459, 4259], [3361, 3724], [6002, 8294], [3242, 6476], [4322, 9360], [3802, 11014], [6773, 7390], [11198, 11217], [3390, 5593], [7712, 8541], [4474, 10131], [7558, 8074], [762, 5422], [5161, 10280], [5095, 5496], [164, 777], [7414, 7571], [4473, 9125], [3501, 9746], [4129, 9315], [5177, 7780], [7860, 8789], [2029, 11515], [1886, 8955], [3001, 8642], [9501, 10020], [3684, 5666], [4372, 6040], [6508, 9162], [1709, 6814], [721, 8400], [6486, 10312], [2439, 10043], [3179, 7601], [7726, 8947], [1623, 4007], [1619, 7271], [7498, 10251], [1670, 9488], [4018, 4357], [2762, 5219], [7581, 8973], [1573, 6522], [5714, 10590], [2412, 4059], [1254, 7708], [36, 726], [7332, 8619], [1198, 10782], [3055, 4690], [1436, 3026], [6774, 9789], [4119, 11205], [3233, 6682], [3714, 6955], [8440, 9764], [3989, 8880], [1038, 9746], [842, 5670], [5164, 8618], [4696, 7052], [6447, 10333], [6158, 10230], [3355, 4578], [3215, 8705], [1061, 4253], [1087, 3222], [4944, 9783], [1799, 8154], [562, 10167], [5066, 8433], [5780, 7022], [768, 10043], [8672, 8959], [4966, 8983], [733, 10988], [4681, 4835], [3246, 3480], [5551, 8855], [6017, 9594], [7706, 9745], [7329, 9795], [5426, 6874], [479, 10290], [3127, 5451], [2874, 5005], [1974, 3028], [563, 2821], [595, 11404], [4275, 10913], [4982, 8331], [2592, 5292], [7325, 10026], [10460, 10967], [191, 10762], [626, 9936], [2744, 8315], [7596, 8045], [6202, 8943], [6847, 10401], [1625, 5476], [5978, 7737], [2831, 4527], [308, 1898], [3107, 3644], [3563, 7859], [5472, 6064], [2671, 4245], [2103, 4727], [6863, 11284], [41, 2493], [7950, 8169], [10566, 10962], [2620, 3152], [1154, 2484], [2499, 5077], [1561, 6780], [6325, 10073], [3023, 9958], [4114, 5087], [7541, 10566], [5881, 6649], [1559, 3701], [3238, 5416], [2868, 6637], [6603, 10017], [2933, 4780], [1770, 3921], [3745, 6910], [1035, 10871], [3989, 7270], [162, 10717], [7161, 7312], [1094, 11451], [394, 9562], [4289, 6781], [500, 10712], [1649, 9229], [3729, 4872], [8266, 9694], [2102, 6730], [6646, 8559], [176, 10773], [4839, 7598], [5611, 10329], [9343, 10028], [764, 5281], [5736, 9277], [9189, 9561], [2506, 4312], [173, 1807], [3720, 8142], [6731, 7327], [5722, 8066], [4211, 8379], [7034, 8267], [2358, 10456], [97, 9517], [2762, 8065], [6743, 10720], [4229, 11587], [3567, 6772], [9246, 9664], [6128, 9104], [5279, 10098], [2325, 5031], [6273, 10956], [5466, 9924], [2644, 6474], [304, 2798], [2221, 3927], [2666, 8707], [7729, 7903], [7918, 10808], [7608, 9828], [4019, 10437], [8470, 9069], [5572, 6563], [4796, 7096], [1969, 3302], [10005, 11005], [7753, 9428], [7125, 9859], [3897, 5721], [3398, 4842], [602, 2613], [932, 8409], [2365, 6685], [2554, 9590], [221, 2921], [6296, 9977], [2282, 11346], [2733, 5391], [155, 10969], [7089, 7169], [7969, 11123], [2580, 7778], [4039, 11439], [4600, 9786], [4254, 9149], [5813, 5844], [2053, 9015], [618, 3496], [2736, 6039], [86, 10051], [3052, 10971], [3004, 6793], [2735, 8820], [1448, 9615], [2348, 5176], [2377, 4416], [487, 1700], [9702, 10041], [7362, 8617], [3600, 4545], [3625, 5541], [6711, 10727], [4655, 6810], [6055, 9110], [7385, 10671], [1091, 9169], [437, 9877], [153, 4456], [2176, 5981], [6095, 11168], [4947, 9843], [2715, 9642], [1425, 5258], [8962, 11328], [459, 11329], [7744, 8510], [1304, 7183], [3146, 9828], [778, 10520], [8930, 9538], [6555, 9813], [917, 2758], [3721, 11264], [4760, 10367], [2286, 3493], [2007, 4078], [8796, 10477], [2815, 8718], [893, 7999], [2627, 9421], [2816, 3658], [7855, 11128], [4467, 9741], [3084, 4412], [4097, 4546], [6165, 9254], [2443, 3827], [6696, 8890], [9099, 10636], [2031, 2570], [2815, 9068], [1874, 4838], [867, 8656], [6947, 9640], [2797, 7738], [85, 8620], [9558, 11335], [307, 1085], [4413, 8350], [7219, 11267], [4380, 5958], [9216, 11571], [1295, 4380], [4939, 7642], [501, 6963], [6936, 7946], [4283, 6025], [205, 6443], [2505, 10720], [5440, 9321], [643, 9298], [6300, 7735], [6181, 6323], [2752, 4181], [665, 5115], [6771, 7320], [257, 2846], [205, 3410], [2197, 9786], [5179, 8233], [1997, 5968], [417, 10648], [285, 1861], [7723, 8706], [2499, 7118], [2463, 7461], [2094, 9284], [4489, 6251], [2555, 10433], [201, 9303], [325, 4643], [4518, 4737], [5225, 7073], [1878, 7939], [5321, 7535], [6847, 8254], [3207, 11527], [6877, 9594], [2586, 6713], [6440, 9593], [11365, 11491], [3012, 8807], [2838, 6934], [1368, 9530], [4131, 8613], [4757, 7355], [5844, 9158], [1057, 10577], [6866, 8654], [2826, 8802], [4746, 7196], [1580, 3936], [1105, 6861], [7871, 11556], [2469, 7252], [8924, 10365], [4903, 10563], [8726, 9626], [3879, 4578], [2716, 7883], [381, 4551], [4897, 9994], [4840, 9460], [1312, 1677], [193, 10916], [327, 1282], [2076, 10152], [3680, 10784], [6510, 7679], [5042, 10348], [3715, 6052], [3835, 4656], [2052, 8253], [4176, 10584], [9923, 11193], [1251, 4003], [9181, 10556], [2082, 3931], [1521, 5584], [2486, 8710], [1925, 6199], [3730, 4081], [1839, 4173], [2243, 11204], [52, 11034], [4169, 10544], [7813, 10396], [1022, 7334], [1177, 4993], [6352, 10072], [8422, 11443], [2285, 7673], [1459, 8089], [994, 6040], [148, 4326], [112, 8052], [2634, 11210], [10165, 11049], [504, 8283], [108, 1867], [5789, 10524], [842, 7524], [40, 6836], [2924, 3994], [7469, 8677], [2676, 10281], [1554, 9423], [8178, 11059], [8501, 9992], [5915, 9293], [5344, 6094], [1058, 3557], [63, 11142], [8993, 10454], [188, 9336], [1985, 6576], [1037, 7591], [2105, 7432], [2284, 2479], [8512, 10531], [7175, 7799], [7197, 10032], [5896, 6957], [5798, 10586], [3283, 7818], [1196, 8752], [948, 10902], [4520, 6182], [1134, 1458], [717, 8525], [7594, 9853], [7623, 8339], [1912, 7387], [343, 5840], [1028, 3691], [1817, 10533], [5304, 9647], [6565, 9159], [720, 9173], [813, 5200], [9806, 11250], [6498, 10566], [1708, 6052], [2448, 4364], [5787, 9242], [10099, 11502], [426, 1529], [636, 2305], [3266, 9692], [3843, 5566], [4911, 5407], [6026, 11510], [2414, 10415], [5929, 11577], [1547, 2162], [2190, 2793], [1384, 10277], [3091, 7624], [9262, 10224], [3345, 10924], [8350, 10896], [2496, 9666], [3802, 5915], [2491, 2906], [6545, 7729], [3484, 10709], [4702, 7111], [9005, 10009], [877, 11385], [4764, 7989], [2486, 5945], [2864, 11001], [3404, 8471], [940, 9455], [8810, 9541], [250, 9008], [470, 10472], [3417, 6454], [765, 971], [4658, 7943], [4107, 10284], [2961, 4868], [2801, 7619], [9805, 10974], [7615, 10275], [5531, 10726], [7582, 7883], [9364, 10477], [7710, 10512], [43, 10785], [1199, 6309], [5347, 11548], [1163, 4400], [3098, 3826], [417, 6273], [565, 6925], [4814, 8052], [2774, 4668], [7579, 10968], [2909, 10720], [4619, 7584], [231, 4016], [1093, 5509], [6977, 9587], [8102, 9962], [1994, 4678], [1536, 3046], [4795, 6497], [5113, 5840], [7248, 7606], [7161, 8361], [6101, 9135], [1175, 4760], [1933, 10037], [3149, 9776], [1372, 5274], [2415, 3395], [9300, 11000], [3352, 10135], [4389, 8411], [2885, 5007], [5906, 9044], [1862, 8292], [2721, 3852], [2098, 11043], [4260, 9694], [2013, 8461], [5210, 11034], [1506, 10350], [4149, 5167], [907, 2851], [3463, 4839], [875, 9729], [5448, 10044], [3674, 11475], [5539, 10162], [962, 5941], [163, 11186], [1691, 6316], [3712, 4762], [3519, 11537], [4269, 9783], [1029, 4130], [6378, 11082], [2792, 11208], [9428, 9441], [4910, 9587], [1830, 6101], [1016, 9560], [553, 7584], [403, 4607], [3259, 6887], [1172, 3657], [10330, 11464], [485, 2727], [2720, 5855], [1147, 5290], [514, 1213], [7148, 9953], [6929, 8337], [6486, 10019], [1445, 1722], [161, 6952], [101, 485], [4495, 4999], [3559, 7529], [386, 3098], [8603, 8927], [4496, 7853], [1841, 5105], [571, 8513], [3393, 4793], [1378, 3883], [4950, 5579], [1247, 4366], [5761, 7484], [3206, 9104], [3369, 10034], [1274, 2779], [5668, 11457], [1117, 2795], [7811, 11586], [1806, 9433], [1930, 5527], [2448, 7210], [2494, 7555], [3182, 7175], [2206, 3890], [2610, 10921], [9420, 11027], [7431, 8332], [2636, 9890], [1562, 6040], [8764, 9410], [8891, 11437], [1577, 7102], [2862, 8890], [806, 809], [1852, 9027], [7216, 10595], [8895, 11556], [4573, 9362], [5220, 6729], [360, 722], [8143, 10231], [3284, 7078], [42, 1352], [5205, 9080], [831, 5942], [5919, 7669], [951, 10208], [581, 5013], [5920, 10523], [471, 7127], [4094, 9512], [1256, 1395], [5987, 9466], [384, 11265], [1346, 7704], [4132, 5081], [3335, 3983], [3049, 9813], [4363, 10841], [2460, 10172], [5199, 11113], [4263, 7227], [9920, 11326], [4538, 9152], [8266, 11361], [492, 5321], [3420, 9167], [2011, 2617], [264, 5871], [1987, 7858], [2080, 3885], [7604, 8394], [6513, 7603], [5840, 9015], [1759, 2746], [8660, 10884], [8751, 11002], [1817, 1970], [64, 2026], [3021, 4358], [6171, 7085], [70, 5978], [5238, 6880], [9159, 9484], [2316, 6986], [809, 6317], [3584, 6915], [1808, 7519], [7128, 8815], [1682, 2684], [3082, 4984], [10494, 10608], [3209, 11175], [1959, 11071], [4884, 8984], [1861, 1868], [269, 9197], [7146, 10525], [3541, 6437], [117, 4639], [581, 9469], [304, 4465], [7716, 10089], [1200, 3290], [4195, 8358], [7058, 7645], [10408, 10460], [2421, 3373], [2876, 3953], [4314, 8989], [386, 10132], [355, 10819], [6210, 9241], [2476, 6463], [477, 3080], [2223, 6771], [9005, 11245], [11297, 11497], [6424, 10890], [4055, 4564], [841, 4296], [2158, 11257], [6700, 10007], [5234, 9339], [2744, 10600], [468, 5219], [8307, 9402], [4523, 10267], [1057, 8243], [4608, 9062], [317, 2017], [5630, 6306], [8845, 9428], [55, 3737], [2517, 2680], [837, 7156], [1962, 7531], [5041, 5130], [6500, 8791], [5714, 7882], [1822, 4518], [5954, 7342], [830, 2952], [3381, 11012], [5673, 11264], [4457, 5109], [3555, 6469], [5029, 11162], [3811, 4180], [3912, 11402], [3305, 5540], [6794, 7733], [7267, 8145], [5426, 8354], [3430, 4488], [1852, 3579], [6738, 8555], [594, 10030], [10274, 10594], [8011, 8828], [5549, 6475], [3057, 5411], [9557, 10953], [6981, 10942], [3702, 6115], [2893, 3502], [8102, 8165], [714, 7099], [2825, 9225], [4131, 5474], [3270, 9841], [5541, 8462], [4328, 5988], [6532, 10557], [10446, 11236], [3393, 4956], [6186, 6887], [4156, 4191], [960, 10888], [4069, 4946], [3759, 6218], [9858, 11416], [2819, 4842], [291, 1869], [4716, 5696], [356, 6428], [607, 10211], [3222, 9396], [5713, 6825], [4963, 5573], [5304, 11501], [3115, 7994], [5948, 6318], [24, 5847], [86, 309], [3079, 9468], [1923, 3364], [6444, 9905], [6783, 7119], [5346, 11353], [9709, 10138], [7061, 8561], [1956, 9139], [4946, 7447], [1732, 9431], [2329, 7435], [1515, 5232], [4942, 9957], [4880, 9079], [3383, 9098], [3347, 7189], [5121, 5758], [1108, 10735], [421, 3389], [9564, 10164], [5214, 11584], [8385, 8772], [6802, 7519], [322, 9045], [2908, 7492], [6457, 7484], [323, 9647], [3089, 9001], [4639, 8616], [8818, 9004], [10115, 10425], [9812, 10616], [8757, 10980], [65, 1660], [9521, 9686], [1157, 6059], [472, 5956], [4637, 8920], [8830, 9014], [1063, 10561], [2393, 7204], [3723, 8765], [1046, 2286], [340, 7722], [206, 4524], [1771, 5171], [1148, 5946], [592, 7943], [2476, 5926], [8742, 10298], [1977, 9211], [3317, 10706], [2295, 7800], [1677, 8919], [741, 11449], [7425, 8972], [78, 2245], [6273, 9403], [726, 2466], [6212, 9881], [4401, 11430], [2197, 7615], [2596, 11296], [511, 2477], [628, 3062], [4055, 4377], [2563, 8904], [10180, 10796], [862, 1953], [10517, 10566], [5972, 11518], [2520, 6174], [9586, 10407], [954, 1892], [4871, 7006], [3418, 10707], [3946, 6662], [7929, 10144], [3631, 5338], [5900, 10302], [5311, 9907], [7754, 10328], [4865, 5656], [2434, 2616], [1597, 8535], [5384, 7941], [8914, 10135], [1091, 4233], [6794, 10929], [4461, 8424], [7565, 10806], [6660, 8485], [6140, 10139], [2362, 3679], [2401, 10023], [3325, 10142], [1563, 6672], [5472, 7007], [7877, 9580], [5640, 9035], [6318, 7967], [1395, 10279], [6383, 6864], [400, 9196], [6496, 10713], [8118, 11140], [3514, 3598], [704, 3191], [4592, 9819], [3286, 6400], [8339, 10550], [110, 2452], [6066, 8096], [1288, 6625], [1482, 9874], [2910, 7806], [2412, 6775], [3349, 7853], [1666, 2232], [8316, 11505], [972, 10711], [2715, 3551], [2, 1579], [9540, 9607], [8876, 9627], [7475, 10108], [246, 1158], [4671, 4985], [5457, 5894], [7343, 11120], [10054, 10767], [2055, 8581], [5534, 7080], [4573, 7833], [4069, 10020], [6599, 10787], [2237, 10692], [3235, 3378], [1948, 4173], [1891, 3639], [6464, 10370], [3324, 8331], [6376, 8271], [8987, 9966], [919, 9895], [10296, 10650], [676, 10137], [1287, 5595], [3136, 6001], [1567, 8618], [393, 7570], [8269, 10854], [1533, 1837], [440, 10799], [903, 5605], [5178, 8707], [1061, 2781], [2998, 3034], [2531, 10738], [4895, 10304], [5323, 8307], [2642, 4338], [715, 3275], [61, 4737], [4238, 10714], [162, 11205], [9424, 9566], [2017, 5040], [1965, 9014], [158, 8053], [8556, 9756], [2324, 9132], [5935, 10756], [2979, 11278], [5527, 8487], [5785, 7025], [3039, 4913], [7992, 11111], [76, 8428], [2734, 4277], [5530, 6506], [234, 5604], [1485, 8562], [261, 1011], [2946, 5853], [10910, 11236], [5373, 11403], [79, 4912], [6171, 8939], [6272, 9745], [6277, 10089], [5050, 9437], [6920, 10720], [6476, 6542], [6099, 10756], [1381, 1392], [1961, 3953], [5706, 8021], [3428, 7475], [5570, 11166], [3713, 10842], [10080, 10378], [1052, 1109], [10733, 10943], [1679, 7623], [6428, 9884], [4410, 7922], [7144, 8519], [588, 9461], [2639, 6618], [6390, 10531], [8076, 9253], [2916, 2954], [1505, 8409], [5252, 9140], [8980, 11349], [2067, 3948], [3304, 8728], [950, 1182], [2321, 4996], [4652, 10838], [4394, 10048], [725, 8419], [1043, 7008], [7488, 8679], [9281, 11462], [2492, 5817], [593, 5267], [684, 5385], [10090, 11042], [5638, 8021], [5910, 10429], [3546, 4447], [1032, 6068], [9361, 9886], [22, 3199], [4261, 10808], [9902, 10964], [2974, 5941], [9422, 11293], [81, 10195], [3040, 9190], [9516, 10928], [4165, 7313], [3351, 11526], [5555, 8925], [1885, 4442], [8175, 8454], [1112, 7902], [638, 1603], [3010, 8200], [3185, 6511], [5012, 8124], [1286, 5961], [5923, 7981], [5611, 6174], [1153, 6371], [2780, 5644], [1304, 4288], [780, 4288], [1396, 6506], [6621, 10948], [8780, 10082], [2147, 10612], [4506, 5670], [7148, 7432], [7337, 10337], [8495, 10852], [8245, 9923], [2691, 8231], [2664, 9791], [5491, 6415], [1611, 4566], [8085, 11139], [4723, 10973], [3223, 5059], [1409, 7091], [2283, 3683], [8351, 9568], [3120, 6809], [2060, 5331], [7641, 11098], [10034, 11402], [1665, 8185], [2152, 8303], [4984, 5271], [2623, 9386], [4736, 8175], [9870, 10247], [7472, 9599], [976, 10592], [3553, 7041], [5108, 11164], [2310, 8108], [2613, 5665], [177, 2281], [1209, 5875], [2494, 8417], [1455, 2898], [1487, 8071], [5351, 7135], [2240, 4336], [1431, 8139], [5130, 5446], [1706, 3648], [3656, 4136], [323, 1702], [1947, 3710], [1979, 8129], [4220, 9547], [3284, 4907], [3535, 8690], [6580, 7459], [1537, 4751], [8035, 9466], [2689, 6949], [3455, 6482], [9693, 10304], [10682, 11572], [6513, 9620], [1817, 10403], [341, 2631], [1800, 2128], [1118, 5706], [1266, 5604], [7222, 11248], [6408, 8291], [3677, 11375], [4546, 7623], [1267, 2796], [5250, 6278], [2540, 9485], [2149, 3413], [2854, 11338], [3542, 8706], [617, 4377], [889, 2621], [2105, 9530], [3571, 3782], [4037, 8685], [59, 6301], [5002, 5395], [298, 6317], [5158, 5908], [7700, 9718], [575, 1872], [4499, 7403], [6305, 11145], [3996, 9034], [4175, 11251], [8662, 9540], [3281, 10220], [1507, 5235], [1586, 3838], [7260, 9796], [4051, 5708], [40, 11512], [566, 10804], [2369, 7859], [4821, 5360], [8619, 9062], [457, 2940], [2203, 5877], [1668, 2335], [3753, 4738], [3347, 4050], [2239, 4753], [5373, 6223], [9041, 10633], [1999, 4542], [393, 8001], [515, 6678], [451, 11389], [4374, 8404], [2030, 3074], [4681, 8332], [686, 8253], [2031, 3676], [4295, 8296], [4386, 8414], [664, 2987], [6512, 10818], [5612, 8841], [3680, 7434], [9177, 10120], [6594, 8938], [4, 4634], [1277, 4907], [5788, 10760], [2328, 7053], [4353, 9405], [6851, 7251], [2584, 4764], [270, 2309], [4098, 8132], [120, 5748], [715, 7089], [245, 10358], [1673, 8290], [4221, 6253], [2982, 4810], [6122, 6849], [3446, 7388], [2632, 10847], [2749, 5770], [3884, 6833], [3010, 3825], [6464, 6963], [1077, 4445], [228, 2433], [1188, 5215], [482, 9897], [4204, 4744], [324, 2895], [7173, 8591], [7603, 8175], [8657, 9838], [4961, 10550], [8834, 8976], [4, 446], [597, 7376], [954, 5169], [305, 559], [8188, 11430], [8556, 9382], [3162, 9857], [63, 4409], [1892, 2685], [638, 9255], [6149, 7867], [8635, 11368], [2195, 3625], [1018, 3060], [5185, 8349], [3156, 8507], [1095, 4246], [1943, 6033], [2779, 6305], [7228, 11280], [762, 8732], [7926, 9336], [2840, 9964], [1728, 8296], [9899, 10774], [2748, 3959], [6829, 7976], [8969, 10840], [2900, 4730], [4271, 8544], [129, 10667], [4198, 6753], [1304, 2491], [6591, 7811], [55, 9405], [294, 5257], [2878, 9293], [545, 2624], [1141, 7573], [6151, 10141], [4525, 5054], [2257, 10114], [1942, 11042], [201, 2033], [4631, 6204], [2635, 8754], [1694, 10940], [7801, 10337], [353, 2804], [8045, 10697], [2468, 7301], [5973, 7775], [6547, 10491], [3966, 10136], [4520, 11476], [6977, 10075], [538, 5186], [161, 9400], [7191, 7560], [1310, 1501], [2929, 3165], [1803, 11233], [3264, 5141], [5750, 8642], [1454, 4663], [5127, 9417], [9418, 10046], [8179, 8603], [7403, 9136], [3609, 6307], [5780, 9982], [1458, 7788], [5682, 7195], [4448, 6096], [3018, 11501], [2884, 9057], [6466, 11441], [2165, 9370], [487, 4847], [3172, 8935], [493, 8045], [10388, 10483], [4414, 10649], [5119, 11404], [5238, 6400], [3371, 5388], [86, 7132], [6770, 11071], [3250, 7313], [2668, 10341], [9476, 10374], [9295, 11494], [1938, 6331], [1625, 1670], [2555, 5741], [500, 11094], [4696, 9207], [4742, 9552], [2863, 7025], [5139, 6744], [306, 4812], [3045, 6507], [1310, 7112], [2010, 8277], [8059, 9194], [9580, 10323], [4886, 5517], [8342, 9482], [1735, 8981], [7337, 9963], [3626, 8889], [10174, 11439], [4811, 9315], [2819, 2939], [9086, 10165], [6901, 10564], [3570, 4793], [9141, 9872], [5564, 5580], [1538, 5434], [710, 5777], [6582, 7586], [3464, 7026], [6335, 11092], [1284, 1353], [9048, 10812], [4342, 10907], [734, 886], [2062, 8036], [3865, 5091], [948, 11203], [4391, 10799], [593, 6316], [880, 9756], [3497, 9768], [8125, 9790], [4331, 9967], [8161, 10201], [600, 10870], [8401, 8907], [8060, 8614], [154, 203], [2461, 5651], [995, 4983], [4485, 10784], [2892, 8089], [3941, 9408], [5247, 5657], [7996, 8040], [357, 3945], [1914, 3977], [7607, 10739], [9112, 10581], [7519, 8640], [1392, 5558], [3883, 8649], [3164, 3300], [5655, 7145], [1202, 11096], [292, 2015], [6527, 7074], [173, 4767], [737, 6795], [1261, 5260], [4740, 6765], [316, 9956], [2346, 6236], [233, 1785], [1506, 2812], [9102, 10243], [3622, 10944], [821, 2709], [45, 2488], [9248, 9314], [3307, 5456], [1307, 11270], [10622, 11147], [27, 404], [3273, 10009], [1210, 11337], [3111, 11179], [5914, 8163], [2588, 3490], [4707, 11139], [3771, 7253], [407, 10424], [8590, 11007], [7714, 11336], [4321, 4687], [9141, 11295], [180, 10418], [7212, 9405], [9018, 10141], [2659, 10496], [1645, 4445], [4685, 9286], [4377, 4969], [908, 3428], [1532, 6261], [1385, 6965], [2094, 5210], [4648, 6371], [4579, 8486], [4424, 11581], [2127, 4569], [2999, 6750], [5707, 6126], [191, 1508], [5137, 6535], [1098, 10291], [2640, 9291], [804, 9090], [3587, 10303], [2080, 9634], [4043, 11108], [3759, 11349], [5781, 7768], [3506, 10903], [801, 8792], [1367, 5231], [1919, 5744], [4324, 8317], [2292, 11210], [1048, 2253], [304, 11369], [1297, 10127], [1171, 4538], [3447, 4257], [945, 8921], [3854, 8553], [2316, 9702], [9126, 9808], [3957, 8681], [3518, 11263], [686, 1463], [756, 2202], [2901, 9574], [4807, 9760], [685, 3490], [122, 8480], [4014, 9565], [3982, 10027], [2480, 9702], [54, 7006], [4841, 5587], [3104, 9529], [2013, 10990], [9487, 10322], [728, 6196], [1366, 7207], [7493, 8037], [1486, 11473], [6338, 11203], [2317, 4985], [4842, 5408], [3591, 8866], [5365, 7435], [1729, 1782], [3618, 4273], [5899, 11506], [6892, 9510], [3583, 8224], [7980, 10003], [5606, 7497], [33, 8007], [2001, 7573], [3117, 3698], [1002, 11252], [5007, 5633], [3451, 6203], [3413, 9883], [11363, 11396], [3582, 8349], [7587, 9146], [2981, 7193], [1393, 4842], [5840, 6738], [19, 730], [146, 2757], [8461, 9121], [982, 3029], [8382, 10548], [2687, 2959], [9567, 10974], [6802, 8812], [826, 5899], [6822, 9464], [7511, 10440], [7108, 9269], [8462, 8972], [1039, 10329], [3621, 7122], [784, 2640], [1214, 8640], [8440, 10122], [1771, 9497], [6721, 9762], [6531, 8884], [4855, 5188], [500, 6264], [6195, 7437], [3915, 10228], [4156, 6907], [4870, 5496], [3727, 10931], [6996, 8654], [2051, 2317], [7522, 7946], [6584, 9649], [2007, 5428], [1761, 1989], [1943, 7887], [3813, 9170], [1573, 2692], [8489, 10364], [2003, 2276], [886, 5926], [5123, 6292], [101, 2209], [3003, 7086], [10024, 11576], [4554, 7303], [7293, 8244], [5832, 7920], [5233, 9089], [2562, 10726], [561, 6516], [5199, 7226], [7819, 10919], [30, 10263], [157, 11536], [2399, 6009], [1929, 9278], [6165, 10954], [3204, 4716], [8398, 9845], [5636, 10610], [5820, 6755], [1049, 6455], [61, 8795], [10295, 10699], [518, 6038], [3194, 5876], [2158, 4792], [647, 5105], [8544, 9266], [860, 6152], [7018, 8547], [137, 9729], [8535, 11432], [4277, 4527], [5419, 8289], [1979, 5958], [2524, 3802], [5925, 10312], [5261, 10332], [7009, 7680], [3365, 4418], [5116, 7699], [2786, 11127], [2331, 3407], [7043, 7264], [6286, 11257], [5766, 8747], [3997, 11276], [2588, 4726], [7247, 10477], [1798, 6327], [400, 10489], [1465, 3643], [7008, 7428], [6380, 7859], [4666, 7089], [3668, 8741], [4192, 7206], [4942, 5452], [4971, 11108], [3197, 6123], [3320, 10660], [1298, 5573], [849, 7467], [5267, 10877], [9009, 11264], [1825, 7719], [1154, 5070], [7454, 10524], [1527, 10536], [8224, 10176], [3021, 9465], [1772, 7334], [2086, 9187], [2370, 2530], [4054, 4589], [2053, 6795], [3080, 3629], [1055, 1277], [3293, 11092], [4738, 10883], [1956, 6862], [649, 3972], [1242, 10902], [392, 1872], [4598, 7089], [5035, 7844], [608, 938], [4121, 7689], [888, 3207], [6684, 10848], [478, 5029], [2940, 3218], [489, 2155], [3677, 6894], [4680, 6340], [7388, 7968], [113, 9977], [3551, 8475], [3287, 10846], [4922, 5873], [2491, 2833], [902, 3263], [3677, 3861], [2089, 2264], [712, 887], [2026, 3413], [5515, 9770], [971, 8695], [8469, 9175], [1741, 4183], [6161, 7666], [4108, 9682], [3258, 11232], [9863, 10906], [4221, 7115], [3608, 8578], [614, 6364], [3164, 5154], [7157, 9324], [7145, 7809], [4531, 11478], [2007, 5241], [2793, 6150], [2817, 4292], [2378, 7628], [2312, 9260], [579, 10692], [9189, 11342], [1261, 4081], [8172, 11409], [1911, 5883], [10159, 11025], [5701, 8970], [2215, 6294], [6038, 7609], [1282, 8341], [5814, 6403], [5757, 5869], [526, 9526], [8179, 11075], [3264, 10996], [186, 3419], [4855, 10612], [2570, 6643], [1417, 10636], [2547, 11355], [178, 2777], [1552, 3856], [6896, 9710], [2350, 7808], [543, 6847], [5488, 6768], [1914, 8409], [1664, 1818], [6309, 10115], [3783, 9467], [1347, 6083], [5798, 11131], [7950, 8340], [7728, 10213], [6427, 7138], [1159, 6032], [2033, 2624], [4488, 4560], [1777, 1880], [5472, 8113], [4398, 5017], [7135, 9295], [6371, 6455], [7460, 11337], [467, 5108], [10327, 10743], [7304, 10043], [11201, 11499], [8176, 9972], [9296, 10003], [7241, 8940], [7889, 9915], [8773, 11359], [7307, 10691], [10375, 10410], [576, 2018], [1138, 7383], [9166, 11061], [355, 6745], [3832, 5171], [2006, 10576], [1755, 6793], [5115, 6886], [6142, 10136], [7572, 8895], [3334, 11310], [7501, 10183], [4557, 5804], [2220, 8061], [6294, 10907], [7510, 11400], [1968, 11223], [3084, 7348], [3049, 4129], [1108, 4888], [2652, 11074], [4200, 6856], [9795, 10077], [6989, 7914], [2264, 3795], [2286, 5274], [1945, 11397], [2516, 8180], [458, 9852], [7710, 11057], [3903, 9494], [2499, 9704], [193, 11274], [631, 10719], [731, 2255], [5586, 11328], [4768, 5219], [9432, 11314], [10015, 11140], [1152, 6634], [6837, 7119], [8029, 8716], [596, 9385], [31, 7132], [3011, 7004], [1178, 11238], [1706, 4941], [1701, 4597], [188, 4083], [4510, 7031], [2208, 6091], [43, 7142], [5466, 5907], [6087, 8469], [9357, 9800], [4558, 6698], [5404, 8412], [4719, 7555], [2847, 6199], [1627, 8970], [1697, 7457], [3402, 3977], [1540, 3309], [449, 8934], [594, 5151], [1221, 10911], [2557, 10008], [5105, 7217], [745, 7949], [8152, 9065], [7443, 7814], [3601, 3813], [6875, 9050], [992, 2164], [1745, 7097], [626, 9920], [10762, 11289], [3570, 4850], [3250, 9598], [5870, 9127], [7554, 11186], [1236, 11542], [3323, 8356], [6637, 11514], [3655, 10815], [3846, 3967], [7951, 8378], [6368, 7125], [7760, 8810], [790, 4285], [8668, 11402], [2035, 3264], [2310, 7441], [1133, 11040], [3719, 5323], [7011, 10385], [2458, 11476], [8125, 9847], [2831, 3356], [5265, 10831], [6013, 9004], [3267, 3886], [3518, 7669], [6632, 10739], [2709, 5810], [646, 7138], [9887, 10284], [80, 2031], [9983, 10746], [2426, 8905], [6710, 9117], [4289, 6765], [980, 9643], [3356, 6560], [2198, 10209], [641, 3761], [1640, 11379], [4976, 11078], [5494, 6345], [8607, 9190], [1074, 9655], [9195, 9360], [1979, 11195], [5608, 10015], [3029, 4071], [1193, 4624], [2067, 7632], [594, 9957], [1344, 4039], [5167, 9518], [6852, 8769], [8815, 10243], [23, 10141], [1339, 7078], [2829, 5888], [1118, 5389], [3144, 10595], [2702, 10250], [2353, 2926], [1490, 4214], [5374, 6936], [448, 8977], [2605, 7284], [7297, 9011], [304, 9198], [4163, 10924], [4650, 10288], [5334, 10920], [131, 3793], [8790, 10721], [4247, 6084], [2523, 11042], [6912, 11048], [1010, 10528], [6977, 9945], [2584, 8285], [2708, 3625], [8346, 10680], [1744, 10523], [7594, 8601], [2274, 7305], [7807, 9648], [651, 2489], [1399, 7078], [4986, 9806], [5729, 7635], [5195, 6947], [8803, 11306], [840, 8777], [6248, 9139], [5615, 9226], [1072, 11005], [7171, 9787], [1388, 6515], [5467, 5541], [7201, 11127], [3302, 6592], [1440, 5924], [688, 10261], [11047, 11113], [539, 10892], [412, 2449], [5852, 8765], [4979, 8611], [436, 10390], [6074, 10275], [2184, 3574], [1895, 3471], [2275, 2938], [10363, 10831], [6810, 6933], [3360, 4668], [1615, 11001], [6498, 11542], [648, 5550], [4543, 8431], [4911, 6383], [1477, 4651], [4544, 11285], [3071, 7948], [772, 6525], [7792, 10413], [6763, 9746], [1572, 4888], [890, 4302], [1941, 5694], [5451, 6512], [8850, 9943], [4120, 5480], [3337, 11258], [5522, 8607], [4839, 5167], [1847, 3780], [6356, 8052], [10378, 11462], [1772, 7578], [6914, 10265], [2272, 7901], [1282, 7162], [2531, 10047], [9052, 10050], [1836, 2086], [2328, 8964], [2919, 8651], [501, 3564], [6308, 11394], [6031, 6390], [6287, 10517], [3906, 6840], [7770, 8156], [5712, 10582], [2355, 10006], [2325, 5633], [5272, 7277], [2474, 8385], [645, 3693], [3759, 6763], [6641, 8012], [3367, 3529], [165, 612], [10725, 11546], [1379, 3688], [8562, 9260], [1227, 6300], [317, 3635], [1011, 11371], [1994, 2271], [3337, 10453], [6298, 10275], [4512, 7939], [7533, 7812], [4207, 7303], [6920, 10029], [41, 11284], [1996, 8733], [3833, 4618], [3741, 11445], [1150, 3986], [4102, 6728], [6281, 8766], [4904, 10799], [4226, 7703], [2168, 9375], [7894, 9861], [3859, 6189], [3477, 10059], [3873, 10059], [2355, 2785], [2201, 8734], [7108, 8171], [4124, 4393], [2374, 10382], [1541, 10381], [9471, 10518], [6021, 7499], [2845, 3551], [2525, 4135], [1783, 9914], [446, 4930], [2841, 6061], [8699, 11170], [1717, 11546], [260, 6460], [2870, 5301], [3768, 6451], [5705, 8956], [1534, 3925], [620, 10186], [7435, 10636], [8257, 11202], [1662, 8806], [1378, 2631], [32, 6229], [3669, 9074], [2153, 9043], [2855, 6117], [3192, 3258], [3350, 3844], [4444, 9070], [5445, 7689], [7460, 9353], [6494, 9008], [5152, 10096], [4911, 7001], [9386, 10945], [8696, 9744], [6779, 9369], [2918, 7570], [3441, 9597], [4664, 10507], [5779, 10194], [542, 4237], [555, 8606], [6553, 7336], [7456, 8830], [1283, 5403], [200, 10135], [3681, 6051], [5561, 5770], [6608, 10426], [10756, 11501], [3712, 10999], [5983, 10374], [1435, 5393], [6538, 8152], [781, 6855], [794, 11224], [815, 9849], [1092, 8437], [6785, 8783], [138, 9607], [3736, 6108], [6781, 11293], [4826, 8182], [2857, 8391], [3604, 3710], [6635, 8435], [7036, 9533], [8252, 9272], [6714, 10421], [3218, 7057], [2194, 6734], [5254, 6535], [170, 1574], [773, 9192], [663, 11306], [3673, 4604], [4390, 6874], [8094, 10941], [5236, 8588], [403, 6656], [1225, 7222], [1244, 7272], [7563, 10524], [376, 8216], [8588, 11449], [5074, 6725], [10025, 10598], [4478, 10077], [4877, 9594], [5037, 5345], [5539, 6495], [1433, 10527], [3316, 9039], [169, 9993], [3768, 7069], [2004, 2772], [3554, 8049], [1651, 11544], [4767, 9025], [852, 3957], [186, 7314], [866, 1411], [5292, 8092], [681, 877], [7002, 11372], [1553, 7976], [5826, 7999], [1335, 9968], [557, 6668], [1458, 8089], [5744, 8374], [1322, 1812], [7670, 9966], [1952, 5591], [3166, 5257], [693, 8407], [3463, 8661], [287, 549], [3715, 8882], [1535, 9625], [2474, 10776], [1313, 4328], [5208, 7963], [2190, 5355], [6412, 10351], [8555, 10480], [6188, 8364], [3923, 9935], [5745, 7794], [4235, 10961], [6506, 10336], [1541, 2623], [642, 1248], [5533, 6568], [1257, 6247], [2855, 6280], [2259, 5468], [203, 1551], [822, 9702], [4464, 6475], [288, 9768], [1657, 10503], [5105, 9689], [809, 2300], [9688, 10692], [2625, 10140], [1942, 6700], [4293, 6778], [5468, 11434], [5755, 10710], [2135, 2584], [3139, 11300], [2335, 9785], [6867, 7093], [2450, 7291], [7369, 8243], [6183, 9844], [7559, 7586], [9675, 10056], [1012, 5638], [927, 3056], [2632, 10156], [4838, 4972], [7264, 7668], [165, 1043], [140, 9092], [5675, 8098], [9413, 10995], [1416, 3220], [2128, 11562], [387, 2553], [662, 10894], [1347, 5335], [15, 695], [7358, 10686], [8134, 10153], [8499, 8588], [4897, 8181], [5632, 8401], [4302, 4588], [8914, 10493], [2611, 4741], [2581, 9036], [6745, 8392], [2118, 4808], [1421, 9606], [8458, 8937], [4258, 7672], [6348, 10419], [4946, 5040], [987, 6870], [832, 2795], [2235, 3114], [4060, 10316], [710, 1085], [7673, 8603], [3536, 4654], [9542, 9661], [1142, 10541], [5839, 6196], [538, 4950], [2604, 7303], [4583, 9310], [4068, 7144], [3600, 5578], [1129, 3139], [2808, 11270], [3488, 4613], [3468, 6590], [1493, 3601], [2582, 8483], [3583, 7102], [3500, 5347], [1339, 3134], [962, 7348], [1342, 7569], [1224, 9011], [8061, 10940], [408, 2975], [5506, 6144], [2173, 3710], [6713, 8049], [2368, 10567], [7215, 9199], [4691, 10132], [4849, 6554], [6062, 6776], [7751, 9179], [6777, 8973], [7548, 8850], [3076, 9341], [9130, 10632], [3497, 3921], [1354, 7929], [175, 6537], [7234, 7347], [3588, 7422], [4830, 8382], [4142, 4598], [4702, 9136], [3714, 9224], [9438, 11135], [8753, 11032], [1489, 6060], [9625, 10961], [3648, 4440], [7595, 8265], [1277, 7867], [1308, 7180], [1524, 7744], [3384, 6087], [5691, 7371], [9827, 11095], [4111, 9799], [2743, 5502], [6781, 8691], [3603, 3916], [581, 6070], [1711, 10953], [1138, 11091], [2609, 5687], [2769, 3690], [6305, 9112], [5113, 7515], [5592, 6961], [1722, 5076], [4622, 6874], [8230, 11233], [28, 1548], [3639, 8834], [1989, 6359], [6574, 8189], [7436, 8928], [4554, 6181], [4700, 5252], [1245, 4895], [8414, 10007], [188, 8596], [2738, 7386], [2675, 6283], [7157, 7234], [519, 11584], [6632, 10796], [7563, 7922], [3363, 10821], [1367, 6955], [3612, 7361], [553, 10414], [6876, 11156], [1769, 10907], [6185, 6320], [3516, 10282], [3467, 4004], [1259, 9115], [1383, 4455], [2009, 3197], [734, 6261], [361, 7211], [8581, 11059], [7058, 9857], [1481, 10625], [2668, 5462], [3351, 9656], [9344, 9540], [8289, 10658], [321, 7031], [1792, 2381], [7390, 9283], [3188, 11355], [1246, 4342], [2276, 7863], [2033, 8105], [5455, 6824], [2930, 3368], [192, 5281], [3542, 8096], [1861, 6308], [6561, 7896], [5850, 6572], [394, 5415], [3549, 8486], [4358, 4683], [2675, 5478], [5256, 5833], [887, 2315], [2672, 5180], [7207, 9175], [8865, 10013], [73, 9911], [1444, 7309], [301, 5574], [817, 10594], [517, 3886], [1251, 10297], [2777, 11016], [5920, 10320], [10503, 11323], [2807, 4442], [1118, 7674], [7995, 9002], [5789, 8524], [1527, 6381], [6009, 6578], [7590, 11168], [252, 2275], [706, 2253], [7741, 11337], [1454, 11006], [1543, 3127], [1288, 2608], [1585, 6736], [5083, 6039], [2383, 4272], [175, 9383], [3232, 9667], [2914, 3908], [2783, 11561], [2721, 10683], [6959, 8268], [1858, 11217], [5246, 11106], [6765, 10654], [1375, 1449], [3160, 10730], [7580, 10049], [5260, 7779], [8410, 10506], [417, 9266], [340, 940], [6439, 8390], [2961, 3323], [937, 8743], [443, 7454], [2836, 7758], [9147, 11149], [9481, 10271], [4037, 6465], [207, 3979], [5785, 10229], [4260, 8954], [5748, 11101], [9975, 10025], [235, 2994], [6339, 10788], [3099, 5135], [702, 7341], [8355, 8890], [4086, 9740], [8604, 10348], [3158, 9879], [8638, 9178], [4255, 8206], [3025, 10289], [6483, 10917], [6391, 11328], [2090, 2841], [5949, 10983], [3218, 7651], [601, 7639], [5396, 6081], [4558, 9146], [1165, 3251], [38, 2049], [6756, 8982], [256, 1188], [6379, 6780], [2218, 11105], [4574, 6646], [8088, 10589], [4392, 10547], [3010, 8826], [1045, 10689], [9699, 10857], [979, 5905], [2909, 4987], [1699, 8446], [4500, 4603], [8230, 9891], [7767, 7915], [3574, 7821], [7083, 10666], [5994, 10702], [2200, 3709], [2814, 11516], [2602, 7661], [5706, 7037], [1936, 11018], [8945, 9055], [3157, 5439], [4960, 8910], [5335, 8033], [1690, 10962], [1814, 7056], [5267, 7340], [3393, 10819], [1404, 2462], [2183, 2200], [4320, 4793], [3920, 7303], [1517, 2524], [2265, 7113], [4792, 10615], [9212, 9934], [4257, 7073], [210, 6804], [1972, 3858], [3695, 11507], [3654, 5090], [3066, 5297], [5619, 10020], [5679, 10825], [827, 4679], [2102, 5779], [7241, 11201], [6300, 6971], [4426, 11204], [10936, 11018], [2715, 9951], [8821, 9904], [4738, 9224], [1397, 3519], [8618, 8794], [1424, 4561], [7965, 10858], [4942, 9404], [96, 7210], [955, 2770], [5629, 10307], [742, 11522], [3108, 7751], [4684, 8587], [9102, 11243], [8136, 8646], [4337, 7725], [2162, 2396], [2757, 3737], [76, 6184], [1284, 1898], [6015, 9969], [9442, 10530], [4528, 8424], [2871, 10440], [4084, 6498], [3846, 7838], [6909, 7213], [7063, 11063], [6662, 10719], [6760, 7090], [6127, 7177], [4799, 9826], [1869, 5153], [406, 8166], [1457, 6148], [1617, 8315], [3329, 5252], [2587, 11031], [5691, 6997], [3457, 10887], [4345, 10595], [8648, 9329], [5441, 6068], [3546, 9424], [2263, 4676], [1726, 5225], [2818, 3208], [3711, 4014], [5581, 8707], [4612, 8845], [1697, 9368], [6960, 10130], [4489, 9943], [514, 11240], [6359, 8974], [6674, 8046], [1787, 5097], [9285, 9741], [9777, 10203], [3026, 4261], [4232, 9728], [3901, 10123], [1150, 11077], [928, 6534], [8180, 9991], [7336, 8323], [2052, 6684], [1264, 5702], [9111, 10500], [1174, 2776], [7894, 10536], [5026, 6741], [7178, 11120], [4819, 9646], [4196, 10421], [6149, 10453], [1354, 5595], [7466, 10998], [2157, 3475], [2936, 3213], [960, 11303], [3911, 10437], [943, 3028], [3716, 9969], [2591, 3178], [15, 3167], [2224, 8080], [8258, 8719], [40, 11333], [1095, 3799], [3992, 8332], [3746, 5647], [4463, 7917], [874, 8526], [4709, 4940], [7532, 11244], [3089, 10221], [97, 8834], [5755, 5961], [1393, 10030], [2867, 8307], [10205, 11538], [1893, 8101], [3973, 10160], [1895, 8147], [771, 10626], [4381, 5232], [7751, 9423], [740, 9061], [10485, 10774], [8737, 11174], [1509, 1695], [3537, 3564], [3100, 7727], [5216, 5279], [6521, 8473], [1173, 11545], [2094, 7983], [4179, 10386], [2849, 7327], [1531, 8809], [2439, 4985], [381, 10821], [1499, 10025], [716, 6381], [2099, 5294], [6206, 6368], [9561, 10281], [4081, 10982], [1187, 5966], [2425, 10190], [3963, 6008], [8182, 11487], [7591, 11019], [5920, 6913], [7964, 9315], [2181, 10961], [268, 2434], [740, 11289], [8549, 9187], [6830, 8827], [1853, 7116], [581, 9697], [6364, 6553], [9541, 11103], [5085, 5711], [1819, 5253], [8608, 10898], [7541, 10501], [5292, 6189], [4300, 11039], [723, 2583], [2280, 3369], [4854, 5963], [750, 11576], [6548, 9464], [1744, 6018], [3609, 11121], [348, 11007], [8469, 10712], [2461, 9042], [5668, 5887], [4073, 9535], [1117, 10057], [494, 10832], [3799, 10464], [2894, 8143], [3455, 10654], [253, 1321], [5172, 8689], [6966, 10162], [1950, 9277], [7994, 8352], [2956, 5988], [3504, 9011], [5446, 9608], [1847, 9529], [2881, 3370], [8837, 9014], [2194, 6604], [6674, 10892], [5151, 9690], [6147, 7211], [2186, 5962], [2380, 9211], [7514, 11283], [3596, 8950], [5914, 8171], [6613, 9835], [7384, 9712], [1441, 4273], [661, 11480], [1550, 8380], [4662, 8371], [0, 2322], [3009, 4844], [2486, 3571], [871, 9196], [1151, 11465], [2722, 4787], [2471, 4387], [6390, 10328], [3969, 7976], [2775, 5552], [9908, 11007], [2195, 2991], [7234, 8209], [5238, 10759], [2097, 11501], [222, 10628], [2066, 9936], [2375, 11445], [32, 3334], [200, 5362], [4427, 11456], [819, 1435], [3395, 4075], [2884, 5845], [1369, 8668], [1983, 3643], [5587, 10512], [4164, 6508], [6123, 8240], [3747, 4907], [8664, 11448], [948, 8796], [3534, 7243], [7673, 11238], [2441, 5625], [512, 9397], [4080, 10193], [9496, 11197], [1585, 2442], [4730, 4825], [11185, 11348], [3964, 10210], [7410, 8569], [371, 9165], [5142, 7213], [1064, 6877], [1095, 6190], [9669, 9812], [5629, 6550], [10611, 11234], [7794, 8158], [1694, 2735], [1614, 11077], [112, 10752], [8412, 10422], [4805, 9671], [3585, 6026], [2685, 4049], [818, 8699], [1506, 6821], [7333, 9611], [5862, 8599], [8386, 8420], [3403, 9927], [784, 6836], [968, 9397], [5456, 10540], [2501, 8254], [5013, 9970], [1969, 8393], [472, 8412], [3703, 9815], [3046, 5344], [5981, 10361], [3673, 5442], [4793, 5473], [8955, 10418], [6123, 6280], [6651, 8651], [8609, 9781], [1582, 11138], [5448, 6865], [4448, 7690], [5152, 5591], [3722, 4580], [3780, 8722], [897, 8002], [6869, 7009], [1788, 5729], [3812, 10108], [3504, 5791], [4837, 11033], [2994, 10415], [2491, 9794], [2685, 6627], [3399, 5216], [6229, 6275], [6597, 10643], [3374, 6849], [7691, 9453], [318, 10173], [6132, 6342], [6787, 7734], [3518, 3595], [1271, 3116], [6933, 7559], [1654, 2100], [5138, 8113], [1647, 11509], [2358, 7171], [869, 11215], [4966, 9349], [2674, 2681], [26, 1104], [2763, 8388], [2045, 5139], [9230, 11538], [9106, 9782], [4401, 6315], [3323, 9893], [9224, 10188], [421, 10651], [227, 986], [5402, 6065], [6773, 9879], [3129, 10027], [6575, 9140], [1566, 5262], [7096, 8088], [5697, 8642], [3933, 10761], [6791, 7452], [2835, 8799], [1035, 2593], [7561, 9356], [1279, 9369], [5878, 10905], [10391, 10415], [10050, 10122], [98, 4898], [5858, 6466], [6694, 6738], [6377, 11003], [467, 6458], [2955, 4370], [2765, 9908], [432, 7403], [1330, 2137], [7470, 10342], [8399, 10805], [1985, 4283], [6215, 7642], [5432, 6250], [7049, 7087], [3260, 11018], [3786, 3894], [7074, 8837], [1754, 7541], [539, 4240], [172, 6890], [3558, 7450], [1040, 5165], [3429, 8733], [6858, 7869], [4291, 7974], [7014, 8382], [1679, 1890], [8318, 10974], [7685, 11061], [35, 6777], [1401, 3077], [933, 1511], [1779, 2471], [7001, 7396], [1521, 1681], [9051, 10744], [2268, 9051], [1205, 3138], [5998, 11333], [298, 4154], [1648, 7091], [5836, 6841], [3661, 7928], [2050, 3873], [6368, 10085], [739, 10663], [4800, 9140], [1570, 10591], [7014, 7227], [4428, 6528], [6487, 8464], [2817, 3227], [1136, 1439], [1318, 6583], [4807, 8776], [4397, 10598], [6072, 9161], [6514, 9506], [7136, 9260], [2714, 9114], [7124, 7745], [8550, 9014], [5692, 5907], [9453, 10508], [4580, 10655], [4172, 8386], [2801, 5326], [143, 2307], [9640, 10334], [9645, 10678], [1672, 7461], [180, 7824], [1491, 4417], [3767, 4136], [3665, 3859], [857, 11449], [1605, 9622], [2134, 8431], [10284, 10786], [7077, 7525], [2999, 7189], [1192, 10392], [1343, 10561], [4801, 11189], [412, 603], [2678, 6050], [7411, 10030], [4176, 4721], [8009, 10888], [7, 2769], [8221, 9081], [41, 8015], [1691, 4828], [5330, 7746], [3360, 5855], [5760, 7330], [3925, 10737], [5785, 8326], [2772, 8314], [2084, 4530], [8183, 9728], [96, 4689], [215, 439], [2828, 9377], [5634, 8130], [4106, 10748], [424, 3996], [3949, 5846], [6060, 10224], [5098, 10779], [5535, 11534], [1731, 3853], [9022, 10648], [5591, 7679], [90, 8257], [9706, 11280], [10821, 10967], [6593, 7654], [9568, 11346], [5559, 6643], [5567, 6504], [393, 11449], [235, 1441], [3383, 9757], [580, 4859], [5607, 8562], [3320, 9408], [543, 11393], [6548, 7130], [6541, 10123], [1873, 6538], [2313, 6810], [1382, 2514], [4773, 8336], [6387, 9656], [6113, 10585], [4427, 7699], [7104, 7762], [1091, 6502], [7531, 7829], [5521, 6509], [4045, 5153], [1278, 8580], [9566, 10869], [3300, 4245], [378, 4351], [5112, 11185], [4391, 9173], [2931, 5287], [403, 8730], [2392, 5009], [8393, 9672], [10504, 11044], [8946, 10787], [6124, 8091], [3039, 5759], [1785, 3284], [3197, 7099], [4255, 5498], [3787, 3932], [12, 7569], [793, 8134], [6990, 9703], [6964, 8482], [3776, 9435], [513, 9248], [8448, 9729], [1539, 6611], [2997, 5883], [525, 2842], [1529, 11558], [502, 5302], [9118, 9150], [8782, 9201], [2218, 5364], [3889, 7218], [6972, 8723], [5874, 6007], [4387, 10878], [4256, 7951], [3943, 7454], [3294, 9260], [2210, 8886], [1833, 8936], [6224, 7517], [2149, 10862], [1244, 8541], [919, 2365], [946, 4188], [5271, 10817], [3909, 10472], [917, 9085], [6214, 9431], [3468, 10729], [8421, 10511], [749, 4024], [7207, 10818], [5607, 6952], [3373, 4426], [847, 10948], [6542, 11367], [5854, 7583], [273, 10861], [813, 8331], [1609, 9204], [6135, 9673], [3320, 9676], [2738, 10452], [4629, 9606], [988, 10025], [2444, 3589], [9952, 11173], [420, 10507], [7856, 7857], [4653, 11131], [608, 7525], [4770, 6054], [2976, 3046], [6427, 8919], [8911, 9341], [3025, 9354], [3056, 4503], [6695, 8175], [4366, 8041], [6071, 10977], [875, 5021], [1679, 6509], [7291, 11589], [5044, 11110], [1331, 2793], [3543, 11387], [962, 11032], [2367, 7260], [2541, 2717], [7905, 9947], [835, 1808], [7803, 9670], [6003, 9880], [9477, 11041], [8673, 9526], [2725, 7907], [3322, 6665], [8299, 11005], [5331, 10012], [10838, 11134], [2405, 5458], [3344, 7363], [8786, 9588], [1343, 3153], [2158, 2548], [4799, 7118], [682, 1192], [3923, 9699], [3018, 7378], [5428, 10295], [7689, 8228], [5863, 9469], [3766, 5551], [3915, 9057], [1745, 10488], [6963, 11507], [1890, 3672], [5819, 10301], [4594, 8564], [4790, 5470], [4532, 11096], [4938, 6122], [5600, 10937], [6436, 8957], [8296, 9552], [1644, 10032], [2141, 10838], [4741, 8991], [147, 1383], [4462, 9576], [4033, 7184], [2605, 2836], [2947, 5983], [1641, 3318], [6864, 11097], [1038, 11161], [2745, 8508], [3927, 9417], [1077, 4673], [8040, 11437], [67, 4056], [6398, 8823], [8072, 10194], [8005, 8972], [6606, 9526], [6291, 8202], [2065, 5716], [9644, 11288], [1870, 10910], [530, 2999], [5550, 10419], [1865, 4150], [5388, 10091], [5844, 10142], [2046, 6413], [2393, 9904], [272, 1428], [2372, 9027], [4640, 4721], [2861, 5808], [7558, 7879], [3079, 4947], [1417, 6619], [3509, 10193], [5370, 7226], [2758, 5306], [5149, 5537], [1544, 5613], [7105, 10004], [766, 2313], [1375, 3360], [5490, 9213], [7021, 8024], [6670, 7043], [293, 10202], [2929, 10264], [8130, 9394], [472, 1085], [138, 8379], [7132, 11046], [110, 10495], [506, 11249], [3487, 7559], [7131, 11575], [402, 3729], [6764, 10061], [477, 8976], [1192, 11173], [337, 8215], [275, 7337], [1152, 7610], [216, 10140], [4734, 10748], [6289, 9953], [10179, 10992], [10523, 10802], [3481, 4711], [559, 10479], [1426, 10064], [1152, 10993], [2601, 3386], [273, 1225], [5443, 5960], [1086, 6209], [5594, 6129], [3505, 6236], [7711, 11453], [3528, 6405], [5923, 8290], [1191, 7164], [5275, 10698], [6235, 8562], [2997, 10152], [10150, 10597], [1602, 5163], [2928, 11486], [2930, 5897], [92, 10612], [42, 4833], [6227, 11303], [8534, 10335], [3742, 4994], [1460, 4706], [5324, 6776], [5169, 9117], [3507, 11543], [5229, 9922], [1153, 10413], [2166, 9069], [5223, 9353], [4189, 4932], [3944, 8511], [7464, 10017], [10654, 11419], [951, 9151], [4282, 8506], [5964, 9738], [5142, 6920], [2571, 7253], [314, 6086], [8818, 8939], [2560, 9346], [5488, 10940], [192, 10038], [2845, 9707], [3184, 9173], [756, 5650], [3619, 9101], [4555, 6571], [3937, 7690], [1306, 3084], [3613, 8532], [3081, 5261], [3117, 4918], [1532, 2838], [3853, 7992], [7748, 8621], [184, 6363], [2773, 4327], [5730, 6659], [3411, 3860], [4758, 7280], [3947, 10256], [6153, 9236], [1512, 3310], [452, 1832], [5087, 5277], [5938, 10745], [1630, 5251], [1328, 11302], [1605, 7638], [5022, 7511], [5515, 10827], [759, 5143], [4644, 8090], [2288, 10297], [2624, 3830], [3594, 6546], [4743, 11479], [7169, 8513], [8853, 10572], [4149, 11494], [4106, 8414], [2146, 6457], [3961, 5027], [1492, 5667], [2732, 9964], [220, 1832], [626, 2520], [1498, 2449], [1894, 3203], [3333, 11093], [2984, 4523], [1280, 10857], [6693, 8934], [3197, 5570], [6247, 10345], [5003, 8558], [2103, 3727], [2476, 8439], [7395, 9391], [7049, 8754], [918, 2520], [757, 11462], [2976, 3477], [636, 6217], [887, 10000], [4619, 5535], [1066, 5801], [5356, 9211], [1497, 1823], [4296, 9985], [228, 8085], [133, 4815], [1461, 5549], [11266, 11477], [1242, 10349], [433, 8490], [2619, 5283], [2198, 2809], [4640, 10145], [3139, 10422], [3082, 9888], [3475, 9590], [4189, 8933], [6861, 8652], [5054, 5439], [4468, 10977], [3214, 8502], [1998, 2347], [2109, 9503], [5151, 8755], [9664, 10517], [3396, 7984], [4999, 11367], [1257, 4564], [2398, 2466], [1541, 4323], [1043, 9708], [6442, 9607], [778, 1331], [4246, 9817], [3016, 11146], [5137, 9796], [6315, 10963], [3856, 5875], [1717, 2455], [5411, 5834], [3757, 11531], [5474, 9566], [4192, 11459], [1088, 2661], [4536, 9017], [1487, 2932], [1425, 6218], [8372, 9039], [1915, 5099], [5039, 6605], [7525, 10106], [6959, 11415], [3948, 5814], [7647, 9537], [178, 3379], [882, 1280], [6869, 8489], [8985, 10205], [3763, 6034], [9422, 10960], [6712, 8505], [11135, 11505], [4910, 7888], [5371, 9037], [2040, 7430], [1938, 2989], [229, 9733], [5772, 10512], [1655, 4586], [11147, 11515], [879, 4365], [1035, 4878], [1281, 8317], [1501, 10535], [4801, 9823], [7502, 8028], [4489, 8016], [10024, 11186], [3670, 4715], [225, 9210], [9246, 10892], [598, 5254], [1219, 4406], [7998, 9363], [5221, 11348], [35, 6834], [2862, 3458], [3646, 9956], [2581, 10386], [10213, 11058], [7622, 10015], [328, 2168], [3361, 4310], [5752, 7951], [26, 5967], [1736, 9247], [6593, 9321], [3759, 10772], [1550, 3607], [3566, 11131], [7986, 8198], [145, 6598], [1162, 9914], [6089, 10727], [4682, 5004], [3436, 8806], [1251, 2035], [573, 3103], [460, 11305], [266, 1640], [507, 4735], [3194, 5486], [9788, 10663], [686, 3919], [4925, 10774], [6256, 11025], [5982, 10456], [2704, 8483], [364, 4807], [2729, 9479], [5194, 5687], [1174, 9493], [116, 3924], [1512, 2318], [5460, 6745], [2344, 3602], [8828, 10863], [3035, 6903], [1313, 2108], [8162, 8558], [3055, 8309], [8760, 9416], [1356, 8571], [4764, 11364], [5335, 8147], [698, 6881], [8900, 9426], [7719, 11371], [10248, 11536], [2682, 9609], [5918, 7946], [2822, 11117], [465, 4054], [1669, 9448], [4224, 7828], [1080, 9053], [4815, 8269], [3998, 5795], [3225, 10009], [4505, 7289], [637, 2067], [2751, 9372], [1240, 9685], [6078, 11237], [7974, 11489], [3653, 11395], [234, 10695], [7042, 7722], [734, 8766], [4593, 9738], [5082, 6519], [4278, 8414], [7640, 9334], [6981, 9698], [782, 5050], [2621, 11184], [7970, 10966], [2394, 5543], [5697, 8512], [7295, 11551], [4360, 6534], [2066, 9619], [1753, 4958], [3183, 3717], [3090, 3526], [130, 6558], [3340, 7084], [6846, 10412], [846, 9357], [2553, 6704], [3602, 8023], [4885, 8984], [2132, 3449], [4664, 7295], [4499, 8948], [2484, 8038], [8449, 10038], [1546, 7489], [1298, 3223], [830, 903], [7583, 7645], [1103, 9171], [4475, 7773], [1072, 7606], [5968, 6854], [880, 10065], [4894, 8696], [8734, 9618], [5716, 9262], [1070, 1494], [3458, 3706], [445, 7858], [1663, 8424], [2680, 6822], [4268, 9173], [4617, 7075], [5479, 8568], [4958, 7368], [2500, 5134], [4198, 11063], [6919, 11398], [9438, 10875], [2148, 11098], [6907, 9883], [1616, 7073], [2426, 6124], [1110, 2771], [3510, 4246], [4139, 6669], [1204, 5816], [5813, 8040], [3633, 8783], [7745, 7949], [2545, 10919], [3100, 9451], [87, 9439], [6116, 8980], [4399, 4529], [9194, 10141], [975, 3485], [10417, 11051], [2349, 10980], [7359, 11296], [3565, 4303], [4747, 5212], [8699, 9381], [2009, 7125], [9034, 9105], [10658, 11113], [4343, 4570], [845, 10959], [2868, 6068], [495, 6416], [5515, 7420], [4861, 8882], [5365, 10859], [7717, 11162], [5981, 6661], [977, 9543], [4709, 9242], [4458, 5459], [3293, 7937], [5409, 10407], [1871, 7541], [9935, 10876], [7334, 8391], [897, 919], [3176, 10735], [5848, 10454], [63, 7109], [3762, 10078], [2950, 7948], [405, 3840], [5025, 10417], [6000, 7061], [9642, 10250], [6987, 7502], [6930, 11132], [3439, 8112], [326, 10902], [3101, 5084], [5365, 9704], [2975, 6665], [4346, 10479], [7178, 8201], [7135, 10783], [4184, 5233], [3504, 5474], [8411, 11327], [40, 5031], [6194, 9936], [2553, 10355], [6451, 11255], [5203, 5562], [5387, 7369], [308, 2752], [2799, 10761], [4541, 9792], [2423, 11413], [957, 10745], [2080, 3877], [8303, 11585], [7554, 9023], [1303, 4185], [1071, 4616], [2139, 2205], [6427, 11204], [3442, 4572], [161, 5334], [7357, 8859], [5421, 5798], [2711, 7507], [9288, 10795], [8254, 10538], [4396, 6004], [3644, 3925], [7475, 10019], [7783, 7920], [3550, 4263], [303, 8019], [249, 11166], [6966, 11081], [1520, 11366], [7401, 8757], [3887, 4033], [7056, 10974], [4912, 11374], [2195, 7748], [1696, 6115], [77, 2199], [421, 2763], [574, 3005], [241, 7491], [7701, 10897], [516, 9416], [1362, 3960], [2819, 6794], [9099, 10872], [9585, 10765], [7014, 11098], [13, 844], [4085, 7781], [348, 1322], [1032, 10622], [1839, 9402], [8623, 11293], [10615, 11253], [5200, 10097], [1750, 10084], [7722, 9091], [1867, 4253], [2429, 3202], [2174, 9099], [7616, 11324], [3378, 7323], [2545, 10732], [799, 1379], [4756, 5892], [4100, 10691], [1113, 9648], [7610, 11509], [8088, 8101], [9053, 10473], [741, 7790], [2666, 6528], [1360, 3109], [4756, 9275], [7760, 11453], [3412, 3874], [5958, 10836], [2992, 4254], [9008, 9949], [541, 9607], [9591, 9775], [3491, 11522], [69, 4135], [10676, 10751], [8965, 10252], [288, 9134], [943, 10526], [2053, 9869], [4823, 5959], [6693, 11406], [2587, 6770], [2950, 10794], [4904, 8018], [5043, 5144], [4907, 8289], [4533, 9768], [1864, 7314], [5059, 9060], [916, 1913], [5833, 8454], [632, 2154], [1392, 1842], [3250, 5020], [638, 5352], [3630, 5241], [3380, 10728], [794, 5865], [1099, 4249], [2196, 8992], [635, 11470], [358, 6466], [4675, 9070], [2472, 8109], [4342, 6386], [6544, 10128], [5388, 8188], [1193, 7267], [6260, 10369], [104, 2385], [998, 6045], [5786, 8234], [2023, 6970], [3929, 7910], [7793, 9226], [5880, 7869], [6285, 9086], [2303, 6206], [2270, 10230], [2671, 4912], [4997, 10410], [7870, 8133], [6024, 7244], [2266, 7078], [2132, 3880], [516, 6651], [2223, 3998], [1075, 8335], [4433, 5349], [2171, 7191], [3255, 4559], [2759, 7361], [5401, 8369], [7409, 8862], [4499, 9729], [4437, 8851], [2006, 5811], [633, 1170], [385, 8238], [3580, 9230], [999, 9629], [5388, 7383], [2965, 4204], [3426, 8763], [4804, 7332], [1621, 8629], [1371, 8454], [466, 6133], [6190, 11454], [5511, 8887], [334, 2981], [6656, 9914], [2920, 11227], [4004, 4431], [6213, 9344], [5776, 9343], [7312, 8498], [8272, 10526], [2665, 9954], [7152, 11249], [3824, 9159], [4352, 11530], [4128, 10324], [2041, 7094], [4092, 4251], [330, 5841], [973, 6472], [1663, 4667], [3022, 6966], [351, 10101], [7413, 11182], [3676, 8887], [3032, 11037], [1246, 8701], [2362, 11242], [39, 9425], [6187, 6968], [2644, 3758], [3609, 4632], [139, 5872], [369, 8778], [3285, 11109], [3223, 10231], [7858, 11424], [1397, 9220], [4506, 4776], [1605, 9923], [3089, 4000], [10809, 10908], [3674, 3872], [2061, 10324], [4492, 6948], [717, 11339], [2114, 6952], [1783, 8101], [7375, 7641], [995, 10529], [3236, 7029], [2895, 10900], [4693, 9863], [585, 11570], [2947, 10309], [3886, 5798], [1830, 1881], [7764, 10984], [3781, 7502], [4591, 6553], [6616, 8905], [8512, 9157], [1786, 7244], [430, 5216], [4587, 9817], [6176, 7852], [7519, 8120], [3751, 6512], [1386, 6721], [3676, 10310], [3924, 3996], [3464, 5701], [3987, 7728], [2435, 8040], [3178, 5869], [2870, 5716], [5912, 6466], [523, 7285], [5318, 5727], [125, 6458], [3922, 10716], [1346, 10705], [1988, 3564], [4042, 11572], [4171, 7256], [931, 1603], [4358, 7082], [2553, 6948], [9271, 9717], [395, 5006], [5353, 11548], [10205, 11278], [7309, 9599], [2517, 10674], [730, 10365], [1141, 9899], [547, 11412], [4036, 11353], [164, 8641], [78, 3205], [11283, 11433], [4239, 10931], [2090, 3817], [1379, 8909], [1003, 9561], [4086, 11066], [7933, 10523], [8805, 10452], [2391, 3930], [1960, 11291], [3636, 9325], [615, 3036], [5167, 8136], [2323, 9653], [1517, 4305], [6126, 6529], [1510, 3134], [1864, 8550], [4262, 9198], [7431, 9723], [1576, 4885], [609, 1686], [6302, 8448], [6923, 11010], [6926, 8275], [8827, 8871], [2822, 6718], [7457, 7911], [141, 9165], [2287, 3930], [8513, 10401], [2726, 10393], [10718, 11408], [2559, 11219], [5174, 10404], [2588, 10459], [1507, 9602], [967, 5716], [3398, 9510], [4771, 6981], [3764, 10799], [536, 6661], [1276, 7225], [4185, 6857], [2732, 9834], [3329, 7838], [4392, 7335], [8399, 8959], [2986, 7472], [5099, 5507], [3667, 10085], [5826, 9219], [3302, 9398], [3856, 4322], [10177, 10653], [1144, 7456], [7240, 8973], [4036, 9393], [2363, 5214], [2480, 5799], [7122, 8163], [1454, 9567], [4871, 10194], [3637, 9095], [1987, 5866], [4807, 7735], [5681, 8491], [4447, 7392], [8019, 9842], [617, 4906], [7414, 10442], [2130, 4639], [3271, 3295], [9375, 11089], [5760, 10477], [4268, 4424], [904, 1179], [1786, 8212], [1184, 9864], [10621, 10670], [7507, 9852], [4389, 5882], [2993, 10871], [1159, 5081], [876, 2514], [1813, 9254], [5909, 10169], [3325, 3881], [4624, 5375], [2975, 5754], [10447, 11429], [5876, 11160], [2889, 10117], [4539, 6176], [1205, 1642], [3725, 10389], [5996, 9010], [7775, 8677], [3066, 8501], [4072, 7464], [5278, 6515], [1828, 10666], [2036, 4953], [790, 5749], [6084, 8830], [5215, 6166], [4236, 4862], [4461, 7424], [230, 6846], [70, 3181], [6016, 7383], [6508, 7845], [1059, 3695], [5009, 11201], [1407, 10794], [627, 7421], [2766, 4425], [1783, 7109], [439, 954], [6158, 6685], [6106, 6495], [7066, 8523], [4953, 10488], [5538, 6977], [2073, 2926], [4235, 7993], [1150, 3409], [7614, 10048], [5310, 8281], [19, 5471], [306, 8911], [4939, 9277], [2107, 5893], [8798, 11003], [4493, 5026], [2852, 9430], [2214, 9173], [450, 4876], [9932, 11117], [598, 4774], [2972, 8034], [6076, 9662], [6420, 7974], [10752, 10856], [1874, 5318], [824, 10944], [4988, 6136], [5829, 6752], [1849, 7705], [6608, 10654], [8538, 9736], [8715, 10372], [3584, 9729], [7042, 10357], [2338, 7115], [2426, 2798], [4019, 9657], [9673, 10075], [6157, 8688], [6312, 6347], [2836, 4359], [7808, 9109], [644, 1335], [2644, 7572], [1889, 5976], [1736, 9117], [1579, 11385], [7699, 11044], [2229, 6017], [1086, 10698], [9985, 11451], [5925, 6059], [3722, 8508], [2780, 7059], [2289, 3035], [3376, 11254], [1872, 7850], [6572, 10192], [2186, 9703], [5381, 11449], [5331, 5670], [3576, 11315], [1212, 3081], [5451, 9936], [6910, 9433], [1617, 4298], [2155, 7357], [5259, 6733], [7461, 10475], [4379, 6162], [9050, 9264], [5880, 9268], [1701, 5874], [3319, 9565], [9790, 10205], [2844, 6828], [8420, 9999], [3967, 10540], [137, 8054], [1593, 1618], [4120, 4366], [1886, 8256], [1509, 6054], [1132, 6104], [3706, 9452], [3060, 8523], [8634, 10867], [3923, 10618], [284, 7700], [10894, 11581], [4489, 6276], [1461, 5232], [6997, 11256], [1579, 3009], [4662, 7924], [1391, 2958], [1050, 6829], [2165, 6516], [655, 9683], [3780, 10690], [7119, 9906], [739, 2214], [5873, 11456], [1050, 10212], [4808, 11132], [4123, 11029], [2817, 7610], [1601, 7871], [7089, 11195], [5621, 9700], [6058, 10455], [5836, 11574], [1824, 3190], [2407, 3016], [1474, 5063], [2964, 3873], [8206, 10928], [1260, 10961], [264, 6270], [539, 11201], [3190, 10043], [10057, 10683], [2940, 9114], [9468, 10288], [7226, 10153], [6895, 10548], [7638, 8377], [8932, 9527], [190, 844], [5790, 11579], [3517, 9125], [4482, 11497], [8537, 10129], [9657, 10160], [7835, 8167], [7597, 8753], [8130, 11468], [1150, 6255], [7316, 9265], [4568, 10490], [6008, 9937], [1863, 8379], [1550, 10511], [7799, 8860], [2016, 5588], [2076, 5639], [9636, 11161], [3132, 8129], [5000, 10497], [7116, 8049], [2684, 7215], [7303, 7875], [4397, 7760], [233, 6152], [3591, 9582], [318, 7953], [5008, 6601], [9436, 10699], [8284, 11130], [3730, 9367], [9839, 11089], [4297, 4496], [5257, 6524], [7531, 10334], [8804, 10607], [4783, 10805], [2044, 3448], [6317, 9887], [1166, 2950], [4692, 8408], [8728, 10770], [7857, 11443], [6485, 10410], [8157, 8702], [2623, 8386], [5075, 10805], [572, 4813], [2836, 3017], [1873, 11271], [725, 9192], [5176, 7824], [2956, 11420], [6970, 10051], [3391, 11348], [6068, 11411], [939, 6677], [8531, 10956], [5093, 10980], [5936, 6007], [581, 7908], [1789, 7786], [3783, 4409], [3194, 10430], [1231, 9710], [9642, 10120], [2326, 11374], [1884, 3859], [2820, 6247], [4000, 6329], [3163, 5832], [3440, 4420], [2839, 9680], [6015, 11376], [9690, 9787], [2410, 6534], [450, 9495], [3160, 5534], [3712, 6047], [9374, 11244], [4365, 11530], [1091, 7047], [2173, 3588], [1369, 8489], [6, 8700], [3106, 7176], [5382, 6895], [740, 8695], [4385, 11401], [125, 3669], [428, 1226], [706, 9084], [1707, 5451], [1182, 2597], [1545, 6621], [8575, 8945], [3938, 7679], [106, 8530], [2191, 10933], [3159, 11324], [5287, 10391], [6001, 9734], [1796, 7371], [1194, 9023], [131, 3110], [1856, 5924], [7288, 7461], [297, 4311], [2439, 8002], [4830, 5227], [3085, 5144], [5020, 10986], [6360, 6819], [4056, 9216], [7000, 7179], [2277, 3887], [69, 8998], [12, 8464], [5764, 10171], [3152, 10503], [6142, 8811], [2584, 4569], [8647, 10110], [9870, 11020], [2711, 4344], [2792, 5272], [3664, 5201], [2712, 7198], [501, 1458], [3362, 4082], [1987, 9948], [471, 9917], [836, 1936], [4999, 6325], [2046, 10528], [5991, 10520], [542, 708], [7794, 8329], [7551, 8571], [2079, 9887], [4689, 8728], [6174, 7194], [4434, 7455], [3427, 4857], [266, 1941], [7452, 11194], [1151, 2105], [1622, 8106], [407, 11221], [8220, 10019], [1838, 2254], [692, 1002], [602, 4492], [7902, 8397], [3805, 3847], [5845, 7261], [4785, 7281], [8713, 11056], [3145, 5494], [5197, 9669], [5135, 8791], [9447, 11051], [1140, 3794], [2208, 7799], [5343, 9494], [6158, 8889], [208, 781], [574, 2070], [3163, 6450], [3909, 10212], [7801, 7914], [4993, 8334], [3250, 9078], [6180, 9587], [4251, 7697], [7725, 8104], [2317, 11125], [4340, 10398], [5398, 9551], [3330, 10535], [9601, 11087], [1595, 11140], [5521, 7672], [2586, 6819], [1368, 6253], [2957, 4288], [5641, 6276], [7217, 10522], [7103, 9454], [5565, 7220], [618, 4220], [88, 1022], [7278, 7765], [177, 10893], [7035, 8007], [6259, 8540], [3477, 3765], [4731, 9623], [3015, 8780], [49, 8614], [320, 6633], [6395, 7273], [1386, 9811], [5894, 8977], [7175, 9865], [322, 6679], [193, 7989], [6242, 9660], [4306, 6599], [171, 9893], [2652, 6634], [4174, 7611], [6290, 10081], [3456, 11532], [5159, 11389], [7036, 7427], [3211, 5285], [5728, 7345], [2956, 10428], [1767, 8348], [2142, 7471], [807, 4068], [3071, 8688], [6281, 11466], [607, 2502], [5961, 9798], [2927, 8909], [6005, 9316], [3788, 10177], [2785, 11485], [8516, 11561], [3098, 3314], [264, 8929], [7767, 9753], [2282, 3694], [893, 5690], [8021, 10801], [3868, 9382], [2697, 6353], [6957, 7669], [846, 5120], [5515, 11559], [1917, 8642], [1007, 5977], [284, 9554], [1848, 4341], [4582, 4938], [3054, 9808], [2092, 6953], [5201, 7427], [8559, 10857], [4328, 7273], [1463, 7913], [5702, 8352], [2808, 4090], [129, 2446], [3298, 9387], [7097, 10308], [2608, 8940], [3358, 3776], [3289, 5891], [954, 8975], [4440, 5235], [501, 7687], [9771, 10073], [243, 1235], [5540, 7243], [1180, 7975], [7737, 10641], [3698, 7227], [5594, 7479], [1736, 9361], [2913, 3510], [5839, 10693], [4994, 8423], [5154, 10590], [1283, 1687], [3877, 6411], [601, 7517], [11, 4268], [642, 7518], [4561, 7043], [2128, 2422], [536, 9751], [694, 11091], [9165, 11552], [695, 1113], [7449, 10709], [4951, 5693], [6886, 11535], [936, 9843], [7035, 8625], [2773, 6482], [6278, 6956], [4201, 4414], [9485, 10217], [498, 7365], [456, 7139], [10822, 11414], [1832, 4881], [402, 11040], [796, 10213], [8234, 9888], [305, 6943], [1852, 6287], [3810, 7417], [484, 1990], [2385, 9002], [3040, 10394], [2001, 3377], [393, 6009], [5365, 10005], [65, 2945], [1445, 7976], [7104, 8738], [2954, 11000], [5075, 7398], [9092, 9710], [2617, 5164], [9401, 10465], [8391, 10602], [1087, 6955], [434, 11271], [3445, 10456], [2175, 7448], [1889, 11026], [1046, 10337], [8551, 11234], [4096, 8696], [677, 7996], [5095, 10652], [7485, 11439], [9947, 10382], [5594, 5869], [4992, 7521], [5442, 8481], [3651, 5047], [1070, 5446], [5397, 8738], [2066, 2967], [295, 8833], [8467, 8503], [1787, 6935], [789, 8587], [2067, 9958], [3772, 10642], [6543, 9586], [1963, 8854], [4451, 6012], [2959, 4123], [378, 4522], [1370, 4553], [4136, 8071], [24, 2489], [19, 2145], [2021, 9209], [5275, 5900], [3203, 3702], [2854, 3548], [560, 2469], [7344, 8524], [2055, 2377], [3194, 5868], [6344, 8595], [3438, 6228], [2080, 9789], [7216, 9278], [3384, 10129], [2919, 7326], [3227, 5227], [8017, 10495], [2002, 7654], [2050, 4662], [3532, 9246], [16, 8613], [1940, 7126], [5608, 11536], [2494, 8466], [350, 4702], [4266, 6208], [1501, 4046], [6824, 11275], [3108, 9857], [2187, 7003], [905, 2480], [2333, 6828], [4884, 8472], [555, 4353], [9297, 10784], [1057, 5503], [1559, 10817], [6750, 10013], [1141, 2198], [578, 9440], [247, 3419], [2206, 11567], [358, 10605], [1139, 11170], [2975, 4201], [798, 10877], [547, 678], [8774, 11359], [5215, 7646], [4375, 9884], [6794, 11409], [5392, 6030], [4146, 9832], [8604, 10389], [4464, 9175], [5448, 9345], [919, 9302], [6609, 9377], [9788, 10590], [1029, 6464], [662, 11366], [7448, 7668], [10720, 11324], [5849, 6656], [1217, 9898], [6944, 9074], [5039, 10988], [130, 5062], [3289, 11315], [1054, 5181], [6338, 6820], [1711, 3236], [1143, 4472], [6693, 8674], [3321, 7066], [2354, 3867], [4139, 5978], [3103, 11310], [5247, 8658], [2377, 2538], [4191, 9551], [4002, 7400], [3039, 10736], [2685, 6074], [9849, 10842], [2504, 7194], [43, 5443], [4117, 10541], [1806, 5351], [9104, 9907], [5701, 6734], [6721, 9567], [7629, 11405], [5239, 8366], [1156, 7686], [6419, 8448], [727, 5294], [4199, 9792], [2766, 5100], [7991, 9542], [3992, 5527], [3973, 7005], [1017, 1111], [2864, 11270], [3172, 9171], [767, 936], [3227, 8878], [1523, 3134], [11324, 11572], [7621, 11113], [1943, 11075], [4658, 8212], [4009, 10018], [2605, 3812], [6705, 7879], [332, 1358], [1510, 11193], [1950, 5049], [9, 8060], [3529, 9566], [7261, 9265], [2322, 10290], [633, 1471], [2785, 5850], [6362, 7890], [6455, 10333], [4398, 9197], [6110, 6888], [74, 9586], [4178, 4727], [3398, 7770], [4363, 10142], [8439, 9651], [1402, 10320], [1524, 4833], [2582, 8150], [4, 8066], [6439, 9049], [2669, 6614], [2607, 9900], [8832, 9353], [2051, 7733], [4329, 8279], [5170, 8895], [4169, 10276], [2326, 3242], [8862, 11447], [1947, 4377], [8212, 10776], [3876, 5486], [4344, 5554], [5587, 10122], [1110, 10269], [8453, 10838], [6240, 9189], [4648, 5184], [5950, 11113], [71, 1717], [9747, 11207], [3334, 6041], [7793, 10950], [4264, 5194], [6719, 7130], [4955, 6997], [719, 10239], [8962, 10873], [6285, 10810], [8091, 11546], [3172, 4178], [3230, 8320], [3455, 10882], [399, 7036], [2011, 7529], [1171, 9767], [2953, 8951], [765, 2663], [4314, 4907], [4092, 6780], [2199, 10209], [7263, 7378], [9795, 11224], [6643, 8424], [2415, 9275], [6649, 9370], [5995, 10832], [3409, 3717], [6182, 10658], [1663, 4163], [314, 11250], [2340, 3624], [4394, 10878], [1217, 9711], [4948, 11437], [3606, 6109], [1307, 5440], [9987, 10993], [3362, 9132], [4377, 5205], [8807, 9376], [2422, 8510], [2330, 8921], [4384, 9759], [5442, 8912], [2199, 2988], [2311, 3983], [7642, 8821], [2100, 9398], [507, 6703], [4334, 8891], [4643, 9646], [5357, 8989], [8476, 10151], [4426, 5447], [30, 4270], [1533, 9701], [4800, 5099], [2124, 7890], [7215, 9134], [2459, 9866], [1732, 9537], [772, 1093], [7189, 11296], [5434, 10525], [1673, 2891], [8324, 8602], [7553, 9479], [3084, 8763], [565, 10040], [9508, 9557], [1282, 8146], [5014, 7845], [5640, 10751], [5860, 6553], [590, 4620], [171, 9332], [1343, 3137], [902, 5646], [7099, 7215], [2835, 8409], [4146, 5002], [3740, 4314], [2267, 8891], [1837, 3645], [5386, 10053], [3330, 6136], [3794, 10966], [1707, 7736], [10268, 11123], [301, 703], [7315, 8910], [2864, 3862], [9486, 11087], [4782, 7845], [3839, 6952], [828, 1351], [8895, 9865], [144, 10518], [4440, 5829], [4288, 7687], [769, 9789], [9126, 9239], [1471, 11027], [5552, 10880], [3899, 3970], [2343, 6792], [5990, 8073], [8132, 11010], [1126, 6828], [6549, 9757], [6567, 10336], [1064, 9333], [1246, 8815], [9988, 11082], [659, 5083], [6070, 6497], [5503, 9833], [4541, 11142], [4577, 6635], [2865, 3282], [1141, 8240], [3355, 6327], [1731, 5073], [2039, 2974], [9177, 9527], [736, 3990], [204, 6381], [6439, 11440], [7112, 10028], [8765, 10522], [4375, 6127], [7551, 7823], [5457, 9838], [10436, 10841], [476, 1592], [9753, 11565], [8352, 11292], [3660, 7313], [5091, 11178], [1169, 9857], [5424, 10829], [4961, 9607], [4114, 4258], [5167, 6477], [2372, 7856], [9712, 11160], [3614, 7318], [2898, 7902], [64, 7101], [2829, 2847], [1141, 10468], [8501, 8732], [6192, 6621], [2331, 8986], [6818, 10281], [9891, 10344], [362, 9949], [864, 11099], [2423, 5542], [5315, 9731], [119, 3775], [872, 8708], [2971, 8565], [1075, 2651], [3819, 3936], [2002, 2287], [4891, 10342], [9414, 11294], [823, 10694], [534, 4175], [6349, 10368], [4926, 6364], [3210, 11183], [287, 1265], [2585, 11131], [560, 2363], [3997, 9284], [182, 7106], [875, 11234], [2463, 7169], [4827, 8987], [1023, 7722], [5412, 5476], [405, 2425], [1277, 8770], [3756, 8848], [7740, 8768], [1176, 4931], [6750, 8029], [4470, 10820], [5774, 6996], [6079, 11015], [1886, 3751], [2543, 2560], [2885, 5707], [506, 2857], [4839, 9347], [9570, 10248], [231, 3561], [7505, 11503], [10122, 11515], [1913, 5547], [4637, 5456], [1557, 3468], [1688, 7149], [3399, 6867], [1711, 7318], [3244, 3546], [123, 5721], [3429, 8961], [5535, 9989], [435, 10911], [4540, 11158], [6942, 7044], [932, 4547], [6912, 10585], [2671, 7067], [1802, 4403], [5747, 10811], [4664, 9881], [546, 3730], [4407, 6283], [4372, 9480], [1977, 6097], [2761, 6179], [3413, 8054], [2759, 3100], [2977, 10907], [8610, 10448], [1566, 9946], [1160, 9258], [2292, 4388], [5272, 8424], [3522, 7997], [5244, 6376], [10526, 11352], [7355, 7748], [2291, 10579], [3031, 4727], [6356, 11427], [2903, 5481], [4792, 7972], [2273, 9249], [7536, 10011], [31, 8360], [7637, 10063], [5, 723], [7881, 10423], [1088, 7288], [2335, 9346], [4885, 7382], [1748, 9778], [8090, 8318], [7441, 10124], [3, 3279], [2360, 3926], [493, 2914], [3571, 4075], [2894, 7997], [6039, 10380], [6712, 6716], [5595, 6202], [4385, 9661], [1169, 9320], [3817, 4481], [7017, 10735], [5905, 10565], [9509, 11018], [1388, 4897], [2071, 4173], [3893, 6196], [5804, 6726], [1509, 6355], [8751, 9124], [3494, 11560], [5263, 9785], [9810, 11131], [4889, 7100], [1752, 9496], [2686, 10303], [6939, 11202], [9316, 10973], [7585, 8344], [2734, 5806], [6524, 8893], [5777, 7912], [830, 11328], [5899, 9595], [6556, 7650], [7065, 9971], [3639, 11510], [4319, 4853], [2603, 10426], [2890, 9702], [798, 6128], [2444, 3199], [8080, 8673], [8264, 11234], [2321, 10713], [3868, 10057], [4742, 6649], [5679, 7727], [9251, 9423], [3346, 5222], [3566, 9692], [3748, 8420], [4703, 10858], [3285, 7198], [5514, 6347], [8623, 9073], [1940, 7988], [5008, 7707], [1123, 7766], [281, 1263], [1153, 3444], [336, 970], [3152, 10991], [3637, 3866], [4474, 11156], [1186, 2803], [10263, 11210], [4041, 11274], [7211, 8237], [5648, 8390], [3246, 9498], [1945, 7177], [10217, 11215], [1946, 4369], [5404, 11413], [6550, 9659], [5588, 6804], [9222, 10132], [315, 8737], [2622, 10021], [3359, 3898], [8718, 11538], [4217, 6373], [532, 858], [8716, 10711], [690, 7860], [8497, 9095], [756, 5447], [9710, 10071], [2748, 5407], [346, 7269], [5788, 10248], [2180, 5889], [6039, 7615], [1868, 2584], [5663, 8267], [5030, 8354], [1606, 6556], [4886, 8575], [1180, 1429], [1075, 3887], [651, 8255], [4691, 5855], [6621, 10599], [2347, 6941], [3663, 3878], [2598, 10724], [6457, 9444], [7678, 10281], [8134, 10332], [5901, 10660], [8348, 8571], [5371, 8216], [2586, 3924], [7076, 8146], [8629, 11442], [40, 6007], [9158, 10251], [5519, 11497], [8069, 10287], [7413, 10922], [6, 9806], [8564, 10266], [8222, 9748], [332, 1870], [3177, 10377], [3571, 10304], [4010, 4716], [799, 10381], [9013, 10277], [1807, 10171], [773, 4996], [3761, 7395], [2472, 11500], [5832, 8587], [4651, 11286], [6201, 10147], [4329, 8791], [6419, 11538], [4575, 5814], [10343, 11407], [932, 2400], [5603, 6256], [2647, 6778], [2588, 9581], [9059, 10221], [6106, 10260], [230, 10961], [1614, 2205], [7153, 8500], [8381, 9754], [1750, 5449], [4140, 6236], [4790, 9536], [4230, 8381], [1321, 2333], [7585, 11540], [364, 3986], [6872, 9389], [8174, 8902], [2849, 7262], [5875, 7479], [2514, 10167], [479, 711], [8293, 9533], [46, 7245], [7926, 8019], [1732, 3715], [2501, 2765], [4494, 5579], [2063, 2539], [3081, 8709], [724, 1646], [11236, 11408], [4455, 9788], [2650, 3238], [6909, 11499], [3387, 9166], [7972, 10996], [522, 9052], [472, 3273], [3886, 4383], [2141, 4300], [2361, 6518], [5232, 9830], [1211, 10028], [4326, 7284], [9135, 10350], [6082, 10939], [3313, 11287], [5142, 9563], [4094, 4682], [9006, 10879], [162, 4171], [1760, 4958], [982, 4664], [484, 10049], [6570, 10878], [288, 6727], [7509, 7865], [718, 5557], [3674, 5035], [4670, 7474], [4619, 10138], [1526, 1529], [1677, 8114], [3955, 4496], [1830, 9110], [351, 1010], [3016, 10138], [4224, 5852], [1634, 2001], [3925, 9168], [1451, 3048], [2259, 7688], [2644, 7499], [2639, 7155], [1414, 3166], [1195, 1550], [9942, 11331], [5721, 8435], [1447, 2525], [1202, 8356], [7769, 9458], [1472, 3521], [721, 11466], [3619, 10939], [4395, 4744], [5107, 8922], [7163, 10587], [1153, 4680], [5110, 6187], [3429, 4399], [8043, 11131], [215, 4131], [9528, 9597], [8026, 9272], [5421, 10775], [404, 620], [4078, 5976], [6559, 8379], [5196, 9344], [4440, 10529], [5107, 9272], [364, 4604], [3225, 7228], [2354, 10153], [2812, 7998], [6189, 9950], [79, 10255], [2290, 9579], [3712, 9194], [4247, 6320], [888, 9835], [690, 2680], [2594, 6957], [1508, 2346], [9221, 10362], [415, 10554], [8973, 10260], [5893, 9026], [845, 10138], [2048, 5508], [809, 4065], [55, 5323], [3549, 7860], [3308, 5519], [1933, 10631], [3397, 8220], [2903, 7685], [864, 7155], [8594, 10614], [750, 10251], [5294, 11326], [5777, 7538], [8309, 11384], [2454, 6546], [1301, 4123], [6557, 10130], [7278, 10644], [2976, 8348], [1983, 10344], [3253, 6936], [2136, 11340], [6207, 10505], [54, 2038], [3106, 7640], [3068, 4904], [3379, 9492], [2627, 7413], [6892, 7575], [6417, 10500], [5396, 10448], [3142, 6546], [5328, 9001], [4827, 11459], [5799, 8586], [278, 2870], [717, 3671], [7972, 10809], [3547, 4730], [6967, 8284], [8035, 8125], [1421, 11371], [4043, 7563], [8365, 10511], [3200, 3868], [1486, 5350], [247, 3907], [464, 2444], [6369, 6645], [2822, 10109], [3939, 4207], [1454, 10730], [5628, 6610], [893, 1803], [5306, 10531], [332, 3456], [7270, 8443], [1418, 8040], [4429, 7225], [2352, 8847], [573, 3518], [6711, 10142], [1092, 8055], [9440, 11149], [3552, 10335], [4856, 5757], [3679, 5192], [3001, 6260], [8226, 10702], [1877, 8739], [884, 10735], [3804, 4140], [528, 9410], [2804, 9129], [8057, 9203], [1222, 10730], [3512, 3739], [3171, 7610], [9641, 10277], [6028, 6328], [1298, 8281], [9300, 9984], [7901, 11292], [2648, 4802], [6343, 11035], [3970, 11383], [3593, 9181], [1829, 11300], [4556, 5064], [6030, 9757], [1753, 5828], [3776, 5101], [502, 618], [5613, 10408], [6610, 9285], [3112, 9258], [2284, 2431], [413, 3929], [98, 9021], [4019, 5209], [7718, 8932], [2993, 11229], [899, 10992], [4739, 7750], [6193, 6903], [4663, 8694], [4252, 6908], [4690, 6353], [5469, 10255], [10042, 10570], [5136, 7571], [2724, 8745], [7149, 8408], [1643, 8642], [3322, 10357], [3038, 4182], [4810, 8340], [3595, 11455], [2291, 2447], [2387, 9325], [9551, 9929], [236, 8554], [6765, 8418], [1725, 9391], [2682, 5486], [4249, 6960], [264, 6815], [9006, 9082], [919, 4797], [2470, 11430], [6661, 10697], [7093, 11108], [69, 3314], [965, 10053], [67, 2487], [5139, 10851], [3334, 10717], [2706, 6230], [686, 9140], [9094, 11531], [4798, 10558], [2798, 9202], [8149, 9811], [3326, 9321], [236, 7399], [1211, 4043], [5743, 8521], [2485, 7924], [5403, 11082], [8672, 8805], [2046, 4844], [5678, 6591], [4165, 10241], [1073, 1076], [10029, 11408], [1013, 4408], [1190, 5044], [3117, 11025], [3593, 10954], [350, 1620], [792, 1965], [7698, 8949], [310, 8637], [538, 10716], [6608, 11012], [3363, 11431], [526, 2785], [6040, 11494], [2272, 5722], [4493, 5734], [2867, 7063], [1466, 7544], [2985, 11256], [6660, 10421], [368, 4828], [1766, 11219], [1735, 8900], [1556, 7437], [5943, 10780], [2488, 7417], [6875, 9262], [3628, 8854], [603, 11491], [2786, 10265], [3065, 3264], [114, 1878], [487, 7344], [51, 7191], [7076, 11423], [1011, 5809], [507, 1580], [3813, 4820], [4778, 7192], [4874, 7654], [4800, 9425], [5775, 6069], [3332, 7930], [787, 816], [5699, 7013], [10330, 10716], [10868, 11523], [6164, 8281], [2982, 6770], [8897, 9407], [5875, 11561], [3357, 9276], [7834, 9883], [4250, 10082], [6805, 9216], [3231, 4441], [805, 1745], [8975, 11168], [47, 6267], [9195, 9222], [2753, 11232], [1514, 9789], [4413, 8733], [6986, 7692], [3213, 5740], [666, 11385], [1294, 4538], [5614, 10823], [853, 11211], [1281, 9968], [3430, 7660], [2432, 9312], [2394, 6576], [4269, 5197], [3488, 5386], [3525, 10149], [2732, 5817], [5782, 11346], [6692, 7595], [7225, 10310], [2704, 4523], [3419, 5966], [802, 6708], [1889, 7757], [777, 8341], [493, 8582], [4041, 5720], [397, 2458], [2950, 4175], [1867, 3245], [9356, 10055], [3475, 6248], [3628, 7244], [4032, 4853], [7574, 10844], [3102, 4919], [5108, 8749], [9722, 11317], [233, 7315], [1570, 5883], [3404, 10919], [1995, 4369], [1997, 5196], [190, 4235], [3070, 5381], [948, 3096], [1624, 6119], [5705, 5972], [884, 5555], [6880, 9874], [2157, 6582], [2408, 10365], [3361, 11222], [2900, 3657], [68, 273], [7342, 7461], [3955, 8928], [1240, 5375], [5875, 6568], [3958, 6193], [10649, 11303], [3390, 6675], [563, 3635], [9088, 11529], [5382, 6635], [4728, 5845], [7243, 7832], [3349, 10057], [8206, 10131], [477, 6520], [4043, 11377], [671, 9769], [917, 6792], [2345, 11140], [46, 9717], [1823, 6305], [7265, 8530], [6086, 11302], [546, 1372], [360, 9318], [5406, 11543], [922, 10519], [328, 3364], [2754, 6814], [600, 1608], [4053, 8308], [1283, 5802], [8287, 9157], [9247, 11185], [2771, 3785], [4993, 6651], [1440, 9169], [1381, 5556], [2773, 3831], [2895, 8924], [6449, 10014], [907, 9837], [1813, 10848], [3269, 4412], [1280, 1717], [1397, 3056], [3105, 9673], [3763, 4920], [5186, 8924], [3761, 8257], [4635, 4849], [3821, 8308], [3998, 7446], [5682, 9505], [7056, 10584], [990, 11161], [3911, 11584], [2120, 4740], [5697, 6780], [10471, 11515], [1091, 4827], [6047, 10542], [6172, 9490], [3925, 8257], [6532, 7581], [12, 10432], [5053, 5897], [134, 5699], [7658, 10810], [7286, 8952], [5438, 5738], [5637, 9331], [708, 1275], [6129, 9793], [1062, 5937], [6620, 10030], [2229, 11449], [4109, 11168], [5594, 9634], [7306, 7325], [124, 4607], [1197, 4068], [1955, 9345], [6652, 11416], [947, 3893], [10871, 11233], [951, 10428], [7202, 9604], [3222, 9803], [8855, 10098], [6830, 7746], [2600, 7770], [6545, 7762], [10495, 11104], [1758, 2765], [4585, 6559], [4674, 9260], [1186, 6511], [3421, 9639], [2330, 4684], [1182, 2605], [210, 3226], [657, 3915], [6388, 6997], [5285, 10353], [6941, 10364], [4453, 10954], [3732, 11194], [4205, 6688], [3107, 4726], [3738, 7976], [8153, 11115], [6899, 10892], [1789, 3956], [3882, 11138], [3872, 4034], [1514, 5414], [1258, 1287], [6887, 10508], [54, 8698], [696, 5721], [3373, 5784], [8295, 10417], [4549, 6878], [825, 4788], [3435, 10045], [2380, 11163], [3024, 4849], [1941, 7329], [3770, 6359], [7825, 11407], [1003, 6780], [8442, 10063], [2396, 8663], [2334, 7031], [4020, 9917], [2086, 11066], [7927, 11310], [1831, 3377], [9422, 10464], [2047, 8105], [1075, 4562], [517, 5732], [1888, 9546], [7557, 9498], [7083, 8861], [508, 11281], [2968, 7145], [5927, 10304], [693, 11034], [7472, 9575], [8597, 9950], [3958, 11267], [3557, 10923], [2647, 8258], [9380, 9807], [258, 1657], [4012, 11503], [781, 3684], [5137, 5462], [6317, 9708], [398, 7329], [4413, 8814], [2928, 3932], [7253, 10561], [3366, 7541], [3547, 4169], [4476, 6884], [1335, 5374], [5195, 9200], [978, 10240], [10038, 11096], [7170, 7301], [1201, 5559], [1543, 8706], [1608, 3439], [6608, 9483], [445, 6744], [2910, 9368], [4555, 5083], [2748, 10538], [4312, 5325], [5339, 9329], [690, 9958], [4427, 5837], [1681, 7889], [4893, 5078], [1498, 8182], [4180, 9343], [6206, 8133], [3486, 11406], [3985, 5869], [1562, 9106], [11457, 11544], [2116, 10446], [7536, 9694], [10832, 11492], [7437, 8934], [9092, 10255], [1855, 9358], [5320, 6993], [5196, 9401], [1139, 3526], [3112, 9852], [5058, 8713], [3573, 3831], [2914, 4949], [395, 6226], [8920, 9956], [4663, 5905], [762, 11123], [6899, 8477], [860, 1078], [22, 4143], [2852, 7454], [1450, 2075], [3072, 9672], [1955, 9158], [8390, 10141], [3662, 6505], [730, 11585], [6189, 10007], [2784, 6007], [358, 3311], [3379, 10354], [5330, 7307], [9595, 9721], [3178, 9317], [1254, 11181], [4218, 11274], [8721, 10096], [101, 9512], [92, 7514], [10145, 10538], [2612, 7593], [5767, 10664], [4764, 11218], [7622, 7909], [6099, 6707], [3516, 5525], [4130, 7670], [5904, 6239], [6910, 8612], [1459, 2137], [6498, 9607], [4010, 10197], [2601, 5899], [2174, 10750], [233, 6591], [5002, 10982], [3065, 4313], [3538, 4725], [3784, 4000], [5368, 5855], [2171, 4036], [4602, 7076], [7957, 10235], [9476, 10537], [6052, 6487], [5964, 6640], [1439, 3363], [76, 3574], [5024, 5264], [7582, 8079], [2534, 5027], [3833, 6521], [3181, 8810], [4364, 6157], [3125, 8878], [35, 6956], [317, 5888], [5012, 11296], [5643, 8130], [1689, 3888], [2372, 3164], [125, 2685], [1868, 6105], [7778, 10650], [1217, 11248], [153, 1700], [187, 530], [2210, 6219], [7559, 8253], [9427, 10621], [4045, 8447], [242, 10036], [3015, 10561], [3287, 8805], [8698, 9465], [1296, 3031], [272, 5714], [2605, 5967], [5148, 9248], [8052, 9290], [6963, 8572], [8083, 8603], [4089, 10624], [7604, 7622], [1442, 6239], [2906, 6080], [5120, 11337], [2563, 2708], [2590, 10947], [2766, 3067], [1532, 1968], [1471, 8108], [1273, 3205], [944, 5181], [6324, 10692], [8908, 10564], [9801, 11370], [7437, 9552], [1952, 3493], [6530, 10568], [3042, 4813], [1772, 8221], [2611, 5758], [7862, 11421], [5632, 6385], [2297, 10294], [3720, 7882], [3756, 7539], [4034, 8981], [6124, 10230], [10136, 11444], [1299, 8159], [3653, 9289], [6827, 10158], [4869, 9782], [9946, 11320], [1639, 8981], [4311, 8700], [7232, 11375], [1280, 6604], [972, 2287], [5400, 6385], [1092, 7307], [2284, 2488], [2812, 9023], [2960, 5511], [1717, 6578], [3489, 8484], [5266, 6570], [7282, 11088], [3230, 4059], [959, 8067], [4818, 9039], [3434, 10655], [172, 1271], [3036, 9828], [4244, 9706], [6608, 11524], [851, 3057], [2816, 5358], [6487, 7033], [1788, 8299], [5215, 9614], [2412, 10378], [4432, 5970], [130, 6680], [4278, 5503], [3922, 4178], [1654, 4320], [8479, 10376], [1758, 8807], [3329, 6293], [2809, 4537], [2000, 8340], [3583, 3931], [10890, 11259], [2932, 9074], [5048, 10790], [3543, 4532], [3329, 9676], [5008, 11391], [3415, 5286], [2274, 4378], [3826, 4066], [1742, 6769], [3327, 9603], [3755, 5354], [3512, 8602], [4260, 6775], [4592, 9234], [808, 7093], [2045, 7709], [6126, 7562], [1138, 8725], [3438, 6586], [3720, 6272], [2345, 11384], [3661, 9075], [8017, 10853], [10405, 10813], [391, 11127], [2810, 6236], [7608, 9113], [2249, 11272], [1507, 4219], [4480, 7084], [5073, 8352], [8304, 9755], [38, 3253], [65, 11492], [1113, 9957], [4141, 4585], [2665, 3229], [4452, 9173], [1046, 2319], [10422, 11517], [1606, 6857], [6026, 6176], [1697, 6221], [2139, 7320], [3789, 4133], [3515, 5062], [2851, 5836], [3843, 10031], [328, 2453], [6277, 6926], [1858, 4045], [762, 9326], [1481, 1843], [3026, 7530], [5886, 9929], [3277, 8280], [875, 2972], [2958, 3050], [4131, 6125], [5827, 9699], [1152, 4943], [674, 2689], [780, 3085], [1153, 2135], [83, 1467], [9743, 10424], [1052, 4712], [4450, 5289], [6036, 10223], [652, 806], [7922, 9006], [1043, 10261], [9293, 9814], [6614, 8924], [293, 3347], [5430, 5690], [256, 9881], [3893, 6310], [2996, 8014], [726, 11493], [4427, 5463], [1158, 5488], [3525, 6823], [6147, 7179], [5015, 5633], [6923, 7400], [5395, 5854], [997, 10266], [3263, 9297], [2053, 6340], [7283, 11126], [321, 10626], [10837, 11462], [596, 6889], [656, 6940], [3550, 5540], [5071, 10079], [1518, 6181], [2490, 3308], [6385, 6943], [298, 8952], [3043, 7429], [1737, 4010], [7172, 9982], [145, 4923], [3978, 4674], [9752, 10112], [4962, 5598], [1446, 10627], [3559, 9416], [2750, 6803], [5893, 8359], [3441, 10858], [6242, 6261], [3379, 3564], [1321, 9400], [595, 8542], [10594, 11303], [3177, 5335], [2308, 2671], [4047, 5191], [6413, 11219], [2901, 7322], [10296, 10333], [11524, 11587], [2548, 5514], [1710, 8579], [5297, 11307], [464, 5965], [593, 1649], [407, 9595], [1147, 9405], [4142, 8811], [10360, 11257], [4732, 5644], [4164, 6126], [6469, 10747], [3919, 10459], [5032, 8565], [4285, 7584], [4594, 9093], [3756, 5742], [5779, 7267], [2317, 9149], [3965, 9299], [5589, 11307], [6489, 9120], [7199, 10219], [301, 8014], [6829, 9188], [4430, 10567], [827, 7306], [6269, 8033], [199, 1321], [7855, 8803], [4302, 9069], [8809, 11016], [1989, 3806], [1901, 8123], [1120, 1142], [2486, 4612], [5013, 7360], [3736, 9597], [5575, 9315], [2464, 5762], [2392, 4196], [869, 2994], [26, 5715], [6999, 9757], [5595, 9967], [3955, 8180], [5096, 6836], [994, 1942], [3323, 11121], [7748, 8532], [7249, 7653], [1648, 10279], [4587, 7898], [9731, 10658], [9268, 9436], [7229, 8125], [344, 9565], [4855, 9002], [4803, 8812], [9500, 10883], [1372, 10007], [2502, 10726], [5140, 5199], [2122, 11259], [1752, 3812], [5234, 8998], [4418, 5214], [1147, 4412], [596, 1091], [1745, 6024], [1743, 2945], [7471, 11391], [3452, 6000], [496, 6522], [494, 10613], [1764, 7205], [6192, 10549], [203, 9683], [616, 5126], [764, 1614], [1861, 4105], [636, 5778], [4314, 10876], [5964, 7689], [10002, 10878], [102, 5844], [3723, 8156], [5397, 9527], [8540, 11083], [3750, 5815], [750, 10202], [4029, 8613], [2331, 8376], [668, 11301], [286, 8755], [8338, 9821], [1746, 4690], [4230, 11528], [2145, 2709], [7910, 11037], [928, 2745], [7157, 9487], [1959, 2704], [2893, 9927], [1202, 6697], [1663, 5594], [50, 7882], [2015, 3767], [3756, 6360], [6462, 11325], [3936, 5015], [4522, 10774], [8455, 8477], [2505, 6785], [1908, 2365], [3367, 6026], [6450, 6777], [5920, 9995], [2615, 3947], [8597, 10812], [4060, 10154], [947, 6528], [6210, 7290], [4739, 6278], [1026, 4377], [3615, 8757], [3556, 11560], [3708, 8167], [2084, 6913], [3230, 5913], [2926, 8131], [5508, 11340], [9121, 9627], [7748, 9150], [5434, 6695], [4439, 7864], [3539, 3635], [9679, 11086], [4215, 6658], [3999, 10975], [5088, 9441], [3689, 9995], [2319, 9789], [5624, 9421], [1575, 8325], [1946, 10712], [7352, 11028], [561, 8720], [3181, 8249], [5328, 11530], [505, 4624], [2623, 3003], [1835, 6185], [6764, 7825], [2273, 9794], [6763, 7600], [627, 3274], [4511, 10160], [7405, 8006], [464, 4973], [1147, 1997], [2107, 4779], [3724, 11278], [5403, 6577], [5840, 7332], [1456, 3506], [485, 2817], [8955, 11004], [4813, 6711], [1795, 6355], [397, 10517], [3563, 10771], [4994, 8220], [794, 6955], [696, 4168], [5370, 10951], [3705, 6690], [1525, 7433], [977, 2875], [4616, 6547], [3774, 7958], [4889, 7645], [3927, 8954], [3619, 4637], [4025, 5325], [3017, 6289], [408, 10302], [7217, 7554], [26, 1340], [8559, 9849], [589, 6149], [8465, 9433], [5003, 11315], [3016, 3031], [3076, 3836], [5125, 10746], [5161, 6239], [3767, 7137], [2084, 2270], [477, 1397], [2384, 5191], [2812, 8112], [3696, 5392], [4940, 7933], [5205, 9170], [5800, 6347], [7141, 11450], [1441, 3517], [5637, 8046], [389, 1900], [1318, 2363], [6474, 8920], [9614, 10959], [4171, 4345], [5764, 11204], [3823, 7045], [378, 11540], [8083, 9115], [2644, 5653], [2427, 5618], [3987, 11583], [3881, 4771], [3010, 7696], [66, 9733], [1027, 2537], [777, 8024], [5352, 9166], [728, 10791], [2264, 6536], [6405, 10604], [8177, 8346], [9949, 10252], [608, 9908], [9720, 10954], [506, 9631], [2935, 5428], [10844, 11104], [7728, 7961], [3681, 6938], [8782, 9624], [2283, 11100], [840, 1556], [8897, 10513], [2980, 11213], [3083, 6430], [4972, 11173], [63, 5247], [1150, 6296], [6649, 9809], [8834, 10164], [5938, 10737], [8457, 10214], [2454, 2472], [3734, 6168], [1272, 7979], [1489, 6516], [772, 6875], [791, 11089], [5001, 6626], [3232, 9155], [488, 700], [4629, 11184], [10905, 11356], [1173, 10602], [6116, 9696], [3062, 7431], [176, 8692], [2156, 11301], [2399, 4643], [2428, 3129], [5244, 6734], [3995, 4603], [3234, 4690], [5604, 10460], [5785, 6334], [1740, 2728], [8601, 9939], [6918, 11488], [8475, 11520], [4609, 9377], [8403, 9954], [5106, 10183], [624, 2816], [4271, 6349], [5103, 9131], [1249, 2087], [5067, 7222], [3358, 9802], [2484, 6794], [10362, 10905], [1979, 11008], [2079, 2544], [2879, 6569], [5253, 9829], [2832, 7477], [4472, 9264], [4480, 6873], [3193, 8422], [4689, 11184], [1817, 9899], [6483, 10405], [7763, 8439], [2976, 6852], [3468, 7314], [7795, 10606], [448, 10295], [8954, 9811], [2678, 3253], [107, 3586], [3708, 6020], [2591, 10424], [5211, 9953], [7945, 10550], [7606, 11084], [1030, 6486], [3053, 8011], [943, 7241], [281, 2426], [4166, 4619], [2048, 6240], [564, 10628], [8871, 10715], [8023, 8928], [2212, 10778], [4290, 9758], [3352, 11461], [181, 7857], [3379, 3458], [4605, 8049], [333, 5218], [1704, 1862], [3942, 5261], [6118, 7782], [4903, 10897], [4712, 11329], [8447, 10545], [8070, 8343], [97, 5126], [5652, 9672], [2443, 5584], [666, 1082], [4719, 5303], [2322, 7509], [2687, 5944], [7293, 8651], [6895, 7824], [2709, 4013], [1155, 1246], [2003, 3033], [1841, 4203], [10096, 11270], [292, 1780], [2710, 3834], [2636, 5605], [2331, 11385], [2957, 10127], [3697, 8439], [9366, 9889], [5792, 11530], [3363, 9317], [6072, 8137], [10795, 11429], [275, 6687], [2417, 3208], [9956, 10105], [3067, 11426], [6993, 7204], [3626, 6694], [2421, 10497], [5282, 6705], [5927, 7409], [2312, 2633], [5871, 10483], [785, 3941], [5179, 6957], [2193, 4604], [1102, 9475], [7531, 10643], [4205, 5216], [9593, 11342], [6658, 10489], [3146, 6592], [7822, 10038], [1874, 9173], [5888, 7804], [3085, 8568], [6497, 8851], [2806, 9907], [6029, 6531], [4728, 8374], [29, 5476], [2047, 10821], [5686, 10329], [10173, 10870], [3260, 6879], [4168, 9471], [3411, 7048], [983, 1273], [153, 11369], [81, 2633], [8891, 9730], [7456, 8375], [8866, 11363], [2080, 9399], [10007, 10019], [4561, 10304], [4282, 4473], [1694, 9363], [6241, 8457], [1033, 7402], [8670, 10670], [974, 3789], [1975, 8824], [220, 8053], [722, 9203], [1878, 8891], [9591, 10491], [431, 6021], [5355, 7317], [960, 4830], [1113, 5826], [1643, 2608], [3579, 11304], [649, 10795], [4164, 7793], [2858, 2876], [9363, 11014], [7558, 10880], [616, 1987], [4201, 11058], [8306, 9053], [8182, 10707], [2389, 9753], [6330, 6593], [366, 10857], [5782, 6199], [5118, 6973], [3879, 5530], [732, 6484], [2531, 9055], [824, 3040], [607, 4503], [98, 2182], [6386, 10285], [10035, 10481], [9750, 10497], [2871, 6090], [1993, 5592], [4453, 7872], [5262, 9704], [5854, 7364], [3288, 7317], [3227, 9293], [1270, 5355], [10198, 11010], [3408, 11556], [82, 4631], [2038, 10596], [10587, 10970], [2598, 3056], [2407, 3488], [6673, 8756], [1121, 7891], [7753, 9388], [8539, 10297], [2063, 2897], [2584, 8261], [6345, 6446], [4020, 10218], [257, 8954], [2062, 3426], [904, 7075], [181, 9898], [6882, 10034], [996, 9293], [6197, 9177], [2212, 9786], [4853, 10192], [5850, 9069], [2488, 8149], [6743, 9875], [3689, 6856], [332, 7034], [2567, 6752], [3513, 9074], [675, 7373], [10692, 10740], [4742, 9048], [727, 6782], [1190, 1588], [2315, 6127], [725, 10119], [4835, 8458], [1621, 8190], [4458, 6256], [7223, 9172], [4647, 9161], [9688, 11042], [3994, 11225], [2344, 8750], [5234, 9860], [4339, 8227], [932, 7564], [806, 11397], [5388, 7294], [6193, 8253], [1592, 10054], [938, 11516], [413, 8662], [1589, 9756], [868, 9242], [5689, 7407], [1451, 9822], [615, 3134], [1456, 10166], [5064, 7355], [1731, 5675], [8761, 10251], [9974, 10473], [9583, 10817], [6739, 11580], [1638, 9648], [4779, 8125], [4785, 11323], [9632, 10709], [1418, 4397], [4737, 7899], [4675, 7021], [697, 3883], [1228, 3519], [4808, 9994], [3306, 9669], [3342, 9326], [2093, 7195], [5955, 7684], [5621, 8562], [509, 7969], [6534, 10774], [2341, 3510], [5396, 9383], [4326, 8715], [5102, 8936], [1062, 9084], [7445, 9877], [7106, 10411], [6784, 7916], [3673, 11533], [335, 8755], [216, 7343], [710, 4468], [4331, 6780], [1741, 8591], [901, 10829], [270, 1163], [2078, 4978], [7363, 10225], [7275, 7372], [432, 9038], [6120, 9040], [1359, 9428], [3819, 10954], [115, 1225], [3342, 5138], [6301, 10549], [9262, 10371], [5272, 10636], [2006, 10178], [1290, 4346], [1539, 5050], [4612, 5113], [2924, 5564], [1036, 5927], [8224, 9591], [4580, 6329], [5010, 11575], [347, 1918], [101, 3397], [2671, 5091], [6196, 6941], [3830, 4296], [1268, 1739], [3735, 5190], [6166, 8230], [2800, 4158], [1394, 10711], [918, 7749], [3445, 10497], [7332, 7855], [2581, 8931], [3722, 6833], [1480, 6698], [3498, 7879], [609, 3207], [227, 7077], [6682, 9436], [698, 8914], [11222, 11523], [5393, 7906], [2509, 3578], [293, 8828], [7786, 8210], [2903, 3505], [3040, 9630], [2846, 7135], [6669, 8450], [6385, 8691], [10118, 11244], [4495, 10139], [4526, 5288], [5980, 10857], [2690, 5841], [4015, 6304], [8003, 10130], [2120, 9660], [9093, 11450], [3520, 5544], [2116, 5754], [2454, 5749], [1927, 6986], [5316, 11227], [1962, 2254], [618, 9685], [4047, 5411], [236, 7139], [1648, 10954], [2696, 8665], [9177, 10747], [2484, 4810], [1171, 4384], [3910, 6079], [1601, 3968], [732, 1304], [6810, 7877], [3844, 7711], [2197, 11169], [7481, 9802], [10158, 10619], [3341, 9342], [51, 7736], [2201, 11288], [1472, 4497], [4092, 11196], [3686, 9754], [5957, 9129], [938, 10979], [860, 9568], [3214, 10698], [5449, 10416], [5793, 7974], [1503, 3783], [3762, 4272], [4887, 8811], [1427, 7356], [8775, 9023], [3076, 11114], [4383, 10217], [2008, 10492], [370, 2362], [2701, 8204], [7209, 8124], [710, 5436], [3407, 6151], [2440, 7116], [9496, 9880], [1622, 4390], [3705, 10130], [2213, 4077], [7034, 8658], [3635, 8610], [1016, 5519], [3293, 8092], [5349, 5593], [1357, 11447], [5846, 9782], [9640, 10359], [3437, 10473], [1205, 8774], [3034, 7050], [2745, 6947], [5212, 5480], [8192, 10270], [883, 6279], [8162, 11559], [4370, 5393], [2881, 9437], [7069, 9941], [818, 4349], [2313, 10673], [904, 4123], [1401, 4175], [2987, 3447], [9404, 9486], [316, 6582], [27, 6479], [4020, 10649], [1649, 7660], [935, 2655], [2860, 7055], [7161, 9126], [5098, 10454], [4110, 4126], [2736, 6430], [2605, 3503], [1388, 9955], [8050, 10163], [770, 11074], [1990, 8303], [7585, 11524], [5061, 8293], [3595, 7625], [6029, 7930], [5031, 9582], [4494, 5213], [4089, 11543], [8355, 10395], [2870, 11506], [7725, 9999], [5177, 6374], [6489, 6575], [374, 6536], [3263, 4792], [2120, 9473], [3059, 10624], [9253, 9266], [1345, 6444], [6042, 8515], [3528, 9382], [4755, 10064], [4884, 5748], [6857, 7910], [1059, 3606], [5353, 10922], [7660, 9954], [1017, 3380], [6164, 6411], [1338, 6404], [5476, 6791], [2425, 4043], [4130, 6979], [4109, 6102], [685, 4304], [637, 880], [2820, 4572], [7773, 10770], [2513, 9525], [1264, 7394], [4896, 9141], [4223, 10553], [2817, 9936], [6552, 9152], [8171, 10816], [7205, 8219], [3524, 11491], [912, 3155], [3747, 10974], [3869, 5487], [2210, 5178], [3605, 7134], [6750, 9517], [55, 6917], [254, 10510], [4416, 9039], [2678, 10881], [1241, 8699], [6366, 9527], [459, 4499], [932, 4157], [7952, 8045], [9206, 11274], [895, 11445], [4066, 8633], [5551, 7099], [454, 7538], [710, 5249], [1070, 3340], [1672, 1688], [3408, 6189], [5364, 10656], [3165, 6431], [6681, 11201], [697, 9925], [6151, 8003], [6822, 9928], [2935, 6908], [1065, 2215], [1102, 11142], [2035, 2679], [40, 8837], [998, 3622], [8404, 8677], [2034, 8843], [98, 9192], [2025, 4593], [2143, 6534], [2733, 9783], [4, 3114], [364, 7621], [3885, 5565], [4936, 9963], [2140, 5482], [240, 8494], [1119, 5430], [2418, 7678], [6249, 10766], [707, 10589], [110, 6169], [1233, 10635], [101, 2673], [7330, 8590], [3899, 5621], [604, 6677], [3969, 11278], [3972, 10795], [874, 1842], [5672, 11135], [6890, 7537], [3428, 9419], [3113, 8095], [970, 11349], [6410, 7085], [9221, 10346], [2647, 6575], [8086, 9283], [2989, 3306], [5255, 8753], [1337, 9830], [6252, 9882], [3948, 5863], [1456, 4799], [2264, 9439], [4416, 10812], [488, 7791], [5125, 9811], [3750, 10759], [2322, 6411], [3846, 4805], [10408, 11225], [3591, 9948], [3632, 9949], [7739, 8771], [5435, 7758], [1445, 3105], [3929, 9943], [2654, 5837], [8163, 10038], [9259, 9675], [3407, 10770], [1700, 7761], [1222, 4753], [2691, 9102], [2, 7524], [6203, 6583], [1913, 8808], [856, 6093], [9, 1498], [318, 8669], [7412, 8534], [2405, 5483], [5788, 7280], [10177, 11450], [4447, 11222], [4511, 7265], [2298, 11278], [7059, 10890], [8393, 9160], [9084, 10209], [3172, 11253], [622, 6801], [2826, 4200], [11193, 11508], [274, 9501], [5809, 8507], [207, 1109], [243, 7936], [4432, 10540], [2076, 2167], [1570, 10697], [990, 8136], [9424, 10250], [8581, 8807], [6215, 10326], [9236, 10199], [1387, 5328], [2192, 9697], [4038, 10586], [2446, 5083], [5090, 9170], [5704, 10561], [13, 10261], [2616, 5679], [2989, 11145], [1238, 1448], [9022, 11559], [746, 4369], [2743, 11089], [155, 9563], [7022, 10957], [1519, 9954], [306, 1064], [6157, 8412], [1726, 11186], [3883, 8739], [2885, 10391], [114, 7660], [603, 4441], [360, 11099], [1067, 2101], [4675, 6460], [5612, 6784], [7291, 8499], [1754, 3004], [4145, 6645], [1414, 9729], [664, 4313], [1254, 5310], [8385, 10692], [94, 2470], [2371, 11459], [1523, 9672], [7064, 9624], [5534, 11415], [9207, 9753], [2323, 11418], [10480, 10780], [4661, 7851], [5930, 11388], [4075, 4721], [1571, 6306], [4467, 11368], [1656, 1691], [720, 4221], [6788, 10106], [5950, 9007], [293, 2656], [7603, 9501], [6791, 7371], [5992, 6200], [655, 2291], [1090, 2219], [3204, 8026], [2027, 7461], [1218, 4848], [6825, 9584], [5510, 9085], [2965, 11393], [7383, 7633], [2051, 11238], [10012, 10688], [339, 4879], [1994, 2036], [2763, 7502], [3375, 5814], [8436, 9825], [301, 1362], [2446, 8734], [7432, 10908], [5062, 10773], [919, 10042], [2569, 11019], [8104, 9271], [7297, 8239], [6421, 10820], [5834, 7088], [2501, 5408], [8447, 9610], [572, 2764], [3899, 11045], [9074, 9708], [8090, 8814], [6135, 7201], [684, 726], [5208, 10948], [2767, 6466], [6703, 10102], [6168, 6560], [499, 5110], [1629, 5829], [4702, 9275], [342, 10007], [1485, 5326], [2677, 6923], [1517, 7493], [954, 9073], [3965, 5225], [1817, 10387], [6767, 10652], [2567, 9387], [1094, 1132], [2804, 8576], [794, 840], [3120, 6338], [8197, 8630], [876, 3124], [2118, 8248], [4306, 8120], [13, 3658], [2310, 4254], [7967, 9107], [879, 10188], [24, 7230], [1304, 9428], [3182, 7566], [2272, 4901], [6062, 7988], [1788, 2078], [6407, 9154], [5624, 7762], [8612, 10161], [2943, 4547], [6709, 9492], [272, 7682], [5740, 8876], [1392, 5461], [1758, 9002], [1689, 11117], [7945, 9883], [2845, 10805], [1508, 8827], [947, 10480], [2723, 5712], [3626, 4954], [3003, 7981], [7232, 7732], [2103, 10168], [4061, 11298], [2438, 5728], [4748, 11447], [1350, 8618], [10816, 10916], [7874, 8138], [730, 2494], [405, 2734], [6110, 11011], [2502, 6652], [1165, 2422], [1024, 8633], [3080, 6134], [2651, 10158], [2055, 9346], [10052, 10705], [6198, 7825], [1344, 7268], [7994, 10125], [5033, 10303], [8095, 10931], [1022, 4773], [1831, 4353], [5786, 5787], [5691, 8933], [1945, 11056], [1417, 2269], [236, 4968], [10137, 10604], [7950, 9422], [2263, 6612], [3620, 5832], [814, 3669], [1135, 5939], [7231, 7456], [1966, 5867], [5615, 10227], [3003, 4143], [340, 1534], [7101, 11547], [8255, 10408], [4831, 9364], [8721, 9649], [8163, 10819], [7931, 11250], [2456, 2469], [5126, 5525], [2450, 8316], [2059, 8660], [6904, 11383], [6465, 10555], [4597, 9318], [1287, 2172], [4340, 11382], [4288, 4776], [7390, 10495], [1757, 4538], [7582, 10665], [7926, 10475], [3408, 4205], [1407, 6411], [3905, 5011], [9280, 10178], [687, 837], [5834, 10284], [129, 2007], [9339, 10758], [4640, 7860], [2491, 7916], [635, 10446], [5907, 8318], [442, 10805], [7073, 8694], [4978, 11238], [9527, 10405], [2767, 9662], [5002, 9380], [9150, 10455], [839, 10626], [4793, 9206], [3878, 5443], [7463, 8098], [1572, 7767], [5689, 7277], [4443, 11079], [2664, 5750], [3190, 5042], [951, 7834], [6859, 10054], [2346, 3374], [176, 4805], [4193, 7117], [1287, 11166], [3876, 4966], [1003, 4991], [2336, 6069], [2461, 11433], [9847, 10918], [2225, 2266], [4520, 6199], [628, 9251], [1927, 5083], [7159, 10696], [1754, 6818], [4858, 6194], [6, 48], [3139, 7332], [8443, 8849], [3822, 5110], [3768, 8257], [9143, 9260], [8184, 10086], [6651, 8196], [8311, 9861], [765, 1793], [5045, 5239], [1769, 4093], [2577, 8733], [146, 5693], [8394, 10835], [6465, 8945], [1299, 10745], [2192, 5135], [5368, 6831], [7300, 8992], [4179, 4751], [576, 1490], [3810, 7328], [4873, 6071], [3587, 10474], [3098, 8031], [2466, 10972], [5083, 10984], [2872, 5998], [3646, 11054], [282, 1393], [2403, 10623], [6570, 9496], [2772, 5013], [315, 7168], [7871, 11036], [1278, 3051], [1517, 8729], [994, 3292], [2014, 3119], [2855, 10151], [3512, 8960], [124, 6819], [5535, 8233], [4356, 6841], [493, 8379], [3067, 5311], [4968, 5153], [1472, 1789], [3498, 7749], [330, 10078], [483, 11074], [5304, 10737], [2229, 7595], [4126, 4285], [1693, 4582], [4798, 9818], [2346, 5147], [2189, 11579], [5582, 7648], [10463, 11526], [3307, 4367], [442, 11423], [5005, 10296], [1813, 8067], [3205, 10506], [60, 1707], [7382, 10821], [4174, 7335], [5529, 5728], [3481, 6590], [4716, 10543], [2319, 6333], [3912, 9028], [913, 5716], [3371, 11333], [8942, 9996], [320, 8585], [2069, 8787], [8170, 10648], [2816, 4106], [1472, 4367], [2755, 6082], [876, 3555], [5516, 11508], [8597, 9934], [1555, 3089], [4580, 4589], [5263, 8029], [4332, 10903], [3979, 9095], [7624, 9549], [833, 7241], [3510, 7304], [9579, 9627], [9137, 9282], [6461, 9821], [2481, 5856], [3253, 8587], [5123, 7618], [4650, 4954], [1286, 10377], [7762, 11361], [3378, 7535], [9257, 10515], [7079, 7921], [6588, 8061], [6984, 8815], [9509, 11490], [1593, 8807], [4891, 11432], [4805, 5996], [701, 10855], [3373, 4158], [3151, 5277], [3839, 9815], [7975, 9375], [881, 3094], [2247, 6564], [1593, 5774], [4355, 7638], [5998, 6690], [1742, 7745], [6152, 10540], [3769, 4508], [2420, 5179], [3421, 7208], [2710, 8136], [1512, 1806], [2547, 9835], [6339, 9585], [362, 3818], [6494, 7244], [1726, 4209], [4659, 8399], [5891, 8671], [3874, 11098], [4927, 9153], [4748, 7690], [4147, 5780], [260, 6924], [320, 6975], [4989, 6998], [2862, 10785], [263, 9824], [6316, 8261], [7157, 8877], [4330, 5083], [3327, 6391], [6255, 10237], [8713, 9438], [1299, 2987], [6911, 8821], [8592, 11363], [1051, 3639], [1458, 1519], [1138, 5513], [3569, 9307], [1946, 10907], [3314, 8034], [2290, 8465], [4416, 10869], [4750, 9991], [8586, 10013], [319, 6349], [365, 6694], [2188, 7407], [1109, 7377], [9033, 9951], [5177, 6244], [4394, 9016], [6758, 10834], [416, 6632], [99, 10897], [5333, 6757], [3311, 8086], [3891, 4231], [7065, 11516], [7412, 8591], [2276, 9856], [4332, 11521], [2343, 4662], [1247, 9189], [3169, 4246], [2804, 3559], [2449, 11504], [6525, 11013], [1081, 7207], [2744, 8389], [303, 4661], [2851, 9040], [2519, 3575], [5132, 9103], [5465, 8000], [3161, 6987], [5062, 6829], [795, 8506], [55, 7942], [4930, 7841], [8161, 9998], [8109, 9808], [730, 3543], [7858, 9408], [102, 3974], [3651, 10382], [191, 9681], [1975, 8938], [227, 2922], [1591, 5565], [7157, 10300], [4734, 4869], [2984, 10858], [2999, 5474], [4924, 10628], [8599, 9039], [65, 1059], [8437, 8711], [150, 9276], [1855, 3544], [6689, 8330], [2422, 5843], [2570, 5741], [5780, 8519], [3848, 7112], [3005, 5669], [2258, 3934], [5272, 7554], [1536, 3949], [1730, 4946], [4118, 7912], [2561, 4874], [448, 6839], [1483, 10704], [9575, 9671], [444, 2933], [1202, 8210], [3838, 8272], [3186, 4145], [352, 10514], [4951, 11296], [4268, 7856], [4428, 9269], [6637, 7766], [1816, 3939], [219, 3754], [4608, 7924], [64, 6849], [781, 5709], [2004, 6619], [130, 4436], [1434, 4022], [1559, 9386], [5937, 9233], [560, 6649], [8335, 9881], [4779, 6466], [2863, 8945], [6839, 10502], [1739, 5008], [858, 7245], [641, 3046], [7043, 8053], [5494, 5630], [4437, 9331], [2874, 8730], [422, 649], [5766, 6503], [3183, 10239], [4055, 6004], [7881, 8748], [200, 5151], [5487, 11225], [5564, 5995], [3612, 8817], [584, 1357], [4139, 10963], [2732, 5240], [8332, 9559], [517, 9180], [4531, 7811], [6494, 9285], [8108, 9851], [4448, 6056], [1540, 9278], [667, 9878], [2754, 6692], [696, 8364], [859, 10048], [3125, 8325], [6203, 9486], [6860, 7541], [8606, 10478], [447, 11043], [4824, 5030], [2246, 10608], [4051, 4326], [7600, 11488], [2777, 3828], [5244, 7279], [2001, 8525], [6013, 6329], [223, 6050], [5604, 11005], [4613, 7412], [2517, 6348], [4046, 10748], [6852, 7249], [1281, 2170], [6260, 9589], [1967, 5127], [5940, 7921], [248, 11183], [1924, 2047], [1607, 6312], [8961, 11177], [2017, 8627], [5253, 10374], [797, 4228], [4532, 7608], [1228, 6666], [4867, 10338], [1820, 4326], [1078, 10105], [3382, 5456], [1500, 2658], [98, 9330], [6431, 10760], [2780, 10491], [2150, 3679], [2191, 3680], [197, 641], [8756, 10371], [4112, 4928], [2902, 8387], [4581, 10102], [1551, 5979], [3613, 10842], [6593, 11468], [1950, 2463], [957, 8623], [5840, 9918], [3968, 7808], [4914, 6720], [2886, 9732], [5152, 8763], [1272, 6914], [4474, 9831], [2359, 10969], [1363, 6278], [6151, 10719], [3324, 6925], [1077, 6446], [1815, 9593], [5094, 8758], [5051, 5678], [2124, 11102], [2664, 8572], [4183, 5868], [4518, 7844], [7697, 9811], [2582, 8947], [1878, 4630], [6640, 7096], [1189, 7037], [8680, 10510], [3482, 3727], [4576, 8953], [4229, 8091], [4568, 8311], [4850, 11407], [1118, 5292], [4509, 4698], [3881, 5129], [3410, 8927], [10354, 11477], [5435, 11279], [6243, 9503], [4595, 10484], [5514, 6095], [1286, 9198], [4767, 5114], [4612, 7455], [2626, 5031], [2316, 10467], [2595, 3466], [1251, 3727], [2380, 11391], [2750, 10170], [214, 8834], [5040, 9595], [1926, 6525], [6662, 8524], [5413, 5639], [3824, 6069], [3113, 11161], [1036, 8619], [4267, 10022], [587, 4851], [5814, 10120], [642, 4558], [2670, 10591], [836, 5555], [239, 7551], [3454, 10673], [7052, 7174], [3509, 11511], [3220, 7244], [2817, 10237], [691, 1417], [3262, 10853], [4193, 7979], [2388, 7845], [103, 10292], [2751, 5453], [9442, 10563], [1727, 5884], [4557, 6943], [787, 10924], [4896, 6409], [100, 9994], [156, 11057], [686, 1423], [11244, 11530], [8097, 9074], [248, 1197], [1237, 1711], [3022, 10992], [5321, 5999], [4610, 6173], [4471, 9801], [1706, 6885], [4694, 11536], [3085, 8308], [6720, 8074], [1259, 3163], [3911, 11275], [3593, 6270], [4816, 7180], [1519, 7409], [3411, 10171], [4058, 7538], [1503, 9158], [1420, 6649], [8299, 9558], [1535, 4909], [3188, 5403], [2756, 5746], [352, 10945], [135, 5992], [4204, 4330], [3022, 3421], [5945, 6923], [4140, 6789], [4578, 10398], [1278, 6946], [1532, 7994], [8684, 11247], [4174, 9002], [5041, 10839], [5072, 10152], [1218, 3108], [1989, 2985], [2853, 5305], [1146, 1542], [4822, 9977], [115, 802], [6529, 7324], [1654, 5890], [5596, 9371], [1835, 2518], [145, 8558], [3970, 4284], [5814, 8510], [1046, 7727], [2541, 6881], [4354, 4624], [1888, 11197], [8662, 9394], [6060, 11168], [1917, 3267], [368, 7260], [4023, 4295], [5652, 6647], [167, 2840], [544, 3544], [3276, 3314], [7792, 9511], [3098, 11121], [880, 8374], [8039, 9388], [6731, 10060], [8317, 8578], [3181, 9843], [2589, 5767], [1756, 9176], [856, 7199], [1314, 2415], [2530, 8570], [5075, 7016], [9407, 10652], [8321, 9451], [9959, 11165], [5071, 9526], [1624, 6778], [4074, 7616], [279, 1152], [36, 7810], [3795, 5168], [2850, 9864], [6346, 6812], [2550, 10326], [3663, 8432], [2412, 9638], [9571, 10652], [5094, 10799], [1606, 11460], [3158, 11148], [9414, 10668], [6855, 7628], [5898, 9281], [2257, 3284], [2418, 10557], [7788, 11216], [6041, 8054], [3021, 11035], [4461, 10482], [2215, 6441], [7526, 9903], [5948, 8994], [3511, 7637], [1778, 3407], [9900, 10130], [86, 6368], [2897, 9629], [9822, 10247], [5469, 5734], [3160, 3623], [2974, 5153], [7645, 8255], [3753, 10553], [6060, 6175], [3265, 10964], [2286, 10414], [8141, 8836], [8760, 10571], [3414, 8054], [2166, 8777], [5361, 10523], [1720, 10942], [6978, 11360], [4087, 10779], [3053, 5604], [5792, 6545], [821, 10321], [8670, 11028], [9243, 10166], [1249, 8324], [2990, 10917], [3525, 8043], [4679, 11068], [68, 2355], [3495, 3670], [5795, 7947], [492, 10038], [8814, 11157], [24, 1302], [4082, 10031], [1737, 8263], [2546, 4460], [4949, 5452], [7148, 9677], [8710, 10053], [7244, 9385], [3918, 8876], [3665, 10682], [9358, 11028], [8114, 9241], [4404, 4605], [1885, 5882], [4411, 9159], [1849, 9608], [1816, 7216], [2530, 5805], [5300, 9065], [6239, 10216], [2349, 7679], [2497, 3413], [6393, 7650], [779, 5907], [2341, 6283], [8220, 9263], [9508, 11322], [1344, 4373], [307, 435], [1558, 9028], [9362, 10746], [5250, 9328], [361, 3300], [4660, 10960], [3325, 7557], [395, 2884], [9613, 11496], [212, 3177], [2144, 3086], [3510, 6556], [1521, 3861], [5564, 7394], [7399, 9622], [83, 4460], [831, 9049], [2717, 7859], [456, 6920], [3040, 6792], [700, 3116], [9853, 11333], [6230, 11577], [7593, 9114], [191, 4932], [10681, 10963], [7515, 7703], [5182, 7450], [1999, 2331], [1029, 5277], [2214, 4205], [2253, 9795], [3497, 5166], [3149, 10118], [5976, 7496], [1375, 9297], [9771, 10927], [5206, 8975], [2028, 10616], [1595, 10734], [2294, 8291], [403, 9137], [6726, 9879], [5358, 5582], [1961, 6361], [8616, 9562], [1305, 11160], [4096, 8127], [4505, 6834], [671, 6858], [8802, 11415], [640, 5293], [9363, 9762], [4895, 7019], [540, 8095], [4034, 10632], [9206, 9778], [607, 9317], [4130, 11094], [2872, 11129], [3692, 10868], [4556, 6772], [450, 8552], [4646, 6665], [3123, 4709], [4148, 5634], [2842, 2969], [375, 2901], [3427, 9257], [6290, 6292], [3946, 7378], [1212, 4529], [804, 2260], [803, 9205], [2016, 5263], [5536, 6769], [4600, 9299], [732, 10493], [1076, 3887], [8610, 10440], [2297, 4724], [862, 3369], [7956, 8869], [5303, 6948], [5246, 10578], [7318, 8612], [3467, 5249], [9134, 10036], [7169, 8489], [3518, 7466], [6073, 6600], [3953, 7394], [5453, 6892], [2277, 2944], [375, 11545], [5387, 8524], [1901, 4350], [2706, 7938], [4113, 4993], [9827, 10380], [334, 5478], [4410, 4987], [1433, 4632], [6094, 11210], [7024, 11117], [7764, 8675], [585, 6228], [7703, 10651], [3627, 4726], [425, 1809], [951, 7517], [1316, 2542], [8913, 10575], [10038, 10950], [4840, 10583], [6270, 9342], [6638, 8048], [2226, 8590], [756, 4016], [7762, 8198], [73, 4740], [5237, 11158], [6538, 7063], [3081, 10043], [3867, 10952], [32, 7368], [1245, 10596], [1393, 4078], [1272, 6003], [7815, 8209], [220, 4386], [2269, 11296], [4452, 10824], [3069, 5495], [6933, 10975], [1824, 9899], [8486, 10107], [1734, 4721], [3843, 5266], [2793, 6728], [7053, 8798], [3623, 9372], [1572, 10028], [2379, 4644], [2630, 8427], [10059, 11022], [1848, 1975], [1720, 2729], [1775, 2436], [1291, 6753], [9159, 10176], [2177, 10552], [1750, 4823], [750, 9812], [1813, 8555], [3233, 6626], [2181, 11425], [126, 10362], [147, 4823], [2393, 8083], [2758, 6518], [1737, 6466], [7872, 7911], [4094, 4861], [2856, 7026], [6113, 9650], [449, 8544], [4057, 5733], [5985, 8152], [1943, 7473], [6695, 10005], [4026, 9803], [5867, 9594], [3652, 11282], [3872, 7084], [5797, 11484], [2399, 5245], [2409, 5933], [4308, 9866], [7009, 8071], [2346, 4830], [4703, 10395], [8787, 9765], [4078, 10343], [2242, 10896], [3890, 10292], [6794, 9580], [3826, 6335], [5817, 9076], [3007, 9423], [4031, 6740], [209, 4115], [1663, 7432], [1893, 10338], [7935, 10838], [6958, 11115], [10328, 11142], [6180, 10067], [1758, 9921], [6334, 7501], [4522, 6196], [231, 2561], [4219, 6387], [2469, 5960], [6515, 9764], [8564, 10258], [4118, 5554], [6081, 10438], [6633, 10951], [7254, 10103], [3235, 4712], [4704, 9061], [1590, 1827], [6543, 8025], [939, 6970], [3086, 11005], [3308, 3470], [4147, 7423], [1148, 4865], [5450, 9790], [9017, 11142], [4812, 9533], [3009, 5308], [684, 3418], [3910, 4477], [5501, 9755], [7954, 10864], [6493, 10540], [3624, 7274], [2722, 8634], [7489, 9946], [1384, 4179], [7478, 11285], [5613, 6936], [2712, 4913], [79, 4368], [695, 6586], [6582, 10181], [4899, 10976], [164, 3917], [964, 4532], [3229, 9754], [6167, 8626], [2676, 5606], [279, 1396], [1547, 7741], [1798, 5108], [4532, 5705], [7095, 11116], [490, 5780], [298, 2577], [4093, 8260], [958, 4313], [3781, 4201], [4405, 7034], [2349, 3117], [5528, 10746], [3840, 4781], [940, 8618], [3151, 7188], [8968, 9290], [3253, 10848], [7816, 10475], [3433, 9503], [2924, 11346], [1535, 6926], [3985, 7764], [5752, 11578], [1970, 6854], [5891, 8704], [967, 7408], [1828, 9430], [3352, 7070], [5812, 9350], [6008, 7010], [4439, 4709], [4886, 6152], [5161, 8077], [7890, 8330], [51, 7557], [5990, 11342], [5064, 8144], [1640, 6346], [3481, 6891], [6934, 7175], [7610, 9444], [5896, 10926], [5837, 7313], [2126, 2829], [1854, 4585], [945, 2522], [3188, 6265], [657, 5273], [5147, 10249], [4992, 6928], [8937, 9172], [4778, 7908], [1934, 2255], [5646, 11101], [5939, 7216], [1281, 5073], [1897, 7291], [7504, 7863], [4445, 5254], [2363, 2368], [163, 11504], [2869, 3637], [5125, 8396], [1983, 5530], [9713, 9743], [4947, 9787], [3111, 9586], [2925, 11116], [7118, 11210], [4857, 6861], [7780, 10363], [7023, 7940], [4959, 9797], [3219, 3642], [4471, 10208], [8227, 9547], [2444, 11193], [1355, 6311], [9190, 9594], [2292, 7389], [4842, 5425], [6821, 7432], [7949, 11488], [5480, 5712], [4862, 6831], [158, 3589], [1386, 4843], [1319, 3621], [6109, 8135], [7788, 9850], [5546, 8961], [3775, 8411], [3095, 8652], [7878, 9743], [1061, 8466], [2339, 9083], [4703, 9403], [6871, 7145], [25, 966], [3796, 6255], [7438, 8690], [776, 9236], [8742, 9030], [6629, 10995], [9588, 9990], [4827, 10378], [7442, 9563], [4600, 4737], [899, 5105], [4319, 8659], [1759, 9935], [6285, 10404], [1486, 7302], [5751, 9716], [2136, 9104], [3667, 3751], [3851, 10476], [305, 3585], [6048, 6704], [110, 6527], [1543, 4803], [1500, 8139], [4115, 7324], [10100, 11454], [3906, 7150], [1932, 7769], [6918, 9943], [4299, 6852], [7038, 7793], [6203, 11129], [1521, 9366], [10146, 11048], [4602, 10044], [932, 8971], [2618, 7693], [2210, 10342], [1489, 10582], [4911, 10799], [1148, 3873], [3381, 6174], [559, 3478], [6464, 7679], [5662, 6237], [8170, 11217], [1950, 7944], [4624, 8490], [5961, 7058], [556, 9596], [6936, 10118], [4758, 5272], [2820, 5548], [361, 6122], [9576, 11053], [6431, 8670], [868, 7616], [2513, 4085], [4844, 9927], [44, 4725], [5465, 6073], [3653, 4768], [7424, 10057], [8071, 8178], [7823, 8076], [9218, 10032], [2721, 8171], [4618, 11277], [1199, 3407], [1159, 10424], [7969, 10530], [1651, 4470], [6795, 10236], [1279, 9028], [1212, 7806], [1802, 4639], [6719, 11180], [4179, 10826], [4384, 7848], [3864, 9502], [7508, 9354], [1531, 2833], [3327, 5887], [6035, 7515], [8156, 9575], [6747, 10195], [10322, 11408], [1047, 5645], [455, 1569], [2700, 6139], [637, 7467], [2722, 3454], [7016, 10770], [6868, 8620], [9237, 10782], [3812, 4774], [8982, 9509], [1793, 10538], [7877, 10540], [1915, 5051], [9879, 11188], [5581, 6382], [4980, 5226], [2399, 4871], [1375, 4548], [3147, 9460], [1676, 8448], [5822, 8696], [9378, 9859], [8308, 9945], [6658, 6716], [5476, 5807], [9581, 10218], [9646, 11367], [3448, 9573], [6280, 6541], [7066, 7450], [6992, 9221], [5154, 6695], [1795, 6046], [3964, 5144], [6902, 9678], [2673, 3511], [80, 5805], [787, 3223], [7863, 8898], [10073, 10249], [5956, 8487], [135, 8895], [1009, 5487], [639, 6708], [11119, 11297], [3117, 3178], [7801, 11403], [1729, 8028], [4774, 10961], [7159, 7240], [8290, 10813], [97, 3126], [6788, 8236], [3080, 6679], [7757, 11481], [245, 2243], [1709, 7002], [8333, 10136], [4454, 11141], [4442, 9626], [6097, 6783], [21, 6672], [4754, 8400], [2724, 5704], [6643, 7481], [6302, 7188], [445, 5687], [6114, 7137], [8545, 8679], [4159, 10442], [7387, 8164], [3469, 9995], [5243, 8564], [5234, 10730], [1354, 2465], [1004, 10754], [1011, 1345], [2439, 5693], [6201, 6732], [36, 7330], [779, 11575], [1878, 10729], [1754, 2557], [7282, 10218], [3488, 8143], [8751, 8905], [5224, 6228], [1256, 7942], [6996, 8134], [1638, 4102], [844, 2521], [242, 4173], [2614, 10770], [723, 4446], [4797, 7292], [334, 7145], [423, 10600], [7282, 10568], [1116, 1896], [2476, 7049], [4031, 4756], [7578, 10337], [5393, 10736], [4188, 8123], [327, 10488], [692, 4759], [4902, 7466], [1318, 7665], [100, 683], [6115, 7688], [2632, 8693], [1254, 3708], [8012, 10794], [7692, 11378], [1902, 4683], [4928, 5654], [6209, 9952], [1560, 4919], [2895, 6070], [4237, 4982], [71, 2547], [4450, 6029], [7870, 10337], [4955, 10860], [2457, 5844], [590, 11248], [6158, 6230], [4552, 9689], [1204, 6223], [11236, 11376], [1804, 4498], [2227, 6321], [6714, 7616], [6712, 10953], [7873, 10985], [5008, 10871], [1239, 5628], [272, 2429], [1395, 6141], [1130, 10596], [6281, 11117], [4185, 10053], [8414, 9804], [6239, 10891], [3930, 8780], [1008, 6634], [1120, 6875], [8449, 9990], [5233, 11147], [5171, 8017], [1215, 9364], [6951, 10538], [1559, 6922], [683, 9503], [2087, 9293], [4926, 8186], [750, 5063], [6696, 9265], [9433, 10133], [6938, 8798], [2763, 9283], [7251, 10426], [10668, 11053], [1272, 3832], [5773, 8243], [6999, 9424], [7307, 7325], [77, 1183], [1078, 6218], [734, 6408], [5154, 9891], [8956, 10329], [5365, 10111], [4317, 5984], [136, 8179], [800, 8159], [1753, 9016], [4153, 10491], [6641, 8403], [7365, 7680], [2907, 7877], [6011, 8007], [8419, 9343], [3710, 9921], [3720, 4947], [798, 10715], [2782, 10814], [8977, 11556], [8853, 9800], [3371, 7422], [2645, 7318], [501, 2800], [2703, 10706], [4136, 8982], [872, 5187], [8217, 8835], [2515, 11409], [2214, 8263], [3327, 7123], [5505, 9717], [2050, 2190], [33, 11033], [592, 6301], [5822, 11087], [1669, 3252], [8127, 9292], [5870, 7371], [5276, 7386], [5439, 8316], [552, 10285], [795, 3627], [7642, 8496], [827, 1630], [4999, 8017], [9701, 10432], [9510, 10864], [8794, 11448], [105, 1645], [6087, 6258], [36, 3760], [569, 10639], [194, 11516], [2102, 6113], [9283, 10858], [2628, 6159], [2086, 7862], [7664, 7696], [3216, 8581], [95, 4340], [2376, 4403], [753, 10167], [8592, 10940], [249, 1774], [5147, 8265], [7292, 11473], [5570, 6678], [6910, 8173], [2653, 10538], [3851, 5564], [6171, 11217], [1720, 6169], [7038, 10802], [6410, 7069], [2337, 5579], [1055, 6718], [1746, 10773], [376, 10567], [5820, 7203], [3103, 9993], [54, 8072], [2454, 3131], [730, 3925], [3224, 11451], [704, 6087], [1634, 10158], [101, 8268], [1852, 11549], [1840, 10034], [4204, 5436], [6721, 8250], [5482, 6053], [7379, 9159], [1004, 6729], [4555, 9800], [5852, 8969], [4389, 7818], [1894, 7237], [3270, 11395], [6071, 6798], [2513, 2556], [3693, 6802], [3225, 5236], [2705, 2726], [8059, 9268], [52, 805], [8238, 11485], [1949, 10327], [3048, 9481], [8676, 8678], [3232, 5626], [1539, 5733], [2514, 8793], [1409, 9824], [2126, 2268], [2721, 10025], [1719, 7771], [7983, 10562], [3845, 10175], [5012, 10052], [8382, 8581], [4120, 5684], [808, 4881], [1778, 8351], [6260, 8548], [9384, 10054], [284, 5635], [11113, 11132], [869, 2124], [4707, 8635], [8217, 9453], [130, 11584], [8709, 9915], [4445, 11109], [5349, 9041], [8580, 10444], [2642, 3851], [5618, 11151], [2103, 3573], [4071, 5391], [9733, 9834], [3164, 6407], [1366, 3280], [7866, 8822], [3279, 10329], [1269, 9763], [5773, 11439], [8667, 10039], [1161, 11169], [4746, 5156], [2781, 2855], [230, 11010], [2405, 3507], [5426, 8298], [4201, 6561], [118, 3629], [6139, 9668], [3954, 9313], [8064, 8406], [2455, 6253], [3580, 4376], [2580, 5201], [811, 11140], [6380, 9730], [4317, 11058], [8114, 11152], [5218, 9473], [741, 9620], [5500, 8405], [7176, 10603], [3320, 9148], [2110, 10355], [9897, 10938], [4226, 7907], [2106, 6449], [6767, 8863], [1849, 5103], [6086, 8879], [6218, 11250], [6961, 9079], [3934, 10889], [6353, 10162], [6733, 10383], [3335, 3390], [597, 5303], [4149, 9730], [5613, 9571], [11050, 11452], [586, 4390], [2987, 9473], [4513, 10192], [4262, 6409], [5263, 9192], [3174, 11551], [1777, 6516], [932, 1994], [493, 1166], [6351, 9685], [2733, 5392], [4033, 10494], [2923, 4735], [891, 5376], [5932, 7257], [8332, 9486], [6408, 7186], [9290, 10687], [388, 591], [549, 5612], [3441, 9801], [3575, 5829], [6493, 8987], [4303, 9042], [7888, 10943], [4053, 8113], [7785, 7812], [1663, 5074], [7444, 7519], [9078, 10215], [2311, 6049], [8575, 8840], [5705, 11388], [8353, 10713], [411, 8307], [5213, 8674], [1617, 8112], [6551, 10096], [5985, 11405], [220, 8712], [6259, 9695], [7907, 9091], [2298, 7692], [6188, 10983], [10269, 10836], [5314, 7975], [6936, 8402], [7159, 8639], [3444, 5911], [4293, 10552], [4537, 10912], [6244, 8259], [237, 6033], [3227, 4341], [9732, 10981], [5216, 10419], [4068, 8340], [546, 3755], [293, 4063], [224, 8430], [2774, 6466], [7259, 11098], [3499, 9351], [2004, 3781], [1284, 11039], [725, 2939], [3705, 6975], [2218, 7682], [1967, 3899], [1375, 3987], [3613, 7386], [905, 1594], [6691, 8547], [2673, 9016], [2334, 2380], [1093, 10690], [1714, 7590], [124, 4412], [898, 10222], [4017, 11384], [8206, 8326], [10231, 10678], [3887, 9059], [5026, 6888], [6249, 7798], [9764, 11212], [2293, 9145], [1959, 10023], [951, 10233], [3320, 6733], [5837, 8793], [6546, 7792], [6709, 9476], [3029, 3551], [5432, 10959], [1485, 7888], [2849, 8279], [1202, 10983], [168, 10726], [455, 10002], [2315, 7591], [4591, 7310], [4421, 5209], [8593, 10842], [2409, 7226], [3186, 10301], [1003, 4357], [402, 9617], [10644, 11382], [5322, 7007], [2925, 9213], [4633, 9414], [1374, 5963], [428, 1389], [3509, 5477], [2830, 9326], [3544, 7915], [4105, 6262], [3227, 5764], [4813, 11452], [5739, 8234], [5993, 11534], [1860, 2823], [6670, 8743], [6148, 10324], [2473, 4743], [3942, 4928], [9031, 10263], [1567, 9367], [3210, 4255], [4113, 5749], [601, 9022], [3053, 6523], [7329, 10227], [6985, 10417], [5149, 10970], [1180, 4942], [121, 2154], [6576, 8677], [2058, 2407], [721, 3839], [4599, 9779], [1151, 3423], [3484, 3676], [5698, 8933], [2892, 6016], [6596, 10083], [4483, 5632], [990, 8201], [5415, 5612], [4971, 8604], [954, 9675], [2542, 4856], [9233, 9966], [7863, 9760], [3353, 7515], [6080, 6941], [6613, 7404], [5780, 6649], [6669, 10719], [2156, 8203], [106, 8238], [2840, 4671], [7258, 7327], [7418, 9494], [6568, 6880], [2739, 7248], [1526, 4774], [2279, 9707], [596, 4840], [3679, 5591], [3335, 5781], [4326, 9374], [2638, 10579], [6725, 11378], [4129, 5827], [796, 4147], [592, 10733], [709, 11318], [269, 5384], [6373, 6762], [10915, 11174], [10631, 11415], [6622, 7466], [4466, 6351], [1828, 5462], [507, 1011], [1852, 10020], [3106, 6079], [670, 2695], [3443, 9636], [9035, 9176], [5437, 5505], [7235, 9386], [4587, 7809], [5079, 7517], [2012, 4236], [2163, 10821], [4496, 11074], [9538, 10147], [5178, 10879], [4269, 8816], [9649, 10917], [3326, 3759], [3761, 10103], [4296, 7229], [1686, 1972], [3417, 3877], [4628, 9688], [2018, 4431], [11021, 11169], [8680, 11055], [4980, 7861], [4978, 7034], [3323, 3461], [10580, 11426], [5074, 6742], [2361, 4770], [308, 370], [3976, 4780], [648, 7608], [1668, 9687], [3326, 10525], [8800, 9255], [4839, 10258], [302, 3184], [1479, 3749], [2282, 8045], [726, 10867], [5584, 8133], [7944, 10209], [855, 10688], [3525, 9580], [404, 6093], [567, 7023], [2681, 8666], [5542, 11290], [4021, 10915], [2741, 6465], [9308, 9819], [7899, 9685], [1736, 6946], [4972, 8693], [6477, 9289], [529, 7670], [5078, 9843], [2637, 5361], [3975, 10166], [3037, 9617], [2383, 4663], [7608, 9105], [1269, 8584], [5123, 9212], [2253, 2338], [1915, 5726], [301, 5160], [5046, 9931], [1539, 7132], [10119, 10569], [663, 3297], [4831, 5778], [3699, 4232], [5474, 5655], [341, 4185], [7966, 10102], [7274, 8828], [4760, 10449], [2827, 11069], [3223, 4653], [7333, 9408], [3040, 4946], [8637, 9748], [4292, 5096], [6398, 8376], [2702, 9088], [2141, 10741], [4650, 8776], [2281, 9997], [1099, 2672], [4897, 5620], [4111, 5465], [4439, 4742], [10528, 11504], [2936, 11362], [284, 5879], [688, 3488], [7103, 7202], [1890, 5803], [1750, 9930], [5475, 8458], [339, 6717], [2011, 7261], [2551, 4731], [4693, 7668], [6152, 11329], [1450, 2498], [140, 8759], [119, 7882], [7273, 8552], [9363, 11299], [3260, 6359], [794, 6516], [6575, 6709], [6826, 10492], [5150, 6042], [8756, 9574], [1321, 7164], [9160, 10566], [2813, 6020], [4113, 10368], [1059, 8103], [6850, 8984], [690, 3510], [1560, 9782], [9216, 10848], [687, 3212], [2705, 4393], [179, 10915], [5812, 10456], [2639, 6025], [857, 10978], [7235, 11427], [1793, 2032], [79, 3514], [8069, 8620], [4125, 11482], [4495, 10261], [5716, 10344], [3304, 5102], [883, 2750], [6739, 10442], [951, 6826], [2940, 3105], [9872, 11310], [3961, 6540], [807, 7077], [5944, 9420], [2714, 10871], [2523, 4887], [4398, 6514], [1181, 2565], [1841, 10717], [2237, 4301], [1311, 7519], [370, 9705], [1057, 9854], [4037, 7474], [6679, 9236], [1547, 10620], [5618, 9785], [5628, 10473], [6806, 7476], [6641, 9883], [4996, 6998], [789, 10978], [1408, 4045], [2244, 4317], [7572, 10392], [1593, 3798], [3874, 10277], [223, 9254], [2057, 7874], [3213, 7562], [3268, 8023], [6239, 8533], [2932, 8074], [5265, 8327], [4324, 10513], [4833, 5664], [3644, 10000], [2128, 9969], [6567, 7840], [5753, 11299], [1898, 10446], [4487, 8410], [8735, 8965], [1054, 9532], [4011, 5448], [2925, 11417], [6492, 8605], [1571, 10990], [3344, 5924], [7089, 9992], [1542, 9471], [3872, 6043], [6963, 11573], [1139, 1884], [4836, 11196], [9003, 10069], [2819, 6453], [4806, 6069], [8629, 11548], [2872, 3835], [879, 3650], [1068, 6555], [466, 8207], [6720, 10310], [9397, 10373], [5584, 6336], [3423, 10539], [131, 8860], [5202, 6419], [5666, 11249], [3882, 5576], [1495, 8470], [1676, 5098], [6958, 10074], [86, 1920], [2887, 4493], [3353, 5986], [4075, 8600], [5759, 10659], [5470, 10556], [152, 3671], [3916, 7789], [7268, 8021], [2696, 4144], [2694, 3317], [7026, 11117], [10717, 10815], [9513, 11056], [8331, 10147], [5337, 7933], [3964, 8210], [3783, 5166], [667, 2023], [507, 4020], [3991, 5869], [5326, 7774], [6487, 7806], [4897, 11044], [661, 7870], [2376, 11494], [2025, 10513], [1746, 11098], [817, 1967], [3611, 9785], [8619, 9274], [8722, 10153], [1967, 9754], [59, 2325], [4259, 6973], [768, 3953], [372, 3953], [5188, 7436], [4143, 9242], [1459, 5756], [2334, 5202], [2537, 5561], [2131, 4873], [3011, 4663], [10201, 11406], [9394, 9620], [8391, 10928], [8764, 9224], [1254, 7229], [323, 3687], [584, 8912], [2497, 5381], [4188, 8611], [7, 5144], [4864, 5218], [7893, 9116], [4863, 4993], [1103, 10416], [6382, 8705], [1246, 3554], [6939, 10316], [3899, 8858], [5565, 6204], [5043, 7031], [2708, 10115], [1588, 3668], [2448, 2836], [4130, 10484], [5470, 5563], [2269, 10418], [8399, 10765], [2733, 8832], [548, 2061], [6585, 8633], [5243, 10475], [1136, 5237], [5093, 6744], [2326, 3755], [757, 6372], [1641, 3652], [3492, 9823], [3662, 8514], [2943, 3165], [1138, 8693], [6984, 10035], [2588, 4694], [3312, 3971], [196, 7244], [1933, 5931], [1556, 3729], [1489, 2507], [6703, 6760], [10860, 11361], [10402, 10483], [5760, 5867], [120, 5155], [490, 3934], [2091, 10654], [7430, 9748], [1978, 5300], [424, 8949], [7898, 9035], [1262, 3632], [4195, 7822], [5165, 11292], [7806, 9446], [1672, 5193], [6085, 9757], [4785, 8038], [5714, 8501], [6242, 10872], [2870, 10018], [1973, 5306], [3905, 7467], [2372, 4823], [1040, 7353], [3306, 6384], [4711, 9028], [4140, 9993], [2842, 4937], [903, 8021], [3712, 10455], [6663, 9589], [6764, 10395], [2154, 10198], [879, 6846], [2059, 6928], [2671, 5994], [3646, 9054], [7743, 9440], [2392, 6579], [2617, 9141], [2087, 5943], [1113, 5737], [1739, 8643], [3845, 5507], [3237, 8068], [4823, 6586], [859, 8072], [1762, 9566], [2194, 9223], [4821, 9923], [554, 1020], [4525, 8649], [6868, 10344], [4094, 9594], [1162, 2596], [8047, 10201], [199, 5932], [3466, 9244], [1004, 11055], [1101, 7955], [5614, 7465], [507, 7216], [314, 7575], [3053, 4352], [5074, 9214], [8131, 9498], [8344, 10545], [2052, 9116], [6868, 9189], [4380, 4861], [1369, 5676], [5133, 9794], [152, 5712], [2731, 5240], [7364, 9770], [5848, 9739], [5779, 7690], [1799, 8643], [6408, 7861], [4317, 7895], [3821, 9943], [5113, 8768], [295, 2206], [324, 7108], [909, 10013], [6208, 10432], [167, 8622], [1039, 2889], [4650, 10175], [3585, 10605], [5887, 10791], [97, 4850], [3493, 11016], [7003, 7670], [3616, 9137], [6942, 7394], [2900, 6715], [7155, 8441], [6287, 8631], [3704, 8203], [490, 7935], [1859, 2254], [984, 7689], [5846, 8107], [1297, 6688], [5751, 11253], [2764, 3794], [3158, 7131], [2106, 5514], [5390, 6551], [4242, 10888], [5395, 6895], [479, 3208], [3875, 9374], [2034, 9583], [2908, 10339], [1232, 8141], [5349, 6146], [215, 1822], [10113, 10193], [3053, 9158], [4817, 7039], [1401, 9266], [1580, 5067], [2147, 6612], [717, 6355], [1322, 3496], [5103, 9473], [8212, 9947], [922, 6006], [3265, 6947], [2826, 10283], [5339, 9191], [10029, 10091], [506, 1597], [517, 5139], [1035, 6822], [2819, 6079], [7516, 8150], [8132, 10368], [10434, 11308], [1535, 11309], [6817, 9869], [561, 4687], [6517, 9577], [1271, 6540], [2551, 3820], [1783, 8378], [1907, 3718], [307, 7022], [28, 7607], [10516, 10559], [1839, 2271], [810, 4610], [1625, 10421], [6035, 9052], [274, 8013], [3672, 7836], [3973, 10982], [895, 4159], [215, 10816], [7534, 9079], [244, 2886], [1823, 7403], [3951, 6470], [10100, 11031], [3415, 9873], [1734, 11495], [8055, 11410], [1047, 10565], [419, 10996], [5739, 5876], [1599, 11078], [2509, 7327], [2693, 9888], [2996, 7445], [6588, 10517], [6337, 6734], [5184, 11481], [4095, 6599], [387, 11458], [3940, 8940], [6956, 9223], [9750, 9871], [3246, 11003], [5615, 7503], [5393, 8622], [2406, 3415], [3679, 10104], [3459, 5634], [7692, 9264], [7728, 8921], [5075, 7000], [5352, 5588], [4209, 10269], [718, 7249], [1962, 2620], [4076, 4263], [906, 3513], [2515, 4489], [3261, 8251], [298, 5350], [3262, 4689], [170, 6104], [1732, 6480], [3447, 7852], [8298, 9609], [765, 4412], [2064, 5906], [9159, 9379], [819, 6900], [879, 4699], [2183, 7291], [7888, 8398], [6231, 11168], [6971, 8726], [5135, 9279], [8650, 10441], [4603, 9418], [5038, 9346], [631, 10232], [2086, 10741], [1248, 9642], [685, 10468], [876, 7784], [5606, 5831], [19, 1747], [8618, 8624], [6412, 7392], [2675, 7349], [6627, 11518], [622, 3703], [1214, 1363], [1675, 1758], [706, 8312], [10895, 11197], [5878, 7458], [1921, 5197], [10171, 11166], [7765, 9122], [3818, 6051], [4628, 11518], [428, 3837], [3091, 5722], [1322, 7497], [5282, 9275], [4394, 8089], [4679, 10702], [1038, 11121], [2377, 4100], [695, 7749], [3224, 7914], [2967, 10732], [2786, 7688], [6043, 10312], [317, 8328], [470, 8570], [6170, 10087], [2457, 8186], [592, 3837], [2427, 10229], [2798, 7698], [1996, 7010], [7961, 9010], [5290, 5729], [997, 8437], [1957, 10465], [4913, 9943], [8522, 10740], [2354, 7657], [926, 6692], [3849, 10194], [4361, 4892], [7757, 11058], [4400, 11236], [6239, 10200], [71, 701], [5604, 9460], [1836, 7852], [5482, 11160], [255, 6645], [183, 4325], [3359, 6021], [2920, 9357], [1249, 7503], [2266, 10819], [6481, 6700], [70, 11029], [6381, 9502], [378, 8930], [2334, 8479], [6716, 9226], [3674, 4312], [1771, 3643], [6771, 9687], [3610, 6771], [1277, 6518], [7338, 8980], [4103, 10087], [3048, 11205], [3290, 10738], [6117, 8116], [3068, 5441], [4969, 6037], [7827, 9144], [9172, 10983], [4569, 8547], [6649, 8354], [1606, 5646], [8576, 10171], [109, 5665], [2968, 5210], [1728, 10712], [4555, 7336], [223, 3700], [8130, 8549], [1810, 5826], [1500, 11262], [4800, 11304], [963, 7647], [6, 8546], [531, 820], [5598, 8086], [6816, 9406], [5383, 6966], [1425, 2982], [2580, 11113], [2604, 2839], [1616, 5179], [2397, 5744], [5630, 7974], [5819, 10879], [6024, 7147], [5098, 10365], [335, 7674], [1388, 6483], [4913, 8333], [3385, 6787], [3502, 8126], [8476, 8785], [4830, 11489], [1812, 11133], [6136, 8492], [3832, 6725], [5179, 10145], [3054, 9841], [5106, 10606], [10345, 10974], [10840, 10953], [961, 6015], [1678, 1869], [828, 10589], [800, 8541], [3, 7443], [1426, 5031], [3583, 9754], [1109, 9296], [3043, 5868], [1510, 3224], [6031, 7513], [988, 4805], [6774, 7594], [8114, 9843], [4473, 9508], [4277, 10350], [1737, 5832], [2256, 8117], [8355, 9151], [757, 5811], [5989, 7260], [10, 10492], [354, 3886], [1401, 2126], [131, 5534], [5896, 7446], [7262, 10916], [498, 10431], [3110, 5935], [5164, 6773], [2860, 5006], [465, 1623], [1557, 6022], [502, 11304], [4070, 11346], [5391, 9381], [3516, 6973], [5658, 10664], [2855, 11428], [7862, 8063], [6242, 6928], [5084, 10577], [3062, 6244], [1790, 8825], [453, 3841], [3957, 7096], [4961, 9396], [5828, 8981], [7724, 8479], [74, 10611], [8723, 10435], [8908, 9434], [3529, 10941], [1127, 6387], [1490, 10411], [4549, 11522], [3851, 6296], [1428, 9533], [6320, 9039], [5040, 7595], [998, 6916], [2170, 7137], [6091, 9741], [7622, 8552], [5748, 6369], [4448, 6902], [4498, 6265], [890, 2660], [6609, 7637], [1113, 8559], [5466, 6656], [638, 5068], [4127, 11425], [7761, 10589], [15, 5843], [10438, 10652], [2098, 5921], [8159, 10635], [6180, 8628], [7042, 7869], [2899, 7138], [2620, 7723], [1720, 5746], [5, 2122], [4858, 11122], [3029, 6430], [1224, 2132], [1438, 10197], [9498, 9626], [1903, 11465], [6717, 8459], [2486, 5629], [2200, 11459], [1297, 3549], [2179, 10582], [1307, 4237], [5508, 8356], [5663, 6015], [204, 1177], [5408, 11158], [1260, 3667], [6645, 9522], [107, 1244], [7856, 9671], [77, 2533], [1885, 7102], [8483, 9769], [3197, 7303], [3102, 10449], [7111, 7982], [4561, 7694], [4117, 5768], [2599, 9074], [7673, 7685], [3743, 7247], [6886, 8803], [7818, 9537], [7916, 10072], [4676, 10835], [9184, 10001], [2375, 7087], [8412, 11407], [7412, 11478], [5794, 11170], [2119, 6343], [1644, 2852], [364, 5572], [2237, 9782], [269, 2302], [1392, 6014], [1524, 7631], [9640, 11156], [5385, 10184], [1517, 10624], [844, 7872], [3042, 5456], [5187, 8664], [3820, 5723], [5267, 7869], [1416, 6758], [5616, 8023], [6087, 7608], [2152, 7580], [1880, 2920], [2473, 9850], [357, 1718], [8846, 9955], [5577, 5816], [3305, 6216], [4086, 6781], [786, 1077], [6226, 9645], [4612, 6073], [6513, 6669], [9157, 10756], [9274, 11341], [6949, 9451], [9750, 11270], [3086, 4573], [987, 10408], [4536, 10400], [1857, 9510], [3233, 11416], [3389, 5513], [707, 7735], [3169, 6678], [7072, 7198], [8568, 9206], [851, 3700], [3841, 9178], [4458, 7834], [2957, 10363], [3459, 9261], [9118, 10777], [532, 9023], [7290, 8939], [1648, 11564], [1555, 8367], [5121, 6084], [5969, 7871], [4205, 9990], [327, 10496], [5227, 7234], [4046, 9179], [4970, 5134], [4070, 7321], [3535, 3779], [8543, 10438], [1545, 10281], [6115, 11079], [1478, 9059], [1949, 8644], [1235, 2885], [5746, 8738], [2847, 3378], [2948, 10600], [1997, 4928], [6339, 9252], [3223, 6109], [508, 2556], [9630, 11460], [719, 7694], [1687, 9583], [154, 1277], [5673, 10330], [5112, 7819], [4367, 7665], [1024, 10959], [6041, 8282], [567, 6519], [433, 4075], [687, 11539], [3292, 3620], [9958, 10363], [6724, 8662], [3264, 11371], [1296, 3137], [6963, 8678], [6844, 7266], [2818, 7120], [4786, 8938], [4776, 7496], [5772, 9935], [3597, 4606], [2260, 6038], [3936, 4072], [4338, 7270], [3813, 5170], [487, 4661], [2283, 6961], [4304, 5407], [7638, 10695], [4114, 5283], [5798, 11506], [7257, 11003], [1158, 3553], [8418, 11035], [5015, 10114], [4483, 11007], [3650, 10252], [4025, 9375], [1900, 3409], [2705, 8532], [2340, 7845], [1316, 10528], [9456, 11441], [2964, 3508], [8065, 10358], [641, 3973], [6320, 10275], [1797, 3661], [2696, 7665], [5505, 7847], [11012, 11221], [3194, 4909], [7118, 11194], [1605, 10257], [8647, 9932], [10225, 10841], [7362, 7390], [8824, 10568], [923, 9671], [5658, 8062], [4490, 11023], [3565, 10679], [1910, 7106], [2042, 9477], [3876, 8097], [734, 10149], [3556, 6429], [2152, 7393], [5023, 10705], [3707, 6598], [875, 2460], [4140, 9863], [4489, 10017], [9460, 11159], [1122, 3091], [91, 1597], [3148, 8297], [8900, 10004], [414, 1284], [1004, 8697], [2926, 3000], [2024, 10776], [9785, 10138], [439, 8696], [537, 9985], [1282, 3723], [6598, 8283], [1148, 11078], [3877, 11331], [641, 3168], [5873, 8781], [4749, 11260], [242, 2116], [4070, 7939], [145, 8599], [2691, 3483], [3403, 8415], [2001, 3036], [574, 1542], [197, 5756], [764, 8055], [2686, 6522], [1412, 1860], [2240, 2271], [906, 3220], [1009, 4853], [4607, 7770], [656, 9461], [2218, 3421], [10585, 10729], [5167, 5892], [2457, 3437], [4681, 9382], [2522, 4586], [2804, 7682], [4361, 7714], [4956, 11307], [1537, 10607], [2678, 9263], [1654, 4776], [3481, 7143], [1053, 10036], [4971, 5953], [1079, 9005], [2703, 3843], [5039, 10029], [1030, 6080], [1589, 7764], [529, 7784], [10880, 11027], [5532, 7683], [4386, 6431], [1321, 5505], [2635, 8031], [9173, 10647], [2609, 6810], [3753, 4983], [2419, 10850], [4251, 9397], [201, 4693], [3843, 11292], [1265, 4792], [8285, 8680], [4682, 9583], [5451, 7879], [1903, 4325], [8971, 10139], [667, 7317], [5760, 9388], [1567, 2878], [2181, 4269], [5611, 9265], [3553, 10937], [6812, 7972], [2020, 2631], [4141, 11107], [4387, 8130], [2116, 2339], [7475, 9979], [5847, 11235], [4205, 5615], [4100, 8073], [3945, 11168], [2106, 5034], [990, 8128], [7065, 8768], [6187, 8270], [8019, 10981], [3373, 11127], [489, 6799], [5057, 6770], [2758, 9511], [8573, 11540], [4154, 8659], [986, 10988], [7008, 10112], [716, 2267], [6577, 11057], [3611, 10891], [7162, 7546], [4954, 10405], [9743, 10530], [9003, 10720], [5846, 6822], [4170, 9542], [2639, 3561], [1274, 3699], [2227, 2304], [6192, 10842], [3549, 9609], [5256, 6956], [393, 9319], [9455, 11002], [4290, 4359], [3848, 4014], [3813, 7211], [5031, 7777], [3472, 11082], [74, 4089], [3219, 6472], [4590, 10286], [3188, 4907], [3277, 10614], [51, 133], [6867, 10607], [4768, 5862], [8534, 10807], [1166, 3203], [9216, 10612], [6728, 7038], [2626, 6308], [2939, 4553], [6147, 10668], [7217, 10612], [36, 5086], [2895, 11047], [4759, 5345], [4760, 8953], [826, 5363], [5807, 7193], [22, 7258], [2381, 8732], [5242, 11356], [39, 10645], [448, 2936], [7976, 11172], [4984, 9785], [1353, 10892], [686, 5733], [629, 5199], [6350, 6839], [7193, 8282], [4706, 7562], [1347, 11077], [3138, 6617], [8308, 11352], [935, 5656], [2211, 3194], [3752, 4975], [8890, 10172], [6154, 6496], [338, 8002], [4567, 7753], [6239, 8297], [7204, 11423], [2060, 5657], [1201, 3681], [6154, 9879], [2474, 3954], [3753, 8179], [5143, 9791], [6331, 8236], [3481, 9184], [4088, 7876], [4231, 7430], [2920, 4421], [2271, 6227], [89, 10307], [1734, 6022], [1933, 9615], [1713, 5145], [4574, 7769], [954, 2649], [6127, 11065], [4100, 7886], [4289, 10791], [2667, 3194], [10755, 11087], [8898, 10763], [1054, 9646], [278, 3009], [4841, 9052], [2353, 4724], [4046, 4617], [3949, 11100], [336, 7151], [6406, 9699], [3691, 6146], [6401, 8601], [1050, 5740], [540, 3948], [1539, 5904], [8949, 9947], [50, 9948], [4714, 9627], [8409, 9444], [7998, 8412], [4080, 6079], [7450, 10270], [6832, 11389], [1287, 5279], [163, 10764], [4678, 4685], [2522, 5822], [6166, 9084], [882, 7445], [5008, 6317], [469, 5586], [718, 8542], [2363, 5011], [2550, 11253], [4162, 4576], [3818, 4766], [2680, 3375], [4331, 10212], [7220, 7714], [4072, 5033], [1054, 8841], [2671, 3262], [48, 2681], [3752, 6748], [448, 9970], [2155, 3153], [8722, 9917], [5494, 6533], [5919, 11435], [3622, 4423], [2255, 3734], [5362, 9797], [5427, 7940], [9059, 10441], [3613, 9972], [605, 10304], [3802, 6461], [4136, 5583], [9309, 9835], [6195, 7519], [1644, 4519], [4797, 10927], [153, 6238], [11078, 11443], [5075, 10871], [5195, 10973], [273, 1055], [4475, 8782], [4757, 7714], [3723, 7457], [1747, 11413], [5577, 7483], [4367, 10942], [5079, 6452], [3054, 4100], [443, 8040], [5541, 10455], [6350, 6652], [5226, 9131], [3312, 8273], [220, 9688], [194, 8467], [1402, 4181], [6446, 9743], [431, 7656], [1016, 4145], [33, 6829], [1363, 7636], [716, 3853], [8582, 8701], [6505, 10323], [2570, 10295], [3848, 5250], [1167, 7697], [1736, 10069], [9950, 9965], [2132, 3653], [2942, 9120], [669, 6666], [7957, 9780], [1486, 2724], [5428, 6205], [2575, 7606], [8600, 10411], [6335, 8572], [8797, 10925], [4119, 6652], [7011, 10841], [977, 3786], [82, 7071], [2188, 10351], [7198, 10667], [8844, 9990], [97, 963], [2428, 6805], [2865, 3396], [5084, 5991], [543, 10849], [6575, 8409], [3058, 10584], [5138, 6227], [6067, 8942], [6235, 10970], [6411, 7254], [9556, 9637], [4053, 8634], [1582, 8447], [3550, 10265], [2975, 7324], [769, 2682], [994, 5244], [3563, 7494], [2195, 10367], [4717, 6355], [4311, 5667], [9820, 9868], [5286, 9481], [1272, 4434], [3280, 4927], [2548, 4978], [6579, 11160], [540, 3761], [760, 1815], [1019, 3207], [8479, 11531], [1636, 9033], [3460, 6965], [662, 8073], [4868, 6874], [7476, 9052], [998, 7241], [8343, 10889], [2001, 4435], [1526, 7360], [812, 8771], [3592, 6303], [5576, 5648], [1648, 2627], [1339, 10917], [3576, 5046], [6201, 11335], [8240, 11141], [5750, 6740], [27, 1267], [935, 10275], [6805, 9005], [3632, 4574], [10724, 10782], [521, 8191], [925, 5800], [713, 8361], [1668, 10045], [6941, 11495], [3287, 7545], [1506, 5553], [3386, 5272], [4036, 6320], [5154, 9688], [8232, 10849], [391, 9249], [5055, 8928], [7300, 9334], [10820, 10840], [2472, 8500], [1596, 8829], [5574, 7049], [6756, 7958], [1348, 4563], [730, 5682], [9687, 9823], [5554, 9780], [2640, 3388], [5666, 10021], [1837, 11143], [5693, 6182], [1092, 3819], [625, 11523], [1654, 5020], [2141, 5138], [2048, 2695], [1490, 3865], [10354, 11225], [837, 5929], [82, 923], [3544, 8086], [4217, 6674], [1911, 8998], [770, 8090], [4789, 7065], [2726, 8393], [1888, 7294], [12, 2032], [3618, 8974], [3444, 7855], [450, 5641], [2412, 6890], [3809, 5509], [2687, 8815], [1314, 4928], [2179, 10102], [1563, 5632], [930, 1555], [5709, 5880], [248, 5133], [4324, 4642], [600, 8968], [7816, 10516], [6689, 9314], [3081, 5709], [1183, 8794], [6780, 8678], [1025, 1792], [3490, 3662], [8312, 11097], [535, 7792], [1149, 9183], [2114, 2887], [1460, 4349], [431, 4436], [1262, 10780], [1883, 2762], [3438, 6131], [10220, 11359], [10699, 10805], [5401, 10988], [1258, 3841], [1388, 9549], [7475, 9068], [1661, 4231], [671, 9908], [8814, 11092], [7346, 9597], [4302, 5768], [3233, 8708], [1185, 11068], [1340, 8727], [10118, 10651], [932, 10622], [987, 11083], [5295, 10161], [4104, 11418], [4223, 6414], [8051, 8073], [4255, 10833], [3171, 11213], [1117, 3959], [1211, 9256], [50, 2808], [4633, 7975], [4910, 6563], [4031, 9627], [5529, 8298], [4906, 9073], [5102, 6733], [7736, 10132], [241, 3507], [3976, 9139], [483, 3040], [8388, 11226], [230, 8229], [2210, 10838], [2251, 6675], [2344, 7620], [3180, 7892], [2053, 6690], [3584, 5501], [5574, 11050], [5383, 8072], [787, 10217], [7010, 7345], [3174, 6542], [3800, 9448], [5291, 5450], [8184, 10241], [3227, 6553], [8767, 10067], [5369, 10244], [5909, 7714], [1263, 5608], [9948, 11505], [8441, 10836], [3096, 11173], [3208, 4998], [687, 5448], [2994, 6732], [2244, 5480], [4716, 9275], [659, 9816], [7226, 10918], [999, 4222], [1246, 10515], [1676, 10099], [8718, 9774], [6882, 10327], [2837, 3715], [4571, 11553], [2931, 9012], [10980, 11315], [10146, 11089], [6999, 7879], [1987, 4484], [4232, 9054], [1543, 6722], [2451, 9314], [1947, 11501], [2858, 11358], [6748, 7479], [3751, 5748], [4938, 7001], [2825, 8966], [3666, 9582], [2749, 9910], [1761, 11496], [1541, 3616], [450, 2071], [7483, 10328], [3371, 8910], [2163, 2616], [6744, 6956], [9220, 9769], [2036, 11142], [7196, 8019], [5771, 9604], [2595, 6410], [3488, 7216], [2061, 5722], [1588, 3058], [3205, 10311], [2620, 7406], [5918, 6621], [2905, 3603], [1129, 9125], [1642, 3294], [2336, 11030], [4788, 8531], [6790, 9933], [2198, 4680], [4606, 6770], [624, 10306], [6740, 9065], [5001, 9928], [1789, 6323], [3499, 9603], [5236, 9044], [3622, 5472], [3214, 3957], [4015, 5174], [4858, 6617], [8347, 8810], [2342, 7411], [1932, 9233], [872, 9253], [1997, 7376], [92, 5880], [1186, 11106], [997, 1785], [1253, 5912], [1160, 3469], [7806, 8836], [549, 871], [1766, 10634], [4598, 7602], [828, 3669], [924, 9793], [1330, 4065], [4698, 8183], [7093, 10068], [1133, 6934], [1735, 5282], [2827, 10435], [6430, 7280], [3155, 8988], [3714, 10672], [512, 7755], [5456, 9703], [6168, 8219], [4332, 6520], [39, 8474], [6670, 7117], [7573, 8611], [2750, 8121], [4735, 6910], [3183, 4970], [8931, 11439], [1873, 11231], [2336, 6037], [6787, 11085], [2081, 5518], [6528, 6660], [216, 3798], [5376, 7845], [1021, 8921], [7082, 7219], [2543, 6488], [2018, 7798], [8863, 10342], [7027, 10895], [1170, 9394], [5060, 5515], [4256, 10416], [6830, 7348], [4834, 9898], [3373, 9574], [8065, 11301], [1289, 10025], [5124, 6439], [938, 2628], [8575, 10060], [1565, 9142], [4638, 9205], [997, 9624], [2717, 11340], [3090, 10390], [2586, 6161], [7689, 8920], [722, 4666], [5820, 7081], [527, 7608], [2736, 6105], [809, 878], [1139, 2510], [1900, 11468], [1583, 9317], [3068, 7783], [11077, 11411], [492, 8526], [547, 8233], [10355, 11426], [238, 3691], [4842, 9735], [4491, 8754], [1390, 6643], [1008, 10513], [2038, 6864], [7573, 10034], [8920, 9290], [2721, 4642], [1974, 2907], [1408, 4216], [5076, 8626], [4269, 6840], [3611, 11566], [5175, 6353], [472, 5965], [3211, 7660], [9312, 9521], [7745, 11430], [9467, 9809], [2614, 6623], [1989, 10735], [2145, 11248], [738, 1361], [4724, 7770], [150, 10236], [1294, 8409], [3376, 4879], [2908, 3313], [6185, 7313], [5741, 10305], [7057, 7242], [9545, 11570], [1195, 5397], [3748, 10120], [7762, 8751], [9324, 9881], [909, 5565], [941, 7732], [8781, 11359], [6549, 9660], [4026, 9283], [5546, 9433], [68, 5299], [5011, 6645], [160, 8271], [2018, 11449], [7431, 8772], [9389, 9902], [526, 5396], [6881, 8305], [558, 8317], [492, 9949], [857, 1968], [5373, 7411], [1354, 2774], [176, 4236], [5742, 8971], [1485, 4920], [3871, 10469], [6524, 10138], [2385, 6116], [3927, 5116], [6079, 9495], [1874, 7132], [3221, 10552], [4403, 5045], [8143, 11021], [3240, 4186], [2561, 11445], [1025, 9257], [1582, 10114], [909, 5110], [4792, 10640], [3917, 10413], [271, 3318], [6000, 9737], [2974, 3104], [7393, 8614], [10918, 11218], [1818, 6799], [6742, 7341], [197, 8472], [3629, 10131], [2043, 2945], [8142, 10395], [2827, 9443], [764, 10771], [4081, 4778], [1725, 2821], [1042, 3545], [1967, 2354], [4026, 10706], [6321, 8223], [1687, 3468], [1002, 3365], [4980, 6503], [1119, 3950], [6604, 7757], [2524, 11512], [3142, 3977], [7591, 8198], [128, 10156], [8125, 11515], [1026, 4890], [4171, 7273], [2757, 6795], [2545, 8602], [9823, 11028], [251, 8277], [96, 10618], [10354, 10664], [495, 2221], [6737, 9225], [6222, 7813], [1585, 9957], [1015, 9612], [5502, 8655], [8361, 10452], [109, 1404], [3249, 3443], [296, 7646], [2725, 7607], [3551, 7191], [538, 7179], [3088, 5969], [4207, 5775], [3931, 10795], [4019, 6478], [7038, 9688], [319, 9700], [816, 3336], [9100, 11141], [2454, 5050], [6261, 9996], [7536, 7686], [4576, 10718], [1491, 1970], [1931, 6406], [998, 8453], [1077, 7056], [1488, 5836], [593, 4203], [1369, 4424], [2479, 3767], [10018, 10664], [3289, 9234], [1056, 6179], [4968, 10195], [855, 1759], [400, 4562], [7177, 8692], [1800, 6862], [1542, 6072], [957, 3167], [7415, 11489], [9641, 11091], [2883, 4759], [3468, 7664], [5618, 8964], [1002, 1405], [6889, 9164], [757, 5738], [9227, 9761], [171, 11276], [3296, 5867], [3650, 6365], [3958, 4266], [4773, 10077], [5076, 7634], [3422, 7669], [8468, 9894], [712, 5214], [1644, 5194], [6219, 6336], [3763, 7181], [2617, 5929], [807, 5451], [2431, 2541], [1586, 5189], [8805, 9664], [2924, 10021], [33, 5276], [2889, 7556], [7154, 9216], [6459, 8425], [4189, 6242], [677, 8761], [5808, 7152], [820, 8315], [305, 487], [3725, 11211], [3751, 10180], [3227, 10180], [2697, 7736], [7053, 9514], [1819, 7238], [5360, 9621], [1404, 2300], [4805, 8810], [2842, 7336], [4304, 10514], [2396, 9501], [226, 3762], [4833, 7071], [1280, 3173], [4884, 10042], [7778, 8642], [5843, 6183], [6307, 11013], [6568, 9068], [9271, 10352], [1733, 7063], [453, 2613], [1959, 6063], [1360, 11396], [6179, 8734], [265, 6699], [4002, 6742], [3281, 6228], [2221, 7002], [2966, 4904], [5116, 8456], [3213, 11197], [5365, 9160], [3617, 5396], [1232, 9117], [5860, 6887], [4609, 10345], [5770, 10377], [2439, 5360], [9906, 9937], [7557, 9181], [685, 1027], [5172, 6486], [7806, 9885], [10209, 10877], [2556, 2912], [4817, 8015], [1213, 10945], [34, 9553], [9046, 11149], [6463, 10721], [21, 2151], [3909, 8025], [7641, 7724], [2288, 4036], [6176, 9910], [2912, 10279], [1231, 8491], [5520, 9047], [9571, 10189], [2653, 5854], [4932, 11506], [4208, 5813], [8456, 10179], [8505, 10394], [7722, 9002], [8190, 9070], [1371, 11130], [7570, 9362], [3, 6833], [4956, 6615], [6255, 8863], [5016, 7420], [3173, 10966], [7502, 7915], [191, 10267], [10120, 11535], [8494, 8700], [5168, 8191], [2492, 10982], [5415, 8068], [310, 8646], [2541, 10874], [5626, 6036], [2200, 10581], [5837, 6256], [300, 761], [4374, 10023], [9348, 10682], [4186, 9972], [5841, 7129], [7021, 11375], [1381, 4247], [6924, 7278], [9376, 9697], [2409, 4689], [979, 10094], [2009, 7199], [970, 5844], [4213, 5352], [4925, 7278], [523, 2122], [877, 2620], [6448, 7699], [5613, 11035], [2580, 8893], [8782, 11560], [998, 10494], [7968, 8603], [10232, 10971], [120, 10750], [1185, 3904], [3516, 9746], [8358, 8788], [1730, 7410], [1203, 10899], [711, 8185], [8732, 10692], [5031, 10306], [4318, 8155], [4694, 10886], [6802, 8577], [5812, 7838], [2531, 8600], [5806, 7269], [608, 7656], [3498, 8766], [5979, 11169], [3023, 5275], [165, 7086], [406, 3011], [9186, 11397], [509, 10279], [1834, 4326], [7838, 8506], [3335, 7432], [1243, 3858], [2576, 11352], [2235, 8807], [3690, 4398], [2858, 4999], [7302, 8876], [3162, 5410], [2475, 4480], [3836, 7606], [3464, 11410], [2944, 9654], [637, 1954], [1165, 4325], [5518, 6586], [1502, 7128], [612, 10003], [9220, 9826], [4003, 9409], [10097, 10099], [515, 10070], [3965, 6673], [4836, 9383], [244, 4130], [7012, 11150], [42, 7379], [8187, 9390], [2985, 5117], [2670, 10209], [3694, 4116], [4636, 4784], [2081, 10568], [2638, 5009], [652, 8247], [6275, 7100], [2455, 5302], [1895, 4147], [2608, 9681], [4000, 7956], [5901, 7798], [6966, 8122], [3752, 7854], [2157, 11502], [3354, 7027], [3693, 10657], [1824, 8818], [10274, 11465], [2381, 7423], [9781, 11532], [6979, 9488], [5867, 9318], [6292, 7804], [528, 9500], [6047, 7973], [496, 9962], [9501, 11111], [1559, 7207], [5951, 10894], [652, 4059], [4576, 10344], [5224, 11319], [8995, 10192], [4656, 5385], [8869, 11019], [8122, 10038], [180, 8386], [3506, 6643], [3820, 8496], [1889, 2773], [550, 10548], [9602, 11543], [447, 9669], [1567, 7448], [4985, 10929], [4780, 7491], [2693, 4261], [3803, 10020], [5614, 11100], [3682, 5529], [3522, 7526], [8105, 8529], [6539, 10663], [9648, 10383], [6232, 6948], [3577, 10616], [4614, 8892], [70, 7817], [2993, 4903], [1016, 5251], [8868, 10393], [327, 1242], [8891, 11316], [4168, 8024], [6774, 9375], [1136, 3074], [6120, 8585], [1457, 5344], [3229, 7250], [4159, 7157], [4064, 8051], [2995, 10237], [3000, 11335], [1792, 11457], [696, 3152], [6637, 7010], [4398, 6392], [3030, 6259], [11033, 11570], [8380, 9649], [7345, 11419], [4329, 5474], [6849, 7805], [4196, 5884], [10933, 11339], [7321, 10244], [5855, 9576], [2861, 7362], [2797, 9821], [5186, 6973], [3565, 8646], [3651, 7666], [7984, 8494], [3340, 9467], [43, 1028], [165, 2711], [5679, 7256], [6054, 6379], [8874, 9002], [1005, 3102], [3861, 5382], [502, 2481], [2052, 7758], [3027, 11572], [8032, 11544], [90, 9892], [3959, 11552], [163, 8650], [2840, 8713], [1553, 10262], [2463, 6511], [6150, 8719], [4388, 5249], [2912, 3139], [6473, 7652], [7722, 9783], [313, 8594], [8328, 11313], [7219, 9162], [4411, 9582], [5290, 6518], [2599, 8277], [7645, 11256], [3849, 7600], [5750, 8196], [4988, 5429], [3884, 10038], [3540, 10228], [2248, 4263], [665, 3010], [6865, 10512], [1437, 1577], [1039, 11330], [1562, 6187], [256, 7686], [2553, 8282], [3686, 6266], [1067, 3175], [2273, 9396], [1130, 7661], [6727, 7545], [8129, 10672], [7793, 10723], [7975, 10205], [3303, 9130], [841, 10941], [399, 3426], [6909, 10410], [2733, 7287], [3158, 5773], [955, 11228], [3043, 5234], [2723, 5818], [1083, 7441], [1267, 10002], [5281, 8633], [9348, 10308], [2011, 10685], [3403, 8960], [6297, 7560], [579, 8847], [2164, 5265], [4032, 9131], [353, 6814], [7204, 9927], [5606, 6888], [8558, 8876], [561, 1101], [7594, 9358], [6828, 10579], [5766, 7520], [3543, 5183], [5922, 8033], [2462, 4326], [3150, 8864], [2235, 5855], [27, 10212], [1589, 11342], [3389, 4716], [2893, 6764], [5596, 8802], [128, 4602], [4416, 11349], [2945, 3921], [362, 9909], [2913, 5137], [3501, 5307], [3444, 4773], [419, 994], [859, 7682], [761, 4141], [1793, 8489], [2132, 7955], [4996, 7844], [2224, 4511], [2841, 3167], [1096, 3838], [2276, 10336], [1185, 8791], [9903, 10664], [5137, 6544], [3986, 4948], [3650, 11415], [3712, 5877], [4946, 6976], [1595, 3936], [3799, 8505], [2328, 7493], [7591, 8255], [10011, 11136], [2731, 7883], [902, 3191], [9823, 11085], [6225, 8168], [1949, 7847], [1959, 8535], [2668, 6780], [1828, 9772], [3103, 6708], [2578, 8018], [155, 4839], [6034, 8573], [3868, 6016], [3400, 3696], [8606, 10340], [1763, 5590], [4225, 4533], [5116, 10928], [1167, 11194], [10597, 10829], [2190, 11292], [1655, 7750], [4955, 7038], [5964, 9682], [5393, 10647], [446, 7647], [5549, 11160], [5821, 9404], [8498, 9467], [2376, 6729], [7479, 10242], [9380, 10084], [9468, 9931], [2338, 3993], [9192, 10787], [117, 948], [736, 7601], [6852, 10494], [6847, 10150], [1147, 2217], [7313, 9391], [1466, 10830], [6520, 7311], [5527, 8553], [3541, 6129], [1820, 4188], [3106, 9584], [11, 902], [2657, 5816], [353, 10465], [5251, 10540], [7359, 8231], [7486, 10258], [4910, 10247], [7140, 8867], [5402, 10709], [1732, 5472], [2532, 10251], [512, 1827], [10375, 11143], [7564, 8636], [1564, 6827], [7732, 9910], [6677, 11028], [9977, 10316], [1414, 3850], [4299, 11032], [321, 1478], [7791, 10490], [7789, 8165], [6161, 8667], [4540, 6930], [6752, 9108], [398, 6801], [7223, 8693], [9642, 10218], [1431, 7587], [149, 9480], [4225, 8989], [680, 9116], [5501, 6527], [6184, 6557], [10132, 10984], [5254, 5869], [5495, 8964], [832, 3471], [1771, 7628], [5183, 7157], [8323, 9196], [2376, 11185], [8611, 9828], [5488, 8924], [445, 6216], [1198, 11149], [8626, 10136], [1868, 3804], [3474, 10868], [138, 4753], [2932, 6155], [2469, 8343], [315, 10307], [913, 4749], [4822, 5838], [5771, 7677], [6048, 10429], [2643, 9435], [1777, 10452], [4788, 9637], [9428, 11174], [4268, 7881], [4235, 5489], [2234, 7695], [5570, 7394], [2232, 11032], [9928, 9999], [3259, 8620], [215, 7043], [278, 4359], [7704, 9689], [6026, 10828], [7055, 9243], [1800, 8342], [3125, 8805], [8491, 11200], [614, 3527], [4442, 9350], [7239, 8017], [7645, 9459], [8421, 8926], [324, 10369], [1506, 4862], [5434, 7883], [4313, 10633], [4437, 5973], [7207, 9233], [2217, 3153], [6537, 9438], [2533, 5079], [6196, 9145], [74, 6407], [480, 1433], [3773, 10130], [1034, 2773], [4590, 6188], [4208, 10058], [3730, 7050], [906, 9189], [2957, 6346], [6472, 7508], [7442, 10978], [4584, 5619], [224, 7105], [2581, 7752], [10113, 11226], [163, 2665], [7527, 10527], [10051, 10348], [3507, 7917], [2705, 6475], [8152, 9798], [614, 5755], [3513, 8863], [736, 5186], [7766, 9762], [4089, 7518], [8851, 10738], [2015, 9411], [5528, 9746], [9327, 10667], [1631, 6038], [46, 9620], [3121, 4848], [791, 1860], [7210, 8726], [1850, 10283], [3073, 11193], [971, 6931], [2370, 6377], [2471, 6429], [1783, 2645], [2352, 9181], [2311, 2764], [1378, 4811], [1500, 3488], [8571, 8819], [563, 8799], [3401, 7467], [4855, 6620], [6324, 10969], [8507, 10497], [7874, 9830], [3335, 9099], [4137, 10541], [3822, 9217], [8654, 10924], [3955, 8026], [5476, 6149], [940, 11351], [4627, 6389], [243, 7481], [4138, 10362], [6896, 9101], [9294, 10503], [2787, 7954], [9643, 10657], [4447, 4701], [1258, 6183], [10915, 11459], [3405, 3802], [3783, 8858], [3284, 4973], [5400, 9695], [760, 1742], [2900, 8016], [1076, 3668], [8791, 9101], [1105, 2154], [2908, 6379], [8570, 10822], [2524, 9422], [1806, 6173], [1437, 11002], [6141, 7828], [281, 2646], [3775, 5183], [124, 10576], [3142, 5270], [2901, 8591], [7247, 9681], [36, 2061], [3367, 7832], [5476, 8377], [1778, 8262], [1358, 8642], [5475, 11158], [9459, 11078], [56, 6850], [5214, 9316], [10174, 10269], [5411, 10584], [521, 8118], [3501, 5738], [8664, 9302], [7674, 8563], [9129, 10570], [3248, 10927], [3090, 3925], [473, 1661], [2057, 5768], [3932, 11559], [6045, 9594], [3677, 10286], [631, 1466], [4767, 5944], [7077, 10909], [6979, 8122], [7003, 8516], [7318, 7588], [3488, 5102], [833, 8770], [6703, 8224], [6404, 7433], [5196, 5303], [7090, 10390], [999, 7719], [4827, 9378], [2141, 11481], [6778, 9337], [1344, 10383], [2961, 11220], [551, 2641], [872, 11327], [4071, 4147], [8833, 10777], [3141, 3459], [4562, 10800], [2640, 10081], [7048, 7885], [828, 8776], [8023, 8693], [769, 7415], [8733, 10546], [5092, 10965], [7210, 9344], [8894, 11403], [3657, 5446], [2444, 2972], [4178, 10810], [7574, 10560], [1965, 9161], [5867, 6797], [2875, 5410], [6949, 10508], [2908, 11185], [10406, 10911], [74, 6220], [4730, 8290], [1182, 4736], [528, 10362], [7006, 8009], [3952, 5744], [1690, 6832], [1098, 9926], [255, 2067], [9962, 10870], [848, 2581], [7257, 8759], [7307, 8122], [738, 4695], [32, 2961], [301, 7323], [8649, 10417], [5782, 7224], [8151, 9386], [1642, 10174], [4840, 5021], [3560, 7741], [6450, 8851], [6463, 7558], [4066, 9764], [4159, 5791], [5243, 10329], [175, 9254], [1248, 8715], [317, 11589], [4023, 9313], [164, 1925], [7049, 10284], [10619, 11153], [6512, 10079], [7966, 9232], [5318, 7655], [7198, 7374], [7155, 10710], [1155, 9655], [3364, 7398], [2545, 10513], [7407, 10931], [1469, 10754], [5129, 8133], [3582, 8789], [3264, 3784], [60, 10620], [2386, 9702], [655, 1381], [896, 4476], [23, 5076], [7748, 8191], [2053, 7772], [5007, 6423], [5434, 5736], [1423, 7376], [699, 7345], [7302, 10356], [2942, 4672], [2422, 9332], [2596, 4035], [4404, 7850], [827, 5810], [9786, 10778], [3385, 8625], [8643, 9043], [3662, 7213], [4004, 10360], [363, 4363], [8148, 8283], [6116, 8924], [8196, 10983], [6332, 7236], [384, 2207], [917, 9086], [4358, 7855], [5920, 8231], [4079, 8440], [8573, 10906], [1715, 6622], [101, 3804], [1040, 7207], [5486, 5495], [200, 9445], [9130, 9511], [7531, 9253], [4857, 8707], [2331, 5807], [6905, 8976], [778, 5894], [1652, 2486], [3479, 7105], [4855, 9011], [4315, 5125], [8734, 10635], [8546, 11338], [2140, 2425], [1599, 7736], [3155, 8297], [4285, 9016], [2410, 3225], [3120, 5078], [2903, 7295], [4527, 8549], [1464, 2034], [3673, 6947], [2214, 7450], [5646, 9109], [3929, 11074], [684, 5077], [10642, 11247], [5791, 8709], [216, 6140], [4507, 7523], [2702, 3225], [6057, 6384], [5781, 11404], [327, 6910], [891, 8938], [2262, 6336], [7427, 10727], [491, 5032], [422, 9399], [47, 8024], [4757, 10300], [705, 3271], [6271, 8006], [1718, 8343], [2841, 5639], [8228, 8911], [3214, 11105], [5521, 5973], [1722, 9216], [2966, 4587], [3768, 6029], [7420, 9906], [2187, 10484], [2, 10883], [3529, 9396], [1192, 9401], [7190, 10383], [4301, 5711], [6761, 7237], [4478, 11265], [4889, 5881], [752, 8348], [6217, 6615], [6235, 11328], [4076, 6532], [4260, 9093], [1373, 5248], [2264, 5227], [187, 433], [10360, 10729], [1272, 1409], [4172, 9623], [4566, 7298], [2919, 10002], [328, 2543], [4524, 7072], [2884, 5285], [950, 2297], [8546, 9728], [1889, 3448], [3809, 10510], [3227, 4870], [667, 6146], [3647, 3766], [7886, 10621], [4586, 11333], [6862, 11052], [2194, 7467], [3503, 3987], [93, 6059], [4676, 7062], [3184, 11589], [261, 1671], [476, 5797], [6177, 10168], [5955, 11287], [2053, 7235], [5511, 7863], [91, 2199], [3241, 4926], [837, 3709], [4740, 11369], [370, 11413], [991, 1143], [2362, 4957], [182, 5700], [2549, 11199], [3473, 7154], [6906, 10169], [2978, 6394], [361, 10546], [4905, 5959], [4189, 6543], [7361, 10749], [3655, 10019], [1356, 8596], [2109, 7113], [1820, 7010], [377, 1630], [6739, 7962], [3468, 10543], [2240, 2873], [5481, 11380], [5488, 6135], [3268, 3315], [2887, 3623], [4941, 7844], [483, 8041], [6895, 7320], [761, 7231], [10640, 11388], [2356, 4337], [3601, 8978], [6545, 6941], [2761, 7806], [4869, 5497], [3506, 5708], [7057, 8779], [3352, 5241], [225, 9853], [820, 4778], [9006, 9042], [4582, 5817], [2273, 10876], [3220, 5472], [1030, 5527], [8841, 10668], [649, 5835], [3233, 9871], [5822, 10087], [6691, 10499], [6567, 8743], [2981, 8869], [1210, 7565], [3481, 6940], [8269, 10627], [7548, 8615], [1605, 8094], [2260, 3070], [1797, 1848], [3506, 11319], [6278, 8990], [784, 933], [45, 10393], [8316, 10823], [2567, 7135], [4084, 10020], [1154, 3095], [2988, 8885], [9130, 10747], [914, 10024], [782, 1237], [436, 600], [1781, 3193], [1877, 2901], [10557, 10706], [1371, 11431], [230, 6359], [7441, 7563], [5814, 6038], [8492, 8955], [8218, 10638], [5606, 8718], [6263, 6773], [179, 9053], [4380, 6756], [395, 7365], [2666, 6740], [4875, 10899], [3385, 5673], [5873, 10001], [4978, 8368], [5850, 8297], [636, 6673], [4477, 7039], [1129, 10743], [6806, 9802], [5080, 8271], [2874, 7039], [190, 5805], [3464, 3872], [4456, 11073], [1686, 8567], [5206, 10073], [6812, 9997], [3804, 10329], [468, 4968], [7312, 10320], [1899, 6581], [3480, 11171], [3951, 6592], [3235, 11340], [7407, 10557], [612, 10759], [1424, 6473], [4753, 9165], [736, 10236], [2539, 9543], [7269, 7590], [736, 3820], [2785, 6566], [3253, 8132], [2511, 5243], [541, 2598], [6177, 8826], [9038, 9198], [1068, 5498], [1670, 3846], [1719, 10154], [7080, 11451], [1192, 4221], [8096, 10378], [2710, 10714], [3952, 10176], [6916, 9515], [624, 8086], [4886, 6819], [679, 2131], [1577, 3281], [2464, 10658], [3447, 7974], [1523, 6428], [831, 5154], [2673, 8553], [580, 11170], [2075, 10324], [3343, 10253], [6983, 10363], [2726, 8564], [2848, 9493], [2158, 9046], [1452, 8066], [1825, 6362], [6513, 11353], [8970, 9198], [503, 8856], [2471, 10674], [405, 1905], [196, 8147], [6729, 9665], [2123, 6958], [4146, 8483], [1154, 7096], [5051, 5142], [526, 3363], [1224, 8589], [8963, 9158], [246, 10893], [5540, 10968], [146, 863], [241, 7516], [5931, 7591], [709, 2666], [6686, 9187], [2849, 9694], [5245, 9515], [83, 3143], [2046, 4617], [8114, 10502], [9630, 10533], [1694, 9827], [4994, 9115], [6556, 10245], [4562, 7206], [8483, 9810], [1439, 9308], [728, 7230], [8081, 11493], [533, 6762], [2243, 3626], [3373, 8509], [3777, 6872], [7044, 10184], [9656, 9852], [2920, 7251], [1125, 1389], [7132, 9250], [6499, 9337], [6812, 7582], [3269, 10788], [7777, 9954], [2233, 3288], [7308, 10415], [8514, 10220], [4190, 10609], [962, 6471], [5060, 9711], [3318, 7647], [422, 8220], [1976, 2319], [6616, 10272], [2786, 10038], [797, 927], [7736, 10303], [6146, 7879], [4186, 10086], [3835, 9105], [7083, 8203], [760, 8215], [8702, 9867], [1474, 6804], [8361, 9574], [2592, 10172], [4328, 6005], [317, 1229], [1509, 6990], [576, 9037], [5581, 9009], [2496, 7431], [4059, 11415], [809, 11490], [167, 881], [6849, 8911], [5194, 5338], [3363, 10399], [531, 2097], [3514, 10568], [1117, 6358], [6621, 9461], [6041, 6900], [2075, 7559], [120, 4448], [1142, 7354], [7031, 11022], [4257, 11026], [2760, 11045], [3565, 9752], [7297, 9451], [1827, 4424], [2262, 10768], [9791, 10561], [9507, 10802], [5154, 6289], [952, 4197], [2529, 5635], [4081, 5323], [3841, 5836], [6826, 10216], [4460, 7571], [4114, 6934], [2531, 5681], [7629, 8096], [2555, 3823], [7381, 7994], [5266, 9132], [5075, 10318], [6472, 8183], [6002, 9954], [3233, 3886], [2923, 5158], [7090, 10447], [8874, 10458], [3914, 6499], [1742, 7103], [4137, 8988], [8063, 11182], [4073, 11447], [369, 964], [3166, 8299], [3393, 4518], [582, 2011], [3515, 6201], [1895, 5066], [398, 9249], [4823, 8912], [515, 9834], [427, 7735], [4028, 10923], [5161, 8907], [2127, 7294], [1411, 7878], [2152, 9044], [590, 1498], [6206, 9703], [874, 11056], [1025, 4809], [4421, 10975], [2936, 6093], [2370, 7402], [190, 975], [1776, 6663], [2866, 7983], [5913, 9077], [2921, 7690], [9772, 10803], [7123, 9001], [2950, 9559], [7399, 8118], [1950, 3968], [2845, 5601], [2478, 4087], [1387, 5548], [1788, 10056], [10315, 10449], [1380, 8541], [4274, 6387], [107, 1098], [4585, 10975], [2131, 10395], [6169, 7168], [2935, 11129], [6261, 9386], [1419, 11098], [7725, 9227], [160, 1863], [3991, 7203], [543, 847], [5890, 11136], [7125, 8673], [2452, 4744], [1405, 9887], [836, 1099], [1585, 8542], [4601, 8825], [2987, 5253], [303, 4019], [1084, 4584], [6877, 7790], [4444, 8087], [710, 8315], [1763, 10534], [1608, 9465], [980, 3480], [3848, 7275], [1953, 10631], [4229, 9596], [7118, 7852], [5650, 6357], [863, 5524], [978, 10200], [6729, 7518], [4578, 6747], [7423, 8838], [226, 924], [3406, 9909], [2059, 6489], [1780, 4822], [4918, 6034], [10432, 10579], [1146, 7690], [10280, 10939], [9270, 11076], [128, 4903], [1680, 4591], [1339, 4298], [8279, 10112], [8611, 9161], [7272, 7514], [2421, 11392], [6927, 10485], [7271, 10295], [11171, 11268], [1046, 4426], [490, 6423], [710, 10893], [9695, 9912], [1849, 8722], [698, 2962], [517, 4082], [3287, 7342], [68, 6730], [2722, 11505], [6213, 8109], [8952, 9804], [2221, 7547], [3436, 7815], [1127, 5704], [1939, 5582], [1412, 8317], [223, 10401], [2112, 9482], [3330, 10048], [1836, 7332], [2479, 7963], [374, 1121], [8594, 10631], [5261, 8951], [5416, 6610], [3606, 5378], [6092, 8879], [1114, 4314], [7299, 11538], [396, 8235], [4038, 5008], [3995, 8344], [9975, 11376], [4964, 11589], [723, 3153], [2384, 7672], [8349, 10426], [7939, 8084], [6411, 10702], [1903, 4366], [4826, 8622], [2000, 7682], [930, 7768], [2795, 5701], [683, 10520], [188, 9760], [2831, 4577], [3268, 5332], [3760, 5040], [1201, 9170], [2539, 10592], [797, 1358], [852, 1819], [789, 7132], [2155, 10602], [1878, 5598], [6733, 9009], [1134, 8298], [845, 8195], [5113, 7874], [1899, 9858], [7475, 8865], [3211, 10059], [1814, 5024], [5893, 10466], [4551, 5138], [3266, 3350], [2211, 7878], [4353, 5153], [2522, 6050], [3182, 7786], [806, 4453], [2055, 7338], [1581, 4449], [2329, 9038], [8368, 10021], [5369, 7463], [7151, 10057], [7794, 10688], [2783, 10147], [3720, 11225], [544, 7277], [7450, 9343], [2632, 6945], [5644, 9738], [133, 4710], [842, 2955], [728, 6051], [1189, 7200], [717, 8144], [8435, 10088], [2368, 7811], [3059, 8860], [3321, 6416], [2890, 9613], [8405, 9098], [3262, 8438], [1017, 1616], [3291, 6924], [7401, 10181], [6685, 10011], [6778, 6792], [4562, 4872], [931, 5979], [1943, 8197], [1664, 9536], [5559, 10165], [9208, 10361], [7075, 10196], [8575, 9694], [10257, 10926], [1130, 2432], [1389, 10240], [955, 7504], [7507, 9072], [4654, 11227], [3054, 7361], [2524, 11333], [1792, 11384], [6006, 10103], [6045, 9277], [2093, 5862], [9565, 10783], [5640, 11443], [2085, 10882], [6603, 11490], [4139, 7556], [6205, 10663], [1429, 2849], [969, 7560], [816, 4312], [1554, 4049], [8439, 10156], [2603, 9532], [8986, 10325], [5567, 8871], [741, 2448], [1957, 8603], [7645, 8605], [173, 6313], [197, 10871], [329, 6826], [3746, 7453], [2199, 5103], [3257, 4256], [3100, 4272], [4805, 7208], [6047, 8168], [441, 10450], [6234, 7994], [5888, 7357], [1533, 8433], [5700, 8060], [385, 11272], [4976, 11412], [1643, 3316], [2028, 3127], [8712, 11230], [9770, 10383], [3261, 7007], [253, 11503], [5969, 6383], [1239, 1920], [8407, 9813], [4572, 6983], [341, 4153], [702, 7350], [332, 6319], [5782, 6907], [2193, 3352], [8046, 11527], [2041, 3712], [822, 2921], [7575, 8909], [5426, 8965], [8452, 9182], [5368, 8206], [1058, 9055], [6691, 8596], [7976, 9603], [4208, 8749], [6281, 9637], [3201, 5397], [4238, 10089], [3579, 11207], [5855, 10926], [370, 4867], [7283, 8858], [2825, 6803], [2026, 4878], [646, 10400], [5094, 8734], [4646, 7820], [5031, 7631], [4716, 6307], [3222, 10007], [1694, 2045], [2745, 10607], [4307, 10983], [3185, 10879], [666, 11402], [4991, 7451], [5359, 10321], [4201, 9806], [1403, 10914], [4672, 8637], [2807, 8452], [436, 5463], [587, 5632], [2806, 11233], [7526, 7838], [6849, 8350], [966, 5628], [7868, 10958], [2235, 9165], [3038, 7045], [610, 9938], [7924, 11267], [4342, 8883], [2162, 3210], [2051, 5823], [1822, 9935], [2808, 7522], [918, 11222], [10629, 11099], [4371, 10752], [5059, 8874], [4123, 4988], [6077, 8628], [3316, 8837], [4149, 9592], [3213, 4952], [1372, 5161], [2217, 3267], [2092, 7702], [1023, 4226], [2684, 8745], [1208, 7389], [5098, 9926], [3052, 7451], [9027, 10139], [180, 6166], [488, 4067], [4379, 7960], [3601, 11076], [9583, 11525], [4215, 6805], [522, 6280], [9383, 9959], [1477, 8718], [6313, 7161], [5809, 5938], [3262, 10829], [7701, 7946], [2004, 10864], [695, 1512], [6271, 7689], [2009, 4792], [1787, 5911], [1541, 3226], [1631, 9535], [5294, 6431], [5581, 9871], [2375, 10218], [808, 2328], [2210, 5455], [3330, 5486], [7601, 11098], [4702, 5738], [5724, 9398], [9491, 10781], [8183, 11453], [6686, 11472], [4786, 8068], [736, 7528], [10326, 11582], [462, 8457], [2829, 7540], [2643, 11322], [78, 5084], [3510, 10907], [2574, 7021], [5846, 10677], [1044, 11064], [6087, 7356], [5937, 10795], [6123, 7013], [509, 1106], [8609, 10514], [1005, 8103], [10189, 11469], [8072, 9528], [412, 10972], [6726, 7464], [7097, 9097], [3654, 3839], [1309, 6235], [715, 5496], [3822, 11559], [1432, 4356], [959, 1692], [285, 9295], [3676, 8701], [3115, 6190], [2394, 4178], [5778, 8075], [2335, 2817], [6934, 8517], [1237, 10681], [3738, 8798], [3349, 11497], [7339, 9734], [4906, 11529], [6207, 8188], [2136, 9023], [8545, 8785], [1332, 6754], [10289, 10895], [1827, 10897], [4315, 8809], [1505, 8402], [2255, 9654], [3624, 10389], [911, 4253], [3937, 8634], [1017, 8813], [4558, 4780], [330, 7883], [1440, 7226], [8728, 10340], [4671, 8629], [2661, 11473], [3714, 10282], [4115, 10626], [3521, 6477], [1124, 2267], [1600, 7858], [7665, 7810], [3086, 9932], [8719, 9473], [2096, 9193], [7497, 9165], [4360, 7397], [5846, 8717], [7403, 9503], [1116, 2002], [206, 9136], [2360, 3008], [3354, 11036], [3139, 6910], [4557, 10570], [2946, 7269], [327, 10594], [3716, 9173], [1034, 2350], [1983, 4189], [4089, 5217], [9665, 11394], [7767, 10315], [3870, 6607], [537, 11343], [5996, 9011], [3400, 7624], [1483, 9501], [8478, 8606], [3996, 8409], [9524, 10408], [229, 3993], [872, 3870], [1739, 9871], [1551, 4158], [5069, 11253], [2951, 6458], [2018, 6253], [9368, 10245], [5476, 6881], [6436, 8909], [4471, 7362], [2912, 3497], [394, 7628], [3358, 7721], [5474, 9437], [3507, 4811], [1671, 4610], [6483, 11357], [2572, 3779], [3162, 11192], [356, 1859], [3747, 7681], [3373, 4996], [1943, 10401], [45, 3660], [9349, 11292], [416, 6047], [194, 7166], [4426, 7188], [3989, 4181], [5415, 7702], [2961, 9374], [1893, 3117], [1994, 10339], [2092, 6710], [552, 7813], [7214, 8021], [2582, 10509], [2666, 9456], [2803, 9165], [6502, 8724], [2768, 6700], [5879, 6466], [3907, 7912], [5128, 7995], [8051, 11497], [1565, 3409], [9104, 10306], [3228, 4591], [1731, 8774], [17, 10256], [857, 5766], [5578, 8231], [2126, 11555], [3373, 10607], [6585, 7796], [3020, 6547], [2807, 8883], [3614, 4253], [7190, 9074], [3442, 8118], [423, 8291], [2391, 9355], [1111, 1495], [367, 10611], [5806, 6903], [2874, 5567], [4066, 7918], [8773, 10677], [239, 9113], [2267, 10982], [297, 8337], [4849, 7775], [4772, 5865], [2499, 9827], [357, 474], [6239, 9387], [8978, 11082], [4188, 5814], [3152, 11146], [5168, 9248], [7602, 10307], [8218, 8361], [6356, 6939], [6454, 8228], [6946, 8690], [8472, 9409], [3948, 8986], [536, 2287], [3421, 9469], [317, 3677], [6165, 11508], [5601, 9480], [336, 1475], [279, 941], [3737, 7985], [2713, 7662], [1808, 5341], [7054, 8408], [343, 8281], [801, 2743], [9610, 10396], [2798, 3047], [1706, 2031], [5400, 7662], [45, 895], [5485, 7211], [4867, 8330], [5493, 11236], [3445, 7180], [2189, 8042], [1098, 9503], [1227, 5187], [8441, 10072], [2191, 8088], [2466, 3597], [6134, 8007], [5953, 9127], [900, 5731], [4045, 8114], [6032, 7730], [3461, 8063], [7372, 9225], [7062, 11251], [3454, 6892], [3696, 6425], [4356, 8915], [607, 5105], [3067, 7385], [1296, 6081], [5561, 8495], [865, 2862], [1794, 3325], [4152, 5328], [4085, 4106], [2627, 9715], [294, 7210], [3341, 9058], [4642, 4963], [445, 7379], [6641, 9477], [3857, 3875], [2427, 10034], [873, 9519], [1222, 7421], [374, 5634], [1896, 8863], [7037, 8696], [7460, 11273], [870, 6215], [147, 9792], [682, 6918], [520, 8842], [5497, 6766], [1522, 8063], [7267, 7845], [5868, 8399], [8954, 9421], [1232, 3571], [76, 1631], [4998, 8516], [1421, 4224], [1675, 7524], [6295, 7685], [4094, 6797], [7167, 7614], [3030, 10081], [852, 1071], [951, 4460], [1531, 7021], [5610, 10965], [4827, 9573], [6110, 11288], [8037, 10099], [1566, 3043], [6007, 7403], [6041, 6233], [1412, 8992], [8583, 10797], [647, 5927], [4014, 4939], [7692, 10037], [11110, 11266], [3975, 4230], [5072, 6721], [6443, 10535], [1555, 8896], [5817, 7629], [8745, 11475], [2169, 11041], [3232, 10538], [520, 5004], [2827, 6288], [2476, 4553], [6825, 9324], [142, 4829], [10881, 11564], [6022, 10663], [6335, 9662], [1535, 3706], [1065, 7729], [3463, 6125], [3365, 5590], [3334, 4025], [316, 2915], [1752, 5626], [5580, 11449], [6860, 8729], [315, 3444], [6734, 10310], [4885, 9123], [4541, 9313], [6636, 6742], [34, 6585], [6314, 10663], [1837, 10810], [10051, 10706], [5634, 10904], [9524, 11189], [3357, 4544], [7581, 11121], [6741, 6943], [1820, 5164], [3623, 9389], [10453, 10871], [2069, 5868], [448, 8295], [83, 3444], [2075, 9820], [6896, 7231], [3506, 5017], [8072, 10577], [2032, 10123], [4806, 7086], [1781, 3307], [4609, 9955], [3231, 4970], [5538, 6254], [5975, 7009], [2580, 10113], [4505, 8851], [1929, 8840], [3985, 10505], [1425, 5365], [7118, 11373], [2273, 7152], [1263, 6535], [3353, 10036], [2644, 4621], [9547, 11307], [5680, 8939], [608, 5493], [611, 9174], [1669, 8327], [4086, 6773], [1216, 6315], [3806, 7887], [43, 6623], [8845, 8941], [3717, 7815], [1649, 2383], [10812, 11288], [4356, 4540], [4581, 7102], [273, 1608], [6532, 11225], [3445, 8066], [6375, 7077], [5376, 8504], [8235, 10301], [986, 6361], [3966, 3981], [2849, 8385], [6390, 10768], [820, 2127], [2223, 8862], [4991, 10541], [5058, 9511], [569, 8143], [5832, 8905], [4899, 10952], [3842, 8991], [8198, 10769], [8628, 10353], [4519, 8452], [1333, 3816], [8877, 11057], [4887, 10568], [752, 9698], [2371, 4946], [1810, 6599], [564, 10401], [6598, 11040], [1734, 7543], [2212, 4135], [5971, 7909], [7280, 8593], [1447, 7486], [1426, 6609], [5942, 6390], [3667, 9525], [4777, 8868], [6556, 7781], [3686, 7323], [554, 10063], [2753, 7118], [5647, 5718], [10749, 11258], [4627, 8520], [6733, 10302], [769, 11156], [811, 3488], [4458, 7021], [6911, 8130], [4705, 6898], [1560, 5269], [3045, 3735], [3638, 10665], [10060, 10632], [1714, 2703], [8274, 8296], [9805, 10113], [3611, 5809], [5006, 7765], [2955, 4192], [4128, 7267], [1741, 10161], [6665, 11457], [306, 8806], [2384, 3622], [4440, 6041], [4228, 7848], [3041, 6595], [295, 4483], [6941, 9820], [2734, 5132], [428, 1040], [9049, 10894], [5126, 5965], [3653, 10542], [2075, 9633], [3412, 8201], [53, 4546], [2417, 6364], [9472, 10438], [10566, 11500], [2495, 11158], [874, 7169], [4635, 10989], [5879, 6360], [7348, 10709], [2279, 6780], [1959, 7364], [343, 3719], [6341, 8111], [8082, 10704], [1519, 10475], [5290, 9348], [238, 8806], [3316, 9967], [1475, 7924], [8735, 8990], [6832, 7567], [1267, 10604], [1596, 2966], [2075, 8828], [8947, 9812], [7271, 8368], [1072, 10136], [982, 7210], [2847, 5143], [5051, 9712], [3428, 10558], [6363, 9159], [102, 3633], [3806, 7700], [2622, 5964], [62, 70], [510, 10783], [2869, 5841], [5472, 7675], [4954, 6746], [752, 10316], [52, 2765], [2457, 4584], [2636, 6801], [8280, 10638], [2301, 9706], [6525, 9867], [673, 8710], [2447, 3115], [1417, 9393], [1052, 4542], [8520, 10475], [4473, 5288], [6090, 10289], [4366, 4667], [4144, 6540], [2342, 5923], [2032, 11359], [4525, 8861], [566, 10691], [5802, 7378], [950, 1232], [3556, 8999], [3396, 5334], [779, 5322], [197, 6098], [4328, 5314], [3997, 6463], [7229, 10720], [8004, 10716], [3358, 5200], [8839, 11517], [1238, 3742], [2046, 8382], [1079, 9347], [4157, 9754], [2070, 6524], [210, 267], [5345, 8199], [3354, 11093], [4412, 7994], [2194, 5247], [2849, 7393], [4651, 7229], [7574, 10731], [793, 2695], [6739, 6897], [1438, 9815], [2221, 7043], [1226, 5960], [3903, 6023], [3118, 7968], [410, 6340], [6191, 8785], [3990, 8651], [3264, 7793], [5607, 8734], [4449, 5967], [8554, 10378], [3490, 6793], [2549, 8979], [5570, 9606], [3397, 4350], [7244, 10223], [3137, 9149], [9090, 11112], [3949, 4863], [4384, 11207], [1031, 1705], [10027, 11436], [6622, 8190], [10295, 10692], [1177, 4913], [2820, 11135], [260, 5241], [2422, 3892], [3662, 8189], [1816, 8054], [3373, 8086], [7979, 10793], [3758, 8651], [4684, 5433], [1203, 3101], [2010, 9051], [3928, 5864], [3371, 8390], [9131, 9958], [7730, 10439], [2208, 10914], [255, 10882], [2901, 9380], [2390, 10396], [5237, 9150], [5533, 5536], [524, 5822], [6625, 7683], [926, 3358], [184, 9137], [2708, 5952], [1276, 11284], [3533, 8317], [552, 8220], [5435, 9515], [581, 2542], [6401, 8325], [1379, 4242], [5310, 7534], [764, 5632], [7383, 8422], [1000, 1213], [4900, 9356], [6180, 6636], [3181, 10494], [3551, 9273], [7535, 9193], [7077, 8315], [31, 4734], [6039, 6404], [2113, 6839], [6282, 6539], [4203, 7334], [7004, 9907], [1431, 10417], [836, 6824], [3451, 6009], [276, 7167], [3103, 4545], [9455, 10189], [5128, 6897], [649, 3965], [2144, 3119], [6345, 7992], [1579, 3872], [1391, 10237], [5909, 10845], [5685, 8885], [2440, 9304], [1767, 6552], [1822, 10423], [5908, 10620], [3873, 7580], [8107, 8429], [25, 10904], [2291, 9181], [2726, 9109], [422, 926], [9790, 10263], [79, 3970], [2276, 7368], [9662, 11017], [6104, 6775], [5703, 6431], [3127, 6420], [5768, 10990], [7504, 9075], [1993, 8211], [1026, 5012], [3524, 3612], [320, 10448], [3326, 9289], [1831, 3719], [5261, 8715], [1123, 8328], [259, 6008], [3898, 9680], [1651, 8447], [3948, 9043], [1031, 8739], [3043, 10105], [8053, 10421], [3879, 7344], [200, 10689], [4159, 9613], [2354, 9479], [365, 6784], [263, 8759], [4989, 9316], [1286, 8857], [5484, 7043], [8233, 9426], [3651, 11277], [10246, 10263], [2751, 2884], [6908, 8239], [2835, 8247], [1002, 6065], [1003, 6667], [3851, 4922], [5597, 7859], [4358, 6416], [5071, 5534], [3918, 9527], [5131, 5585], [8959, 11408], [3142, 3644], [4726, 7751], [6276, 7366], [5526, 6114], [9199, 10868], [2598, 7903], [6930, 9287], [2073, 2797], [10815, 11480], [1567, 11327], [545, 1251], [1767, 11358], [348, 4120], [5523, 9199], [392, 10054], [3759, 11318], [294, 7267], [3116, 4301], [8630, 8846], [3155, 9891], [321, 11342], [4457, 9404], [10126, 10854], [10659, 11317], [6140, 11238], [2840, 7786], [2212, 8217], [7008, 10267], [243, 512], [4418, 5662], [378, 6564], [4569, 5831], [3762, 4045], [4379, 9871], [2739, 7330], [270, 1554], [609, 1020], [2145, 7345], [144, 9551], [8829, 9032], [513, 4695], [2632, 3676], [9672, 9694], [3647, 6165], [2747, 4188], [5470, 11012], [7356, 10576], [4083, 8947], [2071, 10964], [6734, 7789], [6257, 8389], [416, 11528], [8654, 9566], [1956, 3285], [4669, 5257], [904, 8084], [3328, 9953], [7161, 9704], [10337, 11400], [432, 1858], [774, 5759], [2947, 3845], [3640, 8727], [6190, 6763], [9025, 10418], [5997, 9374], [242, 8150], [2707, 8522], [584, 5635], [5136, 10735], [1914, 6442], [2268, 7694], [1575, 2812], [7486, 8713], [6935, 11054], [1923, 7659], [5968, 7855], [7683, 9227], [362, 3721], [1573, 9532], [1785, 7725], [8052, 10787], [2663, 10852], [2041, 8819], [5279, 7229], [5341, 8107], [1664, 6617], [4305, 7023], [855, 4004], [9900, 10244], [1254, 7685], [2532, 2640], [3297, 10616], [8310, 10449], [1679, 6144], [3145, 3779], [3761, 5997], [6223, 8350], [1370, 11401], [4906, 7024], [770, 1048], [3687, 6987], [7709, 9643], [985, 2141], [2282, 6972], [7273, 10244], [4183, 7568], [4462, 6983], [5683, 7066], [5019, 7840], [1966, 8429], [5207, 10520], [4961, 7835], [6893, 6990], [5394, 10346], [1196, 3492], [7725, 9772], [1094, 5467], [1496, 7167], [2865, 10154], [1925, 2362], [7900, 11466], [1938, 6731], [5314, 11521], [7156, 7750], [6337, 10865], [936, 4477], [1337, 2569], [9078, 9223], [4568, 6978], [3317, 7430], [4818, 10536], [2757, 6275], [5752, 11343], [2481, 6377], [8016, 9547], [7512, 8324], [2653, 5171], [4213, 5474], [5240, 8724], [7415, 8391], [5892, 7189], [1539, 2676], [5489, 9428], [3304, 9827], [888, 1403], [1127, 10087], [1839, 5597], [690, 4047], [4353, 8113], [3735, 9232], [2250, 4350], [3869, 5260], [2685, 4278], [6654, 8828], [743, 7064], [1333, 8061], [1892, 5581], [2234, 8728], [3951, 6763], [2230, 4822], [5807, 7616], [6675, 10055], [3163, 6158], [2201, 3303], [8236, 10960], [4535, 7164], [194, 5694], [4378, 6426], [3158, 9197], [4930, 6939], [1629, 4016], [1787, 4602], [99, 5807], [6948, 11503], [3930, 4731], [654, 10001], [7321, 10553], [9993, 10272], [8198, 10826], [7472, 8470], [226, 4047], [5627, 11189], [1098, 11146], [1685, 7708], [7227, 7885], [962, 11285], [4415, 11569], [22, 9909], [2008, 5890], [9860, 11032], [2880, 5819], [677, 4858], [4157, 6965], [6388, 9193], [1964, 5968], [1292, 10234], [5414, 5954], [62, 11536], [3341, 10701], [6448, 9594], [1749, 10860], [130, 3534], [4550, 7017], [4170, 7550], [8684, 9914], [2144, 11389], [1213, 1431], [2049, 8119], [6567, 8727], [8484, 9102], [5844, 11550], [77, 2395], [6439, 9481], [2758, 9747], [4033, 7437], [3757, 5287], [2198, 8592], [6864, 11350], [259, 1096], [4873, 7828], [1914, 2417], [2197, 4957], [3597, 11421], [2322, 3151], [3375, 6124], [5763, 8336], [7325, 9466], [9628, 11008], [2811, 3315], [194, 7467], [6360, 9723], [1711, 3936], [1031, 4177], [313, 8098], [3794, 4014], [7307, 10765], [5318, 8070], [1617, 2022], [6188, 7926], [4501, 4815], [612, 11548], [4595, 8614], [582, 759], [5155, 6736], [139, 6605], [4521, 9604], [3196, 6135], [6730, 7347], [5142, 5750], [6824, 6982], [2627, 9398], [9377, 9453], [2790, 11082], [3463, 7418], [1565, 7093], [3898, 7346], [9847, 11065], [3063, 3512], [9193, 10275], [9131, 9397], [4107, 10903], [3372, 11437], [6006, 8420], [4892, 11587], [3392, 5673], [7998, 8380], [377, 8998], [3297, 5786], [8243, 10813], [6531, 6706], [609, 646], [2890, 7125], [1398, 5236], [1644, 2259], [1642, 5596], [7829, 8729], [917, 8346], [6001, 7645], [3341, 10969], [8323, 9237], [1191, 10800], [3412, 6648], [6478, 9704], [8189, 9422], [2067, 7438], [1659, 9333], [157, 9008], [2583, 6042], [5332, 7671], [3302, 4975], [4267, 7347], [8193, 10295], [3455, 5971], [67, 6082], [3150, 5335], [7415, 7749], [1899, 2377], [428, 1365], [10398, 11302], [4882, 5930], [3084, 6967], [4665, 8147], [10148, 10373], [1986, 4251], [1189, 10323], [7997, 9602], [3946, 5427], [4032, 10863], [2208, 6515], [1358, 8065], [525, 8064], [62, 6088], [4658, 8107], [10638, 11139], [6744, 6948], [7805, 9782], [1293, 6889], [3154, 8086], [638, 8126], [1328, 2911], [7138, 8006], [2437, 8445], [7258, 8108], [7416, 9448], [6264, 10633], [6114, 6902], [2836, 11345], [2832, 8193], [4549, 10392], [2703, 3087], [674, 3999], [966, 7783], [6842, 7082], [8622, 8849], [6197, 9007], [3447, 7153], [2449, 8805], [3101, 6516], [4878, 11018], [9384, 10111], [6767, 7847], [7548, 8412], [2880, 4827], [1606, 10745], [349, 7218], [569, 3020], [4464, 6655], [3686, 9771], [8564, 10722], [3280, 9083], [224, 5991], [2715, 9082], [4329, 10402], [4198, 4469], [4607, 9592], [3013, 3262], [1151, 2594], [4043, 6783], [1030, 4519], [3256, 6403], [5093, 8704], [8957, 10774], [3666, 7964], [1085, 7609], [1584, 9242], [10763, 11510], [3196, 8981], [2570, 6075], [5935, 10676], [2133, 6074], [7717, 9106], [398, 4427], [618, 8897], [5054, 6497], [3973, 5640], [117, 4185], [3527, 7805], [1949, 6896], [760, 4816], [913, 5058], [414, 4179], [1221, 2959], [290, 5833], [4925, 7026], [257, 3441], [7046, 9840], [1223, 9421], [2152, 10638], [1637, 8472], [2213, 7127], [6175, 9732], [8183, 10225], [6041, 9917], [10543, 11520], [2570, 8303], [5947, 10255], [4507, 8556], [3664, 7113], [873, 5982], [4758, 5923], [4107, 11066], [9165, 9918], [2508, 10808], [6830, 7340], [8170, 8835], [1138, 3432], [3763, 10475], [5776, 11312], [2934, 6486], [396, 2795], [3632, 4542], [6899, 8608], [4492, 9372], [3434, 4557], [2379, 4921], [5529, 7648], [8320, 9533], [5732, 8007], [632, 8929], [2678, 5742], [1497, 7687], [4401, 6975], [3248, 10968], [6302, 7571], [8095, 10354], [1185, 5880], [8662, 9647], [1028, 5896], [5952, 7192], [3928, 7694], [7818, 10985], [11226, 11526], [4195, 8977], [4735, 6447], [3481, 3972], [3788, 10316], [4967, 5292], [4787, 10020], [5059, 8264], [6753, 11011], [7894, 9667], [2042, 10762], [3687, 7231], [9196, 11432], [4242, 5009], [5375, 9409], [7149, 7978], [6079, 8064], [10726, 10772], [2351, 9238], [1126, 10911], [1411, 1446], [2493, 11573], [9509, 10027], [6419, 7351], [2781, 11451], [3216, 11379], [7602, 9616], [5071, 8624], [2650, 6272], [1373, 8509], [5879, 6848], [4757, 5990], [3573, 8418], [2931, 4979], [7903, 9729], [1886, 6061], [6619, 10795], [7302, 7819], [331, 10239], [866, 7365], [1136, 11198], [3543, 7428], [273, 9480], [2477, 9885], [2138, 4003], [2194, 10728], [11153, 11532], [4377, 10256], [3682, 9465], [6739, 8995], [3692, 3737], [3616, 11097], [498, 10537], [7067, 8302], [314, 2314], [4826, 11021], [3427, 5159], [10519, 10613], [3139, 7910], [7125, 8657], [2147, 6344], [6042, 7727], [4048, 4688], [3353, 6149], [2673, 6390], [1049, 2130], [1054, 2474], [4106, 8830], [1616, 10091], [1700, 2622], [245, 9660], [3574, 8188], [3135, 11524], [50, 2776], [2663, 5298], [1875, 4316], [1412, 2340], [2564, 10954], [3314, 9954], [9470, 11522], [1070, 6740], [918, 9352], [6109, 7794], [469, 4830], [5921, 8497], [322, 1370], [4730, 9754], [2206, 3517], [2049, 5785], [1219, 9465], [9144, 9258], [5792, 9026], [5100, 5500], [2713, 8394], [3821, 6910], [3628, 7269], [343, 2597], [675, 11472], [491, 2495], [4534, 6028], [4045, 10001], [9298, 10075], [1972, 4225], [5065, 5664], [6679, 6984], [1321, 9368], [2162, 9984], [6936, 7549], [1785, 7782], [3978, 11408], [10385, 11097], [299, 9091], [5827, 11090], [2128, 10750], [7135, 7385], [2498, 3867], [4805, 5151], [9712, 10250], [3698, 4601], [336, 4435], [6098, 6830], [3057, 4770], [2432, 8882], [4225, 7501], [3301, 5130], [1062, 7922], [5869, 10161], [7208, 8021], [2819, 3851], [9613, 10594], [6399, 10326], [5833, 7471], [1041, 5540], [5526, 10172], [10008, 10369], [7673, 7791], [2982, 8918], [6394, 9201], [8352, 9577], [1538, 9729], [2689, 4909], [13, 7700], [6357, 7067], [4557, 7277], [1873, 6043], [6792, 6995], [1163, 7573], [719, 4149], [1431, 1911], [1871, 8599], [873, 3835], [4166, 6116], [6655, 6882], [10760, 11293], [144, 427], [7986, 11297], [3235, 5957], [4998, 5865], [622, 6818], [8209, 9999], [4305, 5120], [4936, 8370], [1046, 5833], [3776, 8940], [980, 7465], [1319, 6931], [1221, 3390], [792, 7414], [3464, 7133], [4398, 4530], [3754, 10844], [3064, 10397], [757, 2697], [4872, 7796], [3998, 4788], [1247, 1578], [8225, 10882], [1212, 3277], [654, 10863], [1220, 3138], [5115, 10937], [5418, 7740], [2343, 6850], [7873, 9676], [784, 3739], [3143, 5213], [751, 7763], [5670, 8715], [4424, 10265], [3142, 5742], [406, 1312], [5156, 9433], [1605, 6362], [2926, 3643], [4968, 9382], [398, 7086], [6616, 9532], [2610, 5100], [1386, 10381], [820, 5274], [6124, 6791], [3536, 5265], [2192, 5526], [2039, 3032], [397, 6834], [2870, 2960], [2221, 4766], [7549, 10087], [6541, 11051], [2623, 7964], [1174, 9909], [761, 11460], [2788, 4059], [3676, 4521], [386, 5921], [102, 6162], [6361, 9363], [817, 8359], [3952, 10054], [3241, 3812], [10056, 11432], [1193, 11090], [5818, 10841], [8715, 8958], [1284, 4038], [3997, 6764], [7595, 9681], [4487, 9809], [380, 4571], [251, 2471], [7513, 10780], [4234, 5953], [7415, 7993], [1529, 3842], [906, 3863], [1002, 10741], [7253, 9163], [839, 2641], [6999, 8115], [217, 608], [4605, 10969], [8301, 11011], [6990, 7248], [3669, 7083], [78, 449], [2317, 6702], [2327, 11554], [7857, 10216], [4058, 9295], [3034, 3310], [4806, 7468], [1542, 7837], [208, 3124], [731, 5151], [2200, 9500], [8143, 10021], [2350, 6061], [4583, 9116], [2413, 10547], [9598, 9776], [4433, 6139], [10438, 10921], [8124, 8466], [5973, 7695], [6420, 9138], [904, 3766], [4916, 5734], [1304, 11055], [10950, 11254], [3694, 4645], [8148, 9210], [772, 3997], [6936, 9590], [5057, 7063], [11034, 11332], [3198, 10076], [2653, 5846], [2971, 4435], [3124, 7683], [4533, 5565], [5155, 10981], [5031, 9225], [77, 2802], [6763, 7568], [3098, 9845], [9507, 9607], [2592, 11205], [5985, 11438], [3435, 6232], [2163, 8813], [2461, 6026], [38, 9263], [3190, 6401], [4419, 7156], [1714, 11461], [7047, 10710], [1464, 4116], [1899, 4044], [10646, 10819], [11112, 11558], [3149, 9029], [7215, 7850], [4324, 7269], [5414, 8589], [1672, 1786], [3824, 5411], [6287, 11372], [703, 5307], [2382, 7022], [1236, 1606], [6745, 9971], [492, 10722], [9502, 11491], [5625, 9159], [109, 3787], [5279, 8522], [7815, 8380], [4686, 10637], [230, 5245], [2212, 10933], [1715, 3711], [1601, 6807], [5018, 7434], [434, 2042], [7013, 11075], [1562, 6098], [965, 1678], [373, 8182], [39, 9060], [8333, 10413], [4720, 6464], [3017, 9990], [7647, 10839], [6652, 11254], [4943, 5166], [795, 4091], [3723, 7937], [3315, 6422], [4503, 8277], [454, 7181], [1975, 7556], [5648, 10058], [3093, 4508], [8359, 8951], [4061, 4899], [845, 3804], [9277, 11507], [5273, 7148], [3484, 7547], [648, 6673], [904, 4384], [1879, 7444], [5172, 10479], [6101, 6778], [3823, 10396], [9805, 10845], [2776, 9123], [2174, 10775], [7683, 8560], [2017, 6627], [2213, 3533], [5533, 10643], [8432, 9587], [4841, 7117], [2351, 2716], [4097, 5653], [3787, 11089], [3350, 8082], [3625, 5843], [6123, 8607], [1603, 7926], [458, 9528], [2005, 4708], [7555, 9664], [2634, 5633], [4895, 10736], [361, 3179], [478, 4518], [2434, 11237], [3093, 3703], [1814, 2861], [1411, 8106], [7512, 9967], [72, 6459], [5576, 10316], [162, 8604], [649, 8722], [3214, 8544], [6683, 9361], [8599, 10235], [4143, 4843], [4640, 5649], [337, 6915], [65, 2255], [3735, 7492], [8437, 9907], [1930, 7358], [125, 9476], [2704, 6752], [6620, 8258], [5995, 8206], [6220, 10768], [4635, 8688], [3233, 3309], [3516, 11511], [3727, 10233], [4596, 5727], [7698, 11446], [7204, 10911], [8978, 9480], [886, 1845], [887, 11115], [1453, 3390], [8235, 8618], [986, 11094], [1535, 5674], [5934, 10532], [2402, 5259], [1068, 6962], [7174, 9167], [8194, 11246], [546, 7789], [2248, 4792], [9493, 11242], [5138, 5902], [623, 9729], [10024, 10878], [4382, 7087], [7974, 10913], [842, 7558], [2994, 5521], [2578, 3391], [2581, 3662], [6727, 8074], [5918, 6215], [10892, 11038], [18, 8050], [10084, 11279], [1746, 9627], [4348, 8607], [2295, 4207], [245, 3488], [7774, 9697], [1133, 3950], [5802, 11143], [5179, 5502], [598, 3791], [2192, 2924], [2522, 5310], [2897, 4433], [1627, 7841], [5484, 5734], [4737, 4753], [1691, 8765], [504, 7512], [3859, 6507], [3403, 6456], [4291, 6918], [4583, 10702], [1865, 9884], [3521, 10649], [472, 7974], [2554, 4444], [472, 1558], [7430, 8732], [1645, 11049], [6440, 10245], [4191, 5933], [4982, 7186], [5720, 11087], [4080, 9300], [9173, 11371], [2113, 10336], [549, 6881], [8983, 11247], [3496, 8525], [4555, 10532], [76, 7600], [2632, 9588], [1622, 3309], [4094, 6350], [1283, 3843], [76, 10983], [632, 2570], [2527, 11265], [3826, 10507], [5, 9238], [273, 9992], [2988, 7129], [7029, 7583], [3639, 4615], [1366, 5167], [5285, 10354], [242, 7646], [330, 3329], [1422, 5476], [4839, 6103], [1394, 10598], [2977, 5435], [5559, 6392], [1457, 1498], [5870, 10226], [1321, 2391], [326, 9976], [766, 7242], [6275, 11443], [635, 4315], [1077, 5414], [7073, 8979], [4681, 11529], [6, 10937], [1869, 2381], [6700, 7650], [1652, 3844], [98, 7493], [2498, 9722], [6512, 7599], [8222, 10879], [10056, 10253], [6131, 10159], [2238, 7324], [2515, 10076], [741, 5091], [8429, 9078], [1541, 9089], [3449, 3686], [5037, 10201], [2351, 8140], [391, 10347], [3353, 7361], [2849, 3132], [5028, 5170], [4718, 10606], [9625, 10043], [1851, 7413], [756, 4968], [2530, 3537], [5582, 9893], [10157, 10281], [1439, 2746], [377, 6103], [6101, 8014], [6882, 8579], [1397, 2520], [2809, 6335], [8743, 9022], [620, 9244], [4203, 8066], [1338, 8706], [7268, 8241], [5191, 5699], [8298, 11008], [3319, 3589], [7589, 10511], [7080, 8190], [7582, 9340], [987, 11108], [3870, 11047], [2060, 4153], [4367, 5437], [10531, 11030], [1192, 4343], [11, 7042], [2277, 5319], [919, 8880], [3161, 3353], [6726, 10294], [1258, 6094], [630, 8777], [2226, 8737], [1161, 1997], [2155, 10025], [307, 395], [5203, 6059], [8303, 8699], [5104, 9463], [66, 683], [8458, 8987], [922, 1607], [6596, 8319], [56, 3378], [5066, 9329], [6675, 9551], [6406, 11578], [9849, 10420], [1077, 6032], [2403, 10103], [815, 7752], [2401, 9276], [2807, 7712], [281, 7818], [5482, 6948], [2188, 5196], [4884, 9473], [2019, 9359], [2769, 4195], [5004, 8077], [1394, 3645], [8370, 9116], [4108, 6219], [6415, 7503], [3237, 3482], [1047, 2783], [6466, 8222], [5566, 6245], [8052, 9746], [5970, 11024], [6844, 7616], [8652, 11431], [146, 1335], [6061, 10388], [3315, 8276], [2358, 3513], [168, 2814], [6303, 9921], [2046, 8122], [1418, 8553], [236, 1228], [2852, 3267], [4182, 11244], [2991, 6085], [3376, 5896], [6015, 10393], [5113, 5337], [4324, 10546], [1719, 5633], [2933, 8709], [5818, 9475], [1124, 7675], [1425, 8569], [3018, 4094], [2806, 6655], [4363, 6687], [3976, 6049], [3168, 10454], [8462, 11283], [1368, 5002], [4480, 10655], [3602, 10911], [5164, 11287], [2131, 3483], [121, 2163], [1332, 1558], [5595, 7309], [3809, 7225], [4561, 7052], [3435, 8704], [6759, 6888], [11152, 11177], [8127, 9650], [571, 9165], [1459, 9627], [688, 3334], [6758, 10046], [500, 10453], [2732, 3484], [4705, 5646], [2523, 9726], [847, 8282], [114, 10417], [3235, 8242], [2650, 5337], [897, 1229], [4699, 5831], [3577, 11389], [9872, 10083], [7346, 9435], [901, 1348], [6100, 10985], [1366, 9786], [9256, 10524], [6561, 9101], [6432, 11165], [8271, 10129], [477, 1959], [2748, 6969], [5709, 6791], [5636, 11416], [2207, 3612], [2468, 8083], [7910, 11062], [5448, 5703], [8063, 11304], [2146, 5588], [220, 963], [3149, 7663], [3641, 8125], [8271, 8974], [1426, 3397], [1871, 10429], [1021, 5563], [6129, 9420], [5876, 11226], [176, 3293], [6970, 10036], [983, 2827], [7304, 9158], [956, 10803], [5001, 7993], [5393, 11257], [1914, 3336], [10291, 11332], [389, 7723], [3009, 11416], [2257, 10091], [8659, 8682], [9562, 10176], [7233, 10796], [2875, 5939], [2279, 4373], [1286, 6369], [6599, 10658], [5797, 9216], [873, 4510], [2435, 4886], [6036, 11484], [177, 9910], [7054, 11238], [6997, 10704], [3733, 6909], [8060, 10201], [5687, 10549], [3548, 11293], [3137, 9507], [2333, 7992], [7176, 9888], [2384, 10209], [6780, 9134], [9918, 10346], [4531, 7828], [4001, 11046], [8108, 9868], [6124, 8271], [2358, 3326], [456, 2505], [6653, 7080], [4091, 4523], [4086, 4179], [261, 2037], [7641, 8123], [1381, 5451], [4511, 6802], [3991, 4292], [5300, 7228], [7478, 9822], [2066, 8937], [4886, 11560], [8943, 11019], [1459, 3829], [2675, 6951], [2262, 11508], [2957, 5883], [3597, 6997], [840, 11112], [2628, 7135], [3567, 8286], [6588, 8159], [1101, 2027], [333, 6585], [336, 10266], [6616, 7174], [2321, 2639], [6832, 7738], [10750, 10825], [3165, 6936], [1909, 10050], [6520, 10849], [6736, 11413], [8443, 8760], [198, 7299], [4833, 7738], [4518, 8666], [6297, 8333], [4979, 7563], [1288, 8619], [4079, 5586], [7074, 11408], [8965, 10562], [4514, 5514], [5086, 11567], [9876, 10419], [4668, 9364], [8506, 9459], [10469, 10933], [99, 9922], [686, 822], [6064, 7758], [364, 4743], [3765, 11253], [2141, 9245], [5315, 10114], [3639, 5664], [8649, 8986], [1020, 9743], [1245, 8141], [3640, 9272], [2293, 5852], [4355, 11469], [2201, 6263], [425, 11031], [2784, 6089], [1020, 6710], [5992, 6542], [6497, 11373], [451, 9219], [3288, 11449], [1268, 9441], [10440, 11292], [2875, 3174], [4153, 10207], [2398, 3020], [823, 8044], [3753, 6301], [1817, 9656], [5385, 8200], [1589, 4544], [3987, 5192], [1834, 7758], [268, 3476], [4501, 6352], [7302, 8925], [2267, 10242], [5312, 9011], [5432, 6861], [4680, 5536], [4221, 10849], [2282, 7517], [1536, 2974], [170, 258], [8669, 9183], [3313, 5978], [2368, 6510], [4805, 11250], [6259, 10403], [5734, 7549], [3120, 4802], [3211, 11336], [4142, 8462], [1750, 11012], [253, 8779], [4735, 8976], [2677, 4232], [7159, 9347], [3630, 10007], [2122, 9837], [4949, 6461], [128, 6798], [8278, 9153], [3985, 11107], [4596, 8817], [1151, 6896], [3948, 5563], [7585, 7654], [360, 2610], [5239, 6415], [2188, 3667], [3378, 8601], [2848, 5403], [4188, 7652], [5735, 6996], [2004, 10905], [4986, 5188], [4063, 5671], [9441, 11109], [4742, 5959], [2185, 10162], [1280, 7841], [1688, 3694], [6908, 7792], [9813, 9934], [1812, 11085], [5922, 9424], [208, 4067], [7776, 9450], [4481, 10506], [4199, 5158], [10324, 11577], [300, 623], [361, 7692], [2267, 8632], [1071, 3129], [169, 10905], [4286, 11169], [2531, 6234], [1134, 1199], [79, 1563], [237, 9319], [7396, 10333], [74, 11018], [4217, 5333], [3379, 4988], [1314, 9653], [8777, 11078], [446, 3427], [1272, 3011], [788, 7328], [4520, 6273], [3856, 7047], [5576, 8763], [9490, 10196], [156, 3853], [5847, 9788], [897, 7271], [2948, 4428], [5568, 8121], [8360, 8696], [521, 1507], [861, 1575], [5279, 7237], [1115, 5629], [234, 7866], [5251, 9353], [2942, 7242], [2001, 3012], [5751, 9676], [2009, 9289], [2164, 4696], [8734, 10977], [7295, 8722], [6149, 7470], [3349, 8505], [5429, 10564], [3218, 3326], [919, 1903], [7318, 7393], [2316, 4686], [8565, 8697], [5819, 10749], [619, 7303], [1245, 6799], [10248, 11285], [971, 5476], [7595, 9364], [3108, 8069], [60, 9002], [5015, 5447], [5016, 9055], [8123, 8702], [4575, 9312], [10137, 10141], [3067, 8418], [1800, 11343], [6603, 7424], [3096, 3871], [4427, 10538], [382, 10342], [2966, 7962], [4241, 5652], [5610, 6387], [3922, 6838], [2955, 3639], [3684, 7424], [2898, 3105], [9814, 10023], [2805, 6324], [845, 2869], [3962, 9620], [7969, 10490], [782, 1766], [2404, 9363], [1248, 3259], [4388, 5298], [6215, 6911], [5201, 8030], [800, 2345], [4971, 8507], [5446, 10463], [7495, 10957], [1320, 6703], [7925, 10541], [1416, 7165], [237, 9937], [3719, 8707], [3528, 4975], [7516, 8801], [4902, 6808], [1975, 5816], [3867, 8578], [4304, 8579], [1902, 4025], [809, 8823], [1550, 9235], [4012, 8178], [414, 5261], [2497, 11001], [1611, 6478], [1016, 2885], [8560, 10126], [1924, 4723], [1299, 4671], [29, 1663], [4292, 7414], [3762, 4216], [6243, 7373], [8242, 8504], [2509, 11011], [3419, 7260], [4441, 10920], [4690, 7460], [4972, 10556], [5655, 10586], [3604, 7013], [701, 10579], [6140, 6871], [6093, 7025], [11258, 11416], [1076, 9702], [1446, 2065], [5623, 8796], [1920, 8337], [8857, 9716], [5206, 9447], [1761, 6772], [5649, 6984], [3211, 9189], [4188, 6660], [3426, 3893], [4306, 10853], [1751, 9467], [2084, 11370], [3766, 10350], [5168, 7061], [5163, 6717], [4567, 5151], [957, 11299], [2445, 2866], [5569, 10788], [6159, 7621], [170, 339], [2162, 6715], [3915, 4407], [205, 9193], [5970, 8853], [2317, 7003], [51, 5720], [9204, 9773], [5183, 9971], [3445, 11059], [4617, 4864], [1852, 2702], [3156, 4540], [1125, 2373], [3184, 9971], [2807, 7769], [4925, 6148], [250, 8562], [3527, 10310], [3360, 5474], [7969, 11108], [751, 9487], [274, 10087], [6665, 8489], [2902, 7225], [2675, 8000], [2398, 9412], [5168, 6256], [4542, 9766], [2138, 4385], [7375, 10342], [5720, 6769], [1697, 3888], [2605, 6480], [6178, 11030], [5688, 10614], [6712, 8685], [7949, 9301], [1135, 5289], [6799, 7149], [7790, 8490], [3989, 10906], [1785, 7091], [1007, 6043], [9726, 10770], [9031, 9979], [1937, 3698], [9476, 10595], [2155, 11505], [541, 1517], [5015, 7488], [4516, 10773], [7759, 9527], [4232, 4598], [1274, 10709], [959, 2969], [3822, 6420], [2951, 9345], [4329, 7914], [8216, 10934], [688, 7579], [8685, 9692], [7097, 7341], [2640, 8894], [5320, 8474], [868, 9617], [4497, 8437], [4461, 5774], [4906, 6390], [7553, 8496], [4463, 5820], [6462, 6951], [1606, 10485], [8109, 9882], [3745, 6708], [2274, 5696], [97, 10120], [319, 2585], [2185, 3372], [9060, 11043], [147, 6450], [7321, 8496], [3885, 9347], [5067, 10256], [373, 5450], [2572, 5511], [5975, 6432], [2241, 10070], [7122, 8286], [3049, 8294], [2041, 9258], [3253, 11507], [8077, 9189], [383, 5387], [3154, 9249], [7646, 10134], [5278, 10826], [5586, 8727], [4782, 7212], [2351, 4172], [4087, 6421], [4496, 10790], [1719, 7113], [6416, 9184], [531, 7887], [1835, 8227], [4204, 10389], [663, 1590], [2772, 8551], [5601, 10139], [5718, 10724], [926, 5383], [1301, 4506], [2072, 4383], [7317, 10201], [9301, 10300], [459, 6671], [1992, 2145], [669, 7447], [6276, 8773], [4132, 9173], [4973, 9789], [5193, 11253], [388, 1543], [4475, 8758], [5055, 11319], [738, 3053], [3532, 10117], [4776, 5488], [5798, 9148], [1011, 10567], [2663, 7453], [6018, 7202], [2126, 3838], [1730, 7248], [2162, 3495], [973, 1415], [6991, 7937], [8445, 10500], [720, 969], [6464, 8420], [6977, 9759], [516, 7555], [2588, 5589], [414, 9530], [5025, 10329], [6298, 6438], [5582, 11186], [2676, 4655], [2030, 3726], [5925, 11525], [1906, 6134], [39, 4368], [2055, 5476], [286, 4999], [5693, 8923], [3291, 5867], [5871, 6751], [3692, 10348], [5906, 6183], [7606, 8775], [4293, 8471], [295, 4711], [4031, 10945], [3074, 8434], [2542, 8573], [9722, 10464], [388, 4121], [3065, 4184], [599, 8505], [196, 918], [4022, 5914], [1097, 5749], [1227, 11457], [1805, 4523], [254, 7689], [7938, 10803], [4695, 5633], [11107, 11328], [2339, 3676], [59, 7221], [11239, 11447], [7648, 11229], [10213, 11051], [464, 2022], [7711, 9299], [6568, 7564], [7364, 8437], [6462, 9797], [925, 3548], [6642, 8452], [2132, 6207], [3849, 4242], [4749, 6219], [2099, 3815], [3116, 7131], [4005, 4755], [5058, 6974], [4187, 10653], [8596, 9059], [541, 6941], [1148, 7915], [1642, 2034], [2206, 4062], [2216, 5504], [3233, 8066], [4893, 5567], [7065, 10598], [281, 3045], [6681, 7225], [5724, 8878], [2663, 4688], [3514, 10910], [1236, 10364], [28, 8234], [4694, 10992], [1950, 2537], [6470, 10388], [1914, 7044], [174, 889], [974, 5668], [1395, 1726], [1451, 9205], [6709, 9623], [675, 2568], [12, 6196], [764, 1859], [3038, 11331], [1968, 10663], [2281, 8908], [1849, 9251], [7363, 7380], [1226, 3610], [4894, 7266], [6236, 10342], [1570, 3420], [5584, 8467], [1313, 5484], [1681, 4190], [4860, 5403], [2406, 7075], [7910, 10932], [6915, 9095], [341, 5324], [1055, 3913], [5069, 8960], [1707, 8794], [6432, 6497], [2114, 10084], [932, 2759], [1076, 1757], [81, 7090], [251, 5781], [1325, 2461], [1025, 9339], [6312, 8243], [2757, 7682], [9952, 10605], [2204, 9196], [2139, 2385], [8322, 8782], [1111, 1162], [8359, 11293], [6821, 9059], [1877, 9740], [6359, 10691], [5, 8384], [535, 1002], [3798, 10988], [811, 9945], [3842, 11260], [1683, 6464], [5170, 5578], [9712, 9990], [7814, 9665], [2888, 5290], [1685, 3504], [4825, 5543], [871, 7717], [840, 8404], [2795, 2847], [563, 9816], [6999, 7237], [1369, 11377], [5753, 8787], [6405, 6498], [4262, 9752], [988, 5269], [2858, 10716], [6238, 11461], [6274, 11118], [1076, 10751], [8173, 10887], [1886, 9802], [5002, 7283], [451, 10699], [1627, 5377], [6365, 7449], [4056, 5338], [10408, 10982], [3648, 10239], [1337, 5049], [4091, 7776], [4984, 8582], [2582, 4028], [2003, 11491], [8095, 9102], [2892, 8391], [6634, 8778], [4201, 11327], [6787, 9020], [4113, 8474], [8033, 8224], [5107, 10086], [501, 7379], [2265, 5260], [7310, 8014], [273, 2267], [1360, 6322], [2327, 3105], [5069, 10733], [4790, 11318], [4439, 10337], [3069, 3715], [984, 10357], [5153, 6647], [3255, 3316], [5925, 9378], [6575, 10426], [8187, 10919], [1814, 4398], [1124, 6203], [4468, 9173], [3857, 6575], [5240, 5488], [6190, 6828], [2155, 3910], [7313, 11294], [1709, 10239], [4262, 7792], [3236, 7396], [3668, 7807], [123, 1518], [6043, 6751], [3085, 10610], [1583, 10285], [1763, 6688], [5839, 6197], [5689, 9636], [5186, 11267], [4570, 6043], [3687, 8207], [1954, 3223], [6861, 9076], [2597, 3100], [6826, 10021], [608, 1159], [2963, 5143], [977, 8381], [2090, 11405], [4655, 11227], [2303, 6036], [3113, 11503], [4369, 9143], [2099, 6206], [8809, 9114], [6223, 8415], [5051, 8948], [2498, 4225], [1097, 3952], [1243, 10193], [470, 7237], [8219, 11500], [1425, 3259], [1298, 6867], [579, 764], [3825, 10369], [557, 6832], [6131, 11428], [3906, 6012], [1349, 6805], [5251, 8605], [354, 4968], [2258, 9245], [1380, 3085], [478, 10861], [5232, 9302], [2645, 2716], [3648, 11207], [1367, 4728], [3266, 10913], [4078, 4375], [4138, 4426], [8215, 10953], [2585, 10929], [3444, 6489], [9330, 10640], [144, 785], [4137, 4955], [5221, 8739], [6528, 8596], [8885, 9243], [423, 9999], [513, 5728], [222, 2546], [2291, 10832], [7756, 9099], [2322, 5981], [4712, 6768], [7016, 7754], [5075, 8513], [977, 10154], [1996, 3717], [7097, 9813], [4388, 10966], [1124, 7171], [7438, 9325], [766, 2013], [1956, 7701], [6283, 10993], [5375, 7620], [7173, 10747], [141, 5344], [1163, 9004], [3040, 4288], [2598, 3943], [4196, 4730], [6923, 10572], [5706, 10608], [8539, 11184], [196, 9188], [3817, 11500], [440, 9548], [10098, 11262], [3308, 6146], [10092, 11447], [1468, 6957], [2607, 11202], [8801, 9090], [1860, 9467], [1459, 9123], [774, 9020], [1178, 8881], [1331, 9877], [5575, 11414], [7008, 9690], [2791, 9976], [5869, 11137], [2572, 11366], [6627, 9998], [3286, 3539], [7525, 11148], [3666, 10176], [3194, 10366], [5527, 10619], [4782, 6301], [866, 8959], [18, 756], [983, 3128], [2194, 8939], [5845, 9962], [4532, 9536], [2003, 5961], [6113, 10716], [5966, 11420], [7272, 7669], [10195, 11171], [3132, 6455], [2571, 8108], [1974, 10104], [7149, 8767], [5952, 6826], [1545, 7712], [666, 4360], [2687, 2806], [1873, 7019], [2160, 10459], [5233, 6358], [4899, 7236], [5678, 11138], [876, 5109], [1722, 10233], [4276, 11394], [4206, 4239], [6683, 9906], [3539, 3961], [6340, 6534], [10333, 10704], [1303, 7024], [2381, 10993], [4719, 7426], [8358, 11098], [4569, 10865], [2723, 4314], [5185, 6667], [4818, 5153], [5566, 9742], [9136, 10611], [9079, 10077], [550, 8857], [423, 1168], [3628, 10018], [2721, 11034], [4030, 6800], [2879, 5204], [601, 5412], [3705, 4788], [9723, 11310], [7357, 8665], [6698, 9783], [1999, 11049], [841, 1866], [1907, 5044], [9434, 10426], [3615, 5245], [932, 11029], [834, 4078], [8089, 11216], [4453, 9727], [7125, 9446], [1829, 8544], [987, 8457], [3299, 10085], [1766, 8195], [6621, 10852], [4353, 9496], [8274, 11346], [3166, 4079], [6653, 9609], [3888, 6693], [2076, 5388], [240, 10105], [3681, 8874], [3939, 7412], [4835, 7735], [201, 10150], [4903, 6149], [3658, 4137], [1569, 4244], [4616, 10256], [4836, 8310], [473, 3109], [2809, 9295], [5443, 6278], [7605, 11345], [1504, 3068], [5389, 9425], [1091, 5373], [2734, 6677], [4358, 8685], [4203, 11026], [3974, 5312], [1331, 4079], [4204, 8218], [3975, 8166], [7342, 9430], [895, 11096], [2297, 10059], [2139, 6467], [7128, 8158], [3135, 4742], [7467, 8378], [6219, 6849], [5467, 7022], [3042, 11344], [2442, 3243], [3868, 4512], [2634, 3413], [6056, 8548], [2699, 7972], [4303, 4440], [546, 6374], [8144, 8216], [3414, 10169], [6363, 8476], [2313, 4526], [5798, 6977], [786, 3582], [9562, 11095], [4273, 9112], [7110, 7178], [4711, 8557], [8260, 8549], [9272, 11521], [7167, 11095], [591, 5743], [4230, 5251], [3012, 8849], [2177, 11431], [5078, 7038], [9496, 9694], [6745, 11402], [86, 10711], [1342, 8351], [6039, 6258], [3078, 5682], [177, 10829], [3697, 5919], [1546, 11564], [780, 5615], [235, 1385], [1055, 1124], [10356, 11491], [8360, 8379], [454, 6384], [1023, 8756], [8117, 8621], [8337, 10839], [273, 1088], [5706, 6233], [7106, 8533], [9131, 10885], [7522, 8411], [2073, 4261], [5302, 11253], [1549, 11431], [3187, 10893], [6024, 8205], [6862, 9304], [6337, 6450], [5496, 11469], [5605, 5777], [1778, 3562], [1401, 7022], [93, 1278], [4800, 11207], [650, 8551], [2732, 5021], [1985, 10456], [7688, 11490], [1308, 7962], [1189, 6550], [2544, 2691], [3820, 9651], [186, 4071], [10361, 11030], [991, 9194], [1853, 4271], [2391, 11494], [1696, 6539], [3819, 9426], [7616, 9520], [2069, 8999], [2576, 11247], [9425, 10527], [4623, 10914], [6925, 9602], [4459, 9759], [2403, 5842], [4772, 8004], [3810, 9313], [1195, 2958], [231, 9856], [3309, 11017], [8510, 10901], [977, 7202], [537, 1268], [693, 8197], [3585, 3718], [472, 5754], [1841, 6489], [1908, 8465], [8506, 10378], [5, 4790], [6696, 9900], [6226, 7507], [871, 7156], [618, 2546], [9057, 11420], [3756, 7922], [1118, 7033], [1954, 7305], [180, 8736], [1515, 10641], [4044, 7800], [7304, 10695], [3259, 10499], [2951, 6182], [3322, 8569], [1266, 3898], [825, 6407], [1138, 4652], [5372, 5501], [3710, 7173], [4964, 10402], [2197, 7413], [5953, 10916], [3625, 4591], [1317, 10252], [2497, 10334], [3937, 9781], [3302, 9041], [9499, 10610], [3584, 5721], [190, 6017], [1069, 2953], [2024, 4637], [5568, 11455], [2896, 5320], [1249, 1608], [1493, 8384], [7126, 8679], [3918, 5193], [4933, 7682], [6970, 10768], [5962, 10978], [3720, 10843], [3092, 4104], [6648, 8273], [1070, 6187], [913, 7701], [3385, 11496], [7048, 9146], [5238, 7914], [7141, 8556], [3712, 6414], [4514, 11239], [156, 6382], [6159, 6954], [1584, 4314], [2733, 9247], [4954, 9259], [1869, 6927], [959, 4262], [314, 1306], [2392, 2538], [4759, 8037], [4841, 10321], [8549, 10343], [7840, 9846], [2293, 5161], [2272, 10700], [1355, 4612], [7273, 7520], [2220, 3370], [6392, 9757], [6863, 9342], [791, 5967], [4244, 6251], [5775, 7314], [5274, 9772], [2165, 7046], [6862, 9117], [1504, 7337], [1592, 7184], [5867, 10286], [2280, 7558], [7192, 10749], [4083, 4613], [2505, 3704], [3024, 8241], [4679, 8808], [5336, 7617], [1305, 7127], [2458, 3134], [1499, 10376], [1753, 5008], [1058, 10633], [4022, 9972], [4674, 5431], [2202, 2390], [8676, 8963], [535, 7825], [3042, 9197], [4005, 5080], [5659, 8428], [5633, 7207], [7436, 10678], [1056, 10156], [2921, 8089], [6739, 9060], [3511, 11338], [791, 1779], [4001, 4557], [2982, 5332], [6177, 7078], [6402, 9640], [8513, 11012], [3995, 4742], [1166, 4285], [3026, 4880], [3209, 7216], [5941, 10369], [6466, 6807], [7498, 11155], [1738, 3171], [617, 11583], [5362, 11416], [3019, 4059], [5412, 10779], [6163, 6217], [2109, 4023], [3578, 9126], [9400, 11572], [6181, 6796], [6781, 8481], [3450, 3464], [1702, 3864], [1299, 1939], [6488, 10888], [6180, 6571], [172, 5655], [3778, 8433], [4836, 7586], [507, 1215], [300, 4120], [161, 3961], [322, 11234], [2960, 5707], [296, 10013], [2435, 2853], [6077, 10206], [354, 569], [4012, 4291], [5383, 8105], [904, 5173], [3977, 5236], [10050, 11465], [9150, 9488], [191, 9438], [5628, 11319], [30, 5548], [5346, 9354], [5843, 10160], [34, 7919], [4287, 6566], [853, 4080], [1417, 6108], [1695, 1888], [7856, 7964], [2004, 2643], [4371, 8142], [14, 6893], [5153, 5899], [7386, 8200], [5576, 7722], [1247, 3603], [2924, 8655], [3345, 4713], [974, 5888], [7329, 11049], [2928, 5364], [3779, 10832], [3086, 6704], [190, 11441], [3268, 6186], [5198, 5268], [1588, 10662], [5033, 6921], [4268, 10996], [3427, 3964], [5008, 8554], [6539, 10371], [3640, 5011], [1238, 6873], [307, 3331], [3564, 5955], [1420, 1437], [5907, 6896], [1301, 4189], [611, 10158], [4033, 11129], [2015, 3532], [2642, 9292], [9113, 9932], [4075, 7568], [8736, 9982], [9522, 10891], [1506, 11010], [1631, 9958], [1538, 6761], [1975, 3352], [982, 5348], [1133, 8927], [7384, 8103], [4247, 5581], [7387, 7620], [1532, 9198], [69, 5795], [2691, 6151], [1870, 8439], [3253, 7352], [4332, 5130], [1410, 10898], [4082, 10617], [7038, 10095], [1333, 2572], [6268, 7410], [248, 4979], [2584, 11165], [3090, 3389], [3730, 10165], [679, 7417], [7103, 8211], [2120, 3302], [2077, 6638], [7838, 11060], [3320, 4790], [3793, 4448], [4942, 9381], [3479, 8984], [1084, 5601], [3167, 4925], [455, 8059], [3497, 6557], [5799, 7497], [1387, 2377], [2347, 4405], [1755, 4493], [504, 7951], [5827, 6512], [849, 8363], [1534, 2804], [749, 4749], [250, 3870], [346, 9994], [2242, 3830], [1758, 7393], [2121, 5001], [7255, 7827], [412, 5329], [7375, 8683], [1643, 6130], [863, 2003], [6809, 6959], [3887, 6311], [4662, 6307], [858, 5042], [2236, 3611], [2413, 5001], [487, 6792], [2973, 3123], [4003, 10808], [2575, 6460], [4930, 10444], [5367, 11199], [6590, 7945], [4780, 7467], [7013, 10522], [9659, 11272], [907, 1901], [72, 4483], [10130, 10857], [2591, 3960], [2250, 3667], [3432, 10992], [8573, 10825], [1811, 7003], [257, 3482], [2309, 10663], [2240, 6362], [5039, 7354], [383, 6038], [1056, 4626], [376, 4867], [4641, 10691], [7351, 7484], [5138, 11497], [2433, 2970], [1148, 1182], [6727, 10286], [5406, 5835], [1622, 10864], [5631, 8397], [8160, 8562], [8151, 10728], [3760, 9895], [2571, 7815], [5074, 6759], [7247, 9763], [1573, 6434], [3159, 5706], [7047, 11580], [4528, 6441], [6835, 7725], [4624, 6149], [7389, 9065], [3939, 6046], [6079, 8910], [2591, 9571], [9228, 11412], [2683, 6127], [4641, 6503], [3400, 8397], [8257, 8471], [7875, 8177], [4329, 5450], [2085, 7898], [5290, 10332], [3800, 5106], [7972, 11493], [367, 6228], [3827, 7683], [2139, 8134], [456, 2513], [1982, 3986], [5132, 6713], [3167, 8576], [1400, 4762], [6618, 8033], [2516, 7303], [4854, 7900], [2180, 7354], [2431, 11137], [5991, 11318], [2608, 10275], [5841, 8341], [2880, 8519], [4626, 11456], [3630, 7519], [550, 5531], [9853, 10309], [710, 3534], [5175, 6036], [9761, 10720], [573, 10618], [4409, 9886], [2938, 8874], [3216, 4654], [1786, 10059], [785, 860], [1621, 5296], [4965, 11272], [10208, 10658], [41, 3560], [2061, 5568], [3427, 9038], [8315, 10677], [8685, 9456], [1309, 10659], [5758, 8464], [7038, 9908], [5173, 5559], [2463, 3104], [7636, 11520], [2332, 4341], [6600, 10436], [5822, 9388], [7878, 11053], [532, 7934], [8214, 10221], [3656, 4552], [4973, 8480], [9238, 10140], [5685, 10406], [45, 9694], [4154, 5179], [418, 7990], [602, 10551], [4211, 9096], [2370, 9305], [5701, 7906], [9073, 9514], [1511, 7329], [3157, 6652], [7226, 9154], [4793, 5287], [2774, 3881], [2459, 4809], [6873, 10729], [3018, 9876], [1151, 8864], [3291, 10974], [4683, 6997], [8177, 9534], [3033, 4522], [2661, 8326], [5157, 6099], [109, 3047], [4061, 11380], [6148, 8194], [6499, 9175], [2508, 11467], [913, 1529], [1200, 5723], [238, 2114], [5835, 6916], [6337, 7312], [1506, 2797], [5179, 5299], [2190, 9845], [4306, 7397], [2281, 9209], [3000, 8896], [505, 9813], [10718, 10840], [1964, 7058], [1783, 11184], [2192, 9137], [4546, 10267], [6041, 9421], [4946, 11140], [8399, 11424], [2932, 6668], [1461, 5656], [3024, 9640], [6403, 10941], [584, 8766], [747, 9696], [2476, 4358], [6066, 11521], [1587, 10841], [897, 10394], [1076, 5441], [1395, 7638], [5686, 9021], [4277, 8887], [6245, 10705], [6333, 6388], [792, 2649], [7326, 7775], [4585, 6007], [1027, 1765], [2558, 6992], [1190, 2695], [3841, 8707], [7685, 8647], [6301, 10233], [5937, 8266], [6, 2090], [3643, 11351], [1023, 1242], [842, 2362], [4231, 11521], [57, 5061], [8401, 10665], [5163, 5839], [11038, 11329], [8617, 8977], [2865, 8024], [2447, 5067], [2261, 6597], [2629, 4549], [6594, 6671], [9163, 9675], [732, 4826], [5220, 8975], [6923, 8832], [7107, 11393], [2749, 6536], [3679, 5689], [878, 1618], [1652, 6674], [1619, 11452], [5764, 6594], [3176, 5068], [3308, 7439], [7437, 9992], [243, 4261], [1838, 6248], [3708, 10941], [620, 3430], [3973, 5762], [5093, 5793], [2135, 9652], [2979, 8287], [2696, 4966], [2627, 2917], [1732, 5448], [7554, 7894], [4347, 4633], [7643, 11349], [2125, 5150], [10750, 10996], [5640, 6312], [7264, 8320], [10068, 10410], [3585, 6003], [5080, 5157], [1938, 2291], [7758, 8074], [5289, 8714], [4456, 7959], [5269, 11445], [2343, 6891], [378, 9508], [4196, 10479], [4726, 6507], [8922, 11036], [338, 5945], [4565, 4869], [1856, 10186], [1135, 3256], [2635, 2754], [8832, 11493], [1601, 2497], [6089, 6646], [7049, 8674], [2011, 10474], [9012, 10148], [8917, 11042], [1593, 1855], [572, 7465], [1534, 4658], [1066, 2338], [1845, 8492], [5520, 7657], [4675, 9551], [6772, 7053], [2663, 11568], [3155, 5614], [4218, 5111], [5646, 9459], [3277, 7297], [1654, 1727], [3491, 4782], [3613, 9875], [2641, 6332], [805, 6885], [4736, 10177], [10204, 11371], [6591, 7422], [746, 3272], [4706, 11466], [4455, 7683], [188, 4442], [2180, 10818], [2392, 2595], [2827, 8939], [361, 6090], [1517, 5778], [4287, 9038], [7303, 8567], [1634, 7117], [9302, 9698], [1118, 5480], [793, 5720], [768, 7353], [3724, 6831], [7423, 10554], [7304, 9142], [945, 6491], [4468, 7514], [3563, 9357], [4218, 7339], [610, 3734], [1544, 10957], [8450, 11525], [7041, 7227], [9382, 11505], [4490, 6714], [6974, 8634], [9780, 11551], [8526, 9076], [4150, 9275], [1559, 1816], [5731, 8203], [2656, 6559], [3427, 6436], [3730, 10409], [3831, 10461], [1651, 11204], [3948, 5384], [1771, 5644], [4942, 6242], [4128, 10455], [3725, 9284], [308, 2241], [4514, 7458], [6962, 7469], [4653, 9522], [2199, 4778], [2451, 5753], [5708, 8377], [1258, 10347], [10308, 10515], [3682, 6554], [5645, 7274], [734, 11101], [3308, 10285], [545, 1780], [691, 8021], [4627, 10903], [1195, 2828], [1310, 3340], [5678, 6633], [6170, 7095], [2809, 9783], [2597, 11590], [6140, 8384], [2150, 4485], [6687, 8553], [6814, 10580], [1421, 7493], [989, 1420], [3851, 11062], [5530, 6361], [6995, 9056], [5777, 6238], [3696, 6206], [4501, 11329], [3663, 3814], [9506, 11301], [5246, 9985], [3162, 4020], [290, 2735], [2074, 2746], [2387, 7407], [6640, 7552], [3371, 7577], [5611, 7639], [1323, 10691], [5242, 9462], [7360, 7841], [1319, 6785], [2212, 7591], [5666, 10729], [8728, 11357], [721, 2140], [4045, 6740], [2004, 10271], [1035, 3993], [6821, 10946], [1680, 4697], [8345, 8586], [2488, 9337], [7273, 7845], [2925, 3676], [7305, 10012], [2268, 4840], [1112, 2146], [3479, 4235], [1954, 6370], [2014, 10585], [7611, 10469], [6145, 9801], [5716, 7409], [325, 7401], [4461, 4709], [3807, 6171], [2759, 8460], [5592, 9036], [5399, 8641], [2839, 9917], [8599, 10731], [3711, 9846], [2555, 3742], [6739, 10890], [2005, 8937], [2463, 4153], [3578, 3840], [1246, 10605], [9398, 9623], [5265, 9580], [3589, 11546], [1562, 8367], [4040, 5591], [1968, 7557], [4291, 9374], [2031, 11289], [7342, 11341], [8930, 10686], [623, 8347], [5657, 9057], [3611, 6582], [2136, 8080], [1893, 8322], [6805, 8103], [1827, 3538], [5932, 7949], [8353, 11055], [390, 8526], [323, 6550], [6053, 10161], [1880, 10719], [4686, 8718], [7790, 8848], [204, 2105], [2096, 11283], [46, 10564], [877, 10492], [2465, 4175], [2936, 6012], [1561, 4708], [2366, 9831], [3852, 4735], [5567, 8359], [811, 6839], [3669, 5782], [7215, 8509], [276, 8932], [2141, 7619], [5258, 7954], [2517, 10350], [1765, 1855], [1419, 7634], [7387, 9905], [1876, 9041], [8543, 9593], [1070, 10863], [3752, 4854], [1412, 3430], [3065, 10340], [1532, 8450], [916, 3980], [1251, 5956], [7484, 10188], [4736, 11413], [2613, 5520], [6076, 6492], [7103, 10496], [3545, 6254], [6939, 9341], [2766, 9899], [5037, 9274], [2485, 9657], [8834, 9368], [489, 5791], [244, 10124], [2026, 8554], [4414, 9268], [3597, 6794], [6339, 7252], [3345, 11454], [7832, 10497], [5526, 5651], [1233, 8359], [5560, 10897], [1561, 2748], [131, 8153], [535, 8768], [299, 10181], [1476, 4330], [9682, 10000], [4859, 8756], [8809, 9846], [9934, 10221], [3671, 10284], [6938, 11344], [3803, 3987], [1894, 9165], [3358, 9006], [4841, 10809], [3609, 4121], [894, 2820], [3129, 6702], [3887, 5563], [1394, 1645], [6221, 8670], [2262, 10500], [5350, 5933], [6337, 9784], [4028, 8427], [1641, 11321], [1753, 5146], [2472, 4833], [3308, 5105], [826, 2477], [1409, 2303], [1281, 3057], [1633, 6892], [1926, 3761], [8718, 9677], [683, 4828], [1676, 3586], [2020, 3396], [2465, 8176], [1708, 8005], [4326, 10871], [8340, 9502], [2834, 8982], [9264, 9621], [6096, 6288], [7565, 10637], [3136, 9320], [1513, 8668], [6370, 7988], [11473, 11501], [10600, 11347], [5784, 7864], [3714, 5769], [8147, 10211], [1256, 3535], [1106, 6974], [2720, 7540], [944, 8898], [3251, 7930], [4653, 10303], [4997, 10867], [658, 6060], [107, 1985], [7008, 10877], [4551, 5862], [1339, 2257], [2746, 5728], [1810, 8258], [251, 7399], [1994, 10819], [130, 9324], [6539, 9086], [1341, 8719], [6503, 7177], [2520, 3695], [6506, 6694], [1838, 3109], [4412, 6457], [8926, 9575], [4297, 5164], [2867, 10569], [4479, 11062], [28, 6014], [2918, 7124], [3164, 4147], [2293, 7072], [1854, 10408], [2974, 8187], [8206, 9636], [2204, 11164], [3909, 7684], [681, 3546], [8728, 11438], [5591, 6664], [2974, 11570], [3960, 8403], [3304, 6786], [5991, 7537], [1559, 6703], [5764, 9066], [5545, 9702], [2565, 3414], [5455, 10940], [1343, 5358], [1719, 8089], [7531, 9847], [3329, 11165], [7807, 8210], [2824, 3301], [5483, 9174], [2274, 9250], [4976, 11063], [7216, 11125], [9210, 11158], [1679, 4876], [2921, 10000], [1765, 3896], [2594, 7161], [10231, 11183], [52, 6734], [1822, 7813], [4060, 4796], [5646, 6320], [4314, 8096], [3808, 10210], [1530, 7412], [8818, 10526], [380, 10922], [4874, 6972], [5646, 9703], [1902, 6237], [3297, 8193], [3236, 10169], [774, 5564], [6071, 11572], [2279, 5406], [63, 6492], [472, 10861], [3144, 10580], [159, 6200], [5945, 6737], [5191, 11001], [8776, 10650], [4041, 5843], [7750, 10254], [1797, 2629], [675, 1771], [3665, 6495], [4138, 9159], [4938, 7522], [4597, 7229], [1890, 8455], [88, 7838], [1583, 6992], [4713, 8343], [4749, 8000], [5520, 10129], [5144, 10781], [6460, 7718], [5993, 9006], [1, 1453], [3524, 9646], [5451, 8457], [5820, 10017], [9223, 10938], [6914, 8827], [407, 6278], [503, 5986], [4179, 8005], [2299, 2624], [7252, 8822], [2646, 6115], [7135, 7483], [7726, 7924], [1918, 2932], [9214, 10071], [6468, 7959], [3290, 9600], [5850, 9078], [7776, 10670], [2454, 6295], [4725, 5670], [2853, 4314], [2010, 2871], [4788, 9402], [3787, 7373], [2352, 6018], [4437, 8421], [3353, 4637], [3561, 4586], [2344, 5376], [7868, 10609], [1134, 8835], [1970, 9107], [6046, 8616], [6732, 11573], [4314, 6486], [3989, 4474], [4265, 10007], [3210, 10371], [1121, 4062], [7070, 8535], [5826, 6748], [2015, 8476], [991, 8153], [4356, 8590], [5199, 10033], [6123, 10152], [242, 6345], [2609, 5428], [5716, 11491], [9026, 9969], [6531, 10886], [8520, 11329], [1385, 5047], [961, 9415], [4975, 11456], [3624, 4884], [3170, 10541], [701, 11181], [5961, 6010], [3065, 6583], [1969, 11110], [6482, 11374], [4522, 9417], [4969, 10860], [203, 10904], [2930, 3914], [1099, 8975], [9557, 11483], [6858, 10318], [6820, 9834], [445, 7404], [787, 10551], [6036, 6719], [7102, 9897], [3740, 9731], [8391, 11457], [3611, 7631], [7618, 8501], [4378, 9264], [1329, 7343], [7898, 11524], [1394, 8492], [1605, 6460], [612, 1286], [3129, 4100], [1890, 2657], [5488, 5574], [7141, 8320], [1389, 4361], [2113, 10808], [3381, 10737], [1752, 9139], [8572, 9933], [2264, 4561], [4530, 10008], [3821, 4593], [2004, 9360], [3740, 5193], [4249, 7514], [264, 7369], [2649, 3648], [5080, 7442], [2874, 6210], [4274, 8510], [9786, 10730], [1073, 2785], [7258, 9255], [6076, 8346], [6330, 10148], [3928, 11256], [432, 1476], [1061, 4653], [8305, 10878], [10242, 11131], [1830, 4834], [1296, 10562], [4652, 6749], [7929, 9251], [9376, 11397], [1659, 11553], [10657, 11531], [6703, 7289], [3633, 10907], [10438, 10669], [1627, 6353], [1107, 3843], [412, 9468], [417, 3396], [2557, 10424], [4270, 10969], [4865, 8146], [10439, 10490], [105, 11388], [4178, 4964], [1903, 8099], [2457, 9439], [781, 7995], [4074, 10276], [4048, 9055], [11050, 11583], [8068, 10884], [4823, 11303], [2115, 3259], [7469, 9801], [67, 5619], [3484, 10410], [4198, 8999], [3969, 9701], [956, 9689], [987, 2586], [7019, 8060], [9768, 10443], [3541, 10163], [793, 11388], [2348, 8341], [9137, 10576], [2234, 7273], [4911, 7336], [3003, 6323], [6086, 11238], [5458, 7505], [3911, 5909], [1043, 2114], [382, 6569], [506, 2663], [43, 687], [4772, 7931], [4020, 5852], [2427, 3911], [1716, 4085], [752, 4567], [6822, 11279], [690, 1437], [8809, 10895], [3112, 7397], [2365, 5662], [1902, 4440], [4577, 10092], [1370, 6831], [1991, 3731], [2015, 8289], [4101, 7130], [4543, 8229], [5941, 7450], [6873, 8184], [3545, 6848], [3468, 4184], [2855, 5647], [49, 3484], [2327, 3276], [9262, 10998], [5315, 7927], [652, 11102], [5311, 10437], [8855, 10839], [9142, 10115], [2496, 4024], [4247, 7305], [3192, 6171], [358, 7622], [45, 2961], [6977, 11166], [6672, 10530], [946, 1376], [5114, 10273], [417, 1786], [3085, 10431], [7658, 10746], [3893, 7157], [1546, 8726], [3849, 6104], [1767, 3218], [4943, 11330], [3549, 5812], [1053, 8012], [2794, 4189], [8585, 11486], [1608, 5790], [18, 7530], [491, 3024], [3590, 5062], [4219, 5233], [2194, 2881], [513, 1093], [4709, 11284], [5765, 7358], [6771, 10485], [107, 9450], [2598, 6879], [4488, 6562], [1150, 10200], [2277, 4986], [1810, 6274], [2395, 2763], [1402, 4759], [2732, 5566], [1121, 8681], [307, 6478], [5528, 7014], [1711, 8897], [5286, 10864], [1523, 9600], [2113, 6433], [7271, 9653], [857, 7295], [206, 6022], [1820, 2424], [3972, 6803], [6093, 8863], [7984, 8771], [8075, 8135], [1375, 5191], [943, 5534], [946, 9215], [1034, 5652], [686, 8352], [2993, 9636], [4897, 6743], [5513, 5551], [7047, 8043], [220, 6078], [2535, 11387], [7468, 9793], [10704, 11540], [7505, 8894], [2452, 8908], [8064, 10578], [4272, 4412], [8191, 9599], [4576, 11239], [10604, 11309], [1354, 10329], [5409, 8961], [3100, 6850], [9729, 11082], [4104, 9150], [4412, 7051], [2170, 6162], [1010, 8984], [1149, 6110], [5965, 9593], [5461, 8370], [1202, 9154], [6116, 9762], [7668, 9450], [5269, 11583], [2385, 7255], [5360, 10947], [1700, 7152], [11342, 11396], [5148, 6338], [3180, 5274], [5803, 8484], [8251, 9249], [474, 2938], [5730, 8945], [1382, 4776], [436, 6618], [1026, 3451], [260, 8836], [3116, 11116], [10994, 11063], [4294, 8119], [6565, 9746], [7535, 10210], [3017, 3940], [1581, 11028], [2395, 4536], [400, 10694], [3287, 8123], [6733, 11400], [3567, 8140], [4305, 7877], [1326, 10859], [47, 3601], [5859, 7611], [984, 10341], [912, 8775], [700, 10582], [2125, 4833], [4365, 9059], [3219, 3643], [6763, 9707], [223, 11182], [5168, 6939], [9130, 9544], [3242, 8730], [4016, 8124], [1533, 4140], [5299, 9085], [3396, 6164], [3573, 6800], [2487, 6353], [4703, 6021], [4050, 10337], [2636, 9859], [114, 285], [1094, 10859], [8709, 9672], [1364, 6024], [703, 4063], [2850, 7344], [8299, 11494], [5413, 10503], [2194, 5727], [143, 2154], [3888, 8474], [3224, 9248], [309, 9771], [304, 9427], [423, 5177], [5039, 7818], [323, 7225], [2174, 8458], [8609, 9441], [1049, 1667], [10137, 10987], [3193, 7683], [5097, 5544], [6776, 7259], [3722, 4240], [6994, 8650], [3931, 8551], [2719, 11183], [8223, 8624], [131, 7405], [3455, 5589], [9091, 11063], [1433, 2754], [2188, 8514], [4961, 9039], [6943, 7557], [7168, 10119], [7096, 8553], [6756, 11114], [9208, 9369], [6534, 6571], [3726, 6991], [1233, 3073], [7099, 11453], [1210, 1369], [4762, 11458], [4846, 10405], [7891, 9174], [2606, 9562], [6897, 10945], [674, 1739], [2871, 4383], [942, 2493], [3159, 11431], [7329, 9821], [8633, 10161], [9094, 10556], [2680, 4034], [1382, 5394], [8622, 11500], [3309, 4959], [9726, 10998], [5237, 9630], [2718, 10907], [10215, 11162], [3895, 7685], [3606, 7582], [1520, 11343], [954, 6236], [3906, 8224], [8541, 9417], [2080, 3049], [4150, 4420], [2907, 5487], [4094, 10904], [290, 9639], [6676, 8451], [984, 10959], [6736, 8502], [3286, 5483], [2868, 9696], [1096, 5538], [5731, 6731], [3396, 9815], [636, 827], [5670, 8707], [42, 3094], [2688, 8008], [4453, 8743], [2429, 2829], [340, 3690], [7347, 10726], [4083, 6931], [4205, 7860], [461, 5148], [4201, 4708], [6869, 6937], [4940, 11463], [8615, 9874], [5721, 11274], [8297, 11285], [2168, 7376], [2794, 11036], [461, 8531], [5991, 6439], [3035, 6961], [1796, 5518], [3936, 6130], [2793, 10811], [6583, 7482], [1013, 6011], [1223, 2623], [300, 10276], [7819, 8627], [5332, 7907], [1632, 11129], [4268, 11191], [6260, 11151], [350, 6606], [4169, 8179], [4105, 6474], [225, 4625], [1894, 5652], [6718, 8996], [118, 10420], [1582, 10261], [1207, 4722], [3886, 5612], [6250, 7430], [1429, 7013], [6067, 7723], [1057, 7407], [5967, 10525], [5669, 11060], [6497, 7307], [991, 6787], [6259, 8647], [7276, 11209], [1207, 8105], [7334, 8181], [5534, 8391], [2081, 2445], [1370, 2619], [525, 5267], [3195, 10575], [2887, 10422], [6151, 10053], [4473, 11192], [8981, 11112], [1672, 7121], [2257, 10026], [1770, 3492], [5524, 6922], [4197, 9796], [4524, 5495], [1824, 10144], [3968, 7492], [3878, 10982], [5081, 6352], [3279, 9899], [4550, 10099], [3526, 4114], [10458, 11565], [1989, 4734], [3389, 7034], [4149, 6722], [1473, 9513], [2361, 9975], [1406, 1875], [4920, 5064], [1654, 4606], [3910, 9365], [9183, 10815], [682, 5227], [4039, 5049], [7099, 11266], [3202, 7558], [2145, 5597], [7186, 7478], [3747, 4648], [1763, 2297], [7523, 10281], [28, 10072], [2633, 8569], [673, 4360], [1664, 2291], [7398, 8300], [3905, 5207], [5639, 10793], [2187, 6947], [2469, 10043], [1225, 8256], [1013, 10817], [3220, 7733], [138, 9836], [1442, 10176], [1368, 7783], [2646, 8400], [6383, 8443], [6603, 10661], [5799, 8392], [1098, 9585], [439, 9949], [6355, 9778], [2546, 8169], [2448, 5382], [1740, 9991], [10471, 11345], [3501, 6820], [3695, 10069], [4657, 6508], [2074, 6080], [5928, 6708], [4811, 6194], [2130, 8641], [917, 6167], [517, 8677], [2563, 5490], [4488, 10644], [8603, 9327], [3710, 7344], [5200, 6154], [1688, 3011], [631, 8964], [3616, 7682], [5460, 11154], [2712, 5963], [196, 6757], [5178, 11441], [65, 824], [1749, 9299], [8127, 9748], [1658, 3519], [1131, 10418], [3450, 9083], [4816, 9547], [3321, 3977], [4203, 11010], [1521, 4187], [4351, 7498], [10484, 11526], [524, 2277], [10482, 10699], [1826, 8206], [7767, 7900], [5437, 11328], [5129, 11175], [8432, 10734], [9146, 9323], [9294, 9975], [5025, 10825], [765, 2339], [1785, 11588], [8980, 11505], [6085, 9270], [11071, 11444], [1844, 4998], [502, 6840], [2900, 7488], [3409, 9809], [1914, 4239], [1874, 7092], [5611, 7135], [79, 7646], [5265, 6498], [6610, 9091], [4919, 5861], [1343, 10839], [1561, 5814], [7163, 10206], [1432, 3714], [1626, 3957], [2997, 7771], [2954, 11107], [6197, 9861], [1084, 6414], [3332, 10501], [586, 5383], [780, 2216], [3574, 10034], [1836, 11122], [1433, 9951], [5103, 8018], [4857, 5333], [3792, 5009], [4015, 10908], [916, 11152], [1795, 8088], [3980, 7689], [960, 10670], [3293, 10923], [3298, 11267], [421, 10392], [3229, 6966], [1511, 5296], [986, 2442], [3775, 9916], [1719, 5999], [5860, 10067], [4832, 8844], [4426, 8156], [4209, 9619], [5926, 7654], [6420, 8943], [3625, 9568], [1776, 3500], [3933, 7469], [3331, 9121], [6326, 8527], [2401, 6154], [9185, 11455], [6599, 10756], [4171, 7233], [2705, 6565], [3269, 8593], [4222, 10204], [5564, 6110], [3635, 10636], [7148, 10971], [2296, 4825], [3784, 9978], [205, 11275], [6552, 9405], [3966, 8706], [6805, 7599], [4191, 11268], [4496, 5488], [4862, 7531], [7790, 11377], [5408, 8199], [2313, 5933], [4212, 9112], [2630, 10713], [1073, 4265], [2286, 4487], [758, 9357], [4588, 5427], [1410, 7068], [3117, 4415], [5698, 8153], [8213, 10140], [2614, 9429], [2999, 9240], [10709, 11323], [8739, 9432], [1813, 10841], [7816, 9915], [2176, 2787], [6317, 6855], [6812, 10998], [3034, 4538], [5497, 10499], [8330, 11075], [675, 6447], [3584, 5355], [2451, 11478], [5061, 10319], [452, 1679], [985, 4394], [4118, 5262], [2215, 8003], [3803, 10354], [3407, 9600], [2536, 11027], [7944, 8006], [4766, 9647], [915, 2120], [1942, 6124], [6908, 6922], [5113, 7476], [6231, 6680], [3455, 10021], [1252, 9060], [6632, 10407], [6878, 7430], [8999, 9490], [5637, 9324], [1678, 10400], [2650, 8281], [3944, 9431], [269, 4604], [3357, 5699], [4014, 8672], [934, 6684], [3611, 7501], [2910, 8393], [6626, 6805], [3999, 6105], [638, 8793], [1147, 4698], [1598, 5159], [3597, 6290], [7585, 9362], [3070, 9025], [9541, 9665], [5458, 8985], [334, 5349], [7832, 9993], [1665, 9764], [271, 10662], [636, 2681], [9813, 11292], [9128, 11189], [10005, 11462], [3305, 8518], [2515, 4457], [1716, 2532], [1241, 10375], [8744, 11199], [6250, 7056], [7691, 9357], [7066, 9305], [901, 9903], [11078, 11273], [2926, 5839], [2761, 4082], [10825, 10827], [247, 4949], [10596, 11529], [3789, 8688], [3916, 9961], [10356, 11288], [3589, 7122], [5489, 7493], [2249, 8256], [421, 7172], [7167, 9737], [541, 5022], [758, 3559], [2678, 8369], [1906, 9021], [7940, 8906], [125, 2865], [226, 9333], [4827, 5280], [2298, 5115], [5532, 6789], [10550, 11130], [2122, 6552], [7058, 10891], [8633, 9250], [1143, 2969], [862, 6891], [2374, 9432], [9134, 10175], [8225, 11118], [6637, 8767], [2540, 8381], [8199, 9897], [2691, 8550], [1385, 5885], [4339, 10952], [7737, 11529], [1003, 2585], [2375, 10007], [4245, 8284], [3994, 4501], [5425, 8366], [5260, 10773], [6698, 9393], [4358, 5717], [691, 11331], [2926, 10295], [3019, 7076], [9830, 10036], [6721, 8064], [1495, 5649], [5497, 6929], [27, 1902], [3946, 10095], [6683, 8711], [5411, 11292], [2264, 8082], [543, 6141], [7549, 10323], [1021, 6897], [3070, 9643], [3627, 8248], [6146, 7725], [6710, 9753], [5583, 8551], [1046, 2231], [4591, 11149], [1224, 6475], [4341, 4558], [6770, 6771], [1743, 2344], [2685, 10182], [3273, 10352], [10528, 11074], [7966, 8517], [1053, 1116], [2795, 10727], [558, 10936], [6189, 9650], [11318, 11378], [6665, 9579], [7522, 8476], [2635, 5527], [4870, 9409], [5229, 11005], [7459, 9625], [609, 10120], [4434, 5846], [6247, 10005], [415, 455], [6517, 11586], [856, 9997], [512, 10187], [2406, 3196], [4708, 8300], [1343, 7082], [7915, 8528], [1943, 2351], [5024, 9445], [630, 4931], [631, 7785], [6758, 8615], [8726, 10433], [5894, 6295], [7472, 7958], [2057, 9054], [2582, 5492], [2093, 9465], [70, 10192], [3741, 4697], [9317, 10874], [1440, 7365], [8398, 10375], [344, 5476], [8468, 8862], [374, 7570], [2014, 2941], [5539, 5545], [2388, 11261], [5000, 10929], [2756, 3551], [6747, 11058], [1797, 8541], [496, 5466], [1427, 2592], [711, 7340], [554, 3192], [1168, 4583], [5213, 8943], [3253, 6986], [3537, 6745], [9949, 10188], [3032, 5297], [1693, 10820], [5024, 5257], [2032, 3870], [5089, 10570], [4671, 7613], [1684, 6570], [846, 5471], [7568, 9894], [5613, 9035], [10315, 11450], [1310, 3885], [3240, 9383], [2120, 2936], [1161, 10178], [4863, 11166], [6468, 10488], [6569, 10540], [5253, 7187], [525, 3551], [1280, 2141], [3107, 6760], [4289, 7669], [622, 6867], [2045, 3701], [1303, 9480], [7158, 7902], [2268, 9573], [3564, 5134], [6399, 6537], [10158, 10311], [787, 10502], [145, 7063], [1217, 10086], [4641, 4714], [2841, 11340], [7321, 11464], [1530, 1915], [3926, 8906], [5708, 11500], [6735, 8334], [885, 4594], [3614, 4847], [7039, 9499], [3460, 4380], [3138, 8301], [3702, 10329], [6940, 8739], [4540, 7264], [2406, 8352], [617, 1581], [3297, 6079], [6031, 6676], [810, 5359], [1178, 9727], [1917, 3650], [7271, 10946], [2830, 10750], [76, 1607], [5122, 10248], [6035, 6768], [2599, 7619], [6647, 11496], [768, 2100], [2660, 4862], [2878, 10417], [5263, 6696], [8480, 10645], [1699, 2609], [10477, 10949], [7473, 8047], [353, 545], [358, 889], [1459, 2398], [5364, 10885], [5481, 11470], [722, 8521], [2191, 6454], [4582, 10095], [3233, 10766], [2708, 7912], [7415, 11425], [9032, 11508], [1675, 6345], [718, 7998], [2337, 9662], [6788, 8294], [5721, 7143], [7331, 10973], [3733, 8056], [6305, 10577], [4039, 9294], [8491, 11534], [4372, 4781], [3723, 10751], [6149, 7031], [1815, 2568], [7984, 9259], [1196, 10632], [2844, 6618], [4406, 6994], [7885, 8499], [982, 5950], [2907, 3934], [383, 4867], [1291, 6705], [5080, 6938], [171, 258], [2380, 5171], [314, 566], [4895, 4906], [1025, 5273], [5355, 5830], [5611, 9957], [2309, 3426], [3326, 5988], [2522, 10889], [6624, 9367], [2116, 3031], [4946, 10506], [6725, 9419], [3444, 3765], [4696, 10331], [3261, 4812], [6910, 8418], [2579, 8390], [83, 3420], [3596, 3755], [213, 9128], [920, 10710], [426, 10175], [3654, 7897], [1259, 4514], [2234, 7574], [1313, 10412], [506, 9380], [2036, 10972], [1255, 3991], [760, 9647], [3855, 4746], [118, 2451], [2083, 9633], [917, 2841], [449, 1275], [3776, 8802], [197, 10099], [1814, 4520], [2261, 5963], [1788, 3299], [396, 860], [5965, 9276], [2068, 5568], [3909, 10994], [1626, 7852], [6295, 8629], [908, 5357], [885, 10823], [2593, 11024], [10148, 11284], [5301, 10400], [602, 7502], [31, 2051], [2267, 4623], [2678, 4157], [2925, 10450], [2273, 6323], [4143, 6852], [1894, 9710], [4602, 4922], [1819, 7092], [4444, 11129], [9234, 9981], [8148, 11032], [1742, 8535], [6021, 8403], [4037, 6052], [6251, 11309], [797, 6815], [4004, 10076], [3772, 4845], [3467, 10625], [1977, 5399], [1747, 2493], [3131, 10676], [5187, 8177], [5, 6091], [1188, 10608], [5678, 8414], [2156, 3829], [1316, 9073], [4122, 4820], [2900, 10928], [5921, 11555], [5513, 10040], [5487, 8819], [4852, 7325], [688, 5717], [2574, 5281], [5724, 8008], [710, 10202], [4237, 6463], [2764, 11040], [9264, 10166], [4596, 6581], [4697, 7387], [5380, 10827], [3888, 11190], [2073, 10368], [5186, 7551], [3498, 8002], [4599, 7983], [6115, 8014], [1147, 10553], [9299, 9571], [10254, 11255], [1095, 3223], [9601, 9909], [6402, 10673], [2873, 11333], [2811, 10455], [3183, 3645], [2868, 4573], [8456, 11511], [2534, 5451], [328, 4219], [1285, 2566], [7730, 11407], [1909, 5399], [727, 4490], [2349, 9835], [1373, 2386], [192, 4331], [283, 3695], [5006, 7741], [1329, 5497], [4515, 7881], [38, 3864], [1211, 6939], [875, 11154], [2732, 5062], [92, 10516], [2169, 6642], [235, 3654], [522, 2930], [7089, 10448], [1421, 5436], [3950, 5601], [2138, 10712], [894, 8171], [4631, 8214], [889, 1411], [2570, 3953], [6131, 7712], [2239, 4348], [3846, 10913], [2190, 4486], [487, 8012], [2142, 4415], [955, 3162], [387, 10060], [2156, 8285], [1725, 5066], [1314, 4034], [448, 11467], [2470, 3722], [769, 10327], [3684, 6798], [4711, 6638], [2875, 11355], [2068, 9569], [8813, 11532], [4778, 7860], [908, 5975], [7759, 9088], [2556, 8377], [5605, 8046], [3063, 7619], [3553, 7254], [3274, 7839], [3417, 8147], [815, 6915], [1154, 6381], [10892, 11087], [7564, 9751], [4561, 9703], [9829, 10809], [6553, 9663], [4290, 7897], [4783, 11213], [2229, 2855], [238, 5749], [1451, 6725], [2129, 5657], [5797, 7061], [5187, 8795], [232, 5934], [1851, 6844], [3688, 5735], [8944, 9490], [6977, 11280], [4805, 9632], [4399, 8190], [9932, 10533], [2150, 6884], [7105, 7493], [2838, 4252], [6234, 10418], [2122, 4836], [4955, 9576], [2825, 3266], [4908, 9006], [1955, 2629], [3147, 9144], [3454, 9072], [515, 10729], [4596, 10582], [9362, 11292], [3749, 5987], [1825, 3687], [303, 10257], [3319, 9786], [5616, 10382], [11259, 11365], [4404, 10762], [192, 1566], [5231, 7538], [2562, 11500], [2531, 5771], [2037, 8646], [6051, 7277], [13, 9148], [130, 4071], [1909, 2984], [1038, 10073], [904, 7629], [5611, 10388], [9085, 11549], [1750, 8589], [5664, 7016], [1775, 9585], [2926, 8929], [5224, 6717], [3414, 5485], [3947, 8200], [5155, 8078], [953, 10150], [2857, 10263], [4691, 7385], [2449, 6496], [575, 10729], [4995, 10048], [6390, 9752], [4681, 11578], [3196, 10860], [5, 1716], [4405, 10182], [1884, 9878], [6832, 9316], [3059, 7364], [4463, 7154], [422, 10083], [326, 3959], [312, 5781], [4233, 7631], [7261, 9429], [4666, 10896], [3122, 8817], [3265, 4207], [7848, 9374], [5955, 9393], [191, 11089], [2864, 7246], [7559, 8490], [2358, 2944], [3008, 10408], [587, 8056], [866, 1055], [4948, 10178], [1020, 11321], [433, 7589], [5094, 10003], [7145, 7160], [51, 10705], [5930, 10275], [4712, 6703], [1859, 8858], [3497, 9818], [3063, 7082], [7586, 8034], [2386, 11004], [195, 6670], [5952, 8721], [3006, 9931], [785, 3503], [2531, 7194], [2340, 7626], [406, 11054], [320, 5618], [5729, 6205], [5426, 6396], [8258, 10534], [3585, 6605], [10615, 11181], [7156, 10328], [1957, 10490], [7929, 10251], [1807, 7513], [9217, 11556], [5413, 8039], [1896, 6050], [122, 5229], [5693, 11062], [963, 6599], [9261, 11104], [401, 10279], [5036, 5056], [3883, 9049], [2018, 8864], [4442, 10733], [4650, 11436], [2816, 6400], [1082, 10613], [4026, 8576], [2968, 3007], [2501, 4295], [4782, 10774], [715, 1959], [1755, 10332], [1196, 2232], [1323, 10675], [2682, 3552], [5445, 5641], [8815, 10586], [4054, 10974], [322, 4859], [1626, 10861], [4608, 5144], [747, 3345], [5079, 11145], [2271, 8155], [2049, 2858], [994, 3976], [1713, 7073], [1985, 5317], [2582, 3321], [6933, 11171], [3958, 7479], [1585, 7827], [491, 2601], [3457, 3521], [2514, 4126], [4910, 8865], [2412, 3849], [7470, 8343], [3227, 9660], [2757, 11431], [174, 10249], [6236, 6520], [5036, 10667], [387, 4880], [6555, 8717], [6056, 11248], [4459, 7653], [5959, 7151], [4708, 8357], [1721, 3150], [1667, 10461], [7259, 10001], [3189, 7274], [2752, 7273], [5861, 6993], [1100, 7381], [6418, 8604], [3269, 8731], [1927, 10573], [9060, 9612], [3088, 4189], [5660, 6710], [4214, 7418], [6227, 8255], [1683, 7180], [5451, 5782], [1702, 4978], [4852, 6951], [6495, 6757], [2921, 8398], [3110, 4887], [6260, 7614], [618, 10239], [1614, 5508], [4105, 9353], [6495, 10140], [2104, 11559], [2921, 5365], [6250, 10309], [2234, 10851], [5407, 8866], [1259, 1375], [168, 6246], [4037, 7906], [87, 7570], [945, 9321], [5967, 6988], [6937, 10458], [1289, 2715], [5676, 10222], [172, 7119], [4535, 5904], [2091, 7540], [5210, 8702], [3059, 7177], [509, 9141], [3272, 8224], [500, 11307], [10154, 10650], [316, 2330], [8998, 10962], [4525, 11228], [313, 2032], [1586, 9475], [712, 6467], [3384, 6186], [2921, 4210], [1057, 9131], [1986, 9594], [1182, 1663], [4352, 11458], [1668, 7972], [1513, 11067], [1769, 2362], [7961, 10003], [2853, 6900], [671, 6062], [2357, 2532], [3434, 5899], [8705, 10686], [2661, 2943], [618, 6401], [3780, 9919], [2474, 6500], [719, 6483], [1659, 10488], [7920, 10352], [2958, 6320], [760, 5703], [2647, 8121], [7910, 8883], [1250, 3086], [7155, 7287], [6827, 11363], [5922, 9042], [4546, 4884], [600, 11083], [2216, 2650], [409, 8105], [1001, 5765], [3791, 9677], [1774, 4934], [8957, 10506], [6810, 9854], [2222, 7726], [726, 8347], [8475, 10358], [9605, 11077], [3998, 4089], [8574, 10337], [166, 776], [5305, 10362], [4770, 6820], [1100, 1583], [6917, 10101], [3316, 3503], [3711, 10448], [3214, 3226], [5139, 8380], [1930, 8456], [3898, 10274], [500, 3281], [6687, 10578], [317, 4328], [2984, 3703], [6939, 11553], [2558, 11408], [2018, 7522], [2649, 10772], [4292, 6414], [1555, 8929], [22, 623], [5161, 6045], [1013, 4970], [5656, 10188], [3231, 10346], [2722, 8025], [330, 10575], [6517, 11456], [1536, 3210], [7518, 7823], [4400, 10269], [3166, 9170], [4157, 10511], [1812, 2327], [581, 11325], [8451, 11411], [3747, 5917], [2322, 7502], [6231, 8591], [9407, 10287], [5711, 10245], [2988, 3421], [4672, 4726], [2058, 9149], [5602, 8797], [5423, 7334], [4609, 10793], [3404, 8180], [818, 7481], [818, 1065], [3636, 7025], [895, 3005], [5915, 10425], [595, 9129], [743, 5617], [1171, 7784], [6090, 8736], [6408, 7325], [1606, 7712], [5445, 11415], [10393, 10853], [3970, 6497], [3125, 8391], [6060, 9998], [5905, 5923], [5117, 8351], [4903, 10085], [2003, 5254], [903, 5875], [4478, 7842], [164, 8919], [5489, 10559], [899, 2723], [1806, 10752], [1210, 9940], [5635, 7351], [564, 9011], [2949, 9454], [521, 5931], [1572, 1661], [2516, 9572], [2208, 5255], [546, 6927], [1433, 8642], [363, 1558], [3043, 6056], [481, 3499], [4004, 10938], [8789, 9446], [6244, 8748], [1607, 6728], [2192, 3217], [1930, 5691], [3374, 7509], [2911, 6287], [7258, 10231], [564, 4823], [5947, 10605], [7812, 8538], [2917, 6482], [5654, 6596], [9745, 11301], [3415, 3726], [1075, 6466], [990, 10300], [4732, 10687], [1052, 4762], [5871, 8516], [7612, 11109], [1012, 5363], [3599, 8916], [6092, 7172], [452, 10624], [5531, 8825], [2842, 7247], [2014, 11000], [4990, 7720], [4150, 9958], [112, 353], [910, 10721], [5516, 7012], [9843, 10304], [2381, 3065], [1126, 9033], [6105, 10790], [702, 6985], [1443, 8151], [2458, 10640], [3951, 8967], [3679, 4307], [5205, 9944], [5513, 10097], [878, 6652], [6197, 9975], [7030, 10730], [10087, 11014], [4545, 10837], [9558, 10670], [4761, 4985], [5869, 7665], [6496, 7763], [703, 3803], [1821, 9423], [8419, 11336], [8672, 9530], [7927, 9376], [3902, 9051], [5299, 7670], [2190, 5698], [2061, 2844], [1904, 11528], [8074, 9022], [311, 2417], [745, 8536], [3549, 10626], [2336, 8152], [1713, 8927], [2427, 8270], [6542, 6953], [5606, 9483], [3028, 8645], [4798, 10478], [400, 8474], [3858, 9102], [1673, 2331], [3443, 10580], [24, 2710], [1524, 2208], [4414, 10488], [2224, 3373], [6119, 10418], [3758, 8871], [1516, 7982], [10413, 11318], [1600, 6175], [949, 9820], [2230, 9954], [138, 6380], [195, 498], [723, 2869], [1093, 1648], [10556, 10845], [1216, 10349], [505, 11277], [541, 10934], [8375, 11363], [8349, 10142], [7516, 9387], [5233, 8497], [837, 7320], [1, 632], [8013, 10193], [91, 2777], [5856, 8853], [737, 7089], [936, 10682], [8004, 9326], [6996, 10290], [5631, 9674], [10574, 11020], [4688, 11033], [1517, 7429], [3849, 4047], [2166, 4842], [5132, 5762], [4373, 6676], [6685, 8304], [823, 8711], [10322, 11149], [205, 10584], [6055, 7908], [606, 4512], [363, 11170], [1602, 6197], [1788, 3169], [6715, 10398], [291, 9604], [4905, 9920], [8038, 10788], [2214, 5263], [845, 7911], [2333, 5894], [92, 8613], [6974, 10285], [7401, 10352], [6033, 6055], [5797, 7468], [66, 976], [3020, 10207], [1655, 10345], [253, 802], [812, 8902], [8535, 11190], [3461, 6917], [1369, 3343], [10183, 11340], [1675, 6833], [10959, 11561], [2739, 6932], [7775, 9223], [2316, 7768], [2484, 9796], [3380, 7867], [4283, 9361], [5110, 5383], [204, 9554], [6866, 9762], [6047, 6461], [4558, 8253], [1256, 1722], [6794, 10825], [445, 3200], [1307, 4693], [6503, 8397], [1401, 7738], [62, 9097], [1001, 11002], [2434, 9278], [3050, 11496], [5758, 6708], [2821, 11444], [6157, 10389], [677, 7680], [3134, 3273], [4009, 9889], [10191, 10426], [1946, 4801], [979, 5012], [2985, 3150], [1393, 4063], [3282, 9560], [6055, 9331], [2450, 9407], [1796, 10869], [1108, 4833], [6956, 8500], [7515, 10184], [6460, 10548], [6422, 7812], [3096, 7303], [8944, 10970], [205, 8974], [3279, 9639], [6795, 10245], [4273, 4835], [3212, 7636], [3301, 4675], [3397, 4383], [7836, 7916], [334, 6536], [3732, 7113], [4346, 8504], [2768, 7595], [6314, 10322], [2389, 10982], [1618, 8853], [9574, 10211], [1076, 10556], [10076, 11361], [4167, 9670], [586, 7888], [2731, 11096], [200, 3688], [5158, 10984], [5621, 5790], [8226, 10703], [2466, 2719], [289, 727], [5427, 5924], [7235, 10493], [5050, 10138], [687, 773], [3128, 5255], [3126, 8592], [1342, 9335], [10805, 11362], [1311, 9268], [4961, 10820], [880, 3797], [1248, 2503], [998, 1574], [2180, 2483], [1216, 7129], [4069, 5728], [2214, 6231], [317, 8760], [1462, 9787], [7405, 8056], [25, 1943], [6876, 8466], [1203, 5362], [4193, 10086], [1887, 5994], [202, 10126], [4094, 7074], [1255, 8935], [360, 11466], [6554, 9354], [3218, 10409], [2034, 8673], [2528, 2792], [5032, 11006], [6794, 8060], [1190, 7005], [5925, 6150], [1159, 5440], [1241, 1308], [3181, 7494], [72, 4768], [3925, 8177], [1220, 6066], [7562, 11022], [7658, 10730], [5, 6929], [5421, 10939], [2298, 10035], [2205, 3428], [7473, 8698], [6444, 11037], [1683, 11425], [3959, 10390], [6215, 8733], [2540, 3152], [3790, 8891], [2355, 3372], [708, 10994], [3313, 9491], [5713, 6802], [1611, 6072], [5460, 6356], [675, 2186], [6308, 8143], [1008, 8253], [1078, 8992], [8048, 11265], [2816, 5652], [1823, 7648], [696, 6446], [2263, 7166], [2251, 5651], [3749, 9240], [2904, 11134], [3007, 8603], [357, 10363], [1821, 10204], [629, 8607], [6079, 9195], [408, 6164], [7037, 10396], [432, 4306], [3052, 11005], [500, 9136], [2370, 8167], [4734, 9985], [3775, 10811], [3080, 9266], [3269, 5755], [6999, 11043], [3148, 7680], [1400, 8080], [8127, 8683], [7595, 9576], [3266, 5457], [7619, 7718], [145, 1216], [4591, 5920], [6562, 11419], [8730, 9915], [3938, 10990], [3666, 6330], [2565, 10513], [763, 9896], [9453, 9721], [854, 3598], [1110, 1309], [2937, 9338], [2161, 2701], [5550, 7696], [4562, 7784], [1288, 3301], [2712, 3743], [10373, 11569], [2033, 6838], [9531, 11482], [7602, 9592], [7848, 9244], [3018, 7583], [52, 1001], [4668, 7779], [7211, 11060], [4940, 6023], [5439, 6902], [2254, 8126], [11044, 11565], [6894, 9663], [7397, 11415], [6482, 8406], [1850, 6730], [3443, 7173], [1106, 9430], [1039, 8208], [2761, 6587], [2568, 6192], [1317, 7398], [5388, 6563], [4202, 8164], [2583, 7254], [10373, 10764], [3553, 3554], [1130, 10955], [67, 7294], [9008, 10902], [2814, 6598], [9896, 11364], [715, 6017], [10269, 10414], [2833, 4396], [5355, 7554], [6633, 8171], [1657, 7439], [602, 7803], [2356, 4996], [2703, 8487], [722, 6407], [2866, 3755], [1861, 4236], [3519, 5074], [4880, 7446], [1027, 10426], [3611, 8046], [3107, 6069], [9018, 11216], [4195, 10726], [575, 5606], [2796, 4864], [1612, 10298], [917, 8753], [5833, 6024], [4786, 11167], [674, 3333], [1260, 9092], [5243, 6158], [600, 9985], [8074, 10071], [939, 3035], [2033, 8261], [8196, 11000], [3428, 3801], [2748, 10458], [8758, 10703], [4866, 6585], [3988, 9093], [8563, 9481], [4366, 5481], [252, 3236], [3734, 10674], [3137, 4002], [3666, 9981], [4359, 7693], [4724, 6128], [519, 4519], [3576, 11219], [656, 7234], [3920, 4613], [2268, 7727], [1423, 9621], [3537, 4094], [5849, 9886], [3100, 8257], [5061, 8904], [3386, 8062], [1688, 7825], [1230, 6193], [1574, 6757], [4160, 4450], [6276, 9172], [8695, 10697], [1603, 5243], [513, 7306], [1483, 10022], [4706, 7400], [1695, 1799], [3909, 6302], [1469, 5428], [6355, 10404], [2933, 3017], [4106, 6846], [1879, 6989], [2987, 9669], [1029, 2123], [936, 1932], [4788, 5897], [8724, 9533], [808, 6850], [6472, 7956], [6969, 8762], [88, 3528], [4909, 8109], [1337, 3407], [213, 8892], [6563, 11457], [2862, 4655], [2599, 5773], [3013, 4824], [2753, 3207], [7331, 10282], [2503, 9448], [1453, 3740], [5685, 7926], [702, 5269], [3382, 9767], [883, 5280], [1755, 5209], [6132, 7864], [6574, 8963], [11188, 11531], [3112, 10845], [600, 1959], [3812, 5564], [4589, 8639], [7445, 10919], [2097, 7575], [5937, 10779], [3765, 9131], [1210, 3581], [1805, 4922], [2636, 11266], [5134, 9866], [63, 11526], [5290, 9625], [6501, 9774], [4634, 8008], [680, 10182], [4508, 9589], [3968, 5703], [1972, 2591], [1455, 10178], [8762, 11090], [569, 5655], [5426, 5729], [7891, 8353], [6650, 10247], [955, 2658], [3876, 5333], [6328, 7752], [6018, 9024], [3057, 9202], [758, 5527], [813, 5234], [130, 1794], [4854, 5688], [3437, 5636], [1775, 7308], [1472, 7499], [252, 3854], [8464, 9339], [5143, 9174], [9, 686], [959, 2026], [4954, 7023], [5317, 11047], [6662, 7224], [5734, 9615], [6037, 7172], [8965, 11018], [425, 11137], [678, 2915], [1149, 4752], [8277, 10617], [589, 3597], [453, 10152], [19, 7416], [6338, 10668], [395, 3731], [479, 1924], [4410, 5216], [7383, 8081], [2775, 9465], [9595, 10259], [2372, 7540], [1133, 10261], [1810, 9722], [534, 8397], [6876, 6937], [2022, 11298], [8061, 11527], [5946, 6249], [6202, 10376], [318, 636], [2893, 6838], [801, 3264], [7492, 8374], [3041, 7490], [2490, 9831], [9118, 11209], [9355, 10398], [7993, 10053], [8610, 8709], [2142, 5334], [1788, 4836], [3725, 7341], [1350, 11026], [7084, 11373], [16, 6313], [4186, 8867], [7830, 8719], [4119, 7645], [6693, 6829], [3778, 7352], [1963, 2366], [3406, 5494], [5959, 10217], [3112, 5047], [7408, 9026], [1596, 5016], [8686, 9643], [2497, 5683], [4173, 7881], [3061, 7711], [5919, 10818], [1493, 6766], [7589, 8283], [2585, 4749], [3397, 4627], [5069, 11587], [910, 10323], [4190, 8235], [10012, 10681], [614, 2633], [5130, 6578], [1186, 9440], [245, 10872], [6373, 11146], [169, 5400], [24, 9183], [4162, 9570], [244, 11401], [3358, 8055], [3561, 7660], [206, 2249], [5711, 8960], [5716, 9304], [1320, 10379], [6743, 6892], [2106, 9036], [2233, 11063], [446, 955], [1999, 10667], [3587, 5848], [2186, 4077], [5279, 6270], [5855, 11341], [7826, 10424], [466, 5744], [2193, 4467], [8750, 10543], [3717, 8523], [7785, 8171], [2305, 4708], [1028, 4693], [3646, 9811], [594, 1957], [2997, 9365], [1151, 9230], [2054, 4308], [7840, 11261], [3234, 8554], [1124, 10790], [739, 3809], [4947, 9853], [7001, 10691], [1495, 6007], [717, 9877], [6653, 9227], [1887, 9271], [6348, 8591], [2917, 10540], [5816, 8730], [7094, 10101], [21, 4697], [1757, 6946], [10721, 11504], [1765, 10971], [8391, 9270], [4067, 5495], [1176, 10576], [5844, 7745], [4378, 7077], [4054, 10925], [2288, 9965], [4796, 8529], [2650, 8102], [7006, 9880], [5240, 8920], [3898, 10762], [254, 330], [586, 9205], [586, 2789], [4491, 11276], [5329, 8211], [6502, 11286], [5972, 8088], [4265, 9243], [1658, 9919], [1307, 8938], [1178, 6084], [2241, 9745], [3564, 3719], [5750, 6928], [3162, 9566], [741, 798], [548, 6819], [6057, 11020], [950, 4355], [1103, 1187], [421, 4765], [6773, 10409], [667, 1788], [768, 8256], [42, 8152], [8817, 10559], [986, 3231], [4898, 8001], [10625, 11341], [2249, 6199], [6763, 9317], [3339, 8273], [2494, 10167], [2148, 3114], [4357, 7273], [2774, 6020], [4798, 11153], [2766, 5378], [3634, 7817], [6427, 11246], [2282, 7436], [5238, 6914], [477, 7302], [6650, 11483], [1612, 9119], [4752, 10404], [74, 6131], [9315, 10031], [6744, 10364], [1348, 3596], [4281, 7786], [1103, 3765], [480, 4540], [6849, 7155], [6162, 10389], [3274, 8571], [6075, 11144], [4080, 10886], [4197, 5055], [2829, 4922], [1484, 6466], [1262, 7585], [5317, 6217], [2540, 8202], [148, 10752], [2440, 11004], [3909, 11189], [1392, 6877], [1638, 3900], [1114, 10316], [2686, 4994], [2128, 6164], [4607, 6242], [6200, 8937], [3591, 6534], [2588, 7842], [1528, 7862], [1433, 4592], [4681, 7854], [1715, 7688], [6758, 10396], [1807, 4244], [6201, 8758], [848, 11486], [4663, 6524], [5845, 7433], [5007, 6334], [5041, 11580], [442, 4382], [11147, 11533], [1465, 3726], [7086, 8922], [1847, 3269], [4369, 6427], [210, 5163], [3721, 4671], [2934, 10707], [599, 7375], [1390, 8628], [2715, 4927], [4922, 6761], [8134, 10366], [2007, 7284], [2134, 9311], [3249, 8998], [2652, 4578], [3834, 5487], [3023, 6211], [3995, 4092], [3958, 4210], [1217, 6606], [1929, 10784], [1924, 4024], [2827, 6272], [681, 11507], [3983, 5960], [6930, 7604], [243, 9783], [1456, 5841], [3546, 8588], [4231, 6439], [6316, 9596], [2791, 10375], [4658, 5725], [3625, 9820], [1856, 10097], [767, 5215], [3150, 4831], [907, 10887], [4673, 5252], [287, 4763], [543, 2474], [3647, 9020], [8134, 9561], [696, 3470], [5352, 5540], [3958, 6438], [1288, 7546], [2598, 6920], [4016, 4164], [8274, 8817], [1625, 9568], [1150, 10241], [4147, 6310], [3758, 9009], [4194, 9539], [899, 4179], [892, 3008], [5711, 6008], [4134, 7953], [4062, 6387], [6020, 7517], [2852, 9846], [1416, 1473], [3662, 8897], [1543, 10293], [2746, 5663], [865, 7197], [2162, 6366], [1032, 11282], [5056, 8349], [2346, 5140], [10341, 10590], [3558, 8143], [10208, 11000], [2429, 10278], [2396, 8640], [2965, 11012], [3987, 7502], [2048, 11340], [3331, 5885], [7493, 11584], [4535, 4863], [1957, 8189], [868, 3307], [171, 1689], [8646, 10220], [7402, 8433], [3099, 5535], [9050, 10835], [6281, 11183], [88, 9733], [3156, 9452], [6425, 7929], [8288, 11451], [4934, 8894], [7606, 8613], [2274, 5802], [2377, 7435], [7640, 8197], [2874, 7487], [4090, 7980], [1972, 9601], [2094, 10530], [1657, 4113], [2708, 5505], [2240, 3939], [5225, 8319], [8592, 9583], [2563, 2872], [1250, 9616], [9937, 11422], [10081, 10420], [1241, 5366], [905, 5417], [2866, 10228], [6104, 8638], [5378, 8534], [10116, 10606], [4579, 10773], [873, 6633], [8648, 9111], [6251, 11317], [6060, 8339], [2484, 6901], [3607, 10613], [4570, 9906], [50, 9225], [2631, 3164], [2104, 10063], [573, 9000], [5580, 5635], [2132, 9078], [1791, 2369], [4524, 9911], [3270, 3272], [7889, 10348], [4334, 9787], [777, 8399], [125, 4272], [4924, 10003], [1686, 5177], [4234, 9556], [1746, 5228], [3482, 7477], [6433, 6611], [649, 10284], [1480, 3796], [7235, 11436], [2223, 8041], [2854, 11291], [8139, 9368], [4588, 6297], [3062, 5578], [2316, 7451], [669, 1487], [3618, 6210], [983, 9756], [1811, 6003], [6914, 8762], [8319, 11406], [50, 5387], [8511, 11576], [7631, 8753], [4573, 11250], [1624, 6527], [5734, 11282], [1364, 4910], [1718, 9572], [2831, 8432], [6654, 7495], [3118, 5456], [6447, 10400], [7658, 9795], [10108, 11387], [6071, 11052], [2298, 9100], [8337, 10083], [9636, 11577], [9801, 9924], [2201, 11419], [6807, 7710], [3782, 10347], [1631, 3160], [9758, 10227], [3870, 9413], [1511, 1523], [1473, 5203], [1256, 6666], [2656, 8966], [2863, 10198], [1631, 3510], [4575, 7889], [3274, 4814], [6911, 7659], [6477, 11339], [1434, 5625], [2430, 3900], [1466, 10798], [4924, 5010], [531, 9766], [4540, 8053], [3645, 4168], [7812, 9457], [2583, 8279], [5852, 6002], [965, 9469], [394, 10434], [34, 5927], [2173, 2931], [2415, 9634], [3134, 8567], [1546, 6970], [2265, 5903], [4852, 9456], [1705, 11164], [1483, 1703], [736, 4886], [5586, 9451], [3938, 7022], [5669, 8173], [253, 753], [1568, 11051], [2559, 8228], [2528, 6663], [3297, 5713], [1500, 3188], [2530, 6709], [940, 4285], [4484, 10349], [3266, 3367], [3601, 9507], [738, 6810], [2044, 3059], [2680, 6653], [4946, 5684], [3912, 7679], [7026, 7743], [703, 7755], [7812, 8652], [3392, 9333], [5726, 8276], [2894, 4892], [4902, 5385], [2641, 4446], [1895, 6319], [4756, 8943], [5706, 10283], [3727, 9030], [2638, 4148], [303, 7232], [6622, 10484], [2223, 5626], [4900, 5689], [2035, 5575], [1197, 4476], [8817, 10803], [665, 5369], [670, 5713], [7979, 9704], [2476, 8701], [7729, 8775], [167, 6590], [5308, 6423], [7133, 7963], [6639, 10838], [2441, 3984], [4182, 6577], [2181, 8783], [1694, 2249], [4339, 9944], [4520, 5818], [3186, 7521], [1906, 3825], [3139, 6951], [1533, 10410], [3450, 11539], [1345, 11113], [2897, 4385], [10132, 10147], [2324, 4523], [128, 11149], [8399, 11579], [4696, 11120], [1200, 7756], [3857, 9796], [8735, 10747], [5743, 9360], [4524, 8569], [6296, 6311], [1361, 5580], [3498, 8173], [6051, 6480], [550, 6304], [851, 3034], [5238, 10541], [3964, 10797], [853, 7244], [5175, 10192], [5462, 9468], [1680, 3266], [1528, 5878], [972, 7875], [2486, 5581], [1310, 1454], [1246, 10329], [8180, 8781], [492, 8177], [965, 3671], [4420, 4782], [994, 2911], [1458, 7741], [6186, 9125], [4627, 7512], [1055, 3564], [5628, 10295], [681, 879], [7365, 8982], [3745, 3862], [5892, 7897], [6991, 7051], [2249, 10899], [2450, 8903], [6176, 10285], [2788, 8898], [2750, 6162], [4763, 6999], [1621, 8297], [352, 8897], [3273, 11572], [1895, 6587], [5689, 7164], [336, 3476], [3739, 4397], [1591, 9559], [58, 6915], [1625, 8389], [3571, 8004], [4598, 4838], [7278, 9336], [8962, 11395], [4884, 8807], [3597, 3940], [1175, 7779], [397, 7485], [1608, 6880], [8354, 9445], [3306, 6393], [42, 2598], [3775, 11567], [4551, 11034], [7, 3543], [6427, 6847], [6446, 11061], [4106, 8139], [10212, 10344], [253, 10365], [1717, 10206], [3644, 9017], [874, 6511], [4019, 8894], [867, 5340], [6095, 7047], [8612, 9861], [4916, 10573], [2705, 11249], [3520, 4228], [3076, 7220], [1861, 10335], [1491, 4386], [3722, 4362], [5695, 6524], [5244, 8345], [1086, 9935], [2812, 11496], [8021, 8989], [6796, 11416], [6524, 6756], [1601, 9068], [362, 7625], [1759, 10408], [5515, 9747], [1256, 11285], [1535, 4284], [3904, 6446], [10001, 10817], [2066, 3920], [4335, 5851], [3177, 9500], [2585, 5424], [11169, 11269], [3795, 5348], [1450, 7744], [2551, 3561], [8710, 8810], [1332, 2770], [5936, 8814], [1077, 2251], [4963, 11462], [2697, 6769], [665, 7410], [5234, 10235], [1593, 10654], [2255, 9053], [2692, 9808], [3433, 6056], [2158, 2704], [3866, 9321], [2529, 5091], [593, 7692], [438, 4371], [5453, 11447], [4617, 4759], [2993, 3505], [7378, 10185], [7622, 10545], [4726, 11118], [1237, 2509], [495, 1872], [4605, 6627], [4567, 10307], [4192, 4768], [3939, 4322], [2617, 7540], [1727, 5527], [9636, 11203], [4438, 5174], [6318, 10555], [1078, 4300], [1766, 8838], [4305, 8967], [4129, 10431], [3651, 7423], [1688, 6703], [5891, 7485], [5612, 8070], [3831, 6078], [881, 4136], [872, 6302], [9779, 11080], [1713, 4666], [9185, 10341], [1678, 7863], [2425, 3182], [4518, 9610], [5700, 11273], [5284, 9143], [4637, 5360], [2460, 5620], [1080, 10388], [5342, 6115], [486, 9649], [6277, 6366], [1934, 2541], [1179, 1699], [2913, 9537], [4351, 8157], [6612, 6844], [5560, 10889], [8741, 8765], [6894, 9159], [4215, 6017], [2565, 2788], [5622, 9488], [6401, 8472], [3275, 11057], [5305, 7337], [3275, 4641], [5277, 5289], [7068, 7245], [2654, 11124], [7850, 10664], [2962, 9779], [7098, 9339], [7230, 8704], [6571, 9822], [4804, 6008], [1774, 4137], [991, 6909], [6758, 9648], [6316, 9303], [8217, 9145], [3085, 10529], [1297, 8120], [298, 9547], [3978, 8302], [1726, 7479], [9009, 10249], [184, 2063], [246, 2941], [5461, 6695], [2288, 8680], [3506, 9246], [4432, 6028], [6866, 9339], [6654, 8894], [207, 6396], [1138, 3522], [2163, 6699], [4434, 6074], [6646, 8252], [3629, 10750], [565, 1381], [4246, 10160], [1340, 3629], [3927, 11346], [3619, 7029], [2896, 10606], [6905, 8139], [3307, 5222], [5516, 10135], [214, 3029], [1062, 4816], [1686, 7649], [1180, 9009], [2553, 7234], [3456, 8728], [1095, 10591], [1021, 1782], [3785, 10889], [423, 10723], [5008, 5383], [5911, 7631], [1140, 2413], [4501, 9524], [6992, 11117], [5588, 7163], [8461, 11302], [5063, 9227], [3070, 11294], [142, 1032], [2604, 3385], [3913, 6321], [489, 4523], [3758, 9416], [5750, 9376], [4215, 10823], [227, 581], [2069, 9642], [9100, 11410], [1805, 11289], [1512, 8004], [4148, 5814], [4552, 6429], [2745, 9632], [5286, 6424], [6717, 8037], [4602, 9175], [873, 1079], [5351, 7950], [7962, 10399], [7277, 9542], [6031, 11092], [5647, 7719], [84, 8917], [5249, 6892], [5240, 9058], [4840, 11568], [3499, 9848], [6166, 9223], [5460, 8243], [5295, 6486], [10902, 11222], [3495, 6696], [2805, 5495], [35, 2989], [1688, 9899], [6266, 9804], [3248, 9448], [3828, 5593], [2867, 3340], [3328, 4489], [9396, 10374], [10614, 10940], [5010, 9885], [1806, 10305], [4975, 10830], [1363, 9735], [3751, 10449], [9358, 11021], [1118, 9904], [179, 2337], [7744, 8203], [2634, 3519], [7369, 8326], [3914, 11379], [5839, 10117], [1768, 10952], [774, 10094], [2544, 11173], [9053, 10385], [4837, 7863], [663, 1403], [6404, 9337], [7574, 8731], [3883, 9033], [4346, 4593], [478, 5787], [2439, 6434], [2592, 6676], [10718, 10889], [5434, 9250], [2041, 3355], [1230, 10495], [6431, 10379], [3279, 10989], [4958, 6288], [1277, 3144], [1349, 5464], [7281, 11488], [3674, 4321], [1924, 10310], [964, 1866], [4234, 9613], [2333, 2601], [2047, 6179], [7561, 10724], [741, 3514], [3726, 7894], [7217, 10914], [7585, 8866], [7751, 10067], [4219, 4794], [9480, 11145], [1326, 9802], [5529, 10584], [1645, 11245], [9078, 11330], [1852, 2678], [11, 2887], [9163, 10879], [2993, 6969], [5953, 6566], [1340, 9858], [75, 7194], [6324, 8953], [1002, 6830], [5795, 9363], [10055, 10679], [1841, 4367], [3983, 8058], [347, 8067], [5877, 10893], [7838, 11540], [5321, 7228], [4481, 5302], [966, 1888], [1499, 4603], [7378, 7583], [2077, 10501], [5418, 9790], [613, 6496], [5910, 10252], [4905, 10733], [5818, 10663], [6276, 11514], [2346, 4660], [5589, 8332], [1069, 6897], [4534, 8696], [1845, 7118], [4530, 5544], [2040, 10969], [729, 7960], [7198, 7773], [2678, 4840], [1227, 5204], [2490, 11205], [5418, 8635], [1501, 7658], [4795, 6377], [6135, 10878], [8740, 9375], [6506, 6849], [5604, 8209], [2392, 4604], [4355, 6078], [5005, 7126], [3327, 9019], [9082, 9489], [4352, 5026], [5217, 8702], [2572, 6642], [6615, 10175], [519, 6406], [1577, 5559], [1270, 10512], [4157, 5689], [2040, 10164], [1937, 2869], [3112, 6771], [4450, 8193], [847, 4932], [7777, 9304], [1687, 5323], [1146, 8382], [2517, 5780], [8903, 10254], [1214, 6796], [555, 744], [2604, 7654], [5102, 6254], [4842, 11053], [3486, 9025], [4692, 8076], [2006, 10179], [1209, 9081], [2594, 3933], [9701, 11173], [5398, 6023], [8209, 9284], [8727, 10967], [1387, 7663], [8078, 10521], [3317, 10155], [7854, 10813], [6147, 7050], [1355, 5873], [112, 6940], [10814, 11164], [6511, 8266], [2558, 11042], [6613, 9674], [684, 8859], [4832, 9934], [6, 2757], [2560, 11088], [3675, 10775], [1842, 8593], [2931, 6305], [493, 2094], [255, 3434], [685, 8680], [2240, 6387], [5040, 10987], [1169, 2084], [1175, 3030], [5404, 5787], [6826, 9566], [138, 3973], [3348, 10915], [9564, 11036], [2678, 5458], [5797, 5866], [4406, 7035], [8683, 10240], [8184, 8607], [4868, 8786], [7284, 10794], [6262, 7888], [4706, 10710], [3180, 9991], [380, 3856], [2398, 9201], [2960, 11156], [94, 1772], [961, 3609], [3041, 3416], [2242, 8661], [3480, 9879], [429, 7131], [8978, 9757], [5554, 7959], [2562, 6572], [3444, 7189], [8445, 9671], [7760, 9568], [7, 10821], [1279, 1824], [2694, 11572], [8793, 10354], [1978, 3488], [7107, 8222], [694, 8718], [6822, 8238], [5079, 8982], [1459, 3862], [1405, 7009], [2654, 2724], [3242, 3648], [654, 2122], [1499, 10027], [1083, 7897], [184, 9528], [6242, 7555], [10168, 10503], [767, 2938], [574, 8959], [54, 7203], [921, 6788], [2134, 2846], [4374, 7072], [141, 9077], [1514, 7302], [7665, 8526], [6889, 9059], [1697, 9638], [637, 3996], [2903, 5279], [1158, 2944], [3377, 8545], [600, 10530], [4335, 9746], [6983, 9071], [8994, 9081], [5009, 9690], [2371, 2385], [8440, 11124], [3433, 8073], [5164, 9978], [369, 5120], [1334, 7492], [10234, 11099], [6593, 11518], [2080, 4838], [4784, 7478], [5589, 6185], [1762, 9632], [2985, 10542], [1206, 5213], [1920, 4556], [6341, 10893], [1771, 10849], [3872, 11533], [9412, 10883], [6468, 6504], [6734, 10595], [3396, 8571], [5391, 8048], [4110, 10543], [443, 5577], [5603, 9624], [4147, 9644], [3206, 5414], [100, 8621], [2116, 6723], [784, 9253], [91, 4371], [5815, 10446], [3141, 9900], [1252, 5157], [5565, 10271], [2834, 6185], [5475, 7345], [361, 2919], [3886, 5523], [3719, 6349], [484, 1040], [3763, 6621], [3622, 6416], [3888, 4815], [6591, 11017], [204, 8570], [6554, 11135], [8823, 9683], [664, 9494], [425, 810], [855, 6810], [846, 8976], [630, 1215], [1280, 2263], [5354, 7361], [4641, 9374], [1121, 1452], [4419, 4831], [7130, 10140], [3305, 7998], [3243, 7120], [282, 7298], [2424, 3819], [6723, 11479], [2184, 10748], [1341, 9305], [1642, 10199], [5253, 7659], [2827, 4963], [1057, 6513], [1300, 4019], [7779, 10936], [8550, 10813], [1265, 7216], [7868, 10227], [6953, 7218], [6354, 9518], [9158, 10854], [1281, 8099], [4082, 9918], [2129, 3470], [1659, 10903], [6733, 9514], [4675, 11186], [480, 10265], [3548, 9984], [3493, 3861], [4176, 9553], [781, 6995], [571, 3213], [2584, 4050], [743, 4259], [595, 1355], [3864, 5494], [491, 6667], [59, 594], [3978, 5781], [9081, 9294], [1330, 4204], [1799, 10132], [3356, 10164], [672, 2514], [1210, 3321], [2488, 10354], [2256, 4369], [7369, 8570], [4222, 6114], [1051, 2510], [829, 3629], [2324, 9199], [7298, 9858], [4354, 5479], [6052, 11408], [6150, 8533], [2104, 10364], [9065, 10639], [1479, 1644], [3130, 7727], [7892, 10947], [3341, 8701], [2090, 9153], [1185, 6832], [3050, 5519], [4827, 10021], [2535, 3353], [2676, 2834], [3298, 8250], [3396, 9539], [9550, 10280], [3419, 9708], [5473, 11300], [6694, 11383], [3764, 4458], [2764, 5283], [9926, 9978], [8576, 10424], [5162, 9314], [634, 2356], [9515, 11575], [1878, 7526], [3179, 3431], [4097, 6711], [8603, 11466], [4988, 10854], [286, 2023], [5949, 10074], [1395, 6776], [10049, 11108], [5733, 11358], [3041, 3847], [184, 10764], [6751, 11112], [934, 2594], [4380, 8123], [1789, 7080], [1288, 3122], [2910, 10719], [2077, 7712], [4998, 10387], [4776, 11506], [2842, 2856], [672, 4287], [197, 4960], [1785, 7311], [4747, 9987], [3587, 6393], [3346, 8216], [570, 977], [3864, 6112], [1006, 3759], [7635, 11401], [999, 6752], [1090, 8368], [651, 5288], [2213, 5664], [1330, 4822], [7002, 10707], [3229, 8755], [8872, 9738], [5596, 10844], [4595, 5809], [7755, 9224], [300, 7690], [3286, 8508], [177, 6536], [8642, 10215], [120, 6002], [4812, 7729], [3819, 8971], [1587, 9524], [3998, 4772], [5551, 8068], [1798, 7492], [4279, 10649], [7727, 9835], [5748, 8582], [894, 8025], [450, 11017], [2697, 5834], [1950, 10515], [4863, 6913], [5238, 6036], [5243, 7134], [5079, 5225], [2155, 10920], [5364, 8592], [5455, 7956], [3082, 4140], [6519, 10307], [9587, 10780], [1027, 10247], [6004, 8171], [2611, 5686], [3211, 10377], [2141, 9709], [1494, 5926], [9393, 10914], [5222, 8135], [7128, 8321], [6400, 11554], [1018, 9380], [4421, 10301], [2580, 9756], [3299, 9443], [4477, 6446], [1798, 3304], [3417, 4968], [6345, 8814], [8704, 10288], [3532, 4726], [4342, 10193], [7334, 9328], [5804, 6955], [1661, 6224], [1912, 3591], [3226, 11035], [9974, 10263], [8391, 9010], [1567, 10726], [1409, 2970], [2289, 9176], [6, 6034], [391, 6599], [2182, 8555], [7765, 8733], [7049, 9317], [1228, 9725], [1120, 6250], [636, 9813], [7718, 8917], [1690, 11476], [3519, 4090], [509, 7759], [3515, 6600], [223, 4921], [3449, 8232], [11513, 11567], [4605, 7920], [1649, 2026], [1702, 5824], [4852, 7797], [528, 8940], [3317, 9244], [3907, 6831], [4044, 6540], [489, 1815], [308, 10105], [2321, 4526], [428, 2293], [2819, 8186], [927, 8807], [1283, 10162], [2461, 7165], [1280, 9110], [4329, 8752], [1440, 4080], [631, 1467], [3616, 6601], [4357, 7013], [2671, 4881], [2366, 10661], [5320, 9312], [338, 1595], [6523, 8065], [7529, 11192], [733, 7786], [3193, 10066], [7523, 10623], [6613, 7958], [641, 2535], [3753, 8188], [2822, 11062], [5711, 9318], [8388, 9381], [2060, 2633], [845, 5748], [5053, 6874], [8010, 9960], [9873, 11230], [2688, 5585], [1098, 3161], [1688, 4158], [3241, 8952], [94, 4244], [5598, 7347], [9061, 9073], [4388, 5144], [3331, 8845], [4547, 9338], [2926, 4595], [1548, 6780], [1109, 9362], [5107, 7460], [243, 11133], [3632, 8958], [1791, 2751], [6369, 9826], [9132, 9663], [7829, 9925], [3407, 9779], [3874, 6212], [1778, 5148], [4680, 7773], [7536, 10053], [2247, 3906], [3804, 3938], [6601, 9021], [4839, 5551], [8092, 10685], [2032, 9579], [4102, 4534], [7097, 9602], [1842, 9455], [10807, 11205], [3505, 9913], [361, 3968], [2836, 7280], [205, 3428], [4635, 7599], [2911, 8393], [7611, 7729], [5832, 8816], [4849, 5084], [2347, 9748], [795, 1392], [1789, 8666], [5682, 9222], [784, 2731], [7421, 10988], [6394, 7738], [7607, 7960], [1371, 3430], [6, 2814], [1031, 5991], [2703, 10699], [8685, 11148], [1873, 7963], [8497, 11097], [6976, 10722], [4262, 10777], [5566, 6953], [2489, 9400], [1856, 9487], [6529, 7000], [6561, 11419], [3691, 10961], [4663, 8842], [1707, 9364], [492, 6063], [5750, 6481], [5194, 8478], [1667, 9965], [6675, 9454], [21, 9861], [6991, 7970], [4584, 8734], [831, 8912], [2471, 4283], [5344, 8422], [10786, 11401], [6829, 6888], [7637, 11528], [1128, 1736], [7819, 11010], [3585, 4499], [1382, 2784], [1437, 9661], [2022, 3898], [572, 700], [2549, 6044], [2120, 10068], [4324, 8221], [2421, 6798], [688, 8230], [5972, 9869], [4914, 11470], [6593, 6769], [7193, 8454], [3511, 8118], [90, 10755], [7430, 7643], [5188, 6754], [520, 3923], [3131, 5618], [2785, 4981], [1981, 6876], [458, 5674], [5119, 8088], [5558, 8889], [174, 9298], [7354, 11189], [6917, 8182], [6423, 7647], [8482, 8829], [3088, 9304], [199, 4632], [3647, 10988], [1100, 9463], [6516, 11221], [2187, 7102], [1965, 8975], [2987, 5465], [6639, 9342], [7227, 9512], [8839, 10005], [66, 2009], [7213, 11334], [3240, 9294], [438, 834], [1479, 7954], [51, 3606], [23, 8728], [7553, 11375], [1524, 4664], [9631, 10355], [1728, 8631], [1328, 4725], [4368, 8812], [1126, 6496], [3092, 5235], [845, 4756], [5540, 6000], [5269, 11364], [1289, 11563], [2935, 10886], [411, 4649], [4204, 8007], [1437, 11434], [5042, 9106], [10484, 11331], [28, 4884], [8463, 9852], [3847, 6457], [6186, 10662], [8832, 11412], [2475, 5424], [1423, 10223], [6275, 9199], [5685, 5950], [6767, 9661], [232, 11480], [5846, 6807], [2006, 3633], [760, 7435], [6837, 8902], [3729, 11282], [1639, 2119], [2079, 8807], [1360, 2704], [4753, 9353], [276, 4582], [6678, 9589], [5551, 6889], [10378, 10504], [1164, 2011], [66, 6465], [5697, 9343], [1939, 9177], [3331, 6698], [8100, 11089], [1804, 8760], [5663, 9732], [4737, 10698], [1779, 10393], [377, 5014], [6199, 7460], [7376, 8025], [2014, 6503], [2358, 7067], [6349, 8158], [6780, 9842], [3043, 4137], [6248, 6571], [18, 358], [10789, 11512], [2312, 6318], [9037, 10258], [1468, 5404], [5327, 6376], [7484, 11099], [10096, 10767], [3957, 6170], [9898, 10028], [3, 1174], [4648, 9471], [5804, 9159], [5732, 7593], [6707, 11407], [7070, 9015], [938, 5589], [3051, 3624], [4585, 9122], [1156, 6980], [5483, 10272], [8814, 8873], [2615, 10641], [6357, 11028], [1405, 7684], [937, 6118], [7414, 9956], [2092, 7833], [2359, 5733], [5819, 7188], [9521, 10428], [3889, 11489], [4255, 8614], [2761, 6652], [390, 7827], [8048, 9720], [1446, 9563], [4589, 4703], [580, 754], [7331, 10079], [763, 9506], [880, 10091], [3813, 8619], [3154, 7485], [1591, 9136], [3776, 6485], [6924, 8385], [1589, 6057], [1496, 10030], [2528, 7208], [8684, 8776], [1621, 8224], [1404, 10441], [695, 5026], [5597, 10535], [5754, 7486], [1210, 6411], [1903, 10539], [1533, 5344], [2431, 6494], [1032, 7802], [60, 7669], [2228, 6165], [4416, 9447], [6284, 7651], [2571, 5750], [10265, 10306], [3381, 11217], [1260, 2741], [3223, 4215], [1144, 5010], [6030, 9986], [2503, 11473], [8353, 9551], [772, 3152], [77, 8023], [3545, 10093], [4375, 6413], [5861, 7733], [2977, 10575], [864, 6124], [1095, 1361], [3037, 8374], [4406, 4945], [10182, 11210], [6825, 10634], [5486, 5577], [6050, 7605], [2433, 6166], [287, 5739], [1684, 8522], [217, 10635], [348, 730], [7290, 9623], [843, 7125], [6787, 8248], [1649, 8686], [1496, 6192], [4732, 10191], [3674, 4622], [3109, 9539], [3945, 9811], [125, 8013], [4569, 5474], [3566, 6782], [6628, 6656], [7331, 11502], [511, 4292], [1918, 7763], [5056, 8975], [5584, 11346], [4433, 9750], [9565, 10995], [6803, 8350], [1858, 6177], [2500, 3200], [667, 8188], [7415, 7416], [166, 9892], [6394, 7364], [1846, 8045], [8780, 10661], [3064, 9365], [320, 910], [1034, 6669], [4172, 7127], [1677, 6546], [2578, 11377], [5642, 8668], [3390, 7091], [1844, 8349], [3015, 4935], [2643, 9493], [5475, 7215], [5000, 7888], [2613, 10782], [1354, 1547], [2322, 9852], [232, 689], [6186, 9670], [799, 6398], [7488, 10681], [4713, 7831], [1299, 6721], [979, 5053], [7548, 9234], [7582, 8064], [6763, 11179], [3497, 10721], [2385, 11305], [1604, 4324], [1941, 7127], [8878, 9260], [297, 7850], [5928, 11482], [2088, 4144], [2585, 4196], [2867, 7292], [2862, 6948], [3832, 10418], [1194, 3113], [2907, 10074], [6883, 10133], [1344, 9473], [3944, 7626], [8868, 8922], [24, 2214], [994, 5684], [2797, 9155], [5161, 10973], [87, 284], [86, 6475], [8587, 9811], [2888, 5486], [5374, 8987], [3877, 6754], [4659, 10173], [7544, 10939], [261, 1753], [3459, 7180], [2437, 4274], [1695, 10053], [1781, 9073], [291, 3847], [17, 11192], [6612, 7926], [1851, 7560], [9817, 10360], [1221, 7164], [8077, 10621], [1666, 7780], [5520, 9162], [4835, 8305], [413, 8159], [6323, 7042], [6101, 8161], [10748, 10869], [2680, 10044], [8380, 11561], [1307, 6157], [5727, 9640], [5073, 11102], [5321, 8952], [3674, 5240], [147, 311], [7433, 9014], [6373, 9788], [6718, 10200], [395, 10212], [6863, 7171], [155, 9971], [49, 3159], [1980, 11511], [2353, 7555], [2626, 2991], [907, 8293], [2283, 6035], [8630, 11335], [7800, 7845], [383, 2631], [2442, 3813], [1473, 10367], [74, 10921], [2992, 7663], [2770, 8782], [1717, 6563], [8155, 11227], [7167, 11315], [5973, 8891], [5601, 7033], [869, 8159], [5233, 7546], [7807, 10894], [5035, 7561], [7058, 9086], [1213, 9100], [6433, 6782], [9457, 11090], [5185, 7505], [8263, 8666], [2917, 6149], [3575, 7058], [710, 1282], [8860, 10053], [7799, 10602], [5854, 9707], [5668, 10483], [5086, 7095], [3212, 11328], [623, 4696], [5724, 7382], [3791, 8002], [3770, 7125], [3307, 5149], [3214, 9122], [9745, 9813], [7914, 10710], [1216, 8593], [3294, 10579], [780, 5030], [6318, 7717], [2639, 5400], [2425, 11298], [303, 2597], [7274, 9976], [6430, 9062], [3588, 4236], [4527, 7639], [6614, 10869], [1916, 9327], [2876, 4939], [4856, 9800], [1036, 8002], [3761, 5103], [6412, 10361], [414, 5969], [4271, 10278], [5947, 8312], [910, 6550], [2271, 9676], [34, 2715], [5481, 10202], [426, 5979], [3294, 9774], [8180, 8334], [5599, 7979], [998, 5616], [3007, 9717], [5063, 11382], [4562, 6670], [2136, 3974], [6676, 8313], [1288, 5570], [2721, 10262], [5305, 7882], [1846, 2865], [2441, 11376], [4929, 8534], [1008, 6684], [168, 8922], [1684, 2537], [319, 2675], [5606, 7995], [403, 7284], [905, 8434], [504, 8090], [4508, 5279], [3124, 7619], [7532, 9587], [1952, 6674], [1773, 5211], [3677, 8734], [3023, 10196], [3, 6761], [5246, 6147], [6632, 10993], [10863, 11571], [1354, 2783], [452, 10559], [457, 10903], [4259, 11341], [8428, 11041], [9085, 9850], [3388, 5598], [1485, 4929], [4757, 8585], [3169, 6988], [3004, 8641], [3468, 7055], [2162, 4390], [4252, 11301], [2093, 6505], [2745, 4216], [301, 6576], [1920, 8240], [2155, 6602], [10687, 11503], [379, 11370], [3715, 10315], [5484, 8540], [1869, 3764], [3178, 6700], [1397, 4708], [7470, 10937], [3466, 6578], [741, 3091], [3677, 10962], [4675, 10064], [7, 63], [7229, 11225], [651, 3548], [6593, 11014], [3350, 5090], [5500, 8642], [772, 5006], [4321, 11414], [806, 3836], [2131, 11469], [1849, 1957], [3009, 8180], [4279, 5526], [2350, 9298], [4370, 4890], [10383, 11068], [1571, 6527], [3279, 6728], [1187, 3154], [2843, 3165], [45, 11443], [4990, 7200], [2065, 7035], [946, 9858], [4430, 5291], [7413, 9598], [9180, 11160], [5102, 10824], [1349, 11002], [2865, 11033], [4508, 10085], [4575, 5645], [471, 4088], [2603, 6337], [1242, 3211], [1424, 4945], [7740, 8680], [4629, 5127], [2423, 11065], [3631, 6779], [6000, 8941], [7340, 11190], [4728, 9270], [3066, 10942], [6586, 9038], [1085, 8862], [4318, 6928], [541, 7486], [740, 8827], [759, 8877], [5771, 5856], [2626, 4227], [9237, 11263], [4282, 8402], [2446, 8955], [6522, 8464], [1259, 1286], [200, 10576], [2629, 11291], [5275, 9789], [385, 8077], [6611, 10384], [3275, 9187], [6477, 7940], [1556, 10325], [7690, 8162], [8808, 11530], [9095, 10806], [1122, 7589], [160, 8898], [277, 3067], [9185, 10699], [4039, 10522], [3705, 4984], [2856, 5978], [3133, 8730], [4258, 9105], [9294, 10642], [2047, 7529], [335, 3422], [467, 5793], [3010, 9828], [2912, 6287], [4095, 4388], [3138, 6041], [7804, 8799], [1421, 1590], [77, 1851], [3294, 6554], [2972, 10475], [2160, 8345], [5890, 7217], [6555, 10051], [5121, 11550], [2805, 8268], [1227, 7359], [3553, 6441], [1414, 7185], [1772, 4449], [4208, 8587], [1625, 7405], [7977, 10797], [3355, 9085], [9901, 11562], [5787, 9317], [4758, 9404], [5721, 10949], [2791, 10440], [3254, 6000], [3789, 6509], [6808, 9719], [6925, 11058], [3255, 5821], [1360, 9177], [598, 6410], [1043, 7026], [7271, 10914], [888, 3705], [2033, 11148], [10590, 11383], [3271, 6704], [11173, 11209], [8530, 9976], [8478, 9786], [9001, 9561], [5324, 10323], [1907, 3280], [1083, 6051], [780, 2078], [2795, 3742], [181, 7411], [9998, 10690], [8116, 8646], [10393, 11219], [5345, 8167], [123, 7406], [4577, 5555], [655, 9896], [560, 6626], [835, 8551], [6394, 6453], [1512, 8012], [6746, 8036], [1197, 6688], [6962, 8600], [6114, 6813], [4097, 9240], [2601, 9861], [2246, 11390], [2554, 9291], [5702, 8939], [3238, 9923], [8196, 10049], [6725, 9037], [1553, 10645], [7788, 8534], [6470, 8518], [5231, 7075], [6755, 11131], [6010, 10223], [6280, 7640], [3539, 10036], [2866, 11448], [4540, 8655], [10111, 11482], [5367, 8841], [3288, 9636], [1297, 6868], [3480, 9806], [7733, 10705], [4490, 5535], [5907, 9694], [6743, 9966], [8517, 8535], [697, 1396], [566, 2633], [4338, 10776], [1590, 5585], [1755, 8096], [1569, 4708], [9279, 9797], [10249, 10261], [1407, 6632], [3458, 3789], [2623, 6371], [2024, 5288], [8187, 8781], [722, 9912], [5942, 7594], [1427, 10667], [2110, 8445], [8560, 10460], [7316, 8673], [9393, 11215], [3020, 4694], [7302, 10495], [5415, 11460], [396, 6894], [7806, 9439], [1173, 9969], [2109, 7439], [2723, 9584], [5305, 10541], [131, 8316], [3312, 6192], [4181, 6604], [5591, 9592], [1818, 8394], [128, 8018], [389, 6073], [9062, 10455], [5521, 8072], [195, 6207], [1804, 3019], [410, 8081], [601, 1233], [7256, 10096], [1141, 4395], [2434, 6798], [784, 3569], [1343, 5253], [2330, 5694], [1299, 10616], [3262, 5674], [5512, 10588], [1703, 2563], [5956, 7626], [5843, 7160], [1729, 7167], [3563, 9951], [3571, 10566], [985, 9867], [9662, 10985], [5993, 9356], [2404, 9965], [1356, 5084], [3152, 8138], [1445, 4375], [4523, 5536], [4118, 7702], [2836, 8841], [6007, 10193], [1060, 7193], [5518, 7750], [7130, 7489], [1927, 7532], [1875, 7342], [1464, 5556], [6409, 7729], [505, 6382], [4180, 5547], [6943, 11046], [8787, 11108], [902, 3574], [1270, 1526], [9745, 10057], [4358, 7539], [2121, 6994], [3883, 4048], [7773, 11503], [5192, 11148], [3356, 5285], [1740, 8056], [2268, 10427], [2978, 11526], [5662, 6344], [870, 11583], [457, 3308], [2607, 11024], [7371, 10153], [2163, 9098], [671, 7209], [2630, 4777], [233, 6983], [7389, 8480], [8662, 8753], [6774, 9116], [4928, 8981], [5031, 9860], [2244, 4741], [1843, 4397], [4181, 4994], [2568, 7282], [8781, 9384], [1558, 7419], [5336, 7463], [4486, 9013], [2715, 3545], [11180, 11388], [2964, 10665], [2219, 10511], [3946, 4346], [248, 1979], [497, 4935], [1770, 5208], [11231, 11326], [4600, 6267], [3356, 4480], [4870, 7848], [2638, 8401], [1328, 1830], [8051, 9107], [2669, 6933], [4936, 8818], [979, 4305], [165, 8518], [4895, 6565], [9344, 10786], [4306, 8422], [725, 6640], [3304, 10332], [1351, 3130], [2944, 5825], [8844, 9682], [563, 2148], [2653, 9059], [3532, 5995], [4497, 9121], [1616, 3586], [313, 4602], [6249, 8116], [559, 8041], [3981, 6760], [9151, 11495], [8466, 10638], [7407, 7850], [1806, 10476], [1369, 4059], [517, 4782], [6776, 7983], [3280, 4619], [5026, 7556], [1452, 9197], [2971, 6493], [194, 2816], [572, 1456], [8264, 9349], [4871, 7618], [5079, 7567], [6013, 11380], [5459, 7788], [6481, 6530], [970, 5666], [4796, 11416], [6893, 8918], [1212, 5953], [1787, 11523], [9535, 10680], [317, 1287], [4487, 10257], [4045, 9912], [1185, 3726], [2714, 8880], [472, 1575], [7225, 7563], [1244, 10722], [1177, 9500], [2736, 3943], [2354, 3649], [1452, 11425], [2104, 9136], [803, 10979], [235, 5045], [9233, 11439], [1174, 2786], [202, 2653], [6153, 7953], [862, 5143], [9948, 11384], [10974, 10999], [630, 11209], [6920, 9559], [4086, 8758], [3112, 8552], [10150, 10737], [2314, 10235], [2376, 4697], [4172, 6997], [3587, 4092], [3730, 10816], [751, 9634], [7652, 9858], [3104, 10539], [91, 10527], [5227, 10016], [1679, 6462], [5848, 6162], [899, 7253], [3139, 6561], [5446, 7845], [3168, 11463], [831, 8058], [6187, 9011], [2093, 8172], [725, 3875], [1191, 9532], [790, 2018], [5115, 5237], [4617, 10622], [173, 329], [3681, 6736], [2031, 3507], [8591, 9854], [2465, 3964], [4183, 11269], [6600, 10469], [6660, 10520], [693, 5441], [4855, 10386], [7477, 10742], [6911, 7887], [9027, 9603], [3296, 7275], [5419, 5998], [584, 3993], [1614, 10924], [146, 10183], [6687, 9310], [1797, 7598], [2110, 5843], [372, 2767], [2827, 11119], [79, 11590], [6655, 10526], [549, 1905], [7962, 10383], [10720, 11374], [2786, 7331], [2201, 4426], [4097, 4678], [7201, 10470], [5088, 6019], [6519, 9884], [7453, 11445], [719, 9671], [507, 11478], [634, 673], [7354, 10685], [2996, 5828], [752, 4112], [5364, 8519], [787, 10714], [8629, 8752], [878, 4416], [2249, 7476], [3708, 6973], [4570, 6214], [6097, 10541], [467, 8265], [4971, 10695], [3762, 4176], [1172, 6741], [2937, 7476], [2822, 6183], [1905, 6511], [8011, 8716], [759, 1095], [1378, 10000], [1250, 8502], [5326, 8011], [2184, 5145], [348, 9862], [8567, 10102], [5298, 5963], [9525, 11303], [1657, 6382], [6292, 6821], [4329, 6101], [755, 1326], [878, 10027], [2865, 5479], [6432, 6831], [6478, 7176], [3649, 9725], [3862, 4356], [2052, 3124], [1398, 4586], [1519, 6044], [2768, 8929], [4936, 6671], [6961, 9023], [3980, 11178], [3256, 5485], [6154, 10620], [4276, 10947], [6896, 8224], [2288, 5444], [151, 2127], [2437, 8950], [5916, 10455], [6234, 9044], [2225, 10757], [1625, 2656], [2583, 8775], [5766, 6724], [2087, 4407], [2907, 10562], [8931, 10513], [9717, 11422], [2933, 3115], [70, 418], [3112, 5332], [10087, 10201], [4070, 6533], [3550, 11193], [1987, 4176], [2859, 4105], [216, 2872], [5061, 7847], [9078, 10159], [6898, 10148], [4914, 8551], [1108, 10623], [6710, 10851], [1108, 4207], [5925, 7134], [5744, 8254], [6329, 11159], [10938, 11131], [198, 11341], [640, 5270], [237, 10515], [13, 10807], [889, 1810], [393, 4612], [5836, 8193], [2971, 8079], [5885, 8085], [4109, 8689], [2330, 3360], [2806, 3289], [1366, 3842], [2014, 8227], [7287, 10431], [4198, 8357], [1426, 11440], [2321, 2493], [684, 10803], [5911, 9656], [3196, 6103], [2483, 10368], [456, 11353], [2102, 10676], [887, 959], [1201, 2812], [349, 9951], [1811, 7467], [3368, 7499], [3559, 4815], [295, 1020], [503, 7385], [5329, 8146], [2650, 11420], [8775, 11423], [2876, 10420], [7886, 10736], [8163, 9324], [313, 10644], [29, 10885], [836, 10419], [5230, 8517], [1456, 9346], [4195, 10287], [4570, 9410], [4064, 11524], [889, 6266], [3318, 6981], [1170, 9891], [950, 1257], [1849, 6015], [2136, 9455], [6840, 8533], [1888, 5189], [6585, 7260], [1130, 9711], [1968, 4394], [3297, 7982], [6540, 6736], [3183, 11078], [3647, 9492], [3707, 9543], [2181, 2408], [2420, 4676], [2218, 7171], [5912, 10550], [3758, 6098], [2868, 8973], [9674, 11589], [3227, 9091], [4142, 6438], [2270, 4328], [6192, 9786], [4222, 7895], [5407, 6069], [6644, 6685], [2134, 10856], [4273, 7860], [73, 6595], [1010, 6919], [3723, 7393], [4404, 10006], [5457, 8815], [5555, 9350], [1606, 5452], [1193, 10009], [3500, 11293], [5681, 11152], [7047, 8206], [5514, 6316], [2401, 9106], [11277, 11565], [2428, 10929], [4570, 7450], [5705, 9267], [566, 3845], [7788, 8591], [6596, 6994], [2743, 9220], [2492, 5437], [644, 8639], [80, 195], [3393, 3852], [2290, 7962], [5156, 10930], [115, 2633], [2262, 5914], [488, 7345], [2164, 3127], [2829, 5207], [4909, 8020], [3479, 9261], [3131, 5545], [2878, 5099], [2443, 4390], [8886, 10152], [4643, 5053], [8065, 10188], [8347, 9120], [7882, 11235], [5583, 9812], [4673, 7147], [8413, 10871], [6567, 10736], [759, 9097], [2335, 3517], [6543, 8807], [5793, 8309], [4045, 4545], [3365, 4786], [7905, 8371], [1985, 3138], [3139, 8415], [403, 11155], [721, 9744], [2206, 8210], [9494, 11324], [303, 1125], [1731, 5473], [10364, 11180], [340, 10806], [1085, 4544], [2332, 10766], [4064, 9109], [1726, 2096], [4253, 5598], [1352, 5827], [4096, 7112], [944, 4312], [3528, 7594], [947, 7993], [1640, 5705], [9100, 9865], [1782, 5007], [944, 4662], [1286, 7809], [164, 11115], [1434, 7707], [6046, 7950], [36, 5453], [2928, 3226], [5199, 9017], [5500, 5747], [8115, 9096], [1298, 7819], [2074, 8040], [6197, 10748], [5774, 8201], [6534, 7889], [5058, 5779], [4063, 6948], [8796, 9430], [4126, 11434], [136, 10945], [1664, 6829], [3818, 4865], [3227, 10059], [7293, 8880], [734, 6141], [1104, 4920], [1792, 5294], [4932, 6579], [1069, 8117], [3502, 6322], [1664, 3796], [2032, 8164], [5769, 8207], [2524, 8626], [471, 10642], [3315, 3463], [316, 6567], [4314, 11081], [1676, 3806], [4922, 6241], [3764, 9890], [6288, 9711], [5765, 7684], [534, 11341], [7282, 10569], [6110, 11102], [3586, 4865], [4109, 6892], [6311, 7628], [996, 6676], [10201, 10919], [5853, 6750], [11042, 11535], [4669, 5014], [6751, 7900], [3203, 4346], [5438, 8228], [3039, 9607], [357, 2784], [3501, 11358], [1887, 4376], [7554, 9163], [8137, 8989], [10105, 10807], [2010, 6661], [9795, 9827], [607, 3309], [504, 2430], [9266, 10237], [7086, 10980], [508, 2549], [2536, 9336], [609, 3355], [3054, 3849], [1156, 3524], [2594, 6308], [601, 9129], [5258, 7637], [4829, 9409], [314, 6820], [997, 6096], [2769, 3838], [1016, 3894], [331, 3791], [1992, 4146], [1744, 10460], [1271, 8550], [2391, 7827], [1553, 7482], [1331, 2185], [7640, 11165], [3419, 8269], [5527, 5960], [8708, 8754], [5525, 5887], [7090, 9944], [3699, 4876], [889, 10885], [1023, 7667], [1596, 6805], [2294, 11277], [2284, 6425], [5434, 6900], [4317, 7140], [9480, 9950], [5179, 6381], [74, 2041], [6732, 11175], [1042, 8848], [1107, 9243], [696, 8211], [5076, 8131], [659, 8329], [6596, 9035], [3994, 7803], [4667, 6391], [2117, 8355], [682, 7000], [5079, 8779], [1335, 1903], [1718, 11467], [5135, 5678], [9964, 10120], [9732, 10551], [5434, 5745], [2199, 6852], [588, 3551], [237, 2570], [5783, 10036], [8830, 8878], [8293, 10925], [9509, 11418], [6059, 8399], [5309, 7147], [171, 7585], [3596, 5821], [6674, 11146], [2652, 7709], [2968, 9635], [850, 4840], [10337, 11425], [1431, 3839], [3306, 9630], [3643, 6017], [2521, 5159], [2209, 4106], [5559, 6921], [2893, 10400], [1047, 3849], [2424, 8609], [7840, 10367], [3064, 5559], [8402, 11568], [7077, 10381], [1729, 7037], [1262, 6073], [1917, 9717], [7108, 8913], [453, 3460], [2882, 6427], [7412, 9324], [8499, 11127], [466, 3695], [1719, 6699], [3620, 6541], [7381, 11142], [1722, 10380], [375, 6960], [972, 4964], [5411, 9251], [3621, 10149], [4141, 5489], [930, 5492], [1497, 11201], [1595, 7572], [2586, 9667], [5884, 8128], [2794, 6206], [1185, 2978], [1204, 7192], [987, 9409], [10544, 11071], [2695, 9610], [1480, 6309], [2887, 9780], [7374, 10321], [3040, 5858], [3668, 10345], [275, 3696], [9263, 9402], [6646, 7138], [82, 4055], [1668, 8989], [111, 2541], [8644, 10296], [3899, 4801], [2224, 3959], [3091, 9960], [1847, 8173], [231, 3774], [6480, 8539], [138, 3583], [1106, 10390], [1006, 6776], [3396, 7563], [4275, 4499], [3296, 10365], [3120, 7665], [126, 3199], [4239, 8225], [5068, 11490], [1176, 7372], [3581, 9945], [2275, 6526], [80, 6237], [4518, 10269], [4611, 7050], [5624, 5706], [7243, 7370], [7057, 10398], [9333, 10117], [2630, 3492], [983, 4698], [838, 8481], [950, 8722], [5473, 9674], [6521, 7385], [604, 1669], [3790, 4053], [3939, 7559], [5156, 10906], [2496, 7814], [3158, 3961], [1322, 4514], [138, 2778], [3930, 8944], [7008, 10105], [3959, 7430], [5332, 5655], [1345, 5437], [8463, 9860], [1472, 4458], [9001, 10667], [6477, 7436], [462, 4595], [4049, 7323], [2517, 2625], [997, 11520], [1701, 3005], [2323, 9175], [2054, 4032], [2630, 2687], [4118, 11223], [8600, 9168], [1353, 1891], [3474, 11121], [5863, 7519], [3673, 7574], [2310, 3621], [4897, 11338], [4527, 6143], [7104, 9008], [711, 1111], [8908, 9671], [3337, 4592], [274, 10909], [4787, 10419], [602, 10186], [4203, 10368], [686, 6881], [2981, 6650], [1238, 7394], [1898, 9130], [6560, 8736], [8528, 10554], [741, 3555], [4192, 9428], [4904, 11354], [5778, 7946], [4312, 7278], [7791, 8783], [1942, 7897], [5741, 8818], [2508, 4336], [1919, 10357], [5491, 7889], [4627, 5569], [730, 8277], [7607, 10359], [4369, 5533], [8539, 10339], [6388, 9568], [2708, 3643], [4244, 9968], [2434, 5326], [8939, 11212], [2396, 2590], [6545, 10683], [2808, 11394], [1815, 6220], [6016, 11093], [2740, 5783], [472, 10089], [9615, 10448], [4551, 6863], [3391, 10439], [6665, 8506], [4418, 7273], [2761, 10043], [9576, 10493], [2793, 5794], [3352, 7478], [2106, 9028], [3381, 5964], [3847, 5205], [4652, 6164], [6708, 7829], [1548, 4536], [5744, 8311], [2141, 5050], [6057, 6556], [1516, 11414], [2787, 9362], [5767, 9234], [5793, 8203], [1192, 5840], [2472, 10290], [1883, 9895], [3934, 7052], [2786, 11389], [8574, 8589], [5488, 10950], [7945, 8795], [7569, 10201], [7557, 8686], [248, 4695], [2775, 8197], [7439, 7876], [527, 6739], [7899, 8800], [177, 2950], [1419, 3910], [2857, 8946], [2633, 7740], [3564, 4866], [1692, 2756], [2015, 8859], [1914, 5020], [1884, 2145], [511, 2422], [6825, 10992], [4053, 7659], [1374, 6769], [2994, 11287], [7044, 9575], [9031, 9191], [6316, 6392], [7286, 9108], [750, 1657], [502, 1555], [1804, 9736], [4015, 8306], [6165, 9606], [4542, 11206], [3, 3305], [2360, 10368], [6415, 9000], [1403, 5605], [498, 7448], [369, 5348], [2143, 3917], [1456, 9403], [10174, 10522], [7625, 8924], [4139, 6248], [1855, 3635], [1791, 1930], [4678, 9939], [2665, 2686], [6453, 11362], [1286, 6898], [950, 11113], [6638, 11115], [3565, 3882], [3873, 8199], [9750, 10352], [566, 1324], [5586, 8744], [7076, 7554], [1193, 7838], [976, 9301], [749, 3660], [2930, 6525], [848, 3639], [447, 3295], [2274, 11324], [5693, 6362], [10082, 10532], [380, 4702], [5402, 8815], [2914, 4487], [5415, 6768], [2015, 10282], [5840, 6008], [5100, 5444], [2914, 7870], [8051, 10213], [1446, 4123], [1977, 4513], [975, 2259], [412, 3085], [2753, 7363], [1158, 11011], [3835, 11074], [876, 1499], [161, 9101], [7193, 8088], [477, 11027], [1600, 10575], [5697, 8709], [8162, 11333], [5882, 7708], [1309, 1731], [7038, 7396], [7227, 10301], [3302, 10961], [2578, 4514], [6129, 8339], [5284, 10233], [2137, 7023], [2045, 7434], [3166, 11073], [7581, 7796], [3941, 11069], [2035, 3713], [5837, 10567], [1169, 7736], [3837, 9965], [3529, 5648], [3555, 4617], [4370, 10428], [2427, 3944], [2034, 9877], [8727, 9398], [2999, 5833], [5979, 9869], [2744, 10976], [9153, 10738], [715, 9636], [997, 8568], [3801, 8406], [9248, 10975], [401, 7002], [6812, 7591], [7942, 8310], [7873, 10425], [2740, 11207], [33, 6017], [7089, 9562], [6834, 8289], [4815, 9889], [3571, 8102], [1450, 3036], [2757, 9309], [714, 5597], [3855, 11244], [3839, 9987], [1351, 5659], [2811, 8764], [3220, 6717], [722, 2455], [2406, 10930], [658, 4914], [8187, 11123], [5293, 6107], [1430, 7645], [2369, 2380], [4053, 10855], [994, 4082], [5014, 10075], [3175, 3941], [5162, 5809], [2121, 7913], [189, 6506], [3580, 11574], [10235, 10611], [7124, 7812], [8175, 9204], [4761, 8848], [5126, 7283], [8498, 8891], [1793, 5603], [118, 11177], [3855, 7056], [5397, 6056], [205, 9641], [3880, 8052], [4845, 8926], [3625, 6779], [1003, 10587], [7983, 9384], [5965, 8203], [2405, 3134], [4957, 8386], [8699, 8773], [5268, 9968], [5574, 7042], [2876, 6102], [1666, 9561], [3087, 10486], [7070, 9804], [4026, 8227], [1156, 7769], [779, 5567], [8241, 9800], [156, 6342], [4299, 7073], [720, 8370], [431, 8267], [5226, 6709], [682, 5634], [5358, 9080], [558, 3878], [6103, 7736], [803, 7092], [1548, 1584], [3970, 6790], [763, 3529], [7684, 11545], [8570, 8928], [2068, 6723], [7052, 8070], [5436, 10841], [7143, 8188], [3194, 3536], [8572, 8974], [2011, 9572], [2438, 4721], [3162, 8916], [4126, 7653], [7321, 9399], [2242, 4782], [4461, 7377], [6319, 7145], [4915, 10738], [1713, 5569], [252, 5245], [4980, 9635], [2549, 5841], [6621, 7860], [3004, 6421], [6154, 9148], [3841, 3885], [8012, 10047], [8545, 10510], [1199, 8889], [5307, 11319], [1685, 2366], [4792, 8429], [905, 5409], [2871, 10564], [1613, 10599], [441, 3962], [4942, 8373], [1368, 10768], [4267, 8958], [11149, 11384], [3513, 10970], [7222, 8965], [3762, 7510], [2707, 6376], [5074, 7711], [4007, 11478], [4191, 6869], [2921, 10277], [5370, 7480], [8166, 9709], [9439, 9982], [2283, 9239], [3778, 8393], [2195, 7140], [879, 3033], [5051, 9420], [548, 7592], [6140, 7132], [6676, 7866], [480, 2735], [3335, 11206], [107, 7068], [878, 6945], [899, 1406], [6542, 11434], [2927, 6658], [2832, 9804], [6158, 8061], [2235, 9548], [3539, 4970], [560, 10204], [7623, 8504], [9555, 10665], [6009, 7938], [1735, 7690], [3044, 10626], [5967, 7712], [5556, 6680], [5067, 9899], [2696, 6910], [265, 3870], [3382, 10621], [4657, 5305], [1019, 5241], [8790, 10983], [3136, 10565], [323, 10641], [3966, 10268], [2435, 5041], [1413, 6299], [4735, 9318], [1218, 5077], [9810, 10783], [2189, 9149], [775, 4507], [5709, 6491], [3889, 5325], [2803, 10540], [3949, 5376], [3202, 10811], [103, 2357], [4320, 7763], [2365, 3898], [4162, 9806], [3508, 11268], [1581, 9451], [3821, 9513], [2665, 7573], [2919, 10873], [10114, 11544], [4875, 8924], [6463, 11275], [2972, 8255], [213, 9291], [3222, 5397], [7389, 11440], [7707, 10029], [1759, 9164], [1754, 4656], [9573, 11570], [5184, 7400], [426, 7305], [46, 668], [8977, 10004], [4366, 6953], [4312, 10100], [6824, 8406], [3128, 9118], [884, 11566], [934, 4513], [2551, 5350], [1560, 1757], [9775, 10923], [10303, 11042], [7350, 11081], [4924, 8385], [7871, 10029], [3053, 9883], [646, 11401], [395, 1202], [7934, 8099], [2571, 2969], [5714, 8689], [3976, 6367], [60, 1855], [9211, 9245], [2349, 8225], [3285, 5695], [6465, 10516], [4308, 9176], [6667, 10650], [4404, 8884], [8602, 10076], [6107, 8741], [2461, 8816], [2653, 8986], [7417, 8115], [4549, 9238], [6596, 8905], [2220, 9104], [191, 10016], [495, 10427], [5686, 9623], [2456, 11074], [1985, 2821], [488, 2840], [4939, 7888], [7053, 9531], [2636, 7477], [311, 11249], [2282, 5444], [1943, 5978], [79, 4483], [9788, 9949], [2572, 2739], [1450, 6045], [3038, 8396], [1254, 1969], [4065, 5230], [379, 8158], [3966, 10886], [4594, 11209], [2997, 4608], [2224, 8822], [4079, 5286], [3800, 5871], [3141, 6989], [3206, 5886], [3758, 6399], [7495, 9071], [1929, 4336], [1958, 9992], [5499, 5959], [146, 8687], [211, 6830], [2539, 2575], [765, 1754], [2915, 5306], [2442, 2642], [5155, 8778], [6247, 6761], [10037, 10602], [2064, 6631], [2523, 11117], [4768, 11523], [6418, 8336], [10533, 11183], [10111, 11490], [570, 8052], [2173, 3541], [6532, 9754], [3043, 6780], [3170, 8053], [926, 11255], [7994, 9899], [582, 5029], [3037, 6211], [5194, 10934], [681, 4254], [1511, 11127], [6234, 8003], [3058, 4055], [5083, 6407], [6113, 9928], [4024, 10035], [4591, 9328], [472, 2575], [819, 6820], [3012, 4060], [711, 5974], [4707, 9661], [1519, 10614], [7938, 11064], [890, 994], [4690, 11185], [4998, 9086], [5810, 8964], [839, 7822], [4566, 7177], [2503, 8505], [9820, 10105], [2855, 5924], [948, 7765], [2591, 7571], [7356, 8056], [6485, 10981], [4243, 10092], [5516, 11119], [4926, 7870], [856, 11559], [199, 7088], [753, 8428], [6721, 10699], [129, 11230], [3460, 10585], [1867, 3726], [6729, 8308], [1065, 3038], [6166, 9134], [8005, 8852], [2222, 5580], [1150, 8249], [3545, 5970], [6067, 8374], [2387, 3203], [4632, 7773], [4105, 10508], [2261, 4784], [3785, 8840], [2732, 3615], [6465, 9174], [2518, 5349], [3724, 10816], [1262, 6211], [2356, 11437], [7177, 11100], [6585, 7024], [8990, 9597], [6035, 6557], [421, 4814], [116, 4178], [169, 7222], [855, 10933], [2914, 5699], [4502, 8050], [4588, 7070], [9753, 11461], [505, 6390], [1098, 7658], [1502, 5267], [4611, 7993], [3403, 5863], [3616, 6910], [2900, 10904], [1838, 10851], [4353, 10586], [2871, 9385], [2151, 6063], [4162, 10237], [337, 8095], [2295, 2809], [1183, 6803], [2172, 10323], [3287, 3594], [4125, 4693], [174, 9794], [1306, 4924], [8144, 10461], [5692, 8796], [1014, 4523], [171, 3080], [4061, 4119], [5776, 7743], [6235, 11475], [9454, 9835], [1255, 11001], [5639, 8411], [2846, 10617], [2973, 5474], [9278, 10548], [3648, 8272], [2643, 8753], [7025, 9500], [6135, 8211], [4485, 5736], [870, 4370], [7337, 10526], [85, 653], [5855, 9325], [7687, 11282], [2083, 10227], [3966, 8739], [8647, 11031], [767, 3841], [2857, 6588], [2723, 4144], [825, 7229], [10415, 11283], [1917, 5212], [5093, 6908], [2937, 5793], [509, 8686], [4218, 6681], [9373, 9630], [6052, 9465], [1809, 11536], [3624, 5942], [4278, 4480], [7502, 11128], [3087, 5737], [2774, 4459], [716, 6131], [7340, 10019], [843, 1742], [5127, 8370], [2233, 3354], [5722, 9711], [7596, 11113], [7613, 8084], [2351, 10930], [116, 4796], [10468, 10893], [1910, 4017], [3477, 5491], [2535, 9704], [4398, 7564], [76, 2364], [478, 6316], [3807, 10506], [3, 2825], [2114, 4197], [1718, 4197], [9221, 11437], [1747, 9853], [4603, 4963], [8498, 8598], [4202, 4619], [4148, 7766], [6515, 9855], [1591, 2143], [4581, 6867], [1838, 8436], [1745, 5993], [2643, 7143], [6070, 6206], [1046, 7712], [968, 6301], [462, 7661], [6966, 9912], [705, 4386], [2286, 2560], [8385, 10010], [2504, 10367], [7239, 8758], [9887, 10335], [3282, 7251], [7702, 10734], [7017, 10631], [2691, 10193], [4936, 10599], [4556, 4716], [2312, 7164], [1818, 10793], [1725, 9848], [2752, 7436], [5157, 9255], [4682, 10682], [4954, 8926], [7641, 9677], [7517, 7921], [5105, 8341], [8291, 10725], [6199, 7151], [442, 5854], [3494, 5040], [3239, 10183], [3369, 9475], [5071, 6478], [4515, 8475], [9895, 10576], [4790, 6236], [812, 1600], [8155, 10837], [2117, 7046], [6845, 10682], [3760, 6098], [765, 10829], [6902, 8183], [1572, 6199], [1210, 11445], [1334, 6785], [1112, 1488], [114, 3140], [1074, 5168], [4348, 10405], [110, 5650], [172, 7282], [8476, 9323], [3216, 8078], [6120, 11530], [6387, 9430], [2536, 6067], [7212, 9513], [2252, 6308], [848, 2354], [4342, 9055], [1938, 10090], [6205, 6915], [3803, 8777], [5573, 9856], [1464, 7955], [784, 8196], [4671, 4800], [10307, 11028], [10405, 11563], [4326, 7017], [446, 5168], [9809, 9997], [1629, 9685], [2236, 7653], [271, 5352], [1919, 5502], [1492, 10353], [4506, 9055], [1803, 7771], [3172, 8506], [524, 6929], [4378, 7557], [4161, 9774], [1762, 11153], [3407, 6868], [2283, 10101], [6025, 10488], [4495, 5863], [2165, 9291], [1258, 3891], [7331, 10120], [2469, 3286], [693, 11060], [1226, 5107], [5730, 9035], [2531, 10553], [9229, 9664], [941, 5123], [538, 10368], [5445, 9805], [2869, 9794], [3327, 5010], [4199, 11355], [3299, 9378], [92, 6117], [2999, 9086], [9589, 11138], [157, 4260], [8128, 11568], [6447, 9026], [64, 8233], [6996, 10022], [8467, 11034], [4201, 4985], [4039, 10319], [3863, 8373], [1960, 11114], [10568, 10937], [4606, 6202], [5662, 7938], [7954, 8190], [550, 7345], [206, 7535], [338, 9906], [1264, 6688], [983, 10610], [3691, 5822], [3191, 4718], [49, 6770], [3399, 5421], [8168, 9812], [5117, 10474], [1600, 2069], [9406, 11030], [2687, 3872], [233, 5544], [1589, 8326], [1570, 4112], [7700, 10875], [403, 9927], [5635, 9124], [243, 6262], [5485, 6147], [7030, 11080], [66, 10507], [876, 9558], [8579, 10470], [1805, 3605], [303, 3280], [3518, 10566], [9511, 11204], [278, 11329], [4786, 7085], [80, 4928], [3414, 9462], [4156, 4437], [8646, 8659], [8482, 9756], [309, 3445], [1384, 10149], [5088, 7800], [415, 3871], [7476, 7760], [7384, 8925], [446, 8819], [9281, 11277], [3488, 8071], [4362, 4663], [11125, 11339], [8508, 9075], [9776, 11256], [1291, 10308], [6602, 7354], [6996, 11445], [5445, 8195], [868, 10390], [5720, 10120], [2800, 10299], [5694, 8899], [5687, 7728], [8147, 10008], [921, 1356], [89, 1957], [8987, 10399], [6052, 9546], [3636, 7538], [6395, 9885], [3449, 11095], [2575, 8087], [7047, 7596], [5961, 7149], [6833, 7078], [4496, 9335], [3596, 7358], [1820, 5710], [1326, 9339], [77, 6454], [3562, 5495], [8159, 10368], [6416, 11112], [755, 9523], [4652, 6815], [966, 7491], [2934, 9309], [10176, 11324], [1303, 6130], [1926, 9519], [1366, 10616], [3644, 3992], [3427, 6209], [5734, 7493], [2959, 3889], [3519, 9181], [5105, 7699], [649, 2307], [4663, 7354], [3885, 10470], [987, 8718], [2084, 7045], [5969, 6986], [11041, 11186], [1294, 8646], [477, 6172], [360, 5587], [1791, 9452], [8949, 10241], [10563, 11561], [2008, 11372], [446, 3826], [7922, 10374], [6129, 6867], [3016, 6651], [5982, 7571], [1997, 7426], [10770, 11258], [1374, 4037], [5947, 10768], [4478, 10583], [2251, 10726], [6039, 7324], [3976, 8652], [184, 2486], [4192, 6964], [3486, 5984], [986, 6557], [3573, 7858], [511, 1568], [357, 7517], [3657, 6805], [2729, 6944], [4090, 10070], [1752, 3057], [8673, 11073], [6025, 9496], [6612, 6812], [2689, 3381], [3900, 9946], [1603, 2934], [3817, 8191], [4677, 6605], [7321, 10692], [4246, 7550], [7358, 7541], [2869, 5419], [5021, 7546], [7877, 9826], [1488, 10716], [6885, 8260], [8405, 9164], [2849, 10809], [2298, 6734], [5068, 9994], [3629, 6985], [10177, 10289], [4723, 5795], [141, 7646], [330, 10551], [1751, 5060], [4557, 7977], [1761, 5748], [5767, 10153], [724, 5193], [7636, 8959], [1631, 7560], [3499, 11426], [8776, 9642], [1118, 1333], [4481, 5107], [8531, 9811], [2858, 4455], [10834, 11353], [5944, 9641], [180, 6419], [121, 9222], [6222, 11083], [284, 4490], [3639, 7649], [9117, 10285], [1916, 5635], [3722, 6371], [833, 8869], [858, 9865], [4903, 10061], [6892, 10504], [2107, 6334], [9920, 11548], [609, 6128], [3219, 11385], [3807, 11555], [1935, 10199], [5214, 8610], [630, 3972], [3455, 11103], [70, 2817], [4077, 10103], [1845, 10656], [6358, 10166], [288, 4208], [598, 2182], [7213, 8236], [2366, 3188], [9967, 10963], [6629, 8939], [1992, 6919], [5937, 7665], [2924, 4647], [7875, 10772], [3259, 7377], [9568, 9941], [8950, 11060], [1541, 5707], [5006, 7506], [680, 7068], [6781, 8929], [7304, 10956], [1022, 10215], [6903, 9858], [148, 7207], [24, 5451], [1421, 8234], [8078, 8098], [3004, 3071], [4843, 9205], [4876, 5181], [11446, 11462], [2969, 6268], [4782, 11181], [541, 6909], [2013, 11529], [3498, 9995], [6144, 8493], [3212, 9409], [7847, 10602], [1875, 5179], [5548, 6927], [844, 3685], [3461, 3697], [9653, 11338], [7000, 9417], [4450, 4965], [5351, 9796], [8245, 8396], [812, 9065], [7262, 11080], [1907, 10729], [4044, 6906], [2550, 11360], [4785, 10324], [11261, 11308], [1638, 5616], [7522, 8940], [888, 3583], [4005, 10334], [6925, 7903], [1636, 1756], [170, 1088], [4399, 7255], [6336, 7508], [4350, 11500], [1358, 2943], [1886, 5314], [1765, 7239], [3439, 8610], [8220, 8874], [10375, 10518], [3713, 6900], [1197, 4688], [9786, 10877], [1319, 6371], [7255, 9885], [2281, 2810], [9319, 11411], [811, 11068], [1341, 3686], [1088, 3240], [9341, 9480], [1836, 7829], [2739, 9323], [2149, 6074], [5753, 6527], [587, 2665], [7995, 10045], [4002, 6629], [8555, 8921], [5561, 6707], [1175, 6218], [3780, 4715], [1758, 8296], [2658, 3857], [504, 2788], [2317, 6947], [2687, 5726], [1596, 11351], [3091, 10505], [4464, 4566], [1818, 3816], [4902, 8175], [8154, 10455], [6784, 9495], [2862, 7420], [5601, 9115], [4484, 8601], [6533, 9095], [5848, 8992], [2056, 2826], [3198, 6588], [949, 3030], [4848, 6784], [261, 1875], [5437, 9808], [2533, 4104], [1757, 4637], [5559, 9239], [5285, 10168], [8733, 10108], [1070, 1455], [5023, 8478], [2688, 11562], [2719, 6711], [4271, 6399], [983, 2210], [1261, 10068], [5889, 7838], [7167, 9209], [7690, 11236], [451, 7984], [1025, 10730], [2484, 3811], [195, 7240], [30, 9647], [1840, 3709], [5133, 8242], [2860, 5788], [6531, 7463], [213, 7819], [158, 1696], [2451, 4802], [457, 1763], [9178, 9569], [3474, 11316], [3137, 8890], [2762, 3351], [10814, 11587], [3854, 7750], [2414, 8303], [7944, 11129], [1473, 10489], [325, 8410], [3809, 10259], [9134, 9647], [1097, 11141], [3339, 5614], [2810, 5270], [8907, 10395], [3905, 7688], [7969, 9092], [2243, 2944], [2742, 4577], [1154, 2226], [1123, 2913], [6177, 9917], [3522, 4917], [4886, 7560], [5262, 10291], [1803, 9438], [7128, 11078], [3081, 10809], [741, 7133], [1052, 10967], [302, 3299], [1199, 7230], [7804, 11068], [4910, 6052], [3850, 6072], [7554, 10139], [7076, 7131], [7702, 10791], [3321, 10646], [6330, 9758], [8785, 10940], [6975, 10462], [3098, 8130], [3776, 11226], [10032, 10746], [2368, 4120], [131, 7739], [3625, 3860], [1337, 6790], [2498, 7576], [9055, 9488], [1061, 1230], [1069, 5255], [1272, 5614], [7880, 8969], [2426, 4475], [9464, 11578], [312, 6969], [928, 9187], [1764, 9459], [1230, 2355], [6408, 11115], [4713, 11149], [9671, 11275], [7682, 8580], [767, 10932], [2966, 7987], [77, 3315], [4037, 5093], [1513, 6026], [4056, 9307], [10002, 10099], [2344, 5954], [2347, 5471], [1139, 3341], [5020, 8044], [1909, 5245], [1539, 4214], [1322, 5677], [9281, 10716], [6540, 8948], [7792, 9098], [750, 3007], [280, 6276], [7563, 9046], [1710, 5035], [6659, 7327], [222, 10435], [2622, 7746], [468, 3294], [8835, 9848], [970, 7854], [722, 10758], [3050, 10667], [2732, 4908], [1365, 10635], [890, 1482], [6994, 7024], [7610, 9242], [5089, 9692], [8110, 9565], [7704, 8877], [3067, 4605], [2007, 4625], [256, 11143], [10558, 11461], [3663, 8019], [8852, 10552], [6488, 8734], [4552, 5673], [5426, 6429], [5116, 7701], [4734, 11571], [5950, 11310], [322, 5697], [3080, 4436], [2775, 10970], [1775, 11041], [3153, 3194], [8060, 9047], [9, 4419], [408, 8100], [4047, 7608], [3178, 11360], [3009, 9107], [311, 8167], [6125, 6588], [2883, 4272], [4295, 8087], [1277, 7731], [6365, 9458], [3158, 6197], [1027, 7556], [4158, 11007], [3911, 8097], [5024, 6957], [2386, 10232], [5156, 7076], [3027, 10036], [7860, 8962], [3428, 3964], [8417, 10573], [6103, 8118], [93, 5621], [2723, 6592], [104, 9917], [5085, 5331], [4150, 4299], [160, 10980], [1056, 11303], [844, 6694], [2798, 10334], [3047, 11038], [3233, 8010], [8964, 11092], [2367, 11279], [5931, 8950], [2868, 9575], [6154, 10685], [10052, 11585], [2413, 7490], [6117, 11557], [3978, 11547], [3851, 10274], [559, 10847], [8828, 10450], [5831, 8719], [2761, 8173], [5775, 11039], [9595, 9804], [1974, 4006], [962, 1064], [4705, 10721], [443, 2162], [6481, 9336], [4225, 11023], [6591, 7252], [8402, 10584], [2415, 4129], [5286, 7441], [2796, 6450], [6653, 7349], [1270, 4950], [76, 6690], [734, 8353], [2596, 2605], [4347, 5886], [6145, 9013], [1007, 9451], [3660, 9120], [971, 7542], [881, 11032], [6767, 8767], [6822, 8474], [4370, 10973], [7386, 10502], [1604, 10838], [2217, 2959], [916, 11218], [4980, 9212], [4367, 10675], [2127, 4197], [5050, 7699], [7748, 8639], [7534, 10373], [2369, 3730], [4989, 9675], [1472, 5434], [5799, 8726], [1969, 6240], [3495, 7713], [9028, 10056], [3857, 11512], [433, 10468], [187, 7029], [373, 3247], [6931, 8767], [6617, 11051], [4036, 10696], [8795, 9481], [6718, 11103], [2288, 6932], [8609, 11011], [2038, 6003], [2219, 2631], [859, 9529], [4246, 11445], [2068, 5845], [3277, 11583], [6962, 10682], [8783, 9097], [7960, 9784], [101, 1219], [4144, 11168], [4250, 11564], [7139, 9820], [6362, 10128], [1744, 5906], [5959, 8957], [350, 7558], [9880, 10807], [5114, 10851], [1260, 10223], [4360, 8699], [6135, 10122], [6068, 8900], [2155, 11075], [3430, 5759], [2611, 8874], [8676, 11078], [4455, 8936], [3051, 9146], [6779, 11355], [5812, 8156], [3162, 3500], [3781, 5235], [4375, 9357], [5589, 6771], [3603, 10009], [5062, 9506], [3371, 4024], [3503, 6395], [3661, 7735], [1168, 3063], [7515, 8363], [507, 7518], [3275, 7699], [2628, 3916], [3022, 3089], [1440, 8073], [991, 9967], [36, 1867], [9590, 10428], [58, 5598], [1928, 11045], [3389, 4953], [3366, 9665], [3170, 5589], [627, 2308], [2368, 4901], [8087, 9878], [926, 8791], [437, 5594], [206, 3217], [3597, 9039], [3015, 5651], [2786, 5599], [3130, 3157], [2071, 6785], [7265, 9662], [11074, 11271], [4837, 10303], [5181, 10113], [5463, 6793], [2264, 10563], [1163, 1914], [256, 9346], [8574, 9565], [2781, 5605], [1470, 2596], [4890, 6904], [5679, 11494], [3422, 9573], [9096, 11367], [7040, 7450], [712, 7118], [3461, 8747], [3607, 8572], [3366, 5477], [2366, 4050], [6600, 11315], [3016, 11514], [3525, 9671], [7432, 7681], [7626, 10930], [3693, 10975], [986, 8037], [6996, 8282], [2889, 3044], [575, 589], [4320, 4657], [5691, 8471], [2575, 10990], [2635, 11041], [2007, 11472], [1458, 4814], [1422, 2151], [5938, 8348], [6683, 7004], [5181, 5925], [10843, 11122], [84, 6364], [640, 2115], [295, 11502], [4092, 5180], [5427, 6331], [1067, 7063], [6335, 8923], [110, 8716], [4960, 7619], [416, 6544], [2255, 5508], [2809, 6848], [1997, 4718], [11396, 11456], [3065, 4559], [4018, 5416], [1243, 2566], [8992, 10239], [4546, 5535], [6041, 11105], [6951, 8108], [2811, 6894], [2298, 11247], [4354, 8748], [10121, 11487], [555, 1411], [1895, 10076], [8536, 9407], [3075, 7906], [3028, 8060], [932, 11160], [7866, 9612], [896, 5087], [8310, 10003], [7646, 10777], [860, 8813], [1634, 5955], [5364, 11243], [4901, 9267], [6776, 8642], [4413, 9678], [2383, 6982], [1892, 10128], [5891, 6973], [3193, 6033], [7572, 9515], [230, 5384], [3396, 6392], [190, 5985], [2629, 7388], [3861, 7660], [4430, 10032], [5550, 10063], [10469, 11015], [1911, 11309], [9779, 10568], [1744, 5719], [752, 10569], [3214, 7260], [6282, 6979], [2183, 6520], [2486, 4077], [6324, 10588], [5008, 6481], [368, 10579], [466, 5452], [4253, 11274], [1701, 9405], [8407, 9131], [2829, 7045], [8555, 9783], [4012, 11562], [9260, 11292], [6839, 8186], [3417, 7969], [8984, 9142], [9729, 10050], [4130, 9339], [4058, 7019], [2540, 10325], [4493, 6947], [3249, 5160], [2590, 9688], [3749, 9647], [2417, 5007], [2412, 4663], [2183, 5365], [2281, 5900], [2711, 5484], [2664, 5638], [4123, 9299], [1096, 4693], [1311, 1649], [3233, 7286], [5576, 8227], [2530, 5823], [930, 2711], [601, 3933], [3551, 9258], [3355, 5182], [7226, 8423], [7004, 9542], [1498, 4858], [9368, 11360], [6562, 8443], [3671, 10114], [935, 6438], [3149, 4525], [2077, 7948], [1521, 9945], [1013, 4816], [5438, 8643], [2611, 4849], [1176, 5746], [4696, 8006], [2105, 2799], [2633, 9334], [3600, 8369], [705, 10298], [1018, 8543], [9294, 9317], [10293, 11273], [4408, 7724], [8293, 9917], [1629, 9636], [160, 3035], [2718, 8102], [1787, 3806], [5837, 8510], [443, 11237], [727, 4580], [7284, 10656], [4612, 10937], [9469, 11011], [6114, 7098], [2191, 8585], [9157, 9204], [4047, 5274], [2216, 10335], [2185, 8016], [2562, 4556], [256, 6126], [2209, 2748], [2090, 4746], [10020, 11299], [906, 3010], [6564, 10717], [1805, 5516], [3119, 8796], [1808, 5033], [1550, 10659], [5913, 9444], [831, 1146], [2400, 2693], [3418, 8863], [56, 8697], [1988, 10104], [7500, 11570], [3825, 6743], [709, 9262], [9076, 10154], [2759, 6948], [5133, 9454], [9825, 11181], [2253, 8308], [4474, 8320], [10408, 11007], [1048, 9078], [1853, 7785], [6045, 8408], [3275, 5902], [3028, 4490], [9093, 10858], [2273, 3648], [7341, 9604], [1273, 7102], [2121, 2473], [94, 10628], [1276, 5121], [188, 9509], [3160, 6487], [3903, 10732], [2313, 8308], [3567, 8531], [733, 3566], [7666, 8963], [1131, 10028], [3777, 9280], [759, 8170], [628, 9407], [4086, 10035], [1839, 2386], [3955, 7108], [1283, 5137], [9937, 10967], [5362, 10579], [3717, 7694], [5427, 8722], [5582, 6381], [7500, 9610], [6225, 6258], [4229, 8808], [4053, 11026], [7783, 9898], [7405, 7471], [3702, 7012], [7867, 11474], [5596, 6437], [2162, 3951], [1234, 10506], [10630, 11311], [1392, 5430], [6829, 7311], [1230, 6600], [2510, 4634], [15, 9715], [10439, 10962], [3880, 8223], [7718, 8348], [751, 3340], [2063, 3541], [8277, 9251], [8836, 10935], [2181, 5482], [4011, 6612], [2557, 8213], [7932, 9216], [380, 7719], [2515, 7987], [1584, 10861], [3298, 7844], [6087, 8902], [488, 8191], [3979, 4795], [2239, 11472], [2948, 10471], [1697, 10923], [4596, 9867], [6275, 11582], [451, 8309], [2861, 11226], [1853, 11436], [1638, 8064], [1791, 10558], [4561, 5150], [4024, 7197], [175, 497], [882, 8495], [8330, 9612], [3127, 8901], [2712, 10379], [1342, 10173], [8718, 8970], [232, 4414], [1660, 2346], [3769, 9307], [3550, 4281], [2930, 8737], [1374, 11559], [7472, 7487], [4263, 9815], [875, 7674], [7874, 10685], [6432, 8913], [1549, 3454], [722, 10815], [5820, 6814], [3048, 9897], [4142, 8707], [4352, 5319], [8428, 8992], [8123, 11362], [5126, 8877], [556, 8833], [2954, 7229], [7496, 8231], [7711, 10105], [2011, 2172], [6427, 10417], [4536, 9011], [5055, 7132], [666, 2962], [9077, 9788], [3931, 3949], [569, 3029], [3595, 10416], [166, 1858], [4620, 11341], [5026, 5613], [6165, 9858], [4520, 6973], [6665, 10181], [7941, 8473], [3643, 3667], [8101, 9105], [873, 6796], [1931, 2943], [7588, 10048], [5320, 7938], [9055, 11318], [1823, 11519], [10386, 11569], [1296, 5586], [4071, 9190], [4558, 8554], [3376, 7645], [8174, 10522], [2914, 9277], [2518, 9277], [1448, 2193], [1361, 10118], [3876, 11351], [1781, 1844], [3475, 11007], [1570, 7259], [5307, 7302], [79, 8224], [344, 9461], [129, 1171], [6147, 7693], [1895, 5514], [2548, 6833], [2794, 3856], [9423, 11498], [3139, 4268], [3796, 9493], [6807, 8678], [4850, 8904], [6346, 10912], [3536, 11259], [2985, 7184], [6581, 9274], [2603, 4638], [4380, 9140], [6955, 8926], [6306, 10732], [1095, 3744], [1604, 1901], [1001, 10498], [4712, 8566], [4115, 4146], [3860, 10043], [3862, 10089], [2520, 11177], [7527, 7812], [1723, 10079], [4672, 8386], [7034, 7879], [1208, 7943], [5944, 9942], [1677, 6701], [501, 8990], [9993, 10257], [9709, 10498], [5657, 9131], [5433, 10177], [2503, 9668], [2632, 5352], [4187, 5311], [5651, 9316], [7046, 11272], [2595, 6224], [9945, 10216], [261, 5746], [3124, 5033], [971, 1183], [9410, 10057], [2846, 6974], [2995, 9726], [5140, 6518], [4338, 5076], [1566, 8159], [8063, 10020], [659, 9175], [4864, 11538], [1526, 8760], [5951, 8423], [2949, 6348], [1123, 1173], [5018, 8972], [5135, 9557], [1002, 3098], [1520, 4781], [6160, 6318], [7968, 10133], [5449, 11410], [88, 2943], [2931, 8371], [1923, 9335], [4070, 6200], [10412, 11156], [343, 1183], [6399, 9717], [2104, 10844], [3071, 8381], [6366, 7325], [2169, 9741], [2513, 9551], [1100, 5511], [4837, 5554], [2416, 3202], [3689, 9891], [3074, 11281], [7921, 9913], [1785, 3335], [9374, 9595], [3935, 10297], [255, 962], [3157, 10003], [4888, 5492], [4550, 8880], [2549, 4670], [539, 4104], [4692, 4799], [1371, 4634], [440, 1092], [5260, 7700], [6529, 11237], [4352, 10743], [1081, 9941], [1795, 2868], [2189, 6205], [3968, 5118], [3482, 8608], [4679, 9825], [4720, 10580], [1193, 7903], [2817, 9157], [6588, 8030], [7111, 10057], [1037, 10773], [473, 2329], [5398, 6479], [9040, 9668], [5117, 10401], [3145, 7683], [2780, 6996], [2023, 4573], [5670, 8106], [7105, 7209], [2815, 8680], [7719, 8600], [1083, 3197], [1337, 4245], [4702, 11098], [2052, 6442], [2896, 11493], [2108, 9757], [2232, 5097], [6375, 6582], [1702, 2653], [4167, 4523], [2686, 6206], [2011, 6791], [1598, 11348], [2190, 2592], [725, 11194], [2719, 7817], [1759, 3537], [1408, 1802], [1323, 6390], [2374, 7782], [2071, 3809], [4063, 10185], [6947, 8097], [2005, 5441], [6258, 10504], [876, 8330], [7350, 8487], [3210, 11437], [1187, 3496], [4170, 7803], [689, 5471], [708, 3269], [5728, 10689], [3517, 9867], [8656, 8873], [4224, 7285], [2512, 3932], [7718, 8324], [7088, 7928], [2979, 6027], [2261, 9948], [857, 10158], [3205, 11443], [1133, 8521], [823, 3377], [9016, 9566], [8947, 10927], [2374, 10010], [235, 10754], [9918, 10835], [3960, 9282], [4744, 9364], [1134, 9096], [661, 6432], [1072, 8218], [2689, 8301], [8511, 10747], [4798, 9600], [10218, 11477], [5602, 8082], [1926, 9446], [3954, 11315], [5255, 7974], [6253, 9705], [1211, 9851], [8073, 10147], [6309, 6604], [1383, 8645], [5488, 6640], [1487, 2552], [2879, 4237], [599, 7782], [5187, 9129], [3124, 4041], [3464, 10525], [635, 6658], [1746, 8855], [6603, 6677], [10271, 10333], [558, 8131], [1580, 4621], [196, 6961], [1084, 7423], [7247, 10162], [5313, 7174], [6510, 9869], [3893, 7605], [4548, 11249], [9113, 10949], [651, 1125], [680, 6027], [4329, 10387], [8054, 8161], [4354, 11383], [829, 3117], [7962, 9326], [2508, 4832], [4044, 10403], [5069, 7164], [2328, 3144], [4562, 9053], [3970, 4977], [6523, 9700], [2342, 6233], [661, 1439], [4838, 8170], [7415, 11035], [8905, 9845], [1790, 9103], [2872, 6398], [224, 4821], [5265, 6702], [6610, 9295], [727, 8825], [5111, 6235], [4639, 7179], [5270, 10429], [6258, 8089], [4293, 5788], [7030, 10820], [6720, 9840], [8523, 9147], [5043, 8171], [8456, 11308], [1510, 11341], [8136, 9640], [3158, 5075], [4685, 9402], [1877, 9822], [3931, 11414], [3341, 4001], [5247, 8351], [4032, 5050], [1597, 4520], [4396, 6266], [3330, 6471], [4711, 10973], [5289, 10455], [2589, 8688], [3885, 4249], [813, 7040], [1620, 2410], [2406, 3319], [3113, 11317], [524, 6937], [1496, 4818], [876, 5110], [3293, 3556], [4659, 7026], [1142, 9201], [423, 3852], [3602, 11481], [10506, 11222], [5406, 11390], [6213, 6760], [3761, 9259], [1889, 7149], [5132, 6657], [5342, 7433], [2890, 5768], [2513, 9982], [5216, 11266], [5185, 9701], [3853, 5815], [88, 10140], [828, 8452], [788, 11305], [4303, 6051], [2754, 10044], [6613, 11016], [7986, 9241], [9689, 11350], [3705, 7822], [3813, 5635], [5838, 7987], [821, 4248], [977, 10423], [2844, 5773], [1789, 10301], [5027, 8711], [8785, 9631], [876, 3955], [2187, 3931], [5573, 9409], [4606, 6210], [1743, 6923], [3494, 3788], [2310, 8468], [1682, 8899], [27, 5326], [1271, 1451], [1530, 9259], [2958, 7191], [9423, 9514], [5813, 11498], [306, 1708], [545, 3976], [1792, 6034], [3409, 10281], [205, 7291], [2390, 4640], [294, 9992], [1821, 7903], [52, 7426], [10124, 10500], [2593, 4218], [7603, 10950], [2064, 8038], [8225, 10704], [10562, 11076], [565, 2699], [6046, 11268], [3023, 9814], [1922, 7581], [160, 4865], [3773, 8814], [8599, 8821], [254, 10162], [4829, 11304], [1337, 4676], [4444, 10739], [308, 10398], [1330, 6888], [1667, 4029], [7592, 9606], [6341, 10812], [1701, 2859], [2701, 7669], [666, 4629], [1637, 10953], [10496, 11553], [8799, 9232], [2028, 7576], [6083, 6208], [2901, 11113], [6407, 8025], [6699, 7645], [3050, 8203], [5295, 8609], [2117, 10250], [1564, 9512], [934, 9116], [6973, 10099], [5156, 8450], [8220, 9151], [3640, 8419], [2024, 10436], [5071, 10032], [1425, 3691], [5688, 10940], [5820, 11059], [1608, 1863], [1534, 3634], [4902, 7752], [4862, 8353], [1655, 5092], [10192, 10337], [4285, 5309], [1849, 8341], [6768, 8539], [8, 1380], [10441, 11041], [789, 1945], [1048, 9753], [2437, 5478], [2146, 4548], [4618, 8343], [7049, 11383], [284, 10296], [375, 3244], [3145, 6504], [5333, 10540], [4977, 8461], [2021, 2567], [3244, 4231], [6382, 8853], [2449, 5488], [6597, 9946], [4572, 7594], [5291, 7281], [3264, 8266], [733, 858], [7336, 10285], [5656, 9099], [3999, 4699], [4661, 10268], [3283, 5283], [3157, 6864], [1906, 8070], [7726, 9689], [3245, 5930], [354, 11011], [4184, 7081], [8444, 9151], [6579, 8966], [3769, 8559], [2805, 9041], [5348, 6660], [1141, 1972], [10705, 11221], [5545, 7174], [2680, 7060], [7408, 11450], [63, 7802], [1242, 2024], [27, 5139], [4519, 6778], [8528, 11481], [2616, 3103], [3385, 8569], [2793, 10909], [1838, 2809], [6227, 6979], [3085, 8277], [1048, 4410], [2013, 7536], [280, 8968], [6806, 9315], [3919, 6224], [5152, 9350], [5718, 5789], [3882, 6342], [9599, 11246], [5070, 11203], [6951, 9669], [5595, 6887], [3821, 8318], [478, 5950], [2193, 9574], [4458, 8380], [7694, 10127], [230, 5067], [2286, 6732], [2351, 7881], [3893, 6881], [7822, 8592], [5014, 9766], [4670, 9956], [382, 5838], [6266, 9162], [2219, 8893], [2520, 5623], [1031, 3251], [1802, 3128], [8164, 9460], [659, 7809], [1893, 8908], [1459, 6172], [4043, 6044], [6293, 10958], [5543, 9706], [5634, 5660], [1856, 3364], [5295, 6194], [2619, 8985], [704, 10211], [3259, 9345], [955, 7578], [4595, 7688], [8896, 9759], [6344, 10142], [4035, 6533], [3472, 7359], [2666, 9181], [4366, 4603], [1095, 10217], [10775, 10781], [8066, 11180], [41, 1357], [1534, 4602], [7793, 9301], [1346, 10967], [3829, 4371], [1566, 9021], [9071, 10672], [5241, 8186], [473, 11567], [7219, 9968], [1653, 5233], [8375, 9656], [2145, 5695], [4452, 6979], [4827, 6102], [5605, 6396], [3726, 3869], [2141, 8205], [4228, 5019], [6101, 9983], [932, 5850], [2826, 5275], [5472, 10189], [1952, 2267], [4472, 4598], [6180, 11215], [5872, 6898], [10292, 10381], [1519, 2385], [4662, 8105], [10505, 11428], [4034, 4372], [4934, 6349], [337, 11275], [3601, 8654], [2223, 10839], [2381, 11425], [2286, 8155], [1684, 3391], [4178, 4501], [3775, 9746], [3592, 10793], [785, 7651], [1809, 5722], [1277, 8113], [7194, 7413], [7885, 11468], [461, 9247], [1333, 2760], [4144, 6021], [2206, 5543], [626, 3807], [2238, 10716], [5786, 7854], [4201, 5774], [1890, 7000], [1060, 9926], [2142, 7221], [3627, 5687], [3575, 5497], [5662, 8727], [1538, 5794], [6123, 7624], [9440, 11053], [5460, 11252], [4560, 9275], [980, 1302], [4183, 7073], [6053, 6104], [327, 3366], [5769, 6345], [6305, 6325], [7444, 10570], [1250, 6266], [5587, 10246], [6072, 9537], [5826, 6098], [5304, 6925], [4731, 7063], [510, 11337], [5603, 7746], [2218, 11538], [1055, 8427], [4551, 5375], [6605, 6967], [5607, 7865], [620, 6220], [6504, 9544], [10514, 10685], [1162, 9428], [6220, 6752], [6399, 8969], [7266, 10806], [113, 7328], [2940, 3952], [8208, 9222], [517, 4937], [5219, 7352], [387, 2612], [2076, 11431], [2288, 3208], [1006, 11517], [2938, 10672], [968, 8781], [2155, 10034], [3609, 6935], [7504, 9816], [2402, 7659], [5227, 10626], [1619, 7021], [6142, 7219], [994, 6969], [2709, 8341], [1501, 6211], [4494, 10452], [1874, 4507], [2772, 5657], [4670, 6736], [5253, 8814], [972, 5867], [3269, 6463], [7474, 8826], [4357, 11120], [5494, 8876], [2488, 2865], [1851, 5462], [5777, 8410], [483, 1919], [2666, 5611], [7459, 9642], [200, 5014], [7915, 8195], [1144, 7263], [2763, 8927], [5657, 6773], [328, 7643], [6742, 7749], [2566, 4626], [109, 2617], [575, 8274], [3899, 5704], [4737, 6803], [2130, 7479], [2722, 5139], [2498, 3933], [3678, 7398], [226, 9968], [5295, 8235], [6692, 10264], [412, 6940], [5133, 9405], [3760, 8928], [1561, 5457], [1681, 10477], [2478, 4405], [1115, 11005], [1643, 11124], [6156, 6470], [3699, 8625], [1976, 3605], [7799, 9659], [3494, 3682], [2912, 4458], [1405, 3789], [4307, 6414], [4959, 11295], [8040, 8967], [2863, 3815], [2956, 9641], [8193, 9182], [1687, 9487], [2113, 11581], [1549, 3137], [1557, 7162], [1987, 6746], [2552, 5212], [357, 4923], [680, 10272], [984, 4267], [2763, 3934], [4437, 4551], [2169, 9611], [4529, 7523], [10007, 10159], [5588, 9530], [3589, 6147], [3532, 5613], [7973, 9973], [4999, 9889], [7819, 9506], [479, 6202], [2380, 6798], [1041, 11567], [10019, 10169], [3716, 11557], [4836, 11588], [342, 2706], [4845, 5665], [6663, 10168], [9390, 9594], [960, 8353], [1242, 11449], [7364, 7771], [2604, 4597], [3015, 6383], [3318, 3940], [5460, 6877], [828, 10119], [1444, 1757], [1727, 7707], [4304, 10572], [1322, 9873], [4741, 4911], [10819, 11484], [2531, 9195], [10529, 11156], [6673, 9701], [6910, 8890], [6731, 7427], [3620, 3874], [2188, 9206], [7756, 8352], [5412, 9438], [6747, 11343], [1305, 1948], [5005, 8525], [3738, 11450], [3979, 8129], [1866, 10094], [2210, 7652], [832, 2667], [988, 9596], [2177, 5260], [1306, 8185], [5062, 8278], [3102, 4823], [4132, 6092], [181, 11193], [1389, 6907], [9042, 9210], [6763, 8439], [3038, 4249], [2850, 10614], [1260, 1774], [2863, 4433], [996, 2667], [3021, 5019], [3580, 6703], [885, 6034], [3614, 6287], [3312, 11584], [4140, 5579], [5333, 10784], [1739, 10295], [2623, 7575], [11140, 11444], [1560, 8832], [1028, 2555], [4288, 4696], [2576, 7759], [375, 455], [858, 9499], [221, 6404], [3296, 8048], [1952, 8309], [6814, 8727], [1613, 2427], [5005, 11103], [4341, 5461], [3544, 4363], [5691, 8398], [390, 11316], [1642, 10712], [7146, 8153], [6425, 8393], [671, 3607], [6581, 8152], [755, 2554], [3251, 10907], [1818, 6215], [2962, 10804], [10410, 11167], [4118, 6328], [4087, 4763], [2784, 11441], [1597, 3772], [3281, 5831], [6662, 10965], [373, 9053], [5553, 8060], [4772, 8249], [1281, 5229], [2962, 7771], [2623, 3387], [689, 1153], [5855, 8398], [2056, 5225], [717, 6584], [5099, 9583], [10171, 10777], [10900, 11152], [460, 4484], [3357, 6765], [6101, 8804], [2334, 3634], [2007, 7211], [8328, 11290], [6616, 7183], [2010, 5230], [4134, 6807], [791, 10855], [1766, 8253], [8109, 9647], [9869, 10038], [2816, 10174], [3750, 6817], [1293, 8972], [5212, 9995], [1685, 11482], [4739, 8085], [8223, 9934], [7851, 8076], [4616, 6931], [8064, 9123], [321, 8058], [8993, 9586], [2033, 5749], [1056, 1862], [8313, 9827], [1969, 8208], [92, 8760], [185, 8951], [364, 4752], [3328, 4091], [1183, 10682], [5135, 8435], [1763, 6827], [8249, 9253], [5014, 10360], [7686, 10079], [3223, 3516], [3042, 4636], [3565, 6663], [7405, 7585], [8613, 9715], [2194, 2849], [1493, 8629], [4201, 11011], [3382, 7710], [6305, 11212], [6334, 9698], [4539, 10252], [4026, 4779], [1760, 3496], [1078, 2910], [2066, 10369], [10032, 10917], [5491, 8605], [285, 1961], [10584, 11430], [2332, 8798], [2647, 7089], [9364, 10414], [3731, 4457], [6625, 9473], [3584, 11577], [2550, 7156], [6070, 8662], [10488, 11318], [7057, 8349], [343, 8705], [4, 9239], [2131, 4728], [5277, 9965], [3107, 11396], [2544, 9970], [4101, 5838], [235, 7859], [3633, 10688], [54, 5569], [5532, 8205], [389, 7545], [1755, 2347], [1634, 10688], [379, 3824], [133, 385], [7228, 10274], [1813, 11370], [1529, 5949], [476, 724], [1035, 2408], [1656, 4970], [2834, 8389], [2089, 8235], [33, 154], [1060, 3404], [3393, 3657], [6008, 10012], [1524, 8234], [7945, 9511], [901, 2593], [7067, 9767], [493, 1078], [1614, 8127], [864, 3465], [494, 2434], [4291, 8944], [3910, 9252], [171, 1966], [1301, 6849], [2861, 7152], [1419, 4626], [256, 1515], [5868, 6595], [4159, 9175], [2037, 6890], [1014, 10175], [1092, 5170], [2442, 8107], [1871, 4908], [6548, 9710], [5333, 6409], [3614, 5295], [3796, 7029], [2184, 9919], [835, 9836], [7153, 10234], [2764, 6064], [4608, 9536], [11066, 11442], [9581, 10724], [3755, 4372], [291, 6181], [4380, 10059], [6804, 10430], [7573, 8726], [5581, 5733], [3874, 9140], [1231, 7907], [3590, 9381], [4366, 8848], [171, 1511], [12, 7116], [5542, 5778], [4266, 8617], [2241, 6265], [4727, 9766], [6043, 6703], [2428, 6091], [3028, 3612], [184, 5129], [4301, 4639], [5497, 9418], [7220, 10651], [248, 10217], [2579, 3227], [5228, 7658], [3315, 6301], [3507, 6471], [2796, 10809], [107, 9231], [3226, 10393], [1132, 5992], [5342, 5693], [3931, 5486], [4648, 10008], [2542, 6728], [1231, 10135], [326, 1398], [166, 3395], [1497, 7810], [351, 2394], [631, 11079], [6977, 7109], [163, 9513], [5423, 10758], [1727, 4300], [1658, 2251], [3316, 9505], [1496, 8339], [6707, 8911], [5795, 9583], [5394, 8485], [8651, 11109], [8071, 9302], [218, 10351], [6045, 6725], [123, 665], [6414, 8285], [7534, 8316], [316, 10105], [523, 1538], [8113, 10652], [10009, 10904], [2113, 3181], [578, 11044], [4845, 7869], [7186, 7983], [7962, 8204], [1792, 10710], [2286, 4829], [2015, 10193], [3777, 7247], [5272, 6401], [1822, 9798], [4841, 7346], [1847, 5132], [6291, 9009], [8577, 9416], [3615, 5384], [5137, 9367], [402, 8724], [3300, 7443], [3448, 3931], [4695, 9399], [5285, 6232], [7117, 8943], [4176, 10497], [8648, 10006], [2478, 10260], [8046, 8625], [2669, 6795], [6502, 6546], [4031, 4107], [266, 2016], [1661, 10388], [348, 10716], [6617, 8189], [5237, 8793], [6892, 10114], [130, 8544], [8, 445], [4584, 10857], [821, 3931], [480, 10054], [3312, 7022], [2689, 7797], [695, 4758], [1940, 10153], [7406, 11274], [7447, 11275], [711, 8674], [1908, 11369], [2211, 8172], [5292, 6598], [3210, 3712], [1856, 4039], [2415, 5723], [7567, 9098], [272, 4813], [5592, 6109], [4105, 10980], [2421, 5888], [929, 10415], [5036, 5073], [1758, 9516], [4182, 9887], [5300, 9091], [3228, 11057], [4154, 7839], [3596, 9009], [4305, 8008], [7474, 8533], [975, 10009], [7754, 10802], [8191, 10803], [2057, 6550], [4030, 8712], [7657, 10869], [475, 8905], [8534, 11142], [1034, 10589], [8964, 10726], [2305, 10035], [4454, 7727], [4320, 5283], [2005, 9743], [89, 2453], [5324, 7583], [2984, 10323], [317, 4532], [3111, 5180], [5535, 5551], [9609, 10649], [5156, 8938], [5792, 6116], [212, 9619], [4966, 6562], [1016, 8855], [2079, 8352], [4407, 8261], [2734, 9744], [1576, 6977], [8016, 8304], [2811, 7520], [2899, 7367], [1608, 5734], [3117, 8758], [1687, 3583], [3084, 6366], [327, 8229], [141, 4841], [6972, 9961], [6165, 8175], [4515, 4946], [5633, 10566], [3742, 4996], [3367, 3621], [7563, 9648], [3107, 4256], [1370, 8198], [3429, 10134], [1557, 1608], [3164, 8173], [831, 1504], [5719, 7307], [2455, 2758], [581, 6991], [5381, 10695], [6434, 8750], [964, 10893], [3321, 9288], [802, 6401], [3001, 3456], [4188, 4709], [2629, 8014], [449, 2341], [5366, 8882], [5068, 9417], [8875, 9475], [3850, 11480], [6020, 10803], [3215, 10740], [7473, 9731], [1525, 8866], [8531, 8884], [3205, 7019], [5230, 9371], [8652, 10342], [5940, 11224], [1246, 6418], [2519, 6691], [939, 11371], [4201, 8677], [1145, 8995], [832, 4334], [933, 11556], [3894, 11378], [4692, 8914], [1328, 1505], [3351, 7194], [3454, 3909], [639, 10328], [9396, 11375], [1516, 4185], [3135, 5849], [6808, 7597], [1013, 3564], [6116, 6323], [8110, 9362], [8476, 11405], [6707, 6764], [1258, 6778], [3443, 7133], [979, 7363], [263, 7947], [9879, 10970], [8814, 10646], [1291, 1973], [3206, 6439], [3421, 7559], [5544, 7036], [1160, 3210], [9157, 10985], [5540, 9546], [6142, 7894], [2178, 2964], [1706, 3154], [4265, 9577], [7375, 8741], [6162, 6267], [8030, 10133], [6158, 8777], [3228, 4104], [810, 5433], [10951, 11310], [397, 9990], [458, 4227], [1111, 5546], [37, 1726], [7230, 11396], [10129, 10340], [7104, 8813], [4058, 10573], [4767, 9572], [6917, 10118], [635, 5967], [1996, 9093], [38, 1547], [1706, 2349], [1898, 8935], [5265, 10199], [3914, 7037], [273, 1040], [4198, 10179], [2111, 6949], [3159, 5414], [2546, 6877], [7021, 10067], [2315, 3746], [1256, 7374], [1846, 4207], [9812, 11171], [7203, 8768], [484, 8026], [1029, 5116], [1058, 10772], [2495, 9167], [6099, 9620], [2549, 9403], [10119, 11449], [4518, 7659], [2677, 7868], [3983, 4871], [1708, 8006], [92, 4361], [10360, 11511], [2860, 3788], [1244, 6559], [9539, 11547], [3319, 8274], [4939, 6376], [1448, 3356], [1262, 4886], [484, 3838], [2466, 9526], [2311, 6205], [5714, 6372], [4406, 9296], [4838, 9707], [8322, 11556], [3064, 4722], [7890, 8893], [8387, 9699], [574, 3731], [1909, 7888], [5744, 8466], [6983, 9909], [4777, 5267], [6946, 10781], [3610, 4666], [4764, 9943], [781, 799], [8402, 9226], [4823, 10523], [3020, 4800], [4328, 7511], [498, 5025], [6657, 6864], [5655, 11026], [6462, 9806], [2386, 3881], [920, 3213], [1360, 9901], [2723, 3274], [4345, 7865], [1265, 6631], [205, 7405], [10357, 10408], [863, 6062], [3258, 7193], [2258, 8018], [8287, 8313], [5363, 11002], [7259, 11254], [3995, 7459], [2725, 10113], [595, 10219], [1603, 3593], [3363, 10400], [2196, 10523], [381, 9701], [6286, 7486], [7280, 9098], [4611, 8896], [3016, 3122], [4053, 7814], [6632, 7342], [1242, 7936], [4330, 9785], [4755, 9025], [11262, 11574], [4220, 5483], [7528, 8796], [1205, 8808], [8873, 11389], [7027, 11254], [4439, 9728], [3792, 5945], [5750, 7075], [2672, 5914], [3006, 5036], [6207, 8482], [5069, 7091], [355, 3161], [976, 5723], [5495, 9185], [3432, 4097], [9718, 11373], [1664, 7228], [4931, 10540], [5301, 9319], [3059, 8430], [4334, 6120], [8668, 10583], [1598, 8860], [1407, 5128], [285, 8434], [352, 10410], [388, 5903], [3552, 6084], [5427, 11121], [3651, 9473], [4265, 5202], [999, 11160], [8724, 10111], [6620, 9186], [1205, 11036], [4166, 4442], [5511, 7035], [960, 4035], [497, 2813], [1424, 8865], [4761, 11418], [6473, 9109], [7469, 10794], [262, 2946], [2254, 2906], [5970, 8488], [3534, 4350], [5068, 9848], [1537, 3265], [9945, 10574], [3242, 3949], [4215, 11100], [2781, 8435], [1850, 4893], [8562, 8628], [661, 6977], [7944, 9747], [6299, 6862], [939, 2003], [8564, 8674], [5205, 5773], [2736, 5659], [688, 8019], [4666, 11157], [3607, 8369], [3051, 3950], [6254, 9721], [2068, 5910], [5619, 8981], [3597, 11064], [1425, 9416], [8152, 10019], [545, 8091], [4466, 10695], [1443, 9241], [2625, 3734], [2248, 7948], [642, 4991], [565, 3081], [6703, 9705], [4743, 5496], [4146, 7492], [10212, 11052], [193, 10268], [5138, 6025], [2178, 3395], [3215, 7333], [8313, 10502], [2284, 3791], [1654, 9811], [3951, 10407], [4820, 10819], [496, 628], [1645, 5561], [3613, 5127], [6159, 8679], [307, 8276], [5498, 6718], [1802, 7430], [425, 5299], [1012, 2615], [3425, 5049], [6061, 9275], [8743, 9682], [3165, 9848], [3690, 6286], [4259, 8658], [7024, 11574], [8449, 9235], [3655, 7231], [5003, 9341], [4774, 7791], [1785, 5921], [444, 9863], [1278, 3646], [1909, 6896], [2470, 2991], [5649, 10620], [1568, 4351], [2618, 8524], [3573, 3792], [2080, 11100], [1366, 6095], [2336, 6559], [6818, 7510], [5218, 10060], [4350, 11004], [5002, 8715], [5372, 7494], [6932, 7797], [1149, 4525], [240, 8878], [5899, 10394], [10381, 10591], [2074, 8252], [415, 773], [2094, 2488], [72, 10233], [8862, 10262], [227, 7892], [4247, 9721], [1415, 5583], [1100, 10675], [6112, 7654], [4152, 10615], [3438, 4856], [2064, 7160], [2807, 4989], [374, 7538], [56, 2533], [3113, 8479], [4422, 4999], [342, 1584], [1677, 3489], [837, 5727], [5379, 6729], [6380, 9512], [9119, 10453], [5191, 7432], [1172, 2041], [2556, 10224], [1271, 6184], [8666, 9195], [51, 1785], [2822, 7899], [2142, 8140], [9518, 11101], [1015, 6938], [4754, 7808], [1886, 4013], [1571, 2689], [239, 5219], [2260, 10081], [7363, 9430], [1415, 7811], [489, 4613], [2843, 5743], [5809, 6663], [5270, 5631], [2561, 10194], [288, 4330], [4954, 11252], [1946, 5168], [941, 2643], [2558, 9896], [722, 10449], [3647, 8362], [4428, 8173], [5486, 7326], [751, 2519], [4329, 8167], [8687, 10772], [9029, 9755], [7343, 11033], [1248, 6708], [10605, 10968], [2331, 4605], [1145, 6206], [7590, 7877], [4845, 7121], [2078, 3378], [4438, 8460], [2685, 4352], [5551, 11484], [2414, 8962], [6198, 8851], [5963, 9708], [3184, 8614], [3178, 4635], [8183, 11023], [540, 7910], [5984, 6798], [6051, 8774], [1837, 9331], [5799, 11182], [5973, 6639], [2958, 9964], [2397, 7453], [4348, 5160], [1180, 7489], [1770, 10738], [4485, 7875], [9643, 10341], [7031, 8421], [9333, 9361], [3977, 6156], [3323, 7618], [2149, 10734], [559, 1894], [5032, 10673], [1269, 3747], [1479, 4523], [2506, 4363], [1699, 2577], [111, 980], [1172, 10230], [917, 2541], [1174, 10276], [1441, 7422], [2781, 9671], [8450, 9623], [3025, 10031], [2376, 5421], [3282, 11350], [4550, 4863], [3270, 3419], [2841, 4437], [2495, 3800], [535, 9013], [3621, 7783], [8060, 11316], [6857, 9530], [10047, 10932], [126, 11437], [332, 4897], [2381, 5391], [9548, 10430], [6437, 7631], [5566, 10556], [3911, 6983], [3047, 11079], [1235, 9774], [1134, 3306], [6887, 7867], [7117, 10773], [1356, 11232], [1731, 11109], [487, 9322], [3116, 5961], [271, 7223], [7539, 8961], [4746, 11167], [2346, 2522], [4997, 8534], [2119, 4051], [317, 3434], [3064, 9154], [4860, 5038], [1227, 9482], [718, 7161], [7533, 7611], [721, 10842], [1153, 7089], [2643, 5899], [4198, 9268], [6076, 8160], [3447, 10797], [1874, 10232], [7614, 10424], [2452, 9714], [1108, 4313], [746, 9559], [684, 2265], [522, 3435], [5993, 11316], [4226, 7502], [671, 6941], [2706, 9981], [552, 9693], [2911, 7003], [514, 9209], [270, 6597], [2105, 8825], [5116, 8010], [114, 9467], [3942, 11126], [1604, 4113], [7643, 9260], [1729, 9477], [7429, 10994], [1156, 3199], [476, 9856], [6059, 10034], [7038, 9860], [3557, 8282], [7292, 7498], [2839, 5787], [5172, 6040], [589, 10672], [6537, 9285], [625, 3913], [7911, 10364], [654, 2399], [3360, 8118], [873, 7398], [1991, 10766], [9582, 11437], [586, 10751], [4660, 9433], [7339, 11077], [4842, 8915], [8147, 9301], [8177, 10641], [7523, 9851], [789, 3913], [1313, 6542], [2443, 7261], [795, 5613], [2255, 7964], [412, 11510], [11243, 11418], [3407, 3746], [1745, 6172], [695, 11044], [2397, 3883], [4055, 11137], [3542, 9074], [2924, 3777], [713, 5207], [4259, 7934], [6779, 8013], [5345, 6102], [121, 4514], [4386, 11092], [3537, 4916], [610, 11094], [1665, 3560], [544, 10474], [2142, 6343], [2106, 4434], [1575, 4017], [2377, 3207], [4529, 6832], [11251, 11255], [2872, 9602], [2624, 9500], [2166, 7868], [9069, 11171], [286, 2487], [3995, 6898], [3517, 3890], [6517, 9302], [5609, 9716], [2338, 2498], [1631, 11496], [1912, 10203], [1279, 10290], [3773, 11400], [412, 7672], [4106, 11051], [4706, 8572], [6941, 7536], [3921, 10517], [10392, 11157], [2481, 4654], [6402, 7258], [10827, 11085], [1425, 10465], [2110, 4152], [988, 3294], [1418, 9294], [2010, 6954], [1702, 2637], [2847, 10080], [2252, 6487], [7145, 8470], [1102, 3581], [5659, 9779], [8789, 11130], [386, 1913], [2695, 4024], [8518, 9324], [10252, 10746], [1164, 7842], [1446, 10938], [2468, 10434], [2411, 7648], [2032, 11035], [690, 5707], [2995, 3912], [4858, 8188], [4328, 4990], [1781, 10635], [2249, 5785], [147, 1523], [2110, 2997], [5265, 6068], [4179, 4867], [4788, 5914], [4134, 7376], [58, 7867], [2487, 8582], [4858, 5155], [2304, 9629], [7378, 7486], [4764, 11155], [1741, 4039], [5976, 7742], [2676, 8454], [4417, 11047], [1363, 8028], [8646, 10798], [10542, 11050], [1366, 8299], [2364, 6647], [335, 10969], [1450, 10656], [1042, 9141], [4347, 8773], [3069, 11539], [7793, 11269], [1224, 7842], [1745, 6790], [3204, 10451], [98, 826], [650, 1339], [10456, 10875], [4071, 9255], [3706, 8568], [4322, 6622], [896, 8161], [3518, 8517], [2729, 7310], [888, 1103], [5497, 7491], [5029, 5171], [3788, 9317], [44, 6605], [5532, 9929], [2628, 4225], [5406, 10756], [1294, 5174], [7071, 7877], [7110, 7805], [6487, 8580], [10377, 11117], [8220, 9777], [4579, 10196], [1561, 9840], [432, 5559], [7787, 10649], [2467, 9353], [6908, 7297], [5703, 11100], [9550, 10557], [2391, 3127], [281, 9527], [1122, 3727], [3670, 7352], [939, 10436], [3428, 11202], [641, 6837], [5446, 5967], [1356, 1864], [7806, 8797], [7339, 10085], [6181, 9570], [830, 5955], [1410, 2100], [833, 10390], [3744, 5961], [473, 11575], [1068, 8752], [4461, 8231], [1539, 1921], [7137, 11075], [4871, 10546], [5211, 6450], [436, 8660], [2829, 8964], [258, 3635], [192, 5267], [4046, 5895], [6532, 7144], [1895, 5124], [778, 8774], [831, 8408], [8869, 9768], [901, 6895], [2792, 6803], [118, 10421], [1298, 10503], [6688, 11040], [2667, 11238], [241, 8542], [3316, 5268], [1171, 5443], [4063, 9632], [1880, 4442], [2934, 6105], [7770, 10964], [480, 7777], [6364, 11101], [1851, 8585], [6427, 8417], [598, 8964], [5357, 8503], [3251, 5223], [2711, 7753], [900, 2886], [691, 2712], [3242, 10772], [6750, 10763], [6722, 8715], [3308, 8359], [402, 5992], [4323, 7842], [1269, 1413], [740, 5233], [1330, 2066], [3016, 4952], [270, 2840], [4819, 5013], [834, 4868], [5536, 7283], [7220, 9342], [448, 11248], [5499, 8155], [7462, 8875], [9222, 10020], [3778, 6214], [7518, 9938], [2727, 7451], [136, 6408], [4905, 10799], [196, 797], [2565, 7123], [3683, 6327], [4211, 6446], [8343, 8516], [4298, 9074], [962, 2959], [2336, 10454], [720, 6809], [8182, 11042], [615, 2851], [3142, 6353], [7692, 11380], [1185, 1661], [498, 11311], [1830, 9535], [7931, 10642], [1487, 8415], [6848, 9712], [1208, 6748], [6598, 9537], [296, 3256], [454, 11012], [2175, 9166], [981, 6742], [862, 9494], [84, 8446], [3929, 5578], [9135, 9970], [10317, 10879], [4984, 7843], [6613, 10195], [5147, 9527], [4951, 5451], [2530, 3099], [2215, 8191], [4338, 6914], [3653, 6811], [6576, 10313], [1597, 2894], [561, 8226], [6765, 6802], [1310, 2837], [1334, 7395], [4229, 8849], [3415, 6646], [2556, 4670], [123, 4967], [3941, 5938], [1829, 10757], [10194, 10822], [180, 4720], [10195, 11424], [5463, 10298], [3166, 6292], [10000, 10956], [3529, 3900], [4031, 9214], [6493, 7403], [6400, 11376], [285, 11337], [720, 11265], [6177, 8860], [3586, 7817], [2559, 3813], [619, 7426], [1186, 3309], [64, 6615], [4267, 7397], [4671, 5760], [521, 3858], [1646, 4233], [658, 10737], [6933, 7301], [4973, 6098], [5449, 6027], [1110, 1220], [3751, 5790], [3628, 6888], [1976, 6996], [4780, 9086], [3789, 5493], [7025, 7240], [1758, 11240], [5937, 5966], [11276, 11476], [1102, 3207], [5365, 8958], [4780, 6053], [6242, 9231], [265, 3464], [4184, 10903], [2410, 5918], [4151, 9265], [9660, 10460], [1260, 1514], [8531, 9185], [5303, 11463], [5389, 10483], [1629, 9490], [2558, 9953], [1503, 11071], [7633, 11418], [4388, 5421], [2834, 8316], [2022, 6940], [427, 9834], [5998, 8497], [3645, 10975], [896, 2176], [5842, 7203], [2208, 2377], [6786, 9452], [9525, 10393], [711, 6560], [5351, 8097], [458, 1950], [3262, 4040], [3599, 6843], [2350, 4712], [2351, 8320], [4412, 10329], [171, 1893], [8214, 10767], [3156, 6273], [1268, 10800], [368, 8823], [3621, 8295], [2692, 5580], [7795, 8339], [3439, 9944], [4206, 5915], [1155, 9583], [2626, 4179], [5024, 11243], [1590, 8757], [2037, 10200], [1373, 10974], [7316, 11495], [1311, 9342], [4671, 7183], [4789, 11376], [2249, 11022], [6440, 11043], [4883, 8759], [4475, 6490], [7432, 9576], [5045, 6054], [3857, 10992], [4716, 6552], [777, 9758], [3795, 10114], [5679, 8851], [2131, 9461], [1293, 1946], [3476, 5638], [2667, 3025], [5029, 8180], [5524, 8159], [7554, 10855], [971, 9250], [6081, 6764], [3906, 7851], [3242, 8625], [6599, 8447], [1232, 7305], [7667, 8288], [2715, 4944], [2837, 10791], [3998, 10823], [6262, 9027], [8603, 9141], [3842, 9529], [8806, 9500], [7603, 7714], [1459, 9189], [530, 2310], [3833, 5279], [1304, 5868], [2178, 2460], [4975, 6789], [2263, 3507], [4852, 7887], [924, 9030], [3291, 10365], [6498, 7210], [7890, 9649], [4538, 10171], [6212, 11542], [587, 9610], [9639, 10605], [1759, 3415], [4444, 7503], [772, 8609], [6252, 7908], [445, 5770], [6086, 9336], [1294, 3995], [8200, 10979], [9377, 11544], [8356, 11492], [1135, 3184], [9283, 11128], [5016, 8641], [4121, 11172], [7784, 8068], [8405, 11384], [2340, 9180], [1756, 9129], [4920, 5146], [4235, 11459], [1303, 3707], [9618, 10825], [7376, 7684], [3114, 5541], [2369, 4633], [2365, 7143], [8860, 8931], [2700, 9873], [4358, 10711], [3069, 5017], [8423, 11559], [620, 11197], [9569, 10559], [3719, 6065], [11079, 11499], [3256, 4843], [5907, 10101], [5470, 9346], [7123, 9840], [1970, 2830], [3188, 3396], [822, 7167], [3003, 10032], [860, 6870], [700, 8867], [5930, 7991], [2131, 11234], [2371, 9940], [9033, 10148], [1213, 7173], [4485, 11583], [4665, 10238], [2805, 3227], [1127, 11536], [432, 3575], [1063, 7579], [9681, 11500], [7874, 10539], [3163, 10290], [6499, 9989], [6160, 6359], [3570, 8170], [1118, 10669], [6363, 9347], [138, 5730], [578, 10166], [5115, 10824], [8705, 10817], [3564, 5322], [4400, 5594], [5375, 8654], [5606, 11061], [3938, 7226], [8377, 10759], [5491, 9768], [2058, 4474], [3552, 4157], [2511, 8391], [243, 619], [5502, 10307], [3009, 5635], [9242, 9867], [4006, 4512], [2364, 8314], [3415, 10460], [2443, 6163], [2634, 3479], [213, 1127], [7033, 8337], [5498, 9784], [4937, 5021], [2946, 8669], [2745, 4249], [4090, 6842], [3305, 8787], [8630, 11181], [7016, 9861], [3627, 8249], [1525, 3987], [7907, 10971], [7064, 9528], [873, 5495], [3452, 8433], [6607, 11504], [2894, 3941], [1397, 1708], [2243, 2668], [1300, 8191], [3609, 3886], [3509, 5934], [5138, 8286], [527, 5235], [9393, 10012], [3848, 9537], [5415, 10257], [2731, 9023], [6396, 6746], [2639, 9434], [4659, 5026], [3688, 10753], [6988, 7789], [4245, 9358], [3156, 4476], [363, 6682], [4458, 10405], [9437, 11408], [8568, 8744], [1216, 1673], [5453, 8455], [3371, 9733], [1406, 8186], [884, 9013], [2407, 3799], [1097, 10060], [2000, 11554], [5572, 6834], [5360, 9395], [3705, 5822], [7435, 11110], [1898, 11277], [100, 1734], [9363, 9365], [10987, 11373], [218, 10091], [3977, 7449], [9763, 10238], [1427, 2243], [2452, 9584], [5344, 7357], [5750, 8799], [10101, 10233], [5997, 8676], [1205, 7499], [265, 6123], [4869, 8003], [4559, 7023], [5465, 5782], [200, 4193], [3663, 5165], [5924, 10268], [9604, 9777], [2469, 6905], [8637, 10742], [5184, 10458], [4213, 9769], [3027, 11370], [4930, 5623], [6327, 10658], [322, 9259], [1991, 10286], [1494, 3064], [2828, 11160], [27, 2171], [687, 11077], [2249, 11453], [2829, 7598], [4885, 5099], [2794, 11549], [2419, 9420], [877, 4004], [1247, 2783], [1023, 3829], [3947, 10185], [10170, 11477], [1204, 3086], [1632, 1843], [2659, 5847], [2017, 2408], [8538, 8827], [5060, 10176], [1781, 5349], [4346, 5171], [3353, 7167], [1691, 8839], [4344, 8508], [8235, 8237], [9226, 9578], [827, 9902], [3215, 9862], [8535, 11158], [2938, 4858], [4762, 9206], [5758, 7481], [3748, 10325], [1338, 1746], [2812, 6439], [1628, 11119], [967, 9158], [2887, 7552], [1644, 2203], [1239, 10785], [6815, 9792], [7503, 7914], [7776, 9012], [400, 3799], [2353, 3831], [8206, 8596], [7407, 10835], [1356, 8337], [86, 5329], [6705, 8873], [7836, 10194], [4720, 7051], [2688, 3528], [10437, 11201], [410, 730], [698, 10030], [6147, 7010], [2307, 3836], [1539, 8394], [9561, 11503], [1037, 10627], [5729, 8190], [5385, 8380], [7606, 7638], [7506, 10440], [1470, 9728], [2932, 6490], [318, 3743], [6068, 11039], [277, 1490], [1051, 7300], [490, 2537], [1742, 4185], [9460, 11047], [4797, 7806], [561, 11048], [52, 8727], [7309, 10276], [808, 10925], [4187, 8816], [3597, 5567], [675, 11335], [1143, 7239], [7311, 10322], [7390, 8171], [1015, 7239], [801, 6721], [2847, 3534], [4906, 11132], [5868, 7571], [5281, 11009], [4557, 4562], [6272, 8186], [6774, 9336], [2411, 4135], [4083, 4679], [9810, 10271], [6412, 7442], [5515, 9146], [4331, 8164], [2284, 4710], [4142, 8642], [1901, 9109], [5473, 6641], [1899, 8282], [896, 2420], [1859, 8883], [1026, 8128], [6222, 7668], [10642, 11151], [2140, 7590], [3749, 4402], [5961, 6580], [959, 3873], [5434, 7063], [9360, 10011], [363, 8723], [722, 3179], [1291, 5551], [83, 3421], [35, 6413], [819, 6495], [6173, 10785], [2587, 4495], [1410, 3930], [7421, 9281], [10217, 11510], [4245, 5333], [2800, 5542], [8714, 10960], [4822, 7596], [5914, 9743], [2048, 7600], [3455, 11071], [2419, 9233], [6617, 10425], [3456, 7509], [242, 9493], [1171, 9956], [923, 6444], [3655, 3962], [1915, 10639], [5215, 10681], [8392, 8815], [2778, 7072], [1941, 8827], [2230, 2514], [1130, 10305], [6548, 8726], [4705, 5102], [381, 6245], [4093, 10173], [1130, 7272], [3733, 8325], [7186, 8609], [149, 2862], [2169, 4870], [1812, 10460], [2182, 9239], [3851, 10266], [1425, 7570], [6349, 8866], [5222, 7664], [3350, 5554], [643, 9032], [1013, 8565], [4409, 7561], [8806, 10094], [6502, 8327], [1891, 5276], [4100, 10189], [2644, 10209], [6001, 10785], [6309, 8686], [332, 2165], [4853, 8706], [4595, 7916], [13, 5603], [5272, 7377], [10039, 10187], [3711, 9855], [2037, 2068], [2503, 7725], [1104, 8279], [2193, 8997], [44, 9053], [4022, 7273], [2587, 5918], [7999, 10186], [6204, 10740], [6302, 7865], [1749, 8202], [7902, 10253], [1751, 2613], [5505, 6043], [4484, 5991], [3701, 9517], [4518, 4821], [743, 2796], [1553, 8263], [1584, 7576], [4164, 9958], [1301, 4255], [301, 11496], [5664, 7204], [1858, 5112], [3482, 7120], [483, 10978], [2766, 5452], [2252, 2787], [5186, 10585], [2127, 7222], [3281, 6083], [8784, 10469], [826, 8284], [3213, 8019], [534, 7129], [7468, 9745], [3268, 8480], [4085, 8702], [5764, 10417], [7099, 7404], [4743, 9611], [3960, 6721], [3538, 7028], [6075, 11218], [3510, 4980], [992, 2695], [10169, 10552], [1609, 7767], [6024, 6742], [1742, 6576], [6374, 8252], [7676, 10017], [5923, 10073], [5900, 8369], [6402, 9519], [1539, 9630], [4870, 8231], [10219, 10265], [8137, 11543], [6431, 11388], [6178, 10942], [2563, 6166], [7599, 7703], [2710, 8845], [5862, 5983], [7816, 9623], [4165, 8600], [4385, 6654], [3053, 9184], [2210, 5489], [3242, 9837], [4166, 5792], [3078, 10180], [3854, 3985], [5123, 7522], [11017, 11534], [2237, 6531], [3950, 7830], [1385, 1592], [3439, 8846], [6303, 8735], [3655, 7158], [5062, 6465], [1294, 4857], [599, 4066], [5311, 7169], [9406, 10892], [9314, 11303], [1377, 3579], [2564, 4832], [1346, 2014], [6984, 9069], [1220, 5847], [6167, 8847], [7983, 10271], [4576, 6198], [8534, 11313], [1474, 10278], [4084, 9119], [6529, 10367], [1639, 7901], [4603, 11404], [7865, 8710], [3448, 8908], [1963, 4026], [8549, 10840], [6899, 8365], [5151, 8765], [9371, 11406], [4287, 6445], [5193, 5204], [401, 6279], [4506, 10690], [886, 3318], [3848, 6748], [8457, 8972], [4625, 9823], [8880, 10795], [2691, 6835], [3190, 4304], [6698, 10711], [5053, 7826], [5423, 7359], [450, 3138], [3099, 7569], [4451, 6445], [3561, 9320], [6563, 11425], [5766, 10327], [1220, 8425], [5263, 9706], [2668, 7009], [6539, 10250], [3387, 6696], [1737, 3467], [5283, 6194], [426, 458], [3824, 6697], [5434, 10527], [10012, 11186], [55, 5618], [6906, 8731], [1307, 8020], [2914, 7415], [5130, 7083], [6427, 7750], [4849, 6841], [6368, 11307], [5284, 10933], [3503, 11193], [1471, 5418], [1255, 10489], [145, 4730], [4966, 9311], [441, 7532], [1564, 11244], [5795, 8412], [7818, 9937], [3931, 11081], [438, 818], [2559, 2878], [7436, 10020], [6730, 9040], [5042, 10245], [11086, 11572], [1779, 2888], [5846, 10979], [650, 5023], [3601, 4157], [493, 7291], [5006, 7555], [3858, 5476], [861, 2991], [1986, 3366], [5248, 7088], [2662, 6389], [2142, 3879], [2880, 7780], [247, 7235], [3256, 10511], [300, 4617], [634, 3739], [3820, 6123], [386, 3637], [1728, 2549], [4240, 4265], [580, 6886], [1010, 5716], [2846, 5917], [984, 10911], [2097, 3355], [755, 5197], [7888, 10652], [734, 4320], [470, 5213], [6700, 9928], [1434, 8114], [1215, 9504], [8756, 10812], [5167, 10667], [3558, 4029], [2524, 10188], [8521, 10945], [7337, 9209], [10461, 10715], [248, 1020], [555, 7364], [3697, 3814], [180, 1825], [2981, 4398], [1484, 8581], [840, 4315], [1769, 11194], [618, 5434], [458, 1015], [6435, 7536], [8150, 8908], [5438, 9790], [8540, 11345], [4099, 11149], [1081, 10039], [10011, 10105], [2046, 6749], [1325, 10399], [1576, 7766], [84, 8129], [2911, 5507], [6276, 10108], [4713, 9507], [5702, 10021], [8194, 10304], [10025, 10161], [3361, 9126], [6351, 7434], [4042, 6077], [212, 2837], [6199, 7794], [4576, 9394], [3394, 8485], [2581, 9136], [1141, 4404], [4809, 8060], [1017, 1894], [5963, 7675], [4872, 6130], [665, 1442], [2466, 10502], [3499, 11288], [1689, 4394], [6107, 7050], [217, 6163], [3926, 10574], [251, 4993], [1710, 8654], [5020, 8630], [3055, 4831], [2143, 5503], [2901, 10780], [4539, 5324], [3078, 5000], [1925, 9747], [4012, 6561], [4196, 9122], [145, 10609], [1557, 8008], [1855, 5221], [213, 9023], [3873, 6402], [2070, 2931], [2019, 9759], [1885, 7315], [1814, 8603], [7042, 10310], [7288, 7333], [4285, 8009], [5777, 7646], [4560, 9934], [163, 11538], [2276, 3157], [5134, 6264], [4177, 7917], [2097, 4323], [9719, 10723], [7195, 7492], [968, 7212], [3805, 4524], [1620, 4923], [276, 5184], [2208, 5093], [2387, 7310], [7286, 10239], [3447, 3503], [1427, 1495], [4593, 8138], [101, 7253], [7356, 7975], [5549, 7014], [10323, 10995], [984, 4308], [5143, 5572], [7512, 8488], [4989, 5105], [952, 5524], [890, 4646], [2616, 5453], [10408, 10544], [2223, 9888], [2598, 4847], [8200, 9239], [3250, 6722], [3996, 4068], [9035, 10040], [4104, 7573], [2870, 10638], [9931, 10363], [5289, 5747], [836, 4036], [5939, 6795], [5192, 5814], [4233, 6640], [699, 3923], [51, 6331], [1264, 3143], [6735, 10270], [11217, 11221], [5743, 7206], [6639, 7529], [3864, 3925], [2645, 10304], [7039, 8402], [5451, 6051], [10244, 10836], [3181, 10284], [6734, 7766], [720, 8533], [2766, 5346], [7468, 7761], [1002, 1049], [8376, 9599], [2058, 3539], [4236, 6133], [4014, 8006], [2267, 7096], [85, 4760], [4878, 8791], [3137, 3946], [3360, 6435], [2880, 9016], [10579, 10910], [6116, 10763], [1510, 1640], [525, 8415], [3783, 7477], [5768, 10430], [2471, 10659], [945, 9940], [4116, 7128], [4054, 6250], [4551, 6302], [2973, 5393], [660, 6546], [5610, 6811], [5950, 9131], [620, 731], [2308, 2909], [2151, 5177], [1991, 7928], [4448, 5773], [8123, 11354], [2863, 7857], [1803, 7877], [3514, 6097], [6432, 9255], [675, 788], [4317, 10393], [2727, 7215], [4750, 6488], [7960, 10020], [3383, 5799], [2483, 7986], [6275, 7736], [7646, 11550], [10313, 10925], [6951, 10759], [5679, 6924], [2224, 9977], [1730, 6436], [629, 7209], [4868, 7648], [389, 552], [4489, 4619], [201, 7671], [2398, 8063], [6551, 10236], [8848, 10832], [4426, 10686], [1621, 8371], [1122, 7492], [62, 1096], [285, 6995], [7623, 9472], [2828, 4614], [7652, 8712], [3419, 10717], [8493, 9328], [3505, 10491], [3608, 7206], [7596, 11032], [810, 9068], [746, 11527], [5132, 5600], [4161, 9075], [644, 4834], [4661, 9398], [2787, 4963], [767, 2955], [6088, 7105], [1415, 3176], [986, 7200], [296, 6753], [3844, 3891], [8415, 9795], [2785, 7519], [7355, 7563], [7492, 10278], [5403, 10385], [5140, 11503], [1814, 10994], [2437, 3803], [1630, 2017], [10030, 10936], [379, 2442], [7537, 9647], [5381, 8532], [3230, 7761], [1211, 8607], [4382, 9959], [3298, 5421], [7549, 9657], [393, 8914], [1955, 9290], [9049, 9155], [1322, 2961], [353, 3099], [4750, 11294], [1548, 2715], [4929, 7095], [7267, 7692], [2126, 4449], [4679, 6166], [324, 7996], [5525, 7880], [385, 2987], [414, 3725], [3547, 8757], [1964, 6750], [3400, 8707], [2025, 10409], [1491, 3305], [7437, 8261], [9066, 10613], [4117, 10950], [1022, 1514], [2422, 10984], [4920, 8830], [6995, 10545], [6496, 7414], [3817, 6524], [5816, 6901], [235, 1134], [2397, 6201], [7089, 7928], [1141, 7063], [9893, 10018], [5373, 6331], [2358, 10410], [3062, 8311], [3693, 11561], [7294, 8333], [1139, 9619], [3780, 7773], [5244, 7614], [1347, 3906], [7637, 7918], [3807, 5432], [4500, 10314], [4899, 9831], [1852, 8737], [7770, 10891], [7820, 11008], [1970, 6514], [4827, 5232], [8563, 11466], [8718, 9125], [2558, 10067], [5856, 6276], [2334, 3943], [1253, 10256], [8280, 8899], [563, 3393], [6318, 10279], [7966, 10429], [10987, 11056], [4416, 10212], [2513, 9543], [3359, 8251], [6122, 10340], [5777, 10305], [4060, 5854], [1174, 7869], [2943, 6094], [2408, 2552], [1571, 2055], [6271, 10813], [1885, 10324], [2881, 7845], [5080, 5654], [4245, 8236], [7758, 8571], [9372, 9891], [1755, 7999], [7109, 8125], [3213, 7271], [5988, 10875], [8116, 9972], [7030, 8771], [1154, 9472], [1565, 11258], [3893, 11167], [27, 1854], [4109, 5315], [4720, 7189], [3482, 8600], [5189, 5947], [5168, 11486], [5778, 8971], [4405, 5084], [2949, 9268], [2825, 7512], [3754, 10227], [11061, 11139], [9194, 10127], [3590, 9072], [4304, 7661], [10035, 10743], [2597, 3898], [4283, 6784], [4272, 8877], [2654, 7815], [2747, 4596], [37, 8557], [5978, 5999], [2785, 10715], [1875, 8050], [2656, 7861], [10720, 11196], [2498, 5023], [1121, 2892], [713, 7793], [341, 5935], [11211, 11433], [3611, 7266], [3829, 8657], [3820, 4407], [960, 4637], [1858, 5787], [1230, 6218], [7403, 10399], [3485, 11476], [390, 9210], [1711, 6491], [4507, 8720], [4194, 10475], [6559, 8731], [642, 9431], [4121, 4520], [547, 6161], [573, 5130], [5371, 10259], [3912, 4346], [7119, 7607], [1699, 1943], [9813, 11057], [4341, 10121], [11125, 11258], [2557, 4448], [4246, 6851], [471, 4072], [7134, 11298], [2657, 11445], [2939, 10377], [3464, 6061], [1899, 5387], [3394, 4541], [3767, 9253], [9894, 10083], [7224, 10410], [1118, 1789], [4566, 8145], [6131, 8038], [1182, 2713], [1830, 7852], [1226, 2261], [7154, 11519], [1351, 6871], [1413, 8503], [179, 7404], [881, 4478], [74, 2692], [705, 6696], [2532, 8309], [1544, 4233], [16, 9103], [10752, 11403], [10310, 11058], [3746, 7975], [6268, 10379], [4401, 9367], [7945, 9015], [1027, 1270], [1666, 8545], [85, 6614], [5162, 10404], [2927, 5024], [5167, 8496], [7596, 11463], [1024, 1349], [4199, 5826], [9450, 11489], [1769, 5640], [1392, 3438], [6653, 9789], [459, 5485], [803, 9459], [2252, 8268], [1290, 5413], [10701, 11414], [2329, 10178], [1384, 8458], [988, 8458], [322, 1989], [7197, 7408], [2000, 3479], [2848, 5266], [6327, 6771], [822, 9859], [158, 10633], [3332, 11502], [435, 553], [2083, 2201], [4333, 7115], [4952, 9604], [3553, 10158], [7, 7431], [1216, 10163], [2202, 7750], [7912, 9201], [4008, 4322], [8063, 9370], [3292, 9070], [5692, 6381], [6380, 10919], [5511, 8255], [4542, 8393], [707, 4809], [6097, 7598], [8273, 10119], [2889, 11282], [6714, 7008], [5430, 5822], [2350, 3834], [4215, 8937], [1821, 10660], [2855, 8665], [1974, 10902], [8328, 10957], [2380, 5928], [7424, 11490], [7675, 8857], [6641, 8600], [1221, 9352], [6088, 10114], [1064, 5204], [873, 2226], [214, 338], [8606, 9366], [2366, 4717], [2345, 3840], [7869, 8349], [10279, 11266], [9219, 11286], [2184, 2202], [498, 3480], [2837, 7685], [2575, 5241], [3633, 4394], [4968, 5545], [1674, 10209], [1426, 10107], [1667, 6786], [2797, 7505], [1763, 6494], [866, 8952], [4937, 7363], [4069, 8307], [1046, 7607], [6991, 8174], [2409, 10025], [2223, 11555], [1970, 6945], [2992, 9851], [4122, 10570], [6615, 8826], [7195, 11387], [2154, 8752], [6986, 10459], [5575, 10252], [3489, 7624], [1873, 10395], [2991, 7347], [3915, 9718], [4083, 5330], [4191, 8081], [6159, 9899], [5655, 8676], [5257, 11259], [4161, 10124], [6492, 9550], [6934, 10649], [5026, 8882], [1380, 2541], [1957, 8938], [6769, 11521], [2003, 11565], [6483, 8683], [2969, 10375], [9378, 10137], [9815, 10892], [1593, 3938], [2964, 6998], [5288, 10171], [4668, 10463], [819, 3763], [4735, 5269], [3214, 4894], [3274, 11361], [4478, 8087], [3741, 7040], [274, 2916], [2083, 9585], [4289, 4401], [264, 11273], [1523, 8430], [7891, 8191], [6332, 10742], [7744, 8895], [4805, 6388], [1138, 11248], [1973, 2250], [3170, 4191], [7671, 9356], [6616, 7468], [2409, 11448], [6614, 6641], [845, 1577], [5653, 11558], [1747, 10016], [1621, 10843], [4709, 6276], [4113, 4710], [5479, 8180], [6074, 9521], [2795, 4694], [7538, 10116], [752, 982], [222, 9118], [6971, 11200], [5011, 9997], [9307, 10970], [1808, 6855], [1668, 10258], [4125, 8857], [3467, 10577], [681, 2620], [8819, 9876], [8007, 8500], [4584, 9556], [3147, 8128], [2746, 7030], [2689, 6496], [4337, 6646], [8659, 9594], [1467, 6188], [8760, 9646], [10718, 10776], [5171, 10255], [4015, 4151], [165, 10812], [7572, 8922], [10777, 11356], [593, 8815], [9842, 10324], [7032, 10671], [3789, 5501], [6013, 11446], [9557, 11094], [3885, 8592], [521, 1183], [1202, 3796], [8048, 10729], [10983, 11582], [6186, 10061], [3314, 8776], [2192, 7918], [2311, 3668], [6644, 10158], [6422, 11277], [5653, 6565], [137, 1193], [8321, 8794], [3682, 10865], [7362, 9620], [700, 2996], [2904, 7565], [8783, 10545], [992, 2646], [9035, 11520], [2428, 4603], [1494, 7179], [11177, 11424], [1893, 10860], [8219, 11119], [4941, 6894], [8557, 11114], [2943, 9371], [9708, 10458], [3354, 3987], [10645, 10782], [8103, 9631], [954, 3643], [4500, 6370], [3073, 11292], [5124, 8449], [2502, 8093], [4307, 5975], [5931, 7983], [571, 9540], [5500, 11180], [1375, 8022], [6175, 7562], [633, 7385], [3584, 6519], [595, 11065], [1380, 2704], [2902, 5933], [5225, 5498], [1369, 4043], [3373, 5518], [6630, 8142], [2435, 7221], [2280, 10316], [1093, 1893], [594, 5178], [1285, 8479], [6755, 7090], [4392, 8126], [777, 9766], [443, 4228], [3048, 9141], [398, 10901], [188, 2955], [6566, 7568], [5568, 9220], [366, 11363], [5970, 6756], [1572, 11168], [4882, 11144], [175, 1969], [2260, 8536], [4660, 5847], [1544, 2704], [1244, 8828], [7994, 8883], [6249, 8800], [8140, 8708], [1638, 6503], [4217, 5277], [815, 5712], [9727, 10834], [2909, 9332], [2062, 11153], [3655, 10842], [386, 6703], [8099, 8303], [1435, 8022], [621, 5065], [2938, 11201], [2690, 7689], [4077, 9030], [6128, 6187], [1845, 9583], [3402, 9615], [629, 3428], [5131, 10693], [347, 9377], [2589, 3850], [1118, 2838], [3822, 5478], [360, 944], [1792, 8417], [6067, 8513], [1358, 9091], [7397, 10074], [6712, 9971], [5148, 8014], [7775, 9468], [2474, 5216], [3651, 5781], [2745, 3989], [6418, 8743], [1714, 3249], [3523, 9918], [3554, 5067], [5042, 7968], [5858, 10217], [965, 4070], [4304, 7450], [5914, 11280], [5236, 8184], [10110, 10891], [4580, 6567], [1118, 2033], [3258, 8307], [10234, 10368], [681, 4661], [3040, 6135], [9356, 9870], [4464, 7331], [4161, 7522], [3250, 11048], [1875, 6334], [7293, 8165], [543, 8110], [416, 421], [1318, 8106], [3868, 6896], [5586, 7785], [11145, 11349], [4428, 5018], [7822, 10357], [2862, 7152], [2423, 10488], [7624, 10372], [5208, 8364], [5067, 8159], [4170, 10617], [3105, 3877], [250, 5205], [2228, 6987], [2257, 5473], [5288, 10952], [4844, 9026], [2356, 9616], [953, 6264], [1980, 6104], [6357, 6507], [4252, 6081], [955, 6310], [5375, 5629], [754, 1890], [1279, 1711], [2029, 2963], [1375, 1419], [1311, 6130], [726, 3225], [1940, 7055], [1245, 2100], [5176, 8802], [2836, 7378], [167, 11340], [3982, 6378], [1401, 6023], [2089, 10561], [2493, 11176], [5695, 6923], [2677, 6567], [3477, 4930], [3167, 10366], [9428, 9476], [4261, 9176], [1766, 10847], [749, 5279], [1578, 10796], [6256, 8653], [4219, 8950], [2138, 9672], [897, 11566], [708, 2245], [481, 3020], [5434, 9218], [652, 4565], [5340, 9556], [4094, 10352], [1356, 5849], [8816, 10009], [5244, 6061], [4425, 9176], [1033, 10299], [5608, 7277], [4892, 11271], [8283, 10677], [7789, 7890], [2028, 8349], [8535, 10898], [4889, 10973], [5076, 10799], [6664, 6734], [5599, 6410], [4606, 8406], [7006, 9881], [654, 4237], [2548, 3662], [4196, 10228], [705, 792], [1704, 8410], [8343, 11078], [7317, 10682], [2825, 3381], [1357, 8302], [1820, 3108], [4414, 8586], [5118, 6487], [9111, 10657], [921, 8903], [7335, 9009], [3754, 9479], [4499, 7381], [956, 11341], [7238, 9076], [2823, 5937], [3817, 7549], [4120, 4352], [9748, 10719], [5460, 6601], [503, 9329], [852, 10237], [6883, 10605], [547, 3185], [7515, 11047], [3802, 9146], [2317, 4264], [3086, 9730], [841, 2908], [5918, 7452], [2491, 6137], [1969, 6964], [1160, 5105], [5852, 6832], [27, 3334], [1176, 8267], [2647, 3617], [563, 10484], [5632, 7997], [3180, 10496], [714, 3483], [24, 9452], [5077, 6432], [1237, 3258], [1023, 11408], [8029, 9174], [1088, 9551], [3452, 11369], [2263, 2873], [4847, 6909], [4496, 5928], [2543, 5896], [1075, 8565], [2262, 3402], [82, 4145], [4404, 6339], [2749, 3520], [2064, 9079], [4563, 10533], [1270, 1836], [6235, 11077], [7365, 9544], [2715, 6538], [2689, 5317], [7453, 9364], [2749, 10286], [374, 3391], [804, 2221], [3186, 9506], [306, 8360], [6699, 9841], [3134, 8592], [680, 10264], [1029, 8166], [2710, 6544], [3546, 6816], [2023, 9778], [1581, 2263], [5450, 11093], [3855, 8325], [1018, 3843], [2389, 7657], [1702, 10891], [1366, 10942], [984, 7642], [8200, 9190], [395, 1585], [6339, 11376], [2501, 4865], [7889, 10991], [6087, 8122], [7766, 9837], [6861, 7516], [450, 4675], [3562, 11082], [7998, 8682], [4114, 5179], [4771, 7398], [2242, 3823], [5897, 11381], [187, 2760], [2186, 10307], [508, 5030], [1652, 9619], [3297, 6088], [4637, 8337], [4635, 7510], [960, 1929], [9621, 9684], [3327, 8182], [495, 4044], [7616, 7984], [4849, 11411], [6781, 11320], [670, 2355], [1208, 9578], [239, 9716], [7338, 9925], [4602, 8501], [3444, 5734], [1701, 6478], [1823, 8161], [3637, 9512], [6584, 11156], [1137, 1417], [1971, 7278], [3932, 5673], [8508, 9669], [8513, 10013], [1930, 8408], [5481, 11479], [3184, 4467], [753, 1427], [1849, 3316], [1033, 3696], [2717, 5755], [9413, 11209], [5014, 6351], [7247, 9406], [965, 4501], [662, 4692], [2460, 4409], [619, 1612], [2862, 5355], [253, 10122], [618, 4393], [7751, 9848], [8121, 9381], [2386, 2393], [5937, 6218], [8125, 9500], [8987, 10993], [243, 6401], [4045, 6839], [4191, 5910], [5166, 9724], [1892, 5241], [1383, 7084], [1111, 4676], [1167, 5739], [4840, 9739], [5093, 7933], [9790, 10004], [611, 7736], [891, 10005], [6242, 6450], [3152, 4528], [975, 8952], [5997, 6619], [5710, 7343], [2664, 11355], [1508, 5251], [8626, 9674], [102, 2382], [4933, 7651], [5583, 10951], [1717, 8808], [567, 10066], [1688, 11453], [6700, 8432], [7436, 10752], [5170, 6059], [2840, 3071], [3270, 9071], [9084, 10902], [3046, 7111], [3421, 6234], [458, 5585], [6461, 11075], [4977, 9047], [1090, 6027], [2139, 11510], [2421, 10442], [8515, 11132], [979, 1500], [3938, 7665], [4032, 10710], [1456, 11453], [3006, 10314], [6516, 11132], [3221, 5772], [5116, 8051], [981, 11345], [3185, 9498], [6268, 10249], [2368, 2860], [715, 3497], [4887, 9130], [8588, 9516], [690, 5130], [2641, 5089], [9215, 9614], [302, 10683], [2435, 10848], [935, 4934], [7399, 10819], [1220, 7547], [1497, 10299], [931, 7444], [2612, 9986], [4819, 7656], [1918, 5633], [3886, 7451], [7093, 10712], [7857, 8664], [6274, 7411], [4257, 9084], [3481, 9617], [5031, 8478], [3807, 7343], [1019, 9893], [787, 3908], [2440, 10818], [982, 10765], [502, 11094], [789, 10370], [2341, 10058], [8750, 9820], [9002, 10795], [2588, 4273], [973, 9898], [6441, 11092], [1054, 2158], [2999, 8688], [3296, 6430], [3521, 4828], [2415, 8667], [3597, 9576], [6227, 9793], [5873, 9295], [1634, 1686], [3507, 6650], [4904, 8679], [10461, 10642], [7343, 10082], [177, 2235], [2945, 8078], [8989, 9405], [21, 7357], [2784, 6440], [2722, 5562], [2316, 4874], [3874, 8514], [5026, 10712], [8105, 8311], [3952, 6892], [935, 9390], [6356, 10738], [2829, 5809], [5979, 8536], [3952, 10275], [1751, 9387], [2933, 10296], [3334, 4978], [2926, 9125], [2095, 2781], [5013, 5939], [1680, 10675], [1613, 3037], [2459, 10413], [3020, 6508], [3206, 5732], [9897, 10842], [3911, 6487], [585, 1814], [4788, 6760], [2957, 7657], [2178, 2257], [4263, 11076], [648, 10464], [3571, 9802], [2048, 6348], [6647, 7130], [2483, 5522], [1387, 6639], [7431, 11376], [4317, 4896], [2543, 6327], [1323, 9098], [146, 8533], [5285, 10949], [3729, 7355], [825, 1651], [1924, 7221], [1201, 4382], [1691, 4017], [4841, 10908], [719, 4638], [8972, 10124], [7633, 11483], [6490, 9748], [2099, 2499], [2961, 3992], [4174, 4214], [2931, 5281], [42, 1363], [632, 8776], [2060, 6708], [9744, 9822], [403, 2308], [3829, 10568], [7509, 9323], [1332, 8406], [9021, 10366], [10203, 11275], [4286, 5559], [6660, 8065], [2799, 4014], [1458, 4546], [1924, 9449], [4782, 8392], [869, 10567], [1020, 8484], [7355, 11515], [7449, 11150], [732, 4819], [3106, 7325], [7196, 10704], [3290, 3470], [6304, 7090], [4554, 6663], [5863, 8845], [390, 5055], [1187, 5399], [4242, 11272], [3639, 6283], [1223, 4275], [1257, 10275], [254, 4413], [438, 6974], [61, 4772], [6967, 11002], [9028, 9601], [3460, 8203], [4396, 5673], [7837, 10858], [4160, 8614], [6943, 9827], [4228, 7028], [1831, 2818], [55, 7586], [531, 9767], [684, 10763], [5560, 7881], [2922, 7746], [4345, 4580], [1826, 5857], [45, 6117], [6650, 9955], [4411, 6331], [4688, 4919], [3535, 8912], [2127, 5970], [1005, 5112], [5544, 6597], [1044, 11456], [5179, 5910], [7109, 10654], [2806, 8510], [7549, 10926], [1844, 2649], [388, 9839], [1030, 6862], [2988, 7992], [311, 759], [1539, 2767], [4106, 4944], [2116, 10692], [5103, 5319], [9899, 11533], [3216, 7038], [7123, 10710], [3823, 11422], [1464, 9948], [10961, 11559], [1233, 7571], [3380, 10852], [2542, 9753], [7310, 7503], [1911, 3470], [4311, 4945], [197, 9116], [1262, 9440], [7075, 7636], [6426, 9442], [1254, 1628], [7490, 9541], [8223, 8934], [3865, 4077], [4907, 9113], [2216, 4456], [2219, 8137], [6320, 8642], [6760, 8914], [8403, 8720], [4583, 6922], [5445, 8415], [7282, 10716], [716, 4554], [1024, 2455], [1703, 11411], [5595, 8359], [5999, 6722], [6649, 7770], [6148, 10228], [1511, 8208], [4222, 7855], [8991, 11492], [6460, 10500], [5162, 5444], [545, 8994], [3401, 11274], [4648, 6162], [2029, 10241], [3495, 4493], [7380, 10850], [6865, 8684], [5145, 10351], [5735, 11348], [6506, 7061], [658, 3394], [3123, 5264], [3051, 10114], [8750, 11406], [4519, 10828], [8306, 10234], [1584, 3559], [6439, 9222], [4384, 8159], [8248, 9475], [3107, 3980], [6903, 10265], [2918, 4458], [4819, 5054], [2224, 6521], [3934, 9801], [7702, 9157], [3352, 4161], [7913, 9377], [1603, 7342], [3502, 11275], [3280, 5978], [721, 2938], [5175, 6005], [27, 5001], [1622, 2107], [715, 3123], [6934, 9177], [5750, 7441], [1555, 3514], [894, 3805], [6100, 8197], [62, 10822], [1775, 11367], [3702, 10932], [1209, 6260], [4963, 9690], [1616, 10556], [9845, 11514], [10569, 10791], [8196, 11139], [8798, 10241], [4772, 10095], [670, 9365], [2781, 6573], [1943, 9638], [3534, 9254], [1626, 7487], [3286, 11404], [602, 3754], [2195, 10613], [2026, 4196], [9653, 10940], [4431, 6769], [4369, 10055], [413, 10648], [4520, 9470], [3453, 9073], [6915, 9820], [4257, 7555], [6380, 7032], [10428, 10909], [5442, 8735], [2233, 8811], [2231, 5732], [4445, 10989], [6964, 9712], [2578, 2807], [1215, 6024], [4723, 6015], [6307, 8624], [2850, 10850], [4565, 8058], [2758, 11261], [3839, 5702], [2011, 10280], [4158, 7145], [1854, 6132], [9402, 10139], [262, 7045], [3370, 9546], [908, 4187], [4985, 7304], [6177, 8901], [6757, 11462], [4138, 8371], [4790, 6082], [4079, 4758], [244, 1928], [1651, 5399], [806, 9545], [4383, 5169], [436, 2098], [3357, 4773], [9177, 11310], [7437, 11571], [3535, 6765], [7738, 8301], [208, 2621], [882, 1811], [1131, 4767], [138, 10146], [11375, 11496], [107, 8581], [7227, 9667], [6232, 8584], [5012, 11355], [1221, 8043], [2362, 2535], [7881, 11588], [3583, 9788], [2280, 10804], [1368, 11476], [5886, 11330], [4986, 9353], [3321, 5092], [2452, 8844], [678, 3859], [3455, 8290], [3572, 8875], [1522, 8910], [751, 2617], [6535, 8743], [683, 7586], [743, 1975], [6716, 8000], [821, 6769], [1543, 2967], [1921, 8777], [10071, 11132], [4472, 10421], [2962, 3819], [5451, 10247], [6120, 10571], [4649, 9559], [4124, 6705], [3157, 3506], [2723, 7186], [3334, 9060], [2530, 6791], [8846, 10526], [6636, 8394], [1280, 4435], [3456, 6956], [8158, 9371], [1938, 6098], [8619, 10520], [7528, 8975], [7, 7545], [2834, 4169], [6727, 11141], [1402, 3085], [1, 6976], [868, 8813], [1794, 5595], [2805, 9066], [6599, 9643], [998, 1689], [4943, 8851], [853, 4748], [2749, 5000], [923, 6241], [2444, 10780], [7361, 10905], [2225, 11416], [1569, 9799], [2104, 6925], [1949, 10020], [5837, 9478], [1047, 4964], [10092, 11204], [2010, 11427], [202, 442], [1936, 8280], [6011, 8318], [1095, 11047], [1434, 10513], [369, 4527], [7719, 8519], [2058, 6930], [2736, 3610], [5304, 9365], [2902, 11227], [872, 8531], [65, 6745], [1997, 6654], [6004, 10530], [2733, 9728], [2865, 5683], [96, 5277], [750, 4569], [1185, 3743], [3442, 4940], [1976, 4272], [5506, 7220], [647, 6319], [3133, 7568], [9359, 9875], [887, 9189], [3437, 3815], [2540, 9683], [577, 8963], [2165, 4144], [3378, 6618], [4938, 11085], [4305, 7008], [2689, 9025], [449, 3301], [631, 4281], [944, 9696], [2656, 6633], [1823, 4380], [890, 6427], [4458, 10633], [1225, 6151], [561, 6925], [3682, 4750], [1906, 9518], [10968, 11201], [5584, 8200], [8440, 9726], [5386, 7461], [1864, 9292], [4928, 6583], [6163, 10536], [559, 9481], [6254, 9900], [5256, 11552], [2706, 6346], [3105, 10781], [4008, 5859], [3414, 11536], [6313, 10480], [2762, 7409], [129, 6864], [6743, 10064], [298, 1977], [2548, 2727], [278, 10370], [1305, 7958], [2764, 7455], [831, 8075], [4033, 10992], [7489, 8541], [6416, 7575], [3518, 5069], [8352, 9855], [4395, 6096], [3716, 9191], [1100, 9781], [8502, 10553], [8603, 10605], [7619, 9711], [5019, 5142], [2356, 2533], [2589, 11372], [929, 7455], [2735, 4781], [837, 7866], [1893, 10356], [6657, 10239], [1430, 2718], [8706, 10733], [8792, 9753], [2286, 10058], [7487, 9942], [2573, 2918], [6488, 11369], [4868, 10234], [3836, 6640], [6523, 7391], [983, 1625], [881, 3600], [5462, 7940], [3867, 11588], [4022, 8493], [4612, 9490], [9651, 11298], [7760, 9138], [933, 7173], [946, 11542], [1242, 7928], [1710, 3832], [1969, 5224], [1742, 1835], [6279, 6657], [5203, 6898], [411, 11383], [5139, 9357], [1966, 11342], [2238, 9586], [5314, 7668], [2265, 4993], [6057, 11159], [2261, 8257], [2603, 11404], [19, 952], [4139, 6395], [7893, 9825], [5904, 7884], [8607, 9168], [6585, 10497], [709, 4782], [10077, 10709], [1173, 9612], [9098, 9405], [6044, 7140], [5154, 10015], [3036, 7472], [252, 6034], [4029, 8859], [4733, 6760], [106, 10346], [2338, 5629], [102, 6440], [8500, 8897], [3395, 4557], [1835, 8391], [7089, 11319], [1922, 10265], [5669, 10996], [67, 188], [1529, 10536], [7274, 10318], [5168, 7038], [4416, 11375], [1051, 1112], [8803, 9056], [6086, 8840], [1757, 5475], [1884, 6748], [2856, 4629], [806, 10326], [1070, 2293], [1262, 8879], [1009, 4269], [6765, 8347], [5187, 7438], [3186, 3228], [4524, 8814], [2031, 4142], [6296, 6556], [4049, 5323], [5518, 10426], [7574, 7927], [1965, 6528], [3957, 6488], [836, 2247], [2623, 7437], [4025, 4148], [9426, 11290], [379, 4223], [3265, 7843], [6216, 6977], [3881, 10815], [4610, 10436], [5503, 11242], [969, 10855], [8211, 11372], [5246, 7644], [1952, 11554], [1585, 10040], [665, 6687], [2545, 5652], [7607, 9164], [2256, 5549], [4748, 6586], [2033, 3033], [6210, 9764], [6184, 8543], [10165, 11198], [9907, 10408], [2560, 5933], [2441, 8685], [447, 1482], [8638, 10254], [6269, 8092], [6416, 10771], [6364, 10581], [3336, 8783], [2059, 11020], [3389, 6165], [1967, 11431], [3418, 4651], [1439, 3398], [5102, 6710], [2154, 11257], [5253, 6879], [3119, 7967], [404, 5168], [3913, 8013], [3207, 7033], [7113, 7851], [24, 1914], [1992, 3732], [3475, 7787], [550, 7622], [7773, 10341], [25, 5522], [10658, 11107], [2973, 10020], [4907, 6592], [1574, 11328], [1975, 5256], [6585, 8082], [7116, 7718], [6692, 11362], [469, 2156], [8787, 8791], [788, 10769], [3207, 5878], [8411, 9443], [2403, 8527], [565, 6001], [312, 7807], [2920, 9985], [5315, 6952], [6347, 11300], [10521, 11344], [1928, 8419], [892, 7335], [6991, 8369], [4881, 7599], [2197, 6365], [1832, 4924], [10070, 10132], [4163, 5104], [4627, 9180], [10535, 11400], [4683, 10243], [7360, 10306], [3248, 4724], [45, 8752], [3985, 8400], [5265, 6434], [2493, 9517], [5819, 7774], [6008, 10679], [2408, 4683], [1271, 2793], [11174, 11508], [4358, 4417], [1345, 4405], [1749, 8430], [9304, 9444], [2019, 10011], [7526, 11133], [1733, 3763], [249, 5899], [3736, 11429], [1635, 3605], [8823, 9521], [2257, 9775], [139, 4980], [7986, 9778], [7671, 10706], [81, 10637], [5244, 7785], [9222, 10923], [3406, 5259], [7384, 8397], [5200, 10896], [4427, 10946], [1151, 9800], [3742, 4427], [10395, 10965], [539, 8455], [4892, 9962], [9532, 11499], [2992, 6558], [1650, 4236], [3511, 11095], [5073, 5809], [4482, 8751], [334, 3512], [5313, 8679], [4936, 8729], [5341, 9946], [84, 5966], [5099, 7380], [6580, 8356], [9852, 10514], [10029, 11150], [10805, 11371], [3690, 10629], [1715, 7640], [5514, 8561], [667, 3513], [6916, 7524], [1816, 8446], [7232, 9450], [2280, 6860], [3962, 5840], [4012, 5203], [3611, 4859], [1840, 9971], [5066, 10249], [1045, 8195], [6461, 9953], [828, 3996], [10075, 11094], [5894, 6873], [2291, 3612], [1447, 2698], [53, 3596], [10285, 11089], [3253, 5686], [6947, 9065], [2101, 6871], [3909, 4270], [196, 3123], [2496, 7400], [7067, 11052], [7951, 8332], [3770, 11281], [2896, 8273], [3892, 5794], [9869, 10063], [1811, 4264], [312, 7620], [3636, 11466], [7872, 8978], [8930, 11541], [2798, 3951], [2203, 6774], [5537, 5646], [4537, 9881], [2797, 10896], [8022, 8922], [6724, 10282], [6844, 8886], [2441, 6538], [6458, 8850], [2101, 2683], [3103, 8320], [1202, 1308], [2592, 9336], [5389, 8003], [5585, 5663], [977, 8545], [3933, 8023], [2054, 5496], [132, 4777], [3050, 7935], [125, 3606], [2535, 5769], [5487, 8511], [9621, 11408], [5853, 9800], [2145, 2581], [4049, 6104], [248, 2858], [4128, 4707], [6717, 9087], [468, 912], [1734, 10594], [3671, 6683], [6410, 7624], [3480, 7115], [2179, 11210], [5436, 7418], [4947, 11391], [5317, 10170], [238, 635], [3257, 11015], [9106, 9622], [5240, 6725], [4904, 10940], [2099, 5215], [5550, 11088], [7756, 10068], [1037, 9326], [1539, 10476], [813, 9618], [4746, 7321], [2833, 5210], [11086, 11450], [1258, 7982], [876, 7688], [1992, 10229], [4120, 7044], [907, 10384], [7379, 9714], [6011, 10335], [3416, 7638], [734, 815], [2829, 8070], [4603, 6639], [828, 11030], [3145, 6586], [1134, 1688], [2793, 5380], [2147, 10867], [24, 5728], [5831, 7142], [2567, 3347], [730, 10091], [3412, 4836], [3959, 4251], [5886, 10232], [378, 9639], [5832, 6963], [2652, 8531], [8374, 10773], [2361, 5349], [934, 10271], [4729, 8040], [5224, 8019], [957, 8942], [1127, 7633], [2517, 9245], [8556, 9474], [6632, 7928], [4287, 10324], [1088, 11088], [6251, 8236], [2266, 2429], [3217, 6623], [4712, 5777], [2075, 8496], [5313, 11070], [3816, 11089], [1612, 7274], [7923, 9911], [1699, 9148], [6140, 7092], [7767, 8617], [5021, 10669], [8104, 11420], [9188, 9542], [5337, 8431], [8907, 10054], [2152, 7403], [409, 3983], [1684, 5083], [1505, 2866], [7067, 10865], [2829, 6110], [1034, 7418], [6107, 11466], [4823, 6116], [4876, 9914], [146, 5451], [1403, 5191], [240, 8496], [3663, 5905], [1263, 2178], [8738, 11534], [3946, 6193], [5467, 6568], [7418, 10691], [86, 11412], [8851, 8967], [4527, 5192], [3002, 7327], [2281, 5315], [1596, 5212], [8282, 9978], [7313, 10116], [10776, 11088], [10096, 11329], [633, 2132], [879, 5571], [3206, 8261], [2860, 6870], [4957, 11542], [2741, 9622], [1992, 7814], [4098, 8842], [1116, 1727], [2915, 4298], [3006, 3662], [7061, 8710], [1178, 8240], [1677, 9873], [6873, 9413], [2262, 6362], [1149, 6721], [2701, 6409], [2381, 4741], [292, 7100], [3928, 9720], [6899, 10984], [1042, 9483], [5467, 9146], [422, 3359], [2466, 9925], [3624, 6276], [1602, 7605], [6828, 9239], [7757, 9702], [10017, 10416], [3176, 8745], [3945, 7795], [457, 8456], [4732, 5142], [4727, 8181], [5563, 8453], [8015, 10118], [9822, 10298], [3026, 7646], [4466, 7093], [1293, 9078], [797, 11126], [1320, 6737], [1222, 10366], [1351, 6050], [2722, 9864], [7453, 11519], [2835, 7297], [32, 1645], [2833, 4218], [6666, 10385], [1413, 11065], [6473, 6580], [2865, 2975], [4444, 10902], [4019, 6000], [1059, 9032], [6656, 8916], [4615, 6031], [2990, 4552], [1395, 8200], [5435, 5800], [4008, 10722], [3538, 6077], [7312, 10883], [4442, 10425], [4354, 8326], [1582, 11409], [1295, 1553], [7076, 7408], [3194, 4732], [2783, 3700], [6554, 8989], [1038, 3617], [5864, 8542], [4217, 4830], [2381, 9547], [2417, 5040], [7704, 11114], [1499, 8149], [3531, 5256], [4212, 7869], [4859, 5236], [8464, 8543], [1222, 6528], [5327, 10939], [2839, 7365], [4303, 11370], [4353, 10733], [5445, 8716], [3117, 6555], [4951, 5175], [5198, 5806], [1336, 10198], [183, 7775], [7459, 9374], [6771, 9754], [4661, 4820], [4778, 5405], [1693, 7991], [5407, 6330], [2312, 3310], [3843, 8537], [2124, 4013], [4462, 4610], [1144, 10378], [5215, 9543], [4809, 8101], [3180, 9886], [6051, 6782], [411, 3064], [2995, 7100], [7848, 9684], [3361, 4979], [3298, 10292], [4014, 4046], [906, 6426], [3862, 6658], [868, 10106], [247, 7544], [9529, 11445], [8027, 11120], [3237, 6606], [3608, 8239], [1204, 7022], [6178, 7681], [3037, 6171], [5189, 10550], [3069, 11344], [6216, 7384], [801, 2818], [3184, 8850], [4808, 10858], [5682, 7450], [1069, 9988], [2878, 8743], [7766, 10382], [787, 8023], [6425, 8662], [3930, 9579], [2368, 2787], [5050, 7358], [67, 4701], [7916, 10326], [5168, 11551], [6047, 8487], [2176, 6000], [5424, 9262], [6043, 10997], [866, 10009], [2082, 9748], [2990, 11586], [719, 10713], [844, 11159], [3886, 3995], [6308, 9201], [2509, 8280], [2010, 5149], [1982, 9517], [887, 10482], [5837, 6583], [4195, 8133], [919, 9239], [108, 10717], [4867, 7250], [2749, 8871], [765, 6520], [4927, 7301], [1950, 6946], [100, 9321], [1043, 1546], [3845, 6973], [2785, 7747], [5959, 8616], [2394, 7367], [4541, 10648], [31, 1987], [3611, 10714], [3797, 6932], [1777, 4924], [6945, 8832], [8908, 10306], [1984, 8408], [4322, 9005], [3078, 6464], [428, 8978], [206, 10097], [5806, 7246], [4469, 5268], [714, 8029], [5444, 6076], [3911, 10602], [2909, 8348], [4538, 10700], [7802, 8079], [764, 11529], [2567, 8584], [5559, 7719], [1688, 5232], [1872, 7039], [3466, 6172], [4899, 10864], [5711, 10742], [1038, 6813], [5337, 8057], [2110, 6803], [2309, 10396], [1557, 1901], [6157, 10455], [8829, 10928], [5102, 5157], [688, 9036], [1454, 8569], [10302, 11232], [777, 8327], [1742, 10699], [550, 2686], [10880, 11468], [1293, 6931], [6155, 7349], [2693, 2815], [4470, 11481], [2606, 9986], [4158, 9674], [3377, 3447], [956, 1095], [7645, 9542], [3629, 10084], [6575, 8874], [3309, 8416], [6295, 9988], [3714, 9633], [5923, 8130], [4742, 10075], [2966, 8427], [3828, 9920], [1901, 2441], [11176, 11587], [3366, 11552], [2396, 2420], [4073, 7472], [31, 377], [1154, 10505], [6469, 7293], [4263, 6815], [247, 7357], [4688, 5301], [4421, 8155], [653, 6547], [4844, 5814], [337, 7250], [4726, 11420], [9573, 10806], [6472, 7941], [297, 3687], [2762, 10475], [981, 4319], [327, 9945], [4623, 7508], [6333, 8536], [7700, 8444], [3849, 11497], [2041, 7682], [5240, 9547], [4278, 10856], [1310, 9863], [1845, 6989], [3216, 4387], [1939, 10788], [1060, 2518], [411, 8488], [6725, 11396], [648, 8431], [7535, 10447], [5689, 10312], [2271, 6050], [182, 6157], [10209, 10212], [7456, 11093], [806, 1820], [2230, 8678], [6774, 10507], [1022, 6548], [950, 4982], [895, 5275], [1072, 6665], [213, 4689], [452, 11121], [10911, 11423], [773, 9227], [1081, 7128], [3502, 3818], [3534, 5985], [5254, 9953], [1082, 4320], [1228, 9807], [15, 7333], [4115, 4984], [326, 5505], [2805, 4829], [8817, 11536], [2807, 9039], [694, 11004], [682, 9489], [7882, 10504], [1301, 4808], [2173, 11153], [9423, 11531], [239, 2503], [316, 4413], [2647, 11009], [2492, 6934], [313, 10531], [583, 5696], [10240, 10972], [3200, 5708], [5782, 8917], [2105, 3263], [1167, 9130], [5783, 6109], [666, 4418], [4246, 6729], [6460, 11232], [1066, 5291], [1635, 7663], [1578, 7129], [3441, 11405], [6674, 7219], [793, 3412], [5547, 6017], [1844, 4804], [5332, 7526], [1034, 3474], [9781, 10249], [2212, 6893], [5722, 7711], [257, 9444], [6014, 7331], [3012, 5256], [659, 6980], [2361, 3983], [8090, 10402], [1061, 4516], [2952, 3670], [7623, 10936], [2673, 5009], [7872, 8230], [62, 5943], [6378, 9678], [3291, 6519], [5228, 6772], [7962, 8123], [2102, 2187], [1107, 3356], [3476, 10436], [2670, 11504], [2004, 11451], [3874, 10482], [4846, 7609], [4434, 8604], [907, 3675], [5526, 10751], [1221, 11190], [2191, 8244], [6329, 8631], [7043, 7974], [1439, 6919], [374, 6595], [5611, 6136], [5296, 11228], [6727, 8677], [4851, 9831], [3302, 7408], [6127, 8123], [4480, 10827], [5719, 6608], [4721, 7506], [1923, 2952], [2394, 8953], [1272, 8095], [589, 4655], [431, 1063], [4451, 9308], [2693, 8239], [984, 7813], [5211, 7491], [5206, 7147], [5677, 6732], [567, 2048], [5668, 8898], [5585, 7143], [532, 3747], [906, 11313], [2367, 5221], [158, 1062], [4464, 9893], [4832, 7845], [3065, 4031], [3841, 4252], [3056, 6197], [5785, 6450], [346, 3742], [6137, 11039], [6846, 9284], [6970, 11013], [468, 2392], [1669, 7515], [1278, 7859], [3205, 6670], [5450, 7076], [9641, 10507], [1360, 9389], [8576, 10937], [4288, 6819], [4945, 5628], [5597, 7503], [5724, 9530], [4912, 7400], [1486, 11191], [335, 9595], [5932, 9479], [1517, 4088], [2886, 7075], [5028, 10766], [2967, 6505], [5341, 9011], [8851, 9829], [4594, 8030], [8114, 9536], [9915, 9928], [6924, 7231], [1095, 1362], [2815, 5330], [1588, 11094], [6640, 10855], [7070, 10439], [7570, 8510], [3888, 8174], [9017, 10656], [1919, 6885], [4730, 10146], [3259, 9134], [1206, 11150], [7441, 9793], [5903, 6805], [2782, 3318], [180, 4338], [6594, 10860], [3540, 8595], [708, 4457], [2565, 4781], [4878, 9263], [1447, 11212], [8862, 9937], [3372, 3534], [6706, 8068], [1312, 2127], [2497, 2553], [6619, 9577], [769, 5083], [788, 2881], [7692, 9038], [5115, 9556], [7575, 11082], [7945, 9861], [65, 2671], [1257, 5022], [347, 1603], [818, 1188], [1771, 9215], [1843, 8529], [2840, 9658], [5347, 11030], [1395, 3451], [187, 1321], [2797, 6578], [1047, 6151], [2454, 9622], [4417, 11096], [1117, 5392], [4389, 9048], [363, 2486], [2259, 2738], [1642, 10875], [615, 7625], [7547, 8660], [455, 8841], [359, 2717], [671, 737], [1135, 5567], [252, 11141], [9474, 10827], [1993, 10701], [3820, 8904], [1091, 6399], [2356, 2647], [8829, 9749], [5315, 11441], [5375, 11492], [497, 11295], [339, 7703], [2419, 9762], [931, 1199], [10414, 11048], [3031, 4664], [1482, 2241], [1228, 10238], [2780, 10680], [2631, 10557], [2215, 8427], [3281, 5189], [3393, 5430], [2554, 11276], [3552, 3962], [5233, 11385], [177, 2056], [7905, 11104], [1957, 10239], [364, 8298], [837, 3792], [9527, 10033], [1951, 10424], [1051, 2031], [3077, 7237], [2237, 9475], [6375, 10616], [2206, 7910], [3505, 10158], [5060, 9363], [17, 6655], [1419, 9782], [3912, 8038], [794, 3314], [2294, 6976], [4164, 8259], [1785, 5409], [6958, 7409], [2947, 8295], [705, 8160], [6729, 7357], [6176, 8871], [3872, 5606], [4023, 5021], [2622, 5502], [874, 5902], [5700, 6663], [7720, 7917], [9055, 9822], [2179, 4932], [2096, 9593], [2743, 6960], [5845, 6263], [3212, 5718], [4418, 11185], [210, 3643], [9655, 10726], [3024, 6421], [3207, 8757], [769, 4546], [4511, 9097], [1925, 4234], [9479, 11439], [458, 9757], [2982, 3162], [6748, 8107], [4408, 10847], [7792, 9082], [9507, 10454], [1570, 9146], [2494, 2849], [1377, 2335], [3930, 7058], [3436, 10687], [9907, 11327], [4499, 7178], [2402, 3260], [1624, 2966], [2506, 9999], [3683, 10564], [3547, 5041], [8245, 9966], [836, 8777], [4884, 6238], [1558, 1565], [2203, 8685], [1432, 9562], [594, 6211], [5535, 10894], [1620, 5826], [116, 8838], [840, 8869], [5353, 8379], [4109, 6592], [298, 8320], [2892, 6628], [385, 10948], [10393, 10789], [4815, 10955], [7093, 11501], [82, 559], [1766, 9034], [3065, 10528], [4092, 8116], [1905, 4682], [5065, 8097], [2322, 9666], [1011, 6657], [5770, 9606], [450, 1894], [381, 10425], [6301, 9242], [2369, 6479], [5794, 11131], [8471, 11194], [8631, 9197], [6948, 9992], [355, 2007], [5570, 5761], [8257, 10676], [1461, 3860], [9812, 10635], [4392, 11387], [600, 5221], [5877, 9853], [3494, 3821], [1708, 3737], [4767, 4848], [6971, 8663], [1057, 8880], [5162, 6875], [5193, 6188], [680, 6678], [3608, 4108], [7436, 9931], [3262, 3471], [3040, 4590], [3847, 4124], [1395, 2459], [3053, 9713], [1921, 8167], [3483, 8543], [1833, 6068], [3815, 5340], [3078, 4293], [482, 2906], [3699, 7609], [3876, 8245], [3814, 5115], [202, 10436], [8421, 10676], [2659, 9035], [2540, 11033], [2471, 8984], [451, 560], [1638, 6731], [9322, 9845], [6050, 11070], [3989, 6809], [6265, 6528], [4155, 8010], [165, 1859], [10125, 11108], [779, 9666], [944, 1597], [4247, 4566], [1002, 4985], [1621, 4468], [2426, 5427], [4048, 10772], [3642, 5920], [523, 2506], [2241, 9811], [7189, 9249], [3708, 6917], [8035, 10209], [1330, 6921], [5226, 11158], [7246, 9002], [3794, 10074], [2739, 10438], [1232, 9769], [265, 4318], [2627, 5309], [1916, 10401], [7487, 9064], [3313, 6768], [2850, 4792], [319, 10970], [4302, 7282], [6644, 11004], [10534, 11289], [2781, 6126], [1946, 9462], [3615, 9735], [1471, 3719], [6133, 8987], [3793, 5311], [8531, 10389], [7976, 8824], [3048, 10792], [3322, 3447], [2458, 7543], [4629, 8966], [6253, 10974], [2855, 10397], [1153, 7732], [436, 2456], [7031, 10487], [2642, 6317], [7862, 10415], [1422, 2672], [5090, 7082], [1609, 8914], [4971, 9834], [6989, 11015], [6120, 8351], [1512, 11233], [1072, 5299], [208, 2979], [2044, 2426], [4212, 6584], [3835, 4382], [8361, 11267], [7272, 10549], [1200, 1512], [1219, 1562], [6174, 8587], [8815, 8993], [348, 2235], [538, 1578], [5200, 11010], [5360, 9013], [8942, 11397], [7049, 11416], [6165, 7720], [757, 10741], [1003, 7010], [6127, 11400], [10648, 11525], [2058, 5865], [1497, 7518], [1533, 3011], [1241, 3391], [2928, 11383], [2826, 4690], [5873, 10702], [861, 6553], [121, 2579], [608, 2697], [1211, 10315], [10641, 10704], [3074, 8175], [1422, 8283], [2330, 10875], [7187, 10195], [1829, 6163], [7587, 11068], [3650, 10213], [8345, 9205], [4016, 5840], [2281, 10609], [6572, 7828], [7136, 9856], [8849, 10401], [95, 6619], [3202, 6266], [9086, 9590], [6880, 9112], [6164, 8942], [192, 3519], [5696, 7376], [1271, 1297], [1460, 3448], [4668, 10317], [5382, 8906], [5129, 8460], [3263, 11056], [308, 8016], [5377, 5529], [4033, 6544], [2818, 9659], [268, 8617], [9232, 9765], [7554, 10904], [8330, 11125], [806, 5260], [2793, 4876], [6965, 11263], [6482, 7911], [8849, 9246], [1760, 7473], [228, 8437], [10126, 10392], [603, 1898], [783, 6969], [6230, 9538], [532, 3186], [289, 3428], [9906, 11557], [2425, 8802], [8400, 11490], [5542, 9137], [2429, 8921], [1937, 2797], [6470, 10129], [3385, 7797], [4505, 7828], [6535, 10524], [437, 5928], [709, 4172], [1433, 4203], [3229, 4251], [3657, 9424], [8265, 11423], [4812, 9641], [4631, 6597], [2723, 5584], [4126, 11565], [3875, 7782], [1998, 6082], [9566, 11465], [6673, 9303], [1568, 3465], [6103, 7460], [8680, 10325], [2835, 6175], [1739, 10702], [6386, 6994], [4111, 4467], [1251, 4697], [1492, 7792], [5110, 5669], [11072, 11158], [62, 2617], [2512, 4209], [5042, 11392], [1233, 9783], [5063, 5853], [4794, 7126], [584, 5173], [3598, 8039], [10354, 11292], [3077, 6058], [2726, 11493], [7953, 10346], [7395, 11516], [10257, 10578], [1350, 4302], [2628, 5673], [2717, 10626], [1155, 3834], [2881, 8748], [9027, 9628], [3239, 6012], [2585, 7474], [4796, 6798], [3619, 6233], [7977, 8838], [2590, 5566], [1034, 9142], [7591, 11054], [2520, 10462], [1431, 5580], [1049, 3034], [1741, 9943], [3800, 4709], [3234, 6018], [2389, 10918], [369, 6658], [1363, 7516], [776, 4538], [2078, 9713], [175, 9044], [7088, 10783], [5741, 7363], [550, 1751], [5493, 7261], [918, 6873], [4849, 9411], [4806, 6331], [6710, 10608], [232, 6545], [9689, 11009], [7860, 9727], [6359, 6594], [2178, 3127], [3055, 9816], [1002, 5416], [8834, 9182], [2084, 9127], [239, 3178], [1374, 4241], [8218, 10347], [4300, 11424], [5754, 10577], [5723, 9012], [7249, 10485], [2894, 5145], [10454, 10667], [4079, 9735], [3329, 8483], [805, 5252], [8210, 8951], [8337, 8726], [4137, 7461], [4531, 6634], [5749, 7200], [4505, 5413], [4541, 5070], [2452, 5177], [8458, 10184], [705, 11437], [4247, 10258], [9161, 10866], [9314, 11108], [10809, 11016], [6695, 8771], [17, 3866], [3094, 4802], [8316, 9727], [4776, 10198], [1753, 9498], [7358, 7745], [1556, 5951], [3180, 7959], [3825, 10915], [1220, 6002], [3668, 10931], [1519, 6069], [2644, 6444], [2486, 3606], [5820, 8140], [3515, 3519], [5259, 9793], [9147, 10005], [1919, 6942], [3131, 9945], [3384, 8139], [4760, 5881], [6059, 7375], [3848, 6553], [5150, 5312], [390, 9308], [610, 946], [7301, 9466], [482, 5110], [6237, 6334], [6006, 10373], [6883, 10646], [751, 3056], [2529, 8914], [5607, 9321], [5700, 6102], [443, 2122], [1300, 7435], [1189, 10048], [802, 2994], [6471, 8608], [3950, 9058], [8580, 9153], [1362, 7532], [7239, 7433], [4382, 5682], [3036, 5870], [85, 4484], [2041, 11203], [6420, 8269], [7710, 10401], [5924, 10317], [1299, 3396], [2171, 10495], [917, 7266], [547, 2071], [2109, 2447], [6333, 9024], [3903, 8838], [5914, 6596], [2025, 2749], [323, 3494], [6009, 9085], [4083, 10876], [6853, 6966], [2084, 6712], [749, 2555], [310, 5891], [1547, 6507], [499, 2380], [4146, 11575], [4889, 9404], [5154, 10641], [8199, 9410], [6216, 9913], [3697, 11190], [459, 2200], [8831, 9098], [1818, 8663], [758, 8683], [1878, 8714], [2007, 4398], [1067, 9438], [4308, 5867], [5801, 10610], [7570, 8835], [854, 6112], [749, 1400], [2834, 3803], [2586, 10871], [8496, 9000], [2630, 10389], [3862, 4999], [2523, 3352], [1370, 3181], [7779, 9359], [7321, 8481], [1748, 6739], [370, 1754], [4363, 5924], [9893, 11002], [8411, 9801], [1582, 4757], [4665, 6262], [7749, 8369], [5507, 7480], [7095, 9077], [457, 1349], [1833, 5507], [3163, 6314], [3008, 9409], [117, 10326], [2507, 11113], [2237, 3116], [1141, 8397], [294, 3048], [5715, 11566], [10911, 11106], [8302, 8703], [1721, 3761], [1351, 1976], [3278, 3793], [218, 7375], [5142, 8671], [6396, 11146], [7509, 10006], [30, 1662], [2394, 3480], [2586, 10066], [320, 4619], [4360, 4471], [2770, 5457], [7320, 10484], [3521, 3901], [2953, 4383], [4787, 7167], [3859, 9558], [1674, 9957], [306, 9824], [3231, 3573], [3915, 10621], [5164, 6336], [3290, 10569], [573, 4691], [855, 3623], [6462, 8359], [2565, 11067], [5376, 7912], [2984, 10462], [8232, 10192], [1477, 9793], [6678, 8923], [3435, 3753], [1707, 6283], [4744, 6689], [981, 5425], [795, 6955], [855, 7006], [2885, 3286], [3315, 9286], [4206, 7013], [2530, 4815], [1377, 2392], [1781, 7171], [4902, 4996], [4236, 8353], [5206, 5407], [6051, 6896], [9055, 9074], [5445, 11058], [1007, 10379], [592, 5441], [5538, 10468], [2701, 5986], [4724, 5259], [1391, 5831], [2795, 3369], [5933, 10997], [6898, 6953], [3508, 11155], [4351, 6182], [1302, 10677], [1421, 5673], [3948, 9175], [2852, 3122], [1763, 2404], [142, 667], [4221, 10273], [2915, 7608], [1053, 6940], [6810, 8237], [146, 7956], [1608, 4718], [1472, 11273], [942, 8829], [8595, 10378], [2311, 3148], [8728, 9187], [2708, 6002], [4050, 4914], [7826, 10547], [1821, 9148], [2900, 6172], [3028, 11053], [2651, 8851], [2114, 8646], [4612, 7246], [2246, 4601], [6595, 9372], [2548, 4939], [1959, 4544], [4696, 9576], [6375, 11291], [6521, 10362], [9537, 10645], [4403, 5567], [2474, 2923], [765, 9667], [1078, 3748], [1133, 7619], [696, 7618], [7516, 8412], [2375, 9333], [1630, 2009], [4090, 4289], [1416, 3743], [723, 2244], [4797, 11506], [535, 9363], [6447, 8319], [1868, 8189], [3674, 4761], [2430, 2974], [8679, 11149], [6206, 8607], [9804, 11524], [2617, 9216], [3918, 5121], [5753, 7349], [4519, 6250], [6871, 10717], [5071, 10927], [10324, 11001], [991, 7512], [4167, 5044], [208, 6874], [1853, 2589], [8673, 10553], [9485, 10431], [2021, 4617], [1615, 3929], [2326, 5253], [6628, 10178], [112, 9795], [308, 7455], [1884, 7537], [1597, 1845], [2818, 9098], [168, 10858], [2876, 6070], [1795, 5967], [2416, 8529], [5339, 5615], [764, 5227], [10194, 11278], [1911, 7081], [2274, 4689], [2217, 4155], [4796, 7847], [8261, 9646], [974, 2970], [103, 5895], [7036, 11292], [682, 8985], [6017, 11313], [2834, 6194], [1495, 7553], [241, 5078], [2426, 4679], [1278, 9770], [3477, 6825], [8929, 10492], [2334, 5090], [3793, 8751], [6553, 11323], [2821, 5208], [2147, 8647], [1354, 11485], [4263, 11117], [2257, 6563], [8480, 9353], [639, 8507], [4216, 10547], [3564, 6420], [3971, 10716], [3694, 5712], [8945, 11375], [2324, 11168], [6894, 7802], [390, 8934], [10446, 11475], [3808, 5999], [3369, 8581], [383, 11146], [1622, 6173], [1250, 10731], [4049, 5307], [6449, 7536], [2115, 3073], [411, 2991], [9461, 9575], [8026, 11226], [3052, 4151], [1403, 10192], [3793, 4563], [6903, 10143], [1143, 2913], [1154, 10619], [3764, 9460], [7520, 9553], [312, 6368], [551, 2220], [6314, 7469], [8836, 10627], [4502, 6164], [7108, 7515], [5026, 8793], [3632, 9691], [1946, 7559], [3379, 5835], [1603, 10603], [8666, 8903], [6262, 9938], [393, 1230], [1785, 3669], [9069, 9293], [7634, 10190], [5449, 10589], [8480, 8898], [7477, 10206], [9, 1240], [6636, 8809], [9430, 9457], [6914, 7999], [775, 9818], [95, 3643], [6432, 8255], [2426, 3069], [1674, 1744], [242, 6322], [6131, 9990], [3638, 10236], [3075, 11062], [4874, 7217], [4499, 5088], [1290, 8170], [7857, 8518], [857, 6036], [4801, 8809], [2491, 7227], [4545, 8065], [3041, 4661], [4582, 10576], [7319, 11444], [3119, 10179], [248, 451], [564, 4629], [5479, 8091], [5560, 6767], [2464, 11416], [3977, 5514], [4326, 5668], [6337, 9842], [5473, 8276], [6244, 7399], [4664, 5663], [1295, 10742], [173, 7632], [5406, 9683], [8051, 10962], [4433, 6669], [1604, 8464], [2628, 6535], [2416, 8342], [425, 11236], [5370, 6993], [6046, 10016], [7202, 9704], [7169, 7312], [4855, 4857], [7946, 10387], [3247, 5237], [2187, 5257], [3145, 7212], [5578, 8046], [7653, 9761], [6058, 6993], [268, 6714], [873, 5333], [6256, 10361], [3391, 11001], [3006, 4020], [2667, 4554], [4380, 11515], [6522, 8790], [4440, 10068], [1546, 5052], [6391, 9273], [7024, 9940], [78, 9973], [9130, 10968], [2856, 10842], [9286, 11481], [2034, 3860], [2851, 4082], [2885, 2912], [3874, 10596], [5701, 5793], [1633, 6145], [2844, 6294], [1727, 9944], [3898, 5705], [4328, 10951], [9123, 10147], [940, 5400], [4391, 9021], [4262, 6167], [6008, 9858], [3174, 11309], [404, 2387], [3239, 9452], [5916, 10269], [5167, 5455], [7725, 10522], [2696, 5268], [10605, 10944], [2608, 3169], [1608, 10410], [4442, 8205], [522, 9209], [9240, 11082], [3946, 4591], [6160, 9848], [5188, 9715], [1267, 7865], [6191, 9161], [272, 9034], [5444, 7426], [10659, 11180], [1460, 10889], [2479, 4452], [8456, 10219], [5804, 11152], [4310, 9190], [4186, 10844], [2500, 7958], [6088, 7878], [2100, 4806], [3555, 10977], [3185, 5782], [4329, 10371], [1122, 7110], [4091, 10957], [44, 10688], [2814, 6778], [7287, 9895], [2125, 9185], [2741, 11403], [5504, 7076], [6166, 9639], [8717, 11283], [462, 4970], [1840, 3539], [7407, 11128], [8085, 10060], [4694, 4992], [2639, 3929], [8394, 11569], [1116, 6891], [6733, 8181], [389, 2398], [5554, 6789], [1822, 4838], [4160, 5435], [2591, 3888], [10278, 10683], [2566, 5521], [1098, 11196], [850, 11094], [6020, 9413], [2372, 7907], [11501, 11566], [1690, 5069], [1248, 4724], [9157, 10400], [4802, 11476], [5862, 11456], [1595, 8215], [5015, 6107], [4958, 9737], [3583, 11439], [899, 7953], [4132, 6019], [5570, 11055], [904, 1881], [2146, 9257], [4603, 4850], [926, 5612], [2, 3241], [3890, 9115], [3950, 9920], [7281, 8521], [1992, 2374], [5820, 8197], [5531, 8094], [3293, 8078], [2985, 3761], [8704, 9492], [4041, 6251], [5493, 8741], [3657, 9294], [174, 10299], [7371, 7633], [4783, 10271], [5528, 11179], [2752, 10356], [49, 9072], [2571, 11476], [8447, 10775], [6246, 10641], [6084, 6149], [917, 5095], [1507, 1928], [2749, 7806], [3590, 8422], [4297, 5840], [7380, 11509], [3524, 3638], [6393, 10287], [6202, 6555], [6940, 10456], [2838, 3310], [2153, 9623], [3085, 3187], [435, 5701], [775, 8021], [775, 1605], [1143, 6727], [370, 10187], [124, 6748], [2473, 7534], [6619, 8536], [6092, 9019], [7587, 8173], [1728, 6599], [10198, 10622], [7046, 11232], [3254, 5066], [7698, 8943], [5673, 6591], [664, 2713], [4335, 10804], [1355, 4516], [1002, 9124], [1439, 9879], [3813, 5969], [4896, 10282], [8722, 8862], [5632, 6940], [1526, 8720], [2985, 8217], [1402, 6964], [4803, 7058], [6095, 11545], [3959, 5390], [2734, 7817], [9980, 11459], [613, 9140], [1399, 3633], [1946, 10218], [1803, 7658], [1020, 11184], [2011, 8361], [2568, 9218], [2723, 6877], [2760, 9388], [10509, 11399], [4926, 11221], [938, 979], [3969, 6458], [407, 11142], [4641, 11237], [69, 8114], [8348, 9159], [4402, 8188], [3117, 4148], [2222, 2515], [1494, 5748], [2640, 4748], [3240, 8685], [8534, 8760], [377, 9398], [5351, 10057], [1239, 4475], [6072, 6407], [2276, 2751], [3413, 10333], [9237, 9442], [519, 5317], [9116, 11367], [10668, 11055], [1797, 6688], [3815, 7869], [5372, 7901], [6098, 8759], [3516, 10431], [648, 11554], [271, 10850], [1634, 8387], [7805, 10987], [3164, 9979], [454, 7524], [2537, 6848], [3629, 11247], [5012, 9436], [4154, 11068], [3175, 9764], [5389, 8605], [1407, 8731], [1426, 6529], [440, 3280], [5608, 7188], [1243, 7576], [6693, 8164], [862, 7884], [2739, 3168], [4886, 7203], [3518, 7070], [6064, 10622], [4913, 9026], [9553, 10563], [2115, 4472], [5943, 6131], [5382, 7784], [2083, 11350], [894, 9270], [2699, 7152], [271, 10045], [5028, 6505], [1827, 10606], [6987, 10489], [2376, 7438], [6059, 10628], [5839, 6158], [3433, 6366], [1346, 7300], [2127, 7865], [1435, 6591], [1660, 2737], [6582, 9622], [10990, 11590], [904, 10338], [3046, 6859], [2550, 9661], [7966, 10665], [3613, 6152], [8752, 11574], [526, 10163], [4084, 7989], [3150, 4930], [2805, 7147], [5005, 7810], [2352, 5889], [7248, 11553], [6555, 7425], [2910, 3938], [239, 4821], [612, 9533], [3198, 3816], [9385, 11113], [6238, 8657], [2356, 10145], [7120, 9274], [8161, 10732], [5091, 9432], [4649, 6835], [768, 7013], [4824, 5146], [510, 2059], [3056, 3359], [292, 4051], [440, 4703], [10209, 10220], [121, 1725], [3985, 7205], [7596, 11081], [5480, 7113], [1959, 7634], [119, 2029], [1676, 2815], [678, 3713], [3751, 4530], [1770, 8112], [2740, 11582], [329, 9194], [769, 9466], [5213, 11091], [3680, 9201], [9880, 10287], [8166, 10271], [1194, 4919], [2123, 5382], [2338, 3092], [7439, 9942], [598, 1101], [5389, 9223], [3594, 9777], [6448, 11230], [6694, 8253], [9052, 10256], [4475, 6035], [4008, 7323], [1642, 8842], [5685, 5959], [807, 5762], [521, 5176], [2446, 10330], [2568, 4843], [5374, 7760], [3256, 9381], [7760, 11057], [6209, 7807], [2221, 4735], [2133, 2636], [2465, 11511], [7074, 7319], [6117, 8972], [381, 5546], [71, 402], [1868, 10474], [1322, 6743], [5515, 6837], [7036, 7966], [563, 10663], [7350, 9065], [8907, 9851], [2625, 9110], [2307, 4105], [1403, 4638], [5902, 6724], [5812, 10214], [3580, 7761], [2422, 8000], [2864, 8345], [3695, 8273], [10298, 11284], [2760, 7241], [6060, 7283], [6996, 8917], [4633, 9953], [493, 8739], [7771, 11165], [462, 7174], [7425, 10528], [3574, 7165], [9109, 10335], [298, 6019], [1877, 9782], [1041, 3094], [264, 9818], [1728, 10413], [2124, 3997], [262, 3329], [1201, 10896], [9527, 11033], [3842, 4886], [3124, 8807], [1087, 9104], [6661, 7284], [785, 7985], [6510, 11252], [5161, 11169], [2585, 11158], [4414, 10188], [1064, 4367], [6502, 9856], [4909, 7915], [4282, 11200], [4323, 11201], [1861, 2432], [6090, 8599], [4758, 11129], [1991, 8140], [1478, 1913], [424, 10049], [1270, 11009], [200, 10341], [1143, 3320], [8637, 10474], [8575, 8842], [3403, 10450], [7293, 10735], [3002, 9352], [4956, 6576], [4173, 10102], [7970, 10196], [1996, 10362], [64, 8201], [2304, 8263], [4604, 6124], [5395, 7377], [278, 5686], [8070, 10777], [8686, 8831], [200, 10691], [4827, 7859], [2903, 6313], [813, 2812], [3046, 5867], [5291, 6273], [4334, 7926], [717, 6487], [1025, 4388], [1625, 8325], [1300, 6313], [6002, 8728], [1437, 9028], [1394, 5948], [3071, 11000], [6247, 7778], [4509, 9620], [483, 9474], [3907, 4856], [522, 8648], [1580, 5549], [1758, 9793], [6713, 10402], [1176, 10569], [4898, 5416], [1876, 5318], [2075, 8911], [5308, 6977], [7106, 10104], [881, 6487], [2006, 11026], [4717, 9919], [2088, 2730], [6291, 7676], [697, 7309], [700, 10990], [46, 6036], [7329, 8806], [2907, 8660], [1376, 7597], [4737, 8292], [5533, 11417], [6004, 11002], [1424, 3100], [3072, 9666], [9426, 9721], [1310, 6196], [54, 2894], [7371, 10910], [6282, 10192], [1865, 3974], [7033, 7882], [2576, 9435], [4790, 7522], [511, 7684], [5116, 6002], [2186, 5493], [909, 7730], [472, 559], [6349, 7630], [437, 1504], [5268, 6773], [1350, 2188], [3364, 5879], [1898, 5211], [4633, 9416], [6795, 8067], [2231, 4862], [2112, 3450], [2922, 8917], [4231, 8847], [813, 11001], [5529, 6706], [830, 1556], [8522, 9449], [4411, 4469], [1973, 6674], [985, 9014], [3633, 4175], [4844, 9986], [4410, 7250], [2075, 10334], [7519, 7724], [2132, 4452], [9356, 10025], [7112, 9063], [2496, 5668], [856, 3127], [2900, 9693], [5735, 11096], [1478, 9297], [8746, 11035], [1507, 7783], [447, 8557], [2212, 9292], [8466, 11395], [5599, 11208], [1153, 6504], [9305, 9686], [6996, 7575], [6259, 7282], [1398, 9718], [3301, 4725], [1143, 9199], [5064, 11049], [4386, 5701], [1528, 2594], [298, 4677], [272, 5708], [8993, 11262], [2171, 9641], [6901, 7688], [3814, 8693], [8022, 10573], [1613, 2143], [2731, 7763], [6404, 10265], [4845, 7154], [146, 4256], [4031, 10613], [710, 6284], [459, 2501], [268, 2933], [3561, 7466], [2257, 5628], [2563, 9118], [2498, 8723], [5374, 5963], [5797, 7786], [5210, 11224], [5267, 5342], [5679, 9982], [194, 10339], [3621, 5238], [7509, 11112], [6286, 7950], [1282, 4416], [1562, 6685], [2969, 3740], [254, 941], [3994, 11081], [8562, 11052], [5692, 6430], [2149, 7384], [1233, 11320], [3732, 6358], [10235, 11417], [5963, 8586], [1362, 6223], [1386, 4365], [1195, 4797], [4503, 8864], [2261, 2313], [3811, 7590], [5986, 6503], [982, 10139], [6708, 9871], [5643, 9547], [75, 11155], [1290, 1624], [6589, 8459], [5992, 10455], [7702, 11483], [665, 5736], [200, 9349], [2874, 9895], [8013, 8901], [3405, 10285], [8221, 9604], [913, 8467], [9040, 9872], [8061, 8568], [3028, 6548], [9714, 11314], [2085, 5655], [3914, 3931], [2489, 6270], [5357, 10065], [3230, 7436], [2121, 10947], [3669, 7483], [5747, 6463], [3983, 9336], [456, 10069], [5251, 9265], [4535, 9849], [6964, 9810], [9364, 11285], [44, 5402], [569, 1086], [1850, 8390], [2884, 7149], [8104, 10493], [4370, 8469], [3912, 7591], [6393, 9994], [1071, 5619], [6884, 10231], [5573, 7222], [4339, 6123], [1120, 5511], [7175, 10380], [2607, 4023], [2424, 10732], [1304, 11455], [1808, 2098], [4912, 8644], [1904, 2560], [7967, 8101], [5823, 7747], [4331, 8864], [8966, 9303], [4257, 9881], [893, 2472], [953, 6687], [7747, 9266], [2202, 3156], [7492, 7993], [1950, 7816], [6564, 8132], [5633, 11006], [6275, 8029], [867, 11050], [5590, 7926], [9891, 9997], [5218, 6068], [6589, 9882], [667, 10238], [894, 2293], [3261, 8546], [6150, 6802], [2654, 2684], [76, 348], [3291, 9886], [3129, 9558], [1634, 3988], [2790, 5928], [629, 4469], [4302, 6217], [6203, 6813], [2438, 11138], [4140, 8141], [6980, 9888], [10149, 10413], [2471, 10497], [1814, 6026], [742, 4531], [9716, 10531], [2400, 5369], [7837, 8004], [1643, 3700], [5357, 8455], [1405, 4286], [4880, 8301], [7120, 8363], [6996, 10771], [3546, 10004], [6132, 8451], [2357, 5672], [3694, 4240], [3100, 9917], [2508, 5841], [6933, 9668], [4937, 5802], [890, 7785], [2294, 4569], [711, 9732], [5377, 6074], [2008, 11153], [2010, 5564], [4778, 7243], [5022, 7603], [550, 1678], [7234, 9781], [1819, 5215], [4124, 9836], [5870, 6357], [1694, 9650], [1625, 7601], [1713, 7448], [8939, 9684], [2817, 6946], [3151, 6068], [4429, 7439], [5831, 10566], [5101, 6556], [3081, 4548], [7962, 9180], [312, 11312], [7504, 7548], [6287, 7584], [6471, 10145], [9177, 9448], [7160, 11121], [390, 3274], [2014, 4528], [2490, 10873], [7115, 7214], [3417, 11263], [3761, 4657], [6749, 8554], [4636, 10519], [1424, 6914], [4712, 8851], [2442, 6668], [3688, 8501], [1694, 5462], [5465, 10751], [756, 7165], [3624, 4544], [2217, 10872], [8158, 8314], [3459, 9580], [3794, 5894], [962, 11555], [5881, 6091], [4630, 9549], [524, 11329], [8898, 9228], [4657, 4956], [4130, 8445], [1076, 5426], [2084, 5216], [5590, 8544], [603, 6899], [7266, 9961], [3773, 3862], [4565, 7969], [3804, 8810], [3191, 10273], [9626, 11256], [3527, 3806], [5204, 11110], [6515, 8457], [130, 6837], [1897, 8399], [3120, 5145], [8285, 9536], [7378, 10552], [991, 5853], [6942, 11153], [187, 4338], [1651, 8343], [4440, 9401], [3703, 8354], [747, 8876], [9519, 10985], [3380, 6388], [4099, 6075], [2755, 6336], [370, 3641], [2326, 10360], [7584, 10778], [821, 4102], [5440, 11178], [8857, 11051], [1383, 3051], [675, 1244], [3906, 9063], [695, 8312], [2751, 5813], [3496, 10885], [5674, 10069], [1324, 11489], [2780, 5053], [5366, 5752], [1530, 9113], [752, 1649], [9246, 10984], [3685, 10757], [223, 6223], [4300, 8586], [8997, 11411], [459, 1777], [6313, 6390], [3290, 5690], [6180, 6800], [6494, 8653], [4369, 6851], [3878, 9243], [229, 5637], [2357, 2452], [514, 8250], [6773, 11451], [1663, 10931], [7351, 10933], [640, 7800], [4810, 6944], [4488, 10865], [3672, 4829], [2596, 11486], [6538, 7797], [4984, 11446], [7596, 10333], [3988, 6728], [3045, 5835], [2893, 7693], [1181, 10756], [1952, 9879], [4441, 10645], [1770, 7364], [1828, 11506], [7769, 8948], [2798, 7806], [8266, 9754], [2356, 5209], [2442, 6481], [2414, 4433], [953, 8273], [4062, 4583], [10075, 10761], [455, 10248], [10278, 10366], [260, 7528], [1910, 3587], [1029, 5824], [6507, 8460], [61, 9570], [405, 2964], [2361, 7431], [5260, 6375], [6970, 9655], [2030, 7826], [776, 5351], [2309, 7241], [27, 537], [4548, 7078], [2425, 8355], [5097, 8074], [7029, 7983], [3518, 6940], [3502, 8689], [1024, 9213], [6068, 11365], [1579, 9997], [5068, 9938], [6026, 11139], [4588, 6103], [1239, 10306], [2010, 10183], [1294, 10013], [1265, 5111], [6987, 10359], [1820, 9305], [7520, 10822], [5679, 11031], [2348, 9424], [1350, 4660], [3278, 9331], [2218, 9351], [8634, 10284], [6604, 7588], [5761, 6145], [6488, 9857], [11087, 11393], [476, 7287], [1004, 7406], [7879, 7907], [2148, 5579], [1907, 2484], [1561, 1847], [3391, 10147], [9029, 10032], [5719, 10056], [6873, 8917], [3490, 7120], [4858, 5001], [240, 779], [1204, 10096], [2642, 8716], [2549, 6273], [703, 6138], [3349, 6888], [2055, 5738], [6337, 8533], [1486, 5995], [1114, 10553], [6324, 7547], [6766, 8646], [6122, 10796], [4429, 10903], [17, 11445], [8170, 11065], [5013, 7167], [8634, 9479], [1748, 10317], [7202, 8395], [7141, 10371], [2298, 7751], [3087, 5925], [2077, 6062], [784, 7766], [5600, 7085], [6407, 6619], [6255, 9231], [7559, 11069], [5343, 9903], [6833, 8713], [5506, 11587], [17, 3874], [2702, 8716], [5408, 7265], [6991, 9272], [1227, 3798], [265, 5107], [2388, 3830], [800, 2233], [3260, 3759], [517, 5328], [1943, 6597], [3775, 11560], [8544, 8781], [794, 7299], [10462, 10512], [3867, 8116], [5522, 8683], [8720, 10700], [2488, 2906], [1469, 10097], [1125, 10287], [2742, 4708], [6919, 10685], [5166, 6577], [9992, 11502], [4538, 7008], [1590, 11555], [1798, 5842], [4661, 5129], [3332, 11340], [7501, 11040], [5099, 8738], [2050, 6063], [4161, 8189], [207, 9609], [5884, 9422], [520, 5575], [5771, 10484], [8758, 10029], [8388, 10496], [6235, 8898], [4179, 4981], [7950, 10270], [6671, 9428], [5081, 7004], [3682, 8312], [4776, 6368], [5920, 10957], [6445, 7395], [1899, 5493], [2406, 6987], [8092, 9572], [1157, 7485], [1188, 7552], [10830, 11042], [4759, 4859], [4136, 5634], [3045, 4843], [892, 9661], [3078, 5700], [6469, 11522], [7985, 11553], [8329, 9111], [4567, 11455], [1200, 10945], [855, 6746], [8076, 8638], [1355, 4817], [358, 9323], [6788, 9962], [5076, 5855], [851, 6223], [5732, 10855], [10742, 11171], [4512, 7210], [4102, 9032], [6875, 9557], [247, 10431], [10744, 11217], [1403, 10119], [968, 4529], [1061, 6972], [956, 3014], [1308, 11013], [927, 7157], [5975, 10963], [76, 2820], [1447, 6634], [1163, 6875], [3100, 7128], [3630, 3910], [2907, 8985], [5457, 7775], [70, 5257], [3655, 11322], [389, 6700], [2970, 4803], [4520, 10080], [7830, 10810], [6075, 10039], [598, 1589], [563, 5540], [2586, 11229], [4055, 4998], [1154, 9391], [2114, 5003], [4025, 6287], [345, 1116], [4078, 10085], [2182, 3417], [2982, 4032], [4286, 10788], [7310, 7926], [5030, 11471], [4138, 7103], [769, 5766], [1726, 1861], [113, 4149], [5596, 7129], [1451, 9735], [5718, 5806], [363, 7707], [361, 11044], [4932, 10532], [10283, 11141], [7024, 8444], [1759, 11019], [1004, 5259], [7736, 10370], [11158, 11341], [692, 9868], [8850, 9832], [1785, 2791], [216, 490], [5542, 5738], [4138, 5948], [1894, 9150], [815, 9120], [283, 11511], [1159, 2514], [896, 3632], [3545, 8817], [8464, 9015], [2177, 2268], [6414, 9050], [611, 4402], [8587, 11300], [2931, 10055], [7117, 7480], [4126, 11199], [210, 7441], [3006, 4752], [2923, 9413], [8492, 11413], [8430, 10535], [1784, 4444], [9201, 10412], [8115, 9211], [735, 8760], [6521, 9297], [3025, 5933], [6610, 8588], [10968, 11193], [6926, 10514], [1221, 2237], [5835, 9723], [477, 4937], [3868, 10759], [5826, 7725], [5082, 10425], [1837, 10844], [4741, 7880], [4338, 5955], [6764, 9405], [3056, 7848], [418, 6959], [1621, 6493], [6514, 8476], [4551, 7002], [399, 8437], [1959, 8740], [6005, 9538], [1184, 3459], [117, 8724], [3254, 4830], [2114, 6776], [9858, 10695], [4533, 9055], [2167, 6410], [4510, 7351], [76, 9854], [5810, 10201], [9201, 9607], [5345, 8152], [5185, 10149], [5152, 7757], [1511, 8176], [444, 11189], [2970, 5421], [3532, 6622], [5823, 6649], [8197, 9909], [811, 3254], [1600, 10096], [2741, 8752], [2744, 8269], [7635, 11337], [125, 5932], [316, 2494], [8255, 10264], [5165, 8342], [9430, 10002], [521, 9315], [6848, 10176], [7429, 9929], [6216, 6701], [490, 4717], [2510, 2561], [335, 642], [2301, 8049], [8402, 9910], [8832, 9494], [7865, 10459], [3355, 7460], [6488, 8328], [1049, 9784], [10226, 11225], [4340, 4822], [3932, 9723], [4661, 10098], [2720, 3687], [1882, 3342], [6266, 6414], [7977, 11050], [1494, 8895], [8042, 11445], [9090, 9910], [7780, 9755], [538, 570], [4354, 11294], [8303, 9530], [4941, 8610], [3929, 6392], [7597, 7796], [8631, 8807], [551, 805], [10268, 10296], [3236, 4893], [963, 9609], [5603, 11146], [1618, 11001], [7867, 8596], [7994, 8371], [1433, 4805], [2830, 7588], [2486, 7778], [5715, 8354], [3044, 5073], [1007, 1206], [6151, 11136], [3195, 5242], [548, 10683], [5018, 10119], [3455, 9518], [72, 7721], [1438, 11191], [3217, 10104], [2059, 9589], [624, 8234], [3239, 7419], [4868, 9771], [1585, 7454], [1373, 3599], [2149, 3066], [753, 8055], [429, 4733], [401, 9101], [1619, 10421], [5961, 7605], [670, 11211], [2941, 4170], [1636, 10775], [1605, 9210], [3157, 4734], [6092, 9751], [5278, 6794], [1534, 10498], [4001, 9031], [267, 591], [4064, 11265], [2445, 3185], [7952, 10723], [784, 2049], [3244, 4329], [3467, 10228], [5800, 6317], [1412, 11417], [5259, 8622], [3738, 4083], [1902, 2384], [2862, 4412], [4102, 9463], [2744, 5854], [5598, 11471], [870, 1419], [3299, 4386], [3111, 10751], [1019, 7177], [3145, 10335], [122, 6629], [2023, 7225], [2135, 7466], [3694, 4915], [708, 6726], [854, 6551], [1733, 3487], [6999, 7930], [3288, 6856], [1134, 2404], [139, 7737], [8258, 10779], [518, 3569], [9098, 11170], [2814, 10356], [316, 5340], [2438, 11008], [7686, 10738], [440, 11233], [5636, 10019], [2300, 4658], [7198, 11149], [3110, 10125], [4822, 7816], [930, 4452], [2719, 4053], [2428, 7287], [5351, 10789], [6996, 7258], [2582, 11137], [3351, 3771], [1124, 4668], [683, 10587], [4167, 6020], [890, 1239], [50, 3477], [3563, 7976], [5304, 6405], [2002, 4038], [2915, 6974], [7416, 11385], [6731, 11282], [4186, 10584], [5733, 5764], [5418, 10856], [4895, 9583], [661, 2318], [4081, 6626], [760, 2297], [4932, 7930], [5978, 9732], [133, 5582], [9780, 10170], [537, 10361], [2332, 3391], [7471, 8059], [850, 8606], [8253, 9226], [6097, 10363], [3731, 5466], [1484, 4987], [1021, 3011], [3024, 7267], [1949, 6255], [1553, 6255], [5159, 6781], [212, 10197], [1205, 8955], [7120, 7428], [6117, 8736], [1676, 8540], [5194, 9219], [7699, 10518], [6558, 9610], [9600, 10360], [8295, 8297], [6395, 11309], [359, 4181], [2687, 3336], [1633, 7308], [8725, 11264], [6352, 7448], [5149, 5662], [4027, 8968], [1537, 10983], [4576, 5800], [1155, 8437], [1005, 11122], [2110, 3705], [6170, 9097], [6046, 7341], [4487, 9892], [2333, 5440], [1682, 10583], [5233, 7238], [4510, 10815], [957, 4665], [468, 4474], [4160, 10436], [6006, 11325], [4104, 7094], [4696, 4754], [5623, 10806], [5220, 9635], [296, 1923], [1133, 9213], [3345, 7227], [319, 594], [2877, 5661], [2906, 10563], [3723, 10785], [6703, 10657], [1794, 8141], [5263, 8958], [5710, 10401], [4560, 7495], [916, 1981], [4079, 4189], [5667, 6540], [1930, 4245], [5111, 8537], [3676, 7182], [37, 4264], [1083, 5312], [2120, 10004], [3393, 3861], [9313, 9848], [5201, 8430], [5237, 10339], [2310, 9347], [6259, 7583], [6531, 11489], [779, 1868], [435, 2058], [2540, 11529], [1683, 6970], [7345, 11413], [6280, 11089], [6158, 10160], [9673, 11322], [2928, 5195], [7028, 9262], [8179, 8606], [578, 831], [1331, 5764], [3230, 3281], [330, 6364], [9875, 10675], [2468, 6149], [942, 5430], [133, 2817], [131, 6154], [4274, 6885], [2379, 10241], [1377, 1571], [250, 7539], [4613, 10488], [912, 3686], [3745, 4262], [2642, 7618], [4049, 4673], [19, 1375], [7654, 8734], [434, 3280], [4632, 8636], [2139, 3964], [1865, 11309], [4246, 4436], [2850, 8671], [8636, 11460], [11313, 11523], [3539, 9647], [3912, 8697], [2812, 9318], [3495, 9348], [4892, 11377], [5778, 9484], [1695, 3142], [5857, 8087], [6144, 11527], [3840, 9760], [4960, 9791], [602, 770], [5509, 10787], [2938, 11120], [5323, 7399], [4648, 7984], [6389, 10577], [811, 2075], [1409, 10103], [220, 8023], [2907, 8774], [2825, 6520], [4674, 10336], [5078, 10951], [7031, 10983], [2148, 4026], [4768, 9971], [5599, 9899], [1311, 5781], [4816, 6255], [2396, 7511], [1830, 2404], [4877, 6881], [1505, 5273], [1797, 9811], [2507, 10910], [3692, 5674], [6609, 8607], [781, 2182], [3334, 4653], [7278, 7426], [1403, 10981], [5259, 6020], [2485, 8276], [6623, 8663], [8739, 11133], [4384, 5793], [950, 3307], [5750, 9263], [522, 10185], [553, 9498], [608, 3543], [1865, 9699], [4692, 7077], [6995, 10871], [4153, 6045], [3010, 11480], [9316, 9609], [5773, 10563], [389, 7562], [1406, 4462], [764, 1023], [2467, 7296], [944, 6094], [2007, 2585], [658, 9672], [3562, 8960], [1310, 7383], [2808, 4556], [2493, 5484], [3368, 9094], [6759, 8500], [1121, 1445], [2459, 2867], [1084, 8733], [3988, 8021], [597, 2199], [968, 4586], [397, 1387], [1864, 2657], [9241, 11478], [6808, 11021], [6562, 7582], [2601, 8585], [7057, 7561], [9295, 10960], [8605, 10513], [795, 2564], [2138, 10746], [4432, 4655], [920, 7174], [1174, 4812], [3739, 10326], [6951, 7515], [5774, 6950], [9303, 11201], [1845, 7087], [1274, 3888], [1769, 8031], [1273, 10079], [1433, 8082], [5440, 9706], [3984, 9726], [684, 4022], [9548, 11382], [243, 10695], [1452, 9263], [2109, 7318], [985, 10551], [5242, 5934], [6186, 8183], [821, 2980], [5595, 6961], [72, 10998], [9034, 9067], [6680, 7937], [2067, 4813], [6922, 7470], [5857, 7900], [910, 11316], [3747, 7130], [102, 3643], [4831, 10887], [3140, 7657], [2811, 8879], [1770, 6697], [1240, 3499], [7216, 10549], [4413, 4897], [9208, 10509], [4222, 8335], [4540, 6924], [2265, 7807], [4663, 9209], [8856, 9303], [5659, 6730], [10972, 11019], [2073, 11020], [208, 6671], [698, 6306], [4777, 9496], [2160, 7232], [8825, 11121], [2533, 5528], [3011, 8536], [3247, 4871], [2072, 5133], [2228, 5646], [7632, 11551], [5865, 7737], [9882, 10049], [9809, 10510], [4587, 10503], [6294, 7096], [1215, 4731], [442, 2529], [4151, 6940], [2368, 10537], [1719, 10091], [2916, 11308], [1610, 8643], [1374, 5892], [997, 10106], [4073, 8188], [6492, 9713], [236, 10947], [2359, 9670], [5568, 7342], [4501, 6191], [6216, 7563], [1264, 4973], [2886, 5400], [5682, 7629], [3908, 9060], [7772, 10376], [9947, 10043], [6495, 10361], [3821, 9815], [2809, 6873], [412, 2663], [8784, 10315], [2774, 7818], [5249, 11130], [1497, 3639], [4218, 10390], [1974, 6422], [2657, 10616], [5826, 6977], [9124, 9602], [3090, 3301], [2641, 5195], [3337, 9594], [8688, 10203], [615, 9788], [6657, 10288], [4816, 7491], [7620, 9581], [6997, 10356], [2213, 9040], [8299, 9869], [2697, 5477], [2331, 10981], [5975, 10833], [6405, 9663], [6276, 7563], [8266, 10860], [1733, 2926], [5652, 8113], [3560, 4539], [5179, 6203], [1376, 7792], [2682, 4041], [981, 10646], [8164, 9802], [65, 7412], [158, 4193], [5555, 11563], [3776, 6234], [311, 4435], [6824, 10936], [8347, 9105], [2358, 8239], [9742, 11061], [6380, 10895], [5005, 9591], [5497, 7020], [4993, 5043], [1949, 3466], [2594, 10586], [10128, 10723], [7342, 9936], [1110, 9312], [9136, 9157], [4838, 11521], [3475, 7568], [6959, 7165], [4299, 10489], [7203, 9777], [6055, 7698], [4123, 6291], [8231, 10219], [9000, 9269], [3771, 7337], [3334, 5084], [404, 411], [1687, 7788], [973, 2783], [5329, 10977], [7373, 11127], [4824, 7277], [6446, 7704], [9333, 11549], [940, 3774], [3416, 5833], [2548, 6777], [10330, 10426], [7902, 11067], [4750, 7513], [4264, 11003], [5162, 5737], [4255, 6753], [3252, 8061], [5253, 5855], [7422, 11369], [4430, 5064], [2255, 6151], [5842, 8879], [4562, 5183], [1487, 4293], [5367, 10306], [14, 6618], [4491, 6471], [2963, 4925], [1694, 4771], [4679, 9151], [8533, 10533], [4030, 4541], [8149, 9789], [654, 9580], [5695, 11461], [4663, 7867], [2550, 3416], [7837, 8736], [7654, 9783], [5264, 5990], [3149, 7128], [2325, 4237], [2046, 4822], [5934, 10696], [2429, 7970], [4886, 6569], [6739, 9403], [3229, 6333], [4934, 9269], [1885, 7348], [4997, 7339], [4532, 8700], [3107, 4623], [1949, 8272], [674, 4920], [8299, 10837], [4118, 9622], [4498, 9089], [1201, 7066], [1653, 3965], [4517, 10270], [164, 5757], [100, 4052], [5671, 9131], [3269, 4577], [8370, 11427], [7310, 11447], [7027, 8880], [4480, 7355], [3291, 5275], [1806, 4557], [395, 10766], [1267, 10695], [358, 4468], [1454, 4105], [172, 5998], [5345, 10250], [7986, 8404], [4689, 8633], [6960, 7254], [1826, 2930], [81, 9263], [3187, 6056], [3169, 11112], [454, 1897], [4060, 8839], [7699, 8347], [2711, 3094], [3312, 3469], [537, 619], [5793, 10790], [3305, 6462], [6393, 8311], [259, 10474], [192, 9252], [3112, 6821], [8103, 9339], [218, 1805], [3045, 5599], [6327, 9943], [381, 3489], [4150, 7951], [447, 7492], [4852, 5025], [2553, 8520], [598, 11071], [8318, 10432], [7941, 8230], [713, 5167], [2917, 9736], [708, 4823], [3569, 7447], [611, 11306], [8990, 9549], [905, 5337], [2883, 7119], [5035, 11498], [2795, 5020], [5785, 9744], [88, 8498], [4653, 8198], [4606, 9106], [6502, 8604], [7897, 10560], [731, 9129], [3229, 11139], [4970, 9568], [6673, 9425], [2070, 4737], [7173, 7496], [132, 11429], [4564, 5847], [2193, 9274], [5056, 6309], [393, 3068], [3371, 10441], [5767, 11016], [4886, 6837], [801, 6461], [407, 872], [998, 6975], [7839, 9400], [7720, 11398], [6313, 7927], [6559, 11366], [8338, 10279], [1335, 4116], [4871, 6155], [2272, 10856], [2391, 5852], [3887, 8614], [10048, 10526], [7579, 11166], [2044, 5744], [5555, 9416], [333, 5245], [4899, 10051], [5085, 7023], [3777, 7695], [3309, 5375], [5086, 9877], [1230, 6170], [1536, 3244], [3070, 8742], [1569, 2603], [4955, 8081], [2188, 5092], [7126, 10258], [4758, 10950], [95, 1293], [3825, 6581], [8646, 10408], [6794, 10428], [2121, 6499], [4481, 11581], [703, 9285], [431, 11041], [1296, 9799], [5100, 11064], [6154, 6311], [3721, 8860], [5634, 10971], [8884, 10172], [802, 6231], [1762, 8259], [4434, 7978], [506, 9121], [2037, 10184], [8365, 11270], [2283, 7207], [2262, 6330], [9130, 10578], [2711, 3712], [3625, 8748], [8169, 8325], [2804, 9538], [5703, 8482], [541, 1356], [5047, 6865], [8785, 9762], [2773, 7192], [1431, 1864], [2645, 5694], [5191, 9246], [6414, 10156], [5101, 10484], [9830, 10558], [4536, 8231], [1824, 11365], [2020, 9025], [6086, 7092], [3479, 8522], [3856, 8472], [1118, 10385], [1631, 5308], [3907, 11443], [3563, 4463], [211, 4985], [4437, 7471], [3503, 10047], [53, 7028], [1476, 4616], [4003, 8118], [4056, 11162], [5948, 7508], [266, 11458], [605, 4508], [10715, 11072], [528, 2598], [8005, 8617], [5694, 9843], [8715, 9716], [932, 10006], [10271, 10277], [7993, 10485], [4691, 8118], [6812, 10178], [4640, 10782], [681, 5442], [1431, 4442], [4717, 5552], [2286, 2512], [1587, 4955], [5592, 5752], [3902, 9540], [1023, 6310], [4476, 6594], [2760, 11413], [4713, 5783], [1822, 10864], [10817, 11325], [8907, 9485], [1687, 10447], [4703, 8478], [2934, 10253], [1843, 2292], [2242, 8979], [1989, 8533], [4550, 10865], [1496, 2184], [4233, 8714], [5516, 10429], [2085, 5208], [4351, 6491], [8516, 8701], [250, 9369], [1549, 4447], [7999, 10626], [8895, 10949], [6746, 11005], [4569, 11265], [1766, 6367], [2765, 7569], [47, 5253], [6440, 6734], [1201, 10530], [4028, 7908], [4034, 4690], [6057, 10379], [290, 1224], [797, 2718], [1418, 6034], [1884, 6773], [6571, 8156], [1632, 3519], [1069, 4345], [9126, 10673], [6235, 11590], [3587, 3597], [2496, 9222], [254, 1917], [3798, 7981], [3012, 7826], [1893, 10649], [114, 5320], [3448, 4192], [8934, 10853], [3724, 8971], [1427, 1959], [375, 6758], [2765, 3381], [588, 7805], [2391, 11276], [2505, 2518], [1895, 7662], [698, 1557], [4247, 7965], [3096, 6369], [6832, 8439], [2474, 3582], [1655, 7451], [2470, 6846], [8977, 9395], [482, 7005], [4620, 8146], [1946, 7600], [764, 6691], [4277, 11190], [574, 9977], [2752, 9161], [2490, 4465], [2751, 8936], [6437, 8290], [3730, 9516], [2424, 6097], [6190, 11042], [8994, 10099], [4849, 8541], [6468, 10205], [4417, 6632], [4248, 10795], [6144, 11047], [2603, 8664], [395, 7359], [5152, 9481], [5218, 11232], [1107, 2088], [3629, 5246], [749, 10516], [1101, 8689], [3582, 4676], [3279, 4867], [5362, 7197], [754, 7827], [10334, 11193], [7842, 10129], [4239, 6868], [526, 4967], [5300, 9702], [5544, 10062], [969, 2504], [6435, 10041], [2569, 5646], [707, 4224], [2110, 4543], [3075, 6915], [5367, 7167], [516, 11045], [2296, 6396], [7110, 9806], [916, 5502], [730, 2114], [1607, 8803], [9446, 9576], [2536, 10020], [1440, 3967], [6794, 10509], [9781, 10054], [1190, 3038], [787, 6031], [1705, 2171], [1725, 3547], [1617, 6488], [5476, 7460], [5197, 8045], [1241, 7140], [4609, 4842], [6376, 8656], [371, 7257], [5154, 8348], [2974, 9091], [2423, 5016], [8059, 10490], [2261, 6940], [7742, 9093], [6744, 9991], [6687, 7205], [2855, 3892], [577, 8264], [7015, 8764], [5996, 8785], [5213, 5895], [5993, 8487], [6, 1278], [5957, 6578], [5614, 9622], [4869, 5304], [4765, 10616], [383, 1201], [3748, 5048], [4589, 5664], [8014, 10316], [4821, 10925], [4599, 6382], [37, 3947], [2827, 7859], [6352, 9709], [5719, 9796], [1889, 6556], [2618, 6931], [526, 3357], [802, 2474], [1020, 1613], [3607, 11582], [25, 2782], [6363, 9494], [9720, 10070], [3107, 10478], [1975, 8932], [7833, 11035], [1097, 2018], [9200, 10943], [107, 7695], [174, 8917], [6361, 10552], [1972, 6382], [3871, 5397], [1808, 6725], [4824, 11172], [1472, 10940], [326, 6278], [1126, 3887], [4450, 8487], [6442, 8447], [1220, 3522], [1024, 3610], [134, 3075], [2985, 4257], [6696, 9495], [1586, 5565], [1376, 8199], [6567, 7395], [3669, 11305], [1867, 10688], [2361, 5561], [595, 11017], [3417, 8051], [8737, 9347], [1894, 6849], [4318, 8718], [1606, 3184], [3037, 11213], [3319, 10145], [1043, 4010], [8618, 11318], [3759, 4001], [3939, 6820], [4651, 5336], [14, 1064], [1104, 8800], [6109, 11024], [6290, 7652], [2351, 4442], [1162, 6526], [561, 4616], [7902, 10774], [5820, 7888], [3180, 11090], [317, 1223], [64, 777], [2868, 9283], [3639, 8406], [4265, 5650], [1928, 7907], [6040, 7073], [8156, 11041], [2732, 6389], [4478, 10080], [2661, 7677], [3383, 6881], [9546, 9620], [8696, 11170], [2051, 2995], [5346, 6103], [2782, 3473], [4896, 10778], [763, 4319], [3837, 7990], [191, 8065], [1044, 10196], [2040, 5465], [1854, 9247], [5555, 6627], [6539, 9803], [3645, 4787], [4419, 8345], [3154, 5681], [2615, 4649], [7941, 9897], [4758, 11194], [121, 9174], [7093, 8110], [248, 8949], [9370, 10683], [7933, 8501], [3133, 3299], [1302, 4196], [5163, 5995], [2733, 5809], [362, 9236], [558, 6896], [8338, 9718], [208, 8769], [3174, 8935], [3384, 4049], [803, 3694], [8483, 10072], [1858, 8211], [7517, 9727], [353, 1953], [3782, 4095], [5927, 10713], [5146, 10902], [145, 11049], [7506, 8814], [629, 1070], [7484, 10718], [5834, 7489], [6667, 8244], [3088, 9541], [4745, 6771], [973, 10679], [937, 8770], [2654, 6051], [63, 1598], [5515, 8675], [10064, 10848], [1744, 3386], [4737, 6129], [9243, 10884], [3520, 8417], [4855, 10322], [1807, 11255], [4296, 5605], [2976, 4008], [457, 5285], [3977, 6791], [3046, 9665], [399, 10942], [5960, 8917], [1512, 9802], [4910, 10379], [3131, 11466], [1982, 6533], [4029, 6200], [338, 7256], [1329, 8597], [923, 3745], [109, 788], [2249, 7062], [5562, 11473], [5676, 6125], [3403, 6677], [9571, 9760], [4867, 10682], [7365, 8528], [4898, 5831], [10130, 11444], [7542, 9918], [264, 5240], [2000, 3325], [327, 9726], [6483, 11294], [1533, 4613], [2343, 10080], [2217, 5245], [5140, 8747], [7354, 7588], [4978, 10671], [5325, 7746], [3771, 4979], [992, 11055], [8963, 11193], [625, 3125], [5320, 10785], [6440, 7783], [208, 7159], [302, 10204], [4495, 11052], [3502, 6632], [4066, 8660], [4596, 4688], [3813, 4050], [292, 2319], [3557, 9722], [10491, 11584], [1782, 4512], [10923, 11214], [1962, 9583], [3515, 6463], [464, 3715], [863, 7396], [6152, 7127], [5074, 6541], [6251, 10489], [1858, 8829], [1347, 10599], [7207, 9365], [2004, 2238], [9419, 11543], [1919, 10236], [7881, 8555], [8670, 8981], [5031, 10227], [8544, 10562], [2477, 8285], [2183, 7838], [223, 10045], [1749, 10764], [6363, 11080], [40, 11092], [4434, 9190], [2674, 8075], [1445, 7320], [2369, 7439], [8155, 10228], [3450, 7515], [4322, 7444], [590, 5493], [6094, 9350], [1904, 8773], [2372, 10339], [3265, 4729], [524, 709], [4288, 4827], [3319, 4965], [2233, 4518], [2670, 4519], [2671, 8127], [975, 4553], [2442, 11458], [3034, 9118], [2168, 5971], [6509, 6717], [10158, 11077], [6665, 7230], [292, 709], [1945, 7619], [3898, 8405], [1431, 4954], [5634, 6490], [940, 8100], [6043, 10859], [257, 1654], [3746, 11017], [10022, 10435], [808, 9112], [133, 9697], [1062, 10160], [6058, 8888], [3857, 8000], [1646, 9430], [1465, 10550], [7721, 10070], [1367, 7763], [4142, 11367], [10176, 11252], [678, 10170], [4630, 7923], [3879, 9452], [169, 11232], [2124, 2265], [7798, 8223], [7, 6740], [1003, 8425], [3372, 4925], [9197, 11052], [1884, 5407], [6020, 9885], [1039, 8055], [5478, 11588], [6455, 9059], [3432, 8359], [4894, 11537], [3277, 5038], [9061, 11164], [2580, 2666], [2082, 8805], [4444, 7544], [2047, 9750], [216, 4231], [5730, 8776], [4124, 5095], [8955, 10364], [1269, 6423], [4285, 5952], [4727, 7051], [10785, 11494], [1549, 2276], [5626, 8803], [146, 6094], [6051, 10295], [5404, 6512], [3439, 8375], [858, 8020], [4186, 9356], [6608, 8900], [204, 3066], [7302, 10220], [8417, 9907], [5332, 7575], [8792, 9030], [6127, 8977], [1248, 10807], [3574, 9889], [2579, 8806], [647, 2481], [3915, 7149], [6380, 9773], [1490, 7307], [2008, 2574], [5285, 10738], [5567, 9670], [7803, 9990], [6960, 8547], [826, 5048], [1359, 5511], [3069, 8791], [1326, 9535], [7303, 8886], [4526, 5209], [2196, 8637], [5305, 9111], [1568, 2652], [3927, 4126], [6519, 8023], [3341, 10418], [5012, 5102], [4323, 7509], [1876, 3936], [380, 6809], [134, 4124], [3233, 9572], [6450, 7105], [430, 510], [2490, 8710], [2646, 2807], [6408, 10262], [9078, 9908], [4563, 6565], [306, 8930], [1576, 5522], [3473, 8628], [1135, 1615], [1520, 2180], [4412, 10533], [4558, 9604], [2724, 4568], [1664, 5342], [387, 6825], [4279, 4527], [953, 3264], [1532, 2190], [5019, 7720], [9194, 11372], [4643, 8372], [2253, 5333], [9679, 9909], [692, 1395], [9028, 9390], [6908, 7932], [3673, 9039], [6694, 8912], [4602, 5338], [684, 753], [2787, 7899], [340, 10742], [3299, 9737], [6584, 7993], [5405, 10765], [21, 7764], [642, 10326], [8145, 8898], [3162, 10405], [3473, 7823], [3435, 5087], [6236, 7660], [8290, 10750], [2667, 9645], [4217, 8506], [5213, 10945], [6675, 7707], [5124, 10873], [3218, 4271], [8102, 8420], [3918, 4682], [8434, 10879], [3270, 10096], [1219, 6523], [849, 4738], [8569, 10515], [6032, 9708], [3761, 3917], [6599, 9001], [2896, 8542], [2984, 4225], [2328, 9024], [3200, 8953], [774, 6257], [892, 10450], [6556, 11556], [6305, 7773], [6251, 10920], [308, 10399], [2581, 6437], [681, 2279], [74, 3587], [4836, 6807], [7211, 9915], [2416, 5057], [1445, 4368], [8041, 10372], [3712, 6253], [6198, 7502], [4546, 9862], [971, 2233], [1435, 7063], [6846, 7723], [10087, 10568], [2432, 5940], [7874, 8165], [3837, 8584], [3008, 4595], [98, 5462], [1128, 8983], [8922, 10013], [6069, 11414], [8080, 11424], [3794, 8887], [4157, 6495], [1731, 3799], [6247, 9242], [3467, 6048], [1481, 9286], [894, 5554], [2035, 4210], [5133, 6747], [579, 4230], [6124, 8842], [5530, 8103], [2192, 7577], [1354, 11396], [6154, 10182], [817, 7027], [849, 9194], [3035, 5987], [3398, 10765], [879, 11288], [533, 4235], [3767, 5155], [6939, 10115], [1738, 3815], [7871, 10095], [9027, 9783], [5042, 10392], [190, 4246], [436, 7685], [780, 1079], [7338, 10763], [4418, 6778], [6220, 10778], [1953, 8291], [5254, 10433], [7181, 9998], [8635, 9151], [1916, 8409], [2876, 10437], [3693, 10659], [3996, 4052], [771, 10011], [4780, 8298], [9162, 11297], [7209, 9013], [2818, 4016], [2565, 3570], [1935, 9590], [1007, 5565], [4558, 6384], [4902, 6948], [3777, 6573], [5819, 5896], [2589, 7347], [2835, 4370], [1558, 6607], [1363, 3133], [1063, 10011], [4614, 6666], [2513, 5258], [10081, 10641], [7555, 10747], [174, 4436], [8248, 8459], [3143, 9037], [7336, 9131], [8955, 10795], [1259, 6166], [5055, 6035], [6082, 10039], [2202, 8190], [3441, 5469], [5736, 9402], [5691, 10383], [920, 2913], [6962, 9829], [4682, 11122], [10628, 11160], [5, 9703], [3674, 4135], [5071, 6918], [8155, 11277], [1558, 5802], [97, 9642], [775, 8574], [775, 2158], [346, 6182], [4484, 6569], [4419, 9557], [10200, 11248], [5513, 10619], [5286, 11394], [4066, 7749], [327, 4627], [7902, 11181], [2601, 9935], [4067, 4187], [5992, 9341], [2759, 4859], [1797, 6168], [5372, 7381], [1416, 2312], [7274, 10831], [1207, 8554], [4185, 5347], [580, 5423], [1760, 9669], [2037, 8257], [7195, 11477], [8604, 9359], [4337, 6118], [7188, 8054], [1989, 8216], [781, 1922], [7759, 10472], [4865, 5456], [3048, 10223], [7277, 9974], [1396, 10331], [4291, 6123], [4228, 11436], [364, 3704], [8085, 11581], [6460, 10102], [2485, 11399], [6267, 10461], [2765, 7252], [2946, 3880], [8233, 9200], [1514, 8458], [203, 5449], [7326, 10216], [4616, 7761], [4403, 10097], [1788, 4496], [700, 8884], [10400, 10854], [1312, 7950], [1747, 7878], [4272, 10553], [3181, 9008], [1278, 8339], [7012, 7932], [8579, 8682], [6409, 10113], [7307, 11263], [1550, 6960], [1737, 9038], [3855, 8171], [2852, 8725], [990, 8057], [2286, 3618], [1335, 9223], [6428, 11294], [8329, 11136], [1170, 10876], [309, 8073], [2448, 5831], [2410, 4593], [359, 1774], [3571, 5379], [4089, 10472], [7275, 8692], [7798, 8467], [19, 2083], [3338, 5585], [6326, 10236], [698, 4623], [2754, 6288], [3339, 9193], [1004, 5861], [3957, 11457], [10335, 11152], [8695, 9365], [6608, 10299], [2776, 6986], [3731, 8670], [3213, 6987], [1088, 7437], [2119, 2515], [5255, 7064], [3148, 5811], [8867, 11542], [1028, 4353], [4047, 10569], [2110, 8064], [2768, 9727], [1201, 1837], [59, 10126], [1301, 8834], [8928, 11414], [4809, 8825], [5117, 6726], [2790, 4009], [2292, 3732], [2660, 8100], [1218, 5574], [4112, 4174], [1342, 1668], [980, 6914], [4218, 5324], [9603, 11179], [1198, 8305], [2409, 7700], [4357, 7388], [1776, 7787], [3235, 7284], [910, 11056], [2091, 2695], [6287, 6470], [1188, 11000], [2089, 9415], [5697, 6604], [406, 3794], [4390, 10130], [3263, 9682], [5121, 6444], [2488, 5899], [2760, 4143], [1258, 1566], [1105, 3953], [8639, 10506], [1925, 10862], [24, 3850], [301, 2438], [10349, 11534], [800, 4071], [614, 7099], [793, 9316], [4060, 10376], [2345, 2588], [6151, 6932], [5653, 6655], [600, 2505], [861, 11140], [2971, 5494], [7693, 9315], [826, 2259], [8508, 8710], [4647, 6911], [3716, 9785], [8403, 11168], [5703, 9401], [1154, 7228], [4238, 5171], [7252, 8791], [2429, 7547], [89, 11041], [9581, 11554], [3146, 4155], [7409, 9906], [4102, 9447], [215, 6427], [1175, 8455], [8490, 9228], [2133, 3994], [7963, 10465], [2817, 3872], [1176, 8276], [2888, 5967], [5868, 10003], [3251, 10745], [2167, 6207], [732, 4852], [5520, 9293], [107, 4800], [3849, 5187], [878, 4677], [2326, 3985], [7269, 9495], [6584, 9392], [3160, 7594], [7239, 10784], [3614, 5320], [969, 3260], [6540, 8339], [2968, 4391], [46, 10159], [3183, 6265], [1562, 3774], [251, 765], [6229, 7888], [7655, 11409], [4050, 11485], [160, 2532], [6166, 6785], [4798, 9658], [8896, 10646], [3858, 8282], [7502, 11544], [2046, 6977], [8023, 10492], [493, 7064], [3473, 11100], [869, 9795], [119, 8543], [1829, 5407], [1509, 3739], [1603, 3374], [4125, 6532], [8894, 10169], [8956, 11047], [8316, 9963], [1941, 9031], [5932, 10122], [5082, 8262], [7907, 8223], [2494, 4484], [6483, 11164], [3183, 5460], [3905, 11080], [4332, 10393], [3857, 6902], [1152, 4791], [4928, 11178], [3951, 6537], [4769, 9613], [1529, 11130], [1586, 5248], [5722, 8972], [5792, 9711], [2800, 8324], [123, 1845], [7932, 10323], [3078, 9766], [1053, 8168], [2166, 10438], [4470, 5789], [796, 3816], [205, 3348], [3343, 7970], [896, 10813], [2634, 3309], [1574, 4083], [2919, 5922], [2064, 7128], [7079, 10794], [10289, 11320], [1217, 2533], [7130, 10759], [2997, 4300], [227, 1794], [631, 1655], [4674, 9352], [2377, 9510], [7695, 9979], [1814, 10336], [905, 10525], [243, 5710], [3797, 6046], [1300, 11054], [2148, 6425], [1212, 2539], [1672, 9879], [1864, 10049], [5601, 10092], [5121, 6257], [4287, 6031], [3098, 3951], [3005, 7924], [1513, 6035], [143, 11491], [790, 8858], [11032, 11377], [3067, 5769], [138, 3950], [296, 5290], [1464, 1605], [2250, 2514], [2962, 5194], [1461, 7723], [4699, 10297], [4570, 7443], [5941, 11257], [7088, 7449], [8118, 10216], [5754, 8398], [7839, 11555], [1296, 6343], [7686, 8307], [3023, 5066], [4449, 6335], [3265, 11015], [493, 7682], [4851, 10287], [3879, 6744], [173, 6014], [489, 10192], [1363, 10948], [4221, 9891], [6432, 9215], [2012, 4978], [2173, 9999], [9580, 11115], [179, 3550], [1910, 4701], [6591, 6993], [6708, 7578], [9020, 9206], [10, 1297], [764, 9838], [829, 7981], [2902, 8869], [2532, 7838], [3330, 5374], [909, 3022], [995, 2042], [2694, 11549], [4926, 5334], [7417, 8425], [6450, 9390], [3402, 10323], [7354, 8076], [840, 10772], [1246, 2792], [1870, 11287], [1555, 9963], [1553, 3474], [1403, 6159], [1750, 10404], [4760, 10118], [7216, 8492], [327, 9059], [1079, 4722], [6521, 6947], [705, 2037], [4086, 6417], [761, 8762], [7977, 10310], [2277, 2377], [1380, 11251], [2789, 4215], [5080, 11412], [5169, 9949], [2779, 6910], [9460, 11332], [9585, 10280], [1376, 4312], [1441, 4707], [4452, 11062], [5980, 6192], [3084, 4513], [1672, 10497], [2210, 11304], [2177, 8912], [5317, 10951], [1081, 9275], [6998, 9329], [9463, 11199], [208, 9875], [1798, 9266], [1318, 5431], [1261, 4897], [5870, 11285], [9006, 9418], [1193, 4204], [2089, 8691], [1321, 6833], [3458, 5262], [1343, 10564], [5957, 10880], [4985, 7337], [1592, 4852], [7882, 9618], [6010, 7508], [31, 914], [7322, 7709], [5357, 6162], [5360, 9843], [2743, 3415], [4489, 6352], [4047, 6007], [6347, 10284], [5410, 6173], [1015, 3686], [9043, 11528], [206, 5991], [7205, 9002], [7825, 7929], [858, 7085], [3220, 8076], [7177, 10337], [288, 1078], [4116, 6901], [604, 9420], [4644, 9272], [6010, 9736], [1717, 8280], [3460, 5284], [2088, 10667], [1532, 6248], [4579, 5090], [6659, 7149], [7200, 8227], [9514, 9958], [6476, 11579], [4604, 10223], [5652, 7934], [2885, 11361], [7007, 11215], [6087, 7862], [9679, 10934], [4070, 9535], [3165, 7214], [6809, 11230], [3949, 11460], [546, 4123], [1239, 2589], [2821, 10787], [1078, 7367], [3373, 11300], [1542, 9945], [1351, 6213], [2976, 11075], [2278, 6603], [3341, 6100], [5123, 8694], [238, 6572], [3707, 7389], [4832, 7764], [6846, 9203], [6328, 8274], [4142, 10700], [1835, 3000], [3519, 5059], [5755, 7631], [6073, 10384], [969, 9652], [3536, 5413], [1521, 7913], [5840, 10563], [2392, 4207], [8455, 9748], [4260, 8827], [6299, 7879], [2035, 9073], [9376, 9569], [547, 10309], [1409, 9550], [10374, 11300], [942, 4422], [6079, 6765], [8561, 8989], [3450, 5588], [1927, 8550], [3159, 8822], [593, 9499], [10036, 10150], [4962, 5877], [299, 2636], [6995, 8090], [4526, 8730], [3686, 10968], [769, 11418], [2909, 11276], [2847, 7365], [6548, 7751], [5858, 6550], [7718, 11309], [6761, 8044], [9624, 11495], [4337, 6175], [8913, 10171], [312, 9637], [5329, 6960], [747, 2395], [3794, 8407], [284, 1173], [1624, 9838], [373, 10290], [1178, 4833], [2124, 7909], [4663, 8038], [5531, 10477], [3984, 4717], [6348, 6535], [1078, 4602], [2599, 9141], [2320, 9726], [2265, 3603], [176, 5962], [6766, 8768], [2041, 4649], [7247, 9041], [4850, 11247], [4434, 4953], [6369, 10795], [3666, 9511], [736, 2586], [6057, 6736], [5282, 10123], [3004, 7325], [1877, 6123], [4019, 9814], [6080, 7659], [2873, 4398], [2219, 10024], [2162, 3074], [7167, 9462], [3875, 10035], [630, 10454], [7047, 7825], [3685, 7659], [5550, 7844], [2366, 9670], [8527, 11582], [9925, 10803], [7714, 9981], [463, 5214], [3978, 6376], [9177, 10351], [2921, 4415], [9046, 10834], [2565, 3090], [3758, 8295], [4260, 9445], [4468, 9394], [4005, 8172], [7737, 7871], [7019, 11038], [8290, 11238], [10505, 10681], [3678, 8716], [2532, 7464], [978, 11113], [2150, 7170], [2685, 4296], [4677, 10672], [5057, 10139], [2929, 11072], [1162, 7258], [3190, 9127], [3772, 6099], [2648, 10830], [7346, 9339], [1964, 11329], [3647, 4118], [1150, 8372], [1499, 2864], [305, 440], [4855, 9631], [2260, 11098], [920, 2433], [4720, 6962], [6148, 11310], [1977, 2115], [10359, 10455], [1851, 9358], [2071, 7412], [1916, 10507], [5598, 10089], [5118, 7008], [44, 9151], [4661, 8984], [1815, 6668], [2876, 9502], [10482, 11205], [6647, 8375], [3619, 7331], [4216, 5335], [909, 4876], [547, 3706], [7799, 11327], [911, 11338], [2186, 6022], [3239, 4077], [2244, 9410], [2906, 8563], [1433, 6724], [7840, 9823], [1176, 2372], [3858, 9949], [1776, 4811], [9802, 11072], [2860, 7814], [2583, 9980], [1683, 8003], [1141, 7454], [3202, 5299], [10786, 11215], [1959, 6366], [1102, 6745], [1382, 9014], [2636, 9991], [3006, 4606], [581, 4764], [3380, 10674], [1945, 11571], [1405, 7685], [1762, 6202], [4496, 6799], [7985, 8992], [6010, 10167], [9755, 10825], [7194, 11122], [5521, 6943], [5547, 5912], [5227, 6496], [6791, 7699], [2243, 4970], [407, 3271], [3822, 7235], [9305, 10215], [4785, 8780], [5663, 6245], [11327, 11515], [6336, 8997], [3574, 6352], [202, 4744], [9235, 11324], [634, 10790], [6981, 8920], [7979, 8022], [3689, 7241], [2290, 8549], [3558, 4314], [354, 11150], [6952, 7401], [689, 7464], [6287, 7950], [318, 2044], [3124, 4961], [4583, 8622], [8900, 11226], [696, 5602], [2642, 4463], [1869, 2261], [2736, 8262], [1934, 2656], [1120, 11033], [10514, 11011], [10457, 10477], [3953, 5193], [3667, 11023], [2265, 5644], [7932, 11185], [2333, 10474], [4277, 7010], [9426, 10868], [9135, 9938], [1979, 2025], [4191, 4203], [5808, 11456], [4989, 8155], [9629, 9692], [567, 1593], [7421, 8387], [664, 4909], [4461, 9167], [4676, 6877], [2938, 7965], [407, 7727], [2616, 5470], [2380, 3473], [682, 3236], [7071, 11391], [3088, 8663], [4522, 9793], [5293, 9670], [8304, 8855], [563, 5207], [1963, 7507], [1485, 4499], [179, 8250], [8501, 9369], [1247, 5085], [7372, 11504], [4349, 4388], [2547, 10187], [3266, 9874], [1482, 4201], [3171, 10768], [7396, 9619], [920, 5629], [3005, 8786], [4741, 11035], [5305, 6647], [5621, 10825], [3627, 7786], [604, 7086], [3809, 9520], [196, 5571], [3618, 9952], [5469, 11185], [6238, 10235], [2494, 6769], [220, 680], [4794, 10265], [2282, 5543], [4584, 6483], [320, 7677], [7324, 11032], [2020, 3853], [1145, 7036], [1993, 2407], [2305, 3433], [5063, 9342], [4319, 4872], [7581, 8594], [3014, 11477], [91, 1559], [120, 7215], [4184, 4455], [5816, 10488], [5128, 6704], [3779, 6621], [7545, 11566], [140, 1451], [1449, 10803], [5927, 11258], [5576, 10277], [5340, 8280], [2558, 3505], [2845, 6945], [4206, 10071], [2657, 7648], [5293, 7710], [6242, 9549], [2899, 7181], [3521, 9187], [6570, 8856], [1, 4675], [468, 9776], [3704, 11523], [8590, 10083], [10990, 11558], [4170, 4348], [3953, 5811], [5381, 10159], [1401, 10358], [7581, 10822], [3878, 9609], [2603, 6257], [8215, 11337], [7491, 7896], [4942, 9708], [6900, 10838], [6124, 11371], [735, 7272], [895, 3023], [4193, 7900], [6767, 11248], [640, 1750], [4437, 8260], [2534, 7591], [488, 4362], [5987, 7875], [7241, 10350], [10066, 11065], [7304, 8420], [1043, 2140], [4682, 5812], [637, 1452], [1879, 2412], [4186, 7860], [7016, 11171], [1748, 3649], [631, 3135], [2812, 10164], [9474, 10372], [1160, 6862], [41, 9685], [7601, 11043], [7293, 10890], [7914, 9288], [851, 8736], [6947, 10253], [9720, 10778], [4570, 6695], [207, 7129], [6187, 10915], [7152, 7625], [793, 810], [2164, 2372], [10382, 11055], [2624, 3296], [4432, 7111], [1727, 5000], [517, 8459], [7798, 8150], [2621, 2998], [2533, 9944], [2083, 8203], [6418, 9858], [1683, 5051], [8004, 8376], [4922, 10479], [7938, 10008], [1046, 1232], [6195, 11506], [8053, 8268], [4942, 11131], [4759, 5762], [8396, 8607], [3907, 7239], [3726, 8359], [5348, 9540], [4121, 4724], [865, 4954], [20, 6848], [8129, 9202], [1076, 2922], [9407, 10573], [7382, 8221], [4369, 5957], [3061, 8127], [2818, 9123], [5674, 11403], [1665, 6700], [5798, 6743], [4805, 8739], [6112, 7842], [899, 7197], [4574, 5608], [10155, 11375], [2520, 8153], [3733, 4211], [5914, 11240], [6463, 8072], [962, 7896], [5041, 6922], [118, 6982], [1119, 4847], [1585, 4088], [4725, 6127], [10142, 10739], [354, 1782], [1640, 7178], [348, 8383], [2070, 6762], [575, 1192], [11185, 11489], [2904, 10371], [1629, 9271], [2159, 5299], [4034, 4674], [259, 8311], [393, 5093], [3970, 7133], [4653, 10573], [5025, 6769], [7332, 8053], [8752, 11005], [6449, 10594], [5757, 9320], [4141, 11337], [1593, 7712], [2742, 6229], [87, 9897], [9082, 9604], [6064, 9248], [10701, 11268], [4576, 4849], [10014, 10338], [1394, 3338], [6034, 11291], [2732, 8170], [4845, 6959], [2393, 4540], [531, 3872], [464, 2650], [5808, 8504], [6243, 8432], [1888, 9508], [742, 8256], [1889, 10110], [3004, 9797], [2080, 3262], [3004, 3381], [4626, 10978], [5185, 6246], [6546, 9372], [6303, 9614], [6420, 10953], [950, 5926], [1387, 2517], [9876, 10754], [5490, 10265], [886, 1969], [6603, 6873], [1697, 10290], [849, 2087], [1150, 5233], [4771, 7545], [619, 8980], [7349, 7602], [9835, 10349], [4257, 8263], [9129, 9369], [4014, 9259], [955, 1732], [4017, 8776], [3834, 9823], [6057, 11436], [4603, 5867], [150, 6408], [4792, 8772], [740, 989], [5122, 10404], [304, 3842], [2446, 7533], [3822, 9439], [7060, 7849], [4371, 5517], [4474, 7150], [3853, 4588], [5370, 7473], [7837, 10924], [2013, 7651], [1390, 8426], [3773, 8042], [9108, 10370], [10032, 11243], [8103, 8599], [1719, 10587], [3372, 4665], [8731, 11551], [973, 6044], [1721, 10633], [5086, 8064], [4086, 6637], [1211, 1671], [6164, 7869], [4612, 5929], [5438, 5513], [5689, 9296], [3892, 9023], [3235, 4552], [2483, 8889], [972, 9202], [119, 7071], [4912, 9604], [559, 927], [1639, 7975], [2019, 7442], [1355, 8216], [28, 11090], [1019, 8267], [5088, 10769], [5939, 9821], [490, 6425], [7771, 8368], [238, 4669], [3414, 6365], [10936, 11403], [2197, 2991], [669, 4855], [2006, 3423], [1782, 10131], [6830, 7521], [3318, 10040], [10224, 10608], [9276, 10869], [5081, 9948], [15, 9700], [7792, 9595], [4055, 9552], [4648, 10066], [1030, 5773], [751, 6358], [9030, 10813], [10926, 11065], [3369, 9224], [2671, 4752], [1306, 10552], [2844, 7124], [486, 1364], [7245, 11304], [1245, 10249], [4624, 11550], [4161, 10328], [6277, 7880], [895, 3454], [2455, 9419], [6526, 8584], [2228, 4532], [6775, 9288], [3941, 11493], [8113, 10710], [6155, 10334], [5804, 8599], [5962, 9939], [1762, 8674], [3928, 9753], [8172, 11290], [99, 10875], [3745, 4384], [498, 8140], [1098, 6415], [4026, 10261], [4109, 5600], [528, 3818], [1971, 2782], [8944, 10988], [2991, 9779], [2051, 10655], [1278, 8453], [3950, 8172], [8931, 10002], [10021, 11322], [4880, 5073], [865, 9223], [891, 8192], [7269, 8641], [672, 3166], [1379, 4748], [4723, 10724], [3030, 4415], [5239, 9328], [4530, 4667], [5335, 9036], [6952, 9873], [2821, 4241], [1633, 5015], [7980, 10315], [8790, 9366], [7792, 11018], [9323, 9829], [1252, 6077], [3404, 9702], [3461, 10236], [4710, 6705], [1651, 3342], [407, 1555], [5669, 8508], [5263, 7820], [2033, 9271], [1345, 5487], [221, 7966], [97, 10374], [1809, 8065], [1802, 6894], [3462, 4395], [3670, 10760], [4633, 10807], [7491, 9750], [2952, 8265], [8922, 11363], [9794, 11292], [4190, 10237], [2669, 5698], [1803, 6715], [246, 267], [832, 3774], [7363, 7471], [5215, 10381], [2128, 11386], [6868, 10875], [4399, 10761], [1792, 5775], [796, 1084], [1542, 9010], [2539, 10139], [1464, 9127], [2307, 10570], [5579, 7810], [3738, 8019], [1159, 2075], [4959, 6604], [3954, 6331], [10645, 11441], [310, 817], [4451, 7137], [2863, 5540], [1061, 11339], [7910, 11373], [1121, 2722], [2433, 9339], [5846, 6060], [4108, 7148], [3920, 7851], [1484, 4467], [3824, 10772], [7890, 9593], [2658, 3980], [5345, 5485], [4782, 6311], [2918, 8980], [630, 1330], [1848, 1896], [3625, 6398], [2384, 8292], [1691, 4164], [4985, 10053], [7909, 9993], [724, 2096], [3746, 5577], [3837, 4941], [3949, 5182], [463, 2506], [9277, 11257], [3761, 5885], [242, 817], [10243, 10821], [4973, 8888], [372, 6525], [5690, 11158], [1764, 2548], [530, 1449], [5006, 8247], [980, 8101], [1014, 6931], [1580, 3370], [7424, 9547], [8272, 11334], [6300, 6364], [2403, 2656], [2408, 3000], [3381, 9397], [8644, 10159], [3130, 5614], [4967, 8669], [855, 3087], [7329, 9660], [4094, 8515], [3717, 8565], [7110, 8798], [5790, 11338], [2367, 5978], [8236, 8270], [7525, 9198], [4349, 5250], [8120, 10539], [3581, 9808], [1243, 2795], [7055, 10969], [5226, 5523], [8169, 10431], [4724, 7756], [7158, 11067], [434, 9981], [262, 4801], [3293, 9526], [4838, 8797], [7145, 10081], [3867, 8108], [2654, 4880], [4030, 9038], [7228, 8803], [2930, 3997], [2532, 7334], [8313, 9779], [4388, 10439], [2933, 11061], [5665, 11585], [3084, 4814], [10236, 11073], [4136, 9814], [4003, 10224], [5314, 7571], [4763, 9912], [902, 8113], [245, 2888], [608, 7666], [8044, 10678], [4592, 7586], [3783, 11389], [4344, 7484], [6214, 8767], [1577, 10911], [949, 4926], [1828, 1862], [5253, 6514], [5831, 5996], [1142, 7950], [9108, 9996], [5001, 8922], [1732, 4783], [4614, 8284], [8077, 9256], [3968, 5103], [4740, 10086], [7482, 9046], [2561, 11431], [591, 8786], [1750, 8745], [2431, 4942], [1182, 2811], [2240, 6128], [5034, 6776], [3664, 6570], [4875, 5965], [1703, 5142], [2272, 7514], [6687, 10653], [6656, 11340], [990, 9407], [8208, 11028], [5405, 6130], [5150, 11273], [3716, 9362], [7293, 11402], [2819, 11066], [2260, 7130], [1539, 7370], [4400, 9994], [921, 2073], [2042, 11374], [5274, 9969], [7915, 8123], [2490, 8531], [597, 8550], [2092, 7704], [1657, 2114], [4961, 8691], [7817, 10217], [653, 3197], [2337, 5256], [721, 7273], [4730, 5560], [4221, 6622], [680, 4239], [7711, 10171], [1539, 9598], [835, 4527], [1915, 11575], [9819, 11245], [2730, 5308], [5813, 6059], [235, 10389], [4779, 5802], [295, 4778], [1158, 6873], [2806, 9275], [2407, 2588], [5584, 10144], [8445, 9762], [506, 6129], [3236, 5072], [5438, 6562], [1095, 2737], [5444, 9760], [6755, 7107], [1526, 5175], [6197, 8277], [7195, 7379], [1, 7310], [4636, 10755], [6790, 9545], [4135, 4545], [9826, 10480], [2768, 3856], [7711, 9366], [2950, 9000], [25, 5425], [3130, 7655], [514, 11251], [5751, 10792], [2790, 4554], [6730, 10618], [792, 4025], [951, 8219], [1818, 8558], [8602, 9695], [3050, 8830], [4735, 7327], [1034, 7695], [4697, 11007], [5416, 10694], [1464, 6525], [404, 7299], [2202, 10426], [8910, 10979], [2899, 5628], [3149, 11438], [1458, 8962], [9431, 9927], [6566, 9813], [4658, 8800], [4704, 9145], [4539, 6634], [7376, 8864], [3205, 6085], [2709, 8887], [431, 6089], [1259, 2336], [4450, 5064], [168, 791], [5840, 6676], [4834, 6932], [6344, 7118], [6019, 11522], [489, 2280], [2540, 3601], [4842, 10957], [348, 2829], [728, 2296], [382, 1659], [6328, 6615], [7535, 8520], [797, 3564], [3961, 10161], [9539, 9995], [5955, 6784], [9372, 11575], [3589, 8303], [2431, 7788], [3773, 10864], [1968, 10730], [947, 10678], [402, 6448], [1754, 6048], [10114, 11431], [5725, 7261], [5298, 5696], [2125, 7681], [6136, 6795], [6683, 6964], [6065, 8083], [158, 9471], [8741, 10173], [298, 8727], [4138, 5485], [9328, 10872], [1052, 10098], [460, 6022], [1489, 4437], [3734, 4089], [1210, 5022], [2325, 11125], [297, 7721], [3284, 6512], [577, 8492], [2559, 2846], [5986, 8325], [6736, 9577], [10003, 10637], [571, 3759], [1968, 6542], [980, 2466], [4183, 8237], [5704, 8612], [977, 7830], [4425, 7770], [3769, 6153], [6260, 9998], [2767, 3899], [1619, 8990], [5299, 7745], [347, 10817], [774, 10884], [9423, 9954], [7561, 9286], [1210, 7250], [699, 1850], [241, 972], [2768, 4474], [7989, 11426], [4226, 10162], [1539, 2995], [2882, 11177], [7240, 7366], [1168, 3991], [4554, 9469], [925, 10649], [1350, 3473], [6733, 9255], [5024, 11081], [2285, 7888], [1075, 11347], [887, 11296], [4275, 7021], [758, 2780], [6826, 8665], [702, 11516], [10427, 11099], [7916, 9985], [7446, 7592], [5536, 9162], [4144, 5225], [1300, 5988], [2488, 10095], [2142, 3042], [2295, 10454], [7496, 10338], [6775, 7572], [1059, 6276], [9266, 11417], [998, 8252], [5533, 5831], [9638, 10242], [2009, 6835], [6398, 11005], [5658, 11195], [2068, 5163], [7150, 10051], [636, 3325], [2408, 8237], [9290, 9909], [7228, 8429], [1877, 4814], [9060, 10386], [1746, 1887], [1090, 6686], [5004, 5867], [814, 5290], [7476, 8908], [1316, 6440], [1526, 7216], [5015, 9409], [2873, 6472], [7160, 10365], [4137, 9665], [3149, 11251], [2676, 9341], [3041, 7776], [5700, 7233], [552, 10393], [3568, 9922], [796, 6589], [9271, 10956], [519, 1585], [1205, 5296], [9109, 10628], [8489, 10920], [6739, 10493], [2169, 8197], [4373, 5596], [882, 2576], [3412, 6349], [8166, 8954], [2660, 4270], [3284, 10513], [9889, 10187], [7981, 9174], [3967, 4127], [13, 5547], [1498, 4013], [11026, 11353], [9940, 10906], [1284, 3495], [1502, 11302], [3548, 8115], [3085, 6139], [2777, 8238], [1404, 2099], [282, 1241], [3903, 9969], [4020, 4138], [10494, 11465], [3015, 4619], [1285, 9732], [2930, 6201], [5421, 10046], [5882, 8189], [7186, 10781], [92, 10916], [4631, 5231], [157, 9059], [2454, 9655], [928, 2520], [4566, 8219], [6255, 10622], [916, 10804], [1939, 10902], [1627, 2679], [2043, 8973], [8080, 8375], [2166, 6340], [853, 6668], [820, 10692], [414, 5840], [3365, 4974], [5768, 10130], [5448, 10714], [7571, 9437], [4980, 9148], [2595, 6453], [3682, 10508], [3773, 9872], [370, 2535], [5672, 7389], [2802, 9183], [9739, 11316], [1747, 8049], [470, 3116], [4081, 11156], [5602, 11531], [1562, 7515], [8561, 10526], [1581, 5313], [1175, 4625], [4736, 9138], [3578, 6371], [1047, 5379], [400, 1596], [5157, 10134], [3949, 8004], [5384, 7107], [1490, 2916], [7682, 10557], [4005, 11319], [239, 4122], [1020, 4687], [1524, 1746], [9763, 9808], [4448, 8856], [274, 6560], [2977, 7844], [1012, 3291], [6125, 7492], [1312, 6966], [5176, 8282], [2903, 8834], [317, 8135], [5174, 7455], [8795, 9767], [411, 4764], [1011, 9455], [4280, 7178], [311, 1150], [1596, 3692], [1867, 3963], [1846, 3086], [4112, 8533], [1242, 1659], [4638, 7825], [5166, 10196], [1245, 1930], [3736, 9185], [6069, 9438], [2218, 8327], [5193, 5603], [1428, 10682], [1110, 5677], [5624, 8041], [5025, 7712], [2908, 5771], [6565, 9992], [514, 7494], [6771, 7616], [298, 3897], [3563, 10546], [2477, 5935], [2379, 2394], [362, 11237], [1014, 2532], [782, 2963], [2502, 6931], [1592, 8430], [5389, 8524], [1810, 9821], [6701, 8725], [8, 2788], [5916, 11424], [7786, 9701], [6162, 8447], [6886, 7724], [6447, 11060], [4360, 7830], [1528, 3692], [6354, 8617], [5449, 6296], [6101, 10423], [5416, 10320], [1964, 4222], [5847, 6342], [921, 1967], [833, 6284], [3675, 4694], [4974, 6188], [3912, 10299], [8435, 10497], [7026, 10363], [4841, 10762], [3535, 7343], [5508, 9505], [2263, 3508], [304, 9323], [2329, 5259], [3506, 5824], [856, 9836], [3344, 7748], [6341, 7227], [3530, 3966], [5455, 9120], [7366, 10404], [611, 7753], [5764, 10629], [1600, 4103], [3378, 9961], [2377, 5680], [410, 6716], [6136, 9454], [6104, 9916], [2331, 7964], [3329, 6312], [1063, 1619], [6625, 8864], [2056, 9422], [5165, 5732], [3262, 4309], [5851, 8689], [6231, 8910], [6281, 8273], [7843, 8649], [5531, 7021], [985, 5119], [6308, 10096], [1717, 9175], [3443, 10736], [81, 9816], [1139, 2553], [125, 10088], [2019, 6507], [1427, 2431], [9114, 9980], [2695, 3114], [1392, 10546], [8823, 9050], [2510, 3334], [9879, 11540], [2631, 4792], [40, 3749], [4365, 10378], [886, 2457], [8045, 9887], [5144, 10116], [5853, 8361], [1591, 6218], [9383, 10555], [691, 1989], [2314, 6024], [6347, 8869], [2116, 5285], [9927, 10426], [4139, 6810], [120, 8589], [2000, 7554], [4975, 11246], [1778, 3011], [1301, 2857], [2949, 9423], [6120, 6611], [185, 10115], [1547, 3263], [3105, 6903], [6174, 10230], [2639, 11045], [203, 7661], [2104, 7503], [2159, 7210], [2823, 7190], [3098, 9115], [5183, 11518], [135, 6214], [257, 7143], [9969, 10628], [3923, 8474], [4647, 8505], [6486, 7469], [6699, 8516], [3115, 9469], [873, 9334], [6827, 11145], [9119, 11397], [3360, 7021], [10715, 11357], [2202, 4254], [7931, 9919], [4045, 4091], [7460, 8055], [390, 6332], [3361, 6842], [2055, 4177], [1210, 6071], [3696, 8818], [2630, 9023], [9390, 9766], [5966, 8722], [8602, 8784], [2475, 5702], [1270, 9505], [6299, 7619], [5583, 8203], [2818, 6041], [3871, 4096], [8045, 11310], [9011, 10120], [697, 6610], [1807, 5953], [3436, 8305], [6047, 10000], [5292, 8404], [9495, 9940], [8872, 10715], [2862, 8218], [3614, 3881], [4453, 7834], [6311, 11012], [36, 1616], [3668, 4117], [740, 2900], [4872, 5724], [4976, 10211], [671, 4234], [3499, 10882], [6647, 10530], [3073, 5755], [4989, 6659], [3283, 6504], [2368, 3495], [1781, 10343], [3830, 6673], [602, 2535], [6111, 10900], [2775, 5539], [2926, 4954], [4923, 5258], [1220, 4799], [4363, 10519], [1777, 9820], [8434, 9684], [5225, 9760], [4509, 10344], [363, 2145], [11135, 11272], [5132, 6536], [3193, 3204], [5309, 11336], [496, 11534], [7454, 8128], [9630, 10649], [5837, 10674], [5966, 7112], [1935, 6622], [1100, 9204], [642, 8326], [8577, 8807], [4439, 8420], [1946, 4502], [948, 5400], [543, 7566], [7107, 11403], [8354, 10455], [5575, 5951], [6815, 10248], [2858, 6489], [4337, 11526], [3303, 6351], [7661, 8956], [2863, 10216], [4888, 6152], [8145, 8776], [1056, 2839], [4292, 11002], [4879, 8318], [5346, 10413], [3508, 10139], [3193, 8815], [2076, 8301], [2205, 4739], [739, 4071], [6613, 6707], [825, 3091], [1291, 11000], [4369, 9909], [453, 1233], [2973, 9980], [9449, 10964], [2324, 9534], [3754, 4129], [2470, 2943], [10618, 10887], [408, 7125], [6230, 9571], [4058, 7923], [2222, 8476], [2802, 4621], [4018, 10776], [5709, 7590], [8567, 10697], [2607, 8317], [2462, 4930], [8429, 10763], [2338, 3174], [6080, 9977], [2644, 6664], [1428, 6925], [2028, 2194], [5607, 7313], [5886, 10111], [8183, 10707], [1361, 9086], [1061, 2378], [930, 10031], [6062, 11276], [8266, 9429], [331, 2532], [8670, 9290], [979, 9169], [5552, 9484], [700, 3338], [2380, 8661], [8419, 8890], [1380, 7234], [1442, 1696], [2629, 2949], [4065, 11322], [6111, 8135], [378, 11396], [2742, 6798], [5429, 7549], [7237, 11364], [127, 10996], [1216, 2292], [2859, 4350], [4118, 7923], [5386, 7852], [4457, 5137], [2772, 11521], [3481, 4104], [6906, 8756], [6250, 7139], [4176, 8278], [5107, 5404], [5568, 10717], [1110, 10914], [1956, 9622], [3972, 9976], [6527, 9110], [1260, 4442], [6435, 9521], [1428, 6470], [6490, 9228], [4648, 9212], [8036, 9101], [2999, 9591], [1168, 1820], [760, 6721], [1510, 4967], [1687, 6357], [8787, 10174], [4463, 10563], [2715, 6799], [98, 10951], [5266, 8443], [7387, 11257], [6534, 9126], [9426, 11063], [6315, 7510], [2576, 7394], [217, 9303], [1112, 3766], [9919, 11346], [1175, 8252], [19, 2148], [8055, 9851], [3629, 5799], [1483, 5372], [4007, 9357], [6154, 6222], [4306, 5260], [1252, 2995], [1689, 2996], [984, 11286], [1562, 6604], [1290, 2698], [525, 6049], [9499, 11295], [3207, 6456], [2061, 5204], [5973, 9974], [5911, 9096], [4739, 8875], [2583, 7760], [1484, 8956], [271, 1564], [5056, 6488], [7583, 9990], [6482, 7757], [2417, 5374], [5553, 9923], [8858, 10309], [2962, 9634], [4615, 5210], [126, 8006], [2183, 9115], [2711, 9234], [2864, 5312], [969, 8668], [3858, 6924], [3116, 10451], [251, 3140], [497, 6579], [4382, 6520], [4565, 11108], [526, 8448], [7033, 10997], [578, 2222], [2809, 4450], [634, 5537], [670, 5194], [2967, 5790], [10475, 11122], [9506, 10506], [3116, 9296], [5827, 8189], [1030, 8920], [1231, 6924], [4063, 10308], [2721, 5734], [4271, 11011], [326, 11019], [277, 7370], [3210, 11560], [2553, 7089], [7695, 9776], [5608, 6546], [9987, 10028], [8521, 9360], [2805, 7310], [2531, 8993], [5038, 10365], [3833, 7752], [2083, 7325], [85, 7550], [4730, 9431], [1920, 9778], [2083, 10708], [1148, 10430], [8230, 8780], [7431, 11019], [10731, 11061], [5901, 8646], [7676, 10823], [5551, 9021], [2724, 5227], [1129, 8875], [2070, 6689], [2978, 8527], [3787, 11140], [6105, 6197], [3441, 10503], [2567, 7495], [3998, 9108], [1164, 10559], [4674, 11377], [71, 8941], [3987, 4031], [4233, 7470], [2689, 5391], [2931, 11340], [4053, 5782], [2397, 4990], [1676, 2978], [3544, 6844], [1649, 10200], [5572, 6461], [9118, 9942], [646, 11508], [7399, 11080], [6745, 10290], [3820, 5961], [2199, 7634], [6404, 9997], [2853, 6926], [3346, 10242], [1226, 11036], [6026, 9822], [3383, 8589], [2373, 6474], [5903, 8668], [7396, 7749], [1623, 10857], [3428, 4575], [4670, 10453], [876, 3460], [5518, 5824], [3370, 10986], [4560, 9504], [1587, 8167], [7414, 8705], [2438, 7219], [3544, 9072], [94, 6807], [594, 11294], [10139, 11441], [5743, 10264], [1013, 5801], [5759, 7734], [2170, 8343], [2729, 10027], [776, 9995], [6409, 9536], [108, 447], [3757, 4053], [3478, 4638], [7635, 9239], [2778, 3503], [4164, 8349], [9252, 10076], [2595, 4550], [3990, 6506], [884, 9713], [7355, 10353], [1319, 9641], [1563, 10001], [5081, 10680], [944, 1069], [7000, 8849], [5601, 10157], [2247, 9852], [6285, 6625], [2362, 7358], [2860, 11018], [3980, 4633], [2232, 5033], [5162, 5542], [748, 3759], [2761, 11012], [7547, 9368], [4000, 9422], [1988, 11439], [481, 2102], [1287, 10079], [609, 6983], [4408, 7904], [1435, 6567], [4081, 11481], [204, 2733], [8915, 9851], [2403, 6958], [350, 8974], [8574, 9558], [5916, 7293], [1564, 5634], [1657, 2415], [9177, 10790], [6599, 7700], [2269, 4110], [1114, 7276], [2454, 9525], [6590, 9085], [6903, 7330], [181, 655], [9766, 10781], [1242, 9905], [3482, 9967], [3425, 9433], [7279, 10061], [1890, 10880], [4968, 11287], [211, 2749], [4162, 6693], [912, 6768], [4217, 6400], [5614, 9183], [2201, 5265], [2001, 8617], [2190, 5106], [5514, 8952], [2251, 8011], [4680, 8726], [9341, 11140], [506, 6430], [3299, 3443], [3266, 7467], [1624, 9017], [3264, 4388], [3236, 8756], [213, 8056], [1046, 8811], [4485, 5225], [10766, 11403], [1755, 10439], [7023, 11545], [7944, 11366], [728, 3402], [110, 10937], [848, 4258], [2009, 4290], [8454, 10125], [5390, 9424], [5025, 8737], [3182, 7365], [37, 5736], [1573, 4891], [4266, 5487], [2251, 3823], [2937, 5282], [1189, 1518], [7164, 11376], [2429, 5815], [4550, 8629], [9240, 9529], [3858, 7355], [7096, 9929], [2410, 11400], [5908, 10703], [5502, 10015], [505, 7652], [680, 5963], [10040, 11275], [2015, 7868], [1829, 4480], [4203, 11150], [4313, 4902], [5123, 10369], [10143, 11373], [1045, 7781], [6812, 10520], [2638, 4060], [5057, 5585], [6930, 8297], [25, 11337], [72, 4013], [4249, 10744], [6895, 11494], [2251, 6051], [916, 2648], [5489, 8625], [1817, 9731], [3749, 9640], [1161, 8114], [2899, 4774], [3069, 3465], [3900, 9809], [2222, 10948], [2439, 3069], [3552, 6093], [2306, 7643], [218, 10604], [6823, 10278], [7822, 11480], [1253, 8053], [3514, 6740], [1272, 5851], [4910, 11550], [6775, 9483], [4407, 10929], [4508, 4565], [2075, 7114], [3069, 8726], [5247, 11320], [4127, 4873], [4782, 9271], [5754, 6398], [3251, 8208], [1136, 9346], [2918, 5524], [855, 6852], [4931, 6361], [550, 6216], [1042, 6678], [7883, 8349], [5176, 9575], [608, 3942], [3374, 8958], [3157, 4759], [688, 4645], [5151, 5546], [3349, 11345], [4089, 8903], [2621, 8162], [7388, 10972], [2192, 5016], [4052, 9775], [3923, 6921], [6166, 10664], [4048, 5869], [2425, 7469], [6162, 7512], [1463, 8778], [4852, 6603], [5633, 7168], [5342, 10402], [8528, 9376], [2430, 11196], [3134, 9097], [3848, 8440], [6062, 6527], [4477, 10863], [1385, 5862], [1453, 3522], [295, 4892], [10992, 11401], [2833, 4796], [744, 11319], [1005, 9374], [9346, 11297], [1245, 8834], [627, 9953], [3982, 6696], [5014, 11044], [6788, 9613], [1337, 8800], [2581, 7177], [150, 3383], [3259, 3857], [2484, 7244], [4046, 7620], [607, 4790], [6961, 7097], [579, 9158], [6365, 9695], [2517, 6603], [2983, 11506], [6250, 9156], [1984, 9523], [11447, 11550], [47, 602], [4766, 6404], [3993, 10618], [5526, 6092], [4218, 9016], [5682, 6605], [2067, 8245], [231, 5792], [1031, 6407], [4828, 6501], [11151, 11407], [4334, 10130], [6768, 10435], [5698, 10521], [11109, 11181], [3702, 6655], [2836, 9924], [2299, 4057], [3119, 10212], [5667, 8175], [2649, 11229], [3433, 11311], [2766, 6152], [842, 3852], [6587, 10804], [6525, 9926], [4728, 7401], [779, 9919], [2334, 9124], [483, 8645], [3700, 6178], [6145, 6672], [766, 8179], [5835, 6446], [3382, 10972], [5094, 8663], [6685, 7525], [706, 7347], [5584, 8298], [3244, 4622], [1406, 2096], [258, 6433], [1975, 4468], [3212, 5084], [3988, 5305], [5181, 7504], [1470, 3020], [7137, 7807], [4207, 7298], [2161, 10485], [1841, 11069], [3737, 4905], [5352, 9079], [3480, 6969], [7070, 9968], [4670, 6241], [5636, 11467], [9736, 9872], [9493, 10114], [4248, 9177], [8461, 11401], [7033, 7053], [8487, 10370], [1456, 2159], [296, 11397], [4872, 8977], [755, 3051], [4681, 5245], [5030, 10317], [4345, 9460], [3460, 8545], [2474, 4542], [134, 3872], [1409, 4972], [5925, 11169], [1715, 8462], [1849, 5244], [4894, 9675], [2222, 3540], [3676, 6857], [3842, 8058], [1561, 1579], [2371, 7046], [3744, 5271], [6698, 10338], [8260, 10714], [4430, 8228], [760, 10161], [5328, 9378], [8687, 10781], [3733, 6610], [6006, 6812], [6193, 8890], [5903, 8562], [6214, 6734], [10300, 11095], [3881, 4229], [7702, 8881], [7027, 9466], [1831, 3510], [1392, 6846], [1225, 1256], [10164, 10453], [9758, 9765], [8977, 9200], [8445, 9339], [1974, 2283], [3684, 9727], [1602, 6841], [1949, 4670], [1140, 8473], [5827, 9856], [4032, 10410], [6885, 9009], [1193, 5855], [5678, 9733], [5838, 7736], [2906, 6400], [7197, 7783], [982, 4854], [3308, 3936], [1718, 11338], [7785, 7953], [66, 8036], [432, 9325], [253, 7862], [1151, 9012], [3988, 7078], [4853, 5836], [89, 291], [5508, 7228], [5415, 11201], [1363, 9834], [2273, 6837], [2667, 6010], [1237, 11415], [275, 2144], [1331, 4634], [2480, 3151], [3979, 9594], [2534, 3387], [2291, 3629], [2222, 7996], [1814, 10645], [3223, 4363], [3748, 9846], [2833, 6837], [2750, 5082], [4615, 5267], [1533, 7370], [1194, 1488], [6667, 10196], [7262, 7373], [2959, 8639], [5954, 8045], [4364, 11283], [1965, 11164], [432, 8520], [3670, 6930], [4169, 8563], [1958, 9993], [11075, 11383], [10239, 11111], [3950, 9953], [842, 3665], [5154, 5925], [2232, 5277], [3076, 3912], [3420, 3722], [894, 3074], [7024, 10591], [6497, 11074], [7140, 10951], [4060, 7465], [271, 816], [6585, 10140], [1200, 2033], [1229, 6935], [6631, 9734], [9284, 9403], [5044, 10991], [7198, 9027], [3867, 4010], [9648, 9865], [1834, 10842], [2920, 5627], [1278, 3013], [8459, 11168], [1293, 6704], [6141, 8944], [857, 7305], [3904, 8399], [3379, 6299], [359, 9280], [1916, 9312], [1730, 10088], [3535, 3806], [6895, 10315], [3652, 5145], [1279, 5493], [5492, 7717], [4024, 10386], [6080, 7887], [8444, 9705], [7451, 9449], [6456, 10618], [5114, 5290], [8992, 10476], [2278, 10832], [1810, 8512], [504, 5847], [3761, 8471], [6032, 7846], [5699, 11578], [2743, 5684], [7684, 10367], [2975, 4529], [4108, 8929], [5625, 6152], [2602, 5452], [1791, 6176], [8554, 10600], [8948, 10527], [2050, 7568], [486, 4113], [3533, 5961], [3555, 7440], [2034, 2901], [8976, 9542], [4191, 4618], [8379, 11538], [36, 2372], [5521, 8431], [10756, 11309], [3652, 10756], [6494, 9166], [2413, 9313], [1948, 10674], [7540, 10214], [539, 7130], [3372, 5454], [4091, 4387], [5703, 11296], [6167, 9710], [5262, 7389], [4767, 10793], [7093, 9875], [7216, 7996], [4348, 8365], [1982, 5720], [8435, 11416], [2448, 4961], [620, 9539], [6396, 10886], [643, 9708], [8229, 10035], [672, 8948], [882, 3308], [3970, 5157], [5737, 8971], [637, 9893], [6022, 11584], [36, 7983], [581, 5797], [3193, 5465], [6015, 8915], [1506, 9524], [919, 5792], [5167, 9757], [1647, 1835], [1650, 2106], [6378, 9906], [1376, 7199], [619, 4776], [716, 8092], [1096, 8313], [26, 1229], [739, 9015], [2430, 5829], [1831, 11162], [3075, 6533], [4981, 7473], [2984, 10552], [7333, 11159], [1354, 2313], [2374, 4392], [7143, 8783], [7138, 8439], [4674, 8669], [9850, 10940], [5514, 9814], [1816, 3283], [2991, 7185], [7409, 9841], [90, 998], [781, 5053], [6223, 11442], [27, 6311], [5357, 9049], [104, 8975], [6883, 7516], [2492, 8935], [4481, 5214], [8089, 8819], [10549, 11099], [6220, 11144], [6822, 9492], [862, 7112], [4941, 10302], [3612, 5933], [680, 11013], [181, 7128], [4135, 5708], [7519, 10359], [5445, 11498], [2580, 11384], [8774, 9272], [274, 7292], [6081, 7952], [8417, 8476], [2725, 10984], [3006, 10445], [1626, 8797], [9628, 11254], [2501, 8997], [4982, 4984], [3681, 6827], [3948, 4727], [1711, 4182], [4106, 6067], [995, 8930], [780, 10439], [5068, 8141], [7590, 10545], [6351, 9102], [5037, 6576], [5609, 8465], [8714, 11449], [4311, 9101], [3440, 5610], [1675, 8258], [2040, 6693], [4497, 5292], [1102, 8396], [7461, 8795], [2408, 5399], [9486, 11147], [3158, 3645], [8198, 8307], [6952, 9857], [7454, 11007], [5577, 9307], [1258, 3624], [6335, 8168], [2813, 9999], [3771, 11200], [5731, 6741], [1570, 11066], [4731, 6812], [1333, 4737], [1838, 5404], [3789, 9527], [5069, 6807], [3833, 9045], [2954, 5693], [1331, 7293], [3793, 9646], [5966, 8486], [3297, 6032], [4725, 10380], [7412, 11131], [5199, 9482], [1949, 3141], [1861, 7458], [6742, 11336], [2446, 3947], [2700, 4995], [6306, 7773], [4279, 9512], [4659, 8979], [4072, 5247], [1383, 7833], [1968, 4322], [799, 7782], [694, 3824], [7486, 9740], [5490, 5874], [2255, 6981], [2258, 10662], [6272, 9293], [634, 2992], [1496, 8649], [2519, 7993], [690, 3301], [4058, 7419], [5572, 10787], [5656, 9734], [9052, 9484], [337, 11292], [5796, 9714], [4017, 4385], [6415, 11449], [6056, 10607], [1059, 8244], [1429, 7023], [6785, 10982], [4347, 6017], [1489, 7828], [4072, 4092], [5444, 8508], [2025, 7808], [4346, 6546], [1670, 9337], [3974, 4688], [1890, 11555], [10104, 11451], [3468, 6048], [6430, 9478], [2127, 10744], [5614, 9858], [1388, 7372], [4366, 10581], [851, 3003], [3908, 9703], [5856, 9391], [384, 10707], [3488, 4421], [1541, 7587], [416, 796], [3647, 8615], [2742, 6294], [8844, 11009], [8875, 10322], [1129, 6330], [977, 8188], [1316, 8408], [2400, 5776], [7513, 9977], [218, 9856], [5292, 7713], [3182, 9195], [8101, 10147], [216, 2613], [2014, 5740], [3106, 3723], [1213, 7906], [10017, 11051], [2388, 7644], [6531, 8375], [5882, 7929], [1605, 4754], [390, 7869], [1425, 9482], [3011, 3836], [4444, 6276], [3687, 6859], [770, 4303], [6463, 11065], [3815, 9488], [3228, 5756], [1258, 7275], [5267, 5562], [1421, 8959], [1478, 5329], [7639, 11405], [4714, 7076], [943, 1787], [3346, 7697], [8017, 10799], [6015, 7118], [5452, 7944], [2682, 4684], [4232, 10715], [3244, 6639], [1993, 7091], [508, 2209], [1652, 6798], [6411, 10501], [2343, 10853], [1681, 6038], [1304, 10252], [4609, 9884], [4832, 5203], [1028, 8102], [3361, 4191], [5749, 10567], [23, 8583], [5107, 7128], [2210, 9011], [2920, 10864], [5160, 10926], [8582, 11143], [3422, 5598], [800, 5242], [2536, 7491], [578, 6361], [3038, 8641], [7060, 11297], [7743, 10573], [3913, 8087], [6487, 11435], [3259, 7297], [3940, 9910], [3351, 10269], [946, 1280], [6344, 8094], [1604, 9359], [2904, 5793], [1816, 4519], [2186, 3298], [6169, 6780], [5171, 7678], [8887, 9096], [3056, 8816], [4496, 8263], [881, 3487], [1870, 10417], [2379, 6322], [3200, 5562], [11016, 11047], [904, 2158], [3555, 7416], [3620, 7811], [2958, 2996], [6292, 7530], [3269, 6830], [3264, 6486], [5017, 10594], [31, 8420], [86, 1711], [1208, 8985], [4972, 6687], [3144, 4849], [3235, 11383], [3261, 6188], [3145, 8457], [580, 2219], [3730, 9110], [2825, 6789], [3102, 5377], [4349, 10845], [4230, 9433], [8276, 10231], [613, 1578], [7920, 8906], [415, 7255], [22, 10936], [1409, 8867], [4101, 9962], [7671, 11585], [1133, 6717], [484, 8523], [1198, 7866], [2036, 8965], [4749, 8685], [7298, 9502], [4645, 7581], [8356, 8655], [2814, 8478], [1011, 5007], [9808, 11145], [4208, 7580], [355, 3390], [5148, 11585], [4954, 9090], [6511, 8341], [100, 5500], [2801, 10875], [1833, 7451], [312, 7076], [4942, 7171], [3013, 5281], [681, 7882], [2518, 4521], [1259, 1702], [4945, 10825], [1066, 1307], [5155, 5185], [1547, 1580], [1051, 10798], [6927, 10097], [8048, 10730], [1257, 4258], [911, 3621], [5926, 10697], [1033, 8714], [1757, 8745], [1931, 3448], [2068, 10327], [5428, 10420], [8377, 8727], [4645, 6776], [2336, 4665], [5365, 9317], [3922, 3937], [5852, 9435], [6447, 6612], [246, 7553], [1622, 9459], [1744, 10388], [1517, 4747], [9054, 11571], [675, 6912], [4143, 8228], [3505, 7971], [5564, 9153], [9428, 10469], [899, 10003], [6912, 11263], [467, 3176], [6845, 10041], [1898, 11205], [9665, 10412], [993, 2468], [5430, 10092], [8076, 10842], [268, 2966], [4870, 8183], [1847, 7483], [6184, 11463], [1349, 9458], [2479, 7925], [6018, 9481], [350, 10885], [107, 11127], [5260, 7587], [1717, 10793], [1966, 5081], [5722, 9338], [6611, 6962], [6139, 7906], [1839, 6437], [6690, 8194], [129, 8792], [714, 5281], [3413, 7577], [6905, 7035], [1329, 1612], [8173, 9970], [10112, 10296], [497, 10881], [301, 6805], [6185, 10129], [5306, 6777], [2849, 8932], [915, 1780], [44, 9623], [7117, 8611], [6642, 11536], [1979, 8295], [893, 7848], [7359, 8144], [6727, 6921], [2341, 6432], [2721, 6653], [3435, 5242], [603, 1858], [289, 9804], [7290, 9478], [2312, 11329], [567, 4830], [7031, 10715], [6687, 10905], [4476, 5919], [7445, 9766], [7373, 8200], [7779, 8888], [585, 5409], [3145, 4887], [2479, 2582], [3380, 7413], [1048, 10014], [2302, 10991], [6091, 7060], [3360, 10144], [4881, 10519], [2453, 4744], [10042, 11004], [2984, 10796], [2700, 4621], [4525, 5407], [3036, 10205], [801, 4071], [3709, 6541], [3533, 11011], [4366, 4596], [6619, 9781], [3503, 5884], [4184, 8497], [5082, 10401], [2532, 2943], [9068, 10394], [3434, 11382], [5208, 5787], [2271, 4107], [99, 8875], [4419, 8744], [4207, 10551], [3770, 10550], [2497, 3107], [2142, 11052], [117, 2284], [2641, 6269], [1204, 10503], [366, 2988], [8624, 9572], [765, 7423], [7616, 9782], [7149, 11070], [272, 3326], [2264, 3286], [2763, 4919], [2668, 7311], [173, 6730], [3409, 8477], [24, 6607], [888, 2511], [2562, 3882], [6575, 8704], [2129, 4000], [749, 8768], [2598, 9174], [1308, 4036], [1073, 11309], [2248, 2379], [3393, 3406], [1899, 7860], [557, 8948], [3112, 8082], [4853, 6511], [1993, 10905], [8526, 9013], [931, 10852], [4238, 4895], [626, 10216], [468, 3214], [4482, 5255], [3040, 4981], [1142, 2404], [4374, 7415], [2946, 3067], [3202, 7194], [6113, 9181], [3255, 3822], [3444, 6727], [9388, 10856], [5393, 10023], [3872, 9648], [1752, 10442], [7820, 9911], [476, 9117], [2635, 7497], [2064, 8462], [223, 8671], [10126, 10970], [2370, 6290], [9040, 10523], [191, 9887], [9717, 9984], [1307, 6012], [9307, 11052], [8281, 10656], [5361, 10835], [5038, 5486], [9549, 11339], [9426, 10185], [6310, 8540], [2743, 4936], [739, 3461], [3722, 11178], [613, 5042], [747, 1070], [2325, 9149], [6528, 7679], [10519, 11022], [6963, 7607], [3141, 11398], [4349, 4860], [1761, 9750], [5257, 6698], [1176, 6845], [2487, 10608], [2482, 3848], [7764, 8824], [6090, 7453], [3875, 11393], [5315, 10840], [2068, 8180], [2104, 3673], [4213, 11388], [3667, 7657], [2815, 8380], [6979, 8490], [4897, 8233], [437, 5351], [965, 7722], [7436, 8362], [96, 5058], [4010, 10655], [3146, 8335], [340, 6172], [6475, 6863], [9809, 11397], [1456, 8713], [9057, 10072], [4601, 4680], [9093, 9729], [9838, 10637], [3986, 9480], [1890, 8416], [5312, 9387], [1544, 7779], [5343, 8700], [3203, 5055], [3886, 9249], [584, 9134], [7805, 10272], [2731, 5999], [675, 2082], [2873, 8334], [3002, 4018], [385, 8924], [3776, 7576], [2943, 7575], [600, 2847], [4366, 7792], [1246, 7159], [6698, 10826], [126, 712], [4363, 7494], [5134, 7371], [3838, 4640], [5913, 6355], [2052, 8720], [6506, 7623], [1712, 5619], [5855, 6350], [5882, 8173], [2735, 5717], [1962, 9177], [6532, 9975], [2358, 3515], [7127, 7152], [8118, 10745], [4042, 5574], [1241, 7165], [1545, 3412], [4716, 4764], [1262, 11425], [1513, 2376], [2807, 3526], [4929, 9194], [4958, 7680], [4175, 7042], [1697, 7566], [5277, 9877], [7347, 11248], [6705, 7809], [2312, 6149], [3524, 9152], [1719, 9018], [248, 1590], [3585, 10559], [810, 2791], [2981, 11384], [7158, 10945], [8395, 9309], [8744, 10217], [3111, 3506], [2744, 8408], [4508, 6289], [8212, 10356], [3759, 10897], [1240, 5004], [8855, 10987], [82, 2991], [6809, 7758], [1086, 4537], [1148, 6169], [7808, 9714], [2135, 10020], [2078, 9486], [2882, 10974], [2101, 3993], [5277, 5689], [4998, 6274], [2223, 3424], [1042, 5369], [2907, 5554], [5945, 7316], [3775, 8747], [1189, 1632], [8820, 11501], [4357, 8348], [3789, 9584], [6872, 10335], [3520, 10857], [7964, 8318], [3149, 5437], [5656, 7563], [6058, 11515], [89, 9773], [1262, 6432], [4935, 11186], [2917, 3589], [924, 9820], [3845, 6079], [6245, 8308], [297, 2525], [5553, 6280], [5062, 9426], [1939, 2860], [9884, 10445], [2869, 8429], [5080, 7753], [1821, 4302], [1434, 7074], [3058, 9082], [9844, 11046], [3278, 7136], [4214, 4606], [1095, 1192], [498, 3188], [5292, 8575], [7661, 10737], [4727, 9328], [3674, 4103], [4205, 10155], [6476, 9530], [9496, 9932], [1449, 4322], [5695, 5932], [4910, 8631], [3007, 7962], [1639, 7829], [4528, 6085], [8230, 9325], [330, 10528], [1827, 4093], [299, 2547], [1471, 2768], [163, 5692], [3747, 8903], [4624, 9176], [1098, 10107], [3211, 8142], [1753, 5083], [5977, 10906], [9282, 11292], [4323, 10941], [6315, 10901], [1894, 7947], [4333, 8596], [2458, 3559], [5293, 11378], [2705, 9852], [742, 1962], [6939, 10701], [776, 7962], [4035, 4997], [707, 9323], [7035, 10409], [3389, 10484], [4659, 7076], [3394, 10828], [3201, 10433], [5961, 6589], [6991, 10110], [587, 8440], [1232, 11396], [5621, 9150], [1915, 8420], [5841, 11368], [2657, 3395], [855, 2778], [1472, 7850], [1289, 8897], [9442, 10769], [9254, 11472], [2804, 3041], [3125, 5311], [3860, 5531], [1712, 4277], [3253, 10192], [8284, 11385], [8501, 9922], [1443, 3298], [940, 11345], [3516, 4186], [2091, 10689], [2961, 9791], [6189, 7513], [9521, 9722], [8960, 11375], [340, 10791], [3301, 4197], [5104, 7668], [9543, 11201], [1241, 9206], [8061, 10000], [10022, 10647], [1576, 11182], [2644, 11023], [4041, 7390], [3353, 3606], [1455, 6691], [6246, 8397], [5408, 7298], [7371, 8772], [8138, 11159], [1827, 5516], [3561, 6938], [3124, 6937], [6121, 6416], [3377, 5131], [11062, 11099], [2442, 4099], [1225, 10551], [2978, 4079], [65, 6957], [8077, 10102], [5075, 8027], [6566, 9691], [9998, 11350], [2646, 10695], [3675, 4946], [1622, 11126], [3857, 10090], [1304, 6121], [8380, 11042], [6143, 11251], [1649, 8785], [3793, 6133], [5632, 5851], [4696, 8381], [3140, 11203], [3510, 3566], [934, 3555], [3236, 4495], [1646, 2071], [1262, 9278], [9217, 11135], [530, 9329], [2354, 7261], [4467, 5296], [4688, 10368], [731, 2445], [2017, 7841], [7454, 9722], [3295, 8458], [9570, 11438], [1576, 7344], [762, 11557], [4155, 6872], [8802, 9580], [3033, 4516], [5967, 11560], [386, 5793], [516, 11501], [7419, 7634], [6478, 9820], [2679, 8899], [4623, 6159], [7045, 11365], [2274, 11065], [6577, 9799], [7387, 8850], [6236, 7254], [969, 11254], [5568, 10538], [5891, 9471], [2180, 4233], [3544, 11040], [6878, 9912], [5811, 6509], [5656, 9604], [3634, 10933], [4358, 4548], [1584, 4552], [240, 4813], [2136, 5065], [5349, 11524], [7966, 11536], [4291, 6709], [6777, 9456], [2388, 5286], [4354, 10441], [6558, 8594], [7454, 8917], [2072, 4491], [3224, 8941], [1137, 9875], [2073, 7345], [8736, 10407], [4865, 7920], [1968, 3387], [197, 8499], [4555, 6940], [2194, 8803], [189, 7857], [934, 1595], [1278, 2159], [5708, 6330], [1164, 4501], [2654, 3311], [2401, 5871], [7475, 10144], [6599, 10473], [2115, 3033], [4544, 5246], [10211, 10787], [2329, 6934], [1556, 11148], [4548, 6119], [2924, 8275], [2953, 3351], [7151, 7953], [4384, 11380], [2760, 2956], [8637, 10027], [607, 5522], [4094, 4636], [2602, 5753], [2227, 3624], [4716, 10806], [275, 6446], [4399, 8655], [2128, 2864], [2346, 10671], [918, 7077], [9950, 10049], [5642, 6807], [6767, 11346], [3806, 5108], [2006, 5318], [7510, 9175], [5674, 9728], [5551, 8574], [7132, 9000], [222, 3028], [3174, 7268], [1935, 9989], [5381, 9102], [3263, 10723], [1000, 8957], [6664, 10817], [537, 7735], [6698, 9647], [2150, 4666], [7005, 7323], [1766, 7709], [675, 6164], [685, 6852], [3018, 7105], [549, 7745], [4814, 9405], [965, 2705], [4912, 10694], [8303, 10100], [5092, 9349], [6618, 10068], [635, 5984], [53, 344], [6768, 10012], [5985, 10505], [3583, 8203], [3177, 6761], [4518, 5448], [3076, 3676], [2869, 5827], [3335, 11484], [7213, 10254], [6719, 9719], [6186, 7004], [10270, 10538], [5597, 6609], [7501, 10886], [2136, 5683], [2664, 8054], [1489, 1900], [8204, 11568], [4668, 9529], [1206, 11411], [1977, 4872], [5810, 11039], [2257, 7141], [1140, 6627], [2224, 11165], [5623, 8180], [5595, 6132], [1070, 9271], [6427, 8914], [1383, 10899], [5022, 9653], [2713, 7542], [2747, 7126], [7439, 8853], [9068, 10451], [10344, 10995], [9217, 9793], [7696, 9418], [3486, 7465], [2154, 2825], [4415, 7928], [2028, 10822], [3086, 9975], [1742, 10236], [71, 6884], [5785, 11517], [9463, 10199], [3549, 8164], [927, 1392], [1481, 2732], [307, 6602], [2669, 7593], [2913, 7953], [1481, 6115], [3227, 9052], [2322, 6731], [8516, 8783], [4223, 11491], [165, 2762], [5336, 10351], [5649, 8596], [7419, 9675], [1254, 3857], [9528, 10974], [5123, 6271], [6976, 9105], [339, 4231], [1438, 9801], [7076, 9686], [6670, 8998], [3055, 10638], [3487, 6131], [3702, 8005], [2867, 10587], [873, 4138], [8006, 9593], [8023, 10728], [3334, 7020], [5725, 6497], [1205, 9980], [5750, 8247], [521, 6315], [2207, 9201], [7967, 10769], [5870, 6097], [4011, 9110], [21, 5211], [9771, 10678], [2694, 7784], [4972, 8330], [3917, 9448], [2348, 11311], [555, 8528], [8490, 9009], [5710, 5815], [1068, 3451], [4220, 7005], [1500, 3108], [6233, 7842], [1229, 2056], [1163, 3688], [2592, 10890], [3867, 8580], [376, 5560], [5828, 6975], [2875, 11178], [6411, 6801], [10084, 10801], [934, 7019], [230, 2702], [2706, 4761], [4550, 8987], [1866, 7753], [8065, 10149], [4789, 11255], [10143, 11381], [6129, 7088], [1745, 3262], [3608, 6784], [3047, 8437], [8067, 10195], [6097, 7550], [2931, 4290], [2327, 9279], [149, 269], [4789, 8222], [4730, 11025], [4138, 6949], [8835, 9020], [6120, 6221], [329, 8723], [3414, 3885], [2378, 9217], [1357, 2749], [10966, 11017], [8036, 10508], [2186, 6014], [2561, 5137], [2822, 9608], [4061, 5389], [6208, 8670], [5050, 5903], [4924, 9736], [2897, 10721], [636, 3366], [1694, 2519], [7078, 11155], [509, 7728], [530, 2189], [2902, 8032], [1775, 6830], [1336, 10166], [1250, 8894], [3368, 7273], [2053, 6774], [3264, 6169], [275, 10715], [1092, 10937], [1137, 3540], [7566, 11094], [2549, 7355], [1239, 7200], [178, 7749], [6430, 9779], [8727, 10375], [270, 10721], [661, 3961], [1328, 3458], [2787, 7119], [8351, 11027], [794, 2770], [2777, 11312], [6509, 11011], [4217, 4343], [413, 3078], [757, 7806], [3522, 3552], [10834, 11224], [1128, 5275], [3634, 7176], [3857, 8911], [1149, 3119], [4411, 10251], [6534, 9728], [395, 5131], [10926, 11163], [2387, 11507], [8185, 9395], [3142, 10851], [186, 4203], [277, 10737], [2677, 8048], [347, 11476], [7374, 10119], [2011, 5743], [4626, 11344], [9056, 9099], [6597, 10427], [1802, 5569], [766, 10147], [1958, 6082], [456, 2751], [1380, 5876], [9628, 11018], [3635, 11134], [5800, 8578], [6703, 10072], [2104, 2120], [5247, 7840], [970, 3911], [3872, 7290], [3619, 9096], [66, 5198], [157, 4562], [2053, 4814], [375, 5953], [2462, 2767], [4677, 5216], [4362, 10308], [9081, 9694], [2768, 10394], [3143, 9517], [7054, 10679], [2768, 3978], [8843, 11034], [1270, 10188], [4916, 8615], [872, 7109], [1571, 4666], [6092, 11207], [9418, 9464], [4688, 5001], [1166, 6832], [9144, 11147], [5099, 6787], [2506, 4917], [9290, 10218], [574, 2756], [1852, 4127], [644, 1997], [7123, 8914], [2723, 6837], [6093, 11028], [4252, 8985], [5150, 10135], [1685, 1920], [5153, 10406], [6199, 11454], [1379, 8229], [6235, 10330], [7197, 7523], [2240, 10251], [1565, 10836], [2496, 7962], [1126, 7002], [4321, 8748], [1771, 10712], [7313, 8637], [692, 4266], [4948, 8846], [674, 9352], [858, 4743], [5916, 9237], [3667, 7177], [8483, 11414], [274, 5446], [3195, 8121], [55, 3830], [53, 3003], [9540, 10342], [5524, 10884], [5689, 6979], [2884, 7670], [4866, 6188], [5120, 10242], [7463, 11183], [457, 11165], [1723, 10267], [9161, 10696], [8851, 9716], [6482, 7554], [1321, 10452], [469, 11175], [1807, 6181], [7013, 10573], [4580, 6706], [2144, 2568], [1617, 10221], [908, 4806], [7532, 8694], [1054, 11047], [3294, 11109], [1838, 11129], [2554, 4129], [159, 2998], [8503, 8602], [2701, 6808], [1770, 9682], [497, 2993], [151, 6520], [4354, 7302], [4631, 5890], [4352, 6475], [4283, 8590], [5809, 10063], [704, 9887], [8462, 9732], [2605, 10483], [5835, 9032], [9694, 10004], [263, 5980], [1302, 5083], [175, 3881], [3253, 4288], [2101, 5473], [2970, 5885], [2911, 4524], [941, 6043], [3964, 7497], [4715, 5187], [6982, 7072], [3090, 3708], [65, 5591], [373, 3492], [3678, 3878], [10214, 11329], [138, 10765], [1095, 6860], [7626, 10557], [1058, 7732], [5101, 11265], [130, 10123], [5388, 8289], [6446, 6688], [6157, 6585], [343, 4754], [3977, 7328], [1112, 7214], [6103, 10486], [2142, 4319], [825, 7157], [184, 7326], [2441, 8523], [4151, 8770], [2274, 6316], [10561, 11386], [6850, 10312], [1838, 2753], [1313, 4063], [9196, 11524], [1061, 9477], [1040, 8600], [2155, 8287], [2248, 8478], [4263, 5978], [9336, 10780], [6533, 11544], [3140, 5649], [4568, 9997], [2044, 3760], [2608, 5788], [2700, 8760], [1647, 3535], [5931, 10163], [2634, 10392], [960, 2605], [3816, 11301], [213, 1624], [1851, 6748], [5899, 11379], [3719, 4952], [7206, 10482], [2328, 10285], [9878, 10201], [5150, 6565], [1144, 8549], [6798, 8967], [363, 1568], [485, 9667], [10190, 11227], [6637, 11493], [2595, 5152], [4954, 6626], [3971, 9310], [3522, 11204], [7543, 11006], [1065, 2779], [4210, 4408], [1625, 7317], [3956, 4491], [65, 3981], [347, 2913], [8399, 8897], [2810, 8874], [5007, 5856], [8179, 10062], [1209, 5537], [2575, 2591], [1582, 4587], [4885, 7556], [4938, 11354], [2978, 9397], [1245, 11583], [2983, 7489], [10787, 11459], [2532, 2894], [949, 1641], [9503, 10273], [6979, 11206], [614, 10962], [3128, 3679], [9315, 10976], [8568, 9241], [8547, 9118], [4366, 4897], [1594, 7980], [785, 5367], [5852, 6971], [1225, 3387], [37, 11331], [11029, 11342], [7189, 8168], [2956, 10927], [3744, 6247], [3245, 4614], [2185, 2382], [4291, 6416], [7035, 7701], [435, 9125], [5505, 9492], [4760, 5174], [5917, 7716], [3732, 8115], [7818, 8312], [5511, 7028], [179, 4217], [5820, 7783], [3038, 10178], [1799, 2319], [2413, 3710], [860, 3797], [6147, 9117], [8692, 10946], [825, 8125], [541, 1950], [4708, 7993], [1592, 4096], [6335, 9518], [8384, 10012], [838, 1944], [4542, 6011], [1369, 7996], [6847, 10632], [804, 5743], [4200, 5493], [844, 8525], [9426, 11291], [1310, 1350], [6315, 7738], [3944, 11165], [1580, 2931], [5974, 7445], [3665, 5334], [1117, 1709], [1020, 1776], [182, 677], [116, 2309], [5683, 9898], [3164, 4759], [2529, 4019], [882, 10887], [1291, 5430], [3942, 10688], [5336, 9790], [112, 8202], [3025, 11016], [5590, 10838], [2311, 6011], [6079, 7619], [7763, 9678], [798, 5497], [1937, 9742], [7632, 10161], [1510, 7423], [6855, 10469], [3592, 10282], [1656, 10631], [2831, 10369], [2858, 6530], [1079, 1201], [6374, 10546], [3022, 11068], [7933, 10624], [8714, 11189], [5094, 6069], [1475, 7967], [4312, 5279], [2875, 3851], [9887, 11231], [6050, 7574], [4811, 6131], [1043, 4523], [919, 9183], [234, 9080], [4056, 4535], [3116, 3913], [4639, 10750], [5009, 9529], [2586, 10514], [6672, 10711], [5268, 10921], [1617, 10652], [7198, 10003], [2232, 8481], [7374, 11168], [5378, 8056], [1087, 4421], [61, 10441], [3005, 8404], [3395, 8559], [6150, 10787], [3047, 11259], [1755, 6048], [6746, 8566], [8086, 10815], [4149, 9960], [1973, 10822], [1013, 2378], [8604, 9465], [7234, 8505], [233, 4667], [6451, 7867], [3519, 6531], [223, 946], [1248, 10539], [3523, 10033], [2391, 8487], [676, 10498], [674, 8173], [4872, 8611], [3101, 7307], [554, 6536], [1352, 10488], [3038, 6958], [4180, 4304], [3254, 5270], [661, 9816], [5800, 8822], [1851, 1918], [1909, 8312], [5983, 11158], [3648, 7826], [9814, 10082], [349, 11392], [4523, 8026], [4707, 9833], [7511, 9671], [3144, 9232], [9214, 9528], [6662, 8413], [4382, 4788], [7377, 10610], [2234, 9950], [2337, 11583], [3483, 5665], [6189, 11384], [4878, 7621], [2230, 6044], [395, 1537], [2256, 8396], [5972, 9814], [2443, 10474], [1570, 4658], [4407, 6888], [3252, 10054], [8916, 11160], [6146, 8654], [4427, 9792], [5390, 9839], [4552, 8740], [6890, 9337], [1311, 9278], [5366, 8664], [8253, 9503], [5481, 6170], [6436, 7854], [3767, 7652], [3894, 7427], [3234, 8320], [801, 10869], [3012, 10193], [3782, 5681], [1731, 2108], [5466, 7740], [2725, 2966], [1171, 6615], [5988, 9542], [47, 3432], [1439, 1707], [1700, 6178], [84, 8195], [459, 8072], [10528, 10848], [6796, 8897], [5118, 10790], [1723, 7478], [3514, 10188], [1895, 2108], [527, 1975], [9644, 10535], [8589, 10899], [6311, 11484], [1013, 1841], [9517, 11110], [386, 5126], [2794, 7216], [5872, 7623], [4346, 6904], [545, 2904], [737, 9490], [78, 10608], [1384, 6857], [5556, 6828], [8828, 10484], [5426, 10919], [5615, 7408], [8359, 8693], [850, 3890], [3212, 4881], [540, 2910], [9662, 11060], [2494, 6550], [2499, 6894], [377, 4609], [4984, 10170], [2671, 11323], [2672, 7761], [461, 6939], [5001, 10524], [1054, 7453], [1386, 5748], [372, 6867], [890, 8550], [9668, 10474], [5688, 10673], [1756, 7910], [3289, 4138], [3596, 4066], [3620, 8624], [1944, 11344], [387, 4142], [6508, 7409], [3612, 7982], [2361, 2772], [6985, 10192], [4209, 9369], [2275, 6381], [2084, 9819], [3543, 7064], [905, 6175], [55, 7725], [2434, 11329], [4046, 4652], [770, 9922], [801, 5071], [2970, 4169], [5184, 9426], [6653, 9611], [7775, 10469], [3749, 3907], [7245, 7271], [736, 1643], [584, 10671], [2757, 6505], [264, 1833], [6399, 9694], [6053, 9057], [1178, 7623], [6524, 7888], [2697, 5673], [5584, 9518], [1482, 8788], [3070, 3969], [103, 3578], [1937, 2952], [1436, 4656], [5615, 5798], [3094, 5494], [4424, 7055], [10860, 10892], [1832, 8039], [4387, 7173], [190, 9589], [6845, 8626], [3427, 8528], [581, 2048], [5873, 6214], [215, 8306], [7921, 8735], [2764, 9123], [5219, 10305], [5281, 5521], [3032, 3461], [3276, 3821], [390, 10000], [1723, 10324], [754, 10462], [1783, 4713], [162, 6386], [2316, 5176], [1096, 7947], [3675, 7475], [2057, 6413], [5983, 9361], [4672, 5598], [1343, 1408], [7545, 9737], [2621, 2779], [6633, 10409], [4357, 10690], [4088, 6301], [616, 7495], [3864, 4341], [3273, 10289], [2364, 10478], [5633, 8201], [86, 7680], [1777, 10910], [1493, 11151], [9265, 10702], [2106, 9688], [3513, 6743], [6317, 8833], [7184, 8418], [2131, 5022], [2793, 3421], [861, 1260], [3543, 8837], [7400, 8982], [924, 5746], [927, 5263], [5898, 6405], [889, 2527], [4177, 5218], [3352, 8488], [314, 340], [4458, 10341], [4339, 8929], [4955, 11147], [1691, 7352], [232, 1439], [1078, 2399], [407, 6166], [5523, 7632], [6987, 7473], [4888, 6892], [3639, 4007], [3612, 5567], [4790, 8986], [3305, 8268], [9776, 11160], [1368, 2353], [1586, 3744], [1651, 8303], [2776, 8678], [1022, 10761], [3104, 7231], [6304, 10075], [1209, 10587], [3009, 3961], [3704, 5506], [3506, 4767], [6871, 9368], [245, 4653], [10508, 11459], [1418, 8482], [2350, 8462], [1538, 6332], [4901, 10106], [4443, 9228], [448, 1979], [4775, 5271], [611, 10079], [5021, 8710], [3033, 9623], [3650, 10531], [4278, 7848], [5419, 8756], [5680, 6811], [4276, 7021], [9873, 11069], [9718, 10000], [4608, 9480], [999, 3021], [6503, 6878], [5635, 7068], [8033, 8470], [2346, 11322], [3863, 8545], [7027, 8726], [6505, 9553], [3296, 3967], [2733, 11209], [6503, 7228], [5563, 8104], [88, 9149], [3541, 9433], [1041, 1338], [5223, 8413], [2035, 9366], [1039, 1265], [3377, 5245], [5001, 6499], [1627, 11234], [6613, 6992], [7547, 7799], [818, 2205], [3803, 7339], [320, 1928], [4621, 10415], [1989, 2955], [4399, 5118], [9533, 10196], [541, 7000], [787, 4023], [1537, 5275], [1681, 2021], [5323, 10872], [7157, 10246], [10763, 10772], [6810, 9384], [1151, 2206], [4038, 6051], [2024, 11405], [3471, 7135], [8801, 9873], [391, 5901], [5714, 10878], [6550, 11150], [9352, 10161], [4746, 8208], [3262, 6180], [2875, 9706], [299, 9695], [786, 3397], [4782, 7084], [5549, 9471], [62, 5968], [1676, 7288], [903, 10748], [3728, 7299], [718, 10968], [146, 1882], [4318, 7515], [9760, 10494], [1544, 7519], [337, 8243], [676, 1293], [6343, 6834], [1883, 3952], [231, 10476], [4522, 7695], [8224, 8683], [287, 7375], [4184, 4667], [6885, 10042], [2192, 8090], [254, 8366], [3580, 6623], [536, 5046], [441, 8192], [2862, 4128], [224, 10409], [2545, 8393], [530, 7483], [1239, 5728], [4291, 5668], [8745, 10233], [187, 4111], [206, 8325], [2267, 6170], [3917, 9399], [8810, 9130], [159, 2063], [5601, 9206], [3264, 5047], [8429, 9438], [9043, 10829], [1135, 11390], [230, 2653], [979, 1428], [4970, 11187], [201, 1134], [2035, 3918], [572, 2767], [2437, 7870], [3407, 10586], [845, 8783], [6478, 8324], [617, 5169], [374, 6165], [1592, 6731], [1181, 1535], [1805, 7778], [8616, 11492], [2508, 8460], [1859, 8014], [2010, 8183], [2137, 9456], [545, 3953], [7580, 8873], [4466, 6557], [4001, 10170], [5133, 5300], [6052, 11491], [3816, 8138], [3528, 10889], [3652, 6983], [6728, 7317], [267, 5113], [1139, 11458], [2882, 10714], [3431, 5294], [4578, 7148], [533, 2788], [3423, 10314], [8592, 9162], [5106, 6486], [66, 1043], [4042, 9770], [954, 1505], [3575, 10304], [4012, 11059], [1274, 6556], [3043, 4781], [3796, 9714], [275, 1567], [8389, 10681], [5868, 8125], [7836, 9943], [758, 4195], [6764, 9202], [3870, 4186], [3725, 7969], [1875, 10344], [734, 9436], [1684, 4360], [7081, 8320], [603, 4257], [7633, 8833], [1186, 6335], [5766, 7067], [9845, 11011], [2221, 7948], [196, 5596], [4855, 4931], [495, 5663], [4142, 9196], [5919, 11446], [413, 6762], [1244, 6690], [5783, 8175], [1581, 3077], [2184, 11449], [7584, 7786], [4669, 8309], [7179, 9952], [6403, 7479], [10699, 11458], [4340, 8807], [1764, 9550], [8610, 11565], [8486, 9809], [1134, 9154], [2653, 6450], [1753, 4473], [853, 6660], [2071, 3062], [825, 11028], [478, 1121], [7363, 9480], [2509, 6671], [7669, 10718], [3536, 4259], [5339, 7730], [5399, 7781], [5891, 8243], [8036, 9199], [1124, 11068], [1835, 3724], [3954, 11373], [353, 2523], [1657, 11531], [2410, 9294], [4461, 10615], [605, 9160], [8597, 10929], [9084, 10293], [7596, 11529], [931, 1224], [278, 3288], [2239, 10351], [10759, 11485], [4940, 9310], [7400, 10836], [934, 8288], [3350, 10296], [2194, 4192], [6587, 9235], [546, 7425], [5434, 6812], [1136, 5012], [4773, 7103], [5375, 5451], [7042, 9815], [3685, 9993], [1453, 3376], [5737, 10004], [7547, 8230], [2726, 4403], [702, 4905], [1822, 9100], [1533, 4833], [1909, 7564], [8848, 10524], [10131, 11485], [4995, 6334], [2058, 11070], [1929, 8216], [3173, 10757], [5948, 11355], [662, 8889], [3453, 6610], [4826, 4835], [935, 10741], [9529, 10104], [7841, 10555], [6817, 10986], [2512, 5763], [963, 9756], [8117, 9672], [1307, 3150], [6863, 7197], [3177, 7843], [3753, 6498], [2113, 4711], [4592, 4789], [4215, 9003], [3044, 5220], [2817, 5995], [2500, 3844], [423, 6220], [8659, 9847], [6487, 8199], [472, 1194], [1315, 2637], [7388, 8866], [7379, 11032], [1381, 4388], [3673, 4640], [63, 6624], [4916, 6956], [814, 2062], [1368, 9818], [3321, 3434], [98, 6056], [6254, 7624], [844, 9818], [1749, 5723], [4705, 5201], [961, 11157], [8995, 9365], [9148, 9607], [4850, 5555], [4629, 9528], [2017, 10614], [4469, 8115], [4653, 7670], [427, 5184], [3355, 9030], [3042, 4369], [10191, 11111], [4260, 7941], [2701, 4076], [3472, 3953], [6302, 7264], [8764, 9617], [10159, 11573], [3442, 5242], [5085, 7300], [1764, 7135], [7423, 7897], [288, 1615], [1729, 10332], [512, 10368], [1035, 5979], [7979, 9283], [1338, 3536], [5181, 10391], [562, 3315], [1996, 5199], [7880, 8523], [315, 405], [657, 9968], [2646, 6247], [2214, 4338], [1775, 2756], [3738, 4230], [10928, 10973], [3022, 8978], [4918, 8476], [3770, 7151], [2366, 7361], [124, 6472], [181, 7006], [9709, 10182], [10542, 10937], [877, 4989], [7594, 9068], [3824, 6633], [7807, 10115], [2017, 6426], [1210, 4640], [2961, 7921], [6377, 8323], [4715, 10749], [8553, 10844], [6306, 9611], [1358, 1505], [430, 4650], [2701, 3271], [10596, 11523], [8318, 10977], [3841, 4708], [1131, 1499], [2125, 9527], [2312, 9353], [787, 11488], [3576, 6130], [387, 7582], [8847, 10917], [9435, 11087], [5288, 7204], [4830, 5572], [2994, 6125], [4957, 7599], [5033, 5931], [1836, 3358], [4074, 6757], [748, 2084], [5748, 8128], [926, 4076], [1433, 5570], [4597, 5751], [3074, 10965], [51, 7259], [579, 9630], [4404, 5356], [1506, 10020], [7154, 10593], [4931, 8256], [4463, 5936], [101, 4343], [5056, 10587], [2649, 11351], [665, 9754], [3399, 6187], [5479, 8246], [2308, 4642], [2110, 4657], [6786, 8103], [10034, 11365], [1471, 11315], [4580, 7625], [8623, 11158], [8652, 9644], [3301, 6783], [5536, 5747], [3736, 5957], [8125, 10127], [1399, 8968], [1963, 10996], [430, 9106], [1542, 2106], [153, 4102], [1116, 3395], [8762, 10189], [4964, 6460], [4534, 10259], [1074, 6552], [1905, 6480], [545, 6962], [5863, 7431], [5894, 6744], [768, 8697], [534, 8301], [4343, 10664], [8968, 10415], [1437, 4133], [2304, 10134], [7164, 7473], [1067, 5731], [1146, 10750], [835, 5381], [776, 8938], [7581, 8700], [1464, 6306], [4222, 8051], [5435, 8273], [3640, 8827], [2697, 10186], [484, 7783], [2574, 9032], [2326, 4766], [4719, 11486], [1517, 6317], [7176, 7833], [1538, 4161], [540, 5813], [3468, 9659], [1782, 6773], [9101, 9200], [6305, 7725], [9908, 10986], [293, 9319], [1685, 6840], [105, 11520], [9028, 10415], [4955, 8171], [373, 10022], [4048, 9187], [880, 11516], [118, 9503], [368, 2481], [6400, 6457], [3044, 9489], [6435, 8895], [2923, 11414], [3888, 7370], [2391, 11553], [3730, 4532], [762, 9955], [3200, 7750], [832, 8442], [980, 11346], [5066, 5127], [6525, 8788], [3223, 8673], [5287, 10199], [5050, 10286], [2942, 6179], [1476, 5511], [5519, 9044], [8581, 9672], [4092, 8304], [2841, 8756], [6235, 7679], [2563, 6533], [8437, 9169], [2191, 11091], [1531, 5568], [282, 3437], [9118, 9503], [1036, 4808], [30, 183], [2356, 5681], [898, 4874], [5447, 11211], [363, 1332], [5184, 5913], [2768, 3905], [6945, 9882], [25, 5474], [5821, 6699], [9582, 11300], [492, 7569], [6059, 8742], [4968, 7197], [6155, 9204], [3347, 9624], [4539, 11221], [10014, 10176], [6055, 11252], [164, 4505], [2142, 7011], [296, 6876], [3214, 10034], [3845, 6868], [3998, 7864], [3724, 8793], [1713, 3895], [1561, 6507], [5802, 8527], [728, 9916], [7667, 8712], [3803, 10779], [3144, 4727], [5878, 6078], [494, 825], [2771, 9814], [255, 10608], [7440, 9837], [998, 7683], [153, 10331], [1806, 10071], [3287, 7637], [1880, 1914], [1616, 3531], [1260, 8622], [184, 8863], [950, 7642], [5874, 8938], [3883, 5416], [1606, 6226], [1888, 5158], [7268, 11423], [4395, 7284], [2342, 2884], [5053, 8193], [37, 1646], [4980, 7156], [2414, 7833], [3529, 7520], [6330, 10093], [5580, 8841], [7223, 10899], [9348, 10449], [3959, 6350], [4959, 6279], [1199, 10948], [6785, 10673], [1238, 3736], [690, 3342], [9461, 10511], [2205, 6154], [956, 4023], [2148, 9784], [3617, 9969], [7399, 9031], [1867, 9542], [18, 3474], [828, 8941], [2550, 7320], [7711, 7805], [1057, 7458], [6346, 7189], [6401, 6896], [4689, 9959], [8980, 10588], [3130, 6094], [7087, 10607], [3231, 6900], [2161, 6232], [3563, 9359], [3602, 9287], [2377, 5298], [8734, 10532], [6991, 7866], [2189, 5247], [5265, 5581], [1637, 10369], [753, 6673], [4343, 9672], [159, 1770], [6454, 11044], [7132, 9976], [2130, 7269], [6108, 10407], [7660, 10095], [4981, 9205], [9900, 10157], [6486, 9047], [5076, 6059], [657, 9594], [4538, 8635], [1896, 3840], [5468, 6290], [2016, 2444], [123, 6627], [9708, 10337], [3827, 10694], [2983, 9026], [7145, 10561], [1615, 5483], [1512, 3850], [3700, 7886], [1052, 6309], [10011, 11277], [1700, 7284], [3035, 8435], [2037, 10087], [1263, 4277], [1316, 3911], [8191, 8576], [3158, 10720], [2074, 6936], [71, 8315], [16, 2192], [2741, 11371], [812, 9481], [6667, 7903], [6200, 9191], [2332, 3969], [778, 6864], [442, 1253], [2486, 7819], [2152, 2281], [1641, 8932], [4321, 6260], [804, 8435], [7156, 7663], [6123, 10260], [5441, 9674], [2851, 5823], [3778, 5459], [3530, 5357], [536, 3143], [469, 1921], [4150, 10700], [2555, 7932], [1008, 6336], [2188, 6418], [3981, 9201], [1221, 6629], [4364, 8185], [3115, 6054], [1064, 8897], [1279, 10771], [2116, 7481], [583, 5591], [8, 3374], [7413, 7827], [2143, 3642], [155, 6053], [5158, 5952], [615, 5479], [4410, 11162], [9415, 11134], [5239, 8011], [4505, 11399], [2669, 5536], [2622, 11382], [2505, 4381], [6199, 7006], [3439, 5188], [127, 10801], [1351, 8149], [1844, 5049], [7532, 11467], [1751, 2606], [8010, 8059], [6627, 9146], [2236, 8313], [6480, 9850], [1366, 8430], [6212, 7591], [5121, 6046], [2266, 7374], [7584, 7843], [5624, 10050], [2539, 8472], [734, 8338], [4409, 6749], [8767, 9354], [3390, 7524], [1081, 5413], [114, 6378], [7746, 9302], [3407, 10911], [5244, 7550], [8196, 9538], [5183, 9526], [2815, 3802], [7703, 9605], [538, 11028], [471, 3390], [1249, 2903], [497, 7994], [4291, 8571], [2985, 5152], [7093, 7582], [2342, 8658], [4639, 9254], [1929, 6045], [1614, 11137], [2273, 10773], [3020, 5338], [4322, 7103], [6311, 6792], [616, 6373], [2269, 6867], [2207, 5989], [987, 8760], [159, 8349], [3362, 7704], [2884, 5450], [3537, 6015], [4225, 10553], [4120, 5841], [5972, 9928], [7046, 7362], [5368, 8501], [5184, 6694], [4750, 9620], [8100, 9025], [2573, 9880], [1035, 7646], [362, 9058], [6635, 11211], [2789, 8192], [1194, 5424], [4058, 5313], [873, 6537], [6286, 8024], [4243, 4312], [3481, 8715], [2961, 6205], [7541, 7691], [5015, 7043], [3487, 5497], [8337, 8564], [7101, 10802], [3954, 7592], [3882, 6026], [745, 1252], [3472, 7848], [180, 8421], [8203, 8749], [1730, 11446], [400, 4223], [3920, 5729], [337, 9536], [6335, 10518], [5256, 10488], [886, 4116], [2498, 4609], [548, 1088], [396, 3700], [2629, 6755], [2159, 3608], [1042, 8012], [197, 9906], [6324, 6572], [3521, 3926], [7602, 7943], [4981, 10441], [8718, 10484], [1096, 1832], [9309, 10171], [8964, 10890], [6655, 8779], [3487, 4692], [1017, 5107], [365, 980], [2758, 7700], [2830, 3604], [9705, 10521], [7306, 10402], [4219, 11407], [2254, 9860], [3974, 11576], [2478, 5781], [6015, 11428], [659, 3305], [139, 5713], [1159, 1376], [2778, 3040], [3337, 6976], [2736, 9230], [6600, 11300], [5361, 9103], [2864, 7695], [1556, 1951], [342, 1504], [7377, 11342], [345, 5939], [307, 9619], [835, 4820], [4221, 10298], [6807, 10997], [179, 10373], [7144, 7384], [7343, 8725], [1111, 10353], [212, 8978], [3168, 8456], [1072, 8146], [1096, 6288], [1391, 9589], [3406, 4837], [1979, 9759], [8997, 11322], [7789, 9192], [1656, 7793], [2365, 6038], [9433, 11071], [3573, 5135], [3206, 10791], [2244, 4930], [8615, 10624], [871, 1043], [7094, 10249], [5791, 11265], [836, 8404], [3544, 3616], [1926, 9724], [9637, 11251], [2985, 5315], [2911, 9338], [829, 4200], [5376, 9710], [2379, 3061], [3659, 5259], [951, 8512], [5023, 11285], [8068, 9300], [6480, 7703], [7543, 11364], [1807, 3774], [3271, 7779], [1913, 4924], [7107, 7801], [727, 6525], [6974, 7457], [1600, 9308], [848, 7983], [9394, 10338], [8941, 9804], [7310, 10789], [935, 10611], [4352, 10484], [1, 382], [868, 2219], [333, 5847], [1518, 10437], [497, 3969], [2675, 6563], [7269, 7755], [7890, 10317], [4949, 5455], [672, 2280], [271, 1182], [9884, 10323], [2136, 9668], [4304, 7410], [4555, 4777], [2817, 5865], [1439, 8050], [857, 8826], [762, 5556], [3964, 8473], [1844, 8513], [2250, 3539], [2351, 4345], [875, 2235], [2366, 4653], [2407, 4654], [4391, 7005], [5574, 10768], [3774, 4562], [7667, 11534], [8035, 9486], [5454, 9885], [4043, 8924], [1113, 8415], [586, 8898], [4204, 7529], [1298, 7414], [3044, 3935], [655, 10166], [1770, 9853], [3908, 9638], [5002, 8448], [4245, 6025], [2846, 7333], [6762, 8839], [2574, 2673], [4645, 6898], [2193, 5233], [6391, 9835], [1823, 4202], [458, 10002], [1071, 2123], [3784, 4849], [5766, 9783], [7449, 8988], [6418, 8248], [170, 675], [8387, 10668], [2582, 5193], [1563, 5968], [1411, 8580], [5263, 6129], [3277, 10121], [6787, 10185], [5269, 10081], [1155, 7836], [7869, 10863], [5814, 10554], [10106, 10627], [3384, 3952], [2319, 3628], [1608, 4556], [2568, 6584], [6028, 8039], [4350, 9932], [1325, 5399], [2820, 5307], [2192, 4203], [4671, 10697], [901, 1846], [498, 11255], [257, 8160], [312, 8621], [3308, 4465], [7972, 10560], [1892, 3160], [2652, 9264], [5320, 11493], [4391, 8778], [6569, 7208], [867, 3366], [2864, 10086], [10796, 11050], [335, 9921], [7442, 10745], [8762, 10864], [5589, 7187], [1581, 5338], [7207, 10878], [3507, 7684], [8639, 8929], [979, 10373], [1753, 9767], [3494, 5944], [378, 9217], [4003, 8265], [223, 5142], [4653, 9313], [916, 10024], [1499, 5686], [7667, 8769], [2226, 9398], [41, 2627], [3993, 10960], [7566, 11346], [1253, 5630], [7158, 9831], [2097, 9927], [4430, 10180], [3456, 9974], [3822, 5601], [5187, 11098], [7590, 9838], [9923, 10091], [632, 2694], [3420, 10667], [3728, 8568], [3563, 3805], [4657, 9031], [1906, 6575], [5149, 5329], [3849, 10026], [1810, 9496], [6732, 9965], [3617, 9676], [635, 8977], [6480, 6711], [5425, 7075], [3338, 8009], [6051, 10735], [3369, 9574], [5614, 7728], [1497, 1802], [2925, 6150], [628, 5554], [1304, 8577], [4802, 7850], [1436, 3778], [1364, 2212], [4584, 9842], [2063, 3876], [3737, 5247], [4783, 6295], [3910, 6895], [122, 7264], [1061, 11421], [210, 3701], [3257, 4795], [433, 5436], [9072, 10234], [1916, 9491], [8012, 11008], [4259, 10432], [7986, 9787], [2389, 5739], [651, 6827], [475, 4157], [3439, 7660], [7176, 7703], [6763, 11506], [1754, 8382], [753, 3347], [6707, 8164], [4202, 6141], [4637, 6069], [3554, 4385], [71, 6144], [2461, 6931], [3359, 8081], [4367, 7871], [4419, 11444], [4701, 10376], [2671, 7680], [80, 221], [1220, 1628], [3107, 4046], [2167, 2670], [3041, 3426], [1182, 2275], [7928, 11256], [108, 4871], [11100, 11298], [2167, 6053], [3729, 6429], [6559, 7488], [6214, 10459], [7730, 10490], [9531, 10882], [1346, 3056], [1569, 4791], [10218, 11031], [5175, 6071], [659, 5509], [5480, 10090], [6316, 10362], [6105, 9361], [6652, 8776], [8995, 10471], [556, 1597], [4420, 7077], [6555, 9597], [837, 4468], [8018, 9213], [3792, 6727], [5210, 10387], [4244, 7790], [8099, 11272], [456, 8159], [5767, 8211], [1073, 9821], [4347, 7888], [699, 11300], [3022, 6701], [7722, 8289], [728, 3370], [7166, 10286], [1027, 6443], [75, 8440], [28, 7870], [3137, 7590], [6223, 6360], [10956, 11094], [6909, 10071], [6842, 8849], [369, 11546], [7342, 9172], [3538, 5655], [3486, 5465], [1294, 3939], [6094, 7643], [7310, 7382], [7494, 9943], [5216, 9397], [4292, 7026], [512, 3903], [1105, 4417], [7271, 7427], [1975, 4273], [2498, 4048], [231, 11208], [1690, 10705], [5023, 6723], [4362, 11178], [2875, 3217], [3126, 7000], [5581, 8182], [7045, 8023], [1006, 1378], [8753, 8978], [2781, 2801], [8510, 9220], [8014, 11268], [7541, 9358], [7078, 7382], [3303, 11019], [962, 4489], [4014, 4429], [3678, 4480], [5794, 6196], [1028, 6240], [532, 9042], [5609, 6416], [349, 9335], [3828, 4424], [2857, 10151], [1773, 4115], [4730, 6447], [7144, 7628], [2140, 8258], [2854, 7601], [617, 7056], [856, 9324], [6160, 10841], [2383, 4983], [1354, 5070], [798, 2903], [2570, 4809], [1935, 10485], [4622, 11236], [8846, 11397], [7763, 10467], [910, 6527], [3429, 6004], [10249, 10962], [3611, 5486], [7077, 10139], [3087, 9650], [993, 5249], [5196, 10949], [1901, 5589], [2294, 10953], [7927, 11248], [5907, 9240], [1435, 3315], [2297, 4808], [8729, 8903], [5931, 10765], [5803, 11519], [245, 10809], [7673, 10550], [3776, 6088], [3008, 10646], [3629, 9044], [4052, 5205], [2661, 9784], [3368, 7956], [4242, 4548], [2846, 9537], [4608, 5837], [1478, 5240], [7104, 10026], [449, 5327], [3706, 7951], [5139, 6227], [1995, 6698], [3521, 8171], [1964, 5133], [562, 2006], [1496, 9983], [5071, 11196], [1282, 4547], [2092, 10014], [5793, 8148], [834, 10049], [5419, 5463], [3609, 4985], [491, 6677], [54, 6676], [4348, 5324], [4659, 9158], [1383, 8012], [4557, 8881], [1890, 3090], [2855, 5462], [8682, 9006], [6430, 7429], [3035, 4117], [4602, 5591], [3227, 10703], [5868, 8857], [419, 5461], [5211, 10021], [1381, 7535], [7757, 11321], [7567, 11197], [661, 1961], [4210, 10621], [5167, 6716], [660, 11158], [5323, 7229], [5203, 6346], [4487, 10340], [864, 1539], [55, 9506], [4117, 11561], [4320, 5504], [6195, 11295], [9612, 11168], [1856, 6488], [3201, 8327], [1609, 9240], [2349, 3388], [4289, 9574], [2272, 11247], [4557, 8076], [7767, 10854], [952, 3988], [2701, 10606], [2659, 11134], [1284, 9830], [3159, 9205], [5327, 6947], [6452, 7322], [500, 8967], [4985, 7183], [10150, 10820], [4895, 8421], [6750, 7918], [9843, 10111], [523, 1222], [5882, 8108], [1300, 10713], [1248, 10523], [3258, 4673], [1551, 1664], [28, 6878], [4518, 11100], [9329, 10829], [7644, 8545], [4013, 9652], [1859, 9364], [620, 1505], [3885, 8154], [8212, 11446], [8545, 11097], [5532, 11085], [8173, 11491], [7984, 8586], [8202, 9977], [4747, 6614], [4318, 10638], [3496, 7820], [3406, 11310], [2471, 10278], [4059, 6213], [8042, 8941], [3801, 5423], [2350, 5787], [2997, 3154], [507, 9333], [6257, 10213], [2282, 4340], [8998, 11200], [5830, 7113], [837, 7932], [3915, 9093], [2170, 9010], [4047, 5048], [1862, 4693], [3978, 6409], [4258, 9432], [2117, 9349], [801, 5242], [3944, 4546], [2478, 3878], [392, 3502], [612, 5720], [3716, 8102], [7105, 10845], [7087, 9485], [69, 7952], [361, 5320], [1844, 2959], [256, 1362], [3893, 10623], [753, 2168], [3373, 8113], [1902, 7101], [1901, 7630], [4767, 10598], [5107, 6502], [1652, 3139], [1337, 8231], [4083, 6933], [5423, 9182], [3952, 8170], [342, 9400], [991, 1178], [5724, 5912], [8313, 10292], [2114, 4890], [2547, 10407], [2583, 4402], [4159, 4484], [363, 7244], [2424, 9253], [1744, 9494], [4817, 10311], [10085, 11417], [5259, 10656], [1921, 4468], [6587, 11390], [4089, 6374], [4448, 7970], [10967, 11310], [9014, 11278], [824, 9524], [2412, 4705], [2940, 7076], [1044, 7578], [7582, 9440], [2439, 9534], [7678, 9902], [1537, 4478], [3064, 6553], [4681, 6636], [445, 3462], [2598, 4279], [6918, 10564], [3993, 10399], [8347, 11350], [7652, 10559], [2302, 10552], [4260, 7518], [2794, 6850], [2828, 3428], [7962, 8506], [1761, 2277], [2366, 11476], [3734, 4439], [5098, 11246], [5349, 8613], [5380, 7926], [681, 5028], [8461, 8604], [4264, 11020], [1728, 10438], [16, 6331], [4770, 8936], [1320, 1753], [977, 11213], [2109, 6343], [1106, 7651], [4905, 8572], [7785, 8994], [233, 7497], [479, 10936], [8981, 11464], [45, 11583], [6069, 10780], [2210, 3392], [1313, 11512], [2143, 2170], [3061, 4696], [3056, 4352], [778, 1554], [3737, 7719], [3241, 3351], [407, 9720], [5324, 9845], [9123, 10766], [680, 10818], [1062, 4696], [4687, 6026], [9461, 10007], [6025, 7448], [3891, 8536], [4880, 9050], [7058, 8234], [4656, 10096], [919, 3637], [5523, 9681], [4540, 5949], [8012, 10447], [978, 8381], [1599, 6779], [2232, 4440], [506, 2909], [2682, 11092], [830, 11112], [39, 3443], [3717, 8541], [3457, 7678], [3811, 5924], [4401, 9173], [2811, 6749], [1777, 5738], [5519, 6125], [9182, 10191], [4428, 4580], [7633, 7768], [501, 10829], [6882, 9297], [2455, 8053], [5204, 10436], [369, 6179], [675, 9669], [3269, 7977], [8675, 9047], [7270, 11284], [5379, 5714], [6344, 8086], [7734, 9698], [2753, 5616], [9105, 11260], [4406, 8362], [4683, 11114], [6648, 9251], [235, 9747], [2697, 8690], [493, 4121], [1630, 5287], [2404, 11097], [3216, 6811], [1825, 11390], [1412, 9531], [2816, 7069], [702, 11061], [2490, 7084], [4427, 9589], [6982, 8723], [354, 929], [4829, 11289], [2145, 10055], [851, 1735], [4679, 7558], [192, 9269], [3012, 3224], [804, 7581], [6683, 11315], [6383, 11023], [1959, 3634], [2989, 11319], [4037, 9030], [2017, 7776], [7841, 10295], [52, 9639], [3383, 4076], [2395, 10580], [6287, 7528], [1992, 2993], [2606, 10800], [9294, 9977], [309, 3788], [2943, 7941], [4627, 9246], [1879, 4055], [516, 11436], [1889, 8907], [798, 10368], [2594, 4000], [7485, 9320], [1066, 2454], [1754, 2828], [8386, 10741], [3336, 10272], [74, 888], [5278, 10869], [2252, 4236], [6918, 6994], [3060, 8876], [6699, 7630], [3987, 8512], [6141, 7302], [9398, 9926], [3859, 9266], [2267, 3763], [930, 5949], [5389, 8606], [2927, 6253], [5198, 5628], [4971, 6403], [127, 11452], [8998, 9403], [7711, 10952], [9273, 11328], [278, 4451], [648, 3984], [8684, 10933], [1146, 1228], [337, 5031], [6064, 10623], [1078, 2033], [5097, 5172], [270, 7192], [3095, 10159], [6574, 9412], [2570, 5053], [199, 8480], [3709, 9298], [5059, 5819], [4916, 5541], [874, 4862], [9817, 11549], [1032, 2038], [254, 5154], [686, 5565], [4741, 10613], [3306, 5094], [1095, 3518], [7314, 9572], [6063, 6614], [7382, 7986], [5078, 6219], [5191, 10068], [2713, 10592], [3668, 6614], [5309, 11255], [5025, 5834], [577, 10883], [429, 3815], [370, 6618], [1896, 7337], [3689, 10120], [1641, 6818], [2849, 6696], [3657, 4920], [3693, 4577], [673, 7558], [11281, 11366], [441, 7208], [4620, 8350], [1812, 4606], [6354, 9772], [851, 2353], [7168, 8942], [8415, 11000], [1768, 11100], [8182, 11206], [7094, 9932], [7772, 8864], [427, 2964], [397, 843], [5130, 8987], [9543, 11299], [9054, 11108], [6222, 6970], [49, 3543], [4350, 5614], [1939, 9642], [5553, 10029], [1751, 3175], [5995, 11128], [4366, 8776], [2282, 9227], [6391, 11128], [8073, 10108], [1139, 8246], [7569, 8885], [297, 9657], [4929, 11333], [1787, 2051], [6797, 9537], [1186, 7311], [3063, 6759], [10026, 10113], [6302, 8777], [7596, 9927], [5977, 6011], [4242, 7370], [689, 3472], [904, 5346], [4207, 8315], [8749, 9317], [2651, 11137], [2677, 5942], [1588, 5224], [4162, 4408], [400, 6752], [858, 1214], [1952, 6440], [3385, 4716], [900, 11239], [243, 352], [153, 10258], [1916, 10166], [1551, 9479], [4531, 9351], [5971, 8798], [2442, 9458], [1322, 3011], [3415, 3777], [7479, 8187], [8571, 10334], [1635, 11055], [2251, 2693], [7082, 7962], [576, 1851], [3680, 8397], [1529, 3462], [5804, 9974], [6441, 6653], [966, 8452], [6191, 6478], [7309, 9846], [3332, 10316], [2924, 5795], [8213, 8532], [4696, 10707], [2294, 5399], [4078, 5410], [2806, 7991], [535, 2200], [2486, 6323], [2132, 10706], [824, 4962], [4621, 11472], [1135, 8796], [3191, 6297], [3439, 4147], [7523, 7681], [4283, 8444], [5455, 8665], [9821, 11131], [8073, 11531], [5580, 7613], [8235, 9580], [1630, 3490], [444, 11507], [4456, 9311], [4769, 7556], [6854, 8461], [2067, 9880], [5443, 7500], [1067, 7699], [8278, 8903], [9772, 10838], [7530, 9949], [9610, 9756], [3013, 10697], [3474, 5430], [3171, 5621], [1646, 3592], [5937, 11391], [2981, 5497], [49, 4161], [2952, 9640], [275, 3161], [6546, 9405], [921, 7473], [4682, 5658], [8978, 9637], [3622, 5678], [4685, 5175], [6429, 11449], [1391, 9085], [1869, 4953], [3997, 4774], [592, 774], [8504, 10131], [5634, 6263], [1465, 3557], [1341, 1801], [1841, 6288], [7842, 10951], [151, 10830], [3821, 4733], [767, 2468], [3232, 11508], [5503, 10129], [2203, 4425], [3672, 8774], [559, 5148], [1880, 8875], [6473, 10566], [2511, 5709], [114, 7915], [150, 3408], [8739, 9597], [1896, 6345], [5990, 7214], [3840, 9297], [920, 9476], [3969, 5735], [2190, 6822], [2169, 5945], [2780, 3655], [3750, 6371], [3563, 4293], [5613, 10647], [1172, 10451], [6918, 7425], [3900, 7069], [4177, 9821], [8110, 9022], [7351, 10690], [7356, 11034], [4121, 5725], [244, 2669], [433, 5574], [598, 7331], [7218, 7313], [7407, 10218], [315, 4764], [6781, 7312], [4949, 7984], [4267, 11562], [1867, 3671], [765, 8383], [5894, 5947], [1663, 3117], [6839, 11050], [860, 10872], [2003, 6191], [822, 8136], [5061, 9329], [4062, 4340], [1911, 3569], [5044, 10853], [4672, 8241], [1839, 11048], [4389, 5674], [375, 627], [5674, 8216], [4604, 7548], [1252, 8070], [7532, 11394], [4548, 9868], [2143, 5797], [7495, 11512], [7099, 11512], [865, 3645], [183, 7223], [150, 4831], [1306, 4519], [2328, 8179], [2204, 5669], [1335, 10175], [492, 8732], [8244, 10260], [1945, 7660], [6272, 10952], [9161, 9208], [4004, 8842], [3063, 4612], [298, 2450], [9821, 10944], [3221, 5952], [3871, 9252], [5027, 8940], [3165, 8272], [1565, 11576], [7886, 8485], [7534, 10285], [7231, 10476], [4862, 8314], [3401, 7990], [3109, 4206], [10708, 11154], [9218, 10092], [5455, 8828], [6169, 8171], [1313, 10951], [6669, 8494], [3981, 7518], [438, 4308], [190, 10622], [2146, 4509], [647, 7865], [6965, 8263], [5220, 8180], [901, 8913], [2026, 9288], [4791, 9952], [278, 3272], [4878, 7662], [946, 11315], [829, 4314], [1800, 10638], [4684, 8550], [1845, 9657], [821, 3672], [5158, 7652], [3153, 5952], [8036, 11411], [8911, 10857], [5045, 8714], [9372, 9754], [4893, 9074], [786, 1584], [6608, 10446], [8194, 11216], [1897, 10197], [8691, 9770], [1869, 8149], [1282, 4417], [2299, 7733], [2519, 2781], [2204, 3709], [5970, 9408], [8063, 9420], [370, 8472], [4066, 8514], [9451, 10205], [3541, 5660], [4731, 10594], [1481, 10669], [3733, 5830], [5782, 6324], [4655, 5122], [3473, 4213], [2788, 4110], [1666, 3252], [738, 10561], [3814, 7889], [856, 1168], [1439, 8164], [4768, 5938], [5456, 9722], [9292, 9744], [763, 8524], [7609, 11293], [407, 783], [4947, 11538], [4233, 5779], [6540, 7063], [2218, 4115], [6607, 8285], [1397, 4905], [9022, 10822], [2647, 4228], [2729, 5758], [6034, 6144], [3696, 8176], [7094, 8753], [3383, 3515], [4434, 5661], [5366, 6395], [5350, 5862], [8509, 11361], [3686, 10871], [914, 7538], [1022, 8761], [3816, 10163], [1913, 3078], [4965, 8680], [2100, 2904], [1416, 5655], [9872, 11500], [323, 1031], [1493, 6841], [5949, 6571], [1002, 9987], [2430, 7919], [2208, 2622], [1709, 5907], [7689, 8939], [996, 3002], [4695, 6725], [8683, 10551], [7592, 11258], [8803, 11407], [2932, 6036], [2199, 8171], [3443, 4296], [4325, 11329], [4385, 11380], [242, 4233], [185, 7863], [1613, 5795], [7213, 9360], [246, 11522], [5588, 10133], [5430, 7295], [954, 10296], [204, 4880], [6525, 8959], [3600, 4630], [4461, 10062], [3941, 8306], [2635, 4887], [4927, 5139], [4746, 7013], [1537, 2925], [819, 6846], [6481, 11289], [903, 9203], [784, 7791], [4227, 7387], [10023, 10864], [2027, 10107], [463, 1734], [688, 4296], [1546, 6801], [1272, 7730], [272, 8555], [6655, 7096], [2231, 10287], [4046, 4693], [5648, 10914], [988, 11354], [3476, 9266], [8510, 9976], [614, 8669], [2471, 2577], [7489, 7672], [7733, 10284], [2592, 4035], [10852, 11446], [1592, 9024], [1166, 3897], [903, 5015], [606, 11410], [8599, 8863], [838, 3839], [1343, 2254], [1584, 5349], [3366, 3779], [436, 3270], [1464, 10128], [4291, 7506], [3506, 9451], [6842, 9150], [18, 4450], [2729, 9759], [6681, 7512], [2579, 6782], [6676, 7168], [4222, 8840], [1293, 11185], [5501, 10059], [5344, 5911], [6089, 6819], [2042, 5796], [3496, 9113], [6801, 8745], [5777, 9176], [10777, 11056], [421, 1807], [2532, 3179], [453, 10390], [2993, 4328], [4565, 5392], [2597, 3574], [6884, 7467], [4588, 10479], [189, 5621], [2900, 4514], [6050, 7241], [8307, 8438], [4356, 10129], [1558, 5575], [3120, 5951], [1313, 9154], [23, 606], [1614, 5884], [9401, 10631], [2261, 10421], [5251, 8729], [1615, 9492], [1866, 6859], [1548, 1854], [5467, 9293], [4503, 7523], [280, 10970], [3131, 6490], [75, 9814], [3562, 8928], [5776, 7769], [676, 7937], [6233, 9176], [1751, 1809], [10584, 10610], [1005, 10098], [10005, 10903], [3987, 7764], [7463, 8971], [873, 11083], [5004, 8047], [6810, 11035], [4369, 10690], [427, 7209], [9549, 9697], [2947, 9540], [1791, 3436], [5154, 11374], [2592, 4653], [3588, 7092], [647, 8646], [1191, 9298], [6980, 9352], [6479, 11056], [326, 9759], [11341, 11474], [3345, 6553], [3211, 4109], [2120, 8980], [3374, 5039], [728, 4289], [881, 7537], [1192, 9119], [2369, 9684], [8248, 8500], [7169, 9224], [1710, 4386], [7625, 9275], [7723, 10564], [1534, 6604], [9736, 11401], [849, 5747], [4142, 11034], [3296, 3658], [9770, 10231], [2955, 3365], [4581, 7698], [2181, 3971], [5174, 8212], [1533, 8631], [2925, 11070], [2335, 3657], [1160, 3919], [10555, 10915], [987, 11346], [680, 9883], [1824, 8056], [4967, 7360], [1173, 6783], [10419, 11027], [7002, 10400], [1890, 3391], [3662, 7549], [1955, 3786], [4875, 11154], [2152, 4330], [4341, 11220], [9351, 11536], [1159, 8955], [3120, 9602], [758, 2195], [2053, 6953], [9398, 10601], [8775, 11376], [3403, 3474], [3958, 7668], [4887, 8131], [10618, 11213], [1647, 8894], [4954, 10107], [55, 3391], [1956, 3987], [7993, 10559], [4068, 10465], [4790, 7417], [1172, 3124], [11218, 11393], [4876, 7191], [9208, 10827], [2981, 10547], [1427, 7026], [9548, 10895], [10379, 10823], [5408, 9681], [6733, 10898], [4369, 9080], [9317, 10770], [1980, 4731], [4588, 6909], [204, 3083], [9510, 11542], [1666, 6261], [9097, 9683], [7641, 9703], [131, 7708], [4799, 4877], [476, 11126], [312, 3555], [7777, 11469], [776, 1969], [3396, 5662], [3050, 5025], [4944, 10112], [6222, 11483], [2302, 10235], [6777, 9261], [6042, 9795], [4383, 8732], [3535, 6945], [3010, 11261], [8700, 11336], [4314, 6683], [1427, 9254], [4221, 4240], [9052, 9509], [5504, 5955], [6000, 6536], [1262, 2212], [384, 10382], [1946, 11512], [2135, 4995], [1230, 2674], [2940, 5954], [6080, 7993], [4019, 10148], [1166, 11549], [4927, 5570], [2867, 10579], [8570, 9361], [1123, 7688], [70, 3217], [2494, 2834], [7746, 11351], [4635, 8552], [8, 11384], [3322, 8880], [6563, 10971], [5534, 10304], [6444, 9559], [6002, 6208], [8990, 10859], [644, 2176], [6906, 11310], [6185, 10796], [5696, 8353], [1114, 10204], [1386, 8448], [57, 8243], [4840, 5170], [5063, 5407], [1916, 2197], [9668, 10141], [1879, 2315], [3677, 5442], [7613, 9078], [1373, 4429], [1430, 8346], [2462, 5524], [6610, 7353], [3340, 9405], [749, 8362], [5855, 11392], [1146, 5554], [10519, 11071], [1522, 8285], [5685, 9668], [9146, 9813], [2823, 9825], [772, 6252], [5369, 11125], [4531, 10026], [5224, 8492], [3292, 6331], [1912, 6935], [1476, 7536], [1254, 8655], [137, 2479], [4592, 8400], [763, 8768], [446, 6617], [3371, 4530], [4150, 10684], [253, 6976], [2615, 5715], [283, 1900], [5704, 10418], [8777, 11235], [3546, 8476], [8833, 11544], [371, 8136], [550, 9599], [4249, 6906], [3440, 4293], [577, 5760], [3145, 11515], [10044, 10912], [8239, 10024], [2353, 10037], [3633, 8071], [3225, 4304], [1980, 10960], [1920, 4493], [6333, 6805], [4114, 6839], [1101, 10991], [4649, 8129], [907, 1326], [15, 9790], [3430, 7338], [9195, 9250], [1805, 5859], [5822, 10423], [4860, 5316], [3480, 10084], [4507, 7672], [5016, 5829], [9298, 9378], [1958, 6074], [1827, 6557], [5096, 11450], [1491, 6608], [1331, 9359], [3201, 7636], [1262, 11474], [2353, 5849], [7363, 9171], [3103, 7101], [5726, 10311], [991, 9668], [3976, 10638], [4506, 6666], [7577, 10820], [5146, 7780], [2252, 2764], [5149, 7297], [3258, 5137], [9512, 10246], [6892, 10717], [6155, 10424], [5615, 6538], [1974, 6203], [6856, 8027], [4927, 5383], [818, 9898], [42, 4015], [5766, 9336], [226, 2789], [8806, 11144], [1086, 1203], [4048, 8797], [7059, 7982], [8873, 9333], [174, 5258], [5039, 9357], [593, 4653], [3317, 4562], [459, 8625], [6128, 7823], [1727, 2138], [1135, 4478], [1763, 1795], [4345, 11420], [2480, 7071], [7922, 10050], [1384, 5182], [4092, 7564], [3042, 6020], [9726, 9959], [3198, 6533], [1877, 2082], [894, 4766], [4373, 10435], [2594, 11522], [6735, 11426], [164, 11336], [8321, 10698], [6423, 10373], [8295, 9477], [1072, 7512], [3871, 8504], [623, 2990], [442, 7116], [6665, 9906], [6238, 8341], [1496, 6527], [3123, 7298], [2156, 8263], [3020, 4167], [5267, 5400], [2149, 7092], [2583, 4166], [5674, 9696], [2155, 11044], [1527, 11475], [6100, 11036], [2640, 8083], [217, 4904], [408, 1466], [9673, 9924], [158, 1291], [1431, 1564], [4225, 9382], [3358, 3381], [7423, 8393], [5403, 6385], [4910, 6452], [953, 1939], [58, 306], [5159, 7156], [388, 2692], [4842, 11421], [2168, 10875], [886, 10516], [10230, 11131], [765, 6025], [3533, 8458], [1534, 5075], [5238, 8388], [3250, 9301], [131, 1723], [1343, 4726], [4744, 4820], [8345, 11418], [1626, 10676], [4021, 8397], [1244, 10382], [3047, 7437], [1526, 7062], [5395, 9476], [3547, 6262], [3884, 4901], [1839, 8690], [1108, 1826], [6240, 10241], [2265, 4368], [4837, 6889], [232, 1374], [2384, 4999], [7518, 7825], [2532, 5651], [8046, 10196], [1950, 2263], [6060, 7772], [4933, 10734], [2031, 10738], [9570, 11219], [3775, 7186], [1316, 2098], [1689, 10974], [249, 5111], [1461, 8114], [4606, 10497], [4673, 5303], [5289, 7521], [2430, 11359], [3672, 10067], [1860, 2346], [3327, 6622], [2231, 11149], [3721, 5795], [4251, 8993], [6907, 8179], [1892, 4486], [1484, 7135], [1112, 10939], [551, 9182], [3373, 5462], [1969, 5672], [5558, 5817], [1170, 8665], [2013, 5944], [1354, 11226], [7259, 9011], [1350, 7320], [4999, 7516], [2063, 2274], [5547, 8287], [5789, 7820], [7471, 9052], [2275, 3096], [501, 4527], [5888, 7799], [2273, 7187], [2894, 5585], [1999, 8116], [5421, 9087], [1491, 8649], [6874, 8015], [6565, 10643], [6472, 7446], [6066, 6758], [2783, 10857], [1057, 2880], [2077, 3461], [164, 1350], [241, 4014], [5518, 8646], [2381, 3872], [2157, 4918], [1133, 4595], [3903, 7855], [4147, 10467], [5370, 11377], [10521, 11174], [5077, 7368], [4521, 10119], [3936, 7214], [4672, 9534], [10523, 11220], [6538, 11075], [1378, 7782], [4366, 9427], [55, 252], [2114, 7850], [2208, 7485], [4758, 6275], [6382, 7529], [4489, 7548], [7040, 9192], [1983, 8306], [8115, 9480], [9245, 10199], [59, 6760], [4200, 10828], [6991, 8549], [6688, 8740], [898, 10713], [2548, 7526], [2753, 7958], [2983, 10864], [4845, 5870], [9694, 10964], [1346, 1454], [5676, 8427], [1295, 4872], [5997, 7287], [1878, 11114], [104, 6129], [9, 2859], [1161, 11473], [6106, 7230], [9745, 10148], [6133, 9053], [1967, 6618], [10833, 11395], [4520, 9089], [2092, 5566], [3516, 6008], [6661, 8391], [6687, 7360], [10391, 11427], [3610, 9807], [2454, 3703], [10045, 10790], [1826, 4134], [1526, 10258], [6037, 9695], [6159, 10624], [610, 10030], [2816, 8256], [8961, 9635], [5962, 7077], [8427, 9701], [767, 11145], [734, 8753], [8172, 8428], [8270, 9717], [4710, 11064], [1890, 2025], [7588, 9131], [420, 10283], [2041, 2194], [363, 3333], [635, 1577], [3408, 8518], [6949, 7868], [3618, 6261], [6534, 9346], [756, 6418], [5417, 6580], [697, 9221], [1750, 8030], [5322, 9726], [8374, 8912], [7997, 8962], [1280, 2631], [3515, 8765], [8186, 9615], [1364, 1578], [3100, 3827], [522, 9405], [3946, 4787], [1399, 10432], [153, 5566], [14, 2024], [8453, 10898], [708, 9760], [4603, 10389], [1211, 7348], [5968, 10224], [3938, 7528], [3198, 6964], [7859, 9378], [8259, 10251], [6829, 9240], [2510, 6563], [5672, 10081], [7454, 8511], [1568, 8524], [6910, 7135], [408, 4930], [3276, 8725], [1091, 2708], [2646, 8329], [2346, 8037], [622, 9585], [2771, 7277], [3296, 3715], [3834, 6774], [1996, 10664], [8689, 9431], [4857, 6872], [10612, 11506], [1374, 7877], [7305, 11047], [3444, 9248], [190, 10305], [990, 10920], [2726, 6753], [391, 9837], [50, 9544], [179, 5982], [3656, 10824], [175, 8492], [980, 7199], [455, 4345], [5677, 9270], [542, 557], [1608, 3735], [3958, 7375], [3061, 9079], [7173, 8245], [2803, 8289], [1318, 3407], [6173, 6818], [2687, 4142], [2180, 8283], [3455, 10137], [2092, 6184], [3823, 8089], [3987, 6211], [4412, 5451], [11113, 11249], [220, 8211], [2323, 5558], [8623, 11012], [339, 3207], [373, 2037], [894, 3237], [6931, 7557], [4042, 10055], [3479, 4465], [9554, 11521], [7393, 9308], [827, 5398], [9450, 10417], [5360, 6314], [4088, 8895], [4002, 7623], [7763, 8060], [2758, 5082], [1978, 8125], [3222, 3496], [1099, 4773], [5422, 10575], [5355, 9353], [1819, 7314], [5050, 8717], [330, 11358], [664, 4064], [1407, 8309], [1443, 1550], [7537, 8656], [7377, 11407], [1926, 10594], [2335, 5137], [4298, 4359], [7630, 8066], [994, 3417], [2616, 8008], [1654, 5153], [7256, 9545], [6318, 11248], [10050, 10947], [26, 10573], [4107, 10426], [2083, 4512], [6527, 9143], [3786, 10785], [928, 6180], [272, 399], [7429, 11166], [509, 6004], [4251, 6391], [7895, 9653], [739, 2494], [6150, 10324], [2750, 6668], [890, 2663], [7390, 8205], [3185, 6596], [1199, 3418], [43, 1478], [2004, 2125], [316, 2576], [448, 9111], [4077, 7177], [4214, 9892], [854, 4137], [2427, 4702], [690, 8644], [5449, 8183], [4172, 9666], [163, 5717], [1341, 2720], [2215, 3476], [5669, 6614], [3487, 6530], [6468, 7758], [3641, 3964], [7524, 10248], [430, 3967], [9573, 10742], [2166, 5462], [526, 10091], [2021, 2829], [951, 2161], [8054, 9659], [298, 4979], [14, 5220], [4002, 9046], [1194, 5302], [6018, 9400], [2257, 2547], [49, 1242], [3598, 7650], [785, 3562], [3992, 6823], [2374, 6515], [3489, 6202], [8320, 11471], [1345, 2438], [6360, 9514], [2005, 10590], [2031, 9559], [2554, 11586], [4806, 6747], [4296, 11371], [9153, 10691], [8403, 10193], [8530, 11466], [1801, 3620], [4, 4101], [1874, 8794], [962, 3050], [215, 8485], [4819, 10365], [1793, 2978], [836, 4631], [3759, 3969], [3915, 8646], [3665, 7717], [4284, 10206], [8273, 10470], [2069, 4724], [2812, 8969], [9454, 11154], [289, 6340], [4370, 6193], [8175, 10312], [3965, 8359], [455, 1125], [6200, 8077], [6821, 10639], [11313, 11524], [971, 6145], [3099, 5212], [2621, 2958], [1875, 4831], [2090, 5951], [3427, 4519], [6924, 10737], [5336, 9140], [8192, 11420], [928, 6448], [1122, 9697], [1720, 4139], [785, 9523], [5190, 7810], [3729, 7486], [6346, 7498], [7562, 7991], [1172, 6027], [3670, 3873], [3826, 8550], [8679, 11134], [584, 2824], [9489, 10185], [143, 2327], [9475, 11226], [2787, 4135], [3246, 7867], [1062, 11120], [2378, 8811], [5519, 7288], [6575, 9778], [5675, 7801], [3330, 10197], [6, 5597], [847, 6967], [4704, 11276], [4976, 9520], [3634, 4192], [6869, 8720], [2880, 5423], [9701, 9825], [5902, 6652], [1702, 5387], [184, 10945], [1726, 9945], [5650, 11312], [4043, 5501], [115, 6644], [2763, 8221], [3007, 10833], [8361, 10959], [395, 2497], [6453, 6940], [7848, 8896], [4429, 8196], [74, 9272], [8563, 11093], [1999, 8010], [853, 6758], [4800, 10583], [2061, 8888], [3709, 9038], [8196, 9579], [596, 5412], [2901, 10033], [5767, 6585], [7041, 10466], [1838, 3339], [3672, 6123], [4855, 10640], [366, 8518], [4010, 6118], [10649, 11038], [2332, 8011], [5969, 10102], [2762, 6841], [5597, 8244], [578, 3678], [3203, 3551], [1637, 5685], [6212, 6827], [3755, 8228], [1427, 1903], [1568, 7800], [766, 6358], [5031, 8772], [857, 6476], [46, 9452], [7957, 9539], [6823, 7920], [10069, 10355], [3130, 5143], [5019, 10640], [607, 8930], [2159, 4454], [1407, 9545], [1501, 6928], [5704, 7710], [2707, 5979], [4869, 11046], [4704, 6283], [91, 8821], [4549, 9378], [6562, 9461], [745, 943], [2925, 7370], [27, 4864], [5290, 5626], [5412, 7309], [1124, 10361], [5071, 11180], [6382, 7773], [3582, 8808], [9621, 9791], [2696, 4285], [2787, 4403], [1986, 5815], [5781, 10000], [5313, 7680], [6894, 8860], [6675, 7244], [2547, 7545], [3132, 10450], [1391, 1441], [3099, 8058], [2851, 8710], [358, 4038], [6858, 9580], [5614, 7793], [5144, 5400], [825, 6133], [3743, 9291], [5341, 5914], [3904, 10148], [1540, 8330], [1695, 5989], [2094, 3254], [1530, 11025], [250, 3165], [1535, 4953], [2343, 3177], [6314, 11560], [3981, 9055], [3197, 8192], [5000, 5247], [6099, 10817], [9545, 9930], [2452, 10667], [4504, 11432], [5161, 9487], [54, 9238], [3910, 4277], [3536, 8008], [4549, 7418], [3339, 10877], [6487, 10525], [2991, 7161], [3648, 5216], [3861, 6263], [4762, 11094], [2398, 2860], [2771, 8326], [431, 4650], [8739, 10597], [3207, 11108], [924, 1550], [3234, 6515], [1303, 10214], [6530, 9067], [6101, 6675], [5562, 5643], [3881, 8019], [639, 7955], [4247, 5144], [2292, 8449], [4783, 9288], [8754, 11255], [548, 8968], [4865, 7408], [8108, 10326], [3942, 7891], [632, 1499], [100, 3890], [141, 3891], [7517, 9858], [3059, 7049], [380, 6159], [1541, 6945], [1658, 7530], [4856, 6541], [8438, 9679], [253, 8269], [1898, 3984], [5509, 5608], [1687, 2983], [4550, 6434], [10271, 11457], [2016, 5144], [7900, 8468], [1398, 6263], [529, 3599], [3603, 7270], [2858, 7116], [3942, 6736], [2230, 2629], [10380, 11400], [5151, 10222], [1398, 9646], [2007, 10693], [1821, 8059], [4491, 11115], [1655, 10241], [2693, 11371], [6430, 11414], [7077, 8781], [702, 1433], [1220, 3116], [7233, 9294], [1682, 11283], [1773, 4985], [465, 11319], [6659, 9207], [4854, 9073], [8534, 8582], [3573, 7404], [1706, 6392], [4290, 10428], [3333, 7917], [5045, 5608], [3569, 4252], [3360, 4078], [1354, 5940], [5073, 11039], [3069, 3148], [1422, 10016], [8855, 10101], [3313, 3508], [4842, 7908], [554, 10960], [401, 3548], [4656, 5274], [6712, 6939], [5313, 7493], [482, 2224], [2424, 9237], [239, 3220], [6436, 11205], [3253, 8338], [6498, 7919], [887, 3441], [4818, 6733], [5924, 8586], [884, 9559], [7303, 10009], [10818, 11171], [5240, 11337], [3657, 3668], [4242, 6573], [4646, 11352], [7672, 11569], [7318, 11071], [623, 8471], [2653, 11167], [1536, 10653], [2395, 6213], [9802, 10739], [4855, 8493], [4773, 9592], [2187, 8893], [7820, 9188], [158, 9805], [991, 3390], [87, 11093], [2587, 3350], [1962, 3298], [9269, 10626], [4601, 7795], [3381, 3396], [3883, 4546], [4779, 9787], [2291, 5459], [4285, 8498], [1210, 5356], [5067, 9665], [4069, 11317], [3221, 9530], [3627, 3802], [4155, 6173], [1039, 9446], [1980, 7260], [6328, 9177], [700, 2810], [2754, 10818], [853, 3806], [1598, 4714], [3376, 9818], [117, 6367], [1163, 8169], [3253, 10916], [1039, 6413], [5111, 8432], [4550, 10085], [2776, 5100], [2283, 11583], [8071, 8783], [1774, 2846], [6011, 7376], [5893, 8818], [1781, 7400], [9809, 10324], [8276, 8434], [6371, 11102], [1772, 3150], [2269, 3956], [555, 5438], [9610, 10114], [5625, 6559], [4754, 7232], [8680, 10180], [2544, 9264], [5337, 6277], [10153, 10514], [102, 10946], [4424, 7478], [6459, 10518], [8043, 8963], [6518, 11098], [3705, 11174], [5361, 11185], [1521, 8011], [3761, 8073], [2773, 10413], [8747, 10247], [6186, 11298], [3488, 3942], [5072, 8049], [3575, 8068], [10397, 10443], [2324, 2858], [5847, 11051], [1112, 9654], [5444, 6874], [729, 9889], [4753, 6956], [3502, 10414], [4626, 10564], [356, 1390], [6988, 9303], [4438, 11267], [1840, 9053], [697, 7318], [1313, 9536], [6576, 10298], [416, 5578], [10586, 11439], [9779, 10407], [823, 9120], [6014, 8316], [283, 5234], [4801, 5842], [4553, 5740], [3822, 5292], [432, 8740], [6530, 10303], [750, 11466], [9461, 11414], [4198, 4236], [2988, 8449], [1603, 2293], [2420, 2515], [1518, 10291], [6308, 8389], [2739, 10374], [8209, 8985], [4061, 7910], [365, 1452], [57, 3551], [977, 2016], [6054, 10724], [6584, 7506], [5493, 5961], [9598, 10372], [8882, 10956], [1198, 1426], [2495, 6257], [3467, 4138], [1531, 6739], [2938, 10210], [6678, 9770], [4550, 10703], [218, 651], [572, 1149], [2188, 2515], [5109, 9354], [5756, 6721], [1256, 11580], [3538, 4728], [10337, 11061], [5511, 6890], [4518, 8132], [3021, 5899], [3014, 4728], [5567, 9451], [4693, 6443], [5188, 10586], [9152, 9854], [4472, 4754], [360, 3336], [2820, 5616], [10729, 11292], [7365, 9545], [300, 2504], [7175, 9421], [2636, 6438], [4714, 7670], [1942, 10753], [7366, 10120], [8009, 9997], [8107, 11286], [2350, 2819], [6830, 7107], [3769, 9333], [2289, 4795], [4763, 10945], [3051, 6838], [4299, 9498], [1966, 2829], [8029, 8370], [3772, 10735], [1837, 4112], [2769, 10508], [2117, 6381], [4634, 8441], [1303, 3424], [6216, 10223], [454, 8582], [4528, 5012], [240, 7310], [1914, 2265], [6979, 9458], [5553, 10818], [6546, 9576], [7384, 10675], [5833, 7425], [8508, 10825], [5767, 9057], [6460, 6769], [6629, 8298], [1441, 8619], [3332, 8527], [2712, 6567], [3018, 10057], [2961, 9523], [3049, 5206], [2708, 9077], [7157, 7636], [1131, 11022], [8335, 11055], [7975, 10712], [5281, 8790], [7212, 10726], [336, 10000], [2891, 9134], [1703, 3492], [1073, 9512], [2513, 2543], [5956, 8555], [1200, 9287], [2633, 7563], [8111, 9445], [1439, 5139], [1879, 11073], [6435, 8001], [3309, 9832], [9200, 10163], [1251, 5088], [2061, 10555], [2282, 9211], [4245, 10685], [8914, 10708], [6486, 7185], [1531, 4324], [1658, 6351], [4454, 7826], [192, 5683], [2093, 10443], [6953, 10034], [723, 5319], [6258, 8489], [6340, 10773], [8057, 8808], [1775, 3903], [6624, 7499], [2668, 8092], [1644, 8523], [434, 5566], [231, 10899], [5628, 8443], [5339, 8340], [485, 2121], [3033, 10664], [5428, 7631], [5147, 11553], [5558, 6923], [4054, 9935], [4188, 5963], [9566, 11401], [5524, 10722], [7350, 8700], [497, 5514], [4699, 10989], [7135, 7957], [6259, 11292], [7276, 7438], [655, 3067], [4220, 4346], [2265, 6897], [6158, 7453], [365, 3493], [303, 2615], [5807, 6472], [1418, 2302], [1982, 4330], [8680, 10611], [1990, 8355], [10161, 11587], [680, 8200], [5582, 7293], [1443, 6681], [9564, 10550], [8325, 9107], [726, 7040], [9027, 9564], [1940, 4454], [4651, 10517], [6172, 10892], [1598, 11106], [2990, 8627], [2453, 9176], [1069, 10762], [374, 3555], [2712, 4152], [1533, 9176], [4350, 5866], [2116, 2586], [2207, 9120], [9772, 10822], [6752, 7387], [8899, 10668], [4345, 8151], [2297, 4849], [8857, 10442], [1887, 6671], [3349, 3433], [7490, 7501], [10356, 10469], [169, 1995], [5345, 10682], [2343, 3689], [6233, 11144], [3998, 11426], [4488, 4645], [4097, 4989], [1748, 9895], [8348, 9225], [1039, 5234], [3408, 7396], [4676, 7325], [5457, 7890], [7162, 10826], [937, 11373], [1960, 10717], [8159, 9703], [781, 10079], [2250, 8012], [3800, 6873], [5481, 9415], [2619, 3156], [284, 6240], [6321, 10560], [58, 9869], [7429, 9076], [7023, 7634], [2269, 2777], [6775, 7532], [6529, 11263], [1016, 3156], [2974, 4286], [1081, 3551], [3887, 6468], [3252, 5728], [588, 10034], [5490, 9127], [3814, 4677], [3372, 4332], [3853, 11021], [5744, 10175], [6826, 7470], [3618, 10400], [2816, 9712], [318, 532], [2379, 2541], [7019, 10494], [107, 10111], [314, 1544], [6332, 7312], [4401, 11011], [7352, 10145], [8410, 9298], [1586, 4598], [976, 9742], [2091, 9429], [185, 2073], [1062, 2346], [509, 11030], [869, 4957], [8926, 11285], [2026, 7499], [438, 5902], [557, 898], [6317, 8882], [1400, 2341], [428, 5214], [8053, 11131], [7181, 11202], [1900, 2664], [8436, 10869], [372, 1118], [1397, 8459], [8776, 10937], [8060, 11521], [2852, 10466], [6400, 7604], [796, 6549], [2425, 8901], [5334, 7809], [1796, 11359], [7057, 9042], [1988, 11529], [4521, 8460], [1997, 2223], [1661, 8690], [3725, 10970], [6177, 8471], [3190, 7428], [6700, 8246], [6166, 7558], [3464, 9128], [3904, 9400], [6235, 8826], [3701, 9071], [5982, 9134], [6264, 8066], [230, 1011], [6358, 11111], [1874, 10087], [3330, 3651], [2239, 4358], [2082, 10790], [8348, 10998], [6158, 10299], [3795, 11335], [1388, 6437], [467, 9999], [5653, 8851], [1047, 6144], [278, 678], [2234, 7397], [7774, 10911], [3073, 11350], [9198, 11353], [19, 2669], [48, 7571], [3950, 5961], [10450, 11503], [3722, 6511], [2192, 10554], [8083, 9387], [5127, 9909], [2856, 4118], [5495, 7861], [2749, 9913], [942, 8952], [3569, 9652], [847, 5682], [1316, 10856], [2522, 3491], [1617, 5334], [4390, 5105], [971, 4405], [4552, 9570], [4633, 8246], [2298, 11330], [556, 11518], [4293, 10807], [7937, 8407], [5530, 9925], [1682, 6079], [1455, 6854], [3667, 4868], [7490, 10347], [1741, 6659], [5003, 9627], [1261, 2824], [5379, 5942], [3809, 10586], [507, 8219], [7616, 9116], [5770, 8981], [8249, 9059], [8376, 10332], [3097, 9791], [2715, 8743], [1724, 5150], [2428, 3051], [9977, 10636], [1010, 5807], [4394, 8206], [8776, 11205], [6453, 9388], [1837, 2583], [1055, 8209], [6815, 9777], [7153, 9772], [4197, 10294], [1561, 3816], [5853, 8053], [8678, 11020], [712, 2558], [3757, 6989], [3413, 7179], [8865, 10846], [5537, 9510], [679, 9965], [4099, 7857], [166, 3738], [50, 6007], [4460, 4638], [2290, 10233], [1251, 4714], [7756, 11354], [1663, 7102], [3373, 10382], [4586, 10604], [9347, 10216], [1007, 7737], [7941, 10353], [7512, 7961], [3778, 5183], [6383, 10096], [8690, 11380], [339, 2353], [1849, 9709], [1627, 4412], [3641, 8103], [2146, 2533], [8221, 9589], [3415, 6070], [5378, 7544], [1618, 3545], [680, 5248], [6184, 9105], [248, 9755], [246, 8928], [4594, 6681], [9117, 11043], [2703, 4521], [304, 5900], [3690, 11378], [710, 926], [3137, 4224], [2194, 5583], [5865, 7258], [3007, 4905], [1232, 6111], [6395, 7423], [3494, 7652], [1725, 9427], [4526, 5584], [3003, 4382], [1038, 6245], [7938, 8496], [276, 2697], [10246, 11136], [2108, 5408], [7195, 8388], [5636, 10939], [4098, 8705], [5882, 7962], [2805, 10409], [1432, 6522], [7533, 7629], [797, 5028], [2080, 6743], [2606, 6035], [6897, 7418], [6608, 7315], [2265, 3490], [5023, 5235], [2545, 5759], [5210, 11477], [7882, 11196], [3217, 11292], [1111, 3848], [8356, 10298], [3300, 10014], [9571, 10566], [1073, 4495], [479, 10172], [8414, 10653], [288, 778], [5952, 6048], [191, 7261], [1182, 4438], [4795, 6135], [505, 1944], [7939, 11299], [1181, 4967], [8242, 8856], [6067, 9189], [1836, 6359], [1646, 6235], [5932, 6520], [1587, 2622], [8966, 11516], [5281, 6001], [745, 8197], [9040, 9775], [2202, 5369], [5672, 9040], [9135, 10012], [2626, 6636], [322, 4869], [1411, 9751], [2192, 3146], [827, 3284], [5765, 8450], [2573, 6221], [4304, 8126], [1102, 5209], [2313, 5358], [5616, 8327], [626, 2247], [3611, 7381], [3557, 10528], [2499, 4959], [3514, 7448], [6731, 11397], [8438, 8744], [2022, 5559], [505, 7555], [8557, 9375], [7595, 10684], [2641, 10677], [4294, 11171], [4382, 6854], [1181, 7545], [6090, 7055], [9636, 9782], [8896, 9972], [1294, 10640], [2345, 6370], [3716, 10184], [1536, 3757], [2064, 10292], [3786, 8671], [512, 4188], [5498, 6362], [8887, 11357], [195, 2037], [1905, 9481], [265, 1278], [4024, 11468], [2157, 10456], [6799, 8656], [5488, 9057], [1716, 5795], [5021, 10345], [8032, 9530], [7107, 9940], [1747, 9245], [441, 5826], [10525, 11169], [10585, 11220], [4601, 10698], [4945, 10508], [1378, 6904], [7530, 10982], [3229, 6659], [615, 11082], [1119, 1725], [2449, 9702], [6869, 9021], [1870, 9995], [2791, 6433], [5466, 6423], [175, 10029], [1706, 2424], [3225, 6890], [8510, 11383], [4938, 7435], [9255, 9285], [5559, 9997], [4776, 8605], [2569, 5273], [6121, 11198], [6897, 11419], [7772, 10865], [7423, 10711], [1979, 6905], [6743, 10952], [2182, 7264], [8348, 10274], [1557, 10595], [587, 1463], [1192, 9908], [4892, 10069], [5286, 9996], [1024, 11263], [532, 5139], [8098, 9695], [6350, 10095], [2324, 3533], [5190, 6501], [1394, 10015], [592, 8573], [10050, 10256], [296, 7299], [2610, 3338], [270, 6078], [8419, 10460], [4811, 6855], [3061, 6428], [5683, 6784], [1786, 3076], [4368, 6285], [538, 3799], [3865, 5664], [3560, 11444], [3627, 6250], [982, 11360], [7642, 7735], [2506, 9000], [10123, 10892], [4299, 5367], [2284, 3703], [1626, 5423], [1184, 5078], [2462, 5695], [2343, 4283], [4698, 8267], [3335, 9232], [7036, 9618], [4018, 8508], [4006, 11157], [251, 10508], [4508, 5891], [5294, 6800], [6438, 11389], [1899, 10658], [4315, 6250], [3542, 9710], [6682, 7585], [2081, 3724], [5224, 5280], [1769, 8333], [1757, 6818], [5531, 9372], [455, 10688], [5806, 11297], [256, 4062], [1317, 6896], [1530, 7943], [3338, 5342], [4487, 10275], [5385, 5763], [7466, 10676], [403, 10124], [6530, 6790], [4291, 10336], [10330, 10565], [7467, 7868], [192, 9123], [1086, 6367], [1668, 3339], [2051, 9493], [4544, 6995], [3445, 7841], [1180, 10166], [8210, 8326], [6925, 10702], [2754, 7923], [4682, 10342], [5308, 9084], [5567, 10476], [5379, 11179], [3103, 5044], [761, 11121], [2631, 5988], [602, 6146], [5896, 6221], [230, 4288], [6449, 8090], [10094, 10796], [9898, 10884], [6756, 8018], [1020, 5346], [502, 3663], [1334, 6445], [717, 11172], [7243, 11519], [4036, 8258], [4624, 8428], [711, 10603], [5974, 11365], [6786, 7079], [5320, 6411], [4881, 9747], [2285, 8360], [6185, 11585], [5647, 8526], [2883, 9218], [2970, 5430], [1755, 8545], [5870, 7228], [3038, 3844], [6207, 10785], [4126, 4337], [41, 6994], [6080, 7977], [787, 8504], [2838, 5661], [8880, 10325], [7445, 11222], [8873, 9154], [340, 11198], [5534, 6905], [1802, 7960], [4262, 9486], [5038, 9707], [1583, 8596], [9048, 10848], [2515, 7078], [4471, 7381], [1893, 10707], [685, 4413], [6024, 9923], [4195, 5231], [5967, 9389], [4260, 6380], [20, 11378], [6524, 7994], [4636, 8357], [1238, 6282], [6083, 10503], [6556, 6751], [7241, 10237], [71, 11316], [3617, 7627], [4651, 6386], [4238, 10189], [3035, 8403], [255, 1045], [1786, 6272], [4126, 9948], [1126, 7165], [2466, 9414], [1831, 8674], [3737, 9614], [2961, 2977], [2049, 3649], [3852, 7120], [4048, 4780], [7279, 8435], [2083, 2479], [2833, 7895], [2695, 7961], [3457, 4312], [1738, 9614], [5685, 6269], [10459, 11004], [122, 5215], [5781, 6731], [4576, 10534], [1739, 6052], [1147, 1976], [4409, 4944], [5284, 9308], [8854, 10177], [4502, 11524], [5247, 9426], [4218, 5349], [11, 7077], [1667, 11252], [7083, 8092], [512, 8002], [2901, 11570], [10678, 10711], [4482, 9744], [6131, 8584], [7368, 7702], [5506, 7034], [4456, 7742], [6414, 8872], [318, 939], [4485, 6982], [366, 10055], [1744, 2208], [7812, 8093], [176, 3515], [4200, 6998], [2832, 9871], [6533, 7251], [1495, 4887], [7185, 11378], [577, 2361], [364, 4697], [8982, 10870], [2072, 4898], [945, 3696], [3661, 3687], [4626, 6059], [2625, 8265], [3812, 9518], [6587, 10870], [8161, 8627], [5425, 6449], [8627, 9366], [413, 3054], [1008, 11565], [7675, 11363], [1382, 6299], [506, 7382], [2032, 8101], [5953, 9951], [4487, 9283], [4645, 10623], [2083, 10318], [3676, 10761], [4359, 10037], [3079, 6341], [1957, 5483], [2984, 9487], [6968, 9407], [1209, 10693], [6503, 11522], [6086, 11419], [1855, 8589], [3446, 8205], [3475, 8943], [7805, 9500], [9357, 9942], [7110, 8709], [5711, 9263], [2108, 6002], [8102, 9494], [2283, 4313], [6835, 10167], [5245, 6989], [849, 5812], [2463, 2968], [4214, 6249], [2001, 2348], [1660, 8471], [6510, 7374], [10159, 10980], [6177, 11106], [6110, 9884], [2376, 7106], [1182, 4682], [443, 7726], [1742, 9220], [2924, 7877], [5513, 8847], [5224, 8744], [626, 10062], [1989, 7599], [5072, 8350], [1738, 3816], [9048, 10661], [7611, 8479], [5632, 7226], [2075, 5838], [3448, 4063], [3662, 7964], [6864, 10881], [3932, 9545], [1796, 9806], [1788, 3529], [4798, 5495], [2962, 3796], [785, 9718], [2965, 3313], [979, 10715], [9881, 10985], [9339, 10436], [3864, 5065], [6283, 7344], [1224, 10519], [1436, 1542], [6666, 10492], [38, 5704], [3209, 7056], [2394, 11044], [2263, 7363], [6502, 8556], [4297, 10932], [858, 1686], [954, 8564], [4572, 6441], [1511, 9421], [955, 11418], [666, 4899], [3121, 6835], [3628, 8329], [4130, 9479], [4990, 7893], [1920, 11511], [4059, 4351], [2314, 4268], [3157, 5711], [939, 9380], [5108, 9834], [2592, 9874], [10472, 10648], [8631, 10857], [384, 8569], [7748, 10015], [7, 6367], [6297, 11133], [2892, 7133], [3024, 3088], [2580, 5326], [501, 6121], [3106, 4618], [5141, 8412], [1490, 7389], [6728, 10538], [9118, 11325], [3664, 6831], [5935, 6206], [8579, 10293], [2884, 3458], [4850, 8613], [2508, 10526], [1331, 9961], [1417, 2565], [574, 1122], [6404, 8347], [8706, 9287], [5621, 6955], [6247, 9861], [8513, 8892], [452, 3576], [6639, 6709], [2783, 9418], [2571, 11225], [3927, 7591], [8018, 8132], [2758, 11051], [1344, 6409], [4515, 7761], [1029, 5085], [10003, 11085], [1784, 10845], [6071, 10574], [8099, 10191], [1998, 2668], [9432, 11269], [6906, 11375], [29, 2877], [4803, 7612], [1455, 4146], [4080, 11189], [2117, 3299], [1681, 10316], [5848, 9189], [5626, 10308], [10853, 11413], [8119, 8564], [2257, 2555], [6470, 8943], [1210, 7698], [9823, 11275], [8928, 9642], [3918, 7074], [8181, 8661], [304, 11568], [182, 4223], [273, 3587], [5780, 6961], [6766, 8712], [3562, 4968], [482, 7144], [4747, 9558], [4064, 10282], [9265, 10166], [6423, 7592], [2035, 10440], [7396, 8327], [7332, 10786], [2782, 9142], [2001, 2161], [4707, 9378], [2899, 3311], [1063, 3864], [1164, 3916], [4889, 8860], [2380, 10825], [3803, 8413], [902, 8642], [4494, 5298], [5261, 7685], [409, 2293], [7007, 10622], [1900, 10373], [2982, 7668], [900, 8946], [1084, 5091], [4953, 6751], [53, 3597], [3814, 8198], [4352, 11257], [390, 738], [8142, 8682], [993, 1940], [9076, 9489], [4938, 9102], [5834, 9425], [757, 5635], [5488, 6536], [4940, 9148], [3216, 9942], [3971, 9286], [4645, 8476], [882, 7212], [3375, 5468], [572, 2068], [694, 1499], [2022, 2233], [4769, 9451], [72, 5128], [8318, 10197], [529, 8787], [746, 908], [3638, 9261], [3674, 4754], [85, 5363], [4489, 10565], [2622, 3137], [7597, 10814], [5190, 8168], [4849, 7875], [5935, 6824], [3295, 11524], [1676, 8362], [7330, 8780], [2952, 8152], [2740, 10713], [1539, 11282], [985, 3526], [4997, 5494], [2256, 7136], [6676, 7209], [7118, 7554], [6548, 7963], [1634, 5103], [1332, 10400], [3433, 6920], [267, 4414], [547, 6683], [3092, 4375], [9189, 9500], [6608, 9145], [4485, 6258], [758, 4651], [1773, 7140], [5855, 9847], [1748, 8773], [4549, 11346], [7375, 10751], [7036, 11285], [8247, 10680], [4973, 6197], [8713, 9921], [270, 3557], [2664, 7469], [8512, 8884], [7674, 7785], [9355, 10327], [6063, 10900], [4384, 9185], [3534, 4319], [1359, 5406], [3224, 5591], [309, 6114], [9201, 9860], [890, 5867], [4341, 9488], [1817, 5503], [2131, 11520], [574, 4318], [3621, 6166], [2843, 2866], [1874, 3004], [4083, 7917], [3248, 10499], [910, 3486], [9342, 11189], [2778, 5854], [4522, 7964], [4763, 11059], [105, 8162], [5785, 7549], [4174, 10664], [1347, 7624], [5674, 10916], [1056, 6694], [3461, 8513], [4920, 8010], [806, 5765], [7404, 8432], [532, 5196], [1805, 5469], [1988, 10057], [670, 10041], [10165, 10825], [2083, 10294], [767, 6941], [7546, 7734], [1672, 2846], [4091, 10787], [3468, 5146], [2387, 11459], [6273, 10090], [2065, 2548], [5903, 9059], [1972, 6521], [887, 8174], [5543, 10244], [4434, 8093], [5363, 8556], [3207, 3277], [1620, 10950], [218, 5571], [8039, 11400], [720, 6721], [9529, 10210], [935, 4431], [3147, 6609], [7011, 7925], [5292, 6811], [8401, 9537], [1861, 4596], [10171, 10616], [5415, 11348], [6435, 7765], [8608, 10015], [4229, 6533], [1238, 2338], [1420, 3318], [2263, 4761], [7149, 9737], [5750, 11045], [9693, 10210], [5429, 11404], [4206, 8242], [850, 4858], [9569, 9585], [6396, 11570], [7501, 10569], [508, 10756], [3218, 7549], [917, 9463], [5384, 8628], [8909, 10478], [1502, 5952], [122, 4304], [2680, 9371], [311, 7209], [1219, 9801], [3485, 8078], [2019, 7410], [2117, 4535], [8068, 9081], [5719, 8325], [5667, 8135], [3571, 7071], [997, 1471], [3729, 7657], [2367, 11476], [2856, 8257], [4602, 4778], [2893, 10768], [1324, 9221], [3478, 7257], [8860, 10185], [1692, 11337], [1198, 4386], [3130, 3541], [327, 5059], [2870, 9094], [4005, 10157], [3286, 4054], [1637, 10849], [698, 3282], [3184, 3777], [2946, 11533], [7361, 10508], [7294, 9286], [7664, 8065], [7386, 11504], [1913, 3550], [2322, 7919], [3874, 8361], [5274, 10661], [5976, 7735], [5456, 9389], [6040, 6407], [2086, 8581], [1489, 4161], [3882, 10881], [153, 2785], [1233, 9833], [2141, 5255], [7336, 10986], [5898, 5950], [366, 6461], [2389, 8740], [6401, 9954], [4586, 9132], [7424, 10052], [2694, 5589], [3124, 11589], [8380, 8928], [3123, 11364], [793, 9130], [230, 9956], [6665, 10939], [7262, 8943], [688, 4418], [605, 9079], [5015, 7710], [6725, 8738], [1338, 6220], [5955, 6053], [1802, 4634], [1366, 7487], [2799, 3511], [1739, 3531], [1372, 8433], [1437, 3166], [2954, 3799], [989, 8668], [4631, 4687], [1399, 10229], [895, 6000], [9761, 10023], [112, 4608], [1679, 6082], [2952, 6355], [2503, 9003], [9703, 10018], [1726, 9311], [4184, 10010], [5061, 11037], [10, 1298], [5486, 9523], [5362, 7767], [10116, 10372], [5210, 8127], [5361, 7542], [1505, 3835], [4180, 10241], [4300, 8091], [1344, 2197], [57, 3746], [554, 10968], [2801, 5785], [6034, 10267], [3947, 9666], [4360, 5863], [3603, 9856], [2330, 3167], [2204, 3994], [6817, 7872], [6345, 8816], [6344, 10843], [2485, 3455], [2442, 6791], [6242, 10566], [4406, 11119], [366, 4851], [3752, 10329], [7114, 11249], [8755, 9474], [6549, 8996], [5993, 6829], [1881, 5411], [5463, 7795], [2013, 7782], [790, 3866], [2125, 8023], [392, 3039], [2905, 8363], [1133, 4205], [4209, 10955], [8071, 9946], [6393, 11085], [2310, 3989], [216, 3752], [2650, 4811], [2113, 6858], [3582, 11207], [1117, 2921], [3792, 8573], [2990, 7131], [3267, 9883], [7398, 9099], [3175, 10294], [656, 7407], [3947, 8861], [4061, 4267], [5913, 7600], [3162, 9308], [6584, 10279], [3346, 5453], [737, 9466], [4469, 5001], [3820, 10971], [6560, 9104], [736, 9995], [5309, 9556], [4970, 5926], [3150, 4760], [6489, 10392], [1544, 8219], [4097, 6526], [3968, 7836], [8419, 8720], [5864, 8088], [2435, 8198], [8226, 9079], [2004, 9143], [9493, 9537], [6571, 8889], [5050, 8514], [4704, 7877], [4917, 8924], [4636, 8682], [3985, 11573], [960, 10046], [2072, 3800], [462, 9769], [1243, 10334], [3796, 8641], [1060, 10627], [4040, 9001], [5647, 8396], [5223, 6348], [2069, 6131], [981, 11273], [8336, 9193], [4304, 9232], [1666, 8343], [451, 11458], [379, 9892], [10556, 11262], [3469, 6152], [1015, 7070], [9064, 9373], [4361, 6733], [534, 10180], [1177, 4395], [678, 6926], [1870, 8523], [366, 5119], [8025, 10620], [681, 9826], [5882, 7458], [423, 3374], [6090, 8161], [3232, 5808], [2702, 9026], [9299, 11468], [8950, 11314], [3819, 5753], [444, 10263], [2624, 10274], [5989, 10711], [1980, 6008], [7768, 9624], [4704, 5917], [1569, 4222], [3193, 6230], [4774, 5158], [5142, 9526], [1009, 9483], [384, 3015], [6669, 7437], [287, 9498], [3995, 4639], [4234, 6907], [230, 2548], [3986, 6805], [1985, 2595], [4205, 11050], [1657, 7425], [6568, 6981], [1480, 4530], [9673, 9965], [1087, 8211], [1390, 1604], [2415, 8945], [1957, 7313], [1671, 6727], [2442, 6604], [1795, 2821], [1456, 3355], [3567, 11143], [5936, 6889], [3448, 9731], [5617, 10327], [5082, 7539], [49, 3267], [11163, 11377], [6619, 10302], [4365, 5646], [7348, 9199], [720, 8575], [9381, 9914], [389, 8970], [4044, 6005], [1757, 6851], [692, 6527], [3982, 5127], [3400, 5903], [4917, 9542], [5698, 10107], [1894, 2426], [1348, 5111], [3583, 4829], [5097, 8197], [1807, 3181], [6251, 7058], [738, 6121], [9304, 9852], [1142, 3730], [553, 9751], [2514, 10398], [1831, 11122], [4037, 5184], [1179, 6995], [2509, 10054], [7020, 9491], [7431, 8271], [1667, 9967], [2571, 7899], [2320, 4116], [291, 11444], [3035, 6313], [3468, 9578], [6556, 11427], [1534, 7344], [9572, 10956], [4555, 7217], [2406, 3109], [2287, 5861], [3345, 4260], [4150, 9383], [657, 9700], [6739, 7347], [6541, 7362], [7191, 10662], [6915, 8512], [2584, 8484], [4953, 10646], [3308, 8515], [1770, 5527], [2150, 5748], [1611, 11132], [718, 3910], [10950, 11403], [2431, 10871], [3548, 4969], [991, 9172], [3575, 9044], [3642, 11020], [3105, 10815], [6226, 8640], [705, 2924], [7119, 9446], [3975, 9917], [3569, 9229], [1992, 11174], [7395, 7809], [6276, 11386], [4029, 10153], [5876, 7480], [7335, 11141], [6265, 10473], [3619, 5559], [9229, 9812], [2846, 3357], [263, 8591], [3372, 9065], [2815, 6673], [3429, 8818], [103, 7555], [1319, 8048], [6083, 11341], [7439, 7707], [5047, 10257], [2435, 10589], [4517, 7059], [3488, 7146], [2610, 8900], [10465, 11307], [59, 10639], [3478, 4923], [2932, 8362], [582, 3998], [6497, 8887], [3197, 9599], [5005, 6998], [2975, 4302], [6190, 11588], [5806, 8215], [831, 10337], [9102, 10767], [2128, 8752], [1692, 9353], [5026, 8225], [2218, 4481], [1380, 1884], [4375, 6952], [2288, 3722], [3781, 6213], [668, 9003], [6858, 7149], [1335, 1360], [4054, 11448], [2607, 8578], [4611, 5889], [6347, 8138], [4263, 8589], [6809, 9889], [3380, 7747], [8309, 9387], [1590, 8645], [3825, 8363], [184, 2366], [6309, 8785], [5777, 8924], [5128, 10730], [6439, 8077], [7743, 9915], [1669, 10631], [1638, 2650], [1101, 4697], [2045, 6192], [2778, 3333], [3533, 4929], [5145, 11084], [6148, 8278], [4307, 7733], [4644, 7126], [7856, 8479], [4776, 6491], [6921, 7447], [4555, 11218], [1415, 2763], [1584, 4292], [563, 10656], [4820, 6039], [2123, 7953], [1495, 4220], [5044, 11382], [555, 2844], [10585, 11334], [8780, 11200], [2801, 11022], [10884, 11401], [5541, 8401], [460, 9373], [832, 2563], [4321, 4756], [5092, 11049], [2180, 11089], [8832, 10609], [2144, 2764], [1767, 2814], [6371, 8858], [6159, 10665], [7300, 11573], [10352, 11513], [7236, 7616], [2289, 4616], [5059, 5624], [1475, 6577], [146, 2208], [6491, 10091], [755, 3255], [9471, 10717], [1785, 10940], [515, 7178], [4173, 4484], [10503, 11278], [125, 6242], [68, 9872], [412, 9682], [1441, 3179], [2394, 8954], [6820, 11471], [7340, 7565], [1643, 10483], [153, 5257], [4979, 9428], [2804, 4099], [8939, 11206], [2671, 10925], [2795, 6265], [8090, 9948], [1481, 8620], [2921, 8067], [9017, 9584], [3550, 11244], [3607, 5362], [1117, 11541], [5305, 11291], [4852, 10003], [8770, 8926], [5318, 9244], [1607, 4006], [6154, 9516], [1269, 8148], [321, 1993], [8695, 9691], [1190, 8040], [4032, 10614], [5209, 11179], [1348, 2964], [1098, 9205], [1246, 9103], [7727, 10431], [406, 11341], [3959, 4659], [4179, 6877], [378, 10047], [1563, 8221], [1489, 5828], [365, 8307], [1676, 5654], [2266, 2487], [4786, 11234], [5758, 8361], [1272, 10674], [5004, 10373], [6931, 11436], [675, 6254], [1239, 1866], [4043, 10372], [5411, 8253], [2880, 7261], [7236, 9039], [8956, 10755], [5802, 11292], [1053, 2615], [2689, 6912], [5151, 10019], [9328, 9580], [3905, 7405], [5618, 5698], [857, 6086], [3179, 7678], [1441, 4602], [8072, 9661], [4961, 6862], [1568, 4377], [3175, 10188], [8042, 10950], [4675, 10440], [9750, 11151], [2920, 3253], [9505, 11320], [4987, 8460], [5453, 9953], [5854, 11051], [27, 10890], [868, 11506], [2520, 2730], [5006, 6231], [56, 3714], [1890, 8750], [3197, 8607], [7056, 9579], [1361, 2744], [5003, 5179], [7466, 11140], [16, 9950], [5036, 10954], [3990, 9182], [227, 7918], [3367, 3541], [8674, 10237], [168, 4305], [6986, 10688], [3184, 3834], [668, 11044], [7645, 10324], [6643, 8070], [2428, 5019], [2310, 6461], [166, 6861], [1059, 7667], [622, 7666], [8311, 8872], [10141, 10756], [4086, 9240], [3205, 11477], [5173, 6879], [7773, 11448], [5792, 8614], [2456, 3253], [5757, 10313], [1296, 3823], [7966, 8056], [1736, 4095], [1708, 8463], [1152, 10460], [2422, 7806], [111, 9032], [4469, 7473], [2180, 10902], [2423, 8408], [274, 4300], [4120, 9948], [8022, 8338], [6305, 10303], [2698, 9552], [6764, 8373], [2528, 4445], [6791, 10196], [356, 2797], [7458, 9693], [5144, 7238], [4710, 10918], [1231, 2997], [3562, 8839], [3245, 6688], [1374, 1770], [4049, 11586], [190, 4198], [7130, 10012], [3706, 8968], [530, 856], [2026, 9280], [4734, 9410], [5078, 9220], [10109, 10413], [1902, 5272], [527, 10384], [2397, 5251], [11082, 11148], [7935, 7938], [1798, 4168], [32, 9624], [2329, 10220], [1266, 4307], [5309, 7840], [1363, 7623], [544, 5076], [4186, 7511], [2228, 7135], [8394, 9391], [242, 3957], [8602, 10094], [102, 7360], [2942, 9107], [3408, 10600], [5679, 9975], [4342, 4991], [794, 7853], [5238, 9478], [5176, 8600], [1064, 3018], [7204, 11223], [5544, 7306], [1590, 8726], [2500, 4975], [10865, 11456], [4275, 7152], [4609, 6274], [194, 883], [5799, 11208], [8930, 8997], [432, 9342], [4384, 7095], [10770, 11569], [5099, 9292], [3793, 10037], [2982, 7351], [2041, 3121], [463, 1458], [3847, 10273], [6221, 6363], [3222, 10221], [4316, 9031], [9701, 11476], [6210, 8456], [3758, 4539], [4558, 8564], [4598, 11346], [5457, 6906], [1169, 9958], [2778, 3764], [5437, 8883], [8759, 10404], [951, 4780], [6734, 8052], [2274, 11586], [5209, 10187], [658, 7941], [4198, 10099], [3119, 6659], [490, 2880], [1994, 3251], [1923, 4539], [5291, 8657], [6960, 8930], [2345, 2727], [7958, 11415], [7607, 10434], [5926, 7892], [2944, 7193], [6989, 11553], [5554, 6034], [6387, 6789], [209, 6371], [6020, 8658], [2534, 5982], [2748, 3467], [1492, 10745], [6297, 10629], [1340, 6941], [1185, 9282], [5665, 7154], [6625, 9182], [651, 2932], [6588, 9300], [1486, 2979], [2297, 5638], [5504, 8899], [896, 9529], [6457, 7504], [235, 7568], [2692, 6167], [3975, 7128], [5523, 10080], [7758, 9044], [1968, 3103], [350, 11463], [1338, 2707], [3063, 11183], [1256, 10222], [1932, 6829], [2687, 5419], [10550, 10750], [218, 6059], [819, 7188], [4196, 8416], [8955, 11365], [2981, 11531], [744, 8734], [6212, 6518], [2540, 8001], [4929, 11569], [1049, 9720], [75, 5350], [3908, 11517], [166, 4714], [4935, 9105], [1855, 11281], [3720, 5804], [6987, 9116], [2374, 9402], [1063, 6393], [3843, 7335], [4022, 5388], [1437, 8297], [7357, 11278], [129, 8215], [3152, 9669], [2242, 7004], [497, 505], [3167, 3561], [11544, 11557], [215, 11372], [709, 1327], [4170, 6390], [4875, 7145], [1428, 4397], [3193, 5132], [7957, 8425], [705, 1558], [1360, 2950], [3218, 6882], [6798, 8439], [2634, 6831], [4874, 6893], [1424, 3874], [5837, 6186], [5742, 9332], [10281, 10817], [3249, 5414], [7848, 10360], [6795, 8141], [6081, 6546], [7765, 8605], [971, 9032], [4926, 10466], [8348, 11437], [2617, 8355], [4611, 4978], [3427, 7406], [9533, 9611], [5797, 10170], [7574, 9010], [2825, 6025], [1467, 6580], [10737, 11218], [723, 5116], [1580, 4013], [4169, 8393], [6743, 7577], [5773, 7490], [8486, 10216], [78, 655], [425, 10562], [1079, 9854], [6209, 10272], [1133, 9336], [1974, 3536], [6213, 11145], [7789, 9729], [134, 7353], [1440, 3602], [7288, 11433], [662, 6718], [1851, 2382], [3850, 5765], [2074, 11287], [7752, 9847], [8101, 10001], [128, 6784], [3588, 8239], [1444, 10891], [1874, 9721], [11183, 11281], [3086, 6308], [1467, 2392], [5207, 8368], [997, 6415], [4574, 8455], [680, 4264], [1614, 5071], [2799, 3999], [436, 11451], [1869, 9727], [33, 10280], [933, 5841], [7495, 8097], [4076, 7397], [3140, 3511], [984, 8058], [2207, 3306], [4158, 8927], [8027, 11341], [1547, 10615], [8886, 10284], [5770, 6387], [10599, 10829], [2572, 10759], [541, 7838], [6052, 6450], [536, 1078], [4579, 4611], [8, 10758], [2718, 7551], [3523, 5504], [5327, 6167], [8599, 9823], [1609, 3922], [1896, 3198], [719, 7551], [5380, 9211], [6996, 7194], [2525, 10539], [486, 10009], [3471, 7973], [8278, 8684], [5540, 10597], [1297, 6252], [1923, 9158], [806, 8644], [5710, 8564], [1978, 2449], [4182, 7018], [4839, 5073], [3789, 4283], [9472, 9603], [143, 3604], [9568, 10065], [6886, 8123], [10184, 11502], [4890, 5011], [1825, 8219], [9442, 10111], [2553, 5016], [2521, 5478], [2438, 3723], [4914, 6536], [1894, 9517], [6723, 6789], [439, 5975], [1776, 2291], [4354, 8010], [3366, 10350], [2976, 3025], [3072, 9903], [7402, 10460], [1428, 10626], [2424, 5895], [361, 7223], [4041, 6732], [3817, 7778], [4868, 9170], [1943, 9005], [3125, 9914], [3840, 5695], [6774, 7077], [3035, 10371], [4145, 9714], [10342, 11283], [323, 11253], [2162, 10971], [2903, 7973], [3591, 5341], [6108, 8155], [7775, 8355], [9333, 11241], [5262, 6414], [7836, 9008], [3770, 4525], [6851, 8613], [5163, 9818], [870, 5356], [1080, 2722], [61, 9913], [140, 7762], [308, 9790], [3563, 9335], [6279, 9326], [3497, 4551], [859, 10832], [2972, 8867], [352, 2922], [3720, 7040], [2758, 7595], [1512, 11397], [6200, 9972], [2427, 8020], [1563, 5700], [14, 9693], [325, 7111], [4122, 7205], [468, 3255], [2589, 5315], [5357, 5496], [601, 6228], [6473, 8037], [5270, 6251], [3357, 4140], [1239, 5761], [1399, 3764], [5199, 7539], [861, 9750], [1916, 2189], [804, 6183], [1263, 10669], [886, 2051], [3680, 9869], [540, 1414], [706, 9031], [257, 10925], [1193, 9149], [3997, 4823], [3436, 6476], [7818, 9475], [5985, 11457], [5923, 10579], [1069, 10022], [1, 3765], [3658, 7986], [5977, 10061], [194, 1127], [6857, 10605], [2055, 4576], [6874, 7576], [1144, 1686], [2916, 10008], [2142, 9833], [5634, 10045], [9545, 11207], [113, 4329], [2977, 10634], [23, 5567], [1136, 10843], [5996, 7428], [2233, 6918], [3219, 3751], [7274, 8799], [2009, 7210], [1381, 7641], [3437, 5142], [1947, 4080], [323, 2072], [2624, 3541], [3897, 10230], [5304, 9537], [8069, 10201], [10522, 10556], [3211, 6492], [6292, 10580], [4356, 7519], [3385, 10994], [1986, 11548], [2120, 8330], [2976, 9254], [1962, 10373], [178, 11116], [1045, 10701], [7024, 7469], [6499, 8779], [2672, 5810], [5275, 7644], [2503, 10727], [9201, 10592], [261, 9838], [5094, 5354], [9701, 10915], [954, 1888], [517, 1133], [1325, 9937], [7920, 8923], [3493, 8433], [3436, 7899], [7240, 9164], [1297, 8643], [2875, 3136], [20, 10126], [3396, 8500], [1728, 4665], [4718, 9389], [107, 6338], [2249, 9275], [7612, 7989], [9069, 10823], [561, 10480], [1378, 6538], [6703, 8178], [4177, 6032], [6484, 7316], [686, 3012], [2055, 5999], [4011, 9712], [5728, 7747], [5105, 8522], [4611, 7987], [2610, 3777], [1269, 2057], [6444, 7136], [66, 271], [4233, 5560], [279, 7734], [7715, 10746], [3704, 5970], [6780, 9714], [3323, 6278], [3316, 5107], [2545, 2978], [3544, 11350], [610, 9941], [1415, 7894], [4154, 9589], [7576, 8308], [2135, 8183], [2212, 5959], [4092, 5678], [1475, 9830], [7440, 7666], [1311, 10173], [5296, 8066], [3183, 10031], [977, 4635], [1340, 9413], [7193, 11172], [7850, 9227], [2649, 2927], [2802, 6175], [5701, 9283], [195, 4599], [6315, 10674], [1000, 9722], [224, 3839], [938, 2428], [1645, 6262], [2622, 4487], [743, 8376], [221, 9203], [2738, 5601], [9241, 11414], [6369, 10129], [5624, 9221], [450, 7750], [6466, 11193], [2626, 3855], [3627, 5884], [4745, 9252], [1474, 4286], [4937, 9422], [4782, 8353], [8581, 9274], [5119, 11156], [5807, 9278], [1263, 7449], [5700, 10909], [411, 1756], [7444, 10767], [568, 5877], [6889, 9956], [2961, 6181], [1464, 10364], [5304, 7122], [292, 3727], [6130, 6706], [4234, 7208], [3213, 10566], [350, 7869], [1807, 10703], [7502, 11122], [2151, 10513], [4355, 8666], [5969, 9232], [499, 4959], [4258, 8733], [3137, 8477], [2636, 4519], [1113, 3317], [2513, 5617], [1458, 6735], [5336, 5505], [1387, 8023], [3839, 9688], [5592, 9632], [7607, 11296], [3469, 4493], [1134, 7577], [886, 7475], [1383, 8281], [8167, 9418], [10906, 11113], [8703, 9398], [2934, 4334], [10436, 11349], [4511, 5772], [3146, 5156], [2704, 4811], [2091, 6274], [5453, 6440], [3925, 4894], [4424, 6527], [445, 10334], [5317, 10716], [4456, 7913], [4137, 9853], [5467, 6496], [3873, 10746], [3594, 11331], [2477, 5155], [5496, 8365], [3101, 4982], [5706, 9895], [6958, 10045], [3467, 7025], [447, 5842], [1572, 10381], [9015, 10400], [3186, 6783], [2935, 3000], [9598, 10226], [6143, 9869], [2812, 8262], [4840, 10131], [1569, 9329], [344, 5340], [2374, 8036], [4548, 9730], [630, 5145], [6882, 7175], [6252, 6779], [5407, 8673], [3447, 10880], [5653, 5696], [6726, 10045], [186, 10766], [1210, 4673], [5630, 8156], [8061, 11196], [3913, 5957], [802, 3158], [810, 7183], [4189, 5074], [3010, 7846], [4228, 8412], [2784, 11475], [4656, 7169], [9009, 9430], [270, 6680], [9069, 9481], [6951, 11102], [757, 6798], [237, 4288], [2563, 9786], [2501, 8908], [6279, 8952], [481, 4648], [1298, 7122], [565, 3595], [950, 3406], [4186, 11569], [7641, 8516], [1323, 8872], [9263, 9697], [7606, 9461], [6762, 8547], [4525, 8002], [530, 10175], [912, 4053], [2966, 4891], [7532, 10451], [3697, 7621], [725, 7610], [2153, 5542], [10021, 11217], [5237, 9901], [1462, 7122], [2109, 4489], [27, 5767], [7279, 9224], [1737, 2631], [7340, 10631], [1855, 4572], [4573, 7642], [11157, 11377], [3001, 9207], [105, 3364], [3749, 7380], [1567, 11460], [4965, 7119], [1290, 2292], [1073, 3755], [567, 5115], [1780, 5337], [6273, 9830], [2846, 2853], [1095, 8617], [5955, 8208], [1378, 4741], [2400, 7647], [11245, 11547], [2649, 8351], [2809, 6354], [2673, 9499], [7566, 8476], [3273, 11184], [1250, 3243], [9488, 9949], [2673, 3083], [2423, 6318], [2958, 3444], [5998, 7531], [6784, 8440], [560, 7677], [2766, 6657], [180, 1794], [1054, 2550], [7862, 8245], [9892, 10941], [2382, 9700], [4035, 10194], [2610, 5363], [3256, 9675], [1234, 11004], [3570, 4358], [1719, 3879], [4967, 7141], [1693, 9074], [10338, 11408], [4111, 4712], [4709, 5570], [416, 1862], [601, 7277], [4670, 9779], [2397, 9577], [910, 8032], [7854, 11336], [9060, 10387], [2310, 3916], [6014, 7983], [3177, 3501], [402, 651], [6685, 9908], [615, 8114], [4978, 6899], [4716, 8619], [2794, 3736], [9705, 10310], [5665, 11212], [2109, 2879], [10197, 10772], [4065, 7346], [1701, 5528], [866, 8864], [4439, 9250], [1853, 8551], [1478, 9428], [394, 2638], [2265, 10939], [5847, 9913], [8206, 11387], [5928, 8589], [2804, 10466], [3585, 11031], [4607, 7521], [3223, 9861], [8916, 9453], [850, 10209], [3649, 5539], [2814, 8121], [839, 5132], [713, 6713], [3421, 6089], [4824, 6408], [7411, 9961], [28, 9993], [8237, 9545], [7935, 8426], [5060, 7624], [1245, 6924], [3423, 9518], [118, 9886], [8449, 10367], [2600, 3065], [363, 2520], [12, 7955], [6993, 7354], [3557, 11211], [8018, 10531], [2288, 11057], [7068, 8467], [9848, 10163], [192, 9993], [4032, 10915], [192, 3577], [402, 5107], [10897, 11482], [2525, 3830], [2099, 11535], [6695, 7138], [4931, 9257], [5289, 6521], [1187, 5791], [3365, 11391], [1906, 5478], [9428, 9762], [5016, 11058], [1592, 7008], [3328, 5093], [3013, 3769], [1125, 8296], [3613, 5454], [7594, 8109], [7157, 8108], [5880, 10345], [400, 11046], [3752, 4108], [2705, 9251], [1646, 6463], [6749, 9222], [703, 5570], [54, 7376], [1596, 6376], [1998, 3912], [2531, 6627], [3009, 6629], [6457, 6569], [846, 4343], [8044, 8695], [4365, 6378], [6389, 10757], [2153, 7583], [9217, 10989], [2, 6812], [695, 10940], [4267, 8472], [1378, 4554], [13, 10354], [5067, 6835], [559, 1253], [10047, 11446], [4489, 10736], [714, 1541], [1058, 6269], [1431, 10981], [2851, 4888], [2233, 6007], [4051, 10510], [2794, 4354], [9077, 11359], [2575, 2738], [1494, 9051], [393, 9070], [8436, 11528], [7213, 7612], [5589, 6358], [11261, 11489], [419, 5006], [2810, 4483], [979, 9544], [475, 8321], [2257, 4499], [607, 1270], [610, 7957], [980, 6736], [2654, 7353], [167, 6633], [3580, 7518], [751, 3651], [1807, 6141], [8868, 10030], [4083, 5860], [10495, 11555], [1562, 5556], [772, 7911], [3138, 4140], [6346, 10255], [2979, 9745], [1367, 2836], [7502, 9943], [1122, 3005], [4418, 11219], [2608, 4325], [3105, 11547], [2299, 6953], [1490, 10756], [6932, 7319], [6951, 11533], [9053, 9379], [10008, 11063], [1471, 5818], [2162, 9873], [426, 1208], [3970, 10655], [999, 10145], [9710, 10847], [3459, 5255], [1504, 10812], [418, 9611], [322, 3487], [4993, 10753], [778, 1286], [3995, 5989], [3797, 5250], [8282, 9882], [56, 2055], [4830, 6036], [9279, 11011], [4981, 6205], [278, 9981], [3053, 7169], [2707, 10696], [3663, 11070], [3047, 6600], [3730, 10794], [5344, 7196], [363, 5366], [8148, 9286], [3201, 10450], [5040, 10168], [75, 2455], [5028, 8653], [4601, 7088], [2297, 5321], [8609, 11566], [4711, 9885], [4272, 6805], [3703, 7062], [1626, 8684], [905, 8924], [6259, 9804], [8988, 10057], [2460, 2467], [1711, 10485], [3727, 9341], [2959, 6729], [6231, 11139], [1801, 3962], [1646, 2893], [1620, 8088], [769, 6003], [2636, 4763], [1610, 4367], [2986, 8525], [1670, 4418], [2878, 10712], [3602, 4327], [3908, 7817], [1318, 9628], [7677, 10027], [1418, 10963], [110, 10881], [6299, 8425], [2689, 3993], [5481, 8732], [405, 10048], [6625, 6905], [1817, 7447], [3026, 10933], [7255, 10684], [5285, 8039], [188, 2062], [3393, 8660], [272, 7425], [67, 3987], [7909, 8441], [2088, 9603], [4848, 5005], [517, 10639], [3853, 10338], [8366, 9848], [6341, 7496], [6626, 10109], [2382, 2910], [6803, 11499], [3376, 3768], [10529, 10629], [3442, 5519], [8665, 9134], [2973, 5980], [7789, 10217], [3537, 8008], [4688, 7352], [4187, 9810], [322, 10521], [5601, 9564], [5055, 5833], [848, 3397], [413, 6852], [5752, 5946], [492, 5455], [2393, 5297], [2859, 10954], [1529, 3731], [3244, 11519], [5073, 9795], [6005, 9775], [2640, 3676], [5618, 6885], [8496, 11368], [593, 8890], [4251, 6196], [116, 9490], [479, 682], [9475, 10413], [2854, 4544], [4027, 7619], [1508, 4732], [2685, 5297], [9849, 10065], [1195, 3481], [7426, 11050], [2810, 3491], [5688, 7974], [848, 5625], [5708, 9380], [4607, 7147], [598, 2444], [8543, 10783], [2710, 9676], [281, 1047], [1471, 5981], [316, 2731], [1253, 10225], [4727, 11386], [8464, 10675], [10360, 10927], [785, 7905], [4011, 8964], [1580, 5924], [336, 4137], [8159, 10793], [6404, 10022], [7971, 10742], [891, 8331], [4132, 11176], [1458, 10630], [861, 9620], [1894, 11160], [3539, 6875], [5994, 8811], [7702, 9012], [9446, 11122], [3386, 10016], [5588, 6588], [2250, 10980], [4245, 8205], [7200, 10464], [8974, 9033], [3119, 4195], [4560, 6496], [8507, 10321], [5611, 8642], [4556, 9760], [6605, 10254], [7197, 7914], [1904, 10693], [3802, 4602], [3265, 6649], [1680, 8733], [1967, 8009], [709, 1628], [4795, 5989], [1104, 2157], [5408, 10161], [6841, 8437], [5872, 8575], [3224, 6998], [5964, 11547], [3717, 3898], [1690, 4883], [1755, 3780], [6333, 10855], [1419, 10247], [3721, 11187], [2568, 8764], [6572, 6707], [4565, 9068], [4802, 8257], [3618, 10685], [2847, 11562], [2186, 9601], [4264, 4417], [1001, 1978], [9834, 10025], [7596, 10009], [707, 10576], [9397, 10401], [1771, 7265], [2762, 8606], [9085, 9348], [2854, 5162], [11164, 11182], [5496, 8422], [7703, 10256], [970, 11336], [1684, 10679], [1125, 2579], [10744, 11535], [2874, 9197], [5432, 7848], [1194, 10263], [7285, 11436], [9186, 11278], [5705, 9700], [3740, 5147], [7251, 8819], [7624, 7869], [1029, 2467], [1063, 8467], [4889, 7047], [6635, 9984], [558, 7019], [3049, 10110], [153, 2769], [493, 5089], [4008, 6251], [3354, 7713], [4477, 11425], [678, 8252], [3443, 4752], [521, 4104], [445, 11464], [5066, 8787], [4407, 7653], [5828, 10830], [5370, 9198], [1530, 6024], [9716, 10288], [168, 9843], [1622, 8996], [4889, 5892], [1907, 5193], [6855, 11047], [537, 11403], [5324, 5820], [2037, 10901], [4076, 6543], [5700, 8551], [1775, 8457], [9863, 9934], [553, 1733], [1275, 11517], [523, 10192], [548, 11188], [4980, 6360], [54, 4237], [6024, 6581], [423, 9961], [1385, 2236], [6093, 7849], [2597, 4485], [5238, 9055], [272, 9011], [2693, 4947], [6180, 10477], [762, 6394], [880, 9833], [5276, 9512], [1666, 10742], [4997, 10097], [3256, 7504], [1571, 5220], [7133, 9055], [2465, 9634], [7785, 10930], [2246, 10270], [1090, 4166], [3702, 3834], [3108, 9511], [3956, 4882], [7357, 11392], [10079, 10474], [5414, 11324], [7996, 8117], [8180, 10678], [2170, 8181], [7868, 8871], [249, 10316], [9979, 10243], [4700, 8948], [8554, 9576], [2831, 7109], [861, 8628], [6776, 7855], [1118, 9947], [7369, 8369], [3346, 6242], [2220, 7894], [647, 7329], [4799, 11586], [5611, 7300], [9253, 10489], [791, 10491], [2473, 9471], [1069, 5517], [4338, 9656], [3868, 11427], [3429, 10599], [4330, 9014], [2156, 10703], [11115, 11507], [6036, 6136], [2092, 8998], [3926, 8372], [1490, 4234], [4547, 10934], [4444, 7049], [5383, 11206], [11114, 11282], [2091, 9527], [4885, 10175], [1117, 9321], [2421, 11159], [219, 1001], [2426, 5087], [3443, 8403], [4449, 10776], [8525, 10285], [5815, 7830], [3045, 5324], [2819, 11205], [1666, 8782], [7767, 10643], [1893, 5755], [399, 3039], [3193, 10857], [10347, 10773], [7735, 9607], [5496, 8235], [5299, 11104], [476, 10614], [6695, 8000], [8040, 9839], [4044, 5371], [5160, 8666], [11323, 11405], [2665, 7331], [7721, 10998], [9046, 11461], [10145, 10615], [7903, 10480], [8672, 8776], [950, 9342], [2572, 4107], [172, 380], [4407, 10499], [5004, 8503], [6337, 8827], [585, 1458], [857, 3866], [891, 9112], [6262, 6963], [3252, 10632], [1505, 7470], [4048, 11505], [1754, 11180], [3216, 7942], [5955, 8883], [1091, 6140], [7720, 9618], [2365, 9267], [407, 2475], [9096, 10743], [3021, 7851], [6433, 8134], [4077, 10341], [2793, 4991], [1239, 8640], [3732, 6896], [5838, 10176], [3037, 5351], [7747, 8381], [2881, 10473], [7886, 10445], [4618, 9914], [3660, 11342], [5148, 9325], [7319, 11502], [8965, 10825], [2031, 5957], [9715, 9825], [3368, 4525], [3806, 8134], [103, 6921], [1656, 10217], [680, 9184], [3877, 5341], [4229, 9176], [2286, 2692], [1265, 9056], [525, 9246], [8759, 9794], [1283, 7383], [8232, 11031], [2778, 6537], [6294, 10553], [1853, 6193], [198, 3374], [1223, 5797], [601, 10180], [3620, 6974], [340, 9092], [966, 5582], [754, 7389], [6855, 9250], [4209, 4336], [2371, 8226], [1205, 1434], [659, 4119], [5361, 6534], [8064, 8572], [5597, 9285], [6064, 7216], [1016, 8328], [3822, 11245], [2770, 8874], [3254, 5311], [239, 8636], [3723, 10485], [7088, 8670], [5195, 7935], [5909, 7278], [2912, 4793], [2606, 6938], [2503, 3807], [10037, 10360], [5995, 9681], [3468, 9562], [789, 8672], [6290, 6596], [4710, 11276], [2866, 11214], [1477, 6794], [4058, 6395], [2220, 10285], [1902, 5280], [1279, 6055], [620, 7173], [7280, 10718], [9845, 10540], [2808, 4793], [4543, 9069], [3402, 8161], [3612, 5527], [8376, 8820], [549, 5428], [9434, 11356], [5568, 6961], [3386, 6877], [4819, 11569], [2846, 2991], [3250, 7016], [483, 10443], [4849, 6493], [7294, 7741], [4785, 8952], [4589, 4876], [6245, 9805], [2036, 4290], [948, 8678], [847, 2210], [4148, 8516], [7159, 8455], [6606, 9969], [567, 2570], [2093, 8207], [6416, 7593], [2747, 5964], [1491, 8324], [1307, 6517], [1711, 4126], [8028, 10715], [5170, 8362], [614, 5018], [6969, 7927], [369, 9351], [4376, 6811], [2633, 7555], [9978, 11203], [7684, 10124], [10529, 11491], [5589, 10416], [448, 4167], [1568, 4198], [3475, 7992], [3716, 4671], [204, 7190], [5400, 6730], [7943, 10765], [11067, 11517], [200, 9700], [3244, 5615], [4718, 10308], [8135, 10935], [5888, 9702], [2187, 9316], [4298, 5026], [3267, 9948], [7219, 7701], [1117, 6369], [4055, 4487], [1677, 10907], [331, 8843], [4360, 8506], [9523, 9818], [7840, 10613], [8681, 11229], [4631, 6525], [8607, 8836], [4264, 5011], [5403, 9256], [6437, 8015], [9855, 11496], [3790, 9292], [5844, 10130], [8196, 10433], [205, 6610], [3620, 9820], [5769, 8266], [1410, 5436], [1566, 5949], [7481, 8586], [6426, 9704], [6791, 8139], [2954, 10898], [3668, 10241], [433, 11348], [3640, 8193], [811, 1320], [5893, 6208], [3302, 5165], [2397, 2844], [4816, 8533], [4234, 5899], [6412, 8493], [1801, 5442], [221, 10122], [92, 8022], [3380, 9959], [5291, 11243], [5093, 10504], [6311, 11070], [7519, 7538], [7302, 9001], [1426, 9702], [5440, 8333], [1455, 8188], [2265, 7239], [7275, 9807], [1417, 5452], [4278, 8076], [6453, 10372], [4870, 9119], [641, 2952], [4674, 5043], [4431, 8291], [2726, 5355], [3500, 4749], [4054, 6089], [8813, 9038], [3188, 7106], [7006, 8077], [4298, 6449], [2682, 8466], [820, 1382], [4801, 10453], [8543, 10840], [1594, 7192], [5554, 8970], [5038, 9642], [1626, 2943], [346, 1499], [2871, 8338], [1928, 9697], [2936, 9487], [7556, 8894], [4354, 5977], [9170, 9433], [1952, 4806], [2072, 3410], [5471, 9093], [8509, 10101], [3163, 7584], [3228, 8733], [2827, 8389], [8641, 10220], [7868, 10270], [2170, 3164], [3226, 5654], [5053, 9519], [6930, 9721], [910, 2372], [8110, 9803], [1135, 4934], [326, 9491], [4768, 10289], [1469, 7439], [4019, 6229], [8351, 9865], [5457, 11265], [2554, 8415], [1649, 6094], [152, 3861], [10024, 11011], [3388, 5608], [3582, 8857], [98, 7008], [6319, 9725], [3138, 5433], [161, 5078], [7007, 7093], [1559, 10715], [269, 2167], [717, 6464], [6029, 6364], [7607, 8027], [1208, 6701], [2300, 11100], [2254, 4339], [3095, 4955], [2353, 7728], [290, 9056], [5622, 6205], [1575, 7434], [4622, 6276], [7134, 8746], [704, 1691], [733, 6593], [5088, 5517], [1445, 11525], [1796, 6090], [2009, 7137], [2346, 3524], [9596, 10318], [10778, 11227], [478, 9457], [3150, 9176], [4493, 10942], [1721, 7609], [1124, 3189], [2433, 9535], [6129, 9577], [7345, 9316], [6789, 11313], [4260, 7738], [4881, 10300], [7040, 8680], [2928, 3098], [1392, 1691], [7878, 9779], [6195, 11328], [1402, 2379], [1204, 1640], [3084, 7775], [892, 7003], [2609, 4284], [3722, 7308], [4260, 11121], [4040, 6651], [6157, 11221], [3819, 4208], [2377, 2436], [5589, 6041], [4369, 8812], [482, 5038], [6402, 11025], [944, 3379], [7980, 8901], [2691, 6918], [1015, 4720], [974, 2467], [6674, 10400], [2555, 3647], [7821, 8090], [5732, 8197], [1661, 2616], [5639, 5754], [286, 8482], [2217, 4002], [2265, 6702], [5948, 9892], [8341, 10950], [6438, 9527], [4258, 10270], [1116, 5152], [6993, 7305], [2454, 6574], [3610, 6262], [9174, 10170], [4998, 7047], [4913, 8629], [3776, 6739], [6365, 11119], [1322, 8411], [2354, 6343], [4966, 6011], [8487, 10371], [3094, 9536], [7638, 11365], [9726, 11033], [2531, 4700], [103, 4587], [2150, 11424], [2747, 3012], [4729, 8700], [2316, 10373], [2495, 5420], [1492, 6728], [3303, 10060], [6696, 10293], [2704, 9731], [1582, 8873], [4419, 4687], [3698, 4173], [8436, 9251], [1275, 11574], [8985, 9493], [2111, 5430], [7281, 10165], [1149, 2575], [3785, 6801], [607, 2026], [8588, 10022], [3478, 5338], [2552, 8556], [2167, 2329], [8181, 11361], [5991, 10662], [1079, 5219], [265, 2262], [356, 1626], [5536, 7049], [4717, 10164], [4631, 4728], [4958, 6843], [1632, 2170], [4381, 4553], [1915, 8120], [2450, 5246], [444, 692], [3026, 11071], [8320, 11146], [3313, 8095], [4273, 10123], [3841, 4050], [7848, 11336], [3273, 4532], [4623, 7469], [8853, 10828], [8442, 9042], [4237, 7433], [5988, 10714], [40, 9849], [2314, 8741], [2211, 4856], [7599, 10982], [5348, 6597], [1464, 7258], [2799, 9163], [9650, 11522], [5316, 7059], [125, 2201], [3512, 10533], [7060, 7671], [2755, 8110], [2078, 5616], [7083, 7840], [1047, 4876], [7117, 11588], [2198, 4220], [4499, 11351], [475, 2206], [4236, 6053], [4091, 9836], [2124, 5210], [288, 5763], [904, 7981], [1188, 1324], [3407, 6171], [6414, 8620], [4891, 5166], [5665, 10976], [4175, 5750], [8001, 10746], [5, 9989], [5564, 7137], [897, 7160], [4171, 5227], [4418, 11520], [5440, 8764], [1046, 4250], [3630, 8286], [7549, 9309], [3258, 5674], [333, 2099], [3077, 9800], [1487, 7376], [5281, 7953], [1707, 9594], [857, 11144], [922, 11539], [3592, 4769], [422, 10435], [5709, 9339], [5266, 8769], [1811, 6160], [5116, 5792], [1379, 3497], [10348, 11405], [7507, 9433], [2347, 6140], [3088, 7306], [1067, 11489], [3073, 4739], [2804, 10930], [1649, 7680], [837, 5550], [3046, 4047], [7927, 8679], [8219, 8299], [5864, 10007], [4468, 10078], [239, 1659], [6157, 10229], [10, 1607], [8925, 10410], [1943, 10786], [6743, 10326], [4646, 6408], [585, 1515], [1781, 6294], [8604, 11523], [3929, 6767], [4894, 9139], [10716, 11585], [1162, 1526], [3739, 10807], [5055, 7744], [12, 5036], [9010, 9178], [6321, 7600], [2866, 10653], [2802, 8948], [6219, 7323], [2707, 9842], [348, 1952], [3297, 6675], [936, 10790], [4052, 6019], [3140, 8943], [499, 8537], [2803, 9550], [4022, 9560], [3984, 6824], [5575, 6440], [6215, 6800], [2708, 3247], [6193, 8704], [930, 1526], [5317, 9033], [169, 1613], [2259, 5114], [352, 11119], [111, 8024], [10508, 10858], [7982, 10964], [5828, 6512], [7696, 10378], [638, 3754], [2257, 5418], [10221, 10801], [2962, 6927], [2437, 4073], [4243, 7061], [4619, 9792], [3119, 3878], [1721, 8040], [9209, 11242], [2249, 7405], [1559, 6958], [28, 1731], [3326, 4356], [9930, 10221], [4575, 10624], [5099, 9089], [372, 8307], [3636, 5686], [9551, 10575], [3855, 10685], [4430, 5732], [1727, 4448], [2816, 2914], [5897, 10008], [10284, 11099], [7204, 9865], [2193, 9324], [3411, 9890], [78, 8210], [2874, 3269], [1535, 11044], [2774, 6071], [129, 10427], [2128, 11558], [1440, 7774], [1192, 7672], [41, 1912], [624, 1738], [1651, 5742], [1744, 1769], [562, 860], [1781, 11450], [3672, 10604], [1616, 8939], [5566, 10029], [960, 7322], [3417, 10085], [712, 7974], [1558, 8934], [617, 3950], [1866, 6835], [4665, 8581], [840, 6439], [4854, 8480], [4787, 7258], [7625, 8178], [3136, 6810], [3563, 6123], [4228, 8957], [1260, 7964], [5802, 6714], [9480, 11058], [4626, 9003], [5777, 8347], [2410, 2919], [3531, 10722], [2158, 6081], [8823, 9970], [5733, 7294], [3718, 10548], [3938, 8602], [1851, 8782], [3833, 10306], [6013, 10317], [7513, 9815], [3365, 8740], [1835, 10531], [4696, 6739], [2777, 11199], [881, 5285], [6478, 9333], [4525, 8547], [3546, 3833], [8910, 9565], [4209, 10004], [462, 2857], [4080, 7904], [4331, 5271], [1767, 8303], [8802, 10971], [5003, 10050], [9120, 9560], [1120, 2268], [10799, 11275], [6215, 10801], [4811, 6847], [9606, 10207], [607, 5840], [2205, 2463], [4748, 6498], [8113, 10345], [4589, 4933], [1127, 1153], [3158, 10867], [2497, 11158], [5544, 10754], [72, 2648], [8473, 11038], [1097, 5825], [2716, 7489], [3713, 8618], [1679, 8432], [7119, 8332], [4861, 6910], [365, 8535], [4348, 5601], [3791, 10379], [5565, 8948], [6998, 7224], [3629, 5133], [3381, 11447], [9506, 11450], [8262, 9663], [8170, 10074], [5742, 6551], [7545, 10022], [5394, 9251], [6397, 8697], [4679, 10437], [2349, 8203], [262, 4973], [6547, 8641], [7354, 10427], [5234, 8969], [2529, 6858], [1064, 9044], [1680, 4846], [1894, 9501], [3666, 7243], [3726, 11458], [778, 9589], [7218, 10916], [7025, 11275], [2880, 9717], [5039, 8097], [8387, 10839], [1145, 8070], [3194, 4400], [1695, 2094], [7575, 7928], [2654, 3897], [7206, 9751], [1313, 8593], [10779, 10891], [5118, 7050], [2313, 7741], [314, 4358], [3206, 8547], [6545, 11173], [165, 10651], [4831, 6993], [6624, 9776], [4294, 6788], [118, 10081], [3638, 11587], [92, 4696], [2748, 3882], [1091, 4400], [673, 7859], [5133, 9960], [4192, 5730], [921, 11344], [10007, 11169], [7142, 11055], [5440, 8390], [5774, 7512], [2567, 4251], [7463, 9915], [5725, 11003], [4877, 9216], [232, 919], [8170, 11497], [6960, 8540], [9668, 10922], [3584, 3780], [3280, 6752], [1917, 2799], [8534, 9680], [9187, 10999], [4247, 9170], [2339, 7403], [876, 11170], [4983, 9992], [1647, 3877], [2376, 10668], [9967, 11339], [8819, 9260], [2615, 4268], [5567, 8508], [5424, 6702], [959, 9892], [7657, 9757], [4009, 9005], [7529, 10511], [6218, 6748], [1170, 7860], [2145, 5258], [6680, 8499], [793, 4877], [139, 4087], [4095, 8375], [1662, 10924], [3377, 5880], [545, 1742], [1725, 8240], [1940, 10114], [259, 7572], [5111, 7302], [1477, 2476], [4713, 10639], [5417, 8540], [2929, 4966], [6258, 9156], [2283, 10453], [5602, 7539], [11149, 11443], [3608, 3719], [662, 9093], [3016, 10223], [2732, 4048], [4479, 10593], [219, 2107], [1859, 4648], [4735, 8304], [7531, 10533], [6125, 9916], [4879, 11466], [7060, 7915], [1950, 3231], [4931, 10875], [7264, 11128], [11001, 11171], [2764, 9571], [851, 7460], [1659, 3432], [3837, 9032], [146, 10088], [1872, 4479], [669, 2693], [3036, 11198], [3740, 9099], [701, 1450], [7575, 8896], [3549, 8750], [1777, 4592], [7012, 9722], [6981, 8157], [4206, 5307], [6544, 8156], [3325, 7544], [8593, 8650], [4207, 8161], [213, 6772], [153, 305], [7537, 9543], [4359, 4768], [8454, 8491], [1716, 3535], [250, 10037], [2614, 5439], [1984, 5043], [2698, 3632], [2584, 6728], [2608, 11286], [6500, 8234], [368, 644], [901, 1107], [711, 11563], [3880, 7924], [6242, 6663], [1008, 11557], [6729, 6781], [6639, 10271], [8789, 11571], [3932, 5081], [1812, 5875], [1034, 9745], [4184, 5302], [3675, 3735], [3738, 7467], [3645, 5024], [2124, 4649], [1098, 10669], [5829, 11570], [2128, 11184], [6629, 9933], [1002, 7174], [10399, 10833], [5965, 6920], [7086, 10559], [1231, 5721], [2046, 11532], [3009, 10825], [2173, 4137], [1447, 4033], [2603, 3721], [2453, 7160], [1663, 2345], [8882, 9826], [6151, 6494], [733, 1657], [8847, 10771], [2997, 6277], [1192, 6143], [4844, 10020], [515, 10065], [4649, 7300], [2741, 5533], [344, 7739], [3592, 7591], [466, 3006], [5976, 10061], [2093, 2279], [967, 10347], [3744, 8362], [9623, 11342], [4052, 6263], [1846, 7283], [2052, 4907], [4476, 7530], [969, 10393], [1776, 9927], [458, 4993], [1045, 2309], [983, 1431], [5093, 6186], [404, 2478], [1775, 5538], [1204, 6503], [2105, 7924], [5343, 10498], [2074, 6359], [3359, 8147], [5126, 5545], [3104, 6874], [3133, 6114], [1706, 11036], [82, 3366], [8077, 10314], [7017, 8836], [446, 3828], [8568, 10551], [4554, 6258], [4125, 10282], [1482, 9049], [6117, 10242], [9534, 10115], [5736, 10550], [2933, 11314], [2607, 5667], [1237, 11123], [1369, 7078], [1400, 6391], [180, 4998], [3829, 9358], [8211, 10105], [3667, 4112], [4542, 8476], [2860, 5709], [1728, 4917], [2410, 3968], [5613, 10493], [3717, 3825], [1167, 3537], [2003, 10225], [5612, 10268], [2312, 10980], [4800, 8892], [3093, 5129], [1288, 4995], [2339, 8639], [2196, 6833], [2067, 11149], [9030, 11497], [2368, 7879], [3832, 5468], [2612, 8239], [1536, 7726], [4552, 8009], [6037, 6475], [7155, 9843], [1119, 8377], [2734, 6135], [2049, 6032], [3482, 4308], [555, 9732], [8872, 11261], [1023, 5636], [1730, 7218], [6931, 7102], [7022, 7220], [5566, 7240], [2326, 8003], [4475, 5695], [8458, 9177], [2224, 7726], [3442, 8292], [9548, 10497], [1298, 4528], [6950, 8283], [976, 8449], [1920, 4282], [639, 9029], [1138, 3492], [6769, 9376], [5363, 6507], [6483, 6538], [2058, 2711], [1469, 8732], [5017, 5870], [8197, 10691], [2521, 7316], [4233, 5007], [10342, 10893], [3045, 10699], [2952, 3338], [653, 6833], [3328, 6069], [2607, 10473], [8214, 11045], [1267, 1808], [7285, 8330], [1115, 4420], [122, 9826], [6722, 9156], [2302, 3421], [7990, 9085], [6257, 11271], [4667, 8093], [4168, 7214], [1730, 6413], [3419, 8816], [5594, 8483], [4122, 6465], [77, 6269], [3251, 7892], [2509, 6501], [5238, 6754], [10250, 10903], [8094, 9034], [7257, 11543], [2067, 9539], [3581, 6491], [3858, 5079], [1806, 7697], [335, 6685], [3659, 4869], [1776, 9740], [5259, 11364], [557, 2533], [268, 8846], [7489, 10738], [1740, 7050], [7896, 8618], [8080, 10425], [7436, 10323], [5841, 7555], [2823, 7199], [6837, 9994], [6527, 11266], [5764, 9028], [4024, 9289], [1309, 6490], [3437, 5557], [5455, 10902], [570, 9534], [7781, 9984], [2939, 5280], [2870, 7395], [10624, 11248], [3644, 6035], [70, 8430], [3174, 3642], [9501, 10919], [2705, 8267], [3457, 3930], [6514, 9876], [1469, 10505], [3706, 4634], [7876, 9440], [861, 11588], [4758, 9634], [6246, 7617], [10330, 11151], [2567, 5300], [273, 1969], [4254, 11040], [2348, 3684], [9507, 11114], [6174, 9434], [891, 4233], [7212, 10564], [3528, 7149], [6088, 6627], [4273, 5805], [909, 4812], [8544, 11417], [855, 7959], [7417, 10215], [3403, 5922], [1933, 7764], [6640, 10523], [1812, 9689], [6533, 9902], [1676, 4166], [8439, 10842], [779, 5870], [806, 3529], [2516, 4557], [6437, 7161], [1774, 3920], [1141, 4007], [7940, 10340], [4008, 9829], [6491, 6643], [7562, 10919], [6991, 7720], [9114, 10607], [1524, 6374], [2264, 6938], [824, 5239], [5932, 8342], [3848, 9547], [1365, 5563], [1021, 5753], [2605, 10614], [5021, 6206], [3188, 10440], [4872, 6083], [2168, 6826], [5117, 9297], [1812, 5501], [1313, 1616], [1197, 10301], [569, 4316], [5457, 5955], [1560, 2247], [1503, 1713], [74, 9972], [3087, 3568], [5862, 7172], [4859, 7726], [67, 8801], [1808, 4978], [5502, 8357], [275, 3088], [2548, 8925], [5473, 6838], [10354, 10716], [3133, 3162], [9577, 11024], [609, 8976], [3843, 7644], [386, 4208], [8486, 9452], [7541, 7732], [8268, 11444], [7239, 10777], [7571, 9072], [3588, 10508], [436, 6954], [3617, 4830], [6972, 8743], [6519, 7455], [535, 6933], [1996, 7257], [199, 4732], [911, 9664], [5613, 5663], [322, 9269], [188, 6071], [7, 7945], [3272, 8178], [5347, 9893], [4760, 6915], [1675, 4583], [6993, 9216], [6931, 8338], [4754, 6346], [1144, 8330], [487, 3859], [3704, 7808], [1739, 9671], [56, 11220], [121, 5199], [1920, 5518], [8195, 8498], [3821, 5360], [7764, 9443], [949, 2577], [3094, 11447], [10964, 11533], [5272, 8379], [6120, 10166], [2978, 7300], [4189, 7449], [4399, 8225], [7599, 10315], [6292, 7425], [851, 1638], [9304, 10218], [10324, 10799], [6235, 10274], [3701, 10519], [2672, 5688], [1927, 5534], [6531, 6660], [2083, 5293], [6346, 11044], [4471, 6007], [7373, 8632], [2946, 8142], [1201, 1643], [2885, 10118], [5474, 8082], [3623, 7603], [4254, 4437], [917, 5267], [5280, 8216], [6890, 7882], [4459, 4842], [1874, 6997], [3842, 8815], [2003, 3435], [1378, 9799], [1163, 5673], [4929, 10618], [2408, 4652], [3239, 3826], [2648, 3358], [11077, 11544], [4917, 6070], [3774, 10751], [2700, 6931], [2364, 6982], [549, 6160], [4788, 6599], [531, 4800], [4605, 7646], [7241, 7708], [2107, 3384], [6716, 9018], [7769, 7827], [4689, 6593], [1695, 4379], [3540, 11459], [5191, 11126], [2543, 9549], [5746, 8904], [5335, 7118], [10097, 10338], [763, 3995], [3311, 8374], [3441, 7666], [6008, 9843], [6515, 11337], [7718, 10871], [4423, 7009], [4767, 5321], [89, 1048], [1317, 2302], [4733, 9120], [7477, 11159], [5323, 5953], [1842, 10791], [4700, 6728], [964, 10293], [8274, 8470], [796, 5232], [2229, 3508], [1265, 10406], [5522, 5789], [742, 1963], [1765, 8477], [5060, 7421], [3311, 10602], [4462, 9946], [1542, 10125], [797, 5053], [2810, 5890], [4991, 8755], [6763, 10661], [1190, 11171], [5682, 10558], [3958, 11352], [1317, 4530], [3314, 11250], [323, 6301], [1625, 1650], [5694, 10568], [1320, 7430], [4773, 7714], [3175, 4675], [2551, 8231], [1374, 7666], [648, 5310], [7339, 10420], [3631, 8863], [2141, 3637], [4756, 9238], [5568, 9116], [1650, 6783], [736, 4376], [1911, 4114], [7425, 8659], [546, 9914], [2079, 6142], [5807, 8351], [4028, 9438], [4649, 5584], [891, 4664], [8640, 8927], [8855, 10801], [5770, 8469], [9164, 11556], [389, 9149], [907, 8580], [7574, 9132], [1189, 7512], [540, 650], [1945, 9710], [259, 6824], [8187, 11052], [7729, 9420], [4893, 8546], [1025, 3324], [6976, 7870], [3671, 4074], [876, 9617], [6344, 6647], [4983, 8439], [6691, 8640], [7317, 7382], [2171, 7959], [3984, 5702], [8125, 9770], [6876, 7639], [3699, 6472], [1481, 10141], [1770, 3828], [4810, 8669], [1355, 5306], [4223, 9101], [4875, 6812], [3290, 11148], [988, 3792], [7077, 10554], [236, 8883], [833, 6887], [292, 5028], [1570, 6399], [1700, 5691], [8382, 10715], [2592, 6272], [5324, 6796], [1349, 8093], [3928, 11031], [1550, 11035], [2079, 10598], [2141, 5060], [6750, 11448], [2990, 3285], [6371, 8419], [1987, 4593], [8485, 9308], [2231, 4953], [2301, 5692], [1742, 4008], [3285, 6616], [2385, 4639], [634, 11157], [2979, 6509], [5501, 8913], [2758, 4066], [36, 96], [4528, 5899], [4130, 11488], [4772, 8511], [7723, 11028], [4144, 5909], [9780, 11383], [1217, 4917], [1148, 9284], [1655, 8526], [3358, 4219], [7382, 7702], [122, 9265], [7529, 10381], [583, 10414], [6935, 9642], [9359, 11511], [5997, 11345], [2332, 11370], [5209, 10740], [7203, 7363], [2165, 9163], [8290, 11418], [3942, 7249], [4154, 5442], [852, 5327], [4033, 7367], [1163, 6909], [827, 6960], [7040, 9062], [3363, 7572], [601, 11343], [252, 4019], [5270, 11366], [1445, 9224], [1443, 6145], [5486, 9678], [7258, 7420], [312, 8207], [3359, 7049], [5286, 8866], [7746, 10392], [2744, 7685], [7990, 10752], [3384, 8799], [6912, 10166], [3729, 5047], [1580, 5103], [5351, 10392], [2724, 3276], [4260, 5437], [5507, 10905], [5839, 6948], [6052, 7995], [2447, 10323], [458, 7628], [4534, 7137], [7299, 10053], [1751, 9307], [3817, 8250], [1047, 4990], [3373, 10488], [9849, 11472], [4398, 7249], [8756, 9854], [1820, 10575], [2930, 9918], [1378, 10230], [6976, 10716], [6282, 6363], [4074, 11474], [1710, 3240], [3545, 5468], [749, 987], [6000, 6650], [2638, 6484], [6153, 7646], [2770, 5849], [3886, 9144], [4971, 10120], [8429, 10748], [1149, 7495], [2510, 10621], [4719, 8364], [4774, 6573], [10293, 11462], [696, 6237], [8691, 10933], [5991, 9166], [4024, 4540], [3158, 5557], [7602, 10188], [7729, 11461], [5088, 11055], [638, 2445], [478, 5196], [1529, 9594], [7193, 8448], [4421, 11531], [7729, 8428], [167, 6243], [3830, 10309], [4303, 10721], [502, 6721], [779, 5309], [2983, 9124], [10985, 11581], [1764, 9087], [4890, 7256], [4016, 4248], [1526, 3257], [2520, 4869], [4471, 11244], [1921, 6038], [6840, 6990], [6659, 8110], [3533, 6531], [4340, 5311], [1265, 10837], [1199, 6053], [1228, 4539], [7241, 10717], [2439, 4688], [2626, 10930], [9785, 11190], [5117, 5353], [5898, 5918], [2417, 10002], [1882, 7214], [1599, 3893], [1964, 2328], [4489, 11419], [4491, 5830], [2650, 6039], [3393, 9530], [1559, 4494], [3995, 8632], [7637, 11067], [593, 10565], [3239, 9063], [8791, 10682], [9775, 10852], [1893, 6999], [131, 3529], [4581, 11358], [2335, 7317], [1580, 5721], [3178, 8760], [3541, 6368], [1208, 3863], [9232, 10051], [1147, 5839], [2050, 7333], [2759, 6332], [2669, 3406], [2168, 11526], [3852, 11333], [4463, 9043], [6858, 10174], [1129, 4509], [1096, 2117], [10030, 10970], [2588, 7389], [3054, 5876], [10870, 11361], [918, 6891], [4425, 6657], [3272, 10650], [6321, 6909], [746, 10756], [2124, 9325], [3772, 9475], [3021, 10250], [2240, 10439], [4008, 10691], [5350, 9603], [6912, 9979], [1179, 4572], [3140, 5219], [9017, 11536], [9643, 10278], [2880, 3602], [8736, 11294], [1231, 10397], [5030, 11318], [8051, 11191], [2074, 5424], [4384, 10389], [3262, 9531], [81, 5239], [2376, 5008], [7857, 11325], [2131, 9341], [5892, 9778], [1511, 3217], [3116, 6703], [5703, 10256], [1785, 5671], [3521, 3756], [7667, 8168], [1401, 1544], [1158, 8956], [7875, 8871], [7479, 8871], [4628, 6211], [3858, 9942], [6160, 10882], [2865, 5522], [2139, 2412], [9024, 10771], [5323, 10385], [7219, 10637], [5464, 9866], [873, 8945], [2599, 3336], [5527, 7182], [1392, 11230], [4374, 5513], [2875, 8869], [6271, 8619], [421, 4125], [8553, 11536], [8691, 10746], [5869, 8050], [7949, 10109], [6366, 8856], [2314, 3325], [4339, 5677], [6582, 9420], [1037, 3310], [4870, 9477], [1599, 10927], [4149, 9717], [1413, 6041], [1368, 2134], [11369, 11384], [233, 10840], [531, 3889], [6004, 6181], [997, 3130], [5019, 5786], [3851, 8747], [192, 7806], [3693, 4374], [269, 3330], [528, 4722], [5378, 10041], [5634, 7752], [3166, 11246], [4713, 10590], [7930, 8123], [17, 11373], [4131, 4950], [3064, 4553], [4626, 4929], [5059, 8194], [3161, 7869], [7925, 11162], [1072, 1560], [1570, 5220], [8075, 11106], [3870, 9497], [2590, 5047], [1186, 1847], [2684, 11098], [1997, 7916], [182, 2930], [1938, 6555], [61, 4855], [904, 6298], [6010, 6322], [6538, 8693], [6966, 7450], [1687, 6155], [206, 4455], [586, 3922], [615, 9578], [1332, 7684], [4594, 4990], [5822, 6244], [4604, 9842], [4347, 7742], [5935, 7841], [608, 5374], [2356, 2722], [6619, 10725], [260, 8074], [664, 1519], [706, 11544], [5274, 11515], [6024, 9761], [2962, 3471], [5766, 11223], [2281, 9903], [1291, 11416], [97, 6740], [6038, 6434], [2467, 6094], [1247, 8111], [2240, 6869], [2773, 3168], [2768, 2824], [123, 11344], [4390, 7415], [1310, 6181], [6382, 7375], [819, 9327], [1153, 2033], [6285, 10448], [4516, 9971], [3981, 6429], [1085, 7002], [9510, 11282], [5568, 8555], [1800, 2783], [3598, 5910], [4532, 6717], [4033, 5838], [3097, 8368], [1854, 9435], [3385, 8246], [3003, 7952], [8364, 9249], [4723, 9668], [1731, 1865], [6925, 11158], [970, 1952], [10227, 10492], [2617, 11299], [3059, 5228], [941, 6849], [3031, 10350], [8161, 9270], [5733, 11409], [155, 5159], [4668, 5423], [5072, 9448], [2825, 8969], [2336, 5772], [1097, 4329], [11324, 11478], [5880, 8426], [3822, 7846], [5131, 10028], [2044, 5371], [6275, 11584], [8429, 10374], [4814, 4844], [1044, 9579], [5343, 8571], [7361, 9752], [3875, 7076], [480, 4518], [3532, 3704], [1593, 7542], [2076, 3724], [1068, 4688], [5576, 10270], [1036, 5150], [382, 10776], [5668, 6826], [2871, 11542], [814, 10406], [3871, 9936], [3178, 5808], [282, 10545], [1705, 8133], [2644, 11536], [1775, 8872], [534, 4350], [5112, 11425], [1155, 7666], [2333, 11085], [525, 854], [4881, 9048], [4540, 8755], [8451, 9917], [3793, 11184], [1544, 9878], [2265, 3222], [608, 5992], [7242, 8316], [81, 6475], [10848, 11094], [4031, 7565], [447, 4354], [9760, 9820], [4273, 7098], [1692, 6743], [816, 9324], [7082, 9532], [2326, 10264], [6361, 7520], [2565, 10280], [4865, 10393], [1350, 6979], [5928, 7638], [3275, 5717], [1162, 7682], [635, 10417], [656, 4878], [3930, 9361], [10062, 10535], [5332, 6072], [8599, 9384], [4022, 5917], [3683, 6451], [4488, 5158], [123, 5546], [155, 9965], [2395, 7775], [2106, 7672], [6249, 8403], [1340, 2477], [5665, 9106], [5787, 10035], [647, 7394], [3725, 8555], [2075, 5326], [4538, 4871], [6093, 10492], [1167, 6871], [1506, 6337], [4133, 7037], [1954, 10634], [4583, 7273], [1730, 8674], [2910, 3094], [3524, 10901], [1850, 3114], [535, 9031], [1347, 2493], [10, 3925], [7604, 10529], [4429, 10189], [9809, 11536], [1256, 5758], [2618, 5322], [1646, 1779], [3204, 9583], [5282, 10815], [862, 5080], [7157, 10190], [4569, 8664], [935, 3838], [1238, 1395], [307, 4269], [3670, 7289], [453, 3340], [1791, 11178], [4341, 9968], [669, 8068], [3631, 11498], [3483, 4430], [4032, 5426], [276, 1169], [365, 11040], [1423, 3777], [3009, 8711], [103, 2180], [5772, 8548], [3339, 11097], [9378, 11326], [7509, 9487], [5140, 7325], [971, 5373], [3376, 7192], [2562, 4989], [2930, 9357], [4673, 8613], [2620, 8377], [319, 11045], [2117, 10008], [4548, 6632], [1879, 4178], [4083, 8747], [6602, 7470], [4298, 10621], [5612, 6731], [4566, 4959], [925, 4624], [653, 7134], [765, 959], [2459, 10122], [9334, 11377], [988, 2694], [3673, 7536], [1364, 5425], [9669, 11101], [2857, 10168], [2015, 10081], [2287, 8325], [6218, 10863], [330, 3633], [3573, 6551], [2749, 10076], [4526, 8162], [1941, 3901], [6762, 8482], [2684, 8146], [3969, 10688], [7546, 8564], [2718, 7730], [6955, 11506], [9063, 9197], [7005, 10869], [5114, 5299], [198, 8782], [2839, 9188], [814, 6836], [442, 11394], [8257, 11019], [1037, 6319], [2181, 10908], [2406, 9306], [1845, 10959], [1501, 4733], [3741, 4041], [5196, 10966], [3453, 7546], [4022, 9918], [1339, 9286], [837, 1720], [5035, 9328], [28, 6277], [7022, 8944], [2514, 2608], [4231, 4807], [1613, 5324], [10890, 11133], [980, 1247], [2315, 2398], [1640, 2983], [4786, 8974], [3869, 8548], [4815, 7460], [1942, 3321], [641, 11580], [5388, 6598], [2903, 8957], [485, 10286], [414, 5158], [2183, 6766], [3989, 7502], [2965, 10185], [6067, 8734], [5814, 9042], [9678, 10358], [2080, 2100], [712, 9137], [7307, 7369], [345, 7623], [803, 2085], [4624, 6737], [2198, 4041], [2141, 3507], [240, 2911], [4971, 10982], [7865, 9582], [8331, 10321], [2861, 6048], [5404, 10083], [9638, 10178], [560, 7962], [930, 7495], [116, 4538], [2413, 5134], [1860, 10812], [1452, 9297], [4721, 7020], [407, 3963], [2375, 5781], [67, 6524], [7412, 10172], [2655, 11433], [2906, 8800], [3336, 7630], [2558, 11500], [3293, 4550], [5231, 8411], [5909, 7343], [2980, 9688], [3756, 9909], [5951, 10198], [5438, 8889], [7710, 11118], [4697, 11106], [4837, 6979], [3169, 9560], [3845, 5413], [276, 7398], [481, 8584], [2696, 10279], [757, 7701], [4557, 5060], [6585, 6929], [4554, 4762], [3112, 8652], [8791, 11544], [379, 10909], [71, 6592], [245, 1295], [2645, 3524], [2423, 4643], [6251, 6302], [5573, 7370], [1932, 7789], [4452, 10120], [496, 8461], [3856, 6302], [3104, 10639], [3412, 5130], [4876, 9135], [2479, 11341], [6149, 9408], [1326, 8918], [772, 1162], [708, 10037], [5844, 8772], [1196, 6593], [260, 2707], [6773, 9208], [794, 1860], [1671, 8549], [916, 7707], [4718, 8145], [8694, 10456], [7284, 10097], [4744, 6333], [1877, 9556], [4145, 5250], [6851, 10215], [4836, 9305], [3299, 9925], [7040, 10087], [1498, 3494], [4036, 7185], [6620, 11221], [3211, 11209], [116, 8189], [6031, 10826], [7156, 11201], [7032, 9445], [8427, 11401], [6875, 9461], [3509, 11051], [3068, 7144], [4067, 9100], [3071, 5163], [4650, 8926], [1042, 5321], [5219, 11298], [2504, 8499], [349, 10238], [982, 4489], [2615, 9269], [4215, 6719], [5307, 11118], [2000, 9905], [5357, 10481], [842, 7138], [7870, 9389], [2050, 6235], [7442, 9851], [2306, 8864], [9181, 9365], [7063, 10986], [186, 2488], [910, 8935], [3551, 7089], [5500, 6221], [9641, 10289], [8713, 11182], [1244, 5024], [6872, 10637], [1073, 9114], [10916, 11362], [548, 4008], [3062, 3141], [5496, 5698], [6888, 8137], [8202, 11417], [4972, 10616], [2531, 2724], [8384, 10899], [1383, 4809], [1099, 5050], [204, 3417], [4891, 11216], [2413, 8330], [1327, 7129], [2000, 5717], [5368, 7583], [7542, 9277], [818, 8191], [353, 10306], [2244, 6427], [6402, 10472], [2448, 10394], [3263, 9789], [923, 8365], [5216, 5657], [10539, 11388], [3627, 10251], [3474, 3593], [681, 5045], [452, 3495], [2353, 3337], [512, 3546], [5090, 10621], [6246, 10309], [1630, 6914], [3526, 7166], [2753, 10626], [1194, 3351], [4717, 8538], [7012, 8307], [2, 5137], [258, 9264], [3341, 4353], [2773, 11251], [5636, 7532], [1801, 4702], [8538, 10911], [6790, 7147], [1957, 5215], [4104, 9250], [6853, 10879], [9962, 11353], [960, 9721], [4012, 9661], [6068, 7162], [925, 10666], [3146, 10678], [5013, 5274], [283, 811], [6876, 9550], [7657, 10115], [5164, 5443], [2273, 11278], [1460, 11175], [8617, 9110], [3140, 10082], [8763, 8935], [9723, 10963], [2233, 4682], [1259, 10892], [1701, 11237], [4898, 9646], [1912, 5041], [769, 10476], [1910, 1962], [1202, 6571], [5016, 10806], [4858, 7214], [1599, 3763], [682, 4091], [9585, 11379], [8747, 10280], [6510, 10489], [2002, 8317], [7377, 10074], [5355, 11403], [1329, 4841], [250, 1401], [155, 3793], [7557, 8729], [1991, 3994], [8926, 9464], [6568, 10844], [957, 6366], [55, 1310], [4104, 8795], [3319, 10740], [7206, 7344], [1318, 6530], [5151, 7035], [1130, 7233], [3313, 10925], [9443, 11272], [3068, 3924], [3066, 7261], [2873, 9872], [7797, 11168], [5240, 8955], [779, 3219], [2561, 5813], [4840, 11465], [2679, 10006], [623, 6089], [5793, 10824], [2394, 10776], [1058, 9400], [1486, 7403], [5338, 5706], [3921, 4900], [643, 2927], [5691, 6733], [4033, 9278], [943, 6602], [1206, 5484], [2837, 3775], [1627, 7234], [1563, 9693], [2215, 7404], [6358, 8135], [2493, 9600], [2226, 5284], [1875, 4303], [283, 4462], [1463, 3046], [382, 8605], [5604, 9366], [4017, 10623], [1210, 8235], [9147, 9543], [2858, 8385], [1889, 7769], [6064, 7257], [3034, 9550], [7612, 10209], [3807, 8719], [3652, 5398], [2669, 8082], [3099, 6912], [4374, 8766], [816, 3770], [5116, 8622], [3456, 4705], [9037, 10472], [6663, 7966], [1095, 6568], [2037, 7990], [2813, 8211], [6352, 9767], [9461, 9487], [3432, 3530], [3425, 8775], [1245, 3102], [4194, 5573], [3775, 10285], [2588, 2616], [287, 10946], [1397, 3873], [5218, 8525], [340, 8328], [1651, 4921], [737, 4766], [6903, 7022], [5445, 11133], [4597, 9346], [3814, 5702], [701, 8492], [2392, 5306], [9140, 10950], [140, 3729], [2134, 6768], [2686, 5029], [7486, 10985], [542, 1265], [1266, 4706], [3251, 10665], [203, 5182], [4621, 7838], [4242, 11225], [7884, 7998], [2686, 5379], [6600, 6812], [9523, 10314], [5882, 9979], [4481, 10460], [2423, 3464], [210, 8231], [4917, 10990], [839, 10654], [1020, 7282], [829, 3550], [4452, 8941], [8024, 10637], [7225, 8712], [3975, 8787], [173, 1933], [2729, 10337], [7206, 10190], [6588, 11309], [1801, 10476], [180, 8739], [3948, 8095], [9051, 10854], [6458, 9738], [7917, 9235], [10124, 10315], [7570, 8373], [414, 7630], [6367, 6587], [4037, 10015], [4925, 10477], [4283, 7038], [4954, 9717], [3956, 10615], [2340, 6970], [7670, 8954], [3267, 6606], [3953, 10317], [2554, 10871], [5076, 7613], [3173, 6944], [616, 4731], [7560, 8035], [736, 3335], [958, 11261], [3535, 7710], [369, 5204], [4978, 7428], [771, 8402], [10289, 10890], [3443, 8875], [3572, 4559], [337, 5666], [1206, 1914], [6612, 9400], [643, 2740], [1073, 8740], [607, 831], [1099, 1293], [1322, 3028], [3257, 8870], [4716, 6115], [4401, 7043], [9103, 9458], [6178, 9293], [913, 7704], [3972, 4651], [4211, 4667], [129, 6841], [1409, 2623], [533, 5204], [999, 4445], [4894, 7326], [4507, 10852], [4080, 11539], [1212, 5492], [7932, 9088], [3481, 4040], [2116, 3424], [1026, 5487], [2795, 3712], [6246, 9585], [4518, 11361], [828, 5502], [1304, 5431], [481, 11056], [2447, 5631], [4245, 8758], [487, 8592], [7636, 8164], [2176, 10995], [3062, 8378], [1823, 6935], [1009, 10394], [4849, 7152], [2509, 9892], [10348, 10665], [4873, 5294], [3093, 6910], [266, 3116], [543, 1704], [7222, 9463], [1401, 9871], [6922, 9171], [387, 10990], [843, 5379], [5170, 8671], [7510, 10095], [2059, 5118], [5722, 6932], [4882, 5006], [1807, 8280], [1468, 2398], [4324, 4678], [1120, 11514], [8181, 11239], [1588, 6664], [2766, 10837], [1025, 1828], [467, 2998], [9959, 10681], [2392, 8152], [4064, 6444], [7398, 10978], [10851, 11262], [2291, 10729], [2348, 4847], [2695, 9092], [2196, 7459], [2015, 9333], [1537, 2161], [4212, 5561], [1076, 4395], [384, 9537], [821, 10292], [6614, 7082], [2880, 11474], [1132, 7710], [170, 9019], [10469, 11318], [4084, 9698], [7969, 9639], [10992, 11093], [3063, 7394], [599, 8378], [6486, 11219], [564, 5159], [6032, 7107], [5225, 5321], [7931, 10286], [2205, 4138], [2743, 11361], [214, 11196], [7189, 9649], [1153, 2521], [11108, 11426], [1645, 2229], [3608, 10119], [6130, 6861], [2269, 2810], [3229, 4838], [176, 7679], [5188, 8822], [5229, 5413], [1425, 8312], [8081, 10203], [1517, 4114], [3184, 4314], [2256, 10869], [5991, 10085], [5683, 5768], [3868, 4946], [4425, 5803], [8480, 10851], [4579, 9653], [761, 2266], [5167, 9823], [1039, 10878], [814, 1900], [5510, 10162], [6475, 6872], [1869, 4165], [2557, 8703], [586, 5833], [2805, 11434], [864, 8029], [2010, 7029], [360, 3800], [3857, 10018], [839, 9662], [2606, 7060], [2475, 8297], [6282, 6827], [9112, 10138], [3478, 10372], [9, 5421], [853, 7466], [1777, 3421], [5388, 11461], [3301, 8231], [3808, 9725], [1910, 6394], [6987, 10938], [69, 6603], [306, 5792], [3117, 9053], [7807, 9953], [1931, 10654], [3482, 6707], [2205, 8944], [873, 11474], [7998, 10652], [3922, 11143], [563, 10494], [527, 1415], [5917, 10620], [8589, 10339], [8362, 11114], [1796, 7204], [2238, 8303], [1734, 4074], [1639, 7220], [2112, 3468], [2545, 5979], [1198, 3313], [731, 4601], [82, 10571], [9856, 10016], [2731, 8586], [9339, 11217], [7637, 7798], [4419, 10794], [9183, 9923], [725, 999], [3560, 8818], [902, 2389], [3587, 6477], [380, 3216], [10496, 10726], [937, 2575], [2609, 8781], [96, 424], [1548, 10084], [5720, 9301], [8342, 9657], [1898, 10840], [1234, 5198], [1509, 7123], [7737, 11011], [3413, 11400], [1645, 3197], [2099, 7339], [4072, 9501], [4160, 9348], [4771, 7058], [7799, 8856], [1639, 9798], [2344, 4891], [5391, 5985], [697, 7595], [4580, 7463], [447, 1004], [2811, 2822], [980, 7883], [2188, 3597], [345, 7143], [720, 6266], [441, 6851], [964, 8878], [379, 5973], [2829, 6811], [3577, 11400], [3265, 9593], [4447, 10502], [5756, 11186], [8176, 9903], [3298, 8952], [9170, 11515], [398, 10537], [8899, 9709], [5752, 10663], [396, 3294], [4635, 10903], [9831, 10443], [7615, 8523], [1541, 11491], [2205, 4301], [5051, 5893], [1793, 9460], [788, 3525], [1223, 2699], [1945, 6067], [1286, 7185], [1749, 1991], [2037, 9039], [8467, 9678], [4432, 10170], [201, 3176], [10187, 11394], [2654, 7695], [4858, 5848], [9179, 10823], [5, 6647], [65, 6698], [2460, 4419], [2891, 4605], [2490, 3507], [867, 11523], [5005, 5494], [7399, 9406], [9018, 10316], [3906, 9723], [6218, 11351], [1170, 6047], [4339, 8824], [6271, 8733], [1353, 10635], [1472, 5631], [3937, 8255], [1726, 7433], [5523, 7527], [230, 10306], [1133, 9548], [534, 10717], [9534, 11522], [2132, 11504], [3684, 11192], [8969, 10023], [536, 8511], [8898, 11311], [7716, 10402], [11231, 11564], [4168, 6848], [4412, 7208], [3538, 4200], [4260, 9820], [1125, 5873], [281, 11375], [1702, 8136], [1630, 2783], [4770, 4822], [1767, 5498], [2414, 2865], [208, 8803], [2598, 5426], [6209, 6296], [10100, 10189], [3037, 9637], [296, 7869], [7168, 8853], [255, 1452], [2909, 10391], [1133, 8743], [197, 11273], [2867, 10165], [4618, 7784], [623, 6951], [1965, 5863], [0, 3562], [1438, 6346], [595, 4903], [156, 8239], [1801, 3954], [10512, 11072], [5691, 7245], [6570, 8345], [5629, 6367], [1585, 9025], [1117, 7459], [5881, 10752], [1620, 11463], [10266, 11016], [2446, 4631], [806, 2090], [3357, 10150], [9771, 10256], [363, 7936], [5530, 6738], [1610, 7742], [4103, 5244], [82, 6196], [1888, 2768], [7020, 11183], [6618, 10614], [1578, 11587], [3899, 10325], [1124, 3311], [6938, 8525], [3708, 9976], [4150, 11075], [6041, 10229], [4319, 5434], [119, 4169], [3701, 7307], [1675, 6982], [307, 7603], [7244, 8982], [1514, 9508], [7092, 9342], [4917, 10429], [327, 1839], [3857, 4033], [4196, 4253], [2415, 8677], [2948, 4976], [3732, 9222], [709, 1352], [330, 4739], [8579, 11237], [2319, 8565], [6359, 8417], [8138, 10713], [7047, 9168], [225, 7547], [598, 3591], [6169, 9424], [3830, 10854], [7562, 10553], [9032, 11340], [2267, 10253], [249, 2656], [3038, 3714], [2760, 7153], [8243, 10133], [2013, 6172], [209, 8892], [582, 5690], [1760, 9109], [8637, 11191], [7016, 8700], [4683, 6195], [3434, 4064], [1477, 6542], [1487, 7230], [5702, 8803], [2252, 6538], [660, 9703], [1969, 9633], [4233, 7837], [1970, 6825], [2030, 6876], [5535, 7350], [3019, 8144], [7931, 11335], [5792, 7915], [904, 7030], [1339, 6204], [191, 4879], [4580, 9049], [1485, 9412], [5155, 7479], [2035, 6846], [1959, 2098], [3879, 6908], [5036, 9450], [4131, 11293], [222, 6070], [605, 11470], [4187, 8192], [3283, 8725], [2753, 9691], [6765, 7495], [6015, 6997], [3188, 3203], [3967, 9357], [2193, 10788], [2310, 11373], [5230, 8942], [4243, 7720], [6228, 10673], [60, 1174], [7310, 7968], [9718, 10058], [2705, 8869], [8743, 9627], [1052, 5342], [4935, 5210], [5998, 8117], [5055, 9476], [1825, 10927], [3198, 9152], [1235, 1262], [6377, 10365], [3960, 4779], [6425, 7403], [5371, 11375], [3191, 11364], [6897, 9842], [329, 9269], [5742, 6592], [6521, 10494], [8818, 11090], [2839, 10912], [5927, 9755], [5366, 7998], [230, 8509], [5505, 10062], [371, 1574], [2994, 4784], [650, 10034], [901, 985], [4641, 11125], [4039, 6361], [3014, 8819], [7547, 9735], [8670, 9283], [4322, 5868], [1581, 7510], [366, 4209], [101, 9418], [16, 6836], [3025, 9358], [4752, 8081], [2189, 2670], [8790, 11270], [1030, 9100], [6790, 10668], [4020, 7408], [3956, 9867], [4825, 6115], [4114, 7043], [2397, 2592], [3494, 11499], [1161, 4830], [774, 8356], [2486, 6047], [903, 4040], [999, 10918], [1558, 8438], [2957, 7130], [1004, 11262], [8753, 9109], [8653, 11157], [747, 9162], [7342, 8148], [6977, 7461], [1022, 11087], [318, 354], [1744, 8039], [5219, 5638], [518, 6831], [6722, 9571], [2357, 9959], [4636, 9195], [8516, 8792], [5092, 7748], [1976, 10267], [703, 3578], [5209, 8333], [5566, 6850], [1670, 5996], [954, 10744], [2191, 11360], [7989, 9248], [10105, 10964], [9009, 9829], [4062, 6829], [5115, 5638], [6412, 10469], [6360, 10279], [9803, 9875], [7, 11580], [6602, 9812], [3403, 11330], [2627, 4693], [4769, 7630], [745, 1895], [2864, 10298], [8339, 9253], [3953, 8764], [2356, 9333], [644, 5226], [3735, 10756], [8587, 9732], [1803, 4431], [10168, 10912], [6159, 6209], [4354, 6075], [2264, 8963], [1791, 6299], [299, 10826], [6118, 9591], [4965, 7168], [4621, 7358], [7590, 11205], [1269, 1464], [4438, 8405], [6401, 9125], [7958, 9911], [3166, 10986], [11041, 11416], [3883, 6840], [4313, 6424], [8234, 8274], [1130, 1305], [1821, 5360], [8914, 11416], [98, 6756], [6761, 9818], [1718, 11274], [1816, 8399], [3547, 10304], [9087, 9654], [256, 11479], [8367, 10496], [7467, 8519], [8432, 10891], [1467, 10874], [3986, 10351], [863, 5283], [1212, 10355], [2110, 11505], [2829, 4022], [2204, 3970], [932, 10715], [7065, 11333], [3940, 9602], [7620, 9111], [1638, 3000], [4119, 5403], [1048, 11048], [3578, 11064], [2998, 8503], [5725, 7929], [10772, 11510], [2773, 9324], [968, 2774], [6028, 8869], [2769, 5418], [10389, 10991], [5033, 7786], [308, 3667], [7897, 9927], [457, 7173], [3416, 6168], [4852, 8125], [5468, 11097], [5034, 7607], [3527, 6938], [4316, 5112], [3277, 6763], [890, 9657], [6045, 6190], [4434, 9305], [570, 1573], [2068, 10824], [3250, 5317], [3435, 10732], [231, 4736], [695, 9566], [4614, 11343], [6140, 9810], [1775, 6034], [129, 10094], [7901, 9645], [3481, 3910], [736, 8816], [7957, 9954], [8676, 9641], [835, 1625], [7397, 8799], [6743, 10261], [9699, 9739], [1648, 11527], [1982, 10649], [7622, 11361], [4592, 9490], [10946, 11043], [1326, 2616], [109, 4904], [7273, 10426], [2256, 5933], [6485, 8690], [5616, 6026], [4279, 8212], [3850, 11482], [5717, 6832], [5490, 7607], [6460, 10323], [240, 11214], [10106, 11002], [1668, 9146], [2038, 3761], [4001, 5235], [8011, 10540], [7290, 10780], [4031, 11493], [6261, 10113], [6431, 8804], [8157, 10365], [4112, 6005], [3157, 4321], [6049, 6258], [686, 1882], [5016, 11107], [3994, 5195], [6535, 8403], [2997, 9701], [1562, 10598], [122, 8899], [5046, 10195], [4975, 11483], [2932, 8525], [5229, 9121], [1018, 6943], [2325, 6800], [7089, 10093], [3532, 8705], [1923, 6231], [5627, 10298], [6735, 8060], [3316, 7360], [5838, 10518], [7698, 8107], [7293, 10273], [3556, 3814], [10472, 11486], [763, 6020], [6174, 7434], [1695, 6754], [4403, 6130], [6574, 8307], [1772, 7940], [1682, 11430], [306, 856], [2833, 10774], [2967, 7556], [3402, 6730], [1052, 8001], [7970, 10084], [4813, 6186], [7431, 9052], [280, 2237], [1699, 8751], [1541, 1749], [1821, 4018], [4128, 9466], [8885, 11588], [2753, 8162], [800, 8130], [4626, 6710], [3729, 8414], [5802, 7804], [3374, 3527], [7131, 11392], [10178, 10234], [904, 11112], [9746, 10577], [5859, 7557], [914, 5384], [6707, 9344], [5671, 7506], [1652, 2115], [4519, 8691], [8867, 10608], [697, 10230], [1186, 7011], [2705, 10723], [2454, 6940], [1342, 5272], [225, 4758], [3888, 8070], [1527, 10687], [3757, 9307], [4657, 11284], [6930, 7322], [429, 7971], [4474, 5915], [2667, 4954], [1731, 7484], [7618, 8073], [2265, 10801], [5446, 8677], [6213, 11064], [1287, 6689], [1163, 4933], [2668, 4775], [4531, 9051], [670, 11416], [637, 9024], [2622, 7813], [1378, 6026], [5335, 7533], [4086, 5402], [4953, 7239], [5140, 7065], [1967, 9050], [4357, 9837], [3056, 7516], [2438, 8635], [3276, 9734], [970, 11304], [3186, 6808], [7821, 8001], [851, 3476], [5954, 6989], [1780, 3939], [8932, 10198], [9090, 11538], [5826, 7743], [2371, 4380], [7278, 10233], [2400, 9282], [3546, 4118], [3583, 7383], [5835, 8236], [6381, 8904], [4812, 11521], [2668, 7003], [4872, 11572], [2448, 9703], [7148, 11291], [389, 570], [8330, 9167], [3003, 6700], [4689, 9586], [702, 8614], [9317, 9608], [105, 10610], [2686, 8713], [9910, 10122], [634, 7921], [1995, 3877], [4044, 10787], [2464, 9051], [5671, 5896], [5332, 6430], [998, 1967], [1989, 10478], [659, 2501], [1555, 6988], [684, 10667], [2960, 10386], [2652, 6069], [369, 2927], [434, 3322], [4484, 8026], [906, 5761], [4569, 9827], [550, 4436], [3351, 7009], [204, 3799], [52, 10575], [1449, 9194], [2827, 7763], [4164, 5577], [3978, 6353], [8240, 9250], [2075, 5684], [58, 7357], [10166, 10842], [1570, 4236], [1102, 1916], [990, 1675], [5802, 8422], [669, 6198], [750, 1464], [440, 484], [5520, 8709], [2779, 10351], [4302, 5137], [3935, 10039], [3312, 6650], [7016, 10717], [7202, 7689], [5177, 5337], [4082, 6302], [3079, 7610], [2781, 3981], [164, 8133], [214, 1080], [6442, 11384], [1435, 8333], [4508, 8396], [899, 5320], [1611, 3082], [957, 8708], [6781, 7817], [1774, 4766], [3474, 7358], [3785, 8940], [395, 6726], [6248, 10737], [2599, 4125], [6220, 6437], [3358, 6594], [142, 5499], [5496, 5625], [4799, 8171], [547, 6716], [4463, 8222], [3121, 10064], [4556, 5003], [3771, 6948], [5734, 8422], [1284, 10392], [2564, 7672], [1432, 6880], [4419, 5671], [5387, 7560], [7329, 8157], [817, 5264], [8721, 10596], [3518, 9885], [7969, 8517], [2564, 11055], [6886, 7587], [1502, 8750], [9893, 10036], [8062, 8681], [2616, 8212], [11076, 11547], [8866, 9415], [4229, 11559], [4472, 4901], [5123, 9557], [3352, 8253], [2877, 5516], [1736, 4608], [2758, 7514], [7986, 9975], [3339, 7267], [3836, 8073], [7483, 10852], [1566, 11552], [6055, 6504], [8264, 11417], [5027, 9445], [9652, 9950], [1405, 7662], [5756, 9096], [9649, 9652], [1810, 2463], [8375, 9154], [3767, 5620], [3084, 6344], [11041, 11310], [2894, 6220], [4451, 6252], [9270, 10006], [767, 10007], [705, 9129], [872, 1133], [5070, 8741], [1737, 6307], [3362, 11169], [4135, 5457], [1234, 5686], [1483, 8642], [743, 8832], [5223, 5950], [2375, 3561], [5437, 9851], [9229, 9601], [4589, 11447], [4656, 7007], [6383, 11422], [7694, 8015], [8191, 8821], [4927, 5026], [1219, 4223], [4615, 9635], [5492, 10662], [538, 10655], [1735, 5456], [747, 1380], [271, 11250], [1018, 6569], [8022, 9924], [5904, 11545], [2098, 7201], [5587, 9394], [2383, 3398], [2350, 7422], [8726, 11208], [4407, 6279], [16, 7698], [2962, 6488], [1729, 8243], [8637, 9638], [796, 8038], [2635, 7002], [4710, 9471], [130, 1569], [2590, 7259], [3985, 9215], [1779, 4573], [3649, 10020], [4263, 4995], [1465, 6103], [3870, 8676], [3275, 5083], [6876, 7517], [620, 8751], [5358, 6659], [2304, 4394], [11111, 11220], [9020, 10500], [653, 8110], [7091, 8610], [364, 1591], [5503, 6259], [1242, 11134], [10287, 10958], [6925, 10792], [3685, 5139], [1109, 5128], [636, 2464], [4326, 9077], [5754, 7009], [1050, 7931], [1229, 3732], [7154, 9309], [4403, 11017], [7863, 8308], [2598, 6719], [325, 4265], [734, 9388], [9851, 10778], [9450, 10434], [2100, 6442], [1322, 9558], [4550, 7280], [7478, 11126], [3190, 7762], [6493, 10731], [4970, 9529], [5949, 10109], [5799, 6378], [4328, 5366], [3216, 5950], [5793, 6563], [1997, 9323], [2685, 3281], [3638, 8302], [3732, 7937], [2310, 6787], [3134, 9708], [278, 1012], [2697, 9707], [4481, 8964], [176, 2987], [1788, 7644], [1041, 5909], [7276, 10968], [3790, 8292], [3282, 9579], [119, 10000], [7211, 9038], [7889, 8724], [7359, 9690], [4962, 5480], [5982, 8313], [882, 8481], [4208, 9744], [3345, 10278], [9694, 9989], [1043, 2922], [8598, 10352], [4398, 9087], [6144, 9772], [2369, 6993], [3831, 10171], [4359, 6126], [9071, 9983], [4080, 7465], [6074, 7498], [5573, 9956], [4983, 6707], [10060, 10497], [748, 8639], [8833, 9845], [9583, 11097], [8557, 10701], [2764, 6741], [116, 5164], [249, 1721], [1178, 4436], [2303, 8975], [8516, 11077], [553, 2132], [3755, 5049], [2724, 4309], [4936, 8739], [2637, 11480], [2785, 7968], [1114, 10278], [2105, 8209], [3509, 4993], [3034, 8672], [3476, 9771], [1757, 10909], [2660, 5987], [3501, 10767], [6357, 6631], [725, 9944], [1032, 10626], [879, 962], [2023, 5551], [1028, 10884], [1468, 11156], [3137, 5013], [9279, 9881], [278, 8851], [5603, 11245], [7535, 10400], [10709, 11269], [1870, 4905], [3131, 10833], [6959, 10240], [1572, 7722], [833, 10766], [1110, 9354], [9919, 10591], [2479, 3673], [362, 8148], [3932, 9017], [8476, 10846], [2569, 9982], [2658, 8519], [1223, 9416], [5932, 6586], [7978, 9815], [6383, 7047], [1257, 9000], [6978, 10640], [8514, 10549], [8502, 9034], [3932, 5984], [7920, 9810], [2271, 4848], [4176, 5563], [10387, 11002], [5160, 6487], [5414, 7535], [2420, 5321], [7086, 8079], [7032, 11226], [3047, 11081], [1759, 3360], [4979, 10990], [5910, 8116], [922, 11531], [17, 2794], [7988, 10102], [555, 3601], [646, 3719], [2726, 5778], [11031, 11454], [2700, 4557], [1454, 6107], [7230, 7454], [1698, 8719], [2138, 8991], [1450, 2201], [2214, 7323], [1756, 5691], [5713, 10204], [606, 3539], [4964, 6144], [3873, 4599], [2006, 10003], [3150, 8176], [1720, 3001], [1847, 9192], [3717, 9721], [374, 7353], [4804, 5108], [3302, 4783], [7727, 8610], [1091, 3961], [2987, 3459], [745, 2570], [6825, 9970], [1902, 5866], [4880, 9075], [2306, 4229], [8929, 10144], [3446, 4912], [6663, 8861], [2516, 10640], [336, 4967], [7686, 8959], [5320, 6314], [4697, 7089], [4542, 10184], [10201, 10946], [7395, 11412], [3561, 11436], [3788, 4245], [1293, 10080], [10162, 11368], [3161, 8284], [3643, 7304], [1996, 4346], [7942, 8548], [5462, 8999], [2714, 10224], [1188, 9505], [1594, 3777], [3743, 7885], [6953, 11417], [1774, 2432], [6784, 9164], [8062, 10535], [1343, 3377], [7103, 11361], [3051, 3578], [5726, 9230], [6745, 6957], [939, 8397], [1082, 10957], [1954, 10886], [4447, 8388], [1897, 8100], [5720, 9415], [7707, 9031], [236, 6964], [2288, 6975], [6305, 9287], [9976, 10962], [3400, 9774], [1452, 3670], [6185, 7650], [1342, 5784], [5423, 5637], [8578, 8708], [8478, 10756], [2726, 7551], [7788, 10309], [2674, 6637], [3804, 7356], [153, 671], [2551, 7735], [7623, 8929], [1315, 3557], [4073, 9466], [5445, 9718], [1155, 9691], [2607, 5765], [1741, 2618], [1326, 10512], [560, 4563], [2234, 5934], [4448, 4775], [5148, 5186], [7279, 8688], [2283, 5826], [4522, 5663], [5273, 7517], [6795, 11500], [2206, 3512], [946, 7608], [10875, 11128], [3241, 7377], [1565, 10097], [552, 3547], [6076, 8780], [2517, 11483], [5497, 9103], [242, 1786], [902, 4276], [4823, 6126], [4658, 8533], [6380, 6912], [3386, 11114], [6619, 9180], [2758, 4375], [1331, 10051], [6131, 8837], [6238, 9488], [665, 7746], [6117, 11413], [1009, 1140], [5059, 5844], [5520, 6993], [5845, 6753], [1447, 11165], [5860, 7061], [2035, 4919], [4800, 7835], [3473, 9955], [3686, 11002], [9546, 9768], [4082, 4586], [5238, 10690], [2978, 9195], [7675, 11266], [7639, 9357], [8683, 10332], [185, 4261], [4235, 4801], [8032, 9059], [9162, 9778], [4274, 8139], [7849, 10106], [4862, 9063], [712, 745], [469, 987], [904, 915], [5387, 10382], [6934, 10480], [4043, 11397], [342, 4595], [8308, 11559], [9180, 11488], [949, 9733], [4823, 5321], [1700, 7423], [1693, 10416], [49, 4723], [5776, 10315], [1853, 4632], [6149, 6359], [2405, 5145], [2188, 7362], [5, 1418], [7661, 8900], [2843, 8754], [4670, 4705], [5896, 11548], [1342, 9785], [2556, 8697], [94, 4092], [226, 5709], [9190, 11021], [5114, 11512], [8185, 11502], [10156, 10585], [1775, 5099], [1966, 2415], [1297, 2845], [3726, 9222], [6038, 10850], [716, 6475], [5537, 6892], [1796, 2943], [5430, 6271], [5567, 8232], [4514, 10177], [3196, 9407], [7836, 10944], [2952, 6014], [8325, 11108], [2664, 9519], [7182, 9373], [2540, 4757], [2598, 4735], [9869, 10154], [6367, 6945], [4516, 6466], [2211, 10890], [9802, 11561], [1474, 10597], [2486, 7153], [5037, 8797], [1867, 10299], [2280, 6496], [2405, 11106], [1055, 1753], [2548, 7250], [2734, 3468], [7529, 9080], [1274, 6752], [3269, 3977], [1927, 5819], [5323, 11231], [4253, 11317], [216, 4566], [10269, 10596], [1608, 2841], [2327, 5938], [2105, 3647], [637, 6316], [4563, 8510], [1380, 4145], [555, 7415], [168, 10941], [1269, 6758], [1164, 8462], [2976, 3351], [293, 3473], [3775, 10911], [2567, 8781], [444, 2888], [108, 10109], [792, 3571], [4993, 8444], [2968, 6092], [850, 7713], [4705, 11195], [1314, 6127], [4144, 7186], [5040, 7509], [1965, 10783], [5255, 9383], [3321, 6395], [5879, 11462], [6624, 10118], [2240, 6292], [6009, 10754], [2836, 6323], [1895, 8509], [675, 11280], [6721, 7018], [10045, 10864], [618, 4330], [2015, 7113], [4687, 6832], [2789, 5753], [9053, 9298], [1789, 4326], [2500, 9033], [258, 8898], [1693, 8001], [1412, 7759], [4710, 4722], [937, 2770], [4744, 9968], [4245, 6083], [795, 10234], [3498, 11518], [4083, 8007], [6015, 7916], [225, 3473], [5067, 5144], [466, 3535], [6467, 7444], [834, 1487], [8999, 11290], [427, 6990], [2235, 11559], [1984, 3612], [1358, 7499], [7620, 10217], [2597, 8161], [975, 1318], [8336, 8852], [4028, 10528], [4181, 10770], [3718, 9548], [1420, 10979], [820, 7042], [5214, 11556], [907, 3254], [197, 11200], [5359, 5494], [2114, 5159], [7294, 11336], [10955, 11569], [2371, 6478], [181, 5779], [253, 8099], [5628, 9102], [2262, 5030], [3072, 10497], [8035, 10967], [3913, 4697], [4235, 10575], [2704, 9512], [23, 5543], [3787, 9661], [2045, 6843], [4500, 8779], [290, 6072], [2695, 8645], [699, 11195], [6829, 11542], [5707, 10684], [757, 8921], [260, 1699], [9098, 10090], [1541, 9003], [7697, 10571], [8129, 10228], [1324, 4050], [2064, 8024], [3648, 6469], [3935, 9909], [2997, 5196], [566, 2156], [543, 6868], [2687, 4216], [2150, 7017], [5049, 5961], [8034, 10341], [3146, 8702], [2619, 5775], [5630, 9124], [8281, 10218], [819, 5985], [7591, 9771], [2853, 5447], [4882, 10170], [7879, 9649], [8985, 11502], [4360, 5335], [872, 5996], [1335, 1556], [1486, 7387], [9946, 10722], [1106, 1504], [3253, 4785], [6434, 6825], [10386, 10994], [4128, 9149], [1110, 2377], [389, 1863], [237, 2223], [4215, 5361], [4371, 11536], [846, 3270], [603, 10682], [4395, 10432], [4126, 5289], [1781, 7685], [1805, 5827], [4050, 6233], [7004, 9048], [6670, 9926], [3373, 10155], [10193, 10949], [3837, 8569], [5850, 9406], [2338, 5509], [3124, 6418], [2809, 5094], [2704, 7552], [1057, 10256], [591, 2347], [6821, 7062], [7065, 9674], [3271, 6845], [2696, 6156], [953, 6900], [896, 6366], [3544, 7943], [7957, 10255], [7931, 9034], [7251, 9275], [1826, 4021], [2383, 11294], [1977, 4190], [9948, 10744], [2637, 5926], [11, 8834], [1477, 3086], [2414, 9826], [1442, 10447], [477, 905], [8083, 9778], [4781, 9663], [137, 10636], [4094, 5727], [2403, 3251], [658, 3168], [508, 5853], [2842, 9714], [478, 1480], [1307, 6997], [1927, 10088], [1247, 9575], [6259, 7308], [443, 8060], [2728, 11305], [1088, 2348], [6196, 6205], [2118, 10033], [583, 900], [7403, 8864], [1233, 9118], [7311, 9275], [4090, 7836], [4279, 10741], [2417, 9319], [5901, 11168], [51, 10838], [3007, 6906], [10, 4421], [8146, 9322], [82, 325], [2630, 3950], [4899, 8914], [71, 1664], [10163, 11032], [1158, 3467], [9036, 9830], [638, 957], [9915, 10930], [7545, 10795], [9405, 11390], [9381, 10996], [5738, 10588], [3152, 9889], [6442, 8489], [7047, 10518], [967, 3118], [1135, 11562], [3649, 4279], [1975, 2908], [2207, 8169], [3521, 11449], [4044, 4054], [4427, 10208], [1436, 5259], [4915, 6764], [2332, 10500], [3380, 8211], [2325, 9329], [8923, 11242], [6841, 8356], [5134, 9511], [523, 6460], [1142, 1779], [9013, 11135], [111, 1039], [5840, 7458], [1912, 3683], [363, 7676], [2323, 3217], [456, 7867], [1199, 1532], [1722, 7723], [2379, 5778], [950, 8375], [4434, 10224], [6762, 10133], [2898, 8036], [749, 7338], [6177, 6447], [2216, 5198], [1039, 4633], [1591, 11562], [6701, 9076], [99, 3257], [4605, 8012], [5163, 10225], [1835, 2473], [3543, 9090], [3388, 5015], [4198, 10482], [6032, 9856], [5626, 8414], [5841, 6124], [1789, 11173], [7434, 8819], [5686, 9219], [3237, 11235], [4669, 5903], [5862, 10384], [2814, 4901], [7423, 11289], [2566, 4799], [670, 5301], [3650, 5173], [1905, 9254], [2244, 2304], [3644, 4604], [2123, 4229], [1780, 7273], [1009, 8150], [4612, 4995], [5453, 5611], [7383, 11109], [410, 651], [186, 943], [3200, 10979], [1307, 10998], [1873, 7437], [1990, 8022], [6348, 6463], [491, 11378], [1088, 2966], [4787, 6689], [215, 3566], [2419, 7381], [1171, 1688], [391, 11147], [1170, 8633], [275, 7000], [430, 4659], [6433, 9395], [8513, 11454], [27, 6898], [10003, 10264], [6594, 10252], [1428, 3007], [2141, 8541], [2700, 10225], [6559, 11197], [4188, 8208], [4563, 7331], [8945, 11084], [9125, 9739], [7485, 11362], [2530, 4337], [2494, 8844], [539, 1569], [6550, 10330], [662, 9516], [2181, 7566], [5660, 9071], [596, 5486], [219, 2530], [10700, 11481], [7687, 10715], [5440, 10236], [5192, 10134], [7649, 7979], [6752, 10437], [4978, 5452], [2330, 3875], [5093, 9374], [1542, 6303], [1619, 8967], [1514, 10671], [4877, 8029], [1582, 2669], [2454, 9014], [701, 4906], [2910, 9819], [2503, 8906], [3783, 6186], [6107, 8605], [73, 2304], [4744, 5406], [7020, 11541], [327, 9768], [1325, 8116], [4246, 5129], [7396, 7856], [1044, 2212], [349, 667], [6881, 11382], [6449, 9473], [35, 2951], [3675, 5313], [2954, 8963], [5863, 8595], [1842, 9547], [595, 1073], [245, 2946], [6786, 11495], [1557, 9563], [1252, 9681], [3227, 7028], [118, 5056], [2291, 3142], [341, 375], [86, 5518], [1889, 8989], [1524, 10554], [2290, 3671], [6283, 7841], [7988, 10777], [3721, 7536], [2132, 5714], [5564, 11537], [9502, 11112], [10184, 10917], [1811, 10210], [4581, 6300], [3645, 8830], [405, 3177], [9384, 9521], [874, 6099], [6634, 7667], [221, 3999], [56, 6406], [3512, 6207], [6256, 7492], [3792, 8476], [7030, 11050], [3174, 9595], [6699, 11445], [8174, 9223], [4727, 6475], [4658, 8590], [2891, 4776], [4472, 5202], [4759, 8642], [6402, 10700], [6247, 6625], [9576, 11569], [108, 2782], [925, 2250], [1140, 6376], [5173, 6188], [10348, 11267], [1633, 6659], [10311, 11385], [6391, 10137], [5670, 10377], [2905, 7461], [7175, 10219], [1024, 8271], [6161, 10614], [8771, 9455], [6570, 9321], [4696, 7138], [2294, 8246], [556, 5924], [2648, 3082], [1300, 10771], [6251, 9726], [1265, 7552], [1602, 3939], [3231, 6291], [1240, 2769], [362, 9441], [1200, 10540], [2757, 4156], [7083, 9475], [4375, 7847], [5268, 8653], [6580, 8854], [3770, 9201], [1774, 5335], [1472, 8380], [94, 4149], [1090, 1670], [5386, 9813], [1532, 2769], [7158, 7555], [1714, 8667], [2677, 3796], [629, 11074], [7406, 8788], [7497, 8152], [1645, 2831], [8835, 9574], [7273, 9198], [1584, 9725], [796, 1573], [5596, 7529], [4911, 6672], [10888, 10941], [7992, 11514], [4935, 5568], [4162, 9028], [1323, 10889], [6173, 6786], [1635, 2493], [3866, 4721], [9540, 11433], [3064, 4033], [3683, 5768], [4117, 5471], [3177, 4095], [5818, 8665], [987, 4150], [685, 3031], [2560, 8822], [9111, 10919], [1745, 6394], [2356, 8268], [360, 10818], [5726, 8295], [1089, 11193], [8644, 11453], [2818, 5855], [5278, 7381], [1166, 5963], [7267, 7824], [1086, 3725], [580, 5839], [7369, 11484], [1728, 11301], [10090, 11095], [813, 1122], [1093, 3391], [2715, 4572], [688, 5557], [10, 6625], [3747, 6668], [7601, 9548], [6255, 7484], [2313, 4757], [1902, 2971], [1662, 9900], [93, 5347], [3768, 4512], [662, 1303], [2544, 3377], [2244, 9501], [2086, 2499], [1678, 6646], [4943, 7633], [7936, 10376], [5840, 9312], [6472, 9000], [421, 7256], [3232, 4101], [4027, 7782], [543, 1769], [5988, 8429], [6423, 8357], [4463, 10564], [9406, 9658], [1100, 10173], [1762, 9326], [9035, 11408], [3309, 8670], [1351, 7540], [1559, 1827], [189, 1621], [7902, 9637], [10742, 11384], [9721, 11332], [2741, 6119], [10203, 11106], [8527, 8908], [4286, 5390], [9526, 10864], [1620, 2453], [2401, 3018], [1802, 8351], [2511, 6596], [2299, 9157], [4066, 6555], [865, 6492], [3287, 6036], [3132, 8377], [293, 1570], [3575, 5914], [2422, 4245], [5335, 6305], [3504, 7202], [5777, 7404], [1792, 3849], [2602, 9316], [9130, 10490], [10291, 10522], [4866, 10930], [5120, 8568], [1166, 7736], [3068, 11186], [2101, 7987], [2908, 7521], [4983, 9236], [3023, 7279], [9967, 10583], [3084, 8686], [1030, 11231], [3265, 3779], [2050, 6894], [9484, 9833], [3536, 8968], [5755, 11536], [337, 6699], [7173, 11409], [112, 1104], [5808, 11547], [581, 6278], [3470, 4534], [5765, 8467], [3216, 6869], [428, 2279], [2735, 3563], [4801, 5916], [1000, 1916], [67, 10379], [3914, 7584], [1235, 6694], [2675, 6141], [7372, 8212], [4282, 6290], [2889, 4380], [733, 8927], [3788, 8384], [3910, 7815], [522, 1510], [5126, 7554], [8209, 9059], [3531, 4786], [418, 6822], [2510, 11150], [4781, 10525], [3315, 3441], [818, 7695], [9997, 10717], [358, 10154], [4023, 7877], [7333, 8607], [10150, 10959], [8407, 10922], [7714, 10958], [499, 6602], [530, 1751], [2025, 7321], [6068, 10854], [5104, 9084], [678, 5032], [1464, 5941], [5688, 7600], [6309, 10916], [5497, 8786], [7775, 11584], [6658, 8818], [2693, 5915], [5155, 8268], [857, 4216], [6782, 9793], [170, 9702], [3043, 7425], [6114, 6661], [4870, 9038], [518, 10385], [1445, 10021], [6801, 10974], [10069, 11478], [5669, 6395], [9336, 11334], [4523, 11532], [6667, 8880], [7782, 8567], [2527, 7666], [6255, 9875], [5876, 6846], [3238, 10121], [3293, 9828], [1550, 10572], [354, 4288], [8490, 9189], [6608, 7145], [9820, 10750], [3278, 11398], [1199, 5777], [3754, 4911], [7916, 9856], [6789, 8654], [2871, 4069], [357, 5690], [1441, 5310], [1000, 5567], [4895, 6950], [3487, 5506], [3268, 4644], [4520, 10456], [7064, 10929], [6723, 10636], [892, 4694], [5902, 11426], [6808, 10185], [922, 6034], [2047, 10573], [2102, 3864], [1057, 5670], [1076, 9884], [1272, 7544], [1795, 9571], [1482, 4910], [9578, 10412], [6390, 11365], [980, 7143], [3913, 11333], [4093, 9988], [625, 2256], [258, 7158], [6082, 10431], [3749, 3762], [2278, 2750], [166, 7569], [2504, 8166], [436, 2734], [3271, 10553], [317, 1322], [2808, 9331], [1440, 5034], [2307, 4619], [2207, 7421], [1909, 3792], [6914, 10180], [4508, 8136], [3671, 10645], [7525, 11273], [2666, 8874], [372, 1379], [3173, 3952], [515, 933], [7221, 7829], [4100, 10004], [4074, 8783], [1230, 9546], [1980, 10798], [490, 9736], [7305, 10186], [2172, 4552], [7454, 9528], [5721, 10960], [1969, 3469], [1791, 11276], [6449, 7757], [9537, 9606], [3990, 9085], [6083, 9097], [1914, 7145], [5711, 7239], [916, 2381], [4456, 6791], [7288, 8677], [7014, 9606], [507, 641], [1845, 8479], [4608, 7562], [2531, 5774], [7073, 10186], [1378, 3351], [3761, 9383], [1531, 3593], [1469, 2715], [9024, 10145], [29, 9684], [1336, 9541], [1337, 10143], [4391, 6746], [4139, 4990], [2171, 3926], [5598, 8651], [834, 5358], [6654, 11141], [4401, 5929], [5474, 10278], [2189, 11298], [5828, 10806], [6650, 11372], [2913, 4913], [3182, 8521], [5683, 10802], [3813, 6109], [234, 7406], [535, 10552], [1445, 6801], [1008, 10964], [4764, 10303], [1314, 8038], [3334, 10046], [3108, 7259], [9406, 9634], [8248, 9119], [7226, 10377], [4671, 4827], [460, 4901], [4854, 7163], [2827, 11154], [1210, 3901], [828, 7771], [9114, 9233], [3290, 5960], [7713, 8960], [6135, 8051], [3358, 10790], [7095, 10079], [10761, 11410], [1614, 11309], [336, 4276], [177, 9881], [507, 5097], [1267, 11201], [4144, 7942], [8824, 11507], [5865, 6096], [2685, 7664], [682, 6791], [7230, 9341], [1814, 1921], [2151, 6976], [2675, 3189], [307, 4635], [2218, 5165], [9840, 11565], [3140, 5211], [3365, 7773], [3790, 6259], [3139, 11402], [2834, 10766], [1461, 6879], [4415, 9694], [6739, 7949], [1544, 5601], [4837, 7882], [3968, 5218], [8883, 10932], [416, 11344], [1763, 7594], [2281, 2861], [1250, 8537], [6554, 9300], [1356, 8933], [6542, 11168], [6537, 10824], [1895, 2044], [7045, 8756], [4674, 9931], [7659, 10901], [7755, 10609], [214, 7049], [3106, 4822], [4136, 6091], [2102, 5905], [4311, 10818], [5973, 9146], [1394, 11268], [124, 7506], [4286, 6789], [81, 4426], [1046, 7552], [422, 10354], [3375, 3899], [8665, 8736], [4563, 8006], [2794, 10535], [1576, 6963], [5330, 10393], [2167, 7404], [5491, 11250], [6140, 9444], [1420, 5669], [2230, 11136], [1041, 6804], [4639, 6311], [2092, 11202], [1376, 9534], [9559, 10117], [10488, 10580], [1816, 9806], [7793, 9157], [3361, 8323], [4491, 6790], [4608, 7375], [8625, 9687], [903, 10253], [2343, 5536], [5815, 10034], [2153, 9576], [302, 1927], [683, 11418], [5590, 10855], [2763, 7815], [1323, 1952], [2673, 4889], [1711, 5444], [3110, 4890], [307, 6408], [4189, 4920], [4904, 10527], [2391, 8586], [1918, 6676], [4722, 8766], [2943, 9853], [5799, 11379], [2664, 10438], [4149, 8904], [8920, 9204], [8758, 8876], [974, 1394], [6149, 6473], [920, 10957], [3832, 10136], [506, 9627], [1368, 4704], [6259, 10024], [7384, 8147], [6883, 9851], [3669, 5419], [8215, 10704], [1641, 2769], [552, 2051], [5154, 7268], [9887, 11248], [3207, 10434], [7147, 10082], [6901, 7397], [5837, 9927], [1833, 6322], [7643, 11417], [2908, 6610], [3153, 5660], [2158, 10993], [756, 1450], [637, 10618], [3705, 3921], [600, 4320], [6582, 11185], [4648, 8197], [3870, 5651], [3641, 5599], [9033, 9215], [1748, 9782], [5512, 7484], [4292, 10255], [4328, 9912], [3901, 10599], [23, 11105], [1685, 2263], [613, 1522], [1423, 6989], [7317, 11001], [8083, 10534], [10369, 10941], [1049, 2052], [6804, 9692], [592, 10444], [2053, 4352], [3042, 11282], [4904, 5534], [458, 830], [9043, 9529], [636, 9238], [1660, 3145], [579, 8704], [1632, 7513], [1790, 8853], [948, 3848], [2624, 6046], [7018, 10560], [204, 6548], [1383, 1524], [5605, 6520], [5993, 6602], [286, 2416], [3860, 10574], [4418, 7869], [2866, 5929], [4698, 10138], [3540, 8125], [7344, 9390], [52, 8786], [3321, 6509], [8835, 11054], [6125, 8599], [858, 10347], [457, 10003], [4504, 4610], [4949, 10888], [6625, 6670], [2353, 3085], [5503, 5812], [276, 6959], [1581, 3737], [2673, 8890], [944, 2924], [4151, 6185], [1348, 6949], [1167, 8823], [5957, 6921], [2839, 2951], [6541, 10355], [5362, 8963], [4801, 10616], [1038, 9352], [1902, 5256], [281, 7683], [3832, 10754], [4424, 8414], [1970, 3670], [2501, 9722], [1876, 7418], [350, 2535], [1750, 11251], [1217, 8536], [4208, 10452], [5887, 11413], [1704, 7119], [685, 7894], [2736, 2799], [6252, 9821], [3162, 4893], [2518, 7043], [5873, 10956], [4505, 6659], [1678, 2865], [4229, 10925], [3474, 5919], [2913, 7572], [1011, 3341], [10169, 11148], [919, 10168], [5587, 7337], [3312, 10472], [8226, 11080], [1230, 5334], [5299, 10088], [201, 1257], [2028, 2870], [1946, 11139], [5021, 5613], [2099, 11381], [7599, 11332], [8370, 11209], [2339, 10087], [9870, 10707], [1559, 10878], [3429, 5745], [3212, 7208], [6321, 7682], [4413, 5915], [567, 9312], [2023, 2876], [8520, 11153], [3010, 3317], [3192, 9215], [6862, 7282], [6034, 7625], [1865, 4919], [4224, 6393], [3169, 7511], [3503, 6633], [4341, 7732], [2913, 9800], [8089, 11317], [4013, 5392], [708, 5760], [1606, 6910], [2409, 11206], [4274, 9139], [7173, 8083], [459, 8439], [3744, 6695], [753, 8162], [2626, 6710], [8004, 11394], [170, 5303], [5433, 6065], [1291, 1772], [599, 11078], [1900, 2819], [568, 5349], [9644, 10902], [6003, 10567], [153, 411], [5474, 10977], [4364, 5218], [8221, 10281], [401, 3142], [2019, 10997], [3478, 10494], [5195, 8529], [5661, 7770], [1175, 10083], [246, 3204], [3912, 10951], [3697, 6825], [4440, 11070], [3352, 9042], [2729, 9817], [539, 5708], [5181, 7318], [2230, 8184], [2195, 9883], [5366, 7071], [10088, 10138], [6416, 8992], [1963, 3117], [7622, 8043], [1381, 10309], [5462, 10162], [668, 8158], [372, 468], [4921, 6805], [526, 10734], [5414, 10121], [2647, 7132], [4768, 9192], [3538, 4859], [7843, 9301], [2726, 8364], [773, 1162], [419, 664], [2101, 8312], [3324, 9222], [2751, 2944], [10844, 11181], [4001, 8683], [9513, 10149], [4553, 6944], [857, 7656], [1839, 6999], [70, 9528], [4531, 8848], [1881, 10608], [76, 10474], [6984, 7705], [4275, 8104], [6073, 11231], [135, 11054], [4361, 7124], [1566, 2087], [7011, 8747], [8305, 9897], [8086, 9035], [190, 7728], [4230, 7580], [3698, 7719], [1645, 9735], [52, 7794], [2138, 7389], [5875, 6678], [3167, 5050], [5309, 7987], [3261, 11101], [3669, 6200], [4280, 10326], [7306, 9045], [10069, 10380], [3228, 8709], [293, 7856], [2972, 4582], [9019, 9590], [758, 9124], [207, 11465], [8331, 8435], [3381, 5918], [1751, 10511], [1684, 2873], [4400, 9280], [8254, 9908], [4850, 9516], [590, 1030], [6379, 7500], [3201, 9141], [6045, 8378], [1580, 5152], [1428, 7764], [51, 9797], [2485, 6692], [2702, 8612], [2480, 9731], [1666, 6774], [3968, 5462], [4224, 9589], [3262, 6734], [2503, 8402], [4810, 9686], [8604, 10263], [6990, 8943], [5517, 7104], [9059, 10843], [2070, 2104], [2345, 4029], [757, 2432], [5447, 9748], [4798, 11554], [7597, 10294], [935, 6676], [6855, 9657], [1241, 7914], [7808, 11268], [5356, 6597], [657, 1447], [7912, 8585], [3454, 8782], [6004, 7572], [4861, 5837], [6941, 7896], [7063, 7327], [4881, 7243], [7155, 10299], [5622, 8409], [147, 9454], [10785, 11219], [1368, 10291], [2108, 3685], [2328, 5903], [7837, 10104], [6531, 6685], [2021, 10856], [8704, 9689], [5870, 11140], [4029, 11349], [1737, 11097], [10670, 10680], [9605, 10356], [1505, 5112], [53, 2622], [47, 9223], [3094, 10317], [7884, 9169], [3288, 11314], [1793, 5744], [4559, 11514], [5526, 8297], [8162, 8359], [3613, 6186], [4712, 5340], [1196, 4707], [6977, 7152], [910, 10537], [8090, 10176], [4712, 8723], [2959, 4615], [1025, 2381], [4930, 10114], [5140, 7480], [3389, 4199], [155, 1744], [2894, 3439], [5700, 6356], [1925, 9993], [63, 9325], [3205, 5021], [5541, 11207], [2422, 4383], [2616, 11042], [2544, 3060], [873, 1960], [1554, 10989], [1088, 3080], [463, 3028], [4702, 10637], [481, 7771], [5847, 6002], [978, 8577], [24, 9747], [4286, 6228], [9573, 11548], [4346, 6279], [951, 9383], [5030, 6911], [3815, 10026], [5372, 10058], [4025, 6638], [1203, 10358], [107, 2053], [5024, 8594], [4222, 7906], [9258, 9443], [10937, 11158], [326, 7052], [35, 3870], [3739, 7937], [1817, 2300], [972, 4194], [1032, 11415], [8537, 10060], [6231, 8220], [2236, 7387], [7442, 7615], [4333, 4889], [10649, 10876], [4670, 8446], [4828, 4868], [4735, 8841], [7865, 10192], [1056, 6524], [3568, 8240], [2898, 9923], [6742, 9109], [1582, 5816], [2761, 6427], [1603, 10076], [8184, 8602], [1541, 9198], [3258, 4227], [3161, 7300], [1012, 6602], [1695, 6632], [6994, 7051], [578, 10282], [146, 4209], [106, 11226], [1315, 9794], [4092, 7809], [7724, 9556], [1796, 10067], [3503, 7414], [7135, 9161], [7164, 8401], [8793, 9999], [5703, 8077], [6195, 8539], [7819, 9793], [1444, 9615], [716, 5678], [4771, 10726], [1531, 11489], [3794, 6839], [965, 2218], [7539, 10907], [4725, 7348], [3572, 11341], [8433, 11534], [553, 4344], [5563, 7666], [2972, 6623], [7118, 11035], [9110, 10995], [617, 5268], [6592, 8710], [10719, 11190], [1856, 10848], [3535, 5393], [6233, 7087], [3874, 5613], [6541, 11404], [200, 9302], [3376, 10998], [2929, 10309], [8233, 11072], [1251, 11448], [3517, 10479], [9041, 9296], [1283, 1537], [474, 5340], [1630, 11444], [3045, 5007], [4357, 10870], [5828, 6220], [2748, 4232], [6128, 9141], [4113, 7477], [4359, 4500], [2609, 10489], [3540, 8369], [4572, 5547], [1650, 5653], [1426, 3693], [1548, 5376], [2632, 2744], [2511, 11085], [1267, 9298], [8108, 10969], [3939, 9017], [7991, 10384], [5093, 7878], [2235, 9689], [979, 5633], [3103, 7964], [9034, 11134], [701, 3410], [7490, 9055], [2657, 7877], [7359, 10292], [2125, 3852], [2560, 10196], [5428, 7575], [9354, 9769], [3623, 7441], [3492, 7924], [2877, 9314], [2650, 10089], [2718, 8503], [1562, 1645], [4552, 7123], [2339, 11136], [5259, 8705], [7778, 8182], [5566, 9387], [2548, 9031], [6529, 9434], [190, 8159], [4689, 6081], [2447, 5192], [3486, 4295], [2132, 3868], [9366, 10129], [2518, 7287], [7430, 11232], [5785, 8347], [6313, 10718], [952, 9421], [3257, 7626], [3406, 11132], [2477, 4253], [3729, 10065], [3667, 9187], [3836, 10716], [9469, 10257], [8450, 11032], [6077, 11380], [1373, 1722], [6641, 6992], [9411, 9498], [2090, 3992], [999, 9617], [3299, 3314], [5394, 10569], [5024, 5374], [848, 8667], [7527, 10010], [4617, 10877], [775, 6876], [2359, 5321], [1030, 11532], [1618, 5286], [2640, 8946], [1476, 7862], [4220, 9901], [1577, 2252], [4193, 4291], [2164, 9367], [7761, 9251], [2969, 3156], [483, 10208], [7694, 10658], [1715, 10480], [10999, 11044], [2649, 11287], [3710, 7705], [1026, 6471], [6129, 9984], [5487, 6545], [1249, 8206], [8157, 9601], [2964, 9578], [7883, 10530], [1221, 3906], [3322, 7596], [5784, 5785], [1992, 9418], [2448, 7971], [3115, 6714], [6900, 9457], [2447, 9998], [7557, 8266], [422, 1230], [5817, 8527], [1988, 8895], [5503, 10057], [101, 6507], [8321, 9601], [4224, 9215], [8042, 10186], [726, 11440], [609, 4439], [3749, 6478], [6739, 11202], [5705, 6781], [6398, 10909], [8943, 9355], [390, 3577], [1107, 8099], [4555, 8039], [793, 3967], [125, 7251], [1152, 10501], [6754, 9231], [601, 764], [2146, 5697], [2438, 9481], [2736, 6694], [57, 5804], [239, 5286], [1176, 5610], [331, 8258], [5979, 8831], [1485, 7119], [5318, 6870], [1481, 9629], [987, 6842], [118, 4178], [6207, 10940], [4340, 9174], [1642, 1818], [1392, 1643], [3532, 3753], [5115, 5760], [292, 4516], [1690, 3737], [10294, 10958], [4900, 11433], [576, 7658], [1372, 8531], [2313, 7099], [3594, 11397], [9467, 10398], [2807, 4601], [1252, 11031], [192, 11051], [1237, 2829], [3482, 9651], [4887, 10043], [1021, 7900], [2676, 11473], [7070, 9571], [6805, 7610], [3169, 8373], [3320, 8542], [8340, 9546], [2509, 9266], [1791, 6771], [3759, 8589], [9948, 10297], [1515, 5375], [2005, 4256], [474, 3193], [2978, 11407], [6889, 6907], [6892, 10588], [4213, 9698], [639, 11339], [3273, 8322], [7533, 9638], [723, 3116], [9030, 9619], [4052, 5808], [1247, 5745], [2086, 4036], [7524, 9525], [2266, 2691], [2353, 10981], [2860, 6059], [4904, 6209], [2484, 7465], [5006, 10623], [5658, 8334], [1324, 3871], [1824, 8358], [4747, 5444], [6366, 7108], [6486, 7210], [3194, 5531], [1102, 1957], [4147, 7142], [234, 2901], [3460, 10376], [5079, 11286], [5296, 9823], [96, 2213], [378, 6063], [8744, 8982], [621, 8450], [3083, 11557], [194, 6885], [5970, 8986], [213, 519], [2484, 6310], [4287, 9781], [6936, 7796], [6124, 6420], [1769, 7496], [52, 3045], [1335, 11176], [153, 10267], [5096, 9361], [4165, 5065], [4170, 6163], [6026, 8514], [398, 649], [6676, 10316], [1478, 9949], [1922, 4705], [4938, 4988], [1514, 3190], [514, 10431], [1598, 2137], [4187, 6517], [515, 11033], [5933, 9454], [5959, 10675], [7920, 9070], [7576, 9260], [4520, 5414], [5017, 6220], [8674, 10441], [2306, 10710], [563, 7290], [4086, 6061], [1304, 2040], [4555, 11235], [1812, 6388], [2531, 6075], [6163, 7822], [767, 1054], [6442, 10620], [7367, 9429], [6374, 9173], [1259, 4899], [2544, 6687], [9517, 10729], [7089, 11370], [8801, 9061], [1167, 5310], [9019, 10452], [11321, 11392], [4910, 8551], [7434, 8372], [1138, 3037], [1664, 3083], [3286, 3510], [5834, 7889], [6856, 11549], [406, 2364], [4469, 8027], [1157, 6470], [6802, 8280], [2960, 10695], [1191, 10218], [9384, 11489], [3426, 9182], [5363, 9435], [1194, 3319], [724, 11506], [339, 4525], [4110, 9814], [225, 3457], [5877, 7212], [1314, 1923], [5737, 11339], [7344, 11488], [1367, 4967], [4887, 6473], [4317, 6882], [8274, 8389], [119, 9073], [1669, 8688], [2820, 8032], [853, 9068], [9139, 10530], [8074, 10960], [168, 8965], [385, 7502], [6334, 11221], [8837, 10165], [1172, 4849], [2870, 4362], [793, 1820], [7636, 7701], [5332, 5934], [8685, 9020], [1183, 11050], [6811, 10220], [7413, 8568], [4360, 9157], [5623, 8742], [34, 8719], [368, 1425], [989, 4741], [7114, 11160], [2990, 11580], [5688, 6104], [4000, 7309], [87, 9484], [1541, 8637], [5648, 7459], [1047, 5096], [2415, 2977], [3913, 8064], [3841, 6498], [1081, 3926], [1886, 2633], [6177, 6268], [3995, 10348], [2350, 7463], [638, 3356], [4648, 10913], [7852, 8241], [5644, 6936], [4462, 6027], [3679, 4635], [2715, 5117], [778, 2612], [10, 7170], [6952, 9647], [3495, 6211], [2376, 9034], [5984, 6223], [1094, 10927], [3797, 9959], [1586, 11389], [494, 574], [4364, 11504], [5450, 6289], [4383, 9302], [7339, 9534], [2086, 3044], [5697, 10330], [6471, 9724], [3970, 4410], [1019, 5276], [2357, 10862], [2691, 3568], [2322, 7643], [4619, 8239], [1534, 4409], [5589, 9457], [4840, 6895], [2500, 9635], [5982, 9159], [3366, 5585], [6392, 10720], [3618, 9970], [3329, 9867], [1252, 8079], [1470, 9470], [1621, 6633], [9644, 9967], [1340, 7145], [903, 4138], [3200, 4734], [10734, 11287], [6713, 11485], [2869, 5129], [6348, 6634], [4479, 8959], [217, 6816], [426, 10373], [5467, 5838], [235, 4389], [6021, 7178], [1509, 8270], [4652, 9826], [9566, 10434], [1070, 5190], [3902, 8574], [6026, 10905], [2289, 4446], [3497, 4324], [1317, 5067], [1757, 5339], [532, 7766], [3969, 7517], [5860, 6671], [2899, 6849], [1039, 2844], [1792, 7777], [2926, 4508], [2994, 9338], [6253, 6373], [4860, 10879], [316, 9050], [4815, 10355], [9202, 11446], [8835, 9932], [9733, 11082], [1634, 3030], [2289, 6674], [1945, 6864], [5250, 11414], [986, 1274], [2820, 11228], [2373, 3369], [1075, 11145], [6742, 9516], [1107, 9148], [8576, 8890], [5481, 5870], [686, 1012], [298, 11453], [6492, 9341], [1203, 9610], [5799, 10875], [2871, 10412], [3616, 4904], [1591, 2552], [4271, 6296], [4759, 9268], [2173, 8569], [6322, 6836], [4973, 7507], [2791, 4417], [1832, 5243], [2042, 2609], [837, 10576], [3160, 5977], [521, 5617], [6579, 10814], [3571, 11146], [4063, 10854], [8566, 10430], [6958, 10810], [726, 5268], [354, 9826], [4905, 6410], [2845, 11419], [952, 11438], [6544, 10978], [5171, 10501], [5260, 9792], [2491, 10140], [4791, 8001], [190, 5638], [1804, 2794], [10024, 10052], [2056, 7179], [5569, 7514], [1307, 5371], [4015, 11163], [1672, 3806], [3232, 4109], [10976, 11438], [1432, 4319], [1112, 1897], [649, 675], [2706, 7446], [1698, 8410], [180, 1136], [618, 11161], [4438, 6543], [10535, 10914], [6087, 9547], [2418, 7918], [2974, 3669], [7393, 9179], [5297, 8115], [2439, 5762], [291, 8672], [2738, 5829], [1525, 3355], [38, 4062], [11077, 11089], [189, 8395], [8881, 11299], [3156, 11415], [4137, 8658], [2211, 3279], [1746, 7646], [368, 2661], [6417, 8496], [2737, 3325], [1799, 5028], [2079, 7297], [3887, 11112], [5504, 5533], [5378, 7114], [4282, 5225], [4533, 9008], [7585, 8194], [75, 2789], [3010, 7806], [7428, 10462], [2139, 8479], [5623, 10328], [1358, 1498], [4317, 7663], [8453, 11387], [2321, 3797], [2782, 9110], [2412, 3161], [41, 6588], [886, 2442], [383, 10489], [1723, 5568], [482, 1046], [3147, 6764], [2191, 11271], [5202, 10456], [3459, 11200], [8039, 8522], [3123, 4835], [6069, 7008], [1616, 7549], [1036, 4988], [3760, 4897], [1743, 7324], [3303, 6873], [8679, 9232], [5620, 8875], [1737, 5974], [9600, 11305], [319, 2344], [9477, 10151], [4000, 11123], [3007, 6703], [6372, 10550], [2719, 9454], [3676, 5549], [751, 1220], [7287, 9425], [4028, 10138], [3376, 5257], [7603, 11351], [8138, 8477], [1507, 3418], [6225, 6366], [2898, 8638], [876, 3551], [7061, 10021], [5297, 9888], [3215, 7002], [552, 10809], [4705, 5812], [594, 8002], [6528, 10689], [3162, 6617], [8335, 10869], [7528, 9083], [2147, 9763], [2732, 10416], [707, 8064], [3446, 9759], [3504, 8983], [1384, 7525], [852, 10670], [4312, 4955], [2099, 9722], [4962, 6757], [8471, 9602], [6141, 7368], [850, 10974], [4238, 5945], [1223, 9270], [1345, 4537], [841, 6724], [8098, 10525], [7788, 9545], [997, 7237], [35, 2130], [527, 1838], [4105, 9738], [6195, 10987], [8086, 10141], [1579, 3428], [715, 5272], [6131, 8528], [6904, 9232], [3268, 3579], [10143, 10496], [929, 9173], [746, 10220], [5725, 11223], [739, 9049], [3748, 5155], [3691, 4621], [6337, 9535], [1201, 10800], [1387, 10024], [10535, 10727], [3720, 3861], [397, 9285], [180, 10748], [1471, 5965], [7047, 11388], [1362, 5241], [108, 2766], [1878, 10261], [2998, 10292], [9792, 9865], [5926, 7722], [2600, 7213], [4675, 8928], [1822, 10329], [2747, 9892], [1756, 5545], [5424, 9955], [381, 11411], [7258, 8575], [2437, 8912], [10090, 10461], [5391, 7563], [2275, 10082], [6858, 8833], [936, 5025], [1352, 11319], [2641, 5709], [7103, 8637], [439, 7602], [8037, 9444], [4720, 8297], [7898, 10039], [7736, 11209], [895, 9538], [9950, 10050], [6118, 6737], [868, 10344], [2019, 9688], [2795, 9909], [5257, 8098], [1446, 9826], [5338, 7528], [2163, 2270], [2595, 2681], [3630, 10710], [4086, 10761], [160, 2151], [393, 4574], [418, 5570], [1168, 4570], [4888, 9170], [8905, 11482], [4449, 5336], [1682, 2347], [5119, 8514], [1595, 3102], [2020, 8758], [535, 3876], [1769, 4975], [1868, 9118], [536, 10894], [3453, 10417], [9086, 9958], [3723, 5582], [390, 3902], [3667, 7902], [2788, 4550], [2736, 8524], [4229, 6851], [2450, 7938], [2080, 2743], [1171, 7096], [4285, 10166], [885, 7264], [8603, 9208], [3441, 9252], [4318, 9525], [8886, 9496], [4778, 10449], [5201, 6610], [963, 9025], [5295, 6245], [3835, 6523], [1412, 9760], [3293, 8226], [1462, 2707], [1153, 5335], [5470, 7185], [9026, 9102], [1278, 10699], [2641, 7482], [3611, 10952], [6381, 7042], [5228, 11035], [2632, 3232], [4600, 5050], [245, 6126], [3755, 6944], [3915, 4947], [4506, 11050], [8052, 8115], [143, 9232], [9789, 10185], [6697, 10846], [811, 10859], [293, 9930], [6297, 7694], [7565, 7623], [3714, 10676], [8134, 9995], [4865, 5856], [3521, 6871], [3961, 10553], [553, 2872], [286, 5726], [2280, 2349], [4790, 9654], [3389, 7883], [3893, 9860], [5041, 10404], [5561, 6498], [3536, 4146], [1517, 2740], [5816, 10400], [3378, 6189], [2628, 5691], [5783, 8762], [3068, 5209], [4260, 7560], [6300, 10220], [4469, 11117], [3026, 5737], [2348, 6051], [544, 3109], [11242, 11341], [198, 2472], [4218, 10717], [5113, 5934], [2406, 9412], [5073, 8787], [160, 9535], [807, 6902], [7379, 9846], [1397, 3735], [6505, 6838], [1591, 6984], [3738, 3849], [32, 3119], [350, 2462], [6012, 6905], [8940, 10751], [6223, 11289], [1146, 3335], [2300, 8612], [5106, 5113], [3454, 7473], [648, 9474], [2270, 9901], [3827, 10687], [3109, 8192], [2044, 7868], [1731, 3207], [2070, 2673], [2233, 4357], [8671, 9021], [1350, 9931], [1023, 1400], [1267, 8176], [7418, 9400], [7017, 9056], [766, 3464], [1798, 7812], [3379, 8992], [5471, 6150], [4024, 9696], [2317, 5933], [7239, 10566], [763, 3166], [286, 10182], [5740, 7506], [2877, 4809], [3376, 5688], [2104, 8269], [4898, 9671], [8005, 9318], [1186, 4962], [4298, 9117], [2245, 4717], [2052, 10738], [4729, 5139], [8839, 9894], [310, 8674], [8712, 11250], [3641, 6494], [546, 3474], [4759, 9862], [55, 10784], [308, 4814], [8613, 10490], [7147, 9822], [1039, 7544], [7494, 7651], [5247, 6418], [3884, 9635], [3160, 3188], [894, 7540], [8002, 11275], [7071, 7733], [3210, 5934], [784, 3238], [2747, 4712], [109, 10239], [5892, 7095], [2062, 4609], [659, 7673], [4275, 9641], [5134, 5201], [4576, 6371], [283, 8325], [1250, 5862], [3056, 8850], [3020, 6941], [7696, 10387], [4423, 8758], [457, 7165], [3325, 10960], [1993, 6320], [6186, 7168], [3166, 5985], [8812, 9895], [1579, 7242], [6379, 10192], [3418, 10370], [4973, 10329], [765, 2033], [450, 2961], [4837, 10468], [179, 8325], [3417, 10899], [210, 7638], [10443, 11569], [2105, 9917], [383, 5122], [2870, 9225], [4181, 5818], [4515, 4940], [2193, 2567], [6322, 11536], [3175, 6074], [904, 1037], [1627, 7259], [6222, 11305], [9125, 11122], [2324, 7372], [4328, 8847], [8552, 11260], [5782, 8000], [4973, 6141], [458, 9214], [3080, 9570], [250, 2849], [4415, 11475], [2259, 6196], [2441, 5678], [794, 8382], [3039, 6536], [1384, 2963], [4508, 10885], [10886, 11334], [3374, 8512], [10313, 11472], [234, 811], [4130, 11464], [1873, 9543], [6735, 9207], [5861, 6199], [71, 8926], [7540, 7914], [661, 9923], [729, 1921], [10343, 10533], [4391, 5762], [129, 2865], [4102, 5659], [1218, 1331], [1658, 8019], [153, 1761], [7353, 8438], [5703, 5963], [8738, 9706], [1398, 6402], [3514, 8872], [927, 10200], [7644, 7863], [1928, 6567], [10109, 10487], [3357, 7353], [3751, 11444], [368, 5483], [9915, 10621], [139, 3933], [1443, 5771], [1582, 9313], [8056, 9470], [10508, 11135], [1414, 10668], [7207, 8212], [4903, 6445], [1008, 3564], [1190, 4544], [5605, 7683], [517, 5956], [2963, 10058], [3087, 5398], [2371, 5982], [4014, 5788], [1567, 8631], [2403, 2487], [5164, 7159], [41, 6377], [3582, 8760], [9115, 11103], [7969, 9851], [8318, 10759], [4956, 9839], [5505, 10835], [4578, 4783], [7445, 10605], [3671, 11434], [5943, 7247], [704, 11043], [4250, 7354], [989, 1578], [5904, 11456], [2007, 6994], [1262, 6840], [845, 7491], [4021, 5023], [5027, 7396], [1404, 2759], [5483, 8201], [4526, 9854], [8703, 9415], [9682, 9995], [4828, 9438], [6085, 9932], [4239, 9797], [8525, 10082], [4079, 5378], [2556, 4176], [7006, 9753], [2323, 5136], [9409, 10745], [1773, 11085], [1678, 7061], [1676, 11152], [2636, 6764], [1361, 5664], [7183, 8110], [457, 10361], [3858, 10455], [1365, 5783], [2470, 4782], [3978, 8305], [2507, 7293], [10975, 11243], [3408, 8714], [7921, 8224], [1357, 5141], [7678, 9220], [1172, 9525], [5079, 6781], [2286, 8987], [5328, 9737], [2255, 3258], [5457, 6175], [2566, 11256], [7604, 9456], [94, 1799], [6630, 9250], [6239, 9594], [778, 1677], [2410, 3546], [1808, 5198], [4760, 7940], [2241, 8463], [5073, 6185], [3541, 7149], [1326, 2421], [3734, 10173], [2480, 7698], [7898, 10283], [3569, 6164], [5938, 8326], [8608, 11382], [482, 753], [6459, 7274], [2290, 5322], [2018, 7078], [4686, 5143], [6145, 8804], [4634, 9117], [489, 1143], [5279, 6411], [83, 455], [1476, 5748], [4867, 11570], [5178, 8988], [3994, 11416], [4121, 7027], [5084, 6320], [7453, 9236], [2902, 6236], [10348, 10690], [1771, 1882], [5074, 11267], [1836, 6441], [91, 6358], [4948, 6432], [1491, 2242], [1370, 10583], [8027, 10447], [5539, 11037], [2079, 3166], [3234, 9045], [8947, 10043], [6366, 10442], [1486, 2248], [77, 2114], [1479, 5241], [415, 8525], [9167, 11480], [7074, 8435], [7698, 8262], [4981, 11052], [1311, 5815], [4370, 6926], [2343, 10163], [4862, 7388], [11111, 11399], [7281, 8913], [4459, 6217], [1967, 10815], [6532, 11269], [312, 7996], [5921, 9395], [3856, 7644], [4883, 5232], [7995, 10885], [1372, 10605], [7509, 7959], [954, 1986], [563, 2330], [10229, 11132], [3192, 5385], [2323, 2721], [2976, 3286], [3757, 3851], [78, 7950], [2163, 3937], [2259, 10815], [1108, 2803], [2563, 11226], [894, 3783], [3473, 7475], [6262, 8533], [9560, 11158], [945, 4502], [3780, 5905], [2627, 5734], [4795, 7640], [3239, 4046], [6635, 10212], [6237, 7133], [7603, 10603], [2521, 11350], [441, 2875], [2180, 11057], [2271, 11175], [4107, 4206], [745, 3286], [440, 9820], [67, 190], [7212, 9442], [2945, 3949], [3364, 9760], [1513, 2865], [6373, 8872], [1394, 1453], [5416, 10525], [1015, 4086], [9234, 9244], [8401, 8489], [1988, 11237], [302, 6099], [4192, 9390], [296, 2120], [1856, 6587], [1880, 11145], [1285, 2634], [704, 7018], [3771, 9518], [944, 6478], [2690, 9415], [389, 4913], [2003, 6233], [8842, 11241], [2803, 3842], [3828, 7019], [4542, 6362], [6756, 10865], [4075, 6896], [2115, 9857], [6941, 9864], [3149, 3698], [4135, 5449], [1513, 5093], [4348, 6496], [2732, 8513], [717, 1187], [343, 11334], [6595, 10358], [3228, 5684], [8479, 9095], [4000, 8415], [2415, 4083], [2657, 10032], [3162, 8447], [1195, 3067], [2841, 8806], [11054, 11483], [975, 4986], [2747, 9144], [7819, 10338], [627, 3522], [3211, 7558], [6700, 7499], [4040, 10823], [1956, 11274], [3924, 6676], [4643, 5609], [6446, 9080], [3917, 5505], [990, 10929], [558, 9020], [7097, 7320], [5696, 7801], [6440, 8484], [2910, 9673], [42, 5878], [6891, 11574], [2562, 5957], [175, 2435], [5330, 5384], [6918, 7735], [4431, 7015], [785, 6336], [7046, 10364], [4840, 4968], [1910, 4459], [3429, 11177], [4365, 6395], [1347, 6039], [2930, 7292], [4048, 4244], [3394, 5706], [1116, 2908], [5386, 5666], [310, 11146], [6036, 6714], [7751, 10338], [3643, 9793], [6965, 7150], [4625, 9890], [6249, 11144], [11106, 11218], [8360, 9106], [8246, 11448], [5586, 8356], [6747, 9142], [765, 2277], [9111, 10960], [2478, 2822], [728, 2395], [669, 5198], [1565, 6275], [732, 9684], [381, 8703], [3880, 11584], [569, 11383], [8222, 8768], [4526, 9480], [2933, 6785], [1221, 2678], [995, 7061], [3486, 4490], [4324, 5589], [2452, 3479], [13, 6183], [10837, 11336], [679, 8518], [5075, 7443], [4677, 6616], [6129, 9106], [6202, 7110], [4315, 11138], [4046, 5995], [1620, 3299], [4760, 5338], [4142, 6457], [6994, 11247], [452, 9643], [56, 9643], [2508, 7144], [735, 5013], [5654, 5965], [539, 1691], [826, 5131], [576, 10618], [7360, 9503], [7293, 8281], [2061, 2668], [7704, 10067], [1164, 4372], [6492, 10447], [9382, 11557], [380, 9925], [2565, 8028], [5679, 11098], [595, 5383], [3735, 7422], [1068, 1631], [7325, 10421], [6604, 7655], [6320, 7896], [833, 1764], [1431, 9038], [533, 1472], [345, 8591], [6795, 10606], [252, 5394], [6230, 8353], [4568, 10779], [1341, 9495], [3258, 7618], [1295, 2734], [584, 7826], [4381, 7920], [4723, 11067], [2832, 5497], [1167, 1236], [985, 5137], [18, 6102], [4185, 7227], [5714, 9375], [3560, 4923], [3661, 5729], [2778, 11303], [3182, 11164], [5142, 6705], [5852, 8558], [563, 2411], [2710, 5692], [7140, 9863], [1805, 7535], [3114, 10471], [4308, 6479], [5602, 7629], [728, 4168], [1221, 7484], [1830, 2869], [4773, 7747], [9532, 10696], [2116, 8336], [1653, 7114], [6775, 7671], [4352, 10908], [7225, 8631], [155, 492], [1674, 4958], [2942, 4887], [581, 9002], [2828, 7983], [3129, 11129], [1704, 6298], [1195, 1725], [1822, 8239], [2505, 8269], [2071, 11195], [2787, 4949], [2031, 5380], [7421, 8169], [816, 2079], [1005, 4984], [2316, 8747], [3589, 9020], [659, 4347], [2966, 9795], [192, 5635], [2284, 2793], [5451, 6655], [4360, 8116], [4246, 11212], [3114, 9666], [4850, 5499], [1806, 3168], [1064, 8947], [5317, 7594], [5762, 8210], [5125, 10807], [8459, 8925], [2418, 7869], [3569, 7213], [1327, 6324], [9119, 11415], [6129, 6691], [6039, 10181], [6779, 7739], [1667, 7146], [491, 9435], [150, 2726], [3262, 9133], [4009, 4452], [5471, 7630], [6553, 9089], [727, 11405], [758, 10718], [233, 7864], [4898, 11151], [2322, 11140], [5273, 10274], [3903, 10068], [9567, 11174], [7096, 8735], [778, 8337], [5924, 8514], [4740, 6778], [605, 10072], [4614, 8359], [4977, 5967], [37, 4892], [211, 6011], [5171, 6964], [6193, 6460], [1430, 10185], [1552, 11114], [10086, 10426], [4267, 7497], [3271, 3560], [2028, 11043], [1982, 4282], [7088, 11476], [3165, 8045], [2919, 4606], [9861, 11247], [3228, 6115], [5874, 11029], [1447, 4123], [7772, 10573], [1826, 4119], [5764, 10110], [3785, 8103], [2291, 5387], [8258, 11220], [1094, 2665], [2810, 6891], [2954, 10053], [588, 7408], [10011, 10790], [4670, 8617], [6977, 9901], [1050, 2743], [3947, 7276], [9828, 11083], [934, 5012], [8365, 10686], [60, 2004], [2353, 11526], [3640, 4315], [3165, 7240], [3538, 4038], [6019, 6441], [3293, 9869], [6536, 8623], [1631, 5879], [1080, 8220], [584, 11022], [7547, 11370], [6526, 11318], [4647, 8791], [7143, 10728], [2126, 2825], [2279, 3067], [355, 1521], [1809, 4838], [3020, 10649], [2366, 5695], [9248, 10750], [8090, 8737], [3542, 9418], [4939, 8037], [271, 4452], [8305, 9076], [4468, 5419], [1013, 9226], [5997, 10573], [4006, 11215], [7514, 11206], [3871, 4382], [5268, 7165], [1633, 10782], [420, 8308], [6519, 9342], [6641, 8773], [4116, 5317], [8221, 9728], [219, 855], [6624, 10297], [2049, 2739], [283, 8195], [2005, 6574], [6529, 7027], [9, 9878], [5011, 6169], [3055, 5866], [6134, 9881], [268, 10546], [3162, 9146], [746, 7138], [990, 9750], [7683, 9271], [1864, 4090], [2296, 9382], [3659, 6919], [1293, 10690], [6671, 8958], [3372, 6862], [882, 5871], [3991, 8597], [9510, 11234], [11177, 11434], [2406, 9900], [494, 9145], [2925, 5769], [2085, 8007], [660, 3930], [10980, 11270], [3917, 6554], [4481, 8582], [674, 1384], [6659, 11176], [2363, 3787], [5004, 8357], [814, 7780], [2421, 7175], [6636, 10226], [5908, 6289], [8425, 9103], [5257, 11432], [2456, 3197], [4257, 10005], [5769, 6884], [3110, 11534], [4132, 8778], [2609, 6822], [6149, 9734], [6460, 7152], [1909, 4906], [9911, 10773], [503, 8453], [8505, 10910], [2182, 10168], [6490, 9246], [7971, 10222], [564, 5696], [3996, 11519], [3137, 8819], [5053, 10447], [2015, 2299], [1340, 9300], [1054, 6462], [2709, 3619], [1117, 4532], [626, 6924], [10328, 11219], [49, 10326], [1446, 5939], [2426, 10097], [801, 2202], [9629, 9905], [1262, 7515], [5247, 10289], [1252, 6046], [8258, 10228], [10276, 11409], [11148, 11338], [3926, 5811], [7845, 10998], [9405, 11301], [3452, 9338], [8032, 10824], [121, 4321], [714, 11251], [3615, 4606], [432, 5903], [6197, 7815], [564, 1858], [6030, 9395], [1807, 4174], [4448, 7963], [3132, 3856], [117, 7181], [7333, 8729], [5153, 9472], [3133, 5212], [1474, 6401], [5531, 5860], [5615, 11223], [5269, 10586], [2375, 5570], [3751, 7476], [1825, 4349], [5304, 5854], [5705, 6952], [1130, 3558], [603, 11211], [7571, 7739], [5694, 6039], [467, 770], [3119, 9636], [7560, 7580], [1336, 6817], [246, 8880], [3988, 9267], [8561, 8828], [4423, 8441], [332, 1484], [4315, 4966], [5665, 7903], [3131, 3230], [4758, 8919], [1360, 1926], [5260, 10069], [3634, 11398], [3567, 10176], [360, 499], [108, 5913], [9947, 10671], [4343, 9616], [5437, 7672], [3787, 5197], [4313, 10905], [3537, 4268], [1259, 8640], [2000, 11304], [4865, 5002], [2414, 10355], [6170, 8196], [10598, 11540], [1599, 7927], [971, 8358], [5570, 9894], [4675, 6009], [2923, 11171], [5082, 10305], [3363, 9191], [3886, 11218], [7936, 9506], [346, 5273], [5163, 5948], [1481, 5612], [2396, 9375], [2107, 2856], [1666, 4611], [10361, 11196], [8145, 10030], [2443, 7686], [49, 7911], [5873, 11184], [4719, 10788], [6142, 8376], [8547, 10949], [139, 1388], [3942, 11096], [5838, 11348], [9961, 10703], [2963, 10546], [721, 9657], [5891, 7976], [5545, 7339], [5483, 6461], [1407, 6952], [2993, 6224], [6630, 8315], [10652, 10971], [6528, 8038], [1392, 2887], [9620, 10760], [2419, 9520], [395, 10776], [1923, 5906], [4342, 7431], [7396, 10450], [4434, 10403], [8895, 9723], [1191, 5233], [8205, 9276], [3532, 5347], [4030, 9007], [3068, 3900], [363, 8205], [7070, 10815], [5389, 6021], [1347, 6096], [4853, 5260], [288, 9724], [3144, 11250], [6855, 10072], [1771, 7363], [2146, 6486], [3543, 9269], [4107, 11297], [6543, 8265], [4692, 7786], [8936, 9323], [5130, 11395], [6336, 10446], [991, 10783], [1070, 2970], [3033, 4444], [3315, 3376], [3256, 6179], [1862, 7077], [135, 1938], [926, 3191], [2548, 10788], [9764, 11582], [4119, 8274], [2880, 6831], [1970, 4166], [3972, 4814], [4772, 9593], [7328, 11581], [3027, 3094], [9255, 10392], [8818, 10391], [5020, 5908], [8499, 11577], [3301, 5548], [1969, 7324], [345, 6070], [3016, 5564], [254, 2919], [1527, 10362], [2642, 9295], [2181, 2484], [3170, 5250], [3980, 10717], [9587, 9791], [2367, 10753], [2608, 7432], [217, 7174], [1425, 7052], [3438, 7135], [4377, 11292], [7744, 10304], [3480, 10744], [6049, 9584], [5245, 7315], [1033, 2283], [3498, 4907], [180, 10675], [9160, 9350], [982, 5701], [6579, 9749], [6075, 7772], [4299, 6124], [2941, 7433], [4467, 8152], [1724, 9721], [7297, 9211], [881, 1862], [437, 4100], [1901, 8859], [816, 10512], [9434, 11023], [8842, 11111], [5454, 5560], [1371, 9044], [34, 6312], [5354, 7608], [1517, 8115], [9865, 11209], [5446, 10580], [8436, 9642], [4573, 11180], [3317, 11288], [7093, 11259], [1026, 8228], [1518, 8690], [3474, 8993], [5621, 5858], [7825, 10427], [1825, 8618], [5749, 8487], [7299, 8102], [10318, 11312], [982, 11312], [3718, 6320], [2376, 3244], [4922, 10960], [1063, 3572], [3588, 10411], [7237, 9853], [872, 9639], [1629, 5646], [818, 6370], [3397, 10062], [5103, 9436], [590, 1258], [3568, 4467], [1836, 9507], [3942, 6371], [112, 3885], [9239, 10881], [4628, 7830], [5712, 8204], [2699, 5186], [3454, 6782], [5904, 8374], [302, 976], [2101, 9963], [764, 5733], [2512, 3081], [6768, 6907], [2012, 7639], [675, 9825], [5334, 9160], [6297, 11459], [3563, 7856], [4527, 6593], [2158, 4431], [3672, 7799], [661, 2198], [3897, 10361], [4012, 10873], [3339, 5869], [8442, 8628], [2835, 3892], [5604, 6927], [1022, 8778], [1, 6474], [10479, 10990], [7029, 8725], [6877, 10583], [396, 2839], [4317, 5443], [5507, 10377], [4509, 5613], [4837, 10582], [890, 3347], [2220, 4154], [5342, 8997], [6990, 11399], [3781, 11475], [8201, 10794], [5859, 7045], [9092, 9275], [790, 6526], [255, 5990], [6829, 7509], [9315, 11010], [1402, 7844], [6331, 9484], [9846, 10646], [197, 9395], [3306, 5705], [9601, 10815], [374, 4369], [1926, 4057], [1010, 7963], [3426, 3555], [1335, 10005], [6875, 7103], [9063, 10385], [369, 7408], [1615, 9241], [7988, 9346], [684, 5699], [1950, 11217], [7526, 7972], [4405, 6737], [3350, 11265], [577, 5078], [7030, 10774], [487, 2152], [666, 3615], [2456, 6824], [10064, 10882], [4059, 9483], [764, 10539], [2106, 6445], [6736, 9546], [1980, 10278], [263, 5827], [426, 7511], [5674, 7241], [477, 7476], [43, 11156], [6755, 10727], [2555, 3046], [7503, 8900], [7974, 8485], [3311, 5244], [6449, 10620], [2342, 5382], [4238, 4880], [6872, 8279], [1280, 2323], [6161, 6955], [6663, 8105], [1435, 9781], [2144, 8026], [3073, 4325], [1982, 3534], [4108, 5938], [3411, 10736], [3049, 9566], [8044, 8850], [540, 10807], [6623, 11308], [6666, 7248], [5065, 11051], [3061, 3160], [320, 5556], [7287, 9783], [4735, 7914], [26, 2076], [4240, 11318], [4925, 5005], [157, 10638], [1783, 2893], [1180, 10736], [4798, 9367], [1400, 6538], [5006, 10070], [1336, 4833], [6778, 7812], [2172, 5105], [10578, 11587], [2982, 4156], [9539, 10232], [180, 8528], [982, 3554], [8765, 10811], [1050, 5378], [7364, 8286], [5655, 10866], [6961, 7115], [514, 4617], [2754, 8843], [5868, 8907], [1718, 7005], [7896, 11530], [8954, 9929], [8104, 11479], [3894, 9526], [1946, 3422], [4403, 5431], [2276, 5054], [5741, 6853], [159, 9529], [1005, 1821], [1187, 7719], [4081, 6319], [230, 5208], [2465, 9090], [3053, 5096], [8715, 9539], [10045, 11100], [2617, 5697], [901, 10516], [8344, 11289], [3394, 8772], [4258, 11092], [9490, 10289], [8019, 9277], [7026, 10519], [894, 2929], [752, 10393], [1232, 9340], [1679, 4367], [4412, 5493], [9064, 10073], [946, 3469], [1789, 4912], [608, 7611], [4140, 5744], [4515, 4867], [3682, 4866], [913, 4460], [4464, 8285], [7656, 9760], [4392, 5965], [873, 1651], [6812, 8846], [65, 6056], [2455, 2679], [5749, 8568], [3579, 9999], [2695, 6303], [2206, 9522], [8250, 10849], [1495, 4034], [8458, 11552], [6027, 8512], [6625, 9370], [5947, 6274], [4326, 7947], [6344, 9128], [10163, 11455], [5930, 7798], [6611, 10411], [3006, 10487], [3973, 7270], [955, 6914], [4255, 6202], [574, 806], [4299, 5750], [3705, 11427], [1222, 1781], [1309, 4409], [596, 8674], [5394, 10797], [5136, 5843], [9623, 11302], [4518, 6962], [3142, 3558], [660, 9598], [268, 5610], [3413, 7993], [5911, 6593], [2177, 10231], [4156, 5822], [778, 4369], [1646, 9814], [2195, 10810], [10450, 10707], [7394, 7615], [3784, 9599], [1821, 8125], [7963, 9987], [1301, 3363], [1567, 8208], [538, 3377], [8603, 9566], [6860, 10310], [795, 8860], [5053, 9349], [6020, 6886], [2813, 3625], [9060, 10973], [2258, 8476], [2351, 5257], [138, 9270], [726, 3024], [7281, 9027], [4110, 5423], [3796, 9959], [219, 4913], [967, 9502], [5039, 5105], [4817, 6978], [5465, 7199], [5685, 9417], [6068, 9155], [8518, 9993], [6723, 10547], [2630, 9179], [4221, 8795], [609, 7700], [7543, 10316], [2316, 5047], [2350, 10293], [6149, 11214], [6171, 8529], [2105, 4046], [4193, 10130], [1809, 6936], [1659, 9621], [5586, 9007], [5648, 10639], [1680, 7465], [4980, 7507], [1220, 5760], [8556, 11574], [1689, 8682], [6935, 7585], [4227, 5957], [589, 5893], [1518, 6356], [740, 9472], [6194, 7550], [516, 4102], [4843, 7394], [9708, 11493], [1771, 10185], [7430, 8695], [2581, 9236], [1917, 2840], [1972, 7465], [5836, 8781], [5593, 9023], [10257, 10954], [6119, 8315], [5248, 5578], [9126, 10764], [538, 8183], [259, 2352], [2905, 7266], [6754, 8304], [2182, 10843], [602, 9107], [191, 8075], [3367, 9771], [1655, 5664], [5295, 8026], [8994, 10995], [8030, 11477], [6469, 7539], [715, 7671], [472, 10165], [622, 1064], [6468, 8068], [4757, 6815], [4222, 10443], [4540, 9032], [2976, 11239], [6549, 10127], [6932, 9865], [1664, 2343], [858, 9827], [1138, 5680], [6898, 7248], [5905, 9244], [10318, 11556], [3193, 10126], [191, 3887], [4805, 10619], [3719, 9418], [7256, 7895], [2648, 5115], [8742, 9969], [3277, 6040], [718, 9416], [3022, 4767], [4572, 10044], [5878, 7047], [100, 4119], [6695, 7269], [1301, 2826], [2980, 4541], [2021, 5367], [123, 2790], [2571, 2801], [4625, 10809], [3730, 6924], [4838, 5440], [3695, 10121], [4409, 8710], [1138, 11291], [4053, 4352], [8261, 10396], [10165, 10509], [922, 9946], [9292, 10355], [996, 1035], [163, 1034], [1348, 5624], [4555, 8885], [5260, 10394], [6920, 7895], [2956, 8627], [3023, 3433], [3142, 5599], [5731, 9979], [1090, 10469], [4677, 7535], [4546, 8018], [4322, 9064], [497, 506], [2773, 6641], [3969, 5004], [2270, 5266], [7337, 9122], [1520, 3987], [4942, 8368], [429, 2442], [8517, 10335], [1454, 9783], [8450, 9113], [3321, 4379], [7632, 8666], [8069, 9421], [1568, 10070], [2937, 10805], [7691, 9246], [470, 938], [4611, 8012], [5612, 10041], [3458, 5589], [11023, 11455], [2337, 6087], [2646, 6842], [2400, 3403], [9316, 11075], [1529, 7082], [2181, 8957], [4077, 8455], [6971, 7055], [3550, 5528], [7371, 10180], [6342, 10267], [8176, 8887], [6808, 8754], [9901, 10947], [4543, 6915], [1731, 10599], [9418, 10978], [5712, 6838], [5629, 11499], [4944, 10642], [5371, 6545], [1637, 10183], [8509, 11167], [574, 4270], [3696, 11365], [773, 1447], [1713, 5482], [3648, 11324], [4458, 10375], [3739, 5026], [1443, 7284], [7350, 11531], [6820, 8333], [7025, 9519], [1360, 10440], [9391, 11383], [4857, 10996], [704, 2407], [2386, 7803], [1137, 5672], [2105, 8315], [890, 5014], [8739, 10639], [895, 3106], [5623, 6742], [1545, 6406], [4373, 10802], [512, 9003], [5596, 8302], [8741, 9931], [10790, 11179], [4957, 10072], [2557, 6345], [7228, 9447], [7882, 7985], [7391, 10377], [2568, 3471], [2258, 8907], [8349, 10080], [5208, 10822], [10554, 11087], [6414, 9873], [848, 5138], [9965, 10692], [4863, 10787], [2559, 2604], [6690, 8236], [2239, 3188], [1518, 7592], [5601, 8272], [6005, 8133], [4202, 8826], [2837, 8964], [6013, 6496], [2730, 10595], [1644, 2978], [5941, 7559], [5593, 10259], [2699, 5243], [946, 1135], [4505, 8985], [2889, 5340], [368, 11452], [611, 2542], [2402, 4498], [6980, 11573], [3405, 3944], [4060, 5336], [4778, 7050], [2402, 7881], [3455, 6690], [1226, 4508], [5491, 6168], [632, 10185], [1528, 10508], [630, 2942], [126, 5129], [1467, 10232], [9242, 9300], [7316, 11091], [6380, 7205], [34, 11175], [3761, 10530], [4888, 5316], [1331, 10344], [1178, 2932], [4378, 9186], [4856, 5778], [3046, 5300], [214, 1162], [3419, 10012], [1167, 2773], [5318, 7529], [203, 3255], [8107, 8587], [7026, 7730], [4281, 8472], [2409, 7116], [2907, 4360], [5152, 8930], [6761, 8371], [10338, 11165], [1900, 11561], [749, 3549], [688, 5525], [1777, 3991], [970, 2205], [1178, 5160], [3881, 4946], [7652, 10235], [394, 8461], [2259, 2984], [803, 7168], [2365, 7544], [6312, 11369], [2389, 8692], [3640, 5234], [1862, 2759], [8398, 10964], [860, 6921], [1822, 3360], [8862, 9378], [5804, 8869], [8202, 10271], [3589, 4141], [5746, 8864], [968, 7393], [231, 10510], [1902, 8200], [2189, 5224], [1129, 5998], [31, 9698], [1725, 6029], [6105, 6703], [6504, 10384], [1397, 10135], [1870, 5629], [8743, 10221], [1237, 2683], [247, 4196], [9080, 10745], [6222, 7638], [6179, 10974], [4852, 6678], [579, 3622], [3311, 10562], [3060, 6779], [547, 11254], [2600, 2822], [3749, 7755], [10562, 11542], [5082, 8833], [600, 1466], [6298, 8572], [6513, 10446], [290, 486], [8130, 10529], [5981, 10585], [66, 1532], [2593, 5034], [3830, 5650], [3838, 9675], [593, 3678], [6575, 8291], [3075, 7437], [1462, 3309], [428, 9468], [366, 1420], [622, 6301], [1143, 5249], [8483, 8553], [5566, 8249], [1547, 2858], [1137, 11096], [2921, 10353], [1085, 10906], [1398, 9151], [297, 9170], [1735, 5538], [2079, 6102], [4790, 11411], [10470, 10798], [7708, 8153], [3868, 4979], [8210, 9303], [1569, 3556], [641, 4449], [389, 2693], [284, 5151], [9633, 10274], [591, 9243], [4077, 5503], [200, 3171], [780, 5732], [467, 1071], [9286, 10166], [2273, 8977], [4365, 6135], [2706, 7324], [5178, 11119], [2243, 6102], [464, 773], [1749, 2561], [6041, 6798], [2053, 3726], [2, 153], [2266, 11189], [5500, 5693], [3170, 9121], [149, 2832], [10825, 11497], [1200, 11394], [4471, 5780], [3297, 8896], [2073, 7761], [239, 2725], [1171, 2705], [5835, 9554], [293, 9377], [3844, 6032], [4535, 10087], [361, 621], [4089, 9246], [2248, 9455], [293, 6344], [10339, 10449], [561, 7098], [4290, 5745], [683, 11410], [7598, 9812], [1561, 8875], [360, 9444], [2490, 2922], [8242, 10264], [4565, 10272], [2767, 11309], [2082, 11206], [7426, 10644], [270, 3485], [4153, 9015], [4378, 11577], [4994, 9631], [8741, 10362], [106, 8746], [4028, 7788], [4492, 5448], [3277, 9317], [4249, 6444], [2664, 10780], [5085, 6716], [4085, 5289], [4864, 11443], [67, 11420], [4652, 6834], [6013, 9960], [4358, 6387], [1032, 8130], [4426, 4801], [1002, 3003], [10176, 11343], [1899, 11098], [3365, 5350], [8175, 10516], [7560, 9654], [6777, 8262], [2599, 8476], [2229, 3281], [85, 3681], [2227, 6618], [3851, 8626], [8549, 9387], [8759, 10917], [3306, 3615], [3961, 11423], [3031, 11489], [5980, 9796], [7695, 11168], [3304, 3919], [2032, 6500], [523, 9168], [5724, 9052], [7721, 9356], [7065, 7739], [1991, 9882], [9028, 9213], [6220, 9633], [587, 3676], [6755, 6759], [5814, 8945], [5318, 10993], [1552, 6048], [4788, 7795], [3795, 9791], [5821, 9335], [2798, 7881], [210, 11273], [3047, 8585], [5339, 8837], [6569, 6754], [1858, 6505], [1328, 4061], [2699, 4869], [5706, 7318], [1547, 6054], [3967, 11187], [10665, 11052], [5094, 5973], [821, 2917], [6335, 7462], [7412, 10075], [435, 2881], [1498, 1624], [6446, 7478], [3829, 8220], [10083, 10323], [1561, 6110], [8617, 9655], [3768, 7944], [256, 10463], [2463, 8133], [1644, 11248], [3979, 8164], [9345, 9805], [2736, 6979], [993, 3559], [2460, 7835], [586, 9062], [6248, 10095], [2638, 9827], [1604, 4652], [3049, 4443], [7987, 9609], [1134, 6423], [5898, 9716], [8081, 9244], [6367, 8474], [2876, 5454], [609, 6952], [7665, 10497], [7613, 10307], [7983, 9086], [4746, 7868], [9849, 10627], [1378, 9385], [815, 7959], [166, 9765], [3619, 10049], [5611, 10009], [905, 10104], [8028, 8455], [2525, 8206], [2797, 6450], [6998, 11323], [4248, 8715], [5374, 6282], [9549, 9934], [4960, 10614], [4303, 6143], [7525, 10436], [1503, 7178], [2438, 10839], [2280, 3837], [4336, 5502], [788, 1948], [4955, 7237], [1541, 6881], [1816, 8806], [5866, 7094], [1213, 10233], [282, 6691], [2310, 8560], [1749, 10213], [2057, 8114], [1522, 5326], [4512, 10050], [310, 5706], [6469, 6791], [10113, 10807], [1204, 9366], [4975, 8239], [9823, 10479], [1481, 11337], [6713, 10534], [1137, 5111], [2009, 7292], [1890, 3628], [2659, 9094], [3942, 10055], [5721, 8968], [792, 912], [7798, 8477], [6079, 10369], [1134, 8196], [2992, 4958], [528, 5942], [655, 799], [8445, 9227], [1962, 7072], [5798, 11258], [1399, 2236], [492, 3252], [4949, 11498], [252, 7175], [252, 759], [2110, 4691], [5039, 11391], [2453, 11446], [4354, 11288], [1823, 11050], [8271, 9986], [9391, 10017], [5150, 5745], [2724, 3049], [4630, 10405], [5070, 10677], [1698, 9069], [793, 6748], [6775, 10607], [2792, 7879], [1638, 2602], [5627, 9282], [766, 5302], [1542, 5523], [133, 1225], [8201, 11095], [918, 2663], [2101, 6426], [4747, 4924], [1196, 1853], [222, 1647], [7816, 8251], [6422, 9149], [6006, 7773], [4077, 11545], [3624, 11011], [1501, 5872], [2526, 8295], [683, 5425], [6446, 10674], [1491, 3649], [5730, 11258], [25, 3735], [5410, 9590], [2757, 7669], [4575, 6510], [810, 10835], [3888, 4826], [10383, 10778], [2735, 3157], [5684, 7880], [269, 1062], [7338, 8976], [2625, 7900], [2752, 9927], [21, 179], [5272, 10006], [1693, 11303], [2567, 7895], [2195, 6037], [68, 9824], [5326, 10242], [7423, 7744], [355, 2684], [6237, 9345], [2710, 6668], [8878, 9751], [1347, 7633], [3701, 8763], [6661, 10612], [4979, 6347], [3850, 4318], [51, 1145], [3514, 9287], [829, 7828], [8492, 10065], [7738, 7913], [4221, 10088], [4223, 4499], [6705, 10510], [1479, 5843], [2091, 7161], [8816, 11101], [5115, 11469], [97, 7505], [1494, 6124], [10057, 10338], [3892, 6772], [1156, 9512], [3712, 11500], [464, 1822], [1778, 2850], [5353, 10479], [809, 9404], [3579, 5494], [9186, 10230], [332, 2834], [3981, 7194], [1558, 10431], [2926, 7558], [7435, 10332], [5041, 5639], [3062, 10078], [3098, 5571], [2731, 4057], [2884, 5053], [2973, 10006], [9788, 10456], [4062, 8472], [3594, 6152], [3652, 10294], [2532, 3847], [3240, 4873], [1385, 5376], [1218, 6202], [1221, 9883], [4297, 10217], [1685, 8297], [2994, 11233], [1836, 8466], [3916, 4109], [4979, 7770], [660, 11509], [2090, 3098], [2303, 10561], [4569, 5428], [1685, 5264], [4073, 5978], [2946, 4776], [394, 9323], [7836, 9871], [4503, 8191], [274, 2024], [5098, 5368], [1483, 7008], [4382, 10116], [2315, 7538], [7702, 10810], [6143, 9951], [4751, 5260], [3906, 7154], [8228, 10102], [2311, 4386], [8329, 10154], [1223, 8774], [3938, 5911], [7921, 8639], [68, 10442], [5945, 6179], [1745, 4914], [7357, 9994], [4370, 8951], [4590, 7005], [1156, 4519], [3549, 4823], [1596, 8955], [1370, 8420], [2953, 4011], [7839, 8987], [4050, 6502], [275, 3723], [254, 2846], [4662, 11230], [5197, 8356], [2454, 3509], [643, 5058], [2757, 4449], [3500, 4530], [10010, 10760], [2443, 8231], [4848, 10804], [2407, 6322], [1202, 3709], [323, 357], [2468, 3565], [4534, 5918], [3973, 7571], [5114, 8479], [4654, 10938], [297, 11187], [5827, 7597], [1312, 11424], [10930, 11110], [918, 1671], [4281, 4691], [3330, 6189], [196, 8102], [1686, 6912], [8408, 11335], [8558, 11279], [241, 4088], [11235, 11342], [8988, 10863], [8251, 10570], [1589, 3946], [2957, 6708], [824, 881], [2573, 9751], [4161, 9850], [6714, 8157], [916, 3853], [850, 5485], [1158, 3386], [2534, 7544], [2933, 11225], [411, 1651], [3252, 7006], [4582, 7813], [2092, 3412], [10063, 10720], [3272, 7658], [4146, 4250], [125, 5202], [4987, 9030], [686, 1297], [2998, 9341], [4741, 6345], [5360, 8080], [7971, 9775], [318, 1810], [8315, 10339], [2054, 4059], [4855, 6632], [161, 8242], [254, 4269], [5665, 5683], [6096, 8121], [6782, 11078], [9641, 10623], [3543, 6781], [6867, 10627], [176, 1353], [4442, 10785], [3381, 4918], [7085, 8985], [2531, 3058], [1235, 4491], [731, 3268], [724, 6261], [1670, 4419], [1109, 6072], [4777, 10482], [2698, 11277], [7941, 10663], [2349, 4707], [5888, 6263], [881, 3212], [2379, 6047], [6075, 6089], [1935, 9039], [3858, 6950], [2156, 7695], [284, 8591], [3054, 8845], [5635, 9200], [5612, 7496], [5608, 10760], [149, 5922], [3240, 11452], [6005, 7198], [3425, 10451], [405, 7016], [9297, 10008], [2552, 10297], [28, 11230], [615, 2130], [124, 10938], [2075, 10897], [1392, 5205], [4105, 7177], [5564, 10838], [3716, 9876], [1666, 9157], [3097, 11524], [3775, 4040], [3876, 4092], [504, 3238], [3711, 6499], [7602, 10392], [2810, 4297], [692, 5918], [7969, 8119], [56, 5707], [2681, 5580], [651, 2884], [2641, 6181], [906, 6786], [1359, 1658], [10295, 11338], [396, 11410], [2545, 9102], [10008, 10527], [3562, 5221], [4066, 7198], [7770, 10511], [857, 7274], [4812, 8708], [9915, 11467], [5803, 5885], [6372, 8257], [3934, 10462], [145, 1561], [3460, 8327], [9561, 10188], [6861, 8421], [8418, 8453], [841, 5236], [1780, 6387], [5085, 6773], [3213, 4663], [9656, 10425], [2244, 4801], [1989, 4282], [6393, 9484], [2429, 3800], [2152, 5966], [2898, 9728], [5439, 9930], [5721, 8862], [9962, 10882], [8522, 11435], [5356, 8175], [1870, 5499], [834, 4415], [7960, 9453], [3848, 8035], [3044, 5766], [807, 10139], [2548, 8568], [6706, 9607], [1787, 2239], [2882, 11073], [5832, 9982], [1809, 7855], [9045, 10779], [821, 3779], [3592, 9893], [2334, 2758], [7160, 7683], [1690, 9072], [7596, 10465], [31, 2347], [500, 7521], [3955, 4468], [4161, 8508], [59, 3614], [1184, 8153], [2141, 6500], [4485, 11049], [3425, 11069], [3914, 4844], [3829, 9432], [2368, 9108], [4665, 9704], [6227, 10080], [780, 6757], [8615, 10040], [7526, 9322], [2951, 8934], [6244, 11215], [4382, 10547], [3282, 7758], [5398, 9474], [3748, 6245], [6776, 8043], [4093, 9663], [4053, 10264], [5585, 6267], [122, 3939], [9149, 9573], [7122, 10558], [7667, 8372], [2342, 6732], [3981, 9048], [7372, 7700], [1685, 11306], [7282, 11190], [2639, 9355], [717, 8636], [7780, 9188], [648, 10751], [188, 8292], [2454, 7323], [2755, 10469], [4472, 8504], [9112, 10041], [3840, 11445], [20, 9647], [4901, 7863], [3166, 9222], [6948, 7530], [4112, 6656], [8361, 8537], [3621, 9802], [2721, 5573], [9844, 10340], [4672, 11194], [196, 8533], [2811, 7718], [2183, 8149], [101, 9427], [5486, 11118], [9557, 10283], [9710, 11279], [470, 10233], [4073, 7832], [6196, 6555], [931, 4966], [934, 8647], [872, 7769], [5199, 11061], [7682, 7875], [7591, 8511], [619, 907], [1711, 5306], [4668, 8392], [96, 10931], [2677, 4870], [1480, 2929], [5440, 11123], [5564, 6463], [1973, 6245], [6902, 7885], [2533, 4367], [3785, 4517], [480, 721], [1790, 10675], [238, 3817], [2251, 4654], [545, 8663], [2847, 3187], [697, 5270], [3240, 9305], [1378, 8637], [1801, 4044], [4853, 6236], [4739, 9332], [6126, 6509], [3832, 10348], [4921, 8814], [1182, 7944], [958, 5984], [8616, 8631], [4168, 9516], [2050, 3967], [4568, 10389], [642, 1025], [4965, 6827], [8208, 9745], [1057, 9346], [3874, 6036], [8180, 8451], [5768, 8871], [4524, 7084], [1110, 6728], [43, 9741], [7486, 10514], [2593, 4367], [2968, 3490], [3250, 6586], [8346, 8928], [6140, 7696], [1162, 10301], [1886, 9578], [2750, 5482], [933, 3833], [2281, 10107], [5116, 7346], [3368, 7746], [5326, 8876], [379, 5876], [8834, 8867], [6700, 9955], [67, 10485], [5793, 10971], [7601, 10622], [5703, 8045], [2546, 4147], [619, 2330], [343, 3186], [4422, 6376], [3946, 9830], [5472, 8297], [1355, 2371], [2757, 5498], [2861, 5821], [2911, 5184], [4256, 7777], [78, 7991], [272, 11240], [1480, 11118], [4499, 7912], [5932, 6188], [7195, 8779], [7257, 9657], [2118, 4235], [3189, 7757], [2217, 4214], [4517, 8491], [219, 3685], [263, 10373], [2648, 6652], [1029, 9152], [7696, 9704], [9218, 11435], [2430, 8644], [7137, 11403], [7624, 11521], [5917, 7758], [1034, 7217], [8876, 10917], [1030, 3311], [772, 4773], [7998, 11173], [2480, 4974], [8245, 11050], [1738, 8501], [3511, 9097], [7515, 10423], [4215, 11135], [3349, 7988], [7676, 11280], [8669, 9284], [6792, 7584], [2817, 8127], [699, 9748], [2478, 8661], [138, 821], [2257, 6972], [6551, 7872], [1842, 4286], [4930, 9545], [730, 8280], [7388, 10998], [1220, 7915], [6987, 10654], [3265, 4503], [5670, 7076], [4823, 8143], [2082, 10539], [3926, 10601], [2056, 2902], [1620, 5755], [1983, 9779], [2945, 6218], [4732, 5746], [644, 2470], [9024, 9983], [3012, 11577], [3690, 10509], [7958, 10188], [611, 3461], [7677, 7694], [757, 3286], [2501, 5396], [479, 6725], [3712, 4791], [3650, 3913], [6368, 11147], [7223, 9217], [11190, 11412], [7828, 11246], [3938, 4545], [6083, 11163], [3740, 3806], [8566, 8731], [1849, 4652], [5047, 10079], [8562, 11241], [2927, 4457], [6266, 7083], [4632, 5141], [2983, 4766], [1331, 1464], [2461, 6347], [1900, 3836], [5501, 10434], [3073, 6911], [2455, 8030], [549, 1428], [2577, 3297], [4044, 4567], [202, 6982], [5845, 7965], [370, 9010], [3700, 10392], [4003, 7949], [1663, 10689], [2561, 5423], [664, 1536], [5366, 11121], [1324, 4026], [8574, 10820], [3717, 4330], [1091, 11402], [1662, 4021], [3124, 7199], [724, 3472], [5326, 8689], [3113, 6286], [8094, 8116], [6046, 11230], [8097, 8387], [1528, 4206], [5101, 9510], [6, 10022], [97, 10140], [8655, 9846], [2769, 5695], [7657, 11498], [799, 7214], [5420, 10953], [1432, 7881], [5783, 9315], [5310, 6651], [6710, 8951], [4695, 5035], [4941, 8474], [4070, 4983], [4846, 5204], [3099, 10710], [3629, 7492], [1666, 6018], [3078, 3417], [4308, 7780], [1732, 7769], [5622, 8808], [5889, 5954], [6052, 7638], [5020, 8925], [3430, 10665], [283, 1039], [9503, 10478], [354, 9550], [1252, 11454], [8227, 9153], [37, 8153], [5233, 6939], [10028, 10299], [3015, 4946], [4166, 4290], [1584, 4464], [1145, 7046], [8928, 10139], [2113, 3273], [6101, 7099], [4317, 7842], [865, 10412], [2169, 4336], [9302, 9791], [5441, 7992], [4839, 9644], [1365, 8483], [1701, 2016], [2700, 3972], [9661, 10663], [2794, 3607], [7921, 10924], [3807, 8679], [2225, 3864], [857, 10901], [1941, 4105], [3377, 6816], [6367, 11540], [10443, 11049], [1665, 2709], [10154, 10946], [4772, 8772], [135, 4500], [2998, 3787], [6322, 7633], [5425, 9337], [6788, 6874], [4109, 5984], [3028, 5127], [1404, 1621], [378, 7641], [708, 2857], [4073, 7458], [10361, 10643], [282, 4146], [4783, 8557], [2820, 7837], [4535, 11461], [1464, 5055], [9116, 9385], [6189, 8393], [2696, 8710], [4284, 4645], [1054, 10260], [3812, 11251], [3261, 7930], [6267, 6771], [1534, 2791], [4312, 9322], [1822, 2669], [5051, 10415], [7356, 8620], [128, 5557], [1225, 8048], [5045, 9065], [308, 7595], [5480, 6741], [1691, 6508], [1959, 7262], [6511, 6700], [1903, 7330], [844, 10958], [187, 6487], [7188, 10325], [4941, 9092], [5440, 6561], [5792, 10396], [3416, 7063], [4479, 10724], [1769, 8269], [9208, 11552], [5438, 6865], [2294, 7336], [1358, 3450], [353, 10347], [2354, 8141], [9790, 11153], [72, 7853], [3475, 4610], [4686, 10421], [2969, 5970], [3528, 7654], [601, 7416], [2439, 6909], [1768, 3506], [4202, 10981], [3462, 7007], [6342, 7429], [1744, 8747], [2453, 7746], [6976, 7944], [936, 9742], [5913, 7666], [992, 10805], [610, 4095], [5878, 9365], [7675, 8103], [1945, 8629], [3808, 6489], [4028, 8707], [327, 1905], [2309, 3429], [1906, 6422], [1539, 11324], [5359, 6706], [6105, 10468], [224, 4409], [1164, 8414], [2830, 5760], [1271, 9065], [1690, 7706], [4861, 4894], [2063, 6756], [1117, 2182], [7343, 8653], [2769, 11119], [6310, 7086], [2043, 8763], [4037, 4632], [496, 2249], [3978, 7435], [2259, 9327], [2479, 11545], [17, 2022], [8423, 8504], [945, 3014], [6118, 7266], [5493, 11378], [4151, 9056], [4467, 10982], [6112, 6697], [8634, 9855], [4706, 6834], [6703, 7138], [1813, 4672], [2429, 6890], [5300, 10956], [854, 10416], [5455, 5609], [658, 6340], [1835, 6905], [5393, 11147], [9869, 11529], [4521, 8185], [7162, 8591], [407, 5940], [679, 4184], [1707, 11042], [716, 6695], [124, 9035], [2645, 2923], [1676, 3061], [748, 5452], [1245, 6258], [5037, 10172], [9641, 11298], [2738, 8749], [3638, 4310], [3068, 10381], [3844, 4186], [9852, 10020], [7183, 9818], [2140, 10520], [8458, 10918], [822, 6340], [390, 4431], [2669, 10083], [2602, 8861], [5248, 7359], [2502, 4493], [1129, 11186], [4742, 8719], [4347, 11573], [1068, 6746], [2033, 9118], [142, 9964], [2905, 9047], [4684, 8714], [6697, 8797], [5141, 5957], [3336, 5069], [4728, 7508], [9101, 11145], [5727, 9464], [5233, 8175], [403, 10678], [6514, 6811], [2150, 4391], [4292, 7328], [5092, 5691], [1024, 3791], [4379, 9956], [2493, 4730], [2338, 7071], [2644, 10561], [1335, 1963], [2983, 7775], [22, 11336], [3281, 4207], [2787, 7836], [3497, 8935], [5126, 11287], [109, 3384], [4651, 8550], [7390, 9491], [6485, 7170], [2973, 9689], [4341, 7570], [1469, 6285], [9595, 10498], [3590, 9099], [1188, 10961], [358, 7471], [2555, 10869], [3095, 8339], [2114, 10372], [6286, 10343], [991, 3627], [3554, 9038], [3821, 6938], [5261, 6385], [1837, 5341], [8401, 8424], [7616, 10369], [3073, 5732], [6311, 8306], [6370, 8886], [4510, 4881], [1141, 1292], [1008, 8118], [4653, 7818], [3963, 9623], [171, 3457], [4559, 8156], [3435, 10635], [2690, 6317], [6146, 10282], [2677, 4577], [7157, 8865], [1554, 4248], [7557, 9738], [1774, 6466], [965, 10269], [3639, 10815], [3819, 9470], [902, 3504], [685, 4967], [2108, 2555], [1051, 7010], [8771, 9781], [2073, 9916], [5753, 9425], [2921, 5287], [1861, 6061], [2510, 6507], [3626, 6796], [7896, 9554], [2165, 6472], [10012, 11270], [2097, 7277], [1040, 5316], [1592, 3577], [581, 10629], [1882, 7288], [2651, 5584], [5823, 9790], [635, 10865], [1688, 7422], [2524, 7694], [4981, 5539], [342, 6856], [37, 6974], [3321, 11421], [3176, 8788], [3016, 10785], [3298, 3301], [7212, 11150], [3045, 3609], [4698, 5601], [1740, 3798], [2767, 7048], [5291, 6869], [3104, 9851], [4816, 7542], [3190, 5461], [1196, 2422], [509, 1492], [3791, 10754], [6453, 9031], [10262, 11394], [5215, 11196], [4243, 6899], [4831, 7823], [1068, 6559], [1257, 9464], [1754, 10270], [503, 4306], [1100, 2310], [702, 7899], [4778, 7408], [3002, 5760], [5741, 7455], [3750, 10349], [4989, 5376], [5959, 8846], [1596, 3645], [3017, 6822], [214, 7586], [5609, 10719], [6566, 6814], [3918, 5237], [1557, 2936], [5538, 5591], [1522, 11051], [2394, 10980], [154, 338], [3144, 5062], [5310, 6895], [3704, 10354], [2671, 6535], [176, 7452], [1824, 7602], [2135, 9184], [2601, 4261], [4221, 8779], [1005, 1268], [860, 5051], [1782, 10759], [5772, 8996], [1314, 9193], [2776, 5955], [345, 2915], [3679, 7449], [3872, 5592], [7915, 9125], [563, 4306], [10719, 11215], [2736, 6556], [654, 3670], [7006, 9314], [2840, 6879], [3081, 9974], [6286, 10156], [9346, 9957], [2302, 7203], [5436, 10925], [7027, 10541], [5936, 8996], [5960, 7138], [1230, 2675], [1675, 9707], [4168, 7963], [7919, 11122], [2820, 9236], [3379, 6756], [3315, 9215], [9507, 10440], [3194, 10386], [4679, 8852], [642, 9271], [5363, 9484], [1168, 8563], [1383, 10437], [7009, 8807], [5605, 9017], [4896, 10772], [2690, 6130], [5993, 9099], [4306, 6742], [10211, 10943], [4850, 7394], [1372, 8743], [33, 10102], [1960, 8913], [5444, 10762], [4228, 4607], [7221, 9602], [7054, 8176], [8683, 10528], [923, 10610], [202, 1428], [5289, 10824], [8016, 10250], [5067, 5527], [772, 7408], [5531, 10357], [5909, 9751], [2414, 9241], [5735, 7154], [4369, 4438], [2598, 5386], [2560, 2650], [608, 3220], [8720, 11507], [1758, 4591], [1276, 11263], [7198, 10907], [3216, 11033], [3837, 7179], [7932, 10902], [6968, 11384], [5719, 9253], [3461, 7831], [1769, 11546], [1463, 1640], [3202, 3406], [5629, 9710], [581, 5904], [1918, 2220], [2363, 9252], [2953, 6085], [2199, 7343], [5992, 10701], [2687, 3899], [3791, 10567], [7917, 9439], [2755, 8729], [1313, 6203], [2906, 8898], [4124, 9464], [562, 1316], [5859, 8078], [1187, 4751], [5880, 5922], [4106, 5101], [1179, 4109], [3104, 8509], [5041, 11014], [2121, 4777], [3360, 6974], [7028, 10630], [3041, 8160], [3987, 6318], [1143, 1419], [7847, 10898], [4625, 6605], [3205, 6282], [993, 7487], [7230, 7731], [5309, 9866], [5839, 6648], [3659, 7391], [199, 5936], [4376, 6251], [11160, 11552], [4092, 6492], [5644, 6180], [6898, 8655], [1829, 11142], [3808, 6733], [3927, 8145], [1509, 3058], [10337, 10761], [3370, 6507], [8170, 9457], [691, 3365], [2810, 4598], [3341, 11404], [622, 4699], [56, 6008], [2182, 8412], [6669, 9707], [4290, 6103], [4045, 6272], [7966, 8122], [3171, 3264], [22, 3391], [5247, 7833], [5718, 7418], [6072, 8670], [1263, 11296], [461, 4192], [4915, 8757], [3442, 11082], [1771, 9982], [4029, 4234], [3880, 10527], [5093, 10749], [4090, 5641], [5495, 8285], [3367, 9218], [5834, 7751], [975, 5352], [6360, 7043], [1473, 9012], [912, 4249], [9474, 11244], [386, 8340], [66, 8924], [2590, 5739], [7435, 10714], [6201, 9615], [5767, 6879], [3398, 4717], [4265, 10718], [3800, 7915], [1622, 3069], [4884, 6037], [6009, 6412], [1595, 10291], [6031, 7891], [4914, 8131], [8337, 9704], [1608, 4110], [1451, 10542], [358, 1754], [9074, 9216], [2952, 6478], [5280, 6387], [5459, 8604], [139, 4275], [2879, 8070], [2463, 2530], [3412, 11539], [1164, 10081], [229, 9803], [4228, 6648], [2059, 10933], [492, 3797], [2303, 11293], [503, 11503], [5066, 6966], [7867, 8785], [372, 2160], [241, 9813], [7710, 8801], [9296, 10325], [1170, 3860], [2363, 9065], [8729, 11409], [6774, 10550], [8584, 8776], [418, 1000], [4062, 5016], [6087, 7368], [6950, 9463], [4656, 9138], [9007, 10572], [5738, 6433], [6147, 10802], [5061, 10355], [8261, 10193], [3001, 8948], [9157, 10516], [5511, 10591], [4079, 8753], [657, 1366], [1933, 8326], [7100, 7128], [3697, 6207], [3710, 4160], [2053, 6930], [1157, 11488], [6061, 11408], [2869, 9179], [8246, 11009], [3017, 9831], [2459, 11001], [1838, 2023], [5850, 10407], [585, 8818], [306, 7151], [1388, 10862], [3719, 3872], [4804, 4848], [3682, 8127], [970, 1839], [2558, 4190], [6510, 8359], [7227, 10629], [252, 5760], [3268, 6043], [6258, 10767], [9100, 9177], [318, 9763], [1333, 10000], [780, 11514], [4985, 7461], [2455, 2907], [6059, 9776], [6377, 8365], [548, 2496], [6530, 9361], [2335, 8440], [76, 3440], [55, 2563], [9511, 10589], [4571, 8760], [8480, 9095], [797, 8835], [5465, 6004], [7643, 9352], [5744, 8802], [5732, 7287], [1439, 9995], [1783, 9805], [6234, 8437], [4214, 6429], [45, 4477], [546, 2019], [3772, 3832], [1652, 3872], [6760, 7729], [4330, 7543], [6384, 8381], [2313, 9970], [539, 4985], [4696, 9586], [2810, 3606], [1179, 5345], [7135, 10235], [10108, 10821], [2460, 3200], [6128, 11020], [3788, 9596], [550, 4770], [1090, 2240], [4973, 8524], [7089, 10240], [864, 6623], [4601, 6666], [5320, 5599], [1543, 6157], [9383, 9784], [1136, 8250], [3942, 10413], [5088, 9413], [231, 2923], [3128, 8210], [1325, 1733], [9031, 9332], [2594, 5270], [7547, 11468], [8882, 9209], [5520, 9043], [3056, 9273], [10659, 11459], [1129, 8210], [1261, 3411], [7417, 11395], [6426, 7802], [9490, 10785], [968, 6572], [2587, 7482], [808, 2153], [1613, 7276], [4388, 10880], [4114, 5393], [1179, 4540], [8687, 9872], [3135, 4843], [1680, 5465], [3576, 5717], [9080, 9574], [2824, 3638], [7092, 9733], [7609, 7781], [5840, 7304], [4945, 5671], [5533, 5841], [4874, 6959], [3938, 9489], [2325, 9525], [5954, 7591], [2027, 11588], [382, 8703], [1903, 2662], [7319, 10836], [1632, 8026], [4051, 9551], [6489, 8100], [3469, 11081], [1659, 9849], [7318, 11365], [1972, 8848], [1134, 7749], [1068, 9381], [6104, 10918], [1040, 7333], [9839, 10134], [4364, 11179], [2743, 7190], [11265, 11403], [1272, 6178], [5540, 5857], [3952, 4260], [7121, 10447], [2049, 2837], [1928, 11178], [8619, 9872], [4285, 5409], [3202, 8643], [4636, 9773], [6628, 9733], [3445, 11030], [773, 4895], [3380, 4219], [6339, 9630], [4252, 10564], [3567, 4045], [3682, 10973], [2694, 6143], [1293, 10788], [4583, 9388], [49, 9001], [384, 10977], [5616, 10174], [2166, 7155], [3028, 8648], [4986, 9778], [726, 7708], [9900, 10386], [6691, 10462], [6441, 9533], [911, 1045], [2621, 8489], [217, 3108], [5636, 7793], [6823, 9800], [214, 6220], [9056, 9068], [426, 3632], [5068, 5996], [4347, 5482], [4505, 6822], [3289, 7083], [5809, 9414], [1021, 11389], [5532, 10826], [4318, 10379], [1326, 8992], [820, 3936], [2418, 6975], [4837, 6248], [1351, 3572], [4597, 6761], [1362, 7868], [1637, 9793], [6047, 8424], [7384, 11156], [6081, 11418], [1687, 2740], [3710, 8429], [5299, 7218], [2369, 6709], [10123, 11316], [3463, 5519], [4825, 11499], [744, 5230], [6297, 9703], [3701, 8316], [1951, 7889], [2484, 4188], [2580, 3896], [369, 9490], [8739, 9899], [10173, 11029], [8363, 10551], [5772, 9508], [2014, 2172], [9443, 11183], [771, 3239], [5184, 6305], [2006, 7946], [8446, 9273], [2195, 10851], [1438, 2012], [7979, 10561], [696, 1375], [5654, 7917], [6265, 9791], [5484, 9226], [2911, 9486], [6791, 9083], [507, 1853], [10847, 11323], [1339, 4635], [8222, 9915], [8196, 8694], [994, 1190], [3216, 10472], [7901, 11028], [1123, 6673], [3081, 7803], [10116, 10471], [4407, 5458], [3637, 9189], [5342, 9119], [1522, 8075], [830, 6047], [615, 2675], [7083, 10931], [4178, 5756], [9687, 9957], [4623, 6372], [5271, 10757], [1658, 2644], [3823, 4252], [4949, 7481], [503, 525], [6320, 9043], [4637, 10592], [654, 694], [492, 2618], [3456, 6121], [1553, 5452], [1923, 4231], [3366, 9611], [9400, 10250], [5444, 8591], [1428, 9887], [2137, 8132], [2116, 7255], [2758, 4278], [8485, 9870], [7394, 9079], [5594, 9289], [9859, 10949], [6251, 7344], [9888, 10189], [1822, 10191], [6648, 10952], [1755, 2553], [1885, 8261], [5364, 9766], [3194, 4027], [9004, 11374], [823, 1038], [790, 9226], [576, 10960], [138, 10734], [7325, 7380], [2683, 9180], [1998, 2661], [7001, 8222], [184, 6945], [1744, 10658], [3358, 7814], [65, 2527], [3229, 9124], [3886, 7933], [1561, 5289], [2671, 4632], [1673, 5530], [4518, 7621], [1808, 11582], [7243, 11138], [1020, 1932], [546, 1295], [2294, 8442], [2564, 5859], [1949, 4997], [1066, 10571], [7819, 10143], [4216, 6882], [9720, 10739], [4740, 5347], [747, 10976], [3488, 7082], [2922, 4227], [8281, 11113], [3682, 10331], [4513, 9505], [5792, 7314], [4828, 7796], [2834, 4757], [5599, 7673], [1179, 1938], [962, 3401], [6132, 8136], [309, 1301], [1287, 8072], [294, 10068], [1696, 9031], [6112, 8608], [9449, 11161], [1445, 8631], [10163, 10504], [9006, 10591], [2378, 9967], [292, 3175], [1123, 9519], [7826, 9728], [1216, 3294], [4135, 10060], [4947, 5774], [4079, 5964], [854, 1373], [1170, 9715], [2166, 4203], [925, 6097], [2635, 9377], [2747, 3956], [9608, 11167], [2972, 6518], [1203, 1877], [198, 6522], [1715, 9407], [5832, 8917], [5111, 9157], [3177, 6169], [1372, 6035], [3679, 7319], [1130, 9885], [3176, 6698], [4074, 7848], [689, 5978], [3015, 11476], [1924, 9931], [1146, 7385], [590, 9382], [655, 9777], [2365, 4389], [3287, 6687], [4171, 8131], [1084, 9890], [2359, 6826], [10354, 11522], [6653, 7726], [335, 11492], [5182, 6714], [5808, 9620], [6742, 10427], [5658, 6643], [3077, 6288], [6238, 9204], [6673, 8378], [644, 6585], [3190, 3721], [1693, 7904], [2350, 5959], [4877, 9461], [2152, 5974], [3652, 5472], [816, 10260], [10587, 10942], [7921, 8005], [3833, 6981], [42, 10839], [4452, 9470], [7253, 11289], [3634, 6771], [2682, 8768], [2116, 5913], [8119, 11403], [7945, 9530], [3929, 4410], [3106, 10035], [2392, 5030], [9900, 10362], [5072, 8774], [9955, 10069], [1775, 2587], [2855, 3219], [2103, 8310], [583, 10789], [1201, 3254], [2444, 5570], [4376, 7731], [6645, 9689], [1597, 6637], [4773, 10585], [2696, 5791], [3993, 11376], [6011, 6141], [7072, 8975], [1536, 5580], [6360, 9678], [6324, 7769], [3743, 7414], [8091, 11583], [8251, 9586], [1184, 11544], [1091, 2685], [9807, 10147], [4552, 9246], [3052, 3332], [10765, 11348], [2955, 9815], [744, 8239], [3042, 5273], [1822, 8044], [4690, 7675], [3475, 10790], [3757, 7470], [7707, 8560], [4245, 10442], [2390, 10945], [833, 4497], [8914, 10465], [10, 10122], [5987, 10227], [3770, 4672], [9931, 9967], [4415, 8759], [1777, 7870], [3621, 7932], [5474, 10766], [443, 3157], [7745, 10141], [5191, 8199], [310, 1315], [3365, 7188], [5202, 9489], [3110, 5915], [4906, 8215], [2165, 10611], [3631, 4863], [1397, 8753], [3159, 5807], [4220, 8641], [10823, 10898], [1785, 8111], [4534, 9740], [241, 6032], [3942, 9047], [7478, 11086], [1600, 10960], [2436, 8980], [6302, 7713], [406, 6284], [10340, 10902], [6757, 8293], [446, 2650], [5260, 6060], [1831, 3918], [124, 6571], [7290, 8756], [2935, 9832], [223, 10714], [8091, 9973], [5321, 7467], [7528, 10799], [7445, 9044], [3763, 9462], [920, 10827], [1923, 3857], [7717, 10671], [1521, 9704], [9049, 11524], [4097, 8934], [1136, 2696], [2755, 3606], [9071, 9593], [2538, 5823], [609, 3179], [891, 6275], [6617, 9013], [6491, 9840], [1625, 8522], [1251, 10001], [3889, 4474], [4329, 11162], [1693, 4684], [2310, 5592], [1312, 11408], [3029, 9443], [8743, 9912], [6318, 10070], [1872, 9530], [5783, 7282], [905, 6331], [4671, 11276], [34, 2840], [4079, 7200], [1739, 3524], [2699, 5552], [2585, 4484], [184, 9954], [1545, 5910], [2665, 10105], [4876, 5265], [646, 5289], [928, 8385], [3352, 10254], [5336, 6189], [9267, 9481], [4938, 9526], [5657, 8459], [1796, 6660], [8795, 9671], [5686, 7699], [103, 351], [1955, 10854], [8732, 9322], [2533, 3920], [2405, 4674], [101, 7825], [7728, 10405], [3585, 9674], [7858, 9697], [5790, 10681], [7264, 8958], [4174, 6282], [2656, 5424], [1529, 4976], [5732, 9922], [3423, 7811], [1434, 5116], [5541, 6190], [2483, 6435], [5349, 9403], [36, 2862], [1928, 5624], [6778, 10943], [1306, 2837], [5530, 9414], [3126, 4033], [3390, 5769], [2046, 6784], [7047, 9266], [3186, 7467], [3468, 10563], [7893, 10226], [2162, 7898], [256, 542], [1107, 1846], [8851, 9929], [4840, 10815], [4957, 5738], [7013, 7403], [1507, 9135], [4433, 10656], [1694, 2545], [3834, 5409], [4708, 6165], [252, 9818], [718, 11311], [5109, 9892], [6384, 6828], [1310, 2555], [3636, 8053], [4417, 8618], [2025, 11168], [597, 6820], [5700, 10333], [1399, 1846], [3291, 3854], [372, 1225], [4190, 6360], [810, 11250], [867, 5368], [856, 6707], [4089, 8937], [680, 8925], [978, 6138], [3254, 5857], [989, 10434], [3279, 6853], [452, 3813], [44, 2298], [1064, 4377], [1260, 2037], [2148, 2499], [814, 4202], [1939, 8741], [2658, 7674], [5144, 11175], [6107, 10468], [3851, 5739], [5227, 9897], [9055, 9304], [2398, 3024], [813, 7360], [2714, 7956], [10207, 11502], [1026, 1991], [659, 6893], [458, 2473], [1170, 5153], [4330, 8568], [3260, 7900], [5092, 10611], [8335, 9365], [1823, 6472], [4945, 7151], [5726, 6962], [10547, 11543], [3187, 6863], [7487, 10961], [3065, 10815], [5181, 6115], [3469, 9178], [3407, 7546], [4532, 5669], [5055, 7696], [1440, 9336], [1401, 6375], [3374, 8537], [10251, 10619], [4523, 7808], [2085, 7007], [4010, 5745], [5828, 11002], [9372, 10650], [1213, 10461], [8687, 10547], [3200, 10077], [1806, 10975], [3544, 9887], [2652, 6273], [3294, 3296], [4785, 11376], [4131, 4170], [7363, 11433], [1262, 7320], [1981, 6253], [1972, 9173], [555, 8367], [3562, 4400], [3304, 3610], [7851, 11372], [2438, 6879], [8940, 9084], [542, 965], [349, 6986], [2056, 4333], [1916, 8460], [3213, 6875], [2774, 10211], [6177, 6968], [8095, 8699], [5329, 8564], [7, 10605], [1143, 4753], [6010, 8925], [3759, 6792], [1281, 8070], [9299, 10306], [2266, 5432], [4403, 8025], [4444, 8026], [3623, 4652], [4195, 10705], [5707, 6830], [8107, 9059], [8451, 8869], [5798, 10331], [1655, 9600], [7630, 8124], [3648, 5998], [8250, 11215], [3176, 6942], [3308, 9313], [1813, 2989], [660, 7736], [3516, 9262], [1560, 3297], [4762, 8843], [4662, 5229], [5252, 8478], [8801, 9224], [3254, 8703], [1084, 3718], [798, 3132], [1080, 6228], [247, 5473], [674, 5540], [2234, 11505], [3628, 4191], [6176, 7816], [5718, 11102], [2351, 6428], [5868, 7663], [6917, 8982], [1158, 11022], [3250, 8180], [8518, 9286], [4218, 10823], [2632, 2883], [4562, 8381], [3999, 9207], [4302, 6764], [8634, 10400], [4178, 5008], [2684, 8708], [8621, 9414], [7129, 9777], [4732, 5567], [1805, 8739], [8904, 8948], [1588, 3786], [3792, 4191], [2145, 5397], [4018, 9607], [4476, 4823], [2039, 7630], [3193, 6491], [7248, 11539], [2420, 10705], [2607, 4115], [7646, 11585], [1268, 4720], [6361, 7545], [4031, 10973], [11190, 11233], [3905, 8390], [2749, 6450], [884, 1347], [7922, 10702], [1979, 9427], [2354, 9304], [1289, 8980], [3033, 9592], [6615, 7812], [2775, 4638], [3005, 7544], [9624, 10334], [5298, 10650], [4859, 6816], [6199, 9065], [504, 2230], [1930, 3499], [7683, 10312], [7719, 9969], [7758, 9143], [998, 1984], [801, 11269], [3392, 10060], [2363, 5983], [4132, 4208], [2012, 4248], [8796, 10303], [5788, 10635], [5478, 9655], [4157, 5204], [891, 11162], [7923, 10149], [2954, 9834], [294, 6742], [5928, 9891], [269, 2713], [50, 9765], [2049, 10896], [143, 3540], [3599, 9757], [4447, 11544], [3470, 7657], [571, 8713], [4094, 7484], [5142, 5949], [3653, 9993], [2256, 4958], [4033, 10214], [1478, 4664], [5208, 9952], [4517, 9280], [4454, 8177], [7317, 7464], [2740, 10413], [3862, 4855], [994, 1060], [3917, 4562], [7349, 10385], [6654, 8840], [10172, 10273], [3515, 10409], [3391, 8653], [3360, 7088], [4657, 5503], [1950, 8981], [4937, 7772], [1890, 2514], [3538, 9080], [1356, 1826], [4566, 9522], [896, 4285], [4870, 9933], [1350, 2011], [618, 8478], [1759, 7134], [2874, 6067], [19, 979], [3470, 6852], [3315, 9947], [2899, 7817], [3719, 7556], [3194, 4702], [3746, 5969], [3056, 4768], [6980, 11053], [1619, 3340], [6355, 11001], [3371, 7223], [3493, 8906], [2868, 8854], [4430, 9230], [8157, 8585], [6655, 8260], [4507, 11170], [1306, 11107], [5638, 8327], [10736, 11496], [1335, 3931], [6066, 11248], [9359, 9365], [9400, 10120], [6712, 9144], [4095, 9132], [4532, 9133], [4944, 7357], [9256, 9617], [4490, 9661], [3947, 5447], [893, 9598], [4907, 8229], [2321, 7530], [4556, 7248], [1720, 5620], [2726, 8747], [3430, 6648], [1534, 7150], [845, 3141], [5146, 5212], [4423, 10287], [9464, 10670], [904, 3721], [4732, 5380], [1614, 11236], [8838, 10393], [5968, 6525], [1458, 4280], [4948, 7075], [984, 7807], [3047, 9862], [6685, 9145], [3820, 9785], [1418, 5231], [600, 4784], [3252, 7234], [6793, 9617], [3300, 9934], [4425, 10309], [3494, 6767], [932, 10626], [5820, 5849], [8039, 11450], [4292, 4303], [9128, 9916], [4517, 6865], [1679, 11580], [2589, 7829], [2861, 6073], [6524, 7133], [9978, 11025], [3235, 5725], [5506, 11516], [6213, 8934], [6180, 6542], [2135, 6346], [2201, 10349], [1821, 4466], [2139, 7219], [3192, 6028], [3069, 7126], [139, 6617], [259, 303], [166, 4276], [171, 4620], [6239, 10505], [6886, 7872], [2598, 10924], [5707, 10644], [3025, 3821], [1825, 7968], [1106, 2619], [1464, 6299], [1842, 5693], [5264, 10074], [2098, 7568], [3421, 7204], [7873, 9444], [6283, 7020], [8368, 9423], [2924, 3365], [2748, 7835], [522, 1063], [2743, 7491], [2431, 5684], [5073, 7446], [4792, 11368], [2669, 8481], [3388, 5162], [4467, 5192], [449, 9825], [5184, 8216], [6240, 10706], [705, 1120], [2759, 8374], [6670, 9536], [4155, 6768], [6015, 11527], [2622, 4878], [3680, 8195], [2379, 5120], [1131, 5843], [8846, 9024], [5272, 10665], [5143, 7811], [9809, 10569], [1629, 10257], [686, 2948], [2611, 7348], [4102, 9766], [4179, 5260], [3515, 6034], [5144, 8386], [3358, 8302], [6035, 8365], [3115, 8544], [2241, 5536], [5104, 8987], [3791, 11567], [3354, 4396], [3543, 5049], [960, 10283], [717, 11279], [2802, 7266], [3423, 9828], [7087, 10332], [4594, 6414], [175, 9949], [2226, 7106], [10008, 10755], [672, 10755], [3253, 3940], [1427, 9345], [5966, 10830], [1818, 9755], [1484, 4217], [3810, 9715], [8672, 9379], [6275, 11585], [503, 2086], [2968, 11126], [6054, 9896], [344, 1275], [692, 8374], [8689, 9733], [6607, 6847], [974, 5054], [1158, 1199], [8506, 10780], [5925, 11179], [3151, 10429], [7972, 10846], [2175, 2980], [7529, 10276], [2579, 7759], [8346, 10498], [1149, 2584], [7711, 9758], [1517, 4700], [1450, 3478], [9525, 10355], [5869, 9742], [1674, 8821], [3322, 8971], [5963, 9377], [5378, 6472], [7890, 8188], [2919, 7046], [6613, 10425], [5620, 6005], [931, 7959], [6707, 10060], [6001, 9080], [4411, 10066], [791, 11362], [228, 5772], [5833, 10435], [1915, 11512], [5186, 6652], [100, 6526], [2218, 4905], [1106, 9653], [2247, 4145], [8692, 9980], [4899, 5841], [1847, 4403], [389, 10012], [5110, 10225], [2005, 10624], [3397, 6647], [2423, 6441], [2294, 3587], [934, 4069], [1677, 8314], [1611, 3530], [616, 8863], [733, 9448], [3565, 7170], [3728, 8854], [2327, 6329], [3199, 9264], [1606, 6569], [2141, 3695], [5869, 5904], [4284, 10240], [1877, 11004], [198, 3627], [5874, 6248], [385, 9869], [1012, 9213], [3739, 9393], [7689, 9729], [4482, 6468], [4203, 7053], [6546, 8748], [216, 419], [5885, 6787], [4792, 10831], [4212, 8270], [8907, 10268], [5535, 8660], [4012, 7458], [7193, 9498], [5758, 10395], [7532, 8964], [4734, 10826], [3392, 5498], [8995, 9334], [8315, 9575], [650, 9921], [2887, 4050], [2484, 9295], [1049, 7940], [1361, 8966], [3454, 8978], [8581, 10633], [489, 5250], [1754, 2252], [883, 9341], [4365, 8111], [8415, 8651], [6479, 9000], [3099, 7474], [5305, 6454], [3529, 7058], [2128, 10949], [1163, 2161], [2785, 9758], [6104, 6844], [5197, 7860], [8838, 10824], [4850, 7752], [7817, 10772], [2958, 8373], [57, 8602], [6655, 11269], [3826, 10812], [309, 2407], [7652, 10146], [955, 6719], [4896, 9975], [4741, 6654], [117, 9003], [6457, 10880], [1065, 3854], [8284, 8329], [7893, 8673], [3067, 8666], [347, 605], [4773, 8040], [4427, 7403], [2904, 10365], [1059, 6668], [1434, 5791], [3915, 8948], [1282, 8403], [5570, 6105], [3708, 4683], [6256, 9062], [9093, 11292], [2266, 2911], [3239, 9308], [5016, 8148], [9520, 9824], [10077, 11435], [4920, 11069], [7747, 8447], [244, 1207], [1866, 8804], [5493, 10207], [4846, 6424], [11289, 11432], [7144, 9874], [4192, 4853], [8581, 9023], [3653, 3821], [6633, 7857], [1621, 4462], [1223, 10051], [944, 11390], [841, 1089], [9725, 10579], [2712, 9390], [5107, 6357], [2678, 7527], [7500, 10044], [1275, 10591], [3615, 7851], [406, 7927], [2212, 5253], [6071, 6225], [6590, 10762], [7273, 8540], [4286, 7497], [110, 10036], [3694, 9837], [1051, 8604], [6488, 10485], [1273, 6731], [1979, 11094], [2098, 6844], [360, 7932], [174, 4544], [2132, 5674], [2966, 9283], [4251, 7661], [6646, 8792], [4617, 8950], [4056, 4187], [917, 5756], [884, 9780], [664, 1146], [499, 3553], [11066, 11494], [973, 9071], [5820, 7703], [3245, 11300], [131, 8230], [6691, 8161], [3174, 6172], [4294, 10367], [1407, 2358], [11119, 11505], [1548, 1839], [3676, 5070], [8065, 9240], [1931, 4987], [1365, 2132], [8205, 10748], [3516, 6286], [4282, 5819], [887, 8923], [9259, 10159], [983, 9385], [1545, 10586], [925, 8626], [2909, 4561], [918, 1793], [264, 6665], [7829, 8367], [7201, 8798], [354, 8810], [5920, 7129], [5326, 7144], [2158, 9473], [4121, 10947], [7385, 8326], [1179, 2507], [660, 10021], [3585, 7934], [1677, 6167], [32, 3282], [1907, 9073], [3830, 6984], [282, 1178], [6310, 9916], [3044, 9458], [1645, 10012], [7285, 11478], [2366, 4110], [1361, 11007], [1087, 9684], [4839, 5871], [7645, 8788], [52, 11454], [3107, 4495], [1906, 5064], [6685, 9389], [8972, 9297], [7573, 9851], [2967, 7898], [394, 11568], [382, 10053], [5208, 10814], [3842, 7344], [4590, 5517], [3986, 10506], [3678, 6189], [2090, 3838], [1465, 3786], [2184, 3473], [5394, 10415], [2037, 10593], [10373, 11418], [194, 7723], [1894, 10315], [2033, 6687], [3360, 4567], [2931, 7837], [244, 670], [6513, 10975], [4677, 11528], [1957, 7631], [1893, 10090], [2206, 8335], [957, 6204], [898, 4843], [3511, 7365], [8841, 10103], [3323, 8068], [5225, 9266], [7933, 10894], [824, 3581], [9762, 9924], [3912, 5430], [7556, 8692], [8834, 10063], [892, 1995], [7519, 9564], [8011, 9272], [81, 2719], [9695, 11331], [8604, 10540], [1380, 8350], [3281, 8192], [4642, 4902], [2059, 10136], [4142, 10214], [7201, 10571], [2368, 5229], [3703, 6380], [222, 8966], [3054, 5934], [3856, 7376], [2583, 4070], [1459, 6549], [2983, 10605], [8344, 8492], [6087, 6571], [2107, 7524], [1983, 5014], [8485, 10602], [139, 2673], [3874, 8305], [3977, 9184], [3042, 8152], [3009, 5760], [292, 2134], [610, 7893], [693, 3232], [157, 5881], [6794, 7722], [4860, 5488], [8566, 10382], [5013, 5730], [5018, 6828], [2611, 7592], [7061, 9005], [1526, 3583], [3489, 5057], [1775, 6539], [4693, 9697], [1672, 3408], [3211, 9250], [123, 985], [7971, 8637], [179, 4300], [50, 1446], [5810, 7178], [775, 8495], [7371, 10335], [6169, 11433], [6497, 10710], [384, 7334], [1631, 7140], [4559, 10986], [7011, 8487], [1541, 4214], [5302, 8061], [2749, 4092], [5419, 9400], [4113, 5981], [6767, 9258], [6294, 6594], [3532, 10365], [3491, 3948], [7720, 10115], [4151, 6438], [5918, 10252], [443, 11297], [2766, 10862], [6107, 10151], [214, 8993], [5627, 7070], [1408, 5001], [1672, 9019], [3351, 10734], [1489, 10066], [10895, 11559], [7550, 8364], [3785, 10437], [5712, 5838], [9134, 10219], [4199, 9488], [9579, 10835], [3472, 9159], [3157, 10087], [6113, 9565], [5744, 11388], [9013, 9111], [2507, 3000], [1194, 5580], [196, 816], [6264, 6701], [503, 11324], [1434, 8450], [8476, 8879], [2220, 2943], [3584, 9750], [1657, 4523], [1027, 10543], [2118, 2666], [879, 1223], [8771, 11456], [5729, 6542], [5873, 9704], [2368, 2814], [4876, 7794], [1830, 9554], [4884, 5403], [7301, 10265], [1487, 8434], [5064, 10474], [3514, 5197], [7429, 9484], [891, 4616], [8420, 10825], [6563, 10501], [4252, 5311], [8641, 9481], [7056, 7401], [826, 3440], [638, 9805], [10906, 11293], [21, 8116], [7361, 11420], [11306, 11412], [7608, 11297], [1373, 6992], [6816, 10573], [2987, 10941], [161, 10755], [1302, 5247], [221, 4390], [7406, 10789], [465, 4750], [268, 7619], [9113, 10765], [4815, 8965], [5960, 7740], [4621, 9099], [1983, 8210], [6742, 11159], [6492, 10984], [1318, 2343], [7510, 10738], [3313, 6738], [3994, 9351], [1188, 7188], [1941, 11367], [2461, 7461], [2118, 10505], [6223, 8500], [2687, 6461], [5168, 9618], [7845, 9681], [5897, 9993], [3609, 6507], [10430, 10909], [7622, 11329], [1457, 7763], [2582, 5886], [5135, 10609], [1522, 6660], [3757, 5624], [5575, 10881], [4763, 8751], [5685, 8043], [3634, 4470], [10392, 10802], [2390, 2683], [1353, 3626], [480, 4226], [2785, 8847], [168, 6583], [3039, 9895], [8015, 11381], [4465, 4748], [7075, 10005], [2663, 4131], [1510, 8124], [6327, 11051], [6978, 9291], [4211, 10466], [3488, 7627], [3265, 10773], [1271, 2072], [10890, 11028], [6499, 10195], [7534, 7644], [390, 7692], [1274, 4972], [7960, 9738], [1079, 8668], [5315, 5426], [917, 9838], [9852, 10248], [6372, 10770], [3404, 9777], [2325, 10501], [228, 5829], [915, 5978], [73, 5891], [5768, 6310], [2129, 3392], [10181, 10874], [907, 3084], [7350, 10344], [2682, 4507], [655, 7744], [880, 10306], [648, 11491], [2047, 3767], [3676, 6119], [1985, 2889], [4908, 6391], [219, 8345], [5922, 9379], [2299, 4742], [2121, 5379], [5228, 11442], [5730, 6176], [2772, 10035], [272, 11362], [1829, 4978], [3128, 7226], [5189, 9235], [7090, 9077], [1362, 6266], [10763, 11579], [1510, 6164], [5902, 8353], [2046, 6898], [5361, 6494], [454, 1395], [2152, 7324], [1938, 8304], [6673, 6695], [4988, 11581], [5420, 7074], [5304, 9343], [3367, 7592], [1324, 10296], [9132, 9504], [4113, 10600], [1348, 8438], [970, 2628], [4421, 9255], [3860, 10908], [7824, 9422], [4739, 7844], [1311, 8556], [4365, 9323], [3181, 7587], [2982, 9629], [5910, 11223], [3630, 8352], [1341, 7617], [4512, 8969], [9455, 10315], [680, 5656], [1554, 2248], [4999, 8306], [6766, 9868], [3594, 8291], [3812, 9682], [8258, 8724], [6508, 8297], [2707, 10713], [6449, 11100], [1396, 10333], [3139, 3173], [8, 8767], [1529, 9896], [4444, 6367], [4080, 5124], [9272, 11338], [5903, 9247], [8148, 9653], [3480, 3816], [1446, 10046], [8550, 11353], [393, 1411], [4226, 7578], [1702, 2095], [5021, 5597], [4131, 8472], [4038, 8281], [3971, 7059], [2952, 7080], [3807, 11566], [6957, 7877], [1067, 10400], [700, 8886], [6507, 10300], [4171, 9749], [8688, 10132], [7845, 8689], [1780, 6485], [3542, 9955], [7618, 9464], [3015, 7028], [3643, 4345], [4818, 10499], [4570, 10397], [243, 1443], [10075, 11446], [1465, 4380], [9431, 11344], [185, 684], [2705, 3015], [2975, 4596], [3040, 4991], [540, 4066], [4089, 10474], [887, 1141], [6958, 11461], [1908, 7582], [6708, 10532], [5407, 8211], [7507, 10922], [1031, 3522], [946, 11520], [1851, 7425], [822, 9764], [1749, 9400], [4426, 10217], [4680, 11265], [3204, 9909], [9212, 10825], [10404, 10924], [7159, 11343], [2656, 5351], [10617, 11217], [4982, 10849], [2585, 6639], [190, 3256], [219, 8158], [317, 5283], [1394, 8650], [6760, 10291], [1963, 11022], [4234, 10397], [6971, 8259], [2666, 9452], [964, 6033], [6833, 8325], [7968, 9388], [6487, 7688], [8238, 10969], [3477, 11357], [4256, 11095], [2661, 5321], [2011, 7656], [9750, 10477], [1419, 3580], [1655, 6331], [4020, 11003], [3552, 9437], [1069, 5453], [1747, 9303], [7882, 9994], [2748, 4135], [1621, 7097], [1363, 2143], [4322, 8308], [158, 284], [1119, 11582], [3576, 7929], [7584, 8243], [4633, 6857], [7155, 10015], [3819, 3900], [209, 5884], [3760, 6703], [2345, 9006], [4566, 9018], [5775, 7586], [3960, 6764], [4159, 10357], [2223, 5044], [607, 7061], [3098, 4490], [3528, 9736], [1622, 3134], [906, 2964], [9216, 9738], [6948, 7628], [5821, 7180], [8221, 8655], [260, 6953], [1430, 6347], [1378, 6157], [1309, 8272], [4519, 11050], [1467, 2442], [5269, 10050], [6607, 10718], [1151, 10315], [5070, 5676], [3885, 7879], [6130, 8285], [6443, 6530], [4904, 10487], [7084, 10498], [7700, 8552], [1974, 5814], [6428, 8881], [485, 4196], [1443, 6528], [2064, 2674], [5603, 11400], [100, 10397], [418, 8986], [1970, 9428], [292, 10567], [3795, 3798], [2781, 11333], [1830, 6415], [7647, 8517], [3877, 9465], [3859, 8105], [5215, 10887], [3160, 3408], [739, 1056], [5744, 7444], [8691, 9088], [2185, 9393], [2417, 2546], [3623, 8767], [37, 2477], [1845, 6292], [1747, 3505], [6755, 9410], [915, 5604], [601, 7888], [4338, 7177], [948, 11379], [2459, 4650], [461, 11291], [2059, 7160], [1997, 10446], [3805, 10097], [2078, 4958], [568, 8879], [4066, 8182], [9203, 9771], [3478, 4225], [3999, 9589], [2223, 8695], [4105, 4323], [7150, 9508], [10727, 11548], [5118, 10149], [9980, 10567], [422, 4516], [6358, 8030], [3815, 4749], [1289, 4101], [4776, 9631], [2880, 3717], [2682, 9394], [1290, 1293], [1377, 9583], [5919, 8333], [1812, 3095], [1934, 4024], [1151, 7550], [660, 4280], [2556, 3778], [7721, 8169], [2143, 6083], [597, 3177], [1987, 11205], [8745, 11121], [7589, 9181], [3541, 10939], [4969, 8871], [153, 3136], [5249, 11140], [8991, 11527], [3069, 5467], [2019, 10339], [2200, 2803], [140, 1396], [5986, 8400], [5961, 10787], [2408, 6889], [3600, 8486], [3622, 9965], [411, 9214], [4431, 5381], [5014, 5207], [10683, 10821], [5366, 9796], [3711, 6223], [7878, 11512], [373, 9861], [6066, 10207], [5331, 10741], [350, 8911], [3022, 8630], [1026, 11180], [4197, 8368], [2141, 4451], [2705, 6479], [8742, 10799], [3206, 8158], [5477, 6779], [2335, 4667], [3541, 3718], [5153, 10627], [2238, 4734], [294, 7474], [182, 817], [1639, 3651], [2762, 7363], [8209, 10686], [4646, 6100], [3097, 10093], [4315, 10659], [3164, 4899], [573, 3856], [3219, 4606], [915, 9255], [1132, 1376], [4831, 5099], [2157, 8717], [846, 4954], [822, 10195], [3246, 9812], [60, 1012], [2038, 3518], [6663, 10439], [789, 1387], [1214, 7043], [1682, 2193], [3485, 5664], [2380, 7419], [6707, 10711], [10277, 11580], [7882, 8197], [8472, 11446], [5234, 6620], [4330, 7153], [10154, 10426], [2590, 11578], [1874, 5746], [8209, 9531], [3164, 10160], [8836, 9629], [11103, 11514], [1886, 5756], [1452, 3020], [6704, 9285], [4467, 9494], [202, 10463], [5990, 7663], [759, 11320], [5833, 9931], [2631, 7014], [7882, 10425], [2443, 6963], [5886, 6559], [2837, 11054], [2506, 11449], [634, 10093], [7255, 7294], [5326, 5404], [5978, 6498], [7070, 10897], [6196, 7889], [2177, 2498], [3536, 4797], [5165, 7149], [1832, 11131], [7861, 11426], [7129, 11477], [8213, 9599], [3082, 10454], [9121, 11437], [5028, 10069], [2481, 8544], [6984, 8120], [3379, 4032], [8826, 10765], [550, 9991], [10003, 11330], [9261, 10693], [5868, 8208], [4653, 4907], [9169, 11104], [2189, 5891], [2808, 8380], [9284, 9364], [4552, 10490], [2349, 7277], [4491, 10214], [3218, 3525], [6263, 7956], [5080, 7576], [1985, 4556], [5479, 7093], [6981, 7418], [658, 1014], [5819, 11298], [766, 7148], [1203, 3739], [10010, 10565], [7178, 7181], [3999, 8597], [6984, 7315], [5458, 11477], [329, 1081], [1452, 11209], [1416, 5136], [9533, 11515], [7045, 7187], [1437, 2980], [2717, 4424], [6486, 8886], [103, 1677], [3516, 4814], [35, 984], [4104, 5738], [1609, 10819], [1464, 8186], [812, 4059], [31, 3494], [8396, 9975], [7496, 7998], [3200, 4019], [1897, 5035], [3798, 4877], [2508, 2745], [3328, 8900], [2423, 10743], [6406, 10061], [140, 3437], [57, 8098], [5129, 9292], [3410, 11184], [3066, 4204], [1885, 6903], [2131, 10342], [10795, 11198], [1583, 5784], [3541, 6914], [2297, 5127], [4064, 6689], [2296, 11318], [4242, 10933], [2098, 11333], [4651, 9640], [1868, 5394], [847, 5342], [7262, 8302], [3735, 9789], [3761, 4594], [3358, 9839], [5096, 6499], [7495, 10001], [3414, 3732], [251, 7159], [2400, 4851], [334, 2498], [2773, 10317], [6283, 11135], [4168, 5857], [978, 10147], [2297, 7355], [4308, 5113], [1661, 6390], [1294, 11292], [6373, 10247], [4876, 8014], [3527, 7931], [3724, 8445], [3287, 8444], [670, 6180], [6671, 10089], [1227, 7037], [9506, 11492], [2617, 8649], [4141, 6289], [5660, 10755], [1532, 4640], [6576, 10202], [2342, 3691], [5351, 6213], [3792, 5354], [6912, 9370], [1242, 7695], [6470, 10156], [1420, 5523], [4343, 9779], [4102, 10848], [2827, 3332], [1273, 6227], [919, 4948], [6046, 6603], [7890, 10075], [5328, 9770], [1966, 3188], [565, 7833], [1028, 2639], [475, 11323], [3894, 5607], [10683, 11252], [3212, 11437], [3522, 3749], [7410, 9623], [1782, 4010], [466, 657], [7069, 10084], [7160, 9448], [3853, 8989], [7061, 8688], [5965, 6799], [958, 3748], [712, 1063], [1018, 4553], [4756, 7450], [564, 10210], [6407, 11281], [5684, 10694], [3905, 5365], [9381, 11338], [3694, 8528], [1078, 4954], [5928, 8021], [3208, 4124], [5582, 7384], [721, 9820], [7039, 10218], [2462, 5997], [10689, 11016], [379, 10056], [6726, 8940], [224, 6735], [6135, 7718], [944, 2860], [5049, 7271], [8024, 10963], [9302, 11580], [6719, 11152], [2951, 9544], [6657, 10274], [1332, 1464], [4793, 6527], [4915, 7456], [3793, 4346], [7251, 11390], [8299, 9855], [112, 7618], [8121, 11246], [831, 7305], [1480, 5499], [1051, 3107], [6460, 9356], [3998, 11167], [326, 5857], [3039, 5577], [3006, 9601], [1167, 4221], [2655, 8620], [8886, 9773], [6914, 10465], [6234, 10706], [1820, 8169], [2679, 3729], [6080, 10239], [4246, 5203], [817, 3061], [5643, 7232], [2650, 8626], [7316, 11384], [2490, 4207], [10029, 11104], [7345, 9870], [6506, 9300], [6590, 7493], [1115, 9292], [2861, 5813], [2768, 9786], [4158, 10644], [10424, 10852], [10517, 11043], [2573, 8564], [2509, 4607], [2607, 5896], [3362, 6738], [2001, 10058], [3196, 8920], [10386, 11499], [949, 8441], [4164, 11563], [2592, 3329], [3619, 7333], [1501, 8954], [1318, 9247], [9356, 11361], [4621, 6554], [6360, 8320], [5018, 10162], [6040, 6652], [2619, 11541], [64, 3739], [528, 8569], [414, 7501], [3514, 10141], [4957, 9105], [5387, 7935], [6316, 9152], [4414, 11337], [4075, 4701], [8299, 11278], [6748, 8028], [420, 526], [2285, 5629], [4218, 4228], [5095, 10917], [1826, 10942], [6859, 8798], [704, 10084], [5439, 8475], [1762, 9237], [5558, 6477], [2345, 2647], [479, 10905], [2719, 4551], [2753, 7545], [10156, 11171], [502, 9576], [1120, 2041], [7102, 8152], [7702, 10591], [68, 6840], [4894, 10230], [1522, 9376], [1274, 11526], [8337, 9826], [9462, 10201], [3987, 4830], [5945, 5960], [1991, 8134], [2744, 5897], [3014, 7478], [743, 2441], [3850, 7750], [3571, 9089], [7924, 10596], [3289, 3741], [7003, 8496], [4071, 7160], [420, 6137], [3663, 4891], [241, 4674], [7023, 9148], [803, 10039], [2916, 8074], [1639, 10311], [6088, 8116], [3748, 4440], [3319, 8464], [2543, 2581], [1235, 8915], [7675, 10242], [1450, 10789], [5988, 7885], [1005, 9392], [1385, 9613], [9320, 10094], [4621, 4944], [192, 10043], [2876, 4861], [249, 4161], [3647, 4738], [4273, 7644], [6100, 11509], [4455, 9378], [742, 1061], [2400, 8315], [719, 10691], [1151, 6184], [3143, 6144], [4175, 10492], [1923, 2499], [10742, 10840], [3362, 10389], [5315, 11175], [5103, 6566], [2367, 9306], [4757, 5929], [968, 10614], [5189, 6340], [7649, 7866], [4975, 11484], [4003, 7941], [5434, 9554], [1485, 5656], [6373, 7295], [2512, 3244], [1603, 3433], [4748, 5816], [990, 4896], [8888, 10413], [8384, 8436], [6918, 7768], [483, 6785], [1787, 2207], [4340, 4678], [4159, 8804], [3146, 8670], [606, 4906], [1941, 6057], [157, 6800], [5511, 7680], [3712, 10744], [3805, 6771], [5037, 5545], [1432, 7873], [1220, 3264], [2529, 10364], [5172, 5181], [4857, 6109], [414, 5086], [930, 10106], [7964, 8385], [922, 2294], [3700, 9579], [519, 5287], [4557, 8476], [4844, 7752], [701, 7021], [4818, 6531], [5007, 9436], [1292, 10872], [2016, 10903], [175, 4696], [1295, 4727], [1097, 3988], [629, 2422], [1260, 9055], [73, 1386], [3892, 5211], [2149, 5955], [1691, 11493], [1228, 3101], [2811, 5108], [2814, 8789], [3769, 10473], [1503, 5780], [3916, 6736], [461, 10543], [5796, 6455], [7038, 11579], [1271, 3178], [6747, 11403], [2203, 9574], [5821, 8205], [4749, 10874], [4348, 10530], [2606, 3548], [83, 7335], [2323, 5145], [1483, 3219], [1319, 8480], [4498, 9693], [4400, 6906], [4119, 10828], [7575, 10629], [6456, 7790], [1566, 5324], [5234, 7482], [7042, 11297], [1504, 7829], [7836, 11343], [2053, 8825], [5573, 10331], [243, 8347], [934, 5232], [1371, 5987], [2829, 5259], [6595, 10204], [1550, 10833], [146, 7633], [10457, 11447], [705, 9317], [1163, 3779], [1180, 5638], [2413, 3102], [4406, 5916], [8938, 10394], [4182, 11126], [3779, 9201], [5057, 10572], [190, 3394], [1905, 11182], [6702, 7041], [2971, 7944], [2501, 5551], [4235, 6973], [3581, 6183], [3591, 6871], [2710, 9108], [3959, 4823], [3016, 10346], [3895, 7282], [2802, 5664], [4832, 8360], [785, 7337], [6778, 7975], [8521, 11395], [7899, 8608], [2171, 5797], [2365, 6040], [3948, 8047], [204, 6833], [714, 5592], [9353, 11144], [5557, 7488], [6279, 10856], [6078, 6436], [5162, 10342], [4310, 5403], [3219, 10274], [4704, 8740], [3496, 6610], [1257, 5992], [9598, 11325], [2621, 6383], [8288, 11170], [217, 1002], [5428, 5738], [10655, 11007], [5863, 11328], [8067, 9481], [7170, 11185], [5539, 6508], [3514, 4156], [2990, 10572], [750, 4848], [713, 11382], [4789, 10891], [4440, 10737], [9529, 9626], [5463, 10081], [7925, 9024], [1882, 4889], [5192, 9029], [3535, 4629], [4218, 4659], [1293, 4494], [7234, 8352], [1358, 9053], [6588, 7423], [459, 10684], [984, 6368], [1856, 7051], [1935, 4900], [5928, 9070], [6583, 10462], [2727, 9007], [8073, 9272], [5053, 8089], [4148, 9932], [1536, 3848], [1102, 7528], [37, 7958], [4995, 8084], [389, 5377], [3770, 10511], [4613, 5538], [5136, 6811], [4699, 10974], [215, 9950], [2271, 7451], [9996, 10566], [4834, 10610], [6410, 10692], [7124, 10035], [9457, 10288], [5922, 11103], [685, 5146], [57, 5577], [226, 10459], [58, 2015], [4077, 5154], [1556, 5604], [2509, 6461], [8828, 9713], [9260, 10124], [6216, 7793], [5431, 10492], [1479, 6323], [1420, 4962], [2750, 6523], [4558, 10338], [5711, 6345], [5158, 8613], [8725, 9965], [43, 7749], [1753, 4613], [10500, 11388], [1916, 6297], [7704, 9913], [1880, 4388], [9316, 9652], [1224, 5023], [8445, 10325], [4278, 5036], [984, 8946], [728, 4819], [6793, 7023], [4618, 8110], [878, 2134], [136, 743], [3520, 5394], [8573, 9544], [233, 10475], [686, 5347], [2714, 7216], [8400, 9801], [1994, 8058], [5166, 8100], [715, 7216], [159, 5049], [9649, 9653], [4162, 9183], [1550, 7263], [8623, 9257], [10104, 10233], [240, 7108], [10895, 11486], [458, 8499], [4720, 4980], [7739, 8190], [3040, 5292], [4341, 8367], [493, 10937], [3222, 11190], [211, 5589], [3602, 4995], [8118, 10438], [1074, 7684], [5024, 11026], [695, 11071], [7079, 9056], [7015, 11515], [702, 5045], [3744, 10713], [6615, 7609], [4077, 9610], [2272, 5312], [2365, 5503], [5508, 7059], [4858, 7142], [496, 7047], [1303, 2417], [1640, 5220], [2204, 7248], [5652, 7188], [3004, 5611], [6646, 8800], [4689, 11278], [9202, 10788], [1287, 10959], [1237, 5180], [7080, 8503], [912, 5420], [7892, 10633], [263, 810], [5221, 11516], [176, 7981], [2934, 7474], [1201, 2490], [5183, 7999], [2936, 7520], [2523, 9071], [7261, 7733], [6323, 9436], [8377, 10274], [7692, 10171], [4144, 10781], [1941, 9066], [85, 1827], [874, 6417], [5299, 6080], [3448, 5601], [657, 1464], [6006, 8416], [3071, 3399], [9612, 11194], [829, 2510], [2831, 9574], [3022, 6890], [2358, 7664], [1298, 7684], [3421, 10571], [4575, 10186], [1552, 8732], [3577, 11084], [1201, 1335], [8518, 9351], [244, 2988], [4468, 4647], [765, 1936], [556, 10430], [7371, 10880], [802, 7453], [3104, 5387], [891, 10154], [550, 9861], [4505, 11295], [3416, 6413], [6668, 8693], [3782, 8456], [5466, 10515], [2037, 8373], [3897, 9345], [3733, 10442], [2222, 10755], [99, 5616], [10792, 11252], [1523, 6058], [2043, 2152], [3259, 8307], [3352, 4334], [6125, 11275], [4633, 9386], [2047, 8687], [9364, 10287], [1833, 10421], [1391, 2906], [3290, 6839], [769, 7289], [3449, 4617], [3289, 7368], [3196, 10587], [9507, 9814], [6160, 10680], [831, 11550], [1757, 5299], [7641, 8623], [8128, 8741], [1254, 10340], [2035, 10905], [690, 1896], [9005, 9014], [502, 2599], [8786, 9650], [404, 2064], [2864, 3590], [3712, 5377], [5740, 11410], [2091, 7804], [4085, 8591], [7997, 8443], [722, 10452], [8093, 8905], [7344, 11261], [4789, 5711], [892, 2003], [4231, 11045], [2648, 5628], [7493, 8351], [2916, 4130], [340, 4873], [1422, 7830], [3414, 7790], [3783, 9350], [5118, 11255], [2790, 4930], [4383, 11035], [1632, 2163], [6862, 11113], [9225, 9296], [4901, 9685], [4053, 7898], [782, 7096], [4897, 5779], [4106, 5280], [6861, 10861], [975, 10874], [101, 7866], [1658, 3734], [3960, 8838], [8786, 8845], [3457, 10469], [3832, 9592], [7070, 8002], [3419, 6979], [57, 6813], [2052, 10454], [7248, 9994], [1842, 3262], [6841, 11333], [807, 9196], [494, 4535], [1797, 6902], [1071, 6044], [6339, 7150], [2051, 10202], [931, 3755], [55, 10500], [1330, 7436], [1196, 4992], [3940, 6277], [265, 1450], [1259, 3062], [326, 5109], [7488, 9050], [3531, 5291], [5241, 8571], [5762, 7519], [8036, 10575], [1969, 7544], [8810, 9969], [1692, 2540], [4362, 8602], [2115, 7369], [3520, 10013], [3026, 7226], [5765, 8167], [1488, 4238], [3528, 7622], [4015, 7740], [436, 9037], [1489, 7846], [687, 6404], [498, 3499], [6103, 8162], [5036, 7011], [683, 2498], [4387, 6565], [1933, 8237], [3726, 4604], [7620, 8014], [9856, 10586], [1981, 7904], [4811, 11215], [4467, 11405], [8866, 9847], [5714, 10457], [9009, 10155], [2350, 9464], [5748, 10041], [4972, 9820], [607, 10208], [990, 9946], [8540, 10616], [7917, 11391], [4240, 9147], [10690, 11162], [3591, 10953], [3799, 5240], [951, 6985], [9005, 9632], [2593, 3156], [1459, 4947], [2334, 10809], [4175, 11354], [5546, 7998], [7726, 8009], [6501, 10436], [5043, 7377], [6970, 9194], [3391, 10491], [5848, 6084], [5199, 7890], [5068, 9127], [6499, 10740], [10158, 10900], [5488, 10652], [3972, 6457], [835, 1683], [8168, 10986], [849, 5553], [148, 11333], [5965, 7019], [3682, 6883], [2627, 7247], [356, 5620], [3680, 10220], [3556, 7710], [734, 11430], [3304, 10872], [4236, 10852], [7006, 7696], [471, 9515], [2737, 8546], [2551, 5158], [1253, 6518], [3987, 7115], [436, 4044], [840, 4659], [7376, 9858], [4982, 5165], [5536, 6505], [2143, 4774], [2242, 11169], [3515, 5026], [1519, 7576], [1111, 6061], [1804, 4527], [1991, 10769], [1766, 1791], [3559, 4574], [4725, 11366], [611, 9121], [5246, 10314], [7150, 10427], [6338, 8297], [9159, 11522], [7739, 11199], [12, 7257], [1419, 10728], [6044, 11233], [2012, 11242], [665, 6324], [2714, 9070], [408, 10640], [2223, 9964], [1406, 3326], [1694, 9620], [8965, 10875], [4574, 10042], [7507, 7816], [7598, 7934], [5879, 9072], [3701, 4226], [249, 6796], [4051, 7234], [6157, 8262], [1556, 6653], [1148, 11554], [3206, 3466], [9635, 10296], [732, 6391], [799, 1197], [5721, 8082], [2006, 3856], [3318, 10473], [6709, 9879], [8949, 9187], [769, 8875], [253, 9547], [10091, 10697], [9755, 11502], [8132, 10096], [3020, 9503], [6263, 8257], [5989, 9940], [4184, 9052], [4681, 9858], [6324, 9664], [1959, 5888], [6322, 8837], [7196, 9593], [9219, 11118], [7595, 9864], [8369, 8504], [7180, 10588], [1490, 4097], [2398, 10099], [10195, 10646], [9768, 11333], [272, 6914], [430, 8254], [513, 3593], [2109, 9215], [8140, 10337], [5435, 8226], [7890, 9408], [261, 6001], [1582, 4036], [537, 5118], [8725, 10209], [1603, 8296], [1632, 6782], [6052, 10265], [290, 1454], [1232, 9292], [917, 1552], [9067, 10323], [9280, 11370], [7015, 9531], [3746, 5392], [4859, 7662], [6196, 6230], [2311, 4037], [3983, 10997], [3522, 9848], [244, 7875], [1405, 1491], [1577, 2537], [995, 9729], [2425, 4324], [675, 3897], [685, 4585], [5905, 8683], [9267, 9603], [4974, 5141], [5507, 5604], [7716, 10517], [5785, 11210], [7901, 9516], [1115, 1136], [3405, 11141], [9077, 9856], [6902, 10943], [3874, 9899], [1598, 3764], [4259, 9710], [3100, 4089], [5246, 7899], [8485, 9163], [3597, 8278], [1138, 8852], [1482, 9416], [1348, 6218], [453, 8749], [4992, 10234], [1224, 10878], [3344, 3668], [238, 6875], [35, 6546], [2631, 7933], [3023, 10443], [4045, 7687], [4244, 9028], [8628, 8690], [502, 2225], [1623, 11526], [4832, 5034], [2831, 7240], [1411, 7671], [1525, 2323], [1098, 3010], [3143, 6014], [1871, 8595], [273, 5556], [2298, 7908], [687, 11023], [4111, 6405], [2552, 4792], [5076, 8777], [3822, 6302], [243, 7599], [1642, 6291], [4699, 6575], [1017, 6239], [272, 1921], [4043, 7210], [3950, 4767], [2513, 9001], [4841, 8910], [2671, 10341], [2822, 9756], [2411, 8724], [6440, 8387], [4914, 7668], [1424, 7502], [2313, 11572], [3226, 11502], [1375, 3853], [3349, 9623], [4581, 9895], [1439, 5531], [694, 4623], [2684, 10172], [7689, 10144], [5020, 9942], [5827, 9476], [8246, 11001], [5693, 7032], [4106, 8289], [1251, 8863], [11053, 11110], [3615, 4265], [3295, 4849], [4234, 6754], [2955, 5912], [3760, 3865], [6124, 6437], [1860, 6877], [5411, 10702], [8859, 9888], [2228, 5583], [645, 3576], [6307, 8773], [10785, 11480], [5209, 6057], [6771, 7187], [2944, 10634], [5031, 7448], [3682, 8119], [2295, 3772], [4037, 9219], [2091, 5470], [2311, 7688], [4439, 6755], [3336, 10111], [5275, 11191], [1839, 7878], [1932, 4659], [6042, 9414], [6634, 7074], [1539, 8340], [164, 7036], [790, 9942], [6315, 8260], [4926, 10256], [2519, 11020], [6629, 10113], [6319, 11385], [1715, 3089], [908, 1303], [273, 6979], [1405, 2109], [226, 717], [4038, 8289], [9466, 11562], [7685, 9570], [488, 1656], [2552, 9598], [9577, 11578], [240, 11353], [4691, 10739], [5582, 10718], [2066, 9331], [5111, 8100], [4591, 9754], [3846, 5436], [1718, 5615], [4916, 5380], [4174, 10405], [4358, 6550], [1180, 1775], [782, 5112], [5675, 7095], [2750, 6930], [5637, 10775], [7533, 10273], [1929, 9218], [6853, 10514], [2643, 8561], [4389, 11498], [6936, 9236], [8082, 8236], [597, 8715], [181, 6585], [5623, 9564], [10547, 10860], [2044, 10861], [337, 7098], [1395, 6251], [2241, 4959], [3361, 4990], [1422, 8074], [5864, 9626], [1422, 11457], [2625, 6827], [286, 6759], [979, 10887], [6020, 7106], [2370, 3275], [420, 6170], [2120, 8762], [4372, 10339], [2901, 2911], [528, 9675], [3745, 7208], [8156, 8693], [7122, 8436], [6507, 6820], [9394, 10665], [655, 7915], [4542, 5273], [3448, 6463], [9087, 9956], [7399, 10407], [2576, 9917], [4004, 7095], [2224, 8711], [3698, 6988], [2602, 8105], [7619, 9592], [4095, 10596], [1175, 10775], [8692, 9053], [8007, 8950], [1874, 7551], [7794, 11286], [258, 3906], [2714, 8696], [6102, 7831], [6163, 11490], [5074, 6608], [807, 8285], [1243, 11067], [5262, 10042], [4049, 6814], [432, 5375], [4170, 9026], [10294, 11056], [112, 2926], [3291, 4139], [5810, 7780], [2945, 7666], [6048, 9823], [5313, 10357], [4910, 9186], [5156, 6209], [636, 8938], [6856, 8801], [4815, 5916], [2809, 7778], [1386, 3774], [4459, 4591], [5491, 8185], [6200, 7184], [1138, 10088], [3058, 8482], [2127, 11356], [5298, 8544], [3899, 9098], [6397, 7698], [2312, 3939], [2212, 6741], [6446, 6836], [8846, 9065], [995, 6777], [4444, 9571], [1426, 2799], [2401, 6613], [278, 720], [8433, 9835], [1122, 5771], [3603, 8174], [3738, 7810], [11174, 11576], [4538, 6173], [2456, 3287], [7144, 7524], [5750, 9176], [4468, 10315], [361, 9241], [3454, 11434], [2202, 3370], [636, 11166], [2260, 6758], [3903, 8816], [228, 3235], [5993, 11563], [9852, 11037], [4124, 7472], [5061, 8550], [4892, 6297], [8503, 10173], [4093, 5126], [1070, 8590], [383, 7660], [572, 3395], [3108, 10423], [3402, 4454], [1592, 3976], [530, 3923], [2159, 5521], [4105, 5136], [5877, 7042], [7707, 8926], [399, 1373], [5058, 7124], [4339, 7410], [483, 10119], [5927, 6755], [3998, 11281], [77, 2261], [1109, 6609], [6214, 6785], [2415, 3612], [2468, 2492], [301, 7604], [2761, 9884], [3054, 5999], [7258, 10389], [5831, 7397], [134, 6151], [4666, 9875], [5139, 6123], [1066, 10295], [5429, 9080], [3948, 7380], [5675, 6103], [3743, 3942], [30, 9211], [4388, 7652], [427, 5649], [1645, 2051], [3520, 7842], [5812, 8094], [347, 3411], [930, 10407], [897, 8015], [57, 3837], [2426, 5999], [6965, 7484], [3487, 8833], [5189, 5836], [79, 1152], [1393, 8596], [9390, 9955], [2594, 7303], [799, 7857], [4319, 9363], [2915, 6163], [4690, 7586], [1235, 10639], [7952, 8302], [1131, 9535], [7896, 11376], [6081, 9800], [7428, 9056], [856, 4577], [4641, 7320], [3514, 6872], [4076, 8073], [8996, 9627], [1083, 6461], [3981, 5934], [8704, 9226], [460, 6455], [1017, 11476], [1853, 5332], [2009, 5845], [5180, 7197], [142, 4833], [367, 7395], [1328, 6615], [1228, 8663], [4865, 11508], [4202, 6468], [3646, 4301], [543, 5527], [727, 8088], [5008, 8029], [6919, 9313], [7003, 8260], [6982, 7383], [6295, 10617], [9378, 11368], [5347, 10878], [4865, 5442], [8179, 8600], [462, 9510], [3144, 9917], [1619, 6390], [1116, 11431], [3849, 8393], [234, 10033], [9327, 11029], [5958, 8938], [5741, 11155], [6307, 7594], [732, 11441], [2850, 9820], [4099, 6289], [2504, 9183], [634, 4490], [9441, 11316], [1225, 8341], [6359, 7003], [2222, 3054], [78, 3454], [513, 9798], [6490, 9149], [2156, 2434], [2937, 2999], [9812, 10670], [970, 4035], [8509, 10932], [3554, 3907], [218, 2710], [1747, 7864], [6351, 8990], [5222, 5463], [3329, 8892], [1403, 6519], [4579, 8215], [2108, 8028], [9927, 10778], [4010, 9226], [1854, 10363], [2914, 3173], [765, 3229], [2669, 9758], [2631, 7022], [148, 7202], [1491, 8968], [6866, 10725], [2884, 8599], [7201, 10449], [2443, 3938], [3336, 4744], [8498, 8837], [2405, 11001], [1146, 1766], [6331, 7533], [7687, 9561], [1025, 10107], [6788, 8940], [3770, 8584], [988, 3809], [4017, 8461], [991, 1074], [4419, 10161], [6876, 8006], [8214, 9428], [3348, 11520], [8463, 10132], [2849, 8389], [366, 4405], [864, 8819], [520, 2593], [8393, 8612], [5153, 9375], [4680, 6711], [1173, 3158], [2100, 9964], [1136, 10446], [5388, 5485], [3151, 4940], [2344, 3908], [1473, 6833], [1476, 10514], [5237, 10951], [1407, 8465], [5703, 10192], [1246, 10991], [7388, 8689], [2235, 5843], [2887, 3554], [218, 7516], [4576, 5957], [4170, 5269], [8589, 10779], [456, 3143], [11018, 11494], [3237, 10699], [2012, 5956], [2700, 10494], [2861, 4935], [9213, 10579], [294, 8450], [7171, 10532], [3036, 3246], [2881, 5587], [2440, 5844], [2968, 8215], [979, 5520], [4246, 9586], [2100, 9159], [7296, 7945], [6802, 11574], [7363, 9921], [1537, 9985], [4390, 5578], [1693, 8246], [755, 3533], [1027, 1777], [1441, 6490], [3798, 11301], [4835, 9577], [3359, 8221], [2619, 4247], [1705, 8256], [189, 1809], [2556, 3144], [2611, 7015], [9828, 11417], [3914, 9382], [8299, 10400], [713, 3657], [8123, 8454], [3696, 7210], [4909, 8186], [7056, 11467], [4723, 4798], [4100, 5573], [1016, 11013], [1752, 7671], [329, 3667], [7477, 10184], [2635, 4726], [6, 947], [4142, 7677], [2059, 10982], [4583, 8551], [311, 4966], [5166, 10629], [2435, 7297], [2769, 6419], [656, 1968], [2870, 11389], [3546, 9494], [2739, 7708], [4358, 9372], [779, 10669], [528, 6886], [6102, 9230], [648, 5490], [1238, 2323], [745, 8052], [2703, 9182], [8948, 10041], [359, 4606], [6678, 7104], [9150, 10899], [7643, 7978], [201, 6649], [6826, 11139], [2698, 5024], [5174, 7083], [2154, 10064], [2099, 3941], [5947, 7006], [5738, 6832], [2276, 8714], [4198, 7181], [4297, 7160], [7913, 9128], [1032, 3894], [722, 9330], [6094, 10816], [3141, 10855], [3050, 9239], [1081, 3032], [3730, 5965], [603, 10577], [5678, 11288], [321, 10110], [6291, 6792], [8591, 11069], [2779, 2895], [4917, 9096], [5297, 8563], [6696, 8009], [9901, 10443], [3337, 7360], [935, 9222], [4266, 7823], [2614, 10937], [5573, 7680], [7479, 8620], [2126, 11348], [1459, 5435], [5293, 8794], [374, 1426], [5671, 7434], [4785, 9327], [6789, 10802], [8774, 9591], [369, 10881], [8648, 11172], [2146, 8967], [964, 8058], [5902, 6808], [2631, 8258], [1602, 7591], [4501, 6535], [3169, 9065], [4413, 4436], [1951, 6247], [5039, 7342], [8614, 9309], [1919, 6709], [1420, 5076], [1974, 6416], [5764, 10257], [1471, 5795], [7926, 8154], [1412, 4434], [5108, 8640], [3125, 9143], [4, 7908], [2564, 6632], [1563, 2351], [1497, 3983], [944, 6251], [1312, 1951], [2430, 7571], [68, 164], [6268, 7666], [3493, 4816], [874, 8141], [8965, 9135], [3301, 8029], [6621, 7969], [963, 10815], [1354, 4055], [1121, 11401], [3414, 8091], [300, 1611], [5440, 7635], [724, 7042], [333, 7386], [2537, 11201], [3191, 5575], [3160, 4010], [6981, 8662], [1327, 1828], [3371, 8394], [2042, 4025], [3055, 3435], [2093, 4744], [164, 8516], [909, 3008], [5642, 6988], [2063, 8285], [1781, 9353], [1405, 10005], [1566, 10862], [3765, 8671], [10368, 10928], [809, 2777], [5000, 6208], [2357, 4975], [4315, 6105], [5254, 9508], [5567, 7753], [3112, 10735], [5345, 9626], [5386, 9627], [1518, 10821], [1146, 8963], [2328, 3456], [4846, 9124], [6733, 11542], [5776, 9031], [855, 5000], [9545, 11241], [6126, 9787], [2324, 2933], [3750, 6454], [6396, 11368], [2105, 4323], [5706, 10921], [2168, 8055], [6146, 11193], [4372, 6208], [2149, 3117], [7329, 8540], [8125, 9413], [1124, 6329], [5355, 6907], [1994, 9595], [7255, 7278], [4230, 5751], [3949, 9673], [1928, 3683], [3142, 8641], [5752, 6728], [4599, 11475], [1951, 9898], [4263, 11526], [3268, 10443], [1900, 6146], [1726, 10719], [7524, 8607], [492, 3204], [5584, 8056], [2470, 4986], [644, 10391], [9257, 9804], [3624, 3847], [1330, 6932], [565, 1238], [731, 8855], [503, 9405], [912, 8112], [881, 2383], [1003, 1060], [5729, 11039], [4647, 10711], [3704, 5654], [1951, 5710], [6415, 10963], [5075, 7216], [1582, 9785], [6569, 8397], [2083, 4294], [710, 10206], [4433, 5655], [4964, 5291], [9852, 11094], [9069, 9702], [4091, 11553], [3613, 8545], [10305, 10847], [594, 2302], [5798, 5867], [2465, 10603], [8041, 9610], [3963, 9274], [6014, 6431], [4142, 11491], [847, 6131], [5542, 7375], [2025, 9550], [4386, 5435], [4165, 9408], [5264, 8562], [1331, 5197], [3759, 7939], [2971, 3951], [2984, 9074], [1551, 4382], [1172, 7769], [666, 2713], [4678, 11097], [5746, 10938], [10655, 11202], [3930, 5727], [2445, 5009], [7851, 8331], [3503, 4162], [5467, 8490], [8438, 9030], [6770, 10857], [6631, 8069], [163, 4694], [3081, 7852], [1348, 9284], [7377, 9579], [598, 1616], [583, 6219], [1768, 10809], [5166, 7222], [3141, 4870], [799, 10947], [6929, 11294], [2113, 7811], [7612, 11324], [1358, 6215], [4754, 5965], [526, 2652], [206, 7400], [3449, 6154], [5309, 10159], [3721, 4398], [1890, 3043], [9921, 10402], [3407, 5928], [11163, 11362], [487, 6861], [3599, 6098], [7951, 11140], [3493, 9085], [7646, 10504], [6297, 11175], [941, 7216], [6046, 7392], [4621, 6725], [7011, 9764], [3335, 4712], [968, 2596], [7647, 10355], [10298, 11449], [3641, 5169], [3147, 8798], [5038, 7952], [7097, 9134], [3417, 3963], [4449, 7557], [3416, 5990], [4037, 8552], [3596, 4645], [6741, 11192], [2916, 9050], [5614, 9990], [2546, 3855], [421, 4305], [5503, 6187], [4004, 9543], [759, 9962], [1688, 4763], [8790, 10905], [3382, 7510], [725, 8099], [4916, 5868], [5015, 11509], [3303, 7402], [7260, 9663], [8567, 9520], [723, 4239], [3240, 7053], [4787, 6397], [3084, 9923], [4510, 7028], [5188, 10124], [5568, 10345], [7393, 11131], [839, 8736], [357, 8992], [6365, 7656], [4938, 6916], [3203, 7521], [2950, 7075], [7616, 9833], [4008, 6228], [4031, 11315], [6298, 9036], [2119, 6396], [5086, 9416], [4680, 8728], [4525, 11069], [7939, 8015], [5948, 8657], [3018, 3984], [5664, 8898], [7534, 10181], [9492, 11311], [405, 11261], [433, 477], [7786, 8150], [4398, 9015], [6124, 10576], [4792, 5936], [2307, 6043], [4043, 4128], [3144, 9169], [1212, 7762], [4192, 7634], [1528, 5524], [4074, 6824], [304, 4389], [4629, 11018], [4593, 4945], [7588, 10767], [2139, 10781], [6270, 9997], [3037, 5515], [8257, 9613], [5366, 11284], [1019, 9969], [2129, 2896], [1499, 2500], [3157, 9754], [979, 4154], [7508, 11188], [5796, 7081], [2779, 7327], [570, 3168], [1836, 8686], [568, 2341], [1213, 9461], [564, 11267], [5891, 7318], [354, 7485], [595, 4164], [6916, 10495], [3934, 9796], [5207, 10069], [9056, 10353], [3483, 4447], [4561, 9170], [710, 8059], [7191, 9387], [178, 1782], [6872, 10573], [7424, 11086], [7174, 10911], [2392, 10422], [10723, 10903], [3973, 8596], [3035, 3883], [10220, 10282], [3501, 9540], [5813, 11168], [3991, 9175], [670, 9010], [4459, 5079], [597, 9471], [6355, 7960], [2396, 9790], [2996, 5059], [7286, 8469], [5698, 6872], [1488, 4165], [1532, 10853], [2000, 6003], [9899, 10991], [4235, 5721], [597, 9821], [2419, 11090], [3544, 11465], [3143, 11121], [2740, 9950], [10448, 11206], [2762, 5013], [8266, 8870], [559, 10468], [5471, 10249], [6211, 7807], [540, 5530], [7580, 10794], [271, 6803], [237, 1557], [4839, 6774], [4097, 6137], [6456, 7611], [5463, 6601], [3410, 9371], [4613, 4741], [10686, 10970], [5491, 7868], [515, 10546], [5706, 9742], [6205, 7211], [2031, 4161], [1747, 5156], [2500, 2919], [1968, 10228], [8091, 9404], [1088, 8903], [8932, 10020], [1062, 7682], [6320, 8100], [6755, 8028], [1555, 10998], [2988, 10028], [5047, 11210], [8555, 11201], [6915, 8660], [8964, 9908], [3422, 9731], [7398, 11288], [4721, 4809], [8526, 9682], [1888, 9868], [9367, 10298], [9666, 10365], [6648, 10009], [3355, 4722], [2814, 10033], [360, 9453], [425, 9848], [1941, 3463], [2727, 4372], [7730, 10687], [6866, 8367], [5051, 7545], [9469, 10201], [6669, 11236], [6920, 8603], [4337, 11585], [6479, 8106], [5732, 7125], [1160, 10418], [5107, 7073], [5692, 9978], [5609, 8223], [1743, 10244], [9368, 9745], [3045, 3341], [3139, 8638], [10958, 11388], [2923, 7293], [9086, 10032], [10755, 11059], [115, 8467], [9289, 10391], [3600, 6754], [2655, 5034], [6961, 7449], [5063, 11288], [1171, 7170], [1505, 6292], [4557, 6232], [7707, 8959], [6138, 6658], [8235, 11330], [5668, 8429], [7132, 8270], [475, 2744], [7319, 8096], [4469, 9768], [1723, 11066], [3898, 4317], [1907, 7211], [3562, 10784], [4646, 8906], [2065, 8551], [382, 9346], [3682, 9388], [7947, 11048], [3837, 6293], [4332, 10436], [1243, 11368], [1059, 2391], [1303, 5003], [1154, 9044], [8805, 9766], [2260, 10897], [5229, 11334], [3906, 10220], [900, 4963], [1951, 7109], [25, 11152], [300, 6661], [647, 10152], [16, 486], [2445, 6863], [9343, 9822], [9291, 9632], [2386, 9666], [6954, 9637], [6460, 8348], [4834, 10431], [3584, 8075], [41, 4865], [540, 6498], [4141, 8932], [8435, 9832], [5045, 7618], [659, 713], [1804, 2494], [3882, 7890], [34, 10460], [1744, 11488], [1235, 2751], [8049, 10146], [3780, 4580], [3322, 3702], [3623, 6848], [3220, 11339], [4744, 9733], [7235, 11326], [1540, 3737], [5958, 6393], [5736, 8266], [4996, 7702], [8943, 11527], [3026, 5811], [7516, 10033], [761, 7382], [8130, 11424], [3930, 10159], [4985, 9795], [3653, 5155], [4670, 8471], [377, 4009], [4058, 6372], [2332, 11257], [7349, 8580], [3364, 8435], [1459, 11103], [1223, 8352], [7472, 10865], [1772, 2932], [3694, 4405], [4889, 9683], [1682, 6422], [577, 7453], [2990, 9133], [4356, 6187], [2145, 5365], [4970, 7578], [3387, 6325], [8263, 10613], [665, 6519], [702, 11282], [3412, 8075], [5561, 5767], [833, 2131], [5960, 9448], [3694, 4755], [3093, 9261], [4244, 8605], [1671, 8111], [5054, 7656], [2134, 3671], [4804, 6727], [2651, 11545], [6137, 7805], [1560, 10754], [1315, 3753], [1091, 2547], [2703, 8702], [5256, 7009], [4051, 10812], [4827, 11033], [2738, 11140], [3340, 9488], [1336, 1597], [3949, 10535], [687, 1151], [1036, 1305], [2455, 7819], [1889, 9128], [2305, 4842], [1152, 2419], [6377, 6861], [5900, 7461], [10325, 11288], [6115, 9335], [9927, 10461], [4977, 7944], [7489, 10414], [333, 9671], [4414, 9524], [2635, 9857], [5692, 10141], [7273, 9069], [9043, 10148], [1486, 8307], [6365, 9860], [9532, 9558], [2252, 11223], [10276, 10995], [159, 3260], [4959, 6964], [4706, 8770], [3455, 3560], [5170, 7184], [3587, 5177], [1441, 11166], [10030, 10939], [526, 1741], [1307, 2306], [3705, 7118], [3791, 9144], [4410, 4463], [3321, 3745], [5380, 11343], [526, 11540], [3632, 7579], [4757, 7954], [1123, 3128], [550, 9682], [4944, 7780], [7119, 7447], [703, 4262], [1016, 2507], [5337, 7482], [1098, 4010], [1534, 4540], [1317, 6003], [7449, 9429], [3906, 10383], [720, 1583], [6516, 9224], [6987, 11061], [593, 5191], [7191, 7858], [4049, 9156], [1439, 4653], [157, 5792], [5229, 9992], [10179, 10257], [3727, 7415], [1710, 9088], [6061, 10522], [6131, 11261], [4672, 5348], [4235, 5347], [83, 366], [7056, 8572], [6058, 10224], [8745, 10975], [2942, 6327], [3110, 8355], [555, 2805], [1181, 6465], [1802, 9027], [4166, 4429], [1115, 8097], [7426, 10734], [289, 7789], [2329, 11173], [868, 10849], [10937, 10996], [7606, 9389], [1627, 9211], [703, 6840], [8118, 11227], [3655, 8828], [1809, 8693], [1423, 9381], [1747, 7815], [4424, 7878], [2158, 2431], [8040, 9092], [4022, 9561], [4392, 8340], [1720, 2205], [629, 7830], [2778, 5522], [4398, 5876], [1810, 8514], [1101, 3853], [9903, 10335], [3143, 3176], [5133, 8725], [2362, 5994], [3415, 4803], [4977, 5179], [1121, 7888], [949, 2708], [671, 6147], [1734, 9808], [6894, 9691], [1925, 2960], [5631, 7100], [174, 2308], [6268, 9414], [1199, 5485], [7202, 10975], [3188, 5928], [4657, 10277], [2501, 11414], [1104, 6379], [2537, 11071], [235, 3715], [2413, 9315], [3650, 9931], [5176, 8398], [4706, 6005], [691, 7903], [4796, 5898], [3022, 7329], [2776, 3890], [6134, 7320], [2022, 5902], [2969, 6914], [125, 8431], [4607, 6376], [7103, 10565], [1339, 11507], [1554, 9217], [1714, 11384], [302, 399], [2732, 10384], [1020, 7031], [1522, 1765], [5527, 8224], [960, 5445], [2161, 4152], [1768, 7833], [3380, 8326], [265, 8037], [3124, 9834], [2125, 11261], [9227, 9489], [2219, 8644], [5605, 6952], [2781, 9845], [1305, 2073], [5891, 6757], [8158, 8642], [3423, 10251], [2014, 10117], [6625, 6752], [4913, 9061], [3300, 9097], [334, 4767], [1734, 11231], [8678, 10371], [1990, 8942], [115, 3905], [7186, 8482], [6226, 6454], [6532, 7692], [4407, 8142], [3512, 6509], [6502, 11233], [7708, 10284], [2352, 7079], [1010, 4003], [4406, 10169], [3387, 10944], [3725, 4523], [2746, 9635], [4155, 9769], [3131, 10200], [2823, 5883], [6642, 7456], [6848, 7332], [444, 5662], [10643, 10763], [4275, 5340], [3523, 9677], [8791, 11537], [4113, 6510], [2898, 10379], [7970, 11573], [5420, 6367], [3491, 4477], [693, 6339], [4171, 7619], [3539, 4144], [4098, 5828], [3007, 7289], [8607, 10854], [5338, 10879], [1895, 4867], [2731, 5139], [3192, 10452], [7733, 11229], [5840, 8996], [1256, 10020], [4519, 10180], [4638, 5176], [653, 5785], [7354, 11583], [7875, 10531], [4898, 10176], [11338, 11503], [1254, 3908], [689, 11077], [6011, 6784], [8086, 8499], [1609, 7290], [1177, 1217], [748, 5241], [2115, 9313], [1449, 2844], [4158, 11490], [2224, 9256], [1288, 5370], [2720, 3421], [4554, 9211], [1233, 9046], [7009, 10393], [2718, 3348], [4523, 6865], [6264, 9458], [8657, 9762], [1372, 10329], [4672, 9617], [10088, 11375], [7044, 9798], [284, 2639], [3525, 11146], [5547, 7565], [657, 11515], [8255, 9193], [8812, 10050], [6873, 7472], [4791, 8750], [935, 7295], [5353, 9951], [2581, 6618], [6929, 7781], [1531, 11490], [6378, 10876], [4141, 10331], [495, 10406], [1269, 9800], [1962, 7512], [4978, 7795], [3347, 8780], [2579, 6922], [7517, 7924], [2976, 9776], [261, 6977], [4414, 9150], [1880, 8641], [6427, 9233], [3777, 5331], [1564, 9344], [4241, 10161], [2496, 10078], [8843, 8962], [4801, 8283], [5604, 6163], [3031, 10587], [8284, 9907], [9552, 10590], [11, 7152], [8278, 10092], [286, 2661], [4355, 7415], [6657, 8355], [2333, 8744], [1617, 7076], [3272, 3479], [1739, 8005], [1687, 7815], [1964, 4151], [835, 8538], [3607, 6209], [5966, 7683], [2337, 3201], [1115, 5145], [7056, 9003], [4690, 6358], [1825, 6244], [9328, 11232], [1166, 5110], [4316, 7837], [7802, 10513], [4438, 9520], [5527, 7232], [7994, 10683], [9520, 11402], [148, 8739], [7250, 9219], [5158, 5645], [569, 10489], [1013, 1835], [2943, 7333], [6887, 7854], [1231, 6609], [1415, 8416], [1783, 7122], [8505, 11545], [575, 4992], [779, 8205], [8062, 10975], [598, 9325], [89, 1342], [1439, 10695], [6449, 11011], [5857, 6935], [4014, 10481], [7348, 8599], [497, 2076], [5763, 6519], [4383, 11287], [5159, 11508], [4937, 6211], [393, 972], [1996, 8519], [1024, 1970], [1726, 6214], [3694, 8032], [3510, 5471], [2078, 10049], [2176, 7174], [3102, 3956], [1760, 5044], [1055, 6918], [2070, 9407], [4035, 5292], [1571, 5522], [5712, 6180], [2324, 4039], [4748, 6662], [8036, 8599], [3158, 7648], [942, 8734], [5341, 7176], [2621, 10449], [2068, 9711], [1965, 8832], [2976, 11549], [6173, 7706], [8604, 11500], [2379, 7129], [257, 11260], [467, 5593], [3056, 3557], [2238, 10280], [1956, 4932], [268, 5383], [2924, 4569], [57, 4382], [8862, 11135], [6651, 9559], [4720, 11006], [520, 9741], [2905, 5266], [5527, 5622], [1394, 6333], [2409, 8068], [3502, 4024], [7772, 9411], [4240, 10554], [164, 4629], [4026, 5872], [4062, 5529], [3344, 9450], [2372, 5153], [5288, 5986], [4355, 8033], [905, 5014], [10431, 11527], [1842, 6092], [7654, 7850], [7026, 7527], [7652, 11187], [2614, 8823], [713, 1811], [3204, 9820], [1045, 4270], [10920, 10937], [4263, 5411], [5440, 5976], [1455, 5831], [1360, 8977], [5066, 9707], [24, 7601], [5027, 6746], [1751, 5600], [4963, 9205], [3008, 6094], [1292, 4497], [4554, 8219], [6915, 8985], [2625, 8958], [3528, 10452], [1684, 4728], [285, 5282], [3893, 9641], [1410, 5657], [942, 4091], [2554, 3830], [3555, 6613], [4676, 9498], [2613, 4410], [4201, 6761], [5011, 5812], [2521, 11237], [892, 3223], [3544, 11335], [3260, 11576], [4139, 8512], [1338, 10857], [1584, 7880], [1856, 6124], [2609, 3887], [1009, 7191], [7968, 11527], [769, 7704], [543, 11333], [694, 9250], [2502, 8901], [5060, 5300], [11027, 11133], [7329, 10264], [1777, 9399], [2033, 7110], [4335, 8050], [4796, 6947], [4462, 7825], [6425, 9299], [5014, 8338], [320, 9948], [3587, 6844], [3621, 6428], [2654, 6639], [1495, 6653], [5139, 10669], [3148, 7147], [901, 5914], [583, 909], [4042, 5145], [8641, 10091], [6939, 7426], [2300, 8743], [9860, 10101], [5438, 7703], [307, 9312], [9266, 9362], [5462, 8097], [147, 4893], [7172, 9125], [88, 9948], [9135, 10599], [2973, 4298], [894, 11509], [6090, 8797], [703, 6279], [3528, 8492], [228, 9204], [9660, 9666], [551, 8891], [3290, 9832], [1657, 10744], [3622, 5875], [2429, 6305], [1498, 2763], [4216, 9997], [8419, 10779], [1188, 2537], [477, 6875], [3218, 5233], [1438, 6095], [3215, 10597], [340, 10549], [2611, 9170], [990, 1017], [490, 10493], [2852, 5068], [3258, 3504], [5744, 7005], [3383, 4704], [1917, 4036], [8305, 9337], [2515, 9812], [5455, 10285], [2786, 10083], [415, 11258], [3469, 7861], [17, 4015], [1626, 4237], [2978, 3837], [474, 5422], [131, 8466], [3672, 4433], [8496, 8531], [1249, 1254], [4932, 10860], [5703, 10737], [5235, 8417], [4648, 4685], [3490, 8334], [2827, 6300], [616, 4724], [3766, 7451], [9655, 11119], [1873, 5218], [6307, 8407], [9899, 11479], [1243, 4822], [495, 10032], [1524, 3529], [1887, 8307], [607, 3857], [5069, 6785], [6588, 10497], [2147, 6137], [2388, 9232], [924, 2975], [571, 1167], [1453, 8200], [1018, 2610], [2064, 3658], [8259, 11570], [1719, 6629], [1101, 7748], [2252, 7092], [266, 10330], [4717, 8962], [9189, 9225], [1603, 2482], [406, 9586], [6168, 7817], [3494, 11435], [8695, 11319], [1773, 10248], [7903, 10595], [4983, 10774], [4011, 6477], [220, 10335], [10584, 11531], [2487, 5804], [1828, 6922], [1114, 1163], [4854, 11303], [4438, 5763], [900, 7061], [11287, 11459], [8737, 11171], [1726, 6645], [1274, 2549], [135, 3996], [5532, 7956], [3625, 9043], [3748, 11328], [43, 1374], [6390, 6674], [5516, 5918], [261, 2765], [1006, 3673], [6735, 9338], [2783, 5923], [3562, 5661], [878, 8591], [7448, 9210], [8411, 10755], [1152, 6127], [1766, 1856], [6201, 6371], [5910, 9605], [2553, 9783], [585, 3801], [6741, 9533], [3847, 4517], [990, 11434], [5436, 9722], [1168, 7010], [4349, 9050], [493, 7595], [2286, 10378], [2385, 10357], [3228, 5384], [4439, 11195], [4848, 9902], [15, 7970], [5242, 6823], [3160, 3937], [4751, 9969], [9715, 9940], [7070, 7880], [2376, 9490], [6545, 9190], [540, 7791], [283, 5691], [3366, 7196], [2621, 7042], [6659, 9477], [5019, 7690], [3052, 9480], [727, 6836], [3638, 6571], [926, 9705], [3240, 5744], [2459, 5179], [2386, 9804], [5746, 9897], [5587, 9086], [6877, 11218], [3818, 8609], [6280, 6798], [917, 8838], [6063, 9015], [3914, 8317], [4659, 9225], [5593, 10032], [5190, 8861], [729, 3125], [6520, 10422], [3559, 4184], [694, 10486], [2158, 3911], [2075, 8572], [5745, 7393], [6335, 10642], [4054, 4163], [1170, 3999], [1965, 4270], [4117, 7895], [4893, 8116], [2157, 10856], [4306, 4384], [8079, 10500], [3590, 9132], [359, 1313], [5085, 8286], [1936, 1997], [4021, 5154], [576, 8895], [1474, 3629], [4299, 10760], [2647, 7458], [7170, 7656], [4928, 7521], [4799, 8831], [3801, 10483], [6380, 10011], [432, 8392], [7911, 8822], [1281, 7371], [6970, 10227], [2199, 9173], [1492, 5339], [1418, 2946], [1808, 3101], [588, 5872], [959, 8259], [1614, 9651], [308, 6986], [5217, 7250], [1347, 11000], [6369, 8667], [4459, 10991], [6263, 10900], [1817, 6196], [1869, 6386], [9563, 10188], [1750, 4974], [563, 3721], [6251, 6352], [781, 8495], [3916, 9436], [4548, 9878], [6152, 9756], [8392, 9818], [684, 2146], [5122, 5454], [855, 2967], [1014, 7161], [768, 3722], [301, 11426], [3821, 6516], [4096, 8441], [1412, 7207], [1076, 11422], [7299, 8550], [907, 3507], [7006, 10957], [781, 924], [1154, 9800], [6606, 7051], [219, 8768], [6853, 6928], [3338, 3514], [6223, 10696], [3453, 4026], [6780, 11553], [7320, 9023], [9221, 9619], [4414, 9662], [1797, 7398], [5076, 5809], [57, 7659], [1156, 6813], [5166, 7954], [2265, 5931], [1272, 7927], [7707, 8910], [5155, 7041], [7990, 8444], [2042, 3415], [4251, 8328], [2699, 5634], [2255, 4462], [80, 3297], [2442, 10704], [4966, 8273], [2032, 6110], [605, 11032], [1037, 11443], [2164, 6229], [4622, 6928], [1265, 7106], [2566, 3011], [4522, 9730], [5016, 6855], [3175, 4058], [9415, 9461], [6137, 7488], [982, 4539], [101, 10940], [9225, 9337], [3750, 3966], [9531, 10575], [844, 3851], [2406, 4981], [2585, 6444], [5291, 5747], [6846, 9116], [3981, 9756], [1371, 4499], [7442, 9901], [7225, 11364], [1241, 2174], [864, 2224], [3135, 8015], [3042, 4818], [8176, 9896], [2267, 8205], [4194, 7770], [7955, 8207], [4228, 6600], [8320, 10025], [9877, 10057], [138, 8132], [5617, 7206], [7723, 8988], [3006, 8894], [1504, 8569], [1869, 7004], [379, 8194], [5091, 11297], [8914, 10360], [3714, 7668], [1026, 8944], [23, 3836], [970, 9012], [335, 8272], [331, 11536], [9147, 9780], [6382, 6864], [5601, 7053], [3111, 8314], [3259, 8966], [1948, 5203], [3844, 5455], [989, 6783], [4719, 4901], [3292, 8325], [1444, 7363], [6218, 11344], [3575, 10111], [920, 5111], [1414, 2236], [6579, 6627], [3103, 4639], [3158, 8510], [1917, 6240], [78, 860], [6681, 10287], [3061, 10829], [5274, 6816], [2076, 10434], [5459, 9979], [1436, 9350], [99, 11536], [2807, 10912], [2533, 5425], [2743, 2791], [5383, 10142], [94, 8159], [1343, 3874], [1897, 5214], [2146, 8170], [9389, 11541], [2200, 8406], [1115, 10813], [217, 3247], [5165, 9101], [5657, 8809], [8542, 9575], [5276, 9871], [2671, 4958], [10752, 10926], [8143, 9277], [3965, 9491], [2786, 8099], [3087, 8993], [6320, 7059], [1851, 11231], [5022, 8419], [2752, 6236], [3708, 10774], [7966, 9765], [2429, 9932], [3551, 4374], [5978, 10678], [9832, 11306], [154, 989], [778, 816], [7777, 10243], [344, 4496], [3360, 11195], [9180, 10562], [16, 4438], [5370, 10980], [76, 8653], [1612, 4398], [4406, 11462], [5528, 5904], [2205, 11328], [5407, 7829], [3072, 4497], [2478, 10174], [1568, 7509], [198, 887], [3783, 9204], [5049, 9060], [7444, 10191], [8791, 9447], [2225, 8947], [1033, 7350], [4623, 10349], [5461, 11448], [294, 10394], [2584, 9819], [2143, 10076], [3423, 7356], [1589, 2320], [1031, 3490], [1776, 8562], [680, 2509], [1810, 7392], [6729, 8344], [3910, 10857], [8053, 11588], [6504, 9165], [1614, 6699], [179, 8350], [373, 8593], [6278, 7132], [2607, 8840], [8610, 9412], [8641, 8725], [2354, 4230], [412, 600], [4123, 5838], [2068, 4775], [3434, 8245], [1259, 9332], [786, 6668], [4402, 10134], [5183, 10699], [3584, 8189], [726, 5082], [1716, 9204], [3674, 10334], [9687, 10096], [523, 8136], [218, 7500], [5698, 6799], [653, 1012], [1864, 6823], [1430, 10503], [5036, 6865], [1984, 4646], [1010, 10102], [1015, 10446], [517, 3753], [1408, 7896], [6707, 11321], [6666, 8314], [2968, 8199], [5485, 11013], [727, 4502], [3836, 11392], [1377, 5550], [2867, 4360], [4119, 10926], [3152, 7727], [750, 9589], [2436, 5305], [5457, 5932], [314, 10190], [4209, 6655], [3395, 10114], [1986, 3564], [318, 6145], [2586, 6003], [306, 8794], [2109, 8101], [4535, 5135], [3598, 7440], [2579, 8215], [266, 8614], [8557, 11174], [1174, 4790], [6580, 11522], [1327, 5032], [4689, 5952], [2918, 11064], [8322, 11307], [440, 7454], [4555, 6137], [1444, 9754], [1535, 2702], [2935, 5002], [1128, 10457], [1772, 1891], [1849, 4555], [7638, 11025], [3586, 9658], [6259, 6569], [872, 3297], [3800, 7143], [1116, 10073], [259, 4760], [6974, 8012], [1611, 10052], [434, 3071], [3732, 6450], [1801, 7143], [2639, 4078], [1111, 2532], [5558, 10844], [3784, 5859], [9422, 9908], [6839, 8726], [3102, 9437], [6025, 6523], [5870, 8864], [7614, 9476], [1260, 3005], [6048, 10856], [5, 6721], [5607, 6949], [176, 8266], [624, 2040], [1260, 6388], [1719, 4458], [2001, 7554], [8064, 8931], [6825, 10898], [9161, 11422], [4150, 10881], [224, 2271], [1304, 9319], [7563, 7602], [6477, 7155], [3423, 4136], [4756, 5214], [5817, 8048], [616, 1748], [6197, 7515], [1333, 11188], [891, 3673], [2821, 9171], [3760, 10322], [3232, 4541], [7584, 8829], [7233, 7848], [7296, 11580], [6233, 6421], [3223, 10090], [2447, 3453], [2168, 4038], [4493, 10065], [995, 10038], [7352, 9610], [4146, 9203], [2713, 4511], [2680, 8535], [5132, 6790], [3306, 5779], [1965, 4059], [31, 7487], [1609, 1980], [487, 1876], [870, 11440], [276, 6537], [30, 8016], [3977, 11087], [2697, 3227], [1339, 3782], [1774, 10126], [269, 7251], [1817, 5285], [7895, 9606], [3378, 6190], [2903, 3453], [3560, 5672], [10691, 11054], [5610, 9774], [5543, 7798], [8698, 10869], [8631, 9647], [3803, 8813], [8042, 9252], [928, 1595], [7233, 7393], [3417, 8777], [8685, 9883], [7045, 7342], [8783, 10418], [8, 1595], [7628, 7922], [1895, 4013], [9083, 9929], [3450, 3972], [1091, 6662], [906, 6128], [1921, 8617], [868, 3392], [6654, 10345], [3667, 5138], [1991, 7858], [3659, 8660], [6747, 10509], [2351, 11584], [2201, 7853], [758, 2473], [2499, 5066], [8820, 11397], [8567, 10951], [707, 9301], [3004, 9897], [5332, 5642], [4607, 6140], [3274, 10697], [8384, 8965], [2990, 4522], [8201, 9258], [1061, 2632], [1059, 5969], [6224, 10360], [5417, 8574], [250, 4110], [726, 9701], [6569, 6608], [8250, 9150], [1842, 6580], [214, 11246], [1422, 6960], [498, 4589], [3798, 3877], [5356, 7517], [5739, 6531], [110, 7109], [7737, 10443], [8320, 10269], [4431, 6422], [2495, 6771], [8945, 9540], [2066, 10795], [2978, 3707], [9655, 10639], [8631, 11070], [8908, 9658], [2435, 5939], [3902, 7209], [657, 7628], [3181, 7449], [1927, 4974], [3960, 11351], [3893, 10129], [2988, 7808], [8373, 9499], [966, 2721], [3455, 9903], [370, 1155], [3329, 10730], [130, 8084], [10238, 10815], [3137, 7527], [3254, 8866], [3794, 6336], [2854, 4960], [3788, 8019], [291, 5184], [2099, 8999], [604, 3429], [3126, 6587], [3279, 6829], [5751, 6460], [4562, 8544], [823, 7674], [5059, 9350], [234, 1617], [6209, 10721], [46, 1566], [1912, 9523], [4030, 7902], [5145, 7589], [1754, 2521], [6475, 9150], [1222, 9076], [5525, 7810], [63, 9090], [619, 4087], [8781, 10209], [3640, 4714], [2831, 8517], [1809, 3359], [54, 1807], [1451, 4590], [1553, 8250], [2857, 3672], [426, 632], [2421, 10689], [6989, 10660], [8758, 8885], [736, 9159], [5371, 6188], [677, 7798], [2322, 3513], [4870, 5640], [3774, 6003], [4591, 6225], [3679, 9149], [761, 3739], [2383, 11336], [3536, 7343], [4797, 6101], [1008, 10786], [1122, 1274], [6827, 8797], [1498, 3251], [5331, 10172], [3583, 6408], [451, 8394], [744, 5263], [6972, 9151], [152, 1187], [2992, 9350], [6192, 11440], [343, 10554], [8275, 11518], [147, 4226], [5573, 6672], [6027, 10814], [5450, 7770], [245, 10396], [3781, 6019], [2170, 9134], [7555, 11579], [9761, 9805], [3412, 10848], [5788, 7765], [4028, 6650], [1571, 8051], [1820, 4591], [868, 6588], [9101, 10698], [290, 6382], [2719, 2933], [6457, 9994], [827, 9970], [1008, 6598], [5435, 7088], [5928, 10404], [7043, 10091], [1840, 9380], [1439, 2620], [6829, 8819], [5394, 9716], [9198, 10981], [312, 1418], [509, 8348], [352, 8364], [252, 10412], [7101, 10446], [7130, 8932], [7682, 9445], [5600, 6559], [5199, 6215], [32, 5161], [8244, 11400], [1176, 9750], [5066, 6625], [6473, 10096], [8400, 8907], [212, 3816], [3081, 4803], [3451, 3582], [2823, 6265], [2769, 9412], [7117, 11329], [1174, 6644], [8701, 9774], [481, 9309], [2101, 9663], [8634, 11181], [2660, 11347], [3648, 9007], [8009, 11129], [1202, 8288], [3083, 7508], [3050, 5116], [5052, 5764], [9152, 9831], [5115, 10250], [2372, 11065], [3619, 4455], [6912, 8988], [3385, 4059], [250, 3118], [10575, 10802], [370, 7384], [7277, 10806], [90, 8498], [5601, 7110], [871, 9063], [5835, 9034], [10881, 11259], [743, 9817], [3472, 3654], [1359, 5619], [8363, 8974], [2735, 3361], [1417, 9007], [1045, 7149], [4472, 8464], [6024, 8152], [5435, 8511], [2505, 3838], [4256, 7119], [1290, 6953], [204, 5752], [3072, 9547], [2375, 7929], [1592, 10701], [6105, 6801], [8562, 8810], [2223, 8289], [6982, 7074], [46, 7795], [2907, 4003], [3277, 3536], [355, 9304], [5665, 9912], [6816, 9256], [7287, 11093], [5912, 9789], [2493, 9089], [306, 5655], [3549, 4409], [5815, 9856], [5641, 8737], [2685, 9259], [5909, 9491], [442, 8899], [898, 8950], [10493, 11096], [1272, 8602], [830, 1087], [6153, 6818], [179, 6984], [637, 1446], [5179, 6612], [3604, 5220], [3542, 7752], [6465, 7844], [2938, 8577], [1293, 6446], [3877, 10482], [797, 8494], [319, 6240], [6151, 9374], [117, 2319], [5189, 10683], [6082, 11489], [9356, 9556], [1063, 6923], [2749, 3393], [825, 7509], [9634, 10998], [830, 7853], [7015, 8661], [3837, 10302], [843, 8088], [4712, 7496], [1966, 5384], [6630, 11479], [3268, 11313], [1036, 11112], [3832, 6925], [341, 3905], [4208, 9656], [2825, 4327], [2458, 9229], [1993, 10590], [3351, 3619], [3918, 9328], [3661, 7982], [2391, 4220], [708, 5769], [2160, 8259], [1487, 5507], [7987, 11049], [738, 7863], [7675, 9242], [5146, 9831], [1448, 2546], [6960, 10428], [334, 6467], [594, 944], [4530, 4580], [2976, 7475], [3747, 7352], [2842, 5031], [2348, 7906], [6480, 10730], [3555, 4149], [2966, 10170], [561, 1935], [6254, 7943], [4516, 9785], [5584, 9626], [223, 5323], [4861, 6033], [10859, 11179], [1375, 7521], [3079, 4570], [7184, 8981], [3476, 8178], [2954, 9005], [2305, 10811], [306, 7428], [1140, 6873], [6737, 10921], [2661, 11412], [4104, 4714], [148, 9471], [334, 2279], [5179, 11418], [6519, 8749], [605, 6714], [1890, 9256], [4304, 10437], [3127, 3456], [6239, 9863], [4116, 4724], [2008, 7033], [3209, 5740], [3525, 9918], [9540, 10507], [2534, 6325], [9939, 10024], [4404, 4602], [5459, 10654], [3399, 5083], [7819, 8566], [1747, 5945], [7419, 11076], [2022, 7870], [1686, 7921], [58, 2007], [6101, 10279], [655, 9810], [1178, 5421], [2267, 10303], [6439, 10274], [2136, 5124], [2006, 9215], [9521, 11554], [393, 11503], [2943, 10293], [4252, 10223], [4004, 5957], [3161, 5268], [1669, 9795], [3319, 5854], [5142, 10731], [1343, 3394], [1447, 7881], [819, 4148], [6600, 10757], [1097, 9754], [3277, 9765], [2809, 7445], [6513, 11512], [2905, 7153], [1683, 9851], [4243, 8575], [7311, 9048], [5351, 11255], [2677, 10709], [4607, 7539], [257, 8959], [713, 9764], [1838, 10139], [8558, 11483], [5853, 9372], [3797, 5455], [4108, 9289], [3206, 11403], [923, 4097], [6370, 10830], [840, 2342], [5597, 8628], [3317, 11419], [10, 4544], [3466, 4345], [3744, 10705], [1416, 4380], [4492, 8124], [9001, 10898], [9725, 10929], [3459, 4305], [1963, 7932], [967, 3241], [5302, 10558], [2799, 5952], [969, 9703], [5914, 9624], [7909, 9101], [4048, 5050], [997, 2302], [2959, 9967], [2049, 7302], [8148, 8336], [2040, 3052], [6372, 6688], [8235, 10964], [5054, 6672], [1785, 2533], [107, 3672], [1659, 3360], [8706, 10549], [4246, 7667], [2169, 2873], [8770, 11473], [7364, 8604], [2572, 9679], [3369, 3607], [5024, 7180], [10163, 10350], [6364, 9429], [4464, 6025], [1227, 10469], [4116, 8725], [5167, 10117], [2493, 10325], [2216, 5321], [4924, 6949], [9784, 10704], [3862, 4644], [10427, 10581], [7373, 8316], [5733, 5775], [532, 6645], [3584, 5831], [206, 6660], [6384, 10431], [7991, 10580], [3380, 7529], [6284, 6817], [3949, 9901], [1571, 9905], [4387, 7094], [3532, 4136], [5495, 5610], [4598, 7314], [3574, 7745], [8054, 11279], [2667, 8761], [354, 2744], [1880, 8381], [1575, 3581], [1503, 2015], [687, 2395], [542, 6178], [6209, 10965], [2813, 5553], [4953, 7663], [1541, 1718], [2214, 4470], [2631, 9454], [1091, 4141], [2933, 6786], [8833, 10643], [6760, 8974], [622, 7985], [7833, 8435], [4170, 5123], [5185, 6858], [150, 8175], [705, 6707], [2518, 10866], [3093, 6667], [2227, 7684], [2504, 6272], [1609, 8803], [3290, 7181], [4372, 10892], [825, 1524], [1907, 5235], [2712, 3942], [1407, 10547], [1212, 7827], [3059, 10816], [5115, 9071], [2497, 8834], [7401, 8754], [2702, 5856], [3581, 6956], [2852, 5800], [2766, 4528], [4466, 7120], [4529, 10852], [4410, 9440], [356, 11410], [5089, 9728], [6646, 9760], [9879, 11209], [7767, 9612], [3587, 8999], [1135, 11498], [2723, 7433], [5235, 9149], [3672, 8548], [6440, 10981], [4451, 8286], [7474, 9740], [2302, 8342], [8, 7263], [1333, 8480], [2585, 3712], [437, 6622], [8682, 8837], [4976, 8107], [714, 5210], [1920, 11431], [2926, 7388], [4937, 11562], [918, 2761], [4756, 9272], [295, 3536], [7464, 8648], [1141, 8660], [5999, 11588], [4184, 5848], [1357, 9224], [9328, 9362], [6484, 10879], [5061, 6875], [8258, 9448], [1540, 11560], [4965, 9796], [6582, 10633], [228, 8326], [3673, 4585], [572, 1720], [4892, 8005], [902, 7489], [6318, 8493], [4301, 10920], [3924, 8718], [4385, 9113], [1245, 1412], [1396, 11407], [7025, 7796], [9079, 10886], [6310, 11234], [1203, 10985], [2268, 4893], [6203, 10613], [2844, 3548], [6892, 11589], [2346, 8933], [2442, 9395], [2967, 5833], [7328, 7955], [3066, 9222], [2241, 8358], [186, 7295], [2314, 7116], [278, 10267], [2609, 3277], [2741, 9812], [10053, 11068], [2975, 5320], [1051, 10190], [3014, 4494], [7686, 8952], [1048, 9138], [5227, 10280], [2759, 7358], [4089, 8165], [7079, 9479], [329, 756], [4146, 7918], [792, 5361], [7005, 7463], [5482, 6261], [1318, 4653], [3204, 4217], [5951, 11435], [7561, 8849], [9868, 10133], [4773, 11399], [118, 2414], [1468, 5351], [7622, 10256], [4667, 7216], [3679, 9556], [3079, 5619], [4226, 9725], [4386, 5476], [4688, 5060], [7396, 7442], [9199, 10913], [6439, 9095], [3600, 10202], [4323, 4373], [5477, 9650], [6256, 9388], [1015, 5941], [10070, 11371], [9515, 9806], [6862, 7885], [8135, 11164], [2595, 5398], [790, 4510], [5022, 10948], [2804, 8955], [6890, 9152], [7540, 10200], [4028, 7057], [1158, 6599], [3747, 10979], [2185, 3433], [9490, 10688], [2026, 4874], [1647, 6009], [7034, 9281], [6562, 9471], [6441, 11396], [2864, 2940], [2673, 6378], [6162, 6319], [1948, 6122], [740, 3992], [4480, 9968], [5631, 9312], [4750, 11549], [3167, 10296], [930, 10505], [240, 9304], [6781, 11437], [3099, 11101], [11, 3590], [2414, 10998], [1696, 8503], [1474, 3206], [1818, 7934], [3156, 8602], [1069, 5372], [4775, 10266], [6857, 8988], [4959, 6411], [4907, 6221], [1949, 10080], [813, 4628], [2155, 3540], [2466, 11538], [1530, 7652], [9310, 11228], [2058, 3607], [2617, 5291], [906, 10454], [968, 5670], [3270, 6610], [2544, 9916], [8156, 10832], [273, 4125], [3768, 8018], [1428, 6594], [4798, 11539], [1209, 11394], [4824, 10508], [1020, 2827], [1606, 8586], [2662, 4660], [327, 7744], [5898, 6407], [144, 2375], [5837, 8383], [1411, 5085], [3441, 7781], [2909, 7920], [1541, 4377], [385, 2437], [4844, 7346], [4612, 7777], [1480, 10517], [2502, 2843], [3527, 10184], [4301, 9578], [7516, 10448], [3686, 7962], [2987, 3265], [4356, 6252], [8158, 10854], [935, 8889], [742, 8494], [2263, 2453], [2395, 8988], [284, 1200], [4134, 4338], [6348, 9595], [7905, 9627], [2673, 4768], [2953, 7037], [3385, 6694], [2638, 5713], [484, 507], [9709, 10290], [8248, 9966], [3004, 7002], [4867, 11278], [447, 1379], [2874, 11093], [5152, 7475], [5026, 9056], [2725, 10970], [6734, 9257], [764, 10296], [4269, 10016], [563, 5876], [3799, 7623], [6137, 8220], [7699, 9350], [2497, 11493], [5102, 9990], [6315, 10212], [9224, 9844], [346, 10722], [5604, 11140], [2314, 6124], [3577, 5709], [2983, 4970], [2053, 5036], [5382, 9226], [5946, 11254], [5375, 8055], [4002, 8332], [454, 11194], [3129, 8178], [3409, 10447], [5367, 11577], [401, 10779], [4914, 11043], [1765, 4754], [139, 6837], [691, 934], [3063, 6777], [1504, 5918], [5246, 10469], [7768, 9463], [2902, 11555], [918, 9958], [2819, 3384], [8417, 11040], [4857, 5971], [2095, 6736], [1554, 5631], [582, 6252], [6717, 6943], [1765, 3599], [4641, 11419], [4013, 7686], [2985, 10627], [1230, 9856], [645, 6951], [6801, 8519], [2974, 10468], [4661, 5628], [1982, 8902], [2653, 4411], [4994, 10941], [4717, 5937], [8643, 8885], [209, 355], [6525, 10506], [4992, 8616], [2168, 10755], [6394, 7579], [35, 11344], [9470, 11323], [509, 10446], [6703, 8334], [2436, 2841], [162, 9584], [8534, 10820], [228, 11335], [6596, 11096], [2654, 7615], [1310, 8630], [6444, 10675], [7397, 9280], [7278, 7868], [4439, 8975], [2072, 11023], [16, 2942], [642, 5848], [4224, 8232], [9224, 10112], [10010, 11021], [3216, 5032], [4907, 8262], [2158, 9262], [441, 4811], [6736, 9921], [5580, 7981], [2037, 11187], [1003, 10176], [9165, 9882], [2808, 4648], [476, 7249], [9808, 10513], [4615, 10490], [8662, 9261], [5083, 10558], [7437, 7524], [7906, 10446], [1521, 8826], [835, 4334], [8897, 11006], [2431, 4294], [7426, 9994], [1553, 4550], [1336, 6013], [8681, 9661], [2322, 2846], [5040, 10080], [176, 8835], [1575, 8281], [1446, 3175], [3065, 10474], [3528, 5280], [2917, 8324], [7796, 11375], [4742, 9110], [5769, 6698], [732, 11352], [161, 8153], [725, 10181], [5823, 6180], [2753, 9798], [3095, 9535], [9404, 11345], [2892, 8452], [593, 7029], [3329, 8453], [3435, 9603], [7105, 8424], [6847, 9886], [3865, 9187], [164, 8801], [6501, 9249], [1308, 6974], [2636, 7708], [11101, 11387], [3267, 4542], [7970, 10565], [6867, 7505], [10454, 10987], [1452, 2939], [5722, 9861], [2446, 10967], [5314, 8346], [2451, 4895], [4281, 6025], [960, 5860], [325, 11536], [4277, 7037], [1166, 3484], [2351, 4664], [1095, 4772], [167, 7163], [2500, 7416], [3649, 6687], [6264, 9255], [5292, 9122], [3466, 3947], [2151, 9864], [5998, 7069], [523, 8868], [488, 5649], [866, 9207], [2263, 7072], [10972, 11111], [1085, 7036], [6054, 7351], [1264, 2837], [5281, 11565], [758, 4197], [47, 2873], [766, 1806], [3309, 5841], [661, 4264], [3372, 10327], [1130, 9438], [1704, 5738], [6607, 7685], [2321, 5148], [2120, 7144], [7474, 8024], [2123, 4409], [1467, 2792], [2313, 10922], [61, 2929], [7980, 9293], [5172, 10467], [1738, 7981], [465, 538], [5196, 8609], [1190, 9839], [2026, 10111], [7129, 7208], [1559, 9147], [1855, 5533], [3238, 4446], [6467, 11438], [7336, 7686], [9514, 11034], [4507, 7983], [6587, 10042], [1702, 2258], [671, 7180], [1416, 1672], [6641, 10278], [679, 5543], [6527, 9210], [2749, 6914], [1317, 5076], [1906, 2438], [238, 4265], [389, 10850], [4706, 7038], [3126, 9466], [3016, 4410], [9717, 10962], [4892, 6639], [65, 8659], [6290, 6614], [4855, 7511], [128, 6729], [3077, 5036], [2669, 9937], [3442, 3471], [5255, 8384], [1889, 9974], [4537, 5135], [996, 2752], [1793, 3850], [1452, 3557], [4939, 9087], [832, 1597], [2070, 5821], [1509, 7474], [7919, 10090], [2409, 8670], [6979, 9468], [7861, 10085], [4241, 11381], [5552, 7974], [7854, 8914], [8470, 11132], [1820, 1859], [2369, 2855], [8072, 10305], [3184, 8666], [176, 8998], [3519, 11396], [1566, 4194], [4828, 7162], [7166, 7759], [2022, 2747], [2842, 8902], [5261, 10427], [442, 1011], [2114, 4965], [1348, 6186], [7781, 10506], [2805, 9020], [8180, 10777], [1440, 9158], [5480, 6758], [2610, 8552], [2452, 4960], [10309, 10446], [5385, 9904], [3509, 10304], [4331, 7460], [3818, 5397], [1514, 3630], [707, 1844], [4410, 8692], [850, 7787], [9628, 9711], [4251, 7881], [4373, 6558], [10221, 10225], [6274, 7154], [390, 3830], [3311, 6505], [1473, 10395], [3782, 6090], [5642, 5931], [5373, 11368], [1913, 4251], [786, 7213], [2587, 9857], [6728, 10515], [816, 8553], [2924, 6244], [5415, 10089], [2994, 7737], [3677, 11177], [10618, 10800], [2689, 7101], [5380, 11034], [5424, 11306], [7507, 10630], [6975, 11523], [839, 6443], [5666, 7806], [7686, 9814], [804, 972], [4821, 9700], [3534, 11249], [6834, 10537], [1920, 10683], [1245, 11268], [1109, 11407], [2470, 8117], [3187, 4725], [5025, 10634], [1601, 8836], [1539, 7958], [4366, 4582], [5897, 6399], [5952, 10270], [351, 8732], [2877, 2964], [6147, 9957], [512, 7337], [249, 8455], [1940, 5269], [2119, 7486], [2526, 4612], [3651, 9151], [650, 5766], [10388, 10472], [405, 5935], [403, 2856], [6323, 8843], [5160, 5732], [8712, 9405], [616, 7286], [5251, 8479], [6710, 7976], [7264, 9316], [3504, 7569], [2102, 2190], [7492, 11395], [646, 2964], [4811, 7426], [4780, 5861], [2745, 2821], [883, 8569], [8200, 10169], [2159, 8359], [9263, 9666], [3124, 5069], [2840, 5310], [1067, 7343], [855, 9904], [4169, 6646], [8258, 11278], [9321, 10021], [3246, 7129], [4605, 9428], [2427, 4582], [4166, 6348], [1846, 10464], [2304, 5680], [6342, 8869], [4014, 6708], [3580, 9634], [2860, 6312], [9580, 10662], [3790, 10383], [2730, 11157], [7905, 9066], [1355, 9853], [4164, 5871], [8854, 10935], [1693, 9848], [941, 1353], [164, 8077], [1313, 6594], [9352, 11562], [7855, 11581], [1217, 10269], [7139, 9913], [7507, 7865], [6328, 11391], [6919, 11078], [4985, 8844], [2741, 11292], [3386, 8586], [2090, 10019], [7343, 10093], [7615, 8337], [6448, 8460], [3513, 7607], [6632, 11021], [1703, 2965], [2055, 7554], [3884, 5830], [2141, 6574], [1774, 5060], [4594, 7683], [4432, 6601], [6739, 7885], [6897, 9225], [483, 2703], [3411, 6549], [3593, 6031], [4935, 4943], [1478, 7169], [3586, 8243], [348, 3417], [7269, 11433], [1228, 9623], [478, 9125], [6045, 10298], [9071, 11269], [537, 9705], [9943, 11198], [8720, 10288], [9305, 10941], [6693, 11273], [2128, 8567], [3076, 9834], [2241, 6000], [1401, 8238], [2526, 8613], [3046, 4707], [5294, 8794], [3484, 8316], [1237, 7083], [9702, 10762], [2200, 9382], [1362, 1867], [1582, 4085], [10329, 10860], [3066, 8742], [547, 5855], [2073, 10738], [141, 4413], [4447, 6828], [4010, 10991], [1240, 3567], [3980, 8116], [5434, 11433], [3782, 8131], [4064, 11227], [5580, 11258], [1755, 9116], [4072, 11088], [3536, 4692], [8268, 9201], [4829, 6371], [6458, 8723], [6197, 9133], [6945, 7306], [1902, 8762], [2373, 8347], [5886, 8682], [7386, 8180], [4943, 10041], [5134, 7357], [311, 6113], [4361, 10817], [4726, 5088], [5512, 5997], [4137, 5447], [5159, 8353], [7908, 10736], [3205, 8096], [488, 10886], [3413, 8799], [4070, 6854], [5224, 6469], [1516, 4912], [3202, 7798], [10297, 10517], [1851, 11052], [5187, 6587], [8177, 11311], [2764, 7572], [4968, 4971], [200, 4188], [1232, 2120], [3625, 8840], [666, 3429], [3960, 9318], [10353, 10799], [1250, 6863], [699, 9204], [3407, 4416], [2280, 10384], [4924, 8055], [6264, 10304], [8308, 10454], [2771, 10621], [3490, 9554], [7683, 10402], [6485, 8960], [2420, 3224], [9675, 10362], [1469, 1659], [814, 10066], [591, 10960], [2133, 6550], [10696, 10764], [4008, 5171], [670, 3147], [1363, 7275], [3255, 10037], [8268, 10624], [7050, 7052], [9505, 11240], [2569, 10463], [4983, 5228], [5963, 9386], [6173, 10162], [1507, 3240], [385, 7300], [1593, 9430], [2403, 8481], [8230, 11271], [2311, 8892], [1122, 6812], [2930, 10627], [8790, 9393], [1529, 11108], [810, 5005], [5108, 7559], [2869, 6187], [4077, 6065], [3825, 11479], [6404, 8755], [4795, 5527], [6916, 10593], [1744, 2779], [5464, 7379], [2332, 3703], [11113, 11560], [1416, 2721], [2285, 3133], [237, 5493], [330, 1520], [8485, 10635], [6049, 7251], [553, 7419], [5754, 7303], [2659, 5037], [4056, 7066], [7891, 10650], [19, 1069], [3682, 5135], [2190, 9662], [6431, 6764], [6863, 7175], [4185, 9139], [606, 10436], [3433, 7060], [749, 3574], [6411, 8771], [7911, 8269], [3026, 6901], [3581, 4679], [8183, 9896], [2995, 7965], [4612, 8802], [6410, 7765], [3863, 6994], [2464, 7548], [5126, 6579], [7094, 8397], [376, 11263], [2618, 4982], [1871, 10417], [2084, 11464], [1425, 10330], [1475, 3277], [3594, 10926], [6035, 8992], [1163, 1470], [2446, 9601], [2234, 11408], [4658, 5363], [7082, 7232], [2794, 10284], [8067, 11010], [482, 11285], [5052, 7919], [4733, 9105], [3112, 11532], [1, 7979], [6537, 9768], [3607, 5095], [2244, 5306], [1903, 11429], [7073, 9748], [4138, 4731], [9086, 10585], [4146, 8756], [9151, 9482], [7056, 11272], [1493, 10218], [7341, 7469], [4277, 4516], [1051, 6840], [7260, 11452], [2690, 4992], [608, 6270], [978, 5049], [8018, 10313], [195, 3657], [7734, 10554], [2029, 3031], [547, 1830], [3709, 5348], [3586, 6446], [848, 8359], [1126, 1133], [1222, 8011], [6253, 9204], [2896, 9382], [2169, 2637], [4763, 7361], [8739, 9672], [1115, 6609], [7658, 8815], [10798, 10854], [462, 2257], [7800, 11150], [3566, 4639], [9670, 10181], [3002, 5240], [1952, 10866], [3934, 5974], [5124, 10908], [2933, 10738], [8418, 10381], [6448, 7736], [3745, 6452], [1071, 10070], [787, 3895], [4460, 8649], [6135, 6458], [3417, 4142], [524, 1980], [183, 1687], [2151, 3505], [2077, 5276], [1431, 10763], [4762, 9364], [3048, 5184], [863, 4829], [6310, 8152], [775, 2730], [7492, 9061], [3822, 8742], [8298, 10622], [1698, 5630], [5273, 6843], [419, 4788], [3820, 11298], [2409, 3921], [5220, 7182], [3069, 6411], [4063, 7269], [3067, 3332], [37, 1461], [1064, 4711], [2034, 8181], [5153, 9343], [1445, 7786], [8040, 10182], [411, 6775], [221, 235], [1662, 9706], [2735, 9167], [4349, 9733], [3770, 10780], [18, 3289], [300, 2221], [4320, 8214], [428, 11266], [11035, 11466], [3485, 4380], [3781, 7182], [1399, 11174], [9040, 11208], [4907, 11165], [5406, 5628], [5333, 6843], [4211, 10149], [510, 5599], [2103, 6042], [1005, 3326], [6801, 10967], [9072, 10342], [3437, 3558], [11176, 11297], [2595, 9887], [8374, 8499], [6600, 10684], [3122, 5617], [2955, 7197], [1583, 5410], [3988, 7983], [5786, 11110], [3458, 4785], [4239, 5350], [8005, 10295], [273, 3003], [501, 11498], [8249, 10655], [3603, 10801], [7658, 9433], [5036, 9077], [6801, 9812], [188, 10220], [1104, 6314], [574, 3116], [5805, 11510], [521, 3455], [7045, 9391], [1195, 9061], [2124, 6114], [4429, 10735], [322, 5497], [5642, 6793], [3842, 7003], [379, 6031], [4991, 5520], [4277, 4679], [1448, 6474], [4034, 7173], [3748, 10751], [7693, 11497], [5487, 6855], [3675, 5550], [2491, 7978], [210, 1499], [6813, 10172], [2515, 6120], [8194, 8258], [2583, 10950], [3302, 9883], [147, 396], [3261, 3466], [4291, 11151], [7620, 8925], [6408, 9305], [8024, 10671], [3103, 8892], [5214, 10264], [5993, 10002], [5807, 11532], [912, 8722], [4403, 5326], [757, 5401], [8286, 10856], [10622, 11380], [164, 7516], [2282, 5895], [8448, 8905], [3338, 8385], [661, 1906], [1226, 7542], [7139, 9352], [66, 3948], [9305, 11185], [3856, 7035], [4800, 9284], [9703, 11231], [620, 2255], [1585, 4627], [2022, 5382], [5628, 8160], [6849, 8997], [7178, 7775], [4660, 11152], [740, 9904], [11016, 11253], [5741, 8976], [2456, 10720], [3031, 6521], [2870, 9047], [4181, 5640], [6667, 9141], [550, 6747], [6171, 11189], [6078, 8746], [4457, 4757], [721, 7568], [9012, 10128], [2071, 10505], [1058, 11125], [4172, 7025], [5395, 8689], [192, 7978], [3050, 4669], [4426, 8827], [3362, 4941], [3026, 9910], [2365, 7195], [2112, 9755], [713, 10309], [6434, 8916], [5431, 10224], [3256, 4895], [3295, 10485], [6003, 9861], [1073, 4586], [4682, 9547], [7, 11207], [2505, 3391], [2775, 11388], [874, 4376], [6484, 9383], [2590, 8602], [319, 3565], [3253, 10609], [2780, 8699], [244, 947], [1212, 7754], [4233, 7627], [1864, 5465], [2646, 8884], [6562, 10390], [1359, 10433], [8996, 11449], [5905, 11554], [2075, 2652], [681, 3550], [4320, 7222], [3855, 11589], [2754, 9356], [2105, 11162], [5880, 7525], [3230, 9285], [1205, 6933], [2321, 3058], [198, 4335], [5301, 7094], [1892, 7082], [1138, 8340], [5157, 7315], [10559, 10895], [4559, 9840], [9031, 9349], [1034, 1574], [4115, 5662], [4863, 10251], [8223, 10344], [3249, 3269], [1864, 7693], [5795, 10985], [8196, 8898], [2487, 10301], [7122, 11494], [8829, 8841], [7029, 9051], [5129, 11309], [5476, 9138], [5748, 7382], [82, 5449], [1276, 1457], [714, 11553], [7710, 8631], [6366, 9646], [4219, 8994], [3555, 9768], [4305, 11020], [1786, 5127], [2373, 2443], [8699, 9118], [4241, 7063], [10728, 11589], [5773, 8728], [1346, 8238], [6046, 10580], [5731, 9256], [2460, 4290], [1990, 5307], [3891, 5903], [1192, 11154], [1536, 10964], [4397, 7172], [1749, 5595], [2838, 4061], [7214, 7245], [7052, 8415], [7716, 8395], [2330, 8731], [3942, 8470], [9821, 11450], [9480, 11157], [10229, 10686], [2221, 10666], [9903, 10701], [5956, 7630], [8762, 9793], [3179, 3199], [2277, 10975], [1666, 2685], [8510, 8791], [313, 5866], [1242, 6329], [6417, 11408], [1374, 8700], [1899, 5138], [1532, 10040], [6456, 11336], [9061, 9833], [3457, 8778], [1373, 9229], [3572, 6284], [96, 4296], [5541, 10956], [211, 8972], [6258, 7564], [1614, 2121], [3536, 6977], [1789, 10231], [87, 7566], [5679, 7106], [2910, 7454], [8851, 11312], [2481, 4308], [1600, 6545], [3928, 6454], [5619, 9684], [6950, 7683], [4178, 10766], [4209, 5915], [811, 3086], [5289, 6547], [3678, 9662], [3826, 9560], [2336, 4334], [2675, 3800], [3055, 4021], [71, 8911], [1866, 1941], [5606, 5665], [2796, 5258], [2587, 11500], [8156, 9336], [5470, 11439], [3851, 8277], [678, 3846], [1706, 10704], [6580, 7749], [7700, 7780], [3254, 7240], [3627, 5536], [2479, 10627], [2854, 9750], [4212, 5408], [1409, 6926], [248, 478], [4112, 8210], [3721, 8554], [70, 8285], [6859, 7514], [1064, 9143], [2426, 8707], [1753, 3703], [2589, 3975], [3826, 8755], [2742, 4971], [3027, 7584], [2955, 6018], [6263, 9331], [1115, 9081], [2651, 8236], [492, 3440], [1643, 2784], [6961, 9669], [3767, 10777], [6529, 7760], [679, 3266], [9015, 10507], [28, 8409], [2447, 9934], [4412, 5819], [186, 8995], [805, 5068], [6467, 9511], [3714, 10392], [3667, 10546], [3440, 11321], [5499, 6841], [4595, 11538], [101, 9826], [937, 10098], [2067, 10817], [1969, 7276], [1372, 2856], [1654, 1788], [286, 8825], [2590, 3422], [72, 7553], [5450, 8827], [1649, 11243], [5978, 8946], [1396, 4381], [6598, 7873], [1737, 3893], [7276, 7936], [1837, 5228], [899, 11095], [1546, 8462], [5336, 7385], [1824, 3488], [7949, 9907], [8988, 9010], [12, 2183], [2226, 7440], [1949, 2436], [453, 9473], [3128, 9463], [1481, 9915], [5392, 11077], [2811, 7312], [1901, 8811], [2651, 2893], [6083, 8716], [816, 10464], [3711, 6256], [8819, 9359], [2235, 4900], [2526, 10711], [991, 5742], [440, 8837], [7346, 10903], [3177, 8951], [2893, 9192], [2361, 10085], [7435, 7942], [3066, 10840], [143, 922], [4074, 4214], [522, 9586], [5489, 6822], [7761, 9805], [1943, 7478], [195, 3714], [1695, 3966], [7646, 8512], [8945, 10760], [3649, 7606], [8108, 10263], [5959, 6155], [3213, 7453], [4522, 10389], [3715, 8603], [1782, 9223], [7410, 8420], [7162, 11324], [3081, 11471], [469, 3135], [6157, 8799], [529, 3186], [5978, 7336], [7440, 10514], [1461, 10336], [3546, 6323], [86, 2616], [1209, 6328], [2301, 10727], [1393, 2473], [434, 9715], [1735, 5620], [9866, 10177], [10666, 10792], [5969, 6469], [1459, 4224], [4598, 8290], [7836, 10864], [4058, 4404], [1047, 5219], [2789, 4250], [506, 8278], [2539, 4075], [2157, 7945], [2162, 8289], [5209, 7131], [1718, 4111], [1869, 4280], [1129, 4470], [9783, 10300], [3470, 4584], [1472, 4055], [6079, 10370], [1808, 9639], [10423, 10633], [2584, 9860], [87, 2036], [6043, 6926], [1841, 8998], [4136, 6515], [925, 5764], [5001, 5273], [416, 1164], [914, 11240], [3942, 5868], [3319, 6643], [3191, 7397], [1327, 10066], [9257, 10203], [422, 1329], [128, 882], [7008, 8897], [819, 4937], [595, 9393], [4738, 10124], [127, 7827], [6013, 7814], [3706, 6530], [8468, 8996], [1775, 3059], [7855, 10459], [6821, 10202], [5042, 11289], [2559, 7305], [5164, 5802], [3584, 8230], [3799, 5940], [86, 4039], [3896, 9256], [2396, 3342], [5999, 6603], [1771, 3290], [1869, 3825], [4966, 9200], [5902, 6670], [554, 9742], [9047, 9053], [6531, 9093], [2897, 10683], [7931, 9141], [273, 832], [553, 9517], [1396, 10960], [217, 10322], [3725, 3897], [2410, 2644], [3913, 6577], [8846, 11399], [6977, 9560], [385, 2177], [7260, 9094], [1527, 5939], [4281, 7912], [2658, 7260], [347, 10738], [3836, 11433], [2368, 9938], [6074, 7662], [8159, 10819], [2894, 9230], [4630, 11479], [2825, 11345], [435, 8306], [831, 7525], [2825, 8312], [1359, 7644], [2068, 5889], [7298, 10675], [4094, 11095], [1614, 11546], [1193, 5662], [733, 7367], [7821, 9669], [971, 3748], [1041, 8651], [666, 3112], [2875, 8025], [6611, 10095], [8696, 10246], [6036, 7154], [291, 956], [2159, 4822], [3248, 9704], [9344, 11221], [844, 4323], [1370, 3615], [9742, 11267], [4924, 11121], [3018, 3765], [2862, 6635], [4570, 6836], [7066, 11025], [2379, 8918], [1198, 5201], [7144, 9403], [3498, 9478], [7357, 10450], [977, 2758], [1467, 6557], [293, 10427], [5114, 10090], [102, 279], [910, 11335], [6832, 10979], [3585, 9073], [750, 4637], [2142, 2158], [727, 9349], [2613, 8159], [2611, 11496], [1874, 11203], [3669, 4233], [3056, 5696], [3515, 10182], [2261, 7707], [4203, 7550], [857, 1501], [2298, 3802], [8770, 10302], [6347, 11287], [4245, 6271], [2787, 10382], [757, 1270], [7461, 10749], [2201, 9504], [7758, 9989], [8508, 8989], [1354, 2657], [5082, 7118], [2062, 3683], [976, 8898], [8197, 10790], [7383, 7833], [5084, 10574], [4640, 9402], [4948, 7303], [6360, 11118], [6143, 6919], [6948, 11288], [6198, 10790], [2060, 10403], [5420, 9742], [995, 10079], [6352, 10476], [7432, 11108], [11473, 11562], [1516, 8246], [549, 9211], [3926, 11163], [8986, 10842], [9015, 9328], [3256, 11368], [4684, 9300], [4995, 6718], [1082, 8893], [7052, 11237], [1574, 2939], [1950, 11332], [2320, 3695], [1477, 3006], [2282, 7375], [3677, 9331], [4406, 9706], [2958, 3982], [845, 5947], [5245, 7243], [1195, 6703], [4839, 6555], [723, 9899], [3684, 7469], [2898, 3150], [3495, 10953], [5202, 7546], [6795, 10241], [1250, 4131], [3357, 3849], [7118, 8450], [177, 3165], [6195, 9687], [6995, 9548], [5193, 6679], [6862, 7706], [525, 3848], [5347, 10529], [827, 9848], [82, 9694], [6522, 11021], [6778, 8732], [3170, 4373], [424, 6425], [1885, 6749], [2669, 6831], [4099, 5590], [10069, 10186], [6333, 11499], [705, 5886], [7212, 8435], [2215, 5348], [7051, 10961], [1155, 6122], [3961, 8285], [3006, 6601], [845, 5142], [5392, 9898], [4559, 9897], [1593, 9731], [1782, 5466], [784, 7118], [3363, 4394], [7041, 9492], [1028, 1062], [1662, 10999], [8227, 10520], [3301, 6899], [3115, 3511], [1036, 10722], [3540, 9167], [2136, 2961], [5251, 6633], [7028, 11135], [278, 2412], [2040, 5882], [1761, 6467], [3884, 5944], [1195, 1360], [5100, 9847], [6937, 8738], [6562, 6609], [4499, 7937], [10482, 11240], [5646, 6381], [1766, 4532], [4159, 11252], [3973, 5612], [549, 4568], [7240, 9678], [908, 4686], [1104, 2346], [1534, 8346], [3808, 7238], [3283, 4384], [4936, 11294], [5368, 10951], [4637, 10503], [3398, 9060], [7202, 10325], [3955, 9917], [2902, 4692], [5605, 10140], [2563, 5226], [1338, 7653], [6110, 11561], [6982, 11490], [1629, 7802], [4425, 9277], [906, 10625], [931, 5959], [9895, 11271], [143, 8387], [7090, 11208], [4382, 9580], [3881, 5622], [729, 2068], [5126, 10263], [9207, 10116], [2127, 7705], [7892, 9617], [6030, 8949], [5933, 9016], [195, 4763], [8257, 11435], [4623, 8861], [3527, 6972], [3057, 10995], [1973, 10621], [2573, 8142], [7669, 8232], [4995, 7686], [4608, 10458], [1220, 4907], [5175, 10505], [6348, 9416], [154, 5112], [152, 8449], [224, 10769], [6698, 10926], [4511, 8246], [4695, 10053], [5409, 9396], [4109, 9929], [6101, 9889], [4324, 5387], [1333, 6854], [2109, 2157], [3413, 8913], [1730, 9708], [3502, 8204], [1012, 7213], [1413, 8311], [4936, 9334], [788, 8259], [917, 3943], [6668, 7677], [228, 9733], [2690, 8676], [3645, 3944], [8355, 10384], [1564, 8076], [944, 9122], [1873, 9585], [1159, 3826], [746, 1967], [2893, 5248], [8620, 10840], [1709, 2014], [6189, 7800], [2616, 10043], [1955, 10334], [6900, 10255], [592, 11299], [3070, 3605], [3853, 4997], [7837, 11333], [6302, 8616], [5629, 10028], [5720, 9392], [4309, 8431], [4844, 5557], [1487, 5735], [2357, 9001], [115, 8866], [4370, 9838], [13, 10087], [6050, 7991], [1881, 6039], [6105, 8452], [7662, 8484], [3221, 8288], [937, 7927], [1307, 2542], [842, 10319], [2558, 8883], [5112, 10044], [6659, 9388], [9398, 11083], [5786, 9988], [5559, 10763], [7274, 7971], [586, 6542], [9452, 11319], [825, 2394], [582, 9806], [3013, 6430], [2624, 2713], [1854, 6444], [8977, 11211], [2661, 5224], [75, 1115], [6344, 10666], [763, 4899], [947, 1044], [2662, 8832], [3567, 4737], [3928, 7934], [3685, 8930], [3965, 11199], [228, 4740], [6138, 9285], [5234, 8320], [5517, 10106], [8688, 11458], [2967, 9818], [911, 1737], [308, 9580], [5858, 7366], [2393, 5567], [5450, 5851], [6602, 8049], [984, 2400], [9397, 10053], [2979, 6795], [1826, 4372], [9136, 11217], [263, 6023], [176, 362], [4902, 8089], [883, 2698], [4907, 8433], [1282, 2215], [5614, 10015], [1474, 2385], [7908, 10313], [12, 2590], [5944, 9368], [4209, 9973], [1186, 9273], [1401, 10393], [345, 2241], [2734, 11471], [2555, 10008], [1681, 7000], [5607, 9194], [430, 10458], [6846, 10637], [9679, 11213], [2919, 10470], [273, 3304], [1515, 5018], [6308, 6797], [2607, 7165], [2135, 7355], [7238, 10868], [7430, 11038], [391, 10880], [10938, 11029], [4553, 9409], [260, 5701], [4124, 7017], [5402, 8388], [1572, 5902], [2258, 2443], [5802, 9261], [2723, 4465], [1506, 10917], [787, 4814], [2803, 9332], [279, 6101], [9339, 11121], [318, 5275], [3404, 10461], [7059, 7496], [586, 10193], [4271, 10046], [9180, 10310], [1828, 8874], [1986, 9460], [88, 2719], [8116, 10561], [3443, 6632], [3164, 7217], [1491, 2284], [8667, 10849], [19, 8217], [4098, 11407], [2880, 4425], [502, 10845], [1166, 3655], [6742, 9078], [2874, 10272], [4393, 10574], [3241, 4589], [5171, 7835], [312, 7688], [4362, 5976], [2925, 10210], [6996, 9375], [560, 10419], [8810, 10726], [5880, 6053], [3767, 7264], [5666, 11197], [2741, 11032], [150, 5825], [9583, 9895], [1682, 8244], [5717, 7752], [2942, 4148], [4168, 5329], [2941, 4677], [10670, 10917], [543, 2494], [5985, 9637], [4281, 5391], [2280, 8351], [2221, 11154], [2756, 8280], [6087, 6881], [6149, 7759], [9200, 9726], [514, 10774], [1653, 2187], [1307, 1550], [6697, 7749], [6511, 11531], [7595, 9653], [1769, 9717], [2235, 8958], [6655, 8277], [2458, 4277], [1057, 10420], [2390, 9246], [3608, 5648], [2419, 7732], [7398, 8735], [7458, 9540], [25, 3793], [10345, 11133], [7243, 8797], [5581, 10469], [2224, 4231], [4534, 9196], [9666, 11195], [827, 4831], [6825, 9223], [6644, 6933], [6750, 7359], [2899, 10412], [3210, 7830], [533, 1351], [1525, 6300], [3419, 11387], [0, 4271], [1830, 10319], [4383, 7872], [1370, 7860], [2265, 3077], [2614, 3985], [2672, 7373], [4327, 4530], [2812, 6629], [978, 1593], [2002, 10961], [1945, 10427], [1849, 4303], [8815, 11338], [1607, 7399], [660, 5606], [1341, 1803], [4081, 10516], [1813, 4242], [5168, 8155], [4705, 6179], [987, 11104], [6138, 10871], [4861, 6692], [1108, 6146], [7995, 8162], [2792, 8205], [6097, 7837], [6990, 8643], [622, 9636], [6215, 9778], [5783, 10121], [7956, 8207], [6153, 8900], [492, 895], [9204, 10867], [7014, 10168], [3028, 6388], [1622, 10689], [3473, 4752], [3311, 6676], [5459, 11313], [1278, 3682], [2590, 7293], [842, 3529], [3992, 6256], [2891, 11193], [8847, 9667], [4236, 6616], [4573, 6009], [5849, 9963], [1856, 6547], [6031, 9445], [1857, 2985], [743, 6906], [645, 3365], [303, 3601], [514, 3821], [6336, 10431], [878, 9201], [2975, 6703], [1626, 6620], [6106, 6744], [3963, 9998], [267, 10710], [6162, 7807], [7168, 10180], [2459, 6594], [3613, 9619], [683, 4946], [10209, 11459], [6383, 9846], [2670, 7945], [1304, 5229], [6971, 10016], [7148, 11406], [3662, 8730], [4606, 10979], [2602, 3088], [3668, 10430], [1397, 4639], [9387, 11243], [1944, 4808], [3131, 6061], [7609, 9522], [2814, 3910], [5432, 6776], [542, 5064], [578, 4721], [676, 1092], [7795, 9123], [916, 11132], [4685, 9178], [8878, 9272], [3711, 8972], [1968, 3300], [789, 1908], [5212, 11324], [1415, 4814], [2502, 8869], [7848, 9134], [8316, 11454], [3240, 6354], [4422, 7263], [308, 5018], [6200, 6705], [1490, 9310], [3567, 5436], [2828, 8480], [3548, 11021], [2478, 10353], [1826, 6226], [5542, 7644], [2892, 9404], [6469, 7280], [9707, 9854], [1020, 8048], [868, 9906], [426, 9561], [555, 5245], [5928, 10339], [3249, 9449], [1019, 3659], [9973, 10535], [2034, 6148], [3506, 7762], [2011, 2192], [1042, 2330], [8875, 8950], [2127, 3306], [5736, 10519], [3962, 5534], [2994, 8526], [3123, 4210], [2676, 3521], [2896, 5739], [4360, 5580], [4019, 9451], [3706, 4790], [2097, 3814], [2310, 11277], [3802, 4498], [10271, 10727], [2859, 5857], [3552, 10739], [4076, 9204], [2013, 4116], [280, 5548], [1856, 10548], [9739, 10839], [1272, 10497], [2982, 7361], [4992, 8681], [513, 8001], [2328, 6571], [3264, 4041], [3759, 10436], [1261, 5420], [946, 10512], [137, 8653], [9092, 9715], [2479, 10123], [1732, 8388], [5770, 11577], [111, 10815], [10911, 11410], [2783, 10534], [10429, 10912], [5766, 7671], [5640, 9252], [3804, 9805], [8692, 9192], [7348, 9453], [2556, 10528], [3433, 10801], [2683, 10303], [7402, 9689], [189, 6160], [8153, 11543], [741, 6673], [3106, 11345], [4751, 7814], [2829, 6341], [2206, 7116], [1580, 4210], [1337, 4452], [5062, 5232], [216, 7202], [3377, 3702], [3998, 6264], [452, 3537], [9455, 10275], [770, 2126], [1052, 1058], [1978, 4256], [1795, 5303], [4723, 9149], [2066, 3322], [5830, 7440], [6525, 6733], [7519, 8345], [1473, 6191], [237, 8429], [3176, 6048], [9913, 11503], [5054, 9104], [10525, 10569], [1965, 10036], [3210, 8261], [2284, 11479], [8743, 10604], [3323, 5694], [1153, 7125], [9654, 10461], [802, 6144], [0, 4702], [2305, 2907], [935, 9117], [6837, 7385], [5751, 8436], [4510, 10330], [864, 10405], [1800, 7875], [8088, 9562], [545, 5175], [1510, 7547], [1742, 7116], [2012, 2281], [2967, 4719], [852, 5857], [4401, 5849], [6680, 9249], [3901, 11161], [3927, 10130], [2817, 10787], [7294, 11394], [1132, 11509], [4924, 11259], [10989, 11211], [598, 2153], [1530, 9303], [7247, 7791], [2023, 6203], [9275, 9660], [2836, 11187], [1621, 5634], [115, 2157], [92, 453], [4192, 4520], [9582, 11473], [1664, 7963], [5194, 10157], [3626, 9212], [3383, 5290], [1408, 6465], [4815, 10511], [4466, 10357], [6236, 11436], [8500, 9640], [9620, 9671], [5366, 11553], [313, 987], [311, 10740], [1505, 6748], [8499, 9415], [223, 8641], [127, 2517], [1058, 6059], [3337, 5295], [9283, 9497], [1279, 11131], [1566, 10407], [7533, 9070], [35, 2928], [2839, 11434], [4601, 8488], [2607, 5449], [6543, 8331], [342, 9272], [3206, 9915], [7440, 10010], [4699, 5990], [9831, 10241], [8989, 9400], [2666, 9412], [8643, 8763], [207, 3570], [730, 5597], [5938, 6652], [87, 9103], [2465, 8375], [5441, 9229], [4557, 5533], [1071, 2857], [1048, 7569], [3593, 6015], [5047, 5168], [793, 7050], [252, 2939], [6162, 8238], [4981, 10183], [783, 3329], [6611, 8973], [560, 6475], [6069, 8424], [3206, 5727], [2461, 4819], [2063, 10408], [4701, 4881], [5074, 9593], [2204, 9135], [2276, 11455], [5013, 9317], [1157, 7862], [492, 9165], [6120, 8362], [808, 11091], [9116, 10622], [7361, 9851], [3352, 5148], [10194, 10427], [4308, 10440], [5058, 8686], [4402, 9321], [1720, 2498], [4226, 11539], [7232, 10380], [1757, 5763], [580, 5198], [6273, 11206], [3957, 6426], [5483, 7145], [2491, 5758], [823, 7585], [1408, 8238], [11272, 11363], [2707, 4070], [2079, 10136], [6850, 8184], [9902, 10376], [2560, 10409], [9771, 10859], [6003, 9251], [6445, 10350], [7066, 8748], [5323, 9492], [1714, 3033], [2305, 2720], [1403, 4080], [400, 5388], [4565, 9850], [3049, 3403], [8929, 9991], [2816, 10779], [1443, 6138], [2795, 9902], [116, 2596], [603, 2714], [544, 5517], [3224, 5097], [157, 1092], [1466, 4028], [2904, 6812], [7945, 8693], [2277, 10097], [5916, 9605], [7015, 8759], [1124, 4264], [5010, 7059], [8093, 8564], [223, 6226], [4700, 6079], [3547, 4410], [2247, 11359], [3856, 5165], [3487, 9240], [2300, 7987], [837, 11000], [1804, 4373], [5102, 6998], [3944, 10647], [2449, 5077], [1573, 4625], [4487, 10293], [2649, 7767], [106, 4486], [6924, 10869], [5895, 10956], [1308, 6047], [3838, 9066], [11019, 11559], [3555, 10663], [9209, 11081], [7691, 10223], [8806, 9910], [2278, 6484], [10917, 11282], [2825, 6653], [903, 5180], [7530, 8585], [2728, 6720], [1179, 10713], [2338, 9918], [4974, 9980], [7591, 9992], [53, 5949], [6747, 9078], [4685, 6844], [4618, 5622], [4683, 10181], [1670, 10169], [1197, 7505], [5773, 11501], [3689, 5536], [1815, 9769], [9196, 9664], [6582, 6917], [1666, 9646], [780, 5123], [353, 9974], [2722, 5720], [812, 1628], [414, 7217], [944, 3999], [4243, 9478], [1894, 8722], [966, 8861], [4727, 9298], [4577, 5567], [5410, 6322], [4131, 5480], [4354, 7215], [3542, 5085], [5524, 6609], [1300, 4950], [355, 5482], [2414, 6664], [4038, 8672], [728, 7942], [5991, 8704], [8668, 9521], [258, 5549], [5280, 7380], [2968, 8004], [3377, 6711], [5769, 10577], [4834, 9545], [4583, 5762], [8230, 9295], [5766, 9525], [733, 5253], [2030, 6674], [3238, 6552], [903, 9636], [3189, 10043], [2623, 7188], [3497, 7944], [3681, 10505], [446, 5196], [369, 3286], [4491, 9556], [1965, 9662], [3871, 9848], [6421, 8638], [4637, 9381], [4912, 11306], [1938, 10468], [1837, 4000], [4257, 6127], [1278, 5699], [1770, 5407], [3948, 8755], [3382, 5900], [4720, 11486], [4255, 8683], [2166, 2374], [7403, 9085], [478, 3579], [3134, 9181], [1207, 3954], [5247, 7216], [9111, 9286], [2821, 4520], [300, 4970], [21, 5555], [1268, 11023], [2137, 7271], [2701, 9299], [1944, 7630], [4337, 7934], [887, 11331], [9531, 10811], [1868, 2158], [7736, 11365], [8814, 11170], [2871, 4233], [789, 1347], [2535, 4284], [379, 9585], [5037, 6066], [4388, 7872], [1936, 9617], [8009, 9430], [2376, 3473], [180, 5211], [9961, 10745], [3612, 4618], [709, 1768], [2018, 8868], [2104, 3724], [1209, 6255], [5094, 9202], [3790, 6610], [1856, 4376], [4692, 8633], [2355, 4474], [2222, 4884], [6246, 8367], [2533, 6466], [5060, 9968], [2417, 8735], [793, 1065], [1971, 4484], [1807, 9745], [7667, 8511], [6323, 9526], [2154, 6820], [9437, 9590], [7353, 10041], [2558, 5183], [4022, 5024], [7320, 7649], [7352, 10570], [561, 8262], [4143, 6482], [2961, 5573], [1422, 9530], [333, 5402], [6563, 9363], [3113, 6344], [1394, 8236], [5967, 7797], [3634, 5292], [6164, 8311], [2761, 8144], [2945, 7699], [4746, 11097], [2624, 8812], [2909, 5009], [6300, 10831], [8074, 9400], [9727, 9894], [8173, 9379], [6796, 11412], [6108, 7628], [287, 8036], [4528, 10056], [7819, 11510], [3953, 9367], [694, 10080], [9252, 9786], [1411, 8940], [819, 4864], [3921, 9829], [7374, 10113], [5266, 6006], [813, 10711], [2962, 9157], [1332, 2416], [347, 8437], [2799, 10856], [3485, 7397], [2143, 9239], [3012, 5487], [5849, 9215], [8648, 10961], [8922, 10032], [6193, 9779], [9393, 9617], [5009, 5791], [9169, 9909], [1077, 5280], [2171, 4090], [2319, 3988], [3225, 9917], [2855, 3968], [5279, 6591], [4959, 11339], [1851, 11467], [7269, 9888], [113, 9145], [2842, 9398], [46, 753], [7415, 9713], [223, 6307], [753, 3089], [5212, 7998], [1655, 11528], [3116, 5436], [4239, 11400], [5925, 7870], [536, 7935], [6009, 6063], [1377, 2135], [8715, 11028], [3180, 6360], [348, 2222], [1740, 6913], [2893, 5549], [9279, 10777], [10495, 10516], [2928, 7987], [3953, 8912], [7924, 10125], [3760, 8517], [2385, 10219], [293, 10809], [9236, 10326], [2323, 7089], [5990, 11274], [1410, 3372], [385, 10748], [789, 4193], [2315, 2660], [4651, 9600], [3648, 10154], [6297, 8923], [7355, 11486], [191, 302], [251, 353], [6541, 9283], [7036, 9262], [2347, 11216], [2003, 11406], [1148, 8448], [7898, 8503], [217, 4906], [1966, 11524], [6264, 9914], [3358, 9799], [3523, 5140], [1553, 3249], [5539, 10412], [4104, 4893], [1958, 10882], [2304, 5103], [1891, 2490], [1920, 8146], [5996, 6901], [4005, 4133], [1742, 8783], [8172, 9422], [7494, 10490], [5061, 6623], [8268, 9884], [4340, 10273], [8116, 10244], [714, 5308], [6335, 10504], [8140, 8386], [7923, 9849], [1114, 6181], [39, 5169], [6983, 8473], [6546, 8472], [3529, 4554], [480, 2633], [3465, 7013], [1, 5816], [4775, 10551], [2627, 2881], [3308, 6248], [6298, 10972], [288, 9229], [3514, 10288], [3420, 9872], [6446, 7837], [7282, 8109], [3641, 8528], [3226, 10006], [6958, 9705], [8021, 8448], [1354, 8650], [3728, 4740], [2504, 10021], [8264, 11589], [2015, 7578], [3312, 8245], [5676, 7811], [8175, 9265], [1543, 11151], [3812, 9699], [6768, 9177], [8046, 10548], [5448, 8334], [7077, 10686], [1378, 6361], [1003, 4232], [4389, 5546], [4671, 8642], [5786, 8329], [2176, 10313], [3800, 11567], [469, 4298], [5474, 6522], [195, 5227], [1681, 7301], [535, 1885], [246, 8198], [3042, 3257], [4514, 7877], [376, 7490], [4908, 11214], [2740, 2892], [4369, 4520], [1801, 8534], [863, 10237], [8204, 10733], [1583, 6362], [420, 9667], [2627, 7337], [9344, 11416], [1940, 10571], [7313, 9249], [2490, 8005], [5824, 6877], [3590, 10767], [2494, 8878], [2026, 2394], [226, 2604], [2746, 9099], [1748, 10751], [4174, 7031], [6600, 10481], [687, 4884], [3290, 8970], [7366, 8479], [812, 10248], [8807, 10780], [9244, 11535], [4655, 5799], [2037, 6316], [5522, 8767], [6464, 10189], [3255, 10265], [8348, 8926], [2133, 3745], [4048, 7457], [3154, 7180], [5798, 11267], [1247, 1851], [1470, 10756], [3836, 6985], [2742, 11558], [9094, 10032], [1465, 6625], [2580, 6312], [209, 3323], [10026, 10766], [9235, 9513], [8276, 10339], [7505, 11216], [4379, 6631], [3257, 5773], [5956, 8069], [2012, 3761], [2941, 11394], [145, 9165], [5268, 6914], [319, 8005], [2502, 6779], [7271, 11170], [811, 1297], [1187, 10444], [9284, 9755], [1120, 2806], [2069, 11061], [2160, 11179], [10028, 10438], [4302, 7700], [8166, 9770], [1404, 5948], [3465, 3793], [4733, 10138], [4709, 5580], [8778, 10334], [621, 4556], [7069, 10662], [5172, 10939], [4662, 8393], [1203, 10546], [3718, 3865], [5161, 9245], [3757, 9455], [1541, 10541], [5374, 10292], [9660, 10577], [5186, 10995], [4219, 11206], [637, 8822], [291, 8185], [8243, 10525], [6213, 7829], [9754, 10212], [7264, 9975], [2068, 4019], [3434, 7489], [1352, 11019], [4862, 5421], [5804, 6089], [2280, 7847], [167, 2642], [1694, 4717], [5861, 10006], [5859, 9933], [2657, 11180], [103, 8484], [561, 3700], [2272, 9834], [4481, 8331], [899, 3695], [441, 2063], [2617, 11000], [5998, 8964], [5535, 7742], [3086, 9758], [4471, 11026], [1962, 5821], [4071, 7120], [4320, 7824], [5440, 7855], [8363, 11357], [4187, 8234], [10061, 10870], [208, 5625], [2746, 8562], [1041, 9009], [2519, 6304], [3678, 6263], [4108, 11509], [2862, 6643], [7066, 11033], [499, 2017], [4705, 6480], [7253, 10859], [18, 5127], [5136, 8918], [5633, 9724], [8367, 11075], [4938, 8933], [4222, 9517], [1520, 11087], [3423, 5340], [89, 806], [2327, 3451], [2294, 7475], [112, 7391], [19, 4948], [2319, 9225], [8769, 11240], [7668, 9007], [2938, 4544], [4092, 4159], [7631, 9879], [4470, 6963], [2662, 3148], [6864, 10875], [7136, 9119], [2318, 8973], [4424, 10001], [6886, 8190], [1903, 9697], [7419, 8653], [5568, 8174], [4590, 11202], [2586, 7475], [2374, 9282], [6380, 10304], [7601, 10387], [5758, 7517], [2520, 2691], [11454, 11544], [163, 7679], [2245, 4149], [216, 10723], [5935, 10038], [6628, 10002], [4441, 7322], [50, 2325], [669, 8224], [1264, 6155], [4903, 4909], [7275, 10752], [4935, 7830], [1201, 11468], [1392, 8784], [3443, 5941], [516, 11365], [6232, 6245], [4373, 9258], [1350, 8558], [2185, 2189], [3345, 11418], [164, 7126], [4106, 10607], [97, 5904], [5823, 7888], [5107, 8472], [3842, 5808], [3959, 6393], [1960, 3010], [8367, 9115], [1252, 8373], [3240, 10843], [6722, 9613], [19, 2988], [1085, 6166], [2647, 7296], [8211, 8952], [2638, 3046], [2426, 4853], [2109, 9118], [5497, 9007], [3043, 10679], [1449, 10765], [5778, 7714], [7980, 11456], [2352, 10007], [6397, 10203], [2228, 8251], [543, 8219], [2105, 9349], [2229, 4689], [3277, 9570], [2432, 5048], [2476, 10982], [6022, 7293], [8697, 11447], [6145, 9578], [6262, 10917], [10343, 10770], [35, 10637], [4386, 5655], [2419, 6691], [533, 1465], [8748, 10631], [6566, 8295], [7622, 10785], [2644, 8472], [9922, 10898], [2539, 4514], [837, 5259], [2444, 5408], [8080, 10882], [2268, 3462], [1638, 7230], [1330, 2159], [1696, 6454], [11480, 11505], [10069, 10544], [4379, 8217], [2287, 4643], [7087, 9845], [8379, 8670], [2310, 4812], [2315, 2904], [3619, 5496], [1468, 4725], [4582, 4789], [6223, 10184], [6660, 6775], [7544, 8219], [8965, 11396], [462, 4981], [2154, 11065], [6659, 9933], [10026, 11197], [1268, 9925], [10328, 10781], [2945, 8561], [926, 10161], [5835, 10425], [1645, 9094], [3324, 10809], [7216, 8511], [2015, 2211], [1755, 7010], [691, 3878], [3313, 4234], [169, 11121], [3187, 5815], [9035, 9482], [3488, 8961], [4716, 10215], [5303, 9783], [5148, 5708], [882, 10239], [323, 2139], [158, 382], [2439, 6861], [3315, 4280], [3557, 10229], [6234, 10292], [2055, 3488], [1310, 2580], [2405, 10660], [4399, 11447], [3267, 3485], [8868, 10658], [3235, 4701], [1715, 7180], [1082, 3103], [154, 9658], [6183, 9199], [646, 10120], [4156, 10938], [4006, 7207], [9515, 11408], [7089, 8712], [1421, 10116], [1641, 8170], [2105, 6584], [7767, 11027], [5967, 11237], [979, 5984], [4960, 8639], [8707, 9370], [4929, 7074], [5831, 9097], [6417, 8440], [5090, 11314], [413, 3479], [4736, 10035], [1832, 3577], [1154, 4645], [806, 3181], [1800, 11209], [4164, 6611], [5998, 9395], [2235, 8885], [927, 4639], [92, 7975], [1585, 10466], [3321, 6299], [1829, 6662], [3293, 10667], [1509, 11410], [4380, 8306], [6312, 8215], [3540, 4882], [268, 10271], [2560, 6359], [8441, 10166], [502, 5779], [314, 6482], [5612, 8928], [5825, 9975], [572, 3485], [2585, 10738], [7685, 8318], [7659, 9349], [3485, 6299], [1599, 7489], [592, 11307], [1552, 6919], [748, 5404], [1617, 5816], [5935, 11274], [10953, 11451], [521, 9562], [10987, 11035], [1646, 9937], [4918, 11341], [6273, 9734], [2355, 11565], [4910, 10699], [579, 3501], [2225, 2824], [3092, 8825], [9198, 11030], [4721, 11177], [1794, 10185], [7227, 8914], [1251, 6001], [162, 1119], [2806, 5960], [3052, 9399], [970, 3507], [4058, 5356], [1718, 8096], [2804, 2881], [5257, 9652], [7590, 9905], [1501, 3897], [1284, 5360], [592, 10502], [876, 3845], [181, 2300], [1407, 3481], [2262, 7967], [6938, 9161], [3302, 9924], [1652, 6695], [1960, 11012], [745, 1295], [244, 10169], [430, 2977], [2952, 5381], [1204, 5781], [7993, 8016], [243, 10698], [854, 8408], [632, 3111], [4315, 6301], [3465, 10103], [2167, 11463], [6107, 11111], [295, 3691], [2626, 9533], [610, 8398], [5610, 8026], [2061, 10663], [7591, 9325], [3895, 9283], [339, 5868], [6295, 11512], [1832, 4195], [2117, 7562], [6260, 8293], [4978, 10186], [5671, 7898], [5633, 11578], [1583, 6874], [2980, 9657], [3608, 9226], [6254, 7724], [6880, 11384], [1641, 4600], [5104, 9736], [4109, 10905], [617, 7660], [1135, 2927], [6427, 8591], [3939, 9181], [5840, 9777], [1351, 7655], [5771, 6974], [6557, 7883], [826, 5555], [3312, 8302], [7768, 8032], [2467, 10950], [297, 5211], [230, 3989], [3869, 6907], [1854, 5997], [1220, 1695], [1404, 2004], [2651, 3308], [6350, 7031], [1367, 8538], [5510, 9269], [1936, 4494], [2863, 11300], [812, 7727], [8191, 10205], [8905, 9548], [10584, 11263], [2401, 6516], [3485, 3884], [379, 7845], [1238, 3405], [683, 1840], [6746, 7381], [4605, 7298], [1799, 5135], [398, 9026], [7374, 10333], [640, 8559], [6529, 6565], [4617, 7308], [2998, 6398], [3414, 5522], [575, 7383], [690, 11305], [1595, 3046], [6051, 9192], [2004, 8169], [3683, 9884], [1068, 4283], [2845, 6533], [2525, 7117], [5458, 11307], [7723, 10867], [7633, 7941], [5167, 11508], [6106, 9249], [991, 8385], [1372, 11460], [118, 2569], [2268, 6121], [1019, 3236], [2545, 8119], [547, 4180], [1079, 11588], [8866, 11417], [3756, 5235], [1409, 6804], [3721, 8432], [6986, 8665], [1793, 7144], [783, 7281], [7102, 9779], [7265, 11463], [1107, 2652], [3806, 11364], [2367, 8355], [5693, 7366], [407, 4900], [5790, 10682], [3365, 10840], [3888, 5697], [5044, 6139], [61, 7646], [2473, 5748], [2629, 6261], [6406, 9086], [4591, 7510], [2411, 8253], [1382, 3422], [3839, 6185], [1346, 1513], [3092, 10866], [1257, 2195], [2370, 5219], [231, 5209], [2185, 2433], [6260, 11139], [195, 2519], [5324, 7253], [5575, 11036], [819, 5352], [3587, 11195], [6008, 7885], [4368, 5344], [309, 9222], [2864, 8356], [4861, 8660], [6225, 9051], [7376, 8395], [549, 6430], [8300, 10766], [5037, 8327], [1487, 10362], [2488, 5975], [3014, 5267], [988, 3444], [7106, 8692], [2311, 3834], [1440, 6759], [4867, 5822], [104, 5383], [319, 7257], [3596, 4841], [7538, 8322], [1405, 11087], [5918, 7187], [559, 2930], [3800, 5021], [5381, 10365], [1581, 9219], [1119, 10851], [3359, 8661], [6553, 10936], [1417, 11447], [1544, 7058], [267, 2879], [1505, 4097], [4901, 10263], [285, 6868], [825, 4338], [5274, 9313], [8008, 9910], [1974, 2855], [4271, 9867], [287, 6914], [1089, 1940], [306, 4712], [5675, 6624], [30, 9732], [2055, 7920], [1148, 8936], [6031, 7225], [8410, 10829], [960, 8885], [740, 4415], [3024, 4749], [1085, 7833], [2026, 5647], [2702, 8670], [3792, 9990], [244, 10600], [4903, 5771], [1386, 1530], [1482, 8408], [763, 2305], [4412, 6665], [9577, 10302], [1976, 8943], [164, 1222], [5123, 11372], [5494, 7343], [3040, 8261], [1344, 4687], [1318, 3466], [5702, 7292], [2909, 9498], [266, 8265], [2284, 9446], [190, 2793], [10067, 10287], [1590, 5093], [3744, 3883], [1627, 8358], [787, 10596], [5758, 7574], [1188, 5278], [718, 8547], [6470, 10254], [3576, 5238], [778, 6346], [10292, 11344], [3454, 9190], [1393, 4929], [9235, 9383], [3263, 3960], [3925, 8775], [4006, 7451], [4935, 10920], [5405, 6897], [8641, 8644], [582, 6407], [3546, 5746], [5838, 5998], [2983, 4320], [3194, 10956], [672, 2136], [4317, 9006], [4692, 8129], [5595, 9623], [2942, 7702], [3568, 4192], [1099, 4832], [455, 6982], [3839, 9381], [9193, 9507], [1973, 11223], [1373, 3122], [1154, 7922], [256, 356], [6446, 7170], [3583, 4473], [2989, 10150], [4171, 11059], [5819, 11209], [9160, 10498], [8716, 9326], [3267, 9340], [3538, 8113], [2017, 3574], [1619, 6911], [10583, 11469], [5313, 9536], [5779, 11029], [9552, 10729], [3105, 8231], [1854, 5273], [10880, 11463], [3010, 4961], [5566, 6949], [1952, 2775], [5742, 8114], [2502, 8877], [697, 8743], [1793, 1964], [105, 4667], [1251, 3667], [2446, 9699], [8475, 9240], [7628, 11061], [4178, 8042], [2096, 5156], [812, 10386], [2874, 8833], [1907, 5634], [4137, 8391], [935, 5474], [4419, 5071], [1337, 6420], [530, 1224], [810, 3493], [4507, 10553], [3044, 9402], [2765, 9987], [5191, 7021], [9955, 10314], [6987, 9321], [9007, 11329], [2976, 7955], [6307, 7310], [3498, 10511], [3123, 4218], [8446, 9949], [5366, 8715], [8703, 10514], [4154, 9095], [4806, 6806], [7354, 11185], [408, 4802], [5074, 7560], [623, 6676], [8028, 10375], [1343, 2801], [5231, 9429], [1279, 5260], [692, 7944], [5824, 9943], [5941, 10528], [2556, 8658], [9467, 9570], [2488, 7211], [3825, 5779], [5755, 11277], [153, 4633], [7840, 11428], [2190, 3612], [1329, 11389], [6408, 9590], [360, 11527], [6249, 8779], [4659, 6355], [2756, 5686], [1753, 6240], [101, 7102], [3251, 9829], [9347, 10592], [1131, 3453], [3813, 4614], [2753, 8798], [3739, 6385], [356, 4588], [1404, 3053], [5798, 7567], [510, 10690], [2895, 11133], [384, 5855], [2177, 2222], [4642, 4846], [9001, 10305], [8624, 10355], [2079, 11486], [2860, 11297], [279, 5280], [6168, 8948], [7221, 7757], [3484, 5462], [53, 8909], [4129, 8418], [5972, 8255], [487, 9366], [922, 2124], [3170, 6211], [5833, 8850], [4502, 7818], [6895, 8122], [2993, 10486], [4221, 5324], [3873, 8024], [628, 8443], [4088, 5734], [7606, 10577], [9502, 10829], [5331, 8050], [123, 6995], [3930, 7777], [6602, 7496], [5327, 10560], [872, 8022], [6572, 9539], [4041, 8547], [871, 8551], [1993, 2239], [217, 3597], [1855, 2305], [3201, 7752], [21, 9320], [6029, 7984], [4909, 8707], [733, 11246], [6593, 10766], [525, 4881], [17, 5414], [765, 7751], [8674, 9263], [6900, 8442], [5773, 7240], [1974, 6319], [4274, 10596], [7331, 10880], [1657, 4922], [1417, 8845], [7296, 7661], [73, 9860], [4734, 5858], [5587, 7989], [566, 6760], [822, 4471], [3017, 11206], [5458, 8518], [928, 11313], [9811, 10779], [907, 10436], [967, 4071], [3587, 3600], [3826, 10032], [208, 1575], [1525, 6284], [2834, 8466], [1954, 7895], [8234, 11219], [5758, 9160], [796, 11544], [6431, 7748], [930, 1910], [4159, 8902], [3999, 10899], [231, 9291], [3309, 4036], [1765, 8373], [3286, 8748], [10507, 10640], [1445, 2541], [5586, 6609], [1608, 4225], [7325, 9129], [324, 3039], [5673, 9237], [3061, 3153], [692, 991], [2089, 3774], [2534, 10806], [3066, 7661], [6822, 7754], [13, 10502], [1063, 3378], [1224, 10651], [2900, 5679], [5425, 8354], [8219, 9756], [2429, 9477], [254, 10564], [3, 365], [4509, 5874], [1582, 4882], [6227, 6763], [2025, 8835], [877, 6756], [4662, 9499], [128, 9112], [5938, 10043], [124, 5206], [9645, 11375], [5717, 8354], [4538, 11126], [1455, 3205], [3591, 8579], [47, 263], [10134, 11539], [5812, 8591], [7083, 8037], [2900, 7907], [3240, 4565], [4370, 9448], [1187, 4329], [815, 8887], [3616, 7296], [3083, 4581], [1348, 5186], [5044, 5228], [2251, 6680], [6045, 7257], [2654, 11234], [6104, 7837], [5504, 9535], [8121, 9547], [4136, 9402], [1113, 8702], [992, 10627], [6477, 10270], [4472, 8570], [8261, 8803], [2411, 4309], [699, 6618], [4530, 6296], [1302, 2158], [9267, 11149], [141, 11171], [669, 11290], [982, 6125], [7704, 10548], [3566, 10161], [3277, 3642], [4097, 9797], [5083, 10794], [5268, 9793], [6732, 9634], [4122, 4377], [4922, 9156], [3776, 7904], [8447, 11006], [2332, 5305], [9367, 10225], [1831, 7009], [7197, 9404], [3584, 4701], [2121, 3550], [4829, 10096], [5235, 10784], [2921, 8329], [4724, 5384], [1296, 6850], [5287, 10193], [6925, 9655], [3979, 4449], [651, 9529], [1169, 11212], [9429, 11453], [6309, 10820], [2311, 9689], [2, 1162], [2133, 11080], [941, 8729], [5398, 11313], [8070, 11032], [3676, 6518], [5367, 9748], [3454, 6856], [2549, 8699], [7010, 8773], [6783, 9548], [5253, 7175], [9428, 10073], [7439, 8132], [2514, 8863], [3794, 4645], [1273, 10757], [5523, 5723], [2202, 5558], [7212, 8126], [5193, 6720], [4154, 8371], [4811, 6426], [1948, 7139], [1177, 8016], [1015, 9186], [3074, 11122], [7864, 9220], [5612, 7643], [7052, 7090], [944, 4812], [1950, 7185], [6015, 6535], [7766, 9816], [385, 4259], [1073, 3879], [5553, 7413], [3547, 10029], [3875, 9306], [8352, 9159], [8161, 10345], [6359, 9728], [380, 2380], [2842, 5487], [6293, 11360], [1907, 10871], [4641, 11468], [2578, 6380], [962, 9151], [2799, 5790], [5309, 6679], [1334, 1560], [991, 4604], [2851, 5199], [7121, 11367], [8575, 10520], [581, 8678], [1949, 6559], [1643, 3069], [7279, 8543], [1114, 2725], [4844, 8013], [6251, 11484], [4436, 10662], [2039, 6452], [7543, 10309], [927, 6282], [9048, 10151], [117, 815], [3969, 5534], [4557, 5704], [4078, 5477], [7042, 8980], [657, 7360], [1054, 4552], [1103, 11584], [2872, 9809], [4455, 4646], [3615, 6884], [1960, 3311], [4112, 7690], [3701, 6658], [406, 544], [5261, 6207], [1395, 4064], [4010, 7413], [7538, 9534], [3362, 5657], [10774, 11281], [2147, 8772], [10672, 11004], [5151, 5288], [7812, 11234], [718, 11369], [5653, 6438], [390, 5676], [8336, 9699], [7455, 9684], [3754, 5888], [574, 10866], [5343, 8841], [5341, 8014], [9257, 9520], [3402, 4682], [1099, 4271], [890, 6349], [5993, 9108], [6537, 9760], [4458, 10555], [3687, 11432], [3589, 7891], [1101, 4317], [2457, 6345], [2964, 7839], [2585, 11226], [8091, 9494], [185, 7499], [1219, 2094], [3552, 8763], [2082, 4189], [903, 6961], [2800, 10067], [1179, 6078], [5473, 6978], [1333, 9928], [3826, 7430], [7735, 8519], [830, 10805], [646, 8998], [3473, 5622], [711, 7141], [2230, 6689], [945, 2649], [5313, 5942], [9208, 9577], [8945, 10695], [196, 841], [1478, 2331], [2097, 10482], [1058, 3465], [4860, 10319], [8354, 10604], [6503, 10125], [1897, 7418], [386, 1315], [752, 11272], [2526, 3425], [595, 11288], [2312, 9323], [2066, 5884], [502, 2429], [5226, 8575], [7251, 10927], [6716, 7385], [819, 10215], [5348, 10258], [1120, 11109], [2271, 6289], [9399, 11400], [4953, 6696], [4330, 7471], [2974, 4719], [3548, 7435], [8238, 8335], [1509, 6905], [2725, 6644], [8619, 11410], [1443, 2121], [7402, 11446], [668, 5508], [4757, 9386], [7916, 9223], [7952, 8880], [2936, 11001], [6205, 8724], [2342, 10262], [2529, 3672], [2437, 10499], [1912, 7645], [5823, 8807], [1129, 11171], [1502, 9467], [4428, 10234], [2203, 7070], [4355, 11449], [6036, 6821], [7751, 10445], [1242, 11233], [2261, 4796], [27, 7932], [2446, 3795], [1370, 9698], [7779, 9460], [5403, 6127], [7710, 11575], [2015, 4740], [2016, 7594], [6555, 9079], [1911, 3636], [7172, 7735], [1172, 6680], [2041, 2928], [3508, 6450], [6111, 8284], [1567, 7209], [569, 8107], [1847, 3062], [7550, 10512], [602, 9718], [1445, 11161], [822, 5520], [7503, 9942], [1942, 5551], [1529, 10108], [1434, 3832], [8192, 10918], [3274, 6404], [1152, 4119], [9113, 9985], [711, 10792], [28, 936], [5998, 9696], [5626, 7838], [6630, 10138], [6491, 6596], [8022, 8413], [6207, 7591], [1580, 4007], [169, 9462], [337, 11490], [640, 9047], [4664, 8366], [5600, 5836], [573, 1409], [3718, 3792], [2296, 9058], [1890, 8370], [2079, 11275], [1019, 11295], [456, 9869], [384, 7522], [4028, 11538], [6201, 9624], [5012, 5292], [2245, 8719], [9127, 10391], [1404, 1687], [5175, 6976], [3016, 7842], [261, 6368], [4486, 9383], [4732, 8658], [7564, 10544], [6222, 7468], [281, 1358], [1810, 5758], [2668, 3345], [7222, 10026], [1360, 10433], [5226, 6160], [799, 5670], [8641, 10124], [771, 3622], [1760, 11306], [4341, 5245], [2386, 7796], [4790, 5980], [2001, 11368], [1784, 6415], [6869, 8568], [2230, 9885], [2376, 9710], [2911, 6836], [1538, 6359], [9323, 10279], [2812, 10240], [3268, 4629], [6080, 10744], [292, 7128], [4077, 9871], [7163, 8641], [2715, 3110], [6944, 10031], [8654, 11059], [2957, 9059], [994, 8339], [1990, 10024], [1543, 2165], [2045, 3315], [1355, 2868], [4567, 6473], [394, 7031], [1579, 8211], [7207, 7408], [7766, 9092], [2580, 3824], [5312, 10764], [882, 3587], [5250, 7634], [52, 7267], [6953, 9743], [599, 7436], [2660, 5281], [321, 10875], [1844, 5661], [5646, 6853], [792, 10460], [1544, 6123], [3280, 8372], [3810, 5154], [5642, 9363], [565, 5573], [3997, 7232], [9095, 9647], [9193, 10182], [3555, 3881], [7159, 10750], [3934, 6129], [1687, 4896], [1382, 10676], [852, 8232], [7379, 11433], [6135, 9646], [7164, 8061], [5564, 10611], [3053, 5333], [1861, 3736], [563, 5096], [4143, 6653], [5853, 7681], [4572, 6012], [334, 8427], [1943, 2233], [3940, 8953], [5779, 8671], [4370, 8537], [2190, 2864], [5345, 5935], [5529, 7742], [2605, 11185], [971, 2073], [2066, 10153], [5402, 9852], [3029, 3784], [1031, 5507], [511, 7915], [3310, 8907], [7441, 8877], [9614, 11127], [4824, 6613], [2499, 10385], [4856, 11032], [3682, 8486], [2118, 10693], [2519, 4621], [7653, 9699], [8711, 8852], [4356, 9928], [6729, 7328], [5476, 7707], [6658, 8616], [2556, 3722], [7910, 11018], [1238, 10122], [3354, 7674], [2550, 10323], [4128, 4816], [7923, 8247], [8050, 10274], [3814, 6346], [1885, 10872], [6838, 10654], [4123, 7855], [5741, 11546], [9574, 11297], [1166, 1736], [5966, 7692], [7166, 8426], [1724, 3168], [1409, 8260], [5351, 10987], [977, 1433], [1254, 4185], [2429, 10339], [1403, 9943], [7913, 10511], [800, 5708], [8929, 9438], [1954, 4569], [1421, 1854], [5873, 10510], [54, 1165], [7495, 10937], [4945, 6485], [1759, 1849], [9354, 11307], [4089, 7466], [6463, 10726], [4277, 10900], [4213, 9195], [476, 2736], [10405, 10420], [3377, 5890], [3898, 4838], [841, 7937], [1426, 4426], [4519, 6619], [3886, 6706], [1504, 9944], [2965, 3852], [5795, 11327], [1650, 9769], [652, 10667], [1989, 6983], [7990, 10892], [1831, 9026], [3039, 4740], [6803, 8858], [6524, 7191], [3377, 4735], [3380, 8416], [6088, 10044], [9790, 11032], [1034, 7177], [8196, 11118], [8316, 9722], [2813, 9473], [3711, 4207], [3433, 7646], [2779, 6856], [3701, 6902], [8467, 10241], [7180, 11036], [2137, 8328], [740, 3293], [5406, 6051], [6940, 11549], [11109, 11249], [2293, 2425], [7530, 8382], [5011, 9659], [1109, 4853], [10042, 10852], [9018, 10529], [9890, 11212], [2672, 8837], [7309, 10857], [3725, 7646], [2378, 8390], [454, 6844], [3093, 4171], [734, 2697], [10286, 10431], [1607, 5480], [2440, 6235], [5177, 7103], [631, 4447], [3406, 5799], [94, 4996], [9751, 10272], [3061, 8016], [9995, 10632], [1060, 3806], [2616, 4367], [3233, 3777], [1395, 9919], [65, 6106], [182, 1029], [715, 7908], [1954, 5187], [4923, 9034], [8405, 8558], [3037, 9500], [729, 4581], [9703, 10581], [8180, 9379], [3445, 3818], [4274, 7083], [7666, 10097], [606, 9062], [2067, 2970], [5885, 8105], [2564, 3022], [9754, 9765], [3152, 10362], [2615, 3741], [5400, 8033], [99, 4535], [1036, 11275], [9773, 10946], [1533, 5665], [411, 8971], [1968, 9757], [5919, 7285], [530, 10356], [3601, 7340], [5903, 8280], [6524, 10842], [646, 11470], [4215, 6452], [6580, 11124], [18, 2452], [2626, 6882], [9914, 9996], [4000, 7961], [6328, 7870], [1383, 5697], [739, 7847], [944, 4869], [5025, 8886], [2222, 5486], [572, 2257], [7540, 10119], [7421, 8707], [4907, 10328], [661, 5712], [7393, 10823], [6667, 10719], [414, 11470], [9060, 11023], [1539, 9593], [5897, 8034], [7323, 9303], [5394, 6659], [2641, 7540], [7338, 9611], [5324, 11555], [2647, 5076], [2523, 6730], [8376, 10741], [11201, 11456], [5129, 8081], [4286, 7392], [5468, 8301], [4258, 5344], [5283, 7767], [1262, 6467], [3080, 10970], [3810, 4430], [6627, 10889], [2326, 2402], [5407, 7244], [10324, 11533], [2545, 10811], [978, 3675], [8448, 8523], [1964, 10307], [4612, 5468], [2873, 9337], [1476, 4302], [4184, 5930], [414, 10665], [906, 3957], [3588, 9282], [656, 10198], [3181, 10621], [1404, 6119], [3494, 8866], [3303, 5134], [3769, 4375], [8681, 10572], [183, 4501], [8488, 10931], [6437, 7358], [3202, 8465], [497, 6354], [2076, 10117], [918, 8104], [3975, 7634], [1736, 4764], [9702, 10974], [550, 6365], [240, 5385], [1014, 4779], [4868, 5407], [5081, 6454], [6199, 9822], [3969, 4786], [4120, 10617], [10097, 10722], [3304, 5335], [1996, 8259], [2932, 5729], [6235, 8698], [2905, 4283], [3829, 7408], [410, 10118], [2086, 8152], [8350, 10943], [4957, 11464], [3546, 4087], [373, 10236], [8740, 10347], [4786, 6105], [7093, 11553], [1202, 6304], [460, 5667], [1422, 2106], [7332, 7405], [4656, 10196], [3854, 8754], [9071, 9171], [5337, 6393], [141, 437], [2190, 8101], [2067, 9199], [4550, 6013], [2962, 4416], [9, 10871], [1845, 3902], [7608, 9151], [2085, 6772], [510, 5380], [3994, 11393], [7167, 9408], [2707, 6526], [1528, 11550], [0, 10004], [683, 7028], [2608, 5766], [3327, 5453], [1835, 3564], [3987, 7189], [1611, 3856], [1244, 8758], [1084, 11509], [8348, 10065], [5098, 9386], [678, 3651], [4227, 4397], [271, 11406], [3609, 5516], [7115, 11096], [5353, 7626], [1353, 5668], [40, 5996], [4553, 5506], [4346, 8411], [234, 2829], [8358, 10379], [5770, 8853], [176, 2070], [2385, 6983], [3428, 4350], [7889, 10840], [6736, 8417], [3028, 6860], [1911, 11264], [4358, 8421], [1971, 11315], [1555, 2769], [2862, 9042], [10427, 10744], [1530, 5156], [5141, 9032], [1116, 9488], [2145, 3739], [2544, 7420], [3925, 5506], [1590, 2174], [740, 10140], [2519, 9053], [10428, 11319], [7837, 10276], [3448, 6106], [3855, 10402], [273, 5012], [7962, 9224], [9271, 11406], [4562, 5568], [3073, 3196], [8300, 8465], [3945, 10295], [6565, 9824], [333, 9200], [2043, 10228], [1817, 9693], [11217, 11371], [5207, 8874], [482, 8919], [2246, 2636], [2528, 5732], [630, 5407], [1406, 5628], [2429, 4972], [2222, 7877], [4044, 9146], [3736, 4829], [3703, 8853], [251, 5761], [6285, 6400], [9275, 11124], [1674, 3349], [5693, 6488], [4488, 10291], [1152, 4176], [713, 7512], [1220, 9006], [207, 2456], [1151, 4705], [767, 7748], [6214, 11071], [5190, 10748], [7735, 9194], [3628, 3956], [4476, 5743], [1138, 2965], [570, 4201], [3155, 4675], [6638, 7053], [4626, 9070], [6076, 10733], [2129, 7662], [1747, 11532], [1192, 9967], [8286, 9832], [6515, 11534], [9239, 11443], [1909, 2411], [3829, 7221], [4570, 7633], [3337, 10142], [7628, 11525], [1988, 3643], [6475, 9102], [1395, 6512], [7248, 8271], [2377, 4357], [1167, 7816], [6552, 9507], [3940, 7587], [4936, 5862], [175, 6250], [15, 1831], [2408, 9305], [6570, 7834], [8949, 10684], [2194, 8033], [4518, 6288], [514, 2683], [2524, 4003], [3365, 4619], [3215, 7304], [5486, 6679], [3404, 3793], [5197, 6576], [441, 7308], [3684, 10226], [3679, 5718], [9966, 10967], [8630, 9591], [3273, 8413], [162, 4860], [6227, 7064], [1557, 6816], [6682, 7644], [2647, 8890], [1231, 7585], [3758, 11087], [4730, 8214], [7311, 8569], [1485, 8633], [1041, 10871], [555, 7945], [7950, 10956], [4440, 8640], [3350, 3533], [349, 6564], [5577, 9025], [4734, 7582], [7017, 8472], [35, 2432], [4212, 8409], [2722, 3183], [6237, 10761], [1913, 7740], [1624, 7637], [5858, 7732], [8880, 8961], [2767, 5585], [155, 5917], [1870, 7289], [5622, 8394], [1520, 3500], [4753, 5730], [519, 1848], [1057, 4907], [5750, 10242], [3604, 9815], [5650, 5874], [2348, 3507], [135, 8274], [4807, 7814], [1716, 5667], [1654, 4789], [8376, 9212], [3594, 8723], [3749, 6382], [447, 6267], [2152, 6951], [2398, 3220], [4338, 9406], [5916, 11069], [9302, 9377], [8494, 10372], [3513, 6290], [2171, 3968], [1302, 1304], [548, 8978], [1429, 10124], [7869, 11451], [7642, 8062], [3237, 10529], [1978, 6956], [4254, 6675], [9393, 9845], [9073, 10429], [5817, 10659], [2252, 9410], [9533, 11353], [5558, 6234], [3681, 3780], [573, 4662], [1285, 8840], [1247, 6104], [8936, 10316], [6386, 9274], [2253, 2815], [2179, 6838], [2215, 6495], [1938, 3743], [243, 1525], [5022, 5850], [1715, 5391], [1711, 7901], [1117, 1500], [4084, 10936], [5013, 11399], [4820, 5342], [3292, 10212], [365, 9220], [5812, 6127], [3035, 8112], [5445, 11029], [4318, 9827], [2642, 5377], [1916, 5273], [4665, 7656], [5780, 6589], [3813, 8379], [3157, 6762], [6988, 9850], [1685, 5525], [2839, 5140], [1347, 3251], [1381, 8497], [7260, 11477], [94, 10046], [479, 9857], [1399, 9076], [998, 1562], [3047, 8472], [7940, 8203], [9127, 9456], [1899, 7147], [5073, 8016], [9556, 9569], [7054, 7063], [5386, 9644], [3858, 8098], [5750, 10860], [3534, 8940], [8055, 9065], [10515, 10591], [8755, 9476], [6482, 7776], [265, 8184], [2314, 10930], [6025, 9752], [1727, 11362], [392, 3041], [2214, 5064], [1071, 3329], [3063, 9705], [6117, 6308], [8479, 11463], [9308, 10564], [7035, 8110], [2245, 3596], [1092, 7589], [4951, 8561], [312, 4216], [1303, 1393], [6911, 9737], [395, 2938], [1277, 3555], [7371, 10661], [3639, 8710], [2724, 5701], [117, 6377], [3971, 7759], [4072, 7811], [4108, 7468], [2117, 11116], [3473, 6728], [665, 1486], [1105, 7420], [5533, 11518], [2823, 9063], [922, 2051], [7515, 10790], [6555, 8762], [3902, 6087], [333, 8826], [4414, 8679], [6986, 10446], [3648, 8422], [361, 7087], [7800, 10370], [4118, 10788], [469, 4176], [8199, 8389], [4804, 5077], [354, 2883], [6785, 7130], [7416, 10380], [2244, 8982], [6721, 9589], [4043, 5137], [4485, 6236], [182, 7502], [6936, 9928], [403, 6158], [272, 9647], [748, 9576], [2042, 4310], [1885, 10742], [3168, 5287], [3096, 3721], [3872, 3942], [2254, 5886], [9387, 11341], [1046, 3756], [540, 11532], [2288, 4716], [853, 9777], [2749, 10029], [3621, 5794], [2793, 9547], [3101, 7448], [1501, 10752], [3533, 3695], [8106, 9672], [7421, 9569], [7822, 9913], [1139, 9582], [3692, 7889], [5232, 6062], [1281, 5501], [2339, 3900], [1933, 3212], [8495, 10386], [6607, 9995], [3990, 8485], [1376, 5738], [6596, 9836], [3392, 10256], [582, 10603], [561, 3310], [4972, 11211], [3723, 9080], [3110, 10543], [4569, 10040], [1049, 6282], [8683, 10033], [7781, 11393], [302, 4547], [3915, 9250], [2599, 5143], [8211, 10977], [806, 2360], [8980, 9273], [7625, 10099], [3128, 4706], [4970, 7351], [9724, 9956], [5894, 7470], [8760, 10438], [6050, 7983], [86, 6585], [2124, 9172], [3834, 6036], [6576, 10658], [5609, 7459], [2123, 8947], [4461, 9544], [6350, 8625], [1405, 6452], [6, 590], [3550, 9660], [2189, 10698], [3710, 4657], [12, 10958], [7605, 8292], [9439, 11076], [5800, 8158], [956, 1903], [1808, 10225], [10865, 11564], [7832, 10176], [554, 1334], [2758, 5149], [7465, 8662], [5808, 10678], [54, 6646], [10518, 11456], [3202, 6294], [7620, 8950], [1011, 8376], [6093, 10258], [10723, 11107], [4491, 10483], [4711, 8537], [9454, 10953], [3969, 5648], [5684, 9272], [7009, 9735], [5297, 5628], [8108, 8889], [6272, 9442], [9, 9505], [6865, 9956], [2875, 3805], [9688, 9844], [2398, 10067], [6066, 8061], [4744, 11279], [6876, 7112], [521, 7586], [2649, 4401], [226, 7638], [3645, 9092], [830, 1925], [7027, 10664], [7113, 9684], [2641, 3759], [397, 9213], [309, 6360], [3664, 10273], [6403, 11214], [6553, 8529], [1047, 3845], [4187, 5884], [4510, 4817], [3815, 10442], [929, 9451], [547, 9157], [2135, 8502], [8637, 11461], [7701, 9073], [3532, 7121], [5865, 7374], [2092, 11057], [48, 2239], [5731, 8313], [103, 1946], [3936, 8867], [4364, 6870], [3860, 9811], [625, 10918], [1814, 6582], [4647, 7158], [2216, 4118], [5546, 11162], [2581, 8188], [2560, 7311], [4635, 9026], [6159, 6666], [7435, 11374], [1924, 6346], [6280, 8124], [640, 11576], [9415, 9819], [2226, 6684], [274, 7254], [678, 11279], [6683, 7016], [478, 10467], [1409, 7593], [889, 5083], [5032, 5814], [507, 2537], [350, 11221], [5835, 8612], [5706, 5758], [8821, 9430], [3802, 11280], [8160, 9721], [2085, 6829], [32, 8845], [1821, 9200], [4247, 5480], [231, 10186], [4457, 7010], [9307, 11575], [4455, 6183], [3648, 4397], [1991, 7167], [222, 6690], [2122, 2897], [5785, 10373], [1926, 2985], [8319, 10882], [5418, 8859], [1330, 7835], [1053, 5837], [4296, 8755], [10012, 10051], [1109, 6146], [3199, 9647], [7834, 10840], [2667, 9786], [363, 1603], [306, 5233], [7341, 10153], [201, 3527], [7052, 10050], [2286, 10094], [338, 10406], [2635, 3832], [2783, 4484], [2101, 3898], [8379, 11313], [2935, 7507], [1691, 5720], [7757, 8526], [3407, 9946], [2060, 11444], [2124, 2569], [3624, 8483], [571, 9072], [4235, 9576], [10362, 10406], [343, 6212], [4331, 10038], [2270, 5023], [4135, 10126], [5446, 8971], [284, 2599], [2811, 6101], [5385, 9449], [2119, 2575], [7215, 10579], [8772, 11365], [773, 8425], [2762, 8868], [3892, 9587], [830, 2543], [7502, 7603], [8398, 8680], [6994, 8890], [1863, 4083], [5030, 7945], [6148, 11313], [3875, 11111], [1767, 7004], [332, 5649], [5564, 11262], [9979, 10237], [2937, 4146], [4993, 8063], [5526, 8526], [2035, 5506], [6835, 11462], [9789, 10113], [5682, 9039], [484, 8672], [4381, 6718], [3714, 7221], [890, 3698], [606, 3939], [1070, 6517], [1352, 5449], [851, 7153], [3373, 10311], [5861, 7469], [7043, 9132], [7175, 10749], [2380, 5891], [6072, 8443], [7629, 8475], [8097, 10795], [850, 1266], [914, 8606], [959, 7625], [1155, 5285], [6540, 6976], [649, 6645], [3805, 6154], [1114, 1497], [1432, 7256], [3882, 8094], [9988, 10299], [931, 2544], [1201, 10541], [4497, 6677], [8206, 11088], [5752, 9754], [5659, 9563], [1607, 1780], [2324, 11220], [4965, 5210], [489, 8211], [6399, 11258], [5339, 11278], [5989, 8916], [4891, 10364], [3210, 7822], [6107, 10103], [319, 825], [9656, 10849], [2115, 3125], [3233, 6493], [6849, 10713], [5882, 10924], [2019, 6046], [4830, 9307], [7287, 7906], [9181, 10741], [5253, 7720], [4638, 6104], [1424, 1672], [4500, 6170], [1012, 6831], [581, 3612], [4287, 8506], [3351, 11036], [1908, 11291], [984, 1750], [5963, 9923], [3690, 7469], [5982, 7721], [1598, 3895], [4803, 6329], [6138, 7480], [6919, 8045], [3068, 11098], [5057, 7377], [3894, 10682], [4675, 11247], [1474, 4768], [1498, 2910], [2843, 5503], [7633, 10771], [10021, 10731], [413, 5317], [3367, 8886], [3109, 3932], [533, 3921], [311, 5040], [772, 6189], [5694, 10822], [2552, 7956], [2583, 8023], [5048, 9893], [2961, 6663], [6724, 7927], [3828, 6248], [1185, 5015], [6183, 10232], [4125, 6242], [737, 4101], [8646, 9777], [3164, 3989], [335, 9948], [5402, 7388], [1355, 6365], [1358, 10046], [4741, 5427], [9041, 9525], [1538, 2285], [292, 6087], [944, 4552], [417, 11451], [8696, 9490], [723, 2109], [356, 11175], [6665, 9575], [2690, 10872], [3045, 8619], [3798, 6382], [7060, 10104], [2051, 6226], [5105, 6239], [1311, 5662], [657, 4872], [259, 10461], [5383, 8435], [1615, 6827], [6971, 7780], [3330, 8199], [4111, 8764], [2454, 4364], [8030, 9787], [561, 8547], [530, 2818], [9456, 11056], [3487, 11566], [2522, 2778], [669, 4882], [6998, 9576], [2793, 7213], [263, 3413], [1449, 5195], [6058, 11583], [4377, 9041], [9470, 11112], [1810, 6140], [824, 2891], [2159, 6294], [2226, 8270], [4435, 6013], [4402, 10037], [5763, 6747], [4923, 8985], [3834, 4857], [3705, 6167], [3343, 11413], [977, 8768], [5612, 9961], [4201, 9754], [2931, 5992], [9596, 9881], [5415, 6414], [1127, 9466], [1860, 5853], [2552, 6346], [7281, 11338], [7341, 11389], [2514, 6993], [1048, 6325], [4157, 6799], [6896, 7740], [8195, 9988], [2689, 5304], [175, 6925], [354, 8388], [297, 1438], [9166, 9896], [4956, 7189], [1407, 10580], [1001, 9892], [3060, 4658], [3578, 6341], [905, 6397], [5079, 6441], [2118, 6619], [5385, 10685], [3086, 9262], [5815, 9515], [2866, 4792], [1959, 8060], [3831, 7164], [6107, 6883], [656, 9076], [9864, 10584], [277, 10211], [1092, 9606], [1667, 5407], [1985, 3996], [4629, 8083], [7707, 9244], [3939, 7636], [28, 58], [9919, 11422], [2166, 5505], [149, 7932], [3698, 7924], [1102, 2373], [5466, 8930], [3379, 5700], [643, 7686], [9442, 10487], [6672, 7981], [4096, 7970], [1911, 8369], [264, 8821], [7609, 9059], [97, 3985], [5549, 7652], [3713, 8205], [3028, 7348], [813, 9036], [1181, 7742], [998, 8035], [3153, 9679], [7535, 10426], [1304, 6994], [2334, 9761], [2458, 5855], [2795, 8658], [3796, 7277], [3949, 7519], [1573, 4186], [4188, 9787], [487, 10155], [1982, 9309], [542, 3446], [10512, 11131], [916, 3098], [6700, 9224], [6576, 6714], [230, 11438], [1409, 6414], [2654, 11055], [7879, 9081], [6485, 10733], [2282, 2781], [4307, 5133], [2332, 2898], [1870, 10192], [4399, 8105], [183, 7835], [3871, 11369], [2206, 7108], [26, 7851], [4272, 6051], [1583, 3719], [7961, 8332], [1992, 8842], [2701, 7087], [7468, 8399], [2891, 11348], [6003, 10585], [7811, 8738], [3387, 7765], [4352, 10137], [2704, 8489], [1888, 11121], [5589, 9255], [1394, 8334], [6766, 9820], [401, 9576], [3570, 3685], [4967, 6468], [139, 5634], [1174, 3083], [7022, 10914], [6296, 10056], [7729, 8332], [5714, 10832], [2469, 11251], [3959, 5897], [3248, 10989], [3398, 8304], [9277, 11284], [6913, 9466], [1498, 10562], [1751, 8756], [4495, 10795], [1818, 4316], [5675, 10877], [474, 4577], [4801, 7869], [1028, 5917], [8215, 8225], [1525, 6723], [8474, 10371], [346, 5331], [1553, 7990], [4075, 10394], [4176, 11200], [2058, 6405], [1896, 7575], [4344, 6088], [6470, 9246], [5811, 9610], [6346, 6736], [1934, 7278], [1886, 3854], [9363, 9873], [738, 2529], [736, 5866], [2190, 5019], [9328, 10818], [1924, 9973], [3848, 5857], [8571, 9149], [2778, 5189], [16, 2544], [3849, 8711], [4805, 7587], [4247, 8757], [6924, 8820], [3130, 5991], [7457, 9283], [9912, 11219], [3276, 5816], [633, 4583], [4086, 4867], [2274, 9978], [1467, 8192], [5730, 9779], [6358, 7096], [2812, 4369], [5167, 8353], [1161, 10337], [3458, 4517], [4397, 5668], [5569, 5889], [1809, 9060], [3664, 8557], [1499, 3916], [6602, 6675], [7058, 7480], [6877, 8600], [3197, 3429], [5445, 7516], [4287, 11165], [7062, 8353], [1584, 3465], [112, 10896], [3254, 7346], [3200, 10493], [8705, 10788], [732, 7571], [6580, 11238], [4438, 8301], [8135, 11197], [3283, 5051], [5303, 7059], [5216, 7814], [1966, 7889], [9230, 10609], [6334, 11182], [4281, 6782], [3899, 10652], [4742, 5679], [1228, 7371], [1216, 10020], [1159, 9486], [4672, 6788], [431, 9686], [6804, 9791], [2743, 4898], [2512, 2521], [3659, 10791], [1919, 4636], [2084, 2983], [4288, 6798], [3066, 6490], [9981, 10527], [5360, 6788], [7512, 11167], [5707, 10279], [1068, 5934], [1314, 2957], [3373, 4139], [451, 9907], [2404, 10693], [1212, 2680], [3622, 4843], [3682, 5648], [1059, 11483], [6919, 10249], [2735, 3101], [7129, 7615], [3917, 4010], [4856, 5161], [4044, 9447], [2328, 8604], [4296, 10422], [5843, 9766], [2579, 5971], [6720, 10039], [875, 5889], [302, 6027], [2898, 8168], [9178, 11492], [489, 1689], [6225, 9279], [2025, 8014], [6099, 10860], [1828, 10883], [574, 1238], [1943, 1973], [9517, 11308], [7260, 9387], [572, 3794], [6327, 11434], [4123, 5367], [1036, 8624], [7445, 8386], [1695, 1844], [5084, 10249], [8446, 11169], [3580, 6845], [6011, 10639], [4527, 8611], [4820, 5480], [8930, 10235], [1960, 5710], [2949, 6978], [9805, 10435], [6138, 8879], [2210, 10022], [3235, 6783], [5346, 8155], [3259, 4925], [647, 5257], [2675, 11290], [5730, 10747], [1608, 4477], [1238, 9862], [398, 5684], [8737, 10944], [3790, 7944], [4719, 10659], [2565, 10371], [4039, 8648], [455, 5437], [6463, 11271], [174, 2943], [3653, 4448], [7054, 8706], [1297, 7409], [1388, 6773], [2131, 11018], [5921, 9941], [1700, 7799], [3159, 11460], [7, 7906], [9626, 10446], [2289, 10823], [3466, 4972], [135, 4119], [720, 7024], [3395, 6260], [5136, 8853], [6282, 7853], [1989, 10561], [5354, 10244], [2530, 10885], [5830, 10173], [1866, 5243], [682, 7671], [343, 4041], [5291, 9895], [589, 1064], [10019, 11279], [1547, 6429], [2483, 3899], [215, 8959], [10912, 11304], [1602, 9519], [1425, 2467], [3286, 11578], [4069, 6554], [2890, 11578], [5153, 6928], [6025, 6857], [397, 1244], [1820, 4494], [2007, 4320], [2067, 11541], [6075, 9603], [5490, 6698], [5483, 5527], [8605, 10370], [7017, 8773], [1212, 3298], [6103, 8618], [2612, 5598], [160, 8097], [1689, 6081], [2673, 2841], [1496, 6440], [4552, 8751], [3415, 6861], [772, 5628], [3418, 10542], [7160, 10929], [7726, 9620], [2638, 7169], [8647, 9441], [6000, 10718], [8240, 8528], [4994, 10974], [1701, 6441], [603, 4479], [8582, 10894], [358, 3894], [2132, 2463], [3054, 8171], [6672, 6802], [37, 11423], [1508, 6019], [4118, 11276], [5171, 7079], [2130, 11435], [379, 1738], [4372, 5908], [415, 1395], [1557, 5157], [2057, 9644], [2406, 4136], [9190, 9437], [3018, 8864], [4766, 6212], [1893, 2073], [2173, 4342], [7159, 7270], [1156, 1780], [2334, 5199], [6661, 8491], [5868, 10575], [3423, 3665], [672, 1209], [8833, 11270], [1977, 4403], [5655, 9501], [648, 10614], [1350, 7688], [2160, 6739], [2294, 2767], [51, 8823], [5997, 9615], [1637, 10347], [3841, 8500], [2693, 6421], [2872, 8638], [64, 2642], [1880, 11236], [1309, 1621], [2991, 7017], [3271, 9286], [7316, 9482], [6103, 7008], [807, 3854], [279, 7118], [5974, 7537], [3176, 9399], [4172, 6920], [7307, 8615], [5383, 7069], [1393, 6580], [3917, 6401], [2862, 4513], [2509, 9121], [5059, 7911], [2729, 4923], [1760, 11477], [3931, 7238], [892, 6005], [1944, 4589], [9512, 9972], [350, 4675], [6946, 10679], [5022, 8379], [3623, 9687], [4898, 6623], [7785, 8216], [228, 6375], [1305, 9742], [255, 4788], [6375, 10863], [3140, 5554], [5915, 6152], [6099, 8713], [4762, 10145], [1529, 2253], [10075, 11024], [2422, 3059], [6100, 11567], [10181, 11420], [1429, 2049], [935, 1514], [7461, 8277], [2112, 8495], [929, 945], [397, 4090], [5562, 7727], [801, 8115], [1957, 7803], [2728, 7680], [462, 2233], [8889, 9592], [523, 10056], [6808, 7308], [72, 11123], [3812, 10683], [6861, 6942], [10221, 10445], [264, 4877], [1131, 6714], [4940, 9077], [4966, 8046], [3997, 10436], [1858, 10426], [7388, 9088], [4983, 5017], [693, 7242], [7800, 11476], [6983, 9002], [2685, 7202], [3373, 10986], [4545, 11207], [3053, 5154], [3746, 10036], [563, 11333], [3648, 6495], [2521, 5293], [406, 10595], [3403, 6664], [10865, 10897], [3561, 7250], [2591, 4534], [4328, 9637], [2143, 10036], [2683, 7506], [9625, 9983], [4943, 8220], [7744, 10793], [1866, 10667], [4946, 5485], [2764, 5401], [3077, 3646], [6184, 9709], [5463, 6943], [8618, 10768], [3693, 9247], [4071, 8641], [1289, 10282], [678, 6156], [8145, 11487], [1082, 6771], [4285, 6126], [5615, 7687], [8254, 11430], [1881, 4909], [2473, 2569], [8780, 10722], [5674, 8267], [3181, 3595], [3277, 10473], [1599, 5196], [6566, 8848], [5989, 6558], [9709, 10404], [1808, 2337], [867, 4523], [5168, 6594], [1899, 2455], [5665, 7400], [5844, 8863], [11169, 11257], [336, 8270], [5005, 8293], [3169, 8846], [2649, 10500], [615, 11068], [2081, 5320], [8772, 10430], [704, 3189], [1292, 9775], [302, 9036], [8633, 10271], [295, 2203], [3218, 5705], [2137, 11264], [4033, 11516], [671, 10596], [2080, 10730], [570, 4128], [1223, 4693], [4311, 10706], [2468, 10088], [9221, 9660], [2, 7993], [7388, 7478], [5117, 5851], [1869, 2589], [5550, 11368], [5142, 7601], [1219, 4924], [1430, 9308], [5380, 9644], [212, 11371], [1029, 5177], [839, 11469], [5290, 10101], [1649, 4104], [9665, 10431], [3969, 9787], [4626, 7842], [4154, 8786], [2877, 11023], [570, 3323], [2500, 8067], [1502, 9719], [3584, 6189], [139, 10684], [2966, 7308], [4592, 5979], [1503, 6911], [1191, 2852], [4174, 6405], [932, 4089], [3901, 10942], [8810, 11206], [5348, 6672], [2330, 6316], [9361, 11494], [7535, 10483], [1052, 1912], [3323, 7703], [1528, 1841], [10478, 11227], [519, 2580], [3285, 8350], [8023, 10422], [6521, 10097], [9640, 11259], [5430, 9306], [3437, 11373], [887, 10331], [78, 8472], [2041, 3530], [4096, 7222], [6880, 7936], [1133, 4321], [6286, 7197], [3620, 4260], [7035, 8224], [3678, 8402], [1971, 4639], [1484, 4551], [3357, 8761], [5795, 7310], [895, 4156], [5170, 7258], [528, 9058], [6094, 7377], [3236, 4270], [2418, 10993], [6807, 8747], [4047, 6929], [3906, 6724], [7842, 10360], [1082, 3201], [2642, 6914], [5462, 9537], [5658, 7197], [1852, 2853], [3378, 3572], [5676, 11186], [3279, 6976], [1699, 5240], [6339, 6777], [790, 9593], [5950, 9476], [358, 3520], [1497, 7765], [2042, 5579], [447, 9227], [573, 5394], [4901, 11540], [3468, 6848], [3595, 8875], [2370, 11302], [8722, 9776], [4305, 4312], [1650, 7980], [2560, 4229], [2954, 7566], [8807, 11577], [2057, 2854], [6152, 6577], [2428, 5241], [4324, 5493], [7126, 10920], [7618, 10628], [6090, 9082], [2609, 6750], [6742, 6793], [4844, 6468], [7619, 7820], [2628, 5302], [1583, 6354], [1335, 7006], [3236, 6848], [7871, 8041], [636, 1555], [2005, 4542], [4995, 10020], [766, 847], [2658, 3609], [7396, 8687], [3501, 5052], [5678, 10427], [480, 10814], [3276, 5873], [7598, 8821], [3243, 9897], [67, 1785], [662, 9542], [5087, 9959], [6476, 7963], [8558, 10849], [4232, 11165], [2716, 4718], [3865, 9651], [4522, 7706], [2306, 6540], [6070, 10658], [4335, 4847], [5405, 11207], [2239, 3783], [4035, 11001], [10017, 10696], [3570, 8198], [712, 10009], [862, 6570], [2200, 7992], [6276, 7501], [5443, 10910], [796, 1786], [2511, 3158], [84, 2489], [5815, 9735], [4843, 6192], [7735, 8129], [4094, 7794], [6772, 11465], [1481, 2239], [1293, 9358], [1107, 5970], [1043, 2013], [1160, 3352], [3981, 6577], [4951, 9293], [9865, 9901], [3027, 7747], [3335, 5648], [4202, 5233], [349, 7459], [2955, 9564], [8619, 10670], [1210, 9481], [28, 8572], [5002, 9231], [3699, 10247], [989, 7792], [1711, 10406], [5495, 6131], [2164, 5278], [174, 4610], [4649, 8554], [1445, 4810], [6310, 8909], [4428, 6111], [8008, 8422], [1413, 10190], [2319, 8949], [4404, 11352], [2532, 9996], [1157, 10944], [5239, 5737], [6357, 9105], [4604, 4997], [6904, 9274], [1962, 6618], [10031, 10297], [1769, 6977], [9148, 9455], [2649, 10931], [3513, 6835], [7681, 9316], [11170, 11509], [1322, 2501], [950, 7059], [1175, 9621], [392, 8229], [6837, 8402], [5438, 8956], [180, 4374], [10635, 11350], [2359, 10576], [269, 1413], [1690, 3836], [8854, 9358], [166, 3163], [1281, 2850], [160, 9764], [597, 5601], [2553, 3652], [5455, 6277], [4214, 10423], [1181, 2619], [7815, 10605], [2906, 4679], [222, 1193], [4232, 8750], [1744, 4422], [2210, 10079], [9367, 10266], [5444, 10999], [5697, 9193], [4570, 7991], [3608, 11552], [8501, 11283], [7601, 9306], [6939, 10907], [8155, 10646], [2665, 10659], [6127, 8777], [8743, 10816], [395, 2060], [5131, 9721], [6280, 8238], [821, 4154], [1354, 4617], [4025, 6363], [3844, 8237], [2354, 3011], [1970, 6054], [4404, 6359], [2752, 3057], [4305, 6353], [38, 3112], [3281, 6030], [5917, 6092], [876, 4211], [8993, 10590], [3339, 10172], [9084, 9954], [2805, 9484], [1155, 7009], [4950, 10440], [6631, 8818], [8408, 11068], [1187, 2760], [3637, 6604], [9122, 9657], [7315, 8696], [6384, 11570], [1333, 2585], [3512, 4623], [683, 4166], [449, 7907], [3912, 8879], [6620, 8255], [2786, 4115], [4800, 6308], [2217, 11542], [3805, 6723], [2936, 4813], [2492, 7051], [5539, 6647], [3433, 8248], [100, 152], [3584, 6165], [1898, 3279], [3668, 11528], [492, 3416], [4736, 11369], [4385, 9634], [3664, 7622], [7619, 9056], [3130, 6934], [3694, 9716], [1915, 3633], [9149, 10648], [4094, 9835], [6716, 10191], [8235, 10493], [8667, 10150], [5151, 9517], [20, 3956], [1544, 8766], [388, 2662], [7640, 10283], [763, 1785], [14, 10557], [4647, 10923], [2582, 9172], [8215, 8713], [4362, 5277], [2028, 11215], [2460, 7462], [5939, 5961], [8810, 10027], [6785, 7675], [5575, 11134], [1112, 1565], [7094, 8430], [5406, 8881], [2329, 4912], [2110, 10466], [2068, 10240], [777, 8607], [3043, 7638], [3905, 9131], [1164, 4357], [6091, 10088], [74, 6420], [1352, 7791], [860, 913], [6073, 8004], [942, 9613], [2652, 6477], [3275, 3450], [1498, 10245], [3, 4675], [3249, 7864], [1592, 7628], [1647, 7335], [933, 2330], [8193, 9812], [4769, 8014], [8458, 11049], [7878, 8488], [154, 1811], [3972, 6165], [1365, 4589], [2170, 3296], [3747, 11150], [729, 10794], [2346, 10877], [5902, 6378], [6953, 10776], [4157, 6295], [1788, 4133], [5173, 5222], [2189, 7860], [358, 8757], [281, 6847], [2774, 4349], [3147, 3399], [9662, 9973], [1068, 4194], [7852, 9495], [5352, 10822], [7315, 11542], [1086, 4019], [2773, 10513], [3950, 11078], [2295, 7505], [5789, 7790], [1215, 10256], [560, 11493], [2017, 8665], [8046, 8206], [1984, 6273], [1387, 8269], [1728, 2146], [3510, 11156], [3346, 10001], [1259, 6771], [1753, 3142], [1637, 5411], [3989, 9878], [4054, 11027], [4682, 8344], [4738, 10905], [3248, 5679], [1128, 6473], [6821, 10983], [9446, 10856], [4245, 4556], [2896, 5227], [2056, 7465], [7124, 7759], [1933, 2147], [1807, 10144], [597, 7187], [6937, 11316], [8742, 9198], [58, 6155], [3738, 5664], [3889, 9997], [308, 10467], [144, 9312], [7308, 9916], [1336, 4493], [6243, 10346], [1379, 6849], [2294, 3442], [4744, 7286], [1416, 5950], [2037, 8512], [1286, 10041], [2062, 10262], [5618, 11425], [2435, 8558], [5856, 7052], [6470, 9197], [4176, 8118], [1588, 10756], [3465, 6794], [1027, 8999], [3737, 5038], [4487, 9700], [2083, 4319], [4018, 10161], [3612, 9473], [4908, 5034], [650, 3010], [1202, 3523], [8020, 8408], [10105, 10811], [5776, 7446], [6746, 7910], [84, 3538], [9607, 10534], [2816, 8226], [1331, 3344], [3282, 3303], [1910, 5680], [2997, 9735], [1822, 3581], [440, 8276], [5388, 7714], [2616, 3627], [513, 618], [6294, 6473], [2402, 9525], [5022, 9054], [1696, 4381], [4982, 5491], [2611, 6666], [8337, 9404], [3115, 4479], [4541, 5748], [3773, 10306], [1718, 9243], [4447, 5332], [6656, 10245], [10171, 11407], [376, 505], [2330, 4145], [1304, 7913], [2585, 8047], [7082, 9306], [5320, 5836], [3505, 5014], [4685, 5096], [5149, 9926], [4120, 9259], [390, 4725], [5577, 6431], [8608, 11156], [3658, 4475], [2417, 6369], [8814, 11032], [7174, 9245], [1787, 5973], [1531, 1846], [1351, 6574], [6351, 8454], [6669, 7797], [4521, 10707], [1058, 3319], [438, 10027], [780, 6758], [7339, 10251], [5105, 6971], [1617, 8386], [7528, 9369], [3918, 9101], [1046, 8570], [3229, 11508], [7362, 7387], [2729, 10404], [9263, 11366], [6183, 7126], [1312, 3212], [6831, 8101], [606, 4484], [1853, 3536], [1727, 11533], [7789, 7804], [1161, 2262], [842, 9864], [7411, 7629], [3020, 6796], [1564, 6816], [1464, 9618], [6008, 11447], [4674, 10144], [8065, 9550], [4538, 6873], [8058, 8379], [6824, 7280], [5165, 6971], [55, 6451], [2429, 2541], [927, 2216], [2984, 7489], [1585, 8043], [10100, 11085], [3639, 8881], [2641, 10533], [0, 5963], [1855, 3208], [10633, 11548], [8262, 8559], [2787, 10358], [3322, 7484], [9110, 10346], [1948, 9034], [1129, 6487], [3346, 9009], [734, 9341], [923, 5830], [3520, 9347], [590, 8838], [3088, 7438], [8592, 11295], [8686, 10176], [2771, 5287], [935, 5840], [1277, 2571], [4205, 6417], [1526, 9691], [4102, 9702], [998, 3156], [4606, 7515], [3614, 3697], [6162, 8076], [155, 11512], [5170, 6510], [5310, 5766], [1760, 2516], [5020, 11073], [6271, 8369], [6584, 6614], [5765, 9729], [2780, 5349], [1661, 1756], [1721, 2561], [8011, 10737], [9972, 11384], [753, 9717], [5163, 8348], [1040, 8993], [1618, 8475], [10341, 10692], [4517, 7419], [6476, 11403], [4637, 6023], [5946, 8205], [5077, 5541], [4788, 5438], [1179, 8778], [5227, 6239], [2457, 2979], [1201, 6093], [2923, 4472], [5039, 6188], [6441, 9315], [2878, 11145], [8275, 8689], [92, 3942], [646, 5282], [4536, 5567], [3823, 9832], [7646, 11147], [2696, 8630], [1325, 4816], [2159, 4261], [4562, 10171], [577, 4364], [3570, 8605], [2655, 5596], [5337, 6003], [288, 9896], [7008, 7076], [2534, 10904], [4170, 9539], [5104, 10346], [7155, 7503], [2965, 6926], [2979, 4380], [4108, 4874], [1921, 4446], [515, 7993], [425, 11483], [206, 10621], [3227, 10494], [618, 2429], [448, 3738], [2908, 6018], [2345, 6844], [8950, 10682], [1018, 3302], [4270, 5582], [223, 4559], [3655, 10382], [4873, 6784], [4641, 7215], [4395, 4530], [6079, 6589], [798, 10883], [3159, 6768], [5886, 6194], [1538, 2025], [8104, 11570], [9095, 9501], [3388, 4561], [2149, 3118], [6127, 6256], [2362, 10581], [3900, 7153], [5535, 8596], [2811, 8687], [6340, 7303], [4720, 6168], [8620, 9393], [1836, 1840], [2039, 2199], [1799, 9128], [5940, 6780], [7369, 7566], [1366, 2830], [3852, 9741], [6467, 8926], [261, 9523], [2475, 8364], [3008, 8827], [1852, 2723], [1511, 8846], [1826, 7918], [2326, 8241], [2963, 4920], [5301, 5517], [5457, 6030], [1728, 10766], [570, 1583], [6509, 11030], [4336, 6528], [1681, 10196], [9034, 11453], [6611, 8274], [689, 2214], [6939, 7581], [4131, 8001], [1863, 2481], [2339, 8072], [6286, 9645], [92, 1177], [904, 1055], [1370, 1794], [9176, 10755], [5848, 9419], [4188, 11137], [1144, 9560], [4119, 6836], [1598, 7286], [3254, 11461], [5523, 10009], [3780, 10753], [2880, 8776], [10122, 11545], [1758, 7918], [1844, 6938], [1909, 8087], [6427, 7941], [2747, 2770], [9288, 10565], [2408, 3304], [2411, 6985], [3772, 10111], [3560, 5502], [2464, 5865], [1008, 10803], [9433, 10919], [6654, 9825], [351, 11213], [2839, 9125], [2144, 7580], [3476, 5804], [7402, 7998], [2369, 10142], [716, 3232], [870, 7082], [6212, 6447], [1919, 1985], [4721, 7412], [10949, 11300], [2728, 7981], [9295, 10581], [4436, 8182], [647, 7949], [3570, 11451], [5929, 6509], [1018, 3920], [3060, 3243], [515, 2545], [7108, 7120], [8143, 8733], [1875, 2036], [5892, 10764], [658, 8488], [5707, 7978], [475, 3119], [2586, 4491], [939, 7195], [6624, 7680], [5225, 8234], [4242, 10918], [2432, 4024], [4295, 7546], [255, 4284], [6636, 8414], [3236, 11174], [929, 3474], [4910, 6129], [3264, 3773], [2259, 10670], [275, 8319], [557, 11415], [7995, 11090], [5445, 6638], [708, 11584], [173, 1626], [1260, 5681], [2535, 2617], [7992, 10792], [9451, 10289], [1758, 9341], [8700, 9566], [2848, 4245], [3161, 9660], [907, 11420], [1998, 6549], [9251, 10608], [7609, 7994], [5424, 7639], [4137, 9188], [2241, 2520], [658, 1267], [9162, 10536], [2372, 11082], [7995, 9935], [4796, 11453], [1716, 9465], [2487, 9342], [4754, 11227], [1619, 3870], [6966, 9241], [2823, 8510], [9077, 10613], [1303, 10989], [4156, 7336], [3225, 3794], [5659, 6351], [772, 8320], [9698, 10142], [6453, 10561], [6218, 11418], [392, 11482], [517, 10430], [2651, 2926], [2224, 7777], [4402, 6207], [2103, 9702], [5680, 7578], [3204, 4795], [8162, 11337], [3800, 4826], [3643, 11258], [8868, 9284], [9184, 11210], [970, 4898], [2559, 10103], [8557, 11085], [2492, 8881], [5412, 8702], [985, 1796], [1766, 2361], [145, 4034], [5315, 8769], [2354, 8947], [769, 6867], [10457, 11456], [620, 10908], [8340, 9515], [6829, 9104], [1362, 10764], [1574, 2541], [549, 9163], [1106, 10020], [1628, 5406], [2003, 5283], [5630, 6686], [2969, 10509], [3308, 10729], [8444, 9464], [4058, 8975], [5598, 7148], [467, 8757], [3635, 6428], [3328, 11381], [3615, 8405], [1588, 9390], [1359, 10092], [7377, 10198], [9835, 10897], [1890, 3312], [5728, 9823], [589, 991], [9864, 10137], [2732, 10946], [2732, 4530], [7059, 7822], [2515, 6747], [1288, 8347], [2263, 11407], [895, 5612], [3164, 10576], [6709, 7416], [6671, 10342], [6571, 6728], [4683, 11255], [1655, 10211], [3333, 7537], [2371, 8846], [6164, 11450], [4165, 8067], [689, 6833], [4231, 9818], [62, 3702], [120, 1428], [1152, 5022], [2257, 4021], [1572, 3918], [3445, 8128], [931, 9749], [23, 1495], [3424, 8005], [1679, 7922], [5194, 9084], [1163, 2178], [6348, 7945], [1049, 5274], [2790, 10119], [2912, 8796], [6145, 6862], [8519, 10122], [1427, 3914], [8954, 9296], [5176, 7000], [298, 6803], [3092, 7451], [1225, 6439], [2505, 4473], [5402, 6754], [6828, 10275], [4500, 8114], [1599, 8343], [5771, 7560], [1626, 10166], [3463, 6805], [2186, 9042], [7819, 8583], [56, 2732], [2774, 2796], [437, 11469], [2402, 7354], [6970, 9577], [866, 1783], [2985, 9432], [1058, 8369], [9399, 9538], [8401, 11190], [5412, 9320], [2153, 10033], [3669, 10064], [10241, 11510], [3047, 7277], [626, 4925], [5314, 9916], [4978, 9967], [10735, 11264], [7113, 9481], [3107, 11465], [2608, 7580], [237, 4591], [7246, 8290], [2630, 4895], [2719, 10602], [2416, 10793], [3464, 8504], [4458, 10116], [81, 1045], [831, 2297], [4473, 11148], [4781, 9803], [1825, 3155], [2965, 4592], [2567, 7929], [6113, 10656], [5082, 9916], [4115, 10127], [3554, 7616], [3617, 5686], [1273, 4520], [8127, 11314], [2730, 8108], [1, 4849], [4455, 10168], [56, 5310], [703, 2677], [155, 10951], [7244, 10472], [556, 5633], [1767, 11444], [561, 10141], [900, 3191], [3106, 3669], [4530, 11281], [4910, 10748], [1737, 6317], [6491, 8922], [6301, 8798], [2292, 4849], [3761, 9198], [3873, 9439], [3940, 10661], [1911, 11573], [7239, 10478], [9880, 10884], [2631, 7698], [5616, 5662], [6982, 9132], [4150, 4994], [1481, 8956], [6261, 6366], [1131, 10829], [6539, 8562], [422, 6168], [5921, 9681], [10996, 11146], [6974, 11119], [4755, 6272], [811, 6128], [7430, 9672], [4021, 9660], [1826, 2201], [5602, 7834], [2541, 10814], [627, 9956], [8624, 11315], [6959, 7054], [744, 1873], [3515, 7987], [2850, 8536], [5811, 8358], [1136, 10772], [1914, 4650], [666, 5373], [5748, 8009], [1383, 1981], [734, 3787], [4655, 5637], [3404, 9095], [6864, 10550], [7757, 11356], [6396, 8230], [6110, 8398], [7, 9874], [1975, 5276], [5881, 6094], [137, 9166], [5142, 9138], [3142, 8536], [2243, 9413], [6040, 7255], [2994, 4851], [5733, 5792], [5752, 10006], [3888, 8511], [3659, 6961], [4603, 8456], [7065, 7399], [1265, 8684], [4687, 7403], [2068, 10728], [3472, 4102], [3229, 10760], [2730, 3465], [610, 10675], [5306, 6105], [2971, 9189], [4523, 5467], [1515, 9963], [980, 6421], [1441, 6816], [1343, 4029], [3378, 7069], [5608, 6443], [658, 10342], [690, 6093], [7083, 7574], [6070, 8194], [2183, 5174], [151, 5815], [2654, 4005], [1864, 6360], [7980, 9253], [3708, 5668], [7094, 11146], [1650, 8094], [2243, 8608], [8714, 9248], [1307, 4722], [2494, 10139], [5104, 8980], [7802, 9920], [6902, 7943], [3390, 4046], [3018, 8604], [371, 10635], [4163, 10385], [1047, 6488], [2348, 2393], [3471, 6105], [1729, 6293], [9662, 10111], [8201, 9787], [1578, 9507], [663, 6498], [232, 7443], [7611, 9921], [4082, 10581], [4216, 7363], [161, 2315], [2206, 5319], [3711, 5915], [3862, 6084], [3681, 7204], [3077, 8029], [4269, 7374], [10841, 11072], [5294, 10551], [8928, 8961], [2856, 6340], [6655, 7261], [4385, 10740], [8776, 9321], [374, 3712], [4010, 6332], [800, 2773], [703, 9256], [7487, 10393], [142, 329], [3503, 7440], [2524, 6890], [7733, 10799], [7038, 9254], [2177, 6028], [1786, 6372], [11490, 11494], [2275, 2399], [1068, 3877], [5173, 8288], [4015, 5521], [7287, 9931], [3916, 4761], [318, 1844], [6997, 9603], [2078, 2235], [2976, 3385], [1389, 11058], [3199, 5874], [6499, 9326], [4134, 9535], [118, 8579], [666, 5186], [2445, 4099], [3619, 4366], [2776, 2923], [8577, 10908], [4362, 8611], [10910, 11161], [793, 10596], [160, 10683], [1255, 5931], [743, 3312], [772, 8214], [1931, 11583], [2948, 4319], [2106, 9894], [7307, 9778], [1113, 5474], [10863, 10941], [2267, 10751], [10132, 10493], [4765, 9351], [3201, 11558], [5095, 10983], [8018, 8069], [2235, 9715], [7579, 11405], [6097, 10204], [3498, 8519], [5394, 8017], [8323, 9055], [3455, 8822], [3238, 3869], [4829, 9901], [3213, 5502], [2215, 7154], [284, 10853], [1034, 9853], [5576, 7849], [5719, 10409], [435, 8770], [3673, 7180], [1667, 2626], [1960, 2848], [2242, 2534], [2861, 10685], [8981, 10344], [3542, 11046], [10165, 11299], [2968, 7549], [7492, 11355], [426, 706], [1606, 4952], [3686, 7011], [4178, 7473], [5590, 11288], [4054, 5717], [1512, 10952], [3472, 6493], [3255, 7956], [5891, 8018], [2312, 9315], [9807, 10278], [1536, 2678], [5273, 9137], [6732, 8634], [1968, 3089], [1752, 8160], [2521, 6456], [1072, 8401], [688, 10690], [147, 7333], [2110, 8807], [2048, 7929], [8997, 11577], [4111, 6601], [1187, 9290], [1982, 3145], [268, 8791], [8242, 9200], [2103, 11019], [6741, 9477], [3666, 8587], [8024, 11192], [5242, 6417], [4777, 10784], [5966, 6448], [675, 3638], [4095, 7946], [7111, 7475], [6113, 9127], [8518, 10946], [3995, 4332], [3248, 9013], [5128, 8732], [2124, 5830], [3130, 8203], [7607, 8810], [1757, 10732], [7266, 8517], [3159, 7443], [2746, 11246], [4339, 7525], [9843, 11382], [4795, 5324], [2597, 4707], [2815, 6098], [7693, 11213], [9100, 10520], [6452, 8943], [8191, 8457], [1902, 7299], [1081, 3171], [1394, 2170], [9544, 10187], [143, 2622], [3632, 4815], [7778, 9981], [8215, 9982], [1419, 3166], [6028, 9554], [1955, 9562], [85, 2617], [6645, 8210], [430, 6035], [6808, 9894], [6185, 6505], [6123, 9791], [2001, 3521], [11071, 11481], [5524, 10960], [3003, 11410], [786, 10019], [628, 2263], [5020, 5950], [7143, 9591], [8918, 11014], [5396, 8681], [4248, 10766], [4000, 7254], [4709, 5499], [1501, 9183], [7815, 11337], [1175, 9198], [3668, 7454], [3138, 4256], [4550, 8071], [8003, 8355], [2430, 2449], [4202, 10771], [6406, 11176], [6812, 9612], [300, 2555], [7469, 7667], [5325, 10319], [3733, 4816], [1983, 4389], [8765, 9617], [10597, 11574], [332, 8105], [5595, 8867], [7269, 10238], [1364, 6037], [2702, 7459], [4372, 4924], [3777, 11130], [38, 10260], [1067, 1505], [5514, 9817], [6068, 6993], [3770, 6926], [3636, 3728], [5351, 11516], [5320, 5787], [10703, 11569], [710, 6344], [717, 1099], [274, 529], [7056, 11419], [2954, 10689], [583, 7700], [8520, 9008], [1980, 6319], [2202, 9364], [4812, 8205], [667, 6647], [1300, 4308], [2594, 5458], [5028, 8769], [5224, 6429], [1823, 9718], [486, 4734], [4023, 9627], [5797, 8196], [296, 4610], [5208, 10807], [731, 4538], [4019, 6475], [4677, 8138], [1621, 8456], [506, 3107], [1223, 7629], [965, 9091], [4492, 5352], [1940, 10653], [3115, 10391], [4445, 5536], [10604, 10785], [158, 11442], [2455, 11284], [9466, 10148], [5347, 6805], [173, 5334], [1401, 6588], [3476, 9057], [4792, 5994], [704, 4970], [919, 2680], [2204, 4468], [3236, 8816], [829, 3918], [4027, 9345], [1764, 8333], [2918, 7194], [6678, 7406], [986, 10668], [6979, 9054], [1782, 5125], [7671, 9547], [4798, 5408], [3932, 6425], [100, 9528], [1554, 2265], [1810, 4140], [7847, 10712], [6913, 7653], [6500, 11456], [218, 5053], [4118, 9032], [396, 9297], [3954, 7123], [2773, 9822], [5318, 7514], [1679, 4596], [4253, 7944], [10085, 11078], [613, 11217], [5718, 8387], [3047, 5106], [2388, 6224], [1388, 11213], [2322, 7856], [4867, 6302], [853, 1255], [1479, 4161], [5706, 10255], [5155, 6180], [2004, 6234], [6392, 10933], [8200, 8332], [2371, 4715], [4588, 7237], [3583, 7718], [95, 1963], [1528, 6655], [4986, 7283], [9836, 10350], [6842, 8136], [1578, 9401], [5377, 10322], [3424, 10290], [1452, 4566], [1176, 2416], [9355, 10427], [237, 11064], [6770, 8418], [5748, 9676], [729, 11526], [1921, 6707], [2196, 2216], [9229, 10473], [74, 6347], [1657, 8354], [3706, 8848], [9010, 9611], [3740, 7678], [3252, 8089], [1124, 4858], [159, 11531], [5799, 5827], [4412, 10178], [3357, 10542], [6311, 6941], [4728, 5688], [773, 9889], [5444, 10739], [3163, 4260], [81, 6363], [1894, 11276], [994, 2883], [794, 7733], [3385, 6524], [953, 3259], [886, 2037], [6980, 9143], [397, 1846], [1534, 9428], [388, 4012], [5300, 10209], [202, 4788], [8359, 10566], [3841, 4296], [3065, 4075], [3937, 4004], [1908, 11332], [5017, 11052], [537, 1102], [1352, 6913], [3220, 4363], [1850, 10573], [166, 2098], [1910, 8372], [3431, 9501], [3488, 3619], [561, 9043], [444, 1288], [1474, 11225], [999, 6236], [2169, 5630], [1057, 5460], [723, 6338], [3236, 5246], [1180, 1329], [1649, 6503], [1166, 3151], [5431, 5565], [7645, 10822], [81, 5558], [1428, 4814], [893, 1272], [7897, 11043], [772, 3197], [1795, 9711], [2383, 9881], [480, 9212], [8071, 9883], [1282, 6867], [2252, 8085], [258, 882], [8095, 11408], [297, 6472], [1782, 4938], [92, 5316], [2832, 9865], [1650, 8956], [2025, 8079], [6944, 9031], [719, 3162], [342, 2458], [505, 10558], [4941, 8158], [6314, 8635], [3741, 5889], [3509, 6320], [1234, 10209], [9859, 11137], [2491, 10703], [4819, 6448], [2458, 8311], [10137, 11081], [1618, 10549], [4199, 4488], [732, 6026], [11105, 11472], [336, 6026], [1576, 10323], [2018, 11422], [4972, 10073], [1634, 8049], [5336, 11289], [2036, 5585], [3971, 5011], [1593, 11431], [289, 2423], [4435, 9087], [3869, 3980], [5491, 11577], [4798, 7449], [694, 10056], [6414, 8061], [6047, 6547], [1249, 7053], [2114, 3559], [8526, 10008], [3044, 3466], [3198, 7316], [2387, 8794], [1009, 3809], [1110, 11031], [1265, 1520], [5468, 7220], [3842, 4385], [2379, 7398], [1422, 9051], [1314, 1412], [18, 3599], [195, 4235], [2127, 4144], [5550, 7969], [5424, 9550], [978, 9010], [6552, 7190], [4047, 8173], [1569, 8697], [2173, 2984], [1068, 4739], [648, 5873], [8901, 11359], [7373, 9813], [1343, 10047], [4536, 8714], [152, 4888], [5286, 9966], [1335, 9405], [8611, 11004], [5228, 9207], [5247, 7005], [923, 10400], [5250, 11440], [5398, 7174], [7853, 9110], [3257, 7091], [4618, 10217], [7543, 8130], [4318, 9925], [2004, 7470], [3468, 5059], [135, 9795], [943, 8019], [4869, 10967], [3124, 10884], [199, 4303], [288, 10010], [5321, 5614], [8321, 11026], [4202, 8437], [876, 3764], [1490, 5155], [3551, 7164], [2713, 6065], [6481, 7673], [4291, 7728], [3182, 4823], [3307, 10187], [1184, 5048], [211, 7696], [25, 11478], [8624, 11185], [4944, 5260], [1833, 2461], [7278, 9121], [1791, 8651], [675, 3077], [1144, 8251], [8575, 10919], [1846, 5325], [1631, 1953], [2785, 7230], [350, 6700], [1418, 10705], [3875, 8550], [1690, 1779], [4618, 6379], [3116, 10218], [4217, 5281], [4991, 11091], [6890, 8608], [3956, 4193], [2278, 6086], [2990, 10264], [4953, 5322], [2950, 4449], [1838, 5033], [9367, 11242], [403, 3678], [4262, 4650], [360, 598], [544, 3159], [7311, 10708], [4840, 9767], [3883, 11420], [661, 711], [6082, 9229], [662, 3565], [3000, 4916], [1327, 6399], [5993, 9157], [7760, 10719], [2445, 9767], [9468, 10920], [6174, 9168], [9566, 11428], [1120, 5547], [903, 7010], [1157, 10310], [2675, 4752], [6604, 11381], [2029, 4577], [434, 4438], [1213, 8340], [4884, 10015], [2040, 10778], [4249, 9275], [610, 6357], [6217, 11093], [1420, 11070], [1260, 7405], [10045, 10500], [4561, 8049], [3136, 9634], [1386, 9207], [3932, 10507], [539, 4612], [3997, 5240], [6025, 11273], [1574, 6225], [1559, 4439], [2568, 7083], [2085, 3731], [4173, 10569], [4078, 7299], [4210, 8916], [4740, 5698], [3584, 3758], [6817, 8240], [7262, 8856], [7876, 10247], [963, 7010], [2073, 8982], [2011, 8104], [4232, 8116], [239, 3946], [6651, 9641], [7489, 10740], [4982, 8614], [548, 11117], [2666, 3834], [2830, 8372], [6092, 11340], [8363, 10715], [3165, 10348], [2344, 4722], [6273, 6433], [4587, 8465], [208, 4983], [1106, 6133], [2028, 5425], [2659, 9429], [2012, 4892], [754, 4927], [4372, 9974], [4515, 9528], [7163, 8072], [1709, 4332], [1464, 10163], [968, 6549], [1145, 11349], [3954, 7367], [862, 8782], [8869, 10829], [371, 5512], [7869, 9402], [89, 164], [3442, 8912], [3194, 11062], [3290, 5108], [1722, 10579], [387, 2258], [2845, 7875], [1014, 8772], [5938, 10068], [9238, 9356], [331, 9496], [4837, 7835], [4808, 6316], [3495, 8896], [10028, 10414], [3185, 7916], [222, 11431], [5361, 9683], [9492, 9653], [2408, 8224], [1026, 5749], [3329, 7291], [5569, 7353], [4161, 4411], [2330, 5308], [4252, 10191], [5941, 6178], [3174, 9605], [2761, 7746], [4096, 8897], [2888, 6767], [2456, 7110], [329, 10897], [2421, 8055], [3164, 5884], [3625, 6279], [3974, 4935], [3683, 10421], [7394, 9243], [1291, 6555], [6831, 10069], [2437, 5555], [360, 7177], [1413, 5986], [1323, 3060], [1805, 2080], [2067, 10159], [4646, 7435], [3777, 4771], [8561, 10968], [1281, 6217], [2833, 5905], [2707, 7486], [7180, 9849], [1029, 2209], [8628, 9911], [832, 5078], [765, 3856], [4132, 5120], [305, 8567], [3474, 9092], [7859, 9356], [4127, 7405], [4851, 7436], [1178, 8317], [4370, 10546], [2252, 5751], [2152, 8553], [1883, 3410], [1974, 2774], [8231, 11564], [4960, 10762], [5196, 7097], [10, 1829], [6603, 10568], [6360, 6646], [3392, 9817], [4820, 7749], [129, 8876], [10373, 11468], [1600, 3472], [1404, 4314], [7477, 10543], [806, 8337], [6279, 10629], [6597, 9218], [8935, 9815], [2708, 9535], [7245, 10193], [3642, 6932], [1362, 9723], [123, 6028], [3853, 11316], [204, 540], [9080, 10169], [6000, 8181], [7798, 11308], [2383, 6742], [4597, 5583], [729, 6777], [543, 3389], [4691, 9382], [742, 11146], [6019, 9362], [2779, 10125], [1540, 8682], [7608, 8151], [199, 6962], [75, 5206], [4839, 8499], [7640, 11072], [7079, 8561], [7172, 8752], [391, 7132], [7067, 11210], [878, 7250], [8002, 8455], [1814, 8103], [4326, 5655], [962, 2410], [1001, 8754], [903, 5213], [4803, 9192], [6730, 8003], [5102, 9259], [2389, 3123], [2961, 9176], [4446, 7642], [1025, 10279], [459, 7424], [3819, 4511], [517, 10812], [8248, 11463], [575, 2122], [6488, 10348], [3664, 10989], [1207, 8980], [858, 1656], [1324, 3149], [1981, 5368], [6210, 8125], [5432, 11241], [5466, 10825], [6149, 7849], [9729, 10160], [660, 7306], [8700, 9493], [4524, 6370], [1372, 2816], [4212, 10979], [1535, 4500], [2063, 6871], [5452, 9614], [844, 6080], [5008, 5436], [3616, 3751], [4701, 4727], [341, 5459], [1686, 8052], [5725, 7679], [1238, 7138], [2616, 4953], [5821, 8141], [5413, 10036], [1265, 4797], [2980, 6169], [2733, 9675], [8015, 8235], [5831, 11488], [3403, 7965], [7365, 9816], [5703, 5826], [8256, 10549], [6895, 7423], [4372, 11210], [4652, 7063], [326, 7379], [6257, 10549], [639, 5624], [3647, 5292], [2927, 8386], [2361, 3279], [160, 9561], [2873, 5117], [3238, 3552], [5006, 10974], [5037, 10287], [8722, 9386], [6036, 11489], [3331, 9378], [2641, 8931], [2698, 8684], [1328, 2062], [1675, 5553], [2878, 5087], [1800, 4501], [4459, 9650], [75, 5824], [176, 5876], [9130, 10500], [5928, 7583], [2721, 4322], [8856, 11429], [3989, 4251], [7079, 9179], [518, 9777], [5391, 9630], [3894, 7397], [7013, 8559], [8482, 8744], [7236, 10294], [7159, 8384], [779, 7108], [1314, 4234], [9715, 10372], [243, 4095], [8780, 9340], [1904, 10866], [400, 1046], [778, 10266], [5570, 5781], [3455, 11083], [8147, 8646], [11049, 11271], [4817, 10647], [1450, 2967], [1678, 11462], [5224, 8527], [1368, 11236], [1645, 9070], [4072, 8958], [4337, 10195], [3944, 7460], [3228, 8044], [613, 2443], [3868, 8404], [573, 3044], [2725, 6669], [6077, 6901], [2632, 10642], [4898, 5509], [2183, 2710], [4090, 4252], [5640, 9529], [783, 3793], [1288, 8624], [3616, 4369], [5197, 8959], [2549, 7382], [215, 1242], [4380, 5704], [686, 827], [9961, 9973], [4918, 6511], [4176, 5874], [8565, 10044], [864, 11487], [9052, 10162], [8484, 10644], [2849, 8024], [2007, 9435], [3545, 6007], [1953, 6920], [19, 10348], [3534, 5094], [4844, 10884], [8472, 9479], [8284, 9428], [3504, 5602], [6305, 8175], [2650, 10416], [3092, 4345], [2242, 8901], [559, 3280], [877, 1869], [4956, 5059], [3775, 7758], [587, 2295], [896, 3050], [1823, 3440], [6406, 10859], [489, 10805], [241, 11457], [862, 7603], [8575, 9203], [3607, 6080], [5133, 6799], [2413, 3656], [2941, 10191], [3063, 4704], [898, 6479], [3164, 5510], [5528, 7328], [6266, 10475], [1911, 5889], [3067, 5577], [9322, 11288], [547, 2465], [5300, 7851], [1215, 4092], [306, 2029], [3495, 11100], [4692, 5901], [5483, 7154], [2479, 4252], [775, 4170], [2726, 4129], [1774, 6126], [9418, 9841], [3170, 10936], [4037, 4105], [9451, 11452], [5833, 7159], [3470, 8195], [5808, 8792], [3748, 7385], [1191, 5926], [4217, 6143], [2524, 7004], [8697, 10431], [1257, 9929], [4767, 10747], [3889, 10249], [4171, 9181], [1155, 3236], [11201, 11505], [1746, 9339], [4788, 7837], [1837, 9457], [3112, 4141], [5598, 6888], [7399, 10286], [4172, 9002], [3797, 7627], [526, 9077], [5132, 5368], [7408, 11503], [1548, 6321], [9359, 10708], [6766, 7340], [5367, 7894], [3825, 8894], [8739, 9502], [401, 680], [2534, 6537], [3571, 11229], [3905, 10351], [760, 7968], [1169, 6675], [4708, 5979], [9969, 10078], [3282, 8093], [818, 1907], [346, 9267], [1559, 9489], [9007, 10606], [4802, 8243], [5860, 11560], [5232, 7827], [189, 9283], [1723, 7611], [2145, 3170], [3110, 5542], [1905, 7093], [6290, 8111], [6818, 10482], [3893, 10317], [963, 5644], [1581, 3771], [685, 2667], [2333, 2817], [3081, 7406], [3984, 8900], [1742, 8011], [6874, 10010], [7798, 10129], [2603, 7781], [2878, 3290], [1972, 7914], [660, 10315], [1532, 10244], [1517, 2042], [2117, 6733], [9121, 10088], [315, 10280], [4396, 10133], [6349, 10919], [843, 6235], [2463, 10753], [5660, 6910], [969, 8037], [1236, 5937], [554, 9515], [2069, 2905], [2382, 8320], [2113, 9593], [267, 9458], [5155, 8091], [955, 6826], [1268, 5071], [170, 9525], [6030, 8291], [9951, 10141], [2291, 11585], [1635, 9968], [135, 4054], [7300, 8266], [5619, 9888], [1435, 2740], [1066, 10979], [2623, 6847], [3428, 5554], [8259, 10823], [4646, 6874], [1633, 6108], [532, 4629], [2390, 7807], [3303, 9989], [2209, 5517], [5626, 9554], [309, 1359], [405, 8237], [5783, 7259], [1736, 6236], [1171, 10399], [4785, 11540], [1483, 5009], [8078, 8159], [142, 9705], [2499, 8100], [3228, 8475], [10501, 10557], [1077, 1288], [4433, 8055], [3681, 5976], [4494, 4544], [380, 8715], [1939, 3912], [6228, 10130], [406, 1268], [2304, 7982], [9931, 10562], [967, 2998], [3771, 5088], [3948, 10642], [8404, 9618], [3858, 7716], [1640, 11385], [6776, 10874], [1270, 6190], [642, 6621], [1419, 9696], [4251, 7418], [8208, 8925], [4748, 8224], [3538, 9431], [5181, 10735], [5788, 10181], [334, 5687], [580, 2710], [3878, 5335], [5987, 6634], [2569, 6536], [3369, 6397], [416, 4938], [4958, 9350], [1935, 8650], [1596, 2768], [790, 10252], [5360, 6886], [1941, 5432], [4360, 7711], [5912, 7399], [2410, 10606], [7541, 9751], [2873, 6166], [6582, 10577], [8626, 10727], [187, 1853], [9400, 10121], [5566, 10145], [342, 8557], [1128, 9466], [464, 10240], [1398, 11047], [1734, 4580], [6248, 9950], [6339, 9314], [3380, 3903], [5031, 9986], [332, 4836], [2171, 10970], [8236, 10168], [803, 4421], [1575, 9404], [3349, 7973], [1611, 2645], [10191, 11000], [8389, 10383], [5213, 6435], [1978, 7542], [1233, 7388], [3724, 10479], [4653, 10942], [2977, 9498], [785, 1556], [1163, 5114], [2226, 4611], [5612, 9335], [1404, 1793], [1813, 8414], [4831, 9524], [4234, 5104], [5643, 8648], [9166, 10425], [10804, 11385], [4452, 6495], [45, 5129], [1721, 3163], [4367, 8077], [2185, 11403], [9561, 10954], [2235, 11520], [691, 9441], [187, 1048], [8282, 10112], [6291, 6590], [9706, 10554], [5695, 11440], [9427, 11139], [3336, 3550], [4948, 10459], [4480, 8139], [2264, 2809], [779, 2091], [2730, 8466], [1926, 10361], [6618, 7924], [2920, 5557], [4934, 9248], [3628, 6583], [4404, 6050], [1231, 8789], [5721, 6595], [1860, 8960], [9379, 10317], [5055, 10706], [1879, 2594], [2593, 8353], [540, 1701], [4402, 8606], [7734, 10815], [3271, 8416], [1228, 11120], [4903, 10285], [5144, 6964], [624, 9693], [6792, 7114], [7377, 10019], [7354, 8315], [6519, 10897], [3305, 10629], [186, 3051], [3668, 8991], [968, 7224], [1147, 2271], [3889, 7647], [5914, 9999], [7350, 7792], [5657, 7899], [4511, 7401], [844, 8097], [8891, 9573], [3607, 7934], [2943, 8708], [7399, 7684], [331, 6788], [6158, 9578], [1669, 8210], [960, 2795], [3847, 10804], [2541, 8139], [4089, 10337], [4992, 6169], [2070, 5521], [9628, 10216], [853, 5557], [10315, 10365], [632, 3868], [6881, 7879], [594, 7548], [1463, 3796], [5696, 6672], [2337, 10187], [4042, 6707], [4642, 8392], [318, 4617], [2209, 4525], [4939, 7632], [1171, 6024], [6096, 10928], [6182, 9948], [4248, 6960], [1985, 5948], [3666, 4326], [9359, 10334], [6530, 10631], [2418, 5049], [7120, 7464], [551, 4037], [179, 2179], [1457, 2796], [4246, 10270], [1701, 9572], [4526, 6123], [1045, 7955], [2475, 2550], [511, 8021], [7669, 8810], [3462, 6374], [6858, 9534], [3993, 10174], [1619, 3504], [7819, 8754], [1855, 2468], [226, 10639], [4106, 4574], [1867, 9618], [244, 8966], [7338, 8831], [8076, 8568], [5063, 6304], [739, 2529], [8364, 8446], [6992, 11577], [397, 9181], [2221, 7113], [1598, 7888], [10386, 10500], [2214, 3690], [1159, 4054], [3380, 4066], [2375, 10963], [753, 3366], [5959, 10010], [3156, 4358], [4403, 10580], [6576, 8666], [1626, 6149], [2557, 4029], [2345, 5836], [1872, 3172], [3527, 6745], [7574, 7768], [1534, 7314], [101, 2622], [3774, 6622], [410, 9793], [6879, 9606], [3515, 8613], [5736, 8625], [6751, 10360], [3143, 6755], [4485, 5667], [556, 8837], [5762, 6813], [9294, 11362], [4199, 6212], [8710, 11311], [429, 3777], [10296, 10583], [3570, 8670], [2569, 4389], [4475, 4575], [5311, 11263], [2785, 11369], [1326, 5456], [7549, 8246], [5121, 8887], [599, 11543], [4150, 8198], [3935, 4072], [1657, 4280], [5989, 7916], [1383, 2957], [5240, 9518], [2463, 5841], [8815, 11485], [3242, 9743], [1812, 4568], [2865, 3377], [5356, 10632], [2056, 11344], [5664, 8533], [1541, 9932], [3739, 4133], [2053, 11046], [470, 2623], [7317, 8246], [5851, 7578], [2854, 5847], [283, 6180], [2895, 5848], [4791, 6100], [2208, 11334], [8753, 10957], [1337, 5591], [834, 7222], [7152, 7620], [4196, 8142], [2508, 8593], [3974, 9261], [7709, 8477], [1338, 9199], [6690, 8498], [1642, 9610], [7500, 7549], [5623, 5849], [4752, 8774], [5457, 10283], [1234, 11478], [4472, 9888], [5767, 8230], [2573, 9338], [5013, 9488], [4772, 7147], [2719, 9163], [2313, 8475], [3126, 11207], [1660, 4123], [8695, 9043], [4361, 8744], [3891, 6351], [8311, 9834], [322, 8336], [4611, 8892], [492, 6303], [1890, 5524], [341, 3101], [458, 3686], [5258, 9642], [4697, 4879], [3718, 10745], [146, 2633], [2489, 3574], [3103, 11381], [930, 6879], [3127, 9523], [6676, 10269], [2595, 4000], [2099, 6048], [2432, 5699], [3397, 8071], [2628, 3359], [658, 714], [1375, 9400], [7204, 9607], [2586, 3133], [4306, 7101], [5297, 8442], [4617, 8683], [288, 5318], [6100, 6322], [4150, 9971], [9809, 10733], [3577, 10109], [2092, 5227], [870, 11335], [4426, 9088], [3961, 10449], [4890, 7502], [771, 4159], [3567, 6388], [7716, 11071], [7831, 8577], [614, 9810], [8048, 10497], [5212, 11121], [4752, 7164], [2999, 3056], [1355, 7943], [3036, 6321], [1076, 8528], [3182, 5392], [4400, 6712], [10463, 11499], [3221, 9484], [9661, 10811], [1901, 8641], [6603, 11056], [502, 2779], [5923, 11297], [314, 9898], [4483, 5434], [4644, 6291], [6359, 7663], [5268, 6118], [4198, 5450], [2308, 9150], [2296, 7635], [1922, 9114], [2672, 10366], [6686, 8997], [213, 5278], [8239, 11539], [1711, 8113], [80, 9852], [2007, 4499], [5069, 11543], [613, 6151], [4290, 5389], [11041, 11304], [1480, 5736], [4256, 5778], [7801, 9034], [886, 8380], [3291, 6035], [1388, 9530], [3628, 9592], [4342, 8181], [1997, 4161], [8935, 9148], [1966, 8231], [1278, 4447], [3024, 7384], [8564, 10898], [5976, 9372], [30, 2918], [5105, 10045], [1001, 9242], [4879, 8012], [5264, 7823], [3884, 9181], [6258, 9435], [6323, 10584], [3815, 4880], [4384, 7252], [5406, 10158], [800, 8205], [7121, 11530], [829, 6691], [7613, 7828], [2138, 9627], [5940, 7813], [3280, 4721], [6487, 7982], [569, 8457], [1730, 8489], [10188, 10997], [3778, 5348], [910, 1553], [2157, 7775], [233, 5475], [1121, 5937], [2461, 8186], [6609, 9261], [7010, 10359], [2462, 11040], [629, 9612], [2748, 10845], [1870, 3931], [595, 6995], [3476, 11025], [9078, 11253], [7032, 8024], [991, 10378], [2168, 6779], [4074, 5467], [5056, 5564], [262, 3560], [4131, 9384], [3219, 5892], [2190, 5979], [3306, 8520], [754, 6651], [8890, 11552], [3935, 8691], [9411, 10500], [7945, 9832], [7630, 10760], [321, 6769], [10622, 10649], [6664, 8917], [7008, 8727], [2588, 2992], [5850, 5960], [776, 8103], [2558, 10697], [8494, 10047], [4238, 8850], [1678, 2956], [5233, 6900], [866, 11379], [4627, 11062], [372, 3674], [1081, 1919], [869, 4480], [8799, 11033], [3627, 9635], [4413, 10544], [2104, 8433], [3907, 6242], [9447, 9756], [4588, 8855], [3058, 10646], [922, 10907], [5580, 7388], [3037, 3353], [10003, 10388], [3506, 8527], [7828, 11475], [2076, 3352], [478, 1067], [6577, 8517], [1042, 3095], [414, 5778], [2224, 4004], [572, 6364], [3190, 9984], [3180, 9296], [3894, 7885], [1189, 5774], [228, 9937], [715, 10055], [405, 11327], [5176, 9375], [532, 11102], [1087, 8880], [5667, 6202], [3549, 7069], [6566, 7954], [8436, 9237], [967, 7243], [3388, 9595], [3606, 10986], [1149, 8977], [3599, 9815], [7212, 8102], [5596, 10873], [9328, 9818], [1895, 4071], [7172, 8703], [5651, 8328], [7175, 8220], [669, 6273], [512, 8541], [4490, 5263], [7015, 7938], [3868, 8892], [5268, 11192], [4549, 5843], [6763, 10346], [202, 10944], [6725, 7610], [1315, 9804], [8505, 10131], [3118, 6859], [4986, 11479], [9442, 10455], [6605, 6727], [4019, 6028], [1243, 5205], [5542, 6449], [6159, 11521], [3511, 9944], [8425, 10552], [6090, 7220], [2482, 3615], [2389, 3424], [1339, 1880], [1301, 5560], [9650, 11508], [1789, 8532], [1703, 3096], [837, 4113], [266, 914], [773, 2408], [8018, 8858], [518, 1889], [6051, 10648], [2155, 3378], [3383, 4632], [823, 5154], [5463, 10855], [2383, 9621], [4491, 7312], [4217, 8241], [475, 2192], [1357, 9225], [975, 6679], [1811, 6951], [1322, 10170], [439, 5164], [2891, 7583], [1103, 5144], [9153, 9547], [10767, 10867], [6906, 9068], [5419, 7523], [23, 7171], [2175, 4380], [8532, 10368], [1125, 10006], [1157, 8009], [2730, 2912], [6628, 9474], [1645, 10981], [993, 6854], [4663, 5675], [1579, 6951], [211, 402], [773, 8019], [4725, 9936], [734, 5812], [4583, 6096], [8688, 10507], [4529, 9243], [8381, 9044], [786, 9385], [6300, 7514], [1780, 3827], [935, 8727], [6793, 10830], [1311, 10704], [1471, 6455], [2868, 5074], [8716, 8741], [1187, 6696], [6655, 10896], [5602, 5671], [650, 2327], [371, 10082], [3712, 9371], [4672, 4983], [4476, 8077], [36, 10735], [26, 3631], [1837, 7717], [6314, 7570], [1711, 8544], [527, 10972], [460, 5586], [4599, 7329], [10442, 10652], [7587, 11226], [961, 7265], [4961, 7718], [603, 2861], [9040, 10908], [5864, 6960], [1478, 2307], [1129, 2153], [2061, 8549], [2899, 3232], [3184, 5845], [387, 4145], [528, 10042], [5606, 8772], [10272, 11530], [1838, 3000], [6915, 10954], [8679, 8835], [8348, 9984], [1185, 11480], [5509, 8839], [246, 3913], [810, 5941], [8033, 8660], [4170, 10198], [6663, 7700], [244, 834], [1274, 4355], [4352, 4762], [1838, 6383], [843, 5300], [955, 5541], [4542, 9023], [7152, 7864], [5593, 10415], [9526, 10370], [2293, 6963], [3136, 8406], [491, 4094], [6678, 7227], [1943, 6584], [2385, 3519], [8510, 9938], [8322, 10641], [1942, 2949], [732, 10572], [140, 6496], [859, 6183], [3660, 8002], [2476, 6266], [4212, 8515], [4305, 5296], [4335, 6636], [6574, 11391], [503, 4454], [648, 1425], [3090, 8761], [8491, 8733], [8628, 11448], [213, 7132], [5968, 8356], [5324, 8254], [2614, 5799], [4639, 8151], [155, 6373], [10177, 10838], [2949, 5523], [5715, 11293], [4199, 11262], [1016, 6143], [1041, 7139], [9845, 11038], [10574, 10659], [3690, 5908], [160, 7097], [1004, 4978], [2786, 3408], [8013, 8677], [412, 902], [1279, 6903], [1719, 7175], [11421, 11470], [2796, 3372], [1968, 7879], [4733, 10041], [868, 10752], [2642, 2905], [6186, 9723], [7412, 10150], [3916, 6786], [55, 9151], [1021, 8715], [3039, 9896], [1368, 6544], [2484, 9085], [3136, 6796], [7618, 11157], [4347, 6191], [8664, 8795], [4315, 11571], [1698, 5143], [4120, 10349], [6274, 9139], [4366, 7372], [947, 6672], [1256, 7427], [8534, 9853], [2384, 11483], [101, 9095], [3776, 7506], [6971, 9252], [5885, 8805], [5733, 10663], [346, 1729], [60, 5307], [7697, 9329], [6006, 10263], [6606, 7784], [2448, 6021], [7650, 8759], [2576, 4486], [4666, 11397], [554, 5815], [2054, 5313], [1510, 3937], [7965, 11214], [6430, 8497], [1669, 8885], [7646, 8236], [4139, 11099], [526, 7150], [8516, 11502], [2535, 10497], [3440, 6402], [5876, 10540], [4216, 6623], [8228, 8591], [5358, 7352], [6915, 7384], [779, 7222], [479, 6930], [2308, 5206], [560, 1442], [1396, 5878], [783, 1679], [7725, 9818], [6813, 10490], [3513, 11202], [435, 4379], [6231, 7856], [3573, 4837], [2241, 7367], [488, 3259], [2731, 7002], [1143, 5405], [8142, 8416], [6619, 7214], [6839, 8678], [4447, 11228], [4139, 6911], [4416, 9663], [4970, 6839], [853, 5077], [2265, 8892], [2552, 8168], [551, 4712], [2416, 2645], [10223, 10296], [4428, 9673], [8722, 10573], [7698, 11004], [5951, 10094], [5736, 6722], [264, 11448], [4147, 7152], [10179, 11128], [253, 709], [8475, 11046], [3795, 5946], [4803, 5736], [2981, 3743], [5976, 8811], [7354, 7380], [1437, 1664], [530, 9096], [9644, 10969], [1983, 8024], [3294, 5371], [6095, 7190], [3638, 9345], [3610, 7297], [6148, 10988], [1542, 8281], [4107, 8103], [1664, 6931], [43, 2188], [1142, 7758], [6147, 9982], [1223, 2270], [1324, 3076], [45, 8650], [322, 7238], [1287, 7358], [1688, 8456], [8382, 10831], [5307, 9941], [2365, 7163], [3650, 5541], [2865, 8240], [9153, 9173], [1588, 10854], [4224, 4500], [2864, 11398], [5763, 10342], [338, 5088], [2661, 3899], [1761, 1922], [2392, 5926], [300, 2352], [709, 6721], [4382, 9223], [1137, 9642], [1856, 2913], [2079, 11064], [4156, 7190], [5460, 9028], [8579, 10190], [3400, 7621], [1297, 11028], [8105, 10307], [322, 6433], [5272, 6698], [7844, 9219], [137, 10817], [8375, 8855], [221, 9010], [3521, 9052], [3682, 7657], [2025, 3257], [4798, 10198], [3024, 5213], [7155, 8593], [7165, 9281], [8422, 11303], [8304, 10493], [8242, 9615], [4597, 6128], [2200, 8334], [4559, 9808], [987, 5860], [2385, 7333], [1858, 7816], [5306, 7756], [4806, 6652], [4990, 9213], [692, 4407], [5265, 11138], [2269, 5845], [7807, 8532], [6626, 10477], [6476, 7500], [7594, 10868], [875, 10126], [1046, 1902], [156, 4777], [7618, 9010], [4446, 8187], [1775, 11322], [9547, 10873], [576, 2138], [3858, 11400], [10226, 10407], [4567, 9645], [243, 10788], [4436, 10882], [4004, 4055], [9069, 11248], [1240, 11163], [2875, 6944], [3590, 9141], [792, 10249], [2181, 2591], [422, 5054], [4709, 8947], [5944, 7238], [376, 1676], [136, 5599], [7759, 11443], [9239, 9565], [2797, 7411], [7093, 9138], [4547, 4805], [3487, 4825], [1804, 6374], [2143, 10004], [7932, 10058], [1301, 4999], [6867, 9734], [8023, 9422], [8701, 9108], [678, 5774], [3288, 4615], [7080, 10781], [6093, 9559], [3884, 5400], [4410, 11108], [5367, 7203], [6776, 7337], [5220, 10159], [5153, 8937], [7486, 9190], [1412, 4988], [858, 1396], [7012, 8553], [1133, 3321], [3557, 5944], [6759, 8861], [7920, 8893], [4986, 6730], [2868, 8351], [5703, 9754], [2778, 9589], [9648, 9746], [2559, 10225], [6604, 8169], [4429, 9256], [444, 9111], [2213, 3172], [2405, 9758], [9843, 10187], [1559, 2382], [1115, 1210], [3267, 8999], [9001, 9346], [281, 5148], [277, 7658], [554, 6246], [3350, 7721], [6937, 7039], [1620, 9424], [3948, 9333], [2458, 4107], [584, 8340], [1489, 4245], [4531, 4995], [1642, 4487], [7500, 8842], [3789, 8522], [1630, 2972], [4220, 10960], [4318, 7331], [1947, 2090], [11, 5445], [8665, 11275], [1074, 1936], [10354, 11426], [5208, 7839], [84, 3449], [8394, 10223], [2314, 2823], [2322, 6848], [2559, 6037], [11086, 11348], [9961, 10973], [67, 11389], [4888, 9554], [4743, 6167], [3838, 3846], [2703, 2783], [4512, 10206], [972, 4261], [5168, 8790], [1425, 2516], [2957, 6433], [3480, 6208], [6969, 8401], [641, 8069], [5909, 9175], [421, 5851], [5537, 7317], [3011, 6669], [9048, 10989], [545, 10990], [3785, 3811], [2499, 8214], [9381, 10640], [4214, 5422], [4193, 4545], [2383, 4067], [6612, 10988], [377, 5929], [5799, 10885], [3686, 6434], [484, 3517], [8505, 10188], [2177, 2686], [6175, 7200], [4585, 11192], [566, 5801], [2863, 6397], [11051, 11488], [5170, 7681], [445, 7726], [3084, 11469], [283, 2480], [434, 2649], [8431, 11178], [3978, 8713], [1765, 7064], [2304, 11479], [7712, 8458], [6991, 8698], [1925, 8450], [1452, 5786], [6035, 6789], [2454, 11423], [4345, 10577], [3445, 8600], [3380, 8205], [3945, 7425], [3152, 5345], [3033, 8097], [7699, 10855], [3155, 9026], [8452, 8618], [4370, 9294], [447, 6617], [4619, 5834], [4395, 11044], [5482, 7929], [3312, 9360], [6191, 6928], [167, 6977], [41, 8558], [1412, 5956], [7159, 7319], [3456, 6106], [3110, 5469], [8722, 10549], [1783, 8343], [2306, 8118], [3959, 10110], [10586, 11263], [1154, 8549], [3671, 7199], [4779, 9879], [2581, 9262], [2040, 11567], [264, 9919], [6707, 11517], [2574, 9222], [6834, 10538], [1603, 2117], [1221, 5233], [949, 7743], [2602, 4073], [1886, 8067], [1034, 3128], [1404, 1907], [3895, 4998], [282, 1049], [1498, 7204], [9846, 10298], [281, 7994], [749, 3144], [2096, 2400], [2299, 9175], [3558, 5578], [6753, 7324], [4074, 10598], [343, 8091], [3664, 6004], [4011, 9495], [931, 8261], [4539, 5450], [236, 7470], [1340, 6968], [6534, 9845], [2606, 6070], [6121, 7232], [1432, 9940], [3251, 7528], [2946, 6892], [4131, 11482], [5091, 9346], [3971, 10069], [1514, 5054], [7369, 9892], [3664, 6354], [1420, 4638], [2538, 8760], [5027, 8772], [1634, 7041], [796, 5942], [4464, 10352], [5949, 8818], [2351, 5901], [2781, 11147], [3994, 4953], [384, 6937], [4119, 10317], [1696, 7138], [992, 8513], [4424, 7920], [4753, 6698], [5234, 6971], [4322, 9895], [225, 3093], [7004, 8050], [939, 1682], [4533, 7863], [4660, 9136], [2198, 4531], [7930, 10467], [1882, 5988], [4848, 6154], [2045, 6918], [8767, 11341], [5565, 9178], [1952, 4475], [4978, 5446], [6965, 11478], [2419, 6570], [1129, 4438], [387, 3047], [540, 4043], [75, 1994], [9665, 10212], [10907, 11172], [1902, 3607], [4496, 8331], [6662, 10164], [3274, 3859], [8659, 10468], [7475, 8732], [7136, 9266], [7237, 9318], [1208, 2637], [1811, 4593], [3853, 10332], [274, 5213], [4914, 6750], [805, 11265], [8090, 8446], [2952, 8130], [5813, 10754], [1608, 2729], [4507, 5837], [6652, 8291], [9174, 11449], [7643, 10386], [1369, 10260], [6677, 10041], [7269, 7701], [10512, 10619], [3038, 4871], [2733, 10651], [8700, 9314], [4159, 7756], [7168, 10278], [296, 2878], [4680, 6704], [46, 1949], [719, 5455], [8290, 10355], [6787, 7553], [7752, 10679], [10276, 10500], [2614, 11117], [2583, 9552], [2125, 7920], [5084, 11079], [7125, 7548], [1679, 3669], [9748, 11512], [374, 8022], [5221, 6654], [2738, 3424], [3328, 6673], [9212, 9997], [2144, 9101], [3517, 7326], [3388, 4472], [5625, 7269], [1860, 2926], [3297, 8491], [2552, 3419], [2330, 5292], [675, 1719], [293, 5589], [5468, 10668], [2572, 4825], [9015, 9833], [1906, 2520], [8118, 11537], [6452, 10057], [1137, 6853], [2718, 8033], [6298, 9590], [7387, 8056], [1015, 10805], [2490, 8583], [3153, 10590], [619, 3665], [567, 3475], [2492, 8629], [5701, 6301], [3648, 8317], [1566, 5431], [752, 8890], [1812, 8870], [3928, 10586], [5079, 9930], [2923, 4651], [1588, 10293], [2452, 6197], [4317, 7136], [368, 2484], [3081, 9374], [6462, 7338], [4228, 11228], [4128, 7614], [5067, 8765], [1149, 6432], [4559, 10052], [2759, 10262], [6357, 6763], [4125, 7316], [2530, 3794], [3336, 5355], [823, 3414], [7318, 9366], [6858, 11071], [1228, 11047], [3931, 10833], [2907, 6346], [5641, 7697], [2905, 9683], [244, 3737], [3306, 10781], [4983, 9417], [9089, 10266], [254, 1392], [4512, 6799], [837, 1218], [2368, 3035], [111, 1114], [3646, 10068], [7094, 10008], [526, 9435], [7393, 10075], [5882, 10388], [3356, 10494], [1398, 2948], [9885, 10358], [11, 7299], [3813, 7737], [4682, 8149], [1855, 4355], [5837, 9864], [691, 10441], [5871, 9448], [2698, 11433], [485, 9784], [886, 7876], [6605, 9443], [1001, 8388], [1350, 6290], [6769, 7565], [5267, 11404], [1256, 5874], [6385, 10608], [2622, 2928], [1340, 4821], [5286, 8421], [4389, 10125], [339, 3169], [3234, 4623], [1204, 1927], [6100, 7591], [1430, 8097], [3844, 9278], [4568, 9309], [640, 9698], [6839, 7930], [11507, 11515], [5815, 8361], [5166, 10167], [9020, 10795], [6095, 10630], [8304, 9127], [4816, 9788], [5561, 10696], [6086, 6380], [1266, 9571], [1698, 5818], [760, 7521], [3964, 4849], [5113, 9782], [794, 6351], [3934, 8390], [4185, 5757], [2354, 10818], [4023, 4675], [3862, 10207], [5512, 6266], [4669, 4823], [9218, 11160], [5957, 11046], [1434, 3678], [4171, 10962], [4106, 4151], [2650, 4171], [154, 5617], [3803, 9977], [3755, 5799], [1086, 5597], [7679, 7920], [2076, 3303], [4593, 6117], [7055, 9224], [1107, 3441], [3537, 7010], [5156, 8674], [385, 1958], [1876, 10038], [952, 3503], [3871, 9515], [5834, 10989], [4836, 6225], [5338, 11539], [918, 1640], [8383, 9554], [1284, 9345], [4310, 10316], [263, 2877], [5201, 8043], [2959, 7154], [820, 7898], [3996, 5430], [6107, 6802], [2025, 9730], [2304, 2729], [3423, 8951], [3982, 10635], [5045, 10132], [1492, 3982], [1106, 6198], [398, 8555], [4433, 8063], [2263, 2324], [731, 4042], [1101, 2821], [889, 4628], [2006, 5142], [3029, 5240], [2280, 3432], [6478, 8034], [1748, 9987], [8998, 10365], [2527, 3309], [5980, 10009], [5388, 10097], [319, 6168], [4792, 8531], [2774, 10733], [343, 3529], [6468, 9948], [8462, 10735], [3825, 8715], [3209, 4245], [2116, 8289], [8150, 8928], [3045, 9506], [3580, 5878], [3941, 9829], [8342, 9098], [1926, 5913], [6303, 8568], [3228, 7678], [7900, 11382], [4094, 7038], [289, 6302], [4800, 5739], [1885, 6262], [295, 10254], [3709, 4194], [7485, 9827], [6, 2981], [2530, 2802], [4936, 8229], [2837, 7648], [2436, 6550], [1123, 9130], [474, 2268], [1499, 5445], [6129, 6294], [2992, 7936], [6753, 8373], [10183, 11117], [1907, 10343], [1721, 7709], [10673, 10752], [4319, 8445], [7587, 8949], [3505, 9625], [2794, 10553], [7121, 10839], [3630, 8573], [6868, 6983], [457, 10558], [2038, 10984], [516, 1339], [4839, 7141], [2067, 10224], [8634, 10572], [2815, 11026], [3278, 6586], [1685, 3891], [2880, 9923], [7768, 11562], [8573, 10269], [2275, 10523], [1093, 3198], [928, 5605], [4267, 10483], [4699, 10894], [6256, 6762], [2056, 9661], [2868, 5375], [5010, 8312], [4803, 11217], [5414, 6675], [3038, 3342], [278, 770], [6012, 7533], [7565, 10829], [934, 5770], [3231, 6366], [4313, 10077], [1790, 7448], [7953, 10187], [3913, 6171], [4873, 8199], [4842, 6634], [919, 3957], [3575, 9559], [1633, 2546], [7747, 9530], [7458, 9427], [1446, 3851], [1506, 11072], [5556, 9360], [9040, 11209], [10373, 11533], [581, 4312], [2539, 5442], [4994, 6624], [3000, 4339], [1601, 4893], [3953, 5196], [3462, 8342], [3935, 8000], [3493, 7655], [633, 1469], [1911, 9256], [4983, 9848], [3152, 10745], [8343, 9187], [5822, 9637], [3169, 7716], [1369, 7926], [3420, 5083], [7088, 7241], [6599, 10460], [978, 1130], [249, 11278], [1548, 7110], [3259, 4576], [8732, 9120], [50, 488], [853, 2532], [1413, 7824], [1048, 2219], [6139, 10633], [6612, 11045], [3866, 8179], [7006, 10218], [1283, 5499], [715, 5981], [9909, 10035], [9783, 10862], [5948, 8032], [3654, 7707], [2095, 3842], [8492, 8505], [3172, 7209], [4261, 5675], [2581, 6741], [8584, 11477], [2956, 5864], [6531, 7077], [3107, 6033], [1369, 7121], [6462, 9192], [5357, 10947], [437, 9770], [1110, 9112], [5007, 6404], [2010, 4673], [2486, 11018], [3534, 8729], [2479, 9847], [1332, 10622], [5594, 7103], [2249, 3154], [6579, 10881], [3656, 10762], [4093, 6599], [4122, 11501], [6975, 7848], [7609, 11369], [2988, 7630], [3796, 5854], [558, 1028], [6972, 7550], [843, 10057], [7133, 8407], [4550, 11389], [7530, 11261], [11267, 11304], [1, 2800], [7910, 11482], [718, 8076], [658, 8025], [5668, 8341], [6382, 6930], [8796, 8865], [843, 7024], [1367, 9653], [1897, 6435], [6553, 8505], [3734, 10988], [2356, 10921], [8651, 8861], [2168, 6706], [1505, 8082], [82, 4832], [3155, 4895], [4032, 11584], [3941, 5804], [5742, 8448], [5305, 6195], [1418, 3175], [1108, 8611], [5240, 10681], [9818, 11340], [2874, 5784], [4238, 8427], [6857, 8485], [2494, 3284], [7194, 11288], [5422, 7130], [4859, 7956], [3587, 10537], [4984, 6904], [3733, 10362], [5698, 6247], [4602, 6610], [875, 5003], [2334, 4500], [4316, 10188], [4381, 11337], [3828, 10599], [6254, 6879], [328, 3329], [2693, 8755], [1824, 6091], [6156, 9727], [1192, 9032], [5464, 6201], [1410, 10423], [949, 3612], [207, 8637], [4438, 5805], [4687, 6509], [3040, 9213], [4431, 8017], [1778, 6096], [6206, 9440], [468, 5941], [10708, 11043], [6226, 10846], [2337, 11163], [2483, 10234], [560, 5126], [221, 5660], [1774, 8956], [453, 4505], [1332, 1441], [8178, 8374], [1306, 6636], [120, 8991], [106, 4397], [426, 9448], [7458, 8435], [385, 7195], [1355, 3495], [3311, 10214], [2201, 10871], [3191, 8577], [2708, 5225], [4671, 6699], [2656, 5035], [595, 774], [4650, 5822], [1374, 6928], [6228, 6731], [2255, 4691], [1817, 10881], [4138, 9619], [10, 7668], [2178, 6164], [7004, 10335], [4792, 11540], [6106, 8404], [7462, 10432], [5158, 9419], [1108, 2463], [2202, 11072], [2536, 10194], [144, 6328], [2069, 4312], [2225, 4825], [1230, 10158], [1473, 3500], [1975, 4650], [915, 4670], [1749, 8279], [3813, 10559], [318, 10049], [7011, 9570], [1027, 2632], [2988, 7443], [2740, 3177], [5890, 10068], [4768, 9210], [2490, 6412], [3615, 6787], [5046, 8400], [650, 3059], [2704, 11067], [192, 2181], [961, 1231], [1368, 9691], [1557, 5426], [6280, 8718], [1364, 5785], [3850, 8532], [2910, 7910], [1423, 6365], [6498, 7076], [4119, 4226], [10882, 10902], [858, 10528], [170, 328], [2033, 3850], [4567, 8523], [2905, 10195], [1850, 11313], [1077, 2695], [4676, 8466], [2258, 9795], [2222, 3722], [4307, 10289], [2313, 3840], [9214, 9726], [2567, 11304], [93, 4430], [5361, 5536], [2990, 8963], [7508, 9571], [373, 6699], [4637, 6259], [4612, 7892], [8192, 10203], [596, 2772], [1691, 10852], [153, 2202], [254, 2254], [2556, 3194], [3669, 6218], [3010, 7336], [3416, 8024], [675, 10420], [7655, 9217], [2729, 11258], [2015, 6253], [2646, 9503], [1459, 1834], [2384, 7059], [3655, 11423], [5311, 11434], [9041, 10306], [3905, 11571], [6608, 10603], [10446, 10698], [6, 4030], [4274, 10125], [131, 9394], [5363, 8591], [511, 3199], [1316, 4158], [2709, 9451], [4056, 5701], [5644, 8052], [594, 8337], [3207, 6695], [1440, 2881], [7560, 8956], [471, 3019], [4452, 5674], [1088, 1675], [5661, 8406], [191, 10549], [2022, 9652], [5723, 9284], [618, 5698], [4953, 6599], [7410, 8608], [7928, 10291], [4168, 9298], [8488, 9167], [6588, 11425], [1361, 6910], [2135, 9714], [2238, 7183], [1011, 2367], [4598, 5095], [1534, 2142], [1289, 7973], [3498, 6470], [4212, 5059], [1235, 4704], [5371, 11434], [6030, 10316], [2506, 11320], [1814, 7794], [2316, 8944], [7636, 10240], [3801, 7410], [3085, 7240], [1660, 7327], [134, 2444], [5524, 8643], [1904, 9939], [5551, 11220], [8400, 11575], [993, 7049], [1712, 6736], [9499, 10729], [4017, 11357], [5380, 8140], [2489, 9811], [1527, 11120], [1706, 6167], [1551, 9262], [4455, 8550], [4049, 7108], [8252, 8644], [3381, 3976], [9399, 10498], [400, 6885], [183, 8348], [1952, 6573], [2017, 7722], [1913, 6618], [4502, 10998], [9734, 10195], [641, 6947], [599, 6721], [6087, 10045], [1505, 5480], [97, 8954], [128, 4103], [1688, 8570], [623, 8246], [8255, 11170], [10378, 10647], [9375, 11201], [507, 10515], [3422, 3576], [8065, 8794], [10585, 11125], [2421, 4176], [9275, 10970], [1811, 10074], [214, 3473], [6535, 9804], [9333, 11325], [5152, 7858], [2569, 5178], [2005, 8031], [2282, 10783], [8579, 10304], [1469, 11434], [6574, 9358], [2413, 7267], [8287, 9903], [4328, 4563], [5539, 11128], [1103, 7112], [878, 2298], [5019, 8618], [7412, 8922], [3177, 8602], [1933, 6815], [1589, 7005], [3454, 7190], [4147, 5656], [255, 2292], [2548, 5398], [4325, 7648], [340, 8257], [550, 4869], [2647, 9541], [517, 2477], [4823, 4892], [280, 6671], [868, 6841], [6181, 7720], [7516, 8871], [2483, 11015], [492, 8247], [767, 10172], [1349, 2980], [2374, 9567], [796, 8658], [4872, 8167], [9631, 11116], [2172, 6400], [3311, 10645], [1439, 9289], [2944, 9131], [1776, 5676], [1966, 11435], [4001, 8059], [357, 8961], [1718, 4917], [2740, 4413], [787, 7791], [97, 928], [635, 3987], [4494, 4959], [3647, 10944], [528, 3366], [5825, 9374], [218, 2386], [2425, 6472], [7349, 7768], [10119, 10274], [4140, 7844], [2980, 10666], [6218, 9076], [939, 7781], [9743, 10926], [6009, 8902], [5598, 7116], [677, 6091], [742, 4234], [951, 1375], [2415, 6134], [6582, 7259], [6680, 7794], [5035, 5663], [50, 6343], [5932, 6588], [9220, 11531], [1655, 3413], [8079, 10623], [1947, 7197], [980, 10414], [4958, 6382], [1761, 3809], [8884, 9330], [7547, 10762], [3275, 7931], [2168, 8105], [200, 6287], [1289, 4753], [1566, 3341], [4771, 9939], [3305, 9271], [8881, 9032], [1338, 4645], [4646, 8712], [2249, 10164], [1463, 10009], [5912, 7814], [103, 9737], [2367, 7941], [7571, 11506], [5171, 7779], [2363, 11205], [11105, 11220], [4971, 6967], [10134, 10531], [3568, 10031], [4230, 9184], [2922, 9856], [3514, 7516], [2423, 5971], [2010, 10528], [8276, 9982], [5375, 10211], [420, 7350], [1239, 10651], [5712, 7352], [4471, 9246], [3077, 10144], [419, 7879], [4211, 7629], [8978, 11193], [1843, 8321], [614, 7566], [2306, 3881], [9470, 10901], [5554, 9395], [9540, 10142], [5457, 9462], [574, 8167], [7267, 7688], [412, 10091], [3836, 5473], [5916, 7532], [5604, 5725], [1213, 4892], [510, 9845], [3205, 4852], [1904, 2531], [2859, 4215], [1291, 10410], [3767, 6053], [6157, 6840], [6943, 7749], [1220, 5282], [5568, 7199], [2700, 3404], [7312, 9309], [6718, 8570], [4484, 6044], [608, 3213], [129, 7120], [8701, 11450], [497, 5826], [5753, 9581], [7432, 11296], [2077, 4529], [7765, 10193], [4907, 7840], [3135, 3682], [6266, 7133], [8012, 10824], [1983, 4113], [2296, 8774], [727, 7227], [2594, 5987], [5809, 9863], [2001, 8856], [1230, 2563], [5665, 9360], [7693, 8977], [7290, 7806], [8933, 9864], [308, 1766], [3898, 8929], [443, 1402], [1036, 1916], [5702, 8838], [5747, 7857], [6820, 8042], [1402, 10375], [9712, 9979], [5342, 10023], [7692, 8725], [25, 8998], [5092, 9848], [2798, 8769], [5007, 7266], [299, 10698], [3595, 6834], [7304, 11245], [10356, 10431], [2908, 10068], [2224, 6403], [3688, 6244], [10009, 10323], [1845, 3374], [323, 9190], [1474, 4370], [4582, 11035], [4680, 8160], [2839, 8369], [8630, 9250], [2095, 10315], [6632, 10973], [531, 2696], [3521, 8174], [6038, 10234], [1830, 2692], [3515, 7605], [929, 6906], [2522, 3185], [2205, 7450], [7303, 9865], [1336, 4786], [3640, 6553], [203, 10185], [492, 3872], [7985, 9670], [3219, 3298], [271, 1429], [4433, 7128], [6406, 9290], [4028, 9294], [1108, 9473], [394, 3714], [4119, 8658], [4344, 11220], [7150, 9973], [2751, 4361], [139, 3195], [4701, 4849], [4983, 7945], [2309, 7399], [3238, 7862], [1312, 3237], [4326, 8355], [5735, 6237], [778, 8965], [1999, 3386], [3201, 11363], [3803, 10465], [8502, 9199], [9214, 11125], [1984, 7989], [3816, 9946], [925, 2195], [4751, 7945], [1552, 8709], [5525, 7339], [1039, 3236], [3944, 9542], [8015, 8707], [4837, 10348], [10783, 11140], [6361, 8742], [6739, 7382], [3497, 11482], [940, 5859], [4670, 8895], [408, 5998], [5418, 6314], [4198, 9085], [1291, 10223], [9992, 10237], [1654, 7831], [1241, 10136], [3075, 8756], [6812, 8799], [5664, 6720], [4390, 6222], [5314, 9347], [985, 5228], [336, 11198], [1611, 1718], [6029, 10790], [924, 4952], [1357, 10469], [3783, 6749], [4285, 7899], [1919, 9418], [3041, 3860], [2693, 8812], [8336, 9041], [549, 2796], [3868, 6298], [3778, 9788], [4280, 10938], [4116, 9783], [377, 6661], [4523, 7663], [4824, 8557], [296, 11368], [2924, 4399], [1375, 8392], [1468, 5173], [3553, 7576], [10060, 10125], [6230, 7639], [3645, 10548], [2241, 10758], [2091, 7781], [842, 4896], [4448, 8428], [3450, 10080], [1798, 3772], [3642, 10250], [5070, 8182], [114, 11512], [25, 5778], [3750, 9968], [5245, 9122], [2568, 2643], [1260, 9731], [821, 6651], [4845, 10134], [4026, 9085], [793, 4603], [2785, 10979], [8635, 9057], [920, 3624], [10128, 11548], [2561, 2603], [5293, 9543], [4429, 7223], [1122, 6764], [6765, 6993], [15, 4686], [1940, 3424], [63, 3976], [9833, 10095], [8711, 9991], [2467, 6324], [2897, 5154], [7850, 11352], [2174, 2315], [773, 8458], [6289, 7414], [1270, 2848], [4974, 6915], [4855, 9667], [8831, 11224], [3232, 11267], [9417, 11321], [6256, 8405], [4840, 7100], [2813, 8839], [6841, 8277], [298, 3819], [2446, 4292], [8970, 10228], [1852, 3553], [4432, 10099], [5206, 9493], [5323, 10078], [6596, 11105], [1056, 1175], [3089, 7552], [811, 4754], [8723, 10701], [9991, 10630], [2424, 8101], [5314, 9965], [2203, 6412], [10014, 11553], [8861, 9130], [8797, 11589], [5430, 11079], [1209, 8183], [3480, 7558], [4462, 7655], [2106, 9862], [6397, 7081], [5684, 11346], [1107, 7125], [3474, 6962], [3092, 3662], [7887, 9274], [253, 5523], [4967, 9453], [3618, 9370], [5557, 6286], [4858, 8005], [283, 447], [10284, 10451], [4052, 9827], [7531, 11332], [1158, 4811], [4836, 9909], [4616, 5439], [349, 2198], [1684, 10519], [190, 1387], [3648, 8431], [491, 4533], [3271, 6229], [8530, 9501], [625, 11114], [391, 4302], [2305, 9267], [2675, 8046], [4375, 10638], [4843, 6542], [6126, 7503], [2069, 5792], [83, 9784], [5778, 10203], [5532, 7518], [2068, 6321], [4652, 6193], [545, 5119], [1376, 5047], [8726, 9039], [6637, 9146], [3600, 4576], [2753, 9807], [2593, 8394], [1127, 1310], [9815, 10888], [412, 8912], [4020, 6101], [7328, 10168], [7261, 8946], [7497, 10943], [2242, 10796], [3369, 4828], [2932, 4827], [2033, 9868], [8411, 10317], [627, 10005], [1783, 9693], [6098, 9218], [8178, 11277], [5747, 7483], [7340, 10178], [459, 11360], [4287, 10767], [5190, 5845], [4536, 11471], [5745, 10793], [991, 5182], [1455, 10012], [8573, 11025], [1644, 6501], [264, 4853], [5282, 5784], [3816, 5116], [894, 10884], [4521, 6625], [1754, 10052], [811, 1989], [2490, 3704], [1507, 6388], [3253, 9325], [2775, 7071], [66, 7470], [494, 10391], [3054, 9115], [6851, 9209], [593, 3200], [6509, 9445], [2111, 7441], [1147, 1507], [18, 10812], [3416, 6471], [6707, 8679], [888, 9914], [8573, 10220], [1606, 9376], [3968, 8115], [1761, 9664], [822, 2097], [533, 1994], [7237, 11473], [2251, 2883], [4678, 6935], [6722, 9337], [1521, 3037], [9409, 10088], [3172, 9120], [1245, 3893], [407, 6958], [4825, 9614], [6201, 7356], [7932, 9261], [36, 7954], [5597, 5929], [4736, 10296], [4860, 5636], [10144, 10658], [1459, 2509], [2295, 2781], [23, 10351], [5398, 11354], [2667, 8022], [1953, 3017], [8453, 8559], [4134, 5128], [2190, 2206], [6212, 11278], [1071, 5029], [8882, 10170], [570, 7487], [671, 7539], [2290, 9203], [392, 8124], [2725, 8377], [6699, 9861], [5432, 10534], [1592, 7360], [4393, 5769], [878, 2355], [6237, 9241], [8591, 10371], [6476, 11509], [2273, 4311], [5570, 9717], [773, 3278], [2343, 8433], [3767, 8875], [4763, 11314], [5375, 5462], [154, 8309], [2071, 2268], [8089, 8790], [4937, 9400], [18, 9202], [171, 5280], [1640, 3213], [632, 4177], [2755, 2900], [7261, 8409], [7992, 8857], [201, 7374], [5557, 8327], [602, 1302], [1295, 6184], [5371, 5693], [5963, 9769], [1081, 11328], [9871, 10633], [470, 2314], [3455, 7448], [4867, 11263], [932, 4065], [2217, 2443], [5324, 8506], [6382, 11069], [381, 744], [4613, 7182], [8520, 10854], [2921, 10143], [2613, 5826], [9309, 11280], [8965, 11470], [773, 8889], [2022, 9522], [3140, 8726], [3021, 10724], [2543, 4306], [435, 10779], [2792, 5010], [2862, 9913], [1367, 4343], [2146, 4081], [5843, 11141], [7424, 11567], [5803, 7578], [205, 10475], [1105, 5282], [543, 9716], [3864, 7629], [4182, 6972], [9973, 10105], [6482, 11249], [5109, 6608], [2901, 5303], [1531, 4343], [1632, 11565], [10216, 10240], [2680, 2860], [3490, 8327], [2406, 4543], [11265, 11559], [4106, 4883], [1161, 8947], [5411, 10329], [6008, 8333], [4454, 11228], [6326, 6922], [6849, 8949], [6405, 11187], [3676, 8682], [1176, 9255], [1207, 11574], [519, 4784], [740, 3440], [1796, 8182], [4982, 10566], [110, 3044], [9793, 10295], [4870, 9601], [21, 3726], [6249, 11024], [3187, 4734], [2533, 5442], [8482, 9915], [2974, 7070], [4207, 10196], [255, 2617], [7262, 9653], [1231, 7033], [3316, 9436], [8569, 9510], [1009, 1736], [4, 2217], [9649, 10142], [7255, 9613], [6472, 8221], [3919, 4252], [3056, 11202], [1062, 8163], [384, 5067], [2314, 10565], [6629, 10090], [1441, 10411], [1020, 8691], [192, 8280], [4330, 8667], [2897, 3975], [1613, 9205], [5563, 6131], [1146, 10493], [3232, 10088], [3011, 7645], [7770, 10594], [4095, 5767], [2192, 4344], [8793, 10692], [822, 7521], [1073, 11304], [1591, 6571], [1847, 8446], [3841, 5069], [9868, 10199], [195, 4390], [1659, 8395], [2435, 4452], [2060, 9493], [2585, 7429], [7013, 9275], [10497, 11124], [5387, 6440], [3613, 5619], [2178, 7270], [3241, 6013], [1393, 2799], [5782, 6969], [10900, 11514], [5721, 8945], [2931, 8416], [1605, 4375], [8748, 10518], [4539, 11419], [7423, 9331], [1179, 5664], [7865, 10430], [4625, 11193], [6650, 7129], [184, 417], [9979, 11319], [7148, 10789], [512, 5386], [611, 9529], [3787, 7061], [760, 8871], [426, 9749], [5219, 11528], [2936, 11392], [8036, 8218], [3526, 5973], [2896, 5577], [2834, 3945], [855, 2692], [3498, 3925], [385, 10879], [509, 2055], [6264, 9695], [7633, 10430], [2220, 5937], [2342, 7620], [4670, 7529], [2400, 11008], [1182, 4026], [7529, 9326], [461, 8430], [1084, 1239], [3119, 10695], [1302, 9046], [2703, 8565], [8819, 11458], [2869, 3350], [1434, 8411], [1773, 8631], [5566, 11235], [4853, 9084], [1837, 3139], [2893, 11291], [4352, 10788], [6248, 11040], [5035, 8566], [6253, 9132], [3224, 10115], [454, 7609], [7152, 7474], [2510, 5110], [770, 9535], [8273, 10359], [104, 9482], [6265, 9142], [3632, 8597], [84, 5043], [3905, 10449], [3719, 4809], [7074, 10974], [128, 4591], [2414, 4998], [5917, 11061], [6442, 7499], [193, 2734], [1223, 6255], [4703, 9116], [6253, 7977], [8145, 10739], [4547, 7822], [7556, 10344], [5880, 8900], [4075, 8012], [467, 4407], [9993, 10920], [7619, 8414], [3727, 5050], [3172, 9901], [1923, 7770], [672, 11228], [710, 1132], [4913, 6078], [2578, 9162], [1824, 7010], [425, 7564], [7242, 9595], [4219, 8141], [478, 4946], [2594, 6662], [6310, 8080], [8108, 11207], [5959, 7099], [7675, 11325], [1164, 11286], [9655, 9770], [3394, 4244], [1773, 6671], [3928, 7561], [4169, 10656], [3298, 7165], [8786, 10489], [1441, 6841], [3249, 11410], [2611, 10399], [1336, 9299], [7198, 8892], [496, 5121], [3137, 9691], [3830, 10409], [3388, 7058], [4386, 6160], [3476, 3495], [346, 2144], [4826, 6432], [3236, 3254], [1328, 2241], [1887, 3925], [4287, 5400], [6322, 8440], [4223, 7859], [1143, 6625], [5571, 9969], [298, 2103], [531, 10942], [8668, 8928], [2231, 4866], [5503, 8522], [680, 8032], [5905, 6058], [645, 8977], [1295, 6615], [3506, 5185], [455, 8853], [2162, 6200], [7444, 11176], [8791, 10432], [231, 6893], [4530, 8891], [3580, 6073], [3062, 5144], [2151, 10922], [2588, 5261], [1469, 8084], [4666, 10657], [3298, 6360], [1304, 4075], [10703, 10813], [6472, 7229], [2335, 10450], [9465, 9972], [10053, 10142], [5261, 11217], [1899, 11051], [2737, 5734], [5792, 10853], [7342, 10468], [3479, 5590], [7150, 7265], [2912, 6674], [5659, 8230], [4959, 7095], [2194, 4179], [2655, 5328], [11285, 11518], [3374, 4261], [2818, 7012], [444, 10168], [8195, 8842], [8043, 11454], [2871, 10056], [9574, 10265], [101, 1134], [8163, 9304], [1845, 3244], [5323, 10940], [1560, 10430], [1811, 7797], [1897, 6817], [2175, 8259], [1184, 4666], [7661, 8504], [2298, 10544], [775, 9342], [5503, 6562], [530, 9511], [6065, 6265], [8738, 8838], [7556, 7929], [2172, 4928], [2196, 9486], [7120, 10782], [1415, 2505], [706, 4260], [5432, 11233], [3014, 6146], [2319, 5355], [5987, 9765], [4094, 6778], [2972, 6674], [5021, 7168], [726, 8295], [4399, 10797], [3308, 5842], [825, 6022], [409, 482], [5990, 10413], [818, 4851], [701, 10682], [659, 4040], [6109, 11044], [4889, 7399], [1522, 6889], [7411, 10557], [1802, 9158], [2404, 7506], [1246, 11155], [4976, 10027], [3916, 10047], [6631, 7184], [2491, 3718], [3707, 9873], [8306, 11409], [6224, 6271], [10475, 10507], [1149, 10441], [6715, 8760], [1489, 11263], [1353, 7238], [1639, 11207], [1018, 2229], [2378, 11546], [475, 4461], [845, 3240], [1218, 1536], [6006, 10141], [2468, 7275], [4525, 5378], [3155, 11588], [9963, 10867], [2955, 10776], [1988, 6823], [498, 5761], [4820, 8709], [4573, 8051], [9767, 10928], [182, 802], [7246, 10624], [4476, 8118], [3269, 8842], [5277, 9335], [1760, 5094], [679, 11407], [2164, 3457], [3323, 9078], [2219, 3164], [1291, 5555], [1115, 7773], [2481, 10489], [7617, 9978], [1882, 10160], [2505, 2969], [5717, 6574], [2191, 10915], [598, 1804], [3056, 9673], [3397, 3550], [638, 4586], [5149, 10439], [4524, 8135], [5291, 6358], [10898, 11094], [5760, 9280], [10054, 10180], [4106, 9315], [4171, 9710], [1480, 5053], [2391, 10572], [3387, 8847], [2919, 6527], [7623, 9769], [1021, 10366], [6967, 8152], [7550, 10984], [6935, 9368], [6276, 10486], [7212, 7956], [5283, 5312], [6669, 10188], [2536, 7893], [4368, 5686], [4552, 8247], [595, 3734], [2678, 10228], [7915, 9769], [3995, 10773], [2222, 8642], [221, 10848], [536, 3504], [1716, 3586], [6039, 10142], [8811, 10442], [6724, 7212], [3326, 10799], [5041, 8007], [10519, 10643], [3640, 6236], [2117, 11450], [308, 7410], [5999, 11093], [1228, 5875], [1250, 8108], [4498, 7206], [1045, 4670], [6671, 9456], [107, 6373], [6834, 11140], [6913, 9743], [4583, 6755], [2752, 7652], [1871, 9889], [7571, 10652], [4142, 9264], [5520, 7833], [4553, 8044], [8880, 11336], [3708, 5774], [125, 3919], [1621, 10091], [2397, 6148], [1772, 10260], [2890, 9464], [2898, 7827], [6781, 6941], [2758, 10476], [6501, 8055], [5649, 8778], [236, 11455], [4119, 4153], [5022, 5647], [142, 4623], [6792, 7480], [3815, 7125], [3709, 9358], [259, 2175], [561, 6677], [5636, 7388], [1152, 6364], [1333, 2992], [2114, 2803], [8192, 10130], [5935, 8209], [2237, 7340], [5043, 10257], [6748, 6777], [9514, 10295], [3470, 8187], [6561, 7301], [3970, 6258], [9078, 10115], [986, 11148], [417, 2360], [7201, 7661], [2192, 10199], [1633, 2099], [6714, 8297], [3438, 6397], [6247, 8831], [1047, 6139], [9223, 9715], [1291, 8751], [1162, 10815], [668, 3110], [636, 7736], [1875, 5769], [3652, 8019], [200, 4173], [938, 8074], [8961, 10654], [6070, 10073], [867, 9362], [1624, 5369], [1123, 7073], [4669, 9800], [7258, 7764], [2955, 9784], [9426, 10424], [548, 4132], [7249, 10684], [7968, 9617], [7938, 10906], [712, 3008], [8805, 10491], [3105, 3312], [7297, 10351], [4867, 10165], [9349, 10362], [5529, 8564], [2318, 8567], [855, 11580], [4088, 9646], [2434, 9681], [355, 10476], [1651, 6037], [7224, 11162], [6532, 7636], [8407, 8509], [2059, 10154], [3, 6237], [2303, 10514], [3053, 5350], [1463, 7090], [4071, 11520], [3608, 9544], [5845, 10089], [6927, 7384], [5373, 10279], [1956, 3990], [1859, 10473], [6530, 7159], [738, 6807], [8879, 11328], [3655, 9740], [8080, 9403], [3130, 6886], [10098, 10584], [4015, 7050], [7196, 9090], [3422, 9919], [841, 9564], [6660, 8329], [6107, 7591], [1315, 2250], [126, 10750], [4670, 6163], [3119, 9329], [4604, 7795], [1889, 4242], [1157, 4293], [832, 8697], [8175, 11518], [4813, 4936], [9699, 9912], [4759, 8083], [9074, 9860], [667, 10323], [2510, 10160], [2937, 3057], [3136, 6650], [3779, 6527], [7767, 10353], [7573, 10487], [3117, 5095], [1025, 1521], [5955, 6015], [1461, 10719], [248, 8245], [10115, 10887], [3215, 11265], [6257, 10517], [2988, 6378], [8249, 10477], [1143, 2681], [3577, 9402], [2885, 8128], [1933, 10125], [2955, 7369], [6815, 11195], [4687, 5712], [5805, 11332], [1204, 6717], [9289, 10929], [1047, 2569], [5623, 6565], [640, 1656], [8143, 8896], [3193, 6379], [2914, 6964], [1968, 8806], [1508, 7101], [2005, 7153], [2469, 9731], [2345, 7975], [6765, 7294], [3019, 10171], [104, 10694], [1095, 5619], [1803, 6645], [6073, 7151], [8579, 11304], [833, 7312], [29, 11459], [215, 2015], [6925, 11339], [987, 11162], [4543, 8161], [1668, 7359], [5594, 10307], [2796, 11415], [3546, 6251], [79, 1373], [459, 1594], [2410, 7215], [6183, 6915], [4744, 11076], [10470, 10808], [1356, 2519], [1724, 7641], [2536, 7519], [253, 6629], [7671, 9035], [7855, 10842], [10558, 10628], [2624, 6585], [2656, 4588], [4767, 6714], [3963, 10861], [8464, 8856], [372, 10643], [7373, 8065], [5046, 8758], [1157, 11327], [5233, 10836], [8215, 9283], [4504, 4799], [6656, 8424], [3987, 5970], [4357, 4749], [5009, 9630], [4004, 9357], [7711, 11443], [6868, 10000], [4041, 6206], [858, 1087], [3786, 4933], [5244, 11375], [1574, 6892], [982, 9232], [638, 2252], [3850, 5857], [3972, 7540], [1914, 6960], [3430, 6991], [8815, 9436], [2212, 9808], [4483, 9183], [2654, 3737], [7325, 7593], [4295, 9132], [291, 5527], [9674, 11008], [7315, 9534], [2523, 8357], [3330, 3727], [814, 4521], [437, 1565], [51, 7945], [3103, 10137], [4037, 10944], [7588, 8353], [3331, 9964], [2043, 2243], [24, 3089], [2515, 11098], [2971, 11149], [4789, 9990], [3502, 11539], [1358, 4769], [1982, 7602], [8052, 10150], [4910, 11448], [223, 2925], [9441, 11537], [1540, 9886], [4926, 8948], [282, 9921], [1218, 7391], [3300, 3861], [7637, 7841], [3344, 10549], [3549, 6817], [3647, 8106], [595, 8166], [8782, 9622], [5358, 7824], [1151, 9552], [2398, 8604], [2307, 2824], [6038, 10966], [1088, 2033], [652, 4886], [779, 11077], [8920, 11434], [3158, 6787], [979, 10384], [6154, 9047], [1362, 3706], [2035, 6458], [2403, 5164], [6208, 9283], [2283, 9943], [294, 7248], [9137, 10321], [6298, 11428], [5740, 10346], [8725, 9064], [7326, 9618], [8091, 11178], [7571, 8668], [4861, 9596], [121, 10861], [5660, 8488], [5250, 10310], [4871, 7281], [4721, 9966], [7959, 8376], [5779, 9119], [1101, 4846], [3685, 8882], [5589, 6743], [5778, 8894], [2473, 2846], [4240, 6660], [7142, 9285], [222, 11293], [330, 1936], [2966, 6162], [561, 4343], [882, 6613], [5198, 5582], [3183, 8082], [7563, 10254], [1306, 11263], [1903, 2851], [5793, 10306], [9606, 10933], [6250, 7549], [558, 10811], [10821, 11201], [2791, 6696], [1180, 9811], [3162, 9083], [6400, 7493], [6806, 8181], [1145, 10756], [1331, 3564], [8077, 8381], [1198, 10390], [5121, 6651], [1234, 10047], [5752, 9901], [2261, 7635], [710, 10801], [1724, 3266], [3404, 7835], [5458, 8673], [7975, 11487], [230, 10349], [5175, 10270], [4774, 9926], [3396, 4941], [1094, 9636], [968, 4801], [3734, 9817], [3168, 11126], [584, 1428], [9398, 9425], [1081, 1480], [767, 10180], [834, 4986], [2241, 8457], [8454, 10559], [2421, 7112], [7061, 8649], [2422, 4304], [460, 5684], [2162, 2687], [1513, 8657], [1974, 2636], [6855, 7268], [8479, 9276], [2844, 8908], [5337, 6410], [3744, 10885], [7916, 10102], [3475, 5742], [3564, 9197], [2602, 6342], [1335, 2127], [6915, 7669], [3178, 8380], [3052, 9961], [4724, 7499], [8151, 8814], [2666, 9925], [4419, 7617], [212, 10843], [824, 3493], [832, 7518], [3633, 5927], [964, 9889], [4383, 10589], [1699, 2939], [4620, 10532], [550, 7805], [6178, 7002], [3155, 6302], [7559, 11504], [5405, 11216], [5333, 5486], [2793, 11548], [9202, 11310], [3603, 10599], [2342, 6953], [922, 6630], [1543, 2776], [352, 11203], [4958, 6740], [3430, 5194], [933, 3786], [1063, 9494], [7539, 10478], [4917, 10122], [4920, 9639], [254, 465], [2247, 4033], [862, 2041], [8184, 10401], [5481, 9117], [219, 11209], [1031, 6923], [2669, 8637], [3412, 6466], [5466, 7304], [3379, 4074], [4996, 8321], [7463, 7608], [5663, 7818], [794, 6229], [1795, 9012], [6965, 7331], [1762, 6620], [2097, 2180], [194, 5675], [2745, 7319], [5112, 8654], [7333, 8666], [562, 7010], [598, 6667], [4827, 9424], [5892, 9748], [66, 9812], [1253, 4649], [780, 1985], [8930, 10756], [3892, 8392], [848, 6815], [755, 4372], [8783, 11460], [1549, 4418], [595, 9752], [4759, 4944], [3733, 10964], [1523, 6580], [1203, 7164], [5255, 6279], [1946, 4993], [490, 9177], [5130, 10714], [2601, 6385], [791, 5907], [6895, 7285], [4995, 10297], [2340, 5297], [1667, 6709], [2570, 8203], [5095, 10878], [3459, 11519], [3161, 8644], [3084, 5980], [4398, 9260], [509, 9577], [3750, 5252], [8409, 11003], [4610, 10082], [4419, 11268], [7409, 9576], [3400, 4873], [5208, 5278], [9468, 10758], [7123, 8990], [476, 10568], [11388, 11404], [4662, 7239], [5720, 6392], [8084, 8210], [2927, 8598], [864, 3510], [1304, 7946], [4139, 4431], [1023, 7704], [8805, 11353], [7277, 9807], [1305, 4384], [3251, 3999], [7146, 11044], [3317, 11412], [115, 9249], [8107, 10264], [3322, 6094], [4447, 5715], [6517, 7086], [6522, 8184], [5847, 8769], [1042, 2469], [3624, 5678], [487, 8074], [1108, 10636], [2528, 3789], [10106, 10614], [2570, 7398], [3117, 7567], [2181, 10097], [10162, 10923], [981, 7828], [3084, 5175], [6012, 9021], [5867, 6388], [4205, 8060], [8415, 10767], [8322, 8324], [2463, 5996], [2831, 10364], [3242, 9898], [7937, 11142], [2987, 8625], [3142, 6284], [2028, 9451], [239, 3434], [8937, 9536], [5066, 7049], [7832, 10567], [2978, 10010], [6089, 7147], [4540, 11140], [3042, 5299], [3255, 6346], [8029, 11081], [4197, 7768], [6487, 11357], [9045, 10008], [3656, 10827], [829, 7033], [3501, 6752], [796, 4641], [6623, 7431], [2377, 3569], [4921, 10458], [6232, 7051], [5650, 10079], [3862, 7670], [603, 8383], [8158, 8643], [1991, 9168], [4140, 6860], [136, 2501], [1404, 9600], [8680, 11199], [1221, 9893], [1489, 4985], [3426, 4484], [5131, 7420], [2541, 9985], [1864, 7491], [2387, 9518], [367, 1094], [1153, 2003], [4138, 6383], [4191, 9427], [2820, 6367], [2107, 10632], [4686, 9406], [5844, 9921], [4651, 11105], [3408, 5756], [574, 11371], [4627, 9176], [706, 910], [10095, 11124], [759, 10370], [1597, 11469], [74, 10267], [2560, 7352], [4184, 8606], [3315, 6696], [3864, 6938], [287, 4898], [7998, 10589], [4584, 9479], [5957, 7704], [6227, 11537], [501, 8799], [6915, 8905], [1750, 5268], [8935, 10913], [9031, 11375], [877, 5114], [2250, 3339], [8252, 10856], [1616, 5453], [5287, 7128], [3707, 9556], [9462, 10780], [8340, 9922], [799, 6362], [952, 3194], [4596, 6456], [6342, 10147], [8465, 8870], [3873, 10033], [3007, 7640], [3969, 4079], [8455, 11565], [1292, 6645], [2663, 4043], [4676, 11296], [3970, 10316], [104, 8173], [1747, 7979], [1946, 11572], [263, 5951], [8597, 10867], [4142, 8329], [1961, 2431], [1926, 9792], [5761, 6206], [2175, 6332], [9083, 9979], [2366, 3648], [399, 11100], [9017, 9359], [4787, 9383], [4842, 9090], [1759, 1923], [203, 11161], [6333, 11508], [3025, 4408], [9108, 11325], [1352, 6645], [1345, 5474], [7881, 10673], [4948, 5702], [3031, 5327], [6629, 8244], [2859, 5809], [9555, 11263], [185, 3011], [939, 4382], [3236, 4978], [6875, 8650], [2975, 3890], [712, 2878], [4347, 10558], [400, 7487], [6491, 7906], [801, 1415], [4376, 9798], [3854, 10625], [4035, 7253], [3625, 10573], [113, 1014], [4208, 4737], [2132, 9213], [3596, 9054], [1536, 7647], [5746, 10354], [3176, 3772], [4399, 4682], [5514, 10785], [6042, 6740], [1503, 6009], [5614, 11366], [1469, 9808], [404, 3822], [2836, 9716], [992, 3992], [5942, 6509], [5329, 7972], [2423, 5605], [1301, 4747], [251, 6209], [7379, 11320], [903, 8084], [5259, 9862], [9118, 11588], [835, 8889], [1425, 10640], [763, 907], [6751, 8718], [3129, 6935], [3659, 3717], [2910, 8325], [3947, 5847], [6400, 11120], [3090, 6980], [920, 5405], [4410, 11206], [4646, 7541], [2118, 10230], [2252, 7012], [4215, 8486], [2785, 9727], [3991, 8778], [5261, 5370], [5708, 6813], [902, 3294], [5666, 6587], [0, 11070], [1557, 4686], [1935, 8244], [9125, 10823], [4577, 11504], [7065, 9416], [2051, 5194], [564, 10065], [4843, 9933], [8743, 10906], [6150, 9790], [7682, 11455], [8725, 9576], [700, 5415], [4098, 5992], [1085, 5980], [2060, 2654], [1412, 7314], [5307, 8697], [6984, 7333], [3191, 9610], [1224, 11400], [808, 2854], [2123, 6736], [4972, 7845], [4571, 7501], [125, 2797], [10054, 10481], [7841, 8078], [4639, 5915], [4470, 10078], [20, 7884], [273, 6078], [3883, 9729], [2732, 8133], [3749, 7285], [7209, 8740], [3260, 10504], [3039, 8815], [3994, 10499], [6487, 8755], [702, 11072], [2065, 2193], [517, 9040], [3740, 6418], [5928, 10454], [2810, 5730], [134, 9275], [3706, 10971], [6672, 11137], [841, 10857], [3516, 10093], [2269, 2373], [6066, 8883], [899, 8583], [3915, 8112], [1156, 9148], [4081, 7061], [1359, 9507], [5760, 8776], [5161, 9945], [6372, 9340], [7251, 10440], [2726, 2999], [6841, 8098], [544, 7079], [1051, 8573], [8336, 10635], [10380, 10785], [5302, 9022], [6489, 11029], [4529, 6820], [4615, 8092], [9627, 9989], [4212, 4669], [3576, 4458], [3403, 6193], [8034, 9896], [9275, 11385], [466, 1480], [5531, 7919], [2857, 7373], [5324, 10824], [1391, 6705], [7122, 7535], [5711, 6574], [391, 5278], [6777, 9752], [11032, 11478], [1693, 4791], [6613, 8597], [4474, 9341], [5988, 8545], [5463, 9855], [8895, 11514], [6987, 10501], [131, 628], [5901, 9300], [10533, 10976], [2964, 7620], [16, 6505], [854, 1188], [2376, 10833], [2130, 7394], [3183, 3951], [4120, 10691], [6634, 9824], [4459, 10911], [2736, 5891], [738, 1952], [333, 4118], [9809, 10514], [2059, 9032], [10736, 10904], [4876, 5722], [1956, 5901], [4788, 9285], [7188, 11514], [10600, 11043], [9483, 11283], [2205, 2441], [11480, 11587], [10850, 11191], [10891, 11192], [867, 10818], [3140, 6856], [1423, 2405], [1077, 8184], [7338, 11458], [1408, 4002], [1416, 11033], [2481, 4187], [4840, 5661], [6176, 10420], [257, 8041], [9496, 11114], [4513, 6205], [3334, 9731], [7253, 10754], [5771, 9553], [2487, 4382], [5040, 9105], [2363, 2626], [2397, 7872], [188, 9375], [778, 3956], [6686, 8428], [5540, 7176], [9244, 11243], [992, 8611], [7468, 9595], [2265, 8884], [928, 11070], [2275, 9572], [839, 10998], [392, 3139], [1450, 6456], [4404, 5107], [859, 5988], [5341, 6185], [4692, 5739], [948, 4525], [5810, 9107], [1978, 5794], [1572, 5106], [6174, 10323], [2564, 5137], [1473, 10762], [8942, 9750], [1253, 2128], [1626, 4588], [2376, 5840], [3121, 4496], [2434, 9982], [3900, 4234], [3998, 4769], [1475, 8556], [9401, 11203], [9440, 11131], [992, 10839], [1690, 8895], [1867, 3869], [9077, 11264], [6152, 11099], [6344, 7105], [2043, 3536], [313, 10901], [797, 6584], [6779, 11197], [3293, 8521], [2352, 4291], [149, 3330], [897, 7919], [6205, 7700], [2664, 5317], [2354, 10753], [331, 2812], [3260, 9512], [2665, 5919], [3411, 9681], [2227, 5693], [4594, 7782], [1727, 11005], [2847, 11036], [4366, 8332], [593, 2216], [536, 5846], [619, 1185], [2750, 11103], [319, 1647], [163, 353], [5412, 9353], [7292, 9072], [4200, 9733], [1922, 6935], [3606, 8994], [7463, 9893], [3199, 11087], [3856, 6890], [52, 5625], [4977, 9775], [1543, 7289], [3566, 9568], [1260, 11138], [737, 2695], [787, 2058], [138, 3864], [4403, 10442], [7204, 8851], [2254, 6334], [14, 6272], [1254, 10569], [4557, 7876], [11, 5974], [3006, 11042], [1416, 8618], [845, 9583], [6822, 8934], [8775, 9720], [2676, 7905], [4828, 11530], [1132, 5826], [8589, 9715], [7345, 7928], [3890, 10981], [5763, 9529], [7248, 7995], [6657, 7527], [6531, 8354], [1369, 8398], [645, 1951], [614, 2638], [1080, 1879], [140, 6919], [6399, 10120], [3699, 8353], [3035, 8373], [5251, 8041], [3902, 7958], [5433, 9775], [3700, 11207], [2787, 9025], [7308, 8396], [2224, 3435], [6623, 8293], [6520, 11578], [4005, 8810], [856, 8937], [2616, 9328], [9876, 11148], [5111, 7630], [10266, 10579], [5942, 7558], [2843, 5520], [407, 2136], [2545, 7583], [7352, 8294], [4050, 8179], [1963, 4949], [745, 1377], [7654, 8632], [1489, 9230], [4816, 10341], [2978, 10067], [2362, 5597], [6969, 11158], [1761, 3687], [4911, 6414], [1981, 5905], [4104, 5382], [5907, 8853], [1862, 10909], [2911, 5812], [6545, 8386], [8112, 9860], [3501, 6809], [8354, 9393], [2056, 10401], [4738, 10808], [406, 756], [5209, 10393], [3335, 8210], [8593, 8628], [2161, 11326], [2347, 4134], [344, 9677], [3124, 7209], [1837, 8758], [8755, 10087], [498, 695], [7839, 9859], [3675, 8251], [5566, 7405], [7563, 7709], [239, 2686], [56, 3733], [3049, 7974], [298, 9682], [4410, 4684], [7436, 9065], [2290, 9642], [301, 2783], [4845, 8776], [299, 6120], [4344, 10480], [3943, 10136], [4934, 7313], [7124, 8012], [18, 10796], [8615, 9676], [6242, 10024], [2653, 4217], [7267, 10949], [7736, 9707], [4026, 8077], [1999, 9062], [6173, 9106], [4117, 7441], [9194, 9733], [4547, 7025], [8072, 8875], [1531, 10125], [9994, 10725], [11078, 11099], [778, 8575], [1645, 3996], [8393, 10394], [769, 7331], [4036, 8391], [3788, 4125], [902, 10304], [9610, 10735], [1819, 9252], [3475, 9263], [3757, 5943], [2909, 4156], [3406, 4962], [2750, 9761], [5711, 9583], [3598, 11548], [2973, 11496], [1791, 4171], [6266, 7361], [8, 7768], [2069, 9777], [5621, 10040], [281, 952], [8725, 10170], [4108, 8802], [3736, 6944], [905, 6414], [7343, 11078], [2616, 10296], [6377, 10733], [5508, 8069], [460, 5017], [6654, 7069], [6344, 8341], [1640, 9263], [10418, 11187], [1832, 9433], [3472, 5558], [2668, 3289], [9199, 11150], [2263, 5455], [4625, 11364], [5895, 7956], [724, 3750], [1604, 9956], [2134, 6738], [2783, 4932], [10853, 11465], [478, 10110], [4903, 9773], [9872, 10088], [5362, 7843], [2874, 7679], [2559, 8607], [4216, 6591], [1525, 8350], [2710, 8776], [623, 9710], [2742, 5281], [5192, 6119], [1551, 6538], [2932, 11040], [4391, 8285], [7529, 9497], [8747, 10063], [3661, 4275], [3953, 8059], [2547, 7442], [1745, 6754], [1554, 3022], [1829, 11363], [1421, 7596], [8803, 10345], [2237, 9845], [4066, 8875], [2161, 4373], [2911, 5625], [7854, 11135], [9232, 9704], [7823, 9570], [8948, 9945], [3377, 4866], [2542, 7448], [417, 1482], [3775, 11328], [4921, 10328], [1275, 3233], [5118, 10842], [3181, 4173], [3680, 5806], [3585, 8952], [4364, 7936], [4923, 9620], [9255, 11004], [3674, 10872], [1427, 9639], [2122, 4768], [2979, 10081], [2055, 3546], [5694, 6464], [716, 8315], [88, 4582], [3458, 9527], [2135, 8413], [6661, 8882], [10233, 10578], [5904, 7213], [5136, 11017], [3858, 3984], [5155, 8815], [965, 8238], [10633, 11451], [5585, 8399], [2957, 8198], [961, 5086], [333, 5517], [7805, 10438], [11031, 11497], [6702, 8132], [9539, 9608], [2543, 6868], [1349, 10860], [4568, 9220], [7794, 10279], [4962, 6141], [2308, 6247], [1690, 7366], [9291, 9479], [4210, 9697], [696, 3475], [2308, 9630], [2750, 10729], [9097, 9613], [95, 1565], [504, 6688], [5008, 8364], [4767, 6023], [3302, 8209], [9236, 10896], [6655, 11295], [1765, 8829], [5136, 10212], [1569, 8136], [1381, 8839], [483, 1273], [2348, 5622], [2219, 3522], [5343, 11444], [4863, 7609], [6210, 6865], [2915, 7921], [9229, 10075], [7080, 10131], [2216, 3224], [4524, 11526], [4806, 10458], [2559, 9225], [945, 6407], [6134, 11192], [1158, 7454], [8501, 10275], [342, 3670], [371, 9326], [1343, 6453], [6698, 10187], [2734, 10919], [3203, 9677], [1084, 5411], [6749, 9371], [3480, 9396], [3941, 10545], [1355, 9846], [801, 2090], [3695, 7106], [3724, 5592], [6272, 9971], [1261, 9430], [3498, 3559], [1765, 4991], [2479, 10750], [4867, 10710], [3314, 10797], [4453, 8626], [3742, 9554], [5524, 5732], [4330, 9724], [2181, 9780], [5429, 8878], [8569, 10917], [2152, 4878], [3992, 6696], [6323, 6876], [6199, 8530], [4354, 11249], [870, 2984], [10083, 11252], [5759, 7477], [3911, 4263], [2983, 10818], [4628, 7287], [493, 6417], [9049, 9460], [1150, 2220], [1571, 10386], [7558, 11179], [1416, 2901], [2047, 10315], [9444, 9989], [7428, 8854], [270, 11448], [3004, 5629], [6455, 11502], [1541, 5232], [223, 10878], [2635, 3288], [4149, 7410], [4496, 10901], [10129, 10442], [1469, 6295], [879, 3046], [6109, 7832], [10180, 10380], [4731, 6230], [182, 4811], [5999, 6913], [2549, 10310], [9586, 9641], [4732, 9838], [1315, 9211], [6721, 10281], [3330, 4459], [1157, 1455], [0, 8712], [6029, 8253], [6870, 8869], [487, 2414], [8743, 11581], [5252, 8561], [3033, 3714], [637, 2358], [7496, 9496], [6623, 9342], [8703, 11401], [6647, 7484], [3784, 4787], [2263, 3658], [72, 3488], [2840, 5921], [40, 4704], [2219, 10906], [9657, 10581], [3464, 9131], [6439, 9413], [625, 10992], [5635, 11308], [7748, 9343], [160, 6691], [714, 3113], [5602, 8916], [686, 5983], [472, 6963], [6561, 7309], [4042, 8586], [3548, 5045], [2735, 5696], [3829, 10922], [1083, 5804], [2571, 10203], [6019, 10143], [10850, 11248], [387, 624], [1510, 10752], [1911, 5434], [2936, 8611], [1729, 9335], [6706, 7259], [8106, 9559], [2034, 6938], [2213, 8401], [7517, 9918], [2717, 3962], [26, 5721], [1738, 3412], [32, 2503], [3855, 4572], [7, 11306], [36, 9792], [3739, 4589], [843, 5162], [7899, 8707], [583, 9961], [6001, 8382], [2145, 4675], [3827, 10071], [897, 5398], [2767, 10091], [7283, 9872], [5442, 10081], [8109, 9456], [3816, 11410], [2021, 5548], [2790, 4598], [3849, 10769], [7832, 7835], [5924, 6068], [83, 9207], [1969, 8017], [1530, 11353], [922, 6744], [4923, 10051], [1778, 2006], [3713, 7848], [4988, 8948], [2689, 7525], [4479, 6627], [7262, 7840], [10240, 11049], [6919, 10884], [8306, 8815], [2148, 4168], [1329, 7283], [4699, 5812], [5077, 10868], [960, 4942], [1361, 6040], [4479, 6977], [3887, 9317], [958, 5246], [7988, 10576], [240, 2751], [1911, 10240], [7231, 11536], [5806, 10869], [7289, 8508], [6664, 9210], [4590, 10349], [9103, 9859], [660, 10665], [409, 6882], [125, 707], [5355, 9657], [2206, 9784], [8190, 11060], [5317, 6921], [3143, 10862], [1623, 6925], [7925, 8318], [1075, 8813], [7423, 10551], [3536, 7531], [79, 9757], [5769, 10586], [8755, 11404], [326, 3972], [830, 5195], [6296, 6316], [2008, 9368], [518, 4142], [1543, 10729], [538, 4794], [856, 3383], [2191, 5288], [2230, 10878], [379, 10399], [1597, 10965], [1024, 4687], [2405, 2773], [1861, 2151], [5852, 9658], [1329, 2290], [9709, 9803], [5170, 9072], [2393, 4641], [9775, 11554], [718, 3799], [5783, 10992], [5975, 11162], [6211, 6743], [3358, 4734], [1538, 2814], [4719, 7106], [2384, 10190], [304, 1715], [8798, 11050], [5966, 6912], [6334, 11280], [2146, 11530], [327, 386], [6025, 7492], [493, 8003], [6424, 11173], [165, 2310], [4564, 7168], [5186, 6922], [3656, 8713], [160, 5349], [2477, 7321], [1940, 7116], [1790, 10555], [682, 7151], [3204, 3893], [7102, 10455]])) + + +-- Grouping test cases +tests :: Test +tests = TestList [TestLabel "Test1" test1, TestLabel "Test2" test2, TestLabel "Test3" test3] + +-- Running the tests +main :: IO Counts +main = runTestTT tests diff --git a/construct_2d_grid_matching_graph_layout/java_tests/Main.java b/construct_2d_grid_matching_graph_layout/java_tests/Main.java new file mode 100644 index 0000000000000000000000000000000000000000..45b534fe01073d11ef8145c7e2de3f1d5db39086 --- /dev/null +++ b/construct_2d_grid_matching_graph_layout/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(new ArrayList<>(Arrays.asList(new ArrayList<>(Arrays.asList(3,1)),new ArrayList<>(Arrays.asList(2,0)))), constructGridLayout(4, new ArrayList<>(Arrays.asList(new ArrayList<>(Arrays.asList(0,1)),new ArrayList<>(Arrays.asList(0,2)),new ArrayList<>(Arrays.asList(1,3)),new ArrayList<>(Arrays.asList(2,3)))))); +} +@Test +public void test2() { + assertEquals(new ArrayList<>(Arrays.asList(new ArrayList<>(Arrays.asList(4,2,3,1,0)))), constructGridLayout(5, new ArrayList<>(Arrays.asList(new ArrayList<>(Arrays.asList(0,1)),new ArrayList<>(Arrays.asList(1,3)),new ArrayList<>(Arrays.asList(2,3)),new ArrayList<>(Arrays.asList(2,4)))))); +} +@Test +public void test3() { + assertEquals(new ArrayList<>(Arrays.asList(new ArrayList<>(Arrays.asList(8,6,3)),new ArrayList<>(Arrays.asList(7,4,2)),new ArrayList<>(Arrays.asList(1,0,5)))), constructGridLayout(9, new ArrayList<>(Arrays.asList(new ArrayList<>(Arrays.asList(0,1)),new ArrayList<>(Arrays.asList(0,4)),new ArrayList<>(Arrays.asList(0,5)),new ArrayList<>(Arrays.asList(1,7)),new ArrayList<>(Arrays.asList(2,3)),new ArrayList<>(Arrays.asList(2,4)),new ArrayList<>(Arrays.asList(2,5)),new ArrayList<>(Arrays.asList(3,6)),new ArrayList<>(Arrays.asList(4,6)),new ArrayList<>(Arrays.asList(4,7)),new ArrayList<>(Arrays.asList(6,8)),new ArrayList<>(Arrays.asList(7,8)))))); +} + +} diff --git a/construct_2d_grid_matching_graph_layout/meta.json b/construct_2d_grid_matching_graph_layout/meta.json new file mode 100644 index 0000000000000000000000000000000000000000..92797a83f11639a4a1d409ac169176ca3fd639bc --- /dev/null +++ b/construct_2d_grid_matching_graph_layout/meta.json @@ -0,0 +1,332533 @@ +{ + "id": 3578, + "name": "construct_2d_grid_matching_graph_layout", + "difficulty": "Hard", + "link": "https://leetcode.com/problems/construct-2d-grid-matching-graph-layout/", + "date": "2024-09-29 00:00:00", + "task_description": "You are given a 2D integer array `edges` representing an **undirected** graph having `n` nodes, where `edges[i] = [ui, vi]` denotes an edge between nodes `ui` and `vi`. Construct a 2D grid that satisfies these conditions: The grid contains **all nodes** from `0` to `n - 1` in its cells, with each node appearing exactly **once**. Two nodes should be in adjacent grid cells (**horizontally** or **vertically**) **if and only if** there is an edge between them in `edges`. It is guaranteed that `edges` can form a 2D grid that satisfies the conditions. Return a 2D integer array satisfying the conditions above. If there are multiple solutions, return _any_ of them. **Example 1:** **Input:** n = 4, edges = [[0,1],[0,2],[1,3],[2,3]] **Output:** [[3,1],[2,0]] **Explanation:** **Example 2:** **Input:** n = 5, edges = [[0,1],[1,3],[2,3],[2,4]] **Output:** [[4,2,3,1,0]] **Explanation:** **Example 3:** **Input:** n = 9, edges = [[0,1],[0,4],[0,5],[1,7],[2,3],[2,4],[2,5],[3,6],[4,6],[4,7],[6,8],[7,8]] **Output:** [[8,6,3],[7,4,2],[1,0,5]] **Explanation:** **Constraints:** `2 <= n <= 5 * 104` `1 <= edges.length <= 105` `edges[i] = [ui, vi]` `0 <= ui < vi < n` All the edges are distinct. The input is generated such that `edges` can form a 2D grid that satisfies the conditions.", + "public_test_cases": [ + { + "label": "Example 1", + "input": "n = 4, edges = [[0,1],[0,2],[1,3],[2,3]]", + "output": "[[3,1],[2,0]] " + }, + { + "label": "Example 2", + "input": "n = 5, edges = [[0,1],[1,3],[2,3],[2,4]]", + "output": "[[4,2,3,1,0]] " + }, + { + "label": "Example 3", + "input": "n = 9, edges = [[0,1],[0,4],[0,5],[1,7],[2,3],[2,4],[2,5],[3,6],[4,6],[4,7],[6,8],[7,8]]", + "output": "[[8,6,3],[7,4,2],[1,0,5]] " + } + ], + "private_test_cases": [ + { + "input": [ + 11591, + [ + [ + 1238, + 8537 + ], + [ + 4450, + 5726 + ], + [ + 341, + 10241 + ], + [ + 4445, + 5382 + ], + [ + 4722, + 7353 + ], + [ + 9424, + 9768 + ], + [ + 2695, + 8338 + ], + [ + 2242, + 7804 + ], + [ + 4943, + 6009 + ], + [ + 2300, + 4776 + ], + [ + 3354, + 6439 + ], + [ + 448, + 10488 + ], + [ + 1725, + 7470 + ], + [ + 1004, + 5458 + ], + [ + 4997, + 9628 + ], + [ + 6882, + 11219 + ], + [ + 5021, + 11153 + ], + [ + 3524, + 8139 + ], + [ + 7163, + 11057 + ], + [ + 3044, + 10720 + ], + [ + 1717, + 7178 + ], + [ + 2039, + 2533 + ], + [ + 2642, + 3735 + ], + [ + 3154, + 5603 + ], + [ + 330, + 7742 + ], + [ + 743, + 3939 + ], + [ + 2725, + 8873 + ], + [ + 1725, + 3282 + ], + [ + 6991, + 8479 + ], + [ + 1225, + 6342 + ], + [ + 860, + 1491 + ], + [ + 5249, + 5661 + ], + [ + 1670, + 6958 + ], + [ + 1593, + 5048 + ], + [ + 9512, + 11412 + ], + [ + 8447, + 11088 + ], + [ + 6, + 5551 + ], + [ + 2657, + 5147 + ], + [ + 3777, + 5178 + ], + [ + 4022, + 10644 + ], + [ + 2341, + 5850 + ], + [ + 8662, + 9929 + ], + [ + 3698, + 5070 + ], + [ + 10771, + 11228 + ], + [ + 5332, + 7766 + ], + [ + 8974, + 10955 + ], + [ + 7066, + 9188 + ], + [ + 245, + 8169 + ], + [ + 5441, + 7709 + ], + [ + 4224, + 7745 + ], + [ + 4569, + 11163 + ], + [ + 4774, + 5933 + ], + [ + 7184, + 8096 + ], + [ + 3379, + 9612 + ], + [ + 6118, + 10553 + ], + [ + 1881, + 7154 + ], + [ + 6695, + 10564 + ], + [ + 3472, + 6770 + ], + [ + 3589, + 7355 + ], + [ + 106, + 2698 + ], + [ + 4889, + 6041 + ], + [ + 6363, + 10734 + ], + [ + 1943, + 4999 + ], + [ + 2529, + 11512 + ], + [ + 3900, + 8910 + ], + [ + 5015, + 7843 + ], + [ + 3205, + 7365 + ], + [ + 629, + 8108 + ], + [ + 3949, + 8048 + ], + [ + 3054, + 4163 + ], + [ + 6158, + 6545 + ], + [ + 1374, + 5229 + ], + [ + 832, + 11096 + ], + [ + 149, + 1240 + ], + [ + 1683, + 6738 + ], + [ + 680, + 876 + ], + [ + 1853, + 3951 + ], + [ + 2599, + 5461 + ], + [ + 5967, + 9579 + ], + [ + 577, + 1128 + ], + [ + 6710, + 7408 + ], + [ + 2510, + 6143 + ], + [ + 8958, + 11495 + ], + [ + 4588, + 11539 + ], + [ + 10997, + 11301 + ], + [ + 10596, + 10957 + ], + [ + 5080, + 5585 + ], + [ + 2350, + 11523 + ], + [ + 3797, + 7253 + ], + [ + 6921, + 8759 + ], + [ + 4829, + 5185 + ], + [ + 1971, + 2078 + ], + [ + 2181, + 3608 + ], + [ + 5646, + 7659 + ], + [ + 135, + 379 + ], + [ + 4737, + 5596 + ], + [ + 2808, + 3706 + ], + [ + 5925, + 10457 + ], + [ + 8342, + 8903 + ], + [ + 365, + 1780 + ], + [ + 1553, + 6641 + ], + [ + 8614, + 10530 + ], + [ + 4682, + 7767 + ], + [ + 573, + 5866 + ], + [ + 294, + 6451 + ], + [ + 4502, + 8331 + ], + [ + 1947, + 6945 + ], + [ + 1513, + 10625 + ], + [ + 3565, + 10636 + ], + [ + 328, + 8664 + ], + [ + 1901, + 3567 + ], + [ + 7492, + 10022 + ], + [ + 539, + 9638 + ], + [ + 1198, + 2104 + ], + [ + 5118, + 10899 + ], + [ + 354, + 436 + ], + [ + 6670, + 10587 + ], + [ + 1912, + 10492 + ], + [ + 599, + 4404 + ], + [ + 6595, + 7969 + ], + [ + 2987, + 4364 + ], + [ + 2997, + 5052 + ], + [ + 5414, + 10668 + ], + [ + 438, + 2766 + ], + [ + 99, + 3300 + ], + [ + 1372, + 9989 + ], + [ + 1365, + 8818 + ], + [ + 4236, + 9878 + ], + [ + 6474, + 6861 + ], + [ + 9027, + 11584 + ], + [ + 3578, + 8188 + ], + [ + 9457, + 11168 + ], + [ + 1761, + 5785 + ], + [ + 8589, + 11358 + ], + [ + 6280, + 9247 + ], + [ + 5494, + 9092 + ], + [ + 1237, + 10703 + ], + [ + 1832, + 7880 + ], + [ + 6550, + 10828 + ], + [ + 203, + 6282 + ], + [ + 387, + 1673 + ], + [ + 5175, + 10278 + ], + [ + 6207, + 8210 + ], + [ + 3375, + 4072 + ], + [ + 5923, + 8451 + ], + [ + 4739, + 6715 + ], + [ + 704, + 7207 + ], + [ + 5802, + 10376 + ], + [ + 4432, + 9416 + ], + [ + 6550, + 7795 + ], + [ + 2346, + 9040 + ], + [ + 4265, + 4580 + ], + [ + 999, + 4122 + ], + [ + 937, + 3244 + ], + [ + 73, + 924 + ], + [ + 10525, + 10635 + ], + [ + 5456, + 5952 + ], + [ + 91, + 749 + ], + [ + 4136, + 5109 + ], + [ + 1069, + 8244 + ], + [ + 589, + 5163 + ], + [ + 26, + 10153 + ], + [ + 3265, + 11417 + ], + [ + 5975, + 8210 + ], + [ + 6940, + 10582 + ], + [ + 1990, + 8065 + ], + [ + 1491, + 6432 + ], + [ + 1897, + 5622 + ], + [ + 4378, + 8025 + ], + [ + 1093, + 3353 + ], + [ + 2853, + 10914 + ], + [ + 921, + 4589 + ], + [ + 7148, + 8252 + ], + [ + 3447, + 7866 + ], + [ + 28, + 7166 + ], + [ + 2860, + 4134 + ], + [ + 6215, + 8047 + ], + [ + 1428, + 9466 + ], + [ + 10946, + 11200 + ], + [ + 5246, + 8185 + ], + [ + 5251, + 8529 + ], + [ + 5143, + 9935 + ], + [ + 1751, + 4642 + ], + [ + 1405, + 10421 + ], + [ + 1535, + 9713 + ], + [ + 9470, + 10194 + ], + [ + 633, + 11073 + ], + [ + 4931, + 9463 + ], + [ + 3241, + 9087 + ], + [ + 1058, + 3897 + ], + [ + 6968, + 8442 + ], + [ + 1037, + 9436 + ], + [ + 90, + 6889 + ], + [ + 1308, + 7455 + ], + [ + 3918, + 6296 + ], + [ + 3833, + 10130 + ], + [ + 1987, + 9995 + ], + [ + 4537, + 8031 + ], + [ + 318, + 2552 + ], + [ + 4545, + 6394 + ], + [ + 87, + 175 + ], + [ + 3132, + 4606 + ], + [ + 1544, + 3009 + ], + [ + 4071, + 6511 + ], + [ + 8044, + 8551 + ], + [ + 0, + 930 + ], + [ + 6957, + 10131 + ], + [ + 8103, + 9131 + ], + [ + 2196, + 4103 + ], + [ + 4658, + 7210 + ], + [ + 8071, + 10347 + ], + [ + 9643, + 11411 + ], + [ + 5173, + 7841 + ], + [ + 2101, + 4216 + ], + [ + 757, + 9395 + ], + [ + 2746, + 4920 + ], + [ + 330, + 2912 + ], + [ + 8038, + 11338 + ], + [ + 5196, + 6512 + ], + [ + 5481, + 9125 + ], + [ + 30, + 9066 + ], + [ + 2433, + 3642 + ], + [ + 4797, + 5460 + ], + [ + 659, + 5073 + ], + [ + 7159, + 11369 + ], + [ + 10459, + 10657 + ], + [ + 5044, + 6091 + ], + [ + 7012, + 7155 + ], + [ + 1742, + 5222 + ], + [ + 288, + 6823 + ], + [ + 625, + 9626 + ], + [ + 1233, + 1403 + ], + [ + 281, + 9816 + ], + [ + 7526, + 9096 + ], + [ + 8374, + 10883 + ], + [ + 3300, + 6610 + ], + [ + 2734, + 3755 + ], + [ + 9588, + 10549 + ], + [ + 2849, + 8431 + ], + [ + 1425, + 11372 + ], + [ + 5372, + 8027 + ], + [ + 552, + 11218 + ], + [ + 3700, + 6702 + ], + [ + 1607, + 9319 + ], + [ + 506, + 7840 + ], + [ + 473, + 5448 + ], + [ + 49, + 3400 + ], + [ + 2031, + 8334 + ], + [ + 7913, + 11585 + ], + [ + 3426, + 3874 + ], + [ + 537, + 6372 + ], + [ + 3215, + 9289 + ], + [ + 1431, + 3616 + ], + [ + 7043, + 9450 + ], + [ + 7313, + 11031 + ], + [ + 2803, + 8032 + ], + [ + 695, + 10341 + ], + [ + 10141, + 11263 + ], + [ + 3895, + 6015 + ], + [ + 373, + 7846 + ], + [ + 1434, + 10680 + ], + [ + 1890, + 11485 + ], + [ + 9357, + 10400 + ], + [ + 2242, + 9658 + ], + [ + 3820, + 4151 + ], + [ + 4379, + 5835 + ], + [ + 7276, + 8116 + ], + [ + 932, + 6497 + ], + [ + 4168, + 11250 + ], + [ + 4133, + 5779 + ], + [ + 4370, + 11384 + ], + [ + 2128, + 10495 + ], + [ + 7206, + 9225 + ], + [ + 3412, + 9402 + ], + [ + 2813, + 8319 + ], + [ + 972, + 7774 + ], + [ + 970, + 11111 + ], + [ + 8005, + 10369 + ], + [ + 1040, + 6188 + ], + [ + 8010, + 10713 + ], + [ + 6291, + 9599 + ], + [ + 1602, + 11553 + ], + [ + 9129, + 10519 + ], + [ + 4888, + 7001 + ], + [ + 4275, + 8464 + ], + [ + 37, + 4463 + ], + [ + 570, + 11342 + ], + [ + 1083, + 5511 + ], + [ + 1334, + 9294 + ], + [ + 3108, + 7863 + ], + [ + 10836, + 11249 + ], + [ + 1519, + 8293 + ], + [ + 22, + 6060 + ], + [ + 2869, + 4814 + ], + [ + 3636, + 7201 + ], + [ + 3476, + 9952 + ], + [ + 5666, + 9897 + ], + [ + 396, + 1548 + ], + [ + 5939, + 8743 + ], + [ + 6801, + 10236 + ], + [ + 5403, + 7982 + ], + [ + 4587, + 9116 + ], + [ + 4750, + 10046 + ], + [ + 5751, + 8665 + ], + [ + 3946, + 8531 + ], + [ + 4030, + 6724 + ], + [ + 301, + 11460 + ], + [ + 7455, + 9124 + ], + [ + 228, + 3253 + ], + [ + 8624, + 11299 + ], + [ + 135, + 810 + ], + [ + 2588, + 8335 + ], + [ + 1165, + 4331 + ], + [ + 63, + 11295 + ], + [ + 3396, + 4307 + ], + [ + 379, + 6805 + ], + [ + 1329, + 8145 + ], + [ + 1812, + 11497 + ], + [ + 1218, + 10758 + ], + [ + 5237, + 9733 + ], + [ + 616, + 5994 + ], + [ + 1017, + 6338 + ], + [ + 7249, + 11099 + ], + [ + 5250, + 7716 + ], + [ + 1168, + 9890 + ], + [ + 10264, + 10403 + ], + [ + 4531, + 7248 + ], + [ + 9294, + 11070 + ], + [ + 5987, + 10611 + ], + [ + 2406, + 11081 + ], + [ + 5326, + 8650 + ], + [ + 2753, + 5904 + ], + [ + 4618, + 6843 + ], + [ + 2006, + 4923 + ], + [ + 5708, + 8163 + ], + [ + 932, + 6765 + ], + [ + 5911, + 8522 + ], + [ + 5945, + 7352 + ], + [ + 962, + 2443 + ], + [ + 1027, + 3592 + ], + [ + 7912, + 8945 + ], + [ + 9935, + 11224 + ], + [ + 6685, + 10545 + ], + [ + 5564, + 11043 + ], + [ + 2293, + 6077 + ], + [ + 1013, + 8797 + ], + [ + 2487, + 7074 + ], + [ + 5773, + 8184 + ], + [ + 9206, + 11199 + ], + [ + 176, + 7519 + ], + [ + 3882, + 5997 + ], + [ + 4467, + 8902 + ], + [ + 3565, + 3846 + ], + [ + 1605, + 6807 + ], + [ + 388, + 9095 + ], + [ + 8913, + 10573 + ], + [ + 5986, + 9581 + ], + [ + 948, + 7217 + ], + [ + 1905, + 3312 + ], + [ + 1722, + 4359 + ], + [ + 2739, + 2757 + ], + [ + 3621, + 10544 + ], + [ + 3366, + 9271 + ], + [ + 878, + 9861 + ], + [ + 9902, + 11060 + ], + [ + 4711, + 5448 + ], + [ + 4420, + 8682 + ], + [ + 9117, + 10753 + ], + [ + 86, + 4219 + ], + [ + 7816, + 8432 + ], + [ + 5631, + 8077 + ], + [ + 7434, + 8138 + ], + [ + 8554, + 11579 + ], + [ + 1519, + 2495 + ], + [ + 2463, + 4744 + ], + [ + 844, + 3080 + ], + [ + 1269, + 2320 + ], + [ + 4758, + 8677 + ], + [ + 8247, + 10870 + ], + [ + 5759, + 6542 + ], + [ + 4078, + 8918 + ], + [ + 4699, + 11480 + ], + [ + 1796, + 10882 + ], + [ + 9027, + 11210 + ], + [ + 1052, + 7166 + ], + [ + 3973, + 7589 + ], + [ + 790, + 8886 + ], + [ + 5026, + 6398 + ], + [ + 2908, + 8019 + ], + [ + 4188, + 5299 + ], + [ + 10349, + 11375 + ], + [ + 2761, + 10975 + ], + [ + 1765, + 6284 + ], + [ + 1538, + 7059 + ], + [ + 3095, + 3681 + ], + [ + 4471, + 5587 + ], + [ + 6962, + 8678 + ], + [ + 5653, + 6496 + ], + [ + 3414, + 9288 + ], + [ + 4959, + 8559 + ], + [ + 3066, + 5572 + ], + [ + 6698, + 10325 + ], + [ + 2477, + 8183 + ], + [ + 5856, + 9484 + ], + [ + 7065, + 8806 + ], + [ + 1284, + 9744 + ], + [ + 2903, + 7244 + ], + [ + 6222, + 10746 + ], + [ + 740, + 1952 + ], + [ + 7159, + 9572 + ], + [ + 275, + 6319 + ], + [ + 10799, + 11180 + ], + [ + 5078, + 9540 + ], + [ + 2986, + 5966 + ], + [ + 5288, + 11070 + ], + [ + 1680, + 6711 + ], + [ + 6279, + 8247 + ], + [ + 5379, + 6270 + ], + [ + 312, + 3168 + ], + [ + 6309, + 10341 + ], + [ + 3480, + 9884 + ], + [ + 512, + 2475 + ], + [ + 4570, + 11204 + ], + [ + 6189, + 8704 + ], + [ + 3262, + 7712 + ], + [ + 7173, + 8874 + ], + [ + 1970, + 8917 + ], + [ + 304, + 5155 + ], + [ + 3193, + 3411 + ], + [ + 6954, + 8012 + ], + [ + 5175, + 9099 + ], + [ + 3380, + 9653 + ], + [ + 3060, + 10237 + ], + [ + 3939, + 11337 + ], + [ + 3626, + 6676 + ], + [ + 3055, + 3477 + ], + [ + 1594, + 3153 + ], + [ + 10007, + 10806 + ], + [ + 1810, + 7881 + ], + [ + 6445, + 9074 + ], + [ + 1410, + 3975 + ], + [ + 6043, + 10757 + ], + [ + 4883, + 5665 + ], + [ + 10112, + 10226 + ], + [ + 4355, + 8929 + ], + [ + 5074, + 7862 + ], + [ + 626, + 6495 + ], + [ + 192, + 10175 + ], + [ + 3200, + 3427 + ], + [ + 242, + 9538 + ], + [ + 8461, + 9778 + ], + [ + 9765, + 10118 + ], + [ + 1728, + 5196 + ], + [ + 2359, + 8446 + ], + [ + 5096, + 7062 + ], + [ + 7618, + 9466 + ], + [ + 2415, + 9509 + ], + [ + 7233, + 8874 + ], + [ + 3074, + 7610 + ], + [ + 319, + 5412 + ], + [ + 415, + 5120 + ], + [ + 2839, + 7743 + ], + [ + 6479, + 7099 + ], + [ + 2535, + 3545 + ], + [ + 2902, + 8442 + ], + [ + 474, + 9083 + ], + [ + 469, + 2323 + ], + [ + 7003, + 9701 + ], + [ + 6998, + 9357 + ], + [ + 4792, + 8125 + ], + [ + 559, + 10884 + ], + [ + 3174, + 3653 + ], + [ + 8671, + 10503 + ], + [ + 5911, + 8685 + ], + [ + 4166, + 8602 + ], + [ + 3192, + 8396 + ], + [ + 7268, + 7905 + ], + [ + 1972, + 11167 + ], + [ + 358, + 9847 + ], + [ + 11311, + 11438 + ], + [ + 299, + 6234 + ], + [ + 6744, + 7905 + ], + [ + 4593, + 7134 + ], + [ + 820, + 5182 + ], + [ + 3775, + 7441 + ], + [ + 2849, + 8407 + ], + [ + 4237, + 9192 + ], + [ + 1103, + 11105 + ], + [ + 4553, + 4702 + ], + [ + 2751, + 4085 + ], + [ + 1650, + 4858 + ], + [ + 5016, + 5897 + ], + [ + 6824, + 9712 + ], + [ + 6750, + 11483 + ], + [ + 5048, + 8064 + ], + [ + 8969, + 10668 + ], + [ + 552, + 9689 + ], + [ + 1087, + 6815 + ], + [ + 8272, + 8296 + ], + [ + 6255, + 10723 + ], + [ + 2057, + 3115 + ], + [ + 3741, + 11590 + ], + [ + 7375, + 10754 + ], + [ + 4610, + 7838 + ], + [ + 3794, + 8972 + ], + [ + 3137, + 3747 + ], + [ + 4165, + 4189 + ], + [ + 1538, + 3489 + ], + [ + 3574, + 3721 + ], + [ + 9725, + 11361 + ], + [ + 859, + 7338 + ], + [ + 3792, + 5112 + ], + [ + 1452, + 7852 + ], + [ + 5113, + 8839 + ], + [ + 3633, + 4301 + ], + [ + 2716, + 11045 + ], + [ + 1095, + 6302 + ], + [ + 7323, + 10190 + ], + [ + 8818, + 9344 + ], + [ + 2, + 4684 + ], + [ + 9315, + 10150 + ], + [ + 1908, + 5624 + ], + [ + 1252, + 10423 + ], + [ + 436, + 10803 + ], + [ + 3027, + 5430 + ], + [ + 1028, + 2047 + ], + [ + 3142, + 3690 + ], + [ + 1216, + 11143 + ], + [ + 7477, + 11007 + ], + [ + 4542, + 5990 + ], + [ + 3981, + 7643 + ], + [ + 8246, + 9303 + ], + [ + 691, + 2627 + ], + [ + 71, + 9335 + ], + [ + 3698, + 10738 + ], + [ + 2710, + 6662 + ], + [ + 6287, + 8702 + ], + [ + 5043, + 6915 + ], + [ + 3517, + 6196 + ], + [ + 5320, + 5503 + ], + [ + 5543, + 11402 + ], + [ + 2618, + 7073 + ], + [ + 6751, + 7116 + ], + [ + 9340, + 11496 + ], + [ + 3425, + 8859 + ], + [ + 4567, + 10369 + ], + [ + 3132, + 4850 + ], + [ + 2980, + 5210 + ], + [ + 2820, + 7961 + ], + [ + 2577, + 10455 + ], + [ + 1639, + 9906 + ], + [ + 1830, + 7222 + ], + [ + 3354, + 7114 + ], + [ + 1169, + 7513 + ], + [ + 2069, + 2320 + ], + [ + 2571, + 3470 + ], + [ + 4159, + 5821 + ], + [ + 1100, + 2458 + ], + [ + 6332, + 8071 + ], + [ + 9477, + 10454 + ], + [ + 2562, + 6390 + ], + [ + 2283, + 6975 + ], + [ + 3747, + 4564 + ], + [ + 1042, + 8869 + ], + [ + 6243, + 8753 + ], + [ + 7260, + 11315 + ], + [ + 6117, + 10334 + ], + [ + 2256, + 5529 + ], + [ + 6824, + 7752 + ], + [ + 1103, + 6112 + ], + [ + 6700, + 10160 + ], + [ + 9093, + 10464 + ], + [ + 4769, + 6689 + ], + [ + 4589, + 11417 + ], + [ + 969, + 6297 + ], + [ + 6916, + 7691 + ], + [ + 474, + 9701 + ], + [ + 2432, + 10831 + ], + [ + 4426, + 7454 + ], + [ + 6327, + 7296 + ], + [ + 364, + 5399 + ], + [ + 5193, + 9087 + ], + [ + 5373, + 7742 + ], + [ + 4036, + 9928 + ], + [ + 3079, + 5165 + ], + [ + 245, + 6616 + ], + [ + 4665, + 6689 + ], + [ + 5463, + 7635 + ], + [ + 1695, + 2617 + ], + [ + 10514, + 10958 + ], + [ + 4936, + 11124 + ], + [ + 886, + 10584 + ], + [ + 7859, + 8210 + ], + [ + 8173, + 10063 + ], + [ + 2765, + 5914 + ], + [ + 1845, + 2561 + ], + [ + 6022, + 8538 + ], + [ + 8386, + 11110 + ], + [ + 2820, + 10539 + ], + [ + 3291, + 5206 + ], + [ + 762, + 5795 + ], + [ + 450, + 10404 + ], + [ + 4237, + 9810 + ], + [ + 6394, + 8117 + ], + [ + 2590, + 3846 + ], + [ + 413, + 4106 + ], + [ + 2302, + 7351 + ], + [ + 8092, + 10259 + ], + [ + 6325, + 6445 + ], + [ + 160, + 7797 + ], + [ + 4476, + 6012 + ], + [ + 8058, + 8396 + ], + [ + 1280, + 10457 + ], + [ + 4632, + 10689 + ], + [ + 4977, + 6937 + ], + [ + 3033, + 4015 + ], + [ + 3015, + 9071 + ], + [ + 5025, + 10391 + ], + [ + 1692, + 7957 + ], + [ + 1203, + 7766 + ], + [ + 9262, + 10003 + ], + [ + 1111, + 1761 + ], + [ + 2477, + 5231 + ], + [ + 5876, + 8662 + ], + [ + 2103, + 6710 + ], + [ + 8662, + 9449 + ], + [ + 1747, + 5385 + ], + [ + 3935, + 8667 + ], + [ + 5485, + 8282 + ], + [ + 3069, + 6274 + ], + [ + 10132, + 10990 + ], + [ + 4177, + 8954 + ], + [ + 5018, + 9570 + ], + [ + 1007, + 10456 + ], + [ + 787, + 5986 + ], + [ + 4087, + 6028 + ], + [ + 1351, + 1598 + ], + [ + 9434, + 11399 + ], + [ + 4272, + 11443 + ], + [ + 4241, + 9878 + ], + [ + 4580, + 9344 + ], + [ + 2801, + 10431 + ], + [ + 5703, + 6640 + ], + [ + 588, + 1612 + ], + [ + 335, + 1166 + ], + [ + 7261, + 10280 + ], + [ + 8596, + 11431 + ], + [ + 2584, + 8861 + ], + [ + 5233, + 6876 + ], + [ + 3294, + 4298 + ], + [ + 3981, + 8611 + ], + [ + 5092, + 10808 + ], + [ + 6212, + 10839 + ], + [ + 8829, + 10851 + ], + [ + 4525, + 7728 + ], + [ + 762, + 7218 + ], + [ + 2935, + 5304 + ], + [ + 519, + 7460 + ], + [ + 357, + 9384 + ], + [ + 1262, + 5289 + ], + [ + 2915, + 8035 + ], + [ + 10007, + 11237 + ], + [ + 255, + 4943 + ], + [ + 3936, + 5054 + ], + [ + 2771, + 7532 + ], + [ + 5145, + 10038 + ], + [ + 3925, + 6393 + ], + [ + 10368, + 11401 + ], + [ + 4394, + 9315 + ], + [ + 8377, + 8633 + ], + [ + 6295, + 9911 + ], + [ + 1436, + 9010 + ], + [ + 1715, + 2009 + ], + [ + 5660, + 9171 + ], + [ + 2080, + 6079 + ], + [ + 834, + 7629 + ], + [ + 5900, + 11260 + ], + [ + 5587, + 6599 + ], + [ + 4418, + 10059 + ], + [ + 2580, + 7533 + ], + [ + 765, + 6711 + ], + [ + 5928, + 10275 + ], + [ + 3839, + 10382 + ], + [ + 7056, + 7915 + ], + [ + 11154, + 11155 + ], + [ + 2469, + 3006 + ], + [ + 884, + 7342 + ], + [ + 1066, + 6824 + ], + [ + 2967, + 7420 + ], + [ + 1346, + 9093 + ], + [ + 7447, + 10954 + ], + [ + 7385, + 10076 + ], + [ + 845, + 11551 + ], + [ + 5024, + 7775 + ], + [ + 1910, + 4705 + ], + [ + 9320, + 9502 + ], + [ + 6075, + 9921 + ], + [ + 3243, + 5783 + ], + [ + 316, + 11207 + ], + [ + 2527, + 6367 + ], + [ + 2470, + 9997 + ], + [ + 7723, + 10071 + ], + [ + 34, + 1695 + ], + [ + 438, + 6474 + ], + [ + 5794, + 7427 + ], + [ + 195, + 6716 + ], + [ + 1876, + 9258 + ], + [ + 3118, + 3802 + ], + [ + 351, + 7229 + ], + [ + 7599, + 10944 + ], + [ + 687, + 10561 + ], + [ + 1150, + 5367 + ], + [ + 968, + 10022 + ], + [ + 2026, + 8421 + ], + [ + 1140, + 3898 + ], + [ + 2611, + 2658 + ], + [ + 484, + 8697 + ], + [ + 7903, + 9076 + ], + [ + 822, + 8692 + ], + [ + 6496, + 8988 + ], + [ + 8170, + 9605 + ], + [ + 1575, + 7209 + ], + [ + 4756, + 9249 + ], + [ + 1791, + 5521 + ], + [ + 7363, + 7792 + ], + [ + 1346, + 8288 + ], + [ + 2220, + 4880 + ], + [ + 7414, + 7757 + ], + [ + 3121, + 4049 + ], + [ + 6789, + 7705 + ], + [ + 4387, + 9567 + ], + [ + 4829, + 10666 + ], + [ + 2112, + 7040 + ], + [ + 2177, + 5183 + ], + [ + 3302, + 5558 + ], + [ + 5480, + 8906 + ], + [ + 4055, + 10491 + ], + [ + 2902, + 8068 + ], + [ + 22, + 6922 + ], + [ + 1178, + 2446 + ], + [ + 4727, + 9608 + ], + [ + 61, + 434 + ], + [ + 298, + 6039 + ], + [ + 6593, + 11149 + ], + [ + 5003, + 7971 + ], + [ + 4683, + 6303 + ], + [ + 4008, + 6888 + ], + [ + 4634, + 9794 + ], + [ + 1700, + 8385 + ], + [ + 4965, + 8618 + ], + [ + 3752, + 6144 + ], + [ + 1324, + 9037 + ], + [ + 605, + 2934 + ], + [ + 1010, + 10567 + ], + [ + 6423, + 8644 + ], + [ + 2510, + 4403 + ], + [ + 1414, + 2514 + ], + [ + 3427, + 9767 + ], + [ + 4712, + 5139 + ], + [ + 104, + 8775 + ], + [ + 8598, + 10940 + ], + [ + 1407, + 11142 + ], + [ + 6699, + 10390 + ], + [ + 37, + 4520 + ], + [ + 8899, + 11053 + ], + [ + 1401, + 4157 + ], + [ + 1862, + 5306 + ], + [ + 745, + 2540 + ], + [ + 2742, + 10014 + ], + [ + 2386, + 7935 + ], + [ + 8153, + 10674 + ], + [ + 3170, + 8017 + ], + [ + 2979, + 9203 + ], + [ + 3947, + 4676 + ], + [ + 76, + 6353 + ], + [ + 2481, + 4008 + ], + [ + 3047, + 6863 + ], + [ + 9580, + 11387 + ], + [ + 7364, + 9467 + ], + [ + 8246, + 10084 + ], + [ + 2726, + 7976 + ], + [ + 463, + 6210 + ], + [ + 70, + 5757 + ], + [ + 4244, + 5801 + ], + [ + 7545, + 7943 + ], + [ + 255, + 4756 + ], + [ + 1664, + 2638 + ], + [ + 731, + 4685 + ], + [ + 2226, + 3839 + ], + [ + 1907, + 11441 + ], + [ + 653, + 8966 + ], + [ + 5513, + 8557 + ], + [ + 1411, + 7827 + ], + [ + 10652, + 10973 + ], + [ + 5989, + 8486 + ], + [ + 7840, + 8241 + ], + [ + 7499, + 7948 + ], + [ + 2547, + 11020 + ], + [ + 503, + 2202 + ], + [ + 840, + 8011 + ], + [ + 5344, + 9687 + ], + [ + 3539, + 9553 + ], + [ + 361, + 4778 + ], + [ + 9175, + 9365 + ], + [ + 842, + 11467 + ], + [ + 3906, + 8034 + ], + [ + 1726, + 2361 + ], + [ + 1178, + 4219 + ], + [ + 5161, + 7701 + ], + [ + 5593, + 7358 + ], + [ + 6393, + 7973 + ], + [ + 858, + 2551 + ], + [ + 6991, + 9585 + ], + [ + 3603, + 7444 + ], + [ + 5456, + 10278 + ], + [ + 857, + 3080 + ], + [ + 1820, + 11041 + ], + [ + 1256, + 2597 + ], + [ + 1192, + 11472 + ], + [ + 571, + 8910 + ], + [ + 3184, + 5016 + ], + [ + 4553, + 5751 + ], + [ + 4678, + 4699 + ], + [ + 5887, + 9683 + ], + [ + 4982, + 7362 + ], + [ + 3492, + 6300 + ], + [ + 1532, + 11513 + ], + [ + 4737, + 5279 + ], + [ + 5203, + 6772 + ], + [ + 530, + 2843 + ], + [ + 4571, + 9713 + ], + [ + 10802, + 10866 + ], + [ + 207, + 6539 + ], + [ + 4231, + 10022 + ], + [ + 1795, + 2474 + ], + [ + 4222, + 8778 + ], + [ + 173, + 11092 + ], + [ + 1207, + 5687 + ], + [ + 4531, + 9533 + ], + [ + 8483, + 11450 + ], + [ + 9293, + 9747 + ], + [ + 1115, + 6098 + ], + [ + 4594, + 7603 + ], + [ + 1669, + 7438 + ], + [ + 1542, + 5411 + ], + [ + 8926, + 8987 + ], + [ + 7329, + 11054 + ], + [ + 4409, + 11233 + ], + [ + 856, + 919 + ], + [ + 7328, + 11583 + ], + [ + 9826, + 10183 + ], + [ + 4618, + 9128 + ], + [ + 922, + 2670 + ], + [ + 4024, + 8389 + ], + [ + 5230, + 7440 + ], + [ + 5171, + 10243 + ], + [ + 1377, + 9666 + ], + [ + 7760, + 8207 + ], + [ + 167, + 6709 + ], + [ + 8566, + 10522 + ], + [ + 6885, + 7980 + ], + [ + 2623, + 5083 + ], + [ + 9798, + 10794 + ], + [ + 3338, + 11444 + ], + [ + 537, + 9625 + ], + [ + 3775, + 8035 + ], + [ + 3727, + 11027 + ], + [ + 1089, + 3722 + ], + [ + 6808, + 8699 + ], + [ + 9956, + 10599 + ], + [ + 8281, + 9757 + ], + [ + 1492, + 1860 + ], + [ + 4568, + 8610 + ], + [ + 2978, + 5432 + ], + [ + 1866, + 10180 + ], + [ + 982, + 2320 + ], + [ + 235, + 11165 + ], + [ + 333, + 1874 + ], + [ + 8832, + 10799 + ], + [ + 2946, + 4396 + ], + [ + 2532, + 8728 + ], + [ + 3657, + 9103 + ], + [ + 14, + 27 + ], + [ + 7015, + 9500 + ], + [ + 1153, + 9907 + ], + [ + 9002, + 9116 + ], + [ + 2118, + 10027 + ], + [ + 3645, + 7938 + ], + [ + 6250, + 6435 + ], + [ + 5859, + 6779 + ], + [ + 5921, + 7657 + ], + [ + 1050, + 2989 + ], + [ + 9461, + 9815 + ], + [ + 5316, + 8257 + ], + [ + 2054, + 8672 + ], + [ + 3658, + 4386 + ], + [ + 7544, + 7935 + ], + [ + 1546, + 7707 + ], + [ + 6186, + 9244 + ], + [ + 145, + 1018 + ], + [ + 1072, + 7824 + ], + [ + 6366, + 7899 + ], + [ + 2914, + 4053 + ], + [ + 1539, + 9919 + ], + [ + 3994, + 11101 + ], + [ + 8471, + 10954 + ], + [ + 6270, + 10820 + ], + [ + 2724, + 8093 + ], + [ + 1530, + 2636 + ], + [ + 3918, + 9012 + ], + [ + 1306, + 2928 + ], + [ + 6467, + 9829 + ], + [ + 2578, + 10146 + ], + [ + 6000, + 11117 + ], + [ + 1065, + 10386 + ], + [ + 3302, + 3761 + ], + [ + 1244, + 5433 + ], + [ + 4764, + 6939 + ], + [ + 2758, + 8801 + ], + [ + 642, + 669 + ], + [ + 1760, + 4037 + ], + [ + 1398, + 9283 + ], + [ + 2040, + 6306 + ], + [ + 6675, + 7499 + ], + [ + 2514, + 5408 + ], + [ + 4123, + 6384 + ], + [ + 1452, + 9519 + ], + [ + 6684, + 8716 + ], + [ + 1541, + 8810 + ], + [ + 77, + 1799 + ], + [ + 3191, + 4869 + ], + [ + 2069, + 8175 + ], + [ + 395, + 1142 + ], + [ + 4094, + 7494 + ], + [ + 5923, + 6524 + ], + [ + 8968, + 10955 + ], + [ + 5642, + 6282 + ], + [ + 8439, + 11365 + ], + [ + 8139, + 11073 + ], + [ + 963, + 2538 + ], + [ + 1473, + 7713 + ], + [ + 4424, + 6847 + ], + [ + 243, + 9796 + ], + [ + 465, + 1507 + ], + [ + 4141, + 9942 + ], + [ + 2460, + 8154 + ], + [ + 3045, + 8807 + ], + [ + 1434, + 11168 + ], + [ + 6061, + 8336 + ], + [ + 4168, + 8355 + ], + [ + 2898, + 5347 + ], + [ + 3940, + 8905 + ], + [ + 1230, + 6450 + ], + [ + 1147, + 11111 + ], + [ + 2167, + 7528 + ], + [ + 5118, + 6662 + ], + [ + 7123, + 10991 + ], + [ + 425, + 4710 + ], + [ + 3749, + 9310 + ], + [ + 1784, + 11173 + ], + [ + 3816, + 4116 + ], + [ + 3462, + 9253 + ], + [ + 7641, + 9641 + ], + [ + 1348, + 10993 + ], + [ + 2470, + 5435 + ], + [ + 6288, + 6406 + ], + [ + 8354, + 8759 + ], + [ + 1809, + 9890 + ], + [ + 8161, + 9118 + ], + [ + 3491, + 11122 + ], + [ + 1132, + 3232 + ], + [ + 72, + 7416 + ], + [ + 158, + 9442 + ], + [ + 5638, + 7987 + ], + [ + 3953, + 6457 + ], + [ + 375, + 10608 + ], + [ + 6559, + 7808 + ], + [ + 2928, + 8915 + ], + [ + 2119, + 11220 + ], + [ + 6126, + 7926 + ], + [ + 9149, + 9380 + ], + [ + 9794, + 10084 + ], + [ + 4064, + 10610 + ], + [ + 1237, + 6816 + ], + [ + 3726, + 7582 + ], + [ + 4075, + 7736 + ], + [ + 3354, + 7976 + ], + [ + 8884, + 10802 + ], + [ + 78, + 6830 + ], + [ + 7304, + 9066 + ], + [ + 7731, + 8379 + ], + [ + 1041, + 6123 + ], + [ + 7673, + 8374 + ], + [ + 2351, + 6251 + ], + [ + 2685, + 5373 + ], + [ + 7167, + 9734 + ], + [ + 658, + 6358 + ], + [ + 642, + 5825 + ], + [ + 1846, + 10465 + ], + [ + 3778, + 10374 + ], + [ + 4342, + 5986 + ], + [ + 2683, + 5677 + ], + [ + 2089, + 11354 + ], + [ + 2624, + 8480 + ], + [ + 3730, + 3917 + ], + [ + 5737, + 11325 + ], + [ + 7845, + 9016 + ], + [ + 4161, + 6355 + ], + [ + 2, + 5091 + ], + [ + 8933, + 10263 + ], + [ + 3554, + 11016 + ], + [ + 5072, + 5458 + ], + [ + 8396, + 10058 + ], + [ + 9526, + 10777 + ], + [ + 8719, + 8991 + ], + [ + 4564, + 6745 + ], + [ + 3942, + 10374 + ], + [ + 4845, + 10370 + ], + [ + 3749, + 4317 + ], + [ + 3098, + 9460 + ], + [ + 59, + 8227 + ], + [ + 9828, + 11492 + ], + [ + 1972, + 9614 + ], + [ + 4771, + 10606 + ], + [ + 3215, + 7012 + ], + [ + 1345, + 2319 + ], + [ + 8380, + 11403 + ], + [ + 2315, + 2783 + ], + [ + 7271, + 9252 + ], + [ + 2056, + 11190 + ], + [ + 132, + 9644 + ], + [ + 5448, + 7034 + ], + [ + 3982, + 6366 + ], + [ + 6162, + 6377 + ], + [ + 895, + 1709 + ], + [ + 4948, + 5930 + ], + [ + 2893, + 11283 + ], + [ + 467, + 8587 + ], + [ + 6845, + 9036 + ], + [ + 4018, + 5242 + ], + [ + 6217, + 9467 + ], + [ + 7347, + 7934 + ], + [ + 5690, + 9950 + ], + [ + 1710, + 10903 + ], + [ + 2949, + 5930 + ], + [ + 4819, + 7213 + ], + [ + 430, + 3043 + ], + [ + 6407, + 6558 + ], + [ + 1426, + 4728 + ], + [ + 1732, + 1802 + ], + [ + 837, + 4333 + ], + [ + 10205, + 10260 + ], + [ + 8085, + 10300 + ], + [ + 5783, + 10114 + ], + [ + 3904, + 6833 + ], + [ + 2192, + 2726 + ], + [ + 762, + 8885 + ], + [ + 3694, + 3805 + ], + [ + 4624, + 7122 + ], + [ + 1945, + 6232 + ], + [ + 6177, + 6254 + ], + [ + 3811, + 7773 + ], + [ + 1352, + 9101 + ], + [ + 7391, + 9330 + ], + [ + 8177, + 10239 + ], + [ + 1453, + 9153 + ], + [ + 318, + 3926 + ], + [ + 3721, + 4847 + ], + [ + 9440, + 10578 + ], + [ + 1878, + 1977 + ], + [ + 6547, + 8416 + ], + [ + 1475, + 4970 + ], + [ + 2645, + 4364 + ], + [ + 9038, + 10009 + ], + [ + 3778, + 8764 + ], + [ + 2035, + 9508 + ], + [ + 3095, + 5324 + ], + [ + 5854, + 7671 + ], + [ + 3961, + 11100 + ], + [ + 4022, + 8343 + ], + [ + 6350, + 8252 + ], + [ + 3614, + 10992 + ], + [ + 9612, + 11220 + ], + [ + 5407, + 9611 + ], + [ + 6786, + 11034 + ], + [ + 9513, + 10460 + ], + [ + 1141, + 1310 + ], + [ + 1639, + 11386 + ], + [ + 2860, + 11469 + ], + [ + 3574, + 10812 + ], + [ + 1231, + 3455 + ], + [ + 6838, + 8191 + ], + [ + 2104, + 6238 + ], + [ + 1173, + 2696 + ], + [ + 4930, + 9807 + ], + [ + 2471, + 11135 + ], + [ + 1822, + 10689 + ], + [ + 1447, + 5150 + ], + [ + 227, + 1505 + ], + [ + 3838, + 4627 + ], + [ + 6945, + 10690 + ], + [ + 3846, + 9406 + ], + [ + 1132, + 9461 + ], + [ + 2940, + 6860 + ], + [ + 3489, + 7856 + ], + [ + 1782, + 4093 + ], + [ + 3580, + 7220 + ], + [ + 498, + 2907 + ], + [ + 3540, + 4411 + ], + [ + 4197, + 8882 + ], + [ + 3388, + 10433 + ], + [ + 4291, + 6265 + ], + [ + 4064, + 7040 + ], + [ + 3955, + 6316 + ], + [ + 371, + 7269 + ], + [ + 1203, + 10051 + ], + [ + 57, + 8799 + ], + [ + 6492, + 9782 + ], + [ + 7658, + 10158 + ], + [ + 1180, + 6095 + ], + [ + 7183, + 7421 + ], + [ + 1046, + 3651 + ], + [ + 3009, + 4371 + ], + [ + 3045, + 11198 + ], + [ + 4726, + 8822 + ], + [ + 2764, + 10956 + ], + [ + 1336, + 6608 + ], + [ + 183, + 4185 + ], + [ + 4665, + 5136 + ], + [ + 2702, + 3662 + ], + [ + 1234, + 6331 + ], + [ + 3152, + 3898 + ], + [ + 4177, + 11239 + ], + [ + 763, + 10129 + ], + [ + 4596, + 9880 + ], + [ + 2906, + 10258 + ], + [ + 1497, + 10124 + ], + [ + 1512, + 11156 + ], + [ + 5925, + 7806 + ], + [ + 2152, + 5854 + ], + [ + 5980, + 7513 + ], + [ + 1904, + 8004 + ], + [ + 2404, + 6075 + ], + [ + 2999, + 3252 + ], + [ + 5852, + 6015 + ], + [ + 2152, + 9237 + ], + [ + 5882, + 7355 + ], + [ + 2269, + 3406 + ], + [ + 7748, + 8896 + ], + [ + 1091, + 9786 + ], + [ + 1220, + 1306 + ], + [ + 2092, + 7651 + ], + [ + 10511, + 10985 + ], + [ + 3357, + 3899 + ], + [ + 10206, + 10349 + ], + [ + 1185, + 2251 + ], + [ + 555, + 8271 + ], + [ + 6312, + 10322 + ], + [ + 3314, + 4202 + ], + [ + 7928, + 10934 + ], + [ + 1920, + 5854 + ], + [ + 1636, + 6095 + ], + [ + 149, + 4550 + ], + [ + 2475, + 3632 + ], + [ + 8879, + 9466 + ], + [ + 2683, + 4335 + ], + [ + 3909, + 4762 + ], + [ + 9638, + 11181 + ], + [ + 2808, + 3283 + ], + [ + 8724, + 11026 + ], + [ + 5554, + 11030 + ], + [ + 2586, + 7785 + ], + [ + 5, + 7430 + ], + [ + 3766, + 7867 + ], + [ + 11152, + 11516 + ], + [ + 2558, + 5737 + ], + [ + 2401, + 8005 + ], + [ + 2621, + 3807 + ], + [ + 2589, + 4269 + ], + [ + 9120, + 11376 + ], + [ + 1126, + 7282 + ], + [ + 5358, + 7304 + ], + [ + 10518, + 11351 + ], + [ + 3887, + 6292 + ], + [ + 3830, + 5758 + ], + [ + 3983, + 6754 + ], + [ + 9294, + 10216 + ], + [ + 2117, + 8596 + ], + [ + 4259, + 5117 + ], + [ + 3352, + 6133 + ], + [ + 1136, + 7219 + ], + [ + 1511, + 6342 + ], + [ + 965, + 9027 + ], + [ + 7978, + 9492 + ], + [ + 8352, + 11396 + ], + [ + 8190, + 11068 + ], + [ + 10658, + 10957 + ], + [ + 6458, + 9692 + ], + [ + 1105, + 5250 + ], + [ + 668, + 5249 + ], + [ + 126, + 4700 + ], + [ + 1000, + 1292 + ], + [ + 2345, + 3885 + ], + [ + 8716, + 9579 + ], + [ + 5329, + 11046 + ], + [ + 1993, + 2679 + ], + [ + 1922, + 10383 + ], + [ + 4043, + 9033 + ], + [ + 3802, + 10102 + ], + [ + 7024, + 10261 + ], + [ + 2325, + 11527 + ], + [ + 835, + 5547 + ], + [ + 6158, + 11278 + ], + [ + 10671, + 10788 + ], + [ + 6738, + 7423 + ], + [ + 4327, + 5759 + ], + [ + 5246, + 5534 + ], + [ + 4075, + 8167 + ], + [ + 610, + 7122 + ], + [ + 1171, + 2463 + ], + [ + 6124, + 9415 + ], + [ + 4560, + 7458 + ], + [ + 3324, + 9696 + ], + [ + 6524, + 9534 + ], + [ + 2068, + 4142 + ], + [ + 3444, + 8300 + ], + [ + 2813, + 5050 + ], + [ + 7114, + 7121 + ], + [ + 4275, + 8228 + ], + [ + 789, + 5552 + ], + [ + 1596, + 5086 + ], + [ + 2962, + 8556 + ], + [ + 1203, + 4603 + ], + [ + 410, + 6687 + ], + [ + 2815, + 4342 + ], + [ + 2624, + 5528 + ], + [ + 3126, + 6678 + ], + [ + 7109, + 9406 + ], + [ + 3155, + 11580 + ], + [ + 7766, + 8215 + ], + [ + 1469, + 8694 + ], + [ + 7487, + 8800 + ], + [ + 6489, + 10452 + ], + [ + 9557, + 10171 + ], + [ + 1314, + 5373 + ], + [ + 263, + 3227 + ], + [ + 3340, + 10579 + ], + [ + 726, + 1416 + ], + [ + 2115, + 3557 + ], + [ + 3727, + 4050 + ], + [ + 4850, + 7762 + ], + [ + 6410, + 7311 + ], + [ + 342, + 11225 + ], + [ + 4322, + 4610 + ], + [ + 1013, + 7488 + ], + [ + 4469, + 7289 + ], + [ + 3044, + 6622 + ], + [ + 2473, + 7587 + ], + [ + 766, + 10240 + ], + [ + 4465, + 7547 + ], + [ + 855, + 9531 + ], + [ + 5583, + 6751 + ], + [ + 41, + 6574 + ], + [ + 3654, + 4861 + ], + [ + 173, + 6693 + ], + [ + 1164, + 3870 + ], + [ + 5209, + 8230 + ], + [ + 3994, + 11345 + ], + [ + 797, + 2356 + ], + [ + 5797, + 8400 + ], + [ + 6702, + 7311 + ], + [ + 2130, + 9850 + ], + [ + 3596, + 4102 + ], + [ + 6972, + 8892 + ], + [ + 950, + 9768 + ], + [ + 4250, + 9056 + ], + [ + 2617, + 3552 + ], + [ + 6204, + 6280 + ], + [ + 4676, + 4734 + ], + [ + 4516, + 7485 + ], + [ + 3683, + 6730 + ], + [ + 3841, + 8070 + ], + [ + 1036, + 8007 + ], + [ + 4608, + 9703 + ], + [ + 5723, + 9390 + ], + [ + 444, + 8095 + ], + [ + 5919, + 7050 + ], + [ + 2428, + 4030 + ], + [ + 719, + 4358 + ], + [ + 4571, + 10575 + ], + [ + 3327, + 8788 + ], + [ + 3053, + 3301 + ], + [ + 4018, + 5673 + ], + [ + 2420, + 3388 + ], + [ + 5635, + 10674 + ], + [ + 8209, + 9858 + ], + [ + 6091, + 11479 + ], + [ + 1433, + 8582 + ], + [ + 895, + 5523 + ], + [ + 1122, + 4748 + ], + [ + 4046, + 11104 + ], + [ + 2735, + 8095 + ], + [ + 5493, + 6834 + ], + [ + 155, + 10594 + ], + [ + 1824, + 5205 + ], + [ + 2106, + 8301 + ], + [ + 4186, + 10360 + ], + [ + 5461, + 8050 + ], + [ + 10452, + 10568 + ], + [ + 1303, + 9640 + ], + [ + 7790, + 10813 + ], + [ + 3839, + 10252 + ], + [ + 8264, + 9915 + ], + [ + 2975, + 7932 + ], + [ + 5115, + 10796 + ], + [ + 6421, + 7045 + ], + [ + 3752, + 11007 + ], + [ + 6484, + 11531 + ], + [ + 8414, + 9859 + ], + [ + 358, + 11303 + ], + [ + 4807, + 9108 + ], + [ + 2242, + 3624 + ], + [ + 2028, + 8768 + ], + [ + 8101, + 8581 + ], + [ + 5787, + 6126 + ], + [ + 3617, + 7557 + ], + [ + 4176, + 9241 + ], + [ + 4362, + 6213 + ], + [ + 95, + 2972 + ], + [ + 35, + 2921 + ], + [ + 1055, + 11416 + ], + [ + 1781, + 5858 + ], + [ + 7780, + 9694 + ], + [ + 4234, + 6967 + ], + [ + 2582, + 7075 + ], + [ + 839, + 3655 + ], + [ + 335, + 5842 + ], + [ + 250, + 4014 + ], + [ + 120, + 1689 + ], + [ + 7425, + 8190 + ], + [ + 5534, + 6030 + ], + [ + 9259, + 10974 + ], + [ + 2666, + 2989 + ], + [ + 9145, + 9906 + ], + [ + 11160, + 11570 + ], + [ + 5525, + 11202 + ], + [ + 1540, + 11057 + ], + [ + 2672, + 6187 + ], + [ + 2644, + 10555 + ], + [ + 2820, + 6839 + ], + [ + 8324, + 9942 + ], + [ + 5686, + 9807 + ], + [ + 6574, + 10269 + ], + [ + 801, + 1269 + ], + [ + 4925, + 9894 + ], + [ + 5274, + 10802 + ], + [ + 2991, + 7660 + ], + [ + 1232, + 10123 + ], + [ + 10222, + 10240 + ], + [ + 5201, + 9011 + ], + [ + 2586, + 3410 + ], + [ + 176, + 11016 + ], + [ + 1169, + 9774 + ], + [ + 7289, + 8679 + ], + [ + 4149, + 7394 + ], + [ + 997, + 3840 + ], + [ + 1435, + 7449 + ], + [ + 5474, + 7076 + ], + [ + 2205, + 2937 + ], + [ + 811, + 7999 + ], + [ + 3139, + 3744 + ], + [ + 5950, + 7005 + ], + [ + 3264, + 9108 + ], + [ + 3050, + 8590 + ], + [ + 309, + 9451 + ], + [ + 4786, + 10058 + ], + [ + 5271, + 6343 + ], + [ + 326, + 760 + ], + [ + 1366, + 9133 + ], + [ + 2595, + 3472 + ], + [ + 1194, + 3199 + ], + [ + 4805, + 4823 + ], + [ + 2974, + 9884 + ], + [ + 1076, + 8805 + ], + [ + 822, + 11140 + ], + [ + 5490, + 8309 + ], + [ + 5299, + 10993 + ], + [ + 1913, + 6269 + ], + [ + 6331, + 8925 + ], + [ + 3963, + 9617 + ], + [ + 9663, + 11134 + ], + [ + 2499, + 3360 + ], + [ + 9658, + 10790 + ], + [ + 866, + 4272 + ], + [ + 2004, + 9016 + ], + [ + 273, + 6387 + ], + [ + 1215, + 7809 + ], + [ + 2299, + 5931 + ], + [ + 4258, + 9915 + ], + [ + 3848, + 5321 + ], + [ + 49, + 4400 + ], + [ + 7280, + 11144 + ], + [ + 3006, + 6732 + ], + [ + 6743, + 6775 + ], + [ + 929, + 1938 + ], + [ + 4461, + 6487 + ], + [ + 2456, + 6265 + ], + [ + 887, + 1712 + ], + [ + 389, + 3687 + ], + [ + 13, + 10755 + ], + [ + 6243, + 9054 + ], + [ + 9815, + 10750 + ], + [ + 7795, + 8742 + ], + [ + 8080, + 11355 + ], + [ + 8753, + 10697 + ], + [ + 1184, + 5089 + ], + [ + 5953, + 8726 + ], + [ + 474, + 6619 + ], + [ + 6449, + 10061 + ], + [ + 8751, + 11001 + ], + [ + 2304, + 8503 + ], + [ + 5568, + 5882 + ], + [ + 898, + 1470 + ], + [ + 1465, + 7179 + ], + [ + 7155, + 8008 + ], + [ + 1401, + 9638 + ], + [ + 11193, + 11197 + ], + [ + 5100, + 6945 + ], + [ + 6631, + 8762 + ], + [ + 8737, + 9790 + ], + [ + 10364, + 11315 + ], + [ + 6128, + 7387 + ], + [ + 4634, + 4671 + ], + [ + 2879, + 10316 + ], + [ + 4102, + 5564 + ], + [ + 1447, + 9232 + ], + [ + 4468, + 9105 + ], + [ + 2226, + 8970 + ], + [ + 3043, + 9192 + ], + [ + 2415, + 9623 + ], + [ + 2136, + 10208 + ], + [ + 9288, + 9297 + ], + [ + 7168, + 7839 + ], + [ + 2003, + 4202 + ], + [ + 2498, + 8345 + ], + [ + 6604, + 9194 + ], + [ + 3090, + 5224 + ], + [ + 8535, + 11130 + ], + [ + 8788, + 9324 + ], + [ + 2220, + 8751 + ], + [ + 2246, + 3556 + ], + [ + 1993, + 9526 + ], + [ + 1112, + 5347 + ], + [ + 2483, + 2745 + ], + [ + 2713, + 5651 + ], + [ + 7224, + 11504 + ], + [ + 4726, + 6488 + ], + [ + 7532, + 9405 + ], + [ + 3924, + 5800 + ], + [ + 3425, + 4167 + ], + [ + 376, + 2246 + ], + [ + 1031, + 3638 + ], + [ + 1234, + 3997 + ], + [ + 5652, + 6653 + ], + [ + 3105, + 5882 + ], + [ + 6859, + 9312 + ], + [ + 5687, + 9091 + ], + [ + 5274, + 7232 + ], + [ + 2199, + 9752 + ], + [ + 1853, + 2699 + ], + [ + 6426, + 9430 + ], + [ + 1081, + 9767 + ], + [ + 410, + 7118 + ], + [ + 7581, + 9647 + ], + [ + 8690, + 11017 + ], + [ + 1159, + 8145 + ], + [ + 1441, + 7077 + ], + [ + 4237, + 9306 + ], + [ + 6857, + 8835 + ], + [ + 4431, + 6139 + ], + [ + 1067, + 8556 + ], + [ + 7564, + 11171 + ], + [ + 389, + 5460 + ], + [ + 1275, + 2843 + ], + [ + 4671, + 9009 + ], + [ + 4304, + 7495 + ], + [ + 5730, + 11016 + ], + [ + 8285, + 10150 + ], + [ + 1556, + 8720 + ], + [ + 2365, + 4163 + ], + [ + 8935, + 11198 + ], + [ + 5110, + 9056 + ], + [ + 1368, + 9423 + ], + [ + 2648, + 6703 + ], + [ + 7524, + 10991 + ], + [ + 5046, + 11515 + ], + [ + 6655, + 8327 + ], + [ + 3570, + 5995 + ], + [ + 4571, + 8778 + ], + [ + 834, + 5702 + ], + [ + 1333, + 7335 + ], + [ + 3322, + 3614 + ], + [ + 1481, + 3069 + ], + [ + 8382, + 9709 + ], + [ + 2317, + 3341 + ], + [ + 4377, + 8131 + ], + [ + 6087, + 9159 + ], + [ + 323, + 10101 + ], + [ + 2537, + 8942 + ], + [ + 944, + 2837 + ], + [ + 2038, + 7309 + ], + [ + 3411, + 5534 + ], + [ + 608, + 7052 + ], + [ + 10159, + 11178 + ], + [ + 8450, + 11506 + ], + [ + 4718, + 5391 + ], + [ + 224, + 10095 + ], + [ + 6201, + 9446 + ], + [ + 3030, + 5842 + ], + [ + 6977, + 9667 + ], + [ + 5182, + 10221 + ], + [ + 11374, + 11446 + ], + [ + 3838, + 4066 + ], + [ + 3678, + 6817 + ], + [ + 4667, + 7331 + ], + [ + 6601, + 7286 + ], + [ + 5570, + 6546 + ], + [ + 2399, + 2942 + ], + [ + 5317, + 6100 + ], + [ + 1831, + 3424 + ], + [ + 5936, + 7835 + ], + [ + 5000, + 10365 + ], + [ + 10111, + 11487 + ], + [ + 3012, + 4862 + ], + [ + 1487, + 2833 + ], + [ + 368, + 5656 + ], + [ + 6027, + 11336 + ], + [ + 6778, + 9026 + ], + [ + 6357, + 6552 + ], + [ + 2659, + 6437 + ], + [ + 6764, + 10848 + ], + [ + 1607, + 10482 + ], + [ + 3130, + 5268 + ], + [ + 2321, + 9825 + ], + [ + 1724, + 5405 + ], + [ + 576, + 9742 + ], + [ + 9566, + 9859 + ], + [ + 5992, + 11500 + ], + [ + 2933, + 8137 + ], + [ + 7263, + 8694 + ], + [ + 539, + 4198 + ], + [ + 4126, + 6926 + ], + [ + 5736, + 10756 + ], + [ + 8687, + 9890 + ], + [ + 7726, + 9889 + ], + [ + 5355, + 11064 + ], + [ + 5814, + 9134 + ], + [ + 5232, + 5746 + ], + [ + 2527, + 3635 + ], + [ + 1615, + 4307 + ], + [ + 4662, + 9565 + ], + [ + 6511, + 9971 + ], + [ + 5041, + 5397 + ], + [ + 4002, + 4796 + ], + [ + 3913, + 11140 + ], + [ + 3844, + 6839 + ], + [ + 4059, + 4549 + ], + [ + 9322, + 9475 + ], + [ + 4803, + 5232 + ], + [ + 3065, + 6320 + ], + [ + 852, + 11087 + ], + [ + 4281, + 6059 + ], + [ + 8904, + 9901 + ], + [ + 8009, + 8268 + ], + [ + 1851, + 3621 + ], + [ + 7979, + 10311 + ], + [ + 1620, + 3496 + ], + [ + 6036, + 9489 + ], + [ + 1024, + 6094 + ], + [ + 2627, + 9477 + ], + [ + 5325, + 10417 + ], + [ + 4482, + 6722 + ], + [ + 122, + 7454 + ], + [ + 3865, + 11449 + ], + [ + 4137, + 9693 + ], + [ + 938, + 10457 + ], + [ + 1590, + 8168 + ], + [ + 563, + 4918 + ], + [ + 1127, + 6946 + ], + [ + 318, + 10749 + ], + [ + 3038, + 7506 + ], + [ + 3630, + 5166 + ], + [ + 933, + 7080 + ], + [ + 3763, + 10391 + ], + [ + 458, + 3589 + ], + [ + 1705, + 9811 + ], + [ + 3102, + 8430 + ], + [ + 4043, + 6244 + ], + [ + 1698, + 2224 + ], + [ + 992, + 7660 + ], + [ + 7934, + 10137 + ], + [ + 8613, + 9671 + ], + [ + 1352, + 4970 + ], + [ + 9323, + 11524 + ], + [ + 5992, + 6507 + ], + [ + 572, + 7259 + ], + [ + 4307, + 10639 + ], + [ + 411, + 3369 + ], + [ + 2780, + 6285 + ], + [ + 3812, + 9879 + ], + [ + 1716, + 8815 + ], + [ + 4116, + 11044 + ], + [ + 4427, + 8462 + ], + [ + 4957, + 5244 + ], + [ + 3025, + 3083 + ], + [ + 7324, + 10743 + ], + [ + 7871, + 10912 + ], + [ + 10087, + 10580 + ], + [ + 4049, + 6035 + ], + [ + 928, + 8964 + ], + [ + 5816, + 9849 + ], + [ + 3178, + 9714 + ], + [ + 1268, + 11284 + ], + [ + 1638, + 4401 + ], + [ + 299, + 5006 + ], + [ + 7592, + 8464 + ], + [ + 1799, + 5258 + ], + [ + 1833, + 10504 + ], + [ + 556, + 6325 + ], + [ + 1609, + 8544 + ], + [ + 2137, + 4499 + ], + [ + 3439, + 10428 + ], + [ + 6111, + 10147 + ], + [ + 669, + 752 + ], + [ + 3072, + 8914 + ], + [ + 2420, + 4787 + ], + [ + 6860, + 11174 + ], + [ + 4532, + 9013 + ], + [ + 10139, + 10339 + ], + [ + 2223, + 7656 + ], + [ + 5712, + 9849 + ], + [ + 5216, + 5481 + ], + [ + 2031, + 10115 + ], + [ + 3870, + 9833 + ], + [ + 2163, + 6070 + ], + [ + 1853, + 5090 + ], + [ + 1277, + 11346 + ], + [ + 1024, + 4484 + ], + [ + 2773, + 7692 + ], + [ + 4891, + 10235 + ], + [ + 3945, + 7913 + ], + [ + 3867, + 6502 + ], + [ + 784, + 4997 + ], + [ + 5939, + 7946 + ], + [ + 2029, + 10392 + ], + [ + 1766, + 5094 + ], + [ + 1991, + 7656 + ], + [ + 1562, + 10926 + ], + [ + 7813, + 10102 + ], + [ + 55, + 8005 + ], + [ + 1460, + 4233 + ], + [ + 300, + 1393 + ], + [ + 5336, + 6313 + ], + [ + 6619, + 8028 + ], + [ + 819, + 9313 + ], + [ + 3868, + 8982 + ], + [ + 4991, + 8530 + ], + [ + 1536, + 11583 + ], + [ + 2248, + 7847 + ], + [ + 99, + 3739 + ], + [ + 6234, + 10846 + ], + [ + 2810, + 9048 + ], + [ + 494, + 4268 + ], + [ + 564, + 5007 + ], + [ + 696, + 11542 + ], + [ + 5292, + 6391 + ], + [ + 1842, + 6378 + ], + [ + 6630, + 7813 + ], + [ + 9931, + 10709 + ], + [ + 251, + 10145 + ], + [ + 1736, + 8611 + ], + [ + 5638, + 6247 + ], + [ + 5848, + 7777 + ], + [ + 2579, + 3638 + ], + [ + 965, + 2318 + ], + [ + 9144, + 10329 + ], + [ + 2800, + 8710 + ], + [ + 2743, + 8176 + ], + [ + 3163, + 6318 + ], + [ + 3192, + 5558 + ], + [ + 1075, + 10033 + ], + [ + 491, + 3566 + ], + [ + 4524, + 6411 + ], + [ + 4224, + 6119 + ], + [ + 2254, + 10644 + ], + [ + 1108, + 9392 + ], + [ + 5679, + 8880 + ], + [ + 142, + 9047 + ], + [ + 3031, + 7303 + ], + [ + 954, + 8925 + ], + [ + 4430, + 5995 + ], + [ + 5368, + 7675 + ], + [ + 289, + 9474 + ], + [ + 796, + 10968 + ], + [ + 1560, + 9674 + ], + [ + 5307, + 10405 + ], + [ + 6330, + 10503 + ], + [ + 7078, + 7922 + ], + [ + 2926, + 2941 + ], + [ + 7812, + 7917 + ], + [ + 5298, + 9538 + ], + [ + 95, + 2411 + ], + [ + 4356, + 7335 + ], + [ + 6228, + 6439 + ], + [ + 1249, + 11071 + ], + [ + 5726, + 10924 + ], + [ + 2509, + 6975 + ], + [ + 2460, + 11220 + ], + [ + 1056, + 11430 + ], + [ + 3671, + 10615 + ], + [ + 7964, + 11290 + ], + [ + 3467, + 10061 + ], + [ + 4463, + 7582 + ], + [ + 224, + 727 + ], + [ + 3840, + 8357 + ], + [ + 1541, + 7688 + ], + [ + 4034, + 5190 + ], + [ + 820, + 11338 + ], + [ + 1386, + 10029 + ], + [ + 2217, + 3541 + ], + [ + 4462, + 8111 + ], + [ + 229, + 10870 + ], + [ + 662, + 6965 + ], + [ + 2783, + 9779 + ], + [ + 1350, + 5087 + ], + [ + 3686, + 11273 + ], + [ + 1100, + 10574 + ], + [ + 7507, + 9509 + ], + [ + 7629, + 11192 + ], + [ + 690, + 5980 + ], + [ + 1120, + 5564 + ], + [ + 3642, + 4558 + ], + [ + 963, + 7832 + ], + [ + 8194, + 9658 + ], + [ + 813, + 10517 + ], + [ + 7723, + 8575 + ], + [ + 9089, + 11291 + ], + [ + 1709, + 2926 + ], + [ + 3274, + 9235 + ], + [ + 2806, + 7669 + ], + [ + 5127, + 6407 + ], + [ + 4750, + 9867 + ], + [ + 1546, + 11041 + ], + [ + 3134, + 6222 + ], + [ + 6905, + 11511 + ], + [ + 2447, + 5292 + ], + [ + 6440, + 9462 + ], + [ + 1643, + 7941 + ], + [ + 1571, + 5621 + ], + [ + 6956, + 8066 + ], + [ + 5526, + 7055 + ], + [ + 6210, + 9939 + ], + [ + 6709, + 11572 + ], + [ + 577, + 1730 + ], + [ + 1542, + 4102 + ], + [ + 583, + 11344 + ], + [ + 5462, + 8733 + ], + [ + 950, + 9825 + ], + [ + 1005, + 9532 + ], + [ + 1375, + 1895 + ], + [ + 5172, + 9159 + ], + [ + 3090, + 6273 + ], + [ + 4301, + 5668 + ], + [ + 3389, + 6340 + ], + [ + 10993, + 11380 + ], + [ + 1652, + 10282 + ], + [ + 6162, + 6865 + ], + [ + 1282, + 5087 + ], + [ + 1925, + 5718 + ], + [ + 7623, + 9818 + ], + [ + 6446, + 9253 + ], + [ + 3607, + 4698 + ], + [ + 2764, + 3255 + ], + [ + 2519, + 6834 + ], + [ + 2918, + 7105 + ], + [ + 7630, + 10208 + ], + [ + 4223, + 10299 + ], + [ + 3036, + 4882 + ], + [ + 8400, + 9860 + ], + [ + 14, + 4784 + ], + [ + 5273, + 8056 + ], + [ + 1075, + 1202 + ], + [ + 4428, + 9950 + ], + [ + 1881, + 2763 + ], + [ + 1137, + 5463 + ], + [ + 2852, + 9087 + ], + [ + 5648, + 11316 + ], + [ + 2246, + 6833 + ], + [ + 5050, + 6671 + ], + [ + 6796, + 9608 + ], + [ + 5053, + 6188 + ], + [ + 373, + 5252 + ], + [ + 1744, + 9066 + ], + [ + 2152, + 4919 + ], + [ + 814, + 9132 + ], + [ + 4761, + 5787 + ], + [ + 5727, + 9515 + ], + [ + 1238, + 1731 + ], + [ + 3737, + 9601 + ], + [ + 0, + 3142 + ], + [ + 2020, + 5150 + ], + [ + 337, + 5945 + ], + [ + 261, + 473 + ], + [ + 7929, + 10224 + ], + [ + 5121, + 10644 + ], + [ + 6236, + 10331 + ], + [ + 7516, + 7611 + ], + [ + 7086, + 8781 + ], + [ + 184, + 9086 + ], + [ + 1331, + 10940 + ], + [ + 5558, + 10618 + ], + [ + 7490, + 9773 + ], + [ + 1671, + 6844 + ], + [ + 6578, + 10445 + ], + [ + 3596, + 5582 + ], + [ + 10430, + 11000 + ], + [ + 2589, + 9400 + ], + [ + 3709, + 7179 + ], + [ + 6854, + 9562 + ], + [ + 5238, + 11579 + ], + [ + 3521, + 3718 + ], + [ + 1621, + 10140 + ], + [ + 504, + 10380 + ], + [ + 4619, + 9063 + ], + [ + 5221, + 6687 + ], + [ + 7564, + 8382 + ], + [ + 1091, + 4663 + ], + [ + 5504, + 9227 + ], + [ + 466, + 11027 + ], + [ + 4728, + 6754 + ], + [ + 1393, + 4247 + ], + [ + 308, + 6654 + ], + [ + 3381, + 6717 + ], + [ + 736, + 3159 + ], + [ + 3382, + 3909 + ], + [ + 121, + 10211 + ], + [ + 2783, + 2826 + ], + [ + 537, + 5201 + ], + [ + 5963, + 7647 + ], + [ + 8105, + 10584 + ], + [ + 1042, + 10032 + ], + [ + 139, + 2122 + ], + [ + 2004, + 2307 + ], + [ + 261, + 3051 + ], + [ + 5482, + 10003 + ], + [ + 1442, + 10905 + ], + [ + 3617, + 5654 + ], + [ + 5891, + 8710 + ], + [ + 654, + 2753 + ], + [ + 4867, + 9141 + ], + [ + 5610, + 6970 + ], + [ + 1995, + 7856 + ], + [ + 4295, + 5717 + ], + [ + 1616, + 4827 + ], + [ + 788, + 9334 + ], + [ + 28, + 3230 + ], + [ + 410, + 3524 + ], + [ + 714, + 6187 + ], + [ + 9843, + 9846 + ], + [ + 5077, + 9136 + ], + [ + 68, + 10176 + ], + [ + 9402, + 10103 + ], + [ + 1623, + 9381 + ], + [ + 4414, + 7102 + ], + [ + 334, + 10103 + ], + [ + 2109, + 11526 + ], + [ + 2699, + 6107 + ], + [ + 8203, + 9964 + ], + [ + 2298, + 5763 + ], + [ + 7993, + 9188 + ], + [ + 5647, + 11359 + ], + [ + 7374, + 10082 + ], + [ + 2378, + 7220 + ], + [ + 3253, + 6666 + ], + [ + 1766, + 5875 + ], + [ + 1009, + 9868 + ], + [ + 1408, + 7133 + ], + [ + 2383, + 10947 + ], + [ + 1977, + 10259 + ], + [ + 3157, + 10341 + ], + [ + 39, + 9781 + ], + [ + 7795, + 8799 + ], + [ + 1224, + 10961 + ], + [ + 7850, + 8506 + ], + [ + 2497, + 4818 + ], + [ + 1709, + 8000 + ], + [ + 1755, + 8345 + ], + [ + 6519, + 7474 + ], + [ + 4306, + 5825 + ], + [ + 104, + 7897 + ], + [ + 4056, + 9060 + ], + [ + 2717, + 10419 + ], + [ + 1783, + 3196 + ], + [ + 1067, + 7190 + ], + [ + 1564, + 7996 + ], + [ + 3174, + 7662 + ], + [ + 1555, + 3746 + ], + [ + 2365, + 2797 + ], + [ + 4390, + 5149 + ], + [ + 1623, + 8576 + ], + [ + 7008, + 11021 + ], + [ + 1857, + 4084 + ], + [ + 1179, + 5152 + ], + [ + 4076, + 9685 + ], + [ + 7591, + 10847 + ], + [ + 2801, + 6333 + ], + [ + 7904, + 9092 + ], + [ + 578, + 9658 + ], + [ + 361, + 11121 + ], + [ + 6715, + 7012 + ], + [ + 7935, + 10657 + ], + [ + 4533, + 11092 + ], + [ + 7158, + 10965 + ], + [ + 10546, + 10854 + ], + [ + 1759, + 11096 + ], + [ + 1361, + 10269 + ], + [ + 2378, + 6415 + ], + [ + 299, + 7210 + ], + [ + 4652, + 5307 + ], + [ + 8571, + 11248 + ], + [ + 4190, + 11103 + ], + [ + 3725, + 9054 + ], + [ + 4778, + 7109 + ], + [ + 754, + 1374 + ], + [ + 4556, + 8982 + ], + [ + 1287, + 8253 + ], + [ + 941, + 1200 + ], + [ + 1961, + 4033 + ], + [ + 3275, + 11477 + ], + [ + 2898, + 11527 + ], + [ + 9195, + 10294 + ], + [ + 4176, + 5728 + ], + [ + 3620, + 7725 + ], + [ + 2221, + 9033 + ], + [ + 2405, + 4424 + ], + [ + 9182, + 9308 + ], + [ + 99, + 6748 + ], + [ + 6788, + 8779 + ], + [ + 5606, + 7870 + ], + [ + 9363, + 10817 + ], + [ + 2401, + 11071 + ], + [ + 710, + 1425 + ], + [ + 2131, + 2350 + ], + [ + 122, + 8048 + ], + [ + 893, + 3761 + ], + [ + 1323, + 9761 + ], + [ + 4186, + 6042 + ], + [ + 736, + 10193 + ], + [ + 11449, + 11543 + ], + [ + 420, + 10896 + ], + [ + 3565, + 6863 + ], + [ + 731, + 9068 + ], + [ + 5435, + 5894 + ], + [ + 11118, + 11214 + ], + [ + 1362, + 5902 + ], + [ + 5400, + 9091 + ], + [ + 3459, + 9096 + ], + [ + 3185, + 4363 + ], + [ + 4864, + 6078 + ], + [ + 9292, + 9422 + ], + [ + 6293, + 6864 + ], + [ + 6697, + 10889 + ], + [ + 4209, + 7315 + ], + [ + 508, + 6929 + ], + [ + 8849, + 8852 + ], + [ + 900, + 3777 + ], + [ + 65, + 6359 + ], + [ + 4382, + 8963 + ], + [ + 10493, + 11512 + ], + [ + 2921, + 8639 + ], + [ + 5178, + 10560 + ], + [ + 8124, + 9350 + ], + [ + 3955, + 9650 + ], + [ + 8929, + 10309 + ], + [ + 3077, + 9152 + ], + [ + 2368, + 4491 + ], + [ + 7185, + 10828 + ], + [ + 3303, + 8152 + ], + [ + 6448, + 10535 + ], + [ + 3164, + 5364 + ], + [ + 1362, + 11163 + ], + [ + 744, + 10030 + ], + [ + 925, + 1740 + ], + [ + 9859, + 10593 + ], + [ + 5437, + 10447 + ], + [ + 3164, + 8747 + ], + [ + 3410, + 5770 + ], + [ + 1140, + 9249 + ], + [ + 3072, + 9158 + ], + [ + 5185, + 7193 + ], + [ + 1195, + 6704 + ], + [ + 7609, + 9816 + ], + [ + 6210, + 10370 + ], + [ + 8199, + 10813 + ], + [ + 9658, + 10310 + ], + [ + 1977, + 10877 + ], + [ + 5430, + 11161 + ], + [ + 4714, + 10991 + ], + [ + 1319, + 8433 + ], + [ + 1324, + 8777 + ], + [ + 127, + 420 + ], + [ + 2526, + 10338 + ], + [ + 1812, + 5333 + ], + [ + 7574, + 7728 + ], + [ + 2773, + 10969 + ], + [ + 4588, + 9539 + ], + [ + 5111, + 11566 + ], + [ + 2685, + 8870 + ], + [ + 4392, + 5463 + ], + [ + 2801, + 9984 + ], + [ + 1524, + 5051 + ], + [ + 4846, + 6572 + ], + [ + 3133, + 9410 + ], + [ + 3081, + 9220 + ], + [ + 3640, + 10904 + ], + [ + 4941, + 6809 + ], + [ + 3999, + 4606 + ], + [ + 555, + 5539 + ], + [ + 1042, + 5657 + ], + [ + 9634, + 10609 + ], + [ + 7428, + 10131 + ], + [ + 6802, + 10608 + ], + [ + 7079, + 9196 + ], + [ + 5768, + 9597 + ], + [ + 419, + 3399 + ], + [ + 8469, + 10808 + ], + [ + 7657, + 8678 + ], + [ + 4424, + 10612 + ], + [ + 7070, + 11362 + ], + [ + 8732, + 9690 + ], + [ + 3771, + 8512 + ], + [ + 122, + 1900 + ], + [ + 1164, + 6936 + ], + [ + 5887, + 10228 + ], + [ + 4736, + 5222 + ], + [ + 9476, + 10373 + ], + [ + 2936, + 5432 + ], + [ + 4106, + 8990 + ], + [ + 7600, + 11527 + ], + [ + 6165, + 10172 + ], + [ + 3894, + 4381 + ], + [ + 2020, + 8614 + ], + [ + 2873, + 10745 + ], + [ + 9580, + 9972 + ], + [ + 996, + 8291 + ], + [ + 1462, + 9784 + ], + [ + 2211, + 5176 + ], + [ + 7186, + 9443 + ], + [ + 461, + 2470 + ], + [ + 6715, + 6825 + ], + [ + 5056, + 6516 + ], + [ + 4852, + 5932 + ], + [ + 955, + 8640 + ], + [ + 296, + 3342 + ], + [ + 4910, + 10074 + ], + [ + 4895, + 9042 + ], + [ + 6088, + 7077 + ], + [ + 8357, + 9789 + ], + [ + 1810, + 10093 + ], + [ + 9253, + 10866 + ], + [ + 5557, + 10824 + ], + [ + 163, + 7135 + ], + [ + 3896, + 9688 + ], + [ + 2924, + 3139 + ], + [ + 5009, + 6296 + ], + [ + 5019, + 6984 + ], + [ + 7531, + 9454 + ], + [ + 4549, + 8755 + ], + [ + 1522, + 4149 + ], + [ + 2862, + 5644 + ], + [ + 1618, + 3857 + ], + [ + 7758, + 11308 + ], + [ + 716, + 5217 + ], + [ + 4260, + 7871 + ], + [ + 2270, + 11367 + ], + [ + 6998, + 9341 + ], + [ + 5974, + 9018 + ], + [ + 2235, + 6650 + ], + [ + 7737, + 9680 + ], + [ + 2456, + 7558 + ], + [ + 2597, + 6285 + ], + [ + 2256, + 10156 + ], + [ + 6868, + 10399 + ], + [ + 6116, + 8320 + ], + [ + 9256, + 10359 + ], + [ + 3368, + 9545 + ], + [ + 1014, + 8415 + ], + [ + 4608, + 7426 + ], + [ + 7326, + 8244 + ], + [ + 5366, + 7041 + ], + [ + 6448, + 9998 + ], + [ + 4705, + 10742 + ], + [ + 6195, + 10306 + ], + [ + 63, + 2716 + ], + [ + 9023, + 10538 + ], + [ + 5814, + 10614 + ], + [ + 9179, + 10297 + ], + [ + 2431, + 4653 + ], + [ + 7059, + 8839 + ], + [ + 4612, + 5266 + ], + [ + 4176, + 8119 + ], + [ + 1179, + 6388 + ], + [ + 7565, + 10862 + ], + [ + 5574, + 7340 + ], + [ + 1761, + 8241 + ], + [ + 1854, + 5022 + ], + [ + 6336, + 9383 + ], + [ + 4252, + 9834 + ], + [ + 637, + 11474 + ], + [ + 114, + 3031 + ], + [ + 707, + 3545 + ], + [ + 2477, + 7630 + ], + [ + 7422, + 7551 + ], + [ + 2876, + 11311 + ], + [ + 7306, + 9820 + ], + [ + 4472, + 11271 + ], + [ + 10540, + 10740 + ], + [ + 1758, + 11326 + ], + [ + 6178, + 8393 + ], + [ + 944, + 9123 + ], + [ + 3466, + 11527 + ], + [ + 2315, + 9931 + ], + [ + 3153, + 6866 + ], + [ + 128, + 9503 + ], + [ + 3211, + 4592 + ], + [ + 5733, + 6996 + ], + [ + 5327, + 6308 + ], + [ + 4619, + 10917 + ], + [ + 4834, + 6375 + ], + [ + 187, + 3667 + ], + [ + 2275, + 3335 + ], + [ + 1316, + 4915 + ], + [ + 3420, + 11532 + ], + [ + 3630, + 6646 + ], + [ + 10706, + 11567 + ], + [ + 247, + 685 + ], + [ + 30, + 7066 + ], + [ + 524, + 3437 + ], + [ + 1022, + 7097 + ], + [ + 714, + 2780 + ], + [ + 4919, + 5143 + ], + [ + 4002, + 5471 + ], + [ + 951, + 8385 + ], + [ + 1331, + 8606 + ], + [ + 23, + 2862 + ], + [ + 1361, + 10700 + ], + [ + 8491, + 10222 + ], + [ + 3658, + 4126 + ], + [ + 4007, + 9198 + ], + [ + 5404, + 7817 + ], + [ + 3074, + 11245 + ], + [ + 956, + 6450 + ], + [ + 4381, + 11102 + ], + [ + 5305, + 11221 + ], + [ + 3130, + 5138 + ], + [ + 14, + 1995 + ], + [ + 1436, + 8026 + ], + [ + 1472, + 7683 + ], + [ + 4705, + 5749 + ], + [ + 8688, + 9231 + ], + [ + 3593, + 10497 + ], + [ + 2846, + 9516 + ], + [ + 4632, + 4712 + ], + [ + 3869, + 8860 + ], + [ + 5266, + 7479 + ], + [ + 371, + 5423 + ], + [ + 8772, + 11561 + ], + [ + 4293, + 10127 + ], + [ + 6292, + 11258 + ], + [ + 2118, + 2546 + ], + [ + 4578, + 11242 + ], + [ + 443, + 10372 + ], + [ + 5106, + 7197 + ], + [ + 2520, + 6498 + ], + [ + 2430, + 9988 + ], + [ + 3289, + 5548 + ], + [ + 1927, + 9367 + ], + [ + 280, + 5655 + ], + [ + 8919, + 11207 + ], + [ + 3566, + 7519 + ], + [ + 1577, + 4824 + ], + [ + 4866, + 9615 + ], + [ + 2701, + 11390 + ], + [ + 3339, + 5261 + ], + [ + 5677, + 5858 + ], + [ + 4180, + 5877 + ], + [ + 3865, + 10969 + ], + [ + 513, + 11491 + ], + [ + 4434, + 6925 + ], + [ + 2340, + 6688 + ], + [ + 8009, + 8138 + ], + [ + 9344, + 10043 + ], + [ + 1937, + 5517 + ], + [ + 6880, + 11027 + ], + [ + 1283, + 4727 + ], + [ + 283, + 4798 + ], + [ + 1434, + 4142 + ], + [ + 7421, + 11351 + ], + [ + 5363, + 10771 + ], + [ + 11020, + 11460 + ], + [ + 8124, + 9781 + ], + [ + 3574, + 10389 + ], + [ + 1554, + 1965 + ], + [ + 6786, + 7578 + ], + [ + 9649, + 11029 + ], + [ + 4066, + 4435 + ], + [ + 11362, + 11574 + ], + [ + 1266, + 8880 + ], + [ + 5730, + 8471 + ], + [ + 3380, + 4107 + ], + [ + 978, + 5969 + ], + [ + 427, + 1894 + ], + [ + 1041, + 3285 + ], + [ + 3410, + 6201 + ], + [ + 1202, + 4142 + ], + [ + 5677, + 8086 + ], + [ + 3321, + 10293 + ], + [ + 365, + 10815 + ], + [ + 8603, + 11105 + ], + [ + 921, + 2402 + ], + [ + 971, + 1765 + ], + [ + 2595, + 3773 + ], + [ + 568, + 594 + ], + [ + 6894, + 11433 + ], + [ + 2730, + 9825 + ], + [ + 69, + 3125 + ], + [ + 225, + 3638 + ], + [ + 8729, + 10655 + ], + [ + 2196, + 2721 + ], + [ + 5577, + 7855 + ], + [ + 198, + 9362 + ], + [ + 8914, + 9654 + ], + [ + 7794, + 10377 + ], + [ + 7632, + 11547 + ], + [ + 10252, + 11076 + ], + [ + 6300, + 7661 + ], + [ + 5183, + 7147 + ], + [ + 4019, + 10981 + ], + [ + 4022, + 4082 + ], + [ + 1396, + 3984 + ], + [ + 7280, + 8062 + ], + [ + 988, + 2469 + ], + [ + 1459, + 8470 + ], + [ + 2390, + 5596 + ], + [ + 1529, + 9963 + ], + [ + 2238, + 8208 + ], + [ + 3205, + 4991 + ], + [ + 8456, + 10654 + ], + [ + 8678, + 9535 + ], + [ + 963, + 4856 + ], + [ + 2487, + 8912 + ], + [ + 9073, + 10064 + ], + [ + 678, + 4872 + ], + [ + 419, + 6863 + ], + [ + 4376, + 11376 + ], + [ + 3034, + 6048 + ], + [ + 5714, + 9792 + ], + [ + 1698, + 11088 + ], + [ + 7601, + 8046 + ], + [ + 4798, + 9564 + ], + [ + 969, + 3516 + ], + [ + 194, + 11067 + ], + [ + 9411, + 9655 + ], + [ + 810, + 9121 + ], + [ + 2059, + 4836 + ], + [ + 3702, + 11058 + ], + [ + 4571, + 7306 + ], + [ + 4424, + 8010 + ], + [ + 8785, + 10132 + ], + [ + 4894, + 9622 + ], + [ + 3798, + 7733 + ], + [ + 3017, + 7922 + ], + [ + 5596, + 7450 + ], + [ + 5816, + 8914 + ], + [ + 2272, + 2850 + ], + [ + 6724, + 11506 + ], + [ + 1493, + 6495 + ], + [ + 433, + 7269 + ], + [ + 8239, + 11312 + ], + [ + 586, + 7511 + ], + [ + 7019, + 7667 + ], + [ + 5938, + 7564 + ], + [ + 3598, + 10304 + ], + [ + 246, + 10826 + ], + [ + 1762, + 10857 + ], + [ + 3161, + 10303 + ], + [ + 3100, + 10027 + ], + [ + 786, + 7572 + ], + [ + 4471, + 7425 + ], + [ + 8382, + 8587 + ], + [ + 5090, + 9160 + ], + [ + 1291, + 1823 + ], + [ + 3058, + 3385 + ], + [ + 1132, + 7428 + ], + [ + 2355, + 8338 + ], + [ + 3969, + 9658 + ], + [ + 2384, + 6824 + ], + [ + 3771, + 4755 + ], + [ + 9008, + 10712 + ], + [ + 4273, + 10069 + ], + [ + 1589, + 8835 + ], + [ + 4868, + 7246 + ], + [ + 2934, + 11428 + ], + [ + 4173, + 6455 + ], + [ + 2471, + 3036 + ], + [ + 10908, + 11083 + ], + [ + 3522, + 5182 + ], + [ + 2457, + 4858 + ], + [ + 1650, + 6078 + ], + [ + 3437, + 9016 + ], + [ + 409, + 1556 + ], + [ + 6823, + 8078 + ], + [ + 8836, + 8915 + ], + [ + 6857, + 6908 + ], + [ + 6650, + 9089 + ], + [ + 2887, + 7825 + ], + [ + 1434, + 11526 + ], + [ + 1584, + 8841 + ], + [ + 2301, + 6947 + ], + [ + 959, + 8789 + ], + [ + 5909, + 11306 + ], + [ + 2420, + 2697 + ], + [ + 1356, + 5227 + ], + [ + 2261, + 8302 + ], + [ + 6901, + 9839 + ], + [ + 2976, + 9745 + ], + [ + 2606, + 4550 + ], + [ + 5687, + 9392 + ], + [ + 3073, + 6645 + ], + [ + 5621, + 11024 + ], + [ + 1256, + 11412 + ], + [ + 115, + 11258 + ], + [ + 3907, + 4592 + ], + [ + 7451, + 10656 + ], + [ + 4032, + 9202 + ], + [ + 5703, + 6892 + ], + [ + 3184, + 7415 + ], + [ + 4878, + 10162 + ], + [ + 3208, + 5557 + ], + [ + 6024, + 9162 + ], + [ + 4405, + 8252 + ], + [ + 9097, + 9979 + ], + [ + 6915, + 9141 + ], + [ + 5578, + 11327 + ], + [ + 1436, + 7034 + ], + [ + 2310, + 3626 + ], + [ + 2442, + 10161 + ], + [ + 2458, + 4278 + ], + [ + 2777, + 5721 + ], + [ + 6, + 2990 + ], + [ + 3330, + 7590 + ], + [ + 2612, + 11511 + ], + [ + 1200, + 1280 + ], + [ + 10055, + 11530 + ], + [ + 559, + 7111 + ], + [ + 2644, + 3098 + ], + [ + 6345, + 7648 + ], + [ + 646, + 9739 + ], + [ + 6933, + 7818 + ], + [ + 5720, + 7596 + ], + [ + 1088, + 3668 + ], + [ + 9226, + 10924 + ], + [ + 5284, + 8197 + ], + [ + 3190, + 10212 + ], + [ + 2853, + 5157 + ], + [ + 392, + 11320 + ], + [ + 53, + 5438 + ], + [ + 1331, + 6809 + ], + [ + 1195, + 6948 + ], + [ + 5772, + 8136 + ], + [ + 1169, + 5700 + ], + [ + 1883, + 4289 + ], + [ + 3149, + 3391 + ], + [ + 5142, + 11123 + ], + [ + 151, + 8605 + ], + [ + 1408, + 8345 + ], + [ + 252, + 2241 + ], + [ + 3046, + 10059 + ], + [ + 6853, + 10841 + ], + [ + 525, + 10509 + ], + [ + 2574, + 4587 + ], + [ + 4483, + 9208 + ], + [ + 407, + 3283 + ], + [ + 1145, + 6430 + ], + [ + 5076, + 9722 + ], + [ + 5320, + 5918 + ], + [ + 2302, + 9726 + ], + [ + 5323, + 9599 + ], + [ + 1457, + 7456 + ], + [ + 3795, + 8053 + ], + [ + 4653, + 9804 + ], + [ + 728, + 4048 + ], + [ + 1786, + 3201 + ], + [ + 2699, + 3131 + ], + [ + 6869, + 8691 + ], + [ + 1816, + 5295 + ], + [ + 6368, + 11149 + ], + [ + 7942, + 8152 + ], + [ + 3341, + 6543 + ], + [ + 4578, + 4907 + ], + [ + 3960, + 6026 + ], + [ + 4077, + 6611 + ], + [ + 4615, + 9670 + ], + [ + 2494, + 5358 + ], + [ + 7571, + 9148 + ], + [ + 821, + 1179 + ], + [ + 5361, + 11180 + ], + [ + 2005, + 7796 + ], + [ + 4543, + 11487 + ], + [ + 3734, + 8874 + ], + [ + 4073, + 6842 + ], + [ + 6760, + 7593 + ], + [ + 3577, + 8890 + ], + [ + 7102, + 10740 + ], + [ + 127, + 6625 + ], + [ + 7527, + 9980 + ], + [ + 4941, + 9281 + ], + [ + 3829, + 9865 + ], + [ + 4882, + 7920 + ], + [ + 1582, + 8632 + ], + [ + 4445, + 5667 + ], + [ + 656, + 5434 + ], + [ + 3395, + 6375 + ], + [ + 1241, + 6087 + ], + [ + 8708, + 11418 + ], + [ + 9427, + 10351 + ], + [ + 2638, + 4706 + ], + [ + 1576, + 1647 + ], + [ + 2327, + 9917 + ], + [ + 457, + 5224 + ], + [ + 3846, + 10219 + ], + [ + 1977, + 6128 + ], + [ + 4587, + 4969 + ], + [ + 3160, + 9891 + ], + [ + 2348, + 7761 + ], + [ + 5586, + 6171 + ], + [ + 7676, + 9672 + ], + [ + 1389, + 2171 + ], + [ + 2682, + 10266 + ], + [ + 6629, + 7675 + ], + [ + 780, + 6035 + ], + [ + 630, + 9474 + ], + [ + 2684, + 10312 + ], + [ + 1960, + 3865 + ], + [ + 4482, + 7023 + ], + [ + 3215, + 3532 + ], + [ + 2150, + 3962 + ], + [ + 690, + 10656 + ], + [ + 5198, + 6412 + ], + [ + 1345, + 8638 + ], + [ + 703, + 4475 + ], + [ + 5025, + 7423 + ], + [ + 3395, + 5570 + ], + [ + 5317, + 11207 + ], + [ + 9797, + 10577 + ], + [ + 5747, + 10037 + ], + [ + 2416, + 5020 + ], + [ + 5571, + 8091 + ], + [ + 9148, + 10131 + ], + [ + 2478, + 5898 + ], + [ + 3468, + 10020 + ], + [ + 6156, + 7963 + ], + [ + 270, + 7976 + ], + [ + 4241, + 9943 + ], + [ + 634, + 2776 + ], + [ + 4155, + 7136 + ], + [ + 812, + 11184 + ], + [ + 5803, + 7286 + ], + [ + 2220, + 11093 + ], + [ + 1590, + 10697 + ], + [ + 8031, + 9216 + ], + [ + 1025, + 9198 + ], + [ + 2952, + 3845 + ], + [ + 2833, + 6597 + ], + [ + 4352, + 6145 + ], + [ + 5195, + 7588 + ], + [ + 9897, + 10757 + ], + [ + 8030, + 8991 + ], + [ + 2584, + 9276 + ], + [ + 2701, + 3445 + ], + [ + 1768, + 3240 + ], + [ + 3237, + 4179 + ], + [ + 9794, + 10255 + ], + [ + 3846, + 5226 + ], + [ + 356, + 9224 + ], + [ + 5430, + 7835 + ], + [ + 6799, + 10822 + ], + [ + 3170, + 5586 + ], + [ + 2718, + 4553 + ], + [ + 8770, + 9905 + ], + [ + 1912, + 5621 + ], + [ + 2598, + 9332 + ], + [ + 4618, + 11340 + ], + [ + 2813, + 11206 + ], + [ + 3837, + 4359 + ], + [ + 2930, + 5375 + ], + [ + 5524, + 10099 + ], + [ + 3581, + 10031 + ], + [ + 2774, + 8245 + ], + [ + 9281, + 10794 + ], + [ + 5143, + 10407 + ], + [ + 163, + 5769 + ], + [ + 5910, + 6378 + ], + [ + 5734, + 10848 + ], + [ + 8447, + 10568 + ], + [ + 873, + 1206 + ], + [ + 6345, + 9689 + ], + [ + 6845, + 10012 + ], + [ + 965, + 6807 + ], + [ + 545, + 7941 + ], + [ + 1085, + 5411 + ], + [ + 1890, + 10534 + ], + [ + 4293, + 5110 + ], + [ + 675, + 817 + ], + [ + 793, + 11426 + ], + [ + 584, + 11252 + ], + [ + 3225, + 9406 + ], + [ + 6960, + 7868 + ], + [ + 5859, + 8641 + ], + [ + 3130, + 5382 + ], + [ + 3348, + 6773 + ], + [ + 3346, + 10864 + ], + [ + 2532, + 7907 + ], + [ + 1009, + 6705 + ], + [ + 1840, + 6633 + ], + [ + 7791, + 11179 + ], + [ + 976, + 4313 + ], + [ + 8317, + 10471 + ], + [ + 1247, + 2332 + ], + [ + 4947, + 9663 + ], + [ + 2684, + 7897 + ], + [ + 4948, + 6101 + ], + [ + 5132, + 8662 + ], + [ + 5825, + 6374 + ], + [ + 6308, + 9002 + ], + [ + 1196, + 1993 + ], + [ + 4559, + 5767 + ], + [ + 7031, + 8808 + ], + [ + 168, + 4934 + ], + [ + 3942, + 9740 + ], + [ + 3009, + 9535 + ], + [ + 3121, + 4114 + ], + [ + 3315, + 7363 + ], + [ + 7831, + 10554 + ], + [ + 7382, + 9038 + ], + [ + 1692, + 5957 + ], + [ + 16, + 4513 + ], + [ + 410, + 7850 + ], + [ + 10279, + 11319 + ], + [ + 5764, + 8730 + ], + [ + 7016, + 10378 + ], + [ + 5294, + 5583 + ], + [ + 2341, + 9786 + ], + [ + 4643, + 10726 + ], + [ + 591, + 9359 + ], + [ + 756, + 1290 + ], + [ + 4641, + 7647 + ], + [ + 5038, + 11255 + ], + [ + 3147, + 5685 + ], + [ + 4210, + 4428 + ], + [ + 9869, + 10108 + ], + [ + 5579, + 11579 + ], + [ + 1744, + 8749 + ], + [ + 7747, + 10075 + ], + [ + 4977, + 6815 + ], + [ + 692, + 7132 + ], + [ + 1246, + 8472 + ], + [ + 2586, + 10721 + ], + [ + 344, + 9832 + ], + [ + 6839, + 10866 + ], + [ + 239, + 5874 + ], + [ + 1025, + 6783 + ], + [ + 4920, + 9664 + ], + [ + 7277, + 8059 + ], + [ + 1332, + 6711 + ], + [ + 3999, + 6086 + ], + [ + 81, + 7917 + ], + [ + 2116, + 10957 + ], + [ + 45, + 1844 + ], + [ + 5316, + 6631 + ], + [ + 1770, + 3904 + ], + [ + 2112, + 7805 + ], + [ + 5393, + 8571 + ], + [ + 4534, + 6595 + ], + [ + 2199, + 9679 + ], + [ + 5150, + 8813 + ], + [ + 1347, + 11156 + ], + [ + 8317, + 8511 + ], + [ + 5118, + 10029 + ], + [ + 7179, + 7874 + ], + [ + 5698, + 6174 + ], + [ + 2468, + 7625 + ], + [ + 1791, + 11547 + ], + [ + 1289, + 3981 + ], + [ + 189, + 5356 + ], + [ + 9708, + 10698 + ], + [ + 6609, + 8660 + ], + [ + 3985, + 5225 + ], + [ + 3582, + 4054 + ], + [ + 9554, + 10231 + ], + [ + 8129, + 9564 + ], + [ + 2086, + 5429 + ], + [ + 5141, + 11302 + ], + [ + 4071, + 4218 + ], + [ + 1431, + 6666 + ], + [ + 6472, + 8547 + ], + [ + 6902, + 8131 + ], + [ + 4823, + 8926 + ], + [ + 8491, + 11084 + ], + [ + 1643, + 8242 + ], + [ + 1362, + 1584 + ], + [ + 2408, + 9802 + ], + [ + 4779, + 6375 + ], + [ + 4844, + 6770 + ], + [ + 419, + 691 + ], + [ + 4493, + 5789 + ], + [ + 97, + 4612 + ], + [ + 2777, + 4192 + ], + [ + 6796, + 7331 + ], + [ + 910, + 3180 + ], + [ + 2348, + 5964 + ], + [ + 1658, + 7769 + ], + [ + 5711, + 9738 + ], + [ + 4267, + 6385 + ], + [ + 1368, + 8195 + ], + [ + 3116, + 5543 + ], + [ + 406, + 2334 + ], + [ + 4077, + 10425 + ], + [ + 5789, + 8116 + ], + [ + 5260, + 8526 + ], + [ + 10017, + 10648 + ], + [ + 5595, + 10502 + ], + [ + 4315, + 6806 + ], + [ + 3009, + 3387 + ], + [ + 7991, + 8825 + ], + [ + 3601, + 10846 + ], + [ + 3699, + 7971 + ], + [ + 5872, + 6057 + ], + [ + 1575, + 4859 + ], + [ + 2452, + 9296 + ], + [ + 3035, + 11374 + ], + [ + 58, + 11019 + ], + [ + 3790, + 10718 + ], + [ + 521, + 6579 + ], + [ + 6185, + 7685 + ], + [ + 2689, + 4321 + ], + [ + 8017, + 10396 + ], + [ + 10314, + 10992 + ], + [ + 890, + 1723 + ], + [ + 2156, + 11405 + ], + [ + 3498, + 10317 + ], + [ + 8540, + 9390 + ], + [ + 8698, + 9976 + ], + [ + 6272, + 7280 + ], + [ + 1695, + 10229 + ], + [ + 9838, + 11413 + ], + [ + 7534, + 9646 + ], + [ + 6128, + 6777 + ], + [ + 5570, + 8701 + ], + [ + 1392, + 8915 + ], + [ + 7899, + 11464 + ], + [ + 6202, + 8389 + ], + [ + 1894, + 10065 + ], + [ + 2386, + 9773 + ], + [ + 3351, + 6483 + ], + [ + 1124, + 7380 + ], + [ + 8328, + 10823 + ], + [ + 5563, + 7880 + ], + [ + 1478, + 10537 + ], + [ + 2450, + 7664 + ], + [ + 4121, + 5354 + ], + [ + 1416, + 3243 + ], + [ + 361, + 7771 + ], + [ + 1913, + 4049 + ], + [ + 6574, + 10627 + ], + [ + 6078, + 6259 + ], + [ + 6824, + 10021 + ], + [ + 6662, + 9693 + ], + [ + 4648, + 10883 + ], + [ + 8375, + 10238 + ], + [ + 1345, + 1498 + ], + [ + 73, + 8243 + ], + [ + 63, + 3391 + ], + [ + 1814, + 10836 + ], + [ + 1815, + 7274 + ], + [ + 817, + 8926 + ], + [ + 1128, + 6344 + ], + [ + 6032, + 6264 + ], + [ + 3831, + 5376 + ], + [ + 1281, + 7340 + ], + [ + 1050, + 10625 + ], + [ + 1894, + 9260 + ], + [ + 4196, + 10200 + ], + [ + 1398, + 11308 + ], + [ + 2740, + 3804 + ], + [ + 2661, + 10893 + ], + [ + 4789, + 10714 + ], + [ + 4784, + 10370 + ], + [ + 7552, + 9797 + ], + [ + 1518, + 3496 + ], + [ + 6089, + 9400 + ], + [ + 2173, + 4888 + ], + [ + 3883, + 8168 + ], + [ + 180, + 1293 + ], + [ + 137, + 4629 + ], + [ + 1909, + 2371 + ], + [ + 5711, + 6973 + ], + [ + 8911, + 9063 + ], + [ + 2727, + 5447 + ], + [ + 2567, + 8198 + ], + [ + 2947, + 7665 + ], + [ + 5857, + 6798 + ], + [ + 2438, + 5344 + ], + [ + 2247, + 2366 + ], + [ + 1660, + 2798 + ], + [ + 1482, + 10605 + ], + [ + 4395, + 7003 + ], + [ + 4, + 8422 + ], + [ + 3219, + 9292 + ], + [ + 8472, + 9366 + ], + [ + 7083, + 10608 + ], + [ + 8131, + 9073 + ], + [ + 3427, + 3579 + ], + [ + 3991, + 5607 + ], + [ + 7726, + 11239 + ], + [ + 319, + 4461 + ], + [ + 8749, + 11337 + ], + [ + 6261, + 11173 + ], + [ + 6440, + 9226 + ], + [ + 282, + 10995 + ], + [ + 2773, + 8424 + ], + [ + 2916, + 7978 + ], + [ + 785, + 8583 + ], + [ + 675, + 10697 + ], + [ + 1893, + 11263 + ], + [ + 9618, + 10968 + ], + [ + 6784, + 10167 + ], + [ + 1395, + 6822 + ], + [ + 5656, + 9494 + ], + [ + 3492, + 6983 + ], + [ + 4847, + 10264 + ], + [ + 8228, + 8982 + ], + [ + 3615, + 5104 + ], + [ + 6364, + 7487 + ], + [ + 7415, + 9633 + ], + [ + 1007, + 6309 + ], + [ + 5539, + 10787 + ], + [ + 9341, + 11225 + ], + [ + 8930, + 9439 + ], + [ + 3806, + 5803 + ], + [ + 284, + 3470 + ], + [ + 683, + 735 + ], + [ + 2708, + 3087 + ], + [ + 1499, + 10154 + ], + [ + 1148, + 2757 + ], + [ + 2278, + 7640 + ], + [ + 1177, + 7659 + ], + [ + 5189, + 9627 + ], + [ + 6906, + 7662 + ], + [ + 3081, + 5520 + ], + [ + 4812, + 7425 + ], + [ + 4409, + 5500 + ], + [ + 7342, + 10444 + ], + [ + 9665, + 10009 + ], + [ + 5317, + 5840 + ], + [ + 7428, + 9464 + ], + [ + 1607, + 9872 + ], + [ + 862, + 9718 + ], + [ + 10273, + 11555 + ], + [ + 7584, + 9977 + ], + [ + 4819, + 7815 + ], + [ + 1509, + 7085 + ], + [ + 9351, + 11539 + ], + [ + 5591, + 9792 + ], + [ + 150, + 10421 + ], + [ + 618, + 6325 + ], + [ + 802, + 8886 + ], + [ + 8577, + 11364 + ], + [ + 4747, + 8878 + ], + [ + 1786, + 2640 + ], + [ + 1168, + 3759 + ], + [ + 696, + 11119 + ], + [ + 913, + 2486 + ], + [ + 5680, + 6050 + ], + [ + 4173, + 9545 + ], + [ + 6141, + 11363 + ], + [ + 6136, + 11019 + ], + [ + 2474, + 9807 + ], + [ + 2555, + 5073 + ], + [ + 77, + 5597 + ], + [ + 1190, + 10873 + ], + [ + 1157, + 2065 + ], + [ + 417, + 2255 + ], + [ + 6315, + 9449 + ], + [ + 1459, + 6567 + ], + [ + 7401, + 7617 + ], + [ + 3118, + 3843 + ], + [ + 3677, + 5527 + ], + [ + 246, + 3312 + ], + [ + 6655, + 9490 + ], + [ + 4609, + 6261 + ], + [ + 5104, + 10404 + ], + [ + 2609, + 11321 + ], + [ + 4765, + 6774 + ], + [ + 1461, + 3580 + ], + [ + 7121, + 11360 + ], + [ + 294, + 2979 + ], + [ + 2191, + 6085 + ], + [ + 983, + 3955 + ], + [ + 7077, + 11061 + ], + [ + 8634, + 11093 + ], + [ + 3780, + 9038 + ], + [ + 4029, + 5578 + ], + [ + 2403, + 7661 + ], + [ + 409, + 458 + ], + [ + 4400, + 7965 + ], + [ + 5091, + 11266 + ], + [ + 229, + 5186 + ], + [ + 2429, + 5095 + ], + [ + 684, + 5766 + ], + [ + 1587, + 7260 + ], + [ + 2903, + 4951 + ], + [ + 5472, + 7201 + ], + [ + 4919, + 9469 + ], + [ + 7073, + 7505 + ], + [ + 1092, + 4248 + ], + [ + 5825, + 8228 + ], + [ + 2017, + 10227 + ], + [ + 4166, + 7919 + ], + [ + 365, + 3919 + ], + [ + 900, + 1045 + ], + [ + 5401, + 5456 + ], + [ + 125, + 4432 + ], + [ + 3628, + 10495 + ], + [ + 4071, + 8032 + ], + [ + 5812, + 10625 + ], + [ + 731, + 5181 + ], + [ + 2723, + 11557 + ], + [ + 1068, + 1568 + ], + [ + 2316, + 4228 + ], + [ + 3149, + 3448 + ], + [ + 1316, + 8436 + ], + [ + 6070, + 11041 + ], + [ + 5077, + 5867 + ], + [ + 1613, + 5424 + ], + [ + 4388, + 9028 + ], + [ + 7003, + 8213 + ], + [ + 336, + 1245 + ], + [ + 4919, + 8664 + ], + [ + 3292, + 10522 + ], + [ + 5317, + 6458 + ], + [ + 1898, + 5004 + ], + [ + 6404, + 10513 + ], + [ + 6099, + 9877 + ], + [ + 4346, + 5769 + ], + [ + 7716, + 10714 + ], + [ + 449, + 2061 + ], + [ + 8156, + 10232 + ], + [ + 3540, + 7591 + ], + [ + 9541, + 11500 + ], + [ + 4992, + 10081 + ], + [ + 2287, + 7970 + ], + [ + 3994, + 4563 + ], + [ + 2696, + 5923 + ], + [ + 1266, + 4912 + ], + [ + 2103, + 8792 + ], + [ + 1759, + 8982 + ], + [ + 1602, + 10496 + ], + [ + 5738, + 10810 + ], + [ + 4120, + 9748 + ], + [ + 6790, + 9394 + ], + [ + 262, + 5968 + ], + [ + 1569, + 11487 + ], + [ + 2583, + 4706 + ], + [ + 2526, + 3418 + ], + [ + 4613, + 7402 + ], + [ + 1029, + 1185 + ], + [ + 1529, + 8678 + ], + [ + 3246, + 10123 + ], + [ + 5235, + 6402 + ], + [ + 5240, + 6746 + ], + [ + 2334, + 6631 + ], + [ + 3110, + 6852 + ], + [ + 5823, + 6572 + ], + [ + 3427, + 5970 + ], + [ + 2541, + 7863 + ], + [ + 7193, + 10915 + ], + [ + 1923, + 2566 + ], + [ + 403, + 5045 + ], + [ + 1552, + 9978 + ], + [ + 5341, + 6047 + ], + [ + 898, + 5024 + ], + [ + 1428, + 1806 + ], + [ + 3293, + 6155 + ], + [ + 5032, + 7921 + ], + [ + 5433, + 9019 + ], + [ + 7761, + 8928 + ], + [ + 5128, + 8383 + ], + [ + 646, + 8186 + ], + [ + 2191, + 6703 + ], + [ + 5310, + 7865 + ], + [ + 582, + 4229 + ], + [ + 3324, + 11103 + ], + [ + 1257, + 9279 + ], + [ + 3246, + 8968 + ], + [ + 4808, + 10098 + ], + [ + 2475, + 3429 + ], + [ + 8946, + 10485 + ], + [ + 6368, + 10401 + ], + [ + 3625, + 11216 + ], + [ + 764, + 2930 + ], + [ + 227, + 2725 + ], + [ + 8688, + 8914 + ], + [ + 2812, + 9615 + ], + [ + 7101, + 10171 + ], + [ + 1929, + 4609 + ], + [ + 158, + 10475 + ], + [ + 4538, + 10395 + ], + [ + 7256, + 10459 + ], + [ + 2327, + 2403 + ], + [ + 1924, + 7648 + ], + [ + 3727, + 5457 + ], + [ + 4654, + 5093 + ], + [ + 9266, + 10998 + ], + [ + 465, + 11534 + ], + [ + 5883, + 9955 + ], + [ + 8894, + 9140 + ], + [ + 4226, + 5555 + ], + [ + 2116, + 11201 + ], + [ + 2161, + 3804 + ], + [ + 5901, + 9780 + ], + [ + 643, + 9362 + ], + [ + 8640, + 11475 + ], + [ + 3788, + 5329 + ], + [ + 2917, + 6756 + ], + [ + 4035, + 10124 + ], + [ + 9126, + 11368 + ], + [ + 5184, + 8641 + ], + [ + 7209, + 10993 + ], + [ + 9155, + 9854 + ], + [ + 8576, + 10901 + ], + [ + 2053, + 2931 + ], + [ + 4205, + 6556 + ], + [ + 1402, + 8074 + ], + [ + 4431, + 6310 + ], + [ + 1284, + 7264 + ], + [ + 5452, + 9745 + ], + [ + 2955, + 8337 + ], + [ + 3325, + 7116 + ], + [ + 8087, + 9582 + ], + [ + 2956, + 4775 + ], + [ + 6249, + 7056 + ], + [ + 5753, + 9858 + ], + [ + 1295, + 10055 + ], + [ + 5096, + 5387 + ], + [ + 8029, + 9577 + ], + [ + 1109, + 4415 + ], + [ + 7184, + 11471 + ], + [ + 9515, + 10897 + ], + [ + 4945, + 10853 + ], + [ + 3446, + 5541 + ], + [ + 9755, + 10357 + ], + [ + 1756, + 5165 + ], + [ + 39, + 714 + ], + [ + 1857, + 5971 + ], + [ + 4059, + 9713 + ], + [ + 4652, + 10227 + ], + [ + 225, + 9737 + ], + [ + 3993, + 9093 + ], + [ + 1315, + 11057 + ], + [ + 702, + 6104 + ], + [ + 1065, + 4466 + ], + [ + 127, + 10333 + ], + [ + 9622, + 10363 + ], + [ + 5233, + 6193 + ], + [ + 3648, + 8277 + ], + [ + 5004, + 11059 + ], + [ + 4665, + 7429 + ], + [ + 1862, + 8193 + ], + [ + 1800, + 7315 + ], + [ + 181, + 3399 + ], + [ + 6070, + 7821 + ], + [ + 4010, + 6414 + ], + [ + 10584, + 10939 + ], + [ + 3766, + 9437 + ], + [ + 8453, + 10820 + ], + [ + 5368, + 8488 + ], + [ + 3143, + 10212 + ], + [ + 9805, + 10420 + ], + [ + 1830, + 10540 + ], + [ + 1078, + 10713 + ], + [ + 3452, + 10967 + ], + [ + 9976, + 11241 + ], + [ + 1170, + 11433 + ], + [ + 979, + 7701 + ], + [ + 6469, + 7688 + ], + [ + 599, + 1818 + ], + [ + 3754, + 4889 + ], + [ + 724, + 766 + ], + [ + 2470, + 3703 + ], + [ + 3846, + 7861 + ], + [ + 3559, + 8585 + ], + [ + 3942, + 7569 + ], + [ + 3121, + 8359 + ], + [ + 5082, + 9006 + ], + [ + 4887, + 5532 + ], + [ + 10067, + 10955 + ], + [ + 217, + 8290 + ], + [ + 6949, + 6985 + ], + [ + 7835, + 10784 + ], + [ + 1035, + 4950 + ], + [ + 5906, + 8140 + ], + [ + 118, + 5278 + ], + [ + 2728, + 4119 + ], + [ + 8863, + 11226 + ], + [ + 4479, + 7400 + ], + [ + 5098, + 9135 + ], + [ + 337, + 9523 + ], + [ + 8654, + 11052 + ], + [ + 433, + 9985 + ], + [ + 1276, + 5012 + ], + [ + 3547, + 10803 + ], + [ + 2552, + 11218 + ], + [ + 5190, + 5691 + ], + [ + 2542, + 4114 + ], + [ + 7772, + 8900 + ], + [ + 3343, + 5331 + ], + [ + 2006, + 7517 + ], + [ + 2298, + 11301 + ], + [ + 6279, + 7540 + ], + [ + 7363, + 7914 + ], + [ + 4897, + 11481 + ], + [ + 2373, + 5998 + ], + [ + 4155, + 10844 + ], + [ + 1349, + 2265 + ], + [ + 6364, + 9341 + ], + [ + 3806, + 4274 + ], + [ + 165, + 4693 + ], + [ + 483, + 3282 + ], + [ + 2716, + 6337 + ], + [ + 1778, + 8040 + ], + [ + 157, + 3297 + ], + [ + 5650, + 6965 + ], + [ + 4580, + 7051 + ], + [ + 6445, + 11400 + ], + [ + 535, + 2691 + ], + [ + 2838, + 10649 + ], + [ + 4185, + 9905 + ], + [ + 3024, + 3457 + ], + [ + 3870, + 8581 + ], + [ + 5417, + 7925 + ], + [ + 4111, + 5260 + ], + [ + 8658, + 10016 + ], + [ + 1675, + 6757 + ], + [ + 8213, + 9373 + ], + [ + 2387, + 3021 + ], + [ + 2731, + 2831 + ], + [ + 6996, + 9409 + ], + [ + 2734, + 6512 + ], + [ + 9678, + 9816 + ], + [ + 957, + 8426 + ], + [ + 5595, + 9136 + ], + [ + 1139, + 3744 + ], + [ + 3324, + 3345 + ], + [ + 4034, + 5198 + ], + [ + 7626, + 9024 + ], + [ + 3632, + 11045 + ], + [ + 3317, + 9721 + ], + [ + 6094, + 7736 + ], + [ + 927, + 2518 + ], + [ + 1828, + 8103 + ], + [ + 3913, + 10506 + ], + [ + 1298, + 4905 + ], + [ + 577, + 9309 + ], + [ + 5341, + 8438 + ], + [ + 2655, + 10541 + ], + [ + 3153, + 7785 + ], + [ + 8285, + 9784 + ], + [ + 1232, + 9920 + ], + [ + 1411, + 5721 + ], + [ + 75, + 10761 + ], + [ + 2522, + 7918 + ], + [ + 8411, + 11586 + ], + [ + 4387, + 5851 + ], + [ + 560, + 2882 + ], + [ + 6907, + 8182 + ], + [ + 288, + 5392 + ], + [ + 7557, + 9984 + ], + [ + 8620, + 8727 + ], + [ + 7876, + 11427 + ], + [ + 2109, + 2272 + ], + [ + 1023, + 8241 + ], + [ + 4046, + 8941 + ], + [ + 9894, + 10356 + ], + [ + 9405, + 10165 + ], + [ + 1561, + 9048 + ], + [ + 85, + 1276 + ], + [ + 5778, + 7284 + ], + [ + 433, + 8375 + ], + [ + 6842, + 8137 + ], + [ + 211, + 3078 + ], + [ + 7862, + 10216 + ], + [ + 88, + 10592 + ], + [ + 300, + 2369 + ], + [ + 9109, + 10022 + ], + [ + 3226, + 9552 + ], + [ + 1132, + 5151 + ], + [ + 1419, + 8591 + ], + [ + 7458, + 9574 + ], + [ + 4929, + 9409 + ], + [ + 6372, + 8373 + ], + [ + 701, + 6096 + ], + [ + 2559, + 2858 + ], + [ + 1696, + 10562 + ], + [ + 4218, + 7304 + ], + [ + 9311, + 9375 + ], + [ + 3099, + 10127 + ], + [ + 2399, + 8992 + ], + [ + 4363, + 6904 + ], + [ + 7289, + 7671 + ], + [ + 3827, + 10307 + ], + [ + 7634, + 11089 + ], + [ + 5542, + 7515 + ], + [ + 1053, + 6147 + ], + [ + 9616, + 10361 + ], + [ + 2147, + 4203 + ], + [ + 1248, + 9998 + ], + [ + 4567, + 7084 + ], + [ + 2175, + 9634 + ], + [ + 5059, + 7546 + ], + [ + 8553, + 10083 + ], + [ + 10253, + 10423 + ], + [ + 3795, + 7736 + ], + [ + 274, + 6759 + ], + [ + 3908, + 5169 + ], + [ + 3280, + 5600 + ], + [ + 2812, + 9696 + ], + [ + 757, + 9387 + ], + [ + 5154, + 11166 + ], + [ + 1257, + 3294 + ], + [ + 4829, + 4990 + ], + [ + 5515, + 7947 + ], + [ + 3552, + 7227 + ], + [ + 881, + 10362 + ], + [ + 4119, + 6520 + ], + [ + 5736, + 7357 + ], + [ + 2126, + 2925 + ], + [ + 5584, + 9969 + ], + [ + 2401, + 11266 + ], + [ + 787, + 7694 + ], + [ + 2217, + 8705 + ], + [ + 6330, + 11479 + ], + [ + 2271, + 8941 + ], + [ + 963, + 9613 + ], + [ + 5820, + 8933 + ], + [ + 526, + 2442 + ], + [ + 1866, + 11107 + ], + [ + 1783, + 9352 + ], + [ + 5174, + 8004 + ], + [ + 3667, + 7335 + ], + [ + 587, + 3849 + ], + [ + 5473, + 8825 + ], + [ + 839, + 10486 + ], + [ + 2546, + 7833 + ], + [ + 8714, + 10916 + ], + [ + 985, + 10311 + ], + [ + 3602, + 10323 + ], + [ + 583, + 9742 + ], + [ + 10471, + 11009 + ], + [ + 8795, + 8811 + ], + [ + 1534, + 1858 + ], + [ + 3743, + 6017 + ], + [ + 2660, + 11503 + ], + [ + 4989, + 7850 + ], + [ + 1596, + 6119 + ], + [ + 4519, + 5457 + ], + [ + 3285, + 8522 + ], + [ + 7423, + 8909 + ], + [ + 5794, + 6557 + ], + [ + 6920, + 10540 + ], + [ + 36, + 11451 + ], + [ + 7228, + 8441 + ], + [ + 719, + 9229 + ], + [ + 5581, + 8893 + ], + [ + 6720, + 6722 + ], + [ + 1661, + 3481 + ], + [ + 1088, + 10035 + ], + [ + 5329, + 7891 + ], + [ + 4200, + 10026 + ], + [ + 8150, + 11116 + ], + [ + 8626, + 11045 + ], + [ + 7320, + 7626 + ], + [ + 4163, + 10898 + ], + [ + 806, + 3906 + ], + [ + 5441, + 11515 + ], + [ + 8928, + 10629 + ], + [ + 7842, + 10182 + ], + [ + 1335, + 7633 + ], + [ + 6651, + 11439 + ], + [ + 887, + 5965 + ], + [ + 4978, + 7260 + ], + [ + 5004, + 6229 + ], + [ + 704, + 7012 + ], + [ + 20, + 9763 + ], + [ + 3900, + 5950 + ], + [ + 290, + 11344 + ], + [ + 5498, + 5983 + ], + [ + 9999, + 11148 + ], + [ + 1504, + 4594 + ], + [ + 4298, + 10160 + ], + [ + 6858, + 8884 + ], + [ + 1753, + 5298 + ], + [ + 1603, + 8737 + ], + [ + 2659, + 11227 + ], + [ + 1250, + 11093 + ], + [ + 2960, + 7957 + ], + [ + 1969, + 3610 + ], + [ + 2841, + 3539 + ], + [ + 848, + 6360 + ], + [ + 5860, + 7503 + ], + [ + 6661, + 10972 + ], + [ + 587, + 5272 + ], + [ + 9270, + 10342 + ], + [ + 7131, + 11086 + ], + [ + 10082, + 10220 + ], + [ + 1985, + 4493 + ], + [ + 5653, + 8903 + ], + [ + 4562, + 7358 + ], + [ + 2850, + 3251 + ], + [ + 8147, + 10013 + ], + [ + 743, + 9168 + ], + [ + 2362, + 10078 + ], + [ + 798, + 2459 + ], + [ + 2661, + 10145 + ], + [ + 4877, + 5649 + ], + [ + 1301, + 10627 + ], + [ + 2514, + 6685 + ], + [ + 1050, + 6844 + ], + [ + 1552, + 7994 + ], + [ + 2414, + 3071 + ], + [ + 5471, + 9771 + ], + [ + 5810, + 6985 + ], + [ + 3877, + 7605 + ], + [ + 1630, + 6372 + ], + [ + 7488, + 10727 + ], + [ + 1007, + 2983 + ], + [ + 146, + 11514 + ], + [ + 43, + 1213 + ], + [ + 3618, + 8842 + ], + [ + 605, + 8830 + ], + [ + 903, + 6043 + ], + [ + 220, + 2603 + ], + [ + 2623, + 3595 + ], + [ + 5104, + 10916 + ], + [ + 3025, + 5295 + ], + [ + 876, + 1187 + ], + [ + 3928, + 6789 + ], + [ + 587, + 1084 + ], + [ + 159, + 7962 + ], + [ + 2949, + 9622 + ], + [ + 2274, + 10207 + ], + [ + 3576, + 9720 + ], + [ + 771, + 9657 + ], + [ + 9706, + 10067 + ], + [ + 2488, + 7692 + ], + [ + 155, + 1023 + ], + [ + 5626, + 6652 + ], + [ + 4411, + 9767 + ], + [ + 2169, + 9632 + ], + [ + 1722, + 1773 + ], + [ + 3275, + 5069 + ], + [ + 704, + 8785 + ], + [ + 596, + 1146 + ], + [ + 2376, + 9329 + ], + [ + 2371, + 8985 + ], + [ + 631, + 9246 + ], + [ + 8157, + 9522 + ], + [ + 9774, + 10359 + ], + [ + 1253, + 9000 + ], + [ + 2689, + 10957 + ], + [ + 5848, + 10794 + ], + [ + 8960, + 10785 + ], + [ + 5155, + 9295 + ], + [ + 2046, + 3159 + ], + [ + 4311, + 8381 + ], + [ + 8649, + 9553 + ], + [ + 5999, + 11313 + ], + [ + 2818, + 2857 + ], + [ + 3573, + 7863 + ], + [ + 10228, + 11064 + ], + [ + 9786, + 10719 + ], + [ + 2879, + 9926 + ], + [ + 1103, + 11284 + ], + [ + 1791, + 8652 + ], + [ + 1964, + 10300 + ], + [ + 2404, + 10572 + ], + [ + 420, + 8221 + ], + [ + 1567, + 10829 + ], + [ + 1999, + 6322 + ], + [ + 9555, + 10190 + ], + [ + 7416, + 10934 + ], + [ + 2999, + 11132 + ], + [ + 525, + 5012 + ], + [ + 2269, + 4870 + ], + [ + 2981, + 3386 + ], + [ + 162, + 10033 + ], + [ + 7686, + 9482 + ], + [ + 4040, + 9557 + ], + [ + 4948, + 11395 + ], + [ + 2424, + 5158 + ], + [ + 7548, + 9548 + ], + [ + 3482, + 4311 + ], + [ + 10240, + 10643 + ], + [ + 2174, + 11399 + ], + [ + 3227, + 9454 + ], + [ + 25, + 7291 + ], + [ + 3664, + 10209 + ], + [ + 3129, + 6667 + ], + [ + 706, + 9904 + ], + [ + 990, + 3247 + ], + [ + 3188, + 3864 + ], + [ + 352, + 2990 + ], + [ + 8620, + 9508 + ], + [ + 1041, + 9628 + ], + [ + 84, + 701 + ], + [ + 8666, + 9883 + ], + [ + 54, + 9160 + ], + [ + 8533, + 10293 + ], + [ + 2848, + 3392 + ], + [ + 4436, + 9907 + ], + [ + 1881, + 4357 + ], + [ + 4682, + 6930 + ], + [ + 5583, + 7597 + ], + [ + 2539, + 6020 + ], + [ + 15, + 6199 + ], + [ + 7289, + 11135 + ], + [ + 997, + 6296 + ], + [ + 4362, + 10897 + ], + [ + 871, + 7877 + ], + [ + 6509, + 7762 + ], + [ + 8317, + 11577 + ], + [ + 2211, + 2956 + ], + [ + 282, + 7482 + ], + [ + 1500, + 8048 + ], + [ + 4082, + 11257 + ], + [ + 7592, + 7911 + ], + [ + 2327, + 4070 + ], + [ + 2275, + 3880 + ], + [ + 1021, + 1405 + ], + [ + 3825, + 9911 + ], + [ + 7534, + 7906 + ], + [ + 7465, + 10021 + ], + [ + 3798, + 8465 + ], + [ + 1200, + 7005 + ], + [ + 3388, + 3871 + ], + [ + 3727, + 4091 + ], + [ + 3917, + 9850 + ], + [ + 1675, + 8961 + ], + [ + 4039, + 8527 + ], + [ + 525, + 10973 + ], + [ + 6053, + 6556 + ], + [ + 4072, + 10138 + ], + [ + 3594, + 7130 + ], + [ + 4432, + 8229 + ], + [ + 1357, + 7339 + ], + [ + 3754, + 5133 + ], + [ + 2260, + 6581 + ], + [ + 111, + 2473 + ], + [ + 329, + 10280 + ], + [ + 1193, + 6184 + ], + [ + 8512, + 8611 + ], + [ + 4840, + 8963 + ], + [ + 3555, + 11339 + ], + [ + 255, + 7887 + ], + [ + 1375, + 4912 + ], + [ + 1849, + 4768 + ], + [ + 9464, + 9997 + ], + [ + 6317, + 6787 + ], + [ + 1867, + 4593 + ], + [ + 716, + 2997 + ], + [ + 4205, + 5190 + ], + [ + 2921, + 10420 + ], + [ + 6376, + 7367 + ], + [ + 1219, + 7755 + ], + [ + 9832, + 11332 + ], + [ + 2834, + 4759 + ], + [ + 3849, + 7248 + ], + [ + 4480, + 10498 + ], + [ + 1681, + 3090 + ], + [ + 8998, + 11106 + ], + [ + 5937, + 7670 + ], + [ + 4347, + 4492 + ], + [ + 23, + 5635 + ], + [ + 5072, + 11541 + ], + [ + 5000, + 9975 + ], + [ + 8269, + 9950 + ], + [ + 2018, + 9276 + ], + [ + 1861, + 11544 + ], + [ + 6453, + 8903 + ], + [ + 7106, + 10222 + ], + [ + 1381, + 11092 + ], + [ + 442, + 3525 + ], + [ + 6398, + 8415 + ], + [ + 10035, + 11260 + ], + [ + 3432, + 5216 + ], + [ + 1011, + 2864 + ], + [ + 8352, + 9022 + ], + [ + 5632, + 5879 + ], + [ + 2357, + 7587 + ], + [ + 1484, + 8187 + ], + [ + 2980, + 10195 + ], + [ + 6619, + 9703 + ], + [ + 549, + 739 + ], + [ + 2830, + 7218 + ], + [ + 2272, + 8388 + ], + [ + 5405, + 7004 + ], + [ + 5690, + 9617 + ], + [ + 3314, + 6284 + ], + [ + 1294, + 4276 + ], + [ + 8138, + 10382 + ], + [ + 46, + 11415 + ], + [ + 166, + 10019 + ], + [ + 6494, + 11105 + ], + [ + 4781, + 7527 + ], + [ + 5237, + 7578 + ], + [ + 36, + 1278 + ], + [ + 2097, + 5539 + ], + [ + 2501, + 3902 + ], + [ + 479, + 5231 + ], + [ + 4612, + 5274 + ], + [ + 3560, + 10073 + ], + [ + 2841, + 3970 + ], + [ + 845, + 7274 + ], + [ + 2154, + 3040 + ], + [ + 1412, + 8819 + ], + [ + 4247, + 10222 + ], + [ + 3896, + 9241 + ], + [ + 250, + 2900 + ], + [ + 6046, + 10541 + ], + [ + 7885, + 9505 + ], + [ + 7880, + 9161 + ], + [ + 4950, + 8652 + ], + [ + 621, + 10949 + ], + [ + 6624, + 10023 + ], + [ + 6875, + 7390 + ], + [ + 5412, + 6239 + ], + [ + 5134, + 8180 + ], + [ + 2145, + 6310 + ], + [ + 923, + 1838 + ], + [ + 2442, + 5550 + ], + [ + 1987, + 8353 + ], + [ + 8482, + 9387 + ], + [ + 7448, + 9130 + ], + [ + 6778, + 10059 + ], + [ + 3154, + 5197 + ], + [ + 6142, + 9094 + ], + [ + 8485, + 10035 + ], + [ + 2623, + 10442 + ], + [ + 7363, + 9931 + ], + [ + 10747, + 11576 + ], + [ + 2394, + 8892 + ], + [ + 4836, + 9812 + ], + [ + 2744, + 5484 + ], + [ + 2095, + 5038 + ], + [ + 1560, + 8666 + ], + [ + 4147, + 5803 + ], + [ + 4398, + 9586 + ], + [ + 8247, + 9870 + ], + [ + 5919, + 7709 + ], + [ + 1220, + 4811 + ], + [ + 2433, + 5033 + ], + [ + 4100, + 5233 + ], + [ + 1958, + 5679 + ], + [ + 4284, + 4761 + ], + [ + 6214, + 10259 + ], + [ + 6152, + 6375 + ], + [ + 1205, + 4129 + ], + [ + 4131, + 11312 + ], + [ + 1423, + 5520 + ], + [ + 7367, + 8895 + ], + [ + 3098, + 9745 + ], + [ + 2945, + 6497 + ], + [ + 7389, + 11128 + ], + [ + 3101, + 7010 + ], + [ + 1687, + 2368 + ], + [ + 9785, + 10949 + ], + [ + 3653, + 7523 + ], + [ + 4280, + 7621 + ], + [ + 6138, + 10799 + ], + [ + 8349, + 10123 + ], + [ + 1320, + 10653 + ], + [ + 847, + 2327 + ], + [ + 2741, + 11578 + ], + [ + 6566, + 7304 + ], + [ + 664, + 2620 + ], + [ + 4241, + 5414 + ], + [ + 9122, + 9292 + ], + [ + 7498, + 8038 + ], + [ + 5579, + 6082 + ], + [ + 2270, + 2544 + ], + [ + 6466, + 7073 + ], + [ + 213, + 1408 + ], + [ + 992, + 5310 + ], + [ + 1306, + 6409 + ], + [ + 3417, + 8535 + ], + [ + 2316, + 8554 + ], + [ + 1447, + 5890 + ], + [ + 798, + 7696 + ], + [ + 1670, + 7625 + ], + [ + 1171, + 3740 + ], + [ + 3156, + 8945 + ], + [ + 4164, + 8735 + ], + [ + 300, + 1003 + ], + [ + 6354, + 8710 + ], + [ + 8260, + 8896 + ], + [ + 5705, + 10516 + ], + [ + 1037, + 4679 + ], + [ + 2279, + 5639 + ], + [ + 6606, + 8931 + ], + [ + 562, + 10987 + ], + [ + 1840, + 5942 + ], + [ + 5169, + 10132 + ], + [ + 7479, + 9435 + ], + [ + 5222, + 7514 + ], + [ + 5299, + 9424 + ], + [ + 3520, + 4095 + ], + [ + 1770, + 10084 + ], + [ + 4237, + 7119 + ], + [ + 1186, + 10787 + ], + [ + 10272, + 10612 + ], + [ + 2108, + 10079 + ], + [ + 1490, + 11198 + ], + [ + 4907, + 5409 + ], + [ + 149, + 9478 + ], + [ + 92, + 8944 + ], + [ + 2609, + 11004 + ], + [ + 5628, + 8552 + ], + [ + 1287, + 7082 + ], + [ + 2751, + 6923 + ], + [ + 2417, + 7801 + ], + [ + 6175, + 8721 + ], + [ + 2915, + 5799 + ], + [ + 377, + 7800 + ], + [ + 2374, + 8104 + ], + [ + 822, + 2000 + ], + [ + 1966, + 6589 + ], + [ + 185, + 4597 + ], + [ + 7748, + 9636 + ], + [ + 7316, + 9979 + ], + [ + 4181, + 6032 + ], + [ + 5332, + 7628 + ], + [ + 7792, + 9908 + ], + [ + 6885, + 10924 + ], + [ + 1773, + 3915 + ], + [ + 5544, + 9204 + ], + [ + 9064, + 10710 + ], + [ + 5203, + 8911 + ], + [ + 3978, + 10584 + ], + [ + 1337, + 3762 + ], + [ + 8661, + 9539 + ], + [ + 3957, + 10461 + ], + [ + 380, + 1251 + ], + [ + 2558, + 11015 + ], + [ + 3828, + 7607 + ], + [ + 8408, + 9093 + ], + [ + 2026, + 6990 + ], + [ + 364, + 7164 + ], + [ + 6530, + 9420 + ], + [ + 3911, + 6329 + ], + [ + 9024, + 10530 + ], + [ + 120, + 3771 + ], + [ + 5218, + 6186 + ], + [ + 1073, + 4628 + ], + [ + 8170, + 8174 + ], + [ + 4032, + 7787 + ], + [ + 3440, + 3711 + ], + [ + 4563, + 7423 + ], + [ + 2636, + 6360 + ], + [ + 1227, + 2062 + ], + [ + 9112, + 9596 + ], + [ + 4315, + 8075 + ], + [ + 6932, + 10339 + ], + [ + 4086, + 8023 + ], + [ + 1849, + 8232 + ], + [ + 6556, + 10991 + ], + [ + 9562, + 9832 + ], + [ + 1850, + 4670 + ], + [ + 733, + 8320 + ], + [ + 7827, + 8939 + ], + [ + 4300, + 5508 + ], + [ + 1073, + 4978 + ], + [ + 1945, + 11323 + ], + [ + 5543, + 7824 + ], + [ + 3583, + 6621 + ], + [ + 7328, + 10689 + ], + [ + 5050, + 7891 + ], + [ + 36, + 10085 + ], + [ + 1156, + 10116 + ], + [ + 1751, + 11457 + ], + [ + 10455, + 10988 + ], + [ + 6847, + 7383 + ], + [ + 3943, + 8095 + ], + [ + 6716, + 7866 + ], + [ + 4971, + 8537 + ], + [ + 3727, + 6750 + ], + [ + 6916, + 8651 + ], + [ + 5846, + 7983 + ], + [ + 705, + 8904 + ], + [ + 5285, + 9636 + ], + [ + 1018, + 7149 + ], + [ + 2647, + 9501 + ], + [ + 892, + 8730 + ], + [ + 892, + 2314 + ], + [ + 396, + 4362 + ], + [ + 2364, + 6180 + ], + [ + 1419, + 4460 + ], + [ + 6310, + 9780 + ], + [ + 4309, + 5570 + ], + [ + 4216, + 9543 + ], + [ + 329, + 6523 + ], + [ + 10509, + 11574 + ], + [ + 2035, + 3645 + ], + [ + 1343, + 2371 + ], + [ + 1282, + 4347 + ], + [ + 793, + 1904 + ], + [ + 3089, + 8691 + ], + [ + 11203, + 11389 + ], + [ + 2276, + 2926 + ], + [ + 2052, + 7382 + ], + [ + 4507, + 9318 + ], + [ + 5037, + 6100 + ], + [ + 1960, + 7793 + ], + [ + 5609, + 7989 + ], + [ + 6461, + 6542 + ], + [ + 4470, + 9436 + ], + [ + 1827, + 8203 + ], + [ + 2212, + 8768 + ], + [ + 7308, + 10356 + ], + [ + 3352, + 9451 + ], + [ + 1695, + 5805 + ], + [ + 1041, + 4261 + ], + [ + 798, + 1093 + ], + [ + 9005, + 10398 + ], + [ + 9981, + 10650 + ], + [ + 2686, + 10529 + ], + [ + 3214, + 6484 + ], + [ + 4313, + 5638 + ], + [ + 5, + 6560 + ], + [ + 5837, + 9694 + ], + [ + 161, + 7073 + ], + [ + 8282, + 10942 + ], + [ + 8843, + 9289 + ], + [ + 2921, + 5858 + ], + [ + 61, + 6842 + ], + [ + 2671, + 5683 + ], + [ + 3639, + 5320 + ], + [ + 5569, + 10818 + ], + [ + 1801, + 9210 + ], + [ + 8594, + 11564 + ], + [ + 280, + 8054 + ], + [ + 8373, + 9875 + ], + [ + 1298, + 7808 + ], + [ + 1704, + 2080 + ], + [ + 7607, + 10372 + ], + [ + 213, + 10215 + ], + [ + 9705, + 10728 + ], + [ + 6775, + 10219 + ], + [ + 2848, + 10052 + ], + [ + 21, + 596 + ], + [ + 1726, + 7696 + ], + [ + 2694, + 9585 + ], + [ + 808, + 3635 + ], + [ + 5391, + 11054 + ], + [ + 7034, + 10860 + ], + [ + 3716, + 10212 + ], + [ + 944, + 6879 + ], + [ + 839, + 8583 + ], + [ + 2833, + 9370 + ], + [ + 1816, + 6808 + ], + [ + 10054, + 11262 + ], + [ + 379, + 11042 + ], + [ + 1036, + 9097 + ], + [ + 1731, + 3502 + ], + [ + 6562, + 8017 + ], + [ + 1272, + 8815 + ], + [ + 5343, + 7980 + ], + [ + 2049, + 5474 + ], + [ + 4664, + 11075 + ], + [ + 3850, + 8118 + ], + [ + 242, + 4513 + ], + [ + 5063, + 9094 + ], + [ + 6066, + 7786 + ], + [ + 5725, + 7493 + ], + [ + 3531, + 3642 + ], + [ + 1695, + 4195 + ], + [ + 3284, + 6394 + ], + [ + 4311, + 10398 + ], + [ + 4127, + 7837 + ], + [ + 4058, + 5788 + ], + [ + 252, + 1444 + ], + [ + 102, + 4883 + ], + [ + 8293, + 9491 + ], + [ + 5645, + 7914 + ], + [ + 1163, + 7717 + ], + [ + 8847, + 10831 + ], + [ + 9566, + 10518 + ], + [ + 2190, + 5305 + ], + [ + 6574, + 9131 + ], + [ + 41, + 443 + ], + [ + 2907, + 3411 + ], + [ + 3065, + 11167 + ], + [ + 5453, + 11127 + ], + [ + 3932, + 4336 + ], + [ + 3427, + 9304 + ], + [ + 6171, + 10589 + ], + [ + 2458, + 9442 + ], + [ + 4103, + 5157 + ], + [ + 2676, + 10833 + ], + [ + 1114, + 3287 + ], + [ + 2309, + 9319 + ], + [ + 4697, + 9279 + ], + [ + 1304, + 7548 + ], + [ + 4669, + 7231 + ], + [ + 7866, + 9804 + ], + [ + 3795, + 4223 + ], + [ + 3255, + 6753 + ], + [ + 3105, + 3776 + ], + [ + 5319, + 9033 + ], + [ + 1556, + 7769 + ], + [ + 3006, + 3016 + ], + [ + 7467, + 9506 + ], + [ + 1196, + 2538 + ], + [ + 3226, + 5234 + ], + [ + 3141, + 9068 + ], + [ + 1861, + 5372 + ], + [ + 3033, + 5593 + ], + [ + 7544, + 10692 + ], + [ + 1854, + 4201 + ], + [ + 5434, + 9922 + ], + [ + 291, + 10016 + ], + [ + 6361, + 10312 + ], + [ + 4535, + 11553 + ], + [ + 1973, + 8996 + ], + [ + 1063, + 6331 + ], + [ + 610, + 5797 + ], + [ + 7549, + 8003 + ], + [ + 5682, + 6991 + ], + [ + 1066, + 3596 + ], + [ + 1651, + 6501 + ], + [ + 7165, + 11046 + ], + [ + 50, + 10304 + ], + [ + 446, + 3888 + ], + [ + 7636, + 10631 + ], + [ + 3909, + 4860 + ], + [ + 5664, + 11323 + ], + [ + 8348, + 9147 + ], + [ + 4024, + 9536 + ], + [ + 7883, + 10508 + ], + [ + 4922, + 10686 + ], + [ + 2289, + 10141 + ], + [ + 6827, + 11401 + ], + [ + 590, + 4017 + ], + [ + 5328, + 8341 + ], + [ + 6283, + 10779 + ], + [ + 5075, + 8649 + ], + [ + 6076, + 6514 + ], + [ + 1866, + 4561 + ], + [ + 2335, + 9735 + ], + [ + 1616, + 3632 + ], + [ + 5282, + 11379 + ], + [ + 5497, + 6837 + ], + [ + 2011, + 4161 + ], + [ + 5402, + 9983 + ], + [ + 3294, + 5876 + ], + [ + 4479, + 10466 + ], + [ + 823, + 1902 + ], + [ + 5952, + 10800 + ], + [ + 7077, + 11175 + ], + [ + 7731, + 9713 + ], + [ + 3283, + 4182 + ], + [ + 3723, + 8618 + ], + [ + 3475, + 4352 + ], + [ + 3550, + 5465 + ], + [ + 2810, + 4901 + ], + [ + 6829, + 8040 + ], + [ + 5760, + 10980 + ], + [ + 70, + 4489 + ], + [ + 8041, + 11043 + ], + [ + 1835, + 5224 + ], + [ + 8679, + 10576 + ], + [ + 1365, + 2077 + ], + [ + 1223, + 9541 + ], + [ + 7992, + 9646 + ], + [ + 1464, + 6220 + ], + [ + 3580, + 7936 + ], + [ + 431, + 8817 + ], + [ + 486, + 8524 + ], + [ + 861, + 1231 + ], + [ + 6215, + 8527 + ], + [ + 5344, + 11452 + ], + [ + 1149, + 10531 + ], + [ + 8952, + 9395 + ], + [ + 115, + 10274 + ], + [ + 3000, + 11040 + ], + [ + 9357, + 10612 + ], + [ + 1198, + 4007 + ], + [ + 138, + 4027 + ], + [ + 2223, + 11348 + ], + [ + 12, + 5608 + ], + [ + 3224, + 9213 + ], + [ + 2653, + 3762 + ], + [ + 7458, + 10062 + ], + [ + 9944, + 10557 + ], + [ + 5018, + 9188 + ], + [ + 1886, + 11174 + ], + [ + 4933, + 10770 + ], + [ + 5014, + 5282 + ], + [ + 4186, + 9035 + ], + [ + 3615, + 5836 + ], + [ + 4174, + 7520 + ], + [ + 4583, + 6227 + ], + [ + 1381, + 3310 + ], + [ + 1969, + 3480 + ], + [ + 3576, + 3629 + ], + [ + 900, + 6420 + ], + [ + 6413, + 11494 + ], + [ + 3608, + 11431 + ], + [ + 2228, + 4121 + ], + [ + 9915, + 10916 + ], + [ + 1417, + 4845 + ], + [ + 1384, + 2453 + ], + [ + 6782, + 9267 + ], + [ + 459, + 2863 + ], + [ + 1362, + 4357 + ], + [ + 668, + 6420 + ], + [ + 3262, + 11144 + ], + [ + 5241, + 6735 + ], + [ + 2074, + 10420 + ], + [ + 2938, + 5570 + ], + [ + 701, + 5779 + ], + [ + 3860, + 5616 + ], + [ + 7010, + 8343 + ], + [ + 793, + 8751 + ], + [ + 1725, + 2315 + ], + [ + 1037, + 2695 + ], + [ + 4768, + 10837 + ], + [ + 11528, + 11580 + ], + [ + 1843, + 4256 + ], + [ + 4458, + 9857 + ], + [ + 8878, + 9176 + ], + [ + 3731, + 9528 + ], + [ + 586, + 729 + ], + [ + 3848, + 4451 + ], + [ + 3136, + 11570 + ], + [ + 9889, + 11142 + ], + [ + 3354, + 6545 + ], + [ + 8758, + 10952 + ], + [ + 1444, + 2453 + ], + [ + 2820, + 4359 + ], + [ + 3439, + 6094 + ], + [ + 9008, + 10346 + ], + [ + 5432, + 8908 + ], + [ + 7476, + 9058 + ], + [ + 6144, + 11588 + ], + [ + 578, + 6853 + ], + [ + 1259, + 10220 + ], + [ + 8442, + 8622 + ], + [ + 7793, + 10428 + ], + [ + 3958, + 7598 + ], + [ + 2037, + 9733 + ], + [ + 282, + 8962 + ], + [ + 4361, + 5736 + ], + [ + 5510, + 10669 + ], + [ + 2309, + 4944 + ], + [ + 2770, + 9503 + ], + [ + 8341, + 8920 + ], + [ + 3802, + 7435 + ], + [ + 2088, + 3255 + ], + [ + 3100, + 5473 + ], + [ + 8213, + 9674 + ], + [ + 4295, + 10751 + ], + [ + 584, + 6267 + ], + [ + 1145, + 1608 + ], + [ + 642, + 9655 + ], + [ + 6025, + 9021 + ], + [ + 5746, + 9606 + ], + [ + 6317, + 6389 + ], + [ + 3572, + 4879 + ], + [ + 1726, + 4744 + ], + [ + 203, + 9958 + ], + [ + 2195, + 9918 + ], + [ + 5555, + 7005 + ], + [ + 3344, + 8435 + ], + [ + 8882, + 11122 + ], + [ + 694, + 10195 + ], + [ + 9560, + 11185 + ], + [ + 723, + 7900 + ], + [ + 1561, + 8999 + ], + [ + 5697, + 6307 + ], + [ + 7789, + 10635 + ], + [ + 8465, + 8740 + ], + [ + 934, + 5868 + ], + [ + 9466, + 11523 + ], + [ + 9648, + 10251 + ], + [ + 126, + 11027 + ], + [ + 8276, + 9218 + ], + [ + 7068, + 7088 + ], + [ + 7906, + 8187 + ], + [ + 3019, + 5992 + ], + [ + 987, + 6633 + ], + [ + 2420, + 11325 + ], + [ + 2769, + 5063 + ], + [ + 7939, + 9798 + ], + [ + 1606, + 1952 + ], + [ + 465, + 1044 + ], + [ + 6999, + 8422 + ], + [ + 8561, + 8798 + ], + [ + 3539, + 4715 + ], + [ + 2021, + 3857 + ], + [ + 1727, + 3410 + ], + [ + 2270, + 10977 + ], + [ + 4975, + 6672 + ], + [ + 4557, + 10885 + ], + [ + 484, + 10893 + ], + [ + 86, + 7814 + ], + [ + 2324, + 11213 + ], + [ + 760, + 10010 + ], + [ + 1670, + 6259 + ], + [ + 2513, + 7702 + ], + [ + 8884, + 11144 + ], + [ + 9312, + 9901 + ], + [ + 9408, + 9609 + ], + [ + 819, + 4174 + ], + [ + 3430, + 10033 + ], + [ + 5699, + 8581 + ], + [ + 7003, + 11173 + ], + [ + 382, + 4550 + ], + [ + 8687, + 10980 + ], + [ + 2021, + 9118 + ], + [ + 252, + 8641 + ], + [ + 663, + 10427 + ], + [ + 2898, + 3729 + ], + [ + 4665, + 7543 + ], + [ + 2733, + 5382 + ], + [ + 1981, + 3303 + ], + [ + 7369, + 9429 + ], + [ + 6130, + 7986 + ], + [ + 1486, + 8959 + ], + [ + 9772, + 11175 + ], + [ + 4944, + 9587 + ], + [ + 6506, + 10717 + ], + [ + 899, + 3729 + ], + [ + 1764, + 8903 + ], + [ + 5724, + 10681 + ], + [ + 2973, + 7471 + ], + [ + 1734, + 3776 + ], + [ + 1722, + 2261 + ], + [ + 2415, + 7143 + ], + [ + 4244, + 5419 + ], + [ + 54, + 4842 + ], + [ + 3942, + 10716 + ], + [ + 4623, + 7667 + ], + [ + 5373, + 5913 + ], + [ + 3781, + 6826 + ], + [ + 1446, + 9910 + ], + [ + 195, + 536 + ], + [ + 9881, + 11468 + ], + [ + 4231, + 7062 + ], + [ + 4143, + 7215 + ], + [ + 2061, + 2077 + ], + [ + 3745, + 10552 + ], + [ + 6696, + 9686 + ], + [ + 6577, + 8274 + ], + [ + 1904, + 4345 + ], + [ + 10651, + 11120 + ], + [ + 1558, + 3708 + ], + [ + 756, + 2266 + ], + [ + 1370, + 10073 + ], + [ + 663, + 6239 + ], + [ + 2528, + 4172 + ], + [ + 1864, + 4946 + ], + [ + 281, + 3693 + ], + [ + 67, + 11089 + ], + [ + 1182, + 10776 + ], + [ + 5134, + 6277 + ], + [ + 2613, + 5973 + ], + [ + 4667, + 6811 + ], + [ + 1422, + 7230 + ], + [ + 1021, + 6886 + ], + [ + 470, + 9227 + ], + [ + 1236, + 4596 + ], + [ + 5074, + 11107 + ], + [ + 2545, + 4526 + ], + [ + 3351, + 6841 + ], + [ + 3015, + 6892 + ], + [ + 4978, + 8366 + ], + [ + 7839, + 10990 + ], + [ + 895, + 5434 + ], + [ + 5996, + 7366 + ], + [ + 3009, + 6323 + ], + [ + 2606, + 11568 + ], + [ + 2350, + 7441 + ], + [ + 180, + 2456 + ], + [ + 4595, + 5595 + ], + [ + 2385, + 9879 + ], + [ + 4372, + 9495 + ], + [ + 1530, + 4669 + ], + [ + 1230, + 10793 + ], + [ + 3749, + 10270 + ], + [ + 5922, + 8356 + ], + [ + 695, + 7251 + ], + [ + 2787, + 11579 + ], + [ + 4363, + 5245 + ], + [ + 5016, + 6564 + ], + [ + 3596, + 6241 + ], + [ + 819, + 8980 + ], + [ + 2089, + 3320 + ], + [ + 9690, + 11095 + ], + [ + 566, + 2118 + ], + [ + 4268, + 5358 + ], + [ + 5792, + 9414 + ], + [ + 3930, + 8746 + ], + [ + 7715, + 11489 + ], + [ + 3267, + 3706 + ], + [ + 467, + 4741 + ], + [ + 4102, + 4507 + ], + [ + 3971, + 7996 + ], + [ + 8561, + 9416 + ], + [ + 4875, + 10092 + ], + [ + 6088, + 6150 + ], + [ + 3034, + 3885 + ], + [ + 8357, + 8862 + ], + [ + 4067, + 4671 + ], + [ + 2635, + 2833 + ], + [ + 2465, + 4896 + ], + [ + 7239, + 8877 + ], + [ + 1573, + 6944 + ], + [ + 2774, + 5651 + ], + [ + 2876, + 9311 + ], + [ + 3704, + 8941 + ], + [ + 2809, + 5056 + ], + [ + 534, + 8191 + ], + [ + 5412, + 9142 + ], + [ + 1145, + 3649 + ], + [ + 5298, + 5822 + ], + [ + 9393, + 9545 + ], + [ + 1065, + 8581 + ], + [ + 9525, + 11162 + ], + [ + 6968, + 9703 + ], + [ + 588, + 8427 + ], + [ + 1078, + 1646 + ], + [ + 4412, + 11098 + ], + [ + 2423, + 8403 + ], + [ + 5969, + 11130 + ], + [ + 8918, + 9437 + ], + [ + 4123, + 4579 + ], + [ + 7283, + 7994 + ], + [ + 3140, + 7263 + ], + [ + 6997, + 11572 + ], + [ + 8112, + 11259 + ], + [ + 1758, + 4788 + ], + [ + 603, + 6456 + ], + [ + 7638, + 11376 + ], + [ + 5181, + 6361 + ], + [ + 6237, + 8851 + ], + [ + 1664, + 2874 + ], + [ + 2223, + 4558 + ], + [ + 7510, + 9878 + ], + [ + 5061, + 5478 + ], + [ + 5773, + 7404 + ], + [ + 4989, + 6541 + ], + [ + 11331, + 11497 + ], + [ + 6725, + 8790 + ], + [ + 479, + 10712 + ], + [ + 283, + 6636 + ], + [ + 1535, + 6786 + ], + [ + 9086, + 10310 + ], + [ + 5385, + 10678 + ], + [ + 9968, + 10927 + ], + [ + 687, + 8382 + ], + [ + 4269, + 10766 + ], + [ + 1339, + 6093 + ], + [ + 126, + 10035 + ], + [ + 2829, + 4903 + ], + [ + 4661, + 9866 + ], + [ + 3888, + 6910 + ], + [ + 6211, + 6475 + ], + [ + 9824, + 11178 + ], + [ + 3969, + 6340 + ], + [ + 80, + 6657 + ], + [ + 7707, + 9237 + ], + [ + 2669, + 6873 + ], + [ + 931, + 1545 + ], + [ + 1516, + 4450 + ], + [ + 1922, + 2886 + ], + [ + 4974, + 5078 + ], + [ + 1072, + 7442 + ], + [ + 5089, + 9754 + ], + [ + 1761, + 7664 + ], + [ + 1267, + 11293 + ], + [ + 2096, + 10394 + ], + [ + 2127, + 3291 + ], + [ + 6646, + 6753 + ], + [ + 4834, + 5448 + ], + [ + 9259, + 9275 + ], + [ + 4426, + 10349 + ], + [ + 2619, + 9388 + ], + [ + 2163, + 2167 + ], + [ + 3118, + 3851 + ], + [ + 5487, + 6767 + ], + [ + 814, + 9254 + ], + [ + 8821, + 9049 + ], + [ + 4363, + 9246 + ], + [ + 6078, + 10618 + ], + [ + 1128, + 3937 + ], + [ + 534, + 9614 + ], + [ + 5489, + 10223 + ], + [ + 2552, + 10795 + ], + [ + 5689, + 6901 + ], + [ + 3741, + 6459 + ], + [ + 2096, + 10744 + ], + [ + 152, + 7068 + ], + [ + 1394, + 2366 + ], + [ + 7844, + 8545 + ], + [ + 5734, + 10027 + ], + [ + 7346, + 9766 + ], + [ + 2019, + 11463 + ], + [ + 6747, + 9437 + ], + [ + 3168, + 9980 + ], + [ + 6664, + 7682 + ], + [ + 7937, + 7955 + ], + [ + 1870, + 4924 + ], + [ + 3668, + 8805 + ], + [ + 168, + 1535 + ], + [ + 1790, + 2716 + ], + [ + 6174, + 6542 + ], + [ + 2627, + 5842 + ], + [ + 5983, + 6193 + ], + [ + 5590, + 9874 + ], + [ + 4347, + 10941 + ], + [ + 8017, + 9762 + ], + [ + 4245, + 4248 + ], + [ + 9313, + 10958 + ], + [ + 1813, + 9651 + ], + [ + 8187, + 11112 + ], + [ + 11306, + 11520 + ], + [ + 6478, + 10686 + ], + [ + 9000, + 9680 + ], + [ + 62, + 3337 + ], + [ + 9746, + 11190 + ], + [ + 5222, + 10767 + ], + [ + 1144, + 10431 + ], + [ + 11128, + 11406 + ], + [ + 9763, + 11544 + ], + [ + 2454, + 7553 + ], + [ + 5778, + 11399 + ], + [ + 1823, + 4303 + ], + [ + 3596, + 11315 + ], + [ + 3723, + 4674 + ], + [ + 3812, + 9627 + ], + [ + 7955, + 11112 + ], + [ + 9846, + 10266 + ], + [ + 2248, + 6172 + ], + [ + 947, + 3851 + ], + [ + 6514, + 11440 + ], + [ + 3214, + 5736 + ], + [ + 4982, + 5988 + ], + [ + 4419, + 5316 + ], + [ + 5413, + 6174 + ], + [ + 2465, + 11475 + ], + [ + 1304, + 5027 + ], + [ + 743, + 2516 + ], + [ + 3215, + 5557 + ], + [ + 3205, + 4869 + ], + [ + 7532, + 8161 + ], + [ + 2269, + 7399 + ], + [ + 3767, + 6070 + ], + [ + 6467, + 11220 + ], + [ + 1558, + 5294 + ], + [ + 799, + 6208 + ], + [ + 3761, + 9638 + ], + [ + 4783, + 6128 + ], + [ + 8513, + 11416 + ], + [ + 4165, + 7247 + ], + [ + 4091, + 11270 + ], + [ + 3783, + 6953 + ], + [ + 546, + 4981 + ], + [ + 4035, + 5676 + ], + [ + 824, + 11341 + ], + [ + 4437, + 8874 + ], + [ + 3095, + 6552 + ], + [ + 4991, + 6050 + ], + [ + 8635, + 10066 + ], + [ + 1321, + 5731 + ], + [ + 2351, + 2836 + ], + [ + 2812, + 7395 + ], + [ + 6014, + 6148 + ], + [ + 7325, + 9911 + ], + [ + 2504, + 3078 + ], + [ + 7488, + 10841 + ], + [ + 69, + 8964 + ], + [ + 5702, + 8505 + ], + [ + 8555, + 10487 + ], + [ + 8883, + 9764 + ], + [ + 10609, + 11325 + ], + [ + 8401, + 10020 + ], + [ + 490, + 7681 + ], + [ + 8218, + 11067 + ], + [ + 4610, + 6708 + ], + [ + 2517, + 3663 + ], + [ + 772, + 3580 + ], + [ + 8332, + 9102 + ], + [ + 4135, + 11518 + ], + [ + 6869, + 7951 + ], + [ + 4076, + 10157 + ], + [ + 2161, + 4967 + ], + [ + 6333, + 11354 + ], + [ + 3141, + 9125 + ], + [ + 4616, + 6903 + ], + [ + 2281, + 9987 + ], + [ + 1315, + 3226 + ], + [ + 9630, + 10344 + ], + [ + 6199, + 11539 + ], + [ + 6636, + 8130 + ], + [ + 2066, + 5080 + ], + [ + 127, + 8918 + ], + [ + 3213, + 6934 + ], + [ + 5800, + 11241 + ], + [ + 5645, + 7166 + ], + [ + 5676, + 6479 + ], + [ + 5982, + 10723 + ], + [ + 2114, + 11163 + ], + [ + 4053, + 11462 + ], + [ + 4860, + 6832 + ], + [ + 3978, + 8844 + ], + [ + 1110, + 5803 + ], + [ + 5005, + 6432 + ], + [ + 4198, + 4646 + ], + [ + 7269, + 11052 + ], + [ + 7253, + 10519 + ], + [ + 7171, + 8265 + ], + [ + 2881, + 9736 + ], + [ + 1479, + 4357 + ], + [ + 5472, + 8527 + ], + [ + 618, + 2308 + ], + [ + 1443, + 8083 + ], + [ + 4591, + 7731 + ], + [ + 1943, + 6154 + ], + [ + 10470, + 10711 + ], + [ + 5484, + 8537 + ], + [ + 1936, + 4983 + ], + [ + 7944, + 10817 + ], + [ + 4809, + 9122 + ], + [ + 5220, + 10908 + ], + [ + 7608, + 10868 + ], + [ + 4905, + 9584 + ], + [ + 2873, + 6061 + ], + [ + 4929, + 7726 + ], + [ + 693, + 6804 + ], + [ + 3272, + 9742 + ], + [ + 7718, + 8784 + ], + [ + 4058, + 4235 + ], + [ + 4418, + 7961 + ], + [ + 6885, + 11412 + ], + [ + 5385, + 5498 + ], + [ + 2305, + 9926 + ], + [ + 3864, + 4369 + ], + [ + 2710, + 11143 + ], + [ + 1308, + 5764 + ], + [ + 3326, + 6945 + ], + [ + 2082, + 5158 + ], + [ + 1832, + 10645 + ], + [ + 4609, + 8660 + ], + [ + 435, + 6364 + ], + [ + 7747, + 9872 + ], + [ + 2303, + 10230 + ], + [ + 8619, + 9801 + ], + [ + 4003, + 6406 + ], + [ + 2664, + 7765 + ], + [ + 3887, + 8675 + ], + [ + 862, + 11312 + ], + [ + 5745, + 6191 + ], + [ + 1672, + 10363 + ], + [ + 2114, + 10708 + ], + [ + 92, + 8627 + ], + [ + 5185, + 10698 + ], + [ + 4565, + 10990 + ], + [ + 1322, + 5820 + ], + [ + 737, + 2915 + ], + [ + 2786, + 5661 + ], + [ + 8109, + 11392 + ], + [ + 6020, + 11499 + ], + [ + 6739, + 10432 + ], + [ + 4088, + 5174 + ], + [ + 5283, + 10452 + ], + [ + 3942, + 8732 + ], + [ + 1033, + 2684 + ], + [ + 7395, + 9016 + ], + [ + 10340, + 10587 + ], + [ + 2332, + 8315 + ], + [ + 310, + 9644 + ], + [ + 1707, + 5230 + ], + [ + 11178, + 11282 + ], + [ + 5507, + 9005 + ], + [ + 615, + 10630 + ], + [ + 5682, + 7316 + ], + [ + 7645, + 8790 + ], + [ + 1636, + 9901 + ], + [ + 428, + 7771 + ], + [ + 10450, + 11482 + ], + [ + 7673, + 7805 + ], + [ + 5367, + 9375 + ], + [ + 6557, + 10145 + ], + [ + 2440, + 8383 + ], + [ + 2577, + 11098 + ], + [ + 602, + 8109 + ], + [ + 2381, + 4770 + ], + [ + 2283, + 4235 + ], + [ + 1999, + 4476 + ], + [ + 6176, + 10453 + ], + [ + 1474, + 1622 + ], + [ + 7738, + 11583 + ], + [ + 730, + 10738 + ], + [ + 4273, + 7532 + ], + [ + 880, + 883 + ], + [ + 659, + 5610 + ], + [ + 344, + 10702 + ], + [ + 62, + 1190 + ], + [ + 5859, + 6023 + ], + [ + 150, + 256 + ], + [ + 3764, + 5561 + ], + [ + 6757, + 10556 + ], + [ + 5625, + 9010 + ], + [ + 2710, + 9533 + ], + [ + 7691, + 11363 + ], + [ + 1089, + 5544 + ], + [ + 3257, + 3286 + ], + [ + 490, + 10877 + ], + [ + 5779, + 6444 + ], + [ + 6212, + 9709 + ], + [ + 3375, + 5227 + ], + [ + 1542, + 3045 + ], + [ + 1325, + 4508 + ], + [ + 7329, + 8688 + ], + [ + 7823, + 9977 + ], + [ + 3967, + 8522 + ], + [ + 6859, + 10459 + ], + [ + 9133, + 9351 + ], + [ + 478, + 9712 + ], + [ + 4332, + 10340 + ], + [ + 3807, + 7486 + ], + [ + 4390, + 7312 + ], + [ + 3408, + 7188 + ], + [ + 60, + 3722 + ], + [ + 5419, + 11362 + ], + [ + 7695, + 11081 + ], + [ + 2110, + 7824 + ], + [ + 933, + 7259 + ], + [ + 10951, + 11201 + ], + [ + 7768, + 8334 + ], + [ + 8019, + 9865 + ], + [ + 5436, + 8683 + ], + [ + 959, + 2414 + ], + [ + 2545, + 7348 + ], + [ + 4307, + 10818 + ], + [ + 1053, + 8465 + ], + [ + 1074, + 6336 + ], + [ + 2791, + 4371 + ], + [ + 3099, + 4524 + ], + [ + 4339, + 9575 + ], + [ + 8919, + 11061 + ], + [ + 3253, + 8374 + ], + [ + 6081, + 6354 + ], + [ + 6607, + 7898 + ], + [ + 6586, + 7775 + ], + [ + 7484, + 8925 + ], + [ + 939, + 9302 + ], + [ + 4645, + 7780 + ], + [ + 189, + 2388 + ], + [ + 8067, + 8751 + ], + [ + 3406, + 6337 + ], + [ + 1025, + 2660 + ], + [ + 8696, + 8922 + ], + [ + 565, + 5119 + ], + [ + 4771, + 9582 + ], + [ + 4585, + 6948 + ], + [ + 3213, + 9325 + ], + [ + 1618, + 6557 + ], + [ + 7533, + 11446 + ], + [ + 4823, + 8991 + ], + [ + 3730, + 5121 + ], + [ + 3337, + 11054 + ], + [ + 7840, + 9876 + ], + [ + 1453, + 7429 + ], + [ + 5415, + 10034 + ], + [ + 3760, + 6461 + ], + [ + 5344, + 11322 + ], + [ + 184, + 8029 + ], + [ + 55, + 9339 + ], + [ + 4757, + 7590 + ], + [ + 5934, + 8155 + ], + [ + 9012, + 9316 + ], + [ + 3470, + 9139 + ], + [ + 7368, + 7787 + ], + [ + 3526, + 10202 + ], + [ + 482, + 7871 + ], + [ + 1684, + 3770 + ], + [ + 6950, + 8213 + ], + [ + 7259, + 9722 + ], + [ + 4141, + 11414 + ], + [ + 2100, + 9283 + ], + [ + 6795, + 10527 + ], + [ + 816, + 7343 + ], + [ + 2712, + 7595 + ], + [ + 9, + 2147 + ], + [ + 5792, + 8048 + ], + [ + 1310, + 7851 + ], + [ + 4851, + 10234 + ], + [ + 2762, + 10341 + ], + [ + 6380, + 8972 + ], + [ + 5504, + 11553 + ], + [ + 7650, + 8947 + ], + [ + 3104, + 10455 + ], + [ + 1636, + 9714 + ], + [ + 7670, + 9599 + ], + [ + 2735, + 8868 + ], + [ + 3033, + 6081 + ], + [ + 925, + 1220 + ], + [ + 10159, + 10365 + ], + [ + 2751, + 5614 + ], + [ + 3530, + 9516 + ], + [ + 4058, + 5471 + ], + [ + 6257, + 9696 + ], + [ + 6210, + 9850 + ], + [ + 1002, + 8795 + ], + [ + 326, + 6526 + ], + [ + 5580, + 7202 + ], + [ + 4981, + 8371 + ], + [ + 36, + 6198 + ], + [ + 5514, + 8834 + ], + [ + 3282, + 9387 + ], + [ + 2281, + 4352 + ], + [ + 4180, + 10537 + ], + [ + 5888, + 10738 + ], + [ + 4644, + 8951 + ], + [ + 2648, + 5085 + ], + [ + 2925, + 7837 + ], + [ + 189, + 10577 + ], + [ + 877, + 10197 + ], + [ + 2231, + 9900 + ], + [ + 183, + 5844 + ], + [ + 589, + 7286 + ], + [ + 3543, + 10101 + ], + [ + 1120, + 11086 + ], + [ + 4790, + 4989 + ], + [ + 4480, + 10425 + ], + [ + 4169, + 6591 + ], + [ + 4783, + 7982 + ], + [ + 6469, + 6704 + ], + [ + 5624, + 8598 + ], + [ + 1112, + 9690 + ], + [ + 6251, + 8696 + ], + [ + 1953, + 11060 + ], + [ + 2571, + 2771 + ], + [ + 4501, + 8269 + ], + [ + 10669, + 11352 + ], + [ + 989, + 11542 + ], + [ + 609, + 4905 + ], + [ + 6216, + 9641 + ], + [ + 3088, + 4983 + ], + [ + 5655, + 11267 + ], + [ + 1603, + 9900 + ], + [ + 11116, + 11290 + ], + [ + 9199, + 10915 + ], + [ + 8186, + 10781 + ], + [ + 4309, + 8449 + ], + [ + 5429, + 8480 + ], + [ + 1683, + 11357 + ], + [ + 4107, + 10974 + ], + [ + 591, + 9587 + ], + [ + 875, + 2930 + ], + [ + 2771, + 3182 + ], + [ + 56, + 383 + ], + [ + 4233, + 6360 + ], + [ + 3046, + 5107 + ], + [ + 6882, + 11545 + ], + [ + 7247, + 9980 + ], + [ + 1345, + 5296 + ], + [ + 2637, + 3367 + ], + [ + 3044, + 7663 + ], + [ + 4038, + 9275 + ], + [ + 4886, + 11062 + ], + [ + 6493, + 10457 + ], + [ + 1608, + 9089 + ], + [ + 2507, + 10841 + ], + [ + 2161, + 3788 + ], + [ + 1197, + 10686 + ], + [ + 7453, + 10206 + ], + [ + 8974, + 10581 + ], + [ + 7422, + 8641 + ], + [ + 2850, + 11180 + ], + [ + 6924, + 9862 + ], + [ + 10728, + 11127 + ], + [ + 4553, + 4621 + ], + [ + 1246, + 4162 + ], + [ + 1853, + 2854 + ], + [ + 354, + 6210 + ], + [ + 2589, + 5928 + ], + [ + 4526, + 6181 + ], + [ + 1628, + 3675 + ], + [ + 8813, + 10074 + ], + [ + 1155, + 1765 + ], + [ + 5979, + 11525 + ], + [ + 6096, + 6448 + ], + [ + 342, + 8078 + ], + [ + 4521, + 9220 + ], + [ + 467, + 7026 + ], + [ + 1747, + 9224 + ], + [ + 1869, + 10153 + ], + [ + 10200, + 10634 + ], + [ + 3462, + 6432 + ], + [ + 2777, + 5575 + ], + [ + 8033, + 10084 + ], + [ + 125, + 846 + ], + [ + 6594, + 7075 + ], + [ + 7337, + 11320 + ], + [ + 4505, + 7182 + ], + [ + 3610, + 9713 + ], + [ + 3782, + 10759 + ], + [ + 1263, + 11282 + ], + [ + 2424, + 4898 + ], + [ + 3004, + 7459 + ], + [ + 731, + 8011 + ], + [ + 10448, + 11086 + ], + [ + 4314, + 6833 + ], + [ + 3820, + 10462 + ], + [ + 1071, + 1663 + ], + [ + 7058, + 8872 + ], + [ + 4692, + 10391 + ], + [ + 10153, + 11168 + ], + [ + 1066, + 4702 + ], + [ + 3063, + 11422 + ], + [ + 9601, + 9874 + ], + [ + 2438, + 11370 + ], + [ + 198, + 5646 + ], + [ + 2901, + 6930 + ], + [ + 5829, + 10776 + ], + [ + 8602, + 11301 + ], + [ + 104, + 5230 + ], + [ + 8686, + 9494 + ], + [ + 1237, + 8906 + ], + [ + 9614, + 10486 + ], + [ + 10739, + 10861 + ], + [ + 7599, + 8822 + ], + [ + 5840, + 11315 + ], + [ + 7593, + 9007 + ], + [ + 10741, + 10907 + ], + [ + 5040, + 9919 + ], + [ + 1238, + 3065 + ], + [ + 274, + 9963 + ], + [ + 5522, + 8939 + ], + [ + 3009, + 6998 + ], + [ + 2537, + 7942 + ], + [ + 5896, + 7810 + ], + [ + 3504, + 10360 + ], + [ + 9132, + 10311 + ], + [ + 5369, + 9047 + ], + [ + 7103, + 10469 + ], + [ + 1232, + 11514 + ], + [ + 2096, + 7418 + ], + [ + 5019, + 10920 + ], + [ + 1942, + 6951 + ], + [ + 1624, + 1946 + ], + [ + 3391, + 5760 + ], + [ + 4667, + 9714 + ], + [ + 7497, + 10773 + ], + [ + 2860, + 8753 + ], + [ + 4663, + 6562 + ], + [ + 2181, + 10350 + ], + [ + 1677, + 8373 + ], + [ + 4168, + 5802 + ], + [ + 3853, + 10894 + ], + [ + 7466, + 8427 + ], + [ + 9673, + 10261 + ], + [ + 303, + 4261 + ], + [ + 2039, + 6510 + ], + [ + 4222, + 6038 + ], + [ + 7800, + 10932 + ], + [ + 393, + 6406 + ], + [ + 737, + 10380 + ], + [ + 7438, + 9762 + ], + [ + 3603, + 6932 + ], + [ + 4618, + 9421 + ], + [ + 1159, + 8568 + ], + [ + 5240, + 8421 + ], + [ + 3714, + 7702 + ], + [ + 8065, + 9136 + ], + [ + 4114, + 4411 + ], + [ + 4057, + 8041 + ], + [ + 3250, + 6255 + ], + [ + 4303, + 5064 + ], + [ + 7079, + 11522 + ], + [ + 1446, + 8975 + ], + [ + 6384, + 9977 + ], + [ + 565, + 5550 + ], + [ + 1874, + 7732 + ], + [ + 1750, + 5976 + ], + [ + 6113, + 8925 + ], + [ + 2238, + 8948 + ], + [ + 1801, + 5941 + ], + [ + 1246, + 11546 + ], + [ + 4016, + 8390 + ], + [ + 4133, + 8975 + ], + [ + 8503, + 8931 + ], + [ + 6725, + 10620 + ], + [ + 4918, + 9659 + ], + [ + 8614, + 9701 + ], + [ + 4094, + 6014 + ], + [ + 9212, + 10559 + ], + [ + 2041, + 8784 + ], + [ + 2732, + 9833 + ], + [ + 1524, + 3539 + ], + [ + 2453, + 4756 + ], + [ + 2415, + 8436 + ], + [ + 7180, + 8167 + ], + [ + 8883, + 10276 + ], + [ + 4597, + 7739 + ], + [ + 9750, + 9861 + ], + [ + 4970, + 6035 + ], + [ + 2348, + 9843 + ], + [ + 667, + 8055 + ], + [ + 4619, + 11470 + ], + [ + 4586, + 6826 + ], + [ + 4116, + 4433 + ], + [ + 5676, + 8146 + ], + [ + 3377, + 7477 + ], + [ + 1224, + 5879 + ], + [ + 1964, + 3437 + ], + [ + 441, + 2235 + ], + [ + 3240, + 10397 + ], + [ + 3061, + 8180 + ], + [ + 7698, + 10200 + ], + [ + 6354, + 11215 + ], + [ + 2457, + 6753 + ], + [ + 339, + 8374 + ], + [ + 10338, + 11135 + ], + [ + 314, + 10761 + ], + [ + 2544, + 9381 + ], + [ + 186, + 10761 + ], + [ + 3825, + 10269 + ], + [ + 4699, + 11025 + ], + [ + 5850, + 6205 + ], + [ + 5720, + 10296 + ], + [ + 6473, + 8813 + ], + [ + 921, + 1532 + ], + [ + 3355, + 8253 + ], + [ + 7143, + 11267 + ], + [ + 4629, + 5718 + ], + [ + 3743, + 7611 + ], + [ + 1917, + 8852 + ], + [ + 164, + 8908 + ], + [ + 330, + 10109 + ], + [ + 5053, + 6985 + ], + [ + 7888, + 8388 + ], + [ + 2007, + 8745 + ], + [ + 851, + 2641 + ], + [ + 2315, + 6646 + ], + [ + 882, + 1954 + ], + [ + 8973, + 9364 + ], + [ + 820, + 10875 + ], + [ + 1102, + 9807 + ], + [ + 6978, + 9106 + ], + [ + 5820, + 6339 + ], + [ + 5212, + 8146 + ], + [ + 5143, + 10261 + ], + [ + 6664, + 11390 + ], + [ + 6206, + 9758 + ], + [ + 2930, + 8612 + ], + [ + 2059, + 11537 + ], + [ + 2357, + 8750 + ], + [ + 4385, + 10619 + ], + [ + 774, + 1081 + ], + [ + 379, + 10351 + ], + [ + 5133, + 8792 + ], + [ + 4321, + 6662 + ], + [ + 5757, + 9373 + ], + [ + 7835, + 8353 + ], + [ + 5541, + 7274 + ], + [ + 4039, + 11113 + ], + [ + 4510, + 6534 + ], + [ + 7032, + 9692 + ], + [ + 893, + 5095 + ], + [ + 7398, + 10981 + ], + [ + 10854, + 11536 + ], + [ + 10656, + 10797 + ], + [ + 231, + 2909 + ], + [ + 5081, + 8228 + ], + [ + 2161, + 8407 + ], + [ + 1158, + 9715 + ], + [ + 1193, + 5737 + ], + [ + 6630, + 7618 + ], + [ + 4300, + 11046 + ], + [ + 2492, + 7231 + ], + [ + 4770, + 7777 + ], + [ + 3488, + 9670 + ], + [ + 1786, + 6251 + ], + [ + 5420, + 11077 + ], + [ + 4107, + 11405 + ], + [ + 7844, + 11448 + ], + [ + 4514, + 9285 + ], + [ + 2647, + 8273 + ], + [ + 8846, + 10669 + ], + [ + 8782, + 8964 + ], + [ + 5535, + 6304 + ], + [ + 4146, + 7546 + ], + [ + 2644, + 7221 + ], + [ + 4232, + 7320 + ], + [ + 3723, + 4999 + ], + [ + 2736, + 7941 + ], + [ + 2853, + 9280 + ], + [ + 707, + 8099 + ], + [ + 898, + 1251 + ], + [ + 5034, + 11391 + ], + [ + 2448, + 11446 + ], + [ + 6684, + 8204 + ], + [ + 5808, + 10785 + ], + [ + 4622, + 5970 + ], + [ + 1862, + 4152 + ], + [ + 5062, + 6242 + ], + [ + 328, + 8453 + ], + [ + 3376, + 10903 + ], + [ + 2096, + 9459 + ], + [ + 9155, + 10269 + ], + [ + 6484, + 7742 + ], + [ + 2351, + 7699 + ], + [ + 691, + 3782 + ], + [ + 3027, + 9968 + ], + [ + 1121, + 2612 + ], + [ + 4988, + 8363 + ], + [ + 3584, + 8573 + ], + [ + 3522, + 7695 + ], + [ + 5669, + 10976 + ], + [ + 8563, + 9576 + ], + [ + 225, + 7924 + ], + [ + 2400, + 6837 + ], + [ + 10091, + 11122 + ], + [ + 2552, + 9860 + ], + [ + 1645, + 10876 + ], + [ + 2517, + 11559 + ], + [ + 2680, + 6073 + ], + [ + 7126, + 11531 + ], + [ + 1364, + 2720 + ], + [ + 2572, + 4850 + ], + [ + 2614, + 8459 + ], + [ + 4293, + 9420 + ], + [ + 3391, + 11534 + ], + [ + 4480, + 9246 + ], + [ + 774, + 9270 + ], + [ + 6684, + 7399 + ], + [ + 4065, + 10724 + ], + [ + 7425, + 10817 + ], + [ + 2814, + 7766 + ], + [ + 8915, + 9627 + ], + [ + 8519, + 9627 + ], + [ + 4087, + 8793 + ], + [ + 8049, + 10644 + ], + [ + 796, + 9968 + ], + [ + 163, + 5891 + ], + [ + 3382, + 4251 + ], + [ + 7766, + 8077 + ], + [ + 2372, + 3634 + ], + [ + 1632, + 10240 + ], + [ + 1533, + 3064 + ], + [ + 5948, + 6203 + ], + [ + 1383, + 10667 + ], + [ + 325, + 934 + ], + [ + 2842, + 10164 + ], + [ + 5615, + 10689 + ], + [ + 2623, + 4384 + ], + [ + 6014, + 10206 + ], + [ + 3428, + 9507 + ], + [ + 1783, + 7376 + ], + [ + 3089, + 3625 + ], + [ + 3392, + 7598 + ], + [ + 31, + 3870 + ], + [ + 9862, + 11019 + ], + [ + 2202, + 6047 + ], + [ + 1682, + 3537 + ], + [ + 1234, + 9039 + ], + [ + 9525, + 10845 + ], + [ + 1024, + 5257 + ], + [ + 4611, + 10991 + ], + [ + 2020, + 3532 + ], + [ + 117, + 2109 + ], + [ + 9707, + 10327 + ], + [ + 1679, + 3239 + ], + [ + 2766, + 11458 + ], + [ + 4977, + 5864 + ], + [ + 2735, + 5729 + ], + [ + 7282, + 10485 + ], + [ + 2227, + 4010 + ], + [ + 520, + 1001 + ], + [ + 1022, + 1397 + ], + [ + 3472, + 9405 + ], + [ + 2701, + 9528 + ], + [ + 2823, + 4795 + ], + [ + 261, + 8654 + ], + [ + 3504, + 7408 + ], + [ + 5673, + 6506 + ], + [ + 263, + 8700 + ], + [ + 3007, + 10739 + ], + [ + 11035, + 11411 + ], + [ + 6572, + 11264 + ], + [ + 1973, + 3312 + ], + [ + 1121, + 4035 + ], + [ + 5900, + 9114 + ], + [ + 2999, + 9343 + ], + [ + 9628, + 11323 + ], + [ + 6132, + 7959 + ], + [ + 5949, + 9006 + ], + [ + 438, + 3978 + ], + [ + 1382, + 5473 + ], + [ + 6198, + 9710 + ], + [ + 1621, + 5489 + ], + [ + 3861, + 5551 + ], + [ + 6512, + 10809 + ], + [ + 781, + 4317 + ], + [ + 3583, + 9744 + ], + [ + 1183, + 5263 + ], + [ + 2055, + 8198 + ], + [ + 2518, + 3004 + ], + [ + 3046, + 9539 + ], + [ + 7122, + 9048 + ], + [ + 4608, + 9915 + ], + [ + 993, + 11555 + ], + [ + 1717, + 11586 + ], + [ + 1138, + 1356 + ], + [ + 7350, + 11127 + ], + [ + 1746, + 10072 + ], + [ + 4100, + 11202 + ], + [ + 4573, + 7450 + ], + [ + 48, + 9835 + ], + [ + 733, + 3522 + ], + [ + 839, + 4672 + ], + [ + 2425, + 10360 + ], + [ + 3000, + 6161 + ], + [ + 699, + 8075 + ], + [ + 5901, + 10813 + ], + [ + 7243, + 7473 + ], + [ + 1075, + 4390 + ], + [ + 4737, + 8231 + ], + [ + 388, + 6843 + ], + [ + 1723, + 7994 + ], + [ + 5388, + 6471 + ], + [ + 3674, + 7953 + ], + [ + 7753, + 11143 + ], + [ + 2813, + 10068 + ], + [ + 8009, + 8854 + ], + [ + 3871, + 8467 + ], + [ + 230, + 2470 + ], + [ + 8282, + 8454 + ], + [ + 7008, + 10208 + ], + [ + 615, + 2311 + ], + [ + 595, + 10704 + ], + [ + 588, + 9533 + ], + [ + 5440, + 9263 + ], + [ + 4232, + 7133 + ], + [ + 983, + 10062 + ], + [ + 1482, + 7531 + ], + [ + 1712, + 4021 + ], + [ + 673, + 2666 + ], + [ + 110, + 3492 + ], + [ + 4072, + 8349 + ], + [ + 5500, + 6281 + ], + [ + 8697, + 8854 + ], + [ + 3096, + 5064 + ], + [ + 5060, + 9392 + ], + [ + 1412, + 5607 + ], + [ + 1690, + 4797 + ], + [ + 8154, + 11436 + ], + [ + 9933, + 10349 + ], + [ + 9305, + 10780 + ], + [ + 2493, + 9847 + ], + [ + 626, + 8081 + ], + [ + 8251, + 8336 + ], + [ + 5195, + 10906 + ], + [ + 2801, + 11131 + ], + [ + 5967, + 7221 + ], + [ + 1885, + 7897 + ], + [ + 8488, + 10908 + ], + [ + 3222, + 9094 + ], + [ + 359, + 6397 + ], + [ + 4600, + 7663 + ], + [ + 4490, + 9777 + ], + [ + 2256, + 6497 + ], + [ + 2533, + 5085 + ], + [ + 2261, + 7595 + ], + [ + 9656, + 10606 + ], + [ + 6830, + 10420 + ], + [ + 7670, + 10811 + ], + [ + 418, + 3190 + ], + [ + 7071, + 9728 + ], + [ + 5457, + 9162 + ], + [ + 2460, + 3267 + ], + [ + 5660, + 9521 + ], + [ + 6451, + 10774 + ], + [ + 7261, + 9825 + ], + [ + 2048, + 8426 + ], + [ + 1879, + 6897 + ], + [ + 7125, + 9964 + ], + [ + 6013, + 10548 + ], + [ + 7628, + 8306 + ], + [ + 3325, + 9572 + ], + [ + 2203, + 8714 + ], + [ + 8682, + 9969 + ], + [ + 6435, + 8736 + ], + [ + 2758, + 6492 + ], + [ + 1679, + 3052 + ], + [ + 5813, + 5949 + ], + [ + 2019, + 3120 + ], + [ + 1539, + 6455 + ], + [ + 577, + 1348 + ], + [ + 6870, + 11293 + ], + [ + 55, + 8591 + ], + [ + 4286, + 5759 + ], + [ + 10891, + 11095 + ], + [ + 6377, + 11360 + ], + [ + 1515, + 5280 + ], + [ + 2485, + 7996 + ], + [ + 4278, + 4363 + ], + [ + 164, + 8534 + ], + [ + 7268, + 9841 + ], + [ + 5437, + 9984 + ], + [ + 7708, + 9359 + ], + [ + 3374, + 4896 + ], + [ + 659, + 2097 + ], + [ + 8291, + 9185 + ], + [ + 2152, + 5342 + ], + [ + 6797, + 7223 + ], + [ + 5742, + 7587 + ], + [ + 4555, + 6334 + ], + [ + 8502, + 10159 + ], + [ + 5792, + 6950 + ], + [ + 95, + 3452 + ], + [ + 5101, + 7032 + ], + [ + 660, + 2672 + ], + [ + 7124, + 8557 + ], + [ + 6907, + 10020 + ], + [ + 8099, + 9365 + ], + [ + 4955, + 10590 + ], + [ + 1342, + 6641 + ], + [ + 3427, + 9044 + ], + [ + 2677, + 3628 + ], + [ + 368, + 1517 + ], + [ + 6035, + 7058 + ], + [ + 116, + 11095 + ], + [ + 331, + 6553 + ], + [ + 4379, + 10430 + ], + [ + 5659, + 7710 + ], + [ + 2256, + 4537 + ], + [ + 1605, + 10434 + ], + [ + 2514, + 8710 + ], + [ + 4472, + 9840 + ], + [ + 6466, + 10627 + ], + [ + 324, + 2349 + ], + [ + 1545, + 8848 + ], + [ + 950, + 5255 + ], + [ + 3040, + 8002 + ], + [ + 3128, + 4439 + ], + [ + 1144, + 2088 + ], + [ + 1295, + 2257 + ], + [ + 142, + 6250 + ], + [ + 9323, + 9345 + ], + [ + 6274, + 7424 + ], + [ + 3251, + 6724 + ], + [ + 761, + 5733 + ], + [ + 231, + 2535 + ], + [ + 3242, + 8890 + ], + [ + 630, + 2806 + ], + [ + 599, + 1241 + ], + [ + 7973, + 9791 + ], + [ + 10660, + 11296 + ], + [ + 5796, + 10051 + ], + [ + 8134, + 10648 + ], + [ + 2995, + 5226 + ], + [ + 2100, + 4347 + ], + [ + 3239, + 7838 + ], + [ + 3490, + 5205 + ], + [ + 2595, + 8490 + ], + [ + 7975, + 9837 + ], + [ + 353, + 1185 + ], + [ + 6046, + 7947 + ], + [ + 1252, + 5943 + ], + [ + 87, + 2005 + ], + [ + 336, + 2709 + ], + [ + 127, + 8951 + ], + [ + 10822, + 11250 + ], + [ + 1049, + 8243 + ], + [ + 2174, + 8618 + ], + [ + 374, + 8828 + ], + [ + 2170, + 11128 + ], + [ + 7681, + 9740 + ], + [ + 8116, + 9668 + ], + [ + 1767, + 3541 + ], + [ + 4074, + 8989 + ], + [ + 3141, + 11036 + ], + [ + 6178, + 9190 + ], + [ + 4411, + 5376 + ], + [ + 488, + 2699 + ], + [ + 4942, + 11428 + ], + [ + 4500, + 4667 + ], + [ + 2507, + 10898 + ], + [ + 2471, + 4825 + ], + [ + 4026, + 11200 + ], + [ + 7455, + 10336 + ], + [ + 3692, + 5662 + ], + [ + 4858, + 5314 + ], + [ + 10179, + 10218 + ], + [ + 204, + 9706 + ], + [ + 3621, + 10333 + ], + [ + 5183, + 10709 + ], + [ + 9868, + 11265 + ], + [ + 2497, + 6396 + ], + [ + 4122, + 11258 + ], + [ + 5757, + 7039 + ], + [ + 2185, + 2337 + ], + [ + 4363, + 7937 + ], + [ + 4927, + 9965 + ], + [ + 4381, + 8516 + ], + [ + 6607, + 8118 + ], + [ + 5633, + 7912 + ], + [ + 7935, + 8852 + ], + [ + 2174, + 7813 + ], + [ + 9455, + 9756 + ], + [ + 460, + 2879 + ], + [ + 4006, + 9770 + ], + [ + 4475, + 8528 + ], + [ + 2572, + 7859 + ], + [ + 676, + 1191 + ], + [ + 2823, + 5226 + ], + [ + 4815, + 5186 + ], + [ + 3380, + 3831 + ], + [ + 11187, + 11482 + ], + [ + 9377, + 11004 + ], + [ + 475, + 908 + ], + [ + 4337, + 5561 + ], + [ + 1632, + 9866 + ], + [ + 4715, + 11371 + ], + [ + 1315, + 7715 + ], + [ + 6803, + 11039 + ], + [ + 9616, + 10239 + ], + [ + 3365, + 5401 + ], + [ + 9748, + 10358 + ], + [ + 8683, + 10034 + ], + [ + 1030, + 2069 + ], + [ + 3055, + 4421 + ], + [ + 3614, + 6105 + ], + [ + 4820, + 5156 + ], + [ + 6268, + 10880 + ], + [ + 558, + 3013 + ], + [ + 4730, + 8646 + ], + [ + 2491, + 5776 + ], + [ + 2931, + 5294 + ], + [ + 6807, + 10407 + ], + [ + 9921, + 11225 + ], + [ + 10074, + 11467 + ], + [ + 5724, + 7225 + ], + [ + 803, + 3194 + ], + [ + 4963, + 7312 + ], + [ + 1764, + 8830 + ], + [ + 2297, + 11545 + ], + [ + 298, + 8162 + ], + [ + 1268, + 10878 + ], + [ + 5336, + 6362 + ], + [ + 1091, + 8737 + ], + [ + 3866, + 5171 + ], + [ + 6512, + 10085 + ], + [ + 1624, + 5036 + ], + [ + 344, + 586 + ], + [ + 543, + 4179 + ], + [ + 786, + 1685 + ], + [ + 3334, + 6064 + ], + [ + 7162, + 7723 + ], + [ + 2845, + 2867 + ], + [ + 9, + 4245 + ], + [ + 3966, + 5752 + ], + [ + 4494, + 8123 + ], + [ + 2154, + 10863 + ], + [ + 13, + 10780 + ], + [ + 2157, + 8882 + ], + [ + 378, + 3553 + ], + [ + 1300, + 9261 + ], + [ + 6563, + 10023 + ], + [ + 873, + 9948 + ], + [ + 8099, + 9178 + ], + [ + 3636, + 9031 + ], + [ + 659, + 8676 + ], + [ + 5258, + 10212 + ], + [ + 1583, + 4631 + ], + [ + 7596, + 10809 + ], + [ + 8305, + 9054 + ], + [ + 1746, + 6315 + ], + [ + 6572, + 11240 + ], + [ + 2517, + 6192 + ], + [ + 3795, + 6809 + ], + [ + 6935, + 8848 + ], + [ + 2515, + 3113 + ], + [ + 4261, + 6050 + ], + [ + 183, + 5714 + ], + [ + 456, + 4560 + ], + [ + 8668, + 10799 + ], + [ + 868, + 9200 + ], + [ + 1553, + 3641 + ], + [ + 4373, + 9674 + ], + [ + 4529, + 10187 + ], + [ + 3787, + 9550 + ], + [ + 702, + 7218 + ], + [ + 2918, + 6886 + ], + [ + 4506, + 8483 + ], + [ + 9969, + 10087 + ], + [ + 2630, + 9637 + ], + [ + 1100, + 5012 + ], + [ + 6769, + 7216 + ], + [ + 1373, + 6864 + ], + [ + 7415, + 11528 + ], + [ + 1744, + 8497 + ], + [ + 5632, + 8709 + ], + [ + 3149, + 4725 + ], + [ + 437, + 5607 + ], + [ + 6168, + 8689 + ], + [ + 2799, + 5100 + ], + [ + 3669, + 4202 + ], + [ + 6325, + 9804 + ], + [ + 6005, + 10388 + ], + [ + 5320, + 10285 + ], + [ + 6745, + 8700 + ], + [ + 4296, + 4300 + ], + [ + 9791, + 10323 + ], + [ + 4259, + 10834 + ], + [ + 2567, + 8133 + ], + [ + 299, + 6023 + ], + [ + 1913, + 3179 + ], + [ + 3434, + 7718 + ], + [ + 1976, + 4659 + ], + [ + 7547, + 9738 + ], + [ + 5458, + 5681 + ], + [ + 1442, + 4725 + ], + [ + 4248, + 6888 + ], + [ + 2725, + 5686 + ], + [ + 4614, + 11183 + ], + [ + 9163, + 11104 + ], + [ + 565, + 7835 + ], + [ + 9064, + 10344 + ], + [ + 1843, + 2036 + ], + [ + 4210, + 9787 + ], + [ + 5800, + 6549 + ], + [ + 5736, + 9008 + ], + [ + 1088, + 6075 + ], + [ + 3266, + 5259 + ], + [ + 4673, + 8730 + ], + [ + 9802, + 10458 + ], + [ + 6414, + 11323 + ], + [ + 160, + 552 + ], + [ + 3272, + 6205 + ], + [ + 1515, + 5361 + ], + [ + 5606, + 10066 + ], + [ + 2454, + 6512 + ], + [ + 5824, + 11457 + ], + [ + 8773, + 9764 + ], + [ + 5438, + 11421 + ], + [ + 8085, + 8609 + ], + [ + 6552, + 10102 + ], + [ + 5841, + 8778 + ], + [ + 6458, + 8188 + ], + [ + 4889, + 5887 + ], + [ + 7755, + 8855 + ], + [ + 977, + 10916 + ], + [ + 6624, + 8665 + ], + [ + 3805, + 11148 + ], + [ + 2501, + 2894 + ], + [ + 3122, + 5456 + ], + [ + 1403, + 6594 + ], + [ + 3213, + 4820 + ], + [ + 4611, + 7047 + ], + [ + 6223, + 10950 + ], + [ + 4069, + 6498 + ], + [ + 2388, + 3956 + ], + [ + 9622, + 10217 + ], + [ + 1214, + 1410 + ], + [ + 7148, + 10513 + ], + [ + 6282, + 11530 + ], + [ + 3886, + 4512 + ], + [ + 9391, + 11223 + ], + [ + 2443, + 10429 + ], + [ + 1796, + 6646 + ], + [ + 506, + 8678 + ], + [ + 361, + 5291 + ], + [ + 304, + 4757 + ], + [ + 493, + 7662 + ], + [ + 354, + 4120 + ], + [ + 8636, + 8846 + ], + [ + 362, + 2483 + ], + [ + 1033, + 10824 + ], + [ + 360, + 5820 + ], + [ + 6703, + 9466 + ], + [ + 5612, + 7921 + ], + [ + 2348, + 8290 + ], + [ + 4014, + 5636 + ], + [ + 8670, + 11059 + ], + [ + 1095, + 2253 + ], + [ + 5261, + 10323 + ], + [ + 1493, + 8715 + ], + [ + 2269, + 2520 + ], + [ + 4137, + 7140 + ], + [ + 7714, + 9180 + ], + [ + 685, + 9710 + ], + [ + 4699, + 6089 + ], + [ + 3198, + 8618 + ], + [ + 4724, + 7085 + ], + [ + 6630, + 8025 + ], + [ + 2169, + 2289 + ], + [ + 2989, + 8444 + ], + [ + 4293, + 10282 + ], + [ + 21, + 7451 + ], + [ + 3257, + 9198 + ], + [ + 2512, + 9044 + ], + [ + 4348, + 8491 + ], + [ + 772, + 2889 + ], + [ + 2353, + 7479 + ], + [ + 3843, + 6289 + ], + [ + 3510, + 10775 + ], + [ + 10760, + 11153 + ], + [ + 1600, + 1765 + ], + [ + 5027, + 7244 + ], + [ + 825, + 9316 + ], + [ + 1906, + 3757 + ], + [ + 3686, + 5524 + ], + [ + 5886, + 6187 + ], + [ + 6908, + 9847 + ], + [ + 8754, + 9982 + ], + [ + 7124, + 7378 + ], + [ + 119, + 10214 + ], + [ + 2180, + 8059 + ], + [ + 5418, + 10633 + ], + [ + 2388, + 8762 + ], + [ + 182, + 8284 + ], + [ + 3351, + 8809 + ], + [ + 5353, + 9457 + ], + [ + 1244, + 7556 + ], + [ + 4904, + 4935 + ], + [ + 3600, + 8732 + ], + [ + 954, + 1566 + ], + [ + 1358, + 5591 + ], + [ + 1111, + 11349 + ], + [ + 5022, + 6095 + ], + [ + 2850, + 10863 + ], + [ + 190, + 1355 + ], + [ + 4735, + 6038 + ], + [ + 514, + 3896 + ], + [ + 2723, + 8809 + ], + [ + 5607, + 5967 + ], + [ + 1744, + 7505 + ], + [ + 2623, + 4441 + ], + [ + 283, + 7181 + ], + [ + 9133, + 11425 + ], + [ + 336, + 4563 + ], + [ + 4888, + 10417 + ], + [ + 160, + 6781 + ], + [ + 5443, + 8195 + ], + [ + 8273, + 11506 + ], + [ + 1580, + 9733 + ], + [ + 10291, + 10435 + ], + [ + 5568, + 7143 + ], + [ + 2453, + 6854 + ], + [ + 7332, + 10659 + ], + [ + 3512, + 8861 + ], + [ + 1105, + 9625 + ], + [ + 3264, + 8759 + ], + [ + 4222, + 4298 + ], + [ + 3850, + 8102 + ], + [ + 6276, + 11552 + ], + [ + 2575, + 11166 + ], + [ + 975, + 8054 + ], + [ + 7805, + 9536 + ], + [ + 3091, + 9770 + ], + [ + 5455, + 11588 + ], + [ + 3750, + 4488 + ], + [ + 4025, + 6413 + ], + [ + 1129, + 5488 + ], + [ + 5239, + 10243 + ], + [ + 1820, + 8789 + ], + [ + 2462, + 5812 + ], + [ + 1009, + 10267 + ], + [ + 3765, + 8933 + ], + [ + 4860, + 10597 + ], + [ + 2747, + 6146 + ], + [ + 2055, + 4872 + ], + [ + 995, + 9056 + ], + [ + 4145, + 5367 + ], + [ + 339, + 7439 + ], + [ + 3140, + 5848 + ], + [ + 1309, + 4493 + ], + [ + 7280, + 10445 + ], + [ + 55, + 11063 + ], + [ + 5619, + 8555 + ], + [ + 361, + 1721 + ], + [ + 11157, + 11242 + ], + [ + 1202, + 2337 + ], + [ + 856, + 1700 + ], + [ + 3044, + 5736 + ], + [ + 329, + 2937 + ], + [ + 2346, + 10309 + ], + [ + 4598, + 5470 + ], + [ + 2442, + 10771 + ], + [ + 2590, + 4253 + ], + [ + 5298, + 6635 + ], + [ + 286, + 3240 + ], + [ + 1256, + 5956 + ], + [ + 4430, + 6825 + ], + [ + 5491, + 9659 + ], + [ + 531, + 2290 + ], + [ + 6981, + 8469 + ], + [ + 8712, + 10374 + ], + [ + 2210, + 8169 + ], + [ + 7065, + 7416 + ], + [ + 10805, + 11140 + ], + [ + 4242, + 10911 + ], + [ + 9717, + 9866 + ], + [ + 4648, + 5183 + ], + [ + 9216, + 11570 + ], + [ + 653, + 5104 + ], + [ + 3238, + 5578 + ], + [ + 7656, + 8234 + ], + [ + 1061, + 5838 + ], + [ + 1085, + 3980 + ], + [ + 747, + 7368 + ], + [ + 2077, + 8929 + ], + [ + 1860, + 10392 + ], + [ + 2980, + 4007 + ], + [ + 1698, + 5900 + ], + [ + 2577, + 2836 + ], + [ + 4843, + 8283 + ], + [ + 7856, + 8295 + ], + [ + 3196, + 8735 + ], + [ + 2035, + 2287 + ], + [ + 2604, + 4659 + ], + [ + 16, + 10303 + ], + [ + 5871, + 8725 + ], + [ + 5926, + 8432 + ], + [ + 3810, + 4464 + ], + [ + 4436, + 7370 + ], + [ + 1944, + 6306 + ], + [ + 1104, + 2128 + ], + [ + 8041, + 10677 + ], + [ + 2002, + 3278 + ], + [ + 7578, + 8701 + ], + [ + 3958, + 6964 + ], + [ + 6287, + 9727 + ], + [ + 6636, + 10635 + ], + [ + 5765, + 11308 + ], + [ + 3208, + 9095 + ], + [ + 1773, + 10746 + ], + [ + 1496, + 5742 + ], + [ + 1329, + 6568 + ], + [ + 9393, + 9903 + ], + [ + 8211, + 8994 + ], + [ + 1891, + 7769 + ], + [ + 2770, + 8869 + ], + [ + 9712, + 11346 + ], + [ + 5660, + 10733 + ], + [ + 3325, + 7401 + ], + [ + 1110, + 11341 + ], + [ + 4971, + 6724 + ], + [ + 1418, + 9242 + ], + [ + 4310, + 7015 + ], + [ + 547, + 5751 + ], + [ + 1981, + 11045 + ], + [ + 7834, + 9394 + ], + [ + 614, + 10356 + ], + [ + 4026, + 10639 + ], + [ + 537, + 2030 + ], + [ + 421, + 10715 + ], + [ + 1317, + 8786 + ], + [ + 1100, + 10249 + ], + [ + 2774, + 5204 + ], + [ + 1416, + 8765 + ], + [ + 2655, + 3792 + ], + [ + 5858, + 9563 + ], + [ + 1806, + 8196 + ], + [ + 32, + 9627 + ], + [ + 1999, + 5558 + ], + [ + 5636, + 7649 + ], + [ + 6405, + 10082 + ], + [ + 7119, + 9425 + ], + [ + 6398, + 8911 + ], + [ + 6525, + 8686 + ], + [ + 2967, + 4444 + ], + [ + 3378, + 8859 + ], + [ + 6456, + 10020 + ], + [ + 5332, + 6083 + ], + [ + 7224, + 8845 + ], + [ + 2783, + 8649 + ], + [ + 715, + 9633 + ], + [ + 5293, + 10292 + ], + [ + 9718, + 9955 + ], + [ + 3803, + 5066 + ], + [ + 7507, + 8379 + ], + [ + 630, + 635 + ], + [ + 1003, + 9511 + ], + [ + 3116, + 8300 + ], + [ + 2801, + 2812 + ], + [ + 1412, + 4054 + ], + [ + 2990, + 4963 + ], + [ + 4330, + 7212 + ], + [ + 876, + 7457 + ], + [ + 2027, + 6801 + ], + [ + 812, + 9916 + ], + [ + 4976, + 5108 + ], + [ + 461, + 8935 + ], + [ + 2323, + 3187 + ], + [ + 765, + 9346 + ], + [ + 4629, + 10662 + ], + [ + 4947, + 10005 + ], + [ + 3111, + 3388 + ], + [ + 5695, + 7424 + ], + [ + 7273, + 9087 + ], + [ + 984, + 7175 + ], + [ + 2510, + 8648 + ], + [ + 6457, + 9467 + ], + [ + 1455, + 6760 + ], + [ + 2720, + 3008 + ], + [ + 2783, + 7494 + ], + [ + 8514, + 10576 + ], + [ + 1487, + 5517 + ], + [ + 9448, + 11383 + ], + [ + 3187, + 5857 + ], + [ + 7581, + 10371 + ], + [ + 3464, + 3691 + ], + [ + 81, + 2648 + ], + [ + 1891, + 3126 + ], + [ + 3157, + 9398 + ], + [ + 1424, + 10830 + ], + [ + 1753, + 9608 + ], + [ + 4367, + 5939 + ], + [ + 9328, + 9746 + ], + [ + 8, + 3109 + ], + [ + 1035, + 7113 + ], + [ + 3218, + 10805 + ], + [ + 1568, + 7576 + ], + [ + 5993, + 7239 + ], + [ + 193, + 6272 + ], + [ + 2911, + 9342 + ], + [ + 4683, + 11248 + ], + [ + 1569, + 4014 + ], + [ + 2529, + 6796 + ], + [ + 793, + 4547 + ], + [ + 1094, + 1277 + ], + [ + 4428, + 9975 + ], + [ + 412, + 11271 + ], + [ + 1382, + 7571 + ], + [ + 6301, + 8523 + ], + [ + 1590, + 8274 + ], + [ + 10516, + 10850 + ], + [ + 6882, + 8276 + ], + [ + 5569, + 7850 + ], + [ + 2300, + 3711 + ], + [ + 211, + 10234 + ], + [ + 7121, + 7538 + ], + [ + 5602, + 7209 + ], + [ + 1741, + 5410 + ], + [ + 2849, + 8090 + ], + [ + 1613, + 10328 + ], + [ + 1924, + 7746 + ], + [ + 931, + 9742 + ], + [ + 861, + 1833 + ], + [ + 5711, + 7152 + ], + [ + 3472, + 10698 + ], + [ + 10631, + 10958 + ], + [ + 5841, + 6444 + ], + [ + 4721, + 6413 + ], + [ + 2386, + 3081 + ], + [ + 1606, + 6124 + ], + [ + 6587, + 7954 + ], + [ + 2915, + 9060 + ], + [ + 47, + 9429 + ], + [ + 3323, + 4159 + ], + [ + 3684, + 11520 + ], + [ + 3940, + 9231 + ], + [ + 3625, + 3743 + ], + [ + 2938, + 6977 + ], + [ + 4999, + 5576 + ], + [ + 8036, + 10146 + ], + [ + 7294, + 9509 + ], + [ + 4558, + 11495 + ], + [ + 4897, + 10961 + ], + [ + 2751, + 10534 + ], + [ + 163, + 9762 + ], + [ + 3981, + 8481 + ], + [ + 10147, + 10737 + ], + [ + 3793, + 8430 + ], + [ + 5854, + 7029 + ], + [ + 1153, + 7468 + ], + [ + 5487, + 5515 + ], + [ + 8284, + 9844 + ], + [ + 3053, + 7839 + ], + [ + 3395, + 10986 + ], + [ + 5009, + 5890 + ], + [ + 1425, + 6843 + ], + [ + 2333, + 8681 + ], + [ + 5664, + 7282 + ], + [ + 1366, + 5482 + ], + [ + 2020, + 4020 + ], + [ + 932, + 6156 + ], + [ + 2203, + 6356 + ], + [ + 5687, + 8205 + ], + [ + 4622, + 7881 + ], + [ + 3670, + 9878 + ], + [ + 1803, + 8866 + ], + [ + 9518, + 11293 + ], + [ + 2696, + 9672 + ], + [ + 8699, + 10998 + ], + [ + 1980, + 3840 + ], + [ + 2417, + 3841 + ], + [ + 5341, + 10951 + ], + [ + 520, + 11288 + ], + [ + 3689, + 4643 + ], + [ + 9752, + 10184 + ], + [ + 10106, + 11436 + ], + [ + 6395, + 10362 + ], + [ + 7448, + 9171 + ], + [ + 5956, + 7282 + ], + [ + 7671, + 10906 + ], + [ + 2747, + 9610 + ], + [ + 1343, + 3404 + ], + [ + 30, + 10148 + ], + [ + 2159, + 5653 + ], + [ + 7531, + 7893 + ], + [ + 5944, + 9150 + ], + [ + 2838, + 5941 + ], + [ + 1315, + 11155 + ], + [ + 2647, + 2963 + ], + [ + 3612, + 5335 + ], + [ + 628, + 7973 + ], + [ + 5382, + 6414 + ], + [ + 4984, + 9751 + ], + [ + 1364, + 11047 + ], + [ + 1180, + 2070 + ], + [ + 4237, + 8770 + ], + [ + 10799, + 11026 + ], + [ + 584, + 7674 + ], + [ + 1962, + 5489 + ], + [ + 7280, + 10876 + ], + [ + 4169, + 7323 + ], + [ + 2331, + 11213 + ], + [ + 824, + 10544 + ], + [ + 579, + 9959 + ], + [ + 457, + 2614 + ], + [ + 3015, + 7681 + ], + [ + 1663, + 8081 + ], + [ + 3909, + 11341 + ], + [ + 7302, + 11574 + ], + [ + 4064, + 6748 + ], + [ + 8323, + 10845 + ], + [ + 6616, + 11246 + ], + [ + 3280, + 5885 + ], + [ + 1442, + 9775 + ], + [ + 3589, + 6640 + ], + [ + 2185, + 6850 + ], + [ + 6390, + 9213 + ], + [ + 597, + 1089 + ], + [ + 7453, + 8710 + ], + [ + 31, + 2398 + ], + [ + 3962, + 5690 + ], + [ + 3429, + 5227 + ], + [ + 8385, + 8690 + ], + [ + 4577, + 9935 + ], + [ + 594, + 11371 + ], + [ + 3085, + 8046 + ], + [ + 2310, + 11433 + ], + [ + 3586, + 9725 + ], + [ + 4670, + 7847 + ], + [ + 9872, + 10585 + ], + [ + 2290, + 7024 + ], + [ + 4297, + 8016 + ], + [ + 3022, + 11080 + ], + [ + 1494, + 3118 + ], + [ + 2017, + 5145 + ], + [ + 2824, + 3925 + ], + [ + 2855, + 5490 + ], + [ + 1514, + 10186 + ], + [ + 3356, + 7169 + ], + [ + 1107, + 5109 + ], + [ + 4407, + 9315 + ], + [ + 6308, + 9157 + ], + [ + 1009, + 2322 + ], + [ + 4400, + 8144 + ], + [ + 3932, + 5824 + ], + [ + 3042, + 8699 + ], + [ + 5735, + 9295 + ], + [ + 1475, + 1563 + ], + [ + 8950, + 10919 + ], + [ + 2315, + 8370 + ], + [ + 660, + 1387 + ], + [ + 8500, + 9178 + ], + [ + 3004, + 9346 + ], + [ + 4114, + 4525 + ], + [ + 8102, + 8351 + ], + [ + 827, + 9606 + ], + [ + 5519, + 11333 + ], + [ + 2472, + 6075 + ], + [ + 6816, + 10502 + ], + [ + 7194, + 9142 + ], + [ + 9, + 3497 + ], + [ + 3742, + 6050 + ], + [ + 934, + 6470 + ], + [ + 960, + 1275 + ], + [ + 2713, + 5383 + ], + [ + 3179, + 4624 + ], + [ + 5656, + 10291 + ], + [ + 1714, + 7564 + ], + [ + 7500, + 9599 + ], + [ + 3269, + 6769 + ], + [ + 5383, + 8412 + ], + [ + 4008, + 7108 + ], + [ + 3982, + 5887 + ], + [ + 44, + 2178 + ], + [ + 5165, + 10404 + ], + [ + 733, + 8816 + ], + [ + 2256, + 3602 + ], + [ + 26, + 4982 + ], + [ + 1980, + 10874 + ], + [ + 490, + 9812 + ], + [ + 5474, + 11159 + ], + [ + 7729, + 11529 + ], + [ + 2409, + 10233 + ], + [ + 4871, + 6924 + ], + [ + 5060, + 9075 + ], + [ + 8726, + 10406 + ], + [ + 9445, + 10093 + ], + [ + 7234, + 8517 + ], + [ + 4550, + 7283 + ], + [ + 5023, + 9947 + ], + [ + 1666, + 2955 + ], + [ + 2595, + 10588 + ], + [ + 410, + 10233 + ], + [ + 40, + 5038 + ], + [ + 1413, + 9679 + ], + [ + 1184, + 3211 + ], + [ + 7546, + 9543 + ], + [ + 2226, + 8247 + ], + [ + 688, + 5259 + ], + [ + 3145, + 3858 + ], + [ + 4930, + 10133 + ], + [ + 8569, + 9641 + ], + [ + 3576, + 10460 + ], + [ + 1652, + 8160 + ], + [ + 217, + 9811 + ], + [ + 5843, + 5929 + ], + [ + 3573, + 9408 + ], + [ + 8934, + 11459 + ], + [ + 3979, + 4434 + ], + [ + 4385, + 5122 + ], + [ + 4223, + 4794 + ], + [ + 3142, + 11107 + ], + [ + 3574, + 6600 + ], + [ + 62, + 2703 + ], + [ + 5242, + 7402 + ], + [ + 3600, + 11204 + ], + [ + 274, + 10695 + ], + [ + 7304, + 8855 + ], + [ + 3839, + 11220 + ], + [ + 4659, + 10959 + ], + [ + 3420, + 9516 + ], + [ + 3682, + 7072 + ], + [ + 1204, + 7596 + ], + [ + 2109, + 5753 + ], + [ + 6651, + 10919 + ], + [ + 3169, + 5733 + ], + [ + 8952, + 9005 + ], + [ + 824, + 1713 + ], + [ + 9037, + 10052 + ], + [ + 565, + 3704 + ], + [ + 3271, + 8669 + ], + [ + 2901, + 3474 + ], + [ + 6333, + 9297 + ], + [ + 447, + 5146 + ], + [ + 6145, + 9246 + ], + [ + 5739, + 8558 + ], + [ + 5916, + 9948 + ], + [ + 4527, + 11190 + ], + [ + 45, + 10993 + ], + [ + 3638, + 7150 + ], + [ + 1525, + 9115 + ], + [ + 910, + 9751 + ], + [ + 4894, + 9671 + ], + [ + 1807, + 11430 + ], + [ + 3015, + 7144 + ], + [ + 2151, + 4824 + ], + [ + 7247, + 11330 + ], + [ + 1904, + 8330 + ], + [ + 488, + 609 + ], + [ + 8299, + 9914 + ], + [ + 8242, + 9380 + ], + [ + 1735, + 6077 + ], + [ + 337, + 10239 + ], + [ + 1796, + 9736 + ], + [ + 1109, + 6554 + ], + [ + 8142, + 9149 + ], + [ + 6392, + 8722 + ], + [ + 1173, + 7478 + ], + [ + 6899, + 10216 + ], + [ + 1732, + 9162 + ], + [ + 3864, + 4995 + ], + [ + 112, + 8027 + ], + [ + 3374, + 4579 + ], + [ + 3160, + 10477 + ], + [ + 412, + 5286 + ], + [ + 5135, + 8578 + ], + [ + 8568, + 10839 + ], + [ + 2670, + 9337 + ], + [ + 471, + 5866 + ], + [ + 2494, + 11555 + ], + [ + 6107, + 9088 + ], + [ + 4677, + 11083 + ], + [ + 190, + 3372 + ], + [ + 5940, + 10668 + ], + [ + 8094, + 8704 + ], + [ + 1764, + 7545 + ], + [ + 6495, + 8446 + ], + [ + 3765, + 8722 + ], + [ + 3830, + 9117 + ], + [ + 3546, + 9358 + ], + [ + 5334, + 5381 + ], + [ + 9139, + 9500 + ], + [ + 4882, + 7701 + ], + [ + 2814, + 8685 + ], + [ + 10909, + 11333 + ], + [ + 114, + 11082 + ], + [ + 4129, + 6151 + ], + [ + 410, + 10851 + ], + [ + 637, + 3660 + ], + [ + 4778, + 9980 + ], + [ + 788, + 10245 + ], + [ + 1936, + 8537 + ], + [ + 3452, + 8568 + ], + [ + 4114, + 7721 + ], + [ + 708, + 10666 + ], + [ + 7070, + 10582 + ], + [ + 721, + 8619 + ], + [ + 1743, + 5863 + ], + [ + 7529, + 8652 + ], + [ + 3921, + 4293 + ], + [ + 2302, + 7547 + ], + [ + 2238, + 5842 + ], + [ + 3733, + 4996 + ], + [ + 1137, + 3609 + ], + [ + 188, + 11539 + ], + [ + 4417, + 5628 + ], + [ + 794, + 5872 + ], + [ + 8858, + 9207 + ], + [ + 8615, + 9449 + ], + [ + 3937, + 5176 + ], + [ + 7987, + 9880 + ], + [ + 726, + 4425 + ], + [ + 406, + 2757 + ], + [ + 6601, + 10669 + ], + [ + 4054, + 9898 + ], + [ + 2247, + 2521 + ], + [ + 1443, + 10832 + ], + [ + 4013, + 6110 + ], + [ + 3584, + 7882 + ], + [ + 1958, + 5801 + ], + [ + 6342, + 9627 + ], + [ + 717, + 7695 + ], + [ + 7532, + 8145 + ], + [ + 438, + 8280 + ], + [ + 3399, + 8102 + ], + [ + 1620, + 9189 + ], + [ + 2552, + 9169 + ], + [ + 1833, + 3820 + ], + [ + 1918, + 9785 + ], + [ + 8168, + 10988 + ], + [ + 269, + 3748 + ], + [ + 4717, + 7744 + ], + [ + 3526, + 9755 + ], + [ + 3151, + 3462 + ], + [ + 296, + 4790 + ], + [ + 907, + 6664 + ], + [ + 6264, + 7061 + ], + [ + 4896, + 6928 + ], + [ + 1291, + 9256 + ], + [ + 9223, + 10220 + ], + [ + 2587, + 4817 + ], + [ + 3645, + 3970 + ], + [ + 6630, + 8350 + ], + [ + 9967, + 10903 + ], + [ + 5519, + 9536 + ], + [ + 3, + 4164 + ], + [ + 4170, + 10207 + ], + [ + 1020, + 1064 + ], + [ + 1812, + 11587 + ], + [ + 4856, + 6748 + ], + [ + 6597, + 9341 + ], + [ + 752, + 5191 + ], + [ + 100, + 1064 + ], + [ + 1965, + 6167 + ], + [ + 6510, + 10850 + ], + [ + 367, + 8763 + ], + [ + 4536, + 8463 + ], + [ + 866, + 3980 + ], + [ + 4912, + 11194 + ], + [ + 9300, + 10975 + ], + [ + 4539, + 4947 + ], + [ + 7455, + 11442 + ], + [ + 2161, + 4951 + ], + [ + 4996, + 6354 + ], + [ + 445, + 10524 + ], + [ + 99, + 3471 + ], + [ + 2124, + 5823 + ], + [ + 1356, + 3211 + ], + [ + 6581, + 7653 + ], + [ + 7668, + 9456 + ], + [ + 4772, + 10783 + ], + [ + 94, + 6510 + ], + [ + 257, + 7440 + ], + [ + 6420, + 10933 + ], + [ + 7913, + 9260 + ], + [ + 1753, + 10202 + ], + [ + 2113, + 4129 + ], + [ + 1309, + 6778 + ], + [ + 4607, + 9403 + ], + [ + 5068, + 10552 + ], + [ + 5536, + 5702 + ], + [ + 2236, + 6414 + ], + [ + 780, + 6434 + ], + [ + 3333, + 11157 + ], + [ + 11203, + 11243 + ], + [ + 4792, + 8402 + ], + [ + 4735, + 7868 + ], + [ + 535, + 6603 + ], + [ + 6469, + 9290 + ], + [ + 6809, + 10112 + ], + [ + 2332, + 10259 + ], + [ + 735, + 5910 + ], + [ + 427, + 5757 + ], + [ + 2980, + 10480 + ], + [ + 3659, + 10768 + ], + [ + 3846, + 6430 + ], + [ + 2507, + 11199 + ], + [ + 2344, + 3853 + ], + [ + 138, + 4873 + ], + [ + 6982, + 10979 + ], + [ + 951, + 1189 + ], + [ + 903, + 7564 + ], + [ + 435, + 5998 + ], + [ + 1250, + 5393 + ], + [ + 4214, + 11148 + ], + [ + 8316, + 9626 + ], + [ + 4039, + 5697 + ], + [ + 6814, + 9301 + ], + [ + 6920, + 10451 + ], + [ + 6349, + 11416 + ], + [ + 303, + 2846 + ], + [ + 7620, + 10862 + ], + [ + 1343, + 4803 + ], + [ + 1701, + 8483 + ], + [ + 7802, + 10344 + ], + [ + 7752, + 10981 + ], + [ + 121, + 6747 + ], + [ + 3445, + 4177 + ], + [ + 838, + 3355 + ], + [ + 1278, + 10043 + ], + [ + 5564, + 10328 + ], + [ + 82, + 10956 + ], + [ + 1761, + 5501 + ], + [ + 6874, + 9702 + ], + [ + 8543, + 10729 + ], + [ + 7144, + 11283 + ], + [ + 8300, + 10971 + ], + [ + 1832, + 7596 + ], + [ + 2316, + 4033 + ], + [ + 707, + 805 + ], + [ + 2233, + 8694 + ], + [ + 8384, + 9918 + ], + [ + 7241, + 8183 + ], + [ + 3473, + 6575 + ], + [ + 7764, + 7958 + ], + [ + 1296, + 10999 + ], + [ + 1409, + 2016 + ], + [ + 5586, + 7993 + ], + [ + 2993, + 6877 + ], + [ + 5794, + 8696 + ], + [ + 7111, + 9241 + ], + [ + 2722, + 5071 + ], + [ + 9129, + 10422 + ], + [ + 4303, + 10415 + ], + [ + 7247, + 8378 + ], + [ + 2589, + 5481 + ], + [ + 774, + 4659 + ], + [ + 6, + 8463 + ], + [ + 431, + 7703 + ], + [ + 6654, + 10493 + ], + [ + 1962, + 2350 + ], + [ + 6597, + 9959 + ], + [ + 6002, + 6366 + ], + [ + 3266, + 4942 + ], + [ + 2581, + 11255 + ], + [ + 2512, + 6954 + ], + [ + 459, + 8970 + ], + [ + 3580, + 3789 + ], + [ + 1049, + 9967 + ], + [ + 2857, + 9618 + ], + [ + 10546, + 11578 + ], + [ + 8799, + 10668 + ], + [ + 1865, + 5800 + ], + [ + 270, + 3032 + ], + [ + 4695, + 6859 + ], + [ + 8590, + 10494 + ], + [ + 1417, + 11302 + ], + [ + 1133, + 11543 + ], + [ + 7139, + 10134 + ], + [ + 6743, + 10134 + ], + [ + 1915, + 2130 + ], + [ + 3465, + 8161 + ], + [ + 5995, + 8928 + ], + [ + 197, + 4624 + ], + [ + 2010, + 9537 + ], + [ + 1695, + 4049 + ], + [ + 6519, + 7393 + ], + [ + 8260, + 9986 + ], + [ + 7854, + 9298 + ], + [ + 3186, + 5713 + ], + [ + 5082, + 5965 + ], + [ + 2804, + 3167 + ], + [ + 374, + 9397 + ], + [ + 1869, + 8551 + ], + [ + 3522, + 9045 + ], + [ + 1681, + 9254 + ], + [ + 5631, + 9590 + ], + [ + 3210, + 7238 + ], + [ + 5202, + 7198 + ], + [ + 5104, + 10827 + ], + [ + 8777, + 9165 + ], + [ + 1124, + 1200 + ], + [ + 7383, + 10063 + ], + [ + 10151, + 10244 + ], + [ + 6164, + 9272 + ], + [ + 3521, + 8793 + ], + [ + 4730, + 11525 + ], + [ + 3543, + 3856 + ], + [ + 10569, + 10942 + ], + [ + 951, + 11256 + ], + [ + 4031, + 6828 + ], + [ + 180, + 5717 + ], + [ + 445, + 538 + ], + [ + 5683, + 9349 + ], + [ + 1197, + 5246 + ], + [ + 2995, + 8373 + ], + [ + 4999, + 6438 + ], + [ + 6950, + 9807 + ], + [ + 6102, + 8020 + ], + [ + 6167, + 9169 + ], + [ + 6235, + 6829 + ], + [ + 1187, + 7941 + ], + [ + 1722, + 5067 + ], + [ + 4826, + 7449 + ], + [ + 5540, + 6038 + ], + [ + 5426, + 9134 + ], + [ + 10087, + 11548 + ], + [ + 6202, + 10853 + ], + [ + 3423, + 10513 + ], + [ + 3340, + 8758 + ], + [ + 1778, + 1966 + ], + [ + 1744, + 5765 + ], + [ + 997, + 11200 + ], + [ + 118, + 7848 + ], + [ + 2549, + 4472 + ], + [ + 613, + 7827 + ], + [ + 9453, + 10629 + ], + [ + 4506, + 7629 + ], + [ + 2455, + 4056 + ], + [ + 3945, + 10036 + ], + [ + 151, + 7207 + ], + [ + 7432, + 9150 + ], + [ + 484, + 8356 + ], + [ + 2855, + 4929 + ], + [ + 394, + 9594 + ], + [ + 3876, + 10616 + ], + [ + 11071, + 11287 + ], + [ + 4925, + 9683 + ], + [ + 3559, + 6967 + ], + [ + 1754, + 2669 + ], + [ + 5281, + 5346 + ], + [ + 8042, + 10018 + ], + [ + 4434, + 6413 + ], + [ + 9065, + 10116 + ], + [ + 3528, + 10283 + ], + [ + 2657, + 5294 + ], + [ + 5514, + 10428 + ], + [ + 6412, + 11578 + ], + [ + 1128, + 5775 + ], + [ + 3031, + 7198 + ], + [ + 1589, + 11088 + ], + [ + 9524, + 11569 + ], + [ + 2772, + 8435 + ], + [ + 6220, + 8375 + ], + [ + 8212, + 8335 + ], + [ + 3914, + 9945 + ], + [ + 4603, + 10921 + ], + [ + 778, + 8779 + ], + [ + 1182, + 9394 + ], + [ + 583, + 1895 + ], + [ + 1450, + 1480 + ], + [ + 2912, + 11074 + ], + [ + 6814, + 9464 + ], + [ + 6498, + 10167 + ], + [ + 6369, + 8067 + ], + [ + 6427, + 11455 + ], + [ + 6680, + 9649 + ], + [ + 944, + 2813 + ], + [ + 5403, + 5470 + ], + [ + 315, + 3019 + ], + [ + 3372, + 9719 + ], + [ + 2752, + 10011 + ], + [ + 471, + 3532 + ], + [ + 780, + 10703 + ], + [ + 6793, + 10465 + ], + [ + 7944, + 9809 + ], + [ + 1786, + 7414 + ], + [ + 1686, + 10216 + ], + [ + 9683, + 11575 + ], + [ + 900, + 2891 + ], + [ + 1746, + 3851 + ], + [ + 5233, + 9381 + ], + [ + 8285, + 9321 + ], + [ + 4913, + 7713 + ], + [ + 63, + 2367 + ], + [ + 302, + 8045 + ], + [ + 1052, + 2881 + ], + [ + 1019, + 6905 + ], + [ + 3949, + 5162 + ], + [ + 4689, + 5726 + ], + [ + 888, + 8142 + ], + [ + 5025, + 9058 + ], + [ + 5147, + 9987 + ], + [ + 10352, + 10744 + ], + [ + 10125, + 11519 + ], + [ + 5519, + 8812 + ], + [ + 2568, + 9678 + ], + [ + 792, + 8030 + ], + [ + 6267, + 6985 + ], + [ + 3994, + 10947 + ], + [ + 3803, + 7969 + ], + [ + 976, + 10591 + ], + [ + 4147, + 7779 + ], + [ + 2777, + 6819 + ], + [ + 1125, + 7681 + ], + [ + 2835, + 4545 + ], + [ + 3237, + 8497 + ], + [ + 1830, + 2774 + ], + [ + 1556, + 10119 + ], + [ + 4272, + 10110 + ], + [ + 2025, + 8877 + ], + [ + 6416, + 7458 + ], + [ + 6815, + 6975 + ], + [ + 3212, + 10130 + ], + [ + 5943, + 10429 + ], + [ + 6965, + 7673 + ], + [ + 409, + 8615 + ], + [ + 6001, + 8155 + ], + [ + 2491, + 5085 + ], + [ + 3293, + 5773 + ], + [ + 110, + 654 + ], + [ + 3756, + 4716 + ], + [ + 4196, + 4988 + ], + [ + 3695, + 6692 + ], + [ + 1417, + 3894 + ], + [ + 4187, + 7154 + ], + [ + 448, + 10448 + ], + [ + 6246, + 8336 + ], + [ + 3937, + 6225 + ], + [ + 5869, + 6134 + ], + [ + 487, + 3960 + ], + [ + 974, + 9740 + ], + [ + 6388, + 10671 + ], + [ + 4526, + 10003 + ], + [ + 4615, + 8540 + ], + [ + 4492, + 7386 + ], + [ + 2057, + 6856 + ], + [ + 7483, + 9302 + ], + [ + 9873, + 10089 + ], + [ + 2930, + 10393 + ], + [ + 3983, + 9202 + ], + [ + 10617, + 10772 + ], + [ + 932, + 9864 + ], + [ + 225, + 1866 + ], + [ + 1995, + 9361 + ], + [ + 7967, + 9122 + ], + [ + 548, + 6491 + ], + [ + 737, + 9396 + ], + [ + 6941, + 7972 + ], + [ + 3698, + 9218 + ], + [ + 4544, + 10178 + ], + [ + 3856, + 4142 + ], + [ + 3381, + 7067 + ], + [ + 215, + 4561 + ], + [ + 4762, + 9317 + ], + [ + 1104, + 1461 + ], + [ + 4761, + 5682 + ], + [ + 6674, + 7069 + ], + [ + 4779, + 10425 + ], + [ + 4908, + 6109 + ], + [ + 1138, + 10090 + ], + [ + 4865, + 5281 + ], + [ + 8022, + 9179 + ], + [ + 7201, + 9215 + ], + [ + 697, + 6183 + ], + [ + 2823, + 9341 + ], + [ + 2071, + 7262 + ], + [ + 2196, + 6210 + ], + [ + 5730, + 7422 + ], + [ + 566, + 4387 + ], + [ + 4950, + 8213 + ], + [ + 6312, + 7777 + ], + [ + 841, + 3279 + ], + [ + 8714, + 9298 + ], + [ + 7805, + 9487 + ], + [ + 1554, + 11065 + ], + [ + 584, + 1933 + ], + [ + 489, + 4325 + ], + [ + 124, + 3638 + ], + [ + 2364, + 3700 + ], + [ + 6125, + 8301 + ], + [ + 9356, + 9704 + ], + [ + 8213, + 8723 + ], + [ + 3196, + 4230 + ], + [ + 1076, + 5024 + ], + [ + 4508, + 10847 + ], + [ + 267, + 3165 + ], + [ + 4585, + 8623 + ], + [ + 509, + 2698 + ], + [ + 8602, + 10935 + ], + [ + 238, + 892 + ], + [ + 1516, + 8679 + ], + [ + 317, + 5911 + ], + [ + 3682, + 4096 + ], + [ + 6080, + 11160 + ], + [ + 4834, + 6294 + ], + [ + 5546, + 10472 + ], + [ + 6924, + 9041 + ], + [ + 8543, + 10705 + ], + [ + 341, + 1020 + ], + [ + 2832, + 4865 + ], + [ + 591, + 10994 + ], + [ + 5112, + 11119 + ], + [ + 532, + 1719 + ], + [ + 5481, + 10427 + ], + [ + 6279, + 7963 + ], + [ + 4808, + 6951 + ], + [ + 4324, + 11268 + ], + [ + 5721, + 6100 + ], + [ + 3345, + 9183 + ], + [ + 139, + 7278 + ], + [ + 7539, + 10633 + ], + [ + 1756, + 7361 + ], + [ + 11057, + 11312 + ], + [ + 1100, + 5744 + ], + [ + 6599, + 9257 + ], + [ + 976, + 3988 + ], + [ + 2875, + 7921 + ], + [ + 5583, + 9549 + ], + [ + 9975, + 10984 + ], + [ + 1374, + 10450 + ], + [ + 130, + 8663 + ], + [ + 7012, + 10335 + ], + [ + 844, + 7252 + ], + [ + 1589, + 5908 + ], + [ + 216, + 1267 + ], + [ + 5885, + 7635 + ], + [ + 7693, + 11450 + ], + [ + 6423, + 10694 + ], + [ + 811, + 9024 + ], + [ + 2467, + 9789 + ], + [ + 3768, + 5694 + ], + [ + 3986, + 7085 + ], + [ + 3617, + 4744 + ], + [ + 28, + 5353 + ], + [ + 1903, + 10390 + ], + [ + 403, + 4476 + ], + [ + 334, + 8843 + ], + [ + 1989, + 3748 + ], + [ + 401, + 7032 + ], + [ + 4909, + 6952 + ], + [ + 4102, + 5166 + ], + [ + 5246, + 9755 + ], + [ + 1512, + 9229 + ], + [ + 803, + 8732 + ], + [ + 2319, + 8763 + ], + [ + 3995, + 6797 + ], + [ + 1918, + 2003 + ], + [ + 7678, + 9987 + ], + [ + 8977, + 11481 + ], + [ + 4190, + 10648 + ], + [ + 5028, + 7583 + ], + [ + 7146, + 10126 + ], + [ + 1731, + 5560 + ], + [ + 795, + 8090 + ], + [ + 361, + 11016 + ], + [ + 2596, + 10734 + ], + [ + 4970, + 6824 + ], + [ + 2374, + 5437 + ], + [ + 4901, + 8939 + ], + [ + 1482, + 8239 + ], + [ + 732, + 6987 + ], + [ + 2256, + 11043 + ], + [ + 565, + 8567 + ], + [ + 2935, + 7167 + ], + [ + 8587, + 10922 + ], + [ + 9712, + 11297 + ], + [ + 7318, + 11522 + ], + [ + 3139, + 3964 + ], + [ + 1155, + 8783 + ], + [ + 3977, + 5063 + ], + [ + 4117, + 11459 + ], + [ + 2405, + 7352 + ], + [ + 4105, + 9944 + ], + [ + 7806, + 8078 + ], + [ + 1742, + 10980 + ], + [ + 1403, + 5098 + ], + [ + 312, + 10723 + ], + [ + 1960, + 10119 + ], + [ + 8111, + 11343 + ], + [ + 962, + 5355 + ], + [ + 6994, + 11583 + ], + [ + 7030, + 11240 + ], + [ + 22, + 10395 + ], + [ + 2601, + 9923 + ], + [ + 182, + 1982 + ], + [ + 3284, + 6947 + ], + [ + 6896, + 11425 + ], + [ + 5647, + 9294 + ], + [ + 6089, + 6229 + ], + [ + 5927, + 11563 + ], + [ + 7921, + 8186 + ], + [ + 4710, + 8189 + ], + [ + 2449, + 7250 + ], + [ + 2504, + 6957 + ], + [ + 228, + 822 + ], + [ + 570, + 4723 + ], + [ + 6017, + 7292 + ], + [ + 7584, + 8766 + ], + [ + 5423, + 7307 + ], + [ + 9010, + 10035 + ], + [ + 1541, + 4631 + ], + [ + 7193, + 8386 + ], + [ + 2523, + 8138 + ], + [ + 105, + 5303 + ], + [ + 3465, + 9560 + ], + [ + 6199, + 10157 + ], + [ + 3489, + 7702 + ], + [ + 4046, + 8559 + ], + [ + 7072, + 7278 + ], + [ + 5661, + 6317 + ], + [ + 6970, + 9253 + ], + [ + 1831, + 3831 + ], + [ + 800, + 9507 + ], + [ + 3828, + 7518 + ], + [ + 8981, + 10394 + ], + [ + 889, + 11427 + ], + [ + 10980, + 11525 + ], + [ + 2950, + 7020 + ], + [ + 8012, + 10532 + ], + [ + 9548, + 9687 + ], + [ + 4037, + 4659 + ], + [ + 515, + 6490 + ], + [ + 427, + 4391 + ], + [ + 5430, + 10706 + ], + [ + 3475, + 9093 + ], + [ + 442, + 1289 + ], + [ + 2664, + 10571 + ], + [ + 1382, + 5294 + ], + [ + 2404, + 2538 + ], + [ + 2343, + 10930 + ], + [ + 5459, + 6159 + ], + [ + 3303, + 6542 + ], + [ + 755, + 2917 + ], + [ + 1942, + 4170 + ], + [ + 1434, + 8867 + ], + [ + 1432, + 8794 + ], + [ + 1463, + 8107 + ], + [ + 1058, + 10273 + ], + [ + 6258, + 9932 + ], + [ + 8216, + 11062 + ], + [ + 2588, + 5449 + ], + [ + 2180, + 9596 + ], + [ + 2356, + 5880 + ], + [ + 9706, + 9872 + ], + [ + 4859, + 10486 + ], + [ + 5203, + 11050 + ], + [ + 5506, + 8607 + ], + [ + 8961, + 11216 + ], + [ + 5687, + 10116 + ], + [ + 830, + 3626 + ], + [ + 4109, + 9207 + ], + [ + 3319, + 10808 + ], + [ + 4100, + 11373 + ], + [ + 146, + 7131 + ], + [ + 5056, + 10249 + ], + [ + 4683, + 8166 + ], + [ + 550, + 8123 + ], + [ + 2123, + 2272 + ], + [ + 3786, + 9870 + ], + [ + 9445, + 11386 + ], + [ + 4557, + 9747 + ], + [ + 7351, + 11149 + ], + [ + 8130, + 10133 + ], + [ + 9007, + 11160 + ], + [ + 9377, + 9939 + ], + [ + 7723, + 9974 + ], + [ + 446, + 3986 + ], + [ + 5948, + 11180 + ], + [ + 5139, + 9321 + ], + [ + 373, + 8611 + ], + [ + 3852, + 10116 + ], + [ + 4583, + 11318 + ], + [ + 4614, + 6467 + ], + [ + 1051, + 1881 + ], + [ + 777, + 2810 + ], + [ + 1800, + 9324 + ], + [ + 155, + 6439 + ], + [ + 1058, + 6435 + ], + [ + 841, + 7898 + ], + [ + 6712, + 6853 + ], + [ + 2696, + 7395 + ], + [ + 7002, + 9810 + ], + [ + 8127, + 10185 + ], + [ + 894, + 6778 + ], + [ + 581, + 2117 + ], + [ + 7275, + 10908 + ], + [ + 140, + 8790 + ], + [ + 1462, + 9679 + ], + [ + 6247, + 7433 + ], + [ + 3220, + 9243 + ], + [ + 3989, + 6041 + ], + [ + 5181, + 7638 + ], + [ + 6743, + 8768 + ], + [ + 1452, + 5958 + ], + [ + 7083, + 11088 + ], + [ + 511, + 1728 + ], + [ + 4022, + 7652 + ], + [ + 1291, + 4320 + ], + [ + 4615, + 8166 + ], + [ + 8947, + 9550 + ], + [ + 480, + 5798 + ], + [ + 2436, + 3095 + ], + [ + 2274, + 11435 + ], + [ + 970, + 2427 + ], + [ + 2936, + 10588 + ], + [ + 1969, + 10799 + ], + [ + 6379, + 9430 + ], + [ + 3144, + 10537 + ], + [ + 1057, + 7307 + ], + [ + 1690, + 4968 + ], + [ + 2795, + 3967 + ], + [ + 2048, + 2986 + ], + [ + 7350, + 9338 + ], + [ + 2923, + 8848 + ], + [ + 1402, + 8473 + ], + [ + 3580, + 11067 + ], + [ + 10297, + 10982 + ], + [ + 3984, + 5266 + ], + [ + 2828, + 3326 + ], + [ + 7156, + 9472 + ], + [ + 2507, + 3685 + ], + [ + 2732, + 6247 + ], + [ + 4628, + 6499 + ], + [ + 951, + 6507 + ], + [ + 5849, + 6582 + ], + [ + 4655, + 10574 + ], + [ + 3225, + 10317 + ], + [ + 3999, + 8957 + ], + [ + 5160, + 9743 + ], + [ + 4043, + 9229 + ], + [ + 1011, + 10695 + ], + [ + 4318, + 4738 + ], + [ + 7021, + 10186 + ], + [ + 3590, + 7971 + ], + [ + 2571, + 7992 + ], + [ + 6420, + 9030 + ], + [ + 7508, + 9523 + ], + [ + 443, + 8144 + ], + [ + 3550, + 7791 + ], + [ + 7569, + 10930 + ], + [ + 4740, + 6309 + ], + [ + 9900, + 10356 + ], + [ + 3962, + 10179 + ], + [ + 6192, + 8799 + ], + [ + 9276, + 10906 + ], + [ + 6072, + 7916 + ], + [ + 11237, + 11553 + ], + [ + 1249, + 6672 + ], + [ + 4351, + 5975 + ], + [ + 1794, + 3762 + ], + [ + 5782, + 7588 + ], + [ + 5224, + 9512 + ], + [ + 952, + 5927 + ], + [ + 3608, + 11529 + ], + [ + 2082, + 4394 + ], + [ + 4933, + 6330 + ], + [ + 3138, + 6884 + ], + [ + 9522, + 10531 + ], + [ + 1291, + 2360 + ], + [ + 5716, + 6187 + ], + [ + 1829, + 9583 + ], + [ + 454, + 9033 + ], + [ + 1414, + 11061 + ], + [ + 3680, + 10092 + ], + [ + 3344, + 10143 + ], + [ + 2726, + 11262 + ], + [ + 9753, + 9905 + ], + [ + 4216, + 10072 + ], + [ + 911, + 6276 + ], + [ + 3741, + 6581 + ], + [ + 2345, + 11570 + ], + [ + 1745, + 3469 + ], + [ + 5953, + 8759 + ], + [ + 2811, + 6647 + ], + [ + 5196, + 7090 + ], + [ + 5134, + 6212 + ], + [ + 2071, + 6083 + ], + [ + 1974, + 6150 + ], + [ + 6814, + 10781 + ], + [ + 7004, + 7872 + ], + [ + 813, + 9501 + ], + [ + 4080, + 7151 + ], + [ + 2151, + 4507 + ], + [ + 1466, + 4404 + ], + [ + 3262, + 6704 + ], + [ + 7778, + 10649 + ], + [ + 7308, + 7502 + ], + [ + 374, + 9804 + ], + [ + 3129, + 4862 + ], + [ + 2480, + 6668 + ], + [ + 4668, + 10704 + ], + [ + 5599, + 7830 + ], + [ + 4842, + 5407 + ], + [ + 1910, + 4071 + ], + [ + 2104, + 7320 + ], + [ + 84, + 5312 + ], + [ + 4993, + 5576 + ], + [ + 1419, + 7217 + ], + [ + 8860, + 11327 + ], + [ + 2698, + 11442 + ], + [ + 5644, + 10232 + ], + [ + 9883, + 11425 + ], + [ + 9255, + 11102 + ], + [ + 633, + 3275 + ], + [ + 1567, + 11252 + ], + [ + 9536, + 10563 + ], + [ + 1062, + 9050 + ], + [ + 2720, + 9888 + ], + [ + 1994, + 9784 + ], + [ + 5486, + 9242 + ], + [ + 8791, + 9628 + ], + [ + 5135, + 8261 + ], + [ + 1279, + 10970 + ], + [ + 200, + 6776 + ], + [ + 400, + 3454 + ], + [ + 1561, + 3486 + ], + [ + 4298, + 8518 + ], + [ + 3587, + 8692 + ], + [ + 1655, + 7285 + ], + [ + 803, + 8008 + ], + [ + 5944, + 7841 + ], + [ + 4416, + 5541 + ], + [ + 4168, + 8445 + ], + [ + 8647, + 9125 + ], + [ + 4476, + 6346 + ], + [ + 6716, + 9818 + ], + [ + 1645, + 11478 + ], + [ + 2679, + 10237 + ], + [ + 150, + 5908 + ], + [ + 905, + 5252 + ], + [ + 9989, + 10666 + ], + [ + 528, + 3050 + ], + [ + 6159, + 8180 + ], + [ + 2353, + 10252 + ], + [ + 460, + 3855 + ], + [ + 7147, + 9223 + ], + [ + 8774, + 10748 + ], + [ + 2635, + 6151 + ], + [ + 455, + 6894 + ], + [ + 6893, + 11558 + ], + [ + 6580, + 6897 + ], + [ + 7772, + 8494 + ], + [ + 1193, + 4379 + ], + [ + 1998, + 9502 + ], + [ + 1848, + 5771 + ], + [ + 874, + 5565 + ], + [ + 6641, + 8304 + ], + [ + 7606, + 10676 + ], + [ + 5400, + 6034 + ], + [ + 5230, + 7343 + ], + [ + 5949, + 7030 + ], + [ + 68, + 7387 + ], + [ + 3583, + 10801 + ], + [ + 1752, + 3030 + ], + [ + 2443, + 6331 + ], + [ + 4981, + 10022 + ], + [ + 4329, + 5895 + ], + [ + 3551, + 9011 + ], + [ + 3236, + 3523 + ], + [ + 6004, + 10120 + ], + [ + 963, + 1823 + ], + [ + 2368, + 10883 + ], + [ + 1186, + 9974 + ], + [ + 307, + 6622 + ], + [ + 1179, + 6551 + ], + [ + 9709, + 10625 + ], + [ + 6934, + 7775 + ], + [ + 6125, + 11578 + ], + [ + 2636, + 2969 + ], + [ + 1488, + 7306 + ], + [ + 5569, + 7159 + ], + [ + 2895, + 4361 + ], + [ + 7622, + 8526 + ], + [ + 10385, + 10615 + ], + [ + 684, + 9174 + ], + [ + 2169, + 7640 + ], + [ + 496, + 9123 + ], + [ + 4290, + 9700 + ], + [ + 1728, + 10149 + ], + [ + 6802, + 8006 + ], + [ + 3091, + 6932 + ], + [ + 9136, + 11113 + ], + [ + 4186, + 8596 + ], + [ + 5123, + 9674 + ], + [ + 6582, + 9171 + ], + [ + 9758, + 10867 + ], + [ + 949, + 962 + ], + [ + 10898, + 11550 + ], + [ + 9258, + 9763 + ], + [ + 791, + 3005 + ], + [ + 3530, + 3946 + ], + [ + 8220, + 11262 + ], + [ + 5611, + 9613 + ], + [ + 470, + 3364 + ], + [ + 1003, + 10243 + ], + [ + 4386, + 5624 + ], + [ + 8587, + 9743 + ], + [ + 1863, + 5247 + ], + [ + 1305, + 10581 + ], + [ + 1582, + 9169 + ], + [ + 771, + 3477 + ], + [ + 86, + 3374 + ], + [ + 583, + 4180 + ], + [ + 3790, + 7441 + ], + [ + 7461, + 9116 + ], + [ + 1153, + 10160 + ], + [ + 685, + 7840 + ], + [ + 2793, + 5531 + ], + [ + 3161, + 10653 + ], + [ + 186, + 10371 + ], + [ + 21, + 2198 + ], + [ + 4193, + 7831 + ], + [ + 6593, + 10060 + ], + [ + 9077, + 9728 + ], + [ + 10298, + 10565 + ], + [ + 4412, + 10578 + ], + [ + 5315, + 5656 + ], + [ + 2044, + 11270 + ], + [ + 7020, + 8592 + ], + [ + 3286, + 5814 + ], + [ + 4896, + 9644 + ], + [ + 7079, + 9172 + ], + [ + 8231, + 11370 + ], + [ + 2428, + 6722 + ], + [ + 7696, + 7828 + ], + [ + 6481, + 10943 + ], + [ + 2093, + 8129 + ], + [ + 7483, + 10164 + ], + [ + 8032, + 11160 + ], + [ + 2022, + 9417 + ], + [ + 5423, + 9511 + ], + [ + 748, + 11171 + ], + [ + 10555, + 10756 + ], + [ + 3203, + 5937 + ], + [ + 1866, + 8123 + ], + [ + 1528, + 11511 + ], + [ + 2175, + 8878 + ], + [ + 7691, + 7834 + ], + [ + 1244, + 5336 + ], + [ + 5946, + 7751 + ], + [ + 8809, + 11202 + ], + [ + 3475, + 7564 + ], + [ + 8156, + 9102 + ], + [ + 10166, + 10422 + ], + [ + 6096, + 8449 + ], + [ + 2691, + 10865 + ], + [ + 8551, + 9631 + ], + [ + 924, + 7051 + ], + [ + 6237, + 7176 + ], + [ + 2952, + 8920 + ], + [ + 7307, + 7844 + ], + [ + 10949, + 11033 + ], + [ + 9767, + 10124 + ], + [ + 7355, + 10544 + ], + [ + 3465, + 3843 + ], + [ + 2573, + 5891 + ], + [ + 3815, + 5353 + ], + [ + 1167, + 3776 + ], + [ + 8479, + 11448 + ], + [ + 3190, + 5301 + ], + [ + 2341, + 9705 + ], + [ + 2134, + 6194 + ], + [ + 251, + 6177 + ], + [ + 4867, + 7320 + ], + [ + 7754, + 11165 + ], + [ + 9629, + 9786 + ], + [ + 899, + 11316 + ], + [ + 8249, + 8892 + ], + [ + 30, + 2236 + ], + [ + 2891, + 4860 + ], + [ + 88, + 1460 + ], + [ + 9839, + 10535 + ], + [ + 1245, + 4756 + ], + [ + 2766, + 9295 + ], + [ + 2391, + 3002 + ], + [ + 4071, + 8325 + ], + [ + 3663, + 6056 + ], + [ + 6970, + 10652 + ], + [ + 6836, + 7454 + ], + [ + 1177, + 6692 + ], + [ + 3532, + 4260 + ], + [ + 913, + 1169 + ], + [ + 6826, + 10149 + ], + [ + 2251, + 2591 + ], + [ + 1597, + 1801 + ], + [ + 132, + 11157 + ], + [ + 3210, + 11564 + ], + [ + 5858, + 6725 + ], + [ + 5889, + 6038 + ], + [ + 127, + 4397 + ], + [ + 8934, + 11223 + ], + [ + 5818, + 7326 + ], + [ + 3149, + 7124 + ], + [ + 379, + 4618 + ], + [ + 5852, + 6910 + ], + [ + 3240, + 7242 + ], + [ + 4261, + 10677 + ], + [ + 3139, + 3403 + ], + [ + 2951, + 10522 + ], + [ + 2431, + 8012 + ], + [ + 6249, + 6731 + ], + [ + 337, + 1359 + ], + [ + 2239, + 11225 + ], + [ + 4758, + 8450 + ], + [ + 2705, + 10466 + ], + [ + 5198, + 8722 + ], + [ + 3885, + 8296 + ], + [ + 5225, + 10545 + ], + [ + 1137, + 9521 + ], + [ + 2642, + 9363 + ], + [ + 7863, + 10653 + ], + [ + 8792, + 11116 + ], + [ + 237, + 10927 + ], + [ + 1691, + 3664 + ], + [ + 3931, + 7890 + ], + [ + 753, + 9531 + ], + [ + 2532, + 8444 + ], + [ + 3526, + 3640 + ], + [ + 2440, + 8855 + ], + [ + 4336, + 9107 + ], + [ + 3462, + 8351 + ], + [ + 757, + 3988 + ], + [ + 2873, + 7956 + ], + [ + 5878, + 7326 + ], + [ + 4516, + 4729 + ], + [ + 2736, + 5591 + ], + [ + 4790, + 8681 + ], + [ + 624, + 10410 + ], + [ + 7057, + 10566 + ], + [ + 2824, + 11073 + ], + [ + 1174, + 4434 + ], + [ + 1676, + 9748 + ], + [ + 1977, + 6478 + ], + [ + 6813, + 11337 + ], + [ + 3907, + 5560 + ], + [ + 4399, + 5268 + ], + [ + 3447, + 7265 + ], + [ + 856, + 2058 + ], + [ + 6611, + 9698 + ], + [ + 1226, + 1591 + ], + [ + 1232, + 11205 + ], + [ + 3443, + 10529 + ], + [ + 1542, + 3517 + ], + [ + 1411, + 7006 + ], + [ + 2443, + 10600 + ], + [ + 7393, + 10865 + ], + [ + 2314, + 8500 + ], + [ + 11094, + 11251 + ], + [ + 4179, + 6433 + ], + [ + 6073, + 10022 + ], + [ + 68, + 8623 + ], + [ + 2963, + 10077 + ], + [ + 4675, + 7768 + ], + [ + 1621, + 4749 + ], + [ + 5182, + 9262 + ], + [ + 4791, + 8882 + ], + [ + 1685, + 5673 + ], + [ + 434, + 9131 + ], + [ + 8689, + 9028 + ], + [ + 9429, + 9592 + ], + [ + 736, + 801 + ], + [ + 5130, + 5315 + ], + [ + 7435, + 9936 + ], + [ + 1896, + 9276 + ], + [ + 5284, + 9165 + ], + [ + 1426, + 4631 + ], + [ + 1671, + 3681 + ], + [ + 8682, + 8961 + ], + [ + 3844, + 6685 + ], + [ + 4192, + 7368 + ], + [ + 517, + 1787 + ], + [ + 1940, + 5791 + ], + [ + 6425, + 10423 + ], + [ + 5031, + 11321 + ], + [ + 2188, + 2860 + ], + [ + 3495, + 9133 + ], + [ + 564, + 4235 + ], + [ + 6885, + 8314 + ], + [ + 8569, + 10373 + ], + [ + 868, + 4646 + ], + [ + 9457, + 10835 + ], + [ + 439, + 8670 + ], + [ + 7010, + 7262 + ], + [ + 9714, + 11400 + ], + [ + 3455, + 6701 + ], + [ + 2990, + 10314 + ], + [ + 306, + 412 + ], + [ + 4015, + 11239 + ], + [ + 6286, + 10614 + ], + [ + 8990, + 9090 + ], + [ + 5217, + 7138 + ], + [ + 4666, + 9479 + ], + [ + 7807, + 7956 + ], + [ + 6332, + 9454 + ], + [ + 1165, + 4990 + ], + [ + 9446, + 9491 + ], + [ + 5857, + 10100 + ], + [ + 6920, + 9597 + ], + [ + 1034, + 3194 + ], + [ + 10583, + 10657 + ], + [ + 1694, + 11346 + ], + [ + 445, + 9215 + ], + [ + 228, + 4262 + ], + [ + 5978, + 11558 + ], + [ + 3330, + 9981 + ], + [ + 8075, + 9060 + ], + [ + 1525, + 9847 + ], + [ + 1913, + 9929 + ], + [ + 1029, + 5479 + ], + [ + 1557, + 7850 + ], + [ + 3699, + 5125 + ], + [ + 2303, + 9360 + ], + [ + 808, + 3790 + ], + [ + 618, + 10082 + ], + [ + 404, + 9564 + ], + [ + 5903, + 5907 + ], + [ + 3814, + 6014 + ], + [ + 6563, + 8397 + ], + [ + 7184, + 10959 + ], + [ + 1422, + 2148 + ], + [ + 5351, + 8777 + ], + [ + 492, + 2214 + ], + [ + 5065, + 8191 + ], + [ + 6653, + 10542 + ], + [ + 7520, + 10127 + ], + [ + 4058, + 5593 + ], + [ + 978, + 8523 + ], + [ + 802, + 6577 + ], + [ + 5065, + 5158 + ], + [ + 320, + 6079 + ], + [ + 4815, + 11399 + ], + [ + 1295, + 3477 + ], + [ + 4304, + 5999 + ], + [ + 8443, + 9994 + ], + [ + 5862, + 9639 + ], + [ + 4468, + 10537 + ], + [ + 7348, + 10959 + ], + [ + 192, + 10216 + ], + [ + 724, + 1409 + ], + [ + 2561, + 10126 + ], + [ + 7786, + 8152 + ], + [ + 4730, + 11476 + ], + [ + 6166, + 7017 + ], + [ + 1224, + 11531 + ], + [ + 4385, + 7277 + ], + [ + 7556, + 8629 + ], + [ + 4756, + 9664 + ], + [ + 4453, + 9855 + ], + [ + 9370, + 9980 + ], + [ + 3701, + 8530 + ], + [ + 6710, + 6888 + ], + [ + 7346, + 10482 + ], + [ + 3115, + 7652 + ], + [ + 10450, + 10612 + ], + [ + 2762, + 10008 + ], + [ + 3877, + 9695 + ], + [ + 3639, + 10281 + ], + [ + 3906, + 8181 + ], + [ + 4248, + 11328 + ], + [ + 4191, + 10794 + ], + [ + 609, + 1994 + ], + [ + 4817, + 8038 + ], + [ + 2938, + 11173 + ], + [ + 9538, + 10503 + ], + [ + 5648, + 7966 + ], + [ + 9443, + 11397 + ], + [ + 1912, + 4361 + ], + [ + 5952, + 8377 + ], + [ + 1509, + 7354 + ], + [ + 953, + 9351 + ], + [ + 7290, + 9799 + ], + [ + 3788, + 6590 + ], + [ + 7912, + 8799 + ], + [ + 5978, + 6565 + ], + [ + 781, + 3390 + ], + [ + 2936, + 5034 + ], + [ + 4298, + 8762 + ], + [ + 937, + 11450 + ], + [ + 189, + 445 + ], + [ + 1209, + 2524 + ], + [ + 3392, + 6216 + ], + [ + 7368, + 8527 + ], + [ + 3043, + 5281 + ], + [ + 2767, + 9547 + ], + [ + 1322, + 9756 + ], + [ + 2884, + 4470 + ], + [ + 4090, + 9937 + ], + [ + 1074, + 3238 + ], + [ + 4346, + 7648 + ], + [ + 7026, + 11392 + ], + [ + 5653, + 7505 + ], + [ + 6181, + 9876 + ], + [ + 3815, + 11395 + ], + [ + 1038, + 6964 + ], + [ + 9, + 2887 + ], + [ + 4406, + 11082 + ], + [ + 1220, + 2282 + ], + [ + 4554, + 5318 + ], + [ + 409, + 10176 + ], + [ + 6923, + 7480 + ], + [ + 5512, + 6519 + ], + [ + 4460, + 4902 + ], + [ + 2712, + 5302 + ], + [ + 2435, + 2550 + ], + [ + 408, + 3535 + ], + [ + 1686, + 11322 + ], + [ + 5353, + 5708 + ], + [ + 9686, + 9946 + ], + [ + 7850, + 10499 + ], + [ + 1217, + 9531 + ], + [ + 3548, + 8957 + ], + [ + 1860, + 9408 + ], + [ + 3862, + 10810 + ], + [ + 5887, + 5992 + ], + [ + 6071, + 8553 + ], + [ + 2771, + 2849 + ], + [ + 2050, + 2335 + ], + [ + 4980, + 7762 + ], + [ + 1833, + 4552 + ], + [ + 7440, + 9288 + ], + [ + 8185, + 10196 + ], + [ + 1432, + 10624 + ], + [ + 6096, + 10303 + ], + [ + 3689, + 11067 + ], + [ + 516, + 7390 + ], + [ + 7460, + 10694 + ], + [ + 2355, + 6354 + ], + [ + 7515, + 10401 + ], + [ + 3757, + 9481 + ], + [ + 2415, + 11323 + ], + [ + 6797, + 7906 + ], + [ + 5554, + 8973 + ], + [ + 9261, + 10305 + ], + [ + 8292, + 10443 + ], + [ + 603, + 6985 + ], + [ + 1015, + 10871 + ], + [ + 3341, + 10707 + ], + [ + 786, + 9321 + ], + [ + 2219, + 7597 + ], + [ + 10054, + 10880 + ], + [ + 5327, + 10098 + ], + [ + 687, + 2145 + ], + [ + 3675, + 6796 + ], + [ + 4480, + 11165 + ], + [ + 8470, + 9402 + ], + [ + 1089, + 6097 + ], + [ + 1797, + 11287 + ], + [ + 2464, + 3614 + ], + [ + 9427, + 11132 + ], + [ + 9810, + 10870 + ], + [ + 2849, + 9871 + ], + [ + 5168, + 6254 + ], + [ + 743, + 2427 + ], + [ + 4815, + 10862 + ], + [ + 9987, + 10008 + ], + [ + 235, + 7124 + ], + [ + 10697, + 11107 + ], + [ + 10296, + 10763 + ], + [ + 1896, + 7479 + ], + [ + 6775, + 9032 + ], + [ + 3444, + 4015 + ], + [ + 3347, + 10498 + ], + [ + 7452, + 8493 + ], + [ + 3844, + 4888 + ], + [ + 1574, + 9121 + ], + [ + 8847, + 10449 + ], + [ + 6199, + 8872 + ], + [ + 4122, + 6330 + ], + [ + 6898, + 10536 + ], + [ + 4400, + 6274 + ], + [ + 2784, + 8291 + ], + [ + 2371, + 6432 + ], + [ + 137, + 10322 + ], + [ + 6818, + 8328 + ], + [ + 6857, + 7502 + ], + [ + 90, + 9752 + ], + [ + 1463, + 7977 + ], + [ + 4820, + 7799 + ], + [ + 4444, + 8451 + ], + [ + 3389, + 9569 + ], + [ + 3239, + 5838 + ], + [ + 4020, + 6403 + ], + [ + 3731, + 6300 + ], + [ + 5657, + 7892 + ], + [ + 8062, + 10465 + ], + [ + 2565, + 2891 + ], + [ + 6067, + 9453 + ], + [ + 4978, + 5325 + ], + [ + 4713, + 9780 + ], + [ + 4246, + 4652 + ], + [ + 9488, + 10953 + ], + [ + 319, + 8649 + ], + [ + 422, + 5364 + ], + [ + 1379, + 1459 + ], + [ + 9979, + 11190 + ], + [ + 201, + 10091 + ], + [ + 9258, + 11430 + ], + [ + 814, + 2212 + ], + [ + 2726, + 10514 + ], + [ + 5510, + 10474 + ], + [ + 4863, + 6691 + ], + [ + 1840, + 5991 + ], + [ + 2719, + 2927 + ], + [ + 5109, + 10130 + ], + [ + 1599, + 2896 + ], + [ + 637, + 10621 + ], + [ + 5664, + 7908 + ], + [ + 1068, + 6643 + ], + [ + 7343, + 9623 + ], + [ + 6730, + 11086 + ], + [ + 2515, + 8789 + ], + [ + 4200, + 7286 + ], + [ + 1713, + 10730 + ], + [ + 906, + 4780 + ], + [ + 4918, + 6748 + ], + [ + 7657, + 8443 + ], + [ + 2232, + 2435 + ], + [ + 2229, + 8553 + ], + [ + 6335, + 10156 + ], + [ + 5619, + 7734 + ], + [ + 3413, + 7256 + ], + [ + 5467, + 10346 + ], + [ + 3879, + 8749 + ], + [ + 512, + 7485 + ], + [ + 4471, + 6409 + ], + [ + 9295, + 9753 + ], + [ + 4190, + 10331 + ], + [ + 2494, + 6757 + ], + [ + 6652, + 8520 + ], + [ + 2313, + 4467 + ], + [ + 1729, + 10832 + ], + [ + 359, + 10626 + ], + [ + 44, + 2886 + ], + [ + 1349, + 8332 + ], + [ + 7657, + 10671 + ], + [ + 394, + 8553 + ], + [ + 7940, + 10205 + ], + [ + 672, + 4333 + ], + [ + 3910, + 6907 + ], + [ + 2320, + 3729 + ], + [ + 4200, + 9864 + ], + [ + 776, + 2404 + ], + [ + 1882, + 4257 + ], + [ + 2408, + 3549 + ], + [ + 3846, + 8585 + ], + [ + 5783, + 8838 + ], + [ + 1294, + 6716 + ], + [ + 1067, + 7491 + ], + [ + 206, + 9606 + ], + [ + 4380, + 5486 + ], + [ + 4065, + 4162 + ], + [ + 321, + 2948 + ], + [ + 966, + 4406 + ], + [ + 6392, + 6852 + ], + [ + 258, + 2599 + ], + [ + 5416, + 5819 + ], + [ + 9367, + 9763 + ], + [ + 292, + 11228 + ], + [ + 5227, + 6297 + ], + [ + 727, + 11156 + ], + [ + 244, + 7804 + ], + [ + 4972, + 5024 + ], + [ + 3831, + 4116 + ], + [ + 5387, + 6929 + ], + [ + 9831, + 11560 + ], + [ + 339, + 1625 + ], + [ + 5882, + 11072 + ], + [ + 4139, + 7652 + ], + [ + 3540, + 7323 + ], + [ + 1487, + 2923 + ], + [ + 4195, + 8715 + ], + [ + 1203, + 3164 + ], + [ + 4348, + 9711 + ], + [ + 6084, + 7796 + ], + [ + 1227, + 1306 + ], + [ + 3595, + 10413 + ], + [ + 4493, + 11563 + ], + [ + 598, + 1512 + ], + [ + 1134, + 2246 + ], + [ + 8227, + 10554 + ], + [ + 1560, + 10756 + ], + [ + 10159, + 10463 + ], + [ + 1281, + 4925 + ], + [ + 2065, + 9171 + ], + [ + 310, + 8400 + ], + [ + 2463, + 9217 + ], + [ + 6816, + 11478 + ], + [ + 3803, + 11466 + ], + [ + 1334, + 11352 + ], + [ + 2774, + 10799 + ], + [ + 5534, + 6201 + ], + [ + 1160, + 3817 + ], + [ + 413, + 8498 + ], + [ + 1468, + 8134 + ], + [ + 8037, + 11561 + ], + [ + 2279, + 10039 + ], + [ + 2768, + 6820 + ], + [ + 372, + 5464 + ], + [ + 430, + 9606 + ], + [ + 6285, + 8028 + ], + [ + 2352, + 8073 + ], + [ + 5992, + 10435 + ], + [ + 448, + 7179 + ], + [ + 1478, + 4284 + ], + [ + 1543, + 8843 + ], + [ + 4891, + 5169 + ], + [ + 2481, + 6359 + ], + [ + 446, + 3319 + ], + [ + 6729, + 11078 + ], + [ + 6773, + 11350 + ], + [ + 1002, + 11121 + ], + [ + 1193, + 2021 + ], + [ + 6917, + 7342 + ], + [ + 449, + 11137 + ], + [ + 33, + 4843 + ], + [ + 4365, + 6227 + ], + [ + 1906, + 7555 + ], + [ + 1116, + 9156 + ], + [ + 679, + 2739 + ], + [ + 7256, + 10191 + ], + [ + 1709, + 4008 + ], + [ + 5506, + 10518 + ], + [ + 678, + 2514 + ], + [ + 2047, + 3249 + ], + [ + 1179, + 10609 + ], + [ + 2232, + 8664 + ], + [ + 4465, + 5303 + ], + [ + 4163, + 11354 + ], + [ + 2257, + 3998 + ], + [ + 7771, + 8543 + ], + [ + 395, + 3330 + ], + [ + 4293, + 9892 + ], + [ + 7638, + 8953 + ], + [ + 9824, + 9910 + ], + [ + 6646, + 11551 + ], + [ + 11274, + 11573 + ], + [ + 823, + 4716 + ], + [ + 2248, + 3131 + ], + [ + 3180, + 3865 + ], + [ + 2128, + 7910 + ], + [ + 3053, + 7473 + ], + [ + 8414, + 8770 + ], + [ + 33, + 4038 + ], + [ + 6041, + 9118 + ], + [ + 4425, + 5473 + ], + [ + 7405, + 9509 + ], + [ + 5729, + 8065 + ], + [ + 4516, + 5591 + ], + [ + 3707, + 9394 + ], + [ + 5075, + 7275 + ], + [ + 6795, + 11243 + ], + [ + 1551, + 8279 + ], + [ + 6189, + 8989 + ], + [ + 4642, + 7393 + ], + [ + 5356, + 5982 + ], + [ + 7118, + 9452 + ], + [ + 2610, + 3870 + ], + [ + 2019, + 6812 + ], + [ + 7683, + 8672 + ], + [ + 5255, + 9313 + ], + [ + 3133, + 7028 + ], + [ + 2670, + 5052 + ], + [ + 7835, + 9443 + ], + [ + 10142, + 10727 + ], + [ + 1582, + 10194 + ], + [ + 2384, + 4466 + ], + [ + 3077, + 9348 + ], + [ + 297, + 1236 + ], + [ + 10298, + 11240 + ], + [ + 8731, + 9766 + ], + [ + 4429, + 8224 + ], + [ + 6703, + 7116 + ], + [ + 6137, + 8425 + ], + [ + 3437, + 6658 + ], + [ + 5114, + 5294 + ], + [ + 8159, + 10479 + ], + [ + 1034, + 9049 + ], + [ + 3797, + 8132 + ], + [ + 199, + 5215 + ], + [ + 8077, + 11578 + ], + [ + 3647, + 5155 + ], + [ + 340, + 11112 + ], + [ + 1907, + 5416 + ], + [ + 1217, + 4969 + ], + [ + 10704, + 11554 + ], + [ + 2366, + 3486 + ], + [ + 60, + 5056 + ], + [ + 163, + 2525 + ], + [ + 2768, + 7438 + ], + [ + 1750, + 11067 + ], + [ + 3075, + 11530 + ], + [ + 1590, + 6648 + ], + [ + 147, + 1268 + ], + [ + 3166, + 7484 + ], + [ + 6834, + 8888 + ], + [ + 4325, + 10853 + ], + [ + 1362, + 10204 + ], + [ + 10567, + 11441 + ], + [ + 3607, + 8358 + ], + [ + 142, + 143 + ], + [ + 7735, + 11440 + ], + [ + 144, + 4353 + ], + [ + 5436, + 10017 + ], + [ + 1546, + 7480 + ], + [ + 1943, + 3918 + ], + [ + 5499, + 8087 + ], + [ + 3257, + 7198 + ], + [ + 7168, + 8360 + ], + [ + 4807, + 6059 + ], + [ + 1386, + 2280 + ], + [ + 252, + 10487 + ], + [ + 8347, + 8971 + ], + [ + 9158, + 10876 + ], + [ + 7296, + 10208 + ], + [ + 3775, + 9231 + ], + [ + 6595, + 8848 + ], + [ + 5129, + 8180 + ], + [ + 1658, + 7290 + ], + [ + 7188, + 10116 + ], + [ + 309, + 791 + ], + [ + 1109, + 5570 + ], + [ + 364, + 5416 + ], + [ + 5102, + 9740 + ], + [ + 6380, + 11111 + ], + [ + 5069, + 7348 + ], + [ + 3973, + 5459 + ], + [ + 2333, + 3672 + ], + [ + 3258, + 6645 + ], + [ + 6809, + 10470 + ], + [ + 7462, + 11035 + ], + [ + 6645, + 8561 + ], + [ + 8148, + 8330 + ], + [ + 1665, + 10339 + ], + [ + 1412, + 5729 + ], + [ + 10818, + 11386 + ], + [ + 8103, + 8587 + ], + [ + 2385, + 6464 + ], + [ + 7858, + 8756 + ], + [ + 2997, + 11192 + ], + [ + 3563, + 7631 + ], + [ + 7511, + 7894 + ], + [ + 2215, + 11156 + ], + [ + 8877, + 11364 + ], + [ + 9648, + 10487 + ], + [ + 4835, + 10685 + ], + [ + 6177, + 9597 + ], + [ + 1372, + 3297 + ], + [ + 5630, + 8704 + ], + [ + 3737, + 8723 + ], + [ + 1056, + 11170 + ], + [ + 65, + 407 + ], + [ + 4474, + 5983 + ], + [ + 5110, + 9577 + ], + [ + 2139, + 9067 + ], + [ + 4831, + 10916 + ], + [ + 3513, + 10146 + ], + [ + 6410, + 8263 + ], + [ + 6348, + 7385 + ], + [ + 5994, + 6887 + ], + [ + 8854, + 9286 + ], + [ + 2885, + 9796 + ], + [ + 2949, + 5085 + ], + [ + 2257, + 10227 + ], + [ + 3692, + 5166 + ], + [ + 6995, + 8135 + ], + [ + 4223, + 8966 + ], + [ + 1817, + 2758 + ], + [ + 8040, + 9712 + ], + [ + 9225, + 10892 + ], + [ + 2033, + 7486 + ], + [ + 5049, + 7769 + ], + [ + 3029, + 9925 + ], + [ + 262, + 6936 + ], + [ + 4589, + 9474 + ], + [ + 5019, + 9058 + ], + [ + 7950, + 10169 + ], + [ + 10, + 2928 + ], + [ + 5118, + 6785 + ], + [ + 4514, + 7610 + ], + [ + 787, + 6003 + ], + [ + 6812, + 8808 + ], + [ + 1159, + 4828 + ], + [ + 4638, + 6333 + ], + [ + 622, + 1213 + ], + [ + 5226, + 6503 + ], + [ + 842, + 2677 + ], + [ + 3328, + 6178 + ], + [ + 3675, + 10423 + ], + [ + 6882, + 7268 + ], + [ + 30, + 11100 + ], + [ + 2174, + 4284 + ], + [ + 3010, + 10972 + ], + [ + 3237, + 3781 + ], + [ + 1640, + 3596 + ], + [ + 4718, + 4757 + ], + [ + 5538, + 10912 + ], + [ + 3785, + 10968 + ], + [ + 2665, + 10937 + ], + [ + 208, + 2512 + ], + [ + 2577, + 4674 + ], + [ + 2422, + 7769 + ], + [ + 6558, + 11493 + ], + [ + 7142, + 7757 + ], + [ + 1605, + 8678 + ], + [ + 5557, + 5677 + ], + [ + 2434, + 7779 + ], + [ + 1782, + 2898 + ], + [ + 7856, + 10483 + ], + [ + 8570, + 9072 + ], + [ + 7508, + 9019 + ], + [ + 5512, + 11569 + ], + [ + 5632, + 10173 + ], + [ + 4326, + 6754 + ], + [ + 6098, + 9414 + ], + [ + 657, + 9289 + ], + [ + 9673, + 10627 + ], + [ + 8227, + 11335 + ], + [ + 5504, + 7894 + ], + [ + 1211, + 9848 + ], + [ + 6958, + 11211 + ], + [ + 361, + 4982 + ], + [ + 4127, + 9927 + ], + [ + 6996, + 10914 + ], + [ + 3624, + 5142 + ], + [ + 7457, + 11309 + ], + [ + 9606, + 9755 + ], + [ + 4403, + 9044 + ], + [ + 3725, + 5948 + ], + [ + 6808, + 10863 + ], + [ + 4528, + 7992 + ], + [ + 5147, + 9727 + ], + [ + 9727, + 11213 + ], + [ + 3877, + 6719 + ], + [ + 670, + 3458 + ], + [ + 4337, + 7643 + ], + [ + 1689, + 6066 + ], + [ + 978, + 11158 + ], + [ + 8729, + 9078 + ], + [ + 1162, + 7303 + ], + [ + 4579, + 7176 + ], + [ + 5929, + 10113 + ], + [ + 1127, + 10500 + ], + [ + 532, + 6907 + ], + [ + 4204, + 11436 + ], + [ + 2423, + 3028 + ], + [ + 10266, + 10336 + ], + [ + 3609, + 11226 + ], + [ + 589, + 10043 + ], + [ + 840, + 7410 + ], + [ + 4785, + 7402 + ], + [ + 490, + 615 + ], + [ + 2320, + 8161 + ], + [ + 300, + 6907 + ], + [ + 768, + 2057 + ], + [ + 1540, + 11204 + ], + [ + 296, + 3001 + ], + [ + 1760, + 7006 + ], + [ + 1099, + 11461 + ], + [ + 1381, + 10393 + ], + [ + 1412, + 5542 + ], + [ + 6642, + 8076 + ], + [ + 6538, + 6972 + ], + [ + 4001, + 6889 + ], + [ + 3177, + 9660 + ], + [ + 7077, + 11387 + ], + [ + 2707, + 11431 + ], + [ + 7135, + 8359 + ], + [ + 34, + 907 + ], + [ + 624, + 8320 + ], + [ + 3327, + 10358 + ], + [ + 6443, + 7085 + ], + [ + 4366, + 8707 + ], + [ + 4118, + 5195 + ], + [ + 5292, + 5489 + ], + [ + 1623, + 3860 + ], + [ + 2058, + 10204 + ], + [ + 5788, + 9076 + ], + [ + 1807, + 9804 + ], + [ + 453, + 2961 + ], + [ + 4814, + 11499 + ], + [ + 2543, + 6462 + ], + [ + 7028, + 10340 + ], + [ + 3687, + 4635 + ], + [ + 304, + 2838 + ], + [ + 5063, + 6541 + ], + [ + 5961, + 7691 + ], + [ + 367, + 7324 + ], + [ + 1105, + 4055 + ], + [ + 229, + 7390 + ], + [ + 2975, + 3086 + ], + [ + 3537, + 10703 + ], + [ + 6646, + 11177 + ], + [ + 1505, + 4928 + ], + [ + 4648, + 6484 + ], + [ + 4340, + 6331 + ], + [ + 1071, + 2192 + ], + [ + 7357, + 9468 + ], + [ + 2646, + 2803 + ], + [ + 5424, + 10088 + ], + [ + 6138, + 8677 + ], + [ + 6225, + 11305 + ], + [ + 7095, + 10407 + ], + [ + 4861, + 7881 + ], + [ + 4141, + 8723 + ], + [ + 4669, + 11094 + ], + [ + 4597, + 9528 + ], + [ + 1077, + 1606 + ], + [ + 5197, + 11213 + ], + [ + 3695, + 4472 + ], + [ + 3540, + 7567 + ], + [ + 5589, + 8061 + ], + [ + 743, + 5867 + ], + [ + 8205, + 10100 + ], + [ + 8637, + 10511 + ], + [ + 6462, + 10844 + ], + [ + 3470, + 5293 + ], + [ + 3162, + 11556 + ], + [ + 6643, + 9724 + ], + [ + 6590, + 9309 + ], + [ + 5148, + 6783 + ], + [ + 6829, + 9325 + ], + [ + 3496, + 7645 + ], + [ + 1414, + 4759 + ], + [ + 3152, + 3671 + ], + [ + 1854, + 5031 + ], + [ + 3406, + 4719 + ], + [ + 2874, + 11274 + ], + [ + 9417, + 10070 + ], + [ + 8070, + 10814 + ], + [ + 976, + 4533 + ], + [ + 1000, + 9091 + ], + [ + 9229, + 10019 + ], + [ + 1436, + 5457 + ], + [ + 5331, + 6840 + ], + [ + 4830, + 8544 + ], + [ + 1533, + 2357 + ], + [ + 7878, + 10994 + ], + [ + 5849, + 11152 + ], + [ + 2604, + 5155 + ], + [ + 4037, + 9847 + ], + [ + 10513, + 11585 + ], + [ + 1803, + 7321 + ], + [ + 1185, + 8440 + ], + [ + 9917, + 10019 + ], + [ + 5249, + 6434 + ], + [ + 5094, + 9529 + ], + [ + 7895, + 11348 + ], + [ + 3752, + 10617 + ], + [ + 10111, + 11016 + ], + [ + 6093, + 10731 + ], + [ + 732, + 7182 + ], + [ + 2910, + 6366 + ], + [ + 4842, + 5521 + ], + [ + 2634, + 10632 + ], + [ + 506, + 5149 + ], + [ + 3339, + 5725 + ], + [ + 603, + 8465 + ], + [ + 1229, + 11371 + ], + [ + 567, + 1638 + ], + [ + 14, + 8070 + ], + [ + 1607, + 3595 + ], + [ + 7954, + 8895 + ], + [ + 2039, + 4006 + ], + [ + 912, + 2804 + ], + [ + 5359, + 11116 + ], + [ + 11114, + 11586 + ], + [ + 2778, + 4345 + ], + [ + 10596, + 10657 + ], + [ + 5923, + 6728 + ], + [ + 3929, + 5941 + ], + [ + 3175, + 7199 + ], + [ + 1406, + 9728 + ], + [ + 5673, + 5799 + ], + [ + 2906, + 9226 + ], + [ + 848, + 10898 + ], + [ + 1306, + 5360 + ], + [ + 478, + 9867 + ], + [ + 222, + 5740 + ], + [ + 5863, + 11558 + ], + [ + 5347, + 5814 + ], + [ + 1062, + 6131 + ], + [ + 3085, + 7656 + ], + [ + 6438, + 10742 + ], + [ + 6071, + 9228 + ], + [ + 5412, + 10346 + ], + [ + 3452, + 6137 + ], + [ + 7469, + 8449 + ], + [ + 8117, + 9424 + ], + [ + 1923, + 5120 + ], + [ + 629, + 8881 + ], + [ + 8008, + 11359 + ], + [ + 860, + 8225 + ], + [ + 5741, + 6441 + ], + [ + 1154, + 7948 + ], + [ + 6021, + 8710 + ], + [ + 1214, + 8753 + ], + [ + 3487, + 4037 + ], + [ + 1537, + 7686 + ], + [ + 11022, + 11192 + ], + [ + 3520, + 9812 + ], + [ + 1279, + 10279 + ], + [ + 4753, + 11440 + ], + [ + 2769, + 4925 + ], + [ + 3433, + 4151 + ], + [ + 1375, + 9987 + ], + [ + 1580, + 7009 + ], + [ + 1270, + 8281 + ], + [ + 2990, + 9997 + ], + [ + 6254, + 7376 + ], + [ + 2802, + 10700 + ], + [ + 459, + 3343 + ], + [ + 2766, + 8791 + ], + [ + 1145, + 10464 + ], + [ + 149, + 2363 + ], + [ + 1673, + 6419 + ], + [ + 490, + 6039 + ], + [ + 579, + 4576 + ], + [ + 3871, + 9638 + ], + [ + 4277, + 8828 + ], + [ + 918, + 8179 + ], + [ + 3375, + 3772 + ], + [ + 1195, + 3761 + ], + [ + 7454, + 9214 + ], + [ + 5181, + 6760 + ], + [ + 131, + 629 + ], + [ + 4236, + 5040 + ], + [ + 3217, + 5815 + ], + [ + 3246, + 4301 + ], + [ + 6848, + 10343 + ], + [ + 4040, + 11517 + ], + [ + 4198, + 5687 + ], + [ + 4633, + 5615 + ], + [ + 5622, + 6883 + ], + [ + 6251, + 9306 + ], + [ + 19, + 2266 + ], + [ + 3752, + 11235 + ], + [ + 7021, + 8958 + ], + [ + 5661, + 9440 + ], + [ + 6922, + 8198 + ], + [ + 1853, + 4269 + ], + [ + 613, + 9771 + ], + [ + 1663, + 1893 + ], + [ + 4964, + 11205 + ], + [ + 9873, + 10715 + ], + [ + 2321, + 9972 + ], + [ + 2756, + 9900 + ], + [ + 6899, + 10631 + ], + [ + 4497, + 6077 + ], + [ + 2707, + 6251 + ], + [ + 7039, + 9887 + ], + [ + 6987, + 9697 + ], + [ + 7469, + 8717 + ], + [ + 3056, + 9788 + ], + [ + 4570, + 6740 + ], + [ + 2577, + 9561 + ], + [ + 1625, + 5142 + ], + [ + 7124, + 8655 + ], + [ + 2542, + 4090 + ], + [ + 1544, + 5742 + ], + [ + 2363, + 2627 + ], + [ + 802, + 5105 + ], + [ + 2269, + 6375 + ], + [ + 1336, + 8422 + ], + [ + 460, + 4587 + ], + [ + 489, + 3073 + ], + [ + 7271, + 8301 + ], + [ + 7259, + 10950 + ], + [ + 3933, + 5523 + ], + [ + 3186, + 10958 + ], + [ + 7236, + 9246 + ], + [ + 4094, + 10544 + ], + [ + 5610, + 11329 + ], + [ + 173, + 2278 + ], + [ + 3965, + 8444 + ], + [ + 5303, + 9866 + ], + [ + 134, + 2323 + ], + [ + 1259, + 6862 + ], + [ + 3833, + 5292 + ], + [ + 479, + 9151 + ], + [ + 10145, + 11537 + ], + [ + 5416, + 10682 + ], + [ + 2124, + 9003 + ], + [ + 3646, + 5816 + ], + [ + 11053, + 11096 + ], + [ + 6636, + 11294 + ], + [ + 6631, + 10950 + ], + [ + 62, + 6769 + ], + [ + 331, + 5496 + ], + [ + 2423, + 2654 + ], + [ + 8959, + 10105 + ], + [ + 1464, + 9896 + ], + [ + 1298, + 1498 + ], + [ + 1196, + 1221 + ], + [ + 8518, + 9581 + ], + [ + 7326, + 7984 + ], + [ + 8827, + 11090 + ], + [ + 6251, + 11079 + ], + [ + 3691, + 5185 + ], + [ + 4534, + 6628 + ], + [ + 4087, + 5939 + ], + [ + 1167, + 6118 + ], + [ + 6557, + 8153 + ], + [ + 1191, + 10676 + ], + [ + 2971, + 6027 + ], + [ + 7637, + 8785 + ], + [ + 137, + 8232 + ], + [ + 507, + 595 + ], + [ + 1131, + 2674 + ], + [ + 1062, + 11205 + ], + [ + 1530, + 7109 + ], + [ + 4869, + 6325 + ], + [ + 573, + 2346 + ], + [ + 10252, + 11353 + ], + [ + 538, + 5543 + ], + [ + 3497, + 8702 + ], + [ + 1183, + 6247 + ], + [ + 1740, + 7858 + ], + [ + 3584, + 11330 + ], + [ + 465, + 3752 + ], + [ + 2049, + 2197 + ], + [ + 3301, + 8763 + ], + [ + 2241, + 8783 + ], + [ + 6155, + 10216 + ], + [ + 2394, + 3363 + ], + [ + 1991, + 8608 + ], + [ + 1614, + 5652 + ], + [ + 7684, + 8200 + ], + [ + 2453, + 10359 + ], + [ + 4447, + 6228 + ], + [ + 3263, + 9410 + ], + [ + 2549, + 3651 + ], + [ + 2638, + 9358 + ], + [ + 5475, + 7424 + ], + [ + 4064, + 4211 + ], + [ + 3199, + 11088 + ], + [ + 4465, + 7938 + ], + [ + 5586, + 10823 + ], + [ + 6978, + 9098 + ], + [ + 688, + 7715 + ], + [ + 4986, + 6105 + ], + [ + 282, + 611 + ], + [ + 2119, + 10082 + ], + [ + 5075, + 9560 + ], + [ + 2272, + 6160 + ], + [ + 2872, + 8599 + ], + [ + 3457, + 5088 + ], + [ + 5848, + 8729 + ], + [ + 5843, + 8385 + ], + [ + 9829, + 11384 + ], + [ + 3165, + 3933 + ], + [ + 3550, + 4498 + ], + [ + 10107, + 10574 + ], + [ + 1485, + 2747 + ], + [ + 1357, + 3501 + ], + [ + 677, + 10158 + ], + [ + 1136, + 1812 + ], + [ + 1796, + 9964 + ], + [ + 1129, + 4805 + ], + [ + 738, + 5149 + ], + [ + 2908, + 3718 + ], + [ + 8759, + 11066 + ], + [ + 6743, + 9931 + ], + [ + 1414, + 4385 + ], + [ + 3518, + 4586 + ], + [ + 1713, + 4452 + ], + [ + 5429, + 5870 + ], + [ + 6069, + 6230 + ], + [ + 1676, + 5324 + ], + [ + 8616, + 11138 + ], + [ + 6315, + 6636 + ], + [ + 7994, + 8351 + ], + [ + 8460, + 9844 + ], + [ + 1407, + 9980 + ], + [ + 5280, + 8406 + ], + [ + 1271, + 4457 + ], + [ + 1645, + 5607 + ], + [ + 740, + 7450 + ], + [ + 7591, + 10563 + ], + [ + 4661, + 5890 + ], + [ + 5719, + 9207 + ], + [ + 2885, + 10658 + ], + [ + 4542, + 8642 + ], + [ + 927, + 9528 + ], + [ + 2635, + 9729 + ], + [ + 6625, + 7966 + ], + [ + 1882, + 8933 + ], + [ + 4068, + 11388 + ], + [ + 976, + 6387 + ], + [ + 4377, + 6481 + ], + [ + 3400, + 6004 + ], + [ + 8410, + 9326 + ], + [ + 3403, + 6275 + ], + [ + 566, + 1793 + ], + [ + 784, + 3184 + ], + [ + 2036, + 9750 + ], + [ + 9257, + 10888 + ], + [ + 3885, + 8678 + ], + [ + 1275, + 6804 + ], + [ + 10084, + 10293 + ], + [ + 4700, + 5040 + ], + [ + 6651, + 11415 + ], + [ + 6214, + 11414 + ], + [ + 7530, + 8351 + ], + [ + 861, + 4720 + ], + [ + 7027, + 7730 + ], + [ + 4757, + 11209 + ], + [ + 516, + 7691 + ], + [ + 177, + 1809 + ], + [ + 5813, + 7283 + ], + [ + 3628, + 7682 + ], + [ + 206, + 295 + ], + [ + 8879, + 11093 + ], + [ + 3600, + 5634 + ], + [ + 481, + 2220 + ], + [ + 8980, + 11145 + ], + [ + 269, + 11197 + ], + [ + 5031, + 7247 + ], + [ + 2101, + 2574 + ], + [ + 229, + 1218 + ], + [ + 3248, + 4428 + ], + [ + 9266, + 10950 + ], + [ + 3471, + 10327 + ], + [ + 4237, + 5696 + ], + [ + 2375, + 5028 + ], + [ + 6509, + 7925 + ], + [ + 6789, + 10194 + ], + [ + 1627, + 10238 + ], + [ + 4084, + 8083 + ], + [ + 3585, + 4952 + ], + [ + 1754, + 5849 + ], + [ + 687, + 2446 + ], + [ + 7665, + 10996 + ], + [ + 7532, + 11406 + ], + [ + 3387, + 9848 + ], + [ + 5135, + 7196 + ], + [ + 2800, + 10280 + ], + [ + 2143, + 5809 + ], + [ + 6824, + 9599 + ], + [ + 2795, + 3520 + ], + [ + 4665, + 4803 + ], + [ + 5200, + 5339 + ], + [ + 9422, + 11089 + ], + [ + 3983, + 8381 + ], + [ + 7563, + 9938 + ], + [ + 5820, + 10682 + ], + [ + 4982, + 9583 + ], + [ + 6128, + 8583 + ], + [ + 7619, + 11001 + ], + [ + 1457, + 11116 + ], + [ + 4471, + 8320 + ], + [ + 4226, + 7735 + ], + [ + 2344, + 5691 + ], + [ + 6329, + 8465 + ], + [ + 5147, + 7556 + ], + [ + 5395, + 11041 + ], + [ + 306, + 4982 + ], + [ + 3549, + 3736 + ], + [ + 4478, + 11369 + ], + [ + 2859, + 3289 + ], + [ + 6012, + 9697 + ], + [ + 441, + 4618 + ], + [ + 8682, + 9343 + ], + [ + 2419, + 6400 + ], + [ + 4762, + 7341 + ], + [ + 1996, + 7960 + ], + [ + 6504, + 7126 + ], + [ + 733, + 6897 + ], + [ + 8554, + 10474 + ], + [ + 3793, + 4446 + ], + [ + 1138, + 1698 + ], + [ + 3407, + 6662 + ], + [ + 8897, + 10813 + ], + [ + 8040, + 11192 + ], + [ + 5120, + 7961 + ], + [ + 10472, + 11424 + ], + [ + 5625, + 6376 + ], + [ + 1850, + 10013 + ], + [ + 4279, + 10728 + ], + [ + 2629, + 7499 + ], + [ + 6331, + 10739 + ], + [ + 3750, + 10384 + ], + [ + 8633, + 9427 + ], + [ + 6324, + 7316 + ], + [ + 1244, + 4726 + ], + [ + 4296, + 11082 + ], + [ + 5791, + 10236 + ], + [ + 2487, + 7042 + ], + [ + 809, + 8935 + ], + [ + 2464, + 5338 + ], + [ + 6129, + 10231 + ], + [ + 8831, + 11290 + ], + [ + 1835, + 6298 + ], + [ + 1523, + 10907 + ], + [ + 1893, + 9686 + ], + [ + 6432, + 11171 + ], + [ + 4011, + 8065 + ], + [ + 1607, + 2684 + ], + [ + 5430, + 8917 + ], + [ + 2574, + 10020 + ], + [ + 1328, + 7406 + ], + [ + 5710, + 8153 + ], + [ + 2842, + 4358 + ], + [ + 7265, + 7358 + ], + [ + 9847, + 10567 + ], + [ + 7421, + 7871 + ], + [ + 415, + 7853 + ], + [ + 3122, + 10010 + ], + [ + 1219, + 9341 + ], + [ + 3212, + 5739 + ], + [ + 2618, + 11416 + ], + [ + 1374, + 9629 + ], + [ + 1503, + 6067 + ], + [ + 6816, + 10356 + ], + [ + 2148, + 6771 + ], + [ + 54, + 2370 + ], + [ + 2335, + 2433 + ], + [ + 4355, + 4441 + ], + [ + 4845, + 8240 + ], + [ + 340, + 6339 + ], + [ + 1204, + 1489 + ], + [ + 1014, + 7781 + ], + [ + 243, + 6406 + ], + [ + 1925, + 7638 + ], + [ + 2885, + 9666 + ], + [ + 9760, + 10921 + ], + [ + 3445, + 7788 + ], + [ + 1502, + 7720 + ], + [ + 10782, + 10794 + ], + [ + 7415, + 10284 + ], + [ + 2750, + 10380 + ], + [ + 1967, + 2572 + ], + [ + 478, + 11534 + ], + [ + 4797, + 7014 + ], + [ + 561, + 10256 + ], + [ + 8874, + 10131 + ], + [ + 4920, + 11551 + ], + [ + 252, + 5714 + ], + [ + 1492, + 4349 + ], + [ + 8990, + 11245 + ], + [ + 2508, + 9692 + ], + [ + 1450, + 4123 + ], + [ + 4507, + 10823 + ], + [ + 7053, + 7959 + ], + [ + 5344, + 7533 + ], + [ + 10067, + 10825 + ], + [ + 3718, + 9616 + ], + [ + 5096, + 8185 + ], + [ + 3227, + 5592 + ], + [ + 2010, + 6382 + ], + [ + 6834, + 9726 + ], + [ + 3159, + 4899 + ], + [ + 1072, + 1669 + ], + [ + 8568, + 11148 + ], + [ + 8881, + 10147 + ], + [ + 388, + 10836 + ], + [ + 9662, + 9958 + ], + [ + 1811, + 2008 + ], + [ + 1910, + 5397 + ], + [ + 3431, + 6526 + ], + [ + 760, + 3245 + ], + [ + 755, + 2901 + ], + [ + 4710, + 10751 + ], + [ + 1971, + 2640 + ], + [ + 9983, + 11477 + ], + [ + 5382, + 9114 + ], + [ + 6075, + 7580 + ], + [ + 3952, + 8857 + ], + [ + 953, + 5545 + ], + [ + 5068, + 11398 + ], + [ + 219, + 8933 + ], + [ + 3206, + 4314 + ], + [ + 2428, + 7430 + ], + [ + 143, + 9877 + ], + [ + 6815, + 10773 + ], + [ + 3816, + 8215 + ], + [ + 3503, + 3554 + ], + [ + 2735, + 8112 + ], + [ + 85, + 3456 + ], + [ + 1518, + 1732 + ], + [ + 1232, + 7562 + ], + [ + 1199, + 11586 + ], + [ + 5934, + 9977 + ], + [ + 232, + 6135 + ], + [ + 3710, + 7415 + ], + [ + 3620, + 10905 + ], + [ + 1970, + 2014 + ], + [ + 8506, + 9465 + ], + [ + 567, + 11494 + ], + [ + 4001, + 7564 + ], + [ + 1250, + 2856 + ], + [ + 6977, + 8448 + ], + [ + 7156, + 9911 + ], + [ + 841, + 1116 + ], + [ + 314, + 8769 + ], + [ + 2776, + 6958 + ], + [ + 441, + 10042 + ], + [ + 10048, + 11067 + ], + [ + 1361, + 9261 + ], + [ + 2082, + 2605 + ], + [ + 1089, + 4601 + ], + [ + 1345, + 8728 + ], + [ + 2059, + 7317 + ], + [ + 5096, + 6225 + ], + [ + 2757, + 5403 + ], + [ + 6688, + 8695 + ], + [ + 1772, + 11424 + ], + [ + 9260, + 11216 + ], + [ + 6376, + 6888 + ], + [ + 4473, + 5465 + ], + [ + 4812, + 9849 + ], + [ + 3069, + 6429 + ], + [ + 1978, + 11300 + ], + [ + 1166, + 9170 + ], + [ + 5431, + 11584 + ], + [ + 9942, + 11021 + ], + [ + 8075, + 9255 + ], + [ + 4183, + 5891 + ], + [ + 2090, + 2092 + ], + [ + 4801, + 8155 + ], + [ + 265, + 11105 + ], + [ + 2994, + 7194 + ], + [ + 4207, + 7416 + ], + [ + 6072, + 8355 + ], + [ + 8167, + 9194 + ], + [ + 168, + 11172 + ], + [ + 569, + 11516 + ], + [ + 1255, + 2395 + ], + [ + 2368, + 7671 + ], + [ + 4761, + 7975 + ], + [ + 1989, + 8806 + ], + [ + 3895, + 8992 + ], + [ + 3678, + 4793 + ], + [ + 8220, + 9205 + ], + [ + 207, + 2425 + ], + [ + 4604, + 11374 + ], + [ + 2515, + 11481 + ], + [ + 3661, + 6317 + ], + [ + 5259, + 6350 + ], + [ + 8024, + 9266 + ], + [ + 5374, + 6862 + ], + [ + 1800, + 8503 + ], + [ + 4878, + 8910 + ], + [ + 10198, + 10960 + ], + [ + 6934, + 11329 + ], + [ + 1573, + 2862 + ], + [ + 3252, + 4577 + ], + [ + 6806, + 11329 + ], + [ + 5646, + 8489 + ], + [ + 3748, + 11574 + ], + [ + 6807, + 8521 + ], + [ + 1641, + 11075 + ], + [ + 511, + 3940 + ], + [ + 1357, + 4900 + ], + [ + 127, + 6983 + ], + [ + 4244, + 6493 + ], + [ + 2282, + 7873 + ], + [ + 3813, + 9690 + ], + [ + 783, + 5567 + ], + [ + 8260, + 10832 + ], + [ + 1029, + 1836 + ], + [ + 1648, + 10741 + ], + [ + 7134, + 10986 + ], + [ + 3273, + 9187 + ], + [ + 1895, + 4202 + ], + [ + 8345, + 10381 + ], + [ + 5795, + 5929 + ], + [ + 1769, + 5783 + ], + [ + 1363, + 4341 + ], + [ + 5698, + 5996 + ], + [ + 5258, + 11359 + ], + [ + 3362, + 4691 + ], + [ + 1117, + 5039 + ], + [ + 7113, + 8604 + ], + [ + 6966, + 11560 + ], + [ + 4031, + 10707 + ], + [ + 7145, + 7361 + ], + [ + 5466, + 9029 + ], + [ + 2821, + 4717 + ], + [ + 1107, + 6199 + ], + [ + 3870, + 6036 + ], + [ + 7447, + 8076 + ], + [ + 2598, + 8617 + ], + [ + 6051, + 8901 + ], + [ + 5180, + 9574 + ], + [ + 2993, + 9146 + ], + [ + 2659, + 3608 + ], + [ + 234, + 10182 + ], + [ + 1158, + 10301 + ], + [ + 103, + 4249 + ], + [ + 5261, + 7469 + ], + [ + 2929, + 8572 + ], + [ + 2833, + 11493 + ], + [ + 5813, + 11365 + ], + [ + 1060, + 9362 + ], + [ + 2232, + 9583 + ], + [ + 1332, + 7606 + ], + [ + 9737, + 11234 + ], + [ + 272, + 8380 + ], + [ + 654, + 8674 + ], + [ + 4692, + 5447 + ], + [ + 3642, + 6909 + ], + [ + 108, + 7225 + ], + [ + 7062, + 11217 + ], + [ + 1766, + 8063 + ], + [ + 419, + 8807 + ], + [ + 2602, + 8335 + ], + [ + 8460, + 10438 + ], + [ + 2322, + 8695 + ], + [ + 9533, + 9899 + ], + [ + 2594, + 4687 + ], + [ + 1790, + 9588 + ], + [ + 3433, + 10892 + ], + [ + 973, + 2950 + ], + [ + 2719, + 5887 + ], + [ + 7167, + 8385 + ], + [ + 7072, + 11531 + ], + [ + 1903, + 3234 + ], + [ + 1488, + 11128 + ], + [ + 4070, + 7921 + ], + [ + 5350, + 5955 + ], + [ + 5263, + 10874 + ], + [ + 617, + 11020 + ], + [ + 216, + 10676 + ], + [ + 2864, + 5837 + ], + [ + 4502, + 7551 + ], + [ + 2883, + 3635 + ], + [ + 3920, + 8327 + ], + [ + 3299, + 5765 + ], + [ + 181, + 5205 + ], + [ + 269, + 1642 + ], + [ + 6312, + 9160 + ], + [ + 1973, + 4353 + ], + [ + 13, + 2396 + ], + [ + 4844, + 7665 + ], + [ + 11468, + 11553 + ], + [ + 2478, + 9184 + ], + [ + 386, + 5610 + ], + [ + 8135, + 9873 + ], + [ + 4470, + 9144 + ], + [ + 5267, + 10242 + ], + [ + 1321, + 10025 + ], + [ + 8881, + 11383 + ], + [ + 8757, + 8873 + ], + [ + 3339, + 11206 + ], + [ + 83, + 11436 + ], + [ + 3156, + 11499 + ], + [ + 3691, + 8625 + ], + [ + 7322, + 10901 + ], + [ + 4555, + 7912 + ], + [ + 3056, + 4852 + ], + [ + 5193, + 7445 + ], + [ + 5232, + 7373 + ], + [ + 1594, + 11473 + ], + [ + 935, + 6175 + ], + [ + 5688, + 10807 + ], + [ + 4661, + 7557 + ], + [ + 549, + 6139 + ], + [ + 559, + 6827 + ], + [ + 3823, + 10622 + ], + [ + 1087, + 6946 + ], + [ + 4215, + 7470 + ], + [ + 1207, + 7802 + ], + [ + 1233, + 6771 + ], + [ + 8521, + 9885 + ], + [ + 4261, + 7815 + ], + [ + 2234, + 11052 + ], + [ + 553, + 6258 + ], + [ + 3979, + 4719 + ], + [ + 3450, + 5129 + ], + [ + 10695, + 10825 + ], + [ + 9640, + 9691 + ], + [ + 483, + 4738 + ], + [ + 1487, + 7038 + ], + [ + 7583, + 8555 + ], + [ + 6955, + 8232 + ], + [ + 916, + 1587 + ], + [ + 5924, + 7492 + ], + [ + 6015, + 7610 + ], + [ + 886, + 2876 + ], + [ + 4285, + 8559 + ], + [ + 1033, + 5555 + ], + [ + 10557, + 11241 + ], + [ + 5830, + 10459 + ], + [ + 7251, + 11384 + ], + [ + 90, + 10297 + ], + [ + 1057, + 2916 + ], + [ + 8691, + 10831 + ], + [ + 3793, + 4340 + ], + [ + 8066, + 10779 + ], + [ + 4888, + 6758 + ], + [ + 2081, + 4370 + ], + [ + 5439, + 7046 + ], + [ + 1774, + 2907 + ], + [ + 4380, + 10674 + ], + [ + 1887, + 6756 + ], + [ + 1978, + 6120 + ], + [ + 2879, + 4535 + ], + [ + 974, + 7203 + ], + [ + 2505, + 2604 + ], + [ + 1942, + 9846 + ], + [ + 1388, + 6254 + ], + [ + 879, + 3933 + ], + [ + 4779, + 5660 + ], + [ + 1319, + 4205 + ], + [ + 5773, + 6518 + ], + [ + 3402, + 9945 + ], + [ + 859, + 6664 + ], + [ + 3068, + 10823 + ], + [ + 6855, + 10229 + ], + [ + 35, + 3019 + ], + [ + 2032, + 9739 + ], + [ + 1065, + 6540 + ], + [ + 4799, + 9695 + ], + [ + 4057, + 9058 + ], + [ + 289, + 7450 + ], + [ + 248, + 7449 + ], + [ + 2338, + 3780 + ], + [ + 2331, + 6773 + ], + [ + 1584, + 5792 + ], + [ + 4171, + 9345 + ], + [ + 2586, + 11429 + ], + [ + 2030, + 9262 + ], + [ + 1870, + 4843 + ], + [ + 1185, + 11156 + ], + [ + 1149, + 5083 + ], + [ + 8372, + 11185 + ], + [ + 2145, + 10905 + ], + [ + 6371, + 6975 + ], + [ + 1856, + 10802 + ], + [ + 1049, + 9016 + ], + [ + 8547, + 9496 + ], + [ + 338, + 3528 + ], + [ + 2721, + 9560 + ], + [ + 10666, + 10729 + ], + [ + 7710, + 8999 + ], + [ + 8398, + 9373 + ], + [ + 3751, + 4413 + ], + [ + 3028, + 3072 + ], + [ + 3993, + 10362 + ], + [ + 8012, + 9337 + ], + [ + 8199, + 9163 + ], + [ + 3927, + 5578 + ], + [ + 8720, + 10363 + ], + [ + 4207, + 7847 + ], + [ + 2958, + 5716 + ], + [ + 1091, + 11120 + ], + [ + 5800, + 10542 + ], + [ + 638, + 9832 + ], + [ + 287, + 2435 + ], + [ + 6109, + 11297 + ], + [ + 1252, + 5561 + ], + [ + 3239, + 10839 + ], + [ + 4739, + 11091 + ], + [ + 4138, + 9181 + ], + [ + 5105, + 5964 + ], + [ + 4053, + 10763 + ], + [ + 645, + 3082 + ], + [ + 211, + 346 + ], + [ + 597, + 10181 + ], + [ + 5537, + 5594 + ], + [ + 9642, + 10005 + ], + [ + 6448, + 11113 + ], + [ + 4134, + 8658 + ], + [ + 2303, + 7303 + ], + [ + 5905, + 6929 + ], + [ + 5566, + 7463 + ], + [ + 772, + 5459 + ], + [ + 1814, + 9771 + ], + [ + 828, + 6522 + ], + [ + 5890, + 9280 + ], + [ + 6456, + 7971 + ], + [ + 8257, + 8363 + ], + [ + 2064, + 6913 + ], + [ + 4680, + 9706 + ], + [ + 2397, + 2400 + ], + [ + 2094, + 2591 + ], + [ + 1994, + 5393 + ], + [ + 7291, + 11401 + ], + [ + 1092, + 6753 + ], + [ + 1873, + 7318 + ], + [ + 4734, + 9942 + ], + [ + 4637, + 10009 + ], + [ + 4673, + 5502 + ], + [ + 5796, + 9214 + ], + [ + 6288, + 9676 + ], + [ + 5352, + 5790 + ], + [ + 2738, + 9459 + ], + [ + 10391, + 11008 + ], + [ + 6437, + 6766 + ], + [ + 614, + 6347 + ], + [ + 6255, + 10667 + ], + [ + 338, + 4951 + ], + [ + 2760, + 3741 + ], + [ + 6237, + 8583 + ], + [ + 72, + 9181 + ], + [ + 366, + 3212 + ], + [ + 6269, + 11504 + ], + [ + 9725, + 11305 + ], + [ + 7822, + 9882 + ], + [ + 10597, + 11234 + ], + [ + 3622, + 6365 + ], + [ + 1980, + 10167 + ], + [ + 6020, + 7767 + ], + [ + 566, + 3273 + ], + [ + 2035, + 7622 + ], + [ + 8470, + 8605 + ], + [ + 1820, + 5748 + ], + [ + 2664, + 10799 + ], + [ + 7540, + 7917 + ], + [ + 4393, + 5461 + ], + [ + 3498, + 7992 + ], + [ + 4883, + 9260 + ], + [ + 688, + 7585 + ], + [ + 215, + 5675 + ], + [ + 7940, + 8790 + ], + [ + 5978, + 10924 + ], + [ + 708, + 2575 + ], + [ + 747, + 1749 + ], + [ + 5537, + 7017 + ], + [ + 3135, + 8879 + ], + [ + 5822, + 9630 + ], + [ + 2085, + 7335 + ], + [ + 1739, + 6698 + ], + [ + 5228, + 8891 + ], + [ + 156, + 5445 + ], + [ + 1145, + 5959 + ], + [ + 3442, + 6555 + ], + [ + 1867, + 5163 + ], + [ + 2832, + 8289 + ], + [ + 1700, + 6743 + ], + [ + 1118, + 7519 + ], + [ + 3578, + 9799 + ], + [ + 3265, + 4384 + ], + [ + 9541, + 10972 + ], + [ + 8333, + 8842 + ], + [ + 6029, + 7075 + ], + [ + 5645, + 10118 + ], + [ + 6768, + 7414 + ], + [ + 4529, + 10960 + ], + [ + 2559, + 8315 + ], + [ + 2168, + 8659 + ], + [ + 9969, + 10860 + ], + [ + 1810, + 10671 + ], + [ + 1535, + 2330 + ], + [ + 3212, + 9634 + ], + [ + 6610, + 10211 + ], + [ + 478, + 6785 + ], + [ + 913, + 5959 + ], + [ + 5610, + 8784 + ], + [ + 1279, + 8002 + ], + [ + 3577, + 5036 + ], + [ + 411, + 1776 + ], + [ + 4578, + 7819 + ], + [ + 6374, + 10119 + ], + [ + 3483, + 11036 + ], + [ + 2863, + 9830 + ], + [ + 2918, + 9537 + ], + [ + 7308, + 10145 + ], + [ + 10823, + 11307 + ], + [ + 2724, + 3255 + ], + [ + 2390, + 4133 + ], + [ + 546, + 3290 + ], + [ + 2070, + 8100 + ], + [ + 1910, + 10097 + ], + [ + 6705, + 9293 + ], + [ + 2319, + 8804 + ], + [ + 566, + 4696 + ], + [ + 5151, + 6526 + ], + [ + 7694, + 9807 + ], + [ + 6771, + 11044 + ], + [ + 544, + 10764 + ], + [ + 3581, + 4754 + ], + [ + 4706, + 5129 + ], + [ + 1688, + 8937 + ], + [ + 2130, + 5118 + ], + [ + 4203, + 10170 + ], + [ + 745, + 3126 + ], + [ + 1565, + 3619 + ], + [ + 2341, + 3086 + ], + [ + 1434, + 10518 + ], + [ + 4546, + 10509 + ], + [ + 2314, + 11062 + ], + [ + 5922, + 8251 + ], + [ + 2582, + 9564 + ], + [ + 3239, + 7619 + ], + [ + 2494, + 7465 + ], + [ + 959, + 4748 + ], + [ + 1934, + 7808 + ], + [ + 8240, + 10855 + ], + [ + 1712, + 3265 + ], + [ + 4974, + 6233 + ], + [ + 2199, + 2629 + ], + [ + 3545, + 8830 + ], + [ + 3980, + 8004 + ], + [ + 3285, + 7213 + ], + [ + 2703, + 7989 + ], + [ + 1946, + 8572 + ], + [ + 3971, + 10924 + ], + [ + 3592, + 7895 + ], + [ + 139, + 5359 + ], + [ + 8177, + 8971 + ], + [ + 1852, + 5904 + ], + [ + 73, + 6991 + ], + [ + 8608, + 9157 + ], + [ + 6674, + 6923 + ], + [ + 1321, + 9651 + ], + [ + 2790, + 3420 + ], + [ + 3065, + 5345 + ], + [ + 2311, + 7357 + ], + [ + 3620, + 9539 + ], + [ + 8818, + 9906 + ], + [ + 6049, + 10254 + ], + [ + 3143, + 3723 + ], + [ + 5233, + 6470 + ], + [ + 5890, + 9443 + ], + [ + 1867, + 2398 + ], + [ + 7242, + 8319 + ], + [ + 5853, + 9561 + ], + [ + 3521, + 6500 + ], + [ + 7490, + 11050 + ], + [ + 809, + 966 + ], + [ + 7868, + 10444 + ], + [ + 1834, + 7553 + ], + [ + 273, + 10031 + ], + [ + 2319, + 6844 + ], + [ + 3203, + 4124 + ], + [ + 5130, + 10105 + ], + [ + 3635, + 10951 + ], + [ + 273, + 3615 + ], + [ + 1446, + 6690 + ], + [ + 1518, + 2594 + ], + [ + 2147, + 11433 + ], + [ + 5991, + 11373 + ], + [ + 4532, + 5460 + ], + [ + 8864, + 9096 + ], + [ + 1729, + 2814 + ], + [ + 8919, + 9557 + ], + [ + 6424, + 8222 + ], + [ + 388, + 7510 + ], + [ + 3132, + 8795 + ], + [ + 10345, + 10826 + ], + [ + 3507, + 8672 + ], + [ + 5276, + 6897 + ], + [ + 10157, + 10775 + ], + [ + 2749, + 3395 + ], + [ + 9999, + 10189 + ], + [ + 126, + 2814 + ], + [ + 4996, + 7257 + ], + [ + 2645, + 5674 + ], + [ + 8281, + 11148 + ], + [ + 602, + 8378 + ], + [ + 159, + 7808 + ], + [ + 8527, + 11554 + ], + [ + 4702, + 9412 + ], + [ + 1855, + 4242 + ], + [ + 7470, + 9593 + ], + [ + 9139, + 9866 + ], + [ + 1341, + 5684 + ], + [ + 522, + 8799 + ], + [ + 8834, + 9984 + ], + [ + 7939, + 8351 + ], + [ + 1554, + 6731 + ], + [ + 4407, + 9494 + ], + [ + 365, + 8815 + ], + [ + 7897, + 8125 + ], + [ + 4406, + 5105 + ], + [ + 734, + 10375 + ], + [ + 5188, + 6272 + ], + [ + 2827, + 11141 + ], + [ + 5649, + 7421 + ], + [ + 2946, + 6137 + ], + [ + 4491, + 4654 + ], + [ + 10280, + 11124 + ], + [ + 3465, + 4258 + ], + [ + 3162, + 4449 + ], + [ + 2188, + 6495 + ], + [ + 2439, + 10278 + ], + [ + 918, + 3487 + ], + [ + 9503, + 11432 + ], + [ + 1282, + 10365 + ], + [ + 4176, + 8965 + ], + [ + 7564, + 8854 + ], + [ + 5394, + 9531 + ], + [ + 1039, + 11361 + ], + [ + 2438, + 3637 + ], + [ + 351, + 407 + ], + [ + 44, + 10278 + ], + [ + 10961, + 11458 + ], + [ + 789, + 4016 + ], + [ + 214, + 7491 + ], + [ + 819, + 6110 + ], + [ + 2395, + 10356 + ], + [ + 1500, + 6471 + ], + [ + 7943, + 8069 + ], + [ + 10921, + 11278 + ], + [ + 5561, + 10583 + ], + [ + 220, + 8410 + ], + [ + 591, + 10043 + ], + [ + 3137, + 4927 + ], + [ + 6189, + 7119 + ], + [ + 1731, + 5064 + ], + [ + 4809, + 5471 + ], + [ + 2546, + 4459 + ], + [ + 367, + 8056 + ], + [ + 2848, + 10459 + ], + [ + 694, + 10171 + ], + [ + 3928, + 4675 + ], + [ + 2496, + 10007 + ], + [ + 9137, + 9338 + ], + [ + 3875, + 11430 + ], + [ + 3710, + 6667 + ], + [ + 4742, + 11015 + ], + [ + 5234, + 11477 + ], + [ + 1276, + 9745 + ], + [ + 9505, + 10673 + ], + [ + 4822, + 6056 + ], + [ + 3426, + 10291 + ], + [ + 1965, + 10721 + ], + [ + 3137, + 3772 + ], + [ + 929, + 8883 + ], + [ + 499, + 3637 + ], + [ + 7069, + 10672 + ], + [ + 116, + 9534 + ], + [ + 1769, + 10028 + ], + [ + 8245, + 11012 + ], + [ + 6192, + 6612 + ], + [ + 216, + 10115 + ], + [ + 9206, + 10232 + ], + [ + 2604, + 10075 + ], + [ + 307, + 10233 + ], + [ + 5775, + 7263 + ], + [ + 3237, + 4326 + ], + [ + 3383, + 9813 + ], + [ + 7050, + 8363 + ], + [ + 3910, + 7078 + ], + [ + 5275, + 10323 + ], + [ + 4590, + 6056 + ], + [ + 9020, + 10227 + ], + [ + 5708, + 9424 + ], + [ + 4125, + 8171 + ], + [ + 2595, + 3546 + ], + [ + 1225, + 9002 + ], + [ + 4678, + 9286 + ], + [ + 1376, + 9171 + ], + [ + 4526, + 5482 + ], + [ + 3461, + 5158 + ], + [ + 3244, + 7375 + ], + [ + 7504, + 8691 + ], + [ + 3338, + 10420 + ], + [ + 6392, + 7023 + ], + [ + 186, + 450 + ], + [ + 5791, + 11529 + ], + [ + 3609, + 9193 + ], + [ + 6193, + 9065 + ], + [ + 2832, + 5337 + ], + [ + 6228, + 8497 + ], + [ + 590, + 2196 + ], + [ + 8535, + 9781 + ], + [ + 6510, + 8183 + ], + [ + 3110, + 4527 + ], + [ + 6654, + 10591 + ], + [ + 4288, + 7946 + ], + [ + 8948, + 10889 + ], + [ + 987, + 2771 + ], + [ + 10109, + 10921 + ], + [ + 80, + 10203 + ], + [ + 2609, + 9614 + ], + [ + 6675, + 8435 + ], + [ + 1167, + 7842 + ], + [ + 2293, + 11071 + ], + [ + 2480, + 10897 + ], + [ + 481, + 7514 + ], + [ + 3282, + 5923 + ], + [ + 6520, + 8497 + ], + [ + 2879, + 8162 + ], + [ + 7700, + 8579 + ], + [ + 7925, + 11141 + ], + [ + 2683, + 4840 + ], + [ + 5277, + 9564 + ], + [ + 5826, + 6396 + ], + [ + 7, + 7631 + ], + [ + 8360, + 11069 + ], + [ + 10409, + 11563 + ], + [ + 2868, + 3839 + ], + [ + 3673, + 8962 + ], + [ + 9039, + 10603 + ], + [ + 3430, + 9204 + ], + [ + 7105, + 8369 + ], + [ + 288, + 7092 + ], + [ + 3302, + 3542 + ], + [ + 10115, + 10335 + ], + [ + 339, + 7057 + ], + [ + 3334, + 6463 + ], + [ + 5443, + 7008 + ], + [ + 3397, + 3779 + ], + [ + 8304, + 9632 + ], + [ + 843, + 1837 + ], + [ + 10397, + 10398 + ], + [ + 4542, + 5560 + ], + [ + 4943, + 9287 + ], + [ + 1703, + 10050 + ], + [ + 9979, + 10824 + ], + [ + 8666, + 11152 + ], + [ + 5491, + 5894 + ], + [ + 3065, + 3198 + ], + [ + 1198, + 2186 + ], + [ + 7426, + 9484 + ], + [ + 5215, + 10914 + ], + [ + 1939, + 3352 + ], + [ + 2374, + 2526 + ], + [ + 4467, + 9708 + ], + [ + 3586, + 5529 + ], + [ + 8751, + 9920 + ], + [ + 9933, + 10829 + ], + [ + 4181, + 6870 + ], + [ + 4709, + 9241 + ], + [ + 9688, + 10244 + ], + [ + 5859, + 11366 + ], + [ + 746, + 749 + ], + [ + 7964, + 8005 + ], + [ + 8970, + 11132 + ], + [ + 459, + 692 + ], + [ + 2456, + 7412 + ], + [ + 3679, + 8322 + ], + [ + 5154, + 6100 + ], + [ + 2495, + 10750 + ], + [ + 6012, + 8575 + ], + [ + 5103, + 8764 + ], + [ + 8613, + 9582 + ], + [ + 4413, + 8317 + ], + [ + 681, + 2202 + ], + [ + 2331, + 3179 + ], + [ + 6868, + 10253 + ], + [ + 868, + 8444 + ], + [ + 4913, + 6388 + ], + [ + 1864, + 4467 + ], + [ + 797, + 9732 + ], + [ + 4226, + 5458 + ], + [ + 7428, + 8375 + ], + [ + 678, + 6068 + ], + [ + 5275, + 10941 + ], + [ + 3848, + 10201 + ], + [ + 9944, + 10964 + ], + [ + 6210, + 11192 + ], + [ + 3249, + 4954 + ], + [ + 6084, + 6357 + ], + [ + 6700, + 8575 + ], + [ + 4282, + 9904 + ], + [ + 4743, + 10299 + ], + [ + 10, + 6319 + ], + [ + 4831, + 6736 + ], + [ + 1439, + 1443 + ], + [ + 2311, + 7788 + ], + [ + 2612, + 4518 + ], + [ + 1596, + 8974 + ], + [ + 1620, + 9368 + ], + [ + 4772, + 6506 + ], + [ + 3712, + 6526 + ], + [ + 7003, + 8734 + ], + [ + 3488, + 5320 + ], + [ + 11077, + 11580 + ], + [ + 1245, + 7212 + ], + [ + 6188, + 6306 + ], + [ + 580, + 7761 + ], + [ + 6192, + 6425 + ], + [ + 3668, + 7358 + ], + [ + 1292, + 3271 + ], + [ + 8430, + 9824 + ], + [ + 1818, + 9733 + ], + [ + 6059, + 6835 + ], + [ + 5780, + 7420 + ], + [ + 4314, + 6752 + ], + [ + 135, + 4112 + ], + [ + 2288, + 11345 + ], + [ + 6992, + 8171 + ], + [ + 9134, + 11108 + ], + [ + 8481, + 9762 + ], + [ + 6681, + 9972 + ], + [ + 2775, + 8430 + ], + [ + 9717, + 10907 + ], + [ + 3099, + 10217 + ], + [ + 6848, + 6887 + ], + [ + 1146, + 3045 + ], + [ + 1834, + 6829 + ], + [ + 3093, + 10402 + ], + [ + 5541, + 10413 + ], + [ + 6322, + 10978 + ], + [ + 2458, + 3246 + ], + [ + 582, + 4400 + ], + [ + 370, + 6207 + ], + [ + 5819, + 10357 + ], + [ + 1650, + 4241 + ], + [ + 2393, + 7732 + ], + [ + 3198, + 6439 + ], + [ + 2869, + 7661 + ], + [ + 3301, + 8072 + ], + [ + 1367, + 11500 + ], + [ + 8175, + 10779 + ], + [ + 1243, + 3328 + ], + [ + 644, + 8661 + ], + [ + 1172, + 4616 + ], + [ + 1118, + 7763 + ], + [ + 4352, + 8683 + ], + [ + 3091, + 9201 + ], + [ + 7948, + 9275 + ], + [ + 4038, + 10967 + ], + [ + 8386, + 8720 + ], + [ + 6858, + 10584 + ], + [ + 1298, + 9801 + ], + [ + 2130, + 6167 + ], + [ + 2161, + 5480 + ], + [ + 6015, + 6862 + ], + [ + 4888, + 5660 + ], + [ + 499, + 1490 + ], + [ + 6720, + 7617 + ], + [ + 6663, + 7083 + ], + [ + 2867, + 9843 + ], + [ + 8911, + 11170 + ], + [ + 6877, + 10984 + ], + [ + 1958, + 4370 + ], + [ + 8413, + 10893 + ], + [ + 3494, + 9941 + ], + [ + 1835, + 9632 + ], + [ + 5130, + 8576 + ], + [ + 5634, + 6389 + ], + [ + 7461, + 8002 + ], + [ + 5224, + 8211 + ], + [ + 6370, + 6457 + ], + [ + 4231, + 7201 + ], + [ + 1577, + 8061 + ], + [ + 398, + 10833 + ], + [ + 6380, + 11282 + ], + [ + 981, + 6495 + ], + [ + 3379, + 7897 + ], + [ + 8148, + 11534 + ], + [ + 1513, + 7487 + ], + [ + 4457, + 5450 + ], + [ + 2440, + 7123 + ], + [ + 17, + 10360 + ], + [ + 6433, + 11293 + ], + [ + 5079, + 10866 + ], + [ + 1414, + 6727 + ], + [ + 6883, + 11529 + ], + [ + 2987, + 4259 + ], + [ + 5478, + 8104 + ], + [ + 1928, + 7887 + ], + [ + 90, + 5361 + ], + [ + 7068, + 7495 + ], + [ + 1247, + 7903 + ], + [ + 4707, + 5194 + ], + [ + 120, + 7455 + ], + [ + 2486, + 3684 + ], + [ + 6652, + 11000 + ], + [ + 7894, + 10462 + ], + [ + 2600, + 3971 + ], + [ + 1398, + 11455 + ], + [ + 7119, + 10816 + ], + [ + 457, + 4192 + ], + [ + 5861, + 10097 + ], + [ + 1733, + 11152 + ], + [ + 49, + 2677 + ], + [ + 3151, + 7642 + ], + [ + 2747, + 3617 + ], + [ + 1759, + 3705 + ], + [ + 358, + 9848 + ], + [ + 6802, + 8665 + ], + [ + 5620, + 7756 + ], + [ + 3343, + 7812 + ], + [ + 325, + 1040 + ], + [ + 3036, + 7103 + ], + [ + 7296, + 8419 + ], + [ + 5522, + 7598 + ], + [ + 3459, + 8926 + ], + [ + 2246, + 2288 + ], + [ + 7570, + 10873 + ], + [ + 7606, + 10530 + ], + [ + 784, + 8909 + ], + [ + 3236, + 6410 + ], + [ + 1061, + 1081 + ], + [ + 1333, + 3489 + ], + [ + 684, + 5295 + ], + [ + 4512, + 11118 + ], + [ + 8029, + 8943 + ], + [ + 6933, + 7054 + ], + [ + 2048, + 5686 + ], + [ + 626, + 10952 + ], + [ + 712, + 10726 + ], + [ + 6094, + 6484 + ], + [ + 2398, + 6442 + ], + [ + 6310, + 7048 + ], + [ + 1248, + 4290 + ], + [ + 7366, + 9538 + ], + [ + 1886, + 3823 + ], + [ + 21, + 9273 + ], + [ + 2260, + 6858 + ], + [ + 9166, + 9678 + ], + [ + 1501, + 4362 + ], + [ + 2975, + 9055 + ], + [ + 291, + 7821 + ], + [ + 3056, + 3567 + ], + [ + 2311, + 3413 + ], + [ + 5079, + 9256 + ], + [ + 5433, + 10508 + ], + [ + 4394, + 9153 + ], + [ + 2959, + 3634 + ], + [ + 4180, + 4471 + ], + [ + 5826, + 10210 + ], + [ + 7006, + 8040 + ], + [ + 3542, + 6843 + ], + [ + 4266, + 6874 + ], + [ + 2953, + 9454 + ], + [ + 5014, + 11463 + ], + [ + 4021, + 7043 + ], + [ + 1358, + 3680 + ], + [ + 6543, + 9447 + ], + [ + 5573, + 6731 + ], + [ + 5595, + 10462 + ], + [ + 2200, + 7904 + ], + [ + 2946, + 9414 + ], + [ + 3471, + 5098 + ], + [ + 6815, + 11074 + ], + [ + 2194, + 7335 + ], + [ + 3424, + 6006 + ], + [ + 334, + 3330 + ], + [ + 711, + 3280 + ], + [ + 6426, + 7357 + ], + [ + 703, + 9054 + ], + [ + 5092, + 6808 + ], + [ + 4097, + 7977 + ], + [ + 2094, + 7104 + ], + [ + 3936, + 4087 + ], + [ + 601, + 7996 + ], + [ + 5577, + 9482 + ], + [ + 258, + 4624 + ], + [ + 5665, + 8548 + ], + [ + 873, + 9623 + ], + [ + 7690, + 10900 + ], + [ + 98, + 10004 + ], + [ + 1122, + 3911 + ], + [ + 8661, + 10808 + ], + [ + 523, + 2828 + ], + [ + 658, + 8880 + ], + [ + 8841, + 9463 + ], + [ + 2728, + 10251 + ], + [ + 8335, + 10823 + ], + [ + 1057, + 1981 + ], + [ + 5004, + 9970 + ], + [ + 551, + 4095 + ], + [ + 4308, + 8173 + ], + [ + 1789, + 2280 + ], + [ + 3036, + 10754 + ], + [ + 1671, + 3722 + ], + [ + 8135, + 10361 + ], + [ + 1691, + 11544 + ], + [ + 2725, + 3133 + ], + [ + 4146, + 6310 + ], + [ + 2027, + 2044 + ], + [ + 2649, + 7460 + ], + [ + 6162, + 8549 + ], + [ + 1556, + 5842 + ], + [ + 10124, + 10400 + ], + [ + 11265, + 11308 + ], + [ + 525, + 11518 + ], + [ + 1836, + 8111 + ], + [ + 7166, + 10095 + ], + [ + 1218, + 9230 + ], + [ + 6197, + 10233 + ], + [ + 650, + 9712 + ], + [ + 3984, + 8584 + ], + [ + 1398, + 1469 + ], + [ + 5596, + 9077 + ], + [ + 5850, + 10125 + ], + [ + 4596, + 6896 + ], + [ + 2139, + 2635 + ], + [ + 3699, + 9354 + ], + [ + 5686, + 8970 + ], + [ + 3480, + 7738 + ], + [ + 2045, + 8635 + ], + [ + 9985, + 10214 + ], + [ + 769, + 8064 + ], + [ + 7913, + 10675 + ], + [ + 5521, + 6809 + ], + [ + 8191, + 9865 + ], + [ + 2558, + 3908 + ], + [ + 1720, + 2809 + ], + [ + 5057, + 5362 + ], + [ + 1841, + 10683 + ], + [ + 5170, + 9211 + ], + [ + 1648, + 11042 + ], + [ + 4239, + 5669 + ], + [ + 5042, + 7713 + ], + [ + 3731, + 3950 + ], + [ + 5824, + 11132 + ], + [ + 497, + 8665 + ], + [ + 6593, + 10182 + ], + [ + 521, + 6807 + ], + [ + 9803, + 10708 + ], + [ + 3977, + 10772 + ], + [ + 1993, + 8421 + ], + [ + 5288, + 8119 + ], + [ + 82, + 3727 + ], + [ + 5007, + 7877 + ], + [ + 5473, + 7118 + ], + [ + 7138, + 10655 + ], + [ + 5928, + 7698 + ], + [ + 298, + 5422 + ], + [ + 2717, + 6947 + ], + [ + 2040, + 10869 + ], + [ + 7986, + 9409 + ], + [ + 9033, + 9901 + ], + [ + 3408, + 7969 + ], + [ + 1125, + 11243 + ], + [ + 6085, + 8032 + ], + [ + 2969, + 4135 + ], + [ + 1651, + 10535 + ], + [ + 660, + 2778 + ], + [ + 350, + 8214 + ], + [ + 2396, + 5027 + ], + [ + 5833, + 11194 + ], + [ + 10300, + 10359 + ], + [ + 5635, + 10455 + ], + [ + 5048, + 6723 + ], + [ + 879, + 4771 + ], + [ + 2049, + 4165 + ], + [ + 2804, + 9925 + ], + [ + 5230, + 6205 + ], + [ + 2033, + 3632 + ], + [ + 1990, + 6968 + ], + [ + 6757, + 10532 + ], + [ + 8343, + 9050 + ], + [ + 2240, + 11280 + ], + [ + 11290, + 11448 + ], + [ + 8399, + 10113 + ], + [ + 6023, + 6780 + ], + [ + 152, + 7825 + ], + [ + 6865, + 10250 + ], + [ + 1008, + 9503 + ], + [ + 6773, + 11415 + ], + [ + 1916, + 4925 + ], + [ + 5654, + 7822 + ], + [ + 353, + 10740 + ], + [ + 7268, + 9142 + ], + [ + 2634, + 10803 + ], + [ + 1323, + 7794 + ], + [ + 2285, + 4233 + ], + [ + 5614, + 8423 + ], + [ + 3594, + 6415 + ], + [ + 5794, + 7078 + ], + [ + 2683, + 10695 + ], + [ + 5489, + 6442 + ], + [ + 5864, + 6319 + ], + [ + 9685, + 10971 + ], + [ + 6770, + 7330 + ], + [ + 2646, + 4397 + ], + [ + 9500, + 11191 + ], + [ + 7449, + 7618 + ], + [ + 3087, + 5271 + ], + [ + 2837, + 5096 + ], + [ + 337, + 5669 + ], + [ + 6405, + 11554 + ], + [ + 6004, + 11210 + ], + [ + 2325, + 8893 + ], + [ + 3259, + 9700 + ], + [ + 2577, + 2698 + ], + [ + 9824, + 9975 + ], + [ + 519, + 8534 + ], + [ + 8485, + 10580 + ], + [ + 2026, + 5039 + ], + [ + 8435, + 11217 + ], + [ + 2831, + 3746 + ], + [ + 2547, + 3987 + ], + [ + 2977, + 3571 + ], + [ + 6249, + 11391 + ], + [ + 2569, + 6220 + ], + [ + 705, + 11141 + ], + [ + 10913, + 11070 + ], + [ + 3910, + 11323 + ], + [ + 6310, + 8634 + ], + [ + 23, + 8303 + ], + [ + 4849, + 8310 + ], + [ + 9223, + 11448 + ], + [ + 2538, + 10290 + ], + [ + 6834, + 11263 + ], + [ + 7364, + 8045 + ], + [ + 6483, + 10282 + ], + [ + 2992, + 7262 + ], + [ + 693, + 6593 + ], + [ + 2183, + 5403 + ], + [ + 3645, + 8581 + ], + [ + 663, + 1466 + ], + [ + 8355, + 8605 + ], + [ + 5356, + 6047 + ], + [ + 3277, + 7596 + ], + [ + 1682, + 10490 + ], + [ + 942, + 10680 + ], + [ + 10276, + 10607 + ], + [ + 697, + 10095 + ], + [ + 7937, + 9785 + ], + [ + 5845, + 6211 + ], + [ + 3303, + 5030 + ], + [ + 1211, + 1456 + ], + [ + 2887, + 3654 + ], + [ + 707, + 3643 + ], + [ + 7804, + 10195 + ], + [ + 3167, + 5923 + ], + [ + 7217, + 10627 + ], + [ + 4734, + 7397 + ], + [ + 3414, + 5800 + ], + [ + 3221, + 6159 + ], + [ + 237, + 11049 + ], + [ + 773, + 11029 + ], + [ + 6840, + 7644 + ], + [ + 2301, + 6159 + ], + [ + 10143, + 10613 + ], + [ + 515, + 3823 + ], + [ + 1540, + 7000 + ], + [ + 5287, + 7731 + ], + [ + 6001, + 7074 + ], + [ + 1646, + 8150 + ], + [ + 7054, + 9293 + ], + [ + 3897, + 5395 + ], + [ + 7236, + 11027 + ], + [ + 7955, + 10714 + ], + [ + 453, + 6328 + ], + [ + 3280, + 3706 + ], + [ + 883, + 5912 + ], + [ + 1812, + 8627 + ], + [ + 7075, + 7137 + ], + [ + 4050, + 5610 + ], + [ + 4554, + 7587 + ], + [ + 5175, + 10149 + ], + [ + 1001, + 3689 + ], + [ + 4521, + 5195 + ], + [ + 1539, + 4496 + ], + [ + 3113, + 7915 + ], + [ + 498, + 2314 + ], + [ + 7204, + 9210 + ], + [ + 4807, + 10662 + ], + [ + 7039, + 10863 + ], + [ + 1150, + 9824 + ], + [ + 6225, + 11289 + ], + [ + 5910, + 9965 + ], + [ + 9327, + 10592 + ], + [ + 5230, + 10206 + ], + [ + 9803, + 10521 + ], + [ + 467, + 9767 + ], + [ + 1238, + 9644 + ], + [ + 5541, + 7624 + ], + [ + 3850, + 4394 + ], + [ + 1270, + 7647 + ], + [ + 9668, + 10104 + ], + [ + 7529, + 10848 + ], + [ + 3642, + 7828 + ], + [ + 1426, + 5908 + ], + [ + 4153, + 5334 + ], + [ + 2630, + 4132 + ], + [ + 3168, + 11355 + ], + [ + 8643, + 10310 + ], + [ + 1324, + 1467 + ], + [ + 3588, + 10251 + ], + [ + 1048, + 5733 + ], + [ + 7928, + 11496 + ], + [ + 137, + 3597 + ], + [ + 140, + 7278 + ], + [ + 3932, + 7028 + ], + [ + 317, + 8668 + ], + [ + 6172, + 7090 + ], + [ + 392, + 7499 + ], + [ + 222, + 9562 + ], + [ + 470, + 2494 + ], + [ + 9930, + 10639 + ], + [ + 1907, + 8059 + ], + [ + 940, + 4860 + ], + [ + 1528, + 11446 + ], + [ + 8880, + 9849 + ], + [ + 8971, + 9967 + ], + [ + 8250, + 9453 + ], + [ + 2144, + 7248 + ], + [ + 3332, + 5693 + ], + [ + 6472, + 6978 + ], + [ + 6095, + 11192 + ], + [ + 4538, + 4744 + ], + [ + 1468, + 8362 + ], + [ + 6626, + 10828 + ], + [ + 2462, + 9220 + ], + [ + 8897, + 10203 + ], + [ + 2791, + 7998 + ], + [ + 3724, + 5170 + ], + [ + 2354, + 11380 + ], + [ + 2390, + 11037 + ], + [ + 169, + 4609 + ], + [ + 2538, + 7525 + ], + [ + 2424, + 9867 + ], + [ + 7993, + 8457 + ], + [ + 2100, + 7299 + ], + [ + 5426, + 5556 + ], + [ + 5441, + 6588 + ], + [ + 1764, + 5098 + ], + [ + 4814, + 9873 + ], + [ + 879, + 6812 + ], + [ + 2372, + 11555 + ], + [ + 908, + 5298 + ], + [ + 4863, + 6732 + ], + [ + 5699, + 7004 + ], + [ + 5822, + 11541 + ], + [ + 280, + 11364 + ], + [ + 1431, + 4292 + ], + [ + 6658, + 9561 + ], + [ + 6100, + 10731 + ], + [ + 2024, + 4806 + ], + [ + 7471, + 8129 + ], + [ + 5014, + 10284 + ], + [ + 6186, + 10505 + ], + [ + 3978, + 8446 + ], + [ + 210, + 7592 + ], + [ + 10956, + 11334 + ], + [ + 834, + 9671 + ], + [ + 7152, + 10069 + ], + [ + 2452, + 11110 + ], + [ + 4837, + 7389 + ], + [ + 4998, + 8246 + ], + [ + 4437, + 9899 + ], + [ + 1421, + 3954 + ], + [ + 1202, + 11006 + ], + [ + 2565, + 8543 + ], + [ + 1792, + 8593 + ], + [ + 3072, + 3621 + ], + [ + 1227, + 6340 + ], + [ + 1514, + 9780 + ], + [ + 831, + 6340 + ], + [ + 4745, + 11183 + ], + [ + 4205, + 6516 + ], + [ + 1780, + 10838 + ], + [ + 2093, + 9837 + ], + [ + 8024, + 8843 + ], + [ + 4579, + 6168 + ], + [ + 8689, + 10923 + ], + [ + 3049, + 3795 + ], + [ + 6383, + 6831 + ], + [ + 1149, + 6807 + ], + [ + 3673, + 4376 + ], + [ + 3857, + 6183 + ], + [ + 405, + 9507 + ], + [ + 271, + 6309 + ], + [ + 1929, + 7147 + ], + [ + 2149, + 9365 + ], + [ + 3983, + 8739 + ], + [ + 810, + 10724 + ], + [ + 1545, + 3774 + ], + [ + 10393, + 11355 + ], + [ + 3418, + 6486 + ], + [ + 2013, + 9477 + ], + [ + 5748, + 6441 + ], + [ + 3382, + 3796 + ], + [ + 2754, + 4227 + ], + [ + 569, + 3872 + ], + [ + 6364, + 7878 + ], + [ + 227, + 4108 + ], + [ + 3033, + 7025 + ], + [ + 1940, + 11069 + ], + [ + 593, + 1233 + ], + [ + 131, + 7029 + ], + [ + 4551, + 6348 + ], + [ + 8097, + 9829 + ], + [ + 1101, + 10499 + ], + [ + 664, + 9744 + ], + [ + 225, + 248 + ], + [ + 6885, + 10209 + ], + [ + 9835, + 11370 + ], + [ + 4143, + 8216 + ], + [ + 5559, + 8797 + ], + [ + 8210, + 9891 + ], + [ + 6099, + 6267 + ], + [ + 5008, + 11138 + ], + [ + 4471, + 7523 + ], + [ + 2924, + 5173 + ], + [ + 7836, + 11370 + ], + [ + 3409, + 4464 + ], + [ + 6870, + 11025 + ], + [ + 184, + 597 + ], + [ + 3093, + 5921 + ], + [ + 4560, + 9443 + ], + [ + 6547, + 9059 + ], + [ + 1817, + 4596 + ], + [ + 9380, + 9635 + ], + [ + 7515, + 9450 + ], + [ + 5832, + 10245 + ], + [ + 1811, + 11197 + ], + [ + 8574, + 11457 + ], + [ + 5955, + 8366 + ], + [ + 6170, + 10240 + ], + [ + 5368, + 8798 + ], + [ + 692, + 10987 + ], + [ + 10031, + 11258 + ], + [ + 9091, + 9882 + ], + [ + 5514, + 5590 + ], + [ + 6479, + 7962 + ], + [ + 1801, + 3689 + ], + [ + 1551, + 9930 + ], + [ + 2986, + 4869 + ], + [ + 5759, + 11056 + ], + [ + 3514, + 11404 + ], + [ + 718, + 9175 + ], + [ + 9090, + 10411 + ], + [ + 654, + 5218 + ], + [ + 2206, + 4906 + ], + [ + 2142, + 9617 + ], + [ + 523, + 6455 + ], + [ + 3981, + 7083 + ], + [ + 4781, + 7698 + ], + [ + 4663, + 6888 + ], + [ + 155, + 552 + ], + [ + 3684, + 5584 + ], + [ + 7747, + 11247 + ], + [ + 4688, + 7884 + ], + [ + 5247, + 9568 + ], + [ + 10504, + 10515 + ], + [ + 84, + 5223 + ], + [ + 5390, + 9095 + ], + [ + 3194, + 8551 + ], + [ + 3774, + 4696 + ], + [ + 1407, + 8996 + ], + [ + 8561, + 8912 + ], + [ + 4669, + 5548 + ], + [ + 6200, + 11529 + ], + [ + 8096, + 11027 + ], + [ + 3245, + 8489 + ], + [ + 4165, + 11118 + ], + [ + 2090, + 2987 + ], + [ + 10080, + 10345 + ], + [ + 178, + 10900 + ], + [ + 2239, + 2329 + ], + [ + 4288, + 9239 + ], + [ + 492, + 6337 + ], + [ + 8642, + 8692 + ], + [ + 8764, + 9621 + ], + [ + 4662, + 8891 + ], + [ + 2609, + 10907 + ], + [ + 3786, + 11472 + ], + [ + 4413, + 11570 + ], + [ + 4745, + 7613 + ], + [ + 2601, + 3849 + ], + [ + 4800, + 8074 + ], + [ + 5018, + 9465 + ], + [ + 6738, + 11181 + ], + [ + 3257, + 8849 + ], + [ + 2847, + 10671 + ], + [ + 2061, + 3346 + ], + [ + 2348, + 6786 + ], + [ + 2654, + 3860 + ], + [ + 4639, + 9819 + ], + [ + 1898, + 5045 + ], + [ + 5413, + 6207 + ], + [ + 2338, + 5317 + ], + [ + 3528, + 3835 + ], + [ + 1743, + 11523 + ], + [ + 5222, + 6612 + ], + [ + 965, + 4059 + ], + [ + 96, + 1395 + ], + [ + 5605, + 9760 + ], + [ + 491, + 8340 + ], + [ + 1929, + 6960 + ], + [ + 2574, + 8418 + ], + [ + 3887, + 11473 + ], + [ + 3476, + 10441 + ], + [ + 2822, + 11149 + ], + [ + 9382, + 11080 + ], + [ + 5435, + 8009 + ], + [ + 2097, + 7483 + ], + [ + 6216, + 7820 + ], + [ + 1724, + 2771 + ], + [ + 3349, + 7633 + ], + [ + 2, + 1359 + ], + [ + 8136, + 9597 + ], + [ + 3440, + 10380 + ], + [ + 3402, + 7644 + ], + [ + 3842, + 7916 + ], + [ + 4329, + 8034 + ], + [ + 3362, + 4081 + ], + [ + 2551, + 5559 + ], + [ + 1465, + 4358 + ], + [ + 775, + 3911 + ], + [ + 8237, + 8898 + ], + [ + 4073, + 7290 + ], + [ + 1268, + 7227 + ], + [ + 3226, + 8357 + ], + [ + 1242, + 6006 + ], + [ + 4253, + 5945 + ], + [ + 5407, + 11222 + ], + [ + 525, + 7119 + ], + [ + 2915, + 3742 + ], + [ + 5556, + 8312 + ], + [ + 5432, + 5802 + ], + [ + 4389, + 8435 + ], + [ + 10039, + 11363 + ], + [ + 2756, + 9347 + ], + [ + 5490, + 9944 + ], + [ + 2761, + 3275 + ], + [ + 8674, + 11501 + ], + [ + 1071, + 7063 + ], + [ + 8085, + 11106 + ], + [ + 6492, + 9165 + ], + [ + 1759, + 5185 + ], + [ + 5924, + 9647 + ], + [ + 2249, + 4066 + ], + [ + 8663, + 11342 + ], + [ + 5528, + 9647 + ], + [ + 5029, + 5762 + ], + [ + 9036, + 9638 + ], + [ + 8470, + 10947 + ], + [ + 3845, + 4026 + ], + [ + 8230, + 11460 + ], + [ + 156, + 1021 + ], + [ + 948, + 11544 + ], + [ + 351, + 7124 + ], + [ + 3405, + 7891 + ], + [ + 7887, + 8088 + ], + [ + 5738, + 10396 + ], + [ + 1816, + 1905 + ], + [ + 6127, + 10356 + ], + [ + 313, + 7771 + ], + [ + 715, + 3055 + ], + [ + 1339, + 5134 + ], + [ + 4288, + 9857 + ], + [ + 1390, + 8105 + ], + [ + 2740, + 4626 + ], + [ + 854, + 11508 + ], + [ + 1050, + 1998 + ], + [ + 4101, + 10381 + ], + [ + 1297, + 2629 + ], + [ + 3506, + 6788 + ], + [ + 1632, + 11021 + ], + [ + 5092, + 6060 + ], + [ + 295, + 6791 + ], + [ + 4064, + 9001 + ], + [ + 3493, + 5802 + ], + [ + 1909, + 6576 + ], + [ + 6601, + 8303 + ], + [ + 1664, + 10909 + ], + [ + 100, + 8952 + ], + [ + 1989, + 5781 + ], + [ + 9029, + 11045 + ], + [ + 1800, + 2095 + ], + [ + 86, + 7741 + ], + [ + 4657, + 11393 + ], + [ + 4698, + 7230 + ], + [ + 4223, + 8657 + ], + [ + 2490, + 10089 + ], + [ + 10329, + 10862 + ], + [ + 1358, + 8543 + ], + [ + 5845, + 9838 + ], + [ + 8277, + 10070 + ], + [ + 669, + 4534 + ], + [ + 739, + 6027 + ], + [ + 479, + 4410 + ], + [ + 3496, + 5295 + ], + [ + 6303, + 11066 + ], + [ + 2631, + 5756 + ], + [ + 6669, + 8945 + ], + [ + 5117, + 6251 + ], + [ + 3150, + 8041 + ], + [ + 3930, + 4217 + ], + [ + 2655, + 7281 + ], + [ + 779, + 8435 + ], + [ + 4079, + 7723 + ], + [ + 5794, + 9095 + ], + [ + 6909, + 8782 + ], + [ + 2795, + 6537 + ], + [ + 5425, + 6754 + ], + [ + 27, + 3323 + ], + [ + 4591, + 5804 + ], + [ + 6686, + 9649 + ], + [ + 3104, + 4259 + ], + [ + 3298, + 7508 + ], + [ + 7563, + 9922 + ], + [ + 3446, + 8160 + ], + [ + 297, + 10539 + ], + [ + 1973, + 6321 + ], + [ + 4099, + 9479 + ], + [ + 11, + 8455 + ], + [ + 4056, + 5645 + ], + [ + 3063, + 7641 + ], + [ + 1573, + 2415 + ], + [ + 8083, + 9399 + ], + [ + 5994, + 9506 + ], + [ + 9416, + 9723 + ], + [ + 1974, + 6142 + ], + [ + 9658, + 10010 + ], + [ + 4892, + 9300 + ], + [ + 1188, + 5987 + ], + [ + 4308, + 10003 + ], + [ + 6020, + 7694 + ], + [ + 1696, + 3919 + ], + [ + 2335, + 7060 + ], + [ + 3615, + 8504 + ], + [ + 5977, + 7243 + ], + [ + 3551, + 4547 + ], + [ + 8745, + 9676 + ], + [ + 5192, + 9942 + ], + [ + 2559, + 9397 + ], + [ + 3860, + 6056 + ], + [ + 1936, + 10172 + ], + [ + 5609, + 8510 + ], + [ + 4351, + 8545 + ], + [ + 1672, + 5403 + ], + [ + 2606, + 8462 + ], + [ + 4070, + 6051 + ], + [ + 1952, + 7672 + ], + [ + 188, + 9791 + ], + [ + 2821, + 3920 + ], + [ + 7337, + 10117 + ], + [ + 482, + 9514 + ], + [ + 606, + 1444 + ], + [ + 6130, + 10841 + ], + [ + 492, + 4540 + ], + [ + 830, + 10197 + ], + [ + 835, + 4125 + ], + [ + 10281, + 11463 + ], + [ + 7516, + 8547 + ], + [ + 4940, + 9290 + ], + [ + 6430, + 8100 + ], + [ + 7020, + 11349 + ], + [ + 5143, + 8895 + ], + [ + 5055, + 6796 + ], + [ + 6077, + 10456 + ], + [ + 7640, + 8024 + ], + [ + 2036, + 6969 + ], + [ + 2810, + 5609 + ], + [ + 1853, + 7262 + ], + [ + 3181, + 7996 + ], + [ + 2529, + 3869 + ], + [ + 9337, + 9564 + ], + [ + 6381, + 10086 + ], + [ + 1739, + 5470 + ], + [ + 1040, + 1497 + ], + [ + 7848, + 11356 + ], + [ + 3797, + 7181 + ], + [ + 2117, + 8247 + ], + [ + 2829, + 10173 + ], + [ + 2987, + 11513 + ], + [ + 3202, + 9223 + ], + [ + 762, + 8349 + ], + [ + 8642, + 9123 + ], + [ + 9607, + 11495 + ], + [ + 5901, + 6601 + ], + [ + 140, + 5562 + ], + [ + 3787, + 9095 + ], + [ + 1667, + 7637 + ], + [ + 7952, + 11305 + ], + [ + 3100, + 5913 + ], + [ + 4655, + 11534 + ], + [ + 7666, + 11473 + ], + [ + 2717, + 5394 + ], + [ + 411, + 6964 + ], + [ + 8043, + 10642 + ], + [ + 2687, + 6683 + ], + [ + 4211, + 5077 + ], + [ + 3462, + 9685 + ], + [ + 2367, + 10650 + ], + [ + 6596, + 11155 + ], + [ + 9273, + 11218 + ], + [ + 1649, + 8155 + ], + [ + 8115, + 8451 + ], + [ + 873, + 2272 + ], + [ + 2117, + 4059 + ], + [ + 6132, + 9708 + ], + [ + 1488, + 10681 + ], + [ + 8494, + 10699 + ], + [ + 1309, + 2802 + ], + [ + 490, + 5917 + ], + [ + 3728, + 4327 + ], + [ + 7905, + 10304 + ], + [ + 6602, + 11320 + ], + [ + 4909, + 5765 + ], + [ + 4783, + 6592 + ], + [ + 738, + 2986 + ], + [ + 3633, + 10856 + ], + [ + 7182, + 10848 + ], + [ + 6922, + 9231 + ], + [ + 1046, + 4270 + ], + [ + 1080, + 9516 + ], + [ + 1314, + 5024 + ], + [ + 887, + 2705 + ], + [ + 135, + 7796 + ], + [ + 3939, + 9061 + ], + [ + 3429, + 9521 + ], + [ + 918, + 8407 + ], + [ + 536, + 5107 + ], + [ + 1776, + 10158 + ], + [ + 1808, + 8161 + ], + [ + 288, + 4978 + ], + [ + 783, + 9121 + ], + [ + 6755, + 8128 + ], + [ + 4048, + 9354 + ], + [ + 6058, + 6510 + ], + [ + 149, + 11235 + ], + [ + 1214, + 5143 + ], + [ + 1551, + 7946 + ], + [ + 1339, + 9753 + ], + [ + 6523, + 7778 + ], + [ + 8766, + 11521 + ], + [ + 1545, + 3213 + ], + [ + 1144, + 2869 + ], + [ + 1755, + 4743 + ], + [ + 4752, + 6474 + ], + [ + 731, + 1010 + ], + [ + 3540, + 7608 + ], + [ + 8982, + 9833 + ], + [ + 104, + 4295 + ], + [ + 1048, + 5790 + ], + [ + 1284, + 2125 + ], + [ + 7238, + 11106 + ], + [ + 3409, + 11474 + ], + [ + 6453, + 6635 + ], + [ + 9259, + 9552 + ], + [ + 4297, + 11155 + ], + [ + 6568, + 10530 + ], + [ + 931, + 7083 + ], + [ + 4487, + 8246 + ], + [ + 7250, + 10335 + ], + [ + 1951, + 7664 + ], + [ + 3231, + 4944 + ], + [ + 8559, + 11019 + ], + [ + 2520, + 3620 + ], + [ + 814, + 9881 + ], + [ + 2801, + 9497 + ], + [ + 8052, + 8744 + ], + [ + 1584, + 9533 + ], + [ + 1429, + 5458 + ], + [ + 1119, + 6730 + ], + [ + 1114, + 6386 + ], + [ + 2196, + 10097 + ], + [ + 6769, + 10412 + ], + [ + 8214, + 10203 + ], + [ + 1822, + 5160 + ], + [ + 3281, + 4657 + ], + [ + 2128, + 8650 + ], + [ + 4337, + 7147 + ], + [ + 10226, + 10815 + ], + [ + 4878, + 7471 + ], + [ + 9073, + 9146 + ], + [ + 4245, + 7558 + ], + [ + 7015, + 10818 + ], + [ + 1720, + 10518 + ], + [ + 6663, + 9612 + ], + [ + 8756, + 10378 + ], + [ + 5886, + 9920 + ], + [ + 576, + 9312 + ], + [ + 836, + 10205 + ], + [ + 8623, + 10788 + ], + [ + 2183, + 3045 + ], + [ + 5546, + 6065 + ], + [ + 2174, + 5211 + ], + [ + 4395, + 5223 + ], + [ + 10864, + 11452 + ], + [ + 7309, + 10891 + ], + [ + 6252, + 11182 + ], + [ + 1453, + 1664 + ], + [ + 3297, + 5890 + ], + [ + 520, + 8629 + ], + [ + 10769, + 11565 + ], + [ + 6583, + 7000 + ], + [ + 4380, + 6039 + ], + [ + 2606, + 7470 + ], + [ + 7709, + 10983 + ], + [ + 4001, + 9426 + ], + [ + 78, + 10913 + ], + [ + 5957, + 7477 + ], + [ + 4721, + 9715 + ], + [ + 10187, + 10836 + ], + [ + 3416, + 9904 + ], + [ + 1565, + 3009 + ], + [ + 4550, + 7389 + ], + [ + 8142, + 11215 + ], + [ + 1752, + 9251 + ], + [ + 1747, + 8907 + ], + [ + 1972, + 11469 + ], + [ + 1072, + 9492 + ], + [ + 5590, + 9346 + ], + [ + 5182, + 7831 + ], + [ + 1593, + 8440 + ], + [ + 2568, + 11500 + ], + [ + 8170, + 9476 + ], + [ + 1589, + 4534 + ], + [ + 348, + 6428 + ], + [ + 2149, + 9072 + ], + [ + 1865, + 9313 + ], + [ + 1335, + 6869 + ], + [ + 194, + 5961 + ], + [ + 9781, + 10498 + ], + [ + 1586, + 4236 + ], + [ + 7041, + 11584 + ], + [ + 6323, + 9089 + ], + [ + 2116, + 10063 + ], + [ + 5290, + 10932 + ], + [ + 4142, + 9607 + ], + [ + 4003, + 6065 + ], + [ + 3612, + 6409 + ], + [ + 9558, + 10611 + ], + [ + 1836, + 4761 + ], + [ + 699, + 2871 + ], + [ + 2481, + 7717 + ], + [ + 673, + 1650 + ], + [ + 868, + 1337 + ], + [ + 5742, + 11214 + ], + [ + 3944, + 5835 + ], + [ + 6769, + 8802 + ], + [ + 3293, + 10978 + ], + [ + 2292, + 2533 + ], + [ + 3042, + 7195 + ], + [ + 3033, + 10115 + ], + [ + 3064, + 5264 + ], + [ + 3161, + 8580 + ], + [ + 6018, + 7298 + ], + [ + 9803, + 10041 + ], + [ + 4056, + 6426 + ], + [ + 2375, + 4638 + ], + [ + 5270, + 6092 + ], + [ + 3143, + 9879 + ], + [ + 3800, + 7934 + ], + [ + 464, + 2573 + ], + [ + 2021, + 2605 + ], + [ + 3149, + 6661 + ], + [ + 1859, + 2277 + ], + [ + 2392, + 4992 + ], + [ + 2020, + 3134 + ], + [ + 2701, + 5747 + ], + [ + 1710, + 2154 + ], + [ + 5435, + 7098 + ], + [ + 3418, + 8771 + ], + [ + 5376, + 9901 + ], + [ + 2257, + 2323 + ], + [ + 2628, + 11126 + ], + [ + 4842, + 9213 + ], + [ + 2509, + 2544 + ], + [ + 7076, + 8706 + ], + [ + 2969, + 3468 + ], + [ + 7120, + 8978 + ], + [ + 575, + 10109 + ], + [ + 2507, + 2848 + ], + [ + 2658, + 9433 + ], + [ + 662, + 5567 + ], + [ + 7611, + 9215 + ], + [ + 3158, + 7504 + ], + [ + 2660, + 9479 + ], + [ + 1120, + 10582 + ], + [ + 1159, + 9756 + ], + [ + 6471, + 10410 + ], + [ + 5033, + 5374 + ], + [ + 7847, + 8152 + ], + [ + 8473, + 11058 + ], + [ + 746, + 4864 + ], + [ + 4264, + 5543 + ], + [ + 2387, + 3843 + ], + [ + 4981, + 8567 + ], + [ + 4327, + 10029 + ], + [ + 8093, + 8558 + ], + [ + 8704, + 10432 + ], + [ + 299, + 388 + ], + [ + 2146, + 10547 + ], + [ + 6396, + 11175 + ], + [ + 7647, + 8471 + ], + [ + 8894, + 9775 + ], + [ + 4443, + 4727 + ], + [ + 1920, + 8514 + ], + [ + 5908, + 11586 + ], + [ + 2099, + 3561 + ], + [ + 9411, + 11233 + ], + [ + 9349, + 10355 + ], + [ + 5835, + 10549 + ], + [ + 5709, + 7212 + ], + [ + 769, + 6137 + ], + [ + 7142, + 9652 + ], + [ + 7166, + 10046 + ], + [ + 2536, + 7699 + ], + [ + 550, + 10937 + ], + [ + 7355, + 10699 + ], + [ + 4246, + 4563 + ], + [ + 734, + 7082 + ], + [ + 3468, + 7679 + ], + [ + 1314, + 3227 + ], + [ + 825, + 6446 + ], + [ + 3089, + 4650 + ], + [ + 4615, + 5369 + ], + [ + 2748, + 4357 + ], + [ + 4804, + 6022 + ], + [ + 6199, + 7978 + ], + [ + 7446, + 10036 + ], + [ + 631, + 2416 + ], + [ + 495, + 9725 + ], + [ + 3862, + 10989 + ], + [ + 5610, + 8337 + ], + [ + 10713, + 11096 + ], + [ + 2459, + 7637 + ], + [ + 3551, + 9784 + ], + [ + 177, + 8103 + ], + [ + 6061, + 11427 + ], + [ + 5753, + 7110 + ], + [ + 5814, + 8517 + ], + [ + 6438, + 10596 + ], + [ + 1944, + 2468 + ], + [ + 4094, + 9430 + ], + [ + 9133, + 11238 + ], + [ + 4804, + 11283 + ], + [ + 9167, + 10068 + ], + [ + 574, + 4891 + ], + [ + 3524, + 6806 + ], + [ + 6485, + 6628 + ], + [ + 1128, + 5450 + ], + [ + 1974, + 10574 + ], + [ + 11029, + 11086 + ], + [ + 1535, + 7494 + ], + [ + 5881, + 8584 + ], + [ + 5413, + 6264 + ], + [ + 3556, + 5940 + ], + [ + 1643, + 4583 + ], + [ + 2367, + 3860 + ], + [ + 4851, + 10698 + ], + [ + 3426, + 10031 + ], + [ + 2428, + 5267 + ], + [ + 2, + 2571 + ], + [ + 1621, + 3481 + ], + [ + 1156, + 7848 + ], + [ + 1553, + 11456 + ], + [ + 5450, + 8748 + ], + [ + 3139, + 9974 + ], + [ + 7626, + 11269 + ], + [ + 1773, + 7258 + ], + [ + 2109, + 5672 + ], + [ + 43, + 1067 + ], + [ + 9297, + 9336 + ], + [ + 2289, + 4327 + ], + [ + 3032, + 8572 + ], + [ + 7149, + 8082 + ], + [ + 7426, + 10834 + ], + [ + 1067, + 4019 + ], + [ + 3596, + 4184 + ], + [ + 6235, + 7927 + ], + [ + 6701, + 7168 + ], + [ + 5023, + 9061 + ], + [ + 7108, + 11464 + ], + [ + 10500, + 11472 + ], + [ + 1097, + 9496 + ], + [ + 1622, + 5934 + ], + [ + 92, + 3561 + ], + [ + 6547, + 10084 + ], + [ + 5205, + 5510 + ], + [ + 4517, + 10771 + ], + [ + 5033, + 9375 + ], + [ + 3324, + 11201 + ], + [ + 585, + 3844 + ], + [ + 2852, + 5729 + ], + [ + 5780, + 9575 + ], + [ + 1919, + 5524 + ], + [ + 6714, + 11136 + ], + [ + 984, + 4492 + ], + [ + 1104, + 9512 + ], + [ + 4434, + 10894 + ], + [ + 7832, + 11471 + ], + [ + 7450, + 10423 + ], + [ + 6044, + 8308 + ], + [ + 1964, + 11309 + ], + [ + 1974, + 5581 + ], + [ + 7108, + 10659 + ], + [ + 4078, + 6536 + ], + [ + 228, + 6027 + ], + [ + 1405, + 6592 + ], + [ + 2895, + 5402 + ], + [ + 3485, + 8651 + ], + [ + 3715, + 11557 + ], + [ + 279, + 2582 + ], + [ + 1770, + 4246 + ], + [ + 5159, + 6989 + ], + [ + 2397, + 10760 + ], + [ + 4823, + 7040 + ], + [ + 212, + 3989 + ], + [ + 7686, + 10491 + ], + [ + 5532, + 6039 + ], + [ + 1340, + 8799 + ], + [ + 9886, + 11154 + ], + [ + 304, + 6961 + ], + [ + 3948, + 4561 + ], + [ + 4789, + 5177 + ], + [ + 3658, + 6485 + ], + [ + 4152, + 7774 + ], + [ + 2849, + 8790 + ], + [ + 256, + 504 + ], + [ + 8385, + 10650 + ], + [ + 2093, + 3559 + ], + [ + 4434, + 10089 + ], + [ + 1132, + 9974 + ], + [ + 798, + 4436 + ], + [ + 2009, + 10247 + ], + [ + 228, + 8255 + ], + [ + 6205, + 8360 + ], + [ + 2246, + 9436 + ], + [ + 8655, + 9198 + ], + [ + 4639, + 10494 + ], + [ + 2156, + 10674 + ], + [ + 2779, + 3483 + ], + [ + 4931, + 7862 + ], + [ + 10521, + 10739 + ], + [ + 321, + 7665 + ], + [ + 4268, + 11490 + ], + [ + 846, + 4103 + ], + [ + 510, + 4154 + ], + [ + 7596, + 9793 + ], + [ + 8401, + 8500 + ], + [ + 2894, + 4345 + ], + [ + 6361, + 8499 + ], + [ + 1519, + 3041 + ], + [ + 7768, + 7806 + ], + [ + 7277, + 7946 + ], + [ + 2203, + 3673 + ], + [ + 3132, + 6388 + ], + [ + 10193, + 10277 + ], + [ + 83, + 4467 + ], + [ + 4871, + 6656 + ], + [ + 6639, + 6908 + ], + [ + 6427, + 8715 + ], + [ + 9512, + 11047 + ], + [ + 3996, + 5675 + ], + [ + 5701, + 6359 + ], + [ + 2401, + 2907 + ], + [ + 267, + 3995 + ], + [ + 6387, + 10070 + ], + [ + 1694, + 1702 + ], + [ + 6394, + 10460 + ], + [ + 4861, + 7816 + ], + [ + 7134, + 8018 + ], + [ + 369, + 515 + ], + [ + 3918, + 6923 + ], + [ + 3305, + 8386 + ], + [ + 9807, + 11345 + ], + [ + 523, + 4365 + ], + [ + 906, + 9765 + ], + [ + 4538, + 5850 + ], + [ + 5909, + 9664 + ], + [ + 6012, + 10543 + ], + [ + 4039, + 8381 + ], + [ + 1702, + 4976 + ], + [ + 1650, + 4786 + ], + [ + 7534, + 8110 + ], + [ + 1242, + 6681 + ], + [ + 3534, + 6933 + ], + [ + 1305, + 11167 + ], + [ + 4698, + 6482 + ], + [ + 5128, + 6066 + ], + [ + 2516, + 10562 + ], + [ + 427, + 10669 + ], + [ + 4653, + 6739 + ], + [ + 2817, + 7292 + ], + [ + 279, + 4355 + ], + [ + 4620, + 5101 + ], + [ + 5991, + 8161 + ], + [ + 798, + 2476 + ], + [ + 9667, + 10180 + ], + [ + 5627, + 11082 + ], + [ + 4156, + 10070 + ], + [ + 1236, + 6085 + ], + [ + 4462, + 7144 + ], + [ + 195, + 3903 + ], + [ + 819, + 6736 + ], + [ + 4396, + 8776 + ], + [ + 2434, + 4494 + ], + [ + 9280, + 10673 + ], + [ + 8934, + 10036 + ], + [ + 5592, + 11246 + ], + [ + 5274, + 6241 + ], + [ + 1723, + 2416 + ], + [ + 6950, + 7685 + ], + [ + 3312, + 7621 + ], + [ + 1404, + 10772 + ], + [ + 6973, + 8608 + ], + [ + 3745, + 4470 + ], + [ + 837, + 1276 + ], + [ + 7, + 11372 + ], + [ + 3481, + 6117 + ], + [ + 8240, + 9066 + ], + [ + 2708, + 9577 + ], + [ + 5731, + 11031 + ], + [ + 1059, + 9956 + ], + [ + 397, + 977 + ], + [ + 627, + 10299 + ], + [ + 4615, + 6955 + ], + [ + 992, + 2318 + ], + [ + 3519, + 5820 + ], + [ + 1953, + 7954 + ], + [ + 10053, + 10192 + ], + [ + 4727, + 11333 + ], + [ + 1914, + 4993 + ], + [ + 4007, + 5759 + ], + [ + 4308, + 8905 + ], + [ + 5094, + 9814 + ], + [ + 9541, + 10956 + ], + [ + 1418, + 11178 + ], + [ + 8846, + 10165 + ], + [ + 5210, + 10928 + ], + [ + 831, + 7446 + ], + [ + 5707, + 10980 + ], + [ + 5, + 722 + ], + [ + 7485, + 10422 + ], + [ + 2519, + 8900 + ], + [ + 5201, + 10061 + ], + [ + 717, + 2621 + ], + [ + 664, + 8622 + ], + [ + 1316, + 7087 + ], + [ + 437, + 2981 + ], + [ + 3014, + 5846 + ], + [ + 402, + 4680 + ], + [ + 3289, + 8525 + ], + [ + 6807, + 9204 + ], + [ + 2493, + 11035 + ], + [ + 678, + 9459 + ], + [ + 900, + 8340 + ], + [ + 4320, + 6232 + ], + [ + 777, + 9438 + ], + [ + 6563, + 9975 + ], + [ + 5092, + 8963 + ], + [ + 2783, + 6852 + ], + [ + 2659, + 5096 + ], + [ + 8168, + 9297 + ], + [ + 4996, + 5468 + ], + [ + 2506, + 7483 + ], + [ + 6833, + 8523 + ], + [ + 6107, + 7665 + ], + [ + 6485, + 7059 + ], + [ + 3809, + 9850 + ], + [ + 1096, + 1462 + ], + [ + 5553, + 9708 + ], + [ + 3808, + 10379 + ], + [ + 4608, + 7988 + ], + [ + 1220, + 8853 + ], + [ + 848, + 6995 + ], + [ + 965, + 1164 + ], + [ + 4726, + 5765 + ], + [ + 2062, + 10825 + ], + [ + 4887, + 10786 + ], + [ + 6938, + 7943 + ], + [ + 2112, + 3772 + ], + [ + 121, + 10049 + ], + [ + 1494, + 8274 + ], + [ + 1212, + 9342 + ], + [ + 3579, + 10677 + ], + [ + 1462, + 8736 + ], + [ + 4007, + 7182 + ], + [ + 1454, + 2459 + ], + [ + 8703, + 11280 + ], + [ + 949, + 1011 + ], + [ + 5181, + 6695 + ], + [ + 5745, + 9477 + ], + [ + 8828, + 10228 + ], + [ + 6498, + 7240 + ], + [ + 3815, + 7362 + ], + [ + 4462, + 4729 + ], + [ + 7848, + 9453 + ], + [ + 1134, + 3393 + ], + [ + 2679, + 8326 + ], + [ + 4771, + 5484 + ], + [ + 2933, + 2958 + ], + [ + 1935, + 4610 + ], + [ + 815, + 4579 + ], + [ + 4995, + 10827 + ], + [ + 1695, + 11539 + ], + [ + 9375, + 10747 + ], + [ + 1777, + 6653 + ], + [ + 5082, + 7039 + ], + [ + 1248, + 7063 + ], + [ + 1358, + 4225 + ], + [ + 4966, + 8584 + ], + [ + 2515, + 7521 + ], + [ + 3389, + 4113 + ], + [ + 780, + 8126 + ], + [ + 3843, + 7501 + ], + [ + 700, + 5164 + ], + [ + 3069, + 8080 + ], + [ + 1670, + 2218 + ], + [ + 3437, + 6032 + ], + [ + 1229, + 8891 + ], + [ + 4723, + 11428 + ], + [ + 4835, + 5253 + ], + [ + 10103, + 10523 + ], + [ + 1946, + 7751 + ], + [ + 10908, + 11482 + ], + [ + 2719, + 6920 + ], + [ + 6022, + 9889 + ], + [ + 3894, + 4406 + ], + [ + 6010, + 6122 + ], + [ + 7324, + 9402 + ], + [ + 2501, + 8912 + ], + [ + 724, + 4410 + ], + [ + 1589, + 9584 + ], + [ + 1711, + 10513 + ], + [ + 3919, + 9539 + ], + [ + 674, + 3542 + ], + [ + 7817, + 9685 + ], + [ + 1993, + 10576 + ], + [ + 3700, + 3759 + ], + [ + 2486, + 8230 + ], + [ + 3611, + 8605 + ], + [ + 6849, + 7015 + ], + [ + 4196, + 5094 + ], + [ + 2883, + 4668 + ], + [ + 7457, + 7837 + ], + [ + 4506, + 8703 + ], + [ + 1887, + 6366 + ], + [ + 2016, + 2050 + ], + [ + 2969, + 9323 + ], + [ + 7415, + 8365 + ], + [ + 173, + 5596 + ], + [ + 6458, + 10018 + ], + [ + 551, + 11406 + ], + [ + 3999, + 10592 + ], + [ + 4176, + 8949 + ], + [ + 3708, + 6629 + ], + [ + 7701, + 10799 + ], + [ + 757, + 5997 + ], + [ + 962, + 2265 + ], + [ + 6943, + 8905 + ], + [ + 2557, + 9170 + ], + [ + 1800, + 2583 + ], + [ + 8814, + 10790 + ], + [ + 8864, + 10153 + ], + [ + 906, + 7968 + ], + [ + 459, + 863 + ], + [ + 1053, + 11401 + ], + [ + 3637, + 9021 + ], + [ + 917, + 5124 + ], + [ + 7830, + 9115 + ], + [ + 1354, + 5879 + ], + [ + 1973, + 7614 + ], + [ + 10269, + 10518 + ], + [ + 2573, + 11551 + ], + [ + 2163, + 6957 + ], + [ + 984, + 9729 + ], + [ + 1297, + 8728 + ], + [ + 6059, + 11194 + ], + [ + 8674, + 10379 + ], + [ + 2523, + 8431 + ], + [ + 2882, + 10027 + ], + [ + 296, + 9328 + ], + [ + 1222, + 6110 + ], + [ + 2789, + 6830 + ], + [ + 4563, + 5399 + ], + [ + 2309, + 3749 + ], + [ + 3926, + 11002 + ], + [ + 1538, + 1620 + ], + [ + 5896, + 6477 + ], + [ + 3399, + 11485 + ], + [ + 9748, + 11196 + ], + [ + 694, + 7122 + ], + [ + 5699, + 9346 + ], + [ + 1841, + 11228 + ], + [ + 2519, + 7908 + ], + [ + 6827, + 6986 + ], + [ + 4728, + 6405 + ], + [ + 2907, + 7990 + ], + [ + 5388, + 8895 + ], + [ + 7000, + 8634 + ], + [ + 9302, + 9574 + ], + [ + 7151, + 8803 + ], + [ + 934, + 9211 + ], + [ + 3702, + 9392 + ], + [ + 527, + 8298 + ], + [ + 331, + 4976 + ], + [ + 6215, + 8300 + ], + [ + 1922, + 3838 + ], + [ + 9110, + 9754 + ], + [ + 5958, + 6200 + ], + [ + 2697, + 10223 + ], + [ + 3062, + 8658 + ], + [ + 5240, + 7088 + ], + [ + 1699, + 4705 + ], + [ + 720, + 4155 + ], + [ + 8536, + 9640 + ], + [ + 1282, + 5356 + ], + [ + 6361, + 8475 + ], + [ + 4742, + 6811 + ], + [ + 1526, + 5716 + ], + [ + 8876, + 9708 + ], + [ + 4979, + 6000 + ], + [ + 435, + 4925 + ], + [ + 2613, + 3355 + ], + [ + 1993, + 7811 + ], + [ + 4049, + 5312 + ], + [ + 3216, + 5311 + ], + [ + 1777, + 6466 + ], + [ + 407, + 6260 + ], + [ + 4224, + 7006 + ], + [ + 1889, + 10090 + ], + [ + 2585, + 8073 + ], + [ + 5788, + 8182 + ], + [ + 1980, + 3011 + ], + [ + 6059, + 6201 + ], + [ + 3277, + 8596 + ], + [ + 2514, + 6328 + ], + [ + 14, + 5403 + ], + [ + 4520, + 10158 + ], + [ + 2722, + 7031 + ], + [ + 1264, + 11142 + ], + [ + 509, + 5382 + ], + [ + 30, + 9319 + ], + [ + 2533, + 7509 + ], + [ + 3715, + 8418 + ], + [ + 5764, + 9666 + ], + [ + 845, + 2298 + ], + [ + 3988, + 10270 + ], + [ + 4580, + 7930 + ], + [ + 3905, + 8515 + ], + [ + 3800, + 10219 + ], + [ + 2551, + 8088 + ], + [ + 723, + 6250 + ], + [ + 1590, + 5835 + ], + [ + 1831, + 8930 + ], + [ + 3212, + 7016 + ], + [ + 34, + 8657 + ], + [ + 10020, + 10459 + ], + [ + 8908, + 11043 + ], + [ + 5622, + 9209 + ], + [ + 8376, + 11182 + ], + [ + 3261, + 6908 + ], + [ + 4226, + 9280 + ], + [ + 4296, + 8521 + ], + [ + 9790, + 10936 + ], + [ + 4726, + 7351 + ], + [ + 3136, + 4927 + ], + [ + 9488, + 10571 + ], + [ + 1357, + 6014 + ], + [ + 2475, + 9382 + ], + [ + 1456, + 10157 + ], + [ + 2326, + 2843 + ], + [ + 3320, + 10871 + ], + [ + 2040, + 6421 + ], + [ + 4829, + 7479 + ], + [ + 948, + 7657 + ], + [ + 788, + 10408 + ], + [ + 1853, + 3562 + ], + [ + 7758, + 7763 + ], + [ + 6913, + 10411 + ], + [ + 2938, + 10954 + ], + [ + 2372, + 8099 + ], + [ + 7508, + 7588 + ], + [ + 4428, + 9764 + ], + [ + 1372, + 6672 + ], + [ + 7700, + 7758 + ], + [ + 2399, + 10676 + ], + [ + 6566, + 9549 + ], + [ + 3514, + 3947 + ], + [ + 2681, + 3192 + ], + [ + 1774, + 10624 + ], + [ + 7412, + 10509 + ], + [ + 6949, + 9287 + ], + [ + 6951, + 10114 + ], + [ + 2115, + 4501 + ], + [ + 4299, + 4631 + ], + [ + 2021, + 4085 + ], + [ + 3118, + 6576 + ], + [ + 1731, + 4511 + ], + [ + 4485, + 7238 + ], + [ + 304, + 9433 + ], + [ + 6027, + 6238 + ], + [ + 7222, + 11516 + ], + [ + 3767, + 10405 + ], + [ + 3891, + 6499 + ], + [ + 4660, + 11211 + ], + [ + 393, + 2308 + ], + [ + 6031, + 6357 + ], + [ + 3321, + 3902 + ], + [ + 9829, + 10059 + ], + [ + 2355, + 3557 + ], + [ + 4933, + 7778 + ], + [ + 7584, + 8872 + ], + [ + 7362, + 9991 + ], + [ + 230, + 7390 + ], + [ + 1321, + 6683 + ], + [ + 693, + 2950 + ], + [ + 5830, + 10955 + ], + [ + 8913, + 10208 + ], + [ + 4274, + 11525 + ], + [ + 1062, + 1504 + ], + [ + 4800, + 11571 + ], + [ + 103, + 2330 + ], + [ + 3432, + 7274 + ], + [ + 3189, + 7516 + ], + [ + 4175, + 5103 + ], + [ + 7726, + 8174 + ], + [ + 2709, + 4435 + ], + [ + 6296, + 7163 + ], + [ + 2712, + 8116 + ], + [ + 4238, + 8835 + ], + [ + 2185, + 8599 + ], + [ + 0, + 4834 + ], + [ + 3554, + 11586 + ], + [ + 9841, + 10419 + ], + [ + 2709, + 7818 + ], + [ + 4147, + 6438 + ], + [ + 1652, + 5103 + ], + [ + 3923, + 4478 + ], + [ + 4258, + 7208 + ], + [ + 2329, + 10980 + ], + [ + 734, + 8212 + ], + [ + 4634, + 9185 + ], + [ + 59, + 2381 + ], + [ + 3111, + 7983 + ], + [ + 5809, + 9677 + ], + [ + 5936, + 8698 + ], + [ + 5313, + 9473 + ], + [ + 2940, + 5657 + ], + [ + 3136, + 3317 + ], + [ + 8292, + 9874 + ], + [ + 3249, + 7166 + ], + [ + 7335, + 11527 + ], + [ + 5088, + 10294 + ], + [ + 2320, + 3697 + ], + [ + 1379, + 5883 + ], + [ + 7450, + 11285 + ], + [ + 4145, + 5237 + ], + [ + 3840, + 4601 + ], + [ + 8788, + 10455 + ], + [ + 7796, + 8889 + ], + [ + 1812, + 8367 + ], + [ + 4300, + 5525 + ], + [ + 1559, + 7921 + ], + [ + 6851, + 7169 + ], + [ + 3248, + 3908 + ], + [ + 4493, + 9303 + ], + [ + 1902, + 8260 + ], + [ + 7287, + 10705 + ], + [ + 1989, + 10888 + ], + [ + 399, + 7710 + ], + [ + 682, + 7998 + ], + [ + 2824, + 10935 + ], + [ + 5697, + 8658 + ], + [ + 10707, + 11226 + ], + [ + 5695, + 7831 + ], + [ + 8393, + 9525 + ], + [ + 1141, + 6068 + ], + [ + 2794, + 8814 + ], + [ + 1152, + 9610 + ], + [ + 8929, + 9505 + ], + [ + 5409, + 5747 + ], + [ + 4251, + 5232 + ], + [ + 207, + 7890 + ], + [ + 2607, + 10119 + ], + [ + 2380, + 6730 + ], + [ + 4133, + 10838 + ], + [ + 9360, + 9691 + ], + [ + 7680, + 10003 + ], + [ + 3786, + 9976 + ], + [ + 768, + 9620 + ], + [ + 3385, + 9632 + ], + [ + 10713, + 11421 + ], + [ + 200, + 10102 + ], + [ + 792, + 1346 + ], + [ + 2495, + 7619 + ], + [ + 2371, + 5863 + ], + [ + 3525, + 11140 + ], + [ + 316, + 4800 + ], + [ + 7640, + 8325 + ], + [ + 4025, + 9211 + ], + [ + 1881, + 9611 + ], + [ + 7822, + 9305 + ], + [ + 9030, + 9183 + ], + [ + 9095, + 10332 + ], + [ + 6504, + 9289 + ], + [ + 1975, + 9246 + ], + [ + 664, + 5483 + ], + [ + 8071, + 10763 + ], + [ + 4666, + 6763 + ], + [ + 1219, + 4015 + ], + [ + 5826, + 9576 + ], + [ + 8271, + 10070 + ], + [ + 2120, + 2430 + ], + [ + 380, + 2691 + ], + [ + 5748, + 7441 + ], + [ + 612, + 7952 + ], + [ + 2676, + 10232 + ], + [ + 1962, + 4473 + ], + [ + 744, + 1655 + ], + [ + 6528, + 7781 + ], + [ + 609, + 7654 + ], + [ + 2298, + 7805 + ], + [ + 2477, + 5858 + ], + [ + 3105, + 3175 + ], + [ + 5195, + 5922 + ], + [ + 1831, + 9093 + ], + [ + 7665, + 8166 + ], + [ + 3470, + 7245 + ], + [ + 4088, + 9509 + ], + [ + 5837, + 9711 + ], + [ + 2401, + 7152 + ], + [ + 1651, + 5900 + ], + [ + 2117, + 7393 + ], + [ + 1035, + 7065 + ], + [ + 6472, + 8946 + ], + [ + 3664, + 3704 + ], + [ + 4267, + 4906 + ], + [ + 674, + 8779 + ], + [ + 5526, + 7755 + ], + [ + 3478, + 10115 + ], + [ + 3388, + 4937 + ], + [ + 1761, + 9047 + ], + [ + 6891, + 10219 + ], + [ + 10096, + 11155 + ], + [ + 755, + 10057 + ], + [ + 5278, + 10255 + ], + [ + 4683, + 6662 + ], + [ + 414, + 9764 + ], + [ + 6271, + 9013 + ], + [ + 7757, + 10333 + ], + [ + 4995, + 7688 + ], + [ + 1103, + 10740 + ], + [ + 3056, + 4356 + ], + [ + 969, + 1126 + ], + [ + 4709, + 11266 + ], + [ + 2588, + 2790 + ], + [ + 3341, + 7723 + ], + [ + 1470, + 9221 + ], + [ + 1840, + 8000 + ], + [ + 4204, + 9818 + ], + [ + 2179, + 7466 + ], + [ + 4300, + 9526 + ], + [ + 3989, + 5692 + ], + [ + 3576, + 3833 + ], + [ + 6731, + 6904 + ], + [ + 431, + 1450 + ], + [ + 525, + 7501 + ], + [ + 4243, + 8992 + ], + [ + 1177, + 8595 + ], + [ + 4356, + 9808 + ], + [ + 8449, + 10452 + ], + [ + 148, + 4895 + ], + [ + 6302, + 6390 + ], + [ + 8019, + 8589 + ], + [ + 1764, + 6261 + ], + [ + 943, + 8549 + ], + [ + 5120, + 8864 + ], + [ + 1637, + 3453 + ], + [ + 1778, + 9350 + ], + [ + 9715, + 10658 + ], + [ + 9873, + 11244 + ], + [ + 4026, + 7021 + ], + [ + 9124, + 9436 + ], + [ + 2281, + 4686 + ], + [ + 7012, + 7839 + ], + [ + 9464, + 10258 + ], + [ + 495, + 4602 + ], + [ + 4703, + 10646 + ], + [ + 3584, + 7053 + ], + [ + 6748, + 9486 + ], + [ + 7622, + 10242 + ], + [ + 182, + 9740 + ], + [ + 4850, + 6909 + ], + [ + 3604, + 10711 + ], + [ + 467, + 5937 + ], + [ + 1184, + 8961 + ], + [ + 9525, + 10130 + ], + [ + 1425, + 5640 + ], + [ + 1151, + 6569 + ], + [ + 3603, + 4070 + ], + [ + 1649, + 10229 + ], + [ + 3846, + 7211 + ], + [ + 2910, + 3325 + ], + [ + 1268, + 10537 + ], + [ + 5093, + 6263 + ], + [ + 7584, + 10108 + ], + [ + 958, + 9557 + ], + [ + 8169, + 10761 + ], + [ + 1955, + 10686 + ], + [ + 8176, + 11151 + ], + [ + 3713, + 11004 + ], + [ + 855, + 5645 + ], + [ + 7197, + 10601 + ], + [ + 908, + 2273 + ], + [ + 1281, + 1323 + ], + [ + 5986, + 7419 + ], + [ + 4234, + 6919 + ], + [ + 3021, + 3691 + ], + [ + 1026, + 9849 + ], + [ + 1205, + 5650 + ], + [ + 2273, + 9655 + ], + [ + 3487, + 8567 + ], + [ + 4268, + 9132 + ], + [ + 1835, + 9429 + ], + [ + 773, + 8622 + ], + [ + 7707, + 11238 + ], + [ + 1060, + 5646 + ], + [ + 962, + 9275 + ], + [ + 1306, + 2669 + ], + [ + 5130, + 5340 + ], + [ + 2695, + 11226 + ], + [ + 2669, + 5841 + ], + [ + 2791, + 4518 + ], + [ + 2818, + 9347 + ], + [ + 1292, + 1458 + ], + [ + 7016, + 9785 + ], + [ + 2004, + 6390 + ], + [ + 7609, + 11053 + ], + [ + 207, + 10281 + ], + [ + 8820, + 10448 + ], + [ + 1853, + 9604 + ], + [ + 4238, + 5883 + ], + [ + 353, + 3690 + ], + [ + 1564, + 9501 + ], + [ + 692, + 3156 + ], + [ + 4493, + 10539 + ], + [ + 9777, + 9926 + ], + [ + 3208, + 5745 + ], + [ + 2425, + 5107 + ], + [ + 3870, + 4898 + ], + [ + 2708, + 4641 + ], + [ + 1278, + 6636 + ], + [ + 901, + 10096 + ], + [ + 2740, + 9814 + ], + [ + 1532, + 7684 + ], + [ + 2208, + 9953 + ], + [ + 4515, + 8985 + ], + [ + 4575, + 9790 + ], + [ + 7221, + 10540 + ], + [ + 10543, + 11307 + ], + [ + 239, + 2248 + ], + [ + 1928, + 4651 + ], + [ + 5849, + 6501 + ], + [ + 5505, + 6691 + ], + [ + 3980, + 11078 + ], + [ + 1731, + 7520 + ], + [ + 2233, + 8670 + ], + [ + 519, + 1484 + ], + [ + 5434, + 11362 + ], + [ + 3197, + 11571 + ], + [ + 1014, + 1463 + ], + [ + 2466, + 3953 + ], + [ + 2500, + 9199 + ], + [ + 6647, + 10803 + ], + [ + 5081, + 6521 + ], + [ + 3023, + 8193 + ], + [ + 2589, + 5457 + ], + [ + 5512, + 8959 + ], + [ + 7100, + 9058 + ], + [ + 2815, + 10873 + ], + [ + 4357, + 9873 + ], + [ + 6452, + 7302 + ], + [ + 6442, + 6614 + ], + [ + 6884, + 6959 + ], + [ + 2025, + 6812 + ], + [ + 7286, + 10911 + ], + [ + 1302, + 3973 + ], + [ + 3337, + 7013 + ], + [ + 1019, + 7068 + ], + [ + 4257, + 9642 + ], + [ + 4135, + 8713 + ], + [ + 7629, + 11250 + ], + [ + 3423, + 9416 + ], + [ + 2272, + 3656 + ], + [ + 4125, + 7244 + ], + [ + 3796, + 8466 + ], + [ + 1477, + 5667 + ], + [ + 546, + 1371 + ], + [ + 5158, + 8030 + ], + [ + 1507, + 7007 + ], + [ + 47, + 1623 + ], + [ + 544, + 8845 + ], + [ + 6669, + 11100 + ], + [ + 3396, + 7219 + ], + [ + 503, + 11473 + ], + [ + 4204, + 5443 + ], + [ + 6392, + 9479 + ], + [ + 3279, + 9263 + ], + [ + 10464, + 11498 + ], + [ + 717, + 9712 + ], + [ + 2654, + 9211 + ], + [ + 622, + 6442 + ], + [ + 3361, + 7383 + ], + [ + 2671, + 6936 + ], + [ + 7412, + 8525 + ], + [ + 94, + 7454 + ], + [ + 3660, + 10833 + ], + [ + 19, + 11252 + ], + [ + 7066, + 11271 + ], + [ + 5153, + 9914 + ], + [ + 7463, + 8463 + ], + [ + 672, + 3122 + ], + [ + 5677, + 9510 + ], + [ + 1074, + 10484 + ], + [ + 2657, + 6075 + ], + [ + 5375, + 8391 + ], + [ + 1848, + 9878 + ], + [ + 7598, + 10758 + ], + [ + 5547, + 7185 + ], + [ + 1140, + 8071 + ], + [ + 3114, + 3318 + ], + [ + 4773, + 7010 + ], + [ + 635, + 6623 + ], + [ + 5912, + 11255 + ], + [ + 9186, + 9322 + ], + [ + 5268, + 11153 + ], + [ + 1656, + 10058 + ], + [ + 4987, + 8659 + ], + [ + 1305, + 9077 + ], + [ + 123, + 1752 + ], + [ + 2270, + 5033 + ], + [ + 1931, + 5567 + ], + [ + 8180, + 10332 + ], + [ + 5126, + 7313 + ], + [ + 6930, + 7976 + ], + [ + 8020, + 9296 + ], + [ + 4811, + 5208 + ], + [ + 241, + 9328 + ], + [ + 2171, + 8410 + ], + [ + 7496, + 10050 + ], + [ + 2813, + 5433 + ], + [ + 3229, + 4557 + ], + [ + 3659, + 4141 + ], + [ + 1847, + 9252 + ], + [ + 5902, + 7884 + ], + [ + 8162, + 8598 + ], + [ + 7301, + 9959 + ], + [ + 5804, + 9978 + ], + [ + 4111, + 10839 + ], + [ + 595, + 9452 + ], + [ + 590, + 9108 + ], + [ + 6911, + 9023 + ], + [ + 5605, + 9768 + ], + [ + 4121, + 8494 + ], + [ + 3457, + 9268 + ], + [ + 6848, + 7920 + ], + [ + 4926, + 7201 + ], + [ + 1502, + 5403 + ], + [ + 1808, + 8893 + ], + [ + 4516, + 9023 + ], + [ + 92, + 1634 + ], + [ + 594, + 6948 + ], + [ + 10296, + 11243 + ], + [ + 4503, + 7283 + ], + [ + 2887, + 10054 + ], + [ + 4191, + 5476 + ], + [ + 3697, + 9105 + ], + [ + 6037, + 6365 + ], + [ + 3382, + 10033 + ], + [ + 5692, + 8582 + ], + [ + 5004, + 8962 + ], + [ + 1162, + 4961 + ], + [ + 544, + 6080 + ], + [ + 4974, + 6087 + ], + [ + 2174, + 11286 + ], + [ + 7360, + 9384 + ], + [ + 550, + 2862 + ], + [ + 1324, + 2256 + ], + [ + 1103, + 6983 + ], + [ + 763, + 7292 + ], + [ + 2535, + 5034 + ], + [ + 1248, + 6583 + ], + [ + 3892, + 4254 + ], + [ + 4335, + 8207 + ], + [ + 1677, + 5942 + ], + [ + 4633, + 5420 + ], + [ + 7972, + 11052 + ], + [ + 592, + 8349 + ], + [ + 1896, + 10187 + ], + [ + 440, + 8709 + ], + [ + 2575, + 10475 + ], + [ + 1362, + 3837 + ], + [ + 3884, + 6995 + ], + [ + 5513, + 9347 + ], + [ + 2552, + 8771 + ], + [ + 3512, + 11553 + ], + [ + 6879, + 9811 + ], + [ + 1149, + 6173 + ], + [ + 2855, + 9711 + ], + [ + 2972, + 11050 + ], + [ + 2977, + 11394 + ], + [ + 3564, + 8710 + ], + [ + 482, + 10059 + ], + [ + 9663, + 9744 + ], + [ + 5838, + 7602 + ], + [ + 1850, + 3776 + ], + [ + 4152, + 8880 + ], + [ + 545, + 8129 + ], + [ + 5930, + 10574 + ], + [ + 3378, + 8705 + ], + [ + 4684, + 5708 + ], + [ + 396, + 8006 + ], + [ + 4928, + 8320 + ], + [ + 164, + 2021 + ], + [ + 3801, + 11282 + ], + [ + 5793, + 11242 + ], + [ + 6575, + 8245 + ], + [ + 5238, + 9677 + ], + [ + 2588, + 8027 + ], + [ + 1184, + 8237 + ], + [ + 1691, + 9731 + ], + [ + 7623, + 9339 + ], + [ + 6910, + 7188 + ], + [ + 2524, + 7453 + ], + [ + 2729, + 3721 + ], + [ + 1309, + 10568 + ], + [ + 4669, + 9907 + ], + [ + 593, + 3982 + ], + [ + 9397, + 11291 + ], + [ + 4951, + 6587 + ], + [ + 82, + 5752 + ], + [ + 2143, + 7761 + ], + [ + 2081, + 6883 + ], + [ + 923, + 6368 + ], + [ + 2206, + 11493 + ], + [ + 5162, + 6807 + ], + [ + 2360, + 11179 + ], + [ + 2071, + 4660 + ], + [ + 5314, + 8332 + ], + [ + 5157, + 9846 + ], + [ + 1136, + 4382 + ], + [ + 1194, + 1354 + ], + [ + 1287, + 1545 + ], + [ + 8289, + 11243 + ], + [ + 5555, + 7640 + ], + [ + 882, + 3711 + ], + [ + 104, + 3417 + ], + [ + 4742, + 8291 + ], + [ + 1445, + 8520 + ], + [ + 5583, + 8907 + ], + [ + 1618, + 10168 + ], + [ + 3156, + 5986 + ], + [ + 752, + 7021 + ], + [ + 255, + 553 + ], + [ + 7748, + 10515 + ], + [ + 1340, + 7945 + ], + [ + 1190, + 10630 + ], + [ + 1971, + 11195 + ], + [ + 6790, + 8533 + ], + [ + 3803, + 7490 + ], + [ + 8027, + 9149 + ], + [ + 1936, + 5724 + ], + [ + 8560, + 9612 + ], + [ + 463, + 3885 + ], + [ + 3241, + 11170 + ], + [ + 3660, + 9841 + ], + [ + 3598, + 8963 + ], + [ + 1764, + 3927 + ], + [ + 8272, + 9330 + ], + [ + 242, + 5579 + ], + [ + 7988, + 10325 + ], + [ + 5211, + 5894 + ], + [ + 7795, + 9930 + ], + [ + 6344, + 10294 + ], + [ + 8049, + 10978 + ], + [ + 7077, + 7435 + ], + [ + 4568, + 9400 + ], + [ + 3801, + 6289 + ], + [ + 1386, + 7135 + ], + [ + 6138, + 8913 + ], + [ + 3285, + 4652 + ], + [ + 1198, + 1422 + ], + [ + 3028, + 8968 + ], + [ + 595, + 9265 + ], + [ + 4239, + 9117 + ], + [ + 6887, + 8442 + ], + [ + 6161, + 7584 + ], + [ + 9306, + 9967 + ], + [ + 7790, + 9936 + ], + [ + 933, + 9260 + ], + [ + 463, + 6113 + ], + [ + 2424, + 10924 + ], + [ + 6717, + 8970 + ], + [ + 163, + 6575 + ], + [ + 5756, + 6717 + ], + [ + 5623, + 7127 + ], + [ + 2517, + 4672 + ], + [ + 4912, + 5803 + ], + [ + 5779, + 7640 + ], + [ + 4349, + 6629 + ], + [ + 7422, + 7446 + ], + [ + 766, + 10436 + ], + [ + 329, + 4019 + ], + [ + 7330, + 7857 + ], + [ + 4716, + 5110 + ], + [ + 6529, + 10023 + ], + [ + 87, + 7869 + ], + [ + 3447, + 11372 + ], + [ + 390, + 5426 + ], + [ + 8074, + 8540 + ], + [ + 1637, + 6730 + ], + [ + 1270, + 5216 + ], + [ + 881, + 1499 + ], + [ + 2997, + 3215 + ], + [ + 3124, + 5242 + ], + [ + 1417, + 5643 + ], + [ + 5794, + 8298 + ], + [ + 473, + 7531 + ], + [ + 7635, + 11472 + ], + [ + 4633, + 5233 + ], + [ + 1334, + 8799 + ], + [ + 317, + 6237 + ], + [ + 4794, + 6090 + ], + [ + 5444, + 7138 + ], + [ + 965, + 6458 + ], + [ + 1643, + 3892 + ], + [ + 4798, + 6963 + ], + [ + 5975, + 7528 + ], + [ + 7034, + 7283 + ], + [ + 1855, + 4714 + ], + [ + 4105, + 5464 + ], + [ + 3723, + 9334 + ], + [ + 614, + 2444 + ], + [ + 3043, + 9575 + ], + [ + 6558, + 10737 + ], + [ + 460, + 8393 + ], + [ + 2327, + 7153 + ], + [ + 3980, + 9899 + ], + [ + 9969, + 10795 + ], + [ + 9907, + 9917 + ], + [ + 6371, + 7878 + ], + [ + 9005, + 11277 + ], + [ + 4125, + 10253 + ], + [ + 321, + 1818 + ], + [ + 6924, + 11245 + ], + [ + 859, + 9795 + ], + [ + 7268, + 9557 + ], + [ + 9499, + 11031 + ], + [ + 3032, + 4848 + ], + [ + 974, + 10684 + ], + [ + 2779, + 4402 + ], + [ + 2366, + 8959 + ], + [ + 7436, + 9326 + ], + [ + 1966, + 11469 + ], + [ + 4609, + 6286 + ], + [ + 510, + 11489 + ], + [ + 4698, + 11239 + ], + [ + 2364, + 5099 + ], + [ + 6663, + 10507 + ], + [ + 3758, + 7584 + ], + [ + 2359, + 8138 + ], + [ + 4933, + 5070 + ], + [ + 9058, + 10857 + ], + [ + 5524, + 11173 + ], + [ + 8084, + 10651 + ], + [ + 708, + 5438 + ], + [ + 2604, + 4936 + ], + [ + 1076, + 9806 + ], + [ + 3414, + 10403 + ], + [ + 4197, + 7631 + ], + [ + 6051, + 7657 + ], + [ + 1947, + 10264 + ], + [ + 5801, + 6728 + ], + [ + 7877, + 9799 + ], + [ + 2099, + 6871 + ], + [ + 6858, + 9820 + ], + [ + 786, + 7199 + ], + [ + 161, + 7147 + ], + [ + 3896, + 6363 + ], + [ + 2027, + 8688 + ], + [ + 5322, + 7632 + ], + [ + 5788, + 9125 + ], + [ + 4579, + 6770 + ], + [ + 954, + 1306 + ], + [ + 7722, + 8326 + ], + [ + 2555, + 8026 + ], + [ + 6820, + 9686 + ], + [ + 7037, + 8223 + ], + [ + 7317, + 10492 + ], + [ + 1304, + 2816 + ], + [ + 5820, + 8259 + ], + [ + 1667, + 6840 + ], + [ + 6154, + 7381 + ], + [ + 2394, + 10552 + ], + [ + 4314, + 10444 + ], + [ + 7518, + 7772 + ], + [ + 8025, + 9266 + ], + [ + 9644, + 10930 + ], + [ + 4229, + 5610 + ], + [ + 2450, + 6697 + ], + [ + 951, + 10053 + ], + [ + 9612, + 11392 + ], + [ + 757, + 1142 + ], + [ + 8472, + 9204 + ], + [ + 4746, + 11205 + ], + [ + 2252, + 7062 + ], + [ + 1748, + 5085 + ], + [ + 1125, + 5860 + ], + [ + 7293, + 8943 + ], + [ + 7759, + 10436 + ], + [ + 2149, + 8812 + ], + [ + 181, + 578 + ], + [ + 1061, + 7538 + ], + [ + 3668, + 6862 + ], + [ + 1402, + 1415 + ], + [ + 8440, + 10016 + ], + [ + 4013, + 9526 + ], + [ + 4856, + 10969 + ], + [ + 1264, + 1481 + ], + [ + 3726, + 3834 + ], + [ + 3602, + 8494 + ], + [ + 2756, + 6753 + ], + [ + 6122, + 7792 + ], + [ + 3381, + 9434 + ], + [ + 606, + 2420 + ], + [ + 5562, + 5883 + ], + [ + 698, + 5392 + ], + [ + 3752, + 5405 + ], + [ + 7633, + 10862 + ], + [ + 5026, + 9286 + ], + [ + 6801, + 10709 + ], + [ + 1127, + 4751 + ], + [ + 5180, + 6720 + ], + [ + 5553, + 11432 + ], + [ + 5698, + 8403 + ], + [ + 533, + 4012 + ], + [ + 2556, + 5537 + ], + [ + 7824, + 10807 + ], + [ + 5978, + 10672 + ], + [ + 1125, + 1672 + ], + [ + 10840, + 11090 + ], + [ + 3369, + 8269 + ], + [ + 571, + 10131 + ], + [ + 1722, + 9475 + ], + [ + 880, + 10886 + ], + [ + 1742, + 5963 + ], + [ + 3172, + 4722 + ], + [ + 959, + 9489 + ], + [ + 2547, + 4670 + ], + [ + 8131, + 8456 + ], + [ + 7909, + 9575 + ], + [ + 4671, + 4749 + ], + [ + 10510, + 10582 + ], + [ + 5940, + 8286 + ], + [ + 5537, + 7115 + ], + [ + 81, + 5958 + ], + [ + 5127, + 8937 + ], + [ + 5899, + 8635 + ], + [ + 3807, + 4307 + ], + [ + 8352, + 8990 + ], + [ + 2383, + 7248 + ], + [ + 1913, + 4855 + ], + [ + 2969, + 6591 + ], + [ + 168, + 8936 + ], + [ + 1314, + 3772 + ], + [ + 8900, + 10515 + ], + [ + 3836, + 6930 + ], + [ + 7103, + 10242 + ], + [ + 347, + 3202 + ], + [ + 6011, + 9226 + ], + [ + 1553, + 3007 + ], + [ + 6912, + 9893 + ], + [ + 1957, + 7032 + ], + [ + 1315, + 3593 + ], + [ + 8154, + 9355 + ], + [ + 4421, + 10185 + ], + [ + 1678, + 11000 + ], + [ + 367, + 1575 + ], + [ + 5316, + 10283 + ], + [ + 762, + 8520 + ], + [ + 5340, + 9179 + ], + [ + 6623, + 10140 + ], + [ + 2079, + 9065 + ], + [ + 458, + 10738 + ], + [ + 5692, + 6598 + ], + [ + 2103, + 7207 + ], + [ + 1009, + 1981 + ], + [ + 7054, + 10326 + ], + [ + 3183, + 7839 + ], + [ + 7047, + 9155 + ], + [ + 3091, + 8250 + ], + [ + 2375, + 8834 + ], + [ + 6394, + 7809 + ], + [ + 4078, + 8691 + ], + [ + 1188, + 4548 + ], + [ + 4147, + 9959 + ], + [ + 1002, + 1160 + ], + [ + 7716, + 11357 + ], + [ + 10276, + 10835 + ], + [ + 276, + 10101 + ], + [ + 966, + 9050 + ], + [ + 8059, + 10942 + ], + [ + 318, + 7294 + ], + [ + 2238, + 5688 + ], + [ + 1300, + 5139 + ], + [ + 983, + 2988 + ], + [ + 236, + 8423 + ], + [ + 3816, + 9980 + ], + [ + 1646, + 4995 + ], + [ + 4616, + 8343 + ], + [ + 6121, + 8185 + ], + [ + 6329, + 8888 + ], + [ + 6867, + 9695 + ], + [ + 2465, + 10955 + ], + [ + 3965, + 10453 + ], + [ + 4806, + 11069 + ], + [ + 4269, + 10864 + ], + [ + 2037, + 5001 + ], + [ + 1068, + 5139 + ], + [ + 216, + 5862 + ], + [ + 2000, + 5119 + ], + [ + 2308, + 3020 + ], + [ + 6353, + 7380 + ], + [ + 8935, + 10589 + ], + [ + 2235, + 8399 + ], + [ + 1307, + 10790 + ], + [ + 4607, + 7826 + ], + [ + 8872, + 10240 + ], + [ + 7189, + 11035 + ], + [ + 126, + 10483 + ], + [ + 5158, + 11120 + ], + [ + 7455, + 8710 + ], + [ + 4760, + 8041 + ], + [ + 3036, + 8835 + ], + [ + 2320, + 6413 + ], + [ + 1616, + 2096 + ], + [ + 3479, + 6372 + ], + [ + 8295, + 9855 + ], + [ + 796, + 5740 + ], + [ + 6334, + 8427 + ], + [ + 6795, + 9576 + ], + [ + 1578, + 9159 + ], + [ + 2474, + 7230 + ], + [ + 5172, + 8924 + ], + [ + 1438, + 6146 + ], + [ + 8017, + 11015 + ], + [ + 2463, + 2907 + ], + [ + 8746, + 10666 + ], + [ + 5050, + 10624 + ], + [ + 4520, + 7426 + ], + [ + 1311, + 3338 + ], + [ + 4831, + 5598 + ], + [ + 8709, + 10784 + ], + [ + 3203, + 6100 + ], + [ + 1620, + 4847 + ], + [ + 6790, + 9582 + ], + [ + 2872, + 11413 + ], + [ + 4486, + 5563 + ], + [ + 9489, + 11124 + ], + [ + 5263, + 8638 + ], + [ + 5291, + 9905 + ], + [ + 8558, + 10965 + ], + [ + 2046, + 3908 + ], + [ + 6457, + 9557 + ], + [ + 8077, + 9911 + ], + [ + 7120, + 11564 + ], + [ + 1917, + 10853 + ], + [ + 7051, + 7263 + ], + [ + 2039, + 3868 + ], + [ + 9690, + 11006 + ], + [ + 3289, + 9607 + ], + [ + 7521, + 8875 + ], + [ + 1188, + 8199 + ], + [ + 8352, + 8803 + ], + [ + 2400, + 4032 + ], + [ + 636, + 10315 + ], + [ + 3179, + 7934 + ], + [ + 4648, + 8119 + ], + [ + 2926, + 3324 + ], + [ + 4545, + 4988 + ], + [ + 5417, + 11333 + ], + [ + 3707, + 3889 + ], + [ + 4206, + 5522 + ], + [ + 7758, + 11447 + ], + [ + 4883, + 11399 + ], + [ + 29, + 10842 + ], + [ + 4664, + 5619 + ], + [ + 3831, + 9028 + ], + [ + 3263, + 10264 + ], + [ + 436, + 6470 + ], + [ + 313, + 7568 + ], + [ + 8530, + 11145 + ], + [ + 4853, + 5491 + ], + [ + 1491, + 4571 + ], + [ + 329, + 11484 + ], + [ + 2350, + 9930 + ], + [ + 3687, + 8498 + ], + [ + 273, + 11552 + ], + [ + 6400, + 8218 + ], + [ + 1204, + 2262 + ], + [ + 1140, + 6973 + ], + [ + 6248, + 10830 + ], + [ + 7466, + 11396 + ], + [ + 4255, + 10645 + ], + [ + 1325, + 10136 + ], + [ + 4121, + 8201 + ], + [ + 3555, + 9510 + ], + [ + 2500, + 9874 + ], + [ + 2063, + 3457 + ], + [ + 5028, + 10568 + ], + [ + 3194, + 4778 + ], + [ + 10491, + 11418 + ], + [ + 8039, + 9753 + ], + [ + 2377, + 3058 + ], + [ + 7667, + 7895 + ], + [ + 5361, + 9465 + ], + [ + 2061, + 3761 + ], + [ + 1314, + 2780 + ], + [ + 8619, + 9281 + ], + [ + 494, + 6424 + ], + [ + 1992, + 11511 + ], + [ + 3170, + 8514 + ], + [ + 778, + 8812 + ], + [ + 9515, + 10735 + ], + [ + 4229, + 8269 + ], + [ + 9950, + 10663 + ], + [ + 2116, + 3818 + ], + [ + 1925, + 7256 + ], + [ + 7902, + 10771 + ], + [ + 1307, + 1959 + ], + [ + 3289, + 7647 + ], + [ + 9259, + 9991 + ], + [ + 2882, + 8986 + ], + [ + 7047, + 11196 + ], + [ + 5808, + 9753 + ], + [ + 82, + 7769 + ], + [ + 9550, + 10140 + ], + [ + 4560, + 10476 + ], + [ + 859, + 10844 + ], + [ + 1948, + 8556 + ], + [ + 6392, + 6771 + ], + [ + 3616, + 5948 + ], + [ + 1288, + 3787 + ], + [ + 156, + 2241 + ], + [ + 1723, + 2961 + ], + [ + 5233, + 6031 + ], + [ + 2774, + 11523 + ], + [ + 2034, + 7549 + ], + [ + 7729, + 7968 + ], + [ + 5370, + 6494 + ], + [ + 5702, + 8953 + ], + [ + 6734, + 6885 + ], + [ + 2054, + 8201 + ], + [ + 5732, + 11047 + ], + [ + 2174, + 6805 + ], + [ + 958, + 3279 + ], + [ + 7532, + 7804 + ], + [ + 4538, + 5590 + ], + [ + 7239, + 10211 + ], + [ + 4378, + 10970 + ], + [ + 739, + 1636 + ], + [ + 2351, + 8545 + ], + [ + 9238, + 10561 + ], + [ + 5224, + 6268 + ], + [ + 7860, + 9740 + ], + [ + 231, + 6333 + ], + [ + 1972, + 9680 + ], + [ + 671, + 6605 + ], + [ + 1703, + 4537 + ], + [ + 2068, + 2972 + ], + [ + 13, + 10577 + ], + [ + 2654, + 8731 + ], + [ + 603, + 5912 + ], + [ + 7263, + 8703 + ], + [ + 1043, + 5430 + ], + [ + 539, + 4207 + ], + [ + 5774, + 7085 + ], + [ + 2250, + 8089 + ], + [ + 5496, + 10524 + ], + [ + 3239, + 8603 + ], + [ + 568, + 6076 + ], + [ + 4305, + 6119 + ], + [ + 1427, + 10681 + ], + [ + 1036, + 4609 + ], + [ + 926, + 6723 + ], + [ + 9138, + 9956 + ], + [ + 5600, + 7090 + ], + [ + 7244, + 9750 + ], + [ + 2048, + 4548 + ], + [ + 3269, + 11047 + ], + [ + 1480, + 11446 + ], + [ + 2672, + 6627 + ], + [ + 4974, + 7567 + ], + [ + 1173, + 9983 + ], + [ + 7145, + 9744 + ], + [ + 2883, + 11011 + ], + [ + 1047, + 11564 + ], + [ + 6181, + 10226 + ], + [ + 352, + 4357 + ], + [ + 4288, + 7239 + ], + [ + 1917, + 10666 + ], + [ + 2638, + 4764 + ], + [ + 2760, + 5693 + ], + [ + 1762, + 7345 + ], + [ + 642, + 7314 + ], + [ + 260, + 4768 + ], + [ + 1811, + 7237 + ], + [ + 2445, + 7752 + ], + [ + 7445, + 9632 + ], + [ + 820, + 6273 + ], + [ + 2284, + 6114 + ], + [ + 2437, + 7110 + ], + [ + 6480, + 10643 + ], + [ + 4990, + 5417 + ], + [ + 1753, + 9861 + ], + [ + 509, + 8074 + ], + [ + 2519, + 8640 + ], + [ + 1402, + 8880 + ], + [ + 7661, + 11327 + ], + [ + 457, + 7160 + ], + [ + 2836, + 3594 + ], + [ + 2079, + 8341 + ], + [ + 5537, + 8969 + ], + [ + 1112, + 2136 + ], + [ + 2705, + 4831 + ], + [ + 1586, + 1992 + ], + [ + 4910, + 5838 + ], + [ + 3858, + 10637 + ], + [ + 7764, + 11455 + ], + [ + 928, + 3712 + ], + [ + 10389, + 11328 + ], + [ + 2147, + 9384 + ], + [ + 2978, + 9312 + ], + [ + 5497, + 6537 + ], + [ + 3002, + 7454 + ], + [ + 1071, + 8901 + ], + [ + 3218, + 6520 + ], + [ + 4582, + 6157 + ], + [ + 4155, + 6844 + ], + [ + 7415, + 7487 + ], + [ + 4121, + 4981 + ], + [ + 12, + 9496 + ], + [ + 9353, + 10594 + ], + [ + 819, + 4866 + ], + [ + 9318, + 11539 + ], + [ + 1161, + 1597 + ], + [ + 8941, + 11589 + ], + [ + 2780, + 3261 + ], + [ + 5510, + 6368 + ], + [ + 4697, + 7019 + ], + [ + 5473, + 7240 + ], + [ + 929, + 5411 + ], + [ + 7157, + 9299 + ], + [ + 1737, + 3635 + ], + [ + 7282, + 7493 + ], + [ + 6318, + 7975 + ], + [ + 7302, + 8899 + ], + [ + 1889, + 4406 + ], + [ + 4628, + 6101 + ], + [ + 1923, + 10406 + ], + [ + 9853, + 10543 + ], + [ + 3886, + 5464 + ], + [ + 884, + 8270 + ], + [ + 2661, + 10520 + ], + [ + 2249, + 11515 + ], + [ + 4718, + 5213 + ], + [ + 10934, + 10996 + ], + [ + 4428, + 11301 + ], + [ + 2090, + 4288 + ], + [ + 226, + 9209 + ], + [ + 1933, + 6556 + ], + [ + 5761, + 5963 + ], + [ + 8694, + 10907 + ], + [ + 7042, + 11015 + ], + [ + 2677, + 7239 + ], + [ + 8439, + 9634 + ], + [ + 5017, + 8663 + ], + [ + 1340, + 3009 + ], + [ + 3960, + 6702 + ], + [ + 592, + 8219 + ], + [ + 1182, + 11468 + ], + [ + 2054, + 11397 + ], + [ + 7787, + 8890 + ], + [ + 1051, + 6289 + ], + [ + 7721, + 10522 + ], + [ + 2981, + 5371 + ], + [ + 8922, + 9229 + ], + [ + 2645, + 9586 + ], + [ + 2949, + 9997 + ], + [ + 3102, + 6829 + ], + [ + 7243, + 10897 + ], + [ + 3126, + 4971 + ], + [ + 868, + 3549 + ], + [ + 3504, + 3611 + ], + [ + 4748, + 6152 + ], + [ + 1659, + 10494 + ], + [ + 20, + 11561 + ], + [ + 299, + 4560 + ], + [ + 10413, + 11243 + ], + [ + 601, + 4898 + ], + [ + 2373, + 6804 + ], + [ + 4955, + 10013 + ], + [ + 7286, + 9439 + ], + [ + 3647, + 10685 + ], + [ + 5203, + 7082 + ], + [ + 4415, + 9510 + ], + [ + 3047, + 5213 + ], + [ + 7040, + 9383 + ], + [ + 4397, + 8150 + ], + [ + 3929, + 6584 + ], + [ + 6607, + 9501 + ], + [ + 3541, + 5721 + ], + [ + 3988, + 7164 + ], + [ + 3554, + 10090 + ], + [ + 2329, + 6101 + ], + [ + 4259, + 5183 + ], + [ + 6432, + 8187 + ], + [ + 3853, + 7878 + ], + [ + 1573, + 10669 + ], + [ + 3801, + 6964 + ], + [ + 4647, + 7924 + ], + [ + 5429, + 11343 + ], + [ + 4211, + 8525 + ], + [ + 3379, + 11378 + ], + [ + 910, + 11264 + ], + [ + 4052, + 7714 + ], + [ + 6385, + 10219 + ], + [ + 4081, + 6200 + ], + [ + 1381, + 4433 + ], + [ + 2464, + 10998 + ], + [ + 876, + 2985 + ], + [ + 5237, + 11523 + ], + [ + 5165, + 9957 + ], + [ + 380, + 5033 + ], + [ + 6751, + 8475 + ], + [ + 4610, + 8392 + ], + [ + 4044, + 9701 + ], + [ + 1401, + 8468 + ], + [ + 4885, + 10317 + ], + [ + 8211, + 9328 + ], + [ + 4697, + 11020 + ], + [ + 6593, + 11272 + ], + [ + 1043, + 9699 + ], + [ + 6524, + 9600 + ], + [ + 4148, + 6267 + ], + [ + 5777, + 8619 + ], + [ + 1171, + 5912 + ], + [ + 7337, + 8922 + ], + [ + 7886, + 9164 + ], + [ + 861, + 4932 + ], + [ + 8042, + 9677 + ], + [ + 1634, + 4855 + ], + [ + 6787, + 6977 + ], + [ + 3099, + 7550 + ], + [ + 4025, + 4332 + ], + [ + 4709, + 4964 + ], + [ + 2242, + 2267 + ], + [ + 6696, + 10996 + ], + [ + 1161, + 1410 + ], + [ + 6290, + 10308 + ], + [ + 5491, + 8383 + ], + [ + 5756, + 9620 + ], + [ + 4851, + 7299 + ], + [ + 9400, + 9472 + ], + [ + 2058, + 9505 + ], + [ + 1831, + 10280 + ], + [ + 11273, + 11430 + ], + [ + 3018, + 5117 + ], + [ + 5325, + 6401 + ], + [ + 1708, + 11378 + ], + [ + 8653, + 11120 + ], + [ + 9861, + 10998 + ], + [ + 2922, + 8792 + ], + [ + 1735, + 6785 + ], + [ + 2767, + 4717 + ], + [ + 1489, + 4100 + ], + [ + 1619, + 9808 + ], + [ + 4135, + 9014 + ], + [ + 1213, + 8366 + ], + [ + 3761, + 6329 + ], + [ + 2846, + 3320 + ], + [ + 6001, + 6391 + ], + [ + 9428, + 11116 + ], + [ + 1972, + 10111 + ], + [ + 759, + 2719 + ], + [ + 6772, + 8897 + ], + [ + 1549, + 10917 + ], + [ + 3934, + 7196 + ], + [ + 11000, + 11429 + ], + [ + 105, + 1148 + ], + [ + 3594, + 7505 + ], + [ + 2278, + 4152 + ], + [ + 545, + 5584 + ], + [ + 1596, + 7730 + ], + [ + 386, + 11189 + ], + [ + 5460, + 9046 + ], + [ + 4545, + 6037 + ], + [ + 6110, + 6684 + ], + [ + 4135, + 7859 + ], + [ + 5418, + 8820 + ], + [ + 6507, + 7286 + ], + [ + 6136, + 9036 + ], + [ + 224, + 10080 + ], + [ + 2088, + 10794 + ], + [ + 10851, + 10932 + ], + [ + 1799, + 4275 + ], + [ + 8648, + 9971 + ], + [ + 1200, + 9608 + ], + [ + 2612, + 7007 + ], + [ + 4757, + 9461 + ], + [ + 1959, + 11323 + ], + [ + 8027, + 10792 + ], + [ + 411, + 4614 + ], + [ + 9825, + 10886 + ], + [ + 4182, + 4241 + ], + [ + 8977, + 9099 + ], + [ + 1284, + 8151 + ], + [ + 2882, + 11190 + ], + [ + 3314, + 10847 + ], + [ + 503, + 1170 + ], + [ + 5640, + 9929 + ], + [ + 103, + 10096 + ], + [ + 634, + 10486 + ], + [ + 668, + 9316 + ], + [ + 5288, + 9477 + ], + [ + 2834, + 10395 + ], + [ + 5107, + 6433 + ], + [ + 105, + 3726 + ], + [ + 10521, + 11528 + ], + [ + 1393, + 5061 + ], + [ + 4197, + 7151 + ], + [ + 6633, + 8283 + ], + [ + 2180, + 2408 + ], + [ + 9979, + 10198 + ], + [ + 3226, + 4210 + ], + [ + 6226, + 10376 + ], + [ + 1605, + 6637 + ], + [ + 2699, + 11109 + ], + [ + 2411, + 8198 + ], + [ + 8517, + 10403 + ], + [ + 1829, + 4810 + ], + [ + 5682, + 5967 + ], + [ + 3168, + 6834 + ], + [ + 3846, + 6520 + ], + [ + 3435, + 4734 + ], + [ + 1630, + 4600 + ], + [ + 8482, + 10567 + ], + [ + 6328, + 10279 + ], + [ + 3678, + 7875 + ], + [ + 4798, + 7906 + ], + [ + 3681, + 5140 + ], + [ + 1279, + 7002 + ], + [ + 4088, + 9436 + ], + [ + 6636, + 7399 + ], + [ + 8687, + 8720 + ], + [ + 5574, + 10756 + ], + [ + 4701, + 4940 + ], + [ + 2680, + 2707 + ], + [ + 7817, + 11466 + ], + [ + 9747, + 10548 + ], + [ + 2957, + 11094 + ], + [ + 1455, + 8517 + ], + [ + 1486, + 3666 + ], + [ + 1890, + 8445 + ], + [ + 5004, + 9263 + ], + [ + 4602, + 10946 + ], + [ + 5557, + 6214 + ], + [ + 3729, + 10792 + ], + [ + 1690, + 3846 + ], + [ + 10538, + 11427 + ], + [ + 913, + 4154 + ], + [ + 3616, + 6192 + ], + [ + 8999, + 11220 + ], + [ + 5482, + 6979 + ], + [ + 3212, + 11212 + ], + [ + 5351, + 8216 + ], + [ + 1908, + 2958 + ], + [ + 499, + 2824 + ], + [ + 1011, + 11078 + ], + [ + 5232, + 6804 + ], + [ + 2527, + 4693 + ], + [ + 2031, + 4489 + ], + [ + 441, + 8481 + ], + [ + 2650, + 6978 + ], + [ + 995, + 3405 + ], + [ + 1308, + 1650 + ], + [ + 3171, + 5926 + ], + [ + 2522, + 7732 + ], + [ + 6940, + 10388 + ], + [ + 6868, + 8822 + ], + [ + 4292, + 8811 + ], + [ + 82, + 442 + ], + [ + 2772, + 4874 + ], + [ + 1914, + 2399 + ], + [ + 2853, + 10720 + ], + [ + 6213, + 10059 + ], + [ + 7581, + 7940 + ], + [ + 1918, + 9688 + ], + [ + 4934, + 9217 + ], + [ + 1885, + 7296 + ], + [ + 3734, + 6948 + ], + [ + 4878, + 5121 + ], + [ + 6433, + 9244 + ], + [ + 1395, + 6880 + ], + [ + 6431, + 8417 + ], + [ + 5490, + 10603 + ], + [ + 2260, + 9802 + ], + [ + 6673, + 7950 + ], + [ + 4367, + 10274 + ], + [ + 8823, + 9250 + ], + [ + 5886, + 7570 + ], + [ + 5669, + 9033 + ], + [ + 6889, + 7016 + ], + [ + 8036, + 8870 + ], + [ + 6477, + 8011 + ], + [ + 6174, + 8202 + ], + [ + 10845, + 11304 + ], + [ + 7564, + 9814 + ], + [ + 5634, + 9951 + ], + [ + 1964, + 8878 + ], + [ + 5388, + 10676 + ], + [ + 2124, + 6881 + ], + [ + 436, + 7332 + ], + [ + 1145, + 5577 + ], + [ + 3173, + 8200 + ], + [ + 1621, + 5506 + ], + [ + 2713, + 9905 + ], + [ + 9029, + 9476 + ], + [ + 1682, + 9165 + ], + [ + 7649, + 7828 + ], + [ + 4510, + 9397 + ], + [ + 7965, + 10508 + ], + [ + 2335, + 10484 + ], + [ + 203, + 7511 + ], + [ + 2629, + 3791 + ], + [ + 7794, + 8182 + ], + [ + 550, + 11002 + ], + [ + 6749, + 9234 + ], + [ + 5743, + 11025 + ], + [ + 1478, + 7830 + ], + [ + 1285, + 7435 + ], + [ + 4588, + 4742 + ], + [ + 2649, + 7826 + ], + [ + 5615, + 8746 + ], + [ + 1193, + 8600 + ], + [ + 2755, + 8976 + ], + [ + 3407, + 6687 + ], + [ + 4305, + 8591 + ], + [ + 79, + 5351 + ], + [ + 5894, + 10790 + ], + [ + 7203, + 7310 + ], + [ + 744, + 7461 + ], + [ + 4486, + 7848 + ], + [ + 2082, + 8883 + ], + [ + 3897, + 7453 + ], + [ + 1524, + 10053 + ], + [ + 5944, + 7874 + ], + [ + 4755, + 5794 + ], + [ + 6434, + 6755 + ], + [ + 100, + 6578 + ], + [ + 8560, + 9913 + ], + [ + 7896, + 10687 + ], + [ + 210, + 10910 + ], + [ + 2018, + 8309 + ], + [ + 3475, + 6979 + ], + [ + 4445, + 8197 + ], + [ + 176, + 4129 + ], + [ + 5566, + 11082 + ], + [ + 6034, + 6986 + ], + [ + 4962, + 9655 + ], + [ + 11011, + 11326 + ], + [ + 2849, + 5204 + ], + [ + 522, + 1733 + ], + [ + 1138, + 3951 + ], + [ + 2977, + 3669 + ], + [ + 5712, + 7874 + ], + [ + 5301, + 6088 + ], + [ + 1815, + 3412 + ], + [ + 6670, + 6823 + ], + [ + 1291, + 10582 + ], + [ + 1254, + 8448 + ], + [ + 3278, + 7165 + ], + [ + 6690, + 6694 + ], + [ + 3706, + 10086 + ], + [ + 10641, + 11392 + ], + [ + 2946, + 7365 + ], + [ + 7463, + 10000 + ], + [ + 5969, + 11448 + ], + [ + 5742, + 8059 + ], + [ + 3725, + 4070 + ], + [ + 4253, + 10605 + ], + [ + 850, + 3268 + ], + [ + 6980, + 10031 + ], + [ + 1885, + 4881 + ], + [ + 4144, + 9157 + ], + [ + 7985, + 8769 + ], + [ + 2534, + 8710 + ], + [ + 5366, + 6432 + ], + [ + 5399, + 11453 + ], + [ + 7376, + 10381 + ], + [ + 1963, + 2478 + ], + [ + 7816, + 10653 + ], + [ + 6130, + 7767 + ], + [ + 3235, + 3280 + ], + [ + 3768, + 10159 + ], + [ + 4040, + 8403 + ], + [ + 2551, + 6031 + ], + [ + 5070, + 5508 + ], + [ + 832, + 11333 + ], + [ + 4414, + 10307 + ], + [ + 7340, + 11074 + ], + [ + 5931, + 10940 + ], + [ + 3009, + 10292 + ], + [ + 1333, + 6596 + ], + [ + 331, + 10758 + ], + [ + 42, + 75 + ], + [ + 410, + 2191 + ], + [ + 6992, + 10741 + ], + [ + 3470, + 8408 + ], + [ + 6990, + 9914 + ], + [ + 144, + 7899 + ], + [ + 6641, + 9760 + ], + [ + 3618, + 5273 + ], + [ + 1904, + 7509 + ], + [ + 4459, + 6643 + ], + [ + 1682, + 8628 + ], + [ + 2535, + 4343 + ], + [ + 3609, + 8193 + ], + [ + 128, + 5861 + ], + [ + 8603, + 10228 + ], + [ + 726, + 6719 + ], + [ + 2777, + 3876 + ], + [ + 2147, + 3480 + ], + [ + 5207, + 7445 + ], + [ + 8459, + 9725 + ], + [ + 9183, + 9756 + ], + [ + 4575, + 11140 + ], + [ + 3575, + 11211 + ], + [ + 2835, + 11401 + ], + [ + 235, + 6108 + ], + [ + 9637, + 10865 + ], + [ + 3720, + 11565 + ], + [ + 573, + 6103 + ], + [ + 827, + 2987 + ], + [ + 6768, + 6845 + ], + [ + 6988, + 9063 + ], + [ + 10816, + 11476 + ], + [ + 487, + 10466 + ], + [ + 10719, + 11543 + ], + [ + 6926, + 11568 + ], + [ + 166, + 4409 + ], + [ + 3999, + 10576 + ], + [ + 2721, + 3543 + ], + [ + 112, + 7556 + ], + [ + 4489, + 10211 + ], + [ + 4396, + 7768 + ], + [ + 220, + 4645 + ], + [ + 5729, + 8846 + ], + [ + 691, + 10646 + ], + [ + 2991, + 8507 + ], + [ + 4486, + 7661 + ], + [ + 1719, + 11088 + ], + [ + 811, + 2080 + ], + [ + 1960, + 7013 + ], + [ + 6514, + 9530 + ], + [ + 2740, + 10359 + ], + [ + 278, + 5000 + ], + [ + 1522, + 7541 + ], + [ + 4481, + 6536 + ], + [ + 7218, + 10814 + ], + [ + 2762, + 5422 + ], + [ + 2359, + 4251 + ], + [ + 1951, + 6900 + ], + [ + 4936, + 7116 + ], + [ + 1515, + 3337 + ], + [ + 1976, + 7896 + ], + [ + 9111, + 10768 + ], + [ + 6499, + 8848 + ], + [ + 4837, + 10520 + ], + [ + 4479, + 6840 + ], + [ + 2610, + 11417 + ], + [ + 582, + 9548 + ], + [ + 1829, + 10852 + ], + [ + 1082, + 9871 + ], + [ + 708, + 11350 + ], + [ + 5460, + 6712 + ], + [ + 633, + 8732 + ], + [ + 20, + 10195 + ], + [ + 4676, + 5849 + ], + [ + 317, + 10189 + ], + [ + 2311, + 10976 + ], + [ + 3113, + 5248 + ], + [ + 6504, + 11070 + ], + [ + 695, + 6577 + ], + [ + 3642, + 4811 + ], + [ + 1933, + 10801 + ], + [ + 652, + 9132 + ], + [ + 2739, + 5946 + ], + [ + 7630, + 11266 + ], + [ + 5851, + 5937 + ], + [ + 370, + 7167 + ], + [ + 1958, + 9518 + ], + [ + 3231, + 9791 + ], + [ + 3066, + 5028 + ], + [ + 2344, + 5797 + ], + [ + 4304, + 6219 + ], + [ + 1532, + 9302 + ], + [ + 3438, + 7236 + ], + [ + 5831, + 8294 + ], + [ + 690, + 8461 + ], + [ + 1032, + 8198 + ], + [ + 510, + 9025 + ], + [ + 6200, + 9854 + ], + [ + 4494, + 8945 + ], + [ + 8410, + 11205 + ], + [ + 4632, + 8909 + ], + [ + 5822, + 9679 + ], + [ + 1061, + 10067 + ], + [ + 3642, + 4006 + ], + [ + 572, + 6870 + ], + [ + 4648, + 6379 + ], + [ + 5548, + 8356 + ], + [ + 6283, + 8576 + ], + [ + 4629, + 7857 + ], + [ + 10487, + 10714 + ], + [ + 7350, + 8192 + ], + [ + 2737, + 2816 + ], + [ + 10445, + 10488 + ], + [ + 7098, + 11354 + ], + [ + 6193, + 9033 + ], + [ + 1262, + 4314 + ], + [ + 5440, + 7483 + ], + [ + 493, + 4483 + ], + [ + 1520, + 8487 + ], + [ + 517, + 2625 + ], + [ + 4557, + 6641 + ], + [ + 9264, + 9400 + ], + [ + 1048, + 8677 + ], + [ + 7242, + 11483 + ], + [ + 4219, + 10029 + ], + [ + 6521, + 7936 + ], + [ + 791, + 8462 + ], + [ + 2525, + 3468 + ], + [ + 4178, + 10378 + ], + [ + 4701, + 5989 + ], + [ + 2524, + 10413 + ], + [ + 9344, + 11207 + ], + [ + 3952, + 8345 + ], + [ + 4953, + 6210 + ], + [ + 8098, + 8593 + ], + [ + 873, + 9965 + ], + [ + 2554, + 5337 + ], + [ + 2666, + 6332 + ], + [ + 3887, + 6415 + ], + [ + 1731, + 5300 + ], + [ + 1613, + 10906 + ], + [ + 1306, + 9443 + ], + [ + 9926, + 10781 + ], + [ + 3665, + 4501 + ], + [ + 5087, + 11286 + ], + [ + 3196, + 9126 + ], + [ + 2107, + 4998 + ], + [ + 10472, + 10725 + ], + [ + 2910, + 9294 + ], + [ + 1609, + 10383 + ], + [ + 6805, + 9923 + ], + [ + 6860, + 9630 + ], + [ + 542, + 9986 + ], + [ + 6772, + 7531 + ], + [ + 1316, + 9380 + ], + [ + 1605, + 7231 + ], + [ + 4921, + 10435 + ], + [ + 5862, + 8249 + ], + [ + 4833, + 7582 + ], + [ + 3556, + 9819 + ], + [ + 2809, + 8838 + ], + [ + 244, + 2600 + ], + [ + 9746, + 10971 + ], + [ + 1410, + 2976 + ], + [ + 3793, + 9008 + ], + [ + 40, + 9186 + ], + [ + 5262, + 9947 + ], + [ + 7137, + 8568 + ], + [ + 7696, + 10252 + ], + [ + 2463, + 11584 + ], + [ + 4641, + 7762 + ], + [ + 2757, + 11307 + ], + [ + 3598, + 5507 + ], + [ + 6247, + 9938 + ], + [ + 2352, + 10440 + ], + [ + 3721, + 7011 + ], + [ + 3504, + 8474 + ], + [ + 4215, + 8300 + ], + [ + 6300, + 10703 + ], + [ + 78, + 10767 + ], + [ + 2468, + 7390 + ], + [ + 606, + 6722 + ], + [ + 3276, + 3362 + ], + [ + 1091, + 3761 + ], + [ + 1352, + 1816 + ], + [ + 9065, + 9832 + ], + [ + 7482, + 8579 + ], + [ + 813, + 7200 + ], + [ + 3989, + 8896 + ], + [ + 4858, + 5144 + ], + [ + 1941, + 11256 + ], + [ + 4525, + 8876 + ], + [ + 411, + 6631 + ], + [ + 1006, + 10978 + ], + [ + 2245, + 6005 + ], + [ + 1470, + 2976 + ], + [ + 1427, + 5558 + ], + [ + 487, + 4936 + ], + [ + 1190, + 9752 + ], + [ + 4036, + 4928 + ], + [ + 206, + 2442 + ], + [ + 4727, + 8983 + ], + [ + 7533, + 11146 + ], + [ + 2977, + 8556 + ], + [ + 3362, + 8367 + ], + [ + 8897, + 11537 + ], + [ + 673, + 4537 + ], + [ + 1638, + 7663 + ], + [ + 6397, + 6448 + ], + [ + 1639, + 10517 + ], + [ + 460, + 9125 + ], + [ + 2317, + 3033 + ], + [ + 8923, + 9725 + ], + [ + 2445, + 5662 + ], + [ + 8888, + 11424 + ], + [ + 5115, + 5308 + ], + [ + 4631, + 8871 + ], + [ + 4215, + 7495 + ], + [ + 3069, + 8495 + ], + [ + 3600, + 8131 + ], + [ + 5432, + 10088 + ], + [ + 6326, + 8086 + ], + [ + 3153, + 10071 + ], + [ + 10348, + 10742 + ], + [ + 7757, + 9699 + ], + [ + 6707, + 11161 + ], + [ + 10840, + 11204 + ], + [ + 1934, + 9280 + ], + [ + 2333, + 7299 + ], + [ + 1565, + 5441 + ], + [ + 3708, + 11232 + ], + [ + 8599, + 10136 + ], + [ + 934, + 11236 + ], + [ + 1495, + 3167 + ], + [ + 5077, + 5551 + ], + [ + 1734, + 3183 + ], + [ + 271, + 2032 + ], + [ + 4042, + 8075 + ], + [ + 6833, + 9206 + ], + [ + 2426, + 10092 + ], + [ + 3388, + 6531 + ], + [ + 1141, + 6052 + ], + [ + 3322, + 8917 + ], + [ + 7838, + 7944 + ], + [ + 3163, + 7352 + ], + [ + 1229, + 11534 + ], + [ + 8600, + 9987 + ], + [ + 143, + 10333 + ], + [ + 755, + 5235 + ], + [ + 3282, + 8737 + ], + [ + 2993, + 8634 + ], + [ + 6324, + 7235 + ], + [ + 4092, + 7788 + ], + [ + 3958, + 4590 + ], + [ + 6384, + 7286 + ], + [ + 8235, + 8519 + ], + [ + 2347, + 7705 + ], + [ + 2929, + 11093 + ], + [ + 535, + 6400 + ], + [ + 11340, + 11503 + ], + [ + 5381, + 5561 + ], + [ + 2280, + 9866 + ], + [ + 154, + 292 + ], + [ + 4571, + 9893 + ], + [ + 1157, + 8783 + ], + [ + 1305, + 9435 + ], + [ + 940, + 4584 + ], + [ + 6258, + 9217 + ], + [ + 3329, + 11562 + ], + [ + 8458, + 9880 + ], + [ + 3565, + 3733 + ], + [ + 5311, + 6670 + ], + [ + 10820, + 10871 + ], + [ + 5849, + 7477 + ], + [ + 4469, + 8835 + ], + [ + 2301, + 3923 + ], + [ + 2330, + 9579 + ], + [ + 477, + 5267 + ], + [ + 3993, + 10037 + ], + [ + 5679, + 8759 + ], + [ + 1207, + 2834 + ], + [ + 6464, + 9443 + ], + [ + 1820, + 4000 + ], + [ + 2092, + 2244 + ], + [ + 6076, + 8580 + ], + [ + 2196, + 6731 + ], + [ + 3089, + 7537 + ], + [ + 3275, + 4509 + ], + [ + 4897, + 11352 + ], + [ + 4520, + 9150 + ], + [ + 4179, + 8857 + ], + [ + 1058, + 5370 + ], + [ + 7526, + 11374 + ], + [ + 1992, + 5396 + ], + [ + 865, + 4194 + ], + [ + 94, + 2819 + ], + [ + 124, + 10575 + ], + [ + 680, + 2162 + ], + [ + 4193, + 8913 + ], + [ + 9611, + 11498 + ], + [ + 7519, + 7924 + ], + [ + 2080, + 4462 + ], + [ + 549, + 9815 + ], + [ + 3947, + 5474 + ], + [ + 6746, + 11384 + ], + [ + 1669, + 3430 + ], + [ + 3984, + 8739 + ], + [ + 516, + 1007 + ], + [ + 8710, + 9296 + ], + [ + 2733, + 3529 + ], + [ + 2796, + 7261 + ], + [ + 3467, + 3524 + ], + [ + 6644, + 10326 + ], + [ + 7740, + 9963 + ], + [ + 1508, + 5175 + ], + [ + 3960, + 6840 + ], + [ + 573, + 1891 + ], + [ + 8752, + 11400 + ], + [ + 7420, + 7514 + ], + [ + 2895, + 9899 + ], + [ + 4138, + 8051 + ], + [ + 4420, + 11147 + ], + [ + 1655, + 8985 + ], + [ + 8317, + 8439 + ], + [ + 6128, + 11348 + ], + [ + 4894, + 10249 + ], + [ + 188, + 3928 + ], + [ + 3292, + 4058 + ], + [ + 5110, + 8561 + ], + [ + 1433, + 2907 + ], + [ + 5847, + 8827 + ], + [ + 6212, + 7262 + ], + [ + 4159, + 9278 + ], + [ + 800, + 6377 + ], + [ + 1266, + 11280 + ], + [ + 1636, + 6649 + ], + [ + 5378, + 7036 + ], + [ + 3346, + 7677 + ], + [ + 10350, + 11032 + ], + [ + 2659, + 6747 + ], + [ + 10004, + 10395 + ], + [ + 107, + 11294 + ], + [ + 508, + 5222 + ], + [ + 2884, + 2893 + ], + [ + 4585, + 8339 + ], + [ + 1658, + 7347 + ], + [ + 598, + 5115 + ], + [ + 753, + 2774 + ], + [ + 443, + 4046 + ], + [ + 5427, + 9557 + ], + [ + 1566, + 7758 + ], + [ + 4706, + 9797 + ], + [ + 1375, + 8190 + ], + [ + 1155, + 6726 + ], + [ + 315, + 8964 + ], + [ + 1882, + 4022 + ], + [ + 6388, + 8777 + ], + [ + 476, + 9821 + ], + [ + 7594, + 7828 + ], + [ + 2528, + 7580 + ], + [ + 4121, + 10275 + ], + [ + 4114, + 9104 + ], + [ + 1183, + 8370 + ], + [ + 586, + 3950 + ], + [ + 87, + 3071 + ], + [ + 8966, + 11463 + ], + [ + 4262, + 5969 + ], + [ + 122, + 8919 + ], + [ + 588, + 10412 + ], + [ + 1641, + 2805 + ], + [ + 8957, + 11350 + ], + [ + 8324, + 10683 + ], + [ + 3498, + 6512 + ], + [ + 4938, + 5959 + ], + [ + 3183, + 5188 + ], + [ + 3566, + 4926 + ], + [ + 5873, + 10374 + ], + [ + 3409, + 4188 + ], + [ + 1473, + 7543 + ], + [ + 2620, + 9397 + ], + [ + 1169, + 10515 + ], + [ + 694, + 11188 + ], + [ + 8784, + 9328 + ], + [ + 3741, + 5866 + ], + [ + 1590, + 5095 + ], + [ + 1251, + 5629 + ], + [ + 1688, + 6384 + ], + [ + 1120, + 6866 + ], + [ + 5636, + 5893 + ], + [ + 3674, + 8027 + ], + [ + 5047, + 6252 + ], + [ + 446, + 3889 + ], + [ + 6191, + 10841 + ], + [ + 4582, + 7613 + ], + [ + 7102, + 9944 + ], + [ + 7369, + 7844 + ], + [ + 4475, + 9244 + ], + [ + 4330, + 6611 + ], + [ + 213, + 685 + ], + [ + 3953, + 4409 + ], + [ + 2301, + 6769 + ], + [ + 1711, + 3520 + ], + [ + 147, + 6481 + ], + [ + 6253, + 8686 + ], + [ + 646, + 3950 + ], + [ + 8812, + 10191 + ], + [ + 1799, + 9756 + ], + [ + 1929, + 8294 + ], + [ + 387, + 8570 + ], + [ + 227, + 4905 + ], + [ + 6579, + 10549 + ], + [ + 2513, + 5312 + ], + [ + 3600, + 9367 + ], + [ + 1513, + 10301 + ], + [ + 6611, + 8552 + ], + [ + 7550, + 10457 + ], + [ + 5308, + 9568 + ], + [ + 3216, + 5994 + ], + [ + 4461, + 8383 + ], + [ + 1407, + 1954 + ], + [ + 5140, + 10923 + ], + [ + 904, + 1333 + ], + [ + 5299, + 8701 + ], + [ + 2832, + 9387 + ], + [ + 8000, + 11043 + ], + [ + 6446, + 7522 + ], + [ + 677, + 11126 + ], + [ + 10880, + 11465 + ], + [ + 5850, + 6710 + ], + [ + 6958, + 9390 + ], + [ + 8986, + 11259 + ], + [ + 4041, + 9086 + ], + [ + 586, + 5723 + ], + [ + 1479, + 6529 + ], + [ + 8545, + 11516 + ], + [ + 4663, + 8840 + ], + [ + 652, + 9726 + ], + [ + 2915, + 5076 + ], + [ + 4682, + 6638 + ], + [ + 1416, + 8432 + ], + [ + 5406, + 5915 + ], + [ + 5184, + 7788 + ], + [ + 5065, + 5622 + ], + [ + 5645, + 8183 + ], + [ + 2914, + 11267 + ], + [ + 5903, + 6721 + ], + [ + 3432, + 6534 + ], + [ + 479, + 10737 + ], + [ + 4933, + 7388 + ], + [ + 3706, + 8988 + ], + [ + 5206, + 8486 + ], + [ + 6546, + 10735 + ], + [ + 2866, + 4810 + ], + [ + 1276, + 8802 + ], + [ + 2090, + 4589 + ], + [ + 510, + 9269 + ], + [ + 940, + 8853 + ], + [ + 4589, + 6043 + ], + [ + 1540, + 10538 + ], + [ + 1103, + 4121 + ], + [ + 6168, + 10560 + ], + [ + 523, + 7252 + ], + [ + 7415, + 10366 + ], + [ + 6699, + 10196 + ], + [ + 1006, + 4188 + ], + [ + 8585, + 9760 + ], + [ + 4486, + 6295 + ], + [ + 3297, + 4215 + ], + [ + 1893, + 4425 + ], + [ + 652, + 8571 + ], + [ + 612, + 9172 + ], + [ + 6904, + 8349 + ], + [ + 3382, + 6016 + ], + [ + 921, + 10681 + ], + [ + 2165, + 6052 + ], + [ + 5683, + 6731 + ], + [ + 1832, + 3368 + ], + [ + 4092, + 11252 + ], + [ + 5484, + 6521 + ], + [ + 9477, + 10691 + ], + [ + 5397, + 8030 + ], + [ + 1911, + 5354 + ], + [ + 636, + 1248 + ], + [ + 9414, + 10342 + ], + [ + 3461, + 4215 + ], + [ + 3493, + 7136 + ], + [ + 1416, + 4594 + ], + [ + 5805, + 8764 + ], + [ + 7197, + 11203 + ], + [ + 1846, + 3424 + ], + [ + 6104, + 8831 + ], + [ + 5514, + 5582 + ], + [ + 3363, + 11227 + ], + [ + 3402, + 10401 + ], + [ + 102, + 4697 + ], + [ + 6139, + 11269 + ], + [ + 4322, + 9620 + ], + [ + 3828, + 6079 + ], + [ + 3231, + 8075 + ], + [ + 7754, + 9027 + ], + [ + 435, + 4348 + ], + [ + 744, + 11519 + ], + [ + 5725, + 9185 + ], + [ + 5162, + 10011 + ], + [ + 7438, + 9730 + ], + [ + 3085, + 5217 + ], + [ + 1027, + 7643 + ], + [ + 807, + 3173 + ], + [ + 2257, + 4836 + ], + [ + 5255, + 7923 + ], + [ + 8178, + 11425 + ], + [ + 50, + 6385 + ], + [ + 7804, + 8740 + ], + [ + 1766, + 4949 + ], + [ + 5162, + 10361 + ], + [ + 759, + 8013 + ], + [ + 7512, + 8339 + ], + [ + 10567, + 11206 + ], + [ + 6291, + 10885 + ], + [ + 1559, + 9759 + ], + [ + 2400, + 3959 + ], + [ + 591, + 6335 + ], + [ + 7498, + 10511 + ], + [ + 6570, + 10650 + ], + [ + 710, + 1304 + ], + [ + 5534, + 8812 + ], + [ + 302, + 3199 + ], + [ + 8302, + 11245 + ], + [ + 706, + 3814 + ], + [ + 1891, + 1988 + ], + [ + 5089, + 8169 + ], + [ + 1360, + 5735 + ], + [ + 6926, + 10470 + ], + [ + 4716, + 6086 + ], + [ + 7152, + 10224 + ], + [ + 1170, + 3359 + ], + [ + 173, + 7865 + ], + [ + 1221, + 5576 + ], + [ + 2592, + 9390 + ], + [ + 5768, + 11086 + ], + [ + 2036, + 5725 + ], + [ + 6203, + 11014 + ], + [ + 503, + 3081 + ], + [ + 604, + 3887 + ], + [ + 4181, + 5927 + ], + [ + 9351, + 10662 + ], + [ + 2873, + 8851 + ], + [ + 5237, + 10669 + ], + [ + 7565, + 10578 + ], + [ + 6644, + 7724 + ], + [ + 6477, + 9304 + ], + [ + 3311, + 6044 + ], + [ + 2249, + 9401 + ], + [ + 6105, + 7446 + ], + [ + 1910, + 3519 + ], + [ + 4931, + 10562 + ], + [ + 6139, + 6276 + ], + [ + 3799, + 9016 + ], + [ + 2431, + 4719 + ], + [ + 870, + 11361 + ], + [ + 4610, + 10921 + ], + [ + 1329, + 3015 + ], + [ + 7553, + 9413 + ], + [ + 3518, + 9905 + ], + [ + 7434, + 8001 + ], + [ + 3232, + 10073 + ], + [ + 4574, + 5979 + ], + [ + 5868, + 7129 + ], + [ + 238, + 7105 + ], + [ + 1795, + 7891 + ], + [ + 1867, + 3041 + ], + [ + 3543, + 5239 + ], + [ + 2173, + 10695 + ], + [ + 3541, + 4412 + ], + [ + 1368, + 6326 + ], + [ + 8422, + 9044 + ], + [ + 5426, + 10167 + ], + [ + 10350, + 11463 + ], + [ + 646, + 6341 + ], + [ + 5374, + 9977 + ], + [ + 1692, + 7389 + ], + [ + 2889, + 10084 + ], + [ + 4529, + 5455 + ], + [ + 2165, + 3637 + ], + [ + 666, + 6993 + ], + [ + 4475, + 8602 + ], + [ + 2751, + 9396 + ], + [ + 2006, + 9242 + ], + [ + 5497, + 5846 + ], + [ + 1514, + 8780 + ], + [ + 426, + 7506 + ], + [ + 2291, + 5439 + ], + [ + 8354, + 10980 + ], + [ + 3180, + 9509 + ], + [ + 5550, + 8109 + ], + [ + 2436, + 5039 + ], + [ + 10343, + 10642 + ], + [ + 6604, + 7520 + ], + [ + 8587, + 9646 + ], + [ + 8805, + 11037 + ], + [ + 7217, + 9440 + ], + [ + 1336, + 5633 + ], + [ + 1093, + 5875 + ], + [ + 1898, + 10998 + ], + [ + 2237, + 10464 + ], + [ + 2457, + 6266 + ], + [ + 6681, + 8679 + ], + [ + 4040, + 8273 + ], + [ + 6996, + 7751 + ], + [ + 3794, + 4834 + ], + [ + 3047, + 9515 + ], + [ + 679, + 10961 + ], + [ + 6061, + 6719 + ], + [ + 9388, + 10836 + ], + [ + 1026, + 1620 + ], + [ + 1518, + 2082 + ], + [ + 179, + 9857 + ], + [ + 2264, + 5844 + ], + [ + 5493, + 10584 + ], + [ + 8335, + 8994 + ], + [ + 5126, + 9070 + ], + [ + 4037, + 4188 + ], + [ + 2003, + 4756 + ], + [ + 5526, + 9943 + ], + [ + 5550, + 10337 + ], + [ + 538, + 6942 + ], + [ + 3494, + 6420 + ], + [ + 6577, + 7925 + ], + [ + 4801, + 6277 + ], + [ + 3529, + 8858 + ], + [ + 1041, + 8694 + ], + [ + 3520, + 11024 + ], + [ + 781, + 3667 + ], + [ + 9125, + 9271 + ], + [ + 32, + 5269 + ], + [ + 3022, + 10747 + ], + [ + 5952, + 9004 + ], + [ + 1714, + 5003 + ], + [ + 5607, + 11221 + ], + [ + 2651, + 5327 + ], + [ + 5853, + 8244 + ], + [ + 2147, + 3350 + ], + [ + 7379, + 8963 + ], + [ + 6231, + 7638 + ], + [ + 3442, + 5856 + ], + [ + 709, + 8113 + ], + [ + 1433, + 8144 + ], + [ + 2302, + 8556 + ], + [ + 9182, + 10155 + ], + [ + 3692, + 6004 + ], + [ + 4378, + 6709 + ], + [ + 6057, + 8424 + ], + [ + 1883, + 1964 + ], + [ + 4158, + 7874 + ], + [ + 7864, + 8604 + ], + [ + 5393, + 6165 + ], + [ + 3228, + 7940 + ], + [ + 5458, + 6560 + ], + [ + 325, + 11506 + ], + [ + 2469, + 8854 + ], + [ + 5863, + 7777 + ], + [ + 4495, + 8398 + ], + [ + 5859, + 11041 + ], + [ + 40, + 5860 + ], + [ + 5055, + 6520 + ], + [ + 2529, + 6626 + ], + [ + 2534, + 6970 + ], + [ + 7513, + 7973 + ], + [ + 244, + 2657 + ], + [ + 8005, + 8435 + ], + [ + 6066, + 11519 + ], + [ + 495, + 6440 + ], + [ + 4147, + 10317 + ], + [ + 10212, + 10269 + ], + [ + 4916, + 7115 + ], + [ + 1306, + 8345 + ], + [ + 530, + 2462 + ], + [ + 3805, + 9799 + ], + [ + 8774, + 10114 + ], + [ + 3490, + 8475 + ], + [ + 3679, + 11380 + ], + [ + 5441, + 8434 + ], + [ + 8798, + 9010 + ], + [ + 9018, + 10474 + ], + [ + 1976, + 4383 + ], + [ + 57, + 9597 + ], + [ + 336, + 2596 + ], + [ + 5910, + 11356 + ], + [ + 1547, + 1991 + ], + [ + 5090, + 10836 + ], + [ + 3078, + 6437 + ], + [ + 2259, + 10306 + ], + [ + 3288, + 7967 + ], + [ + 170, + 10413 + ], + [ + 299, + 6097 + ], + [ + 17, + 3001 + ], + [ + 6272, + 8712 + ], + [ + 379, + 7554 + ], + [ + 4830, + 6186 + ], + [ + 3615, + 9301 + ], + [ + 3221, + 3712 + ], + [ + 7508, + 9857 + ], + [ + 5369, + 10601 + ], + [ + 9003, + 9011 + ], + [ + 8934, + 11126 + ], + [ + 2836, + 8782 + ], + [ + 1248, + 7185 + ], + [ + 475, + 4983 + ], + [ + 8790, + 11347 + ], + [ + 3329, + 9846 + ], + [ + 2238, + 4891 + ], + [ + 3333, + 6555 + ], + [ + 5879, + 7855 + ], + [ + 242, + 10824 + ], + [ + 1248, + 7535 + ], + [ + 2487, + 2562 + ], + [ + 3753, + 8080 + ], + [ + 9078, + 10474 + ], + [ + 2258, + 2510 + ], + [ + 432, + 1499 + ], + [ + 2390, + 2629 + ], + [ + 1708, + 8459 + ], + [ + 1574, + 6015 + ], + [ + 8265, + 10371 + ], + [ + 9628, + 11291 + ], + [ + 13, + 11122 + ], + [ + 2664, + 10718 + ], + [ + 2929, + 5539 + ], + [ + 1127, + 11338 + ], + [ + 4618, + 7942 + ], + [ + 4709, + 7306 + ], + [ + 10156, + 10629 + ], + [ + 1940, + 7654 + ], + [ + 3901, + 8301 + ], + [ + 1804, + 4383 + ], + [ + 3457, + 11293 + ], + [ + 1213, + 7325 + ], + [ + 9769, + 10368 + ], + [ + 3024, + 11411 + ], + [ + 3385, + 5940 + ], + [ + 4570, + 10530 + ], + [ + 122, + 9163 + ], + [ + 2522, + 7228 + ], + [ + 9511, + 9551 + ], + [ + 6462, + 6876 + ], + [ + 8177, + 10500 + ], + [ + 6071, + 7220 + ], + [ + 10510, + 10753 + ], + [ + 1300, + 6920 + ], + [ + 9882, + 11184 + ], + [ + 6497, + 9314 + ], + [ + 4508, + 6619 + ], + [ + 7147, + 10362 + ], + [ + 6951, + 7040 + ], + [ + 7236, + 9653 + ], + [ + 3623, + 5704 + ], + [ + 3105, + 4021 + ], + [ + 2379, + 3163 + ], + [ + 8084, + 11440 + ], + [ + 4840, + 8297 + ], + [ + 6237, + 11080 + ], + [ + 4833, + 4874 + ], + [ + 1906, + 11052 + ], + [ + 5514, + 8241 + ], + [ + 7924, + 10404 + ], + [ + 2468, + 5837 + ], + [ + 3121, + 4904 + ], + [ + 4526, + 7548 + ], + [ + 223, + 8814 + ], + [ + 3584, + 9509 + ], + [ + 5511, + 11326 + ], + [ + 2951, + 5432 + ], + [ + 6913, + 8037 + ], + [ + 4103, + 7630 + ], + [ + 8590, + 8925 + ], + [ + 211, + 4266 + ], + [ + 178, + 8290 + ], + [ + 959, + 8855 + ], + [ + 3420, + 7573 + ], + [ + 2510, + 4908 + ], + [ + 3723, + 5130 + ], + [ + 9335, + 10210 + ], + [ + 1921, + 4513 + ], + [ + 5496, + 5726 + ], + [ + 5840, + 10454 + ], + [ + 5716, + 7944 + ], + [ + 8517, + 10517 + ], + [ + 728, + 9107 + ], + [ + 4186, + 9735 + ], + [ + 6808, + 10091 + ], + [ + 3310, + 5900 + ], + [ + 1608, + 3235 + ], + [ + 6279, + 10501 + ], + [ + 3777, + 8749 + ], + [ + 3408, + 6408 + ], + [ + 1066, + 6069 + ], + [ + 1561, + 6048 + ], + [ + 4116, + 5182 + ], + [ + 2338, + 9123 + ], + [ + 6851, + 8633 + ], + [ + 1748, + 5874 + ], + [ + 4767, + 9838 + ], + [ + 182, + 1592 + ], + [ + 1224, + 6628 + ], + [ + 7602, + 11241 + ], + [ + 2215, + 7969 + ], + [ + 1248, + 4770 + ], + [ + 594, + 10396 + ], + [ + 3827, + 8462 + ], + [ + 3576, + 4679 + ], + [ + 3016, + 9186 + ], + [ + 9268, + 11216 + ], + [ + 6339, + 9397 + ], + [ + 3911, + 10038 + ], + [ + 6244, + 10291 + ], + [ + 2885, + 3226 + ], + [ + 4471, + 8914 + ], + [ + 4526, + 8621 + ], + [ + 6804, + 9167 + ], + [ + 3159, + 5680 + ], + [ + 7861, + 8095 + ], + [ + 2252, + 6696 + ], + [ + 5467, + 9818 + ], + [ + 5113, + 9320 + ], + [ + 9321, + 10446 + ], + [ + 6365, + 8716 + ], + [ + 5122, + 9783 + ], + [ + 2746, + 6450 + ], + [ + 2940, + 9699 + ], + [ + 8284, + 9137 + ], + [ + 2346, + 8960 + ], + [ + 1904, + 2199 + ], + [ + 1835, + 4314 + ], + [ + 5800, + 6436 + ], + [ + 2710, + 3760 + ], + [ + 595, + 9062 + ], + [ + 2059, + 8903 + ], + [ + 8621, + 9661 + ], + [ + 1995, + 4946 + ], + [ + 185, + 10884 + ], + [ + 625, + 11156 + ], + [ + 9563, + 10329 + ], + [ + 4541, + 6246 + ], + [ + 4477, + 4541 + ], + [ + 5067, + 5538 + ], + [ + 10987, + 11525 + ], + [ + 7928, + 8162 + ], + [ + 2508, + 9668 + ], + [ + 6847, + 8059 + ], + [ + 5973, + 11467 + ], + [ + 1453, + 3616 + ], + [ + 214, + 6337 + ], + [ + 6026, + 10347 + ], + [ + 5972, + 7078 + ], + [ + 507, + 2425 + ], + [ + 1785, + 3796 + ], + [ + 642, + 8477 + ], + [ + 4928, + 5352 + ], + [ + 146, + 11279 + ], + [ + 4711, + 6815 + ], + [ + 1944, + 7990 + ], + [ + 4488, + 8463 + ], + [ + 3614, + 5455 + ], + [ + 3804, + 11214 + ], + [ + 1039, + 9052 + ], + [ + 2156, + 2396 + ], + [ + 5182, + 9783 + ], + [ + 506, + 6337 + ], + [ + 4676, + 4727 + ], + [ + 4454, + 5846 + ], + [ + 1410, + 4269 + ], + [ + 2559, + 9202 + ], + [ + 3146, + 6518 + ], + [ + 4610, + 6359 + ], + [ + 5446, + 6631 + ], + [ + 4821, + 10743 + ], + [ + 4430, + 11087 + ], + [ + 4976, + 8402 + ], + [ + 2806, + 3417 + ], + [ + 3642, + 3689 + ], + [ + 2079, + 9504 + ], + [ + 1673, + 8062 + ], + [ + 2, + 4710 + ], + [ + 3455, + 4994 + ], + [ + 4327, + 7175 + ], + [ + 9617, + 9760 + ], + [ + 8619, + 11412 + ], + [ + 7308, + 7649 + ], + [ + 985, + 7661 + ], + [ + 4257, + 9065 + ], + [ + 2077, + 3392 + ], + [ + 1022, + 3756 + ], + [ + 3594, + 6277 + ], + [ + 4628, + 5036 + ], + [ + 5780, + 9486 + ], + [ + 5341, + 6406 + ], + [ + 81, + 2909 + ], + [ + 912, + 2837 + ], + [ + 1538, + 5743 + ], + [ + 1970, + 1990 + ], + [ + 2625, + 9798 + ], + [ + 4094, + 7731 + ], + [ + 2191, + 7062 + ], + [ + 2134, + 6528 + ], + [ + 4454, + 11457 + ], + [ + 259, + 10536 + ], + [ + 6816, + 10950 + ], + [ + 4142, + 10404 + ], + [ + 1938, + 5835 + ], + [ + 312, + 7918 + ], + [ + 1864, + 7606 + ], + [ + 3488, + 9614 + ], + [ + 3579, + 11230 + ], + [ + 5107, + 6360 + ], + [ + 3482, + 11297 + ], + [ + 6625, + 10601 + ], + [ + 340, + 517 + ], + [ + 4016, + 8952 + ], + [ + 2450, + 3916 + ], + [ + 3100, + 5718 + ], + [ + 3700, + 9655 + ], + [ + 956, + 1954 + ], + [ + 5935, + 7121 + ], + [ + 3378, + 7160 + ], + [ + 6518, + 9199 + ], + [ + 8928, + 11362 + ], + [ + 3030, + 3444 + ], + [ + 4994, + 7772 + ], + [ + 1847, + 9480 + ], + [ + 1822, + 11113 + ], + [ + 7417, + 10170 + ], + [ + 3398, + 5533 + ], + [ + 719, + 8807 + ], + [ + 510, + 10131 + ], + [ + 448, + 7001 + ], + [ + 3087, + 10744 + ], + [ + 855, + 11297 + ], + [ + 3374, + 3604 + ], + [ + 6512, + 8980 + ], + [ + 7728, + 9473 + ], + [ + 118, + 10280 + ], + [ + 2614, + 8053 + ], + [ + 434, + 1626 + ], + [ + 652, + 9433 + ], + [ + 4454, + 7619 + ], + [ + 1866, + 6847 + ], + [ + 4010, + 4195 + ], + [ + 1048, + 6400 + ], + [ + 516, + 7293 + ], + [ + 2890, + 9799 + ], + [ + 1135, + 9028 + ], + [ + 574, + 10681 + ], + [ + 2601, + 3280 + ], + [ + 3905, + 5872 + ], + [ + 6993, + 11131 + ], + [ + 4495, + 6869 + ], + [ + 6117, + 8050 + ], + [ + 9267, + 10777 + ], + [ + 1855, + 2901 + ], + [ + 9363, + 10485 + ], + [ + 3162, + 9174 + ], + [ + 6297, + 6705 + ], + [ + 2009, + 9003 + ], + [ + 5302, + 11284 + ], + [ + 39, + 4106 + ], + [ + 639, + 2381 + ], + [ + 3687, + 11247 + ], + [ + 2567, + 4800 + ], + [ + 807, + 3685 + ], + [ + 7291, + 10946 + ], + [ + 626, + 641 + ], + [ + 10687, + 10696 + ], + [ + 6640, + 9673 + ], + [ + 4422, + 7680 + ], + [ + 5879, + 10514 + ], + [ + 96, + 7242 + ], + [ + 4046, + 8332 + ], + [ + 626, + 991 + ], + [ + 8334, + 9417 + ], + [ + 1961, + 2896 + ], + [ + 1558, + 8141 + ], + [ + 6995, + 10022 + ], + [ + 8277, + 8883 + ], + [ + 6964, + 8457 + ], + [ + 10455, + 11477 + ], + [ + 923, + 7401 + ], + [ + 2824, + 11407 + ], + [ + 438, + 8110 + ], + [ + 677, + 3962 + ], + [ + 8677, + 9002 + ], + [ + 4976, + 9370 + ], + [ + 2077, + 4010 + ], + [ + 4373, + 10797 + ], + [ + 4994, + 9195 + ], + [ + 3913, + 9092 + ], + [ + 4873, + 11120 + ], + [ + 598, + 1602 + ], + [ + 1222, + 4435 + ], + [ + 5989, + 7999 + ], + [ + 2477, + 4102 + ], + [ + 5925, + 10458 + ], + [ + 1844, + 3435 + ], + [ + 811, + 6032 + ], + [ + 2244, + 10724 + ], + [ + 3560, + 8415 + ], + [ + 4614, + 10078 + ], + [ + 9866, + 9927 + ], + [ + 3923, + 9406 + ], + [ + 1748, + 10493 + ], + [ + 1146, + 5729 + ], + [ + 6914, + 11322 + ], + [ + 2432, + 11125 + ], + [ + 7998, + 9444 + ], + [ + 1611, + 6997 + ], + [ + 611, + 5570 + ], + [ + 8339, + 8956 + ], + [ + 1088, + 8353 + ], + [ + 2908, + 9549 + ], + [ + 1290, + 11493 + ], + [ + 956, + 5955 + ], + [ + 8636, + 11579 + ], + [ + 2693, + 11058 + ], + [ + 6960, + 7129 + ], + [ + 2409, + 11299 + ], + [ + 7542, + 9736 + ], + [ + 5680, + 9068 + ], + [ + 969, + 2403 + ], + [ + 1758, + 6993 + ], + [ + 4115, + 5388 + ], + [ + 247, + 2418 + ], + [ + 4178, + 9874 + ], + [ + 8381, + 10656 + ], + [ + 2280, + 3133 + ], + [ + 2364, + 7742 + ], + [ + 1649, + 8928 + ], + [ + 615, + 8671 + ], + [ + 3574, + 7666 + ], + [ + 929, + 9770 + ], + [ + 2328, + 2800 + ], + [ + 7023, + 10460 + ], + [ + 2849, + 8164 + ], + [ + 2824, + 3381 + ], + [ + 449, + 10072 + ], + [ + 3492, + 11424 + ], + [ + 300, + 3533 + ], + [ + 2462, + 7122 + ], + [ + 4368, + 8062 + ], + [ + 6453, + 8213 + ], + [ + 407, + 6813 + ], + [ + 2225, + 11316 + ], + [ + 1907, + 6311 + ], + [ + 658, + 4180 + ], + [ + 6483, + 10307 + ], + [ + 3455, + 9263 + ], + [ + 7408, + 9870 + ], + [ + 9116, + 10071 + ], + [ + 687, + 6049 + ], + [ + 38, + 1439 + ], + [ + 3830, + 7605 + ], + [ + 9622, + 11340 + ], + [ + 1341, + 10222 + ], + [ + 1697, + 10823 + ], + [ + 2382, + 5264 + ], + [ + 921, + 11356 + ], + [ + 5817, + 10604 + ], + [ + 1958, + 3216 + ], + [ + 1861, + 9699 + ], + [ + 1634, + 10474 + ], + [ + 576, + 741 + ], + [ + 4220, + 4757 + ], + [ + 4973, + 9690 + ], + [ + 3729, + 7149 + ], + [ + 4216, + 7267 + ], + [ + 114, + 121 + ], + [ + 824, + 8390 + ], + [ + 1290, + 3467 + ], + [ + 2910, + 7985 + ], + [ + 11, + 2625 + ], + [ + 602, + 8728 + ], + [ + 5392, + 10990 + ], + [ + 9714, + 9774 + ], + [ + 2119, + 10115 + ], + [ + 4150, + 9249 + ], + [ + 7877, + 8604 + ], + [ + 4427, + 7837 + ], + [ + 3615, + 5707 + ], + [ + 251, + 4714 + ], + [ + 1216, + 11250 + ], + [ + 4886, + 5907 + ], + [ + 1734, + 6517 + ], + [ + 592, + 4225 + ], + [ + 9396, + 11535 + ], + [ + 5820, + 10097 + ], + [ + 6334, + 7874 + ], + [ + 3753, + 7519 + ], + [ + 4904, + 6863 + ], + [ + 7056, + 11242 + ], + [ + 1514, + 11065 + ], + [ + 8272, + 10981 + ], + [ + 3373, + 5019 + ], + [ + 608, + 2857 + ], + [ + 5238, + 9368 + ], + [ + 5339, + 10174 + ], + [ + 262, + 2220 + ], + [ + 1406, + 6809 + ], + [ + 287, + 9632 + ], + [ + 3026, + 11327 + ], + [ + 1033, + 11142 + ], + [ + 1602, + 7098 + ], + [ + 5428, + 6432 + ], + [ + 2121, + 5219 + ], + [ + 65, + 1302 + ], + [ + 5414, + 8254 + ], + [ + 3423, + 11148 + ], + [ + 10332, + 11233 + ], + [ + 9363, + 11371 + ], + [ + 1243, + 2442 + ], + [ + 4167, + 8798 + ], + [ + 1302, + 9438 + ], + [ + 5689, + 10529 + ], + [ + 2972, + 6903 + ], + [ + 2352, + 11359 + ], + [ + 8942, + 9247 + ], + [ + 1204, + 9280 + ], + [ + 1293, + 2155 + ], + [ + 3748, + 9753 + ], + [ + 3443, + 9871 + ], + [ + 1506, + 3202 + ], + [ + 418, + 7590 + ], + [ + 1878, + 2027 + ], + [ + 2626, + 6616 + ], + [ + 5694, + 6335 + ], + [ + 9210, + 10351 + ], + [ + 2744, + 3639 + ], + [ + 3303, + 5323 + ], + [ + 3370, + 7299 + ], + [ + 2530, + 9537 + ], + [ + 1780, + 8285 + ], + [ + 652, + 9864 + ], + [ + 270, + 7318 + ], + [ + 7156, + 9863 + ], + [ + 5254, + 5632 + ], + [ + 2298, + 10318 + ], + [ + 6646, + 8071 + ], + [ + 853, + 4111 + ], + [ + 1730, + 10800 + ], + [ + 1477, + 6944 + ], + [ + 2701, + 10708 + ], + [ + 4367, + 8054 + ], + [ + 232, + 11348 + ], + [ + 3441, + 4856 + ], + [ + 789, + 5789 + ], + [ + 548, + 6858 + ], + [ + 4459, + 4610 + ], + [ + 417, + 10347 + ], + [ + 3092, + 7331 + ], + [ + 819, + 7883 + ], + [ + 1039, + 10101 + ], + [ + 3274, + 9065 + ], + [ + 880, + 8536 + ], + [ + 5701, + 6701 + ], + [ + 3336, + 6910 + ], + [ + 5817, + 10067 + ], + [ + 1834, + 4333 + ], + [ + 9235, + 11296 + ], + [ + 1561, + 8870 + ], + [ + 8591, + 11194 + ], + [ + 3085, + 6510 + ], + [ + 618, + 3813 + ], + [ + 1586, + 4204 + ], + [ + 6410, + 7548 + ], + [ + 1383, + 3121 + ], + [ + 8182, + 9454 + ], + [ + 3380, + 9841 + ], + [ + 8982, + 10069 + ], + [ + 4477, + 8168 + ], + [ + 4655, + 10160 + ], + [ + 1013, + 1309 + ], + [ + 7676, + 10787 + ], + [ + 2225, + 3558 + ], + [ + 8644, + 10424 + ], + [ + 2135, + 4796 + ], + [ + 2469, + 3918 + ], + [ + 3962, + 9415 + ], + [ + 3750, + 11222 + ], + [ + 2346, + 11432 + ], + [ + 7198, + 11162 + ], + [ + 2069, + 6428 + ], + [ + 257, + 11539 + ], + [ + 3899, + 8312 + ], + [ + 2715, + 6576 + ], + [ + 6075, + 10833 + ], + [ + 3499, + 10822 + ], + [ + 132, + 10312 + ], + [ + 5385, + 10386 + ], + [ + 3868, + 10130 + ], + [ + 2266, + 6191 + ], + [ + 7025, + 9140 + ], + [ + 9738, + 11112 + ], + [ + 4881, + 5376 + ], + [ + 1271, + 11524 + ], + [ + 2765, + 6289 + ], + [ + 8169, + 10696 + ], + [ + 1897, + 11397 + ], + [ + 372, + 9368 + ], + [ + 10549, + 10738 + ], + [ + 1573, + 8075 + ], + [ + 2543, + 11545 + ], + [ + 389, + 6339 + ], + [ + 6311, + 10147 + ], + [ + 180, + 6165 + ], + [ + 2288, + 3856 + ], + [ + 7741, + 8125 + ], + [ + 2277, + 2943 + ], + [ + 1815, + 10991 + ], + [ + 542, + 4302 + ], + [ + 2498, + 8769 + ], + [ + 1346, + 9200 + ], + [ + 2368, + 8696 + ], + [ + 1817, + 11037 + ], + [ + 2655, + 5720 + ], + [ + 1129, + 5001 + ], + [ + 1774, + 7957 + ], + [ + 2627, + 10088 + ], + [ + 6127, + 10218 + ], + [ + 5834, + 6933 + ], + [ + 3305, + 6768 + ], + [ + 9088, + 10040 + ], + [ + 6572, + 10834 + ], + [ + 7666, + 9644 + ], + [ + 9113, + 11036 + ], + [ + 2955, + 2979 + ], + [ + 4109, + 8256 + ], + [ + 2017, + 4682 + ], + [ + 5542, + 6532 + ], + [ + 1247, + 5407 + ], + [ + 1837, + 9410 + ], + [ + 557, + 4960 + ], + [ + 6785, + 8848 + ], + [ + 3514, + 8046 + ], + [ + 2175, + 8651 + ], + [ + 5403, + 6373 + ], + [ + 4821, + 7149 + ], + [ + 4666, + 10244 + ], + [ + 6536, + 10773 + ], + [ + 307, + 8168 + ], + [ + 6558, + 6590 + ], + [ + 4978, + 11270 + ], + [ + 3168, + 3622 + ], + [ + 2043, + 4001 + ], + [ + 652, + 10832 + ], + [ + 726, + 1921 + ], + [ + 304, + 7116 + ], + [ + 8296, + 8885 + ], + [ + 4841, + 5522 + ], + [ + 5178, + 10577 + ], + [ + 6093, + 7170 + ], + [ + 2434, + 2876 + ], + [ + 1253, + 4821 + ], + [ + 4896, + 8612 + ], + [ + 402, + 484 + ], + [ + 1807, + 9544 + ], + [ + 8718, + 10456 + ], + [ + 3145, + 10966 + ], + [ + 1650, + 5396 + ], + [ + 3461, + 6476 + ], + [ + 1871, + 10468 + ], + [ + 4519, + 5629 + ], + [ + 2673, + 5494 + ], + [ + 2560, + 11444 + ], + [ + 10086, + 10966 + ], + [ + 7345, + 9198 + ], + [ + 4692, + 7277 + ], + [ + 7147, + 8459 + ], + [ + 2950, + 4459 + ], + [ + 2050, + 2482 + ], + [ + 4875, + 9613 + ], + [ + 8966, + 10154 + ], + [ + 3670, + 7000 + ], + [ + 8424, + 10359 + ], + [ + 2042, + 8256 + ], + [ + 4067, + 10608 + ], + [ + 4963, + 8679 + ], + [ + 665, + 11043 + ], + [ + 2904, + 10880 + ], + [ + 5397, + 9136 + ], + [ + 419, + 10987 + ], + [ + 6140, + 6211 + ], + [ + 173, + 1132 + ], + [ + 3466, + 5665 + ], + [ + 7948, + 10780 + ], + [ + 7227, + 10266 + ], + [ + 3055, + 4633 + ], + [ + 1545, + 7800 + ], + [ + 1134, + 6768 + ], + [ + 1430, + 3154 + ], + [ + 7443, + 8578 + ], + [ + 9750, + 9862 + ], + [ + 7859, + 10708 + ], + [ + 376, + 7126 + ], + [ + 4051, + 5537 + ], + [ + 4228, + 4675 + ], + [ + 2989, + 3232 + ], + [ + 659, + 6660 + ], + [ + 3867, + 7113 + ], + [ + 932, + 5506 + ], + [ + 151, + 5695 + ], + [ + 90, + 7671 + ], + [ + 3924, + 11030 + ], + [ + 2484, + 11583 + ], + [ + 6410, + 7361 + ], + [ + 6088, + 11282 + ], + [ + 3502, + 11337 + ], + [ + 4539, + 8859 + ], + [ + 1858, + 4890 + ], + [ + 4654, + 7119 + ], + [ + 5125, + 6704 + ], + [ + 4371, + 10214 + ], + [ + 1043, + 8878 + ], + [ + 4002, + 6375 + ], + [ + 1634, + 7067 + ], + [ + 1406, + 4207 + ], + [ + 3496, + 11118 + ], + [ + 2433, + 4424 + ], + [ + 7223, + 9692 + ], + [ + 1738, + 3633 + ], + [ + 1997, + 11441 + ], + [ + 6477, + 11565 + ], + [ + 2802, + 5984 + ], + [ + 1613, + 8068 + ], + [ + 1951, + 8063 + ], + [ + 244, + 4300 + ], + [ + 1419, + 4038 + ], + [ + 866, + 10470 + ], + [ + 1885, + 3279 + ], + [ + 4597, + 5780 + ], + [ + 2160, + 8587 + ], + [ + 2693, + 4886 + ], + [ + 5371, + 8557 + ], + [ + 5827, + 6356 + ], + [ + 3805, + 9937 + ], + [ + 6105, + 8552 + ], + [ + 1960, + 10404 + ], + [ + 7846, + 11145 + ], + [ + 2247, + 10434 + ], + [ + 1285, + 10989 + ], + [ + 4518, + 9055 + ], + [ + 7387, + 10042 + ], + [ + 9405, + 11223 + ], + [ + 3830, + 8654 + ], + [ + 1428, + 4100 + ], + [ + 6438, + 10832 + ], + [ + 3795, + 9599 + ], + [ + 309, + 507 + ], + [ + 5730, + 9025 + ], + [ + 4505, + 5036 + ], + [ + 6748, + 8779 + ], + [ + 3565, + 10076 + ], + [ + 7235, + 8897 + ], + [ + 791, + 10080 + ], + [ + 6620, + 7281 + ], + [ + 7614, + 8893 + ], + [ + 1139, + 10763 + ], + [ + 2316, + 11328 + ], + [ + 10139, + 11568 + ], + [ + 10077, + 10690 + ], + [ + 3183, + 10913 + ], + [ + 3403, + 8967 + ], + [ + 4597, + 4975 + ], + [ + 8860, + 10726 + ], + [ + 5866, + 8512 + ], + [ + 1604, + 5615 + ], + [ + 3588, + 5714 + ], + [ + 3684, + 5422 + ], + [ + 3988, + 8839 + ], + [ + 4096, + 10062 + ], + [ + 4963, + 9647 + ], + [ + 417, + 7745 + ], + [ + 3400, + 9046 + ], + [ + 286, + 2566 + ], + [ + 2345, + 10164 + ], + [ + 4083, + 9076 + ], + [ + 7877, + 9653 + ], + [ + 6732, + 7091 + ], + [ + 2954, + 4795 + ], + [ + 2150, + 9696 + ], + [ + 529, + 11369 + ], + [ + 3511, + 5652 + ], + [ + 7556, + 10012 + ], + [ + 3731, + 7870 + ], + [ + 6876, + 10253 + ], + [ + 3047, + 4205 + ], + [ + 4695, + 10771 + ], + [ + 493, + 2263 + ], + [ + 8017, + 8128 + ], + [ + 7431, + 11414 + ], + [ + 273, + 7592 + ], + [ + 5364, + 9590 + ], + [ + 176, + 9911 + ], + [ + 5191, + 11325 + ], + [ + 6671, + 8693 + ], + [ + 4969, + 6028 + ], + [ + 4984, + 6336 + ], + [ + 3532, + 7229 + ], + [ + 760, + 3896 + ], + [ + 3, + 1473 + ], + [ + 1873, + 6920 + ], + [ + 6, + 5154 + ], + [ + 4176, + 10714 + ], + [ + 1590, + 10015 + ], + [ + 8694, + 11322 + ], + [ + 5907, + 6203 + ], + [ + 683, + 11031 + ], + [ + 3761, + 5776 + ], + [ + 3365, + 5776 + ], + [ + 70, + 6832 + ], + [ + 37, + 10856 + ], + [ + 6040, + 9176 + ], + [ + 4763, + 4997 + ], + [ + 1652, + 7860 + ], + [ + 5043, + 7266 + ], + [ + 4749, + 6819 + ], + [ + 9120, + 9629 + ], + [ + 4015, + 10207 + ], + [ + 1370, + 8147 + ], + [ + 3817, + 6058 + ], + [ + 1327, + 5067 + ], + [ + 5277, + 6157 + ], + [ + 8236, + 9316 + ], + [ + 4036, + 8051 + ], + [ + 4898, + 9544 + ], + [ + 3680, + 6726 + ], + [ + 2035, + 3841 + ], + [ + 5064, + 8493 + ], + [ + 4501, + 9319 + ], + [ + 6645, + 6667 + ], + [ + 9855, + 10199 + ], + [ + 1753, + 10544 + ], + [ + 1854, + 11350 + ], + [ + 1275, + 4503 + ], + [ + 3052, + 9759 + ], + [ + 810, + 2454 + ], + [ + 6611, + 10439 + ], + [ + 2024, + 5530 + ], + [ + 1715, + 8158 + ], + [ + 5297, + 10542 + ], + [ + 3074, + 4041 + ], + [ + 7404, + 11014 + ], + [ + 8216, + 10892 + ], + [ + 33, + 6145 + ], + [ + 2297, + 10765 + ], + [ + 3701, + 8303 + ], + [ + 8372, + 11405 + ], + [ + 10359, + 11021 + ], + [ + 2673, + 7080 + ], + [ + 3377, + 4981 + ], + [ + 8953, + 10404 + ], + [ + 8586, + 8890 + ], + [ + 5644, + 6866 + ], + [ + 4477, + 6989 + ], + [ + 5191, + 6332 + ], + [ + 3376, + 11172 + ], + [ + 2732, + 11070 + ], + [ + 5647, + 10547 + ], + [ + 4059, + 4786 + ], + [ + 5986, + 10013 + ], + [ + 201, + 6668 + ], + [ + 3124, + 3754 + ], + [ + 3528, + 7779 + ], + [ + 749, + 1023 + ], + [ + 2818, + 10063 + ], + [ + 4714, + 9561 + ], + [ + 10024, + 10169 + ], + [ + 8101, + 11477 + ], + [ + 8815, + 10820 + ], + [ + 2435, + 3128 + ], + [ + 1817, + 4247 + ], + [ + 905, + 4919 + ], + [ + 3174, + 9883 + ], + [ + 8062, + 9270 + ], + [ + 1054, + 8425 + ], + [ + 963, + 2645 + ], + [ + 4326, + 5665 + ], + [ + 465, + 8030 + ], + [ + 7218, + 7602 + ], + [ + 3959, + 4151 + ], + [ + 1896, + 5479 + ], + [ + 5380, + 11492 + ], + [ + 2604, + 4253 + ], + [ + 4624, + 6261 + ], + [ + 3070, + 5746 + ], + [ + 52, + 3138 + ], + [ + 831, + 9292 + ], + [ + 1505, + 2066 + ], + [ + 577, + 9375 + ], + [ + 1635, + 7774 + ], + [ + 1506, + 5674 + ], + [ + 1294, + 7481 + ], + [ + 293, + 3200 + ], + [ + 9475, + 11401 + ], + [ + 2844, + 7096 + ], + [ + 2467, + 11310 + ], + [ + 4127, + 5805 + ], + [ + 1264, + 3108 + ], + [ + 5333, + 7862 + ], + [ + 3779, + 10757 + ], + [ + 1042, + 4227 + ], + [ + 8545, + 9215 + ], + [ + 4345, + 7196 + ], + [ + 126, + 7409 + ], + [ + 690, + 3021 + ], + [ + 7131, + 7956 + ], + [ + 6286, + 9850 + ], + [ + 2005, + 2739 + ], + [ + 5785, + 11554 + ], + [ + 1595, + 10977 + ], + [ + 3233, + 4023 + ], + [ + 7912, + 11150 + ], + [ + 4667, + 11569 + ], + [ + 5794, + 6355 + ], + [ + 1307, + 1650 + ], + [ + 2831, + 5706 + ], + [ + 806, + 3354 + ], + [ + 10389, + 10401 + ], + [ + 2266, + 4207 + ], + [ + 3885, + 5117 + ], + [ + 9612, + 10709 + ], + [ + 4008, + 9654 + ], + [ + 3695, + 4993 + ], + [ + 3538, + 11425 + ], + [ + 8333, + 9867 + ], + [ + 1115, + 1830 + ], + [ + 8828, + 9846 + ], + [ + 6671, + 8506 + ], + [ + 762, + 7569 + ], + [ + 9724, + 11300 + ], + [ + 4208, + 6682 + ], + [ + 4276, + 10758 + ], + [ + 1198, + 3935 + ], + [ + 1406, + 4638 + ], + [ + 2027, + 7200 + ], + [ + 3085, + 5599 + ], + [ + 5769, + 7587 + ], + [ + 1037, + 6461 + ], + [ + 8664, + 9041 + ], + [ + 7599, + 8717 + ], + [ + 9561, + 10720 + ], + [ + 722, + 4356 + ], + [ + 5383, + 6770 + ], + [ + 1021, + 10839 + ], + [ + 1052, + 5988 + ], + [ + 723, + 7210 + ], + [ + 1513, + 11301 + ], + [ + 10761, + 11454 + ], + [ + 900, + 6348 + ], + [ + 4659, + 10122 + ], + [ + 526, + 3663 + ], + [ + 3255, + 3916 + ], + [ + 390, + 10972 + ], + [ + 8953, + 11022 + ], + [ + 2482, + 8130 + ], + [ + 519, + 6656 + ], + [ + 5933, + 7587 + ], + [ + 5131, + 6145 + ], + [ + 5747, + 8363 + ], + [ + 8297, + 9405 + ], + [ + 4262, + 9897 + ], + [ + 833, + 2093 + ], + [ + 5091, + 8998 + ], + [ + 9817, + 10309 + ], + [ + 5720, + 9923 + ], + [ + 4409, + 6160 + ], + [ + 3757, + 8449 + ], + [ + 3913, + 8962 + ], + [ + 5451, + 10472 + ], + [ + 480, + 3668 + ], + [ + 2248, + 8084 + ], + [ + 2368, + 8940 + ], + [ + 7256, + 7573 + ], + [ + 10153, + 10608 + ], + [ + 1247, + 8684 + ], + [ + 6515, + 10544 + ], + [ + 2866, + 3932 + ], + [ + 901, + 1631 + ], + [ + 1310, + 6754 + ], + [ + 10119, + 10243 + ], + [ + 1989, + 7042 + ], + [ + 7253, + 10658 + ], + [ + 3860, + 8927 + ], + [ + 467, + 2278 + ], + [ + 6869, + 7285 + ], + [ + 5630, + 10006 + ], + [ + 6179, + 6838 + ], + [ + 2507, + 4938 + ], + [ + 917, + 2514 + ], + [ + 6395, + 11566 + ], + [ + 6708, + 9811 + ], + [ + 4665, + 6853 + ], + [ + 1293, + 5245 + ], + [ + 5119, + 10241 + ], + [ + 1726, + 8510 + ], + [ + 1129, + 4090 + ], + [ + 4628, + 11135 + ], + [ + 1359, + 6996 + ], + [ + 8136, + 11126 + ], + [ + 6962, + 10078 + ], + [ + 9013, + 11399 + ], + [ + 7915, + 9437 + ], + [ + 3620, + 10564 + ], + [ + 1980, + 8777 + ], + [ + 7828, + 10192 + ], + [ + 561, + 11338 + ], + [ + 5727, + 5751 + ], + [ + 38, + 2114 + ], + [ + 2641, + 10364 + ], + [ + 6135, + 6485 + ], + [ + 1677, + 10846 + ], + [ + 5340, + 8496 + ], + [ + 6902, + 8872 + ], + [ + 3015, + 5852 + ], + [ + 4228, + 6074 + ], + [ + 3511, + 6433 + ], + [ + 394, + 9481 + ], + [ + 1160, + 4850 + ], + [ + 4649, + 4791 + ], + [ + 5870, + 11290 + ], + [ + 4965, + 8969 + ], + [ + 5839, + 9725 + ], + [ + 4067, + 7819 + ], + [ + 10321, + 10676 + ], + [ + 4557, + 5202 + ], + [ + 6449, + 7964 + ], + [ + 1531, + 9866 + ], + [ + 3991, + 5730 + ], + [ + 6076, + 8133 + ], + [ + 1038, + 9933 + ], + [ + 1456, + 1586 + ], + [ + 4948, + 7460 + ], + [ + 2207, + 9856 + ], + [ + 689, + 8998 + ], + [ + 9178, + 10819 + ], + [ + 8899, + 11404 + ], + [ + 6468, + 8364 + ], + [ + 5031, + 6182 + ], + [ + 1822, + 6258 + ], + [ + 717, + 8013 + ], + [ + 1667, + 2937 + ], + [ + 1169, + 4912 + ], + [ + 1017, + 10934 + ], + [ + 3159, + 8209 + ], + [ + 325, + 9660 + ], + [ + 168, + 9676 + ], + [ + 636, + 4826 + ], + [ + 1265, + 8003 + ], + [ + 3624, + 9477 + ], + [ + 4372, + 7650 + ], + [ + 6460, + 7318 + ], + [ + 2723, + 8029 + ], + [ + 4994, + 6650 + ], + [ + 3838, + 6962 + ], + [ + 6386, + 9089 + ], + [ + 4859, + 10397 + ], + [ + 7321, + 9340 + ], + [ + 1688, + 7547 + ], + [ + 1099, + 7152 + ], + [ + 970, + 4298 + ], + [ + 6007, + 9443 + ], + [ + 8653, + 10193 + ], + [ + 185, + 581 + ], + [ + 0, + 801 + ], + [ + 4139, + 10458 + ], + [ + 6811, + 10931 + ], + [ + 5016, + 5069 + ], + [ + 2889, + 8856 + ], + [ + 704, + 8501 + ], + [ + 7529, + 10393 + ], + [ + 7462, + 8417 + ], + [ + 96, + 3892 + ], + [ + 1579, + 8701 + ], + [ + 1171, + 4180 + ], + [ + 3479, + 9072 + ], + [ + 3103, + 9724 + ], + [ + 4399, + 5285 + ], + [ + 908, + 2265 + ], + [ + 1976, + 6270 + ], + [ + 4431, + 10458 + ], + [ + 1475, + 8728 + ], + [ + 8071, + 10568 + ], + [ + 232, + 3379 + ], + [ + 5077, + 7600 + ], + [ + 7255, + 10948 + ], + [ + 4708, + 10177 + ], + [ + 658, + 5473 + ], + [ + 1220, + 6674 + ], + [ + 2276, + 9164 + ], + [ + 1459, + 6690 + ], + [ + 1054, + 8856 + ], + [ + 3459, + 4259 + ], + [ + 3361, + 3724 + ], + [ + 6002, + 8294 + ], + [ + 3242, + 6476 + ], + [ + 4322, + 9360 + ], + [ + 3802, + 11014 + ], + [ + 6773, + 7390 + ], + [ + 11198, + 11217 + ], + [ + 3390, + 5593 + ], + [ + 7712, + 8541 + ], + [ + 4474, + 10131 + ], + [ + 7558, + 8074 + ], + [ + 762, + 5422 + ], + [ + 5161, + 10280 + ], + [ + 5095, + 5496 + ], + [ + 164, + 777 + ], + [ + 7414, + 7571 + ], + [ + 4473, + 9125 + ], + [ + 3501, + 9746 + ], + [ + 4129, + 9315 + ], + [ + 5177, + 7780 + ], + [ + 7860, + 8789 + ], + [ + 2029, + 11515 + ], + [ + 1886, + 8955 + ], + [ + 3001, + 8642 + ], + [ + 9501, + 10020 + ], + [ + 3684, + 5666 + ], + [ + 4372, + 6040 + ], + [ + 6508, + 9162 + ], + [ + 1709, + 6814 + ], + [ + 721, + 8400 + ], + [ + 6486, + 10312 + ], + [ + 2439, + 10043 + ], + [ + 3179, + 7601 + ], + [ + 7726, + 8947 + ], + [ + 1623, + 4007 + ], + [ + 1619, + 7271 + ], + [ + 7498, + 10251 + ], + [ + 1670, + 9488 + ], + [ + 4018, + 4357 + ], + [ + 2762, + 5219 + ], + [ + 7581, + 8973 + ], + [ + 1573, + 6522 + ], + [ + 5714, + 10590 + ], + [ + 2412, + 4059 + ], + [ + 1254, + 7708 + ], + [ + 36, + 726 + ], + [ + 7332, + 8619 + ], + [ + 1198, + 10782 + ], + [ + 3055, + 4690 + ], + [ + 1436, + 3026 + ], + [ + 6774, + 9789 + ], + [ + 4119, + 11205 + ], + [ + 3233, + 6682 + ], + [ + 3714, + 6955 + ], + [ + 8440, + 9764 + ], + [ + 3989, + 8880 + ], + [ + 1038, + 9746 + ], + [ + 842, + 5670 + ], + [ + 5164, + 8618 + ], + [ + 4696, + 7052 + ], + [ + 6447, + 10333 + ], + [ + 6158, + 10230 + ], + [ + 3355, + 4578 + ], + [ + 3215, + 8705 + ], + [ + 1061, + 4253 + ], + [ + 1087, + 3222 + ], + [ + 4944, + 9783 + ], + [ + 1799, + 8154 + ], + [ + 562, + 10167 + ], + [ + 5066, + 8433 + ], + [ + 5780, + 7022 + ], + [ + 768, + 10043 + ], + [ + 8672, + 8959 + ], + [ + 4966, + 8983 + ], + [ + 733, + 10988 + ], + [ + 4681, + 4835 + ], + [ + 3246, + 3480 + ], + [ + 5551, + 8855 + ], + [ + 6017, + 9594 + ], + [ + 7706, + 9745 + ], + [ + 7329, + 9795 + ], + [ + 5426, + 6874 + ], + [ + 479, + 10290 + ], + [ + 3127, + 5451 + ], + [ + 2874, + 5005 + ], + [ + 1974, + 3028 + ], + [ + 563, + 2821 + ], + [ + 595, + 11404 + ], + [ + 4275, + 10913 + ], + [ + 4982, + 8331 + ], + [ + 2592, + 5292 + ], + [ + 7325, + 10026 + ], + [ + 10460, + 10967 + ], + [ + 191, + 10762 + ], + [ + 626, + 9936 + ], + [ + 2744, + 8315 + ], + [ + 7596, + 8045 + ], + [ + 6202, + 8943 + ], + [ + 6847, + 10401 + ], + [ + 1625, + 5476 + ], + [ + 5978, + 7737 + ], + [ + 2831, + 4527 + ], + [ + 308, + 1898 + ], + [ + 3107, + 3644 + ], + [ + 3563, + 7859 + ], + [ + 5472, + 6064 + ], + [ + 2671, + 4245 + ], + [ + 2103, + 4727 + ], + [ + 6863, + 11284 + ], + [ + 41, + 2493 + ], + [ + 7950, + 8169 + ], + [ + 10566, + 10962 + ], + [ + 2620, + 3152 + ], + [ + 1154, + 2484 + ], + [ + 2499, + 5077 + ], + [ + 1561, + 6780 + ], + [ + 6325, + 10073 + ], + [ + 3023, + 9958 + ], + [ + 4114, + 5087 + ], + [ + 7541, + 10566 + ], + [ + 5881, + 6649 + ], + [ + 1559, + 3701 + ], + [ + 3238, + 5416 + ], + [ + 2868, + 6637 + ], + [ + 6603, + 10017 + ], + [ + 2933, + 4780 + ], + [ + 1770, + 3921 + ], + [ + 3745, + 6910 + ], + [ + 1035, + 10871 + ], + [ + 3989, + 7270 + ], + [ + 162, + 10717 + ], + [ + 7161, + 7312 + ], + [ + 1094, + 11451 + ], + [ + 394, + 9562 + ], + [ + 4289, + 6781 + ], + [ + 500, + 10712 + ], + [ + 1649, + 9229 + ], + [ + 3729, + 4872 + ], + [ + 8266, + 9694 + ], + [ + 2102, + 6730 + ], + [ + 6646, + 8559 + ], + [ + 176, + 10773 + ], + [ + 4839, + 7598 + ], + [ + 5611, + 10329 + ], + [ + 9343, + 10028 + ], + [ + 764, + 5281 + ], + [ + 5736, + 9277 + ], + [ + 9189, + 9561 + ], + [ + 2506, + 4312 + ], + [ + 173, + 1807 + ], + [ + 3720, + 8142 + ], + [ + 6731, + 7327 + ], + [ + 5722, + 8066 + ], + [ + 4211, + 8379 + ], + [ + 7034, + 8267 + ], + [ + 2358, + 10456 + ], + [ + 97, + 9517 + ], + [ + 2762, + 8065 + ], + [ + 6743, + 10720 + ], + [ + 4229, + 11587 + ], + [ + 3567, + 6772 + ], + [ + 9246, + 9664 + ], + [ + 6128, + 9104 + ], + [ + 5279, + 10098 + ], + [ + 2325, + 5031 + ], + [ + 6273, + 10956 + ], + [ + 5466, + 9924 + ], + [ + 2644, + 6474 + ], + [ + 304, + 2798 + ], + [ + 2221, + 3927 + ], + [ + 2666, + 8707 + ], + [ + 7729, + 7903 + ], + [ + 7918, + 10808 + ], + [ + 7608, + 9828 + ], + [ + 4019, + 10437 + ], + [ + 8470, + 9069 + ], + [ + 5572, + 6563 + ], + [ + 4796, + 7096 + ], + [ + 1969, + 3302 + ], + [ + 10005, + 11005 + ], + [ + 7753, + 9428 + ], + [ + 7125, + 9859 + ], + [ + 3897, + 5721 + ], + [ + 3398, + 4842 + ], + [ + 602, + 2613 + ], + [ + 932, + 8409 + ], + [ + 2365, + 6685 + ], + [ + 2554, + 9590 + ], + [ + 221, + 2921 + ], + [ + 6296, + 9977 + ], + [ + 2282, + 11346 + ], + [ + 2733, + 5391 + ], + [ + 155, + 10969 + ], + [ + 7089, + 7169 + ], + [ + 7969, + 11123 + ], + [ + 2580, + 7778 + ], + [ + 4039, + 11439 + ], + [ + 4600, + 9786 + ], + [ + 4254, + 9149 + ], + [ + 5813, + 5844 + ], + [ + 2053, + 9015 + ], + [ + 618, + 3496 + ], + [ + 2736, + 6039 + ], + [ + 86, + 10051 + ], + [ + 3052, + 10971 + ], + [ + 3004, + 6793 + ], + [ + 2735, + 8820 + ], + [ + 1448, + 9615 + ], + [ + 2348, + 5176 + ], + [ + 2377, + 4416 + ], + [ + 487, + 1700 + ], + [ + 9702, + 10041 + ], + [ + 7362, + 8617 + ], + [ + 3600, + 4545 + ], + [ + 3625, + 5541 + ], + [ + 6711, + 10727 + ], + [ + 4655, + 6810 + ], + [ + 6055, + 9110 + ], + [ + 7385, + 10671 + ], + [ + 1091, + 9169 + ], + [ + 437, + 9877 + ], + [ + 153, + 4456 + ], + [ + 2176, + 5981 + ], + [ + 6095, + 11168 + ], + [ + 4947, + 9843 + ], + [ + 2715, + 9642 + ], + [ + 1425, + 5258 + ], + [ + 8962, + 11328 + ], + [ + 459, + 11329 + ], + [ + 7744, + 8510 + ], + [ + 1304, + 7183 + ], + [ + 3146, + 9828 + ], + [ + 778, + 10520 + ], + [ + 8930, + 9538 + ], + [ + 6555, + 9813 + ], + [ + 917, + 2758 + ], + [ + 3721, + 11264 + ], + [ + 4760, + 10367 + ], + [ + 2286, + 3493 + ], + [ + 2007, + 4078 + ], + [ + 8796, + 10477 + ], + [ + 2815, + 8718 + ], + [ + 893, + 7999 + ], + [ + 2627, + 9421 + ], + [ + 2816, + 3658 + ], + [ + 7855, + 11128 + ], + [ + 4467, + 9741 + ], + [ + 3084, + 4412 + ], + [ + 4097, + 4546 + ], + [ + 6165, + 9254 + ], + [ + 2443, + 3827 + ], + [ + 6696, + 8890 + ], + [ + 9099, + 10636 + ], + [ + 2031, + 2570 + ], + [ + 2815, + 9068 + ], + [ + 1874, + 4838 + ], + [ + 867, + 8656 + ], + [ + 6947, + 9640 + ], + [ + 2797, + 7738 + ], + [ + 85, + 8620 + ], + [ + 9558, + 11335 + ], + [ + 307, + 1085 + ], + [ + 4413, + 8350 + ], + [ + 7219, + 11267 + ], + [ + 4380, + 5958 + ], + [ + 9216, + 11571 + ], + [ + 1295, + 4380 + ], + [ + 4939, + 7642 + ], + [ + 501, + 6963 + ], + [ + 6936, + 7946 + ], + [ + 4283, + 6025 + ], + [ + 205, + 6443 + ], + [ + 2505, + 10720 + ], + [ + 5440, + 9321 + ], + [ + 643, + 9298 + ], + [ + 6300, + 7735 + ], + [ + 6181, + 6323 + ], + [ + 2752, + 4181 + ], + [ + 665, + 5115 + ], + [ + 6771, + 7320 + ], + [ + 257, + 2846 + ], + [ + 205, + 3410 + ], + [ + 2197, + 9786 + ], + [ + 5179, + 8233 + ], + [ + 1997, + 5968 + ], + [ + 417, + 10648 + ], + [ + 285, + 1861 + ], + [ + 7723, + 8706 + ], + [ + 2499, + 7118 + ], + [ + 2463, + 7461 + ], + [ + 2094, + 9284 + ], + [ + 4489, + 6251 + ], + [ + 2555, + 10433 + ], + [ + 201, + 9303 + ], + [ + 325, + 4643 + ], + [ + 4518, + 4737 + ], + [ + 5225, + 7073 + ], + [ + 1878, + 7939 + ], + [ + 5321, + 7535 + ], + [ + 6847, + 8254 + ], + [ + 3207, + 11527 + ], + [ + 6877, + 9594 + ], + [ + 2586, + 6713 + ], + [ + 6440, + 9593 + ], + [ + 11365, + 11491 + ], + [ + 3012, + 8807 + ], + [ + 2838, + 6934 + ], + [ + 1368, + 9530 + ], + [ + 4131, + 8613 + ], + [ + 4757, + 7355 + ], + [ + 5844, + 9158 + ], + [ + 1057, + 10577 + ], + [ + 6866, + 8654 + ], + [ + 2826, + 8802 + ], + [ + 4746, + 7196 + ], + [ + 1580, + 3936 + ], + [ + 1105, + 6861 + ], + [ + 7871, + 11556 + ], + [ + 2469, + 7252 + ], + [ + 8924, + 10365 + ], + [ + 4903, + 10563 + ], + [ + 8726, + 9626 + ], + [ + 3879, + 4578 + ], + [ + 2716, + 7883 + ], + [ + 381, + 4551 + ], + [ + 4897, + 9994 + ], + [ + 4840, + 9460 + ], + [ + 1312, + 1677 + ], + [ + 193, + 10916 + ], + [ + 327, + 1282 + ], + [ + 2076, + 10152 + ], + [ + 3680, + 10784 + ], + [ + 6510, + 7679 + ], + [ + 5042, + 10348 + ], + [ + 3715, + 6052 + ], + [ + 3835, + 4656 + ], + [ + 2052, + 8253 + ], + [ + 4176, + 10584 + ], + [ + 9923, + 11193 + ], + [ + 1251, + 4003 + ], + [ + 9181, + 10556 + ], + [ + 2082, + 3931 + ], + [ + 1521, + 5584 + ], + [ + 2486, + 8710 + ], + [ + 1925, + 6199 + ], + [ + 3730, + 4081 + ], + [ + 1839, + 4173 + ], + [ + 2243, + 11204 + ], + [ + 52, + 11034 + ], + [ + 4169, + 10544 + ], + [ + 7813, + 10396 + ], + [ + 1022, + 7334 + ], + [ + 1177, + 4993 + ], + [ + 6352, + 10072 + ], + [ + 8422, + 11443 + ], + [ + 2285, + 7673 + ], + [ + 1459, + 8089 + ], + [ + 994, + 6040 + ], + [ + 148, + 4326 + ], + [ + 112, + 8052 + ], + [ + 2634, + 11210 + ], + [ + 10165, + 11049 + ], + [ + 504, + 8283 + ], + [ + 108, + 1867 + ], + [ + 5789, + 10524 + ], + [ + 842, + 7524 + ], + [ + 40, + 6836 + ], + [ + 2924, + 3994 + ], + [ + 7469, + 8677 + ], + [ + 2676, + 10281 + ], + [ + 1554, + 9423 + ], + [ + 8178, + 11059 + ], + [ + 8501, + 9992 + ], + [ + 5915, + 9293 + ], + [ + 5344, + 6094 + ], + [ + 1058, + 3557 + ], + [ + 63, + 11142 + ], + [ + 8993, + 10454 + ], + [ + 188, + 9336 + ], + [ + 1985, + 6576 + ], + [ + 1037, + 7591 + ], + [ + 2105, + 7432 + ], + [ + 2284, + 2479 + ], + [ + 8512, + 10531 + ], + [ + 7175, + 7799 + ], + [ + 7197, + 10032 + ], + [ + 5896, + 6957 + ], + [ + 5798, + 10586 + ], + [ + 3283, + 7818 + ], + [ + 1196, + 8752 + ], + [ + 948, + 10902 + ], + [ + 4520, + 6182 + ], + [ + 1134, + 1458 + ], + [ + 717, + 8525 + ], + [ + 7594, + 9853 + ], + [ + 7623, + 8339 + ], + [ + 1912, + 7387 + ], + [ + 343, + 5840 + ], + [ + 1028, + 3691 + ], + [ + 1817, + 10533 + ], + [ + 5304, + 9647 + ], + [ + 6565, + 9159 + ], + [ + 720, + 9173 + ], + [ + 813, + 5200 + ], + [ + 9806, + 11250 + ], + [ + 6498, + 10566 + ], + [ + 1708, + 6052 + ], + [ + 2448, + 4364 + ], + [ + 5787, + 9242 + ], + [ + 10099, + 11502 + ], + [ + 426, + 1529 + ], + [ + 636, + 2305 + ], + [ + 3266, + 9692 + ], + [ + 3843, + 5566 + ], + [ + 4911, + 5407 + ], + [ + 6026, + 11510 + ], + [ + 2414, + 10415 + ], + [ + 5929, + 11577 + ], + [ + 1547, + 2162 + ], + [ + 2190, + 2793 + ], + [ + 1384, + 10277 + ], + [ + 3091, + 7624 + ], + [ + 9262, + 10224 + ], + [ + 3345, + 10924 + ], + [ + 8350, + 10896 + ], + [ + 2496, + 9666 + ], + [ + 3802, + 5915 + ], + [ + 2491, + 2906 + ], + [ + 6545, + 7729 + ], + [ + 3484, + 10709 + ], + [ + 4702, + 7111 + ], + [ + 9005, + 10009 + ], + [ + 877, + 11385 + ], + [ + 4764, + 7989 + ], + [ + 2486, + 5945 + ], + [ + 2864, + 11001 + ], + [ + 3404, + 8471 + ], + [ + 940, + 9455 + ], + [ + 8810, + 9541 + ], + [ + 250, + 9008 + ], + [ + 470, + 10472 + ], + [ + 3417, + 6454 + ], + [ + 765, + 971 + ], + [ + 4658, + 7943 + ], + [ + 4107, + 10284 + ], + [ + 2961, + 4868 + ], + [ + 2801, + 7619 + ], + [ + 9805, + 10974 + ], + [ + 7615, + 10275 + ], + [ + 5531, + 10726 + ], + [ + 7582, + 7883 + ], + [ + 9364, + 10477 + ], + [ + 7710, + 10512 + ], + [ + 43, + 10785 + ], + [ + 1199, + 6309 + ], + [ + 5347, + 11548 + ], + [ + 1163, + 4400 + ], + [ + 3098, + 3826 + ], + [ + 417, + 6273 + ], + [ + 565, + 6925 + ], + [ + 4814, + 8052 + ], + [ + 2774, + 4668 + ], + [ + 7579, + 10968 + ], + [ + 2909, + 10720 + ], + [ + 4619, + 7584 + ], + [ + 231, + 4016 + ], + [ + 1093, + 5509 + ], + [ + 6977, + 9587 + ], + [ + 8102, + 9962 + ], + [ + 1994, + 4678 + ], + [ + 1536, + 3046 + ], + [ + 4795, + 6497 + ], + [ + 5113, + 5840 + ], + [ + 7248, + 7606 + ], + [ + 7161, + 8361 + ], + [ + 6101, + 9135 + ], + [ + 1175, + 4760 + ], + [ + 1933, + 10037 + ], + [ + 3149, + 9776 + ], + [ + 1372, + 5274 + ], + [ + 2415, + 3395 + ], + [ + 9300, + 11000 + ], + [ + 3352, + 10135 + ], + [ + 4389, + 8411 + ], + [ + 2885, + 5007 + ], + [ + 5906, + 9044 + ], + [ + 1862, + 8292 + ], + [ + 2721, + 3852 + ], + [ + 2098, + 11043 + ], + [ + 4260, + 9694 + ], + [ + 2013, + 8461 + ], + [ + 5210, + 11034 + ], + [ + 1506, + 10350 + ], + [ + 4149, + 5167 + ], + [ + 907, + 2851 + ], + [ + 3463, + 4839 + ], + [ + 875, + 9729 + ], + [ + 5448, + 10044 + ], + [ + 3674, + 11475 + ], + [ + 5539, + 10162 + ], + [ + 962, + 5941 + ], + [ + 163, + 11186 + ], + [ + 1691, + 6316 + ], + [ + 3712, + 4762 + ], + [ + 3519, + 11537 + ], + [ + 4269, + 9783 + ], + [ + 1029, + 4130 + ], + [ + 6378, + 11082 + ], + [ + 2792, + 11208 + ], + [ + 9428, + 9441 + ], + [ + 4910, + 9587 + ], + [ + 1830, + 6101 + ], + [ + 1016, + 9560 + ], + [ + 553, + 7584 + ], + [ + 403, + 4607 + ], + [ + 3259, + 6887 + ], + [ + 1172, + 3657 + ], + [ + 10330, + 11464 + ], + [ + 485, + 2727 + ], + [ + 2720, + 5855 + ], + [ + 1147, + 5290 + ], + [ + 514, + 1213 + ], + [ + 7148, + 9953 + ], + [ + 6929, + 8337 + ], + [ + 6486, + 10019 + ], + [ + 1445, + 1722 + ], + [ + 161, + 6952 + ], + [ + 101, + 485 + ], + [ + 4495, + 4999 + ], + [ + 3559, + 7529 + ], + [ + 386, + 3098 + ], + [ + 8603, + 8927 + ], + [ + 4496, + 7853 + ], + [ + 1841, + 5105 + ], + [ + 571, + 8513 + ], + [ + 3393, + 4793 + ], + [ + 1378, + 3883 + ], + [ + 4950, + 5579 + ], + [ + 1247, + 4366 + ], + [ + 5761, + 7484 + ], + [ + 3206, + 9104 + ], + [ + 3369, + 10034 + ], + [ + 1274, + 2779 + ], + [ + 5668, + 11457 + ], + [ + 1117, + 2795 + ], + [ + 7811, + 11586 + ], + [ + 1806, + 9433 + ], + [ + 1930, + 5527 + ], + [ + 2448, + 7210 + ], + [ + 2494, + 7555 + ], + [ + 3182, + 7175 + ], + [ + 2206, + 3890 + ], + [ + 2610, + 10921 + ], + [ + 9420, + 11027 + ], + [ + 7431, + 8332 + ], + [ + 2636, + 9890 + ], + [ + 1562, + 6040 + ], + [ + 8764, + 9410 + ], + [ + 8891, + 11437 + ], + [ + 1577, + 7102 + ], + [ + 2862, + 8890 + ], + [ + 806, + 809 + ], + [ + 1852, + 9027 + ], + [ + 7216, + 10595 + ], + [ + 8895, + 11556 + ], + [ + 4573, + 9362 + ], + [ + 5220, + 6729 + ], + [ + 360, + 722 + ], + [ + 8143, + 10231 + ], + [ + 3284, + 7078 + ], + [ + 42, + 1352 + ], + [ + 5205, + 9080 + ], + [ + 831, + 5942 + ], + [ + 5919, + 7669 + ], + [ + 951, + 10208 + ], + [ + 581, + 5013 + ], + [ + 5920, + 10523 + ], + [ + 471, + 7127 + ], + [ + 4094, + 9512 + ], + [ + 1256, + 1395 + ], + [ + 5987, + 9466 + ], + [ + 384, + 11265 + ], + [ + 1346, + 7704 + ], + [ + 4132, + 5081 + ], + [ + 3335, + 3983 + ], + [ + 3049, + 9813 + ], + [ + 4363, + 10841 + ], + [ + 2460, + 10172 + ], + [ + 5199, + 11113 + ], + [ + 4263, + 7227 + ], + [ + 9920, + 11326 + ], + [ + 4538, + 9152 + ], + [ + 8266, + 11361 + ], + [ + 492, + 5321 + ], + [ + 3420, + 9167 + ], + [ + 2011, + 2617 + ], + [ + 264, + 5871 + ], + [ + 1987, + 7858 + ], + [ + 2080, + 3885 + ], + [ + 7604, + 8394 + ], + [ + 6513, + 7603 + ], + [ + 5840, + 9015 + ], + [ + 1759, + 2746 + ], + [ + 8660, + 10884 + ], + [ + 8751, + 11002 + ], + [ + 1817, + 1970 + ], + [ + 64, + 2026 + ], + [ + 3021, + 4358 + ], + [ + 6171, + 7085 + ], + [ + 70, + 5978 + ], + [ + 5238, + 6880 + ], + [ + 9159, + 9484 + ], + [ + 2316, + 6986 + ], + [ + 809, + 6317 + ], + [ + 3584, + 6915 + ], + [ + 1808, + 7519 + ], + [ + 7128, + 8815 + ], + [ + 1682, + 2684 + ], + [ + 3082, + 4984 + ], + [ + 10494, + 10608 + ], + [ + 3209, + 11175 + ], + [ + 1959, + 11071 + ], + [ + 4884, + 8984 + ], + [ + 1861, + 1868 + ], + [ + 269, + 9197 + ], + [ + 7146, + 10525 + ], + [ + 3541, + 6437 + ], + [ + 117, + 4639 + ], + [ + 581, + 9469 + ], + [ + 304, + 4465 + ], + [ + 7716, + 10089 + ], + [ + 1200, + 3290 + ], + [ + 4195, + 8358 + ], + [ + 7058, + 7645 + ], + [ + 10408, + 10460 + ], + [ + 2421, + 3373 + ], + [ + 2876, + 3953 + ], + [ + 4314, + 8989 + ], + [ + 386, + 10132 + ], + [ + 355, + 10819 + ], + [ + 6210, + 9241 + ], + [ + 2476, + 6463 + ], + [ + 477, + 3080 + ], + [ + 2223, + 6771 + ], + [ + 9005, + 11245 + ], + [ + 11297, + 11497 + ], + [ + 6424, + 10890 + ], + [ + 4055, + 4564 + ], + [ + 841, + 4296 + ], + [ + 2158, + 11257 + ], + [ + 6700, + 10007 + ], + [ + 5234, + 9339 + ], + [ + 2744, + 10600 + ], + [ + 468, + 5219 + ], + [ + 8307, + 9402 + ], + [ + 4523, + 10267 + ], + [ + 1057, + 8243 + ], + [ + 4608, + 9062 + ], + [ + 317, + 2017 + ], + [ + 5630, + 6306 + ], + [ + 8845, + 9428 + ], + [ + 55, + 3737 + ], + [ + 2517, + 2680 + ], + [ + 837, + 7156 + ], + [ + 1962, + 7531 + ], + [ + 5041, + 5130 + ], + [ + 6500, + 8791 + ], + [ + 5714, + 7882 + ], + [ + 1822, + 4518 + ], + [ + 5954, + 7342 + ], + [ + 830, + 2952 + ], + [ + 3381, + 11012 + ], + [ + 5673, + 11264 + ], + [ + 4457, + 5109 + ], + [ + 3555, + 6469 + ], + [ + 5029, + 11162 + ], + [ + 3811, + 4180 + ], + [ + 3912, + 11402 + ], + [ + 3305, + 5540 + ], + [ + 6794, + 7733 + ], + [ + 7267, + 8145 + ], + [ + 5426, + 8354 + ], + [ + 3430, + 4488 + ], + [ + 1852, + 3579 + ], + [ + 6738, + 8555 + ], + [ + 594, + 10030 + ], + [ + 10274, + 10594 + ], + [ + 8011, + 8828 + ], + [ + 5549, + 6475 + ], + [ + 3057, + 5411 + ], + [ + 9557, + 10953 + ], + [ + 6981, + 10942 + ], + [ + 3702, + 6115 + ], + [ + 2893, + 3502 + ], + [ + 8102, + 8165 + ], + [ + 714, + 7099 + ], + [ + 2825, + 9225 + ], + [ + 4131, + 5474 + ], + [ + 3270, + 9841 + ], + [ + 5541, + 8462 + ], + [ + 4328, + 5988 + ], + [ + 6532, + 10557 + ], + [ + 10446, + 11236 + ], + [ + 3393, + 4956 + ], + [ + 6186, + 6887 + ], + [ + 4156, + 4191 + ], + [ + 960, + 10888 + ], + [ + 4069, + 4946 + ], + [ + 3759, + 6218 + ], + [ + 9858, + 11416 + ], + [ + 2819, + 4842 + ], + [ + 291, + 1869 + ], + [ + 4716, + 5696 + ], + [ + 356, + 6428 + ], + [ + 607, + 10211 + ], + [ + 3222, + 9396 + ], + [ + 5713, + 6825 + ], + [ + 4963, + 5573 + ], + [ + 5304, + 11501 + ], + [ + 3115, + 7994 + ], + [ + 5948, + 6318 + ], + [ + 24, + 5847 + ], + [ + 86, + 309 + ], + [ + 3079, + 9468 + ], + [ + 1923, + 3364 + ], + [ + 6444, + 9905 + ], + [ + 6783, + 7119 + ], + [ + 5346, + 11353 + ], + [ + 9709, + 10138 + ], + [ + 7061, + 8561 + ], + [ + 1956, + 9139 + ], + [ + 4946, + 7447 + ], + [ + 1732, + 9431 + ], + [ + 2329, + 7435 + ], + [ + 1515, + 5232 + ], + [ + 4942, + 9957 + ], + [ + 4880, + 9079 + ], + [ + 3383, + 9098 + ], + [ + 3347, + 7189 + ], + [ + 5121, + 5758 + ], + [ + 1108, + 10735 + ], + [ + 421, + 3389 + ], + [ + 9564, + 10164 + ], + [ + 5214, + 11584 + ], + [ + 8385, + 8772 + ], + [ + 6802, + 7519 + ], + [ + 322, + 9045 + ], + [ + 2908, + 7492 + ], + [ + 6457, + 7484 + ], + [ + 323, + 9647 + ], + [ + 3089, + 9001 + ], + [ + 4639, + 8616 + ], + [ + 8818, + 9004 + ], + [ + 10115, + 10425 + ], + [ + 9812, + 10616 + ], + [ + 8757, + 10980 + ], + [ + 65, + 1660 + ], + [ + 9521, + 9686 + ], + [ + 1157, + 6059 + ], + [ + 472, + 5956 + ], + [ + 4637, + 8920 + ], + [ + 8830, + 9014 + ], + [ + 1063, + 10561 + ], + [ + 2393, + 7204 + ], + [ + 3723, + 8765 + ], + [ + 1046, + 2286 + ], + [ + 340, + 7722 + ], + [ + 206, + 4524 + ], + [ + 1771, + 5171 + ], + [ + 1148, + 5946 + ], + [ + 592, + 7943 + ], + [ + 2476, + 5926 + ], + [ + 8742, + 10298 + ], + [ + 1977, + 9211 + ], + [ + 3317, + 10706 + ], + [ + 2295, + 7800 + ], + [ + 1677, + 8919 + ], + [ + 741, + 11449 + ], + [ + 7425, + 8972 + ], + [ + 78, + 2245 + ], + [ + 6273, + 9403 + ], + [ + 726, + 2466 + ], + [ + 6212, + 9881 + ], + [ + 4401, + 11430 + ], + [ + 2197, + 7615 + ], + [ + 2596, + 11296 + ], + [ + 511, + 2477 + ], + [ + 628, + 3062 + ], + [ + 4055, + 4377 + ], + [ + 2563, + 8904 + ], + [ + 10180, + 10796 + ], + [ + 862, + 1953 + ], + [ + 10517, + 10566 + ], + [ + 5972, + 11518 + ], + [ + 2520, + 6174 + ], + [ + 9586, + 10407 + ], + [ + 954, + 1892 + ], + [ + 4871, + 7006 + ], + [ + 3418, + 10707 + ], + [ + 3946, + 6662 + ], + [ + 7929, + 10144 + ], + [ + 3631, + 5338 + ], + [ + 5900, + 10302 + ], + [ + 5311, + 9907 + ], + [ + 7754, + 10328 + ], + [ + 4865, + 5656 + ], + [ + 2434, + 2616 + ], + [ + 1597, + 8535 + ], + [ + 5384, + 7941 + ], + [ + 8914, + 10135 + ], + [ + 1091, + 4233 + ], + [ + 6794, + 10929 + ], + [ + 4461, + 8424 + ], + [ + 7565, + 10806 + ], + [ + 6660, + 8485 + ], + [ + 6140, + 10139 + ], + [ + 2362, + 3679 + ], + [ + 2401, + 10023 + ], + [ + 3325, + 10142 + ], + [ + 1563, + 6672 + ], + [ + 5472, + 7007 + ], + [ + 7877, + 9580 + ], + [ + 5640, + 9035 + ], + [ + 6318, + 7967 + ], + [ + 1395, + 10279 + ], + [ + 6383, + 6864 + ], + [ + 400, + 9196 + ], + [ + 6496, + 10713 + ], + [ + 8118, + 11140 + ], + [ + 3514, + 3598 + ], + [ + 704, + 3191 + ], + [ + 4592, + 9819 + ], + [ + 3286, + 6400 + ], + [ + 8339, + 10550 + ], + [ + 110, + 2452 + ], + [ + 6066, + 8096 + ], + [ + 1288, + 6625 + ], + [ + 1482, + 9874 + ], + [ + 2910, + 7806 + ], + [ + 2412, + 6775 + ], + [ + 3349, + 7853 + ], + [ + 1666, + 2232 + ], + [ + 8316, + 11505 + ], + [ + 972, + 10711 + ], + [ + 2715, + 3551 + ], + [ + 2, + 1579 + ], + [ + 9540, + 9607 + ], + [ + 8876, + 9627 + ], + [ + 7475, + 10108 + ], + [ + 246, + 1158 + ], + [ + 4671, + 4985 + ], + [ + 5457, + 5894 + ], + [ + 7343, + 11120 + ], + [ + 10054, + 10767 + ], + [ + 2055, + 8581 + ], + [ + 5534, + 7080 + ], + [ + 4573, + 7833 + ], + [ + 4069, + 10020 + ], + [ + 6599, + 10787 + ], + [ + 2237, + 10692 + ], + [ + 3235, + 3378 + ], + [ + 1948, + 4173 + ], + [ + 1891, + 3639 + ], + [ + 6464, + 10370 + ], + [ + 3324, + 8331 + ], + [ + 6376, + 8271 + ], + [ + 8987, + 9966 + ], + [ + 919, + 9895 + ], + [ + 10296, + 10650 + ], + [ + 676, + 10137 + ], + [ + 1287, + 5595 + ], + [ + 3136, + 6001 + ], + [ + 1567, + 8618 + ], + [ + 393, + 7570 + ], + [ + 8269, + 10854 + ], + [ + 1533, + 1837 + ], + [ + 440, + 10799 + ], + [ + 903, + 5605 + ], + [ + 5178, + 8707 + ], + [ + 1061, + 2781 + ], + [ + 2998, + 3034 + ], + [ + 2531, + 10738 + ], + [ + 4895, + 10304 + ], + [ + 5323, + 8307 + ], + [ + 2642, + 4338 + ], + [ + 715, + 3275 + ], + [ + 61, + 4737 + ], + [ + 4238, + 10714 + ], + [ + 162, + 11205 + ], + [ + 9424, + 9566 + ], + [ + 2017, + 5040 + ], + [ + 1965, + 9014 + ], + [ + 158, + 8053 + ], + [ + 8556, + 9756 + ], + [ + 2324, + 9132 + ], + [ + 5935, + 10756 + ], + [ + 2979, + 11278 + ], + [ + 5527, + 8487 + ], + [ + 5785, + 7025 + ], + [ + 3039, + 4913 + ], + [ + 7992, + 11111 + ], + [ + 76, + 8428 + ], + [ + 2734, + 4277 + ], + [ + 5530, + 6506 + ], + [ + 234, + 5604 + ], + [ + 1485, + 8562 + ], + [ + 261, + 1011 + ], + [ + 2946, + 5853 + ], + [ + 10910, + 11236 + ], + [ + 5373, + 11403 + ], + [ + 79, + 4912 + ], + [ + 6171, + 8939 + ], + [ + 6272, + 9745 + ], + [ + 6277, + 10089 + ], + [ + 5050, + 9437 + ], + [ + 6920, + 10720 + ], + [ + 6476, + 6542 + ], + [ + 6099, + 10756 + ], + [ + 1381, + 1392 + ], + [ + 1961, + 3953 + ], + [ + 5706, + 8021 + ], + [ + 3428, + 7475 + ], + [ + 5570, + 11166 + ], + [ + 3713, + 10842 + ], + [ + 10080, + 10378 + ], + [ + 1052, + 1109 + ], + [ + 10733, + 10943 + ], + [ + 1679, + 7623 + ], + [ + 6428, + 9884 + ], + [ + 4410, + 7922 + ], + [ + 7144, + 8519 + ], + [ + 588, + 9461 + ], + [ + 2639, + 6618 + ], + [ + 6390, + 10531 + ], + [ + 8076, + 9253 + ], + [ + 2916, + 2954 + ], + [ + 1505, + 8409 + ], + [ + 5252, + 9140 + ], + [ + 8980, + 11349 + ], + [ + 2067, + 3948 + ], + [ + 3304, + 8728 + ], + [ + 950, + 1182 + ], + [ + 2321, + 4996 + ], + [ + 4652, + 10838 + ], + [ + 4394, + 10048 + ], + [ + 725, + 8419 + ], + [ + 1043, + 7008 + ], + [ + 7488, + 8679 + ], + [ + 9281, + 11462 + ], + [ + 2492, + 5817 + ], + [ + 593, + 5267 + ], + [ + 684, + 5385 + ], + [ + 10090, + 11042 + ], + [ + 5638, + 8021 + ], + [ + 5910, + 10429 + ], + [ + 3546, + 4447 + ], + [ + 1032, + 6068 + ], + [ + 9361, + 9886 + ], + [ + 22, + 3199 + ], + [ + 4261, + 10808 + ], + [ + 9902, + 10964 + ], + [ + 2974, + 5941 + ], + [ + 9422, + 11293 + ], + [ + 81, + 10195 + ], + [ + 3040, + 9190 + ], + [ + 9516, + 10928 + ], + [ + 4165, + 7313 + ], + [ + 3351, + 11526 + ], + [ + 5555, + 8925 + ], + [ + 1885, + 4442 + ], + [ + 8175, + 8454 + ], + [ + 1112, + 7902 + ], + [ + 638, + 1603 + ], + [ + 3010, + 8200 + ], + [ + 3185, + 6511 + ], + [ + 5012, + 8124 + ], + [ + 1286, + 5961 + ], + [ + 5923, + 7981 + ], + [ + 5611, + 6174 + ], + [ + 1153, + 6371 + ], + [ + 2780, + 5644 + ], + [ + 1304, + 4288 + ], + [ + 780, + 4288 + ], + [ + 1396, + 6506 + ], + [ + 6621, + 10948 + ], + [ + 8780, + 10082 + ], + [ + 2147, + 10612 + ], + [ + 4506, + 5670 + ], + [ + 7148, + 7432 + ], + [ + 7337, + 10337 + ], + [ + 8495, + 10852 + ], + [ + 8245, + 9923 + ], + [ + 2691, + 8231 + ], + [ + 2664, + 9791 + ], + [ + 5491, + 6415 + ], + [ + 1611, + 4566 + ], + [ + 8085, + 11139 + ], + [ + 4723, + 10973 + ], + [ + 3223, + 5059 + ], + [ + 1409, + 7091 + ], + [ + 2283, + 3683 + ], + [ + 8351, + 9568 + ], + [ + 3120, + 6809 + ], + [ + 2060, + 5331 + ], + [ + 7641, + 11098 + ], + [ + 10034, + 11402 + ], + [ + 1665, + 8185 + ], + [ + 2152, + 8303 + ], + [ + 4984, + 5271 + ], + [ + 2623, + 9386 + ], + [ + 4736, + 8175 + ], + [ + 9870, + 10247 + ], + [ + 7472, + 9599 + ], + [ + 976, + 10592 + ], + [ + 3553, + 7041 + ], + [ + 5108, + 11164 + ], + [ + 2310, + 8108 + ], + [ + 2613, + 5665 + ], + [ + 177, + 2281 + ], + [ + 1209, + 5875 + ], + [ + 2494, + 8417 + ], + [ + 1455, + 2898 + ], + [ + 1487, + 8071 + ], + [ + 5351, + 7135 + ], + [ + 2240, + 4336 + ], + [ + 1431, + 8139 + ], + [ + 5130, + 5446 + ], + [ + 1706, + 3648 + ], + [ + 3656, + 4136 + ], + [ + 323, + 1702 + ], + [ + 1947, + 3710 + ], + [ + 1979, + 8129 + ], + [ + 4220, + 9547 + ], + [ + 3284, + 4907 + ], + [ + 3535, + 8690 + ], + [ + 6580, + 7459 + ], + [ + 1537, + 4751 + ], + [ + 8035, + 9466 + ], + [ + 2689, + 6949 + ], + [ + 3455, + 6482 + ], + [ + 9693, + 10304 + ], + [ + 10682, + 11572 + ], + [ + 6513, + 9620 + ], + [ + 1817, + 10403 + ], + [ + 341, + 2631 + ], + [ + 1800, + 2128 + ], + [ + 1118, + 5706 + ], + [ + 1266, + 5604 + ], + [ + 7222, + 11248 + ], + [ + 6408, + 8291 + ], + [ + 3677, + 11375 + ], + [ + 4546, + 7623 + ], + [ + 1267, + 2796 + ], + [ + 5250, + 6278 + ], + [ + 2540, + 9485 + ], + [ + 2149, + 3413 + ], + [ + 2854, + 11338 + ], + [ + 3542, + 8706 + ], + [ + 617, + 4377 + ], + [ + 889, + 2621 + ], + [ + 2105, + 9530 + ], + [ + 3571, + 3782 + ], + [ + 4037, + 8685 + ], + [ + 59, + 6301 + ], + [ + 5002, + 5395 + ], + [ + 298, + 6317 + ], + [ + 5158, + 5908 + ], + [ + 7700, + 9718 + ], + [ + 575, + 1872 + ], + [ + 4499, + 7403 + ], + [ + 6305, + 11145 + ], + [ + 3996, + 9034 + ], + [ + 4175, + 11251 + ], + [ + 8662, + 9540 + ], + [ + 3281, + 10220 + ], + [ + 1507, + 5235 + ], + [ + 1586, + 3838 + ], + [ + 7260, + 9796 + ], + [ + 4051, + 5708 + ], + [ + 40, + 11512 + ], + [ + 566, + 10804 + ], + [ + 2369, + 7859 + ], + [ + 4821, + 5360 + ], + [ + 8619, + 9062 + ], + [ + 457, + 2940 + ], + [ + 2203, + 5877 + ], + [ + 1668, + 2335 + ], + [ + 3753, + 4738 + ], + [ + 3347, + 4050 + ], + [ + 2239, + 4753 + ], + [ + 5373, + 6223 + ], + [ + 9041, + 10633 + ], + [ + 1999, + 4542 + ], + [ + 393, + 8001 + ], + [ + 515, + 6678 + ], + [ + 451, + 11389 + ], + [ + 4374, + 8404 + ], + [ + 2030, + 3074 + ], + [ + 4681, + 8332 + ], + [ + 686, + 8253 + ], + [ + 2031, + 3676 + ], + [ + 4295, + 8296 + ], + [ + 4386, + 8414 + ], + [ + 664, + 2987 + ], + [ + 6512, + 10818 + ], + [ + 5612, + 8841 + ], + [ + 3680, + 7434 + ], + [ + 9177, + 10120 + ], + [ + 6594, + 8938 + ], + [ + 4, + 4634 + ], + [ + 1277, + 4907 + ], + [ + 5788, + 10760 + ], + [ + 2328, + 7053 + ], + [ + 4353, + 9405 + ], + [ + 6851, + 7251 + ], + [ + 2584, + 4764 + ], + [ + 270, + 2309 + ], + [ + 4098, + 8132 + ], + [ + 120, + 5748 + ], + [ + 715, + 7089 + ], + [ + 245, + 10358 + ], + [ + 1673, + 8290 + ], + [ + 4221, + 6253 + ], + [ + 2982, + 4810 + ], + [ + 6122, + 6849 + ], + [ + 3446, + 7388 + ], + [ + 2632, + 10847 + ], + [ + 2749, + 5770 + ], + [ + 3884, + 6833 + ], + [ + 3010, + 3825 + ], + [ + 6464, + 6963 + ], + [ + 1077, + 4445 + ], + [ + 228, + 2433 + ], + [ + 1188, + 5215 + ], + [ + 482, + 9897 + ], + [ + 4204, + 4744 + ], + [ + 324, + 2895 + ], + [ + 7173, + 8591 + ], + [ + 7603, + 8175 + ], + [ + 8657, + 9838 + ], + [ + 4961, + 10550 + ], + [ + 8834, + 8976 + ], + [ + 4, + 446 + ], + [ + 597, + 7376 + ], + [ + 954, + 5169 + ], + [ + 305, + 559 + ], + [ + 8188, + 11430 + ], + [ + 8556, + 9382 + ], + [ + 3162, + 9857 + ], + [ + 63, + 4409 + ], + [ + 1892, + 2685 + ], + [ + 638, + 9255 + ], + [ + 6149, + 7867 + ], + [ + 8635, + 11368 + ], + [ + 2195, + 3625 + ], + [ + 1018, + 3060 + ], + [ + 5185, + 8349 + ], + [ + 3156, + 8507 + ], + [ + 1095, + 4246 + ], + [ + 1943, + 6033 + ], + [ + 2779, + 6305 + ], + [ + 7228, + 11280 + ], + [ + 762, + 8732 + ], + [ + 7926, + 9336 + ], + [ + 2840, + 9964 + ], + [ + 1728, + 8296 + ], + [ + 9899, + 10774 + ], + [ + 2748, + 3959 + ], + [ + 6829, + 7976 + ], + [ + 8969, + 10840 + ], + [ + 2900, + 4730 + ], + [ + 4271, + 8544 + ], + [ + 129, + 10667 + ], + [ + 4198, + 6753 + ], + [ + 1304, + 2491 + ], + [ + 6591, + 7811 + ], + [ + 55, + 9405 + ], + [ + 294, + 5257 + ], + [ + 2878, + 9293 + ], + [ + 545, + 2624 + ], + [ + 1141, + 7573 + ], + [ + 6151, + 10141 + ], + [ + 4525, + 5054 + ], + [ + 2257, + 10114 + ], + [ + 1942, + 11042 + ], + [ + 201, + 2033 + ], + [ + 4631, + 6204 + ], + [ + 2635, + 8754 + ], + [ + 1694, + 10940 + ], + [ + 7801, + 10337 + ], + [ + 353, + 2804 + ], + [ + 8045, + 10697 + ], + [ + 2468, + 7301 + ], + [ + 5973, + 7775 + ], + [ + 6547, + 10491 + ], + [ + 3966, + 10136 + ], + [ + 4520, + 11476 + ], + [ + 6977, + 10075 + ], + [ + 538, + 5186 + ], + [ + 161, + 9400 + ], + [ + 7191, + 7560 + ], + [ + 1310, + 1501 + ], + [ + 2929, + 3165 + ], + [ + 1803, + 11233 + ], + [ + 3264, + 5141 + ], + [ + 5750, + 8642 + ], + [ + 1454, + 4663 + ], + [ + 5127, + 9417 + ], + [ + 9418, + 10046 + ], + [ + 8179, + 8603 + ], + [ + 7403, + 9136 + ], + [ + 3609, + 6307 + ], + [ + 5780, + 9982 + ], + [ + 1458, + 7788 + ], + [ + 5682, + 7195 + ], + [ + 4448, + 6096 + ], + [ + 3018, + 11501 + ], + [ + 2884, + 9057 + ], + [ + 6466, + 11441 + ], + [ + 2165, + 9370 + ], + [ + 487, + 4847 + ], + [ + 3172, + 8935 + ], + [ + 493, + 8045 + ], + [ + 10388, + 10483 + ], + [ + 4414, + 10649 + ], + [ + 5119, + 11404 + ], + [ + 5238, + 6400 + ], + [ + 3371, + 5388 + ], + [ + 86, + 7132 + ], + [ + 6770, + 11071 + ], + [ + 3250, + 7313 + ], + [ + 2668, + 10341 + ], + [ + 9476, + 10374 + ], + [ + 9295, + 11494 + ], + [ + 1938, + 6331 + ], + [ + 1625, + 1670 + ], + [ + 2555, + 5741 + ], + [ + 500, + 11094 + ], + [ + 4696, + 9207 + ], + [ + 4742, + 9552 + ], + [ + 2863, + 7025 + ], + [ + 5139, + 6744 + ], + [ + 306, + 4812 + ], + [ + 3045, + 6507 + ], + [ + 1310, + 7112 + ], + [ + 2010, + 8277 + ], + [ + 8059, + 9194 + ], + [ + 9580, + 10323 + ], + [ + 4886, + 5517 + ], + [ + 8342, + 9482 + ], + [ + 1735, + 8981 + ], + [ + 7337, + 9963 + ], + [ + 3626, + 8889 + ], + [ + 10174, + 11439 + ], + [ + 4811, + 9315 + ], + [ + 2819, + 2939 + ], + [ + 9086, + 10165 + ], + [ + 6901, + 10564 + ], + [ + 3570, + 4793 + ], + [ + 9141, + 9872 + ], + [ + 5564, + 5580 + ], + [ + 1538, + 5434 + ], + [ + 710, + 5777 + ], + [ + 6582, + 7586 + ], + [ + 3464, + 7026 + ], + [ + 6335, + 11092 + ], + [ + 1284, + 1353 + ], + [ + 9048, + 10812 + ], + [ + 4342, + 10907 + ], + [ + 734, + 886 + ], + [ + 2062, + 8036 + ], + [ + 3865, + 5091 + ], + [ + 948, + 11203 + ], + [ + 4391, + 10799 + ], + [ + 593, + 6316 + ], + [ + 880, + 9756 + ], + [ + 3497, + 9768 + ], + [ + 8125, + 9790 + ], + [ + 4331, + 9967 + ], + [ + 8161, + 10201 + ], + [ + 600, + 10870 + ], + [ + 8401, + 8907 + ], + [ + 8060, + 8614 + ], + [ + 154, + 203 + ], + [ + 2461, + 5651 + ], + [ + 995, + 4983 + ], + [ + 4485, + 10784 + ], + [ + 2892, + 8089 + ], + [ + 3941, + 9408 + ], + [ + 5247, + 5657 + ], + [ + 7996, + 8040 + ], + [ + 357, + 3945 + ], + [ + 1914, + 3977 + ], + [ + 7607, + 10739 + ], + [ + 9112, + 10581 + ], + [ + 7519, + 8640 + ], + [ + 1392, + 5558 + ], + [ + 3883, + 8649 + ], + [ + 3164, + 3300 + ], + [ + 5655, + 7145 + ], + [ + 1202, + 11096 + ], + [ + 292, + 2015 + ], + [ + 6527, + 7074 + ], + [ + 173, + 4767 + ], + [ + 737, + 6795 + ], + [ + 1261, + 5260 + ], + [ + 4740, + 6765 + ], + [ + 316, + 9956 + ], + [ + 2346, + 6236 + ], + [ + 233, + 1785 + ], + [ + 1506, + 2812 + ], + [ + 9102, + 10243 + ], + [ + 3622, + 10944 + ], + [ + 821, + 2709 + ], + [ + 45, + 2488 + ], + [ + 9248, + 9314 + ], + [ + 3307, + 5456 + ], + [ + 1307, + 11270 + ], + [ + 10622, + 11147 + ], + [ + 27, + 404 + ], + [ + 3273, + 10009 + ], + [ + 1210, + 11337 + ], + [ + 3111, + 11179 + ], + [ + 5914, + 8163 + ], + [ + 2588, + 3490 + ], + [ + 4707, + 11139 + ], + [ + 3771, + 7253 + ], + [ + 407, + 10424 + ], + [ + 8590, + 11007 + ], + [ + 7714, + 11336 + ], + [ + 4321, + 4687 + ], + [ + 9141, + 11295 + ], + [ + 180, + 10418 + ], + [ + 7212, + 9405 + ], + [ + 9018, + 10141 + ], + [ + 2659, + 10496 + ], + [ + 1645, + 4445 + ], + [ + 4685, + 9286 + ], + [ + 4377, + 4969 + ], + [ + 908, + 3428 + ], + [ + 1532, + 6261 + ], + [ + 1385, + 6965 + ], + [ + 2094, + 5210 + ], + [ + 4648, + 6371 + ], + [ + 4579, + 8486 + ], + [ + 4424, + 11581 + ], + [ + 2127, + 4569 + ], + [ + 2999, + 6750 + ], + [ + 5707, + 6126 + ], + [ + 191, + 1508 + ], + [ + 5137, + 6535 + ], + [ + 1098, + 10291 + ], + [ + 2640, + 9291 + ], + [ + 804, + 9090 + ], + [ + 3587, + 10303 + ], + [ + 2080, + 9634 + ], + [ + 4043, + 11108 + ], + [ + 3759, + 11349 + ], + [ + 5781, + 7768 + ], + [ + 3506, + 10903 + ], + [ + 801, + 8792 + ], + [ + 1367, + 5231 + ], + [ + 1919, + 5744 + ], + [ + 4324, + 8317 + ], + [ + 2292, + 11210 + ], + [ + 1048, + 2253 + ], + [ + 304, + 11369 + ], + [ + 1297, + 10127 + ], + [ + 1171, + 4538 + ], + [ + 3447, + 4257 + ], + [ + 945, + 8921 + ], + [ + 3854, + 8553 + ], + [ + 2316, + 9702 + ], + [ + 9126, + 9808 + ], + [ + 3957, + 8681 + ], + [ + 3518, + 11263 + ], + [ + 686, + 1463 + ], + [ + 756, + 2202 + ], + [ + 2901, + 9574 + ], + [ + 4807, + 9760 + ], + [ + 685, + 3490 + ], + [ + 122, + 8480 + ], + [ + 4014, + 9565 + ], + [ + 3982, + 10027 + ], + [ + 2480, + 9702 + ], + [ + 54, + 7006 + ], + [ + 4841, + 5587 + ], + [ + 3104, + 9529 + ], + [ + 2013, + 10990 + ], + [ + 9487, + 10322 + ], + [ + 728, + 6196 + ], + [ + 1366, + 7207 + ], + [ + 7493, + 8037 + ], + [ + 1486, + 11473 + ], + [ + 6338, + 11203 + ], + [ + 2317, + 4985 + ], + [ + 4842, + 5408 + ], + [ + 3591, + 8866 + ], + [ + 5365, + 7435 + ], + [ + 1729, + 1782 + ], + [ + 3618, + 4273 + ], + [ + 5899, + 11506 + ], + [ + 6892, + 9510 + ], + [ + 3583, + 8224 + ], + [ + 7980, + 10003 + ], + [ + 5606, + 7497 + ], + [ + 33, + 8007 + ], + [ + 2001, + 7573 + ], + [ + 3117, + 3698 + ], + [ + 1002, + 11252 + ], + [ + 5007, + 5633 + ], + [ + 3451, + 6203 + ], + [ + 3413, + 9883 + ], + [ + 11363, + 11396 + ], + [ + 3582, + 8349 + ], + [ + 7587, + 9146 + ], + [ + 2981, + 7193 + ], + [ + 1393, + 4842 + ], + [ + 5840, + 6738 + ], + [ + 19, + 730 + ], + [ + 146, + 2757 + ], + [ + 8461, + 9121 + ], + [ + 982, + 3029 + ], + [ + 8382, + 10548 + ], + [ + 2687, + 2959 + ], + [ + 9567, + 10974 + ], + [ + 6802, + 8812 + ], + [ + 826, + 5899 + ], + [ + 6822, + 9464 + ], + [ + 7511, + 10440 + ], + [ + 7108, + 9269 + ], + [ + 8462, + 8972 + ], + [ + 1039, + 10329 + ], + [ + 3621, + 7122 + ], + [ + 784, + 2640 + ], + [ + 1214, + 8640 + ], + [ + 8440, + 10122 + ], + [ + 1771, + 9497 + ], + [ + 6721, + 9762 + ], + [ + 6531, + 8884 + ], + [ + 4855, + 5188 + ], + [ + 500, + 6264 + ], + [ + 6195, + 7437 + ], + [ + 3915, + 10228 + ], + [ + 4156, + 6907 + ], + [ + 4870, + 5496 + ], + [ + 3727, + 10931 + ], + [ + 6996, + 8654 + ], + [ + 2051, + 2317 + ], + [ + 7522, + 7946 + ], + [ + 6584, + 9649 + ], + [ + 2007, + 5428 + ], + [ + 1761, + 1989 + ], + [ + 1943, + 7887 + ], + [ + 3813, + 9170 + ], + [ + 1573, + 2692 + ], + [ + 8489, + 10364 + ], + [ + 2003, + 2276 + ], + [ + 886, + 5926 + ], + [ + 5123, + 6292 + ], + [ + 101, + 2209 + ], + [ + 3003, + 7086 + ], + [ + 10024, + 11576 + ], + [ + 4554, + 7303 + ], + [ + 7293, + 8244 + ], + [ + 5832, + 7920 + ], + [ + 5233, + 9089 + ], + [ + 2562, + 10726 + ], + [ + 561, + 6516 + ], + [ + 5199, + 7226 + ], + [ + 7819, + 10919 + ], + [ + 30, + 10263 + ], + [ + 157, + 11536 + ], + [ + 2399, + 6009 + ], + [ + 1929, + 9278 + ], + [ + 6165, + 10954 + ], + [ + 3204, + 4716 + ], + [ + 8398, + 9845 + ], + [ + 5636, + 10610 + ], + [ + 5820, + 6755 + ], + [ + 1049, + 6455 + ], + [ + 61, + 8795 + ], + [ + 10295, + 10699 + ], + [ + 518, + 6038 + ], + [ + 3194, + 5876 + ], + [ + 2158, + 4792 + ], + [ + 647, + 5105 + ], + [ + 8544, + 9266 + ], + [ + 860, + 6152 + ], + [ + 7018, + 8547 + ], + [ + 137, + 9729 + ], + [ + 8535, + 11432 + ], + [ + 4277, + 4527 + ], + [ + 5419, + 8289 + ], + [ + 1979, + 5958 + ], + [ + 2524, + 3802 + ], + [ + 5925, + 10312 + ], + [ + 5261, + 10332 + ], + [ + 7009, + 7680 + ], + [ + 3365, + 4418 + ], + [ + 5116, + 7699 + ], + [ + 2786, + 11127 + ], + [ + 2331, + 3407 + ], + [ + 7043, + 7264 + ], + [ + 6286, + 11257 + ], + [ + 5766, + 8747 + ], + [ + 3997, + 11276 + ], + [ + 2588, + 4726 + ], + [ + 7247, + 10477 + ], + [ + 1798, + 6327 + ], + [ + 400, + 10489 + ], + [ + 1465, + 3643 + ], + [ + 7008, + 7428 + ], + [ + 6380, + 7859 + ], + [ + 4666, + 7089 + ], + [ + 3668, + 8741 + ], + [ + 4192, + 7206 + ], + [ + 4942, + 5452 + ], + [ + 4971, + 11108 + ], + [ + 3197, + 6123 + ], + [ + 3320, + 10660 + ], + [ + 1298, + 5573 + ], + [ + 849, + 7467 + ], + [ + 5267, + 10877 + ], + [ + 9009, + 11264 + ], + [ + 1825, + 7719 + ], + [ + 1154, + 5070 + ], + [ + 7454, + 10524 + ], + [ + 1527, + 10536 + ], + [ + 8224, + 10176 + ], + [ + 3021, + 9465 + ], + [ + 1772, + 7334 + ], + [ + 2086, + 9187 + ], + [ + 2370, + 2530 + ], + [ + 4054, + 4589 + ], + [ + 2053, + 6795 + ], + [ + 3080, + 3629 + ], + [ + 1055, + 1277 + ], + [ + 3293, + 11092 + ], + [ + 4738, + 10883 + ], + [ + 1956, + 6862 + ], + [ + 649, + 3972 + ], + [ + 1242, + 10902 + ], + [ + 392, + 1872 + ], + [ + 4598, + 7089 + ], + [ + 5035, + 7844 + ], + [ + 608, + 938 + ], + [ + 4121, + 7689 + ], + [ + 888, + 3207 + ], + [ + 6684, + 10848 + ], + [ + 478, + 5029 + ], + [ + 2940, + 3218 + ], + [ + 489, + 2155 + ], + [ + 3677, + 6894 + ], + [ + 4680, + 6340 + ], + [ + 7388, + 7968 + ], + [ + 113, + 9977 + ], + [ + 3551, + 8475 + ], + [ + 3287, + 10846 + ], + [ + 4922, + 5873 + ], + [ + 2491, + 2833 + ], + [ + 902, + 3263 + ], + [ + 3677, + 3861 + ], + [ + 2089, + 2264 + ], + [ + 712, + 887 + ], + [ + 2026, + 3413 + ], + [ + 5515, + 9770 + ], + [ + 971, + 8695 + ], + [ + 8469, + 9175 + ], + [ + 1741, + 4183 + ], + [ + 6161, + 7666 + ], + [ + 4108, + 9682 + ], + [ + 3258, + 11232 + ], + [ + 9863, + 10906 + ], + [ + 4221, + 7115 + ], + [ + 3608, + 8578 + ], + [ + 614, + 6364 + ], + [ + 3164, + 5154 + ], + [ + 7157, + 9324 + ], + [ + 7145, + 7809 + ], + [ + 4531, + 11478 + ], + [ + 2007, + 5241 + ], + [ + 2793, + 6150 + ], + [ + 2817, + 4292 + ], + [ + 2378, + 7628 + ], + [ + 2312, + 9260 + ], + [ + 579, + 10692 + ], + [ + 9189, + 11342 + ], + [ + 1261, + 4081 + ], + [ + 8172, + 11409 + ], + [ + 1911, + 5883 + ], + [ + 10159, + 11025 + ], + [ + 5701, + 8970 + ], + [ + 2215, + 6294 + ], + [ + 6038, + 7609 + ], + [ + 1282, + 8341 + ], + [ + 5814, + 6403 + ], + [ + 5757, + 5869 + ], + [ + 526, + 9526 + ], + [ + 8179, + 11075 + ], + [ + 3264, + 10996 + ], + [ + 186, + 3419 + ], + [ + 4855, + 10612 + ], + [ + 2570, + 6643 + ], + [ + 1417, + 10636 + ], + [ + 2547, + 11355 + ], + [ + 178, + 2777 + ], + [ + 1552, + 3856 + ], + [ + 6896, + 9710 + ], + [ + 2350, + 7808 + ], + [ + 543, + 6847 + ], + [ + 5488, + 6768 + ], + [ + 1914, + 8409 + ], + [ + 1664, + 1818 + ], + [ + 6309, + 10115 + ], + [ + 3783, + 9467 + ], + [ + 1347, + 6083 + ], + [ + 5798, + 11131 + ], + [ + 7950, + 8340 + ], + [ + 7728, + 10213 + ], + [ + 6427, + 7138 + ], + [ + 1159, + 6032 + ], + [ + 2033, + 2624 + ], + [ + 4488, + 4560 + ], + [ + 1777, + 1880 + ], + [ + 5472, + 8113 + ], + [ + 4398, + 5017 + ], + [ + 7135, + 9295 + ], + [ + 6371, + 6455 + ], + [ + 7460, + 11337 + ], + [ + 467, + 5108 + ], + [ + 10327, + 10743 + ], + [ + 7304, + 10043 + ], + [ + 11201, + 11499 + ], + [ + 8176, + 9972 + ], + [ + 9296, + 10003 + ], + [ + 7241, + 8940 + ], + [ + 7889, + 9915 + ], + [ + 8773, + 11359 + ], + [ + 7307, + 10691 + ], + [ + 10375, + 10410 + ], + [ + 576, + 2018 + ], + [ + 1138, + 7383 + ], + [ + 9166, + 11061 + ], + [ + 355, + 6745 + ], + [ + 3832, + 5171 + ], + [ + 2006, + 10576 + ], + [ + 1755, + 6793 + ], + [ + 5115, + 6886 + ], + [ + 6142, + 10136 + ], + [ + 7572, + 8895 + ], + [ + 3334, + 11310 + ], + [ + 7501, + 10183 + ], + [ + 4557, + 5804 + ], + [ + 2220, + 8061 + ], + [ + 6294, + 10907 + ], + [ + 7510, + 11400 + ], + [ + 1968, + 11223 + ], + [ + 3084, + 7348 + ], + [ + 3049, + 4129 + ], + [ + 1108, + 4888 + ], + [ + 2652, + 11074 + ], + [ + 4200, + 6856 + ], + [ + 9795, + 10077 + ], + [ + 6989, + 7914 + ], + [ + 2264, + 3795 + ], + [ + 2286, + 5274 + ], + [ + 1945, + 11397 + ], + [ + 2516, + 8180 + ], + [ + 458, + 9852 + ], + [ + 7710, + 11057 + ], + [ + 3903, + 9494 + ], + [ + 2499, + 9704 + ], + [ + 193, + 11274 + ], + [ + 631, + 10719 + ], + [ + 731, + 2255 + ], + [ + 5586, + 11328 + ], + [ + 4768, + 5219 + ], + [ + 9432, + 11314 + ], + [ + 10015, + 11140 + ], + [ + 1152, + 6634 + ], + [ + 6837, + 7119 + ], + [ + 8029, + 8716 + ], + [ + 596, + 9385 + ], + [ + 31, + 7132 + ], + [ + 3011, + 7004 + ], + [ + 1178, + 11238 + ], + [ + 1706, + 4941 + ], + [ + 1701, + 4597 + ], + [ + 188, + 4083 + ], + [ + 4510, + 7031 + ], + [ + 2208, + 6091 + ], + [ + 43, + 7142 + ], + [ + 5466, + 5907 + ], + [ + 6087, + 8469 + ], + [ + 9357, + 9800 + ], + [ + 4558, + 6698 + ], + [ + 5404, + 8412 + ], + [ + 4719, + 7555 + ], + [ + 2847, + 6199 + ], + [ + 1627, + 8970 + ], + [ + 1697, + 7457 + ], + [ + 3402, + 3977 + ], + [ + 1540, + 3309 + ], + [ + 449, + 8934 + ], + [ + 594, + 5151 + ], + [ + 1221, + 10911 + ], + [ + 2557, + 10008 + ], + [ + 5105, + 7217 + ], + [ + 745, + 7949 + ], + [ + 8152, + 9065 + ], + [ + 7443, + 7814 + ], + [ + 3601, + 3813 + ], + [ + 6875, + 9050 + ], + [ + 992, + 2164 + ], + [ + 1745, + 7097 + ], + [ + 626, + 9920 + ], + [ + 10762, + 11289 + ], + [ + 3570, + 4850 + ], + [ + 3250, + 9598 + ], + [ + 5870, + 9127 + ], + [ + 7554, + 11186 + ], + [ + 1236, + 11542 + ], + [ + 3323, + 8356 + ], + [ + 6637, + 11514 + ], + [ + 3655, + 10815 + ], + [ + 3846, + 3967 + ], + [ + 7951, + 8378 + ], + [ + 6368, + 7125 + ], + [ + 7760, + 8810 + ], + [ + 790, + 4285 + ], + [ + 8668, + 11402 + ], + [ + 2035, + 3264 + ], + [ + 2310, + 7441 + ], + [ + 1133, + 11040 + ], + [ + 3719, + 5323 + ], + [ + 7011, + 10385 + ], + [ + 2458, + 11476 + ], + [ + 8125, + 9847 + ], + [ + 2831, + 3356 + ], + [ + 5265, + 10831 + ], + [ + 6013, + 9004 + ], + [ + 3267, + 3886 + ], + [ + 3518, + 7669 + ], + [ + 6632, + 10739 + ], + [ + 2709, + 5810 + ], + [ + 646, + 7138 + ], + [ + 9887, + 10284 + ], + [ + 80, + 2031 + ], + [ + 9983, + 10746 + ], + [ + 2426, + 8905 + ], + [ + 6710, + 9117 + ], + [ + 4289, + 6765 + ], + [ + 980, + 9643 + ], + [ + 3356, + 6560 + ], + [ + 2198, + 10209 + ], + [ + 641, + 3761 + ], + [ + 1640, + 11379 + ], + [ + 4976, + 11078 + ], + [ + 5494, + 6345 + ], + [ + 8607, + 9190 + ], + [ + 1074, + 9655 + ], + [ + 9195, + 9360 + ], + [ + 1979, + 11195 + ], + [ + 5608, + 10015 + ], + [ + 3029, + 4071 + ], + [ + 1193, + 4624 + ], + [ + 2067, + 7632 + ], + [ + 594, + 9957 + ], + [ + 1344, + 4039 + ], + [ + 5167, + 9518 + ], + [ + 6852, + 8769 + ], + [ + 8815, + 10243 + ], + [ + 23, + 10141 + ], + [ + 1339, + 7078 + ], + [ + 2829, + 5888 + ], + [ + 1118, + 5389 + ], + [ + 3144, + 10595 + ], + [ + 2702, + 10250 + ], + [ + 2353, + 2926 + ], + [ + 1490, + 4214 + ], + [ + 5374, + 6936 + ], + [ + 448, + 8977 + ], + [ + 2605, + 7284 + ], + [ + 7297, + 9011 + ], + [ + 304, + 9198 + ], + [ + 4163, + 10924 + ], + [ + 4650, + 10288 + ], + [ + 5334, + 10920 + ], + [ + 131, + 3793 + ], + [ + 8790, + 10721 + ], + [ + 4247, + 6084 + ], + [ + 2523, + 11042 + ], + [ + 6912, + 11048 + ], + [ + 1010, + 10528 + ], + [ + 6977, + 9945 + ], + [ + 2584, + 8285 + ], + [ + 2708, + 3625 + ], + [ + 8346, + 10680 + ], + [ + 1744, + 10523 + ], + [ + 7594, + 8601 + ], + [ + 2274, + 7305 + ], + [ + 7807, + 9648 + ], + [ + 651, + 2489 + ], + [ + 1399, + 7078 + ], + [ + 4986, + 9806 + ], + [ + 5729, + 7635 + ], + [ + 5195, + 6947 + ], + [ + 8803, + 11306 + ], + [ + 840, + 8777 + ], + [ + 6248, + 9139 + ], + [ + 5615, + 9226 + ], + [ + 1072, + 11005 + ], + [ + 7171, + 9787 + ], + [ + 1388, + 6515 + ], + [ + 5467, + 5541 + ], + [ + 7201, + 11127 + ], + [ + 3302, + 6592 + ], + [ + 1440, + 5924 + ], + [ + 688, + 10261 + ], + [ + 11047, + 11113 + ], + [ + 539, + 10892 + ], + [ + 412, + 2449 + ], + [ + 5852, + 8765 + ], + [ + 4979, + 8611 + ], + [ + 436, + 10390 + ], + [ + 6074, + 10275 + ], + [ + 2184, + 3574 + ], + [ + 1895, + 3471 + ], + [ + 2275, + 2938 + ], + [ + 10363, + 10831 + ], + [ + 6810, + 6933 + ], + [ + 3360, + 4668 + ], + [ + 1615, + 11001 + ], + [ + 6498, + 11542 + ], + [ + 648, + 5550 + ], + [ + 4543, + 8431 + ], + [ + 4911, + 6383 + ], + [ + 1477, + 4651 + ], + [ + 4544, + 11285 + ], + [ + 3071, + 7948 + ], + [ + 772, + 6525 + ], + [ + 7792, + 10413 + ], + [ + 6763, + 9746 + ], + [ + 1572, + 4888 + ], + [ + 890, + 4302 + ], + [ + 1941, + 5694 + ], + [ + 5451, + 6512 + ], + [ + 8850, + 9943 + ], + [ + 4120, + 5480 + ], + [ + 3337, + 11258 + ], + [ + 5522, + 8607 + ], + [ + 4839, + 5167 + ], + [ + 1847, + 3780 + ], + [ + 6356, + 8052 + ], + [ + 10378, + 11462 + ], + [ + 1772, + 7578 + ], + [ + 6914, + 10265 + ], + [ + 2272, + 7901 + ], + [ + 1282, + 7162 + ], + [ + 2531, + 10047 + ], + [ + 9052, + 10050 + ], + [ + 1836, + 2086 + ], + [ + 2328, + 8964 + ], + [ + 2919, + 8651 + ], + [ + 501, + 3564 + ], + [ + 6308, + 11394 + ], + [ + 6031, + 6390 + ], + [ + 6287, + 10517 + ], + [ + 3906, + 6840 + ], + [ + 7770, + 8156 + ], + [ + 5712, + 10582 + ], + [ + 2355, + 10006 + ], + [ + 2325, + 5633 + ], + [ + 5272, + 7277 + ], + [ + 2474, + 8385 + ], + [ + 645, + 3693 + ], + [ + 3759, + 6763 + ], + [ + 6641, + 8012 + ], + [ + 3367, + 3529 + ], + [ + 165, + 612 + ], + [ + 10725, + 11546 + ], + [ + 1379, + 3688 + ], + [ + 8562, + 9260 + ], + [ + 1227, + 6300 + ], + [ + 317, + 3635 + ], + [ + 1011, + 11371 + ], + [ + 1994, + 2271 + ], + [ + 3337, + 10453 + ], + [ + 6298, + 10275 + ], + [ + 4512, + 7939 + ], + [ + 7533, + 7812 + ], + [ + 4207, + 7303 + ], + [ + 6920, + 10029 + ], + [ + 41, + 11284 + ], + [ + 1996, + 8733 + ], + [ + 3833, + 4618 + ], + [ + 3741, + 11445 + ], + [ + 1150, + 3986 + ], + [ + 4102, + 6728 + ], + [ + 6281, + 8766 + ], + [ + 4904, + 10799 + ], + [ + 4226, + 7703 + ], + [ + 2168, + 9375 + ], + [ + 7894, + 9861 + ], + [ + 3859, + 6189 + ], + [ + 3477, + 10059 + ], + [ + 3873, + 10059 + ], + [ + 2355, + 2785 + ], + [ + 2201, + 8734 + ], + [ + 7108, + 8171 + ], + [ + 4124, + 4393 + ], + [ + 2374, + 10382 + ], + [ + 1541, + 10381 + ], + [ + 9471, + 10518 + ], + [ + 6021, + 7499 + ], + [ + 2845, + 3551 + ], + [ + 2525, + 4135 + ], + [ + 1783, + 9914 + ], + [ + 446, + 4930 + ], + [ + 2841, + 6061 + ], + [ + 8699, + 11170 + ], + [ + 1717, + 11546 + ], + [ + 260, + 6460 + ], + [ + 2870, + 5301 + ], + [ + 3768, + 6451 + ], + [ + 5705, + 8956 + ], + [ + 1534, + 3925 + ], + [ + 620, + 10186 + ], + [ + 7435, + 10636 + ], + [ + 8257, + 11202 + ], + [ + 1662, + 8806 + ], + [ + 1378, + 2631 + ], + [ + 32, + 6229 + ], + [ + 3669, + 9074 + ], + [ + 2153, + 9043 + ], + [ + 2855, + 6117 + ], + [ + 3192, + 3258 + ], + [ + 3350, + 3844 + ], + [ + 4444, + 9070 + ], + [ + 5445, + 7689 + ], + [ + 7460, + 9353 + ], + [ + 6494, + 9008 + ], + [ + 5152, + 10096 + ], + [ + 4911, + 7001 + ], + [ + 9386, + 10945 + ], + [ + 8696, + 9744 + ], + [ + 6779, + 9369 + ], + [ + 2918, + 7570 + ], + [ + 3441, + 9597 + ], + [ + 4664, + 10507 + ], + [ + 5779, + 10194 + ], + [ + 542, + 4237 + ], + [ + 555, + 8606 + ], + [ + 6553, + 7336 + ], + [ + 7456, + 8830 + ], + [ + 1283, + 5403 + ], + [ + 200, + 10135 + ], + [ + 3681, + 6051 + ], + [ + 5561, + 5770 + ], + [ + 6608, + 10426 + ], + [ + 10756, + 11501 + ], + [ + 3712, + 10999 + ], + [ + 5983, + 10374 + ], + [ + 1435, + 5393 + ], + [ + 6538, + 8152 + ], + [ + 781, + 6855 + ], + [ + 794, + 11224 + ], + [ + 815, + 9849 + ], + [ + 1092, + 8437 + ], + [ + 6785, + 8783 + ], + [ + 138, + 9607 + ], + [ + 3736, + 6108 + ], + [ + 6781, + 11293 + ], + [ + 4826, + 8182 + ], + [ + 2857, + 8391 + ], + [ + 3604, + 3710 + ], + [ + 6635, + 8435 + ], + [ + 7036, + 9533 + ], + [ + 8252, + 9272 + ], + [ + 6714, + 10421 + ], + [ + 3218, + 7057 + ], + [ + 2194, + 6734 + ], + [ + 5254, + 6535 + ], + [ + 170, + 1574 + ], + [ + 773, + 9192 + ], + [ + 663, + 11306 + ], + [ + 3673, + 4604 + ], + [ + 4390, + 6874 + ], + [ + 8094, + 10941 + ], + [ + 5236, + 8588 + ], + [ + 403, + 6656 + ], + [ + 1225, + 7222 + ], + [ + 1244, + 7272 + ], + [ + 7563, + 10524 + ], + [ + 376, + 8216 + ], + [ + 8588, + 11449 + ], + [ + 5074, + 6725 + ], + [ + 10025, + 10598 + ], + [ + 4478, + 10077 + ], + [ + 4877, + 9594 + ], + [ + 5037, + 5345 + ], + [ + 5539, + 6495 + ], + [ + 1433, + 10527 + ], + [ + 3316, + 9039 + ], + [ + 169, + 9993 + ], + [ + 3768, + 7069 + ], + [ + 2004, + 2772 + ], + [ + 3554, + 8049 + ], + [ + 1651, + 11544 + ], + [ + 4767, + 9025 + ], + [ + 852, + 3957 + ], + [ + 186, + 7314 + ], + [ + 866, + 1411 + ], + [ + 5292, + 8092 + ], + [ + 681, + 877 + ], + [ + 7002, + 11372 + ], + [ + 1553, + 7976 + ], + [ + 5826, + 7999 + ], + [ + 1335, + 9968 + ], + [ + 557, + 6668 + ], + [ + 1458, + 8089 + ], + [ + 5744, + 8374 + ], + [ + 1322, + 1812 + ], + [ + 7670, + 9966 + ], + [ + 1952, + 5591 + ], + [ + 3166, + 5257 + ], + [ + 693, + 8407 + ], + [ + 3463, + 8661 + ], + [ + 287, + 549 + ], + [ + 3715, + 8882 + ], + [ + 1535, + 9625 + ], + [ + 2474, + 10776 + ], + [ + 1313, + 4328 + ], + [ + 5208, + 7963 + ], + [ + 2190, + 5355 + ], + [ + 6412, + 10351 + ], + [ + 8555, + 10480 + ], + [ + 6188, + 8364 + ], + [ + 3923, + 9935 + ], + [ + 5745, + 7794 + ], + [ + 4235, + 10961 + ], + [ + 6506, + 10336 + ], + [ + 1541, + 2623 + ], + [ + 642, + 1248 + ], + [ + 5533, + 6568 + ], + [ + 1257, + 6247 + ], + [ + 2855, + 6280 + ], + [ + 2259, + 5468 + ], + [ + 203, + 1551 + ], + [ + 822, + 9702 + ], + [ + 4464, + 6475 + ], + [ + 288, + 9768 + ], + [ + 1657, + 10503 + ], + [ + 5105, + 9689 + ], + [ + 809, + 2300 + ], + [ + 9688, + 10692 + ], + [ + 2625, + 10140 + ], + [ + 1942, + 6700 + ], + [ + 4293, + 6778 + ], + [ + 5468, + 11434 + ], + [ + 5755, + 10710 + ], + [ + 2135, + 2584 + ], + [ + 3139, + 11300 + ], + [ + 2335, + 9785 + ], + [ + 6867, + 7093 + ], + [ + 2450, + 7291 + ], + [ + 7369, + 8243 + ], + [ + 6183, + 9844 + ], + [ + 7559, + 7586 + ], + [ + 9675, + 10056 + ], + [ + 1012, + 5638 + ], + [ + 927, + 3056 + ], + [ + 2632, + 10156 + ], + [ + 4838, + 4972 + ], + [ + 7264, + 7668 + ], + [ + 165, + 1043 + ], + [ + 140, + 9092 + ], + [ + 5675, + 8098 + ], + [ + 9413, + 10995 + ], + [ + 1416, + 3220 + ], + [ + 2128, + 11562 + ], + [ + 387, + 2553 + ], + [ + 662, + 10894 + ], + [ + 1347, + 5335 + ], + [ + 15, + 695 + ], + [ + 7358, + 10686 + ], + [ + 8134, + 10153 + ], + [ + 8499, + 8588 + ], + [ + 4897, + 8181 + ], + [ + 5632, + 8401 + ], + [ + 4302, + 4588 + ], + [ + 8914, + 10493 + ], + [ + 2611, + 4741 + ], + [ + 2581, + 9036 + ], + [ + 6745, + 8392 + ], + [ + 2118, + 4808 + ], + [ + 1421, + 9606 + ], + [ + 8458, + 8937 + ], + [ + 4258, + 7672 + ], + [ + 6348, + 10419 + ], + [ + 4946, + 5040 + ], + [ + 987, + 6870 + ], + [ + 832, + 2795 + ], + [ + 2235, + 3114 + ], + [ + 4060, + 10316 + ], + [ + 710, + 1085 + ], + [ + 7673, + 8603 + ], + [ + 3536, + 4654 + ], + [ + 9542, + 9661 + ], + [ + 1142, + 10541 + ], + [ + 5839, + 6196 + ], + [ + 538, + 4950 + ], + [ + 2604, + 7303 + ], + [ + 4583, + 9310 + ], + [ + 4068, + 7144 + ], + [ + 3600, + 5578 + ], + [ + 1129, + 3139 + ], + [ + 2808, + 11270 + ], + [ + 3488, + 4613 + ], + [ + 3468, + 6590 + ], + [ + 1493, + 3601 + ], + [ + 2582, + 8483 + ], + [ + 3583, + 7102 + ], + [ + 3500, + 5347 + ], + [ + 1339, + 3134 + ], + [ + 962, + 7348 + ], + [ + 1342, + 7569 + ], + [ + 1224, + 9011 + ], + [ + 8061, + 10940 + ], + [ + 408, + 2975 + ], + [ + 5506, + 6144 + ], + [ + 2173, + 3710 + ], + [ + 6713, + 8049 + ], + [ + 2368, + 10567 + ], + [ + 7215, + 9199 + ], + [ + 4691, + 10132 + ], + [ + 4849, + 6554 + ], + [ + 6062, + 6776 + ], + [ + 7751, + 9179 + ], + [ + 6777, + 8973 + ], + [ + 7548, + 8850 + ], + [ + 3076, + 9341 + ], + [ + 9130, + 10632 + ], + [ + 3497, + 3921 + ], + [ + 1354, + 7929 + ], + [ + 175, + 6537 + ], + [ + 7234, + 7347 + ], + [ + 3588, + 7422 + ], + [ + 4830, + 8382 + ], + [ + 4142, + 4598 + ], + [ + 4702, + 9136 + ], + [ + 3714, + 9224 + ], + [ + 9438, + 11135 + ], + [ + 8753, + 11032 + ], + [ + 1489, + 6060 + ], + [ + 9625, + 10961 + ], + [ + 3648, + 4440 + ], + [ + 7595, + 8265 + ], + [ + 1277, + 7867 + ], + [ + 1308, + 7180 + ], + [ + 1524, + 7744 + ], + [ + 3384, + 6087 + ], + [ + 5691, + 7371 + ], + [ + 9827, + 11095 + ], + [ + 4111, + 9799 + ], + [ + 2743, + 5502 + ], + [ + 6781, + 8691 + ], + [ + 3603, + 3916 + ], + [ + 581, + 6070 + ], + [ + 1711, + 10953 + ], + [ + 1138, + 11091 + ], + [ + 2609, + 5687 + ], + [ + 2769, + 3690 + ], + [ + 6305, + 9112 + ], + [ + 5113, + 7515 + ], + [ + 5592, + 6961 + ], + [ + 1722, + 5076 + ], + [ + 4622, + 6874 + ], + [ + 8230, + 11233 + ], + [ + 28, + 1548 + ], + [ + 3639, + 8834 + ], + [ + 1989, + 6359 + ], + [ + 6574, + 8189 + ], + [ + 7436, + 8928 + ], + [ + 4554, + 6181 + ], + [ + 4700, + 5252 + ], + [ + 1245, + 4895 + ], + [ + 8414, + 10007 + ], + [ + 188, + 8596 + ], + [ + 2738, + 7386 + ], + [ + 2675, + 6283 + ], + [ + 7157, + 7234 + ], + [ + 519, + 11584 + ], + [ + 6632, + 10796 + ], + [ + 7563, + 7922 + ], + [ + 3363, + 10821 + ], + [ + 1367, + 6955 + ], + [ + 3612, + 7361 + ], + [ + 553, + 10414 + ], + [ + 6876, + 11156 + ], + [ + 1769, + 10907 + ], + [ + 6185, + 6320 + ], + [ + 3516, + 10282 + ], + [ + 3467, + 4004 + ], + [ + 1259, + 9115 + ], + [ + 1383, + 4455 + ], + [ + 2009, + 3197 + ], + [ + 734, + 6261 + ], + [ + 361, + 7211 + ], + [ + 8581, + 11059 + ], + [ + 7058, + 9857 + ], + [ + 1481, + 10625 + ], + [ + 2668, + 5462 + ], + [ + 3351, + 9656 + ], + [ + 9344, + 9540 + ], + [ + 8289, + 10658 + ], + [ + 321, + 7031 + ], + [ + 1792, + 2381 + ], + [ + 7390, + 9283 + ], + [ + 3188, + 11355 + ], + [ + 1246, + 4342 + ], + [ + 2276, + 7863 + ], + [ + 2033, + 8105 + ], + [ + 5455, + 6824 + ], + [ + 2930, + 3368 + ], + [ + 192, + 5281 + ], + [ + 3542, + 8096 + ], + [ + 1861, + 6308 + ], + [ + 6561, + 7896 + ], + [ + 5850, + 6572 + ], + [ + 394, + 5415 + ], + [ + 3549, + 8486 + ], + [ + 4358, + 4683 + ], + [ + 2675, + 5478 + ], + [ + 5256, + 5833 + ], + [ + 887, + 2315 + ], + [ + 2672, + 5180 + ], + [ + 7207, + 9175 + ], + [ + 8865, + 10013 + ], + [ + 73, + 9911 + ], + [ + 1444, + 7309 + ], + [ + 301, + 5574 + ], + [ + 817, + 10594 + ], + [ + 517, + 3886 + ], + [ + 1251, + 10297 + ], + [ + 2777, + 11016 + ], + [ + 5920, + 10320 + ], + [ + 10503, + 11323 + ], + [ + 2807, + 4442 + ], + [ + 1118, + 7674 + ], + [ + 7995, + 9002 + ], + [ + 5789, + 8524 + ], + [ + 1527, + 6381 + ], + [ + 6009, + 6578 + ], + [ + 7590, + 11168 + ], + [ + 252, + 2275 + ], + [ + 706, + 2253 + ], + [ + 7741, + 11337 + ], + [ + 1454, + 11006 + ], + [ + 1543, + 3127 + ], + [ + 1288, + 2608 + ], + [ + 1585, + 6736 + ], + [ + 5083, + 6039 + ], + [ + 2383, + 4272 + ], + [ + 175, + 9383 + ], + [ + 3232, + 9667 + ], + [ + 2914, + 3908 + ], + [ + 2783, + 11561 + ], + [ + 2721, + 10683 + ], + [ + 6959, + 8268 + ], + [ + 1858, + 11217 + ], + [ + 5246, + 11106 + ], + [ + 6765, + 10654 + ], + [ + 1375, + 1449 + ], + [ + 3160, + 10730 + ], + [ + 7580, + 10049 + ], + [ + 5260, + 7779 + ], + [ + 8410, + 10506 + ], + [ + 417, + 9266 + ], + [ + 340, + 940 + ], + [ + 6439, + 8390 + ], + [ + 2961, + 3323 + ], + [ + 937, + 8743 + ], + [ + 443, + 7454 + ], + [ + 2836, + 7758 + ], + [ + 9147, + 11149 + ], + [ + 9481, + 10271 + ], + [ + 4037, + 6465 + ], + [ + 207, + 3979 + ], + [ + 5785, + 10229 + ], + [ + 4260, + 8954 + ], + [ + 5748, + 11101 + ], + [ + 9975, + 10025 + ], + [ + 235, + 2994 + ], + [ + 6339, + 10788 + ], + [ + 3099, + 5135 + ], + [ + 702, + 7341 + ], + [ + 8355, + 8890 + ], + [ + 4086, + 9740 + ], + [ + 8604, + 10348 + ], + [ + 3158, + 9879 + ], + [ + 8638, + 9178 + ], + [ + 4255, + 8206 + ], + [ + 3025, + 10289 + ], + [ + 6483, + 10917 + ], + [ + 6391, + 11328 + ], + [ + 2090, + 2841 + ], + [ + 5949, + 10983 + ], + [ + 3218, + 7651 + ], + [ + 601, + 7639 + ], + [ + 5396, + 6081 + ], + [ + 4558, + 9146 + ], + [ + 1165, + 3251 + ], + [ + 38, + 2049 + ], + [ + 6756, + 8982 + ], + [ + 256, + 1188 + ], + [ + 6379, + 6780 + ], + [ + 2218, + 11105 + ], + [ + 4574, + 6646 + ], + [ + 8088, + 10589 + ], + [ + 4392, + 10547 + ], + [ + 3010, + 8826 + ], + [ + 1045, + 10689 + ], + [ + 9699, + 10857 + ], + [ + 979, + 5905 + ], + [ + 2909, + 4987 + ], + [ + 1699, + 8446 + ], + [ + 4500, + 4603 + ], + [ + 8230, + 9891 + ], + [ + 7767, + 7915 + ], + [ + 3574, + 7821 + ], + [ + 7083, + 10666 + ], + [ + 5994, + 10702 + ], + [ + 2200, + 3709 + ], + [ + 2814, + 11516 + ], + [ + 2602, + 7661 + ], + [ + 5706, + 7037 + ], + [ + 1936, + 11018 + ], + [ + 8945, + 9055 + ], + [ + 3157, + 5439 + ], + [ + 4960, + 8910 + ], + [ + 5335, + 8033 + ], + [ + 1690, + 10962 + ], + [ + 1814, + 7056 + ], + [ + 5267, + 7340 + ], + [ + 3393, + 10819 + ], + [ + 1404, + 2462 + ], + [ + 2183, + 2200 + ], + [ + 4320, + 4793 + ], + [ + 3920, + 7303 + ], + [ + 1517, + 2524 + ], + [ + 2265, + 7113 + ], + [ + 4792, + 10615 + ], + [ + 9212, + 9934 + ], + [ + 4257, + 7073 + ], + [ + 210, + 6804 + ], + [ + 1972, + 3858 + ], + [ + 3695, + 11507 + ], + [ + 3654, + 5090 + ], + [ + 3066, + 5297 + ], + [ + 5619, + 10020 + ], + [ + 5679, + 10825 + ], + [ + 827, + 4679 + ], + [ + 2102, + 5779 + ], + [ + 7241, + 11201 + ], + [ + 6300, + 6971 + ], + [ + 4426, + 11204 + ], + [ + 10936, + 11018 + ], + [ + 2715, + 9951 + ], + [ + 8821, + 9904 + ], + [ + 4738, + 9224 + ], + [ + 1397, + 3519 + ], + [ + 8618, + 8794 + ], + [ + 1424, + 4561 + ], + [ + 7965, + 10858 + ], + [ + 4942, + 9404 + ], + [ + 96, + 7210 + ], + [ + 955, + 2770 + ], + [ + 5629, + 10307 + ], + [ + 742, + 11522 + ], + [ + 3108, + 7751 + ], + [ + 4684, + 8587 + ], + [ + 9102, + 11243 + ], + [ + 8136, + 8646 + ], + [ + 4337, + 7725 + ], + [ + 2162, + 2396 + ], + [ + 2757, + 3737 + ], + [ + 76, + 6184 + ], + [ + 1284, + 1898 + ], + [ + 6015, + 9969 + ], + [ + 9442, + 10530 + ], + [ + 4528, + 8424 + ], + [ + 2871, + 10440 + ], + [ + 4084, + 6498 + ], + [ + 3846, + 7838 + ], + [ + 6909, + 7213 + ], + [ + 7063, + 11063 + ], + [ + 6662, + 10719 + ], + [ + 6760, + 7090 + ], + [ + 6127, + 7177 + ], + [ + 4799, + 9826 + ], + [ + 1869, + 5153 + ], + [ + 406, + 8166 + ], + [ + 1457, + 6148 + ], + [ + 1617, + 8315 + ], + [ + 3329, + 5252 + ], + [ + 2587, + 11031 + ], + [ + 5691, + 6997 + ], + [ + 3457, + 10887 + ], + [ + 4345, + 10595 + ], + [ + 8648, + 9329 + ], + [ + 5441, + 6068 + ], + [ + 3546, + 9424 + ], + [ + 2263, + 4676 + ], + [ + 1726, + 5225 + ], + [ + 2818, + 3208 + ], + [ + 3711, + 4014 + ], + [ + 5581, + 8707 + ], + [ + 4612, + 8845 + ], + [ + 1697, + 9368 + ], + [ + 6960, + 10130 + ], + [ + 4489, + 9943 + ], + [ + 514, + 11240 + ], + [ + 6359, + 8974 + ], + [ + 6674, + 8046 + ], + [ + 1787, + 5097 + ], + [ + 9285, + 9741 + ], + [ + 9777, + 10203 + ], + [ + 3026, + 4261 + ], + [ + 4232, + 9728 + ], + [ + 3901, + 10123 + ], + [ + 1150, + 11077 + ], + [ + 928, + 6534 + ], + [ + 8180, + 9991 + ], + [ + 7336, + 8323 + ], + [ + 2052, + 6684 + ], + [ + 1264, + 5702 + ], + [ + 9111, + 10500 + ], + [ + 1174, + 2776 + ], + [ + 7894, + 10536 + ], + [ + 5026, + 6741 + ], + [ + 7178, + 11120 + ], + [ + 4819, + 9646 + ], + [ + 4196, + 10421 + ], + [ + 6149, + 10453 + ], + [ + 1354, + 5595 + ], + [ + 7466, + 10998 + ], + [ + 2157, + 3475 + ], + [ + 2936, + 3213 + ], + [ + 960, + 11303 + ], + [ + 3911, + 10437 + ], + [ + 943, + 3028 + ], + [ + 3716, + 9969 + ], + [ + 2591, + 3178 + ], + [ + 15, + 3167 + ], + [ + 2224, + 8080 + ], + [ + 8258, + 8719 + ], + [ + 40, + 11333 + ], + [ + 1095, + 3799 + ], + [ + 3992, + 8332 + ], + [ + 3746, + 5647 + ], + [ + 4463, + 7917 + ], + [ + 874, + 8526 + ], + [ + 4709, + 4940 + ], + [ + 7532, + 11244 + ], + [ + 3089, + 10221 + ], + [ + 97, + 8834 + ], + [ + 5755, + 5961 + ], + [ + 1393, + 10030 + ], + [ + 2867, + 8307 + ], + [ + 10205, + 11538 + ], + [ + 1893, + 8101 + ], + [ + 3973, + 10160 + ], + [ + 1895, + 8147 + ], + [ + 771, + 10626 + ], + [ + 4381, + 5232 + ], + [ + 7751, + 9423 + ], + [ + 740, + 9061 + ], + [ + 10485, + 10774 + ], + [ + 8737, + 11174 + ], + [ + 1509, + 1695 + ], + [ + 3537, + 3564 + ], + [ + 3100, + 7727 + ], + [ + 5216, + 5279 + ], + [ + 6521, + 8473 + ], + [ + 1173, + 11545 + ], + [ + 2094, + 7983 + ], + [ + 4179, + 10386 + ], + [ + 2849, + 7327 + ], + [ + 1531, + 8809 + ], + [ + 2439, + 4985 + ], + [ + 381, + 10821 + ], + [ + 1499, + 10025 + ], + [ + 716, + 6381 + ], + [ + 2099, + 5294 + ], + [ + 6206, + 6368 + ], + [ + 9561, + 10281 + ], + [ + 4081, + 10982 + ], + [ + 1187, + 5966 + ], + [ + 2425, + 10190 + ], + [ + 3963, + 6008 + ], + [ + 8182, + 11487 + ], + [ + 7591, + 11019 + ], + [ + 5920, + 6913 + ], + [ + 7964, + 9315 + ], + [ + 2181, + 10961 + ], + [ + 268, + 2434 + ], + [ + 740, + 11289 + ], + [ + 8549, + 9187 + ], + [ + 6830, + 8827 + ], + [ + 1853, + 7116 + ], + [ + 581, + 9697 + ], + [ + 6364, + 6553 + ], + [ + 9541, + 11103 + ], + [ + 5085, + 5711 + ], + [ + 1819, + 5253 + ], + [ + 8608, + 10898 + ], + [ + 7541, + 10501 + ], + [ + 5292, + 6189 + ], + [ + 4300, + 11039 + ], + [ + 723, + 2583 + ], + [ + 2280, + 3369 + ], + [ + 4854, + 5963 + ], + [ + 750, + 11576 + ], + [ + 6548, + 9464 + ], + [ + 1744, + 6018 + ], + [ + 3609, + 11121 + ], + [ + 348, + 11007 + ], + [ + 8469, + 10712 + ], + [ + 2461, + 9042 + ], + [ + 5668, + 5887 + ], + [ + 4073, + 9535 + ], + [ + 1117, + 10057 + ], + [ + 494, + 10832 + ], + [ + 3799, + 10464 + ], + [ + 2894, + 8143 + ], + [ + 3455, + 10654 + ], + [ + 253, + 1321 + ], + [ + 5172, + 8689 + ], + [ + 6966, + 10162 + ], + [ + 1950, + 9277 + ], + [ + 7994, + 8352 + ], + [ + 2956, + 5988 + ], + [ + 3504, + 9011 + ], + [ + 5446, + 9608 + ], + [ + 1847, + 9529 + ], + [ + 2881, + 3370 + ], + [ + 8837, + 9014 + ], + [ + 2194, + 6604 + ], + [ + 6674, + 10892 + ], + [ + 5151, + 9690 + ], + [ + 6147, + 7211 + ], + [ + 2186, + 5962 + ], + [ + 2380, + 9211 + ], + [ + 7514, + 11283 + ], + [ + 3596, + 8950 + ], + [ + 5914, + 8171 + ], + [ + 6613, + 9835 + ], + [ + 7384, + 9712 + ], + [ + 1441, + 4273 + ], + [ + 661, + 11480 + ], + [ + 1550, + 8380 + ], + [ + 4662, + 8371 + ], + [ + 0, + 2322 + ], + [ + 3009, + 4844 + ], + [ + 2486, + 3571 + ], + [ + 871, + 9196 + ], + [ + 1151, + 11465 + ], + [ + 2722, + 4787 + ], + [ + 2471, + 4387 + ], + [ + 6390, + 10328 + ], + [ + 3969, + 7976 + ], + [ + 2775, + 5552 + ], + [ + 9908, + 11007 + ], + [ + 2195, + 2991 + ], + [ + 7234, + 8209 + ], + [ + 5238, + 10759 + ], + [ + 2097, + 11501 + ], + [ + 222, + 10628 + ], + [ + 2066, + 9936 + ], + [ + 2375, + 11445 + ], + [ + 32, + 3334 + ], + [ + 200, + 5362 + ], + [ + 4427, + 11456 + ], + [ + 819, + 1435 + ], + [ + 3395, + 4075 + ], + [ + 2884, + 5845 + ], + [ + 1369, + 8668 + ], + [ + 1983, + 3643 + ], + [ + 5587, + 10512 + ], + [ + 4164, + 6508 + ], + [ + 6123, + 8240 + ], + [ + 3747, + 4907 + ], + [ + 8664, + 11448 + ], + [ + 948, + 8796 + ], + [ + 3534, + 7243 + ], + [ + 7673, + 11238 + ], + [ + 2441, + 5625 + ], + [ + 512, + 9397 + ], + [ + 4080, + 10193 + ], + [ + 9496, + 11197 + ], + [ + 1585, + 2442 + ], + [ + 4730, + 4825 + ], + [ + 11185, + 11348 + ], + [ + 3964, + 10210 + ], + [ + 7410, + 8569 + ], + [ + 371, + 9165 + ], + [ + 5142, + 7213 + ], + [ + 1064, + 6877 + ], + [ + 1095, + 6190 + ], + [ + 9669, + 9812 + ], + [ + 5629, + 6550 + ], + [ + 10611, + 11234 + ], + [ + 7794, + 8158 + ], + [ + 1694, + 2735 + ], + [ + 1614, + 11077 + ], + [ + 112, + 10752 + ], + [ + 8412, + 10422 + ], + [ + 4805, + 9671 + ], + [ + 3585, + 6026 + ], + [ + 2685, + 4049 + ], + [ + 818, + 8699 + ], + [ + 1506, + 6821 + ], + [ + 7333, + 9611 + ], + [ + 5862, + 8599 + ], + [ + 8386, + 8420 + ], + [ + 3403, + 9927 + ], + [ + 784, + 6836 + ], + [ + 968, + 9397 + ], + [ + 5456, + 10540 + ], + [ + 2501, + 8254 + ], + [ + 5013, + 9970 + ], + [ + 1969, + 8393 + ], + [ + 472, + 8412 + ], + [ + 3703, + 9815 + ], + [ + 3046, + 5344 + ], + [ + 5981, + 10361 + ], + [ + 3673, + 5442 + ], + [ + 4793, + 5473 + ], + [ + 8955, + 10418 + ], + [ + 6123, + 6280 + ], + [ + 6651, + 8651 + ], + [ + 8609, + 9781 + ], + [ + 1582, + 11138 + ], + [ + 5448, + 6865 + ], + [ + 4448, + 7690 + ], + [ + 5152, + 5591 + ], + [ + 3722, + 4580 + ], + [ + 3780, + 8722 + ], + [ + 897, + 8002 + ], + [ + 6869, + 7009 + ], + [ + 1788, + 5729 + ], + [ + 3812, + 10108 + ], + [ + 3504, + 5791 + ], + [ + 4837, + 11033 + ], + [ + 2994, + 10415 + ], + [ + 2491, + 9794 + ], + [ + 2685, + 6627 + ], + [ + 3399, + 5216 + ], + [ + 6229, + 6275 + ], + [ + 6597, + 10643 + ], + [ + 3374, + 6849 + ], + [ + 7691, + 9453 + ], + [ + 318, + 10173 + ], + [ + 6132, + 6342 + ], + [ + 6787, + 7734 + ], + [ + 3518, + 3595 + ], + [ + 1271, + 3116 + ], + [ + 6933, + 7559 + ], + [ + 1654, + 2100 + ], + [ + 5138, + 8113 + ], + [ + 1647, + 11509 + ], + [ + 2358, + 7171 + ], + [ + 869, + 11215 + ], + [ + 4966, + 9349 + ], + [ + 2674, + 2681 + ], + [ + 26, + 1104 + ], + [ + 2763, + 8388 + ], + [ + 2045, + 5139 + ], + [ + 9230, + 11538 + ], + [ + 9106, + 9782 + ], + [ + 4401, + 6315 + ], + [ + 3323, + 9893 + ], + [ + 9224, + 10188 + ], + [ + 421, + 10651 + ], + [ + 227, + 986 + ], + [ + 5402, + 6065 + ], + [ + 6773, + 9879 + ], + [ + 3129, + 10027 + ], + [ + 6575, + 9140 + ], + [ + 1566, + 5262 + ], + [ + 7096, + 8088 + ], + [ + 5697, + 8642 + ], + [ + 3933, + 10761 + ], + [ + 6791, + 7452 + ], + [ + 2835, + 8799 + ], + [ + 1035, + 2593 + ], + [ + 7561, + 9356 + ], + [ + 1279, + 9369 + ], + [ + 5878, + 10905 + ], + [ + 10391, + 10415 + ], + [ + 10050, + 10122 + ], + [ + 98, + 4898 + ], + [ + 5858, + 6466 + ], + [ + 6694, + 6738 + ], + [ + 6377, + 11003 + ], + [ + 467, + 6458 + ], + [ + 2955, + 4370 + ], + [ + 2765, + 9908 + ], + [ + 432, + 7403 + ], + [ + 1330, + 2137 + ], + [ + 7470, + 10342 + ], + [ + 8399, + 10805 + ], + [ + 1985, + 4283 + ], + [ + 6215, + 7642 + ], + [ + 5432, + 6250 + ], + [ + 7049, + 7087 + ], + [ + 3260, + 11018 + ], + [ + 3786, + 3894 + ], + [ + 7074, + 8837 + ], + [ + 1754, + 7541 + ], + [ + 539, + 4240 + ], + [ + 172, + 6890 + ], + [ + 3558, + 7450 + ], + [ + 1040, + 5165 + ], + [ + 3429, + 8733 + ], + [ + 6858, + 7869 + ], + [ + 4291, + 7974 + ], + [ + 7014, + 8382 + ], + [ + 1679, + 1890 + ], + [ + 8318, + 10974 + ], + [ + 7685, + 11061 + ], + [ + 35, + 6777 + ], + [ + 1401, + 3077 + ], + [ + 933, + 1511 + ], + [ + 1779, + 2471 + ], + [ + 7001, + 7396 + ], + [ + 1521, + 1681 + ], + [ + 9051, + 10744 + ], + [ + 2268, + 9051 + ], + [ + 1205, + 3138 + ], + [ + 5998, + 11333 + ], + [ + 298, + 4154 + ], + [ + 1648, + 7091 + ], + [ + 5836, + 6841 + ], + [ + 3661, + 7928 + ], + [ + 2050, + 3873 + ], + [ + 6368, + 10085 + ], + [ + 739, + 10663 + ], + [ + 4800, + 9140 + ], + [ + 1570, + 10591 + ], + [ + 7014, + 7227 + ], + [ + 4428, + 6528 + ], + [ + 6487, + 8464 + ], + [ + 2817, + 3227 + ], + [ + 1136, + 1439 + ], + [ + 1318, + 6583 + ], + [ + 4807, + 8776 + ], + [ + 4397, + 10598 + ], + [ + 6072, + 9161 + ], + [ + 6514, + 9506 + ], + [ + 7136, + 9260 + ], + [ + 2714, + 9114 + ], + [ + 7124, + 7745 + ], + [ + 8550, + 9014 + ], + [ + 5692, + 5907 + ], + [ + 9453, + 10508 + ], + [ + 4580, + 10655 + ], + [ + 4172, + 8386 + ], + [ + 2801, + 5326 + ], + [ + 143, + 2307 + ], + [ + 9640, + 10334 + ], + [ + 9645, + 10678 + ], + [ + 1672, + 7461 + ], + [ + 180, + 7824 + ], + [ + 1491, + 4417 + ], + [ + 3767, + 4136 + ], + [ + 3665, + 3859 + ], + [ + 857, + 11449 + ], + [ + 1605, + 9622 + ], + [ + 2134, + 8431 + ], + [ + 10284, + 10786 + ], + [ + 7077, + 7525 + ], + [ + 2999, + 7189 + ], + [ + 1192, + 10392 + ], + [ + 1343, + 10561 + ], + [ + 4801, + 11189 + ], + [ + 412, + 603 + ], + [ + 2678, + 6050 + ], + [ + 7411, + 10030 + ], + [ + 4176, + 4721 + ], + [ + 8009, + 10888 + ], + [ + 7, + 2769 + ], + [ + 8221, + 9081 + ], + [ + 41, + 8015 + ], + [ + 1691, + 4828 + ], + [ + 5330, + 7746 + ], + [ + 3360, + 5855 + ], + [ + 5760, + 7330 + ], + [ + 3925, + 10737 + ], + [ + 5785, + 8326 + ], + [ + 2772, + 8314 + ], + [ + 2084, + 4530 + ], + [ + 8183, + 9728 + ], + [ + 96, + 4689 + ], + [ + 215, + 439 + ], + [ + 2828, + 9377 + ], + [ + 5634, + 8130 + ], + [ + 4106, + 10748 + ], + [ + 424, + 3996 + ], + [ + 3949, + 5846 + ], + [ + 6060, + 10224 + ], + [ + 5098, + 10779 + ], + [ + 5535, + 11534 + ], + [ + 1731, + 3853 + ], + [ + 9022, + 10648 + ], + [ + 5591, + 7679 + ], + [ + 90, + 8257 + ], + [ + 9706, + 11280 + ], + [ + 10821, + 10967 + ], + [ + 6593, + 7654 + ], + [ + 9568, + 11346 + ], + [ + 5559, + 6643 + ], + [ + 5567, + 6504 + ], + [ + 393, + 11449 + ], + [ + 235, + 1441 + ], + [ + 3383, + 9757 + ], + [ + 580, + 4859 + ], + [ + 5607, + 8562 + ], + [ + 3320, + 9408 + ], + [ + 543, + 11393 + ], + [ + 6548, + 7130 + ], + [ + 6541, + 10123 + ], + [ + 1873, + 6538 + ], + [ + 2313, + 6810 + ], + [ + 1382, + 2514 + ], + [ + 4773, + 8336 + ], + [ + 6387, + 9656 + ], + [ + 6113, + 10585 + ], + [ + 4427, + 7699 + ], + [ + 7104, + 7762 + ], + [ + 1091, + 6502 + ], + [ + 7531, + 7829 + ], + [ + 5521, + 6509 + ], + [ + 4045, + 5153 + ], + [ + 1278, + 8580 + ], + [ + 9566, + 10869 + ], + [ + 3300, + 4245 + ], + [ + 378, + 4351 + ], + [ + 5112, + 11185 + ], + [ + 4391, + 9173 + ], + [ + 2931, + 5287 + ], + [ + 403, + 8730 + ], + [ + 2392, + 5009 + ], + [ + 8393, + 9672 + ], + [ + 10504, + 11044 + ], + [ + 8946, + 10787 + ], + [ + 6124, + 8091 + ], + [ + 3039, + 5759 + ], + [ + 1785, + 3284 + ], + [ + 3197, + 7099 + ], + [ + 4255, + 5498 + ], + [ + 3787, + 3932 + ], + [ + 12, + 7569 + ], + [ + 793, + 8134 + ], + [ + 6990, + 9703 + ], + [ + 6964, + 8482 + ], + [ + 3776, + 9435 + ], + [ + 513, + 9248 + ], + [ + 8448, + 9729 + ], + [ + 1539, + 6611 + ], + [ + 2997, + 5883 + ], + [ + 525, + 2842 + ], + [ + 1529, + 11558 + ], + [ + 502, + 5302 + ], + [ + 9118, + 9150 + ], + [ + 8782, + 9201 + ], + [ + 2218, + 5364 + ], + [ + 3889, + 7218 + ], + [ + 6972, + 8723 + ], + [ + 5874, + 6007 + ], + [ + 4387, + 10878 + ], + [ + 4256, + 7951 + ], + [ + 3943, + 7454 + ], + [ + 3294, + 9260 + ], + [ + 2210, + 8886 + ], + [ + 1833, + 8936 + ], + [ + 6224, + 7517 + ], + [ + 2149, + 10862 + ], + [ + 1244, + 8541 + ], + [ + 919, + 2365 + ], + [ + 946, + 4188 + ], + [ + 5271, + 10817 + ], + [ + 3909, + 10472 + ], + [ + 917, + 9085 + ], + [ + 6214, + 9431 + ], + [ + 3468, + 10729 + ], + [ + 8421, + 10511 + ], + [ + 749, + 4024 + ], + [ + 7207, + 10818 + ], + [ + 5607, + 6952 + ], + [ + 3373, + 4426 + ], + [ + 847, + 10948 + ], + [ + 6542, + 11367 + ], + [ + 5854, + 7583 + ], + [ + 273, + 10861 + ], + [ + 813, + 8331 + ], + [ + 1609, + 9204 + ], + [ + 6135, + 9673 + ], + [ + 3320, + 9676 + ], + [ + 2738, + 10452 + ], + [ + 4629, + 9606 + ], + [ + 988, + 10025 + ], + [ + 2444, + 3589 + ], + [ + 9952, + 11173 + ], + [ + 420, + 10507 + ], + [ + 7856, + 7857 + ], + [ + 4653, + 11131 + ], + [ + 608, + 7525 + ], + [ + 4770, + 6054 + ], + [ + 2976, + 3046 + ], + [ + 6427, + 8919 + ], + [ + 8911, + 9341 + ], + [ + 3025, + 9354 + ], + [ + 3056, + 4503 + ], + [ + 6695, + 8175 + ], + [ + 4366, + 8041 + ], + [ + 6071, + 10977 + ], + [ + 875, + 5021 + ], + [ + 1679, + 6509 + ], + [ + 7291, + 11589 + ], + [ + 5044, + 11110 + ], + [ + 1331, + 2793 + ], + [ + 3543, + 11387 + ], + [ + 962, + 11032 + ], + [ + 2367, + 7260 + ], + [ + 2541, + 2717 + ], + [ + 7905, + 9947 + ], + [ + 835, + 1808 + ], + [ + 7803, + 9670 + ], + [ + 6003, + 9880 + ], + [ + 9477, + 11041 + ], + [ + 8673, + 9526 + ], + [ + 2725, + 7907 + ], + [ + 3322, + 6665 + ], + [ + 8299, + 11005 + ], + [ + 5331, + 10012 + ], + [ + 10838, + 11134 + ], + [ + 2405, + 5458 + ], + [ + 3344, + 7363 + ], + [ + 8786, + 9588 + ], + [ + 1343, + 3153 + ], + [ + 2158, + 2548 + ], + [ + 4799, + 7118 + ], + [ + 682, + 1192 + ], + [ + 3923, + 9699 + ], + [ + 3018, + 7378 + ], + [ + 5428, + 10295 + ], + [ + 7689, + 8228 + ], + [ + 5863, + 9469 + ], + [ + 3766, + 5551 + ], + [ + 3915, + 9057 + ], + [ + 1745, + 10488 + ], + [ + 6963, + 11507 + ], + [ + 1890, + 3672 + ], + [ + 5819, + 10301 + ], + [ + 4594, + 8564 + ], + [ + 4790, + 5470 + ], + [ + 4532, + 11096 + ], + [ + 4938, + 6122 + ], + [ + 5600, + 10937 + ], + [ + 6436, + 8957 + ], + [ + 8296, + 9552 + ], + [ + 1644, + 10032 + ], + [ + 2141, + 10838 + ], + [ + 4741, + 8991 + ], + [ + 147, + 1383 + ], + [ + 4462, + 9576 + ], + [ + 4033, + 7184 + ], + [ + 2605, + 2836 + ], + [ + 2947, + 5983 + ], + [ + 1641, + 3318 + ], + [ + 6864, + 11097 + ], + [ + 1038, + 11161 + ], + [ + 2745, + 8508 + ], + [ + 3927, + 9417 + ], + [ + 1077, + 4673 + ], + [ + 8040, + 11437 + ], + [ + 67, + 4056 + ], + [ + 6398, + 8823 + ], + [ + 8072, + 10194 + ], + [ + 8005, + 8972 + ], + [ + 6606, + 9526 + ], + [ + 6291, + 8202 + ], + [ + 2065, + 5716 + ], + [ + 9644, + 11288 + ], + [ + 1870, + 10910 + ], + [ + 530, + 2999 + ], + [ + 5550, + 10419 + ], + [ + 1865, + 4150 + ], + [ + 5388, + 10091 + ], + [ + 5844, + 10142 + ], + [ + 2046, + 6413 + ], + [ + 2393, + 9904 + ], + [ + 272, + 1428 + ], + [ + 2372, + 9027 + ], + [ + 4640, + 4721 + ], + [ + 2861, + 5808 + ], + [ + 7558, + 7879 + ], + [ + 3079, + 4947 + ], + [ + 1417, + 6619 + ], + [ + 3509, + 10193 + ], + [ + 5370, + 7226 + ], + [ + 2758, + 5306 + ], + [ + 5149, + 5537 + ], + [ + 1544, + 5613 + ], + [ + 7105, + 10004 + ], + [ + 766, + 2313 + ], + [ + 1375, + 3360 + ], + [ + 5490, + 9213 + ], + [ + 7021, + 8024 + ], + [ + 6670, + 7043 + ], + [ + 293, + 10202 + ], + [ + 2929, + 10264 + ], + [ + 8130, + 9394 + ], + [ + 472, + 1085 + ], + [ + 138, + 8379 + ], + [ + 7132, + 11046 + ], + [ + 110, + 10495 + ], + [ + 506, + 11249 + ], + [ + 3487, + 7559 + ], + [ + 7131, + 11575 + ], + [ + 402, + 3729 + ], + [ + 6764, + 10061 + ], + [ + 477, + 8976 + ], + [ + 1192, + 11173 + ], + [ + 337, + 8215 + ], + [ + 275, + 7337 + ], + [ + 1152, + 7610 + ], + [ + 216, + 10140 + ], + [ + 4734, + 10748 + ], + [ + 6289, + 9953 + ], + [ + 10179, + 10992 + ], + [ + 10523, + 10802 + ], + [ + 3481, + 4711 + ], + [ + 559, + 10479 + ], + [ + 1426, + 10064 + ], + [ + 1152, + 10993 + ], + [ + 2601, + 3386 + ], + [ + 273, + 1225 + ], + [ + 5443, + 5960 + ], + [ + 1086, + 6209 + ], + [ + 5594, + 6129 + ], + [ + 3505, + 6236 + ], + [ + 7711, + 11453 + ], + [ + 3528, + 6405 + ], + [ + 5923, + 8290 + ], + [ + 1191, + 7164 + ], + [ + 5275, + 10698 + ], + [ + 6235, + 8562 + ], + [ + 2997, + 10152 + ], + [ + 10150, + 10597 + ], + [ + 1602, + 5163 + ], + [ + 2928, + 11486 + ], + [ + 2930, + 5897 + ], + [ + 92, + 10612 + ], + [ + 42, + 4833 + ], + [ + 6227, + 11303 + ], + [ + 8534, + 10335 + ], + [ + 3742, + 4994 + ], + [ + 1460, + 4706 + ], + [ + 5324, + 6776 + ], + [ + 5169, + 9117 + ], + [ + 3507, + 11543 + ], + [ + 5229, + 9922 + ], + [ + 1153, + 10413 + ], + [ + 2166, + 9069 + ], + [ + 5223, + 9353 + ], + [ + 4189, + 4932 + ], + [ + 3944, + 8511 + ], + [ + 7464, + 10017 + ], + [ + 10654, + 11419 + ], + [ + 951, + 9151 + ], + [ + 4282, + 8506 + ], + [ + 5964, + 9738 + ], + [ + 5142, + 6920 + ], + [ + 2571, + 7253 + ], + [ + 314, + 6086 + ], + [ + 8818, + 8939 + ], + [ + 2560, + 9346 + ], + [ + 5488, + 10940 + ], + [ + 192, + 10038 + ], + [ + 2845, + 9707 + ], + [ + 3184, + 9173 + ], + [ + 756, + 5650 + ], + [ + 3619, + 9101 + ], + [ + 4555, + 6571 + ], + [ + 3937, + 7690 + ], + [ + 1306, + 3084 + ], + [ + 3613, + 8532 + ], + [ + 3081, + 5261 + ], + [ + 3117, + 4918 + ], + [ + 1532, + 2838 + ], + [ + 3853, + 7992 + ], + [ + 7748, + 8621 + ], + [ + 184, + 6363 + ], + [ + 2773, + 4327 + ], + [ + 5730, + 6659 + ], + [ + 3411, + 3860 + ], + [ + 4758, + 7280 + ], + [ + 3947, + 10256 + ], + [ + 6153, + 9236 + ], + [ + 1512, + 3310 + ], + [ + 452, + 1832 + ], + [ + 5087, + 5277 + ], + [ + 5938, + 10745 + ], + [ + 1630, + 5251 + ], + [ + 1328, + 11302 + ], + [ + 1605, + 7638 + ], + [ + 5022, + 7511 + ], + [ + 5515, + 10827 + ], + [ + 759, + 5143 + ], + [ + 4644, + 8090 + ], + [ + 2288, + 10297 + ], + [ + 2624, + 3830 + ], + [ + 3594, + 6546 + ], + [ + 4743, + 11479 + ], + [ + 7169, + 8513 + ], + [ + 8853, + 10572 + ], + [ + 4149, + 11494 + ], + [ + 4106, + 8414 + ], + [ + 2146, + 6457 + ], + [ + 3961, + 5027 + ], + [ + 1492, + 5667 + ], + [ + 2732, + 9964 + ], + [ + 220, + 1832 + ], + [ + 626, + 2520 + ], + [ + 1498, + 2449 + ], + [ + 1894, + 3203 + ], + [ + 3333, + 11093 + ], + [ + 2984, + 4523 + ], + [ + 1280, + 10857 + ], + [ + 6693, + 8934 + ], + [ + 3197, + 5570 + ], + [ + 6247, + 10345 + ], + [ + 5003, + 8558 + ], + [ + 2103, + 3727 + ], + [ + 2476, + 8439 + ], + [ + 7395, + 9391 + ], + [ + 7049, + 8754 + ], + [ + 918, + 2520 + ], + [ + 757, + 11462 + ], + [ + 2976, + 3477 + ], + [ + 636, + 6217 + ], + [ + 887, + 10000 + ], + [ + 4619, + 5535 + ], + [ + 1066, + 5801 + ], + [ + 5356, + 9211 + ], + [ + 1497, + 1823 + ], + [ + 4296, + 9985 + ], + [ + 228, + 8085 + ], + [ + 133, + 4815 + ], + [ + 1461, + 5549 + ], + [ + 11266, + 11477 + ], + [ + 1242, + 10349 + ], + [ + 433, + 8490 + ], + [ + 2619, + 5283 + ], + [ + 2198, + 2809 + ], + [ + 4640, + 10145 + ], + [ + 3139, + 10422 + ], + [ + 3082, + 9888 + ], + [ + 3475, + 9590 + ], + [ + 4189, + 8933 + ], + [ + 6861, + 8652 + ], + [ + 5054, + 5439 + ], + [ + 4468, + 10977 + ], + [ + 3214, + 8502 + ], + [ + 1998, + 2347 + ], + [ + 2109, + 9503 + ], + [ + 5151, + 8755 + ], + [ + 9664, + 10517 + ], + [ + 3396, + 7984 + ], + [ + 4999, + 11367 + ], + [ + 1257, + 4564 + ], + [ + 2398, + 2466 + ], + [ + 1541, + 4323 + ], + [ + 1043, + 9708 + ], + [ + 6442, + 9607 + ], + [ + 778, + 1331 + ], + [ + 4246, + 9817 + ], + [ + 3016, + 11146 + ], + [ + 5137, + 9796 + ], + [ + 6315, + 10963 + ], + [ + 3856, + 5875 + ], + [ + 1717, + 2455 + ], + [ + 5411, + 5834 + ], + [ + 3757, + 11531 + ], + [ + 5474, + 9566 + ], + [ + 4192, + 11459 + ], + [ + 1088, + 2661 + ], + [ + 4536, + 9017 + ], + [ + 1487, + 2932 + ], + [ + 1425, + 6218 + ], + [ + 8372, + 9039 + ], + [ + 1915, + 5099 + ], + [ + 5039, + 6605 + ], + [ + 7525, + 10106 + ], + [ + 6959, + 11415 + ], + [ + 3948, + 5814 + ], + [ + 7647, + 9537 + ], + [ + 178, + 3379 + ], + [ + 882, + 1280 + ], + [ + 6869, + 8489 + ], + [ + 8985, + 10205 + ], + [ + 3763, + 6034 + ], + [ + 9422, + 10960 + ], + [ + 6712, + 8505 + ], + [ + 11135, + 11505 + ], + [ + 4910, + 7888 + ], + [ + 5371, + 9037 + ], + [ + 2040, + 7430 + ], + [ + 1938, + 2989 + ], + [ + 229, + 9733 + ], + [ + 5772, + 10512 + ], + [ + 1655, + 4586 + ], + [ + 11147, + 11515 + ], + [ + 879, + 4365 + ], + [ + 1035, + 4878 + ], + [ + 1281, + 8317 + ], + [ + 1501, + 10535 + ], + [ + 4801, + 9823 + ], + [ + 7502, + 8028 + ], + [ + 4489, + 8016 + ], + [ + 10024, + 11186 + ], + [ + 3670, + 4715 + ], + [ + 225, + 9210 + ], + [ + 9246, + 10892 + ], + [ + 598, + 5254 + ], + [ + 1219, + 4406 + ], + [ + 7998, + 9363 + ], + [ + 5221, + 11348 + ], + [ + 35, + 6834 + ], + [ + 2862, + 3458 + ], + [ + 3646, + 9956 + ], + [ + 2581, + 10386 + ], + [ + 10213, + 11058 + ], + [ + 7622, + 10015 + ], + [ + 328, + 2168 + ], + [ + 3361, + 4310 + ], + [ + 5752, + 7951 + ], + [ + 26, + 5967 + ], + [ + 1736, + 9247 + ], + [ + 6593, + 9321 + ], + [ + 3759, + 10772 + ], + [ + 1550, + 3607 + ], + [ + 3566, + 11131 + ], + [ + 7986, + 8198 + ], + [ + 145, + 6598 + ], + [ + 1162, + 9914 + ], + [ + 6089, + 10727 + ], + [ + 4682, + 5004 + ], + [ + 3436, + 8806 + ], + [ + 1251, + 2035 + ], + [ + 573, + 3103 + ], + [ + 460, + 11305 + ], + [ + 266, + 1640 + ], + [ + 507, + 4735 + ], + [ + 3194, + 5486 + ], + [ + 9788, + 10663 + ], + [ + 686, + 3919 + ], + [ + 4925, + 10774 + ], + [ + 6256, + 11025 + ], + [ + 5982, + 10456 + ], + [ + 2704, + 8483 + ], + [ + 364, + 4807 + ], + [ + 2729, + 9479 + ], + [ + 5194, + 5687 + ], + [ + 1174, + 9493 + ], + [ + 116, + 3924 + ], + [ + 1512, + 2318 + ], + [ + 5460, + 6745 + ], + [ + 2344, + 3602 + ], + [ + 8828, + 10863 + ], + [ + 3035, + 6903 + ], + [ + 1313, + 2108 + ], + [ + 8162, + 8558 + ], + [ + 3055, + 8309 + ], + [ + 8760, + 9416 + ], + [ + 1356, + 8571 + ], + [ + 4764, + 11364 + ], + [ + 5335, + 8147 + ], + [ + 698, + 6881 + ], + [ + 8900, + 9426 + ], + [ + 7719, + 11371 + ], + [ + 10248, + 11536 + ], + [ + 2682, + 9609 + ], + [ + 5918, + 7946 + ], + [ + 2822, + 11117 + ], + [ + 465, + 4054 + ], + [ + 1669, + 9448 + ], + [ + 4224, + 7828 + ], + [ + 1080, + 9053 + ], + [ + 4815, + 8269 + ], + [ + 3998, + 5795 + ], + [ + 3225, + 10009 + ], + [ + 4505, + 7289 + ], + [ + 637, + 2067 + ], + [ + 2751, + 9372 + ], + [ + 1240, + 9685 + ], + [ + 6078, + 11237 + ], + [ + 7974, + 11489 + ], + [ + 3653, + 11395 + ], + [ + 234, + 10695 + ], + [ + 7042, + 7722 + ], + [ + 734, + 8766 + ], + [ + 4593, + 9738 + ], + [ + 5082, + 6519 + ], + [ + 4278, + 8414 + ], + [ + 7640, + 9334 + ], + [ + 6981, + 9698 + ], + [ + 782, + 5050 + ], + [ + 2621, + 11184 + ], + [ + 7970, + 10966 + ], + [ + 2394, + 5543 + ], + [ + 5697, + 8512 + ], + [ + 7295, + 11551 + ], + [ + 4360, + 6534 + ], + [ + 2066, + 9619 + ], + [ + 1753, + 4958 + ], + [ + 3183, + 3717 + ], + [ + 3090, + 3526 + ], + [ + 130, + 6558 + ], + [ + 3340, + 7084 + ], + [ + 6846, + 10412 + ], + [ + 846, + 9357 + ], + [ + 2553, + 6704 + ], + [ + 3602, + 8023 + ], + [ + 4885, + 8984 + ], + [ + 2132, + 3449 + ], + [ + 4664, + 7295 + ], + [ + 4499, + 8948 + ], + [ + 2484, + 8038 + ], + [ + 8449, + 10038 + ], + [ + 1546, + 7489 + ], + [ + 1298, + 3223 + ], + [ + 830, + 903 + ], + [ + 7583, + 7645 + ], + [ + 1103, + 9171 + ], + [ + 4475, + 7773 + ], + [ + 1072, + 7606 + ], + [ + 5968, + 6854 + ], + [ + 880, + 10065 + ], + [ + 4894, + 8696 + ], + [ + 8734, + 9618 + ], + [ + 5716, + 9262 + ], + [ + 1070, + 1494 + ], + [ + 3458, + 3706 + ], + [ + 445, + 7858 + ], + [ + 1663, + 8424 + ], + [ + 2680, + 6822 + ], + [ + 4268, + 9173 + ], + [ + 4617, + 7075 + ], + [ + 5479, + 8568 + ], + [ + 4958, + 7368 + ], + [ + 2500, + 5134 + ], + [ + 4198, + 11063 + ], + [ + 6919, + 11398 + ], + [ + 9438, + 10875 + ], + [ + 2148, + 11098 + ], + [ + 6907, + 9883 + ], + [ + 1616, + 7073 + ], + [ + 2426, + 6124 + ], + [ + 1110, + 2771 + ], + [ + 3510, + 4246 + ], + [ + 4139, + 6669 + ], + [ + 1204, + 5816 + ], + [ + 5813, + 8040 + ], + [ + 3633, + 8783 + ], + [ + 7745, + 7949 + ], + [ + 2545, + 10919 + ], + [ + 3100, + 9451 + ], + [ + 87, + 9439 + ], + [ + 6116, + 8980 + ], + [ + 4399, + 4529 + ], + [ + 9194, + 10141 + ], + [ + 975, + 3485 + ], + [ + 10417, + 11051 + ], + [ + 2349, + 10980 + ], + [ + 7359, + 11296 + ], + [ + 3565, + 4303 + ], + [ + 4747, + 5212 + ], + [ + 8699, + 9381 + ], + [ + 2009, + 7125 + ], + [ + 9034, + 9105 + ], + [ + 10658, + 11113 + ], + [ + 4343, + 4570 + ], + [ + 845, + 10959 + ], + [ + 2868, + 6068 + ], + [ + 495, + 6416 + ], + [ + 5515, + 7420 + ], + [ + 4861, + 8882 + ], + [ + 5365, + 10859 + ], + [ + 7717, + 11162 + ], + [ + 5981, + 6661 + ], + [ + 977, + 9543 + ], + [ + 4709, + 9242 + ], + [ + 4458, + 5459 + ], + [ + 3293, + 7937 + ], + [ + 5409, + 10407 + ], + [ + 1871, + 7541 + ], + [ + 9935, + 10876 + ], + [ + 7334, + 8391 + ], + [ + 897, + 919 + ], + [ + 3176, + 10735 + ], + [ + 5848, + 10454 + ], + [ + 63, + 7109 + ], + [ + 3762, + 10078 + ], + [ + 2950, + 7948 + ], + [ + 405, + 3840 + ], + [ + 5025, + 10417 + ], + [ + 6000, + 7061 + ], + [ + 9642, + 10250 + ], + [ + 6987, + 7502 + ], + [ + 6930, + 11132 + ], + [ + 3439, + 8112 + ], + [ + 326, + 10902 + ], + [ + 3101, + 5084 + ], + [ + 5365, + 9704 + ], + [ + 2975, + 6665 + ], + [ + 4346, + 10479 + ], + [ + 7178, + 8201 + ], + [ + 7135, + 10783 + ], + [ + 4184, + 5233 + ], + [ + 3504, + 5474 + ], + [ + 8411, + 11327 + ], + [ + 40, + 5031 + ], + [ + 6194, + 9936 + ], + [ + 2553, + 10355 + ], + [ + 6451, + 11255 + ], + [ + 5203, + 5562 + ], + [ + 5387, + 7369 + ], + [ + 308, + 2752 + ], + [ + 2799, + 10761 + ], + [ + 4541, + 9792 + ], + [ + 2423, + 11413 + ], + [ + 957, + 10745 + ], + [ + 2080, + 3877 + ], + [ + 8303, + 11585 + ], + [ + 7554, + 9023 + ], + [ + 1303, + 4185 + ], + [ + 1071, + 4616 + ], + [ + 2139, + 2205 + ], + [ + 6427, + 11204 + ], + [ + 3442, + 4572 + ], + [ + 161, + 5334 + ], + [ + 7357, + 8859 + ], + [ + 5421, + 5798 + ], + [ + 2711, + 7507 + ], + [ + 9288, + 10795 + ], + [ + 8254, + 10538 + ], + [ + 4396, + 6004 + ], + [ + 3644, + 3925 + ], + [ + 7475, + 10019 + ], + [ + 7783, + 7920 + ], + [ + 3550, + 4263 + ], + [ + 303, + 8019 + ], + [ + 249, + 11166 + ], + [ + 6966, + 11081 + ], + [ + 1520, + 11366 + ], + [ + 7401, + 8757 + ], + [ + 3887, + 4033 + ], + [ + 7056, + 10974 + ], + [ + 4912, + 11374 + ], + [ + 2195, + 7748 + ], + [ + 1696, + 6115 + ], + [ + 77, + 2199 + ], + [ + 421, + 2763 + ], + [ + 574, + 3005 + ], + [ + 241, + 7491 + ], + [ + 7701, + 10897 + ], + [ + 516, + 9416 + ], + [ + 1362, + 3960 + ], + [ + 2819, + 6794 + ], + [ + 9099, + 10872 + ], + [ + 9585, + 10765 + ], + [ + 7014, + 11098 + ], + [ + 13, + 844 + ], + [ + 4085, + 7781 + ], + [ + 348, + 1322 + ], + [ + 1032, + 10622 + ], + [ + 1839, + 9402 + ], + [ + 8623, + 11293 + ], + [ + 10615, + 11253 + ], + [ + 5200, + 10097 + ], + [ + 1750, + 10084 + ], + [ + 7722, + 9091 + ], + [ + 1867, + 4253 + ], + [ + 2429, + 3202 + ], + [ + 2174, + 9099 + ], + [ + 7616, + 11324 + ], + [ + 3378, + 7323 + ], + [ + 2545, + 10732 + ], + [ + 799, + 1379 + ], + [ + 4756, + 5892 + ], + [ + 4100, + 10691 + ], + [ + 1113, + 9648 + ], + [ + 7610, + 11509 + ], + [ + 8088, + 8101 + ], + [ + 9053, + 10473 + ], + [ + 741, + 7790 + ], + [ + 2666, + 6528 + ], + [ + 1360, + 3109 + ], + [ + 4756, + 9275 + ], + [ + 7760, + 11453 + ], + [ + 3412, + 3874 + ], + [ + 5958, + 10836 + ], + [ + 2992, + 4254 + ], + [ + 9008, + 9949 + ], + [ + 541, + 9607 + ], + [ + 9591, + 9775 + ], + [ + 3491, + 11522 + ], + [ + 69, + 4135 + ], + [ + 10676, + 10751 + ], + [ + 8965, + 10252 + ], + [ + 288, + 9134 + ], + [ + 943, + 10526 + ], + [ + 2053, + 9869 + ], + [ + 4823, + 5959 + ], + [ + 6693, + 11406 + ], + [ + 2587, + 6770 + ], + [ + 2950, + 10794 + ], + [ + 4904, + 8018 + ], + [ + 5043, + 5144 + ], + [ + 4907, + 8289 + ], + [ + 4533, + 9768 + ], + [ + 1864, + 7314 + ], + [ + 5059, + 9060 + ], + [ + 916, + 1913 + ], + [ + 5833, + 8454 + ], + [ + 632, + 2154 + ], + [ + 1392, + 1842 + ], + [ + 3250, + 5020 + ], + [ + 638, + 5352 + ], + [ + 3630, + 5241 + ], + [ + 3380, + 10728 + ], + [ + 794, + 5865 + ], + [ + 1099, + 4249 + ], + [ + 2196, + 8992 + ], + [ + 635, + 11470 + ], + [ + 358, + 6466 + ], + [ + 4675, + 9070 + ], + [ + 2472, + 8109 + ], + [ + 4342, + 6386 + ], + [ + 6544, + 10128 + ], + [ + 5388, + 8188 + ], + [ + 1193, + 7267 + ], + [ + 6260, + 10369 + ], + [ + 104, + 2385 + ], + [ + 998, + 6045 + ], + [ + 5786, + 8234 + ], + [ + 2023, + 6970 + ], + [ + 3929, + 7910 + ], + [ + 7793, + 9226 + ], + [ + 5880, + 7869 + ], + [ + 6285, + 9086 + ], + [ + 2303, + 6206 + ], + [ + 2270, + 10230 + ], + [ + 2671, + 4912 + ], + [ + 4997, + 10410 + ], + [ + 7870, + 8133 + ], + [ + 6024, + 7244 + ], + [ + 2266, + 7078 + ], + [ + 2132, + 3880 + ], + [ + 516, + 6651 + ], + [ + 2223, + 3998 + ], + [ + 1075, + 8335 + ], + [ + 4433, + 5349 + ], + [ + 2171, + 7191 + ], + [ + 3255, + 4559 + ], + [ + 2759, + 7361 + ], + [ + 5401, + 8369 + ], + [ + 7409, + 8862 + ], + [ + 4499, + 9729 + ], + [ + 4437, + 8851 + ], + [ + 2006, + 5811 + ], + [ + 633, + 1170 + ], + [ + 385, + 8238 + ], + [ + 3580, + 9230 + ], + [ + 999, + 9629 + ], + [ + 5388, + 7383 + ], + [ + 2965, + 4204 + ], + [ + 3426, + 8763 + ], + [ + 4804, + 7332 + ], + [ + 1621, + 8629 + ], + [ + 1371, + 8454 + ], + [ + 466, + 6133 + ], + [ + 6190, + 11454 + ], + [ + 5511, + 8887 + ], + [ + 334, + 2981 + ], + [ + 6656, + 9914 + ], + [ + 2920, + 11227 + ], + [ + 4004, + 4431 + ], + [ + 6213, + 9344 + ], + [ + 5776, + 9343 + ], + [ + 7312, + 8498 + ], + [ + 8272, + 10526 + ], + [ + 2665, + 9954 + ], + [ + 7152, + 11249 + ], + [ + 3824, + 9159 + ], + [ + 4352, + 11530 + ], + [ + 4128, + 10324 + ], + [ + 2041, + 7094 + ], + [ + 4092, + 4251 + ], + [ + 330, + 5841 + ], + [ + 973, + 6472 + ], + [ + 1663, + 4667 + ], + [ + 3022, + 6966 + ], + [ + 351, + 10101 + ], + [ + 7413, + 11182 + ], + [ + 3676, + 8887 + ], + [ + 3032, + 11037 + ], + [ + 1246, + 8701 + ], + [ + 2362, + 11242 + ], + [ + 39, + 9425 + ], + [ + 6187, + 6968 + ], + [ + 2644, + 3758 + ], + [ + 3609, + 4632 + ], + [ + 139, + 5872 + ], + [ + 369, + 8778 + ], + [ + 3285, + 11109 + ], + [ + 3223, + 10231 + ], + [ + 7858, + 11424 + ], + [ + 1397, + 9220 + ], + [ + 4506, + 4776 + ], + [ + 1605, + 9923 + ], + [ + 3089, + 4000 + ], + [ + 10809, + 10908 + ], + [ + 3674, + 3872 + ], + [ + 2061, + 10324 + ], + [ + 4492, + 6948 + ], + [ + 717, + 11339 + ], + [ + 2114, + 6952 + ], + [ + 1783, + 8101 + ], + [ + 7375, + 7641 + ], + [ + 995, + 10529 + ], + [ + 3236, + 7029 + ], + [ + 2895, + 10900 + ], + [ + 4693, + 9863 + ], + [ + 585, + 11570 + ], + [ + 2947, + 10309 + ], + [ + 3886, + 5798 + ], + [ + 1830, + 1881 + ], + [ + 7764, + 10984 + ], + [ + 3781, + 7502 + ], + [ + 4591, + 6553 + ], + [ + 6616, + 8905 + ], + [ + 8512, + 9157 + ], + [ + 1786, + 7244 + ], + [ + 430, + 5216 + ], + [ + 4587, + 9817 + ], + [ + 6176, + 7852 + ], + [ + 7519, + 8120 + ], + [ + 3751, + 6512 + ], + [ + 1386, + 6721 + ], + [ + 3676, + 10310 + ], + [ + 3924, + 3996 + ], + [ + 3464, + 5701 + ], + [ + 3987, + 7728 + ], + [ + 2435, + 8040 + ], + [ + 3178, + 5869 + ], + [ + 2870, + 5716 + ], + [ + 5912, + 6466 + ], + [ + 523, + 7285 + ], + [ + 5318, + 5727 + ], + [ + 125, + 6458 + ], + [ + 3922, + 10716 + ], + [ + 1346, + 10705 + ], + [ + 1988, + 3564 + ], + [ + 4042, + 11572 + ], + [ + 4171, + 7256 + ], + [ + 931, + 1603 + ], + [ + 4358, + 7082 + ], + [ + 2553, + 6948 + ], + [ + 9271, + 9717 + ], + [ + 395, + 5006 + ], + [ + 5353, + 11548 + ], + [ + 10205, + 11278 + ], + [ + 7309, + 9599 + ], + [ + 2517, + 10674 + ], + [ + 730, + 10365 + ], + [ + 1141, + 9899 + ], + [ + 547, + 11412 + ], + [ + 4036, + 11353 + ], + [ + 164, + 8641 + ], + [ + 78, + 3205 + ], + [ + 11283, + 11433 + ], + [ + 4239, + 10931 + ], + [ + 2090, + 3817 + ], + [ + 1379, + 8909 + ], + [ + 1003, + 9561 + ], + [ + 4086, + 11066 + ], + [ + 7933, + 10523 + ], + [ + 8805, + 10452 + ], + [ + 2391, + 3930 + ], + [ + 1960, + 11291 + ], + [ + 3636, + 9325 + ], + [ + 615, + 3036 + ], + [ + 5167, + 8136 + ], + [ + 2323, + 9653 + ], + [ + 1517, + 4305 + ], + [ + 6126, + 6529 + ], + [ + 1510, + 3134 + ], + [ + 1864, + 8550 + ], + [ + 4262, + 9198 + ], + [ + 7431, + 9723 + ], + [ + 1576, + 4885 + ], + [ + 609, + 1686 + ], + [ + 6302, + 8448 + ], + [ + 6923, + 11010 + ], + [ + 6926, + 8275 + ], + [ + 8827, + 8871 + ], + [ + 2822, + 6718 + ], + [ + 7457, + 7911 + ], + [ + 141, + 9165 + ], + [ + 2287, + 3930 + ], + [ + 8513, + 10401 + ], + [ + 2726, + 10393 + ], + [ + 10718, + 11408 + ], + [ + 2559, + 11219 + ], + [ + 5174, + 10404 + ], + [ + 2588, + 10459 + ], + [ + 1507, + 9602 + ], + [ + 967, + 5716 + ], + [ + 3398, + 9510 + ], + [ + 4771, + 6981 + ], + [ + 3764, + 10799 + ], + [ + 536, + 6661 + ], + [ + 1276, + 7225 + ], + [ + 4185, + 6857 + ], + [ + 2732, + 9834 + ], + [ + 3329, + 7838 + ], + [ + 4392, + 7335 + ], + [ + 8399, + 8959 + ], + [ + 2986, + 7472 + ], + [ + 5099, + 5507 + ], + [ + 3667, + 10085 + ], + [ + 5826, + 9219 + ], + [ + 3302, + 9398 + ], + [ + 3856, + 4322 + ], + [ + 10177, + 10653 + ], + [ + 1144, + 7456 + ], + [ + 7240, + 8973 + ], + [ + 4036, + 9393 + ], + [ + 2363, + 5214 + ], + [ + 2480, + 5799 + ], + [ + 7122, + 8163 + ], + [ + 1454, + 9567 + ], + [ + 4871, + 10194 + ], + [ + 3637, + 9095 + ], + [ + 1987, + 5866 + ], + [ + 4807, + 7735 + ], + [ + 5681, + 8491 + ], + [ + 4447, + 7392 + ], + [ + 8019, + 9842 + ], + [ + 617, + 4906 + ], + [ + 7414, + 10442 + ], + [ + 2130, + 4639 + ], + [ + 3271, + 3295 + ], + [ + 9375, + 11089 + ], + [ + 5760, + 10477 + ], + [ + 4268, + 4424 + ], + [ + 904, + 1179 + ], + [ + 1786, + 8212 + ], + [ + 1184, + 9864 + ], + [ + 10621, + 10670 + ], + [ + 7507, + 9852 + ], + [ + 4389, + 5882 + ], + [ + 2993, + 10871 + ], + [ + 1159, + 5081 + ], + [ + 876, + 2514 + ], + [ + 1813, + 9254 + ], + [ + 5909, + 10169 + ], + [ + 3325, + 3881 + ], + [ + 4624, + 5375 + ], + [ + 2975, + 5754 + ], + [ + 10447, + 11429 + ], + [ + 5876, + 11160 + ], + [ + 2889, + 10117 + ], + [ + 4539, + 6176 + ], + [ + 1205, + 1642 + ], + [ + 3725, + 10389 + ], + [ + 5996, + 9010 + ], + [ + 7775, + 8677 + ], + [ + 3066, + 8501 + ], + [ + 4072, + 7464 + ], + [ + 5278, + 6515 + ], + [ + 1828, + 10666 + ], + [ + 2036, + 4953 + ], + [ + 790, + 5749 + ], + [ + 6084, + 8830 + ], + [ + 5215, + 6166 + ], + [ + 4236, + 4862 + ], + [ + 4461, + 7424 + ], + [ + 230, + 6846 + ], + [ + 70, + 3181 + ], + [ + 6016, + 7383 + ], + [ + 6508, + 7845 + ], + [ + 1059, + 3695 + ], + [ + 5009, + 11201 + ], + [ + 1407, + 10794 + ], + [ + 627, + 7421 + ], + [ + 2766, + 4425 + ], + [ + 1783, + 7109 + ], + [ + 439, + 954 + ], + [ + 6158, + 6685 + ], + [ + 6106, + 6495 + ], + [ + 7066, + 8523 + ], + [ + 4953, + 10488 + ], + [ + 5538, + 6977 + ], + [ + 2073, + 2926 + ], + [ + 4235, + 7993 + ], + [ + 1150, + 3409 + ], + [ + 7614, + 10048 + ], + [ + 5310, + 8281 + ], + [ + 19, + 5471 + ], + [ + 306, + 8911 + ], + [ + 4939, + 9277 + ], + [ + 2107, + 5893 + ], + [ + 8798, + 11003 + ], + [ + 4493, + 5026 + ], + [ + 2852, + 9430 + ], + [ + 2214, + 9173 + ], + [ + 450, + 4876 + ], + [ + 9932, + 11117 + ], + [ + 598, + 4774 + ], + [ + 2972, + 8034 + ], + [ + 6076, + 9662 + ], + [ + 6420, + 7974 + ], + [ + 10752, + 10856 + ], + [ + 1874, + 5318 + ], + [ + 824, + 10944 + ], + [ + 4988, + 6136 + ], + [ + 5829, + 6752 + ], + [ + 1849, + 7705 + ], + [ + 6608, + 10654 + ], + [ + 8538, + 9736 + ], + [ + 8715, + 10372 + ], + [ + 3584, + 9729 + ], + [ + 7042, + 10357 + ], + [ + 2338, + 7115 + ], + [ + 2426, + 2798 + ], + [ + 4019, + 9657 + ], + [ + 9673, + 10075 + ], + [ + 6157, + 8688 + ], + [ + 6312, + 6347 + ], + [ + 2836, + 4359 + ], + [ + 7808, + 9109 + ], + [ + 644, + 1335 + ], + [ + 2644, + 7572 + ], + [ + 1889, + 5976 + ], + [ + 1736, + 9117 + ], + [ + 1579, + 11385 + ], + [ + 7699, + 11044 + ], + [ + 2229, + 6017 + ], + [ + 1086, + 10698 + ], + [ + 9985, + 11451 + ], + [ + 5925, + 6059 + ], + [ + 3722, + 8508 + ], + [ + 2780, + 7059 + ], + [ + 2289, + 3035 + ], + [ + 3376, + 11254 + ], + [ + 1872, + 7850 + ], + [ + 6572, + 10192 + ], + [ + 2186, + 9703 + ], + [ + 5381, + 11449 + ], + [ + 5331, + 5670 + ], + [ + 3576, + 11315 + ], + [ + 1212, + 3081 + ], + [ + 5451, + 9936 + ], + [ + 6910, + 9433 + ], + [ + 1617, + 4298 + ], + [ + 2155, + 7357 + ], + [ + 5259, + 6733 + ], + [ + 7461, + 10475 + ], + [ + 4379, + 6162 + ], + [ + 9050, + 9264 + ], + [ + 5880, + 9268 + ], + [ + 1701, + 5874 + ], + [ + 3319, + 9565 + ], + [ + 9790, + 10205 + ], + [ + 2844, + 6828 + ], + [ + 8420, + 9999 + ], + [ + 3967, + 10540 + ], + [ + 137, + 8054 + ], + [ + 1593, + 1618 + ], + [ + 4120, + 4366 + ], + [ + 1886, + 8256 + ], + [ + 1509, + 6054 + ], + [ + 1132, + 6104 + ], + [ + 3706, + 9452 + ], + [ + 3060, + 8523 + ], + [ + 8634, + 10867 + ], + [ + 3923, + 10618 + ], + [ + 284, + 7700 + ], + [ + 10894, + 11581 + ], + [ + 4489, + 6276 + ], + [ + 1461, + 5232 + ], + [ + 6997, + 11256 + ], + [ + 1579, + 3009 + ], + [ + 4662, + 7924 + ], + [ + 1391, + 2958 + ], + [ + 1050, + 6829 + ], + [ + 2165, + 6516 + ], + [ + 655, + 9683 + ], + [ + 3780, + 10690 + ], + [ + 7119, + 9906 + ], + [ + 739, + 2214 + ], + [ + 5873, + 11456 + ], + [ + 1050, + 10212 + ], + [ + 4808, + 11132 + ], + [ + 4123, + 11029 + ], + [ + 2817, + 7610 + ], + [ + 1601, + 7871 + ], + [ + 7089, + 11195 + ], + [ + 5621, + 9700 + ], + [ + 6058, + 10455 + ], + [ + 5836, + 11574 + ], + [ + 1824, + 3190 + ], + [ + 2407, + 3016 + ], + [ + 1474, + 5063 + ], + [ + 2964, + 3873 + ], + [ + 8206, + 10928 + ], + [ + 1260, + 10961 + ], + [ + 264, + 6270 + ], + [ + 539, + 11201 + ], + [ + 3190, + 10043 + ], + [ + 10057, + 10683 + ], + [ + 2940, + 9114 + ], + [ + 9468, + 10288 + ], + [ + 7226, + 10153 + ], + [ + 6895, + 10548 + ], + [ + 7638, + 8377 + ], + [ + 8932, + 9527 + ], + [ + 190, + 844 + ], + [ + 5790, + 11579 + ], + [ + 3517, + 9125 + ], + [ + 4482, + 11497 + ], + [ + 8537, + 10129 + ], + [ + 9657, + 10160 + ], + [ + 7835, + 8167 + ], + [ + 7597, + 8753 + ], + [ + 8130, + 11468 + ], + [ + 1150, + 6255 + ], + [ + 7316, + 9265 + ], + [ + 4568, + 10490 + ], + [ + 6008, + 9937 + ], + [ + 1863, + 8379 + ], + [ + 1550, + 10511 + ], + [ + 7799, + 8860 + ], + [ + 2016, + 5588 + ], + [ + 2076, + 5639 + ], + [ + 9636, + 11161 + ], + [ + 3132, + 8129 + ], + [ + 5000, + 10497 + ], + [ + 7116, + 8049 + ], + [ + 2684, + 7215 + ], + [ + 7303, + 7875 + ], + [ + 4397, + 7760 + ], + [ + 233, + 6152 + ], + [ + 3591, + 9582 + ], + [ + 318, + 7953 + ], + [ + 5008, + 6601 + ], + [ + 9436, + 10699 + ], + [ + 8284, + 11130 + ], + [ + 3730, + 9367 + ], + [ + 9839, + 11089 + ], + [ + 4297, + 4496 + ], + [ + 5257, + 6524 + ], + [ + 7531, + 10334 + ], + [ + 8804, + 10607 + ], + [ + 4783, + 10805 + ], + [ + 2044, + 3448 + ], + [ + 6317, + 9887 + ], + [ + 1166, + 2950 + ], + [ + 4692, + 8408 + ], + [ + 8728, + 10770 + ], + [ + 7857, + 11443 + ], + [ + 6485, + 10410 + ], + [ + 8157, + 8702 + ], + [ + 2623, + 8386 + ], + [ + 5075, + 10805 + ], + [ + 572, + 4813 + ], + [ + 2836, + 3017 + ], + [ + 1873, + 11271 + ], + [ + 725, + 9192 + ], + [ + 5176, + 7824 + ], + [ + 2956, + 11420 + ], + [ + 6970, + 10051 + ], + [ + 3391, + 11348 + ], + [ + 6068, + 11411 + ], + [ + 939, + 6677 + ], + [ + 8531, + 10956 + ], + [ + 5093, + 10980 + ], + [ + 5936, + 6007 + ], + [ + 581, + 7908 + ], + [ + 1789, + 7786 + ], + [ + 3783, + 4409 + ], + [ + 3194, + 10430 + ], + [ + 1231, + 9710 + ], + [ + 9642, + 10120 + ], + [ + 2326, + 11374 + ], + [ + 1884, + 3859 + ], + [ + 2820, + 6247 + ], + [ + 4000, + 6329 + ], + [ + 3163, + 5832 + ], + [ + 3440, + 4420 + ], + [ + 2839, + 9680 + ], + [ + 6015, + 11376 + ], + [ + 9690, + 9787 + ], + [ + 2410, + 6534 + ], + [ + 450, + 9495 + ], + [ + 3160, + 5534 + ], + [ + 3712, + 6047 + ], + [ + 9374, + 11244 + ], + [ + 4365, + 11530 + ], + [ + 1091, + 7047 + ], + [ + 2173, + 3588 + ], + [ + 1369, + 8489 + ], + [ + 6, + 8700 + ], + [ + 3106, + 7176 + ], + [ + 5382, + 6895 + ], + [ + 740, + 8695 + ], + [ + 4385, + 11401 + ], + [ + 125, + 3669 + ], + [ + 428, + 1226 + ], + [ + 706, + 9084 + ], + [ + 1707, + 5451 + ], + [ + 1182, + 2597 + ], + [ + 1545, + 6621 + ], + [ + 8575, + 8945 + ], + [ + 3938, + 7679 + ], + [ + 106, + 8530 + ], + [ + 2191, + 10933 + ], + [ + 3159, + 11324 + ], + [ + 5287, + 10391 + ], + [ + 6001, + 9734 + ], + [ + 1796, + 7371 + ], + [ + 1194, + 9023 + ], + [ + 131, + 3110 + ], + [ + 1856, + 5924 + ], + [ + 7288, + 7461 + ], + [ + 297, + 4311 + ], + [ + 2439, + 8002 + ], + [ + 4830, + 5227 + ], + [ + 3085, + 5144 + ], + [ + 5020, + 10986 + ], + [ + 6360, + 6819 + ], + [ + 4056, + 9216 + ], + [ + 7000, + 7179 + ], + [ + 2277, + 3887 + ], + [ + 69, + 8998 + ], + [ + 12, + 8464 + ], + [ + 5764, + 10171 + ], + [ + 3152, + 10503 + ], + [ + 6142, + 8811 + ], + [ + 2584, + 4569 + ], + [ + 8647, + 10110 + ], + [ + 9870, + 11020 + ], + [ + 2711, + 4344 + ], + [ + 2792, + 5272 + ], + [ + 3664, + 5201 + ], + [ + 2712, + 7198 + ], + [ + 501, + 1458 + ], + [ + 3362, + 4082 + ], + [ + 1987, + 9948 + ], + [ + 471, + 9917 + ], + [ + 836, + 1936 + ], + [ + 4999, + 6325 + ], + [ + 2046, + 10528 + ], + [ + 5991, + 10520 + ], + [ + 542, + 708 + ], + [ + 7794, + 8329 + ], + [ + 7551, + 8571 + ], + [ + 2079, + 9887 + ], + [ + 4689, + 8728 + ], + [ + 6174, + 7194 + ], + [ + 4434, + 7455 + ], + [ + 3427, + 4857 + ], + [ + 266, + 1941 + ], + [ + 7452, + 11194 + ], + [ + 1151, + 2105 + ], + [ + 1622, + 8106 + ], + [ + 407, + 11221 + ], + [ + 8220, + 10019 + ], + [ + 1838, + 2254 + ], + [ + 692, + 1002 + ], + [ + 602, + 4492 + ], + [ + 7902, + 8397 + ], + [ + 3805, + 3847 + ], + [ + 5845, + 7261 + ], + [ + 4785, + 7281 + ], + [ + 8713, + 11056 + ], + [ + 3145, + 5494 + ], + [ + 5197, + 9669 + ], + [ + 5135, + 8791 + ], + [ + 9447, + 11051 + ], + [ + 1140, + 3794 + ], + [ + 2208, + 7799 + ], + [ + 5343, + 9494 + ], + [ + 6158, + 8889 + ], + [ + 208, + 781 + ], + [ + 574, + 2070 + ], + [ + 3163, + 6450 + ], + [ + 3909, + 10212 + ], + [ + 7801, + 7914 + ], + [ + 4993, + 8334 + ], + [ + 3250, + 9078 + ], + [ + 6180, + 9587 + ], + [ + 4251, + 7697 + ], + [ + 7725, + 8104 + ], + [ + 2317, + 11125 + ], + [ + 4340, + 10398 + ], + [ + 5398, + 9551 + ], + [ + 3330, + 10535 + ], + [ + 9601, + 11087 + ], + [ + 1595, + 11140 + ], + [ + 5521, + 7672 + ], + [ + 2586, + 6819 + ], + [ + 1368, + 6253 + ], + [ + 2957, + 4288 + ], + [ + 5641, + 6276 + ], + [ + 7217, + 10522 + ], + [ + 7103, + 9454 + ], + [ + 5565, + 7220 + ], + [ + 618, + 4220 + ], + [ + 88, + 1022 + ], + [ + 7278, + 7765 + ], + [ + 177, + 10893 + ], + [ + 7035, + 8007 + ], + [ + 6259, + 8540 + ], + [ + 3477, + 3765 + ], + [ + 4731, + 9623 + ], + [ + 3015, + 8780 + ], + [ + 49, + 8614 + ], + [ + 320, + 6633 + ], + [ + 6395, + 7273 + ], + [ + 1386, + 9811 + ], + [ + 5894, + 8977 + ], + [ + 7175, + 9865 + ], + [ + 322, + 6679 + ], + [ + 193, + 7989 + ], + [ + 6242, + 9660 + ], + [ + 4306, + 6599 + ], + [ + 171, + 9893 + ], + [ + 2652, + 6634 + ], + [ + 4174, + 7611 + ], + [ + 6290, + 10081 + ], + [ + 3456, + 11532 + ], + [ + 5159, + 11389 + ], + [ + 7036, + 7427 + ], + [ + 3211, + 5285 + ], + [ + 5728, + 7345 + ], + [ + 2956, + 10428 + ], + [ + 1767, + 8348 + ], + [ + 2142, + 7471 + ], + [ + 807, + 4068 + ], + [ + 3071, + 8688 + ], + [ + 6281, + 11466 + ], + [ + 607, + 2502 + ], + [ + 5961, + 9798 + ], + [ + 2927, + 8909 + ], + [ + 6005, + 9316 + ], + [ + 3788, + 10177 + ], + [ + 2785, + 11485 + ], + [ + 8516, + 11561 + ], + [ + 3098, + 3314 + ], + [ + 264, + 8929 + ], + [ + 7767, + 9753 + ], + [ + 2282, + 3694 + ], + [ + 893, + 5690 + ], + [ + 8021, + 10801 + ], + [ + 3868, + 9382 + ], + [ + 2697, + 6353 + ], + [ + 6957, + 7669 + ], + [ + 846, + 5120 + ], + [ + 5515, + 11559 + ], + [ + 1917, + 8642 + ], + [ + 1007, + 5977 + ], + [ + 284, + 9554 + ], + [ + 1848, + 4341 + ], + [ + 4582, + 4938 + ], + [ + 3054, + 9808 + ], + [ + 2092, + 6953 + ], + [ + 5201, + 7427 + ], + [ + 8559, + 10857 + ], + [ + 4328, + 7273 + ], + [ + 1463, + 7913 + ], + [ + 5702, + 8352 + ], + [ + 2808, + 4090 + ], + [ + 129, + 2446 + ], + [ + 3298, + 9387 + ], + [ + 7097, + 10308 + ], + [ + 2608, + 8940 + ], + [ + 3358, + 3776 + ], + [ + 3289, + 5891 + ], + [ + 954, + 8975 + ], + [ + 4440, + 5235 + ], + [ + 501, + 7687 + ], + [ + 9771, + 10073 + ], + [ + 243, + 1235 + ], + [ + 5540, + 7243 + ], + [ + 1180, + 7975 + ], + [ + 7737, + 10641 + ], + [ + 3698, + 7227 + ], + [ + 5594, + 7479 + ], + [ + 1736, + 9361 + ], + [ + 2913, + 3510 + ], + [ + 5839, + 10693 + ], + [ + 4994, + 8423 + ], + [ + 5154, + 10590 + ], + [ + 1283, + 1687 + ], + [ + 3877, + 6411 + ], + [ + 601, + 7517 + ], + [ + 11, + 4268 + ], + [ + 642, + 7518 + ], + [ + 4561, + 7043 + ], + [ + 2128, + 2422 + ], + [ + 536, + 9751 + ], + [ + 694, + 11091 + ], + [ + 9165, + 11552 + ], + [ + 695, + 1113 + ], + [ + 7449, + 10709 + ], + [ + 4951, + 5693 + ], + [ + 6886, + 11535 + ], + [ + 936, + 9843 + ], + [ + 7035, + 8625 + ], + [ + 2773, + 6482 + ], + [ + 6278, + 6956 + ], + [ + 4201, + 4414 + ], + [ + 9485, + 10217 + ], + [ + 498, + 7365 + ], + [ + 456, + 7139 + ], + [ + 10822, + 11414 + ], + [ + 1832, + 4881 + ], + [ + 402, + 11040 + ], + [ + 796, + 10213 + ], + [ + 8234, + 9888 + ], + [ + 305, + 6943 + ], + [ + 1852, + 6287 + ], + [ + 3810, + 7417 + ], + [ + 484, + 1990 + ], + [ + 2385, + 9002 + ], + [ + 3040, + 10394 + ], + [ + 2001, + 3377 + ], + [ + 393, + 6009 + ], + [ + 5365, + 10005 + ], + [ + 65, + 2945 + ], + [ + 1445, + 7976 + ], + [ + 7104, + 8738 + ], + [ + 2954, + 11000 + ], + [ + 5075, + 7398 + ], + [ + 9092, + 9710 + ], + [ + 2617, + 5164 + ], + [ + 9401, + 10465 + ], + [ + 8391, + 10602 + ], + [ + 1087, + 6955 + ], + [ + 434, + 11271 + ], + [ + 3445, + 10456 + ], + [ + 2175, + 7448 + ], + [ + 1889, + 11026 + ], + [ + 1046, + 10337 + ], + [ + 8551, + 11234 + ], + [ + 4096, + 8696 + ], + [ + 677, + 7996 + ], + [ + 5095, + 10652 + ], + [ + 7485, + 11439 + ], + [ + 9947, + 10382 + ], + [ + 5594, + 5869 + ], + [ + 4992, + 7521 + ], + [ + 5442, + 8481 + ], + [ + 3651, + 5047 + ], + [ + 1070, + 5446 + ], + [ + 5397, + 8738 + ], + [ + 2066, + 2967 + ], + [ + 295, + 8833 + ], + [ + 8467, + 8503 + ], + [ + 1787, + 6935 + ], + [ + 789, + 8587 + ], + [ + 2067, + 9958 + ], + [ + 3772, + 10642 + ], + [ + 6543, + 9586 + ], + [ + 1963, + 8854 + ], + [ + 4451, + 6012 + ], + [ + 2959, + 4123 + ], + [ + 378, + 4522 + ], + [ + 1370, + 4553 + ], + [ + 4136, + 8071 + ], + [ + 24, + 2489 + ], + [ + 19, + 2145 + ], + [ + 2021, + 9209 + ], + [ + 5275, + 5900 + ], + [ + 3203, + 3702 + ], + [ + 2854, + 3548 + ], + [ + 560, + 2469 + ], + [ + 7344, + 8524 + ], + [ + 2055, + 2377 + ], + [ + 3194, + 5868 + ], + [ + 6344, + 8595 + ], + [ + 3438, + 6228 + ], + [ + 2080, + 9789 + ], + [ + 7216, + 9278 + ], + [ + 3384, + 10129 + ], + [ + 2919, + 7326 + ], + [ + 3227, + 5227 + ], + [ + 8017, + 10495 + ], + [ + 2002, + 7654 + ], + [ + 2050, + 4662 + ], + [ + 3532, + 9246 + ], + [ + 16, + 8613 + ], + [ + 1940, + 7126 + ], + [ + 5608, + 11536 + ], + [ + 2494, + 8466 + ], + [ + 350, + 4702 + ], + [ + 4266, + 6208 + ], + [ + 1501, + 4046 + ], + [ + 6824, + 11275 + ], + [ + 3108, + 9857 + ], + [ + 2187, + 7003 + ], + [ + 905, + 2480 + ], + [ + 2333, + 6828 + ], + [ + 4884, + 8472 + ], + [ + 555, + 4353 + ], + [ + 9297, + 10784 + ], + [ + 1057, + 5503 + ], + [ + 1559, + 10817 + ], + [ + 6750, + 10013 + ], + [ + 1141, + 2198 + ], + [ + 578, + 9440 + ], + [ + 247, + 3419 + ], + [ + 2206, + 11567 + ], + [ + 358, + 10605 + ], + [ + 1139, + 11170 + ], + [ + 2975, + 4201 + ], + [ + 798, + 10877 + ], + [ + 547, + 678 + ], + [ + 8774, + 11359 + ], + [ + 5215, + 7646 + ], + [ + 4375, + 9884 + ], + [ + 6794, + 11409 + ], + [ + 5392, + 6030 + ], + [ + 4146, + 9832 + ], + [ + 8604, + 10389 + ], + [ + 4464, + 9175 + ], + [ + 5448, + 9345 + ], + [ + 919, + 9302 + ], + [ + 6609, + 9377 + ], + [ + 9788, + 10590 + ], + [ + 1029, + 6464 + ], + [ + 662, + 11366 + ], + [ + 7448, + 7668 + ], + [ + 10720, + 11324 + ], + [ + 5849, + 6656 + ], + [ + 1217, + 9898 + ], + [ + 6944, + 9074 + ], + [ + 5039, + 10988 + ], + [ + 130, + 5062 + ], + [ + 3289, + 11315 + ], + [ + 1054, + 5181 + ], + [ + 6338, + 6820 + ], + [ + 1711, + 3236 + ], + [ + 1143, + 4472 + ], + [ + 6693, + 8674 + ], + [ + 3321, + 7066 + ], + [ + 2354, + 3867 + ], + [ + 4139, + 5978 + ], + [ + 3103, + 11310 + ], + [ + 5247, + 8658 + ], + [ + 2377, + 2538 + ], + [ + 4191, + 9551 + ], + [ + 4002, + 7400 + ], + [ + 3039, + 10736 + ], + [ + 2685, + 6074 + ], + [ + 9849, + 10842 + ], + [ + 2504, + 7194 + ], + [ + 43, + 5443 + ], + [ + 4117, + 10541 + ], + [ + 1806, + 5351 + ], + [ + 9104, + 9907 + ], + [ + 5701, + 6734 + ], + [ + 6721, + 9567 + ], + [ + 7629, + 11405 + ], + [ + 5239, + 8366 + ], + [ + 1156, + 7686 + ], + [ + 6419, + 8448 + ], + [ + 727, + 5294 + ], + [ + 4199, + 9792 + ], + [ + 2766, + 5100 + ], + [ + 7991, + 9542 + ], + [ + 3992, + 5527 + ], + [ + 3973, + 7005 + ], + [ + 1017, + 1111 + ], + [ + 2864, + 11270 + ], + [ + 3172, + 9171 + ], + [ + 767, + 936 + ], + [ + 3227, + 8878 + ], + [ + 1523, + 3134 + ], + [ + 11324, + 11572 + ], + [ + 7621, + 11113 + ], + [ + 1943, + 11075 + ], + [ + 4658, + 8212 + ], + [ + 4009, + 10018 + ], + [ + 2605, + 3812 + ], + [ + 6705, + 7879 + ], + [ + 332, + 1358 + ], + [ + 1510, + 11193 + ], + [ + 1950, + 5049 + ], + [ + 9, + 8060 + ], + [ + 3529, + 9566 + ], + [ + 7261, + 9265 + ], + [ + 2322, + 10290 + ], + [ + 633, + 1471 + ], + [ + 2785, + 5850 + ], + [ + 6362, + 7890 + ], + [ + 6455, + 10333 + ], + [ + 4398, + 9197 + ], + [ + 6110, + 6888 + ], + [ + 74, + 9586 + ], + [ + 4178, + 4727 + ], + [ + 3398, + 7770 + ], + [ + 4363, + 10142 + ], + [ + 8439, + 9651 + ], + [ + 1402, + 10320 + ], + [ + 1524, + 4833 + ], + [ + 2582, + 8150 + ], + [ + 4, + 8066 + ], + [ + 6439, + 9049 + ], + [ + 2669, + 6614 + ], + [ + 2607, + 9900 + ], + [ + 8832, + 9353 + ], + [ + 2051, + 7733 + ], + [ + 4329, + 8279 + ], + [ + 5170, + 8895 + ], + [ + 4169, + 10276 + ], + [ + 2326, + 3242 + ], + [ + 8862, + 11447 + ], + [ + 1947, + 4377 + ], + [ + 8212, + 10776 + ], + [ + 3876, + 5486 + ], + [ + 4344, + 5554 + ], + [ + 5587, + 10122 + ], + [ + 1110, + 10269 + ], + [ + 8453, + 10838 + ], + [ + 6240, + 9189 + ], + [ + 4648, + 5184 + ], + [ + 5950, + 11113 + ], + [ + 71, + 1717 + ], + [ + 9747, + 11207 + ], + [ + 3334, + 6041 + ], + [ + 7793, + 10950 + ], + [ + 4264, + 5194 + ], + [ + 6719, + 7130 + ], + [ + 4955, + 6997 + ], + [ + 719, + 10239 + ], + [ + 8962, + 10873 + ], + [ + 6285, + 10810 + ], + [ + 8091, + 11546 + ], + [ + 3172, + 4178 + ], + [ + 3230, + 8320 + ], + [ + 3455, + 10882 + ], + [ + 399, + 7036 + ], + [ + 2011, + 7529 + ], + [ + 1171, + 9767 + ], + [ + 2953, + 8951 + ], + [ + 765, + 2663 + ], + [ + 4314, + 4907 + ], + [ + 4092, + 6780 + ], + [ + 2199, + 10209 + ], + [ + 7263, + 7378 + ], + [ + 9795, + 11224 + ], + [ + 6643, + 8424 + ], + [ + 2415, + 9275 + ], + [ + 6649, + 9370 + ], + [ + 5995, + 10832 + ], + [ + 3409, + 3717 + ], + [ + 6182, + 10658 + ], + [ + 1663, + 4163 + ], + [ + 314, + 11250 + ], + [ + 2340, + 3624 + ], + [ + 4394, + 10878 + ], + [ + 1217, + 9711 + ], + [ + 4948, + 11437 + ], + [ + 3606, + 6109 + ], + [ + 1307, + 5440 + ], + [ + 9987, + 10993 + ], + [ + 3362, + 9132 + ], + [ + 4377, + 5205 + ], + [ + 8807, + 9376 + ], + [ + 2422, + 8510 + ], + [ + 2330, + 8921 + ], + [ + 4384, + 9759 + ], + [ + 5442, + 8912 + ], + [ + 2199, + 2988 + ], + [ + 2311, + 3983 + ], + [ + 7642, + 8821 + ], + [ + 2100, + 9398 + ], + [ + 507, + 6703 + ], + [ + 4334, + 8891 + ], + [ + 4643, + 9646 + ], + [ + 5357, + 8989 + ], + [ + 8476, + 10151 + ], + [ + 4426, + 5447 + ], + [ + 30, + 4270 + ], + [ + 1533, + 9701 + ], + [ + 4800, + 5099 + ], + [ + 2124, + 7890 + ], + [ + 7215, + 9134 + ], + [ + 2459, + 9866 + ], + [ + 1732, + 9537 + ], + [ + 772, + 1093 + ], + [ + 7189, + 11296 + ], + [ + 5434, + 10525 + ], + [ + 1673, + 2891 + ], + [ + 8324, + 8602 + ], + [ + 7553, + 9479 + ], + [ + 3084, + 8763 + ], + [ + 565, + 10040 + ], + [ + 9508, + 9557 + ], + [ + 1282, + 8146 + ], + [ + 5014, + 7845 + ], + [ + 5640, + 10751 + ], + [ + 5860, + 6553 + ], + [ + 590, + 4620 + ], + [ + 171, + 9332 + ], + [ + 1343, + 3137 + ], + [ + 902, + 5646 + ], + [ + 7099, + 7215 + ], + [ + 2835, + 8409 + ], + [ + 4146, + 5002 + ], + [ + 3740, + 4314 + ], + [ + 2267, + 8891 + ], + [ + 1837, + 3645 + ], + [ + 5386, + 10053 + ], + [ + 3330, + 6136 + ], + [ + 3794, + 10966 + ], + [ + 1707, + 7736 + ], + [ + 10268, + 11123 + ], + [ + 301, + 703 + ], + [ + 7315, + 8910 + ], + [ + 2864, + 3862 + ], + [ + 9486, + 11087 + ], + [ + 4782, + 7845 + ], + [ + 3839, + 6952 + ], + [ + 828, + 1351 + ], + [ + 8895, + 9865 + ], + [ + 144, + 10518 + ], + [ + 4440, + 5829 + ], + [ + 4288, + 7687 + ], + [ + 769, + 9789 + ], + [ + 9126, + 9239 + ], + [ + 1471, + 11027 + ], + [ + 5552, + 10880 + ], + [ + 3899, + 3970 + ], + [ + 2343, + 6792 + ], + [ + 5990, + 8073 + ], + [ + 8132, + 11010 + ], + [ + 1126, + 6828 + ], + [ + 6549, + 9757 + ], + [ + 6567, + 10336 + ], + [ + 1064, + 9333 + ], + [ + 1246, + 8815 + ], + [ + 9988, + 11082 + ], + [ + 659, + 5083 + ], + [ + 6070, + 6497 + ], + [ + 5503, + 9833 + ], + [ + 4541, + 11142 + ], + [ + 4577, + 6635 + ], + [ + 2865, + 3282 + ], + [ + 1141, + 8240 + ], + [ + 3355, + 6327 + ], + [ + 1731, + 5073 + ], + [ + 2039, + 2974 + ], + [ + 9177, + 9527 + ], + [ + 736, + 3990 + ], + [ + 204, + 6381 + ], + [ + 6439, + 11440 + ], + [ + 7112, + 10028 + ], + [ + 8765, + 10522 + ], + [ + 4375, + 6127 + ], + [ + 7551, + 7823 + ], + [ + 5457, + 9838 + ], + [ + 10436, + 10841 + ], + [ + 476, + 1592 + ], + [ + 9753, + 11565 + ], + [ + 8352, + 11292 + ], + [ + 3660, + 7313 + ], + [ + 5091, + 11178 + ], + [ + 1169, + 9857 + ], + [ + 5424, + 10829 + ], + [ + 4961, + 9607 + ], + [ + 4114, + 4258 + ], + [ + 5167, + 6477 + ], + [ + 2372, + 7856 + ], + [ + 9712, + 11160 + ], + [ + 3614, + 7318 + ], + [ + 2898, + 7902 + ], + [ + 64, + 7101 + ], + [ + 2829, + 2847 + ], + [ + 1141, + 10468 + ], + [ + 8501, + 8732 + ], + [ + 6192, + 6621 + ], + [ + 2331, + 8986 + ], + [ + 6818, + 10281 + ], + [ + 9891, + 10344 + ], + [ + 362, + 9949 + ], + [ + 864, + 11099 + ], + [ + 2423, + 5542 + ], + [ + 5315, + 9731 + ], + [ + 119, + 3775 + ], + [ + 872, + 8708 + ], + [ + 2971, + 8565 + ], + [ + 1075, + 2651 + ], + [ + 3819, + 3936 + ], + [ + 2002, + 2287 + ], + [ + 4891, + 10342 + ], + [ + 9414, + 11294 + ], + [ + 823, + 10694 + ], + [ + 534, + 4175 + ], + [ + 6349, + 10368 + ], + [ + 4926, + 6364 + ], + [ + 3210, + 11183 + ], + [ + 287, + 1265 + ], + [ + 2585, + 11131 + ], + [ + 560, + 2363 + ], + [ + 3997, + 9284 + ], + [ + 182, + 7106 + ], + [ + 875, + 11234 + ], + [ + 2463, + 7169 + ], + [ + 4827, + 8987 + ], + [ + 1023, + 7722 + ], + [ + 5412, + 5476 + ], + [ + 405, + 2425 + ], + [ + 1277, + 8770 + ], + [ + 3756, + 8848 + ], + [ + 7740, + 8768 + ], + [ + 1176, + 4931 + ], + [ + 6750, + 8029 + ], + [ + 4470, + 10820 + ], + [ + 5774, + 6996 + ], + [ + 6079, + 11015 + ], + [ + 1886, + 3751 + ], + [ + 2543, + 2560 + ], + [ + 2885, + 5707 + ], + [ + 506, + 2857 + ], + [ + 4839, + 9347 + ], + [ + 9570, + 10248 + ], + [ + 231, + 3561 + ], + [ + 7505, + 11503 + ], + [ + 10122, + 11515 + ], + [ + 1913, + 5547 + ], + [ + 4637, + 5456 + ], + [ + 1557, + 3468 + ], + [ + 1688, + 7149 + ], + [ + 3399, + 6867 + ], + [ + 1711, + 7318 + ], + [ + 3244, + 3546 + ], + [ + 123, + 5721 + ], + [ + 3429, + 8961 + ], + [ + 5535, + 9989 + ], + [ + 435, + 10911 + ], + [ + 4540, + 11158 + ], + [ + 6942, + 7044 + ], + [ + 932, + 4547 + ], + [ + 6912, + 10585 + ], + [ + 2671, + 7067 + ], + [ + 1802, + 4403 + ], + [ + 5747, + 10811 + ], + [ + 4664, + 9881 + ], + [ + 546, + 3730 + ], + [ + 4407, + 6283 + ], + [ + 4372, + 9480 + ], + [ + 1977, + 6097 + ], + [ + 2761, + 6179 + ], + [ + 3413, + 8054 + ], + [ + 2759, + 3100 + ], + [ + 2977, + 10907 + ], + [ + 8610, + 10448 + ], + [ + 1566, + 9946 + ], + [ + 1160, + 9258 + ], + [ + 2292, + 4388 + ], + [ + 5272, + 8424 + ], + [ + 3522, + 7997 + ], + [ + 5244, + 6376 + ], + [ + 10526, + 11352 + ], + [ + 7355, + 7748 + ], + [ + 2291, + 10579 + ], + [ + 3031, + 4727 + ], + [ + 6356, + 11427 + ], + [ + 2903, + 5481 + ], + [ + 4792, + 7972 + ], + [ + 2273, + 9249 + ], + [ + 7536, + 10011 + ], + [ + 31, + 8360 + ], + [ + 7637, + 10063 + ], + [ + 5, + 723 + ], + [ + 7881, + 10423 + ], + [ + 1088, + 7288 + ], + [ + 2335, + 9346 + ], + [ + 4885, + 7382 + ], + [ + 1748, + 9778 + ], + [ + 8090, + 8318 + ], + [ + 7441, + 10124 + ], + [ + 3, + 3279 + ], + [ + 2360, + 3926 + ], + [ + 493, + 2914 + ], + [ + 3571, + 4075 + ], + [ + 2894, + 7997 + ], + [ + 6039, + 10380 + ], + [ + 6712, + 6716 + ], + [ + 5595, + 6202 + ], + [ + 4385, + 9661 + ], + [ + 1169, + 9320 + ], + [ + 3817, + 4481 + ], + [ + 7017, + 10735 + ], + [ + 5905, + 10565 + ], + [ + 9509, + 11018 + ], + [ + 1388, + 4897 + ], + [ + 2071, + 4173 + ], + [ + 3893, + 6196 + ], + [ + 5804, + 6726 + ], + [ + 1509, + 6355 + ], + [ + 8751, + 9124 + ], + [ + 3494, + 11560 + ], + [ + 5263, + 9785 + ], + [ + 9810, + 11131 + ], + [ + 4889, + 7100 + ], + [ + 1752, + 9496 + ], + [ + 2686, + 10303 + ], + [ + 6939, + 11202 + ], + [ + 9316, + 10973 + ], + [ + 7585, + 8344 + ], + [ + 2734, + 5806 + ], + [ + 6524, + 8893 + ], + [ + 5777, + 7912 + ], + [ + 830, + 11328 + ], + [ + 5899, + 9595 + ], + [ + 6556, + 7650 + ], + [ + 7065, + 9971 + ], + [ + 3639, + 11510 + ], + [ + 4319, + 4853 + ], + [ + 2603, + 10426 + ], + [ + 2890, + 9702 + ], + [ + 798, + 6128 + ], + [ + 2444, + 3199 + ], + [ + 8080, + 8673 + ], + [ + 8264, + 11234 + ], + [ + 2321, + 10713 + ], + [ + 3868, + 10057 + ], + [ + 4742, + 6649 + ], + [ + 5679, + 7727 + ], + [ + 9251, + 9423 + ], + [ + 3346, + 5222 + ], + [ + 3566, + 9692 + ], + [ + 3748, + 8420 + ], + [ + 4703, + 10858 + ], + [ + 3285, + 7198 + ], + [ + 5514, + 6347 + ], + [ + 8623, + 9073 + ], + [ + 1940, + 7988 + ], + [ + 5008, + 7707 + ], + [ + 1123, + 7766 + ], + [ + 281, + 1263 + ], + [ + 1153, + 3444 + ], + [ + 336, + 970 + ], + [ + 3152, + 10991 + ], + [ + 3637, + 3866 + ], + [ + 4474, + 11156 + ], + [ + 1186, + 2803 + ], + [ + 10263, + 11210 + ], + [ + 4041, + 11274 + ], + [ + 7211, + 8237 + ], + [ + 5648, + 8390 + ], + [ + 3246, + 9498 + ], + [ + 1945, + 7177 + ], + [ + 10217, + 11215 + ], + [ + 1946, + 4369 + ], + [ + 5404, + 11413 + ], + [ + 6550, + 9659 + ], + [ + 5588, + 6804 + ], + [ + 9222, + 10132 + ], + [ + 315, + 8737 + ], + [ + 2622, + 10021 + ], + [ + 3359, + 3898 + ], + [ + 8718, + 11538 + ], + [ + 4217, + 6373 + ], + [ + 532, + 858 + ], + [ + 8716, + 10711 + ], + [ + 690, + 7860 + ], + [ + 8497, + 9095 + ], + [ + 756, + 5447 + ], + [ + 9710, + 10071 + ], + [ + 2748, + 5407 + ], + [ + 346, + 7269 + ], + [ + 5788, + 10248 + ], + [ + 2180, + 5889 + ], + [ + 6039, + 7615 + ], + [ + 1868, + 2584 + ], + [ + 5663, + 8267 + ], + [ + 5030, + 8354 + ], + [ + 1606, + 6556 + ], + [ + 4886, + 8575 + ], + [ + 1180, + 1429 + ], + [ + 1075, + 3887 + ], + [ + 651, + 8255 + ], + [ + 4691, + 5855 + ], + [ + 6621, + 10599 + ], + [ + 2347, + 6941 + ], + [ + 3663, + 3878 + ], + [ + 2598, + 10724 + ], + [ + 6457, + 9444 + ], + [ + 7678, + 10281 + ], + [ + 8134, + 10332 + ], + [ + 5901, + 10660 + ], + [ + 8348, + 8571 + ], + [ + 5371, + 8216 + ], + [ + 2586, + 3924 + ], + [ + 7076, + 8146 + ], + [ + 8629, + 11442 + ], + [ + 40, + 6007 + ], + [ + 9158, + 10251 + ], + [ + 5519, + 11497 + ], + [ + 8069, + 10287 + ], + [ + 7413, + 10922 + ], + [ + 6, + 9806 + ], + [ + 8564, + 10266 + ], + [ + 8222, + 9748 + ], + [ + 332, + 1870 + ], + [ + 3177, + 10377 + ], + [ + 3571, + 10304 + ], + [ + 4010, + 4716 + ], + [ + 799, + 10381 + ], + [ + 9013, + 10277 + ], + [ + 1807, + 10171 + ], + [ + 773, + 4996 + ], + [ + 3761, + 7395 + ], + [ + 2472, + 11500 + ], + [ + 5832, + 8587 + ], + [ + 4651, + 11286 + ], + [ + 6201, + 10147 + ], + [ + 4329, + 8791 + ], + [ + 6419, + 11538 + ], + [ + 4575, + 5814 + ], + [ + 10343, + 11407 + ], + [ + 932, + 2400 + ], + [ + 5603, + 6256 + ], + [ + 2647, + 6778 + ], + [ + 2588, + 9581 + ], + [ + 9059, + 10221 + ], + [ + 6106, + 10260 + ], + [ + 230, + 10961 + ], + [ + 1614, + 2205 + ], + [ + 7153, + 8500 + ], + [ + 8381, + 9754 + ], + [ + 1750, + 5449 + ], + [ + 4140, + 6236 + ], + [ + 4790, + 9536 + ], + [ + 4230, + 8381 + ], + [ + 1321, + 2333 + ], + [ + 7585, + 11540 + ], + [ + 364, + 3986 + ], + [ + 6872, + 9389 + ], + [ + 8174, + 8902 + ], + [ + 2849, + 7262 + ], + [ + 5875, + 7479 + ], + [ + 2514, + 10167 + ], + [ + 479, + 711 + ], + [ + 8293, + 9533 + ], + [ + 46, + 7245 + ], + [ + 7926, + 8019 + ], + [ + 1732, + 3715 + ], + [ + 2501, + 2765 + ], + [ + 4494, + 5579 + ], + [ + 2063, + 2539 + ], + [ + 3081, + 8709 + ], + [ + 724, + 1646 + ], + [ + 11236, + 11408 + ], + [ + 4455, + 9788 + ], + [ + 2650, + 3238 + ], + [ + 6909, + 11499 + ], + [ + 3387, + 9166 + ], + [ + 7972, + 10996 + ], + [ + 522, + 9052 + ], + [ + 472, + 3273 + ], + [ + 3886, + 4383 + ], + [ + 2141, + 4300 + ], + [ + 2361, + 6518 + ], + [ + 5232, + 9830 + ], + [ + 1211, + 10028 + ], + [ + 4326, + 7284 + ], + [ + 9135, + 10350 + ], + [ + 6082, + 10939 + ], + [ + 3313, + 11287 + ], + [ + 5142, + 9563 + ], + [ + 4094, + 4682 + ], + [ + 9006, + 10879 + ], + [ + 162, + 4171 + ], + [ + 1760, + 4958 + ], + [ + 982, + 4664 + ], + [ + 484, + 10049 + ], + [ + 6570, + 10878 + ], + [ + 288, + 6727 + ], + [ + 7509, + 7865 + ], + [ + 718, + 5557 + ], + [ + 3674, + 5035 + ], + [ + 4670, + 7474 + ], + [ + 4619, + 10138 + ], + [ + 1526, + 1529 + ], + [ + 1677, + 8114 + ], + [ + 3955, + 4496 + ], + [ + 1830, + 9110 + ], + [ + 351, + 1010 + ], + [ + 3016, + 10138 + ], + [ + 4224, + 5852 + ], + [ + 1634, + 2001 + ], + [ + 3925, + 9168 + ], + [ + 1451, + 3048 + ], + [ + 2259, + 7688 + ], + [ + 2644, + 7499 + ], + [ + 2639, + 7155 + ], + [ + 1414, + 3166 + ], + [ + 1195, + 1550 + ], + [ + 9942, + 11331 + ], + [ + 5721, + 8435 + ], + [ + 1447, + 2525 + ], + [ + 1202, + 8356 + ], + [ + 7769, + 9458 + ], + [ + 1472, + 3521 + ], + [ + 721, + 11466 + ], + [ + 3619, + 10939 + ], + [ + 4395, + 4744 + ], + [ + 5107, + 8922 + ], + [ + 7163, + 10587 + ], + [ + 1153, + 4680 + ], + [ + 5110, + 6187 + ], + [ + 3429, + 4399 + ], + [ + 8043, + 11131 + ], + [ + 215, + 4131 + ], + [ + 9528, + 9597 + ], + [ + 8026, + 9272 + ], + [ + 5421, + 10775 + ], + [ + 404, + 620 + ], + [ + 4078, + 5976 + ], + [ + 6559, + 8379 + ], + [ + 5196, + 9344 + ], + [ + 4440, + 10529 + ], + [ + 5107, + 9272 + ], + [ + 364, + 4604 + ], + [ + 3225, + 7228 + ], + [ + 2354, + 10153 + ], + [ + 2812, + 7998 + ], + [ + 6189, + 9950 + ], + [ + 79, + 10255 + ], + [ + 2290, + 9579 + ], + [ + 3712, + 9194 + ], + [ + 4247, + 6320 + ], + [ + 888, + 9835 + ], + [ + 690, + 2680 + ], + [ + 2594, + 6957 + ], + [ + 1508, + 2346 + ], + [ + 9221, + 10362 + ], + [ + 415, + 10554 + ], + [ + 8973, + 10260 + ], + [ + 5893, + 9026 + ], + [ + 845, + 10138 + ], + [ + 2048, + 5508 + ], + [ + 809, + 4065 + ], + [ + 55, + 5323 + ], + [ + 3549, + 7860 + ], + [ + 3308, + 5519 + ], + [ + 1933, + 10631 + ], + [ + 3397, + 8220 + ], + [ + 2903, + 7685 + ], + [ + 864, + 7155 + ], + [ + 8594, + 10614 + ], + [ + 750, + 10251 + ], + [ + 5294, + 11326 + ], + [ + 5777, + 7538 + ], + [ + 8309, + 11384 + ], + [ + 2454, + 6546 + ], + [ + 1301, + 4123 + ], + [ + 6557, + 10130 + ], + [ + 7278, + 10644 + ], + [ + 2976, + 8348 + ], + [ + 1983, + 10344 + ], + [ + 3253, + 6936 + ], + [ + 2136, + 11340 + ], + [ + 6207, + 10505 + ], + [ + 54, + 2038 + ], + [ + 3106, + 7640 + ], + [ + 3068, + 4904 + ], + [ + 3379, + 9492 + ], + [ + 2627, + 7413 + ], + [ + 6892, + 7575 + ], + [ + 6417, + 10500 + ], + [ + 5396, + 10448 + ], + [ + 3142, + 6546 + ], + [ + 5328, + 9001 + ], + [ + 4827, + 11459 + ], + [ + 5799, + 8586 + ], + [ + 278, + 2870 + ], + [ + 717, + 3671 + ], + [ + 7972, + 10809 + ], + [ + 3547, + 4730 + ], + [ + 6967, + 8284 + ], + [ + 8035, + 8125 + ], + [ + 1421, + 11371 + ], + [ + 4043, + 7563 + ], + [ + 8365, + 10511 + ], + [ + 3200, + 3868 + ], + [ + 1486, + 5350 + ], + [ + 247, + 3907 + ], + [ + 464, + 2444 + ], + [ + 6369, + 6645 + ], + [ + 2822, + 10109 + ], + [ + 3939, + 4207 + ], + [ + 1454, + 10730 + ], + [ + 5628, + 6610 + ], + [ + 893, + 1803 + ], + [ + 5306, + 10531 + ], + [ + 332, + 3456 + ], + [ + 7270, + 8443 + ], + [ + 1418, + 8040 + ], + [ + 4429, + 7225 + ], + [ + 2352, + 8847 + ], + [ + 573, + 3518 + ], + [ + 6711, + 10142 + ], + [ + 1092, + 8055 + ], + [ + 9440, + 11149 + ], + [ + 3552, + 10335 + ], + [ + 4856, + 5757 + ], + [ + 3679, + 5192 + ], + [ + 3001, + 6260 + ], + [ + 8226, + 10702 + ], + [ + 1877, + 8739 + ], + [ + 884, + 10735 + ], + [ + 3804, + 4140 + ], + [ + 528, + 9410 + ], + [ + 2804, + 9129 + ], + [ + 8057, + 9203 + ], + [ + 1222, + 10730 + ], + [ + 3512, + 3739 + ], + [ + 3171, + 7610 + ], + [ + 9641, + 10277 + ], + [ + 6028, + 6328 + ], + [ + 1298, + 8281 + ], + [ + 9300, + 9984 + ], + [ + 7901, + 11292 + ], + [ + 2648, + 4802 + ], + [ + 6343, + 11035 + ], + [ + 3970, + 11383 + ], + [ + 3593, + 9181 + ], + [ + 1829, + 11300 + ], + [ + 4556, + 5064 + ], + [ + 6030, + 9757 + ], + [ + 1753, + 5828 + ], + [ + 3776, + 5101 + ], + [ + 502, + 618 + ], + [ + 5613, + 10408 + ], + [ + 6610, + 9285 + ], + [ + 3112, + 9258 + ], + [ + 2284, + 2431 + ], + [ + 413, + 3929 + ], + [ + 98, + 9021 + ], + [ + 4019, + 5209 + ], + [ + 7718, + 8932 + ], + [ + 2993, + 11229 + ], + [ + 899, + 10992 + ], + [ + 4739, + 7750 + ], + [ + 6193, + 6903 + ], + [ + 4663, + 8694 + ], + [ + 4252, + 6908 + ], + [ + 4690, + 6353 + ], + [ + 5469, + 10255 + ], + [ + 10042, + 10570 + ], + [ + 5136, + 7571 + ], + [ + 2724, + 8745 + ], + [ + 7149, + 8408 + ], + [ + 1643, + 8642 + ], + [ + 3322, + 10357 + ], + [ + 3038, + 4182 + ], + [ + 4810, + 8340 + ], + [ + 3595, + 11455 + ], + [ + 2291, + 2447 + ], + [ + 2387, + 9325 + ], + [ + 9551, + 9929 + ], + [ + 236, + 8554 + ], + [ + 6765, + 8418 + ], + [ + 1725, + 9391 + ], + [ + 2682, + 5486 + ], + [ + 4249, + 6960 + ], + [ + 264, + 6815 + ], + [ + 9006, + 9082 + ], + [ + 919, + 4797 + ], + [ + 2470, + 11430 + ], + [ + 6661, + 10697 + ], + [ + 7093, + 11108 + ], + [ + 69, + 3314 + ], + [ + 965, + 10053 + ], + [ + 67, + 2487 + ], + [ + 5139, + 10851 + ], + [ + 3334, + 10717 + ], + [ + 2706, + 6230 + ], + [ + 686, + 9140 + ], + [ + 9094, + 11531 + ], + [ + 4798, + 10558 + ], + [ + 2798, + 9202 + ], + [ + 8149, + 9811 + ], + [ + 3326, + 9321 + ], + [ + 236, + 7399 + ], + [ + 1211, + 4043 + ], + [ + 5743, + 8521 + ], + [ + 2485, + 7924 + ], + [ + 5403, + 11082 + ], + [ + 8672, + 8805 + ], + [ + 2046, + 4844 + ], + [ + 5678, + 6591 + ], + [ + 4165, + 10241 + ], + [ + 1073, + 1076 + ], + [ + 10029, + 11408 + ], + [ + 1013, + 4408 + ], + [ + 1190, + 5044 + ], + [ + 3117, + 11025 + ], + [ + 3593, + 10954 + ], + [ + 350, + 1620 + ], + [ + 792, + 1965 + ], + [ + 7698, + 8949 + ], + [ + 310, + 8637 + ], + [ + 538, + 10716 + ], + [ + 6608, + 11012 + ], + [ + 3363, + 11431 + ], + [ + 526, + 2785 + ], + [ + 6040, + 11494 + ], + [ + 2272, + 5722 + ], + [ + 4493, + 5734 + ], + [ + 2867, + 7063 + ], + [ + 1466, + 7544 + ], + [ + 2985, + 11256 + ], + [ + 6660, + 10421 + ], + [ + 368, + 4828 + ], + [ + 1766, + 11219 + ], + [ + 1735, + 8900 + ], + [ + 1556, + 7437 + ], + [ + 5943, + 10780 + ], + [ + 2488, + 7417 + ], + [ + 6875, + 9262 + ], + [ + 3628, + 8854 + ], + [ + 603, + 11491 + ], + [ + 2786, + 10265 + ], + [ + 3065, + 3264 + ], + [ + 114, + 1878 + ], + [ + 487, + 7344 + ], + [ + 51, + 7191 + ], + [ + 7076, + 11423 + ], + [ + 1011, + 5809 + ], + [ + 507, + 1580 + ], + [ + 3813, + 4820 + ], + [ + 4778, + 7192 + ], + [ + 4874, + 7654 + ], + [ + 4800, + 9425 + ], + [ + 5775, + 6069 + ], + [ + 3332, + 7930 + ], + [ + 787, + 816 + ], + [ + 5699, + 7013 + ], + [ + 10330, + 10716 + ], + [ + 10868, + 11523 + ], + [ + 6164, + 8281 + ], + [ + 2982, + 6770 + ], + [ + 8897, + 9407 + ], + [ + 5875, + 11561 + ], + [ + 3357, + 9276 + ], + [ + 7834, + 9883 + ], + [ + 4250, + 10082 + ], + [ + 6805, + 9216 + ], + [ + 3231, + 4441 + ], + [ + 805, + 1745 + ], + [ + 8975, + 11168 + ], + [ + 47, + 6267 + ], + [ + 9195, + 9222 + ], + [ + 2753, + 11232 + ], + [ + 1514, + 9789 + ], + [ + 4413, + 8733 + ], + [ + 6986, + 7692 + ], + [ + 3213, + 5740 + ], + [ + 666, + 11385 + ], + [ + 1294, + 4538 + ], + [ + 5614, + 10823 + ], + [ + 853, + 11211 + ], + [ + 1281, + 9968 + ], + [ + 3430, + 7660 + ], + [ + 2432, + 9312 + ], + [ + 2394, + 6576 + ], + [ + 4269, + 5197 + ], + [ + 3488, + 5386 + ], + [ + 3525, + 10149 + ], + [ + 2732, + 5817 + ], + [ + 5782, + 11346 + ], + [ + 6692, + 7595 + ], + [ + 7225, + 10310 + ], + [ + 2704, + 4523 + ], + [ + 3419, + 5966 + ], + [ + 802, + 6708 + ], + [ + 1889, + 7757 + ], + [ + 777, + 8341 + ], + [ + 493, + 8582 + ], + [ + 4041, + 5720 + ], + [ + 397, + 2458 + ], + [ + 2950, + 4175 + ], + [ + 1867, + 3245 + ], + [ + 9356, + 10055 + ], + [ + 3475, + 6248 + ], + [ + 3628, + 7244 + ], + [ + 4032, + 4853 + ], + [ + 7574, + 10844 + ], + [ + 3102, + 4919 + ], + [ + 5108, + 8749 + ], + [ + 9722, + 11317 + ], + [ + 233, + 7315 + ], + [ + 1570, + 5883 + ], + [ + 3404, + 10919 + ], + [ + 1995, + 4369 + ], + [ + 1997, + 5196 + ], + [ + 190, + 4235 + ], + [ + 3070, + 5381 + ], + [ + 948, + 3096 + ], + [ + 1624, + 6119 + ], + [ + 5705, + 5972 + ], + [ + 884, + 5555 + ], + [ + 6880, + 9874 + ], + [ + 2157, + 6582 + ], + [ + 2408, + 10365 + ], + [ + 3361, + 11222 + ], + [ + 2900, + 3657 + ], + [ + 68, + 273 + ], + [ + 7342, + 7461 + ], + [ + 3955, + 8928 + ], + [ + 1240, + 5375 + ], + [ + 5875, + 6568 + ], + [ + 3958, + 6193 + ], + [ + 10649, + 11303 + ], + [ + 3390, + 6675 + ], + [ + 563, + 3635 + ], + [ + 9088, + 11529 + ], + [ + 5382, + 6635 + ], + [ + 4728, + 5845 + ], + [ + 7243, + 7832 + ], + [ + 3349, + 10057 + ], + [ + 8206, + 10131 + ], + [ + 477, + 6520 + ], + [ + 4043, + 11377 + ], + [ + 671, + 9769 + ], + [ + 917, + 6792 + ], + [ + 2345, + 11140 + ], + [ + 46, + 9717 + ], + [ + 1823, + 6305 + ], + [ + 7265, + 8530 + ], + [ + 6086, + 11302 + ], + [ + 546, + 1372 + ], + [ + 360, + 9318 + ], + [ + 5406, + 11543 + ], + [ + 922, + 10519 + ], + [ + 328, + 3364 + ], + [ + 2754, + 6814 + ], + [ + 600, + 1608 + ], + [ + 4053, + 8308 + ], + [ + 1283, + 5802 + ], + [ + 8287, + 9157 + ], + [ + 9247, + 11185 + ], + [ + 2771, + 3785 + ], + [ + 4993, + 6651 + ], + [ + 1440, + 9169 + ], + [ + 1381, + 5556 + ], + [ + 2773, + 3831 + ], + [ + 2895, + 8924 + ], + [ + 6449, + 10014 + ], + [ + 907, + 9837 + ], + [ + 1813, + 10848 + ], + [ + 3269, + 4412 + ], + [ + 1280, + 1717 + ], + [ + 1397, + 3056 + ], + [ + 3105, + 9673 + ], + [ + 3763, + 4920 + ], + [ + 5186, + 8924 + ], + [ + 3761, + 8257 + ], + [ + 4635, + 4849 + ], + [ + 3821, + 8308 + ], + [ + 3998, + 7446 + ], + [ + 5682, + 9505 + ], + [ + 7056, + 10584 + ], + [ + 990, + 11161 + ], + [ + 3911, + 11584 + ], + [ + 2120, + 4740 + ], + [ + 5697, + 6780 + ], + [ + 10471, + 11515 + ], + [ + 1091, + 4827 + ], + [ + 6047, + 10542 + ], + [ + 6172, + 9490 + ], + [ + 3925, + 8257 + ], + [ + 6532, + 7581 + ], + [ + 12, + 10432 + ], + [ + 5053, + 5897 + ], + [ + 134, + 5699 + ], + [ + 7658, + 10810 + ], + [ + 7286, + 8952 + ], + [ + 5438, + 5738 + ], + [ + 5637, + 9331 + ], + [ + 708, + 1275 + ], + [ + 6129, + 9793 + ], + [ + 1062, + 5937 + ], + [ + 6620, + 10030 + ], + [ + 2229, + 11449 + ], + [ + 4109, + 11168 + ], + [ + 5594, + 9634 + ], + [ + 7306, + 7325 + ], + [ + 124, + 4607 + ], + [ + 1197, + 4068 + ], + [ + 1955, + 9345 + ], + [ + 6652, + 11416 + ], + [ + 947, + 3893 + ], + [ + 10871, + 11233 + ], + [ + 951, + 10428 + ], + [ + 7202, + 9604 + ], + [ + 3222, + 9803 + ], + [ + 8855, + 10098 + ], + [ + 6830, + 7746 + ], + [ + 2600, + 7770 + ], + [ + 6545, + 7762 + ], + [ + 10495, + 11104 + ], + [ + 1758, + 2765 + ], + [ + 4585, + 6559 + ], + [ + 4674, + 9260 + ], + [ + 1186, + 6511 + ], + [ + 3421, + 9639 + ], + [ + 2330, + 4684 + ], + [ + 1182, + 2605 + ], + [ + 210, + 3226 + ], + [ + 657, + 3915 + ], + [ + 6388, + 6997 + ], + [ + 5285, + 10353 + ], + [ + 6941, + 10364 + ], + [ + 4453, + 10954 + ], + [ + 3732, + 11194 + ], + [ + 4205, + 6688 + ], + [ + 3107, + 4726 + ], + [ + 3738, + 7976 + ], + [ + 8153, + 11115 + ], + [ + 6899, + 10892 + ], + [ + 1789, + 3956 + ], + [ + 3882, + 11138 + ], + [ + 3872, + 4034 + ], + [ + 1514, + 5414 + ], + [ + 1258, + 1287 + ], + [ + 6887, + 10508 + ], + [ + 54, + 8698 + ], + [ + 696, + 5721 + ], + [ + 3373, + 5784 + ], + [ + 8295, + 10417 + ], + [ + 4549, + 6878 + ], + [ + 825, + 4788 + ], + [ + 3435, + 10045 + ], + [ + 2380, + 11163 + ], + [ + 3024, + 4849 + ], + [ + 1941, + 7329 + ], + [ + 3770, + 6359 + ], + [ + 7825, + 11407 + ], + [ + 1003, + 6780 + ], + [ + 8442, + 10063 + ], + [ + 2396, + 8663 + ], + [ + 2334, + 7031 + ], + [ + 4020, + 9917 + ], + [ + 2086, + 11066 + ], + [ + 7927, + 11310 + ], + [ + 1831, + 3377 + ], + [ + 9422, + 10464 + ], + [ + 2047, + 8105 + ], + [ + 1075, + 4562 + ], + [ + 517, + 5732 + ], + [ + 1888, + 9546 + ], + [ + 7557, + 9498 + ], + [ + 7083, + 8861 + ], + [ + 508, + 11281 + ], + [ + 2968, + 7145 + ], + [ + 5927, + 10304 + ], + [ + 693, + 11034 + ], + [ + 7472, + 9575 + ], + [ + 8597, + 9950 + ], + [ + 3958, + 11267 + ], + [ + 3557, + 10923 + ], + [ + 2647, + 8258 + ], + [ + 9380, + 9807 + ], + [ + 258, + 1657 + ], + [ + 4012, + 11503 + ], + [ + 781, + 3684 + ], + [ + 5137, + 5462 + ], + [ + 6317, + 9708 + ], + [ + 398, + 7329 + ], + [ + 4413, + 8814 + ], + [ + 2928, + 3932 + ], + [ + 7253, + 10561 + ], + [ + 3366, + 7541 + ], + [ + 3547, + 4169 + ], + [ + 4476, + 6884 + ], + [ + 1335, + 5374 + ], + [ + 5195, + 9200 + ], + [ + 978, + 10240 + ], + [ + 10038, + 11096 + ], + [ + 7170, + 7301 + ], + [ + 1201, + 5559 + ], + [ + 1543, + 8706 + ], + [ + 1608, + 3439 + ], + [ + 6608, + 9483 + ], + [ + 445, + 6744 + ], + [ + 2910, + 9368 + ], + [ + 4555, + 5083 + ], + [ + 2748, + 10538 + ], + [ + 4312, + 5325 + ], + [ + 5339, + 9329 + ], + [ + 690, + 9958 + ], + [ + 4427, + 5837 + ], + [ + 1681, + 7889 + ], + [ + 4893, + 5078 + ], + [ + 1498, + 8182 + ], + [ + 4180, + 9343 + ], + [ + 6206, + 8133 + ], + [ + 3486, + 11406 + ], + [ + 3985, + 5869 + ], + [ + 1562, + 9106 + ], + [ + 11457, + 11544 + ], + [ + 2116, + 10446 + ], + [ + 7536, + 9694 + ], + [ + 10832, + 11492 + ], + [ + 7437, + 8934 + ], + [ + 9092, + 10255 + ], + [ + 1855, + 9358 + ], + [ + 5320, + 6993 + ], + [ + 5196, + 9401 + ], + [ + 1139, + 3526 + ], + [ + 3112, + 9852 + ], + [ + 5058, + 8713 + ], + [ + 3573, + 3831 + ], + [ + 2914, + 4949 + ], + [ + 395, + 6226 + ], + [ + 8920, + 9956 + ], + [ + 4663, + 5905 + ], + [ + 762, + 11123 + ], + [ + 6899, + 8477 + ], + [ + 860, + 1078 + ], + [ + 22, + 4143 + ], + [ + 2852, + 7454 + ], + [ + 1450, + 2075 + ], + [ + 3072, + 9672 + ], + [ + 1955, + 9158 + ], + [ + 8390, + 10141 + ], + [ + 3662, + 6505 + ], + [ + 730, + 11585 + ], + [ + 6189, + 10007 + ], + [ + 2784, + 6007 + ], + [ + 358, + 3311 + ], + [ + 3379, + 10354 + ], + [ + 5330, + 7307 + ], + [ + 9595, + 9721 + ], + [ + 3178, + 9317 + ], + [ + 1254, + 11181 + ], + [ + 4218, + 11274 + ], + [ + 8721, + 10096 + ], + [ + 101, + 9512 + ], + [ + 92, + 7514 + ], + [ + 10145, + 10538 + ], + [ + 2612, + 7593 + ], + [ + 5767, + 10664 + ], + [ + 4764, + 11218 + ], + [ + 7622, + 7909 + ], + [ + 6099, + 6707 + ], + [ + 3516, + 5525 + ], + [ + 4130, + 7670 + ], + [ + 5904, + 6239 + ], + [ + 6910, + 8612 + ], + [ + 1459, + 2137 + ], + [ + 6498, + 9607 + ], + [ + 4010, + 10197 + ], + [ + 2601, + 5899 + ], + [ + 2174, + 10750 + ], + [ + 233, + 6591 + ], + [ + 5002, + 10982 + ], + [ + 3065, + 4313 + ], + [ + 3538, + 4725 + ], + [ + 3784, + 4000 + ], + [ + 5368, + 5855 + ], + [ + 2171, + 4036 + ], + [ + 4602, + 7076 + ], + [ + 7957, + 10235 + ], + [ + 9476, + 10537 + ], + [ + 6052, + 6487 + ], + [ + 5964, + 6640 + ], + [ + 1439, + 3363 + ], + [ + 76, + 3574 + ], + [ + 5024, + 5264 + ], + [ + 7582, + 8079 + ], + [ + 2534, + 5027 + ], + [ + 3833, + 6521 + ], + [ + 3181, + 8810 + ], + [ + 4364, + 6157 + ], + [ + 3125, + 8878 + ], + [ + 35, + 6956 + ], + [ + 317, + 5888 + ], + [ + 5012, + 11296 + ], + [ + 5643, + 8130 + ], + [ + 1689, + 3888 + ], + [ + 2372, + 3164 + ], + [ + 125, + 2685 + ], + [ + 1868, + 6105 + ], + [ + 7778, + 10650 + ], + [ + 1217, + 11248 + ], + [ + 153, + 1700 + ], + [ + 187, + 530 + ], + [ + 2210, + 6219 + ], + [ + 7559, + 8253 + ], + [ + 9427, + 10621 + ], + [ + 4045, + 8447 + ], + [ + 242, + 10036 + ], + [ + 3015, + 10561 + ], + [ + 3287, + 8805 + ], + [ + 8698, + 9465 + ], + [ + 1296, + 3031 + ], + [ + 272, + 5714 + ], + [ + 2605, + 5967 + ], + [ + 5148, + 9248 + ], + [ + 8052, + 9290 + ], + [ + 6963, + 8572 + ], + [ + 8083, + 8603 + ], + [ + 4089, + 10624 + ], + [ + 7604, + 7622 + ], + [ + 1442, + 6239 + ], + [ + 2906, + 6080 + ], + [ + 5120, + 11337 + ], + [ + 2563, + 2708 + ], + [ + 2590, + 10947 + ], + [ + 2766, + 3067 + ], + [ + 1532, + 1968 + ], + [ + 1471, + 8108 + ], + [ + 1273, + 3205 + ], + [ + 944, + 5181 + ], + [ + 6324, + 10692 + ], + [ + 8908, + 10564 + ], + [ + 9801, + 11370 + ], + [ + 7437, + 9552 + ], + [ + 1952, + 3493 + ], + [ + 6530, + 10568 + ], + [ + 3042, + 4813 + ], + [ + 1772, + 8221 + ], + [ + 2611, + 5758 + ], + [ + 7862, + 11421 + ], + [ + 5632, + 6385 + ], + [ + 2297, + 10294 + ], + [ + 3720, + 7882 + ], + [ + 3756, + 7539 + ], + [ + 4034, + 8981 + ], + [ + 6124, + 10230 + ], + [ + 10136, + 11444 + ], + [ + 1299, + 8159 + ], + [ + 3653, + 9289 + ], + [ + 6827, + 10158 + ], + [ + 4869, + 9782 + ], + [ + 9946, + 11320 + ], + [ + 1639, + 8981 + ], + [ + 4311, + 8700 + ], + [ + 7232, + 11375 + ], + [ + 1280, + 6604 + ], + [ + 972, + 2287 + ], + [ + 5400, + 6385 + ], + [ + 1092, + 7307 + ], + [ + 2284, + 2488 + ], + [ + 2812, + 9023 + ], + [ + 2960, + 5511 + ], + [ + 1717, + 6578 + ], + [ + 3489, + 8484 + ], + [ + 5266, + 6570 + ], + [ + 7282, + 11088 + ], + [ + 3230, + 4059 + ], + [ + 959, + 8067 + ], + [ + 4818, + 9039 + ], + [ + 3434, + 10655 + ], + [ + 172, + 1271 + ], + [ + 3036, + 9828 + ], + [ + 4244, + 9706 + ], + [ + 6608, + 11524 + ], + [ + 851, + 3057 + ], + [ + 2816, + 5358 + ], + [ + 6487, + 7033 + ], + [ + 1788, + 8299 + ], + [ + 5215, + 9614 + ], + [ + 2412, + 10378 + ], + [ + 4432, + 5970 + ], + [ + 130, + 6680 + ], + [ + 4278, + 5503 + ], + [ + 3922, + 4178 + ], + [ + 1654, + 4320 + ], + [ + 8479, + 10376 + ], + [ + 1758, + 8807 + ], + [ + 3329, + 6293 + ], + [ + 2809, + 4537 + ], + [ + 2000, + 8340 + ], + [ + 3583, + 3931 + ], + [ + 10890, + 11259 + ], + [ + 2932, + 9074 + ], + [ + 5048, + 10790 + ], + [ + 3543, + 4532 + ], + [ + 3329, + 9676 + ], + [ + 5008, + 11391 + ], + [ + 3415, + 5286 + ], + [ + 2274, + 4378 + ], + [ + 3826, + 4066 + ], + [ + 1742, + 6769 + ], + [ + 3327, + 9603 + ], + [ + 3755, + 5354 + ], + [ + 3512, + 8602 + ], + [ + 4260, + 6775 + ], + [ + 4592, + 9234 + ], + [ + 808, + 7093 + ], + [ + 2045, + 7709 + ], + [ + 6126, + 7562 + ], + [ + 1138, + 8725 + ], + [ + 3438, + 6586 + ], + [ + 3720, + 6272 + ], + [ + 2345, + 11384 + ], + [ + 3661, + 9075 + ], + [ + 8017, + 10853 + ], + [ + 10405, + 10813 + ], + [ + 391, + 11127 + ], + [ + 2810, + 6236 + ], + [ + 7608, + 9113 + ], + [ + 2249, + 11272 + ], + [ + 1507, + 4219 + ], + [ + 4480, + 7084 + ], + [ + 5073, + 8352 + ], + [ + 8304, + 9755 + ], + [ + 38, + 3253 + ], + [ + 65, + 11492 + ], + [ + 1113, + 9957 + ], + [ + 4141, + 4585 + ], + [ + 2665, + 3229 + ], + [ + 4452, + 9173 + ], + [ + 1046, + 2319 + ], + [ + 10422, + 11517 + ], + [ + 1606, + 6857 + ], + [ + 6026, + 6176 + ], + [ + 1697, + 6221 + ], + [ + 2139, + 7320 + ], + [ + 3789, + 4133 + ], + [ + 3515, + 5062 + ], + [ + 2851, + 5836 + ], + [ + 3843, + 10031 + ], + [ + 328, + 2453 + ], + [ + 6277, + 6926 + ], + [ + 1858, + 4045 + ], + [ + 762, + 9326 + ], + [ + 1481, + 1843 + ], + [ + 3026, + 7530 + ], + [ + 5886, + 9929 + ], + [ + 3277, + 8280 + ], + [ + 875, + 2972 + ], + [ + 2958, + 3050 + ], + [ + 4131, + 6125 + ], + [ + 5827, + 9699 + ], + [ + 1152, + 4943 + ], + [ + 674, + 2689 + ], + [ + 780, + 3085 + ], + [ + 1153, + 2135 + ], + [ + 83, + 1467 + ], + [ + 9743, + 10424 + ], + [ + 1052, + 4712 + ], + [ + 4450, + 5289 + ], + [ + 6036, + 10223 + ], + [ + 652, + 806 + ], + [ + 7922, + 9006 + ], + [ + 1043, + 10261 + ], + [ + 9293, + 9814 + ], + [ + 6614, + 8924 + ], + [ + 293, + 3347 + ], + [ + 5430, + 5690 + ], + [ + 256, + 9881 + ], + [ + 3893, + 6310 + ], + [ + 2996, + 8014 + ], + [ + 726, + 11493 + ], + [ + 4427, + 5463 + ], + [ + 1158, + 5488 + ], + [ + 3525, + 6823 + ], + [ + 6147, + 7179 + ], + [ + 5015, + 5633 + ], + [ + 6923, + 7400 + ], + [ + 5395, + 5854 + ], + [ + 997, + 10266 + ], + [ + 3263, + 9297 + ], + [ + 2053, + 6340 + ], + [ + 7283, + 11126 + ], + [ + 321, + 10626 + ], + [ + 10837, + 11462 + ], + [ + 596, + 6889 + ], + [ + 656, + 6940 + ], + [ + 3550, + 5540 + ], + [ + 5071, + 10079 + ], + [ + 1518, + 6181 + ], + [ + 2490, + 3308 + ], + [ + 6385, + 6943 + ], + [ + 298, + 8952 + ], + [ + 3043, + 7429 + ], + [ + 1737, + 4010 + ], + [ + 7172, + 9982 + ], + [ + 145, + 4923 + ], + [ + 3978, + 4674 + ], + [ + 9752, + 10112 + ], + [ + 4962, + 5598 + ], + [ + 1446, + 10627 + ], + [ + 3559, + 9416 + ], + [ + 2750, + 6803 + ], + [ + 5893, + 8359 + ], + [ + 3441, + 10858 + ], + [ + 6242, + 6261 + ], + [ + 3379, + 3564 + ], + [ + 1321, + 9400 + ], + [ + 595, + 8542 + ], + [ + 10594, + 11303 + ], + [ + 3177, + 5335 + ], + [ + 2308, + 2671 + ], + [ + 4047, + 5191 + ], + [ + 6413, + 11219 + ], + [ + 2901, + 7322 + ], + [ + 10296, + 10333 + ], + [ + 11524, + 11587 + ], + [ + 2548, + 5514 + ], + [ + 1710, + 8579 + ], + [ + 5297, + 11307 + ], + [ + 464, + 5965 + ], + [ + 593, + 1649 + ], + [ + 407, + 9595 + ], + [ + 1147, + 9405 + ], + [ + 4142, + 8811 + ], + [ + 10360, + 11257 + ], + [ + 4732, + 5644 + ], + [ + 4164, + 6126 + ], + [ + 6469, + 10747 + ], + [ + 3919, + 10459 + ], + [ + 5032, + 8565 + ], + [ + 4285, + 7584 + ], + [ + 4594, + 9093 + ], + [ + 3756, + 5742 + ], + [ + 5779, + 7267 + ], + [ + 2317, + 9149 + ], + [ + 3965, + 9299 + ], + [ + 5589, + 11307 + ], + [ + 6489, + 9120 + ], + [ + 7199, + 10219 + ], + [ + 301, + 8014 + ], + [ + 6829, + 9188 + ], + [ + 4430, + 10567 + ], + [ + 827, + 7306 + ], + [ + 6269, + 8033 + ], + [ + 199, + 1321 + ], + [ + 7855, + 8803 + ], + [ + 4302, + 9069 + ], + [ + 8809, + 11016 + ], + [ + 1989, + 3806 + ], + [ + 1901, + 8123 + ], + [ + 1120, + 1142 + ], + [ + 2486, + 4612 + ], + [ + 5013, + 7360 + ], + [ + 3736, + 9597 + ], + [ + 5575, + 9315 + ], + [ + 2464, + 5762 + ], + [ + 2392, + 4196 + ], + [ + 869, + 2994 + ], + [ + 26, + 5715 + ], + [ + 6999, + 9757 + ], + [ + 5595, + 9967 + ], + [ + 3955, + 8180 + ], + [ + 5096, + 6836 + ], + [ + 994, + 1942 + ], + [ + 3323, + 11121 + ], + [ + 7748, + 8532 + ], + [ + 7249, + 7653 + ], + [ + 1648, + 10279 + ], + [ + 4587, + 7898 + ], + [ + 9731, + 10658 + ], + [ + 9268, + 9436 + ], + [ + 7229, + 8125 + ], + [ + 344, + 9565 + ], + [ + 4855, + 9002 + ], + [ + 4803, + 8812 + ], + [ + 9500, + 10883 + ], + [ + 1372, + 10007 + ], + [ + 2502, + 10726 + ], + [ + 5140, + 5199 + ], + [ + 2122, + 11259 + ], + [ + 1752, + 3812 + ], + [ + 5234, + 8998 + ], + [ + 4418, + 5214 + ], + [ + 1147, + 4412 + ], + [ + 596, + 1091 + ], + [ + 1745, + 6024 + ], + [ + 1743, + 2945 + ], + [ + 7471, + 11391 + ], + [ + 3452, + 6000 + ], + [ + 496, + 6522 + ], + [ + 494, + 10613 + ], + [ + 1764, + 7205 + ], + [ + 6192, + 10549 + ], + [ + 203, + 9683 + ], + [ + 616, + 5126 + ], + [ + 764, + 1614 + ], + [ + 1861, + 4105 + ], + [ + 636, + 5778 + ], + [ + 4314, + 10876 + ], + [ + 5964, + 7689 + ], + [ + 10002, + 10878 + ], + [ + 102, + 5844 + ], + [ + 3723, + 8156 + ], + [ + 5397, + 9527 + ], + [ + 8540, + 11083 + ], + [ + 3750, + 5815 + ], + [ + 750, + 10202 + ], + [ + 4029, + 8613 + ], + [ + 2331, + 8376 + ], + [ + 668, + 11301 + ], + [ + 286, + 8755 + ], + [ + 8338, + 9821 + ], + [ + 1746, + 4690 + ], + [ + 4230, + 11528 + ], + [ + 2145, + 2709 + ], + [ + 7910, + 11037 + ], + [ + 928, + 2745 + ], + [ + 7157, + 9487 + ], + [ + 1959, + 2704 + ], + [ + 2893, + 9927 + ], + [ + 1202, + 6697 + ], + [ + 1663, + 5594 + ], + [ + 50, + 7882 + ], + [ + 2015, + 3767 + ], + [ + 3756, + 6360 + ], + [ + 6462, + 11325 + ], + [ + 3936, + 5015 + ], + [ + 4522, + 10774 + ], + [ + 8455, + 8477 + ], + [ + 2505, + 6785 + ], + [ + 1908, + 2365 + ], + [ + 3367, + 6026 + ], + [ + 6450, + 6777 + ], + [ + 5920, + 9995 + ], + [ + 2615, + 3947 + ], + [ + 8597, + 10812 + ], + [ + 4060, + 10154 + ], + [ + 947, + 6528 + ], + [ + 6210, + 7290 + ], + [ + 4739, + 6278 + ], + [ + 1026, + 4377 + ], + [ + 3615, + 8757 + ], + [ + 3556, + 11560 + ], + [ + 3708, + 8167 + ], + [ + 2084, + 6913 + ], + [ + 3230, + 5913 + ], + [ + 2926, + 8131 + ], + [ + 5508, + 11340 + ], + [ + 9121, + 9627 + ], + [ + 7748, + 9150 + ], + [ + 5434, + 6695 + ], + [ + 4439, + 7864 + ], + [ + 3539, + 3635 + ], + [ + 9679, + 11086 + ], + [ + 4215, + 6658 + ], + [ + 3999, + 10975 + ], + [ + 5088, + 9441 + ], + [ + 3689, + 9995 + ], + [ + 2319, + 9789 + ], + [ + 5624, + 9421 + ], + [ + 1575, + 8325 + ], + [ + 1946, + 10712 + ], + [ + 7352, + 11028 + ], + [ + 561, + 8720 + ], + [ + 3181, + 8249 + ], + [ + 5328, + 11530 + ], + [ + 505, + 4624 + ], + [ + 2623, + 3003 + ], + [ + 1835, + 6185 + ], + [ + 6764, + 7825 + ], + [ + 2273, + 9794 + ], + [ + 6763, + 7600 + ], + [ + 627, + 3274 + ], + [ + 4511, + 10160 + ], + [ + 7405, + 8006 + ], + [ + 464, + 4973 + ], + [ + 1147, + 1997 + ], + [ + 2107, + 4779 + ], + [ + 3724, + 11278 + ], + [ + 5403, + 6577 + ], + [ + 5840, + 7332 + ], + [ + 1456, + 3506 + ], + [ + 485, + 2817 + ], + [ + 8955, + 11004 + ], + [ + 4813, + 6711 + ], + [ + 1795, + 6355 + ], + [ + 397, + 10517 + ], + [ + 3563, + 10771 + ], + [ + 4994, + 8220 + ], + [ + 794, + 6955 + ], + [ + 696, + 4168 + ], + [ + 5370, + 10951 + ], + [ + 3705, + 6690 + ], + [ + 1525, + 7433 + ], + [ + 977, + 2875 + ], + [ + 4616, + 6547 + ], + [ + 3774, + 7958 + ], + [ + 4889, + 7645 + ], + [ + 3927, + 8954 + ], + [ + 3619, + 4637 + ], + [ + 4025, + 5325 + ], + [ + 3017, + 6289 + ], + [ + 408, + 10302 + ], + [ + 7217, + 7554 + ], + [ + 26, + 1340 + ], + [ + 8559, + 9849 + ], + [ + 589, + 6149 + ], + [ + 8465, + 9433 + ], + [ + 5003, + 11315 + ], + [ + 3016, + 3031 + ], + [ + 3076, + 3836 + ], + [ + 5125, + 10746 + ], + [ + 5161, + 6239 + ], + [ + 3767, + 7137 + ], + [ + 2084, + 2270 + ], + [ + 477, + 1397 + ], + [ + 2384, + 5191 + ], + [ + 2812, + 8112 + ], + [ + 3696, + 5392 + ], + [ + 4940, + 7933 + ], + [ + 5205, + 9170 + ], + [ + 5800, + 6347 + ], + [ + 7141, + 11450 + ], + [ + 1441, + 3517 + ], + [ + 5637, + 8046 + ], + [ + 389, + 1900 + ], + [ + 1318, + 2363 + ], + [ + 6474, + 8920 + ], + [ + 9614, + 10959 + ], + [ + 4171, + 4345 + ], + [ + 5764, + 11204 + ], + [ + 3823, + 7045 + ], + [ + 378, + 11540 + ], + [ + 8083, + 9115 + ], + [ + 2644, + 5653 + ], + [ + 2427, + 5618 + ], + [ + 3987, + 11583 + ], + [ + 3881, + 4771 + ], + [ + 3010, + 7696 + ], + [ + 66, + 9733 + ], + [ + 1027, + 2537 + ], + [ + 777, + 8024 + ], + [ + 5352, + 9166 + ], + [ + 728, + 10791 + ], + [ + 2264, + 6536 + ], + [ + 6405, + 10604 + ], + [ + 8177, + 8346 + ], + [ + 9949, + 10252 + ], + [ + 608, + 9908 + ], + [ + 9720, + 10954 + ], + [ + 506, + 9631 + ], + [ + 2935, + 5428 + ], + [ + 10844, + 11104 + ], + [ + 7728, + 7961 + ], + [ + 3681, + 6938 + ], + [ + 8782, + 9624 + ], + [ + 2283, + 11100 + ], + [ + 840, + 1556 + ], + [ + 8897, + 10513 + ], + [ + 2980, + 11213 + ], + [ + 3083, + 6430 + ], + [ + 4972, + 11173 + ], + [ + 63, + 5247 + ], + [ + 1150, + 6296 + ], + [ + 6649, + 9809 + ], + [ + 8834, + 10164 + ], + [ + 5938, + 10737 + ], + [ + 8457, + 10214 + ], + [ + 2454, + 2472 + ], + [ + 3734, + 6168 + ], + [ + 1272, + 7979 + ], + [ + 1489, + 6516 + ], + [ + 772, + 6875 + ], + [ + 791, + 11089 + ], + [ + 5001, + 6626 + ], + [ + 3232, + 9155 + ], + [ + 488, + 700 + ], + [ + 4629, + 11184 + ], + [ + 10905, + 11356 + ], + [ + 1173, + 10602 + ], + [ + 6116, + 9696 + ], + [ + 3062, + 7431 + ], + [ + 176, + 8692 + ], + [ + 2156, + 11301 + ], + [ + 2399, + 4643 + ], + [ + 2428, + 3129 + ], + [ + 5244, + 6734 + ], + [ + 3995, + 4603 + ], + [ + 3234, + 4690 + ], + [ + 5604, + 10460 + ], + [ + 5785, + 6334 + ], + [ + 1740, + 2728 + ], + [ + 8601, + 9939 + ], + [ + 6918, + 11488 + ], + [ + 8475, + 11520 + ], + [ + 4609, + 9377 + ], + [ + 8403, + 9954 + ], + [ + 5106, + 10183 + ], + [ + 624, + 2816 + ], + [ + 4271, + 6349 + ], + [ + 5103, + 9131 + ], + [ + 1249, + 2087 + ], + [ + 5067, + 7222 + ], + [ + 3358, + 9802 + ], + [ + 2484, + 6794 + ], + [ + 10362, + 10905 + ], + [ + 1979, + 11008 + ], + [ + 2079, + 2544 + ], + [ + 2879, + 6569 + ], + [ + 5253, + 9829 + ], + [ + 2832, + 7477 + ], + [ + 4472, + 9264 + ], + [ + 4480, + 6873 + ], + [ + 3193, + 8422 + ], + [ + 4689, + 11184 + ], + [ + 1817, + 9899 + ], + [ + 6483, + 10405 + ], + [ + 7763, + 8439 + ], + [ + 2976, + 6852 + ], + [ + 3468, + 7314 + ], + [ + 7795, + 10606 + ], + [ + 448, + 10295 + ], + [ + 8954, + 9811 + ], + [ + 2678, + 3253 + ], + [ + 107, + 3586 + ], + [ + 3708, + 6020 + ], + [ + 2591, + 10424 + ], + [ + 5211, + 9953 + ], + [ + 7945, + 10550 + ], + [ + 7606, + 11084 + ], + [ + 1030, + 6486 + ], + [ + 3053, + 8011 + ], + [ + 943, + 7241 + ], + [ + 281, + 2426 + ], + [ + 4166, + 4619 + ], + [ + 2048, + 6240 + ], + [ + 564, + 10628 + ], + [ + 8871, + 10715 + ], + [ + 8023, + 8928 + ], + [ + 2212, + 10778 + ], + [ + 4290, + 9758 + ], + [ + 3352, + 11461 + ], + [ + 181, + 7857 + ], + [ + 3379, + 3458 + ], + [ + 4605, + 8049 + ], + [ + 333, + 5218 + ], + [ + 1704, + 1862 + ], + [ + 3942, + 5261 + ], + [ + 6118, + 7782 + ], + [ + 4903, + 10897 + ], + [ + 4712, + 11329 + ], + [ + 8447, + 10545 + ], + [ + 8070, + 8343 + ], + [ + 97, + 5126 + ], + [ + 5652, + 9672 + ], + [ + 2443, + 5584 + ], + [ + 666, + 1082 + ], + [ + 4719, + 5303 + ], + [ + 2322, + 7509 + ], + [ + 2687, + 5944 + ], + [ + 7293, + 8651 + ], + [ + 6895, + 7824 + ], + [ + 2709, + 4013 + ], + [ + 1155, + 1246 + ], + [ + 2003, + 3033 + ], + [ + 1841, + 4203 + ], + [ + 10096, + 11270 + ], + [ + 292, + 1780 + ], + [ + 2710, + 3834 + ], + [ + 2636, + 5605 + ], + [ + 2331, + 11385 + ], + [ + 2957, + 10127 + ], + [ + 3697, + 8439 + ], + [ + 9366, + 9889 + ], + [ + 5792, + 11530 + ], + [ + 3363, + 9317 + ], + [ + 6072, + 8137 + ], + [ + 10795, + 11429 + ], + [ + 275, + 6687 + ], + [ + 2417, + 3208 + ], + [ + 9956, + 10105 + ], + [ + 3067, + 11426 + ], + [ + 6993, + 7204 + ], + [ + 3626, + 6694 + ], + [ + 2421, + 10497 + ], + [ + 5282, + 6705 + ], + [ + 5927, + 7409 + ], + [ + 2312, + 2633 + ], + [ + 5871, + 10483 + ], + [ + 785, + 3941 + ], + [ + 5179, + 6957 + ], + [ + 2193, + 4604 + ], + [ + 1102, + 9475 + ], + [ + 7531, + 10643 + ], + [ + 4205, + 5216 + ], + [ + 9593, + 11342 + ], + [ + 6658, + 10489 + ], + [ + 3146, + 6592 + ], + [ + 7822, + 10038 + ], + [ + 1874, + 9173 + ], + [ + 5888, + 7804 + ], + [ + 3085, + 8568 + ], + [ + 6497, + 8851 + ], + [ + 2806, + 9907 + ], + [ + 6029, + 6531 + ], + [ + 4728, + 8374 + ], + [ + 29, + 5476 + ], + [ + 2047, + 10821 + ], + [ + 5686, + 10329 + ], + [ + 10173, + 10870 + ], + [ + 3260, + 6879 + ], + [ + 4168, + 9471 + ], + [ + 3411, + 7048 + ], + [ + 983, + 1273 + ], + [ + 153, + 11369 + ], + [ + 81, + 2633 + ], + [ + 8891, + 9730 + ], + [ + 7456, + 8375 + ], + [ + 8866, + 11363 + ], + [ + 2080, + 9399 + ], + [ + 10007, + 10019 + ], + [ + 4561, + 10304 + ], + [ + 4282, + 4473 + ], + [ + 1694, + 9363 + ], + [ + 6241, + 8457 + ], + [ + 1033, + 7402 + ], + [ + 8670, + 10670 + ], + [ + 974, + 3789 + ], + [ + 1975, + 8824 + ], + [ + 220, + 8053 + ], + [ + 722, + 9203 + ], + [ + 1878, + 8891 + ], + [ + 9591, + 10491 + ], + [ + 431, + 6021 + ], + [ + 5355, + 7317 + ], + [ + 960, + 4830 + ], + [ + 1113, + 5826 + ], + [ + 1643, + 2608 + ], + [ + 3579, + 11304 + ], + [ + 649, + 10795 + ], + [ + 4164, + 7793 + ], + [ + 2858, + 2876 + ], + [ + 9363, + 11014 + ], + [ + 7558, + 10880 + ], + [ + 616, + 1987 + ], + [ + 4201, + 11058 + ], + [ + 8306, + 9053 + ], + [ + 8182, + 10707 + ], + [ + 2389, + 9753 + ], + [ + 6330, + 6593 + ], + [ + 366, + 10857 + ], + [ + 5782, + 6199 + ], + [ + 5118, + 6973 + ], + [ + 3879, + 5530 + ], + [ + 732, + 6484 + ], + [ + 2531, + 9055 + ], + [ + 824, + 3040 + ], + [ + 607, + 4503 + ], + [ + 98, + 2182 + ], + [ + 6386, + 10285 + ], + [ + 10035, + 10481 + ], + [ + 9750, + 10497 + ], + [ + 2871, + 6090 + ], + [ + 1993, + 5592 + ], + [ + 4453, + 7872 + ], + [ + 5262, + 9704 + ], + [ + 5854, + 7364 + ], + [ + 3288, + 7317 + ], + [ + 3227, + 9293 + ], + [ + 1270, + 5355 + ], + [ + 10198, + 11010 + ], + [ + 3408, + 11556 + ], + [ + 82, + 4631 + ], + [ + 2038, + 10596 + ], + [ + 10587, + 10970 + ], + [ + 2598, + 3056 + ], + [ + 2407, + 3488 + ], + [ + 6673, + 8756 + ], + [ + 1121, + 7891 + ], + [ + 7753, + 9388 + ], + [ + 8539, + 10297 + ], + [ + 2063, + 2897 + ], + [ + 2584, + 8261 + ], + [ + 6345, + 6446 + ], + [ + 4020, + 10218 + ], + [ + 257, + 8954 + ], + [ + 2062, + 3426 + ], + [ + 904, + 7075 + ], + [ + 181, + 9898 + ], + [ + 6882, + 10034 + ], + [ + 996, + 9293 + ], + [ + 6197, + 9177 + ], + [ + 2212, + 9786 + ], + [ + 4853, + 10192 + ], + [ + 5850, + 9069 + ], + [ + 2488, + 8149 + ], + [ + 6743, + 9875 + ], + [ + 3689, + 6856 + ], + [ + 332, + 7034 + ], + [ + 2567, + 6752 + ], + [ + 3513, + 9074 + ], + [ + 675, + 7373 + ], + [ + 10692, + 10740 + ], + [ + 4742, + 9048 + ], + [ + 727, + 6782 + ], + [ + 1190, + 1588 + ], + [ + 2315, + 6127 + ], + [ + 725, + 10119 + ], + [ + 4835, + 8458 + ], + [ + 1621, + 8190 + ], + [ + 4458, + 6256 + ], + [ + 7223, + 9172 + ], + [ + 4647, + 9161 + ], + [ + 9688, + 11042 + ], + [ + 3994, + 11225 + ], + [ + 2344, + 8750 + ], + [ + 5234, + 9860 + ], + [ + 4339, + 8227 + ], + [ + 932, + 7564 + ], + [ + 806, + 11397 + ], + [ + 5388, + 7294 + ], + [ + 6193, + 8253 + ], + [ + 1592, + 10054 + ], + [ + 938, + 11516 + ], + [ + 413, + 8662 + ], + [ + 1589, + 9756 + ], + [ + 868, + 9242 + ], + [ + 5689, + 7407 + ], + [ + 1451, + 9822 + ], + [ + 615, + 3134 + ], + [ + 1456, + 10166 + ], + [ + 5064, + 7355 + ], + [ + 1731, + 5675 + ], + [ + 8761, + 10251 + ], + [ + 9974, + 10473 + ], + [ + 9583, + 10817 + ], + [ + 6739, + 11580 + ], + [ + 1638, + 9648 + ], + [ + 4779, + 8125 + ], + [ + 4785, + 11323 + ], + [ + 9632, + 10709 + ], + [ + 1418, + 4397 + ], + [ + 4737, + 7899 + ], + [ + 4675, + 7021 + ], + [ + 697, + 3883 + ], + [ + 1228, + 3519 + ], + [ + 4808, + 9994 + ], + [ + 3306, + 9669 + ], + [ + 3342, + 9326 + ], + [ + 2093, + 7195 + ], + [ + 5955, + 7684 + ], + [ + 5621, + 8562 + ], + [ + 509, + 7969 + ], + [ + 6534, + 10774 + ], + [ + 2341, + 3510 + ], + [ + 5396, + 9383 + ], + [ + 4326, + 8715 + ], + [ + 5102, + 8936 + ], + [ + 1062, + 9084 + ], + [ + 7445, + 9877 + ], + [ + 7106, + 10411 + ], + [ + 6784, + 7916 + ], + [ + 3673, + 11533 + ], + [ + 335, + 8755 + ], + [ + 216, + 7343 + ], + [ + 710, + 4468 + ], + [ + 4331, + 6780 + ], + [ + 1741, + 8591 + ], + [ + 901, + 10829 + ], + [ + 270, + 1163 + ], + [ + 2078, + 4978 + ], + [ + 7363, + 10225 + ], + [ + 7275, + 7372 + ], + [ + 432, + 9038 + ], + [ + 6120, + 9040 + ], + [ + 1359, + 9428 + ], + [ + 3819, + 10954 + ], + [ + 115, + 1225 + ], + [ + 3342, + 5138 + ], + [ + 6301, + 10549 + ], + [ + 9262, + 10371 + ], + [ + 5272, + 10636 + ], + [ + 2006, + 10178 + ], + [ + 1290, + 4346 + ], + [ + 1539, + 5050 + ], + [ + 4612, + 5113 + ], + [ + 2924, + 5564 + ], + [ + 1036, + 5927 + ], + [ + 8224, + 9591 + ], + [ + 4580, + 6329 + ], + [ + 5010, + 11575 + ], + [ + 347, + 1918 + ], + [ + 101, + 3397 + ], + [ + 2671, + 5091 + ], + [ + 6196, + 6941 + ], + [ + 3830, + 4296 + ], + [ + 1268, + 1739 + ], + [ + 3735, + 5190 + ], + [ + 6166, + 8230 + ], + [ + 2800, + 4158 + ], + [ + 1394, + 10711 + ], + [ + 918, + 7749 + ], + [ + 3445, + 10497 + ], + [ + 7332, + 7855 + ], + [ + 2581, + 8931 + ], + [ + 3722, + 6833 + ], + [ + 1480, + 6698 + ], + [ + 3498, + 7879 + ], + [ + 609, + 3207 + ], + [ + 227, + 7077 + ], + [ + 6682, + 9436 + ], + [ + 698, + 8914 + ], + [ + 11222, + 11523 + ], + [ + 5393, + 7906 + ], + [ + 2509, + 3578 + ], + [ + 293, + 8828 + ], + [ + 7786, + 8210 + ], + [ + 2903, + 3505 + ], + [ + 3040, + 9630 + ], + [ + 2846, + 7135 + ], + [ + 6669, + 8450 + ], + [ + 6385, + 8691 + ], + [ + 10118, + 11244 + ], + [ + 4495, + 10139 + ], + [ + 4526, + 5288 + ], + [ + 5980, + 10857 + ], + [ + 2690, + 5841 + ], + [ + 4015, + 6304 + ], + [ + 8003, + 10130 + ], + [ + 2120, + 9660 + ], + [ + 9093, + 11450 + ], + [ + 3520, + 5544 + ], + [ + 2116, + 5754 + ], + [ + 2454, + 5749 + ], + [ + 1927, + 6986 + ], + [ + 5316, + 11227 + ], + [ + 1962, + 2254 + ], + [ + 618, + 9685 + ], + [ + 4047, + 5411 + ], + [ + 236, + 7139 + ], + [ + 1648, + 10954 + ], + [ + 2696, + 8665 + ], + [ + 9177, + 10747 + ], + [ + 2484, + 4810 + ], + [ + 1171, + 4384 + ], + [ + 3910, + 6079 + ], + [ + 1601, + 3968 + ], + [ + 732, + 1304 + ], + [ + 6810, + 7877 + ], + [ + 3844, + 7711 + ], + [ + 2197, + 11169 + ], + [ + 7481, + 9802 + ], + [ + 10158, + 10619 + ], + [ + 3341, + 9342 + ], + [ + 51, + 7736 + ], + [ + 2201, + 11288 + ], + [ + 1472, + 4497 + ], + [ + 4092, + 11196 + ], + [ + 3686, + 9754 + ], + [ + 5957, + 9129 + ], + [ + 938, + 10979 + ], + [ + 860, + 9568 + ], + [ + 3214, + 10698 + ], + [ + 5449, + 10416 + ], + [ + 5793, + 7974 + ], + [ + 1503, + 3783 + ], + [ + 3762, + 4272 + ], + [ + 4887, + 8811 + ], + [ + 1427, + 7356 + ], + [ + 8775, + 9023 + ], + [ + 3076, + 11114 + ], + [ + 4383, + 10217 + ], + [ + 2008, + 10492 + ], + [ + 370, + 2362 + ], + [ + 2701, + 8204 + ], + [ + 7209, + 8124 + ], + [ + 710, + 5436 + ], + [ + 3407, + 6151 + ], + [ + 2440, + 7116 + ], + [ + 9496, + 9880 + ], + [ + 1622, + 4390 + ], + [ + 3705, + 10130 + ], + [ + 2213, + 4077 + ], + [ + 7034, + 8658 + ], + [ + 3635, + 8610 + ], + [ + 1016, + 5519 + ], + [ + 3293, + 8092 + ], + [ + 5349, + 5593 + ], + [ + 1357, + 11447 + ], + [ + 5846, + 9782 + ], + [ + 9640, + 10359 + ], + [ + 3437, + 10473 + ], + [ + 1205, + 8774 + ], + [ + 3034, + 7050 + ], + [ + 2745, + 6947 + ], + [ + 5212, + 5480 + ], + [ + 8192, + 10270 + ], + [ + 883, + 6279 + ], + [ + 8162, + 11559 + ], + [ + 4370, + 5393 + ], + [ + 2881, + 9437 + ], + [ + 7069, + 9941 + ], + [ + 818, + 4349 + ], + [ + 2313, + 10673 + ], + [ + 904, + 4123 + ], + [ + 1401, + 4175 + ], + [ + 2987, + 3447 + ], + [ + 9404, + 9486 + ], + [ + 316, + 6582 + ], + [ + 27, + 6479 + ], + [ + 4020, + 10649 + ], + [ + 1649, + 7660 + ], + [ + 935, + 2655 + ], + [ + 2860, + 7055 + ], + [ + 7161, + 9126 + ], + [ + 5098, + 10454 + ], + [ + 4110, + 4126 + ], + [ + 2736, + 6430 + ], + [ + 2605, + 3503 + ], + [ + 1388, + 9955 + ], + [ + 8050, + 10163 + ], + [ + 770, + 11074 + ], + [ + 1990, + 8303 + ], + [ + 7585, + 11524 + ], + [ + 5061, + 8293 + ], + [ + 3595, + 7625 + ], + [ + 6029, + 7930 + ], + [ + 5031, + 9582 + ], + [ + 4494, + 5213 + ], + [ + 4089, + 11543 + ], + [ + 8355, + 10395 + ], + [ + 2870, + 11506 + ], + [ + 7725, + 9999 + ], + [ + 5177, + 6374 + ], + [ + 6489, + 6575 + ], + [ + 374, + 6536 + ], + [ + 3263, + 4792 + ], + [ + 2120, + 9473 + ], + [ + 3059, + 10624 + ], + [ + 9253, + 9266 + ], + [ + 1345, + 6444 + ], + [ + 6042, + 8515 + ], + [ + 3528, + 9382 + ], + [ + 4755, + 10064 + ], + [ + 4884, + 5748 + ], + [ + 6857, + 7910 + ], + [ + 1059, + 3606 + ], + [ + 5353, + 10922 + ], + [ + 7660, + 9954 + ], + [ + 1017, + 3380 + ], + [ + 6164, + 6411 + ], + [ + 1338, + 6404 + ], + [ + 5476, + 6791 + ], + [ + 2425, + 4043 + ], + [ + 4130, + 6979 + ], + [ + 4109, + 6102 + ], + [ + 685, + 4304 + ], + [ + 637, + 880 + ], + [ + 2820, + 4572 + ], + [ + 7773, + 10770 + ], + [ + 2513, + 9525 + ], + [ + 1264, + 7394 + ], + [ + 4896, + 9141 + ], + [ + 4223, + 10553 + ], + [ + 2817, + 9936 + ], + [ + 6552, + 9152 + ], + [ + 8171, + 10816 + ], + [ + 7205, + 8219 + ], + [ + 3524, + 11491 + ], + [ + 912, + 3155 + ], + [ + 3747, + 10974 + ], + [ + 3869, + 5487 + ], + [ + 2210, + 5178 + ], + [ + 3605, + 7134 + ], + [ + 6750, + 9517 + ], + [ + 55, + 6917 + ], + [ + 254, + 10510 + ], + [ + 4416, + 9039 + ], + [ + 2678, + 10881 + ], + [ + 1241, + 8699 + ], + [ + 6366, + 9527 + ], + [ + 459, + 4499 + ], + [ + 932, + 4157 + ], + [ + 7952, + 8045 + ], + [ + 9206, + 11274 + ], + [ + 895, + 11445 + ], + [ + 4066, + 8633 + ], + [ + 5551, + 7099 + ], + [ + 454, + 7538 + ], + [ + 710, + 5249 + ], + [ + 1070, + 3340 + ], + [ + 1672, + 1688 + ], + [ + 3408, + 6189 + ], + [ + 5364, + 10656 + ], + [ + 3165, + 6431 + ], + [ + 6681, + 11201 + ], + [ + 697, + 9925 + ], + [ + 6151, + 8003 + ], + [ + 6822, + 9928 + ], + [ + 2935, + 6908 + ], + [ + 1065, + 2215 + ], + [ + 1102, + 11142 + ], + [ + 2035, + 2679 + ], + [ + 40, + 8837 + ], + [ + 998, + 3622 + ], + [ + 8404, + 8677 + ], + [ + 2034, + 8843 + ], + [ + 98, + 9192 + ], + [ + 2025, + 4593 + ], + [ + 2143, + 6534 + ], + [ + 2733, + 9783 + ], + [ + 4, + 3114 + ], + [ + 364, + 7621 + ], + [ + 3885, + 5565 + ], + [ + 4936, + 9963 + ], + [ + 2140, + 5482 + ], + [ + 240, + 8494 + ], + [ + 1119, + 5430 + ], + [ + 2418, + 7678 + ], + [ + 6249, + 10766 + ], + [ + 707, + 10589 + ], + [ + 110, + 6169 + ], + [ + 1233, + 10635 + ], + [ + 101, + 2673 + ], + [ + 7330, + 8590 + ], + [ + 3899, + 5621 + ], + [ + 604, + 6677 + ], + [ + 3969, + 11278 + ], + [ + 3972, + 10795 + ], + [ + 874, + 1842 + ], + [ + 5672, + 11135 + ], + [ + 6890, + 7537 + ], + [ + 3428, + 9419 + ], + [ + 3113, + 8095 + ], + [ + 970, + 11349 + ], + [ + 6410, + 7085 + ], + [ + 9221, + 10346 + ], + [ + 2647, + 6575 + ], + [ + 8086, + 9283 + ], + [ + 2989, + 3306 + ], + [ + 5255, + 8753 + ], + [ + 1337, + 9830 + ], + [ + 6252, + 9882 + ], + [ + 3948, + 5863 + ], + [ + 1456, + 4799 + ], + [ + 2264, + 9439 + ], + [ + 4416, + 10812 + ], + [ + 488, + 7791 + ], + [ + 5125, + 9811 + ], + [ + 3750, + 10759 + ], + [ + 2322, + 6411 + ], + [ + 3846, + 4805 + ], + [ + 10408, + 11225 + ], + [ + 3591, + 9948 + ], + [ + 3632, + 9949 + ], + [ + 7739, + 8771 + ], + [ + 5435, + 7758 + ], + [ + 1445, + 3105 + ], + [ + 3929, + 9943 + ], + [ + 2654, + 5837 + ], + [ + 8163, + 10038 + ], + [ + 9259, + 9675 + ], + [ + 3407, + 10770 + ], + [ + 1700, + 7761 + ], + [ + 1222, + 4753 + ], + [ + 2691, + 9102 + ], + [ + 2, + 7524 + ], + [ + 6203, + 6583 + ], + [ + 1913, + 8808 + ], + [ + 856, + 6093 + ], + [ + 9, + 1498 + ], + [ + 318, + 8669 + ], + [ + 7412, + 8534 + ], + [ + 2405, + 5483 + ], + [ + 5788, + 7280 + ], + [ + 10177, + 11450 + ], + [ + 4447, + 11222 + ], + [ + 4511, + 7265 + ], + [ + 2298, + 11278 + ], + [ + 7059, + 10890 + ], + [ + 8393, + 9160 + ], + [ + 9084, + 10209 + ], + [ + 3172, + 11253 + ], + [ + 622, + 6801 + ], + [ + 2826, + 4200 + ], + [ + 11193, + 11508 + ], + [ + 274, + 9501 + ], + [ + 5809, + 8507 + ], + [ + 207, + 1109 + ], + [ + 243, + 7936 + ], + [ + 4432, + 10540 + ], + [ + 2076, + 2167 + ], + [ + 1570, + 10697 + ], + [ + 990, + 8136 + ], + [ + 9424, + 10250 + ], + [ + 8581, + 8807 + ], + [ + 6215, + 10326 + ], + [ + 9236, + 10199 + ], + [ + 1387, + 5328 + ], + [ + 2192, + 9697 + ], + [ + 4038, + 10586 + ], + [ + 2446, + 5083 + ], + [ + 5090, + 9170 + ], + [ + 5704, + 10561 + ], + [ + 13, + 10261 + ], + [ + 2616, + 5679 + ], + [ + 2989, + 11145 + ], + [ + 1238, + 1448 + ], + [ + 9022, + 11559 + ], + [ + 746, + 4369 + ], + [ + 2743, + 11089 + ], + [ + 155, + 9563 + ], + [ + 7022, + 10957 + ], + [ + 1519, + 9954 + ], + [ + 306, + 1064 + ], + [ + 6157, + 8412 + ], + [ + 1726, + 11186 + ], + [ + 3883, + 8739 + ], + [ + 2885, + 10391 + ], + [ + 114, + 7660 + ], + [ + 603, + 4441 + ], + [ + 360, + 11099 + ], + [ + 1067, + 2101 + ], + [ + 4675, + 6460 + ], + [ + 5612, + 6784 + ], + [ + 7291, + 8499 + ], + [ + 1754, + 3004 + ], + [ + 4145, + 6645 + ], + [ + 1414, + 9729 + ], + [ + 664, + 4313 + ], + [ + 1254, + 5310 + ], + [ + 8385, + 10692 + ], + [ + 94, + 2470 + ], + [ + 2371, + 11459 + ], + [ + 1523, + 9672 + ], + [ + 7064, + 9624 + ], + [ + 5534, + 11415 + ], + [ + 9207, + 9753 + ], + [ + 2323, + 11418 + ], + [ + 10480, + 10780 + ], + [ + 4661, + 7851 + ], + [ + 5930, + 11388 + ], + [ + 4075, + 4721 + ], + [ + 1571, + 6306 + ], + [ + 4467, + 11368 + ], + [ + 1656, + 1691 + ], + [ + 720, + 4221 + ], + [ + 6788, + 10106 + ], + [ + 5950, + 9007 + ], + [ + 293, + 2656 + ], + [ + 7603, + 9501 + ], + [ + 6791, + 7371 + ], + [ + 5992, + 6200 + ], + [ + 655, + 2291 + ], + [ + 1090, + 2219 + ], + [ + 3204, + 8026 + ], + [ + 2027, + 7461 + ], + [ + 1218, + 4848 + ], + [ + 6825, + 9584 + ], + [ + 5510, + 9085 + ], + [ + 2965, + 11393 + ], + [ + 7383, + 7633 + ], + [ + 2051, + 11238 + ], + [ + 10012, + 10688 + ], + [ + 339, + 4879 + ], + [ + 1994, + 2036 + ], + [ + 2763, + 7502 + ], + [ + 3375, + 5814 + ], + [ + 8436, + 9825 + ], + [ + 301, + 1362 + ], + [ + 2446, + 8734 + ], + [ + 7432, + 10908 + ], + [ + 5062, + 10773 + ], + [ + 919, + 10042 + ], + [ + 2569, + 11019 + ], + [ + 8104, + 9271 + ], + [ + 7297, + 8239 + ], + [ + 6421, + 10820 + ], + [ + 5834, + 7088 + ], + [ + 2501, + 5408 + ], + [ + 8447, + 9610 + ], + [ + 572, + 2764 + ], + [ + 3899, + 11045 + ], + [ + 9074, + 9708 + ], + [ + 8090, + 8814 + ], + [ + 6135, + 7201 + ], + [ + 684, + 726 + ], + [ + 5208, + 10948 + ], + [ + 2767, + 6466 + ], + [ + 6703, + 10102 + ], + [ + 6168, + 6560 + ], + [ + 499, + 5110 + ], + [ + 1629, + 5829 + ], + [ + 4702, + 9275 + ], + [ + 342, + 10007 + ], + [ + 1485, + 5326 + ], + [ + 2677, + 6923 + ], + [ + 1517, + 7493 + ], + [ + 954, + 9073 + ], + [ + 3965, + 5225 + ], + [ + 1817, + 10387 + ], + [ + 6767, + 10652 + ], + [ + 2567, + 9387 + ], + [ + 1094, + 1132 + ], + [ + 2804, + 8576 + ], + [ + 794, + 840 + ], + [ + 3120, + 6338 + ], + [ + 8197, + 8630 + ], + [ + 876, + 3124 + ], + [ + 2118, + 8248 + ], + [ + 4306, + 8120 + ], + [ + 13, + 3658 + ], + [ + 2310, + 4254 + ], + [ + 7967, + 9107 + ], + [ + 879, + 10188 + ], + [ + 24, + 7230 + ], + [ + 1304, + 9428 + ], + [ + 3182, + 7566 + ], + [ + 2272, + 4901 + ], + [ + 6062, + 7988 + ], + [ + 1788, + 2078 + ], + [ + 6407, + 9154 + ], + [ + 5624, + 7762 + ], + [ + 8612, + 10161 + ], + [ + 2943, + 4547 + ], + [ + 6709, + 9492 + ], + [ + 272, + 7682 + ], + [ + 5740, + 8876 + ], + [ + 1392, + 5461 + ], + [ + 1758, + 9002 + ], + [ + 1689, + 11117 + ], + [ + 7945, + 9883 + ], + [ + 2845, + 10805 + ], + [ + 1508, + 8827 + ], + [ + 947, + 10480 + ], + [ + 2723, + 5712 + ], + [ + 3626, + 4954 + ], + [ + 3003, + 7981 + ], + [ + 7232, + 7732 + ], + [ + 2103, + 10168 + ], + [ + 4061, + 11298 + ], + [ + 2438, + 5728 + ], + [ + 4748, + 11447 + ], + [ + 1350, + 8618 + ], + [ + 10816, + 10916 + ], + [ + 7874, + 8138 + ], + [ + 730, + 2494 + ], + [ + 405, + 2734 + ], + [ + 6110, + 11011 + ], + [ + 2502, + 6652 + ], + [ + 1165, + 2422 + ], + [ + 1024, + 8633 + ], + [ + 3080, + 6134 + ], + [ + 2651, + 10158 + ], + [ + 2055, + 9346 + ], + [ + 10052, + 10705 + ], + [ + 6198, + 7825 + ], + [ + 1344, + 7268 + ], + [ + 7994, + 10125 + ], + [ + 5033, + 10303 + ], + [ + 8095, + 10931 + ], + [ + 1022, + 4773 + ], + [ + 1831, + 4353 + ], + [ + 5786, + 5787 + ], + [ + 5691, + 8933 + ], + [ + 1945, + 11056 + ], + [ + 1417, + 2269 + ], + [ + 236, + 4968 + ], + [ + 10137, + 10604 + ], + [ + 7950, + 9422 + ], + [ + 2263, + 6612 + ], + [ + 3620, + 5832 + ], + [ + 814, + 3669 + ], + [ + 1135, + 5939 + ], + [ + 7231, + 7456 + ], + [ + 1966, + 5867 + ], + [ + 5615, + 10227 + ], + [ + 3003, + 4143 + ], + [ + 340, + 1534 + ], + [ + 7101, + 11547 + ], + [ + 8255, + 10408 + ], + [ + 4831, + 9364 + ], + [ + 8721, + 9649 + ], + [ + 8163, + 10819 + ], + [ + 7931, + 11250 + ], + [ + 2456, + 2469 + ], + [ + 5126, + 5525 + ], + [ + 2450, + 8316 + ], + [ + 2059, + 8660 + ], + [ + 6904, + 11383 + ], + [ + 6465, + 10555 + ], + [ + 4597, + 9318 + ], + [ + 1287, + 2172 + ], + [ + 4340, + 11382 + ], + [ + 4288, + 4776 + ], + [ + 7390, + 10495 + ], + [ + 1757, + 4538 + ], + [ + 7582, + 10665 + ], + [ + 7926, + 10475 + ], + [ + 3408, + 4205 + ], + [ + 1407, + 6411 + ], + [ + 3905, + 5011 + ], + [ + 9280, + 10178 + ], + [ + 687, + 837 + ], + [ + 5834, + 10284 + ], + [ + 129, + 2007 + ], + [ + 9339, + 10758 + ], + [ + 4640, + 7860 + ], + [ + 2491, + 7916 + ], + [ + 635, + 10446 + ], + [ + 5907, + 8318 + ], + [ + 442, + 10805 + ], + [ + 7073, + 8694 + ], + [ + 4978, + 11238 + ], + [ + 9527, + 10405 + ], + [ + 2767, + 9662 + ], + [ + 5002, + 9380 + ], + [ + 9150, + 10455 + ], + [ + 839, + 10626 + ], + [ + 4793, + 9206 + ], + [ + 3878, + 5443 + ], + [ + 7463, + 8098 + ], + [ + 1572, + 7767 + ], + [ + 5689, + 7277 + ], + [ + 4443, + 11079 + ], + [ + 2664, + 5750 + ], + [ + 3190, + 5042 + ], + [ + 951, + 7834 + ], + [ + 6859, + 10054 + ], + [ + 2346, + 3374 + ], + [ + 176, + 4805 + ], + [ + 4193, + 7117 + ], + [ + 1287, + 11166 + ], + [ + 3876, + 4966 + ], + [ + 1003, + 4991 + ], + [ + 2336, + 6069 + ], + [ + 2461, + 11433 + ], + [ + 9847, + 10918 + ], + [ + 2225, + 2266 + ], + [ + 4520, + 6199 + ], + [ + 628, + 9251 + ], + [ + 1927, + 5083 + ], + [ + 7159, + 10696 + ], + [ + 1754, + 6818 + ], + [ + 4858, + 6194 + ], + [ + 6, + 48 + ], + [ + 3139, + 7332 + ], + [ + 8443, + 8849 + ], + [ + 3822, + 5110 + ], + [ + 3768, + 8257 + ], + [ + 9143, + 9260 + ], + [ + 8184, + 10086 + ], + [ + 6651, + 8196 + ], + [ + 8311, + 9861 + ], + [ + 765, + 1793 + ], + [ + 5045, + 5239 + ], + [ + 1769, + 4093 + ], + [ + 2577, + 8733 + ], + [ + 146, + 5693 + ], + [ + 8394, + 10835 + ], + [ + 6465, + 8945 + ], + [ + 1299, + 10745 + ], + [ + 2192, + 5135 + ], + [ + 5368, + 6831 + ], + [ + 7300, + 8992 + ], + [ + 4179, + 4751 + ], + [ + 576, + 1490 + ], + [ + 3810, + 7328 + ], + [ + 4873, + 6071 + ], + [ + 3587, + 10474 + ], + [ + 3098, + 8031 + ], + [ + 2466, + 10972 + ], + [ + 5083, + 10984 + ], + [ + 2872, + 5998 + ], + [ + 3646, + 11054 + ], + [ + 282, + 1393 + ], + [ + 2403, + 10623 + ], + [ + 6570, + 9496 + ], + [ + 2772, + 5013 + ], + [ + 315, + 7168 + ], + [ + 7871, + 11036 + ], + [ + 1278, + 3051 + ], + [ + 1517, + 8729 + ], + [ + 994, + 3292 + ], + [ + 2014, + 3119 + ], + [ + 2855, + 10151 + ], + [ + 3512, + 8960 + ], + [ + 124, + 6819 + ], + [ + 5535, + 8233 + ], + [ + 4356, + 6841 + ], + [ + 493, + 8379 + ], + [ + 3067, + 5311 + ], + [ + 4968, + 5153 + ], + [ + 1472, + 1789 + ], + [ + 3498, + 7749 + ], + [ + 330, + 10078 + ], + [ + 483, + 11074 + ], + [ + 5304, + 10737 + ], + [ + 2229, + 7595 + ], + [ + 4126, + 4285 + ], + [ + 1693, + 4582 + ], + [ + 4798, + 9818 + ], + [ + 2346, + 5147 + ], + [ + 2189, + 11579 + ], + [ + 5582, + 7648 + ], + [ + 10463, + 11526 + ], + [ + 3307, + 4367 + ], + [ + 442, + 11423 + ], + [ + 5005, + 10296 + ], + [ + 1813, + 8067 + ], + [ + 3205, + 10506 + ], + [ + 60, + 1707 + ], + [ + 7382, + 10821 + ], + [ + 4174, + 7335 + ], + [ + 5529, + 5728 + ], + [ + 3481, + 6590 + ], + [ + 4716, + 10543 + ], + [ + 2319, + 6333 + ], + [ + 3912, + 9028 + ], + [ + 913, + 5716 + ], + [ + 3371, + 11333 + ], + [ + 8942, + 9996 + ], + [ + 320, + 8585 + ], + [ + 2069, + 8787 + ], + [ + 8170, + 10648 + ], + [ + 2816, + 4106 + ], + [ + 1472, + 4367 + ], + [ + 2755, + 6082 + ], + [ + 876, + 3555 + ], + [ + 5516, + 11508 + ], + [ + 8597, + 9934 + ], + [ + 1555, + 3089 + ], + [ + 4580, + 4589 + ], + [ + 5263, + 8029 + ], + [ + 4332, + 10903 + ], + [ + 3979, + 9095 + ], + [ + 7624, + 9549 + ], + [ + 833, + 7241 + ], + [ + 3510, + 7304 + ], + [ + 9579, + 9627 + ], + [ + 9137, + 9282 + ], + [ + 6461, + 9821 + ], + [ + 2481, + 5856 + ], + [ + 3253, + 8587 + ], + [ + 5123, + 7618 + ], + [ + 4650, + 4954 + ], + [ + 1286, + 10377 + ], + [ + 7762, + 11361 + ], + [ + 3378, + 7535 + ], + [ + 9257, + 10515 + ], + [ + 7079, + 7921 + ], + [ + 6588, + 8061 + ], + [ + 6984, + 8815 + ], + [ + 9509, + 11490 + ], + [ + 1593, + 8807 + ], + [ + 4891, + 11432 + ], + [ + 4805, + 5996 + ], + [ + 701, + 10855 + ], + [ + 3373, + 4158 + ], + [ + 3151, + 5277 + ], + [ + 3839, + 9815 + ], + [ + 7975, + 9375 + ], + [ + 881, + 3094 + ], + [ + 2247, + 6564 + ], + [ + 1593, + 5774 + ], + [ + 4355, + 7638 + ], + [ + 5998, + 6690 + ], + [ + 1742, + 7745 + ], + [ + 6152, + 10540 + ], + [ + 3769, + 4508 + ], + [ + 2420, + 5179 + ], + [ + 3421, + 7208 + ], + [ + 2710, + 8136 + ], + [ + 1512, + 1806 + ], + [ + 2547, + 9835 + ], + [ + 6339, + 9585 + ], + [ + 362, + 3818 + ], + [ + 6494, + 7244 + ], + [ + 1726, + 4209 + ], + [ + 4659, + 8399 + ], + [ + 5891, + 8671 + ], + [ + 3874, + 11098 + ], + [ + 4927, + 9153 + ], + [ + 4748, + 7690 + ], + [ + 4147, + 5780 + ], + [ + 260, + 6924 + ], + [ + 320, + 6975 + ], + [ + 4989, + 6998 + ], + [ + 2862, + 10785 + ], + [ + 263, + 9824 + ], + [ + 6316, + 8261 + ], + [ + 7157, + 8877 + ], + [ + 4330, + 5083 + ], + [ + 3327, + 6391 + ], + [ + 6255, + 10237 + ], + [ + 8713, + 9438 + ], + [ + 1299, + 2987 + ], + [ + 6911, + 8821 + ], + [ + 8592, + 11363 + ], + [ + 1051, + 3639 + ], + [ + 1458, + 1519 + ], + [ + 1138, + 5513 + ], + [ + 3569, + 9307 + ], + [ + 1946, + 10907 + ], + [ + 3314, + 8034 + ], + [ + 2290, + 8465 + ], + [ + 4416, + 10869 + ], + [ + 4750, + 9991 + ], + [ + 8586, + 10013 + ], + [ + 319, + 6349 + ], + [ + 365, + 6694 + ], + [ + 2188, + 7407 + ], + [ + 1109, + 7377 + ], + [ + 9033, + 9951 + ], + [ + 5177, + 6244 + ], + [ + 4394, + 9016 + ], + [ + 6758, + 10834 + ], + [ + 416, + 6632 + ], + [ + 99, + 10897 + ], + [ + 5333, + 6757 + ], + [ + 3311, + 8086 + ], + [ + 3891, + 4231 + ], + [ + 7065, + 11516 + ], + [ + 7412, + 8591 + ], + [ + 2276, + 9856 + ], + [ + 4332, + 11521 + ], + [ + 2343, + 4662 + ], + [ + 1247, + 9189 + ], + [ + 3169, + 4246 + ], + [ + 2804, + 3559 + ], + [ + 2449, + 11504 + ], + [ + 6525, + 11013 + ], + [ + 1081, + 7207 + ], + [ + 2744, + 8389 + ], + [ + 303, + 4661 + ], + [ + 2851, + 9040 + ], + [ + 2519, + 3575 + ], + [ + 5132, + 9103 + ], + [ + 5465, + 8000 + ], + [ + 3161, + 6987 + ], + [ + 5062, + 6829 + ], + [ + 795, + 8506 + ], + [ + 55, + 7942 + ], + [ + 4930, + 7841 + ], + [ + 8161, + 9998 + ], + [ + 8109, + 9808 + ], + [ + 730, + 3543 + ], + [ + 7858, + 9408 + ], + [ + 102, + 3974 + ], + [ + 3651, + 10382 + ], + [ + 191, + 9681 + ], + [ + 1975, + 8938 + ], + [ + 227, + 2922 + ], + [ + 1591, + 5565 + ], + [ + 7157, + 10300 + ], + [ + 4734, + 4869 + ], + [ + 2984, + 10858 + ], + [ + 2999, + 5474 + ], + [ + 4924, + 10628 + ], + [ + 8599, + 9039 + ], + [ + 65, + 1059 + ], + [ + 8437, + 8711 + ], + [ + 150, + 9276 + ], + [ + 1855, + 3544 + ], + [ + 6689, + 8330 + ], + [ + 2422, + 5843 + ], + [ + 2570, + 5741 + ], + [ + 5780, + 8519 + ], + [ + 3848, + 7112 + ], + [ + 3005, + 5669 + ], + [ + 2258, + 3934 + ], + [ + 5272, + 7554 + ], + [ + 1536, + 3949 + ], + [ + 1730, + 4946 + ], + [ + 4118, + 7912 + ], + [ + 2561, + 4874 + ], + [ + 448, + 6839 + ], + [ + 1483, + 10704 + ], + [ + 9575, + 9671 + ], + [ + 444, + 2933 + ], + [ + 1202, + 8210 + ], + [ + 3838, + 8272 + ], + [ + 3186, + 4145 + ], + [ + 352, + 10514 + ], + [ + 4951, + 11296 + ], + [ + 4268, + 7856 + ], + [ + 4428, + 9269 + ], + [ + 6637, + 7766 + ], + [ + 1816, + 3939 + ], + [ + 219, + 3754 + ], + [ + 4608, + 7924 + ], + [ + 64, + 6849 + ], + [ + 781, + 5709 + ], + [ + 2004, + 6619 + ], + [ + 130, + 4436 + ], + [ + 1434, + 4022 + ], + [ + 1559, + 9386 + ], + [ + 5937, + 9233 + ], + [ + 560, + 6649 + ], + [ + 8335, + 9881 + ], + [ + 4779, + 6466 + ], + [ + 2863, + 8945 + ], + [ + 6839, + 10502 + ], + [ + 1739, + 5008 + ], + [ + 858, + 7245 + ], + [ + 641, + 3046 + ], + [ + 7043, + 8053 + ], + [ + 5494, + 5630 + ], + [ + 4437, + 9331 + ], + [ + 2874, + 8730 + ], + [ + 422, + 649 + ], + [ + 5766, + 6503 + ], + [ + 3183, + 10239 + ], + [ + 4055, + 6004 + ], + [ + 7881, + 8748 + ], + [ + 200, + 5151 + ], + [ + 5487, + 11225 + ], + [ + 5564, + 5995 + ], + [ + 3612, + 8817 + ], + [ + 584, + 1357 + ], + [ + 4139, + 10963 + ], + [ + 2732, + 5240 + ], + [ + 8332, + 9559 + ], + [ + 517, + 9180 + ], + [ + 4531, + 7811 + ], + [ + 6494, + 9285 + ], + [ + 8108, + 9851 + ], + [ + 4448, + 6056 + ], + [ + 1540, + 9278 + ], + [ + 667, + 9878 + ], + [ + 2754, + 6692 + ], + [ + 696, + 8364 + ], + [ + 859, + 10048 + ], + [ + 3125, + 8325 + ], + [ + 6203, + 9486 + ], + [ + 6860, + 7541 + ], + [ + 8606, + 10478 + ], + [ + 447, + 11043 + ], + [ + 4824, + 5030 + ], + [ + 2246, + 10608 + ], + [ + 4051, + 4326 + ], + [ + 7600, + 11488 + ], + [ + 2777, + 3828 + ], + [ + 5244, + 7279 + ], + [ + 2001, + 8525 + ], + [ + 6013, + 6329 + ], + [ + 223, + 6050 + ], + [ + 5604, + 11005 + ], + [ + 4613, + 7412 + ], + [ + 2517, + 6348 + ], + [ + 4046, + 10748 + ], + [ + 6852, + 7249 + ], + [ + 1281, + 2170 + ], + [ + 6260, + 9589 + ], + [ + 1967, + 5127 + ], + [ + 5940, + 7921 + ], + [ + 248, + 11183 + ], + [ + 1924, + 2047 + ], + [ + 1607, + 6312 + ], + [ + 8961, + 11177 + ], + [ + 2017, + 8627 + ], + [ + 5253, + 10374 + ], + [ + 797, + 4228 + ], + [ + 4532, + 7608 + ], + [ + 1228, + 6666 + ], + [ + 4867, + 10338 + ], + [ + 1820, + 4326 + ], + [ + 1078, + 10105 + ], + [ + 3382, + 5456 + ], + [ + 1500, + 2658 + ], + [ + 98, + 9330 + ], + [ + 6431, + 10760 + ], + [ + 2780, + 10491 + ], + [ + 2150, + 3679 + ], + [ + 2191, + 3680 + ], + [ + 197, + 641 + ], + [ + 8756, + 10371 + ], + [ + 4112, + 4928 + ], + [ + 2902, + 8387 + ], + [ + 4581, + 10102 + ], + [ + 1551, + 5979 + ], + [ + 3613, + 10842 + ], + [ + 6593, + 11468 + ], + [ + 1950, + 2463 + ], + [ + 957, + 8623 + ], + [ + 5840, + 9918 + ], + [ + 3968, + 7808 + ], + [ + 4914, + 6720 + ], + [ + 2886, + 9732 + ], + [ + 5152, + 8763 + ], + [ + 1272, + 6914 + ], + [ + 4474, + 9831 + ], + [ + 2359, + 10969 + ], + [ + 1363, + 6278 + ], + [ + 6151, + 10719 + ], + [ + 3324, + 6925 + ], + [ + 1077, + 6446 + ], + [ + 1815, + 9593 + ], + [ + 5094, + 8758 + ], + [ + 5051, + 5678 + ], + [ + 2124, + 11102 + ], + [ + 2664, + 8572 + ], + [ + 4183, + 5868 + ], + [ + 4518, + 7844 + ], + [ + 7697, + 9811 + ], + [ + 2582, + 8947 + ], + [ + 1878, + 4630 + ], + [ + 6640, + 7096 + ], + [ + 1189, + 7037 + ], + [ + 8680, + 10510 + ], + [ + 3482, + 3727 + ], + [ + 4576, + 8953 + ], + [ + 4229, + 8091 + ], + [ + 4568, + 8311 + ], + [ + 4850, + 11407 + ], + [ + 1118, + 5292 + ], + [ + 4509, + 4698 + ], + [ + 3881, + 5129 + ], + [ + 3410, + 8927 + ], + [ + 10354, + 11477 + ], + [ + 5435, + 11279 + ], + [ + 6243, + 9503 + ], + [ + 4595, + 10484 + ], + [ + 5514, + 6095 + ], + [ + 1286, + 9198 + ], + [ + 4767, + 5114 + ], + [ + 4612, + 7455 + ], + [ + 2626, + 5031 + ], + [ + 2316, + 10467 + ], + [ + 2595, + 3466 + ], + [ + 1251, + 3727 + ], + [ + 2380, + 11391 + ], + [ + 2750, + 10170 + ], + [ + 214, + 8834 + ], + [ + 5040, + 9595 + ], + [ + 1926, + 6525 + ], + [ + 6662, + 8524 + ], + [ + 5413, + 5639 + ], + [ + 3824, + 6069 + ], + [ + 3113, + 11161 + ], + [ + 1036, + 8619 + ], + [ + 4267, + 10022 + ], + [ + 587, + 4851 + ], + [ + 5814, + 10120 + ], + [ + 642, + 4558 + ], + [ + 2670, + 10591 + ], + [ + 836, + 5555 + ], + [ + 239, + 7551 + ], + [ + 3454, + 10673 + ], + [ + 7052, + 7174 + ], + [ + 3509, + 11511 + ], + [ + 3220, + 7244 + ], + [ + 2817, + 10237 + ], + [ + 691, + 1417 + ], + [ + 3262, + 10853 + ], + [ + 4193, + 7979 + ], + [ + 2388, + 7845 + ], + [ + 103, + 10292 + ], + [ + 2751, + 5453 + ], + [ + 9442, + 10563 + ], + [ + 1727, + 5884 + ], + [ + 4557, + 6943 + ], + [ + 787, + 10924 + ], + [ + 4896, + 6409 + ], + [ + 100, + 9994 + ], + [ + 156, + 11057 + ], + [ + 686, + 1423 + ], + [ + 11244, + 11530 + ], + [ + 8097, + 9074 + ], + [ + 248, + 1197 + ], + [ + 1237, + 1711 + ], + [ + 3022, + 10992 + ], + [ + 5321, + 5999 + ], + [ + 4610, + 6173 + ], + [ + 4471, + 9801 + ], + [ + 1706, + 6885 + ], + [ + 4694, + 11536 + ], + [ + 3085, + 8308 + ], + [ + 6720, + 8074 + ], + [ + 1259, + 3163 + ], + [ + 3911, + 11275 + ], + [ + 3593, + 6270 + ], + [ + 4816, + 7180 + ], + [ + 1519, + 7409 + ], + [ + 3411, + 10171 + ], + [ + 4058, + 7538 + ], + [ + 1503, + 9158 + ], + [ + 1420, + 6649 + ], + [ + 8299, + 9558 + ], + [ + 1535, + 4909 + ], + [ + 3188, + 5403 + ], + [ + 2756, + 5746 + ], + [ + 352, + 10945 + ], + [ + 135, + 5992 + ], + [ + 4204, + 4330 + ], + [ + 3022, + 3421 + ], + [ + 5945, + 6923 + ], + [ + 4140, + 6789 + ], + [ + 4578, + 10398 + ], + [ + 1278, + 6946 + ], + [ + 1532, + 7994 + ], + [ + 8684, + 11247 + ], + [ + 4174, + 9002 + ], + [ + 5041, + 10839 + ], + [ + 5072, + 10152 + ], + [ + 1218, + 3108 + ], + [ + 1989, + 2985 + ], + [ + 2853, + 5305 + ], + [ + 1146, + 1542 + ], + [ + 4822, + 9977 + ], + [ + 115, + 802 + ], + [ + 6529, + 7324 + ], + [ + 1654, + 5890 + ], + [ + 5596, + 9371 + ], + [ + 1835, + 2518 + ], + [ + 145, + 8558 + ], + [ + 3970, + 4284 + ], + [ + 5814, + 8510 + ], + [ + 1046, + 7727 + ], + [ + 2541, + 6881 + ], + [ + 4354, + 4624 + ], + [ + 1888, + 11197 + ], + [ + 8662, + 9394 + ], + [ + 6060, + 11168 + ], + [ + 1917, + 3267 + ], + [ + 368, + 7260 + ], + [ + 4023, + 4295 + ], + [ + 5652, + 6647 + ], + [ + 167, + 2840 + ], + [ + 544, + 3544 + ], + [ + 3276, + 3314 + ], + [ + 7792, + 9511 + ], + [ + 3098, + 11121 + ], + [ + 880, + 8374 + ], + [ + 8039, + 9388 + ], + [ + 6731, + 10060 + ], + [ + 8317, + 8578 + ], + [ + 3181, + 9843 + ], + [ + 2589, + 5767 + ], + [ + 1756, + 9176 + ], + [ + 856, + 7199 + ], + [ + 1314, + 2415 + ], + [ + 2530, + 8570 + ], + [ + 5075, + 7016 + ], + [ + 9407, + 10652 + ], + [ + 8321, + 9451 + ], + [ + 9959, + 11165 + ], + [ + 5071, + 9526 + ], + [ + 1624, + 6778 + ], + [ + 4074, + 7616 + ], + [ + 279, + 1152 + ], + [ + 36, + 7810 + ], + [ + 3795, + 5168 + ], + [ + 2850, + 9864 + ], + [ + 6346, + 6812 + ], + [ + 2550, + 10326 + ], + [ + 3663, + 8432 + ], + [ + 2412, + 9638 + ], + [ + 9571, + 10652 + ], + [ + 5094, + 10799 + ], + [ + 1606, + 11460 + ], + [ + 3158, + 11148 + ], + [ + 9414, + 10668 + ], + [ + 6855, + 7628 + ], + [ + 5898, + 9281 + ], + [ + 2257, + 3284 + ], + [ + 2418, + 10557 + ], + [ + 7788, + 11216 + ], + [ + 6041, + 8054 + ], + [ + 3021, + 11035 + ], + [ + 4461, + 10482 + ], + [ + 2215, + 6441 + ], + [ + 7526, + 9903 + ], + [ + 5948, + 8994 + ], + [ + 3511, + 7637 + ], + [ + 1778, + 3407 + ], + [ + 9900, + 10130 + ], + [ + 86, + 6368 + ], + [ + 2897, + 9629 + ], + [ + 9822, + 10247 + ], + [ + 5469, + 5734 + ], + [ + 3160, + 3623 + ], + [ + 2974, + 5153 + ], + [ + 7645, + 8255 + ], + [ + 3753, + 10553 + ], + [ + 6060, + 6175 + ], + [ + 3265, + 10964 + ], + [ + 2286, + 10414 + ], + [ + 8141, + 8836 + ], + [ + 8760, + 10571 + ], + [ + 3414, + 8054 + ], + [ + 2166, + 8777 + ], + [ + 5361, + 10523 + ], + [ + 1720, + 10942 + ], + [ + 6978, + 11360 + ], + [ + 4087, + 10779 + ], + [ + 3053, + 5604 + ], + [ + 5792, + 6545 + ], + [ + 821, + 10321 + ], + [ + 8670, + 11028 + ], + [ + 9243, + 10166 + ], + [ + 1249, + 8324 + ], + [ + 2990, + 10917 + ], + [ + 3525, + 8043 + ], + [ + 4679, + 11068 + ], + [ + 68, + 2355 + ], + [ + 3495, + 3670 + ], + [ + 5795, + 7947 + ], + [ + 492, + 10038 + ], + [ + 8814, + 11157 + ], + [ + 24, + 1302 + ], + [ + 4082, + 10031 + ], + [ + 1737, + 8263 + ], + [ + 2546, + 4460 + ], + [ + 4949, + 5452 + ], + [ + 7148, + 9677 + ], + [ + 8710, + 10053 + ], + [ + 7244, + 9385 + ], + [ + 3918, + 8876 + ], + [ + 3665, + 10682 + ], + [ + 9358, + 11028 + ], + [ + 8114, + 9241 + ], + [ + 4404, + 4605 + ], + [ + 1885, + 5882 + ], + [ + 4411, + 9159 + ], + [ + 1849, + 9608 + ], + [ + 1816, + 7216 + ], + [ + 2530, + 5805 + ], + [ + 5300, + 9065 + ], + [ + 6239, + 10216 + ], + [ + 2349, + 7679 + ], + [ + 2497, + 3413 + ], + [ + 6393, + 7650 + ], + [ + 779, + 5907 + ], + [ + 2341, + 6283 + ], + [ + 8220, + 9263 + ], + [ + 9508, + 11322 + ], + [ + 1344, + 4373 + ], + [ + 307, + 435 + ], + [ + 1558, + 9028 + ], + [ + 9362, + 10746 + ], + [ + 5250, + 9328 + ], + [ + 361, + 3300 + ], + [ + 4660, + 10960 + ], + [ + 3325, + 7557 + ], + [ + 395, + 2884 + ], + [ + 9613, + 11496 + ], + [ + 212, + 3177 + ], + [ + 2144, + 3086 + ], + [ + 3510, + 6556 + ], + [ + 1521, + 3861 + ], + [ + 5564, + 7394 + ], + [ + 7399, + 9622 + ], + [ + 83, + 4460 + ], + [ + 831, + 9049 + ], + [ + 2717, + 7859 + ], + [ + 456, + 6920 + ], + [ + 3040, + 6792 + ], + [ + 700, + 3116 + ], + [ + 9853, + 11333 + ], + [ + 6230, + 11577 + ], + [ + 7593, + 9114 + ], + [ + 191, + 4932 + ], + [ + 10681, + 10963 + ], + [ + 7515, + 7703 + ], + [ + 5182, + 7450 + ], + [ + 1999, + 2331 + ], + [ + 1029, + 5277 + ], + [ + 2214, + 4205 + ], + [ + 2253, + 9795 + ], + [ + 3497, + 5166 + ], + [ + 3149, + 10118 + ], + [ + 5976, + 7496 + ], + [ + 1375, + 9297 + ], + [ + 9771, + 10927 + ], + [ + 5206, + 8975 + ], + [ + 2028, + 10616 + ], + [ + 1595, + 10734 + ], + [ + 2294, + 8291 + ], + [ + 403, + 9137 + ], + [ + 6726, + 9879 + ], + [ + 5358, + 5582 + ], + [ + 1961, + 6361 + ], + [ + 8616, + 9562 + ], + [ + 1305, + 11160 + ], + [ + 4096, + 8127 + ], + [ + 4505, + 6834 + ], + [ + 671, + 6858 + ], + [ + 8802, + 11415 + ], + [ + 640, + 5293 + ], + [ + 9363, + 9762 + ], + [ + 4895, + 7019 + ], + [ + 540, + 8095 + ], + [ + 4034, + 10632 + ], + [ + 9206, + 9778 + ], + [ + 607, + 9317 + ], + [ + 4130, + 11094 + ], + [ + 2872, + 11129 + ], + [ + 3692, + 10868 + ], + [ + 4556, + 6772 + ], + [ + 450, + 8552 + ], + [ + 4646, + 6665 + ], + [ + 3123, + 4709 + ], + [ + 4148, + 5634 + ], + [ + 2842, + 2969 + ], + [ + 375, + 2901 + ], + [ + 3427, + 9257 + ], + [ + 6290, + 6292 + ], + [ + 3946, + 7378 + ], + [ + 1212, + 4529 + ], + [ + 804, + 2260 + ], + [ + 803, + 9205 + ], + [ + 2016, + 5263 + ], + [ + 5536, + 6769 + ], + [ + 4600, + 9299 + ], + [ + 732, + 10493 + ], + [ + 1076, + 3887 + ], + [ + 8610, + 10440 + ], + [ + 2297, + 4724 + ], + [ + 862, + 3369 + ], + [ + 7956, + 8869 + ], + [ + 5303, + 6948 + ], + [ + 5246, + 10578 + ], + [ + 7318, + 8612 + ], + [ + 3467, + 5249 + ], + [ + 9134, + 10036 + ], + [ + 7169, + 8489 + ], + [ + 3518, + 7466 + ], + [ + 6073, + 6600 + ], + [ + 3953, + 7394 + ], + [ + 5453, + 6892 + ], + [ + 2277, + 2944 + ], + [ + 375, + 11545 + ], + [ + 5387, + 8524 + ], + [ + 1901, + 4350 + ], + [ + 2706, + 7938 + ], + [ + 4113, + 4993 + ], + [ + 9827, + 10380 + ], + [ + 334, + 5478 + ], + [ + 4410, + 4987 + ], + [ + 1433, + 4632 + ], + [ + 6094, + 11210 + ], + [ + 7024, + 11117 + ], + [ + 7764, + 8675 + ], + [ + 585, + 6228 + ], + [ + 7703, + 10651 + ], + [ + 3627, + 4726 + ], + [ + 425, + 1809 + ], + [ + 951, + 7517 + ], + [ + 1316, + 2542 + ], + [ + 8913, + 10575 + ], + [ + 10038, + 10950 + ], + [ + 4840, + 10583 + ], + [ + 6270, + 9342 + ], + [ + 6638, + 8048 + ], + [ + 2226, + 8590 + ], + [ + 756, + 4016 + ], + [ + 7762, + 8198 + ], + [ + 73, + 4740 + ], + [ + 5237, + 11158 + ], + [ + 6538, + 7063 + ], + [ + 3081, + 10043 + ], + [ + 3867, + 10952 + ], + [ + 32, + 7368 + ], + [ + 1245, + 10596 + ], + [ + 1393, + 4078 + ], + [ + 1272, + 6003 + ], + [ + 7815, + 8209 + ], + [ + 220, + 4386 + ], + [ + 2269, + 11296 + ], + [ + 4452, + 10824 + ], + [ + 3069, + 5495 + ], + [ + 6933, + 10975 + ], + [ + 1824, + 9899 + ], + [ + 8486, + 10107 + ], + [ + 1734, + 4721 + ], + [ + 3843, + 5266 + ], + [ + 2793, + 6728 + ], + [ + 7053, + 8798 + ], + [ + 3623, + 9372 + ], + [ + 1572, + 10028 + ], + [ + 2379, + 4644 + ], + [ + 2630, + 8427 + ], + [ + 10059, + 11022 + ], + [ + 1848, + 1975 + ], + [ + 1720, + 2729 + ], + [ + 1775, + 2436 + ], + [ + 1291, + 6753 + ], + [ + 9159, + 10176 + ], + [ + 2177, + 10552 + ], + [ + 1750, + 4823 + ], + [ + 750, + 9812 + ], + [ + 1813, + 8555 + ], + [ + 3233, + 6626 + ], + [ + 2181, + 11425 + ], + [ + 126, + 10362 + ], + [ + 147, + 4823 + ], + [ + 2393, + 8083 + ], + [ + 2758, + 6518 + ], + [ + 1737, + 6466 + ], + [ + 7872, + 7911 + ], + [ + 4094, + 4861 + ], + [ + 2856, + 7026 + ], + [ + 6113, + 9650 + ], + [ + 449, + 8544 + ], + [ + 4057, + 5733 + ], + [ + 5985, + 8152 + ], + [ + 1943, + 7473 + ], + [ + 6695, + 10005 + ], + [ + 4026, + 9803 + ], + [ + 5867, + 9594 + ], + [ + 3652, + 11282 + ], + [ + 3872, + 7084 + ], + [ + 5797, + 11484 + ], + [ + 2399, + 5245 + ], + [ + 2409, + 5933 + ], + [ + 4308, + 9866 + ], + [ + 7009, + 8071 + ], + [ + 2346, + 4830 + ], + [ + 4703, + 10395 + ], + [ + 8787, + 9765 + ], + [ + 4078, + 10343 + ], + [ + 2242, + 10896 + ], + [ + 3890, + 10292 + ], + [ + 6794, + 9580 + ], + [ + 3826, + 6335 + ], + [ + 5817, + 9076 + ], + [ + 3007, + 9423 + ], + [ + 4031, + 6740 + ], + [ + 209, + 4115 + ], + [ + 1663, + 7432 + ], + [ + 1893, + 10338 + ], + [ + 7935, + 10838 + ], + [ + 6958, + 11115 + ], + [ + 10328, + 11142 + ], + [ + 6180, + 10067 + ], + [ + 1758, + 9921 + ], + [ + 6334, + 7501 + ], + [ + 4522, + 6196 + ], + [ + 231, + 2561 + ], + [ + 4219, + 6387 + ], + [ + 2469, + 5960 + ], + [ + 6515, + 9764 + ], + [ + 8564, + 10258 + ], + [ + 4118, + 5554 + ], + [ + 6081, + 10438 + ], + [ + 6633, + 10951 + ], + [ + 7254, + 10103 + ], + [ + 3235, + 4712 + ], + [ + 4704, + 9061 + ], + [ + 1590, + 1827 + ], + [ + 6543, + 8025 + ], + [ + 939, + 6970 + ], + [ + 3086, + 11005 + ], + [ + 3308, + 3470 + ], + [ + 4147, + 7423 + ], + [ + 1148, + 4865 + ], + [ + 5450, + 9790 + ], + [ + 9017, + 11142 + ], + [ + 4812, + 9533 + ], + [ + 3009, + 5308 + ], + [ + 684, + 3418 + ], + [ + 3910, + 4477 + ], + [ + 5501, + 9755 + ], + [ + 7954, + 10864 + ], + [ + 6493, + 10540 + ], + [ + 3624, + 7274 + ], + [ + 2722, + 8634 + ], + [ + 7489, + 9946 + ], + [ + 1384, + 4179 + ], + [ + 7478, + 11285 + ], + [ + 5613, + 6936 + ], + [ + 2712, + 4913 + ], + [ + 79, + 4368 + ], + [ + 695, + 6586 + ], + [ + 6582, + 10181 + ], + [ + 4899, + 10976 + ], + [ + 164, + 3917 + ], + [ + 964, + 4532 + ], + [ + 3229, + 9754 + ], + [ + 6167, + 8626 + ], + [ + 2676, + 5606 + ], + [ + 279, + 1396 + ], + [ + 1547, + 7741 + ], + [ + 1798, + 5108 + ], + [ + 4532, + 5705 + ], + [ + 7095, + 11116 + ], + [ + 490, + 5780 + ], + [ + 298, + 2577 + ], + [ + 4093, + 8260 + ], + [ + 958, + 4313 + ], + [ + 3781, + 4201 + ], + [ + 4405, + 7034 + ], + [ + 2349, + 3117 + ], + [ + 5528, + 10746 + ], + [ + 3840, + 4781 + ], + [ + 940, + 8618 + ], + [ + 3151, + 7188 + ], + [ + 8968, + 9290 + ], + [ + 3253, + 10848 + ], + [ + 7816, + 10475 + ], + [ + 3433, + 9503 + ], + [ + 2924, + 11346 + ], + [ + 1535, + 6926 + ], + [ + 3985, + 7764 + ], + [ + 5752, + 11578 + ], + [ + 1970, + 6854 + ], + [ + 5891, + 8704 + ], + [ + 967, + 7408 + ], + [ + 1828, + 9430 + ], + [ + 3352, + 7070 + ], + [ + 5812, + 9350 + ], + [ + 6008, + 7010 + ], + [ + 4439, + 4709 + ], + [ + 4886, + 6152 + ], + [ + 5161, + 8077 + ], + [ + 7890, + 8330 + ], + [ + 51, + 7557 + ], + [ + 5990, + 11342 + ], + [ + 5064, + 8144 + ], + [ + 1640, + 6346 + ], + [ + 3481, + 6891 + ], + [ + 6934, + 7175 + ], + [ + 7610, + 9444 + ], + [ + 5896, + 10926 + ], + [ + 5837, + 7313 + ], + [ + 2126, + 2829 + ], + [ + 1854, + 4585 + ], + [ + 945, + 2522 + ], + [ + 3188, + 6265 + ], + [ + 657, + 5273 + ], + [ + 5147, + 10249 + ], + [ + 4992, + 6928 + ], + [ + 8937, + 9172 + ], + [ + 4778, + 7908 + ], + [ + 1934, + 2255 + ], + [ + 5646, + 11101 + ], + [ + 5939, + 7216 + ], + [ + 1281, + 5073 + ], + [ + 1897, + 7291 + ], + [ + 7504, + 7863 + ], + [ + 4445, + 5254 + ], + [ + 2363, + 2368 + ], + [ + 163, + 11504 + ], + [ + 2869, + 3637 + ], + [ + 5125, + 8396 + ], + [ + 1983, + 5530 + ], + [ + 9713, + 9743 + ], + [ + 4947, + 9787 + ], + [ + 3111, + 9586 + ], + [ + 2925, + 11116 + ], + [ + 7118, + 11210 + ], + [ + 4857, + 6861 + ], + [ + 7780, + 10363 + ], + [ + 7023, + 7940 + ], + [ + 4959, + 9797 + ], + [ + 3219, + 3642 + ], + [ + 4471, + 10208 + ], + [ + 8227, + 9547 + ], + [ + 2444, + 11193 + ], + [ + 1355, + 6311 + ], + [ + 9190, + 9594 + ], + [ + 2292, + 7389 + ], + [ + 4842, + 5425 + ], + [ + 6821, + 7432 + ], + [ + 7949, + 11488 + ], + [ + 5480, + 5712 + ], + [ + 4862, + 6831 + ], + [ + 158, + 3589 + ], + [ + 1386, + 4843 + ], + [ + 1319, + 3621 + ], + [ + 6109, + 8135 + ], + [ + 7788, + 9850 + ], + [ + 5546, + 8961 + ], + [ + 3775, + 8411 + ], + [ + 3095, + 8652 + ], + [ + 7878, + 9743 + ], + [ + 1061, + 8466 + ], + [ + 2339, + 9083 + ], + [ + 4703, + 9403 + ], + [ + 6871, + 7145 + ], + [ + 25, + 966 + ], + [ + 3796, + 6255 + ], + [ + 7438, + 8690 + ], + [ + 776, + 9236 + ], + [ + 8742, + 9030 + ], + [ + 6629, + 10995 + ], + [ + 9588, + 9990 + ], + [ + 4827, + 10378 + ], + [ + 7442, + 9563 + ], + [ + 4600, + 4737 + ], + [ + 899, + 5105 + ], + [ + 4319, + 8659 + ], + [ + 1759, + 9935 + ], + [ + 6285, + 10404 + ], + [ + 1486, + 7302 + ], + [ + 5751, + 9716 + ], + [ + 2136, + 9104 + ], + [ + 3667, + 3751 + ], + [ + 3851, + 10476 + ], + [ + 305, + 3585 + ], + [ + 6048, + 6704 + ], + [ + 110, + 6527 + ], + [ + 1543, + 4803 + ], + [ + 1500, + 8139 + ], + [ + 4115, + 7324 + ], + [ + 10100, + 11454 + ], + [ + 3906, + 7150 + ], + [ + 1932, + 7769 + ], + [ + 6918, + 9943 + ], + [ + 4299, + 6852 + ], + [ + 7038, + 7793 + ], + [ + 6203, + 11129 + ], + [ + 1521, + 9366 + ], + [ + 10146, + 11048 + ], + [ + 4602, + 10044 + ], + [ + 932, + 8971 + ], + [ + 2618, + 7693 + ], + [ + 2210, + 10342 + ], + [ + 1489, + 10582 + ], + [ + 4911, + 10799 + ], + [ + 1148, + 3873 + ], + [ + 3381, + 6174 + ], + [ + 559, + 3478 + ], + [ + 6464, + 7679 + ], + [ + 5662, + 6237 + ], + [ + 8170, + 11217 + ], + [ + 1950, + 7944 + ], + [ + 4624, + 8490 + ], + [ + 5961, + 7058 + ], + [ + 556, + 9596 + ], + [ + 6936, + 10118 + ], + [ + 4758, + 5272 + ], + [ + 2820, + 5548 + ], + [ + 361, + 6122 + ], + [ + 9576, + 11053 + ], + [ + 6431, + 8670 + ], + [ + 868, + 7616 + ], + [ + 2513, + 4085 + ], + [ + 4844, + 9927 + ], + [ + 44, + 4725 + ], + [ + 5465, + 6073 + ], + [ + 3653, + 4768 + ], + [ + 7424, + 10057 + ], + [ + 8071, + 8178 + ], + [ + 7823, + 8076 + ], + [ + 9218, + 10032 + ], + [ + 2721, + 8171 + ], + [ + 4618, + 11277 + ], + [ + 1199, + 3407 + ], + [ + 1159, + 10424 + ], + [ + 7969, + 10530 + ], + [ + 1651, + 4470 + ], + [ + 6795, + 10236 + ], + [ + 1279, + 9028 + ], + [ + 1212, + 7806 + ], + [ + 1802, + 4639 + ], + [ + 6719, + 11180 + ], + [ + 4179, + 10826 + ], + [ + 4384, + 7848 + ], + [ + 3864, + 9502 + ], + [ + 7508, + 9354 + ], + [ + 1531, + 2833 + ], + [ + 3327, + 5887 + ], + [ + 6035, + 7515 + ], + [ + 8156, + 9575 + ], + [ + 6747, + 10195 + ], + [ + 10322, + 11408 + ], + [ + 1047, + 5645 + ], + [ + 455, + 1569 + ], + [ + 2700, + 6139 + ], + [ + 637, + 7467 + ], + [ + 2722, + 3454 + ], + [ + 7016, + 10770 + ], + [ + 6868, + 8620 + ], + [ + 9237, + 10782 + ], + [ + 3812, + 4774 + ], + [ + 8982, + 9509 + ], + [ + 1793, + 10538 + ], + [ + 7877, + 10540 + ], + [ + 1915, + 5051 + ], + [ + 9879, + 11188 + ], + [ + 5581, + 6382 + ], + [ + 4980, + 5226 + ], + [ + 2399, + 4871 + ], + [ + 1375, + 4548 + ], + [ + 3147, + 9460 + ], + [ + 1676, + 8448 + ], + [ + 5822, + 8696 + ], + [ + 9378, + 9859 + ], + [ + 8308, + 9945 + ], + [ + 6658, + 6716 + ], + [ + 5476, + 5807 + ], + [ + 9581, + 10218 + ], + [ + 9646, + 11367 + ], + [ + 3448, + 9573 + ], + [ + 6280, + 6541 + ], + [ + 7066, + 7450 + ], + [ + 6992, + 9221 + ], + [ + 5154, + 6695 + ], + [ + 1795, + 6046 + ], + [ + 3964, + 5144 + ], + [ + 6902, + 9678 + ], + [ + 2673, + 3511 + ], + [ + 80, + 5805 + ], + [ + 787, + 3223 + ], + [ + 7863, + 8898 + ], + [ + 10073, + 10249 + ], + [ + 5956, + 8487 + ], + [ + 135, + 8895 + ], + [ + 1009, + 5487 + ], + [ + 639, + 6708 + ], + [ + 11119, + 11297 + ], + [ + 3117, + 3178 + ], + [ + 7801, + 11403 + ], + [ + 1729, + 8028 + ], + [ + 4774, + 10961 + ], + [ + 7159, + 7240 + ], + [ + 8290, + 10813 + ], + [ + 97, + 3126 + ], + [ + 6788, + 8236 + ], + [ + 3080, + 6679 + ], + [ + 7757, + 11481 + ], + [ + 245, + 2243 + ], + [ + 1709, + 7002 + ], + [ + 8333, + 10136 + ], + [ + 4454, + 11141 + ], + [ + 4442, + 9626 + ], + [ + 6097, + 6783 + ], + [ + 21, + 6672 + ], + [ + 4754, + 8400 + ], + [ + 2724, + 5704 + ], + [ + 6643, + 7481 + ], + [ + 6302, + 7188 + ], + [ + 445, + 5687 + ], + [ + 6114, + 7137 + ], + [ + 8545, + 8679 + ], + [ + 4159, + 10442 + ], + [ + 7387, + 8164 + ], + [ + 3469, + 9995 + ], + [ + 5243, + 8564 + ], + [ + 5234, + 10730 + ], + [ + 1354, + 2465 + ], + [ + 1004, + 10754 + ], + [ + 1011, + 1345 + ], + [ + 2439, + 5693 + ], + [ + 6201, + 6732 + ], + [ + 36, + 7330 + ], + [ + 779, + 11575 + ], + [ + 1878, + 10729 + ], + [ + 1754, + 2557 + ], + [ + 7282, + 10218 + ], + [ + 3488, + 8143 + ], + [ + 8751, + 8905 + ], + [ + 5224, + 6228 + ], + [ + 1256, + 7942 + ], + [ + 6996, + 8134 + ], + [ + 1638, + 4102 + ], + [ + 844, + 2521 + ], + [ + 242, + 4173 + ], + [ + 2614, + 10770 + ], + [ + 723, + 4446 + ], + [ + 4797, + 7292 + ], + [ + 334, + 7145 + ], + [ + 423, + 10600 + ], + [ + 7282, + 10568 + ], + [ + 1116, + 1896 + ], + [ + 2476, + 7049 + ], + [ + 4031, + 4756 + ], + [ + 7578, + 10337 + ], + [ + 5393, + 10736 + ], + [ + 4188, + 8123 + ], + [ + 327, + 10488 + ], + [ + 692, + 4759 + ], + [ + 4902, + 7466 + ], + [ + 1318, + 7665 + ], + [ + 100, + 683 + ], + [ + 6115, + 7688 + ], + [ + 2632, + 8693 + ], + [ + 1254, + 3708 + ], + [ + 8012, + 10794 + ], + [ + 7692, + 11378 + ], + [ + 1902, + 4683 + ], + [ + 4928, + 5654 + ], + [ + 6209, + 9952 + ], + [ + 1560, + 4919 + ], + [ + 2895, + 6070 + ], + [ + 4237, + 4982 + ], + [ + 71, + 2547 + ], + [ + 4450, + 6029 + ], + [ + 7870, + 10337 + ], + [ + 4955, + 10860 + ], + [ + 2457, + 5844 + ], + [ + 590, + 11248 + ], + [ + 6158, + 6230 + ], + [ + 4552, + 9689 + ], + [ + 1204, + 6223 + ], + [ + 11236, + 11376 + ], + [ + 1804, + 4498 + ], + [ + 2227, + 6321 + ], + [ + 6714, + 7616 + ], + [ + 6712, + 10953 + ], + [ + 7873, + 10985 + ], + [ + 5008, + 10871 + ], + [ + 1239, + 5628 + ], + [ + 272, + 2429 + ], + [ + 1395, + 6141 + ], + [ + 1130, + 10596 + ], + [ + 6281, + 11117 + ], + [ + 4185, + 10053 + ], + [ + 8414, + 9804 + ], + [ + 6239, + 10891 + ], + [ + 3930, + 8780 + ], + [ + 1008, + 6634 + ], + [ + 1120, + 6875 + ], + [ + 8449, + 9990 + ], + [ + 5233, + 11147 + ], + [ + 5171, + 8017 + ], + [ + 1215, + 9364 + ], + [ + 6951, + 10538 + ], + [ + 1559, + 6922 + ], + [ + 683, + 9503 + ], + [ + 2087, + 9293 + ], + [ + 4926, + 8186 + ], + [ + 750, + 5063 + ], + [ + 6696, + 9265 + ], + [ + 9433, + 10133 + ], + [ + 6938, + 8798 + ], + [ + 2763, + 9283 + ], + [ + 7251, + 10426 + ], + [ + 10668, + 11053 + ], + [ + 1272, + 3832 + ], + [ + 5773, + 8243 + ], + [ + 6999, + 9424 + ], + [ + 7307, + 7325 + ], + [ + 77, + 1183 + ], + [ + 1078, + 6218 + ], + [ + 734, + 6408 + ], + [ + 5154, + 9891 + ], + [ + 8956, + 10329 + ], + [ + 5365, + 10111 + ], + [ + 4317, + 5984 + ], + [ + 136, + 8179 + ], + [ + 800, + 8159 + ], + [ + 1753, + 9016 + ], + [ + 4153, + 10491 + ], + [ + 6641, + 8403 + ], + [ + 7365, + 7680 + ], + [ + 2907, + 7877 + ], + [ + 6011, + 8007 + ], + [ + 8419, + 9343 + ], + [ + 3710, + 9921 + ], + [ + 3720, + 4947 + ], + [ + 798, + 10715 + ], + [ + 2782, + 10814 + ], + [ + 8977, + 11556 + ], + [ + 8853, + 9800 + ], + [ + 3371, + 7422 + ], + [ + 2645, + 7318 + ], + [ + 501, + 2800 + ], + [ + 2703, + 10706 + ], + [ + 4136, + 8982 + ], + [ + 872, + 5187 + ], + [ + 8217, + 8835 + ], + [ + 2515, + 11409 + ], + [ + 2214, + 8263 + ], + [ + 3327, + 7123 + ], + [ + 5505, + 9717 + ], + [ + 2050, + 2190 + ], + [ + 33, + 11033 + ], + [ + 592, + 6301 + ], + [ + 5822, + 11087 + ], + [ + 1669, + 3252 + ], + [ + 8127, + 9292 + ], + [ + 5870, + 7371 + ], + [ + 5276, + 7386 + ], + [ + 5439, + 8316 + ], + [ + 552, + 10285 + ], + [ + 795, + 3627 + ], + [ + 7642, + 8496 + ], + [ + 827, + 1630 + ], + [ + 4999, + 8017 + ], + [ + 9701, + 10432 + ], + [ + 9510, + 10864 + ], + [ + 8794, + 11448 + ], + [ + 105, + 1645 + ], + [ + 6087, + 6258 + ], + [ + 36, + 3760 + ], + [ + 569, + 10639 + ], + [ + 194, + 11516 + ], + [ + 2102, + 6113 + ], + [ + 9283, + 10858 + ], + [ + 2628, + 6159 + ], + [ + 2086, + 7862 + ], + [ + 7664, + 7696 + ], + [ + 3216, + 8581 + ], + [ + 95, + 4340 + ], + [ + 2376, + 4403 + ], + [ + 753, + 10167 + ], + [ + 8592, + 10940 + ], + [ + 249, + 1774 + ], + [ + 5147, + 8265 + ], + [ + 7292, + 11473 + ], + [ + 5570, + 6678 + ], + [ + 6910, + 8173 + ], + [ + 2653, + 10538 + ], + [ + 3851, + 5564 + ], + [ + 6171, + 11217 + ], + [ + 1720, + 6169 + ], + [ + 7038, + 10802 + ], + [ + 6410, + 7069 + ], + [ + 2337, + 5579 + ], + [ + 1055, + 6718 + ], + [ + 1746, + 10773 + ], + [ + 376, + 10567 + ], + [ + 5820, + 7203 + ], + [ + 3103, + 9993 + ], + [ + 54, + 8072 + ], + [ + 2454, + 3131 + ], + [ + 730, + 3925 + ], + [ + 3224, + 11451 + ], + [ + 704, + 6087 + ], + [ + 1634, + 10158 + ], + [ + 101, + 8268 + ], + [ + 1852, + 11549 + ], + [ + 1840, + 10034 + ], + [ + 4204, + 5436 + ], + [ + 6721, + 8250 + ], + [ + 5482, + 6053 + ], + [ + 7379, + 9159 + ], + [ + 1004, + 6729 + ], + [ + 4555, + 9800 + ], + [ + 5852, + 8969 + ], + [ + 4389, + 7818 + ], + [ + 1894, + 7237 + ], + [ + 3270, + 11395 + ], + [ + 6071, + 6798 + ], + [ + 2513, + 2556 + ], + [ + 3693, + 6802 + ], + [ + 3225, + 5236 + ], + [ + 2705, + 2726 + ], + [ + 8059, + 9268 + ], + [ + 52, + 805 + ], + [ + 8238, + 11485 + ], + [ + 1949, + 10327 + ], + [ + 3048, + 9481 + ], + [ + 8676, + 8678 + ], + [ + 3232, + 5626 + ], + [ + 1539, + 5733 + ], + [ + 2514, + 8793 + ], + [ + 1409, + 9824 + ], + [ + 2126, + 2268 + ], + [ + 2721, + 10025 + ], + [ + 1719, + 7771 + ], + [ + 7983, + 10562 + ], + [ + 3845, + 10175 + ], + [ + 5012, + 10052 + ], + [ + 8382, + 8581 + ], + [ + 4120, + 5684 + ], + [ + 808, + 4881 + ], + [ + 1778, + 8351 + ], + [ + 6260, + 8548 + ], + [ + 9384, + 10054 + ], + [ + 284, + 5635 + ], + [ + 11113, + 11132 + ], + [ + 869, + 2124 + ], + [ + 4707, + 8635 + ], + [ + 8217, + 9453 + ], + [ + 130, + 11584 + ], + [ + 8709, + 9915 + ], + [ + 4445, + 11109 + ], + [ + 5349, + 9041 + ], + [ + 8580, + 10444 + ], + [ + 2642, + 3851 + ], + [ + 5618, + 11151 + ], + [ + 2103, + 3573 + ], + [ + 4071, + 5391 + ], + [ + 9733, + 9834 + ], + [ + 3164, + 6407 + ], + [ + 1366, + 3280 + ], + [ + 7866, + 8822 + ], + [ + 3279, + 10329 + ], + [ + 1269, + 9763 + ], + [ + 5773, + 11439 + ], + [ + 8667, + 10039 + ], + [ + 1161, + 11169 + ], + [ + 4746, + 5156 + ], + [ + 2781, + 2855 + ], + [ + 230, + 11010 + ], + [ + 2405, + 3507 + ], + [ + 5426, + 8298 + ], + [ + 4201, + 6561 + ], + [ + 118, + 3629 + ], + [ + 6139, + 9668 + ], + [ + 3954, + 9313 + ], + [ + 8064, + 8406 + ], + [ + 2455, + 6253 + ], + [ + 3580, + 4376 + ], + [ + 2580, + 5201 + ], + [ + 811, + 11140 + ], + [ + 6380, + 9730 + ], + [ + 4317, + 11058 + ], + [ + 8114, + 11152 + ], + [ + 5218, + 9473 + ], + [ + 741, + 9620 + ], + [ + 5500, + 8405 + ], + [ + 7176, + 10603 + ], + [ + 3320, + 9148 + ], + [ + 2110, + 10355 + ], + [ + 9897, + 10938 + ], + [ + 4226, + 7907 + ], + [ + 2106, + 6449 + ], + [ + 6767, + 8863 + ], + [ + 1849, + 5103 + ], + [ + 6086, + 8879 + ], + [ + 6218, + 11250 + ], + [ + 6961, + 9079 + ], + [ + 3934, + 10889 + ], + [ + 6353, + 10162 + ], + [ + 6733, + 10383 + ], + [ + 3335, + 3390 + ], + [ + 597, + 5303 + ], + [ + 4149, + 9730 + ], + [ + 5613, + 9571 + ], + [ + 11050, + 11452 + ], + [ + 586, + 4390 + ], + [ + 2987, + 9473 + ], + [ + 4513, + 10192 + ], + [ + 4262, + 6409 + ], + [ + 5263, + 9192 + ], + [ + 3174, + 11551 + ], + [ + 1777, + 6516 + ], + [ + 932, + 1994 + ], + [ + 493, + 1166 + ], + [ + 6351, + 9685 + ], + [ + 2733, + 5392 + ], + [ + 4033, + 10494 + ], + [ + 2923, + 4735 + ], + [ + 891, + 5376 + ], + [ + 5932, + 7257 + ], + [ + 8332, + 9486 + ], + [ + 6408, + 7186 + ], + [ + 9290, + 10687 + ], + [ + 388, + 591 + ], + [ + 549, + 5612 + ], + [ + 3441, + 9801 + ], + [ + 3575, + 5829 + ], + [ + 6493, + 8987 + ], + [ + 4303, + 9042 + ], + [ + 7888, + 10943 + ], + [ + 4053, + 8113 + ], + [ + 7785, + 7812 + ], + [ + 1663, + 5074 + ], + [ + 7444, + 7519 + ], + [ + 9078, + 10215 + ], + [ + 2311, + 6049 + ], + [ + 8575, + 8840 + ], + [ + 5705, + 11388 + ], + [ + 8353, + 10713 + ], + [ + 411, + 8307 + ], + [ + 5213, + 8674 + ], + [ + 1617, + 8112 + ], + [ + 6551, + 10096 + ], + [ + 5985, + 11405 + ], + [ + 220, + 8712 + ], + [ + 6259, + 9695 + ], + [ + 7907, + 9091 + ], + [ + 2298, + 7692 + ], + [ + 6188, + 10983 + ], + [ + 10269, + 10836 + ], + [ + 5314, + 7975 + ], + [ + 6936, + 8402 + ], + [ + 7159, + 8639 + ], + [ + 3444, + 5911 + ], + [ + 4293, + 10552 + ], + [ + 4537, + 10912 + ], + [ + 6244, + 8259 + ], + [ + 237, + 6033 + ], + [ + 3227, + 4341 + ], + [ + 9732, + 10981 + ], + [ + 5216, + 10419 + ], + [ + 4068, + 8340 + ], + [ + 546, + 3755 + ], + [ + 293, + 4063 + ], + [ + 224, + 8430 + ], + [ + 2774, + 6466 + ], + [ + 7259, + 11098 + ], + [ + 3499, + 9351 + ], + [ + 2004, + 3781 + ], + [ + 1284, + 11039 + ], + [ + 725, + 2939 + ], + [ + 3705, + 6975 + ], + [ + 2218, + 7682 + ], + [ + 1967, + 3899 + ], + [ + 1375, + 3987 + ], + [ + 3613, + 7386 + ], + [ + 905, + 1594 + ], + [ + 6691, + 8547 + ], + [ + 2673, + 9016 + ], + [ + 2334, + 2380 + ], + [ + 1093, + 10690 + ], + [ + 1714, + 7590 + ], + [ + 124, + 4412 + ], + [ + 898, + 10222 + ], + [ + 4017, + 11384 + ], + [ + 8206, + 8326 + ], + [ + 10231, + 10678 + ], + [ + 3887, + 9059 + ], + [ + 5026, + 6888 + ], + [ + 6249, + 7798 + ], + [ + 9764, + 11212 + ], + [ + 2293, + 9145 + ], + [ + 1959, + 10023 + ], + [ + 951, + 10233 + ], + [ + 3320, + 6733 + ], + [ + 5837, + 8793 + ], + [ + 6546, + 7792 + ], + [ + 6709, + 9476 + ], + [ + 3029, + 3551 + ], + [ + 5432, + 10959 + ], + [ + 1485, + 7888 + ], + [ + 2849, + 8279 + ], + [ + 1202, + 10983 + ], + [ + 168, + 10726 + ], + [ + 455, + 10002 + ], + [ + 2315, + 7591 + ], + [ + 4591, + 7310 + ], + [ + 4421, + 5209 + ], + [ + 8593, + 10842 + ], + [ + 2409, + 7226 + ], + [ + 3186, + 10301 + ], + [ + 1003, + 4357 + ], + [ + 402, + 9617 + ], + [ + 10644, + 11382 + ], + [ + 5322, + 7007 + ], + [ + 2925, + 9213 + ], + [ + 4633, + 9414 + ], + [ + 1374, + 5963 + ], + [ + 428, + 1389 + ], + [ + 3509, + 5477 + ], + [ + 2830, + 9326 + ], + [ + 3544, + 7915 + ], + [ + 4105, + 6262 + ], + [ + 3227, + 5764 + ], + [ + 4813, + 11452 + ], + [ + 5739, + 8234 + ], + [ + 5993, + 11534 + ], + [ + 1860, + 2823 + ], + [ + 6670, + 8743 + ], + [ + 6148, + 10324 + ], + [ + 2473, + 4743 + ], + [ + 3942, + 4928 + ], + [ + 9031, + 10263 + ], + [ + 1567, + 9367 + ], + [ + 3210, + 4255 + ], + [ + 4113, + 5749 + ], + [ + 601, + 9022 + ], + [ + 3053, + 6523 + ], + [ + 7329, + 10227 + ], + [ + 6985, + 10417 + ], + [ + 5149, + 10970 + ], + [ + 1180, + 4942 + ], + [ + 121, + 2154 + ], + [ + 6576, + 8677 + ], + [ + 2058, + 2407 + ], + [ + 721, + 3839 + ], + [ + 4599, + 9779 + ], + [ + 1151, + 3423 + ], + [ + 3484, + 3676 + ], + [ + 5698, + 8933 + ], + [ + 2892, + 6016 + ], + [ + 6596, + 10083 + ], + [ + 4483, + 5632 + ], + [ + 990, + 8201 + ], + [ + 5415, + 5612 + ], + [ + 4971, + 8604 + ], + [ + 954, + 9675 + ], + [ + 2542, + 4856 + ], + [ + 9233, + 9966 + ], + [ + 7863, + 9760 + ], + [ + 3353, + 7515 + ], + [ + 6080, + 6941 + ], + [ + 6613, + 7404 + ], + [ + 5780, + 6649 + ], + [ + 6669, + 10719 + ], + [ + 2156, + 8203 + ], + [ + 106, + 8238 + ], + [ + 2840, + 4671 + ], + [ + 7258, + 7327 + ], + [ + 7418, + 9494 + ], + [ + 6568, + 6880 + ], + [ + 2739, + 7248 + ], + [ + 1526, + 4774 + ], + [ + 2279, + 9707 + ], + [ + 596, + 4840 + ], + [ + 3679, + 5591 + ], + [ + 3335, + 5781 + ], + [ + 4326, + 9374 + ], + [ + 2638, + 10579 + ], + [ + 6725, + 11378 + ], + [ + 4129, + 5827 + ], + [ + 796, + 4147 + ], + [ + 592, + 10733 + ], + [ + 709, + 11318 + ], + [ + 269, + 5384 + ], + [ + 6373, + 6762 + ], + [ + 10915, + 11174 + ], + [ + 10631, + 11415 + ], + [ + 6622, + 7466 + ], + [ + 4466, + 6351 + ], + [ + 1828, + 5462 + ], + [ + 507, + 1011 + ], + [ + 1852, + 10020 + ], + [ + 3106, + 6079 + ], + [ + 670, + 2695 + ], + [ + 3443, + 9636 + ], + [ + 9035, + 9176 + ], + [ + 5437, + 5505 + ], + [ + 7235, + 9386 + ], + [ + 4587, + 7809 + ], + [ + 5079, + 7517 + ], + [ + 2012, + 4236 + ], + [ + 2163, + 10821 + ], + [ + 4496, + 11074 + ], + [ + 9538, + 10147 + ], + [ + 5178, + 10879 + ], + [ + 4269, + 8816 + ], + [ + 9649, + 10917 + ], + [ + 3326, + 3759 + ], + [ + 3761, + 10103 + ], + [ + 4296, + 7229 + ], + [ + 1686, + 1972 + ], + [ + 3417, + 3877 + ], + [ + 4628, + 9688 + ], + [ + 2018, + 4431 + ], + [ + 11021, + 11169 + ], + [ + 8680, + 11055 + ], + [ + 4980, + 7861 + ], + [ + 4978, + 7034 + ], + [ + 3323, + 3461 + ], + [ + 10580, + 11426 + ], + [ + 5074, + 6742 + ], + [ + 2361, + 4770 + ], + [ + 308, + 370 + ], + [ + 3976, + 4780 + ], + [ + 648, + 7608 + ], + [ + 1668, + 9687 + ], + [ + 3326, + 10525 + ], + [ + 8800, + 9255 + ], + [ + 4839, + 10258 + ], + [ + 302, + 3184 + ], + [ + 1479, + 3749 + ], + [ + 2282, + 8045 + ], + [ + 726, + 10867 + ], + [ + 5584, + 8133 + ], + [ + 7944, + 10209 + ], + [ + 855, + 10688 + ], + [ + 3525, + 9580 + ], + [ + 404, + 6093 + ], + [ + 567, + 7023 + ], + [ + 2681, + 8666 + ], + [ + 5542, + 11290 + ], + [ + 4021, + 10915 + ], + [ + 2741, + 6465 + ], + [ + 9308, + 9819 + ], + [ + 7899, + 9685 + ], + [ + 1736, + 6946 + ], + [ + 4972, + 8693 + ], + [ + 6477, + 9289 + ], + [ + 529, + 7670 + ], + [ + 5078, + 9843 + ], + [ + 2637, + 5361 + ], + [ + 3975, + 10166 + ], + [ + 3037, + 9617 + ], + [ + 2383, + 4663 + ], + [ + 7608, + 9105 + ], + [ + 1269, + 8584 + ], + [ + 5123, + 9212 + ], + [ + 2253, + 2338 + ], + [ + 1915, + 5726 + ], + [ + 301, + 5160 + ], + [ + 5046, + 9931 + ], + [ + 1539, + 7132 + ], + [ + 10119, + 10569 + ], + [ + 663, + 3297 + ], + [ + 4831, + 5778 + ], + [ + 3699, + 4232 + ], + [ + 5474, + 5655 + ], + [ + 341, + 4185 + ], + [ + 7966, + 10102 + ], + [ + 7274, + 8828 + ], + [ + 4760, + 10449 + ], + [ + 2827, + 11069 + ], + [ + 3223, + 4653 + ], + [ + 7333, + 9408 + ], + [ + 3040, + 4946 + ], + [ + 8637, + 9748 + ], + [ + 4292, + 5096 + ], + [ + 6398, + 8376 + ], + [ + 2702, + 9088 + ], + [ + 2141, + 10741 + ], + [ + 4650, + 8776 + ], + [ + 2281, + 9997 + ], + [ + 1099, + 2672 + ], + [ + 4897, + 5620 + ], + [ + 4111, + 5465 + ], + [ + 4439, + 4742 + ], + [ + 10528, + 11504 + ], + [ + 2936, + 11362 + ], + [ + 284, + 5879 + ], + [ + 688, + 3488 + ], + [ + 7103, + 7202 + ], + [ + 1890, + 5803 + ], + [ + 1750, + 9930 + ], + [ + 5475, + 8458 + ], + [ + 339, + 6717 + ], + [ + 2011, + 7261 + ], + [ + 2551, + 4731 + ], + [ + 4693, + 7668 + ], + [ + 6152, + 11329 + ], + [ + 1450, + 2498 + ], + [ + 140, + 8759 + ], + [ + 119, + 7882 + ], + [ + 7273, + 8552 + ], + [ + 9363, + 11299 + ], + [ + 3260, + 6359 + ], + [ + 794, + 6516 + ], + [ + 6575, + 6709 + ], + [ + 6826, + 10492 + ], + [ + 5150, + 6042 + ], + [ + 8756, + 9574 + ], + [ + 1321, + 7164 + ], + [ + 9160, + 10566 + ], + [ + 2813, + 6020 + ], + [ + 4113, + 10368 + ], + [ + 1059, + 8103 + ], + [ + 6850, + 8984 + ], + [ + 690, + 3510 + ], + [ + 1560, + 9782 + ], + [ + 9216, + 10848 + ], + [ + 687, + 3212 + ], + [ + 2705, + 4393 + ], + [ + 179, + 10915 + ], + [ + 5812, + 10456 + ], + [ + 2639, + 6025 + ], + [ + 857, + 10978 + ], + [ + 7235, + 11427 + ], + [ + 1793, + 2032 + ], + [ + 79, + 3514 + ], + [ + 8069, + 8620 + ], + [ + 4125, + 11482 + ], + [ + 4495, + 10261 + ], + [ + 5716, + 10344 + ], + [ + 3304, + 5102 + ], + [ + 883, + 2750 + ], + [ + 6739, + 10442 + ], + [ + 951, + 6826 + ], + [ + 2940, + 3105 + ], + [ + 9872, + 11310 + ], + [ + 3961, + 6540 + ], + [ + 807, + 7077 + ], + [ + 5944, + 9420 + ], + [ + 2714, + 10871 + ], + [ + 2523, + 4887 + ], + [ + 4398, + 6514 + ], + [ + 1181, + 2565 + ], + [ + 1841, + 10717 + ], + [ + 2237, + 4301 + ], + [ + 1311, + 7519 + ], + [ + 370, + 9705 + ], + [ + 1057, + 9854 + ], + [ + 4037, + 7474 + ], + [ + 6679, + 9236 + ], + [ + 1547, + 10620 + ], + [ + 5618, + 9785 + ], + [ + 5628, + 10473 + ], + [ + 6806, + 7476 + ], + [ + 6641, + 9883 + ], + [ + 4996, + 6998 + ], + [ + 789, + 10978 + ], + [ + 1408, + 4045 + ], + [ + 2244, + 4317 + ], + [ + 7572, + 10392 + ], + [ + 1593, + 3798 + ], + [ + 3874, + 10277 + ], + [ + 223, + 9254 + ], + [ + 2057, + 7874 + ], + [ + 3213, + 7562 + ], + [ + 3268, + 8023 + ], + [ + 6239, + 8533 + ], + [ + 2932, + 8074 + ], + [ + 5265, + 8327 + ], + [ + 4324, + 10513 + ], + [ + 4833, + 5664 + ], + [ + 3644, + 10000 + ], + [ + 2128, + 9969 + ], + [ + 6567, + 7840 + ], + [ + 5753, + 11299 + ], + [ + 1898, + 10446 + ], + [ + 4487, + 8410 + ], + [ + 8735, + 8965 + ], + [ + 1054, + 9532 + ], + [ + 4011, + 5448 + ], + [ + 2925, + 11417 + ], + [ + 6492, + 8605 + ], + [ + 1571, + 10990 + ], + [ + 3344, + 5924 + ], + [ + 7089, + 9992 + ], + [ + 1542, + 9471 + ], + [ + 3872, + 6043 + ], + [ + 6963, + 11573 + ], + [ + 1139, + 1884 + ], + [ + 4836, + 11196 + ], + [ + 9003, + 10069 + ], + [ + 2819, + 6453 + ], + [ + 4806, + 6069 + ], + [ + 8629, + 11548 + ], + [ + 2872, + 3835 + ], + [ + 879, + 3650 + ], + [ + 1068, + 6555 + ], + [ + 466, + 8207 + ], + [ + 6720, + 10310 + ], + [ + 9397, + 10373 + ], + [ + 5584, + 6336 + ], + [ + 3423, + 10539 + ], + [ + 131, + 8860 + ], + [ + 5202, + 6419 + ], + [ + 5666, + 11249 + ], + [ + 3882, + 5576 + ], + [ + 1495, + 8470 + ], + [ + 1676, + 5098 + ], + [ + 6958, + 10074 + ], + [ + 86, + 1920 + ], + [ + 2887, + 4493 + ], + [ + 3353, + 5986 + ], + [ + 4075, + 8600 + ], + [ + 5759, + 10659 + ], + [ + 5470, + 10556 + ], + [ + 152, + 3671 + ], + [ + 3916, + 7789 + ], + [ + 7268, + 8021 + ], + [ + 2696, + 4144 + ], + [ + 2694, + 3317 + ], + [ + 7026, + 11117 + ], + [ + 10717, + 10815 + ], + [ + 9513, + 11056 + ], + [ + 8331, + 10147 + ], + [ + 5337, + 7933 + ], + [ + 3964, + 8210 + ], + [ + 3783, + 5166 + ], + [ + 667, + 2023 + ], + [ + 507, + 4020 + ], + [ + 3991, + 5869 + ], + [ + 5326, + 7774 + ], + [ + 6487, + 7806 + ], + [ + 4897, + 11044 + ], + [ + 661, + 7870 + ], + [ + 2376, + 11494 + ], + [ + 2025, + 10513 + ], + [ + 1746, + 11098 + ], + [ + 817, + 1967 + ], + [ + 3611, + 9785 + ], + [ + 8619, + 9274 + ], + [ + 8722, + 10153 + ], + [ + 1967, + 9754 + ], + [ + 59, + 2325 + ], + [ + 4259, + 6973 + ], + [ + 768, + 3953 + ], + [ + 372, + 3953 + ], + [ + 5188, + 7436 + ], + [ + 4143, + 9242 + ], + [ + 1459, + 5756 + ], + [ + 2334, + 5202 + ], + [ + 2537, + 5561 + ], + [ + 2131, + 4873 + ], + [ + 3011, + 4663 + ], + [ + 10201, + 11406 + ], + [ + 9394, + 9620 + ], + [ + 8391, + 10928 + ], + [ + 8764, + 9224 + ], + [ + 1254, + 7229 + ], + [ + 323, + 3687 + ], + [ + 584, + 8912 + ], + [ + 2497, + 5381 + ], + [ + 4188, + 8611 + ], + [ + 7, + 5144 + ], + [ + 4864, + 5218 + ], + [ + 7893, + 9116 + ], + [ + 4863, + 4993 + ], + [ + 1103, + 10416 + ], + [ + 6382, + 8705 + ], + [ + 1246, + 3554 + ], + [ + 6939, + 10316 + ], + [ + 3899, + 8858 + ], + [ + 5565, + 6204 + ], + [ + 5043, + 7031 + ], + [ + 2708, + 10115 + ], + [ + 1588, + 3668 + ], + [ + 2448, + 2836 + ], + [ + 4130, + 10484 + ], + [ + 5470, + 5563 + ], + [ + 2269, + 10418 + ], + [ + 8399, + 10765 + ], + [ + 2733, + 8832 + ], + [ + 548, + 2061 + ], + [ + 6585, + 8633 + ], + [ + 5243, + 10475 + ], + [ + 1136, + 5237 + ], + [ + 5093, + 6744 + ], + [ + 2326, + 3755 + ], + [ + 757, + 6372 + ], + [ + 1641, + 3652 + ], + [ + 3492, + 9823 + ], + [ + 3662, + 8514 + ], + [ + 2943, + 3165 + ], + [ + 1138, + 8693 + ], + [ + 6984, + 10035 + ], + [ + 2588, + 4694 + ], + [ + 3312, + 3971 + ], + [ + 196, + 7244 + ], + [ + 1933, + 5931 + ], + [ + 1556, + 3729 + ], + [ + 1489, + 2507 + ], + [ + 6703, + 6760 + ], + [ + 10860, + 11361 + ], + [ + 10402, + 10483 + ], + [ + 5760, + 5867 + ], + [ + 120, + 5155 + ], + [ + 490, + 3934 + ], + [ + 2091, + 10654 + ], + [ + 7430, + 9748 + ], + [ + 1978, + 5300 + ], + [ + 424, + 8949 + ], + [ + 7898, + 9035 + ], + [ + 1262, + 3632 + ], + [ + 4195, + 7822 + ], + [ + 5165, + 11292 + ], + [ + 7806, + 9446 + ], + [ + 1672, + 5193 + ], + [ + 6085, + 9757 + ], + [ + 4785, + 8038 + ], + [ + 5714, + 8501 + ], + [ + 6242, + 10872 + ], + [ + 2870, + 10018 + ], + [ + 1973, + 5306 + ], + [ + 3905, + 7467 + ], + [ + 2372, + 4823 + ], + [ + 1040, + 7353 + ], + [ + 3306, + 6384 + ], + [ + 4711, + 9028 + ], + [ + 4140, + 9993 + ], + [ + 2842, + 4937 + ], + [ + 903, + 8021 + ], + [ + 3712, + 10455 + ], + [ + 6663, + 9589 + ], + [ + 6764, + 10395 + ], + [ + 2154, + 10198 + ], + [ + 879, + 6846 + ], + [ + 2059, + 6928 + ], + [ + 2671, + 5994 + ], + [ + 3646, + 9054 + ], + [ + 7743, + 9440 + ], + [ + 2392, + 6579 + ], + [ + 2617, + 9141 + ], + [ + 2087, + 5943 + ], + [ + 1113, + 5737 + ], + [ + 1739, + 8643 + ], + [ + 3845, + 5507 + ], + [ + 3237, + 8068 + ], + [ + 4823, + 6586 + ], + [ + 859, + 8072 + ], + [ + 1762, + 9566 + ], + [ + 2194, + 9223 + ], + [ + 4821, + 9923 + ], + [ + 554, + 1020 + ], + [ + 4525, + 8649 + ], + [ + 6868, + 10344 + ], + [ + 4094, + 9594 + ], + [ + 1162, + 2596 + ], + [ + 8047, + 10201 + ], + [ + 199, + 5932 + ], + [ + 3466, + 9244 + ], + [ + 1004, + 11055 + ], + [ + 1101, + 7955 + ], + [ + 5614, + 7465 + ], + [ + 507, + 7216 + ], + [ + 314, + 7575 + ], + [ + 3053, + 4352 + ], + [ + 5074, + 9214 + ], + [ + 8131, + 9498 + ], + [ + 8344, + 10545 + ], + [ + 2052, + 9116 + ], + [ + 6868, + 9189 + ], + [ + 4380, + 4861 + ], + [ + 1369, + 5676 + ], + [ + 5133, + 9794 + ], + [ + 152, + 5712 + ], + [ + 2731, + 5240 + ], + [ + 7364, + 9770 + ], + [ + 5848, + 9739 + ], + [ + 5779, + 7690 + ], + [ + 1799, + 8643 + ], + [ + 6408, + 7861 + ], + [ + 4317, + 7895 + ], + [ + 3821, + 9943 + ], + [ + 5113, + 8768 + ], + [ + 295, + 2206 + ], + [ + 324, + 7108 + ], + [ + 909, + 10013 + ], + [ + 6208, + 10432 + ], + [ + 167, + 8622 + ], + [ + 1039, + 2889 + ], + [ + 4650, + 10175 + ], + [ + 3585, + 10605 + ], + [ + 5887, + 10791 + ], + [ + 97, + 4850 + ], + [ + 3493, + 11016 + ], + [ + 7003, + 7670 + ], + [ + 3616, + 9137 + ], + [ + 6942, + 7394 + ], + [ + 2900, + 6715 + ], + [ + 7155, + 8441 + ], + [ + 6287, + 8631 + ], + [ + 3704, + 8203 + ], + [ + 490, + 7935 + ], + [ + 1859, + 2254 + ], + [ + 984, + 7689 + ], + [ + 5846, + 8107 + ], + [ + 1297, + 6688 + ], + [ + 5751, + 11253 + ], + [ + 2764, + 3794 + ], + [ + 3158, + 7131 + ], + [ + 2106, + 5514 + ], + [ + 5390, + 6551 + ], + [ + 4242, + 10888 + ], + [ + 5395, + 6895 + ], + [ + 479, + 3208 + ], + [ + 3875, + 9374 + ], + [ + 2034, + 9583 + ], + [ + 2908, + 10339 + ], + [ + 1232, + 8141 + ], + [ + 5349, + 6146 + ], + [ + 215, + 1822 + ], + [ + 10113, + 10193 + ], + [ + 3053, + 9158 + ], + [ + 4817, + 7039 + ], + [ + 1401, + 9266 + ], + [ + 1580, + 5067 + ], + [ + 2147, + 6612 + ], + [ + 717, + 6355 + ], + [ + 1322, + 3496 + ], + [ + 5103, + 9473 + ], + [ + 8212, + 9947 + ], + [ + 922, + 6006 + ], + [ + 3265, + 6947 + ], + [ + 2826, + 10283 + ], + [ + 5339, + 9191 + ], + [ + 10029, + 10091 + ], + [ + 506, + 1597 + ], + [ + 517, + 5139 + ], + [ + 1035, + 6822 + ], + [ + 2819, + 6079 + ], + [ + 7516, + 8150 + ], + [ + 8132, + 10368 + ], + [ + 10434, + 11308 + ], + [ + 1535, + 11309 + ], + [ + 6817, + 9869 + ], + [ + 561, + 4687 + ], + [ + 6517, + 9577 + ], + [ + 1271, + 6540 + ], + [ + 2551, + 3820 + ], + [ + 1783, + 8378 + ], + [ + 1907, + 3718 + ], + [ + 307, + 7022 + ], + [ + 28, + 7607 + ], + [ + 10516, + 10559 + ], + [ + 1839, + 2271 + ], + [ + 810, + 4610 + ], + [ + 1625, + 10421 + ], + [ + 6035, + 9052 + ], + [ + 274, + 8013 + ], + [ + 3672, + 7836 + ], + [ + 3973, + 10982 + ], + [ + 895, + 4159 + ], + [ + 215, + 10816 + ], + [ + 7534, + 9079 + ], + [ + 244, + 2886 + ], + [ + 1823, + 7403 + ], + [ + 3951, + 6470 + ], + [ + 10100, + 11031 + ], + [ + 3415, + 9873 + ], + [ + 1734, + 11495 + ], + [ + 8055, + 11410 + ], + [ + 1047, + 10565 + ], + [ + 419, + 10996 + ], + [ + 5739, + 5876 + ], + [ + 1599, + 11078 + ], + [ + 2509, + 7327 + ], + [ + 2693, + 9888 + ], + [ + 2996, + 7445 + ], + [ + 6588, + 10517 + ], + [ + 6337, + 6734 + ], + [ + 5184, + 11481 + ], + [ + 4095, + 6599 + ], + [ + 387, + 11458 + ], + [ + 3940, + 8940 + ], + [ + 6956, + 9223 + ], + [ + 9750, + 9871 + ], + [ + 3246, + 11003 + ], + [ + 5615, + 7503 + ], + [ + 5393, + 8622 + ], + [ + 2406, + 3415 + ], + [ + 3679, + 10104 + ], + [ + 3459, + 5634 + ], + [ + 7692, + 9264 + ], + [ + 7728, + 8921 + ], + [ + 5075, + 7000 + ], + [ + 5352, + 5588 + ], + [ + 4209, + 10269 + ], + [ + 718, + 7249 + ], + [ + 1962, + 2620 + ], + [ + 4076, + 4263 + ], + [ + 906, + 3513 + ], + [ + 2515, + 4489 + ], + [ + 3261, + 8251 + ], + [ + 298, + 5350 + ], + [ + 3262, + 4689 + ], + [ + 170, + 6104 + ], + [ + 1732, + 6480 + ], + [ + 3447, + 7852 + ], + [ + 8298, + 9609 + ], + [ + 765, + 4412 + ], + [ + 2064, + 5906 + ], + [ + 9159, + 9379 + ], + [ + 819, + 6900 + ], + [ + 879, + 4699 + ], + [ + 2183, + 7291 + ], + [ + 7888, + 8398 + ], + [ + 6231, + 11168 + ], + [ + 6971, + 8726 + ], + [ + 5135, + 9279 + ], + [ + 8650, + 10441 + ], + [ + 4603, + 9418 + ], + [ + 5038, + 9346 + ], + [ + 631, + 10232 + ], + [ + 2086, + 10741 + ], + [ + 1248, + 9642 + ], + [ + 685, + 10468 + ], + [ + 876, + 7784 + ], + [ + 5606, + 5831 + ], + [ + 19, + 1747 + ], + [ + 8618, + 8624 + ], + [ + 6412, + 7392 + ], + [ + 2675, + 7349 + ], + [ + 6627, + 11518 + ], + [ + 622, + 3703 + ], + [ + 1214, + 1363 + ], + [ + 1675, + 1758 + ], + [ + 706, + 8312 + ], + [ + 10895, + 11197 + ], + [ + 5878, + 7458 + ], + [ + 1921, + 5197 + ], + [ + 10171, + 11166 + ], + [ + 7765, + 9122 + ], + [ + 3818, + 6051 + ], + [ + 4628, + 11518 + ], + [ + 428, + 3837 + ], + [ + 3091, + 5722 + ], + [ + 1322, + 7497 + ], + [ + 5282, + 9275 + ], + [ + 4394, + 8089 + ], + [ + 4679, + 10702 + ], + [ + 1038, + 11121 + ], + [ + 2377, + 4100 + ], + [ + 695, + 7749 + ], + [ + 3224, + 7914 + ], + [ + 2967, + 10732 + ], + [ + 2786, + 7688 + ], + [ + 6043, + 10312 + ], + [ + 317, + 8328 + ], + [ + 470, + 8570 + ], + [ + 6170, + 10087 + ], + [ + 2457, + 8186 + ], + [ + 592, + 3837 + ], + [ + 2427, + 10229 + ], + [ + 2798, + 7698 + ], + [ + 1996, + 7010 + ], + [ + 7961, + 9010 + ], + [ + 5290, + 5729 + ], + [ + 997, + 8437 + ], + [ + 1957, + 10465 + ], + [ + 4913, + 9943 + ], + [ + 8522, + 10740 + ], + [ + 2354, + 7657 + ], + [ + 926, + 6692 + ], + [ + 3849, + 10194 + ], + [ + 4361, + 4892 + ], + [ + 7757, + 11058 + ], + [ + 4400, + 11236 + ], + [ + 6239, + 10200 + ], + [ + 71, + 701 + ], + [ + 5604, + 9460 + ], + [ + 1836, + 7852 + ], + [ + 5482, + 11160 + ], + [ + 255, + 6645 + ], + [ + 183, + 4325 + ], + [ + 3359, + 6021 + ], + [ + 2920, + 9357 + ], + [ + 1249, + 7503 + ], + [ + 2266, + 10819 + ], + [ + 6481, + 6700 + ], + [ + 70, + 11029 + ], + [ + 6381, + 9502 + ], + [ + 378, + 8930 + ], + [ + 2334, + 8479 + ], + [ + 6716, + 9226 + ], + [ + 3674, + 4312 + ], + [ + 1771, + 3643 + ], + [ + 6771, + 9687 + ], + [ + 3610, + 6771 + ], + [ + 1277, + 6518 + ], + [ + 7338, + 8980 + ], + [ + 4103, + 10087 + ], + [ + 3048, + 11205 + ], + [ + 3290, + 10738 + ], + [ + 6117, + 8116 + ], + [ + 3068, + 5441 + ], + [ + 4969, + 6037 + ], + [ + 7827, + 9144 + ], + [ + 9172, + 10983 + ], + [ + 4569, + 8547 + ], + [ + 6649, + 8354 + ], + [ + 1606, + 5646 + ], + [ + 8576, + 10171 + ], + [ + 109, + 5665 + ], + [ + 2968, + 5210 + ], + [ + 1728, + 10712 + ], + [ + 4555, + 7336 + ], + [ + 223, + 3700 + ], + [ + 8130, + 8549 + ], + [ + 1810, + 5826 + ], + [ + 1500, + 11262 + ], + [ + 4800, + 11304 + ], + [ + 963, + 7647 + ], + [ + 6, + 8546 + ], + [ + 531, + 820 + ], + [ + 5598, + 8086 + ], + [ + 6816, + 9406 + ], + [ + 5383, + 6966 + ], + [ + 1425, + 2982 + ], + [ + 2580, + 11113 + ], + [ + 2604, + 2839 + ], + [ + 1616, + 5179 + ], + [ + 2397, + 5744 + ], + [ + 5630, + 7974 + ], + [ + 5819, + 10879 + ], + [ + 6024, + 7147 + ], + [ + 5098, + 10365 + ], + [ + 335, + 7674 + ], + [ + 1388, + 6483 + ], + [ + 4913, + 8333 + ], + [ + 3385, + 6787 + ], + [ + 3502, + 8126 + ], + [ + 8476, + 8785 + ], + [ + 4830, + 11489 + ], + [ + 1812, + 11133 + ], + [ + 6136, + 8492 + ], + [ + 3832, + 6725 + ], + [ + 5179, + 10145 + ], + [ + 3054, + 9841 + ], + [ + 5106, + 10606 + ], + [ + 10345, + 10974 + ], + [ + 10840, + 10953 + ], + [ + 961, + 6015 + ], + [ + 1678, + 1869 + ], + [ + 828, + 10589 + ], + [ + 800, + 8541 + ], + [ + 3, + 7443 + ], + [ + 1426, + 5031 + ], + [ + 3583, + 9754 + ], + [ + 1109, + 9296 + ], + [ + 3043, + 5868 + ], + [ + 1510, + 3224 + ], + [ + 6031, + 7513 + ], + [ + 988, + 4805 + ], + [ + 6774, + 7594 + ], + [ + 8114, + 9843 + ], + [ + 4473, + 9508 + ], + [ + 4277, + 10350 + ], + [ + 1737, + 5832 + ], + [ + 2256, + 8117 + ], + [ + 8355, + 9151 + ], + [ + 757, + 5811 + ], + [ + 5989, + 7260 + ], + [ + 10, + 10492 + ], + [ + 354, + 3886 + ], + [ + 1401, + 2126 + ], + [ + 131, + 5534 + ], + [ + 5896, + 7446 + ], + [ + 7262, + 10916 + ], + [ + 498, + 10431 + ], + [ + 3110, + 5935 + ], + [ + 5164, + 6773 + ], + [ + 2860, + 5006 + ], + [ + 465, + 1623 + ], + [ + 1557, + 6022 + ], + [ + 502, + 11304 + ], + [ + 4070, + 11346 + ], + [ + 5391, + 9381 + ], + [ + 3516, + 6973 + ], + [ + 5658, + 10664 + ], + [ + 2855, + 11428 + ], + [ + 7862, + 8063 + ], + [ + 6242, + 6928 + ], + [ + 5084, + 10577 + ], + [ + 3062, + 6244 + ], + [ + 1790, + 8825 + ], + [ + 453, + 3841 + ], + [ + 3957, + 7096 + ], + [ + 4961, + 9396 + ], + [ + 5828, + 8981 + ], + [ + 7724, + 8479 + ], + [ + 74, + 10611 + ], + [ + 8723, + 10435 + ], + [ + 8908, + 9434 + ], + [ + 3529, + 10941 + ], + [ + 1127, + 6387 + ], + [ + 1490, + 10411 + ], + [ + 4549, + 11522 + ], + [ + 3851, + 6296 + ], + [ + 1428, + 9533 + ], + [ + 6320, + 9039 + ], + [ + 5040, + 7595 + ], + [ + 998, + 6916 + ], + [ + 2170, + 7137 + ], + [ + 6091, + 9741 + ], + [ + 7622, + 8552 + ], + [ + 5748, + 6369 + ], + [ + 4448, + 6902 + ], + [ + 4498, + 6265 + ], + [ + 890, + 2660 + ], + [ + 6609, + 7637 + ], + [ + 1113, + 8559 + ], + [ + 5466, + 6656 + ], + [ + 638, + 5068 + ], + [ + 4127, + 11425 + ], + [ + 7761, + 10589 + ], + [ + 15, + 5843 + ], + [ + 10438, + 10652 + ], + [ + 2098, + 5921 + ], + [ + 8159, + 10635 + ], + [ + 6180, + 8628 + ], + [ + 7042, + 7869 + ], + [ + 2899, + 7138 + ], + [ + 2620, + 7723 + ], + [ + 1720, + 5746 + ], + [ + 5, + 2122 + ], + [ + 4858, + 11122 + ], + [ + 3029, + 6430 + ], + [ + 1224, + 2132 + ], + [ + 1438, + 10197 + ], + [ + 9498, + 9626 + ], + [ + 1903, + 11465 + ], + [ + 6717, + 8459 + ], + [ + 2486, + 5629 + ], + [ + 2200, + 11459 + ], + [ + 1297, + 3549 + ], + [ + 2179, + 10582 + ], + [ + 1307, + 4237 + ], + [ + 5508, + 8356 + ], + [ + 5663, + 6015 + ], + [ + 204, + 1177 + ], + [ + 5408, + 11158 + ], + [ + 1260, + 3667 + ], + [ + 6645, + 9522 + ], + [ + 107, + 1244 + ], + [ + 7856, + 9671 + ], + [ + 77, + 2533 + ], + [ + 1885, + 7102 + ], + [ + 8483, + 9769 + ], + [ + 3197, + 7303 + ], + [ + 3102, + 10449 + ], + [ + 7111, + 7982 + ], + [ + 4561, + 7694 + ], + [ + 4117, + 5768 + ], + [ + 2599, + 9074 + ], + [ + 7673, + 7685 + ], + [ + 3743, + 7247 + ], + [ + 6886, + 8803 + ], + [ + 7818, + 9537 + ], + [ + 7916, + 10072 + ], + [ + 4676, + 10835 + ], + [ + 9184, + 10001 + ], + [ + 2375, + 7087 + ], + [ + 8412, + 11407 + ], + [ + 7412, + 11478 + ], + [ + 5794, + 11170 + ], + [ + 2119, + 6343 + ], + [ + 1644, + 2852 + ], + [ + 364, + 5572 + ], + [ + 2237, + 9782 + ], + [ + 269, + 2302 + ], + [ + 1392, + 6014 + ], + [ + 1524, + 7631 + ], + [ + 9640, + 11156 + ], + [ + 5385, + 10184 + ], + [ + 1517, + 10624 + ], + [ + 844, + 7872 + ], + [ + 3042, + 5456 + ], + [ + 5187, + 8664 + ], + [ + 3820, + 5723 + ], + [ + 5267, + 7869 + ], + [ + 1416, + 6758 + ], + [ + 5616, + 8023 + ], + [ + 6087, + 7608 + ], + [ + 2152, + 7580 + ], + [ + 1880, + 2920 + ], + [ + 2473, + 9850 + ], + [ + 357, + 1718 + ], + [ + 8846, + 9955 + ], + [ + 5577, + 5816 + ], + [ + 3305, + 6216 + ], + [ + 4086, + 6781 + ], + [ + 786, + 1077 + ], + [ + 6226, + 9645 + ], + [ + 4612, + 6073 + ], + [ + 6513, + 6669 + ], + [ + 9157, + 10756 + ], + [ + 9274, + 11341 + ], + [ + 6949, + 9451 + ], + [ + 9750, + 11270 + ], + [ + 3086, + 4573 + ], + [ + 987, + 10408 + ], + [ + 4536, + 10400 + ], + [ + 1857, + 9510 + ], + [ + 3233, + 11416 + ], + [ + 3389, + 5513 + ], + [ + 707, + 7735 + ], + [ + 3169, + 6678 + ], + [ + 7072, + 7198 + ], + [ + 8568, + 9206 + ], + [ + 851, + 3700 + ], + [ + 3841, + 9178 + ], + [ + 4458, + 7834 + ], + [ + 2957, + 10363 + ], + [ + 3459, + 9261 + ], + [ + 9118, + 10777 + ], + [ + 532, + 9023 + ], + [ + 7290, + 8939 + ], + [ + 1648, + 11564 + ], + [ + 1555, + 8367 + ], + [ + 5121, + 6084 + ], + [ + 5969, + 7871 + ], + [ + 4205, + 9990 + ], + [ + 327, + 10496 + ], + [ + 5227, + 7234 + ], + [ + 4046, + 9179 + ], + [ + 4970, + 5134 + ], + [ + 4070, + 7321 + ], + [ + 3535, + 3779 + ], + [ + 8543, + 10438 + ], + [ + 1545, + 10281 + ], + [ + 6115, + 11079 + ], + [ + 1478, + 9059 + ], + [ + 1949, + 8644 + ], + [ + 1235, + 2885 + ], + [ + 5746, + 8738 + ], + [ + 2847, + 3378 + ], + [ + 2948, + 10600 + ], + [ + 1997, + 4928 + ], + [ + 6339, + 9252 + ], + [ + 3223, + 6109 + ], + [ + 508, + 2556 + ], + [ + 9630, + 11460 + ], + [ + 719, + 7694 + ], + [ + 1687, + 9583 + ], + [ + 154, + 1277 + ], + [ + 5673, + 10330 + ], + [ + 5112, + 7819 + ], + [ + 4367, + 7665 + ], + [ + 1024, + 10959 + ], + [ + 6041, + 8282 + ], + [ + 567, + 6519 + ], + [ + 433, + 4075 + ], + [ + 687, + 11539 + ], + [ + 3292, + 3620 + ], + [ + 9958, + 10363 + ], + [ + 6724, + 8662 + ], + [ + 3264, + 11371 + ], + [ + 1296, + 3137 + ], + [ + 6963, + 8678 + ], + [ + 6844, + 7266 + ], + [ + 2818, + 7120 + ], + [ + 4786, + 8938 + ], + [ + 4776, + 7496 + ], + [ + 5772, + 9935 + ], + [ + 3597, + 4606 + ], + [ + 2260, + 6038 + ], + [ + 3936, + 4072 + ], + [ + 4338, + 7270 + ], + [ + 3813, + 5170 + ], + [ + 487, + 4661 + ], + [ + 2283, + 6961 + ], + [ + 4304, + 5407 + ], + [ + 7638, + 10695 + ], + [ + 4114, + 5283 + ], + [ + 5798, + 11506 + ], + [ + 7257, + 11003 + ], + [ + 1158, + 3553 + ], + [ + 8418, + 11035 + ], + [ + 5015, + 10114 + ], + [ + 4483, + 11007 + ], + [ + 3650, + 10252 + ], + [ + 4025, + 9375 + ], + [ + 1900, + 3409 + ], + [ + 2705, + 8532 + ], + [ + 2340, + 7845 + ], + [ + 1316, + 10528 + ], + [ + 9456, + 11441 + ], + [ + 2964, + 3508 + ], + [ + 8065, + 10358 + ], + [ + 641, + 3973 + ], + [ + 6320, + 10275 + ], + [ + 1797, + 3661 + ], + [ + 2696, + 7665 + ], + [ + 5505, + 7847 + ], + [ + 11012, + 11221 + ], + [ + 3194, + 4909 + ], + [ + 7118, + 11194 + ], + [ + 1605, + 10257 + ], + [ + 8647, + 9932 + ], + [ + 10225, + 10841 + ], + [ + 7362, + 7390 + ], + [ + 8824, + 10568 + ], + [ + 923, + 9671 + ], + [ + 5658, + 8062 + ], + [ + 4490, + 11023 + ], + [ + 3565, + 10679 + ], + [ + 1910, + 7106 + ], + [ + 2042, + 9477 + ], + [ + 3876, + 8097 + ], + [ + 734, + 10149 + ], + [ + 3556, + 6429 + ], + [ + 2152, + 7393 + ], + [ + 5023, + 10705 + ], + [ + 3707, + 6598 + ], + [ + 875, + 2460 + ], + [ + 4140, + 9863 + ], + [ + 4489, + 10017 + ], + [ + 9460, + 11159 + ], + [ + 1122, + 3091 + ], + [ + 91, + 1597 + ], + [ + 3148, + 8297 + ], + [ + 8900, + 10004 + ], + [ + 414, + 1284 + ], + [ + 1004, + 8697 + ], + [ + 2926, + 3000 + ], + [ + 2024, + 10776 + ], + [ + 9785, + 10138 + ], + [ + 439, + 8696 + ], + [ + 537, + 9985 + ], + [ + 1282, + 3723 + ], + [ + 6598, + 8283 + ], + [ + 1148, + 11078 + ], + [ + 3877, + 11331 + ], + [ + 641, + 3168 + ], + [ + 5873, + 8781 + ], + [ + 4749, + 11260 + ], + [ + 242, + 2116 + ], + [ + 4070, + 7939 + ], + [ + 145, + 8599 + ], + [ + 2691, + 3483 + ], + [ + 3403, + 8415 + ], + [ + 2001, + 3036 + ], + [ + 574, + 1542 + ], + [ + 197, + 5756 + ], + [ + 764, + 8055 + ], + [ + 2686, + 6522 + ], + [ + 1412, + 1860 + ], + [ + 2240, + 2271 + ], + [ + 906, + 3220 + ], + [ + 1009, + 4853 + ], + [ + 4607, + 7770 + ], + [ + 656, + 9461 + ], + [ + 2218, + 3421 + ], + [ + 10585, + 10729 + ], + [ + 5167, + 5892 + ], + [ + 2457, + 3437 + ], + [ + 4681, + 9382 + ], + [ + 2522, + 4586 + ], + [ + 2804, + 7682 + ], + [ + 4361, + 7714 + ], + [ + 4956, + 11307 + ], + [ + 1537, + 10607 + ], + [ + 2678, + 9263 + ], + [ + 1654, + 4776 + ], + [ + 3481, + 7143 + ], + [ + 1053, + 10036 + ], + [ + 4971, + 5953 + ], + [ + 1079, + 9005 + ], + [ + 2703, + 3843 + ], + [ + 5039, + 10029 + ], + [ + 1030, + 6080 + ], + [ + 1589, + 7764 + ], + [ + 529, + 7784 + ], + [ + 10880, + 11027 + ], + [ + 5532, + 7683 + ], + [ + 4386, + 6431 + ], + [ + 1321, + 5505 + ], + [ + 2635, + 8031 + ], + [ + 9173, + 10647 + ], + [ + 2609, + 6810 + ], + [ + 3753, + 4983 + ], + [ + 2419, + 10850 + ], + [ + 4251, + 9397 + ], + [ + 201, + 4693 + ], + [ + 3843, + 11292 + ], + [ + 1265, + 4792 + ], + [ + 8285, + 8680 + ], + [ + 4682, + 9583 + ], + [ + 5451, + 7879 + ], + [ + 1903, + 4325 + ], + [ + 8971, + 10139 + ], + [ + 667, + 7317 + ], + [ + 5760, + 9388 + ], + [ + 1567, + 2878 + ], + [ + 2181, + 4269 + ], + [ + 5611, + 9265 + ], + [ + 3553, + 10937 + ], + [ + 6812, + 7972 + ], + [ + 2020, + 2631 + ], + [ + 4141, + 11107 + ], + [ + 4387, + 8130 + ], + [ + 2116, + 2339 + ], + [ + 7475, + 9979 + ], + [ + 5847, + 11235 + ], + [ + 4205, + 5615 + ], + [ + 4100, + 8073 + ], + [ + 3945, + 11168 + ], + [ + 2106, + 5034 + ], + [ + 990, + 8128 + ], + [ + 7065, + 8768 + ], + [ + 6187, + 8270 + ], + [ + 8019, + 10981 + ], + [ + 3373, + 11127 + ], + [ + 489, + 6799 + ], + [ + 5057, + 6770 + ], + [ + 2758, + 9511 + ], + [ + 8573, + 11540 + ], + [ + 4154, + 8659 + ], + [ + 986, + 10988 + ], + [ + 7008, + 10112 + ], + [ + 716, + 2267 + ], + [ + 6577, + 11057 + ], + [ + 3611, + 10891 + ], + [ + 7162, + 7546 + ], + [ + 4954, + 10405 + ], + [ + 9743, + 10530 + ], + [ + 9003, + 10720 + ], + [ + 5846, + 6822 + ], + [ + 4170, + 9542 + ], + [ + 2639, + 3561 + ], + [ + 1274, + 3699 + ], + [ + 2227, + 2304 + ], + [ + 6192, + 10842 + ], + [ + 3549, + 9609 + ], + [ + 5256, + 6956 + ], + [ + 393, + 9319 + ], + [ + 9455, + 11002 + ], + [ + 4290, + 4359 + ], + [ + 3848, + 4014 + ], + [ + 3813, + 7211 + ], + [ + 5031, + 7777 + ], + [ + 3472, + 11082 + ], + [ + 74, + 4089 + ], + [ + 3219, + 6472 + ], + [ + 4590, + 10286 + ], + [ + 3188, + 4907 + ], + [ + 3277, + 10614 + ], + [ + 51, + 133 + ], + [ + 6867, + 10607 + ], + [ + 4768, + 5862 + ], + [ + 8534, + 10807 + ], + [ + 1166, + 3203 + ], + [ + 9216, + 10612 + ], + [ + 6728, + 7038 + ], + [ + 2626, + 6308 + ], + [ + 2939, + 4553 + ], + [ + 6147, + 10668 + ], + [ + 7217, + 10612 + ], + [ + 36, + 5086 + ], + [ + 2895, + 11047 + ], + [ + 4759, + 5345 + ], + [ + 4760, + 8953 + ], + [ + 826, + 5363 + ], + [ + 5807, + 7193 + ], + [ + 22, + 7258 + ], + [ + 2381, + 8732 + ], + [ + 5242, + 11356 + ], + [ + 39, + 10645 + ], + [ + 448, + 2936 + ], + [ + 7976, + 11172 + ], + [ + 4984, + 9785 + ], + [ + 1353, + 10892 + ], + [ + 686, + 5733 + ], + [ + 629, + 5199 + ], + [ + 6350, + 6839 + ], + [ + 7193, + 8282 + ], + [ + 4706, + 7562 + ], + [ + 1347, + 11077 + ], + [ + 3138, + 6617 + ], + [ + 8308, + 11352 + ], + [ + 935, + 5656 + ], + [ + 2211, + 3194 + ], + [ + 3752, + 4975 + ], + [ + 8890, + 10172 + ], + [ + 6154, + 6496 + ], + [ + 338, + 8002 + ], + [ + 4567, + 7753 + ], + [ + 6239, + 8297 + ], + [ + 7204, + 11423 + ], + [ + 2060, + 5657 + ], + [ + 1201, + 3681 + ], + [ + 6154, + 9879 + ], + [ + 2474, + 3954 + ], + [ + 3753, + 8179 + ], + [ + 5143, + 9791 + ], + [ + 6331, + 8236 + ], + [ + 3481, + 9184 + ], + [ + 4088, + 7876 + ], + [ + 4231, + 7430 + ], + [ + 2920, + 4421 + ], + [ + 2271, + 6227 + ], + [ + 89, + 10307 + ], + [ + 1734, + 6022 + ], + [ + 1933, + 9615 + ], + [ + 1713, + 5145 + ], + [ + 4574, + 7769 + ], + [ + 954, + 2649 + ], + [ + 6127, + 11065 + ], + [ + 4100, + 7886 + ], + [ + 4289, + 10791 + ], + [ + 2667, + 3194 + ], + [ + 10755, + 11087 + ], + [ + 8898, + 10763 + ], + [ + 1054, + 9646 + ], + [ + 278, + 3009 + ], + [ + 4841, + 9052 + ], + [ + 2353, + 4724 + ], + [ + 4046, + 4617 + ], + [ + 3949, + 11100 + ], + [ + 336, + 7151 + ], + [ + 6406, + 9699 + ], + [ + 3691, + 6146 + ], + [ + 6401, + 8601 + ], + [ + 1050, + 5740 + ], + [ + 540, + 3948 + ], + [ + 1539, + 5904 + ], + [ + 8949, + 9947 + ], + [ + 50, + 9948 + ], + [ + 4714, + 9627 + ], + [ + 8409, + 9444 + ], + [ + 7998, + 8412 + ], + [ + 4080, + 6079 + ], + [ + 7450, + 10270 + ], + [ + 6832, + 11389 + ], + [ + 1287, + 5279 + ], + [ + 163, + 10764 + ], + [ + 4678, + 4685 + ], + [ + 2522, + 5822 + ], + [ + 6166, + 9084 + ], + [ + 882, + 7445 + ], + [ + 5008, + 6317 + ], + [ + 469, + 5586 + ], + [ + 718, + 8542 + ], + [ + 2363, + 5011 + ], + [ + 2550, + 11253 + ], + [ + 4162, + 4576 + ], + [ + 3818, + 4766 + ], + [ + 2680, + 3375 + ], + [ + 4331, + 10212 + ], + [ + 7220, + 7714 + ], + [ + 4072, + 5033 + ], + [ + 1054, + 8841 + ], + [ + 2671, + 3262 + ], + [ + 48, + 2681 + ], + [ + 3752, + 6748 + ], + [ + 448, + 9970 + ], + [ + 2155, + 3153 + ], + [ + 8722, + 9917 + ], + [ + 5494, + 6533 + ], + [ + 5919, + 11435 + ], + [ + 3622, + 4423 + ], + [ + 2255, + 3734 + ], + [ + 5362, + 9797 + ], + [ + 5427, + 7940 + ], + [ + 9059, + 10441 + ], + [ + 3613, + 9972 + ], + [ + 605, + 10304 + ], + [ + 3802, + 6461 + ], + [ + 4136, + 5583 + ], + [ + 9309, + 9835 + ], + [ + 6195, + 7519 + ], + [ + 1644, + 4519 + ], + [ + 4797, + 10927 + ], + [ + 153, + 6238 + ], + [ + 11078, + 11443 + ], + [ + 5075, + 10871 + ], + [ + 5195, + 10973 + ], + [ + 273, + 1055 + ], + [ + 4475, + 8782 + ], + [ + 4757, + 7714 + ], + [ + 3723, + 7457 + ], + [ + 1747, + 11413 + ], + [ + 5577, + 7483 + ], + [ + 4367, + 10942 + ], + [ + 5079, + 6452 + ], + [ + 3054, + 4100 + ], + [ + 443, + 8040 + ], + [ + 5541, + 10455 + ], + [ + 6350, + 6652 + ], + [ + 5226, + 9131 + ], + [ + 3312, + 8273 + ], + [ + 220, + 9688 + ], + [ + 194, + 8467 + ], + [ + 1402, + 4181 + ], + [ + 6446, + 9743 + ], + [ + 431, + 7656 + ], + [ + 1016, + 4145 + ], + [ + 33, + 6829 + ], + [ + 1363, + 7636 + ], + [ + 716, + 3853 + ], + [ + 8582, + 8701 + ], + [ + 6505, + 10323 + ], + [ + 2570, + 10295 + ], + [ + 3848, + 5250 + ], + [ + 1167, + 7697 + ], + [ + 1736, + 10069 + ], + [ + 9950, + 9965 + ], + [ + 2132, + 3653 + ], + [ + 2942, + 9120 + ], + [ + 669, + 6666 + ], + [ + 7957, + 9780 + ], + [ + 1486, + 2724 + ], + [ + 5428, + 6205 + ], + [ + 2575, + 7606 + ], + [ + 8600, + 10411 + ], + [ + 6335, + 8572 + ], + [ + 8797, + 10925 + ], + [ + 4119, + 6652 + ], + [ + 7011, + 10841 + ], + [ + 977, + 3786 + ], + [ + 82, + 7071 + ], + [ + 2188, + 10351 + ], + [ + 7198, + 10667 + ], + [ + 8844, + 9990 + ], + [ + 97, + 963 + ], + [ + 2428, + 6805 + ], + [ + 2865, + 3396 + ], + [ + 5084, + 5991 + ], + [ + 543, + 10849 + ], + [ + 6575, + 8409 + ], + [ + 3058, + 10584 + ], + [ + 5138, + 6227 + ], + [ + 6067, + 8942 + ], + [ + 6235, + 10970 + ], + [ + 6411, + 7254 + ], + [ + 9556, + 9637 + ], + [ + 4053, + 8634 + ], + [ + 1582, + 8447 + ], + [ + 3550, + 10265 + ], + [ + 2975, + 7324 + ], + [ + 769, + 2682 + ], + [ + 994, + 5244 + ], + [ + 3563, + 7494 + ], + [ + 2195, + 10367 + ], + [ + 4717, + 6355 + ], + [ + 4311, + 5667 + ], + [ + 9820, + 9868 + ], + [ + 5286, + 9481 + ], + [ + 1272, + 4434 + ], + [ + 3280, + 4927 + ], + [ + 2548, + 4978 + ], + [ + 6579, + 11160 + ], + [ + 540, + 3761 + ], + [ + 760, + 1815 + ], + [ + 1019, + 3207 + ], + [ + 8479, + 11531 + ], + [ + 1636, + 9033 + ], + [ + 3460, + 6965 + ], + [ + 662, + 8073 + ], + [ + 4868, + 6874 + ], + [ + 7476, + 9052 + ], + [ + 998, + 7241 + ], + [ + 8343, + 10889 + ], + [ + 2001, + 4435 + ], + [ + 1526, + 7360 + ], + [ + 812, + 8771 + ], + [ + 3592, + 6303 + ], + [ + 5576, + 5648 + ], + [ + 1648, + 2627 + ], + [ + 1339, + 10917 + ], + [ + 3576, + 5046 + ], + [ + 6201, + 11335 + ], + [ + 8240, + 11141 + ], + [ + 5750, + 6740 + ], + [ + 27, + 1267 + ], + [ + 935, + 10275 + ], + [ + 6805, + 9005 + ], + [ + 3632, + 4574 + ], + [ + 10724, + 10782 + ], + [ + 521, + 8191 + ], + [ + 925, + 5800 + ], + [ + 713, + 8361 + ], + [ + 1668, + 10045 + ], + [ + 6941, + 11495 + ], + [ + 3287, + 7545 + ], + [ + 1506, + 5553 + ], + [ + 3386, + 5272 + ], + [ + 4036, + 6320 + ], + [ + 5154, + 9688 + ], + [ + 8232, + 10849 + ], + [ + 391, + 9249 + ], + [ + 5055, + 8928 + ], + [ + 7300, + 9334 + ], + [ + 10820, + 10840 + ], + [ + 2472, + 8500 + ], + [ + 1596, + 8829 + ], + [ + 5574, + 7049 + ], + [ + 6756, + 7958 + ], + [ + 1348, + 4563 + ], + [ + 730, + 5682 + ], + [ + 9687, + 9823 + ], + [ + 5554, + 9780 + ], + [ + 2640, + 3388 + ], + [ + 5666, + 10021 + ], + [ + 1837, + 11143 + ], + [ + 5693, + 6182 + ], + [ + 1092, + 3819 + ], + [ + 625, + 11523 + ], + [ + 1654, + 5020 + ], + [ + 2141, + 5138 + ], + [ + 2048, + 2695 + ], + [ + 1490, + 3865 + ], + [ + 10354, + 11225 + ], + [ + 837, + 5929 + ], + [ + 82, + 923 + ], + [ + 3544, + 8086 + ], + [ + 4217, + 6674 + ], + [ + 1911, + 8998 + ], + [ + 770, + 8090 + ], + [ + 4789, + 7065 + ], + [ + 2726, + 8393 + ], + [ + 1888, + 7294 + ], + [ + 12, + 2032 + ], + [ + 3618, + 8974 + ], + [ + 3444, + 7855 + ], + [ + 450, + 5641 + ], + [ + 2412, + 6890 + ], + [ + 3809, + 5509 + ], + [ + 2687, + 8815 + ], + [ + 1314, + 4928 + ], + [ + 2179, + 10102 + ], + [ + 1563, + 5632 + ], + [ + 930, + 1555 + ], + [ + 5709, + 5880 + ], + [ + 248, + 5133 + ], + [ + 4324, + 4642 + ], + [ + 600, + 8968 + ], + [ + 7816, + 10516 + ], + [ + 6689, + 9314 + ], + [ + 3081, + 5709 + ], + [ + 1183, + 8794 + ], + [ + 6780, + 8678 + ], + [ + 1025, + 1792 + ], + [ + 3490, + 3662 + ], + [ + 8312, + 11097 + ], + [ + 535, + 7792 + ], + [ + 1149, + 9183 + ], + [ + 2114, + 2887 + ], + [ + 1460, + 4349 + ], + [ + 431, + 4436 + ], + [ + 1262, + 10780 + ], + [ + 1883, + 2762 + ], + [ + 3438, + 6131 + ], + [ + 10220, + 11359 + ], + [ + 10699, + 10805 + ], + [ + 5401, + 10988 + ], + [ + 1258, + 3841 + ], + [ + 1388, + 9549 + ], + [ + 7475, + 9068 + ], + [ + 1661, + 4231 + ], + [ + 671, + 9908 + ], + [ + 8814, + 11092 + ], + [ + 7346, + 9597 + ], + [ + 4302, + 5768 + ], + [ + 3233, + 8708 + ], + [ + 1185, + 11068 + ], + [ + 1340, + 8727 + ], + [ + 10118, + 10651 + ], + [ + 932, + 10622 + ], + [ + 987, + 11083 + ], + [ + 5295, + 10161 + ], + [ + 4104, + 11418 + ], + [ + 4223, + 6414 + ], + [ + 8051, + 8073 + ], + [ + 4255, + 10833 + ], + [ + 3171, + 11213 + ], + [ + 1117, + 3959 + ], + [ + 1211, + 9256 + ], + [ + 50, + 2808 + ], + [ + 4633, + 7975 + ], + [ + 4910, + 6563 + ], + [ + 4031, + 9627 + ], + [ + 5529, + 8298 + ], + [ + 4906, + 9073 + ], + [ + 5102, + 6733 + ], + [ + 7736, + 10132 + ], + [ + 241, + 3507 + ], + [ + 3976, + 9139 + ], + [ + 483, + 3040 + ], + [ + 8388, + 11226 + ], + [ + 230, + 8229 + ], + [ + 2210, + 10838 + ], + [ + 2251, + 6675 + ], + [ + 2344, + 7620 + ], + [ + 3180, + 7892 + ], + [ + 2053, + 6690 + ], + [ + 3584, + 5501 + ], + [ + 5574, + 11050 + ], + [ + 5383, + 8072 + ], + [ + 787, + 10217 + ], + [ + 7010, + 7345 + ], + [ + 3174, + 6542 + ], + [ + 3800, + 9448 + ], + [ + 5291, + 5450 + ], + [ + 8184, + 10241 + ], + [ + 3227, + 6553 + ], + [ + 8767, + 10067 + ], + [ + 5369, + 10244 + ], + [ + 5909, + 7714 + ], + [ + 1263, + 5608 + ], + [ + 9948, + 11505 + ], + [ + 8441, + 10836 + ], + [ + 3096, + 11173 + ], + [ + 3208, + 4998 + ], + [ + 687, + 5448 + ], + [ + 2994, + 6732 + ], + [ + 2244, + 5480 + ], + [ + 4716, + 9275 + ], + [ + 659, + 9816 + ], + [ + 7226, + 10918 + ], + [ + 999, + 4222 + ], + [ + 1246, + 10515 + ], + [ + 1676, + 10099 + ], + [ + 8718, + 9774 + ], + [ + 6882, + 10327 + ], + [ + 2837, + 3715 + ], + [ + 4571, + 11553 + ], + [ + 2931, + 9012 + ], + [ + 10980, + 11315 + ], + [ + 10146, + 11089 + ], + [ + 6999, + 7879 + ], + [ + 1987, + 4484 + ], + [ + 4232, + 9054 + ], + [ + 1543, + 6722 + ], + [ + 2451, + 9314 + ], + [ + 1947, + 11501 + ], + [ + 2858, + 11358 + ], + [ + 6748, + 7479 + ], + [ + 3751, + 5748 + ], + [ + 4938, + 7001 + ], + [ + 2825, + 8966 + ], + [ + 3666, + 9582 + ], + [ + 2749, + 9910 + ], + [ + 1761, + 11496 + ], + [ + 1541, + 3616 + ], + [ + 450, + 2071 + ], + [ + 7483, + 10328 + ], + [ + 3371, + 8910 + ], + [ + 2163, + 2616 + ], + [ + 6744, + 6956 + ], + [ + 9220, + 9769 + ], + [ + 2036, + 11142 + ], + [ + 7196, + 8019 + ], + [ + 5771, + 9604 + ], + [ + 2595, + 6410 + ], + [ + 3488, + 7216 + ], + [ + 2061, + 5722 + ], + [ + 1588, + 3058 + ], + [ + 3205, + 10311 + ], + [ + 2620, + 7406 + ], + [ + 5918, + 6621 + ], + [ + 2905, + 3603 + ], + [ + 1129, + 9125 + ], + [ + 1642, + 3294 + ], + [ + 2336, + 11030 + ], + [ + 4788, + 8531 + ], + [ + 6790, + 9933 + ], + [ + 2198, + 4680 + ], + [ + 4606, + 6770 + ], + [ + 624, + 10306 + ], + [ + 6740, + 9065 + ], + [ + 5001, + 9928 + ], + [ + 1789, + 6323 + ], + [ + 3499, + 9603 + ], + [ + 5236, + 9044 + ], + [ + 3622, + 5472 + ], + [ + 3214, + 3957 + ], + [ + 4015, + 5174 + ], + [ + 4858, + 6617 + ], + [ + 8347, + 8810 + ], + [ + 2342, + 7411 + ], + [ + 1932, + 9233 + ], + [ + 872, + 9253 + ], + [ + 1997, + 7376 + ], + [ + 92, + 5880 + ], + [ + 1186, + 11106 + ], + [ + 997, + 1785 + ], + [ + 1253, + 5912 + ], + [ + 1160, + 3469 + ], + [ + 7806, + 8836 + ], + [ + 549, + 871 + ], + [ + 1766, + 10634 + ], + [ + 4598, + 7602 + ], + [ + 828, + 3669 + ], + [ + 924, + 9793 + ], + [ + 1330, + 4065 + ], + [ + 4698, + 8183 + ], + [ + 7093, + 10068 + ], + [ + 1133, + 6934 + ], + [ + 1735, + 5282 + ], + [ + 2827, + 10435 + ], + [ + 6430, + 7280 + ], + [ + 3155, + 8988 + ], + [ + 3714, + 10672 + ], + [ + 512, + 7755 + ], + [ + 5456, + 9703 + ], + [ + 6168, + 8219 + ], + [ + 4332, + 6520 + ], + [ + 39, + 8474 + ], + [ + 6670, + 7117 + ], + [ + 7573, + 8611 + ], + [ + 2750, + 8121 + ], + [ + 4735, + 6910 + ], + [ + 3183, + 4970 + ], + [ + 8931, + 11439 + ], + [ + 1873, + 11231 + ], + [ + 2336, + 6037 + ], + [ + 6787, + 11085 + ], + [ + 2081, + 5518 + ], + [ + 6528, + 6660 + ], + [ + 216, + 3798 + ], + [ + 5376, + 7845 + ], + [ + 1021, + 8921 + ], + [ + 7082, + 7219 + ], + [ + 2543, + 6488 + ], + [ + 2018, + 7798 + ], + [ + 8863, + 10342 + ], + [ + 7027, + 10895 + ], + [ + 1170, + 9394 + ], + [ + 5060, + 5515 + ], + [ + 4256, + 10416 + ], + [ + 6830, + 7348 + ], + [ + 4834, + 9898 + ], + [ + 3373, + 9574 + ], + [ + 8065, + 11301 + ], + [ + 1289, + 10025 + ], + [ + 5124, + 6439 + ], + [ + 938, + 2628 + ], + [ + 8575, + 10060 + ], + [ + 1565, + 9142 + ], + [ + 4638, + 9205 + ], + [ + 997, + 9624 + ], + [ + 2717, + 11340 + ], + [ + 3090, + 10390 + ], + [ + 2586, + 6161 + ], + [ + 7689, + 8920 + ], + [ + 722, + 4666 + ], + [ + 5820, + 7081 + ], + [ + 527, + 7608 + ], + [ + 2736, + 6105 + ], + [ + 809, + 878 + ], + [ + 1139, + 2510 + ], + [ + 1900, + 11468 + ], + [ + 1583, + 9317 + ], + [ + 3068, + 7783 + ], + [ + 11077, + 11411 + ], + [ + 492, + 8526 + ], + [ + 547, + 8233 + ], + [ + 10355, + 11426 + ], + [ + 238, + 3691 + ], + [ + 4842, + 9735 + ], + [ + 4491, + 8754 + ], + [ + 1390, + 6643 + ], + [ + 1008, + 10513 + ], + [ + 2038, + 6864 + ], + [ + 7573, + 10034 + ], + [ + 8920, + 9290 + ], + [ + 2721, + 4642 + ], + [ + 1974, + 2907 + ], + [ + 1408, + 4216 + ], + [ + 5076, + 8626 + ], + [ + 4269, + 6840 + ], + [ + 3611, + 11566 + ], + [ + 5175, + 6353 + ], + [ + 472, + 5965 + ], + [ + 3211, + 7660 + ], + [ + 9312, + 9521 + ], + [ + 7745, + 11430 + ], + [ + 9467, + 9809 + ], + [ + 2614, + 6623 + ], + [ + 1989, + 10735 + ], + [ + 2145, + 11248 + ], + [ + 738, + 1361 + ], + [ + 4724, + 7770 + ], + [ + 150, + 10236 + ], + [ + 1294, + 8409 + ], + [ + 3376, + 4879 + ], + [ + 2908, + 3313 + ], + [ + 6185, + 7313 + ], + [ + 5741, + 10305 + ], + [ + 7057, + 7242 + ], + [ + 9545, + 11570 + ], + [ + 1195, + 5397 + ], + [ + 3748, + 10120 + ], + [ + 7762, + 8751 + ], + [ + 9324, + 9881 + ], + [ + 909, + 5565 + ], + [ + 941, + 7732 + ], + [ + 8781, + 11359 + ], + [ + 6549, + 9660 + ], + [ + 4026, + 9283 + ], + [ + 5546, + 9433 + ], + [ + 68, + 5299 + ], + [ + 5011, + 6645 + ], + [ + 160, + 8271 + ], + [ + 2018, + 11449 + ], + [ + 7431, + 8772 + ], + [ + 9389, + 9902 + ], + [ + 526, + 5396 + ], + [ + 6881, + 8305 + ], + [ + 558, + 8317 + ], + [ + 492, + 9949 + ], + [ + 857, + 1968 + ], + [ + 5373, + 7411 + ], + [ + 1354, + 2774 + ], + [ + 176, + 4236 + ], + [ + 5742, + 8971 + ], + [ + 1485, + 4920 + ], + [ + 3871, + 10469 + ], + [ + 6524, + 10138 + ], + [ + 2385, + 6116 + ], + [ + 3927, + 5116 + ], + [ + 6079, + 9495 + ], + [ + 1874, + 7132 + ], + [ + 3221, + 10552 + ], + [ + 4403, + 5045 + ], + [ + 8143, + 11021 + ], + [ + 3240, + 4186 + ], + [ + 2561, + 11445 + ], + [ + 1025, + 9257 + ], + [ + 1582, + 10114 + ], + [ + 909, + 5110 + ], + [ + 4792, + 10640 + ], + [ + 3917, + 10413 + ], + [ + 271, + 3318 + ], + [ + 6000, + 9737 + ], + [ + 2974, + 3104 + ], + [ + 7393, + 8614 + ], + [ + 10918, + 11218 + ], + [ + 1818, + 6799 + ], + [ + 6742, + 7341 + ], + [ + 197, + 8472 + ], + [ + 3629, + 10131 + ], + [ + 2043, + 2945 + ], + [ + 8142, + 10395 + ], + [ + 2827, + 9443 + ], + [ + 764, + 10771 + ], + [ + 4081, + 4778 + ], + [ + 1725, + 2821 + ], + [ + 1042, + 3545 + ], + [ + 1967, + 2354 + ], + [ + 4026, + 10706 + ], + [ + 6321, + 8223 + ], + [ + 1687, + 3468 + ], + [ + 1002, + 3365 + ], + [ + 4980, + 6503 + ], + [ + 1119, + 3950 + ], + [ + 6604, + 7757 + ], + [ + 2524, + 11512 + ], + [ + 3142, + 3977 + ], + [ + 7591, + 8198 + ], + [ + 128, + 10156 + ], + [ + 8125, + 11515 + ], + [ + 1026, + 4890 + ], + [ + 4171, + 7273 + ], + [ + 2757, + 6795 + ], + [ + 2545, + 8602 + ], + [ + 9823, + 11028 + ], + [ + 251, + 8277 + ], + [ + 96, + 10618 + ], + [ + 10354, + 10664 + ], + [ + 495, + 2221 + ], + [ + 6737, + 9225 + ], + [ + 6222, + 7813 + ], + [ + 1585, + 9957 + ], + [ + 1015, + 9612 + ], + [ + 5502, + 8655 + ], + [ + 8361, + 10452 + ], + [ + 109, + 1404 + ], + [ + 3249, + 3443 + ], + [ + 296, + 7646 + ], + [ + 2725, + 7607 + ], + [ + 3551, + 7191 + ], + [ + 538, + 7179 + ], + [ + 3088, + 5969 + ], + [ + 4207, + 5775 + ], + [ + 3931, + 10795 + ], + [ + 4019, + 6478 + ], + [ + 7038, + 9688 + ], + [ + 319, + 9700 + ], + [ + 816, + 3336 + ], + [ + 9100, + 11141 + ], + [ + 2454, + 5050 + ], + [ + 6261, + 9996 + ], + [ + 7536, + 7686 + ], + [ + 4576, + 10718 + ], + [ + 1491, + 1970 + ], + [ + 1931, + 6406 + ], + [ + 998, + 8453 + ], + [ + 1077, + 7056 + ], + [ + 1488, + 5836 + ], + [ + 593, + 4203 + ], + [ + 1369, + 4424 + ], + [ + 2479, + 3767 + ], + [ + 10018, + 10664 + ], + [ + 3289, + 9234 + ], + [ + 1056, + 6179 + ], + [ + 4968, + 10195 + ], + [ + 855, + 1759 + ], + [ + 400, + 4562 + ], + [ + 7177, + 8692 + ], + [ + 1800, + 6862 + ], + [ + 1542, + 6072 + ], + [ + 957, + 3167 + ], + [ + 7415, + 11489 + ], + [ + 9641, + 11091 + ], + [ + 2883, + 4759 + ], + [ + 3468, + 7664 + ], + [ + 5618, + 8964 + ], + [ + 1002, + 1405 + ], + [ + 6889, + 9164 + ], + [ + 757, + 5738 + ], + [ + 9227, + 9761 + ], + [ + 171, + 11276 + ], + [ + 3296, + 5867 + ], + [ + 3650, + 6365 + ], + [ + 3958, + 4266 + ], + [ + 4773, + 10077 + ], + [ + 5076, + 7634 + ], + [ + 3422, + 7669 + ], + [ + 8468, + 9894 + ], + [ + 712, + 5214 + ], + [ + 1644, + 5194 + ], + [ + 6219, + 6336 + ], + [ + 3763, + 7181 + ], + [ + 2617, + 5929 + ], + [ + 807, + 5451 + ], + [ + 2431, + 2541 + ], + [ + 1586, + 5189 + ], + [ + 8805, + 9664 + ], + [ + 2924, + 10021 + ], + [ + 33, + 5276 + ], + [ + 2889, + 7556 + ], + [ + 7154, + 9216 + ], + [ + 6459, + 8425 + ], + [ + 4189, + 6242 + ], + [ + 677, + 8761 + ], + [ + 5808, + 7152 + ], + [ + 820, + 8315 + ], + [ + 305, + 487 + ], + [ + 3725, + 11211 + ], + [ + 3751, + 10180 + ], + [ + 3227, + 10180 + ], + [ + 2697, + 7736 + ], + [ + 7053, + 9514 + ], + [ + 1819, + 7238 + ], + [ + 5360, + 9621 + ], + [ + 1404, + 2300 + ], + [ + 4805, + 8810 + ], + [ + 2842, + 7336 + ], + [ + 4304, + 10514 + ], + [ + 2396, + 9501 + ], + [ + 226, + 3762 + ], + [ + 4833, + 7071 + ], + [ + 1280, + 3173 + ], + [ + 4884, + 10042 + ], + [ + 7778, + 8642 + ], + [ + 5843, + 6183 + ], + [ + 6307, + 11013 + ], + [ + 6568, + 9068 + ], + [ + 9271, + 10352 + ], + [ + 1733, + 7063 + ], + [ + 453, + 2613 + ], + [ + 1959, + 6063 + ], + [ + 1360, + 11396 + ], + [ + 6179, + 8734 + ], + [ + 265, + 6699 + ], + [ + 4002, + 6742 + ], + [ + 3281, + 6228 + ], + [ + 2221, + 7002 + ], + [ + 2966, + 4904 + ], + [ + 5116, + 8456 + ], + [ + 3213, + 11197 + ], + [ + 5365, + 9160 + ], + [ + 3617, + 5396 + ], + [ + 1232, + 9117 + ], + [ + 5860, + 6887 + ], + [ + 4609, + 10345 + ], + [ + 5770, + 10377 + ], + [ + 2439, + 5360 + ], + [ + 9906, + 9937 + ], + [ + 7557, + 9181 + ], + [ + 685, + 1027 + ], + [ + 5172, + 6486 + ], + [ + 7806, + 9885 + ], + [ + 10209, + 10877 + ], + [ + 2556, + 2912 + ], + [ + 4817, + 8015 + ], + [ + 1213, + 10945 + ], + [ + 34, + 9553 + ], + [ + 9046, + 11149 + ], + [ + 6463, + 10721 + ], + [ + 21, + 2151 + ], + [ + 3909, + 8025 + ], + [ + 7641, + 7724 + ], + [ + 2288, + 4036 + ], + [ + 6176, + 9910 + ], + [ + 2912, + 10279 + ], + [ + 1231, + 8491 + ], + [ + 5520, + 9047 + ], + [ + 9571, + 10189 + ], + [ + 2653, + 5854 + ], + [ + 4932, + 11506 + ], + [ + 4208, + 5813 + ], + [ + 8456, + 10179 + ], + [ + 8505, + 10394 + ], + [ + 7722, + 9002 + ], + [ + 8190, + 9070 + ], + [ + 1371, + 11130 + ], + [ + 7570, + 9362 + ], + [ + 3, + 6833 + ], + [ + 4956, + 6615 + ], + [ + 6255, + 8863 + ], + [ + 5016, + 7420 + ], + [ + 3173, + 10966 + ], + [ + 7502, + 7915 + ], + [ + 191, + 10267 + ], + [ + 10120, + 11535 + ], + [ + 8494, + 8700 + ], + [ + 5168, + 8191 + ], + [ + 2492, + 10982 + ], + [ + 5415, + 8068 + ], + [ + 310, + 8646 + ], + [ + 2541, + 10874 + ], + [ + 5626, + 6036 + ], + [ + 2200, + 10581 + ], + [ + 5837, + 6256 + ], + [ + 300, + 761 + ], + [ + 4374, + 10023 + ], + [ + 9348, + 10682 + ], + [ + 4186, + 9972 + ], + [ + 5841, + 7129 + ], + [ + 7021, + 11375 + ], + [ + 1381, + 4247 + ], + [ + 6924, + 7278 + ], + [ + 9376, + 9697 + ], + [ + 2409, + 4689 + ], + [ + 979, + 10094 + ], + [ + 2009, + 7199 + ], + [ + 970, + 5844 + ], + [ + 4213, + 5352 + ], + [ + 4925, + 7278 + ], + [ + 523, + 2122 + ], + [ + 877, + 2620 + ], + [ + 6448, + 7699 + ], + [ + 5613, + 11035 + ], + [ + 2580, + 8893 + ], + [ + 8782, + 11560 + ], + [ + 998, + 10494 + ], + [ + 7968, + 8603 + ], + [ + 10232, + 10971 + ], + [ + 120, + 10750 + ], + [ + 1185, + 3904 + ], + [ + 3516, + 9746 + ], + [ + 8358, + 8788 + ], + [ + 1730, + 7410 + ], + [ + 1203, + 10899 + ], + [ + 711, + 8185 + ], + [ + 8732, + 10692 + ], + [ + 5031, + 10306 + ], + [ + 4318, + 8155 + ], + [ + 4694, + 10886 + ], + [ + 6802, + 8577 + ], + [ + 5812, + 7838 + ], + [ + 2531, + 8600 + ], + [ + 5806, + 7269 + ], + [ + 608, + 7656 + ], + [ + 3498, + 8766 + ], + [ + 5979, + 11169 + ], + [ + 3023, + 5275 + ], + [ + 165, + 7086 + ], + [ + 406, + 3011 + ], + [ + 9186, + 11397 + ], + [ + 509, + 10279 + ], + [ + 1834, + 4326 + ], + [ + 7838, + 8506 + ], + [ + 3335, + 7432 + ], + [ + 1243, + 3858 + ], + [ + 2576, + 11352 + ], + [ + 2235, + 8807 + ], + [ + 3690, + 4398 + ], + [ + 2858, + 4999 + ], + [ + 7302, + 8876 + ], + [ + 3162, + 5410 + ], + [ + 2475, + 4480 + ], + [ + 3836, + 7606 + ], + [ + 3464, + 11410 + ], + [ + 2944, + 9654 + ], + [ + 637, + 1954 + ], + [ + 1165, + 4325 + ], + [ + 5518, + 6586 + ], + [ + 1502, + 7128 + ], + [ + 612, + 10003 + ], + [ + 9220, + 9826 + ], + [ + 4003, + 9409 + ], + [ + 10097, + 10099 + ], + [ + 515, + 10070 + ], + [ + 3965, + 6673 + ], + [ + 4836, + 9383 + ], + [ + 244, + 4130 + ], + [ + 7012, + 11150 + ], + [ + 42, + 7379 + ], + [ + 8187, + 9390 + ], + [ + 2985, + 5117 + ], + [ + 2670, + 10209 + ], + [ + 3694, + 4116 + ], + [ + 4636, + 4784 + ], + [ + 2081, + 10568 + ], + [ + 2638, + 5009 + ], + [ + 652, + 8247 + ], + [ + 6275, + 7100 + ], + [ + 2455, + 5302 + ], + [ + 1895, + 4147 + ], + [ + 2608, + 9681 + ], + [ + 4000, + 7956 + ], + [ + 5901, + 7798 + ], + [ + 6966, + 8122 + ], + [ + 3752, + 7854 + ], + [ + 2157, + 11502 + ], + [ + 3354, + 7027 + ], + [ + 3693, + 10657 + ], + [ + 1824, + 8818 + ], + [ + 10274, + 11465 + ], + [ + 2381, + 7423 + ], + [ + 9781, + 11532 + ], + [ + 6979, + 9488 + ], + [ + 5867, + 9318 + ], + [ + 6292, + 7804 + ], + [ + 528, + 9500 + ], + [ + 6047, + 7973 + ], + [ + 496, + 9962 + ], + [ + 9501, + 11111 + ], + [ + 1559, + 7207 + ], + [ + 5951, + 10894 + ], + [ + 652, + 4059 + ], + [ + 4576, + 10344 + ], + [ + 5224, + 11319 + ], + [ + 8995, + 10192 + ], + [ + 4656, + 5385 + ], + [ + 8869, + 11019 + ], + [ + 8122, + 10038 + ], + [ + 180, + 8386 + ], + [ + 3506, + 6643 + ], + [ + 3820, + 8496 + ], + [ + 1889, + 2773 + ], + [ + 550, + 10548 + ], + [ + 9602, + 11543 + ], + [ + 447, + 9669 + ], + [ + 1567, + 7448 + ], + [ + 4985, + 10929 + ], + [ + 4780, + 7491 + ], + [ + 2693, + 4261 + ], + [ + 3803, + 10020 + ], + [ + 5614, + 11100 + ], + [ + 3682, + 5529 + ], + [ + 3522, + 7526 + ], + [ + 8105, + 8529 + ], + [ + 6539, + 10663 + ], + [ + 9648, + 10383 + ], + [ + 6232, + 6948 + ], + [ + 3577, + 10616 + ], + [ + 4614, + 8892 + ], + [ + 70, + 7817 + ], + [ + 2993, + 4903 + ], + [ + 1016, + 5251 + ], + [ + 8868, + 10393 + ], + [ + 327, + 1242 + ], + [ + 8891, + 11316 + ], + [ + 4168, + 8024 + ], + [ + 6774, + 9375 + ], + [ + 1136, + 3074 + ], + [ + 6120, + 8585 + ], + [ + 1457, + 5344 + ], + [ + 3229, + 7250 + ], + [ + 4159, + 7157 + ], + [ + 4064, + 8051 + ], + [ + 2995, + 10237 + ], + [ + 3000, + 11335 + ], + [ + 1792, + 11457 + ], + [ + 696, + 3152 + ], + [ + 6637, + 7010 + ], + [ + 4398, + 6392 + ], + [ + 3030, + 6259 + ], + [ + 11033, + 11570 + ], + [ + 8380, + 9649 + ], + [ + 7345, + 11419 + ], + [ + 4329, + 5474 + ], + [ + 6849, + 7805 + ], + [ + 4196, + 5884 + ], + [ + 10933, + 11339 + ], + [ + 7321, + 10244 + ], + [ + 5855, + 9576 + ], + [ + 2861, + 7362 + ], + [ + 2797, + 9821 + ], + [ + 5186, + 6973 + ], + [ + 3565, + 8646 + ], + [ + 3651, + 7666 + ], + [ + 7984, + 8494 + ], + [ + 3340, + 9467 + ], + [ + 43, + 1028 + ], + [ + 165, + 2711 + ], + [ + 5679, + 7256 + ], + [ + 6054, + 6379 + ], + [ + 8874, + 9002 + ], + [ + 1005, + 3102 + ], + [ + 3861, + 5382 + ], + [ + 502, + 2481 + ], + [ + 2052, + 7758 + ], + [ + 3027, + 11572 + ], + [ + 8032, + 11544 + ], + [ + 90, + 9892 + ], + [ + 3959, + 11552 + ], + [ + 163, + 8650 + ], + [ + 2840, + 8713 + ], + [ + 1553, + 10262 + ], + [ + 2463, + 6511 + ], + [ + 6150, + 8719 + ], + [ + 4388, + 5249 + ], + [ + 2912, + 3139 + ], + [ + 6473, + 7652 + ], + [ + 7722, + 9783 + ], + [ + 313, + 8594 + ], + [ + 8328, + 11313 + ], + [ + 7219, + 9162 + ], + [ + 4411, + 9582 + ], + [ + 5290, + 6518 + ], + [ + 2599, + 8277 + ], + [ + 7645, + 11256 + ], + [ + 3849, + 7600 + ], + [ + 5750, + 8196 + ], + [ + 4988, + 5429 + ], + [ + 3884, + 10038 + ], + [ + 3540, + 10228 + ], + [ + 2248, + 4263 + ], + [ + 665, + 3010 + ], + [ + 6865, + 10512 + ], + [ + 1437, + 1577 + ], + [ + 1039, + 11330 + ], + [ + 1562, + 6187 + ], + [ + 256, + 7686 + ], + [ + 2553, + 8282 + ], + [ + 3686, + 6266 + ], + [ + 1067, + 3175 + ], + [ + 2273, + 9396 + ], + [ + 1130, + 7661 + ], + [ + 6727, + 7545 + ], + [ + 8129, + 10672 + ], + [ + 7793, + 10723 + ], + [ + 7975, + 10205 + ], + [ + 3303, + 9130 + ], + [ + 841, + 10941 + ], + [ + 399, + 3426 + ], + [ + 6909, + 10410 + ], + [ + 2733, + 7287 + ], + [ + 3158, + 5773 + ], + [ + 955, + 11228 + ], + [ + 3043, + 5234 + ], + [ + 2723, + 5818 + ], + [ + 1083, + 7441 + ], + [ + 1267, + 10002 + ], + [ + 5281, + 8633 + ], + [ + 9348, + 10308 + ], + [ + 2011, + 10685 + ], + [ + 3403, + 8960 + ], + [ + 6297, + 7560 + ], + [ + 579, + 8847 + ], + [ + 2164, + 5265 + ], + [ + 4032, + 9131 + ], + [ + 353, + 6814 + ], + [ + 7204, + 9927 + ], + [ + 5606, + 6888 + ], + [ + 8558, + 8876 + ], + [ + 561, + 1101 + ], + [ + 7594, + 9358 + ], + [ + 6828, + 10579 + ], + [ + 5766, + 7520 + ], + [ + 3543, + 5183 + ], + [ + 5922, + 8033 + ], + [ + 2462, + 4326 + ], + [ + 3150, + 8864 + ], + [ + 2235, + 5855 + ], + [ + 27, + 10212 + ], + [ + 1589, + 11342 + ], + [ + 3389, + 4716 + ], + [ + 2893, + 6764 + ], + [ + 5596, + 8802 + ], + [ + 128, + 4602 + ], + [ + 4416, + 11349 + ], + [ + 2945, + 3921 + ], + [ + 362, + 9909 + ], + [ + 2913, + 5137 + ], + [ + 3501, + 5307 + ], + [ + 3444, + 4773 + ], + [ + 419, + 994 + ], + [ + 859, + 7682 + ], + [ + 761, + 4141 + ], + [ + 1793, + 8489 + ], + [ + 2132, + 7955 + ], + [ + 4996, + 7844 + ], + [ + 2224, + 4511 + ], + [ + 2841, + 3167 + ], + [ + 1096, + 3838 + ], + [ + 2276, + 10336 + ], + [ + 1185, + 8791 + ], + [ + 9903, + 10664 + ], + [ + 5137, + 6544 + ], + [ + 3986, + 4948 + ], + [ + 3650, + 11415 + ], + [ + 3712, + 5877 + ], + [ + 4946, + 6976 + ], + [ + 1595, + 3936 + ], + [ + 3799, + 8505 + ], + [ + 2328, + 7493 + ], + [ + 7591, + 8255 + ], + [ + 10011, + 11136 + ], + [ + 2731, + 7883 + ], + [ + 902, + 3191 + ], + [ + 9823, + 11085 + ], + [ + 6225, + 8168 + ], + [ + 1949, + 7847 + ], + [ + 1959, + 8535 + ], + [ + 2668, + 6780 + ], + [ + 1828, + 9772 + ], + [ + 3103, + 6708 + ], + [ + 2578, + 8018 + ], + [ + 155, + 4839 + ], + [ + 6034, + 8573 + ], + [ + 3868, + 6016 + ], + [ + 3400, + 3696 + ], + [ + 8606, + 10340 + ], + [ + 1763, + 5590 + ], + [ + 4225, + 4533 + ], + [ + 5116, + 10928 + ], + [ + 1167, + 11194 + ], + [ + 10597, + 10829 + ], + [ + 2190, + 11292 + ], + [ + 1655, + 7750 + ], + [ + 4955, + 7038 + ], + [ + 5964, + 9682 + ], + [ + 5393, + 10647 + ], + [ + 446, + 7647 + ], + [ + 5549, + 11160 + ], + [ + 5821, + 9404 + ], + [ + 8498, + 9467 + ], + [ + 2376, + 6729 + ], + [ + 7479, + 10242 + ], + [ + 9380, + 10084 + ], + [ + 9468, + 9931 + ], + [ + 2338, + 3993 + ], + [ + 9192, + 10787 + ], + [ + 117, + 948 + ], + [ + 736, + 7601 + ], + [ + 6852, + 10494 + ], + [ + 6847, + 10150 + ], + [ + 1147, + 2217 + ], + [ + 7313, + 9391 + ], + [ + 1466, + 10830 + ], + [ + 6520, + 7311 + ], + [ + 5527, + 8553 + ], + [ + 3541, + 6129 + ], + [ + 1820, + 4188 + ], + [ + 3106, + 9584 + ], + [ + 11, + 902 + ], + [ + 2657, + 5816 + ], + [ + 353, + 10465 + ], + [ + 5251, + 10540 + ], + [ + 7359, + 8231 + ], + [ + 7486, + 10258 + ], + [ + 4910, + 10247 + ], + [ + 7140, + 8867 + ], + [ + 5402, + 10709 + ], + [ + 1732, + 5472 + ], + [ + 2532, + 10251 + ], + [ + 512, + 1827 + ], + [ + 10375, + 11143 + ], + [ + 7564, + 8636 + ], + [ + 1564, + 6827 + ], + [ + 7732, + 9910 + ], + [ + 6677, + 11028 + ], + [ + 9977, + 10316 + ], + [ + 1414, + 3850 + ], + [ + 4299, + 11032 + ], + [ + 321, + 1478 + ], + [ + 7791, + 10490 + ], + [ + 7789, + 8165 + ], + [ + 6161, + 8667 + ], + [ + 4540, + 6930 + ], + [ + 6752, + 9108 + ], + [ + 398, + 6801 + ], + [ + 7223, + 8693 + ], + [ + 9642, + 10218 + ], + [ + 1431, + 7587 + ], + [ + 149, + 9480 + ], + [ + 4225, + 8989 + ], + [ + 680, + 9116 + ], + [ + 5501, + 6527 + ], + [ + 6184, + 6557 + ], + [ + 10132, + 10984 + ], + [ + 5254, + 5869 + ], + [ + 5495, + 8964 + ], + [ + 832, + 3471 + ], + [ + 1771, + 7628 + ], + [ + 5183, + 7157 + ], + [ + 8323, + 9196 + ], + [ + 2376, + 11185 + ], + [ + 8611, + 9828 + ], + [ + 5488, + 8924 + ], + [ + 445, + 6216 + ], + [ + 1198, + 11149 + ], + [ + 8626, + 10136 + ], + [ + 1868, + 3804 + ], + [ + 3474, + 10868 + ], + [ + 138, + 4753 + ], + [ + 2932, + 6155 + ], + [ + 2469, + 8343 + ], + [ + 315, + 10307 + ], + [ + 913, + 4749 + ], + [ + 4822, + 5838 + ], + [ + 5771, + 7677 + ], + [ + 6048, + 10429 + ], + [ + 2643, + 9435 + ], + [ + 1777, + 10452 + ], + [ + 4788, + 9637 + ], + [ + 9428, + 11174 + ], + [ + 4268, + 7881 + ], + [ + 4235, + 5489 + ], + [ + 2234, + 7695 + ], + [ + 5570, + 7394 + ], + [ + 2232, + 11032 + ], + [ + 9928, + 9999 + ], + [ + 3259, + 8620 + ], + [ + 215, + 7043 + ], + [ + 278, + 4359 + ], + [ + 7704, + 9689 + ], + [ + 6026, + 10828 + ], + [ + 7055, + 9243 + ], + [ + 1800, + 8342 + ], + [ + 3125, + 8805 + ], + [ + 8491, + 11200 + ], + [ + 614, + 3527 + ], + [ + 4442, + 9350 + ], + [ + 7239, + 8017 + ], + [ + 7645, + 9459 + ], + [ + 8421, + 8926 + ], + [ + 324, + 10369 + ], + [ + 1506, + 4862 + ], + [ + 5434, + 7883 + ], + [ + 4313, + 10633 + ], + [ + 4437, + 5973 + ], + [ + 7207, + 9233 + ], + [ + 2217, + 3153 + ], + [ + 6537, + 9438 + ], + [ + 2533, + 5079 + ], + [ + 6196, + 9145 + ], + [ + 74, + 6407 + ], + [ + 480, + 1433 + ], + [ + 3773, + 10130 + ], + [ + 1034, + 2773 + ], + [ + 4590, + 6188 + ], + [ + 4208, + 10058 + ], + [ + 3730, + 7050 + ], + [ + 906, + 9189 + ], + [ + 2957, + 6346 + ], + [ + 6472, + 7508 + ], + [ + 7442, + 10978 + ], + [ + 4584, + 5619 + ], + [ + 224, + 7105 + ], + [ + 2581, + 7752 + ], + [ + 10113, + 11226 + ], + [ + 163, + 2665 + ], + [ + 7527, + 10527 + ], + [ + 10051, + 10348 + ], + [ + 3507, + 7917 + ], + [ + 2705, + 6475 + ], + [ + 8152, + 9798 + ], + [ + 614, + 5755 + ], + [ + 3513, + 8863 + ], + [ + 736, + 5186 + ], + [ + 7766, + 9762 + ], + [ + 4089, + 7518 + ], + [ + 8851, + 10738 + ], + [ + 2015, + 9411 + ], + [ + 5528, + 9746 + ], + [ + 9327, + 10667 + ], + [ + 1631, + 6038 + ], + [ + 46, + 9620 + ], + [ + 3121, + 4848 + ], + [ + 791, + 1860 + ], + [ + 7210, + 8726 + ], + [ + 1850, + 10283 + ], + [ + 3073, + 11193 + ], + [ + 971, + 6931 + ], + [ + 2370, + 6377 + ], + [ + 2471, + 6429 + ], + [ + 1783, + 2645 + ], + [ + 2352, + 9181 + ], + [ + 2311, + 2764 + ], + [ + 1378, + 4811 + ], + [ + 1500, + 3488 + ], + [ + 8571, + 8819 + ], + [ + 563, + 8799 + ], + [ + 3401, + 7467 + ], + [ + 4855, + 6620 + ], + [ + 6324, + 10969 + ], + [ + 8507, + 10497 + ], + [ + 7874, + 9830 + ], + [ + 3335, + 9099 + ], + [ + 4137, + 10541 + ], + [ + 3822, + 9217 + ], + [ + 8654, + 10924 + ], + [ + 3955, + 8026 + ], + [ + 5476, + 6149 + ], + [ + 940, + 11351 + ], + [ + 4627, + 6389 + ], + [ + 243, + 7481 + ], + [ + 4138, + 10362 + ], + [ + 6896, + 9101 + ], + [ + 9294, + 10503 + ], + [ + 2787, + 7954 + ], + [ + 9643, + 10657 + ], + [ + 4447, + 4701 + ], + [ + 1258, + 6183 + ], + [ + 10915, + 11459 + ], + [ + 3405, + 3802 + ], + [ + 3783, + 8858 + ], + [ + 3284, + 4973 + ], + [ + 5400, + 9695 + ], + [ + 760, + 1742 + ], + [ + 2900, + 8016 + ], + [ + 1076, + 3668 + ], + [ + 8791, + 9101 + ], + [ + 1105, + 2154 + ], + [ + 2908, + 6379 + ], + [ + 8570, + 10822 + ], + [ + 2524, + 9422 + ], + [ + 1806, + 6173 + ], + [ + 1437, + 11002 + ], + [ + 6141, + 7828 + ], + [ + 281, + 2646 + ], + [ + 3775, + 5183 + ], + [ + 124, + 10576 + ], + [ + 3142, + 5270 + ], + [ + 2901, + 8591 + ], + [ + 7247, + 9681 + ], + [ + 36, + 2061 + ], + [ + 3367, + 7832 + ], + [ + 5476, + 8377 + ], + [ + 1778, + 8262 + ], + [ + 1358, + 8642 + ], + [ + 5475, + 11158 + ], + [ + 9459, + 11078 + ], + [ + 56, + 6850 + ], + [ + 5214, + 9316 + ], + [ + 10174, + 10269 + ], + [ + 5411, + 10584 + ], + [ + 521, + 8118 + ], + [ + 3501, + 5738 + ], + [ + 8664, + 9302 + ], + [ + 7674, + 8563 + ], + [ + 9129, + 10570 + ], + [ + 3248, + 10927 + ], + [ + 3090, + 3925 + ], + [ + 473, + 1661 + ], + [ + 2057, + 5768 + ], + [ + 3932, + 11559 + ], + [ + 6045, + 9594 + ], + [ + 3677, + 10286 + ], + [ + 631, + 1466 + ], + [ + 4767, + 5944 + ], + [ + 7077, + 10909 + ], + [ + 6979, + 8122 + ], + [ + 7003, + 8516 + ], + [ + 7318, + 7588 + ], + [ + 3488, + 5102 + ], + [ + 833, + 8770 + ], + [ + 6703, + 8224 + ], + [ + 6404, + 7433 + ], + [ + 5196, + 5303 + ], + [ + 7090, + 10390 + ], + [ + 999, + 7719 + ], + [ + 4827, + 9378 + ], + [ + 2141, + 11481 + ], + [ + 6778, + 9337 + ], + [ + 1344, + 10383 + ], + [ + 2961, + 11220 + ], + [ + 551, + 2641 + ], + [ + 872, + 11327 + ], + [ + 4071, + 4147 + ], + [ + 8833, + 10777 + ], + [ + 3141, + 3459 + ], + [ + 4562, + 10800 + ], + [ + 2640, + 10081 + ], + [ + 7048, + 7885 + ], + [ + 828, + 8776 + ], + [ + 8023, + 8693 + ], + [ + 769, + 7415 + ], + [ + 8733, + 10546 + ], + [ + 5092, + 10965 + ], + [ + 7210, + 9344 + ], + [ + 8894, + 11403 + ], + [ + 3657, + 5446 + ], + [ + 2444, + 2972 + ], + [ + 4178, + 10810 + ], + [ + 7574, + 10560 + ], + [ + 1965, + 9161 + ], + [ + 5867, + 6797 + ], + [ + 2875, + 5410 + ], + [ + 6949, + 10508 + ], + [ + 2908, + 11185 + ], + [ + 10406, + 10911 + ], + [ + 74, + 6220 + ], + [ + 4730, + 8290 + ], + [ + 1182, + 4736 + ], + [ + 528, + 10362 + ], + [ + 7006, + 8009 + ], + [ + 3952, + 5744 + ], + [ + 1690, + 6832 + ], + [ + 1098, + 9926 + ], + [ + 255, + 2067 + ], + [ + 9962, + 10870 + ], + [ + 848, + 2581 + ], + [ + 7257, + 8759 + ], + [ + 7307, + 8122 + ], + [ + 738, + 4695 + ], + [ + 32, + 2961 + ], + [ + 301, + 7323 + ], + [ + 8649, + 10417 + ], + [ + 5782, + 7224 + ], + [ + 8151, + 9386 + ], + [ + 1642, + 10174 + ], + [ + 4840, + 5021 + ], + [ + 3560, + 7741 + ], + [ + 6450, + 8851 + ], + [ + 6463, + 7558 + ], + [ + 4066, + 9764 + ], + [ + 4159, + 5791 + ], + [ + 5243, + 10329 + ], + [ + 175, + 9254 + ], + [ + 1248, + 8715 + ], + [ + 317, + 11589 + ], + [ + 4023, + 9313 + ], + [ + 164, + 1925 + ], + [ + 7049, + 10284 + ], + [ + 10619, + 11153 + ], + [ + 6512, + 10079 + ], + [ + 7966, + 9232 + ], + [ + 5318, + 7655 + ], + [ + 7198, + 7374 + ], + [ + 7155, + 10710 + ], + [ + 1155, + 9655 + ], + [ + 3364, + 7398 + ], + [ + 2545, + 10513 + ], + [ + 7407, + 10931 + ], + [ + 1469, + 10754 + ], + [ + 5129, + 8133 + ], + [ + 3582, + 8789 + ], + [ + 3264, + 3784 + ], + [ + 60, + 10620 + ], + [ + 2386, + 9702 + ], + [ + 655, + 1381 + ], + [ + 896, + 4476 + ], + [ + 23, + 5076 + ], + [ + 7748, + 8191 + ], + [ + 2053, + 7772 + ], + [ + 5007, + 6423 + ], + [ + 5434, + 5736 + ], + [ + 1423, + 7376 + ], + [ + 699, + 7345 + ], + [ + 7302, + 10356 + ], + [ + 2942, + 4672 + ], + [ + 2422, + 9332 + ], + [ + 2596, + 4035 + ], + [ + 4404, + 7850 + ], + [ + 827, + 5810 + ], + [ + 9786, + 10778 + ], + [ + 3385, + 8625 + ], + [ + 8643, + 9043 + ], + [ + 3662, + 7213 + ], + [ + 4004, + 10360 + ], + [ + 363, + 4363 + ], + [ + 8148, + 8283 + ], + [ + 6116, + 8924 + ], + [ + 8196, + 10983 + ], + [ + 6332, + 7236 + ], + [ + 384, + 2207 + ], + [ + 917, + 9086 + ], + [ + 4358, + 7855 + ], + [ + 5920, + 8231 + ], + [ + 4079, + 8440 + ], + [ + 8573, + 10906 + ], + [ + 1715, + 6622 + ], + [ + 101, + 3804 + ], + [ + 1040, + 7207 + ], + [ + 5486, + 5495 + ], + [ + 200, + 9445 + ], + [ + 9130, + 9511 + ], + [ + 7531, + 9253 + ], + [ + 4857, + 8707 + ], + [ + 2331, + 5807 + ], + [ + 6905, + 8976 + ], + [ + 778, + 5894 + ], + [ + 1652, + 2486 + ], + [ + 3479, + 7105 + ], + [ + 4855, + 9011 + ], + [ + 4315, + 5125 + ], + [ + 8734, + 10635 + ], + [ + 8546, + 11338 + ], + [ + 2140, + 2425 + ], + [ + 1599, + 7736 + ], + [ + 3155, + 8297 + ], + [ + 4285, + 9016 + ], + [ + 2410, + 3225 + ], + [ + 3120, + 5078 + ], + [ + 2903, + 7295 + ], + [ + 4527, + 8549 + ], + [ + 1464, + 2034 + ], + [ + 3673, + 6947 + ], + [ + 2214, + 7450 + ], + [ + 5646, + 9109 + ], + [ + 3929, + 11074 + ], + [ + 684, + 5077 + ], + [ + 10642, + 11247 + ], + [ + 5791, + 8709 + ], + [ + 216, + 6140 + ], + [ + 4507, + 7523 + ], + [ + 2702, + 3225 + ], + [ + 6057, + 6384 + ], + [ + 5781, + 11404 + ], + [ + 327, + 6910 + ], + [ + 891, + 8938 + ], + [ + 2262, + 6336 + ], + [ + 7427, + 10727 + ], + [ + 491, + 5032 + ], + [ + 422, + 9399 + ], + [ + 47, + 8024 + ], + [ + 4757, + 10300 + ], + [ + 705, + 3271 + ], + [ + 6271, + 8006 + ], + [ + 1718, + 8343 + ], + [ + 2841, + 5639 + ], + [ + 8228, + 8911 + ], + [ + 3214, + 11105 + ], + [ + 5521, + 5973 + ], + [ + 1722, + 9216 + ], + [ + 2966, + 4587 + ], + [ + 3768, + 6029 + ], + [ + 7420, + 9906 + ], + [ + 2187, + 10484 + ], + [ + 2, + 10883 + ], + [ + 3529, + 9396 + ], + [ + 1192, + 9401 + ], + [ + 7190, + 10383 + ], + [ + 4301, + 5711 + ], + [ + 6761, + 7237 + ], + [ + 4478, + 11265 + ], + [ + 4889, + 5881 + ], + [ + 752, + 8348 + ], + [ + 6217, + 6615 + ], + [ + 6235, + 11328 + ], + [ + 4076, + 6532 + ], + [ + 4260, + 9093 + ], + [ + 1373, + 5248 + ], + [ + 2264, + 5227 + ], + [ + 187, + 433 + ], + [ + 10360, + 10729 + ], + [ + 1272, + 1409 + ], + [ + 4172, + 9623 + ], + [ + 4566, + 7298 + ], + [ + 2919, + 10002 + ], + [ + 328, + 2543 + ], + [ + 4524, + 7072 + ], + [ + 2884, + 5285 + ], + [ + 950, + 2297 + ], + [ + 8546, + 9728 + ], + [ + 1889, + 3448 + ], + [ + 3809, + 10510 + ], + [ + 3227, + 4870 + ], + [ + 667, + 6146 + ], + [ + 3647, + 3766 + ], + [ + 7886, + 10621 + ], + [ + 4586, + 11333 + ], + [ + 6862, + 11052 + ], + [ + 2194, + 7467 + ], + [ + 3503, + 3987 + ], + [ + 93, + 6059 + ], + [ + 4676, + 7062 + ], + [ + 3184, + 11589 + ], + [ + 261, + 1671 + ], + [ + 476, + 5797 + ], + [ + 6177, + 10168 + ], + [ + 5955, + 11287 + ], + [ + 2053, + 7235 + ], + [ + 5511, + 7863 + ], + [ + 91, + 2199 + ], + [ + 3241, + 4926 + ], + [ + 837, + 3709 + ], + [ + 4740, + 11369 + ], + [ + 370, + 11413 + ], + [ + 991, + 1143 + ], + [ + 2362, + 4957 + ], + [ + 182, + 5700 + ], + [ + 2549, + 11199 + ], + [ + 3473, + 7154 + ], + [ + 6906, + 10169 + ], + [ + 2978, + 6394 + ], + [ + 361, + 10546 + ], + [ + 4905, + 5959 + ], + [ + 4189, + 6543 + ], + [ + 7361, + 10749 + ], + [ + 3655, + 10019 + ], + [ + 1356, + 8596 + ], + [ + 2109, + 7113 + ], + [ + 1820, + 7010 + ], + [ + 377, + 1630 + ], + [ + 6739, + 7962 + ], + [ + 3468, + 10543 + ], + [ + 2240, + 2873 + ], + [ + 5481, + 11380 + ], + [ + 5488, + 6135 + ], + [ + 3268, + 3315 + ], + [ + 2887, + 3623 + ], + [ + 4941, + 7844 + ], + [ + 483, + 8041 + ], + [ + 6895, + 7320 + ], + [ + 761, + 7231 + ], + [ + 10640, + 11388 + ], + [ + 2356, + 4337 + ], + [ + 3601, + 8978 + ], + [ + 6545, + 6941 + ], + [ + 2761, + 7806 + ], + [ + 4869, + 5497 + ], + [ + 3506, + 5708 + ], + [ + 7057, + 8779 + ], + [ + 3352, + 5241 + ], + [ + 225, + 9853 + ], + [ + 820, + 4778 + ], + [ + 9006, + 9042 + ], + [ + 4582, + 5817 + ], + [ + 2273, + 10876 + ], + [ + 3220, + 5472 + ], + [ + 1030, + 5527 + ], + [ + 8841, + 10668 + ], + [ + 649, + 5835 + ], + [ + 3233, + 9871 + ], + [ + 5822, + 10087 + ], + [ + 6691, + 10499 + ], + [ + 6567, + 8743 + ], + [ + 2981, + 8869 + ], + [ + 1210, + 7565 + ], + [ + 3481, + 6940 + ], + [ + 8269, + 10627 + ], + [ + 7548, + 8615 + ], + [ + 1605, + 8094 + ], + [ + 2260, + 3070 + ], + [ + 1797, + 1848 + ], + [ + 3506, + 11319 + ], + [ + 6278, + 8990 + ], + [ + 784, + 933 + ], + [ + 45, + 10393 + ], + [ + 8316, + 10823 + ], + [ + 2567, + 7135 + ], + [ + 4084, + 10020 + ], + [ + 1154, + 3095 + ], + [ + 2988, + 8885 + ], + [ + 9130, + 10747 + ], + [ + 914, + 10024 + ], + [ + 782, + 1237 + ], + [ + 436, + 600 + ], + [ + 1781, + 3193 + ], + [ + 1877, + 2901 + ], + [ + 10557, + 10706 + ], + [ + 1371, + 11431 + ], + [ + 230, + 6359 + ], + [ + 7441, + 7563 + ], + [ + 5814, + 6038 + ], + [ + 8492, + 8955 + ], + [ + 8218, + 10638 + ], + [ + 5606, + 8718 + ], + [ + 6263, + 6773 + ], + [ + 179, + 9053 + ], + [ + 4380, + 6756 + ], + [ + 395, + 7365 + ], + [ + 2666, + 6740 + ], + [ + 4875, + 10899 + ], + [ + 3385, + 5673 + ], + [ + 5873, + 10001 + ], + [ + 4978, + 8368 + ], + [ + 5850, + 8297 + ], + [ + 636, + 6673 + ], + [ + 4477, + 7039 + ], + [ + 1129, + 10743 + ], + [ + 6806, + 9802 + ], + [ + 5080, + 8271 + ], + [ + 2874, + 7039 + ], + [ + 190, + 5805 + ], + [ + 3464, + 3872 + ], + [ + 4456, + 11073 + ], + [ + 1686, + 8567 + ], + [ + 5206, + 10073 + ], + [ + 6812, + 9997 + ], + [ + 3804, + 10329 + ], + [ + 468, + 4968 + ], + [ + 7312, + 10320 + ], + [ + 1899, + 6581 + ], + [ + 3480, + 11171 + ], + [ + 3951, + 6592 + ], + [ + 3235, + 11340 + ], + [ + 7407, + 10557 + ], + [ + 612, + 10759 + ], + [ + 1424, + 6473 + ], + [ + 4753, + 9165 + ], + [ + 736, + 10236 + ], + [ + 2539, + 9543 + ], + [ + 7269, + 7590 + ], + [ + 736, + 3820 + ], + [ + 2785, + 6566 + ], + [ + 3253, + 8132 + ], + [ + 2511, + 5243 + ], + [ + 541, + 2598 + ], + [ + 6177, + 8826 + ], + [ + 9038, + 9198 + ], + [ + 1068, + 5498 + ], + [ + 1670, + 3846 + ], + [ + 1719, + 10154 + ], + [ + 7080, + 11451 + ], + [ + 1192, + 4221 + ], + [ + 8096, + 10378 + ], + [ + 2710, + 10714 + ], + [ + 3952, + 10176 + ], + [ + 6916, + 9515 + ], + [ + 624, + 8086 + ], + [ + 4886, + 6819 + ], + [ + 679, + 2131 + ], + [ + 1577, + 3281 + ], + [ + 2464, + 10658 + ], + [ + 3447, + 7974 + ], + [ + 1523, + 6428 + ], + [ + 831, + 5154 + ], + [ + 2673, + 8553 + ], + [ + 580, + 11170 + ], + [ + 2075, + 10324 + ], + [ + 3343, + 10253 + ], + [ + 6983, + 10363 + ], + [ + 2726, + 8564 + ], + [ + 2848, + 9493 + ], + [ + 2158, + 9046 + ], + [ + 1452, + 8066 + ], + [ + 1825, + 6362 + ], + [ + 6513, + 11353 + ], + [ + 8970, + 9198 + ], + [ + 503, + 8856 + ], + [ + 2471, + 10674 + ], + [ + 405, + 1905 + ], + [ + 196, + 8147 + ], + [ + 6729, + 9665 + ], + [ + 2123, + 6958 + ], + [ + 4146, + 8483 + ], + [ + 1154, + 7096 + ], + [ + 5051, + 5142 + ], + [ + 526, + 3363 + ], + [ + 1224, + 8589 + ], + [ + 8963, + 9158 + ], + [ + 246, + 10893 + ], + [ + 5540, + 10968 + ], + [ + 146, + 863 + ], + [ + 241, + 7516 + ], + [ + 5931, + 7591 + ], + [ + 709, + 2666 + ], + [ + 6686, + 9187 + ], + [ + 2849, + 9694 + ], + [ + 5245, + 9515 + ], + [ + 83, + 3143 + ], + [ + 2046, + 4617 + ], + [ + 8114, + 10502 + ], + [ + 9630, + 10533 + ], + [ + 1694, + 9827 + ], + [ + 4994, + 9115 + ], + [ + 6556, + 10245 + ], + [ + 4562, + 7206 + ], + [ + 8483, + 9810 + ], + [ + 1439, + 9308 + ], + [ + 728, + 7230 + ], + [ + 8081, + 11493 + ], + [ + 533, + 6762 + ], + [ + 2243, + 3626 + ], + [ + 3373, + 8509 + ], + [ + 3777, + 6872 + ], + [ + 7044, + 10184 + ], + [ + 9656, + 9852 + ], + [ + 2920, + 7251 + ], + [ + 1125, + 1389 + ], + [ + 7132, + 9250 + ], + [ + 6499, + 9337 + ], + [ + 6812, + 7582 + ], + [ + 3269, + 10788 + ], + [ + 7777, + 9954 + ], + [ + 2233, + 3288 + ], + [ + 7308, + 10415 + ], + [ + 8514, + 10220 + ], + [ + 4190, + 10609 + ], + [ + 962, + 6471 + ], + [ + 5060, + 9711 + ], + [ + 3318, + 7647 + ], + [ + 422, + 8220 + ], + [ + 1976, + 2319 + ], + [ + 6616, + 10272 + ], + [ + 2786, + 10038 + ], + [ + 797, + 927 + ], + [ + 7736, + 10303 + ], + [ + 6146, + 7879 + ], + [ + 4186, + 10086 + ], + [ + 3835, + 9105 + ], + [ + 7083, + 8203 + ], + [ + 760, + 8215 + ], + [ + 8702, + 9867 + ], + [ + 1474, + 6804 + ], + [ + 8361, + 9574 + ], + [ + 2592, + 10172 + ], + [ + 4328, + 6005 + ], + [ + 317, + 1229 + ], + [ + 1509, + 6990 + ], + [ + 576, + 9037 + ], + [ + 5581, + 9009 + ], + [ + 2496, + 7431 + ], + [ + 4059, + 11415 + ], + [ + 809, + 11490 + ], + [ + 167, + 881 + ], + [ + 6849, + 8911 + ], + [ + 5194, + 5338 + ], + [ + 3363, + 10399 + ], + [ + 531, + 2097 + ], + [ + 3514, + 10568 + ], + [ + 1117, + 6358 + ], + [ + 6621, + 9461 + ], + [ + 6041, + 6900 + ], + [ + 2075, + 7559 + ], + [ + 120, + 4448 + ], + [ + 1142, + 7354 + ], + [ + 7031, + 11022 + ], + [ + 4257, + 11026 + ], + [ + 2760, + 11045 + ], + [ + 3565, + 9752 + ], + [ + 7297, + 9451 + ], + [ + 1827, + 4424 + ], + [ + 2262, + 10768 + ], + [ + 9791, + 10561 + ], + [ + 9507, + 10802 + ], + [ + 5154, + 6289 + ], + [ + 952, + 4197 + ], + [ + 2529, + 5635 + ], + [ + 4081, + 5323 + ], + [ + 3841, + 5836 + ], + [ + 6826, + 10216 + ], + [ + 4460, + 7571 + ], + [ + 4114, + 6934 + ], + [ + 2531, + 5681 + ], + [ + 7629, + 8096 + ], + [ + 2555, + 3823 + ], + [ + 7381, + 7994 + ], + [ + 5266, + 9132 + ], + [ + 5075, + 10318 + ], + [ + 6472, + 8183 + ], + [ + 6002, + 9954 + ], + [ + 3233, + 3886 + ], + [ + 2923, + 5158 + ], + [ + 7090, + 10447 + ], + [ + 8874, + 10458 + ], + [ + 3914, + 6499 + ], + [ + 1742, + 7103 + ], + [ + 4137, + 8988 + ], + [ + 8063, + 11182 + ], + [ + 4073, + 11447 + ], + [ + 369, + 964 + ], + [ + 3166, + 8299 + ], + [ + 3393, + 4518 + ], + [ + 582, + 2011 + ], + [ + 3515, + 6201 + ], + [ + 1895, + 5066 + ], + [ + 398, + 9249 + ], + [ + 4823, + 8912 + ], + [ + 515, + 9834 + ], + [ + 427, + 7735 + ], + [ + 4028, + 10923 + ], + [ + 5161, + 8907 + ], + [ + 2127, + 7294 + ], + [ + 1411, + 7878 + ], + [ + 2152, + 9044 + ], + [ + 590, + 1498 + ], + [ + 6206, + 9703 + ], + [ + 874, + 11056 + ], + [ + 1025, + 4809 + ], + [ + 4421, + 10975 + ], + [ + 2936, + 6093 + ], + [ + 2370, + 7402 + ], + [ + 190, + 975 + ], + [ + 1776, + 6663 + ], + [ + 2866, + 7983 + ], + [ + 5913, + 9077 + ], + [ + 2921, + 7690 + ], + [ + 9772, + 10803 + ], + [ + 7123, + 9001 + ], + [ + 2950, + 9559 + ], + [ + 7399, + 8118 + ], + [ + 1950, + 3968 + ], + [ + 2845, + 5601 + ], + [ + 2478, + 4087 + ], + [ + 1387, + 5548 + ], + [ + 1788, + 10056 + ], + [ + 10315, + 10449 + ], + [ + 1380, + 8541 + ], + [ + 4274, + 6387 + ], + [ + 107, + 1098 + ], + [ + 4585, + 10975 + ], + [ + 2131, + 10395 + ], + [ + 6169, + 7168 + ], + [ + 2935, + 11129 + ], + [ + 6261, + 9386 + ], + [ + 1419, + 11098 + ], + [ + 7725, + 9227 + ], + [ + 160, + 1863 + ], + [ + 3991, + 7203 + ], + [ + 543, + 847 + ], + [ + 5890, + 11136 + ], + [ + 7125, + 8673 + ], + [ + 2452, + 4744 + ], + [ + 1405, + 9887 + ], + [ + 836, + 1099 + ], + [ + 1585, + 8542 + ], + [ + 4601, + 8825 + ], + [ + 2987, + 5253 + ], + [ + 303, + 4019 + ], + [ + 1084, + 4584 + ], + [ + 6877, + 7790 + ], + [ + 4444, + 8087 + ], + [ + 710, + 8315 + ], + [ + 1763, + 10534 + ], + [ + 1608, + 9465 + ], + [ + 980, + 3480 + ], + [ + 3848, + 7275 + ], + [ + 1953, + 10631 + ], + [ + 4229, + 9596 + ], + [ + 7118, + 7852 + ], + [ + 5650, + 6357 + ], + [ + 863, + 5524 + ], + [ + 978, + 10200 + ], + [ + 6729, + 7518 + ], + [ + 4578, + 6747 + ], + [ + 7423, + 8838 + ], + [ + 226, + 924 + ], + [ + 3406, + 9909 + ], + [ + 2059, + 6489 + ], + [ + 1780, + 4822 + ], + [ + 4918, + 6034 + ], + [ + 10432, + 10579 + ], + [ + 1146, + 7690 + ], + [ + 10280, + 10939 + ], + [ + 9270, + 11076 + ], + [ + 128, + 4903 + ], + [ + 1680, + 4591 + ], + [ + 1339, + 4298 + ], + [ + 8279, + 10112 + ], + [ + 8611, + 9161 + ], + [ + 7272, + 7514 + ], + [ + 2421, + 11392 + ], + [ + 6927, + 10485 + ], + [ + 7271, + 10295 + ], + [ + 11171, + 11268 + ], + [ + 1046, + 4426 + ], + [ + 490, + 6423 + ], + [ + 710, + 10893 + ], + [ + 9695, + 9912 + ], + [ + 1849, + 8722 + ], + [ + 698, + 2962 + ], + [ + 517, + 4082 + ], + [ + 3287, + 7342 + ], + [ + 68, + 6730 + ], + [ + 2722, + 11505 + ], + [ + 6213, + 8109 + ], + [ + 8952, + 9804 + ], + [ + 2221, + 7547 + ], + [ + 3436, + 7815 + ], + [ + 1127, + 5704 + ], + [ + 1939, + 5582 + ], + [ + 1412, + 8317 + ], + [ + 223, + 10401 + ], + [ + 2112, + 9482 + ], + [ + 3330, + 10048 + ], + [ + 1836, + 7332 + ], + [ + 2479, + 7963 + ], + [ + 374, + 1121 + ], + [ + 8594, + 10631 + ], + [ + 5261, + 8951 + ], + [ + 5416, + 6610 + ], + [ + 3606, + 5378 + ], + [ + 6092, + 8879 + ], + [ + 1114, + 4314 + ], + [ + 7299, + 11538 + ], + [ + 396, + 8235 + ], + [ + 4038, + 5008 + ], + [ + 3995, + 8344 + ], + [ + 9975, + 11376 + ], + [ + 4964, + 11589 + ], + [ + 723, + 3153 + ], + [ + 2384, + 7672 + ], + [ + 8349, + 10426 + ], + [ + 7939, + 8084 + ], + [ + 6411, + 10702 + ], + [ + 1903, + 4366 + ], + [ + 4826, + 8622 + ], + [ + 2000, + 7682 + ], + [ + 930, + 7768 + ], + [ + 2795, + 5701 + ], + [ + 683, + 10520 + ], + [ + 188, + 9760 + ], + [ + 2831, + 4577 + ], + [ + 3268, + 5332 + ], + [ + 3760, + 5040 + ], + [ + 1201, + 9170 + ], + [ + 2539, + 10592 + ], + [ + 797, + 1358 + ], + [ + 852, + 1819 + ], + [ + 789, + 7132 + ], + [ + 2155, + 10602 + ], + [ + 1878, + 5598 + ], + [ + 6733, + 9009 + ], + [ + 1134, + 8298 + ], + [ + 845, + 8195 + ], + [ + 5113, + 7874 + ], + [ + 1899, + 9858 + ], + [ + 7475, + 8865 + ], + [ + 3211, + 10059 + ], + [ + 1814, + 5024 + ], + [ + 5893, + 10466 + ], + [ + 4551, + 5138 + ], + [ + 3266, + 3350 + ], + [ + 2211, + 7878 + ], + [ + 4353, + 5153 + ], + [ + 2522, + 6050 + ], + [ + 3182, + 7786 + ], + [ + 806, + 4453 + ], + [ + 2055, + 7338 + ], + [ + 1581, + 4449 + ], + [ + 2329, + 9038 + ], + [ + 8368, + 10021 + ], + [ + 5369, + 7463 + ], + [ + 7151, + 10057 + ], + [ + 7794, + 10688 + ], + [ + 2783, + 10147 + ], + [ + 3720, + 11225 + ], + [ + 544, + 7277 + ], + [ + 7450, + 9343 + ], + [ + 2632, + 6945 + ], + [ + 5644, + 9738 + ], + [ + 133, + 4710 + ], + [ + 842, + 2955 + ], + [ + 728, + 6051 + ], + [ + 1189, + 7200 + ], + [ + 717, + 8144 + ], + [ + 8435, + 10088 + ], + [ + 2368, + 7811 + ], + [ + 3059, + 8860 + ], + [ + 3321, + 6416 + ], + [ + 2890, + 9613 + ], + [ + 8405, + 9098 + ], + [ + 3262, + 8438 + ], + [ + 1017, + 1616 + ], + [ + 3291, + 6924 + ], + [ + 7401, + 10181 + ], + [ + 6685, + 10011 + ], + [ + 6778, + 6792 + ], + [ + 4562, + 4872 + ], + [ + 931, + 5979 + ], + [ + 1943, + 8197 + ], + [ + 1664, + 9536 + ], + [ + 5559, + 10165 + ], + [ + 9208, + 10361 + ], + [ + 7075, + 10196 + ], + [ + 8575, + 9694 + ], + [ + 10257, + 10926 + ], + [ + 1130, + 2432 + ], + [ + 1389, + 10240 + ], + [ + 955, + 7504 + ], + [ + 7507, + 9072 + ], + [ + 4654, + 11227 + ], + [ + 3054, + 7361 + ], + [ + 2524, + 11333 + ], + [ + 1792, + 11384 + ], + [ + 6006, + 10103 + ], + [ + 6045, + 9277 + ], + [ + 2093, + 5862 + ], + [ + 9565, + 10783 + ], + [ + 5640, + 11443 + ], + [ + 2085, + 10882 + ], + [ + 6603, + 11490 + ], + [ + 4139, + 7556 + ], + [ + 6205, + 10663 + ], + [ + 1429, + 2849 + ], + [ + 969, + 7560 + ], + [ + 816, + 4312 + ], + [ + 1554, + 4049 + ], + [ + 8439, + 10156 + ], + [ + 2603, + 9532 + ], + [ + 8986, + 10325 + ], + [ + 5567, + 8871 + ], + [ + 741, + 2448 + ], + [ + 1957, + 8603 + ], + [ + 7645, + 8605 + ], + [ + 173, + 6313 + ], + [ + 197, + 10871 + ], + [ + 329, + 6826 + ], + [ + 3746, + 7453 + ], + [ + 2199, + 5103 + ], + [ + 3257, + 4256 + ], + [ + 3100, + 4272 + ], + [ + 4805, + 7208 + ], + [ + 6047, + 8168 + ], + [ + 441, + 10450 + ], + [ + 6234, + 7994 + ], + [ + 5888, + 7357 + ], + [ + 1533, + 8433 + ], + [ + 5700, + 8060 + ], + [ + 385, + 11272 + ], + [ + 4976, + 11412 + ], + [ + 1643, + 3316 + ], + [ + 2028, + 3127 + ], + [ + 8712, + 11230 + ], + [ + 9770, + 10383 + ], + [ + 3261, + 7007 + ], + [ + 253, + 11503 + ], + [ + 5969, + 6383 + ], + [ + 1239, + 1920 + ], + [ + 8407, + 9813 + ], + [ + 4572, + 6983 + ], + [ + 341, + 4153 + ], + [ + 702, + 7350 + ], + [ + 332, + 6319 + ], + [ + 5782, + 6907 + ], + [ + 2193, + 3352 + ], + [ + 8046, + 11527 + ], + [ + 2041, + 3712 + ], + [ + 822, + 2921 + ], + [ + 7575, + 8909 + ], + [ + 5426, + 8965 + ], + [ + 8452, + 9182 + ], + [ + 5368, + 8206 + ], + [ + 1058, + 9055 + ], + [ + 6691, + 8596 + ], + [ + 7976, + 9603 + ], + [ + 4208, + 8749 + ], + [ + 6281, + 9637 + ], + [ + 3201, + 5397 + ], + [ + 4238, + 10089 + ], + [ + 3579, + 11207 + ], + [ + 5855, + 10926 + ], + [ + 370, + 4867 + ], + [ + 7283, + 8858 + ], + [ + 2825, + 6803 + ], + [ + 2026, + 4878 + ], + [ + 646, + 10400 + ], + [ + 5094, + 8734 + ], + [ + 4646, + 7820 + ], + [ + 5031, + 7631 + ], + [ + 4716, + 6307 + ], + [ + 3222, + 10007 + ], + [ + 1694, + 2045 + ], + [ + 2745, + 10607 + ], + [ + 4307, + 10983 + ], + [ + 3185, + 10879 + ], + [ + 666, + 11402 + ], + [ + 4991, + 7451 + ], + [ + 5359, + 10321 + ], + [ + 4201, + 9806 + ], + [ + 1403, + 10914 + ], + [ + 4672, + 8637 + ], + [ + 2807, + 8452 + ], + [ + 436, + 5463 + ], + [ + 587, + 5632 + ], + [ + 2806, + 11233 + ], + [ + 7526, + 7838 + ], + [ + 6849, + 8350 + ], + [ + 966, + 5628 + ], + [ + 7868, + 10958 + ], + [ + 2235, + 9165 + ], + [ + 3038, + 7045 + ], + [ + 610, + 9938 + ], + [ + 7924, + 11267 + ], + [ + 4342, + 8883 + ], + [ + 2162, + 3210 + ], + [ + 2051, + 5823 + ], + [ + 1822, + 9935 + ], + [ + 2808, + 7522 + ], + [ + 918, + 11222 + ], + [ + 10629, + 11099 + ], + [ + 4371, + 10752 + ], + [ + 5059, + 8874 + ], + [ + 4123, + 4988 + ], + [ + 6077, + 8628 + ], + [ + 3316, + 8837 + ], + [ + 4149, + 9592 + ], + [ + 3213, + 4952 + ], + [ + 1372, + 5161 + ], + [ + 2217, + 3267 + ], + [ + 2092, + 7702 + ], + [ + 1023, + 4226 + ], + [ + 2684, + 8745 + ], + [ + 1208, + 7389 + ], + [ + 5098, + 9926 + ], + [ + 3052, + 7451 + ], + [ + 9027, + 10139 + ], + [ + 180, + 6166 + ], + [ + 488, + 4067 + ], + [ + 4379, + 7960 + ], + [ + 3601, + 11076 + ], + [ + 9583, + 11525 + ], + [ + 4215, + 6805 + ], + [ + 522, + 6280 + ], + [ + 9383, + 9959 + ], + [ + 1477, + 8718 + ], + [ + 6313, + 7161 + ], + [ + 5809, + 5938 + ], + [ + 3262, + 10829 + ], + [ + 7701, + 7946 + ], + [ + 2004, + 10864 + ], + [ + 695, + 1512 + ], + [ + 6271, + 7689 + ], + [ + 2009, + 4792 + ], + [ + 1787, + 5911 + ], + [ + 1541, + 3226 + ], + [ + 1631, + 9535 + ], + [ + 5294, + 6431 + ], + [ + 5581, + 9871 + ], + [ + 2375, + 10218 + ], + [ + 808, + 2328 + ], + [ + 2210, + 5455 + ], + [ + 3330, + 5486 + ], + [ + 7601, + 11098 + ], + [ + 4702, + 5738 + ], + [ + 5724, + 9398 + ], + [ + 9491, + 10781 + ], + [ + 8183, + 11453 + ], + [ + 6686, + 11472 + ], + [ + 4786, + 8068 + ], + [ + 736, + 7528 + ], + [ + 10326, + 11582 + ], + [ + 462, + 8457 + ], + [ + 2829, + 7540 + ], + [ + 2643, + 11322 + ], + [ + 78, + 5084 + ], + [ + 3510, + 10907 + ], + [ + 2574, + 7021 + ], + [ + 5846, + 10677 + ], + [ + 1044, + 11064 + ], + [ + 6087, + 7356 + ], + [ + 5937, + 10795 + ], + [ + 6123, + 7013 + ], + [ + 509, + 1106 + ], + [ + 8609, + 10514 + ], + [ + 1005, + 8103 + ], + [ + 10189, + 11469 + ], + [ + 8072, + 9528 + ], + [ + 412, + 10972 + ], + [ + 6726, + 7464 + ], + [ + 7097, + 9097 + ], + [ + 3654, + 3839 + ], + [ + 1309, + 6235 + ], + [ + 715, + 5496 + ], + [ + 3822, + 11559 + ], + [ + 1432, + 4356 + ], + [ + 959, + 1692 + ], + [ + 285, + 9295 + ], + [ + 3676, + 8701 + ], + [ + 3115, + 6190 + ], + [ + 2394, + 4178 + ], + [ + 5778, + 8075 + ], + [ + 2335, + 2817 + ], + [ + 6934, + 8517 + ], + [ + 1237, + 10681 + ], + [ + 3738, + 8798 + ], + [ + 3349, + 11497 + ], + [ + 7339, + 9734 + ], + [ + 4906, + 11529 + ], + [ + 6207, + 8188 + ], + [ + 2136, + 9023 + ], + [ + 8545, + 8785 + ], + [ + 1332, + 6754 + ], + [ + 10289, + 10895 + ], + [ + 1827, + 10897 + ], + [ + 4315, + 8809 + ], + [ + 1505, + 8402 + ], + [ + 2255, + 9654 + ], + [ + 3624, + 10389 + ], + [ + 911, + 4253 + ], + [ + 3937, + 8634 + ], + [ + 1017, + 8813 + ], + [ + 4558, + 4780 + ], + [ + 330, + 7883 + ], + [ + 1440, + 7226 + ], + [ + 8728, + 10340 + ], + [ + 4671, + 8629 + ], + [ + 2661, + 11473 + ], + [ + 3714, + 10282 + ], + [ + 4115, + 10626 + ], + [ + 3521, + 6477 + ], + [ + 1124, + 2267 + ], + [ + 1600, + 7858 + ], + [ + 7665, + 7810 + ], + [ + 3086, + 9932 + ], + [ + 8719, + 9473 + ], + [ + 2096, + 9193 + ], + [ + 7497, + 9165 + ], + [ + 4360, + 7397 + ], + [ + 5846, + 8717 + ], + [ + 7403, + 9503 + ], + [ + 1116, + 2002 + ], + [ + 206, + 9136 + ], + [ + 2360, + 3008 + ], + [ + 3354, + 11036 + ], + [ + 3139, + 6910 + ], + [ + 4557, + 10570 + ], + [ + 2946, + 7269 + ], + [ + 327, + 10594 + ], + [ + 3716, + 9173 + ], + [ + 1034, + 2350 + ], + [ + 1983, + 4189 + ], + [ + 4089, + 5217 + ], + [ + 9665, + 11394 + ], + [ + 7767, + 10315 + ], + [ + 3870, + 6607 + ], + [ + 537, + 11343 + ], + [ + 5996, + 9011 + ], + [ + 3400, + 7624 + ], + [ + 1483, + 9501 + ], + [ + 8478, + 8606 + ], + [ + 3996, + 8409 + ], + [ + 9524, + 10408 + ], + [ + 229, + 3993 + ], + [ + 872, + 3870 + ], + [ + 1739, + 9871 + ], + [ + 1551, + 4158 + ], + [ + 5069, + 11253 + ], + [ + 2951, + 6458 + ], + [ + 2018, + 6253 + ], + [ + 9368, + 10245 + ], + [ + 5476, + 6881 + ], + [ + 6436, + 8909 + ], + [ + 4471, + 7362 + ], + [ + 2912, + 3497 + ], + [ + 394, + 7628 + ], + [ + 3358, + 7721 + ], + [ + 5474, + 9437 + ], + [ + 3507, + 4811 + ], + [ + 1671, + 4610 + ], + [ + 6483, + 11357 + ], + [ + 2572, + 3779 + ], + [ + 3162, + 11192 + ], + [ + 356, + 1859 + ], + [ + 3747, + 7681 + ], + [ + 3373, + 4996 + ], + [ + 1943, + 10401 + ], + [ + 45, + 3660 + ], + [ + 9349, + 11292 + ], + [ + 416, + 6047 + ], + [ + 194, + 7166 + ], + [ + 4426, + 7188 + ], + [ + 3989, + 4181 + ], + [ + 5415, + 7702 + ], + [ + 2961, + 9374 + ], + [ + 1893, + 3117 + ], + [ + 1994, + 10339 + ], + [ + 2092, + 6710 + ], + [ + 552, + 7813 + ], + [ + 7214, + 8021 + ], + [ + 2582, + 10509 + ], + [ + 2666, + 9456 + ], + [ + 2803, + 9165 + ], + [ + 6502, + 8724 + ], + [ + 2768, + 6700 + ], + [ + 5879, + 6466 + ], + [ + 3907, + 7912 + ], + [ + 5128, + 7995 + ], + [ + 8051, + 11497 + ], + [ + 1565, + 3409 + ], + [ + 9104, + 10306 + ], + [ + 3228, + 4591 + ], + [ + 1731, + 8774 + ], + [ + 17, + 10256 + ], + [ + 857, + 5766 + ], + [ + 5578, + 8231 + ], + [ + 2126, + 11555 + ], + [ + 3373, + 10607 + ], + [ + 6585, + 7796 + ], + [ + 3020, + 6547 + ], + [ + 2807, + 8883 + ], + [ + 3614, + 4253 + ], + [ + 7190, + 9074 + ], + [ + 3442, + 8118 + ], + [ + 423, + 8291 + ], + [ + 2391, + 9355 + ], + [ + 1111, + 1495 + ], + [ + 367, + 10611 + ], + [ + 5806, + 6903 + ], + [ + 2874, + 5567 + ], + [ + 4066, + 7918 + ], + [ + 8773, + 10677 + ], + [ + 239, + 9113 + ], + [ + 2267, + 10982 + ], + [ + 297, + 8337 + ], + [ + 4849, + 7775 + ], + [ + 4772, + 5865 + ], + [ + 2499, + 9827 + ], + [ + 357, + 474 + ], + [ + 6239, + 9387 + ], + [ + 8978, + 11082 + ], + [ + 4188, + 5814 + ], + [ + 3152, + 11146 + ], + [ + 5168, + 9248 + ], + [ + 7602, + 10307 + ], + [ + 8218, + 8361 + ], + [ + 6356, + 6939 + ], + [ + 6454, + 8228 + ], + [ + 6946, + 8690 + ], + [ + 8472, + 9409 + ], + [ + 3948, + 8986 + ], + [ + 536, + 2287 + ], + [ + 3421, + 9469 + ], + [ + 317, + 3677 + ], + [ + 6165, + 11508 + ], + [ + 5601, + 9480 + ], + [ + 336, + 1475 + ], + [ + 279, + 941 + ], + [ + 3737, + 7985 + ], + [ + 2713, + 7662 + ], + [ + 1808, + 5341 + ], + [ + 7054, + 8408 + ], + [ + 343, + 8281 + ], + [ + 801, + 2743 + ], + [ + 9610, + 10396 + ], + [ + 2798, + 3047 + ], + [ + 1706, + 2031 + ], + [ + 5400, + 7662 + ], + [ + 45, + 895 + ], + [ + 5485, + 7211 + ], + [ + 4867, + 8330 + ], + [ + 5493, + 11236 + ], + [ + 3445, + 7180 + ], + [ + 2189, + 8042 + ], + [ + 1098, + 9503 + ], + [ + 1227, + 5187 + ], + [ + 8441, + 10072 + ], + [ + 2191, + 8088 + ], + [ + 2466, + 3597 + ], + [ + 6134, + 8007 + ], + [ + 5953, + 9127 + ], + [ + 900, + 5731 + ], + [ + 4045, + 8114 + ], + [ + 6032, + 7730 + ], + [ + 3461, + 8063 + ], + [ + 7372, + 9225 + ], + [ + 7062, + 11251 + ], + [ + 3454, + 6892 + ], + [ + 3696, + 6425 + ], + [ + 4356, + 8915 + ], + [ + 607, + 5105 + ], + [ + 3067, + 7385 + ], + [ + 1296, + 6081 + ], + [ + 5561, + 8495 + ], + [ + 865, + 2862 + ], + [ + 1794, + 3325 + ], + [ + 4152, + 5328 + ], + [ + 4085, + 4106 + ], + [ + 2627, + 9715 + ], + [ + 294, + 7210 + ], + [ + 3341, + 9058 + ], + [ + 4642, + 4963 + ], + [ + 445, + 7379 + ], + [ + 6641, + 9477 + ], + [ + 3857, + 3875 + ], + [ + 2427, + 10034 + ], + [ + 873, + 9519 + ], + [ + 1222, + 7421 + ], + [ + 374, + 5634 + ], + [ + 1896, + 8863 + ], + [ + 7037, + 8696 + ], + [ + 7460, + 11273 + ], + [ + 870, + 6215 + ], + [ + 147, + 9792 + ], + [ + 682, + 6918 + ], + [ + 520, + 8842 + ], + [ + 5497, + 6766 + ], + [ + 1522, + 8063 + ], + [ + 7267, + 7845 + ], + [ + 5868, + 8399 + ], + [ + 8954, + 9421 + ], + [ + 1232, + 3571 + ], + [ + 76, + 1631 + ], + [ + 4998, + 8516 + ], + [ + 1421, + 4224 + ], + [ + 1675, + 7524 + ], + [ + 6295, + 7685 + ], + [ + 4094, + 6797 + ], + [ + 7167, + 7614 + ], + [ + 3030, + 10081 + ], + [ + 852, + 1071 + ], + [ + 951, + 4460 + ], + [ + 1531, + 7021 + ], + [ + 5610, + 10965 + ], + [ + 4827, + 9573 + ], + [ + 6110, + 11288 + ], + [ + 8037, + 10099 + ], + [ + 1566, + 3043 + ], + [ + 6007, + 7403 + ], + [ + 6041, + 6233 + ], + [ + 1412, + 8992 + ], + [ + 8583, + 10797 + ], + [ + 647, + 5927 + ], + [ + 4014, + 4939 + ], + [ + 7692, + 10037 + ], + [ + 11110, + 11266 + ], + [ + 3975, + 4230 + ], + [ + 5072, + 6721 + ], + [ + 6443, + 10535 + ], + [ + 1555, + 8896 + ], + [ + 5817, + 7629 + ], + [ + 8745, + 11475 + ], + [ + 2169, + 11041 + ], + [ + 3232, + 10538 + ], + [ + 520, + 5004 + ], + [ + 2827, + 6288 + ], + [ + 2476, + 4553 + ], + [ + 6825, + 9324 + ], + [ + 142, + 4829 + ], + [ + 10881, + 11564 + ], + [ + 6022, + 10663 + ], + [ + 6335, + 9662 + ], + [ + 1535, + 3706 + ], + [ + 1065, + 7729 + ], + [ + 3463, + 6125 + ], + [ + 3365, + 5590 + ], + [ + 3334, + 4025 + ], + [ + 316, + 2915 + ], + [ + 1752, + 5626 + ], + [ + 5580, + 11449 + ], + [ + 6860, + 8729 + ], + [ + 315, + 3444 + ], + [ + 6734, + 10310 + ], + [ + 4885, + 9123 + ], + [ + 4541, + 9313 + ], + [ + 6636, + 6742 + ], + [ + 34, + 6585 + ], + [ + 6314, + 10663 + ], + [ + 1837, + 10810 + ], + [ + 10051, + 10706 + ], + [ + 5634, + 10904 + ], + [ + 9524, + 11189 + ], + [ + 3357, + 4544 + ], + [ + 7581, + 11121 + ], + [ + 6741, + 6943 + ], + [ + 1820, + 5164 + ], + [ + 3623, + 9389 + ], + [ + 10453, + 10871 + ], + [ + 2069, + 5868 + ], + [ + 448, + 8295 + ], + [ + 83, + 3444 + ], + [ + 2075, + 9820 + ], + [ + 6896, + 7231 + ], + [ + 3506, + 5017 + ], + [ + 8072, + 10577 + ], + [ + 2032, + 10123 + ], + [ + 4806, + 7086 + ], + [ + 1781, + 3307 + ], + [ + 4609, + 9955 + ], + [ + 3231, + 4970 + ], + [ + 5538, + 6254 + ], + [ + 5975, + 7009 + ], + [ + 2580, + 10113 + ], + [ + 4505, + 8851 + ], + [ + 1929, + 8840 + ], + [ + 3985, + 10505 + ], + [ + 1425, + 5365 + ], + [ + 7118, + 11373 + ], + [ + 2273, + 7152 + ], + [ + 1263, + 6535 + ], + [ + 3353, + 10036 + ], + [ + 2644, + 4621 + ], + [ + 9547, + 11307 + ], + [ + 5680, + 8939 + ], + [ + 608, + 5493 + ], + [ + 611, + 9174 + ], + [ + 1669, + 8327 + ], + [ + 4086, + 6773 + ], + [ + 1216, + 6315 + ], + [ + 3806, + 7887 + ], + [ + 43, + 6623 + ], + [ + 8845, + 8941 + ], + [ + 3717, + 7815 + ], + [ + 1649, + 2383 + ], + [ + 10812, + 11288 + ], + [ + 4356, + 4540 + ], + [ + 4581, + 7102 + ], + [ + 273, + 1608 + ], + [ + 6532, + 11225 + ], + [ + 3445, + 8066 + ], + [ + 6375, + 7077 + ], + [ + 5376, + 8504 + ], + [ + 8235, + 10301 + ], + [ + 986, + 6361 + ], + [ + 3966, + 3981 + ], + [ + 2849, + 8385 + ], + [ + 6390, + 10768 + ], + [ + 820, + 2127 + ], + [ + 2223, + 8862 + ], + [ + 4991, + 10541 + ], + [ + 5058, + 9511 + ], + [ + 569, + 8143 + ], + [ + 5832, + 8905 + ], + [ + 4899, + 10952 + ], + [ + 3842, + 8991 + ], + [ + 8198, + 10769 + ], + [ + 8628, + 10353 + ], + [ + 4519, + 8452 + ], + [ + 1333, + 3816 + ], + [ + 8877, + 11057 + ], + [ + 4887, + 10568 + ], + [ + 752, + 9698 + ], + [ + 2371, + 4946 + ], + [ + 1810, + 6599 + ], + [ + 564, + 10401 + ], + [ + 6598, + 11040 + ], + [ + 1734, + 7543 + ], + [ + 2212, + 4135 + ], + [ + 5971, + 7909 + ], + [ + 7280, + 8593 + ], + [ + 1447, + 7486 + ], + [ + 1426, + 6609 + ], + [ + 5942, + 6390 + ], + [ + 3667, + 9525 + ], + [ + 4777, + 8868 + ], + [ + 6556, + 7781 + ], + [ + 3686, + 7323 + ], + [ + 554, + 10063 + ], + [ + 2753, + 7118 + ], + [ + 5647, + 5718 + ], + [ + 10749, + 11258 + ], + [ + 4627, + 8520 + ], + [ + 6733, + 10302 + ], + [ + 769, + 11156 + ], + [ + 811, + 3488 + ], + [ + 4458, + 7021 + ], + [ + 6911, + 8130 + ], + [ + 4705, + 6898 + ], + [ + 1560, + 5269 + ], + [ + 3045, + 3735 + ], + [ + 3638, + 10665 + ], + [ + 10060, + 10632 + ], + [ + 1714, + 2703 + ], + [ + 8274, + 8296 + ], + [ + 9805, + 10113 + ], + [ + 3611, + 5809 + ], + [ + 5006, + 7765 + ], + [ + 2955, + 4192 + ], + [ + 4128, + 7267 + ], + [ + 1741, + 10161 + ], + [ + 6665, + 11457 + ], + [ + 306, + 8806 + ], + [ + 2384, + 3622 + ], + [ + 4440, + 6041 + ], + [ + 4228, + 7848 + ], + [ + 3041, + 6595 + ], + [ + 295, + 4483 + ], + [ + 6941, + 9820 + ], + [ + 2734, + 5132 + ], + [ + 428, + 1040 + ], + [ + 9049, + 10894 + ], + [ + 5126, + 5965 + ], + [ + 3653, + 10542 + ], + [ + 2075, + 9633 + ], + [ + 3412, + 8201 + ], + [ + 53, + 4546 + ], + [ + 2417, + 6364 + ], + [ + 9472, + 10438 + ], + [ + 10566, + 11500 + ], + [ + 2495, + 11158 + ], + [ + 874, + 7169 + ], + [ + 4635, + 10989 + ], + [ + 5879, + 6360 + ], + [ + 7348, + 10709 + ], + [ + 2279, + 6780 + ], + [ + 1959, + 7364 + ], + [ + 343, + 3719 + ], + [ + 6341, + 8111 + ], + [ + 8082, + 10704 + ], + [ + 1519, + 10475 + ], + [ + 5290, + 9348 + ], + [ + 238, + 8806 + ], + [ + 3316, + 9967 + ], + [ + 1475, + 7924 + ], + [ + 8735, + 8990 + ], + [ + 6832, + 7567 + ], + [ + 1267, + 10604 + ], + [ + 1596, + 2966 + ], + [ + 2075, + 8828 + ], + [ + 8947, + 9812 + ], + [ + 7271, + 8368 + ], + [ + 1072, + 10136 + ], + [ + 982, + 7210 + ], + [ + 2847, + 5143 + ], + [ + 5051, + 9712 + ], + [ + 3428, + 10558 + ], + [ + 6363, + 9159 + ], + [ + 102, + 3633 + ], + [ + 3806, + 7700 + ], + [ + 2622, + 5964 + ], + [ + 62, + 70 + ], + [ + 510, + 10783 + ], + [ + 2869, + 5841 + ], + [ + 5472, + 7675 + ], + [ + 4954, + 6746 + ], + [ + 752, + 10316 + ], + [ + 52, + 2765 + ], + [ + 2457, + 4584 + ], + [ + 2636, + 6801 + ], + [ + 8280, + 10638 + ], + [ + 2301, + 9706 + ], + [ + 6525, + 9867 + ], + [ + 673, + 8710 + ], + [ + 2447, + 3115 + ], + [ + 1417, + 9393 + ], + [ + 1052, + 4542 + ], + [ + 8520, + 10475 + ], + [ + 4473, + 5288 + ], + [ + 6090, + 10289 + ], + [ + 4366, + 4667 + ], + [ + 4144, + 6540 + ], + [ + 2342, + 5923 + ], + [ + 2032, + 11359 + ], + [ + 4525, + 8861 + ], + [ + 566, + 10691 + ], + [ + 5802, + 7378 + ], + [ + 950, + 1232 + ], + [ + 3556, + 8999 + ], + [ + 3396, + 5334 + ], + [ + 779, + 5322 + ], + [ + 197, + 6098 + ], + [ + 4328, + 5314 + ], + [ + 3997, + 6463 + ], + [ + 7229, + 10720 + ], + [ + 8004, + 10716 + ], + [ + 3358, + 5200 + ], + [ + 8839, + 11517 + ], + [ + 1238, + 3742 + ], + [ + 2046, + 8382 + ], + [ + 1079, + 9347 + ], + [ + 4157, + 9754 + ], + [ + 2070, + 6524 + ], + [ + 210, + 267 + ], + [ + 5345, + 8199 + ], + [ + 3354, + 11093 + ], + [ + 4412, + 7994 + ], + [ + 2194, + 5247 + ], + [ + 2849, + 7393 + ], + [ + 4651, + 7229 + ], + [ + 7574, + 10731 + ], + [ + 793, + 2695 + ], + [ + 6739, + 6897 + ], + [ + 1438, + 9815 + ], + [ + 2221, + 7043 + ], + [ + 1226, + 5960 + ], + [ + 3903, + 6023 + ], + [ + 3118, + 7968 + ], + [ + 410, + 6340 + ], + [ + 6191, + 8785 + ], + [ + 3990, + 8651 + ], + [ + 3264, + 7793 + ], + [ + 5607, + 8734 + ], + [ + 4449, + 5967 + ], + [ + 8554, + 10378 + ], + [ + 3490, + 6793 + ], + [ + 2549, + 8979 + ], + [ + 5570, + 9606 + ], + [ + 3397, + 4350 + ], + [ + 7244, + 10223 + ], + [ + 3137, + 9149 + ], + [ + 9090, + 11112 + ], + [ + 3949, + 4863 + ], + [ + 4384, + 11207 + ], + [ + 1031, + 1705 + ], + [ + 10027, + 11436 + ], + [ + 6622, + 8190 + ], + [ + 10295, + 10692 + ], + [ + 1177, + 4913 + ], + [ + 2820, + 11135 + ], + [ + 260, + 5241 + ], + [ + 2422, + 3892 + ], + [ + 3662, + 8189 + ], + [ + 1816, + 8054 + ], + [ + 3373, + 8086 + ], + [ + 7979, + 10793 + ], + [ + 3758, + 8651 + ], + [ + 4684, + 5433 + ], + [ + 1203, + 3101 + ], + [ + 2010, + 9051 + ], + [ + 3928, + 5864 + ], + [ + 3371, + 8390 + ], + [ + 9131, + 9958 + ], + [ + 7730, + 10439 + ], + [ + 2208, + 10914 + ], + [ + 255, + 10882 + ], + [ + 2901, + 9380 + ], + [ + 2390, + 10396 + ], + [ + 5237, + 9150 + ], + [ + 5533, + 5536 + ], + [ + 524, + 5822 + ], + [ + 6625, + 7683 + ], + [ + 926, + 3358 + ], + [ + 184, + 9137 + ], + [ + 2708, + 5952 + ], + [ + 1276, + 11284 + ], + [ + 3533, + 8317 + ], + [ + 552, + 8220 + ], + [ + 5435, + 9515 + ], + [ + 581, + 2542 + ], + [ + 6401, + 8325 + ], + [ + 1379, + 4242 + ], + [ + 5310, + 7534 + ], + [ + 764, + 5632 + ], + [ + 7383, + 8422 + ], + [ + 1000, + 1213 + ], + [ + 4900, + 9356 + ], + [ + 6180, + 6636 + ], + [ + 3181, + 10494 + ], + [ + 3551, + 9273 + ], + [ + 7535, + 9193 + ], + [ + 7077, + 8315 + ], + [ + 31, + 4734 + ], + [ + 6039, + 6404 + ], + [ + 2113, + 6839 + ], + [ + 6282, + 6539 + ], + [ + 4203, + 7334 + ], + [ + 7004, + 9907 + ], + [ + 1431, + 10417 + ], + [ + 836, + 6824 + ], + [ + 3451, + 6009 + ], + [ + 276, + 7167 + ], + [ + 3103, + 4545 + ], + [ + 9455, + 10189 + ], + [ + 5128, + 6897 + ], + [ + 649, + 3965 + ], + [ + 2144, + 3119 + ], + [ + 6345, + 7992 + ], + [ + 1579, + 3872 + ], + [ + 1391, + 10237 + ], + [ + 5909, + 10845 + ], + [ + 5685, + 8885 + ], + [ + 2440, + 9304 + ], + [ + 1767, + 6552 + ], + [ + 1822, + 10423 + ], + [ + 5908, + 10620 + ], + [ + 3873, + 7580 + ], + [ + 8107, + 8429 + ], + [ + 25, + 10904 + ], + [ + 2291, + 9181 + ], + [ + 2726, + 9109 + ], + [ + 422, + 926 + ], + [ + 9790, + 10263 + ], + [ + 79, + 3970 + ], + [ + 2276, + 7368 + ], + [ + 9662, + 11017 + ], + [ + 6104, + 6775 + ], + [ + 5703, + 6431 + ], + [ + 3127, + 6420 + ], + [ + 5768, + 10990 + ], + [ + 7504, + 9075 + ], + [ + 1993, + 8211 + ], + [ + 1026, + 5012 + ], + [ + 3524, + 3612 + ], + [ + 320, + 10448 + ], + [ + 3326, + 9289 + ], + [ + 1831, + 3719 + ], + [ + 5261, + 8715 + ], + [ + 1123, + 8328 + ], + [ + 259, + 6008 + ], + [ + 3898, + 9680 + ], + [ + 1651, + 8447 + ], + [ + 3948, + 9043 + ], + [ + 1031, + 8739 + ], + [ + 3043, + 10105 + ], + [ + 8053, + 10421 + ], + [ + 3879, + 7344 + ], + [ + 200, + 10689 + ], + [ + 4159, + 9613 + ], + [ + 2354, + 9479 + ], + [ + 365, + 6784 + ], + [ + 263, + 8759 + ], + [ + 4989, + 9316 + ], + [ + 1286, + 8857 + ], + [ + 5484, + 7043 + ], + [ + 8233, + 9426 + ], + [ + 3651, + 11277 + ], + [ + 10246, + 10263 + ], + [ + 2751, + 2884 + ], + [ + 6908, + 8239 + ], + [ + 2835, + 8247 + ], + [ + 1002, + 6065 + ], + [ + 1003, + 6667 + ], + [ + 3851, + 4922 + ], + [ + 5597, + 7859 + ], + [ + 4358, + 6416 + ], + [ + 5071, + 5534 + ], + [ + 3918, + 9527 + ], + [ + 5131, + 5585 + ], + [ + 8959, + 11408 + ], + [ + 3142, + 3644 + ], + [ + 4726, + 7751 + ], + [ + 6276, + 7366 + ], + [ + 5526, + 6114 + ], + [ + 9199, + 10868 + ], + [ + 2598, + 7903 + ], + [ + 6930, + 9287 + ], + [ + 2073, + 2797 + ], + [ + 10815, + 11480 + ], + [ + 1567, + 11327 + ], + [ + 545, + 1251 + ], + [ + 1767, + 11358 + ], + [ + 348, + 4120 + ], + [ + 5523, + 9199 + ], + [ + 392, + 10054 + ], + [ + 3759, + 11318 + ], + [ + 294, + 7267 + ], + [ + 3116, + 4301 + ], + [ + 8630, + 8846 + ], + [ + 3155, + 9891 + ], + [ + 321, + 11342 + ], + [ + 4457, + 9404 + ], + [ + 10126, + 10854 + ], + [ + 10659, + 11317 + ], + [ + 6140, + 11238 + ], + [ + 2840, + 7786 + ], + [ + 2212, + 8217 + ], + [ + 7008, + 10267 + ], + [ + 243, + 512 + ], + [ + 4418, + 5662 + ], + [ + 378, + 6564 + ], + [ + 4569, + 5831 + ], + [ + 3762, + 4045 + ], + [ + 4379, + 9871 + ], + [ + 2739, + 7330 + ], + [ + 270, + 1554 + ], + [ + 609, + 1020 + ], + [ + 2145, + 7345 + ], + [ + 144, + 9551 + ], + [ + 8829, + 9032 + ], + [ + 513, + 4695 + ], + [ + 2632, + 3676 + ], + [ + 9672, + 9694 + ], + [ + 3647, + 6165 + ], + [ + 2747, + 4188 + ], + [ + 5470, + 11012 + ], + [ + 7356, + 10576 + ], + [ + 4083, + 8947 + ], + [ + 2071, + 10964 + ], + [ + 6734, + 7789 + ], + [ + 6257, + 8389 + ], + [ + 416, + 11528 + ], + [ + 8654, + 9566 + ], + [ + 1956, + 3285 + ], + [ + 4669, + 5257 + ], + [ + 904, + 8084 + ], + [ + 3328, + 9953 + ], + [ + 7161, + 9704 + ], + [ + 10337, + 11400 + ], + [ + 432, + 1858 + ], + [ + 774, + 5759 + ], + [ + 2947, + 3845 + ], + [ + 3640, + 8727 + ], + [ + 6190, + 6763 + ], + [ + 9025, + 10418 + ], + [ + 5997, + 9374 + ], + [ + 242, + 8150 + ], + [ + 2707, + 8522 + ], + [ + 584, + 5635 + ], + [ + 5136, + 10735 + ], + [ + 1914, + 6442 + ], + [ + 2268, + 7694 + ], + [ + 1575, + 2812 + ], + [ + 7486, + 8713 + ], + [ + 6935, + 11054 + ], + [ + 1923, + 7659 + ], + [ + 5968, + 7855 + ], + [ + 7683, + 9227 + ], + [ + 362, + 3721 + ], + [ + 1573, + 9532 + ], + [ + 1785, + 7725 + ], + [ + 8052, + 10787 + ], + [ + 2663, + 10852 + ], + [ + 2041, + 8819 + ], + [ + 5279, + 7229 + ], + [ + 5341, + 8107 + ], + [ + 1664, + 6617 + ], + [ + 4305, + 7023 + ], + [ + 855, + 4004 + ], + [ + 9900, + 10244 + ], + [ + 1254, + 7685 + ], + [ + 2532, + 2640 + ], + [ + 3297, + 10616 + ], + [ + 8310, + 10449 + ], + [ + 1679, + 6144 + ], + [ + 3145, + 3779 + ], + [ + 3761, + 5997 + ], + [ + 6223, + 8350 + ], + [ + 1370, + 11401 + ], + [ + 4906, + 7024 + ], + [ + 770, + 1048 + ], + [ + 3687, + 6987 + ], + [ + 7709, + 9643 + ], + [ + 985, + 2141 + ], + [ + 2282, + 6972 + ], + [ + 7273, + 10244 + ], + [ + 4183, + 7568 + ], + [ + 4462, + 6983 + ], + [ + 5683, + 7066 + ], + [ + 5019, + 7840 + ], + [ + 1966, + 8429 + ], + [ + 5207, + 10520 + ], + [ + 4961, + 7835 + ], + [ + 6893, + 6990 + ], + [ + 5394, + 10346 + ], + [ + 1196, + 3492 + ], + [ + 7725, + 9772 + ], + [ + 1094, + 5467 + ], + [ + 1496, + 7167 + ], + [ + 2865, + 10154 + ], + [ + 1925, + 2362 + ], + [ + 7900, + 11466 + ], + [ + 1938, + 6731 + ], + [ + 5314, + 11521 + ], + [ + 7156, + 7750 + ], + [ + 6337, + 10865 + ], + [ + 936, + 4477 + ], + [ + 1337, + 2569 + ], + [ + 9078, + 9223 + ], + [ + 4568, + 6978 + ], + [ + 3317, + 7430 + ], + [ + 4818, + 10536 + ], + [ + 2757, + 6275 + ], + [ + 5752, + 11343 + ], + [ + 2481, + 6377 + ], + [ + 8016, + 9547 + ], + [ + 7512, + 8324 + ], + [ + 2653, + 5171 + ], + [ + 4213, + 5474 + ], + [ + 5240, + 8724 + ], + [ + 7415, + 8391 + ], + [ + 5892, + 7189 + ], + [ + 1539, + 2676 + ], + [ + 5489, + 9428 + ], + [ + 3304, + 9827 + ], + [ + 888, + 1403 + ], + [ + 1127, + 10087 + ], + [ + 1839, + 5597 + ], + [ + 690, + 4047 + ], + [ + 4353, + 8113 + ], + [ + 3735, + 9232 + ], + [ + 2250, + 4350 + ], + [ + 3869, + 5260 + ], + [ + 2685, + 4278 + ], + [ + 6654, + 8828 + ], + [ + 743, + 7064 + ], + [ + 1333, + 8061 + ], + [ + 1892, + 5581 + ], + [ + 2234, + 8728 + ], + [ + 3951, + 6763 + ], + [ + 2230, + 4822 + ], + [ + 5807, + 7616 + ], + [ + 6675, + 10055 + ], + [ + 3163, + 6158 + ], + [ + 2201, + 3303 + ], + [ + 8236, + 10960 + ], + [ + 4535, + 7164 + ], + [ + 194, + 5694 + ], + [ + 4378, + 6426 + ], + [ + 3158, + 9197 + ], + [ + 4930, + 6939 + ], + [ + 1629, + 4016 + ], + [ + 1787, + 4602 + ], + [ + 99, + 5807 + ], + [ + 6948, + 11503 + ], + [ + 3930, + 4731 + ], + [ + 654, + 10001 + ], + [ + 7321, + 10553 + ], + [ + 9993, + 10272 + ], + [ + 8198, + 10826 + ], + [ + 7472, + 8470 + ], + [ + 226, + 4047 + ], + [ + 5627, + 11189 + ], + [ + 1098, + 11146 + ], + [ + 1685, + 7708 + ], + [ + 7227, + 7885 + ], + [ + 962, + 11285 + ], + [ + 4415, + 11569 + ], + [ + 22, + 9909 + ], + [ + 2008, + 5890 + ], + [ + 9860, + 11032 + ], + [ + 2880, + 5819 + ], + [ + 677, + 4858 + ], + [ + 4157, + 6965 + ], + [ + 6388, + 9193 + ], + [ + 1964, + 5968 + ], + [ + 1292, + 10234 + ], + [ + 5414, + 5954 + ], + [ + 62, + 11536 + ], + [ + 3341, + 10701 + ], + [ + 6448, + 9594 + ], + [ + 1749, + 10860 + ], + [ + 130, + 3534 + ], + [ + 4550, + 7017 + ], + [ + 4170, + 7550 + ], + [ + 8684, + 9914 + ], + [ + 2144, + 11389 + ], + [ + 1213, + 1431 + ], + [ + 2049, + 8119 + ], + [ + 6567, + 8727 + ], + [ + 8484, + 9102 + ], + [ + 5844, + 11550 + ], + [ + 77, + 2395 + ], + [ + 6439, + 9481 + ], + [ + 2758, + 9747 + ], + [ + 4033, + 7437 + ], + [ + 3757, + 5287 + ], + [ + 2198, + 8592 + ], + [ + 6864, + 11350 + ], + [ + 259, + 1096 + ], + [ + 4873, + 7828 + ], + [ + 1914, + 2417 + ], + [ + 2197, + 4957 + ], + [ + 3597, + 11421 + ], + [ + 2322, + 3151 + ], + [ + 3375, + 6124 + ], + [ + 5763, + 8336 + ], + [ + 7325, + 9466 + ], + [ + 9628, + 11008 + ], + [ + 2811, + 3315 + ], + [ + 194, + 7467 + ], + [ + 6360, + 9723 + ], + [ + 1711, + 3936 + ], + [ + 1031, + 4177 + ], + [ + 313, + 8098 + ], + [ + 3794, + 4014 + ], + [ + 7307, + 10765 + ], + [ + 5318, + 8070 + ], + [ + 1617, + 2022 + ], + [ + 6188, + 7926 + ], + [ + 4501, + 4815 + ], + [ + 612, + 11548 + ], + [ + 4595, + 8614 + ], + [ + 582, + 759 + ], + [ + 5155, + 6736 + ], + [ + 139, + 6605 + ], + [ + 4521, + 9604 + ], + [ + 3196, + 6135 + ], + [ + 6730, + 7347 + ], + [ + 5142, + 5750 + ], + [ + 6824, + 6982 + ], + [ + 2627, + 9398 + ], + [ + 9377, + 9453 + ], + [ + 2790, + 11082 + ], + [ + 3463, + 7418 + ], + [ + 1565, + 7093 + ], + [ + 3898, + 7346 + ], + [ + 9847, + 11065 + ], + [ + 3063, + 3512 + ], + [ + 9193, + 10275 + ], + [ + 9131, + 9397 + ], + [ + 4107, + 10903 + ], + [ + 3372, + 11437 + ], + [ + 6006, + 8420 + ], + [ + 4892, + 11587 + ], + [ + 3392, + 5673 + ], + [ + 7998, + 8380 + ], + [ + 377, + 8998 + ], + [ + 3297, + 5786 + ], + [ + 8243, + 10813 + ], + [ + 6531, + 6706 + ], + [ + 609, + 646 + ], + [ + 2890, + 7125 + ], + [ + 1398, + 5236 + ], + [ + 1644, + 2259 + ], + [ + 1642, + 5596 + ], + [ + 7829, + 8729 + ], + [ + 917, + 8346 + ], + [ + 6001, + 7645 + ], + [ + 3341, + 10969 + ], + [ + 8323, + 9237 + ], + [ + 1191, + 10800 + ], + [ + 3412, + 6648 + ], + [ + 6478, + 9704 + ], + [ + 8189, + 9422 + ], + [ + 2067, + 7438 + ], + [ + 1659, + 9333 + ], + [ + 157, + 9008 + ], + [ + 2583, + 6042 + ], + [ + 5332, + 7671 + ], + [ + 3302, + 4975 + ], + [ + 4267, + 7347 + ], + [ + 8193, + 10295 + ], + [ + 3455, + 5971 + ], + [ + 67, + 6082 + ], + [ + 3150, + 5335 + ], + [ + 7415, + 7749 + ], + [ + 1899, + 2377 + ], + [ + 428, + 1365 + ], + [ + 10398, + 11302 + ], + [ + 4882, + 5930 + ], + [ + 3084, + 6967 + ], + [ + 4665, + 8147 + ], + [ + 10148, + 10373 + ], + [ + 1986, + 4251 + ], + [ + 1189, + 10323 + ], + [ + 7997, + 9602 + ], + [ + 3946, + 5427 + ], + [ + 4032, + 10863 + ], + [ + 2208, + 6515 + ], + [ + 1358, + 8065 + ], + [ + 525, + 8064 + ], + [ + 62, + 6088 + ], + [ + 4658, + 8107 + ], + [ + 10638, + 11139 + ], + [ + 6744, + 6948 + ], + [ + 7805, + 9782 + ], + [ + 1293, + 6889 + ], + [ + 3154, + 8086 + ], + [ + 638, + 8126 + ], + [ + 1328, + 2911 + ], + [ + 7138, + 8006 + ], + [ + 2437, + 8445 + ], + [ + 7258, + 8108 + ], + [ + 7416, + 9448 + ], + [ + 6264, + 10633 + ], + [ + 6114, + 6902 + ], + [ + 2836, + 11345 + ], + [ + 2832, + 8193 + ], + [ + 4549, + 10392 + ], + [ + 2703, + 3087 + ], + [ + 674, + 3999 + ], + [ + 966, + 7783 + ], + [ + 6842, + 7082 + ], + [ + 8622, + 8849 + ], + [ + 6197, + 9007 + ], + [ + 3447, + 7153 + ], + [ + 2449, + 8805 + ], + [ + 3101, + 6516 + ], + [ + 4878, + 11018 + ], + [ + 9384, + 10111 + ], + [ + 6767, + 7847 + ], + [ + 7548, + 8412 + ], + [ + 2880, + 4827 + ], + [ + 1606, + 10745 + ], + [ + 349, + 7218 + ], + [ + 569, + 3020 + ], + [ + 4464, + 6655 + ], + [ + 3686, + 9771 + ], + [ + 8564, + 10722 + ], + [ + 3280, + 9083 + ], + [ + 224, + 5991 + ], + [ + 2715, + 9082 + ], + [ + 4329, + 10402 + ], + [ + 4198, + 4469 + ], + [ + 4607, + 9592 + ], + [ + 3013, + 3262 + ], + [ + 1151, + 2594 + ], + [ + 4043, + 6783 + ], + [ + 1030, + 4519 + ], + [ + 3256, + 6403 + ], + [ + 5093, + 8704 + ], + [ + 8957, + 10774 + ], + [ + 3666, + 7964 + ], + [ + 1085, + 7609 + ], + [ + 1584, + 9242 + ], + [ + 10763, + 11510 + ], + [ + 3196, + 8981 + ], + [ + 2570, + 6075 + ], + [ + 5935, + 10676 + ], + [ + 2133, + 6074 + ], + [ + 7717, + 9106 + ], + [ + 398, + 4427 + ], + [ + 618, + 8897 + ], + [ + 5054, + 6497 + ], + [ + 3973, + 5640 + ], + [ + 117, + 4185 + ], + [ + 3527, + 7805 + ], + [ + 1949, + 6896 + ], + [ + 760, + 4816 + ], + [ + 913, + 5058 + ], + [ + 414, + 4179 + ], + [ + 1221, + 2959 + ], + [ + 290, + 5833 + ], + [ + 4925, + 7026 + ], + [ + 257, + 3441 + ], + [ + 7046, + 9840 + ], + [ + 1223, + 9421 + ], + [ + 2152, + 10638 + ], + [ + 1637, + 8472 + ], + [ + 2213, + 7127 + ], + [ + 6175, + 9732 + ], + [ + 8183, + 10225 + ], + [ + 6041, + 9917 + ], + [ + 10543, + 11520 + ], + [ + 2570, + 8303 + ], + [ + 5947, + 10255 + ], + [ + 4507, + 8556 + ], + [ + 3664, + 7113 + ], + [ + 873, + 5982 + ], + [ + 4758, + 5923 + ], + [ + 4107, + 11066 + ], + [ + 9165, + 9918 + ], + [ + 2508, + 10808 + ], + [ + 6830, + 7340 + ], + [ + 8170, + 8835 + ], + [ + 1138, + 3432 + ], + [ + 3763, + 10475 + ], + [ + 5776, + 11312 + ], + [ + 2934, + 6486 + ], + [ + 396, + 2795 + ], + [ + 3632, + 4542 + ], + [ + 6899, + 8608 + ], + [ + 4492, + 9372 + ], + [ + 3434, + 4557 + ], + [ + 2379, + 4921 + ], + [ + 5529, + 7648 + ], + [ + 8320, + 9533 + ], + [ + 5732, + 8007 + ], + [ + 632, + 8929 + ], + [ + 2678, + 5742 + ], + [ + 1497, + 7687 + ], + [ + 4401, + 6975 + ], + [ + 3248, + 10968 + ], + [ + 6302, + 7571 + ], + [ + 8095, + 10354 + ], + [ + 1185, + 5880 + ], + [ + 8662, + 9647 + ], + [ + 1028, + 5896 + ], + [ + 5952, + 7192 + ], + [ + 3928, + 7694 + ], + [ + 7818, + 10985 + ], + [ + 11226, + 11526 + ], + [ + 4195, + 8977 + ], + [ + 4735, + 6447 + ], + [ + 3481, + 3972 + ], + [ + 3788, + 10316 + ], + [ + 4967, + 5292 + ], + [ + 4787, + 10020 + ], + [ + 5059, + 8264 + ], + [ + 6753, + 11011 + ], + [ + 7894, + 9667 + ], + [ + 2042, + 10762 + ], + [ + 3687, + 7231 + ], + [ + 9196, + 11432 + ], + [ + 4242, + 5009 + ], + [ + 5375, + 9409 + ], + [ + 7149, + 7978 + ], + [ + 6079, + 8064 + ], + [ + 10726, + 10772 + ], + [ + 2351, + 9238 + ], + [ + 1126, + 10911 + ], + [ + 1411, + 1446 + ], + [ + 2493, + 11573 + ], + [ + 9509, + 10027 + ], + [ + 6419, + 7351 + ], + [ + 2781, + 11451 + ], + [ + 3216, + 11379 + ], + [ + 7602, + 9616 + ], + [ + 5071, + 8624 + ], + [ + 2650, + 6272 + ], + [ + 1373, + 8509 + ], + [ + 5879, + 6848 + ], + [ + 4757, + 5990 + ], + [ + 3573, + 8418 + ], + [ + 2931, + 4979 + ], + [ + 7903, + 9729 + ], + [ + 1886, + 6061 + ], + [ + 6619, + 10795 + ], + [ + 7302, + 7819 + ], + [ + 331, + 10239 + ], + [ + 866, + 7365 + ], + [ + 1136, + 11198 + ], + [ + 3543, + 7428 + ], + [ + 273, + 9480 + ], + [ + 2477, + 9885 + ], + [ + 2138, + 4003 + ], + [ + 2194, + 10728 + ], + [ + 11153, + 11532 + ], + [ + 4377, + 10256 + ], + [ + 3682, + 9465 + ], + [ + 6739, + 8995 + ], + [ + 3692, + 3737 + ], + [ + 3616, + 11097 + ], + [ + 498, + 10537 + ], + [ + 7067, + 8302 + ], + [ + 314, + 2314 + ], + [ + 4826, + 11021 + ], + [ + 3427, + 5159 + ], + [ + 10519, + 10613 + ], + [ + 3139, + 7910 + ], + [ + 7125, + 8657 + ], + [ + 2147, + 6344 + ], + [ + 6042, + 7727 + ], + [ + 4048, + 4688 + ], + [ + 3353, + 6149 + ], + [ + 2673, + 6390 + ], + [ + 1049, + 2130 + ], + [ + 1054, + 2474 + ], + [ + 4106, + 8830 + ], + [ + 1616, + 10091 + ], + [ + 1700, + 2622 + ], + [ + 245, + 9660 + ], + [ + 3574, + 8188 + ], + [ + 3135, + 11524 + ], + [ + 50, + 2776 + ], + [ + 2663, + 5298 + ], + [ + 1875, + 4316 + ], + [ + 1412, + 2340 + ], + [ + 2564, + 10954 + ], + [ + 3314, + 9954 + ], + [ + 9470, + 11522 + ], + [ + 1070, + 6740 + ], + [ + 918, + 9352 + ], + [ + 6109, + 7794 + ], + [ + 469, + 4830 + ], + [ + 5921, + 8497 + ], + [ + 322, + 1370 + ], + [ + 4730, + 9754 + ], + [ + 2206, + 3517 + ], + [ + 2049, + 5785 + ], + [ + 1219, + 9465 + ], + [ + 9144, + 9258 + ], + [ + 5792, + 9026 + ], + [ + 5100, + 5500 + ], + [ + 2713, + 8394 + ], + [ + 3821, + 6910 + ], + [ + 3628, + 7269 + ], + [ + 343, + 2597 + ], + [ + 675, + 11472 + ], + [ + 491, + 2495 + ], + [ + 4534, + 6028 + ], + [ + 4045, + 10001 + ], + [ + 9298, + 10075 + ], + [ + 1972, + 4225 + ], + [ + 5065, + 5664 + ], + [ + 6679, + 6984 + ], + [ + 1321, + 9368 + ], + [ + 2162, + 9984 + ], + [ + 6936, + 7549 + ], + [ + 1785, + 7782 + ], + [ + 3978, + 11408 + ], + [ + 10385, + 11097 + ], + [ + 299, + 9091 + ], + [ + 5827, + 11090 + ], + [ + 2128, + 10750 + ], + [ + 7135, + 7385 + ], + [ + 2498, + 3867 + ], + [ + 4805, + 5151 + ], + [ + 9712, + 10250 + ], + [ + 3698, + 4601 + ], + [ + 336, + 4435 + ], + [ + 6098, + 6830 + ], + [ + 3057, + 4770 + ], + [ + 2432, + 8882 + ], + [ + 4225, + 7501 + ], + [ + 3301, + 5130 + ], + [ + 1062, + 7922 + ], + [ + 5869, + 10161 + ], + [ + 7208, + 8021 + ], + [ + 2819, + 3851 + ], + [ + 9613, + 10594 + ], + [ + 6399, + 10326 + ], + [ + 5833, + 7471 + ], + [ + 1041, + 5540 + ], + [ + 5526, + 10172 + ], + [ + 10008, + 10369 + ], + [ + 7673, + 7791 + ], + [ + 2982, + 8918 + ], + [ + 6394, + 9201 + ], + [ + 8352, + 9577 + ], + [ + 1538, + 9729 + ], + [ + 2689, + 4909 + ], + [ + 13, + 7700 + ], + [ + 6357, + 7067 + ], + [ + 4557, + 7277 + ], + [ + 1873, + 6043 + ], + [ + 6792, + 6995 + ], + [ + 1163, + 7573 + ], + [ + 719, + 4149 + ], + [ + 1431, + 1911 + ], + [ + 1871, + 8599 + ], + [ + 873, + 3835 + ], + [ + 4166, + 6116 + ], + [ + 6655, + 6882 + ], + [ + 10760, + 11293 + ], + [ + 144, + 427 + ], + [ + 7986, + 11297 + ], + [ + 3235, + 5957 + ], + [ + 4998, + 5865 + ], + [ + 622, + 6818 + ], + [ + 8209, + 9999 + ], + [ + 4305, + 5120 + ], + [ + 4936, + 8370 + ], + [ + 1046, + 5833 + ], + [ + 3776, + 8940 + ], + [ + 980, + 7465 + ], + [ + 1319, + 6931 + ], + [ + 1221, + 3390 + ], + [ + 792, + 7414 + ], + [ + 3464, + 7133 + ], + [ + 4398, + 4530 + ], + [ + 3754, + 10844 + ], + [ + 3064, + 10397 + ], + [ + 757, + 2697 + ], + [ + 4872, + 7796 + ], + [ + 3998, + 4788 + ], + [ + 1247, + 1578 + ], + [ + 8225, + 10882 + ], + [ + 1212, + 3277 + ], + [ + 654, + 10863 + ], + [ + 1220, + 3138 + ], + [ + 5115, + 10937 + ], + [ + 5418, + 7740 + ], + [ + 2343, + 6850 + ], + [ + 7873, + 9676 + ], + [ + 784, + 3739 + ], + [ + 3143, + 5213 + ], + [ + 751, + 7763 + ], + [ + 5670, + 8715 + ], + [ + 4424, + 10265 + ], + [ + 3142, + 5742 + ], + [ + 406, + 1312 + ], + [ + 5156, + 9433 + ], + [ + 1605, + 6362 + ], + [ + 2926, + 3643 + ], + [ + 4968, + 9382 + ], + [ + 398, + 7086 + ], + [ + 6616, + 9532 + ], + [ + 2610, + 5100 + ], + [ + 1386, + 10381 + ], + [ + 820, + 5274 + ], + [ + 6124, + 6791 + ], + [ + 3536, + 5265 + ], + [ + 2192, + 5526 + ], + [ + 2039, + 3032 + ], + [ + 397, + 6834 + ], + [ + 2870, + 2960 + ], + [ + 2221, + 4766 + ], + [ + 7549, + 10087 + ], + [ + 6541, + 11051 + ], + [ + 2623, + 7964 + ], + [ + 1174, + 9909 + ], + [ + 761, + 11460 + ], + [ + 2788, + 4059 + ], + [ + 3676, + 4521 + ], + [ + 386, + 5921 + ], + [ + 102, + 6162 + ], + [ + 6361, + 9363 + ], + [ + 817, + 8359 + ], + [ + 3952, + 10054 + ], + [ + 3241, + 3812 + ], + [ + 10056, + 11432 + ], + [ + 1193, + 11090 + ], + [ + 5818, + 10841 + ], + [ + 8715, + 8958 + ], + [ + 1284, + 4038 + ], + [ + 3997, + 6764 + ], + [ + 7595, + 9681 + ], + [ + 4487, + 9809 + ], + [ + 380, + 4571 + ], + [ + 251, + 2471 + ], + [ + 7513, + 10780 + ], + [ + 4234, + 5953 + ], + [ + 7415, + 7993 + ], + [ + 1529, + 3842 + ], + [ + 906, + 3863 + ], + [ + 1002, + 10741 + ], + [ + 7253, + 9163 + ], + [ + 839, + 2641 + ], + [ + 6999, + 8115 + ], + [ + 217, + 608 + ], + [ + 4605, + 10969 + ], + [ + 8301, + 11011 + ], + [ + 6990, + 7248 + ], + [ + 3669, + 7083 + ], + [ + 78, + 449 + ], + [ + 2317, + 6702 + ], + [ + 2327, + 11554 + ], + [ + 7857, + 10216 + ], + [ + 4058, + 9295 + ], + [ + 3034, + 3310 + ], + [ + 4806, + 7468 + ], + [ + 1542, + 7837 + ], + [ + 208, + 3124 + ], + [ + 731, + 5151 + ], + [ + 2200, + 9500 + ], + [ + 8143, + 10021 + ], + [ + 2350, + 6061 + ], + [ + 4583, + 9116 + ], + [ + 2413, + 10547 + ], + [ + 9598, + 9776 + ], + [ + 4433, + 6139 + ], + [ + 10438, + 10921 + ], + [ + 8124, + 8466 + ], + [ + 5973, + 7695 + ], + [ + 6420, + 9138 + ], + [ + 904, + 3766 + ], + [ + 4916, + 5734 + ], + [ + 1304, + 11055 + ], + [ + 10950, + 11254 + ], + [ + 3694, + 4645 + ], + [ + 8148, + 9210 + ], + [ + 772, + 3997 + ], + [ + 6936, + 9590 + ], + [ + 5057, + 7063 + ], + [ + 11034, + 11332 + ], + [ + 3198, + 10076 + ], + [ + 2653, + 5846 + ], + [ + 2971, + 4435 + ], + [ + 3124, + 7683 + ], + [ + 4533, + 5565 + ], + [ + 5155, + 10981 + ], + [ + 5031, + 9225 + ], + [ + 77, + 2802 + ], + [ + 6763, + 7568 + ], + [ + 3098, + 9845 + ], + [ + 9507, + 9607 + ], + [ + 2592, + 11205 + ], + [ + 5985, + 11438 + ], + [ + 3435, + 6232 + ], + [ + 2163, + 8813 + ], + [ + 2461, + 6026 + ], + [ + 38, + 9263 + ], + [ + 3190, + 6401 + ], + [ + 4419, + 7156 + ], + [ + 1714, + 11461 + ], + [ + 7047, + 10710 + ], + [ + 1464, + 4116 + ], + [ + 1899, + 4044 + ], + [ + 10646, + 10819 + ], + [ + 11112, + 11558 + ], + [ + 3149, + 9029 + ], + [ + 7215, + 7850 + ], + [ + 4324, + 7269 + ], + [ + 5414, + 8589 + ], + [ + 1672, + 1786 + ], + [ + 3824, + 5411 + ], + [ + 6287, + 11372 + ], + [ + 703, + 5307 + ], + [ + 2382, + 7022 + ], + [ + 1236, + 1606 + ], + [ + 6745, + 9971 + ], + [ + 492, + 10722 + ], + [ + 9502, + 11491 + ], + [ + 5625, + 9159 + ], + [ + 109, + 3787 + ], + [ + 5279, + 8522 + ], + [ + 7815, + 8380 + ], + [ + 4686, + 10637 + ], + [ + 230, + 5245 + ], + [ + 2212, + 10933 + ], + [ + 1715, + 3711 + ], + [ + 1601, + 6807 + ], + [ + 5018, + 7434 + ], + [ + 434, + 2042 + ], + [ + 7013, + 11075 + ], + [ + 1562, + 6098 + ], + [ + 965, + 1678 + ], + [ + 373, + 8182 + ], + [ + 39, + 9060 + ], + [ + 8333, + 10413 + ], + [ + 4720, + 6464 + ], + [ + 3017, + 9990 + ], + [ + 7647, + 10839 + ], + [ + 6652, + 11254 + ], + [ + 4943, + 5166 + ], + [ + 795, + 4091 + ], + [ + 3723, + 7937 + ], + [ + 3315, + 6422 + ], + [ + 4503, + 8277 + ], + [ + 454, + 7181 + ], + [ + 1975, + 7556 + ], + [ + 5648, + 10058 + ], + [ + 3093, + 4508 + ], + [ + 8359, + 8951 + ], + [ + 4061, + 4899 + ], + [ + 845, + 3804 + ], + [ + 9277, + 11507 + ], + [ + 5273, + 7148 + ], + [ + 3484, + 7547 + ], + [ + 648, + 6673 + ], + [ + 904, + 4384 + ], + [ + 1879, + 7444 + ], + [ + 5172, + 10479 + ], + [ + 6101, + 6778 + ], + [ + 3823, + 10396 + ], + [ + 9805, + 10845 + ], + [ + 2776, + 9123 + ], + [ + 2174, + 10775 + ], + [ + 7683, + 8560 + ], + [ + 2017, + 6627 + ], + [ + 2213, + 3533 + ], + [ + 5533, + 10643 + ], + [ + 8432, + 9587 + ], + [ + 4841, + 7117 + ], + [ + 2351, + 2716 + ], + [ + 4097, + 5653 + ], + [ + 3787, + 11089 + ], + [ + 3350, + 8082 + ], + [ + 3625, + 5843 + ], + [ + 6123, + 8607 + ], + [ + 1603, + 7926 + ], + [ + 458, + 9528 + ], + [ + 2005, + 4708 + ], + [ + 7555, + 9664 + ], + [ + 2634, + 5633 + ], + [ + 4895, + 10736 + ], + [ + 361, + 3179 + ], + [ + 478, + 4518 + ], + [ + 2434, + 11237 + ], + [ + 3093, + 3703 + ], + [ + 1814, + 2861 + ], + [ + 1411, + 8106 + ], + [ + 7512, + 9967 + ], + [ + 72, + 6459 + ], + [ + 5576, + 10316 + ], + [ + 162, + 8604 + ], + [ + 649, + 8722 + ], + [ + 3214, + 8544 + ], + [ + 6683, + 9361 + ], + [ + 8599, + 10235 + ], + [ + 4143, + 4843 + ], + [ + 4640, + 5649 + ], + [ + 337, + 6915 + ], + [ + 65, + 2255 + ], + [ + 3735, + 7492 + ], + [ + 8437, + 9907 + ], + [ + 1930, + 7358 + ], + [ + 125, + 9476 + ], + [ + 2704, + 6752 + ], + [ + 6620, + 8258 + ], + [ + 5995, + 8206 + ], + [ + 6220, + 10768 + ], + [ + 4635, + 8688 + ], + [ + 3233, + 3309 + ], + [ + 3516, + 11511 + ], + [ + 3727, + 10233 + ], + [ + 4596, + 5727 + ], + [ + 7698, + 11446 + ], + [ + 7204, + 10911 + ], + [ + 8978, + 9480 + ], + [ + 886, + 1845 + ], + [ + 887, + 11115 + ], + [ + 1453, + 3390 + ], + [ + 8235, + 8618 + ], + [ + 986, + 11094 + ], + [ + 1535, + 5674 + ], + [ + 5934, + 10532 + ], + [ + 2402, + 5259 + ], + [ + 1068, + 6962 + ], + [ + 7174, + 9167 + ], + [ + 8194, + 11246 + ], + [ + 546, + 7789 + ], + [ + 2248, + 4792 + ], + [ + 9493, + 11242 + ], + [ + 5138, + 5902 + ], + [ + 623, + 9729 + ], + [ + 10024, + 10878 + ], + [ + 4382, + 7087 + ], + [ + 7974, + 10913 + ], + [ + 842, + 7558 + ], + [ + 2994, + 5521 + ], + [ + 2578, + 3391 + ], + [ + 2581, + 3662 + ], + [ + 6727, + 8074 + ], + [ + 5918, + 6215 + ], + [ + 10892, + 11038 + ], + [ + 18, + 8050 + ], + [ + 10084, + 11279 + ], + [ + 1746, + 9627 + ], + [ + 4348, + 8607 + ], + [ + 2295, + 4207 + ], + [ + 245, + 3488 + ], + [ + 7774, + 9697 + ], + [ + 1133, + 3950 + ], + [ + 5802, + 11143 + ], + [ + 5179, + 5502 + ], + [ + 598, + 3791 + ], + [ + 2192, + 2924 + ], + [ + 2522, + 5310 + ], + [ + 2897, + 4433 + ], + [ + 1627, + 7841 + ], + [ + 5484, + 5734 + ], + [ + 4737, + 4753 + ], + [ + 1691, + 8765 + ], + [ + 504, + 7512 + ], + [ + 3859, + 6507 + ], + [ + 3403, + 6456 + ], + [ + 4291, + 6918 + ], + [ + 4583, + 10702 + ], + [ + 1865, + 9884 + ], + [ + 3521, + 10649 + ], + [ + 472, + 7974 + ], + [ + 2554, + 4444 + ], + [ + 472, + 1558 + ], + [ + 7430, + 8732 + ], + [ + 1645, + 11049 + ], + [ + 6440, + 10245 + ], + [ + 4191, + 5933 + ], + [ + 4982, + 7186 + ], + [ + 5720, + 11087 + ], + [ + 4080, + 9300 + ], + [ + 9173, + 11371 + ], + [ + 2113, + 10336 + ], + [ + 549, + 6881 + ], + [ + 8983, + 11247 + ], + [ + 3496, + 8525 + ], + [ + 4555, + 10532 + ], + [ + 76, + 7600 + ], + [ + 2632, + 9588 + ], + [ + 1622, + 3309 + ], + [ + 4094, + 6350 + ], + [ + 1283, + 3843 + ], + [ + 76, + 10983 + ], + [ + 632, + 2570 + ], + [ + 2527, + 11265 + ], + [ + 3826, + 10507 + ], + [ + 5, + 9238 + ], + [ + 273, + 9992 + ], + [ + 2988, + 7129 + ], + [ + 7029, + 7583 + ], + [ + 3639, + 4615 + ], + [ + 1366, + 5167 + ], + [ + 5285, + 10354 + ], + [ + 242, + 7646 + ], + [ + 330, + 3329 + ], + [ + 1422, + 5476 + ], + [ + 4839, + 6103 + ], + [ + 1394, + 10598 + ], + [ + 2977, + 5435 + ], + [ + 5559, + 6392 + ], + [ + 1457, + 1498 + ], + [ + 5870, + 10226 + ], + [ + 1321, + 2391 + ], + [ + 326, + 9976 + ], + [ + 766, + 7242 + ], + [ + 6275, + 11443 + ], + [ + 635, + 4315 + ], + [ + 1077, + 5414 + ], + [ + 7073, + 8979 + ], + [ + 4681, + 11529 + ], + [ + 6, + 10937 + ], + [ + 1869, + 2381 + ], + [ + 6700, + 7650 + ], + [ + 1652, + 3844 + ], + [ + 98, + 7493 + ], + [ + 2498, + 9722 + ], + [ + 6512, + 7599 + ], + [ + 8222, + 10879 + ], + [ + 10056, + 10253 + ], + [ + 6131, + 10159 + ], + [ + 2238, + 7324 + ], + [ + 2515, + 10076 + ], + [ + 741, + 5091 + ], + [ + 8429, + 9078 + ], + [ + 1541, + 9089 + ], + [ + 3449, + 3686 + ], + [ + 5037, + 10201 + ], + [ + 2351, + 8140 + ], + [ + 391, + 10347 + ], + [ + 3353, + 7361 + ], + [ + 2849, + 3132 + ], + [ + 5028, + 5170 + ], + [ + 4718, + 10606 + ], + [ + 9625, + 10043 + ], + [ + 1851, + 7413 + ], + [ + 756, + 4968 + ], + [ + 2530, + 3537 + ], + [ + 5582, + 9893 + ], + [ + 10157, + 10281 + ], + [ + 1439, + 2746 + ], + [ + 377, + 6103 + ], + [ + 6101, + 8014 + ], + [ + 6882, + 8579 + ], + [ + 1397, + 2520 + ], + [ + 2809, + 6335 + ], + [ + 8743, + 9022 + ], + [ + 620, + 9244 + ], + [ + 4203, + 8066 + ], + [ + 1338, + 8706 + ], + [ + 7268, + 8241 + ], + [ + 5191, + 5699 + ], + [ + 8298, + 11008 + ], + [ + 3319, + 3589 + ], + [ + 7589, + 10511 + ], + [ + 7080, + 8190 + ], + [ + 7582, + 9340 + ], + [ + 987, + 11108 + ], + [ + 3870, + 11047 + ], + [ + 2060, + 4153 + ], + [ + 4367, + 5437 + ], + [ + 10531, + 11030 + ], + [ + 1192, + 4343 + ], + [ + 11, + 7042 + ], + [ + 2277, + 5319 + ], + [ + 919, + 8880 + ], + [ + 3161, + 3353 + ], + [ + 6726, + 10294 + ], + [ + 1258, + 6094 + ], + [ + 630, + 8777 + ], + [ + 2226, + 8737 + ], + [ + 1161, + 1997 + ], + [ + 2155, + 10025 + ], + [ + 307, + 395 + ], + [ + 5203, + 6059 + ], + [ + 8303, + 8699 + ], + [ + 5104, + 9463 + ], + [ + 66, + 683 + ], + [ + 8458, + 8987 + ], + [ + 922, + 1607 + ], + [ + 6596, + 8319 + ], + [ + 56, + 3378 + ], + [ + 5066, + 9329 + ], + [ + 6675, + 9551 + ], + [ + 6406, + 11578 + ], + [ + 9849, + 10420 + ], + [ + 1077, + 6032 + ], + [ + 2403, + 10103 + ], + [ + 815, + 7752 + ], + [ + 2401, + 9276 + ], + [ + 2807, + 7712 + ], + [ + 281, + 7818 + ], + [ + 5482, + 6948 + ], + [ + 2188, + 5196 + ], + [ + 4884, + 9473 + ], + [ + 2019, + 9359 + ], + [ + 2769, + 4195 + ], + [ + 5004, + 8077 + ], + [ + 1394, + 3645 + ], + [ + 8370, + 9116 + ], + [ + 4108, + 6219 + ], + [ + 6415, + 7503 + ], + [ + 3237, + 3482 + ], + [ + 1047, + 2783 + ], + [ + 6466, + 8222 + ], + [ + 5566, + 6245 + ], + [ + 8052, + 9746 + ], + [ + 5970, + 11024 + ], + [ + 6844, + 7616 + ], + [ + 8652, + 11431 + ], + [ + 146, + 1335 + ], + [ + 6061, + 10388 + ], + [ + 3315, + 8276 + ], + [ + 2358, + 3513 + ], + [ + 168, + 2814 + ], + [ + 6303, + 9921 + ], + [ + 2046, + 8122 + ], + [ + 1418, + 8553 + ], + [ + 236, + 1228 + ], + [ + 2852, + 3267 + ], + [ + 4182, + 11244 + ], + [ + 2991, + 6085 + ], + [ + 3376, + 5896 + ], + [ + 6015, + 10393 + ], + [ + 5113, + 5337 + ], + [ + 4324, + 10546 + ], + [ + 1719, + 5633 + ], + [ + 2933, + 8709 + ], + [ + 5818, + 9475 + ], + [ + 1124, + 7675 + ], + [ + 1425, + 8569 + ], + [ + 3018, + 4094 + ], + [ + 2806, + 6655 + ], + [ + 4363, + 6687 + ], + [ + 3976, + 6049 + ], + [ + 3168, + 10454 + ], + [ + 8462, + 11283 + ], + [ + 1368, + 5002 + ], + [ + 4480, + 10655 + ], + [ + 3602, + 10911 + ], + [ + 5164, + 11287 + ], + [ + 2131, + 3483 + ], + [ + 121, + 2163 + ], + [ + 1332, + 1558 + ], + [ + 5595, + 7309 + ], + [ + 3809, + 7225 + ], + [ + 4561, + 7052 + ], + [ + 3435, + 8704 + ], + [ + 6759, + 6888 + ], + [ + 11152, + 11177 + ], + [ + 8127, + 9650 + ], + [ + 571, + 9165 + ], + [ + 1459, + 9627 + ], + [ + 688, + 3334 + ], + [ + 6758, + 10046 + ], + [ + 500, + 10453 + ], + [ + 2732, + 3484 + ], + [ + 4705, + 5646 + ], + [ + 2523, + 9726 + ], + [ + 847, + 8282 + ], + [ + 114, + 10417 + ], + [ + 3235, + 8242 + ], + [ + 2650, + 5337 + ], + [ + 897, + 1229 + ], + [ + 4699, + 5831 + ], + [ + 3577, + 11389 + ], + [ + 9872, + 10083 + ], + [ + 7346, + 9435 + ], + [ + 901, + 1348 + ], + [ + 6100, + 10985 + ], + [ + 1366, + 9786 + ], + [ + 9256, + 10524 + ], + [ + 6561, + 9101 + ], + [ + 6432, + 11165 + ], + [ + 8271, + 10129 + ], + [ + 477, + 1959 + ], + [ + 2748, + 6969 + ], + [ + 5709, + 6791 + ], + [ + 5636, + 11416 + ], + [ + 2207, + 3612 + ], + [ + 2468, + 8083 + ], + [ + 7910, + 11062 + ], + [ + 5448, + 5703 + ], + [ + 8063, + 11304 + ], + [ + 2146, + 5588 + ], + [ + 220, + 963 + ], + [ + 3149, + 7663 + ], + [ + 3641, + 8125 + ], + [ + 8271, + 8974 + ], + [ + 1426, + 3397 + ], + [ + 1871, + 10429 + ], + [ + 1021, + 5563 + ], + [ + 6129, + 9420 + ], + [ + 5876, + 11226 + ], + [ + 176, + 3293 + ], + [ + 6970, + 10036 + ], + [ + 983, + 2827 + ], + [ + 7304, + 9158 + ], + [ + 956, + 10803 + ], + [ + 5001, + 7993 + ], + [ + 5393, + 11257 + ], + [ + 1914, + 3336 + ], + [ + 10291, + 11332 + ], + [ + 389, + 7723 + ], + [ + 3009, + 11416 + ], + [ + 2257, + 10091 + ], + [ + 8659, + 8682 + ], + [ + 9562, + 10176 + ], + [ + 7233, + 10796 + ], + [ + 2875, + 5939 + ], + [ + 2279, + 4373 + ], + [ + 1286, + 6369 + ], + [ + 6599, + 10658 + ], + [ + 5797, + 9216 + ], + [ + 873, + 4510 + ], + [ + 2435, + 4886 + ], + [ + 6036, + 11484 + ], + [ + 177, + 9910 + ], + [ + 7054, + 11238 + ], + [ + 6997, + 10704 + ], + [ + 3733, + 6909 + ], + [ + 8060, + 10201 + ], + [ + 5687, + 10549 + ], + [ + 3548, + 11293 + ], + [ + 3137, + 9507 + ], + [ + 2333, + 7992 + ], + [ + 7176, + 9888 + ], + [ + 2384, + 10209 + ], + [ + 6780, + 9134 + ], + [ + 9918, + 10346 + ], + [ + 4531, + 7828 + ], + [ + 4001, + 11046 + ], + [ + 8108, + 9868 + ], + [ + 6124, + 8271 + ], + [ + 2358, + 3326 + ], + [ + 456, + 2505 + ], + [ + 6653, + 7080 + ], + [ + 4091, + 4523 + ], + [ + 4086, + 4179 + ], + [ + 261, + 2037 + ], + [ + 7641, + 8123 + ], + [ + 1381, + 5451 + ], + [ + 4511, + 6802 + ], + [ + 3991, + 4292 + ], + [ + 5300, + 7228 + ], + [ + 7478, + 9822 + ], + [ + 2066, + 8937 + ], + [ + 4886, + 11560 + ], + [ + 8943, + 11019 + ], + [ + 1459, + 3829 + ], + [ + 2675, + 6951 + ], + [ + 2262, + 11508 + ], + [ + 2957, + 5883 + ], + [ + 3597, + 6997 + ], + [ + 840, + 11112 + ], + [ + 2628, + 7135 + ], + [ + 3567, + 8286 + ], + [ + 6588, + 8159 + ], + [ + 1101, + 2027 + ], + [ + 333, + 6585 + ], + [ + 336, + 10266 + ], + [ + 6616, + 7174 + ], + [ + 2321, + 2639 + ], + [ + 6832, + 7738 + ], + [ + 10750, + 10825 + ], + [ + 3165, + 6936 + ], + [ + 1909, + 10050 + ], + [ + 6520, + 10849 + ], + [ + 6736, + 11413 + ], + [ + 8443, + 8760 + ], + [ + 198, + 7299 + ], + [ + 4833, + 7738 + ], + [ + 4518, + 8666 + ], + [ + 6297, + 8333 + ], + [ + 4979, + 7563 + ], + [ + 1288, + 8619 + ], + [ + 4079, + 5586 + ], + [ + 7074, + 11408 + ], + [ + 8965, + 10562 + ], + [ + 4514, + 5514 + ], + [ + 5086, + 11567 + ], + [ + 9876, + 10419 + ], + [ + 4668, + 9364 + ], + [ + 8506, + 9459 + ], + [ + 10469, + 10933 + ], + [ + 99, + 9922 + ], + [ + 686, + 822 + ], + [ + 6064, + 7758 + ], + [ + 364, + 4743 + ], + [ + 3765, + 11253 + ], + [ + 2141, + 9245 + ], + [ + 5315, + 10114 + ], + [ + 3639, + 5664 + ], + [ + 8649, + 8986 + ], + [ + 1020, + 9743 + ], + [ + 1245, + 8141 + ], + [ + 3640, + 9272 + ], + [ + 2293, + 5852 + ], + [ + 4355, + 11469 + ], + [ + 2201, + 6263 + ], + [ + 425, + 11031 + ], + [ + 2784, + 6089 + ], + [ + 1020, + 6710 + ], + [ + 5992, + 6542 + ], + [ + 6497, + 11373 + ], + [ + 451, + 9219 + ], + [ + 3288, + 11449 + ], + [ + 1268, + 9441 + ], + [ + 10440, + 11292 + ], + [ + 2875, + 3174 + ], + [ + 4153, + 10207 + ], + [ + 2398, + 3020 + ], + [ + 823, + 8044 + ], + [ + 3753, + 6301 + ], + [ + 1817, + 9656 + ], + [ + 5385, + 8200 + ], + [ + 1589, + 4544 + ], + [ + 3987, + 5192 + ], + [ + 1834, + 7758 + ], + [ + 268, + 3476 + ], + [ + 4501, + 6352 + ], + [ + 7302, + 8925 + ], + [ + 2267, + 10242 + ], + [ + 5312, + 9011 + ], + [ + 5432, + 6861 + ], + [ + 4680, + 5536 + ], + [ + 4221, + 10849 + ], + [ + 2282, + 7517 + ], + [ + 1536, + 2974 + ], + [ + 170, + 258 + ], + [ + 8669, + 9183 + ], + [ + 3313, + 5978 + ], + [ + 2368, + 6510 + ], + [ + 4805, + 11250 + ], + [ + 6259, + 10403 + ], + [ + 5734, + 7549 + ], + [ + 3120, + 4802 + ], + [ + 3211, + 11336 + ], + [ + 4142, + 8462 + ], + [ + 1750, + 11012 + ], + [ + 253, + 8779 + ], + [ + 4735, + 8976 + ], + [ + 2677, + 4232 + ], + [ + 7159, + 9347 + ], + [ + 3630, + 10007 + ], + [ + 2122, + 9837 + ], + [ + 4949, + 6461 + ], + [ + 128, + 6798 + ], + [ + 8278, + 9153 + ], + [ + 3985, + 11107 + ], + [ + 4596, + 8817 + ], + [ + 1151, + 6896 + ], + [ + 3948, + 5563 + ], + [ + 7585, + 7654 + ], + [ + 360, + 2610 + ], + [ + 5239, + 6415 + ], + [ + 2188, + 3667 + ], + [ + 3378, + 8601 + ], + [ + 2848, + 5403 + ], + [ + 4188, + 7652 + ], + [ + 5735, + 6996 + ], + [ + 2004, + 10905 + ], + [ + 4986, + 5188 + ], + [ + 4063, + 5671 + ], + [ + 9441, + 11109 + ], + [ + 4742, + 5959 + ], + [ + 2185, + 10162 + ], + [ + 1280, + 7841 + ], + [ + 1688, + 3694 + ], + [ + 6908, + 7792 + ], + [ + 9813, + 9934 + ], + [ + 1812, + 11085 + ], + [ + 5922, + 9424 + ], + [ + 208, + 4067 + ], + [ + 7776, + 9450 + ], + [ + 4481, + 10506 + ], + [ + 4199, + 5158 + ], + [ + 10324, + 11577 + ], + [ + 300, + 623 + ], + [ + 361, + 7692 + ], + [ + 2267, + 8632 + ], + [ + 1071, + 3129 + ], + [ + 169, + 10905 + ], + [ + 4286, + 11169 + ], + [ + 2531, + 6234 + ], + [ + 1134, + 1199 + ], + [ + 79, + 1563 + ], + [ + 237, + 9319 + ], + [ + 7396, + 10333 + ], + [ + 74, + 11018 + ], + [ + 4217, + 5333 + ], + [ + 3379, + 4988 + ], + [ + 1314, + 9653 + ], + [ + 8777, + 11078 + ], + [ + 446, + 3427 + ], + [ + 1272, + 3011 + ], + [ + 788, + 7328 + ], + [ + 4520, + 6273 + ], + [ + 3856, + 7047 + ], + [ + 5576, + 8763 + ], + [ + 9490, + 10196 + ], + [ + 156, + 3853 + ], + [ + 5847, + 9788 + ], + [ + 897, + 7271 + ], + [ + 2948, + 4428 + ], + [ + 5568, + 8121 + ], + [ + 8360, + 8696 + ], + [ + 521, + 1507 + ], + [ + 861, + 1575 + ], + [ + 5279, + 7237 + ], + [ + 1115, + 5629 + ], + [ + 234, + 7866 + ], + [ + 5251, + 9353 + ], + [ + 2942, + 7242 + ], + [ + 2001, + 3012 + ], + [ + 5751, + 9676 + ], + [ + 2009, + 9289 + ], + [ + 2164, + 4696 + ], + [ + 8734, + 10977 + ], + [ + 7295, + 8722 + ], + [ + 6149, + 7470 + ], + [ + 3349, + 8505 + ], + [ + 5429, + 10564 + ], + [ + 3218, + 3326 + ], + [ + 919, + 1903 + ], + [ + 7318, + 7393 + ], + [ + 2316, + 4686 + ], + [ + 8565, + 8697 + ], + [ + 5819, + 10749 + ], + [ + 619, + 7303 + ], + [ + 1245, + 6799 + ], + [ + 10248, + 11285 + ], + [ + 971, + 5476 + ], + [ + 7595, + 9364 + ], + [ + 3108, + 8069 + ], + [ + 60, + 9002 + ], + [ + 5015, + 5447 + ], + [ + 5016, + 9055 + ], + [ + 8123, + 8702 + ], + [ + 4575, + 9312 + ], + [ + 10137, + 10141 + ], + [ + 3067, + 8418 + ], + [ + 1800, + 11343 + ], + [ + 6603, + 7424 + ], + [ + 3096, + 3871 + ], + [ + 4427, + 10538 + ], + [ + 382, + 10342 + ], + [ + 2966, + 7962 + ], + [ + 4241, + 5652 + ], + [ + 5610, + 6387 + ], + [ + 3922, + 6838 + ], + [ + 2955, + 3639 + ], + [ + 3684, + 7424 + ], + [ + 2898, + 3105 + ], + [ + 9814, + 10023 + ], + [ + 2805, + 6324 + ], + [ + 845, + 2869 + ], + [ + 3962, + 9620 + ], + [ + 7969, + 10490 + ], + [ + 782, + 1766 + ], + [ + 2404, + 9363 + ], + [ + 1248, + 3259 + ], + [ + 4388, + 5298 + ], + [ + 6215, + 6911 + ], + [ + 5201, + 8030 + ], + [ + 800, + 2345 + ], + [ + 4971, + 8507 + ], + [ + 5446, + 10463 + ], + [ + 7495, + 10957 + ], + [ + 1320, + 6703 + ], + [ + 7925, + 10541 + ], + [ + 1416, + 7165 + ], + [ + 237, + 9937 + ], + [ + 3719, + 8707 + ], + [ + 3528, + 4975 + ], + [ + 7516, + 8801 + ], + [ + 4902, + 6808 + ], + [ + 1975, + 5816 + ], + [ + 3867, + 8578 + ], + [ + 4304, + 8579 + ], + [ + 1902, + 4025 + ], + [ + 809, + 8823 + ], + [ + 1550, + 9235 + ], + [ + 4012, + 8178 + ], + [ + 414, + 5261 + ], + [ + 2497, + 11001 + ], + [ + 1611, + 6478 + ], + [ + 1016, + 2885 + ], + [ + 8560, + 10126 + ], + [ + 1924, + 4723 + ], + [ + 1299, + 4671 + ], + [ + 29, + 1663 + ], + [ + 4292, + 7414 + ], + [ + 3762, + 4216 + ], + [ + 6243, + 7373 + ], + [ + 8242, + 8504 + ], + [ + 2509, + 11011 + ], + [ + 3419, + 7260 + ], + [ + 4441, + 10920 + ], + [ + 4690, + 7460 + ], + [ + 4972, + 10556 + ], + [ + 5655, + 10586 + ], + [ + 3604, + 7013 + ], + [ + 701, + 10579 + ], + [ + 6140, + 6871 + ], + [ + 6093, + 7025 + ], + [ + 11258, + 11416 + ], + [ + 1076, + 9702 + ], + [ + 1446, + 2065 + ], + [ + 5623, + 8796 + ], + [ + 1920, + 8337 + ], + [ + 8857, + 9716 + ], + [ + 5206, + 9447 + ], + [ + 1761, + 6772 + ], + [ + 5649, + 6984 + ], + [ + 3211, + 9189 + ], + [ + 4188, + 6660 + ], + [ + 3426, + 3893 + ], + [ + 4306, + 10853 + ], + [ + 1751, + 9467 + ], + [ + 2084, + 11370 + ], + [ + 3766, + 10350 + ], + [ + 5168, + 7061 + ], + [ + 5163, + 6717 + ], + [ + 4567, + 5151 + ], + [ + 957, + 11299 + ], + [ + 2445, + 2866 + ], + [ + 5569, + 10788 + ], + [ + 6159, + 7621 + ], + [ + 170, + 339 + ], + [ + 2162, + 6715 + ], + [ + 3915, + 4407 + ], + [ + 205, + 9193 + ], + [ + 5970, + 8853 + ], + [ + 2317, + 7003 + ], + [ + 51, + 5720 + ], + [ + 9204, + 9773 + ], + [ + 5183, + 9971 + ], + [ + 3445, + 11059 + ], + [ + 4617, + 4864 + ], + [ + 1852, + 2702 + ], + [ + 3156, + 4540 + ], + [ + 1125, + 2373 + ], + [ + 3184, + 9971 + ], + [ + 2807, + 7769 + ], + [ + 4925, + 6148 + ], + [ + 250, + 8562 + ], + [ + 3527, + 10310 + ], + [ + 3360, + 5474 + ], + [ + 7969, + 11108 + ], + [ + 751, + 9487 + ], + [ + 274, + 10087 + ], + [ + 6665, + 8489 + ], + [ + 2902, + 7225 + ], + [ + 2675, + 8000 + ], + [ + 2398, + 9412 + ], + [ + 5168, + 6256 + ], + [ + 4542, + 9766 + ], + [ + 2138, + 4385 + ], + [ + 7375, + 10342 + ], + [ + 5720, + 6769 + ], + [ + 1697, + 3888 + ], + [ + 2605, + 6480 + ], + [ + 6178, + 11030 + ], + [ + 5688, + 10614 + ], + [ + 6712, + 8685 + ], + [ + 7949, + 9301 + ], + [ + 1135, + 5289 + ], + [ + 6799, + 7149 + ], + [ + 7790, + 8490 + ], + [ + 3989, + 10906 + ], + [ + 1785, + 7091 + ], + [ + 1007, + 6043 + ], + [ + 9726, + 10770 + ], + [ + 9031, + 9979 + ], + [ + 1937, + 3698 + ], + [ + 9476, + 10595 + ], + [ + 2155, + 11505 + ], + [ + 541, + 1517 + ], + [ + 5015, + 7488 + ], + [ + 4516, + 10773 + ], + [ + 7759, + 9527 + ], + [ + 4232, + 4598 + ], + [ + 1274, + 10709 + ], + [ + 959, + 2969 + ], + [ + 3822, + 6420 + ], + [ + 2951, + 9345 + ], + [ + 4329, + 7914 + ], + [ + 8216, + 10934 + ], + [ + 688, + 7579 + ], + [ + 8685, + 9692 + ], + [ + 7097, + 7341 + ], + [ + 2640, + 8894 + ], + [ + 5320, + 8474 + ], + [ + 868, + 9617 + ], + [ + 4497, + 8437 + ], + [ + 4461, + 5774 + ], + [ + 4906, + 6390 + ], + [ + 7553, + 8496 + ], + [ + 4463, + 5820 + ], + [ + 6462, + 6951 + ], + [ + 1606, + 10485 + ], + [ + 8109, + 9882 + ], + [ + 3745, + 6708 + ], + [ + 2274, + 5696 + ], + [ + 97, + 10120 + ], + [ + 319, + 2585 + ], + [ + 2185, + 3372 + ], + [ + 9060, + 11043 + ], + [ + 147, + 6450 + ], + [ + 7321, + 8496 + ], + [ + 3885, + 9347 + ], + [ + 5067, + 10256 + ], + [ + 373, + 5450 + ], + [ + 2572, + 5511 + ], + [ + 5975, + 6432 + ], + [ + 2241, + 10070 + ], + [ + 7122, + 8286 + ], + [ + 3049, + 8294 + ], + [ + 2041, + 9258 + ], + [ + 3253, + 11507 + ], + [ + 8077, + 9189 + ], + [ + 383, + 5387 + ], + [ + 3154, + 9249 + ], + [ + 7646, + 10134 + ], + [ + 5278, + 10826 + ], + [ + 5586, + 8727 + ], + [ + 4782, + 7212 + ], + [ + 2351, + 4172 + ], + [ + 4087, + 6421 + ], + [ + 4496, + 10790 + ], + [ + 1719, + 7113 + ], + [ + 6416, + 9184 + ], + [ + 531, + 7887 + ], + [ + 1835, + 8227 + ], + [ + 4204, + 10389 + ], + [ + 663, + 1590 + ], + [ + 2772, + 8551 + ], + [ + 5601, + 10139 + ], + [ + 5718, + 10724 + ], + [ + 926, + 5383 + ], + [ + 1301, + 4506 + ], + [ + 2072, + 4383 + ], + [ + 7317, + 10201 + ], + [ + 9301, + 10300 + ], + [ + 459, + 6671 + ], + [ + 1992, + 2145 + ], + [ + 669, + 7447 + ], + [ + 6276, + 8773 + ], + [ + 4132, + 9173 + ], + [ + 4973, + 9789 + ], + [ + 5193, + 11253 + ], + [ + 388, + 1543 + ], + [ + 4475, + 8758 + ], + [ + 5055, + 11319 + ], + [ + 738, + 3053 + ], + [ + 3532, + 10117 + ], + [ + 4776, + 5488 + ], + [ + 5798, + 9148 + ], + [ + 1011, + 10567 + ], + [ + 2663, + 7453 + ], + [ + 6018, + 7202 + ], + [ + 2126, + 3838 + ], + [ + 1730, + 7248 + ], + [ + 2162, + 3495 + ], + [ + 973, + 1415 + ], + [ + 6991, + 7937 + ], + [ + 8445, + 10500 + ], + [ + 720, + 969 + ], + [ + 6464, + 8420 + ], + [ + 6977, + 9759 + ], + [ + 516, + 7555 + ], + [ + 2588, + 5589 + ], + [ + 414, + 9530 + ], + [ + 5025, + 10329 + ], + [ + 6298, + 6438 + ], + [ + 5582, + 11186 + ], + [ + 2676, + 4655 + ], + [ + 2030, + 3726 + ], + [ + 5925, + 11525 + ], + [ + 1906, + 6134 + ], + [ + 39, + 4368 + ], + [ + 2055, + 5476 + ], + [ + 286, + 4999 + ], + [ + 5693, + 8923 + ], + [ + 3291, + 5867 + ], + [ + 5871, + 6751 + ], + [ + 3692, + 10348 + ], + [ + 5906, + 6183 + ], + [ + 7606, + 8775 + ], + [ + 4293, + 8471 + ], + [ + 295, + 4711 + ], + [ + 4031, + 10945 + ], + [ + 3074, + 8434 + ], + [ + 2542, + 8573 + ], + [ + 9722, + 10464 + ], + [ + 388, + 4121 + ], + [ + 3065, + 4184 + ], + [ + 599, + 8505 + ], + [ + 196, + 918 + ], + [ + 4022, + 5914 + ], + [ + 1097, + 5749 + ], + [ + 1227, + 11457 + ], + [ + 1805, + 4523 + ], + [ + 254, + 7689 + ], + [ + 7938, + 10803 + ], + [ + 4695, + 5633 + ], + [ + 11107, + 11328 + ], + [ + 2339, + 3676 + ], + [ + 59, + 7221 + ], + [ + 11239, + 11447 + ], + [ + 7648, + 11229 + ], + [ + 10213, + 11051 + ], + [ + 464, + 2022 + ], + [ + 7711, + 9299 + ], + [ + 6568, + 7564 + ], + [ + 7364, + 8437 + ], + [ + 6462, + 9797 + ], + [ + 925, + 3548 + ], + [ + 6642, + 8452 + ], + [ + 2132, + 6207 + ], + [ + 3849, + 4242 + ], + [ + 4749, + 6219 + ], + [ + 2099, + 3815 + ], + [ + 3116, + 7131 + ], + [ + 4005, + 4755 + ], + [ + 5058, + 6974 + ], + [ + 4187, + 10653 + ], + [ + 8596, + 9059 + ], + [ + 541, + 6941 + ], + [ + 1148, + 7915 + ], + [ + 1642, + 2034 + ], + [ + 2206, + 4062 + ], + [ + 2216, + 5504 + ], + [ + 3233, + 8066 + ], + [ + 4893, + 5567 + ], + [ + 7065, + 10598 + ], + [ + 281, + 3045 + ], + [ + 6681, + 7225 + ], + [ + 5724, + 8878 + ], + [ + 2663, + 4688 + ], + [ + 3514, + 10910 + ], + [ + 1236, + 10364 + ], + [ + 28, + 8234 + ], + [ + 4694, + 10992 + ], + [ + 1950, + 2537 + ], + [ + 6470, + 10388 + ], + [ + 1914, + 7044 + ], + [ + 174, + 889 + ], + [ + 974, + 5668 + ], + [ + 1395, + 1726 + ], + [ + 1451, + 9205 + ], + [ + 6709, + 9623 + ], + [ + 675, + 2568 + ], + [ + 12, + 6196 + ], + [ + 764, + 1859 + ], + [ + 3038, + 11331 + ], + [ + 1968, + 10663 + ], + [ + 2281, + 8908 + ], + [ + 1849, + 9251 + ], + [ + 7363, + 7380 + ], + [ + 1226, + 3610 + ], + [ + 4894, + 7266 + ], + [ + 6236, + 10342 + ], + [ + 1570, + 3420 + ], + [ + 5584, + 8467 + ], + [ + 1313, + 5484 + ], + [ + 1681, + 4190 + ], + [ + 4860, + 5403 + ], + [ + 2406, + 7075 + ], + [ + 7910, + 10932 + ], + [ + 6915, + 9095 + ], + [ + 341, + 5324 + ], + [ + 1055, + 3913 + ], + [ + 5069, + 8960 + ], + [ + 1707, + 8794 + ], + [ + 6432, + 6497 + ], + [ + 2114, + 10084 + ], + [ + 932, + 2759 + ], + [ + 1076, + 1757 + ], + [ + 81, + 7090 + ], + [ + 251, + 5781 + ], + [ + 1325, + 2461 + ], + [ + 1025, + 9339 + ], + [ + 6312, + 8243 + ], + [ + 2757, + 7682 + ], + [ + 9952, + 10605 + ], + [ + 2204, + 9196 + ], + [ + 2139, + 2385 + ], + [ + 8322, + 8782 + ], + [ + 1111, + 1162 + ], + [ + 8359, + 11293 + ], + [ + 6821, + 9059 + ], + [ + 1877, + 9740 + ], + [ + 6359, + 10691 + ], + [ + 5, + 8384 + ], + [ + 535, + 1002 + ], + [ + 3798, + 10988 + ], + [ + 811, + 9945 + ], + [ + 3842, + 11260 + ], + [ + 1683, + 6464 + ], + [ + 5170, + 5578 + ], + [ + 9712, + 9990 + ], + [ + 7814, + 9665 + ], + [ + 2888, + 5290 + ], + [ + 1685, + 3504 + ], + [ + 4825, + 5543 + ], + [ + 871, + 7717 + ], + [ + 840, + 8404 + ], + [ + 2795, + 2847 + ], + [ + 563, + 9816 + ], + [ + 6999, + 7237 + ], + [ + 1369, + 11377 + ], + [ + 5753, + 8787 + ], + [ + 6405, + 6498 + ], + [ + 4262, + 9752 + ], + [ + 988, + 5269 + ], + [ + 2858, + 10716 + ], + [ + 6238, + 11461 + ], + [ + 6274, + 11118 + ], + [ + 1076, + 10751 + ], + [ + 8173, + 10887 + ], + [ + 1886, + 9802 + ], + [ + 5002, + 7283 + ], + [ + 451, + 10699 + ], + [ + 1627, + 5377 + ], + [ + 6365, + 7449 + ], + [ + 4056, + 5338 + ], + [ + 10408, + 10982 + ], + [ + 3648, + 10239 + ], + [ + 1337, + 5049 + ], + [ + 4091, + 7776 + ], + [ + 4984, + 8582 + ], + [ + 2582, + 4028 + ], + [ + 2003, + 11491 + ], + [ + 8095, + 9102 + ], + [ + 2892, + 8391 + ], + [ + 6634, + 8778 + ], + [ + 4201, + 11327 + ], + [ + 6787, + 9020 + ], + [ + 4113, + 8474 + ], + [ + 8033, + 8224 + ], + [ + 5107, + 10086 + ], + [ + 501, + 7379 + ], + [ + 2265, + 5260 + ], + [ + 7310, + 8014 + ], + [ + 273, + 2267 + ], + [ + 1360, + 6322 + ], + [ + 2327, + 3105 + ], + [ + 5069, + 10733 + ], + [ + 4790, + 11318 + ], + [ + 4439, + 10337 + ], + [ + 3069, + 3715 + ], + [ + 984, + 10357 + ], + [ + 5153, + 6647 + ], + [ + 3255, + 3316 + ], + [ + 5925, + 9378 + ], + [ + 6575, + 10426 + ], + [ + 8187, + 10919 + ], + [ + 1814, + 4398 + ], + [ + 1124, + 6203 + ], + [ + 4468, + 9173 + ], + [ + 3857, + 6575 + ], + [ + 5240, + 5488 + ], + [ + 6190, + 6828 + ], + [ + 2155, + 3910 + ], + [ + 7313, + 11294 + ], + [ + 1709, + 10239 + ], + [ + 4262, + 7792 + ], + [ + 3236, + 7396 + ], + [ + 3668, + 7807 + ], + [ + 123, + 1518 + ], + [ + 6043, + 6751 + ], + [ + 3085, + 10610 + ], + [ + 1583, + 10285 + ], + [ + 1763, + 6688 + ], + [ + 5839, + 6197 + ], + [ + 5689, + 9636 + ], + [ + 5186, + 11267 + ], + [ + 4570, + 6043 + ], + [ + 3687, + 8207 + ], + [ + 1954, + 3223 + ], + [ + 6861, + 9076 + ], + [ + 2597, + 3100 + ], + [ + 6826, + 10021 + ], + [ + 608, + 1159 + ], + [ + 2963, + 5143 + ], + [ + 977, + 8381 + ], + [ + 2090, + 11405 + ], + [ + 4655, + 11227 + ], + [ + 2303, + 6036 + ], + [ + 3113, + 11503 + ], + [ + 4369, + 9143 + ], + [ + 2099, + 6206 + ], + [ + 8809, + 9114 + ], + [ + 6223, + 8415 + ], + [ + 5051, + 8948 + ], + [ + 2498, + 4225 + ], + [ + 1097, + 3952 + ], + [ + 1243, + 10193 + ], + [ + 470, + 7237 + ], + [ + 8219, + 11500 + ], + [ + 1425, + 3259 + ], + [ + 1298, + 6867 + ], + [ + 579, + 764 + ], + [ + 3825, + 10369 + ], + [ + 557, + 6832 + ], + [ + 6131, + 11428 + ], + [ + 3906, + 6012 + ], + [ + 1349, + 6805 + ], + [ + 5251, + 8605 + ], + [ + 354, + 4968 + ], + [ + 2258, + 9245 + ], + [ + 1380, + 3085 + ], + [ + 478, + 10861 + ], + [ + 5232, + 9302 + ], + [ + 2645, + 2716 + ], + [ + 3648, + 11207 + ], + [ + 1367, + 4728 + ], + [ + 3266, + 10913 + ], + [ + 4078, + 4375 + ], + [ + 4138, + 4426 + ], + [ + 8215, + 10953 + ], + [ + 2585, + 10929 + ], + [ + 3444, + 6489 + ], + [ + 9330, + 10640 + ], + [ + 144, + 785 + ], + [ + 4137, + 4955 + ], + [ + 5221, + 8739 + ], + [ + 6528, + 8596 + ], + [ + 8885, + 9243 + ], + [ + 423, + 9999 + ], + [ + 513, + 5728 + ], + [ + 222, + 2546 + ], + [ + 2291, + 10832 + ], + [ + 7756, + 9099 + ], + [ + 2322, + 5981 + ], + [ + 4712, + 6768 + ], + [ + 7016, + 7754 + ], + [ + 5075, + 8513 + ], + [ + 977, + 10154 + ], + [ + 1996, + 3717 + ], + [ + 7097, + 9813 + ], + [ + 4388, + 10966 + ], + [ + 1124, + 7171 + ], + [ + 7438, + 9325 + ], + [ + 766, + 2013 + ], + [ + 1956, + 7701 + ], + [ + 6283, + 10993 + ], + [ + 5375, + 7620 + ], + [ + 7173, + 10747 + ], + [ + 141, + 5344 + ], + [ + 1163, + 9004 + ], + [ + 3040, + 4288 + ], + [ + 2598, + 3943 + ], + [ + 4196, + 4730 + ], + [ + 6923, + 10572 + ], + [ + 5706, + 10608 + ], + [ + 8539, + 11184 + ], + [ + 196, + 9188 + ], + [ + 3817, + 11500 + ], + [ + 440, + 9548 + ], + [ + 10098, + 11262 + ], + [ + 3308, + 6146 + ], + [ + 10092, + 11447 + ], + [ + 1468, + 6957 + ], + [ + 2607, + 11202 + ], + [ + 8801, + 9090 + ], + [ + 1860, + 9467 + ], + [ + 1459, + 9123 + ], + [ + 774, + 9020 + ], + [ + 1178, + 8881 + ], + [ + 1331, + 9877 + ], + [ + 5575, + 11414 + ], + [ + 7008, + 9690 + ], + [ + 2791, + 9976 + ], + [ + 5869, + 11137 + ], + [ + 2572, + 11366 + ], + [ + 6627, + 9998 + ], + [ + 3286, + 3539 + ], + [ + 7525, + 11148 + ], + [ + 3666, + 10176 + ], + [ + 3194, + 10366 + ], + [ + 5527, + 10619 + ], + [ + 4782, + 6301 + ], + [ + 866, + 8959 + ], + [ + 18, + 756 + ], + [ + 983, + 3128 + ], + [ + 2194, + 8939 + ], + [ + 5845, + 9962 + ], + [ + 4532, + 9536 + ], + [ + 2003, + 5961 + ], + [ + 6113, + 10716 + ], + [ + 5966, + 11420 + ], + [ + 7272, + 7669 + ], + [ + 10195, + 11171 + ], + [ + 3132, + 6455 + ], + [ + 2571, + 8108 + ], + [ + 1974, + 10104 + ], + [ + 7149, + 8767 + ], + [ + 5952, + 6826 + ], + [ + 1545, + 7712 + ], + [ + 666, + 4360 + ], + [ + 2687, + 2806 + ], + [ + 1873, + 7019 + ], + [ + 2160, + 10459 + ], + [ + 5233, + 6358 + ], + [ + 4899, + 7236 + ], + [ + 5678, + 11138 + ], + [ + 876, + 5109 + ], + [ + 1722, + 10233 + ], + [ + 4276, + 11394 + ], + [ + 4206, + 4239 + ], + [ + 6683, + 9906 + ], + [ + 3539, + 3961 + ], + [ + 6340, + 6534 + ], + [ + 10333, + 10704 + ], + [ + 1303, + 7024 + ], + [ + 2381, + 10993 + ], + [ + 4719, + 7426 + ], + [ + 8358, + 11098 + ], + [ + 4569, + 10865 + ], + [ + 2723, + 4314 + ], + [ + 5185, + 6667 + ], + [ + 4818, + 5153 + ], + [ + 5566, + 9742 + ], + [ + 9136, + 10611 + ], + [ + 9079, + 10077 + ], + [ + 550, + 8857 + ], + [ + 423, + 1168 + ], + [ + 3628, + 10018 + ], + [ + 2721, + 11034 + ], + [ + 4030, + 6800 + ], + [ + 2879, + 5204 + ], + [ + 601, + 5412 + ], + [ + 3705, + 4788 + ], + [ + 9723, + 11310 + ], + [ + 7357, + 8665 + ], + [ + 6698, + 9783 + ], + [ + 1999, + 11049 + ], + [ + 841, + 1866 + ], + [ + 1907, + 5044 + ], + [ + 9434, + 10426 + ], + [ + 3615, + 5245 + ], + [ + 932, + 11029 + ], + [ + 834, + 4078 + ], + [ + 8089, + 11216 + ], + [ + 4453, + 9727 + ], + [ + 7125, + 9446 + ], + [ + 1829, + 8544 + ], + [ + 987, + 8457 + ], + [ + 3299, + 10085 + ], + [ + 1766, + 8195 + ], + [ + 6621, + 10852 + ], + [ + 4353, + 9496 + ], + [ + 8274, + 11346 + ], + [ + 3166, + 4079 + ], + [ + 6653, + 9609 + ], + [ + 3888, + 6693 + ], + [ + 2076, + 5388 + ], + [ + 240, + 10105 + ], + [ + 3681, + 8874 + ], + [ + 3939, + 7412 + ], + [ + 4835, + 7735 + ], + [ + 201, + 10150 + ], + [ + 4903, + 6149 + ], + [ + 3658, + 4137 + ], + [ + 1569, + 4244 + ], + [ + 4616, + 10256 + ], + [ + 4836, + 8310 + ], + [ + 473, + 3109 + ], + [ + 2809, + 9295 + ], + [ + 5443, + 6278 + ], + [ + 7605, + 11345 + ], + [ + 1504, + 3068 + ], + [ + 5389, + 9425 + ], + [ + 1091, + 5373 + ], + [ + 2734, + 6677 + ], + [ + 4358, + 8685 + ], + [ + 4203, + 11026 + ], + [ + 3974, + 5312 + ], + [ + 1331, + 4079 + ], + [ + 4204, + 8218 + ], + [ + 3975, + 8166 + ], + [ + 7342, + 9430 + ], + [ + 895, + 11096 + ], + [ + 2297, + 10059 + ], + [ + 2139, + 6467 + ], + [ + 7128, + 8158 + ], + [ + 3135, + 4742 + ], + [ + 7467, + 8378 + ], + [ + 6219, + 6849 + ], + [ + 5467, + 7022 + ], + [ + 3042, + 11344 + ], + [ + 2442, + 3243 + ], + [ + 3868, + 4512 + ], + [ + 2634, + 3413 + ], + [ + 6056, + 8548 + ], + [ + 2699, + 7972 + ], + [ + 4303, + 4440 + ], + [ + 546, + 6374 + ], + [ + 8144, + 8216 + ], + [ + 3414, + 10169 + ], + [ + 6363, + 8476 + ], + [ + 2313, + 4526 + ], + [ + 5798, + 6977 + ], + [ + 786, + 3582 + ], + [ + 9562, + 11095 + ], + [ + 4273, + 9112 + ], + [ + 7110, + 7178 + ], + [ + 4711, + 8557 + ], + [ + 8260, + 8549 + ], + [ + 9272, + 11521 + ], + [ + 7167, + 11095 + ], + [ + 591, + 5743 + ], + [ + 4230, + 5251 + ], + [ + 3012, + 8849 + ], + [ + 2177, + 11431 + ], + [ + 5078, + 7038 + ], + [ + 9496, + 9694 + ], + [ + 6745, + 11402 + ], + [ + 86, + 10711 + ], + [ + 1342, + 8351 + ], + [ + 6039, + 6258 + ], + [ + 3078, + 5682 + ], + [ + 177, + 10829 + ], + [ + 3697, + 5919 + ], + [ + 1546, + 11564 + ], + [ + 780, + 5615 + ], + [ + 235, + 1385 + ], + [ + 1055, + 1124 + ], + [ + 10356, + 11491 + ], + [ + 8360, + 8379 + ], + [ + 454, + 6384 + ], + [ + 1023, + 8756 + ], + [ + 8117, + 8621 + ], + [ + 8337, + 10839 + ], + [ + 273, + 1088 + ], + [ + 5706, + 6233 + ], + [ + 7106, + 8533 + ], + [ + 9131, + 10885 + ], + [ + 7522, + 8411 + ], + [ + 2073, + 4261 + ], + [ + 5302, + 11253 + ], + [ + 1549, + 11431 + ], + [ + 3187, + 10893 + ], + [ + 6024, + 8205 + ], + [ + 6862, + 9304 + ], + [ + 6337, + 6450 + ], + [ + 5496, + 11469 + ], + [ + 5605, + 5777 + ], + [ + 1778, + 3562 + ], + [ + 1401, + 7022 + ], + [ + 93, + 1278 + ], + [ + 4800, + 11207 + ], + [ + 650, + 8551 + ], + [ + 2732, + 5021 + ], + [ + 1985, + 10456 + ], + [ + 7688, + 11490 + ], + [ + 1308, + 7962 + ], + [ + 1189, + 6550 + ], + [ + 2544, + 2691 + ], + [ + 3820, + 9651 + ], + [ + 186, + 4071 + ], + [ + 10361, + 11030 + ], + [ + 991, + 9194 + ], + [ + 1853, + 4271 + ], + [ + 2391, + 11494 + ], + [ + 1696, + 6539 + ], + [ + 3819, + 9426 + ], + [ + 7616, + 9520 + ], + [ + 2069, + 8999 + ], + [ + 2576, + 11247 + ], + [ + 9425, + 10527 + ], + [ + 4623, + 10914 + ], + [ + 6925, + 9602 + ], + [ + 4459, + 9759 + ], + [ + 2403, + 5842 + ], + [ + 4772, + 8004 + ], + [ + 3810, + 9313 + ], + [ + 1195, + 2958 + ], + [ + 231, + 9856 + ], + [ + 3309, + 11017 + ], + [ + 8510, + 10901 + ], + [ + 977, + 7202 + ], + [ + 537, + 1268 + ], + [ + 693, + 8197 + ], + [ + 3585, + 3718 + ], + [ + 472, + 5754 + ], + [ + 1841, + 6489 + ], + [ + 1908, + 8465 + ], + [ + 8506, + 10378 + ], + [ + 5, + 4790 + ], + [ + 6696, + 9900 + ], + [ + 6226, + 7507 + ], + [ + 871, + 7156 + ], + [ + 618, + 2546 + ], + [ + 9057, + 11420 + ], + [ + 3756, + 7922 + ], + [ + 1118, + 7033 + ], + [ + 1954, + 7305 + ], + [ + 180, + 8736 + ], + [ + 1515, + 10641 + ], + [ + 4044, + 7800 + ], + [ + 7304, + 10695 + ], + [ + 3259, + 10499 + ], + [ + 2951, + 6182 + ], + [ + 3322, + 8569 + ], + [ + 1266, + 3898 + ], + [ + 825, + 6407 + ], + [ + 1138, + 4652 + ], + [ + 5372, + 5501 + ], + [ + 3710, + 7173 + ], + [ + 4964, + 10402 + ], + [ + 2197, + 7413 + ], + [ + 5953, + 10916 + ], + [ + 3625, + 4591 + ], + [ + 1317, + 10252 + ], + [ + 2497, + 10334 + ], + [ + 3937, + 9781 + ], + [ + 3302, + 9041 + ], + [ + 9499, + 10610 + ], + [ + 3584, + 5721 + ], + [ + 190, + 6017 + ], + [ + 1069, + 2953 + ], + [ + 2024, + 4637 + ], + [ + 5568, + 11455 + ], + [ + 2896, + 5320 + ], + [ + 1249, + 1608 + ], + [ + 1493, + 8384 + ], + [ + 7126, + 8679 + ], + [ + 3918, + 5193 + ], + [ + 4933, + 7682 + ], + [ + 6970, + 10768 + ], + [ + 5962, + 10978 + ], + [ + 3720, + 10843 + ], + [ + 3092, + 4104 + ], + [ + 6648, + 8273 + ], + [ + 1070, + 6187 + ], + [ + 913, + 7701 + ], + [ + 3385, + 11496 + ], + [ + 7048, + 9146 + ], + [ + 5238, + 7914 + ], + [ + 7141, + 8556 + ], + [ + 3712, + 6414 + ], + [ + 4514, + 11239 + ], + [ + 156, + 6382 + ], + [ + 6159, + 6954 + ], + [ + 1584, + 4314 + ], + [ + 2733, + 9247 + ], + [ + 4954, + 9259 + ], + [ + 1869, + 6927 + ], + [ + 959, + 4262 + ], + [ + 314, + 1306 + ], + [ + 2392, + 2538 + ], + [ + 4759, + 8037 + ], + [ + 4841, + 10321 + ], + [ + 8549, + 10343 + ], + [ + 7840, + 9846 + ], + [ + 2293, + 5161 + ], + [ + 2272, + 10700 + ], + [ + 1355, + 4612 + ], + [ + 7273, + 7520 + ], + [ + 2220, + 3370 + ], + [ + 6392, + 9757 + ], + [ + 6863, + 9342 + ], + [ + 791, + 5967 + ], + [ + 4244, + 6251 + ], + [ + 5775, + 7314 + ], + [ + 5274, + 9772 + ], + [ + 2165, + 7046 + ], + [ + 6862, + 9117 + ], + [ + 1504, + 7337 + ], + [ + 1592, + 7184 + ], + [ + 5867, + 10286 + ], + [ + 2280, + 7558 + ], + [ + 7192, + 10749 + ], + [ + 4083, + 4613 + ], + [ + 2505, + 3704 + ], + [ + 3024, + 8241 + ], + [ + 4679, + 8808 + ], + [ + 5336, + 7617 + ], + [ + 1305, + 7127 + ], + [ + 2458, + 3134 + ], + [ + 1499, + 10376 + ], + [ + 1753, + 5008 + ], + [ + 1058, + 10633 + ], + [ + 4022, + 9972 + ], + [ + 4674, + 5431 + ], + [ + 2202, + 2390 + ], + [ + 8676, + 8963 + ], + [ + 535, + 7825 + ], + [ + 3042, + 9197 + ], + [ + 4005, + 5080 + ], + [ + 5659, + 8428 + ], + [ + 5633, + 7207 + ], + [ + 7436, + 10678 + ], + [ + 1056, + 10156 + ], + [ + 2921, + 8089 + ], + [ + 6739, + 9060 + ], + [ + 3511, + 11338 + ], + [ + 791, + 1779 + ], + [ + 4001, + 4557 + ], + [ + 2982, + 5332 + ], + [ + 6177, + 7078 + ], + [ + 6402, + 9640 + ], + [ + 8513, + 11012 + ], + [ + 3995, + 4742 + ], + [ + 1166, + 4285 + ], + [ + 3026, + 4880 + ], + [ + 3209, + 7216 + ], + [ + 5941, + 10369 + ], + [ + 6466, + 6807 + ], + [ + 7498, + 11155 + ], + [ + 1738, + 3171 + ], + [ + 617, + 11583 + ], + [ + 5362, + 11416 + ], + [ + 3019, + 4059 + ], + [ + 5412, + 10779 + ], + [ + 6163, + 6217 + ], + [ + 2109, + 4023 + ], + [ + 3578, + 9126 + ], + [ + 9400, + 11572 + ], + [ + 6181, + 6796 + ], + [ + 6781, + 8481 + ], + [ + 3450, + 3464 + ], + [ + 1702, + 3864 + ], + [ + 1299, + 1939 + ], + [ + 6488, + 10888 + ], + [ + 6180, + 6571 + ], + [ + 172, + 5655 + ], + [ + 3778, + 8433 + ], + [ + 4836, + 7586 + ], + [ + 507, + 1215 + ], + [ + 300, + 4120 + ], + [ + 161, + 3961 + ], + [ + 322, + 11234 + ], + [ + 2960, + 5707 + ], + [ + 296, + 10013 + ], + [ + 2435, + 2853 + ], + [ + 6077, + 10206 + ], + [ + 354, + 569 + ], + [ + 4012, + 4291 + ], + [ + 5383, + 8105 + ], + [ + 904, + 5173 + ], + [ + 3977, + 5236 + ], + [ + 10050, + 11465 + ], + [ + 9150, + 9488 + ], + [ + 191, + 9438 + ], + [ + 5628, + 11319 + ], + [ + 30, + 5548 + ], + [ + 5346, + 9354 + ], + [ + 5843, + 10160 + ], + [ + 34, + 7919 + ], + [ + 4287, + 6566 + ], + [ + 853, + 4080 + ], + [ + 1417, + 6108 + ], + [ + 1695, + 1888 + ], + [ + 7856, + 7964 + ], + [ + 2004, + 2643 + ], + [ + 4371, + 8142 + ], + [ + 14, + 6893 + ], + [ + 5153, + 5899 + ], + [ + 7386, + 8200 + ], + [ + 5576, + 7722 + ], + [ + 1247, + 3603 + ], + [ + 2924, + 8655 + ], + [ + 3345, + 4713 + ], + [ + 974, + 5888 + ], + [ + 7329, + 11049 + ], + [ + 2928, + 5364 + ], + [ + 3779, + 10832 + ], + [ + 3086, + 6704 + ], + [ + 190, + 11441 + ], + [ + 3268, + 6186 + ], + [ + 5198, + 5268 + ], + [ + 1588, + 10662 + ], + [ + 5033, + 6921 + ], + [ + 4268, + 10996 + ], + [ + 3427, + 3964 + ], + [ + 5008, + 8554 + ], + [ + 6539, + 10371 + ], + [ + 3640, + 5011 + ], + [ + 1238, + 6873 + ], + [ + 307, + 3331 + ], + [ + 3564, + 5955 + ], + [ + 1420, + 1437 + ], + [ + 5907, + 6896 + ], + [ + 1301, + 4189 + ], + [ + 611, + 10158 + ], + [ + 4033, + 11129 + ], + [ + 2015, + 3532 + ], + [ + 2642, + 9292 + ], + [ + 9113, + 9932 + ], + [ + 4075, + 7568 + ], + [ + 8736, + 9982 + ], + [ + 9522, + 10891 + ], + [ + 1506, + 11010 + ], + [ + 1631, + 9958 + ], + [ + 1538, + 6761 + ], + [ + 1975, + 3352 + ], + [ + 982, + 5348 + ], + [ + 1133, + 8927 + ], + [ + 7384, + 8103 + ], + [ + 4247, + 5581 + ], + [ + 7387, + 7620 + ], + [ + 1532, + 9198 + ], + [ + 69, + 5795 + ], + [ + 2691, + 6151 + ], + [ + 1870, + 8439 + ], + [ + 3253, + 7352 + ], + [ + 4332, + 5130 + ], + [ + 1410, + 10898 + ], + [ + 4082, + 10617 + ], + [ + 7038, + 10095 + ], + [ + 1333, + 2572 + ], + [ + 6268, + 7410 + ], + [ + 248, + 4979 + ], + [ + 2584, + 11165 + ], + [ + 3090, + 3389 + ], + [ + 3730, + 10165 + ], + [ + 679, + 7417 + ], + [ + 7103, + 8211 + ], + [ + 2120, + 3302 + ], + [ + 2077, + 6638 + ], + [ + 7838, + 11060 + ], + [ + 3320, + 4790 + ], + [ + 3793, + 4448 + ], + [ + 4942, + 9381 + ], + [ + 3479, + 8984 + ], + [ + 1084, + 5601 + ], + [ + 3167, + 4925 + ], + [ + 455, + 8059 + ], + [ + 3497, + 6557 + ], + [ + 5799, + 7497 + ], + [ + 1387, + 2377 + ], + [ + 2347, + 4405 + ], + [ + 1755, + 4493 + ], + [ + 504, + 7951 + ], + [ + 5827, + 6512 + ], + [ + 849, + 8363 + ], + [ + 1534, + 2804 + ], + [ + 749, + 4749 + ], + [ + 250, + 3870 + ], + [ + 346, + 9994 + ], + [ + 2242, + 3830 + ], + [ + 1758, + 7393 + ], + [ + 2121, + 5001 + ], + [ + 7255, + 7827 + ], + [ + 412, + 5329 + ], + [ + 7375, + 8683 + ], + [ + 1643, + 6130 + ], + [ + 863, + 2003 + ], + [ + 6809, + 6959 + ], + [ + 3887, + 6311 + ], + [ + 4662, + 6307 + ], + [ + 858, + 5042 + ], + [ + 2236, + 3611 + ], + [ + 2413, + 5001 + ], + [ + 487, + 6792 + ], + [ + 2973, + 3123 + ], + [ + 4003, + 10808 + ], + [ + 2575, + 6460 + ], + [ + 4930, + 10444 + ], + [ + 5367, + 11199 + ], + [ + 6590, + 7945 + ], + [ + 4780, + 7467 + ], + [ + 7013, + 10522 + ], + [ + 9659, + 11272 + ], + [ + 907, + 1901 + ], + [ + 72, + 4483 + ], + [ + 10130, + 10857 + ], + [ + 2591, + 3960 + ], + [ + 2250, + 3667 + ], + [ + 3432, + 10992 + ], + [ + 8573, + 10825 + ], + [ + 1811, + 7003 + ], + [ + 257, + 3482 + ], + [ + 2309, + 10663 + ], + [ + 2240, + 6362 + ], + [ + 5039, + 7354 + ], + [ + 383, + 6038 + ], + [ + 1056, + 4626 + ], + [ + 376, + 4867 + ], + [ + 4641, + 10691 + ], + [ + 7351, + 7484 + ], + [ + 5138, + 11497 + ], + [ + 2433, + 2970 + ], + [ + 1148, + 1182 + ], + [ + 6727, + 10286 + ], + [ + 5406, + 5835 + ], + [ + 1622, + 10864 + ], + [ + 5631, + 8397 + ], + [ + 8160, + 8562 + ], + [ + 8151, + 10728 + ], + [ + 3760, + 9895 + ], + [ + 2571, + 7815 + ], + [ + 5074, + 6759 + ], + [ + 7247, + 9763 + ], + [ + 1573, + 6434 + ], + [ + 3159, + 5706 + ], + [ + 7047, + 11580 + ], + [ + 4528, + 6441 + ], + [ + 6835, + 7725 + ], + [ + 4624, + 6149 + ], + [ + 7389, + 9065 + ], + [ + 3939, + 6046 + ], + [ + 6079, + 8910 + ], + [ + 2591, + 9571 + ], + [ + 9228, + 11412 + ], + [ + 2683, + 6127 + ], + [ + 4641, + 6503 + ], + [ + 3400, + 8397 + ], + [ + 8257, + 8471 + ], + [ + 7875, + 8177 + ], + [ + 4329, + 5450 + ], + [ + 2085, + 7898 + ], + [ + 5290, + 10332 + ], + [ + 3800, + 5106 + ], + [ + 7972, + 11493 + ], + [ + 367, + 6228 + ], + [ + 3827, + 7683 + ], + [ + 2139, + 8134 + ], + [ + 456, + 2513 + ], + [ + 1982, + 3986 + ], + [ + 5132, + 6713 + ], + [ + 3167, + 8576 + ], + [ + 1400, + 4762 + ], + [ + 6618, + 8033 + ], + [ + 2516, + 7303 + ], + [ + 4854, + 7900 + ], + [ + 2180, + 7354 + ], + [ + 2431, + 11137 + ], + [ + 5991, + 11318 + ], + [ + 2608, + 10275 + ], + [ + 5841, + 8341 + ], + [ + 2880, + 8519 + ], + [ + 4626, + 11456 + ], + [ + 3630, + 7519 + ], + [ + 550, + 5531 + ], + [ + 9853, + 10309 + ], + [ + 710, + 3534 + ], + [ + 5175, + 6036 + ], + [ + 9761, + 10720 + ], + [ + 573, + 10618 + ], + [ + 4409, + 9886 + ], + [ + 2938, + 8874 + ], + [ + 3216, + 4654 + ], + [ + 1786, + 10059 + ], + [ + 785, + 860 + ], + [ + 1621, + 5296 + ], + [ + 4965, + 11272 + ], + [ + 10208, + 10658 + ], + [ + 41, + 3560 + ], + [ + 2061, + 5568 + ], + [ + 3427, + 9038 + ], + [ + 8315, + 10677 + ], + [ + 8685, + 9456 + ], + [ + 1309, + 10659 + ], + [ + 5758, + 8464 + ], + [ + 7038, + 9908 + ], + [ + 5173, + 5559 + ], + [ + 2463, + 3104 + ], + [ + 7636, + 11520 + ], + [ + 2332, + 4341 + ], + [ + 6600, + 10436 + ], + [ + 5822, + 9388 + ], + [ + 7878, + 11053 + ], + [ + 532, + 7934 + ], + [ + 8214, + 10221 + ], + [ + 3656, + 4552 + ], + [ + 4973, + 8480 + ], + [ + 9238, + 10140 + ], + [ + 5685, + 10406 + ], + [ + 45, + 9694 + ], + [ + 4154, + 5179 + ], + [ + 418, + 7990 + ], + [ + 602, + 10551 + ], + [ + 4211, + 9096 + ], + [ + 2370, + 9305 + ], + [ + 5701, + 7906 + ], + [ + 9073, + 9514 + ], + [ + 1511, + 7329 + ], + [ + 3157, + 6652 + ], + [ + 7226, + 9154 + ], + [ + 4793, + 5287 + ], + [ + 2774, + 3881 + ], + [ + 2459, + 4809 + ], + [ + 6873, + 10729 + ], + [ + 3018, + 9876 + ], + [ + 1151, + 8864 + ], + [ + 3291, + 10974 + ], + [ + 4683, + 6997 + ], + [ + 8177, + 9534 + ], + [ + 3033, + 4522 + ], + [ + 2661, + 8326 + ], + [ + 5157, + 6099 + ], + [ + 109, + 3047 + ], + [ + 4061, + 11380 + ], + [ + 6148, + 8194 + ], + [ + 6499, + 9175 + ], + [ + 2508, + 11467 + ], + [ + 913, + 1529 + ], + [ + 1200, + 5723 + ], + [ + 238, + 2114 + ], + [ + 5835, + 6916 + ], + [ + 6337, + 7312 + ], + [ + 1506, + 2797 + ], + [ + 5179, + 5299 + ], + [ + 2190, + 9845 + ], + [ + 4306, + 7397 + ], + [ + 2281, + 9209 + ], + [ + 3000, + 8896 + ], + [ + 505, + 9813 + ], + [ + 10718, + 10840 + ], + [ + 1964, + 7058 + ], + [ + 1783, + 11184 + ], + [ + 2192, + 9137 + ], + [ + 4546, + 10267 + ], + [ + 6041, + 9421 + ], + [ + 4946, + 11140 + ], + [ + 8399, + 11424 + ], + [ + 2932, + 6668 + ], + [ + 1461, + 5656 + ], + [ + 3024, + 9640 + ], + [ + 6403, + 10941 + ], + [ + 584, + 8766 + ], + [ + 747, + 9696 + ], + [ + 2476, + 4358 + ], + [ + 6066, + 11521 + ], + [ + 1587, + 10841 + ], + [ + 897, + 10394 + ], + [ + 1076, + 5441 + ], + [ + 1395, + 7638 + ], + [ + 5686, + 9021 + ], + [ + 4277, + 8887 + ], + [ + 6245, + 10705 + ], + [ + 6333, + 6388 + ], + [ + 792, + 2649 + ], + [ + 7326, + 7775 + ], + [ + 4585, + 6007 + ], + [ + 1027, + 1765 + ], + [ + 2558, + 6992 + ], + [ + 1190, + 2695 + ], + [ + 3841, + 8707 + ], + [ + 7685, + 8647 + ], + [ + 6301, + 10233 + ], + [ + 5937, + 8266 + ], + [ + 6, + 2090 + ], + [ + 3643, + 11351 + ], + [ + 1023, + 1242 + ], + [ + 842, + 2362 + ], + [ + 4231, + 11521 + ], + [ + 57, + 5061 + ], + [ + 8401, + 10665 + ], + [ + 5163, + 5839 + ], + [ + 11038, + 11329 + ], + [ + 8617, + 8977 + ], + [ + 2865, + 8024 + ], + [ + 2447, + 5067 + ], + [ + 2261, + 6597 + ], + [ + 2629, + 4549 + ], + [ + 6594, + 6671 + ], + [ + 9163, + 9675 + ], + [ + 732, + 4826 + ], + [ + 5220, + 8975 + ], + [ + 6923, + 8832 + ], + [ + 7107, + 11393 + ], + [ + 2749, + 6536 + ], + [ + 3679, + 5689 + ], + [ + 878, + 1618 + ], + [ + 1652, + 6674 + ], + [ + 1619, + 11452 + ], + [ + 5764, + 6594 + ], + [ + 3176, + 5068 + ], + [ + 3308, + 7439 + ], + [ + 7437, + 9992 + ], + [ + 243, + 4261 + ], + [ + 1838, + 6248 + ], + [ + 3708, + 10941 + ], + [ + 620, + 3430 + ], + [ + 3973, + 5762 + ], + [ + 5093, + 5793 + ], + [ + 2135, + 9652 + ], + [ + 2979, + 8287 + ], + [ + 2696, + 4966 + ], + [ + 2627, + 2917 + ], + [ + 1732, + 5448 + ], + [ + 7554, + 7894 + ], + [ + 4347, + 4633 + ], + [ + 7643, + 11349 + ], + [ + 2125, + 5150 + ], + [ + 10750, + 10996 + ], + [ + 5640, + 6312 + ], + [ + 7264, + 8320 + ], + [ + 10068, + 10410 + ], + [ + 3585, + 6003 + ], + [ + 5080, + 5157 + ], + [ + 1938, + 2291 + ], + [ + 7758, + 8074 + ], + [ + 5289, + 8714 + ], + [ + 4456, + 7959 + ], + [ + 5269, + 11445 + ], + [ + 2343, + 6891 + ], + [ + 378, + 9508 + ], + [ + 4196, + 10479 + ], + [ + 4726, + 6507 + ], + [ + 8922, + 11036 + ], + [ + 338, + 5945 + ], + [ + 4565, + 4869 + ], + [ + 1856, + 10186 + ], + [ + 1135, + 3256 + ], + [ + 2635, + 2754 + ], + [ + 8832, + 11493 + ], + [ + 1601, + 2497 + ], + [ + 6089, + 6646 + ], + [ + 7049, + 8674 + ], + [ + 2011, + 10474 + ], + [ + 9012, + 10148 + ], + [ + 8917, + 11042 + ], + [ + 1593, + 1855 + ], + [ + 572, + 7465 + ], + [ + 1534, + 4658 + ], + [ + 1066, + 2338 + ], + [ + 1845, + 8492 + ], + [ + 5520, + 7657 + ], + [ + 4675, + 9551 + ], + [ + 6772, + 7053 + ], + [ + 2663, + 11568 + ], + [ + 3155, + 5614 + ], + [ + 4218, + 5111 + ], + [ + 5646, + 9459 + ], + [ + 3277, + 7297 + ], + [ + 1654, + 1727 + ], + [ + 3491, + 4782 + ], + [ + 3613, + 9875 + ], + [ + 2641, + 6332 + ], + [ + 805, + 6885 + ], + [ + 4736, + 10177 + ], + [ + 10204, + 11371 + ], + [ + 6591, + 7422 + ], + [ + 746, + 3272 + ], + [ + 4706, + 11466 + ], + [ + 4455, + 7683 + ], + [ + 188, + 4442 + ], + [ + 2180, + 10818 + ], + [ + 2392, + 2595 + ], + [ + 2827, + 8939 + ], + [ + 361, + 6090 + ], + [ + 1517, + 5778 + ], + [ + 4287, + 9038 + ], + [ + 7303, + 8567 + ], + [ + 1634, + 7117 + ], + [ + 9302, + 9698 + ], + [ + 1118, + 5480 + ], + [ + 793, + 5720 + ], + [ + 768, + 7353 + ], + [ + 3724, + 6831 + ], + [ + 7423, + 10554 + ], + [ + 7304, + 9142 + ], + [ + 945, + 6491 + ], + [ + 4468, + 7514 + ], + [ + 3563, + 9357 + ], + [ + 4218, + 7339 + ], + [ + 610, + 3734 + ], + [ + 1544, + 10957 + ], + [ + 8450, + 11525 + ], + [ + 7041, + 7227 + ], + [ + 9382, + 11505 + ], + [ + 4490, + 6714 + ], + [ + 6974, + 8634 + ], + [ + 9780, + 11551 + ], + [ + 8526, + 9076 + ], + [ + 4150, + 9275 + ], + [ + 1559, + 1816 + ], + [ + 5731, + 8203 + ], + [ + 2656, + 6559 + ], + [ + 3427, + 6436 + ], + [ + 3730, + 10409 + ], + [ + 3831, + 10461 + ], + [ + 1651, + 11204 + ], + [ + 3948, + 5384 + ], + [ + 1771, + 5644 + ], + [ + 4942, + 6242 + ], + [ + 4128, + 10455 + ], + [ + 3725, + 9284 + ], + [ + 308, + 2241 + ], + [ + 4514, + 7458 + ], + [ + 6962, + 7469 + ], + [ + 4653, + 9522 + ], + [ + 2199, + 4778 + ], + [ + 2451, + 5753 + ], + [ + 5708, + 8377 + ], + [ + 1258, + 10347 + ], + [ + 10308, + 10515 + ], + [ + 3682, + 6554 + ], + [ + 5645, + 7274 + ], + [ + 734, + 11101 + ], + [ + 3308, + 10285 + ], + [ + 545, + 1780 + ], + [ + 691, + 8021 + ], + [ + 4627, + 10903 + ], + [ + 1195, + 2828 + ], + [ + 1310, + 3340 + ], + [ + 5678, + 6633 + ], + [ + 6170, + 7095 + ], + [ + 2809, + 9783 + ], + [ + 2597, + 11590 + ], + [ + 6140, + 8384 + ], + [ + 2150, + 4485 + ], + [ + 6687, + 8553 + ], + [ + 6814, + 10580 + ], + [ + 1421, + 7493 + ], + [ + 989, + 1420 + ], + [ + 3851, + 11062 + ], + [ + 5530, + 6361 + ], + [ + 6995, + 9056 + ], + [ + 5777, + 6238 + ], + [ + 3696, + 6206 + ], + [ + 4501, + 11329 + ], + [ + 3663, + 3814 + ], + [ + 9506, + 11301 + ], + [ + 5246, + 9985 + ], + [ + 3162, + 4020 + ], + [ + 290, + 2735 + ], + [ + 2074, + 2746 + ], + [ + 2387, + 7407 + ], + [ + 6640, + 7552 + ], + [ + 3371, + 7577 + ], + [ + 5611, + 7639 + ], + [ + 1323, + 10691 + ], + [ + 5242, + 9462 + ], + [ + 7360, + 7841 + ], + [ + 1319, + 6785 + ], + [ + 2212, + 7591 + ], + [ + 5666, + 10729 + ], + [ + 8728, + 11357 + ], + [ + 721, + 2140 + ], + [ + 4045, + 6740 + ], + [ + 2004, + 10271 + ], + [ + 1035, + 3993 + ], + [ + 6821, + 10946 + ], + [ + 1680, + 4697 + ], + [ + 8345, + 8586 + ], + [ + 2488, + 9337 + ], + [ + 7273, + 7845 + ], + [ + 2925, + 3676 + ], + [ + 7305, + 10012 + ], + [ + 2268, + 4840 + ], + [ + 1112, + 2146 + ], + [ + 3479, + 4235 + ], + [ + 1954, + 6370 + ], + [ + 2014, + 10585 + ], + [ + 7611, + 10469 + ], + [ + 6145, + 9801 + ], + [ + 5716, + 7409 + ], + [ + 325, + 7401 + ], + [ + 4461, + 4709 + ], + [ + 3807, + 6171 + ], + [ + 2759, + 8460 + ], + [ + 5592, + 9036 + ], + [ + 5399, + 8641 + ], + [ + 2839, + 9917 + ], + [ + 8599, + 10731 + ], + [ + 3711, + 9846 + ], + [ + 2555, + 3742 + ], + [ + 6739, + 10890 + ], + [ + 2005, + 8937 + ], + [ + 2463, + 4153 + ], + [ + 3578, + 3840 + ], + [ + 1246, + 10605 + ], + [ + 9398, + 9623 + ], + [ + 5265, + 9580 + ], + [ + 3589, + 11546 + ], + [ + 1562, + 8367 + ], + [ + 4040, + 5591 + ], + [ + 1968, + 7557 + ], + [ + 4291, + 9374 + ], + [ + 2031, + 11289 + ], + [ + 7342, + 11341 + ], + [ + 8930, + 10686 + ], + [ + 623, + 8347 + ], + [ + 5657, + 9057 + ], + [ + 3611, + 6582 + ], + [ + 2136, + 8080 + ], + [ + 1893, + 8322 + ], + [ + 6805, + 8103 + ], + [ + 1827, + 3538 + ], + [ + 5932, + 7949 + ], + [ + 8353, + 11055 + ], + [ + 390, + 8526 + ], + [ + 323, + 6550 + ], + [ + 6053, + 10161 + ], + [ + 1880, + 10719 + ], + [ + 4686, + 8718 + ], + [ + 7790, + 8848 + ], + [ + 204, + 2105 + ], + [ + 2096, + 11283 + ], + [ + 46, + 10564 + ], + [ + 877, + 10492 + ], + [ + 2465, + 4175 + ], + [ + 2936, + 6012 + ], + [ + 1561, + 4708 + ], + [ + 2366, + 9831 + ], + [ + 3852, + 4735 + ], + [ + 5567, + 8359 + ], + [ + 811, + 6839 + ], + [ + 3669, + 5782 + ], + [ + 7215, + 8509 + ], + [ + 276, + 8932 + ], + [ + 2141, + 7619 + ], + [ + 5258, + 7954 + ], + [ + 2517, + 10350 + ], + [ + 1765, + 1855 + ], + [ + 1419, + 7634 + ], + [ + 7387, + 9905 + ], + [ + 1876, + 9041 + ], + [ + 8543, + 9593 + ], + [ + 1070, + 10863 + ], + [ + 3752, + 4854 + ], + [ + 1412, + 3430 + ], + [ + 3065, + 10340 + ], + [ + 1532, + 8450 + ], + [ + 916, + 3980 + ], + [ + 1251, + 5956 + ], + [ + 7484, + 10188 + ], + [ + 4736, + 11413 + ], + [ + 2613, + 5520 + ], + [ + 6076, + 6492 + ], + [ + 7103, + 10496 + ], + [ + 3545, + 6254 + ], + [ + 6939, + 9341 + ], + [ + 2766, + 9899 + ], + [ + 5037, + 9274 + ], + [ + 2485, + 9657 + ], + [ + 8834, + 9368 + ], + [ + 489, + 5791 + ], + [ + 244, + 10124 + ], + [ + 2026, + 8554 + ], + [ + 4414, + 9268 + ], + [ + 3597, + 6794 + ], + [ + 6339, + 7252 + ], + [ + 3345, + 11454 + ], + [ + 7832, + 10497 + ], + [ + 5526, + 5651 + ], + [ + 1233, + 8359 + ], + [ + 5560, + 10897 + ], + [ + 1561, + 2748 + ], + [ + 131, + 8153 + ], + [ + 535, + 8768 + ], + [ + 299, + 10181 + ], + [ + 1476, + 4330 + ], + [ + 9682, + 10000 + ], + [ + 4859, + 8756 + ], + [ + 8809, + 9846 + ], + [ + 9934, + 10221 + ], + [ + 3671, + 10284 + ], + [ + 6938, + 11344 + ], + [ + 3803, + 3987 + ], + [ + 1894, + 9165 + ], + [ + 3358, + 9006 + ], + [ + 4841, + 10809 + ], + [ + 3609, + 4121 + ], + [ + 894, + 2820 + ], + [ + 3129, + 6702 + ], + [ + 3887, + 5563 + ], + [ + 1394, + 1645 + ], + [ + 6221, + 8670 + ], + [ + 2262, + 10500 + ], + [ + 5350, + 5933 + ], + [ + 6337, + 9784 + ], + [ + 4028, + 8427 + ], + [ + 1641, + 11321 + ], + [ + 1753, + 5146 + ], + [ + 2472, + 4833 + ], + [ + 3308, + 5105 + ], + [ + 826, + 2477 + ], + [ + 1409, + 2303 + ], + [ + 1281, + 3057 + ], + [ + 1633, + 6892 + ], + [ + 1926, + 3761 + ], + [ + 8718, + 9677 + ], + [ + 683, + 4828 + ], + [ + 1676, + 3586 + ], + [ + 2020, + 3396 + ], + [ + 2465, + 8176 + ], + [ + 1708, + 8005 + ], + [ + 4326, + 10871 + ], + [ + 8340, + 9502 + ], + [ + 2834, + 8982 + ], + [ + 9264, + 9621 + ], + [ + 6096, + 6288 + ], + [ + 7565, + 10637 + ], + [ + 3136, + 9320 + ], + [ + 1513, + 8668 + ], + [ + 6370, + 7988 + ], + [ + 11473, + 11501 + ], + [ + 10600, + 11347 + ], + [ + 5784, + 7864 + ], + [ + 3714, + 5769 + ], + [ + 8147, + 10211 + ], + [ + 1256, + 3535 + ], + [ + 1106, + 6974 + ], + [ + 2720, + 7540 + ], + [ + 944, + 8898 + ], + [ + 3251, + 7930 + ], + [ + 4653, + 10303 + ], + [ + 4997, + 10867 + ], + [ + 658, + 6060 + ], + [ + 107, + 1985 + ], + [ + 7008, + 10877 + ], + [ + 4551, + 5862 + ], + [ + 1339, + 2257 + ], + [ + 2746, + 5728 + ], + [ + 1810, + 8258 + ], + [ + 251, + 7399 + ], + [ + 1994, + 10819 + ], + [ + 130, + 9324 + ], + [ + 6539, + 9086 + ], + [ + 1341, + 8719 + ], + [ + 6503, + 7177 + ], + [ + 2520, + 3695 + ], + [ + 6506, + 6694 + ], + [ + 1838, + 3109 + ], + [ + 4412, + 6457 + ], + [ + 8926, + 9575 + ], + [ + 4297, + 5164 + ], + [ + 2867, + 10569 + ], + [ + 4479, + 11062 + ], + [ + 28, + 6014 + ], + [ + 2918, + 7124 + ], + [ + 3164, + 4147 + ], + [ + 2293, + 7072 + ], + [ + 1854, + 10408 + ], + [ + 2974, + 8187 + ], + [ + 8206, + 9636 + ], + [ + 2204, + 11164 + ], + [ + 3909, + 7684 + ], + [ + 681, + 3546 + ], + [ + 8728, + 11438 + ], + [ + 5591, + 6664 + ], + [ + 2974, + 11570 + ], + [ + 3960, + 8403 + ], + [ + 3304, + 6786 + ], + [ + 5991, + 7537 + ], + [ + 1559, + 6703 + ], + [ + 5764, + 9066 + ], + [ + 5545, + 9702 + ], + [ + 2565, + 3414 + ], + [ + 5455, + 10940 + ], + [ + 1343, + 5358 + ], + [ + 1719, + 8089 + ], + [ + 7531, + 9847 + ], + [ + 3329, + 11165 + ], + [ + 7807, + 8210 + ], + [ + 2824, + 3301 + ], + [ + 5483, + 9174 + ], + [ + 2274, + 9250 + ], + [ + 4976, + 11063 + ], + [ + 7216, + 11125 + ], + [ + 9210, + 11158 + ], + [ + 1679, + 4876 + ], + [ + 2921, + 10000 + ], + [ + 1765, + 3896 + ], + [ + 2594, + 7161 + ], + [ + 10231, + 11183 + ], + [ + 52, + 6734 + ], + [ + 1822, + 7813 + ], + [ + 4060, + 4796 + ], + [ + 5646, + 6320 + ], + [ + 4314, + 8096 + ], + [ + 3808, + 10210 + ], + [ + 1530, + 7412 + ], + [ + 8818, + 10526 + ], + [ + 380, + 10922 + ], + [ + 4874, + 6972 + ], + [ + 5646, + 9703 + ], + [ + 1902, + 6237 + ], + [ + 3297, + 8193 + ], + [ + 3236, + 10169 + ], + [ + 774, + 5564 + ], + [ + 6071, + 11572 + ], + [ + 2279, + 5406 + ], + [ + 63, + 6492 + ], + [ + 472, + 10861 + ], + [ + 3144, + 10580 + ], + [ + 159, + 6200 + ], + [ + 5945, + 6737 + ], + [ + 5191, + 11001 + ], + [ + 8776, + 10650 + ], + [ + 4041, + 5843 + ], + [ + 7750, + 10254 + ], + [ + 1797, + 2629 + ], + [ + 675, + 1771 + ], + [ + 3665, + 6495 + ], + [ + 4138, + 9159 + ], + [ + 4938, + 7522 + ], + [ + 4597, + 7229 + ], + [ + 1890, + 8455 + ], + [ + 88, + 7838 + ], + [ + 1583, + 6992 + ], + [ + 4713, + 8343 + ], + [ + 4749, + 8000 + ], + [ + 5520, + 10129 + ], + [ + 5144, + 10781 + ], + [ + 6460, + 7718 + ], + [ + 5993, + 9006 + ], + [ + 1, + 1453 + ], + [ + 3524, + 9646 + ], + [ + 5451, + 8457 + ], + [ + 5820, + 10017 + ], + [ + 9223, + 10938 + ], + [ + 6914, + 8827 + ], + [ + 407, + 6278 + ], + [ + 503, + 5986 + ], + [ + 4179, + 8005 + ], + [ + 2299, + 2624 + ], + [ + 7252, + 8822 + ], + [ + 2646, + 6115 + ], + [ + 7135, + 7483 + ], + [ + 7726, + 7924 + ], + [ + 1918, + 2932 + ], + [ + 9214, + 10071 + ], + [ + 6468, + 7959 + ], + [ + 3290, + 9600 + ], + [ + 5850, + 9078 + ], + [ + 7776, + 10670 + ], + [ + 2454, + 6295 + ], + [ + 4725, + 5670 + ], + [ + 2853, + 4314 + ], + [ + 2010, + 2871 + ], + [ + 4788, + 9402 + ], + [ + 3787, + 7373 + ], + [ + 2352, + 6018 + ], + [ + 4437, + 8421 + ], + [ + 3353, + 4637 + ], + [ + 3561, + 4586 + ], + [ + 2344, + 5376 + ], + [ + 7868, + 10609 + ], + [ + 1134, + 8835 + ], + [ + 1970, + 9107 + ], + [ + 6046, + 8616 + ], + [ + 6732, + 11573 + ], + [ + 4314, + 6486 + ], + [ + 3989, + 4474 + ], + [ + 4265, + 10007 + ], + [ + 3210, + 10371 + ], + [ + 1121, + 4062 + ], + [ + 7070, + 8535 + ], + [ + 5826, + 6748 + ], + [ + 2015, + 8476 + ], + [ + 991, + 8153 + ], + [ + 4356, + 8590 + ], + [ + 5199, + 10033 + ], + [ + 6123, + 10152 + ], + [ + 242, + 6345 + ], + [ + 2609, + 5428 + ], + [ + 5716, + 11491 + ], + [ + 9026, + 9969 + ], + [ + 6531, + 10886 + ], + [ + 8520, + 11329 + ], + [ + 1385, + 5047 + ], + [ + 961, + 9415 + ], + [ + 4975, + 11456 + ], + [ + 3624, + 4884 + ], + [ + 3170, + 10541 + ], + [ + 701, + 11181 + ], + [ + 5961, + 6010 + ], + [ + 3065, + 6583 + ], + [ + 1969, + 11110 + ], + [ + 6482, + 11374 + ], + [ + 4522, + 9417 + ], + [ + 4969, + 10860 + ], + [ + 203, + 10904 + ], + [ + 2930, + 3914 + ], + [ + 1099, + 8975 + ], + [ + 9557, + 11483 + ], + [ + 6858, + 10318 + ], + [ + 6820, + 9834 + ], + [ + 445, + 7404 + ], + [ + 787, + 10551 + ], + [ + 6036, + 6719 + ], + [ + 7102, + 9897 + ], + [ + 3740, + 9731 + ], + [ + 8391, + 11457 + ], + [ + 3611, + 7631 + ], + [ + 7618, + 8501 + ], + [ + 4378, + 9264 + ], + [ + 1329, + 7343 + ], + [ + 7898, + 11524 + ], + [ + 1394, + 8492 + ], + [ + 1605, + 6460 + ], + [ + 612, + 1286 + ], + [ + 3129, + 4100 + ], + [ + 1890, + 2657 + ], + [ + 5488, + 5574 + ], + [ + 7141, + 8320 + ], + [ + 1389, + 4361 + ], + [ + 2113, + 10808 + ], + [ + 3381, + 10737 + ], + [ + 1752, + 9139 + ], + [ + 8572, + 9933 + ], + [ + 2264, + 4561 + ], + [ + 4530, + 10008 + ], + [ + 3821, + 4593 + ], + [ + 2004, + 9360 + ], + [ + 3740, + 5193 + ], + [ + 4249, + 7514 + ], + [ + 264, + 7369 + ], + [ + 2649, + 3648 + ], + [ + 5080, + 7442 + ], + [ + 2874, + 6210 + ], + [ + 4274, + 8510 + ], + [ + 9786, + 10730 + ], + [ + 1073, + 2785 + ], + [ + 7258, + 9255 + ], + [ + 6076, + 8346 + ], + [ + 6330, + 10148 + ], + [ + 3928, + 11256 + ], + [ + 432, + 1476 + ], + [ + 1061, + 4653 + ], + [ + 8305, + 10878 + ], + [ + 10242, + 11131 + ], + [ + 1830, + 4834 + ], + [ + 1296, + 10562 + ], + [ + 4652, + 6749 + ], + [ + 7929, + 9251 + ], + [ + 9376, + 11397 + ], + [ + 1659, + 11553 + ], + [ + 10657, + 11531 + ], + [ + 6703, + 7289 + ], + [ + 3633, + 10907 + ], + [ + 10438, + 10669 + ], + [ + 1627, + 6353 + ], + [ + 1107, + 3843 + ], + [ + 412, + 9468 + ], + [ + 417, + 3396 + ], + [ + 2557, + 10424 + ], + [ + 4270, + 10969 + ], + [ + 4865, + 8146 + ], + [ + 10439, + 10490 + ], + [ + 105, + 11388 + ], + [ + 4178, + 4964 + ], + [ + 1903, + 8099 + ], + [ + 2457, + 9439 + ], + [ + 781, + 7995 + ], + [ + 4074, + 10276 + ], + [ + 4048, + 9055 + ], + [ + 11050, + 11583 + ], + [ + 8068, + 10884 + ], + [ + 4823, + 11303 + ], + [ + 2115, + 3259 + ], + [ + 7469, + 9801 + ], + [ + 67, + 5619 + ], + [ + 3484, + 10410 + ], + [ + 4198, + 8999 + ], + [ + 3969, + 9701 + ], + [ + 956, + 9689 + ], + [ + 987, + 2586 + ], + [ + 7019, + 8060 + ], + [ + 9768, + 10443 + ], + [ + 3541, + 10163 + ], + [ + 793, + 11388 + ], + [ + 2348, + 8341 + ], + [ + 9137, + 10576 + ], + [ + 2234, + 7273 + ], + [ + 4911, + 7336 + ], + [ + 3003, + 6323 + ], + [ + 6086, + 11238 + ], + [ + 5458, + 7505 + ], + [ + 3911, + 5909 + ], + [ + 1043, + 2114 + ], + [ + 382, + 6569 + ], + [ + 506, + 2663 + ], + [ + 43, + 687 + ], + [ + 4772, + 7931 + ], + [ + 4020, + 5852 + ], + [ + 2427, + 3911 + ], + [ + 1716, + 4085 + ], + [ + 752, + 4567 + ], + [ + 6822, + 11279 + ], + [ + 690, + 1437 + ], + [ + 8809, + 10895 + ], + [ + 3112, + 7397 + ], + [ + 2365, + 5662 + ], + [ + 1902, + 4440 + ], + [ + 4577, + 10092 + ], + [ + 1370, + 6831 + ], + [ + 1991, + 3731 + ], + [ + 2015, + 8289 + ], + [ + 4101, + 7130 + ], + [ + 4543, + 8229 + ], + [ + 5941, + 7450 + ], + [ + 6873, + 8184 + ], + [ + 3545, + 6848 + ], + [ + 3468, + 4184 + ], + [ + 2855, + 5647 + ], + [ + 49, + 3484 + ], + [ + 2327, + 3276 + ], + [ + 9262, + 10998 + ], + [ + 5315, + 7927 + ], + [ + 652, + 11102 + ], + [ + 5311, + 10437 + ], + [ + 8855, + 10839 + ], + [ + 9142, + 10115 + ], + [ + 2496, + 4024 + ], + [ + 4247, + 7305 + ], + [ + 3192, + 6171 + ], + [ + 358, + 7622 + ], + [ + 45, + 2961 + ], + [ + 6977, + 11166 + ], + [ + 6672, + 10530 + ], + [ + 946, + 1376 + ], + [ + 5114, + 10273 + ], + [ + 417, + 1786 + ], + [ + 3085, + 10431 + ], + [ + 7658, + 10746 + ], + [ + 3893, + 7157 + ], + [ + 1546, + 8726 + ], + [ + 3849, + 6104 + ], + [ + 1767, + 3218 + ], + [ + 4943, + 11330 + ], + [ + 3549, + 5812 + ], + [ + 1053, + 8012 + ], + [ + 2794, + 4189 + ], + [ + 8585, + 11486 + ], + [ + 1608, + 5790 + ], + [ + 18, + 7530 + ], + [ + 491, + 3024 + ], + [ + 3590, + 5062 + ], + [ + 4219, + 5233 + ], + [ + 2194, + 2881 + ], + [ + 513, + 1093 + ], + [ + 4709, + 11284 + ], + [ + 5765, + 7358 + ], + [ + 6771, + 10485 + ], + [ + 107, + 9450 + ], + [ + 2598, + 6879 + ], + [ + 4488, + 6562 + ], + [ + 1150, + 10200 + ], + [ + 2277, + 4986 + ], + [ + 1810, + 6274 + ], + [ + 2395, + 2763 + ], + [ + 1402, + 4759 + ], + [ + 2732, + 5566 + ], + [ + 1121, + 8681 + ], + [ + 307, + 6478 + ], + [ + 5528, + 7014 + ], + [ + 1711, + 8897 + ], + [ + 5286, + 10864 + ], + [ + 1523, + 9600 + ], + [ + 2113, + 6433 + ], + [ + 7271, + 9653 + ], + [ + 857, + 7295 + ], + [ + 206, + 6022 + ], + [ + 1820, + 2424 + ], + [ + 3972, + 6803 + ], + [ + 6093, + 8863 + ], + [ + 7984, + 8771 + ], + [ + 8075, + 8135 + ], + [ + 1375, + 5191 + ], + [ + 943, + 5534 + ], + [ + 946, + 9215 + ], + [ + 1034, + 5652 + ], + [ + 686, + 8352 + ], + [ + 2993, + 9636 + ], + [ + 4897, + 6743 + ], + [ + 5513, + 5551 + ], + [ + 7047, + 8043 + ], + [ + 220, + 6078 + ], + [ + 2535, + 11387 + ], + [ + 7468, + 9793 + ], + [ + 10704, + 11540 + ], + [ + 7505, + 8894 + ], + [ + 2452, + 8908 + ], + [ + 8064, + 10578 + ], + [ + 4272, + 4412 + ], + [ + 8191, + 9599 + ], + [ + 4576, + 11239 + ], + [ + 10604, + 11309 + ], + [ + 1354, + 10329 + ], + [ + 5409, + 8961 + ], + [ + 3100, + 6850 + ], + [ + 9729, + 11082 + ], + [ + 4104, + 9150 + ], + [ + 4412, + 7051 + ], + [ + 2170, + 6162 + ], + [ + 1010, + 8984 + ], + [ + 1149, + 6110 + ], + [ + 5965, + 9593 + ], + [ + 5461, + 8370 + ], + [ + 1202, + 9154 + ], + [ + 6116, + 9762 + ], + [ + 7668, + 9450 + ], + [ + 5269, + 11583 + ], + [ + 2385, + 7255 + ], + [ + 5360, + 10947 + ], + [ + 1700, + 7152 + ], + [ + 11342, + 11396 + ], + [ + 5148, + 6338 + ], + [ + 3180, + 5274 + ], + [ + 5803, + 8484 + ], + [ + 8251, + 9249 + ], + [ + 474, + 2938 + ], + [ + 5730, + 8945 + ], + [ + 1382, + 4776 + ], + [ + 436, + 6618 + ], + [ + 1026, + 3451 + ], + [ + 260, + 8836 + ], + [ + 3116, + 11116 + ], + [ + 10994, + 11063 + ], + [ + 4294, + 8119 + ], + [ + 6565, + 9746 + ], + [ + 7535, + 10210 + ], + [ + 3017, + 3940 + ], + [ + 1581, + 11028 + ], + [ + 2395, + 4536 + ], + [ + 400, + 10694 + ], + [ + 3287, + 8123 + ], + [ + 6733, + 11400 + ], + [ + 3567, + 8140 + ], + [ + 4305, + 7877 + ], + [ + 1326, + 10859 + ], + [ + 47, + 3601 + ], + [ + 5859, + 7611 + ], + [ + 984, + 10341 + ], + [ + 912, + 8775 + ], + [ + 700, + 10582 + ], + [ + 2125, + 4833 + ], + [ + 4365, + 9059 + ], + [ + 3219, + 3643 + ], + [ + 6763, + 9707 + ], + [ + 223, + 11182 + ], + [ + 5168, + 6939 + ], + [ + 9130, + 9544 + ], + [ + 3242, + 8730 + ], + [ + 4016, + 8124 + ], + [ + 1533, + 4140 + ], + [ + 5299, + 9085 + ], + [ + 3396, + 6164 + ], + [ + 3573, + 6800 + ], + [ + 2487, + 6353 + ], + [ + 4703, + 6021 + ], + [ + 4050, + 10337 + ], + [ + 2636, + 9859 + ], + [ + 114, + 285 + ], + [ + 1094, + 10859 + ], + [ + 8709, + 9672 + ], + [ + 1364, + 6024 + ], + [ + 703, + 4063 + ], + [ + 2850, + 7344 + ], + [ + 8299, + 11494 + ], + [ + 5413, + 10503 + ], + [ + 2194, + 5727 + ], + [ + 143, + 2154 + ], + [ + 3888, + 8474 + ], + [ + 3224, + 9248 + ], + [ + 309, + 9771 + ], + [ + 304, + 9427 + ], + [ + 423, + 5177 + ], + [ + 5039, + 7818 + ], + [ + 323, + 7225 + ], + [ + 2174, + 8458 + ], + [ + 8609, + 9441 + ], + [ + 1049, + 1667 + ], + [ + 10137, + 10987 + ], + [ + 3193, + 7683 + ], + [ + 5097, + 5544 + ], + [ + 6776, + 7259 + ], + [ + 3722, + 4240 + ], + [ + 6994, + 8650 + ], + [ + 3931, + 8551 + ], + [ + 2719, + 11183 + ], + [ + 8223, + 8624 + ], + [ + 131, + 7405 + ], + [ + 3455, + 5589 + ], + [ + 9091, + 11063 + ], + [ + 1433, + 2754 + ], + [ + 2188, + 8514 + ], + [ + 4961, + 9039 + ], + [ + 6943, + 7557 + ], + [ + 7168, + 10119 + ], + [ + 7096, + 8553 + ], + [ + 6756, + 11114 + ], + [ + 9208, + 9369 + ], + [ + 6534, + 6571 + ], + [ + 3726, + 6991 + ], + [ + 1233, + 3073 + ], + [ + 7099, + 11453 + ], + [ + 1210, + 1369 + ], + [ + 4762, + 11458 + ], + [ + 4846, + 10405 + ], + [ + 7891, + 9174 + ], + [ + 2606, + 9562 + ], + [ + 6897, + 10945 + ], + [ + 674, + 1739 + ], + [ + 2871, + 4383 + ], + [ + 942, + 2493 + ], + [ + 3159, + 11431 + ], + [ + 7329, + 9821 + ], + [ + 8633, + 10161 + ], + [ + 9094, + 10556 + ], + [ + 2680, + 4034 + ], + [ + 1382, + 5394 + ], + [ + 8622, + 11500 + ], + [ + 3309, + 4959 + ], + [ + 9726, + 10998 + ], + [ + 5237, + 9630 + ], + [ + 2718, + 10907 + ], + [ + 10215, + 11162 + ], + [ + 3895, + 7685 + ], + [ + 3606, + 7582 + ], + [ + 1520, + 11343 + ], + [ + 954, + 6236 + ], + [ + 3906, + 8224 + ], + [ + 8541, + 9417 + ], + [ + 2080, + 3049 + ], + [ + 4150, + 4420 + ], + [ + 2907, + 5487 + ], + [ + 4094, + 10904 + ], + [ + 290, + 9639 + ], + [ + 6676, + 8451 + ], + [ + 984, + 10959 + ], + [ + 6736, + 8502 + ], + [ + 3286, + 5483 + ], + [ + 2868, + 9696 + ], + [ + 1096, + 5538 + ], + [ + 5731, + 6731 + ], + [ + 3396, + 9815 + ], + [ + 636, + 827 + ], + [ + 5670, + 8707 + ], + [ + 42, + 3094 + ], + [ + 2688, + 8008 + ], + [ + 4453, + 8743 + ], + [ + 2429, + 2829 + ], + [ + 340, + 3690 + ], + [ + 7347, + 10726 + ], + [ + 4083, + 6931 + ], + [ + 4205, + 7860 + ], + [ + 461, + 5148 + ], + [ + 4201, + 4708 + ], + [ + 6869, + 6937 + ], + [ + 4940, + 11463 + ], + [ + 8615, + 9874 + ], + [ + 5721, + 11274 + ], + [ + 8297, + 11285 + ], + [ + 2168, + 7376 + ], + [ + 2794, + 11036 + ], + [ + 461, + 8531 + ], + [ + 5991, + 6439 + ], + [ + 3035, + 6961 + ], + [ + 1796, + 5518 + ], + [ + 3936, + 6130 + ], + [ + 2793, + 10811 + ], + [ + 6583, + 7482 + ], + [ + 1013, + 6011 + ], + [ + 1223, + 2623 + ], + [ + 300, + 10276 + ], + [ + 7819, + 8627 + ], + [ + 5332, + 7907 + ], + [ + 1632, + 11129 + ], + [ + 4268, + 11191 + ], + [ + 6260, + 11151 + ], + [ + 350, + 6606 + ], + [ + 4169, + 8179 + ], + [ + 4105, + 6474 + ], + [ + 225, + 4625 + ], + [ + 1894, + 5652 + ], + [ + 6718, + 8996 + ], + [ + 118, + 10420 + ], + [ + 1582, + 10261 + ], + [ + 1207, + 4722 + ], + [ + 3886, + 5612 + ], + [ + 6250, + 7430 + ], + [ + 1429, + 7013 + ], + [ + 6067, + 7723 + ], + [ + 1057, + 7407 + ], + [ + 5967, + 10525 + ], + [ + 5669, + 11060 + ], + [ + 6497, + 7307 + ], + [ + 991, + 6787 + ], + [ + 6259, + 8647 + ], + [ + 7276, + 11209 + ], + [ + 1207, + 8105 + ], + [ + 7334, + 8181 + ], + [ + 5534, + 8391 + ], + [ + 2081, + 2445 + ], + [ + 1370, + 2619 + ], + [ + 525, + 5267 + ], + [ + 3195, + 10575 + ], + [ + 2887, + 10422 + ], + [ + 6151, + 10053 + ], + [ + 4473, + 11192 + ], + [ + 8981, + 11112 + ], + [ + 1672, + 7121 + ], + [ + 2257, + 10026 + ], + [ + 1770, + 3492 + ], + [ + 5524, + 6922 + ], + [ + 4197, + 9796 + ], + [ + 4524, + 5495 + ], + [ + 1824, + 10144 + ], + [ + 3968, + 7492 + ], + [ + 3878, + 10982 + ], + [ + 5081, + 6352 + ], + [ + 3279, + 9899 + ], + [ + 4550, + 10099 + ], + [ + 3526, + 4114 + ], + [ + 10458, + 11565 + ], + [ + 1989, + 4734 + ], + [ + 3389, + 7034 + ], + [ + 4149, + 6722 + ], + [ + 1473, + 9513 + ], + [ + 2361, + 9975 + ], + [ + 1406, + 1875 + ], + [ + 4920, + 5064 + ], + [ + 1654, + 4606 + ], + [ + 3910, + 9365 + ], + [ + 9183, + 10815 + ], + [ + 682, + 5227 + ], + [ + 4039, + 5049 + ], + [ + 7099, + 11266 + ], + [ + 3202, + 7558 + ], + [ + 2145, + 5597 + ], + [ + 7186, + 7478 + ], + [ + 3747, + 4648 + ], + [ + 1763, + 2297 + ], + [ + 7523, + 10281 + ], + [ + 28, + 10072 + ], + [ + 2633, + 8569 + ], + [ + 673, + 4360 + ], + [ + 1664, + 2291 + ], + [ + 7398, + 8300 + ], + [ + 3905, + 5207 + ], + [ + 5639, + 10793 + ], + [ + 2187, + 6947 + ], + [ + 2469, + 10043 + ], + [ + 1225, + 8256 + ], + [ + 1013, + 10817 + ], + [ + 3220, + 7733 + ], + [ + 138, + 9836 + ], + [ + 1442, + 10176 + ], + [ + 1368, + 7783 + ], + [ + 2646, + 8400 + ], + [ + 6383, + 8443 + ], + [ + 6603, + 10661 + ], + [ + 5799, + 8392 + ], + [ + 1098, + 9585 + ], + [ + 439, + 9949 + ], + [ + 6355, + 9778 + ], + [ + 2546, + 8169 + ], + [ + 2448, + 5382 + ], + [ + 1740, + 9991 + ], + [ + 10471, + 11345 + ], + [ + 3501, + 6820 + ], + [ + 3695, + 10069 + ], + [ + 4657, + 6508 + ], + [ + 2074, + 6080 + ], + [ + 5928, + 6708 + ], + [ + 4811, + 6194 + ], + [ + 2130, + 8641 + ], + [ + 917, + 6167 + ], + [ + 517, + 8677 + ], + [ + 2563, + 5490 + ], + [ + 4488, + 10644 + ], + [ + 8603, + 9327 + ], + [ + 3710, + 7344 + ], + [ + 5200, + 6154 + ], + [ + 1688, + 3011 + ], + [ + 631, + 8964 + ], + [ + 3616, + 7682 + ], + [ + 5460, + 11154 + ], + [ + 2712, + 5963 + ], + [ + 196, + 6757 + ], + [ + 5178, + 11441 + ], + [ + 65, + 824 + ], + [ + 1749, + 9299 + ], + [ + 8127, + 9748 + ], + [ + 1658, + 3519 + ], + [ + 1131, + 10418 + ], + [ + 3450, + 9083 + ], + [ + 4816, + 9547 + ], + [ + 3321, + 3977 + ], + [ + 4203, + 11010 + ], + [ + 1521, + 4187 + ], + [ + 4351, + 7498 + ], + [ + 10484, + 11526 + ], + [ + 524, + 2277 + ], + [ + 10482, + 10699 + ], + [ + 1826, + 8206 + ], + [ + 7767, + 7900 + ], + [ + 5437, + 11328 + ], + [ + 5129, + 11175 + ], + [ + 8432, + 10734 + ], + [ + 9146, + 9323 + ], + [ + 9294, + 9975 + ], + [ + 5025, + 10825 + ], + [ + 765, + 2339 + ], + [ + 1785, + 11588 + ], + [ + 8980, + 11505 + ], + [ + 6085, + 9270 + ], + [ + 11071, + 11444 + ], + [ + 1844, + 4998 + ], + [ + 502, + 6840 + ], + [ + 2900, + 7488 + ], + [ + 3409, + 9809 + ], + [ + 1914, + 4239 + ], + [ + 1874, + 7092 + ], + [ + 5611, + 7135 + ], + [ + 79, + 7646 + ], + [ + 5265, + 6498 + ], + [ + 6610, + 9091 + ], + [ + 4919, + 5861 + ], + [ + 1343, + 10839 + ], + [ + 1561, + 5814 + ], + [ + 7163, + 10206 + ], + [ + 1432, + 3714 + ], + [ + 1626, + 3957 + ], + [ + 2997, + 7771 + ], + [ + 2954, + 11107 + ], + [ + 6197, + 9861 + ], + [ + 1084, + 6414 + ], + [ + 3332, + 10501 + ], + [ + 586, + 5383 + ], + [ + 780, + 2216 + ], + [ + 3574, + 10034 + ], + [ + 1836, + 11122 + ], + [ + 1433, + 9951 + ], + [ + 5103, + 8018 + ], + [ + 4857, + 5333 + ], + [ + 3792, + 5009 + ], + [ + 4015, + 10908 + ], + [ + 916, + 11152 + ], + [ + 1795, + 8088 + ], + [ + 3980, + 7689 + ], + [ + 960, + 10670 + ], + [ + 3293, + 10923 + ], + [ + 3298, + 11267 + ], + [ + 421, + 10392 + ], + [ + 3229, + 6966 + ], + [ + 1511, + 5296 + ], + [ + 986, + 2442 + ], + [ + 3775, + 9916 + ], + [ + 1719, + 5999 + ], + [ + 5860, + 10067 + ], + [ + 4832, + 8844 + ], + [ + 4426, + 8156 + ], + [ + 4209, + 9619 + ], + [ + 5926, + 7654 + ], + [ + 6420, + 8943 + ], + [ + 3625, + 9568 + ], + [ + 1776, + 3500 + ], + [ + 3933, + 7469 + ], + [ + 3331, + 9121 + ], + [ + 6326, + 8527 + ], + [ + 2401, + 6154 + ], + [ + 9185, + 11455 + ], + [ + 6599, + 10756 + ], + [ + 4171, + 7233 + ], + [ + 2705, + 6565 + ], + [ + 3269, + 8593 + ], + [ + 4222, + 10204 + ], + [ + 5564, + 6110 + ], + [ + 3635, + 10636 + ], + [ + 7148, + 10971 + ], + [ + 2296, + 4825 + ], + [ + 3784, + 9978 + ], + [ + 205, + 11275 + ], + [ + 6552, + 9405 + ], + [ + 3966, + 8706 + ], + [ + 6805, + 7599 + ], + [ + 4191, + 11268 + ], + [ + 4496, + 5488 + ], + [ + 4862, + 7531 + ], + [ + 7790, + 11377 + ], + [ + 5408, + 8199 + ], + [ + 2313, + 5933 + ], + [ + 4212, + 9112 + ], + [ + 2630, + 10713 + ], + [ + 1073, + 4265 + ], + [ + 2286, + 4487 + ], + [ + 758, + 9357 + ], + [ + 4588, + 5427 + ], + [ + 1410, + 7068 + ], + [ + 3117, + 4415 + ], + [ + 5698, + 8153 + ], + [ + 8213, + 10140 + ], + [ + 2614, + 9429 + ], + [ + 2999, + 9240 + ], + [ + 10709, + 11323 + ], + [ + 8739, + 9432 + ], + [ + 1813, + 10841 + ], + [ + 7816, + 9915 + ], + [ + 2176, + 2787 + ], + [ + 6317, + 6855 + ], + [ + 6812, + 10998 + ], + [ + 3034, + 4538 + ], + [ + 5497, + 10499 + ], + [ + 8330, + 11075 + ], + [ + 675, + 6447 + ], + [ + 3584, + 5355 + ], + [ + 2451, + 11478 + ], + [ + 5061, + 10319 + ], + [ + 452, + 1679 + ], + [ + 985, + 4394 + ], + [ + 4118, + 5262 + ], + [ + 2215, + 8003 + ], + [ + 3803, + 10354 + ], + [ + 3407, + 9600 + ], + [ + 2536, + 11027 + ], + [ + 7944, + 8006 + ], + [ + 4766, + 9647 + ], + [ + 915, + 2120 + ], + [ + 1942, + 6124 + ], + [ + 6908, + 6922 + ], + [ + 5113, + 7476 + ], + [ + 6231, + 6680 + ], + [ + 3455, + 10021 + ], + [ + 1252, + 9060 + ], + [ + 6632, + 10407 + ], + [ + 6878, + 7430 + ], + [ + 8999, + 9490 + ], + [ + 5637, + 9324 + ], + [ + 1678, + 10400 + ], + [ + 2650, + 8281 + ], + [ + 3944, + 9431 + ], + [ + 269, + 4604 + ], + [ + 3357, + 5699 + ], + [ + 4014, + 8672 + ], + [ + 934, + 6684 + ], + [ + 3611, + 7501 + ], + [ + 2910, + 8393 + ], + [ + 6626, + 6805 + ], + [ + 3999, + 6105 + ], + [ + 638, + 8793 + ], + [ + 1147, + 4698 + ], + [ + 1598, + 5159 + ], + [ + 3597, + 6290 + ], + [ + 7585, + 9362 + ], + [ + 3070, + 9025 + ], + [ + 9541, + 9665 + ], + [ + 5458, + 8985 + ], + [ + 334, + 5349 + ], + [ + 7832, + 9993 + ], + [ + 1665, + 9764 + ], + [ + 271, + 10662 + ], + [ + 636, + 2681 + ], + [ + 9813, + 11292 + ], + [ + 9128, + 11189 + ], + [ + 10005, + 11462 + ], + [ + 3305, + 8518 + ], + [ + 2515, + 4457 + ], + [ + 1716, + 2532 + ], + [ + 1241, + 10375 + ], + [ + 8744, + 11199 + ], + [ + 6250, + 7056 + ], + [ + 7691, + 9357 + ], + [ + 7066, + 9305 + ], + [ + 901, + 9903 + ], + [ + 11078, + 11273 + ], + [ + 2926, + 5839 + ], + [ + 2761, + 4082 + ], + [ + 10825, + 10827 + ], + [ + 247, + 4949 + ], + [ + 10596, + 11529 + ], + [ + 3789, + 8688 + ], + [ + 3916, + 9961 + ], + [ + 10356, + 11288 + ], + [ + 3589, + 7122 + ], + [ + 5489, + 7493 + ], + [ + 2249, + 8256 + ], + [ + 421, + 7172 + ], + [ + 7167, + 9737 + ], + [ + 541, + 5022 + ], + [ + 758, + 3559 + ], + [ + 2678, + 8369 + ], + [ + 1906, + 9021 + ], + [ + 7940, + 8906 + ], + [ + 125, + 2865 + ], + [ + 226, + 9333 + ], + [ + 4827, + 5280 + ], + [ + 2298, + 5115 + ], + [ + 5532, + 6789 + ], + [ + 10550, + 11130 + ], + [ + 2122, + 6552 + ], + [ + 7058, + 10891 + ], + [ + 8633, + 9250 + ], + [ + 1143, + 2969 + ], + [ + 862, + 6891 + ], + [ + 2374, + 9432 + ], + [ + 9134, + 10175 + ], + [ + 8225, + 11118 + ], + [ + 6637, + 8767 + ], + [ + 2540, + 8381 + ], + [ + 8199, + 9897 + ], + [ + 2691, + 8550 + ], + [ + 1385, + 5885 + ], + [ + 4339, + 10952 + ], + [ + 7737, + 11529 + ], + [ + 1003, + 2585 + ], + [ + 2375, + 10007 + ], + [ + 4245, + 8284 + ], + [ + 3994, + 4501 + ], + [ + 5425, + 8366 + ], + [ + 5260, + 10773 + ], + [ + 6698, + 9393 + ], + [ + 4358, + 5717 + ], + [ + 691, + 11331 + ], + [ + 2926, + 10295 + ], + [ + 3019, + 7076 + ], + [ + 9830, + 10036 + ], + [ + 6721, + 8064 + ], + [ + 1495, + 5649 + ], + [ + 5497, + 6929 + ], + [ + 27, + 1902 + ], + [ + 3946, + 10095 + ], + [ + 6683, + 8711 + ], + [ + 5411, + 11292 + ], + [ + 2264, + 8082 + ], + [ + 543, + 6141 + ], + [ + 7549, + 10323 + ], + [ + 1021, + 6897 + ], + [ + 3070, + 9643 + ], + [ + 3627, + 8248 + ], + [ + 6146, + 7725 + ], + [ + 6710, + 9753 + ], + [ + 5583, + 8551 + ], + [ + 1046, + 2231 + ], + [ + 4591, + 11149 + ], + [ + 1224, + 6475 + ], + [ + 4341, + 4558 + ], + [ + 6770, + 6771 + ], + [ + 1743, + 2344 + ], + [ + 2685, + 10182 + ], + [ + 3273, + 10352 + ], + [ + 10528, + 11074 + ], + [ + 7966, + 8517 + ], + [ + 1053, + 1116 + ], + [ + 2795, + 10727 + ], + [ + 558, + 10936 + ], + [ + 6189, + 9650 + ], + [ + 11318, + 11378 + ], + [ + 6665, + 9579 + ], + [ + 7522, + 8476 + ], + [ + 2635, + 5527 + ], + [ + 4870, + 9409 + ], + [ + 5229, + 11005 + ], + [ + 7459, + 9625 + ], + [ + 609, + 10120 + ], + [ + 4434, + 5846 + ], + [ + 6247, + 10005 + ], + [ + 415, + 455 + ], + [ + 6517, + 11586 + ], + [ + 856, + 9997 + ], + [ + 512, + 10187 + ], + [ + 2406, + 3196 + ], + [ + 4708, + 8300 + ], + [ + 1343, + 7082 + ], + [ + 7915, + 8528 + ], + [ + 1943, + 2351 + ], + [ + 5024, + 9445 + ], + [ + 630, + 4931 + ], + [ + 631, + 7785 + ], + [ + 6758, + 8615 + ], + [ + 8726, + 10433 + ], + [ + 5894, + 6295 + ], + [ + 7472, + 7958 + ], + [ + 2057, + 9054 + ], + [ + 2582, + 5492 + ], + [ + 2093, + 9465 + ], + [ + 70, + 10192 + ], + [ + 3741, + 4697 + ], + [ + 9317, + 10874 + ], + [ + 1440, + 7365 + ], + [ + 8398, + 10375 + ], + [ + 344, + 5476 + ], + [ + 8468, + 8862 + ], + [ + 374, + 7570 + ], + [ + 2014, + 2941 + ], + [ + 5539, + 5545 + ], + [ + 2388, + 11261 + ], + [ + 5000, + 10929 + ], + [ + 2756, + 3551 + ], + [ + 6747, + 11058 + ], + [ + 1797, + 8541 + ], + [ + 496, + 5466 + ], + [ + 1427, + 2592 + ], + [ + 711, + 7340 + ], + [ + 554, + 3192 + ], + [ + 1168, + 4583 + ], + [ + 5213, + 8943 + ], + [ + 3253, + 6986 + ], + [ + 3537, + 6745 + ], + [ + 9949, + 10188 + ], + [ + 3032, + 5297 + ], + [ + 1693, + 10820 + ], + [ + 5024, + 5257 + ], + [ + 2032, + 3870 + ], + [ + 5089, + 10570 + ], + [ + 4671, + 7613 + ], + [ + 1684, + 6570 + ], + [ + 846, + 5471 + ], + [ + 7568, + 9894 + ], + [ + 5613, + 9035 + ], + [ + 10315, + 11450 + ], + [ + 1310, + 3885 + ], + [ + 3240, + 9383 + ], + [ + 2120, + 2936 + ], + [ + 1161, + 10178 + ], + [ + 4863, + 11166 + ], + [ + 6468, + 10488 + ], + [ + 6569, + 10540 + ], + [ + 5253, + 7187 + ], + [ + 525, + 3551 + ], + [ + 1280, + 2141 + ], + [ + 3107, + 6760 + ], + [ + 4289, + 7669 + ], + [ + 622, + 6867 + ], + [ + 2045, + 3701 + ], + [ + 1303, + 9480 + ], + [ + 7158, + 7902 + ], + [ + 2268, + 9573 + ], + [ + 3564, + 5134 + ], + [ + 6399, + 6537 + ], + [ + 10158, + 10311 + ], + [ + 787, + 10502 + ], + [ + 145, + 7063 + ], + [ + 1217, + 10086 + ], + [ + 4641, + 4714 + ], + [ + 2841, + 11340 + ], + [ + 7321, + 11464 + ], + [ + 1530, + 1915 + ], + [ + 3926, + 8906 + ], + [ + 5708, + 11500 + ], + [ + 6735, + 8334 + ], + [ + 885, + 4594 + ], + [ + 3614, + 4847 + ], + [ + 7039, + 9499 + ], + [ + 3460, + 4380 + ], + [ + 3138, + 8301 + ], + [ + 3702, + 10329 + ], + [ + 6940, + 8739 + ], + [ + 4540, + 7264 + ], + [ + 2406, + 8352 + ], + [ + 617, + 1581 + ], + [ + 3297, + 6079 + ], + [ + 6031, + 6676 + ], + [ + 810, + 5359 + ], + [ + 1178, + 9727 + ], + [ + 1917, + 3650 + ], + [ + 7271, + 10946 + ], + [ + 2830, + 10750 + ], + [ + 76, + 1607 + ], + [ + 5122, + 10248 + ], + [ + 6035, + 6768 + ], + [ + 2599, + 7619 + ], + [ + 6647, + 11496 + ], + [ + 768, + 2100 + ], + [ + 2660, + 4862 + ], + [ + 2878, + 10417 + ], + [ + 5263, + 6696 + ], + [ + 8480, + 10645 + ], + [ + 1699, + 2609 + ], + [ + 10477, + 10949 + ], + [ + 7473, + 8047 + ], + [ + 353, + 545 + ], + [ + 358, + 889 + ], + [ + 1459, + 2398 + ], + [ + 5364, + 10885 + ], + [ + 5481, + 11470 + ], + [ + 722, + 8521 + ], + [ + 2191, + 6454 + ], + [ + 4582, + 10095 + ], + [ + 3233, + 10766 + ], + [ + 2708, + 7912 + ], + [ + 7415, + 11425 + ], + [ + 9032, + 11508 + ], + [ + 1675, + 6345 + ], + [ + 718, + 7998 + ], + [ + 2337, + 9662 + ], + [ + 6788, + 8294 + ], + [ + 5721, + 7143 + ], + [ + 7331, + 10973 + ], + [ + 3733, + 8056 + ], + [ + 6305, + 10577 + ], + [ + 4039, + 9294 + ], + [ + 8491, + 11534 + ], + [ + 4372, + 4781 + ], + [ + 3723, + 10751 + ], + [ + 6149, + 7031 + ], + [ + 1815, + 2568 + ], + [ + 7984, + 9259 + ], + [ + 1196, + 10632 + ], + [ + 2844, + 6618 + ], + [ + 4406, + 6994 + ], + [ + 7885, + 8499 + ], + [ + 982, + 5950 + ], + [ + 2907, + 3934 + ], + [ + 383, + 4867 + ], + [ + 1291, + 6705 + ], + [ + 5080, + 6938 + ], + [ + 171, + 258 + ], + [ + 2380, + 5171 + ], + [ + 314, + 566 + ], + [ + 4895, + 4906 + ], + [ + 1025, + 5273 + ], + [ + 5355, + 5830 + ], + [ + 5611, + 9957 + ], + [ + 2309, + 3426 + ], + [ + 3326, + 5988 + ], + [ + 2522, + 10889 + ], + [ + 6624, + 9367 + ], + [ + 2116, + 3031 + ], + [ + 4946, + 10506 + ], + [ + 6725, + 9419 + ], + [ + 3444, + 3765 + ], + [ + 4696, + 10331 + ], + [ + 3261, + 4812 + ], + [ + 6910, + 8418 + ], + [ + 2579, + 8390 + ], + [ + 83, + 3420 + ], + [ + 3596, + 3755 + ], + [ + 213, + 9128 + ], + [ + 920, + 10710 + ], + [ + 426, + 10175 + ], + [ + 3654, + 7897 + ], + [ + 1259, + 4514 + ], + [ + 2234, + 7574 + ], + [ + 1313, + 10412 + ], + [ + 506, + 9380 + ], + [ + 2036, + 10972 + ], + [ + 1255, + 3991 + ], + [ + 760, + 9647 + ], + [ + 3855, + 4746 + ], + [ + 118, + 2451 + ], + [ + 2083, + 9633 + ], + [ + 917, + 2841 + ], + [ + 449, + 1275 + ], + [ + 3776, + 8802 + ], + [ + 197, + 10099 + ], + [ + 1814, + 4520 + ], + [ + 2261, + 5963 + ], + [ + 1788, + 3299 + ], + [ + 396, + 860 + ], + [ + 5965, + 9276 + ], + [ + 2068, + 5568 + ], + [ + 3909, + 10994 + ], + [ + 1626, + 7852 + ], + [ + 6295, + 8629 + ], + [ + 908, + 5357 + ], + [ + 885, + 10823 + ], + [ + 2593, + 11024 + ], + [ + 10148, + 11284 + ], + [ + 5301, + 10400 + ], + [ + 602, + 7502 + ], + [ + 31, + 2051 + ], + [ + 2267, + 4623 + ], + [ + 2678, + 4157 + ], + [ + 2925, + 10450 + ], + [ + 2273, + 6323 + ], + [ + 4143, + 6852 + ], + [ + 1894, + 9710 + ], + [ + 4602, + 4922 + ], + [ + 1819, + 7092 + ], + [ + 4444, + 11129 + ], + [ + 9234, + 9981 + ], + [ + 8148, + 11032 + ], + [ + 1742, + 8535 + ], + [ + 6021, + 8403 + ], + [ + 4037, + 6052 + ], + [ + 6251, + 11309 + ], + [ + 797, + 6815 + ], + [ + 4004, + 10076 + ], + [ + 3772, + 4845 + ], + [ + 3467, + 10625 + ], + [ + 1977, + 5399 + ], + [ + 1747, + 2493 + ], + [ + 3131, + 10676 + ], + [ + 5187, + 8177 + ], + [ + 5, + 6091 + ], + [ + 1188, + 10608 + ], + [ + 5678, + 8414 + ], + [ + 2156, + 3829 + ], + [ + 1316, + 9073 + ], + [ + 4122, + 4820 + ], + [ + 2900, + 10928 + ], + [ + 5921, + 11555 + ], + [ + 5513, + 10040 + ], + [ + 5487, + 8819 + ], + [ + 4852, + 7325 + ], + [ + 688, + 5717 + ], + [ + 2574, + 5281 + ], + [ + 5724, + 8008 + ], + [ + 710, + 10202 + ], + [ + 4237, + 6463 + ], + [ + 2764, + 11040 + ], + [ + 9264, + 10166 + ], + [ + 4596, + 6581 + ], + [ + 4697, + 7387 + ], + [ + 5380, + 10827 + ], + [ + 3888, + 11190 + ], + [ + 2073, + 10368 + ], + [ + 5186, + 7551 + ], + [ + 3498, + 8002 + ], + [ + 4599, + 7983 + ], + [ + 6115, + 8014 + ], + [ + 1147, + 10553 + ], + [ + 9299, + 9571 + ], + [ + 10254, + 11255 + ], + [ + 1095, + 3223 + ], + [ + 9601, + 9909 + ], + [ + 6402, + 10673 + ], + [ + 2873, + 11333 + ], + [ + 2811, + 10455 + ], + [ + 3183, + 3645 + ], + [ + 2868, + 4573 + ], + [ + 8456, + 11511 + ], + [ + 2534, + 5451 + ], + [ + 328, + 4219 + ], + [ + 1285, + 2566 + ], + [ + 7730, + 11407 + ], + [ + 1909, + 5399 + ], + [ + 727, + 4490 + ], + [ + 2349, + 9835 + ], + [ + 1373, + 2386 + ], + [ + 192, + 4331 + ], + [ + 283, + 3695 + ], + [ + 5006, + 7741 + ], + [ + 1329, + 5497 + ], + [ + 4515, + 7881 + ], + [ + 38, + 3864 + ], + [ + 1211, + 6939 + ], + [ + 875, + 11154 + ], + [ + 2732, + 5062 + ], + [ + 92, + 10516 + ], + [ + 2169, + 6642 + ], + [ + 235, + 3654 + ], + [ + 522, + 2930 + ], + [ + 7089, + 10448 + ], + [ + 1421, + 5436 + ], + [ + 3950, + 5601 + ], + [ + 2138, + 10712 + ], + [ + 894, + 8171 + ], + [ + 4631, + 8214 + ], + [ + 889, + 1411 + ], + [ + 2570, + 3953 + ], + [ + 6131, + 7712 + ], + [ + 2239, + 4348 + ], + [ + 3846, + 10913 + ], + [ + 2190, + 4486 + ], + [ + 487, + 8012 + ], + [ + 2142, + 4415 + ], + [ + 955, + 3162 + ], + [ + 387, + 10060 + ], + [ + 2156, + 8285 + ], + [ + 1725, + 5066 + ], + [ + 1314, + 4034 + ], + [ + 448, + 11467 + ], + [ + 2470, + 3722 + ], + [ + 769, + 10327 + ], + [ + 3684, + 6798 + ], + [ + 4711, + 6638 + ], + [ + 2875, + 11355 + ], + [ + 2068, + 9569 + ], + [ + 8813, + 11532 + ], + [ + 4778, + 7860 + ], + [ + 908, + 5975 + ], + [ + 7759, + 9088 + ], + [ + 2556, + 8377 + ], + [ + 5605, + 8046 + ], + [ + 3063, + 7619 + ], + [ + 3553, + 7254 + ], + [ + 3274, + 7839 + ], + [ + 3417, + 8147 + ], + [ + 815, + 6915 + ], + [ + 1154, + 6381 + ], + [ + 10892, + 11087 + ], + [ + 7564, + 9751 + ], + [ + 4561, + 9703 + ], + [ + 9829, + 10809 + ], + [ + 6553, + 9663 + ], + [ + 4290, + 7897 + ], + [ + 4783, + 11213 + ], + [ + 2229, + 2855 + ], + [ + 238, + 5749 + ], + [ + 1451, + 6725 + ], + [ + 2129, + 5657 + ], + [ + 5797, + 7061 + ], + [ + 5187, + 8795 + ], + [ + 232, + 5934 + ], + [ + 1851, + 6844 + ], + [ + 3688, + 5735 + ], + [ + 8944, + 9490 + ], + [ + 6977, + 11280 + ], + [ + 4805, + 9632 + ], + [ + 4399, + 8190 + ], + [ + 9932, + 10533 + ], + [ + 2150, + 6884 + ], + [ + 7105, + 7493 + ], + [ + 2838, + 4252 + ], + [ + 6234, + 10418 + ], + [ + 2122, + 4836 + ], + [ + 4955, + 9576 + ], + [ + 2825, + 3266 + ], + [ + 4908, + 9006 + ], + [ + 1955, + 2629 + ], + [ + 3147, + 9144 + ], + [ + 3454, + 9072 + ], + [ + 515, + 10729 + ], + [ + 4596, + 10582 + ], + [ + 9362, + 11292 + ], + [ + 3749, + 5987 + ], + [ + 1825, + 3687 + ], + [ + 303, + 10257 + ], + [ + 3319, + 9786 + ], + [ + 5616, + 10382 + ], + [ + 11259, + 11365 + ], + [ + 4404, + 10762 + ], + [ + 192, + 1566 + ], + [ + 5231, + 7538 + ], + [ + 2562, + 11500 + ], + [ + 2531, + 5771 + ], + [ + 2037, + 8646 + ], + [ + 6051, + 7277 + ], + [ + 13, + 9148 + ], + [ + 130, + 4071 + ], + [ + 1909, + 2984 + ], + [ + 1038, + 10073 + ], + [ + 904, + 7629 + ], + [ + 5611, + 10388 + ], + [ + 9085, + 11549 + ], + [ + 1750, + 8589 + ], + [ + 5664, + 7016 + ], + [ + 1775, + 9585 + ], + [ + 2926, + 8929 + ], + [ + 5224, + 6717 + ], + [ + 3414, + 5485 + ], + [ + 3947, + 8200 + ], + [ + 5155, + 8078 + ], + [ + 953, + 10150 + ], + [ + 2857, + 10263 + ], + [ + 4691, + 7385 + ], + [ + 2449, + 6496 + ], + [ + 575, + 10729 + ], + [ + 4995, + 10048 + ], + [ + 6390, + 9752 + ], + [ + 4681, + 11578 + ], + [ + 3196, + 10860 + ], + [ + 5, + 1716 + ], + [ + 4405, + 10182 + ], + [ + 1884, + 9878 + ], + [ + 6832, + 9316 + ], + [ + 3059, + 7364 + ], + [ + 4463, + 7154 + ], + [ + 422, + 10083 + ], + [ + 326, + 3959 + ], + [ + 312, + 5781 + ], + [ + 4233, + 7631 + ], + [ + 7261, + 9429 + ], + [ + 4666, + 10896 + ], + [ + 3122, + 8817 + ], + [ + 3265, + 4207 + ], + [ + 7848, + 9374 + ], + [ + 5955, + 9393 + ], + [ + 191, + 11089 + ], + [ + 2864, + 7246 + ], + [ + 7559, + 8490 + ], + [ + 2358, + 2944 + ], + [ + 3008, + 10408 + ], + [ + 587, + 8056 + ], + [ + 866, + 1055 + ], + [ + 4948, + 10178 + ], + [ + 1020, + 11321 + ], + [ + 433, + 7589 + ], + [ + 5094, + 10003 + ], + [ + 7145, + 7160 + ], + [ + 51, + 10705 + ], + [ + 5930, + 10275 + ], + [ + 4712, + 6703 + ], + [ + 1859, + 8858 + ], + [ + 3497, + 9818 + ], + [ + 3063, + 7082 + ], + [ + 7586, + 8034 + ], + [ + 2386, + 11004 + ], + [ + 195, + 6670 + ], + [ + 5952, + 8721 + ], + [ + 3006, + 9931 + ], + [ + 785, + 3503 + ], + [ + 2531, + 7194 + ], + [ + 2340, + 7626 + ], + [ + 406, + 11054 + ], + [ + 320, + 5618 + ], + [ + 5729, + 6205 + ], + [ + 5426, + 6396 + ], + [ + 8258, + 10534 + ], + [ + 3585, + 6605 + ], + [ + 10615, + 11181 + ], + [ + 7156, + 10328 + ], + [ + 1957, + 10490 + ], + [ + 7929, + 10251 + ], + [ + 1807, + 7513 + ], + [ + 9217, + 11556 + ], + [ + 5413, + 8039 + ], + [ + 1896, + 6050 + ], + [ + 122, + 5229 + ], + [ + 5693, + 11062 + ], + [ + 963, + 6599 + ], + [ + 9261, + 11104 + ], + [ + 401, + 10279 + ], + [ + 5036, + 5056 + ], + [ + 3883, + 9049 + ], + [ + 2018, + 8864 + ], + [ + 4442, + 10733 + ], + [ + 4650, + 11436 + ], + [ + 2816, + 6400 + ], + [ + 1082, + 10613 + ], + [ + 4026, + 8576 + ], + [ + 2968, + 3007 + ], + [ + 2501, + 4295 + ], + [ + 4782, + 10774 + ], + [ + 715, + 1959 + ], + [ + 1755, + 10332 + ], + [ + 1196, + 2232 + ], + [ + 1323, + 10675 + ], + [ + 2682, + 3552 + ], + [ + 5445, + 5641 + ], + [ + 8815, + 10586 + ], + [ + 4054, + 10974 + ], + [ + 322, + 4859 + ], + [ + 1626, + 10861 + ], + [ + 4608, + 5144 + ], + [ + 747, + 3345 + ], + [ + 5079, + 11145 + ], + [ + 2271, + 8155 + ], + [ + 2049, + 2858 + ], + [ + 994, + 3976 + ], + [ + 1713, + 7073 + ], + [ + 1985, + 5317 + ], + [ + 2582, + 3321 + ], + [ + 6933, + 11171 + ], + [ + 3958, + 7479 + ], + [ + 1585, + 7827 + ], + [ + 491, + 2601 + ], + [ + 3457, + 3521 + ], + [ + 2514, + 4126 + ], + [ + 4910, + 8865 + ], + [ + 2412, + 3849 + ], + [ + 7470, + 8343 + ], + [ + 3227, + 9660 + ], + [ + 2757, + 11431 + ], + [ + 174, + 10249 + ], + [ + 6236, + 6520 + ], + [ + 5036, + 10667 + ], + [ + 387, + 4880 + ], + [ + 6555, + 8717 + ], + [ + 6056, + 11248 + ], + [ + 4459, + 7653 + ], + [ + 5959, + 7151 + ], + [ + 4708, + 8357 + ], + [ + 1721, + 3150 + ], + [ + 1667, + 10461 + ], + [ + 7259, + 10001 + ], + [ + 3189, + 7274 + ], + [ + 2752, + 7273 + ], + [ + 5861, + 6993 + ], + [ + 1100, + 7381 + ], + [ + 6418, + 8604 + ], + [ + 3269, + 8731 + ], + [ + 1927, + 10573 + ], + [ + 9060, + 9612 + ], + [ + 3088, + 4189 + ], + [ + 5660, + 6710 + ], + [ + 4214, + 7418 + ], + [ + 6227, + 8255 + ], + [ + 1683, + 7180 + ], + [ + 5451, + 5782 + ], + [ + 1702, + 4978 + ], + [ + 4852, + 6951 + ], + [ + 6495, + 6757 + ], + [ + 2921, + 8398 + ], + [ + 3110, + 4887 + ], + [ + 6260, + 7614 + ], + [ + 618, + 10239 + ], + [ + 1614, + 5508 + ], + [ + 4105, + 9353 + ], + [ + 6495, + 10140 + ], + [ + 2104, + 11559 + ], + [ + 2921, + 5365 + ], + [ + 6250, + 10309 + ], + [ + 2234, + 10851 + ], + [ + 5407, + 8866 + ], + [ + 1259, + 1375 + ], + [ + 168, + 6246 + ], + [ + 4037, + 7906 + ], + [ + 87, + 7570 + ], + [ + 945, + 9321 + ], + [ + 5967, + 6988 + ], + [ + 6937, + 10458 + ], + [ + 1289, + 2715 + ], + [ + 5676, + 10222 + ], + [ + 172, + 7119 + ], + [ + 4535, + 5904 + ], + [ + 2091, + 7540 + ], + [ + 5210, + 8702 + ], + [ + 3059, + 7177 + ], + [ + 509, + 9141 + ], + [ + 3272, + 8224 + ], + [ + 500, + 11307 + ], + [ + 10154, + 10650 + ], + [ + 316, + 2330 + ], + [ + 8998, + 10962 + ], + [ + 4525, + 11228 + ], + [ + 313, + 2032 + ], + [ + 1586, + 9475 + ], + [ + 712, + 6467 + ], + [ + 3384, + 6186 + ], + [ + 2921, + 4210 + ], + [ + 1057, + 9131 + ], + [ + 1986, + 9594 + ], + [ + 1182, + 1663 + ], + [ + 4352, + 11458 + ], + [ + 1668, + 7972 + ], + [ + 1513, + 11067 + ], + [ + 1769, + 2362 + ], + [ + 7961, + 10003 + ], + [ + 2853, + 6900 + ], + [ + 671, + 6062 + ], + [ + 2357, + 2532 + ], + [ + 3434, + 5899 + ], + [ + 8705, + 10686 + ], + [ + 2661, + 2943 + ], + [ + 618, + 6401 + ], + [ + 3780, + 9919 + ], + [ + 2474, + 6500 + ], + [ + 719, + 6483 + ], + [ + 1659, + 10488 + ], + [ + 7920, + 10352 + ], + [ + 2958, + 6320 + ], + [ + 760, + 5703 + ], + [ + 2647, + 8121 + ], + [ + 7910, + 8883 + ], + [ + 1250, + 3086 + ], + [ + 7155, + 7287 + ], + [ + 6827, + 11363 + ], + [ + 5922, + 9042 + ], + [ + 4546, + 4884 + ], + [ + 600, + 11083 + ], + [ + 2216, + 2650 + ], + [ + 409, + 8105 + ], + [ + 1001, + 5765 + ], + [ + 3791, + 9677 + ], + [ + 1774, + 4934 + ], + [ + 8957, + 10506 + ], + [ + 6810, + 9854 + ], + [ + 2222, + 7726 + ], + [ + 726, + 8347 + ], + [ + 8475, + 10358 + ], + [ + 9605, + 11077 + ], + [ + 3998, + 4089 + ], + [ + 8574, + 10337 + ], + [ + 166, + 776 + ], + [ + 5305, + 10362 + ], + [ + 4770, + 6820 + ], + [ + 1100, + 1583 + ], + [ + 6917, + 10101 + ], + [ + 3316, + 3503 + ], + [ + 3711, + 10448 + ], + [ + 3214, + 3226 + ], + [ + 5139, + 8380 + ], + [ + 1930, + 8456 + ], + [ + 3898, + 10274 + ], + [ + 500, + 3281 + ], + [ + 6687, + 10578 + ], + [ + 317, + 4328 + ], + [ + 2984, + 3703 + ], + [ + 6939, + 11553 + ], + [ + 2558, + 11408 + ], + [ + 2018, + 7522 + ], + [ + 2649, + 10772 + ], + [ + 4292, + 6414 + ], + [ + 1555, + 8929 + ], + [ + 22, + 623 + ], + [ + 5161, + 6045 + ], + [ + 1013, + 4970 + ], + [ + 5656, + 10188 + ], + [ + 3231, + 10346 + ], + [ + 2722, + 8025 + ], + [ + 330, + 10575 + ], + [ + 6517, + 11456 + ], + [ + 1536, + 3210 + ], + [ + 7518, + 7823 + ], + [ + 4400, + 10269 + ], + [ + 3166, + 9170 + ], + [ + 4157, + 10511 + ], + [ + 1812, + 2327 + ], + [ + 581, + 11325 + ], + [ + 8451, + 11411 + ], + [ + 3747, + 5917 + ], + [ + 2322, + 7502 + ], + [ + 6231, + 8591 + ], + [ + 9407, + 10287 + ], + [ + 5711, + 10245 + ], + [ + 2988, + 3421 + ], + [ + 4672, + 4726 + ], + [ + 2058, + 9149 + ], + [ + 5602, + 8797 + ], + [ + 5423, + 7334 + ], + [ + 4609, + 10793 + ], + [ + 3404, + 8180 + ], + [ + 818, + 7481 + ], + [ + 818, + 1065 + ], + [ + 3636, + 7025 + ], + [ + 895, + 3005 + ], + [ + 5915, + 10425 + ], + [ + 595, + 9129 + ], + [ + 743, + 5617 + ], + [ + 1171, + 7784 + ], + [ + 6090, + 8736 + ], + [ + 6408, + 7325 + ], + [ + 1606, + 7712 + ], + [ + 5445, + 11415 + ], + [ + 10393, + 10853 + ], + [ + 3970, + 6497 + ], + [ + 3125, + 8391 + ], + [ + 6060, + 9998 + ], + [ + 5905, + 5923 + ], + [ + 5117, + 8351 + ], + [ + 4903, + 10085 + ], + [ + 2003, + 5254 + ], + [ + 903, + 5875 + ], + [ + 4478, + 7842 + ], + [ + 164, + 8919 + ], + [ + 5489, + 10559 + ], + [ + 899, + 2723 + ], + [ + 1806, + 10752 + ], + [ + 1210, + 9940 + ], + [ + 5635, + 7351 + ], + [ + 564, + 9011 + ], + [ + 2949, + 9454 + ], + [ + 521, + 5931 + ], + [ + 1572, + 1661 + ], + [ + 2516, + 9572 + ], + [ + 2208, + 5255 + ], + [ + 546, + 6927 + ], + [ + 1433, + 8642 + ], + [ + 363, + 1558 + ], + [ + 3043, + 6056 + ], + [ + 481, + 3499 + ], + [ + 4004, + 10938 + ], + [ + 8789, + 9446 + ], + [ + 6244, + 8748 + ], + [ + 1607, + 6728 + ], + [ + 2192, + 3217 + ], + [ + 1930, + 5691 + ], + [ + 3374, + 7509 + ], + [ + 2911, + 6287 + ], + [ + 7258, + 10231 + ], + [ + 564, + 4823 + ], + [ + 5947, + 10605 + ], + [ + 7812, + 8538 + ], + [ + 2917, + 6482 + ], + [ + 5654, + 6596 + ], + [ + 9745, + 11301 + ], + [ + 3415, + 3726 + ], + [ + 1075, + 6466 + ], + [ + 990, + 10300 + ], + [ + 4732, + 10687 + ], + [ + 1052, + 4762 + ], + [ + 5871, + 8516 + ], + [ + 7612, + 11109 + ], + [ + 1012, + 5363 + ], + [ + 3599, + 8916 + ], + [ + 6092, + 7172 + ], + [ + 452, + 10624 + ], + [ + 5531, + 8825 + ], + [ + 2842, + 7247 + ], + [ + 2014, + 11000 + ], + [ + 4990, + 7720 + ], + [ + 4150, + 9958 + ], + [ + 112, + 353 + ], + [ + 910, + 10721 + ], + [ + 5516, + 7012 + ], + [ + 9843, + 10304 + ], + [ + 2381, + 3065 + ], + [ + 1126, + 9033 + ], + [ + 6105, + 10790 + ], + [ + 702, + 6985 + ], + [ + 1443, + 8151 + ], + [ + 2458, + 10640 + ], + [ + 3951, + 8967 + ], + [ + 3679, + 4307 + ], + [ + 5205, + 9944 + ], + [ + 5513, + 10097 + ], + [ + 878, + 6652 + ], + [ + 6197, + 9975 + ], + [ + 7030, + 10730 + ], + [ + 10087, + 11014 + ], + [ + 4545, + 10837 + ], + [ + 9558, + 10670 + ], + [ + 4761, + 4985 + ], + [ + 5869, + 7665 + ], + [ + 6496, + 7763 + ], + [ + 703, + 3803 + ], + [ + 1821, + 9423 + ], + [ + 8419, + 11336 + ], + [ + 8672, + 9530 + ], + [ + 7927, + 9376 + ], + [ + 3902, + 9051 + ], + [ + 5299, + 7670 + ], + [ + 2190, + 5698 + ], + [ + 2061, + 2844 + ], + [ + 1904, + 11528 + ], + [ + 8074, + 9022 + ], + [ + 311, + 2417 + ], + [ + 745, + 8536 + ], + [ + 3549, + 10626 + ], + [ + 2336, + 8152 + ], + [ + 1713, + 8927 + ], + [ + 2427, + 8270 + ], + [ + 6542, + 6953 + ], + [ + 5606, + 9483 + ], + [ + 3028, + 8645 + ], + [ + 4798, + 10478 + ], + [ + 400, + 8474 + ], + [ + 3858, + 9102 + ], + [ + 1673, + 2331 + ], + [ + 3443, + 10580 + ], + [ + 24, + 2710 + ], + [ + 1524, + 2208 + ], + [ + 4414, + 10488 + ], + [ + 2224, + 3373 + ], + [ + 6119, + 10418 + ], + [ + 3758, + 8871 + ], + [ + 1516, + 7982 + ], + [ + 10413, + 11318 + ], + [ + 1600, + 6175 + ], + [ + 949, + 9820 + ], + [ + 2230, + 9954 + ], + [ + 138, + 6380 + ], + [ + 195, + 498 + ], + [ + 723, + 2869 + ], + [ + 1093, + 1648 + ], + [ + 10556, + 10845 + ], + [ + 1216, + 10349 + ], + [ + 505, + 11277 + ], + [ + 541, + 10934 + ], + [ + 8375, + 11363 + ], + [ + 8349, + 10142 + ], + [ + 7516, + 9387 + ], + [ + 5233, + 8497 + ], + [ + 837, + 7320 + ], + [ + 1, + 632 + ], + [ + 8013, + 10193 + ], + [ + 91, + 2777 + ], + [ + 5856, + 8853 + ], + [ + 737, + 7089 + ], + [ + 936, + 10682 + ], + [ + 8004, + 9326 + ], + [ + 6996, + 10290 + ], + [ + 5631, + 9674 + ], + [ + 10574, + 11020 + ], + [ + 4688, + 11033 + ], + [ + 1517, + 7429 + ], + [ + 3849, + 4047 + ], + [ + 2166, + 4842 + ], + [ + 5132, + 5762 + ], + [ + 4373, + 6676 + ], + [ + 6685, + 8304 + ], + [ + 823, + 8711 + ], + [ + 10322, + 11149 + ], + [ + 205, + 10584 + ], + [ + 6055, + 7908 + ], + [ + 606, + 4512 + ], + [ + 363, + 11170 + ], + [ + 1602, + 6197 + ], + [ + 1788, + 3169 + ], + [ + 6715, + 10398 + ], + [ + 291, + 9604 + ], + [ + 4905, + 9920 + ], + [ + 8038, + 10788 + ], + [ + 2214, + 5263 + ], + [ + 845, + 7911 + ], + [ + 2333, + 5894 + ], + [ + 92, + 8613 + ], + [ + 6974, + 10285 + ], + [ + 7401, + 10352 + ], + [ + 6033, + 6055 + ], + [ + 5797, + 7468 + ], + [ + 66, + 976 + ], + [ + 3020, + 10207 + ], + [ + 1655, + 10345 + ], + [ + 253, + 802 + ], + [ + 812, + 8902 + ], + [ + 8535, + 11190 + ], + [ + 3461, + 6917 + ], + [ + 1369, + 3343 + ], + [ + 10183, + 11340 + ], + [ + 1675, + 6833 + ], + [ + 10959, + 11561 + ], + [ + 2739, + 6932 + ], + [ + 7775, + 9223 + ], + [ + 2316, + 7768 + ], + [ + 2484, + 9796 + ], + [ + 3380, + 7867 + ], + [ + 4283, + 9361 + ], + [ + 5110, + 5383 + ], + [ + 204, + 9554 + ], + [ + 6866, + 9762 + ], + [ + 6047, + 6461 + ], + [ + 4558, + 8253 + ], + [ + 1256, + 1722 + ], + [ + 6794, + 10825 + ], + [ + 445, + 3200 + ], + [ + 1307, + 4693 + ], + [ + 6503, + 8397 + ], + [ + 1401, + 7738 + ], + [ + 62, + 9097 + ], + [ + 1001, + 11002 + ], + [ + 2434, + 9278 + ], + [ + 3050, + 11496 + ], + [ + 5758, + 6708 + ], + [ + 2821, + 11444 + ], + [ + 6157, + 10389 + ], + [ + 677, + 7680 + ], + [ + 3134, + 3273 + ], + [ + 4009, + 9889 + ], + [ + 10191, + 10426 + ], + [ + 1946, + 4801 + ], + [ + 979, + 5012 + ], + [ + 2985, + 3150 + ], + [ + 1393, + 4063 + ], + [ + 3282, + 9560 + ], + [ + 6055, + 9331 + ], + [ + 2450, + 9407 + ], + [ + 1796, + 10869 + ], + [ + 1108, + 4833 + ], + [ + 6956, + 8500 + ], + [ + 7515, + 10184 + ], + [ + 6460, + 10548 + ], + [ + 6422, + 7812 + ], + [ + 3096, + 7303 + ], + [ + 8944, + 10970 + ], + [ + 205, + 8974 + ], + [ + 3279, + 9639 + ], + [ + 6795, + 10245 + ], + [ + 4273, + 4835 + ], + [ + 3212, + 7636 + ], + [ + 3301, + 4675 + ], + [ + 3397, + 4383 + ], + [ + 7836, + 7916 + ], + [ + 334, + 6536 + ], + [ + 3732, + 7113 + ], + [ + 4346, + 8504 + ], + [ + 2768, + 7595 + ], + [ + 6314, + 10322 + ], + [ + 2389, + 10982 + ], + [ + 1618, + 8853 + ], + [ + 9574, + 10211 + ], + [ + 1076, + 10556 + ], + [ + 10076, + 11361 + ], + [ + 4167, + 9670 + ], + [ + 586, + 7888 + ], + [ + 2731, + 11096 + ], + [ + 200, + 3688 + ], + [ + 5158, + 10984 + ], + [ + 5621, + 5790 + ], + [ + 8226, + 10703 + ], + [ + 2466, + 2719 + ], + [ + 289, + 727 + ], + [ + 5427, + 5924 + ], + [ + 7235, + 10493 + ], + [ + 5050, + 10138 + ], + [ + 687, + 773 + ], + [ + 3128, + 5255 + ], + [ + 3126, + 8592 + ], + [ + 1342, + 9335 + ], + [ + 10805, + 11362 + ], + [ + 1311, + 9268 + ], + [ + 4961, + 10820 + ], + [ + 880, + 3797 + ], + [ + 1248, + 2503 + ], + [ + 998, + 1574 + ], + [ + 2180, + 2483 + ], + [ + 1216, + 7129 + ], + [ + 4069, + 5728 + ], + [ + 2214, + 6231 + ], + [ + 317, + 8760 + ], + [ + 1462, + 9787 + ], + [ + 7405, + 8056 + ], + [ + 25, + 1943 + ], + [ + 6876, + 8466 + ], + [ + 1203, + 5362 + ], + [ + 4193, + 10086 + ], + [ + 1887, + 5994 + ], + [ + 202, + 10126 + ], + [ + 4094, + 7074 + ], + [ + 1255, + 8935 + ], + [ + 360, + 11466 + ], + [ + 6554, + 9354 + ], + [ + 3218, + 10409 + ], + [ + 2034, + 8673 + ], + [ + 2528, + 2792 + ], + [ + 5032, + 11006 + ], + [ + 6794, + 8060 + ], + [ + 1190, + 7005 + ], + [ + 5925, + 6150 + ], + [ + 1159, + 5440 + ], + [ + 1241, + 1308 + ], + [ + 3181, + 7494 + ], + [ + 72, + 4768 + ], + [ + 3925, + 8177 + ], + [ + 1220, + 6066 + ], + [ + 7562, + 11022 + ], + [ + 7658, + 10730 + ], + [ + 5, + 6929 + ], + [ + 5421, + 10939 + ], + [ + 2298, + 10035 + ], + [ + 2205, + 3428 + ], + [ + 7473, + 8698 + ], + [ + 6444, + 11037 + ], + [ + 1683, + 11425 + ], + [ + 3959, + 10390 + ], + [ + 6215, + 8733 + ], + [ + 2540, + 3152 + ], + [ + 3790, + 8891 + ], + [ + 2355, + 3372 + ], + [ + 708, + 10994 + ], + [ + 3313, + 9491 + ], + [ + 5713, + 6802 + ], + [ + 1611, + 6072 + ], + [ + 5460, + 6356 + ], + [ + 675, + 2186 + ], + [ + 6308, + 8143 + ], + [ + 1008, + 8253 + ], + [ + 1078, + 8992 + ], + [ + 8048, + 11265 + ], + [ + 2816, + 5652 + ], + [ + 1823, + 7648 + ], + [ + 696, + 6446 + ], + [ + 2263, + 7166 + ], + [ + 2251, + 5651 + ], + [ + 3749, + 9240 + ], + [ + 2904, + 11134 + ], + [ + 3007, + 8603 + ], + [ + 357, + 10363 + ], + [ + 1821, + 10204 + ], + [ + 629, + 8607 + ], + [ + 6079, + 9195 + ], + [ + 408, + 6164 + ], + [ + 7037, + 10396 + ], + [ + 432, + 4306 + ], + [ + 3052, + 11005 + ], + [ + 500, + 9136 + ], + [ + 2370, + 8167 + ], + [ + 4734, + 9985 + ], + [ + 3775, + 10811 + ], + [ + 3080, + 9266 + ], + [ + 3269, + 5755 + ], + [ + 6999, + 11043 + ], + [ + 3148, + 7680 + ], + [ + 1400, + 8080 + ], + [ + 8127, + 8683 + ], + [ + 7595, + 9576 + ], + [ + 3266, + 5457 + ], + [ + 7619, + 7718 + ], + [ + 145, + 1216 + ], + [ + 4591, + 5920 + ], + [ + 6562, + 11419 + ], + [ + 8730, + 9915 + ], + [ + 3938, + 10990 + ], + [ + 3666, + 6330 + ], + [ + 2565, + 10513 + ], + [ + 763, + 9896 + ], + [ + 9453, + 9721 + ], + [ + 854, + 3598 + ], + [ + 1110, + 1309 + ], + [ + 2937, + 9338 + ], + [ + 2161, + 2701 + ], + [ + 5550, + 7696 + ], + [ + 4562, + 7784 + ], + [ + 1288, + 3301 + ], + [ + 2712, + 3743 + ], + [ + 10373, + 11569 + ], + [ + 2033, + 6838 + ], + [ + 9531, + 11482 + ], + [ + 7602, + 9592 + ], + [ + 7848, + 9244 + ], + [ + 3018, + 7583 + ], + [ + 52, + 1001 + ], + [ + 4668, + 7779 + ], + [ + 7211, + 11060 + ], + [ + 4940, + 6023 + ], + [ + 5439, + 6902 + ], + [ + 2254, + 8126 + ], + [ + 11044, + 11565 + ], + [ + 6894, + 9663 + ], + [ + 7397, + 11415 + ], + [ + 6482, + 8406 + ], + [ + 1850, + 6730 + ], + [ + 3443, + 7173 + ], + [ + 1106, + 9430 + ], + [ + 1039, + 8208 + ], + [ + 2761, + 6587 + ], + [ + 2568, + 6192 + ], + [ + 1317, + 7398 + ], + [ + 5388, + 6563 + ], + [ + 4202, + 8164 + ], + [ + 2583, + 7254 + ], + [ + 10373, + 10764 + ], + [ + 3553, + 3554 + ], + [ + 1130, + 10955 + ], + [ + 67, + 7294 + ], + [ + 9008, + 10902 + ], + [ + 2814, + 6598 + ], + [ + 9896, + 11364 + ], + [ + 715, + 6017 + ], + [ + 10269, + 10414 + ], + [ + 2833, + 4396 + ], + [ + 5355, + 7554 + ], + [ + 6633, + 8171 + ], + [ + 1657, + 7439 + ], + [ + 602, + 7803 + ], + [ + 2356, + 4996 + ], + [ + 2703, + 8487 + ], + [ + 722, + 6407 + ], + [ + 2866, + 3755 + ], + [ + 1861, + 4236 + ], + [ + 3519, + 5074 + ], + [ + 4880, + 7446 + ], + [ + 1027, + 10426 + ], + [ + 3611, + 8046 + ], + [ + 3107, + 6069 + ], + [ + 9018, + 11216 + ], + [ + 4195, + 10726 + ], + [ + 575, + 5606 + ], + [ + 2796, + 4864 + ], + [ + 1612, + 10298 + ], + [ + 917, + 8753 + ], + [ + 5833, + 6024 + ], + [ + 4786, + 11167 + ], + [ + 674, + 3333 + ], + [ + 1260, + 9092 + ], + [ + 5243, + 6158 + ], + [ + 600, + 9985 + ], + [ + 8074, + 10071 + ], + [ + 939, + 3035 + ], + [ + 2033, + 8261 + ], + [ + 8196, + 11000 + ], + [ + 3428, + 3801 + ], + [ + 2748, + 10458 + ], + [ + 8758, + 10703 + ], + [ + 4866, + 6585 + ], + [ + 3988, + 9093 + ], + [ + 8563, + 9481 + ], + [ + 4366, + 5481 + ], + [ + 252, + 3236 + ], + [ + 3734, + 10674 + ], + [ + 3137, + 4002 + ], + [ + 3666, + 9981 + ], + [ + 4359, + 7693 + ], + [ + 4724, + 6128 + ], + [ + 519, + 4519 + ], + [ + 3576, + 11219 + ], + [ + 656, + 7234 + ], + [ + 3920, + 4613 + ], + [ + 2268, + 7727 + ], + [ + 1423, + 9621 + ], + [ + 3537, + 4094 + ], + [ + 5849, + 9886 + ], + [ + 3100, + 8257 + ], + [ + 5061, + 8904 + ], + [ + 3386, + 8062 + ], + [ + 1688, + 7825 + ], + [ + 1230, + 6193 + ], + [ + 1574, + 6757 + ], + [ + 4160, + 4450 + ], + [ + 6276, + 9172 + ], + [ + 8695, + 10697 + ], + [ + 1603, + 5243 + ], + [ + 513, + 7306 + ], + [ + 1483, + 10022 + ], + [ + 4706, + 7400 + ], + [ + 1695, + 1799 + ], + [ + 3909, + 6302 + ], + [ + 1469, + 5428 + ], + [ + 6355, + 10404 + ], + [ + 2933, + 3017 + ], + [ + 4106, + 6846 + ], + [ + 1879, + 6989 + ], + [ + 2987, + 9669 + ], + [ + 1029, + 2123 + ], + [ + 936, + 1932 + ], + [ + 4788, + 5897 + ], + [ + 8724, + 9533 + ], + [ + 808, + 6850 + ], + [ + 6472, + 7956 + ], + [ + 6969, + 8762 + ], + [ + 88, + 3528 + ], + [ + 4909, + 8109 + ], + [ + 1337, + 3407 + ], + [ + 213, + 8892 + ], + [ + 6563, + 11457 + ], + [ + 2862, + 4655 + ], + [ + 2599, + 5773 + ], + [ + 3013, + 4824 + ], + [ + 2753, + 3207 + ], + [ + 7331, + 10282 + ], + [ + 2503, + 9448 + ], + [ + 1453, + 3740 + ], + [ + 5685, + 7926 + ], + [ + 702, + 5269 + ], + [ + 3382, + 9767 + ], + [ + 883, + 5280 + ], + [ + 1755, + 5209 + ], + [ + 6132, + 7864 + ], + [ + 6574, + 8963 + ], + [ + 11188, + 11531 + ], + [ + 3112, + 10845 + ], + [ + 600, + 1959 + ], + [ + 3812, + 5564 + ], + [ + 4589, + 8639 + ], + [ + 7445, + 10919 + ], + [ + 2097, + 7575 + ], + [ + 5937, + 10779 + ], + [ + 3765, + 9131 + ], + [ + 1210, + 3581 + ], + [ + 1805, + 4922 + ], + [ + 2636, + 11266 + ], + [ + 5134, + 9866 + ], + [ + 63, + 11526 + ], + [ + 5290, + 9625 + ], + [ + 6501, + 9774 + ], + [ + 4634, + 8008 + ], + [ + 680, + 10182 + ], + [ + 4508, + 9589 + ], + [ + 3968, + 5703 + ], + [ + 1972, + 2591 + ], + [ + 1455, + 10178 + ], + [ + 8762, + 11090 + ], + [ + 569, + 5655 + ], + [ + 5426, + 5729 + ], + [ + 7891, + 8353 + ], + [ + 6650, + 10247 + ], + [ + 955, + 2658 + ], + [ + 3876, + 5333 + ], + [ + 6328, + 7752 + ], + [ + 6018, + 9024 + ], + [ + 3057, + 9202 + ], + [ + 758, + 5527 + ], + [ + 813, + 5234 + ], + [ + 130, + 1794 + ], + [ + 4854, + 5688 + ], + [ + 3437, + 5636 + ], + [ + 1775, + 7308 + ], + [ + 1472, + 7499 + ], + [ + 252, + 3854 + ], + [ + 8464, + 9339 + ], + [ + 5143, + 9174 + ], + [ + 9, + 686 + ], + [ + 959, + 2026 + ], + [ + 4954, + 7023 + ], + [ + 5317, + 11047 + ], + [ + 6662, + 7224 + ], + [ + 5734, + 9615 + ], + [ + 6037, + 7172 + ], + [ + 8965, + 11018 + ], + [ + 425, + 11137 + ], + [ + 678, + 2915 + ], + [ + 1149, + 4752 + ], + [ + 8277, + 10617 + ], + [ + 589, + 3597 + ], + [ + 453, + 10152 + ], + [ + 19, + 7416 + ], + [ + 6338, + 10668 + ], + [ + 395, + 3731 + ], + [ + 479, + 1924 + ], + [ + 4410, + 5216 + ], + [ + 7383, + 8081 + ], + [ + 2775, + 9465 + ], + [ + 9595, + 10259 + ], + [ + 2372, + 7540 + ], + [ + 1133, + 10261 + ], + [ + 1810, + 9722 + ], + [ + 534, + 8397 + ], + [ + 6876, + 6937 + ], + [ + 2022, + 11298 + ], + [ + 8061, + 11527 + ], + [ + 5946, + 6249 + ], + [ + 6202, + 10376 + ], + [ + 318, + 636 + ], + [ + 2893, + 6838 + ], + [ + 801, + 3264 + ], + [ + 7492, + 8374 + ], + [ + 3041, + 7490 + ], + [ + 2490, + 9831 + ], + [ + 9118, + 11209 + ], + [ + 9355, + 10398 + ], + [ + 7993, + 10053 + ], + [ + 8610, + 8709 + ], + [ + 2142, + 5334 + ], + [ + 1788, + 4836 + ], + [ + 3725, + 7341 + ], + [ + 1350, + 11026 + ], + [ + 7084, + 11373 + ], + [ + 16, + 6313 + ], + [ + 4186, + 8867 + ], + [ + 7830, + 8719 + ], + [ + 4119, + 7645 + ], + [ + 6693, + 6829 + ], + [ + 3778, + 7352 + ], + [ + 1963, + 2366 + ], + [ + 3406, + 5494 + ], + [ + 5959, + 10217 + ], + [ + 3112, + 5047 + ], + [ + 7408, + 9026 + ], + [ + 1596, + 5016 + ], + [ + 8686, + 9643 + ], + [ + 2497, + 5683 + ], + [ + 4173, + 7881 + ], + [ + 3061, + 7711 + ], + [ + 5919, + 10818 + ], + [ + 1493, + 6766 + ], + [ + 7589, + 8283 + ], + [ + 2585, + 4749 + ], + [ + 3397, + 4627 + ], + [ + 5069, + 11587 + ], + [ + 910, + 10323 + ], + [ + 4190, + 8235 + ], + [ + 10012, + 10681 + ], + [ + 614, + 2633 + ], + [ + 5130, + 6578 + ], + [ + 1186, + 9440 + ], + [ + 245, + 10872 + ], + [ + 6373, + 11146 + ], + [ + 169, + 5400 + ], + [ + 24, + 9183 + ], + [ + 4162, + 9570 + ], + [ + 244, + 11401 + ], + [ + 3358, + 8055 + ], + [ + 3561, + 7660 + ], + [ + 206, + 2249 + ], + [ + 5711, + 8960 + ], + [ + 5716, + 9304 + ], + [ + 1320, + 10379 + ], + [ + 6743, + 6892 + ], + [ + 2106, + 9036 + ], + [ + 2233, + 11063 + ], + [ + 446, + 955 + ], + [ + 1999, + 10667 + ], + [ + 3587, + 5848 + ], + [ + 2186, + 4077 + ], + [ + 5279, + 6270 + ], + [ + 5855, + 11341 + ], + [ + 7826, + 10424 + ], + [ + 466, + 5744 + ], + [ + 2193, + 4467 + ], + [ + 8750, + 10543 + ], + [ + 3717, + 8523 + ], + [ + 7785, + 8171 + ], + [ + 2305, + 4708 + ], + [ + 1028, + 4693 + ], + [ + 3646, + 9811 + ], + [ + 594, + 1957 + ], + [ + 2997, + 9365 + ], + [ + 1151, + 9230 + ], + [ + 2054, + 4308 + ], + [ + 7840, + 11261 + ], + [ + 3234, + 8554 + ], + [ + 1124, + 10790 + ], + [ + 739, + 3809 + ], + [ + 4947, + 9853 + ], + [ + 7001, + 10691 + ], + [ + 1495, + 6007 + ], + [ + 717, + 9877 + ], + [ + 6653, + 9227 + ], + [ + 1887, + 9271 + ], + [ + 6348, + 8591 + ], + [ + 2917, + 10540 + ], + [ + 5816, + 8730 + ], + [ + 7094, + 10101 + ], + [ + 21, + 4697 + ], + [ + 1757, + 6946 + ], + [ + 10721, + 11504 + ], + [ + 1765, + 10971 + ], + [ + 8391, + 9270 + ], + [ + 4067, + 5495 + ], + [ + 1176, + 10576 + ], + [ + 5844, + 7745 + ], + [ + 4378, + 7077 + ], + [ + 4054, + 10925 + ], + [ + 2288, + 9965 + ], + [ + 4796, + 8529 + ], + [ + 2650, + 8102 + ], + [ + 7006, + 9880 + ], + [ + 5240, + 8920 + ], + [ + 3898, + 10762 + ], + [ + 254, + 330 + ], + [ + 586, + 9205 + ], + [ + 586, + 2789 + ], + [ + 4491, + 11276 + ], + [ + 5329, + 8211 + ], + [ + 6502, + 11286 + ], + [ + 5972, + 8088 + ], + [ + 4265, + 9243 + ], + [ + 1658, + 9919 + ], + [ + 1307, + 8938 + ], + [ + 1178, + 6084 + ], + [ + 2241, + 9745 + ], + [ + 3564, + 3719 + ], + [ + 5750, + 6928 + ], + [ + 3162, + 9566 + ], + [ + 741, + 798 + ], + [ + 548, + 6819 + ], + [ + 6057, + 11020 + ], + [ + 950, + 4355 + ], + [ + 1103, + 1187 + ], + [ + 421, + 4765 + ], + [ + 6773, + 10409 + ], + [ + 667, + 1788 + ], + [ + 768, + 8256 + ], + [ + 42, + 8152 + ], + [ + 8817, + 10559 + ], + [ + 986, + 3231 + ], + [ + 4898, + 8001 + ], + [ + 10625, + 11341 + ], + [ + 2249, + 6199 + ], + [ + 6763, + 9317 + ], + [ + 3339, + 8273 + ], + [ + 2494, + 10167 + ], + [ + 2148, + 3114 + ], + [ + 4357, + 7273 + ], + [ + 2774, + 6020 + ], + [ + 4798, + 11153 + ], + [ + 2766, + 5378 + ], + [ + 3634, + 7817 + ], + [ + 6427, + 11246 + ], + [ + 2282, + 7436 + ], + [ + 5238, + 6914 + ], + [ + 477, + 7302 + ], + [ + 6650, + 11483 + ], + [ + 1612, + 9119 + ], + [ + 4752, + 10404 + ], + [ + 74, + 6131 + ], + [ + 9315, + 10031 + ], + [ + 6744, + 10364 + ], + [ + 1348, + 3596 + ], + [ + 4281, + 7786 + ], + [ + 1103, + 3765 + ], + [ + 480, + 4540 + ], + [ + 6849, + 7155 + ], + [ + 6162, + 10389 + ], + [ + 3274, + 8571 + ], + [ + 6075, + 11144 + ], + [ + 4080, + 10886 + ], + [ + 4197, + 5055 + ], + [ + 2829, + 4922 + ], + [ + 1484, + 6466 + ], + [ + 1262, + 7585 + ], + [ + 5317, + 6217 + ], + [ + 2540, + 8202 + ], + [ + 148, + 10752 + ], + [ + 2440, + 11004 + ], + [ + 3909, + 11189 + ], + [ + 1392, + 6877 + ], + [ + 1638, + 3900 + ], + [ + 1114, + 10316 + ], + [ + 2686, + 4994 + ], + [ + 2128, + 6164 + ], + [ + 4607, + 6242 + ], + [ + 6200, + 8937 + ], + [ + 3591, + 6534 + ], + [ + 2588, + 7842 + ], + [ + 1528, + 7862 + ], + [ + 1433, + 4592 + ], + [ + 4681, + 7854 + ], + [ + 1715, + 7688 + ], + [ + 6758, + 10396 + ], + [ + 1807, + 4244 + ], + [ + 6201, + 8758 + ], + [ + 848, + 11486 + ], + [ + 4663, + 6524 + ], + [ + 5845, + 7433 + ], + [ + 5007, + 6334 + ], + [ + 5041, + 11580 + ], + [ + 442, + 4382 + ], + [ + 11147, + 11533 + ], + [ + 1465, + 3726 + ], + [ + 7086, + 8922 + ], + [ + 1847, + 3269 + ], + [ + 4369, + 6427 + ], + [ + 210, + 5163 + ], + [ + 3721, + 4671 + ], + [ + 2934, + 10707 + ], + [ + 599, + 7375 + ], + [ + 1390, + 8628 + ], + [ + 2715, + 4927 + ], + [ + 4922, + 6761 + ], + [ + 8134, + 10366 + ], + [ + 2007, + 7284 + ], + [ + 2134, + 9311 + ], + [ + 3249, + 8998 + ], + [ + 2652, + 4578 + ], + [ + 3834, + 5487 + ], + [ + 3023, + 6211 + ], + [ + 3995, + 4092 + ], + [ + 3958, + 4210 + ], + [ + 1217, + 6606 + ], + [ + 1929, + 10784 + ], + [ + 1924, + 4024 + ], + [ + 2827, + 6272 + ], + [ + 681, + 11507 + ], + [ + 3983, + 5960 + ], + [ + 6930, + 7604 + ], + [ + 243, + 9783 + ], + [ + 1456, + 5841 + ], + [ + 3546, + 8588 + ], + [ + 4231, + 6439 + ], + [ + 6316, + 9596 + ], + [ + 2791, + 10375 + ], + [ + 4658, + 5725 + ], + [ + 3625, + 9820 + ], + [ + 1856, + 10097 + ], + [ + 767, + 5215 + ], + [ + 3150, + 4831 + ], + [ + 907, + 10887 + ], + [ + 4673, + 5252 + ], + [ + 287, + 4763 + ], + [ + 543, + 2474 + ], + [ + 3647, + 9020 + ], + [ + 8134, + 9561 + ], + [ + 696, + 3470 + ], + [ + 5352, + 5540 + ], + [ + 3958, + 6438 + ], + [ + 1288, + 7546 + ], + [ + 2598, + 6920 + ], + [ + 4016, + 4164 + ], + [ + 8274, + 8817 + ], + [ + 1625, + 9568 + ], + [ + 1150, + 10241 + ], + [ + 4147, + 6310 + ], + [ + 3758, + 9009 + ], + [ + 4194, + 9539 + ], + [ + 899, + 4179 + ], + [ + 892, + 3008 + ], + [ + 5711, + 6008 + ], + [ + 4134, + 7953 + ], + [ + 4062, + 6387 + ], + [ + 6020, + 7517 + ], + [ + 2852, + 9846 + ], + [ + 1416, + 1473 + ], + [ + 3662, + 8897 + ], + [ + 1543, + 10293 + ], + [ + 2746, + 5663 + ], + [ + 865, + 7197 + ], + [ + 2162, + 6366 + ], + [ + 1032, + 11282 + ], + [ + 5056, + 8349 + ], + [ + 2346, + 5140 + ], + [ + 10341, + 10590 + ], + [ + 3558, + 8143 + ], + [ + 10208, + 11000 + ], + [ + 2429, + 10278 + ], + [ + 2396, + 8640 + ], + [ + 2965, + 11012 + ], + [ + 3987, + 7502 + ], + [ + 2048, + 11340 + ], + [ + 3331, + 5885 + ], + [ + 7493, + 11584 + ], + [ + 4535, + 4863 + ], + [ + 1957, + 8189 + ], + [ + 868, + 3307 + ], + [ + 171, + 1689 + ], + [ + 8646, + 10220 + ], + [ + 7402, + 8433 + ], + [ + 3099, + 5535 + ], + [ + 9050, + 10835 + ], + [ + 6281, + 11183 + ], + [ + 88, + 9733 + ], + [ + 3156, + 9452 + ], + [ + 6425, + 7929 + ], + [ + 8288, + 11451 + ], + [ + 4934, + 8894 + ], + [ + 7606, + 8613 + ], + [ + 2274, + 5802 + ], + [ + 2377, + 7435 + ], + [ + 7640, + 8197 + ], + [ + 2874, + 7487 + ], + [ + 4090, + 7980 + ], + [ + 1972, + 9601 + ], + [ + 2094, + 10530 + ], + [ + 1657, + 4113 + ], + [ + 2708, + 5505 + ], + [ + 2240, + 3939 + ], + [ + 5225, + 8319 + ], + [ + 8592, + 9583 + ], + [ + 2563, + 2872 + ], + [ + 1250, + 9616 + ], + [ + 9937, + 11422 + ], + [ + 10081, + 10420 + ], + [ + 1241, + 5366 + ], + [ + 905, + 5417 + ], + [ + 2866, + 10228 + ], + [ + 6104, + 8638 + ], + [ + 5378, + 8534 + ], + [ + 10116, + 10606 + ], + [ + 4579, + 10773 + ], + [ + 873, + 6633 + ], + [ + 8648, + 9111 + ], + [ + 6251, + 11317 + ], + [ + 6060, + 8339 + ], + [ + 2484, + 6901 + ], + [ + 3607, + 10613 + ], + [ + 4570, + 9906 + ], + [ + 50, + 9225 + ], + [ + 2631, + 3164 + ], + [ + 2104, + 10063 + ], + [ + 573, + 9000 + ], + [ + 5580, + 5635 + ], + [ + 2132, + 9078 + ], + [ + 1791, + 2369 + ], + [ + 4524, + 9911 + ], + [ + 3270, + 3272 + ], + [ + 7889, + 10348 + ], + [ + 4334, + 9787 + ], + [ + 777, + 8399 + ], + [ + 125, + 4272 + ], + [ + 4924, + 10003 + ], + [ + 1686, + 5177 + ], + [ + 4234, + 9556 + ], + [ + 1746, + 5228 + ], + [ + 3482, + 7477 + ], + [ + 6433, + 6611 + ], + [ + 649, + 10284 + ], + [ + 1480, + 3796 + ], + [ + 7235, + 11436 + ], + [ + 2223, + 8041 + ], + [ + 2854, + 11291 + ], + [ + 8139, + 9368 + ], + [ + 4588, + 6297 + ], + [ + 3062, + 5578 + ], + [ + 2316, + 7451 + ], + [ + 669, + 1487 + ], + [ + 3618, + 6210 + ], + [ + 983, + 9756 + ], + [ + 1811, + 6003 + ], + [ + 6914, + 8762 + ], + [ + 8319, + 11406 + ], + [ + 50, + 5387 + ], + [ + 8511, + 11576 + ], + [ + 7631, + 8753 + ], + [ + 4573, + 11250 + ], + [ + 1624, + 6527 + ], + [ + 5734, + 11282 + ], + [ + 1364, + 4910 + ], + [ + 1718, + 9572 + ], + [ + 2831, + 8432 + ], + [ + 6654, + 7495 + ], + [ + 3118, + 5456 + ], + [ + 6447, + 10400 + ], + [ + 7658, + 9795 + ], + [ + 10108, + 11387 + ], + [ + 6071, + 11052 + ], + [ + 2298, + 9100 + ], + [ + 8337, + 10083 + ], + [ + 9636, + 11577 + ], + [ + 9801, + 9924 + ], + [ + 2201, + 11419 + ], + [ + 6807, + 7710 + ], + [ + 3782, + 10347 + ], + [ + 1631, + 3160 + ], + [ + 9758, + 10227 + ], + [ + 3870, + 9413 + ], + [ + 1511, + 1523 + ], + [ + 1473, + 5203 + ], + [ + 1256, + 6666 + ], + [ + 2656, + 8966 + ], + [ + 2863, + 10198 + ], + [ + 1631, + 3510 + ], + [ + 4575, + 7889 + ], + [ + 3274, + 4814 + ], + [ + 6911, + 7659 + ], + [ + 6477, + 11339 + ], + [ + 1434, + 5625 + ], + [ + 2430, + 3900 + ], + [ + 1466, + 10798 + ], + [ + 4924, + 5010 + ], + [ + 531, + 9766 + ], + [ + 4540, + 8053 + ], + [ + 3645, + 4168 + ], + [ + 7812, + 9457 + ], + [ + 2583, + 8279 + ], + [ + 5852, + 6002 + ], + [ + 965, + 9469 + ], + [ + 394, + 10434 + ], + [ + 34, + 5927 + ], + [ + 2173, + 2931 + ], + [ + 2415, + 9634 + ], + [ + 3134, + 8567 + ], + [ + 1546, + 6970 + ], + [ + 2265, + 5903 + ], + [ + 4852, + 9456 + ], + [ + 1705, + 11164 + ], + [ + 1483, + 1703 + ], + [ + 736, + 4886 + ], + [ + 5586, + 9451 + ], + [ + 3938, + 7022 + ], + [ + 5669, + 8173 + ], + [ + 253, + 753 + ], + [ + 1568, + 11051 + ], + [ + 2559, + 8228 + ], + [ + 2528, + 6663 + ], + [ + 3297, + 5713 + ], + [ + 1500, + 3188 + ], + [ + 2530, + 6709 + ], + [ + 940, + 4285 + ], + [ + 4484, + 10349 + ], + [ + 3266, + 3367 + ], + [ + 3601, + 9507 + ], + [ + 738, + 6810 + ], + [ + 2044, + 3059 + ], + [ + 2680, + 6653 + ], + [ + 4946, + 5684 + ], + [ + 3912, + 7679 + ], + [ + 7026, + 7743 + ], + [ + 703, + 7755 + ], + [ + 7812, + 8652 + ], + [ + 3392, + 9333 + ], + [ + 5726, + 8276 + ], + [ + 2894, + 4892 + ], + [ + 4902, + 5385 + ], + [ + 2641, + 4446 + ], + [ + 1895, + 6319 + ], + [ + 4756, + 8943 + ], + [ + 5706, + 10283 + ], + [ + 3727, + 9030 + ], + [ + 2638, + 4148 + ], + [ + 303, + 7232 + ], + [ + 6622, + 10484 + ], + [ + 2223, + 5626 + ], + [ + 4900, + 5689 + ], + [ + 2035, + 5575 + ], + [ + 1197, + 4476 + ], + [ + 8817, + 10803 + ], + [ + 665, + 5369 + ], + [ + 670, + 5713 + ], + [ + 7979, + 9704 + ], + [ + 2476, + 8701 + ], + [ + 7729, + 8775 + ], + [ + 167, + 6590 + ], + [ + 5308, + 6423 + ], + [ + 7133, + 7963 + ], + [ + 6639, + 10838 + ], + [ + 2441, + 3984 + ], + [ + 4182, + 6577 + ], + [ + 2181, + 8783 + ], + [ + 1694, + 2249 + ], + [ + 4339, + 9944 + ], + [ + 4520, + 5818 + ], + [ + 3186, + 7521 + ], + [ + 1906, + 3825 + ], + [ + 3139, + 6951 + ], + [ + 1533, + 10410 + ], + [ + 3450, + 11539 + ], + [ + 1345, + 11113 + ], + [ + 2897, + 4385 + ], + [ + 10132, + 10147 + ], + [ + 2324, + 4523 + ], + [ + 128, + 11149 + ], + [ + 8399, + 11579 + ], + [ + 4696, + 11120 + ], + [ + 1200, + 7756 + ], + [ + 3857, + 9796 + ], + [ + 8735, + 10747 + ], + [ + 5743, + 9360 + ], + [ + 4524, + 8569 + ], + [ + 6296, + 6311 + ], + [ + 1361, + 5580 + ], + [ + 3498, + 8173 + ], + [ + 6051, + 6480 + ], + [ + 550, + 6304 + ], + [ + 851, + 3034 + ], + [ + 5238, + 10541 + ], + [ + 3964, + 10797 + ], + [ + 853, + 7244 + ], + [ + 5175, + 10192 + ], + [ + 5462, + 9468 + ], + [ + 1680, + 3266 + ], + [ + 1528, + 5878 + ], + [ + 972, + 7875 + ], + [ + 2486, + 5581 + ], + [ + 1310, + 1454 + ], + [ + 1246, + 10329 + ], + [ + 8180, + 8781 + ], + [ + 492, + 8177 + ], + [ + 965, + 3671 + ], + [ + 4420, + 4782 + ], + [ + 994, + 2911 + ], + [ + 1458, + 7741 + ], + [ + 6186, + 9125 + ], + [ + 4627, + 7512 + ], + [ + 1055, + 3564 + ], + [ + 5628, + 10295 + ], + [ + 681, + 879 + ], + [ + 7365, + 8982 + ], + [ + 3745, + 3862 + ], + [ + 5892, + 7897 + ], + [ + 6991, + 7051 + ], + [ + 2249, + 10899 + ], + [ + 2450, + 8903 + ], + [ + 6176, + 10285 + ], + [ + 2788, + 8898 + ], + [ + 2750, + 6162 + ], + [ + 4763, + 6999 + ], + [ + 1621, + 8297 + ], + [ + 352, + 8897 + ], + [ + 3273, + 11572 + ], + [ + 1895, + 6587 + ], + [ + 5689, + 7164 + ], + [ + 336, + 3476 + ], + [ + 3739, + 4397 + ], + [ + 1591, + 9559 + ], + [ + 58, + 6915 + ], + [ + 1625, + 8389 + ], + [ + 3571, + 8004 + ], + [ + 4598, + 4838 + ], + [ + 7278, + 9336 + ], + [ + 8962, + 11395 + ], + [ + 4884, + 8807 + ], + [ + 3597, + 3940 + ], + [ + 1175, + 7779 + ], + [ + 397, + 7485 + ], + [ + 1608, + 6880 + ], + [ + 8354, + 9445 + ], + [ + 3306, + 6393 + ], + [ + 42, + 2598 + ], + [ + 3775, + 11567 + ], + [ + 4551, + 11034 + ], + [ + 7, + 3543 + ], + [ + 6427, + 6847 + ], + [ + 6446, + 11061 + ], + [ + 4106, + 8139 + ], + [ + 10212, + 10344 + ], + [ + 253, + 10365 + ], + [ + 1717, + 10206 + ], + [ + 3644, + 9017 + ], + [ + 874, + 6511 + ], + [ + 4019, + 8894 + ], + [ + 867, + 5340 + ], + [ + 6095, + 7047 + ], + [ + 8612, + 9861 + ], + [ + 4916, + 10573 + ], + [ + 2705, + 11249 + ], + [ + 3520, + 4228 + ], + [ + 3076, + 7220 + ], + [ + 1861, + 10335 + ], + [ + 1491, + 4386 + ], + [ + 3722, + 4362 + ], + [ + 5695, + 6524 + ], + [ + 5244, + 8345 + ], + [ + 1086, + 9935 + ], + [ + 2812, + 11496 + ], + [ + 8021, + 8989 + ], + [ + 6796, + 11416 + ], + [ + 6524, + 6756 + ], + [ + 1601, + 9068 + ], + [ + 362, + 7625 + ], + [ + 1759, + 10408 + ], + [ + 5515, + 9747 + ], + [ + 1256, + 11285 + ], + [ + 1535, + 4284 + ], + [ + 3904, + 6446 + ], + [ + 10001, + 10817 + ], + [ + 2066, + 3920 + ], + [ + 4335, + 5851 + ], + [ + 3177, + 9500 + ], + [ + 2585, + 5424 + ], + [ + 11169, + 11269 + ], + [ + 3795, + 5348 + ], + [ + 1450, + 7744 + ], + [ + 2551, + 3561 + ], + [ + 8710, + 8810 + ], + [ + 1332, + 2770 + ], + [ + 5936, + 8814 + ], + [ + 1077, + 2251 + ], + [ + 4963, + 11462 + ], + [ + 2697, + 6769 + ], + [ + 665, + 7410 + ], + [ + 5234, + 10235 + ], + [ + 1593, + 10654 + ], + [ + 2255, + 9053 + ], + [ + 2692, + 9808 + ], + [ + 3433, + 6056 + ], + [ + 2158, + 2704 + ], + [ + 3866, + 9321 + ], + [ + 2529, + 5091 + ], + [ + 593, + 7692 + ], + [ + 438, + 4371 + ], + [ + 5453, + 11447 + ], + [ + 4617, + 4759 + ], + [ + 2993, + 3505 + ], + [ + 7378, + 10185 + ], + [ + 7622, + 10545 + ], + [ + 4726, + 11118 + ], + [ + 1237, + 2509 + ], + [ + 495, + 1872 + ], + [ + 4605, + 6627 + ], + [ + 4567, + 10307 + ], + [ + 4192, + 4768 + ], + [ + 3939, + 4322 + ], + [ + 2617, + 7540 + ], + [ + 1727, + 5527 + ], + [ + 9636, + 11203 + ], + [ + 4438, + 5174 + ], + [ + 6318, + 10555 + ], + [ + 1078, + 4300 + ], + [ + 1766, + 8838 + ], + [ + 4305, + 8967 + ], + [ + 4129, + 10431 + ], + [ + 3651, + 7423 + ], + [ + 1688, + 6703 + ], + [ + 5891, + 7485 + ], + [ + 5612, + 8070 + ], + [ + 3831, + 6078 + ], + [ + 881, + 4136 + ], + [ + 872, + 6302 + ], + [ + 9779, + 11080 + ], + [ + 1713, + 4666 + ], + [ + 9185, + 10341 + ], + [ + 1678, + 7863 + ], + [ + 2425, + 3182 + ], + [ + 4518, + 9610 + ], + [ + 5700, + 11273 + ], + [ + 5284, + 9143 + ], + [ + 4637, + 5360 + ], + [ + 2460, + 5620 + ], + [ + 1080, + 10388 + ], + [ + 5342, + 6115 + ], + [ + 486, + 9649 + ], + [ + 6277, + 6366 + ], + [ + 1934, + 2541 + ], + [ + 1179, + 1699 + ], + [ + 2913, + 9537 + ], + [ + 4351, + 8157 + ], + [ + 6612, + 6844 + ], + [ + 5560, + 10889 + ], + [ + 8741, + 8765 + ], + [ + 6894, + 9159 + ], + [ + 4215, + 6017 + ], + [ + 2565, + 2788 + ], + [ + 5622, + 9488 + ], + [ + 6401, + 8472 + ], + [ + 3275, + 11057 + ], + [ + 5305, + 7337 + ], + [ + 3275, + 4641 + ], + [ + 5277, + 5289 + ], + [ + 7068, + 7245 + ], + [ + 2654, + 11124 + ], + [ + 7850, + 10664 + ], + [ + 2962, + 9779 + ], + [ + 7098, + 9339 + ], + [ + 7230, + 8704 + ], + [ + 6571, + 9822 + ], + [ + 4804, + 6008 + ], + [ + 1774, + 4137 + ], + [ + 991, + 6909 + ], + [ + 6758, + 9648 + ], + [ + 6316, + 9303 + ], + [ + 8217, + 9145 + ], + [ + 3085, + 10529 + ], + [ + 1297, + 8120 + ], + [ + 298, + 9547 + ], + [ + 3978, + 8302 + ], + [ + 1726, + 7479 + ], + [ + 9009, + 10249 + ], + [ + 184, + 2063 + ], + [ + 246, + 2941 + ], + [ + 5461, + 6695 + ], + [ + 2288, + 8680 + ], + [ + 3506, + 9246 + ], + [ + 4432, + 6028 + ], + [ + 6866, + 9339 + ], + [ + 6654, + 8894 + ], + [ + 207, + 6396 + ], + [ + 1138, + 3522 + ], + [ + 2163, + 6699 + ], + [ + 4434, + 6074 + ], + [ + 6646, + 8252 + ], + [ + 3629, + 10750 + ], + [ + 565, + 1381 + ], + [ + 4246, + 10160 + ], + [ + 1340, + 3629 + ], + [ + 3927, + 11346 + ], + [ + 3619, + 7029 + ], + [ + 2896, + 10606 + ], + [ + 6905, + 8139 + ], + [ + 3307, + 5222 + ], + [ + 5516, + 10135 + ], + [ + 214, + 3029 + ], + [ + 1062, + 4816 + ], + [ + 1686, + 7649 + ], + [ + 1180, + 9009 + ], + [ + 2553, + 7234 + ], + [ + 3456, + 8728 + ], + [ + 1095, + 10591 + ], + [ + 1021, + 1782 + ], + [ + 3785, + 10889 + ], + [ + 423, + 10723 + ], + [ + 5008, + 5383 + ], + [ + 5911, + 7631 + ], + [ + 1140, + 2413 + ], + [ + 4501, + 9524 + ], + [ + 6992, + 11117 + ], + [ + 5588, + 7163 + ], + [ + 8461, + 11302 + ], + [ + 5063, + 9227 + ], + [ + 3070, + 11294 + ], + [ + 142, + 1032 + ], + [ + 2604, + 3385 + ], + [ + 3913, + 6321 + ], + [ + 489, + 4523 + ], + [ + 3758, + 9416 + ], + [ + 5750, + 9376 + ], + [ + 4215, + 10823 + ], + [ + 227, + 581 + ], + [ + 2069, + 9642 + ], + [ + 9100, + 11410 + ], + [ + 1805, + 11289 + ], + [ + 1512, + 8004 + ], + [ + 4148, + 5814 + ], + [ + 4552, + 6429 + ], + [ + 2745, + 9632 + ], + [ + 5286, + 6424 + ], + [ + 6717, + 8037 + ], + [ + 4602, + 9175 + ], + [ + 873, + 1079 + ], + [ + 5351, + 7950 + ], + [ + 7962, + 10399 + ], + [ + 7277, + 9542 + ], + [ + 6031, + 11092 + ], + [ + 5647, + 7719 + ], + [ + 84, + 8917 + ], + [ + 5249, + 6892 + ], + [ + 5240, + 9058 + ], + [ + 4840, + 11568 + ], + [ + 3499, + 9848 + ], + [ + 6166, + 9223 + ], + [ + 5460, + 8243 + ], + [ + 5295, + 6486 + ], + [ + 10902, + 11222 + ], + [ + 3495, + 6696 + ], + [ + 2805, + 5495 + ], + [ + 35, + 2989 + ], + [ + 1688, + 9899 + ], + [ + 6266, + 9804 + ], + [ + 3248, + 9448 + ], + [ + 3828, + 5593 + ], + [ + 2867, + 3340 + ], + [ + 3328, + 4489 + ], + [ + 9396, + 10374 + ], + [ + 10614, + 10940 + ], + [ + 5010, + 9885 + ], + [ + 1806, + 10305 + ], + [ + 4975, + 10830 + ], + [ + 1363, + 9735 + ], + [ + 3751, + 10449 + ], + [ + 9358, + 11021 + ], + [ + 1118, + 9904 + ], + [ + 179, + 2337 + ], + [ + 7744, + 8203 + ], + [ + 2634, + 3519 + ], + [ + 7369, + 8326 + ], + [ + 3914, + 11379 + ], + [ + 5839, + 10117 + ], + [ + 1768, + 10952 + ], + [ + 774, + 10094 + ], + [ + 2544, + 11173 + ], + [ + 9053, + 10385 + ], + [ + 4837, + 7863 + ], + [ + 663, + 1403 + ], + [ + 6404, + 9337 + ], + [ + 7574, + 8731 + ], + [ + 3883, + 9033 + ], + [ + 4346, + 4593 + ], + [ + 478, + 5787 + ], + [ + 2439, + 6434 + ], + [ + 2592, + 6676 + ], + [ + 10718, + 10889 + ], + [ + 5434, + 9250 + ], + [ + 2041, + 3355 + ], + [ + 1230, + 10495 + ], + [ + 6431, + 10379 + ], + [ + 3279, + 10989 + ], + [ + 4958, + 6288 + ], + [ + 1277, + 3144 + ], + [ + 1349, + 5464 + ], + [ + 7281, + 11488 + ], + [ + 3674, + 4321 + ], + [ + 1924, + 10310 + ], + [ + 964, + 1866 + ], + [ + 4234, + 9613 + ], + [ + 2333, + 2601 + ], + [ + 2047, + 6179 + ], + [ + 7561, + 10724 + ], + [ + 741, + 3514 + ], + [ + 3726, + 7894 + ], + [ + 7217, + 10914 + ], + [ + 7585, + 8866 + ], + [ + 7751, + 10067 + ], + [ + 4219, + 4794 + ], + [ + 9480, + 11145 + ], + [ + 1326, + 9802 + ], + [ + 5529, + 10584 + ], + [ + 1645, + 11245 + ], + [ + 9078, + 11330 + ], + [ + 1852, + 2678 + ], + [ + 11, + 2887 + ], + [ + 9163, + 10879 + ], + [ + 2993, + 6969 + ], + [ + 5953, + 6566 + ], + [ + 1340, + 9858 + ], + [ + 75, + 7194 + ], + [ + 6324, + 8953 + ], + [ + 1002, + 6830 + ], + [ + 5795, + 9363 + ], + [ + 10055, + 10679 + ], + [ + 1841, + 4367 + ], + [ + 3983, + 8058 + ], + [ + 347, + 8067 + ], + [ + 5877, + 10893 + ], + [ + 7838, + 11540 + ], + [ + 5321, + 7228 + ], + [ + 4481, + 5302 + ], + [ + 966, + 1888 + ], + [ + 1499, + 4603 + ], + [ + 7378, + 7583 + ], + [ + 2077, + 10501 + ], + [ + 5418, + 9790 + ], + [ + 613, + 6496 + ], + [ + 5910, + 10252 + ], + [ + 4905, + 10733 + ], + [ + 5818, + 10663 + ], + [ + 6276, + 11514 + ], + [ + 2346, + 4660 + ], + [ + 5589, + 8332 + ], + [ + 1069, + 6897 + ], + [ + 4534, + 8696 + ], + [ + 1845, + 7118 + ], + [ + 4530, + 5544 + ], + [ + 2040, + 10969 + ], + [ + 729, + 7960 + ], + [ + 7198, + 7773 + ], + [ + 2678, + 4840 + ], + [ + 1227, + 5204 + ], + [ + 2490, + 11205 + ], + [ + 5418, + 8635 + ], + [ + 1501, + 7658 + ], + [ + 4795, + 6377 + ], + [ + 6135, + 10878 + ], + [ + 8740, + 9375 + ], + [ + 6506, + 6849 + ], + [ + 5604, + 8209 + ], + [ + 2392, + 4604 + ], + [ + 4355, + 6078 + ], + [ + 5005, + 7126 + ], + [ + 3327, + 9019 + ], + [ + 9082, + 9489 + ], + [ + 4352, + 5026 + ], + [ + 5217, + 8702 + ], + [ + 2572, + 6642 + ], + [ + 6615, + 10175 + ], + [ + 519, + 6406 + ], + [ + 1577, + 5559 + ], + [ + 1270, + 10512 + ], + [ + 4157, + 5689 + ], + [ + 2040, + 10164 + ], + [ + 1937, + 2869 + ], + [ + 3112, + 6771 + ], + [ + 4450, + 8193 + ], + [ + 847, + 4932 + ], + [ + 7777, + 9304 + ], + [ + 1687, + 5323 + ], + [ + 1146, + 8382 + ], + [ + 2517, + 5780 + ], + [ + 8903, + 10254 + ], + [ + 1214, + 6796 + ], + [ + 555, + 744 + ], + [ + 2604, + 7654 + ], + [ + 5102, + 6254 + ], + [ + 4842, + 11053 + ], + [ + 3486, + 9025 + ], + [ + 4692, + 8076 + ], + [ + 2006, + 10179 + ], + [ + 1209, + 9081 + ], + [ + 2594, + 3933 + ], + [ + 9701, + 11173 + ], + [ + 5398, + 6023 + ], + [ + 8209, + 9284 + ], + [ + 8727, + 10967 + ], + [ + 1387, + 7663 + ], + [ + 8078, + 10521 + ], + [ + 3317, + 10155 + ], + [ + 7854, + 10813 + ], + [ + 6147, + 7050 + ], + [ + 1355, + 5873 + ], + [ + 112, + 6940 + ], + [ + 10814, + 11164 + ], + [ + 6511, + 8266 + ], + [ + 2558, + 11042 + ], + [ + 6613, + 9674 + ], + [ + 684, + 8859 + ], + [ + 4832, + 9934 + ], + [ + 6, + 2757 + ], + [ + 2560, + 11088 + ], + [ + 3675, + 10775 + ], + [ + 1842, + 8593 + ], + [ + 2931, + 6305 + ], + [ + 493, + 2094 + ], + [ + 255, + 3434 + ], + [ + 685, + 8680 + ], + [ + 2240, + 6387 + ], + [ + 5040, + 10987 + ], + [ + 1169, + 2084 + ], + [ + 1175, + 3030 + ], + [ + 5404, + 5787 + ], + [ + 6826, + 9566 + ], + [ + 138, + 3973 + ], + [ + 3348, + 10915 + ], + [ + 9564, + 11036 + ], + [ + 2678, + 5458 + ], + [ + 5797, + 5866 + ], + [ + 4406, + 7035 + ], + [ + 8683, + 10240 + ], + [ + 8184, + 8607 + ], + [ + 4868, + 8786 + ], + [ + 7284, + 10794 + ], + [ + 6262, + 7888 + ], + [ + 4706, + 10710 + ], + [ + 3180, + 9991 + ], + [ + 380, + 3856 + ], + [ + 2398, + 9201 + ], + [ + 2960, + 11156 + ], + [ + 94, + 1772 + ], + [ + 961, + 3609 + ], + [ + 3041, + 3416 + ], + [ + 2242, + 8661 + ], + [ + 3480, + 9879 + ], + [ + 429, + 7131 + ], + [ + 8978, + 9757 + ], + [ + 5554, + 7959 + ], + [ + 2562, + 6572 + ], + [ + 3444, + 7189 + ], + [ + 8445, + 9671 + ], + [ + 7760, + 9568 + ], + [ + 7, + 10821 + ], + [ + 1279, + 1824 + ], + [ + 2694, + 11572 + ], + [ + 8793, + 10354 + ], + [ + 1978, + 3488 + ], + [ + 7107, + 8222 + ], + [ + 694, + 8718 + ], + [ + 6822, + 8238 + ], + [ + 5079, + 8982 + ], + [ + 1459, + 3862 + ], + [ + 1405, + 7009 + ], + [ + 2654, + 2724 + ], + [ + 3242, + 3648 + ], + [ + 654, + 2122 + ], + [ + 1499, + 10027 + ], + [ + 1083, + 7897 + ], + [ + 184, + 9528 + ], + [ + 6242, + 7555 + ], + [ + 10168, + 10503 + ], + [ + 767, + 2938 + ], + [ + 574, + 8959 + ], + [ + 54, + 7203 + ], + [ + 921, + 6788 + ], + [ + 2134, + 2846 + ], + [ + 4374, + 7072 + ], + [ + 141, + 9077 + ], + [ + 1514, + 7302 + ], + [ + 7665, + 8526 + ], + [ + 6889, + 9059 + ], + [ + 1697, + 9638 + ], + [ + 637, + 3996 + ], + [ + 2903, + 5279 + ], + [ + 1158, + 2944 + ], + [ + 3377, + 8545 + ], + [ + 600, + 10530 + ], + [ + 4335, + 9746 + ], + [ + 6983, + 9071 + ], + [ + 8994, + 9081 + ], + [ + 5009, + 9690 + ], + [ + 2371, + 2385 + ], + [ + 8440, + 11124 + ], + [ + 3433, + 8073 + ], + [ + 5164, + 9978 + ], + [ + 369, + 5120 + ], + [ + 1334, + 7492 + ], + [ + 10234, + 11099 + ], + [ + 6593, + 11518 + ], + [ + 2080, + 4838 + ], + [ + 4784, + 7478 + ], + [ + 5589, + 6185 + ], + [ + 1762, + 9632 + ], + [ + 2985, + 10542 + ], + [ + 1206, + 5213 + ], + [ + 1920, + 4556 + ], + [ + 6341, + 10893 + ], + [ + 1771, + 10849 + ], + [ + 3872, + 11533 + ], + [ + 9412, + 10883 + ], + [ + 6468, + 6504 + ], + [ + 6734, + 10595 + ], + [ + 3396, + 8571 + ], + [ + 5391, + 8048 + ], + [ + 4110, + 10543 + ], + [ + 443, + 5577 + ], + [ + 5603, + 9624 + ], + [ + 4147, + 9644 + ], + [ + 3206, + 5414 + ], + [ + 100, + 8621 + ], + [ + 2116, + 6723 + ], + [ + 784, + 9253 + ], + [ + 91, + 4371 + ], + [ + 5815, + 10446 + ], + [ + 3141, + 9900 + ], + [ + 1252, + 5157 + ], + [ + 5565, + 10271 + ], + [ + 2834, + 6185 + ], + [ + 5475, + 7345 + ], + [ + 361, + 2919 + ], + [ + 3886, + 5523 + ], + [ + 3719, + 6349 + ], + [ + 484, + 1040 + ], + [ + 3763, + 6621 + ], + [ + 3622, + 6416 + ], + [ + 3888, + 4815 + ], + [ + 6591, + 11017 + ], + [ + 204, + 8570 + ], + [ + 6554, + 11135 + ], + [ + 8823, + 9683 + ], + [ + 664, + 9494 + ], + [ + 425, + 810 + ], + [ + 855, + 6810 + ], + [ + 846, + 8976 + ], + [ + 630, + 1215 + ], + [ + 1280, + 2263 + ], + [ + 5354, + 7361 + ], + [ + 4641, + 9374 + ], + [ + 1121, + 1452 + ], + [ + 4419, + 4831 + ], + [ + 7130, + 10140 + ], + [ + 3305, + 7998 + ], + [ + 3243, + 7120 + ], + [ + 282, + 7298 + ], + [ + 2424, + 3819 + ], + [ + 6723, + 11479 + ], + [ + 2184, + 10748 + ], + [ + 1341, + 9305 + ], + [ + 1642, + 10199 + ], + [ + 5253, + 7659 + ], + [ + 2827, + 4963 + ], + [ + 1057, + 6513 + ], + [ + 1300, + 4019 + ], + [ + 7779, + 10936 + ], + [ + 8550, + 10813 + ], + [ + 1265, + 7216 + ], + [ + 7868, + 10227 + ], + [ + 6953, + 7218 + ], + [ + 6354, + 9518 + ], + [ + 9158, + 10854 + ], + [ + 1281, + 8099 + ], + [ + 4082, + 9918 + ], + [ + 2129, + 3470 + ], + [ + 1659, + 10903 + ], + [ + 6733, + 9514 + ], + [ + 4675, + 11186 + ], + [ + 480, + 10265 + ], + [ + 3548, + 9984 + ], + [ + 3493, + 3861 + ], + [ + 4176, + 9553 + ], + [ + 781, + 6995 + ], + [ + 571, + 3213 + ], + [ + 2584, + 4050 + ], + [ + 743, + 4259 + ], + [ + 595, + 1355 + ], + [ + 3864, + 5494 + ], + [ + 491, + 6667 + ], + [ + 59, + 594 + ], + [ + 3978, + 5781 + ], + [ + 9081, + 9294 + ], + [ + 1330, + 4204 + ], + [ + 1799, + 10132 + ], + [ + 3356, + 10164 + ], + [ + 672, + 2514 + ], + [ + 1210, + 3321 + ], + [ + 2488, + 10354 + ], + [ + 2256, + 4369 + ], + [ + 7369, + 8570 + ], + [ + 4222, + 6114 + ], + [ + 1051, + 2510 + ], + [ + 829, + 3629 + ], + [ + 2324, + 9199 + ], + [ + 7298, + 9858 + ], + [ + 4354, + 5479 + ], + [ + 6052, + 11408 + ], + [ + 6150, + 8533 + ], + [ + 2104, + 10364 + ], + [ + 9065, + 10639 + ], + [ + 1479, + 1644 + ], + [ + 3130, + 7727 + ], + [ + 7892, + 10947 + ], + [ + 3341, + 8701 + ], + [ + 2090, + 9153 + ], + [ + 1185, + 6832 + ], + [ + 3050, + 5519 + ], + [ + 4827, + 10021 + ], + [ + 2535, + 3353 + ], + [ + 2676, + 2834 + ], + [ + 3298, + 8250 + ], + [ + 3396, + 9539 + ], + [ + 9550, + 10280 + ], + [ + 3419, + 9708 + ], + [ + 5473, + 11300 + ], + [ + 6694, + 11383 + ], + [ + 3764, + 4458 + ], + [ + 2764, + 5283 + ], + [ + 9926, + 9978 + ], + [ + 8576, + 10424 + ], + [ + 5162, + 9314 + ], + [ + 634, + 2356 + ], + [ + 9515, + 11575 + ], + [ + 1878, + 7526 + ], + [ + 3179, + 3431 + ], + [ + 4097, + 6711 + ], + [ + 8603, + 11466 + ], + [ + 4988, + 10854 + ], + [ + 286, + 2023 + ], + [ + 5949, + 10074 + ], + [ + 1395, + 6776 + ], + [ + 10049, + 11108 + ], + [ + 5733, + 11358 + ], + [ + 3041, + 3847 + ], + [ + 184, + 10764 + ], + [ + 6751, + 11112 + ], + [ + 934, + 2594 + ], + [ + 4380, + 8123 + ], + [ + 1789, + 7080 + ], + [ + 1288, + 3122 + ], + [ + 2910, + 10719 + ], + [ + 2077, + 7712 + ], + [ + 4998, + 10387 + ], + [ + 4776, + 11506 + ], + [ + 2842, + 2856 + ], + [ + 672, + 4287 + ], + [ + 197, + 4960 + ], + [ + 1785, + 7311 + ], + [ + 4747, + 9987 + ], + [ + 3587, + 6393 + ], + [ + 3346, + 8216 + ], + [ + 570, + 977 + ], + [ + 3864, + 6112 + ], + [ + 1006, + 3759 + ], + [ + 7635, + 11401 + ], + [ + 999, + 6752 + ], + [ + 1090, + 8368 + ], + [ + 651, + 5288 + ], + [ + 2213, + 5664 + ], + [ + 1330, + 4822 + ], + [ + 7002, + 10707 + ], + [ + 3229, + 8755 + ], + [ + 8872, + 9738 + ], + [ + 5596, + 10844 + ], + [ + 4595, + 5809 + ], + [ + 7755, + 9224 + ], + [ + 300, + 7690 + ], + [ + 3286, + 8508 + ], + [ + 177, + 6536 + ], + [ + 8642, + 10215 + ], + [ + 120, + 6002 + ], + [ + 4812, + 7729 + ], + [ + 3819, + 8971 + ], + [ + 1587, + 9524 + ], + [ + 3998, + 4772 + ], + [ + 5551, + 8068 + ], + [ + 1798, + 7492 + ], + [ + 4279, + 10649 + ], + [ + 7727, + 9835 + ], + [ + 5748, + 8582 + ], + [ + 894, + 8025 + ], + [ + 450, + 11017 + ], + [ + 2697, + 5834 + ], + [ + 1950, + 10515 + ], + [ + 4863, + 6913 + ], + [ + 5238, + 6036 + ], + [ + 5243, + 7134 + ], + [ + 5079, + 5225 + ], + [ + 2155, + 10920 + ], + [ + 5364, + 8592 + ], + [ + 5455, + 7956 + ], + [ + 3082, + 4140 + ], + [ + 6519, + 10307 + ], + [ + 9587, + 10780 + ], + [ + 1027, + 10247 + ], + [ + 6004, + 8171 + ], + [ + 2611, + 5686 + ], + [ + 3211, + 10377 + ], + [ + 2141, + 9709 + ], + [ + 1494, + 5926 + ], + [ + 9393, + 10914 + ], + [ + 5222, + 8135 + ], + [ + 7128, + 8321 + ], + [ + 6400, + 11554 + ], + [ + 1018, + 9380 + ], + [ + 4421, + 10301 + ], + [ + 2580, + 9756 + ], + [ + 3299, + 9443 + ], + [ + 4477, + 6446 + ], + [ + 1798, + 3304 + ], + [ + 3417, + 4968 + ], + [ + 6345, + 8814 + ], + [ + 8704, + 10288 + ], + [ + 3532, + 4726 + ], + [ + 4342, + 10193 + ], + [ + 7334, + 9328 + ], + [ + 5804, + 6955 + ], + [ + 1661, + 6224 + ], + [ + 1912, + 3591 + ], + [ + 3226, + 11035 + ], + [ + 9974, + 10263 + ], + [ + 8391, + 9010 + ], + [ + 1567, + 10726 + ], + [ + 1409, + 2970 + ], + [ + 2289, + 9176 + ], + [ + 6, + 6034 + ], + [ + 391, + 6599 + ], + [ + 2182, + 8555 + ], + [ + 7765, + 8733 + ], + [ + 7049, + 9317 + ], + [ + 1228, + 9725 + ], + [ + 1120, + 6250 + ], + [ + 636, + 9813 + ], + [ + 7718, + 8917 + ], + [ + 1690, + 11476 + ], + [ + 3519, + 4090 + ], + [ + 509, + 7759 + ], + [ + 3515, + 6600 + ], + [ + 223, + 4921 + ], + [ + 3449, + 8232 + ], + [ + 11513, + 11567 + ], + [ + 4605, + 7920 + ], + [ + 1649, + 2026 + ], + [ + 1702, + 5824 + ], + [ + 4852, + 7797 + ], + [ + 528, + 8940 + ], + [ + 3317, + 9244 + ], + [ + 3907, + 6831 + ], + [ + 4044, + 6540 + ], + [ + 489, + 1815 + ], + [ + 308, + 10105 + ], + [ + 2321, + 4526 + ], + [ + 428, + 2293 + ], + [ + 2819, + 8186 + ], + [ + 927, + 8807 + ], + [ + 1283, + 10162 + ], + [ + 2461, + 7165 + ], + [ + 1280, + 9110 + ], + [ + 4329, + 8752 + ], + [ + 1440, + 4080 + ], + [ + 631, + 1467 + ], + [ + 3616, + 6601 + ], + [ + 4357, + 7013 + ], + [ + 2671, + 4881 + ], + [ + 2366, + 10661 + ], + [ + 5320, + 9312 + ], + [ + 338, + 1595 + ], + [ + 6523, + 8065 + ], + [ + 7529, + 11192 + ], + [ + 733, + 7786 + ], + [ + 3193, + 10066 + ], + [ + 7523, + 10623 + ], + [ + 6613, + 7958 + ], + [ + 641, + 2535 + ], + [ + 3753, + 8188 + ], + [ + 2822, + 11062 + ], + [ + 5711, + 9318 + ], + [ + 8388, + 9381 + ], + [ + 2060, + 2633 + ], + [ + 845, + 5748 + ], + [ + 5053, + 6874 + ], + [ + 8010, + 9960 + ], + [ + 9873, + 11230 + ], + [ + 2688, + 5585 + ], + [ + 1098, + 3161 + ], + [ + 1688, + 4158 + ], + [ + 3241, + 8952 + ], + [ + 94, + 4244 + ], + [ + 5598, + 7347 + ], + [ + 9061, + 9073 + ], + [ + 4388, + 5144 + ], + [ + 3331, + 8845 + ], + [ + 4547, + 9338 + ], + [ + 2926, + 4595 + ], + [ + 1548, + 6780 + ], + [ + 1109, + 9362 + ], + [ + 5107, + 7460 + ], + [ + 243, + 11133 + ], + [ + 3632, + 8958 + ], + [ + 1791, + 2751 + ], + [ + 6369, + 9826 + ], + [ + 9132, + 9663 + ], + [ + 7829, + 9925 + ], + [ + 3407, + 9779 + ], + [ + 3874, + 6212 + ], + [ + 1778, + 5148 + ], + [ + 4680, + 7773 + ], + [ + 7536, + 10053 + ], + [ + 2247, + 3906 + ], + [ + 3804, + 3938 + ], + [ + 6601, + 9021 + ], + [ + 4839, + 5551 + ], + [ + 8092, + 10685 + ], + [ + 2032, + 9579 + ], + [ + 4102, + 4534 + ], + [ + 7097, + 9602 + ], + [ + 1842, + 9455 + ], + [ + 10807, + 11205 + ], + [ + 3505, + 9913 + ], + [ + 361, + 3968 + ], + [ + 2836, + 7280 + ], + [ + 205, + 3428 + ], + [ + 4635, + 7599 + ], + [ + 2911, + 8393 + ], + [ + 7611, + 7729 + ], + [ + 5832, + 8816 + ], + [ + 4849, + 5084 + ], + [ + 2347, + 9748 + ], + [ + 795, + 1392 + ], + [ + 1789, + 8666 + ], + [ + 5682, + 9222 + ], + [ + 784, + 2731 + ], + [ + 7421, + 10988 + ], + [ + 6394, + 7738 + ], + [ + 7607, + 7960 + ], + [ + 1371, + 3430 + ], + [ + 6, + 2814 + ], + [ + 1031, + 5991 + ], + [ + 2703, + 10699 + ], + [ + 8685, + 11148 + ], + [ + 1873, + 7963 + ], + [ + 8497, + 11097 + ], + [ + 6976, + 10722 + ], + [ + 4262, + 10777 + ], + [ + 5566, + 6953 + ], + [ + 2489, + 9400 + ], + [ + 1856, + 9487 + ], + [ + 6529, + 7000 + ], + [ + 6561, + 11419 + ], + [ + 3691, + 10961 + ], + [ + 4663, + 8842 + ], + [ + 1707, + 9364 + ], + [ + 492, + 6063 + ], + [ + 5750, + 6481 + ], + [ + 5194, + 8478 + ], + [ + 1667, + 9965 + ], + [ + 6675, + 9454 + ], + [ + 21, + 9861 + ], + [ + 6991, + 7970 + ], + [ + 4584, + 8734 + ], + [ + 831, + 8912 + ], + [ + 2471, + 4283 + ], + [ + 5344, + 8422 + ], + [ + 10786, + 11401 + ], + [ + 6829, + 6888 + ], + [ + 7637, + 11528 + ], + [ + 1128, + 1736 + ], + [ + 7819, + 11010 + ], + [ + 3585, + 4499 + ], + [ + 1382, + 2784 + ], + [ + 1437, + 9661 + ], + [ + 2022, + 3898 + ], + [ + 572, + 700 + ], + [ + 2549, + 6044 + ], + [ + 2120, + 10068 + ], + [ + 4324, + 8221 + ], + [ + 2421, + 6798 + ], + [ + 688, + 8230 + ], + [ + 5972, + 9869 + ], + [ + 4914, + 11470 + ], + [ + 6593, + 6769 + ], + [ + 7193, + 8454 + ], + [ + 3511, + 8118 + ], + [ + 90, + 10755 + ], + [ + 7430, + 7643 + ], + [ + 5188, + 6754 + ], + [ + 520, + 3923 + ], + [ + 3131, + 5618 + ], + [ + 2785, + 4981 + ], + [ + 1981, + 6876 + ], + [ + 458, + 5674 + ], + [ + 5119, + 8088 + ], + [ + 5558, + 8889 + ], + [ + 174, + 9298 + ], + [ + 7354, + 11189 + ], + [ + 6917, + 8182 + ], + [ + 6423, + 7647 + ], + [ + 8482, + 8829 + ], + [ + 3088, + 9304 + ], + [ + 199, + 4632 + ], + [ + 3647, + 10988 + ], + [ + 1100, + 9463 + ], + [ + 6516, + 11221 + ], + [ + 2187, + 7102 + ], + [ + 1965, + 8975 + ], + [ + 2987, + 5465 + ], + [ + 6639, + 9342 + ], + [ + 7227, + 9512 + ], + [ + 8839, + 10005 + ], + [ + 66, + 2009 + ], + [ + 7213, + 11334 + ], + [ + 3240, + 9294 + ], + [ + 438, + 834 + ], + [ + 1479, + 7954 + ], + [ + 51, + 3606 + ], + [ + 23, + 8728 + ], + [ + 7553, + 11375 + ], + [ + 1524, + 4664 + ], + [ + 9631, + 10355 + ], + [ + 1728, + 8631 + ], + [ + 1328, + 4725 + ], + [ + 4368, + 8812 + ], + [ + 1126, + 6496 + ], + [ + 3092, + 5235 + ], + [ + 845, + 4756 + ], + [ + 5540, + 6000 + ], + [ + 5269, + 11364 + ], + [ + 1289, + 11563 + ], + [ + 2935, + 10886 + ], + [ + 411, + 4649 + ], + [ + 4204, + 8007 + ], + [ + 1437, + 11434 + ], + [ + 5042, + 9106 + ], + [ + 10484, + 11331 + ], + [ + 28, + 4884 + ], + [ + 8463, + 9852 + ], + [ + 3847, + 6457 + ], + [ + 6186, + 10662 + ], + [ + 8832, + 11412 + ], + [ + 2475, + 5424 + ], + [ + 1423, + 10223 + ], + [ + 6275, + 9199 + ], + [ + 5685, + 5950 + ], + [ + 6767, + 9661 + ], + [ + 232, + 11480 + ], + [ + 5846, + 6807 + ], + [ + 2006, + 3633 + ], + [ + 760, + 7435 + ], + [ + 6837, + 8902 + ], + [ + 3729, + 11282 + ], + [ + 1639, + 2119 + ], + [ + 2079, + 8807 + ], + [ + 1360, + 2704 + ], + [ + 4753, + 9353 + ], + [ + 276, + 4582 + ], + [ + 6678, + 9589 + ], + [ + 5551, + 6889 + ], + [ + 10378, + 10504 + ], + [ + 1164, + 2011 + ], + [ + 66, + 6465 + ], + [ + 5697, + 9343 + ], + [ + 1939, + 9177 + ], + [ + 3331, + 6698 + ], + [ + 8100, + 11089 + ], + [ + 1804, + 8760 + ], + [ + 5663, + 9732 + ], + [ + 4737, + 10698 + ], + [ + 1779, + 10393 + ], + [ + 377, + 5014 + ], + [ + 6199, + 7460 + ], + [ + 7376, + 8025 + ], + [ + 2014, + 6503 + ], + [ + 2358, + 7067 + ], + [ + 6349, + 8158 + ], + [ + 6780, + 9842 + ], + [ + 3043, + 4137 + ], + [ + 6248, + 6571 + ], + [ + 18, + 358 + ], + [ + 10789, + 11512 + ], + [ + 2312, + 6318 + ], + [ + 9037, + 10258 + ], + [ + 1468, + 5404 + ], + [ + 5327, + 6376 + ], + [ + 7484, + 11099 + ], + [ + 10096, + 10767 + ], + [ + 3957, + 6170 + ], + [ + 9898, + 10028 + ], + [ + 3, + 1174 + ], + [ + 4648, + 9471 + ], + [ + 5804, + 9159 + ], + [ + 5732, + 7593 + ], + [ + 6707, + 11407 + ], + [ + 7070, + 9015 + ], + [ + 938, + 5589 + ], + [ + 3051, + 3624 + ], + [ + 4585, + 9122 + ], + [ + 1156, + 6980 + ], + [ + 5483, + 10272 + ], + [ + 8814, + 8873 + ], + [ + 2615, + 10641 + ], + [ + 6357, + 11028 + ], + [ + 1405, + 7684 + ], + [ + 937, + 6118 + ], + [ + 7414, + 9956 + ], + [ + 2092, + 7833 + ], + [ + 2359, + 5733 + ], + [ + 5819, + 7188 + ], + [ + 9521, + 10428 + ], + [ + 3889, + 11489 + ], + [ + 4255, + 8614 + ], + [ + 2761, + 6652 + ], + [ + 390, + 7827 + ], + [ + 8048, + 9720 + ], + [ + 1446, + 9563 + ], + [ + 4589, + 4703 + ], + [ + 580, + 754 + ], + [ + 7331, + 10079 + ], + [ + 763, + 9506 + ], + [ + 880, + 10091 + ], + [ + 3813, + 8619 + ], + [ + 3154, + 7485 + ], + [ + 1591, + 9136 + ], + [ + 3776, + 6485 + ], + [ + 6924, + 8385 + ], + [ + 1589, + 6057 + ], + [ + 1496, + 10030 + ], + [ + 2528, + 7208 + ], + [ + 8684, + 8776 + ], + [ + 1621, + 8224 + ], + [ + 1404, + 10441 + ], + [ + 695, + 5026 + ], + [ + 5597, + 10535 + ], + [ + 5754, + 7486 + ], + [ + 1210, + 6411 + ], + [ + 1903, + 10539 + ], + [ + 1533, + 5344 + ], + [ + 2431, + 6494 + ], + [ + 1032, + 7802 + ], + [ + 60, + 7669 + ], + [ + 2228, + 6165 + ], + [ + 4416, + 9447 + ], + [ + 6284, + 7651 + ], + [ + 2571, + 5750 + ], + [ + 10265, + 10306 + ], + [ + 3381, + 11217 + ], + [ + 1260, + 2741 + ], + [ + 3223, + 4215 + ], + [ + 1144, + 5010 + ], + [ + 6030, + 9986 + ], + [ + 2503, + 11473 + ], + [ + 8353, + 9551 + ], + [ + 772, + 3152 + ], + [ + 77, + 8023 + ], + [ + 3545, + 10093 + ], + [ + 4375, + 6413 + ], + [ + 5861, + 7733 + ], + [ + 2977, + 10575 + ], + [ + 864, + 6124 + ], + [ + 1095, + 1361 + ], + [ + 3037, + 8374 + ], + [ + 4406, + 4945 + ], + [ + 10182, + 11210 + ], + [ + 6825, + 10634 + ], + [ + 5486, + 5577 + ], + [ + 6050, + 7605 + ], + [ + 2433, + 6166 + ], + [ + 287, + 5739 + ], + [ + 1684, + 8522 + ], + [ + 217, + 10635 + ], + [ + 348, + 730 + ], + [ + 7290, + 9623 + ], + [ + 843, + 7125 + ], + [ + 6787, + 8248 + ], + [ + 1649, + 8686 + ], + [ + 1496, + 6192 + ], + [ + 4732, + 10191 + ], + [ + 3674, + 4622 + ], + [ + 3109, + 9539 + ], + [ + 3945, + 9811 + ], + [ + 125, + 8013 + ], + [ + 4569, + 5474 + ], + [ + 3566, + 6782 + ], + [ + 6628, + 6656 + ], + [ + 7331, + 11502 + ], + [ + 511, + 4292 + ], + [ + 1918, + 7763 + ], + [ + 5056, + 8975 + ], + [ + 5584, + 11346 + ], + [ + 4433, + 9750 + ], + [ + 9565, + 10995 + ], + [ + 6803, + 8350 + ], + [ + 1858, + 6177 + ], + [ + 2500, + 3200 + ], + [ + 667, + 8188 + ], + [ + 7415, + 7416 + ], + [ + 166, + 9892 + ], + [ + 6394, + 7364 + ], + [ + 1846, + 8045 + ], + [ + 8780, + 10661 + ], + [ + 3064, + 9365 + ], + [ + 320, + 910 + ], + [ + 1034, + 6669 + ], + [ + 4172, + 7127 + ], + [ + 1677, + 6546 + ], + [ + 2578, + 11377 + ], + [ + 5642, + 8668 + ], + [ + 3390, + 7091 + ], + [ + 1844, + 8349 + ], + [ + 3015, + 4935 + ], + [ + 2643, + 9493 + ], + [ + 5475, + 7215 + ], + [ + 5000, + 7888 + ], + [ + 2613, + 10782 + ], + [ + 1354, + 1547 + ], + [ + 2322, + 9852 + ], + [ + 232, + 689 + ], + [ + 6186, + 9670 + ], + [ + 799, + 6398 + ], + [ + 7488, + 10681 + ], + [ + 4713, + 7831 + ], + [ + 1299, + 6721 + ], + [ + 979, + 5053 + ], + [ + 7548, + 9234 + ], + [ + 7582, + 8064 + ], + [ + 6763, + 11179 + ], + [ + 3497, + 10721 + ], + [ + 2385, + 11305 + ], + [ + 1604, + 4324 + ], + [ + 1941, + 7127 + ], + [ + 8878, + 9260 + ], + [ + 297, + 7850 + ], + [ + 5928, + 11482 + ], + [ + 2088, + 4144 + ], + [ + 2585, + 4196 + ], + [ + 2867, + 7292 + ], + [ + 2862, + 6948 + ], + [ + 3832, + 10418 + ], + [ + 1194, + 3113 + ], + [ + 2907, + 10074 + ], + [ + 6883, + 10133 + ], + [ + 1344, + 9473 + ], + [ + 3944, + 7626 + ], + [ + 8868, + 8922 + ], + [ + 24, + 2214 + ], + [ + 994, + 5684 + ], + [ + 2797, + 9155 + ], + [ + 5161, + 10973 + ], + [ + 87, + 284 + ], + [ + 86, + 6475 + ], + [ + 8587, + 9811 + ], + [ + 2888, + 5486 + ], + [ + 5374, + 8987 + ], + [ + 3877, + 6754 + ], + [ + 4659, + 10173 + ], + [ + 7544, + 10939 + ], + [ + 261, + 1753 + ], + [ + 3459, + 7180 + ], + [ + 2437, + 4274 + ], + [ + 1695, + 10053 + ], + [ + 1781, + 9073 + ], + [ + 291, + 3847 + ], + [ + 17, + 11192 + ], + [ + 6612, + 7926 + ], + [ + 1851, + 7560 + ], + [ + 9817, + 10360 + ], + [ + 1221, + 7164 + ], + [ + 8077, + 10621 + ], + [ + 1666, + 7780 + ], + [ + 5520, + 9162 + ], + [ + 4835, + 8305 + ], + [ + 413, + 8159 + ], + [ + 6323, + 7042 + ], + [ + 6101, + 8161 + ], + [ + 10748, + 10869 + ], + [ + 2680, + 10044 + ], + [ + 8380, + 11561 + ], + [ + 1307, + 6157 + ], + [ + 5727, + 9640 + ], + [ + 5073, + 11102 + ], + [ + 5321, + 8952 + ], + [ + 3674, + 5240 + ], + [ + 147, + 311 + ], + [ + 7433, + 9014 + ], + [ + 6373, + 9788 + ], + [ + 6718, + 10200 + ], + [ + 395, + 10212 + ], + [ + 6863, + 7171 + ], + [ + 155, + 9971 + ], + [ + 49, + 3159 + ], + [ + 1980, + 11511 + ], + [ + 2353, + 7555 + ], + [ + 2626, + 2991 + ], + [ + 907, + 8293 + ], + [ + 2283, + 6035 + ], + [ + 8630, + 11335 + ], + [ + 7800, + 7845 + ], + [ + 383, + 2631 + ], + [ + 2442, + 3813 + ], + [ + 1473, + 10367 + ], + [ + 74, + 10921 + ], + [ + 2992, + 7663 + ], + [ + 2770, + 8782 + ], + [ + 1717, + 6563 + ], + [ + 8155, + 11227 + ], + [ + 7167, + 11315 + ], + [ + 5973, + 8891 + ], + [ + 5601, + 7033 + ], + [ + 869, + 8159 + ], + [ + 5233, + 7546 + ], + [ + 7807, + 10894 + ], + [ + 5035, + 7561 + ], + [ + 7058, + 9086 + ], + [ + 1213, + 9100 + ], + [ + 6433, + 6782 + ], + [ + 9457, + 11090 + ], + [ + 5185, + 7505 + ], + [ + 8263, + 8666 + ], + [ + 2917, + 6149 + ], + [ + 3575, + 7058 + ], + [ + 710, + 1282 + ], + [ + 8860, + 10053 + ], + [ + 7799, + 10602 + ], + [ + 5854, + 9707 + ], + [ + 5668, + 10483 + ], + [ + 5086, + 7095 + ], + [ + 3212, + 11328 + ], + [ + 623, + 4696 + ], + [ + 5724, + 7382 + ], + [ + 3791, + 8002 + ], + [ + 3770, + 7125 + ], + [ + 3307, + 5149 + ], + [ + 3214, + 9122 + ], + [ + 9745, + 9813 + ], + [ + 7914, + 10710 + ], + [ + 1216, + 8593 + ], + [ + 3294, + 10579 + ], + [ + 780, + 5030 + ], + [ + 6318, + 7717 + ], + [ + 2639, + 5400 + ], + [ + 2425, + 11298 + ], + [ + 303, + 2597 + ], + [ + 7274, + 9976 + ], + [ + 6430, + 9062 + ], + [ + 3588, + 4236 + ], + [ + 4527, + 7639 + ], + [ + 6614, + 10869 + ], + [ + 1916, + 9327 + ], + [ + 2876, + 4939 + ], + [ + 4856, + 9800 + ], + [ + 1036, + 8002 + ], + [ + 3761, + 5103 + ], + [ + 6412, + 10361 + ], + [ + 414, + 5969 + ], + [ + 4271, + 10278 + ], + [ + 5947, + 8312 + ], + [ + 910, + 6550 + ], + [ + 2271, + 9676 + ], + [ + 34, + 2715 + ], + [ + 5481, + 10202 + ], + [ + 426, + 5979 + ], + [ + 3294, + 9774 + ], + [ + 8180, + 8334 + ], + [ + 5599, + 7979 + ], + [ + 998, + 5616 + ], + [ + 3007, + 9717 + ], + [ + 5063, + 11382 + ], + [ + 4562, + 6670 + ], + [ + 2136, + 3974 + ], + [ + 6676, + 8313 + ], + [ + 1288, + 5570 + ], + [ + 2721, + 10262 + ], + [ + 5305, + 7882 + ], + [ + 1846, + 2865 + ], + [ + 2441, + 11376 + ], + [ + 4929, + 8534 + ], + [ + 1008, + 6684 + ], + [ + 168, + 8922 + ], + [ + 1684, + 2537 + ], + [ + 319, + 2675 + ], + [ + 5606, + 7995 + ], + [ + 403, + 7284 + ], + [ + 905, + 8434 + ], + [ + 504, + 8090 + ], + [ + 4508, + 5279 + ], + [ + 3124, + 7619 + ], + [ + 7532, + 9587 + ], + [ + 1952, + 6674 + ], + [ + 1773, + 5211 + ], + [ + 3677, + 8734 + ], + [ + 3023, + 10196 + ], + [ + 3, + 6761 + ], + [ + 5246, + 6147 + ], + [ + 6632, + 10993 + ], + [ + 10863, + 11571 + ], + [ + 1354, + 2783 + ], + [ + 452, + 10559 + ], + [ + 457, + 10903 + ], + [ + 4259, + 11341 + ], + [ + 8428, + 11041 + ], + [ + 9085, + 9850 + ], + [ + 3388, + 5598 + ], + [ + 1485, + 4929 + ], + [ + 4757, + 8585 + ], + [ + 3169, + 6988 + ], + [ + 3004, + 8641 + ], + [ + 3468, + 7055 + ], + [ + 2162, + 4390 + ], + [ + 4252, + 11301 + ], + [ + 2093, + 6505 + ], + [ + 2745, + 4216 + ], + [ + 301, + 6576 + ], + [ + 1920, + 8240 + ], + [ + 2155, + 6602 + ], + [ + 10687, + 11503 + ], + [ + 379, + 11370 + ], + [ + 3715, + 10315 + ], + [ + 5484, + 8540 + ], + [ + 1869, + 3764 + ], + [ + 3178, + 6700 + ], + [ + 1397, + 4708 + ], + [ + 7470, + 10937 + ], + [ + 3466, + 6578 + ], + [ + 741, + 3091 + ], + [ + 3677, + 10962 + ], + [ + 4675, + 10064 + ], + [ + 7, + 63 + ], + [ + 7229, + 11225 + ], + [ + 651, + 3548 + ], + [ + 6593, + 11014 + ], + [ + 3350, + 5090 + ], + [ + 5500, + 8642 + ], + [ + 772, + 5006 + ], + [ + 4321, + 11414 + ], + [ + 806, + 3836 + ], + [ + 2131, + 11469 + ], + [ + 1849, + 1957 + ], + [ + 3009, + 8180 + ], + [ + 4279, + 5526 + ], + [ + 2350, + 9298 + ], + [ + 4370, + 4890 + ], + [ + 10383, + 11068 + ], + [ + 1571, + 6527 + ], + [ + 3279, + 6728 + ], + [ + 1187, + 3154 + ], + [ + 2843, + 3165 + ], + [ + 45, + 11443 + ], + [ + 4990, + 7200 + ], + [ + 2065, + 7035 + ], + [ + 946, + 9858 + ], + [ + 4430, + 5291 + ], + [ + 7413, + 9598 + ], + [ + 9180, + 11160 + ], + [ + 5102, + 10824 + ], + [ + 1349, + 11002 + ], + [ + 2865, + 11033 + ], + [ + 4508, + 10085 + ], + [ + 4575, + 5645 + ], + [ + 471, + 4088 + ], + [ + 2603, + 6337 + ], + [ + 1242, + 3211 + ], + [ + 1424, + 4945 + ], + [ + 7740, + 8680 + ], + [ + 4629, + 5127 + ], + [ + 2423, + 11065 + ], + [ + 3631, + 6779 + ], + [ + 6000, + 8941 + ], + [ + 7340, + 11190 + ], + [ + 4728, + 9270 + ], + [ + 3066, + 10942 + ], + [ + 6586, + 9038 + ], + [ + 1085, + 8862 + ], + [ + 4318, + 6928 + ], + [ + 541, + 7486 + ], + [ + 740, + 8827 + ], + [ + 759, + 8877 + ], + [ + 5771, + 5856 + ], + [ + 2626, + 4227 + ], + [ + 9237, + 11263 + ], + [ + 4282, + 8402 + ], + [ + 2446, + 8955 + ], + [ + 6522, + 8464 + ], + [ + 1259, + 1286 + ], + [ + 200, + 10576 + ], + [ + 2629, + 11291 + ], + [ + 5275, + 9789 + ], + [ + 385, + 8077 + ], + [ + 6611, + 10384 + ], + [ + 3275, + 9187 + ], + [ + 6477, + 7940 + ], + [ + 1556, + 10325 + ], + [ + 7690, + 8162 + ], + [ + 8808, + 11530 + ], + [ + 9095, + 10806 + ], + [ + 1122, + 7589 + ], + [ + 160, + 8898 + ], + [ + 277, + 3067 + ], + [ + 9185, + 10699 + ], + [ + 4039, + 10522 + ], + [ + 3705, + 4984 + ], + [ + 2856, + 5978 + ], + [ + 3133, + 8730 + ], + [ + 4258, + 9105 + ], + [ + 9294, + 10642 + ], + [ + 2047, + 7529 + ], + [ + 335, + 3422 + ], + [ + 467, + 5793 + ], + [ + 3010, + 9828 + ], + [ + 2912, + 6287 + ], + [ + 4095, + 4388 + ], + [ + 3138, + 6041 + ], + [ + 7804, + 8799 + ], + [ + 1421, + 1590 + ], + [ + 77, + 1851 + ], + [ + 3294, + 6554 + ], + [ + 2972, + 10475 + ], + [ + 2160, + 8345 + ], + [ + 5890, + 7217 + ], + [ + 6555, + 10051 + ], + [ + 5121, + 11550 + ], + [ + 2805, + 8268 + ], + [ + 1227, + 7359 + ], + [ + 3553, + 6441 + ], + [ + 1414, + 7185 + ], + [ + 1772, + 4449 + ], + [ + 4208, + 8587 + ], + [ + 1625, + 7405 + ], + [ + 7977, + 10797 + ], + [ + 3355, + 9085 + ], + [ + 9901, + 11562 + ], + [ + 5787, + 9317 + ], + [ + 4758, + 9404 + ], + [ + 5721, + 10949 + ], + [ + 2791, + 10440 + ], + [ + 3254, + 6000 + ], + [ + 3789, + 6509 + ], + [ + 6808, + 9719 + ], + [ + 6925, + 11058 + ], + [ + 3255, + 5821 + ], + [ + 1360, + 9177 + ], + [ + 598, + 6410 + ], + [ + 1043, + 7026 + ], + [ + 7271, + 10914 + ], + [ + 888, + 3705 + ], + [ + 2033, + 11148 + ], + [ + 10590, + 11383 + ], + [ + 3271, + 6704 + ], + [ + 11173, + 11209 + ], + [ + 8530, + 9976 + ], + [ + 8478, + 9786 + ], + [ + 9001, + 9561 + ], + [ + 5324, + 10323 + ], + [ + 1907, + 3280 + ], + [ + 1083, + 6051 + ], + [ + 780, + 2078 + ], + [ + 2795, + 3742 + ], + [ + 181, + 7411 + ], + [ + 9998, + 10690 + ], + [ + 8116, + 8646 + ], + [ + 10393, + 11219 + ], + [ + 5345, + 8167 + ], + [ + 123, + 7406 + ], + [ + 4577, + 5555 + ], + [ + 655, + 9896 + ], + [ + 560, + 6626 + ], + [ + 835, + 8551 + ], + [ + 6394, + 6453 + ], + [ + 1512, + 8012 + ], + [ + 6746, + 8036 + ], + [ + 1197, + 6688 + ], + [ + 6962, + 8600 + ], + [ + 6114, + 6813 + ], + [ + 4097, + 9240 + ], + [ + 2601, + 9861 + ], + [ + 2246, + 11390 + ], + [ + 2554, + 9291 + ], + [ + 5702, + 8939 + ], + [ + 3238, + 9923 + ], + [ + 8196, + 10049 + ], + [ + 6725, + 9037 + ], + [ + 1553, + 10645 + ], + [ + 7788, + 8534 + ], + [ + 6470, + 8518 + ], + [ + 5231, + 7075 + ], + [ + 6755, + 11131 + ], + [ + 6010, + 10223 + ], + [ + 6280, + 7640 + ], + [ + 3539, + 10036 + ], + [ + 2866, + 11448 + ], + [ + 4540, + 8655 + ], + [ + 10111, + 11482 + ], + [ + 5367, + 8841 + ], + [ + 3288, + 9636 + ], + [ + 1297, + 6868 + ], + [ + 3480, + 9806 + ], + [ + 7733, + 10705 + ], + [ + 4490, + 5535 + ], + [ + 5907, + 9694 + ], + [ + 6743, + 9966 + ], + [ + 8517, + 8535 + ], + [ + 697, + 1396 + ], + [ + 566, + 2633 + ], + [ + 4338, + 10776 + ], + [ + 1590, + 5585 + ], + [ + 1755, + 8096 + ], + [ + 1569, + 4708 + ], + [ + 9279, + 9797 + ], + [ + 10249, + 10261 + ], + [ + 1407, + 6632 + ], + [ + 3458, + 3789 + ], + [ + 2623, + 6371 + ], + [ + 2024, + 5288 + ], + [ + 8187, + 8781 + ], + [ + 722, + 9912 + ], + [ + 5942, + 7594 + ], + [ + 1427, + 10667 + ], + [ + 2110, + 8445 + ], + [ + 8560, + 10460 + ], + [ + 7316, + 8673 + ], + [ + 9393, + 11215 + ], + [ + 3020, + 4694 + ], + [ + 7302, + 10495 + ], + [ + 5415, + 11460 + ], + [ + 396, + 6894 + ], + [ + 7806, + 9439 + ], + [ + 1173, + 9969 + ], + [ + 2109, + 7439 + ], + [ + 2723, + 9584 + ], + [ + 5305, + 10541 + ], + [ + 131, + 8316 + ], + [ + 3312, + 6192 + ], + [ + 4181, + 6604 + ], + [ + 5591, + 9592 + ], + [ + 1818, + 8394 + ], + [ + 128, + 8018 + ], + [ + 389, + 6073 + ], + [ + 9062, + 10455 + ], + [ + 5521, + 8072 + ], + [ + 195, + 6207 + ], + [ + 1804, + 3019 + ], + [ + 410, + 8081 + ], + [ + 601, + 1233 + ], + [ + 7256, + 10096 + ], + [ + 1141, + 4395 + ], + [ + 2434, + 6798 + ], + [ + 784, + 3569 + ], + [ + 1343, + 5253 + ], + [ + 2330, + 5694 + ], + [ + 1299, + 10616 + ], + [ + 3262, + 5674 + ], + [ + 5512, + 10588 + ], + [ + 1703, + 2563 + ], + [ + 5956, + 7626 + ], + [ + 5843, + 7160 + ], + [ + 1729, + 7167 + ], + [ + 3563, + 9951 + ], + [ + 3571, + 10566 + ], + [ + 985, + 9867 + ], + [ + 9662, + 10985 + ], + [ + 5993, + 9356 + ], + [ + 2404, + 9965 + ], + [ + 1356, + 5084 + ], + [ + 3152, + 8138 + ], + [ + 1445, + 4375 + ], + [ + 4523, + 5536 + ], + [ + 4118, + 7702 + ], + [ + 2836, + 8841 + ], + [ + 6007, + 10193 + ], + [ + 1060, + 7193 + ], + [ + 5518, + 7750 + ], + [ + 7130, + 7489 + ], + [ + 1927, + 7532 + ], + [ + 1875, + 7342 + ], + [ + 1464, + 5556 + ], + [ + 6409, + 7729 + ], + [ + 505, + 6382 + ], + [ + 4180, + 5547 + ], + [ + 6943, + 11046 + ], + [ + 8787, + 11108 + ], + [ + 902, + 3574 + ], + [ + 1270, + 1526 + ], + [ + 9745, + 10057 + ], + [ + 4358, + 7539 + ], + [ + 2121, + 6994 + ], + [ + 3883, + 4048 + ], + [ + 7773, + 11503 + ], + [ + 5192, + 11148 + ], + [ + 3356, + 5285 + ], + [ + 1740, + 8056 + ], + [ + 2268, + 10427 + ], + [ + 2978, + 11526 + ], + [ + 5662, + 6344 + ], + [ + 870, + 11583 + ], + [ + 457, + 3308 + ], + [ + 2607, + 11024 + ], + [ + 7371, + 10153 + ], + [ + 2163, + 9098 + ], + [ + 671, + 7209 + ], + [ + 2630, + 4777 + ], + [ + 233, + 6983 + ], + [ + 7389, + 8480 + ], + [ + 8662, + 8753 + ], + [ + 6774, + 9116 + ], + [ + 4928, + 8981 + ], + [ + 5031, + 9860 + ], + [ + 2244, + 4741 + ], + [ + 1843, + 4397 + ], + [ + 4181, + 4994 + ], + [ + 2568, + 7282 + ], + [ + 8781, + 9384 + ], + [ + 1558, + 7419 + ], + [ + 5336, + 7463 + ], + [ + 4486, + 9013 + ], + [ + 2715, + 3545 + ], + [ + 11180, + 11388 + ], + [ + 2964, + 10665 + ], + [ + 2219, + 10511 + ], + [ + 3946, + 4346 + ], + [ + 248, + 1979 + ], + [ + 497, + 4935 + ], + [ + 1770, + 5208 + ], + [ + 11231, + 11326 + ], + [ + 4600, + 6267 + ], + [ + 3356, + 4480 + ], + [ + 4870, + 7848 + ], + [ + 2638, + 8401 + ], + [ + 1328, + 1830 + ], + [ + 8051, + 9107 + ], + [ + 2669, + 6933 + ], + [ + 4936, + 8818 + ], + [ + 979, + 4305 + ], + [ + 165, + 8518 + ], + [ + 4895, + 6565 + ], + [ + 9344, + 10786 + ], + [ + 4306, + 8422 + ], + [ + 725, + 6640 + ], + [ + 3304, + 10332 + ], + [ + 1351, + 3130 + ], + [ + 2944, + 5825 + ], + [ + 8844, + 9682 + ], + [ + 563, + 2148 + ], + [ + 2653, + 9059 + ], + [ + 3532, + 5995 + ], + [ + 4497, + 9121 + ], + [ + 1616, + 3586 + ], + [ + 313, + 4602 + ], + [ + 6249, + 8116 + ], + [ + 559, + 8041 + ], + [ + 3981, + 6760 + ], + [ + 9151, + 11495 + ], + [ + 8466, + 10638 + ], + [ + 7407, + 7850 + ], + [ + 1806, + 10476 + ], + [ + 1369, + 4059 + ], + [ + 517, + 4782 + ], + [ + 6776, + 7983 + ], + [ + 3280, + 4619 + ], + [ + 5026, + 7556 + ], + [ + 1452, + 9197 + ], + [ + 2971, + 6493 + ], + [ + 194, + 2816 + ], + [ + 572, + 1456 + ], + [ + 8264, + 9349 + ], + [ + 4871, + 7618 + ], + [ + 5079, + 7567 + ], + [ + 6013, + 11380 + ], + [ + 5459, + 7788 + ], + [ + 6481, + 6530 + ], + [ + 970, + 5666 + ], + [ + 4796, + 11416 + ], + [ + 6893, + 8918 + ], + [ + 1212, + 5953 + ], + [ + 1787, + 11523 + ], + [ + 9535, + 10680 + ], + [ + 317, + 1287 + ], + [ + 4487, + 10257 + ], + [ + 4045, + 9912 + ], + [ + 1185, + 3726 + ], + [ + 2714, + 8880 + ], + [ + 472, + 1575 + ], + [ + 7225, + 7563 + ], + [ + 1244, + 10722 + ], + [ + 1177, + 9500 + ], + [ + 2736, + 3943 + ], + [ + 2354, + 3649 + ], + [ + 1452, + 11425 + ], + [ + 2104, + 9136 + ], + [ + 803, + 10979 + ], + [ + 235, + 5045 + ], + [ + 9233, + 11439 + ], + [ + 1174, + 2786 + ], + [ + 202, + 2653 + ], + [ + 6153, + 7953 + ], + [ + 862, + 5143 + ], + [ + 9948, + 11384 + ], + [ + 10974, + 10999 + ], + [ + 630, + 11209 + ], + [ + 6920, + 9559 + ], + [ + 4086, + 8758 + ], + [ + 3112, + 8552 + ], + [ + 10150, + 10737 + ], + [ + 2314, + 10235 + ], + [ + 2376, + 4697 + ], + [ + 4172, + 6997 + ], + [ + 3587, + 4092 + ], + [ + 3730, + 10816 + ], + [ + 751, + 9634 + ], + [ + 7652, + 9858 + ], + [ + 3104, + 10539 + ], + [ + 91, + 10527 + ], + [ + 5227, + 10016 + ], + [ + 1679, + 6462 + ], + [ + 5848, + 6162 + ], + [ + 899, + 7253 + ], + [ + 3139, + 6561 + ], + [ + 5446, + 7845 + ], + [ + 3168, + 11463 + ], + [ + 831, + 8058 + ], + [ + 6187, + 9011 + ], + [ + 2093, + 8172 + ], + [ + 725, + 3875 + ], + [ + 1191, + 9532 + ], + [ + 790, + 2018 + ], + [ + 5115, + 5237 + ], + [ + 4617, + 10622 + ], + [ + 173, + 329 + ], + [ + 3681, + 6736 + ], + [ + 2031, + 3507 + ], + [ + 8591, + 9854 + ], + [ + 2465, + 3964 + ], + [ + 4183, + 11269 + ], + [ + 6600, + 10469 + ], + [ + 6660, + 10520 + ], + [ + 693, + 5441 + ], + [ + 4855, + 10386 + ], + [ + 7477, + 10742 + ], + [ + 6911, + 7887 + ], + [ + 9027, + 9603 + ], + [ + 3296, + 7275 + ], + [ + 5419, + 5998 + ], + [ + 584, + 3993 + ], + [ + 1614, + 10924 + ], + [ + 146, + 10183 + ], + [ + 6687, + 9310 + ], + [ + 1797, + 7598 + ], + [ + 2110, + 5843 + ], + [ + 372, + 2767 + ], + [ + 2827, + 11119 + ], + [ + 79, + 11590 + ], + [ + 6655, + 10526 + ], + [ + 549, + 1905 + ], + [ + 7962, + 10383 + ], + [ + 10720, + 11374 + ], + [ + 2786, + 7331 + ], + [ + 2201, + 4426 + ], + [ + 4097, + 4678 + ], + [ + 7201, + 10470 + ], + [ + 5088, + 6019 + ], + [ + 6519, + 9884 + ], + [ + 7453, + 11445 + ], + [ + 719, + 9671 + ], + [ + 507, + 11478 + ], + [ + 634, + 673 + ], + [ + 7354, + 10685 + ], + [ + 2996, + 5828 + ], + [ + 752, + 4112 + ], + [ + 5364, + 8519 + ], + [ + 787, + 10714 + ], + [ + 8629, + 8752 + ], + [ + 878, + 4416 + ], + [ + 2249, + 7476 + ], + [ + 3708, + 6973 + ], + [ + 4570, + 6214 + ], + [ + 6097, + 10541 + ], + [ + 467, + 8265 + ], + [ + 4971, + 10695 + ], + [ + 3762, + 4176 + ], + [ + 1172, + 6741 + ], + [ + 2937, + 7476 + ], + [ + 2822, + 6183 + ], + [ + 1905, + 6511 + ], + [ + 8011, + 8716 + ], + [ + 759, + 1095 + ], + [ + 1378, + 10000 + ], + [ + 1250, + 8502 + ], + [ + 5326, + 8011 + ], + [ + 2184, + 5145 + ], + [ + 348, + 9862 + ], + [ + 8567, + 10102 + ], + [ + 5298, + 5963 + ], + [ + 9525, + 11303 + ], + [ + 1657, + 6382 + ], + [ + 6292, + 6821 + ], + [ + 4329, + 6101 + ], + [ + 755, + 1326 + ], + [ + 878, + 10027 + ], + [ + 2865, + 5479 + ], + [ + 6432, + 6831 + ], + [ + 6478, + 7176 + ], + [ + 3649, + 9725 + ], + [ + 3862, + 4356 + ], + [ + 2052, + 3124 + ], + [ + 1398, + 4586 + ], + [ + 1519, + 6044 + ], + [ + 2768, + 8929 + ], + [ + 4936, + 6671 + ], + [ + 6961, + 9023 + ], + [ + 3980, + 11178 + ], + [ + 3256, + 5485 + ], + [ + 6154, + 10620 + ], + [ + 4276, + 10947 + ], + [ + 6896, + 8224 + ], + [ + 2288, + 5444 + ], + [ + 151, + 2127 + ], + [ + 2437, + 8950 + ], + [ + 5916, + 10455 + ], + [ + 6234, + 9044 + ], + [ + 2225, + 10757 + ], + [ + 1625, + 2656 + ], + [ + 2583, + 8775 + ], + [ + 5766, + 6724 + ], + [ + 2087, + 4407 + ], + [ + 2907, + 10562 + ], + [ + 8931, + 10513 + ], + [ + 9717, + 11422 + ], + [ + 2933, + 3115 + ], + [ + 70, + 418 + ], + [ + 3112, + 5332 + ], + [ + 10087, + 10201 + ], + [ + 4070, + 6533 + ], + [ + 3550, + 11193 + ], + [ + 1987, + 4176 + ], + [ + 2859, + 4105 + ], + [ + 216, + 2872 + ], + [ + 5061, + 7847 + ], + [ + 9078, + 10159 + ], + [ + 6898, + 10148 + ], + [ + 4914, + 8551 + ], + [ + 1108, + 10623 + ], + [ + 6710, + 10851 + ], + [ + 1108, + 4207 + ], + [ + 5925, + 7134 + ], + [ + 5744, + 8254 + ], + [ + 6329, + 11159 + ], + [ + 10938, + 11131 + ], + [ + 198, + 11341 + ], + [ + 640, + 5270 + ], + [ + 237, + 10515 + ], + [ + 13, + 10807 + ], + [ + 889, + 1810 + ], + [ + 393, + 4612 + ], + [ + 5836, + 8193 + ], + [ + 2971, + 8079 + ], + [ + 5885, + 8085 + ], + [ + 4109, + 8689 + ], + [ + 2330, + 3360 + ], + [ + 2806, + 3289 + ], + [ + 1366, + 3842 + ], + [ + 2014, + 8227 + ], + [ + 7287, + 10431 + ], + [ + 4198, + 8357 + ], + [ + 1426, + 11440 + ], + [ + 2321, + 2493 + ], + [ + 684, + 10803 + ], + [ + 5911, + 9656 + ], + [ + 3196, + 6103 + ], + [ + 2483, + 10368 + ], + [ + 456, + 11353 + ], + [ + 2102, + 10676 + ], + [ + 887, + 959 + ], + [ + 1201, + 2812 + ], + [ + 349, + 9951 + ], + [ + 1811, + 7467 + ], + [ + 3368, + 7499 + ], + [ + 3559, + 4815 + ], + [ + 295, + 1020 + ], + [ + 503, + 7385 + ], + [ + 5329, + 8146 + ], + [ + 2650, + 11420 + ], + [ + 8775, + 11423 + ], + [ + 2876, + 10420 + ], + [ + 7886, + 10736 + ], + [ + 8163, + 9324 + ], + [ + 313, + 10644 + ], + [ + 29, + 10885 + ], + [ + 836, + 10419 + ], + [ + 5230, + 8517 + ], + [ + 1456, + 9346 + ], + [ + 4195, + 10287 + ], + [ + 4570, + 9410 + ], + [ + 4064, + 11524 + ], + [ + 889, + 6266 + ], + [ + 3318, + 6981 + ], + [ + 1170, + 9891 + ], + [ + 950, + 1257 + ], + [ + 1849, + 6015 + ], + [ + 2136, + 9455 + ], + [ + 6840, + 8533 + ], + [ + 1888, + 5189 + ], + [ + 6585, + 7260 + ], + [ + 1130, + 9711 + ], + [ + 1968, + 4394 + ], + [ + 3297, + 7982 + ], + [ + 6540, + 6736 + ], + [ + 3183, + 11078 + ], + [ + 3647, + 9492 + ], + [ + 3707, + 9543 + ], + [ + 2181, + 2408 + ], + [ + 2420, + 4676 + ], + [ + 2218, + 7171 + ], + [ + 5912, + 10550 + ], + [ + 3758, + 6098 + ], + [ + 2868, + 8973 + ], + [ + 9674, + 11589 + ], + [ + 3227, + 9091 + ], + [ + 4142, + 6438 + ], + [ + 2270, + 4328 + ], + [ + 6192, + 9786 + ], + [ + 4222, + 7895 + ], + [ + 5407, + 6069 + ], + [ + 6644, + 6685 + ], + [ + 2134, + 10856 + ], + [ + 4273, + 7860 + ], + [ + 73, + 6595 + ], + [ + 1010, + 6919 + ], + [ + 3723, + 7393 + ], + [ + 4404, + 10006 + ], + [ + 5457, + 8815 + ], + [ + 5555, + 9350 + ], + [ + 1606, + 5452 + ], + [ + 1193, + 10009 + ], + [ + 3500, + 11293 + ], + [ + 5681, + 11152 + ], + [ + 7047, + 8206 + ], + [ + 5514, + 6316 + ], + [ + 2401, + 9106 + ], + [ + 11277, + 11565 + ], + [ + 2428, + 10929 + ], + [ + 4570, + 7450 + ], + [ + 5705, + 9267 + ], + [ + 566, + 3845 + ], + [ + 7788, + 8591 + ], + [ + 6596, + 6994 + ], + [ + 2743, + 9220 + ], + [ + 2492, + 5437 + ], + [ + 644, + 8639 + ], + [ + 80, + 195 + ], + [ + 3393, + 3852 + ], + [ + 2290, + 7962 + ], + [ + 5156, + 10930 + ], + [ + 115, + 2633 + ], + [ + 2262, + 5914 + ], + [ + 488, + 7345 + ], + [ + 2164, + 3127 + ], + [ + 2829, + 5207 + ], + [ + 4909, + 8020 + ], + [ + 3479, + 9261 + ], + [ + 3131, + 5545 + ], + [ + 2878, + 5099 + ], + [ + 2443, + 4390 + ], + [ + 8886, + 10152 + ], + [ + 4643, + 5053 + ], + [ + 8065, + 10188 + ], + [ + 8347, + 9120 + ], + [ + 7882, + 11235 + ], + [ + 5583, + 9812 + ], + [ + 4673, + 7147 + ], + [ + 8413, + 10871 + ], + [ + 6567, + 10736 + ], + [ + 759, + 9097 + ], + [ + 2335, + 3517 + ], + [ + 6543, + 8807 + ], + [ + 5793, + 8309 + ], + [ + 4045, + 4545 + ], + [ + 3365, + 4786 + ], + [ + 7905, + 8371 + ], + [ + 1985, + 3138 + ], + [ + 3139, + 8415 + ], + [ + 403, + 11155 + ], + [ + 721, + 9744 + ], + [ + 2206, + 8210 + ], + [ + 9494, + 11324 + ], + [ + 303, + 1125 + ], + [ + 1731, + 5473 + ], + [ + 10364, + 11180 + ], + [ + 340, + 10806 + ], + [ + 1085, + 4544 + ], + [ + 2332, + 10766 + ], + [ + 4064, + 9109 + ], + [ + 1726, + 2096 + ], + [ + 4253, + 5598 + ], + [ + 1352, + 5827 + ], + [ + 4096, + 7112 + ], + [ + 944, + 4312 + ], + [ + 3528, + 7594 + ], + [ + 947, + 7993 + ], + [ + 1640, + 5705 + ], + [ + 9100, + 9865 + ], + [ + 1782, + 5007 + ], + [ + 944, + 4662 + ], + [ + 1286, + 7809 + ], + [ + 164, + 11115 + ], + [ + 1434, + 7707 + ], + [ + 6046, + 7950 + ], + [ + 36, + 5453 + ], + [ + 2928, + 3226 + ], + [ + 5199, + 9017 + ], + [ + 5500, + 5747 + ], + [ + 8115, + 9096 + ], + [ + 1298, + 7819 + ], + [ + 2074, + 8040 + ], + [ + 6197, + 10748 + ], + [ + 5774, + 8201 + ], + [ + 6534, + 7889 + ], + [ + 5058, + 5779 + ], + [ + 4063, + 6948 + ], + [ + 8796, + 9430 + ], + [ + 4126, + 11434 + ], + [ + 136, + 10945 + ], + [ + 1664, + 6829 + ], + [ + 3818, + 4865 + ], + [ + 3227, + 10059 + ], + [ + 7293, + 8880 + ], + [ + 734, + 6141 + ], + [ + 1104, + 4920 + ], + [ + 1792, + 5294 + ], + [ + 4932, + 6579 + ], + [ + 1069, + 8117 + ], + [ + 3502, + 6322 + ], + [ + 1664, + 3796 + ], + [ + 2032, + 8164 + ], + [ + 5769, + 8207 + ], + [ + 2524, + 8626 + ], + [ + 471, + 10642 + ], + [ + 3315, + 3463 + ], + [ + 316, + 6567 + ], + [ + 4314, + 11081 + ], + [ + 1676, + 3806 + ], + [ + 4922, + 6241 + ], + [ + 3764, + 9890 + ], + [ + 6288, + 9711 + ], + [ + 5765, + 7684 + ], + [ + 534, + 11341 + ], + [ + 7282, + 10569 + ], + [ + 6110, + 11102 + ], + [ + 3586, + 4865 + ], + [ + 4109, + 6892 + ], + [ + 6311, + 7628 + ], + [ + 996, + 6676 + ], + [ + 10201, + 10919 + ], + [ + 5853, + 6750 + ], + [ + 11042, + 11535 + ], + [ + 4669, + 5014 + ], + [ + 6751, + 7900 + ], + [ + 3203, + 4346 + ], + [ + 5438, + 8228 + ], + [ + 3039, + 9607 + ], + [ + 357, + 2784 + ], + [ + 3501, + 11358 + ], + [ + 1887, + 4376 + ], + [ + 7554, + 9163 + ], + [ + 8137, + 8989 + ], + [ + 10105, + 10807 + ], + [ + 2010, + 6661 + ], + [ + 9795, + 9827 + ], + [ + 607, + 3309 + ], + [ + 504, + 2430 + ], + [ + 9266, + 10237 + ], + [ + 7086, + 10980 + ], + [ + 508, + 2549 + ], + [ + 2536, + 9336 + ], + [ + 609, + 3355 + ], + [ + 3054, + 3849 + ], + [ + 1156, + 3524 + ], + [ + 2594, + 6308 + ], + [ + 601, + 9129 + ], + [ + 5258, + 7637 + ], + [ + 4829, + 9409 + ], + [ + 314, + 6820 + ], + [ + 997, + 6096 + ], + [ + 2769, + 3838 + ], + [ + 1016, + 3894 + ], + [ + 331, + 3791 + ], + [ + 1992, + 4146 + ], + [ + 1744, + 10460 + ], + [ + 1271, + 8550 + ], + [ + 2391, + 7827 + ], + [ + 1553, + 7482 + ], + [ + 1331, + 2185 + ], + [ + 7640, + 11165 + ], + [ + 3419, + 8269 + ], + [ + 5527, + 5960 + ], + [ + 8708, + 8754 + ], + [ + 5525, + 5887 + ], + [ + 7090, + 9944 + ], + [ + 3699, + 4876 + ], + [ + 889, + 10885 + ], + [ + 1023, + 7667 + ], + [ + 1596, + 6805 + ], + [ + 2294, + 11277 + ], + [ + 2284, + 6425 + ], + [ + 5434, + 6900 + ], + [ + 4317, + 7140 + ], + [ + 9480, + 9950 + ], + [ + 5179, + 6381 + ], + [ + 74, + 2041 + ], + [ + 6732, + 11175 + ], + [ + 1042, + 8848 + ], + [ + 1107, + 9243 + ], + [ + 696, + 8211 + ], + [ + 5076, + 8131 + ], + [ + 659, + 8329 + ], + [ + 6596, + 9035 + ], + [ + 3994, + 7803 + ], + [ + 4667, + 6391 + ], + [ + 2117, + 8355 + ], + [ + 682, + 7000 + ], + [ + 5079, + 8779 + ], + [ + 1335, + 1903 + ], + [ + 1718, + 11467 + ], + [ + 5135, + 5678 + ], + [ + 9964, + 10120 + ], + [ + 9732, + 10551 + ], + [ + 5434, + 5745 + ], + [ + 2199, + 6852 + ], + [ + 588, + 3551 + ], + [ + 237, + 2570 + ], + [ + 5783, + 10036 + ], + [ + 8830, + 8878 + ], + [ + 8293, + 10925 + ], + [ + 9509, + 11418 + ], + [ + 6059, + 8399 + ], + [ + 5309, + 7147 + ], + [ + 171, + 7585 + ], + [ + 3596, + 5821 + ], + [ + 6674, + 11146 + ], + [ + 2652, + 7709 + ], + [ + 2968, + 9635 + ], + [ + 850, + 4840 + ], + [ + 10337, + 11425 + ], + [ + 1431, + 3839 + ], + [ + 3306, + 9630 + ], + [ + 3643, + 6017 + ], + [ + 2521, + 5159 + ], + [ + 2209, + 4106 + ], + [ + 5559, + 6921 + ], + [ + 2893, + 10400 + ], + [ + 1047, + 3849 + ], + [ + 2424, + 8609 + ], + [ + 7840, + 10367 + ], + [ + 3064, + 5559 + ], + [ + 8402, + 11568 + ], + [ + 7077, + 10381 + ], + [ + 1729, + 7037 + ], + [ + 1262, + 6073 + ], + [ + 1917, + 9717 + ], + [ + 7108, + 8913 + ], + [ + 453, + 3460 + ], + [ + 2882, + 6427 + ], + [ + 7412, + 9324 + ], + [ + 8499, + 11127 + ], + [ + 466, + 3695 + ], + [ + 1719, + 6699 + ], + [ + 3620, + 6541 + ], + [ + 7381, + 11142 + ], + [ + 1722, + 10380 + ], + [ + 375, + 6960 + ], + [ + 972, + 4964 + ], + [ + 5411, + 9251 + ], + [ + 3621, + 10149 + ], + [ + 4141, + 5489 + ], + [ + 930, + 5492 + ], + [ + 1497, + 11201 + ], + [ + 1595, + 7572 + ], + [ + 2586, + 9667 + ], + [ + 5884, + 8128 + ], + [ + 2794, + 6206 + ], + [ + 1185, + 2978 + ], + [ + 1204, + 7192 + ], + [ + 987, + 9409 + ], + [ + 10544, + 11071 + ], + [ + 2695, + 9610 + ], + [ + 1480, + 6309 + ], + [ + 2887, + 9780 + ], + [ + 7374, + 10321 + ], + [ + 3040, + 5858 + ], + [ + 3668, + 10345 + ], + [ + 275, + 3696 + ], + [ + 9263, + 9402 + ], + [ + 6646, + 7138 + ], + [ + 82, + 4055 + ], + [ + 1668, + 8989 + ], + [ + 111, + 2541 + ], + [ + 8644, + 10296 + ], + [ + 3899, + 4801 + ], + [ + 2224, + 3959 + ], + [ + 3091, + 9960 + ], + [ + 1847, + 8173 + ], + [ + 231, + 3774 + ], + [ + 6480, + 8539 + ], + [ + 138, + 3583 + ], + [ + 1106, + 10390 + ], + [ + 1006, + 6776 + ], + [ + 3396, + 7563 + ], + [ + 4275, + 4499 + ], + [ + 3296, + 10365 + ], + [ + 3120, + 7665 + ], + [ + 126, + 3199 + ], + [ + 4239, + 8225 + ], + [ + 5068, + 11490 + ], + [ + 1176, + 7372 + ], + [ + 3581, + 9945 + ], + [ + 2275, + 6526 + ], + [ + 80, + 6237 + ], + [ + 4518, + 10269 + ], + [ + 4611, + 7050 + ], + [ + 5624, + 5706 + ], + [ + 7243, + 7370 + ], + [ + 7057, + 10398 + ], + [ + 9333, + 10117 + ], + [ + 2630, + 3492 + ], + [ + 983, + 4698 + ], + [ + 838, + 8481 + ], + [ + 950, + 8722 + ], + [ + 5473, + 9674 + ], + [ + 6521, + 7385 + ], + [ + 604, + 1669 + ], + [ + 3790, + 4053 + ], + [ + 3939, + 7559 + ], + [ + 5156, + 10906 + ], + [ + 2496, + 7814 + ], + [ + 3158, + 3961 + ], + [ + 1322, + 4514 + ], + [ + 138, + 2778 + ], + [ + 3930, + 8944 + ], + [ + 7008, + 10105 + ], + [ + 3959, + 7430 + ], + [ + 5332, + 5655 + ], + [ + 1345, + 5437 + ], + [ + 8463, + 9860 + ], + [ + 1472, + 4458 + ], + [ + 9001, + 10667 + ], + [ + 6477, + 7436 + ], + [ + 462, + 4595 + ], + [ + 4049, + 7323 + ], + [ + 2517, + 2625 + ], + [ + 997, + 11520 + ], + [ + 1701, + 3005 + ], + [ + 2323, + 9175 + ], + [ + 2054, + 4032 + ], + [ + 2630, + 2687 + ], + [ + 4118, + 11223 + ], + [ + 8600, + 9168 + ], + [ + 1353, + 1891 + ], + [ + 3474, + 11121 + ], + [ + 5863, + 7519 + ], + [ + 3673, + 7574 + ], + [ + 2310, + 3621 + ], + [ + 4897, + 11338 + ], + [ + 4527, + 6143 + ], + [ + 7104, + 9008 + ], + [ + 711, + 1111 + ], + [ + 8908, + 9671 + ], + [ + 3337, + 4592 + ], + [ + 274, + 10909 + ], + [ + 4787, + 10419 + ], + [ + 602, + 10186 + ], + [ + 4203, + 10368 + ], + [ + 686, + 6881 + ], + [ + 2981, + 6650 + ], + [ + 1238, + 7394 + ], + [ + 1898, + 9130 + ], + [ + 6560, + 8736 + ], + [ + 8528, + 10554 + ], + [ + 741, + 3555 + ], + [ + 4192, + 9428 + ], + [ + 4904, + 11354 + ], + [ + 5778, + 7946 + ], + [ + 4312, + 7278 + ], + [ + 7791, + 8783 + ], + [ + 1942, + 7897 + ], + [ + 5741, + 8818 + ], + [ + 2508, + 4336 + ], + [ + 1919, + 10357 + ], + [ + 5491, + 7889 + ], + [ + 4627, + 5569 + ], + [ + 730, + 8277 + ], + [ + 7607, + 10359 + ], + [ + 4369, + 5533 + ], + [ + 8539, + 10339 + ], + [ + 6388, + 9568 + ], + [ + 2708, + 3643 + ], + [ + 4244, + 9968 + ], + [ + 2434, + 5326 + ], + [ + 8939, + 11212 + ], + [ + 2396, + 2590 + ], + [ + 6545, + 10683 + ], + [ + 2808, + 11394 + ], + [ + 1815, + 6220 + ], + [ + 6016, + 11093 + ], + [ + 2740, + 5783 + ], + [ + 472, + 10089 + ], + [ + 9615, + 10448 + ], + [ + 4551, + 6863 + ], + [ + 3391, + 10439 + ], + [ + 6665, + 8506 + ], + [ + 4418, + 7273 + ], + [ + 2761, + 10043 + ], + [ + 9576, + 10493 + ], + [ + 2793, + 5794 + ], + [ + 3352, + 7478 + ], + [ + 2106, + 9028 + ], + [ + 3381, + 5964 + ], + [ + 3847, + 5205 + ], + [ + 4652, + 6164 + ], + [ + 6708, + 7829 + ], + [ + 1548, + 4536 + ], + [ + 5744, + 8311 + ], + [ + 2141, + 5050 + ], + [ + 6057, + 6556 + ], + [ + 1516, + 11414 + ], + [ + 2787, + 9362 + ], + [ + 5767, + 9234 + ], + [ + 5793, + 8203 + ], + [ + 1192, + 5840 + ], + [ + 2472, + 10290 + ], + [ + 1883, + 9895 + ], + [ + 3934, + 7052 + ], + [ + 2786, + 11389 + ], + [ + 8574, + 8589 + ], + [ + 5488, + 10950 + ], + [ + 7945, + 8795 + ], + [ + 7569, + 10201 + ], + [ + 7557, + 8686 + ], + [ + 248, + 4695 + ], + [ + 2775, + 8197 + ], + [ + 7439, + 7876 + ], + [ + 527, + 6739 + ], + [ + 7899, + 8800 + ], + [ + 177, + 2950 + ], + [ + 1419, + 3910 + ], + [ + 2857, + 8946 + ], + [ + 2633, + 7740 + ], + [ + 3564, + 4866 + ], + [ + 1692, + 2756 + ], + [ + 2015, + 8859 + ], + [ + 1914, + 5020 + ], + [ + 1884, + 2145 + ], + [ + 511, + 2422 + ], + [ + 6825, + 10992 + ], + [ + 4053, + 7659 + ], + [ + 1374, + 6769 + ], + [ + 2994, + 11287 + ], + [ + 7044, + 9575 + ], + [ + 9031, + 9191 + ], + [ + 6316, + 6392 + ], + [ + 7286, + 9108 + ], + [ + 750, + 1657 + ], + [ + 502, + 1555 + ], + [ + 1804, + 9736 + ], + [ + 4015, + 8306 + ], + [ + 6165, + 9606 + ], + [ + 4542, + 11206 + ], + [ + 3, + 3305 + ], + [ + 2360, + 10368 + ], + [ + 6415, + 9000 + ], + [ + 1403, + 5605 + ], + [ + 498, + 7448 + ], + [ + 369, + 5348 + ], + [ + 2143, + 3917 + ], + [ + 1456, + 9403 + ], + [ + 10174, + 10522 + ], + [ + 7625, + 8924 + ], + [ + 4139, + 6248 + ], + [ + 1855, + 3635 + ], + [ + 1791, + 1930 + ], + [ + 4678, + 9939 + ], + [ + 2665, + 2686 + ], + [ + 6453, + 11362 + ], + [ + 1286, + 6898 + ], + [ + 950, + 11113 + ], + [ + 6638, + 11115 + ], + [ + 3565, + 3882 + ], + [ + 3873, + 8199 + ], + [ + 9750, + 10352 + ], + [ + 566, + 1324 + ], + [ + 5586, + 8744 + ], + [ + 7076, + 7554 + ], + [ + 1193, + 7838 + ], + [ + 976, + 9301 + ], + [ + 749, + 3660 + ], + [ + 2930, + 6525 + ], + [ + 848, + 3639 + ], + [ + 447, + 3295 + ], + [ + 2274, + 11324 + ], + [ + 5693, + 6362 + ], + [ + 10082, + 10532 + ], + [ + 380, + 4702 + ], + [ + 5402, + 8815 + ], + [ + 2914, + 4487 + ], + [ + 5415, + 6768 + ], + [ + 2015, + 10282 + ], + [ + 5840, + 6008 + ], + [ + 5100, + 5444 + ], + [ + 2914, + 7870 + ], + [ + 8051, + 10213 + ], + [ + 1446, + 4123 + ], + [ + 1977, + 4513 + ], + [ + 975, + 2259 + ], + [ + 412, + 3085 + ], + [ + 2753, + 7363 + ], + [ + 1158, + 11011 + ], + [ + 3835, + 11074 + ], + [ + 876, + 1499 + ], + [ + 161, + 9101 + ], + [ + 7193, + 8088 + ], + [ + 477, + 11027 + ], + [ + 1600, + 10575 + ], + [ + 5697, + 8709 + ], + [ + 8162, + 11333 + ], + [ + 5882, + 7708 + ], + [ + 1309, + 1731 + ], + [ + 7038, + 7396 + ], + [ + 7227, + 10301 + ], + [ + 3302, + 10961 + ], + [ + 2578, + 4514 + ], + [ + 6129, + 8339 + ], + [ + 5284, + 10233 + ], + [ + 2137, + 7023 + ], + [ + 2045, + 7434 + ], + [ + 3166, + 11073 + ], + [ + 7581, + 7796 + ], + [ + 3941, + 11069 + ], + [ + 2035, + 3713 + ], + [ + 5837, + 10567 + ], + [ + 1169, + 7736 + ], + [ + 3837, + 9965 + ], + [ + 3529, + 5648 + ], + [ + 3555, + 4617 + ], + [ + 4370, + 10428 + ], + [ + 2427, + 3944 + ], + [ + 2034, + 9877 + ], + [ + 8727, + 9398 + ], + [ + 2999, + 5833 + ], + [ + 5979, + 9869 + ], + [ + 2744, + 10976 + ], + [ + 9153, + 10738 + ], + [ + 715, + 9636 + ], + [ + 997, + 8568 + ], + [ + 3801, + 8406 + ], + [ + 9248, + 10975 + ], + [ + 401, + 7002 + ], + [ + 6812, + 7591 + ], + [ + 7942, + 8310 + ], + [ + 7873, + 10425 + ], + [ + 2740, + 11207 + ], + [ + 33, + 6017 + ], + [ + 7089, + 9562 + ], + [ + 6834, + 8289 + ], + [ + 4815, + 9889 + ], + [ + 3571, + 8102 + ], + [ + 1450, + 3036 + ], + [ + 2757, + 9309 + ], + [ + 714, + 5597 + ], + [ + 3855, + 11244 + ], + [ + 3839, + 9987 + ], + [ + 1351, + 5659 + ], + [ + 2811, + 8764 + ], + [ + 3220, + 6717 + ], + [ + 722, + 2455 + ], + [ + 2406, + 10930 + ], + [ + 658, + 4914 + ], + [ + 8187, + 11123 + ], + [ + 5293, + 6107 + ], + [ + 1430, + 7645 + ], + [ + 2369, + 2380 + ], + [ + 4053, + 10855 + ], + [ + 994, + 4082 + ], + [ + 5014, + 10075 + ], + [ + 3175, + 3941 + ], + [ + 5162, + 5809 + ], + [ + 2121, + 7913 + ], + [ + 189, + 6506 + ], + [ + 3580, + 11574 + ], + [ + 10235, + 10611 + ], + [ + 7124, + 7812 + ], + [ + 8175, + 9204 + ], + [ + 4761, + 8848 + ], + [ + 5126, + 7283 + ], + [ + 8498, + 8891 + ], + [ + 1793, + 5603 + ], + [ + 118, + 11177 + ], + [ + 3855, + 7056 + ], + [ + 5397, + 6056 + ], + [ + 205, + 9641 + ], + [ + 3880, + 8052 + ], + [ + 4845, + 8926 + ], + [ + 3625, + 6779 + ], + [ + 1003, + 10587 + ], + [ + 7983, + 9384 + ], + [ + 5965, + 8203 + ], + [ + 2405, + 3134 + ], + [ + 4957, + 8386 + ], + [ + 8699, + 8773 + ], + [ + 5268, + 9968 + ], + [ + 5574, + 7042 + ], + [ + 2876, + 6102 + ], + [ + 1666, + 9561 + ], + [ + 3087, + 10486 + ], + [ + 7070, + 9804 + ], + [ + 4026, + 8227 + ], + [ + 1156, + 7769 + ], + [ + 779, + 5567 + ], + [ + 8241, + 9800 + ], + [ + 156, + 6342 + ], + [ + 4299, + 7073 + ], + [ + 720, + 8370 + ], + [ + 431, + 8267 + ], + [ + 5226, + 6709 + ], + [ + 682, + 5634 + ], + [ + 5358, + 9080 + ], + [ + 558, + 3878 + ], + [ + 6103, + 7736 + ], + [ + 803, + 7092 + ], + [ + 1548, + 1584 + ], + [ + 3970, + 6790 + ], + [ + 763, + 3529 + ], + [ + 7684, + 11545 + ], + [ + 8570, + 8928 + ], + [ + 2068, + 6723 + ], + [ + 7052, + 8070 + ], + [ + 5436, + 10841 + ], + [ + 7143, + 8188 + ], + [ + 3194, + 3536 + ], + [ + 8572, + 8974 + ], + [ + 2011, + 9572 + ], + [ + 2438, + 4721 + ], + [ + 3162, + 8916 + ], + [ + 4126, + 7653 + ], + [ + 7321, + 9399 + ], + [ + 2242, + 4782 + ], + [ + 4461, + 7377 + ], + [ + 6319, + 7145 + ], + [ + 4915, + 10738 + ], + [ + 1713, + 5569 + ], + [ + 252, + 5245 + ], + [ + 4980, + 9635 + ], + [ + 2549, + 5841 + ], + [ + 6621, + 7860 + ], + [ + 3004, + 6421 + ], + [ + 6154, + 9148 + ], + [ + 3841, + 3885 + ], + [ + 8012, + 10047 + ], + [ + 8545, + 10510 + ], + [ + 1199, + 8889 + ], + [ + 5307, + 11319 + ], + [ + 1685, + 2366 + ], + [ + 4792, + 8429 + ], + [ + 905, + 5409 + ], + [ + 2871, + 10564 + ], + [ + 1613, + 10599 + ], + [ + 441, + 3962 + ], + [ + 4942, + 8373 + ], + [ + 1368, + 10768 + ], + [ + 4267, + 8958 + ], + [ + 11149, + 11384 + ], + [ + 3513, + 10970 + ], + [ + 7222, + 8965 + ], + [ + 3762, + 7510 + ], + [ + 2707, + 6376 + ], + [ + 5074, + 7711 + ], + [ + 4007, + 11478 + ], + [ + 4191, + 6869 + ], + [ + 2921, + 10277 + ], + [ + 5370, + 7480 + ], + [ + 8166, + 9709 + ], + [ + 9439, + 9982 + ], + [ + 2283, + 9239 + ], + [ + 3778, + 8393 + ], + [ + 2195, + 7140 + ], + [ + 879, + 3033 + ], + [ + 5051, + 9420 + ], + [ + 548, + 7592 + ], + [ + 6140, + 7132 + ], + [ + 6676, + 7866 + ], + [ + 480, + 2735 + ], + [ + 3335, + 11206 + ], + [ + 107, + 7068 + ], + [ + 878, + 6945 + ], + [ + 899, + 1406 + ], + [ + 6542, + 11434 + ], + [ + 2927, + 6658 + ], + [ + 2832, + 9804 + ], + [ + 6158, + 8061 + ], + [ + 2235, + 9548 + ], + [ + 3539, + 4970 + ], + [ + 560, + 10204 + ], + [ + 7623, + 8504 + ], + [ + 9555, + 10665 + ], + [ + 6009, + 7938 + ], + [ + 1735, + 7690 + ], + [ + 3044, + 10626 + ], + [ + 5967, + 7712 + ], + [ + 5556, + 6680 + ], + [ + 5067, + 9899 + ], + [ + 2696, + 6910 + ], + [ + 265, + 3870 + ], + [ + 3382, + 10621 + ], + [ + 4657, + 5305 + ], + [ + 1019, + 5241 + ], + [ + 8790, + 10983 + ], + [ + 3136, + 10565 + ], + [ + 323, + 10641 + ], + [ + 3966, + 10268 + ], + [ + 2435, + 5041 + ], + [ + 1413, + 6299 + ], + [ + 4735, + 9318 + ], + [ + 1218, + 5077 + ], + [ + 9810, + 10783 + ], + [ + 2189, + 9149 + ], + [ + 775, + 4507 + ], + [ + 5709, + 6491 + ], + [ + 3889, + 5325 + ], + [ + 2803, + 10540 + ], + [ + 3949, + 5376 + ], + [ + 3202, + 10811 + ], + [ + 103, + 2357 + ], + [ + 4320, + 7763 + ], + [ + 2365, + 3898 + ], + [ + 4162, + 9806 + ], + [ + 3508, + 11268 + ], + [ + 1581, + 9451 + ], + [ + 3821, + 9513 + ], + [ + 2665, + 7573 + ], + [ + 2919, + 10873 + ], + [ + 10114, + 11544 + ], + [ + 4875, + 8924 + ], + [ + 6463, + 11275 + ], + [ + 2972, + 8255 + ], + [ + 213, + 9291 + ], + [ + 3222, + 5397 + ], + [ + 7389, + 11440 + ], + [ + 7707, + 10029 + ], + [ + 1759, + 9164 + ], + [ + 1754, + 4656 + ], + [ + 9573, + 11570 + ], + [ + 5184, + 7400 + ], + [ + 426, + 7305 + ], + [ + 46, + 668 + ], + [ + 8977, + 10004 + ], + [ + 4366, + 6953 + ], + [ + 4312, + 10100 + ], + [ + 6824, + 8406 + ], + [ + 3128, + 9118 + ], + [ + 884, + 11566 + ], + [ + 934, + 4513 + ], + [ + 2551, + 5350 + ], + [ + 1560, + 1757 + ], + [ + 9775, + 10923 + ], + [ + 10303, + 11042 + ], + [ + 7350, + 11081 + ], + [ + 4924, + 8385 + ], + [ + 7871, + 10029 + ], + [ + 3053, + 9883 + ], + [ + 646, + 11401 + ], + [ + 395, + 1202 + ], + [ + 7934, + 8099 + ], + [ + 2571, + 2969 + ], + [ + 5714, + 8689 + ], + [ + 3976, + 6367 + ], + [ + 60, + 1855 + ], + [ + 9211, + 9245 + ], + [ + 2349, + 8225 + ], + [ + 3285, + 5695 + ], + [ + 6465, + 10516 + ], + [ + 4308, + 9176 + ], + [ + 6667, + 10650 + ], + [ + 4404, + 8884 + ], + [ + 8602, + 10076 + ], + [ + 6107, + 8741 + ], + [ + 2461, + 8816 + ], + [ + 2653, + 8986 + ], + [ + 7417, + 8115 + ], + [ + 4549, + 9238 + ], + [ + 6596, + 8905 + ], + [ + 2220, + 9104 + ], + [ + 191, + 10016 + ], + [ + 495, + 10427 + ], + [ + 5686, + 9623 + ], + [ + 2456, + 11074 + ], + [ + 1985, + 2821 + ], + [ + 488, + 2840 + ], + [ + 4939, + 7888 + ], + [ + 7053, + 9531 + ], + [ + 2636, + 7477 + ], + [ + 311, + 11249 + ], + [ + 2282, + 5444 + ], + [ + 1943, + 5978 + ], + [ + 79, + 4483 + ], + [ + 9788, + 9949 + ], + [ + 2572, + 2739 + ], + [ + 1450, + 6045 + ], + [ + 3038, + 8396 + ], + [ + 1254, + 1969 + ], + [ + 4065, + 5230 + ], + [ + 379, + 8158 + ], + [ + 3966, + 10886 + ], + [ + 4594, + 11209 + ], + [ + 2997, + 4608 + ], + [ + 2224, + 8822 + ], + [ + 4079, + 5286 + ], + [ + 3800, + 5871 + ], + [ + 3141, + 6989 + ], + [ + 3206, + 5886 + ], + [ + 3758, + 6399 + ], + [ + 7495, + 9071 + ], + [ + 1929, + 4336 + ], + [ + 1958, + 9992 + ], + [ + 5499, + 5959 + ], + [ + 146, + 8687 + ], + [ + 211, + 6830 + ], + [ + 2539, + 2575 + ], + [ + 765, + 1754 + ], + [ + 2915, + 5306 + ], + [ + 2442, + 2642 + ], + [ + 5155, + 8778 + ], + [ + 6247, + 6761 + ], + [ + 10037, + 10602 + ], + [ + 2064, + 6631 + ], + [ + 2523, + 11117 + ], + [ + 4768, + 11523 + ], + [ + 6418, + 8336 + ], + [ + 10533, + 11183 + ], + [ + 10111, + 11490 + ], + [ + 570, + 8052 + ], + [ + 2173, + 3541 + ], + [ + 6532, + 9754 + ], + [ + 3043, + 6780 + ], + [ + 3170, + 8053 + ], + [ + 926, + 11255 + ], + [ + 7994, + 9899 + ], + [ + 582, + 5029 + ], + [ + 3037, + 6211 + ], + [ + 5194, + 10934 + ], + [ + 681, + 4254 + ], + [ + 1511, + 11127 + ], + [ + 6234, + 8003 + ], + [ + 3058, + 4055 + ], + [ + 5083, + 6407 + ], + [ + 6113, + 9928 + ], + [ + 4024, + 10035 + ], + [ + 4591, + 9328 + ], + [ + 472, + 2575 + ], + [ + 819, + 6820 + ], + [ + 3012, + 4060 + ], + [ + 711, + 5974 + ], + [ + 4707, + 9661 + ], + [ + 1519, + 10614 + ], + [ + 7938, + 11064 + ], + [ + 890, + 994 + ], + [ + 4690, + 11185 + ], + [ + 4998, + 9086 + ], + [ + 5810, + 8964 + ], + [ + 839, + 7822 + ], + [ + 4566, + 7177 + ], + [ + 2503, + 8505 + ], + [ + 9820, + 10105 + ], + [ + 2855, + 5924 + ], + [ + 948, + 7765 + ], + [ + 2591, + 7571 + ], + [ + 7356, + 8056 + ], + [ + 6485, + 10981 + ], + [ + 4243, + 10092 + ], + [ + 5516, + 11119 + ], + [ + 4926, + 7870 + ], + [ + 856, + 11559 + ], + [ + 199, + 7088 + ], + [ + 753, + 8428 + ], + [ + 6721, + 10699 + ], + [ + 129, + 11230 + ], + [ + 3460, + 10585 + ], + [ + 1867, + 3726 + ], + [ + 6729, + 8308 + ], + [ + 1065, + 3038 + ], + [ + 6166, + 9134 + ], + [ + 8005, + 8852 + ], + [ + 2222, + 5580 + ], + [ + 1150, + 8249 + ], + [ + 3545, + 5970 + ], + [ + 6067, + 8374 + ], + [ + 2387, + 3203 + ], + [ + 4632, + 7773 + ], + [ + 4105, + 10508 + ], + [ + 2261, + 4784 + ], + [ + 3785, + 8840 + ], + [ + 2732, + 3615 + ], + [ + 6465, + 9174 + ], + [ + 2518, + 5349 + ], + [ + 3724, + 10816 + ], + [ + 1262, + 6211 + ], + [ + 2356, + 11437 + ], + [ + 7177, + 11100 + ], + [ + 6585, + 7024 + ], + [ + 8990, + 9597 + ], + [ + 6035, + 6557 + ], + [ + 421, + 4814 + ], + [ + 116, + 4178 + ], + [ + 169, + 7222 + ], + [ + 855, + 10933 + ], + [ + 2914, + 5699 + ], + [ + 4502, + 8050 + ], + [ + 4588, + 7070 + ], + [ + 9753, + 11461 + ], + [ + 505, + 6390 + ], + [ + 1098, + 7658 + ], + [ + 1502, + 5267 + ], + [ + 4611, + 7993 + ], + [ + 3403, + 5863 + ], + [ + 3616, + 6910 + ], + [ + 2900, + 10904 + ], + [ + 1838, + 10851 + ], + [ + 4353, + 10586 + ], + [ + 2871, + 9385 + ], + [ + 2151, + 6063 + ], + [ + 4162, + 10237 + ], + [ + 337, + 8095 + ], + [ + 2295, + 2809 + ], + [ + 1183, + 6803 + ], + [ + 2172, + 10323 + ], + [ + 3287, + 3594 + ], + [ + 4125, + 4693 + ], + [ + 174, + 9794 + ], + [ + 1306, + 4924 + ], + [ + 8144, + 10461 + ], + [ + 5692, + 8796 + ], + [ + 1014, + 4523 + ], + [ + 171, + 3080 + ], + [ + 4061, + 4119 + ], + [ + 5776, + 7743 + ], + [ + 6235, + 11475 + ], + [ + 9454, + 9835 + ], + [ + 1255, + 11001 + ], + [ + 5639, + 8411 + ], + [ + 2846, + 10617 + ], + [ + 2973, + 5474 + ], + [ + 9278, + 10548 + ], + [ + 3648, + 8272 + ], + [ + 2643, + 8753 + ], + [ + 7025, + 9500 + ], + [ + 6135, + 8211 + ], + [ + 4485, + 5736 + ], + [ + 870, + 4370 + ], + [ + 7337, + 10526 + ], + [ + 85, + 653 + ], + [ + 5855, + 9325 + ], + [ + 7687, + 11282 + ], + [ + 2083, + 10227 + ], + [ + 3966, + 8739 + ], + [ + 8647, + 11031 + ], + [ + 767, + 3841 + ], + [ + 2857, + 6588 + ], + [ + 2723, + 4144 + ], + [ + 825, + 7229 + ], + [ + 10415, + 11283 + ], + [ + 1917, + 5212 + ], + [ + 5093, + 6908 + ], + [ + 2937, + 5793 + ], + [ + 509, + 8686 + ], + [ + 4218, + 6681 + ], + [ + 9373, + 9630 + ], + [ + 6052, + 9465 + ], + [ + 1809, + 11536 + ], + [ + 3624, + 5942 + ], + [ + 4278, + 4480 + ], + [ + 7502, + 11128 + ], + [ + 3087, + 5737 + ], + [ + 2774, + 4459 + ], + [ + 716, + 6131 + ], + [ + 7340, + 10019 + ], + [ + 843, + 1742 + ], + [ + 5127, + 8370 + ], + [ + 2233, + 3354 + ], + [ + 5722, + 9711 + ], + [ + 7596, + 11113 + ], + [ + 7613, + 8084 + ], + [ + 2351, + 10930 + ], + [ + 116, + 4796 + ], + [ + 10468, + 10893 + ], + [ + 1910, + 4017 + ], + [ + 3477, + 5491 + ], + [ + 2535, + 9704 + ], + [ + 4398, + 7564 + ], + [ + 76, + 2364 + ], + [ + 478, + 6316 + ], + [ + 3807, + 10506 + ], + [ + 3, + 2825 + ], + [ + 2114, + 4197 + ], + [ + 1718, + 4197 + ], + [ + 9221, + 11437 + ], + [ + 1747, + 9853 + ], + [ + 4603, + 4963 + ], + [ + 8498, + 8598 + ], + [ + 4202, + 4619 + ], + [ + 4148, + 7766 + ], + [ + 6515, + 9855 + ], + [ + 1591, + 2143 + ], + [ + 4581, + 6867 + ], + [ + 1838, + 8436 + ], + [ + 1745, + 5993 + ], + [ + 2643, + 7143 + ], + [ + 6070, + 6206 + ], + [ + 1046, + 7712 + ], + [ + 968, + 6301 + ], + [ + 462, + 7661 + ], + [ + 6966, + 9912 + ], + [ + 705, + 4386 + ], + [ + 2286, + 2560 + ], + [ + 8385, + 10010 + ], + [ + 2504, + 10367 + ], + [ + 7239, + 8758 + ], + [ + 9887, + 10335 + ], + [ + 3282, + 7251 + ], + [ + 7702, + 10734 + ], + [ + 7017, + 10631 + ], + [ + 2691, + 10193 + ], + [ + 4936, + 10599 + ], + [ + 4556, + 4716 + ], + [ + 2312, + 7164 + ], + [ + 1818, + 10793 + ], + [ + 1725, + 9848 + ], + [ + 2752, + 7436 + ], + [ + 5157, + 9255 + ], + [ + 4682, + 10682 + ], + [ + 4954, + 8926 + ], + [ + 7641, + 9677 + ], + [ + 7517, + 7921 + ], + [ + 5105, + 8341 + ], + [ + 8291, + 10725 + ], + [ + 6199, + 7151 + ], + [ + 442, + 5854 + ], + [ + 3494, + 5040 + ], + [ + 3239, + 10183 + ], + [ + 3369, + 9475 + ], + [ + 5071, + 6478 + ], + [ + 4515, + 8475 + ], + [ + 9895, + 10576 + ], + [ + 4790, + 6236 + ], + [ + 812, + 1600 + ], + [ + 8155, + 10837 + ], + [ + 2117, + 7046 + ], + [ + 6845, + 10682 + ], + [ + 3760, + 6098 + ], + [ + 765, + 10829 + ], + [ + 6902, + 8183 + ], + [ + 1572, + 6199 + ], + [ + 1210, + 11445 + ], + [ + 1334, + 6785 + ], + [ + 1112, + 1488 + ], + [ + 114, + 3140 + ], + [ + 1074, + 5168 + ], + [ + 4348, + 10405 + ], + [ + 110, + 5650 + ], + [ + 172, + 7282 + ], + [ + 8476, + 9323 + ], + [ + 3216, + 8078 + ], + [ + 6120, + 11530 + ], + [ + 6387, + 9430 + ], + [ + 2536, + 6067 + ], + [ + 7212, + 9513 + ], + [ + 2252, + 6308 + ], + [ + 848, + 2354 + ], + [ + 4342, + 9055 + ], + [ + 1938, + 10090 + ], + [ + 6205, + 6915 + ], + [ + 3803, + 8777 + ], + [ + 5573, + 9856 + ], + [ + 1464, + 7955 + ], + [ + 784, + 8196 + ], + [ + 4671, + 4800 + ], + [ + 10307, + 11028 + ], + [ + 10405, + 11563 + ], + [ + 4326, + 7017 + ], + [ + 446, + 5168 + ], + [ + 9809, + 9997 + ], + [ + 1629, + 9685 + ], + [ + 2236, + 7653 + ], + [ + 271, + 5352 + ], + [ + 1919, + 5502 + ], + [ + 1492, + 10353 + ], + [ + 4506, + 9055 + ], + [ + 1803, + 7771 + ], + [ + 3172, + 8506 + ], + [ + 524, + 6929 + ], + [ + 4378, + 7557 + ], + [ + 4161, + 9774 + ], + [ + 1762, + 11153 + ], + [ + 3407, + 6868 + ], + [ + 2283, + 10101 + ], + [ + 6025, + 10488 + ], + [ + 4495, + 5863 + ], + [ + 2165, + 9291 + ], + [ + 1258, + 3891 + ], + [ + 7331, + 10120 + ], + [ + 2469, + 3286 + ], + [ + 693, + 11060 + ], + [ + 1226, + 5107 + ], + [ + 5730, + 9035 + ], + [ + 2531, + 10553 + ], + [ + 9229, + 9664 + ], + [ + 941, + 5123 + ], + [ + 538, + 10368 + ], + [ + 5445, + 9805 + ], + [ + 2869, + 9794 + ], + [ + 3327, + 5010 + ], + [ + 4199, + 11355 + ], + [ + 3299, + 9378 + ], + [ + 92, + 6117 + ], + [ + 2999, + 9086 + ], + [ + 9589, + 11138 + ], + [ + 157, + 4260 + ], + [ + 8128, + 11568 + ], + [ + 6447, + 9026 + ], + [ + 64, + 8233 + ], + [ + 6996, + 10022 + ], + [ + 8467, + 11034 + ], + [ + 4201, + 4985 + ], + [ + 4039, + 10319 + ], + [ + 3863, + 8373 + ], + [ + 1960, + 11114 + ], + [ + 10568, + 10937 + ], + [ + 4606, + 6202 + ], + [ + 5662, + 7938 + ], + [ + 7954, + 8190 + ], + [ + 550, + 7345 + ], + [ + 206, + 7535 + ], + [ + 338, + 9906 + ], + [ + 1264, + 6688 + ], + [ + 983, + 10610 + ], + [ + 3691, + 5822 + ], + [ + 3191, + 4718 + ], + [ + 49, + 6770 + ], + [ + 3399, + 5421 + ], + [ + 8168, + 9812 + ], + [ + 5117, + 10474 + ], + [ + 1600, + 2069 + ], + [ + 9406, + 11030 + ], + [ + 2687, + 3872 + ], + [ + 233, + 5544 + ], + [ + 1589, + 8326 + ], + [ + 1570, + 4112 + ], + [ + 7700, + 10875 + ], + [ + 403, + 9927 + ], + [ + 5635, + 9124 + ], + [ + 243, + 6262 + ], + [ + 5485, + 6147 + ], + [ + 7030, + 11080 + ], + [ + 66, + 10507 + ], + [ + 876, + 9558 + ], + [ + 8579, + 10470 + ], + [ + 1805, + 3605 + ], + [ + 303, + 3280 + ], + [ + 3518, + 10566 + ], + [ + 9511, + 11204 + ], + [ + 278, + 11329 + ], + [ + 4786, + 7085 + ], + [ + 80, + 4928 + ], + [ + 3414, + 9462 + ], + [ + 4156, + 4437 + ], + [ + 8646, + 8659 + ], + [ + 8482, + 9756 + ], + [ + 309, + 3445 + ], + [ + 1384, + 10149 + ], + [ + 5088, + 7800 + ], + [ + 415, + 3871 + ], + [ + 7476, + 7760 + ], + [ + 7384, + 8925 + ], + [ + 446, + 8819 + ], + [ + 9281, + 11277 + ], + [ + 3488, + 8071 + ], + [ + 4362, + 4663 + ], + [ + 11125, + 11339 + ], + [ + 8508, + 9075 + ], + [ + 9776, + 11256 + ], + [ + 1291, + 10308 + ], + [ + 6602, + 7354 + ], + [ + 6996, + 11445 + ], + [ + 5445, + 8195 + ], + [ + 868, + 10390 + ], + [ + 5720, + 10120 + ], + [ + 2800, + 10299 + ], + [ + 5694, + 8899 + ], + [ + 5687, + 7728 + ], + [ + 8147, + 10008 + ], + [ + 921, + 1356 + ], + [ + 89, + 1957 + ], + [ + 8987, + 10399 + ], + [ + 6052, + 9546 + ], + [ + 3636, + 7538 + ], + [ + 6395, + 9885 + ], + [ + 3449, + 11095 + ], + [ + 2575, + 8087 + ], + [ + 7047, + 7596 + ], + [ + 5961, + 7149 + ], + [ + 6833, + 7078 + ], + [ + 4496, + 9335 + ], + [ + 3596, + 7358 + ], + [ + 1820, + 5710 + ], + [ + 1326, + 9339 + ], + [ + 77, + 6454 + ], + [ + 3562, + 5495 + ], + [ + 8159, + 10368 + ], + [ + 6416, + 11112 + ], + [ + 755, + 9523 + ], + [ + 4652, + 6815 + ], + [ + 966, + 7491 + ], + [ + 2934, + 9309 + ], + [ + 10176, + 11324 + ], + [ + 1303, + 6130 + ], + [ + 1926, + 9519 + ], + [ + 1366, + 10616 + ], + [ + 3644, + 3992 + ], + [ + 3427, + 6209 + ], + [ + 5734, + 7493 + ], + [ + 2959, + 3889 + ], + [ + 3519, + 9181 + ], + [ + 5105, + 7699 + ], + [ + 649, + 2307 + ], + [ + 4663, + 7354 + ], + [ + 3885, + 10470 + ], + [ + 987, + 8718 + ], + [ + 2084, + 7045 + ], + [ + 5969, + 6986 + ], + [ + 11041, + 11186 + ], + [ + 1294, + 8646 + ], + [ + 477, + 6172 + ], + [ + 360, + 5587 + ], + [ + 1791, + 9452 + ], + [ + 8949, + 10241 + ], + [ + 10563, + 11561 + ], + [ + 2008, + 11372 + ], + [ + 446, + 3826 + ], + [ + 7922, + 10374 + ], + [ + 6129, + 6867 + ], + [ + 3016, + 6651 + ], + [ + 5982, + 7571 + ], + [ + 1997, + 7426 + ], + [ + 10770, + 11258 + ], + [ + 1374, + 4037 + ], + [ + 5947, + 10768 + ], + [ + 4478, + 10583 + ], + [ + 2251, + 10726 + ], + [ + 6039, + 7324 + ], + [ + 3976, + 8652 + ], + [ + 184, + 2486 + ], + [ + 4192, + 6964 + ], + [ + 3486, + 5984 + ], + [ + 986, + 6557 + ], + [ + 3573, + 7858 + ], + [ + 511, + 1568 + ], + [ + 357, + 7517 + ], + [ + 3657, + 6805 + ], + [ + 2729, + 6944 + ], + [ + 4090, + 10070 + ], + [ + 1752, + 3057 + ], + [ + 8673, + 11073 + ], + [ + 6025, + 9496 + ], + [ + 6612, + 6812 + ], + [ + 2689, + 3381 + ], + [ + 3900, + 9946 + ], + [ + 1603, + 2934 + ], + [ + 3817, + 8191 + ], + [ + 4677, + 6605 + ], + [ + 7321, + 10692 + ], + [ + 4246, + 7550 + ], + [ + 7358, + 7541 + ], + [ + 2869, + 5419 + ], + [ + 5021, + 7546 + ], + [ + 7877, + 9826 + ], + [ + 1488, + 10716 + ], + [ + 6885, + 8260 + ], + [ + 8405, + 9164 + ], + [ + 2849, + 10809 + ], + [ + 2298, + 6734 + ], + [ + 5068, + 9994 + ], + [ + 3629, + 6985 + ], + [ + 10177, + 10289 + ], + [ + 4723, + 5795 + ], + [ + 141, + 7646 + ], + [ + 330, + 10551 + ], + [ + 1751, + 5060 + ], + [ + 4557, + 7977 + ], + [ + 1761, + 5748 + ], + [ + 5767, + 10153 + ], + [ + 724, + 5193 + ], + [ + 7636, + 8959 + ], + [ + 1631, + 7560 + ], + [ + 3499, + 11426 + ], + [ + 8776, + 9642 + ], + [ + 1118, + 1333 + ], + [ + 4481, + 5107 + ], + [ + 8531, + 9811 + ], + [ + 2858, + 4455 + ], + [ + 10834, + 11353 + ], + [ + 5944, + 9641 + ], + [ + 180, + 6419 + ], + [ + 121, + 9222 + ], + [ + 6222, + 11083 + ], + [ + 284, + 4490 + ], + [ + 3639, + 7649 + ], + [ + 9117, + 10285 + ], + [ + 1916, + 5635 + ], + [ + 3722, + 6371 + ], + [ + 833, + 8869 + ], + [ + 858, + 9865 + ], + [ + 4903, + 10061 + ], + [ + 6892, + 10504 + ], + [ + 2107, + 6334 + ], + [ + 9920, + 11548 + ], + [ + 609, + 6128 + ], + [ + 3219, + 11385 + ], + [ + 3807, + 11555 + ], + [ + 1935, + 10199 + ], + [ + 5214, + 8610 + ], + [ + 630, + 3972 + ], + [ + 3455, + 11103 + ], + [ + 70, + 2817 + ], + [ + 4077, + 10103 + ], + [ + 1845, + 10656 + ], + [ + 6358, + 10166 + ], + [ + 288, + 4208 + ], + [ + 598, + 2182 + ], + [ + 7213, + 8236 + ], + [ + 2366, + 3188 + ], + [ + 9967, + 10963 + ], + [ + 6629, + 8939 + ], + [ + 1992, + 6919 + ], + [ + 5937, + 7665 + ], + [ + 2924, + 4647 + ], + [ + 7875, + 10772 + ], + [ + 3259, + 7377 + ], + [ + 9568, + 9941 + ], + [ + 8950, + 11060 + ], + [ + 1541, + 5707 + ], + [ + 5006, + 7506 + ], + [ + 680, + 7068 + ], + [ + 6781, + 8929 + ], + [ + 7304, + 10956 + ], + [ + 1022, + 10215 + ], + [ + 6903, + 9858 + ], + [ + 148, + 7207 + ], + [ + 24, + 5451 + ], + [ + 1421, + 8234 + ], + [ + 8078, + 8098 + ], + [ + 3004, + 3071 + ], + [ + 4843, + 9205 + ], + [ + 4876, + 5181 + ], + [ + 11446, + 11462 + ], + [ + 2969, + 6268 + ], + [ + 4782, + 11181 + ], + [ + 541, + 6909 + ], + [ + 2013, + 11529 + ], + [ + 3498, + 9995 + ], + [ + 6144, + 8493 + ], + [ + 3212, + 9409 + ], + [ + 7847, + 10602 + ], + [ + 1875, + 5179 + ], + [ + 5548, + 6927 + ], + [ + 844, + 3685 + ], + [ + 3461, + 3697 + ], + [ + 9653, + 11338 + ], + [ + 7000, + 9417 + ], + [ + 4450, + 4965 + ], + [ + 5351, + 9796 + ], + [ + 8245, + 8396 + ], + [ + 812, + 9065 + ], + [ + 7262, + 11080 + ], + [ + 1907, + 10729 + ], + [ + 4044, + 6906 + ], + [ + 2550, + 11360 + ], + [ + 4785, + 10324 + ], + [ + 11261, + 11308 + ], + [ + 1638, + 5616 + ], + [ + 7522, + 8940 + ], + [ + 888, + 3583 + ], + [ + 4005, + 10334 + ], + [ + 6925, + 7903 + ], + [ + 1636, + 1756 + ], + [ + 170, + 1088 + ], + [ + 4399, + 7255 + ], + [ + 6336, + 7508 + ], + [ + 4350, + 11500 + ], + [ + 1358, + 2943 + ], + [ + 1886, + 5314 + ], + [ + 1765, + 7239 + ], + [ + 3439, + 8610 + ], + [ + 8220, + 8874 + ], + [ + 10375, + 10518 + ], + [ + 3713, + 6900 + ], + [ + 1197, + 4688 + ], + [ + 9786, + 10877 + ], + [ + 1319, + 6371 + ], + [ + 7255, + 9885 + ], + [ + 2281, + 2810 + ], + [ + 9319, + 11411 + ], + [ + 811, + 11068 + ], + [ + 1341, + 3686 + ], + [ + 1088, + 3240 + ], + [ + 9341, + 9480 + ], + [ + 1836, + 7829 + ], + [ + 2739, + 9323 + ], + [ + 2149, + 6074 + ], + [ + 5753, + 6527 + ], + [ + 587, + 2665 + ], + [ + 7995, + 10045 + ], + [ + 4002, + 6629 + ], + [ + 8555, + 8921 + ], + [ + 5561, + 6707 + ], + [ + 1175, + 6218 + ], + [ + 3780, + 4715 + ], + [ + 1758, + 8296 + ], + [ + 2658, + 3857 + ], + [ + 504, + 2788 + ], + [ + 2317, + 6947 + ], + [ + 2687, + 5726 + ], + [ + 1596, + 11351 + ], + [ + 3091, + 10505 + ], + [ + 4464, + 4566 + ], + [ + 1818, + 3816 + ], + [ + 4902, + 8175 + ], + [ + 8154, + 10455 + ], + [ + 6784, + 9495 + ], + [ + 2862, + 7420 + ], + [ + 5601, + 9115 + ], + [ + 4484, + 8601 + ], + [ + 6533, + 9095 + ], + [ + 5848, + 8992 + ], + [ + 2056, + 2826 + ], + [ + 3198, + 6588 + ], + [ + 949, + 3030 + ], + [ + 4848, + 6784 + ], + [ + 261, + 1875 + ], + [ + 5437, + 9808 + ], + [ + 2533, + 4104 + ], + [ + 1757, + 4637 + ], + [ + 5559, + 9239 + ], + [ + 5285, + 10168 + ], + [ + 8733, + 10108 + ], + [ + 1070, + 1455 + ], + [ + 5023, + 8478 + ], + [ + 2688, + 11562 + ], + [ + 2719, + 6711 + ], + [ + 4271, + 6399 + ], + [ + 983, + 2210 + ], + [ + 1261, + 10068 + ], + [ + 5889, + 7838 + ], + [ + 7167, + 9209 + ], + [ + 7690, + 11236 + ], + [ + 451, + 7984 + ], + [ + 1025, + 10730 + ], + [ + 2484, + 3811 + ], + [ + 195, + 7240 + ], + [ + 30, + 9647 + ], + [ + 1840, + 3709 + ], + [ + 5133, + 8242 + ], + [ + 2860, + 5788 + ], + [ + 6531, + 7463 + ], + [ + 213, + 7819 + ], + [ + 158, + 1696 + ], + [ + 2451, + 4802 + ], + [ + 457, + 1763 + ], + [ + 9178, + 9569 + ], + [ + 3474, + 11316 + ], + [ + 3137, + 8890 + ], + [ + 2762, + 3351 + ], + [ + 10814, + 11587 + ], + [ + 3854, + 7750 + ], + [ + 2414, + 8303 + ], + [ + 7944, + 11129 + ], + [ + 1473, + 10489 + ], + [ + 325, + 8410 + ], + [ + 3809, + 10259 + ], + [ + 9134, + 9647 + ], + [ + 1097, + 11141 + ], + [ + 3339, + 5614 + ], + [ + 2810, + 5270 + ], + [ + 8907, + 10395 + ], + [ + 3905, + 7688 + ], + [ + 7969, + 9092 + ], + [ + 2243, + 2944 + ], + [ + 2742, + 4577 + ], + [ + 1154, + 2226 + ], + [ + 1123, + 2913 + ], + [ + 6177, + 9917 + ], + [ + 3522, + 4917 + ], + [ + 4886, + 7560 + ], + [ + 5262, + 10291 + ], + [ + 1803, + 9438 + ], + [ + 7128, + 11078 + ], + [ + 3081, + 10809 + ], + [ + 741, + 7133 + ], + [ + 1052, + 10967 + ], + [ + 302, + 3299 + ], + [ + 1199, + 7230 + ], + [ + 7804, + 11068 + ], + [ + 4910, + 6052 + ], + [ + 3850, + 6072 + ], + [ + 7554, + 10139 + ], + [ + 7076, + 7131 + ], + [ + 7702, + 10791 + ], + [ + 3321, + 10646 + ], + [ + 6330, + 9758 + ], + [ + 8785, + 10940 + ], + [ + 6975, + 10462 + ], + [ + 3098, + 8130 + ], + [ + 3776, + 11226 + ], + [ + 10032, + 10746 + ], + [ + 2368, + 4120 + ], + [ + 131, + 7739 + ], + [ + 3625, + 3860 + ], + [ + 1337, + 6790 + ], + [ + 2498, + 7576 + ], + [ + 9055, + 9488 + ], + [ + 1061, + 1230 + ], + [ + 1069, + 5255 + ], + [ + 1272, + 5614 + ], + [ + 7880, + 8969 + ], + [ + 2426, + 4475 + ], + [ + 9464, + 11578 + ], + [ + 312, + 6969 + ], + [ + 928, + 9187 + ], + [ + 1764, + 9459 + ], + [ + 1230, + 2355 + ], + [ + 6408, + 11115 + ], + [ + 4713, + 11149 + ], + [ + 9671, + 11275 + ], + [ + 7682, + 8580 + ], + [ + 767, + 10932 + ], + [ + 2966, + 7987 + ], + [ + 77, + 3315 + ], + [ + 4037, + 5093 + ], + [ + 1513, + 6026 + ], + [ + 4056, + 9307 + ], + [ + 10002, + 10099 + ], + [ + 2344, + 5954 + ], + [ + 2347, + 5471 + ], + [ + 1139, + 3341 + ], + [ + 5020, + 8044 + ], + [ + 1909, + 5245 + ], + [ + 1539, + 4214 + ], + [ + 1322, + 5677 + ], + [ + 9281, + 10716 + ], + [ + 6540, + 8948 + ], + [ + 7792, + 9098 + ], + [ + 750, + 3007 + ], + [ + 280, + 6276 + ], + [ + 7563, + 9046 + ], + [ + 1710, + 5035 + ], + [ + 6659, + 7327 + ], + [ + 222, + 10435 + ], + [ + 2622, + 7746 + ], + [ + 468, + 3294 + ], + [ + 8835, + 9848 + ], + [ + 970, + 7854 + ], + [ + 722, + 10758 + ], + [ + 3050, + 10667 + ], + [ + 2732, + 4908 + ], + [ + 1365, + 10635 + ], + [ + 890, + 1482 + ], + [ + 6994, + 7024 + ], + [ + 7610, + 9242 + ], + [ + 5089, + 9692 + ], + [ + 8110, + 9565 + ], + [ + 7704, + 8877 + ], + [ + 3067, + 4605 + ], + [ + 2007, + 4625 + ], + [ + 256, + 11143 + ], + [ + 10558, + 11461 + ], + [ + 3663, + 8019 + ], + [ + 8852, + 10552 + ], + [ + 6488, + 8734 + ], + [ + 4552, + 5673 + ], + [ + 5426, + 6429 + ], + [ + 5116, + 7701 + ], + [ + 4734, + 11571 + ], + [ + 5950, + 11310 + ], + [ + 322, + 5697 + ], + [ + 3080, + 4436 + ], + [ + 2775, + 10970 + ], + [ + 1775, + 11041 + ], + [ + 3153, + 3194 + ], + [ + 8060, + 9047 + ], + [ + 9, + 4419 + ], + [ + 408, + 8100 + ], + [ + 4047, + 7608 + ], + [ + 3178, + 11360 + ], + [ + 3009, + 9107 + ], + [ + 311, + 8167 + ], + [ + 6125, + 6588 + ], + [ + 2883, + 4272 + ], + [ + 4295, + 8087 + ], + [ + 1277, + 7731 + ], + [ + 6365, + 9458 + ], + [ + 3158, + 6197 + ], + [ + 1027, + 7556 + ], + [ + 4158, + 11007 + ], + [ + 3911, + 8097 + ], + [ + 5024, + 6957 + ], + [ + 2386, + 10232 + ], + [ + 5156, + 7076 + ], + [ + 3027, + 10036 + ], + [ + 7860, + 8962 + ], + [ + 3428, + 3964 + ], + [ + 8417, + 10573 + ], + [ + 6103, + 8118 + ], + [ + 93, + 5621 + ], + [ + 2723, + 6592 + ], + [ + 104, + 9917 + ], + [ + 5085, + 5331 + ], + [ + 4150, + 4299 + ], + [ + 160, + 10980 + ], + [ + 1056, + 11303 + ], + [ + 844, + 6694 + ], + [ + 2798, + 10334 + ], + [ + 3047, + 11038 + ], + [ + 3233, + 8010 + ], + [ + 8964, + 11092 + ], + [ + 2367, + 11279 + ], + [ + 5931, + 8950 + ], + [ + 2868, + 9575 + ], + [ + 6154, + 10685 + ], + [ + 10052, + 11585 + ], + [ + 2413, + 7490 + ], + [ + 6117, + 11557 + ], + [ + 3978, + 11547 + ], + [ + 3851, + 10274 + ], + [ + 559, + 10847 + ], + [ + 8828, + 10450 + ], + [ + 5831, + 8719 + ], + [ + 2761, + 8173 + ], + [ + 5775, + 11039 + ], + [ + 9595, + 9804 + ], + [ + 1974, + 4006 + ], + [ + 962, + 1064 + ], + [ + 4705, + 10721 + ], + [ + 443, + 2162 + ], + [ + 6481, + 9336 + ], + [ + 4225, + 11023 + ], + [ + 6591, + 7252 + ], + [ + 8402, + 10584 + ], + [ + 2415, + 4129 + ], + [ + 5286, + 7441 + ], + [ + 2796, + 6450 + ], + [ + 6653, + 7349 + ], + [ + 1270, + 4950 + ], + [ + 76, + 6690 + ], + [ + 734, + 8353 + ], + [ + 2596, + 2605 + ], + [ + 4347, + 5886 + ], + [ + 6145, + 9013 + ], + [ + 1007, + 9451 + ], + [ + 3660, + 9120 + ], + [ + 971, + 7542 + ], + [ + 881, + 11032 + ], + [ + 6767, + 8767 + ], + [ + 6822, + 8474 + ], + [ + 4370, + 10973 + ], + [ + 7386, + 10502 + ], + [ + 1604, + 10838 + ], + [ + 2217, + 2959 + ], + [ + 916, + 11218 + ], + [ + 4980, + 9212 + ], + [ + 4367, + 10675 + ], + [ + 2127, + 4197 + ], + [ + 5050, + 7699 + ], + [ + 7748, + 8639 + ], + [ + 7534, + 10373 + ], + [ + 2369, + 3730 + ], + [ + 4989, + 9675 + ], + [ + 1472, + 5434 + ], + [ + 5799, + 8726 + ], + [ + 1969, + 6240 + ], + [ + 3495, + 7713 + ], + [ + 9028, + 10056 + ], + [ + 3857, + 11512 + ], + [ + 433, + 10468 + ], + [ + 187, + 7029 + ], + [ + 373, + 3247 + ], + [ + 6931, + 8767 + ], + [ + 6617, + 11051 + ], + [ + 4036, + 10696 + ], + [ + 8795, + 9481 + ], + [ + 6718, + 11103 + ], + [ + 2288, + 6932 + ], + [ + 8609, + 11011 + ], + [ + 2038, + 6003 + ], + [ + 2219, + 2631 + ], + [ + 859, + 9529 + ], + [ + 4246, + 11445 + ], + [ + 2068, + 5845 + ], + [ + 3277, + 11583 + ], + [ + 6962, + 10682 + ], + [ + 8783, + 9097 + ], + [ + 7960, + 9784 + ], + [ + 101, + 1219 + ], + [ + 4144, + 11168 + ], + [ + 4250, + 11564 + ], + [ + 7139, + 9820 + ], + [ + 6362, + 10128 + ], + [ + 1744, + 5906 + ], + [ + 5959, + 8957 + ], + [ + 350, + 7558 + ], + [ + 9880, + 10807 + ], + [ + 5114, + 10851 + ], + [ + 1260, + 10223 + ], + [ + 4360, + 8699 + ], + [ + 6135, + 10122 + ], + [ + 6068, + 8900 + ], + [ + 2155, + 11075 + ], + [ + 3430, + 5759 + ], + [ + 2611, + 8874 + ], + [ + 8676, + 11078 + ], + [ + 4455, + 8936 + ], + [ + 3051, + 9146 + ], + [ + 6779, + 11355 + ], + [ + 5812, + 8156 + ], + [ + 3162, + 3500 + ], + [ + 3781, + 5235 + ], + [ + 4375, + 9357 + ], + [ + 5589, + 6771 + ], + [ + 3603, + 10009 + ], + [ + 5062, + 9506 + ], + [ + 3371, + 4024 + ], + [ + 3503, + 6395 + ], + [ + 3661, + 7735 + ], + [ + 1168, + 3063 + ], + [ + 7515, + 8363 + ], + [ + 507, + 7518 + ], + [ + 3275, + 7699 + ], + [ + 2628, + 3916 + ], + [ + 3022, + 3089 + ], + [ + 1440, + 8073 + ], + [ + 991, + 9967 + ], + [ + 36, + 1867 + ], + [ + 9590, + 10428 + ], + [ + 58, + 5598 + ], + [ + 1928, + 11045 + ], + [ + 3389, + 4953 + ], + [ + 3366, + 9665 + ], + [ + 3170, + 5589 + ], + [ + 627, + 2308 + ], + [ + 2368, + 4901 + ], + [ + 8087, + 9878 + ], + [ + 926, + 8791 + ], + [ + 437, + 5594 + ], + [ + 206, + 3217 + ], + [ + 3597, + 9039 + ], + [ + 3015, + 5651 + ], + [ + 2786, + 5599 + ], + [ + 3130, + 3157 + ], + [ + 2071, + 6785 + ], + [ + 7265, + 9662 + ], + [ + 11074, + 11271 + ], + [ + 4837, + 10303 + ], + [ + 5181, + 10113 + ], + [ + 5463, + 6793 + ], + [ + 2264, + 10563 + ], + [ + 1163, + 1914 + ], + [ + 256, + 9346 + ], + [ + 8574, + 9565 + ], + [ + 2781, + 5605 + ], + [ + 1470, + 2596 + ], + [ + 4890, + 6904 + ], + [ + 5679, + 11494 + ], + [ + 3422, + 9573 + ], + [ + 9096, + 11367 + ], + [ + 7040, + 7450 + ], + [ + 712, + 7118 + ], + [ + 3461, + 8747 + ], + [ + 3607, + 8572 + ], + [ + 3366, + 5477 + ], + [ + 2366, + 4050 + ], + [ + 6600, + 11315 + ], + [ + 3016, + 11514 + ], + [ + 3525, + 9671 + ], + [ + 7432, + 7681 + ], + [ + 7626, + 10930 + ], + [ + 3693, + 10975 + ], + [ + 986, + 8037 + ], + [ + 6996, + 8282 + ], + [ + 2889, + 3044 + ], + [ + 575, + 589 + ], + [ + 4320, + 4657 + ], + [ + 5691, + 8471 + ], + [ + 2575, + 10990 + ], + [ + 2635, + 11041 + ], + [ + 2007, + 11472 + ], + [ + 1458, + 4814 + ], + [ + 1422, + 2151 + ], + [ + 5938, + 8348 + ], + [ + 6683, + 7004 + ], + [ + 5181, + 5925 + ], + [ + 10843, + 11122 + ], + [ + 84, + 6364 + ], + [ + 640, + 2115 + ], + [ + 295, + 11502 + ], + [ + 4092, + 5180 + ], + [ + 5427, + 6331 + ], + [ + 1067, + 7063 + ], + [ + 6335, + 8923 + ], + [ + 110, + 8716 + ], + [ + 4960, + 7619 + ], + [ + 416, + 6544 + ], + [ + 2255, + 5508 + ], + [ + 2809, + 6848 + ], + [ + 1997, + 4718 + ], + [ + 11396, + 11456 + ], + [ + 3065, + 4559 + ], + [ + 4018, + 5416 + ], + [ + 1243, + 2566 + ], + [ + 8992, + 10239 + ], + [ + 4546, + 5535 + ], + [ + 6041, + 11105 + ], + [ + 6951, + 8108 + ], + [ + 2811, + 6894 + ], + [ + 2298, + 11247 + ], + [ + 4354, + 8748 + ], + [ + 10121, + 11487 + ], + [ + 555, + 1411 + ], + [ + 1895, + 10076 + ], + [ + 8536, + 9407 + ], + [ + 3075, + 7906 + ], + [ + 3028, + 8060 + ], + [ + 932, + 11160 + ], + [ + 7866, + 9612 + ], + [ + 896, + 5087 + ], + [ + 8310, + 10003 + ], + [ + 7646, + 10777 + ], + [ + 860, + 8813 + ], + [ + 1634, + 5955 + ], + [ + 5364, + 11243 + ], + [ + 4901, + 9267 + ], + [ + 6776, + 8642 + ], + [ + 4413, + 9678 + ], + [ + 2383, + 6982 + ], + [ + 1892, + 10128 + ], + [ + 5891, + 6973 + ], + [ + 3193, + 6033 + ], + [ + 7572, + 9515 + ], + [ + 230, + 5384 + ], + [ + 3396, + 6392 + ], + [ + 190, + 5985 + ], + [ + 2629, + 7388 + ], + [ + 3861, + 7660 + ], + [ + 4430, + 10032 + ], + [ + 5550, + 10063 + ], + [ + 10469, + 11015 + ], + [ + 1911, + 11309 + ], + [ + 9779, + 10568 + ], + [ + 1744, + 5719 + ], + [ + 752, + 10569 + ], + [ + 3214, + 7260 + ], + [ + 6282, + 6979 + ], + [ + 2183, + 6520 + ], + [ + 2486, + 4077 + ], + [ + 6324, + 10588 + ], + [ + 5008, + 6481 + ], + [ + 368, + 10579 + ], + [ + 466, + 5452 + ], + [ + 4253, + 11274 + ], + [ + 1701, + 9405 + ], + [ + 8407, + 9131 + ], + [ + 2829, + 7045 + ], + [ + 8555, + 9783 + ], + [ + 4012, + 11562 + ], + [ + 9260, + 11292 + ], + [ + 6839, + 8186 + ], + [ + 3417, + 7969 + ], + [ + 8984, + 9142 + ], + [ + 9729, + 10050 + ], + [ + 4130, + 9339 + ], + [ + 4058, + 7019 + ], + [ + 2540, + 10325 + ], + [ + 4493, + 6947 + ], + [ + 3249, + 5160 + ], + [ + 2590, + 9688 + ], + [ + 3749, + 9647 + ], + [ + 2417, + 5007 + ], + [ + 2412, + 4663 + ], + [ + 2183, + 5365 + ], + [ + 2281, + 5900 + ], + [ + 2711, + 5484 + ], + [ + 2664, + 5638 + ], + [ + 4123, + 9299 + ], + [ + 1096, + 4693 + ], + [ + 1311, + 1649 + ], + [ + 3233, + 7286 + ], + [ + 5576, + 8227 + ], + [ + 2530, + 5823 + ], + [ + 930, + 2711 + ], + [ + 601, + 3933 + ], + [ + 3551, + 9258 + ], + [ + 3355, + 5182 + ], + [ + 7226, + 8423 + ], + [ + 7004, + 9542 + ], + [ + 1498, + 4858 + ], + [ + 9368, + 11360 + ], + [ + 6562, + 8443 + ], + [ + 3671, + 10114 + ], + [ + 935, + 6438 + ], + [ + 3149, + 4525 + ], + [ + 2077, + 7948 + ], + [ + 1521, + 9945 + ], + [ + 1013, + 4816 + ], + [ + 5438, + 8643 + ], + [ + 2611, + 4849 + ], + [ + 1176, + 5746 + ], + [ + 4696, + 8006 + ], + [ + 2105, + 2799 + ], + [ + 2633, + 9334 + ], + [ + 3600, + 8369 + ], + [ + 705, + 10298 + ], + [ + 1018, + 8543 + ], + [ + 9294, + 9317 + ], + [ + 10293, + 11273 + ], + [ + 4408, + 7724 + ], + [ + 8293, + 9917 + ], + [ + 1629, + 9636 + ], + [ + 160, + 3035 + ], + [ + 2718, + 8102 + ], + [ + 1787, + 3806 + ], + [ + 5837, + 8510 + ], + [ + 443, + 11237 + ], + [ + 727, + 4580 + ], + [ + 7284, + 10656 + ], + [ + 4612, + 10937 + ], + [ + 9469, + 11011 + ], + [ + 6114, + 7098 + ], + [ + 2191, + 8585 + ], + [ + 9157, + 9204 + ], + [ + 4047, + 5274 + ], + [ + 2216, + 10335 + ], + [ + 2185, + 8016 + ], + [ + 2562, + 4556 + ], + [ + 256, + 6126 + ], + [ + 2209, + 2748 + ], + [ + 2090, + 4746 + ], + [ + 10020, + 11299 + ], + [ + 906, + 3010 + ], + [ + 6564, + 10717 + ], + [ + 1805, + 5516 + ], + [ + 3119, + 8796 + ], + [ + 1808, + 5033 + ], + [ + 1550, + 10659 + ], + [ + 5913, + 9444 + ], + [ + 831, + 1146 + ], + [ + 2400, + 2693 + ], + [ + 3418, + 8863 + ], + [ + 56, + 8697 + ], + [ + 1988, + 10104 + ], + [ + 7500, + 11570 + ], + [ + 3825, + 6743 + ], + [ + 709, + 9262 + ], + [ + 9076, + 10154 + ], + [ + 2759, + 6948 + ], + [ + 5133, + 9454 + ], + [ + 9825, + 11181 + ], + [ + 2253, + 8308 + ], + [ + 4474, + 8320 + ], + [ + 10408, + 11007 + ], + [ + 1048, + 9078 + ], + [ + 1853, + 7785 + ], + [ + 6045, + 8408 + ], + [ + 3275, + 5902 + ], + [ + 3028, + 4490 + ], + [ + 9093, + 10858 + ], + [ + 2273, + 3648 + ], + [ + 7341, + 9604 + ], + [ + 1273, + 7102 + ], + [ + 2121, + 2473 + ], + [ + 94, + 10628 + ], + [ + 1276, + 5121 + ], + [ + 188, + 9509 + ], + [ + 3160, + 6487 + ], + [ + 3903, + 10732 + ], + [ + 2313, + 8308 + ], + [ + 3567, + 8531 + ], + [ + 733, + 3566 + ], + [ + 7666, + 8963 + ], + [ + 1131, + 10028 + ], + [ + 3777, + 9280 + ], + [ + 759, + 8170 + ], + [ + 628, + 9407 + ], + [ + 4086, + 10035 + ], + [ + 1839, + 2386 + ], + [ + 3955, + 7108 + ], + [ + 1283, + 5137 + ], + [ + 9937, + 10967 + ], + [ + 5362, + 10579 + ], + [ + 3717, + 7694 + ], + [ + 5427, + 8722 + ], + [ + 5582, + 6381 + ], + [ + 7500, + 9610 + ], + [ + 6225, + 6258 + ], + [ + 4229, + 8808 + ], + [ + 4053, + 11026 + ], + [ + 7783, + 9898 + ], + [ + 7405, + 7471 + ], + [ + 3702, + 7012 + ], + [ + 7867, + 11474 + ], + [ + 5596, + 6437 + ], + [ + 2162, + 3951 + ], + [ + 1234, + 10506 + ], + [ + 10630, + 11311 + ], + [ + 1392, + 5430 + ], + [ + 6829, + 7311 + ], + [ + 1230, + 6600 + ], + [ + 2510, + 4634 + ], + [ + 15, + 9715 + ], + [ + 10439, + 10962 + ], + [ + 3880, + 8223 + ], + [ + 7718, + 8348 + ], + [ + 751, + 3340 + ], + [ + 2063, + 3541 + ], + [ + 8277, + 9251 + ], + [ + 8836, + 10935 + ], + [ + 2181, + 5482 + ], + [ + 4011, + 6612 + ], + [ + 2557, + 8213 + ], + [ + 7932, + 9216 + ], + [ + 380, + 7719 + ], + [ + 2515, + 7987 + ], + [ + 1584, + 10861 + ], + [ + 3298, + 7844 + ], + [ + 6087, + 8902 + ], + [ + 488, + 8191 + ], + [ + 3979, + 4795 + ], + [ + 2239, + 11472 + ], + [ + 2948, + 10471 + ], + [ + 1697, + 10923 + ], + [ + 4596, + 9867 + ], + [ + 6275, + 11582 + ], + [ + 451, + 8309 + ], + [ + 2861, + 11226 + ], + [ + 1853, + 11436 + ], + [ + 1638, + 8064 + ], + [ + 1791, + 10558 + ], + [ + 4561, + 5150 + ], + [ + 4024, + 7197 + ], + [ + 175, + 497 + ], + [ + 882, + 8495 + ], + [ + 8330, + 9612 + ], + [ + 3127, + 8901 + ], + [ + 2712, + 10379 + ], + [ + 1342, + 10173 + ], + [ + 8718, + 8970 + ], + [ + 232, + 4414 + ], + [ + 1660, + 2346 + ], + [ + 3769, + 9307 + ], + [ + 3550, + 4281 + ], + [ + 2930, + 8737 + ], + [ + 1374, + 11559 + ], + [ + 7472, + 7487 + ], + [ + 4263, + 9815 + ], + [ + 875, + 7674 + ], + [ + 7874, + 10685 + ], + [ + 6432, + 8913 + ], + [ + 1549, + 3454 + ], + [ + 722, + 10815 + ], + [ + 5820, + 6814 + ], + [ + 3048, + 9897 + ], + [ + 4142, + 8707 + ], + [ + 4352, + 5319 + ], + [ + 8428, + 8992 + ], + [ + 8123, + 11362 + ], + [ + 5126, + 8877 + ], + [ + 556, + 8833 + ], + [ + 2954, + 7229 + ], + [ + 7496, + 8231 + ], + [ + 7711, + 10105 + ], + [ + 2011, + 2172 + ], + [ + 6427, + 10417 + ], + [ + 4536, + 9011 + ], + [ + 5055, + 7132 + ], + [ + 666, + 2962 + ], + [ + 9077, + 9788 + ], + [ + 3931, + 3949 + ], + [ + 569, + 3029 + ], + [ + 3595, + 10416 + ], + [ + 166, + 1858 + ], + [ + 4620, + 11341 + ], + [ + 5026, + 5613 + ], + [ + 6165, + 9858 + ], + [ + 4520, + 6973 + ], + [ + 6665, + 10181 + ], + [ + 7941, + 8473 + ], + [ + 3643, + 3667 + ], + [ + 8101, + 9105 + ], + [ + 873, + 6796 + ], + [ + 1931, + 2943 + ], + [ + 7588, + 10048 + ], + [ + 5320, + 7938 + ], + [ + 9055, + 11318 + ], + [ + 1823, + 11519 + ], + [ + 10386, + 11569 + ], + [ + 1296, + 5586 + ], + [ + 4071, + 9190 + ], + [ + 4558, + 8554 + ], + [ + 3376, + 7645 + ], + [ + 8174, + 10522 + ], + [ + 2914, + 9277 + ], + [ + 2518, + 9277 + ], + [ + 1448, + 2193 + ], + [ + 1361, + 10118 + ], + [ + 3876, + 11351 + ], + [ + 1781, + 1844 + ], + [ + 3475, + 11007 + ], + [ + 1570, + 7259 + ], + [ + 5307, + 7302 + ], + [ + 79, + 8224 + ], + [ + 344, + 9461 + ], + [ + 129, + 1171 + ], + [ + 6147, + 7693 + ], + [ + 1895, + 5514 + ], + [ + 2548, + 6833 + ], + [ + 2794, + 3856 + ], + [ + 9423, + 11498 + ], + [ + 3139, + 4268 + ], + [ + 3796, + 9493 + ], + [ + 6807, + 8678 + ], + [ + 4850, + 8904 + ], + [ + 6346, + 10912 + ], + [ + 3536, + 11259 + ], + [ + 2985, + 7184 + ], + [ + 6581, + 9274 + ], + [ + 2603, + 4638 + ], + [ + 4380, + 9140 + ], + [ + 6955, + 8926 + ], + [ + 6306, + 10732 + ], + [ + 1095, + 3744 + ], + [ + 1604, + 1901 + ], + [ + 1001, + 10498 + ], + [ + 4712, + 8566 + ], + [ + 4115, + 4146 + ], + [ + 3860, + 10043 + ], + [ + 3862, + 10089 + ], + [ + 2520, + 11177 + ], + [ + 7527, + 7812 + ], + [ + 1723, + 10079 + ], + [ + 4672, + 8386 + ], + [ + 7034, + 7879 + ], + [ + 1208, + 7943 + ], + [ + 5944, + 9942 + ], + [ + 1677, + 6701 + ], + [ + 501, + 8990 + ], + [ + 9993, + 10257 + ], + [ + 9709, + 10498 + ], + [ + 5657, + 9131 + ], + [ + 5433, + 10177 + ], + [ + 2503, + 9668 + ], + [ + 2632, + 5352 + ], + [ + 4187, + 5311 + ], + [ + 5651, + 9316 + ], + [ + 7046, + 11272 + ], + [ + 2595, + 6224 + ], + [ + 9945, + 10216 + ], + [ + 261, + 5746 + ], + [ + 3124, + 5033 + ], + [ + 971, + 1183 + ], + [ + 9410, + 10057 + ], + [ + 2846, + 6974 + ], + [ + 2995, + 9726 + ], + [ + 5140, + 6518 + ], + [ + 4338, + 5076 + ], + [ + 1566, + 8159 + ], + [ + 8063, + 10020 + ], + [ + 659, + 9175 + ], + [ + 4864, + 11538 + ], + [ + 1526, + 8760 + ], + [ + 5951, + 8423 + ], + [ + 2949, + 6348 + ], + [ + 1123, + 1173 + ], + [ + 5018, + 8972 + ], + [ + 5135, + 9557 + ], + [ + 1002, + 3098 + ], + [ + 1520, + 4781 + ], + [ + 6160, + 6318 + ], + [ + 7968, + 10133 + ], + [ + 5449, + 11410 + ], + [ + 88, + 2943 + ], + [ + 2931, + 8371 + ], + [ + 1923, + 9335 + ], + [ + 4070, + 6200 + ], + [ + 10412, + 11156 + ], + [ + 343, + 1183 + ], + [ + 6399, + 9717 + ], + [ + 2104, + 10844 + ], + [ + 3071, + 8381 + ], + [ + 6366, + 7325 + ], + [ + 2169, + 9741 + ], + [ + 2513, + 9551 + ], + [ + 1100, + 5511 + ], + [ + 4837, + 5554 + ], + [ + 2416, + 3202 + ], + [ + 3689, + 9891 + ], + [ + 3074, + 11281 + ], + [ + 7921, + 9913 + ], + [ + 1785, + 3335 + ], + [ + 9374, + 9595 + ], + [ + 3935, + 10297 + ], + [ + 255, + 962 + ], + [ + 3157, + 10003 + ], + [ + 4888, + 5492 + ], + [ + 4550, + 8880 + ], + [ + 2549, + 4670 + ], + [ + 539, + 4104 + ], + [ + 4692, + 4799 + ], + [ + 1371, + 4634 + ], + [ + 440, + 1092 + ], + [ + 5260, + 7700 + ], + [ + 6529, + 11237 + ], + [ + 4352, + 10743 + ], + [ + 1081, + 9941 + ], + [ + 1795, + 2868 + ], + [ + 2189, + 6205 + ], + [ + 3968, + 5118 + ], + [ + 3482, + 8608 + ], + [ + 4679, + 9825 + ], + [ + 4720, + 10580 + ], + [ + 1193, + 7903 + ], + [ + 2817, + 9157 + ], + [ + 6588, + 8030 + ], + [ + 7111, + 10057 + ], + [ + 1037, + 10773 + ], + [ + 473, + 2329 + ], + [ + 5398, + 6479 + ], + [ + 9040, + 9668 + ], + [ + 5117, + 10401 + ], + [ + 3145, + 7683 + ], + [ + 2780, + 6996 + ], + [ + 2023, + 4573 + ], + [ + 5670, + 8106 + ], + [ + 7105, + 7209 + ], + [ + 2815, + 8680 + ], + [ + 7719, + 8600 + ], + [ + 1083, + 3197 + ], + [ + 1337, + 4245 + ], + [ + 4702, + 11098 + ], + [ + 2052, + 6442 + ], + [ + 2896, + 11493 + ], + [ + 2108, + 9757 + ], + [ + 2232, + 5097 + ], + [ + 6375, + 6582 + ], + [ + 1702, + 2653 + ], + [ + 4167, + 4523 + ], + [ + 2686, + 6206 + ], + [ + 2011, + 6791 + ], + [ + 1598, + 11348 + ], + [ + 2190, + 2592 + ], + [ + 725, + 11194 + ], + [ + 2719, + 7817 + ], + [ + 1759, + 3537 + ], + [ + 1408, + 1802 + ], + [ + 1323, + 6390 + ], + [ + 2374, + 7782 + ], + [ + 2071, + 3809 + ], + [ + 4063, + 10185 + ], + [ + 6947, + 8097 + ], + [ + 2005, + 5441 + ], + [ + 6258, + 10504 + ], + [ + 876, + 8330 + ], + [ + 7350, + 8487 + ], + [ + 3210, + 11437 + ], + [ + 1187, + 3496 + ], + [ + 4170, + 7803 + ], + [ + 689, + 5471 + ], + [ + 708, + 3269 + ], + [ + 5728, + 10689 + ], + [ + 3517, + 9867 + ], + [ + 8656, + 8873 + ], + [ + 4224, + 7285 + ], + [ + 2512, + 3932 + ], + [ + 7718, + 8324 + ], + [ + 7088, + 7928 + ], + [ + 2979, + 6027 + ], + [ + 2261, + 9948 + ], + [ + 857, + 10158 + ], + [ + 3205, + 11443 + ], + [ + 1133, + 8521 + ], + [ + 823, + 3377 + ], + [ + 9016, + 9566 + ], + [ + 8947, + 10927 + ], + [ + 2374, + 10010 + ], + [ + 235, + 10754 + ], + [ + 9918, + 10835 + ], + [ + 3960, + 9282 + ], + [ + 4744, + 9364 + ], + [ + 1134, + 9096 + ], + [ + 661, + 6432 + ], + [ + 1072, + 8218 + ], + [ + 2689, + 8301 + ], + [ + 8511, + 10747 + ], + [ + 4798, + 9600 + ], + [ + 10218, + 11477 + ], + [ + 5602, + 8082 + ], + [ + 1926, + 9446 + ], + [ + 3954, + 11315 + ], + [ + 5255, + 7974 + ], + [ + 6253, + 9705 + ], + [ + 1211, + 9851 + ], + [ + 8073, + 10147 + ], + [ + 6309, + 6604 + ], + [ + 1383, + 8645 + ], + [ + 5488, + 6640 + ], + [ + 1487, + 2552 + ], + [ + 2879, + 4237 + ], + [ + 599, + 7782 + ], + [ + 5187, + 9129 + ], + [ + 3124, + 4041 + ], + [ + 3464, + 10525 + ], + [ + 635, + 6658 + ], + [ + 1746, + 8855 + ], + [ + 6603, + 6677 + ], + [ + 10271, + 10333 + ], + [ + 558, + 8131 + ], + [ + 1580, + 4621 + ], + [ + 196, + 6961 + ], + [ + 1084, + 7423 + ], + [ + 7247, + 10162 + ], + [ + 5313, + 7174 + ], + [ + 6510, + 9869 + ], + [ + 3893, + 7605 + ], + [ + 4548, + 11249 + ], + [ + 9113, + 10949 + ], + [ + 651, + 1125 + ], + [ + 680, + 6027 + ], + [ + 4329, + 10387 + ], + [ + 8054, + 8161 + ], + [ + 4354, + 11383 + ], + [ + 829, + 3117 + ], + [ + 7962, + 9326 + ], + [ + 2508, + 4832 + ], + [ + 4044, + 10403 + ], + [ + 5069, + 7164 + ], + [ + 2328, + 3144 + ], + [ + 4562, + 9053 + ], + [ + 3970, + 4977 + ], + [ + 6523, + 9700 + ], + [ + 2342, + 6233 + ], + [ + 661, + 1439 + ], + [ + 4838, + 8170 + ], + [ + 7415, + 11035 + ], + [ + 8905, + 9845 + ], + [ + 1790, + 9103 + ], + [ + 2872, + 6398 + ], + [ + 224, + 4821 + ], + [ + 5265, + 6702 + ], + [ + 6610, + 9295 + ], + [ + 727, + 8825 + ], + [ + 5111, + 6235 + ], + [ + 4639, + 7179 + ], + [ + 5270, + 10429 + ], + [ + 6258, + 8089 + ], + [ + 4293, + 5788 + ], + [ + 7030, + 10820 + ], + [ + 6720, + 9840 + ], + [ + 8523, + 9147 + ], + [ + 5043, + 8171 + ], + [ + 8456, + 11308 + ], + [ + 1510, + 11341 + ], + [ + 8136, + 9640 + ], + [ + 3158, + 5075 + ], + [ + 4685, + 9402 + ], + [ + 1877, + 9822 + ], + [ + 3931, + 11414 + ], + [ + 3341, + 4001 + ], + [ + 5247, + 8351 + ], + [ + 4032, + 5050 + ], + [ + 1597, + 4520 + ], + [ + 4396, + 6266 + ], + [ + 3330, + 6471 + ], + [ + 4711, + 10973 + ], + [ + 5289, + 10455 + ], + [ + 2589, + 8688 + ], + [ + 3885, + 4249 + ], + [ + 813, + 7040 + ], + [ + 1620, + 2410 + ], + [ + 2406, + 3319 + ], + [ + 3113, + 11317 + ], + [ + 524, + 6937 + ], + [ + 1496, + 4818 + ], + [ + 876, + 5110 + ], + [ + 3293, + 3556 + ], + [ + 4659, + 7026 + ], + [ + 1142, + 9201 + ], + [ + 423, + 3852 + ], + [ + 3602, + 11481 + ], + [ + 10506, + 11222 + ], + [ + 5406, + 11390 + ], + [ + 6213, + 6760 + ], + [ + 3761, + 9259 + ], + [ + 1889, + 7149 + ], + [ + 5132, + 6657 + ], + [ + 5342, + 7433 + ], + [ + 2890, + 5768 + ], + [ + 2513, + 9982 + ], + [ + 5216, + 11266 + ], + [ + 5185, + 9701 + ], + [ + 3853, + 5815 + ], + [ + 88, + 10140 + ], + [ + 828, + 8452 + ], + [ + 788, + 11305 + ], + [ + 4303, + 6051 + ], + [ + 2754, + 10044 + ], + [ + 6613, + 11016 + ], + [ + 7986, + 9241 + ], + [ + 9689, + 11350 + ], + [ + 3705, + 7822 + ], + [ + 3813, + 5635 + ], + [ + 5838, + 7987 + ], + [ + 821, + 4248 + ], + [ + 977, + 10423 + ], + [ + 2844, + 5773 + ], + [ + 1789, + 10301 + ], + [ + 5027, + 8711 + ], + [ + 8785, + 9631 + ], + [ + 876, + 3955 + ], + [ + 2187, + 3931 + ], + [ + 5573, + 9409 + ], + [ + 4606, + 6210 + ], + [ + 1743, + 6923 + ], + [ + 3494, + 3788 + ], + [ + 2310, + 8468 + ], + [ + 1682, + 8899 + ], + [ + 27, + 5326 + ], + [ + 1271, + 1451 + ], + [ + 1530, + 9259 + ], + [ + 2958, + 7191 + ], + [ + 9423, + 9514 + ], + [ + 5813, + 11498 + ], + [ + 306, + 1708 + ], + [ + 545, + 3976 + ], + [ + 1792, + 6034 + ], + [ + 3409, + 10281 + ], + [ + 205, + 7291 + ], + [ + 2390, + 4640 + ], + [ + 294, + 9992 + ], + [ + 1821, + 7903 + ], + [ + 52, + 7426 + ], + [ + 10124, + 10500 + ], + [ + 2593, + 4218 + ], + [ + 7603, + 10950 + ], + [ + 2064, + 8038 + ], + [ + 8225, + 10704 + ], + [ + 10562, + 11076 + ], + [ + 565, + 2699 + ], + [ + 6046, + 11268 + ], + [ + 3023, + 9814 + ], + [ + 1922, + 7581 + ], + [ + 160, + 4865 + ], + [ + 3773, + 8814 + ], + [ + 8599, + 8821 + ], + [ + 254, + 10162 + ], + [ + 4829, + 11304 + ], + [ + 1337, + 4676 + ], + [ + 4444, + 10739 + ], + [ + 308, + 10398 + ], + [ + 1330, + 6888 + ], + [ + 1667, + 4029 + ], + [ + 7592, + 9606 + ], + [ + 6341, + 10812 + ], + [ + 1701, + 2859 + ], + [ + 2701, + 7669 + ], + [ + 666, + 4629 + ], + [ + 1637, + 10953 + ], + [ + 10496, + 11553 + ], + [ + 8799, + 9232 + ], + [ + 2028, + 7576 + ], + [ + 6083, + 6208 + ], + [ + 2901, + 11113 + ], + [ + 6407, + 8025 + ], + [ + 6699, + 7645 + ], + [ + 3050, + 8203 + ], + [ + 5295, + 8609 + ], + [ + 2117, + 10250 + ], + [ + 1564, + 9512 + ], + [ + 934, + 9116 + ], + [ + 6973, + 10099 + ], + [ + 5156, + 8450 + ], + [ + 8220, + 9151 + ], + [ + 3640, + 8419 + ], + [ + 2024, + 10436 + ], + [ + 5071, + 10032 + ], + [ + 1425, + 3691 + ], + [ + 5688, + 10940 + ], + [ + 5820, + 11059 + ], + [ + 1608, + 1863 + ], + [ + 1534, + 3634 + ], + [ + 4902, + 7752 + ], + [ + 4862, + 8353 + ], + [ + 1655, + 5092 + ], + [ + 10192, + 10337 + ], + [ + 4285, + 5309 + ], + [ + 1849, + 8341 + ], + [ + 6768, + 8539 + ], + [ + 8, + 1380 + ], + [ + 10441, + 11041 + ], + [ + 789, + 1945 + ], + [ + 1048, + 9753 + ], + [ + 2437, + 5478 + ], + [ + 2146, + 4548 + ], + [ + 4618, + 8343 + ], + [ + 7049, + 11383 + ], + [ + 284, + 10296 + ], + [ + 375, + 3244 + ], + [ + 3145, + 6504 + ], + [ + 5333, + 10540 + ], + [ + 4977, + 8461 + ], + [ + 2021, + 2567 + ], + [ + 3244, + 4231 + ], + [ + 6382, + 8853 + ], + [ + 2449, + 5488 + ], + [ + 6597, + 9946 + ], + [ + 4572, + 7594 + ], + [ + 5291, + 7281 + ], + [ + 3264, + 8266 + ], + [ + 733, + 858 + ], + [ + 7336, + 10285 + ], + [ + 5656, + 9099 + ], + [ + 3999, + 4699 + ], + [ + 4661, + 10268 + ], + [ + 3283, + 5283 + ], + [ + 3157, + 6864 + ], + [ + 1906, + 8070 + ], + [ + 7726, + 9689 + ], + [ + 3245, + 5930 + ], + [ + 354, + 11011 + ], + [ + 4184, + 7081 + ], + [ + 8444, + 9151 + ], + [ + 6579, + 8966 + ], + [ + 3769, + 8559 + ], + [ + 2805, + 9041 + ], + [ + 5348, + 6660 + ], + [ + 1141, + 1972 + ], + [ + 10705, + 11221 + ], + [ + 5545, + 7174 + ], + [ + 2680, + 7060 + ], + [ + 7408, + 11450 + ], + [ + 63, + 7802 + ], + [ + 1242, + 2024 + ], + [ + 27, + 5139 + ], + [ + 4519, + 6778 + ], + [ + 8528, + 11481 + ], + [ + 2616, + 3103 + ], + [ + 3385, + 8569 + ], + [ + 2793, + 10909 + ], + [ + 1838, + 2809 + ], + [ + 6227, + 6979 + ], + [ + 3085, + 8277 + ], + [ + 1048, + 4410 + ], + [ + 2013, + 7536 + ], + [ + 280, + 8968 + ], + [ + 6806, + 9315 + ], + [ + 3919, + 6224 + ], + [ + 5152, + 9350 + ], + [ + 5718, + 5789 + ], + [ + 3882, + 6342 + ], + [ + 9599, + 11246 + ], + [ + 5070, + 11203 + ], + [ + 6951, + 9669 + ], + [ + 5595, + 6887 + ], + [ + 3821, + 8318 + ], + [ + 478, + 5950 + ], + [ + 2193, + 9574 + ], + [ + 4458, + 8380 + ], + [ + 7694, + 10127 + ], + [ + 230, + 5067 + ], + [ + 2286, + 6732 + ], + [ + 2351, + 7881 + ], + [ + 3893, + 6881 + ], + [ + 7822, + 8592 + ], + [ + 5014, + 9766 + ], + [ + 4670, + 9956 + ], + [ + 382, + 5838 + ], + [ + 6266, + 9162 + ], + [ + 2219, + 8893 + ], + [ + 2520, + 5623 + ], + [ + 1031, + 3251 + ], + [ + 1802, + 3128 + ], + [ + 8164, + 9460 + ], + [ + 659, + 7809 + ], + [ + 1893, + 8908 + ], + [ + 1459, + 6172 + ], + [ + 4043, + 6044 + ], + [ + 6293, + 10958 + ], + [ + 5543, + 9706 + ], + [ + 5634, + 5660 + ], + [ + 1856, + 3364 + ], + [ + 5295, + 6194 + ], + [ + 2619, + 8985 + ], + [ + 704, + 10211 + ], + [ + 3259, + 9345 + ], + [ + 955, + 7578 + ], + [ + 4595, + 7688 + ], + [ + 8896, + 9759 + ], + [ + 6344, + 10142 + ], + [ + 4035, + 6533 + ], + [ + 3472, + 7359 + ], + [ + 2666, + 9181 + ], + [ + 4366, + 4603 + ], + [ + 1095, + 10217 + ], + [ + 10775, + 10781 + ], + [ + 8066, + 11180 + ], + [ + 41, + 1357 + ], + [ + 1534, + 4602 + ], + [ + 7793, + 9301 + ], + [ + 1346, + 10967 + ], + [ + 3829, + 4371 + ], + [ + 1566, + 9021 + ], + [ + 9071, + 10672 + ], + [ + 5241, + 8186 + ], + [ + 473, + 11567 + ], + [ + 7219, + 9968 + ], + [ + 1653, + 5233 + ], + [ + 8375, + 9656 + ], + [ + 2145, + 5695 + ], + [ + 4452, + 6979 + ], + [ + 4827, + 6102 + ], + [ + 5605, + 6396 + ], + [ + 3726, + 3869 + ], + [ + 2141, + 8205 + ], + [ + 4228, + 5019 + ], + [ + 6101, + 9983 + ], + [ + 932, + 5850 + ], + [ + 2826, + 5275 + ], + [ + 5472, + 10189 + ], + [ + 1952, + 2267 + ], + [ + 4472, + 4598 + ], + [ + 6180, + 11215 + ], + [ + 5872, + 6898 + ], + [ + 10292, + 10381 + ], + [ + 1519, + 2385 + ], + [ + 4662, + 8105 + ], + [ + 10505, + 11428 + ], + [ + 4034, + 4372 + ], + [ + 4934, + 6349 + ], + [ + 337, + 11275 + ], + [ + 3601, + 8654 + ], + [ + 2223, + 10839 + ], + [ + 2381, + 11425 + ], + [ + 2286, + 8155 + ], + [ + 1684, + 3391 + ], + [ + 4178, + 4501 + ], + [ + 3775, + 9746 + ], + [ + 3592, + 10793 + ], + [ + 785, + 7651 + ], + [ + 1809, + 5722 + ], + [ + 1277, + 8113 + ], + [ + 7194, + 7413 + ], + [ + 7885, + 11468 + ], + [ + 461, + 9247 + ], + [ + 1333, + 2760 + ], + [ + 4144, + 6021 + ], + [ + 2206, + 5543 + ], + [ + 626, + 3807 + ], + [ + 2238, + 10716 + ], + [ + 5786, + 7854 + ], + [ + 4201, + 5774 + ], + [ + 1890, + 7000 + ], + [ + 1060, + 9926 + ], + [ + 2142, + 7221 + ], + [ + 3627, + 5687 + ], + [ + 3575, + 5497 + ], + [ + 5662, + 8727 + ], + [ + 1538, + 5794 + ], + [ + 6123, + 7624 + ], + [ + 9440, + 11053 + ], + [ + 5460, + 11252 + ], + [ + 4560, + 9275 + ], + [ + 980, + 1302 + ], + [ + 4183, + 7073 + ], + [ + 6053, + 6104 + ], + [ + 327, + 3366 + ], + [ + 5769, + 6345 + ], + [ + 6305, + 6325 + ], + [ + 7444, + 10570 + ], + [ + 1250, + 6266 + ], + [ + 5587, + 10246 + ], + [ + 6072, + 9537 + ], + [ + 5826, + 6098 + ], + [ + 5304, + 6925 + ], + [ + 4731, + 7063 + ], + [ + 510, + 11337 + ], + [ + 5603, + 7746 + ], + [ + 2218, + 11538 + ], + [ + 1055, + 8427 + ], + [ + 4551, + 5375 + ], + [ + 6605, + 6967 + ], + [ + 5607, + 7865 + ], + [ + 620, + 6220 + ], + [ + 6504, + 9544 + ], + [ + 10514, + 10685 + ], + [ + 1162, + 9428 + ], + [ + 6220, + 6752 + ], + [ + 6399, + 8969 + ], + [ + 7266, + 10806 + ], + [ + 113, + 7328 + ], + [ + 2940, + 3952 + ], + [ + 8208, + 9222 + ], + [ + 517, + 4937 + ], + [ + 5219, + 7352 + ], + [ + 387, + 2612 + ], + [ + 2076, + 11431 + ], + [ + 2288, + 3208 + ], + [ + 1006, + 11517 + ], + [ + 2938, + 10672 + ], + [ + 968, + 8781 + ], + [ + 2155, + 10034 + ], + [ + 3609, + 6935 + ], + [ + 7504, + 9816 + ], + [ + 2402, + 7659 + ], + [ + 5227, + 10626 + ], + [ + 1619, + 7021 + ], + [ + 6142, + 7219 + ], + [ + 994, + 6969 + ], + [ + 2709, + 8341 + ], + [ + 1501, + 6211 + ], + [ + 4494, + 10452 + ], + [ + 1874, + 4507 + ], + [ + 2772, + 5657 + ], + [ + 4670, + 6736 + ], + [ + 5253, + 8814 + ], + [ + 972, + 5867 + ], + [ + 3269, + 6463 + ], + [ + 7474, + 8826 + ], + [ + 4357, + 11120 + ], + [ + 5494, + 8876 + ], + [ + 2488, + 2865 + ], + [ + 1851, + 5462 + ], + [ + 5777, + 8410 + ], + [ + 483, + 1919 + ], + [ + 2666, + 5611 + ], + [ + 7459, + 9642 + ], + [ + 200, + 5014 + ], + [ + 7915, + 8195 + ], + [ + 1144, + 7263 + ], + [ + 2763, + 8927 + ], + [ + 5657, + 6773 + ], + [ + 328, + 7643 + ], + [ + 6742, + 7749 + ], + [ + 2566, + 4626 + ], + [ + 109, + 2617 + ], + [ + 575, + 8274 + ], + [ + 3899, + 5704 + ], + [ + 4737, + 6803 + ], + [ + 2130, + 7479 + ], + [ + 2722, + 5139 + ], + [ + 2498, + 3933 + ], + [ + 3678, + 7398 + ], + [ + 226, + 9968 + ], + [ + 5295, + 8235 + ], + [ + 6692, + 10264 + ], + [ + 412, + 6940 + ], + [ + 5133, + 9405 + ], + [ + 3760, + 8928 + ], + [ + 1561, + 5457 + ], + [ + 1681, + 10477 + ], + [ + 2478, + 4405 + ], + [ + 1115, + 11005 + ], + [ + 1643, + 11124 + ], + [ + 6156, + 6470 + ], + [ + 3699, + 8625 + ], + [ + 1976, + 3605 + ], + [ + 7799, + 9659 + ], + [ + 3494, + 3682 + ], + [ + 2912, + 4458 + ], + [ + 1405, + 3789 + ], + [ + 4307, + 6414 + ], + [ + 4959, + 11295 + ], + [ + 8040, + 8967 + ], + [ + 2863, + 3815 + ], + [ + 2956, + 9641 + ], + [ + 8193, + 9182 + ], + [ + 1687, + 9487 + ], + [ + 2113, + 11581 + ], + [ + 1549, + 3137 + ], + [ + 1557, + 7162 + ], + [ + 1987, + 6746 + ], + [ + 2552, + 5212 + ], + [ + 357, + 4923 + ], + [ + 680, + 10272 + ], + [ + 984, + 4267 + ], + [ + 2763, + 3934 + ], + [ + 4437, + 4551 + ], + [ + 2169, + 9611 + ], + [ + 4529, + 7523 + ], + [ + 10007, + 10159 + ], + [ + 5588, + 9530 + ], + [ + 3589, + 6147 + ], + [ + 3532, + 5613 + ], + [ + 7973, + 9973 + ], + [ + 4999, + 9889 + ], + [ + 7819, + 9506 + ], + [ + 479, + 6202 + ], + [ + 2380, + 6798 + ], + [ + 1041, + 11567 + ], + [ + 10019, + 10169 + ], + [ + 3716, + 11557 + ], + [ + 4836, + 11588 + ], + [ + 342, + 2706 + ], + [ + 4845, + 5665 + ], + [ + 6663, + 10168 + ], + [ + 9390, + 9594 + ], + [ + 960, + 8353 + ], + [ + 1242, + 11449 + ], + [ + 7364, + 7771 + ], + [ + 2604, + 4597 + ], + [ + 3015, + 6383 + ], + [ + 3318, + 3940 + ], + [ + 5460, + 6877 + ], + [ + 828, + 10119 + ], + [ + 1444, + 1757 + ], + [ + 1727, + 7707 + ], + [ + 4304, + 10572 + ], + [ + 1322, + 9873 + ], + [ + 4741, + 4911 + ], + [ + 10819, + 11484 + ], + [ + 2531, + 9195 + ], + [ + 10529, + 11156 + ], + [ + 6673, + 9701 + ], + [ + 6910, + 8890 + ], + [ + 6731, + 7427 + ], + [ + 3620, + 3874 + ], + [ + 2188, + 9206 + ], + [ + 7756, + 8352 + ], + [ + 5412, + 9438 + ], + [ + 6747, + 11343 + ], + [ + 1305, + 1948 + ], + [ + 5005, + 8525 + ], + [ + 3738, + 11450 + ], + [ + 3979, + 8129 + ], + [ + 1866, + 10094 + ], + [ + 2210, + 7652 + ], + [ + 832, + 2667 + ], + [ + 988, + 9596 + ], + [ + 2177, + 5260 + ], + [ + 1306, + 8185 + ], + [ + 5062, + 8278 + ], + [ + 3102, + 4823 + ], + [ + 4132, + 6092 + ], + [ + 181, + 11193 + ], + [ + 1389, + 6907 + ], + [ + 9042, + 9210 + ], + [ + 6763, + 8439 + ], + [ + 3038, + 4249 + ], + [ + 2850, + 10614 + ], + [ + 1260, + 1774 + ], + [ + 2863, + 4433 + ], + [ + 996, + 2667 + ], + [ + 3021, + 5019 + ], + [ + 3580, + 6703 + ], + [ + 885, + 6034 + ], + [ + 3614, + 6287 + ], + [ + 3312, + 11584 + ], + [ + 4140, + 5579 + ], + [ + 5333, + 10784 + ], + [ + 1739, + 10295 + ], + [ + 2623, + 7575 + ], + [ + 11140, + 11444 + ], + [ + 1560, + 8832 + ], + [ + 1028, + 2555 + ], + [ + 4288, + 4696 + ], + [ + 2576, + 7759 + ], + [ + 375, + 455 + ], + [ + 858, + 9499 + ], + [ + 221, + 6404 + ], + [ + 3296, + 8048 + ], + [ + 1952, + 8309 + ], + [ + 6814, + 8727 + ], + [ + 1613, + 2427 + ], + [ + 5005, + 11103 + ], + [ + 4341, + 5461 + ], + [ + 3544, + 4363 + ], + [ + 5691, + 8398 + ], + [ + 390, + 11316 + ], + [ + 1642, + 10712 + ], + [ + 7146, + 8153 + ], + [ + 6425, + 8393 + ], + [ + 671, + 3607 + ], + [ + 6581, + 8152 + ], + [ + 755, + 2554 + ], + [ + 3251, + 10907 + ], + [ + 1818, + 6215 + ], + [ + 2962, + 10804 + ], + [ + 10410, + 11167 + ], + [ + 4118, + 6328 + ], + [ + 4087, + 4763 + ], + [ + 2784, + 11441 + ], + [ + 1597, + 3772 + ], + [ + 3281, + 5831 + ], + [ + 6662, + 10965 + ], + [ + 373, + 9053 + ], + [ + 5553, + 8060 + ], + [ + 4772, + 8249 + ], + [ + 1281, + 5229 + ], + [ + 2962, + 7771 + ], + [ + 2623, + 3387 + ], + [ + 689, + 1153 + ], + [ + 5855, + 8398 + ], + [ + 2056, + 5225 + ], + [ + 717, + 6584 + ], + [ + 5099, + 9583 + ], + [ + 10171, + 10777 + ], + [ + 10900, + 11152 + ], + [ + 460, + 4484 + ], + [ + 3357, + 6765 + ], + [ + 6101, + 8804 + ], + [ + 2334, + 3634 + ], + [ + 2007, + 7211 + ], + [ + 8328, + 11290 + ], + [ + 6616, + 7183 + ], + [ + 2010, + 5230 + ], + [ + 4134, + 6807 + ], + [ + 791, + 10855 + ], + [ + 1766, + 8253 + ], + [ + 8109, + 9647 + ], + [ + 9869, + 10038 + ], + [ + 2816, + 10174 + ], + [ + 3750, + 6817 + ], + [ + 1293, + 8972 + ], + [ + 5212, + 9995 + ], + [ + 1685, + 11482 + ], + [ + 4739, + 8085 + ], + [ + 8223, + 9934 + ], + [ + 7851, + 8076 + ], + [ + 4616, + 6931 + ], + [ + 8064, + 9123 + ], + [ + 321, + 8058 + ], + [ + 8993, + 9586 + ], + [ + 2033, + 5749 + ], + [ + 1056, + 1862 + ], + [ + 8313, + 9827 + ], + [ + 1969, + 8208 + ], + [ + 92, + 8760 + ], + [ + 185, + 8951 + ], + [ + 364, + 4752 + ], + [ + 3328, + 4091 + ], + [ + 1183, + 10682 + ], + [ + 5135, + 8435 + ], + [ + 1763, + 6827 + ], + [ + 8249, + 9253 + ], + [ + 5014, + 10360 + ], + [ + 7686, + 10079 + ], + [ + 3223, + 3516 + ], + [ + 3042, + 4636 + ], + [ + 3565, + 6663 + ], + [ + 7405, + 7585 + ], + [ + 8613, + 9715 + ], + [ + 2194, + 2849 + ], + [ + 1493, + 8629 + ], + [ + 4201, + 11011 + ], + [ + 3382, + 7710 + ], + [ + 6305, + 11212 + ], + [ + 6334, + 9698 + ], + [ + 4539, + 10252 + ], + [ + 4026, + 4779 + ], + [ + 1760, + 3496 + ], + [ + 1078, + 2910 + ], + [ + 2066, + 10369 + ], + [ + 10032, + 10917 + ], + [ + 5491, + 8605 + ], + [ + 285, + 1961 + ], + [ + 10584, + 11430 + ], + [ + 2332, + 8798 + ], + [ + 2647, + 7089 + ], + [ + 9364, + 10414 + ], + [ + 3731, + 4457 + ], + [ + 6625, + 9473 + ], + [ + 3584, + 11577 + ], + [ + 2550, + 7156 + ], + [ + 6070, + 8662 + ], + [ + 10488, + 11318 + ], + [ + 7057, + 8349 + ], + [ + 343, + 8705 + ], + [ + 4, + 9239 + ], + [ + 2131, + 4728 + ], + [ + 5277, + 9965 + ], + [ + 3107, + 11396 + ], + [ + 2544, + 9970 + ], + [ + 4101, + 5838 + ], + [ + 235, + 7859 + ], + [ + 3633, + 10688 + ], + [ + 54, + 5569 + ], + [ + 5532, + 8205 + ], + [ + 389, + 7545 + ], + [ + 1755, + 2347 + ], + [ + 1634, + 10688 + ], + [ + 379, + 3824 + ], + [ + 133, + 385 + ], + [ + 7228, + 10274 + ], + [ + 1813, + 11370 + ], + [ + 1529, + 5949 + ], + [ + 476, + 724 + ], + [ + 1035, + 2408 + ], + [ + 1656, + 4970 + ], + [ + 2834, + 8389 + ], + [ + 2089, + 8235 + ], + [ + 33, + 154 + ], + [ + 1060, + 3404 + ], + [ + 3393, + 3657 + ], + [ + 6008, + 10012 + ], + [ + 1524, + 8234 + ], + [ + 7945, + 9511 + ], + [ + 901, + 2593 + ], + [ + 7067, + 9767 + ], + [ + 493, + 1078 + ], + [ + 1614, + 8127 + ], + [ + 864, + 3465 + ], + [ + 494, + 2434 + ], + [ + 4291, + 8944 + ], + [ + 3910, + 9252 + ], + [ + 171, + 1966 + ], + [ + 1301, + 6849 + ], + [ + 2861, + 7152 + ], + [ + 1419, + 4626 + ], + [ + 256, + 1515 + ], + [ + 5868, + 6595 + ], + [ + 4159, + 9175 + ], + [ + 2037, + 6890 + ], + [ + 1014, + 10175 + ], + [ + 1092, + 5170 + ], + [ + 2442, + 8107 + ], + [ + 1871, + 4908 + ], + [ + 6548, + 9710 + ], + [ + 5333, + 6409 + ], + [ + 3614, + 5295 + ], + [ + 3796, + 7029 + ], + [ + 2184, + 9919 + ], + [ + 835, + 9836 + ], + [ + 7153, + 10234 + ], + [ + 2764, + 6064 + ], + [ + 4608, + 9536 + ], + [ + 11066, + 11442 + ], + [ + 9581, + 10724 + ], + [ + 3755, + 4372 + ], + [ + 291, + 6181 + ], + [ + 4380, + 10059 + ], + [ + 6804, + 10430 + ], + [ + 7573, + 8726 + ], + [ + 5581, + 5733 + ], + [ + 3874, + 9140 + ], + [ + 1231, + 7907 + ], + [ + 3590, + 9381 + ], + [ + 4366, + 8848 + ], + [ + 171, + 1511 + ], + [ + 12, + 7116 + ], + [ + 5542, + 5778 + ], + [ + 4266, + 8617 + ], + [ + 2241, + 6265 + ], + [ + 4727, + 9766 + ], + [ + 6043, + 6703 + ], + [ + 2428, + 6091 + ], + [ + 3028, + 3612 + ], + [ + 184, + 5129 + ], + [ + 4301, + 4639 + ], + [ + 5497, + 9418 + ], + [ + 7220, + 10651 + ], + [ + 248, + 10217 + ], + [ + 2579, + 3227 + ], + [ + 5228, + 7658 + ], + [ + 3315, + 6301 + ], + [ + 3507, + 6471 + ], + [ + 2796, + 10809 + ], + [ + 107, + 9231 + ], + [ + 3226, + 10393 + ], + [ + 1132, + 5992 + ], + [ + 5342, + 5693 + ], + [ + 3931, + 5486 + ], + [ + 4648, + 10008 + ], + [ + 2542, + 6728 + ], + [ + 1231, + 10135 + ], + [ + 326, + 1398 + ], + [ + 166, + 3395 + ], + [ + 1497, + 7810 + ], + [ + 351, + 2394 + ], + [ + 631, + 11079 + ], + [ + 6977, + 7109 + ], + [ + 163, + 9513 + ], + [ + 5423, + 10758 + ], + [ + 1727, + 4300 + ], + [ + 1658, + 2251 + ], + [ + 3316, + 9505 + ], + [ + 1496, + 8339 + ], + [ + 6707, + 8911 + ], + [ + 5795, + 9583 + ], + [ + 5394, + 8485 + ], + [ + 8651, + 11109 + ], + [ + 8071, + 9302 + ], + [ + 218, + 10351 + ], + [ + 6045, + 6725 + ], + [ + 123, + 665 + ], + [ + 6414, + 8285 + ], + [ + 7534, + 8316 + ], + [ + 316, + 10105 + ], + [ + 523, + 1538 + ], + [ + 8113, + 10652 + ], + [ + 10009, + 10904 + ], + [ + 2113, + 3181 + ], + [ + 578, + 11044 + ], + [ + 4845, + 7869 + ], + [ + 7186, + 7983 + ], + [ + 7962, + 8204 + ], + [ + 1792, + 10710 + ], + [ + 2286, + 4829 + ], + [ + 2015, + 10193 + ], + [ + 3777, + 7247 + ], + [ + 5272, + 6401 + ], + [ + 1822, + 9798 + ], + [ + 4841, + 7346 + ], + [ + 1847, + 5132 + ], + [ + 6291, + 9009 + ], + [ + 8577, + 9416 + ], + [ + 3615, + 5384 + ], + [ + 5137, + 9367 + ], + [ + 402, + 8724 + ], + [ + 3300, + 7443 + ], + [ + 3448, + 3931 + ], + [ + 4695, + 9399 + ], + [ + 5285, + 6232 + ], + [ + 7117, + 8943 + ], + [ + 4176, + 10497 + ], + [ + 8648, + 10006 + ], + [ + 2478, + 10260 + ], + [ + 8046, + 8625 + ], + [ + 2669, + 6795 + ], + [ + 6502, + 6546 + ], + [ + 4031, + 4107 + ], + [ + 266, + 2016 + ], + [ + 1661, + 10388 + ], + [ + 348, + 10716 + ], + [ + 6617, + 8189 + ], + [ + 5237, + 8793 + ], + [ + 6892, + 10114 + ], + [ + 130, + 8544 + ], + [ + 8, + 445 + ], + [ + 4584, + 10857 + ], + [ + 821, + 3931 + ], + [ + 480, + 10054 + ], + [ + 3312, + 7022 + ], + [ + 2689, + 7797 + ], + [ + 695, + 4758 + ], + [ + 1940, + 10153 + ], + [ + 7406, + 11274 + ], + [ + 7447, + 11275 + ], + [ + 711, + 8674 + ], + [ + 1908, + 11369 + ], + [ + 2211, + 8172 + ], + [ + 5292, + 6598 + ], + [ + 3210, + 3712 + ], + [ + 1856, + 4039 + ], + [ + 2415, + 5723 + ], + [ + 7567, + 9098 + ], + [ + 272, + 4813 + ], + [ + 5592, + 6109 + ], + [ + 4105, + 10980 + ], + [ + 2421, + 5888 + ], + [ + 929, + 10415 + ], + [ + 5036, + 5073 + ], + [ + 1758, + 9516 + ], + [ + 4182, + 9887 + ], + [ + 5300, + 9091 + ], + [ + 3228, + 11057 + ], + [ + 4154, + 7839 + ], + [ + 3596, + 9009 + ], + [ + 4305, + 8008 + ], + [ + 7474, + 8533 + ], + [ + 975, + 10009 + ], + [ + 7754, + 10802 + ], + [ + 8191, + 10803 + ], + [ + 2057, + 6550 + ], + [ + 4030, + 8712 + ], + [ + 7657, + 10869 + ], + [ + 475, + 8905 + ], + [ + 8534, + 11142 + ], + [ + 1034, + 10589 + ], + [ + 8964, + 10726 + ], + [ + 2305, + 10035 + ], + [ + 4454, + 7727 + ], + [ + 4320, + 5283 + ], + [ + 2005, + 9743 + ], + [ + 89, + 2453 + ], + [ + 5324, + 7583 + ], + [ + 2984, + 10323 + ], + [ + 317, + 4532 + ], + [ + 3111, + 5180 + ], + [ + 5535, + 5551 + ], + [ + 9609, + 10649 + ], + [ + 5156, + 8938 + ], + [ + 5792, + 6116 + ], + [ + 212, + 9619 + ], + [ + 4966, + 6562 + ], + [ + 1016, + 8855 + ], + [ + 2079, + 8352 + ], + [ + 4407, + 8261 + ], + [ + 2734, + 9744 + ], + [ + 1576, + 6977 + ], + [ + 8016, + 8304 + ], + [ + 2811, + 7520 + ], + [ + 2899, + 7367 + ], + [ + 1608, + 5734 + ], + [ + 3117, + 8758 + ], + [ + 1687, + 3583 + ], + [ + 3084, + 6366 + ], + [ + 327, + 8229 + ], + [ + 141, + 4841 + ], + [ + 6972, + 9961 + ], + [ + 6165, + 8175 + ], + [ + 4515, + 4946 + ], + [ + 5633, + 10566 + ], + [ + 3742, + 4996 + ], + [ + 3367, + 3621 + ], + [ + 7563, + 9648 + ], + [ + 3107, + 4256 + ], + [ + 1370, + 8198 + ], + [ + 3429, + 10134 + ], + [ + 1557, + 1608 + ], + [ + 3164, + 8173 + ], + [ + 831, + 1504 + ], + [ + 5719, + 7307 + ], + [ + 2455, + 2758 + ], + [ + 581, + 6991 + ], + [ + 5381, + 10695 + ], + [ + 6434, + 8750 + ], + [ + 964, + 10893 + ], + [ + 3321, + 9288 + ], + [ + 802, + 6401 + ], + [ + 3001, + 3456 + ], + [ + 4188, + 4709 + ], + [ + 2629, + 8014 + ], + [ + 449, + 2341 + ], + [ + 5366, + 8882 + ], + [ + 5068, + 9417 + ], + [ + 8875, + 9475 + ], + [ + 3850, + 11480 + ], + [ + 6020, + 10803 + ], + [ + 3215, + 10740 + ], + [ + 7473, + 9731 + ], + [ + 1525, + 8866 + ], + [ + 8531, + 8884 + ], + [ + 3205, + 7019 + ], + [ + 5230, + 9371 + ], + [ + 8652, + 10342 + ], + [ + 5940, + 11224 + ], + [ + 1246, + 6418 + ], + [ + 2519, + 6691 + ], + [ + 939, + 11371 + ], + [ + 4201, + 8677 + ], + [ + 1145, + 8995 + ], + [ + 832, + 4334 + ], + [ + 933, + 11556 + ], + [ + 3894, + 11378 + ], + [ + 4692, + 8914 + ], + [ + 1328, + 1505 + ], + [ + 3351, + 7194 + ], + [ + 3454, + 3909 + ], + [ + 639, + 10328 + ], + [ + 9396, + 11375 + ], + [ + 1516, + 4185 + ], + [ + 3135, + 5849 + ], + [ + 6808, + 7597 + ], + [ + 1013, + 3564 + ], + [ + 6116, + 6323 + ], + [ + 8110, + 9362 + ], + [ + 8476, + 11405 + ], + [ + 6707, + 6764 + ], + [ + 1258, + 6778 + ], + [ + 3443, + 7133 + ], + [ + 979, + 7363 + ], + [ + 263, + 7947 + ], + [ + 9879, + 10970 + ], + [ + 8814, + 10646 + ], + [ + 1291, + 1973 + ], + [ + 3206, + 6439 + ], + [ + 3421, + 7559 + ], + [ + 5544, + 7036 + ], + [ + 1160, + 3210 + ], + [ + 9157, + 10985 + ], + [ + 5540, + 9546 + ], + [ + 6142, + 7894 + ], + [ + 2178, + 2964 + ], + [ + 1706, + 3154 + ], + [ + 4265, + 9577 + ], + [ + 7375, + 8741 + ], + [ + 6162, + 6267 + ], + [ + 8030, + 10133 + ], + [ + 6158, + 8777 + ], + [ + 3228, + 4104 + ], + [ + 810, + 5433 + ], + [ + 10951, + 11310 + ], + [ + 397, + 9990 + ], + [ + 458, + 4227 + ], + [ + 1111, + 5546 + ], + [ + 37, + 1726 + ], + [ + 7230, + 11396 + ], + [ + 10129, + 10340 + ], + [ + 7104, + 8813 + ], + [ + 4058, + 10573 + ], + [ + 4767, + 9572 + ], + [ + 6917, + 10118 + ], + [ + 635, + 5967 + ], + [ + 1996, + 9093 + ], + [ + 38, + 1547 + ], + [ + 1706, + 2349 + ], + [ + 1898, + 8935 + ], + [ + 5265, + 10199 + ], + [ + 3914, + 7037 + ], + [ + 273, + 1040 + ], + [ + 4198, + 10179 + ], + [ + 2111, + 6949 + ], + [ + 3159, + 5414 + ], + [ + 2546, + 6877 + ], + [ + 7021, + 10067 + ], + [ + 2315, + 3746 + ], + [ + 1256, + 7374 + ], + [ + 1846, + 4207 + ], + [ + 9812, + 11171 + ], + [ + 7203, + 8768 + ], + [ + 484, + 8026 + ], + [ + 1029, + 5116 + ], + [ + 1058, + 10772 + ], + [ + 2495, + 9167 + ], + [ + 6099, + 9620 + ], + [ + 2549, + 9403 + ], + [ + 10119, + 11449 + ], + [ + 4518, + 7659 + ], + [ + 2677, + 7868 + ], + [ + 3983, + 4871 + ], + [ + 1708, + 8006 + ], + [ + 92, + 4361 + ], + [ + 10360, + 11511 + ], + [ + 2860, + 3788 + ], + [ + 1244, + 6559 + ], + [ + 9539, + 11547 + ], + [ + 3319, + 8274 + ], + [ + 4939, + 6376 + ], + [ + 1448, + 3356 + ], + [ + 1262, + 4886 + ], + [ + 484, + 3838 + ], + [ + 2466, + 9526 + ], + [ + 2311, + 6205 + ], + [ + 5714, + 6372 + ], + [ + 4406, + 9296 + ], + [ + 4838, + 9707 + ], + [ + 8322, + 11556 + ], + [ + 3064, + 4722 + ], + [ + 7890, + 8893 + ], + [ + 8387, + 9699 + ], + [ + 574, + 3731 + ], + [ + 1909, + 7888 + ], + [ + 5744, + 8466 + ], + [ + 6983, + 9909 + ], + [ + 4777, + 5267 + ], + [ + 6946, + 10781 + ], + [ + 3610, + 4666 + ], + [ + 4764, + 9943 + ], + [ + 781, + 799 + ], + [ + 8402, + 9226 + ], + [ + 4823, + 10523 + ], + [ + 3020, + 4800 + ], + [ + 4328, + 7511 + ], + [ + 498, + 5025 + ], + [ + 6657, + 6864 + ], + [ + 5655, + 11026 + ], + [ + 6462, + 9806 + ], + [ + 2386, + 3881 + ], + [ + 920, + 3213 + ], + [ + 1360, + 9901 + ], + [ + 2723, + 3274 + ], + [ + 4345, + 7865 + ], + [ + 1265, + 6631 + ], + [ + 205, + 7405 + ], + [ + 10357, + 10408 + ], + [ + 863, + 6062 + ], + [ + 3258, + 7193 + ], + [ + 2258, + 8018 + ], + [ + 8287, + 8313 + ], + [ + 5363, + 11002 + ], + [ + 7259, + 11254 + ], + [ + 3995, + 7459 + ], + [ + 2725, + 10113 + ], + [ + 595, + 10219 + ], + [ + 1603, + 3593 + ], + [ + 3363, + 10400 + ], + [ + 2196, + 10523 + ], + [ + 381, + 9701 + ], + [ + 6286, + 7486 + ], + [ + 7280, + 9098 + ], + [ + 4611, + 8896 + ], + [ + 3016, + 3122 + ], + [ + 4053, + 7814 + ], + [ + 6632, + 7342 + ], + [ + 1242, + 7936 + ], + [ + 4330, + 9785 + ], + [ + 4755, + 9025 + ], + [ + 11262, + 11574 + ], + [ + 4220, + 5483 + ], + [ + 7528, + 8796 + ], + [ + 1205, + 8808 + ], + [ + 8873, + 11389 + ], + [ + 7027, + 11254 + ], + [ + 4439, + 9728 + ], + [ + 3792, + 5945 + ], + [ + 5750, + 7075 + ], + [ + 2672, + 5914 + ], + [ + 3006, + 5036 + ], + [ + 6207, + 8482 + ], + [ + 5069, + 7091 + ], + [ + 355, + 3161 + ], + [ + 976, + 5723 + ], + [ + 5495, + 9185 + ], + [ + 3432, + 4097 + ], + [ + 9718, + 11373 + ], + [ + 1664, + 7228 + ], + [ + 4931, + 10540 + ], + [ + 5301, + 9319 + ], + [ + 3059, + 8430 + ], + [ + 4334, + 6120 + ], + [ + 8668, + 10583 + ], + [ + 1598, + 8860 + ], + [ + 1407, + 5128 + ], + [ + 285, + 8434 + ], + [ + 352, + 10410 + ], + [ + 388, + 5903 + ], + [ + 3552, + 6084 + ], + [ + 5427, + 11121 + ], + [ + 3651, + 9473 + ], + [ + 4265, + 5202 + ], + [ + 999, + 11160 + ], + [ + 8724, + 10111 + ], + [ + 6620, + 9186 + ], + [ + 1205, + 11036 + ], + [ + 4166, + 4442 + ], + [ + 5511, + 7035 + ], + [ + 960, + 4035 + ], + [ + 497, + 2813 + ], + [ + 1424, + 8865 + ], + [ + 4761, + 11418 + ], + [ + 6473, + 9109 + ], + [ + 7469, + 10794 + ], + [ + 262, + 2946 + ], + [ + 2254, + 2906 + ], + [ + 5970, + 8488 + ], + [ + 3534, + 4350 + ], + [ + 5068, + 9848 + ], + [ + 1537, + 3265 + ], + [ + 9945, + 10574 + ], + [ + 3242, + 3949 + ], + [ + 4215, + 11100 + ], + [ + 2781, + 8435 + ], + [ + 1850, + 4893 + ], + [ + 8562, + 8628 + ], + [ + 661, + 6977 + ], + [ + 7944, + 9747 + ], + [ + 6299, + 6862 + ], + [ + 939, + 2003 + ], + [ + 8564, + 8674 + ], + [ + 5205, + 5773 + ], + [ + 2736, + 5659 + ], + [ + 688, + 8019 + ], + [ + 4666, + 11157 + ], + [ + 3607, + 8369 + ], + [ + 3051, + 3950 + ], + [ + 6254, + 9721 + ], + [ + 2068, + 5910 + ], + [ + 5619, + 8981 + ], + [ + 3597, + 11064 + ], + [ + 1425, + 9416 + ], + [ + 8152, + 10019 + ], + [ + 545, + 8091 + ], + [ + 4466, + 10695 + ], + [ + 1443, + 9241 + ], + [ + 2625, + 3734 + ], + [ + 2248, + 7948 + ], + [ + 642, + 4991 + ], + [ + 565, + 3081 + ], + [ + 6703, + 9705 + ], + [ + 4743, + 5496 + ], + [ + 4146, + 7492 + ], + [ + 10212, + 11052 + ], + [ + 193, + 10268 + ], + [ + 5138, + 6025 + ], + [ + 2178, + 3395 + ], + [ + 3215, + 7333 + ], + [ + 8313, + 10502 + ], + [ + 2284, + 3791 + ], + [ + 1654, + 9811 + ], + [ + 3951, + 10407 + ], + [ + 4820, + 10819 + ], + [ + 496, + 628 + ], + [ + 1645, + 5561 + ], + [ + 3613, + 5127 + ], + [ + 6159, + 8679 + ], + [ + 307, + 8276 + ], + [ + 5498, + 6718 + ], + [ + 1802, + 7430 + ], + [ + 425, + 5299 + ], + [ + 1012, + 2615 + ], + [ + 3425, + 5049 + ], + [ + 6061, + 9275 + ], + [ + 8743, + 9682 + ], + [ + 3165, + 9848 + ], + [ + 3690, + 6286 + ], + [ + 4259, + 8658 + ], + [ + 7024, + 11574 + ], + [ + 8449, + 9235 + ], + [ + 3655, + 7231 + ], + [ + 5003, + 9341 + ], + [ + 4774, + 7791 + ], + [ + 1785, + 5921 + ], + [ + 444, + 9863 + ], + [ + 1278, + 3646 + ], + [ + 1909, + 6896 + ], + [ + 2470, + 2991 + ], + [ + 5649, + 10620 + ], + [ + 1568, + 4351 + ], + [ + 2618, + 8524 + ], + [ + 3573, + 3792 + ], + [ + 2080, + 11100 + ], + [ + 1366, + 6095 + ], + [ + 2336, + 6559 + ], + [ + 6818, + 7510 + ], + [ + 5218, + 10060 + ], + [ + 4350, + 11004 + ], + [ + 5002, + 8715 + ], + [ + 5372, + 7494 + ], + [ + 6932, + 7797 + ], + [ + 1149, + 4525 + ], + [ + 240, + 8878 + ], + [ + 5899, + 10394 + ], + [ + 10381, + 10591 + ], + [ + 2074, + 8252 + ], + [ + 415, + 773 + ], + [ + 2094, + 2488 + ], + [ + 72, + 10233 + ], + [ + 8862, + 10262 + ], + [ + 227, + 7892 + ], + [ + 4247, + 9721 + ], + [ + 1415, + 5583 + ], + [ + 1100, + 10675 + ], + [ + 6112, + 7654 + ], + [ + 4152, + 10615 + ], + [ + 3438, + 4856 + ], + [ + 2064, + 7160 + ], + [ + 2807, + 4989 + ], + [ + 374, + 7538 + ], + [ + 56, + 2533 + ], + [ + 3113, + 8479 + ], + [ + 4422, + 4999 + ], + [ + 342, + 1584 + ], + [ + 1677, + 3489 + ], + [ + 837, + 5727 + ], + [ + 5379, + 6729 + ], + [ + 6380, + 9512 + ], + [ + 9119, + 10453 + ], + [ + 5191, + 7432 + ], + [ + 1172, + 2041 + ], + [ + 2556, + 10224 + ], + [ + 1271, + 6184 + ], + [ + 8666, + 9195 + ], + [ + 51, + 1785 + ], + [ + 2822, + 7899 + ], + [ + 2142, + 8140 + ], + [ + 9518, + 11101 + ], + [ + 1015, + 6938 + ], + [ + 4754, + 7808 + ], + [ + 1886, + 4013 + ], + [ + 1571, + 2689 + ], + [ + 239, + 5219 + ], + [ + 2260, + 10081 + ], + [ + 7363, + 9430 + ], + [ + 1415, + 7811 + ], + [ + 489, + 4613 + ], + [ + 2843, + 5743 + ], + [ + 5809, + 6663 + ], + [ + 5270, + 5631 + ], + [ + 2561, + 10194 + ], + [ + 288, + 4330 + ], + [ + 4954, + 11252 + ], + [ + 1946, + 5168 + ], + [ + 941, + 2643 + ], + [ + 2558, + 9896 + ], + [ + 722, + 10449 + ], + [ + 3647, + 8362 + ], + [ + 4428, + 8173 + ], + [ + 5486, + 7326 + ], + [ + 751, + 2519 + ], + [ + 4329, + 8167 + ], + [ + 8687, + 10772 + ], + [ + 9029, + 9755 + ], + [ + 7343, + 11033 + ], + [ + 1248, + 6708 + ], + [ + 10605, + 10968 + ], + [ + 2331, + 4605 + ], + [ + 1145, + 6206 + ], + [ + 7590, + 7877 + ], + [ + 4845, + 7121 + ], + [ + 2078, + 3378 + ], + [ + 4438, + 8460 + ], + [ + 2685, + 4352 + ], + [ + 5551, + 11484 + ], + [ + 2414, + 8962 + ], + [ + 6198, + 8851 + ], + [ + 5963, + 9708 + ], + [ + 3184, + 8614 + ], + [ + 3178, + 4635 + ], + [ + 8183, + 11023 + ], + [ + 540, + 7910 + ], + [ + 5984, + 6798 + ], + [ + 6051, + 8774 + ], + [ + 1837, + 9331 + ], + [ + 5799, + 11182 + ], + [ + 5973, + 6639 + ], + [ + 2958, + 9964 + ], + [ + 2397, + 7453 + ], + [ + 4348, + 5160 + ], + [ + 1180, + 7489 + ], + [ + 1770, + 10738 + ], + [ + 4485, + 7875 + ], + [ + 9643, + 10341 + ], + [ + 7031, + 8421 + ], + [ + 9333, + 9361 + ], + [ + 3977, + 6156 + ], + [ + 3323, + 7618 + ], + [ + 2149, + 10734 + ], + [ + 559, + 1894 + ], + [ + 5032, + 10673 + ], + [ + 1269, + 3747 + ], + [ + 1479, + 4523 + ], + [ + 2506, + 4363 + ], + [ + 1699, + 2577 + ], + [ + 111, + 980 + ], + [ + 1172, + 10230 + ], + [ + 917, + 2541 + ], + [ + 1174, + 10276 + ], + [ + 1441, + 7422 + ], + [ + 2781, + 9671 + ], + [ + 8450, + 9623 + ], + [ + 3025, + 10031 + ], + [ + 2376, + 5421 + ], + [ + 3282, + 11350 + ], + [ + 4550, + 4863 + ], + [ + 3270, + 3419 + ], + [ + 2841, + 4437 + ], + [ + 2495, + 3800 + ], + [ + 535, + 9013 + ], + [ + 3621, + 7783 + ], + [ + 8060, + 11316 + ], + [ + 6857, + 9530 + ], + [ + 10047, + 10932 + ], + [ + 126, + 11437 + ], + [ + 332, + 4897 + ], + [ + 2381, + 5391 + ], + [ + 9548, + 10430 + ], + [ + 6437, + 7631 + ], + [ + 5566, + 10556 + ], + [ + 3911, + 6983 + ], + [ + 3047, + 11079 + ], + [ + 1235, + 9774 + ], + [ + 1134, + 3306 + ], + [ + 6887, + 7867 + ], + [ + 7117, + 10773 + ], + [ + 1356, + 11232 + ], + [ + 1731, + 11109 + ], + [ + 487, + 9322 + ], + [ + 3116, + 5961 + ], + [ + 271, + 7223 + ], + [ + 7539, + 8961 + ], + [ + 4746, + 11167 + ], + [ + 2346, + 2522 + ], + [ + 4997, + 8534 + ], + [ + 2119, + 4051 + ], + [ + 317, + 3434 + ], + [ + 3064, + 9154 + ], + [ + 4860, + 5038 + ], + [ + 1227, + 9482 + ], + [ + 718, + 7161 + ], + [ + 7533, + 7611 + ], + [ + 721, + 10842 + ], + [ + 1153, + 7089 + ], + [ + 2643, + 5899 + ], + [ + 4198, + 9268 + ], + [ + 6076, + 8160 + ], + [ + 3447, + 10797 + ], + [ + 1874, + 10232 + ], + [ + 7614, + 10424 + ], + [ + 2452, + 9714 + ], + [ + 1108, + 4313 + ], + [ + 746, + 9559 + ], + [ + 684, + 2265 + ], + [ + 522, + 3435 + ], + [ + 5993, + 11316 + ], + [ + 4226, + 7502 + ], + [ + 671, + 6941 + ], + [ + 2706, + 9981 + ], + [ + 552, + 9693 + ], + [ + 2911, + 7003 + ], + [ + 514, + 9209 + ], + [ + 270, + 6597 + ], + [ + 2105, + 8825 + ], + [ + 5116, + 8010 + ], + [ + 114, + 9467 + ], + [ + 3942, + 11126 + ], + [ + 1604, + 4113 + ], + [ + 7643, + 9260 + ], + [ + 1729, + 9477 + ], + [ + 7429, + 10994 + ], + [ + 1156, + 3199 + ], + [ + 476, + 9856 + ], + [ + 6059, + 10034 + ], + [ + 7038, + 9860 + ], + [ + 3557, + 8282 + ], + [ + 7292, + 7498 + ], + [ + 2839, + 5787 + ], + [ + 5172, + 6040 + ], + [ + 589, + 10672 + ], + [ + 6537, + 9285 + ], + [ + 625, + 3913 + ], + [ + 7911, + 10364 + ], + [ + 654, + 2399 + ], + [ + 3360, + 8118 + ], + [ + 873, + 7398 + ], + [ + 1991, + 10766 + ], + [ + 9582, + 11437 + ], + [ + 586, + 10751 + ], + [ + 4660, + 9433 + ], + [ + 7339, + 11077 + ], + [ + 4842, + 8915 + ], + [ + 8147, + 9301 + ], + [ + 8177, + 10641 + ], + [ + 7523, + 9851 + ], + [ + 789, + 3913 + ], + [ + 1313, + 6542 + ], + [ + 2443, + 7261 + ], + [ + 795, + 5613 + ], + [ + 2255, + 7964 + ], + [ + 412, + 11510 + ], + [ + 11243, + 11418 + ], + [ + 3407, + 3746 + ], + [ + 1745, + 6172 + ], + [ + 695, + 11044 + ], + [ + 2397, + 3883 + ], + [ + 4055, + 11137 + ], + [ + 3542, + 9074 + ], + [ + 2924, + 3777 + ], + [ + 713, + 5207 + ], + [ + 4259, + 7934 + ], + [ + 6779, + 8013 + ], + [ + 5345, + 6102 + ], + [ + 121, + 4514 + ], + [ + 4386, + 11092 + ], + [ + 3537, + 4916 + ], + [ + 610, + 11094 + ], + [ + 1665, + 3560 + ], + [ + 544, + 10474 + ], + [ + 2142, + 6343 + ], + [ + 2106, + 4434 + ], + [ + 1575, + 4017 + ], + [ + 2377, + 3207 + ], + [ + 4529, + 6832 + ], + [ + 11251, + 11255 + ], + [ + 2872, + 9602 + ], + [ + 2624, + 9500 + ], + [ + 2166, + 7868 + ], + [ + 9069, + 11171 + ], + [ + 286, + 2487 + ], + [ + 3995, + 6898 + ], + [ + 3517, + 3890 + ], + [ + 6517, + 9302 + ], + [ + 5609, + 9716 + ], + [ + 2338, + 2498 + ], + [ + 1631, + 11496 + ], + [ + 1912, + 10203 + ], + [ + 1279, + 10290 + ], + [ + 3773, + 11400 + ], + [ + 412, + 7672 + ], + [ + 4106, + 11051 + ], + [ + 4706, + 8572 + ], + [ + 6941, + 7536 + ], + [ + 3921, + 10517 + ], + [ + 10392, + 11157 + ], + [ + 2481, + 4654 + ], + [ + 6402, + 7258 + ], + [ + 10827, + 11085 + ], + [ + 1425, + 10465 + ], + [ + 2110, + 4152 + ], + [ + 988, + 3294 + ], + [ + 1418, + 9294 + ], + [ + 2010, + 6954 + ], + [ + 1702, + 2637 + ], + [ + 2847, + 10080 + ], + [ + 2252, + 6487 + ], + [ + 7145, + 8470 + ], + [ + 1102, + 3581 + ], + [ + 5659, + 9779 + ], + [ + 8789, + 11130 + ], + [ + 386, + 1913 + ], + [ + 2695, + 4024 + ], + [ + 8518, + 9324 + ], + [ + 10252, + 10746 + ], + [ + 1164, + 7842 + ], + [ + 1446, + 10938 + ], + [ + 2468, + 10434 + ], + [ + 2411, + 7648 + ], + [ + 2032, + 11035 + ], + [ + 690, + 5707 + ], + [ + 2995, + 3912 + ], + [ + 4858, + 8188 + ], + [ + 4328, + 4990 + ], + [ + 1781, + 10635 + ], + [ + 2249, + 5785 + ], + [ + 147, + 1523 + ], + [ + 2110, + 2997 + ], + [ + 5265, + 6068 + ], + [ + 4179, + 4867 + ], + [ + 4788, + 5914 + ], + [ + 4134, + 7376 + ], + [ + 58, + 7867 + ], + [ + 2487, + 8582 + ], + [ + 4858, + 5155 + ], + [ + 2304, + 9629 + ], + [ + 7378, + 7486 + ], + [ + 4764, + 11155 + ], + [ + 1741, + 4039 + ], + [ + 5976, + 7742 + ], + [ + 2676, + 8454 + ], + [ + 4417, + 11047 + ], + [ + 1363, + 8028 + ], + [ + 8646, + 10798 + ], + [ + 10542, + 11050 + ], + [ + 1366, + 8299 + ], + [ + 2364, + 6647 + ], + [ + 335, + 10969 + ], + [ + 1450, + 10656 + ], + [ + 1042, + 9141 + ], + [ + 4347, + 8773 + ], + [ + 3069, + 11539 + ], + [ + 7793, + 11269 + ], + [ + 1224, + 7842 + ], + [ + 1745, + 6790 + ], + [ + 3204, + 10451 + ], + [ + 98, + 826 + ], + [ + 650, + 1339 + ], + [ + 10456, + 10875 + ], + [ + 4071, + 9255 + ], + [ + 3706, + 8568 + ], + [ + 4322, + 6622 + ], + [ + 896, + 8161 + ], + [ + 3518, + 8517 + ], + [ + 2729, + 7310 + ], + [ + 888, + 1103 + ], + [ + 5497, + 7491 + ], + [ + 5029, + 5171 + ], + [ + 3788, + 9317 + ], + [ + 44, + 6605 + ], + [ + 5532, + 9929 + ], + [ + 2628, + 4225 + ], + [ + 5406, + 10756 + ], + [ + 1294, + 5174 + ], + [ + 7071, + 7877 + ], + [ + 7110, + 7805 + ], + [ + 6487, + 8580 + ], + [ + 10377, + 11117 + ], + [ + 8220, + 9777 + ], + [ + 4579, + 10196 + ], + [ + 1561, + 9840 + ], + [ + 432, + 5559 + ], + [ + 7787, + 10649 + ], + [ + 2467, + 9353 + ], + [ + 6908, + 7297 + ], + [ + 5703, + 11100 + ], + [ + 9550, + 10557 + ], + [ + 2391, + 3127 + ], + [ + 281, + 9527 + ], + [ + 1122, + 3727 + ], + [ + 3670, + 7352 + ], + [ + 939, + 10436 + ], + [ + 3428, + 11202 + ], + [ + 641, + 6837 + ], + [ + 5446, + 5967 + ], + [ + 1356, + 1864 + ], + [ + 7806, + 8797 + ], + [ + 7339, + 10085 + ], + [ + 6181, + 9570 + ], + [ + 830, + 5955 + ], + [ + 1410, + 2100 + ], + [ + 833, + 10390 + ], + [ + 3744, + 5961 + ], + [ + 473, + 11575 + ], + [ + 1068, + 8752 + ], + [ + 4461, + 8231 + ], + [ + 1539, + 1921 + ], + [ + 7137, + 11075 + ], + [ + 4871, + 10546 + ], + [ + 5211, + 6450 + ], + [ + 436, + 8660 + ], + [ + 2829, + 8964 + ], + [ + 258, + 3635 + ], + [ + 192, + 5267 + ], + [ + 4046, + 5895 + ], + [ + 6532, + 7144 + ], + [ + 1895, + 5124 + ], + [ + 778, + 8774 + ], + [ + 831, + 8408 + ], + [ + 8869, + 9768 + ], + [ + 901, + 6895 + ], + [ + 2792, + 6803 + ], + [ + 118, + 10421 + ], + [ + 1298, + 10503 + ], + [ + 6688, + 11040 + ], + [ + 2667, + 11238 + ], + [ + 241, + 8542 + ], + [ + 3316, + 5268 + ], + [ + 1171, + 5443 + ], + [ + 4063, + 9632 + ], + [ + 1880, + 4442 + ], + [ + 2934, + 6105 + ], + [ + 7770, + 10964 + ], + [ + 480, + 7777 + ], + [ + 6364, + 11101 + ], + [ + 1851, + 8585 + ], + [ + 6427, + 8417 + ], + [ + 598, + 8964 + ], + [ + 5357, + 8503 + ], + [ + 3251, + 5223 + ], + [ + 2711, + 7753 + ], + [ + 900, + 2886 + ], + [ + 691, + 2712 + ], + [ + 3242, + 10772 + ], + [ + 6750, + 10763 + ], + [ + 6722, + 8715 + ], + [ + 3308, + 8359 + ], + [ + 402, + 5992 + ], + [ + 4323, + 7842 + ], + [ + 1269, + 1413 + ], + [ + 740, + 5233 + ], + [ + 1330, + 2066 + ], + [ + 3016, + 4952 + ], + [ + 270, + 2840 + ], + [ + 4819, + 5013 + ], + [ + 834, + 4868 + ], + [ + 5536, + 7283 + ], + [ + 7220, + 9342 + ], + [ + 448, + 11248 + ], + [ + 5499, + 8155 + ], + [ + 7462, + 8875 + ], + [ + 9222, + 10020 + ], + [ + 3778, + 6214 + ], + [ + 7518, + 9938 + ], + [ + 2727, + 7451 + ], + [ + 136, + 6408 + ], + [ + 4905, + 10799 + ], + [ + 196, + 797 + ], + [ + 2565, + 7123 + ], + [ + 3683, + 6327 + ], + [ + 4211, + 6446 + ], + [ + 8343, + 8516 + ], + [ + 4298, + 9074 + ], + [ + 962, + 2959 + ], + [ + 2336, + 10454 + ], + [ + 720, + 6809 + ], + [ + 8182, + 11042 + ], + [ + 615, + 2851 + ], + [ + 3142, + 6353 + ], + [ + 7692, + 11380 + ], + [ + 1185, + 1661 + ], + [ + 498, + 11311 + ], + [ + 1830, + 9535 + ], + [ + 7931, + 10642 + ], + [ + 1487, + 8415 + ], + [ + 6848, + 9712 + ], + [ + 1208, + 6748 + ], + [ + 6598, + 9537 + ], + [ + 296, + 3256 + ], + [ + 454, + 11012 + ], + [ + 2175, + 9166 + ], + [ + 981, + 6742 + ], + [ + 862, + 9494 + ], + [ + 84, + 8446 + ], + [ + 3929, + 5578 + ], + [ + 9135, + 9970 + ], + [ + 10317, + 10879 + ], + [ + 4984, + 7843 + ], + [ + 6613, + 10195 + ], + [ + 5147, + 9527 + ], + [ + 4951, + 5451 + ], + [ + 2530, + 3099 + ], + [ + 2215, + 8191 + ], + [ + 4338, + 6914 + ], + [ + 3653, + 6811 + ], + [ + 6576, + 10313 + ], + [ + 1597, + 2894 + ], + [ + 561, + 8226 + ], + [ + 6765, + 6802 + ], + [ + 1310, + 2837 + ], + [ + 1334, + 7395 + ], + [ + 4229, + 8849 + ], + [ + 3415, + 6646 + ], + [ + 2556, + 4670 + ], + [ + 123, + 4967 + ], + [ + 3941, + 5938 + ], + [ + 1829, + 10757 + ], + [ + 10194, + 10822 + ], + [ + 180, + 4720 + ], + [ + 10195, + 11424 + ], + [ + 5463, + 10298 + ], + [ + 3166, + 6292 + ], + [ + 10000, + 10956 + ], + [ + 3529, + 3900 + ], + [ + 4031, + 9214 + ], + [ + 6493, + 7403 + ], + [ + 6400, + 11376 + ], + [ + 285, + 11337 + ], + [ + 720, + 11265 + ], + [ + 6177, + 8860 + ], + [ + 3586, + 7817 + ], + [ + 2559, + 3813 + ], + [ + 619, + 7426 + ], + [ + 1186, + 3309 + ], + [ + 64, + 6615 + ], + [ + 4267, + 7397 + ], + [ + 4671, + 5760 + ], + [ + 521, + 3858 + ], + [ + 1646, + 4233 + ], + [ + 658, + 10737 + ], + [ + 6933, + 7301 + ], + [ + 4973, + 6098 + ], + [ + 5449, + 6027 + ], + [ + 1110, + 1220 + ], + [ + 3751, + 5790 + ], + [ + 3628, + 6888 + ], + [ + 1976, + 6996 + ], + [ + 4780, + 9086 + ], + [ + 3789, + 5493 + ], + [ + 7025, + 7240 + ], + [ + 1758, + 11240 + ], + [ + 5937, + 5966 + ], + [ + 11276, + 11476 + ], + [ + 1102, + 3207 + ], + [ + 5365, + 8958 + ], + [ + 4780, + 6053 + ], + [ + 6242, + 9231 + ], + [ + 265, + 3464 + ], + [ + 4184, + 10903 + ], + [ + 2410, + 5918 + ], + [ + 4151, + 9265 + ], + [ + 9660, + 10460 + ], + [ + 1260, + 1514 + ], + [ + 8531, + 9185 + ], + [ + 5303, + 11463 + ], + [ + 5389, + 10483 + ], + [ + 1629, + 9490 + ], + [ + 2558, + 9953 + ], + [ + 1503, + 11071 + ], + [ + 7633, + 11418 + ], + [ + 4388, + 5421 + ], + [ + 2834, + 8316 + ], + [ + 2022, + 6940 + ], + [ + 427, + 9834 + ], + [ + 5998, + 8497 + ], + [ + 3645, + 10975 + ], + [ + 896, + 2176 + ], + [ + 5842, + 7203 + ], + [ + 2208, + 2377 + ], + [ + 6786, + 9452 + ], + [ + 9525, + 10393 + ], + [ + 711, + 6560 + ], + [ + 5351, + 8097 + ], + [ + 458, + 1950 + ], + [ + 3262, + 4040 + ], + [ + 3599, + 6843 + ], + [ + 2350, + 4712 + ], + [ + 2351, + 8320 + ], + [ + 4412, + 10329 + ], + [ + 171, + 1893 + ], + [ + 8214, + 10767 + ], + [ + 3156, + 6273 + ], + [ + 1268, + 10800 + ], + [ + 368, + 8823 + ], + [ + 3621, + 8295 + ], + [ + 2692, + 5580 + ], + [ + 7795, + 8339 + ], + [ + 3439, + 9944 + ], + [ + 4206, + 5915 + ], + [ + 1155, + 9583 + ], + [ + 2626, + 4179 + ], + [ + 5024, + 11243 + ], + [ + 1590, + 8757 + ], + [ + 2037, + 10200 + ], + [ + 1373, + 10974 + ], + [ + 7316, + 11495 + ], + [ + 1311, + 9342 + ], + [ + 4671, + 7183 + ], + [ + 4789, + 11376 + ], + [ + 2249, + 11022 + ], + [ + 6440, + 11043 + ], + [ + 4883, + 8759 + ], + [ + 4475, + 6490 + ], + [ + 7432, + 9576 + ], + [ + 5045, + 6054 + ], + [ + 3857, + 10992 + ], + [ + 4716, + 6552 + ], + [ + 777, + 9758 + ], + [ + 3795, + 10114 + ], + [ + 5679, + 8851 + ], + [ + 2131, + 9461 + ], + [ + 1293, + 1946 + ], + [ + 3476, + 5638 + ], + [ + 2667, + 3025 + ], + [ + 5029, + 8180 + ], + [ + 5524, + 8159 + ], + [ + 7554, + 10855 + ], + [ + 971, + 9250 + ], + [ + 6081, + 6764 + ], + [ + 3906, + 7851 + ], + [ + 3242, + 8625 + ], + [ + 6599, + 8447 + ], + [ + 1232, + 7305 + ], + [ + 7667, + 8288 + ], + [ + 2715, + 4944 + ], + [ + 2837, + 10791 + ], + [ + 3998, + 10823 + ], + [ + 6262, + 9027 + ], + [ + 8603, + 9141 + ], + [ + 3842, + 9529 + ], + [ + 8806, + 9500 + ], + [ + 7603, + 7714 + ], + [ + 1459, + 9189 + ], + [ + 530, + 2310 + ], + [ + 3833, + 5279 + ], + [ + 1304, + 5868 + ], + [ + 2178, + 2460 + ], + [ + 4975, + 6789 + ], + [ + 2263, + 3507 + ], + [ + 4852, + 7887 + ], + [ + 924, + 9030 + ], + [ + 3291, + 10365 + ], + [ + 6498, + 7210 + ], + [ + 7890, + 9649 + ], + [ + 4538, + 10171 + ], + [ + 6212, + 11542 + ], + [ + 587, + 9610 + ], + [ + 9639, + 10605 + ], + [ + 1759, + 3415 + ], + [ + 4444, + 7503 + ], + [ + 772, + 8609 + ], + [ + 6252, + 7908 + ], + [ + 445, + 5770 + ], + [ + 6086, + 9336 + ], + [ + 1294, + 3995 + ], + [ + 8200, + 10979 + ], + [ + 9377, + 11544 + ], + [ + 8356, + 11492 + ], + [ + 1135, + 3184 + ], + [ + 9283, + 11128 + ], + [ + 5016, + 8641 + ], + [ + 4121, + 11172 + ], + [ + 7784, + 8068 + ], + [ + 8405, + 11384 + ], + [ + 2340, + 9180 + ], + [ + 1756, + 9129 + ], + [ + 4920, + 5146 + ], + [ + 4235, + 11459 + ], + [ + 1303, + 3707 + ], + [ + 9618, + 10825 + ], + [ + 7376, + 7684 + ], + [ + 3114, + 5541 + ], + [ + 2369, + 4633 + ], + [ + 2365, + 7143 + ], + [ + 8860, + 8931 + ], + [ + 2700, + 9873 + ], + [ + 4358, + 10711 + ], + [ + 3069, + 5017 + ], + [ + 8423, + 11559 + ], + [ + 620, + 11197 + ], + [ + 9569, + 10559 + ], + [ + 3719, + 6065 + ], + [ + 11079, + 11499 + ], + [ + 3256, + 4843 + ], + [ + 5907, + 10101 + ], + [ + 5470, + 9346 + ], + [ + 7123, + 9840 + ], + [ + 1970, + 2830 + ], + [ + 3188, + 3396 + ], + [ + 822, + 7167 + ], + [ + 3003, + 10032 + ], + [ + 860, + 6870 + ], + [ + 700, + 8867 + ], + [ + 5930, + 7991 + ], + [ + 2131, + 11234 + ], + [ + 2371, + 9940 + ], + [ + 9033, + 10148 + ], + [ + 1213, + 7173 + ], + [ + 4485, + 11583 + ], + [ + 4665, + 10238 + ], + [ + 2805, + 3227 + ], + [ + 1127, + 11536 + ], + [ + 432, + 3575 + ], + [ + 1063, + 7579 + ], + [ + 9681, + 11500 + ], + [ + 7874, + 10539 + ], + [ + 3163, + 10290 + ], + [ + 6499, + 9989 + ], + [ + 6160, + 6359 + ], + [ + 3570, + 8170 + ], + [ + 1118, + 10669 + ], + [ + 6363, + 9347 + ], + [ + 138, + 5730 + ], + [ + 578, + 10166 + ], + [ + 5115, + 10824 + ], + [ + 8705, + 10817 + ], + [ + 3564, + 5322 + ], + [ + 4400, + 5594 + ], + [ + 5375, + 8654 + ], + [ + 5606, + 11061 + ], + [ + 3938, + 7226 + ], + [ + 8377, + 10759 + ], + [ + 5491, + 9768 + ], + [ + 2058, + 4474 + ], + [ + 3552, + 4157 + ], + [ + 2511, + 8391 + ], + [ + 243, + 619 + ], + [ + 5502, + 10307 + ], + [ + 3009, + 5635 + ], + [ + 9242, + 9867 + ], + [ + 4006, + 4512 + ], + [ + 2364, + 8314 + ], + [ + 3415, + 10460 + ], + [ + 2443, + 6163 + ], + [ + 2634, + 3479 + ], + [ + 213, + 1127 + ], + [ + 7033, + 8337 + ], + [ + 5498, + 9784 + ], + [ + 4937, + 5021 + ], + [ + 2946, + 8669 + ], + [ + 2745, + 4249 + ], + [ + 4090, + 6842 + ], + [ + 3305, + 8787 + ], + [ + 8630, + 11181 + ], + [ + 7016, + 9861 + ], + [ + 3627, + 8249 + ], + [ + 1525, + 3987 + ], + [ + 7907, + 10971 + ], + [ + 7064, + 9528 + ], + [ + 873, + 5495 + ], + [ + 3452, + 8433 + ], + [ + 6607, + 11504 + ], + [ + 2894, + 3941 + ], + [ + 1397, + 1708 + ], + [ + 2243, + 2668 + ], + [ + 1300, + 8191 + ], + [ + 3609, + 3886 + ], + [ + 3509, + 5934 + ], + [ + 5138, + 8286 + ], + [ + 527, + 5235 + ], + [ + 9393, + 10012 + ], + [ + 3848, + 9537 + ], + [ + 5415, + 10257 + ], + [ + 2731, + 9023 + ], + [ + 6396, + 6746 + ], + [ + 2639, + 9434 + ], + [ + 4659, + 5026 + ], + [ + 3688, + 10753 + ], + [ + 6988, + 7789 + ], + [ + 4245, + 9358 + ], + [ + 3156, + 4476 + ], + [ + 363, + 6682 + ], + [ + 4458, + 10405 + ], + [ + 9437, + 11408 + ], + [ + 8568, + 8744 + ], + [ + 1216, + 1673 + ], + [ + 5453, + 8455 + ], + [ + 3371, + 9733 + ], + [ + 1406, + 8186 + ], + [ + 884, + 9013 + ], + [ + 2407, + 3799 + ], + [ + 1097, + 10060 + ], + [ + 2000, + 11554 + ], + [ + 5572, + 6834 + ], + [ + 5360, + 9395 + ], + [ + 3705, + 5822 + ], + [ + 7435, + 11110 + ], + [ + 1898, + 11277 + ], + [ + 100, + 1734 + ], + [ + 9363, + 9365 + ], + [ + 10987, + 11373 + ], + [ + 218, + 10091 + ], + [ + 3977, + 7449 + ], + [ + 9763, + 10238 + ], + [ + 1427, + 2243 + ], + [ + 2452, + 9584 + ], + [ + 5344, + 7357 + ], + [ + 5750, + 8799 + ], + [ + 10101, + 10233 + ], + [ + 5997, + 8676 + ], + [ + 1205, + 7499 + ], + [ + 265, + 6123 + ], + [ + 4869, + 8003 + ], + [ + 4559, + 7023 + ], + [ + 5465, + 5782 + ], + [ + 200, + 4193 + ], + [ + 3663, + 5165 + ], + [ + 5924, + 10268 + ], + [ + 9604, + 9777 + ], + [ + 2469, + 6905 + ], + [ + 8637, + 10742 + ], + [ + 5184, + 10458 + ], + [ + 4213, + 9769 + ], + [ + 3027, + 11370 + ], + [ + 4930, + 5623 + ], + [ + 6327, + 10658 + ], + [ + 322, + 9259 + ], + [ + 1991, + 10286 + ], + [ + 1494, + 3064 + ], + [ + 2828, + 11160 + ], + [ + 27, + 2171 + ], + [ + 687, + 11077 + ], + [ + 2249, + 11453 + ], + [ + 2829, + 7598 + ], + [ + 4885, + 5099 + ], + [ + 2794, + 11549 + ], + [ + 2419, + 9420 + ], + [ + 877, + 4004 + ], + [ + 1247, + 2783 + ], + [ + 1023, + 3829 + ], + [ + 3947, + 10185 + ], + [ + 10170, + 11477 + ], + [ + 1204, + 3086 + ], + [ + 1632, + 1843 + ], + [ + 2659, + 5847 + ], + [ + 2017, + 2408 + ], + [ + 8538, + 8827 + ], + [ + 5060, + 10176 + ], + [ + 1781, + 5349 + ], + [ + 4346, + 5171 + ], + [ + 3353, + 7167 + ], + [ + 1691, + 8839 + ], + [ + 4344, + 8508 + ], + [ + 8235, + 8237 + ], + [ + 9226, + 9578 + ], + [ + 827, + 9902 + ], + [ + 3215, + 9862 + ], + [ + 8535, + 11158 + ], + [ + 2938, + 4858 + ], + [ + 4762, + 9206 + ], + [ + 5758, + 7481 + ], + [ + 3748, + 10325 + ], + [ + 1338, + 1746 + ], + [ + 2812, + 6439 + ], + [ + 1628, + 11119 + ], + [ + 967, + 9158 + ], + [ + 2887, + 7552 + ], + [ + 1644, + 2203 + ], + [ + 1239, + 10785 + ], + [ + 6815, + 9792 + ], + [ + 7503, + 7914 + ], + [ + 7776, + 9012 + ], + [ + 400, + 3799 + ], + [ + 2353, + 3831 + ], + [ + 8206, + 8596 + ], + [ + 7407, + 10835 + ], + [ + 1356, + 8337 + ], + [ + 86, + 5329 + ], + [ + 6705, + 8873 + ], + [ + 7836, + 10194 + ], + [ + 4720, + 7051 + ], + [ + 2688, + 3528 + ], + [ + 10437, + 11201 + ], + [ + 410, + 730 + ], + [ + 698, + 10030 + ], + [ + 6147, + 7010 + ], + [ + 2307, + 3836 + ], + [ + 1539, + 8394 + ], + [ + 9561, + 11503 + ], + [ + 1037, + 10627 + ], + [ + 5729, + 8190 + ], + [ + 5385, + 8380 + ], + [ + 7606, + 7638 + ], + [ + 7506, + 10440 + ], + [ + 1470, + 9728 + ], + [ + 2932, + 6490 + ], + [ + 318, + 3743 + ], + [ + 6068, + 11039 + ], + [ + 277, + 1490 + ], + [ + 1051, + 7300 + ], + [ + 490, + 2537 + ], + [ + 1742, + 4185 + ], + [ + 9460, + 11047 + ], + [ + 4797, + 7806 + ], + [ + 561, + 11048 + ], + [ + 52, + 8727 + ], + [ + 7309, + 10276 + ], + [ + 808, + 10925 + ], + [ + 4187, + 8816 + ], + [ + 3597, + 5567 + ], + [ + 675, + 11335 + ], + [ + 1143, + 7239 + ], + [ + 7311, + 10322 + ], + [ + 7390, + 8171 + ], + [ + 1015, + 7239 + ], + [ + 801, + 6721 + ], + [ + 2847, + 3534 + ], + [ + 4906, + 11132 + ], + [ + 5868, + 7571 + ], + [ + 5281, + 11009 + ], + [ + 4557, + 4562 + ], + [ + 6272, + 8186 + ], + [ + 6774, + 9336 + ], + [ + 2411, + 4135 + ], + [ + 4083, + 4679 + ], + [ + 9810, + 10271 + ], + [ + 6412, + 7442 + ], + [ + 5515, + 9146 + ], + [ + 4331, + 8164 + ], + [ + 2284, + 4710 + ], + [ + 4142, + 8642 + ], + [ + 1901, + 9109 + ], + [ + 5473, + 6641 + ], + [ + 1899, + 8282 + ], + [ + 896, + 2420 + ], + [ + 1859, + 8883 + ], + [ + 1026, + 8128 + ], + [ + 6222, + 7668 + ], + [ + 10642, + 11151 + ], + [ + 2140, + 7590 + ], + [ + 3749, + 4402 + ], + [ + 5961, + 6580 + ], + [ + 959, + 3873 + ], + [ + 5434, + 7063 + ], + [ + 9360, + 10011 + ], + [ + 363, + 8723 + ], + [ + 722, + 3179 + ], + [ + 1291, + 5551 + ], + [ + 83, + 3421 + ], + [ + 35, + 6413 + ], + [ + 819, + 6495 + ], + [ + 6173, + 10785 + ], + [ + 2587, + 4495 + ], + [ + 1410, + 3930 + ], + [ + 7421, + 9281 + ], + [ + 10217, + 11510 + ], + [ + 4245, + 5333 + ], + [ + 2800, + 5542 + ], + [ + 8714, + 10960 + ], + [ + 4822, + 7596 + ], + [ + 5914, + 9743 + ], + [ + 2048, + 7600 + ], + [ + 3455, + 11071 + ], + [ + 2419, + 9233 + ], + [ + 6617, + 10425 + ], + [ + 3456, + 7509 + ], + [ + 242, + 9493 + ], + [ + 1171, + 9956 + ], + [ + 923, + 6444 + ], + [ + 3655, + 3962 + ], + [ + 1915, + 10639 + ], + [ + 5215, + 10681 + ], + [ + 8392, + 8815 + ], + [ + 2778, + 7072 + ], + [ + 1941, + 8827 + ], + [ + 2230, + 2514 + ], + [ + 1130, + 10305 + ], + [ + 6548, + 8726 + ], + [ + 4705, + 5102 + ], + [ + 381, + 6245 + ], + [ + 4093, + 10173 + ], + [ + 1130, + 7272 + ], + [ + 3733, + 8325 + ], + [ + 7186, + 8609 + ], + [ + 149, + 2862 + ], + [ + 2169, + 4870 + ], + [ + 1812, + 10460 + ], + [ + 2182, + 9239 + ], + [ + 3851, + 10266 + ], + [ + 1425, + 7570 + ], + [ + 6349, + 8866 + ], + [ + 5222, + 7664 + ], + [ + 3350, + 5554 + ], + [ + 643, + 9032 + ], + [ + 1013, + 8565 + ], + [ + 4409, + 7561 + ], + [ + 8806, + 10094 + ], + [ + 6502, + 8327 + ], + [ + 1891, + 5276 + ], + [ + 4100, + 10189 + ], + [ + 2644, + 10209 + ], + [ + 6001, + 10785 + ], + [ + 6309, + 8686 + ], + [ + 332, + 2165 + ], + [ + 4853, + 8706 + ], + [ + 4595, + 7916 + ], + [ + 13, + 5603 + ], + [ + 5272, + 7377 + ], + [ + 10039, + 10187 + ], + [ + 3711, + 9855 + ], + [ + 2037, + 2068 + ], + [ + 2503, + 7725 + ], + [ + 1104, + 8279 + ], + [ + 2193, + 8997 + ], + [ + 44, + 9053 + ], + [ + 4022, + 7273 + ], + [ + 2587, + 5918 + ], + [ + 7999, + 10186 + ], + [ + 6204, + 10740 + ], + [ + 6302, + 7865 + ], + [ + 1749, + 8202 + ], + [ + 7902, + 10253 + ], + [ + 1751, + 2613 + ], + [ + 5505, + 6043 + ], + [ + 4484, + 5991 + ], + [ + 3701, + 9517 + ], + [ + 4518, + 4821 + ], + [ + 743, + 2796 + ], + [ + 1553, + 8263 + ], + [ + 1584, + 7576 + ], + [ + 4164, + 9958 + ], + [ + 1301, + 4255 + ], + [ + 301, + 11496 + ], + [ + 5664, + 7204 + ], + [ + 1858, + 5112 + ], + [ + 3482, + 7120 + ], + [ + 483, + 10978 + ], + [ + 2766, + 5452 + ], + [ + 2252, + 2787 + ], + [ + 5186, + 10585 + ], + [ + 2127, + 7222 + ], + [ + 3281, + 6083 + ], + [ + 8784, + 10469 + ], + [ + 826, + 8284 + ], + [ + 3213, + 8019 + ], + [ + 534, + 7129 + ], + [ + 7468, + 9745 + ], + [ + 3268, + 8480 + ], + [ + 4085, + 8702 + ], + [ + 5764, + 10417 + ], + [ + 7099, + 7404 + ], + [ + 4743, + 9611 + ], + [ + 3960, + 6721 + ], + [ + 3538, + 7028 + ], + [ + 6075, + 11218 + ], + [ + 3510, + 4980 + ], + [ + 992, + 2695 + ], + [ + 10169, + 10552 + ], + [ + 1609, + 7767 + ], + [ + 6024, + 6742 + ], + [ + 1742, + 6576 + ], + [ + 6374, + 8252 + ], + [ + 7676, + 10017 + ], + [ + 5923, + 10073 + ], + [ + 5900, + 8369 + ], + [ + 6402, + 9519 + ], + [ + 1539, + 9630 + ], + [ + 4870, + 8231 + ], + [ + 10219, + 10265 + ], + [ + 8137, + 11543 + ], + [ + 6431, + 11388 + ], + [ + 6178, + 10942 + ], + [ + 2563, + 6166 + ], + [ + 7599, + 7703 + ], + [ + 2710, + 8845 + ], + [ + 5862, + 5983 + ], + [ + 7816, + 9623 + ], + [ + 4165, + 8600 + ], + [ + 4385, + 6654 + ], + [ + 3053, + 9184 + ], + [ + 2210, + 5489 + ], + [ + 3242, + 9837 + ], + [ + 4166, + 5792 + ], + [ + 3078, + 10180 + ], + [ + 3854, + 3985 + ], + [ + 5123, + 7522 + ], + [ + 11017, + 11534 + ], + [ + 2237, + 6531 + ], + [ + 3950, + 7830 + ], + [ + 1385, + 1592 + ], + [ + 3439, + 8846 + ], + [ + 6303, + 8735 + ], + [ + 3655, + 7158 + ], + [ + 5062, + 6465 + ], + [ + 1294, + 4857 + ], + [ + 599, + 4066 + ], + [ + 5311, + 7169 + ], + [ + 9406, + 10892 + ], + [ + 9314, + 11303 + ], + [ + 1377, + 3579 + ], + [ + 2564, + 4832 + ], + [ + 1346, + 2014 + ], + [ + 6984, + 9069 + ], + [ + 1220, + 5847 + ], + [ + 6167, + 8847 + ], + [ + 7983, + 10271 + ], + [ + 4576, + 6198 + ], + [ + 8534, + 11313 + ], + [ + 1474, + 10278 + ], + [ + 4084, + 9119 + ], + [ + 6529, + 10367 + ], + [ + 1639, + 7901 + ], + [ + 4603, + 11404 + ], + [ + 7865, + 8710 + ], + [ + 3448, + 8908 + ], + [ + 1963, + 4026 + ], + [ + 8549, + 10840 + ], + [ + 6899, + 8365 + ], + [ + 5151, + 8765 + ], + [ + 9371, + 11406 + ], + [ + 4287, + 6445 + ], + [ + 5193, + 5204 + ], + [ + 401, + 6279 + ], + [ + 4506, + 10690 + ], + [ + 886, + 3318 + ], + [ + 3848, + 6748 + ], + [ + 8457, + 8972 + ], + [ + 4625, + 9823 + ], + [ + 8880, + 10795 + ], + [ + 2691, + 6835 + ], + [ + 3190, + 4304 + ], + [ + 6698, + 10711 + ], + [ + 5053, + 7826 + ], + [ + 5423, + 7359 + ], + [ + 450, + 3138 + ], + [ + 3099, + 7569 + ], + [ + 4451, + 6445 + ], + [ + 3561, + 9320 + ], + [ + 6563, + 11425 + ], + [ + 5766, + 10327 + ], + [ + 1220, + 8425 + ], + [ + 5263, + 9706 + ], + [ + 2668, + 7009 + ], + [ + 6539, + 10250 + ], + [ + 3387, + 6696 + ], + [ + 1737, + 3467 + ], + [ + 5283, + 6194 + ], + [ + 426, + 458 + ], + [ + 3824, + 6697 + ], + [ + 5434, + 10527 + ], + [ + 10012, + 11186 + ], + [ + 55, + 5618 + ], + [ + 6906, + 8731 + ], + [ + 1307, + 8020 + ], + [ + 2914, + 7415 + ], + [ + 5130, + 7083 + ], + [ + 6427, + 7750 + ], + [ + 4849, + 6841 + ], + [ + 6368, + 11307 + ], + [ + 5284, + 10933 + ], + [ + 3503, + 11193 + ], + [ + 1471, + 5418 + ], + [ + 1255, + 10489 + ], + [ + 145, + 4730 + ], + [ + 4966, + 9311 + ], + [ + 441, + 7532 + ], + [ + 1564, + 11244 + ], + [ + 5795, + 8412 + ], + [ + 7818, + 9937 + ], + [ + 3931, + 11081 + ], + [ + 438, + 818 + ], + [ + 2559, + 2878 + ], + [ + 7436, + 10020 + ], + [ + 6730, + 9040 + ], + [ + 5042, + 10245 + ], + [ + 11086, + 11572 + ], + [ + 1779, + 2888 + ], + [ + 5846, + 10979 + ], + [ + 650, + 5023 + ], + [ + 3601, + 4157 + ], + [ + 493, + 7291 + ], + [ + 5006, + 7555 + ], + [ + 3858, + 5476 + ], + [ + 861, + 2991 + ], + [ + 1986, + 3366 + ], + [ + 5248, + 7088 + ], + [ + 2662, + 6389 + ], + [ + 2142, + 3879 + ], + [ + 2880, + 7780 + ], + [ + 247, + 7235 + ], + [ + 3256, + 10511 + ], + [ + 300, + 4617 + ], + [ + 634, + 3739 + ], + [ + 3820, + 6123 + ], + [ + 386, + 3637 + ], + [ + 1728, + 2549 + ], + [ + 4240, + 4265 + ], + [ + 580, + 6886 + ], + [ + 1010, + 5716 + ], + [ + 2846, + 5917 + ], + [ + 984, + 10911 + ], + [ + 2097, + 3355 + ], + [ + 755, + 5197 + ], + [ + 7888, + 10652 + ], + [ + 734, + 4320 + ], + [ + 470, + 5213 + ], + [ + 6700, + 9928 + ], + [ + 1434, + 8114 + ], + [ + 1215, + 9504 + ], + [ + 8756, + 10812 + ], + [ + 5167, + 10667 + ], + [ + 3558, + 4029 + ], + [ + 2524, + 10188 + ], + [ + 8521, + 10945 + ], + [ + 7337, + 9209 + ], + [ + 10461, + 10715 + ], + [ + 248, + 1020 + ], + [ + 555, + 7364 + ], + [ + 3697, + 3814 + ], + [ + 180, + 1825 + ], + [ + 2981, + 4398 + ], + [ + 1484, + 8581 + ], + [ + 840, + 4315 + ], + [ + 1769, + 11194 + ], + [ + 618, + 5434 + ], + [ + 458, + 1015 + ], + [ + 6435, + 7536 + ], + [ + 8150, + 8908 + ], + [ + 5438, + 9790 + ], + [ + 8540, + 11345 + ], + [ + 4099, + 11149 + ], + [ + 1081, + 10039 + ], + [ + 10011, + 10105 + ], + [ + 2046, + 6749 + ], + [ + 1325, + 10399 + ], + [ + 1576, + 7766 + ], + [ + 84, + 8129 + ], + [ + 2911, + 5507 + ], + [ + 6276, + 10108 + ], + [ + 4713, + 9507 + ], + [ + 5702, + 10021 + ], + [ + 8194, + 10304 + ], + [ + 10025, + 10161 + ], + [ + 3361, + 9126 + ], + [ + 6351, + 7434 + ], + [ + 4042, + 6077 + ], + [ + 212, + 2837 + ], + [ + 6199, + 7794 + ], + [ + 4576, + 9394 + ], + [ + 3394, + 8485 + ], + [ + 2581, + 9136 + ], + [ + 1141, + 4404 + ], + [ + 4809, + 8060 + ], + [ + 1017, + 1894 + ], + [ + 5963, + 7675 + ], + [ + 4872, + 6130 + ], + [ + 665, + 1442 + ], + [ + 2466, + 10502 + ], + [ + 3499, + 11288 + ], + [ + 1689, + 4394 + ], + [ + 6107, + 7050 + ], + [ + 217, + 6163 + ], + [ + 3926, + 10574 + ], + [ + 251, + 4993 + ], + [ + 1710, + 8654 + ], + [ + 5020, + 8630 + ], + [ + 3055, + 4831 + ], + [ + 2143, + 5503 + ], + [ + 2901, + 10780 + ], + [ + 4539, + 5324 + ], + [ + 3078, + 5000 + ], + [ + 1925, + 9747 + ], + [ + 4012, + 6561 + ], + [ + 4196, + 9122 + ], + [ + 145, + 10609 + ], + [ + 1557, + 8008 + ], + [ + 1855, + 5221 + ], + [ + 213, + 9023 + ], + [ + 3873, + 6402 + ], + [ + 2070, + 2931 + ], + [ + 2019, + 9759 + ], + [ + 1885, + 7315 + ], + [ + 1814, + 8603 + ], + [ + 7042, + 10310 + ], + [ + 7288, + 7333 + ], + [ + 4285, + 8009 + ], + [ + 5777, + 7646 + ], + [ + 4560, + 9934 + ], + [ + 163, + 11538 + ], + [ + 2276, + 3157 + ], + [ + 5134, + 6264 + ], + [ + 4177, + 7917 + ], + [ + 2097, + 4323 + ], + [ + 9719, + 10723 + ], + [ + 7195, + 7492 + ], + [ + 968, + 7212 + ], + [ + 3805, + 4524 + ], + [ + 1620, + 4923 + ], + [ + 276, + 5184 + ], + [ + 2208, + 5093 + ], + [ + 2387, + 7310 + ], + [ + 7286, + 10239 + ], + [ + 3447, + 3503 + ], + [ + 1427, + 1495 + ], + [ + 4593, + 8138 + ], + [ + 101, + 7253 + ], + [ + 7356, + 7975 + ], + [ + 5549, + 7014 + ], + [ + 10323, + 10995 + ], + [ + 984, + 4308 + ], + [ + 5143, + 5572 + ], + [ + 7512, + 8488 + ], + [ + 4989, + 5105 + ], + [ + 952, + 5524 + ], + [ + 890, + 4646 + ], + [ + 2616, + 5453 + ], + [ + 10408, + 10544 + ], + [ + 2223, + 9888 + ], + [ + 2598, + 4847 + ], + [ + 8200, + 9239 + ], + [ + 3250, + 6722 + ], + [ + 3996, + 4068 + ], + [ + 9035, + 10040 + ], + [ + 4104, + 7573 + ], + [ + 2870, + 10638 + ], + [ + 9931, + 10363 + ], + [ + 5289, + 5747 + ], + [ + 836, + 4036 + ], + [ + 5939, + 6795 + ], + [ + 5192, + 5814 + ], + [ + 4233, + 6640 + ], + [ + 699, + 3923 + ], + [ + 51, + 6331 + ], + [ + 1264, + 3143 + ], + [ + 6735, + 10270 + ], + [ + 11217, + 11221 + ], + [ + 5743, + 7206 + ], + [ + 6639, + 7529 + ], + [ + 3864, + 3925 + ], + [ + 2645, + 10304 + ], + [ + 7039, + 8402 + ], + [ + 5451, + 6051 + ], + [ + 10244, + 10836 + ], + [ + 3181, + 10284 + ], + [ + 6734, + 7766 + ], + [ + 720, + 8533 + ], + [ + 2766, + 5346 + ], + [ + 7468, + 7761 + ], + [ + 1002, + 1049 + ], + [ + 8376, + 9599 + ], + [ + 2058, + 3539 + ], + [ + 4236, + 6133 + ], + [ + 4014, + 8006 + ], + [ + 2267, + 7096 + ], + [ + 85, + 4760 + ], + [ + 4878, + 8791 + ], + [ + 3137, + 3946 + ], + [ + 3360, + 6435 + ], + [ + 2880, + 9016 + ], + [ + 10579, + 10910 + ], + [ + 6116, + 10763 + ], + [ + 1510, + 1640 + ], + [ + 525, + 8415 + ], + [ + 3783, + 7477 + ], + [ + 5768, + 10430 + ], + [ + 2471, + 10659 + ], + [ + 945, + 9940 + ], + [ + 4116, + 7128 + ], + [ + 4054, + 6250 + ], + [ + 4551, + 6302 + ], + [ + 2973, + 5393 + ], + [ + 660, + 6546 + ], + [ + 5610, + 6811 + ], + [ + 5950, + 9131 + ], + [ + 620, + 731 + ], + [ + 2308, + 2909 + ], + [ + 2151, + 5177 + ], + [ + 1991, + 7928 + ], + [ + 4448, + 5773 + ], + [ + 8123, + 11354 + ], + [ + 2863, + 7857 + ], + [ + 1803, + 7877 + ], + [ + 3514, + 6097 + ], + [ + 6432, + 9255 + ], + [ + 675, + 788 + ], + [ + 4317, + 10393 + ], + [ + 2727, + 7215 + ], + [ + 4750, + 6488 + ], + [ + 7960, + 10020 + ], + [ + 3383, + 5799 + ], + [ + 2483, + 7986 + ], + [ + 6275, + 7736 + ], + [ + 7646, + 11550 + ], + [ + 10313, + 10925 + ], + [ + 6951, + 10759 + ], + [ + 5679, + 6924 + ], + [ + 2224, + 9977 + ], + [ + 1730, + 6436 + ], + [ + 629, + 7209 + ], + [ + 4868, + 7648 + ], + [ + 389, + 552 + ], + [ + 4489, + 4619 + ], + [ + 201, + 7671 + ], + [ + 2398, + 8063 + ], + [ + 6551, + 10236 + ], + [ + 8848, + 10832 + ], + [ + 4426, + 10686 + ], + [ + 1621, + 8371 + ], + [ + 1122, + 7492 + ], + [ + 62, + 1096 + ], + [ + 285, + 6995 + ], + [ + 7623, + 9472 + ], + [ + 2828, + 4614 + ], + [ + 7652, + 8712 + ], + [ + 3419, + 10717 + ], + [ + 8493, + 9328 + ], + [ + 3505, + 10491 + ], + [ + 3608, + 7206 + ], + [ + 7596, + 11032 + ], + [ + 810, + 9068 + ], + [ + 746, + 11527 + ], + [ + 5132, + 5600 + ], + [ + 4161, + 9075 + ], + [ + 644, + 4834 + ], + [ + 4661, + 9398 + ], + [ + 2787, + 4963 + ], + [ + 767, + 2955 + ], + [ + 6088, + 7105 + ], + [ + 1415, + 3176 + ], + [ + 986, + 7200 + ], + [ + 296, + 6753 + ], + [ + 3844, + 3891 + ], + [ + 8415, + 9795 + ], + [ + 2785, + 7519 + ], + [ + 7355, + 7563 + ], + [ + 7492, + 10278 + ], + [ + 5403, + 10385 + ], + [ + 5140, + 11503 + ], + [ + 1814, + 10994 + ], + [ + 2437, + 3803 + ], + [ + 1630, + 2017 + ], + [ + 10030, + 10936 + ], + [ + 379, + 2442 + ], + [ + 7537, + 9647 + ], + [ + 5381, + 8532 + ], + [ + 3230, + 7761 + ], + [ + 1211, + 8607 + ], + [ + 4382, + 9959 + ], + [ + 3298, + 5421 + ], + [ + 7549, + 9657 + ], + [ + 393, + 8914 + ], + [ + 1955, + 9290 + ], + [ + 9049, + 9155 + ], + [ + 1322, + 2961 + ], + [ + 353, + 3099 + ], + [ + 4750, + 11294 + ], + [ + 1548, + 2715 + ], + [ + 4929, + 7095 + ], + [ + 7267, + 7692 + ], + [ + 2126, + 4449 + ], + [ + 4679, + 6166 + ], + [ + 324, + 7996 + ], + [ + 5525, + 7880 + ], + [ + 385, + 2987 + ], + [ + 414, + 3725 + ], + [ + 3547, + 8757 + ], + [ + 1964, + 6750 + ], + [ + 3400, + 8707 + ], + [ + 2025, + 10409 + ], + [ + 1491, + 3305 + ], + [ + 7437, + 8261 + ], + [ + 9066, + 10613 + ], + [ + 4117, + 10950 + ], + [ + 1022, + 1514 + ], + [ + 2422, + 10984 + ], + [ + 4920, + 8830 + ], + [ + 6995, + 10545 + ], + [ + 6496, + 7414 + ], + [ + 3817, + 6524 + ], + [ + 5816, + 6901 + ], + [ + 235, + 1134 + ], + [ + 2397, + 6201 + ], + [ + 7089, + 7928 + ], + [ + 1141, + 7063 + ], + [ + 9893, + 10018 + ], + [ + 5373, + 6331 + ], + [ + 2358, + 10410 + ], + [ + 3062, + 8311 + ], + [ + 3693, + 11561 + ], + [ + 7294, + 8333 + ], + [ + 1139, + 9619 + ], + [ + 3780, + 7773 + ], + [ + 5244, + 7614 + ], + [ + 1347, + 3906 + ], + [ + 7637, + 7918 + ], + [ + 3807, + 5432 + ], + [ + 4500, + 10314 + ], + [ + 4899, + 9831 + ], + [ + 1852, + 8737 + ], + [ + 7770, + 10891 + ], + [ + 7820, + 11008 + ], + [ + 1970, + 6514 + ], + [ + 4827, + 5232 + ], + [ + 8563, + 11466 + ], + [ + 8718, + 9125 + ], + [ + 2558, + 10067 + ], + [ + 5856, + 6276 + ], + [ + 2334, + 3943 + ], + [ + 1253, + 10256 + ], + [ + 8280, + 8899 + ], + [ + 563, + 3393 + ], + [ + 6318, + 10279 + ], + [ + 7966, + 10429 + ], + [ + 10987, + 11056 + ], + [ + 4416, + 10212 + ], + [ + 2513, + 9543 + ], + [ + 3359, + 8251 + ], + [ + 6122, + 10340 + ], + [ + 5777, + 10305 + ], + [ + 4060, + 5854 + ], + [ + 1174, + 7869 + ], + [ + 2943, + 6094 + ], + [ + 2408, + 2552 + ], + [ + 1571, + 2055 + ], + [ + 6271, + 10813 + ], + [ + 1885, + 10324 + ], + [ + 2881, + 7845 + ], + [ + 5080, + 5654 + ], + [ + 4245, + 8236 + ], + [ + 7758, + 8571 + ], + [ + 9372, + 9891 + ], + [ + 1755, + 7999 + ], + [ + 7109, + 8125 + ], + [ + 3213, + 7271 + ], + [ + 5988, + 10875 + ], + [ + 8116, + 9972 + ], + [ + 7030, + 8771 + ], + [ + 1154, + 9472 + ], + [ + 1565, + 11258 + ], + [ + 3893, + 11167 + ], + [ + 27, + 1854 + ], + [ + 4109, + 5315 + ], + [ + 4720, + 7189 + ], + [ + 3482, + 8600 + ], + [ + 5189, + 5947 + ], + [ + 5168, + 11486 + ], + [ + 5778, + 8971 + ], + [ + 4405, + 5084 + ], + [ + 2949, + 9268 + ], + [ + 2825, + 7512 + ], + [ + 3754, + 10227 + ], + [ + 11061, + 11139 + ], + [ + 9194, + 10127 + ], + [ + 3590, + 9072 + ], + [ + 4304, + 7661 + ], + [ + 10035, + 10743 + ], + [ + 2597, + 3898 + ], + [ + 4283, + 6784 + ], + [ + 4272, + 8877 + ], + [ + 2654, + 7815 + ], + [ + 2747, + 4596 + ], + [ + 37, + 8557 + ], + [ + 5978, + 5999 + ], + [ + 2785, + 10715 + ], + [ + 1875, + 8050 + ], + [ + 2656, + 7861 + ], + [ + 10720, + 11196 + ], + [ + 2498, + 5023 + ], + [ + 1121, + 2892 + ], + [ + 713, + 7793 + ], + [ + 341, + 5935 + ], + [ + 11211, + 11433 + ], + [ + 3611, + 7266 + ], + [ + 3829, + 8657 + ], + [ + 3820, + 4407 + ], + [ + 960, + 4637 + ], + [ + 1858, + 5787 + ], + [ + 1230, + 6218 + ], + [ + 7403, + 10399 + ], + [ + 3485, + 11476 + ], + [ + 390, + 9210 + ], + [ + 1711, + 6491 + ], + [ + 4507, + 8720 + ], + [ + 4194, + 10475 + ], + [ + 6559, + 8731 + ], + [ + 642, + 9431 + ], + [ + 4121, + 4520 + ], + [ + 547, + 6161 + ], + [ + 573, + 5130 + ], + [ + 5371, + 10259 + ], + [ + 3912, + 4346 + ], + [ + 7119, + 7607 + ], + [ + 1699, + 1943 + ], + [ + 9813, + 11057 + ], + [ + 4341, + 10121 + ], + [ + 11125, + 11258 + ], + [ + 2557, + 4448 + ], + [ + 4246, + 6851 + ], + [ + 471, + 4072 + ], + [ + 7134, + 11298 + ], + [ + 2657, + 11445 + ], + [ + 2939, + 10377 + ], + [ + 3464, + 6061 + ], + [ + 1899, + 5387 + ], + [ + 3394, + 4541 + ], + [ + 3767, + 9253 + ], + [ + 9894, + 10083 + ], + [ + 7224, + 10410 + ], + [ + 1118, + 1789 + ], + [ + 4566, + 8145 + ], + [ + 6131, + 8038 + ], + [ + 1182, + 2713 + ], + [ + 1830, + 7852 + ], + [ + 1226, + 2261 + ], + [ + 7154, + 11519 + ], + [ + 1351, + 6871 + ], + [ + 1413, + 8503 + ], + [ + 179, + 7404 + ], + [ + 881, + 4478 + ], + [ + 74, + 2692 + ], + [ + 705, + 6696 + ], + [ + 2532, + 8309 + ], + [ + 1544, + 4233 + ], + [ + 16, + 9103 + ], + [ + 10752, + 11403 + ], + [ + 10310, + 11058 + ], + [ + 3746, + 7975 + ], + [ + 6268, + 10379 + ], + [ + 4401, + 9367 + ], + [ + 7945, + 9015 + ], + [ + 1027, + 1270 + ], + [ + 1666, + 8545 + ], + [ + 85, + 6614 + ], + [ + 5162, + 10404 + ], + [ + 2927, + 5024 + ], + [ + 5167, + 8496 + ], + [ + 7596, + 11463 + ], + [ + 1024, + 1349 + ], + [ + 4199, + 5826 + ], + [ + 9450, + 11489 + ], + [ + 1769, + 5640 + ], + [ + 1392, + 3438 + ], + [ + 6653, + 9789 + ], + [ + 459, + 5485 + ], + [ + 803, + 9459 + ], + [ + 2252, + 8268 + ], + [ + 1290, + 5413 + ], + [ + 10701, + 11414 + ], + [ + 2329, + 10178 + ], + [ + 1384, + 8458 + ], + [ + 988, + 8458 + ], + [ + 322, + 1989 + ], + [ + 7197, + 7408 + ], + [ + 2000, + 3479 + ], + [ + 2848, + 5266 + ], + [ + 6327, + 6771 + ], + [ + 822, + 9859 + ], + [ + 158, + 10633 + ], + [ + 3332, + 11502 + ], + [ + 435, + 553 + ], + [ + 2083, + 2201 + ], + [ + 4333, + 7115 + ], + [ + 4952, + 9604 + ], + [ + 3553, + 10158 + ], + [ + 7, + 7431 + ], + [ + 1216, + 10163 + ], + [ + 2202, + 7750 + ], + [ + 7912, + 9201 + ], + [ + 4008, + 4322 + ], + [ + 8063, + 9370 + ], + [ + 3292, + 9070 + ], + [ + 5692, + 6381 + ], + [ + 6380, + 10919 + ], + [ + 5511, + 8255 + ], + [ + 4542, + 8393 + ], + [ + 707, + 4809 + ], + [ + 6097, + 7598 + ], + [ + 8273, + 10119 + ], + [ + 2889, + 11282 + ], + [ + 6714, + 7008 + ], + [ + 5430, + 5822 + ], + [ + 2350, + 3834 + ], + [ + 4215, + 8937 + ], + [ + 1821, + 10660 + ], + [ + 2855, + 8665 + ], + [ + 1974, + 10902 + ], + [ + 8328, + 10957 + ], + [ + 2380, + 5928 + ], + [ + 7424, + 11490 + ], + [ + 7675, + 8857 + ], + [ + 6641, + 8600 + ], + [ + 1221, + 9352 + ], + [ + 6088, + 10114 + ], + [ + 1064, + 5204 + ], + [ + 873, + 2226 + ], + [ + 214, + 338 + ], + [ + 8606, + 9366 + ], + [ + 2366, + 4717 + ], + [ + 2345, + 3840 + ], + [ + 7869, + 8349 + ], + [ + 10279, + 11266 + ], + [ + 9219, + 11286 + ], + [ + 2184, + 2202 + ], + [ + 498, + 3480 + ], + [ + 2837, + 7685 + ], + [ + 2575, + 5241 + ], + [ + 3633, + 4394 + ], + [ + 4968, + 5545 + ], + [ + 1674, + 10209 + ], + [ + 1426, + 10107 + ], + [ + 1667, + 6786 + ], + [ + 2797, + 7505 + ], + [ + 1763, + 6494 + ], + [ + 866, + 8952 + ], + [ + 4937, + 7363 + ], + [ + 4069, + 8307 + ], + [ + 1046, + 7607 + ], + [ + 6991, + 8174 + ], + [ + 2409, + 10025 + ], + [ + 2223, + 11555 + ], + [ + 1970, + 6945 + ], + [ + 2992, + 9851 + ], + [ + 4122, + 10570 + ], + [ + 6615, + 8826 + ], + [ + 7195, + 11387 + ], + [ + 2154, + 8752 + ], + [ + 6986, + 10459 + ], + [ + 5575, + 10252 + ], + [ + 3489, + 7624 + ], + [ + 1873, + 10395 + ], + [ + 2991, + 7347 + ], + [ + 3915, + 9718 + ], + [ + 4083, + 5330 + ], + [ + 4191, + 8081 + ], + [ + 6159, + 9899 + ], + [ + 5655, + 8676 + ], + [ + 5257, + 11259 + ], + [ + 4161, + 10124 + ], + [ + 6492, + 9550 + ], + [ + 6934, + 10649 + ], + [ + 5026, + 8882 + ], + [ + 1380, + 2541 + ], + [ + 1957, + 8938 + ], + [ + 6769, + 11521 + ], + [ + 2003, + 11565 + ], + [ + 6483, + 8683 + ], + [ + 2969, + 10375 + ], + [ + 9378, + 10137 + ], + [ + 9815, + 10892 + ], + [ + 1593, + 3938 + ], + [ + 2964, + 6998 + ], + [ + 5288, + 10171 + ], + [ + 4668, + 10463 + ], + [ + 819, + 3763 + ], + [ + 4735, + 5269 + ], + [ + 3214, + 4894 + ], + [ + 3274, + 11361 + ], + [ + 4478, + 8087 + ], + [ + 3741, + 7040 + ], + [ + 274, + 2916 + ], + [ + 2083, + 9585 + ], + [ + 4289, + 4401 + ], + [ + 264, + 11273 + ], + [ + 1523, + 8430 + ], + [ + 7891, + 8191 + ], + [ + 6332, + 10742 + ], + [ + 7744, + 8895 + ], + [ + 4805, + 6388 + ], + [ + 1138, + 11248 + ], + [ + 1973, + 2250 + ], + [ + 3170, + 4191 + ], + [ + 7671, + 9356 + ], + [ + 6616, + 7468 + ], + [ + 2409, + 11448 + ], + [ + 6614, + 6641 + ], + [ + 845, + 1577 + ], + [ + 5653, + 11558 + ], + [ + 1747, + 10016 + ], + [ + 1621, + 10843 + ], + [ + 4709, + 6276 + ], + [ + 4113, + 4710 + ], + [ + 5479, + 8180 + ], + [ + 6074, + 9521 + ], + [ + 2795, + 4694 + ], + [ + 7538, + 10116 + ], + [ + 752, + 982 + ], + [ + 222, + 9118 + ], + [ + 6971, + 11200 + ], + [ + 5011, + 9997 + ], + [ + 9307, + 10970 + ], + [ + 1808, + 6855 + ], + [ + 1668, + 10258 + ], + [ + 4125, + 8857 + ], + [ + 3467, + 10577 + ], + [ + 681, + 2620 + ], + [ + 8819, + 9876 + ], + [ + 8007, + 8500 + ], + [ + 4584, + 9556 + ], + [ + 3147, + 8128 + ], + [ + 2746, + 7030 + ], + [ + 2689, + 6496 + ], + [ + 4337, + 6646 + ], + [ + 8659, + 9594 + ], + [ + 1467, + 6188 + ], + [ + 8760, + 9646 + ], + [ + 10718, + 10776 + ], + [ + 5171, + 10255 + ], + [ + 4015, + 4151 + ], + [ + 165, + 10812 + ], + [ + 7572, + 8922 + ], + [ + 10777, + 11356 + ], + [ + 593, + 8815 + ], + [ + 9842, + 10324 + ], + [ + 7032, + 10671 + ], + [ + 3789, + 5501 + ], + [ + 6013, + 11446 + ], + [ + 9557, + 11094 + ], + [ + 3885, + 8592 + ], + [ + 521, + 1183 + ], + [ + 1202, + 3796 + ], + [ + 8048, + 10729 + ], + [ + 10983, + 11582 + ], + [ + 6186, + 10061 + ], + [ + 3314, + 8776 + ], + [ + 2192, + 7918 + ], + [ + 2311, + 3668 + ], + [ + 6644, + 10158 + ], + [ + 6422, + 11277 + ], + [ + 5653, + 6565 + ], + [ + 137, + 1193 + ], + [ + 8321, + 8794 + ], + [ + 3682, + 10865 + ], + [ + 7362, + 9620 + ], + [ + 700, + 2996 + ], + [ + 2904, + 7565 + ], + [ + 8783, + 10545 + ], + [ + 992, + 2646 + ], + [ + 9035, + 11520 + ], + [ + 2428, + 4603 + ], + [ + 1494, + 7179 + ], + [ + 11177, + 11424 + ], + [ + 1893, + 10860 + ], + [ + 8219, + 11119 + ], + [ + 4941, + 6894 + ], + [ + 8557, + 11114 + ], + [ + 2943, + 9371 + ], + [ + 9708, + 10458 + ], + [ + 3354, + 3987 + ], + [ + 10645, + 10782 + ], + [ + 8103, + 9631 + ], + [ + 954, + 3643 + ], + [ + 4500, + 6370 + ], + [ + 3073, + 11292 + ], + [ + 5124, + 8449 + ], + [ + 2502, + 8093 + ], + [ + 4307, + 5975 + ], + [ + 5931, + 7983 + ], + [ + 571, + 9540 + ], + [ + 5500, + 11180 + ], + [ + 1375, + 8022 + ], + [ + 6175, + 7562 + ], + [ + 633, + 7385 + ], + [ + 3584, + 6519 + ], + [ + 595, + 11065 + ], + [ + 1380, + 2704 + ], + [ + 2902, + 5933 + ], + [ + 5225, + 5498 + ], + [ + 1369, + 4043 + ], + [ + 3373, + 5518 + ], + [ + 6630, + 8142 + ], + [ + 2435, + 7221 + ], + [ + 2280, + 10316 + ], + [ + 1093, + 1893 + ], + [ + 594, + 5178 + ], + [ + 1285, + 8479 + ], + [ + 6755, + 7090 + ], + [ + 4392, + 8126 + ], + [ + 777, + 9766 + ], + [ + 443, + 4228 + ], + [ + 3048, + 9141 + ], + [ + 398, + 10901 + ], + [ + 188, + 2955 + ], + [ + 6566, + 7568 + ], + [ + 5568, + 9220 + ], + [ + 366, + 11363 + ], + [ + 5970, + 6756 + ], + [ + 1572, + 11168 + ], + [ + 4882, + 11144 + ], + [ + 175, + 1969 + ], + [ + 2260, + 8536 + ], + [ + 4660, + 5847 + ], + [ + 1544, + 2704 + ], + [ + 1244, + 8828 + ], + [ + 7994, + 8883 + ], + [ + 6249, + 8800 + ], + [ + 8140, + 8708 + ], + [ + 1638, + 6503 + ], + [ + 4217, + 5277 + ], + [ + 815, + 5712 + ], + [ + 9727, + 10834 + ], + [ + 2909, + 9332 + ], + [ + 2062, + 11153 + ], + [ + 3655, + 10842 + ], + [ + 386, + 6703 + ], + [ + 8099, + 8303 + ], + [ + 1435, + 8022 + ], + [ + 621, + 5065 + ], + [ + 2938, + 11201 + ], + [ + 2690, + 7689 + ], + [ + 4077, + 9030 + ], + [ + 6128, + 6187 + ], + [ + 1845, + 9583 + ], + [ + 3402, + 9615 + ], + [ + 629, + 3428 + ], + [ + 5131, + 10693 + ], + [ + 347, + 9377 + ], + [ + 2589, + 3850 + ], + [ + 1118, + 2838 + ], + [ + 3822, + 5478 + ], + [ + 360, + 944 + ], + [ + 1792, + 8417 + ], + [ + 6067, + 8513 + ], + [ + 1358, + 9091 + ], + [ + 7397, + 10074 + ], + [ + 6712, + 9971 + ], + [ + 5148, + 8014 + ], + [ + 7775, + 9468 + ], + [ + 2474, + 5216 + ], + [ + 3651, + 5781 + ], + [ + 2745, + 3989 + ], + [ + 6418, + 8743 + ], + [ + 1714, + 3249 + ], + [ + 3523, + 9918 + ], + [ + 3554, + 5067 + ], + [ + 5042, + 7968 + ], + [ + 5858, + 10217 + ], + [ + 965, + 4070 + ], + [ + 4304, + 7450 + ], + [ + 5914, + 11280 + ], + [ + 5236, + 8184 + ], + [ + 10110, + 10891 + ], + [ + 4580, + 6567 + ], + [ + 1118, + 2033 + ], + [ + 3258, + 8307 + ], + [ + 10234, + 10368 + ], + [ + 681, + 4661 + ], + [ + 3040, + 6135 + ], + [ + 9356, + 9870 + ], + [ + 4464, + 7331 + ], + [ + 4161, + 7522 + ], + [ + 3250, + 11048 + ], + [ + 1875, + 6334 + ], + [ + 7293, + 8165 + ], + [ + 543, + 8110 + ], + [ + 416, + 421 + ], + [ + 1318, + 8106 + ], + [ + 3868, + 6896 + ], + [ + 5586, + 7785 + ], + [ + 11145, + 11349 + ], + [ + 4428, + 5018 + ], + [ + 7822, + 10357 + ], + [ + 2862, + 7152 + ], + [ + 2423, + 10488 + ], + [ + 7624, + 10372 + ], + [ + 5208, + 8364 + ], + [ + 5067, + 8159 + ], + [ + 4170, + 10617 + ], + [ + 3105, + 3877 + ], + [ + 250, + 5205 + ], + [ + 2228, + 6987 + ], + [ + 2257, + 5473 + ], + [ + 5288, + 10952 + ], + [ + 4844, + 9026 + ], + [ + 2356, + 9616 + ], + [ + 953, + 6264 + ], + [ + 1980, + 6104 + ], + [ + 6357, + 6507 + ], + [ + 4252, + 6081 + ], + [ + 955, + 6310 + ], + [ + 5375, + 5629 + ], + [ + 754, + 1890 + ], + [ + 1279, + 1711 + ], + [ + 2029, + 2963 + ], + [ + 1375, + 1419 + ], + [ + 1311, + 6130 + ], + [ + 726, + 3225 + ], + [ + 1940, + 7055 + ], + [ + 1245, + 2100 + ], + [ + 5176, + 8802 + ], + [ + 2836, + 7378 + ], + [ + 167, + 11340 + ], + [ + 3982, + 6378 + ], + [ + 1401, + 6023 + ], + [ + 2089, + 10561 + ], + [ + 2493, + 11176 + ], + [ + 5695, + 6923 + ], + [ + 2677, + 6567 + ], + [ + 3477, + 4930 + ], + [ + 3167, + 10366 + ], + [ + 9428, + 9476 + ], + [ + 4261, + 9176 + ], + [ + 1766, + 10847 + ], + [ + 749, + 5279 + ], + [ + 1578, + 10796 + ], + [ + 6256, + 8653 + ], + [ + 4219, + 8950 + ], + [ + 2138, + 9672 + ], + [ + 897, + 11566 + ], + [ + 708, + 2245 + ], + [ + 481, + 3020 + ], + [ + 5434, + 9218 + ], + [ + 652, + 4565 + ], + [ + 5340, + 9556 + ], + [ + 4094, + 10352 + ], + [ + 1356, + 5849 + ], + [ + 8816, + 10009 + ], + [ + 5244, + 6061 + ], + [ + 4425, + 9176 + ], + [ + 1033, + 10299 + ], + [ + 5608, + 7277 + ], + [ + 4892, + 11271 + ], + [ + 8283, + 10677 + ], + [ + 7789, + 7890 + ], + [ + 2028, + 8349 + ], + [ + 8535, + 10898 + ], + [ + 4889, + 10973 + ], + [ + 5076, + 10799 + ], + [ + 6664, + 6734 + ], + [ + 5599, + 6410 + ], + [ + 4606, + 8406 + ], + [ + 7006, + 9881 + ], + [ + 654, + 4237 + ], + [ + 2548, + 3662 + ], + [ + 4196, + 10228 + ], + [ + 705, + 792 + ], + [ + 1704, + 8410 + ], + [ + 8343, + 11078 + ], + [ + 7317, + 10682 + ], + [ + 2825, + 3381 + ], + [ + 1357, + 8302 + ], + [ + 1820, + 3108 + ], + [ + 4414, + 8586 + ], + [ + 5118, + 6487 + ], + [ + 9111, + 10657 + ], + [ + 921, + 8903 + ], + [ + 7335, + 9009 + ], + [ + 3754, + 9479 + ], + [ + 4499, + 7381 + ], + [ + 956, + 11341 + ], + [ + 7238, + 9076 + ], + [ + 2823, + 5937 + ], + [ + 3817, + 7549 + ], + [ + 4120, + 4352 + ], + [ + 9748, + 10719 + ], + [ + 5460, + 6601 + ], + [ + 503, + 9329 + ], + [ + 852, + 10237 + ], + [ + 6883, + 10605 + ], + [ + 547, + 3185 + ], + [ + 7515, + 11047 + ], + [ + 3802, + 9146 + ], + [ + 2317, + 4264 + ], + [ + 3086, + 9730 + ], + [ + 841, + 2908 + ], + [ + 5918, + 7452 + ], + [ + 2491, + 6137 + ], + [ + 1969, + 6964 + ], + [ + 1160, + 5105 + ], + [ + 5852, + 6832 + ], + [ + 27, + 3334 + ], + [ + 1176, + 8267 + ], + [ + 2647, + 3617 + ], + [ + 563, + 10484 + ], + [ + 5632, + 7997 + ], + [ + 3180, + 10496 + ], + [ + 714, + 3483 + ], + [ + 24, + 9452 + ], + [ + 5077, + 6432 + ], + [ + 1237, + 3258 + ], + [ + 1023, + 11408 + ], + [ + 8029, + 9174 + ], + [ + 1088, + 9551 + ], + [ + 3452, + 11369 + ], + [ + 2263, + 2873 + ], + [ + 4847, + 6909 + ], + [ + 4496, + 5928 + ], + [ + 2543, + 5896 + ], + [ + 1075, + 8565 + ], + [ + 2262, + 3402 + ], + [ + 82, + 4145 + ], + [ + 4404, + 6339 + ], + [ + 2749, + 3520 + ], + [ + 2064, + 9079 + ], + [ + 4563, + 10533 + ], + [ + 1270, + 1836 + ], + [ + 6235, + 11077 + ], + [ + 7365, + 9544 + ], + [ + 2715, + 6538 + ], + [ + 2689, + 5317 + ], + [ + 7453, + 9364 + ], + [ + 2749, + 10286 + ], + [ + 374, + 3391 + ], + [ + 804, + 2221 + ], + [ + 3186, + 9506 + ], + [ + 306, + 8360 + ], + [ + 6699, + 9841 + ], + [ + 3134, + 8592 + ], + [ + 680, + 10264 + ], + [ + 1029, + 8166 + ], + [ + 2710, + 6544 + ], + [ + 3546, + 6816 + ], + [ + 2023, + 9778 + ], + [ + 1581, + 2263 + ], + [ + 5450, + 11093 + ], + [ + 3855, + 8325 + ], + [ + 1018, + 3843 + ], + [ + 2389, + 7657 + ], + [ + 1702, + 10891 + ], + [ + 1366, + 10942 + ], + [ + 984, + 7642 + ], + [ + 8200, + 9190 + ], + [ + 395, + 1585 + ], + [ + 6339, + 11376 + ], + [ + 2501, + 4865 + ], + [ + 7889, + 10991 + ], + [ + 6087, + 8122 + ], + [ + 7766, + 9837 + ], + [ + 6861, + 7516 + ], + [ + 450, + 4675 + ], + [ + 3562, + 11082 + ], + [ + 7998, + 8682 + ], + [ + 4114, + 5179 + ], + [ + 4771, + 7398 + ], + [ + 2242, + 3823 + ], + [ + 5897, + 11381 + ], + [ + 187, + 2760 + ], + [ + 2186, + 10307 + ], + [ + 508, + 5030 + ], + [ + 1652, + 9619 + ], + [ + 3297, + 6088 + ], + [ + 4637, + 8337 + ], + [ + 4635, + 7510 + ], + [ + 960, + 1929 + ], + [ + 9621, + 9684 + ], + [ + 3327, + 8182 + ], + [ + 495, + 4044 + ], + [ + 7616, + 7984 + ], + [ + 4849, + 11411 + ], + [ + 6781, + 11320 + ], + [ + 670, + 2355 + ], + [ + 1208, + 9578 + ], + [ + 239, + 9716 + ], + [ + 7338, + 9925 + ], + [ + 4602, + 8501 + ], + [ + 3444, + 5734 + ], + [ + 1701, + 6478 + ], + [ + 1823, + 8161 + ], + [ + 3637, + 9512 + ], + [ + 6584, + 11156 + ], + [ + 1137, + 1417 + ], + [ + 1971, + 7278 + ], + [ + 3932, + 5673 + ], + [ + 8508, + 9669 + ], + [ + 8513, + 10013 + ], + [ + 1930, + 8408 + ], + [ + 5481, + 11479 + ], + [ + 3184, + 4467 + ], + [ + 753, + 1427 + ], + [ + 1849, + 3316 + ], + [ + 1033, + 3696 + ], + [ + 2717, + 5755 + ], + [ + 9413, + 11209 + ], + [ + 5014, + 6351 + ], + [ + 7247, + 9406 + ], + [ + 965, + 4501 + ], + [ + 662, + 4692 + ], + [ + 2460, + 4409 + ], + [ + 619, + 1612 + ], + [ + 2862, + 5355 + ], + [ + 253, + 10122 + ], + [ + 618, + 4393 + ], + [ + 7751, + 9848 + ], + [ + 8121, + 9381 + ], + [ + 2386, + 2393 + ], + [ + 5937, + 6218 + ], + [ + 8125, + 9500 + ], + [ + 8987, + 10993 + ], + [ + 243, + 6401 + ], + [ + 4045, + 6839 + ], + [ + 4191, + 5910 + ], + [ + 5166, + 9724 + ], + [ + 1892, + 5241 + ], + [ + 1383, + 7084 + ], + [ + 1111, + 4676 + ], + [ + 1167, + 5739 + ], + [ + 4840, + 9739 + ], + [ + 5093, + 7933 + ], + [ + 9790, + 10004 + ], + [ + 611, + 7736 + ], + [ + 891, + 10005 + ], + [ + 6242, + 6450 + ], + [ + 3152, + 4528 + ], + [ + 975, + 8952 + ], + [ + 5997, + 6619 + ], + [ + 5710, + 7343 + ], + [ + 2664, + 11355 + ], + [ + 1508, + 5251 + ], + [ + 8626, + 9674 + ], + [ + 102, + 2382 + ], + [ + 4933, + 7651 + ], + [ + 5583, + 10951 + ], + [ + 1717, + 8808 + ], + [ + 567, + 10066 + ], + [ + 1688, + 11453 + ], + [ + 6700, + 8432 + ], + [ + 7436, + 10752 + ], + [ + 5170, + 6059 + ], + [ + 2840, + 3071 + ], + [ + 3270, + 9071 + ], + [ + 9084, + 10902 + ], + [ + 3046, + 7111 + ], + [ + 3421, + 6234 + ], + [ + 458, + 5585 + ], + [ + 6461, + 11075 + ], + [ + 4977, + 9047 + ], + [ + 1090, + 6027 + ], + [ + 2139, + 11510 + ], + [ + 2421, + 10442 + ], + [ + 8515, + 11132 + ], + [ + 979, + 1500 + ], + [ + 3938, + 7665 + ], + [ + 4032, + 10710 + ], + [ + 1456, + 11453 + ], + [ + 3006, + 10314 + ], + [ + 6516, + 11132 + ], + [ + 3221, + 5772 + ], + [ + 5116, + 8051 + ], + [ + 981, + 11345 + ], + [ + 3185, + 9498 + ], + [ + 6268, + 10249 + ], + [ + 2368, + 2860 + ], + [ + 715, + 3497 + ], + [ + 4887, + 9130 + ], + [ + 8588, + 9516 + ], + [ + 690, + 5130 + ], + [ + 2641, + 5089 + ], + [ + 9215, + 9614 + ], + [ + 302, + 10683 + ], + [ + 2435, + 10848 + ], + [ + 935, + 4934 + ], + [ + 7399, + 10819 + ], + [ + 1220, + 7547 + ], + [ + 1497, + 10299 + ], + [ + 931, + 7444 + ], + [ + 2612, + 9986 + ], + [ + 4819, + 7656 + ], + [ + 1918, + 5633 + ], + [ + 3886, + 7451 + ], + [ + 7093, + 10712 + ], + [ + 7857, + 8664 + ], + [ + 6274, + 7411 + ], + [ + 4257, + 9084 + ], + [ + 3481, + 9617 + ], + [ + 5031, + 8478 + ], + [ + 3807, + 7343 + ], + [ + 1019, + 9893 + ], + [ + 787, + 3908 + ], + [ + 2440, + 10818 + ], + [ + 982, + 10765 + ], + [ + 502, + 11094 + ], + [ + 789, + 10370 + ], + [ + 2341, + 10058 + ], + [ + 8750, + 9820 + ], + [ + 9002, + 10795 + ], + [ + 2588, + 4273 + ], + [ + 973, + 9898 + ], + [ + 6441, + 11092 + ], + [ + 1054, + 2158 + ], + [ + 2999, + 8688 + ], + [ + 3296, + 6430 + ], + [ + 3521, + 4828 + ], + [ + 2415, + 8667 + ], + [ + 3597, + 9576 + ], + [ + 6227, + 9793 + ], + [ + 5873, + 9295 + ], + [ + 1634, + 1686 + ], + [ + 3507, + 6650 + ], + [ + 4904, + 8679 + ], + [ + 10461, + 10642 + ], + [ + 7343, + 10082 + ], + [ + 177, + 2235 + ], + [ + 2945, + 8078 + ], + [ + 8989, + 9405 + ], + [ + 21, + 7357 + ], + [ + 2784, + 6440 + ], + [ + 2722, + 5562 + ], + [ + 2316, + 4874 + ], + [ + 3874, + 8514 + ], + [ + 5026, + 10712 + ], + [ + 8105, + 8311 + ], + [ + 3952, + 6892 + ], + [ + 935, + 9390 + ], + [ + 6356, + 10738 + ], + [ + 2829, + 5809 + ], + [ + 5979, + 8536 + ], + [ + 3952, + 10275 + ], + [ + 1751, + 9387 + ], + [ + 2933, + 10296 + ], + [ + 3334, + 4978 + ], + [ + 2926, + 9125 + ], + [ + 2095, + 2781 + ], + [ + 5013, + 5939 + ], + [ + 1680, + 10675 + ], + [ + 1613, + 3037 + ], + [ + 2459, + 10413 + ], + [ + 3020, + 6508 + ], + [ + 3206, + 5732 + ], + [ + 9897, + 10842 + ], + [ + 3911, + 6487 + ], + [ + 585, + 1814 + ], + [ + 4788, + 6760 + ], + [ + 2957, + 7657 + ], + [ + 2178, + 2257 + ], + [ + 4263, + 11076 + ], + [ + 648, + 10464 + ], + [ + 3571, + 9802 + ], + [ + 2048, + 6348 + ], + [ + 6647, + 7130 + ], + [ + 2483, + 5522 + ], + [ + 1387, + 6639 + ], + [ + 7431, + 11376 + ], + [ + 4317, + 4896 + ], + [ + 2543, + 6327 + ], + [ + 1323, + 9098 + ], + [ + 146, + 8533 + ], + [ + 5285, + 10949 + ], + [ + 3729, + 7355 + ], + [ + 825, + 1651 + ], + [ + 1924, + 7221 + ], + [ + 1201, + 4382 + ], + [ + 1691, + 4017 + ], + [ + 4841, + 10908 + ], + [ + 719, + 4638 + ], + [ + 8972, + 10124 + ], + [ + 7633, + 11483 + ], + [ + 6490, + 9748 + ], + [ + 2099, + 2499 + ], + [ + 2961, + 3992 + ], + [ + 4174, + 4214 + ], + [ + 2931, + 5281 + ], + [ + 42, + 1363 + ], + [ + 632, + 8776 + ], + [ + 2060, + 6708 + ], + [ + 9744, + 9822 + ], + [ + 403, + 2308 + ], + [ + 3829, + 10568 + ], + [ + 7509, + 9323 + ], + [ + 1332, + 8406 + ], + [ + 9021, + 10366 + ], + [ + 10203, + 11275 + ], + [ + 4286, + 5559 + ], + [ + 6660, + 8065 + ], + [ + 2799, + 4014 + ], + [ + 1458, + 4546 + ], + [ + 1924, + 9449 + ], + [ + 4782, + 8392 + ], + [ + 869, + 10567 + ], + [ + 1020, + 8484 + ], + [ + 7355, + 11515 + ], + [ + 7449, + 11150 + ], + [ + 732, + 4819 + ], + [ + 3106, + 7325 + ], + [ + 7196, + 10704 + ], + [ + 3290, + 3470 + ], + [ + 6304, + 7090 + ], + [ + 4554, + 6663 + ], + [ + 5863, + 8845 + ], + [ + 390, + 5055 + ], + [ + 1187, + 5399 + ], + [ + 4242, + 11272 + ], + [ + 3639, + 6283 + ], + [ + 1223, + 4275 + ], + [ + 1257, + 10275 + ], + [ + 254, + 4413 + ], + [ + 438, + 6974 + ], + [ + 61, + 4772 + ], + [ + 6967, + 11002 + ], + [ + 9028, + 9601 + ], + [ + 3460, + 8203 + ], + [ + 4396, + 5673 + ], + [ + 7837, + 10858 + ], + [ + 4160, + 8614 + ], + [ + 6943, + 9827 + ], + [ + 4228, + 7028 + ], + [ + 1831, + 2818 + ], + [ + 55, + 7586 + ], + [ + 531, + 9767 + ], + [ + 684, + 10763 + ], + [ + 5560, + 7881 + ], + [ + 2922, + 7746 + ], + [ + 4345, + 4580 + ], + [ + 1826, + 5857 + ], + [ + 45, + 6117 + ], + [ + 6650, + 9955 + ], + [ + 4411, + 6331 + ], + [ + 4688, + 4919 + ], + [ + 3535, + 8912 + ], + [ + 2127, + 5970 + ], + [ + 1005, + 5112 + ], + [ + 5544, + 6597 + ], + [ + 1044, + 11456 + ], + [ + 5179, + 5910 + ], + [ + 7109, + 10654 + ], + [ + 2806, + 8510 + ], + [ + 7549, + 10926 + ], + [ + 1844, + 2649 + ], + [ + 388, + 9839 + ], + [ + 1030, + 6862 + ], + [ + 2988, + 7992 + ], + [ + 311, + 759 + ], + [ + 1539, + 2767 + ], + [ + 4106, + 4944 + ], + [ + 2116, + 10692 + ], + [ + 5103, + 5319 + ], + [ + 9899, + 11533 + ], + [ + 3216, + 7038 + ], + [ + 7123, + 10710 + ], + [ + 3823, + 11422 + ], + [ + 1464, + 9948 + ], + [ + 10961, + 11559 + ], + [ + 1233, + 7571 + ], + [ + 3380, + 10852 + ], + [ + 2542, + 9753 + ], + [ + 7310, + 7503 + ], + [ + 1911, + 3470 + ], + [ + 4311, + 4945 + ], + [ + 197, + 9116 + ], + [ + 1262, + 9440 + ], + [ + 7075, + 7636 + ], + [ + 6426, + 9442 + ], + [ + 1254, + 1628 + ], + [ + 7490, + 9541 + ], + [ + 8223, + 8934 + ], + [ + 3865, + 4077 + ], + [ + 4907, + 9113 + ], + [ + 2216, + 4456 + ], + [ + 2219, + 8137 + ], + [ + 6320, + 8642 + ], + [ + 6760, + 8914 + ], + [ + 8403, + 8720 + ], + [ + 4583, + 6922 + ], + [ + 5445, + 8415 + ], + [ + 7282, + 10716 + ], + [ + 716, + 4554 + ], + [ + 1024, + 2455 + ], + [ + 1703, + 11411 + ], + [ + 5595, + 8359 + ], + [ + 5999, + 6722 + ], + [ + 6649, + 7770 + ], + [ + 6148, + 10228 + ], + [ + 1511, + 8208 + ], + [ + 4222, + 7855 + ], + [ + 8991, + 11492 + ], + [ + 6460, + 10500 + ], + [ + 5162, + 5444 + ], + [ + 545, + 8994 + ], + [ + 3401, + 11274 + ], + [ + 4648, + 6162 + ], + [ + 2029, + 10241 + ], + [ + 3495, + 4493 + ], + [ + 7380, + 10850 + ], + [ + 6865, + 8684 + ], + [ + 5145, + 10351 + ], + [ + 5735, + 11348 + ], + [ + 6506, + 7061 + ], + [ + 658, + 3394 + ], + [ + 3123, + 5264 + ], + [ + 3051, + 10114 + ], + [ + 8750, + 11406 + ], + [ + 4519, + 10828 + ], + [ + 8306, + 10234 + ], + [ + 1584, + 3559 + ], + [ + 6439, + 9222 + ], + [ + 4384, + 8159 + ], + [ + 8248, + 9475 + ], + [ + 3107, + 3980 + ], + [ + 6903, + 10265 + ], + [ + 2918, + 4458 + ], + [ + 4819, + 5054 + ], + [ + 2224, + 6521 + ], + [ + 3934, + 9801 + ], + [ + 7702, + 9157 + ], + [ + 3352, + 4161 + ], + [ + 7913, + 9377 + ], + [ + 1603, + 7342 + ], + [ + 3502, + 11275 + ], + [ + 3280, + 5978 + ], + [ + 721, + 2938 + ], + [ + 5175, + 6005 + ], + [ + 27, + 5001 + ], + [ + 1622, + 2107 + ], + [ + 715, + 3123 + ], + [ + 6934, + 9177 + ], + [ + 5750, + 7441 + ], + [ + 1555, + 3514 + ], + [ + 894, + 3805 + ], + [ + 6100, + 8197 + ], + [ + 62, + 10822 + ], + [ + 1775, + 11367 + ], + [ + 3702, + 10932 + ], + [ + 1209, + 6260 + ], + [ + 4963, + 9690 + ], + [ + 1616, + 10556 + ], + [ + 9845, + 11514 + ], + [ + 10569, + 10791 + ], + [ + 8196, + 11139 + ], + [ + 8798, + 10241 + ], + [ + 4772, + 10095 + ], + [ + 670, + 9365 + ], + [ + 2781, + 6573 + ], + [ + 1943, + 9638 + ], + [ + 3534, + 9254 + ], + [ + 1626, + 7487 + ], + [ + 3286, + 11404 + ], + [ + 602, + 3754 + ], + [ + 2195, + 10613 + ], + [ + 2026, + 4196 + ], + [ + 9653, + 10940 + ], + [ + 4431, + 6769 + ], + [ + 4369, + 10055 + ], + [ + 413, + 10648 + ], + [ + 4520, + 9470 + ], + [ + 3453, + 9073 + ], + [ + 6915, + 9820 + ], + [ + 4257, + 7555 + ], + [ + 6380, + 7032 + ], + [ + 10428, + 10909 + ], + [ + 5442, + 8735 + ], + [ + 2233, + 8811 + ], + [ + 2231, + 5732 + ], + [ + 4445, + 10989 + ], + [ + 6964, + 9712 + ], + [ + 2578, + 2807 + ], + [ + 1215, + 6024 + ], + [ + 4723, + 6015 + ], + [ + 6307, + 8624 + ], + [ + 2850, + 10850 + ], + [ + 4565, + 8058 + ], + [ + 2758, + 11261 + ], + [ + 3839, + 5702 + ], + [ + 2011, + 10280 + ], + [ + 4158, + 7145 + ], + [ + 1854, + 6132 + ], + [ + 9402, + 10139 + ], + [ + 262, + 7045 + ], + [ + 3370, + 9546 + ], + [ + 908, + 4187 + ], + [ + 4985, + 7304 + ], + [ + 6177, + 8901 + ], + [ + 6757, + 11462 + ], + [ + 4138, + 8371 + ], + [ + 4790, + 6082 + ], + [ + 4079, + 4758 + ], + [ + 244, + 1928 + ], + [ + 1651, + 5399 + ], + [ + 806, + 9545 + ], + [ + 4383, + 5169 + ], + [ + 436, + 2098 + ], + [ + 3357, + 4773 + ], + [ + 9177, + 11310 + ], + [ + 7437, + 11571 + ], + [ + 3535, + 6765 + ], + [ + 7738, + 8301 + ], + [ + 208, + 2621 + ], + [ + 882, + 1811 + ], + [ + 1131, + 4767 + ], + [ + 138, + 10146 + ], + [ + 11375, + 11496 + ], + [ + 107, + 8581 + ], + [ + 7227, + 9667 + ], + [ + 6232, + 8584 + ], + [ + 5012, + 11355 + ], + [ + 1221, + 8043 + ], + [ + 2362, + 2535 + ], + [ + 7881, + 11588 + ], + [ + 3583, + 9788 + ], + [ + 2280, + 10804 + ], + [ + 1368, + 11476 + ], + [ + 5886, + 11330 + ], + [ + 4986, + 9353 + ], + [ + 3321, + 5092 + ], + [ + 2452, + 8844 + ], + [ + 678, + 3859 + ], + [ + 3455, + 8290 + ], + [ + 3572, + 8875 + ], + [ + 1522, + 8910 + ], + [ + 751, + 2617 + ], + [ + 6535, + 8743 + ], + [ + 683, + 7586 + ], + [ + 743, + 1975 + ], + [ + 6716, + 8000 + ], + [ + 821, + 6769 + ], + [ + 1543, + 2967 + ], + [ + 1921, + 8777 + ], + [ + 10071, + 11132 + ], + [ + 4472, + 10421 + ], + [ + 2962, + 3819 + ], + [ + 5451, + 10247 + ], + [ + 6120, + 10571 + ], + [ + 4649, + 9559 + ], + [ + 4124, + 6705 + ], + [ + 3157, + 3506 + ], + [ + 2723, + 7186 + ], + [ + 3334, + 9060 + ], + [ + 2530, + 6791 + ], + [ + 8846, + 10526 + ], + [ + 6636, + 8394 + ], + [ + 1280, + 4435 + ], + [ + 3456, + 6956 + ], + [ + 8158, + 9371 + ], + [ + 1938, + 6098 + ], + [ + 8619, + 10520 + ], + [ + 7528, + 8975 + ], + [ + 7, + 7545 + ], + [ + 2834, + 4169 + ], + [ + 6727, + 11141 + ], + [ + 1402, + 3085 + ], + [ + 1, + 6976 + ], + [ + 868, + 8813 + ], + [ + 1794, + 5595 + ], + [ + 2805, + 9066 + ], + [ + 6599, + 9643 + ], + [ + 998, + 1689 + ], + [ + 4943, + 8851 + ], + [ + 853, + 4748 + ], + [ + 2749, + 5000 + ], + [ + 923, + 6241 + ], + [ + 2444, + 10780 + ], + [ + 7361, + 10905 + ], + [ + 2225, + 11416 + ], + [ + 1569, + 9799 + ], + [ + 2104, + 6925 + ], + [ + 1949, + 10020 + ], + [ + 5837, + 9478 + ], + [ + 1047, + 4964 + ], + [ + 10092, + 11204 + ], + [ + 2010, + 11427 + ], + [ + 202, + 442 + ], + [ + 1936, + 8280 + ], + [ + 6011, + 8318 + ], + [ + 1095, + 11047 + ], + [ + 1434, + 10513 + ], + [ + 369, + 4527 + ], + [ + 7719, + 8519 + ], + [ + 2058, + 6930 + ], + [ + 2736, + 3610 + ], + [ + 5304, + 9365 + ], + [ + 2902, + 11227 + ], + [ + 872, + 8531 + ], + [ + 65, + 6745 + ], + [ + 1997, + 6654 + ], + [ + 6004, + 10530 + ], + [ + 2733, + 9728 + ], + [ + 2865, + 5683 + ], + [ + 96, + 5277 + ], + [ + 750, + 4569 + ], + [ + 1185, + 3743 + ], + [ + 3442, + 4940 + ], + [ + 1976, + 4272 + ], + [ + 5506, + 7220 + ], + [ + 647, + 6319 + ], + [ + 3133, + 7568 + ], + [ + 9359, + 9875 + ], + [ + 887, + 9189 + ], + [ + 3437, + 3815 + ], + [ + 2540, + 9683 + ], + [ + 577, + 8963 + ], + [ + 2165, + 4144 + ], + [ + 3378, + 6618 + ], + [ + 4938, + 11085 + ], + [ + 4305, + 7008 + ], + [ + 2689, + 9025 + ], + [ + 449, + 3301 + ], + [ + 631, + 4281 + ], + [ + 944, + 9696 + ], + [ + 2656, + 6633 + ], + [ + 1823, + 4380 + ], + [ + 890, + 6427 + ], + [ + 4458, + 10633 + ], + [ + 1225, + 6151 + ], + [ + 561, + 6925 + ], + [ + 3682, + 4750 + ], + [ + 1906, + 9518 + ], + [ + 10968, + 11201 + ], + [ + 5584, + 8200 + ], + [ + 8440, + 9726 + ], + [ + 5386, + 7461 + ], + [ + 1864, + 9292 + ], + [ + 4928, + 6583 + ], + [ + 6163, + 10536 + ], + [ + 559, + 9481 + ], + [ + 6254, + 9900 + ], + [ + 5256, + 11552 + ], + [ + 2706, + 6346 + ], + [ + 3105, + 10781 + ], + [ + 4008, + 5859 + ], + [ + 3414, + 11536 + ], + [ + 6313, + 10480 + ], + [ + 2762, + 7409 + ], + [ + 129, + 6864 + ], + [ + 6743, + 10064 + ], + [ + 298, + 1977 + ], + [ + 2548, + 2727 + ], + [ + 278, + 10370 + ], + [ + 1305, + 7958 + ], + [ + 2764, + 7455 + ], + [ + 831, + 8075 + ], + [ + 4033, + 10992 + ], + [ + 7489, + 8541 + ], + [ + 6416, + 7575 + ], + [ + 3518, + 5069 + ], + [ + 8352, + 9855 + ], + [ + 4395, + 6096 + ], + [ + 3716, + 9191 + ], + [ + 1100, + 9781 + ], + [ + 8502, + 10553 + ], + [ + 8603, + 10605 + ], + [ + 7619, + 9711 + ], + [ + 5019, + 5142 + ], + [ + 2356, + 2533 + ], + [ + 2589, + 11372 + ], + [ + 929, + 7455 + ], + [ + 2735, + 4781 + ], + [ + 837, + 7866 + ], + [ + 1893, + 10356 + ], + [ + 6657, + 10239 + ], + [ + 1430, + 2718 + ], + [ + 8706, + 10733 + ], + [ + 8792, + 9753 + ], + [ + 2286, + 10058 + ], + [ + 7487, + 9942 + ], + [ + 2573, + 2918 + ], + [ + 6488, + 11369 + ], + [ + 4868, + 10234 + ], + [ + 3836, + 6640 + ], + [ + 6523, + 7391 + ], + [ + 983, + 1625 + ], + [ + 881, + 3600 + ], + [ + 5462, + 7940 + ], + [ + 3867, + 11588 + ], + [ + 4022, + 8493 + ], + [ + 4612, + 9490 + ], + [ + 9651, + 11298 + ], + [ + 7760, + 9138 + ], + [ + 933, + 7173 + ], + [ + 946, + 11542 + ], + [ + 1242, + 7928 + ], + [ + 1710, + 3832 + ], + [ + 1969, + 5224 + ], + [ + 1742, + 1835 + ], + [ + 6279, + 6657 + ], + [ + 5203, + 6898 + ], + [ + 411, + 11383 + ], + [ + 5139, + 9357 + ], + [ + 1966, + 11342 + ], + [ + 2238, + 9586 + ], + [ + 5314, + 7668 + ], + [ + 2265, + 4993 + ], + [ + 6057, + 11159 + ], + [ + 2261, + 8257 + ], + [ + 2603, + 11404 + ], + [ + 19, + 952 + ], + [ + 4139, + 6395 + ], + [ + 7893, + 9825 + ], + [ + 5904, + 7884 + ], + [ + 8607, + 9168 + ], + [ + 6585, + 10497 + ], + [ + 709, + 4782 + ], + [ + 10077, + 10709 + ], + [ + 1173, + 9612 + ], + [ + 9098, + 9405 + ], + [ + 6044, + 7140 + ], + [ + 5154, + 10015 + ], + [ + 3036, + 7472 + ], + [ + 252, + 6034 + ], + [ + 4029, + 8859 + ], + [ + 4733, + 6760 + ], + [ + 106, + 10346 + ], + [ + 2338, + 5629 + ], + [ + 102, + 6440 + ], + [ + 8500, + 8897 + ], + [ + 3395, + 4557 + ], + [ + 1835, + 8391 + ], + [ + 7089, + 11319 + ], + [ + 1922, + 10265 + ], + [ + 5669, + 10996 + ], + [ + 67, + 188 + ], + [ + 1529, + 10536 + ], + [ + 7274, + 10318 + ], + [ + 5168, + 7038 + ], + [ + 4416, + 11375 + ], + [ + 1051, + 1112 + ], + [ + 8803, + 9056 + ], + [ + 6086, + 8840 + ], + [ + 1757, + 5475 + ], + [ + 1884, + 6748 + ], + [ + 2856, + 4629 + ], + [ + 806, + 10326 + ], + [ + 1070, + 2293 + ], + [ + 1262, + 8879 + ], + [ + 1009, + 4269 + ], + [ + 6765, + 8347 + ], + [ + 5187, + 7438 + ], + [ + 3186, + 3228 + ], + [ + 4524, + 8814 + ], + [ + 2031, + 4142 + ], + [ + 6296, + 6556 + ], + [ + 4049, + 5323 + ], + [ + 5518, + 10426 + ], + [ + 7574, + 7927 + ], + [ + 1965, + 6528 + ], + [ + 3957, + 6488 + ], + [ + 836, + 2247 + ], + [ + 2623, + 7437 + ], + [ + 4025, + 4148 + ], + [ + 9426, + 11290 + ], + [ + 379, + 4223 + ], + [ + 3265, + 7843 + ], + [ + 6216, + 6977 + ], + [ + 3881, + 10815 + ], + [ + 4610, + 10436 + ], + [ + 5503, + 11242 + ], + [ + 969, + 10855 + ], + [ + 8211, + 11372 + ], + [ + 5246, + 7644 + ], + [ + 1952, + 11554 + ], + [ + 1585, + 10040 + ], + [ + 665, + 6687 + ], + [ + 2545, + 5652 + ], + [ + 7607, + 9164 + ], + [ + 2256, + 5549 + ], + [ + 4748, + 6586 + ], + [ + 2033, + 3033 + ], + [ + 6210, + 9764 + ], + [ + 6184, + 8543 + ], + [ + 10165, + 11198 + ], + [ + 9907, + 10408 + ], + [ + 2560, + 5933 + ], + [ + 2441, + 8685 + ], + [ + 447, + 1482 + ], + [ + 8638, + 10254 + ], + [ + 6269, + 8092 + ], + [ + 6416, + 10771 + ], + [ + 6364, + 10581 + ], + [ + 3336, + 8783 + ], + [ + 2059, + 11020 + ], + [ + 3389, + 6165 + ], + [ + 1967, + 11431 + ], + [ + 3418, + 4651 + ], + [ + 1439, + 3398 + ], + [ + 5102, + 6710 + ], + [ + 2154, + 11257 + ], + [ + 5253, + 6879 + ], + [ + 3119, + 7967 + ], + [ + 404, + 5168 + ], + [ + 3913, + 8013 + ], + [ + 3207, + 7033 + ], + [ + 7113, + 7851 + ], + [ + 24, + 1914 + ], + [ + 1992, + 3732 + ], + [ + 3475, + 7787 + ], + [ + 550, + 7622 + ], + [ + 7773, + 10341 + ], + [ + 25, + 5522 + ], + [ + 10658, + 11107 + ], + [ + 2973, + 10020 + ], + [ + 4907, + 6592 + ], + [ + 1574, + 11328 + ], + [ + 1975, + 5256 + ], + [ + 6585, + 8082 + ], + [ + 7116, + 7718 + ], + [ + 6692, + 11362 + ], + [ + 469, + 2156 + ], + [ + 8787, + 8791 + ], + [ + 788, + 10769 + ], + [ + 3207, + 5878 + ], + [ + 8411, + 9443 + ], + [ + 2403, + 8527 + ], + [ + 565, + 6001 + ], + [ + 312, + 7807 + ], + [ + 2920, + 9985 + ], + [ + 5315, + 6952 + ], + [ + 6347, + 11300 + ], + [ + 10521, + 11344 + ], + [ + 1928, + 8419 + ], + [ + 892, + 7335 + ], + [ + 6991, + 8369 + ], + [ + 4881, + 7599 + ], + [ + 2197, + 6365 + ], + [ + 1832, + 4924 + ], + [ + 10070, + 10132 + ], + [ + 4163, + 5104 + ], + [ + 4627, + 9180 + ], + [ + 10535, + 11400 + ], + [ + 4683, + 10243 + ], + [ + 7360, + 10306 + ], + [ + 3248, + 4724 + ], + [ + 45, + 8752 + ], + [ + 3985, + 8400 + ], + [ + 5265, + 6434 + ], + [ + 2493, + 9517 + ], + [ + 5819, + 7774 + ], + [ + 6008, + 10679 + ], + [ + 2408, + 4683 + ], + [ + 1271, + 2793 + ], + [ + 11174, + 11508 + ], + [ + 4358, + 4417 + ], + [ + 1345, + 4405 + ], + [ + 1749, + 8430 + ], + [ + 9304, + 9444 + ], + [ + 2019, + 10011 + ], + [ + 7526, + 11133 + ], + [ + 1733, + 3763 + ], + [ + 249, + 5899 + ], + [ + 3736, + 11429 + ], + [ + 1635, + 3605 + ], + [ + 8823, + 9521 + ], + [ + 2257, + 9775 + ], + [ + 139, + 4980 + ], + [ + 7986, + 9778 + ], + [ + 7671, + 10706 + ], + [ + 81, + 10637 + ], + [ + 5244, + 7785 + ], + [ + 9222, + 10923 + ], + [ + 3406, + 5259 + ], + [ + 7384, + 8397 + ], + [ + 5200, + 10896 + ], + [ + 4427, + 10946 + ], + [ + 1151, + 9800 + ], + [ + 3742, + 4427 + ], + [ + 10395, + 10965 + ], + [ + 539, + 8455 + ], + [ + 4892, + 9962 + ], + [ + 9532, + 11499 + ], + [ + 2992, + 6558 + ], + [ + 1650, + 4236 + ], + [ + 3511, + 11095 + ], + [ + 5073, + 5809 + ], + [ + 4482, + 8751 + ], + [ + 334, + 3512 + ], + [ + 5313, + 8679 + ], + [ + 4936, + 8729 + ], + [ + 5341, + 9946 + ], + [ + 84, + 5966 + ], + [ + 5099, + 7380 + ], + [ + 6580, + 8356 + ], + [ + 9852, + 10514 + ], + [ + 10029, + 11150 + ], + [ + 10805, + 11371 + ], + [ + 3690, + 10629 + ], + [ + 1715, + 7640 + ], + [ + 5514, + 8561 + ], + [ + 667, + 3513 + ], + [ + 6916, + 7524 + ], + [ + 1816, + 8446 + ], + [ + 7232, + 9450 + ], + [ + 2280, + 6860 + ], + [ + 3962, + 5840 + ], + [ + 4012, + 5203 + ], + [ + 3611, + 4859 + ], + [ + 1840, + 9971 + ], + [ + 5066, + 10249 + ], + [ + 1045, + 8195 + ], + [ + 6461, + 9953 + ], + [ + 828, + 3996 + ], + [ + 10075, + 11094 + ], + [ + 5894, + 6873 + ], + [ + 2291, + 3612 + ], + [ + 1447, + 2698 + ], + [ + 53, + 3596 + ], + [ + 10285, + 11089 + ], + [ + 3253, + 5686 + ], + [ + 6947, + 9065 + ], + [ + 2101, + 6871 + ], + [ + 3909, + 4270 + ], + [ + 196, + 3123 + ], + [ + 2496, + 7400 + ], + [ + 7067, + 11052 + ], + [ + 7951, + 8332 + ], + [ + 3770, + 11281 + ], + [ + 2896, + 8273 + ], + [ + 3892, + 5794 + ], + [ + 9869, + 10063 + ], + [ + 1811, + 4264 + ], + [ + 312, + 7620 + ], + [ + 3636, + 11466 + ], + [ + 7872, + 8978 + ], + [ + 8930, + 11541 + ], + [ + 2798, + 3951 + ], + [ + 2203, + 6774 + ], + [ + 5537, + 5646 + ], + [ + 4537, + 9881 + ], + [ + 2797, + 10896 + ], + [ + 8022, + 8922 + ], + [ + 6724, + 10282 + ], + [ + 6844, + 8886 + ], + [ + 2441, + 6538 + ], + [ + 6458, + 8850 + ], + [ + 2101, + 2683 + ], + [ + 3103, + 8320 + ], + [ + 1202, + 1308 + ], + [ + 2592, + 9336 + ], + [ + 5389, + 8003 + ], + [ + 5585, + 5663 + ], + [ + 977, + 8545 + ], + [ + 3933, + 8023 + ], + [ + 2054, + 5496 + ], + [ + 132, + 4777 + ], + [ + 3050, + 7935 + ], + [ + 125, + 3606 + ], + [ + 2535, + 5769 + ], + [ + 5487, + 8511 + ], + [ + 9621, + 11408 + ], + [ + 5853, + 9800 + ], + [ + 2145, + 2581 + ], + [ + 4049, + 6104 + ], + [ + 248, + 2858 + ], + [ + 4128, + 4707 + ], + [ + 6717, + 9087 + ], + [ + 468, + 912 + ], + [ + 1734, + 10594 + ], + [ + 3671, + 6683 + ], + [ + 6410, + 7624 + ], + [ + 3480, + 7115 + ], + [ + 2179, + 11210 + ], + [ + 5436, + 7418 + ], + [ + 4947, + 11391 + ], + [ + 5317, + 10170 + ], + [ + 238, + 635 + ], + [ + 3257, + 11015 + ], + [ + 9106, + 9622 + ], + [ + 5240, + 6725 + ], + [ + 4904, + 10940 + ], + [ + 2099, + 5215 + ], + [ + 5550, + 11088 + ], + [ + 7756, + 10068 + ], + [ + 1037, + 9326 + ], + [ + 1539, + 10476 + ], + [ + 813, + 9618 + ], + [ + 4746, + 7321 + ], + [ + 2833, + 5210 + ], + [ + 11086, + 11450 + ], + [ + 1258, + 7982 + ], + [ + 876, + 7688 + ], + [ + 1992, + 10229 + ], + [ + 4120, + 7044 + ], + [ + 907, + 10384 + ], + [ + 7379, + 9714 + ], + [ + 6011, + 10335 + ], + [ + 3416, + 7638 + ], + [ + 734, + 815 + ], + [ + 2829, + 8070 + ], + [ + 4603, + 6639 + ], + [ + 828, + 11030 + ], + [ + 3145, + 6586 + ], + [ + 1134, + 1688 + ], + [ + 2793, + 5380 + ], + [ + 2147, + 10867 + ], + [ + 24, + 5728 + ], + [ + 5831, + 7142 + ], + [ + 2567, + 3347 + ], + [ + 730, + 10091 + ], + [ + 3412, + 4836 + ], + [ + 3959, + 4251 + ], + [ + 5886, + 10232 + ], + [ + 378, + 9639 + ], + [ + 5832, + 6963 + ], + [ + 2652, + 8531 + ], + [ + 8374, + 10773 + ], + [ + 2361, + 5349 + ], + [ + 934, + 10271 + ], + [ + 4729, + 8040 + ], + [ + 5224, + 8019 + ], + [ + 957, + 8942 + ], + [ + 1127, + 7633 + ], + [ + 2517, + 9245 + ], + [ + 8556, + 9474 + ], + [ + 6632, + 7928 + ], + [ + 4287, + 10324 + ], + [ + 1088, + 11088 + ], + [ + 6251, + 8236 + ], + [ + 2266, + 2429 + ], + [ + 3217, + 6623 + ], + [ + 4712, + 5777 + ], + [ + 2075, + 8496 + ], + [ + 5313, + 11070 + ], + [ + 3816, + 11089 + ], + [ + 1612, + 7274 + ], + [ + 7923, + 9911 + ], + [ + 1699, + 9148 + ], + [ + 6140, + 7092 + ], + [ + 7767, + 8617 + ], + [ + 5021, + 10669 + ], + [ + 8104, + 11420 + ], + [ + 9188, + 9542 + ], + [ + 5337, + 8431 + ], + [ + 8907, + 10054 + ], + [ + 2152, + 7403 + ], + [ + 409, + 3983 + ], + [ + 1684, + 5083 + ], + [ + 1505, + 2866 + ], + [ + 7067, + 10865 + ], + [ + 2829, + 6110 + ], + [ + 1034, + 7418 + ], + [ + 6107, + 11466 + ], + [ + 4823, + 6116 + ], + [ + 4876, + 9914 + ], + [ + 146, + 5451 + ], + [ + 1403, + 5191 + ], + [ + 240, + 8496 + ], + [ + 3663, + 5905 + ], + [ + 1263, + 2178 + ], + [ + 8738, + 11534 + ], + [ + 3946, + 6193 + ], + [ + 5467, + 6568 + ], + [ + 7418, + 10691 + ], + [ + 86, + 11412 + ], + [ + 8851, + 8967 + ], + [ + 4527, + 5192 + ], + [ + 3002, + 7327 + ], + [ + 2281, + 5315 + ], + [ + 1596, + 5212 + ], + [ + 8282, + 9978 + ], + [ + 7313, + 10116 + ], + [ + 10776, + 11088 + ], + [ + 10096, + 11329 + ], + [ + 633, + 2132 + ], + [ + 879, + 5571 + ], + [ + 3206, + 8261 + ], + [ + 2860, + 6870 + ], + [ + 4957, + 11542 + ], + [ + 2741, + 9622 + ], + [ + 1992, + 7814 + ], + [ + 4098, + 8842 + ], + [ + 1116, + 1727 + ], + [ + 2915, + 4298 + ], + [ + 3006, + 3662 + ], + [ + 7061, + 8710 + ], + [ + 1178, + 8240 + ], + [ + 1677, + 9873 + ], + [ + 6873, + 9413 + ], + [ + 2262, + 6362 + ], + [ + 1149, + 6721 + ], + [ + 2701, + 6409 + ], + [ + 2381, + 4741 + ], + [ + 292, + 7100 + ], + [ + 3928, + 9720 + ], + [ + 6899, + 10984 + ], + [ + 1042, + 9483 + ], + [ + 5467, + 9146 + ], + [ + 422, + 3359 + ], + [ + 2466, + 9925 + ], + [ + 3624, + 6276 + ], + [ + 1602, + 7605 + ], + [ + 6828, + 9239 + ], + [ + 7757, + 9702 + ], + [ + 10017, + 10416 + ], + [ + 3176, + 8745 + ], + [ + 3945, + 7795 + ], + [ + 457, + 8456 + ], + [ + 4732, + 5142 + ], + [ + 4727, + 8181 + ], + [ + 5563, + 8453 + ], + [ + 8015, + 10118 + ], + [ + 9822, + 10298 + ], + [ + 3026, + 7646 + ], + [ + 4466, + 7093 + ], + [ + 1293, + 9078 + ], + [ + 797, + 11126 + ], + [ + 1320, + 6737 + ], + [ + 1222, + 10366 + ], + [ + 1351, + 6050 + ], + [ + 2722, + 9864 + ], + [ + 7453, + 11519 + ], + [ + 2835, + 7297 + ], + [ + 32, + 1645 + ], + [ + 2833, + 4218 + ], + [ + 6666, + 10385 + ], + [ + 1413, + 11065 + ], + [ + 6473, + 6580 + ], + [ + 2865, + 2975 + ], + [ + 4444, + 10902 + ], + [ + 4019, + 6000 + ], + [ + 1059, + 9032 + ], + [ + 6656, + 8916 + ], + [ + 4615, + 6031 + ], + [ + 2990, + 4552 + ], + [ + 1395, + 8200 + ], + [ + 5435, + 5800 + ], + [ + 4008, + 10722 + ], + [ + 3538, + 6077 + ], + [ + 7312, + 10883 + ], + [ + 4442, + 10425 + ], + [ + 4354, + 8326 + ], + [ + 1582, + 11409 + ], + [ + 1295, + 1553 + ], + [ + 7076, + 7408 + ], + [ + 3194, + 4732 + ], + [ + 2783, + 3700 + ], + [ + 6554, + 8989 + ], + [ + 1038, + 3617 + ], + [ + 5864, + 8542 + ], + [ + 4217, + 4830 + ], + [ + 2381, + 9547 + ], + [ + 2417, + 5040 + ], + [ + 7704, + 11114 + ], + [ + 1499, + 8149 + ], + [ + 3531, + 5256 + ], + [ + 4212, + 7869 + ], + [ + 4859, + 5236 + ], + [ + 8464, + 8543 + ], + [ + 1222, + 6528 + ], + [ + 5327, + 10939 + ], + [ + 2839, + 7365 + ], + [ + 4303, + 11370 + ], + [ + 4353, + 10733 + ], + [ + 5445, + 8716 + ], + [ + 3117, + 6555 + ], + [ + 4951, + 5175 + ], + [ + 5198, + 5806 + ], + [ + 1336, + 10198 + ], + [ + 183, + 7775 + ], + [ + 7459, + 9374 + ], + [ + 6771, + 9754 + ], + [ + 4661, + 4820 + ], + [ + 4778, + 5405 + ], + [ + 1693, + 7991 + ], + [ + 5407, + 6330 + ], + [ + 2312, + 3310 + ], + [ + 3843, + 8537 + ], + [ + 2124, + 4013 + ], + [ + 4462, + 4610 + ], + [ + 1144, + 10378 + ], + [ + 5215, + 9543 + ], + [ + 4809, + 8101 + ], + [ + 3180, + 9886 + ], + [ + 6051, + 6782 + ], + [ + 411, + 3064 + ], + [ + 2995, + 7100 + ], + [ + 7848, + 9684 + ], + [ + 3361, + 4979 + ], + [ + 3298, + 10292 + ], + [ + 4014, + 4046 + ], + [ + 906, + 6426 + ], + [ + 3862, + 6658 + ], + [ + 868, + 10106 + ], + [ + 247, + 7544 + ], + [ + 9529, + 11445 + ], + [ + 8027, + 11120 + ], + [ + 3237, + 6606 + ], + [ + 3608, + 8239 + ], + [ + 1204, + 7022 + ], + [ + 6178, + 7681 + ], + [ + 3037, + 6171 + ], + [ + 5189, + 10550 + ], + [ + 3069, + 11344 + ], + [ + 6216, + 7384 + ], + [ + 801, + 2818 + ], + [ + 3184, + 8850 + ], + [ + 4808, + 10858 + ], + [ + 5682, + 7450 + ], + [ + 1069, + 9988 + ], + [ + 2878, + 8743 + ], + [ + 7766, + 10382 + ], + [ + 787, + 8023 + ], + [ + 6425, + 8662 + ], + [ + 3930, + 9579 + ], + [ + 2368, + 2787 + ], + [ + 5050, + 7358 + ], + [ + 67, + 4701 + ], + [ + 7916, + 10326 + ], + [ + 5168, + 11551 + ], + [ + 6047, + 8487 + ], + [ + 2176, + 6000 + ], + [ + 5424, + 9262 + ], + [ + 6043, + 10997 + ], + [ + 866, + 10009 + ], + [ + 2082, + 9748 + ], + [ + 2990, + 11586 + ], + [ + 719, + 10713 + ], + [ + 844, + 11159 + ], + [ + 3886, + 3995 + ], + [ + 6308, + 9201 + ], + [ + 2509, + 8280 + ], + [ + 2010, + 5149 + ], + [ + 1982, + 9517 + ], + [ + 887, + 10482 + ], + [ + 5837, + 6583 + ], + [ + 4195, + 8133 + ], + [ + 919, + 9239 + ], + [ + 108, + 10717 + ], + [ + 4867, + 7250 + ], + [ + 2749, + 8871 + ], + [ + 765, + 6520 + ], + [ + 4927, + 7301 + ], + [ + 1950, + 6946 + ], + [ + 100, + 9321 + ], + [ + 1043, + 1546 + ], + [ + 3845, + 6973 + ], + [ + 2785, + 7747 + ], + [ + 5959, + 8616 + ], + [ + 2394, + 7367 + ], + [ + 4541, + 10648 + ], + [ + 31, + 1987 + ], + [ + 3611, + 10714 + ], + [ + 3797, + 6932 + ], + [ + 1777, + 4924 + ], + [ + 6945, + 8832 + ], + [ + 8908, + 10306 + ], + [ + 1984, + 8408 + ], + [ + 4322, + 9005 + ], + [ + 3078, + 6464 + ], + [ + 428, + 8978 + ], + [ + 206, + 10097 + ], + [ + 5806, + 7246 + ], + [ + 4469, + 5268 + ], + [ + 714, + 8029 + ], + [ + 5444, + 6076 + ], + [ + 3911, + 10602 + ], + [ + 2909, + 8348 + ], + [ + 4538, + 10700 + ], + [ + 7802, + 8079 + ], + [ + 764, + 11529 + ], + [ + 2567, + 8584 + ], + [ + 5559, + 7719 + ], + [ + 1688, + 5232 + ], + [ + 1872, + 7039 + ], + [ + 3466, + 6172 + ], + [ + 4899, + 10864 + ], + [ + 5711, + 10742 + ], + [ + 1038, + 6813 + ], + [ + 5337, + 8057 + ], + [ + 2110, + 6803 + ], + [ + 2309, + 10396 + ], + [ + 1557, + 1901 + ], + [ + 6157, + 10455 + ], + [ + 8829, + 10928 + ], + [ + 5102, + 5157 + ], + [ + 688, + 9036 + ], + [ + 1454, + 8569 + ], + [ + 10302, + 11232 + ], + [ + 777, + 8327 + ], + [ + 1742, + 10699 + ], + [ + 550, + 2686 + ], + [ + 10880, + 11468 + ], + [ + 1293, + 6931 + ], + [ + 6155, + 7349 + ], + [ + 2693, + 2815 + ], + [ + 4470, + 11481 + ], + [ + 2606, + 9986 + ], + [ + 4158, + 9674 + ], + [ + 3377, + 3447 + ], + [ + 956, + 1095 + ], + [ + 7645, + 9542 + ], + [ + 3629, + 10084 + ], + [ + 6575, + 8874 + ], + [ + 3309, + 8416 + ], + [ + 6295, + 9988 + ], + [ + 3714, + 9633 + ], + [ + 5923, + 8130 + ], + [ + 4742, + 10075 + ], + [ + 2966, + 8427 + ], + [ + 3828, + 9920 + ], + [ + 1901, + 2441 + ], + [ + 11176, + 11587 + ], + [ + 3366, + 11552 + ], + [ + 2396, + 2420 + ], + [ + 4073, + 7472 + ], + [ + 31, + 377 + ], + [ + 1154, + 10505 + ], + [ + 6469, + 7293 + ], + [ + 4263, + 6815 + ], + [ + 247, + 7357 + ], + [ + 4688, + 5301 + ], + [ + 4421, + 8155 + ], + [ + 653, + 6547 + ], + [ + 4844, + 5814 + ], + [ + 337, + 7250 + ], + [ + 4726, + 11420 + ], + [ + 9573, + 10806 + ], + [ + 6472, + 7941 + ], + [ + 297, + 3687 + ], + [ + 2762, + 10475 + ], + [ + 981, + 4319 + ], + [ + 327, + 9945 + ], + [ + 4623, + 7508 + ], + [ + 6333, + 8536 + ], + [ + 7700, + 8444 + ], + [ + 3849, + 11497 + ], + [ + 2041, + 7682 + ], + [ + 5240, + 9547 + ], + [ + 4278, + 10856 + ], + [ + 1310, + 9863 + ], + [ + 1845, + 6989 + ], + [ + 3216, + 4387 + ], + [ + 1939, + 10788 + ], + [ + 1060, + 2518 + ], + [ + 411, + 8488 + ], + [ + 6725, + 11396 + ], + [ + 648, + 8431 + ], + [ + 7535, + 10447 + ], + [ + 5689, + 10312 + ], + [ + 2271, + 6050 + ], + [ + 182, + 6157 + ], + [ + 10209, + 10212 + ], + [ + 7456, + 11093 + ], + [ + 806, + 1820 + ], + [ + 2230, + 8678 + ], + [ + 6774, + 10507 + ], + [ + 1022, + 6548 + ], + [ + 950, + 4982 + ], + [ + 895, + 5275 + ], + [ + 1072, + 6665 + ], + [ + 213, + 4689 + ], + [ + 452, + 11121 + ], + [ + 10911, + 11423 + ], + [ + 773, + 9227 + ], + [ + 1081, + 7128 + ], + [ + 3502, + 3818 + ], + [ + 3534, + 5985 + ], + [ + 5254, + 9953 + ], + [ + 1082, + 4320 + ], + [ + 1228, + 9807 + ], + [ + 15, + 7333 + ], + [ + 4115, + 4984 + ], + [ + 326, + 5505 + ], + [ + 2805, + 4829 + ], + [ + 8817, + 11536 + ], + [ + 2807, + 9039 + ], + [ + 694, + 11004 + ], + [ + 682, + 9489 + ], + [ + 7882, + 10504 + ], + [ + 1301, + 4808 + ], + [ + 2173, + 11153 + ], + [ + 9423, + 11531 + ], + [ + 239, + 2503 + ], + [ + 316, + 4413 + ], + [ + 2647, + 11009 + ], + [ + 2492, + 6934 + ], + [ + 313, + 10531 + ], + [ + 583, + 5696 + ], + [ + 10240, + 10972 + ], + [ + 3200, + 5708 + ], + [ + 5782, + 8917 + ], + [ + 2105, + 3263 + ], + [ + 1167, + 9130 + ], + [ + 5783, + 6109 + ], + [ + 666, + 4418 + ], + [ + 4246, + 6729 + ], + [ + 6460, + 11232 + ], + [ + 1066, + 5291 + ], + [ + 1635, + 7663 + ], + [ + 1578, + 7129 + ], + [ + 3441, + 11405 + ], + [ + 6674, + 7219 + ], + [ + 793, + 3412 + ], + [ + 5547, + 6017 + ], + [ + 1844, + 4804 + ], + [ + 5332, + 7526 + ], + [ + 1034, + 3474 + ], + [ + 9781, + 10249 + ], + [ + 2212, + 6893 + ], + [ + 5722, + 7711 + ], + [ + 257, + 9444 + ], + [ + 6014, + 7331 + ], + [ + 3012, + 5256 + ], + [ + 659, + 6980 + ], + [ + 2361, + 3983 + ], + [ + 8090, + 10402 + ], + [ + 1061, + 4516 + ], + [ + 2952, + 3670 + ], + [ + 7623, + 10936 + ], + [ + 2673, + 5009 + ], + [ + 7872, + 8230 + ], + [ + 62, + 5943 + ], + [ + 6378, + 9678 + ], + [ + 3291, + 6519 + ], + [ + 5228, + 6772 + ], + [ + 7962, + 8123 + ], + [ + 2102, + 2187 + ], + [ + 1107, + 3356 + ], + [ + 3476, + 10436 + ], + [ + 2670, + 11504 + ], + [ + 2004, + 11451 + ], + [ + 3874, + 10482 + ], + [ + 4846, + 7609 + ], + [ + 4434, + 8604 + ], + [ + 907, + 3675 + ], + [ + 5526, + 10751 + ], + [ + 1221, + 11190 + ], + [ + 2191, + 8244 + ], + [ + 6329, + 8631 + ], + [ + 7043, + 7974 + ], + [ + 1439, + 6919 + ], + [ + 374, + 6595 + ], + [ + 5611, + 6136 + ], + [ + 5296, + 11228 + ], + [ + 6727, + 8677 + ], + [ + 4851, + 9831 + ], + [ + 3302, + 7408 + ], + [ + 6127, + 8123 + ], + [ + 4480, + 10827 + ], + [ + 5719, + 6608 + ], + [ + 4721, + 7506 + ], + [ + 1923, + 2952 + ], + [ + 2394, + 8953 + ], + [ + 1272, + 8095 + ], + [ + 589, + 4655 + ], + [ + 431, + 1063 + ], + [ + 4451, + 9308 + ], + [ + 2693, + 8239 + ], + [ + 984, + 7813 + ], + [ + 5211, + 7491 + ], + [ + 5206, + 7147 + ], + [ + 5677, + 6732 + ], + [ + 567, + 2048 + ], + [ + 5668, + 8898 + ], + [ + 5585, + 7143 + ], + [ + 532, + 3747 + ], + [ + 906, + 11313 + ], + [ + 2367, + 5221 + ], + [ + 158, + 1062 + ], + [ + 4464, + 9893 + ], + [ + 4832, + 7845 + ], + [ + 3065, + 4031 + ], + [ + 3841, + 4252 + ], + [ + 3056, + 6197 + ], + [ + 5785, + 6450 + ], + [ + 346, + 3742 + ], + [ + 6137, + 11039 + ], + [ + 6846, + 9284 + ], + [ + 6970, + 11013 + ], + [ + 468, + 2392 + ], + [ + 1669, + 7515 + ], + [ + 1278, + 7859 + ], + [ + 3205, + 6670 + ], + [ + 5450, + 7076 + ], + [ + 9641, + 10507 + ], + [ + 1360, + 9389 + ], + [ + 8576, + 10937 + ], + [ + 4288, + 6819 + ], + [ + 4945, + 5628 + ], + [ + 5597, + 7503 + ], + [ + 5724, + 9530 + ], + [ + 4912, + 7400 + ], + [ + 1486, + 11191 + ], + [ + 335, + 9595 + ], + [ + 5932, + 9479 + ], + [ + 1517, + 4088 + ], + [ + 2886, + 7075 + ], + [ + 5028, + 10766 + ], + [ + 2967, + 6505 + ], + [ + 5341, + 9011 + ], + [ + 8851, + 9829 + ], + [ + 4594, + 8030 + ], + [ + 8114, + 9536 + ], + [ + 9915, + 9928 + ], + [ + 6924, + 7231 + ], + [ + 1095, + 1362 + ], + [ + 2815, + 5330 + ], + [ + 1588, + 11094 + ], + [ + 6640, + 10855 + ], + [ + 7070, + 10439 + ], + [ + 7570, + 8510 + ], + [ + 3888, + 8174 + ], + [ + 9017, + 10656 + ], + [ + 1919, + 6885 + ], + [ + 4730, + 10146 + ], + [ + 3259, + 9134 + ], + [ + 1206, + 11150 + ], + [ + 7441, + 9793 + ], + [ + 5903, + 6805 + ], + [ + 2782, + 3318 + ], + [ + 180, + 4338 + ], + [ + 6594, + 10860 + ], + [ + 3540, + 8595 + ], + [ + 708, + 4457 + ], + [ + 2565, + 4781 + ], + [ + 4878, + 9263 + ], + [ + 1447, + 11212 + ], + [ + 8862, + 9937 + ], + [ + 3372, + 3534 + ], + [ + 6706, + 8068 + ], + [ + 1312, + 2127 + ], + [ + 2497, + 2553 + ], + [ + 6619, + 9577 + ], + [ + 769, + 5083 + ], + [ + 788, + 2881 + ], + [ + 7692, + 9038 + ], + [ + 5115, + 9556 + ], + [ + 7575, + 11082 + ], + [ + 7945, + 9861 + ], + [ + 65, + 2671 + ], + [ + 1257, + 5022 + ], + [ + 347, + 1603 + ], + [ + 818, + 1188 + ], + [ + 1771, + 9215 + ], + [ + 1843, + 8529 + ], + [ + 2840, + 9658 + ], + [ + 5347, + 11030 + ], + [ + 1395, + 3451 + ], + [ + 187, + 1321 + ], + [ + 2797, + 6578 + ], + [ + 1047, + 6151 + ], + [ + 2454, + 9622 + ], + [ + 4417, + 11096 + ], + [ + 1117, + 5392 + ], + [ + 4389, + 9048 + ], + [ + 363, + 2486 + ], + [ + 2259, + 2738 + ], + [ + 1642, + 10875 + ], + [ + 615, + 7625 + ], + [ + 7547, + 8660 + ], + [ + 455, + 8841 + ], + [ + 359, + 2717 + ], + [ + 671, + 737 + ], + [ + 1135, + 5567 + ], + [ + 252, + 11141 + ], + [ + 9474, + 10827 + ], + [ + 1993, + 10701 + ], + [ + 3820, + 8904 + ], + [ + 1091, + 6399 + ], + [ + 2356, + 2647 + ], + [ + 8829, + 9749 + ], + [ + 5315, + 11441 + ], + [ + 5375, + 11492 + ], + [ + 497, + 11295 + ], + [ + 339, + 7703 + ], + [ + 2419, + 9762 + ], + [ + 931, + 1199 + ], + [ + 10414, + 11048 + ], + [ + 3031, + 4664 + ], + [ + 1482, + 2241 + ], + [ + 1228, + 10238 + ], + [ + 2780, + 10680 + ], + [ + 2631, + 10557 + ], + [ + 2215, + 8427 + ], + [ + 3281, + 5189 + ], + [ + 3393, + 5430 + ], + [ + 2554, + 11276 + ], + [ + 3552, + 3962 + ], + [ + 5233, + 11385 + ], + [ + 177, + 2056 + ], + [ + 7905, + 11104 + ], + [ + 1957, + 10239 + ], + [ + 364, + 8298 + ], + [ + 837, + 3792 + ], + [ + 9527, + 10033 + ], + [ + 1951, + 10424 + ], + [ + 1051, + 2031 + ], + [ + 3077, + 7237 + ], + [ + 2237, + 9475 + ], + [ + 6375, + 10616 + ], + [ + 2206, + 7910 + ], + [ + 3505, + 10158 + ], + [ + 5060, + 9363 + ], + [ + 17, + 6655 + ], + [ + 1419, + 9782 + ], + [ + 3912, + 8038 + ], + [ + 794, + 3314 + ], + [ + 2294, + 6976 + ], + [ + 4164, + 8259 + ], + [ + 1785, + 5409 + ], + [ + 6958, + 7409 + ], + [ + 2947, + 8295 + ], + [ + 705, + 8160 + ], + [ + 6729, + 7357 + ], + [ + 6176, + 8871 + ], + [ + 3872, + 5606 + ], + [ + 4023, + 5021 + ], + [ + 2622, + 5502 + ], + [ + 874, + 5902 + ], + [ + 5700, + 6663 + ], + [ + 7720, + 7917 + ], + [ + 9055, + 9822 + ], + [ + 2179, + 4932 + ], + [ + 2096, + 9593 + ], + [ + 2743, + 6960 + ], + [ + 5845, + 6263 + ], + [ + 3212, + 5718 + ], + [ + 4418, + 11185 + ], + [ + 210, + 3643 + ], + [ + 9655, + 10726 + ], + [ + 3024, + 6421 + ], + [ + 3207, + 8757 + ], + [ + 769, + 4546 + ], + [ + 4511, + 9097 + ], + [ + 1925, + 4234 + ], + [ + 9479, + 11439 + ], + [ + 458, + 9757 + ], + [ + 2982, + 3162 + ], + [ + 6748, + 8107 + ], + [ + 4408, + 10847 + ], + [ + 7792, + 9082 + ], + [ + 9507, + 10454 + ], + [ + 1570, + 9146 + ], + [ + 2494, + 2849 + ], + [ + 1377, + 2335 + ], + [ + 3930, + 7058 + ], + [ + 3436, + 10687 + ], + [ + 9907, + 11327 + ], + [ + 4499, + 7178 + ], + [ + 2402, + 3260 + ], + [ + 1624, + 2966 + ], + [ + 2506, + 9999 + ], + [ + 3683, + 10564 + ], + [ + 3547, + 5041 + ], + [ + 8245, + 9966 + ], + [ + 836, + 8777 + ], + [ + 4884, + 6238 + ], + [ + 1558, + 1565 + ], + [ + 2203, + 8685 + ], + [ + 1432, + 9562 + ], + [ + 594, + 6211 + ], + [ + 5535, + 10894 + ], + [ + 1620, + 5826 + ], + [ + 116, + 8838 + ], + [ + 840, + 8869 + ], + [ + 5353, + 8379 + ], + [ + 4109, + 6592 + ], + [ + 298, + 8320 + ], + [ + 2892, + 6628 + ], + [ + 385, + 10948 + ], + [ + 10393, + 10789 + ], + [ + 4815, + 10955 + ], + [ + 7093, + 11501 + ], + [ + 82, + 559 + ], + [ + 1766, + 9034 + ], + [ + 3065, + 10528 + ], + [ + 4092, + 8116 + ], + [ + 1905, + 4682 + ], + [ + 5065, + 8097 + ], + [ + 2322, + 9666 + ], + [ + 1011, + 6657 + ], + [ + 5770, + 9606 + ], + [ + 450, + 1894 + ], + [ + 381, + 10425 + ], + [ + 6301, + 9242 + ], + [ + 2369, + 6479 + ], + [ + 5794, + 11131 + ], + [ + 8471, + 11194 + ], + [ + 8631, + 9197 + ], + [ + 6948, + 9992 + ], + [ + 355, + 2007 + ], + [ + 5570, + 5761 + ], + [ + 8257, + 10676 + ], + [ + 1461, + 3860 + ], + [ + 9812, + 10635 + ], + [ + 4392, + 11387 + ], + [ + 600, + 5221 + ], + [ + 5877, + 9853 + ], + [ + 3494, + 3821 + ], + [ + 1708, + 3737 + ], + [ + 4767, + 4848 + ], + [ + 6971, + 8663 + ], + [ + 1057, + 8880 + ], + [ + 5162, + 6875 + ], + [ + 5193, + 6188 + ], + [ + 680, + 6678 + ], + [ + 3608, + 4108 + ], + [ + 7436, + 9931 + ], + [ + 3262, + 3471 + ], + [ + 3040, + 4590 + ], + [ + 3847, + 4124 + ], + [ + 1395, + 2459 + ], + [ + 3053, + 9713 + ], + [ + 1921, + 8167 + ], + [ + 3483, + 8543 + ], + [ + 1833, + 6068 + ], + [ + 3815, + 5340 + ], + [ + 3078, + 4293 + ], + [ + 482, + 2906 + ], + [ + 3699, + 7609 + ], + [ + 3876, + 8245 + ], + [ + 3814, + 5115 + ], + [ + 202, + 10436 + ], + [ + 8421, + 10676 + ], + [ + 2659, + 9035 + ], + [ + 2540, + 11033 + ], + [ + 2471, + 8984 + ], + [ + 451, + 560 + ], + [ + 1638, + 6731 + ], + [ + 9322, + 9845 + ], + [ + 6050, + 11070 + ], + [ + 3989, + 6809 + ], + [ + 6265, + 6528 + ], + [ + 4155, + 8010 + ], + [ + 165, + 1859 + ], + [ + 10125, + 11108 + ], + [ + 779, + 9666 + ], + [ + 944, + 1597 + ], + [ + 4247, + 4566 + ], + [ + 1002, + 4985 + ], + [ + 1621, + 4468 + ], + [ + 2426, + 5427 + ], + [ + 4048, + 10772 + ], + [ + 3642, + 5920 + ], + [ + 523, + 2506 + ], + [ + 2241, + 9811 + ], + [ + 7189, + 9249 + ], + [ + 3708, + 6917 + ], + [ + 8035, + 10209 + ], + [ + 1330, + 6921 + ], + [ + 5226, + 11158 + ], + [ + 7246, + 9002 + ], + [ + 3794, + 10074 + ], + [ + 2739, + 10438 + ], + [ + 1232, + 9769 + ], + [ + 265, + 4318 + ], + [ + 2627, + 5309 + ], + [ + 1916, + 10401 + ], + [ + 7487, + 9064 + ], + [ + 3313, + 6768 + ], + [ + 2850, + 4792 + ], + [ + 319, + 10970 + ], + [ + 4302, + 7282 + ], + [ + 6644, + 11004 + ], + [ + 10534, + 11289 + ], + [ + 2781, + 6126 + ], + [ + 1946, + 9462 + ], + [ + 3615, + 9735 + ], + [ + 1471, + 3719 + ], + [ + 6133, + 8987 + ], + [ + 3793, + 5311 + ], + [ + 8531, + 10389 + ], + [ + 7976, + 8824 + ], + [ + 3048, + 10792 + ], + [ + 3322, + 3447 + ], + [ + 2458, + 7543 + ], + [ + 4629, + 8966 + ], + [ + 6253, + 10974 + ], + [ + 2855, + 10397 + ], + [ + 1153, + 7732 + ], + [ + 436, + 2456 + ], + [ + 7031, + 10487 + ], + [ + 2642, + 6317 + ], + [ + 7862, + 10415 + ], + [ + 1422, + 2672 + ], + [ + 5090, + 7082 + ], + [ + 1609, + 8914 + ], + [ + 4971, + 9834 + ], + [ + 6989, + 11015 + ], + [ + 6120, + 8351 + ], + [ + 1512, + 11233 + ], + [ + 1072, + 5299 + ], + [ + 208, + 2979 + ], + [ + 2044, + 2426 + ], + [ + 4212, + 6584 + ], + [ + 3835, + 4382 + ], + [ + 8361, + 11267 + ], + [ + 7272, + 10549 + ], + [ + 1200, + 1512 + ], + [ + 1219, + 1562 + ], + [ + 6174, + 8587 + ], + [ + 8815, + 8993 + ], + [ + 348, + 2235 + ], + [ + 538, + 1578 + ], + [ + 5200, + 11010 + ], + [ + 5360, + 9013 + ], + [ + 8942, + 11397 + ], + [ + 7049, + 11416 + ], + [ + 6165, + 7720 + ], + [ + 757, + 10741 + ], + [ + 1003, + 7010 + ], + [ + 6127, + 11400 + ], + [ + 10648, + 11525 + ], + [ + 2058, + 5865 + ], + [ + 1497, + 7518 + ], + [ + 1533, + 3011 + ], + [ + 1241, + 3391 + ], + [ + 2928, + 11383 + ], + [ + 2826, + 4690 + ], + [ + 5873, + 10702 + ], + [ + 861, + 6553 + ], + [ + 121, + 2579 + ], + [ + 608, + 2697 + ], + [ + 1211, + 10315 + ], + [ + 10641, + 10704 + ], + [ + 3074, + 8175 + ], + [ + 1422, + 8283 + ], + [ + 2330, + 10875 + ], + [ + 7187, + 10195 + ], + [ + 1829, + 6163 + ], + [ + 7587, + 11068 + ], + [ + 3650, + 10213 + ], + [ + 8345, + 9205 + ], + [ + 4016, + 5840 + ], + [ + 2281, + 10609 + ], + [ + 6572, + 7828 + ], + [ + 7136, + 9856 + ], + [ + 8849, + 10401 + ], + [ + 95, + 6619 + ], + [ + 3202, + 6266 + ], + [ + 9086, + 9590 + ], + [ + 6880, + 9112 + ], + [ + 6164, + 8942 + ], + [ + 192, + 3519 + ], + [ + 5696, + 7376 + ], + [ + 1271, + 1297 + ], + [ + 1460, + 3448 + ], + [ + 4668, + 10317 + ], + [ + 5382, + 8906 + ], + [ + 5129, + 8460 + ], + [ + 3263, + 11056 + ], + [ + 308, + 8016 + ], + [ + 5377, + 5529 + ], + [ + 4033, + 6544 + ], + [ + 2818, + 9659 + ], + [ + 268, + 8617 + ], + [ + 9232, + 9765 + ], + [ + 7554, + 10904 + ], + [ + 8330, + 11125 + ], + [ + 806, + 5260 + ], + [ + 2793, + 4876 + ], + [ + 6965, + 11263 + ], + [ + 6482, + 7911 + ], + [ + 8849, + 9246 + ], + [ + 1760, + 7473 + ], + [ + 228, + 8437 + ], + [ + 10126, + 10392 + ], + [ + 603, + 1898 + ], + [ + 783, + 6969 + ], + [ + 6230, + 9538 + ], + [ + 532, + 3186 + ], + [ + 289, + 3428 + ], + [ + 9906, + 11557 + ], + [ + 2425, + 8802 + ], + [ + 8400, + 11490 + ], + [ + 5542, + 9137 + ], + [ + 2429, + 8921 + ], + [ + 1937, + 2797 + ], + [ + 6470, + 10129 + ], + [ + 3385, + 7797 + ], + [ + 4505, + 7828 + ], + [ + 6535, + 10524 + ], + [ + 437, + 5928 + ], + [ + 709, + 4172 + ], + [ + 1433, + 4203 + ], + [ + 3229, + 4251 + ], + [ + 3657, + 9424 + ], + [ + 8265, + 11423 + ], + [ + 4812, + 9641 + ], + [ + 4631, + 6597 + ], + [ + 2723, + 5584 + ], + [ + 4126, + 11565 + ], + [ + 3875, + 7782 + ], + [ + 1998, + 6082 + ], + [ + 9566, + 11465 + ], + [ + 6673, + 9303 + ], + [ + 1568, + 3465 + ], + [ + 6103, + 7460 + ], + [ + 8680, + 10325 + ], + [ + 2835, + 6175 + ], + [ + 1739, + 10702 + ], + [ + 6386, + 6994 + ], + [ + 4111, + 4467 + ], + [ + 1251, + 4697 + ], + [ + 1492, + 7792 + ], + [ + 5110, + 5669 + ], + [ + 11072, + 11158 + ], + [ + 62, + 2617 + ], + [ + 2512, + 4209 + ], + [ + 5042, + 11392 + ], + [ + 1233, + 9783 + ], + [ + 5063, + 5853 + ], + [ + 4794, + 7126 + ], + [ + 584, + 5173 + ], + [ + 3598, + 8039 + ], + [ + 10354, + 11292 + ], + [ + 3077, + 6058 + ], + [ + 2726, + 11493 + ], + [ + 7953, + 10346 + ], + [ + 7395, + 11516 + ], + [ + 10257, + 10578 + ], + [ + 1350, + 4302 + ], + [ + 2628, + 5673 + ], + [ + 2717, + 10626 + ], + [ + 1155, + 3834 + ], + [ + 2881, + 8748 + ], + [ + 9027, + 9628 + ], + [ + 3239, + 6012 + ], + [ + 2585, + 7474 + ], + [ + 4796, + 6798 + ], + [ + 3619, + 6233 + ], + [ + 7977, + 8838 + ], + [ + 2590, + 5566 + ], + [ + 1034, + 9142 + ], + [ + 7591, + 11054 + ], + [ + 2520, + 10462 + ], + [ + 1431, + 5580 + ], + [ + 1049, + 3034 + ], + [ + 1741, + 9943 + ], + [ + 3800, + 4709 + ], + [ + 3234, + 6018 + ], + [ + 2389, + 10918 + ], + [ + 369, + 6658 + ], + [ + 1363, + 7516 + ], + [ + 776, + 4538 + ], + [ + 2078, + 9713 + ], + [ + 175, + 9044 + ], + [ + 7088, + 10783 + ], + [ + 5741, + 7363 + ], + [ + 550, + 1751 + ], + [ + 5493, + 7261 + ], + [ + 918, + 6873 + ], + [ + 4849, + 9411 + ], + [ + 4806, + 6331 + ], + [ + 6710, + 10608 + ], + [ + 232, + 6545 + ], + [ + 9689, + 11009 + ], + [ + 7860, + 9727 + ], + [ + 6359, + 6594 + ], + [ + 2178, + 3127 + ], + [ + 3055, + 9816 + ], + [ + 1002, + 5416 + ], + [ + 8834, + 9182 + ], + [ + 2084, + 9127 + ], + [ + 239, + 3178 + ], + [ + 1374, + 4241 + ], + [ + 8218, + 10347 + ], + [ + 4300, + 11424 + ], + [ + 5754, + 10577 + ], + [ + 5723, + 9012 + ], + [ + 7249, + 10485 + ], + [ + 2894, + 5145 + ], + [ + 10454, + 10667 + ], + [ + 4079, + 9735 + ], + [ + 3329, + 8483 + ], + [ + 805, + 5252 + ], + [ + 8210, + 8951 + ], + [ + 8337, + 8726 + ], + [ + 4137, + 7461 + ], + [ + 4531, + 6634 + ], + [ + 5749, + 7200 + ], + [ + 4505, + 5413 + ], + [ + 4541, + 5070 + ], + [ + 2452, + 5177 + ], + [ + 8458, + 10184 + ], + [ + 705, + 11437 + ], + [ + 4247, + 10258 + ], + [ + 9161, + 10866 + ], + [ + 9314, + 11108 + ], + [ + 10809, + 11016 + ], + [ + 6695, + 8771 + ], + [ + 17, + 3866 + ], + [ + 3094, + 4802 + ], + [ + 8316, + 9727 + ], + [ + 4776, + 10198 + ], + [ + 1753, + 9498 + ], + [ + 7358, + 7745 + ], + [ + 1556, + 5951 + ], + [ + 3180, + 7959 + ], + [ + 3825, + 10915 + ], + [ + 1220, + 6002 + ], + [ + 3668, + 10931 + ], + [ + 1519, + 6069 + ], + [ + 2644, + 6444 + ], + [ + 2486, + 3606 + ], + [ + 5820, + 8140 + ], + [ + 3515, + 3519 + ], + [ + 5259, + 9793 + ], + [ + 9147, + 10005 + ], + [ + 1919, + 6942 + ], + [ + 3131, + 9945 + ], + [ + 3384, + 8139 + ], + [ + 4760, + 5881 + ], + [ + 6059, + 7375 + ], + [ + 3848, + 6553 + ], + [ + 5150, + 5312 + ], + [ + 390, + 9308 + ], + [ + 610, + 946 + ], + [ + 7301, + 9466 + ], + [ + 482, + 5110 + ], + [ + 6237, + 6334 + ], + [ + 6006, + 10373 + ], + [ + 6883, + 10646 + ], + [ + 751, + 3056 + ], + [ + 2529, + 8914 + ], + [ + 5607, + 9321 + ], + [ + 5700, + 6102 + ], + [ + 443, + 2122 + ], + [ + 1300, + 7435 + ], + [ + 1189, + 10048 + ], + [ + 802, + 2994 + ], + [ + 6471, + 8608 + ], + [ + 3950, + 9058 + ], + [ + 8580, + 9153 + ], + [ + 1362, + 7532 + ], + [ + 7239, + 7433 + ], + [ + 4382, + 5682 + ], + [ + 3036, + 5870 + ], + [ + 85, + 4484 + ], + [ + 2041, + 11203 + ], + [ + 6420, + 8269 + ], + [ + 7710, + 10401 + ], + [ + 5924, + 10317 + ], + [ + 1299, + 3396 + ], + [ + 2171, + 10495 + ], + [ + 917, + 7266 + ], + [ + 547, + 2071 + ], + [ + 2109, + 2447 + ], + [ + 6333, + 9024 + ], + [ + 3903, + 8838 + ], + [ + 5914, + 6596 + ], + [ + 2025, + 2749 + ], + [ + 323, + 3494 + ], + [ + 6009, + 9085 + ], + [ + 4083, + 10876 + ], + [ + 6853, + 6966 + ], + [ + 2084, + 6712 + ], + [ + 749, + 2555 + ], + [ + 310, + 5891 + ], + [ + 1547, + 6507 + ], + [ + 499, + 2380 + ], + [ + 4146, + 11575 + ], + [ + 4889, + 9404 + ], + [ + 5154, + 10641 + ], + [ + 8199, + 9410 + ], + [ + 6216, + 9913 + ], + [ + 3697, + 11190 + ], + [ + 459, + 2200 + ], + [ + 8831, + 9098 + ], + [ + 1818, + 8663 + ], + [ + 758, + 8683 + ], + [ + 1878, + 8714 + ], + [ + 2007, + 4398 + ], + [ + 1067, + 9438 + ], + [ + 4308, + 5867 + ], + [ + 5801, + 10610 + ], + [ + 7570, + 8835 + ], + [ + 854, + 6112 + ], + [ + 749, + 1400 + ], + [ + 2834, + 3803 + ], + [ + 2586, + 10871 + ], + [ + 8496, + 9000 + ], + [ + 2630, + 10389 + ], + [ + 3862, + 4999 + ], + [ + 2523, + 3352 + ], + [ + 1370, + 3181 + ], + [ + 7779, + 9359 + ], + [ + 7321, + 8481 + ], + [ + 1748, + 6739 + ], + [ + 370, + 1754 + ], + [ + 4363, + 5924 + ], + [ + 9893, + 11002 + ], + [ + 8411, + 9801 + ], + [ + 1582, + 4757 + ], + [ + 4665, + 6262 + ], + [ + 7749, + 8369 + ], + [ + 5507, + 7480 + ], + [ + 7095, + 9077 + ], + [ + 457, + 1349 + ], + [ + 1833, + 5507 + ], + [ + 3163, + 6314 + ], + [ + 3008, + 9409 + ], + [ + 117, + 10326 + ], + [ + 2507, + 11113 + ], + [ + 2237, + 3116 + ], + [ + 1141, + 8397 + ], + [ + 294, + 3048 + ], + [ + 5715, + 11566 + ], + [ + 10911, + 11106 + ], + [ + 8302, + 8703 + ], + [ + 1721, + 3761 + ], + [ + 1351, + 1976 + ], + [ + 3278, + 3793 + ], + [ + 218, + 7375 + ], + [ + 5142, + 8671 + ], + [ + 6396, + 11146 + ], + [ + 7509, + 10006 + ], + [ + 30, + 1662 + ], + [ + 2394, + 3480 + ], + [ + 2586, + 10066 + ], + [ + 320, + 4619 + ], + [ + 4360, + 4471 + ], + [ + 2770, + 5457 + ], + [ + 7320, + 10484 + ], + [ + 3521, + 3901 + ], + [ + 2953, + 4383 + ], + [ + 4787, + 7167 + ], + [ + 3859, + 9558 + ], + [ + 1674, + 9957 + ], + [ + 306, + 9824 + ], + [ + 3231, + 3573 + ], + [ + 3915, + 10621 + ], + [ + 5164, + 6336 + ], + [ + 3290, + 10569 + ], + [ + 573, + 4691 + ], + [ + 855, + 3623 + ], + [ + 6462, + 8359 + ], + [ + 2565, + 11067 + ], + [ + 5376, + 7912 + ], + [ + 2984, + 10462 + ], + [ + 8232, + 10192 + ], + [ + 1477, + 9793 + ], + [ + 6678, + 8923 + ], + [ + 3435, + 3753 + ], + [ + 1707, + 6283 + ], + [ + 4744, + 6689 + ], + [ + 981, + 5425 + ], + [ + 795, + 6955 + ], + [ + 855, + 7006 + ], + [ + 2885, + 3286 + ], + [ + 3315, + 9286 + ], + [ + 4206, + 7013 + ], + [ + 2530, + 4815 + ], + [ + 1377, + 2392 + ], + [ + 1781, + 7171 + ], + [ + 4902, + 4996 + ], + [ + 4236, + 8353 + ], + [ + 5206, + 5407 + ], + [ + 6051, + 6896 + ], + [ + 9055, + 9074 + ], + [ + 5445, + 11058 + ], + [ + 1007, + 10379 + ], + [ + 592, + 5441 + ], + [ + 5538, + 10468 + ], + [ + 2701, + 5986 + ], + [ + 4724, + 5259 + ], + [ + 1391, + 5831 + ], + [ + 2795, + 3369 + ], + [ + 5933, + 10997 + ], + [ + 6898, + 6953 + ], + [ + 3508, + 11155 + ], + [ + 4351, + 6182 + ], + [ + 1302, + 10677 + ], + [ + 1421, + 5673 + ], + [ + 3948, + 9175 + ], + [ + 2852, + 3122 + ], + [ + 1763, + 2404 + ], + [ + 142, + 667 + ], + [ + 4221, + 10273 + ], + [ + 2915, + 7608 + ], + [ + 1053, + 6940 + ], + [ + 6810, + 8237 + ], + [ + 146, + 7956 + ], + [ + 1608, + 4718 + ], + [ + 1472, + 11273 + ], + [ + 942, + 8829 + ], + [ + 8595, + 10378 + ], + [ + 2311, + 3148 + ], + [ + 8728, + 9187 + ], + [ + 2708, + 6002 + ], + [ + 4050, + 4914 + ], + [ + 7826, + 10547 + ], + [ + 1821, + 9148 + ], + [ + 2900, + 6172 + ], + [ + 3028, + 11053 + ], + [ + 2651, + 8851 + ], + [ + 2114, + 8646 + ], + [ + 4612, + 7246 + ], + [ + 2246, + 4601 + ], + [ + 6595, + 9372 + ], + [ + 2548, + 4939 + ], + [ + 1959, + 4544 + ], + [ + 4696, + 9576 + ], + [ + 6375, + 11291 + ], + [ + 6521, + 10362 + ], + [ + 9537, + 10645 + ], + [ + 4403, + 5567 + ], + [ + 2474, + 2923 + ], + [ + 765, + 9667 + ], + [ + 1078, + 3748 + ], + [ + 1133, + 7619 + ], + [ + 696, + 7618 + ], + [ + 7516, + 8412 + ], + [ + 2375, + 9333 + ], + [ + 1630, + 2009 + ], + [ + 4090, + 4289 + ], + [ + 1416, + 3743 + ], + [ + 723, + 2244 + ], + [ + 4797, + 11506 + ], + [ + 535, + 9363 + ], + [ + 6447, + 8319 + ], + [ + 1868, + 8189 + ], + [ + 3674, + 4761 + ], + [ + 2430, + 2974 + ], + [ + 8679, + 11149 + ], + [ + 6206, + 8607 + ], + [ + 9804, + 11524 + ], + [ + 2617, + 9216 + ], + [ + 3918, + 5121 + ], + [ + 5753, + 7349 + ], + [ + 4519, + 6250 + ], + [ + 6871, + 10717 + ], + [ + 5071, + 10927 + ], + [ + 10324, + 11001 + ], + [ + 991, + 7512 + ], + [ + 4167, + 5044 + ], + [ + 208, + 6874 + ], + [ + 1853, + 2589 + ], + [ + 8673, + 10553 + ], + [ + 9485, + 10431 + ], + [ + 2021, + 4617 + ], + [ + 1615, + 3929 + ], + [ + 2326, + 5253 + ], + [ + 6628, + 10178 + ], + [ + 112, + 9795 + ], + [ + 308, + 7455 + ], + [ + 1884, + 7537 + ], + [ + 1597, + 1845 + ], + [ + 2818, + 9098 + ], + [ + 168, + 10858 + ], + [ + 2876, + 6070 + ], + [ + 1795, + 5967 + ], + [ + 2416, + 8529 + ], + [ + 5339, + 5615 + ], + [ + 764, + 5227 + ], + [ + 10194, + 11278 + ], + [ + 1911, + 7081 + ], + [ + 2274, + 4689 + ], + [ + 2217, + 4155 + ], + [ + 4796, + 7847 + ], + [ + 8261, + 9646 + ], + [ + 974, + 2970 + ], + [ + 103, + 5895 + ], + [ + 7036, + 11292 + ], + [ + 682, + 8985 + ], + [ + 6017, + 11313 + ], + [ + 2834, + 6194 + ], + [ + 1495, + 7553 + ], + [ + 241, + 5078 + ], + [ + 2426, + 4679 + ], + [ + 1278, + 9770 + ], + [ + 3477, + 6825 + ], + [ + 8929, + 10492 + ], + [ + 2334, + 5090 + ], + [ + 3793, + 8751 + ], + [ + 6553, + 11323 + ], + [ + 2821, + 5208 + ], + [ + 2147, + 8647 + ], + [ + 1354, + 11485 + ], + [ + 4263, + 11117 + ], + [ + 2257, + 6563 + ], + [ + 8480, + 9353 + ], + [ + 639, + 8507 + ], + [ + 4216, + 10547 + ], + [ + 3564, + 6420 + ], + [ + 3971, + 10716 + ], + [ + 3694, + 5712 + ], + [ + 8945, + 11375 + ], + [ + 2324, + 11168 + ], + [ + 6894, + 7802 + ], + [ + 390, + 8934 + ], + [ + 10446, + 11475 + ], + [ + 3808, + 5999 + ], + [ + 3369, + 8581 + ], + [ + 383, + 11146 + ], + [ + 1622, + 6173 + ], + [ + 1250, + 10731 + ], + [ + 4049, + 5307 + ], + [ + 6449, + 7536 + ], + [ + 2115, + 3073 + ], + [ + 411, + 2991 + ], + [ + 9461, + 9575 + ], + [ + 8026, + 11226 + ], + [ + 3052, + 4151 + ], + [ + 1403, + 10192 + ], + [ + 3793, + 4563 + ], + [ + 6903, + 10143 + ], + [ + 1143, + 2913 + ], + [ + 1154, + 10619 + ], + [ + 3764, + 9460 + ], + [ + 7520, + 9553 + ], + [ + 312, + 6368 + ], + [ + 551, + 2220 + ], + [ + 6314, + 7469 + ], + [ + 8836, + 10627 + ], + [ + 4502, + 6164 + ], + [ + 7108, + 7515 + ], + [ + 5026, + 8793 + ], + [ + 3632, + 9691 + ], + [ + 1946, + 7559 + ], + [ + 3379, + 5835 + ], + [ + 1603, + 10603 + ], + [ + 8666, + 8903 + ], + [ + 6262, + 9938 + ], + [ + 393, + 1230 + ], + [ + 1785, + 3669 + ], + [ + 9069, + 9293 + ], + [ + 7634, + 10190 + ], + [ + 5449, + 10589 + ], + [ + 8480, + 8898 + ], + [ + 7477, + 10206 + ], + [ + 9, + 1240 + ], + [ + 6636, + 8809 + ], + [ + 9430, + 9457 + ], + [ + 6914, + 7999 + ], + [ + 775, + 9818 + ], + [ + 95, + 3643 + ], + [ + 6432, + 8255 + ], + [ + 2426, + 3069 + ], + [ + 1674, + 1744 + ], + [ + 242, + 6322 + ], + [ + 6131, + 9990 + ], + [ + 3638, + 10236 + ], + [ + 3075, + 11062 + ], + [ + 4874, + 7217 + ], + [ + 4499, + 5088 + ], + [ + 1290, + 8170 + ], + [ + 7857, + 8518 + ], + [ + 857, + 6036 + ], + [ + 4801, + 8809 + ], + [ + 2491, + 7227 + ], + [ + 4545, + 8065 + ], + [ + 3041, + 4661 + ], + [ + 4582, + 10576 + ], + [ + 7319, + 11444 + ], + [ + 3119, + 10179 + ], + [ + 248, + 451 + ], + [ + 564, + 4629 + ], + [ + 5479, + 8091 + ], + [ + 5560, + 6767 + ], + [ + 2464, + 11416 + ], + [ + 3977, + 5514 + ], + [ + 4326, + 5668 + ], + [ + 6337, + 9842 + ], + [ + 5473, + 8276 + ], + [ + 6244, + 7399 + ], + [ + 4664, + 5663 + ], + [ + 1295, + 10742 + ], + [ + 173, + 7632 + ], + [ + 5406, + 9683 + ], + [ + 8051, + 10962 + ], + [ + 4433, + 6669 + ], + [ + 1604, + 8464 + ], + [ + 2628, + 6535 + ], + [ + 2416, + 8342 + ], + [ + 425, + 11236 + ], + [ + 5370, + 6993 + ], + [ + 6046, + 10016 + ], + [ + 7202, + 9704 + ], + [ + 7169, + 7312 + ], + [ + 4855, + 4857 + ], + [ + 7946, + 10387 + ], + [ + 3247, + 5237 + ], + [ + 2187, + 5257 + ], + [ + 3145, + 7212 + ], + [ + 5578, + 8046 + ], + [ + 7653, + 9761 + ], + [ + 6058, + 6993 + ], + [ + 268, + 6714 + ], + [ + 873, + 5333 + ], + [ + 6256, + 10361 + ], + [ + 3391, + 11001 + ], + [ + 3006, + 4020 + ], + [ + 2667, + 4554 + ], + [ + 4380, + 11515 + ], + [ + 6522, + 8790 + ], + [ + 4440, + 10068 + ], + [ + 1546, + 5052 + ], + [ + 6391, + 9273 + ], + [ + 7024, + 9940 + ], + [ + 78, + 9973 + ], + [ + 9130, + 10968 + ], + [ + 2856, + 10842 + ], + [ + 9286, + 11481 + ], + [ + 2034, + 3860 + ], + [ + 2851, + 4082 + ], + [ + 2885, + 2912 + ], + [ + 3874, + 10596 + ], + [ + 5701, + 5793 + ], + [ + 1633, + 6145 + ], + [ + 2844, + 6294 + ], + [ + 1727, + 9944 + ], + [ + 3898, + 5705 + ], + [ + 4328, + 10951 + ], + [ + 9123, + 10147 + ], + [ + 940, + 5400 + ], + [ + 4391, + 9021 + ], + [ + 4262, + 6167 + ], + [ + 6008, + 9858 + ], + [ + 3174, + 11309 + ], + [ + 404, + 2387 + ], + [ + 3239, + 9452 + ], + [ + 5916, + 10269 + ], + [ + 5167, + 5455 + ], + [ + 7725, + 10522 + ], + [ + 2696, + 5268 + ], + [ + 10605, + 10944 + ], + [ + 2608, + 3169 + ], + [ + 1608, + 10410 + ], + [ + 4442, + 8205 + ], + [ + 522, + 9209 + ], + [ + 9240, + 11082 + ], + [ + 3946, + 4591 + ], + [ + 6160, + 9848 + ], + [ + 5188, + 9715 + ], + [ + 1267, + 7865 + ], + [ + 6191, + 9161 + ], + [ + 272, + 9034 + ], + [ + 5444, + 7426 + ], + [ + 10659, + 11180 + ], + [ + 1460, + 10889 + ], + [ + 2479, + 4452 + ], + [ + 8456, + 10219 + ], + [ + 5804, + 11152 + ], + [ + 4310, + 9190 + ], + [ + 4186, + 10844 + ], + [ + 2500, + 7958 + ], + [ + 6088, + 7878 + ], + [ + 2100, + 4806 + ], + [ + 3555, + 10977 + ], + [ + 3185, + 5782 + ], + [ + 4329, + 10371 + ], + [ + 1122, + 7110 + ], + [ + 4091, + 10957 + ], + [ + 44, + 10688 + ], + [ + 2814, + 6778 + ], + [ + 7287, + 9895 + ], + [ + 2125, + 9185 + ], + [ + 2741, + 11403 + ], + [ + 5504, + 7076 + ], + [ + 6166, + 9639 + ], + [ + 8717, + 11283 + ], + [ + 462, + 4970 + ], + [ + 1840, + 3539 + ], + [ + 7407, + 11128 + ], + [ + 8085, + 10060 + ], + [ + 4694, + 4992 + ], + [ + 2639, + 3929 + ], + [ + 8394, + 11569 + ], + [ + 1116, + 6891 + ], + [ + 6733, + 8181 + ], + [ + 389, + 2398 + ], + [ + 5554, + 6789 + ], + [ + 1822, + 4838 + ], + [ + 4160, + 5435 + ], + [ + 2591, + 3888 + ], + [ + 10278, + 10683 + ], + [ + 2566, + 5521 + ], + [ + 1098, + 11196 + ], + [ + 850, + 11094 + ], + [ + 6020, + 9413 + ], + [ + 2372, + 7907 + ], + [ + 11501, + 11566 + ], + [ + 1690, + 5069 + ], + [ + 1248, + 4724 + ], + [ + 9157, + 10400 + ], + [ + 4802, + 11476 + ], + [ + 5862, + 11456 + ], + [ + 1595, + 8215 + ], + [ + 5015, + 6107 + ], + [ + 4958, + 9737 + ], + [ + 3583, + 11439 + ], + [ + 899, + 7953 + ], + [ + 4132, + 6019 + ], + [ + 5570, + 11055 + ], + [ + 904, + 1881 + ], + [ + 2146, + 9257 + ], + [ + 4603, + 4850 + ], + [ + 926, + 5612 + ], + [ + 2, + 3241 + ], + [ + 3890, + 9115 + ], + [ + 3950, + 9920 + ], + [ + 7281, + 8521 + ], + [ + 1992, + 2374 + ], + [ + 5820, + 8197 + ], + [ + 5531, + 8094 + ], + [ + 3293, + 8078 + ], + [ + 2985, + 3761 + ], + [ + 8704, + 9492 + ], + [ + 4041, + 6251 + ], + [ + 5493, + 8741 + ], + [ + 3657, + 9294 + ], + [ + 174, + 10299 + ], + [ + 7371, + 7633 + ], + [ + 4783, + 10271 + ], + [ + 5528, + 11179 + ], + [ + 2752, + 10356 + ], + [ + 49, + 9072 + ], + [ + 2571, + 11476 + ], + [ + 8447, + 10775 + ], + [ + 6246, + 10641 + ], + [ + 6084, + 6149 + ], + [ + 917, + 5095 + ], + [ + 1507, + 1928 + ], + [ + 2749, + 7806 + ], + [ + 3590, + 8422 + ], + [ + 4297, + 5840 + ], + [ + 7380, + 11509 + ], + [ + 3524, + 3638 + ], + [ + 6393, + 10287 + ], + [ + 6202, + 6555 + ], + [ + 6940, + 10456 + ], + [ + 2838, + 3310 + ], + [ + 2153, + 9623 + ], + [ + 3085, + 3187 + ], + [ + 435, + 5701 + ], + [ + 775, + 8021 + ], + [ + 775, + 1605 + ], + [ + 1143, + 6727 + ], + [ + 370, + 10187 + ], + [ + 124, + 6748 + ], + [ + 2473, + 7534 + ], + [ + 6619, + 8536 + ], + [ + 6092, + 9019 + ], + [ + 7587, + 8173 + ], + [ + 1728, + 6599 + ], + [ + 10198, + 10622 + ], + [ + 7046, + 11232 + ], + [ + 3254, + 5066 + ], + [ + 7698, + 8943 + ], + [ + 5673, + 6591 + ], + [ + 664, + 2713 + ], + [ + 4335, + 10804 + ], + [ + 1355, + 4516 + ], + [ + 1002, + 9124 + ], + [ + 1439, + 9879 + ], + [ + 3813, + 5969 + ], + [ + 4896, + 10282 + ], + [ + 8722, + 8862 + ], + [ + 5632, + 6940 + ], + [ + 1526, + 8720 + ], + [ + 2985, + 8217 + ], + [ + 1402, + 6964 + ], + [ + 4803, + 7058 + ], + [ + 6095, + 11545 + ], + [ + 3959, + 5390 + ], + [ + 2734, + 7817 + ], + [ + 9980, + 11459 + ], + [ + 613, + 9140 + ], + [ + 1399, + 3633 + ], + [ + 1946, + 10218 + ], + [ + 1803, + 7658 + ], + [ + 1020, + 11184 + ], + [ + 2011, + 8361 + ], + [ + 2568, + 9218 + ], + [ + 2723, + 6877 + ], + [ + 2760, + 9388 + ], + [ + 10509, + 11399 + ], + [ + 4926, + 11221 + ], + [ + 938, + 979 + ], + [ + 3969, + 6458 + ], + [ + 407, + 11142 + ], + [ + 4641, + 11237 + ], + [ + 69, + 8114 + ], + [ + 8348, + 9159 + ], + [ + 4402, + 8188 + ], + [ + 3117, + 4148 + ], + [ + 2222, + 2515 + ], + [ + 1494, + 5748 + ], + [ + 2640, + 4748 + ], + [ + 3240, + 8685 + ], + [ + 8534, + 8760 + ], + [ + 377, + 9398 + ], + [ + 5351, + 10057 + ], + [ + 1239, + 4475 + ], + [ + 6072, + 6407 + ], + [ + 2276, + 2751 + ], + [ + 3413, + 10333 + ], + [ + 9237, + 9442 + ], + [ + 519, + 5317 + ], + [ + 9116, + 11367 + ], + [ + 10668, + 11055 + ], + [ + 1797, + 6688 + ], + [ + 3815, + 7869 + ], + [ + 5372, + 7901 + ], + [ + 6098, + 8759 + ], + [ + 3516, + 10431 + ], + [ + 648, + 11554 + ], + [ + 271, + 10850 + ], + [ + 1634, + 8387 + ], + [ + 7805, + 10987 + ], + [ + 3164, + 9979 + ], + [ + 454, + 7524 + ], + [ + 2537, + 6848 + ], + [ + 3629, + 11247 + ], + [ + 5012, + 9436 + ], + [ + 4154, + 11068 + ], + [ + 3175, + 9764 + ], + [ + 5389, + 8605 + ], + [ + 1407, + 8731 + ], + [ + 1426, + 6529 + ], + [ + 440, + 3280 + ], + [ + 5608, + 7188 + ], + [ + 1243, + 7576 + ], + [ + 6693, + 8164 + ], + [ + 862, + 7884 + ], + [ + 2739, + 3168 + ], + [ + 4886, + 7203 + ], + [ + 3518, + 7070 + ], + [ + 6064, + 10622 + ], + [ + 4913, + 9026 + ], + [ + 9553, + 10563 + ], + [ + 2115, + 4472 + ], + [ + 5943, + 6131 + ], + [ + 5382, + 7784 + ], + [ + 2083, + 11350 + ], + [ + 894, + 9270 + ], + [ + 2699, + 7152 + ], + [ + 271, + 10045 + ], + [ + 5028, + 6505 + ], + [ + 1827, + 10606 + ], + [ + 6987, + 10489 + ], + [ + 2376, + 7438 + ], + [ + 6059, + 10628 + ], + [ + 5839, + 6158 + ], + [ + 3433, + 6366 + ], + [ + 1346, + 7300 + ], + [ + 2127, + 7865 + ], + [ + 1435, + 6591 + ], + [ + 1660, + 2737 + ], + [ + 6582, + 9622 + ], + [ + 10990, + 11590 + ], + [ + 904, + 10338 + ], + [ + 3046, + 6859 + ], + [ + 2550, + 9661 + ], + [ + 7966, + 10665 + ], + [ + 3613, + 6152 + ], + [ + 8752, + 11574 + ], + [ + 526, + 10163 + ], + [ + 4084, + 7989 + ], + [ + 3150, + 4930 + ], + [ + 2805, + 7147 + ], + [ + 5005, + 7810 + ], + [ + 2352, + 5889 + ], + [ + 7248, + 11553 + ], + [ + 6555, + 7425 + ], + [ + 2910, + 3938 + ], + [ + 239, + 4821 + ], + [ + 612, + 9533 + ], + [ + 3198, + 3816 + ], + [ + 9385, + 11113 + ], + [ + 6238, + 8657 + ], + [ + 2356, + 10145 + ], + [ + 7120, + 9274 + ], + [ + 8161, + 10732 + ], + [ + 5091, + 9432 + ], + [ + 4649, + 6835 + ], + [ + 768, + 7013 + ], + [ + 4824, + 5146 + ], + [ + 510, + 2059 + ], + [ + 3056, + 3359 + ], + [ + 292, + 4051 + ], + [ + 440, + 4703 + ], + [ + 10209, + 10220 + ], + [ + 121, + 1725 + ], + [ + 3985, + 7205 + ], + [ + 7596, + 11081 + ], + [ + 5480, + 7113 + ], + [ + 1959, + 7634 + ], + [ + 119, + 2029 + ], + [ + 1676, + 2815 + ], + [ + 678, + 3713 + ], + [ + 3751, + 4530 + ], + [ + 1770, + 8112 + ], + [ + 2740, + 11582 + ], + [ + 329, + 9194 + ], + [ + 769, + 9466 + ], + [ + 5213, + 11091 + ], + [ + 3680, + 9201 + ], + [ + 9880, + 10287 + ], + [ + 8166, + 10271 + ], + [ + 1194, + 4919 + ], + [ + 2123, + 5382 + ], + [ + 2338, + 3092 + ], + [ + 7439, + 9942 + ], + [ + 598, + 1101 + ], + [ + 5389, + 9223 + ], + [ + 3594, + 9777 + ], + [ + 6448, + 11230 + ], + [ + 6694, + 8253 + ], + [ + 9052, + 10256 + ], + [ + 4475, + 6035 + ], + [ + 4008, + 7323 + ], + [ + 1642, + 8842 + ], + [ + 5685, + 5959 + ], + [ + 807, + 5762 + ], + [ + 521, + 5176 + ], + [ + 2446, + 10330 + ], + [ + 2568, + 4843 + ], + [ + 5374, + 7760 + ], + [ + 3256, + 9381 + ], + [ + 7760, + 11057 + ], + [ + 6209, + 7807 + ], + [ + 2221, + 4735 + ], + [ + 2133, + 2636 + ], + [ + 2465, + 11511 + ], + [ + 7074, + 7319 + ], + [ + 6117, + 8972 + ], + [ + 381, + 5546 + ], + [ + 71, + 402 + ], + [ + 1868, + 10474 + ], + [ + 1322, + 6743 + ], + [ + 5515, + 6837 + ], + [ + 7036, + 7966 + ], + [ + 563, + 10663 + ], + [ + 7350, + 9065 + ], + [ + 8907, + 9851 + ], + [ + 2625, + 9110 + ], + [ + 2307, + 4105 + ], + [ + 1403, + 4638 + ], + [ + 5902, + 6724 + ], + [ + 5812, + 10214 + ], + [ + 3580, + 7761 + ], + [ + 2422, + 8000 + ], + [ + 2864, + 8345 + ], + [ + 3695, + 8273 + ], + [ + 10298, + 11284 + ], + [ + 2760, + 7241 + ], + [ + 6060, + 7283 + ], + [ + 6996, + 8917 + ], + [ + 4633, + 9953 + ], + [ + 493, + 8739 + ], + [ + 7771, + 11165 + ], + [ + 462, + 7174 + ], + [ + 7425, + 10528 + ], + [ + 3574, + 7165 + ], + [ + 9109, + 10335 + ], + [ + 298, + 6019 + ], + [ + 1877, + 9782 + ], + [ + 1041, + 3094 + ], + [ + 264, + 9818 + ], + [ + 1728, + 10413 + ], + [ + 2124, + 3997 + ], + [ + 262, + 3329 + ], + [ + 1201, + 10896 + ], + [ + 9527, + 11033 + ], + [ + 3842, + 4886 + ], + [ + 3124, + 8807 + ], + [ + 1087, + 9104 + ], + [ + 6661, + 7284 + ], + [ + 785, + 7985 + ], + [ + 6510, + 11252 + ], + [ + 5161, + 11169 + ], + [ + 2585, + 11158 + ], + [ + 4414, + 10188 + ], + [ + 1064, + 4367 + ], + [ + 6502, + 9856 + ], + [ + 4909, + 7915 + ], + [ + 4282, + 11200 + ], + [ + 4323, + 11201 + ], + [ + 1861, + 2432 + ], + [ + 6090, + 8599 + ], + [ + 4758, + 11129 + ], + [ + 1991, + 8140 + ], + [ + 1478, + 1913 + ], + [ + 424, + 10049 + ], + [ + 1270, + 11009 + ], + [ + 200, + 10341 + ], + [ + 1143, + 3320 + ], + [ + 8637, + 10474 + ], + [ + 8575, + 8842 + ], + [ + 3403, + 10450 + ], + [ + 7293, + 10735 + ], + [ + 3002, + 9352 + ], + [ + 4956, + 6576 + ], + [ + 4173, + 10102 + ], + [ + 7970, + 10196 + ], + [ + 1996, + 10362 + ], + [ + 64, + 8201 + ], + [ + 2304, + 8263 + ], + [ + 4604, + 6124 + ], + [ + 5395, + 7377 + ], + [ + 278, + 5686 + ], + [ + 8070, + 10777 + ], + [ + 8686, + 8831 + ], + [ + 200, + 10691 + ], + [ + 4827, + 7859 + ], + [ + 2903, + 6313 + ], + [ + 813, + 2812 + ], + [ + 3046, + 5867 + ], + [ + 5291, + 6273 + ], + [ + 4334, + 7926 + ], + [ + 717, + 6487 + ], + [ + 1025, + 4388 + ], + [ + 1625, + 8325 + ], + [ + 1300, + 6313 + ], + [ + 6002, + 8728 + ], + [ + 1437, + 9028 + ], + [ + 1394, + 5948 + ], + [ + 3071, + 11000 + ], + [ + 6247, + 7778 + ], + [ + 4509, + 9620 + ], + [ + 483, + 9474 + ], + [ + 3907, + 4856 + ], + [ + 522, + 8648 + ], + [ + 1580, + 5549 + ], + [ + 1758, + 9793 + ], + [ + 6713, + 10402 + ], + [ + 1176, + 10569 + ], + [ + 4898, + 5416 + ], + [ + 1876, + 5318 + ], + [ + 2075, + 8911 + ], + [ + 5308, + 6977 + ], + [ + 7106, + 10104 + ], + [ + 881, + 6487 + ], + [ + 2006, + 11026 + ], + [ + 4717, + 9919 + ], + [ + 2088, + 2730 + ], + [ + 6291, + 7676 + ], + [ + 697, + 7309 + ], + [ + 700, + 10990 + ], + [ + 46, + 6036 + ], + [ + 7329, + 8806 + ], + [ + 2907, + 8660 + ], + [ + 1376, + 7597 + ], + [ + 4737, + 8292 + ], + [ + 5533, + 11417 + ], + [ + 6004, + 11002 + ], + [ + 1424, + 3100 + ], + [ + 3072, + 9666 + ], + [ + 9426, + 9721 + ], + [ + 1310, + 6196 + ], + [ + 54, + 2894 + ], + [ + 7371, + 10910 + ], + [ + 6282, + 10192 + ], + [ + 1865, + 3974 + ], + [ + 7033, + 7882 + ], + [ + 2576, + 9435 + ], + [ + 4790, + 7522 + ], + [ + 511, + 7684 + ], + [ + 5116, + 6002 + ], + [ + 2186, + 5493 + ], + [ + 909, + 7730 + ], + [ + 472, + 559 + ], + [ + 6349, + 7630 + ], + [ + 437, + 1504 + ], + [ + 5268, + 6773 + ], + [ + 1350, + 2188 + ], + [ + 3364, + 5879 + ], + [ + 1898, + 5211 + ], + [ + 4633, + 9416 + ], + [ + 6795, + 8067 + ], + [ + 2231, + 4862 + ], + [ + 2112, + 3450 + ], + [ + 2922, + 8917 + ], + [ + 4231, + 8847 + ], + [ + 813, + 11001 + ], + [ + 5529, + 6706 + ], + [ + 830, + 1556 + ], + [ + 8522, + 9449 + ], + [ + 4411, + 4469 + ], + [ + 1973, + 6674 + ], + [ + 985, + 9014 + ], + [ + 3633, + 4175 + ], + [ + 4844, + 9986 + ], + [ + 4410, + 7250 + ], + [ + 2075, + 10334 + ], + [ + 7519, + 7724 + ], + [ + 2132, + 4452 + ], + [ + 9356, + 10025 + ], + [ + 7112, + 9063 + ], + [ + 2496, + 5668 + ], + [ + 856, + 3127 + ], + [ + 2900, + 9693 + ], + [ + 5735, + 11096 + ], + [ + 1478, + 9297 + ], + [ + 8746, + 11035 + ], + [ + 1507, + 7783 + ], + [ + 447, + 8557 + ], + [ + 2212, + 9292 + ], + [ + 8466, + 11395 + ], + [ + 5599, + 11208 + ], + [ + 1153, + 6504 + ], + [ + 9305, + 9686 + ], + [ + 6996, + 7575 + ], + [ + 6259, + 7282 + ], + [ + 1398, + 9718 + ], + [ + 3301, + 4725 + ], + [ + 1143, + 9199 + ], + [ + 5064, + 11049 + ], + [ + 4386, + 5701 + ], + [ + 1528, + 2594 + ], + [ + 298, + 4677 + ], + [ + 272, + 5708 + ], + [ + 8993, + 11262 + ], + [ + 2171, + 9641 + ], + [ + 6901, + 7688 + ], + [ + 3814, + 8693 + ], + [ + 8022, + 10573 + ], + [ + 1613, + 2143 + ], + [ + 2731, + 7763 + ], + [ + 6404, + 10265 + ], + [ + 4845, + 7154 + ], + [ + 146, + 4256 + ], + [ + 4031, + 10613 + ], + [ + 710, + 6284 + ], + [ + 459, + 2501 + ], + [ + 268, + 2933 + ], + [ + 3561, + 7466 + ], + [ + 2257, + 5628 + ], + [ + 2563, + 9118 + ], + [ + 2498, + 8723 + ], + [ + 5374, + 5963 + ], + [ + 5797, + 7786 + ], + [ + 5210, + 11224 + ], + [ + 5267, + 5342 + ], + [ + 5679, + 9982 + ], + [ + 194, + 10339 + ], + [ + 3621, + 5238 + ], + [ + 7509, + 11112 + ], + [ + 6286, + 7950 + ], + [ + 1282, + 4416 + ], + [ + 1562, + 6685 + ], + [ + 2969, + 3740 + ], + [ + 254, + 941 + ], + [ + 3994, + 11081 + ], + [ + 8562, + 11052 + ], + [ + 5692, + 6430 + ], + [ + 2149, + 7384 + ], + [ + 1233, + 11320 + ], + [ + 3732, + 6358 + ], + [ + 10235, + 11417 + ], + [ + 5963, + 8586 + ], + [ + 1362, + 6223 + ], + [ + 1386, + 4365 + ], + [ + 1195, + 4797 + ], + [ + 4503, + 8864 + ], + [ + 2261, + 2313 + ], + [ + 3811, + 7590 + ], + [ + 5986, + 6503 + ], + [ + 982, + 10139 + ], + [ + 6708, + 9871 + ], + [ + 5643, + 9547 + ], + [ + 75, + 11155 + ], + [ + 1290, + 1624 + ], + [ + 6589, + 8459 + ], + [ + 5992, + 10455 + ], + [ + 7702, + 11483 + ], + [ + 665, + 5736 + ], + [ + 200, + 9349 + ], + [ + 2874, + 9895 + ], + [ + 8013, + 8901 + ], + [ + 3405, + 10285 + ], + [ + 8221, + 9604 + ], + [ + 913, + 8467 + ], + [ + 9040, + 9872 + ], + [ + 8061, + 8568 + ], + [ + 3028, + 6548 + ], + [ + 9714, + 11314 + ], + [ + 2085, + 5655 + ], + [ + 3914, + 3931 + ], + [ + 2489, + 6270 + ], + [ + 5357, + 10065 + ], + [ + 3230, + 7436 + ], + [ + 2121, + 10947 + ], + [ + 3669, + 7483 + ], + [ + 5747, + 6463 + ], + [ + 3983, + 9336 + ], + [ + 456, + 10069 + ], + [ + 5251, + 9265 + ], + [ + 4535, + 9849 + ], + [ + 6964, + 9810 + ], + [ + 9364, + 11285 + ], + [ + 44, + 5402 + ], + [ + 569, + 1086 + ], + [ + 1850, + 8390 + ], + [ + 2884, + 7149 + ], + [ + 8104, + 10493 + ], + [ + 4370, + 8469 + ], + [ + 3912, + 7591 + ], + [ + 6393, + 9994 + ], + [ + 1071, + 5619 + ], + [ + 6884, + 10231 + ], + [ + 5573, + 7222 + ], + [ + 4339, + 6123 + ], + [ + 1120, + 5511 + ], + [ + 7175, + 10380 + ], + [ + 2607, + 4023 + ], + [ + 2424, + 10732 + ], + [ + 1304, + 11455 + ], + [ + 1808, + 2098 + ], + [ + 4912, + 8644 + ], + [ + 1904, + 2560 + ], + [ + 7967, + 8101 + ], + [ + 5823, + 7747 + ], + [ + 4331, + 8864 + ], + [ + 8966, + 9303 + ], + [ + 4257, + 9881 + ], + [ + 893, + 2472 + ], + [ + 953, + 6687 + ], + [ + 7747, + 9266 + ], + [ + 2202, + 3156 + ], + [ + 7492, + 7993 + ], + [ + 1950, + 7816 + ], + [ + 6564, + 8132 + ], + [ + 5633, + 11006 + ], + [ + 6275, + 8029 + ], + [ + 867, + 11050 + ], + [ + 5590, + 7926 + ], + [ + 9891, + 9997 + ], + [ + 5218, + 6068 + ], + [ + 6589, + 9882 + ], + [ + 667, + 10238 + ], + [ + 894, + 2293 + ], + [ + 3261, + 8546 + ], + [ + 6150, + 6802 + ], + [ + 2654, + 2684 + ], + [ + 76, + 348 + ], + [ + 3291, + 9886 + ], + [ + 3129, + 9558 + ], + [ + 1634, + 3988 + ], + [ + 2790, + 5928 + ], + [ + 629, + 4469 + ], + [ + 4302, + 6217 + ], + [ + 6203, + 6813 + ], + [ + 2438, + 11138 + ], + [ + 4140, + 8141 + ], + [ + 6980, + 9888 + ], + [ + 10149, + 10413 + ], + [ + 2471, + 10497 + ], + [ + 1814, + 6026 + ], + [ + 742, + 4531 + ], + [ + 9716, + 10531 + ], + [ + 2400, + 5369 + ], + [ + 7837, + 8004 + ], + [ + 1643, + 3700 + ], + [ + 5357, + 8455 + ], + [ + 1405, + 4286 + ], + [ + 4880, + 8301 + ], + [ + 7120, + 8363 + ], + [ + 6996, + 10771 + ], + [ + 3546, + 10004 + ], + [ + 6132, + 8451 + ], + [ + 2357, + 5672 + ], + [ + 3694, + 4240 + ], + [ + 3100, + 9917 + ], + [ + 2508, + 5841 + ], + [ + 6933, + 9668 + ], + [ + 4937, + 5802 + ], + [ + 890, + 7785 + ], + [ + 2294, + 4569 + ], + [ + 711, + 9732 + ], + [ + 5377, + 6074 + ], + [ + 2008, + 11153 + ], + [ + 2010, + 5564 + ], + [ + 4778, + 7243 + ], + [ + 5022, + 7603 + ], + [ + 550, + 1678 + ], + [ + 7234, + 9781 + ], + [ + 1819, + 5215 + ], + [ + 4124, + 9836 + ], + [ + 5870, + 6357 + ], + [ + 1694, + 9650 + ], + [ + 1625, + 7601 + ], + [ + 1713, + 7448 + ], + [ + 8939, + 9684 + ], + [ + 2817, + 6946 + ], + [ + 3151, + 6068 + ], + [ + 4429, + 7439 + ], + [ + 5831, + 10566 + ], + [ + 5101, + 6556 + ], + [ + 3081, + 4548 + ], + [ + 7962, + 9180 + ], + [ + 312, + 11312 + ], + [ + 7504, + 7548 + ], + [ + 6287, + 7584 + ], + [ + 6471, + 10145 + ], + [ + 9177, + 9448 + ], + [ + 7160, + 11121 + ], + [ + 390, + 3274 + ], + [ + 2014, + 4528 + ], + [ + 2490, + 10873 + ], + [ + 7115, + 7214 + ], + [ + 3417, + 11263 + ], + [ + 3761, + 4657 + ], + [ + 6749, + 8554 + ], + [ + 4636, + 10519 + ], + [ + 1424, + 6914 + ], + [ + 4712, + 8851 + ], + [ + 2442, + 6668 + ], + [ + 3688, + 8501 + ], + [ + 1694, + 5462 + ], + [ + 5465, + 10751 + ], + [ + 756, + 7165 + ], + [ + 3624, + 4544 + ], + [ + 2217, + 10872 + ], + [ + 8158, + 8314 + ], + [ + 3459, + 9580 + ], + [ + 3794, + 5894 + ], + [ + 962, + 11555 + ], + [ + 5881, + 6091 + ], + [ + 4630, + 9549 + ], + [ + 524, + 11329 + ], + [ + 8898, + 9228 + ], + [ + 4657, + 4956 + ], + [ + 4130, + 8445 + ], + [ + 1076, + 5426 + ], + [ + 2084, + 5216 + ], + [ + 5590, + 8544 + ], + [ + 603, + 6899 + ], + [ + 7266, + 9961 + ], + [ + 3773, + 3862 + ], + [ + 4565, + 7969 + ], + [ + 3804, + 8810 + ], + [ + 3191, + 10273 + ], + [ + 9626, + 11256 + ], + [ + 3527, + 3806 + ], + [ + 5204, + 11110 + ], + [ + 6515, + 8457 + ], + [ + 130, + 6837 + ], + [ + 1897, + 8399 + ], + [ + 3120, + 5145 + ], + [ + 8285, + 9536 + ], + [ + 7378, + 10552 + ], + [ + 991, + 5853 + ], + [ + 6942, + 11153 + ], + [ + 187, + 4338 + ], + [ + 1651, + 8343 + ], + [ + 4440, + 9401 + ], + [ + 3703, + 8354 + ], + [ + 747, + 8876 + ], + [ + 9519, + 10985 + ], + [ + 3380, + 6388 + ], + [ + 4099, + 6075 + ], + [ + 2755, + 6336 + ], + [ + 370, + 3641 + ], + [ + 2326, + 10360 + ], + [ + 7584, + 10778 + ], + [ + 821, + 4102 + ], + [ + 5440, + 11178 + ], + [ + 8857, + 11051 + ], + [ + 1383, + 3051 + ], + [ + 675, + 1244 + ], + [ + 3906, + 9063 + ], + [ + 695, + 8312 + ], + [ + 2751, + 5813 + ], + [ + 3496, + 10885 + ], + [ + 5674, + 10069 + ], + [ + 1324, + 11489 + ], + [ + 2780, + 5053 + ], + [ + 5366, + 5752 + ], + [ + 1530, + 9113 + ], + [ + 752, + 1649 + ], + [ + 9246, + 10984 + ], + [ + 3685, + 10757 + ], + [ + 223, + 6223 + ], + [ + 4300, + 8586 + ], + [ + 8997, + 11411 + ], + [ + 459, + 1777 + ], + [ + 6313, + 6390 + ], + [ + 3290, + 5690 + ], + [ + 6180, + 6800 + ], + [ + 6494, + 8653 + ], + [ + 4369, + 6851 + ], + [ + 3878, + 9243 + ], + [ + 229, + 5637 + ], + [ + 2357, + 2452 + ], + [ + 514, + 8250 + ], + [ + 6773, + 11451 + ], + [ + 1663, + 10931 + ], + [ + 7351, + 10933 + ], + [ + 640, + 7800 + ], + [ + 4810, + 6944 + ], + [ + 4488, + 10865 + ], + [ + 3672, + 4829 + ], + [ + 2596, + 11486 + ], + [ + 6538, + 7797 + ], + [ + 4984, + 11446 + ], + [ + 7596, + 10333 + ], + [ + 3988, + 6728 + ], + [ + 3045, + 5835 + ], + [ + 2893, + 7693 + ], + [ + 1181, + 10756 + ], + [ + 1952, + 9879 + ], + [ + 4441, + 10645 + ], + [ + 1770, + 7364 + ], + [ + 1828, + 11506 + ], + [ + 7769, + 8948 + ], + [ + 2798, + 7806 + ], + [ + 8266, + 9754 + ], + [ + 2356, + 5209 + ], + [ + 2442, + 6481 + ], + [ + 2414, + 4433 + ], + [ + 953, + 8273 + ], + [ + 4062, + 4583 + ], + [ + 10075, + 10761 + ], + [ + 455, + 10248 + ], + [ + 10278, + 10366 + ], + [ + 260, + 7528 + ], + [ + 1910, + 3587 + ], + [ + 1029, + 5824 + ], + [ + 6507, + 8460 + ], + [ + 61, + 9570 + ], + [ + 405, + 2964 + ], + [ + 2361, + 7431 + ], + [ + 5260, + 6375 + ], + [ + 6970, + 9655 + ], + [ + 2030, + 7826 + ], + [ + 776, + 5351 + ], + [ + 2309, + 7241 + ], + [ + 27, + 537 + ], + [ + 4548, + 7078 + ], + [ + 2425, + 8355 + ], + [ + 5097, + 8074 + ], + [ + 7029, + 7983 + ], + [ + 3518, + 6940 + ], + [ + 3502, + 8689 + ], + [ + 1024, + 9213 + ], + [ + 6068, + 11365 + ], + [ + 1579, + 9997 + ], + [ + 5068, + 9938 + ], + [ + 6026, + 11139 + ], + [ + 4588, + 6103 + ], + [ + 1239, + 10306 + ], + [ + 2010, + 10183 + ], + [ + 1294, + 10013 + ], + [ + 1265, + 5111 + ], + [ + 6987, + 10359 + ], + [ + 1820, + 9305 + ], + [ + 7520, + 10822 + ], + [ + 5679, + 11031 + ], + [ + 2348, + 9424 + ], + [ + 1350, + 4660 + ], + [ + 3278, + 9331 + ], + [ + 2218, + 9351 + ], + [ + 8634, + 10284 + ], + [ + 6604, + 7588 + ], + [ + 5761, + 6145 + ], + [ + 6488, + 9857 + ], + [ + 11087, + 11393 + ], + [ + 476, + 7287 + ], + [ + 1004, + 7406 + ], + [ + 7879, + 7907 + ], + [ + 2148, + 5579 + ], + [ + 1907, + 2484 + ], + [ + 1561, + 1847 + ], + [ + 3391, + 10147 + ], + [ + 9029, + 10032 + ], + [ + 5719, + 10056 + ], + [ + 6873, + 8917 + ], + [ + 3490, + 7120 + ], + [ + 4858, + 5001 + ], + [ + 240, + 779 + ], + [ + 1204, + 10096 + ], + [ + 2642, + 8716 + ], + [ + 2549, + 6273 + ], + [ + 703, + 6138 + ], + [ + 3349, + 6888 + ], + [ + 2055, + 5738 + ], + [ + 6337, + 8533 + ], + [ + 1486, + 5995 + ], + [ + 1114, + 10553 + ], + [ + 6324, + 7547 + ], + [ + 6766, + 8646 + ], + [ + 6122, + 10796 + ], + [ + 4429, + 10903 + ], + [ + 17, + 11445 + ], + [ + 8170, + 11065 + ], + [ + 5013, + 7167 + ], + [ + 8634, + 9479 + ], + [ + 1748, + 10317 + ], + [ + 7202, + 8395 + ], + [ + 7141, + 10371 + ], + [ + 2298, + 7751 + ], + [ + 3087, + 5925 + ], + [ + 2077, + 6062 + ], + [ + 784, + 7766 + ], + [ + 5600, + 7085 + ], + [ + 6407, + 6619 + ], + [ + 6255, + 9231 + ], + [ + 7559, + 11069 + ], + [ + 5343, + 9903 + ], + [ + 6833, + 8713 + ], + [ + 5506, + 11587 + ], + [ + 17, + 3874 + ], + [ + 2702, + 8716 + ], + [ + 5408, + 7265 + ], + [ + 6991, + 9272 + ], + [ + 1227, + 3798 + ], + [ + 265, + 5107 + ], + [ + 2388, + 3830 + ], + [ + 800, + 2233 + ], + [ + 3260, + 3759 + ], + [ + 517, + 5328 + ], + [ + 1943, + 6597 + ], + [ + 3775, + 11560 + ], + [ + 8544, + 8781 + ], + [ + 794, + 7299 + ], + [ + 10462, + 10512 + ], + [ + 3867, + 8116 + ], + [ + 5522, + 8683 + ], + [ + 8720, + 10700 + ], + [ + 2488, + 2906 + ], + [ + 1469, + 10097 + ], + [ + 1125, + 10287 + ], + [ + 2742, + 4708 + ], + [ + 6919, + 10685 + ], + [ + 5166, + 6577 + ], + [ + 9992, + 11502 + ], + [ + 4538, + 7008 + ], + [ + 1590, + 11555 + ], + [ + 1798, + 5842 + ], + [ + 4661, + 5129 + ], + [ + 3332, + 11340 + ], + [ + 7501, + 11040 + ], + [ + 5099, + 8738 + ], + [ + 2050, + 6063 + ], + [ + 4161, + 8189 + ], + [ + 207, + 9609 + ], + [ + 5884, + 9422 + ], + [ + 520, + 5575 + ], + [ + 5771, + 10484 + ], + [ + 8758, + 10029 + ], + [ + 8388, + 10496 + ], + [ + 6235, + 8898 + ], + [ + 4179, + 4981 + ], + [ + 7950, + 10270 + ], + [ + 6671, + 9428 + ], + [ + 5081, + 7004 + ], + [ + 3682, + 8312 + ], + [ + 4776, + 6368 + ], + [ + 5920, + 10957 + ], + [ + 6445, + 7395 + ], + [ + 1899, + 5493 + ], + [ + 2406, + 6987 + ], + [ + 8092, + 9572 + ], + [ + 1157, + 7485 + ], + [ + 1188, + 7552 + ], + [ + 10830, + 11042 + ], + [ + 4759, + 4859 + ], + [ + 4136, + 5634 + ], + [ + 3045, + 4843 + ], + [ + 892, + 9661 + ], + [ + 3078, + 5700 + ], + [ + 6469, + 11522 + ], + [ + 7985, + 11553 + ], + [ + 8329, + 9111 + ], + [ + 4567, + 11455 + ], + [ + 1200, + 10945 + ], + [ + 855, + 6746 + ], + [ + 8076, + 8638 + ], + [ + 1355, + 4817 + ], + [ + 358, + 9323 + ], + [ + 6788, + 9962 + ], + [ + 5076, + 5855 + ], + [ + 851, + 6223 + ], + [ + 5732, + 10855 + ], + [ + 10742, + 11171 + ], + [ + 4512, + 7210 + ], + [ + 4102, + 9032 + ], + [ + 6875, + 9557 + ], + [ + 247, + 10431 + ], + [ + 10744, + 11217 + ], + [ + 1403, + 10119 + ], + [ + 968, + 4529 + ], + [ + 1061, + 6972 + ], + [ + 956, + 3014 + ], + [ + 1308, + 11013 + ], + [ + 927, + 7157 + ], + [ + 5975, + 10963 + ], + [ + 76, + 2820 + ], + [ + 1447, + 6634 + ], + [ + 1163, + 6875 + ], + [ + 3100, + 7128 + ], + [ + 3630, + 3910 + ], + [ + 2907, + 8985 + ], + [ + 5457, + 7775 + ], + [ + 70, + 5257 + ], + [ + 3655, + 11322 + ], + [ + 389, + 6700 + ], + [ + 2970, + 4803 + ], + [ + 4520, + 10080 + ], + [ + 7830, + 10810 + ], + [ + 6075, + 10039 + ], + [ + 598, + 1589 + ], + [ + 563, + 5540 + ], + [ + 2586, + 11229 + ], + [ + 4055, + 4998 + ], + [ + 1154, + 9391 + ], + [ + 2114, + 5003 + ], + [ + 4025, + 6287 + ], + [ + 345, + 1116 + ], + [ + 4078, + 10085 + ], + [ + 2182, + 3417 + ], + [ + 2982, + 4032 + ], + [ + 4286, + 10788 + ], + [ + 7310, + 7926 + ], + [ + 5030, + 11471 + ], + [ + 4138, + 7103 + ], + [ + 769, + 5766 + ], + [ + 1726, + 1861 + ], + [ + 113, + 4149 + ], + [ + 5596, + 7129 + ], + [ + 1451, + 9735 + ], + [ + 5718, + 5806 + ], + [ + 363, + 7707 + ], + [ + 361, + 11044 + ], + [ + 4932, + 10532 + ], + [ + 10283, + 11141 + ], + [ + 7024, + 8444 + ], + [ + 1759, + 11019 + ], + [ + 1004, + 5259 + ], + [ + 7736, + 10370 + ], + [ + 11158, + 11341 + ], + [ + 692, + 9868 + ], + [ + 8850, + 9832 + ], + [ + 1785, + 2791 + ], + [ + 216, + 490 + ], + [ + 5542, + 5738 + ], + [ + 4138, + 5948 + ], + [ + 1894, + 9150 + ], + [ + 815, + 9120 + ], + [ + 283, + 11511 + ], + [ + 1159, + 2514 + ], + [ + 896, + 3632 + ], + [ + 3545, + 8817 + ], + [ + 8464, + 9015 + ], + [ + 2177, + 2268 + ], + [ + 6414, + 9050 + ], + [ + 611, + 4402 + ], + [ + 8587, + 11300 + ], + [ + 2931, + 10055 + ], + [ + 7117, + 7480 + ], + [ + 4126, + 11199 + ], + [ + 210, + 7441 + ], + [ + 3006, + 4752 + ], + [ + 2923, + 9413 + ], + [ + 8492, + 11413 + ], + [ + 8430, + 10535 + ], + [ + 1784, + 4444 + ], + [ + 9201, + 10412 + ], + [ + 8115, + 9211 + ], + [ + 735, + 8760 + ], + [ + 6521, + 9297 + ], + [ + 3025, + 5933 + ], + [ + 6610, + 8588 + ], + [ + 10968, + 11193 + ], + [ + 6926, + 10514 + ], + [ + 1221, + 2237 + ], + [ + 5835, + 9723 + ], + [ + 477, + 4937 + ], + [ + 3868, + 10759 + ], + [ + 5826, + 7725 + ], + [ + 5082, + 10425 + ], + [ + 1837, + 10844 + ], + [ + 4741, + 7880 + ], + [ + 4338, + 5955 + ], + [ + 6764, + 9405 + ], + [ + 3056, + 7848 + ], + [ + 418, + 6959 + ], + [ + 1621, + 6493 + ], + [ + 6514, + 8476 + ], + [ + 4551, + 7002 + ], + [ + 399, + 8437 + ], + [ + 1959, + 8740 + ], + [ + 6005, + 9538 + ], + [ + 1184, + 3459 + ], + [ + 117, + 8724 + ], + [ + 3254, + 4830 + ], + [ + 2114, + 6776 + ], + [ + 9858, + 10695 + ], + [ + 4533, + 9055 + ], + [ + 2167, + 6410 + ], + [ + 4510, + 7351 + ], + [ + 76, + 9854 + ], + [ + 5810, + 10201 + ], + [ + 9201, + 9607 + ], + [ + 5345, + 8152 + ], + [ + 5185, + 10149 + ], + [ + 5152, + 7757 + ], + [ + 1511, + 8176 + ], + [ + 444, + 11189 + ], + [ + 2970, + 5421 + ], + [ + 3532, + 6622 + ], + [ + 5823, + 6649 + ], + [ + 8197, + 9909 + ], + [ + 811, + 3254 + ], + [ + 1600, + 10096 + ], + [ + 2741, + 8752 + ], + [ + 2744, + 8269 + ], + [ + 7635, + 11337 + ], + [ + 125, + 5932 + ], + [ + 316, + 2494 + ], + [ + 8255, + 10264 + ], + [ + 5165, + 8342 + ], + [ + 9430, + 10002 + ], + [ + 521, + 9315 + ], + [ + 6848, + 10176 + ], + [ + 7429, + 9929 + ], + [ + 6216, + 6701 + ], + [ + 490, + 4717 + ], + [ + 2510, + 2561 + ], + [ + 335, + 642 + ], + [ + 2301, + 8049 + ], + [ + 8402, + 9910 + ], + [ + 8832, + 9494 + ], + [ + 7865, + 10459 + ], + [ + 3355, + 7460 + ], + [ + 6488, + 8328 + ], + [ + 1049, + 9784 + ], + [ + 10226, + 11225 + ], + [ + 4340, + 4822 + ], + [ + 3932, + 9723 + ], + [ + 4661, + 10098 + ], + [ + 2720, + 3687 + ], + [ + 1882, + 3342 + ], + [ + 6266, + 6414 + ], + [ + 7977, + 11050 + ], + [ + 1494, + 8895 + ], + [ + 8042, + 11445 + ], + [ + 9090, + 9910 + ], + [ + 7780, + 9755 + ], + [ + 538, + 570 + ], + [ + 4354, + 11294 + ], + [ + 8303, + 9530 + ], + [ + 4941, + 8610 + ], + [ + 3929, + 6392 + ], + [ + 7597, + 7796 + ], + [ + 8631, + 8807 + ], + [ + 551, + 805 + ], + [ + 10268, + 10296 + ], + [ + 3236, + 4893 + ], + [ + 963, + 9609 + ], + [ + 5603, + 11146 + ], + [ + 1618, + 11001 + ], + [ + 7867, + 8596 + ], + [ + 7994, + 8371 + ], + [ + 1433, + 4805 + ], + [ + 2830, + 7588 + ], + [ + 2486, + 7778 + ], + [ + 5715, + 8354 + ], + [ + 3044, + 5073 + ], + [ + 1007, + 1206 + ], + [ + 6151, + 11136 + ], + [ + 3195, + 5242 + ], + [ + 548, + 10683 + ], + [ + 5018, + 10119 + ], + [ + 3455, + 9518 + ], + [ + 72, + 7721 + ], + [ + 1438, + 11191 + ], + [ + 3217, + 10104 + ], + [ + 2059, + 9589 + ], + [ + 624, + 8234 + ], + [ + 3239, + 7419 + ], + [ + 4868, + 9771 + ], + [ + 1585, + 7454 + ], + [ + 1373, + 3599 + ], + [ + 2149, + 3066 + ], + [ + 753, + 8055 + ], + [ + 429, + 4733 + ], + [ + 401, + 9101 + ], + [ + 1619, + 10421 + ], + [ + 5961, + 7605 + ], + [ + 670, + 11211 + ], + [ + 2941, + 4170 + ], + [ + 1636, + 10775 + ], + [ + 1605, + 9210 + ], + [ + 3157, + 4734 + ], + [ + 6092, + 9751 + ], + [ + 5278, + 6794 + ], + [ + 1534, + 10498 + ], + [ + 4001, + 9031 + ], + [ + 267, + 591 + ], + [ + 4064, + 11265 + ], + [ + 2445, + 3185 + ], + [ + 7952, + 10723 + ], + [ + 784, + 2049 + ], + [ + 3244, + 4329 + ], + [ + 3467, + 10228 + ], + [ + 5800, + 6317 + ], + [ + 1412, + 11417 + ], + [ + 5259, + 8622 + ], + [ + 3738, + 4083 + ], + [ + 1902, + 2384 + ], + [ + 2862, + 4412 + ], + [ + 4102, + 9463 + ], + [ + 2744, + 5854 + ], + [ + 5598, + 11471 + ], + [ + 870, + 1419 + ], + [ + 3299, + 4386 + ], + [ + 3111, + 10751 + ], + [ + 1019, + 7177 + ], + [ + 3145, + 10335 + ], + [ + 122, + 6629 + ], + [ + 2023, + 7225 + ], + [ + 2135, + 7466 + ], + [ + 3694, + 4915 + ], + [ + 708, + 6726 + ], + [ + 854, + 6551 + ], + [ + 1733, + 3487 + ], + [ + 6999, + 7930 + ], + [ + 3288, + 6856 + ], + [ + 1134, + 2404 + ], + [ + 139, + 7737 + ], + [ + 8258, + 10779 + ], + [ + 518, + 3569 + ], + [ + 9098, + 11170 + ], + [ + 2814, + 10356 + ], + [ + 316, + 5340 + ], + [ + 2438, + 11008 + ], + [ + 7686, + 10738 + ], + [ + 440, + 11233 + ], + [ + 5636, + 10019 + ], + [ + 2300, + 4658 + ], + [ + 7198, + 11149 + ], + [ + 3110, + 10125 + ], + [ + 4822, + 7816 + ], + [ + 930, + 4452 + ], + [ + 2719, + 4053 + ], + [ + 2428, + 7287 + ], + [ + 5351, + 10789 + ], + [ + 6996, + 7258 + ], + [ + 2582, + 11137 + ], + [ + 3351, + 3771 + ], + [ + 1124, + 4668 + ], + [ + 683, + 10587 + ], + [ + 4167, + 6020 + ], + [ + 890, + 1239 + ], + [ + 50, + 3477 + ], + [ + 3563, + 7976 + ], + [ + 5304, + 6405 + ], + [ + 2002, + 4038 + ], + [ + 2915, + 6974 + ], + [ + 7416, + 11385 + ], + [ + 6731, + 11282 + ], + [ + 4186, + 10584 + ], + [ + 5733, + 5764 + ], + [ + 5418, + 10856 + ], + [ + 4895, + 9583 + ], + [ + 661, + 2318 + ], + [ + 4081, + 6626 + ], + [ + 760, + 2297 + ], + [ + 4932, + 7930 + ], + [ + 5978, + 9732 + ], + [ + 133, + 5582 + ], + [ + 9780, + 10170 + ], + [ + 537, + 10361 + ], + [ + 2332, + 3391 + ], + [ + 7471, + 8059 + ], + [ + 850, + 8606 + ], + [ + 8253, + 9226 + ], + [ + 6097, + 10363 + ], + [ + 3731, + 5466 + ], + [ + 1484, + 4987 + ], + [ + 1021, + 3011 + ], + [ + 3024, + 7267 + ], + [ + 1949, + 6255 + ], + [ + 1553, + 6255 + ], + [ + 5159, + 6781 + ], + [ + 212, + 10197 + ], + [ + 1205, + 8955 + ], + [ + 7120, + 7428 + ], + [ + 6117, + 8736 + ], + [ + 1676, + 8540 + ], + [ + 5194, + 9219 + ], + [ + 7699, + 10518 + ], + [ + 6558, + 9610 + ], + [ + 9600, + 10360 + ], + [ + 8295, + 8297 + ], + [ + 6395, + 11309 + ], + [ + 359, + 4181 + ], + [ + 2687, + 3336 + ], + [ + 1633, + 7308 + ], + [ + 8725, + 11264 + ], + [ + 6352, + 7448 + ], + [ + 5149, + 5662 + ], + [ + 4027, + 8968 + ], + [ + 1537, + 10983 + ], + [ + 4576, + 5800 + ], + [ + 1155, + 8437 + ], + [ + 1005, + 11122 + ], + [ + 2110, + 3705 + ], + [ + 6170, + 9097 + ], + [ + 6046, + 7341 + ], + [ + 4487, + 9892 + ], + [ + 2333, + 5440 + ], + [ + 1682, + 10583 + ], + [ + 5233, + 7238 + ], + [ + 4510, + 10815 + ], + [ + 957, + 4665 + ], + [ + 468, + 4474 + ], + [ + 4160, + 10436 + ], + [ + 6006, + 11325 + ], + [ + 4104, + 7094 + ], + [ + 4696, + 4754 + ], + [ + 5623, + 10806 + ], + [ + 5220, + 9635 + ], + [ + 296, + 1923 + ], + [ + 1133, + 9213 + ], + [ + 3345, + 7227 + ], + [ + 319, + 594 + ], + [ + 2877, + 5661 + ], + [ + 2906, + 10563 + ], + [ + 3723, + 10785 + ], + [ + 6703, + 10657 + ], + [ + 1794, + 8141 + ], + [ + 5263, + 8958 + ], + [ + 5710, + 10401 + ], + [ + 4560, + 7495 + ], + [ + 916, + 1981 + ], + [ + 4079, + 4189 + ], + [ + 5667, + 6540 + ], + [ + 1930, + 4245 + ], + [ + 5111, + 8537 + ], + [ + 3676, + 7182 + ], + [ + 37, + 4264 + ], + [ + 1083, + 5312 + ], + [ + 2120, + 10004 + ], + [ + 3393, + 3861 + ], + [ + 9313, + 9848 + ], + [ + 5201, + 8430 + ], + [ + 5237, + 10339 + ], + [ + 2310, + 9347 + ], + [ + 6259, + 7583 + ], + [ + 6531, + 11489 + ], + [ + 779, + 1868 + ], + [ + 435, + 2058 + ], + [ + 2540, + 11529 + ], + [ + 1683, + 6970 + ], + [ + 7345, + 11413 + ], + [ + 6280, + 11089 + ], + [ + 6158, + 10160 + ], + [ + 9673, + 11322 + ], + [ + 2928, + 5195 + ], + [ + 7028, + 9262 + ], + [ + 8179, + 8606 + ], + [ + 578, + 831 + ], + [ + 1331, + 5764 + ], + [ + 3230, + 3281 + ], + [ + 330, + 6364 + ], + [ + 9875, + 10675 + ], + [ + 2468, + 6149 + ], + [ + 942, + 5430 + ], + [ + 133, + 2817 + ], + [ + 131, + 6154 + ], + [ + 4274, + 6885 + ], + [ + 2379, + 10241 + ], + [ + 1377, + 1571 + ], + [ + 250, + 7539 + ], + [ + 4613, + 10488 + ], + [ + 912, + 3686 + ], + [ + 3745, + 4262 + ], + [ + 2642, + 7618 + ], + [ + 4049, + 4673 + ], + [ + 19, + 1375 + ], + [ + 7654, + 8734 + ], + [ + 434, + 3280 + ], + [ + 4632, + 8636 + ], + [ + 2139, + 3964 + ], + [ + 1865, + 11309 + ], + [ + 4246, + 4436 + ], + [ + 2850, + 8671 + ], + [ + 8636, + 11460 + ], + [ + 11313, + 11523 + ], + [ + 3539, + 9647 + ], + [ + 3912, + 8697 + ], + [ + 2812, + 9318 + ], + [ + 3495, + 9348 + ], + [ + 4892, + 11377 + ], + [ + 5778, + 9484 + ], + [ + 1695, + 3142 + ], + [ + 5857, + 8087 + ], + [ + 6144, + 11527 + ], + [ + 3840, + 9760 + ], + [ + 4960, + 9791 + ], + [ + 602, + 770 + ], + [ + 5509, + 10787 + ], + [ + 2938, + 11120 + ], + [ + 5323, + 7399 + ], + [ + 4648, + 7984 + ], + [ + 6389, + 10577 + ], + [ + 811, + 2075 + ], + [ + 1409, + 10103 + ], + [ + 220, + 8023 + ], + [ + 2907, + 8774 + ], + [ + 2825, + 6520 + ], + [ + 4674, + 10336 + ], + [ + 5078, + 10951 + ], + [ + 7031, + 10983 + ], + [ + 2148, + 4026 + ], + [ + 4768, + 9971 + ], + [ + 5599, + 9899 + ], + [ + 1311, + 5781 + ], + [ + 4816, + 6255 + ], + [ + 2396, + 7511 + ], + [ + 1830, + 2404 + ], + [ + 4877, + 6881 + ], + [ + 1505, + 5273 + ], + [ + 1797, + 9811 + ], + [ + 2507, + 10910 + ], + [ + 3692, + 5674 + ], + [ + 6609, + 8607 + ], + [ + 781, + 2182 + ], + [ + 3334, + 4653 + ], + [ + 7278, + 7426 + ], + [ + 1403, + 10981 + ], + [ + 5259, + 6020 + ], + [ + 2485, + 8276 + ], + [ + 6623, + 8663 + ], + [ + 8739, + 11133 + ], + [ + 4384, + 5793 + ], + [ + 950, + 3307 + ], + [ + 5750, + 9263 + ], + [ + 522, + 10185 + ], + [ + 553, + 9498 + ], + [ + 608, + 3543 + ], + [ + 1865, + 9699 + ], + [ + 4692, + 7077 + ], + [ + 6995, + 10871 + ], + [ + 4153, + 6045 + ], + [ + 3010, + 11480 + ], + [ + 9316, + 9609 + ], + [ + 5773, + 10563 + ], + [ + 389, + 7562 + ], + [ + 1406, + 4462 + ], + [ + 764, + 1023 + ], + [ + 2467, + 7296 + ], + [ + 944, + 6094 + ], + [ + 2007, + 2585 + ], + [ + 658, + 9672 + ], + [ + 3562, + 8960 + ], + [ + 1310, + 7383 + ], + [ + 2808, + 4556 + ], + [ + 2493, + 5484 + ], + [ + 3368, + 9094 + ], + [ + 6759, + 8500 + ], + [ + 1121, + 1445 + ], + [ + 2459, + 2867 + ], + [ + 1084, + 8733 + ], + [ + 3988, + 8021 + ], + [ + 597, + 2199 + ], + [ + 968, + 4586 + ], + [ + 397, + 1387 + ], + [ + 1864, + 2657 + ], + [ + 9241, + 11478 + ], + [ + 6808, + 11021 + ], + [ + 6562, + 7582 + ], + [ + 2601, + 8585 + ], + [ + 7057, + 7561 + ], + [ + 9295, + 10960 + ], + [ + 8605, + 10513 + ], + [ + 795, + 2564 + ], + [ + 2138, + 10746 + ], + [ + 4432, + 4655 + ], + [ + 920, + 7174 + ], + [ + 1174, + 4812 + ], + [ + 3739, + 10326 + ], + [ + 6951, + 7515 + ], + [ + 5774, + 6950 + ], + [ + 9303, + 11201 + ], + [ + 1845, + 7087 + ], + [ + 1274, + 3888 + ], + [ + 1769, + 8031 + ], + [ + 1273, + 10079 + ], + [ + 1433, + 8082 + ], + [ + 5440, + 9706 + ], + [ + 3984, + 9726 + ], + [ + 684, + 4022 + ], + [ + 9548, + 11382 + ], + [ + 243, + 10695 + ], + [ + 1452, + 9263 + ], + [ + 2109, + 7318 + ], + [ + 985, + 10551 + ], + [ + 5242, + 5934 + ], + [ + 6186, + 8183 + ], + [ + 821, + 2980 + ], + [ + 5595, + 6961 + ], + [ + 72, + 10998 + ], + [ + 9034, + 9067 + ], + [ + 6680, + 7937 + ], + [ + 2067, + 4813 + ], + [ + 6922, + 7470 + ], + [ + 5857, + 7900 + ], + [ + 910, + 11316 + ], + [ + 3747, + 7130 + ], + [ + 102, + 3643 + ], + [ + 4831, + 10887 + ], + [ + 3140, + 7657 + ], + [ + 2811, + 8879 + ], + [ + 1770, + 6697 + ], + [ + 1240, + 3499 + ], + [ + 7216, + 10549 + ], + [ + 4413, + 4897 + ], + [ + 9208, + 10509 + ], + [ + 4222, + 8335 + ], + [ + 4540, + 6924 + ], + [ + 2265, + 7807 + ], + [ + 4663, + 9209 + ], + [ + 8856, + 9303 + ], + [ + 5659, + 6730 + ], + [ + 10972, + 11019 + ], + [ + 2073, + 11020 + ], + [ + 208, + 6671 + ], + [ + 698, + 6306 + ], + [ + 4777, + 9496 + ], + [ + 2160, + 7232 + ], + [ + 8825, + 11121 + ], + [ + 2533, + 5528 + ], + [ + 3011, + 8536 + ], + [ + 3247, + 4871 + ], + [ + 2072, + 5133 + ], + [ + 2228, + 5646 + ], + [ + 7632, + 11551 + ], + [ + 5865, + 7737 + ], + [ + 9882, + 10049 + ], + [ + 9809, + 10510 + ], + [ + 4587, + 10503 + ], + [ + 6294, + 7096 + ], + [ + 1215, + 4731 + ], + [ + 442, + 2529 + ], + [ + 4151, + 6940 + ], + [ + 2368, + 10537 + ], + [ + 1719, + 10091 + ], + [ + 2916, + 11308 + ], + [ + 1610, + 8643 + ], + [ + 1374, + 5892 + ], + [ + 997, + 10106 + ], + [ + 4073, + 8188 + ], + [ + 6492, + 9713 + ], + [ + 236, + 10947 + ], + [ + 2359, + 9670 + ], + [ + 5568, + 7342 + ], + [ + 4501, + 6191 + ], + [ + 6216, + 7563 + ], + [ + 1264, + 4973 + ], + [ + 2886, + 5400 + ], + [ + 5682, + 7629 + ], + [ + 3908, + 9060 + ], + [ + 7772, + 10376 + ], + [ + 9947, + 10043 + ], + [ + 6495, + 10361 + ], + [ + 3821, + 9815 + ], + [ + 2809, + 6873 + ], + [ + 412, + 2663 + ], + [ + 8784, + 10315 + ], + [ + 2774, + 7818 + ], + [ + 5249, + 11130 + ], + [ + 1497, + 3639 + ], + [ + 4218, + 10390 + ], + [ + 1974, + 6422 + ], + [ + 2657, + 10616 + ], + [ + 5826, + 6977 + ], + [ + 9124, + 9602 + ], + [ + 3090, + 3301 + ], + [ + 2641, + 5195 + ], + [ + 3337, + 9594 + ], + [ + 8688, + 10203 + ], + [ + 615, + 9788 + ], + [ + 6657, + 10288 + ], + [ + 4816, + 7491 + ], + [ + 7620, + 9581 + ], + [ + 6997, + 10356 + ], + [ + 2213, + 9040 + ], + [ + 8299, + 9869 + ], + [ + 2697, + 5477 + ], + [ + 2331, + 10981 + ], + [ + 5975, + 10833 + ], + [ + 6405, + 9663 + ], + [ + 6276, + 7563 + ], + [ + 8266, + 10860 + ], + [ + 1733, + 2926 + ], + [ + 5652, + 8113 + ], + [ + 3560, + 4539 + ], + [ + 5179, + 6203 + ], + [ + 1376, + 7792 + ], + [ + 2682, + 4041 + ], + [ + 981, + 10646 + ], + [ + 8164, + 9802 + ], + [ + 65, + 7412 + ], + [ + 158, + 4193 + ], + [ + 5555, + 11563 + ], + [ + 3776, + 6234 + ], + [ + 311, + 4435 + ], + [ + 6824, + 10936 + ], + [ + 8347, + 9105 + ], + [ + 2358, + 8239 + ], + [ + 9742, + 11061 + ], + [ + 6380, + 10895 + ], + [ + 5005, + 9591 + ], + [ + 5497, + 7020 + ], + [ + 4993, + 5043 + ], + [ + 1949, + 3466 + ], + [ + 2594, + 10586 + ], + [ + 10128, + 10723 + ], + [ + 7342, + 9936 + ], + [ + 1110, + 9312 + ], + [ + 9136, + 9157 + ], + [ + 4838, + 11521 + ], + [ + 3475, + 7568 + ], + [ + 6959, + 7165 + ], + [ + 4299, + 10489 + ], + [ + 7203, + 9777 + ], + [ + 6055, + 7698 + ], + [ + 4123, + 6291 + ], + [ + 8231, + 10219 + ], + [ + 9000, + 9269 + ], + [ + 3771, + 7337 + ], + [ + 3334, + 5084 + ], + [ + 404, + 411 + ], + [ + 1687, + 7788 + ], + [ + 973, + 2783 + ], + [ + 5329, + 10977 + ], + [ + 7373, + 11127 + ], + [ + 4824, + 7277 + ], + [ + 6446, + 7704 + ], + [ + 9333, + 11549 + ], + [ + 940, + 3774 + ], + [ + 3416, + 5833 + ], + [ + 2548, + 6777 + ], + [ + 10330, + 10426 + ], + [ + 7902, + 11067 + ], + [ + 4750, + 7513 + ], + [ + 4264, + 11003 + ], + [ + 5162, + 5737 + ], + [ + 4255, + 6753 + ], + [ + 3252, + 8061 + ], + [ + 5253, + 5855 + ], + [ + 7422, + 11369 + ], + [ + 4430, + 5064 + ], + [ + 2255, + 6151 + ], + [ + 5842, + 8879 + ], + [ + 4562, + 5183 + ], + [ + 1487, + 4293 + ], + [ + 5367, + 10306 + ], + [ + 14, + 6618 + ], + [ + 4491, + 6471 + ], + [ + 2963, + 4925 + ], + [ + 1694, + 4771 + ], + [ + 4679, + 9151 + ], + [ + 8533, + 10533 + ], + [ + 4030, + 4541 + ], + [ + 8149, + 9789 + ], + [ + 654, + 9580 + ], + [ + 5695, + 11461 + ], + [ + 4663, + 7867 + ], + [ + 2550, + 3416 + ], + [ + 7837, + 8736 + ], + [ + 7654, + 9783 + ], + [ + 5264, + 5990 + ], + [ + 3149, + 7128 + ], + [ + 2325, + 4237 + ], + [ + 2046, + 4822 + ], + [ + 5934, + 10696 + ], + [ + 2429, + 7970 + ], + [ + 4886, + 6569 + ], + [ + 6739, + 9403 + ], + [ + 3229, + 6333 + ], + [ + 4934, + 9269 + ], + [ + 1885, + 7348 + ], + [ + 4997, + 7339 + ], + [ + 4532, + 8700 + ], + [ + 3107, + 4623 + ], + [ + 1949, + 8272 + ], + [ + 674, + 4920 + ], + [ + 8299, + 10837 + ], + [ + 4118, + 9622 + ], + [ + 4498, + 9089 + ], + [ + 1201, + 7066 + ], + [ + 1653, + 3965 + ], + [ + 4517, + 10270 + ], + [ + 164, + 5757 + ], + [ + 100, + 4052 + ], + [ + 5671, + 9131 + ], + [ + 3269, + 4577 + ], + [ + 8370, + 11427 + ], + [ + 7310, + 11447 + ], + [ + 7027, + 8880 + ], + [ + 4480, + 7355 + ], + [ + 3291, + 5275 + ], + [ + 1806, + 4557 + ], + [ + 395, + 10766 + ], + [ + 1267, + 10695 + ], + [ + 358, + 4468 + ], + [ + 1454, + 4105 + ], + [ + 172, + 5998 + ], + [ + 5345, + 10250 + ], + [ + 7986, + 8404 + ], + [ + 4689, + 8633 + ], + [ + 6960, + 7254 + ], + [ + 1826, + 2930 + ], + [ + 81, + 9263 + ], + [ + 3187, + 6056 + ], + [ + 3169, + 11112 + ], + [ + 454, + 1897 + ], + [ + 4060, + 8839 + ], + [ + 7699, + 8347 + ], + [ + 2711, + 3094 + ], + [ + 3312, + 3469 + ], + [ + 537, + 619 + ], + [ + 5793, + 10790 + ], + [ + 3305, + 6462 + ], + [ + 6393, + 8311 + ], + [ + 259, + 10474 + ], + [ + 192, + 9252 + ], + [ + 3112, + 6821 + ], + [ + 8103, + 9339 + ], + [ + 218, + 1805 + ], + [ + 3045, + 5599 + ], + [ + 6327, + 9943 + ], + [ + 381, + 3489 + ], + [ + 4150, + 7951 + ], + [ + 447, + 7492 + ], + [ + 4852, + 5025 + ], + [ + 2553, + 8520 + ], + [ + 598, + 11071 + ], + [ + 8318, + 10432 + ], + [ + 7941, + 8230 + ], + [ + 713, + 5167 + ], + [ + 2917, + 9736 + ], + [ + 708, + 4823 + ], + [ + 3569, + 7447 + ], + [ + 611, + 11306 + ], + [ + 8990, + 9549 + ], + [ + 905, + 5337 + ], + [ + 2883, + 7119 + ], + [ + 5035, + 11498 + ], + [ + 2795, + 5020 + ], + [ + 5785, + 9744 + ], + [ + 88, + 8498 + ], + [ + 4653, + 8198 + ], + [ + 4606, + 9106 + ], + [ + 6502, + 8604 + ], + [ + 7897, + 10560 + ], + [ + 731, + 9129 + ], + [ + 3229, + 11139 + ], + [ + 4970, + 9568 + ], + [ + 6673, + 9425 + ], + [ + 2070, + 4737 + ], + [ + 7173, + 7496 + ], + [ + 132, + 11429 + ], + [ + 4564, + 5847 + ], + [ + 2193, + 9274 + ], + [ + 5056, + 6309 + ], + [ + 393, + 3068 + ], + [ + 3371, + 10441 + ], + [ + 5767, + 11016 + ], + [ + 4886, + 6837 + ], + [ + 801, + 6461 + ], + [ + 407, + 872 + ], + [ + 998, + 6975 + ], + [ + 7839, + 9400 + ], + [ + 7720, + 11398 + ], + [ + 6313, + 7927 + ], + [ + 6559, + 11366 + ], + [ + 8338, + 10279 + ], + [ + 1335, + 4116 + ], + [ + 4871, + 6155 + ], + [ + 2272, + 10856 + ], + [ + 2391, + 5852 + ], + [ + 3887, + 8614 + ], + [ + 10048, + 10526 + ], + [ + 7579, + 11166 + ], + [ + 2044, + 5744 + ], + [ + 5555, + 9416 + ], + [ + 333, + 5245 + ], + [ + 4899, + 10051 + ], + [ + 5085, + 7023 + ], + [ + 3777, + 7695 + ], + [ + 3309, + 5375 + ], + [ + 5086, + 9877 + ], + [ + 1230, + 6170 + ], + [ + 1536, + 3244 + ], + [ + 3070, + 8742 + ], + [ + 1569, + 2603 + ], + [ + 4955, + 8081 + ], + [ + 2188, + 5092 + ], + [ + 7126, + 10258 + ], + [ + 4758, + 10950 + ], + [ + 95, + 1293 + ], + [ + 3825, + 6581 + ], + [ + 8646, + 10408 + ], + [ + 6794, + 10428 + ], + [ + 2121, + 6499 + ], + [ + 4481, + 11581 + ], + [ + 703, + 9285 + ], + [ + 431, + 11041 + ], + [ + 1296, + 9799 + ], + [ + 5100, + 11064 + ], + [ + 6154, + 6311 + ], + [ + 3721, + 8860 + ], + [ + 5634, + 10971 + ], + [ + 8884, + 10172 + ], + [ + 802, + 6231 + ], + [ + 1762, + 8259 + ], + [ + 4434, + 7978 + ], + [ + 506, + 9121 + ], + [ + 2037, + 10184 + ], + [ + 8365, + 11270 + ], + [ + 2283, + 7207 + ], + [ + 2262, + 6330 + ], + [ + 9130, + 10578 + ], + [ + 2711, + 3712 + ], + [ + 3625, + 8748 + ], + [ + 8169, + 8325 + ], + [ + 2804, + 9538 + ], + [ + 5703, + 8482 + ], + [ + 541, + 1356 + ], + [ + 5047, + 6865 + ], + [ + 8785, + 9762 + ], + [ + 2773, + 7192 + ], + [ + 1431, + 1864 + ], + [ + 2645, + 5694 + ], + [ + 5191, + 9246 + ], + [ + 6414, + 10156 + ], + [ + 5101, + 10484 + ], + [ + 9830, + 10558 + ], + [ + 4536, + 8231 + ], + [ + 1824, + 11365 + ], + [ + 2020, + 9025 + ], + [ + 6086, + 7092 + ], + [ + 3479, + 8522 + ], + [ + 3856, + 8472 + ], + [ + 1118, + 10385 + ], + [ + 1631, + 5308 + ], + [ + 3907, + 11443 + ], + [ + 3563, + 4463 + ], + [ + 211, + 4985 + ], + [ + 4437, + 7471 + ], + [ + 3503, + 10047 + ], + [ + 53, + 7028 + ], + [ + 1476, + 4616 + ], + [ + 4003, + 8118 + ], + [ + 4056, + 11162 + ], + [ + 5948, + 7508 + ], + [ + 266, + 11458 + ], + [ + 605, + 4508 + ], + [ + 10715, + 11072 + ], + [ + 528, + 2598 + ], + [ + 8005, + 8617 + ], + [ + 5694, + 9843 + ], + [ + 8715, + 9716 + ], + [ + 932, + 10006 + ], + [ + 10271, + 10277 + ], + [ + 7993, + 10485 + ], + [ + 4691, + 8118 + ], + [ + 6812, + 10178 + ], + [ + 4640, + 10782 + ], + [ + 681, + 5442 + ], + [ + 1431, + 4442 + ], + [ + 4717, + 5552 + ], + [ + 2286, + 2512 + ], + [ + 1587, + 4955 + ], + [ + 5592, + 5752 + ], + [ + 3902, + 9540 + ], + [ + 1023, + 6310 + ], + [ + 4476, + 6594 + ], + [ + 2760, + 11413 + ], + [ + 4713, + 5783 + ], + [ + 1822, + 10864 + ], + [ + 10817, + 11325 + ], + [ + 8907, + 9485 + ], + [ + 1687, + 10447 + ], + [ + 4703, + 8478 + ], + [ + 2934, + 10253 + ], + [ + 1843, + 2292 + ], + [ + 2242, + 8979 + ], + [ + 1989, + 8533 + ], + [ + 4550, + 10865 + ], + [ + 1496, + 2184 + ], + [ + 4233, + 8714 + ], + [ + 5516, + 10429 + ], + [ + 2085, + 5208 + ], + [ + 4351, + 6491 + ], + [ + 8516, + 8701 + ], + [ + 250, + 9369 + ], + [ + 1549, + 4447 + ], + [ + 7999, + 10626 + ], + [ + 8895, + 10949 + ], + [ + 6746, + 11005 + ], + [ + 4569, + 11265 + ], + [ + 1766, + 6367 + ], + [ + 2765, + 7569 + ], + [ + 47, + 5253 + ], + [ + 6440, + 6734 + ], + [ + 1201, + 10530 + ], + [ + 4028, + 7908 + ], + [ + 4034, + 4690 + ], + [ + 6057, + 10379 + ], + [ + 290, + 1224 + ], + [ + 797, + 2718 + ], + [ + 1418, + 6034 + ], + [ + 1884, + 6773 + ], + [ + 6571, + 8156 + ], + [ + 1632, + 3519 + ], + [ + 1069, + 4345 + ], + [ + 9126, + 10673 + ], + [ + 6235, + 11590 + ], + [ + 3587, + 3597 + ], + [ + 2496, + 9222 + ], + [ + 254, + 1917 + ], + [ + 3798, + 7981 + ], + [ + 3012, + 7826 + ], + [ + 1893, + 10649 + ], + [ + 114, + 5320 + ], + [ + 3448, + 4192 + ], + [ + 8934, + 10853 + ], + [ + 3724, + 8971 + ], + [ + 1427, + 1959 + ], + [ + 375, + 6758 + ], + [ + 2765, + 3381 + ], + [ + 588, + 7805 + ], + [ + 2391, + 11276 + ], + [ + 2505, + 2518 + ], + [ + 1895, + 7662 + ], + [ + 698, + 1557 + ], + [ + 4247, + 7965 + ], + [ + 3096, + 6369 + ], + [ + 6832, + 8439 + ], + [ + 2474, + 3582 + ], + [ + 1655, + 7451 + ], + [ + 2470, + 6846 + ], + [ + 8977, + 9395 + ], + [ + 482, + 7005 + ], + [ + 4620, + 8146 + ], + [ + 1946, + 7600 + ], + [ + 764, + 6691 + ], + [ + 4277, + 11190 + ], + [ + 574, + 9977 + ], + [ + 2752, + 9161 + ], + [ + 2490, + 4465 + ], + [ + 2751, + 8936 + ], + [ + 6437, + 8290 + ], + [ + 3730, + 9516 + ], + [ + 2424, + 6097 + ], + [ + 6190, + 11042 + ], + [ + 8994, + 10099 + ], + [ + 4849, + 8541 + ], + [ + 6468, + 10205 + ], + [ + 4417, + 6632 + ], + [ + 4248, + 10795 + ], + [ + 6144, + 11047 + ], + [ + 2603, + 8664 + ], + [ + 395, + 7359 + ], + [ + 5152, + 9481 + ], + [ + 5218, + 11232 + ], + [ + 1107, + 2088 + ], + [ + 3629, + 5246 + ], + [ + 749, + 10516 + ], + [ + 1101, + 8689 + ], + [ + 3582, + 4676 + ], + [ + 3279, + 4867 + ], + [ + 5362, + 7197 + ], + [ + 754, + 7827 + ], + [ + 10334, + 11193 + ], + [ + 7842, + 10129 + ], + [ + 4239, + 6868 + ], + [ + 526, + 4967 + ], + [ + 5300, + 9702 + ], + [ + 5544, + 10062 + ], + [ + 969, + 2504 + ], + [ + 6435, + 10041 + ], + [ + 2569, + 5646 + ], + [ + 707, + 4224 + ], + [ + 2110, + 4543 + ], + [ + 3075, + 6915 + ], + [ + 5367, + 7167 + ], + [ + 516, + 11045 + ], + [ + 2296, + 6396 + ], + [ + 7110, + 9806 + ], + [ + 916, + 5502 + ], + [ + 730, + 2114 + ], + [ + 1607, + 8803 + ], + [ + 9446, + 9576 + ], + [ + 2536, + 10020 + ], + [ + 1440, + 3967 + ], + [ + 6794, + 10509 + ], + [ + 9781, + 10054 + ], + [ + 1190, + 3038 + ], + [ + 787, + 6031 + ], + [ + 1705, + 2171 + ], + [ + 1725, + 3547 + ], + [ + 1617, + 6488 + ], + [ + 5476, + 7460 + ], + [ + 5197, + 8045 + ], + [ + 1241, + 7140 + ], + [ + 4609, + 4842 + ], + [ + 6376, + 8656 + ], + [ + 371, + 7257 + ], + [ + 5154, + 8348 + ], + [ + 2974, + 9091 + ], + [ + 2423, + 5016 + ], + [ + 8059, + 10490 + ], + [ + 2261, + 6940 + ], + [ + 7742, + 9093 + ], + [ + 6744, + 9991 + ], + [ + 6687, + 7205 + ], + [ + 2855, + 3892 + ], + [ + 577, + 8264 + ], + [ + 7015, + 8764 + ], + [ + 5996, + 8785 + ], + [ + 5213, + 5895 + ], + [ + 5993, + 8487 + ], + [ + 6, + 1278 + ], + [ + 5957, + 6578 + ], + [ + 5614, + 9622 + ], + [ + 4869, + 5304 + ], + [ + 4765, + 10616 + ], + [ + 383, + 1201 + ], + [ + 3748, + 5048 + ], + [ + 4589, + 5664 + ], + [ + 8014, + 10316 + ], + [ + 4821, + 10925 + ], + [ + 4599, + 6382 + ], + [ + 37, + 3947 + ], + [ + 2827, + 7859 + ], + [ + 6352, + 9709 + ], + [ + 5719, + 9796 + ], + [ + 1889, + 6556 + ], + [ + 2618, + 6931 + ], + [ + 526, + 3357 + ], + [ + 802, + 2474 + ], + [ + 1020, + 1613 + ], + [ + 3607, + 11582 + ], + [ + 25, + 2782 + ], + [ + 6363, + 9494 + ], + [ + 9720, + 10070 + ], + [ + 3107, + 10478 + ], + [ + 1975, + 8932 + ], + [ + 7833, + 11035 + ], + [ + 1097, + 2018 + ], + [ + 9200, + 10943 + ], + [ + 107, + 7695 + ], + [ + 174, + 8917 + ], + [ + 6361, + 10552 + ], + [ + 1972, + 6382 + ], + [ + 3871, + 5397 + ], + [ + 1808, + 6725 + ], + [ + 4824, + 11172 + ], + [ + 1472, + 10940 + ], + [ + 326, + 6278 + ], + [ + 1126, + 3887 + ], + [ + 4450, + 8487 + ], + [ + 6442, + 8447 + ], + [ + 1220, + 3522 + ], + [ + 1024, + 3610 + ], + [ + 134, + 3075 + ], + [ + 2985, + 4257 + ], + [ + 6696, + 9495 + ], + [ + 1586, + 5565 + ], + [ + 1376, + 8199 + ], + [ + 6567, + 7395 + ], + [ + 3669, + 11305 + ], + [ + 1867, + 10688 + ], + [ + 2361, + 5561 + ], + [ + 595, + 11017 + ], + [ + 3417, + 8051 + ], + [ + 8737, + 9347 + ], + [ + 1894, + 6849 + ], + [ + 4318, + 8718 + ], + [ + 1606, + 3184 + ], + [ + 3037, + 11213 + ], + [ + 3319, + 10145 + ], + [ + 1043, + 4010 + ], + [ + 8618, + 11318 + ], + [ + 3759, + 4001 + ], + [ + 3939, + 6820 + ], + [ + 4651, + 5336 + ], + [ + 14, + 1064 + ], + [ + 1104, + 8800 + ], + [ + 6109, + 11024 + ], + [ + 6290, + 7652 + ], + [ + 2351, + 4442 + ], + [ + 1162, + 6526 + ], + [ + 561, + 4616 + ], + [ + 7902, + 10774 + ], + [ + 5820, + 7888 + ], + [ + 3180, + 11090 + ], + [ + 317, + 1223 + ], + [ + 64, + 777 + ], + [ + 2868, + 9283 + ], + [ + 3639, + 8406 + ], + [ + 4265, + 5650 + ], + [ + 1928, + 7907 + ], + [ + 6040, + 7073 + ], + [ + 8156, + 11041 + ], + [ + 2732, + 6389 + ], + [ + 4478, + 10080 + ], + [ + 2661, + 7677 + ], + [ + 3383, + 6881 + ], + [ + 9546, + 9620 + ], + [ + 8696, + 11170 + ], + [ + 2051, + 2995 + ], + [ + 5346, + 6103 + ], + [ + 2782, + 3473 + ], + [ + 4896, + 10778 + ], + [ + 763, + 4319 + ], + [ + 3837, + 7990 + ], + [ + 191, + 8065 + ], + [ + 1044, + 10196 + ], + [ + 2040, + 5465 + ], + [ + 1854, + 9247 + ], + [ + 5555, + 6627 + ], + [ + 6539, + 9803 + ], + [ + 3645, + 4787 + ], + [ + 4419, + 8345 + ], + [ + 3154, + 5681 + ], + [ + 2615, + 4649 + ], + [ + 7941, + 9897 + ], + [ + 4758, + 11194 + ], + [ + 121, + 9174 + ], + [ + 7093, + 8110 + ], + [ + 248, + 8949 + ], + [ + 9370, + 10683 + ], + [ + 7933, + 8501 + ], + [ + 3133, + 3299 + ], + [ + 1302, + 4196 + ], + [ + 5163, + 5995 + ], + [ + 2733, + 5809 + ], + [ + 362, + 9236 + ], + [ + 558, + 6896 + ], + [ + 8338, + 9718 + ], + [ + 208, + 8769 + ], + [ + 3174, + 8935 + ], + [ + 3384, + 4049 + ], + [ + 803, + 3694 + ], + [ + 8483, + 10072 + ], + [ + 1858, + 8211 + ], + [ + 7517, + 9727 + ], + [ + 353, + 1953 + ], + [ + 3782, + 4095 + ], + [ + 5927, + 10713 + ], + [ + 5146, + 10902 + ], + [ + 145, + 11049 + ], + [ + 7506, + 8814 + ], + [ + 629, + 1070 + ], + [ + 7484, + 10718 + ], + [ + 5834, + 7489 + ], + [ + 6667, + 8244 + ], + [ + 3088, + 9541 + ], + [ + 4745, + 6771 + ], + [ + 973, + 10679 + ], + [ + 937, + 8770 + ], + [ + 2654, + 6051 + ], + [ + 63, + 1598 + ], + [ + 5515, + 8675 + ], + [ + 10064, + 10848 + ], + [ + 1744, + 3386 + ], + [ + 4737, + 6129 + ], + [ + 9243, + 10884 + ], + [ + 3520, + 8417 + ], + [ + 4855, + 10322 + ], + [ + 1807, + 11255 + ], + [ + 4296, + 5605 + ], + [ + 2976, + 4008 + ], + [ + 457, + 5285 + ], + [ + 3977, + 6791 + ], + [ + 3046, + 9665 + ], + [ + 399, + 10942 + ], + [ + 5960, + 8917 + ], + [ + 1512, + 9802 + ], + [ + 4910, + 10379 + ], + [ + 3131, + 11466 + ], + [ + 1982, + 6533 + ], + [ + 4029, + 6200 + ], + [ + 338, + 7256 + ], + [ + 1329, + 8597 + ], + [ + 923, + 3745 + ], + [ + 109, + 788 + ], + [ + 2249, + 7062 + ], + [ + 5562, + 11473 + ], + [ + 5676, + 6125 + ], + [ + 3403, + 6677 + ], + [ + 9571, + 9760 + ], + [ + 4867, + 10682 + ], + [ + 7365, + 8528 + ], + [ + 4898, + 5831 + ], + [ + 10130, + 11444 + ], + [ + 7542, + 9918 + ], + [ + 264, + 5240 + ], + [ + 2000, + 3325 + ], + [ + 327, + 9726 + ], + [ + 6483, + 11294 + ], + [ + 1533, + 4613 + ], + [ + 2343, + 10080 + ], + [ + 2217, + 5245 + ], + [ + 5140, + 8747 + ], + [ + 7354, + 7588 + ], + [ + 4978, + 10671 + ], + [ + 5325, + 7746 + ], + [ + 3771, + 4979 + ], + [ + 992, + 11055 + ], + [ + 8963, + 11193 + ], + [ + 625, + 3125 + ], + [ + 5320, + 10785 + ], + [ + 6440, + 7783 + ], + [ + 208, + 7159 + ], + [ + 302, + 10204 + ], + [ + 4495, + 11052 + ], + [ + 3502, + 6632 + ], + [ + 4066, + 8660 + ], + [ + 4596, + 4688 + ], + [ + 3813, + 4050 + ], + [ + 292, + 2319 + ], + [ + 3557, + 9722 + ], + [ + 10491, + 11584 + ], + [ + 1782, + 4512 + ], + [ + 10923, + 11214 + ], + [ + 1962, + 9583 + ], + [ + 3515, + 6463 + ], + [ + 464, + 3715 + ], + [ + 863, + 7396 + ], + [ + 6152, + 7127 + ], + [ + 5074, + 6541 + ], + [ + 6251, + 10489 + ], + [ + 1858, + 8829 + ], + [ + 1347, + 10599 + ], + [ + 7207, + 9365 + ], + [ + 2004, + 2238 + ], + [ + 9419, + 11543 + ], + [ + 1919, + 10236 + ], + [ + 7881, + 8555 + ], + [ + 8670, + 8981 + ], + [ + 5031, + 10227 + ], + [ + 8544, + 10562 + ], + [ + 2477, + 8285 + ], + [ + 2183, + 7838 + ], + [ + 223, + 10045 + ], + [ + 1749, + 10764 + ], + [ + 6363, + 11080 + ], + [ + 40, + 11092 + ], + [ + 4434, + 9190 + ], + [ + 2674, + 8075 + ], + [ + 1445, + 7320 + ], + [ + 2369, + 7439 + ], + [ + 8155, + 10228 + ], + [ + 3450, + 7515 + ], + [ + 4322, + 7444 + ], + [ + 590, + 5493 + ], + [ + 6094, + 9350 + ], + [ + 1904, + 8773 + ], + [ + 2372, + 10339 + ], + [ + 3265, + 4729 + ], + [ + 524, + 709 + ], + [ + 4288, + 4827 + ], + [ + 3319, + 4965 + ], + [ + 2233, + 4518 + ], + [ + 2670, + 4519 + ], + [ + 2671, + 8127 + ], + [ + 975, + 4553 + ], + [ + 2442, + 11458 + ], + [ + 3034, + 9118 + ], + [ + 2168, + 5971 + ], + [ + 6509, + 6717 + ], + [ + 10158, + 11077 + ], + [ + 6665, + 7230 + ], + [ + 292, + 709 + ], + [ + 1945, + 7619 + ], + [ + 3898, + 8405 + ], + [ + 1431, + 4954 + ], + [ + 5634, + 6490 + ], + [ + 940, + 8100 + ], + [ + 6043, + 10859 + ], + [ + 257, + 1654 + ], + [ + 3746, + 11017 + ], + [ + 10022, + 10435 + ], + [ + 808, + 9112 + ], + [ + 133, + 9697 + ], + [ + 1062, + 10160 + ], + [ + 6058, + 8888 + ], + [ + 3857, + 8000 + ], + [ + 1646, + 9430 + ], + [ + 1465, + 10550 + ], + [ + 7721, + 10070 + ], + [ + 1367, + 7763 + ], + [ + 4142, + 11367 + ], + [ + 10176, + 11252 + ], + [ + 678, + 10170 + ], + [ + 4630, + 7923 + ], + [ + 3879, + 9452 + ], + [ + 169, + 11232 + ], + [ + 2124, + 2265 + ], + [ + 7798, + 8223 + ], + [ + 7, + 6740 + ], + [ + 1003, + 8425 + ], + [ + 3372, + 4925 + ], + [ + 9197, + 11052 + ], + [ + 1884, + 5407 + ], + [ + 6020, + 9885 + ], + [ + 1039, + 8055 + ], + [ + 5478, + 11588 + ], + [ + 6455, + 9059 + ], + [ + 3432, + 8359 + ], + [ + 4894, + 11537 + ], + [ + 3277, + 5038 + ], + [ + 9061, + 11164 + ], + [ + 2580, + 2666 + ], + [ + 2082, + 8805 + ], + [ + 4444, + 7544 + ], + [ + 2047, + 9750 + ], + [ + 216, + 4231 + ], + [ + 5730, + 8776 + ], + [ + 4124, + 5095 + ], + [ + 8955, + 10364 + ], + [ + 1269, + 6423 + ], + [ + 4285, + 5952 + ], + [ + 4727, + 7051 + ], + [ + 10785, + 11494 + ], + [ + 1549, + 2276 + ], + [ + 5626, + 8803 + ], + [ + 146, + 6094 + ], + [ + 6051, + 10295 + ], + [ + 5404, + 6512 + ], + [ + 3439, + 8375 + ], + [ + 858, + 8020 + ], + [ + 4186, + 9356 + ], + [ + 6608, + 8900 + ], + [ + 204, + 3066 + ], + [ + 7302, + 10220 + ], + [ + 8417, + 9907 + ], + [ + 5332, + 7575 + ], + [ + 8792, + 9030 + ], + [ + 6127, + 8977 + ], + [ + 1248, + 10807 + ], + [ + 3574, + 9889 + ], + [ + 2579, + 8806 + ], + [ + 647, + 2481 + ], + [ + 3915, + 7149 + ], + [ + 6380, + 9773 + ], + [ + 1490, + 7307 + ], + [ + 2008, + 2574 + ], + [ + 5285, + 10738 + ], + [ + 5567, + 9670 + ], + [ + 7803, + 9990 + ], + [ + 6960, + 8547 + ], + [ + 826, + 5048 + ], + [ + 1359, + 5511 + ], + [ + 3069, + 8791 + ], + [ + 1326, + 9535 + ], + [ + 7303, + 8886 + ], + [ + 4526, + 5209 + ], + [ + 2196, + 8637 + ], + [ + 5305, + 9111 + ], + [ + 1568, + 2652 + ], + [ + 3927, + 4126 + ], + [ + 6519, + 8023 + ], + [ + 3341, + 10418 + ], + [ + 5012, + 5102 + ], + [ + 4323, + 7509 + ], + [ + 1876, + 3936 + ], + [ + 380, + 6809 + ], + [ + 134, + 4124 + ], + [ + 3233, + 9572 + ], + [ + 6450, + 7105 + ], + [ + 430, + 510 + ], + [ + 2490, + 8710 + ], + [ + 2646, + 2807 + ], + [ + 6408, + 10262 + ], + [ + 9078, + 9908 + ], + [ + 4563, + 6565 + ], + [ + 306, + 8930 + ], + [ + 1576, + 5522 + ], + [ + 3473, + 8628 + ], + [ + 1135, + 1615 + ], + [ + 1520, + 2180 + ], + [ + 4412, + 10533 + ], + [ + 4558, + 9604 + ], + [ + 2724, + 4568 + ], + [ + 1664, + 5342 + ], + [ + 387, + 6825 + ], + [ + 4279, + 4527 + ], + [ + 953, + 3264 + ], + [ + 1532, + 2190 + ], + [ + 5019, + 7720 + ], + [ + 9194, + 11372 + ], + [ + 4643, + 8372 + ], + [ + 2253, + 5333 + ], + [ + 9679, + 9909 + ], + [ + 692, + 1395 + ], + [ + 9028, + 9390 + ], + [ + 6908, + 7932 + ], + [ + 3673, + 9039 + ], + [ + 6694, + 8912 + ], + [ + 4602, + 5338 + ], + [ + 684, + 753 + ], + [ + 2787, + 7899 + ], + [ + 340, + 10742 + ], + [ + 3299, + 9737 + ], + [ + 6584, + 7993 + ], + [ + 5405, + 10765 + ], + [ + 21, + 7764 + ], + [ + 642, + 10326 + ], + [ + 8145, + 8898 + ], + [ + 3162, + 10405 + ], + [ + 3473, + 7823 + ], + [ + 3435, + 5087 + ], + [ + 6236, + 7660 + ], + [ + 8290, + 10750 + ], + [ + 2667, + 9645 + ], + [ + 4217, + 8506 + ], + [ + 5213, + 10945 + ], + [ + 6675, + 7707 + ], + [ + 5124, + 10873 + ], + [ + 3218, + 4271 + ], + [ + 8102, + 8420 + ], + [ + 3918, + 4682 + ], + [ + 8434, + 10879 + ], + [ + 3270, + 10096 + ], + [ + 1219, + 6523 + ], + [ + 849, + 4738 + ], + [ + 8569, + 10515 + ], + [ + 6032, + 9708 + ], + [ + 3761, + 3917 + ], + [ + 6599, + 9001 + ], + [ + 2896, + 8542 + ], + [ + 2984, + 4225 + ], + [ + 2328, + 9024 + ], + [ + 3200, + 8953 + ], + [ + 774, + 6257 + ], + [ + 892, + 10450 + ], + [ + 6556, + 11556 + ], + [ + 6305, + 7773 + ], + [ + 6251, + 10920 + ], + [ + 308, + 10399 + ], + [ + 2581, + 6437 + ], + [ + 681, + 2279 + ], + [ + 74, + 3587 + ], + [ + 4836, + 6807 + ], + [ + 7211, + 9915 + ], + [ + 2416, + 5057 + ], + [ + 1445, + 4368 + ], + [ + 8041, + 10372 + ], + [ + 3712, + 6253 + ], + [ + 6198, + 7502 + ], + [ + 4546, + 9862 + ], + [ + 971, + 2233 + ], + [ + 1435, + 7063 + ], + [ + 6846, + 7723 + ], + [ + 10087, + 10568 + ], + [ + 2432, + 5940 + ], + [ + 7874, + 8165 + ], + [ + 3837, + 8584 + ], + [ + 3008, + 4595 + ], + [ + 98, + 5462 + ], + [ + 1128, + 8983 + ], + [ + 8922, + 10013 + ], + [ + 6069, + 11414 + ], + [ + 8080, + 11424 + ], + [ + 3794, + 8887 + ], + [ + 4157, + 6495 + ], + [ + 1731, + 3799 + ], + [ + 6247, + 9242 + ], + [ + 3467, + 6048 + ], + [ + 1481, + 9286 + ], + [ + 894, + 5554 + ], + [ + 2035, + 4210 + ], + [ + 5133, + 6747 + ], + [ + 579, + 4230 + ], + [ + 6124, + 8842 + ], + [ + 5530, + 8103 + ], + [ + 2192, + 7577 + ], + [ + 1354, + 11396 + ], + [ + 6154, + 10182 + ], + [ + 817, + 7027 + ], + [ + 849, + 9194 + ], + [ + 3035, + 5987 + ], + [ + 3398, + 10765 + ], + [ + 879, + 11288 + ], + [ + 533, + 4235 + ], + [ + 3767, + 5155 + ], + [ + 6939, + 10115 + ], + [ + 1738, + 3815 + ], + [ + 7871, + 10095 + ], + [ + 9027, + 9783 + ], + [ + 5042, + 10392 + ], + [ + 190, + 4246 + ], + [ + 436, + 7685 + ], + [ + 780, + 1079 + ], + [ + 7338, + 10763 + ], + [ + 4418, + 6778 + ], + [ + 6220, + 10778 + ], + [ + 1953, + 8291 + ], + [ + 5254, + 10433 + ], + [ + 7181, + 9998 + ], + [ + 8635, + 9151 + ], + [ + 1916, + 8409 + ], + [ + 2876, + 10437 + ], + [ + 3693, + 10659 + ], + [ + 3996, + 4052 + ], + [ + 771, + 10011 + ], + [ + 4780, + 8298 + ], + [ + 9162, + 11297 + ], + [ + 7209, + 9013 + ], + [ + 2818, + 4016 + ], + [ + 2565, + 3570 + ], + [ + 1935, + 9590 + ], + [ + 1007, + 5565 + ], + [ + 4558, + 6384 + ], + [ + 4902, + 6948 + ], + [ + 3777, + 6573 + ], + [ + 5819, + 5896 + ], + [ + 2589, + 7347 + ], + [ + 2835, + 4370 + ], + [ + 1558, + 6607 + ], + [ + 1363, + 3133 + ], + [ + 1063, + 10011 + ], + [ + 4614, + 6666 + ], + [ + 2513, + 5258 + ], + [ + 10081, + 10641 + ], + [ + 7555, + 10747 + ], + [ + 174, + 4436 + ], + [ + 8248, + 8459 + ], + [ + 3143, + 9037 + ], + [ + 7336, + 9131 + ], + [ + 8955, + 10795 + ], + [ + 1259, + 6166 + ], + [ + 5055, + 6035 + ], + [ + 6082, + 10039 + ], + [ + 2202, + 8190 + ], + [ + 3441, + 5469 + ], + [ + 5736, + 9402 + ], + [ + 5691, + 10383 + ], + [ + 920, + 2913 + ], + [ + 6962, + 9829 + ], + [ + 4682, + 11122 + ], + [ + 10628, + 11160 + ], + [ + 5, + 9703 + ], + [ + 3674, + 4135 + ], + [ + 5071, + 6918 + ], + [ + 8155, + 11277 + ], + [ + 1558, + 5802 + ], + [ + 97, + 9642 + ], + [ + 775, + 8574 + ], + [ + 775, + 2158 + ], + [ + 346, + 6182 + ], + [ + 4484, + 6569 + ], + [ + 4419, + 9557 + ], + [ + 10200, + 11248 + ], + [ + 5513, + 10619 + ], + [ + 5286, + 11394 + ], + [ + 4066, + 7749 + ], + [ + 327, + 4627 + ], + [ + 7902, + 11181 + ], + [ + 2601, + 9935 + ], + [ + 4067, + 4187 + ], + [ + 5992, + 9341 + ], + [ + 2759, + 4859 + ], + [ + 1797, + 6168 + ], + [ + 5372, + 7381 + ], + [ + 1416, + 2312 + ], + [ + 7274, + 10831 + ], + [ + 1207, + 8554 + ], + [ + 4185, + 5347 + ], + [ + 580, + 5423 + ], + [ + 1760, + 9669 + ], + [ + 2037, + 8257 + ], + [ + 7195, + 11477 + ], + [ + 8604, + 9359 + ], + [ + 4337, + 6118 + ], + [ + 7188, + 8054 + ], + [ + 1989, + 8216 + ], + [ + 781, + 1922 + ], + [ + 7759, + 10472 + ], + [ + 4865, + 5456 + ], + [ + 3048, + 10223 + ], + [ + 7277, + 9974 + ], + [ + 1396, + 10331 + ], + [ + 4291, + 6123 + ], + [ + 4228, + 11436 + ], + [ + 364, + 3704 + ], + [ + 8085, + 11581 + ], + [ + 6460, + 10102 + ], + [ + 2485, + 11399 + ], + [ + 6267, + 10461 + ], + [ + 2765, + 7252 + ], + [ + 2946, + 3880 + ], + [ + 8233, + 9200 + ], + [ + 1514, + 8458 + ], + [ + 203, + 5449 + ], + [ + 7326, + 10216 + ], + [ + 4616, + 7761 + ], + [ + 4403, + 10097 + ], + [ + 1788, + 4496 + ], + [ + 700, + 8884 + ], + [ + 10400, + 10854 + ], + [ + 1312, + 7950 + ], + [ + 1747, + 7878 + ], + [ + 4272, + 10553 + ], + [ + 3181, + 9008 + ], + [ + 1278, + 8339 + ], + [ + 7012, + 7932 + ], + [ + 8579, + 8682 + ], + [ + 6409, + 10113 + ], + [ + 7307, + 11263 + ], + [ + 1550, + 6960 + ], + [ + 1737, + 9038 + ], + [ + 3855, + 8171 + ], + [ + 2852, + 8725 + ], + [ + 990, + 8057 + ], + [ + 2286, + 3618 + ], + [ + 1335, + 9223 + ], + [ + 6428, + 11294 + ], + [ + 8329, + 11136 + ], + [ + 1170, + 10876 + ], + [ + 309, + 8073 + ], + [ + 2448, + 5831 + ], + [ + 2410, + 4593 + ], + [ + 359, + 1774 + ], + [ + 3571, + 5379 + ], + [ + 4089, + 10472 + ], + [ + 7275, + 8692 + ], + [ + 7798, + 8467 + ], + [ + 19, + 2083 + ], + [ + 3338, + 5585 + ], + [ + 6326, + 10236 + ], + [ + 698, + 4623 + ], + [ + 2754, + 6288 + ], + [ + 3339, + 9193 + ], + [ + 1004, + 5861 + ], + [ + 3957, + 11457 + ], + [ + 10335, + 11152 + ], + [ + 8695, + 9365 + ], + [ + 6608, + 10299 + ], + [ + 2776, + 6986 + ], + [ + 3731, + 8670 + ], + [ + 3213, + 6987 + ], + [ + 1088, + 7437 + ], + [ + 2119, + 2515 + ], + [ + 5255, + 7064 + ], + [ + 3148, + 5811 + ], + [ + 8867, + 11542 + ], + [ + 1028, + 4353 + ], + [ + 4047, + 10569 + ], + [ + 2110, + 8064 + ], + [ + 2768, + 9727 + ], + [ + 1201, + 1837 + ], + [ + 59, + 10126 + ], + [ + 1301, + 8834 + ], + [ + 8928, + 11414 + ], + [ + 4809, + 8825 + ], + [ + 5117, + 6726 + ], + [ + 2790, + 4009 + ], + [ + 2292, + 3732 + ], + [ + 2660, + 8100 + ], + [ + 1218, + 5574 + ], + [ + 4112, + 4174 + ], + [ + 1342, + 1668 + ], + [ + 980, + 6914 + ], + [ + 4218, + 5324 + ], + [ + 9603, + 11179 + ], + [ + 1198, + 8305 + ], + [ + 2409, + 7700 + ], + [ + 4357, + 7388 + ], + [ + 1776, + 7787 + ], + [ + 3235, + 7284 + ], + [ + 910, + 11056 + ], + [ + 2091, + 2695 + ], + [ + 6287, + 6470 + ], + [ + 1188, + 11000 + ], + [ + 2089, + 9415 + ], + [ + 5697, + 6604 + ], + [ + 406, + 3794 + ], + [ + 4390, + 10130 + ], + [ + 3263, + 9682 + ], + [ + 5121, + 6444 + ], + [ + 2488, + 5899 + ], + [ + 2760, + 4143 + ], + [ + 1258, + 1566 + ], + [ + 1105, + 3953 + ], + [ + 8639, + 10506 + ], + [ + 1925, + 10862 + ], + [ + 24, + 3850 + ], + [ + 301, + 2438 + ], + [ + 10349, + 11534 + ], + [ + 800, + 4071 + ], + [ + 614, + 7099 + ], + [ + 793, + 9316 + ], + [ + 4060, + 10376 + ], + [ + 2345, + 2588 + ], + [ + 6151, + 6932 + ], + [ + 5653, + 6655 + ], + [ + 600, + 2505 + ], + [ + 861, + 11140 + ], + [ + 2971, + 5494 + ], + [ + 7693, + 9315 + ], + [ + 826, + 2259 + ], + [ + 8508, + 8710 + ], + [ + 4647, + 6911 + ], + [ + 3716, + 9785 + ], + [ + 8403, + 11168 + ], + [ + 5703, + 9401 + ], + [ + 1154, + 7228 + ], + [ + 4238, + 5171 + ], + [ + 7252, + 8791 + ], + [ + 2429, + 7547 + ], + [ + 89, + 11041 + ], + [ + 9581, + 11554 + ], + [ + 3146, + 4155 + ], + [ + 7409, + 9906 + ], + [ + 4102, + 9447 + ], + [ + 215, + 6427 + ], + [ + 1175, + 8455 + ], + [ + 8490, + 9228 + ], + [ + 2133, + 3994 + ], + [ + 7963, + 10465 + ], + [ + 2817, + 3872 + ], + [ + 1176, + 8276 + ], + [ + 2888, + 5967 + ], + [ + 5868, + 10003 + ], + [ + 3251, + 10745 + ], + [ + 2167, + 6207 + ], + [ + 732, + 4852 + ], + [ + 5520, + 9293 + ], + [ + 107, + 4800 + ], + [ + 3849, + 5187 + ], + [ + 878, + 4677 + ], + [ + 2326, + 3985 + ], + [ + 7269, + 9495 + ], + [ + 6584, + 9392 + ], + [ + 3160, + 7594 + ], + [ + 7239, + 10784 + ], + [ + 3614, + 5320 + ], + [ + 969, + 3260 + ], + [ + 6540, + 8339 + ], + [ + 2968, + 4391 + ], + [ + 46, + 10159 + ], + [ + 3183, + 6265 + ], + [ + 1562, + 3774 + ], + [ + 251, + 765 + ], + [ + 6229, + 7888 + ], + [ + 7655, + 11409 + ], + [ + 4050, + 11485 + ], + [ + 160, + 2532 + ], + [ + 6166, + 6785 + ], + [ + 4798, + 9658 + ], + [ + 8896, + 10646 + ], + [ + 3858, + 8282 + ], + [ + 7502, + 11544 + ], + [ + 2046, + 6977 + ], + [ + 8023, + 10492 + ], + [ + 493, + 7064 + ], + [ + 3473, + 11100 + ], + [ + 869, + 9795 + ], + [ + 119, + 8543 + ], + [ + 1829, + 5407 + ], + [ + 1509, + 3739 + ], + [ + 1603, + 3374 + ], + [ + 4125, + 6532 + ], + [ + 8894, + 10169 + ], + [ + 8956, + 11047 + ], + [ + 8316, + 9963 + ], + [ + 1941, + 9031 + ], + [ + 5932, + 10122 + ], + [ + 5082, + 8262 + ], + [ + 7907, + 8223 + ], + [ + 2494, + 4484 + ], + [ + 6483, + 11164 + ], + [ + 3183, + 5460 + ], + [ + 3905, + 11080 + ], + [ + 4332, + 10393 + ], + [ + 3857, + 6902 + ], + [ + 1152, + 4791 + ], + [ + 4928, + 11178 + ], + [ + 3951, + 6537 + ], + [ + 4769, + 9613 + ], + [ + 1529, + 11130 + ], + [ + 1586, + 5248 + ], + [ + 5722, + 8972 + ], + [ + 5792, + 9711 + ], + [ + 2800, + 8324 + ], + [ + 123, + 1845 + ], + [ + 7932, + 10323 + ], + [ + 3078, + 9766 + ], + [ + 1053, + 8168 + ], + [ + 2166, + 10438 + ], + [ + 4470, + 5789 + ], + [ + 796, + 3816 + ], + [ + 205, + 3348 + ], + [ + 3343, + 7970 + ], + [ + 896, + 10813 + ], + [ + 2634, + 3309 + ], + [ + 1574, + 4083 + ], + [ + 2919, + 5922 + ], + [ + 2064, + 7128 + ], + [ + 7079, + 10794 + ], + [ + 10289, + 11320 + ], + [ + 1217, + 2533 + ], + [ + 7130, + 10759 + ], + [ + 2997, + 4300 + ], + [ + 227, + 1794 + ], + [ + 631, + 1655 + ], + [ + 4674, + 9352 + ], + [ + 2377, + 9510 + ], + [ + 7695, + 9979 + ], + [ + 1814, + 10336 + ], + [ + 905, + 10525 + ], + [ + 243, + 5710 + ], + [ + 3797, + 6046 + ], + [ + 1300, + 11054 + ], + [ + 2148, + 6425 + ], + [ + 1212, + 2539 + ], + [ + 1672, + 9879 + ], + [ + 1864, + 10049 + ], + [ + 5601, + 10092 + ], + [ + 5121, + 6257 + ], + [ + 4287, + 6031 + ], + [ + 3098, + 3951 + ], + [ + 3005, + 7924 + ], + [ + 1513, + 6035 + ], + [ + 143, + 11491 + ], + [ + 790, + 8858 + ], + [ + 11032, + 11377 + ], + [ + 3067, + 5769 + ], + [ + 138, + 3950 + ], + [ + 296, + 5290 + ], + [ + 1464, + 1605 + ], + [ + 2250, + 2514 + ], + [ + 2962, + 5194 + ], + [ + 1461, + 7723 + ], + [ + 4699, + 10297 + ], + [ + 4570, + 7443 + ], + [ + 5941, + 11257 + ], + [ + 7088, + 7449 + ], + [ + 8118, + 10216 + ], + [ + 5754, + 8398 + ], + [ + 7839, + 11555 + ], + [ + 1296, + 6343 + ], + [ + 7686, + 8307 + ], + [ + 3023, + 5066 + ], + [ + 4449, + 6335 + ], + [ + 3265, + 11015 + ], + [ + 493, + 7682 + ], + [ + 4851, + 10287 + ], + [ + 3879, + 6744 + ], + [ + 173, + 6014 + ], + [ + 489, + 10192 + ], + [ + 1363, + 10948 + ], + [ + 4221, + 9891 + ], + [ + 6432, + 9215 + ], + [ + 2012, + 4978 + ], + [ + 2173, + 9999 + ], + [ + 9580, + 11115 + ], + [ + 179, + 3550 + ], + [ + 1910, + 4701 + ], + [ + 6591, + 6993 + ], + [ + 6708, + 7578 + ], + [ + 9020, + 9206 + ], + [ + 10, + 1297 + ], + [ + 764, + 9838 + ], + [ + 829, + 7981 + ], + [ + 2902, + 8869 + ], + [ + 2532, + 7838 + ], + [ + 3330, + 5374 + ], + [ + 909, + 3022 + ], + [ + 995, + 2042 + ], + [ + 2694, + 11549 + ], + [ + 4926, + 5334 + ], + [ + 7417, + 8425 + ], + [ + 6450, + 9390 + ], + [ + 3402, + 10323 + ], + [ + 7354, + 8076 + ], + [ + 840, + 10772 + ], + [ + 1246, + 2792 + ], + [ + 1870, + 11287 + ], + [ + 1555, + 9963 + ], + [ + 1553, + 3474 + ], + [ + 1403, + 6159 + ], + [ + 1750, + 10404 + ], + [ + 4760, + 10118 + ], + [ + 7216, + 8492 + ], + [ + 327, + 9059 + ], + [ + 1079, + 4722 + ], + [ + 6521, + 6947 + ], + [ + 705, + 2037 + ], + [ + 4086, + 6417 + ], + [ + 761, + 8762 + ], + [ + 7977, + 10310 + ], + [ + 2277, + 2377 + ], + [ + 1380, + 11251 + ], + [ + 2789, + 4215 + ], + [ + 5080, + 11412 + ], + [ + 5169, + 9949 + ], + [ + 2779, + 6910 + ], + [ + 9460, + 11332 + ], + [ + 9585, + 10280 + ], + [ + 1376, + 4312 + ], + [ + 1441, + 4707 + ], + [ + 4452, + 11062 + ], + [ + 5980, + 6192 + ], + [ + 3084, + 4513 + ], + [ + 1672, + 10497 + ], + [ + 2210, + 11304 + ], + [ + 2177, + 8912 + ], + [ + 5317, + 10951 + ], + [ + 1081, + 9275 + ], + [ + 6998, + 9329 + ], + [ + 9463, + 11199 + ], + [ + 208, + 9875 + ], + [ + 1798, + 9266 + ], + [ + 1318, + 5431 + ], + [ + 1261, + 4897 + ], + [ + 5870, + 11285 + ], + [ + 9006, + 9418 + ], + [ + 1193, + 4204 + ], + [ + 2089, + 8691 + ], + [ + 1321, + 6833 + ], + [ + 3458, + 5262 + ], + [ + 1343, + 10564 + ], + [ + 5957, + 10880 + ], + [ + 4985, + 7337 + ], + [ + 1592, + 4852 + ], + [ + 7882, + 9618 + ], + [ + 6010, + 7508 + ], + [ + 31, + 914 + ], + [ + 7322, + 7709 + ], + [ + 5357, + 6162 + ], + [ + 5360, + 9843 + ], + [ + 2743, + 3415 + ], + [ + 4489, + 6352 + ], + [ + 4047, + 6007 + ], + [ + 6347, + 10284 + ], + [ + 5410, + 6173 + ], + [ + 1015, + 3686 + ], + [ + 9043, + 11528 + ], + [ + 206, + 5991 + ], + [ + 7205, + 9002 + ], + [ + 7825, + 7929 + ], + [ + 858, + 7085 + ], + [ + 3220, + 8076 + ], + [ + 7177, + 10337 + ], + [ + 288, + 1078 + ], + [ + 4116, + 6901 + ], + [ + 604, + 9420 + ], + [ + 4644, + 9272 + ], + [ + 6010, + 9736 + ], + [ + 1717, + 8280 + ], + [ + 3460, + 5284 + ], + [ + 2088, + 10667 + ], + [ + 1532, + 6248 + ], + [ + 4579, + 5090 + ], + [ + 6659, + 7149 + ], + [ + 7200, + 8227 + ], + [ + 9514, + 9958 + ], + [ + 6476, + 11579 + ], + [ + 4604, + 10223 + ], + [ + 5652, + 7934 + ], + [ + 2885, + 11361 + ], + [ + 7007, + 11215 + ], + [ + 6087, + 7862 + ], + [ + 9679, + 10934 + ], + [ + 4070, + 9535 + ], + [ + 3165, + 7214 + ], + [ + 6809, + 11230 + ], + [ + 3949, + 11460 + ], + [ + 546, + 4123 + ], + [ + 1239, + 2589 + ], + [ + 2821, + 10787 + ], + [ + 1078, + 7367 + ], + [ + 3373, + 11300 + ], + [ + 1542, + 9945 + ], + [ + 1351, + 6213 + ], + [ + 2976, + 11075 + ], + [ + 2278, + 6603 + ], + [ + 3341, + 6100 + ], + [ + 5123, + 8694 + ], + [ + 238, + 6572 + ], + [ + 3707, + 7389 + ], + [ + 4832, + 7764 + ], + [ + 6846, + 9203 + ], + [ + 6328, + 8274 + ], + [ + 4142, + 10700 + ], + [ + 1835, + 3000 + ], + [ + 3519, + 5059 + ], + [ + 5755, + 7631 + ], + [ + 6073, + 10384 + ], + [ + 969, + 9652 + ], + [ + 3536, + 5413 + ], + [ + 1521, + 7913 + ], + [ + 5840, + 10563 + ], + [ + 2392, + 4207 + ], + [ + 8455, + 9748 + ], + [ + 4260, + 8827 + ], + [ + 6299, + 7879 + ], + [ + 2035, + 9073 + ], + [ + 9376, + 9569 + ], + [ + 547, + 10309 + ], + [ + 1409, + 9550 + ], + [ + 10374, + 11300 + ], + [ + 942, + 4422 + ], + [ + 6079, + 6765 + ], + [ + 8561, + 8989 + ], + [ + 3450, + 5588 + ], + [ + 1927, + 8550 + ], + [ + 3159, + 8822 + ], + [ + 593, + 9499 + ], + [ + 10036, + 10150 + ], + [ + 4962, + 5877 + ], + [ + 299, + 2636 + ], + [ + 6995, + 8090 + ], + [ + 4526, + 8730 + ], + [ + 3686, + 10968 + ], + [ + 769, + 11418 + ], + [ + 2909, + 11276 + ], + [ + 2847, + 7365 + ], + [ + 6548, + 7751 + ], + [ + 5858, + 6550 + ], + [ + 7718, + 11309 + ], + [ + 6761, + 8044 + ], + [ + 9624, + 11495 + ], + [ + 4337, + 6175 + ], + [ + 8913, + 10171 + ], + [ + 312, + 9637 + ], + [ + 5329, + 6960 + ], + [ + 747, + 2395 + ], + [ + 3794, + 8407 + ], + [ + 284, + 1173 + ], + [ + 1624, + 9838 + ], + [ + 373, + 10290 + ], + [ + 1178, + 4833 + ], + [ + 2124, + 7909 + ], + [ + 4663, + 8038 + ], + [ + 5531, + 10477 + ], + [ + 3984, + 4717 + ], + [ + 6348, + 6535 + ], + [ + 1078, + 4602 + ], + [ + 2599, + 9141 + ], + [ + 2320, + 9726 + ], + [ + 2265, + 3603 + ], + [ + 176, + 5962 + ], + [ + 6766, + 8768 + ], + [ + 2041, + 4649 + ], + [ + 7247, + 9041 + ], + [ + 4850, + 11247 + ], + [ + 4434, + 4953 + ], + [ + 6369, + 10795 + ], + [ + 3666, + 9511 + ], + [ + 736, + 2586 + ], + [ + 6057, + 6736 + ], + [ + 5282, + 10123 + ], + [ + 3004, + 7325 + ], + [ + 1877, + 6123 + ], + [ + 4019, + 9814 + ], + [ + 6080, + 7659 + ], + [ + 2873, + 4398 + ], + [ + 2219, + 10024 + ], + [ + 2162, + 3074 + ], + [ + 7167, + 9462 + ], + [ + 3875, + 10035 + ], + [ + 630, + 10454 + ], + [ + 7047, + 7825 + ], + [ + 3685, + 7659 + ], + [ + 5550, + 7844 + ], + [ + 2366, + 9670 + ], + [ + 8527, + 11582 + ], + [ + 9925, + 10803 + ], + [ + 7714, + 9981 + ], + [ + 463, + 5214 + ], + [ + 3978, + 6376 + ], + [ + 9177, + 10351 + ], + [ + 2921, + 4415 + ], + [ + 9046, + 10834 + ], + [ + 2565, + 3090 + ], + [ + 3758, + 8295 + ], + [ + 4260, + 9445 + ], + [ + 4468, + 9394 + ], + [ + 4005, + 8172 + ], + [ + 7737, + 7871 + ], + [ + 7019, + 11038 + ], + [ + 8290, + 11238 + ], + [ + 10505, + 10681 + ], + [ + 3678, + 8716 + ], + [ + 2532, + 7464 + ], + [ + 978, + 11113 + ], + [ + 2150, + 7170 + ], + [ + 2685, + 4296 + ], + [ + 4677, + 10672 + ], + [ + 5057, + 10139 + ], + [ + 2929, + 11072 + ], + [ + 1162, + 7258 + ], + [ + 3190, + 9127 + ], + [ + 3772, + 6099 + ], + [ + 2648, + 10830 + ], + [ + 7346, + 9339 + ], + [ + 1964, + 11329 + ], + [ + 3647, + 4118 + ], + [ + 1150, + 8372 + ], + [ + 1499, + 2864 + ], + [ + 305, + 440 + ], + [ + 4855, + 9631 + ], + [ + 2260, + 11098 + ], + [ + 920, + 2433 + ], + [ + 4720, + 6962 + ], + [ + 6148, + 11310 + ], + [ + 1977, + 2115 + ], + [ + 10359, + 10455 + ], + [ + 1851, + 9358 + ], + [ + 2071, + 7412 + ], + [ + 1916, + 10507 + ], + [ + 5598, + 10089 + ], + [ + 5118, + 7008 + ], + [ + 44, + 9151 + ], + [ + 4661, + 8984 + ], + [ + 1815, + 6668 + ], + [ + 2876, + 9502 + ], + [ + 10482, + 11205 + ], + [ + 6647, + 8375 + ], + [ + 3619, + 7331 + ], + [ + 4216, + 5335 + ], + [ + 909, + 4876 + ], + [ + 547, + 3706 + ], + [ + 7799, + 11327 + ], + [ + 911, + 11338 + ], + [ + 2186, + 6022 + ], + [ + 3239, + 4077 + ], + [ + 2244, + 9410 + ], + [ + 2906, + 8563 + ], + [ + 1433, + 6724 + ], + [ + 7840, + 9823 + ], + [ + 1176, + 2372 + ], + [ + 3858, + 9949 + ], + [ + 1776, + 4811 + ], + [ + 9802, + 11072 + ], + [ + 2860, + 7814 + ], + [ + 2583, + 9980 + ], + [ + 1683, + 8003 + ], + [ + 1141, + 7454 + ], + [ + 3202, + 5299 + ], + [ + 10786, + 11215 + ], + [ + 1959, + 6366 + ], + [ + 1102, + 6745 + ], + [ + 1382, + 9014 + ], + [ + 2636, + 9991 + ], + [ + 3006, + 4606 + ], + [ + 581, + 4764 + ], + [ + 3380, + 10674 + ], + [ + 1945, + 11571 + ], + [ + 1405, + 7685 + ], + [ + 1762, + 6202 + ], + [ + 4496, + 6799 + ], + [ + 7985, + 8992 + ], + [ + 6010, + 10167 + ], + [ + 9755, + 10825 + ], + [ + 7194, + 11122 + ], + [ + 5521, + 6943 + ], + [ + 5547, + 5912 + ], + [ + 5227, + 6496 + ], + [ + 6791, + 7699 + ], + [ + 2243, + 4970 + ], + [ + 407, + 3271 + ], + [ + 3822, + 7235 + ], + [ + 9305, + 10215 + ], + [ + 4785, + 8780 + ], + [ + 5663, + 6245 + ], + [ + 11327, + 11515 + ], + [ + 6336, + 8997 + ], + [ + 3574, + 6352 + ], + [ + 202, + 4744 + ], + [ + 9235, + 11324 + ], + [ + 634, + 10790 + ], + [ + 6981, + 8920 + ], + [ + 7979, + 8022 + ], + [ + 3689, + 7241 + ], + [ + 2290, + 8549 + ], + [ + 3558, + 4314 + ], + [ + 354, + 11150 + ], + [ + 6952, + 7401 + ], + [ + 689, + 7464 + ], + [ + 6287, + 7950 + ], + [ + 318, + 2044 + ], + [ + 3124, + 4961 + ], + [ + 4583, + 8622 + ], + [ + 8900, + 11226 + ], + [ + 696, + 5602 + ], + [ + 2642, + 4463 + ], + [ + 1869, + 2261 + ], + [ + 2736, + 8262 + ], + [ + 1934, + 2656 + ], + [ + 1120, + 11033 + ], + [ + 10514, + 11011 + ], + [ + 10457, + 10477 + ], + [ + 3953, + 5193 + ], + [ + 3667, + 11023 + ], + [ + 2265, + 5644 + ], + [ + 7932, + 11185 + ], + [ + 2333, + 10474 + ], + [ + 4277, + 7010 + ], + [ + 9426, + 10868 + ], + [ + 9135, + 9938 + ], + [ + 1979, + 2025 + ], + [ + 4191, + 4203 + ], + [ + 5808, + 11456 + ], + [ + 4989, + 8155 + ], + [ + 9629, + 9692 + ], + [ + 567, + 1593 + ], + [ + 7421, + 8387 + ], + [ + 664, + 4909 + ], + [ + 4461, + 9167 + ], + [ + 4676, + 6877 + ], + [ + 2938, + 7965 + ], + [ + 407, + 7727 + ], + [ + 2616, + 5470 + ], + [ + 2380, + 3473 + ], + [ + 682, + 3236 + ], + [ + 7071, + 11391 + ], + [ + 3088, + 8663 + ], + [ + 4522, + 9793 + ], + [ + 5293, + 9670 + ], + [ + 8304, + 8855 + ], + [ + 563, + 5207 + ], + [ + 1963, + 7507 + ], + [ + 1485, + 4499 + ], + [ + 179, + 8250 + ], + [ + 8501, + 9369 + ], + [ + 1247, + 5085 + ], + [ + 7372, + 11504 + ], + [ + 4349, + 4388 + ], + [ + 2547, + 10187 + ], + [ + 3266, + 9874 + ], + [ + 1482, + 4201 + ], + [ + 3171, + 10768 + ], + [ + 7396, + 9619 + ], + [ + 920, + 5629 + ], + [ + 3005, + 8786 + ], + [ + 4741, + 11035 + ], + [ + 5305, + 6647 + ], + [ + 5621, + 10825 + ], + [ + 3627, + 7786 + ], + [ + 604, + 7086 + ], + [ + 3809, + 9520 + ], + [ + 196, + 5571 + ], + [ + 3618, + 9952 + ], + [ + 5469, + 11185 + ], + [ + 6238, + 10235 + ], + [ + 2494, + 6769 + ], + [ + 220, + 680 + ], + [ + 4794, + 10265 + ], + [ + 2282, + 5543 + ], + [ + 4584, + 6483 + ], + [ + 320, + 7677 + ], + [ + 7324, + 11032 + ], + [ + 2020, + 3853 + ], + [ + 1145, + 7036 + ], + [ + 1993, + 2407 + ], + [ + 2305, + 3433 + ], + [ + 5063, + 9342 + ], + [ + 4319, + 4872 + ], + [ + 7581, + 8594 + ], + [ + 3014, + 11477 + ], + [ + 91, + 1559 + ], + [ + 120, + 7215 + ], + [ + 4184, + 4455 + ], + [ + 5816, + 10488 + ], + [ + 5128, + 6704 + ], + [ + 3779, + 6621 + ], + [ + 7545, + 11566 + ], + [ + 140, + 1451 + ], + [ + 1449, + 10803 + ], + [ + 5927, + 11258 + ], + [ + 5576, + 10277 + ], + [ + 5340, + 8280 + ], + [ + 2558, + 3505 + ], + [ + 2845, + 6945 + ], + [ + 4206, + 10071 + ], + [ + 2657, + 7648 + ], + [ + 5293, + 7710 + ], + [ + 6242, + 9549 + ], + [ + 2899, + 7181 + ], + [ + 3521, + 9187 + ], + [ + 6570, + 8856 + ], + [ + 1, + 4675 + ], + [ + 468, + 9776 + ], + [ + 3704, + 11523 + ], + [ + 8590, + 10083 + ], + [ + 10990, + 11558 + ], + [ + 4170, + 4348 + ], + [ + 3953, + 5811 + ], + [ + 5381, + 10159 + ], + [ + 1401, + 10358 + ], + [ + 7581, + 10822 + ], + [ + 3878, + 9609 + ], + [ + 2603, + 6257 + ], + [ + 8215, + 11337 + ], + [ + 7491, + 7896 + ], + [ + 4942, + 9708 + ], + [ + 6900, + 10838 + ], + [ + 6124, + 11371 + ], + [ + 735, + 7272 + ], + [ + 895, + 3023 + ], + [ + 4193, + 7900 + ], + [ + 6767, + 11248 + ], + [ + 640, + 1750 + ], + [ + 4437, + 8260 + ], + [ + 2534, + 7591 + ], + [ + 488, + 4362 + ], + [ + 5987, + 7875 + ], + [ + 7241, + 10350 + ], + [ + 10066, + 11065 + ], + [ + 7304, + 8420 + ], + [ + 1043, + 2140 + ], + [ + 4682, + 5812 + ], + [ + 637, + 1452 + ], + [ + 1879, + 2412 + ], + [ + 4186, + 7860 + ], + [ + 7016, + 11171 + ], + [ + 1748, + 3649 + ], + [ + 631, + 3135 + ], + [ + 2812, + 10164 + ], + [ + 9474, + 10372 + ], + [ + 1160, + 6862 + ], + [ + 41, + 9685 + ], + [ + 7601, + 11043 + ], + [ + 7293, + 10890 + ], + [ + 7914, + 9288 + ], + [ + 851, + 8736 + ], + [ + 6947, + 10253 + ], + [ + 9720, + 10778 + ], + [ + 4570, + 6695 + ], + [ + 207, + 7129 + ], + [ + 6187, + 10915 + ], + [ + 7152, + 7625 + ], + [ + 793, + 810 + ], + [ + 2164, + 2372 + ], + [ + 10382, + 11055 + ], + [ + 2624, + 3296 + ], + [ + 4432, + 7111 + ], + [ + 1727, + 5000 + ], + [ + 517, + 8459 + ], + [ + 7798, + 8150 + ], + [ + 2621, + 2998 + ], + [ + 2533, + 9944 + ], + [ + 2083, + 8203 + ], + [ + 6418, + 9858 + ], + [ + 1683, + 5051 + ], + [ + 8004, + 8376 + ], + [ + 4922, + 10479 + ], + [ + 7938, + 10008 + ], + [ + 1046, + 1232 + ], + [ + 6195, + 11506 + ], + [ + 8053, + 8268 + ], + [ + 4942, + 11131 + ], + [ + 4759, + 5762 + ], + [ + 8396, + 8607 + ], + [ + 3907, + 7239 + ], + [ + 3726, + 8359 + ], + [ + 5348, + 9540 + ], + [ + 4121, + 4724 + ], + [ + 865, + 4954 + ], + [ + 20, + 6848 + ], + [ + 8129, + 9202 + ], + [ + 1076, + 2922 + ], + [ + 9407, + 10573 + ], + [ + 7382, + 8221 + ], + [ + 4369, + 5957 + ], + [ + 3061, + 8127 + ], + [ + 2818, + 9123 + ], + [ + 5674, + 11403 + ], + [ + 1665, + 6700 + ], + [ + 5798, + 6743 + ], + [ + 4805, + 8739 + ], + [ + 6112, + 7842 + ], + [ + 899, + 7197 + ], + [ + 4574, + 5608 + ], + [ + 10155, + 11375 + ], + [ + 2520, + 8153 + ], + [ + 3733, + 4211 + ], + [ + 5914, + 11240 + ], + [ + 6463, + 8072 + ], + [ + 962, + 7896 + ], + [ + 5041, + 6922 + ], + [ + 118, + 6982 + ], + [ + 1119, + 4847 + ], + [ + 1585, + 4088 + ], + [ + 4725, + 6127 + ], + [ + 10142, + 10739 + ], + [ + 354, + 1782 + ], + [ + 1640, + 7178 + ], + [ + 348, + 8383 + ], + [ + 2070, + 6762 + ], + [ + 575, + 1192 + ], + [ + 11185, + 11489 + ], + [ + 2904, + 10371 + ], + [ + 1629, + 9271 + ], + [ + 2159, + 5299 + ], + [ + 4034, + 4674 + ], + [ + 259, + 8311 + ], + [ + 393, + 5093 + ], + [ + 3970, + 7133 + ], + [ + 4653, + 10573 + ], + [ + 5025, + 6769 + ], + [ + 7332, + 8053 + ], + [ + 8752, + 11005 + ], + [ + 6449, + 10594 + ], + [ + 5757, + 9320 + ], + [ + 4141, + 11337 + ], + [ + 1593, + 7712 + ], + [ + 2742, + 6229 + ], + [ + 87, + 9897 + ], + [ + 9082, + 9604 + ], + [ + 6064, + 9248 + ], + [ + 10701, + 11268 + ], + [ + 4576, + 4849 + ], + [ + 10014, + 10338 + ], + [ + 1394, + 3338 + ], + [ + 6034, + 11291 + ], + [ + 2732, + 8170 + ], + [ + 4845, + 6959 + ], + [ + 2393, + 4540 + ], + [ + 531, + 3872 + ], + [ + 464, + 2650 + ], + [ + 5808, + 8504 + ], + [ + 6243, + 8432 + ], + [ + 1888, + 9508 + ], + [ + 742, + 8256 + ], + [ + 1889, + 10110 + ], + [ + 3004, + 9797 + ], + [ + 2080, + 3262 + ], + [ + 3004, + 3381 + ], + [ + 4626, + 10978 + ], + [ + 5185, + 6246 + ], + [ + 6546, + 9372 + ], + [ + 6303, + 9614 + ], + [ + 6420, + 10953 + ], + [ + 950, + 5926 + ], + [ + 1387, + 2517 + ], + [ + 9876, + 10754 + ], + [ + 5490, + 10265 + ], + [ + 886, + 1969 + ], + [ + 6603, + 6873 + ], + [ + 1697, + 10290 + ], + [ + 849, + 2087 + ], + [ + 1150, + 5233 + ], + [ + 4771, + 7545 + ], + [ + 619, + 8980 + ], + [ + 7349, + 7602 + ], + [ + 9835, + 10349 + ], + [ + 4257, + 8263 + ], + [ + 9129, + 9369 + ], + [ + 4014, + 9259 + ], + [ + 955, + 1732 + ], + [ + 4017, + 8776 + ], + [ + 3834, + 9823 + ], + [ + 6057, + 11436 + ], + [ + 4603, + 5867 + ], + [ + 150, + 6408 + ], + [ + 4792, + 8772 + ], + [ + 740, + 989 + ], + [ + 5122, + 10404 + ], + [ + 304, + 3842 + ], + [ + 2446, + 7533 + ], + [ + 3822, + 9439 + ], + [ + 7060, + 7849 + ], + [ + 4371, + 5517 + ], + [ + 4474, + 7150 + ], + [ + 3853, + 4588 + ], + [ + 5370, + 7473 + ], + [ + 7837, + 10924 + ], + [ + 2013, + 7651 + ], + [ + 1390, + 8426 + ], + [ + 3773, + 8042 + ], + [ + 9108, + 10370 + ], + [ + 10032, + 11243 + ], + [ + 8103, + 8599 + ], + [ + 1719, + 10587 + ], + [ + 3372, + 4665 + ], + [ + 8731, + 11551 + ], + [ + 973, + 6044 + ], + [ + 1721, + 10633 + ], + [ + 5086, + 8064 + ], + [ + 4086, + 6637 + ], + [ + 1211, + 1671 + ], + [ + 6164, + 7869 + ], + [ + 4612, + 5929 + ], + [ + 5438, + 5513 + ], + [ + 5689, + 9296 + ], + [ + 3892, + 9023 + ], + [ + 3235, + 4552 + ], + [ + 2483, + 8889 + ], + [ + 972, + 9202 + ], + [ + 119, + 7071 + ], + [ + 4912, + 9604 + ], + [ + 559, + 927 + ], + [ + 1639, + 7975 + ], + [ + 2019, + 7442 + ], + [ + 1355, + 8216 + ], + [ + 28, + 11090 + ], + [ + 1019, + 8267 + ], + [ + 5088, + 10769 + ], + [ + 5939, + 9821 + ], + [ + 490, + 6425 + ], + [ + 7771, + 8368 + ], + [ + 238, + 4669 + ], + [ + 3414, + 6365 + ], + [ + 10936, + 11403 + ], + [ + 2197, + 2991 + ], + [ + 669, + 4855 + ], + [ + 2006, + 3423 + ], + [ + 1782, + 10131 + ], + [ + 6830, + 7521 + ], + [ + 3318, + 10040 + ], + [ + 10224, + 10608 + ], + [ + 9276, + 10869 + ], + [ + 5081, + 9948 + ], + [ + 15, + 9700 + ], + [ + 7792, + 9595 + ], + [ + 4055, + 9552 + ], + [ + 4648, + 10066 + ], + [ + 1030, + 5773 + ], + [ + 751, + 6358 + ], + [ + 9030, + 10813 + ], + [ + 10926, + 11065 + ], + [ + 3369, + 9224 + ], + [ + 2671, + 4752 + ], + [ + 1306, + 10552 + ], + [ + 2844, + 7124 + ], + [ + 486, + 1364 + ], + [ + 7245, + 11304 + ], + [ + 1245, + 10249 + ], + [ + 4624, + 11550 + ], + [ + 4161, + 10328 + ], + [ + 6277, + 7880 + ], + [ + 895, + 3454 + ], + [ + 2455, + 9419 + ], + [ + 6526, + 8584 + ], + [ + 2228, + 4532 + ], + [ + 6775, + 9288 + ], + [ + 3941, + 11493 + ], + [ + 8113, + 10710 + ], + [ + 6155, + 10334 + ], + [ + 5804, + 8599 + ], + [ + 5962, + 9939 + ], + [ + 1762, + 8674 + ], + [ + 3928, + 9753 + ], + [ + 8172, + 11290 + ], + [ + 99, + 10875 + ], + [ + 3745, + 4384 + ], + [ + 498, + 8140 + ], + [ + 1098, + 6415 + ], + [ + 4026, + 10261 + ], + [ + 4109, + 5600 + ], + [ + 528, + 3818 + ], + [ + 1971, + 2782 + ], + [ + 8944, + 10988 + ], + [ + 2991, + 9779 + ], + [ + 2051, + 10655 + ], + [ + 1278, + 8453 + ], + [ + 3950, + 8172 + ], + [ + 8931, + 10002 + ], + [ + 10021, + 11322 + ], + [ + 4880, + 5073 + ], + [ + 865, + 9223 + ], + [ + 891, + 8192 + ], + [ + 7269, + 8641 + ], + [ + 672, + 3166 + ], + [ + 1379, + 4748 + ], + [ + 4723, + 10724 + ], + [ + 3030, + 4415 + ], + [ + 5239, + 9328 + ], + [ + 4530, + 4667 + ], + [ + 5335, + 9036 + ], + [ + 6952, + 9873 + ], + [ + 2821, + 4241 + ], + [ + 1633, + 5015 + ], + [ + 7980, + 10315 + ], + [ + 8790, + 9366 + ], + [ + 7792, + 11018 + ], + [ + 9323, + 9829 + ], + [ + 1252, + 6077 + ], + [ + 3404, + 9702 + ], + [ + 3461, + 10236 + ], + [ + 4710, + 6705 + ], + [ + 1651, + 3342 + ], + [ + 407, + 1555 + ], + [ + 5669, + 8508 + ], + [ + 5263, + 7820 + ], + [ + 2033, + 9271 + ], + [ + 1345, + 5487 + ], + [ + 221, + 7966 + ], + [ + 97, + 10374 + ], + [ + 1809, + 8065 + ], + [ + 1802, + 6894 + ], + [ + 3462, + 4395 + ], + [ + 3670, + 10760 + ], + [ + 4633, + 10807 + ], + [ + 7491, + 9750 + ], + [ + 2952, + 8265 + ], + [ + 8922, + 11363 + ], + [ + 9794, + 11292 + ], + [ + 4190, + 10237 + ], + [ + 2669, + 5698 + ], + [ + 1803, + 6715 + ], + [ + 246, + 267 + ], + [ + 832, + 3774 + ], + [ + 7363, + 7471 + ], + [ + 5215, + 10381 + ], + [ + 2128, + 11386 + ], + [ + 6868, + 10875 + ], + [ + 4399, + 10761 + ], + [ + 1792, + 5775 + ], + [ + 796, + 1084 + ], + [ + 1542, + 9010 + ], + [ + 2539, + 10139 + ], + [ + 1464, + 9127 + ], + [ + 2307, + 10570 + ], + [ + 5579, + 7810 + ], + [ + 3738, + 8019 + ], + [ + 1159, + 2075 + ], + [ + 4959, + 6604 + ], + [ + 3954, + 6331 + ], + [ + 10645, + 11441 + ], + [ + 310, + 817 + ], + [ + 4451, + 7137 + ], + [ + 2863, + 5540 + ], + [ + 1061, + 11339 + ], + [ + 7910, + 11373 + ], + [ + 1121, + 2722 + ], + [ + 2433, + 9339 + ], + [ + 5846, + 6060 + ], + [ + 4108, + 7148 + ], + [ + 3920, + 7851 + ], + [ + 1484, + 4467 + ], + [ + 3824, + 10772 + ], + [ + 7890, + 9593 + ], + [ + 2658, + 3980 + ], + [ + 5345, + 5485 + ], + [ + 4782, + 6311 + ], + [ + 2918, + 8980 + ], + [ + 630, + 1330 + ], + [ + 1848, + 1896 + ], + [ + 3625, + 6398 + ], + [ + 2384, + 8292 + ], + [ + 1691, + 4164 + ], + [ + 4985, + 10053 + ], + [ + 7909, + 9993 + ], + [ + 724, + 2096 + ], + [ + 3746, + 5577 + ], + [ + 3837, + 4941 + ], + [ + 3949, + 5182 + ], + [ + 463, + 2506 + ], + [ + 9277, + 11257 + ], + [ + 3761, + 5885 + ], + [ + 242, + 817 + ], + [ + 10243, + 10821 + ], + [ + 4973, + 8888 + ], + [ + 372, + 6525 + ], + [ + 5690, + 11158 + ], + [ + 1764, + 2548 + ], + [ + 530, + 1449 + ], + [ + 5006, + 8247 + ], + [ + 980, + 8101 + ], + [ + 1014, + 6931 + ], + [ + 1580, + 3370 + ], + [ + 7424, + 9547 + ], + [ + 8272, + 11334 + ], + [ + 6300, + 6364 + ], + [ + 2403, + 2656 + ], + [ + 2408, + 3000 + ], + [ + 3381, + 9397 + ], + [ + 8644, + 10159 + ], + [ + 3130, + 5614 + ], + [ + 4967, + 8669 + ], + [ + 855, + 3087 + ], + [ + 7329, + 9660 + ], + [ + 4094, + 8515 + ], + [ + 3717, + 8565 + ], + [ + 7110, + 8798 + ], + [ + 5790, + 11338 + ], + [ + 2367, + 5978 + ], + [ + 8236, + 8270 + ], + [ + 7525, + 9198 + ], + [ + 4349, + 5250 + ], + [ + 8120, + 10539 + ], + [ + 3581, + 9808 + ], + [ + 1243, + 2795 + ], + [ + 7055, + 10969 + ], + [ + 5226, + 5523 + ], + [ + 8169, + 10431 + ], + [ + 4724, + 7756 + ], + [ + 7158, + 11067 + ], + [ + 434, + 9981 + ], + [ + 262, + 4801 + ], + [ + 3293, + 9526 + ], + [ + 4838, + 8797 + ], + [ + 7145, + 10081 + ], + [ + 3867, + 8108 + ], + [ + 2654, + 4880 + ], + [ + 4030, + 9038 + ], + [ + 7228, + 8803 + ], + [ + 2930, + 3997 + ], + [ + 2532, + 7334 + ], + [ + 8313, + 9779 + ], + [ + 4388, + 10439 + ], + [ + 2933, + 11061 + ], + [ + 5665, + 11585 + ], + [ + 3084, + 4814 + ], + [ + 10236, + 11073 + ], + [ + 4136, + 9814 + ], + [ + 4003, + 10224 + ], + [ + 5314, + 7571 + ], + [ + 4763, + 9912 + ], + [ + 902, + 8113 + ], + [ + 245, + 2888 + ], + [ + 608, + 7666 + ], + [ + 8044, + 10678 + ], + [ + 4592, + 7586 + ], + [ + 3783, + 11389 + ], + [ + 4344, + 7484 + ], + [ + 6214, + 8767 + ], + [ + 1577, + 10911 + ], + [ + 949, + 4926 + ], + [ + 1828, + 1862 + ], + [ + 5253, + 6514 + ], + [ + 5831, + 5996 + ], + [ + 1142, + 7950 + ], + [ + 9108, + 9996 + ], + [ + 5001, + 8922 + ], + [ + 1732, + 4783 + ], + [ + 4614, + 8284 + ], + [ + 8077, + 9256 + ], + [ + 3968, + 5103 + ], + [ + 4740, + 10086 + ], + [ + 7482, + 9046 + ], + [ + 2561, + 11431 + ], + [ + 591, + 8786 + ], + [ + 1750, + 8745 + ], + [ + 2431, + 4942 + ], + [ + 1182, + 2811 + ], + [ + 2240, + 6128 + ], + [ + 5034, + 6776 + ], + [ + 3664, + 6570 + ], + [ + 4875, + 5965 + ], + [ + 1703, + 5142 + ], + [ + 2272, + 7514 + ], + [ + 6687, + 10653 + ], + [ + 6656, + 11340 + ], + [ + 990, + 9407 + ], + [ + 8208, + 11028 + ], + [ + 5405, + 6130 + ], + [ + 5150, + 11273 + ], + [ + 3716, + 9362 + ], + [ + 7293, + 11402 + ], + [ + 2819, + 11066 + ], + [ + 2260, + 7130 + ], + [ + 1539, + 7370 + ], + [ + 4400, + 9994 + ], + [ + 921, + 2073 + ], + [ + 2042, + 11374 + ], + [ + 5274, + 9969 + ], + [ + 7915, + 8123 + ], + [ + 2490, + 8531 + ], + [ + 597, + 8550 + ], + [ + 2092, + 7704 + ], + [ + 1657, + 2114 + ], + [ + 4961, + 8691 + ], + [ + 7817, + 10217 + ], + [ + 653, + 3197 + ], + [ + 2337, + 5256 + ], + [ + 721, + 7273 + ], + [ + 4730, + 5560 + ], + [ + 4221, + 6622 + ], + [ + 680, + 4239 + ], + [ + 7711, + 10171 + ], + [ + 1539, + 9598 + ], + [ + 835, + 4527 + ], + [ + 1915, + 11575 + ], + [ + 9819, + 11245 + ], + [ + 2730, + 5308 + ], + [ + 5813, + 6059 + ], + [ + 235, + 10389 + ], + [ + 4779, + 5802 + ], + [ + 295, + 4778 + ], + [ + 1158, + 6873 + ], + [ + 2806, + 9275 + ], + [ + 2407, + 2588 + ], + [ + 5584, + 10144 + ], + [ + 8445, + 9762 + ], + [ + 506, + 6129 + ], + [ + 3236, + 5072 + ], + [ + 5438, + 6562 + ], + [ + 1095, + 2737 + ], + [ + 5444, + 9760 + ], + [ + 6755, + 7107 + ], + [ + 1526, + 5175 + ], + [ + 6197, + 8277 + ], + [ + 7195, + 7379 + ], + [ + 1, + 7310 + ], + [ + 4636, + 10755 + ], + [ + 6790, + 9545 + ], + [ + 4135, + 4545 + ], + [ + 9826, + 10480 + ], + [ + 2768, + 3856 + ], + [ + 7711, + 9366 + ], + [ + 2950, + 9000 + ], + [ + 25, + 5425 + ], + [ + 3130, + 7655 + ], + [ + 514, + 11251 + ], + [ + 5751, + 10792 + ], + [ + 2790, + 4554 + ], + [ + 6730, + 10618 + ], + [ + 792, + 4025 + ], + [ + 951, + 8219 + ], + [ + 1818, + 8558 + ], + [ + 8602, + 9695 + ], + [ + 3050, + 8830 + ], + [ + 4735, + 7327 + ], + [ + 1034, + 7695 + ], + [ + 4697, + 11007 + ], + [ + 5416, + 10694 + ], + [ + 1464, + 6525 + ], + [ + 404, + 7299 + ], + [ + 2202, + 10426 + ], + [ + 8910, + 10979 + ], + [ + 2899, + 5628 + ], + [ + 3149, + 11438 + ], + [ + 1458, + 8962 + ], + [ + 9431, + 9927 + ], + [ + 6566, + 9813 + ], + [ + 4658, + 8800 + ], + [ + 4704, + 9145 + ], + [ + 4539, + 6634 + ], + [ + 7376, + 8864 + ], + [ + 3205, + 6085 + ], + [ + 2709, + 8887 + ], + [ + 431, + 6089 + ], + [ + 1259, + 2336 + ], + [ + 4450, + 5064 + ], + [ + 168, + 791 + ], + [ + 5840, + 6676 + ], + [ + 4834, + 6932 + ], + [ + 6344, + 7118 + ], + [ + 6019, + 11522 + ], + [ + 489, + 2280 + ], + [ + 2540, + 3601 + ], + [ + 4842, + 10957 + ], + [ + 348, + 2829 + ], + [ + 728, + 2296 + ], + [ + 382, + 1659 + ], + [ + 6328, + 6615 + ], + [ + 7535, + 8520 + ], + [ + 797, + 3564 + ], + [ + 3961, + 10161 + ], + [ + 9539, + 9995 + ], + [ + 5955, + 6784 + ], + [ + 9372, + 11575 + ], + [ + 3589, + 8303 + ], + [ + 2431, + 7788 + ], + [ + 3773, + 10864 + ], + [ + 1968, + 10730 + ], + [ + 947, + 10678 + ], + [ + 402, + 6448 + ], + [ + 1754, + 6048 + ], + [ + 10114, + 11431 + ], + [ + 5725, + 7261 + ], + [ + 5298, + 5696 + ], + [ + 2125, + 7681 + ], + [ + 6136, + 6795 + ], + [ + 6683, + 6964 + ], + [ + 6065, + 8083 + ], + [ + 158, + 9471 + ], + [ + 8741, + 10173 + ], + [ + 298, + 8727 + ], + [ + 4138, + 5485 + ], + [ + 9328, + 10872 + ], + [ + 1052, + 10098 + ], + [ + 460, + 6022 + ], + [ + 1489, + 4437 + ], + [ + 3734, + 4089 + ], + [ + 1210, + 5022 + ], + [ + 2325, + 11125 + ], + [ + 297, + 7721 + ], + [ + 3284, + 6512 + ], + [ + 577, + 8492 + ], + [ + 2559, + 2846 + ], + [ + 5986, + 8325 + ], + [ + 6736, + 9577 + ], + [ + 10003, + 10637 + ], + [ + 571, + 3759 + ], + [ + 1968, + 6542 + ], + [ + 980, + 2466 + ], + [ + 4183, + 8237 + ], + [ + 5704, + 8612 + ], + [ + 977, + 7830 + ], + [ + 4425, + 7770 + ], + [ + 3769, + 6153 + ], + [ + 6260, + 9998 + ], + [ + 2767, + 3899 + ], + [ + 1619, + 8990 + ], + [ + 5299, + 7745 + ], + [ + 347, + 10817 + ], + [ + 774, + 10884 + ], + [ + 9423, + 9954 + ], + [ + 7561, + 9286 + ], + [ + 1210, + 7250 + ], + [ + 699, + 1850 + ], + [ + 241, + 972 + ], + [ + 2768, + 4474 + ], + [ + 7989, + 11426 + ], + [ + 4226, + 10162 + ], + [ + 1539, + 2995 + ], + [ + 2882, + 11177 + ], + [ + 7240, + 7366 + ], + [ + 1168, + 3991 + ], + [ + 4554, + 9469 + ], + [ + 925, + 10649 + ], + [ + 1350, + 3473 + ], + [ + 6733, + 9255 + ], + [ + 5024, + 11081 + ], + [ + 2285, + 7888 + ], + [ + 1075, + 11347 + ], + [ + 887, + 11296 + ], + [ + 4275, + 7021 + ], + [ + 758, + 2780 + ], + [ + 6826, + 8665 + ], + [ + 702, + 11516 + ], + [ + 10427, + 11099 + ], + [ + 7916, + 9985 + ], + [ + 7446, + 7592 + ], + [ + 5536, + 9162 + ], + [ + 4144, + 5225 + ], + [ + 1300, + 5988 + ], + [ + 2488, + 10095 + ], + [ + 2142, + 3042 + ], + [ + 2295, + 10454 + ], + [ + 7496, + 10338 + ], + [ + 6775, + 7572 + ], + [ + 1059, + 6276 + ], + [ + 9266, + 11417 + ], + [ + 998, + 8252 + ], + [ + 5533, + 5831 + ], + [ + 9638, + 10242 + ], + [ + 2009, + 6835 + ], + [ + 6398, + 11005 + ], + [ + 5658, + 11195 + ], + [ + 2068, + 5163 + ], + [ + 7150, + 10051 + ], + [ + 636, + 3325 + ], + [ + 2408, + 8237 + ], + [ + 9290, + 9909 + ], + [ + 7228, + 8429 + ], + [ + 1877, + 4814 + ], + [ + 9060, + 10386 + ], + [ + 1746, + 1887 + ], + [ + 1090, + 6686 + ], + [ + 5004, + 5867 + ], + [ + 814, + 5290 + ], + [ + 7476, + 8908 + ], + [ + 1316, + 6440 + ], + [ + 1526, + 7216 + ], + [ + 5015, + 9409 + ], + [ + 2873, + 6472 + ], + [ + 7160, + 10365 + ], + [ + 4137, + 9665 + ], + [ + 3149, + 11251 + ], + [ + 2676, + 9341 + ], + [ + 3041, + 7776 + ], + [ + 5700, + 7233 + ], + [ + 552, + 10393 + ], + [ + 3568, + 9922 + ], + [ + 796, + 6589 + ], + [ + 9271, + 10956 + ], + [ + 519, + 1585 + ], + [ + 1205, + 5296 + ], + [ + 9109, + 10628 + ], + [ + 8489, + 10920 + ], + [ + 6739, + 10493 + ], + [ + 2169, + 8197 + ], + [ + 4373, + 5596 + ], + [ + 882, + 2576 + ], + [ + 3412, + 6349 + ], + [ + 8166, + 8954 + ], + [ + 2660, + 4270 + ], + [ + 3284, + 10513 + ], + [ + 9889, + 10187 + ], + [ + 7981, + 9174 + ], + [ + 3967, + 4127 + ], + [ + 13, + 5547 + ], + [ + 1498, + 4013 + ], + [ + 11026, + 11353 + ], + [ + 9940, + 10906 + ], + [ + 1284, + 3495 + ], + [ + 1502, + 11302 + ], + [ + 3548, + 8115 + ], + [ + 3085, + 6139 + ], + [ + 2777, + 8238 + ], + [ + 1404, + 2099 + ], + [ + 282, + 1241 + ], + [ + 3903, + 9969 + ], + [ + 4020, + 4138 + ], + [ + 10494, + 11465 + ], + [ + 3015, + 4619 + ], + [ + 1285, + 9732 + ], + [ + 2930, + 6201 + ], + [ + 5421, + 10046 + ], + [ + 5882, + 8189 + ], + [ + 7186, + 10781 + ], + [ + 92, + 10916 + ], + [ + 4631, + 5231 + ], + [ + 157, + 9059 + ], + [ + 2454, + 9655 + ], + [ + 928, + 2520 + ], + [ + 4566, + 8219 + ], + [ + 6255, + 10622 + ], + [ + 916, + 10804 + ], + [ + 1939, + 10902 + ], + [ + 1627, + 2679 + ], + [ + 2043, + 8973 + ], + [ + 8080, + 8375 + ], + [ + 2166, + 6340 + ], + [ + 853, + 6668 + ], + [ + 820, + 10692 + ], + [ + 414, + 5840 + ], + [ + 3365, + 4974 + ], + [ + 5768, + 10130 + ], + [ + 5448, + 10714 + ], + [ + 7571, + 9437 + ], + [ + 4980, + 9148 + ], + [ + 2595, + 6453 + ], + [ + 3682, + 10508 + ], + [ + 3773, + 9872 + ], + [ + 370, + 2535 + ], + [ + 5672, + 7389 + ], + [ + 2802, + 9183 + ], + [ + 9739, + 11316 + ], + [ + 1747, + 8049 + ], + [ + 470, + 3116 + ], + [ + 4081, + 11156 + ], + [ + 5602, + 11531 + ], + [ + 1562, + 7515 + ], + [ + 8561, + 10526 + ], + [ + 1581, + 5313 + ], + [ + 1175, + 4625 + ], + [ + 4736, + 9138 + ], + [ + 3578, + 6371 + ], + [ + 1047, + 5379 + ], + [ + 400, + 1596 + ], + [ + 5157, + 10134 + ], + [ + 3949, + 8004 + ], + [ + 5384, + 7107 + ], + [ + 1490, + 2916 + ], + [ + 7682, + 10557 + ], + [ + 4005, + 11319 + ], + [ + 239, + 4122 + ], + [ + 1020, + 4687 + ], + [ + 1524, + 1746 + ], + [ + 9763, + 9808 + ], + [ + 4448, + 8856 + ], + [ + 274, + 6560 + ], + [ + 2977, + 7844 + ], + [ + 1012, + 3291 + ], + [ + 6125, + 7492 + ], + [ + 1312, + 6966 + ], + [ + 5176, + 8282 + ], + [ + 2903, + 8834 + ], + [ + 317, + 8135 + ], + [ + 5174, + 7455 + ], + [ + 8795, + 9767 + ], + [ + 411, + 4764 + ], + [ + 1011, + 9455 + ], + [ + 4280, + 7178 + ], + [ + 311, + 1150 + ], + [ + 1596, + 3692 + ], + [ + 1867, + 3963 + ], + [ + 1846, + 3086 + ], + [ + 4112, + 8533 + ], + [ + 1242, + 1659 + ], + [ + 4638, + 7825 + ], + [ + 5166, + 10196 + ], + [ + 1245, + 1930 + ], + [ + 3736, + 9185 + ], + [ + 6069, + 9438 + ], + [ + 2218, + 8327 + ], + [ + 5193, + 5603 + ], + [ + 1428, + 10682 + ], + [ + 1110, + 5677 + ], + [ + 5624, + 8041 + ], + [ + 5025, + 7712 + ], + [ + 2908, + 5771 + ], + [ + 6565, + 9992 + ], + [ + 514, + 7494 + ], + [ + 6771, + 7616 + ], + [ + 298, + 3897 + ], + [ + 3563, + 10546 + ], + [ + 2477, + 5935 + ], + [ + 2379, + 2394 + ], + [ + 362, + 11237 + ], + [ + 1014, + 2532 + ], + [ + 782, + 2963 + ], + [ + 2502, + 6931 + ], + [ + 1592, + 8430 + ], + [ + 5389, + 8524 + ], + [ + 1810, + 9821 + ], + [ + 6701, + 8725 + ], + [ + 8, + 2788 + ], + [ + 5916, + 11424 + ], + [ + 7786, + 9701 + ], + [ + 6162, + 8447 + ], + [ + 6886, + 7724 + ], + [ + 6447, + 11060 + ], + [ + 4360, + 7830 + ], + [ + 1528, + 3692 + ], + [ + 6354, + 8617 + ], + [ + 5449, + 6296 + ], + [ + 6101, + 10423 + ], + [ + 5416, + 10320 + ], + [ + 1964, + 4222 + ], + [ + 5847, + 6342 + ], + [ + 921, + 1967 + ], + [ + 833, + 6284 + ], + [ + 3675, + 4694 + ], + [ + 4974, + 6188 + ], + [ + 3912, + 10299 + ], + [ + 8435, + 10497 + ], + [ + 7026, + 10363 + ], + [ + 4841, + 10762 + ], + [ + 3535, + 7343 + ], + [ + 5508, + 9505 + ], + [ + 2263, + 3508 + ], + [ + 304, + 9323 + ], + [ + 2329, + 5259 + ], + [ + 3506, + 5824 + ], + [ + 856, + 9836 + ], + [ + 3344, + 7748 + ], + [ + 6341, + 7227 + ], + [ + 3530, + 3966 + ], + [ + 5455, + 9120 + ], + [ + 7366, + 10404 + ], + [ + 611, + 7753 + ], + [ + 5764, + 10629 + ], + [ + 1600, + 4103 + ], + [ + 3378, + 9961 + ], + [ + 2377, + 5680 + ], + [ + 410, + 6716 + ], + [ + 6136, + 9454 + ], + [ + 6104, + 9916 + ], + [ + 2331, + 7964 + ], + [ + 3329, + 6312 + ], + [ + 1063, + 1619 + ], + [ + 6625, + 8864 + ], + [ + 2056, + 9422 + ], + [ + 5165, + 5732 + ], + [ + 3262, + 4309 + ], + [ + 5851, + 8689 + ], + [ + 6231, + 8910 + ], + [ + 6281, + 8273 + ], + [ + 7843, + 8649 + ], + [ + 5531, + 7021 + ], + [ + 985, + 5119 + ], + [ + 6308, + 10096 + ], + [ + 1717, + 9175 + ], + [ + 3443, + 10736 + ], + [ + 81, + 9816 + ], + [ + 1139, + 2553 + ], + [ + 125, + 10088 + ], + [ + 2019, + 6507 + ], + [ + 1427, + 2431 + ], + [ + 9114, + 9980 + ], + [ + 2695, + 3114 + ], + [ + 1392, + 10546 + ], + [ + 8823, + 9050 + ], + [ + 2510, + 3334 + ], + [ + 9879, + 11540 + ], + [ + 2631, + 4792 + ], + [ + 40, + 3749 + ], + [ + 4365, + 10378 + ], + [ + 886, + 2457 + ], + [ + 8045, + 9887 + ], + [ + 5144, + 10116 + ], + [ + 5853, + 8361 + ], + [ + 1591, + 6218 + ], + [ + 9383, + 10555 + ], + [ + 691, + 1989 + ], + [ + 2314, + 6024 + ], + [ + 6347, + 8869 + ], + [ + 2116, + 5285 + ], + [ + 9927, + 10426 + ], + [ + 4139, + 6810 + ], + [ + 120, + 8589 + ], + [ + 2000, + 7554 + ], + [ + 4975, + 11246 + ], + [ + 1778, + 3011 + ], + [ + 1301, + 2857 + ], + [ + 2949, + 9423 + ], + [ + 6120, + 6611 + ], + [ + 185, + 10115 + ], + [ + 1547, + 3263 + ], + [ + 3105, + 6903 + ], + [ + 6174, + 10230 + ], + [ + 2639, + 11045 + ], + [ + 203, + 7661 + ], + [ + 2104, + 7503 + ], + [ + 2159, + 7210 + ], + [ + 2823, + 7190 + ], + [ + 3098, + 9115 + ], + [ + 5183, + 11518 + ], + [ + 135, + 6214 + ], + [ + 257, + 7143 + ], + [ + 9969, + 10628 + ], + [ + 3923, + 8474 + ], + [ + 4647, + 8505 + ], + [ + 6486, + 7469 + ], + [ + 6699, + 8516 + ], + [ + 3115, + 9469 + ], + [ + 873, + 9334 + ], + [ + 6827, + 11145 + ], + [ + 9119, + 11397 + ], + [ + 3360, + 7021 + ], + [ + 10715, + 11357 + ], + [ + 2202, + 4254 + ], + [ + 7931, + 9919 + ], + [ + 4045, + 4091 + ], + [ + 7460, + 8055 + ], + [ + 390, + 6332 + ], + [ + 3361, + 6842 + ], + [ + 2055, + 4177 + ], + [ + 1210, + 6071 + ], + [ + 3696, + 8818 + ], + [ + 2630, + 9023 + ], + [ + 9390, + 9766 + ], + [ + 5966, + 8722 + ], + [ + 8602, + 8784 + ], + [ + 2475, + 5702 + ], + [ + 1270, + 9505 + ], + [ + 6299, + 7619 + ], + [ + 5583, + 8203 + ], + [ + 2818, + 6041 + ], + [ + 3871, + 4096 + ], + [ + 8045, + 11310 + ], + [ + 9011, + 10120 + ], + [ + 697, + 6610 + ], + [ + 1807, + 5953 + ], + [ + 3436, + 8305 + ], + [ + 6047, + 10000 + ], + [ + 5292, + 8404 + ], + [ + 9495, + 9940 + ], + [ + 8872, + 10715 + ], + [ + 2862, + 8218 + ], + [ + 3614, + 3881 + ], + [ + 4453, + 7834 + ], + [ + 6311, + 11012 + ], + [ + 36, + 1616 + ], + [ + 3668, + 4117 + ], + [ + 740, + 2900 + ], + [ + 4872, + 5724 + ], + [ + 4976, + 10211 + ], + [ + 671, + 4234 + ], + [ + 3499, + 10882 + ], + [ + 6647, + 10530 + ], + [ + 3073, + 5755 + ], + [ + 4989, + 6659 + ], + [ + 3283, + 6504 + ], + [ + 2368, + 3495 + ], + [ + 1781, + 10343 + ], + [ + 3830, + 6673 + ], + [ + 602, + 2535 + ], + [ + 6111, + 10900 + ], + [ + 2775, + 5539 + ], + [ + 2926, + 4954 + ], + [ + 4923, + 5258 + ], + [ + 1220, + 4799 + ], + [ + 4363, + 10519 + ], + [ + 1777, + 9820 + ], + [ + 8434, + 9684 + ], + [ + 5225, + 9760 + ], + [ + 4509, + 10344 + ], + [ + 363, + 2145 + ], + [ + 11135, + 11272 + ], + [ + 5132, + 6536 + ], + [ + 3193, + 3204 + ], + [ + 5309, + 11336 + ], + [ + 496, + 11534 + ], + [ + 7454, + 8128 + ], + [ + 9630, + 10649 + ], + [ + 5837, + 10674 + ], + [ + 5966, + 7112 + ], + [ + 1935, + 6622 + ], + [ + 1100, + 9204 + ], + [ + 642, + 8326 + ], + [ + 8577, + 8807 + ], + [ + 4439, + 8420 + ], + [ + 1946, + 4502 + ], + [ + 948, + 5400 + ], + [ + 543, + 7566 + ], + [ + 7107, + 11403 + ], + [ + 8354, + 10455 + ], + [ + 5575, + 5951 + ], + [ + 6815, + 10248 + ], + [ + 2858, + 6489 + ], + [ + 4337, + 11526 + ], + [ + 3303, + 6351 + ], + [ + 7661, + 8956 + ], + [ + 2863, + 10216 + ], + [ + 4888, + 6152 + ], + [ + 8145, + 8776 + ], + [ + 1056, + 2839 + ], + [ + 4292, + 11002 + ], + [ + 4879, + 8318 + ], + [ + 5346, + 10413 + ], + [ + 3508, + 10139 + ], + [ + 3193, + 8815 + ], + [ + 2076, + 8301 + ], + [ + 2205, + 4739 + ], + [ + 739, + 4071 + ], + [ + 6613, + 6707 + ], + [ + 825, + 3091 + ], + [ + 1291, + 11000 + ], + [ + 4369, + 9909 + ], + [ + 453, + 1233 + ], + [ + 2973, + 9980 + ], + [ + 9449, + 10964 + ], + [ + 2324, + 9534 + ], + [ + 3754, + 4129 + ], + [ + 2470, + 2943 + ], + [ + 10618, + 10887 + ], + [ + 408, + 7125 + ], + [ + 6230, + 9571 + ], + [ + 4058, + 7923 + ], + [ + 2222, + 8476 + ], + [ + 2802, + 4621 + ], + [ + 4018, + 10776 + ], + [ + 5709, + 7590 + ], + [ + 8567, + 10697 + ], + [ + 2607, + 8317 + ], + [ + 2462, + 4930 + ], + [ + 8429, + 10763 + ], + [ + 2338, + 3174 + ], + [ + 6080, + 9977 + ], + [ + 2644, + 6664 + ], + [ + 1428, + 6925 + ], + [ + 2028, + 2194 + ], + [ + 5607, + 7313 + ], + [ + 5886, + 10111 + ], + [ + 8183, + 10707 + ], + [ + 1361, + 9086 + ], + [ + 1061, + 2378 + ], + [ + 930, + 10031 + ], + [ + 6062, + 11276 + ], + [ + 8266, + 9429 + ], + [ + 331, + 2532 + ], + [ + 8670, + 9290 + ], + [ + 979, + 9169 + ], + [ + 5552, + 9484 + ], + [ + 700, + 3338 + ], + [ + 2380, + 8661 + ], + [ + 8419, + 8890 + ], + [ + 1380, + 7234 + ], + [ + 1442, + 1696 + ], + [ + 2629, + 2949 + ], + [ + 4065, + 11322 + ], + [ + 6111, + 8135 + ], + [ + 378, + 11396 + ], + [ + 2742, + 6798 + ], + [ + 5429, + 7549 + ], + [ + 7237, + 11364 + ], + [ + 127, + 10996 + ], + [ + 1216, + 2292 + ], + [ + 2859, + 4350 + ], + [ + 4118, + 7923 + ], + [ + 5386, + 7852 + ], + [ + 4457, + 5137 + ], + [ + 2772, + 11521 + ], + [ + 3481, + 4104 + ], + [ + 6906, + 8756 + ], + [ + 6250, + 7139 + ], + [ + 4176, + 8278 + ], + [ + 5107, + 5404 + ], + [ + 5568, + 10717 + ], + [ + 1110, + 10914 + ], + [ + 1956, + 9622 + ], + [ + 3972, + 9976 + ], + [ + 6527, + 9110 + ], + [ + 1260, + 4442 + ], + [ + 6435, + 9521 + ], + [ + 1428, + 6470 + ], + [ + 6490, + 9228 + ], + [ + 4648, + 9212 + ], + [ + 8036, + 9101 + ], + [ + 2999, + 9591 + ], + [ + 1168, + 1820 + ], + [ + 760, + 6721 + ], + [ + 1510, + 4967 + ], + [ + 1687, + 6357 + ], + [ + 8787, + 10174 + ], + [ + 4463, + 10563 + ], + [ + 2715, + 6799 + ], + [ + 98, + 10951 + ], + [ + 5266, + 8443 + ], + [ + 7387, + 11257 + ], + [ + 6534, + 9126 + ], + [ + 9426, + 11063 + ], + [ + 6315, + 7510 + ], + [ + 2576, + 7394 + ], + [ + 217, + 9303 + ], + [ + 1112, + 3766 + ], + [ + 9919, + 11346 + ], + [ + 1175, + 8252 + ], + [ + 19, + 2148 + ], + [ + 8055, + 9851 + ], + [ + 3629, + 5799 + ], + [ + 1483, + 5372 + ], + [ + 4007, + 9357 + ], + [ + 6154, + 6222 + ], + [ + 4306, + 5260 + ], + [ + 1252, + 2995 + ], + [ + 1689, + 2996 + ], + [ + 984, + 11286 + ], + [ + 1562, + 6604 + ], + [ + 1290, + 2698 + ], + [ + 525, + 6049 + ], + [ + 9499, + 11295 + ], + [ + 3207, + 6456 + ], + [ + 2061, + 5204 + ], + [ + 5973, + 9974 + ], + [ + 5911, + 9096 + ], + [ + 4739, + 8875 + ], + [ + 2583, + 7760 + ], + [ + 1484, + 8956 + ], + [ + 271, + 1564 + ], + [ + 5056, + 6488 + ], + [ + 7583, + 9990 + ], + [ + 6482, + 7757 + ], + [ + 2417, + 5374 + ], + [ + 5553, + 9923 + ], + [ + 8858, + 10309 + ], + [ + 2962, + 9634 + ], + [ + 4615, + 5210 + ], + [ + 126, + 8006 + ], + [ + 2183, + 9115 + ], + [ + 2711, + 9234 + ], + [ + 2864, + 5312 + ], + [ + 969, + 8668 + ], + [ + 3858, + 6924 + ], + [ + 3116, + 10451 + ], + [ + 251, + 3140 + ], + [ + 497, + 6579 + ], + [ + 4382, + 6520 + ], + [ + 4565, + 11108 + ], + [ + 526, + 8448 + ], + [ + 7033, + 10997 + ], + [ + 578, + 2222 + ], + [ + 2809, + 4450 + ], + [ + 634, + 5537 + ], + [ + 670, + 5194 + ], + [ + 2967, + 5790 + ], + [ + 10475, + 11122 + ], + [ + 9506, + 10506 + ], + [ + 3116, + 9296 + ], + [ + 5827, + 8189 + ], + [ + 1030, + 8920 + ], + [ + 1231, + 6924 + ], + [ + 4063, + 10308 + ], + [ + 2721, + 5734 + ], + [ + 4271, + 11011 + ], + [ + 326, + 11019 + ], + [ + 277, + 7370 + ], + [ + 3210, + 11560 + ], + [ + 2553, + 7089 + ], + [ + 7695, + 9776 + ], + [ + 5608, + 6546 + ], + [ + 9987, + 10028 + ], + [ + 8521, + 9360 + ], + [ + 2805, + 7310 + ], + [ + 2531, + 8993 + ], + [ + 5038, + 10365 + ], + [ + 3833, + 7752 + ], + [ + 2083, + 7325 + ], + [ + 85, + 7550 + ], + [ + 4730, + 9431 + ], + [ + 1920, + 9778 + ], + [ + 2083, + 10708 + ], + [ + 1148, + 10430 + ], + [ + 8230, + 8780 + ], + [ + 7431, + 11019 + ], + [ + 10731, + 11061 + ], + [ + 5901, + 8646 + ], + [ + 7676, + 10823 + ], + [ + 5551, + 9021 + ], + [ + 2724, + 5227 + ], + [ + 1129, + 8875 + ], + [ + 2070, + 6689 + ], + [ + 2978, + 8527 + ], + [ + 3787, + 11140 + ], + [ + 6105, + 6197 + ], + [ + 3441, + 10503 + ], + [ + 2567, + 7495 + ], + [ + 3998, + 9108 + ], + [ + 1164, + 10559 + ], + [ + 4674, + 11377 + ], + [ + 71, + 8941 + ], + [ + 3987, + 4031 + ], + [ + 4233, + 7470 + ], + [ + 2689, + 5391 + ], + [ + 2931, + 11340 + ], + [ + 4053, + 5782 + ], + [ + 2397, + 4990 + ], + [ + 1676, + 2978 + ], + [ + 3544, + 6844 + ], + [ + 1649, + 10200 + ], + [ + 5572, + 6461 + ], + [ + 9118, + 9942 + ], + [ + 646, + 11508 + ], + [ + 7399, + 11080 + ], + [ + 6745, + 10290 + ], + [ + 3820, + 5961 + ], + [ + 2199, + 7634 + ], + [ + 6404, + 9997 + ], + [ + 2853, + 6926 + ], + [ + 3346, + 10242 + ], + [ + 1226, + 11036 + ], + [ + 6026, + 9822 + ], + [ + 3383, + 8589 + ], + [ + 2373, + 6474 + ], + [ + 5903, + 8668 + ], + [ + 7396, + 7749 + ], + [ + 1623, + 10857 + ], + [ + 3428, + 4575 + ], + [ + 4670, + 10453 + ], + [ + 876, + 3460 + ], + [ + 5518, + 5824 + ], + [ + 3370, + 10986 + ], + [ + 4560, + 9504 + ], + [ + 1587, + 8167 + ], + [ + 7414, + 8705 + ], + [ + 2438, + 7219 + ], + [ + 3544, + 9072 + ], + [ + 94, + 6807 + ], + [ + 594, + 11294 + ], + [ + 10139, + 11441 + ], + [ + 5743, + 10264 + ], + [ + 1013, + 5801 + ], + [ + 5759, + 7734 + ], + [ + 2170, + 8343 + ], + [ + 2729, + 10027 + ], + [ + 776, + 9995 + ], + [ + 6409, + 9536 + ], + [ + 108, + 447 + ], + [ + 3757, + 4053 + ], + [ + 3478, + 4638 + ], + [ + 7635, + 9239 + ], + [ + 2778, + 3503 + ], + [ + 4164, + 8349 + ], + [ + 9252, + 10076 + ], + [ + 2595, + 4550 + ], + [ + 3990, + 6506 + ], + [ + 884, + 9713 + ], + [ + 7355, + 10353 + ], + [ + 1319, + 9641 + ], + [ + 1563, + 10001 + ], + [ + 5081, + 10680 + ], + [ + 944, + 1069 + ], + [ + 7000, + 8849 + ], + [ + 5601, + 10157 + ], + [ + 2247, + 9852 + ], + [ + 6285, + 6625 + ], + [ + 2362, + 7358 + ], + [ + 2860, + 11018 + ], + [ + 3980, + 4633 + ], + [ + 2232, + 5033 + ], + [ + 5162, + 5542 + ], + [ + 748, + 3759 + ], + [ + 2761, + 11012 + ], + [ + 7547, + 9368 + ], + [ + 4000, + 9422 + ], + [ + 1988, + 11439 + ], + [ + 481, + 2102 + ], + [ + 1287, + 10079 + ], + [ + 609, + 6983 + ], + [ + 4408, + 7904 + ], + [ + 1435, + 6567 + ], + [ + 4081, + 11481 + ], + [ + 204, + 2733 + ], + [ + 8915, + 9851 + ], + [ + 2403, + 6958 + ], + [ + 350, + 8974 + ], + [ + 8574, + 9558 + ], + [ + 5916, + 7293 + ], + [ + 1564, + 5634 + ], + [ + 1657, + 2415 + ], + [ + 9177, + 10790 + ], + [ + 6599, + 7700 + ], + [ + 2269, + 4110 + ], + [ + 1114, + 7276 + ], + [ + 2454, + 9525 + ], + [ + 6590, + 9085 + ], + [ + 6903, + 7330 + ], + [ + 181, + 655 + ], + [ + 9766, + 10781 + ], + [ + 1242, + 9905 + ], + [ + 3482, + 9967 + ], + [ + 3425, + 9433 + ], + [ + 7279, + 10061 + ], + [ + 1890, + 10880 + ], + [ + 4968, + 11287 + ], + [ + 211, + 2749 + ], + [ + 4162, + 6693 + ], + [ + 912, + 6768 + ], + [ + 4217, + 6400 + ], + [ + 5614, + 9183 + ], + [ + 2201, + 5265 + ], + [ + 2001, + 8617 + ], + [ + 2190, + 5106 + ], + [ + 5514, + 8952 + ], + [ + 2251, + 8011 + ], + [ + 4680, + 8726 + ], + [ + 9341, + 11140 + ], + [ + 506, + 6430 + ], + [ + 3299, + 3443 + ], + [ + 3266, + 7467 + ], + [ + 1624, + 9017 + ], + [ + 3264, + 4388 + ], + [ + 3236, + 8756 + ], + [ + 213, + 8056 + ], + [ + 1046, + 8811 + ], + [ + 4485, + 5225 + ], + [ + 10766, + 11403 + ], + [ + 1755, + 10439 + ], + [ + 7023, + 11545 + ], + [ + 7944, + 11366 + ], + [ + 728, + 3402 + ], + [ + 110, + 10937 + ], + [ + 848, + 4258 + ], + [ + 2009, + 4290 + ], + [ + 8454, + 10125 + ], + [ + 5390, + 9424 + ], + [ + 5025, + 8737 + ], + [ + 3182, + 7365 + ], + [ + 37, + 5736 + ], + [ + 1573, + 4891 + ], + [ + 4266, + 5487 + ], + [ + 2251, + 3823 + ], + [ + 2937, + 5282 + ], + [ + 1189, + 1518 + ], + [ + 7164, + 11376 + ], + [ + 2429, + 5815 + ], + [ + 4550, + 8629 + ], + [ + 9240, + 9529 + ], + [ + 3858, + 7355 + ], + [ + 7096, + 9929 + ], + [ + 2410, + 11400 + ], + [ + 5908, + 10703 + ], + [ + 5502, + 10015 + ], + [ + 505, + 7652 + ], + [ + 680, + 5963 + ], + [ + 10040, + 11275 + ], + [ + 2015, + 7868 + ], + [ + 1829, + 4480 + ], + [ + 4203, + 11150 + ], + [ + 4313, + 4902 + ], + [ + 5123, + 10369 + ], + [ + 10143, + 11373 + ], + [ + 1045, + 7781 + ], + [ + 6812, + 10520 + ], + [ + 2638, + 4060 + ], + [ + 5057, + 5585 + ], + [ + 6930, + 8297 + ], + [ + 25, + 11337 + ], + [ + 72, + 4013 + ], + [ + 4249, + 10744 + ], + [ + 6895, + 11494 + ], + [ + 2251, + 6051 + ], + [ + 916, + 2648 + ], + [ + 5489, + 8625 + ], + [ + 1817, + 9731 + ], + [ + 3749, + 9640 + ], + [ + 1161, + 8114 + ], + [ + 2899, + 4774 + ], + [ + 3069, + 3465 + ], + [ + 3900, + 9809 + ], + [ + 2222, + 10948 + ], + [ + 2439, + 3069 + ], + [ + 3552, + 6093 + ], + [ + 2306, + 7643 + ], + [ + 218, + 10604 + ], + [ + 6823, + 10278 + ], + [ + 7822, + 11480 + ], + [ + 1253, + 8053 + ], + [ + 3514, + 6740 + ], + [ + 1272, + 5851 + ], + [ + 4910, + 11550 + ], + [ + 6775, + 9483 + ], + [ + 4407, + 10929 + ], + [ + 4508, + 4565 + ], + [ + 2075, + 7114 + ], + [ + 3069, + 8726 + ], + [ + 5247, + 11320 + ], + [ + 4127, + 4873 + ], + [ + 4782, + 9271 + ], + [ + 5754, + 6398 + ], + [ + 3251, + 8208 + ], + [ + 1136, + 9346 + ], + [ + 2918, + 5524 + ], + [ + 855, + 6852 + ], + [ + 4931, + 6361 + ], + [ + 550, + 6216 + ], + [ + 1042, + 6678 + ], + [ + 7883, + 8349 + ], + [ + 5176, + 9575 + ], + [ + 608, + 3942 + ], + [ + 3374, + 8958 + ], + [ + 3157, + 4759 + ], + [ + 688, + 4645 + ], + [ + 5151, + 5546 + ], + [ + 3349, + 11345 + ], + [ + 4089, + 8903 + ], + [ + 2621, + 8162 + ], + [ + 7388, + 10972 + ], + [ + 2192, + 5016 + ], + [ + 4052, + 9775 + ], + [ + 3923, + 6921 + ], + [ + 6166, + 10664 + ], + [ + 4048, + 5869 + ], + [ + 2425, + 7469 + ], + [ + 6162, + 7512 + ], + [ + 1463, + 8778 + ], + [ + 4852, + 6603 + ], + [ + 5633, + 7168 + ], + [ + 5342, + 10402 + ], + [ + 8528, + 9376 + ], + [ + 2430, + 11196 + ], + [ + 3134, + 9097 + ], + [ + 3848, + 8440 + ], + [ + 6062, + 6527 + ], + [ + 4477, + 10863 + ], + [ + 1385, + 5862 + ], + [ + 1453, + 3522 + ], + [ + 295, + 4892 + ], + [ + 10992, + 11401 + ], + [ + 2833, + 4796 + ], + [ + 744, + 11319 + ], + [ + 1005, + 9374 + ], + [ + 9346, + 11297 + ], + [ + 1245, + 8834 + ], + [ + 627, + 9953 + ], + [ + 3982, + 6696 + ], + [ + 5014, + 11044 + ], + [ + 6788, + 9613 + ], + [ + 1337, + 8800 + ], + [ + 2581, + 7177 + ], + [ + 150, + 3383 + ], + [ + 3259, + 3857 + ], + [ + 2484, + 7244 + ], + [ + 4046, + 7620 + ], + [ + 607, + 4790 + ], + [ + 6961, + 7097 + ], + [ + 579, + 9158 + ], + [ + 6365, + 9695 + ], + [ + 2517, + 6603 + ], + [ + 2983, + 11506 + ], + [ + 6250, + 9156 + ], + [ + 1984, + 9523 + ], + [ + 11447, + 11550 + ], + [ + 47, + 602 + ], + [ + 4766, + 6404 + ], + [ + 3993, + 10618 + ], + [ + 5526, + 6092 + ], + [ + 4218, + 9016 + ], + [ + 5682, + 6605 + ], + [ + 2067, + 8245 + ], + [ + 231, + 5792 + ], + [ + 1031, + 6407 + ], + [ + 4828, + 6501 + ], + [ + 11151, + 11407 + ], + [ + 4334, + 10130 + ], + [ + 6768, + 10435 + ], + [ + 5698, + 10521 + ], + [ + 11109, + 11181 + ], + [ + 3702, + 6655 + ], + [ + 2836, + 9924 + ], + [ + 2299, + 4057 + ], + [ + 3119, + 10212 + ], + [ + 5667, + 8175 + ], + [ + 2649, + 11229 + ], + [ + 3433, + 11311 + ], + [ + 2766, + 6152 + ], + [ + 842, + 3852 + ], + [ + 6587, + 10804 + ], + [ + 6525, + 9926 + ], + [ + 4728, + 7401 + ], + [ + 779, + 9919 + ], + [ + 2334, + 9124 + ], + [ + 483, + 8645 + ], + [ + 3700, + 6178 + ], + [ + 6145, + 6672 + ], + [ + 766, + 8179 + ], + [ + 5835, + 6446 + ], + [ + 3382, + 10972 + ], + [ + 5094, + 8663 + ], + [ + 6685, + 7525 + ], + [ + 706, + 7347 + ], + [ + 5584, + 8298 + ], + [ + 3244, + 4622 + ], + [ + 1406, + 2096 + ], + [ + 258, + 6433 + ], + [ + 1975, + 4468 + ], + [ + 3212, + 5084 + ], + [ + 3988, + 5305 + ], + [ + 5181, + 7504 + ], + [ + 1470, + 3020 + ], + [ + 7137, + 7807 + ], + [ + 4207, + 7298 + ], + [ + 2161, + 10485 + ], + [ + 1841, + 11069 + ], + [ + 3737, + 4905 + ], + [ + 5352, + 9079 + ], + [ + 3480, + 6969 + ], + [ + 7070, + 9968 + ], + [ + 4670, + 6241 + ], + [ + 5636, + 11467 + ], + [ + 9736, + 9872 + ], + [ + 9493, + 10114 + ], + [ + 4248, + 9177 + ], + [ + 8461, + 11401 + ], + [ + 7033, + 7053 + ], + [ + 8487, + 10370 + ], + [ + 1456, + 2159 + ], + [ + 296, + 11397 + ], + [ + 4872, + 8977 + ], + [ + 755, + 3051 + ], + [ + 4681, + 5245 + ], + [ + 5030, + 10317 + ], + [ + 4345, + 9460 + ], + [ + 3460, + 8545 + ], + [ + 2474, + 4542 + ], + [ + 134, + 3872 + ], + [ + 1409, + 4972 + ], + [ + 5925, + 11169 + ], + [ + 1715, + 8462 + ], + [ + 1849, + 5244 + ], + [ + 4894, + 9675 + ], + [ + 2222, + 3540 + ], + [ + 3676, + 6857 + ], + [ + 3842, + 8058 + ], + [ + 1561, + 1579 + ], + [ + 2371, + 7046 + ], + [ + 3744, + 5271 + ], + [ + 6698, + 10338 + ], + [ + 8260, + 10714 + ], + [ + 4430, + 8228 + ], + [ + 760, + 10161 + ], + [ + 5328, + 9378 + ], + [ + 8687, + 10781 + ], + [ + 3733, + 6610 + ], + [ + 6006, + 6812 + ], + [ + 6193, + 8890 + ], + [ + 5903, + 8562 + ], + [ + 6214, + 6734 + ], + [ + 10300, + 11095 + ], + [ + 3881, + 4229 + ], + [ + 7702, + 8881 + ], + [ + 7027, + 9466 + ], + [ + 1831, + 3510 + ], + [ + 1392, + 6846 + ], + [ + 1225, + 1256 + ], + [ + 10164, + 10453 + ], + [ + 9758, + 9765 + ], + [ + 8977, + 9200 + ], + [ + 8445, + 9339 + ], + [ + 1974, + 2283 + ], + [ + 3684, + 9727 + ], + [ + 1602, + 6841 + ], + [ + 1949, + 4670 + ], + [ + 1140, + 8473 + ], + [ + 5827, + 9856 + ], + [ + 4032, + 10410 + ], + [ + 6885, + 9009 + ], + [ + 1193, + 5855 + ], + [ + 5678, + 9733 + ], + [ + 5838, + 7736 + ], + [ + 2906, + 6400 + ], + [ + 7197, + 7783 + ], + [ + 982, + 4854 + ], + [ + 3308, + 3936 + ], + [ + 1718, + 11338 + ], + [ + 7785, + 7953 + ], + [ + 66, + 8036 + ], + [ + 432, + 9325 + ], + [ + 253, + 7862 + ], + [ + 1151, + 9012 + ], + [ + 3988, + 7078 + ], + [ + 4853, + 5836 + ], + [ + 89, + 291 + ], + [ + 5508, + 7228 + ], + [ + 5415, + 11201 + ], + [ + 1363, + 9834 + ], + [ + 2273, + 6837 + ], + [ + 2667, + 6010 + ], + [ + 1237, + 11415 + ], + [ + 275, + 2144 + ], + [ + 1331, + 4634 + ], + [ + 2480, + 3151 + ], + [ + 3979, + 9594 + ], + [ + 2534, + 3387 + ], + [ + 2291, + 3629 + ], + [ + 2222, + 7996 + ], + [ + 1814, + 10645 + ], + [ + 3223, + 4363 + ], + [ + 3748, + 9846 + ], + [ + 2833, + 6837 + ], + [ + 2750, + 5082 + ], + [ + 4615, + 5267 + ], + [ + 1533, + 7370 + ], + [ + 1194, + 1488 + ], + [ + 6667, + 10196 + ], + [ + 7262, + 7373 + ], + [ + 2959, + 8639 + ], + [ + 5954, + 8045 + ], + [ + 4364, + 11283 + ], + [ + 1965, + 11164 + ], + [ + 432, + 8520 + ], + [ + 3670, + 6930 + ], + [ + 4169, + 8563 + ], + [ + 1958, + 9993 + ], + [ + 11075, + 11383 + ], + [ + 10239, + 11111 + ], + [ + 3950, + 9953 + ], + [ + 842, + 3665 + ], + [ + 5154, + 5925 + ], + [ + 2232, + 5277 + ], + [ + 3076, + 3912 + ], + [ + 3420, + 3722 + ], + [ + 894, + 3074 + ], + [ + 7024, + 10591 + ], + [ + 6497, + 11074 + ], + [ + 7140, + 10951 + ], + [ + 4060, + 7465 + ], + [ + 271, + 816 + ], + [ + 6585, + 10140 + ], + [ + 1200, + 2033 + ], + [ + 1229, + 6935 + ], + [ + 6631, + 9734 + ], + [ + 9284, + 9403 + ], + [ + 5044, + 10991 + ], + [ + 7198, + 9027 + ], + [ + 3867, + 4010 + ], + [ + 9648, + 9865 + ], + [ + 1834, + 10842 + ], + [ + 2920, + 5627 + ], + [ + 1278, + 3013 + ], + [ + 8459, + 11168 + ], + [ + 1293, + 6704 + ], + [ + 6141, + 8944 + ], + [ + 857, + 7305 + ], + [ + 3904, + 8399 + ], + [ + 3379, + 6299 + ], + [ + 359, + 9280 + ], + [ + 1916, + 9312 + ], + [ + 1730, + 10088 + ], + [ + 3535, + 3806 + ], + [ + 6895, + 10315 + ], + [ + 3652, + 5145 + ], + [ + 1279, + 5493 + ], + [ + 5492, + 7717 + ], + [ + 4024, + 10386 + ], + [ + 6080, + 7887 + ], + [ + 8444, + 9705 + ], + [ + 7451, + 9449 + ], + [ + 6456, + 10618 + ], + [ + 5114, + 5290 + ], + [ + 8992, + 10476 + ], + [ + 2278, + 10832 + ], + [ + 1810, + 8512 + ], + [ + 504, + 5847 + ], + [ + 3761, + 8471 + ], + [ + 6032, + 7846 + ], + [ + 5699, + 11578 + ], + [ + 2743, + 5684 + ], + [ + 7684, + 10367 + ], + [ + 2975, + 4529 + ], + [ + 4108, + 8929 + ], + [ + 5625, + 6152 + ], + [ + 2602, + 5452 + ], + [ + 1791, + 6176 + ], + [ + 8554, + 10600 + ], + [ + 8948, + 10527 + ], + [ + 2050, + 7568 + ], + [ + 486, + 4113 + ], + [ + 3533, + 5961 + ], + [ + 3555, + 7440 + ], + [ + 2034, + 2901 + ], + [ + 8976, + 9542 + ], + [ + 4191, + 4618 + ], + [ + 8379, + 11538 + ], + [ + 36, + 2372 + ], + [ + 5521, + 8431 + ], + [ + 10756, + 11309 + ], + [ + 3652, + 10756 + ], + [ + 6494, + 9166 + ], + [ + 2413, + 9313 + ], + [ + 1948, + 10674 + ], + [ + 7540, + 10214 + ], + [ + 539, + 7130 + ], + [ + 3372, + 5454 + ], + [ + 4091, + 4387 + ], + [ + 5703, + 11296 + ], + [ + 6167, + 9710 + ], + [ + 5262, + 7389 + ], + [ + 4767, + 10793 + ], + [ + 7093, + 9875 + ], + [ + 7216, + 7996 + ], + [ + 4348, + 8365 + ], + [ + 1982, + 5720 + ], + [ + 8435, + 11416 + ], + [ + 2448, + 4961 + ], + [ + 620, + 9539 + ], + [ + 6396, + 10886 + ], + [ + 643, + 9708 + ], + [ + 8229, + 10035 + ], + [ + 672, + 8948 + ], + [ + 882, + 3308 + ], + [ + 3970, + 5157 + ], + [ + 5737, + 8971 + ], + [ + 637, + 9893 + ], + [ + 6022, + 11584 + ], + [ + 36, + 7983 + ], + [ + 581, + 5797 + ], + [ + 3193, + 5465 + ], + [ + 6015, + 8915 + ], + [ + 1506, + 9524 + ], + [ + 919, + 5792 + ], + [ + 5167, + 9757 + ], + [ + 1647, + 1835 + ], + [ + 1650, + 2106 + ], + [ + 6378, + 9906 + ], + [ + 1376, + 7199 + ], + [ + 619, + 4776 + ], + [ + 716, + 8092 + ], + [ + 1096, + 8313 + ], + [ + 26, + 1229 + ], + [ + 739, + 9015 + ], + [ + 2430, + 5829 + ], + [ + 1831, + 11162 + ], + [ + 3075, + 6533 + ], + [ + 4981, + 7473 + ], + [ + 2984, + 10552 + ], + [ + 7333, + 11159 + ], + [ + 1354, + 2313 + ], + [ + 2374, + 4392 + ], + [ + 7143, + 8783 + ], + [ + 7138, + 8439 + ], + [ + 4674, + 8669 + ], + [ + 9850, + 10940 + ], + [ + 5514, + 9814 + ], + [ + 1816, + 3283 + ], + [ + 2991, + 7185 + ], + [ + 7409, + 9841 + ], + [ + 90, + 998 + ], + [ + 781, + 5053 + ], + [ + 6223, + 11442 + ], + [ + 27, + 6311 + ], + [ + 5357, + 9049 + ], + [ + 104, + 8975 + ], + [ + 6883, + 7516 + ], + [ + 2492, + 8935 + ], + [ + 4481, + 5214 + ], + [ + 8089, + 8819 + ], + [ + 10549, + 11099 + ], + [ + 6220, + 11144 + ], + [ + 6822, + 9492 + ], + [ + 862, + 7112 + ], + [ + 4941, + 10302 + ], + [ + 3612, + 5933 + ], + [ + 680, + 11013 + ], + [ + 181, + 7128 + ], + [ + 4135, + 5708 + ], + [ + 7519, + 10359 + ], + [ + 5445, + 11498 + ], + [ + 2580, + 11384 + ], + [ + 8774, + 9272 + ], + [ + 274, + 7292 + ], + [ + 6081, + 7952 + ], + [ + 8417, + 8476 + ], + [ + 2725, + 10984 + ], + [ + 3006, + 10445 + ], + [ + 1626, + 8797 + ], + [ + 9628, + 11254 + ], + [ + 2501, + 8997 + ], + [ + 4982, + 4984 + ], + [ + 3681, + 6827 + ], + [ + 3948, + 4727 + ], + [ + 1711, + 4182 + ], + [ + 4106, + 6067 + ], + [ + 995, + 8930 + ], + [ + 780, + 10439 + ], + [ + 5068, + 8141 + ], + [ + 7590, + 10545 + ], + [ + 6351, + 9102 + ], + [ + 5037, + 6576 + ], + [ + 5609, + 8465 + ], + [ + 8714, + 11449 + ], + [ + 4311, + 9101 + ], + [ + 3440, + 5610 + ], + [ + 1675, + 8258 + ], + [ + 2040, + 6693 + ], + [ + 4497, + 5292 + ], + [ + 1102, + 8396 + ], + [ + 7461, + 8795 + ], + [ + 2408, + 5399 + ], + [ + 9486, + 11147 + ], + [ + 3158, + 3645 + ], + [ + 8198, + 8307 + ], + [ + 6952, + 9857 + ], + [ + 7454, + 11007 + ], + [ + 5577, + 9307 + ], + [ + 1258, + 3624 + ], + [ + 6335, + 8168 + ], + [ + 2813, + 9999 + ], + [ + 3771, + 11200 + ], + [ + 5731, + 6741 + ], + [ + 1570, + 11066 + ], + [ + 4731, + 6812 + ], + [ + 1333, + 4737 + ], + [ + 1838, + 5404 + ], + [ + 3789, + 9527 + ], + [ + 5069, + 6807 + ], + [ + 3833, + 9045 + ], + [ + 2954, + 5693 + ], + [ + 1331, + 7293 + ], + [ + 3793, + 9646 + ], + [ + 5966, + 8486 + ], + [ + 3297, + 6032 + ], + [ + 4725, + 10380 + ], + [ + 7412, + 11131 + ], + [ + 5199, + 9482 + ], + [ + 1949, + 3141 + ], + [ + 1861, + 7458 + ], + [ + 6742, + 11336 + ], + [ + 2446, + 3947 + ], + [ + 2700, + 4995 + ], + [ + 6306, + 7773 + ], + [ + 4279, + 9512 + ], + [ + 4659, + 8979 + ], + [ + 4072, + 5247 + ], + [ + 1383, + 7833 + ], + [ + 1968, + 4322 + ], + [ + 799, + 7782 + ], + [ + 694, + 3824 + ], + [ + 7486, + 9740 + ], + [ + 5490, + 5874 + ], + [ + 2255, + 6981 + ], + [ + 2258, + 10662 + ], + [ + 6272, + 9293 + ], + [ + 634, + 2992 + ], + [ + 1496, + 8649 + ], + [ + 2519, + 7993 + ], + [ + 690, + 3301 + ], + [ + 4058, + 7419 + ], + [ + 5572, + 10787 + ], + [ + 5656, + 9734 + ], + [ + 9052, + 9484 + ], + [ + 337, + 11292 + ], + [ + 5796, + 9714 + ], + [ + 4017, + 4385 + ], + [ + 6415, + 11449 + ], + [ + 6056, + 10607 + ], + [ + 1059, + 8244 + ], + [ + 1429, + 7023 + ], + [ + 6785, + 10982 + ], + [ + 4347, + 6017 + ], + [ + 1489, + 7828 + ], + [ + 4072, + 4092 + ], + [ + 5444, + 8508 + ], + [ + 2025, + 7808 + ], + [ + 4346, + 6546 + ], + [ + 1670, + 9337 + ], + [ + 3974, + 4688 + ], + [ + 1890, + 11555 + ], + [ + 10104, + 11451 + ], + [ + 3468, + 6048 + ], + [ + 6430, + 9478 + ], + [ + 2127, + 10744 + ], + [ + 5614, + 9858 + ], + [ + 1388, + 7372 + ], + [ + 4366, + 10581 + ], + [ + 851, + 3003 + ], + [ + 3908, + 9703 + ], + [ + 5856, + 9391 + ], + [ + 384, + 10707 + ], + [ + 3488, + 4421 + ], + [ + 1541, + 7587 + ], + [ + 416, + 796 + ], + [ + 3647, + 8615 + ], + [ + 2742, + 6294 + ], + [ + 8844, + 11009 + ], + [ + 8875, + 10322 + ], + [ + 1129, + 6330 + ], + [ + 977, + 8188 + ], + [ + 1316, + 8408 + ], + [ + 2400, + 5776 + ], + [ + 7513, + 9977 + ], + [ + 218, + 9856 + ], + [ + 5292, + 7713 + ], + [ + 3182, + 9195 + ], + [ + 8101, + 10147 + ], + [ + 216, + 2613 + ], + [ + 2014, + 5740 + ], + [ + 3106, + 3723 + ], + [ + 1213, + 7906 + ], + [ + 10017, + 11051 + ], + [ + 2388, + 7644 + ], + [ + 6531, + 8375 + ], + [ + 5882, + 7929 + ], + [ + 1605, + 4754 + ], + [ + 390, + 7869 + ], + [ + 1425, + 9482 + ], + [ + 3011, + 3836 + ], + [ + 4444, + 6276 + ], + [ + 3687, + 6859 + ], + [ + 770, + 4303 + ], + [ + 6463, + 11065 + ], + [ + 3815, + 9488 + ], + [ + 3228, + 5756 + ], + [ + 1258, + 7275 + ], + [ + 5267, + 5562 + ], + [ + 1421, + 8959 + ], + [ + 1478, + 5329 + ], + [ + 7639, + 11405 + ], + [ + 4714, + 7076 + ], + [ + 943, + 1787 + ], + [ + 3346, + 7697 + ], + [ + 8017, + 10799 + ], + [ + 6015, + 7118 + ], + [ + 5452, + 7944 + ], + [ + 2682, + 4684 + ], + [ + 4232, + 10715 + ], + [ + 3244, + 6639 + ], + [ + 1993, + 7091 + ], + [ + 508, + 2209 + ], + [ + 1652, + 6798 + ], + [ + 6411, + 10501 + ], + [ + 2343, + 10853 + ], + [ + 1681, + 6038 + ], + [ + 1304, + 10252 + ], + [ + 4609, + 9884 + ], + [ + 4832, + 5203 + ], + [ + 1028, + 8102 + ], + [ + 3361, + 4191 + ], + [ + 5749, + 10567 + ], + [ + 23, + 8583 + ], + [ + 5107, + 7128 + ], + [ + 2210, + 9011 + ], + [ + 2920, + 10864 + ], + [ + 5160, + 10926 + ], + [ + 8582, + 11143 + ], + [ + 3422, + 5598 + ], + [ + 800, + 5242 + ], + [ + 2536, + 7491 + ], + [ + 578, + 6361 + ], + [ + 3038, + 8641 + ], + [ + 7060, + 11297 + ], + [ + 7743, + 10573 + ], + [ + 3913, + 8087 + ], + [ + 6487, + 11435 + ], + [ + 3259, + 7297 + ], + [ + 3940, + 9910 + ], + [ + 3351, + 10269 + ], + [ + 946, + 1280 + ], + [ + 6344, + 8094 + ], + [ + 1604, + 9359 + ], + [ + 2904, + 5793 + ], + [ + 1816, + 4519 + ], + [ + 2186, + 3298 + ], + [ + 6169, + 6780 + ], + [ + 5171, + 7678 + ], + [ + 8887, + 9096 + ], + [ + 3056, + 8816 + ], + [ + 4496, + 8263 + ], + [ + 881, + 3487 + ], + [ + 1870, + 10417 + ], + [ + 2379, + 6322 + ], + [ + 3200, + 5562 + ], + [ + 11016, + 11047 + ], + [ + 904, + 2158 + ], + [ + 3555, + 7416 + ], + [ + 3620, + 7811 + ], + [ + 2958, + 2996 + ], + [ + 6292, + 7530 + ], + [ + 3269, + 6830 + ], + [ + 3264, + 6486 + ], + [ + 5017, + 10594 + ], + [ + 31, + 8420 + ], + [ + 86, + 1711 + ], + [ + 1208, + 8985 + ], + [ + 4972, + 6687 + ], + [ + 3144, + 4849 + ], + [ + 3235, + 11383 + ], + [ + 3261, + 6188 + ], + [ + 3145, + 8457 + ], + [ + 580, + 2219 + ], + [ + 3730, + 9110 + ], + [ + 2825, + 6789 + ], + [ + 3102, + 5377 + ], + [ + 4349, + 10845 + ], + [ + 4230, + 9433 + ], + [ + 8276, + 10231 + ], + [ + 613, + 1578 + ], + [ + 7920, + 8906 + ], + [ + 415, + 7255 + ], + [ + 22, + 10936 + ], + [ + 1409, + 8867 + ], + [ + 4101, + 9962 + ], + [ + 7671, + 11585 + ], + [ + 1133, + 6717 + ], + [ + 484, + 8523 + ], + [ + 1198, + 7866 + ], + [ + 2036, + 8965 + ], + [ + 4749, + 8685 + ], + [ + 7298, + 9502 + ], + [ + 4645, + 7581 + ], + [ + 8356, + 8655 + ], + [ + 2814, + 8478 + ], + [ + 1011, + 5007 + ], + [ + 9808, + 11145 + ], + [ + 4208, + 7580 + ], + [ + 355, + 3390 + ], + [ + 5148, + 11585 + ], + [ + 4954, + 9090 + ], + [ + 6511, + 8341 + ], + [ + 100, + 5500 + ], + [ + 2801, + 10875 + ], + [ + 1833, + 7451 + ], + [ + 312, + 7076 + ], + [ + 4942, + 7171 + ], + [ + 3013, + 5281 + ], + [ + 681, + 7882 + ], + [ + 2518, + 4521 + ], + [ + 1259, + 1702 + ], + [ + 4945, + 10825 + ], + [ + 1066, + 1307 + ], + [ + 5155, + 5185 + ], + [ + 1547, + 1580 + ], + [ + 1051, + 10798 + ], + [ + 6927, + 10097 + ], + [ + 8048, + 10730 + ], + [ + 1257, + 4258 + ], + [ + 911, + 3621 + ], + [ + 5926, + 10697 + ], + [ + 1033, + 8714 + ], + [ + 1757, + 8745 + ], + [ + 1931, + 3448 + ], + [ + 2068, + 10327 + ], + [ + 5428, + 10420 + ], + [ + 8377, + 8727 + ], + [ + 4645, + 6776 + ], + [ + 2336, + 4665 + ], + [ + 5365, + 9317 + ], + [ + 3922, + 3937 + ], + [ + 5852, + 9435 + ], + [ + 6447, + 6612 + ], + [ + 246, + 7553 + ], + [ + 1622, + 9459 + ], + [ + 1744, + 10388 + ], + [ + 1517, + 4747 + ], + [ + 9054, + 11571 + ], + [ + 675, + 6912 + ], + [ + 4143, + 8228 + ], + [ + 3505, + 7971 + ], + [ + 5564, + 9153 + ], + [ + 9428, + 10469 + ], + [ + 899, + 10003 + ], + [ + 6912, + 11263 + ], + [ + 467, + 3176 + ], + [ + 6845, + 10041 + ], + [ + 1898, + 11205 + ], + [ + 9665, + 10412 + ], + [ + 993, + 2468 + ], + [ + 5430, + 10092 + ], + [ + 8076, + 10842 + ], + [ + 268, + 2966 + ], + [ + 4870, + 8183 + ], + [ + 1847, + 7483 + ], + [ + 6184, + 11463 + ], + [ + 1349, + 9458 + ], + [ + 2479, + 7925 + ], + [ + 6018, + 9481 + ], + [ + 350, + 10885 + ], + [ + 107, + 11127 + ], + [ + 5260, + 7587 + ], + [ + 1717, + 10793 + ], + [ + 1966, + 5081 + ], + [ + 5722, + 9338 + ], + [ + 6611, + 6962 + ], + [ + 6139, + 7906 + ], + [ + 1839, + 6437 + ], + [ + 6690, + 8194 + ], + [ + 129, + 8792 + ], + [ + 714, + 5281 + ], + [ + 3413, + 7577 + ], + [ + 6905, + 7035 + ], + [ + 1329, + 1612 + ], + [ + 8173, + 9970 + ], + [ + 10112, + 10296 + ], + [ + 497, + 10881 + ], + [ + 301, + 6805 + ], + [ + 6185, + 10129 + ], + [ + 5306, + 6777 + ], + [ + 2849, + 8932 + ], + [ + 915, + 1780 + ], + [ + 44, + 9623 + ], + [ + 7117, + 8611 + ], + [ + 6642, + 11536 + ], + [ + 1979, + 8295 + ], + [ + 893, + 7848 + ], + [ + 7359, + 8144 + ], + [ + 6727, + 6921 + ], + [ + 2341, + 6432 + ], + [ + 2721, + 6653 + ], + [ + 3435, + 5242 + ], + [ + 603, + 1858 + ], + [ + 289, + 9804 + ], + [ + 7290, + 9478 + ], + [ + 2312, + 11329 + ], + [ + 567, + 4830 + ], + [ + 7031, + 10715 + ], + [ + 6687, + 10905 + ], + [ + 4476, + 5919 + ], + [ + 7445, + 9766 + ], + [ + 7373, + 8200 + ], + [ + 7779, + 8888 + ], + [ + 585, + 5409 + ], + [ + 3145, + 4887 + ], + [ + 2479, + 2582 + ], + [ + 3380, + 7413 + ], + [ + 1048, + 10014 + ], + [ + 2302, + 10991 + ], + [ + 6091, + 7060 + ], + [ + 3360, + 10144 + ], + [ + 4881, + 10519 + ], + [ + 2453, + 4744 + ], + [ + 10042, + 11004 + ], + [ + 2984, + 10796 + ], + [ + 2700, + 4621 + ], + [ + 4525, + 5407 + ], + [ + 3036, + 10205 + ], + [ + 801, + 4071 + ], + [ + 3709, + 6541 + ], + [ + 3533, + 11011 + ], + [ + 4366, + 4596 + ], + [ + 6619, + 9781 + ], + [ + 3503, + 5884 + ], + [ + 4184, + 8497 + ], + [ + 5082, + 10401 + ], + [ + 2532, + 2943 + ], + [ + 9068, + 10394 + ], + [ + 3434, + 11382 + ], + [ + 5208, + 5787 + ], + [ + 2271, + 4107 + ], + [ + 99, + 8875 + ], + [ + 4419, + 8744 + ], + [ + 4207, + 10551 + ], + [ + 3770, + 10550 + ], + [ + 2497, + 3107 + ], + [ + 2142, + 11052 + ], + [ + 117, + 2284 + ], + [ + 2641, + 6269 + ], + [ + 1204, + 10503 + ], + [ + 366, + 2988 + ], + [ + 8624, + 9572 + ], + [ + 765, + 7423 + ], + [ + 7616, + 9782 + ], + [ + 7149, + 11070 + ], + [ + 272, + 3326 + ], + [ + 2264, + 3286 + ], + [ + 2763, + 4919 + ], + [ + 2668, + 7311 + ], + [ + 173, + 6730 + ], + [ + 3409, + 8477 + ], + [ + 24, + 6607 + ], + [ + 888, + 2511 + ], + [ + 2562, + 3882 + ], + [ + 6575, + 8704 + ], + [ + 2129, + 4000 + ], + [ + 749, + 8768 + ], + [ + 2598, + 9174 + ], + [ + 1308, + 4036 + ], + [ + 1073, + 11309 + ], + [ + 2248, + 2379 + ], + [ + 3393, + 3406 + ], + [ + 1899, + 7860 + ], + [ + 557, + 8948 + ], + [ + 3112, + 8082 + ], + [ + 4853, + 6511 + ], + [ + 1993, + 10905 + ], + [ + 8526, + 9013 + ], + [ + 931, + 10852 + ], + [ + 4238, + 4895 + ], + [ + 626, + 10216 + ], + [ + 468, + 3214 + ], + [ + 4482, + 5255 + ], + [ + 3040, + 4981 + ], + [ + 1142, + 2404 + ], + [ + 4374, + 7415 + ], + [ + 2946, + 3067 + ], + [ + 3202, + 7194 + ], + [ + 6113, + 9181 + ], + [ + 3255, + 3822 + ], + [ + 3444, + 6727 + ], + [ + 9388, + 10856 + ], + [ + 5393, + 10023 + ], + [ + 3872, + 9648 + ], + [ + 1752, + 10442 + ], + [ + 7820, + 9911 + ], + [ + 476, + 9117 + ], + [ + 2635, + 7497 + ], + [ + 2064, + 8462 + ], + [ + 223, + 8671 + ], + [ + 10126, + 10970 + ], + [ + 2370, + 6290 + ], + [ + 9040, + 10523 + ], + [ + 191, + 9887 + ], + [ + 9717, + 9984 + ], + [ + 1307, + 6012 + ], + [ + 9307, + 11052 + ], + [ + 8281, + 10656 + ], + [ + 5361, + 10835 + ], + [ + 5038, + 5486 + ], + [ + 9549, + 11339 + ], + [ + 9426, + 10185 + ], + [ + 6310, + 8540 + ], + [ + 2743, + 4936 + ], + [ + 739, + 3461 + ], + [ + 3722, + 11178 + ], + [ + 613, + 5042 + ], + [ + 747, + 1070 + ], + [ + 2325, + 9149 + ], + [ + 6528, + 7679 + ], + [ + 10519, + 11022 + ], + [ + 6963, + 7607 + ], + [ + 3141, + 11398 + ], + [ + 4349, + 4860 + ], + [ + 1761, + 9750 + ], + [ + 5257, + 6698 + ], + [ + 1176, + 6845 + ], + [ + 2487, + 10608 + ], + [ + 2482, + 3848 + ], + [ + 7764, + 8824 + ], + [ + 6090, + 7453 + ], + [ + 3875, + 11393 + ], + [ + 5315, + 10840 + ], + [ + 2068, + 8180 + ], + [ + 2104, + 3673 + ], + [ + 4213, + 11388 + ], + [ + 3667, + 7657 + ], + [ + 2815, + 8380 + ], + [ + 6979, + 8490 + ], + [ + 4897, + 8233 + ], + [ + 437, + 5351 + ], + [ + 965, + 7722 + ], + [ + 7436, + 8362 + ], + [ + 96, + 5058 + ], + [ + 4010, + 10655 + ], + [ + 3146, + 8335 + ], + [ + 340, + 6172 + ], + [ + 6475, + 6863 + ], + [ + 9809, + 11397 + ], + [ + 1456, + 8713 + ], + [ + 9057, + 10072 + ], + [ + 4601, + 4680 + ], + [ + 9093, + 9729 + ], + [ + 9838, + 10637 + ], + [ + 3986, + 9480 + ], + [ + 1890, + 8416 + ], + [ + 5312, + 9387 + ], + [ + 1544, + 7779 + ], + [ + 5343, + 8700 + ], + [ + 3203, + 5055 + ], + [ + 3886, + 9249 + ], + [ + 584, + 9134 + ], + [ + 7805, + 10272 + ], + [ + 2731, + 5999 + ], + [ + 675, + 2082 + ], + [ + 2873, + 8334 + ], + [ + 3002, + 4018 + ], + [ + 385, + 8924 + ], + [ + 3776, + 7576 + ], + [ + 2943, + 7575 + ], + [ + 600, + 2847 + ], + [ + 4366, + 7792 + ], + [ + 1246, + 7159 + ], + [ + 6698, + 10826 + ], + [ + 126, + 712 + ], + [ + 4363, + 7494 + ], + [ + 5134, + 7371 + ], + [ + 3838, + 4640 + ], + [ + 5913, + 6355 + ], + [ + 2052, + 8720 + ], + [ + 6506, + 7623 + ], + [ + 1712, + 5619 + ], + [ + 5855, + 6350 + ], + [ + 5882, + 8173 + ], + [ + 2735, + 5717 + ], + [ + 1962, + 9177 + ], + [ + 6532, + 9975 + ], + [ + 2358, + 3515 + ], + [ + 7127, + 7152 + ], + [ + 8118, + 10745 + ], + [ + 4042, + 5574 + ], + [ + 1241, + 7165 + ], + [ + 1545, + 3412 + ], + [ + 4716, + 4764 + ], + [ + 1262, + 11425 + ], + [ + 1513, + 2376 + ], + [ + 2807, + 3526 + ], + [ + 4929, + 9194 + ], + [ + 4958, + 7680 + ], + [ + 4175, + 7042 + ], + [ + 1697, + 7566 + ], + [ + 5277, + 9877 + ], + [ + 7347, + 11248 + ], + [ + 6705, + 7809 + ], + [ + 2312, + 6149 + ], + [ + 3524, + 9152 + ], + [ + 1719, + 9018 + ], + [ + 248, + 1590 + ], + [ + 3585, + 10559 + ], + [ + 810, + 2791 + ], + [ + 2981, + 11384 + ], + [ + 7158, + 10945 + ], + [ + 8395, + 9309 + ], + [ + 8744, + 10217 + ], + [ + 3111, + 3506 + ], + [ + 2744, + 8408 + ], + [ + 4508, + 6289 + ], + [ + 8212, + 10356 + ], + [ + 3759, + 10897 + ], + [ + 1240, + 5004 + ], + [ + 8855, + 10987 + ], + [ + 82, + 2991 + ], + [ + 6809, + 7758 + ], + [ + 1086, + 4537 + ], + [ + 1148, + 6169 + ], + [ + 7808, + 9714 + ], + [ + 2135, + 10020 + ], + [ + 2078, + 9486 + ], + [ + 2882, + 10974 + ], + [ + 2101, + 3993 + ], + [ + 5277, + 5689 + ], + [ + 4998, + 6274 + ], + [ + 2223, + 3424 + ], + [ + 1042, + 5369 + ], + [ + 2907, + 5554 + ], + [ + 5945, + 7316 + ], + [ + 3775, + 8747 + ], + [ + 1189, + 1632 + ], + [ + 8820, + 11501 + ], + [ + 4357, + 8348 + ], + [ + 3789, + 9584 + ], + [ + 6872, + 10335 + ], + [ + 3520, + 10857 + ], + [ + 7964, + 8318 + ], + [ + 3149, + 5437 + ], + [ + 5656, + 7563 + ], + [ + 6058, + 11515 + ], + [ + 89, + 9773 + ], + [ + 1262, + 6432 + ], + [ + 4935, + 11186 + ], + [ + 2917, + 3589 + ], + [ + 924, + 9820 + ], + [ + 3845, + 6079 + ], + [ + 6245, + 8308 + ], + [ + 297, + 2525 + ], + [ + 5553, + 6280 + ], + [ + 5062, + 9426 + ], + [ + 1939, + 2860 + ], + [ + 9884, + 10445 + ], + [ + 2869, + 8429 + ], + [ + 5080, + 7753 + ], + [ + 1821, + 4302 + ], + [ + 1434, + 7074 + ], + [ + 3058, + 9082 + ], + [ + 9844, + 11046 + ], + [ + 3278, + 7136 + ], + [ + 4214, + 4606 + ], + [ + 1095, + 1192 + ], + [ + 498, + 3188 + ], + [ + 5292, + 8575 + ], + [ + 7661, + 10737 + ], + [ + 4727, + 9328 + ], + [ + 3674, + 4103 + ], + [ + 4205, + 10155 + ], + [ + 6476, + 9530 + ], + [ + 9496, + 9932 + ], + [ + 1449, + 4322 + ], + [ + 5695, + 5932 + ], + [ + 4910, + 8631 + ], + [ + 3007, + 7962 + ], + [ + 1639, + 7829 + ], + [ + 4528, + 6085 + ], + [ + 8230, + 9325 + ], + [ + 330, + 10528 + ], + [ + 1827, + 4093 + ], + [ + 299, + 2547 + ], + [ + 1471, + 2768 + ], + [ + 163, + 5692 + ], + [ + 3747, + 8903 + ], + [ + 4624, + 9176 + ], + [ + 1098, + 10107 + ], + [ + 3211, + 8142 + ], + [ + 1753, + 5083 + ], + [ + 5977, + 10906 + ], + [ + 9282, + 11292 + ], + [ + 4323, + 10941 + ], + [ + 6315, + 10901 + ], + [ + 1894, + 7947 + ], + [ + 4333, + 8596 + ], + [ + 2458, + 3559 + ], + [ + 5293, + 11378 + ], + [ + 2705, + 9852 + ], + [ + 742, + 1962 + ], + [ + 6939, + 10701 + ], + [ + 776, + 7962 + ], + [ + 4035, + 4997 + ], + [ + 707, + 9323 + ], + [ + 7035, + 10409 + ], + [ + 3389, + 10484 + ], + [ + 4659, + 7076 + ], + [ + 3394, + 10828 + ], + [ + 3201, + 10433 + ], + [ + 5961, + 6589 + ], + [ + 6991, + 10110 + ], + [ + 587, + 8440 + ], + [ + 1232, + 11396 + ], + [ + 5621, + 9150 + ], + [ + 1915, + 8420 + ], + [ + 5841, + 11368 + ], + [ + 2657, + 3395 + ], + [ + 855, + 2778 + ], + [ + 1472, + 7850 + ], + [ + 1289, + 8897 + ], + [ + 9442, + 10769 + ], + [ + 9254, + 11472 + ], + [ + 2804, + 3041 + ], + [ + 3125, + 5311 + ], + [ + 3860, + 5531 + ], + [ + 1712, + 4277 + ], + [ + 3253, + 10192 + ], + [ + 8284, + 11385 + ], + [ + 8501, + 9922 + ], + [ + 1443, + 3298 + ], + [ + 940, + 11345 + ], + [ + 3516, + 4186 + ], + [ + 2091, + 10689 + ], + [ + 2961, + 9791 + ], + [ + 6189, + 7513 + ], + [ + 9521, + 9722 + ], + [ + 8960, + 11375 + ], + [ + 340, + 10791 + ], + [ + 3301, + 4197 + ], + [ + 5104, + 7668 + ], + [ + 9543, + 11201 + ], + [ + 1241, + 9206 + ], + [ + 8061, + 10000 + ], + [ + 10022, + 10647 + ], + [ + 1576, + 11182 + ], + [ + 2644, + 11023 + ], + [ + 4041, + 7390 + ], + [ + 3353, + 3606 + ], + [ + 1455, + 6691 + ], + [ + 6246, + 8397 + ], + [ + 5408, + 7298 + ], + [ + 7371, + 8772 + ], + [ + 8138, + 11159 + ], + [ + 1827, + 5516 + ], + [ + 3561, + 6938 + ], + [ + 3124, + 6937 + ], + [ + 6121, + 6416 + ], + [ + 3377, + 5131 + ], + [ + 11062, + 11099 + ], + [ + 2442, + 4099 + ], + [ + 1225, + 10551 + ], + [ + 2978, + 4079 + ], + [ + 65, + 6957 + ], + [ + 8077, + 10102 + ], + [ + 5075, + 8027 + ], + [ + 6566, + 9691 + ], + [ + 9998, + 11350 + ], + [ + 2646, + 10695 + ], + [ + 3675, + 4946 + ], + [ + 1622, + 11126 + ], + [ + 3857, + 10090 + ], + [ + 1304, + 6121 + ], + [ + 8380, + 11042 + ], + [ + 6143, + 11251 + ], + [ + 1649, + 8785 + ], + [ + 3793, + 6133 + ], + [ + 5632, + 5851 + ], + [ + 4696, + 8381 + ], + [ + 3140, + 11203 + ], + [ + 3510, + 3566 + ], + [ + 934, + 3555 + ], + [ + 3236, + 4495 + ], + [ + 1646, + 2071 + ], + [ + 1262, + 9278 + ], + [ + 9217, + 11135 + ], + [ + 530, + 9329 + ], + [ + 2354, + 7261 + ], + [ + 4467, + 5296 + ], + [ + 4688, + 10368 + ], + [ + 731, + 2445 + ], + [ + 2017, + 7841 + ], + [ + 7454, + 9722 + ], + [ + 3295, + 8458 + ], + [ + 9570, + 11438 + ], + [ + 1576, + 7344 + ], + [ + 762, + 11557 + ], + [ + 4155, + 6872 + ], + [ + 8802, + 9580 + ], + [ + 3033, + 4516 + ], + [ + 5967, + 11560 + ], + [ + 386, + 5793 + ], + [ + 516, + 11501 + ], + [ + 7419, + 7634 + ], + [ + 6478, + 9820 + ], + [ + 2679, + 8899 + ], + [ + 4623, + 6159 + ], + [ + 7045, + 11365 + ], + [ + 2274, + 11065 + ], + [ + 6577, + 9799 + ], + [ + 7387, + 8850 + ], + [ + 6236, + 7254 + ], + [ + 969, + 11254 + ], + [ + 5568, + 10538 + ], + [ + 5891, + 9471 + ], + [ + 2180, + 4233 + ], + [ + 3544, + 11040 + ], + [ + 6878, + 9912 + ], + [ + 5811, + 6509 + ], + [ + 5656, + 9604 + ], + [ + 3634, + 10933 + ], + [ + 4358, + 4548 + ], + [ + 1584, + 4552 + ], + [ + 240, + 4813 + ], + [ + 2136, + 5065 + ], + [ + 5349, + 11524 + ], + [ + 7966, + 11536 + ], + [ + 4291, + 6709 + ], + [ + 6777, + 9456 + ], + [ + 2388, + 5286 + ], + [ + 4354, + 10441 + ], + [ + 6558, + 8594 + ], + [ + 7454, + 8917 + ], + [ + 2072, + 4491 + ], + [ + 3224, + 8941 + ], + [ + 1137, + 9875 + ], + [ + 2073, + 7345 + ], + [ + 8736, + 10407 + ], + [ + 4865, + 7920 + ], + [ + 1968, + 3387 + ], + [ + 197, + 8499 + ], + [ + 4555, + 6940 + ], + [ + 2194, + 8803 + ], + [ + 189, + 7857 + ], + [ + 934, + 1595 + ], + [ + 1278, + 2159 + ], + [ + 5708, + 6330 + ], + [ + 1164, + 4501 + ], + [ + 2654, + 3311 + ], + [ + 2401, + 5871 + ], + [ + 7475, + 10144 + ], + [ + 6599, + 10473 + ], + [ + 2115, + 3033 + ], + [ + 4544, + 5246 + ], + [ + 10211, + 10787 + ], + [ + 2329, + 6934 + ], + [ + 1556, + 11148 + ], + [ + 4548, + 6119 + ], + [ + 2924, + 8275 + ], + [ + 2953, + 3351 + ], + [ + 7151, + 7953 + ], + [ + 4384, + 11380 + ], + [ + 2760, + 2956 + ], + [ + 8637, + 10027 + ], + [ + 607, + 5522 + ], + [ + 4094, + 4636 + ], + [ + 2602, + 5753 + ], + [ + 2227, + 3624 + ], + [ + 4716, + 10806 + ], + [ + 275, + 6446 + ], + [ + 4399, + 8655 + ], + [ + 2128, + 2864 + ], + [ + 2346, + 10671 + ], + [ + 918, + 7077 + ], + [ + 9950, + 10049 + ], + [ + 5642, + 6807 + ], + [ + 6767, + 11346 + ], + [ + 3806, + 5108 + ], + [ + 2006, + 5318 + ], + [ + 7510, + 9175 + ], + [ + 5674, + 9728 + ], + [ + 5551, + 8574 + ], + [ + 7132, + 9000 + ], + [ + 222, + 3028 + ], + [ + 3174, + 7268 + ], + [ + 1935, + 9989 + ], + [ + 5381, + 9102 + ], + [ + 3263, + 10723 + ], + [ + 1000, + 8957 + ], + [ + 6664, + 10817 + ], + [ + 537, + 7735 + ], + [ + 6698, + 9647 + ], + [ + 2150, + 4666 + ], + [ + 7005, + 7323 + ], + [ + 1766, + 7709 + ], + [ + 675, + 6164 + ], + [ + 685, + 6852 + ], + [ + 3018, + 7105 + ], + [ + 549, + 7745 + ], + [ + 4814, + 9405 + ], + [ + 965, + 2705 + ], + [ + 4912, + 10694 + ], + [ + 8303, + 10100 + ], + [ + 5092, + 9349 + ], + [ + 6618, + 10068 + ], + [ + 635, + 5984 + ], + [ + 53, + 344 + ], + [ + 6768, + 10012 + ], + [ + 5985, + 10505 + ], + [ + 3583, + 8203 + ], + [ + 3177, + 6761 + ], + [ + 4518, + 5448 + ], + [ + 3076, + 3676 + ], + [ + 2869, + 5827 + ], + [ + 3335, + 11484 + ], + [ + 7213, + 10254 + ], + [ + 6719, + 9719 + ], + [ + 6186, + 7004 + ], + [ + 10270, + 10538 + ], + [ + 5597, + 6609 + ], + [ + 7501, + 10886 + ], + [ + 2136, + 5683 + ], + [ + 2664, + 8054 + ], + [ + 1489, + 1900 + ], + [ + 8204, + 11568 + ], + [ + 4668, + 9529 + ], + [ + 1206, + 11411 + ], + [ + 1977, + 4872 + ], + [ + 5810, + 11039 + ], + [ + 2257, + 7141 + ], + [ + 1140, + 6627 + ], + [ + 2224, + 11165 + ], + [ + 5623, + 8180 + ], + [ + 5595, + 6132 + ], + [ + 1070, + 9271 + ], + [ + 6427, + 8914 + ], + [ + 1383, + 10899 + ], + [ + 5022, + 9653 + ], + [ + 2713, + 7542 + ], + [ + 2747, + 7126 + ], + [ + 7439, + 8853 + ], + [ + 9068, + 10451 + ], + [ + 10344, + 10995 + ], + [ + 9217, + 9793 + ], + [ + 7696, + 9418 + ], + [ + 3486, + 7465 + ], + [ + 2154, + 2825 + ], + [ + 4415, + 7928 + ], + [ + 2028, + 10822 + ], + [ + 3086, + 9975 + ], + [ + 1742, + 10236 + ], + [ + 71, + 6884 + ], + [ + 5785, + 11517 + ], + [ + 9463, + 10199 + ], + [ + 3549, + 8164 + ], + [ + 927, + 1392 + ], + [ + 1481, + 2732 + ], + [ + 307, + 6602 + ], + [ + 2669, + 7593 + ], + [ + 2913, + 7953 + ], + [ + 1481, + 6115 + ], + [ + 3227, + 9052 + ], + [ + 2322, + 6731 + ], + [ + 8516, + 8783 + ], + [ + 4223, + 11491 + ], + [ + 165, + 2762 + ], + [ + 5336, + 10351 + ], + [ + 5649, + 8596 + ], + [ + 7419, + 9675 + ], + [ + 1254, + 3857 + ], + [ + 9528, + 10974 + ], + [ + 5123, + 6271 + ], + [ + 6976, + 9105 + ], + [ + 339, + 4231 + ], + [ + 1438, + 9801 + ], + [ + 7076, + 9686 + ], + [ + 6670, + 8998 + ], + [ + 3055, + 10638 + ], + [ + 3487, + 6131 + ], + [ + 3702, + 8005 + ], + [ + 2867, + 10587 + ], + [ + 873, + 4138 + ], + [ + 8006, + 9593 + ], + [ + 8023, + 10728 + ], + [ + 3334, + 7020 + ], + [ + 5725, + 6497 + ], + [ + 1205, + 9980 + ], + [ + 5750, + 8247 + ], + [ + 521, + 6315 + ], + [ + 2207, + 9201 + ], + [ + 7967, + 10769 + ], + [ + 5870, + 6097 + ], + [ + 4011, + 9110 + ], + [ + 21, + 5211 + ], + [ + 9771, + 10678 + ], + [ + 2694, + 7784 + ], + [ + 4972, + 8330 + ], + [ + 3917, + 9448 + ], + [ + 2348, + 11311 + ], + [ + 555, + 8528 + ], + [ + 8490, + 9009 + ], + [ + 5710, + 5815 + ], + [ + 1068, + 3451 + ], + [ + 4220, + 7005 + ], + [ + 1500, + 3108 + ], + [ + 6233, + 7842 + ], + [ + 1229, + 2056 + ], + [ + 1163, + 3688 + ], + [ + 2592, + 10890 + ], + [ + 3867, + 8580 + ], + [ + 376, + 5560 + ], + [ + 5828, + 6975 + ], + [ + 2875, + 11178 + ], + [ + 6411, + 6801 + ], + [ + 10084, + 10801 + ], + [ + 934, + 7019 + ], + [ + 230, + 2702 + ], + [ + 2706, + 4761 + ], + [ + 4550, + 8987 + ], + [ + 1866, + 7753 + ], + [ + 8065, + 10149 + ], + [ + 4789, + 11255 + ], + [ + 10143, + 11381 + ], + [ + 6129, + 7088 + ], + [ + 1745, + 3262 + ], + [ + 3608, + 6784 + ], + [ + 3047, + 8437 + ], + [ + 8067, + 10195 + ], + [ + 6097, + 7550 + ], + [ + 2931, + 4290 + ], + [ + 2327, + 9279 + ], + [ + 149, + 269 + ], + [ + 4789, + 8222 + ], + [ + 4730, + 11025 + ], + [ + 4138, + 6949 + ], + [ + 8835, + 9020 + ], + [ + 6120, + 6221 + ], + [ + 329, + 8723 + ], + [ + 3414, + 3885 + ], + [ + 2378, + 9217 + ], + [ + 1357, + 2749 + ], + [ + 10966, + 11017 + ], + [ + 8036, + 10508 + ], + [ + 2186, + 6014 + ], + [ + 2561, + 5137 + ], + [ + 2822, + 9608 + ], + [ + 4061, + 5389 + ], + [ + 6208, + 8670 + ], + [ + 5050, + 5903 + ], + [ + 4924, + 9736 + ], + [ + 2897, + 10721 + ], + [ + 636, + 3366 + ], + [ + 1694, + 2519 + ], + [ + 7078, + 11155 + ], + [ + 509, + 7728 + ], + [ + 530, + 2189 + ], + [ + 2902, + 8032 + ], + [ + 1775, + 6830 + ], + [ + 1336, + 10166 + ], + [ + 1250, + 8894 + ], + [ + 3368, + 7273 + ], + [ + 2053, + 6774 + ], + [ + 3264, + 6169 + ], + [ + 275, + 10715 + ], + [ + 1092, + 10937 + ], + [ + 1137, + 3540 + ], + [ + 7566, + 11094 + ], + [ + 2549, + 7355 + ], + [ + 1239, + 7200 + ], + [ + 178, + 7749 + ], + [ + 6430, + 9779 + ], + [ + 8727, + 10375 + ], + [ + 270, + 10721 + ], + [ + 661, + 3961 + ], + [ + 1328, + 3458 + ], + [ + 2787, + 7119 + ], + [ + 8351, + 11027 + ], + [ + 794, + 2770 + ], + [ + 2777, + 11312 + ], + [ + 6509, + 11011 + ], + [ + 4217, + 4343 + ], + [ + 413, + 3078 + ], + [ + 757, + 7806 + ], + [ + 3522, + 3552 + ], + [ + 10834, + 11224 + ], + [ + 1128, + 5275 + ], + [ + 3634, + 7176 + ], + [ + 3857, + 8911 + ], + [ + 1149, + 3119 + ], + [ + 4411, + 10251 + ], + [ + 6534, + 9728 + ], + [ + 395, + 5131 + ], + [ + 10926, + 11163 + ], + [ + 2387, + 11507 + ], + [ + 8185, + 9395 + ], + [ + 3142, + 10851 + ], + [ + 186, + 4203 + ], + [ + 277, + 10737 + ], + [ + 2677, + 8048 + ], + [ + 347, + 11476 + ], + [ + 7374, + 10119 + ], + [ + 2011, + 5743 + ], + [ + 4626, + 11344 + ], + [ + 9056, + 9099 + ], + [ + 6597, + 10427 + ], + [ + 1802, + 5569 + ], + [ + 766, + 10147 + ], + [ + 1958, + 6082 + ], + [ + 456, + 2751 + ], + [ + 1380, + 5876 + ], + [ + 9628, + 11018 + ], + [ + 3635, + 11134 + ], + [ + 5800, + 8578 + ], + [ + 6703, + 10072 + ], + [ + 2104, + 2120 + ], + [ + 5247, + 7840 + ], + [ + 970, + 3911 + ], + [ + 3872, + 7290 + ], + [ + 3619, + 9096 + ], + [ + 66, + 5198 + ], + [ + 157, + 4562 + ], + [ + 2053, + 4814 + ], + [ + 375, + 5953 + ], + [ + 2462, + 2767 + ], + [ + 4677, + 5216 + ], + [ + 4362, + 10308 + ], + [ + 9081, + 9694 + ], + [ + 2768, + 10394 + ], + [ + 3143, + 9517 + ], + [ + 7054, + 10679 + ], + [ + 2768, + 3978 + ], + [ + 8843, + 11034 + ], + [ + 1270, + 10188 + ], + [ + 4916, + 8615 + ], + [ + 872, + 7109 + ], + [ + 1571, + 4666 + ], + [ + 6092, + 11207 + ], + [ + 9418, + 9464 + ], + [ + 4688, + 5001 + ], + [ + 1166, + 6832 + ], + [ + 9144, + 11147 + ], + [ + 5099, + 6787 + ], + [ + 2506, + 4917 + ], + [ + 9290, + 10218 + ], + [ + 574, + 2756 + ], + [ + 1852, + 4127 + ], + [ + 644, + 1997 + ], + [ + 7123, + 8914 + ], + [ + 2723, + 6837 + ], + [ + 6093, + 11028 + ], + [ + 4252, + 8985 + ], + [ + 5150, + 10135 + ], + [ + 1685, + 1920 + ], + [ + 5153, + 10406 + ], + [ + 6199, + 11454 + ], + [ + 1379, + 8229 + ], + [ + 6235, + 10330 + ], + [ + 7197, + 7523 + ], + [ + 2240, + 10251 + ], + [ + 1565, + 10836 + ], + [ + 2496, + 7962 + ], + [ + 1126, + 7002 + ], + [ + 4321, + 8748 + ], + [ + 1771, + 10712 + ], + [ + 7313, + 8637 + ], + [ + 692, + 4266 + ], + [ + 4948, + 8846 + ], + [ + 674, + 9352 + ], + [ + 858, + 4743 + ], + [ + 5916, + 9237 + ], + [ + 3667, + 7177 + ], + [ + 8483, + 11414 + ], + [ + 274, + 5446 + ], + [ + 3195, + 8121 + ], + [ + 55, + 3830 + ], + [ + 53, + 3003 + ], + [ + 9540, + 10342 + ], + [ + 5524, + 10884 + ], + [ + 5689, + 6979 + ], + [ + 2884, + 7670 + ], + [ + 4866, + 6188 + ], + [ + 5120, + 10242 + ], + [ + 7463, + 11183 + ], + [ + 457, + 11165 + ], + [ + 1723, + 10267 + ], + [ + 9161, + 10696 + ], + [ + 8851, + 9716 + ], + [ + 6482, + 7554 + ], + [ + 1321, + 10452 + ], + [ + 469, + 11175 + ], + [ + 1807, + 6181 + ], + [ + 7013, + 10573 + ], + [ + 4580, + 6706 + ], + [ + 2144, + 2568 + ], + [ + 1617, + 10221 + ], + [ + 908, + 4806 + ], + [ + 7532, + 8694 + ], + [ + 1054, + 11047 + ], + [ + 3294, + 11109 + ], + [ + 1838, + 11129 + ], + [ + 2554, + 4129 + ], + [ + 159, + 2998 + ], + [ + 8503, + 8602 + ], + [ + 2701, + 6808 + ], + [ + 1770, + 9682 + ], + [ + 497, + 2993 + ], + [ + 151, + 6520 + ], + [ + 4354, + 7302 + ], + [ + 4631, + 5890 + ], + [ + 4352, + 6475 + ], + [ + 4283, + 8590 + ], + [ + 5809, + 10063 + ], + [ + 704, + 9887 + ], + [ + 8462, + 9732 + ], + [ + 2605, + 10483 + ], + [ + 5835, + 9032 + ], + [ + 9694, + 10004 + ], + [ + 263, + 5980 + ], + [ + 1302, + 5083 + ], + [ + 175, + 3881 + ], + [ + 3253, + 4288 + ], + [ + 2101, + 5473 + ], + [ + 2970, + 5885 + ], + [ + 2911, + 4524 + ], + [ + 941, + 6043 + ], + [ + 3964, + 7497 + ], + [ + 4715, + 5187 + ], + [ + 6982, + 7072 + ], + [ + 3090, + 3708 + ], + [ + 65, + 5591 + ], + [ + 373, + 3492 + ], + [ + 3678, + 3878 + ], + [ + 10214, + 11329 + ], + [ + 138, + 10765 + ], + [ + 1095, + 6860 + ], + [ + 7626, + 10557 + ], + [ + 1058, + 7732 + ], + [ + 5101, + 11265 + ], + [ + 130, + 10123 + ], + [ + 5388, + 8289 + ], + [ + 6446, + 6688 + ], + [ + 6157, + 6585 + ], + [ + 343, + 4754 + ], + [ + 3977, + 7328 + ], + [ + 1112, + 7214 + ], + [ + 6103, + 10486 + ], + [ + 2142, + 4319 + ], + [ + 825, + 7157 + ], + [ + 184, + 7326 + ], + [ + 2441, + 8523 + ], + [ + 4151, + 8770 + ], + [ + 2274, + 6316 + ], + [ + 10561, + 11386 + ], + [ + 6850, + 10312 + ], + [ + 1838, + 2753 + ], + [ + 1313, + 4063 + ], + [ + 9196, + 11524 + ], + [ + 1061, + 9477 + ], + [ + 1040, + 8600 + ], + [ + 2155, + 8287 + ], + [ + 2248, + 8478 + ], + [ + 4263, + 5978 + ], + [ + 9336, + 10780 + ], + [ + 6533, + 11544 + ], + [ + 3140, + 5649 + ], + [ + 4568, + 9997 + ], + [ + 2044, + 3760 + ], + [ + 2608, + 5788 + ], + [ + 2700, + 8760 + ], + [ + 1647, + 3535 + ], + [ + 5931, + 10163 + ], + [ + 2634, + 10392 + ], + [ + 960, + 2605 + ], + [ + 3816, + 11301 + ], + [ + 213, + 1624 + ], + [ + 1851, + 6748 + ], + [ + 5899, + 11379 + ], + [ + 3719, + 4952 + ], + [ + 7206, + 10482 + ], + [ + 2328, + 10285 + ], + [ + 9878, + 10201 + ], + [ + 5150, + 6565 + ], + [ + 1144, + 8549 + ], + [ + 6798, + 8967 + ], + [ + 363, + 1568 + ], + [ + 485, + 9667 + ], + [ + 10190, + 11227 + ], + [ + 6637, + 11493 + ], + [ + 2595, + 5152 + ], + [ + 4954, + 6626 + ], + [ + 3971, + 9310 + ], + [ + 3522, + 11204 + ], + [ + 7543, + 11006 + ], + [ + 1065, + 2779 + ], + [ + 4210, + 4408 + ], + [ + 1625, + 7317 + ], + [ + 3956, + 4491 + ], + [ + 65, + 3981 + ], + [ + 347, + 2913 + ], + [ + 8399, + 8897 + ], + [ + 2810, + 8874 + ], + [ + 5007, + 5856 + ], + [ + 8179, + 10062 + ], + [ + 1209, + 5537 + ], + [ + 2575, + 2591 + ], + [ + 1582, + 4587 + ], + [ + 4885, + 7556 + ], + [ + 4938, + 11354 + ], + [ + 2978, + 9397 + ], + [ + 1245, + 11583 + ], + [ + 2983, + 7489 + ], + [ + 10787, + 11459 + ], + [ + 2532, + 2894 + ], + [ + 949, + 1641 + ], + [ + 9503, + 10273 + ], + [ + 6979, + 11206 + ], + [ + 614, + 10962 + ], + [ + 3128, + 3679 + ], + [ + 9315, + 10976 + ], + [ + 8568, + 9241 + ], + [ + 8547, + 9118 + ], + [ + 4366, + 4897 + ], + [ + 1594, + 7980 + ], + [ + 785, + 5367 + ], + [ + 5852, + 6971 + ], + [ + 1225, + 3387 + ], + [ + 37, + 11331 + ], + [ + 11029, + 11342 + ], + [ + 7189, + 8168 + ], + [ + 2956, + 10927 + ], + [ + 3744, + 6247 + ], + [ + 3245, + 4614 + ], + [ + 2185, + 2382 + ], + [ + 4291, + 6416 + ], + [ + 7035, + 7701 + ], + [ + 435, + 9125 + ], + [ + 5505, + 9492 + ], + [ + 4760, + 5174 + ], + [ + 5917, + 7716 + ], + [ + 3732, + 8115 + ], + [ + 7818, + 8312 + ], + [ + 5511, + 7028 + ], + [ + 179, + 4217 + ], + [ + 5820, + 7783 + ], + [ + 3038, + 10178 + ], + [ + 1799, + 2319 + ], + [ + 2413, + 3710 + ], + [ + 860, + 3797 + ], + [ + 6147, + 9117 + ], + [ + 8692, + 10946 + ], + [ + 825, + 8125 + ], + [ + 541, + 1950 + ], + [ + 4708, + 7993 + ], + [ + 1592, + 4096 + ], + [ + 6335, + 9518 + ], + [ + 8384, + 10012 + ], + [ + 838, + 1944 + ], + [ + 4542, + 6011 + ], + [ + 1369, + 7996 + ], + [ + 6847, + 10632 + ], + [ + 804, + 5743 + ], + [ + 4200, + 5493 + ], + [ + 844, + 8525 + ], + [ + 9426, + 11291 + ], + [ + 1310, + 1350 + ], + [ + 6315, + 7738 + ], + [ + 3944, + 11165 + ], + [ + 1580, + 2931 + ], + [ + 5974, + 7445 + ], + [ + 3665, + 5334 + ], + [ + 1117, + 1709 + ], + [ + 1020, + 1776 + ], + [ + 182, + 677 + ], + [ + 116, + 2309 + ], + [ + 5683, + 9898 + ], + [ + 3164, + 4759 + ], + [ + 2529, + 4019 + ], + [ + 882, + 10887 + ], + [ + 1291, + 5430 + ], + [ + 3942, + 10688 + ], + [ + 5336, + 9790 + ], + [ + 112, + 8202 + ], + [ + 3025, + 11016 + ], + [ + 5590, + 10838 + ], + [ + 2311, + 6011 + ], + [ + 6079, + 7619 + ], + [ + 7763, + 9678 + ], + [ + 798, + 5497 + ], + [ + 1937, + 9742 + ], + [ + 7632, + 10161 + ], + [ + 1510, + 7423 + ], + [ + 6855, + 10469 + ], + [ + 3592, + 10282 + ], + [ + 1656, + 10631 + ], + [ + 2831, + 10369 + ], + [ + 2858, + 6530 + ], + [ + 1079, + 1201 + ], + [ + 6374, + 10546 + ], + [ + 3022, + 11068 + ], + [ + 7933, + 10624 + ], + [ + 8714, + 11189 + ], + [ + 5094, + 6069 + ], + [ + 1475, + 7967 + ], + [ + 4312, + 5279 + ], + [ + 2875, + 3851 + ], + [ + 9887, + 11231 + ], + [ + 6050, + 7574 + ], + [ + 4811, + 6131 + ], + [ + 1043, + 4523 + ], + [ + 919, + 9183 + ], + [ + 234, + 9080 + ], + [ + 4056, + 4535 + ], + [ + 3116, + 3913 + ], + [ + 4639, + 10750 + ], + [ + 5009, + 9529 + ], + [ + 2586, + 10514 + ], + [ + 6672, + 10711 + ], + [ + 5268, + 10921 + ], + [ + 1617, + 10652 + ], + [ + 7198, + 10003 + ], + [ + 2232, + 8481 + ], + [ + 7374, + 11168 + ], + [ + 5378, + 8056 + ], + [ + 1087, + 4421 + ], + [ + 61, + 10441 + ], + [ + 3005, + 8404 + ], + [ + 3395, + 8559 + ], + [ + 6150, + 10787 + ], + [ + 3047, + 11259 + ], + [ + 1755, + 6048 + ], + [ + 6746, + 8566 + ], + [ + 8086, + 10815 + ], + [ + 4149, + 9960 + ], + [ + 1973, + 10822 + ], + [ + 1013, + 2378 + ], + [ + 8604, + 9465 + ], + [ + 7234, + 8505 + ], + [ + 233, + 4667 + ], + [ + 6451, + 7867 + ], + [ + 3519, + 6531 + ], + [ + 223, + 946 + ], + [ + 1248, + 10539 + ], + [ + 3523, + 10033 + ], + [ + 2391, + 8487 + ], + [ + 676, + 10498 + ], + [ + 674, + 8173 + ], + [ + 4872, + 8611 + ], + [ + 3101, + 7307 + ], + [ + 554, + 6536 + ], + [ + 1352, + 10488 + ], + [ + 3038, + 6958 + ], + [ + 4180, + 4304 + ], + [ + 3254, + 5270 + ], + [ + 661, + 9816 + ], + [ + 5800, + 8822 + ], + [ + 1851, + 1918 + ], + [ + 1909, + 8312 + ], + [ + 5983, + 11158 + ], + [ + 3648, + 7826 + ], + [ + 9814, + 10082 + ], + [ + 349, + 11392 + ], + [ + 4523, + 8026 + ], + [ + 4707, + 9833 + ], + [ + 7511, + 9671 + ], + [ + 3144, + 9232 + ], + [ + 9214, + 9528 + ], + [ + 6662, + 8413 + ], + [ + 4382, + 4788 + ], + [ + 7377, + 10610 + ], + [ + 2234, + 9950 + ], + [ + 2337, + 11583 + ], + [ + 3483, + 5665 + ], + [ + 6189, + 11384 + ], + [ + 4878, + 7621 + ], + [ + 2230, + 6044 + ], + [ + 395, + 1537 + ], + [ + 2256, + 8396 + ], + [ + 5972, + 9814 + ], + [ + 2443, + 10474 + ], + [ + 1570, + 4658 + ], + [ + 4407, + 6888 + ], + [ + 3252, + 10054 + ], + [ + 8916, + 11160 + ], + [ + 6146, + 8654 + ], + [ + 4427, + 9792 + ], + [ + 5390, + 9839 + ], + [ + 4552, + 8740 + ], + [ + 6890, + 9337 + ], + [ + 1311, + 9278 + ], + [ + 5366, + 8664 + ], + [ + 8253, + 9503 + ], + [ + 5481, + 6170 + ], + [ + 6436, + 7854 + ], + [ + 3767, + 7652 + ], + [ + 3894, + 7427 + ], + [ + 3234, + 8320 + ], + [ + 801, + 10869 + ], + [ + 3012, + 10193 + ], + [ + 3782, + 5681 + ], + [ + 1731, + 2108 + ], + [ + 5466, + 7740 + ], + [ + 2725, + 2966 + ], + [ + 1171, + 6615 + ], + [ + 5988, + 9542 + ], + [ + 47, + 3432 + ], + [ + 1439, + 1707 + ], + [ + 1700, + 6178 + ], + [ + 84, + 8195 + ], + [ + 459, + 8072 + ], + [ + 10528, + 10848 + ], + [ + 6796, + 8897 + ], + [ + 5118, + 10790 + ], + [ + 1723, + 7478 + ], + [ + 3514, + 10188 + ], + [ + 1895, + 2108 + ], + [ + 527, + 1975 + ], + [ + 9644, + 10535 + ], + [ + 8589, + 10899 + ], + [ + 6311, + 11484 + ], + [ + 1013, + 1841 + ], + [ + 9517, + 11110 + ], + [ + 386, + 5126 + ], + [ + 2794, + 7216 + ], + [ + 5872, + 7623 + ], + [ + 4346, + 6904 + ], + [ + 545, + 2904 + ], + [ + 737, + 9490 + ], + [ + 78, + 10608 + ], + [ + 1384, + 6857 + ], + [ + 5556, + 6828 + ], + [ + 8828, + 10484 + ], + [ + 5426, + 10919 + ], + [ + 5615, + 7408 + ], + [ + 8359, + 8693 + ], + [ + 850, + 3890 + ], + [ + 3212, + 4881 + ], + [ + 540, + 2910 + ], + [ + 9662, + 11060 + ], + [ + 2494, + 6550 + ], + [ + 2499, + 6894 + ], + [ + 377, + 4609 + ], + [ + 4984, + 10170 + ], + [ + 2671, + 11323 + ], + [ + 2672, + 7761 + ], + [ + 461, + 6939 + ], + [ + 5001, + 10524 + ], + [ + 1054, + 7453 + ], + [ + 1386, + 5748 + ], + [ + 372, + 6867 + ], + [ + 890, + 8550 + ], + [ + 9668, + 10474 + ], + [ + 5688, + 10673 + ], + [ + 1756, + 7910 + ], + [ + 3289, + 4138 + ], + [ + 3596, + 4066 + ], + [ + 3620, + 8624 + ], + [ + 1944, + 11344 + ], + [ + 387, + 4142 + ], + [ + 6508, + 7409 + ], + [ + 3612, + 7982 + ], + [ + 2361, + 2772 + ], + [ + 6985, + 10192 + ], + [ + 4209, + 9369 + ], + [ + 2275, + 6381 + ], + [ + 2084, + 9819 + ], + [ + 3543, + 7064 + ], + [ + 905, + 6175 + ], + [ + 55, + 7725 + ], + [ + 2434, + 11329 + ], + [ + 4046, + 4652 + ], + [ + 770, + 9922 + ], + [ + 801, + 5071 + ], + [ + 2970, + 4169 + ], + [ + 5184, + 9426 + ], + [ + 6653, + 9611 + ], + [ + 7775, + 10469 + ], + [ + 3749, + 3907 + ], + [ + 7245, + 7271 + ], + [ + 736, + 1643 + ], + [ + 584, + 10671 + ], + [ + 2757, + 6505 + ], + [ + 264, + 1833 + ], + [ + 6399, + 9694 + ], + [ + 6053, + 9057 + ], + [ + 1178, + 7623 + ], + [ + 6524, + 7888 + ], + [ + 2697, + 5673 + ], + [ + 5584, + 9518 + ], + [ + 1482, + 8788 + ], + [ + 3070, + 3969 + ], + [ + 103, + 3578 + ], + [ + 1937, + 2952 + ], + [ + 1436, + 4656 + ], + [ + 5615, + 5798 + ], + [ + 3094, + 5494 + ], + [ + 4424, + 7055 + ], + [ + 10860, + 10892 + ], + [ + 1832, + 8039 + ], + [ + 4387, + 7173 + ], + [ + 190, + 9589 + ], + [ + 6845, + 8626 + ], + [ + 3427, + 8528 + ], + [ + 581, + 2048 + ], + [ + 5873, + 6214 + ], + [ + 215, + 8306 + ], + [ + 7921, + 8735 + ], + [ + 2764, + 9123 + ], + [ + 5219, + 10305 + ], + [ + 5281, + 5521 + ], + [ + 3032, + 3461 + ], + [ + 3276, + 3821 + ], + [ + 390, + 10000 + ], + [ + 1723, + 10324 + ], + [ + 754, + 10462 + ], + [ + 1783, + 4713 + ], + [ + 162, + 6386 + ], + [ + 2316, + 5176 + ], + [ + 1096, + 7947 + ], + [ + 3675, + 7475 + ], + [ + 2057, + 6413 + ], + [ + 5983, + 9361 + ], + [ + 4672, + 5598 + ], + [ + 1343, + 1408 + ], + [ + 7545, + 9737 + ], + [ + 2621, + 2779 + ], + [ + 6633, + 10409 + ], + [ + 4357, + 10690 + ], + [ + 4088, + 6301 + ], + [ + 616, + 7495 + ], + [ + 3864, + 4341 + ], + [ + 3273, + 10289 + ], + [ + 2364, + 10478 + ], + [ + 5633, + 8201 + ], + [ + 86, + 7680 + ], + [ + 1777, + 10910 + ], + [ + 1493, + 11151 + ], + [ + 9265, + 10702 + ], + [ + 2106, + 9688 + ], + [ + 3513, + 6743 + ], + [ + 6317, + 8833 + ], + [ + 7184, + 8418 + ], + [ + 2131, + 5022 + ], + [ + 2793, + 3421 + ], + [ + 861, + 1260 + ], + [ + 3543, + 8837 + ], + [ + 7400, + 8982 + ], + [ + 924, + 5746 + ], + [ + 927, + 5263 + ], + [ + 5898, + 6405 + ], + [ + 889, + 2527 + ], + [ + 4177, + 5218 + ], + [ + 3352, + 8488 + ], + [ + 314, + 340 + ], + [ + 4458, + 10341 + ], + [ + 4339, + 8929 + ], + [ + 4955, + 11147 + ], + [ + 1691, + 7352 + ], + [ + 232, + 1439 + ], + [ + 1078, + 2399 + ], + [ + 407, + 6166 + ], + [ + 5523, + 7632 + ], + [ + 6987, + 7473 + ], + [ + 4888, + 6892 + ], + [ + 3639, + 4007 + ], + [ + 3612, + 5567 + ], + [ + 4790, + 8986 + ], + [ + 3305, + 8268 + ], + [ + 9776, + 11160 + ], + [ + 1368, + 2353 + ], + [ + 1586, + 3744 + ], + [ + 1651, + 8303 + ], + [ + 2776, + 8678 + ], + [ + 1022, + 10761 + ], + [ + 3104, + 7231 + ], + [ + 6304, + 10075 + ], + [ + 1209, + 10587 + ], + [ + 3009, + 3961 + ], + [ + 3704, + 5506 + ], + [ + 3506, + 4767 + ], + [ + 6871, + 9368 + ], + [ + 245, + 4653 + ], + [ + 10508, + 11459 + ], + [ + 1418, + 8482 + ], + [ + 2350, + 8462 + ], + [ + 1538, + 6332 + ], + [ + 4901, + 10106 + ], + [ + 4443, + 9228 + ], + [ + 448, + 1979 + ], + [ + 4775, + 5271 + ], + [ + 611, + 10079 + ], + [ + 5021, + 8710 + ], + [ + 3033, + 9623 + ], + [ + 3650, + 10531 + ], + [ + 4278, + 7848 + ], + [ + 5419, + 8756 + ], + [ + 5680, + 6811 + ], + [ + 4276, + 7021 + ], + [ + 9873, + 11069 + ], + [ + 9718, + 10000 + ], + [ + 4608, + 9480 + ], + [ + 999, + 3021 + ], + [ + 6503, + 6878 + ], + [ + 5635, + 7068 + ], + [ + 8033, + 8470 + ], + [ + 2346, + 11322 + ], + [ + 3863, + 8545 + ], + [ + 7027, + 8726 + ], + [ + 6505, + 9553 + ], + [ + 3296, + 3967 + ], + [ + 2733, + 11209 + ], + [ + 6503, + 7228 + ], + [ + 5563, + 8104 + ], + [ + 88, + 9149 + ], + [ + 3541, + 9433 + ], + [ + 1041, + 1338 + ], + [ + 5223, + 8413 + ], + [ + 2035, + 9366 + ], + [ + 1039, + 1265 + ], + [ + 3377, + 5245 + ], + [ + 5001, + 6499 + ], + [ + 1627, + 11234 + ], + [ + 6613, + 6992 + ], + [ + 7547, + 7799 + ], + [ + 818, + 2205 + ], + [ + 3803, + 7339 + ], + [ + 320, + 1928 + ], + [ + 4621, + 10415 + ], + [ + 1989, + 2955 + ], + [ + 4399, + 5118 + ], + [ + 9533, + 10196 + ], + [ + 541, + 7000 + ], + [ + 787, + 4023 + ], + [ + 1537, + 5275 + ], + [ + 1681, + 2021 + ], + [ + 5323, + 10872 + ], + [ + 7157, + 10246 + ], + [ + 10763, + 10772 + ], + [ + 6810, + 9384 + ], + [ + 1151, + 2206 + ], + [ + 4038, + 6051 + ], + [ + 2024, + 11405 + ], + [ + 3471, + 7135 + ], + [ + 8801, + 9873 + ], + [ + 391, + 5901 + ], + [ + 5714, + 10878 + ], + [ + 6550, + 11150 + ], + [ + 9352, + 10161 + ], + [ + 4746, + 8208 + ], + [ + 3262, + 6180 + ], + [ + 2875, + 9706 + ], + [ + 299, + 9695 + ], + [ + 786, + 3397 + ], + [ + 4782, + 7084 + ], + [ + 5549, + 9471 + ], + [ + 62, + 5968 + ], + [ + 1676, + 7288 + ], + [ + 903, + 10748 + ], + [ + 3728, + 7299 + ], + [ + 718, + 10968 + ], + [ + 146, + 1882 + ], + [ + 4318, + 7515 + ], + [ + 9760, + 10494 + ], + [ + 1544, + 7519 + ], + [ + 337, + 8243 + ], + [ + 676, + 1293 + ], + [ + 6343, + 6834 + ], + [ + 1883, + 3952 + ], + [ + 231, + 10476 + ], + [ + 4522, + 7695 + ], + [ + 8224, + 8683 + ], + [ + 287, + 7375 + ], + [ + 4184, + 4667 + ], + [ + 6885, + 10042 + ], + [ + 2192, + 8090 + ], + [ + 254, + 8366 + ], + [ + 3580, + 6623 + ], + [ + 536, + 5046 + ], + [ + 441, + 8192 + ], + [ + 2862, + 4128 + ], + [ + 224, + 10409 + ], + [ + 2545, + 8393 + ], + [ + 530, + 7483 + ], + [ + 1239, + 5728 + ], + [ + 4291, + 5668 + ], + [ + 8745, + 10233 + ], + [ + 187, + 4111 + ], + [ + 206, + 8325 + ], + [ + 2267, + 6170 + ], + [ + 3917, + 9399 + ], + [ + 8810, + 9130 + ], + [ + 159, + 2063 + ], + [ + 5601, + 9206 + ], + [ + 3264, + 5047 + ], + [ + 8429, + 9438 + ], + [ + 9043, + 10829 + ], + [ + 1135, + 11390 + ], + [ + 230, + 2653 + ], + [ + 979, + 1428 + ], + [ + 4970, + 11187 + ], + [ + 201, + 1134 + ], + [ + 2035, + 3918 + ], + [ + 572, + 2767 + ], + [ + 2437, + 7870 + ], + [ + 3407, + 10586 + ], + [ + 845, + 8783 + ], + [ + 6478, + 8324 + ], + [ + 617, + 5169 + ], + [ + 374, + 6165 + ], + [ + 1592, + 6731 + ], + [ + 1181, + 1535 + ], + [ + 1805, + 7778 + ], + [ + 8616, + 11492 + ], + [ + 2508, + 8460 + ], + [ + 1859, + 8014 + ], + [ + 2010, + 8183 + ], + [ + 2137, + 9456 + ], + [ + 545, + 3953 + ], + [ + 7580, + 8873 + ], + [ + 4466, + 6557 + ], + [ + 4001, + 10170 + ], + [ + 5133, + 5300 + ], + [ + 6052, + 11491 + ], + [ + 3816, + 8138 + ], + [ + 3528, + 10889 + ], + [ + 3652, + 6983 + ], + [ + 6728, + 7317 + ], + [ + 267, + 5113 + ], + [ + 1139, + 11458 + ], + [ + 2882, + 10714 + ], + [ + 3431, + 5294 + ], + [ + 4578, + 7148 + ], + [ + 533, + 2788 + ], + [ + 3423, + 10314 + ], + [ + 8592, + 9162 + ], + [ + 5106, + 6486 + ], + [ + 66, + 1043 + ], + [ + 4042, + 9770 + ], + [ + 954, + 1505 + ], + [ + 3575, + 10304 + ], + [ + 4012, + 11059 + ], + [ + 1274, + 6556 + ], + [ + 3043, + 4781 + ], + [ + 3796, + 9714 + ], + [ + 275, + 1567 + ], + [ + 8389, + 10681 + ], + [ + 5868, + 8125 + ], + [ + 7836, + 9943 + ], + [ + 758, + 4195 + ], + [ + 6764, + 9202 + ], + [ + 3870, + 4186 + ], + [ + 3725, + 7969 + ], + [ + 1875, + 10344 + ], + [ + 734, + 9436 + ], + [ + 1684, + 4360 + ], + [ + 7081, + 8320 + ], + [ + 603, + 4257 + ], + [ + 7633, + 8833 + ], + [ + 1186, + 6335 + ], + [ + 5766, + 7067 + ], + [ + 9845, + 11011 + ], + [ + 2221, + 7948 + ], + [ + 196, + 5596 + ], + [ + 4855, + 4931 + ], + [ + 495, + 5663 + ], + [ + 4142, + 9196 + ], + [ + 5919, + 11446 + ], + [ + 413, + 6762 + ], + [ + 1244, + 6690 + ], + [ + 5783, + 8175 + ], + [ + 1581, + 3077 + ], + [ + 2184, + 11449 + ], + [ + 7584, + 7786 + ], + [ + 4669, + 8309 + ], + [ + 7179, + 9952 + ], + [ + 6403, + 7479 + ], + [ + 10699, + 11458 + ], + [ + 4340, + 8807 + ], + [ + 1764, + 9550 + ], + [ + 8610, + 11565 + ], + [ + 8486, + 9809 + ], + [ + 1134, + 9154 + ], + [ + 2653, + 6450 + ], + [ + 1753, + 4473 + ], + [ + 853, + 6660 + ], + [ + 2071, + 3062 + ], + [ + 825, + 11028 + ], + [ + 478, + 1121 + ], + [ + 7363, + 9480 + ], + [ + 2509, + 6671 + ], + [ + 7669, + 10718 + ], + [ + 3536, + 4259 + ], + [ + 5339, + 7730 + ], + [ + 5399, + 7781 + ], + [ + 5891, + 8243 + ], + [ + 8036, + 9199 + ], + [ + 1124, + 11068 + ], + [ + 1835, + 3724 + ], + [ + 3954, + 11373 + ], + [ + 353, + 2523 + ], + [ + 1657, + 11531 + ], + [ + 2410, + 9294 + ], + [ + 4461, + 10615 + ], + [ + 605, + 9160 + ], + [ + 8597, + 10929 + ], + [ + 9084, + 10293 + ], + [ + 7596, + 11529 + ], + [ + 931, + 1224 + ], + [ + 278, + 3288 + ], + [ + 2239, + 10351 + ], + [ + 10759, + 11485 + ], + [ + 4940, + 9310 + ], + [ + 7400, + 10836 + ], + [ + 934, + 8288 + ], + [ + 3350, + 10296 + ], + [ + 2194, + 4192 + ], + [ + 6587, + 9235 + ], + [ + 546, + 7425 + ], + [ + 5434, + 6812 + ], + [ + 1136, + 5012 + ], + [ + 4773, + 7103 + ], + [ + 5375, + 5451 + ], + [ + 7042, + 9815 + ], + [ + 3685, + 9993 + ], + [ + 1453, + 3376 + ], + [ + 5737, + 10004 + ], + [ + 7547, + 8230 + ], + [ + 2726, + 4403 + ], + [ + 702, + 4905 + ], + [ + 1822, + 9100 + ], + [ + 1533, + 4833 + ], + [ + 1909, + 7564 + ], + [ + 8848, + 10524 + ], + [ + 10131, + 11485 + ], + [ + 4995, + 6334 + ], + [ + 2058, + 11070 + ], + [ + 1929, + 8216 + ], + [ + 3173, + 10757 + ], + [ + 5948, + 11355 + ], + [ + 662, + 8889 + ], + [ + 3453, + 6610 + ], + [ + 4826, + 4835 + ], + [ + 935, + 10741 + ], + [ + 9529, + 10104 + ], + [ + 7841, + 10555 + ], + [ + 6817, + 10986 + ], + [ + 2512, + 5763 + ], + [ + 963, + 9756 + ], + [ + 8117, + 9672 + ], + [ + 1307, + 3150 + ], + [ + 6863, + 7197 + ], + [ + 3177, + 7843 + ], + [ + 3753, + 6498 + ], + [ + 2113, + 4711 + ], + [ + 4592, + 4789 + ], + [ + 4215, + 9003 + ], + [ + 3044, + 5220 + ], + [ + 2817, + 5995 + ], + [ + 2500, + 3844 + ], + [ + 423, + 6220 + ], + [ + 8659, + 9847 + ], + [ + 6487, + 8199 + ], + [ + 472, + 1194 + ], + [ + 1315, + 2637 + ], + [ + 7388, + 8866 + ], + [ + 7379, + 11032 + ], + [ + 1381, + 4388 + ], + [ + 3673, + 4640 + ], + [ + 63, + 6624 + ], + [ + 4916, + 6956 + ], + [ + 814, + 2062 + ], + [ + 1368, + 9818 + ], + [ + 3321, + 3434 + ], + [ + 98, + 6056 + ], + [ + 6254, + 7624 + ], + [ + 844, + 9818 + ], + [ + 1749, + 5723 + ], + [ + 4705, + 5201 + ], + [ + 961, + 11157 + ], + [ + 8995, + 9365 + ], + [ + 9148, + 9607 + ], + [ + 4850, + 5555 + ], + [ + 4629, + 9528 + ], + [ + 2017, + 10614 + ], + [ + 4469, + 8115 + ], + [ + 4653, + 7670 + ], + [ + 427, + 5184 + ], + [ + 3355, + 9030 + ], + [ + 3042, + 4369 + ], + [ + 10191, + 11111 + ], + [ + 4260, + 7941 + ], + [ + 2701, + 4076 + ], + [ + 3472, + 3953 + ], + [ + 6302, + 7264 + ], + [ + 8764, + 9617 + ], + [ + 10159, + 11573 + ], + [ + 3442, + 5242 + ], + [ + 5085, + 7300 + ], + [ + 1764, + 7135 + ], + [ + 7423, + 7897 + ], + [ + 288, + 1615 + ], + [ + 1729, + 10332 + ], + [ + 512, + 10368 + ], + [ + 1035, + 5979 + ], + [ + 7979, + 9283 + ], + [ + 1338, + 3536 + ], + [ + 5181, + 10391 + ], + [ + 562, + 3315 + ], + [ + 1996, + 5199 + ], + [ + 7880, + 8523 + ], + [ + 315, + 405 + ], + [ + 657, + 9968 + ], + [ + 2646, + 6247 + ], + [ + 2214, + 4338 + ], + [ + 1775, + 2756 + ], + [ + 3738, + 4230 + ], + [ + 10928, + 10973 + ], + [ + 3022, + 8978 + ], + [ + 4918, + 8476 + ], + [ + 3770, + 7151 + ], + [ + 2366, + 7361 + ], + [ + 124, + 6472 + ], + [ + 181, + 7006 + ], + [ + 9709, + 10182 + ], + [ + 10542, + 10937 + ], + [ + 877, + 4989 + ], + [ + 7594, + 9068 + ], + [ + 3824, + 6633 + ], + [ + 7807, + 10115 + ], + [ + 2017, + 6426 + ], + [ + 1210, + 4640 + ], + [ + 2961, + 7921 + ], + [ + 6377, + 8323 + ], + [ + 4715, + 10749 + ], + [ + 8553, + 10844 + ], + [ + 6306, + 9611 + ], + [ + 1358, + 1505 + ], + [ + 430, + 4650 + ], + [ + 2701, + 3271 + ], + [ + 10596, + 11523 + ], + [ + 8318, + 10977 + ], + [ + 3841, + 4708 + ], + [ + 1131, + 1499 + ], + [ + 2125, + 9527 + ], + [ + 2312, + 9353 + ], + [ + 787, + 11488 + ], + [ + 3576, + 6130 + ], + [ + 387, + 7582 + ], + [ + 8847, + 10917 + ], + [ + 9435, + 11087 + ], + [ + 5288, + 7204 + ], + [ + 4830, + 5572 + ], + [ + 2994, + 6125 + ], + [ + 4957, + 7599 + ], + [ + 5033, + 5931 + ], + [ + 1836, + 3358 + ], + [ + 4074, + 6757 + ], + [ + 748, + 2084 + ], + [ + 5748, + 8128 + ], + [ + 926, + 4076 + ], + [ + 1433, + 5570 + ], + [ + 4597, + 5751 + ], + [ + 3074, + 10965 + ], + [ + 51, + 7259 + ], + [ + 579, + 9630 + ], + [ + 4404, + 5356 + ], + [ + 1506, + 10020 + ], + [ + 7154, + 10593 + ], + [ + 4931, + 8256 + ], + [ + 4463, + 5936 + ], + [ + 101, + 4343 + ], + [ + 5056, + 10587 + ], + [ + 2649, + 11351 + ], + [ + 665, + 9754 + ], + [ + 3399, + 6187 + ], + [ + 5479, + 8246 + ], + [ + 2308, + 4642 + ], + [ + 2110, + 4657 + ], + [ + 6786, + 8103 + ], + [ + 10034, + 11365 + ], + [ + 1471, + 11315 + ], + [ + 4580, + 7625 + ], + [ + 8623, + 11158 + ], + [ + 8652, + 9644 + ], + [ + 3301, + 6783 + ], + [ + 5536, + 5747 + ], + [ + 3736, + 5957 + ], + [ + 8125, + 10127 + ], + [ + 1399, + 8968 + ], + [ + 1963, + 10996 + ], + [ + 430, + 9106 + ], + [ + 1542, + 2106 + ], + [ + 153, + 4102 + ], + [ + 1116, + 3395 + ], + [ + 8762, + 10189 + ], + [ + 4964, + 6460 + ], + [ + 4534, + 10259 + ], + [ + 1074, + 6552 + ], + [ + 1905, + 6480 + ], + [ + 545, + 6962 + ], + [ + 5863, + 7431 + ], + [ + 5894, + 6744 + ], + [ + 768, + 8697 + ], + [ + 534, + 8301 + ], + [ + 4343, + 10664 + ], + [ + 8968, + 10415 + ], + [ + 1437, + 4133 + ], + [ + 2304, + 10134 + ], + [ + 7164, + 7473 + ], + [ + 1067, + 5731 + ], + [ + 1146, + 10750 + ], + [ + 835, + 5381 + ], + [ + 776, + 8938 + ], + [ + 7581, + 8700 + ], + [ + 1464, + 6306 + ], + [ + 4222, + 8051 + ], + [ + 5435, + 8273 + ], + [ + 3640, + 8827 + ], + [ + 2697, + 10186 + ], + [ + 484, + 7783 + ], + [ + 2574, + 9032 + ], + [ + 2326, + 4766 + ], + [ + 4719, + 11486 + ], + [ + 1517, + 6317 + ], + [ + 7176, + 7833 + ], + [ + 1538, + 4161 + ], + [ + 540, + 5813 + ], + [ + 3468, + 9659 + ], + [ + 1782, + 6773 + ], + [ + 9101, + 9200 + ], + [ + 6305, + 7725 + ], + [ + 9908, + 10986 + ], + [ + 293, + 9319 + ], + [ + 1685, + 6840 + ], + [ + 105, + 11520 + ], + [ + 9028, + 10415 + ], + [ + 4955, + 8171 + ], + [ + 373, + 10022 + ], + [ + 4048, + 9187 + ], + [ + 880, + 11516 + ], + [ + 118, + 9503 + ], + [ + 368, + 2481 + ], + [ + 6400, + 6457 + ], + [ + 3044, + 9489 + ], + [ + 6435, + 8895 + ], + [ + 2923, + 11414 + ], + [ + 3888, + 7370 + ], + [ + 2391, + 11553 + ], + [ + 3730, + 4532 + ], + [ + 762, + 9955 + ], + [ + 3200, + 7750 + ], + [ + 832, + 8442 + ], + [ + 980, + 11346 + ], + [ + 5066, + 5127 + ], + [ + 6525, + 8788 + ], + [ + 3223, + 8673 + ], + [ + 5287, + 10199 + ], + [ + 5050, + 10286 + ], + [ + 2942, + 6179 + ], + [ + 1476, + 5511 + ], + [ + 5519, + 9044 + ], + [ + 8581, + 9672 + ], + [ + 4092, + 8304 + ], + [ + 2841, + 8756 + ], + [ + 6235, + 7679 + ], + [ + 2563, + 6533 + ], + [ + 8437, + 9169 + ], + [ + 2191, + 11091 + ], + [ + 1531, + 5568 + ], + [ + 282, + 3437 + ], + [ + 9118, + 9503 + ], + [ + 1036, + 4808 + ], + [ + 30, + 183 + ], + [ + 2356, + 5681 + ], + [ + 898, + 4874 + ], + [ + 5447, + 11211 + ], + [ + 363, + 1332 + ], + [ + 5184, + 5913 + ], + [ + 2768, + 3905 + ], + [ + 6945, + 9882 + ], + [ + 25, + 5474 + ], + [ + 5821, + 6699 + ], + [ + 9582, + 11300 + ], + [ + 492, + 7569 + ], + [ + 6059, + 8742 + ], + [ + 4968, + 7197 + ], + [ + 6155, + 9204 + ], + [ + 3347, + 9624 + ], + [ + 4539, + 11221 + ], + [ + 10014, + 10176 + ], + [ + 6055, + 11252 + ], + [ + 164, + 4505 + ], + [ + 2142, + 7011 + ], + [ + 296, + 6876 + ], + [ + 3214, + 10034 + ], + [ + 3845, + 6868 + ], + [ + 3998, + 7864 + ], + [ + 3724, + 8793 + ], + [ + 1713, + 3895 + ], + [ + 1561, + 6507 + ], + [ + 5802, + 8527 + ], + [ + 728, + 9916 + ], + [ + 7667, + 8712 + ], + [ + 3803, + 10779 + ], + [ + 3144, + 4727 + ], + [ + 5878, + 6078 + ], + [ + 494, + 825 + ], + [ + 2771, + 9814 + ], + [ + 255, + 10608 + ], + [ + 7440, + 9837 + ], + [ + 998, + 7683 + ], + [ + 153, + 10331 + ], + [ + 1806, + 10071 + ], + [ + 3287, + 7637 + ], + [ + 1880, + 1914 + ], + [ + 1616, + 3531 + ], + [ + 1260, + 8622 + ], + [ + 184, + 8863 + ], + [ + 950, + 7642 + ], + [ + 5874, + 8938 + ], + [ + 3883, + 5416 + ], + [ + 1606, + 6226 + ], + [ + 1888, + 5158 + ], + [ + 7268, + 11423 + ], + [ + 4395, + 7284 + ], + [ + 2342, + 2884 + ], + [ + 5053, + 8193 + ], + [ + 37, + 1646 + ], + [ + 4980, + 7156 + ], + [ + 2414, + 7833 + ], + [ + 3529, + 7520 + ], + [ + 6330, + 10093 + ], + [ + 5580, + 8841 + ], + [ + 7223, + 10899 + ], + [ + 9348, + 10449 + ], + [ + 3959, + 6350 + ], + [ + 4959, + 6279 + ], + [ + 1199, + 10948 + ], + [ + 6785, + 10673 + ], + [ + 1238, + 3736 + ], + [ + 690, + 3342 + ], + [ + 9461, + 10511 + ], + [ + 2205, + 6154 + ], + [ + 956, + 4023 + ], + [ + 2148, + 9784 + ], + [ + 3617, + 9969 + ], + [ + 7399, + 9031 + ], + [ + 1867, + 9542 + ], + [ + 18, + 3474 + ], + [ + 828, + 8941 + ], + [ + 2550, + 7320 + ], + [ + 7711, + 7805 + ], + [ + 1057, + 7458 + ], + [ + 6346, + 7189 + ], + [ + 6401, + 6896 + ], + [ + 4689, + 9959 + ], + [ + 8980, + 10588 + ], + [ + 3130, + 6094 + ], + [ + 7087, + 10607 + ], + [ + 3231, + 6900 + ], + [ + 2161, + 6232 + ], + [ + 3563, + 9359 + ], + [ + 3602, + 9287 + ], + [ + 2377, + 5298 + ], + [ + 8734, + 10532 + ], + [ + 6991, + 7866 + ], + [ + 2189, + 5247 + ], + [ + 5265, + 5581 + ], + [ + 1637, + 10369 + ], + [ + 753, + 6673 + ], + [ + 4343, + 9672 + ], + [ + 159, + 1770 + ], + [ + 6454, + 11044 + ], + [ + 7132, + 9976 + ], + [ + 2130, + 7269 + ], + [ + 6108, + 10407 + ], + [ + 7660, + 10095 + ], + [ + 4981, + 9205 + ], + [ + 9900, + 10157 + ], + [ + 6486, + 9047 + ], + [ + 5076, + 6059 + ], + [ + 657, + 9594 + ], + [ + 4538, + 8635 + ], + [ + 1896, + 3840 + ], + [ + 5468, + 6290 + ], + [ + 2016, + 2444 + ], + [ + 123, + 6627 + ], + [ + 9708, + 10337 + ], + [ + 3827, + 10694 + ], + [ + 2983, + 9026 + ], + [ + 7145, + 10561 + ], + [ + 1615, + 5483 + ], + [ + 1512, + 3850 + ], + [ + 3700, + 7886 + ], + [ + 1052, + 6309 + ], + [ + 10011, + 11277 + ], + [ + 1700, + 7284 + ], + [ + 3035, + 8435 + ], + [ + 2037, + 10087 + ], + [ + 1263, + 4277 + ], + [ + 1316, + 3911 + ], + [ + 8191, + 8576 + ], + [ + 3158, + 10720 + ], + [ + 2074, + 6936 + ], + [ + 71, + 8315 + ], + [ + 16, + 2192 + ], + [ + 2741, + 11371 + ], + [ + 812, + 9481 + ], + [ + 6667, + 7903 + ], + [ + 6200, + 9191 + ], + [ + 2332, + 3969 + ], + [ + 778, + 6864 + ], + [ + 442, + 1253 + ], + [ + 2486, + 7819 + ], + [ + 2152, + 2281 + ], + [ + 1641, + 8932 + ], + [ + 4321, + 6260 + ], + [ + 804, + 8435 + ], + [ + 7156, + 7663 + ], + [ + 6123, + 10260 + ], + [ + 5441, + 9674 + ], + [ + 2851, + 5823 + ], + [ + 3778, + 5459 + ], + [ + 3530, + 5357 + ], + [ + 536, + 3143 + ], + [ + 469, + 1921 + ], + [ + 4150, + 10700 + ], + [ + 2555, + 7932 + ], + [ + 1008, + 6336 + ], + [ + 2188, + 6418 + ], + [ + 3981, + 9201 + ], + [ + 1221, + 6629 + ], + [ + 4364, + 8185 + ], + [ + 3115, + 6054 + ], + [ + 1064, + 8897 + ], + [ + 1279, + 10771 + ], + [ + 2116, + 7481 + ], + [ + 583, + 5591 + ], + [ + 8, + 3374 + ], + [ + 7413, + 7827 + ], + [ + 2143, + 3642 + ], + [ + 155, + 6053 + ], + [ + 5158, + 5952 + ], + [ + 615, + 5479 + ], + [ + 4410, + 11162 + ], + [ + 9415, + 11134 + ], + [ + 5239, + 8011 + ], + [ + 4505, + 11399 + ], + [ + 2669, + 5536 + ], + [ + 2622, + 11382 + ], + [ + 2505, + 4381 + ], + [ + 6199, + 7006 + ], + [ + 3439, + 5188 + ], + [ + 127, + 10801 + ], + [ + 1351, + 8149 + ], + [ + 1844, + 5049 + ], + [ + 7532, + 11467 + ], + [ + 1751, + 2606 + ], + [ + 8010, + 8059 + ], + [ + 6627, + 9146 + ], + [ + 2236, + 8313 + ], + [ + 6480, + 9850 + ], + [ + 1366, + 8430 + ], + [ + 6212, + 7591 + ], + [ + 5121, + 6046 + ], + [ + 2266, + 7374 + ], + [ + 7584, + 7843 + ], + [ + 5624, + 10050 + ], + [ + 2539, + 8472 + ], + [ + 734, + 8338 + ], + [ + 4409, + 6749 + ], + [ + 8767, + 9354 + ], + [ + 3390, + 7524 + ], + [ + 1081, + 5413 + ], + [ + 114, + 6378 + ], + [ + 7746, + 9302 + ], + [ + 3407, + 10911 + ], + [ + 5244, + 7550 + ], + [ + 8196, + 9538 + ], + [ + 5183, + 9526 + ], + [ + 2815, + 3802 + ], + [ + 7703, + 9605 + ], + [ + 538, + 11028 + ], + [ + 471, + 3390 + ], + [ + 1249, + 2903 + ], + [ + 497, + 7994 + ], + [ + 4291, + 8571 + ], + [ + 2985, + 5152 + ], + [ + 7093, + 7582 + ], + [ + 2342, + 8658 + ], + [ + 4639, + 9254 + ], + [ + 1929, + 6045 + ], + [ + 1614, + 11137 + ], + [ + 2273, + 10773 + ], + [ + 3020, + 5338 + ], + [ + 4322, + 7103 + ], + [ + 6311, + 6792 + ], + [ + 616, + 6373 + ], + [ + 2269, + 6867 + ], + [ + 2207, + 5989 + ], + [ + 987, + 8760 + ], + [ + 159, + 8349 + ], + [ + 3362, + 7704 + ], + [ + 2884, + 5450 + ], + [ + 3537, + 6015 + ], + [ + 4225, + 10553 + ], + [ + 4120, + 5841 + ], + [ + 5972, + 9928 + ], + [ + 7046, + 7362 + ], + [ + 5368, + 8501 + ], + [ + 5184, + 6694 + ], + [ + 4750, + 9620 + ], + [ + 8100, + 9025 + ], + [ + 2573, + 9880 + ], + [ + 1035, + 7646 + ], + [ + 362, + 9058 + ], + [ + 6635, + 11211 + ], + [ + 2789, + 8192 + ], + [ + 1194, + 5424 + ], + [ + 4058, + 5313 + ], + [ + 873, + 6537 + ], + [ + 6286, + 8024 + ], + [ + 4243, + 4312 + ], + [ + 3481, + 8715 + ], + [ + 2961, + 6205 + ], + [ + 7541, + 7691 + ], + [ + 5015, + 7043 + ], + [ + 3487, + 5497 + ], + [ + 8337, + 8564 + ], + [ + 7101, + 10802 + ], + [ + 3954, + 7592 + ], + [ + 3882, + 6026 + ], + [ + 745, + 1252 + ], + [ + 3472, + 7848 + ], + [ + 180, + 8421 + ], + [ + 8203, + 8749 + ], + [ + 1730, + 11446 + ], + [ + 400, + 4223 + ], + [ + 3920, + 5729 + ], + [ + 337, + 9536 + ], + [ + 6335, + 10518 + ], + [ + 5256, + 10488 + ], + [ + 886, + 4116 + ], + [ + 2498, + 4609 + ], + [ + 548, + 1088 + ], + [ + 396, + 3700 + ], + [ + 2629, + 6755 + ], + [ + 2159, + 3608 + ], + [ + 1042, + 8012 + ], + [ + 197, + 9906 + ], + [ + 6324, + 6572 + ], + [ + 3521, + 3926 + ], + [ + 7602, + 7943 + ], + [ + 4981, + 10441 + ], + [ + 8718, + 10484 + ], + [ + 1096, + 1832 + ], + [ + 9309, + 10171 + ], + [ + 8964, + 10890 + ], + [ + 6655, + 8779 + ], + [ + 3487, + 4692 + ], + [ + 1017, + 5107 + ], + [ + 365, + 980 + ], + [ + 2758, + 7700 + ], + [ + 2830, + 3604 + ], + [ + 9705, + 10521 + ], + [ + 7306, + 10402 + ], + [ + 4219, + 11407 + ], + [ + 2254, + 9860 + ], + [ + 3974, + 11576 + ], + [ + 2478, + 5781 + ], + [ + 6015, + 11428 + ], + [ + 659, + 3305 + ], + [ + 139, + 5713 + ], + [ + 1159, + 1376 + ], + [ + 2778, + 3040 + ], + [ + 3337, + 6976 + ], + [ + 2736, + 9230 + ], + [ + 6600, + 11300 + ], + [ + 5361, + 9103 + ], + [ + 2864, + 7695 + ], + [ + 1556, + 1951 + ], + [ + 342, + 1504 + ], + [ + 7377, + 11342 + ], + [ + 345, + 5939 + ], + [ + 307, + 9619 + ], + [ + 835, + 4820 + ], + [ + 4221, + 10298 + ], + [ + 6807, + 10997 + ], + [ + 179, + 10373 + ], + [ + 7144, + 7384 + ], + [ + 7343, + 8725 + ], + [ + 1111, + 10353 + ], + [ + 212, + 8978 + ], + [ + 3168, + 8456 + ], + [ + 1072, + 8146 + ], + [ + 1096, + 6288 + ], + [ + 1391, + 9589 + ], + [ + 3406, + 4837 + ], + [ + 1979, + 9759 + ], + [ + 8997, + 11322 + ], + [ + 7789, + 9192 + ], + [ + 1656, + 7793 + ], + [ + 2365, + 6038 + ], + [ + 9433, + 11071 + ], + [ + 3573, + 5135 + ], + [ + 3206, + 10791 + ], + [ + 2244, + 4930 + ], + [ + 8615, + 10624 + ], + [ + 871, + 1043 + ], + [ + 7094, + 10249 + ], + [ + 5791, + 11265 + ], + [ + 836, + 8404 + ], + [ + 3544, + 3616 + ], + [ + 1926, + 9724 + ], + [ + 9637, + 11251 + ], + [ + 2985, + 5315 + ], + [ + 2911, + 9338 + ], + [ + 829, + 4200 + ], + [ + 5376, + 9710 + ], + [ + 2379, + 3061 + ], + [ + 3659, + 5259 + ], + [ + 951, + 8512 + ], + [ + 5023, + 11285 + ], + [ + 8068, + 9300 + ], + [ + 6480, + 7703 + ], + [ + 7543, + 11364 + ], + [ + 1807, + 3774 + ], + [ + 3271, + 7779 + ], + [ + 1913, + 4924 + ], + [ + 7107, + 7801 + ], + [ + 727, + 6525 + ], + [ + 6974, + 7457 + ], + [ + 1600, + 9308 + ], + [ + 848, + 7983 + ], + [ + 9394, + 10338 + ], + [ + 8941, + 9804 + ], + [ + 7310, + 10789 + ], + [ + 935, + 10611 + ], + [ + 4352, + 10484 + ], + [ + 1, + 382 + ], + [ + 868, + 2219 + ], + [ + 333, + 5847 + ], + [ + 1518, + 10437 + ], + [ + 497, + 3969 + ], + [ + 2675, + 6563 + ], + [ + 7269, + 7755 + ], + [ + 7890, + 10317 + ], + [ + 4949, + 5455 + ], + [ + 672, + 2280 + ], + [ + 271, + 1182 + ], + [ + 9884, + 10323 + ], + [ + 2136, + 9668 + ], + [ + 4304, + 7410 + ], + [ + 4555, + 4777 + ], + [ + 2817, + 5865 + ], + [ + 1439, + 8050 + ], + [ + 857, + 8826 + ], + [ + 762, + 5556 + ], + [ + 3964, + 8473 + ], + [ + 1844, + 8513 + ], + [ + 2250, + 3539 + ], + [ + 2351, + 4345 + ], + [ + 875, + 2235 + ], + [ + 2366, + 4653 + ], + [ + 2407, + 4654 + ], + [ + 4391, + 7005 + ], + [ + 5574, + 10768 + ], + [ + 3774, + 4562 + ], + [ + 7667, + 11534 + ], + [ + 8035, + 9486 + ], + [ + 5454, + 9885 + ], + [ + 4043, + 8924 + ], + [ + 1113, + 8415 + ], + [ + 586, + 8898 + ], + [ + 4204, + 7529 + ], + [ + 1298, + 7414 + ], + [ + 3044, + 3935 + ], + [ + 655, + 10166 + ], + [ + 1770, + 9853 + ], + [ + 3908, + 9638 + ], + [ + 5002, + 8448 + ], + [ + 4245, + 6025 + ], + [ + 2846, + 7333 + ], + [ + 6762, + 8839 + ], + [ + 2574, + 2673 + ], + [ + 4645, + 6898 + ], + [ + 2193, + 5233 + ], + [ + 6391, + 9835 + ], + [ + 1823, + 4202 + ], + [ + 458, + 10002 + ], + [ + 1071, + 2123 + ], + [ + 3784, + 4849 + ], + [ + 5766, + 9783 + ], + [ + 7449, + 8988 + ], + [ + 6418, + 8248 + ], + [ + 170, + 675 + ], + [ + 8387, + 10668 + ], + [ + 2582, + 5193 + ], + [ + 1563, + 5968 + ], + [ + 1411, + 8580 + ], + [ + 5263, + 6129 + ], + [ + 3277, + 10121 + ], + [ + 6787, + 10185 + ], + [ + 5269, + 10081 + ], + [ + 1155, + 7836 + ], + [ + 7869, + 10863 + ], + [ + 5814, + 10554 + ], + [ + 10106, + 10627 + ], + [ + 3384, + 3952 + ], + [ + 2319, + 3628 + ], + [ + 1608, + 4556 + ], + [ + 2568, + 6584 + ], + [ + 6028, + 8039 + ], + [ + 4350, + 9932 + ], + [ + 1325, + 5399 + ], + [ + 2820, + 5307 + ], + [ + 2192, + 4203 + ], + [ + 4671, + 10697 + ], + [ + 901, + 1846 + ], + [ + 498, + 11255 + ], + [ + 257, + 8160 + ], + [ + 312, + 8621 + ], + [ + 3308, + 4465 + ], + [ + 7972, + 10560 + ], + [ + 1892, + 3160 + ], + [ + 2652, + 9264 + ], + [ + 5320, + 11493 + ], + [ + 4391, + 8778 + ], + [ + 6569, + 7208 + ], + [ + 867, + 3366 + ], + [ + 2864, + 10086 + ], + [ + 10796, + 11050 + ], + [ + 335, + 9921 + ], + [ + 7442, + 10745 + ], + [ + 8762, + 10864 + ], + [ + 5589, + 7187 + ], + [ + 1581, + 5338 + ], + [ + 7207, + 10878 + ], + [ + 3507, + 7684 + ], + [ + 8639, + 8929 + ], + [ + 979, + 10373 + ], + [ + 1753, + 9767 + ], + [ + 3494, + 5944 + ], + [ + 378, + 9217 + ], + [ + 4003, + 8265 + ], + [ + 223, + 5142 + ], + [ + 4653, + 9313 + ], + [ + 916, + 10024 + ], + [ + 1499, + 5686 + ], + [ + 7667, + 8769 + ], + [ + 2226, + 9398 + ], + [ + 41, + 2627 + ], + [ + 3993, + 10960 + ], + [ + 7566, + 11346 + ], + [ + 1253, + 5630 + ], + [ + 7158, + 9831 + ], + [ + 2097, + 9927 + ], + [ + 4430, + 10180 + ], + [ + 3456, + 9974 + ], + [ + 3822, + 5601 + ], + [ + 5187, + 11098 + ], + [ + 7590, + 9838 + ], + [ + 9923, + 10091 + ], + [ + 632, + 2694 + ], + [ + 3420, + 10667 + ], + [ + 3728, + 8568 + ], + [ + 3563, + 3805 + ], + [ + 4657, + 9031 + ], + [ + 1906, + 6575 + ], + [ + 5149, + 5329 + ], + [ + 3849, + 10026 + ], + [ + 1810, + 9496 + ], + [ + 6732, + 9965 + ], + [ + 3617, + 9676 + ], + [ + 635, + 8977 + ], + [ + 6480, + 6711 + ], + [ + 5425, + 7075 + ], + [ + 3338, + 8009 + ], + [ + 6051, + 10735 + ], + [ + 3369, + 9574 + ], + [ + 5614, + 7728 + ], + [ + 1497, + 1802 + ], + [ + 2925, + 6150 + ], + [ + 628, + 5554 + ], + [ + 1304, + 8577 + ], + [ + 4802, + 7850 + ], + [ + 1436, + 3778 + ], + [ + 1364, + 2212 + ], + [ + 4584, + 9842 + ], + [ + 2063, + 3876 + ], + [ + 3737, + 5247 + ], + [ + 4783, + 6295 + ], + [ + 3910, + 6895 + ], + [ + 122, + 7264 + ], + [ + 1061, + 11421 + ], + [ + 210, + 3701 + ], + [ + 3257, + 4795 + ], + [ + 433, + 5436 + ], + [ + 9072, + 10234 + ], + [ + 1916, + 9491 + ], + [ + 8012, + 11008 + ], + [ + 4259, + 10432 + ], + [ + 7986, + 9787 + ], + [ + 2389, + 5739 + ], + [ + 651, + 6827 + ], + [ + 475, + 4157 + ], + [ + 3439, + 7660 + ], + [ + 7176, + 7703 + ], + [ + 6763, + 11506 + ], + [ + 1754, + 8382 + ], + [ + 753, + 3347 + ], + [ + 6707, + 8164 + ], + [ + 4202, + 6141 + ], + [ + 4637, + 6069 + ], + [ + 3554, + 4385 + ], + [ + 71, + 6144 + ], + [ + 2461, + 6931 + ], + [ + 3359, + 8081 + ], + [ + 4367, + 7871 + ], + [ + 4419, + 11444 + ], + [ + 4701, + 10376 + ], + [ + 2671, + 7680 + ], + [ + 80, + 221 + ], + [ + 1220, + 1628 + ], + [ + 3107, + 4046 + ], + [ + 2167, + 2670 + ], + [ + 3041, + 3426 + ], + [ + 1182, + 2275 + ], + [ + 7928, + 11256 + ], + [ + 108, + 4871 + ], + [ + 11100, + 11298 + ], + [ + 2167, + 6053 + ], + [ + 3729, + 6429 + ], + [ + 6559, + 7488 + ], + [ + 6214, + 10459 + ], + [ + 7730, + 10490 + ], + [ + 9531, + 10882 + ], + [ + 1346, + 3056 + ], + [ + 1569, + 4791 + ], + [ + 10218, + 11031 + ], + [ + 5175, + 6071 + ], + [ + 659, + 5509 + ], + [ + 5480, + 10090 + ], + [ + 6316, + 10362 + ], + [ + 6105, + 9361 + ], + [ + 6652, + 8776 + ], + [ + 8995, + 10471 + ], + [ + 556, + 1597 + ], + [ + 4420, + 7077 + ], + [ + 6555, + 9597 + ], + [ + 837, + 4468 + ], + [ + 8018, + 9213 + ], + [ + 3792, + 6727 + ], + [ + 5210, + 10387 + ], + [ + 4244, + 7790 + ], + [ + 8099, + 11272 + ], + [ + 456, + 8159 + ], + [ + 5767, + 8211 + ], + [ + 1073, + 9821 + ], + [ + 4347, + 7888 + ], + [ + 699, + 11300 + ], + [ + 3022, + 6701 + ], + [ + 7722, + 8289 + ], + [ + 728, + 3370 + ], + [ + 7166, + 10286 + ], + [ + 1027, + 6443 + ], + [ + 75, + 8440 + ], + [ + 28, + 7870 + ], + [ + 3137, + 7590 + ], + [ + 6223, + 6360 + ], + [ + 10956, + 11094 + ], + [ + 6909, + 10071 + ], + [ + 6842, + 8849 + ], + [ + 369, + 11546 + ], + [ + 7342, + 9172 + ], + [ + 3538, + 5655 + ], + [ + 3486, + 5465 + ], + [ + 1294, + 3939 + ], + [ + 6094, + 7643 + ], + [ + 7310, + 7382 + ], + [ + 7494, + 9943 + ], + [ + 5216, + 9397 + ], + [ + 4292, + 7026 + ], + [ + 512, + 3903 + ], + [ + 1105, + 4417 + ], + [ + 7271, + 7427 + ], + [ + 1975, + 4273 + ], + [ + 2498, + 4048 + ], + [ + 231, + 11208 + ], + [ + 1690, + 10705 + ], + [ + 5023, + 6723 + ], + [ + 4362, + 11178 + ], + [ + 2875, + 3217 + ], + [ + 3126, + 7000 + ], + [ + 5581, + 8182 + ], + [ + 7045, + 8023 + ], + [ + 1006, + 1378 + ], + [ + 8753, + 8978 + ], + [ + 2781, + 2801 + ], + [ + 8510, + 9220 + ], + [ + 8014, + 11268 + ], + [ + 7541, + 9358 + ], + [ + 7078, + 7382 + ], + [ + 3303, + 11019 + ], + [ + 962, + 4489 + ], + [ + 4014, + 4429 + ], + [ + 3678, + 4480 + ], + [ + 5794, + 6196 + ], + [ + 1028, + 6240 + ], + [ + 532, + 9042 + ], + [ + 5609, + 6416 + ], + [ + 349, + 9335 + ], + [ + 3828, + 4424 + ], + [ + 2857, + 10151 + ], + [ + 1773, + 4115 + ], + [ + 4730, + 6447 + ], + [ + 7144, + 7628 + ], + [ + 2140, + 8258 + ], + [ + 2854, + 7601 + ], + [ + 617, + 7056 + ], + [ + 856, + 9324 + ], + [ + 6160, + 10841 + ], + [ + 2383, + 4983 + ], + [ + 1354, + 5070 + ], + [ + 798, + 2903 + ], + [ + 2570, + 4809 + ], + [ + 1935, + 10485 + ], + [ + 4622, + 11236 + ], + [ + 8846, + 11397 + ], + [ + 7763, + 10467 + ], + [ + 910, + 6527 + ], + [ + 3429, + 6004 + ], + [ + 10249, + 10962 + ], + [ + 3611, + 5486 + ], + [ + 7077, + 10139 + ], + [ + 3087, + 9650 + ], + [ + 993, + 5249 + ], + [ + 5196, + 10949 + ], + [ + 1901, + 5589 + ], + [ + 2294, + 10953 + ], + [ + 7927, + 11248 + ], + [ + 5907, + 9240 + ], + [ + 1435, + 3315 + ], + [ + 2297, + 4808 + ], + [ + 8729, + 8903 + ], + [ + 5931, + 10765 + ], + [ + 5803, + 11519 + ], + [ + 245, + 10809 + ], + [ + 7673, + 10550 + ], + [ + 3776, + 6088 + ], + [ + 3008, + 10646 + ], + [ + 3629, + 9044 + ], + [ + 4052, + 5205 + ], + [ + 2661, + 9784 + ], + [ + 3368, + 7956 + ], + [ + 4242, + 4548 + ], + [ + 2846, + 9537 + ], + [ + 4608, + 5837 + ], + [ + 1478, + 5240 + ], + [ + 7104, + 10026 + ], + [ + 449, + 5327 + ], + [ + 3706, + 7951 + ], + [ + 5139, + 6227 + ], + [ + 1995, + 6698 + ], + [ + 3521, + 8171 + ], + [ + 1964, + 5133 + ], + [ + 562, + 2006 + ], + [ + 1496, + 9983 + ], + [ + 5071, + 11196 + ], + [ + 1282, + 4547 + ], + [ + 2092, + 10014 + ], + [ + 5793, + 8148 + ], + [ + 834, + 10049 + ], + [ + 5419, + 5463 + ], + [ + 3609, + 4985 + ], + [ + 491, + 6677 + ], + [ + 54, + 6676 + ], + [ + 4348, + 5324 + ], + [ + 4659, + 9158 + ], + [ + 1383, + 8012 + ], + [ + 4557, + 8881 + ], + [ + 1890, + 3090 + ], + [ + 2855, + 5462 + ], + [ + 8682, + 9006 + ], + [ + 6430, + 7429 + ], + [ + 3035, + 4117 + ], + [ + 4602, + 5591 + ], + [ + 3227, + 10703 + ], + [ + 5868, + 8857 + ], + [ + 419, + 5461 + ], + [ + 5211, + 10021 + ], + [ + 1381, + 7535 + ], + [ + 7757, + 11321 + ], + [ + 7567, + 11197 + ], + [ + 661, + 1961 + ], + [ + 4210, + 10621 + ], + [ + 5167, + 6716 + ], + [ + 660, + 11158 + ], + [ + 5323, + 7229 + ], + [ + 5203, + 6346 + ], + [ + 4487, + 10340 + ], + [ + 864, + 1539 + ], + [ + 55, + 9506 + ], + [ + 4117, + 11561 + ], + [ + 4320, + 5504 + ], + [ + 6195, + 11295 + ], + [ + 9612, + 11168 + ], + [ + 1856, + 6488 + ], + [ + 3201, + 8327 + ], + [ + 1609, + 9240 + ], + [ + 2349, + 3388 + ], + [ + 4289, + 9574 + ], + [ + 2272, + 11247 + ], + [ + 4557, + 8076 + ], + [ + 7767, + 10854 + ], + [ + 952, + 3988 + ], + [ + 2701, + 10606 + ], + [ + 2659, + 11134 + ], + [ + 1284, + 9830 + ], + [ + 3159, + 9205 + ], + [ + 5327, + 6947 + ], + [ + 6452, + 7322 + ], + [ + 500, + 8967 + ], + [ + 4985, + 7183 + ], + [ + 10150, + 10820 + ], + [ + 4895, + 8421 + ], + [ + 6750, + 7918 + ], + [ + 9843, + 10111 + ], + [ + 523, + 1222 + ], + [ + 5882, + 8108 + ], + [ + 1300, + 10713 + ], + [ + 1248, + 10523 + ], + [ + 3258, + 4673 + ], + [ + 1551, + 1664 + ], + [ + 28, + 6878 + ], + [ + 4518, + 11100 + ], + [ + 9329, + 10829 + ], + [ + 7644, + 8545 + ], + [ + 4013, + 9652 + ], + [ + 1859, + 9364 + ], + [ + 620, + 1505 + ], + [ + 3885, + 8154 + ], + [ + 8212, + 11446 + ], + [ + 8545, + 11097 + ], + [ + 5532, + 11085 + ], + [ + 8173, + 11491 + ], + [ + 7984, + 8586 + ], + [ + 8202, + 9977 + ], + [ + 4747, + 6614 + ], + [ + 4318, + 10638 + ], + [ + 3496, + 7820 + ], + [ + 3406, + 11310 + ], + [ + 2471, + 10278 + ], + [ + 4059, + 6213 + ], + [ + 8042, + 8941 + ], + [ + 3801, + 5423 + ], + [ + 2350, + 5787 + ], + [ + 2997, + 3154 + ], + [ + 507, + 9333 + ], + [ + 6257, + 10213 + ], + [ + 2282, + 4340 + ], + [ + 8998, + 11200 + ], + [ + 5830, + 7113 + ], + [ + 837, + 7932 + ], + [ + 3915, + 9093 + ], + [ + 2170, + 9010 + ], + [ + 4047, + 5048 + ], + [ + 1862, + 4693 + ], + [ + 3978, + 6409 + ], + [ + 4258, + 9432 + ], + [ + 2117, + 9349 + ], + [ + 801, + 5242 + ], + [ + 3944, + 4546 + ], + [ + 2478, + 3878 + ], + [ + 392, + 3502 + ], + [ + 612, + 5720 + ], + [ + 3716, + 8102 + ], + [ + 7105, + 10845 + ], + [ + 7087, + 9485 + ], + [ + 69, + 7952 + ], + [ + 361, + 5320 + ], + [ + 1844, + 2959 + ], + [ + 256, + 1362 + ], + [ + 3893, + 10623 + ], + [ + 753, + 2168 + ], + [ + 3373, + 8113 + ], + [ + 1902, + 7101 + ], + [ + 1901, + 7630 + ], + [ + 4767, + 10598 + ], + [ + 5107, + 6502 + ], + [ + 1652, + 3139 + ], + [ + 1337, + 8231 + ], + [ + 4083, + 6933 + ], + [ + 5423, + 9182 + ], + [ + 3952, + 8170 + ], + [ + 342, + 9400 + ], + [ + 991, + 1178 + ], + [ + 5724, + 5912 + ], + [ + 8313, + 10292 + ], + [ + 2114, + 4890 + ], + [ + 2547, + 10407 + ], + [ + 2583, + 4402 + ], + [ + 4159, + 4484 + ], + [ + 363, + 7244 + ], + [ + 2424, + 9253 + ], + [ + 1744, + 9494 + ], + [ + 4817, + 10311 + ], + [ + 10085, + 11417 + ], + [ + 5259, + 10656 + ], + [ + 1921, + 4468 + ], + [ + 6587, + 11390 + ], + [ + 4089, + 6374 + ], + [ + 4448, + 7970 + ], + [ + 10967, + 11310 + ], + [ + 9014, + 11278 + ], + [ + 824, + 9524 + ], + [ + 2412, + 4705 + ], + [ + 2940, + 7076 + ], + [ + 1044, + 7578 + ], + [ + 7582, + 9440 + ], + [ + 2439, + 9534 + ], + [ + 7678, + 9902 + ], + [ + 1537, + 4478 + ], + [ + 3064, + 6553 + ], + [ + 4681, + 6636 + ], + [ + 445, + 3462 + ], + [ + 2598, + 4279 + ], + [ + 6918, + 10564 + ], + [ + 3993, + 10399 + ], + [ + 8347, + 11350 + ], + [ + 7652, + 10559 + ], + [ + 2302, + 10552 + ], + [ + 4260, + 7518 + ], + [ + 2794, + 6850 + ], + [ + 2828, + 3428 + ], + [ + 7962, + 8506 + ], + [ + 1761, + 2277 + ], + [ + 2366, + 11476 + ], + [ + 3734, + 4439 + ], + [ + 5098, + 11246 + ], + [ + 5349, + 8613 + ], + [ + 5380, + 7926 + ], + [ + 681, + 5028 + ], + [ + 8461, + 8604 + ], + [ + 4264, + 11020 + ], + [ + 1728, + 10438 + ], + [ + 16, + 6331 + ], + [ + 4770, + 8936 + ], + [ + 1320, + 1753 + ], + [ + 977, + 11213 + ], + [ + 2109, + 6343 + ], + [ + 1106, + 7651 + ], + [ + 4905, + 8572 + ], + [ + 7785, + 8994 + ], + [ + 233, + 7497 + ], + [ + 479, + 10936 + ], + [ + 8981, + 11464 + ], + [ + 45, + 11583 + ], + [ + 6069, + 10780 + ], + [ + 2210, + 3392 + ], + [ + 1313, + 11512 + ], + [ + 2143, + 2170 + ], + [ + 3061, + 4696 + ], + [ + 3056, + 4352 + ], + [ + 778, + 1554 + ], + [ + 3737, + 7719 + ], + [ + 3241, + 3351 + ], + [ + 407, + 9720 + ], + [ + 5324, + 9845 + ], + [ + 9123, + 10766 + ], + [ + 680, + 10818 + ], + [ + 1062, + 4696 + ], + [ + 4687, + 6026 + ], + [ + 9461, + 10007 + ], + [ + 6025, + 7448 + ], + [ + 3891, + 8536 + ], + [ + 4880, + 9050 + ], + [ + 7058, + 8234 + ], + [ + 4656, + 10096 + ], + [ + 919, + 3637 + ], + [ + 5523, + 9681 + ], + [ + 4540, + 5949 + ], + [ + 8012, + 10447 + ], + [ + 978, + 8381 + ], + [ + 1599, + 6779 + ], + [ + 2232, + 4440 + ], + [ + 506, + 2909 + ], + [ + 2682, + 11092 + ], + [ + 830, + 11112 + ], + [ + 39, + 3443 + ], + [ + 3717, + 8541 + ], + [ + 3457, + 7678 + ], + [ + 3811, + 5924 + ], + [ + 4401, + 9173 + ], + [ + 2811, + 6749 + ], + [ + 1777, + 5738 + ], + [ + 5519, + 6125 + ], + [ + 9182, + 10191 + ], + [ + 4428, + 4580 + ], + [ + 7633, + 7768 + ], + [ + 501, + 10829 + ], + [ + 6882, + 9297 + ], + [ + 2455, + 8053 + ], + [ + 5204, + 10436 + ], + [ + 369, + 6179 + ], + [ + 675, + 9669 + ], + [ + 3269, + 7977 + ], + [ + 8675, + 9047 + ], + [ + 7270, + 11284 + ], + [ + 5379, + 5714 + ], + [ + 6344, + 8086 + ], + [ + 7734, + 9698 + ], + [ + 2753, + 5616 + ], + [ + 9105, + 11260 + ], + [ + 4406, + 8362 + ], + [ + 4683, + 11114 + ], + [ + 6648, + 9251 + ], + [ + 235, + 9747 + ], + [ + 2697, + 8690 + ], + [ + 493, + 4121 + ], + [ + 1630, + 5287 + ], + [ + 2404, + 11097 + ], + [ + 3216, + 6811 + ], + [ + 1825, + 11390 + ], + [ + 1412, + 9531 + ], + [ + 2816, + 7069 + ], + [ + 702, + 11061 + ], + [ + 2490, + 7084 + ], + [ + 4427, + 9589 + ], + [ + 6982, + 8723 + ], + [ + 354, + 929 + ], + [ + 4829, + 11289 + ], + [ + 2145, + 10055 + ], + [ + 851, + 1735 + ], + [ + 4679, + 7558 + ], + [ + 192, + 9269 + ], + [ + 3012, + 3224 + ], + [ + 804, + 7581 + ], + [ + 6683, + 11315 + ], + [ + 6383, + 11023 + ], + [ + 1959, + 3634 + ], + [ + 2989, + 11319 + ], + [ + 4037, + 9030 + ], + [ + 2017, + 7776 + ], + [ + 7841, + 10295 + ], + [ + 52, + 9639 + ], + [ + 3383, + 4076 + ], + [ + 2395, + 10580 + ], + [ + 6287, + 7528 + ], + [ + 1992, + 2993 + ], + [ + 2606, + 10800 + ], + [ + 9294, + 9977 + ], + [ + 309, + 3788 + ], + [ + 2943, + 7941 + ], + [ + 4627, + 9246 + ], + [ + 1879, + 4055 + ], + [ + 516, + 11436 + ], + [ + 1889, + 8907 + ], + [ + 798, + 10368 + ], + [ + 2594, + 4000 + ], + [ + 7485, + 9320 + ], + [ + 1066, + 2454 + ], + [ + 1754, + 2828 + ], + [ + 8386, + 10741 + ], + [ + 3336, + 10272 + ], + [ + 74, + 888 + ], + [ + 5278, + 10869 + ], + [ + 2252, + 4236 + ], + [ + 6918, + 6994 + ], + [ + 3060, + 8876 + ], + [ + 6699, + 7630 + ], + [ + 3987, + 8512 + ], + [ + 6141, + 7302 + ], + [ + 9398, + 9926 + ], + [ + 3859, + 9266 + ], + [ + 2267, + 3763 + ], + [ + 930, + 5949 + ], + [ + 5389, + 8606 + ], + [ + 2927, + 6253 + ], + [ + 5198, + 5628 + ], + [ + 4971, + 6403 + ], + [ + 127, + 11452 + ], + [ + 8998, + 9403 + ], + [ + 7711, + 10952 + ], + [ + 9273, + 11328 + ], + [ + 278, + 4451 + ], + [ + 648, + 3984 + ], + [ + 8684, + 10933 + ], + [ + 1146, + 1228 + ], + [ + 337, + 5031 + ], + [ + 6064, + 10623 + ], + [ + 1078, + 2033 + ], + [ + 5097, + 5172 + ], + [ + 270, + 7192 + ], + [ + 3095, + 10159 + ], + [ + 6574, + 9412 + ], + [ + 2570, + 5053 + ], + [ + 199, + 8480 + ], + [ + 3709, + 9298 + ], + [ + 5059, + 5819 + ], + [ + 4916, + 5541 + ], + [ + 874, + 4862 + ], + [ + 9817, + 11549 + ], + [ + 1032, + 2038 + ], + [ + 254, + 5154 + ], + [ + 686, + 5565 + ], + [ + 4741, + 10613 + ], + [ + 3306, + 5094 + ], + [ + 1095, + 3518 + ], + [ + 7314, + 9572 + ], + [ + 6063, + 6614 + ], + [ + 7382, + 7986 + ], + [ + 5078, + 6219 + ], + [ + 5191, + 10068 + ], + [ + 2713, + 10592 + ], + [ + 3668, + 6614 + ], + [ + 5309, + 11255 + ], + [ + 5025, + 5834 + ], + [ + 577, + 10883 + ], + [ + 429, + 3815 + ], + [ + 370, + 6618 + ], + [ + 1896, + 7337 + ], + [ + 3689, + 10120 + ], + [ + 1641, + 6818 + ], + [ + 2849, + 6696 + ], + [ + 3657, + 4920 + ], + [ + 3693, + 4577 + ], + [ + 673, + 7558 + ], + [ + 11281, + 11366 + ], + [ + 441, + 7208 + ], + [ + 4620, + 8350 + ], + [ + 1812, + 4606 + ], + [ + 6354, + 9772 + ], + [ + 851, + 2353 + ], + [ + 7168, + 8942 + ], + [ + 8415, + 11000 + ], + [ + 1768, + 11100 + ], + [ + 8182, + 11206 + ], + [ + 7094, + 9932 + ], + [ + 7772, + 8864 + ], + [ + 427, + 2964 + ], + [ + 397, + 843 + ], + [ + 5130, + 8987 + ], + [ + 9543, + 11299 + ], + [ + 9054, + 11108 + ], + [ + 6222, + 6970 + ], + [ + 49, + 3543 + ], + [ + 4350, + 5614 + ], + [ + 1939, + 9642 + ], + [ + 5553, + 10029 + ], + [ + 1751, + 3175 + ], + [ + 5995, + 11128 + ], + [ + 4366, + 8776 + ], + [ + 2282, + 9227 + ], + [ + 6391, + 11128 + ], + [ + 8073, + 10108 + ], + [ + 1139, + 8246 + ], + [ + 7569, + 8885 + ], + [ + 297, + 9657 + ], + [ + 4929, + 11333 + ], + [ + 1787, + 2051 + ], + [ + 6797, + 9537 + ], + [ + 1186, + 7311 + ], + [ + 3063, + 6759 + ], + [ + 10026, + 10113 + ], + [ + 6302, + 8777 + ], + [ + 7596, + 9927 + ], + [ + 5977, + 6011 + ], + [ + 4242, + 7370 + ], + [ + 689, + 3472 + ], + [ + 904, + 5346 + ], + [ + 4207, + 8315 + ], + [ + 8749, + 9317 + ], + [ + 2651, + 11137 + ], + [ + 2677, + 5942 + ], + [ + 1588, + 5224 + ], + [ + 4162, + 4408 + ], + [ + 400, + 6752 + ], + [ + 858, + 1214 + ], + [ + 1952, + 6440 + ], + [ + 3385, + 4716 + ], + [ + 900, + 11239 + ], + [ + 243, + 352 + ], + [ + 153, + 10258 + ], + [ + 1916, + 10166 + ], + [ + 1551, + 9479 + ], + [ + 4531, + 9351 + ], + [ + 5971, + 8798 + ], + [ + 2442, + 9458 + ], + [ + 1322, + 3011 + ], + [ + 3415, + 3777 + ], + [ + 7479, + 8187 + ], + [ + 8571, + 10334 + ], + [ + 1635, + 11055 + ], + [ + 2251, + 2693 + ], + [ + 7082, + 7962 + ], + [ + 576, + 1851 + ], + [ + 3680, + 8397 + ], + [ + 1529, + 3462 + ], + [ + 5804, + 9974 + ], + [ + 6441, + 6653 + ], + [ + 966, + 8452 + ], + [ + 6191, + 6478 + ], + [ + 7309, + 9846 + ], + [ + 3332, + 10316 + ], + [ + 2924, + 5795 + ], + [ + 8213, + 8532 + ], + [ + 4696, + 10707 + ], + [ + 2294, + 5399 + ], + [ + 4078, + 5410 + ], + [ + 2806, + 7991 + ], + [ + 535, + 2200 + ], + [ + 2486, + 6323 + ], + [ + 2132, + 10706 + ], + [ + 824, + 4962 + ], + [ + 4621, + 11472 + ], + [ + 1135, + 8796 + ], + [ + 3191, + 6297 + ], + [ + 3439, + 4147 + ], + [ + 7523, + 7681 + ], + [ + 4283, + 8444 + ], + [ + 5455, + 8665 + ], + [ + 9821, + 11131 + ], + [ + 8073, + 11531 + ], + [ + 5580, + 7613 + ], + [ + 8235, + 9580 + ], + [ + 1630, + 3490 + ], + [ + 444, + 11507 + ], + [ + 4456, + 9311 + ], + [ + 4769, + 7556 + ], + [ + 6854, + 8461 + ], + [ + 2067, + 9880 + ], + [ + 5443, + 7500 + ], + [ + 1067, + 7699 + ], + [ + 8278, + 8903 + ], + [ + 9772, + 10838 + ], + [ + 7530, + 9949 + ], + [ + 9610, + 9756 + ], + [ + 3013, + 10697 + ], + [ + 3474, + 5430 + ], + [ + 3171, + 5621 + ], + [ + 1646, + 3592 + ], + [ + 5937, + 11391 + ], + [ + 2981, + 5497 + ], + [ + 49, + 4161 + ], + [ + 2952, + 9640 + ], + [ + 275, + 3161 + ], + [ + 6546, + 9405 + ], + [ + 921, + 7473 + ], + [ + 4682, + 5658 + ], + [ + 8978, + 9637 + ], + [ + 3622, + 5678 + ], + [ + 4685, + 5175 + ], + [ + 6429, + 11449 + ], + [ + 1391, + 9085 + ], + [ + 1869, + 4953 + ], + [ + 3997, + 4774 + ], + [ + 592, + 774 + ], + [ + 8504, + 10131 + ], + [ + 5634, + 6263 + ], + [ + 1465, + 3557 + ], + [ + 1341, + 1801 + ], + [ + 1841, + 6288 + ], + [ + 7842, + 10951 + ], + [ + 151, + 10830 + ], + [ + 3821, + 4733 + ], + [ + 767, + 2468 + ], + [ + 3232, + 11508 + ], + [ + 5503, + 10129 + ], + [ + 2203, + 4425 + ], + [ + 3672, + 8774 + ], + [ + 559, + 5148 + ], + [ + 1880, + 8875 + ], + [ + 6473, + 10566 + ], + [ + 2511, + 5709 + ], + [ + 114, + 7915 + ], + [ + 150, + 3408 + ], + [ + 8739, + 9597 + ], + [ + 1896, + 6345 + ], + [ + 5990, + 7214 + ], + [ + 3840, + 9297 + ], + [ + 920, + 9476 + ], + [ + 3969, + 5735 + ], + [ + 2190, + 6822 + ], + [ + 2169, + 5945 + ], + [ + 2780, + 3655 + ], + [ + 3750, + 6371 + ], + [ + 3563, + 4293 + ], + [ + 5613, + 10647 + ], + [ + 1172, + 10451 + ], + [ + 6918, + 7425 + ], + [ + 3900, + 7069 + ], + [ + 4177, + 9821 + ], + [ + 8110, + 9022 + ], + [ + 7351, + 10690 + ], + [ + 7356, + 11034 + ], + [ + 4121, + 5725 + ], + [ + 244, + 2669 + ], + [ + 433, + 5574 + ], + [ + 598, + 7331 + ], + [ + 7218, + 7313 + ], + [ + 7407, + 10218 + ], + [ + 315, + 4764 + ], + [ + 6781, + 7312 + ], + [ + 4949, + 7984 + ], + [ + 4267, + 11562 + ], + [ + 1867, + 3671 + ], + [ + 765, + 8383 + ], + [ + 5894, + 5947 + ], + [ + 1663, + 3117 + ], + [ + 6839, + 11050 + ], + [ + 860, + 10872 + ], + [ + 2003, + 6191 + ], + [ + 822, + 8136 + ], + [ + 5061, + 9329 + ], + [ + 4062, + 4340 + ], + [ + 1911, + 3569 + ], + [ + 5044, + 10853 + ], + [ + 4672, + 8241 + ], + [ + 1839, + 11048 + ], + [ + 4389, + 5674 + ], + [ + 375, + 627 + ], + [ + 5674, + 8216 + ], + [ + 4604, + 7548 + ], + [ + 1252, + 8070 + ], + [ + 7532, + 11394 + ], + [ + 4548, + 9868 + ], + [ + 2143, + 5797 + ], + [ + 7495, + 11512 + ], + [ + 7099, + 11512 + ], + [ + 865, + 3645 + ], + [ + 183, + 7223 + ], + [ + 150, + 4831 + ], + [ + 1306, + 4519 + ], + [ + 2328, + 8179 + ], + [ + 2204, + 5669 + ], + [ + 1335, + 10175 + ], + [ + 492, + 8732 + ], + [ + 8244, + 10260 + ], + [ + 1945, + 7660 + ], + [ + 6272, + 10952 + ], + [ + 9161, + 9208 + ], + [ + 4004, + 8842 + ], + [ + 3063, + 4612 + ], + [ + 298, + 2450 + ], + [ + 9821, + 10944 + ], + [ + 3221, + 5952 + ], + [ + 3871, + 9252 + ], + [ + 5027, + 8940 + ], + [ + 3165, + 8272 + ], + [ + 1565, + 11576 + ], + [ + 7886, + 8485 + ], + [ + 7534, + 10285 + ], + [ + 7231, + 10476 + ], + [ + 4862, + 8314 + ], + [ + 3401, + 7990 + ], + [ + 3109, + 4206 + ], + [ + 10708, + 11154 + ], + [ + 9218, + 10092 + ], + [ + 5455, + 8828 + ], + [ + 6169, + 8171 + ], + [ + 1313, + 10951 + ], + [ + 6669, + 8494 + ], + [ + 3981, + 7518 + ], + [ + 438, + 4308 + ], + [ + 190, + 10622 + ], + [ + 2146, + 4509 + ], + [ + 647, + 7865 + ], + [ + 6965, + 8263 + ], + [ + 5220, + 8180 + ], + [ + 901, + 8913 + ], + [ + 2026, + 9288 + ], + [ + 4791, + 9952 + ], + [ + 278, + 3272 + ], + [ + 4878, + 7662 + ], + [ + 946, + 11315 + ], + [ + 829, + 4314 + ], + [ + 1800, + 10638 + ], + [ + 4684, + 8550 + ], + [ + 1845, + 9657 + ], + [ + 821, + 3672 + ], + [ + 5158, + 7652 + ], + [ + 3153, + 5952 + ], + [ + 8036, + 11411 + ], + [ + 8911, + 10857 + ], + [ + 5045, + 8714 + ], + [ + 9372, + 9754 + ], + [ + 4893, + 9074 + ], + [ + 786, + 1584 + ], + [ + 6608, + 10446 + ], + [ + 8194, + 11216 + ], + [ + 1897, + 10197 + ], + [ + 8691, + 9770 + ], + [ + 1869, + 8149 + ], + [ + 1282, + 4417 + ], + [ + 2299, + 7733 + ], + [ + 2519, + 2781 + ], + [ + 2204, + 3709 + ], + [ + 5970, + 9408 + ], + [ + 8063, + 9420 + ], + [ + 370, + 8472 + ], + [ + 4066, + 8514 + ], + [ + 9451, + 10205 + ], + [ + 3541, + 5660 + ], + [ + 4731, + 10594 + ], + [ + 1481, + 10669 + ], + [ + 3733, + 5830 + ], + [ + 5782, + 6324 + ], + [ + 4655, + 5122 + ], + [ + 3473, + 4213 + ], + [ + 2788, + 4110 + ], + [ + 1666, + 3252 + ], + [ + 738, + 10561 + ], + [ + 3814, + 7889 + ], + [ + 856, + 1168 + ], + [ + 1439, + 8164 + ], + [ + 4768, + 5938 + ], + [ + 5456, + 9722 + ], + [ + 9292, + 9744 + ], + [ + 763, + 8524 + ], + [ + 7609, + 11293 + ], + [ + 407, + 783 + ], + [ + 4947, + 11538 + ], + [ + 4233, + 5779 + ], + [ + 6540, + 7063 + ], + [ + 2218, + 4115 + ], + [ + 6607, + 8285 + ], + [ + 1397, + 4905 + ], + [ + 9022, + 10822 + ], + [ + 2647, + 4228 + ], + [ + 2729, + 5758 + ], + [ + 6034, + 6144 + ], + [ + 3696, + 8176 + ], + [ + 7094, + 8753 + ], + [ + 3383, + 3515 + ], + [ + 4434, + 5661 + ], + [ + 5366, + 6395 + ], + [ + 5350, + 5862 + ], + [ + 8509, + 11361 + ], + [ + 3686, + 10871 + ], + [ + 914, + 7538 + ], + [ + 1022, + 8761 + ], + [ + 3816, + 10163 + ], + [ + 1913, + 3078 + ], + [ + 4965, + 8680 + ], + [ + 2100, + 2904 + ], + [ + 1416, + 5655 + ], + [ + 9872, + 11500 + ], + [ + 323, + 1031 + ], + [ + 1493, + 6841 + ], + [ + 5949, + 6571 + ], + [ + 1002, + 9987 + ], + [ + 2430, + 7919 + ], + [ + 2208, + 2622 + ], + [ + 1709, + 5907 + ], + [ + 7689, + 8939 + ], + [ + 996, + 3002 + ], + [ + 4695, + 6725 + ], + [ + 8683, + 10551 + ], + [ + 7592, + 11258 + ], + [ + 8803, + 11407 + ], + [ + 2932, + 6036 + ], + [ + 2199, + 8171 + ], + [ + 3443, + 4296 + ], + [ + 4325, + 11329 + ], + [ + 4385, + 11380 + ], + [ + 242, + 4233 + ], + [ + 185, + 7863 + ], + [ + 1613, + 5795 + ], + [ + 7213, + 9360 + ], + [ + 246, + 11522 + ], + [ + 5588, + 10133 + ], + [ + 5430, + 7295 + ], + [ + 954, + 10296 + ], + [ + 204, + 4880 + ], + [ + 6525, + 8959 + ], + [ + 3600, + 4630 + ], + [ + 4461, + 10062 + ], + [ + 3941, + 8306 + ], + [ + 2635, + 4887 + ], + [ + 4927, + 5139 + ], + [ + 4746, + 7013 + ], + [ + 1537, + 2925 + ], + [ + 819, + 6846 + ], + [ + 6481, + 11289 + ], + [ + 903, + 9203 + ], + [ + 784, + 7791 + ], + [ + 4227, + 7387 + ], + [ + 10023, + 10864 + ], + [ + 2027, + 10107 + ], + [ + 463, + 1734 + ], + [ + 688, + 4296 + ], + [ + 1546, + 6801 + ], + [ + 1272, + 7730 + ], + [ + 272, + 8555 + ], + [ + 6655, + 7096 + ], + [ + 2231, + 10287 + ], + [ + 4046, + 4693 + ], + [ + 5648, + 10914 + ], + [ + 988, + 11354 + ], + [ + 3476, + 9266 + ], + [ + 8510, + 9976 + ], + [ + 614, + 8669 + ], + [ + 2471, + 2577 + ], + [ + 7489, + 7672 + ], + [ + 7733, + 10284 + ], + [ + 2592, + 4035 + ], + [ + 10852, + 11446 + ], + [ + 1592, + 9024 + ], + [ + 1166, + 3897 + ], + [ + 903, + 5015 + ], + [ + 606, + 11410 + ], + [ + 8599, + 8863 + ], + [ + 838, + 3839 + ], + [ + 1343, + 2254 + ], + [ + 1584, + 5349 + ], + [ + 3366, + 3779 + ], + [ + 436, + 3270 + ], + [ + 1464, + 10128 + ], + [ + 4291, + 7506 + ], + [ + 3506, + 9451 + ], + [ + 6842, + 9150 + ], + [ + 18, + 4450 + ], + [ + 2729, + 9759 + ], + [ + 6681, + 7512 + ], + [ + 2579, + 6782 + ], + [ + 6676, + 7168 + ], + [ + 4222, + 8840 + ], + [ + 1293, + 11185 + ], + [ + 5501, + 10059 + ], + [ + 5344, + 5911 + ], + [ + 6089, + 6819 + ], + [ + 2042, + 5796 + ], + [ + 3496, + 9113 + ], + [ + 6801, + 8745 + ], + [ + 5777, + 9176 + ], + [ + 10777, + 11056 + ], + [ + 421, + 1807 + ], + [ + 2532, + 3179 + ], + [ + 453, + 10390 + ], + [ + 2993, + 4328 + ], + [ + 4565, + 5392 + ], + [ + 2597, + 3574 + ], + [ + 6884, + 7467 + ], + [ + 4588, + 10479 + ], + [ + 189, + 5621 + ], + [ + 2900, + 4514 + ], + [ + 6050, + 7241 + ], + [ + 8307, + 8438 + ], + [ + 4356, + 10129 + ], + [ + 1558, + 5575 + ], + [ + 3120, + 5951 + ], + [ + 1313, + 9154 + ], + [ + 23, + 606 + ], + [ + 1614, + 5884 + ], + [ + 9401, + 10631 + ], + [ + 2261, + 10421 + ], + [ + 5251, + 8729 + ], + [ + 1615, + 9492 + ], + [ + 1866, + 6859 + ], + [ + 1548, + 1854 + ], + [ + 5467, + 9293 + ], + [ + 4503, + 7523 + ], + [ + 280, + 10970 + ], + [ + 3131, + 6490 + ], + [ + 75, + 9814 + ], + [ + 3562, + 8928 + ], + [ + 5776, + 7769 + ], + [ + 676, + 7937 + ], + [ + 6233, + 9176 + ], + [ + 1751, + 1809 + ], + [ + 10584, + 10610 + ], + [ + 1005, + 10098 + ], + [ + 10005, + 10903 + ], + [ + 3987, + 7764 + ], + [ + 7463, + 8971 + ], + [ + 873, + 11083 + ], + [ + 5004, + 8047 + ], + [ + 6810, + 11035 + ], + [ + 4369, + 10690 + ], + [ + 427, + 7209 + ], + [ + 9549, + 9697 + ], + [ + 2947, + 9540 + ], + [ + 1791, + 3436 + ], + [ + 5154, + 11374 + ], + [ + 2592, + 4653 + ], + [ + 3588, + 7092 + ], + [ + 647, + 8646 + ], + [ + 1191, + 9298 + ], + [ + 6980, + 9352 + ], + [ + 6479, + 11056 + ], + [ + 326, + 9759 + ], + [ + 11341, + 11474 + ], + [ + 3345, + 6553 + ], + [ + 3211, + 4109 + ], + [ + 2120, + 8980 + ], + [ + 3374, + 5039 + ], + [ + 728, + 4289 + ], + [ + 881, + 7537 + ], + [ + 1192, + 9119 + ], + [ + 2369, + 9684 + ], + [ + 8248, + 8500 + ], + [ + 7169, + 9224 + ], + [ + 1710, + 4386 + ], + [ + 7625, + 9275 + ], + [ + 7723, + 10564 + ], + [ + 1534, + 6604 + ], + [ + 9736, + 11401 + ], + [ + 849, + 5747 + ], + [ + 4142, + 11034 + ], + [ + 3296, + 3658 + ], + [ + 9770, + 10231 + ], + [ + 2955, + 3365 + ], + [ + 4581, + 7698 + ], + [ + 2181, + 3971 + ], + [ + 5174, + 8212 + ], + [ + 1533, + 8631 + ], + [ + 2925, + 11070 + ], + [ + 2335, + 3657 + ], + [ + 1160, + 3919 + ], + [ + 10555, + 10915 + ], + [ + 987, + 11346 + ], + [ + 680, + 9883 + ], + [ + 1824, + 8056 + ], + [ + 4967, + 7360 + ], + [ + 1173, + 6783 + ], + [ + 10419, + 11027 + ], + [ + 7002, + 10400 + ], + [ + 1890, + 3391 + ], + [ + 3662, + 7549 + ], + [ + 1955, + 3786 + ], + [ + 4875, + 11154 + ], + [ + 2152, + 4330 + ], + [ + 4341, + 11220 + ], + [ + 9351, + 11536 + ], + [ + 1159, + 8955 + ], + [ + 3120, + 9602 + ], + [ + 758, + 2195 + ], + [ + 2053, + 6953 + ], + [ + 9398, + 10601 + ], + [ + 8775, + 11376 + ], + [ + 3403, + 3474 + ], + [ + 3958, + 7668 + ], + [ + 4887, + 8131 + ], + [ + 10618, + 11213 + ], + [ + 1647, + 8894 + ], + [ + 4954, + 10107 + ], + [ + 55, + 3391 + ], + [ + 1956, + 3987 + ], + [ + 7993, + 10559 + ], + [ + 4068, + 10465 + ], + [ + 4790, + 7417 + ], + [ + 1172, + 3124 + ], + [ + 11218, + 11393 + ], + [ + 4876, + 7191 + ], + [ + 9208, + 10827 + ], + [ + 2981, + 10547 + ], + [ + 1427, + 7026 + ], + [ + 9548, + 10895 + ], + [ + 10379, + 10823 + ], + [ + 5408, + 9681 + ], + [ + 6733, + 10898 + ], + [ + 4369, + 9080 + ], + [ + 9317, + 10770 + ], + [ + 1980, + 4731 + ], + [ + 4588, + 6909 + ], + [ + 204, + 3083 + ], + [ + 9510, + 11542 + ], + [ + 1666, + 6261 + ], + [ + 9097, + 9683 + ], + [ + 7641, + 9703 + ], + [ + 131, + 7708 + ], + [ + 4799, + 4877 + ], + [ + 476, + 11126 + ], + [ + 312, + 3555 + ], + [ + 7777, + 11469 + ], + [ + 776, + 1969 + ], + [ + 3396, + 5662 + ], + [ + 3050, + 5025 + ], + [ + 4944, + 10112 + ], + [ + 6222, + 11483 + ], + [ + 2302, + 10235 + ], + [ + 6777, + 9261 + ], + [ + 6042, + 9795 + ], + [ + 4383, + 8732 + ], + [ + 3535, + 6945 + ], + [ + 3010, + 11261 + ], + [ + 8700, + 11336 + ], + [ + 4314, + 6683 + ], + [ + 1427, + 9254 + ], + [ + 4221, + 4240 + ], + [ + 9052, + 9509 + ], + [ + 5504, + 5955 + ], + [ + 6000, + 6536 + ], + [ + 1262, + 2212 + ], + [ + 384, + 10382 + ], + [ + 1946, + 11512 + ], + [ + 2135, + 4995 + ], + [ + 1230, + 2674 + ], + [ + 2940, + 5954 + ], + [ + 6080, + 7993 + ], + [ + 4019, + 10148 + ], + [ + 1166, + 11549 + ], + [ + 4927, + 5570 + ], + [ + 2867, + 10579 + ], + [ + 8570, + 9361 + ], + [ + 1123, + 7688 + ], + [ + 70, + 3217 + ], + [ + 2494, + 2834 + ], + [ + 7746, + 11351 + ], + [ + 4635, + 8552 + ], + [ + 8, + 11384 + ], + [ + 3322, + 8880 + ], + [ + 6563, + 10971 + ], + [ + 5534, + 10304 + ], + [ + 6444, + 9559 + ], + [ + 6002, + 6208 + ], + [ + 8990, + 10859 + ], + [ + 644, + 2176 + ], + [ + 6906, + 11310 + ], + [ + 6185, + 10796 + ], + [ + 5696, + 8353 + ], + [ + 1114, + 10204 + ], + [ + 1386, + 8448 + ], + [ + 57, + 8243 + ], + [ + 4840, + 5170 + ], + [ + 5063, + 5407 + ], + [ + 1916, + 2197 + ], + [ + 9668, + 10141 + ], + [ + 1879, + 2315 + ], + [ + 3677, + 5442 + ], + [ + 7613, + 9078 + ], + [ + 1373, + 4429 + ], + [ + 1430, + 8346 + ], + [ + 2462, + 5524 + ], + [ + 6610, + 7353 + ], + [ + 3340, + 9405 + ], + [ + 749, + 8362 + ], + [ + 5855, + 11392 + ], + [ + 1146, + 5554 + ], + [ + 10519, + 11071 + ], + [ + 1522, + 8285 + ], + [ + 5685, + 9668 + ], + [ + 9146, + 9813 + ], + [ + 2823, + 9825 + ], + [ + 772, + 6252 + ], + [ + 5369, + 11125 + ], + [ + 4531, + 10026 + ], + [ + 5224, + 8492 + ], + [ + 3292, + 6331 + ], + [ + 1912, + 6935 + ], + [ + 1476, + 7536 + ], + [ + 1254, + 8655 + ], + [ + 137, + 2479 + ], + [ + 4592, + 8400 + ], + [ + 763, + 8768 + ], + [ + 446, + 6617 + ], + [ + 3371, + 4530 + ], + [ + 4150, + 10684 + ], + [ + 253, + 6976 + ], + [ + 2615, + 5715 + ], + [ + 283, + 1900 + ], + [ + 5704, + 10418 + ], + [ + 8777, + 11235 + ], + [ + 3546, + 8476 + ], + [ + 8833, + 11544 + ], + [ + 371, + 8136 + ], + [ + 550, + 9599 + ], + [ + 4249, + 6906 + ], + [ + 3440, + 4293 + ], + [ + 577, + 5760 + ], + [ + 3145, + 11515 + ], + [ + 10044, + 10912 + ], + [ + 8239, + 10024 + ], + [ + 2353, + 10037 + ], + [ + 3633, + 8071 + ], + [ + 3225, + 4304 + ], + [ + 1980, + 10960 + ], + [ + 1920, + 4493 + ], + [ + 6333, + 6805 + ], + [ + 4114, + 6839 + ], + [ + 1101, + 10991 + ], + [ + 4649, + 8129 + ], + [ + 907, + 1326 + ], + [ + 15, + 9790 + ], + [ + 3430, + 7338 + ], + [ + 9195, + 9250 + ], + [ + 1805, + 5859 + ], + [ + 5822, + 10423 + ], + [ + 4860, + 5316 + ], + [ + 3480, + 10084 + ], + [ + 4507, + 7672 + ], + [ + 5016, + 5829 + ], + [ + 9298, + 9378 + ], + [ + 1958, + 6074 + ], + [ + 1827, + 6557 + ], + [ + 5096, + 11450 + ], + [ + 1491, + 6608 + ], + [ + 1331, + 9359 + ], + [ + 3201, + 7636 + ], + [ + 1262, + 11474 + ], + [ + 2353, + 5849 + ], + [ + 7363, + 9171 + ], + [ + 3103, + 7101 + ], + [ + 5726, + 10311 + ], + [ + 991, + 9668 + ], + [ + 3976, + 10638 + ], + [ + 4506, + 6666 + ], + [ + 7577, + 10820 + ], + [ + 5146, + 7780 + ], + [ + 2252, + 2764 + ], + [ + 5149, + 7297 + ], + [ + 3258, + 5137 + ], + [ + 9512, + 10246 + ], + [ + 6892, + 10717 + ], + [ + 6155, + 10424 + ], + [ + 5615, + 6538 + ], + [ + 1974, + 6203 + ], + [ + 6856, + 8027 + ], + [ + 4927, + 5383 + ], + [ + 818, + 9898 + ], + [ + 42, + 4015 + ], + [ + 5766, + 9336 + ], + [ + 226, + 2789 + ], + [ + 8806, + 11144 + ], + [ + 1086, + 1203 + ], + [ + 4048, + 8797 + ], + [ + 7059, + 7982 + ], + [ + 8873, + 9333 + ], + [ + 174, + 5258 + ], + [ + 5039, + 9357 + ], + [ + 593, + 4653 + ], + [ + 3317, + 4562 + ], + [ + 459, + 8625 + ], + [ + 6128, + 7823 + ], + [ + 1727, + 2138 + ], + [ + 1135, + 4478 + ], + [ + 1763, + 1795 + ], + [ + 4345, + 11420 + ], + [ + 2480, + 7071 + ], + [ + 7922, + 10050 + ], + [ + 1384, + 5182 + ], + [ + 4092, + 7564 + ], + [ + 3042, + 6020 + ], + [ + 9726, + 9959 + ], + [ + 3198, + 6533 + ], + [ + 1877, + 2082 + ], + [ + 894, + 4766 + ], + [ + 4373, + 10435 + ], + [ + 2594, + 11522 + ], + [ + 6735, + 11426 + ], + [ + 164, + 11336 + ], + [ + 8321, + 10698 + ], + [ + 6423, + 10373 + ], + [ + 8295, + 9477 + ], + [ + 1072, + 7512 + ], + [ + 3871, + 8504 + ], + [ + 623, + 2990 + ], + [ + 442, + 7116 + ], + [ + 6665, + 9906 + ], + [ + 6238, + 8341 + ], + [ + 1496, + 6527 + ], + [ + 3123, + 7298 + ], + [ + 2156, + 8263 + ], + [ + 3020, + 4167 + ], + [ + 5267, + 5400 + ], + [ + 2149, + 7092 + ], + [ + 2583, + 4166 + ], + [ + 5674, + 9696 + ], + [ + 2155, + 11044 + ], + [ + 1527, + 11475 + ], + [ + 6100, + 11036 + ], + [ + 2640, + 8083 + ], + [ + 217, + 4904 + ], + [ + 408, + 1466 + ], + [ + 9673, + 9924 + ], + [ + 158, + 1291 + ], + [ + 1431, + 1564 + ], + [ + 4225, + 9382 + ], + [ + 3358, + 3381 + ], + [ + 7423, + 8393 + ], + [ + 5403, + 6385 + ], + [ + 4910, + 6452 + ], + [ + 953, + 1939 + ], + [ + 58, + 306 + ], + [ + 5159, + 7156 + ], + [ + 388, + 2692 + ], + [ + 4842, + 11421 + ], + [ + 2168, + 10875 + ], + [ + 886, + 10516 + ], + [ + 10230, + 11131 + ], + [ + 765, + 6025 + ], + [ + 3533, + 8458 + ], + [ + 1534, + 5075 + ], + [ + 5238, + 8388 + ], + [ + 3250, + 9301 + ], + [ + 131, + 1723 + ], + [ + 1343, + 4726 + ], + [ + 4744, + 4820 + ], + [ + 8345, + 11418 + ], + [ + 1626, + 10676 + ], + [ + 4021, + 8397 + ], + [ + 1244, + 10382 + ], + [ + 3047, + 7437 + ], + [ + 1526, + 7062 + ], + [ + 5395, + 9476 + ], + [ + 3547, + 6262 + ], + [ + 3884, + 4901 + ], + [ + 1839, + 8690 + ], + [ + 1108, + 1826 + ], + [ + 6240, + 10241 + ], + [ + 2265, + 4368 + ], + [ + 4837, + 6889 + ], + [ + 232, + 1374 + ], + [ + 2384, + 4999 + ], + [ + 7518, + 7825 + ], + [ + 2532, + 5651 + ], + [ + 8046, + 10196 + ], + [ + 1950, + 2263 + ], + [ + 6060, + 7772 + ], + [ + 4933, + 10734 + ], + [ + 2031, + 10738 + ], + [ + 9570, + 11219 + ], + [ + 3775, + 7186 + ], + [ + 1316, + 2098 + ], + [ + 1689, + 10974 + ], + [ + 249, + 5111 + ], + [ + 1461, + 8114 + ], + [ + 4606, + 10497 + ], + [ + 4673, + 5303 + ], + [ + 5289, + 7521 + ], + [ + 2430, + 11359 + ], + [ + 3672, + 10067 + ], + [ + 1860, + 2346 + ], + [ + 3327, + 6622 + ], + [ + 2231, + 11149 + ], + [ + 3721, + 5795 + ], + [ + 4251, + 8993 + ], + [ + 6907, + 8179 + ], + [ + 1892, + 4486 + ], + [ + 1484, + 7135 + ], + [ + 1112, + 10939 + ], + [ + 551, + 9182 + ], + [ + 3373, + 5462 + ], + [ + 1969, + 5672 + ], + [ + 5558, + 5817 + ], + [ + 1170, + 8665 + ], + [ + 2013, + 5944 + ], + [ + 1354, + 11226 + ], + [ + 7259, + 9011 + ], + [ + 1350, + 7320 + ], + [ + 4999, + 7516 + ], + [ + 2063, + 2274 + ], + [ + 5547, + 8287 + ], + [ + 5789, + 7820 + ], + [ + 7471, + 9052 + ], + [ + 2275, + 3096 + ], + [ + 501, + 4527 + ], + [ + 5888, + 7799 + ], + [ + 2273, + 7187 + ], + [ + 2894, + 5585 + ], + [ + 1999, + 8116 + ], + [ + 5421, + 9087 + ], + [ + 1491, + 8649 + ], + [ + 6874, + 8015 + ], + [ + 6565, + 10643 + ], + [ + 6472, + 7446 + ], + [ + 6066, + 6758 + ], + [ + 2783, + 10857 + ], + [ + 1057, + 2880 + ], + [ + 2077, + 3461 + ], + [ + 164, + 1350 + ], + [ + 241, + 4014 + ], + [ + 5518, + 8646 + ], + [ + 2381, + 3872 + ], + [ + 2157, + 4918 + ], + [ + 1133, + 4595 + ], + [ + 3903, + 7855 + ], + [ + 4147, + 10467 + ], + [ + 5370, + 11377 + ], + [ + 10521, + 11174 + ], + [ + 5077, + 7368 + ], + [ + 4521, + 10119 + ], + [ + 3936, + 7214 + ], + [ + 4672, + 9534 + ], + [ + 10523, + 11220 + ], + [ + 6538, + 11075 + ], + [ + 1378, + 7782 + ], + [ + 4366, + 9427 + ], + [ + 55, + 252 + ], + [ + 2114, + 7850 + ], + [ + 2208, + 7485 + ], + [ + 4758, + 6275 + ], + [ + 6382, + 7529 + ], + [ + 4489, + 7548 + ], + [ + 7040, + 9192 + ], + [ + 1983, + 8306 + ], + [ + 8115, + 9480 + ], + [ + 9245, + 10199 + ], + [ + 59, + 6760 + ], + [ + 4200, + 10828 + ], + [ + 6991, + 8549 + ], + [ + 6688, + 8740 + ], + [ + 898, + 10713 + ], + [ + 2548, + 7526 + ], + [ + 2753, + 7958 + ], + [ + 2983, + 10864 + ], + [ + 4845, + 5870 + ], + [ + 9694, + 10964 + ], + [ + 1346, + 1454 + ], + [ + 5676, + 8427 + ], + [ + 1295, + 4872 + ], + [ + 5997, + 7287 + ], + [ + 1878, + 11114 + ], + [ + 104, + 6129 + ], + [ + 9, + 2859 + ], + [ + 1161, + 11473 + ], + [ + 6106, + 7230 + ], + [ + 9745, + 10148 + ], + [ + 6133, + 9053 + ], + [ + 1967, + 6618 + ], + [ + 10833, + 11395 + ], + [ + 4520, + 9089 + ], + [ + 2092, + 5566 + ], + [ + 3516, + 6008 + ], + [ + 6661, + 8391 + ], + [ + 6687, + 7360 + ], + [ + 10391, + 11427 + ], + [ + 3610, + 9807 + ], + [ + 2454, + 3703 + ], + [ + 10045, + 10790 + ], + [ + 1826, + 4134 + ], + [ + 1526, + 10258 + ], + [ + 6037, + 9695 + ], + [ + 6159, + 10624 + ], + [ + 610, + 10030 + ], + [ + 2816, + 8256 + ], + [ + 8961, + 9635 + ], + [ + 5962, + 7077 + ], + [ + 8427, + 9701 + ], + [ + 767, + 11145 + ], + [ + 734, + 8753 + ], + [ + 8172, + 8428 + ], + [ + 8270, + 9717 + ], + [ + 4710, + 11064 + ], + [ + 1890, + 2025 + ], + [ + 7588, + 9131 + ], + [ + 420, + 10283 + ], + [ + 2041, + 2194 + ], + [ + 363, + 3333 + ], + [ + 635, + 1577 + ], + [ + 3408, + 8518 + ], + [ + 6949, + 7868 + ], + [ + 3618, + 6261 + ], + [ + 6534, + 9346 + ], + [ + 756, + 6418 + ], + [ + 5417, + 6580 + ], + [ + 697, + 9221 + ], + [ + 1750, + 8030 + ], + [ + 5322, + 9726 + ], + [ + 8374, + 8912 + ], + [ + 7997, + 8962 + ], + [ + 1280, + 2631 + ], + [ + 3515, + 8765 + ], + [ + 8186, + 9615 + ], + [ + 1364, + 1578 + ], + [ + 3100, + 3827 + ], + [ + 522, + 9405 + ], + [ + 3946, + 4787 + ], + [ + 1399, + 10432 + ], + [ + 153, + 5566 + ], + [ + 14, + 2024 + ], + [ + 8453, + 10898 + ], + [ + 708, + 9760 + ], + [ + 4603, + 10389 + ], + [ + 1211, + 7348 + ], + [ + 5968, + 10224 + ], + [ + 3938, + 7528 + ], + [ + 3198, + 6964 + ], + [ + 7859, + 9378 + ], + [ + 8259, + 10251 + ], + [ + 6829, + 9240 + ], + [ + 2510, + 6563 + ], + [ + 5672, + 10081 + ], + [ + 7454, + 8511 + ], + [ + 1568, + 8524 + ], + [ + 6910, + 7135 + ], + [ + 408, + 4930 + ], + [ + 3276, + 8725 + ], + [ + 1091, + 2708 + ], + [ + 2646, + 8329 + ], + [ + 2346, + 8037 + ], + [ + 622, + 9585 + ], + [ + 2771, + 7277 + ], + [ + 3296, + 3715 + ], + [ + 3834, + 6774 + ], + [ + 1996, + 10664 + ], + [ + 8689, + 9431 + ], + [ + 4857, + 6872 + ], + [ + 10612, + 11506 + ], + [ + 1374, + 7877 + ], + [ + 7305, + 11047 + ], + [ + 3444, + 9248 + ], + [ + 190, + 10305 + ], + [ + 990, + 10920 + ], + [ + 2726, + 6753 + ], + [ + 391, + 9837 + ], + [ + 50, + 9544 + ], + [ + 179, + 5982 + ], + [ + 3656, + 10824 + ], + [ + 175, + 8492 + ], + [ + 980, + 7199 + ], + [ + 455, + 4345 + ], + [ + 5677, + 9270 + ], + [ + 542, + 557 + ], + [ + 1608, + 3735 + ], + [ + 3958, + 7375 + ], + [ + 3061, + 9079 + ], + [ + 7173, + 8245 + ], + [ + 2803, + 8289 + ], + [ + 1318, + 3407 + ], + [ + 6173, + 6818 + ], + [ + 2687, + 4142 + ], + [ + 2180, + 8283 + ], + [ + 3455, + 10137 + ], + [ + 2092, + 6184 + ], + [ + 3823, + 8089 + ], + [ + 3987, + 6211 + ], + [ + 4412, + 5451 + ], + [ + 11113, + 11249 + ], + [ + 220, + 8211 + ], + [ + 2323, + 5558 + ], + [ + 8623, + 11012 + ], + [ + 339, + 3207 + ], + [ + 373, + 2037 + ], + [ + 894, + 3237 + ], + [ + 6931, + 7557 + ], + [ + 4042, + 10055 + ], + [ + 3479, + 4465 + ], + [ + 9554, + 11521 + ], + [ + 7393, + 9308 + ], + [ + 827, + 5398 + ], + [ + 9450, + 10417 + ], + [ + 5360, + 6314 + ], + [ + 4088, + 8895 + ], + [ + 4002, + 7623 + ], + [ + 7763, + 8060 + ], + [ + 2758, + 5082 + ], + [ + 1978, + 8125 + ], + [ + 3222, + 3496 + ], + [ + 1099, + 4773 + ], + [ + 5422, + 10575 + ], + [ + 5355, + 9353 + ], + [ + 1819, + 7314 + ], + [ + 5050, + 8717 + ], + [ + 330, + 11358 + ], + [ + 664, + 4064 + ], + [ + 1407, + 8309 + ], + [ + 1443, + 1550 + ], + [ + 7537, + 8656 + ], + [ + 7377, + 11407 + ], + [ + 1926, + 10594 + ], + [ + 2335, + 5137 + ], + [ + 4298, + 4359 + ], + [ + 7630, + 8066 + ], + [ + 994, + 3417 + ], + [ + 2616, + 8008 + ], + [ + 1654, + 5153 + ], + [ + 7256, + 9545 + ], + [ + 6318, + 11248 + ], + [ + 10050, + 10947 + ], + [ + 26, + 10573 + ], + [ + 4107, + 10426 + ], + [ + 2083, + 4512 + ], + [ + 6527, + 9143 + ], + [ + 3786, + 10785 + ], + [ + 928, + 6180 + ], + [ + 272, + 399 + ], + [ + 7429, + 11166 + ], + [ + 509, + 6004 + ], + [ + 4251, + 6391 + ], + [ + 7895, + 9653 + ], + [ + 739, + 2494 + ], + [ + 6150, + 10324 + ], + [ + 2750, + 6668 + ], + [ + 890, + 2663 + ], + [ + 7390, + 8205 + ], + [ + 3185, + 6596 + ], + [ + 1199, + 3418 + ], + [ + 43, + 1478 + ], + [ + 2004, + 2125 + ], + [ + 316, + 2576 + ], + [ + 448, + 9111 + ], + [ + 4077, + 7177 + ], + [ + 4214, + 9892 + ], + [ + 854, + 4137 + ], + [ + 2427, + 4702 + ], + [ + 690, + 8644 + ], + [ + 5449, + 8183 + ], + [ + 4172, + 9666 + ], + [ + 163, + 5717 + ], + [ + 1341, + 2720 + ], + [ + 2215, + 3476 + ], + [ + 5669, + 6614 + ], + [ + 3487, + 6530 + ], + [ + 6468, + 7758 + ], + [ + 3641, + 3964 + ], + [ + 7524, + 10248 + ], + [ + 430, + 3967 + ], + [ + 9573, + 10742 + ], + [ + 2166, + 5462 + ], + [ + 526, + 10091 + ], + [ + 2021, + 2829 + ], + [ + 951, + 2161 + ], + [ + 8054, + 9659 + ], + [ + 298, + 4979 + ], + [ + 14, + 5220 + ], + [ + 4002, + 9046 + ], + [ + 1194, + 5302 + ], + [ + 6018, + 9400 + ], + [ + 2257, + 2547 + ], + [ + 49, + 1242 + ], + [ + 3598, + 7650 + ], + [ + 785, + 3562 + ], + [ + 3992, + 6823 + ], + [ + 2374, + 6515 + ], + [ + 3489, + 6202 + ], + [ + 8320, + 11471 + ], + [ + 1345, + 2438 + ], + [ + 6360, + 9514 + ], + [ + 2005, + 10590 + ], + [ + 2031, + 9559 + ], + [ + 2554, + 11586 + ], + [ + 4806, + 6747 + ], + [ + 4296, + 11371 + ], + [ + 9153, + 10691 + ], + [ + 8403, + 10193 + ], + [ + 8530, + 11466 + ], + [ + 1801, + 3620 + ], + [ + 4, + 4101 + ], + [ + 1874, + 8794 + ], + [ + 962, + 3050 + ], + [ + 215, + 8485 + ], + [ + 4819, + 10365 + ], + [ + 1793, + 2978 + ], + [ + 836, + 4631 + ], + [ + 3759, + 3969 + ], + [ + 3915, + 8646 + ], + [ + 3665, + 7717 + ], + [ + 4284, + 10206 + ], + [ + 8273, + 10470 + ], + [ + 2069, + 4724 + ], + [ + 2812, + 8969 + ], + [ + 9454, + 11154 + ], + [ + 289, + 6340 + ], + [ + 4370, + 6193 + ], + [ + 8175, + 10312 + ], + [ + 3965, + 8359 + ], + [ + 455, + 1125 + ], + [ + 6200, + 8077 + ], + [ + 6821, + 10639 + ], + [ + 11313, + 11524 + ], + [ + 971, + 6145 + ], + [ + 3099, + 5212 + ], + [ + 2621, + 2958 + ], + [ + 1875, + 4831 + ], + [ + 2090, + 5951 + ], + [ + 3427, + 4519 + ], + [ + 6924, + 10737 + ], + [ + 5336, + 9140 + ], + [ + 8192, + 11420 + ], + [ + 928, + 6448 + ], + [ + 1122, + 9697 + ], + [ + 1720, + 4139 + ], + [ + 785, + 9523 + ], + [ + 5190, + 7810 + ], + [ + 3729, + 7486 + ], + [ + 6346, + 7498 + ], + [ + 7562, + 7991 + ], + [ + 1172, + 6027 + ], + [ + 3670, + 3873 + ], + [ + 3826, + 8550 + ], + [ + 8679, + 11134 + ], + [ + 584, + 2824 + ], + [ + 9489, + 10185 + ], + [ + 143, + 2327 + ], + [ + 9475, + 11226 + ], + [ + 2787, + 4135 + ], + [ + 3246, + 7867 + ], + [ + 1062, + 11120 + ], + [ + 2378, + 8811 + ], + [ + 5519, + 7288 + ], + [ + 6575, + 9778 + ], + [ + 5675, + 7801 + ], + [ + 3330, + 10197 + ], + [ + 6, + 5597 + ], + [ + 847, + 6967 + ], + [ + 4704, + 11276 + ], + [ + 4976, + 9520 + ], + [ + 3634, + 4192 + ], + [ + 6869, + 8720 + ], + [ + 2880, + 5423 + ], + [ + 9701, + 9825 + ], + [ + 5902, + 6652 + ], + [ + 1702, + 5387 + ], + [ + 184, + 10945 + ], + [ + 1726, + 9945 + ], + [ + 5650, + 11312 + ], + [ + 4043, + 5501 + ], + [ + 115, + 6644 + ], + [ + 2763, + 8221 + ], + [ + 3007, + 10833 + ], + [ + 8361, + 10959 + ], + [ + 395, + 2497 + ], + [ + 6453, + 6940 + ], + [ + 7848, + 8896 + ], + [ + 4429, + 8196 + ], + [ + 74, + 9272 + ], + [ + 8563, + 11093 + ], + [ + 1999, + 8010 + ], + [ + 853, + 6758 + ], + [ + 4800, + 10583 + ], + [ + 2061, + 8888 + ], + [ + 3709, + 9038 + ], + [ + 8196, + 9579 + ], + [ + 596, + 5412 + ], + [ + 2901, + 10033 + ], + [ + 5767, + 6585 + ], + [ + 7041, + 10466 + ], + [ + 1838, + 3339 + ], + [ + 3672, + 6123 + ], + [ + 4855, + 10640 + ], + [ + 366, + 8518 + ], + [ + 4010, + 6118 + ], + [ + 10649, + 11038 + ], + [ + 2332, + 8011 + ], + [ + 5969, + 10102 + ], + [ + 2762, + 6841 + ], + [ + 5597, + 8244 + ], + [ + 578, + 3678 + ], + [ + 3203, + 3551 + ], + [ + 1637, + 5685 + ], + [ + 6212, + 6827 + ], + [ + 3755, + 8228 + ], + [ + 1427, + 1903 + ], + [ + 1568, + 7800 + ], + [ + 766, + 6358 + ], + [ + 5031, + 8772 + ], + [ + 857, + 6476 + ], + [ + 46, + 9452 + ], + [ + 7957, + 9539 + ], + [ + 6823, + 7920 + ], + [ + 10069, + 10355 + ], + [ + 3130, + 5143 + ], + [ + 5019, + 10640 + ], + [ + 607, + 8930 + ], + [ + 2159, + 4454 + ], + [ + 1407, + 9545 + ], + [ + 1501, + 6928 + ], + [ + 5704, + 7710 + ], + [ + 2707, + 5979 + ], + [ + 4869, + 11046 + ], + [ + 4704, + 6283 + ], + [ + 91, + 8821 + ], + [ + 4549, + 9378 + ], + [ + 6562, + 9461 + ], + [ + 745, + 943 + ], + [ + 2925, + 7370 + ], + [ + 27, + 4864 + ], + [ + 5290, + 5626 + ], + [ + 5412, + 7309 + ], + [ + 1124, + 10361 + ], + [ + 5071, + 11180 + ], + [ + 6382, + 7773 + ], + [ + 3582, + 8808 + ], + [ + 9621, + 9791 + ], + [ + 2696, + 4285 + ], + [ + 2787, + 4403 + ], + [ + 1986, + 5815 + ], + [ + 5781, + 10000 + ], + [ + 5313, + 7680 + ], + [ + 6894, + 8860 + ], + [ + 6675, + 7244 + ], + [ + 2547, + 7545 + ], + [ + 3132, + 10450 + ], + [ + 1391, + 1441 + ], + [ + 3099, + 8058 + ], + [ + 2851, + 8710 + ], + [ + 358, + 4038 + ], + [ + 6858, + 9580 + ], + [ + 5614, + 7793 + ], + [ + 5144, + 5400 + ], + [ + 825, + 6133 + ], + [ + 3743, + 9291 + ], + [ + 5341, + 5914 + ], + [ + 3904, + 10148 + ], + [ + 1540, + 8330 + ], + [ + 1695, + 5989 + ], + [ + 2094, + 3254 + ], + [ + 1530, + 11025 + ], + [ + 250, + 3165 + ], + [ + 1535, + 4953 + ], + [ + 2343, + 3177 + ], + [ + 6314, + 11560 + ], + [ + 3981, + 9055 + ], + [ + 3197, + 8192 + ], + [ + 5000, + 5247 + ], + [ + 6099, + 10817 + ], + [ + 9545, + 9930 + ], + [ + 2452, + 10667 + ], + [ + 4504, + 11432 + ], + [ + 5161, + 9487 + ], + [ + 54, + 9238 + ], + [ + 3910, + 4277 + ], + [ + 3536, + 8008 + ], + [ + 4549, + 7418 + ], + [ + 3339, + 10877 + ], + [ + 6487, + 10525 + ], + [ + 2991, + 7161 + ], + [ + 3648, + 5216 + ], + [ + 3861, + 6263 + ], + [ + 4762, + 11094 + ], + [ + 2398, + 2860 + ], + [ + 2771, + 8326 + ], + [ + 431, + 4650 + ], + [ + 8739, + 10597 + ], + [ + 3207, + 11108 + ], + [ + 924, + 1550 + ], + [ + 3234, + 6515 + ], + [ + 1303, + 10214 + ], + [ + 6530, + 9067 + ], + [ + 6101, + 6675 + ], + [ + 5562, + 5643 + ], + [ + 3881, + 8019 + ], + [ + 639, + 7955 + ], + [ + 4247, + 5144 + ], + [ + 2292, + 8449 + ], + [ + 4783, + 9288 + ], + [ + 8754, + 11255 + ], + [ + 548, + 8968 + ], + [ + 4865, + 7408 + ], + [ + 8108, + 10326 + ], + [ + 3942, + 7891 + ], + [ + 632, + 1499 + ], + [ + 100, + 3890 + ], + [ + 141, + 3891 + ], + [ + 7517, + 9858 + ], + [ + 3059, + 7049 + ], + [ + 380, + 6159 + ], + [ + 1541, + 6945 + ], + [ + 1658, + 7530 + ], + [ + 4856, + 6541 + ], + [ + 8438, + 9679 + ], + [ + 253, + 8269 + ], + [ + 1898, + 3984 + ], + [ + 5509, + 5608 + ], + [ + 1687, + 2983 + ], + [ + 4550, + 6434 + ], + [ + 10271, + 11457 + ], + [ + 2016, + 5144 + ], + [ + 7900, + 8468 + ], + [ + 1398, + 6263 + ], + [ + 529, + 3599 + ], + [ + 3603, + 7270 + ], + [ + 2858, + 7116 + ], + [ + 3942, + 6736 + ], + [ + 2230, + 2629 + ], + [ + 10380, + 11400 + ], + [ + 5151, + 10222 + ], + [ + 1398, + 9646 + ], + [ + 2007, + 10693 + ], + [ + 1821, + 8059 + ], + [ + 4491, + 11115 + ], + [ + 1655, + 10241 + ], + [ + 2693, + 11371 + ], + [ + 6430, + 11414 + ], + [ + 7077, + 8781 + ], + [ + 702, + 1433 + ], + [ + 1220, + 3116 + ], + [ + 7233, + 9294 + ], + [ + 1682, + 11283 + ], + [ + 1773, + 4985 + ], + [ + 465, + 11319 + ], + [ + 6659, + 9207 + ], + [ + 4854, + 9073 + ], + [ + 8534, + 8582 + ], + [ + 3573, + 7404 + ], + [ + 1706, + 6392 + ], + [ + 4290, + 10428 + ], + [ + 3333, + 7917 + ], + [ + 5045, + 5608 + ], + [ + 3569, + 4252 + ], + [ + 3360, + 4078 + ], + [ + 1354, + 5940 + ], + [ + 5073, + 11039 + ], + [ + 3069, + 3148 + ], + [ + 1422, + 10016 + ], + [ + 8855, + 10101 + ], + [ + 3313, + 3508 + ], + [ + 4842, + 7908 + ], + [ + 554, + 10960 + ], + [ + 401, + 3548 + ], + [ + 4656, + 5274 + ], + [ + 6712, + 6939 + ], + [ + 5313, + 7493 + ], + [ + 482, + 2224 + ], + [ + 2424, + 9237 + ], + [ + 239, + 3220 + ], + [ + 6436, + 11205 + ], + [ + 3253, + 8338 + ], + [ + 6498, + 7919 + ], + [ + 887, + 3441 + ], + [ + 4818, + 6733 + ], + [ + 5924, + 8586 + ], + [ + 884, + 9559 + ], + [ + 7303, + 10009 + ], + [ + 10818, + 11171 + ], + [ + 5240, + 11337 + ], + [ + 3657, + 3668 + ], + [ + 4242, + 6573 + ], + [ + 4646, + 11352 + ], + [ + 7672, + 11569 + ], + [ + 7318, + 11071 + ], + [ + 623, + 8471 + ], + [ + 2653, + 11167 + ], + [ + 1536, + 10653 + ], + [ + 2395, + 6213 + ], + [ + 9802, + 10739 + ], + [ + 4855, + 8493 + ], + [ + 4773, + 9592 + ], + [ + 2187, + 8893 + ], + [ + 7820, + 9188 + ], + [ + 158, + 9805 + ], + [ + 991, + 3390 + ], + [ + 87, + 11093 + ], + [ + 2587, + 3350 + ], + [ + 1962, + 3298 + ], + [ + 9269, + 10626 + ], + [ + 4601, + 7795 + ], + [ + 3381, + 3396 + ], + [ + 3883, + 4546 + ], + [ + 4779, + 9787 + ], + [ + 2291, + 5459 + ], + [ + 4285, + 8498 + ], + [ + 1210, + 5356 + ], + [ + 5067, + 9665 + ], + [ + 4069, + 11317 + ], + [ + 3221, + 9530 + ], + [ + 3627, + 3802 + ], + [ + 4155, + 6173 + ], + [ + 1039, + 9446 + ], + [ + 1980, + 7260 + ], + [ + 6328, + 9177 + ], + [ + 700, + 2810 + ], + [ + 2754, + 10818 + ], + [ + 853, + 3806 + ], + [ + 1598, + 4714 + ], + [ + 3376, + 9818 + ], + [ + 117, + 6367 + ], + [ + 1163, + 8169 + ], + [ + 3253, + 10916 + ], + [ + 1039, + 6413 + ], + [ + 5111, + 8432 + ], + [ + 4550, + 10085 + ], + [ + 2776, + 5100 + ], + [ + 2283, + 11583 + ], + [ + 8071, + 8783 + ], + [ + 1774, + 2846 + ], + [ + 6011, + 7376 + ], + [ + 5893, + 8818 + ], + [ + 1781, + 7400 + ], + [ + 9809, + 10324 + ], + [ + 8276, + 8434 + ], + [ + 6371, + 11102 + ], + [ + 1772, + 3150 + ], + [ + 2269, + 3956 + ], + [ + 555, + 5438 + ], + [ + 9610, + 10114 + ], + [ + 5625, + 6559 + ], + [ + 4754, + 7232 + ], + [ + 8680, + 10180 + ], + [ + 2544, + 9264 + ], + [ + 5337, + 6277 + ], + [ + 10153, + 10514 + ], + [ + 102, + 10946 + ], + [ + 4424, + 7478 + ], + [ + 6459, + 10518 + ], + [ + 8043, + 8963 + ], + [ + 6518, + 11098 + ], + [ + 3705, + 11174 + ], + [ + 5361, + 11185 + ], + [ + 1521, + 8011 + ], + [ + 3761, + 8073 + ], + [ + 2773, + 10413 + ], + [ + 8747, + 10247 + ], + [ + 6186, + 11298 + ], + [ + 3488, + 3942 + ], + [ + 5072, + 8049 + ], + [ + 3575, + 8068 + ], + [ + 10397, + 10443 + ], + [ + 2324, + 2858 + ], + [ + 5847, + 11051 + ], + [ + 1112, + 9654 + ], + [ + 5444, + 6874 + ], + [ + 729, + 9889 + ], + [ + 4753, + 6956 + ], + [ + 3502, + 10414 + ], + [ + 4626, + 10564 + ], + [ + 356, + 1390 + ], + [ + 6988, + 9303 + ], + [ + 4438, + 11267 + ], + [ + 1840, + 9053 + ], + [ + 697, + 7318 + ], + [ + 1313, + 9536 + ], + [ + 6576, + 10298 + ], + [ + 416, + 5578 + ], + [ + 10586, + 11439 + ], + [ + 9779, + 10407 + ], + [ + 823, + 9120 + ], + [ + 6014, + 8316 + ], + [ + 283, + 5234 + ], + [ + 4801, + 5842 + ], + [ + 4553, + 5740 + ], + [ + 3822, + 5292 + ], + [ + 432, + 8740 + ], + [ + 6530, + 10303 + ], + [ + 750, + 11466 + ], + [ + 9461, + 11414 + ], + [ + 4198, + 4236 + ], + [ + 2988, + 8449 + ], + [ + 1603, + 2293 + ], + [ + 2420, + 2515 + ], + [ + 1518, + 10291 + ], + [ + 6308, + 8389 + ], + [ + 2739, + 10374 + ], + [ + 8209, + 8985 + ], + [ + 4061, + 7910 + ], + [ + 365, + 1452 + ], + [ + 57, + 3551 + ], + [ + 977, + 2016 + ], + [ + 6054, + 10724 + ], + [ + 6584, + 7506 + ], + [ + 5493, + 5961 + ], + [ + 9598, + 10372 + ], + [ + 8882, + 10956 + ], + [ + 1198, + 1426 + ], + [ + 2495, + 6257 + ], + [ + 3467, + 4138 + ], + [ + 1531, + 6739 + ], + [ + 2938, + 10210 + ], + [ + 6678, + 9770 + ], + [ + 4550, + 10703 + ], + [ + 218, + 651 + ], + [ + 572, + 1149 + ], + [ + 2188, + 2515 + ], + [ + 5109, + 9354 + ], + [ + 5756, + 6721 + ], + [ + 1256, + 11580 + ], + [ + 3538, + 4728 + ], + [ + 10337, + 11061 + ], + [ + 5511, + 6890 + ], + [ + 4518, + 8132 + ], + [ + 3021, + 5899 + ], + [ + 3014, + 4728 + ], + [ + 5567, + 9451 + ], + [ + 4693, + 6443 + ], + [ + 5188, + 10586 + ], + [ + 9152, + 9854 + ], + [ + 4472, + 4754 + ], + [ + 360, + 3336 + ], + [ + 2820, + 5616 + ], + [ + 10729, + 11292 + ], + [ + 7365, + 9545 + ], + [ + 300, + 2504 + ], + [ + 7175, + 9421 + ], + [ + 2636, + 6438 + ], + [ + 4714, + 7670 + ], + [ + 1942, + 10753 + ], + [ + 7366, + 10120 + ], + [ + 8009, + 9997 + ], + [ + 8107, + 11286 + ], + [ + 2350, + 2819 + ], + [ + 6830, + 7107 + ], + [ + 3769, + 9333 + ], + [ + 2289, + 4795 + ], + [ + 4763, + 10945 + ], + [ + 3051, + 6838 + ], + [ + 4299, + 9498 + ], + [ + 1966, + 2829 + ], + [ + 8029, + 8370 + ], + [ + 3772, + 10735 + ], + [ + 1837, + 4112 + ], + [ + 2769, + 10508 + ], + [ + 2117, + 6381 + ], + [ + 4634, + 8441 + ], + [ + 1303, + 3424 + ], + [ + 6216, + 10223 + ], + [ + 454, + 8582 + ], + [ + 4528, + 5012 + ], + [ + 240, + 7310 + ], + [ + 1914, + 2265 + ], + [ + 6979, + 9458 + ], + [ + 5553, + 10818 + ], + [ + 6546, + 9576 + ], + [ + 7384, + 10675 + ], + [ + 5833, + 7425 + ], + [ + 8508, + 10825 + ], + [ + 5767, + 9057 + ], + [ + 6460, + 6769 + ], + [ + 6629, + 8298 + ], + [ + 1441, + 8619 + ], + [ + 3332, + 8527 + ], + [ + 2712, + 6567 + ], + [ + 3018, + 10057 + ], + [ + 2961, + 9523 + ], + [ + 3049, + 5206 + ], + [ + 2708, + 9077 + ], + [ + 7157, + 7636 + ], + [ + 1131, + 11022 + ], + [ + 8335, + 11055 + ], + [ + 7975, + 10712 + ], + [ + 5281, + 8790 + ], + [ + 7212, + 10726 + ], + [ + 336, + 10000 + ], + [ + 2891, + 9134 + ], + [ + 1703, + 3492 + ], + [ + 1073, + 9512 + ], + [ + 2513, + 2543 + ], + [ + 5956, + 8555 + ], + [ + 1200, + 9287 + ], + [ + 2633, + 7563 + ], + [ + 8111, + 9445 + ], + [ + 1439, + 5139 + ], + [ + 1879, + 11073 + ], + [ + 6435, + 8001 + ], + [ + 3309, + 9832 + ], + [ + 9200, + 10163 + ], + [ + 1251, + 5088 + ], + [ + 2061, + 10555 + ], + [ + 2282, + 9211 + ], + [ + 4245, + 10685 + ], + [ + 8914, + 10708 + ], + [ + 6486, + 7185 + ], + [ + 1531, + 4324 + ], + [ + 1658, + 6351 + ], + [ + 4454, + 7826 + ], + [ + 192, + 5683 + ], + [ + 2093, + 10443 + ], + [ + 6953, + 10034 + ], + [ + 723, + 5319 + ], + [ + 6258, + 8489 + ], + [ + 6340, + 10773 + ], + [ + 8057, + 8808 + ], + [ + 1775, + 3903 + ], + [ + 6624, + 7499 + ], + [ + 2668, + 8092 + ], + [ + 1644, + 8523 + ], + [ + 434, + 5566 + ], + [ + 231, + 10899 + ], + [ + 5628, + 8443 + ], + [ + 5339, + 8340 + ], + [ + 485, + 2121 + ], + [ + 3033, + 10664 + ], + [ + 5428, + 7631 + ], + [ + 5147, + 11553 + ], + [ + 5558, + 6923 + ], + [ + 4054, + 9935 + ], + [ + 4188, + 5963 + ], + [ + 9566, + 11401 + ], + [ + 5524, + 10722 + ], + [ + 7350, + 8700 + ], + [ + 497, + 5514 + ], + [ + 4699, + 10989 + ], + [ + 7135, + 7957 + ], + [ + 6259, + 11292 + ], + [ + 7276, + 7438 + ], + [ + 655, + 3067 + ], + [ + 4220, + 4346 + ], + [ + 2265, + 6897 + ], + [ + 6158, + 7453 + ], + [ + 365, + 3493 + ], + [ + 303, + 2615 + ], + [ + 5807, + 6472 + ], + [ + 1418, + 2302 + ], + [ + 1982, + 4330 + ], + [ + 8680, + 10611 + ], + [ + 1990, + 8355 + ], + [ + 10161, + 11587 + ], + [ + 680, + 8200 + ], + [ + 5582, + 7293 + ], + [ + 1443, + 6681 + ], + [ + 9564, + 10550 + ], + [ + 8325, + 9107 + ], + [ + 726, + 7040 + ], + [ + 9027, + 9564 + ], + [ + 1940, + 4454 + ], + [ + 4651, + 10517 + ], + [ + 6172, + 10892 + ], + [ + 1598, + 11106 + ], + [ + 2990, + 8627 + ], + [ + 2453, + 9176 + ], + [ + 1069, + 10762 + ], + [ + 374, + 3555 + ], + [ + 2712, + 4152 + ], + [ + 1533, + 9176 + ], + [ + 4350, + 5866 + ], + [ + 2116, + 2586 + ], + [ + 2207, + 9120 + ], + [ + 9772, + 10822 + ], + [ + 6752, + 7387 + ], + [ + 8899, + 10668 + ], + [ + 4345, + 8151 + ], + [ + 2297, + 4849 + ], + [ + 8857, + 10442 + ], + [ + 1887, + 6671 + ], + [ + 3349, + 3433 + ], + [ + 7490, + 7501 + ], + [ + 10356, + 10469 + ], + [ + 169, + 1995 + ], + [ + 5345, + 10682 + ], + [ + 2343, + 3689 + ], + [ + 6233, + 11144 + ], + [ + 3998, + 11426 + ], + [ + 4488, + 4645 + ], + [ + 4097, + 4989 + ], + [ + 1748, + 9895 + ], + [ + 8348, + 9225 + ], + [ + 1039, + 5234 + ], + [ + 3408, + 7396 + ], + [ + 4676, + 7325 + ], + [ + 5457, + 7890 + ], + [ + 7162, + 10826 + ], + [ + 937, + 11373 + ], + [ + 1960, + 10717 + ], + [ + 8159, + 9703 + ], + [ + 781, + 10079 + ], + [ + 2250, + 8012 + ], + [ + 3800, + 6873 + ], + [ + 5481, + 9415 + ], + [ + 2619, + 3156 + ], + [ + 284, + 6240 + ], + [ + 6321, + 10560 + ], + [ + 58, + 9869 + ], + [ + 7429, + 9076 + ], + [ + 7023, + 7634 + ], + [ + 2269, + 2777 + ], + [ + 6775, + 7532 + ], + [ + 6529, + 11263 + ], + [ + 1016, + 3156 + ], + [ + 2974, + 4286 + ], + [ + 1081, + 3551 + ], + [ + 3887, + 6468 + ], + [ + 3252, + 5728 + ], + [ + 588, + 10034 + ], + [ + 5490, + 9127 + ], + [ + 3814, + 4677 + ], + [ + 3372, + 4332 + ], + [ + 3853, + 11021 + ], + [ + 5744, + 10175 + ], + [ + 6826, + 7470 + ], + [ + 3618, + 10400 + ], + [ + 2816, + 9712 + ], + [ + 318, + 532 + ], + [ + 2379, + 2541 + ], + [ + 7019, + 10494 + ], + [ + 107, + 10111 + ], + [ + 314, + 1544 + ], + [ + 6332, + 7312 + ], + [ + 4401, + 11011 + ], + [ + 7352, + 10145 + ], + [ + 8410, + 9298 + ], + [ + 1586, + 4598 + ], + [ + 976, + 9742 + ], + [ + 2091, + 9429 + ], + [ + 185, + 2073 + ], + [ + 1062, + 2346 + ], + [ + 509, + 11030 + ], + [ + 869, + 4957 + ], + [ + 8926, + 11285 + ], + [ + 2026, + 7499 + ], + [ + 438, + 5902 + ], + [ + 557, + 898 + ], + [ + 6317, + 8882 + ], + [ + 1400, + 2341 + ], + [ + 428, + 5214 + ], + [ + 8053, + 11131 + ], + [ + 7181, + 11202 + ], + [ + 1900, + 2664 + ], + [ + 8436, + 10869 + ], + [ + 372, + 1118 + ], + [ + 1397, + 8459 + ], + [ + 8776, + 10937 + ], + [ + 8060, + 11521 + ], + [ + 2852, + 10466 + ], + [ + 6400, + 7604 + ], + [ + 796, + 6549 + ], + [ + 2425, + 8901 + ], + [ + 5334, + 7809 + ], + [ + 1796, + 11359 + ], + [ + 7057, + 9042 + ], + [ + 1988, + 11529 + ], + [ + 4521, + 8460 + ], + [ + 1997, + 2223 + ], + [ + 1661, + 8690 + ], + [ + 3725, + 10970 + ], + [ + 6177, + 8471 + ], + [ + 3190, + 7428 + ], + [ + 6700, + 8246 + ], + [ + 6166, + 7558 + ], + [ + 3464, + 9128 + ], + [ + 3904, + 9400 + ], + [ + 6235, + 8826 + ], + [ + 3701, + 9071 + ], + [ + 5982, + 9134 + ], + [ + 6264, + 8066 + ], + [ + 230, + 1011 + ], + [ + 6358, + 11111 + ], + [ + 1874, + 10087 + ], + [ + 3330, + 3651 + ], + [ + 2239, + 4358 + ], + [ + 2082, + 10790 + ], + [ + 8348, + 10998 + ], + [ + 6158, + 10299 + ], + [ + 3795, + 11335 + ], + [ + 1388, + 6437 + ], + [ + 467, + 9999 + ], + [ + 5653, + 8851 + ], + [ + 1047, + 6144 + ], + [ + 278, + 678 + ], + [ + 2234, + 7397 + ], + [ + 7774, + 10911 + ], + [ + 3073, + 11350 + ], + [ + 9198, + 11353 + ], + [ + 19, + 2669 + ], + [ + 48, + 7571 + ], + [ + 3950, + 5961 + ], + [ + 10450, + 11503 + ], + [ + 3722, + 6511 + ], + [ + 2192, + 10554 + ], + [ + 8083, + 9387 + ], + [ + 5127, + 9909 + ], + [ + 2856, + 4118 + ], + [ + 5495, + 7861 + ], + [ + 2749, + 9913 + ], + [ + 942, + 8952 + ], + [ + 3569, + 9652 + ], + [ + 847, + 5682 + ], + [ + 1316, + 10856 + ], + [ + 2522, + 3491 + ], + [ + 1617, + 5334 + ], + [ + 4390, + 5105 + ], + [ + 971, + 4405 + ], + [ + 4552, + 9570 + ], + [ + 4633, + 8246 + ], + [ + 2298, + 11330 + ], + [ + 556, + 11518 + ], + [ + 4293, + 10807 + ], + [ + 7937, + 8407 + ], + [ + 5530, + 9925 + ], + [ + 1682, + 6079 + ], + [ + 1455, + 6854 + ], + [ + 3667, + 4868 + ], + [ + 7490, + 10347 + ], + [ + 1741, + 6659 + ], + [ + 5003, + 9627 + ], + [ + 1261, + 2824 + ], + [ + 5379, + 5942 + ], + [ + 3809, + 10586 + ], + [ + 507, + 8219 + ], + [ + 7616, + 9116 + ], + [ + 5770, + 8981 + ], + [ + 8249, + 9059 + ], + [ + 8376, + 10332 + ], + [ + 3097, + 9791 + ], + [ + 2715, + 8743 + ], + [ + 1724, + 5150 + ], + [ + 2428, + 3051 + ], + [ + 9977, + 10636 + ], + [ + 1010, + 5807 + ], + [ + 4394, + 8206 + ], + [ + 8776, + 11205 + ], + [ + 6453, + 9388 + ], + [ + 1837, + 2583 + ], + [ + 1055, + 8209 + ], + [ + 6815, + 9777 + ], + [ + 7153, + 9772 + ], + [ + 4197, + 10294 + ], + [ + 1561, + 3816 + ], + [ + 5853, + 8053 + ], + [ + 8678, + 11020 + ], + [ + 712, + 2558 + ], + [ + 3757, + 6989 + ], + [ + 3413, + 7179 + ], + [ + 8865, + 10846 + ], + [ + 5537, + 9510 + ], + [ + 679, + 9965 + ], + [ + 4099, + 7857 + ], + [ + 166, + 3738 + ], + [ + 50, + 6007 + ], + [ + 4460, + 4638 + ], + [ + 2290, + 10233 + ], + [ + 1251, + 4714 + ], + [ + 7756, + 11354 + ], + [ + 1663, + 7102 + ], + [ + 3373, + 10382 + ], + [ + 4586, + 10604 + ], + [ + 9347, + 10216 + ], + [ + 1007, + 7737 + ], + [ + 7941, + 10353 + ], + [ + 7512, + 7961 + ], + [ + 3778, + 5183 + ], + [ + 6383, + 10096 + ], + [ + 8690, + 11380 + ], + [ + 339, + 2353 + ], + [ + 1849, + 9709 + ], + [ + 1627, + 4412 + ], + [ + 3641, + 8103 + ], + [ + 2146, + 2533 + ], + [ + 8221, + 9589 + ], + [ + 3415, + 6070 + ], + [ + 5378, + 7544 + ], + [ + 1618, + 3545 + ], + [ + 680, + 5248 + ], + [ + 6184, + 9105 + ], + [ + 248, + 9755 + ], + [ + 246, + 8928 + ], + [ + 4594, + 6681 + ], + [ + 9117, + 11043 + ], + [ + 2703, + 4521 + ], + [ + 304, + 5900 + ], + [ + 3690, + 11378 + ], + [ + 710, + 926 + ], + [ + 3137, + 4224 + ], + [ + 2194, + 5583 + ], + [ + 5865, + 7258 + ], + [ + 3007, + 4905 + ], + [ + 1232, + 6111 + ], + [ + 6395, + 7423 + ], + [ + 3494, + 7652 + ], + [ + 1725, + 9427 + ], + [ + 4526, + 5584 + ], + [ + 3003, + 4382 + ], + [ + 1038, + 6245 + ], + [ + 7938, + 8496 + ], + [ + 276, + 2697 + ], + [ + 10246, + 11136 + ], + [ + 2108, + 5408 + ], + [ + 7195, + 8388 + ], + [ + 5636, + 10939 + ], + [ + 4098, + 8705 + ], + [ + 5882, + 7962 + ], + [ + 2805, + 10409 + ], + [ + 1432, + 6522 + ], + [ + 7533, + 7629 + ], + [ + 797, + 5028 + ], + [ + 2080, + 6743 + ], + [ + 2606, + 6035 + ], + [ + 6897, + 7418 + ], + [ + 6608, + 7315 + ], + [ + 2265, + 3490 + ], + [ + 5023, + 5235 + ], + [ + 2545, + 5759 + ], + [ + 5210, + 11477 + ], + [ + 7882, + 11196 + ], + [ + 3217, + 11292 + ], + [ + 1111, + 3848 + ], + [ + 8356, + 10298 + ], + [ + 3300, + 10014 + ], + [ + 9571, + 10566 + ], + [ + 1073, + 4495 + ], + [ + 479, + 10172 + ], + [ + 8414, + 10653 + ], + [ + 288, + 778 + ], + [ + 5952, + 6048 + ], + [ + 191, + 7261 + ], + [ + 1182, + 4438 + ], + [ + 4795, + 6135 + ], + [ + 505, + 1944 + ], + [ + 7939, + 11299 + ], + [ + 1181, + 4967 + ], + [ + 8242, + 8856 + ], + [ + 6067, + 9189 + ], + [ + 1836, + 6359 + ], + [ + 1646, + 6235 + ], + [ + 5932, + 6520 + ], + [ + 1587, + 2622 + ], + [ + 8966, + 11516 + ], + [ + 5281, + 6001 + ], + [ + 745, + 8197 + ], + [ + 9040, + 9775 + ], + [ + 2202, + 5369 + ], + [ + 5672, + 9040 + ], + [ + 9135, + 10012 + ], + [ + 2626, + 6636 + ], + [ + 322, + 4869 + ], + [ + 1411, + 9751 + ], + [ + 2192, + 3146 + ], + [ + 827, + 3284 + ], + [ + 5765, + 8450 + ], + [ + 2573, + 6221 + ], + [ + 4304, + 8126 + ], + [ + 1102, + 5209 + ], + [ + 2313, + 5358 + ], + [ + 5616, + 8327 + ], + [ + 626, + 2247 + ], + [ + 3611, + 7381 + ], + [ + 3557, + 10528 + ], + [ + 2499, + 4959 + ], + [ + 3514, + 7448 + ], + [ + 6731, + 11397 + ], + [ + 8438, + 8744 + ], + [ + 2022, + 5559 + ], + [ + 505, + 7555 + ], + [ + 8557, + 9375 + ], + [ + 7595, + 10684 + ], + [ + 2641, + 10677 + ], + [ + 4294, + 11171 + ], + [ + 4382, + 6854 + ], + [ + 1181, + 7545 + ], + [ + 6090, + 7055 + ], + [ + 9636, + 9782 + ], + [ + 8896, + 9972 + ], + [ + 1294, + 10640 + ], + [ + 2345, + 6370 + ], + [ + 3716, + 10184 + ], + [ + 1536, + 3757 + ], + [ + 2064, + 10292 + ], + [ + 3786, + 8671 + ], + [ + 512, + 4188 + ], + [ + 5498, + 6362 + ], + [ + 8887, + 11357 + ], + [ + 195, + 2037 + ], + [ + 1905, + 9481 + ], + [ + 265, + 1278 + ], + [ + 4024, + 11468 + ], + [ + 2157, + 10456 + ], + [ + 6799, + 8656 + ], + [ + 5488, + 9057 + ], + [ + 1716, + 5795 + ], + [ + 5021, + 10345 + ], + [ + 8032, + 9530 + ], + [ + 7107, + 9940 + ], + [ + 1747, + 9245 + ], + [ + 441, + 5826 + ], + [ + 10525, + 11169 + ], + [ + 10585, + 11220 + ], + [ + 4601, + 10698 + ], + [ + 4945, + 10508 + ], + [ + 1378, + 6904 + ], + [ + 7530, + 10982 + ], + [ + 3229, + 6659 + ], + [ + 615, + 11082 + ], + [ + 1119, + 1725 + ], + [ + 2449, + 9702 + ], + [ + 6869, + 9021 + ], + [ + 1870, + 9995 + ], + [ + 2791, + 6433 + ], + [ + 5466, + 6423 + ], + [ + 175, + 10029 + ], + [ + 1706, + 2424 + ], + [ + 3225, + 6890 + ], + [ + 8510, + 11383 + ], + [ + 4938, + 7435 + ], + [ + 9255, + 9285 + ], + [ + 5559, + 9997 + ], + [ + 4776, + 8605 + ], + [ + 2569, + 5273 + ], + [ + 6121, + 11198 + ], + [ + 6897, + 11419 + ], + [ + 7772, + 10865 + ], + [ + 7423, + 10711 + ], + [ + 1979, + 6905 + ], + [ + 6743, + 10952 + ], + [ + 2182, + 7264 + ], + [ + 8348, + 10274 + ], + [ + 1557, + 10595 + ], + [ + 587, + 1463 + ], + [ + 1192, + 9908 + ], + [ + 4892, + 10069 + ], + [ + 5286, + 9996 + ], + [ + 1024, + 11263 + ], + [ + 532, + 5139 + ], + [ + 8098, + 9695 + ], + [ + 6350, + 10095 + ], + [ + 2324, + 3533 + ], + [ + 5190, + 6501 + ], + [ + 1394, + 10015 + ], + [ + 592, + 8573 + ], + [ + 10050, + 10256 + ], + [ + 296, + 7299 + ], + [ + 2610, + 3338 + ], + [ + 270, + 6078 + ], + [ + 8419, + 10460 + ], + [ + 4811, + 6855 + ], + [ + 3061, + 6428 + ], + [ + 5683, + 6784 + ], + [ + 1786, + 3076 + ], + [ + 4368, + 6285 + ], + [ + 538, + 3799 + ], + [ + 3865, + 5664 + ], + [ + 3560, + 11444 + ], + [ + 3627, + 6250 + ], + [ + 982, + 11360 + ], + [ + 7642, + 7735 + ], + [ + 2506, + 9000 + ], + [ + 10123, + 10892 + ], + [ + 4299, + 5367 + ], + [ + 2284, + 3703 + ], + [ + 1626, + 5423 + ], + [ + 1184, + 5078 + ], + [ + 2462, + 5695 + ], + [ + 2343, + 4283 + ], + [ + 4698, + 8267 + ], + [ + 3335, + 9232 + ], + [ + 7036, + 9618 + ], + [ + 4018, + 8508 + ], + [ + 4006, + 11157 + ], + [ + 251, + 10508 + ], + [ + 4508, + 5891 + ], + [ + 5294, + 6800 + ], + [ + 6438, + 11389 + ], + [ + 1899, + 10658 + ], + [ + 4315, + 6250 + ], + [ + 3542, + 9710 + ], + [ + 6682, + 7585 + ], + [ + 2081, + 3724 + ], + [ + 5224, + 5280 + ], + [ + 1769, + 8333 + ], + [ + 1757, + 6818 + ], + [ + 5531, + 9372 + ], + [ + 455, + 10688 + ], + [ + 5806, + 11297 + ], + [ + 256, + 4062 + ], + [ + 1317, + 6896 + ], + [ + 1530, + 7943 + ], + [ + 3338, + 5342 + ], + [ + 4487, + 10275 + ], + [ + 5385, + 5763 + ], + [ + 7466, + 10676 + ], + [ + 403, + 10124 + ], + [ + 6530, + 6790 + ], + [ + 4291, + 10336 + ], + [ + 10330, + 10565 + ], + [ + 7467, + 7868 + ], + [ + 192, + 9123 + ], + [ + 1086, + 6367 + ], + [ + 1668, + 3339 + ], + [ + 2051, + 9493 + ], + [ + 4544, + 6995 + ], + [ + 3445, + 7841 + ], + [ + 1180, + 10166 + ], + [ + 8210, + 8326 + ], + [ + 6925, + 10702 + ], + [ + 2754, + 7923 + ], + [ + 4682, + 10342 + ], + [ + 5308, + 9084 + ], + [ + 5567, + 10476 + ], + [ + 5379, + 11179 + ], + [ + 3103, + 5044 + ], + [ + 761, + 11121 + ], + [ + 2631, + 5988 + ], + [ + 602, + 6146 + ], + [ + 5896, + 6221 + ], + [ + 230, + 4288 + ], + [ + 6449, + 8090 + ], + [ + 10094, + 10796 + ], + [ + 9898, + 10884 + ], + [ + 6756, + 8018 + ], + [ + 1020, + 5346 + ], + [ + 502, + 3663 + ], + [ + 1334, + 6445 + ], + [ + 717, + 11172 + ], + [ + 7243, + 11519 + ], + [ + 4036, + 8258 + ], + [ + 4624, + 8428 + ], + [ + 711, + 10603 + ], + [ + 5974, + 11365 + ], + [ + 6786, + 7079 + ], + [ + 5320, + 6411 + ], + [ + 4881, + 9747 + ], + [ + 2285, + 8360 + ], + [ + 6185, + 11585 + ], + [ + 5647, + 8526 + ], + [ + 2883, + 9218 + ], + [ + 2970, + 5430 + ], + [ + 1755, + 8545 + ], + [ + 5870, + 7228 + ], + [ + 3038, + 3844 + ], + [ + 6207, + 10785 + ], + [ + 4126, + 4337 + ], + [ + 41, + 6994 + ], + [ + 6080, + 7977 + ], + [ + 787, + 8504 + ], + [ + 2838, + 5661 + ], + [ + 8880, + 10325 + ], + [ + 7445, + 11222 + ], + [ + 8873, + 9154 + ], + [ + 340, + 11198 + ], + [ + 5534, + 6905 + ], + [ + 1802, + 7960 + ], + [ + 4262, + 9486 + ], + [ + 5038, + 9707 + ], + [ + 1583, + 8596 + ], + [ + 9048, + 10848 + ], + [ + 2515, + 7078 + ], + [ + 4471, + 7381 + ], + [ + 1893, + 10707 + ], + [ + 685, + 4413 + ], + [ + 6024, + 9923 + ], + [ + 4195, + 5231 + ], + [ + 5967, + 9389 + ], + [ + 4260, + 6380 + ], + [ + 20, + 11378 + ], + [ + 6524, + 7994 + ], + [ + 4636, + 8357 + ], + [ + 1238, + 6282 + ], + [ + 6083, + 10503 + ], + [ + 6556, + 6751 + ], + [ + 7241, + 10237 + ], + [ + 71, + 11316 + ], + [ + 3617, + 7627 + ], + [ + 4651, + 6386 + ], + [ + 4238, + 10189 + ], + [ + 3035, + 8403 + ], + [ + 255, + 1045 + ], + [ + 1786, + 6272 + ], + [ + 4126, + 9948 + ], + [ + 1126, + 7165 + ], + [ + 2466, + 9414 + ], + [ + 1831, + 8674 + ], + [ + 3737, + 9614 + ], + [ + 2961, + 2977 + ], + [ + 2049, + 3649 + ], + [ + 3852, + 7120 + ], + [ + 4048, + 4780 + ], + [ + 7279, + 8435 + ], + [ + 2083, + 2479 + ], + [ + 2833, + 7895 + ], + [ + 2695, + 7961 + ], + [ + 3457, + 4312 + ], + [ + 1738, + 9614 + ], + [ + 5685, + 6269 + ], + [ + 10459, + 11004 + ], + [ + 122, + 5215 + ], + [ + 5781, + 6731 + ], + [ + 4576, + 10534 + ], + [ + 1739, + 6052 + ], + [ + 1147, + 1976 + ], + [ + 4409, + 4944 + ], + [ + 5284, + 9308 + ], + [ + 8854, + 10177 + ], + [ + 4502, + 11524 + ], + [ + 5247, + 9426 + ], + [ + 4218, + 5349 + ], + [ + 11, + 7077 + ], + [ + 1667, + 11252 + ], + [ + 7083, + 8092 + ], + [ + 512, + 8002 + ], + [ + 2901, + 11570 + ], + [ + 10678, + 10711 + ], + [ + 4482, + 9744 + ], + [ + 6131, + 8584 + ], + [ + 7368, + 7702 + ], + [ + 5506, + 7034 + ], + [ + 4456, + 7742 + ], + [ + 6414, + 8872 + ], + [ + 318, + 939 + ], + [ + 4485, + 6982 + ], + [ + 366, + 10055 + ], + [ + 1744, + 2208 + ], + [ + 7812, + 8093 + ], + [ + 176, + 3515 + ], + [ + 4200, + 6998 + ], + [ + 2832, + 9871 + ], + [ + 6533, + 7251 + ], + [ + 1495, + 4887 + ], + [ + 7185, + 11378 + ], + [ + 577, + 2361 + ], + [ + 364, + 4697 + ], + [ + 8982, + 10870 + ], + [ + 2072, + 4898 + ], + [ + 945, + 3696 + ], + [ + 3661, + 3687 + ], + [ + 4626, + 6059 + ], + [ + 2625, + 8265 + ], + [ + 3812, + 9518 + ], + [ + 6587, + 10870 + ], + [ + 8161, + 8627 + ], + [ + 5425, + 6449 + ], + [ + 8627, + 9366 + ], + [ + 413, + 3054 + ], + [ + 1008, + 11565 + ], + [ + 7675, + 11363 + ], + [ + 1382, + 6299 + ], + [ + 506, + 7382 + ], + [ + 2032, + 8101 + ], + [ + 5953, + 9951 + ], + [ + 4487, + 9283 + ], + [ + 4645, + 10623 + ], + [ + 2083, + 10318 + ], + [ + 3676, + 10761 + ], + [ + 4359, + 10037 + ], + [ + 3079, + 6341 + ], + [ + 1957, + 5483 + ], + [ + 2984, + 9487 + ], + [ + 6968, + 9407 + ], + [ + 1209, + 10693 + ], + [ + 6503, + 11522 + ], + [ + 6086, + 11419 + ], + [ + 1855, + 8589 + ], + [ + 3446, + 8205 + ], + [ + 3475, + 8943 + ], + [ + 7805, + 9500 + ], + [ + 9357, + 9942 + ], + [ + 7110, + 8709 + ], + [ + 5711, + 9263 + ], + [ + 2108, + 6002 + ], + [ + 8102, + 9494 + ], + [ + 2283, + 4313 + ], + [ + 6835, + 10167 + ], + [ + 5245, + 6989 + ], + [ + 849, + 5812 + ], + [ + 2463, + 2968 + ], + [ + 4214, + 6249 + ], + [ + 2001, + 2348 + ], + [ + 1660, + 8471 + ], + [ + 6510, + 7374 + ], + [ + 10159, + 10980 + ], + [ + 6177, + 11106 + ], + [ + 6110, + 9884 + ], + [ + 2376, + 7106 + ], + [ + 1182, + 4682 + ], + [ + 443, + 7726 + ], + [ + 1742, + 9220 + ], + [ + 2924, + 7877 + ], + [ + 5513, + 8847 + ], + [ + 5224, + 8744 + ], + [ + 626, + 10062 + ], + [ + 1989, + 7599 + ], + [ + 5072, + 8350 + ], + [ + 1738, + 3816 + ], + [ + 9048, + 10661 + ], + [ + 7611, + 8479 + ], + [ + 5632, + 7226 + ], + [ + 2075, + 5838 + ], + [ + 3448, + 4063 + ], + [ + 3662, + 7964 + ], + [ + 6864, + 10881 + ], + [ + 3932, + 9545 + ], + [ + 1796, + 9806 + ], + [ + 1788, + 3529 + ], + [ + 4798, + 5495 + ], + [ + 2962, + 3796 + ], + [ + 785, + 9718 + ], + [ + 2965, + 3313 + ], + [ + 979, + 10715 + ], + [ + 9881, + 10985 + ], + [ + 9339, + 10436 + ], + [ + 3864, + 5065 + ], + [ + 6283, + 7344 + ], + [ + 1224, + 10519 + ], + [ + 1436, + 1542 + ], + [ + 6666, + 10492 + ], + [ + 38, + 5704 + ], + [ + 3209, + 7056 + ], + [ + 2394, + 11044 + ], + [ + 2263, + 7363 + ], + [ + 6502, + 8556 + ], + [ + 4297, + 10932 + ], + [ + 858, + 1686 + ], + [ + 954, + 8564 + ], + [ + 4572, + 6441 + ], + [ + 1511, + 9421 + ], + [ + 955, + 11418 + ], + [ + 666, + 4899 + ], + [ + 3121, + 6835 + ], + [ + 3628, + 8329 + ], + [ + 4130, + 9479 + ], + [ + 4990, + 7893 + ], + [ + 1920, + 11511 + ], + [ + 4059, + 4351 + ], + [ + 2314, + 4268 + ], + [ + 3157, + 5711 + ], + [ + 939, + 9380 + ], + [ + 5108, + 9834 + ], + [ + 2592, + 9874 + ], + [ + 10472, + 10648 + ], + [ + 8631, + 10857 + ], + [ + 384, + 8569 + ], + [ + 7748, + 10015 + ], + [ + 7, + 6367 + ], + [ + 6297, + 11133 + ], + [ + 2892, + 7133 + ], + [ + 3024, + 3088 + ], + [ + 2580, + 5326 + ], + [ + 501, + 6121 + ], + [ + 3106, + 4618 + ], + [ + 5141, + 8412 + ], + [ + 1490, + 7389 + ], + [ + 6728, + 10538 + ], + [ + 9118, + 11325 + ], + [ + 3664, + 6831 + ], + [ + 5935, + 6206 + ], + [ + 8579, + 10293 + ], + [ + 2884, + 3458 + ], + [ + 4850, + 8613 + ], + [ + 2508, + 10526 + ], + [ + 1331, + 9961 + ], + [ + 1417, + 2565 + ], + [ + 574, + 1122 + ], + [ + 6404, + 8347 + ], + [ + 8706, + 9287 + ], + [ + 5621, + 6955 + ], + [ + 6247, + 9861 + ], + [ + 8513, + 8892 + ], + [ + 452, + 3576 + ], + [ + 6639, + 6709 + ], + [ + 2783, + 9418 + ], + [ + 2571, + 11225 + ], + [ + 3927, + 7591 + ], + [ + 8018, + 8132 + ], + [ + 2758, + 11051 + ], + [ + 1344, + 6409 + ], + [ + 4515, + 7761 + ], + [ + 1029, + 5085 + ], + [ + 10003, + 11085 + ], + [ + 1784, + 10845 + ], + [ + 6071, + 10574 + ], + [ + 8099, + 10191 + ], + [ + 1998, + 2668 + ], + [ + 9432, + 11269 + ], + [ + 6906, + 11375 + ], + [ + 29, + 2877 + ], + [ + 4803, + 7612 + ], + [ + 1455, + 4146 + ], + [ + 4080, + 11189 + ], + [ + 2117, + 3299 + ], + [ + 1681, + 10316 + ], + [ + 5848, + 9189 + ], + [ + 5626, + 10308 + ], + [ + 10853, + 11413 + ], + [ + 8119, + 8564 + ], + [ + 2257, + 2555 + ], + [ + 6470, + 8943 + ], + [ + 1210, + 7698 + ], + [ + 9823, + 11275 + ], + [ + 8928, + 9642 + ], + [ + 3918, + 7074 + ], + [ + 8181, + 8661 + ], + [ + 304, + 11568 + ], + [ + 182, + 4223 + ], + [ + 273, + 3587 + ], + [ + 5780, + 6961 + ], + [ + 6766, + 8712 + ], + [ + 3562, + 4968 + ], + [ + 482, + 7144 + ], + [ + 4747, + 9558 + ], + [ + 4064, + 10282 + ], + [ + 9265, + 10166 + ], + [ + 6423, + 7592 + ], + [ + 2035, + 10440 + ], + [ + 7396, + 8327 + ], + [ + 7332, + 10786 + ], + [ + 2782, + 9142 + ], + [ + 2001, + 2161 + ], + [ + 4707, + 9378 + ], + [ + 2899, + 3311 + ], + [ + 1063, + 3864 + ], + [ + 1164, + 3916 + ], + [ + 4889, + 8860 + ], + [ + 2380, + 10825 + ], + [ + 3803, + 8413 + ], + [ + 902, + 8642 + ], + [ + 4494, + 5298 + ], + [ + 5261, + 7685 + ], + [ + 409, + 2293 + ], + [ + 7007, + 10622 + ], + [ + 1900, + 10373 + ], + [ + 2982, + 7668 + ], + [ + 900, + 8946 + ], + [ + 1084, + 5091 + ], + [ + 4953, + 6751 + ], + [ + 53, + 3597 + ], + [ + 3814, + 8198 + ], + [ + 4352, + 11257 + ], + [ + 390, + 738 + ], + [ + 8142, + 8682 + ], + [ + 993, + 1940 + ], + [ + 9076, + 9489 + ], + [ + 4938, + 9102 + ], + [ + 5834, + 9425 + ], + [ + 757, + 5635 + ], + [ + 5488, + 6536 + ], + [ + 4940, + 9148 + ], + [ + 3216, + 9942 + ], + [ + 3971, + 9286 + ], + [ + 4645, + 8476 + ], + [ + 882, + 7212 + ], + [ + 3375, + 5468 + ], + [ + 572, + 2068 + ], + [ + 694, + 1499 + ], + [ + 2022, + 2233 + ], + [ + 4769, + 9451 + ], + [ + 72, + 5128 + ], + [ + 8318, + 10197 + ], + [ + 529, + 8787 + ], + [ + 746, + 908 + ], + [ + 3638, + 9261 + ], + [ + 3674, + 4754 + ], + [ + 85, + 5363 + ], + [ + 4489, + 10565 + ], + [ + 2622, + 3137 + ], + [ + 7597, + 10814 + ], + [ + 5190, + 8168 + ], + [ + 4849, + 7875 + ], + [ + 5935, + 6824 + ], + [ + 3295, + 11524 + ], + [ + 1676, + 8362 + ], + [ + 7330, + 8780 + ], + [ + 2952, + 8152 + ], + [ + 2740, + 10713 + ], + [ + 1539, + 11282 + ], + [ + 985, + 3526 + ], + [ + 4997, + 5494 + ], + [ + 2256, + 7136 + ], + [ + 6676, + 7209 + ], + [ + 7118, + 7554 + ], + [ + 6548, + 7963 + ], + [ + 1634, + 5103 + ], + [ + 1332, + 10400 + ], + [ + 3433, + 6920 + ], + [ + 267, + 4414 + ], + [ + 547, + 6683 + ], + [ + 3092, + 4375 + ], + [ + 9189, + 9500 + ], + [ + 6608, + 9145 + ], + [ + 4485, + 6258 + ], + [ + 758, + 4651 + ], + [ + 1773, + 7140 + ], + [ + 5855, + 9847 + ], + [ + 1748, + 8773 + ], + [ + 4549, + 11346 + ], + [ + 7375, + 10751 + ], + [ + 7036, + 11285 + ], + [ + 8247, + 10680 + ], + [ + 4973, + 6197 + ], + [ + 8713, + 9921 + ], + [ + 270, + 3557 + ], + [ + 2664, + 7469 + ], + [ + 8512, + 8884 + ], + [ + 7674, + 7785 + ], + [ + 9355, + 10327 + ], + [ + 6063, + 10900 + ], + [ + 4384, + 9185 + ], + [ + 3534, + 4319 + ], + [ + 1359, + 5406 + ], + [ + 3224, + 5591 + ], + [ + 309, + 6114 + ], + [ + 9201, + 9860 + ], + [ + 890, + 5867 + ], + [ + 4341, + 9488 + ], + [ + 1817, + 5503 + ], + [ + 2131, + 11520 + ], + [ + 574, + 4318 + ], + [ + 3621, + 6166 + ], + [ + 2843, + 2866 + ], + [ + 1874, + 3004 + ], + [ + 4083, + 7917 + ], + [ + 3248, + 10499 + ], + [ + 910, + 3486 + ], + [ + 9342, + 11189 + ], + [ + 2778, + 5854 + ], + [ + 4522, + 7964 + ], + [ + 4763, + 11059 + ], + [ + 105, + 8162 + ], + [ + 5785, + 7549 + ], + [ + 4174, + 10664 + ], + [ + 1347, + 7624 + ], + [ + 5674, + 10916 + ], + [ + 1056, + 6694 + ], + [ + 3461, + 8513 + ], + [ + 4920, + 8010 + ], + [ + 806, + 5765 + ], + [ + 7404, + 8432 + ], + [ + 532, + 5196 + ], + [ + 1805, + 5469 + ], + [ + 1988, + 10057 + ], + [ + 670, + 10041 + ], + [ + 10165, + 10825 + ], + [ + 2083, + 10294 + ], + [ + 767, + 6941 + ], + [ + 7546, + 7734 + ], + [ + 1672, + 2846 + ], + [ + 4091, + 10787 + ], + [ + 3468, + 5146 + ], + [ + 2387, + 11459 + ], + [ + 6273, + 10090 + ], + [ + 2065, + 2548 + ], + [ + 5903, + 9059 + ], + [ + 1972, + 6521 + ], + [ + 887, + 8174 + ], + [ + 5543, + 10244 + ], + [ + 4434, + 8093 + ], + [ + 5363, + 8556 + ], + [ + 3207, + 3277 + ], + [ + 1620, + 10950 + ], + [ + 218, + 5571 + ], + [ + 8039, + 11400 + ], + [ + 720, + 6721 + ], + [ + 9529, + 10210 + ], + [ + 935, + 4431 + ], + [ + 3147, + 6609 + ], + [ + 7011, + 7925 + ], + [ + 5292, + 6811 + ], + [ + 8401, + 9537 + ], + [ + 1861, + 4596 + ], + [ + 10171, + 10616 + ], + [ + 5415, + 11348 + ], + [ + 6435, + 7765 + ], + [ + 8608, + 10015 + ], + [ + 4229, + 6533 + ], + [ + 1238, + 2338 + ], + [ + 1420, + 3318 + ], + [ + 2263, + 4761 + ], + [ + 7149, + 9737 + ], + [ + 5750, + 11045 + ], + [ + 9693, + 10210 + ], + [ + 5429, + 11404 + ], + [ + 4206, + 8242 + ], + [ + 850, + 4858 + ], + [ + 9569, + 9585 + ], + [ + 6396, + 11570 + ], + [ + 7501, + 10569 + ], + [ + 508, + 10756 + ], + [ + 3218, + 7549 + ], + [ + 917, + 9463 + ], + [ + 5384, + 8628 + ], + [ + 8909, + 10478 + ], + [ + 1502, + 5952 + ], + [ + 122, + 4304 + ], + [ + 2680, + 9371 + ], + [ + 311, + 7209 + ], + [ + 1219, + 9801 + ], + [ + 3485, + 8078 + ], + [ + 2019, + 7410 + ], + [ + 2117, + 4535 + ], + [ + 8068, + 9081 + ], + [ + 5719, + 8325 + ], + [ + 5667, + 8135 + ], + [ + 3571, + 7071 + ], + [ + 997, + 1471 + ], + [ + 3729, + 7657 + ], + [ + 2367, + 11476 + ], + [ + 2856, + 8257 + ], + [ + 4602, + 4778 + ], + [ + 2893, + 10768 + ], + [ + 1324, + 9221 + ], + [ + 3478, + 7257 + ], + [ + 8860, + 10185 + ], + [ + 1692, + 11337 + ], + [ + 1198, + 4386 + ], + [ + 3130, + 3541 + ], + [ + 327, + 5059 + ], + [ + 2870, + 9094 + ], + [ + 4005, + 10157 + ], + [ + 3286, + 4054 + ], + [ + 1637, + 10849 + ], + [ + 698, + 3282 + ], + [ + 3184, + 3777 + ], + [ + 2946, + 11533 + ], + [ + 7361, + 10508 + ], + [ + 7294, + 9286 + ], + [ + 7664, + 8065 + ], + [ + 7386, + 11504 + ], + [ + 1913, + 3550 + ], + [ + 2322, + 7919 + ], + [ + 3874, + 8361 + ], + [ + 5274, + 10661 + ], + [ + 5976, + 7735 + ], + [ + 5456, + 9389 + ], + [ + 6040, + 6407 + ], + [ + 2086, + 8581 + ], + [ + 1489, + 4161 + ], + [ + 3882, + 10881 + ], + [ + 153, + 2785 + ], + [ + 1233, + 9833 + ], + [ + 2141, + 5255 + ], + [ + 7336, + 10986 + ], + [ + 5898, + 5950 + ], + [ + 366, + 6461 + ], + [ + 2389, + 8740 + ], + [ + 6401, + 9954 + ], + [ + 4586, + 9132 + ], + [ + 7424, + 10052 + ], + [ + 2694, + 5589 + ], + [ + 3124, + 11589 + ], + [ + 8380, + 8928 + ], + [ + 3123, + 11364 + ], + [ + 793, + 9130 + ], + [ + 230, + 9956 + ], + [ + 6665, + 10939 + ], + [ + 7262, + 8943 + ], + [ + 688, + 4418 + ], + [ + 605, + 9079 + ], + [ + 5015, + 7710 + ], + [ + 6725, + 8738 + ], + [ + 1338, + 6220 + ], + [ + 5955, + 6053 + ], + [ + 1802, + 4634 + ], + [ + 1366, + 7487 + ], + [ + 2799, + 3511 + ], + [ + 1739, + 3531 + ], + [ + 1372, + 8433 + ], + [ + 1437, + 3166 + ], + [ + 2954, + 3799 + ], + [ + 989, + 8668 + ], + [ + 4631, + 4687 + ], + [ + 1399, + 10229 + ], + [ + 895, + 6000 + ], + [ + 9761, + 10023 + ], + [ + 112, + 4608 + ], + [ + 1679, + 6082 + ], + [ + 2952, + 6355 + ], + [ + 2503, + 9003 + ], + [ + 9703, + 10018 + ], + [ + 1726, + 9311 + ], + [ + 4184, + 10010 + ], + [ + 5061, + 11037 + ], + [ + 10, + 1298 + ], + [ + 5486, + 9523 + ], + [ + 5362, + 7767 + ], + [ + 10116, + 10372 + ], + [ + 5210, + 8127 + ], + [ + 5361, + 7542 + ], + [ + 1505, + 3835 + ], + [ + 4180, + 10241 + ], + [ + 4300, + 8091 + ], + [ + 1344, + 2197 + ], + [ + 57, + 3746 + ], + [ + 554, + 10968 + ], + [ + 2801, + 5785 + ], + [ + 6034, + 10267 + ], + [ + 3947, + 9666 + ], + [ + 4360, + 5863 + ], + [ + 3603, + 9856 + ], + [ + 2330, + 3167 + ], + [ + 2204, + 3994 + ], + [ + 6817, + 7872 + ], + [ + 6345, + 8816 + ], + [ + 6344, + 10843 + ], + [ + 2485, + 3455 + ], + [ + 2442, + 6791 + ], + [ + 6242, + 10566 + ], + [ + 4406, + 11119 + ], + [ + 366, + 4851 + ], + [ + 3752, + 10329 + ], + [ + 7114, + 11249 + ], + [ + 8755, + 9474 + ], + [ + 6549, + 8996 + ], + [ + 5993, + 6829 + ], + [ + 1881, + 5411 + ], + [ + 5463, + 7795 + ], + [ + 2013, + 7782 + ], + [ + 790, + 3866 + ], + [ + 2125, + 8023 + ], + [ + 392, + 3039 + ], + [ + 2905, + 8363 + ], + [ + 1133, + 4205 + ], + [ + 4209, + 10955 + ], + [ + 8071, + 9946 + ], + [ + 6393, + 11085 + ], + [ + 2310, + 3989 + ], + [ + 216, + 3752 + ], + [ + 2650, + 4811 + ], + [ + 2113, + 6858 + ], + [ + 3582, + 11207 + ], + [ + 1117, + 2921 + ], + [ + 3792, + 8573 + ], + [ + 2990, + 7131 + ], + [ + 3267, + 9883 + ], + [ + 7398, + 9099 + ], + [ + 3175, + 10294 + ], + [ + 656, + 7407 + ], + [ + 3947, + 8861 + ], + [ + 4061, + 4267 + ], + [ + 5913, + 7600 + ], + [ + 3162, + 9308 + ], + [ + 6584, + 10279 + ], + [ + 3346, + 5453 + ], + [ + 737, + 9466 + ], + [ + 4469, + 5001 + ], + [ + 3820, + 10971 + ], + [ + 6560, + 9104 + ], + [ + 736, + 9995 + ], + [ + 5309, + 9556 + ], + [ + 4970, + 5926 + ], + [ + 3150, + 4760 + ], + [ + 6489, + 10392 + ], + [ + 1544, + 8219 + ], + [ + 4097, + 6526 + ], + [ + 3968, + 7836 + ], + [ + 8419, + 8720 + ], + [ + 5864, + 8088 + ], + [ + 2435, + 8198 + ], + [ + 8226, + 9079 + ], + [ + 2004, + 9143 + ], + [ + 9493, + 9537 + ], + [ + 6571, + 8889 + ], + [ + 5050, + 8514 + ], + [ + 4704, + 7877 + ], + [ + 4917, + 8924 + ], + [ + 4636, + 8682 + ], + [ + 3985, + 11573 + ], + [ + 960, + 10046 + ], + [ + 2072, + 3800 + ], + [ + 462, + 9769 + ], + [ + 1243, + 10334 + ], + [ + 3796, + 8641 + ], + [ + 1060, + 10627 + ], + [ + 4040, + 9001 + ], + [ + 5647, + 8396 + ], + [ + 5223, + 6348 + ], + [ + 2069, + 6131 + ], + [ + 981, + 11273 + ], + [ + 8336, + 9193 + ], + [ + 4304, + 9232 + ], + [ + 1666, + 8343 + ], + [ + 451, + 11458 + ], + [ + 379, + 9892 + ], + [ + 10556, + 11262 + ], + [ + 3469, + 6152 + ], + [ + 1015, + 7070 + ], + [ + 9064, + 9373 + ], + [ + 4361, + 6733 + ], + [ + 534, + 10180 + ], + [ + 1177, + 4395 + ], + [ + 678, + 6926 + ], + [ + 1870, + 8523 + ], + [ + 366, + 5119 + ], + [ + 8025, + 10620 + ], + [ + 681, + 9826 + ], + [ + 5882, + 7458 + ], + [ + 423, + 3374 + ], + [ + 6090, + 8161 + ], + [ + 3232, + 5808 + ], + [ + 2702, + 9026 + ], + [ + 9299, + 11468 + ], + [ + 8950, + 11314 + ], + [ + 3819, + 5753 + ], + [ + 444, + 10263 + ], + [ + 2624, + 10274 + ], + [ + 5989, + 10711 + ], + [ + 1980, + 6008 + ], + [ + 7768, + 9624 + ], + [ + 4704, + 5917 + ], + [ + 1569, + 4222 + ], + [ + 3193, + 6230 + ], + [ + 4774, + 5158 + ], + [ + 5142, + 9526 + ], + [ + 1009, + 9483 + ], + [ + 384, + 3015 + ], + [ + 6669, + 7437 + ], + [ + 287, + 9498 + ], + [ + 3995, + 4639 + ], + [ + 4234, + 6907 + ], + [ + 230, + 2548 + ], + [ + 3986, + 6805 + ], + [ + 1985, + 2595 + ], + [ + 4205, + 11050 + ], + [ + 1657, + 7425 + ], + [ + 6568, + 6981 + ], + [ + 1480, + 4530 + ], + [ + 9673, + 9965 + ], + [ + 1087, + 8211 + ], + [ + 1390, + 1604 + ], + [ + 2415, + 8945 + ], + [ + 1957, + 7313 + ], + [ + 1671, + 6727 + ], + [ + 2442, + 6604 + ], + [ + 1795, + 2821 + ], + [ + 1456, + 3355 + ], + [ + 3567, + 11143 + ], + [ + 5936, + 6889 + ], + [ + 3448, + 9731 + ], + [ + 5617, + 10327 + ], + [ + 5082, + 7539 + ], + [ + 49, + 3267 + ], + [ + 11163, + 11377 + ], + [ + 6619, + 10302 + ], + [ + 4365, + 5646 + ], + [ + 7348, + 9199 + ], + [ + 720, + 8575 + ], + [ + 9381, + 9914 + ], + [ + 389, + 8970 + ], + [ + 4044, + 6005 + ], + [ + 1757, + 6851 + ], + [ + 692, + 6527 + ], + [ + 3982, + 5127 + ], + [ + 3400, + 5903 + ], + [ + 4917, + 9542 + ], + [ + 5698, + 10107 + ], + [ + 1894, + 2426 + ], + [ + 1348, + 5111 + ], + [ + 3583, + 4829 + ], + [ + 5097, + 8197 + ], + [ + 1807, + 3181 + ], + [ + 6251, + 7058 + ], + [ + 738, + 6121 + ], + [ + 9304, + 9852 + ], + [ + 1142, + 3730 + ], + [ + 553, + 9751 + ], + [ + 2514, + 10398 + ], + [ + 1831, + 11122 + ], + [ + 4037, + 5184 + ], + [ + 1179, + 6995 + ], + [ + 2509, + 10054 + ], + [ + 7020, + 9491 + ], + [ + 7431, + 8271 + ], + [ + 1667, + 9967 + ], + [ + 2571, + 7899 + ], + [ + 2320, + 4116 + ], + [ + 291, + 11444 + ], + [ + 3035, + 6313 + ], + [ + 3468, + 9578 + ], + [ + 6556, + 11427 + ], + [ + 1534, + 7344 + ], + [ + 9572, + 10956 + ], + [ + 4555, + 7217 + ], + [ + 2406, + 3109 + ], + [ + 2287, + 5861 + ], + [ + 3345, + 4260 + ], + [ + 4150, + 9383 + ], + [ + 657, + 9700 + ], + [ + 6739, + 7347 + ], + [ + 6541, + 7362 + ], + [ + 7191, + 10662 + ], + [ + 6915, + 8512 + ], + [ + 2584, + 8484 + ], + [ + 4953, + 10646 + ], + [ + 3308, + 8515 + ], + [ + 1770, + 5527 + ], + [ + 2150, + 5748 + ], + [ + 1611, + 11132 + ], + [ + 718, + 3910 + ], + [ + 10950, + 11403 + ], + [ + 2431, + 10871 + ], + [ + 3548, + 4969 + ], + [ + 991, + 9172 + ], + [ + 3575, + 9044 + ], + [ + 3642, + 11020 + ], + [ + 3105, + 10815 + ], + [ + 6226, + 8640 + ], + [ + 705, + 2924 + ], + [ + 7119, + 9446 + ], + [ + 3975, + 9917 + ], + [ + 3569, + 9229 + ], + [ + 1992, + 11174 + ], + [ + 7395, + 7809 + ], + [ + 6276, + 11386 + ], + [ + 4029, + 10153 + ], + [ + 5876, + 7480 + ], + [ + 7335, + 11141 + ], + [ + 6265, + 10473 + ], + [ + 3619, + 5559 + ], + [ + 9229, + 9812 + ], + [ + 2846, + 3357 + ], + [ + 263, + 8591 + ], + [ + 3372, + 9065 + ], + [ + 2815, + 6673 + ], + [ + 3429, + 8818 + ], + [ + 103, + 7555 + ], + [ + 1319, + 8048 + ], + [ + 6083, + 11341 + ], + [ + 7439, + 7707 + ], + [ + 5047, + 10257 + ], + [ + 2435, + 10589 + ], + [ + 4517, + 7059 + ], + [ + 3488, + 7146 + ], + [ + 2610, + 8900 + ], + [ + 10465, + 11307 + ], + [ + 59, + 10639 + ], + [ + 3478, + 4923 + ], + [ + 2932, + 8362 + ], + [ + 582, + 3998 + ], + [ + 6497, + 8887 + ], + [ + 3197, + 9599 + ], + [ + 5005, + 6998 + ], + [ + 2975, + 4302 + ], + [ + 6190, + 11588 + ], + [ + 5806, + 8215 + ], + [ + 831, + 10337 + ], + [ + 9102, + 10767 + ], + [ + 2128, + 8752 + ], + [ + 1692, + 9353 + ], + [ + 5026, + 8225 + ], + [ + 2218, + 4481 + ], + [ + 1380, + 1884 + ], + [ + 4375, + 6952 + ], + [ + 2288, + 3722 + ], + [ + 3781, + 6213 + ], + [ + 668, + 9003 + ], + [ + 6858, + 7149 + ], + [ + 1335, + 1360 + ], + [ + 4054, + 11448 + ], + [ + 2607, + 8578 + ], + [ + 4611, + 5889 + ], + [ + 6347, + 8138 + ], + [ + 4263, + 8589 + ], + [ + 6809, + 9889 + ], + [ + 3380, + 7747 + ], + [ + 8309, + 9387 + ], + [ + 1590, + 8645 + ], + [ + 3825, + 8363 + ], + [ + 184, + 2366 + ], + [ + 6309, + 8785 + ], + [ + 5777, + 8924 + ], + [ + 5128, + 10730 + ], + [ + 6439, + 8077 + ], + [ + 7743, + 9915 + ], + [ + 1669, + 10631 + ], + [ + 1638, + 2650 + ], + [ + 1101, + 4697 + ], + [ + 2045, + 6192 + ], + [ + 2778, + 3333 + ], + [ + 3533, + 4929 + ], + [ + 5145, + 11084 + ], + [ + 6148, + 8278 + ], + [ + 4307, + 7733 + ], + [ + 4644, + 7126 + ], + [ + 7856, + 8479 + ], + [ + 4776, + 6491 + ], + [ + 6921, + 7447 + ], + [ + 4555, + 11218 + ], + [ + 1415, + 2763 + ], + [ + 1584, + 4292 + ], + [ + 563, + 10656 + ], + [ + 4820, + 6039 + ], + [ + 2123, + 7953 + ], + [ + 1495, + 4220 + ], + [ + 5044, + 11382 + ], + [ + 555, + 2844 + ], + [ + 10585, + 11334 + ], + [ + 8780, + 11200 + ], + [ + 2801, + 11022 + ], + [ + 10884, + 11401 + ], + [ + 5541, + 8401 + ], + [ + 460, + 9373 + ], + [ + 832, + 2563 + ], + [ + 4321, + 4756 + ], + [ + 5092, + 11049 + ], + [ + 2180, + 11089 + ], + [ + 8832, + 10609 + ], + [ + 2144, + 2764 + ], + [ + 1767, + 2814 + ], + [ + 6371, + 8858 + ], + [ + 6159, + 10665 + ], + [ + 7300, + 11573 + ], + [ + 10352, + 11513 + ], + [ + 7236, + 7616 + ], + [ + 2289, + 4616 + ], + [ + 5059, + 5624 + ], + [ + 1475, + 6577 + ], + [ + 146, + 2208 + ], + [ + 6491, + 10091 + ], + [ + 755, + 3255 + ], + [ + 9471, + 10717 + ], + [ + 1785, + 10940 + ], + [ + 515, + 7178 + ], + [ + 4173, + 4484 + ], + [ + 10503, + 11278 + ], + [ + 125, + 6242 + ], + [ + 68, + 9872 + ], + [ + 412, + 9682 + ], + [ + 1441, + 3179 + ], + [ + 2394, + 8954 + ], + [ + 6820, + 11471 + ], + [ + 7340, + 7565 + ], + [ + 1643, + 10483 + ], + [ + 153, + 5257 + ], + [ + 4979, + 9428 + ], + [ + 2804, + 4099 + ], + [ + 8939, + 11206 + ], + [ + 2671, + 10925 + ], + [ + 2795, + 6265 + ], + [ + 8090, + 9948 + ], + [ + 1481, + 8620 + ], + [ + 2921, + 8067 + ], + [ + 9017, + 9584 + ], + [ + 3550, + 11244 + ], + [ + 3607, + 5362 + ], + [ + 1117, + 11541 + ], + [ + 5305, + 11291 + ], + [ + 4852, + 10003 + ], + [ + 8770, + 8926 + ], + [ + 5318, + 9244 + ], + [ + 1607, + 4006 + ], + [ + 6154, + 9516 + ], + [ + 1269, + 8148 + ], + [ + 321, + 1993 + ], + [ + 8695, + 9691 + ], + [ + 1190, + 8040 + ], + [ + 4032, + 10614 + ], + [ + 5209, + 11179 + ], + [ + 1348, + 2964 + ], + [ + 1098, + 9205 + ], + [ + 1246, + 9103 + ], + [ + 7727, + 10431 + ], + [ + 406, + 11341 + ], + [ + 3959, + 4659 + ], + [ + 4179, + 6877 + ], + [ + 378, + 10047 + ], + [ + 1563, + 8221 + ], + [ + 1489, + 5828 + ], + [ + 365, + 8307 + ], + [ + 1676, + 5654 + ], + [ + 2266, + 2487 + ], + [ + 4786, + 11234 + ], + [ + 5758, + 8361 + ], + [ + 1272, + 10674 + ], + [ + 5004, + 10373 + ], + [ + 6931, + 11436 + ], + [ + 675, + 6254 + ], + [ + 1239, + 1866 + ], + [ + 4043, + 10372 + ], + [ + 5411, + 8253 + ], + [ + 2880, + 7261 + ], + [ + 7236, + 9039 + ], + [ + 8956, + 10755 + ], + [ + 5802, + 11292 + ], + [ + 1053, + 2615 + ], + [ + 2689, + 6912 + ], + [ + 5151, + 10019 + ], + [ + 9328, + 9580 + ], + [ + 3905, + 7405 + ], + [ + 5618, + 5698 + ], + [ + 857, + 6086 + ], + [ + 3179, + 7678 + ], + [ + 1441, + 4602 + ], + [ + 8072, + 9661 + ], + [ + 4961, + 6862 + ], + [ + 1568, + 4377 + ], + [ + 3175, + 10188 + ], + [ + 8042, + 10950 + ], + [ + 4675, + 10440 + ], + [ + 9750, + 11151 + ], + [ + 2920, + 3253 + ], + [ + 9505, + 11320 + ], + [ + 4987, + 8460 + ], + [ + 5453, + 9953 + ], + [ + 5854, + 11051 + ], + [ + 27, + 10890 + ], + [ + 868, + 11506 + ], + [ + 2520, + 2730 + ], + [ + 5006, + 6231 + ], + [ + 56, + 3714 + ], + [ + 1890, + 8750 + ], + [ + 3197, + 8607 + ], + [ + 7056, + 9579 + ], + [ + 1361, + 2744 + ], + [ + 5003, + 5179 + ], + [ + 7466, + 11140 + ], + [ + 16, + 9950 + ], + [ + 5036, + 10954 + ], + [ + 3990, + 9182 + ], + [ + 227, + 7918 + ], + [ + 3367, + 3541 + ], + [ + 8674, + 10237 + ], + [ + 168, + 4305 + ], + [ + 6986, + 10688 + ], + [ + 3184, + 3834 + ], + [ + 668, + 11044 + ], + [ + 7645, + 10324 + ], + [ + 6643, + 8070 + ], + [ + 2428, + 5019 + ], + [ + 2310, + 6461 + ], + [ + 166, + 6861 + ], + [ + 1059, + 7667 + ], + [ + 622, + 7666 + ], + [ + 8311, + 8872 + ], + [ + 10141, + 10756 + ], + [ + 4086, + 9240 + ], + [ + 3205, + 11477 + ], + [ + 5173, + 6879 + ], + [ + 7773, + 11448 + ], + [ + 5792, + 8614 + ], + [ + 2456, + 3253 + ], + [ + 5757, + 10313 + ], + [ + 1296, + 3823 + ], + [ + 7966, + 8056 + ], + [ + 1736, + 4095 + ], + [ + 1708, + 8463 + ], + [ + 1152, + 10460 + ], + [ + 2422, + 7806 + ], + [ + 111, + 9032 + ], + [ + 4469, + 7473 + ], + [ + 2180, + 10902 + ], + [ + 2423, + 8408 + ], + [ + 274, + 4300 + ], + [ + 4120, + 9948 + ], + [ + 8022, + 8338 + ], + [ + 6305, + 10303 + ], + [ + 2698, + 9552 + ], + [ + 6764, + 8373 + ], + [ + 2528, + 4445 + ], + [ + 6791, + 10196 + ], + [ + 356, + 2797 + ], + [ + 7458, + 9693 + ], + [ + 5144, + 7238 + ], + [ + 4710, + 10918 + ], + [ + 1231, + 2997 + ], + [ + 3562, + 8839 + ], + [ + 3245, + 6688 + ], + [ + 1374, + 1770 + ], + [ + 4049, + 11586 + ], + [ + 190, + 4198 + ], + [ + 7130, + 10012 + ], + [ + 3706, + 8968 + ], + [ + 530, + 856 + ], + [ + 2026, + 9280 + ], + [ + 4734, + 9410 + ], + [ + 5078, + 9220 + ], + [ + 10109, + 10413 + ], + [ + 1902, + 5272 + ], + [ + 527, + 10384 + ], + [ + 2397, + 5251 + ], + [ + 11082, + 11148 + ], + [ + 7935, + 7938 + ], + [ + 1798, + 4168 + ], + [ + 32, + 9624 + ], + [ + 2329, + 10220 + ], + [ + 1266, + 4307 + ], + [ + 5309, + 7840 + ], + [ + 1363, + 7623 + ], + [ + 544, + 5076 + ], + [ + 4186, + 7511 + ], + [ + 2228, + 7135 + ], + [ + 8394, + 9391 + ], + [ + 242, + 3957 + ], + [ + 8602, + 10094 + ], + [ + 102, + 7360 + ], + [ + 2942, + 9107 + ], + [ + 3408, + 10600 + ], + [ + 5679, + 9975 + ], + [ + 4342, + 4991 + ], + [ + 794, + 7853 + ], + [ + 5238, + 9478 + ], + [ + 5176, + 8600 + ], + [ + 1064, + 3018 + ], + [ + 7204, + 11223 + ], + [ + 5544, + 7306 + ], + [ + 1590, + 8726 + ], + [ + 2500, + 4975 + ], + [ + 10865, + 11456 + ], + [ + 4275, + 7152 + ], + [ + 4609, + 6274 + ], + [ + 194, + 883 + ], + [ + 5799, + 11208 + ], + [ + 8930, + 8997 + ], + [ + 432, + 9342 + ], + [ + 4384, + 7095 + ], + [ + 10770, + 11569 + ], + [ + 5099, + 9292 + ], + [ + 3793, + 10037 + ], + [ + 2982, + 7351 + ], + [ + 2041, + 3121 + ], + [ + 463, + 1458 + ], + [ + 3847, + 10273 + ], + [ + 6221, + 6363 + ], + [ + 3222, + 10221 + ], + [ + 4316, + 9031 + ], + [ + 9701, + 11476 + ], + [ + 6210, + 8456 + ], + [ + 3758, + 4539 + ], + [ + 4558, + 8564 + ], + [ + 4598, + 11346 + ], + [ + 5457, + 6906 + ], + [ + 1169, + 9958 + ], + [ + 2778, + 3764 + ], + [ + 5437, + 8883 + ], + [ + 8759, + 10404 + ], + [ + 951, + 4780 + ], + [ + 6734, + 8052 + ], + [ + 2274, + 11586 + ], + [ + 5209, + 10187 + ], + [ + 658, + 7941 + ], + [ + 4198, + 10099 + ], + [ + 3119, + 6659 + ], + [ + 490, + 2880 + ], + [ + 1994, + 3251 + ], + [ + 1923, + 4539 + ], + [ + 5291, + 8657 + ], + [ + 6960, + 8930 + ], + [ + 2345, + 2727 + ], + [ + 7958, + 11415 + ], + [ + 7607, + 10434 + ], + [ + 5926, + 7892 + ], + [ + 2944, + 7193 + ], + [ + 6989, + 11553 + ], + [ + 5554, + 6034 + ], + [ + 6387, + 6789 + ], + [ + 209, + 6371 + ], + [ + 6020, + 8658 + ], + [ + 2534, + 5982 + ], + [ + 2748, + 3467 + ], + [ + 1492, + 10745 + ], + [ + 6297, + 10629 + ], + [ + 1340, + 6941 + ], + [ + 1185, + 9282 + ], + [ + 5665, + 7154 + ], + [ + 6625, + 9182 + ], + [ + 651, + 2932 + ], + [ + 6588, + 9300 + ], + [ + 1486, + 2979 + ], + [ + 2297, + 5638 + ], + [ + 5504, + 8899 + ], + [ + 896, + 9529 + ], + [ + 6457, + 7504 + ], + [ + 235, + 7568 + ], + [ + 2692, + 6167 + ], + [ + 3975, + 7128 + ], + [ + 5523, + 10080 + ], + [ + 7758, + 9044 + ], + [ + 1968, + 3103 + ], + [ + 350, + 11463 + ], + [ + 1338, + 2707 + ], + [ + 3063, + 11183 + ], + [ + 1256, + 10222 + ], + [ + 1932, + 6829 + ], + [ + 2687, + 5419 + ], + [ + 10550, + 10750 + ], + [ + 218, + 6059 + ], + [ + 819, + 7188 + ], + [ + 4196, + 8416 + ], + [ + 8955, + 11365 + ], + [ + 2981, + 11531 + ], + [ + 744, + 8734 + ], + [ + 6212, + 6518 + ], + [ + 2540, + 8001 + ], + [ + 4929, + 11569 + ], + [ + 1049, + 9720 + ], + [ + 75, + 5350 + ], + [ + 3908, + 11517 + ], + [ + 166, + 4714 + ], + [ + 4935, + 9105 + ], + [ + 1855, + 11281 + ], + [ + 3720, + 5804 + ], + [ + 6987, + 9116 + ], + [ + 2374, + 9402 + ], + [ + 1063, + 6393 + ], + [ + 3843, + 7335 + ], + [ + 4022, + 5388 + ], + [ + 1437, + 8297 + ], + [ + 7357, + 11278 + ], + [ + 129, + 8215 + ], + [ + 3152, + 9669 + ], + [ + 2242, + 7004 + ], + [ + 497, + 505 + ], + [ + 3167, + 3561 + ], + [ + 11544, + 11557 + ], + [ + 215, + 11372 + ], + [ + 709, + 1327 + ], + [ + 4170, + 6390 + ], + [ + 4875, + 7145 + ], + [ + 1428, + 4397 + ], + [ + 3193, + 5132 + ], + [ + 7957, + 8425 + ], + [ + 705, + 1558 + ], + [ + 1360, + 2950 + ], + [ + 3218, + 6882 + ], + [ + 6798, + 8439 + ], + [ + 2634, + 6831 + ], + [ + 4874, + 6893 + ], + [ + 1424, + 3874 + ], + [ + 5837, + 6186 + ], + [ + 5742, + 9332 + ], + [ + 10281, + 10817 + ], + [ + 3249, + 5414 + ], + [ + 7848, + 10360 + ], + [ + 6795, + 8141 + ], + [ + 6081, + 6546 + ], + [ + 7765, + 8605 + ], + [ + 971, + 9032 + ], + [ + 4926, + 10466 + ], + [ + 8348, + 11437 + ], + [ + 2617, + 8355 + ], + [ + 4611, + 4978 + ], + [ + 3427, + 7406 + ], + [ + 9533, + 9611 + ], + [ + 5797, + 10170 + ], + [ + 7574, + 9010 + ], + [ + 2825, + 6025 + ], + [ + 1467, + 6580 + ], + [ + 10737, + 11218 + ], + [ + 723, + 5116 + ], + [ + 1580, + 4013 + ], + [ + 4169, + 8393 + ], + [ + 6743, + 7577 + ], + [ + 5773, + 7490 + ], + [ + 8486, + 10216 + ], + [ + 78, + 655 + ], + [ + 425, + 10562 + ], + [ + 1079, + 9854 + ], + [ + 6209, + 10272 + ], + [ + 1133, + 9336 + ], + [ + 1974, + 3536 + ], + [ + 6213, + 11145 + ], + [ + 7789, + 9729 + ], + [ + 134, + 7353 + ], + [ + 1440, + 3602 + ], + [ + 7288, + 11433 + ], + [ + 662, + 6718 + ], + [ + 1851, + 2382 + ], + [ + 3850, + 5765 + ], + [ + 2074, + 11287 + ], + [ + 7752, + 9847 + ], + [ + 8101, + 10001 + ], + [ + 128, + 6784 + ], + [ + 3588, + 8239 + ], + [ + 1444, + 10891 + ], + [ + 1874, + 9721 + ], + [ + 11183, + 11281 + ], + [ + 3086, + 6308 + ], + [ + 1467, + 2392 + ], + [ + 5207, + 8368 + ], + [ + 997, + 6415 + ], + [ + 4574, + 8455 + ], + [ + 680, + 4264 + ], + [ + 1614, + 5071 + ], + [ + 2799, + 3999 + ], + [ + 436, + 11451 + ], + [ + 1869, + 9727 + ], + [ + 33, + 10280 + ], + [ + 933, + 5841 + ], + [ + 7495, + 8097 + ], + [ + 4076, + 7397 + ], + [ + 3140, + 3511 + ], + [ + 984, + 8058 + ], + [ + 2207, + 3306 + ], + [ + 4158, + 8927 + ], + [ + 8027, + 11341 + ], + [ + 1547, + 10615 + ], + [ + 8886, + 10284 + ], + [ + 5770, + 6387 + ], + [ + 10599, + 10829 + ], + [ + 2572, + 10759 + ], + [ + 541, + 7838 + ], + [ + 6052, + 6450 + ], + [ + 536, + 1078 + ], + [ + 4579, + 4611 + ], + [ + 8, + 10758 + ], + [ + 2718, + 7551 + ], + [ + 3523, + 5504 + ], + [ + 5327, + 6167 + ], + [ + 8599, + 9823 + ], + [ + 1609, + 3922 + ], + [ + 1896, + 3198 + ], + [ + 719, + 7551 + ], + [ + 5380, + 9211 + ], + [ + 6996, + 7194 + ], + [ + 2525, + 10539 + ], + [ + 486, + 10009 + ], + [ + 3471, + 7973 + ], + [ + 8278, + 8684 + ], + [ + 5540, + 10597 + ], + [ + 1297, + 6252 + ], + [ + 1923, + 9158 + ], + [ + 806, + 8644 + ], + [ + 5710, + 8564 + ], + [ + 1978, + 2449 + ], + [ + 4182, + 7018 + ], + [ + 4839, + 5073 + ], + [ + 3789, + 4283 + ], + [ + 9472, + 9603 + ], + [ + 143, + 3604 + ], + [ + 9568, + 10065 + ], + [ + 6886, + 8123 + ], + [ + 10184, + 11502 + ], + [ + 4890, + 5011 + ], + [ + 1825, + 8219 + ], + [ + 9442, + 10111 + ], + [ + 2553, + 5016 + ], + [ + 2521, + 5478 + ], + [ + 2438, + 3723 + ], + [ + 4914, + 6536 + ], + [ + 1894, + 9517 + ], + [ + 6723, + 6789 + ], + [ + 439, + 5975 + ], + [ + 1776, + 2291 + ], + [ + 4354, + 8010 + ], + [ + 3366, + 10350 + ], + [ + 2976, + 3025 + ], + [ + 3072, + 9903 + ], + [ + 7402, + 10460 + ], + [ + 1428, + 10626 + ], + [ + 2424, + 5895 + ], + [ + 361, + 7223 + ], + [ + 4041, + 6732 + ], + [ + 3817, + 7778 + ], + [ + 4868, + 9170 + ], + [ + 1943, + 9005 + ], + [ + 3125, + 9914 + ], + [ + 3840, + 5695 + ], + [ + 6774, + 7077 + ], + [ + 3035, + 10371 + ], + [ + 4145, + 9714 + ], + [ + 10342, + 11283 + ], + [ + 323, + 11253 + ], + [ + 2162, + 10971 + ], + [ + 2903, + 7973 + ], + [ + 3591, + 5341 + ], + [ + 6108, + 8155 + ], + [ + 7775, + 8355 + ], + [ + 9333, + 11241 + ], + [ + 5262, + 6414 + ], + [ + 7836, + 9008 + ], + [ + 3770, + 4525 + ], + [ + 6851, + 8613 + ], + [ + 5163, + 9818 + ], + [ + 870, + 5356 + ], + [ + 1080, + 2722 + ], + [ + 61, + 9913 + ], + [ + 140, + 7762 + ], + [ + 308, + 9790 + ], + [ + 3563, + 9335 + ], + [ + 6279, + 9326 + ], + [ + 3497, + 4551 + ], + [ + 859, + 10832 + ], + [ + 2972, + 8867 + ], + [ + 352, + 2922 + ], + [ + 3720, + 7040 + ], + [ + 2758, + 7595 + ], + [ + 1512, + 11397 + ], + [ + 6200, + 9972 + ], + [ + 2427, + 8020 + ], + [ + 1563, + 5700 + ], + [ + 14, + 9693 + ], + [ + 325, + 7111 + ], + [ + 4122, + 7205 + ], + [ + 468, + 3255 + ], + [ + 2589, + 5315 + ], + [ + 5357, + 5496 + ], + [ + 601, + 6228 + ], + [ + 6473, + 8037 + ], + [ + 5270, + 6251 + ], + [ + 3357, + 4140 + ], + [ + 1239, + 5761 + ], + [ + 1399, + 3764 + ], + [ + 5199, + 7539 + ], + [ + 861, + 9750 + ], + [ + 1916, + 2189 + ], + [ + 804, + 6183 + ], + [ + 1263, + 10669 + ], + [ + 886, + 2051 + ], + [ + 3680, + 9869 + ], + [ + 540, + 1414 + ], + [ + 706, + 9031 + ], + [ + 257, + 10925 + ], + [ + 1193, + 9149 + ], + [ + 3997, + 4823 + ], + [ + 3436, + 6476 + ], + [ + 7818, + 9475 + ], + [ + 5985, + 11457 + ], + [ + 5923, + 10579 + ], + [ + 1069, + 10022 + ], + [ + 1, + 3765 + ], + [ + 3658, + 7986 + ], + [ + 5977, + 10061 + ], + [ + 194, + 1127 + ], + [ + 6857, + 10605 + ], + [ + 2055, + 4576 + ], + [ + 6874, + 7576 + ], + [ + 1144, + 1686 + ], + [ + 2916, + 10008 + ], + [ + 2142, + 9833 + ], + [ + 5634, + 10045 + ], + [ + 9545, + 11207 + ], + [ + 113, + 4329 + ], + [ + 2977, + 10634 + ], + [ + 23, + 5567 + ], + [ + 1136, + 10843 + ], + [ + 5996, + 7428 + ], + [ + 2233, + 6918 + ], + [ + 3219, + 3751 + ], + [ + 7274, + 8799 + ], + [ + 2009, + 7210 + ], + [ + 1381, + 7641 + ], + [ + 3437, + 5142 + ], + [ + 1947, + 4080 + ], + [ + 323, + 2072 + ], + [ + 2624, + 3541 + ], + [ + 3897, + 10230 + ], + [ + 5304, + 9537 + ], + [ + 8069, + 10201 + ], + [ + 10522, + 10556 + ], + [ + 3211, + 6492 + ], + [ + 6292, + 10580 + ], + [ + 4356, + 7519 + ], + [ + 3385, + 10994 + ], + [ + 1986, + 11548 + ], + [ + 2120, + 8330 + ], + [ + 2976, + 9254 + ], + [ + 1962, + 10373 + ], + [ + 178, + 11116 + ], + [ + 1045, + 10701 + ], + [ + 7024, + 7469 + ], + [ + 6499, + 8779 + ], + [ + 2672, + 5810 + ], + [ + 5275, + 7644 + ], + [ + 2503, + 10727 + ], + [ + 9201, + 10592 + ], + [ + 261, + 9838 + ], + [ + 5094, + 5354 + ], + [ + 9701, + 10915 + ], + [ + 954, + 1888 + ], + [ + 517, + 1133 + ], + [ + 1325, + 9937 + ], + [ + 7920, + 8923 + ], + [ + 3493, + 8433 + ], + [ + 3436, + 7899 + ], + [ + 7240, + 9164 + ], + [ + 1297, + 8643 + ], + [ + 2875, + 3136 + ], + [ + 20, + 10126 + ], + [ + 3396, + 8500 + ], + [ + 1728, + 4665 + ], + [ + 4718, + 9389 + ], + [ + 107, + 6338 + ], + [ + 2249, + 9275 + ], + [ + 7612, + 7989 + ], + [ + 9069, + 10823 + ], + [ + 561, + 10480 + ], + [ + 1378, + 6538 + ], + [ + 6703, + 8178 + ], + [ + 4177, + 6032 + ], + [ + 6484, + 7316 + ], + [ + 686, + 3012 + ], + [ + 2055, + 5999 + ], + [ + 4011, + 9712 + ], + [ + 5728, + 7747 + ], + [ + 5105, + 8522 + ], + [ + 4611, + 7987 + ], + [ + 2610, + 3777 + ], + [ + 1269, + 2057 + ], + [ + 6444, + 7136 + ], + [ + 66, + 271 + ], + [ + 4233, + 5560 + ], + [ + 279, + 7734 + ], + [ + 7715, + 10746 + ], + [ + 3704, + 5970 + ], + [ + 6780, + 9714 + ], + [ + 3323, + 6278 + ], + [ + 3316, + 5107 + ], + [ + 2545, + 2978 + ], + [ + 3544, + 11350 + ], + [ + 610, + 9941 + ], + [ + 1415, + 7894 + ], + [ + 4154, + 9589 + ], + [ + 7576, + 8308 + ], + [ + 2135, + 8183 + ], + [ + 2212, + 5959 + ], + [ + 4092, + 5678 + ], + [ + 1475, + 9830 + ], + [ + 7440, + 7666 + ], + [ + 1311, + 10173 + ], + [ + 5296, + 8066 + ], + [ + 3183, + 10031 + ], + [ + 977, + 4635 + ], + [ + 1340, + 9413 + ], + [ + 7193, + 11172 + ], + [ + 7850, + 9227 + ], + [ + 2649, + 2927 + ], + [ + 2802, + 6175 + ], + [ + 5701, + 9283 + ], + [ + 195, + 4599 + ], + [ + 6315, + 10674 + ], + [ + 1000, + 9722 + ], + [ + 224, + 3839 + ], + [ + 938, + 2428 + ], + [ + 1645, + 6262 + ], + [ + 2622, + 4487 + ], + [ + 743, + 8376 + ], + [ + 221, + 9203 + ], + [ + 2738, + 5601 + ], + [ + 9241, + 11414 + ], + [ + 6369, + 10129 + ], + [ + 5624, + 9221 + ], + [ + 450, + 7750 + ], + [ + 6466, + 11193 + ], + [ + 2626, + 3855 + ], + [ + 3627, + 5884 + ], + [ + 4745, + 9252 + ], + [ + 1474, + 4286 + ], + [ + 4937, + 9422 + ], + [ + 4782, + 8353 + ], + [ + 8581, + 9274 + ], + [ + 5119, + 11156 + ], + [ + 5807, + 9278 + ], + [ + 1263, + 7449 + ], + [ + 5700, + 10909 + ], + [ + 411, + 1756 + ], + [ + 7444, + 10767 + ], + [ + 568, + 5877 + ], + [ + 6889, + 9956 + ], + [ + 2961, + 6181 + ], + [ + 1464, + 10364 + ], + [ + 5304, + 7122 + ], + [ + 292, + 3727 + ], + [ + 6130, + 6706 + ], + [ + 4234, + 7208 + ], + [ + 3213, + 10566 + ], + [ + 350, + 7869 + ], + [ + 1807, + 10703 + ], + [ + 7502, + 11122 + ], + [ + 2151, + 10513 + ], + [ + 4355, + 8666 + ], + [ + 5969, + 9232 + ], + [ + 499, + 4959 + ], + [ + 4258, + 8733 + ], + [ + 3137, + 8477 + ], + [ + 2636, + 4519 + ], + [ + 1113, + 3317 + ], + [ + 2513, + 5617 + ], + [ + 1458, + 6735 + ], + [ + 5336, + 5505 + ], + [ + 1387, + 8023 + ], + [ + 3839, + 9688 + ], + [ + 5592, + 9632 + ], + [ + 7607, + 11296 + ], + [ + 3469, + 4493 + ], + [ + 1134, + 7577 + ], + [ + 886, + 7475 + ], + [ + 1383, + 8281 + ], + [ + 8167, + 9418 + ], + [ + 10906, + 11113 + ], + [ + 8703, + 9398 + ], + [ + 2934, + 4334 + ], + [ + 10436, + 11349 + ], + [ + 4511, + 5772 + ], + [ + 3146, + 5156 + ], + [ + 2704, + 4811 + ], + [ + 2091, + 6274 + ], + [ + 5453, + 6440 + ], + [ + 3925, + 4894 + ], + [ + 4424, + 6527 + ], + [ + 445, + 10334 + ], + [ + 5317, + 10716 + ], + [ + 4456, + 7913 + ], + [ + 4137, + 9853 + ], + [ + 5467, + 6496 + ], + [ + 3873, + 10746 + ], + [ + 3594, + 11331 + ], + [ + 2477, + 5155 + ], + [ + 5496, + 8365 + ], + [ + 3101, + 4982 + ], + [ + 5706, + 9895 + ], + [ + 6958, + 10045 + ], + [ + 3467, + 7025 + ], + [ + 447, + 5842 + ], + [ + 1572, + 10381 + ], + [ + 9015, + 10400 + ], + [ + 3186, + 6783 + ], + [ + 2935, + 3000 + ], + [ + 9598, + 10226 + ], + [ + 6143, + 9869 + ], + [ + 2812, + 8262 + ], + [ + 4840, + 10131 + ], + [ + 1569, + 9329 + ], + [ + 344, + 5340 + ], + [ + 2374, + 8036 + ], + [ + 4548, + 9730 + ], + [ + 630, + 5145 + ], + [ + 6882, + 7175 + ], + [ + 6252, + 6779 + ], + [ + 5407, + 8673 + ], + [ + 3447, + 10880 + ], + [ + 5653, + 5696 + ], + [ + 6726, + 10045 + ], + [ + 186, + 10766 + ], + [ + 1210, + 4673 + ], + [ + 5630, + 8156 + ], + [ + 8061, + 11196 + ], + [ + 3913, + 5957 + ], + [ + 802, + 3158 + ], + [ + 810, + 7183 + ], + [ + 4189, + 5074 + ], + [ + 3010, + 7846 + ], + [ + 4228, + 8412 + ], + [ + 2784, + 11475 + ], + [ + 4656, + 7169 + ], + [ + 9009, + 9430 + ], + [ + 270, + 6680 + ], + [ + 9069, + 9481 + ], + [ + 6951, + 11102 + ], + [ + 757, + 6798 + ], + [ + 237, + 4288 + ], + [ + 2563, + 9786 + ], + [ + 2501, + 8908 + ], + [ + 6279, + 8952 + ], + [ + 481, + 4648 + ], + [ + 1298, + 7122 + ], + [ + 565, + 3595 + ], + [ + 950, + 3406 + ], + [ + 4186, + 11569 + ], + [ + 7641, + 8516 + ], + [ + 1323, + 8872 + ], + [ + 9263, + 9697 + ], + [ + 7606, + 9461 + ], + [ + 6762, + 8547 + ], + [ + 4525, + 8002 + ], + [ + 530, + 10175 + ], + [ + 912, + 4053 + ], + [ + 2966, + 4891 + ], + [ + 7532, + 10451 + ], + [ + 3697, + 7621 + ], + [ + 725, + 7610 + ], + [ + 2153, + 5542 + ], + [ + 10021, + 11217 + ], + [ + 5237, + 9901 + ], + [ + 1462, + 7122 + ], + [ + 2109, + 4489 + ], + [ + 27, + 5767 + ], + [ + 7279, + 9224 + ], + [ + 1737, + 2631 + ], + [ + 7340, + 10631 + ], + [ + 1855, + 4572 + ], + [ + 4573, + 7642 + ], + [ + 11157, + 11377 + ], + [ + 3001, + 9207 + ], + [ + 105, + 3364 + ], + [ + 3749, + 7380 + ], + [ + 1567, + 11460 + ], + [ + 4965, + 7119 + ], + [ + 1290, + 2292 + ], + [ + 1073, + 3755 + ], + [ + 567, + 5115 + ], + [ + 1780, + 5337 + ], + [ + 6273, + 9830 + ], + [ + 2846, + 2853 + ], + [ + 1095, + 8617 + ], + [ + 5955, + 8208 + ], + [ + 1378, + 4741 + ], + [ + 2400, + 7647 + ], + [ + 11245, + 11547 + ], + [ + 2649, + 8351 + ], + [ + 2809, + 6354 + ], + [ + 2673, + 9499 + ], + [ + 7566, + 8476 + ], + [ + 3273, + 11184 + ], + [ + 1250, + 3243 + ], + [ + 9488, + 9949 + ], + [ + 2673, + 3083 + ], + [ + 2423, + 6318 + ], + [ + 2958, + 3444 + ], + [ + 5998, + 7531 + ], + [ + 6784, + 8440 + ], + [ + 560, + 7677 + ], + [ + 2766, + 6657 + ], + [ + 180, + 1794 + ], + [ + 1054, + 2550 + ], + [ + 7862, + 8245 + ], + [ + 9892, + 10941 + ], + [ + 2382, + 9700 + ], + [ + 4035, + 10194 + ], + [ + 2610, + 5363 + ], + [ + 3256, + 9675 + ], + [ + 1234, + 11004 + ], + [ + 3570, + 4358 + ], + [ + 1719, + 3879 + ], + [ + 4967, + 7141 + ], + [ + 1693, + 9074 + ], + [ + 10338, + 11408 + ], + [ + 4111, + 4712 + ], + [ + 4709, + 5570 + ], + [ + 416, + 1862 + ], + [ + 601, + 7277 + ], + [ + 4670, + 9779 + ], + [ + 2397, + 9577 + ], + [ + 910, + 8032 + ], + [ + 7854, + 11336 + ], + [ + 9060, + 10387 + ], + [ + 2310, + 3916 + ], + [ + 6014, + 7983 + ], + [ + 3177, + 3501 + ], + [ + 402, + 651 + ], + [ + 6685, + 9908 + ], + [ + 615, + 8114 + ], + [ + 4978, + 6899 + ], + [ + 4716, + 8619 + ], + [ + 2794, + 3736 + ], + [ + 9705, + 10310 + ], + [ + 5665, + 11212 + ], + [ + 2109, + 2879 + ], + [ + 10197, + 10772 + ], + [ + 4065, + 7346 + ], + [ + 1701, + 5528 + ], + [ + 866, + 8864 + ], + [ + 4439, + 9250 + ], + [ + 1853, + 8551 + ], + [ + 1478, + 9428 + ], + [ + 394, + 2638 + ], + [ + 2265, + 10939 + ], + [ + 5847, + 9913 + ], + [ + 8206, + 11387 + ], + [ + 5928, + 8589 + ], + [ + 2804, + 10466 + ], + [ + 3585, + 11031 + ], + [ + 4607, + 7521 + ], + [ + 3223, + 9861 + ], + [ + 8916, + 9453 + ], + [ + 850, + 10209 + ], + [ + 3649, + 5539 + ], + [ + 2814, + 8121 + ], + [ + 839, + 5132 + ], + [ + 713, + 6713 + ], + [ + 3421, + 6089 + ], + [ + 4824, + 6408 + ], + [ + 7411, + 9961 + ], + [ + 28, + 9993 + ], + [ + 8237, + 9545 + ], + [ + 7935, + 8426 + ], + [ + 5060, + 7624 + ], + [ + 1245, + 6924 + ], + [ + 3423, + 9518 + ], + [ + 118, + 9886 + ], + [ + 8449, + 10367 + ], + [ + 2600, + 3065 + ], + [ + 363, + 2520 + ], + [ + 12, + 7955 + ], + [ + 6993, + 7354 + ], + [ + 3557, + 11211 + ], + [ + 8018, + 10531 + ], + [ + 2288, + 11057 + ], + [ + 7068, + 8467 + ], + [ + 9848, + 10163 + ], + [ + 192, + 9993 + ], + [ + 4032, + 10915 + ], + [ + 192, + 3577 + ], + [ + 402, + 5107 + ], + [ + 10897, + 11482 + ], + [ + 2525, + 3830 + ], + [ + 2099, + 11535 + ], + [ + 6695, + 7138 + ], + [ + 4931, + 9257 + ], + [ + 5289, + 6521 + ], + [ + 1187, + 5791 + ], + [ + 3365, + 11391 + ], + [ + 1906, + 5478 + ], + [ + 9428, + 9762 + ], + [ + 5016, + 11058 + ], + [ + 1592, + 7008 + ], + [ + 3328, + 5093 + ], + [ + 3013, + 3769 + ], + [ + 1125, + 8296 + ], + [ + 3613, + 5454 + ], + [ + 7594, + 8109 + ], + [ + 7157, + 8108 + ], + [ + 5880, + 10345 + ], + [ + 400, + 11046 + ], + [ + 3752, + 4108 + ], + [ + 2705, + 9251 + ], + [ + 1646, + 6463 + ], + [ + 6749, + 9222 + ], + [ + 703, + 5570 + ], + [ + 54, + 7376 + ], + [ + 1596, + 6376 + ], + [ + 1998, + 3912 + ], + [ + 2531, + 6627 + ], + [ + 3009, + 6629 + ], + [ + 6457, + 6569 + ], + [ + 846, + 4343 + ], + [ + 8044, + 8695 + ], + [ + 4365, + 6378 + ], + [ + 6389, + 10757 + ], + [ + 2153, + 7583 + ], + [ + 9217, + 10989 + ], + [ + 2, + 6812 + ], + [ + 695, + 10940 + ], + [ + 4267, + 8472 + ], + [ + 1378, + 4554 + ], + [ + 13, + 10354 + ], + [ + 5067, + 6835 + ], + [ + 559, + 1253 + ], + [ + 10047, + 11446 + ], + [ + 4489, + 10736 + ], + [ + 714, + 1541 + ], + [ + 1058, + 6269 + ], + [ + 1431, + 10981 + ], + [ + 2851, + 4888 + ], + [ + 2233, + 6007 + ], + [ + 4051, + 10510 + ], + [ + 2794, + 4354 + ], + [ + 9077, + 11359 + ], + [ + 2575, + 2738 + ], + [ + 1494, + 9051 + ], + [ + 393, + 9070 + ], + [ + 8436, + 11528 + ], + [ + 7213, + 7612 + ], + [ + 5589, + 6358 + ], + [ + 11261, + 11489 + ], + [ + 419, + 5006 + ], + [ + 2810, + 4483 + ], + [ + 979, + 9544 + ], + [ + 475, + 8321 + ], + [ + 2257, + 4499 + ], + [ + 607, + 1270 + ], + [ + 610, + 7957 + ], + [ + 980, + 6736 + ], + [ + 2654, + 7353 + ], + [ + 167, + 6633 + ], + [ + 3580, + 7518 + ], + [ + 751, + 3651 + ], + [ + 1807, + 6141 + ], + [ + 8868, + 10030 + ], + [ + 4083, + 5860 + ], + [ + 10495, + 11555 + ], + [ + 1562, + 5556 + ], + [ + 772, + 7911 + ], + [ + 3138, + 4140 + ], + [ + 6346, + 10255 + ], + [ + 2979, + 9745 + ], + [ + 1367, + 2836 + ], + [ + 7502, + 9943 + ], + [ + 1122, + 3005 + ], + [ + 4418, + 11219 + ], + [ + 2608, + 4325 + ], + [ + 3105, + 11547 + ], + [ + 2299, + 6953 + ], + [ + 1490, + 10756 + ], + [ + 6932, + 7319 + ], + [ + 6951, + 11533 + ], + [ + 9053, + 9379 + ], + [ + 10008, + 11063 + ], + [ + 1471, + 5818 + ], + [ + 2162, + 9873 + ], + [ + 426, + 1208 + ], + [ + 3970, + 10655 + ], + [ + 999, + 10145 + ], + [ + 9710, + 10847 + ], + [ + 3459, + 5255 + ], + [ + 1504, + 10812 + ], + [ + 418, + 9611 + ], + [ + 322, + 3487 + ], + [ + 4993, + 10753 + ], + [ + 778, + 1286 + ], + [ + 3995, + 5989 + ], + [ + 3797, + 5250 + ], + [ + 8282, + 9882 + ], + [ + 56, + 2055 + ], + [ + 4830, + 6036 + ], + [ + 9279, + 11011 + ], + [ + 4981, + 6205 + ], + [ + 278, + 9981 + ], + [ + 3053, + 7169 + ], + [ + 2707, + 10696 + ], + [ + 3663, + 11070 + ], + [ + 3047, + 6600 + ], + [ + 3730, + 10794 + ], + [ + 5344, + 7196 + ], + [ + 363, + 5366 + ], + [ + 8148, + 9286 + ], + [ + 3201, + 10450 + ], + [ + 5040, + 10168 + ], + [ + 75, + 2455 + ], + [ + 5028, + 8653 + ], + [ + 4601, + 7088 + ], + [ + 2297, + 5321 + ], + [ + 8609, + 11566 + ], + [ + 4711, + 9885 + ], + [ + 4272, + 6805 + ], + [ + 3703, + 7062 + ], + [ + 1626, + 8684 + ], + [ + 905, + 8924 + ], + [ + 6259, + 9804 + ], + [ + 8988, + 10057 + ], + [ + 2460, + 2467 + ], + [ + 1711, + 10485 + ], + [ + 3727, + 9341 + ], + [ + 2959, + 6729 + ], + [ + 6231, + 11139 + ], + [ + 1801, + 3962 + ], + [ + 1646, + 2893 + ], + [ + 1620, + 8088 + ], + [ + 769, + 6003 + ], + [ + 2636, + 4763 + ], + [ + 1610, + 4367 + ], + [ + 2986, + 8525 + ], + [ + 1670, + 4418 + ], + [ + 2878, + 10712 + ], + [ + 3602, + 4327 + ], + [ + 3908, + 7817 + ], + [ + 1318, + 9628 + ], + [ + 7677, + 10027 + ], + [ + 1418, + 10963 + ], + [ + 110, + 10881 + ], + [ + 6299, + 8425 + ], + [ + 2689, + 3993 + ], + [ + 5481, + 8732 + ], + [ + 405, + 10048 + ], + [ + 6625, + 6905 + ], + [ + 1817, + 7447 + ], + [ + 3026, + 10933 + ], + [ + 7255, + 10684 + ], + [ + 5285, + 8039 + ], + [ + 188, + 2062 + ], + [ + 3393, + 8660 + ], + [ + 272, + 7425 + ], + [ + 67, + 3987 + ], + [ + 7909, + 8441 + ], + [ + 2088, + 9603 + ], + [ + 4848, + 5005 + ], + [ + 517, + 10639 + ], + [ + 3853, + 10338 + ], + [ + 8366, + 9848 + ], + [ + 6341, + 7496 + ], + [ + 6626, + 10109 + ], + [ + 2382, + 2910 + ], + [ + 6803, + 11499 + ], + [ + 3376, + 3768 + ], + [ + 10529, + 10629 + ], + [ + 3442, + 5519 + ], + [ + 8665, + 9134 + ], + [ + 2973, + 5980 + ], + [ + 7789, + 10217 + ], + [ + 3537, + 8008 + ], + [ + 4688, + 7352 + ], + [ + 4187, + 9810 + ], + [ + 322, + 10521 + ], + [ + 5601, + 9564 + ], + [ + 5055, + 5833 + ], + [ + 848, + 3397 + ], + [ + 413, + 6852 + ], + [ + 5752, + 5946 + ], + [ + 492, + 5455 + ], + [ + 2393, + 5297 + ], + [ + 2859, + 10954 + ], + [ + 1529, + 3731 + ], + [ + 3244, + 11519 + ], + [ + 5073, + 9795 + ], + [ + 6005, + 9775 + ], + [ + 2640, + 3676 + ], + [ + 5618, + 6885 + ], + [ + 8496, + 11368 + ], + [ + 593, + 8890 + ], + [ + 4251, + 6196 + ], + [ + 116, + 9490 + ], + [ + 479, + 682 + ], + [ + 9475, + 10413 + ], + [ + 2854, + 4544 + ], + [ + 4027, + 7619 + ], + [ + 1508, + 4732 + ], + [ + 2685, + 5297 + ], + [ + 9849, + 10065 + ], + [ + 1195, + 3481 + ], + [ + 7426, + 11050 + ], + [ + 2810, + 3491 + ], + [ + 5688, + 7974 + ], + [ + 848, + 5625 + ], + [ + 5708, + 9380 + ], + [ + 4607, + 7147 + ], + [ + 598, + 2444 + ], + [ + 8543, + 10783 + ], + [ + 2710, + 9676 + ], + [ + 281, + 1047 + ], + [ + 1471, + 5981 + ], + [ + 316, + 2731 + ], + [ + 1253, + 10225 + ], + [ + 4727, + 11386 + ], + [ + 8464, + 10675 + ], + [ + 10360, + 10927 + ], + [ + 785, + 7905 + ], + [ + 4011, + 8964 + ], + [ + 1580, + 5924 + ], + [ + 336, + 4137 + ], + [ + 8159, + 10793 + ], + [ + 6404, + 10022 + ], + [ + 7971, + 10742 + ], + [ + 891, + 8331 + ], + [ + 4132, + 11176 + ], + [ + 1458, + 10630 + ], + [ + 861, + 9620 + ], + [ + 1894, + 11160 + ], + [ + 3539, + 6875 + ], + [ + 5994, + 8811 + ], + [ + 7702, + 9012 + ], + [ + 9446, + 11122 + ], + [ + 3386, + 10016 + ], + [ + 5588, + 6588 + ], + [ + 2250, + 10980 + ], + [ + 4245, + 8205 + ], + [ + 7200, + 10464 + ], + [ + 8974, + 9033 + ], + [ + 3119, + 4195 + ], + [ + 4560, + 6496 + ], + [ + 8507, + 10321 + ], + [ + 5611, + 8642 + ], + [ + 4556, + 9760 + ], + [ + 6605, + 10254 + ], + [ + 7197, + 7914 + ], + [ + 1904, + 10693 + ], + [ + 3802, + 4602 + ], + [ + 3265, + 6649 + ], + [ + 1680, + 8733 + ], + [ + 1967, + 8009 + ], + [ + 709, + 1628 + ], + [ + 4795, + 5989 + ], + [ + 1104, + 2157 + ], + [ + 5408, + 10161 + ], + [ + 6841, + 8437 + ], + [ + 5872, + 8575 + ], + [ + 3224, + 6998 + ], + [ + 5964, + 11547 + ], + [ + 3717, + 3898 + ], + [ + 1690, + 4883 + ], + [ + 1755, + 3780 + ], + [ + 6333, + 10855 + ], + [ + 1419, + 10247 + ], + [ + 3721, + 11187 + ], + [ + 2568, + 8764 + ], + [ + 6572, + 6707 + ], + [ + 4565, + 9068 + ], + [ + 4802, + 8257 + ], + [ + 3618, + 10685 + ], + [ + 2847, + 11562 + ], + [ + 2186, + 9601 + ], + [ + 4264, + 4417 + ], + [ + 1001, + 1978 + ], + [ + 9834, + 10025 + ], + [ + 7596, + 10009 + ], + [ + 707, + 10576 + ], + [ + 9397, + 10401 + ], + [ + 1771, + 7265 + ], + [ + 2762, + 8606 + ], + [ + 9085, + 9348 + ], + [ + 2854, + 5162 + ], + [ + 11164, + 11182 + ], + [ + 5496, + 8422 + ], + [ + 7703, + 10256 + ], + [ + 970, + 11336 + ], + [ + 1684, + 10679 + ], + [ + 1125, + 2579 + ], + [ + 10744, + 11535 + ], + [ + 2874, + 9197 + ], + [ + 5432, + 7848 + ], + [ + 1194, + 10263 + ], + [ + 7285, + 11436 + ], + [ + 9186, + 11278 + ], + [ + 5705, + 9700 + ], + [ + 3740, + 5147 + ], + [ + 7251, + 8819 + ], + [ + 7624, + 7869 + ], + [ + 1029, + 2467 + ], + [ + 1063, + 8467 + ], + [ + 4889, + 7047 + ], + [ + 6635, + 9984 + ], + [ + 558, + 7019 + ], + [ + 3049, + 10110 + ], + [ + 153, + 2769 + ], + [ + 493, + 5089 + ], + [ + 4008, + 6251 + ], + [ + 3354, + 7713 + ], + [ + 4477, + 11425 + ], + [ + 678, + 8252 + ], + [ + 3443, + 4752 + ], + [ + 521, + 4104 + ], + [ + 445, + 11464 + ], + [ + 5066, + 8787 + ], + [ + 4407, + 7653 + ], + [ + 5828, + 10830 + ], + [ + 5370, + 9198 + ], + [ + 1530, + 6024 + ], + [ + 9716, + 10288 + ], + [ + 168, + 9843 + ], + [ + 1622, + 8996 + ], + [ + 4889, + 5892 + ], + [ + 1907, + 5193 + ], + [ + 6855, + 11047 + ], + [ + 537, + 11403 + ], + [ + 5324, + 5820 + ], + [ + 2037, + 10901 + ], + [ + 4076, + 6543 + ], + [ + 5700, + 8551 + ], + [ + 1775, + 8457 + ], + [ + 9863, + 9934 + ], + [ + 553, + 1733 + ], + [ + 1275, + 11517 + ], + [ + 523, + 10192 + ], + [ + 548, + 11188 + ], + [ + 4980, + 6360 + ], + [ + 54, + 4237 + ], + [ + 6024, + 6581 + ], + [ + 423, + 9961 + ], + [ + 1385, + 2236 + ], + [ + 6093, + 7849 + ], + [ + 2597, + 4485 + ], + [ + 5238, + 9055 + ], + [ + 272, + 9011 + ], + [ + 2693, + 4947 + ], + [ + 6180, + 10477 + ], + [ + 762, + 6394 + ], + [ + 880, + 9833 + ], + [ + 5276, + 9512 + ], + [ + 1666, + 10742 + ], + [ + 4997, + 10097 + ], + [ + 3256, + 7504 + ], + [ + 1571, + 5220 + ], + [ + 7133, + 9055 + ], + [ + 2465, + 9634 + ], + [ + 7785, + 10930 + ], + [ + 2246, + 10270 + ], + [ + 1090, + 4166 + ], + [ + 3702, + 3834 + ], + [ + 3108, + 9511 + ], + [ + 3956, + 4882 + ], + [ + 7357, + 11392 + ], + [ + 10079, + 10474 + ], + [ + 5414, + 11324 + ], + [ + 7996, + 8117 + ], + [ + 8180, + 10678 + ], + [ + 2170, + 8181 + ], + [ + 7868, + 8871 + ], + [ + 249, + 10316 + ], + [ + 9979, + 10243 + ], + [ + 4700, + 8948 + ], + [ + 8554, + 9576 + ], + [ + 2831, + 7109 + ], + [ + 861, + 8628 + ], + [ + 6776, + 7855 + ], + [ + 1118, + 9947 + ], + [ + 7369, + 8369 + ], + [ + 3346, + 6242 + ], + [ + 2220, + 7894 + ], + [ + 647, + 7329 + ], + [ + 4799, + 11586 + ], + [ + 5611, + 7300 + ], + [ + 9253, + 10489 + ], + [ + 791, + 10491 + ], + [ + 2473, + 9471 + ], + [ + 1069, + 5517 + ], + [ + 4338, + 9656 + ], + [ + 3868, + 11427 + ], + [ + 3429, + 10599 + ], + [ + 4330, + 9014 + ], + [ + 2156, + 10703 + ], + [ + 11115, + 11507 + ], + [ + 6036, + 6136 + ], + [ + 2092, + 8998 + ], + [ + 3926, + 8372 + ], + [ + 1490, + 4234 + ], + [ + 4547, + 10934 + ], + [ + 4444, + 7049 + ], + [ + 5383, + 11206 + ], + [ + 11114, + 11282 + ], + [ + 2091, + 9527 + ], + [ + 4885, + 10175 + ], + [ + 1117, + 9321 + ], + [ + 2421, + 11159 + ], + [ + 219, + 1001 + ], + [ + 2426, + 5087 + ], + [ + 3443, + 8403 + ], + [ + 4449, + 10776 + ], + [ + 8525, + 10285 + ], + [ + 5815, + 7830 + ], + [ + 3045, + 5324 + ], + [ + 2819, + 11205 + ], + [ + 1666, + 8782 + ], + [ + 7767, + 10643 + ], + [ + 1893, + 5755 + ], + [ + 399, + 3039 + ], + [ + 3193, + 10857 + ], + [ + 10347, + 10773 + ], + [ + 7735, + 9607 + ], + [ + 5496, + 8235 + ], + [ + 5299, + 11104 + ], + [ + 476, + 10614 + ], + [ + 6695, + 8000 + ], + [ + 8040, + 9839 + ], + [ + 4044, + 5371 + ], + [ + 5160, + 8666 + ], + [ + 11323, + 11405 + ], + [ + 2665, + 7331 + ], + [ + 7721, + 10998 + ], + [ + 9046, + 11461 + ], + [ + 10145, + 10615 + ], + [ + 7903, + 10480 + ], + [ + 8672, + 8776 + ], + [ + 950, + 9342 + ], + [ + 2572, + 4107 + ], + [ + 172, + 380 + ], + [ + 4407, + 10499 + ], + [ + 5004, + 8503 + ], + [ + 6337, + 8827 + ], + [ + 585, + 1458 + ], + [ + 857, + 3866 + ], + [ + 891, + 9112 + ], + [ + 6262, + 6963 + ], + [ + 3252, + 10632 + ], + [ + 1505, + 7470 + ], + [ + 4048, + 11505 + ], + [ + 1754, + 11180 + ], + [ + 3216, + 7942 + ], + [ + 5955, + 8883 + ], + [ + 1091, + 6140 + ], + [ + 7720, + 9618 + ], + [ + 2365, + 9267 + ], + [ + 407, + 2475 + ], + [ + 9096, + 10743 + ], + [ + 3021, + 7851 + ], + [ + 6433, + 8134 + ], + [ + 4077, + 10341 + ], + [ + 2793, + 4991 + ], + [ + 1239, + 8640 + ], + [ + 3732, + 6896 + ], + [ + 5838, + 10176 + ], + [ + 3037, + 5351 + ], + [ + 7747, + 8381 + ], + [ + 2881, + 10473 + ], + [ + 7886, + 10445 + ], + [ + 4618, + 9914 + ], + [ + 3660, + 11342 + ], + [ + 5148, + 9325 + ], + [ + 7319, + 11502 + ], + [ + 8965, + 10825 + ], + [ + 2031, + 5957 + ], + [ + 9715, + 9825 + ], + [ + 3368, + 4525 + ], + [ + 3806, + 8134 + ], + [ + 103, + 6921 + ], + [ + 1656, + 10217 + ], + [ + 680, + 9184 + ], + [ + 3877, + 5341 + ], + [ + 4229, + 9176 + ], + [ + 2286, + 2692 + ], + [ + 1265, + 9056 + ], + [ + 525, + 9246 + ], + [ + 8759, + 9794 + ], + [ + 1283, + 7383 + ], + [ + 8232, + 11031 + ], + [ + 2778, + 6537 + ], + [ + 6294, + 10553 + ], + [ + 1853, + 6193 + ], + [ + 198, + 3374 + ], + [ + 1223, + 5797 + ], + [ + 601, + 10180 + ], + [ + 3620, + 6974 + ], + [ + 340, + 9092 + ], + [ + 966, + 5582 + ], + [ + 754, + 7389 + ], + [ + 6855, + 9250 + ], + [ + 4209, + 4336 + ], + [ + 2371, + 8226 + ], + [ + 1205, + 1434 + ], + [ + 659, + 4119 + ], + [ + 5361, + 6534 + ], + [ + 8064, + 8572 + ], + [ + 5597, + 9285 + ], + [ + 6064, + 7216 + ], + [ + 1016, + 8328 + ], + [ + 3822, + 11245 + ], + [ + 2770, + 8874 + ], + [ + 3254, + 5311 + ], + [ + 239, + 8636 + ], + [ + 3723, + 10485 + ], + [ + 7088, + 8670 + ], + [ + 5195, + 7935 + ], + [ + 5909, + 7278 + ], + [ + 2912, + 4793 + ], + [ + 2606, + 6938 + ], + [ + 2503, + 3807 + ], + [ + 10037, + 10360 + ], + [ + 5995, + 9681 + ], + [ + 3468, + 9562 + ], + [ + 789, + 8672 + ], + [ + 6290, + 6596 + ], + [ + 4710, + 11276 + ], + [ + 2866, + 11214 + ], + [ + 1477, + 6794 + ], + [ + 4058, + 6395 + ], + [ + 2220, + 10285 + ], + [ + 1902, + 5280 + ], + [ + 1279, + 6055 + ], + [ + 620, + 7173 + ], + [ + 7280, + 10718 + ], + [ + 9845, + 10540 + ], + [ + 2808, + 4793 + ], + [ + 4543, + 9069 + ], + [ + 3402, + 8161 + ], + [ + 3612, + 5527 + ], + [ + 8376, + 8820 + ], + [ + 549, + 5428 + ], + [ + 9434, + 11356 + ], + [ + 5568, + 6961 + ], + [ + 3386, + 6877 + ], + [ + 4819, + 11569 + ], + [ + 2846, + 2991 + ], + [ + 3250, + 7016 + ], + [ + 483, + 10443 + ], + [ + 4849, + 6493 + ], + [ + 7294, + 7741 + ], + [ + 4785, + 8952 + ], + [ + 4589, + 4876 + ], + [ + 6245, + 9805 + ], + [ + 2036, + 4290 + ], + [ + 948, + 8678 + ], + [ + 847, + 2210 + ], + [ + 4148, + 8516 + ], + [ + 7159, + 8455 + ], + [ + 6606, + 9969 + ], + [ + 567, + 2570 + ], + [ + 2093, + 8207 + ], + [ + 6416, + 7593 + ], + [ + 2747, + 5964 + ], + [ + 1491, + 8324 + ], + [ + 1307, + 6517 + ], + [ + 1711, + 4126 + ], + [ + 8028, + 10715 + ], + [ + 5170, + 8362 + ], + [ + 614, + 5018 + ], + [ + 6969, + 7927 + ], + [ + 369, + 9351 + ], + [ + 4376, + 6811 + ], + [ + 2633, + 7555 + ], + [ + 9978, + 11203 + ], + [ + 7684, + 10124 + ], + [ + 10529, + 11491 + ], + [ + 5589, + 10416 + ], + [ + 448, + 4167 + ], + [ + 1568, + 4198 + ], + [ + 3475, + 7992 + ], + [ + 3716, + 4671 + ], + [ + 204, + 7190 + ], + [ + 5400, + 6730 + ], + [ + 7943, + 10765 + ], + [ + 11067, + 11517 + ], + [ + 200, + 9700 + ], + [ + 3244, + 5615 + ], + [ + 4718, + 10308 + ], + [ + 8135, + 10935 + ], + [ + 5888, + 9702 + ], + [ + 2187, + 9316 + ], + [ + 4298, + 5026 + ], + [ + 3267, + 9948 + ], + [ + 7219, + 7701 + ], + [ + 1117, + 6369 + ], + [ + 4055, + 4487 + ], + [ + 1677, + 10907 + ], + [ + 331, + 8843 + ], + [ + 4360, + 8506 + ], + [ + 9523, + 9818 + ], + [ + 7840, + 10613 + ], + [ + 8681, + 11229 + ], + [ + 4631, + 6525 + ], + [ + 8607, + 8836 + ], + [ + 4264, + 5011 + ], + [ + 5403, + 9256 + ], + [ + 6437, + 8015 + ], + [ + 9855, + 11496 + ], + [ + 3790, + 9292 + ], + [ + 5844, + 10130 + ], + [ + 8196, + 10433 + ], + [ + 205, + 6610 + ], + [ + 3620, + 9820 + ], + [ + 5769, + 8266 + ], + [ + 1410, + 5436 + ], + [ + 1566, + 5949 + ], + [ + 7481, + 8586 + ], + [ + 6426, + 9704 + ], + [ + 6791, + 8139 + ], + [ + 2954, + 10898 + ], + [ + 3668, + 10241 + ], + [ + 433, + 11348 + ], + [ + 3640, + 8193 + ], + [ + 811, + 1320 + ], + [ + 5893, + 6208 + ], + [ + 3302, + 5165 + ], + [ + 2397, + 2844 + ], + [ + 4816, + 8533 + ], + [ + 4234, + 5899 + ], + [ + 6412, + 8493 + ], + [ + 1801, + 5442 + ], + [ + 221, + 10122 + ], + [ + 92, + 8022 + ], + [ + 3380, + 9959 + ], + [ + 5291, + 11243 + ], + [ + 5093, + 10504 + ], + [ + 6311, + 11070 + ], + [ + 7519, + 7538 + ], + [ + 7302, + 9001 + ], + [ + 1426, + 9702 + ], + [ + 5440, + 8333 + ], + [ + 1455, + 8188 + ], + [ + 2265, + 7239 + ], + [ + 7275, + 9807 + ], + [ + 1417, + 5452 + ], + [ + 4278, + 8076 + ], + [ + 6453, + 10372 + ], + [ + 4870, + 9119 + ], + [ + 641, + 2952 + ], + [ + 4674, + 5043 + ], + [ + 4431, + 8291 + ], + [ + 2726, + 5355 + ], + [ + 3500, + 4749 + ], + [ + 4054, + 6089 + ], + [ + 8813, + 9038 + ], + [ + 3188, + 7106 + ], + [ + 7006, + 8077 + ], + [ + 4298, + 6449 + ], + [ + 2682, + 8466 + ], + [ + 820, + 1382 + ], + [ + 4801, + 10453 + ], + [ + 8543, + 10840 + ], + [ + 1594, + 7192 + ], + [ + 5554, + 8970 + ], + [ + 5038, + 9642 + ], + [ + 1626, + 2943 + ], + [ + 346, + 1499 + ], + [ + 2871, + 8338 + ], + [ + 1928, + 9697 + ], + [ + 2936, + 9487 + ], + [ + 7556, + 8894 + ], + [ + 4354, + 5977 + ], + [ + 9170, + 9433 + ], + [ + 1952, + 4806 + ], + [ + 2072, + 3410 + ], + [ + 5471, + 9093 + ], + [ + 8509, + 10101 + ], + [ + 3163, + 7584 + ], + [ + 3228, + 8733 + ], + [ + 2827, + 8389 + ], + [ + 8641, + 10220 + ], + [ + 7868, + 10270 + ], + [ + 2170, + 3164 + ], + [ + 3226, + 5654 + ], + [ + 5053, + 9519 + ], + [ + 6930, + 9721 + ], + [ + 910, + 2372 + ], + [ + 8110, + 9803 + ], + [ + 1135, + 4934 + ], + [ + 326, + 9491 + ], + [ + 4768, + 10289 + ], + [ + 1469, + 7439 + ], + [ + 4019, + 6229 + ], + [ + 8351, + 9865 + ], + [ + 5457, + 11265 + ], + [ + 2554, + 8415 + ], + [ + 1649, + 6094 + ], + [ + 152, + 3861 + ], + [ + 10024, + 11011 + ], + [ + 3388, + 5608 + ], + [ + 3582, + 8857 + ], + [ + 98, + 7008 + ], + [ + 6319, + 9725 + ], + [ + 3138, + 5433 + ], + [ + 161, + 5078 + ], + [ + 7007, + 7093 + ], + [ + 1559, + 10715 + ], + [ + 269, + 2167 + ], + [ + 717, + 6464 + ], + [ + 6029, + 6364 + ], + [ + 7607, + 8027 + ], + [ + 1208, + 6701 + ], + [ + 2300, + 11100 + ], + [ + 2254, + 4339 + ], + [ + 3095, + 4955 + ], + [ + 2353, + 7728 + ], + [ + 290, + 9056 + ], + [ + 5622, + 6205 + ], + [ + 1575, + 7434 + ], + [ + 4622, + 6276 + ], + [ + 7134, + 8746 + ], + [ + 704, + 1691 + ], + [ + 733, + 6593 + ], + [ + 5088, + 5517 + ], + [ + 1445, + 11525 + ], + [ + 1796, + 6090 + ], + [ + 2009, + 7137 + ], + [ + 2346, + 3524 + ], + [ + 9596, + 10318 + ], + [ + 10778, + 11227 + ], + [ + 478, + 9457 + ], + [ + 3150, + 9176 + ], + [ + 4493, + 10942 + ], + [ + 1721, + 7609 + ], + [ + 1124, + 3189 + ], + [ + 2433, + 9535 + ], + [ + 6129, + 9577 + ], + [ + 7345, + 9316 + ], + [ + 6789, + 11313 + ], + [ + 4260, + 7738 + ], + [ + 4881, + 10300 + ], + [ + 7040, + 8680 + ], + [ + 2928, + 3098 + ], + [ + 1392, + 1691 + ], + [ + 7878, + 9779 + ], + [ + 6195, + 11328 + ], + [ + 1402, + 2379 + ], + [ + 1204, + 1640 + ], + [ + 3084, + 7775 + ], + [ + 892, + 7003 + ], + [ + 2609, + 4284 + ], + [ + 3722, + 7308 + ], + [ + 4260, + 11121 + ], + [ + 4040, + 6651 + ], + [ + 6157, + 11221 + ], + [ + 3819, + 4208 + ], + [ + 2377, + 2436 + ], + [ + 5589, + 6041 + ], + [ + 4369, + 8812 + ], + [ + 482, + 5038 + ], + [ + 6402, + 11025 + ], + [ + 944, + 3379 + ], + [ + 7980, + 8901 + ], + [ + 2691, + 6918 + ], + [ + 1015, + 4720 + ], + [ + 974, + 2467 + ], + [ + 6674, + 10400 + ], + [ + 2555, + 3647 + ], + [ + 7821, + 8090 + ], + [ + 5732, + 8197 + ], + [ + 1661, + 2616 + ], + [ + 5639, + 5754 + ], + [ + 286, + 8482 + ], + [ + 2217, + 4002 + ], + [ + 2265, + 6702 + ], + [ + 5948, + 9892 + ], + [ + 8341, + 10950 + ], + [ + 6438, + 9527 + ], + [ + 4258, + 10270 + ], + [ + 1116, + 5152 + ], + [ + 6993, + 7305 + ], + [ + 2454, + 6574 + ], + [ + 3610, + 6262 + ], + [ + 9174, + 10170 + ], + [ + 4998, + 7047 + ], + [ + 4913, + 8629 + ], + [ + 3776, + 6739 + ], + [ + 6365, + 11119 + ], + [ + 1322, + 8411 + ], + [ + 2354, + 6343 + ], + [ + 4966, + 6011 + ], + [ + 8487, + 10371 + ], + [ + 3094, + 9536 + ], + [ + 7638, + 11365 + ], + [ + 9726, + 11033 + ], + [ + 2531, + 4700 + ], + [ + 103, + 4587 + ], + [ + 2150, + 11424 + ], + [ + 2747, + 3012 + ], + [ + 4729, + 8700 + ], + [ + 2316, + 10373 + ], + [ + 2495, + 5420 + ], + [ + 1492, + 6728 + ], + [ + 3303, + 10060 + ], + [ + 6696, + 10293 + ], + [ + 2704, + 9731 + ], + [ + 1582, + 8873 + ], + [ + 4419, + 4687 + ], + [ + 3698, + 4173 + ], + [ + 8436, + 9251 + ], + [ + 1275, + 11574 + ], + [ + 8985, + 9493 + ], + [ + 2111, + 5430 + ], + [ + 7281, + 10165 + ], + [ + 1149, + 2575 + ], + [ + 3785, + 6801 + ], + [ + 607, + 2026 + ], + [ + 8588, + 10022 + ], + [ + 3478, + 5338 + ], + [ + 2552, + 8556 + ], + [ + 2167, + 2329 + ], + [ + 8181, + 11361 + ], + [ + 5991, + 10662 + ], + [ + 1079, + 5219 + ], + [ + 265, + 2262 + ], + [ + 356, + 1626 + ], + [ + 5536, + 7049 + ], + [ + 4717, + 10164 + ], + [ + 4631, + 4728 + ], + [ + 4958, + 6843 + ], + [ + 1632, + 2170 + ], + [ + 4381, + 4553 + ], + [ + 1915, + 8120 + ], + [ + 2450, + 5246 + ], + [ + 444, + 692 + ], + [ + 3026, + 11071 + ], + [ + 8320, + 11146 + ], + [ + 3313, + 8095 + ], + [ + 4273, + 10123 + ], + [ + 3841, + 4050 + ], + [ + 7848, + 11336 + ], + [ + 3273, + 4532 + ], + [ + 4623, + 7469 + ], + [ + 8853, + 10828 + ], + [ + 8442, + 9042 + ], + [ + 4237, + 7433 + ], + [ + 5988, + 10714 + ], + [ + 40, + 9849 + ], + [ + 2314, + 8741 + ], + [ + 2211, + 4856 + ], + [ + 7599, + 10982 + ], + [ + 5348, + 6597 + ], + [ + 1464, + 7258 + ], + [ + 2799, + 9163 + ], + [ + 9650, + 11522 + ], + [ + 5316, + 7059 + ], + [ + 125, + 2201 + ], + [ + 3512, + 10533 + ], + [ + 7060, + 7671 + ], + [ + 2755, + 8110 + ], + [ + 2078, + 5616 + ], + [ + 7083, + 7840 + ], + [ + 1047, + 4876 + ], + [ + 7117, + 11588 + ], + [ + 2198, + 4220 + ], + [ + 4499, + 11351 + ], + [ + 475, + 2206 + ], + [ + 4236, + 6053 + ], + [ + 4091, + 9836 + ], + [ + 2124, + 5210 + ], + [ + 288, + 5763 + ], + [ + 904, + 7981 + ], + [ + 1188, + 1324 + ], + [ + 3407, + 6171 + ], + [ + 6414, + 8620 + ], + [ + 4891, + 5166 + ], + [ + 5665, + 10976 + ], + [ + 4175, + 5750 + ], + [ + 8001, + 10746 + ], + [ + 5, + 9989 + ], + [ + 5564, + 7137 + ], + [ + 897, + 7160 + ], + [ + 4171, + 5227 + ], + [ + 4418, + 11520 + ], + [ + 5440, + 8764 + ], + [ + 1046, + 4250 + ], + [ + 3630, + 8286 + ], + [ + 7549, + 9309 + ], + [ + 3258, + 5674 + ], + [ + 333, + 2099 + ], + [ + 3077, + 9800 + ], + [ + 1487, + 7376 + ], + [ + 5281, + 7953 + ], + [ + 1707, + 9594 + ], + [ + 857, + 11144 + ], + [ + 922, + 11539 + ], + [ + 3592, + 4769 + ], + [ + 422, + 10435 + ], + [ + 5709, + 9339 + ], + [ + 5266, + 8769 + ], + [ + 1811, + 6160 + ], + [ + 5116, + 5792 + ], + [ + 1379, + 3497 + ], + [ + 10348, + 11405 + ], + [ + 7507, + 9433 + ], + [ + 2347, + 6140 + ], + [ + 3088, + 7306 + ], + [ + 1067, + 11489 + ], + [ + 3073, + 4739 + ], + [ + 2804, + 10930 + ], + [ + 1649, + 7680 + ], + [ + 837, + 5550 + ], + [ + 3046, + 4047 + ], + [ + 7927, + 8679 + ], + [ + 8219, + 8299 + ], + [ + 5864, + 10007 + ], + [ + 4468, + 10078 + ], + [ + 239, + 1659 + ], + [ + 6157, + 10229 + ], + [ + 10, + 1607 + ], + [ + 8925, + 10410 + ], + [ + 1943, + 10786 + ], + [ + 6743, + 10326 + ], + [ + 4646, + 6408 + ], + [ + 585, + 1515 + ], + [ + 1781, + 6294 + ], + [ + 8604, + 11523 + ], + [ + 3929, + 6767 + ], + [ + 4894, + 9139 + ], + [ + 10716, + 11585 + ], + [ + 1162, + 1526 + ], + [ + 3739, + 10807 + ], + [ + 5055, + 7744 + ], + [ + 12, + 5036 + ], + [ + 9010, + 9178 + ], + [ + 6321, + 7600 + ], + [ + 2866, + 10653 + ], + [ + 2802, + 8948 + ], + [ + 6219, + 7323 + ], + [ + 2707, + 9842 + ], + [ + 348, + 1952 + ], + [ + 3297, + 6675 + ], + [ + 936, + 10790 + ], + [ + 4052, + 6019 + ], + [ + 3140, + 8943 + ], + [ + 499, + 8537 + ], + [ + 2803, + 9550 + ], + [ + 4022, + 9560 + ], + [ + 3984, + 6824 + ], + [ + 5575, + 6440 + ], + [ + 6215, + 6800 + ], + [ + 2708, + 3247 + ], + [ + 6193, + 8704 + ], + [ + 930, + 1526 + ], + [ + 5317, + 9033 + ], + [ + 169, + 1613 + ], + [ + 2259, + 5114 + ], + [ + 352, + 11119 + ], + [ + 111, + 8024 + ], + [ + 10508, + 10858 + ], + [ + 7982, + 10964 + ], + [ + 5828, + 6512 + ], + [ + 7696, + 10378 + ], + [ + 638, + 3754 + ], + [ + 2257, + 5418 + ], + [ + 10221, + 10801 + ], + [ + 2962, + 6927 + ], + [ + 2437, + 4073 + ], + [ + 4243, + 7061 + ], + [ + 4619, + 9792 + ], + [ + 3119, + 3878 + ], + [ + 1721, + 8040 + ], + [ + 9209, + 11242 + ], + [ + 2249, + 7405 + ], + [ + 1559, + 6958 + ], + [ + 28, + 1731 + ], + [ + 3326, + 4356 + ], + [ + 9930, + 10221 + ], + [ + 4575, + 10624 + ], + [ + 5099, + 9089 + ], + [ + 372, + 8307 + ], + [ + 3636, + 5686 + ], + [ + 9551, + 10575 + ], + [ + 3855, + 10685 + ], + [ + 4430, + 5732 + ], + [ + 1727, + 4448 + ], + [ + 2816, + 2914 + ], + [ + 5897, + 10008 + ], + [ + 10284, + 11099 + ], + [ + 7204, + 9865 + ], + [ + 2193, + 9324 + ], + [ + 3411, + 9890 + ], + [ + 78, + 8210 + ], + [ + 2874, + 3269 + ], + [ + 1535, + 11044 + ], + [ + 2774, + 6071 + ], + [ + 129, + 10427 + ], + [ + 2128, + 11558 + ], + [ + 1440, + 7774 + ], + [ + 1192, + 7672 + ], + [ + 41, + 1912 + ], + [ + 624, + 1738 + ], + [ + 1651, + 5742 + ], + [ + 1744, + 1769 + ], + [ + 562, + 860 + ], + [ + 1781, + 11450 + ], + [ + 3672, + 10604 + ], + [ + 1616, + 8939 + ], + [ + 5566, + 10029 + ], + [ + 960, + 7322 + ], + [ + 3417, + 10085 + ], + [ + 712, + 7974 + ], + [ + 1558, + 8934 + ], + [ + 617, + 3950 + ], + [ + 1866, + 6835 + ], + [ + 4665, + 8581 + ], + [ + 840, + 6439 + ], + [ + 4854, + 8480 + ], + [ + 4787, + 7258 + ], + [ + 7625, + 8178 + ], + [ + 3136, + 6810 + ], + [ + 3563, + 6123 + ], + [ + 4228, + 8957 + ], + [ + 1260, + 7964 + ], + [ + 5802, + 6714 + ], + [ + 9480, + 11058 + ], + [ + 4626, + 9003 + ], + [ + 5777, + 8347 + ], + [ + 2410, + 2919 + ], + [ + 3531, + 10722 + ], + [ + 2158, + 6081 + ], + [ + 8823, + 9970 + ], + [ + 5733, + 7294 + ], + [ + 3718, + 10548 + ], + [ + 3938, + 8602 + ], + [ + 1851, + 8782 + ], + [ + 3833, + 10306 + ], + [ + 6013, + 10317 + ], + [ + 7513, + 9815 + ], + [ + 3365, + 8740 + ], + [ + 1835, + 10531 + ], + [ + 4696, + 6739 + ], + [ + 2777, + 11199 + ], + [ + 881, + 5285 + ], + [ + 6478, + 9333 + ], + [ + 4525, + 8547 + ], + [ + 3546, + 3833 + ], + [ + 8910, + 9565 + ], + [ + 4209, + 10004 + ], + [ + 462, + 2857 + ], + [ + 4080, + 7904 + ], + [ + 4331, + 5271 + ], + [ + 1767, + 8303 + ], + [ + 8802, + 10971 + ], + [ + 5003, + 10050 + ], + [ + 9120, + 9560 + ], + [ + 1120, + 2268 + ], + [ + 10799, + 11275 + ], + [ + 6215, + 10801 + ], + [ + 4811, + 6847 + ], + [ + 9606, + 10207 + ], + [ + 607, + 5840 + ], + [ + 2205, + 2463 + ], + [ + 4748, + 6498 + ], + [ + 8113, + 10345 + ], + [ + 4589, + 4933 + ], + [ + 1127, + 1153 + ], + [ + 3158, + 10867 + ], + [ + 2497, + 11158 + ], + [ + 5544, + 10754 + ], + [ + 72, + 2648 + ], + [ + 8473, + 11038 + ], + [ + 1097, + 5825 + ], + [ + 2716, + 7489 + ], + [ + 3713, + 8618 + ], + [ + 1679, + 8432 + ], + [ + 7119, + 8332 + ], + [ + 4861, + 6910 + ], + [ + 365, + 8535 + ], + [ + 4348, + 5601 + ], + [ + 3791, + 10379 + ], + [ + 5565, + 8948 + ], + [ + 6998, + 7224 + ], + [ + 3629, + 5133 + ], + [ + 3381, + 11447 + ], + [ + 9506, + 11450 + ], + [ + 8262, + 9663 + ], + [ + 8170, + 10074 + ], + [ + 5742, + 6551 + ], + [ + 7545, + 10022 + ], + [ + 5394, + 9251 + ], + [ + 6397, + 8697 + ], + [ + 4679, + 10437 + ], + [ + 2349, + 8203 + ], + [ + 262, + 4973 + ], + [ + 6547, + 8641 + ], + [ + 7354, + 10427 + ], + [ + 5234, + 8969 + ], + [ + 2529, + 6858 + ], + [ + 1064, + 9044 + ], + [ + 1680, + 4846 + ], + [ + 1894, + 9501 + ], + [ + 3666, + 7243 + ], + [ + 3726, + 11458 + ], + [ + 778, + 9589 + ], + [ + 7218, + 10916 + ], + [ + 7025, + 11275 + ], + [ + 2880, + 9717 + ], + [ + 5039, + 8097 + ], + [ + 8387, + 10839 + ], + [ + 1145, + 8070 + ], + [ + 3194, + 4400 + ], + [ + 1695, + 2094 + ], + [ + 7575, + 7928 + ], + [ + 2654, + 3897 + ], + [ + 7206, + 9751 + ], + [ + 1313, + 8593 + ], + [ + 10779, + 10891 + ], + [ + 5118, + 7050 + ], + [ + 2313, + 7741 + ], + [ + 314, + 4358 + ], + [ + 3206, + 8547 + ], + [ + 6545, + 11173 + ], + [ + 165, + 10651 + ], + [ + 4831, + 6993 + ], + [ + 6624, + 9776 + ], + [ + 4294, + 6788 + ], + [ + 118, + 10081 + ], + [ + 3638, + 11587 + ], + [ + 92, + 4696 + ], + [ + 2748, + 3882 + ], + [ + 1091, + 4400 + ], + [ + 673, + 7859 + ], + [ + 5133, + 9960 + ], + [ + 4192, + 5730 + ], + [ + 921, + 11344 + ], + [ + 10007, + 11169 + ], + [ + 7142, + 11055 + ], + [ + 5440, + 8390 + ], + [ + 5774, + 7512 + ], + [ + 2567, + 4251 + ], + [ + 7463, + 9915 + ], + [ + 5725, + 11003 + ], + [ + 4877, + 9216 + ], + [ + 232, + 919 + ], + [ + 8170, + 11497 + ], + [ + 6960, + 8540 + ], + [ + 9668, + 10922 + ], + [ + 3584, + 3780 + ], + [ + 3280, + 6752 + ], + [ + 1917, + 2799 + ], + [ + 8534, + 9680 + ], + [ + 9187, + 10999 + ], + [ + 4247, + 9170 + ], + [ + 2339, + 7403 + ], + [ + 876, + 11170 + ], + [ + 4983, + 9992 + ], + [ + 1647, + 3877 + ], + [ + 2376, + 10668 + ], + [ + 9967, + 11339 + ], + [ + 8819, + 9260 + ], + [ + 2615, + 4268 + ], + [ + 5567, + 8508 + ], + [ + 5424, + 6702 + ], + [ + 959, + 9892 + ], + [ + 7657, + 9757 + ], + [ + 4009, + 9005 + ], + [ + 7529, + 10511 + ], + [ + 6218, + 6748 + ], + [ + 1170, + 7860 + ], + [ + 2145, + 5258 + ], + [ + 6680, + 8499 + ], + [ + 793, + 4877 + ], + [ + 139, + 4087 + ], + [ + 4095, + 8375 + ], + [ + 1662, + 10924 + ], + [ + 3377, + 5880 + ], + [ + 545, + 1742 + ], + [ + 1725, + 8240 + ], + [ + 1940, + 10114 + ], + [ + 259, + 7572 + ], + [ + 5111, + 7302 + ], + [ + 1477, + 2476 + ], + [ + 4713, + 10639 + ], + [ + 5417, + 8540 + ], + [ + 2929, + 4966 + ], + [ + 6258, + 9156 + ], + [ + 2283, + 10453 + ], + [ + 5602, + 7539 + ], + [ + 11149, + 11443 + ], + [ + 3608, + 3719 + ], + [ + 662, + 9093 + ], + [ + 3016, + 10223 + ], + [ + 2732, + 4048 + ], + [ + 4479, + 10593 + ], + [ + 219, + 2107 + ], + [ + 1859, + 4648 + ], + [ + 4735, + 8304 + ], + [ + 7531, + 10533 + ], + [ + 6125, + 9916 + ], + [ + 4879, + 11466 + ], + [ + 7060, + 7915 + ], + [ + 1950, + 3231 + ], + [ + 4931, + 10875 + ], + [ + 7264, + 11128 + ], + [ + 11001, + 11171 + ], + [ + 2764, + 9571 + ], + [ + 851, + 7460 + ], + [ + 1659, + 3432 + ], + [ + 3837, + 9032 + ], + [ + 146, + 10088 + ], + [ + 1872, + 4479 + ], + [ + 669, + 2693 + ], + [ + 3036, + 11198 + ], + [ + 3740, + 9099 + ], + [ + 701, + 1450 + ], + [ + 7575, + 8896 + ], + [ + 3549, + 8750 + ], + [ + 1777, + 4592 + ], + [ + 7012, + 9722 + ], + [ + 6981, + 8157 + ], + [ + 4206, + 5307 + ], + [ + 6544, + 8156 + ], + [ + 3325, + 7544 + ], + [ + 8593, + 8650 + ], + [ + 4207, + 8161 + ], + [ + 213, + 6772 + ], + [ + 153, + 305 + ], + [ + 7537, + 9543 + ], + [ + 4359, + 4768 + ], + [ + 8454, + 8491 + ], + [ + 1716, + 3535 + ], + [ + 250, + 10037 + ], + [ + 2614, + 5439 + ], + [ + 1984, + 5043 + ], + [ + 2698, + 3632 + ], + [ + 2584, + 6728 + ], + [ + 2608, + 11286 + ], + [ + 6500, + 8234 + ], + [ + 368, + 644 + ], + [ + 901, + 1107 + ], + [ + 711, + 11563 + ], + [ + 3880, + 7924 + ], + [ + 6242, + 6663 + ], + [ + 1008, + 11557 + ], + [ + 6729, + 6781 + ], + [ + 6639, + 10271 + ], + [ + 8789, + 11571 + ], + [ + 3932, + 5081 + ], + [ + 1812, + 5875 + ], + [ + 1034, + 9745 + ], + [ + 4184, + 5302 + ], + [ + 3675, + 3735 + ], + [ + 3738, + 7467 + ], + [ + 3645, + 5024 + ], + [ + 2124, + 4649 + ], + [ + 1098, + 10669 + ], + [ + 5829, + 11570 + ], + [ + 2128, + 11184 + ], + [ + 6629, + 9933 + ], + [ + 1002, + 7174 + ], + [ + 10399, + 10833 + ], + [ + 5965, + 6920 + ], + [ + 7086, + 10559 + ], + [ + 1231, + 5721 + ], + [ + 2046, + 11532 + ], + [ + 3009, + 10825 + ], + [ + 2173, + 4137 + ], + [ + 1447, + 4033 + ], + [ + 2603, + 3721 + ], + [ + 2453, + 7160 + ], + [ + 1663, + 2345 + ], + [ + 8882, + 9826 + ], + [ + 6151, + 6494 + ], + [ + 733, + 1657 + ], + [ + 8847, + 10771 + ], + [ + 2997, + 6277 + ], + [ + 1192, + 6143 + ], + [ + 4844, + 10020 + ], + [ + 515, + 10065 + ], + [ + 4649, + 7300 + ], + [ + 2741, + 5533 + ], + [ + 344, + 7739 + ], + [ + 3592, + 7591 + ], + [ + 466, + 3006 + ], + [ + 5976, + 10061 + ], + [ + 2093, + 2279 + ], + [ + 967, + 10347 + ], + [ + 3744, + 8362 + ], + [ + 9623, + 11342 + ], + [ + 4052, + 6263 + ], + [ + 1846, + 7283 + ], + [ + 2052, + 4907 + ], + [ + 4476, + 7530 + ], + [ + 969, + 10393 + ], + [ + 1776, + 9927 + ], + [ + 458, + 4993 + ], + [ + 1045, + 2309 + ], + [ + 983, + 1431 + ], + [ + 5093, + 6186 + ], + [ + 404, + 2478 + ], + [ + 1775, + 5538 + ], + [ + 1204, + 6503 + ], + [ + 2105, + 7924 + ], + [ + 5343, + 10498 + ], + [ + 2074, + 6359 + ], + [ + 3359, + 8147 + ], + [ + 5126, + 5545 + ], + [ + 3104, + 6874 + ], + [ + 3133, + 6114 + ], + [ + 1706, + 11036 + ], + [ + 82, + 3366 + ], + [ + 8077, + 10314 + ], + [ + 7017, + 8836 + ], + [ + 446, + 3828 + ], + [ + 8568, + 10551 + ], + [ + 4554, + 6258 + ], + [ + 4125, + 10282 + ], + [ + 1482, + 9049 + ], + [ + 6117, + 10242 + ], + [ + 9534, + 10115 + ], + [ + 5736, + 10550 + ], + [ + 2933, + 11314 + ], + [ + 2607, + 5667 + ], + [ + 1237, + 11123 + ], + [ + 1369, + 7078 + ], + [ + 1400, + 6391 + ], + [ + 180, + 4998 + ], + [ + 3829, + 9358 + ], + [ + 8211, + 10105 + ], + [ + 3667, + 4112 + ], + [ + 4542, + 8476 + ], + [ + 2860, + 5709 + ], + [ + 1728, + 4917 + ], + [ + 2410, + 3968 + ], + [ + 5613, + 10493 + ], + [ + 3717, + 3825 + ], + [ + 1167, + 3537 + ], + [ + 2003, + 10225 + ], + [ + 5612, + 10268 + ], + [ + 2312, + 10980 + ], + [ + 4800, + 8892 + ], + [ + 3093, + 5129 + ], + [ + 1288, + 4995 + ], + [ + 2339, + 8639 + ], + [ + 2196, + 6833 + ], + [ + 2067, + 11149 + ], + [ + 9030, + 11497 + ], + [ + 2368, + 7879 + ], + [ + 3832, + 5468 + ], + [ + 2612, + 8239 + ], + [ + 1536, + 7726 + ], + [ + 4552, + 8009 + ], + [ + 6037, + 6475 + ], + [ + 7155, + 9843 + ], + [ + 1119, + 8377 + ], + [ + 2734, + 6135 + ], + [ + 2049, + 6032 + ], + [ + 3482, + 4308 + ], + [ + 555, + 9732 + ], + [ + 8872, + 11261 + ], + [ + 1023, + 5636 + ], + [ + 1730, + 7218 + ], + [ + 6931, + 7102 + ], + [ + 7022, + 7220 + ], + [ + 5566, + 7240 + ], + [ + 2326, + 8003 + ], + [ + 4475, + 5695 + ], + [ + 8458, + 9177 + ], + [ + 2224, + 7726 + ], + [ + 3442, + 8292 + ], + [ + 9548, + 10497 + ], + [ + 1298, + 4528 + ], + [ + 6950, + 8283 + ], + [ + 976, + 8449 + ], + [ + 1920, + 4282 + ], + [ + 639, + 9029 + ], + [ + 1138, + 3492 + ], + [ + 6769, + 9376 + ], + [ + 5363, + 6507 + ], + [ + 6483, + 6538 + ], + [ + 2058, + 2711 + ], + [ + 1469, + 8732 + ], + [ + 5017, + 5870 + ], + [ + 8197, + 10691 + ], + [ + 2521, + 7316 + ], + [ + 4233, + 5007 + ], + [ + 10342, + 10893 + ], + [ + 3045, + 10699 + ], + [ + 2952, + 3338 + ], + [ + 653, + 6833 + ], + [ + 3328, + 6069 + ], + [ + 2607, + 10473 + ], + [ + 8214, + 11045 + ], + [ + 1267, + 1808 + ], + [ + 7285, + 8330 + ], + [ + 1115, + 4420 + ], + [ + 122, + 9826 + ], + [ + 6722, + 9156 + ], + [ + 2302, + 3421 + ], + [ + 7990, + 9085 + ], + [ + 6257, + 11271 + ], + [ + 4667, + 8093 + ], + [ + 4168, + 7214 + ], + [ + 1730, + 6413 + ], + [ + 3419, + 8816 + ], + [ + 5594, + 8483 + ], + [ + 4122, + 6465 + ], + [ + 77, + 6269 + ], + [ + 3251, + 7892 + ], + [ + 2509, + 6501 + ], + [ + 5238, + 6754 + ], + [ + 10250, + 10903 + ], + [ + 8094, + 9034 + ], + [ + 7257, + 11543 + ], + [ + 2067, + 9539 + ], + [ + 3581, + 6491 + ], + [ + 3858, + 5079 + ], + [ + 1806, + 7697 + ], + [ + 335, + 6685 + ], + [ + 3659, + 4869 + ], + [ + 1776, + 9740 + ], + [ + 5259, + 11364 + ], + [ + 557, + 2533 + ], + [ + 268, + 8846 + ], + [ + 7489, + 10738 + ], + [ + 1740, + 7050 + ], + [ + 7896, + 8618 + ], + [ + 8080, + 10425 + ], + [ + 7436, + 10323 + ], + [ + 5841, + 7555 + ], + [ + 2823, + 7199 + ], + [ + 6837, + 9994 + ], + [ + 6527, + 11266 + ], + [ + 5764, + 9028 + ], + [ + 4024, + 9289 + ], + [ + 1309, + 6490 + ], + [ + 3437, + 5557 + ], + [ + 5455, + 10902 + ], + [ + 570, + 9534 + ], + [ + 7781, + 9984 + ], + [ + 2939, + 5280 + ], + [ + 2870, + 7395 + ], + [ + 10624, + 11248 + ], + [ + 3644, + 6035 + ], + [ + 70, + 8430 + ], + [ + 3174, + 3642 + ], + [ + 9501, + 10919 + ], + [ + 2705, + 8267 + ], + [ + 3457, + 3930 + ], + [ + 6514, + 9876 + ], + [ + 1469, + 10505 + ], + [ + 3706, + 4634 + ], + [ + 7876, + 9440 + ], + [ + 861, + 11588 + ], + [ + 4758, + 9634 + ], + [ + 6246, + 7617 + ], + [ + 10330, + 11151 + ], + [ + 2567, + 5300 + ], + [ + 273, + 1969 + ], + [ + 4254, + 11040 + ], + [ + 2348, + 3684 + ], + [ + 9507, + 11114 + ], + [ + 6174, + 9434 + ], + [ + 891, + 4233 + ], + [ + 7212, + 10564 + ], + [ + 3528, + 7149 + ], + [ + 6088, + 6627 + ], + [ + 4273, + 5805 + ], + [ + 909, + 4812 + ], + [ + 8544, + 11417 + ], + [ + 855, + 7959 + ], + [ + 7417, + 10215 + ], + [ + 3403, + 5922 + ], + [ + 1933, + 7764 + ], + [ + 6640, + 10523 + ], + [ + 1812, + 9689 + ], + [ + 6533, + 9902 + ], + [ + 1676, + 4166 + ], + [ + 8439, + 10842 + ], + [ + 779, + 5870 + ], + [ + 806, + 3529 + ], + [ + 2516, + 4557 + ], + [ + 6437, + 7161 + ], + [ + 1774, + 3920 + ], + [ + 1141, + 4007 + ], + [ + 7940, + 10340 + ], + [ + 4008, + 9829 + ], + [ + 6491, + 6643 + ], + [ + 7562, + 10919 + ], + [ + 6991, + 7720 + ], + [ + 9114, + 10607 + ], + [ + 1524, + 6374 + ], + [ + 2264, + 6938 + ], + [ + 824, + 5239 + ], + [ + 5932, + 8342 + ], + [ + 3848, + 9547 + ], + [ + 1365, + 5563 + ], + [ + 1021, + 5753 + ], + [ + 2605, + 10614 + ], + [ + 5021, + 6206 + ], + [ + 3188, + 10440 + ], + [ + 4872, + 6083 + ], + [ + 2168, + 6826 + ], + [ + 5117, + 9297 + ], + [ + 1812, + 5501 + ], + [ + 1313, + 1616 + ], + [ + 1197, + 10301 + ], + [ + 569, + 4316 + ], + [ + 5457, + 5955 + ], + [ + 1560, + 2247 + ], + [ + 1503, + 1713 + ], + [ + 74, + 9972 + ], + [ + 3087, + 3568 + ], + [ + 5862, + 7172 + ], + [ + 4859, + 7726 + ], + [ + 67, + 8801 + ], + [ + 1808, + 4978 + ], + [ + 5502, + 8357 + ], + [ + 275, + 3088 + ], + [ + 2548, + 8925 + ], + [ + 5473, + 6838 + ], + [ + 10354, + 10716 + ], + [ + 3133, + 3162 + ], + [ + 9577, + 11024 + ], + [ + 609, + 8976 + ], + [ + 3843, + 7644 + ], + [ + 386, + 4208 + ], + [ + 8486, + 9452 + ], + [ + 7541, + 7732 + ], + [ + 8268, + 11444 + ], + [ + 7239, + 10777 + ], + [ + 7571, + 9072 + ], + [ + 3588, + 10508 + ], + [ + 436, + 6954 + ], + [ + 3617, + 4830 + ], + [ + 6972, + 8743 + ], + [ + 6519, + 7455 + ], + [ + 535, + 6933 + ], + [ + 1996, + 7257 + ], + [ + 199, + 4732 + ], + [ + 911, + 9664 + ], + [ + 5613, + 5663 + ], + [ + 322, + 9269 + ], + [ + 188, + 6071 + ], + [ + 7, + 7945 + ], + [ + 3272, + 8178 + ], + [ + 5347, + 9893 + ], + [ + 4760, + 6915 + ], + [ + 1675, + 4583 + ], + [ + 6993, + 9216 + ], + [ + 6931, + 8338 + ], + [ + 4754, + 6346 + ], + [ + 1144, + 8330 + ], + [ + 487, + 3859 + ], + [ + 3704, + 7808 + ], + [ + 1739, + 9671 + ], + [ + 56, + 11220 + ], + [ + 121, + 5199 + ], + [ + 1920, + 5518 + ], + [ + 8195, + 8498 + ], + [ + 3821, + 5360 + ], + [ + 7764, + 9443 + ], + [ + 949, + 2577 + ], + [ + 3094, + 11447 + ], + [ + 10964, + 11533 + ], + [ + 5272, + 8379 + ], + [ + 6120, + 10166 + ], + [ + 2978, + 7300 + ], + [ + 4189, + 7449 + ], + [ + 4399, + 8225 + ], + [ + 7599, + 10315 + ], + [ + 6292, + 7425 + ], + [ + 851, + 1638 + ], + [ + 9304, + 10218 + ], + [ + 10324, + 10799 + ], + [ + 6235, + 10274 + ], + [ + 3701, + 10519 + ], + [ + 2672, + 5688 + ], + [ + 1927, + 5534 + ], + [ + 6531, + 6660 + ], + [ + 2083, + 5293 + ], + [ + 6346, + 11044 + ], + [ + 4471, + 6007 + ], + [ + 7373, + 8632 + ], + [ + 2946, + 8142 + ], + [ + 1201, + 1643 + ], + [ + 2885, + 10118 + ], + [ + 5474, + 8082 + ], + [ + 3623, + 7603 + ], + [ + 4254, + 4437 + ], + [ + 917, + 5267 + ], + [ + 5280, + 8216 + ], + [ + 6890, + 7882 + ], + [ + 4459, + 4842 + ], + [ + 1874, + 6997 + ], + [ + 3842, + 8815 + ], + [ + 2003, + 3435 + ], + [ + 1378, + 9799 + ], + [ + 1163, + 5673 + ], + [ + 4929, + 10618 + ], + [ + 2408, + 4652 + ], + [ + 3239, + 3826 + ], + [ + 2648, + 3358 + ], + [ + 11077, + 11544 + ], + [ + 4917, + 6070 + ], + [ + 3774, + 10751 + ], + [ + 2700, + 6931 + ], + [ + 2364, + 6982 + ], + [ + 549, + 6160 + ], + [ + 4788, + 6599 + ], + [ + 531, + 4800 + ], + [ + 4605, + 7646 + ], + [ + 7241, + 7708 + ], + [ + 2107, + 3384 + ], + [ + 6716, + 9018 + ], + [ + 7769, + 7827 + ], + [ + 4689, + 6593 + ], + [ + 1695, + 4379 + ], + [ + 3540, + 11459 + ], + [ + 5191, + 11126 + ], + [ + 2543, + 9549 + ], + [ + 5746, + 8904 + ], + [ + 5335, + 7118 + ], + [ + 10097, + 10338 + ], + [ + 763, + 3995 + ], + [ + 3311, + 8374 + ], + [ + 3441, + 7666 + ], + [ + 6008, + 9843 + ], + [ + 6515, + 11337 + ], + [ + 7718, + 10871 + ], + [ + 4423, + 7009 + ], + [ + 4767, + 5321 + ], + [ + 89, + 1048 + ], + [ + 1317, + 2302 + ], + [ + 4733, + 9120 + ], + [ + 7477, + 11159 + ], + [ + 5323, + 5953 + ], + [ + 1842, + 10791 + ], + [ + 4700, + 6728 + ], + [ + 964, + 10293 + ], + [ + 8274, + 8470 + ], + [ + 796, + 5232 + ], + [ + 2229, + 3508 + ], + [ + 1265, + 10406 + ], + [ + 5522, + 5789 + ], + [ + 742, + 1963 + ], + [ + 1765, + 8477 + ], + [ + 5060, + 7421 + ], + [ + 3311, + 10602 + ], + [ + 4462, + 9946 + ], + [ + 1542, + 10125 + ], + [ + 797, + 5053 + ], + [ + 2810, + 5890 + ], + [ + 4991, + 8755 + ], + [ + 6763, + 10661 + ], + [ + 1190, + 11171 + ], + [ + 5682, + 10558 + ], + [ + 3958, + 11352 + ], + [ + 1317, + 4530 + ], + [ + 3314, + 11250 + ], + [ + 323, + 6301 + ], + [ + 1625, + 1650 + ], + [ + 5694, + 10568 + ], + [ + 1320, + 7430 + ], + [ + 4773, + 7714 + ], + [ + 3175, + 4675 + ], + [ + 2551, + 8231 + ], + [ + 1374, + 7666 + ], + [ + 648, + 5310 + ], + [ + 7339, + 10420 + ], + [ + 3631, + 8863 + ], + [ + 2141, + 3637 + ], + [ + 4756, + 9238 + ], + [ + 5568, + 9116 + ], + [ + 1650, + 6783 + ], + [ + 736, + 4376 + ], + [ + 1911, + 4114 + ], + [ + 7425, + 8659 + ], + [ + 546, + 9914 + ], + [ + 2079, + 6142 + ], + [ + 5807, + 8351 + ], + [ + 4028, + 9438 + ], + [ + 4649, + 5584 + ], + [ + 891, + 4664 + ], + [ + 8640, + 8927 + ], + [ + 8855, + 10801 + ], + [ + 5770, + 8469 + ], + [ + 9164, + 11556 + ], + [ + 389, + 9149 + ], + [ + 907, + 8580 + ], + [ + 7574, + 9132 + ], + [ + 1189, + 7512 + ], + [ + 540, + 650 + ], + [ + 1945, + 9710 + ], + [ + 259, + 6824 + ], + [ + 8187, + 11052 + ], + [ + 7729, + 9420 + ], + [ + 4893, + 8546 + ], + [ + 1025, + 3324 + ], + [ + 6976, + 7870 + ], + [ + 3671, + 4074 + ], + [ + 876, + 9617 + ], + [ + 6344, + 6647 + ], + [ + 4983, + 8439 + ], + [ + 6691, + 8640 + ], + [ + 7317, + 7382 + ], + [ + 2171, + 7959 + ], + [ + 3984, + 5702 + ], + [ + 8125, + 9770 + ], + [ + 6876, + 7639 + ], + [ + 3699, + 6472 + ], + [ + 1481, + 10141 + ], + [ + 1770, + 3828 + ], + [ + 4810, + 8669 + ], + [ + 1355, + 5306 + ], + [ + 4223, + 9101 + ], + [ + 4875, + 6812 + ], + [ + 3290, + 11148 + ], + [ + 988, + 3792 + ], + [ + 7077, + 10554 + ], + [ + 236, + 8883 + ], + [ + 833, + 6887 + ], + [ + 292, + 5028 + ], + [ + 1570, + 6399 + ], + [ + 1700, + 5691 + ], + [ + 8382, + 10715 + ], + [ + 2592, + 6272 + ], + [ + 5324, + 6796 + ], + [ + 1349, + 8093 + ], + [ + 3928, + 11031 + ], + [ + 1550, + 11035 + ], + [ + 2079, + 10598 + ], + [ + 2141, + 5060 + ], + [ + 6750, + 11448 + ], + [ + 2990, + 3285 + ], + [ + 6371, + 8419 + ], + [ + 1987, + 4593 + ], + [ + 8485, + 9308 + ], + [ + 2231, + 4953 + ], + [ + 2301, + 5692 + ], + [ + 1742, + 4008 + ], + [ + 3285, + 6616 + ], + [ + 2385, + 4639 + ], + [ + 634, + 11157 + ], + [ + 2979, + 6509 + ], + [ + 5501, + 8913 + ], + [ + 2758, + 4066 + ], + [ + 36, + 96 + ], + [ + 4528, + 5899 + ], + [ + 4130, + 11488 + ], + [ + 4772, + 8511 + ], + [ + 7723, + 11028 + ], + [ + 4144, + 5909 + ], + [ + 9780, + 11383 + ], + [ + 1217, + 4917 + ], + [ + 1148, + 9284 + ], + [ + 1655, + 8526 + ], + [ + 3358, + 4219 + ], + [ + 7382, + 7702 + ], + [ + 122, + 9265 + ], + [ + 7529, + 10381 + ], + [ + 583, + 10414 + ], + [ + 6935, + 9642 + ], + [ + 9359, + 11511 + ], + [ + 5997, + 11345 + ], + [ + 2332, + 11370 + ], + [ + 5209, + 10740 + ], + [ + 7203, + 7363 + ], + [ + 2165, + 9163 + ], + [ + 8290, + 11418 + ], + [ + 3942, + 7249 + ], + [ + 4154, + 5442 + ], + [ + 852, + 5327 + ], + [ + 4033, + 7367 + ], + [ + 1163, + 6909 + ], + [ + 827, + 6960 + ], + [ + 7040, + 9062 + ], + [ + 3363, + 7572 + ], + [ + 601, + 11343 + ], + [ + 252, + 4019 + ], + [ + 5270, + 11366 + ], + [ + 1445, + 9224 + ], + [ + 1443, + 6145 + ], + [ + 5486, + 9678 + ], + [ + 7258, + 7420 + ], + [ + 312, + 8207 + ], + [ + 3359, + 7049 + ], + [ + 5286, + 8866 + ], + [ + 7746, + 10392 + ], + [ + 2744, + 7685 + ], + [ + 7990, + 10752 + ], + [ + 3384, + 8799 + ], + [ + 6912, + 10166 + ], + [ + 3729, + 5047 + ], + [ + 1580, + 5103 + ], + [ + 5351, + 10392 + ], + [ + 2724, + 3276 + ], + [ + 4260, + 5437 + ], + [ + 5507, + 10905 + ], + [ + 5839, + 6948 + ], + [ + 6052, + 7995 + ], + [ + 2447, + 10323 + ], + [ + 458, + 7628 + ], + [ + 4534, + 7137 + ], + [ + 7299, + 10053 + ], + [ + 1751, + 9307 + ], + [ + 3817, + 8250 + ], + [ + 1047, + 4990 + ], + [ + 3373, + 10488 + ], + [ + 9849, + 11472 + ], + [ + 4398, + 7249 + ], + [ + 8756, + 9854 + ], + [ + 1820, + 10575 + ], + [ + 2930, + 9918 + ], + [ + 1378, + 10230 + ], + [ + 6976, + 10716 + ], + [ + 6282, + 6363 + ], + [ + 4074, + 11474 + ], + [ + 1710, + 3240 + ], + [ + 3545, + 5468 + ], + [ + 749, + 987 + ], + [ + 6000, + 6650 + ], + [ + 2638, + 6484 + ], + [ + 6153, + 7646 + ], + [ + 2770, + 5849 + ], + [ + 3886, + 9144 + ], + [ + 4971, + 10120 + ], + [ + 8429, + 10748 + ], + [ + 1149, + 7495 + ], + [ + 2510, + 10621 + ], + [ + 4719, + 8364 + ], + [ + 4774, + 6573 + ], + [ + 10293, + 11462 + ], + [ + 696, + 6237 + ], + [ + 8691, + 10933 + ], + [ + 5991, + 9166 + ], + [ + 4024, + 4540 + ], + [ + 3158, + 5557 + ], + [ + 7602, + 10188 + ], + [ + 7729, + 11461 + ], + [ + 5088, + 11055 + ], + [ + 638, + 2445 + ], + [ + 478, + 5196 + ], + [ + 1529, + 9594 + ], + [ + 7193, + 8448 + ], + [ + 4421, + 11531 + ], + [ + 7729, + 8428 + ], + [ + 167, + 6243 + ], + [ + 3830, + 10309 + ], + [ + 4303, + 10721 + ], + [ + 502, + 6721 + ], + [ + 779, + 5309 + ], + [ + 2983, + 9124 + ], + [ + 10985, + 11581 + ], + [ + 1764, + 9087 + ], + [ + 4890, + 7256 + ], + [ + 4016, + 4248 + ], + [ + 1526, + 3257 + ], + [ + 2520, + 4869 + ], + [ + 4471, + 11244 + ], + [ + 1921, + 6038 + ], + [ + 6840, + 6990 + ], + [ + 6659, + 8110 + ], + [ + 3533, + 6531 + ], + [ + 4340, + 5311 + ], + [ + 1265, + 10837 + ], + [ + 1199, + 6053 + ], + [ + 1228, + 4539 + ], + [ + 7241, + 10717 + ], + [ + 2439, + 4688 + ], + [ + 2626, + 10930 + ], + [ + 9785, + 11190 + ], + [ + 5117, + 5353 + ], + [ + 5898, + 5918 + ], + [ + 2417, + 10002 + ], + [ + 1882, + 7214 + ], + [ + 1599, + 3893 + ], + [ + 1964, + 2328 + ], + [ + 4489, + 11419 + ], + [ + 4491, + 5830 + ], + [ + 2650, + 6039 + ], + [ + 3393, + 9530 + ], + [ + 1559, + 4494 + ], + [ + 3995, + 8632 + ], + [ + 7637, + 11067 + ], + [ + 593, + 10565 + ], + [ + 3239, + 9063 + ], + [ + 8791, + 10682 + ], + [ + 9775, + 10852 + ], + [ + 1893, + 6999 + ], + [ + 131, + 3529 + ], + [ + 4581, + 11358 + ], + [ + 2335, + 7317 + ], + [ + 1580, + 5721 + ], + [ + 3178, + 8760 + ], + [ + 3541, + 6368 + ], + [ + 1208, + 3863 + ], + [ + 9232, + 10051 + ], + [ + 1147, + 5839 + ], + [ + 2050, + 7333 + ], + [ + 2759, + 6332 + ], + [ + 2669, + 3406 + ], + [ + 2168, + 11526 + ], + [ + 3852, + 11333 + ], + [ + 4463, + 9043 + ], + [ + 6858, + 10174 + ], + [ + 1129, + 4509 + ], + [ + 1096, + 2117 + ], + [ + 10030, + 10970 + ], + [ + 2588, + 7389 + ], + [ + 3054, + 5876 + ], + [ + 10870, + 11361 + ], + [ + 918, + 6891 + ], + [ + 4425, + 6657 + ], + [ + 3272, + 10650 + ], + [ + 6321, + 6909 + ], + [ + 746, + 10756 + ], + [ + 2124, + 9325 + ], + [ + 3772, + 9475 + ], + [ + 3021, + 10250 + ], + [ + 2240, + 10439 + ], + [ + 4008, + 10691 + ], + [ + 5350, + 9603 + ], + [ + 6912, + 9979 + ], + [ + 1179, + 4572 + ], + [ + 3140, + 5219 + ], + [ + 9017, + 11536 + ], + [ + 9643, + 10278 + ], + [ + 2880, + 3602 + ], + [ + 8736, + 11294 + ], + [ + 1231, + 10397 + ], + [ + 5030, + 11318 + ], + [ + 8051, + 11191 + ], + [ + 2074, + 5424 + ], + [ + 4384, + 10389 + ], + [ + 3262, + 9531 + ], + [ + 81, + 5239 + ], + [ + 2376, + 5008 + ], + [ + 7857, + 11325 + ], + [ + 2131, + 9341 + ], + [ + 5892, + 9778 + ], + [ + 1511, + 3217 + ], + [ + 3116, + 6703 + ], + [ + 5703, + 10256 + ], + [ + 1785, + 5671 + ], + [ + 3521, + 3756 + ], + [ + 7667, + 8168 + ], + [ + 1401, + 1544 + ], + [ + 1158, + 8956 + ], + [ + 7875, + 8871 + ], + [ + 7479, + 8871 + ], + [ + 4628, + 6211 + ], + [ + 3858, + 9942 + ], + [ + 6160, + 10882 + ], + [ + 2865, + 5522 + ], + [ + 2139, + 2412 + ], + [ + 9024, + 10771 + ], + [ + 5323, + 10385 + ], + [ + 7219, + 10637 + ], + [ + 5464, + 9866 + ], + [ + 873, + 8945 + ], + [ + 2599, + 3336 + ], + [ + 5527, + 7182 + ], + [ + 1392, + 11230 + ], + [ + 4374, + 5513 + ], + [ + 2875, + 8869 + ], + [ + 6271, + 8619 + ], + [ + 421, + 4125 + ], + [ + 8553, + 11536 + ], + [ + 8691, + 10746 + ], + [ + 5869, + 8050 + ], + [ + 7949, + 10109 + ], + [ + 6366, + 8856 + ], + [ + 2314, + 3325 + ], + [ + 4339, + 5677 + ], + [ + 6582, + 9420 + ], + [ + 1037, + 3310 + ], + [ + 4870, + 9477 + ], + [ + 1599, + 10927 + ], + [ + 4149, + 9717 + ], + [ + 1413, + 6041 + ], + [ + 1368, + 2134 + ], + [ + 11369, + 11384 + ], + [ + 233, + 10840 + ], + [ + 531, + 3889 + ], + [ + 6004, + 6181 + ], + [ + 997, + 3130 + ], + [ + 5019, + 5786 + ], + [ + 3851, + 8747 + ], + [ + 192, + 7806 + ], + [ + 3693, + 4374 + ], + [ + 269, + 3330 + ], + [ + 528, + 4722 + ], + [ + 5378, + 10041 + ], + [ + 5634, + 7752 + ], + [ + 3166, + 11246 + ], + [ + 4713, + 10590 + ], + [ + 7930, + 8123 + ], + [ + 17, + 11373 + ], + [ + 4131, + 4950 + ], + [ + 3064, + 4553 + ], + [ + 4626, + 4929 + ], + [ + 5059, + 8194 + ], + [ + 3161, + 7869 + ], + [ + 7925, + 11162 + ], + [ + 1072, + 1560 + ], + [ + 1570, + 5220 + ], + [ + 8075, + 11106 + ], + [ + 3870, + 9497 + ], + [ + 2590, + 5047 + ], + [ + 1186, + 1847 + ], + [ + 2684, + 11098 + ], + [ + 1997, + 7916 + ], + [ + 182, + 2930 + ], + [ + 1938, + 6555 + ], + [ + 61, + 4855 + ], + [ + 904, + 6298 + ], + [ + 6010, + 6322 + ], + [ + 6538, + 8693 + ], + [ + 6966, + 7450 + ], + [ + 1687, + 6155 + ], + [ + 206, + 4455 + ], + [ + 586, + 3922 + ], + [ + 615, + 9578 + ], + [ + 1332, + 7684 + ], + [ + 4594, + 4990 + ], + [ + 5822, + 6244 + ], + [ + 4604, + 9842 + ], + [ + 4347, + 7742 + ], + [ + 5935, + 7841 + ], + [ + 608, + 5374 + ], + [ + 2356, + 2722 + ], + [ + 6619, + 10725 + ], + [ + 260, + 8074 + ], + [ + 664, + 1519 + ], + [ + 706, + 11544 + ], + [ + 5274, + 11515 + ], + [ + 6024, + 9761 + ], + [ + 2962, + 3471 + ], + [ + 5766, + 11223 + ], + [ + 2281, + 9903 + ], + [ + 1291, + 11416 + ], + [ + 97, + 6740 + ], + [ + 6038, + 6434 + ], + [ + 2467, + 6094 + ], + [ + 1247, + 8111 + ], + [ + 2240, + 6869 + ], + [ + 2773, + 3168 + ], + [ + 2768, + 2824 + ], + [ + 123, + 11344 + ], + [ + 4390, + 7415 + ], + [ + 1310, + 6181 + ], + [ + 6382, + 7375 + ], + [ + 819, + 9327 + ], + [ + 1153, + 2033 + ], + [ + 6285, + 10448 + ], + [ + 4516, + 9971 + ], + [ + 3981, + 6429 + ], + [ + 1085, + 7002 + ], + [ + 9510, + 11282 + ], + [ + 5568, + 8555 + ], + [ + 1800, + 2783 + ], + [ + 3598, + 5910 + ], + [ + 4532, + 6717 + ], + [ + 4033, + 5838 + ], + [ + 3097, + 8368 + ], + [ + 1854, + 9435 + ], + [ + 3385, + 8246 + ], + [ + 3003, + 7952 + ], + [ + 8364, + 9249 + ], + [ + 4723, + 9668 + ], + [ + 1731, + 1865 + ], + [ + 6925, + 11158 + ], + [ + 970, + 1952 + ], + [ + 10227, + 10492 + ], + [ + 2617, + 11299 + ], + [ + 3059, + 5228 + ], + [ + 941, + 6849 + ], + [ + 3031, + 10350 + ], + [ + 8161, + 9270 + ], + [ + 5733, + 11409 + ], + [ + 155, + 5159 + ], + [ + 4668, + 5423 + ], + [ + 5072, + 9448 + ], + [ + 2825, + 8969 + ], + [ + 2336, + 5772 + ], + [ + 1097, + 4329 + ], + [ + 11324, + 11478 + ], + [ + 5880, + 8426 + ], + [ + 3822, + 7846 + ], + [ + 5131, + 10028 + ], + [ + 2044, + 5371 + ], + [ + 6275, + 11584 + ], + [ + 8429, + 10374 + ], + [ + 4814, + 4844 + ], + [ + 1044, + 9579 + ], + [ + 5343, + 8571 + ], + [ + 7361, + 9752 + ], + [ + 3875, + 7076 + ], + [ + 480, + 4518 + ], + [ + 3532, + 3704 + ], + [ + 1593, + 7542 + ], + [ + 2076, + 3724 + ], + [ + 1068, + 4688 + ], + [ + 5576, + 10270 + ], + [ + 1036, + 5150 + ], + [ + 382, + 10776 + ], + [ + 5668, + 6826 + ], + [ + 2871, + 11542 + ], + [ + 814, + 10406 + ], + [ + 3871, + 9936 + ], + [ + 3178, + 5808 + ], + [ + 282, + 10545 + ], + [ + 1705, + 8133 + ], + [ + 2644, + 11536 + ], + [ + 1775, + 8872 + ], + [ + 534, + 4350 + ], + [ + 5112, + 11425 + ], + [ + 1155, + 7666 + ], + [ + 2333, + 11085 + ], + [ + 525, + 854 + ], + [ + 4881, + 9048 + ], + [ + 4540, + 8755 + ], + [ + 8451, + 9917 + ], + [ + 3793, + 11184 + ], + [ + 1544, + 9878 + ], + [ + 2265, + 3222 + ], + [ + 608, + 5992 + ], + [ + 7242, + 8316 + ], + [ + 81, + 6475 + ], + [ + 10848, + 11094 + ], + [ + 4031, + 7565 + ], + [ + 447, + 4354 + ], + [ + 9760, + 9820 + ], + [ + 4273, + 7098 + ], + [ + 1692, + 6743 + ], + [ + 816, + 9324 + ], + [ + 7082, + 9532 + ], + [ + 2326, + 10264 + ], + [ + 6361, + 7520 + ], + [ + 2565, + 10280 + ], + [ + 4865, + 10393 + ], + [ + 1350, + 6979 + ], + [ + 5928, + 7638 + ], + [ + 3275, + 5717 + ], + [ + 1162, + 7682 + ], + [ + 635, + 10417 + ], + [ + 656, + 4878 + ], + [ + 3930, + 9361 + ], + [ + 10062, + 10535 + ], + [ + 5332, + 6072 + ], + [ + 8599, + 9384 + ], + [ + 4022, + 5917 + ], + [ + 3683, + 6451 + ], + [ + 4488, + 5158 + ], + [ + 123, + 5546 + ], + [ + 155, + 9965 + ], + [ + 2395, + 7775 + ], + [ + 2106, + 7672 + ], + [ + 6249, + 8403 + ], + [ + 1340, + 2477 + ], + [ + 5665, + 9106 + ], + [ + 5787, + 10035 + ], + [ + 647, + 7394 + ], + [ + 3725, + 8555 + ], + [ + 2075, + 5326 + ], + [ + 4538, + 4871 + ], + [ + 6093, + 10492 + ], + [ + 1167, + 6871 + ], + [ + 1506, + 6337 + ], + [ + 4133, + 7037 + ], + [ + 1954, + 10634 + ], + [ + 4583, + 7273 + ], + [ + 1730, + 8674 + ], + [ + 2910, + 3094 + ], + [ + 3524, + 10901 + ], + [ + 1850, + 3114 + ], + [ + 535, + 9031 + ], + [ + 1347, + 2493 + ], + [ + 10, + 3925 + ], + [ + 7604, + 10529 + ], + [ + 4429, + 10189 + ], + [ + 9809, + 11536 + ], + [ + 1256, + 5758 + ], + [ + 2618, + 5322 + ], + [ + 1646, + 1779 + ], + [ + 3204, + 9583 + ], + [ + 5282, + 10815 + ], + [ + 862, + 5080 + ], + [ + 7157, + 10190 + ], + [ + 4569, + 8664 + ], + [ + 935, + 3838 + ], + [ + 1238, + 1395 + ], + [ + 307, + 4269 + ], + [ + 3670, + 7289 + ], + [ + 453, + 3340 + ], + [ + 1791, + 11178 + ], + [ + 4341, + 9968 + ], + [ + 669, + 8068 + ], + [ + 3631, + 11498 + ], + [ + 3483, + 4430 + ], + [ + 4032, + 5426 + ], + [ + 276, + 1169 + ], + [ + 365, + 11040 + ], + [ + 1423, + 3777 + ], + [ + 3009, + 8711 + ], + [ + 103, + 2180 + ], + [ + 5772, + 8548 + ], + [ + 3339, + 11097 + ], + [ + 9378, + 11326 + ], + [ + 7509, + 9487 + ], + [ + 5140, + 7325 + ], + [ + 971, + 5373 + ], + [ + 3376, + 7192 + ], + [ + 2562, + 4989 + ], + [ + 2930, + 9357 + ], + [ + 4673, + 8613 + ], + [ + 2620, + 8377 + ], + [ + 319, + 11045 + ], + [ + 2117, + 10008 + ], + [ + 4548, + 6632 + ], + [ + 1879, + 4178 + ], + [ + 4083, + 8747 + ], + [ + 6602, + 7470 + ], + [ + 4298, + 10621 + ], + [ + 5612, + 6731 + ], + [ + 4566, + 4959 + ], + [ + 925, + 4624 + ], + [ + 653, + 7134 + ], + [ + 765, + 959 + ], + [ + 2459, + 10122 + ], + [ + 9334, + 11377 + ], + [ + 988, + 2694 + ], + [ + 3673, + 7536 + ], + [ + 1364, + 5425 + ], + [ + 9669, + 11101 + ], + [ + 2857, + 10168 + ], + [ + 2015, + 10081 + ], + [ + 2287, + 8325 + ], + [ + 6218, + 10863 + ], + [ + 330, + 3633 + ], + [ + 3573, + 6551 + ], + [ + 2749, + 10076 + ], + [ + 4526, + 8162 + ], + [ + 1941, + 3901 + ], + [ + 6762, + 8482 + ], + [ + 2684, + 8146 + ], + [ + 3969, + 10688 + ], + [ + 7546, + 8564 + ], + [ + 2718, + 7730 + ], + [ + 6955, + 11506 + ], + [ + 9063, + 9197 + ], + [ + 7005, + 10869 + ], + [ + 5114, + 5299 + ], + [ + 198, + 8782 + ], + [ + 2839, + 9188 + ], + [ + 814, + 6836 + ], + [ + 442, + 11394 + ], + [ + 8257, + 11019 + ], + [ + 1037, + 6319 + ], + [ + 2181, + 10908 + ], + [ + 2406, + 9306 + ], + [ + 1845, + 10959 + ], + [ + 1501, + 4733 + ], + [ + 3741, + 4041 + ], + [ + 5196, + 10966 + ], + [ + 3453, + 7546 + ], + [ + 4022, + 9918 + ], + [ + 1339, + 9286 + ], + [ + 837, + 1720 + ], + [ + 5035, + 9328 + ], + [ + 28, + 6277 + ], + [ + 7022, + 8944 + ], + [ + 2514, + 2608 + ], + [ + 4231, + 4807 + ], + [ + 1613, + 5324 + ], + [ + 10890, + 11133 + ], + [ + 980, + 1247 + ], + [ + 2315, + 2398 + ], + [ + 1640, + 2983 + ], + [ + 4786, + 8974 + ], + [ + 3869, + 8548 + ], + [ + 4815, + 7460 + ], + [ + 1942, + 3321 + ], + [ + 641, + 11580 + ], + [ + 5388, + 6598 + ], + [ + 2903, + 8957 + ], + [ + 485, + 10286 + ], + [ + 414, + 5158 + ], + [ + 2183, + 6766 + ], + [ + 3989, + 7502 + ], + [ + 2965, + 10185 + ], + [ + 6067, + 8734 + ], + [ + 5814, + 9042 + ], + [ + 9678, + 10358 + ], + [ + 2080, + 2100 + ], + [ + 712, + 9137 + ], + [ + 7307, + 7369 + ], + [ + 345, + 7623 + ], + [ + 803, + 2085 + ], + [ + 4624, + 6737 + ], + [ + 2198, + 4041 + ], + [ + 2141, + 3507 + ], + [ + 240, + 2911 + ], + [ + 4971, + 10982 + ], + [ + 7865, + 9582 + ], + [ + 8331, + 10321 + ], + [ + 2861, + 6048 + ], + [ + 5404, + 10083 + ], + [ + 9638, + 10178 + ], + [ + 560, + 7962 + ], + [ + 930, + 7495 + ], + [ + 116, + 4538 + ], + [ + 2413, + 5134 + ], + [ + 1860, + 10812 + ], + [ + 1452, + 9297 + ], + [ + 4721, + 7020 + ], + [ + 407, + 3963 + ], + [ + 2375, + 5781 + ], + [ + 67, + 6524 + ], + [ + 7412, + 10172 + ], + [ + 2655, + 11433 + ], + [ + 2906, + 8800 + ], + [ + 3336, + 7630 + ], + [ + 2558, + 11500 + ], + [ + 3293, + 4550 + ], + [ + 5231, + 8411 + ], + [ + 5909, + 7343 + ], + [ + 2980, + 9688 + ], + [ + 3756, + 9909 + ], + [ + 5951, + 10198 + ], + [ + 5438, + 8889 + ], + [ + 7710, + 11118 + ], + [ + 4697, + 11106 + ], + [ + 4837, + 6979 + ], + [ + 3169, + 9560 + ], + [ + 3845, + 5413 + ], + [ + 276, + 7398 + ], + [ + 481, + 8584 + ], + [ + 2696, + 10279 + ], + [ + 757, + 7701 + ], + [ + 4557, + 5060 + ], + [ + 6585, + 6929 + ], + [ + 4554, + 4762 + ], + [ + 3112, + 8652 + ], + [ + 8791, + 11544 + ], + [ + 379, + 10909 + ], + [ + 71, + 6592 + ], + [ + 245, + 1295 + ], + [ + 2645, + 3524 + ], + [ + 2423, + 4643 + ], + [ + 6251, + 6302 + ], + [ + 5573, + 7370 + ], + [ + 1932, + 7789 + ], + [ + 4452, + 10120 + ], + [ + 496, + 8461 + ], + [ + 3856, + 6302 + ], + [ + 3104, + 10639 + ], + [ + 3412, + 5130 + ], + [ + 4876, + 9135 + ], + [ + 2479, + 11341 + ], + [ + 6149, + 9408 + ], + [ + 1326, + 8918 + ], + [ + 772, + 1162 + ], + [ + 708, + 10037 + ], + [ + 5844, + 8772 + ], + [ + 1196, + 6593 + ], + [ + 260, + 2707 + ], + [ + 6773, + 9208 + ], + [ + 794, + 1860 + ], + [ + 1671, + 8549 + ], + [ + 916, + 7707 + ], + [ + 4718, + 8145 + ], + [ + 8694, + 10456 + ], + [ + 7284, + 10097 + ], + [ + 4744, + 6333 + ], + [ + 1877, + 9556 + ], + [ + 4145, + 5250 + ], + [ + 6851, + 10215 + ], + [ + 4836, + 9305 + ], + [ + 3299, + 9925 + ], + [ + 7040, + 10087 + ], + [ + 1498, + 3494 + ], + [ + 4036, + 7185 + ], + [ + 6620, + 11221 + ], + [ + 3211, + 11209 + ], + [ + 116, + 8189 + ], + [ + 6031, + 10826 + ], + [ + 7156, + 11201 + ], + [ + 7032, + 9445 + ], + [ + 8427, + 11401 + ], + [ + 6875, + 9461 + ], + [ + 3509, + 11051 + ], + [ + 3068, + 7144 + ], + [ + 4067, + 9100 + ], + [ + 3071, + 5163 + ], + [ + 4650, + 8926 + ], + [ + 1042, + 5321 + ], + [ + 5219, + 11298 + ], + [ + 2504, + 8499 + ], + [ + 349, + 10238 + ], + [ + 982, + 4489 + ], + [ + 2615, + 9269 + ], + [ + 4215, + 6719 + ], + [ + 5307, + 11118 + ], + [ + 2000, + 9905 + ], + [ + 5357, + 10481 + ], + [ + 842, + 7138 + ], + [ + 7870, + 9389 + ], + [ + 2050, + 6235 + ], + [ + 7442, + 9851 + ], + [ + 2306, + 8864 + ], + [ + 9181, + 9365 + ], + [ + 7063, + 10986 + ], + [ + 186, + 2488 + ], + [ + 910, + 8935 + ], + [ + 3551, + 7089 + ], + [ + 5500, + 6221 + ], + [ + 9641, + 10289 + ], + [ + 8713, + 11182 + ], + [ + 1244, + 5024 + ], + [ + 6872, + 10637 + ], + [ + 1073, + 9114 + ], + [ + 10916, + 11362 + ], + [ + 548, + 4008 + ], + [ + 3062, + 3141 + ], + [ + 5496, + 5698 + ], + [ + 6888, + 8137 + ], + [ + 8202, + 11417 + ], + [ + 4972, + 10616 + ], + [ + 2531, + 2724 + ], + [ + 8384, + 10899 + ], + [ + 1383, + 4809 + ], + [ + 1099, + 5050 + ], + [ + 204, + 3417 + ], + [ + 4891, + 11216 + ], + [ + 2413, + 8330 + ], + [ + 1327, + 7129 + ], + [ + 2000, + 5717 + ], + [ + 5368, + 7583 + ], + [ + 7542, + 9277 + ], + [ + 818, + 8191 + ], + [ + 353, + 10306 + ], + [ + 2244, + 6427 + ], + [ + 6402, + 10472 + ], + [ + 2448, + 10394 + ], + [ + 3263, + 9789 + ], + [ + 923, + 8365 + ], + [ + 5216, + 5657 + ], + [ + 10539, + 11388 + ], + [ + 3627, + 10251 + ], + [ + 3474, + 3593 + ], + [ + 681, + 5045 + ], + [ + 452, + 3495 + ], + [ + 2353, + 3337 + ], + [ + 512, + 3546 + ], + [ + 5090, + 10621 + ], + [ + 6246, + 10309 + ], + [ + 1630, + 6914 + ], + [ + 3526, + 7166 + ], + [ + 2753, + 10626 + ], + [ + 1194, + 3351 + ], + [ + 4717, + 8538 + ], + [ + 7012, + 8307 + ], + [ + 2, + 5137 + ], + [ + 258, + 9264 + ], + [ + 3341, + 4353 + ], + [ + 2773, + 11251 + ], + [ + 5636, + 7532 + ], + [ + 1801, + 4702 + ], + [ + 8538, + 10911 + ], + [ + 6790, + 7147 + ], + [ + 1957, + 5215 + ], + [ + 4104, + 9250 + ], + [ + 6853, + 10879 + ], + [ + 9962, + 11353 + ], + [ + 960, + 9721 + ], + [ + 4012, + 9661 + ], + [ + 6068, + 7162 + ], + [ + 925, + 10666 + ], + [ + 3146, + 10678 + ], + [ + 5013, + 5274 + ], + [ + 283, + 811 + ], + [ + 6876, + 9550 + ], + [ + 7657, + 10115 + ], + [ + 5164, + 5443 + ], + [ + 2273, + 11278 + ], + [ + 1460, + 11175 + ], + [ + 8617, + 9110 + ], + [ + 3140, + 10082 + ], + [ + 8763, + 8935 + ], + [ + 9723, + 10963 + ], + [ + 2233, + 4682 + ], + [ + 1259, + 10892 + ], + [ + 1701, + 11237 + ], + [ + 4898, + 9646 + ], + [ + 1912, + 5041 + ], + [ + 769, + 10476 + ], + [ + 1910, + 1962 + ], + [ + 1202, + 6571 + ], + [ + 5016, + 10806 + ], + [ + 4858, + 7214 + ], + [ + 1599, + 3763 + ], + [ + 682, + 4091 + ], + [ + 9585, + 11379 + ], + [ + 8747, + 10280 + ], + [ + 6510, + 10489 + ], + [ + 2002, + 8317 + ], + [ + 7377, + 10074 + ], + [ + 5355, + 11403 + ], + [ + 1329, + 4841 + ], + [ + 250, + 1401 + ], + [ + 155, + 3793 + ], + [ + 7557, + 8729 + ], + [ + 1991, + 3994 + ], + [ + 8926, + 9464 + ], + [ + 6568, + 10844 + ], + [ + 957, + 6366 + ], + [ + 55, + 1310 + ], + [ + 4104, + 8795 + ], + [ + 3319, + 10740 + ], + [ + 7206, + 7344 + ], + [ + 1318, + 6530 + ], + [ + 5151, + 7035 + ], + [ + 1130, + 7233 + ], + [ + 3313, + 10925 + ], + [ + 9443, + 11272 + ], + [ + 3068, + 3924 + ], + [ + 3066, + 7261 + ], + [ + 2873, + 9872 + ], + [ + 7797, + 11168 + ], + [ + 5240, + 8955 + ], + [ + 779, + 3219 + ], + [ + 2561, + 5813 + ], + [ + 4840, + 11465 + ], + [ + 2679, + 10006 + ], + [ + 623, + 6089 + ], + [ + 5793, + 10824 + ], + [ + 2394, + 10776 + ], + [ + 1058, + 9400 + ], + [ + 1486, + 7403 + ], + [ + 5338, + 5706 + ], + [ + 3921, + 4900 + ], + [ + 643, + 2927 + ], + [ + 5691, + 6733 + ], + [ + 4033, + 9278 + ], + [ + 943, + 6602 + ], + [ + 1206, + 5484 + ], + [ + 2837, + 3775 + ], + [ + 1627, + 7234 + ], + [ + 1563, + 9693 + ], + [ + 2215, + 7404 + ], + [ + 6358, + 8135 + ], + [ + 2493, + 9600 + ], + [ + 2226, + 5284 + ], + [ + 1875, + 4303 + ], + [ + 283, + 4462 + ], + [ + 1463, + 3046 + ], + [ + 382, + 8605 + ], + [ + 5604, + 9366 + ], + [ + 4017, + 10623 + ], + [ + 1210, + 8235 + ], + [ + 9147, + 9543 + ], + [ + 2858, + 8385 + ], + [ + 1889, + 7769 + ], + [ + 6064, + 7257 + ], + [ + 3034, + 9550 + ], + [ + 7612, + 10209 + ], + [ + 3807, + 8719 + ], + [ + 3652, + 5398 + ], + [ + 2669, + 8082 + ], + [ + 3099, + 6912 + ], + [ + 4374, + 8766 + ], + [ + 816, + 3770 + ], + [ + 5116, + 8622 + ], + [ + 3456, + 4705 + ], + [ + 9037, + 10472 + ], + [ + 6663, + 7966 + ], + [ + 1095, + 6568 + ], + [ + 2037, + 7990 + ], + [ + 2813, + 8211 + ], + [ + 6352, + 9767 + ], + [ + 9461, + 9487 + ], + [ + 3432, + 3530 + ], + [ + 3425, + 8775 + ], + [ + 1245, + 3102 + ], + [ + 4194, + 5573 + ], + [ + 3775, + 10285 + ], + [ + 2588, + 2616 + ], + [ + 287, + 10946 + ], + [ + 1397, + 3873 + ], + [ + 5218, + 8525 + ], + [ + 340, + 8328 + ], + [ + 1651, + 4921 + ], + [ + 737, + 4766 + ], + [ + 6903, + 7022 + ], + [ + 5445, + 11133 + ], + [ + 4597, + 9346 + ], + [ + 3814, + 5702 + ], + [ + 701, + 8492 + ], + [ + 2392, + 5306 + ], + [ + 9140, + 10950 + ], + [ + 140, + 3729 + ], + [ + 2134, + 6768 + ], + [ + 2686, + 5029 + ], + [ + 7486, + 10985 + ], + [ + 542, + 1265 + ], + [ + 1266, + 4706 + ], + [ + 3251, + 10665 + ], + [ + 203, + 5182 + ], + [ + 4621, + 7838 + ], + [ + 4242, + 11225 + ], + [ + 7884, + 7998 + ], + [ + 2686, + 5379 + ], + [ + 6600, + 6812 + ], + [ + 9523, + 10314 + ], + [ + 5882, + 9979 + ], + [ + 4481, + 10460 + ], + [ + 2423, + 3464 + ], + [ + 210, + 8231 + ], + [ + 4917, + 10990 + ], + [ + 839, + 10654 + ], + [ + 1020, + 7282 + ], + [ + 829, + 3550 + ], + [ + 4452, + 8941 + ], + [ + 8024, + 10637 + ], + [ + 7225, + 8712 + ], + [ + 3975, + 8787 + ], + [ + 173, + 1933 + ], + [ + 2729, + 10337 + ], + [ + 7206, + 10190 + ], + [ + 6588, + 11309 + ], + [ + 1801, + 10476 + ], + [ + 180, + 8739 + ], + [ + 3948, + 8095 + ], + [ + 9051, + 10854 + ], + [ + 6458, + 9738 + ], + [ + 7917, + 9235 + ], + [ + 10124, + 10315 + ], + [ + 7570, + 8373 + ], + [ + 414, + 7630 + ], + [ + 6367, + 6587 + ], + [ + 4037, + 10015 + ], + [ + 4925, + 10477 + ], + [ + 4283, + 7038 + ], + [ + 4954, + 9717 + ], + [ + 3956, + 10615 + ], + [ + 2340, + 6970 + ], + [ + 7670, + 8954 + ], + [ + 3267, + 6606 + ], + [ + 3953, + 10317 + ], + [ + 2554, + 10871 + ], + [ + 5076, + 7613 + ], + [ + 3173, + 6944 + ], + [ + 616, + 4731 + ], + [ + 7560, + 8035 + ], + [ + 736, + 3335 + ], + [ + 958, + 11261 + ], + [ + 3535, + 7710 + ], + [ + 369, + 5204 + ], + [ + 4978, + 7428 + ], + [ + 771, + 8402 + ], + [ + 10289, + 10890 + ], + [ + 3443, + 8875 + ], + [ + 3572, + 4559 + ], + [ + 337, + 5666 + ], + [ + 1206, + 1914 + ], + [ + 6612, + 9400 + ], + [ + 643, + 2740 + ], + [ + 1073, + 8740 + ], + [ + 607, + 831 + ], + [ + 1099, + 1293 + ], + [ + 1322, + 3028 + ], + [ + 3257, + 8870 + ], + [ + 4716, + 6115 + ], + [ + 4401, + 7043 + ], + [ + 9103, + 9458 + ], + [ + 6178, + 9293 + ], + [ + 913, + 7704 + ], + [ + 3972, + 4651 + ], + [ + 4211, + 4667 + ], + [ + 129, + 6841 + ], + [ + 1409, + 2623 + ], + [ + 533, + 5204 + ], + [ + 999, + 4445 + ], + [ + 4894, + 7326 + ], + [ + 4507, + 10852 + ], + [ + 4080, + 11539 + ], + [ + 1212, + 5492 + ], + [ + 7932, + 9088 + ], + [ + 3481, + 4040 + ], + [ + 2116, + 3424 + ], + [ + 1026, + 5487 + ], + [ + 2795, + 3712 + ], + [ + 6246, + 9585 + ], + [ + 4518, + 11361 + ], + [ + 828, + 5502 + ], + [ + 1304, + 5431 + ], + [ + 481, + 11056 + ], + [ + 2447, + 5631 + ], + [ + 4245, + 8758 + ], + [ + 487, + 8592 + ], + [ + 7636, + 8164 + ], + [ + 2176, + 10995 + ], + [ + 3062, + 8378 + ], + [ + 1823, + 6935 + ], + [ + 1009, + 10394 + ], + [ + 4849, + 7152 + ], + [ + 2509, + 9892 + ], + [ + 10348, + 10665 + ], + [ + 4873, + 5294 + ], + [ + 3093, + 6910 + ], + [ + 266, + 3116 + ], + [ + 543, + 1704 + ], + [ + 7222, + 9463 + ], + [ + 1401, + 9871 + ], + [ + 6922, + 9171 + ], + [ + 387, + 10990 + ], + [ + 843, + 5379 + ], + [ + 5170, + 8671 + ], + [ + 7510, + 10095 + ], + [ + 2059, + 5118 + ], + [ + 5722, + 6932 + ], + [ + 4882, + 5006 + ], + [ + 1807, + 8280 + ], + [ + 1468, + 2398 + ], + [ + 4324, + 4678 + ], + [ + 1120, + 11514 + ], + [ + 8181, + 11239 + ], + [ + 1588, + 6664 + ], + [ + 2766, + 10837 + ], + [ + 1025, + 1828 + ], + [ + 467, + 2998 + ], + [ + 9959, + 10681 + ], + [ + 2392, + 8152 + ], + [ + 4064, + 6444 + ], + [ + 7398, + 10978 + ], + [ + 10851, + 11262 + ], + [ + 2291, + 10729 + ], + [ + 2348, + 4847 + ], + [ + 2695, + 9092 + ], + [ + 2196, + 7459 + ], + [ + 2015, + 9333 + ], + [ + 1537, + 2161 + ], + [ + 4212, + 5561 + ], + [ + 1076, + 4395 + ], + [ + 384, + 9537 + ], + [ + 821, + 10292 + ], + [ + 6614, + 7082 + ], + [ + 2880, + 11474 + ], + [ + 1132, + 7710 + ], + [ + 170, + 9019 + ], + [ + 10469, + 11318 + ], + [ + 4084, + 9698 + ], + [ + 7969, + 9639 + ], + [ + 10992, + 11093 + ], + [ + 3063, + 7394 + ], + [ + 599, + 8378 + ], + [ + 6486, + 11219 + ], + [ + 564, + 5159 + ], + [ + 6032, + 7107 + ], + [ + 5225, + 5321 + ], + [ + 7931, + 10286 + ], + [ + 2205, + 4138 + ], + [ + 2743, + 11361 + ], + [ + 214, + 11196 + ], + [ + 7189, + 9649 + ], + [ + 1153, + 2521 + ], + [ + 11108, + 11426 + ], + [ + 1645, + 2229 + ], + [ + 3608, + 10119 + ], + [ + 6130, + 6861 + ], + [ + 2269, + 2810 + ], + [ + 3229, + 4838 + ], + [ + 176, + 7679 + ], + [ + 5188, + 8822 + ], + [ + 5229, + 5413 + ], + [ + 1425, + 8312 + ], + [ + 8081, + 10203 + ], + [ + 1517, + 4114 + ], + [ + 3184, + 4314 + ], + [ + 2256, + 10869 + ], + [ + 5991, + 10085 + ], + [ + 5683, + 5768 + ], + [ + 3868, + 4946 + ], + [ + 4425, + 5803 + ], + [ + 8480, + 10851 + ], + [ + 4579, + 9653 + ], + [ + 761, + 2266 + ], + [ + 5167, + 9823 + ], + [ + 1039, + 10878 + ], + [ + 814, + 1900 + ], + [ + 5510, + 10162 + ], + [ + 6475, + 6872 + ], + [ + 1869, + 4165 + ], + [ + 2557, + 8703 + ], + [ + 586, + 5833 + ], + [ + 2805, + 11434 + ], + [ + 864, + 8029 + ], + [ + 2010, + 7029 + ], + [ + 360, + 3800 + ], + [ + 3857, + 10018 + ], + [ + 839, + 9662 + ], + [ + 2606, + 7060 + ], + [ + 2475, + 8297 + ], + [ + 6282, + 6827 + ], + [ + 9112, + 10138 + ], + [ + 3478, + 10372 + ], + [ + 9, + 5421 + ], + [ + 853, + 7466 + ], + [ + 1777, + 3421 + ], + [ + 5388, + 11461 + ], + [ + 3301, + 8231 + ], + [ + 3808, + 9725 + ], + [ + 1910, + 6394 + ], + [ + 6987, + 10938 + ], + [ + 69, + 6603 + ], + [ + 306, + 5792 + ], + [ + 3117, + 9053 + ], + [ + 7807, + 9953 + ], + [ + 1931, + 10654 + ], + [ + 3482, + 6707 + ], + [ + 2205, + 8944 + ], + [ + 873, + 11474 + ], + [ + 7998, + 10652 + ], + [ + 3922, + 11143 + ], + [ + 563, + 10494 + ], + [ + 527, + 1415 + ], + [ + 5917, + 10620 + ], + [ + 8589, + 10339 + ], + [ + 8362, + 11114 + ], + [ + 1796, + 7204 + ], + [ + 2238, + 8303 + ], + [ + 1734, + 4074 + ], + [ + 1639, + 7220 + ], + [ + 2112, + 3468 + ], + [ + 2545, + 5979 + ], + [ + 1198, + 3313 + ], + [ + 731, + 4601 + ], + [ + 82, + 10571 + ], + [ + 9856, + 10016 + ], + [ + 2731, + 8586 + ], + [ + 9339, + 11217 + ], + [ + 7637, + 7798 + ], + [ + 4419, + 10794 + ], + [ + 9183, + 9923 + ], + [ + 725, + 999 + ], + [ + 3560, + 8818 + ], + [ + 902, + 2389 + ], + [ + 3587, + 6477 + ], + [ + 380, + 3216 + ], + [ + 10496, + 10726 + ], + [ + 937, + 2575 + ], + [ + 2609, + 8781 + ], + [ + 96, + 424 + ], + [ + 1548, + 10084 + ], + [ + 5720, + 9301 + ], + [ + 8342, + 9657 + ], + [ + 1898, + 10840 + ], + [ + 1234, + 5198 + ], + [ + 1509, + 7123 + ], + [ + 7737, + 11011 + ], + [ + 3413, + 11400 + ], + [ + 1645, + 3197 + ], + [ + 2099, + 7339 + ], + [ + 4072, + 9501 + ], + [ + 4160, + 9348 + ], + [ + 4771, + 7058 + ], + [ + 7799, + 8856 + ], + [ + 1639, + 9798 + ], + [ + 2344, + 4891 + ], + [ + 5391, + 5985 + ], + [ + 697, + 7595 + ], + [ + 4580, + 7463 + ], + [ + 447, + 1004 + ], + [ + 2811, + 2822 + ], + [ + 980, + 7883 + ], + [ + 2188, + 3597 + ], + [ + 345, + 7143 + ], + [ + 720, + 6266 + ], + [ + 441, + 6851 + ], + [ + 964, + 8878 + ], + [ + 379, + 5973 + ], + [ + 2829, + 6811 + ], + [ + 3577, + 11400 + ], + [ + 3265, + 9593 + ], + [ + 4447, + 10502 + ], + [ + 5756, + 11186 + ], + [ + 8176, + 9903 + ], + [ + 3298, + 8952 + ], + [ + 9170, + 11515 + ], + [ + 398, + 10537 + ], + [ + 8899, + 9709 + ], + [ + 5752, + 10663 + ], + [ + 396, + 3294 + ], + [ + 4635, + 10903 + ], + [ + 9831, + 10443 + ], + [ + 7615, + 8523 + ], + [ + 1541, + 11491 + ], + [ + 2205, + 4301 + ], + [ + 5051, + 5893 + ], + [ + 1793, + 9460 + ], + [ + 788, + 3525 + ], + [ + 1223, + 2699 + ], + [ + 1945, + 6067 + ], + [ + 1286, + 7185 + ], + [ + 1749, + 1991 + ], + [ + 2037, + 9039 + ], + [ + 8467, + 9678 + ], + [ + 4432, + 10170 + ], + [ + 201, + 3176 + ], + [ + 10187, + 11394 + ], + [ + 2654, + 7695 + ], + [ + 4858, + 5848 + ], + [ + 9179, + 10823 + ], + [ + 5, + 6647 + ], + [ + 65, + 6698 + ], + [ + 2460, + 4419 + ], + [ + 2891, + 4605 + ], + [ + 2490, + 3507 + ], + [ + 867, + 11523 + ], + [ + 5005, + 5494 + ], + [ + 7399, + 9406 + ], + [ + 9018, + 10316 + ], + [ + 3906, + 9723 + ], + [ + 6218, + 11351 + ], + [ + 1170, + 6047 + ], + [ + 4339, + 8824 + ], + [ + 6271, + 8733 + ], + [ + 1353, + 10635 + ], + [ + 1472, + 5631 + ], + [ + 3937, + 8255 + ], + [ + 1726, + 7433 + ], + [ + 5523, + 7527 + ], + [ + 230, + 10306 + ], + [ + 1133, + 9548 + ], + [ + 534, + 10717 + ], + [ + 9534, + 11522 + ], + [ + 2132, + 11504 + ], + [ + 3684, + 11192 + ], + [ + 8969, + 10023 + ], + [ + 536, + 8511 + ], + [ + 8898, + 11311 + ], + [ + 7716, + 10402 + ], + [ + 11231, + 11564 + ], + [ + 4168, + 6848 + ], + [ + 4412, + 7208 + ], + [ + 3538, + 4200 + ], + [ + 4260, + 9820 + ], + [ + 1125, + 5873 + ], + [ + 281, + 11375 + ], + [ + 1702, + 8136 + ], + [ + 1630, + 2783 + ], + [ + 4770, + 4822 + ], + [ + 1767, + 5498 + ], + [ + 2414, + 2865 + ], + [ + 208, + 8803 + ], + [ + 2598, + 5426 + ], + [ + 6209, + 6296 + ], + [ + 10100, + 10189 + ], + [ + 3037, + 9637 + ], + [ + 296, + 7869 + ], + [ + 7168, + 8853 + ], + [ + 255, + 1452 + ], + [ + 2909, + 10391 + ], + [ + 1133, + 8743 + ], + [ + 197, + 11273 + ], + [ + 2867, + 10165 + ], + [ + 4618, + 7784 + ], + [ + 623, + 6951 + ], + [ + 1965, + 5863 + ], + [ + 0, + 3562 + ], + [ + 1438, + 6346 + ], + [ + 595, + 4903 + ], + [ + 156, + 8239 + ], + [ + 1801, + 3954 + ], + [ + 10512, + 11072 + ], + [ + 5691, + 7245 + ], + [ + 6570, + 8345 + ], + [ + 5629, + 6367 + ], + [ + 1585, + 9025 + ], + [ + 1117, + 7459 + ], + [ + 5881, + 10752 + ], + [ + 1620, + 11463 + ], + [ + 10266, + 11016 + ], + [ + 2446, + 4631 + ], + [ + 806, + 2090 + ], + [ + 3357, + 10150 + ], + [ + 9771, + 10256 + ], + [ + 363, + 7936 + ], + [ + 5530, + 6738 + ], + [ + 1610, + 7742 + ], + [ + 4103, + 5244 + ], + [ + 82, + 6196 + ], + [ + 1888, + 2768 + ], + [ + 7020, + 11183 + ], + [ + 6618, + 10614 + ], + [ + 1578, + 11587 + ], + [ + 3899, + 10325 + ], + [ + 1124, + 3311 + ], + [ + 6938, + 8525 + ], + [ + 3708, + 9976 + ], + [ + 4150, + 11075 + ], + [ + 6041, + 10229 + ], + [ + 4319, + 5434 + ], + [ + 119, + 4169 + ], + [ + 3701, + 7307 + ], + [ + 1675, + 6982 + ], + [ + 307, + 7603 + ], + [ + 7244, + 8982 + ], + [ + 1514, + 9508 + ], + [ + 7092, + 9342 + ], + [ + 4917, + 10429 + ], + [ + 327, + 1839 + ], + [ + 3857, + 4033 + ], + [ + 4196, + 4253 + ], + [ + 2415, + 8677 + ], + [ + 2948, + 4976 + ], + [ + 3732, + 9222 + ], + [ + 709, + 1352 + ], + [ + 330, + 4739 + ], + [ + 8579, + 11237 + ], + [ + 2319, + 8565 + ], + [ + 6359, + 8417 + ], + [ + 8138, + 10713 + ], + [ + 7047, + 9168 + ], + [ + 225, + 7547 + ], + [ + 598, + 3591 + ], + [ + 6169, + 9424 + ], + [ + 3830, + 10854 + ], + [ + 7562, + 10553 + ], + [ + 9032, + 11340 + ], + [ + 2267, + 10253 + ], + [ + 249, + 2656 + ], + [ + 3038, + 3714 + ], + [ + 2760, + 7153 + ], + [ + 8243, + 10133 + ], + [ + 2013, + 6172 + ], + [ + 209, + 8892 + ], + [ + 582, + 5690 + ], + [ + 1760, + 9109 + ], + [ + 8637, + 11191 + ], + [ + 7016, + 8700 + ], + [ + 4683, + 6195 + ], + [ + 3434, + 4064 + ], + [ + 1477, + 6542 + ], + [ + 1487, + 7230 + ], + [ + 5702, + 8803 + ], + [ + 2252, + 6538 + ], + [ + 660, + 9703 + ], + [ + 1969, + 9633 + ], + [ + 4233, + 7837 + ], + [ + 1970, + 6825 + ], + [ + 2030, + 6876 + ], + [ + 5535, + 7350 + ], + [ + 3019, + 8144 + ], + [ + 7931, + 11335 + ], + [ + 5792, + 7915 + ], + [ + 904, + 7030 + ], + [ + 1339, + 6204 + ], + [ + 191, + 4879 + ], + [ + 4580, + 9049 + ], + [ + 1485, + 9412 + ], + [ + 5155, + 7479 + ], + [ + 2035, + 6846 + ], + [ + 1959, + 2098 + ], + [ + 3879, + 6908 + ], + [ + 5036, + 9450 + ], + [ + 4131, + 11293 + ], + [ + 222, + 6070 + ], + [ + 605, + 11470 + ], + [ + 4187, + 8192 + ], + [ + 3283, + 8725 + ], + [ + 2753, + 9691 + ], + [ + 6765, + 7495 + ], + [ + 6015, + 6997 + ], + [ + 3188, + 3203 + ], + [ + 3967, + 9357 + ], + [ + 2193, + 10788 + ], + [ + 2310, + 11373 + ], + [ + 5230, + 8942 + ], + [ + 4243, + 7720 + ], + [ + 6228, + 10673 + ], + [ + 60, + 1174 + ], + [ + 7310, + 7968 + ], + [ + 9718, + 10058 + ], + [ + 2705, + 8869 + ], + [ + 8743, + 9627 + ], + [ + 1052, + 5342 + ], + [ + 4935, + 5210 + ], + [ + 5998, + 8117 + ], + [ + 5055, + 9476 + ], + [ + 1825, + 10927 + ], + [ + 3198, + 9152 + ], + [ + 1235, + 1262 + ], + [ + 6377, + 10365 + ], + [ + 3960, + 4779 + ], + [ + 6425, + 7403 + ], + [ + 5371, + 11375 + ], + [ + 3191, + 11364 + ], + [ + 6897, + 9842 + ], + [ + 329, + 9269 + ], + [ + 5742, + 6592 + ], + [ + 6521, + 10494 + ], + [ + 8818, + 11090 + ], + [ + 2839, + 10912 + ], + [ + 5927, + 9755 + ], + [ + 5366, + 7998 + ], + [ + 230, + 8509 + ], + [ + 5505, + 10062 + ], + [ + 371, + 1574 + ], + [ + 2994, + 4784 + ], + [ + 650, + 10034 + ], + [ + 901, + 985 + ], + [ + 4641, + 11125 + ], + [ + 4039, + 6361 + ], + [ + 3014, + 8819 + ], + [ + 7547, + 9735 + ], + [ + 8670, + 9283 + ], + [ + 4322, + 5868 + ], + [ + 1581, + 7510 + ], + [ + 366, + 4209 + ], + [ + 101, + 9418 + ], + [ + 16, + 6836 + ], + [ + 3025, + 9358 + ], + [ + 4752, + 8081 + ], + [ + 2189, + 2670 + ], + [ + 8790, + 11270 + ], + [ + 1030, + 9100 + ], + [ + 6790, + 10668 + ], + [ + 4020, + 7408 + ], + [ + 3956, + 9867 + ], + [ + 4825, + 6115 + ], + [ + 4114, + 7043 + ], + [ + 2397, + 2592 + ], + [ + 3494, + 11499 + ], + [ + 1161, + 4830 + ], + [ + 774, + 8356 + ], + [ + 2486, + 6047 + ], + [ + 903, + 4040 + ], + [ + 999, + 10918 + ], + [ + 1558, + 8438 + ], + [ + 2957, + 7130 + ], + [ + 1004, + 11262 + ], + [ + 8753, + 9109 + ], + [ + 8653, + 11157 + ], + [ + 747, + 9162 + ], + [ + 7342, + 8148 + ], + [ + 6977, + 7461 + ], + [ + 1022, + 11087 + ], + [ + 318, + 354 + ], + [ + 1744, + 8039 + ], + [ + 5219, + 5638 + ], + [ + 518, + 6831 + ], + [ + 6722, + 9571 + ], + [ + 2357, + 9959 + ], + [ + 4636, + 9195 + ], + [ + 8516, + 8792 + ], + [ + 5092, + 7748 + ], + [ + 1976, + 10267 + ], + [ + 703, + 3578 + ], + [ + 5209, + 8333 + ], + [ + 5566, + 6850 + ], + [ + 1670, + 5996 + ], + [ + 954, + 10744 + ], + [ + 2191, + 11360 + ], + [ + 7989, + 9248 + ], + [ + 10105, + 10964 + ], + [ + 9009, + 9829 + ], + [ + 4062, + 6829 + ], + [ + 5115, + 5638 + ], + [ + 6412, + 10469 + ], + [ + 6360, + 10279 + ], + [ + 9803, + 9875 + ], + [ + 7, + 11580 + ], + [ + 6602, + 9812 + ], + [ + 3403, + 11330 + ], + [ + 2627, + 4693 + ], + [ + 4769, + 7630 + ], + [ + 745, + 1895 + ], + [ + 2864, + 10298 + ], + [ + 8339, + 9253 + ], + [ + 3953, + 8764 + ], + [ + 2356, + 9333 + ], + [ + 644, + 5226 + ], + [ + 3735, + 10756 + ], + [ + 8587, + 9732 + ], + [ + 1803, + 4431 + ], + [ + 10168, + 10912 + ], + [ + 6159, + 6209 + ], + [ + 4354, + 6075 + ], + [ + 2264, + 8963 + ], + [ + 1791, + 6299 + ], + [ + 299, + 10826 + ], + [ + 6118, + 9591 + ], + [ + 4965, + 7168 + ], + [ + 4621, + 7358 + ], + [ + 7590, + 11205 + ], + [ + 1269, + 1464 + ], + [ + 4438, + 8405 + ], + [ + 6401, + 9125 + ], + [ + 7958, + 9911 + ], + [ + 3166, + 10986 + ], + [ + 11041, + 11416 + ], + [ + 3883, + 6840 + ], + [ + 4313, + 6424 + ], + [ + 8234, + 8274 + ], + [ + 1130, + 1305 + ], + [ + 1821, + 5360 + ], + [ + 8914, + 11416 + ], + [ + 98, + 6756 + ], + [ + 6761, + 9818 + ], + [ + 1718, + 11274 + ], + [ + 1816, + 8399 + ], + [ + 3547, + 10304 + ], + [ + 9087, + 9654 + ], + [ + 256, + 11479 + ], + [ + 8367, + 10496 + ], + [ + 7467, + 8519 + ], + [ + 8432, + 10891 + ], + [ + 1467, + 10874 + ], + [ + 3986, + 10351 + ], + [ + 863, + 5283 + ], + [ + 1212, + 10355 + ], + [ + 2110, + 11505 + ], + [ + 2829, + 4022 + ], + [ + 2204, + 3970 + ], + [ + 932, + 10715 + ], + [ + 7065, + 11333 + ], + [ + 3940, + 9602 + ], + [ + 7620, + 9111 + ], + [ + 1638, + 3000 + ], + [ + 4119, + 5403 + ], + [ + 1048, + 11048 + ], + [ + 3578, + 11064 + ], + [ + 2998, + 8503 + ], + [ + 5725, + 7929 + ], + [ + 10772, + 11510 + ], + [ + 2773, + 9324 + ], + [ + 968, + 2774 + ], + [ + 6028, + 8869 + ], + [ + 2769, + 5418 + ], + [ + 10389, + 10991 + ], + [ + 5033, + 7786 + ], + [ + 308, + 3667 + ], + [ + 7897, + 9927 + ], + [ + 457, + 7173 + ], + [ + 3416, + 6168 + ], + [ + 4852, + 8125 + ], + [ + 5468, + 11097 + ], + [ + 5034, + 7607 + ], + [ + 3527, + 6938 + ], + [ + 4316, + 5112 + ], + [ + 3277, + 6763 + ], + [ + 890, + 9657 + ], + [ + 6045, + 6190 + ], + [ + 4434, + 9305 + ], + [ + 570, + 1573 + ], + [ + 2068, + 10824 + ], + [ + 3250, + 5317 + ], + [ + 3435, + 10732 + ], + [ + 231, + 4736 + ], + [ + 695, + 9566 + ], + [ + 4614, + 11343 + ], + [ + 6140, + 9810 + ], + [ + 1775, + 6034 + ], + [ + 129, + 10094 + ], + [ + 7901, + 9645 + ], + [ + 3481, + 3910 + ], + [ + 736, + 8816 + ], + [ + 7957, + 9954 + ], + [ + 8676, + 9641 + ], + [ + 835, + 1625 + ], + [ + 7397, + 8799 + ], + [ + 6743, + 10261 + ], + [ + 9699, + 9739 + ], + [ + 1648, + 11527 + ], + [ + 1982, + 10649 + ], + [ + 7622, + 11361 + ], + [ + 4592, + 9490 + ], + [ + 10946, + 11043 + ], + [ + 1326, + 2616 + ], + [ + 109, + 4904 + ], + [ + 7273, + 10426 + ], + [ + 2256, + 5933 + ], + [ + 6485, + 8690 + ], + [ + 5616, + 6026 + ], + [ + 4279, + 8212 + ], + [ + 3850, + 11482 + ], + [ + 5717, + 6832 + ], + [ + 5490, + 7607 + ], + [ + 6460, + 10323 + ], + [ + 240, + 11214 + ], + [ + 10106, + 11002 + ], + [ + 1668, + 9146 + ], + [ + 2038, + 3761 + ], + [ + 4001, + 5235 + ], + [ + 8011, + 10540 + ], + [ + 7290, + 10780 + ], + [ + 4031, + 11493 + ], + [ + 6261, + 10113 + ], + [ + 6431, + 8804 + ], + [ + 8157, + 10365 + ], + [ + 4112, + 6005 + ], + [ + 3157, + 4321 + ], + [ + 6049, + 6258 + ], + [ + 686, + 1882 + ], + [ + 5016, + 11107 + ], + [ + 3994, + 5195 + ], + [ + 6535, + 8403 + ], + [ + 2997, + 9701 + ], + [ + 1562, + 10598 + ], + [ + 122, + 8899 + ], + [ + 5046, + 10195 + ], + [ + 4975, + 11483 + ], + [ + 2932, + 8525 + ], + [ + 5229, + 9121 + ], + [ + 1018, + 6943 + ], + [ + 2325, + 6800 + ], + [ + 7089, + 10093 + ], + [ + 3532, + 8705 + ], + [ + 1923, + 6231 + ], + [ + 5627, + 10298 + ], + [ + 6735, + 8060 + ], + [ + 3316, + 7360 + ], + [ + 5838, + 10518 + ], + [ + 7698, + 8107 + ], + [ + 7293, + 10273 + ], + [ + 3556, + 3814 + ], + [ + 10472, + 11486 + ], + [ + 763, + 6020 + ], + [ + 6174, + 7434 + ], + [ + 1695, + 6754 + ], + [ + 4403, + 6130 + ], + [ + 6574, + 8307 + ], + [ + 1772, + 7940 + ], + [ + 1682, + 11430 + ], + [ + 306, + 856 + ], + [ + 2833, + 10774 + ], + [ + 2967, + 7556 + ], + [ + 3402, + 6730 + ], + [ + 1052, + 8001 + ], + [ + 7970, + 10084 + ], + [ + 4813, + 6186 + ], + [ + 7431, + 9052 + ], + [ + 280, + 2237 + ], + [ + 1699, + 8751 + ], + [ + 1541, + 1749 + ], + [ + 1821, + 4018 + ], + [ + 4128, + 9466 + ], + [ + 8885, + 11588 + ], + [ + 2753, + 8162 + ], + [ + 800, + 8130 + ], + [ + 4626, + 6710 + ], + [ + 3729, + 8414 + ], + [ + 5802, + 7804 + ], + [ + 3374, + 3527 + ], + [ + 7131, + 11392 + ], + [ + 10178, + 10234 + ], + [ + 904, + 11112 + ], + [ + 9746, + 10577 + ], + [ + 5859, + 7557 + ], + [ + 914, + 5384 + ], + [ + 6707, + 9344 + ], + [ + 5671, + 7506 + ], + [ + 1652, + 2115 + ], + [ + 4519, + 8691 + ], + [ + 8867, + 10608 + ], + [ + 697, + 10230 + ], + [ + 1186, + 7011 + ], + [ + 2705, + 10723 + ], + [ + 2454, + 6940 + ], + [ + 1342, + 5272 + ], + [ + 225, + 4758 + ], + [ + 3888, + 8070 + ], + [ + 1527, + 10687 + ], + [ + 3757, + 9307 + ], + [ + 4657, + 11284 + ], + [ + 6930, + 7322 + ], + [ + 429, + 7971 + ], + [ + 4474, + 5915 + ], + [ + 2667, + 4954 + ], + [ + 1731, + 7484 + ], + [ + 7618, + 8073 + ], + [ + 2265, + 10801 + ], + [ + 5446, + 8677 + ], + [ + 6213, + 11064 + ], + [ + 1287, + 6689 + ], + [ + 1163, + 4933 + ], + [ + 2668, + 4775 + ], + [ + 4531, + 9051 + ], + [ + 670, + 11416 + ], + [ + 637, + 9024 + ], + [ + 2622, + 7813 + ], + [ + 1378, + 6026 + ], + [ + 5335, + 7533 + ], + [ + 4086, + 5402 + ], + [ + 4953, + 7239 + ], + [ + 5140, + 7065 + ], + [ + 1967, + 9050 + ], + [ + 4357, + 9837 + ], + [ + 3056, + 7516 + ], + [ + 2438, + 8635 + ], + [ + 3276, + 9734 + ], + [ + 970, + 11304 + ], + [ + 3186, + 6808 + ], + [ + 7821, + 8001 + ], + [ + 851, + 3476 + ], + [ + 5954, + 6989 + ], + [ + 1780, + 3939 + ], + [ + 8932, + 10198 + ], + [ + 9090, + 11538 + ], + [ + 5826, + 7743 + ], + [ + 2371, + 4380 + ], + [ + 7278, + 10233 + ], + [ + 2400, + 9282 + ], + [ + 3546, + 4118 + ], + [ + 3583, + 7383 + ], + [ + 5835, + 8236 + ], + [ + 6381, + 8904 + ], + [ + 4812, + 11521 + ], + [ + 2668, + 7003 + ], + [ + 4872, + 11572 + ], + [ + 2448, + 9703 + ], + [ + 7148, + 11291 + ], + [ + 389, + 570 + ], + [ + 8330, + 9167 + ], + [ + 3003, + 6700 + ], + [ + 4689, + 9586 + ], + [ + 702, + 8614 + ], + [ + 9317, + 9608 + ], + [ + 105, + 10610 + ], + [ + 2686, + 8713 + ], + [ + 9910, + 10122 + ], + [ + 634, + 7921 + ], + [ + 1995, + 3877 + ], + [ + 4044, + 10787 + ], + [ + 2464, + 9051 + ], + [ + 5671, + 5896 + ], + [ + 5332, + 6430 + ], + [ + 998, + 1967 + ], + [ + 1989, + 10478 + ], + [ + 659, + 2501 + ], + [ + 1555, + 6988 + ], + [ + 684, + 10667 + ], + [ + 2960, + 10386 + ], + [ + 2652, + 6069 + ], + [ + 369, + 2927 + ], + [ + 434, + 3322 + ], + [ + 4484, + 8026 + ], + [ + 906, + 5761 + ], + [ + 4569, + 9827 + ], + [ + 550, + 4436 + ], + [ + 3351, + 7009 + ], + [ + 204, + 3799 + ], + [ + 52, + 10575 + ], + [ + 1449, + 9194 + ], + [ + 2827, + 7763 + ], + [ + 4164, + 5577 + ], + [ + 3978, + 6353 + ], + [ + 8240, + 9250 + ], + [ + 2075, + 5684 + ], + [ + 58, + 7357 + ], + [ + 10166, + 10842 + ], + [ + 1570, + 4236 + ], + [ + 1102, + 1916 + ], + [ + 990, + 1675 + ], + [ + 5802, + 8422 + ], + [ + 669, + 6198 + ], + [ + 750, + 1464 + ], + [ + 440, + 484 + ], + [ + 5520, + 8709 + ], + [ + 2779, + 10351 + ], + [ + 4302, + 5137 + ], + [ + 3935, + 10039 + ], + [ + 3312, + 6650 + ], + [ + 7016, + 10717 + ], + [ + 7202, + 7689 + ], + [ + 5177, + 5337 + ], + [ + 4082, + 6302 + ], + [ + 3079, + 7610 + ], + [ + 2781, + 3981 + ], + [ + 164, + 8133 + ], + [ + 214, + 1080 + ], + [ + 6442, + 11384 + ], + [ + 1435, + 8333 + ], + [ + 4508, + 8396 + ], + [ + 899, + 5320 + ], + [ + 1611, + 3082 + ], + [ + 957, + 8708 + ], + [ + 6781, + 7817 + ], + [ + 1774, + 4766 + ], + [ + 3474, + 7358 + ], + [ + 3785, + 8940 + ], + [ + 395, + 6726 + ], + [ + 6248, + 10737 + ], + [ + 2599, + 4125 + ], + [ + 6220, + 6437 + ], + [ + 3358, + 6594 + ], + [ + 142, + 5499 + ], + [ + 5496, + 5625 + ], + [ + 4799, + 8171 + ], + [ + 547, + 6716 + ], + [ + 4463, + 8222 + ], + [ + 3121, + 10064 + ], + [ + 4556, + 5003 + ], + [ + 3771, + 6948 + ], + [ + 5734, + 8422 + ], + [ + 1284, + 10392 + ], + [ + 2564, + 7672 + ], + [ + 1432, + 6880 + ], + [ + 4419, + 5671 + ], + [ + 5387, + 7560 + ], + [ + 7329, + 8157 + ], + [ + 817, + 5264 + ], + [ + 8721, + 10596 + ], + [ + 3518, + 9885 + ], + [ + 7969, + 8517 + ], + [ + 2564, + 11055 + ], + [ + 6886, + 7587 + ], + [ + 1502, + 8750 + ], + [ + 9893, + 10036 + ], + [ + 8062, + 8681 + ], + [ + 2616, + 8212 + ], + [ + 11076, + 11547 + ], + [ + 8866, + 9415 + ], + [ + 4229, + 11559 + ], + [ + 4472, + 4901 + ], + [ + 5123, + 9557 + ], + [ + 3352, + 8253 + ], + [ + 2877, + 5516 + ], + [ + 1736, + 4608 + ], + [ + 2758, + 7514 + ], + [ + 7986, + 9975 + ], + [ + 3339, + 7267 + ], + [ + 3836, + 8073 + ], + [ + 7483, + 10852 + ], + [ + 1566, + 11552 + ], + [ + 6055, + 6504 + ], + [ + 8264, + 11417 + ], + [ + 5027, + 9445 + ], + [ + 9652, + 9950 + ], + [ + 1405, + 7662 + ], + [ + 5756, + 9096 + ], + [ + 9649, + 9652 + ], + [ + 1810, + 2463 + ], + [ + 8375, + 9154 + ], + [ + 3767, + 5620 + ], + [ + 3084, + 6344 + ], + [ + 11041, + 11310 + ], + [ + 2894, + 6220 + ], + [ + 4451, + 6252 + ], + [ + 9270, + 10006 + ], + [ + 767, + 10007 + ], + [ + 705, + 9129 + ], + [ + 872, + 1133 + ], + [ + 5070, + 8741 + ], + [ + 1737, + 6307 + ], + [ + 3362, + 11169 + ], + [ + 4135, + 5457 + ], + [ + 1234, + 5686 + ], + [ + 1483, + 8642 + ], + [ + 743, + 8832 + ], + [ + 5223, + 5950 + ], + [ + 2375, + 3561 + ], + [ + 5437, + 9851 + ], + [ + 9229, + 9601 + ], + [ + 4589, + 11447 + ], + [ + 4656, + 7007 + ], + [ + 6383, + 11422 + ], + [ + 7694, + 8015 + ], + [ + 8191, + 8821 + ], + [ + 4927, + 5026 + ], + [ + 1219, + 4223 + ], + [ + 4615, + 9635 + ], + [ + 5492, + 10662 + ], + [ + 538, + 10655 + ], + [ + 1735, + 5456 + ], + [ + 747, + 1380 + ], + [ + 271, + 11250 + ], + [ + 1018, + 6569 + ], + [ + 8022, + 9924 + ], + [ + 5904, + 11545 + ], + [ + 2098, + 7201 + ], + [ + 5587, + 9394 + ], + [ + 2383, + 3398 + ], + [ + 2350, + 7422 + ], + [ + 8726, + 11208 + ], + [ + 4407, + 6279 + ], + [ + 16, + 7698 + ], + [ + 2962, + 6488 + ], + [ + 1729, + 8243 + ], + [ + 8637, + 9638 + ], + [ + 796, + 8038 + ], + [ + 2635, + 7002 + ], + [ + 4710, + 9471 + ], + [ + 130, + 1569 + ], + [ + 2590, + 7259 + ], + [ + 3985, + 9215 + ], + [ + 1779, + 4573 + ], + [ + 3649, + 10020 + ], + [ + 4263, + 4995 + ], + [ + 1465, + 6103 + ], + [ + 3870, + 8676 + ], + [ + 3275, + 5083 + ], + [ + 6876, + 7517 + ], + [ + 620, + 8751 + ], + [ + 5358, + 6659 + ], + [ + 2304, + 4394 + ], + [ + 11111, + 11220 + ], + [ + 9020, + 10500 + ], + [ + 653, + 8110 + ], + [ + 7091, + 8610 + ], + [ + 364, + 1591 + ], + [ + 5503, + 6259 + ], + [ + 1242, + 11134 + ], + [ + 10287, + 10958 + ], + [ + 6925, + 10792 + ], + [ + 3685, + 5139 + ], + [ + 1109, + 5128 + ], + [ + 636, + 2464 + ], + [ + 4326, + 9077 + ], + [ + 5754, + 7009 + ], + [ + 1050, + 7931 + ], + [ + 1229, + 3732 + ], + [ + 7154, + 9309 + ], + [ + 4403, + 11017 + ], + [ + 7863, + 8308 + ], + [ + 2598, + 6719 + ], + [ + 325, + 4265 + ], + [ + 734, + 9388 + ], + [ + 9851, + 10778 + ], + [ + 9450, + 10434 + ], + [ + 2100, + 6442 + ], + [ + 1322, + 9558 + ], + [ + 4550, + 7280 + ], + [ + 7478, + 11126 + ], + [ + 3190, + 7762 + ], + [ + 6493, + 10731 + ], + [ + 4970, + 9529 + ], + [ + 5949, + 10109 + ], + [ + 5799, + 6378 + ], + [ + 4328, + 5366 + ], + [ + 3216, + 5950 + ], + [ + 5793, + 6563 + ], + [ + 1997, + 9323 + ], + [ + 2685, + 3281 + ], + [ + 3638, + 8302 + ], + [ + 3732, + 7937 + ], + [ + 2310, + 6787 + ], + [ + 3134, + 9708 + ], + [ + 278, + 1012 + ], + [ + 2697, + 9707 + ], + [ + 4481, + 8964 + ], + [ + 176, + 2987 + ], + [ + 1788, + 7644 + ], + [ + 1041, + 5909 + ], + [ + 7276, + 10968 + ], + [ + 3790, + 8292 + ], + [ + 3282, + 9579 + ], + [ + 119, + 10000 + ], + [ + 7211, + 9038 + ], + [ + 7889, + 8724 + ], + [ + 7359, + 9690 + ], + [ + 4962, + 5480 + ], + [ + 5982, + 8313 + ], + [ + 882, + 8481 + ], + [ + 4208, + 9744 + ], + [ + 3345, + 10278 + ], + [ + 9694, + 9989 + ], + [ + 1043, + 2922 + ], + [ + 8598, + 10352 + ], + [ + 4398, + 9087 + ], + [ + 6144, + 9772 + ], + [ + 2369, + 6993 + ], + [ + 3831, + 10171 + ], + [ + 4359, + 6126 + ], + [ + 9071, + 9983 + ], + [ + 4080, + 7465 + ], + [ + 6074, + 7498 + ], + [ + 5573, + 9956 + ], + [ + 4983, + 6707 + ], + [ + 10060, + 10497 + ], + [ + 748, + 8639 + ], + [ + 8833, + 9845 + ], + [ + 9583, + 11097 + ], + [ + 8557, + 10701 + ], + [ + 2764, + 6741 + ], + [ + 116, + 5164 + ], + [ + 249, + 1721 + ], + [ + 1178, + 4436 + ], + [ + 2303, + 8975 + ], + [ + 8516, + 11077 + ], + [ + 553, + 2132 + ], + [ + 3755, + 5049 + ], + [ + 2724, + 4309 + ], + [ + 4936, + 8739 + ], + [ + 2637, + 11480 + ], + [ + 2785, + 7968 + ], + [ + 1114, + 10278 + ], + [ + 2105, + 8209 + ], + [ + 3509, + 4993 + ], + [ + 3034, + 8672 + ], + [ + 3476, + 9771 + ], + [ + 1757, + 10909 + ], + [ + 2660, + 5987 + ], + [ + 3501, + 10767 + ], + [ + 6357, + 6631 + ], + [ + 725, + 9944 + ], + [ + 1032, + 10626 + ], + [ + 879, + 962 + ], + [ + 2023, + 5551 + ], + [ + 1028, + 10884 + ], + [ + 1468, + 11156 + ], + [ + 3137, + 5013 + ], + [ + 9279, + 9881 + ], + [ + 278, + 8851 + ], + [ + 5603, + 11245 + ], + [ + 7535, + 10400 + ], + [ + 10709, + 11269 + ], + [ + 1870, + 4905 + ], + [ + 3131, + 10833 + ], + [ + 6959, + 10240 + ], + [ + 1572, + 7722 + ], + [ + 833, + 10766 + ], + [ + 1110, + 9354 + ], + [ + 9919, + 10591 + ], + [ + 2479, + 3673 + ], + [ + 362, + 8148 + ], + [ + 3932, + 9017 + ], + [ + 8476, + 10846 + ], + [ + 2569, + 9982 + ], + [ + 2658, + 8519 + ], + [ + 1223, + 9416 + ], + [ + 5932, + 6586 + ], + [ + 7978, + 9815 + ], + [ + 6383, + 7047 + ], + [ + 1257, + 9000 + ], + [ + 6978, + 10640 + ], + [ + 8514, + 10549 + ], + [ + 8502, + 9034 + ], + [ + 3932, + 5984 + ], + [ + 7920, + 9810 + ], + [ + 2271, + 4848 + ], + [ + 4176, + 5563 + ], + [ + 10387, + 11002 + ], + [ + 5160, + 6487 + ], + [ + 5414, + 7535 + ], + [ + 2420, + 5321 + ], + [ + 7086, + 8079 + ], + [ + 7032, + 11226 + ], + [ + 3047, + 11081 + ], + [ + 1759, + 3360 + ], + [ + 4979, + 10990 + ], + [ + 5910, + 8116 + ], + [ + 922, + 11531 + ], + [ + 17, + 2794 + ], + [ + 7988, + 10102 + ], + [ + 555, + 3601 + ], + [ + 646, + 3719 + ], + [ + 2726, + 5778 + ], + [ + 11031, + 11454 + ], + [ + 2700, + 4557 + ], + [ + 1454, + 6107 + ], + [ + 7230, + 7454 + ], + [ + 1698, + 8719 + ], + [ + 2138, + 8991 + ], + [ + 1450, + 2201 + ], + [ + 2214, + 7323 + ], + [ + 1756, + 5691 + ], + [ + 5713, + 10204 + ], + [ + 606, + 3539 + ], + [ + 4964, + 6144 + ], + [ + 3873, + 4599 + ], + [ + 2006, + 10003 + ], + [ + 3150, + 8176 + ], + [ + 1720, + 3001 + ], + [ + 1847, + 9192 + ], + [ + 3717, + 9721 + ], + [ + 374, + 7353 + ], + [ + 4804, + 5108 + ], + [ + 3302, + 4783 + ], + [ + 7727, + 8610 + ], + [ + 1091, + 3961 + ], + [ + 2987, + 3459 + ], + [ + 745, + 2570 + ], + [ + 6825, + 9970 + ], + [ + 1902, + 5866 + ], + [ + 4880, + 9075 + ], + [ + 2306, + 4229 + ], + [ + 8929, + 10144 + ], + [ + 3446, + 4912 + ], + [ + 6663, + 8861 + ], + [ + 2516, + 10640 + ], + [ + 336, + 4967 + ], + [ + 7686, + 8959 + ], + [ + 5320, + 6314 + ], + [ + 4697, + 7089 + ], + [ + 4542, + 10184 + ], + [ + 10201, + 10946 + ], + [ + 7395, + 11412 + ], + [ + 3561, + 11436 + ], + [ + 3788, + 4245 + ], + [ + 1293, + 10080 + ], + [ + 10162, + 11368 + ], + [ + 3161, + 8284 + ], + [ + 3643, + 7304 + ], + [ + 1996, + 4346 + ], + [ + 7942, + 8548 + ], + [ + 5462, + 8999 + ], + [ + 2714, + 10224 + ], + [ + 1188, + 9505 + ], + [ + 1594, + 3777 + ], + [ + 3743, + 7885 + ], + [ + 6953, + 11417 + ], + [ + 1774, + 2432 + ], + [ + 6784, + 9164 + ], + [ + 8062, + 10535 + ], + [ + 1343, + 3377 + ], + [ + 7103, + 11361 + ], + [ + 3051, + 3578 + ], + [ + 5726, + 9230 + ], + [ + 6745, + 6957 + ], + [ + 939, + 8397 + ], + [ + 1082, + 10957 + ], + [ + 1954, + 10886 + ], + [ + 4447, + 8388 + ], + [ + 1897, + 8100 + ], + [ + 5720, + 9415 + ], + [ + 7707, + 9031 + ], + [ + 236, + 6964 + ], + [ + 2288, + 6975 + ], + [ + 6305, + 9287 + ], + [ + 9976, + 10962 + ], + [ + 3400, + 9774 + ], + [ + 1452, + 3670 + ], + [ + 6185, + 7650 + ], + [ + 1342, + 5784 + ], + [ + 5423, + 5637 + ], + [ + 8578, + 8708 + ], + [ + 8478, + 10756 + ], + [ + 2726, + 7551 + ], + [ + 7788, + 10309 + ], + [ + 2674, + 6637 + ], + [ + 3804, + 7356 + ], + [ + 153, + 671 + ], + [ + 2551, + 7735 + ], + [ + 7623, + 8929 + ], + [ + 1315, + 3557 + ], + [ + 4073, + 9466 + ], + [ + 5445, + 9718 + ], + [ + 1155, + 9691 + ], + [ + 2607, + 5765 + ], + [ + 1741, + 2618 + ], + [ + 1326, + 10512 + ], + [ + 560, + 4563 + ], + [ + 2234, + 5934 + ], + [ + 4448, + 4775 + ], + [ + 5148, + 5186 + ], + [ + 7279, + 8688 + ], + [ + 2283, + 5826 + ], + [ + 4522, + 5663 + ], + [ + 5273, + 7517 + ], + [ + 6795, + 11500 + ], + [ + 2206, + 3512 + ], + [ + 946, + 7608 + ], + [ + 10875, + 11128 + ], + [ + 3241, + 7377 + ], + [ + 1565, + 10097 + ], + [ + 552, + 3547 + ], + [ + 6076, + 8780 + ], + [ + 2517, + 11483 + ], + [ + 5497, + 9103 + ], + [ + 242, + 1786 + ], + [ + 902, + 4276 + ], + [ + 4823, + 6126 + ], + [ + 4658, + 8533 + ], + [ + 6380, + 6912 + ], + [ + 3386, + 11114 + ], + [ + 6619, + 9180 + ], + [ + 2758, + 4375 + ], + [ + 1331, + 10051 + ], + [ + 6131, + 8837 + ], + [ + 6238, + 9488 + ], + [ + 665, + 7746 + ], + [ + 6117, + 11413 + ], + [ + 1009, + 1140 + ], + [ + 5059, + 5844 + ], + [ + 5520, + 6993 + ], + [ + 5845, + 6753 + ], + [ + 1447, + 11165 + ], + [ + 5860, + 7061 + ], + [ + 2035, + 4919 + ], + [ + 4800, + 7835 + ], + [ + 3473, + 9955 + ], + [ + 3686, + 11002 + ], + [ + 9546, + 9768 + ], + [ + 4082, + 4586 + ], + [ + 5238, + 10690 + ], + [ + 2978, + 9195 + ], + [ + 7675, + 11266 + ], + [ + 7639, + 9357 + ], + [ + 8683, + 10332 + ], + [ + 185, + 4261 + ], + [ + 4235, + 4801 + ], + [ + 8032, + 9059 + ], + [ + 9162, + 9778 + ], + [ + 4274, + 8139 + ], + [ + 7849, + 10106 + ], + [ + 4862, + 9063 + ], + [ + 712, + 745 + ], + [ + 469, + 987 + ], + [ + 904, + 915 + ], + [ + 5387, + 10382 + ], + [ + 6934, + 10480 + ], + [ + 4043, + 11397 + ], + [ + 342, + 4595 + ], + [ + 8308, + 11559 + ], + [ + 9180, + 11488 + ], + [ + 949, + 9733 + ], + [ + 4823, + 5321 + ], + [ + 1700, + 7423 + ], + [ + 1693, + 10416 + ], + [ + 49, + 4723 + ], + [ + 5776, + 10315 + ], + [ + 1853, + 4632 + ], + [ + 6149, + 6359 + ], + [ + 2405, + 5145 + ], + [ + 2188, + 7362 + ], + [ + 5, + 1418 + ], + [ + 7661, + 8900 + ], + [ + 2843, + 8754 + ], + [ + 4670, + 4705 + ], + [ + 5896, + 11548 + ], + [ + 1342, + 9785 + ], + [ + 2556, + 8697 + ], + [ + 94, + 4092 + ], + [ + 226, + 5709 + ], + [ + 9190, + 11021 + ], + [ + 5114, + 11512 + ], + [ + 8185, + 11502 + ], + [ + 10156, + 10585 + ], + [ + 1775, + 5099 + ], + [ + 1966, + 2415 + ], + [ + 1297, + 2845 + ], + [ + 3726, + 9222 + ], + [ + 6038, + 10850 + ], + [ + 716, + 6475 + ], + [ + 5537, + 6892 + ], + [ + 1796, + 2943 + ], + [ + 5430, + 6271 + ], + [ + 5567, + 8232 + ], + [ + 4514, + 10177 + ], + [ + 3196, + 9407 + ], + [ + 7836, + 10944 + ], + [ + 2952, + 6014 + ], + [ + 8325, + 11108 + ], + [ + 2664, + 9519 + ], + [ + 7182, + 9373 + ], + [ + 2540, + 4757 + ], + [ + 2598, + 4735 + ], + [ + 9869, + 10154 + ], + [ + 6367, + 6945 + ], + [ + 4516, + 6466 + ], + [ + 2211, + 10890 + ], + [ + 9802, + 11561 + ], + [ + 1474, + 10597 + ], + [ + 2486, + 7153 + ], + [ + 5037, + 8797 + ], + [ + 1867, + 10299 + ], + [ + 2280, + 6496 + ], + [ + 2405, + 11106 + ], + [ + 1055, + 1753 + ], + [ + 2548, + 7250 + ], + [ + 2734, + 3468 + ], + [ + 7529, + 9080 + ], + [ + 1274, + 6752 + ], + [ + 3269, + 3977 + ], + [ + 1927, + 5819 + ], + [ + 5323, + 11231 + ], + [ + 4253, + 11317 + ], + [ + 216, + 4566 + ], + [ + 10269, + 10596 + ], + [ + 1608, + 2841 + ], + [ + 2327, + 5938 + ], + [ + 2105, + 3647 + ], + [ + 637, + 6316 + ], + [ + 4563, + 8510 + ], + [ + 1380, + 4145 + ], + [ + 555, + 7415 + ], + [ + 168, + 10941 + ], + [ + 1269, + 6758 + ], + [ + 1164, + 8462 + ], + [ + 2976, + 3351 + ], + [ + 293, + 3473 + ], + [ + 3775, + 10911 + ], + [ + 2567, + 8781 + ], + [ + 444, + 2888 + ], + [ + 108, + 10109 + ], + [ + 792, + 3571 + ], + [ + 4993, + 8444 + ], + [ + 2968, + 6092 + ], + [ + 850, + 7713 + ], + [ + 4705, + 11195 + ], + [ + 1314, + 6127 + ], + [ + 4144, + 7186 + ], + [ + 5040, + 7509 + ], + [ + 1965, + 10783 + ], + [ + 5255, + 9383 + ], + [ + 3321, + 6395 + ], + [ + 5879, + 11462 + ], + [ + 6624, + 10118 + ], + [ + 2240, + 6292 + ], + [ + 6009, + 10754 + ], + [ + 2836, + 6323 + ], + [ + 1895, + 8509 + ], + [ + 675, + 11280 + ], + [ + 6721, + 7018 + ], + [ + 10045, + 10864 + ], + [ + 618, + 4330 + ], + [ + 2015, + 7113 + ], + [ + 4687, + 6832 + ], + [ + 2789, + 5753 + ], + [ + 9053, + 9298 + ], + [ + 1789, + 4326 + ], + [ + 2500, + 9033 + ], + [ + 258, + 8898 + ], + [ + 1693, + 8001 + ], + [ + 1412, + 7759 + ], + [ + 4710, + 4722 + ], + [ + 937, + 2770 + ], + [ + 4744, + 9968 + ], + [ + 4245, + 6083 + ], + [ + 795, + 10234 + ], + [ + 3498, + 11518 + ], + [ + 4083, + 8007 + ], + [ + 6015, + 7916 + ], + [ + 225, + 3473 + ], + [ + 5067, + 5144 + ], + [ + 466, + 3535 + ], + [ + 6467, + 7444 + ], + [ + 834, + 1487 + ], + [ + 8999, + 11290 + ], + [ + 427, + 6990 + ], + [ + 2235, + 11559 + ], + [ + 1984, + 3612 + ], + [ + 1358, + 7499 + ], + [ + 7620, + 10217 + ], + [ + 2597, + 8161 + ], + [ + 975, + 1318 + ], + [ + 8336, + 8852 + ], + [ + 4028, + 10528 + ], + [ + 4181, + 10770 + ], + [ + 3718, + 9548 + ], + [ + 1420, + 10979 + ], + [ + 820, + 7042 + ], + [ + 5214, + 11556 + ], + [ + 907, + 3254 + ], + [ + 197, + 11200 + ], + [ + 5359, + 5494 + ], + [ + 2114, + 5159 + ], + [ + 7294, + 11336 + ], + [ + 10955, + 11569 + ], + [ + 2371, + 6478 + ], + [ + 181, + 5779 + ], + [ + 253, + 8099 + ], + [ + 5628, + 9102 + ], + [ + 2262, + 5030 + ], + [ + 3072, + 10497 + ], + [ + 8035, + 10967 + ], + [ + 3913, + 4697 + ], + [ + 4235, + 10575 + ], + [ + 2704, + 9512 + ], + [ + 23, + 5543 + ], + [ + 3787, + 9661 + ], + [ + 2045, + 6843 + ], + [ + 4500, + 8779 + ], + [ + 290, + 6072 + ], + [ + 2695, + 8645 + ], + [ + 699, + 11195 + ], + [ + 6829, + 11542 + ], + [ + 5707, + 10684 + ], + [ + 757, + 8921 + ], + [ + 260, + 1699 + ], + [ + 9098, + 10090 + ], + [ + 1541, + 9003 + ], + [ + 7697, + 10571 + ], + [ + 8129, + 10228 + ], + [ + 1324, + 4050 + ], + [ + 2064, + 8024 + ], + [ + 3648, + 6469 + ], + [ + 3935, + 9909 + ], + [ + 2997, + 5196 + ], + [ + 566, + 2156 + ], + [ + 543, + 6868 + ], + [ + 2687, + 4216 + ], + [ + 2150, + 7017 + ], + [ + 5049, + 5961 + ], + [ + 8034, + 10341 + ], + [ + 3146, + 8702 + ], + [ + 2619, + 5775 + ], + [ + 5630, + 9124 + ], + [ + 8281, + 10218 + ], + [ + 819, + 5985 + ], + [ + 7591, + 9771 + ], + [ + 2853, + 5447 + ], + [ + 4882, + 10170 + ], + [ + 7879, + 9649 + ], + [ + 8985, + 11502 + ], + [ + 4360, + 5335 + ], + [ + 872, + 5996 + ], + [ + 1335, + 1556 + ], + [ + 1486, + 7387 + ], + [ + 9946, + 10722 + ], + [ + 1106, + 1504 + ], + [ + 3253, + 4785 + ], + [ + 6434, + 6825 + ], + [ + 10386, + 10994 + ], + [ + 4128, + 9149 + ], + [ + 1110, + 2377 + ], + [ + 389, + 1863 + ], + [ + 237, + 2223 + ], + [ + 4215, + 5361 + ], + [ + 4371, + 11536 + ], + [ + 846, + 3270 + ], + [ + 603, + 10682 + ], + [ + 4395, + 10432 + ], + [ + 4126, + 5289 + ], + [ + 1781, + 7685 + ], + [ + 1805, + 5827 + ], + [ + 4050, + 6233 + ], + [ + 7004, + 9048 + ], + [ + 6670, + 9926 + ], + [ + 3373, + 10155 + ], + [ + 10193, + 10949 + ], + [ + 3837, + 8569 + ], + [ + 5850, + 9406 + ], + [ + 2338, + 5509 + ], + [ + 3124, + 6418 + ], + [ + 2809, + 5094 + ], + [ + 2704, + 7552 + ], + [ + 1057, + 10256 + ], + [ + 591, + 2347 + ], + [ + 6821, + 7062 + ], + [ + 7065, + 9674 + ], + [ + 3271, + 6845 + ], + [ + 2696, + 6156 + ], + [ + 953, + 6900 + ], + [ + 896, + 6366 + ], + [ + 3544, + 7943 + ], + [ + 7957, + 10255 + ], + [ + 7931, + 9034 + ], + [ + 7251, + 9275 + ], + [ + 1826, + 4021 + ], + [ + 2383, + 11294 + ], + [ + 1977, + 4190 + ], + [ + 9948, + 10744 + ], + [ + 2637, + 5926 + ], + [ + 11, + 8834 + ], + [ + 1477, + 3086 + ], + [ + 2414, + 9826 + ], + [ + 1442, + 10447 + ], + [ + 477, + 905 + ], + [ + 8083, + 9778 + ], + [ + 4781, + 9663 + ], + [ + 137, + 10636 + ], + [ + 4094, + 5727 + ], + [ + 2403, + 3251 + ], + [ + 658, + 3168 + ], + [ + 508, + 5853 + ], + [ + 2842, + 9714 + ], + [ + 478, + 1480 + ], + [ + 1307, + 6997 + ], + [ + 1927, + 10088 + ], + [ + 1247, + 9575 + ], + [ + 6259, + 7308 + ], + [ + 443, + 8060 + ], + [ + 2728, + 11305 + ], + [ + 1088, + 2348 + ], + [ + 6196, + 6205 + ], + [ + 2118, + 10033 + ], + [ + 583, + 900 + ], + [ + 7403, + 8864 + ], + [ + 1233, + 9118 + ], + [ + 7311, + 9275 + ], + [ + 4090, + 7836 + ], + [ + 4279, + 10741 + ], + [ + 2417, + 9319 + ], + [ + 5901, + 11168 + ], + [ + 51, + 10838 + ], + [ + 3007, + 6906 + ], + [ + 10, + 4421 + ], + [ + 8146, + 9322 + ], + [ + 82, + 325 + ], + [ + 2630, + 3950 + ], + [ + 4899, + 8914 + ], + [ + 71, + 1664 + ], + [ + 10163, + 11032 + ], + [ + 1158, + 3467 + ], + [ + 9036, + 9830 + ], + [ + 638, + 957 + ], + [ + 9915, + 10930 + ], + [ + 7545, + 10795 + ], + [ + 9405, + 11390 + ], + [ + 9381, + 10996 + ], + [ + 5738, + 10588 + ], + [ + 3152, + 9889 + ], + [ + 6442, + 8489 + ], + [ + 7047, + 10518 + ], + [ + 967, + 3118 + ], + [ + 1135, + 11562 + ], + [ + 3649, + 4279 + ], + [ + 1975, + 2908 + ], + [ + 2207, + 8169 + ], + [ + 3521, + 11449 + ], + [ + 4044, + 4054 + ], + [ + 4427, + 10208 + ], + [ + 1436, + 5259 + ], + [ + 4915, + 6764 + ], + [ + 2332, + 10500 + ], + [ + 3380, + 8211 + ], + [ + 2325, + 9329 + ], + [ + 8923, + 11242 + ], + [ + 6841, + 8356 + ], + [ + 5134, + 9511 + ], + [ + 523, + 6460 + ], + [ + 1142, + 1779 + ], + [ + 9013, + 11135 + ], + [ + 111, + 1039 + ], + [ + 5840, + 7458 + ], + [ + 1912, + 3683 + ], + [ + 363, + 7676 + ], + [ + 2323, + 3217 + ], + [ + 456, + 7867 + ], + [ + 1199, + 1532 + ], + [ + 1722, + 7723 + ], + [ + 2379, + 5778 + ], + [ + 950, + 8375 + ], + [ + 4434, + 10224 + ], + [ + 6762, + 10133 + ], + [ + 2898, + 8036 + ], + [ + 749, + 7338 + ], + [ + 6177, + 6447 + ], + [ + 2216, + 5198 + ], + [ + 1039, + 4633 + ], + [ + 1591, + 11562 + ], + [ + 6701, + 9076 + ], + [ + 99, + 3257 + ], + [ + 4605, + 8012 + ], + [ + 5163, + 10225 + ], + [ + 1835, + 2473 + ], + [ + 3543, + 9090 + ], + [ + 3388, + 5015 + ], + [ + 4198, + 10482 + ], + [ + 6032, + 9856 + ], + [ + 5626, + 8414 + ], + [ + 5841, + 6124 + ], + [ + 1789, + 11173 + ], + [ + 7434, + 8819 + ], + [ + 5686, + 9219 + ], + [ + 3237, + 11235 + ], + [ + 4669, + 5903 + ], + [ + 5862, + 10384 + ], + [ + 2814, + 4901 + ], + [ + 7423, + 11289 + ], + [ + 2566, + 4799 + ], + [ + 670, + 5301 + ], + [ + 3650, + 5173 + ], + [ + 1905, + 9254 + ], + [ + 2244, + 2304 + ], + [ + 3644, + 4604 + ], + [ + 2123, + 4229 + ], + [ + 1780, + 7273 + ], + [ + 1009, + 8150 + ], + [ + 4612, + 4995 + ], + [ + 5453, + 5611 + ], + [ + 7383, + 11109 + ], + [ + 410, + 651 + ], + [ + 186, + 943 + ], + [ + 3200, + 10979 + ], + [ + 1307, + 10998 + ], + [ + 1873, + 7437 + ], + [ + 1990, + 8022 + ], + [ + 6348, + 6463 + ], + [ + 491, + 11378 + ], + [ + 1088, + 2966 + ], + [ + 4787, + 6689 + ], + [ + 215, + 3566 + ], + [ + 2419, + 7381 + ], + [ + 1171, + 1688 + ], + [ + 391, + 11147 + ], + [ + 1170, + 8633 + ], + [ + 275, + 7000 + ], + [ + 430, + 4659 + ], + [ + 6433, + 9395 + ], + [ + 8513, + 11454 + ], + [ + 27, + 6898 + ], + [ + 10003, + 10264 + ], + [ + 6594, + 10252 + ], + [ + 1428, + 3007 + ], + [ + 2141, + 8541 + ], + [ + 2700, + 10225 + ], + [ + 6559, + 11197 + ], + [ + 4188, + 8208 + ], + [ + 4563, + 7331 + ], + [ + 8945, + 11084 + ], + [ + 9125, + 9739 + ], + [ + 7485, + 11362 + ], + [ + 2530, + 4337 + ], + [ + 2494, + 8844 + ], + [ + 539, + 1569 + ], + [ + 6550, + 10330 + ], + [ + 662, + 9516 + ], + [ + 2181, + 7566 + ], + [ + 5660, + 9071 + ], + [ + 596, + 5486 + ], + [ + 219, + 2530 + ], + [ + 10700, + 11481 + ], + [ + 7687, + 10715 + ], + [ + 5440, + 10236 + ], + [ + 5192, + 10134 + ], + [ + 7649, + 7979 + ], + [ + 6752, + 10437 + ], + [ + 4978, + 5452 + ], + [ + 2330, + 3875 + ], + [ + 5093, + 9374 + ], + [ + 1542, + 6303 + ], + [ + 1619, + 8967 + ], + [ + 1514, + 10671 + ], + [ + 4877, + 8029 + ], + [ + 1582, + 2669 + ], + [ + 2454, + 9014 + ], + [ + 701, + 4906 + ], + [ + 2910, + 9819 + ], + [ + 2503, + 8906 + ], + [ + 3783, + 6186 + ], + [ + 6107, + 8605 + ], + [ + 73, + 2304 + ], + [ + 4744, + 5406 + ], + [ + 7020, + 11541 + ], + [ + 327, + 9768 + ], + [ + 1325, + 8116 + ], + [ + 4246, + 5129 + ], + [ + 7396, + 7856 + ], + [ + 1044, + 2212 + ], + [ + 349, + 667 + ], + [ + 6881, + 11382 + ], + [ + 6449, + 9473 + ], + [ + 35, + 2951 + ], + [ + 3675, + 5313 + ], + [ + 2954, + 8963 + ], + [ + 5863, + 8595 + ], + [ + 1842, + 9547 + ], + [ + 595, + 1073 + ], + [ + 245, + 2946 + ], + [ + 6786, + 11495 + ], + [ + 1557, + 9563 + ], + [ + 1252, + 9681 + ], + [ + 3227, + 7028 + ], + [ + 118, + 5056 + ], + [ + 2291, + 3142 + ], + [ + 341, + 375 + ], + [ + 86, + 5518 + ], + [ + 1889, + 8989 + ], + [ + 1524, + 10554 + ], + [ + 2290, + 3671 + ], + [ + 6283, + 7841 + ], + [ + 7988, + 10777 + ], + [ + 3721, + 7536 + ], + [ + 2132, + 5714 + ], + [ + 5564, + 11537 + ], + [ + 9502, + 11112 + ], + [ + 10184, + 10917 + ], + [ + 1811, + 10210 + ], + [ + 4581, + 6300 + ], + [ + 3645, + 8830 + ], + [ + 405, + 3177 + ], + [ + 9384, + 9521 + ], + [ + 874, + 6099 + ], + [ + 6634, + 7667 + ], + [ + 221, + 3999 + ], + [ + 56, + 6406 + ], + [ + 3512, + 6207 + ], + [ + 6256, + 7492 + ], + [ + 3792, + 8476 + ], + [ + 7030, + 11050 + ], + [ + 3174, + 9595 + ], + [ + 6699, + 11445 + ], + [ + 8174, + 9223 + ], + [ + 4727, + 6475 + ], + [ + 4658, + 8590 + ], + [ + 2891, + 4776 + ], + [ + 4472, + 5202 + ], + [ + 4759, + 8642 + ], + [ + 6402, + 10700 + ], + [ + 6247, + 6625 + ], + [ + 9576, + 11569 + ], + [ + 108, + 2782 + ], + [ + 925, + 2250 + ], + [ + 1140, + 6376 + ], + [ + 5173, + 6188 + ], + [ + 10348, + 11267 + ], + [ + 1633, + 6659 + ], + [ + 10311, + 11385 + ], + [ + 6391, + 10137 + ], + [ + 5670, + 10377 + ], + [ + 2905, + 7461 + ], + [ + 7175, + 10219 + ], + [ + 1024, + 8271 + ], + [ + 6161, + 10614 + ], + [ + 8771, + 9455 + ], + [ + 6570, + 9321 + ], + [ + 4696, + 7138 + ], + [ + 2294, + 8246 + ], + [ + 556, + 5924 + ], + [ + 2648, + 3082 + ], + [ + 1300, + 10771 + ], + [ + 6251, + 9726 + ], + [ + 1265, + 7552 + ], + [ + 1602, + 3939 + ], + [ + 3231, + 6291 + ], + [ + 1240, + 2769 + ], + [ + 362, + 9441 + ], + [ + 1200, + 10540 + ], + [ + 2757, + 4156 + ], + [ + 7083, + 9475 + ], + [ + 4375, + 7847 + ], + [ + 5268, + 8653 + ], + [ + 6580, + 8854 + ], + [ + 3770, + 9201 + ], + [ + 1774, + 5335 + ], + [ + 1472, + 8380 + ], + [ + 94, + 4149 + ], + [ + 1090, + 1670 + ], + [ + 5386, + 9813 + ], + [ + 1532, + 2769 + ], + [ + 7158, + 7555 + ], + [ + 1714, + 8667 + ], + [ + 2677, + 3796 + ], + [ + 629, + 11074 + ], + [ + 7406, + 8788 + ], + [ + 7497, + 8152 + ], + [ + 1645, + 2831 + ], + [ + 8835, + 9574 + ], + [ + 7273, + 9198 + ], + [ + 1584, + 9725 + ], + [ + 796, + 1573 + ], + [ + 5596, + 7529 + ], + [ + 4911, + 6672 + ], + [ + 10888, + 10941 + ], + [ + 7992, + 11514 + ], + [ + 4935, + 5568 + ], + [ + 4162, + 9028 + ], + [ + 1323, + 10889 + ], + [ + 6173, + 6786 + ], + [ + 1635, + 2493 + ], + [ + 3866, + 4721 + ], + [ + 9540, + 11433 + ], + [ + 3064, + 4033 + ], + [ + 3683, + 5768 + ], + [ + 4117, + 5471 + ], + [ + 3177, + 4095 + ], + [ + 5818, + 8665 + ], + [ + 987, + 4150 + ], + [ + 685, + 3031 + ], + [ + 2560, + 8822 + ], + [ + 9111, + 10919 + ], + [ + 1745, + 6394 + ], + [ + 2356, + 8268 + ], + [ + 360, + 10818 + ], + [ + 5726, + 8295 + ], + [ + 1089, + 11193 + ], + [ + 8644, + 11453 + ], + [ + 2818, + 5855 + ], + [ + 5278, + 7381 + ], + [ + 1166, + 5963 + ], + [ + 7267, + 7824 + ], + [ + 1086, + 3725 + ], + [ + 580, + 5839 + ], + [ + 7369, + 11484 + ], + [ + 1728, + 11301 + ], + [ + 10090, + 11095 + ], + [ + 813, + 1122 + ], + [ + 1093, + 3391 + ], + [ + 2715, + 4572 + ], + [ + 688, + 5557 + ], + [ + 10, + 6625 + ], + [ + 3747, + 6668 + ], + [ + 7601, + 9548 + ], + [ + 6255, + 7484 + ], + [ + 2313, + 4757 + ], + [ + 1902, + 2971 + ], + [ + 1662, + 9900 + ], + [ + 93, + 5347 + ], + [ + 3768, + 4512 + ], + [ + 662, + 1303 + ], + [ + 2544, + 3377 + ], + [ + 2244, + 9501 + ], + [ + 2086, + 2499 + ], + [ + 1678, + 6646 + ], + [ + 4943, + 7633 + ], + [ + 7936, + 10376 + ], + [ + 5840, + 9312 + ], + [ + 6472, + 9000 + ], + [ + 421, + 7256 + ], + [ + 3232, + 4101 + ], + [ + 4027, + 7782 + ], + [ + 543, + 1769 + ], + [ + 5988, + 8429 + ], + [ + 6423, + 8357 + ], + [ + 4463, + 10564 + ], + [ + 9406, + 9658 + ], + [ + 1100, + 10173 + ], + [ + 1762, + 9326 + ], + [ + 9035, + 11408 + ], + [ + 3309, + 8670 + ], + [ + 1351, + 7540 + ], + [ + 1559, + 1827 + ], + [ + 189, + 1621 + ], + [ + 7902, + 9637 + ], + [ + 10742, + 11384 + ], + [ + 9721, + 11332 + ], + [ + 2741, + 6119 + ], + [ + 10203, + 11106 + ], + [ + 8527, + 8908 + ], + [ + 4286, + 5390 + ], + [ + 9526, + 10864 + ], + [ + 1620, + 2453 + ], + [ + 2401, + 3018 + ], + [ + 1802, + 8351 + ], + [ + 2511, + 6596 + ], + [ + 2299, + 9157 + ], + [ + 4066, + 6555 + ], + [ + 865, + 6492 + ], + [ + 3287, + 6036 + ], + [ + 3132, + 8377 + ], + [ + 293, + 1570 + ], + [ + 3575, + 5914 + ], + [ + 2422, + 4245 + ], + [ + 5335, + 6305 + ], + [ + 3504, + 7202 + ], + [ + 5777, + 7404 + ], + [ + 1792, + 3849 + ], + [ + 2602, + 9316 + ], + [ + 9130, + 10490 + ], + [ + 10291, + 10522 + ], + [ + 4866, + 10930 + ], + [ + 5120, + 8568 + ], + [ + 1166, + 7736 + ], + [ + 3068, + 11186 + ], + [ + 2101, + 7987 + ], + [ + 2908, + 7521 + ], + [ + 4983, + 9236 + ], + [ + 3023, + 7279 + ], + [ + 9967, + 10583 + ], + [ + 3084, + 8686 + ], + [ + 1030, + 11231 + ], + [ + 3265, + 3779 + ], + [ + 2050, + 6894 + ], + [ + 9484, + 9833 + ], + [ + 3536, + 8968 + ], + [ + 5755, + 11536 + ], + [ + 337, + 6699 + ], + [ + 7173, + 11409 + ], + [ + 112, + 1104 + ], + [ + 5808, + 11547 + ], + [ + 581, + 6278 + ], + [ + 3470, + 4534 + ], + [ + 5765, + 8467 + ], + [ + 3216, + 6869 + ], + [ + 428, + 2279 + ], + [ + 2735, + 3563 + ], + [ + 4801, + 5916 + ], + [ + 1000, + 1916 + ], + [ + 67, + 10379 + ], + [ + 3914, + 7584 + ], + [ + 1235, + 6694 + ], + [ + 2675, + 6141 + ], + [ + 7372, + 8212 + ], + [ + 4282, + 6290 + ], + [ + 2889, + 4380 + ], + [ + 733, + 8927 + ], + [ + 3788, + 8384 + ], + [ + 3910, + 7815 + ], + [ + 522, + 1510 + ], + [ + 5126, + 7554 + ], + [ + 8209, + 9059 + ], + [ + 3531, + 4786 + ], + [ + 418, + 6822 + ], + [ + 2510, + 11150 + ], + [ + 4781, + 10525 + ], + [ + 3315, + 3441 + ], + [ + 818, + 7695 + ], + [ + 9997, + 10717 + ], + [ + 358, + 10154 + ], + [ + 4023, + 7877 + ], + [ + 7333, + 8607 + ], + [ + 10150, + 10959 + ], + [ + 8407, + 10922 + ], + [ + 7714, + 10958 + ], + [ + 499, + 6602 + ], + [ + 530, + 1751 + ], + [ + 2025, + 7321 + ], + [ + 6068, + 10854 + ], + [ + 5104, + 9084 + ], + [ + 678, + 5032 + ], + [ + 1464, + 5941 + ], + [ + 5688, + 7600 + ], + [ + 6309, + 10916 + ], + [ + 5497, + 8786 + ], + [ + 7775, + 11584 + ], + [ + 6658, + 8818 + ], + [ + 2693, + 5915 + ], + [ + 5155, + 8268 + ], + [ + 857, + 4216 + ], + [ + 6782, + 9793 + ], + [ + 170, + 9702 + ], + [ + 3043, + 7425 + ], + [ + 6114, + 6661 + ], + [ + 4870, + 9038 + ], + [ + 518, + 10385 + ], + [ + 1445, + 10021 + ], + [ + 6801, + 10974 + ], + [ + 10069, + 11478 + ], + [ + 5669, + 6395 + ], + [ + 9336, + 11334 + ], + [ + 4523, + 11532 + ], + [ + 6667, + 8880 + ], + [ + 7782, + 8567 + ], + [ + 2527, + 7666 + ], + [ + 6255, + 9875 + ], + [ + 5876, + 6846 + ], + [ + 3238, + 10121 + ], + [ + 3293, + 9828 + ], + [ + 1550, + 10572 + ], + [ + 354, + 4288 + ], + [ + 8490, + 9189 + ], + [ + 6608, + 7145 + ], + [ + 9820, + 10750 + ], + [ + 3278, + 11398 + ], + [ + 1199, + 5777 + ], + [ + 3754, + 4911 + ], + [ + 7916, + 9856 + ], + [ + 6789, + 8654 + ], + [ + 2871, + 4069 + ], + [ + 357, + 5690 + ], + [ + 1441, + 5310 + ], + [ + 1000, + 5567 + ], + [ + 4895, + 6950 + ], + [ + 3487, + 5506 + ], + [ + 3268, + 4644 + ], + [ + 4520, + 10456 + ], + [ + 7064, + 10929 + ], + [ + 6723, + 10636 + ], + [ + 892, + 4694 + ], + [ + 5902, + 11426 + ], + [ + 6808, + 10185 + ], + [ + 922, + 6034 + ], + [ + 2047, + 10573 + ], + [ + 2102, + 3864 + ], + [ + 1057, + 5670 + ], + [ + 1076, + 9884 + ], + [ + 1272, + 7544 + ], + [ + 1795, + 9571 + ], + [ + 1482, + 4910 + ], + [ + 9578, + 10412 + ], + [ + 6390, + 11365 + ], + [ + 980, + 7143 + ], + [ + 3913, + 11333 + ], + [ + 4093, + 9988 + ], + [ + 625, + 2256 + ], + [ + 258, + 7158 + ], + [ + 6082, + 10431 + ], + [ + 3749, + 3762 + ], + [ + 2278, + 2750 + ], + [ + 166, + 7569 + ], + [ + 2504, + 8166 + ], + [ + 436, + 2734 + ], + [ + 3271, + 10553 + ], + [ + 317, + 1322 + ], + [ + 2808, + 9331 + ], + [ + 1440, + 5034 + ], + [ + 2307, + 4619 + ], + [ + 2207, + 7421 + ], + [ + 1909, + 3792 + ], + [ + 6914, + 10180 + ], + [ + 4508, + 8136 + ], + [ + 3671, + 10645 + ], + [ + 7525, + 11273 + ], + [ + 2666, + 8874 + ], + [ + 372, + 1379 + ], + [ + 3173, + 3952 + ], + [ + 515, + 933 + ], + [ + 7221, + 7829 + ], + [ + 4100, + 10004 + ], + [ + 4074, + 8783 + ], + [ + 1230, + 9546 + ], + [ + 1980, + 10798 + ], + [ + 490, + 9736 + ], + [ + 7305, + 10186 + ], + [ + 2172, + 4552 + ], + [ + 7454, + 9528 + ], + [ + 5721, + 10960 + ], + [ + 1969, + 3469 + ], + [ + 1791, + 11276 + ], + [ + 6449, + 7757 + ], + [ + 9537, + 9606 + ], + [ + 3990, + 9085 + ], + [ + 6083, + 9097 + ], + [ + 1914, + 7145 + ], + [ + 5711, + 7239 + ], + [ + 916, + 2381 + ], + [ + 4456, + 6791 + ], + [ + 7288, + 8677 + ], + [ + 7014, + 9606 + ], + [ + 507, + 641 + ], + [ + 1845, + 8479 + ], + [ + 4608, + 7562 + ], + [ + 2531, + 5774 + ], + [ + 7073, + 10186 + ], + [ + 1378, + 3351 + ], + [ + 3761, + 9383 + ], + [ + 1531, + 3593 + ], + [ + 1469, + 2715 + ], + [ + 9024, + 10145 + ], + [ + 29, + 9684 + ], + [ + 1336, + 9541 + ], + [ + 1337, + 10143 + ], + [ + 4391, + 6746 + ], + [ + 4139, + 4990 + ], + [ + 2171, + 3926 + ], + [ + 5598, + 8651 + ], + [ + 834, + 5358 + ], + [ + 6654, + 11141 + ], + [ + 4401, + 5929 + ], + [ + 5474, + 10278 + ], + [ + 2189, + 11298 + ], + [ + 5828, + 10806 + ], + [ + 6650, + 11372 + ], + [ + 2913, + 4913 + ], + [ + 3182, + 8521 + ], + [ + 5683, + 10802 + ], + [ + 3813, + 6109 + ], + [ + 234, + 7406 + ], + [ + 535, + 10552 + ], + [ + 1445, + 6801 + ], + [ + 1008, + 10964 + ], + [ + 4764, + 10303 + ], + [ + 1314, + 8038 + ], + [ + 3334, + 10046 + ], + [ + 3108, + 7259 + ], + [ + 9406, + 9634 + ], + [ + 8248, + 9119 + ], + [ + 7226, + 10377 + ], + [ + 4671, + 4827 + ], + [ + 460, + 4901 + ], + [ + 4854, + 7163 + ], + [ + 2827, + 11154 + ], + [ + 1210, + 3901 + ], + [ + 828, + 7771 + ], + [ + 9114, + 9233 + ], + [ + 3290, + 5960 + ], + [ + 7713, + 8960 + ], + [ + 6135, + 8051 + ], + [ + 3358, + 10790 + ], + [ + 7095, + 10079 + ], + [ + 10761, + 11410 + ], + [ + 1614, + 11309 + ], + [ + 336, + 4276 + ], + [ + 177, + 9881 + ], + [ + 507, + 5097 + ], + [ + 1267, + 11201 + ], + [ + 4144, + 7942 + ], + [ + 8824, + 11507 + ], + [ + 5865, + 6096 + ], + [ + 2685, + 7664 + ], + [ + 682, + 6791 + ], + [ + 7230, + 9341 + ], + [ + 1814, + 1921 + ], + [ + 2151, + 6976 + ], + [ + 2675, + 3189 + ], + [ + 307, + 4635 + ], + [ + 2218, + 5165 + ], + [ + 9840, + 11565 + ], + [ + 3140, + 5211 + ], + [ + 3365, + 7773 + ], + [ + 3790, + 6259 + ], + [ + 3139, + 11402 + ], + [ + 2834, + 10766 + ], + [ + 1461, + 6879 + ], + [ + 4415, + 9694 + ], + [ + 6739, + 7949 + ], + [ + 1544, + 5601 + ], + [ + 4837, + 7882 + ], + [ + 3968, + 5218 + ], + [ + 8883, + 10932 + ], + [ + 416, + 11344 + ], + [ + 1763, + 7594 + ], + [ + 2281, + 2861 + ], + [ + 1250, + 8537 + ], + [ + 6554, + 9300 + ], + [ + 1356, + 8933 + ], + [ + 6542, + 11168 + ], + [ + 6537, + 10824 + ], + [ + 1895, + 2044 + ], + [ + 7045, + 8756 + ], + [ + 4674, + 9931 + ], + [ + 7659, + 10901 + ], + [ + 7755, + 10609 + ], + [ + 214, + 7049 + ], + [ + 3106, + 4822 + ], + [ + 4136, + 6091 + ], + [ + 2102, + 5905 + ], + [ + 4311, + 10818 + ], + [ + 5973, + 9146 + ], + [ + 1394, + 11268 + ], + [ + 124, + 7506 + ], + [ + 4286, + 6789 + ], + [ + 81, + 4426 + ], + [ + 1046, + 7552 + ], + [ + 422, + 10354 + ], + [ + 3375, + 3899 + ], + [ + 8665, + 8736 + ], + [ + 4563, + 8006 + ], + [ + 2794, + 10535 + ], + [ + 1576, + 6963 + ], + [ + 5330, + 10393 + ], + [ + 2167, + 7404 + ], + [ + 5491, + 11250 + ], + [ + 6140, + 9444 + ], + [ + 1420, + 5669 + ], + [ + 2230, + 11136 + ], + [ + 1041, + 6804 + ], + [ + 4639, + 6311 + ], + [ + 2092, + 11202 + ], + [ + 1376, + 9534 + ], + [ + 9559, + 10117 + ], + [ + 10488, + 10580 + ], + [ + 1816, + 9806 + ], + [ + 7793, + 9157 + ], + [ + 3361, + 8323 + ], + [ + 4491, + 6790 + ], + [ + 4608, + 7375 + ], + [ + 8625, + 9687 + ], + [ + 903, + 10253 + ], + [ + 2343, + 5536 + ], + [ + 5815, + 10034 + ], + [ + 2153, + 9576 + ], + [ + 302, + 1927 + ], + [ + 683, + 11418 + ], + [ + 5590, + 10855 + ], + [ + 2763, + 7815 + ], + [ + 1323, + 1952 + ], + [ + 2673, + 4889 + ], + [ + 1711, + 5444 + ], + [ + 3110, + 4890 + ], + [ + 307, + 6408 + ], + [ + 4189, + 4920 + ], + [ + 4904, + 10527 + ], + [ + 2391, + 8586 + ], + [ + 1918, + 6676 + ], + [ + 4722, + 8766 + ], + [ + 2943, + 9853 + ], + [ + 5799, + 11379 + ], + [ + 2664, + 10438 + ], + [ + 4149, + 8904 + ], + [ + 8920, + 9204 + ], + [ + 8758, + 8876 + ], + [ + 974, + 1394 + ], + [ + 6149, + 6473 + ], + [ + 920, + 10957 + ], + [ + 3832, + 10136 + ], + [ + 506, + 9627 + ], + [ + 1368, + 4704 + ], + [ + 6259, + 10024 + ], + [ + 7384, + 8147 + ], + [ + 6883, + 9851 + ], + [ + 3669, + 5419 + ], + [ + 8215, + 10704 + ], + [ + 1641, + 2769 + ], + [ + 552, + 2051 + ], + [ + 5154, + 7268 + ], + [ + 9887, + 11248 + ], + [ + 3207, + 10434 + ], + [ + 7147, + 10082 + ], + [ + 6901, + 7397 + ], + [ + 5837, + 9927 + ], + [ + 1833, + 6322 + ], + [ + 7643, + 11417 + ], + [ + 2908, + 6610 + ], + [ + 3153, + 5660 + ], + [ + 2158, + 10993 + ], + [ + 756, + 1450 + ], + [ + 637, + 10618 + ], + [ + 3705, + 3921 + ], + [ + 600, + 4320 + ], + [ + 6582, + 11185 + ], + [ + 4648, + 8197 + ], + [ + 3870, + 5651 + ], + [ + 3641, + 5599 + ], + [ + 9033, + 9215 + ], + [ + 1748, + 9782 + ], + [ + 5512, + 7484 + ], + [ + 4292, + 10255 + ], + [ + 4328, + 9912 + ], + [ + 3901, + 10599 + ], + [ + 23, + 11105 + ], + [ + 1685, + 2263 + ], + [ + 613, + 1522 + ], + [ + 1423, + 6989 + ], + [ + 7317, + 11001 + ], + [ + 8083, + 10534 + ], + [ + 10369, + 10941 + ], + [ + 1049, + 2052 + ], + [ + 6804, + 9692 + ], + [ + 592, + 10444 + ], + [ + 2053, + 4352 + ], + [ + 3042, + 11282 + ], + [ + 4904, + 5534 + ], + [ + 458, + 830 + ], + [ + 9043, + 9529 + ], + [ + 636, + 9238 + ], + [ + 1660, + 3145 + ], + [ + 579, + 8704 + ], + [ + 1632, + 7513 + ], + [ + 1790, + 8853 + ], + [ + 948, + 3848 + ], + [ + 2624, + 6046 + ], + [ + 7018, + 10560 + ], + [ + 204, + 6548 + ], + [ + 1383, + 1524 + ], + [ + 5605, + 6520 + ], + [ + 5993, + 6602 + ], + [ + 286, + 2416 + ], + [ + 3860, + 10574 + ], + [ + 4418, + 7869 + ], + [ + 2866, + 5929 + ], + [ + 4698, + 10138 + ], + [ + 3540, + 8125 + ], + [ + 7344, + 9390 + ], + [ + 52, + 8786 + ], + [ + 3321, + 6509 + ], + [ + 8835, + 11054 + ], + [ + 6125, + 8599 + ], + [ + 858, + 10347 + ], + [ + 457, + 10003 + ], + [ + 4504, + 4610 + ], + [ + 4949, + 10888 + ], + [ + 6625, + 6670 + ], + [ + 2353, + 3085 + ], + [ + 5503, + 5812 + ], + [ + 276, + 6959 + ], + [ + 1581, + 3737 + ], + [ + 2673, + 8890 + ], + [ + 944, + 2924 + ], + [ + 4151, + 6185 + ], + [ + 1348, + 6949 + ], + [ + 1167, + 8823 + ], + [ + 5957, + 6921 + ], + [ + 2839, + 2951 + ], + [ + 6541, + 10355 + ], + [ + 5362, + 8963 + ], + [ + 4801, + 10616 + ], + [ + 1038, + 9352 + ], + [ + 1902, + 5256 + ], + [ + 281, + 7683 + ], + [ + 3832, + 10754 + ], + [ + 4424, + 8414 + ], + [ + 1970, + 3670 + ], + [ + 2501, + 9722 + ], + [ + 1876, + 7418 + ], + [ + 350, + 2535 + ], + [ + 1750, + 11251 + ], + [ + 1217, + 8536 + ], + [ + 4208, + 10452 + ], + [ + 5887, + 11413 + ], + [ + 1704, + 7119 + ], + [ + 685, + 7894 + ], + [ + 2736, + 2799 + ], + [ + 6252, + 9821 + ], + [ + 3162, + 4893 + ], + [ + 2518, + 7043 + ], + [ + 5873, + 10956 + ], + [ + 4505, + 6659 + ], + [ + 1678, + 2865 + ], + [ + 4229, + 10925 + ], + [ + 3474, + 5919 + ], + [ + 2913, + 7572 + ], + [ + 1011, + 3341 + ], + [ + 10169, + 11148 + ], + [ + 919, + 10168 + ], + [ + 5587, + 7337 + ], + [ + 3312, + 10472 + ], + [ + 8226, + 11080 + ], + [ + 1230, + 5334 + ], + [ + 5299, + 10088 + ], + [ + 201, + 1257 + ], + [ + 2028, + 2870 + ], + [ + 1946, + 11139 + ], + [ + 5021, + 5613 + ], + [ + 2099, + 11381 + ], + [ + 7599, + 11332 + ], + [ + 8370, + 11209 + ], + [ + 2339, + 10087 + ], + [ + 9870, + 10707 + ], + [ + 1559, + 10878 + ], + [ + 3429, + 5745 + ], + [ + 3212, + 7208 + ], + [ + 6321, + 7682 + ], + [ + 4413, + 5915 + ], + [ + 567, + 9312 + ], + [ + 2023, + 2876 + ], + [ + 8520, + 11153 + ], + [ + 3010, + 3317 + ], + [ + 3192, + 9215 + ], + [ + 6862, + 7282 + ], + [ + 6034, + 7625 + ], + [ + 1865, + 4919 + ], + [ + 4224, + 6393 + ], + [ + 3169, + 7511 + ], + [ + 3503, + 6633 + ], + [ + 4341, + 7732 + ], + [ + 2913, + 9800 + ], + [ + 8089, + 11317 + ], + [ + 4013, + 5392 + ], + [ + 708, + 5760 + ], + [ + 1606, + 6910 + ], + [ + 2409, + 11206 + ], + [ + 4274, + 9139 + ], + [ + 7173, + 8083 + ], + [ + 459, + 8439 + ], + [ + 3744, + 6695 + ], + [ + 753, + 8162 + ], + [ + 2626, + 6710 + ], + [ + 8004, + 11394 + ], + [ + 170, + 5303 + ], + [ + 5433, + 6065 + ], + [ + 1291, + 1772 + ], + [ + 599, + 11078 + ], + [ + 1900, + 2819 + ], + [ + 568, + 5349 + ], + [ + 9644, + 10902 + ], + [ + 6003, + 10567 + ], + [ + 153, + 411 + ], + [ + 5474, + 10977 + ], + [ + 4364, + 5218 + ], + [ + 8221, + 10281 + ], + [ + 401, + 3142 + ], + [ + 2019, + 10997 + ], + [ + 3478, + 10494 + ], + [ + 5195, + 8529 + ], + [ + 5661, + 7770 + ], + [ + 1175, + 10083 + ], + [ + 246, + 3204 + ], + [ + 3912, + 10951 + ], + [ + 3697, + 6825 + ], + [ + 4440, + 11070 + ], + [ + 3352, + 9042 + ], + [ + 2729, + 9817 + ], + [ + 539, + 5708 + ], + [ + 5181, + 7318 + ], + [ + 2230, + 8184 + ], + [ + 2195, + 9883 + ], + [ + 5366, + 7071 + ], + [ + 10088, + 10138 + ], + [ + 6416, + 8992 + ], + [ + 1963, + 3117 + ], + [ + 7622, + 8043 + ], + [ + 1381, + 10309 + ], + [ + 5462, + 10162 + ], + [ + 668, + 8158 + ], + [ + 372, + 468 + ], + [ + 4921, + 6805 + ], + [ + 526, + 10734 + ], + [ + 5414, + 10121 + ], + [ + 2647, + 7132 + ], + [ + 4768, + 9192 + ], + [ + 3538, + 4859 + ], + [ + 7843, + 9301 + ], + [ + 2726, + 8364 + ], + [ + 773, + 1162 + ], + [ + 419, + 664 + ], + [ + 2101, + 8312 + ], + [ + 3324, + 9222 + ], + [ + 2751, + 2944 + ], + [ + 10844, + 11181 + ], + [ + 4001, + 8683 + ], + [ + 9513, + 10149 + ], + [ + 4553, + 6944 + ], + [ + 857, + 7656 + ], + [ + 1839, + 6999 + ], + [ + 70, + 9528 + ], + [ + 4531, + 8848 + ], + [ + 1881, + 10608 + ], + [ + 76, + 10474 + ], + [ + 6984, + 7705 + ], + [ + 4275, + 8104 + ], + [ + 6073, + 11231 + ], + [ + 135, + 11054 + ], + [ + 4361, + 7124 + ], + [ + 1566, + 2087 + ], + [ + 7011, + 8747 + ], + [ + 8305, + 9897 + ], + [ + 8086, + 9035 + ], + [ + 190, + 7728 + ], + [ + 4230, + 7580 + ], + [ + 3698, + 7719 + ], + [ + 1645, + 9735 + ], + [ + 52, + 7794 + ], + [ + 2138, + 7389 + ], + [ + 5875, + 6678 + ], + [ + 3167, + 5050 + ], + [ + 5309, + 7987 + ], + [ + 3261, + 11101 + ], + [ + 3669, + 6200 + ], + [ + 4280, + 10326 + ], + [ + 7306, + 9045 + ], + [ + 10069, + 10380 + ], + [ + 3228, + 8709 + ], + [ + 293, + 7856 + ], + [ + 2972, + 4582 + ], + [ + 9019, + 9590 + ], + [ + 758, + 9124 + ], + [ + 207, + 11465 + ], + [ + 8331, + 8435 + ], + [ + 3381, + 5918 + ], + [ + 1751, + 10511 + ], + [ + 1684, + 2873 + ], + [ + 4400, + 9280 + ], + [ + 8254, + 9908 + ], + [ + 4850, + 9516 + ], + [ + 590, + 1030 + ], + [ + 6379, + 7500 + ], + [ + 3201, + 9141 + ], + [ + 6045, + 8378 + ], + [ + 1580, + 5152 + ], + [ + 1428, + 7764 + ], + [ + 51, + 9797 + ], + [ + 2485, + 6692 + ], + [ + 2702, + 8612 + ], + [ + 2480, + 9731 + ], + [ + 1666, + 6774 + ], + [ + 3968, + 5462 + ], + [ + 4224, + 9589 + ], + [ + 3262, + 6734 + ], + [ + 2503, + 8402 + ], + [ + 4810, + 9686 + ], + [ + 8604, + 10263 + ], + [ + 6990, + 8943 + ], + [ + 5517, + 7104 + ], + [ + 9059, + 10843 + ], + [ + 2070, + 2104 + ], + [ + 2345, + 4029 + ], + [ + 757, + 2432 + ], + [ + 5447, + 9748 + ], + [ + 4798, + 11554 + ], + [ + 7597, + 10294 + ], + [ + 935, + 6676 + ], + [ + 6855, + 9657 + ], + [ + 1241, + 7914 + ], + [ + 7808, + 11268 + ], + [ + 5356, + 6597 + ], + [ + 657, + 1447 + ], + [ + 7912, + 8585 + ], + [ + 3454, + 8782 + ], + [ + 6004, + 7572 + ], + [ + 4861, + 5837 + ], + [ + 6941, + 7896 + ], + [ + 7063, + 7327 + ], + [ + 4881, + 7243 + ], + [ + 7155, + 10299 + ], + [ + 5622, + 8409 + ], + [ + 147, + 9454 + ], + [ + 10785, + 11219 + ], + [ + 1368, + 10291 + ], + [ + 2108, + 3685 + ], + [ + 2328, + 5903 + ], + [ + 7837, + 10104 + ], + [ + 6531, + 6685 + ], + [ + 2021, + 10856 + ], + [ + 8704, + 9689 + ], + [ + 5870, + 11140 + ], + [ + 4029, + 11349 + ], + [ + 1737, + 11097 + ], + [ + 10670, + 10680 + ], + [ + 9605, + 10356 + ], + [ + 1505, + 5112 + ], + [ + 53, + 2622 + ], + [ + 47, + 9223 + ], + [ + 3094, + 10317 + ], + [ + 7884, + 9169 + ], + [ + 3288, + 11314 + ], + [ + 1793, + 5744 + ], + [ + 4559, + 11514 + ], + [ + 5526, + 8297 + ], + [ + 8162, + 8359 + ], + [ + 3613, + 6186 + ], + [ + 4712, + 5340 + ], + [ + 1196, + 4707 + ], + [ + 6977, + 7152 + ], + [ + 910, + 10537 + ], + [ + 8090, + 10176 + ], + [ + 4712, + 8723 + ], + [ + 2959, + 4615 + ], + [ + 1025, + 2381 + ], + [ + 4930, + 10114 + ], + [ + 5140, + 7480 + ], + [ + 3389, + 4199 + ], + [ + 155, + 1744 + ], + [ + 2894, + 3439 + ], + [ + 5700, + 6356 + ], + [ + 1925, + 9993 + ], + [ + 63, + 9325 + ], + [ + 3205, + 5021 + ], + [ + 5541, + 11207 + ], + [ + 2422, + 4383 + ], + [ + 2616, + 11042 + ], + [ + 2544, + 3060 + ], + [ + 873, + 1960 + ], + [ + 1554, + 10989 + ], + [ + 1088, + 3080 + ], + [ + 463, + 3028 + ], + [ + 4702, + 10637 + ], + [ + 481, + 7771 + ], + [ + 5847, + 6002 + ], + [ + 978, + 8577 + ], + [ + 24, + 9747 + ], + [ + 4286, + 6228 + ], + [ + 9573, + 11548 + ], + [ + 4346, + 6279 + ], + [ + 951, + 9383 + ], + [ + 5030, + 6911 + ], + [ + 3815, + 10026 + ], + [ + 5372, + 10058 + ], + [ + 4025, + 6638 + ], + [ + 1203, + 10358 + ], + [ + 107, + 2053 + ], + [ + 5024, + 8594 + ], + [ + 4222, + 7906 + ], + [ + 9258, + 9443 + ], + [ + 10937, + 11158 + ], + [ + 326, + 7052 + ], + [ + 35, + 3870 + ], + [ + 3739, + 7937 + ], + [ + 1817, + 2300 + ], + [ + 972, + 4194 + ], + [ + 1032, + 11415 + ], + [ + 8537, + 10060 + ], + [ + 6231, + 8220 + ], + [ + 2236, + 7387 + ], + [ + 7442, + 7615 + ], + [ + 4333, + 4889 + ], + [ + 10649, + 10876 + ], + [ + 4670, + 8446 + ], + [ + 4828, + 4868 + ], + [ + 4735, + 8841 + ], + [ + 7865, + 10192 + ], + [ + 1056, + 6524 + ], + [ + 3568, + 8240 + ], + [ + 2898, + 9923 + ], + [ + 6742, + 9109 + ], + [ + 1582, + 5816 + ], + [ + 2761, + 6427 + ], + [ + 1603, + 10076 + ], + [ + 8184, + 8602 + ], + [ + 1541, + 9198 + ], + [ + 3258, + 4227 + ], + [ + 3161, + 7300 + ], + [ + 1012, + 6602 + ], + [ + 1695, + 6632 + ], + [ + 6994, + 7051 + ], + [ + 578, + 10282 + ], + [ + 146, + 4209 + ], + [ + 106, + 11226 + ], + [ + 1315, + 9794 + ], + [ + 4092, + 7809 + ], + [ + 7724, + 9556 + ], + [ + 1796, + 10067 + ], + [ + 3503, + 7414 + ], + [ + 7135, + 9161 + ], + [ + 7164, + 8401 + ], + [ + 8793, + 9999 + ], + [ + 5703, + 8077 + ], + [ + 6195, + 8539 + ], + [ + 7819, + 9793 + ], + [ + 1444, + 9615 + ], + [ + 716, + 5678 + ], + [ + 4771, + 10726 + ], + [ + 1531, + 11489 + ], + [ + 3794, + 6839 + ], + [ + 965, + 2218 + ], + [ + 7539, + 10907 + ], + [ + 4725, + 7348 + ], + [ + 3572, + 11341 + ], + [ + 8433, + 11534 + ], + [ + 553, + 4344 + ], + [ + 5563, + 7666 + ], + [ + 2972, + 6623 + ], + [ + 7118, + 11035 + ], + [ + 9110, + 10995 + ], + [ + 617, + 5268 + ], + [ + 6592, + 8710 + ], + [ + 10719, + 11190 + ], + [ + 1856, + 10848 + ], + [ + 3535, + 5393 + ], + [ + 6233, + 7087 + ], + [ + 3874, + 5613 + ], + [ + 6541, + 11404 + ], + [ + 200, + 9302 + ], + [ + 3376, + 10998 + ], + [ + 2929, + 10309 + ], + [ + 8233, + 11072 + ], + [ + 1251, + 11448 + ], + [ + 3517, + 10479 + ], + [ + 9041, + 9296 + ], + [ + 1283, + 1537 + ], + [ + 474, + 5340 + ], + [ + 1630, + 11444 + ], + [ + 3045, + 5007 + ], + [ + 4357, + 10870 + ], + [ + 5828, + 6220 + ], + [ + 2748, + 4232 + ], + [ + 6128, + 9141 + ], + [ + 4113, + 7477 + ], + [ + 4359, + 4500 + ], + [ + 2609, + 10489 + ], + [ + 3540, + 8369 + ], + [ + 4572, + 5547 + ], + [ + 1650, + 5653 + ], + [ + 1426, + 3693 + ], + [ + 1548, + 5376 + ], + [ + 2632, + 2744 + ], + [ + 2511, + 11085 + ], + [ + 1267, + 9298 + ], + [ + 8108, + 10969 + ], + [ + 3939, + 9017 + ], + [ + 7991, + 10384 + ], + [ + 5093, + 7878 + ], + [ + 2235, + 9689 + ], + [ + 979, + 5633 + ], + [ + 3103, + 7964 + ], + [ + 9034, + 11134 + ], + [ + 701, + 3410 + ], + [ + 7490, + 9055 + ], + [ + 2657, + 7877 + ], + [ + 7359, + 10292 + ], + [ + 2125, + 3852 + ], + [ + 2560, + 10196 + ], + [ + 5428, + 7575 + ], + [ + 9354, + 9769 + ], + [ + 3623, + 7441 + ], + [ + 3492, + 7924 + ], + [ + 2877, + 9314 + ], + [ + 2650, + 10089 + ], + [ + 2718, + 8503 + ], + [ + 1562, + 1645 + ], + [ + 4552, + 7123 + ], + [ + 2339, + 11136 + ], + [ + 5259, + 8705 + ], + [ + 7778, + 8182 + ], + [ + 5566, + 9387 + ], + [ + 2548, + 9031 + ], + [ + 6529, + 9434 + ], + [ + 190, + 8159 + ], + [ + 4689, + 6081 + ], + [ + 2447, + 5192 + ], + [ + 3486, + 4295 + ], + [ + 2132, + 3868 + ], + [ + 9366, + 10129 + ], + [ + 2518, + 7287 + ], + [ + 7430, + 11232 + ], + [ + 5785, + 8347 + ], + [ + 6313, + 10718 + ], + [ + 952, + 9421 + ], + [ + 3257, + 7626 + ], + [ + 3406, + 11132 + ], + [ + 2477, + 4253 + ], + [ + 3729, + 10065 + ], + [ + 3667, + 9187 + ], + [ + 3836, + 10716 + ], + [ + 9469, + 10257 + ], + [ + 8450, + 11032 + ], + [ + 6077, + 11380 + ], + [ + 1373, + 1722 + ], + [ + 6641, + 6992 + ], + [ + 9411, + 9498 + ], + [ + 2090, + 3992 + ], + [ + 999, + 9617 + ], + [ + 3299, + 3314 + ], + [ + 5394, + 10569 + ], + [ + 5024, + 5374 + ], + [ + 848, + 8667 + ], + [ + 7527, + 10010 + ], + [ + 4617, + 10877 + ], + [ + 775, + 6876 + ], + [ + 2359, + 5321 + ], + [ + 1030, + 11532 + ], + [ + 1618, + 5286 + ], + [ + 2640, + 8946 + ], + [ + 1476, + 7862 + ], + [ + 4220, + 9901 + ], + [ + 1577, + 2252 + ], + [ + 4193, + 4291 + ], + [ + 2164, + 9367 + ], + [ + 7761, + 9251 + ], + [ + 2969, + 3156 + ], + [ + 483, + 10208 + ], + [ + 7694, + 10658 + ], + [ + 1715, + 10480 + ], + [ + 10999, + 11044 + ], + [ + 2649, + 11287 + ], + [ + 3710, + 7705 + ], + [ + 1026, + 6471 + ], + [ + 6129, + 9984 + ], + [ + 5487, + 6545 + ], + [ + 1249, + 8206 + ], + [ + 8157, + 9601 + ], + [ + 2964, + 9578 + ], + [ + 7883, + 10530 + ], + [ + 1221, + 3906 + ], + [ + 3322, + 7596 + ], + [ + 5784, + 5785 + ], + [ + 1992, + 9418 + ], + [ + 2448, + 7971 + ], + [ + 3115, + 6714 + ], + [ + 6900, + 9457 + ], + [ + 2447, + 9998 + ], + [ + 7557, + 8266 + ], + [ + 422, + 1230 + ], + [ + 5817, + 8527 + ], + [ + 1988, + 8895 + ], + [ + 5503, + 10057 + ], + [ + 101, + 6507 + ], + [ + 8321, + 9601 + ], + [ + 4224, + 9215 + ], + [ + 8042, + 10186 + ], + [ + 726, + 11440 + ], + [ + 609, + 4439 + ], + [ + 3749, + 6478 + ], + [ + 6739, + 11202 + ], + [ + 5705, + 6781 + ], + [ + 6398, + 10909 + ], + [ + 8943, + 9355 + ], + [ + 390, + 3577 + ], + [ + 1107, + 8099 + ], + [ + 4555, + 8039 + ], + [ + 793, + 3967 + ], + [ + 125, + 7251 + ], + [ + 1152, + 10501 + ], + [ + 6754, + 9231 + ], + [ + 601, + 764 + ], + [ + 2146, + 5697 + ], + [ + 2438, + 9481 + ], + [ + 2736, + 6694 + ], + [ + 57, + 5804 + ], + [ + 239, + 5286 + ], + [ + 1176, + 5610 + ], + [ + 331, + 8258 + ], + [ + 5979, + 8831 + ], + [ + 1485, + 7119 + ], + [ + 5318, + 6870 + ], + [ + 1481, + 9629 + ], + [ + 987, + 6842 + ], + [ + 118, + 4178 + ], + [ + 6207, + 10940 + ], + [ + 4340, + 9174 + ], + [ + 1642, + 1818 + ], + [ + 1392, + 1643 + ], + [ + 3532, + 3753 + ], + [ + 5115, + 5760 + ], + [ + 292, + 4516 + ], + [ + 1690, + 3737 + ], + [ + 10294, + 10958 + ], + [ + 4900, + 11433 + ], + [ + 576, + 7658 + ], + [ + 1372, + 8531 + ], + [ + 2313, + 7099 + ], + [ + 3594, + 11397 + ], + [ + 9467, + 10398 + ], + [ + 2807, + 4601 + ], + [ + 1252, + 11031 + ], + [ + 192, + 11051 + ], + [ + 1237, + 2829 + ], + [ + 3482, + 9651 + ], + [ + 4887, + 10043 + ], + [ + 1021, + 7900 + ], + [ + 2676, + 11473 + ], + [ + 7070, + 9571 + ], + [ + 6805, + 7610 + ], + [ + 3169, + 8373 + ], + [ + 3320, + 8542 + ], + [ + 8340, + 9546 + ], + [ + 2509, + 9266 + ], + [ + 1791, + 6771 + ], + [ + 3759, + 8589 + ], + [ + 9948, + 10297 + ], + [ + 1515, + 5375 + ], + [ + 2005, + 4256 + ], + [ + 474, + 3193 + ], + [ + 2978, + 11407 + ], + [ + 6889, + 6907 + ], + [ + 6892, + 10588 + ], + [ + 4213, + 9698 + ], + [ + 639, + 11339 + ], + [ + 3273, + 8322 + ], + [ + 7533, + 9638 + ], + [ + 723, + 3116 + ], + [ + 9030, + 9619 + ], + [ + 4052, + 5808 + ], + [ + 1247, + 5745 + ], + [ + 2086, + 4036 + ], + [ + 7524, + 9525 + ], + [ + 2266, + 2691 + ], + [ + 2353, + 10981 + ], + [ + 2860, + 6059 + ], + [ + 4904, + 6209 + ], + [ + 2484, + 7465 + ], + [ + 5006, + 10623 + ], + [ + 5658, + 8334 + ], + [ + 1324, + 3871 + ], + [ + 1824, + 8358 + ], + [ + 4747, + 5444 + ], + [ + 6366, + 7108 + ], + [ + 6486, + 7210 + ], + [ + 3194, + 5531 + ], + [ + 1102, + 1957 + ], + [ + 4147, + 7142 + ], + [ + 234, + 2901 + ], + [ + 3460, + 10376 + ], + [ + 5079, + 11286 + ], + [ + 5296, + 9823 + ], + [ + 96, + 2213 + ], + [ + 378, + 6063 + ], + [ + 8744, + 8982 + ], + [ + 621, + 8450 + ], + [ + 3083, + 11557 + ], + [ + 194, + 6885 + ], + [ + 5970, + 8986 + ], + [ + 213, + 519 + ], + [ + 2484, + 6310 + ], + [ + 4287, + 9781 + ], + [ + 6936, + 7796 + ], + [ + 6124, + 6420 + ], + [ + 1769, + 7496 + ], + [ + 52, + 3045 + ], + [ + 1335, + 11176 + ], + [ + 153, + 10267 + ], + [ + 5096, + 9361 + ], + [ + 4165, + 5065 + ], + [ + 4170, + 6163 + ], + [ + 6026, + 8514 + ], + [ + 398, + 649 + ], + [ + 6676, + 10316 + ], + [ + 1478, + 9949 + ], + [ + 1922, + 4705 + ], + [ + 4938, + 4988 + ], + [ + 1514, + 3190 + ], + [ + 514, + 10431 + ], + [ + 1598, + 2137 + ], + [ + 4187, + 6517 + ], + [ + 515, + 11033 + ], + [ + 5933, + 9454 + ], + [ + 5959, + 10675 + ], + [ + 7920, + 9070 + ], + [ + 7576, + 9260 + ], + [ + 4520, + 5414 + ], + [ + 5017, + 6220 + ], + [ + 8674, + 10441 + ], + [ + 2306, + 10710 + ], + [ + 563, + 7290 + ], + [ + 4086, + 6061 + ], + [ + 1304, + 2040 + ], + [ + 4555, + 11235 + ], + [ + 1812, + 6388 + ], + [ + 2531, + 6075 + ], + [ + 6163, + 7822 + ], + [ + 767, + 1054 + ], + [ + 6442, + 10620 + ], + [ + 7367, + 9429 + ], + [ + 6374, + 9173 + ], + [ + 1259, + 4899 + ], + [ + 2544, + 6687 + ], + [ + 9517, + 10729 + ], + [ + 7089, + 11370 + ], + [ + 8801, + 9061 + ], + [ + 1167, + 5310 + ], + [ + 9019, + 10452 + ], + [ + 11321, + 11392 + ], + [ + 4910, + 8551 + ], + [ + 7434, + 8372 + ], + [ + 1138, + 3037 + ], + [ + 1664, + 3083 + ], + [ + 3286, + 3510 + ], + [ + 5834, + 7889 + ], + [ + 6856, + 11549 + ], + [ + 406, + 2364 + ], + [ + 4469, + 8027 + ], + [ + 1157, + 6470 + ], + [ + 6802, + 8280 + ], + [ + 2960, + 10695 + ], + [ + 1191, + 10218 + ], + [ + 9384, + 11489 + ], + [ + 3426, + 9182 + ], + [ + 5363, + 9435 + ], + [ + 1194, + 3319 + ], + [ + 724, + 11506 + ], + [ + 339, + 4525 + ], + [ + 4110, + 9814 + ], + [ + 225, + 3457 + ], + [ + 5877, + 7212 + ], + [ + 1314, + 1923 + ], + [ + 5737, + 11339 + ], + [ + 7344, + 11488 + ], + [ + 1367, + 4967 + ], + [ + 4887, + 6473 + ], + [ + 4317, + 6882 + ], + [ + 8274, + 8389 + ], + [ + 119, + 9073 + ], + [ + 1669, + 8688 + ], + [ + 2820, + 8032 + ], + [ + 853, + 9068 + ], + [ + 9139, + 10530 + ], + [ + 8074, + 10960 + ], + [ + 168, + 8965 + ], + [ + 385, + 7502 + ], + [ + 6334, + 11221 + ], + [ + 8837, + 10165 + ], + [ + 1172, + 4849 + ], + [ + 2870, + 4362 + ], + [ + 793, + 1820 + ], + [ + 7636, + 7701 + ], + [ + 5332, + 5934 + ], + [ + 8685, + 9020 + ], + [ + 1183, + 11050 + ], + [ + 6811, + 10220 + ], + [ + 7413, + 8568 + ], + [ + 4360, + 9157 + ], + [ + 5623, + 8742 + ], + [ + 34, + 8719 + ], + [ + 368, + 1425 + ], + [ + 989, + 4741 + ], + [ + 7114, + 11160 + ], + [ + 2990, + 11580 + ], + [ + 5688, + 6104 + ], + [ + 4000, + 7309 + ], + [ + 87, + 9484 + ], + [ + 1541, + 8637 + ], + [ + 5648, + 7459 + ], + [ + 1047, + 5096 + ], + [ + 2415, + 2977 + ], + [ + 3913, + 8064 + ], + [ + 3841, + 6498 + ], + [ + 1081, + 3926 + ], + [ + 1886, + 2633 + ], + [ + 6177, + 6268 + ], + [ + 3995, + 10348 + ], + [ + 2350, + 7463 + ], + [ + 638, + 3356 + ], + [ + 4648, + 10913 + ], + [ + 7852, + 8241 + ], + [ + 5644, + 6936 + ], + [ + 4462, + 6027 + ], + [ + 3679, + 4635 + ], + [ + 2715, + 5117 + ], + [ + 778, + 2612 + ], + [ + 10, + 7170 + ], + [ + 6952, + 9647 + ], + [ + 3495, + 6211 + ], + [ + 2376, + 9034 + ], + [ + 5984, + 6223 + ], + [ + 1094, + 10927 + ], + [ + 3797, + 9959 + ], + [ + 1586, + 11389 + ], + [ + 494, + 574 + ], + [ + 4364, + 11504 + ], + [ + 5450, + 6289 + ], + [ + 4383, + 9302 + ], + [ + 7339, + 9534 + ], + [ + 2086, + 3044 + ], + [ + 5697, + 10330 + ], + [ + 6471, + 9724 + ], + [ + 3970, + 4410 + ], + [ + 1019, + 5276 + ], + [ + 2357, + 10862 + ], + [ + 2691, + 3568 + ], + [ + 2322, + 7643 + ], + [ + 4619, + 8239 + ], + [ + 1534, + 4409 + ], + [ + 5589, + 9457 + ], + [ + 4840, + 6895 + ], + [ + 2500, + 9635 + ], + [ + 5982, + 9159 + ], + [ + 3366, + 5585 + ], + [ + 6392, + 10720 + ], + [ + 3618, + 9970 + ], + [ + 3329, + 9867 + ], + [ + 1252, + 8079 + ], + [ + 1470, + 9470 + ], + [ + 1621, + 6633 + ], + [ + 9644, + 9967 + ], + [ + 1340, + 7145 + ], + [ + 903, + 4138 + ], + [ + 3200, + 4734 + ], + [ + 10734, + 11287 + ], + [ + 6713, + 11485 + ], + [ + 2869, + 5129 + ], + [ + 6348, + 6634 + ], + [ + 4479, + 8959 + ], + [ + 217, + 6816 + ], + [ + 426, + 10373 + ], + [ + 5467, + 5838 + ], + [ + 235, + 4389 + ], + [ + 6021, + 7178 + ], + [ + 1509, + 8270 + ], + [ + 4652, + 9826 + ], + [ + 9566, + 10434 + ], + [ + 1070, + 5190 + ], + [ + 3902, + 8574 + ], + [ + 6026, + 10905 + ], + [ + 2289, + 4446 + ], + [ + 3497, + 4324 + ], + [ + 1317, + 5067 + ], + [ + 1757, + 5339 + ], + [ + 532, + 7766 + ], + [ + 3969, + 7517 + ], + [ + 5860, + 6671 + ], + [ + 2899, + 6849 + ], + [ + 1039, + 2844 + ], + [ + 1792, + 7777 + ], + [ + 2926, + 4508 + ], + [ + 2994, + 9338 + ], + [ + 6253, + 6373 + ], + [ + 4860, + 10879 + ], + [ + 316, + 9050 + ], + [ + 4815, + 10355 + ], + [ + 9202, + 11446 + ], + [ + 8835, + 9932 + ], + [ + 9733, + 11082 + ], + [ + 1634, + 3030 + ], + [ + 2289, + 6674 + ], + [ + 1945, + 6864 + ], + [ + 5250, + 11414 + ], + [ + 986, + 1274 + ], + [ + 2820, + 11228 + ], + [ + 2373, + 3369 + ], + [ + 1075, + 11145 + ], + [ + 6742, + 9516 + ], + [ + 1107, + 9148 + ], + [ + 8576, + 8890 + ], + [ + 5481, + 5870 + ], + [ + 686, + 1012 + ], + [ + 298, + 11453 + ], + [ + 6492, + 9341 + ], + [ + 1203, + 9610 + ], + [ + 5799, + 10875 + ], + [ + 2871, + 10412 + ], + [ + 3616, + 4904 + ], + [ + 1591, + 2552 + ], + [ + 4271, + 6296 + ], + [ + 4759, + 9268 + ], + [ + 2173, + 8569 + ], + [ + 6322, + 6836 + ], + [ + 4973, + 7507 + ], + [ + 2791, + 4417 + ], + [ + 1832, + 5243 + ], + [ + 2042, + 2609 + ], + [ + 837, + 10576 + ], + [ + 3160, + 5977 + ], + [ + 521, + 5617 + ], + [ + 6579, + 10814 + ], + [ + 3571, + 11146 + ], + [ + 4063, + 10854 + ], + [ + 8566, + 10430 + ], + [ + 6958, + 10810 + ], + [ + 726, + 5268 + ], + [ + 354, + 9826 + ], + [ + 4905, + 6410 + ], + [ + 2845, + 11419 + ], + [ + 952, + 11438 + ], + [ + 6544, + 10978 + ], + [ + 5171, + 10501 + ], + [ + 5260, + 9792 + ], + [ + 2491, + 10140 + ], + [ + 4791, + 8001 + ], + [ + 190, + 5638 + ], + [ + 1804, + 2794 + ], + [ + 10024, + 10052 + ], + [ + 2056, + 7179 + ], + [ + 5569, + 7514 + ], + [ + 1307, + 5371 + ], + [ + 4015, + 11163 + ], + [ + 1672, + 3806 + ], + [ + 3232, + 4109 + ], + [ + 10976, + 11438 + ], + [ + 1432, + 4319 + ], + [ + 1112, + 1897 + ], + [ + 649, + 675 + ], + [ + 2706, + 7446 + ], + [ + 1698, + 8410 + ], + [ + 180, + 1136 + ], + [ + 618, + 11161 + ], + [ + 4438, + 6543 + ], + [ + 10535, + 10914 + ], + [ + 6087, + 9547 + ], + [ + 2418, + 7918 + ], + [ + 2974, + 3669 + ], + [ + 7393, + 9179 + ], + [ + 5297, + 8115 + ], + [ + 2439, + 5762 + ], + [ + 291, + 8672 + ], + [ + 2738, + 5829 + ], + [ + 1525, + 3355 + ], + [ + 38, + 4062 + ], + [ + 11077, + 11089 + ], + [ + 189, + 8395 + ], + [ + 8881, + 11299 + ], + [ + 3156, + 11415 + ], + [ + 4137, + 8658 + ], + [ + 2211, + 3279 + ], + [ + 1746, + 7646 + ], + [ + 368, + 2661 + ], + [ + 6417, + 8496 + ], + [ + 2737, + 3325 + ], + [ + 1799, + 5028 + ], + [ + 2079, + 7297 + ], + [ + 3887, + 11112 + ], + [ + 5504, + 5533 + ], + [ + 5378, + 7114 + ], + [ + 4282, + 5225 + ], + [ + 4533, + 9008 + ], + [ + 7585, + 8194 + ], + [ + 75, + 2789 + ], + [ + 3010, + 7806 + ], + [ + 7428, + 10462 + ], + [ + 2139, + 8479 + ], + [ + 5623, + 10328 + ], + [ + 1358, + 1498 + ], + [ + 4317, + 7663 + ], + [ + 8453, + 11387 + ], + [ + 2321, + 3797 + ], + [ + 2782, + 9110 + ], + [ + 2412, + 3161 + ], + [ + 41, + 6588 + ], + [ + 886, + 2442 + ], + [ + 383, + 10489 + ], + [ + 1723, + 5568 + ], + [ + 482, + 1046 + ], + [ + 3147, + 6764 + ], + [ + 2191, + 11271 + ], + [ + 5202, + 10456 + ], + [ + 3459, + 11200 + ], + [ + 8039, + 8522 + ], + [ + 3123, + 4835 + ], + [ + 6069, + 7008 + ], + [ + 1616, + 7549 + ], + [ + 1036, + 4988 + ], + [ + 3760, + 4897 + ], + [ + 1743, + 7324 + ], + [ + 3303, + 6873 + ], + [ + 8679, + 9232 + ], + [ + 5620, + 8875 + ], + [ + 1737, + 5974 + ], + [ + 9600, + 11305 + ], + [ + 319, + 2344 + ], + [ + 9477, + 10151 + ], + [ + 4000, + 11123 + ], + [ + 3007, + 6703 + ], + [ + 6372, + 10550 + ], + [ + 2719, + 9454 + ], + [ + 3676, + 5549 + ], + [ + 751, + 1220 + ], + [ + 7287, + 9425 + ], + [ + 4028, + 10138 + ], + [ + 3376, + 5257 + ], + [ + 7603, + 11351 + ], + [ + 8138, + 8477 + ], + [ + 1507, + 3418 + ], + [ + 6225, + 6366 + ], + [ + 2898, + 8638 + ], + [ + 876, + 3551 + ], + [ + 7061, + 10021 + ], + [ + 5297, + 9888 + ], + [ + 3215, + 7002 + ], + [ + 552, + 10809 + ], + [ + 4705, + 5812 + ], + [ + 594, + 8002 + ], + [ + 6528, + 10689 + ], + [ + 3162, + 6617 + ], + [ + 8335, + 10869 + ], + [ + 7528, + 9083 + ], + [ + 2147, + 9763 + ], + [ + 2732, + 10416 + ], + [ + 707, + 8064 + ], + [ + 3446, + 9759 + ], + [ + 3504, + 8983 + ], + [ + 1384, + 7525 + ], + [ + 852, + 10670 + ], + [ + 4312, + 4955 + ], + [ + 2099, + 9722 + ], + [ + 4962, + 6757 + ], + [ + 8471, + 9602 + ], + [ + 6141, + 7368 + ], + [ + 850, + 10974 + ], + [ + 4238, + 5945 + ], + [ + 1223, + 9270 + ], + [ + 1345, + 4537 + ], + [ + 841, + 6724 + ], + [ + 8098, + 10525 + ], + [ + 7788, + 9545 + ], + [ + 997, + 7237 + ], + [ + 35, + 2130 + ], + [ + 527, + 1838 + ], + [ + 4105, + 9738 + ], + [ + 6195, + 10987 + ], + [ + 8086, + 10141 + ], + [ + 1579, + 3428 + ], + [ + 715, + 5272 + ], + [ + 6131, + 8528 + ], + [ + 6904, + 9232 + ], + [ + 3268, + 3579 + ], + [ + 10143, + 10496 + ], + [ + 929, + 9173 + ], + [ + 746, + 10220 + ], + [ + 5725, + 11223 + ], + [ + 739, + 9049 + ], + [ + 3748, + 5155 + ], + [ + 3691, + 4621 + ], + [ + 6337, + 9535 + ], + [ + 1201, + 10800 + ], + [ + 1387, + 10024 + ], + [ + 10535, + 10727 + ], + [ + 3720, + 3861 + ], + [ + 397, + 9285 + ], + [ + 180, + 10748 + ], + [ + 1471, + 5965 + ], + [ + 7047, + 11388 + ], + [ + 1362, + 5241 + ], + [ + 108, + 2766 + ], + [ + 1878, + 10261 + ], + [ + 2998, + 10292 + ], + [ + 9792, + 9865 + ], + [ + 5926, + 7722 + ], + [ + 2600, + 7213 + ], + [ + 4675, + 8928 + ], + [ + 1822, + 10329 + ], + [ + 2747, + 9892 + ], + [ + 1756, + 5545 + ], + [ + 5424, + 9955 + ], + [ + 381, + 11411 + ], + [ + 7258, + 8575 + ], + [ + 2437, + 8912 + ], + [ + 10090, + 10461 + ], + [ + 5391, + 7563 + ], + [ + 2275, + 10082 + ], + [ + 6858, + 8833 + ], + [ + 936, + 5025 + ], + [ + 1352, + 11319 + ], + [ + 2641, + 5709 + ], + [ + 7103, + 8637 + ], + [ + 439, + 7602 + ], + [ + 8037, + 9444 + ], + [ + 4720, + 8297 + ], + [ + 7898, + 10039 + ], + [ + 7736, + 11209 + ], + [ + 895, + 9538 + ], + [ + 9950, + 10050 + ], + [ + 6118, + 6737 + ], + [ + 868, + 10344 + ], + [ + 2019, + 9688 + ], + [ + 2795, + 9909 + ], + [ + 5257, + 8098 + ], + [ + 1446, + 9826 + ], + [ + 5338, + 7528 + ], + [ + 2163, + 2270 + ], + [ + 2595, + 2681 + ], + [ + 3630, + 10710 + ], + [ + 4086, + 10761 + ], + [ + 160, + 2151 + ], + [ + 393, + 4574 + ], + [ + 418, + 5570 + ], + [ + 1168, + 4570 + ], + [ + 4888, + 9170 + ], + [ + 8905, + 11482 + ], + [ + 4449, + 5336 + ], + [ + 1682, + 2347 + ], + [ + 5119, + 8514 + ], + [ + 1595, + 3102 + ], + [ + 2020, + 8758 + ], + [ + 535, + 3876 + ], + [ + 1769, + 4975 + ], + [ + 1868, + 9118 + ], + [ + 536, + 10894 + ], + [ + 3453, + 10417 + ], + [ + 9086, + 9958 + ], + [ + 3723, + 5582 + ], + [ + 390, + 3902 + ], + [ + 3667, + 7902 + ], + [ + 2788, + 4550 + ], + [ + 2736, + 8524 + ], + [ + 4229, + 6851 + ], + [ + 2450, + 7938 + ], + [ + 2080, + 2743 + ], + [ + 1171, + 7096 + ], + [ + 4285, + 10166 + ], + [ + 885, + 7264 + ], + [ + 8603, + 9208 + ], + [ + 3441, + 9252 + ], + [ + 4318, + 9525 + ], + [ + 8886, + 9496 + ], + [ + 4778, + 10449 + ], + [ + 5201, + 6610 + ], + [ + 963, + 9025 + ], + [ + 5295, + 6245 + ], + [ + 3835, + 6523 + ], + [ + 1412, + 9760 + ], + [ + 3293, + 8226 + ], + [ + 1462, + 2707 + ], + [ + 1153, + 5335 + ], + [ + 5470, + 7185 + ], + [ + 9026, + 9102 + ], + [ + 1278, + 10699 + ], + [ + 2641, + 7482 + ], + [ + 3611, + 10952 + ], + [ + 6381, + 7042 + ], + [ + 5228, + 11035 + ], + [ + 2632, + 3232 + ], + [ + 4600, + 5050 + ], + [ + 245, + 6126 + ], + [ + 3755, + 6944 + ], + [ + 3915, + 4947 + ], + [ + 4506, + 11050 + ], + [ + 8052, + 8115 + ], + [ + 143, + 9232 + ], + [ + 9789, + 10185 + ], + [ + 6697, + 10846 + ], + [ + 811, + 10859 + ], + [ + 293, + 9930 + ], + [ + 6297, + 7694 + ], + [ + 7565, + 7623 + ], + [ + 3714, + 10676 + ], + [ + 8134, + 9995 + ], + [ + 4865, + 5856 + ], + [ + 3521, + 6871 + ], + [ + 3961, + 10553 + ], + [ + 553, + 2872 + ], + [ + 286, + 5726 + ], + [ + 2280, + 2349 + ], + [ + 4790, + 9654 + ], + [ + 3389, + 7883 + ], + [ + 3893, + 9860 + ], + [ + 5041, + 10404 + ], + [ + 5561, + 6498 + ], + [ + 3536, + 4146 + ], + [ + 1517, + 2740 + ], + [ + 5816, + 10400 + ], + [ + 3378, + 6189 + ], + [ + 2628, + 5691 + ], + [ + 5783, + 8762 + ], + [ + 3068, + 5209 + ], + [ + 4260, + 7560 + ], + [ + 6300, + 10220 + ], + [ + 4469, + 11117 + ], + [ + 3026, + 5737 + ], + [ + 2348, + 6051 + ], + [ + 544, + 3109 + ], + [ + 11242, + 11341 + ], + [ + 198, + 2472 + ], + [ + 4218, + 10717 + ], + [ + 5113, + 5934 + ], + [ + 2406, + 9412 + ], + [ + 5073, + 8787 + ], + [ + 160, + 9535 + ], + [ + 807, + 6902 + ], + [ + 7379, + 9846 + ], + [ + 1397, + 3735 + ], + [ + 6505, + 6838 + ], + [ + 1591, + 6984 + ], + [ + 3738, + 3849 + ], + [ + 32, + 3119 + ], + [ + 350, + 2462 + ], + [ + 6012, + 6905 + ], + [ + 8940, + 10751 + ], + [ + 6223, + 11289 + ], + [ + 1146, + 3335 + ], + [ + 2300, + 8612 + ], + [ + 5106, + 5113 + ], + [ + 3454, + 7473 + ], + [ + 648, + 9474 + ], + [ + 2270, + 9901 + ], + [ + 3827, + 10687 + ], + [ + 3109, + 8192 + ], + [ + 2044, + 7868 + ], + [ + 1731, + 3207 + ], + [ + 2070, + 2673 + ], + [ + 2233, + 4357 + ], + [ + 8671, + 9021 + ], + [ + 1350, + 9931 + ], + [ + 1023, + 1400 + ], + [ + 1267, + 8176 + ], + [ + 7418, + 9400 + ], + [ + 7017, + 9056 + ], + [ + 766, + 3464 + ], + [ + 1798, + 7812 + ], + [ + 3379, + 8992 + ], + [ + 5471, + 6150 + ], + [ + 4024, + 9696 + ], + [ + 2317, + 5933 + ], + [ + 7239, + 10566 + ], + [ + 763, + 3166 + ], + [ + 286, + 10182 + ], + [ + 5740, + 7506 + ], + [ + 2877, + 4809 + ], + [ + 3376, + 5688 + ], + [ + 2104, + 8269 + ], + [ + 4898, + 9671 + ], + [ + 8005, + 9318 + ], + [ + 1186, + 4962 + ], + [ + 4298, + 9117 + ], + [ + 2245, + 4717 + ], + [ + 2052, + 10738 + ], + [ + 4729, + 5139 + ], + [ + 8839, + 9894 + ], + [ + 310, + 8674 + ], + [ + 8712, + 11250 + ], + [ + 3641, + 6494 + ], + [ + 546, + 3474 + ], + [ + 4759, + 9862 + ], + [ + 55, + 10784 + ], + [ + 308, + 4814 + ], + [ + 8613, + 10490 + ], + [ + 7147, + 9822 + ], + [ + 1039, + 7544 + ], + [ + 7494, + 7651 + ], + [ + 5247, + 6418 + ], + [ + 3884, + 9635 + ], + [ + 3160, + 3188 + ], + [ + 894, + 7540 + ], + [ + 8002, + 11275 + ], + [ + 7071, + 7733 + ], + [ + 3210, + 5934 + ], + [ + 784, + 3238 + ], + [ + 2747, + 4712 + ], + [ + 109, + 10239 + ], + [ + 5892, + 7095 + ], + [ + 2062, + 4609 + ], + [ + 659, + 7673 + ], + [ + 4275, + 9641 + ], + [ + 5134, + 5201 + ], + [ + 4576, + 6371 + ], + [ + 283, + 8325 + ], + [ + 1250, + 5862 + ], + [ + 3056, + 8850 + ], + [ + 3020, + 6941 + ], + [ + 7696, + 10387 + ], + [ + 4423, + 8758 + ], + [ + 457, + 7165 + ], + [ + 3325, + 10960 + ], + [ + 1993, + 6320 + ], + [ + 6186, + 7168 + ], + [ + 3166, + 5985 + ], + [ + 8812, + 9895 + ], + [ + 1579, + 7242 + ], + [ + 6379, + 10192 + ], + [ + 3418, + 10370 + ], + [ + 4973, + 10329 + ], + [ + 765, + 2033 + ], + [ + 450, + 2961 + ], + [ + 4837, + 10468 + ], + [ + 179, + 8325 + ], + [ + 3417, + 10899 + ], + [ + 210, + 7638 + ], + [ + 10443, + 11569 + ], + [ + 2105, + 9917 + ], + [ + 383, + 5122 + ], + [ + 2870, + 9225 + ], + [ + 4181, + 5818 + ], + [ + 4515, + 4940 + ], + [ + 2193, + 2567 + ], + [ + 6322, + 11536 + ], + [ + 3175, + 6074 + ], + [ + 904, + 1037 + ], + [ + 1627, + 7259 + ], + [ + 6222, + 11305 + ], + [ + 9125, + 11122 + ], + [ + 2324, + 7372 + ], + [ + 4328, + 8847 + ], + [ + 8552, + 11260 + ], + [ + 5782, + 8000 + ], + [ + 4973, + 6141 + ], + [ + 458, + 9214 + ], + [ + 3080, + 9570 + ], + [ + 250, + 2849 + ], + [ + 4415, + 11475 + ], + [ + 2259, + 6196 + ], + [ + 2441, + 5678 + ], + [ + 794, + 8382 + ], + [ + 3039, + 6536 + ], + [ + 1384, + 2963 + ], + [ + 4508, + 10885 + ], + [ + 10886, + 11334 + ], + [ + 3374, + 8512 + ], + [ + 10313, + 11472 + ], + [ + 234, + 811 + ], + [ + 4130, + 11464 + ], + [ + 1873, + 9543 + ], + [ + 6735, + 9207 + ], + [ + 5861, + 6199 + ], + [ + 71, + 8926 + ], + [ + 7540, + 7914 + ], + [ + 661, + 9923 + ], + [ + 729, + 1921 + ], + [ + 10343, + 10533 + ], + [ + 4391, + 5762 + ], + [ + 129, + 2865 + ], + [ + 4102, + 5659 + ], + [ + 1218, + 1331 + ], + [ + 1658, + 8019 + ], + [ + 153, + 1761 + ], + [ + 7353, + 8438 + ], + [ + 5703, + 5963 + ], + [ + 8738, + 9706 + ], + [ + 1398, + 6402 + ], + [ + 3514, + 8872 + ], + [ + 927, + 10200 + ], + [ + 7644, + 7863 + ], + [ + 1928, + 6567 + ], + [ + 10109, + 10487 + ], + [ + 3357, + 7353 + ], + [ + 3751, + 11444 + ], + [ + 368, + 5483 + ], + [ + 9915, + 10621 + ], + [ + 139, + 3933 + ], + [ + 1443, + 5771 + ], + [ + 1582, + 9313 + ], + [ + 8056, + 9470 + ], + [ + 10508, + 11135 + ], + [ + 1414, + 10668 + ], + [ + 7207, + 8212 + ], + [ + 4903, + 6445 + ], + [ + 1008, + 3564 + ], + [ + 1190, + 4544 + ], + [ + 5605, + 7683 + ], + [ + 517, + 5956 + ], + [ + 2963, + 10058 + ], + [ + 3087, + 5398 + ], + [ + 2371, + 5982 + ], + [ + 4014, + 5788 + ], + [ + 1567, + 8631 + ], + [ + 2403, + 2487 + ], + [ + 5164, + 7159 + ], + [ + 41, + 6377 + ], + [ + 3582, + 8760 + ], + [ + 9115, + 11103 + ], + [ + 7969, + 9851 + ], + [ + 8318, + 10759 + ], + [ + 4956, + 9839 + ], + [ + 5505, + 10835 + ], + [ + 4578, + 4783 + ], + [ + 7445, + 10605 + ], + [ + 3671, + 11434 + ], + [ + 5943, + 7247 + ], + [ + 704, + 11043 + ], + [ + 4250, + 7354 + ], + [ + 989, + 1578 + ], + [ + 5904, + 11456 + ], + [ + 2007, + 6994 + ], + [ + 1262, + 6840 + ], + [ + 845, + 7491 + ], + [ + 4021, + 5023 + ], + [ + 5027, + 7396 + ], + [ + 1404, + 2759 + ], + [ + 5483, + 8201 + ], + [ + 4526, + 9854 + ], + [ + 8703, + 9415 + ], + [ + 9682, + 9995 + ], + [ + 4828, + 9438 + ], + [ + 6085, + 9932 + ], + [ + 4239, + 9797 + ], + [ + 8525, + 10082 + ], + [ + 4079, + 5378 + ], + [ + 2556, + 4176 + ], + [ + 7006, + 9753 + ], + [ + 2323, + 5136 + ], + [ + 9409, + 10745 + ], + [ + 1773, + 11085 + ], + [ + 1678, + 7061 + ], + [ + 1676, + 11152 + ], + [ + 2636, + 6764 + ], + [ + 1361, + 5664 + ], + [ + 7183, + 8110 + ], + [ + 457, + 10361 + ], + [ + 3858, + 10455 + ], + [ + 1365, + 5783 + ], + [ + 2470, + 4782 + ], + [ + 3978, + 8305 + ], + [ + 2507, + 7293 + ], + [ + 10975, + 11243 + ], + [ + 3408, + 8714 + ], + [ + 7921, + 8224 + ], + [ + 1357, + 5141 + ], + [ + 7678, + 9220 + ], + [ + 1172, + 9525 + ], + [ + 5079, + 6781 + ], + [ + 2286, + 8987 + ], + [ + 5328, + 9737 + ], + [ + 2255, + 3258 + ], + [ + 5457, + 6175 + ], + [ + 2566, + 11256 + ], + [ + 7604, + 9456 + ], + [ + 94, + 1799 + ], + [ + 6630, + 9250 + ], + [ + 6239, + 9594 + ], + [ + 778, + 1677 + ], + [ + 2410, + 3546 + ], + [ + 1808, + 5198 + ], + [ + 4760, + 7940 + ], + [ + 2241, + 8463 + ], + [ + 5073, + 6185 + ], + [ + 3541, + 7149 + ], + [ + 1326, + 2421 + ], + [ + 3734, + 10173 + ], + [ + 2480, + 7698 + ], + [ + 7898, + 10283 + ], + [ + 3569, + 6164 + ], + [ + 5938, + 8326 + ], + [ + 8608, + 11382 + ], + [ + 482, + 753 + ], + [ + 6459, + 7274 + ], + [ + 2290, + 5322 + ], + [ + 2018, + 7078 + ], + [ + 4686, + 5143 + ], + [ + 6145, + 8804 + ], + [ + 4634, + 9117 + ], + [ + 489, + 1143 + ], + [ + 5279, + 6411 + ], + [ + 83, + 455 + ], + [ + 1476, + 5748 + ], + [ + 4867, + 11570 + ], + [ + 5178, + 8988 + ], + [ + 3994, + 11416 + ], + [ + 4121, + 7027 + ], + [ + 5084, + 6320 + ], + [ + 7453, + 9236 + ], + [ + 2902, + 6236 + ], + [ + 10348, + 10690 + ], + [ + 1771, + 1882 + ], + [ + 5074, + 11267 + ], + [ + 1836, + 6441 + ], + [ + 91, + 6358 + ], + [ + 4948, + 6432 + ], + [ + 1491, + 2242 + ], + [ + 1370, + 10583 + ], + [ + 8027, + 10447 + ], + [ + 5539, + 11037 + ], + [ + 2079, + 3166 + ], + [ + 3234, + 9045 + ], + [ + 8947, + 10043 + ], + [ + 6366, + 10442 + ], + [ + 1486, + 2248 + ], + [ + 77, + 2114 + ], + [ + 1479, + 5241 + ], + [ + 415, + 8525 + ], + [ + 9167, + 11480 + ], + [ + 7074, + 8435 + ], + [ + 7698, + 8262 + ], + [ + 4981, + 11052 + ], + [ + 1311, + 5815 + ], + [ + 4370, + 6926 + ], + [ + 2343, + 10163 + ], + [ + 4862, + 7388 + ], + [ + 11111, + 11399 + ], + [ + 7281, + 8913 + ], + [ + 4459, + 6217 + ], + [ + 1967, + 10815 + ], + [ + 6532, + 11269 + ], + [ + 312, + 7996 + ], + [ + 5921, + 9395 + ], + [ + 3856, + 7644 + ], + [ + 4883, + 5232 + ], + [ + 7995, + 10885 + ], + [ + 1372, + 10605 + ], + [ + 7509, + 7959 + ], + [ + 954, + 1986 + ], + [ + 563, + 2330 + ], + [ + 10229, + 11132 + ], + [ + 3192, + 5385 + ], + [ + 2323, + 2721 + ], + [ + 2976, + 3286 + ], + [ + 3757, + 3851 + ], + [ + 78, + 7950 + ], + [ + 2163, + 3937 + ], + [ + 2259, + 10815 + ], + [ + 1108, + 2803 + ], + [ + 2563, + 11226 + ], + [ + 894, + 3783 + ], + [ + 3473, + 7475 + ], + [ + 6262, + 8533 + ], + [ + 9560, + 11158 + ], + [ + 945, + 4502 + ], + [ + 3780, + 5905 + ], + [ + 2627, + 5734 + ], + [ + 4795, + 7640 + ], + [ + 3239, + 4046 + ], + [ + 6635, + 10212 + ], + [ + 6237, + 7133 + ], + [ + 7603, + 10603 + ], + [ + 2521, + 11350 + ], + [ + 441, + 2875 + ], + [ + 2180, + 11057 + ], + [ + 2271, + 11175 + ], + [ + 4107, + 4206 + ], + [ + 745, + 3286 + ], + [ + 440, + 9820 + ], + [ + 67, + 190 + ], + [ + 7212, + 9442 + ], + [ + 2945, + 3949 + ], + [ + 3364, + 9760 + ], + [ + 1513, + 2865 + ], + [ + 6373, + 8872 + ], + [ + 1394, + 1453 + ], + [ + 5416, + 10525 + ], + [ + 1015, + 4086 + ], + [ + 9234, + 9244 + ], + [ + 8401, + 8489 + ], + [ + 1988, + 11237 + ], + [ + 302, + 6099 + ], + [ + 4192, + 9390 + ], + [ + 296, + 2120 + ], + [ + 1856, + 6587 + ], + [ + 1880, + 11145 + ], + [ + 1285, + 2634 + ], + [ + 704, + 7018 + ], + [ + 3771, + 9518 + ], + [ + 944, + 6478 + ], + [ + 2690, + 9415 + ], + [ + 389, + 4913 + ], + [ + 2003, + 6233 + ], + [ + 8842, + 11241 + ], + [ + 2803, + 3842 + ], + [ + 3828, + 7019 + ], + [ + 4542, + 6362 + ], + [ + 6756, + 10865 + ], + [ + 4075, + 6896 + ], + [ + 2115, + 9857 + ], + [ + 6941, + 9864 + ], + [ + 3149, + 3698 + ], + [ + 4135, + 5449 + ], + [ + 1513, + 5093 + ], + [ + 4348, + 6496 + ], + [ + 2732, + 8513 + ], + [ + 717, + 1187 + ], + [ + 343, + 11334 + ], + [ + 6595, + 10358 + ], + [ + 3228, + 5684 + ], + [ + 8479, + 9095 + ], + [ + 4000, + 8415 + ], + [ + 2415, + 4083 + ], + [ + 2657, + 10032 + ], + [ + 3162, + 8447 + ], + [ + 1195, + 3067 + ], + [ + 2841, + 8806 + ], + [ + 11054, + 11483 + ], + [ + 975, + 4986 + ], + [ + 2747, + 9144 + ], + [ + 7819, + 10338 + ], + [ + 627, + 3522 + ], + [ + 3211, + 7558 + ], + [ + 6700, + 7499 + ], + [ + 4040, + 10823 + ], + [ + 1956, + 11274 + ], + [ + 3924, + 6676 + ], + [ + 4643, + 5609 + ], + [ + 6446, + 9080 + ], + [ + 3917, + 5505 + ], + [ + 990, + 10929 + ], + [ + 558, + 9020 + ], + [ + 7097, + 7320 + ], + [ + 5696, + 7801 + ], + [ + 6440, + 8484 + ], + [ + 2910, + 9673 + ], + [ + 42, + 5878 + ], + [ + 6891, + 11574 + ], + [ + 2562, + 5957 + ], + [ + 175, + 2435 + ], + [ + 5330, + 5384 + ], + [ + 6918, + 7735 + ], + [ + 4431, + 7015 + ], + [ + 785, + 6336 + ], + [ + 7046, + 10364 + ], + [ + 4840, + 4968 + ], + [ + 1910, + 4459 + ], + [ + 3429, + 11177 + ], + [ + 4365, + 6395 + ], + [ + 1347, + 6039 + ], + [ + 2930, + 7292 + ], + [ + 4048, + 4244 + ], + [ + 3394, + 5706 + ], + [ + 1116, + 2908 + ], + [ + 5386, + 5666 + ], + [ + 310, + 11146 + ], + [ + 6036, + 6714 + ], + [ + 7751, + 10338 + ], + [ + 3643, + 9793 + ], + [ + 6965, + 7150 + ], + [ + 4625, + 9890 + ], + [ + 6249, + 11144 + ], + [ + 11106, + 11218 + ], + [ + 8360, + 9106 + ], + [ + 8246, + 11448 + ], + [ + 5586, + 8356 + ], + [ + 6747, + 9142 + ], + [ + 765, + 2277 + ], + [ + 9111, + 10960 + ], + [ + 2478, + 2822 + ], + [ + 728, + 2395 + ], + [ + 669, + 5198 + ], + [ + 1565, + 6275 + ], + [ + 732, + 9684 + ], + [ + 381, + 8703 + ], + [ + 3880, + 11584 + ], + [ + 569, + 11383 + ], + [ + 8222, + 8768 + ], + [ + 4526, + 9480 + ], + [ + 2933, + 6785 + ], + [ + 1221, + 2678 + ], + [ + 995, + 7061 + ], + [ + 3486, + 4490 + ], + [ + 4324, + 5589 + ], + [ + 2452, + 3479 + ], + [ + 13, + 6183 + ], + [ + 10837, + 11336 + ], + [ + 679, + 8518 + ], + [ + 5075, + 7443 + ], + [ + 4677, + 6616 + ], + [ + 6129, + 9106 + ], + [ + 6202, + 7110 + ], + [ + 4315, + 11138 + ], + [ + 4046, + 5995 + ], + [ + 1620, + 3299 + ], + [ + 4760, + 5338 + ], + [ + 4142, + 6457 + ], + [ + 6994, + 11247 + ], + [ + 452, + 9643 + ], + [ + 56, + 9643 + ], + [ + 2508, + 7144 + ], + [ + 735, + 5013 + ], + [ + 5654, + 5965 + ], + [ + 539, + 1691 + ], + [ + 826, + 5131 + ], + [ + 576, + 10618 + ], + [ + 7360, + 9503 + ], + [ + 7293, + 8281 + ], + [ + 2061, + 2668 + ], + [ + 7704, + 10067 + ], + [ + 1164, + 4372 + ], + [ + 6492, + 10447 + ], + [ + 9382, + 11557 + ], + [ + 380, + 9925 + ], + [ + 2565, + 8028 + ], + [ + 5679, + 11098 + ], + [ + 595, + 5383 + ], + [ + 3735, + 7422 + ], + [ + 1068, + 1631 + ], + [ + 7325, + 10421 + ], + [ + 6604, + 7655 + ], + [ + 6320, + 7896 + ], + [ + 833, + 1764 + ], + [ + 1431, + 9038 + ], + [ + 533, + 1472 + ], + [ + 345, + 8591 + ], + [ + 6795, + 10606 + ], + [ + 252, + 5394 + ], + [ + 6230, + 8353 + ], + [ + 4568, + 10779 + ], + [ + 1341, + 9495 + ], + [ + 3258, + 7618 + ], + [ + 1295, + 2734 + ], + [ + 584, + 7826 + ], + [ + 4381, + 7920 + ], + [ + 4723, + 11067 + ], + [ + 2832, + 5497 + ], + [ + 1167, + 1236 + ], + [ + 985, + 5137 + ], + [ + 18, + 6102 + ], + [ + 4185, + 7227 + ], + [ + 5714, + 9375 + ], + [ + 3560, + 4923 + ], + [ + 3661, + 5729 + ], + [ + 2778, + 11303 + ], + [ + 3182, + 11164 + ], + [ + 5142, + 6705 + ], + [ + 5852, + 8558 + ], + [ + 563, + 2411 + ], + [ + 2710, + 5692 + ], + [ + 7140, + 9863 + ], + [ + 1805, + 7535 + ], + [ + 3114, + 10471 + ], + [ + 4308, + 6479 + ], + [ + 5602, + 7629 + ], + [ + 728, + 4168 + ], + [ + 1221, + 7484 + ], + [ + 1830, + 2869 + ], + [ + 4773, + 7747 + ], + [ + 9532, + 10696 + ], + [ + 2116, + 8336 + ], + [ + 1653, + 7114 + ], + [ + 6775, + 7671 + ], + [ + 4352, + 10908 + ], + [ + 7225, + 8631 + ], + [ + 155, + 492 + ], + [ + 1674, + 4958 + ], + [ + 2942, + 4887 + ], + [ + 581, + 9002 + ], + [ + 2828, + 7983 + ], + [ + 3129, + 11129 + ], + [ + 1704, + 6298 + ], + [ + 1195, + 1725 + ], + [ + 1822, + 8239 + ], + [ + 2505, + 8269 + ], + [ + 2071, + 11195 + ], + [ + 2787, + 4949 + ], + [ + 2031, + 5380 + ], + [ + 7421, + 8169 + ], + [ + 816, + 2079 + ], + [ + 1005, + 4984 + ], + [ + 2316, + 8747 + ], + [ + 3589, + 9020 + ], + [ + 659, + 4347 + ], + [ + 2966, + 9795 + ], + [ + 192, + 5635 + ], + [ + 2284, + 2793 + ], + [ + 5451, + 6655 + ], + [ + 4360, + 8116 + ], + [ + 4246, + 11212 + ], + [ + 3114, + 9666 + ], + [ + 4850, + 5499 + ], + [ + 1806, + 3168 + ], + [ + 1064, + 8947 + ], + [ + 5317, + 7594 + ], + [ + 5762, + 8210 + ], + [ + 5125, + 10807 + ], + [ + 8459, + 8925 + ], + [ + 2418, + 7869 + ], + [ + 3569, + 7213 + ], + [ + 1327, + 6324 + ], + [ + 9119, + 11415 + ], + [ + 6129, + 6691 + ], + [ + 6039, + 10181 + ], + [ + 6779, + 7739 + ], + [ + 1667, + 7146 + ], + [ + 491, + 9435 + ], + [ + 150, + 2726 + ], + [ + 3262, + 9133 + ], + [ + 4009, + 4452 + ], + [ + 5471, + 7630 + ], + [ + 6553, + 9089 + ], + [ + 727, + 11405 + ], + [ + 758, + 10718 + ], + [ + 233, + 7864 + ], + [ + 4898, + 11151 + ], + [ + 2322, + 11140 + ], + [ + 5273, + 10274 + ], + [ + 3903, + 10068 + ], + [ + 9567, + 11174 + ], + [ + 7096, + 8735 + ], + [ + 778, + 8337 + ], + [ + 5924, + 8514 + ], + [ + 4740, + 6778 + ], + [ + 605, + 10072 + ], + [ + 4614, + 8359 + ], + [ + 4977, + 5967 + ], + [ + 37, + 4892 + ], + [ + 211, + 6011 + ], + [ + 5171, + 6964 + ], + [ + 6193, + 6460 + ], + [ + 1430, + 10185 + ], + [ + 1552, + 11114 + ], + [ + 10086, + 10426 + ], + [ + 4267, + 7497 + ], + [ + 3271, + 3560 + ], + [ + 2028, + 11043 + ], + [ + 1982, + 4282 + ], + [ + 7088, + 11476 + ], + [ + 3165, + 8045 + ], + [ + 2919, + 4606 + ], + [ + 9861, + 11247 + ], + [ + 3228, + 6115 + ], + [ + 5874, + 11029 + ], + [ + 1447, + 4123 + ], + [ + 7772, + 10573 + ], + [ + 1826, + 4119 + ], + [ + 5764, + 10110 + ], + [ + 3785, + 8103 + ], + [ + 2291, + 5387 + ], + [ + 8258, + 11220 + ], + [ + 1094, + 2665 + ], + [ + 2810, + 6891 + ], + [ + 2954, + 10053 + ], + [ + 588, + 7408 + ], + [ + 10011, + 10790 + ], + [ + 4670, + 8617 + ], + [ + 6977, + 9901 + ], + [ + 1050, + 2743 + ], + [ + 3947, + 7276 + ], + [ + 9828, + 11083 + ], + [ + 934, + 5012 + ], + [ + 8365, + 10686 + ], + [ + 60, + 2004 + ], + [ + 2353, + 11526 + ], + [ + 3640, + 4315 + ], + [ + 3165, + 7240 + ], + [ + 3538, + 4038 + ], + [ + 6019, + 6441 + ], + [ + 3293, + 9869 + ], + [ + 6536, + 8623 + ], + [ + 1631, + 5879 + ], + [ + 1080, + 8220 + ], + [ + 584, + 11022 + ], + [ + 7547, + 11370 + ], + [ + 6526, + 11318 + ], + [ + 4647, + 8791 + ], + [ + 7143, + 10728 + ], + [ + 2126, + 2825 + ], + [ + 2279, + 3067 + ], + [ + 355, + 1521 + ], + [ + 1809, + 4838 + ], + [ + 3020, + 10649 + ], + [ + 2366, + 5695 + ], + [ + 9248, + 10750 + ], + [ + 8090, + 8737 + ], + [ + 3542, + 9418 + ], + [ + 4939, + 8037 + ], + [ + 271, + 4452 + ], + [ + 8305, + 9076 + ], + [ + 4468, + 5419 + ], + [ + 1013, + 9226 + ], + [ + 5997, + 10573 + ], + [ + 4006, + 11215 + ], + [ + 7514, + 11206 + ], + [ + 3871, + 4382 + ], + [ + 5268, + 7165 + ], + [ + 1633, + 10782 + ], + [ + 420, + 8308 + ], + [ + 6519, + 9342 + ], + [ + 6641, + 8773 + ], + [ + 4116, + 5317 + ], + [ + 8221, + 9728 + ], + [ + 219, + 855 + ], + [ + 6624, + 10297 + ], + [ + 2049, + 2739 + ], + [ + 283, + 8195 + ], + [ + 2005, + 6574 + ], + [ + 6529, + 7027 + ], + [ + 9, + 9878 + ], + [ + 5011, + 6169 + ], + [ + 3055, + 5866 + ], + [ + 6134, + 9881 + ], + [ + 268, + 10546 + ], + [ + 3162, + 9146 + ], + [ + 746, + 7138 + ], + [ + 990, + 9750 + ], + [ + 7683, + 9271 + ], + [ + 1864, + 4090 + ], + [ + 2296, + 9382 + ], + [ + 3659, + 6919 + ], + [ + 1293, + 10690 + ], + [ + 6671, + 8958 + ], + [ + 3372, + 6862 + ], + [ + 882, + 5871 + ], + [ + 3991, + 8597 + ], + [ + 9510, + 11234 + ], + [ + 11177, + 11434 + ], + [ + 2406, + 9900 + ], + [ + 494, + 9145 + ], + [ + 2925, + 5769 + ], + [ + 2085, + 8007 + ], + [ + 660, + 3930 + ], + [ + 10980, + 11270 + ], + [ + 3917, + 6554 + ], + [ + 4481, + 8582 + ], + [ + 674, + 1384 + ], + [ + 6659, + 11176 + ], + [ + 2363, + 3787 + ], + [ + 5004, + 8357 + ], + [ + 814, + 7780 + ], + [ + 2421, + 7175 + ], + [ + 6636, + 10226 + ], + [ + 5908, + 6289 + ], + [ + 8425, + 9103 + ], + [ + 5257, + 11432 + ], + [ + 2456, + 3197 + ], + [ + 4257, + 10005 + ], + [ + 5769, + 6884 + ], + [ + 3110, + 11534 + ], + [ + 4132, + 8778 + ], + [ + 2609, + 6822 + ], + [ + 6149, + 9734 + ], + [ + 6460, + 7152 + ], + [ + 1909, + 4906 + ], + [ + 9911, + 10773 + ], + [ + 503, + 8453 + ], + [ + 8505, + 10910 + ], + [ + 2182, + 10168 + ], + [ + 6490, + 9246 + ], + [ + 7971, + 10222 + ], + [ + 564, + 5696 + ], + [ + 3996, + 11519 + ], + [ + 3137, + 8819 + ], + [ + 5053, + 10447 + ], + [ + 2015, + 2299 + ], + [ + 1340, + 9300 + ], + [ + 1054, + 6462 + ], + [ + 2709, + 3619 + ], + [ + 1117, + 4532 + ], + [ + 626, + 6924 + ], + [ + 10328, + 11219 + ], + [ + 49, + 10326 + ], + [ + 1446, + 5939 + ], + [ + 2426, + 10097 + ], + [ + 801, + 2202 + ], + [ + 9629, + 9905 + ], + [ + 1262, + 7515 + ], + [ + 5247, + 10289 + ], + [ + 1252, + 6046 + ], + [ + 8258, + 10228 + ], + [ + 10276, + 11409 + ], + [ + 11148, + 11338 + ], + [ + 3926, + 5811 + ], + [ + 7845, + 10998 + ], + [ + 9405, + 11301 + ], + [ + 3452, + 9338 + ], + [ + 8032, + 10824 + ], + [ + 121, + 4321 + ], + [ + 714, + 11251 + ], + [ + 3615, + 4606 + ], + [ + 432, + 5903 + ], + [ + 6197, + 7815 + ], + [ + 564, + 1858 + ], + [ + 6030, + 9395 + ], + [ + 1807, + 4174 + ], + [ + 4448, + 7963 + ], + [ + 3132, + 3856 + ], + [ + 117, + 7181 + ], + [ + 7333, + 8729 + ], + [ + 5153, + 9472 + ], + [ + 3133, + 5212 + ], + [ + 1474, + 6401 + ], + [ + 5531, + 5860 + ], + [ + 5615, + 11223 + ], + [ + 5269, + 10586 + ], + [ + 2375, + 5570 + ], + [ + 3751, + 7476 + ], + [ + 1825, + 4349 + ], + [ + 5304, + 5854 + ], + [ + 5705, + 6952 + ], + [ + 1130, + 3558 + ], + [ + 603, + 11211 + ], + [ + 7571, + 7739 + ], + [ + 5694, + 6039 + ], + [ + 467, + 770 + ], + [ + 3119, + 9636 + ], + [ + 7560, + 7580 + ], + [ + 1336, + 6817 + ], + [ + 246, + 8880 + ], + [ + 3988, + 9267 + ], + [ + 8561, + 8828 + ], + [ + 4423, + 8441 + ], + [ + 332, + 1484 + ], + [ + 4315, + 4966 + ], + [ + 5665, + 7903 + ], + [ + 3131, + 3230 + ], + [ + 4758, + 8919 + ], + [ + 1360, + 1926 + ], + [ + 5260, + 10069 + ], + [ + 3634, + 11398 + ], + [ + 3567, + 10176 + ], + [ + 360, + 499 + ], + [ + 108, + 5913 + ], + [ + 9947, + 10671 + ], + [ + 4343, + 9616 + ], + [ + 5437, + 7672 + ], + [ + 3787, + 5197 + ], + [ + 4313, + 10905 + ], + [ + 3537, + 4268 + ], + [ + 1259, + 8640 + ], + [ + 2000, + 11304 + ], + [ + 4865, + 5002 + ], + [ + 2414, + 10355 + ], + [ + 6170, + 8196 + ], + [ + 10598, + 11540 + ], + [ + 1599, + 7927 + ], + [ + 971, + 8358 + ], + [ + 5570, + 9894 + ], + [ + 4675, + 6009 + ], + [ + 2923, + 11171 + ], + [ + 5082, + 10305 + ], + [ + 3363, + 9191 + ], + [ + 3886, + 11218 + ], + [ + 7936, + 9506 + ], + [ + 346, + 5273 + ], + [ + 5163, + 5948 + ], + [ + 1481, + 5612 + ], + [ + 2396, + 9375 + ], + [ + 2107, + 2856 + ], + [ + 1666, + 4611 + ], + [ + 10361, + 11196 + ], + [ + 8145, + 10030 + ], + [ + 2443, + 7686 + ], + [ + 49, + 7911 + ], + [ + 5873, + 11184 + ], + [ + 4719, + 10788 + ], + [ + 6142, + 8376 + ], + [ + 8547, + 10949 + ], + [ + 139, + 1388 + ], + [ + 3942, + 11096 + ], + [ + 5838, + 11348 + ], + [ + 9961, + 10703 + ], + [ + 2963, + 10546 + ], + [ + 721, + 9657 + ], + [ + 5891, + 7976 + ], + [ + 5545, + 7339 + ], + [ + 5483, + 6461 + ], + [ + 1407, + 6952 + ], + [ + 2993, + 6224 + ], + [ + 6630, + 8315 + ], + [ + 10652, + 10971 + ], + [ + 6528, + 8038 + ], + [ + 1392, + 2887 + ], + [ + 9620, + 10760 + ], + [ + 2419, + 9520 + ], + [ + 395, + 10776 + ], + [ + 1923, + 5906 + ], + [ + 4342, + 7431 + ], + [ + 7396, + 10450 + ], + [ + 4434, + 10403 + ], + [ + 8895, + 9723 + ], + [ + 1191, + 5233 + ], + [ + 8205, + 9276 + ], + [ + 3532, + 5347 + ], + [ + 4030, + 9007 + ], + [ + 3068, + 3900 + ], + [ + 363, + 8205 + ], + [ + 7070, + 10815 + ], + [ + 5389, + 6021 + ], + [ + 1347, + 6096 + ], + [ + 4853, + 5260 + ], + [ + 288, + 9724 + ], + [ + 3144, + 11250 + ], + [ + 6855, + 10072 + ], + [ + 1771, + 7363 + ], + [ + 2146, + 6486 + ], + [ + 3543, + 9269 + ], + [ + 4107, + 11297 + ], + [ + 6543, + 8265 + ], + [ + 4692, + 7786 + ], + [ + 8936, + 9323 + ], + [ + 5130, + 11395 + ], + [ + 6336, + 10446 + ], + [ + 991, + 10783 + ], + [ + 1070, + 2970 + ], + [ + 3033, + 4444 + ], + [ + 3315, + 3376 + ], + [ + 3256, + 6179 + ], + [ + 1862, + 7077 + ], + [ + 135, + 1938 + ], + [ + 926, + 3191 + ], + [ + 2548, + 10788 + ], + [ + 9764, + 11582 + ], + [ + 4119, + 8274 + ], + [ + 2880, + 6831 + ], + [ + 1970, + 4166 + ], + [ + 3972, + 4814 + ], + [ + 4772, + 9593 + ], + [ + 7328, + 11581 + ], + [ + 3027, + 3094 + ], + [ + 9255, + 10392 + ], + [ + 8818, + 10391 + ], + [ + 5020, + 5908 + ], + [ + 8499, + 11577 + ], + [ + 3301, + 5548 + ], + [ + 1969, + 7324 + ], + [ + 345, + 6070 + ], + [ + 3016, + 5564 + ], + [ + 254, + 2919 + ], + [ + 1527, + 10362 + ], + [ + 2642, + 9295 + ], + [ + 2181, + 2484 + ], + [ + 3170, + 5250 + ], + [ + 3980, + 10717 + ], + [ + 9587, + 9791 + ], + [ + 2367, + 10753 + ], + [ + 2608, + 7432 + ], + [ + 217, + 7174 + ], + [ + 1425, + 7052 + ], + [ + 3438, + 7135 + ], + [ + 4377, + 11292 + ], + [ + 7744, + 10304 + ], + [ + 3480, + 10744 + ], + [ + 6049, + 9584 + ], + [ + 5245, + 7315 + ], + [ + 1033, + 2283 + ], + [ + 3498, + 4907 + ], + [ + 180, + 10675 + ], + [ + 9160, + 9350 + ], + [ + 982, + 5701 + ], + [ + 6579, + 9749 + ], + [ + 6075, + 7772 + ], + [ + 4299, + 6124 + ], + [ + 2941, + 7433 + ], + [ + 4467, + 8152 + ], + [ + 1724, + 9721 + ], + [ + 7297, + 9211 + ], + [ + 881, + 1862 + ], + [ + 437, + 4100 + ], + [ + 1901, + 8859 + ], + [ + 816, + 10512 + ], + [ + 9434, + 11023 + ], + [ + 8842, + 11111 + ], + [ + 5454, + 5560 + ], + [ + 1371, + 9044 + ], + [ + 34, + 6312 + ], + [ + 5354, + 7608 + ], + [ + 1517, + 8115 + ], + [ + 9865, + 11209 + ], + [ + 5446, + 10580 + ], + [ + 8436, + 9642 + ], + [ + 4573, + 11180 + ], + [ + 3317, + 11288 + ], + [ + 7093, + 11259 + ], + [ + 1026, + 8228 + ], + [ + 1518, + 8690 + ], + [ + 3474, + 8993 + ], + [ + 5621, + 5858 + ], + [ + 7825, + 10427 + ], + [ + 1825, + 8618 + ], + [ + 5749, + 8487 + ], + [ + 7299, + 8102 + ], + [ + 10318, + 11312 + ], + [ + 982, + 11312 + ], + [ + 3718, + 6320 + ], + [ + 2376, + 3244 + ], + [ + 4922, + 10960 + ], + [ + 1063, + 3572 + ], + [ + 3588, + 10411 + ], + [ + 7237, + 9853 + ], + [ + 872, + 9639 + ], + [ + 1629, + 5646 + ], + [ + 818, + 6370 + ], + [ + 3397, + 10062 + ], + [ + 5103, + 9436 + ], + [ + 590, + 1258 + ], + [ + 3568, + 4467 + ], + [ + 1836, + 9507 + ], + [ + 3942, + 6371 + ], + [ + 112, + 3885 + ], + [ + 9239, + 10881 + ], + [ + 4628, + 7830 + ], + [ + 5712, + 8204 + ], + [ + 2699, + 5186 + ], + [ + 3454, + 6782 + ], + [ + 5904, + 8374 + ], + [ + 302, + 976 + ], + [ + 2101, + 9963 + ], + [ + 764, + 5733 + ], + [ + 2512, + 3081 + ], + [ + 6768, + 6907 + ], + [ + 2012, + 7639 + ], + [ + 675, + 9825 + ], + [ + 5334, + 9160 + ], + [ + 6297, + 11459 + ], + [ + 3563, + 7856 + ], + [ + 4527, + 6593 + ], + [ + 2158, + 4431 + ], + [ + 3672, + 7799 + ], + [ + 661, + 2198 + ], + [ + 3897, + 10361 + ], + [ + 4012, + 10873 + ], + [ + 3339, + 5869 + ], + [ + 8442, + 8628 + ], + [ + 2835, + 3892 + ], + [ + 5604, + 6927 + ], + [ + 1022, + 8778 + ], + [ + 1, + 6474 + ], + [ + 10479, + 10990 + ], + [ + 7029, + 8725 + ], + [ + 6877, + 10583 + ], + [ + 396, + 2839 + ], + [ + 4317, + 5443 + ], + [ + 5507, + 10377 + ], + [ + 4509, + 5613 + ], + [ + 4837, + 10582 + ], + [ + 890, + 3347 + ], + [ + 2220, + 4154 + ], + [ + 5342, + 8997 + ], + [ + 6990, + 11399 + ], + [ + 3781, + 11475 + ], + [ + 8201, + 10794 + ], + [ + 5859, + 7045 + ], + [ + 9092, + 9275 + ], + [ + 790, + 6526 + ], + [ + 255, + 5990 + ], + [ + 6829, + 7509 + ], + [ + 9315, + 11010 + ], + [ + 1402, + 7844 + ], + [ + 6331, + 9484 + ], + [ + 9846, + 10646 + ], + [ + 197, + 9395 + ], + [ + 3306, + 5705 + ], + [ + 9601, + 10815 + ], + [ + 374, + 4369 + ], + [ + 1926, + 4057 + ], + [ + 1010, + 7963 + ], + [ + 3426, + 3555 + ], + [ + 1335, + 10005 + ], + [ + 6875, + 7103 + ], + [ + 9063, + 10385 + ], + [ + 369, + 7408 + ], + [ + 1615, + 9241 + ], + [ + 7988, + 9346 + ], + [ + 684, + 5699 + ], + [ + 1950, + 11217 + ], + [ + 7526, + 7972 + ], + [ + 4405, + 6737 + ], + [ + 3350, + 11265 + ], + [ + 577, + 5078 + ], + [ + 7030, + 10774 + ], + [ + 487, + 2152 + ], + [ + 666, + 3615 + ], + [ + 2456, + 6824 + ], + [ + 10064, + 10882 + ], + [ + 4059, + 9483 + ], + [ + 764, + 10539 + ], + [ + 2106, + 6445 + ], + [ + 6736, + 9546 + ], + [ + 1980, + 10278 + ], + [ + 263, + 5827 + ], + [ + 426, + 7511 + ], + [ + 5674, + 7241 + ], + [ + 477, + 7476 + ], + [ + 43, + 11156 + ], + [ + 6755, + 10727 + ], + [ + 2555, + 3046 + ], + [ + 7503, + 8900 + ], + [ + 7974, + 8485 + ], + [ + 3311, + 5244 + ], + [ + 6449, + 10620 + ], + [ + 2342, + 5382 + ], + [ + 4238, + 4880 + ], + [ + 6872, + 8279 + ], + [ + 1280, + 2323 + ], + [ + 6161, + 6955 + ], + [ + 6663, + 8105 + ], + [ + 1435, + 9781 + ], + [ + 2144, + 8026 + ], + [ + 3073, + 4325 + ], + [ + 1982, + 3534 + ], + [ + 4108, + 5938 + ], + [ + 3411, + 10736 + ], + [ + 3049, + 9566 + ], + [ + 8044, + 8850 + ], + [ + 540, + 10807 + ], + [ + 6623, + 11308 + ], + [ + 6666, + 7248 + ], + [ + 5065, + 11051 + ], + [ + 3061, + 3160 + ], + [ + 320, + 5556 + ], + [ + 7287, + 9783 + ], + [ + 4735, + 7914 + ], + [ + 26, + 2076 + ], + [ + 4240, + 11318 + ], + [ + 4925, + 5005 + ], + [ + 157, + 10638 + ], + [ + 1783, + 2893 + ], + [ + 1180, + 10736 + ], + [ + 4798, + 9367 + ], + [ + 1400, + 6538 + ], + [ + 5006, + 10070 + ], + [ + 1336, + 4833 + ], + [ + 6778, + 7812 + ], + [ + 2172, + 5105 + ], + [ + 10578, + 11587 + ], + [ + 2982, + 4156 + ], + [ + 9539, + 10232 + ], + [ + 180, + 8528 + ], + [ + 982, + 3554 + ], + [ + 8765, + 10811 + ], + [ + 1050, + 5378 + ], + [ + 7364, + 8286 + ], + [ + 5655, + 10866 + ], + [ + 6961, + 7115 + ], + [ + 514, + 4617 + ], + [ + 2754, + 8843 + ], + [ + 5868, + 8907 + ], + [ + 1718, + 7005 + ], + [ + 7896, + 11530 + ], + [ + 8954, + 9929 + ], + [ + 8104, + 11479 + ], + [ + 3894, + 9526 + ], + [ + 1946, + 3422 + ], + [ + 4403, + 5431 + ], + [ + 2276, + 5054 + ], + [ + 5741, + 6853 + ], + [ + 159, + 9529 + ], + [ + 1005, + 1821 + ], + [ + 1187, + 7719 + ], + [ + 4081, + 6319 + ], + [ + 230, + 5208 + ], + [ + 2465, + 9090 + ], + [ + 3053, + 5096 + ], + [ + 8715, + 9539 + ], + [ + 10045, + 11100 + ], + [ + 2617, + 5697 + ], + [ + 901, + 10516 + ], + [ + 8344, + 11289 + ], + [ + 3394, + 8772 + ], + [ + 4258, + 11092 + ], + [ + 9490, + 10289 + ], + [ + 8019, + 9277 + ], + [ + 7026, + 10519 + ], + [ + 894, + 2929 + ], + [ + 752, + 10393 + ], + [ + 1232, + 9340 + ], + [ + 1679, + 4367 + ], + [ + 4412, + 5493 + ], + [ + 9064, + 10073 + ], + [ + 946, + 3469 + ], + [ + 1789, + 4912 + ], + [ + 608, + 7611 + ], + [ + 4140, + 5744 + ], + [ + 4515, + 4867 + ], + [ + 3682, + 4866 + ], + [ + 913, + 4460 + ], + [ + 4464, + 8285 + ], + [ + 7656, + 9760 + ], + [ + 4392, + 5965 + ], + [ + 873, + 1651 + ], + [ + 6812, + 8846 + ], + [ + 65, + 6056 + ], + [ + 2455, + 2679 + ], + [ + 5749, + 8568 + ], + [ + 3579, + 9999 + ], + [ + 2695, + 6303 + ], + [ + 2206, + 9522 + ], + [ + 8250, + 10849 + ], + [ + 1495, + 4034 + ], + [ + 8458, + 11552 + ], + [ + 6027, + 8512 + ], + [ + 6625, + 9370 + ], + [ + 5947, + 6274 + ], + [ + 4326, + 7947 + ], + [ + 6344, + 9128 + ], + [ + 10163, + 11455 + ], + [ + 5930, + 7798 + ], + [ + 6611, + 10411 + ], + [ + 3006, + 10487 + ], + [ + 3973, + 7270 + ], + [ + 955, + 6914 + ], + [ + 4255, + 6202 + ], + [ + 574, + 806 + ], + [ + 4299, + 5750 + ], + [ + 3705, + 11427 + ], + [ + 1222, + 1781 + ], + [ + 1309, + 4409 + ], + [ + 596, + 8674 + ], + [ + 5394, + 10797 + ], + [ + 5136, + 5843 + ], + [ + 9623, + 11302 + ], + [ + 4518, + 6962 + ], + [ + 3142, + 3558 + ], + [ + 660, + 9598 + ], + [ + 268, + 5610 + ], + [ + 3413, + 7993 + ], + [ + 5911, + 6593 + ], + [ + 2177, + 10231 + ], + [ + 4156, + 5822 + ], + [ + 778, + 4369 + ], + [ + 1646, + 9814 + ], + [ + 2195, + 10810 + ], + [ + 10450, + 10707 + ], + [ + 7394, + 7615 + ], + [ + 3784, + 9599 + ], + [ + 1821, + 8125 + ], + [ + 7963, + 9987 + ], + [ + 1301, + 3363 + ], + [ + 1567, + 8208 + ], + [ + 538, + 3377 + ], + [ + 8603, + 9566 + ], + [ + 6860, + 10310 + ], + [ + 795, + 8860 + ], + [ + 5053, + 9349 + ], + [ + 6020, + 6886 + ], + [ + 2813, + 3625 + ], + [ + 9060, + 10973 + ], + [ + 2258, + 8476 + ], + [ + 2351, + 5257 + ], + [ + 138, + 9270 + ], + [ + 726, + 3024 + ], + [ + 7281, + 9027 + ], + [ + 4110, + 5423 + ], + [ + 3796, + 9959 + ], + [ + 219, + 4913 + ], + [ + 967, + 9502 + ], + [ + 5039, + 5105 + ], + [ + 4817, + 6978 + ], + [ + 5465, + 7199 + ], + [ + 5685, + 9417 + ], + [ + 6068, + 9155 + ], + [ + 8518, + 9993 + ], + [ + 6723, + 10547 + ], + [ + 2630, + 9179 + ], + [ + 4221, + 8795 + ], + [ + 609, + 7700 + ], + [ + 7543, + 10316 + ], + [ + 2316, + 5047 + ], + [ + 2350, + 10293 + ], + [ + 6149, + 11214 + ], + [ + 6171, + 8529 + ], + [ + 2105, + 4046 + ], + [ + 4193, + 10130 + ], + [ + 1809, + 6936 + ], + [ + 1659, + 9621 + ], + [ + 5586, + 9007 + ], + [ + 5648, + 10639 + ], + [ + 1680, + 7465 + ], + [ + 4980, + 7507 + ], + [ + 1220, + 5760 + ], + [ + 8556, + 11574 + ], + [ + 1689, + 8682 + ], + [ + 6935, + 7585 + ], + [ + 4227, + 5957 + ], + [ + 589, + 5893 + ], + [ + 1518, + 6356 + ], + [ + 740, + 9472 + ], + [ + 6194, + 7550 + ], + [ + 516, + 4102 + ], + [ + 4843, + 7394 + ], + [ + 9708, + 11493 + ], + [ + 1771, + 10185 + ], + [ + 7430, + 8695 + ], + [ + 2581, + 9236 + ], + [ + 1917, + 2840 + ], + [ + 1972, + 7465 + ], + [ + 5836, + 8781 + ], + [ + 5593, + 9023 + ], + [ + 10257, + 10954 + ], + [ + 6119, + 8315 + ], + [ + 5248, + 5578 + ], + [ + 9126, + 10764 + ], + [ + 538, + 8183 + ], + [ + 259, + 2352 + ], + [ + 2905, + 7266 + ], + [ + 6754, + 8304 + ], + [ + 2182, + 10843 + ], + [ + 602, + 9107 + ], + [ + 191, + 8075 + ], + [ + 3367, + 9771 + ], + [ + 1655, + 5664 + ], + [ + 5295, + 8026 + ], + [ + 8994, + 10995 + ], + [ + 8030, + 11477 + ], + [ + 6469, + 7539 + ], + [ + 715, + 7671 + ], + [ + 472, + 10165 + ], + [ + 622, + 1064 + ], + [ + 6468, + 8068 + ], + [ + 4757, + 6815 + ], + [ + 4222, + 10443 + ], + [ + 4540, + 9032 + ], + [ + 2976, + 11239 + ], + [ + 6549, + 10127 + ], + [ + 6932, + 9865 + ], + [ + 1664, + 2343 + ], + [ + 858, + 9827 + ], + [ + 1138, + 5680 + ], + [ + 6898, + 7248 + ], + [ + 5905, + 9244 + ], + [ + 10318, + 11556 + ], + [ + 3193, + 10126 + ], + [ + 191, + 3887 + ], + [ + 4805, + 10619 + ], + [ + 3719, + 9418 + ], + [ + 7256, + 7895 + ], + [ + 2648, + 5115 + ], + [ + 8742, + 9969 + ], + [ + 3277, + 6040 + ], + [ + 718, + 9416 + ], + [ + 3022, + 4767 + ], + [ + 4572, + 10044 + ], + [ + 5878, + 7047 + ], + [ + 100, + 4119 + ], + [ + 6695, + 7269 + ], + [ + 1301, + 2826 + ], + [ + 2980, + 4541 + ], + [ + 2021, + 5367 + ], + [ + 123, + 2790 + ], + [ + 2571, + 2801 + ], + [ + 4625, + 10809 + ], + [ + 3730, + 6924 + ], + [ + 4838, + 5440 + ], + [ + 3695, + 10121 + ], + [ + 4409, + 8710 + ], + [ + 1138, + 11291 + ], + [ + 4053, + 4352 + ], + [ + 8261, + 10396 + ], + [ + 10165, + 10509 + ], + [ + 922, + 9946 + ], + [ + 9292, + 10355 + ], + [ + 996, + 1035 + ], + [ + 163, + 1034 + ], + [ + 1348, + 5624 + ], + [ + 4555, + 8885 + ], + [ + 5260, + 10394 + ], + [ + 6920, + 7895 + ], + [ + 2956, + 8627 + ], + [ + 3023, + 3433 + ], + [ + 3142, + 5599 + ], + [ + 5731, + 9979 + ], + [ + 1090, + 10469 + ], + [ + 4677, + 7535 + ], + [ + 4546, + 8018 + ], + [ + 4322, + 9064 + ], + [ + 497, + 506 + ], + [ + 2773, + 6641 + ], + [ + 3969, + 5004 + ], + [ + 2270, + 5266 + ], + [ + 7337, + 9122 + ], + [ + 1520, + 3987 + ], + [ + 4942, + 8368 + ], + [ + 429, + 2442 + ], + [ + 8517, + 10335 + ], + [ + 1454, + 9783 + ], + [ + 8450, + 9113 + ], + [ + 3321, + 4379 + ], + [ + 7632, + 8666 + ], + [ + 8069, + 9421 + ], + [ + 1568, + 10070 + ], + [ + 2937, + 10805 + ], + [ + 7691, + 9246 + ], + [ + 470, + 938 + ], + [ + 4611, + 8012 + ], + [ + 5612, + 10041 + ], + [ + 3458, + 5589 + ], + [ + 11023, + 11455 + ], + [ + 2337, + 6087 + ], + [ + 2646, + 6842 + ], + [ + 2400, + 3403 + ], + [ + 9316, + 11075 + ], + [ + 1529, + 7082 + ], + [ + 2181, + 8957 + ], + [ + 4077, + 8455 + ], + [ + 6971, + 7055 + ], + [ + 3550, + 5528 + ], + [ + 7371, + 10180 + ], + [ + 6342, + 10267 + ], + [ + 8176, + 8887 + ], + [ + 6808, + 8754 + ], + [ + 9901, + 10947 + ], + [ + 4543, + 6915 + ], + [ + 1731, + 10599 + ], + [ + 9418, + 10978 + ], + [ + 5712, + 6838 + ], + [ + 5629, + 11499 + ], + [ + 4944, + 10642 + ], + [ + 5371, + 6545 + ], + [ + 1637, + 10183 + ], + [ + 8509, + 11167 + ], + [ + 574, + 4270 + ], + [ + 3696, + 11365 + ], + [ + 773, + 1447 + ], + [ + 1713, + 5482 + ], + [ + 3648, + 11324 + ], + [ + 4458, + 10375 + ], + [ + 3739, + 5026 + ], + [ + 1443, + 7284 + ], + [ + 7350, + 11531 + ], + [ + 6820, + 8333 + ], + [ + 7025, + 9519 + ], + [ + 1360, + 10440 + ], + [ + 9391, + 11383 + ], + [ + 4857, + 10996 + ], + [ + 704, + 2407 + ], + [ + 2386, + 7803 + ], + [ + 1137, + 5672 + ], + [ + 2105, + 8315 + ], + [ + 890, + 5014 + ], + [ + 8739, + 10639 + ], + [ + 895, + 3106 + ], + [ + 5623, + 6742 + ], + [ + 1545, + 6406 + ], + [ + 4373, + 10802 + ], + [ + 512, + 9003 + ], + [ + 5596, + 8302 + ], + [ + 8741, + 9931 + ], + [ + 10790, + 11179 + ], + [ + 4957, + 10072 + ], + [ + 2557, + 6345 + ], + [ + 7228, + 9447 + ], + [ + 7882, + 7985 + ], + [ + 7391, + 10377 + ], + [ + 2568, + 3471 + ], + [ + 2258, + 8907 + ], + [ + 8349, + 10080 + ], + [ + 5208, + 10822 + ], + [ + 10554, + 11087 + ], + [ + 6414, + 9873 + ], + [ + 848, + 5138 + ], + [ + 9965, + 10692 + ], + [ + 4863, + 10787 + ], + [ + 2559, + 2604 + ], + [ + 6690, + 8236 + ], + [ + 2239, + 3188 + ], + [ + 1518, + 7592 + ], + [ + 5601, + 8272 + ], + [ + 6005, + 8133 + ], + [ + 4202, + 8826 + ], + [ + 2837, + 8964 + ], + [ + 6013, + 6496 + ], + [ + 2730, + 10595 + ], + [ + 1644, + 2978 + ], + [ + 5941, + 7559 + ], + [ + 5593, + 10259 + ], + [ + 2699, + 5243 + ], + [ + 946, + 1135 + ], + [ + 4505, + 8985 + ], + [ + 2889, + 5340 + ], + [ + 368, + 11452 + ], + [ + 611, + 2542 + ], + [ + 2402, + 4498 + ], + [ + 6980, + 11573 + ], + [ + 3405, + 3944 + ], + [ + 4060, + 5336 + ], + [ + 4778, + 7050 + ], + [ + 2402, + 7881 + ], + [ + 3455, + 6690 + ], + [ + 1226, + 4508 + ], + [ + 5491, + 6168 + ], + [ + 632, + 10185 + ], + [ + 1528, + 10508 + ], + [ + 630, + 2942 + ], + [ + 126, + 5129 + ], + [ + 1467, + 10232 + ], + [ + 9242, + 9300 + ], + [ + 7316, + 11091 + ], + [ + 6380, + 7205 + ], + [ + 34, + 11175 + ], + [ + 3761, + 10530 + ], + [ + 4888, + 5316 + ], + [ + 1331, + 10344 + ], + [ + 1178, + 2932 + ], + [ + 4378, + 9186 + ], + [ + 4856, + 5778 + ], + [ + 3046, + 5300 + ], + [ + 214, + 1162 + ], + [ + 3419, + 10012 + ], + [ + 1167, + 2773 + ], + [ + 5318, + 7529 + ], + [ + 203, + 3255 + ], + [ + 8107, + 8587 + ], + [ + 7026, + 7730 + ], + [ + 4281, + 8472 + ], + [ + 2409, + 7116 + ], + [ + 2907, + 4360 + ], + [ + 5152, + 8930 + ], + [ + 6761, + 8371 + ], + [ + 10338, + 11165 + ], + [ + 1900, + 11561 + ], + [ + 749, + 3549 + ], + [ + 688, + 5525 + ], + [ + 1777, + 3991 + ], + [ + 970, + 2205 + ], + [ + 1178, + 5160 + ], + [ + 3881, + 4946 + ], + [ + 7652, + 10235 + ], + [ + 394, + 8461 + ], + [ + 2259, + 2984 + ], + [ + 803, + 7168 + ], + [ + 2365, + 7544 + ], + [ + 6312, + 11369 + ], + [ + 2389, + 8692 + ], + [ + 3640, + 5234 + ], + [ + 1862, + 2759 + ], + [ + 8398, + 10964 + ], + [ + 860, + 6921 + ], + [ + 1822, + 3360 + ], + [ + 8862, + 9378 + ], + [ + 5804, + 8869 + ], + [ + 8202, + 10271 + ], + [ + 3589, + 4141 + ], + [ + 5746, + 8864 + ], + [ + 968, + 7393 + ], + [ + 231, + 10510 + ], + [ + 1902, + 8200 + ], + [ + 2189, + 5224 + ], + [ + 1129, + 5998 + ], + [ + 31, + 9698 + ], + [ + 1725, + 6029 + ], + [ + 6105, + 6703 + ], + [ + 6504, + 10384 + ], + [ + 1397, + 10135 + ], + [ + 1870, + 5629 + ], + [ + 8743, + 10221 + ], + [ + 1237, + 2683 + ], + [ + 247, + 4196 + ], + [ + 9080, + 10745 + ], + [ + 6222, + 7638 + ], + [ + 6179, + 10974 + ], + [ + 4852, + 6678 + ], + [ + 579, + 3622 + ], + [ + 3311, + 10562 + ], + [ + 3060, + 6779 + ], + [ + 547, + 11254 + ], + [ + 2600, + 2822 + ], + [ + 3749, + 7755 + ], + [ + 10562, + 11542 + ], + [ + 5082, + 8833 + ], + [ + 600, + 1466 + ], + [ + 6298, + 8572 + ], + [ + 6513, + 10446 + ], + [ + 290, + 486 + ], + [ + 8130, + 10529 + ], + [ + 5981, + 10585 + ], + [ + 66, + 1532 + ], + [ + 2593, + 5034 + ], + [ + 3830, + 5650 + ], + [ + 3838, + 9675 + ], + [ + 593, + 3678 + ], + [ + 6575, + 8291 + ], + [ + 3075, + 7437 + ], + [ + 1462, + 3309 + ], + [ + 428, + 9468 + ], + [ + 366, + 1420 + ], + [ + 622, + 6301 + ], + [ + 1143, + 5249 + ], + [ + 8483, + 8553 + ], + [ + 5566, + 8249 + ], + [ + 1547, + 2858 + ], + [ + 1137, + 11096 + ], + [ + 2921, + 10353 + ], + [ + 1085, + 10906 + ], + [ + 1398, + 9151 + ], + [ + 297, + 9170 + ], + [ + 1735, + 5538 + ], + [ + 2079, + 6102 + ], + [ + 4790, + 11411 + ], + [ + 10470, + 10798 + ], + [ + 7708, + 8153 + ], + [ + 3868, + 4979 + ], + [ + 8210, + 9303 + ], + [ + 1569, + 3556 + ], + [ + 641, + 4449 + ], + [ + 389, + 2693 + ], + [ + 284, + 5151 + ], + [ + 9633, + 10274 + ], + [ + 591, + 9243 + ], + [ + 4077, + 5503 + ], + [ + 200, + 3171 + ], + [ + 780, + 5732 + ], + [ + 467, + 1071 + ], + [ + 9286, + 10166 + ], + [ + 2273, + 8977 + ], + [ + 4365, + 6135 + ], + [ + 2706, + 7324 + ], + [ + 5178, + 11119 + ], + [ + 2243, + 6102 + ], + [ + 464, + 773 + ], + [ + 1749, + 2561 + ], + [ + 6041, + 6798 + ], + [ + 2053, + 3726 + ], + [ + 2, + 153 + ], + [ + 2266, + 11189 + ], + [ + 5500, + 5693 + ], + [ + 3170, + 9121 + ], + [ + 149, + 2832 + ], + [ + 10825, + 11497 + ], + [ + 1200, + 11394 + ], + [ + 4471, + 5780 + ], + [ + 3297, + 8896 + ], + [ + 2073, + 7761 + ], + [ + 239, + 2725 + ], + [ + 1171, + 2705 + ], + [ + 5835, + 9554 + ], + [ + 293, + 9377 + ], + [ + 3844, + 6032 + ], + [ + 4535, + 10087 + ], + [ + 361, + 621 + ], + [ + 4089, + 9246 + ], + [ + 2248, + 9455 + ], + [ + 293, + 6344 + ], + [ + 10339, + 10449 + ], + [ + 561, + 7098 + ], + [ + 4290, + 5745 + ], + [ + 683, + 11410 + ], + [ + 7598, + 9812 + ], + [ + 1561, + 8875 + ], + [ + 360, + 9444 + ], + [ + 2490, + 2922 + ], + [ + 8242, + 10264 + ], + [ + 4565, + 10272 + ], + [ + 2767, + 11309 + ], + [ + 2082, + 11206 + ], + [ + 7426, + 10644 + ], + [ + 270, + 3485 + ], + [ + 4153, + 9015 + ], + [ + 4378, + 11577 + ], + [ + 4994, + 9631 + ], + [ + 8741, + 10362 + ], + [ + 106, + 8746 + ], + [ + 4028, + 7788 + ], + [ + 4492, + 5448 + ], + [ + 3277, + 9317 + ], + [ + 4249, + 6444 + ], + [ + 2664, + 10780 + ], + [ + 5085, + 6716 + ], + [ + 4085, + 5289 + ], + [ + 4864, + 11443 + ], + [ + 67, + 11420 + ], + [ + 4652, + 6834 + ], + [ + 6013, + 9960 + ], + [ + 4358, + 6387 + ], + [ + 1032, + 8130 + ], + [ + 4426, + 4801 + ], + [ + 1002, + 3003 + ], + [ + 10176, + 11343 + ], + [ + 1899, + 11098 + ], + [ + 3365, + 5350 + ], + [ + 8175, + 10516 + ], + [ + 7560, + 9654 + ], + [ + 6777, + 8262 + ], + [ + 2599, + 8476 + ], + [ + 2229, + 3281 + ], + [ + 85, + 3681 + ], + [ + 2227, + 6618 + ], + [ + 3851, + 8626 + ], + [ + 8549, + 9387 + ], + [ + 8759, + 10917 + ], + [ + 3306, + 3615 + ], + [ + 3961, + 11423 + ], + [ + 3031, + 11489 + ], + [ + 5980, + 9796 + ], + [ + 7695, + 11168 + ], + [ + 3304, + 3919 + ], + [ + 2032, + 6500 + ], + [ + 523, + 9168 + ], + [ + 5724, + 9052 + ], + [ + 7721, + 9356 + ], + [ + 7065, + 7739 + ], + [ + 1991, + 9882 + ], + [ + 9028, + 9213 + ], + [ + 6220, + 9633 + ], + [ + 587, + 3676 + ], + [ + 6755, + 6759 + ], + [ + 5814, + 8945 + ], + [ + 5318, + 10993 + ], + [ + 1552, + 6048 + ], + [ + 4788, + 7795 + ], + [ + 3795, + 9791 + ], + [ + 5821, + 9335 + ], + [ + 2798, + 7881 + ], + [ + 210, + 11273 + ], + [ + 3047, + 8585 + ], + [ + 5339, + 8837 + ], + [ + 6569, + 6754 + ], + [ + 1858, + 6505 + ], + [ + 1328, + 4061 + ], + [ + 2699, + 4869 + ], + [ + 5706, + 7318 + ], + [ + 1547, + 6054 + ], + [ + 3967, + 11187 + ], + [ + 10665, + 11052 + ], + [ + 5094, + 5973 + ], + [ + 821, + 2917 + ], + [ + 6335, + 7462 + ], + [ + 7412, + 10075 + ], + [ + 435, + 2881 + ], + [ + 1498, + 1624 + ], + [ + 6446, + 7478 + ], + [ + 3829, + 8220 + ], + [ + 10083, + 10323 + ], + [ + 1561, + 6110 + ], + [ + 8617, + 9655 + ], + [ + 3768, + 7944 + ], + [ + 256, + 10463 + ], + [ + 2463, + 8133 + ], + [ + 1644, + 11248 + ], + [ + 3979, + 8164 + ], + [ + 9345, + 9805 + ], + [ + 2736, + 6979 + ], + [ + 993, + 3559 + ], + [ + 2460, + 7835 + ], + [ + 586, + 9062 + ], + [ + 6248, + 10095 + ], + [ + 2638, + 9827 + ], + [ + 1604, + 4652 + ], + [ + 3049, + 4443 + ], + [ + 7987, + 9609 + ], + [ + 1134, + 6423 + ], + [ + 5898, + 9716 + ], + [ + 8081, + 9244 + ], + [ + 6367, + 8474 + ], + [ + 2876, + 5454 + ], + [ + 609, + 6952 + ], + [ + 7665, + 10497 + ], + [ + 7613, + 10307 + ], + [ + 7983, + 9086 + ], + [ + 4746, + 7868 + ], + [ + 9849, + 10627 + ], + [ + 1378, + 9385 + ], + [ + 815, + 7959 + ], + [ + 166, + 9765 + ], + [ + 3619, + 10049 + ], + [ + 5611, + 10009 + ], + [ + 905, + 10104 + ], + [ + 8028, + 8455 + ], + [ + 2525, + 8206 + ], + [ + 2797, + 6450 + ], + [ + 6998, + 11323 + ], + [ + 4248, + 8715 + ], + [ + 5374, + 6282 + ], + [ + 9549, + 9934 + ], + [ + 4960, + 10614 + ], + [ + 4303, + 6143 + ], + [ + 7525, + 10436 + ], + [ + 1503, + 7178 + ], + [ + 2438, + 10839 + ], + [ + 2280, + 3837 + ], + [ + 4336, + 5502 + ], + [ + 788, + 1948 + ], + [ + 4955, + 7237 + ], + [ + 1541, + 6881 + ], + [ + 1816, + 8806 + ], + [ + 5866, + 7094 + ], + [ + 1213, + 10233 + ], + [ + 282, + 6691 + ], + [ + 2310, + 8560 + ], + [ + 1749, + 10213 + ], + [ + 2057, + 8114 + ], + [ + 1522, + 5326 + ], + [ + 4512, + 10050 + ], + [ + 310, + 5706 + ], + [ + 6469, + 6791 + ], + [ + 10113, + 10807 + ], + [ + 1204, + 9366 + ], + [ + 4975, + 8239 + ], + [ + 9823, + 10479 + ], + [ + 1481, + 11337 + ], + [ + 6713, + 10534 + ], + [ + 1137, + 5111 + ], + [ + 2009, + 7292 + ], + [ + 1890, + 3628 + ], + [ + 2659, + 9094 + ], + [ + 3942, + 10055 + ], + [ + 5721, + 8968 + ], + [ + 792, + 912 + ], + [ + 7798, + 8477 + ], + [ + 6079, + 10369 + ], + [ + 1134, + 8196 + ], + [ + 2992, + 4958 + ], + [ + 528, + 5942 + ], + [ + 655, + 799 + ], + [ + 8445, + 9227 + ], + [ + 1962, + 7072 + ], + [ + 5798, + 11258 + ], + [ + 1399, + 2236 + ], + [ + 492, + 3252 + ], + [ + 4949, + 11498 + ], + [ + 252, + 7175 + ], + [ + 252, + 759 + ], + [ + 2110, + 4691 + ], + [ + 5039, + 11391 + ], + [ + 2453, + 11446 + ], + [ + 4354, + 11288 + ], + [ + 1823, + 11050 + ], + [ + 8271, + 9986 + ], + [ + 9391, + 10017 + ], + [ + 5150, + 5745 + ], + [ + 2724, + 3049 + ], + [ + 4630, + 10405 + ], + [ + 5070, + 10677 + ], + [ + 1698, + 9069 + ], + [ + 793, + 6748 + ], + [ + 6775, + 10607 + ], + [ + 2792, + 7879 + ], + [ + 1638, + 2602 + ], + [ + 5627, + 9282 + ], + [ + 766, + 5302 + ], + [ + 1542, + 5523 + ], + [ + 133, + 1225 + ], + [ + 8201, + 11095 + ], + [ + 918, + 2663 + ], + [ + 2101, + 6426 + ], + [ + 4747, + 4924 + ], + [ + 1196, + 1853 + ], + [ + 222, + 1647 + ], + [ + 7816, + 8251 + ], + [ + 6422, + 9149 + ], + [ + 6006, + 7773 + ], + [ + 4077, + 11545 + ], + [ + 3624, + 11011 + ], + [ + 1501, + 5872 + ], + [ + 2526, + 8295 + ], + [ + 683, + 5425 + ], + [ + 6446, + 10674 + ], + [ + 1491, + 3649 + ], + [ + 5730, + 11258 + ], + [ + 25, + 3735 + ], + [ + 5410, + 9590 + ], + [ + 2757, + 7669 + ], + [ + 4575, + 6510 + ], + [ + 810, + 10835 + ], + [ + 3888, + 4826 + ], + [ + 10383, + 10778 + ], + [ + 2735, + 3157 + ], + [ + 5684, + 7880 + ], + [ + 269, + 1062 + ], + [ + 7338, + 8976 + ], + [ + 2625, + 7900 + ], + [ + 2752, + 9927 + ], + [ + 21, + 179 + ], + [ + 5272, + 10006 + ], + [ + 1693, + 11303 + ], + [ + 2567, + 7895 + ], + [ + 2195, + 6037 + ], + [ + 68, + 9824 + ], + [ + 5326, + 10242 + ], + [ + 7423, + 7744 + ], + [ + 355, + 2684 + ], + [ + 6237, + 9345 + ], + [ + 2710, + 6668 + ], + [ + 8878, + 9751 + ], + [ + 1347, + 7633 + ], + [ + 3701, + 8763 + ], + [ + 6661, + 10612 + ], + [ + 4979, + 6347 + ], + [ + 3850, + 4318 + ], + [ + 51, + 1145 + ], + [ + 3514, + 9287 + ], + [ + 829, + 7828 + ], + [ + 8492, + 10065 + ], + [ + 7738, + 7913 + ], + [ + 4221, + 10088 + ], + [ + 4223, + 4499 + ], + [ + 6705, + 10510 + ], + [ + 1479, + 5843 + ], + [ + 2091, + 7161 + ], + [ + 8816, + 11101 + ], + [ + 5115, + 11469 + ], + [ + 97, + 7505 + ], + [ + 1494, + 6124 + ], + [ + 10057, + 10338 + ], + [ + 3892, + 6772 + ], + [ + 1156, + 9512 + ], + [ + 3712, + 11500 + ], + [ + 464, + 1822 + ], + [ + 1778, + 2850 + ], + [ + 5353, + 10479 + ], + [ + 809, + 9404 + ], + [ + 3579, + 5494 + ], + [ + 9186, + 10230 + ], + [ + 332, + 2834 + ], + [ + 3981, + 7194 + ], + [ + 1558, + 10431 + ], + [ + 2926, + 7558 + ], + [ + 7435, + 10332 + ], + [ + 5041, + 5639 + ], + [ + 3062, + 10078 + ], + [ + 3098, + 5571 + ], + [ + 2731, + 4057 + ], + [ + 2884, + 5053 + ], + [ + 2973, + 10006 + ], + [ + 9788, + 10456 + ], + [ + 4062, + 8472 + ], + [ + 3594, + 6152 + ], + [ + 3652, + 10294 + ], + [ + 2532, + 3847 + ], + [ + 3240, + 4873 + ], + [ + 1385, + 5376 + ], + [ + 1218, + 6202 + ], + [ + 1221, + 9883 + ], + [ + 4297, + 10217 + ], + [ + 1685, + 8297 + ], + [ + 2994, + 11233 + ], + [ + 1836, + 8466 + ], + [ + 3916, + 4109 + ], + [ + 4979, + 7770 + ], + [ + 660, + 11509 + ], + [ + 2090, + 3098 + ], + [ + 2303, + 10561 + ], + [ + 4569, + 5428 + ], + [ + 1685, + 5264 + ], + [ + 4073, + 5978 + ], + [ + 2946, + 4776 + ], + [ + 394, + 9323 + ], + [ + 7836, + 9871 + ], + [ + 4503, + 8191 + ], + [ + 274, + 2024 + ], + [ + 5098, + 5368 + ], + [ + 1483, + 7008 + ], + [ + 4382, + 10116 + ], + [ + 2315, + 7538 + ], + [ + 7702, + 10810 + ], + [ + 6143, + 9951 + ], + [ + 4751, + 5260 + ], + [ + 3906, + 7154 + ], + [ + 8228, + 10102 + ], + [ + 2311, + 4386 + ], + [ + 8329, + 10154 + ], + [ + 1223, + 8774 + ], + [ + 3938, + 5911 + ], + [ + 7921, + 8639 + ], + [ + 68, + 10442 + ], + [ + 5945, + 6179 + ], + [ + 1745, + 4914 + ], + [ + 7357, + 9994 + ], + [ + 4370, + 8951 + ], + [ + 4590, + 7005 + ], + [ + 1156, + 4519 + ], + [ + 3549, + 4823 + ], + [ + 1596, + 8955 + ], + [ + 1370, + 8420 + ], + [ + 2953, + 4011 + ], + [ + 7839, + 8987 + ], + [ + 4050, + 6502 + ], + [ + 275, + 3723 + ], + [ + 254, + 2846 + ], + [ + 4662, + 11230 + ], + [ + 5197, + 8356 + ], + [ + 2454, + 3509 + ], + [ + 643, + 5058 + ], + [ + 2757, + 4449 + ], + [ + 3500, + 4530 + ], + [ + 10010, + 10760 + ], + [ + 2443, + 8231 + ], + [ + 4848, + 10804 + ], + [ + 2407, + 6322 + ], + [ + 1202, + 3709 + ], + [ + 323, + 357 + ], + [ + 2468, + 3565 + ], + [ + 4534, + 5918 + ], + [ + 3973, + 7571 + ], + [ + 5114, + 8479 + ], + [ + 4654, + 10938 + ], + [ + 297, + 11187 + ], + [ + 5827, + 7597 + ], + [ + 1312, + 11424 + ], + [ + 10930, + 11110 + ], + [ + 918, + 1671 + ], + [ + 4281, + 4691 + ], + [ + 3330, + 6189 + ], + [ + 196, + 8102 + ], + [ + 1686, + 6912 + ], + [ + 8408, + 11335 + ], + [ + 8558, + 11279 + ], + [ + 241, + 4088 + ], + [ + 11235, + 11342 + ], + [ + 8988, + 10863 + ], + [ + 8251, + 10570 + ], + [ + 1589, + 3946 + ], + [ + 2957, + 6708 + ], + [ + 824, + 881 + ], + [ + 2573, + 9751 + ], + [ + 4161, + 9850 + ], + [ + 6714, + 8157 + ], + [ + 916, + 3853 + ], + [ + 850, + 5485 + ], + [ + 1158, + 3386 + ], + [ + 2534, + 7544 + ], + [ + 2933, + 11225 + ], + [ + 411, + 1651 + ], + [ + 3252, + 7006 + ], + [ + 4582, + 7813 + ], + [ + 2092, + 3412 + ], + [ + 10063, + 10720 + ], + [ + 3272, + 7658 + ], + [ + 4146, + 4250 + ], + [ + 125, + 5202 + ], + [ + 4987, + 9030 + ], + [ + 686, + 1297 + ], + [ + 2998, + 9341 + ], + [ + 4741, + 6345 + ], + [ + 5360, + 8080 + ], + [ + 7971, + 9775 + ], + [ + 318, + 1810 + ], + [ + 8315, + 10339 + ], + [ + 2054, + 4059 + ], + [ + 4855, + 6632 + ], + [ + 161, + 8242 + ], + [ + 254, + 4269 + ], + [ + 5665, + 5683 + ], + [ + 6096, + 8121 + ], + [ + 6782, + 11078 + ], + [ + 9641, + 10623 + ], + [ + 3543, + 6781 + ], + [ + 6867, + 10627 + ], + [ + 176, + 1353 + ], + [ + 4442, + 10785 + ], + [ + 3381, + 4918 + ], + [ + 7085, + 8985 + ], + [ + 2531, + 3058 + ], + [ + 1235, + 4491 + ], + [ + 731, + 3268 + ], + [ + 724, + 6261 + ], + [ + 1670, + 4419 + ], + [ + 1109, + 6072 + ], + [ + 4777, + 10482 + ], + [ + 2698, + 11277 + ], + [ + 7941, + 10663 + ], + [ + 2349, + 4707 + ], + [ + 5888, + 6263 + ], + [ + 881, + 3212 + ], + [ + 2379, + 6047 + ], + [ + 6075, + 6089 + ], + [ + 1935, + 9039 + ], + [ + 3858, + 6950 + ], + [ + 2156, + 7695 + ], + [ + 284, + 8591 + ], + [ + 3054, + 8845 + ], + [ + 5635, + 9200 + ], + [ + 5612, + 7496 + ], + [ + 5608, + 10760 + ], + [ + 149, + 5922 + ], + [ + 3240, + 11452 + ], + [ + 6005, + 7198 + ], + [ + 3425, + 10451 + ], + [ + 405, + 7016 + ], + [ + 9297, + 10008 + ], + [ + 2552, + 10297 + ], + [ + 28, + 11230 + ], + [ + 615, + 2130 + ], + [ + 124, + 10938 + ], + [ + 2075, + 10897 + ], + [ + 1392, + 5205 + ], + [ + 4105, + 7177 + ], + [ + 5564, + 10838 + ], + [ + 3716, + 9876 + ], + [ + 1666, + 9157 + ], + [ + 3097, + 11524 + ], + [ + 3775, + 4040 + ], + [ + 3876, + 4092 + ], + [ + 504, + 3238 + ], + [ + 3711, + 6499 + ], + [ + 7602, + 10392 + ], + [ + 2810, + 4297 + ], + [ + 692, + 5918 + ], + [ + 7969, + 8119 + ], + [ + 56, + 5707 + ], + [ + 2681, + 5580 + ], + [ + 651, + 2884 + ], + [ + 2641, + 6181 + ], + [ + 906, + 6786 + ], + [ + 1359, + 1658 + ], + [ + 10295, + 11338 + ], + [ + 396, + 11410 + ], + [ + 2545, + 9102 + ], + [ + 10008, + 10527 + ], + [ + 3562, + 5221 + ], + [ + 4066, + 7198 + ], + [ + 7770, + 10511 + ], + [ + 857, + 7274 + ], + [ + 4812, + 8708 + ], + [ + 9915, + 11467 + ], + [ + 5803, + 5885 + ], + [ + 6372, + 8257 + ], + [ + 3934, + 10462 + ], + [ + 145, + 1561 + ], + [ + 3460, + 8327 + ], + [ + 9561, + 10188 + ], + [ + 6861, + 8421 + ], + [ + 8418, + 8453 + ], + [ + 841, + 5236 + ], + [ + 1780, + 6387 + ], + [ + 5085, + 6773 + ], + [ + 3213, + 4663 + ], + [ + 9656, + 10425 + ], + [ + 2244, + 4801 + ], + [ + 1989, + 4282 + ], + [ + 6393, + 9484 + ], + [ + 2429, + 3800 + ], + [ + 2152, + 5966 + ], + [ + 2898, + 9728 + ], + [ + 5439, + 9930 + ], + [ + 5721, + 8862 + ], + [ + 9962, + 10882 + ], + [ + 8522, + 11435 + ], + [ + 5356, + 8175 + ], + [ + 1870, + 5499 + ], + [ + 834, + 4415 + ], + [ + 7960, + 9453 + ], + [ + 3848, + 8035 + ], + [ + 3044, + 5766 + ], + [ + 807, + 10139 + ], + [ + 2548, + 8568 + ], + [ + 6706, + 9607 + ], + [ + 1787, + 2239 + ], + [ + 2882, + 11073 + ], + [ + 5832, + 9982 + ], + [ + 1809, + 7855 + ], + [ + 9045, + 10779 + ], + [ + 821, + 3779 + ], + [ + 3592, + 9893 + ], + [ + 2334, + 2758 + ], + [ + 7160, + 7683 + ], + [ + 1690, + 9072 + ], + [ + 7596, + 10465 + ], + [ + 31, + 2347 + ], + [ + 500, + 7521 + ], + [ + 3955, + 4468 + ], + [ + 4161, + 8508 + ], + [ + 59, + 3614 + ], + [ + 1184, + 8153 + ], + [ + 2141, + 6500 + ], + [ + 4485, + 11049 + ], + [ + 3425, + 11069 + ], + [ + 3914, + 4844 + ], + [ + 3829, + 9432 + ], + [ + 2368, + 9108 + ], + [ + 4665, + 9704 + ], + [ + 6227, + 10080 + ], + [ + 780, + 6757 + ], + [ + 8615, + 10040 + ], + [ + 7526, + 9322 + ], + [ + 2951, + 8934 + ], + [ + 6244, + 11215 + ], + [ + 4382, + 10547 + ], + [ + 3282, + 7758 + ], + [ + 5398, + 9474 + ], + [ + 3748, + 6245 + ], + [ + 6776, + 8043 + ], + [ + 4093, + 9663 + ], + [ + 4053, + 10264 + ], + [ + 5585, + 6267 + ], + [ + 122, + 3939 + ], + [ + 9149, + 9573 + ], + [ + 7122, + 10558 + ], + [ + 7667, + 8372 + ], + [ + 2342, + 6732 + ], + [ + 3981, + 9048 + ], + [ + 7372, + 7700 + ], + [ + 1685, + 11306 + ], + [ + 7282, + 11190 + ], + [ + 2639, + 9355 + ], + [ + 717, + 8636 + ], + [ + 7780, + 9188 + ], + [ + 648, + 10751 + ], + [ + 188, + 8292 + ], + [ + 2454, + 7323 + ], + [ + 2755, + 10469 + ], + [ + 4472, + 8504 + ], + [ + 9112, + 10041 + ], + [ + 3840, + 11445 + ], + [ + 20, + 9647 + ], + [ + 4901, + 7863 + ], + [ + 3166, + 9222 + ], + [ + 6948, + 7530 + ], + [ + 4112, + 6656 + ], + [ + 8361, + 8537 + ], + [ + 3621, + 9802 + ], + [ + 2721, + 5573 + ], + [ + 9844, + 10340 + ], + [ + 4672, + 11194 + ], + [ + 196, + 8533 + ], + [ + 2811, + 7718 + ], + [ + 2183, + 8149 + ], + [ + 101, + 9427 + ], + [ + 5486, + 11118 + ], + [ + 9557, + 10283 + ], + [ + 9710, + 11279 + ], + [ + 470, + 10233 + ], + [ + 4073, + 7832 + ], + [ + 6196, + 6555 + ], + [ + 931, + 4966 + ], + [ + 934, + 8647 + ], + [ + 872, + 7769 + ], + [ + 5199, + 11061 + ], + [ + 7682, + 7875 + ], + [ + 7591, + 8511 + ], + [ + 619, + 907 + ], + [ + 1711, + 5306 + ], + [ + 4668, + 8392 + ], + [ + 96, + 10931 + ], + [ + 2677, + 4870 + ], + [ + 1480, + 2929 + ], + [ + 5440, + 11123 + ], + [ + 5564, + 6463 + ], + [ + 1973, + 6245 + ], + [ + 6902, + 7885 + ], + [ + 2533, + 4367 + ], + [ + 3785, + 4517 + ], + [ + 480, + 721 + ], + [ + 1790, + 10675 + ], + [ + 238, + 3817 + ], + [ + 2251, + 4654 + ], + [ + 545, + 8663 + ], + [ + 2847, + 3187 + ], + [ + 697, + 5270 + ], + [ + 3240, + 9305 + ], + [ + 1378, + 8637 + ], + [ + 1801, + 4044 + ], + [ + 4853, + 6236 + ], + [ + 4739, + 9332 + ], + [ + 6126, + 6509 + ], + [ + 3832, + 10348 + ], + [ + 4921, + 8814 + ], + [ + 1182, + 7944 + ], + [ + 958, + 5984 + ], + [ + 8616, + 8631 + ], + [ + 4168, + 9516 + ], + [ + 2050, + 3967 + ], + [ + 4568, + 10389 + ], + [ + 642, + 1025 + ], + [ + 4965, + 6827 + ], + [ + 8208, + 9745 + ], + [ + 1057, + 9346 + ], + [ + 3874, + 6036 + ], + [ + 8180, + 8451 + ], + [ + 5768, + 8871 + ], + [ + 4524, + 7084 + ], + [ + 1110, + 6728 + ], + [ + 43, + 9741 + ], + [ + 7486, + 10514 + ], + [ + 2593, + 4367 + ], + [ + 2968, + 3490 + ], + [ + 3250, + 6586 + ], + [ + 8346, + 8928 + ], + [ + 6140, + 7696 + ], + [ + 1162, + 10301 + ], + [ + 1886, + 9578 + ], + [ + 2750, + 5482 + ], + [ + 933, + 3833 + ], + [ + 2281, + 10107 + ], + [ + 5116, + 7346 + ], + [ + 3368, + 7746 + ], + [ + 5326, + 8876 + ], + [ + 379, + 5876 + ], + [ + 8834, + 8867 + ], + [ + 6700, + 9955 + ], + [ + 67, + 10485 + ], + [ + 5793, + 10971 + ], + [ + 7601, + 10622 + ], + [ + 5703, + 8045 + ], + [ + 2546, + 4147 + ], + [ + 619, + 2330 + ], + [ + 343, + 3186 + ], + [ + 4422, + 6376 + ], + [ + 3946, + 9830 + ], + [ + 5472, + 8297 + ], + [ + 1355, + 2371 + ], + [ + 2757, + 5498 + ], + [ + 2861, + 5821 + ], + [ + 2911, + 5184 + ], + [ + 4256, + 7777 + ], + [ + 78, + 7991 + ], + [ + 272, + 11240 + ], + [ + 1480, + 11118 + ], + [ + 4499, + 7912 + ], + [ + 5932, + 6188 + ], + [ + 7195, + 8779 + ], + [ + 7257, + 9657 + ], + [ + 2118, + 4235 + ], + [ + 3189, + 7757 + ], + [ + 2217, + 4214 + ], + [ + 4517, + 8491 + ], + [ + 219, + 3685 + ], + [ + 263, + 10373 + ], + [ + 2648, + 6652 + ], + [ + 1029, + 9152 + ], + [ + 7696, + 9704 + ], + [ + 9218, + 11435 + ], + [ + 2430, + 8644 + ], + [ + 7137, + 11403 + ], + [ + 7624, + 11521 + ], + [ + 5917, + 7758 + ], + [ + 1034, + 7217 + ], + [ + 8876, + 10917 + ], + [ + 1030, + 3311 + ], + [ + 772, + 4773 + ], + [ + 7998, + 11173 + ], + [ + 2480, + 4974 + ], + [ + 8245, + 11050 + ], + [ + 1738, + 8501 + ], + [ + 3511, + 9097 + ], + [ + 7515, + 10423 + ], + [ + 4215, + 11135 + ], + [ + 3349, + 7988 + ], + [ + 7676, + 11280 + ], + [ + 8669, + 9284 + ], + [ + 6792, + 7584 + ], + [ + 2817, + 8127 + ], + [ + 699, + 9748 + ], + [ + 2478, + 8661 + ], + [ + 138, + 821 + ], + [ + 2257, + 6972 + ], + [ + 6551, + 7872 + ], + [ + 1842, + 4286 + ], + [ + 4930, + 9545 + ], + [ + 730, + 8280 + ], + [ + 7388, + 10998 + ], + [ + 1220, + 7915 + ], + [ + 6987, + 10654 + ], + [ + 3265, + 4503 + ], + [ + 5670, + 7076 + ], + [ + 4823, + 8143 + ], + [ + 2082, + 10539 + ], + [ + 3926, + 10601 + ], + [ + 2056, + 2902 + ], + [ + 1620, + 5755 + ], + [ + 1983, + 9779 + ], + [ + 2945, + 6218 + ], + [ + 4732, + 5746 + ], + [ + 644, + 2470 + ], + [ + 9024, + 9983 + ], + [ + 3012, + 11577 + ], + [ + 3690, + 10509 + ], + [ + 7958, + 10188 + ], + [ + 611, + 3461 + ], + [ + 7677, + 7694 + ], + [ + 757, + 3286 + ], + [ + 2501, + 5396 + ], + [ + 479, + 6725 + ], + [ + 3712, + 4791 + ], + [ + 3650, + 3913 + ], + [ + 6368, + 11147 + ], + [ + 7223, + 9217 + ], + [ + 11190, + 11412 + ], + [ + 7828, + 11246 + ], + [ + 3938, + 4545 + ], + [ + 6083, + 11163 + ], + [ + 3740, + 3806 + ], + [ + 8566, + 8731 + ], + [ + 1849, + 4652 + ], + [ + 5047, + 10079 + ], + [ + 8562, + 11241 + ], + [ + 2927, + 4457 + ], + [ + 6266, + 7083 + ], + [ + 4632, + 5141 + ], + [ + 2983, + 4766 + ], + [ + 1331, + 1464 + ], + [ + 2461, + 6347 + ], + [ + 1900, + 3836 + ], + [ + 5501, + 10434 + ], + [ + 3073, + 6911 + ], + [ + 2455, + 8030 + ], + [ + 549, + 1428 + ], + [ + 2577, + 3297 + ], + [ + 4044, + 4567 + ], + [ + 202, + 6982 + ], + [ + 5845, + 7965 + ], + [ + 370, + 9010 + ], + [ + 3700, + 10392 + ], + [ + 4003, + 7949 + ], + [ + 1663, + 10689 + ], + [ + 2561, + 5423 + ], + [ + 664, + 1536 + ], + [ + 5366, + 11121 + ], + [ + 1324, + 4026 + ], + [ + 8574, + 10820 + ], + [ + 3717, + 4330 + ], + [ + 1091, + 11402 + ], + [ + 1662, + 4021 + ], + [ + 3124, + 7199 + ], + [ + 724, + 3472 + ], + [ + 5326, + 8689 + ], + [ + 3113, + 6286 + ], + [ + 8094, + 8116 + ], + [ + 6046, + 11230 + ], + [ + 8097, + 8387 + ], + [ + 1528, + 4206 + ], + [ + 5101, + 9510 + ], + [ + 6, + 10022 + ], + [ + 97, + 10140 + ], + [ + 8655, + 9846 + ], + [ + 2769, + 5695 + ], + [ + 7657, + 11498 + ], + [ + 799, + 7214 + ], + [ + 5420, + 10953 + ], + [ + 1432, + 7881 + ], + [ + 5783, + 9315 + ], + [ + 5310, + 6651 + ], + [ + 6710, + 8951 + ], + [ + 4695, + 5035 + ], + [ + 4941, + 8474 + ], + [ + 4070, + 4983 + ], + [ + 4846, + 5204 + ], + [ + 3099, + 10710 + ], + [ + 3629, + 7492 + ], + [ + 1666, + 6018 + ], + [ + 3078, + 3417 + ], + [ + 4308, + 7780 + ], + [ + 1732, + 7769 + ], + [ + 5622, + 8808 + ], + [ + 5889, + 5954 + ], + [ + 6052, + 7638 + ], + [ + 5020, + 8925 + ], + [ + 3430, + 10665 + ], + [ + 283, + 1039 + ], + [ + 9503, + 10478 + ], + [ + 354, + 9550 + ], + [ + 1252, + 11454 + ], + [ + 8227, + 9153 + ], + [ + 37, + 8153 + ], + [ + 5233, + 6939 + ], + [ + 10028, + 10299 + ], + [ + 3015, + 4946 + ], + [ + 4166, + 4290 + ], + [ + 1584, + 4464 + ], + [ + 1145, + 7046 + ], + [ + 8928, + 10139 + ], + [ + 2113, + 3273 + ], + [ + 6101, + 7099 + ], + [ + 4317, + 7842 + ], + [ + 865, + 10412 + ], + [ + 2169, + 4336 + ], + [ + 9302, + 9791 + ], + [ + 5441, + 7992 + ], + [ + 4839, + 9644 + ], + [ + 1365, + 8483 + ], + [ + 1701, + 2016 + ], + [ + 2700, + 3972 + ], + [ + 9661, + 10663 + ], + [ + 2794, + 3607 + ], + [ + 7921, + 10924 + ], + [ + 3807, + 8679 + ], + [ + 2225, + 3864 + ], + [ + 857, + 10901 + ], + [ + 1941, + 4105 + ], + [ + 3377, + 6816 + ], + [ + 6367, + 11540 + ], + [ + 10443, + 11049 + ], + [ + 1665, + 2709 + ], + [ + 10154, + 10946 + ], + [ + 4772, + 8772 + ], + [ + 135, + 4500 + ], + [ + 2998, + 3787 + ], + [ + 6322, + 7633 + ], + [ + 5425, + 9337 + ], + [ + 6788, + 6874 + ], + [ + 4109, + 5984 + ], + [ + 3028, + 5127 + ], + [ + 1404, + 1621 + ], + [ + 378, + 7641 + ], + [ + 708, + 2857 + ], + [ + 4073, + 7458 + ], + [ + 10361, + 10643 + ], + [ + 282, + 4146 + ], + [ + 4783, + 8557 + ], + [ + 2820, + 7837 + ], + [ + 4535, + 11461 + ], + [ + 1464, + 5055 + ], + [ + 9116, + 9385 + ], + [ + 6189, + 8393 + ], + [ + 2696, + 8710 + ], + [ + 4284, + 4645 + ], + [ + 1054, + 10260 + ], + [ + 3812, + 11251 + ], + [ + 3261, + 7930 + ], + [ + 6267, + 6771 + ], + [ + 1534, + 2791 + ], + [ + 4312, + 9322 + ], + [ + 1822, + 2669 + ], + [ + 5051, + 10415 + ], + [ + 7356, + 8620 + ], + [ + 128, + 5557 + ], + [ + 1225, + 8048 + ], + [ + 5045, + 9065 + ], + [ + 308, + 7595 + ], + [ + 5480, + 6741 + ], + [ + 1691, + 6508 + ], + [ + 1959, + 7262 + ], + [ + 6511, + 6700 + ], + [ + 1903, + 7330 + ], + [ + 844, + 10958 + ], + [ + 187, + 6487 + ], + [ + 7188, + 10325 + ], + [ + 4941, + 9092 + ], + [ + 5440, + 6561 + ], + [ + 5792, + 10396 + ], + [ + 3416, + 7063 + ], + [ + 4479, + 10724 + ], + [ + 1769, + 8269 + ], + [ + 9208, + 11552 + ], + [ + 5438, + 6865 + ], + [ + 2294, + 7336 + ], + [ + 1358, + 3450 + ], + [ + 353, + 10347 + ], + [ + 2354, + 8141 + ], + [ + 9790, + 11153 + ], + [ + 72, + 7853 + ], + [ + 3475, + 4610 + ], + [ + 4686, + 10421 + ], + [ + 2969, + 5970 + ], + [ + 3528, + 7654 + ], + [ + 601, + 7416 + ], + [ + 2439, + 6909 + ], + [ + 1768, + 3506 + ], + [ + 4202, + 10981 + ], + [ + 3462, + 7007 + ], + [ + 6342, + 7429 + ], + [ + 1744, + 8747 + ], + [ + 2453, + 7746 + ], + [ + 6976, + 7944 + ], + [ + 936, + 9742 + ], + [ + 5913, + 7666 + ], + [ + 992, + 10805 + ], + [ + 610, + 4095 + ], + [ + 5878, + 9365 + ], + [ + 7675, + 8103 + ], + [ + 1945, + 8629 + ], + [ + 3808, + 6489 + ], + [ + 4028, + 8707 + ], + [ + 327, + 1905 + ], + [ + 2309, + 3429 + ], + [ + 1906, + 6422 + ], + [ + 1539, + 11324 + ], + [ + 5359, + 6706 + ], + [ + 6105, + 10468 + ], + [ + 224, + 4409 + ], + [ + 1164, + 8414 + ], + [ + 2830, + 5760 + ], + [ + 1271, + 9065 + ], + [ + 1690, + 7706 + ], + [ + 4861, + 4894 + ], + [ + 2063, + 6756 + ], + [ + 1117, + 2182 + ], + [ + 7343, + 8653 + ], + [ + 2769, + 11119 + ], + [ + 6310, + 7086 + ], + [ + 2043, + 8763 + ], + [ + 4037, + 4632 + ], + [ + 496, + 2249 + ], + [ + 3978, + 7435 + ], + [ + 2259, + 9327 + ], + [ + 2479, + 11545 + ], + [ + 17, + 2022 + ], + [ + 8423, + 8504 + ], + [ + 945, + 3014 + ], + [ + 6118, + 7266 + ], + [ + 5493, + 11378 + ], + [ + 4151, + 9056 + ], + [ + 4467, + 10982 + ], + [ + 6112, + 6697 + ], + [ + 8634, + 9855 + ], + [ + 4706, + 6834 + ], + [ + 6703, + 7138 + ], + [ + 1813, + 4672 + ], + [ + 2429, + 6890 + ], + [ + 5300, + 10956 + ], + [ + 854, + 10416 + ], + [ + 5455, + 5609 + ], + [ + 658, + 6340 + ], + [ + 1835, + 6905 + ], + [ + 5393, + 11147 + ], + [ + 9869, + 11529 + ], + [ + 4521, + 8185 + ], + [ + 7162, + 8591 + ], + [ + 407, + 5940 + ], + [ + 679, + 4184 + ], + [ + 1707, + 11042 + ], + [ + 716, + 6695 + ], + [ + 124, + 9035 + ], + [ + 2645, + 2923 + ], + [ + 1676, + 3061 + ], + [ + 748, + 5452 + ], + [ + 1245, + 6258 + ], + [ + 5037, + 10172 + ], + [ + 9641, + 11298 + ], + [ + 2738, + 8749 + ], + [ + 3638, + 4310 + ], + [ + 3068, + 10381 + ], + [ + 3844, + 4186 + ], + [ + 9852, + 10020 + ], + [ + 7183, + 9818 + ], + [ + 2140, + 10520 + ], + [ + 8458, + 10918 + ], + [ + 822, + 6340 + ], + [ + 390, + 4431 + ], + [ + 2669, + 10083 + ], + [ + 2602, + 8861 + ], + [ + 5248, + 7359 + ], + [ + 2502, + 4493 + ], + [ + 1129, + 11186 + ], + [ + 4742, + 8719 + ], + [ + 4347, + 11573 + ], + [ + 1068, + 6746 + ], + [ + 2033, + 9118 + ], + [ + 142, + 9964 + ], + [ + 2905, + 9047 + ], + [ + 4684, + 8714 + ], + [ + 6697, + 8797 + ], + [ + 5141, + 5957 + ], + [ + 3336, + 5069 + ], + [ + 4728, + 7508 + ], + [ + 9101, + 11145 + ], + [ + 5727, + 9464 + ], + [ + 5233, + 8175 + ], + [ + 403, + 10678 + ], + [ + 6514, + 6811 + ], + [ + 2150, + 4391 + ], + [ + 4292, + 7328 + ], + [ + 5092, + 5691 + ], + [ + 1024, + 3791 + ], + [ + 4379, + 9956 + ], + [ + 2493, + 4730 + ], + [ + 2338, + 7071 + ], + [ + 2644, + 10561 + ], + [ + 1335, + 1963 + ], + [ + 2983, + 7775 + ], + [ + 22, + 11336 + ], + [ + 3281, + 4207 + ], + [ + 2787, + 7836 + ], + [ + 3497, + 8935 + ], + [ + 5126, + 11287 + ], + [ + 109, + 3384 + ], + [ + 4651, + 8550 + ], + [ + 7390, + 9491 + ], + [ + 6485, + 7170 + ], + [ + 2973, + 9689 + ], + [ + 4341, + 7570 + ], + [ + 1469, + 6285 + ], + [ + 9595, + 10498 + ], + [ + 3590, + 9099 + ], + [ + 1188, + 10961 + ], + [ + 358, + 7471 + ], + [ + 2555, + 10869 + ], + [ + 3095, + 8339 + ], + [ + 2114, + 10372 + ], + [ + 6286, + 10343 + ], + [ + 991, + 3627 + ], + [ + 3554, + 9038 + ], + [ + 3821, + 6938 + ], + [ + 5261, + 6385 + ], + [ + 1837, + 5341 + ], + [ + 8401, + 8424 + ], + [ + 7616, + 10369 + ], + [ + 3073, + 5732 + ], + [ + 6311, + 8306 + ], + [ + 6370, + 8886 + ], + [ + 4510, + 4881 + ], + [ + 1141, + 1292 + ], + [ + 1008, + 8118 + ], + [ + 4653, + 7818 + ], + [ + 3963, + 9623 + ], + [ + 171, + 3457 + ], + [ + 4559, + 8156 + ], + [ + 3435, + 10635 + ], + [ + 2690, + 6317 + ], + [ + 6146, + 10282 + ], + [ + 2677, + 4577 + ], + [ + 7157, + 8865 + ], + [ + 1554, + 4248 + ], + [ + 7557, + 9738 + ], + [ + 1774, + 6466 + ], + [ + 965, + 10269 + ], + [ + 3639, + 10815 + ], + [ + 3819, + 9470 + ], + [ + 902, + 3504 + ], + [ + 685, + 4967 + ], + [ + 2108, + 2555 + ], + [ + 1051, + 7010 + ], + [ + 8771, + 9781 + ], + [ + 2073, + 9916 + ], + [ + 5753, + 9425 + ], + [ + 2921, + 5287 + ], + [ + 1861, + 6061 + ], + [ + 2510, + 6507 + ], + [ + 3626, + 6796 + ], + [ + 7896, + 9554 + ], + [ + 2165, + 6472 + ], + [ + 10012, + 11270 + ], + [ + 2097, + 7277 + ], + [ + 1040, + 5316 + ], + [ + 1592, + 3577 + ], + [ + 581, + 10629 + ], + [ + 1882, + 7288 + ], + [ + 2651, + 5584 + ], + [ + 5823, + 9790 + ], + [ + 635, + 10865 + ], + [ + 1688, + 7422 + ], + [ + 2524, + 7694 + ], + [ + 4981, + 5539 + ], + [ + 342, + 6856 + ], + [ + 37, + 6974 + ], + [ + 3321, + 11421 + ], + [ + 3176, + 8788 + ], + [ + 3016, + 10785 + ], + [ + 3298, + 3301 + ], + [ + 7212, + 11150 + ], + [ + 3045, + 3609 + ], + [ + 4698, + 5601 + ], + [ + 1740, + 3798 + ], + [ + 2767, + 7048 + ], + [ + 5291, + 6869 + ], + [ + 3104, + 9851 + ], + [ + 4816, + 7542 + ], + [ + 3190, + 5461 + ], + [ + 1196, + 2422 + ], + [ + 509, + 1492 + ], + [ + 3791, + 10754 + ], + [ + 6453, + 9031 + ], + [ + 10262, + 11394 + ], + [ + 5215, + 11196 + ], + [ + 4243, + 6899 + ], + [ + 4831, + 7823 + ], + [ + 1068, + 6559 + ], + [ + 1257, + 9464 + ], + [ + 1754, + 10270 + ], + [ + 503, + 4306 + ], + [ + 1100, + 2310 + ], + [ + 702, + 7899 + ], + [ + 4778, + 7408 + ], + [ + 3002, + 5760 + ], + [ + 5741, + 7455 + ], + [ + 3750, + 10349 + ], + [ + 4989, + 5376 + ], + [ + 5959, + 8846 + ], + [ + 1596, + 3645 + ], + [ + 3017, + 6822 + ], + [ + 214, + 7586 + ], + [ + 5609, + 10719 + ], + [ + 6566, + 6814 + ], + [ + 3918, + 5237 + ], + [ + 1557, + 2936 + ], + [ + 5538, + 5591 + ], + [ + 1522, + 11051 + ], + [ + 2394, + 10980 + ], + [ + 154, + 338 + ], + [ + 3144, + 5062 + ], + [ + 5310, + 6895 + ], + [ + 3704, + 10354 + ], + [ + 2671, + 6535 + ], + [ + 176, + 7452 + ], + [ + 1824, + 7602 + ], + [ + 2135, + 9184 + ], + [ + 2601, + 4261 + ], + [ + 4221, + 8779 + ], + [ + 1005, + 1268 + ], + [ + 860, + 5051 + ], + [ + 1782, + 10759 + ], + [ + 5772, + 8996 + ], + [ + 1314, + 9193 + ], + [ + 2776, + 5955 + ], + [ + 345, + 2915 + ], + [ + 3679, + 7449 + ], + [ + 3872, + 5592 + ], + [ + 7915, + 9125 + ], + [ + 563, + 4306 + ], + [ + 10719, + 11215 + ], + [ + 2736, + 6556 + ], + [ + 654, + 3670 + ], + [ + 7006, + 9314 + ], + [ + 2840, + 6879 + ], + [ + 3081, + 9974 + ], + [ + 6286, + 10156 + ], + [ + 9346, + 9957 + ], + [ + 2302, + 7203 + ], + [ + 5436, + 10925 + ], + [ + 7027, + 10541 + ], + [ + 5936, + 8996 + ], + [ + 5960, + 7138 + ], + [ + 1230, + 2675 + ], + [ + 1675, + 9707 + ], + [ + 4168, + 7963 + ], + [ + 7919, + 11122 + ], + [ + 2820, + 9236 + ], + [ + 3379, + 6756 + ], + [ + 3315, + 9215 + ], + [ + 9507, + 10440 + ], + [ + 3194, + 10386 + ], + [ + 4679, + 8852 + ], + [ + 642, + 9271 + ], + [ + 5363, + 9484 + ], + [ + 1168, + 8563 + ], + [ + 1383, + 10437 + ], + [ + 7009, + 8807 + ], + [ + 5605, + 9017 + ], + [ + 4896, + 10772 + ], + [ + 2690, + 6130 + ], + [ + 5993, + 9099 + ], + [ + 4306, + 6742 + ], + [ + 10211, + 10943 + ], + [ + 4850, + 7394 + ], + [ + 1372, + 8743 + ], + [ + 33, + 10102 + ], + [ + 1960, + 8913 + ], + [ + 5444, + 10762 + ], + [ + 4228, + 4607 + ], + [ + 7221, + 9602 + ], + [ + 7054, + 8176 + ], + [ + 8683, + 10528 + ], + [ + 923, + 10610 + ], + [ + 202, + 1428 + ], + [ + 5289, + 10824 + ], + [ + 8016, + 10250 + ], + [ + 5067, + 5527 + ], + [ + 772, + 7408 + ], + [ + 5531, + 10357 + ], + [ + 5909, + 9751 + ], + [ + 2414, + 9241 + ], + [ + 5735, + 7154 + ], + [ + 4369, + 4438 + ], + [ + 2598, + 5386 + ], + [ + 2560, + 2650 + ], + [ + 608, + 3220 + ], + [ + 8720, + 11507 + ], + [ + 1758, + 4591 + ], + [ + 1276, + 11263 + ], + [ + 7198, + 10907 + ], + [ + 3216, + 11033 + ], + [ + 3837, + 7179 + ], + [ + 7932, + 10902 + ], + [ + 6968, + 11384 + ], + [ + 5719, + 9253 + ], + [ + 3461, + 7831 + ], + [ + 1769, + 11546 + ], + [ + 1463, + 1640 + ], + [ + 3202, + 3406 + ], + [ + 5629, + 9710 + ], + [ + 581, + 5904 + ], + [ + 1918, + 2220 + ], + [ + 2363, + 9252 + ], + [ + 2953, + 6085 + ], + [ + 2199, + 7343 + ], + [ + 5992, + 10701 + ], + [ + 2687, + 3899 + ], + [ + 3791, + 10567 + ], + [ + 7917, + 9439 + ], + [ + 2755, + 8729 + ], + [ + 1313, + 6203 + ], + [ + 2906, + 8898 + ], + [ + 4124, + 9464 + ], + [ + 562, + 1316 + ], + [ + 5859, + 8078 + ], + [ + 1187, + 4751 + ], + [ + 5880, + 5922 + ], + [ + 4106, + 5101 + ], + [ + 1179, + 4109 + ], + [ + 3104, + 8509 + ], + [ + 5041, + 11014 + ], + [ + 2121, + 4777 + ], + [ + 3360, + 6974 + ], + [ + 7028, + 10630 + ], + [ + 3041, + 8160 + ], + [ + 3987, + 6318 + ], + [ + 1143, + 1419 + ], + [ + 7847, + 10898 + ], + [ + 4625, + 6605 + ], + [ + 3205, + 6282 + ], + [ + 993, + 7487 + ], + [ + 7230, + 7731 + ], + [ + 5309, + 9866 + ], + [ + 5839, + 6648 + ], + [ + 3659, + 7391 + ], + [ + 199, + 5936 + ], + [ + 4376, + 6251 + ], + [ + 11160, + 11552 + ], + [ + 4092, + 6492 + ], + [ + 5644, + 6180 + ], + [ + 6898, + 8655 + ], + [ + 1829, + 11142 + ], + [ + 3808, + 6733 + ], + [ + 3927, + 8145 + ], + [ + 1509, + 3058 + ], + [ + 10337, + 10761 + ], + [ + 3370, + 6507 + ], + [ + 8170, + 9457 + ], + [ + 691, + 3365 + ], + [ + 2810, + 4598 + ], + [ + 3341, + 11404 + ], + [ + 622, + 4699 + ], + [ + 56, + 6008 + ], + [ + 2182, + 8412 + ], + [ + 6669, + 9707 + ], + [ + 4290, + 6103 + ], + [ + 4045, + 6272 + ], + [ + 7966, + 8122 + ], + [ + 3171, + 3264 + ], + [ + 22, + 3391 + ], + [ + 5247, + 7833 + ], + [ + 5718, + 7418 + ], + [ + 6072, + 8670 + ], + [ + 1263, + 11296 + ], + [ + 461, + 4192 + ], + [ + 4915, + 8757 + ], + [ + 3442, + 11082 + ], + [ + 1771, + 9982 + ], + [ + 4029, + 4234 + ], + [ + 3880, + 10527 + ], + [ + 5093, + 10749 + ], + [ + 4090, + 5641 + ], + [ + 5495, + 8285 + ], + [ + 3367, + 9218 + ], + [ + 5834, + 7751 + ], + [ + 975, + 5352 + ], + [ + 6360, + 7043 + ], + [ + 1473, + 9012 + ], + [ + 912, + 4249 + ], + [ + 9474, + 11244 + ], + [ + 386, + 8340 + ], + [ + 66, + 8924 + ], + [ + 2590, + 5739 + ], + [ + 7435, + 10714 + ], + [ + 6201, + 9615 + ], + [ + 5767, + 6879 + ], + [ + 3398, + 4717 + ], + [ + 4265, + 10718 + ], + [ + 3800, + 7915 + ], + [ + 1622, + 3069 + ], + [ + 4884, + 6037 + ], + [ + 6009, + 6412 + ], + [ + 1595, + 10291 + ], + [ + 6031, + 7891 + ], + [ + 4914, + 8131 + ], + [ + 8337, + 9704 + ], + [ + 1608, + 4110 + ], + [ + 1451, + 10542 + ], + [ + 358, + 1754 + ], + [ + 9074, + 9216 + ], + [ + 2952, + 6478 + ], + [ + 5280, + 6387 + ], + [ + 5459, + 8604 + ], + [ + 139, + 4275 + ], + [ + 2879, + 8070 + ], + [ + 2463, + 2530 + ], + [ + 3412, + 11539 + ], + [ + 1164, + 10081 + ], + [ + 229, + 9803 + ], + [ + 4228, + 6648 + ], + [ + 2059, + 10933 + ], + [ + 492, + 3797 + ], + [ + 2303, + 11293 + ], + [ + 503, + 11503 + ], + [ + 5066, + 6966 + ], + [ + 7867, + 8785 + ], + [ + 372, + 2160 + ], + [ + 241, + 9813 + ], + [ + 7710, + 8801 + ], + [ + 9296, + 10325 + ], + [ + 1170, + 3860 + ], + [ + 2363, + 9065 + ], + [ + 8729, + 11409 + ], + [ + 6774, + 10550 + ], + [ + 8584, + 8776 + ], + [ + 418, + 1000 + ], + [ + 4062, + 5016 + ], + [ + 6087, + 7368 + ], + [ + 6950, + 9463 + ], + [ + 4656, + 9138 + ], + [ + 9007, + 10572 + ], + [ + 5738, + 6433 + ], + [ + 6147, + 10802 + ], + [ + 5061, + 10355 + ], + [ + 8261, + 10193 + ], + [ + 3001, + 8948 + ], + [ + 9157, + 10516 + ], + [ + 5511, + 10591 + ], + [ + 4079, + 8753 + ], + [ + 657, + 1366 + ], + [ + 1933, + 8326 + ], + [ + 7100, + 7128 + ], + [ + 3697, + 6207 + ], + [ + 3710, + 4160 + ], + [ + 2053, + 6930 + ], + [ + 1157, + 11488 + ], + [ + 6061, + 11408 + ], + [ + 2869, + 9179 + ], + [ + 8246, + 11009 + ], + [ + 3017, + 9831 + ], + [ + 2459, + 11001 + ], + [ + 1838, + 2023 + ], + [ + 5850, + 10407 + ], + [ + 585, + 8818 + ], + [ + 306, + 7151 + ], + [ + 1388, + 10862 + ], + [ + 3719, + 3872 + ], + [ + 4804, + 4848 + ], + [ + 3682, + 8127 + ], + [ + 970, + 1839 + ], + [ + 2558, + 4190 + ], + [ + 6510, + 8359 + ], + [ + 7227, + 10629 + ], + [ + 252, + 5760 + ], + [ + 3268, + 6043 + ], + [ + 6258, + 10767 + ], + [ + 9100, + 9177 + ], + [ + 318, + 9763 + ], + [ + 1333, + 10000 + ], + [ + 780, + 11514 + ], + [ + 4985, + 7461 + ], + [ + 2455, + 2907 + ], + [ + 6059, + 9776 + ], + [ + 6377, + 8365 + ], + [ + 548, + 2496 + ], + [ + 6530, + 9361 + ], + [ + 2335, + 8440 + ], + [ + 76, + 3440 + ], + [ + 55, + 2563 + ], + [ + 9511, + 10589 + ], + [ + 4571, + 8760 + ], + [ + 8480, + 9095 + ], + [ + 797, + 8835 + ], + [ + 5465, + 6004 + ], + [ + 7643, + 9352 + ], + [ + 5744, + 8802 + ], + [ + 5732, + 7287 + ], + [ + 1439, + 9995 + ], + [ + 1783, + 9805 + ], + [ + 6234, + 8437 + ], + [ + 4214, + 6429 + ], + [ + 45, + 4477 + ], + [ + 546, + 2019 + ], + [ + 3772, + 3832 + ], + [ + 1652, + 3872 + ], + [ + 6760, + 7729 + ], + [ + 4330, + 7543 + ], + [ + 6384, + 8381 + ], + [ + 2313, + 9970 + ], + [ + 539, + 4985 + ], + [ + 4696, + 9586 + ], + [ + 2810, + 3606 + ], + [ + 1179, + 5345 + ], + [ + 7135, + 10235 + ], + [ + 10108, + 10821 + ], + [ + 2460, + 3200 + ], + [ + 6128, + 11020 + ], + [ + 3788, + 9596 + ], + [ + 550, + 4770 + ], + [ + 1090, + 2240 + ], + [ + 4973, + 8524 + ], + [ + 7089, + 10240 + ], + [ + 864, + 6623 + ], + [ + 4601, + 6666 + ], + [ + 5320, + 5599 + ], + [ + 1543, + 6157 + ], + [ + 9383, + 9784 + ], + [ + 1136, + 8250 + ], + [ + 3942, + 10413 + ], + [ + 5088, + 9413 + ], + [ + 231, + 2923 + ], + [ + 3128, + 8210 + ], + [ + 1325, + 1733 + ], + [ + 9031, + 9332 + ], + [ + 2594, + 5270 + ], + [ + 7547, + 11468 + ], + [ + 8882, + 9209 + ], + [ + 5520, + 9043 + ], + [ + 3056, + 9273 + ], + [ + 10659, + 11459 + ], + [ + 1129, + 8210 + ], + [ + 1261, + 3411 + ], + [ + 7417, + 11395 + ], + [ + 6426, + 7802 + ], + [ + 9490, + 10785 + ], + [ + 968, + 6572 + ], + [ + 2587, + 7482 + ], + [ + 808, + 2153 + ], + [ + 1613, + 7276 + ], + [ + 4388, + 10880 + ], + [ + 4114, + 5393 + ], + [ + 1179, + 4540 + ], + [ + 8687, + 9872 + ], + [ + 3135, + 4843 + ], + [ + 1680, + 5465 + ], + [ + 3576, + 5717 + ], + [ + 9080, + 9574 + ], + [ + 2824, + 3638 + ], + [ + 7092, + 9733 + ], + [ + 7609, + 7781 + ], + [ + 5840, + 7304 + ], + [ + 4945, + 5671 + ], + [ + 5533, + 5841 + ], + [ + 4874, + 6959 + ], + [ + 3938, + 9489 + ], + [ + 2325, + 9525 + ], + [ + 5954, + 7591 + ], + [ + 2027, + 11588 + ], + [ + 382, + 8703 + ], + [ + 1903, + 2662 + ], + [ + 7319, + 10836 + ], + [ + 1632, + 8026 + ], + [ + 4051, + 9551 + ], + [ + 6489, + 8100 + ], + [ + 3469, + 11081 + ], + [ + 1659, + 9849 + ], + [ + 7318, + 11365 + ], + [ + 1972, + 8848 + ], + [ + 1134, + 7749 + ], + [ + 1068, + 9381 + ], + [ + 6104, + 10918 + ], + [ + 1040, + 7333 + ], + [ + 9839, + 10134 + ], + [ + 4364, + 11179 + ], + [ + 2743, + 7190 + ], + [ + 11265, + 11403 + ], + [ + 1272, + 6178 + ], + [ + 5540, + 5857 + ], + [ + 3952, + 4260 + ], + [ + 7121, + 10447 + ], + [ + 2049, + 2837 + ], + [ + 1928, + 11178 + ], + [ + 8619, + 9872 + ], + [ + 4285, + 5409 + ], + [ + 3202, + 8643 + ], + [ + 4636, + 9773 + ], + [ + 6628, + 9733 + ], + [ + 3445, + 11030 + ], + [ + 773, + 4895 + ], + [ + 3380, + 4219 + ], + [ + 6339, + 9630 + ], + [ + 4252, + 10564 + ], + [ + 3567, + 4045 + ], + [ + 3682, + 10973 + ], + [ + 2694, + 6143 + ], + [ + 1293, + 10788 + ], + [ + 4583, + 9388 + ], + [ + 49, + 9001 + ], + [ + 384, + 10977 + ], + [ + 5616, + 10174 + ], + [ + 2166, + 7155 + ], + [ + 3028, + 8648 + ], + [ + 4986, + 9778 + ], + [ + 726, + 7708 + ], + [ + 9900, + 10386 + ], + [ + 6691, + 10462 + ], + [ + 6441, + 9533 + ], + [ + 911, + 1045 + ], + [ + 2621, + 8489 + ], + [ + 217, + 3108 + ], + [ + 5636, + 7793 + ], + [ + 6823, + 9800 + ], + [ + 214, + 6220 + ], + [ + 9056, + 9068 + ], + [ + 426, + 3632 + ], + [ + 5068, + 5996 + ], + [ + 4347, + 5482 + ], + [ + 4505, + 6822 + ], + [ + 3289, + 7083 + ], + [ + 5809, + 9414 + ], + [ + 1021, + 11389 + ], + [ + 5532, + 10826 + ], + [ + 4318, + 10379 + ], + [ + 1326, + 8992 + ], + [ + 820, + 3936 + ], + [ + 2418, + 6975 + ], + [ + 4837, + 6248 + ], + [ + 1351, + 3572 + ], + [ + 4597, + 6761 + ], + [ + 1362, + 7868 + ], + [ + 1637, + 9793 + ], + [ + 6047, + 8424 + ], + [ + 7384, + 11156 + ], + [ + 6081, + 11418 + ], + [ + 1687, + 2740 + ], + [ + 3710, + 8429 + ], + [ + 5299, + 7218 + ], + [ + 2369, + 6709 + ], + [ + 10123, + 11316 + ], + [ + 3463, + 5519 + ], + [ + 4825, + 11499 + ], + [ + 744, + 5230 + ], + [ + 6297, + 9703 + ], + [ + 3701, + 8316 + ], + [ + 1951, + 7889 + ], + [ + 2484, + 4188 + ], + [ + 2580, + 3896 + ], + [ + 369, + 9490 + ], + [ + 8739, + 9899 + ], + [ + 10173, + 11029 + ], + [ + 8363, + 10551 + ], + [ + 5772, + 9508 + ], + [ + 2014, + 2172 + ], + [ + 9443, + 11183 + ], + [ + 771, + 3239 + ], + [ + 5184, + 6305 + ], + [ + 2006, + 7946 + ], + [ + 8446, + 9273 + ], + [ + 2195, + 10851 + ], + [ + 1438, + 2012 + ], + [ + 7979, + 10561 + ], + [ + 696, + 1375 + ], + [ + 5654, + 7917 + ], + [ + 6265, + 9791 + ], + [ + 5484, + 9226 + ], + [ + 2911, + 9486 + ], + [ + 6791, + 9083 + ], + [ + 507, + 1853 + ], + [ + 10847, + 11323 + ], + [ + 1339, + 4635 + ], + [ + 8222, + 9915 + ], + [ + 8196, + 8694 + ], + [ + 994, + 1190 + ], + [ + 3216, + 10472 + ], + [ + 7901, + 11028 + ], + [ + 1123, + 6673 + ], + [ + 3081, + 7803 + ], + [ + 10116, + 10471 + ], + [ + 4407, + 5458 + ], + [ + 3637, + 9189 + ], + [ + 5342, + 9119 + ], + [ + 1522, + 8075 + ], + [ + 830, + 6047 + ], + [ + 615, + 2675 + ], + [ + 7083, + 10931 + ], + [ + 4178, + 5756 + ], + [ + 9687, + 9957 + ], + [ + 4623, + 6372 + ], + [ + 5271, + 10757 + ], + [ + 1658, + 2644 + ], + [ + 3823, + 4252 + ], + [ + 4949, + 7481 + ], + [ + 503, + 525 + ], + [ + 6320, + 9043 + ], + [ + 4637, + 10592 + ], + [ + 654, + 694 + ], + [ + 492, + 2618 + ], + [ + 3456, + 6121 + ], + [ + 1553, + 5452 + ], + [ + 1923, + 4231 + ], + [ + 3366, + 9611 + ], + [ + 9400, + 10250 + ], + [ + 5444, + 8591 + ], + [ + 1428, + 9887 + ], + [ + 2137, + 8132 + ], + [ + 2116, + 7255 + ], + [ + 2758, + 4278 + ], + [ + 8485, + 9870 + ], + [ + 7394, + 9079 + ], + [ + 5594, + 9289 + ], + [ + 9859, + 10949 + ], + [ + 6251, + 7344 + ], + [ + 9888, + 10189 + ], + [ + 1822, + 10191 + ], + [ + 6648, + 10952 + ], + [ + 1755, + 2553 + ], + [ + 1885, + 8261 + ], + [ + 5364, + 9766 + ], + [ + 3194, + 4027 + ], + [ + 9004, + 11374 + ], + [ + 823, + 1038 + ], + [ + 790, + 9226 + ], + [ + 576, + 10960 + ], + [ + 138, + 10734 + ], + [ + 7325, + 7380 + ], + [ + 2683, + 9180 + ], + [ + 1998, + 2661 + ], + [ + 7001, + 8222 + ], + [ + 184, + 6945 + ], + [ + 1744, + 10658 + ], + [ + 3358, + 7814 + ], + [ + 65, + 2527 + ], + [ + 3229, + 9124 + ], + [ + 3886, + 7933 + ], + [ + 1561, + 5289 + ], + [ + 2671, + 4632 + ], + [ + 1673, + 5530 + ], + [ + 4518, + 7621 + ], + [ + 1808, + 11582 + ], + [ + 7243, + 11138 + ], + [ + 1020, + 1932 + ], + [ + 546, + 1295 + ], + [ + 2294, + 8442 + ], + [ + 2564, + 5859 + ], + [ + 1949, + 4997 + ], + [ + 1066, + 10571 + ], + [ + 7819, + 10143 + ], + [ + 4216, + 6882 + ], + [ + 9720, + 10739 + ], + [ + 4740, + 5347 + ], + [ + 747, + 10976 + ], + [ + 3488, + 7082 + ], + [ + 2922, + 4227 + ], + [ + 8281, + 11113 + ], + [ + 3682, + 10331 + ], + [ + 4513, + 9505 + ], + [ + 5792, + 7314 + ], + [ + 4828, + 7796 + ], + [ + 2834, + 4757 + ], + [ + 5599, + 7673 + ], + [ + 1179, + 1938 + ], + [ + 962, + 3401 + ], + [ + 6132, + 8136 + ], + [ + 309, + 1301 + ], + [ + 1287, + 8072 + ], + [ + 294, + 10068 + ], + [ + 1696, + 9031 + ], + [ + 6112, + 8608 + ], + [ + 9449, + 11161 + ], + [ + 1445, + 8631 + ], + [ + 10163, + 10504 + ], + [ + 9006, + 10591 + ], + [ + 2378, + 9967 + ], + [ + 292, + 3175 + ], + [ + 1123, + 9519 + ], + [ + 7826, + 9728 + ], + [ + 1216, + 3294 + ], + [ + 4135, + 10060 + ], + [ + 4947, + 5774 + ], + [ + 4079, + 5964 + ], + [ + 854, + 1373 + ], + [ + 1170, + 9715 + ], + [ + 2166, + 4203 + ], + [ + 925, + 6097 + ], + [ + 2635, + 9377 + ], + [ + 2747, + 3956 + ], + [ + 9608, + 11167 + ], + [ + 2972, + 6518 + ], + [ + 1203, + 1877 + ], + [ + 198, + 6522 + ], + [ + 1715, + 9407 + ], + [ + 5832, + 8917 + ], + [ + 5111, + 9157 + ], + [ + 3177, + 6169 + ], + [ + 1372, + 6035 + ], + [ + 3679, + 7319 + ], + [ + 1130, + 9885 + ], + [ + 3176, + 6698 + ], + [ + 4074, + 7848 + ], + [ + 689, + 5978 + ], + [ + 3015, + 11476 + ], + [ + 1924, + 9931 + ], + [ + 1146, + 7385 + ], + [ + 590, + 9382 + ], + [ + 655, + 9777 + ], + [ + 2365, + 4389 + ], + [ + 3287, + 6687 + ], + [ + 4171, + 8131 + ], + [ + 1084, + 9890 + ], + [ + 2359, + 6826 + ], + [ + 10354, + 11522 + ], + [ + 6653, + 7726 + ], + [ + 335, + 11492 + ], + [ + 5182, + 6714 + ], + [ + 5808, + 9620 + ], + [ + 6742, + 10427 + ], + [ + 5658, + 6643 + ], + [ + 3077, + 6288 + ], + [ + 6238, + 9204 + ], + [ + 6673, + 8378 + ], + [ + 644, + 6585 + ], + [ + 3190, + 3721 + ], + [ + 1693, + 7904 + ], + [ + 2350, + 5959 + ], + [ + 4877, + 9461 + ], + [ + 2152, + 5974 + ], + [ + 3652, + 5472 + ], + [ + 816, + 10260 + ], + [ + 10587, + 10942 + ], + [ + 7921, + 8005 + ], + [ + 3833, + 6981 + ], + [ + 42, + 10839 + ], + [ + 4452, + 9470 + ], + [ + 7253, + 11289 + ], + [ + 3634, + 6771 + ], + [ + 2682, + 8768 + ], + [ + 2116, + 5913 + ], + [ + 8119, + 11403 + ], + [ + 7945, + 9530 + ], + [ + 3929, + 4410 + ], + [ + 3106, + 10035 + ], + [ + 2392, + 5030 + ], + [ + 9900, + 10362 + ], + [ + 5072, + 8774 + ], + [ + 9955, + 10069 + ], + [ + 1775, + 2587 + ], + [ + 2855, + 3219 + ], + [ + 2103, + 8310 + ], + [ + 583, + 10789 + ], + [ + 1201, + 3254 + ], + [ + 2444, + 5570 + ], + [ + 4376, + 7731 + ], + [ + 6645, + 9689 + ], + [ + 1597, + 6637 + ], + [ + 4773, + 10585 + ], + [ + 2696, + 5791 + ], + [ + 3993, + 11376 + ], + [ + 6011, + 6141 + ], + [ + 7072, + 8975 + ], + [ + 1536, + 5580 + ], + [ + 6360, + 9678 + ], + [ + 6324, + 7769 + ], + [ + 3743, + 7414 + ], + [ + 8091, + 11583 + ], + [ + 8251, + 9586 + ], + [ + 1184, + 11544 + ], + [ + 1091, + 2685 + ], + [ + 9807, + 10147 + ], + [ + 4552, + 9246 + ], + [ + 3052, + 3332 + ], + [ + 10765, + 11348 + ], + [ + 2955, + 9815 + ], + [ + 744, + 8239 + ], + [ + 3042, + 5273 + ], + [ + 1822, + 8044 + ], + [ + 4690, + 7675 + ], + [ + 3475, + 10790 + ], + [ + 3757, + 7470 + ], + [ + 7707, + 8560 + ], + [ + 4245, + 10442 + ], + [ + 2390, + 10945 + ], + [ + 833, + 4497 + ], + [ + 8914, + 10465 + ], + [ + 10, + 10122 + ], + [ + 5987, + 10227 + ], + [ + 3770, + 4672 + ], + [ + 9931, + 9967 + ], + [ + 4415, + 8759 + ], + [ + 1777, + 7870 + ], + [ + 3621, + 7932 + ], + [ + 5474, + 10766 + ], + [ + 443, + 3157 + ], + [ + 7745, + 10141 + ], + [ + 5191, + 8199 + ], + [ + 310, + 1315 + ], + [ + 3365, + 7188 + ], + [ + 5202, + 9489 + ], + [ + 3110, + 5915 + ], + [ + 4906, + 8215 + ], + [ + 2165, + 10611 + ], + [ + 3631, + 4863 + ], + [ + 1397, + 8753 + ], + [ + 3159, + 5807 + ], + [ + 4220, + 8641 + ], + [ + 10823, + 10898 + ], + [ + 1785, + 8111 + ], + [ + 4534, + 9740 + ], + [ + 241, + 6032 + ], + [ + 3942, + 9047 + ], + [ + 7478, + 11086 + ], + [ + 1600, + 10960 + ], + [ + 2436, + 8980 + ], + [ + 6302, + 7713 + ], + [ + 406, + 6284 + ], + [ + 10340, + 10902 + ], + [ + 6757, + 8293 + ], + [ + 446, + 2650 + ], + [ + 5260, + 6060 + ], + [ + 1831, + 3918 + ], + [ + 124, + 6571 + ], + [ + 7290, + 8756 + ], + [ + 2935, + 9832 + ], + [ + 223, + 10714 + ], + [ + 8091, + 9973 + ], + [ + 5321, + 7467 + ], + [ + 7528, + 10799 + ], + [ + 7445, + 9044 + ], + [ + 3763, + 9462 + ], + [ + 920, + 10827 + ], + [ + 1923, + 3857 + ], + [ + 7717, + 10671 + ], + [ + 1521, + 9704 + ], + [ + 9049, + 11524 + ], + [ + 4097, + 8934 + ], + [ + 1136, + 2696 + ], + [ + 2755, + 3606 + ], + [ + 9071, + 9593 + ], + [ + 2538, + 5823 + ], + [ + 609, + 3179 + ], + [ + 891, + 6275 + ], + [ + 6617, + 9013 + ], + [ + 6491, + 9840 + ], + [ + 1625, + 8522 + ], + [ + 1251, + 10001 + ], + [ + 3889, + 4474 + ], + [ + 4329, + 11162 + ], + [ + 1693, + 4684 + ], + [ + 2310, + 5592 + ], + [ + 1312, + 11408 + ], + [ + 3029, + 9443 + ], + [ + 8743, + 9912 + ], + [ + 6318, + 10070 + ], + [ + 1872, + 9530 + ], + [ + 5783, + 7282 + ], + [ + 905, + 6331 + ], + [ + 4671, + 11276 + ], + [ + 34, + 2840 + ], + [ + 4079, + 7200 + ], + [ + 1739, + 3524 + ], + [ + 2699, + 5552 + ], + [ + 2585, + 4484 + ], + [ + 184, + 9954 + ], + [ + 1545, + 5910 + ], + [ + 2665, + 10105 + ], + [ + 4876, + 5265 + ], + [ + 646, + 5289 + ], + [ + 928, + 8385 + ], + [ + 3352, + 10254 + ], + [ + 5336, + 6189 + ], + [ + 9267, + 9481 + ], + [ + 4938, + 9526 + ], + [ + 5657, + 8459 + ], + [ + 1796, + 6660 + ], + [ + 8795, + 9671 + ], + [ + 5686, + 7699 + ], + [ + 103, + 351 + ], + [ + 1955, + 10854 + ], + [ + 8732, + 9322 + ], + [ + 2533, + 3920 + ], + [ + 2405, + 4674 + ], + [ + 101, + 7825 + ], + [ + 7728, + 10405 + ], + [ + 3585, + 9674 + ], + [ + 7858, + 9697 + ], + [ + 5790, + 10681 + ], + [ + 7264, + 8958 + ], + [ + 4174, + 6282 + ], + [ + 2656, + 5424 + ], + [ + 1529, + 4976 + ], + [ + 5732, + 9922 + ], + [ + 3423, + 7811 + ], + [ + 1434, + 5116 + ], + [ + 5541, + 6190 + ], + [ + 2483, + 6435 + ], + [ + 5349, + 9403 + ], + [ + 36, + 2862 + ], + [ + 1928, + 5624 + ], + [ + 6778, + 10943 + ], + [ + 1306, + 2837 + ], + [ + 5530, + 9414 + ], + [ + 3126, + 4033 + ], + [ + 3390, + 5769 + ], + [ + 2046, + 6784 + ], + [ + 7047, + 9266 + ], + [ + 3186, + 7467 + ], + [ + 3468, + 10563 + ], + [ + 7893, + 10226 + ], + [ + 2162, + 7898 + ], + [ + 256, + 542 + ], + [ + 1107, + 1846 + ], + [ + 8851, + 9929 + ], + [ + 4840, + 10815 + ], + [ + 4957, + 5738 + ], + [ + 7013, + 7403 + ], + [ + 1507, + 9135 + ], + [ + 4433, + 10656 + ], + [ + 1694, + 2545 + ], + [ + 3834, + 5409 + ], + [ + 4708, + 6165 + ], + [ + 252, + 9818 + ], + [ + 718, + 11311 + ], + [ + 5109, + 9892 + ], + [ + 6384, + 6828 + ], + [ + 1310, + 2555 + ], + [ + 3636, + 8053 + ], + [ + 4417, + 8618 + ], + [ + 2025, + 11168 + ], + [ + 597, + 6820 + ], + [ + 5700, + 10333 + ], + [ + 1399, + 1846 + ], + [ + 3291, + 3854 + ], + [ + 372, + 1225 + ], + [ + 4190, + 6360 + ], + [ + 810, + 11250 + ], + [ + 867, + 5368 + ], + [ + 856, + 6707 + ], + [ + 4089, + 8937 + ], + [ + 680, + 8925 + ], + [ + 978, + 6138 + ], + [ + 3254, + 5857 + ], + [ + 989, + 10434 + ], + [ + 3279, + 6853 + ], + [ + 452, + 3813 + ], + [ + 44, + 2298 + ], + [ + 1064, + 4377 + ], + [ + 1260, + 2037 + ], + [ + 2148, + 2499 + ], + [ + 814, + 4202 + ], + [ + 1939, + 8741 + ], + [ + 2658, + 7674 + ], + [ + 5144, + 11175 + ], + [ + 6107, + 10468 + ], + [ + 3851, + 5739 + ], + [ + 5227, + 9897 + ], + [ + 9055, + 9304 + ], + [ + 2398, + 3024 + ], + [ + 813, + 7360 + ], + [ + 2714, + 7956 + ], + [ + 10207, + 11502 + ], + [ + 1026, + 1991 + ], + [ + 659, + 6893 + ], + [ + 458, + 2473 + ], + [ + 1170, + 5153 + ], + [ + 4330, + 8568 + ], + [ + 3260, + 7900 + ], + [ + 5092, + 10611 + ], + [ + 8335, + 9365 + ], + [ + 1823, + 6472 + ], + [ + 4945, + 7151 + ], + [ + 5726, + 6962 + ], + [ + 10547, + 11543 + ], + [ + 3187, + 6863 + ], + [ + 7487, + 10961 + ], + [ + 3065, + 10815 + ], + [ + 5181, + 6115 + ], + [ + 3469, + 9178 + ], + [ + 3407, + 7546 + ], + [ + 4532, + 5669 + ], + [ + 5055, + 7696 + ], + [ + 1440, + 9336 + ], + [ + 1401, + 6375 + ], + [ + 3374, + 8537 + ], + [ + 10251, + 10619 + ], + [ + 4523, + 7808 + ], + [ + 2085, + 7007 + ], + [ + 4010, + 5745 + ], + [ + 5828, + 11002 + ], + [ + 9372, + 10650 + ], + [ + 1213, + 10461 + ], + [ + 8687, + 10547 + ], + [ + 3200, + 10077 + ], + [ + 1806, + 10975 + ], + [ + 3544, + 9887 + ], + [ + 2652, + 6273 + ], + [ + 3294, + 3296 + ], + [ + 4785, + 11376 + ], + [ + 4131, + 4170 + ], + [ + 7363, + 11433 + ], + [ + 1262, + 7320 + ], + [ + 1981, + 6253 + ], + [ + 1972, + 9173 + ], + [ + 555, + 8367 + ], + [ + 3562, + 4400 + ], + [ + 3304, + 3610 + ], + [ + 7851, + 11372 + ], + [ + 2438, + 6879 + ], + [ + 8940, + 9084 + ], + [ + 542, + 965 + ], + [ + 349, + 6986 + ], + [ + 2056, + 4333 + ], + [ + 1916, + 8460 + ], + [ + 3213, + 6875 + ], + [ + 2774, + 10211 + ], + [ + 6177, + 6968 + ], + [ + 8095, + 8699 + ], + [ + 5329, + 8564 + ], + [ + 7, + 10605 + ], + [ + 1143, + 4753 + ], + [ + 6010, + 8925 + ], + [ + 3759, + 6792 + ], + [ + 1281, + 8070 + ], + [ + 9299, + 10306 + ], + [ + 2266, + 5432 + ], + [ + 4403, + 8025 + ], + [ + 4444, + 8026 + ], + [ + 3623, + 4652 + ], + [ + 4195, + 10705 + ], + [ + 5707, + 6830 + ], + [ + 8107, + 9059 + ], + [ + 8451, + 8869 + ], + [ + 5798, + 10331 + ], + [ + 1655, + 9600 + ], + [ + 7630, + 8124 + ], + [ + 3648, + 5998 + ], + [ + 8250, + 11215 + ], + [ + 3176, + 6942 + ], + [ + 3308, + 9313 + ], + [ + 1813, + 2989 + ], + [ + 660, + 7736 + ], + [ + 3516, + 9262 + ], + [ + 1560, + 3297 + ], + [ + 4762, + 8843 + ], + [ + 4662, + 5229 + ], + [ + 5252, + 8478 + ], + [ + 8801, + 9224 + ], + [ + 3254, + 8703 + ], + [ + 1084, + 3718 + ], + [ + 798, + 3132 + ], + [ + 1080, + 6228 + ], + [ + 247, + 5473 + ], + [ + 674, + 5540 + ], + [ + 2234, + 11505 + ], + [ + 3628, + 4191 + ], + [ + 6176, + 7816 + ], + [ + 5718, + 11102 + ], + [ + 2351, + 6428 + ], + [ + 5868, + 7663 + ], + [ + 6917, + 8982 + ], + [ + 1158, + 11022 + ], + [ + 3250, + 8180 + ], + [ + 8518, + 9286 + ], + [ + 4218, + 10823 + ], + [ + 2632, + 2883 + ], + [ + 4562, + 8381 + ], + [ + 3999, + 9207 + ], + [ + 4302, + 6764 + ], + [ + 8634, + 10400 + ], + [ + 4178, + 5008 + ], + [ + 2684, + 8708 + ], + [ + 8621, + 9414 + ], + [ + 7129, + 9777 + ], + [ + 4732, + 5567 + ], + [ + 1805, + 8739 + ], + [ + 8904, + 8948 + ], + [ + 1588, + 3786 + ], + [ + 3792, + 4191 + ], + [ + 2145, + 5397 + ], + [ + 4018, + 9607 + ], + [ + 4476, + 4823 + ], + [ + 2039, + 7630 + ], + [ + 3193, + 6491 + ], + [ + 7248, + 11539 + ], + [ + 2420, + 10705 + ], + [ + 2607, + 4115 + ], + [ + 7646, + 11585 + ], + [ + 1268, + 4720 + ], + [ + 6361, + 7545 + ], + [ + 4031, + 10973 + ], + [ + 11190, + 11233 + ], + [ + 3905, + 8390 + ], + [ + 2749, + 6450 + ], + [ + 884, + 1347 + ], + [ + 7922, + 10702 + ], + [ + 1979, + 9427 + ], + [ + 2354, + 9304 + ], + [ + 1289, + 8980 + ], + [ + 3033, + 9592 + ], + [ + 6615, + 7812 + ], + [ + 2775, + 4638 + ], + [ + 3005, + 7544 + ], + [ + 9624, + 10334 + ], + [ + 5298, + 10650 + ], + [ + 4859, + 6816 + ], + [ + 6199, + 9065 + ], + [ + 504, + 2230 + ], + [ + 1930, + 3499 + ], + [ + 7683, + 10312 + ], + [ + 7719, + 9969 + ], + [ + 7758, + 9143 + ], + [ + 998, + 1984 + ], + [ + 801, + 11269 + ], + [ + 3392, + 10060 + ], + [ + 2363, + 5983 + ], + [ + 4132, + 4208 + ], + [ + 2012, + 4248 + ], + [ + 8796, + 10303 + ], + [ + 5788, + 10635 + ], + [ + 5478, + 9655 + ], + [ + 4157, + 5204 + ], + [ + 891, + 11162 + ], + [ + 7923, + 10149 + ], + [ + 2954, + 9834 + ], + [ + 294, + 6742 + ], + [ + 5928, + 9891 + ], + [ + 269, + 2713 + ], + [ + 50, + 9765 + ], + [ + 2049, + 10896 + ], + [ + 143, + 3540 + ], + [ + 3599, + 9757 + ], + [ + 4447, + 11544 + ], + [ + 3470, + 7657 + ], + [ + 571, + 8713 + ], + [ + 4094, + 7484 + ], + [ + 5142, + 5949 + ], + [ + 3653, + 9993 + ], + [ + 2256, + 4958 + ], + [ + 4033, + 10214 + ], + [ + 1478, + 4664 + ], + [ + 5208, + 9952 + ], + [ + 4517, + 9280 + ], + [ + 4454, + 8177 + ], + [ + 7317, + 7464 + ], + [ + 2740, + 10413 + ], + [ + 3862, + 4855 + ], + [ + 994, + 1060 + ], + [ + 3917, + 4562 + ], + [ + 7349, + 10385 + ], + [ + 6654, + 8840 + ], + [ + 10172, + 10273 + ], + [ + 3515, + 10409 + ], + [ + 3391, + 8653 + ], + [ + 3360, + 7088 + ], + [ + 4657, + 5503 + ], + [ + 1950, + 8981 + ], + [ + 4937, + 7772 + ], + [ + 1890, + 2514 + ], + [ + 3538, + 9080 + ], + [ + 1356, + 1826 + ], + [ + 4566, + 9522 + ], + [ + 896, + 4285 + ], + [ + 4870, + 9933 + ], + [ + 1350, + 2011 + ], + [ + 618, + 8478 + ], + [ + 1759, + 7134 + ], + [ + 2874, + 6067 + ], + [ + 19, + 979 + ], + [ + 3470, + 6852 + ], + [ + 3315, + 9947 + ], + [ + 2899, + 7817 + ], + [ + 3719, + 7556 + ], + [ + 3194, + 4702 + ], + [ + 3746, + 5969 + ], + [ + 3056, + 4768 + ], + [ + 6980, + 11053 + ], + [ + 1619, + 3340 + ], + [ + 6355, + 11001 + ], + [ + 3371, + 7223 + ], + [ + 3493, + 8906 + ], + [ + 2868, + 8854 + ], + [ + 4430, + 9230 + ], + [ + 8157, + 8585 + ], + [ + 6655, + 8260 + ], + [ + 4507, + 11170 + ], + [ + 1306, + 11107 + ], + [ + 5638, + 8327 + ], + [ + 10736, + 11496 + ], + [ + 1335, + 3931 + ], + [ + 6066, + 11248 + ], + [ + 9359, + 9365 + ], + [ + 9400, + 10120 + ], + [ + 6712, + 9144 + ], + [ + 4095, + 9132 + ], + [ + 4532, + 9133 + ], + [ + 4944, + 7357 + ], + [ + 9256, + 9617 + ], + [ + 4490, + 9661 + ], + [ + 3947, + 5447 + ], + [ + 893, + 9598 + ], + [ + 4907, + 8229 + ], + [ + 2321, + 7530 + ], + [ + 4556, + 7248 + ], + [ + 1720, + 5620 + ], + [ + 2726, + 8747 + ], + [ + 3430, + 6648 + ], + [ + 1534, + 7150 + ], + [ + 845, + 3141 + ], + [ + 5146, + 5212 + ], + [ + 4423, + 10287 + ], + [ + 9464, + 10670 + ], + [ + 904, + 3721 + ], + [ + 4732, + 5380 + ], + [ + 1614, + 11236 + ], + [ + 8838, + 10393 + ], + [ + 5968, + 6525 + ], + [ + 1458, + 4280 + ], + [ + 4948, + 7075 + ], + [ + 984, + 7807 + ], + [ + 3047, + 9862 + ], + [ + 6685, + 9145 + ], + [ + 3820, + 9785 + ], + [ + 1418, + 5231 + ], + [ + 600, + 4784 + ], + [ + 3252, + 7234 + ], + [ + 6793, + 9617 + ], + [ + 3300, + 9934 + ], + [ + 4425, + 10309 + ], + [ + 3494, + 6767 + ], + [ + 932, + 10626 + ], + [ + 5820, + 5849 + ], + [ + 8039, + 11450 + ], + [ + 4292, + 4303 + ], + [ + 9128, + 9916 + ], + [ + 4517, + 6865 + ], + [ + 1679, + 11580 + ], + [ + 2589, + 7829 + ], + [ + 2861, + 6073 + ], + [ + 6524, + 7133 + ], + [ + 9978, + 11025 + ], + [ + 3235, + 5725 + ], + [ + 5506, + 11516 + ], + [ + 6213, + 8934 + ], + [ + 6180, + 6542 + ], + [ + 2135, + 6346 + ], + [ + 2201, + 10349 + ], + [ + 1821, + 4466 + ], + [ + 2139, + 7219 + ], + [ + 3192, + 6028 + ], + [ + 3069, + 7126 + ], + [ + 139, + 6617 + ], + [ + 259, + 303 + ], + [ + 166, + 4276 + ], + [ + 171, + 4620 + ], + [ + 6239, + 10505 + ], + [ + 6886, + 7872 + ], + [ + 2598, + 10924 + ], + [ + 5707, + 10644 + ], + [ + 3025, + 3821 + ], + [ + 1825, + 7968 + ], + [ + 1106, + 2619 + ], + [ + 1464, + 6299 + ], + [ + 1842, + 5693 + ], + [ + 5264, + 10074 + ], + [ + 2098, + 7568 + ], + [ + 3421, + 7204 + ], + [ + 7873, + 9444 + ], + [ + 6283, + 7020 + ], + [ + 8368, + 9423 + ], + [ + 2924, + 3365 + ], + [ + 2748, + 7835 + ], + [ + 522, + 1063 + ], + [ + 2743, + 7491 + ], + [ + 2431, + 5684 + ], + [ + 5073, + 7446 + ], + [ + 4792, + 11368 + ], + [ + 2669, + 8481 + ], + [ + 3388, + 5162 + ], + [ + 4467, + 5192 + ], + [ + 449, + 9825 + ], + [ + 5184, + 8216 + ], + [ + 6240, + 10706 + ], + [ + 705, + 1120 + ], + [ + 2759, + 8374 + ], + [ + 6670, + 9536 + ], + [ + 4155, + 6768 + ], + [ + 6015, + 11527 + ], + [ + 2622, + 4878 + ], + [ + 3680, + 8195 + ], + [ + 2379, + 5120 + ], + [ + 1131, + 5843 + ], + [ + 8846, + 9024 + ], + [ + 5272, + 10665 + ], + [ + 5143, + 7811 + ], + [ + 9809, + 10569 + ], + [ + 1629, + 10257 + ], + [ + 686, + 2948 + ], + [ + 2611, + 7348 + ], + [ + 4102, + 9766 + ], + [ + 4179, + 5260 + ], + [ + 3515, + 6034 + ], + [ + 5144, + 8386 + ], + [ + 3358, + 8302 + ], + [ + 6035, + 8365 + ], + [ + 3115, + 8544 + ], + [ + 2241, + 5536 + ], + [ + 5104, + 8987 + ], + [ + 3791, + 11567 + ], + [ + 3354, + 4396 + ], + [ + 3543, + 5049 + ], + [ + 960, + 10283 + ], + [ + 717, + 11279 + ], + [ + 2802, + 7266 + ], + [ + 3423, + 9828 + ], + [ + 7087, + 10332 + ], + [ + 4594, + 6414 + ], + [ + 175, + 9949 + ], + [ + 2226, + 7106 + ], + [ + 10008, + 10755 + ], + [ + 672, + 10755 + ], + [ + 3253, + 3940 + ], + [ + 1427, + 9345 + ], + [ + 5966, + 10830 + ], + [ + 1818, + 9755 + ], + [ + 1484, + 4217 + ], + [ + 3810, + 9715 + ], + [ + 8672, + 9379 + ], + [ + 6275, + 11585 + ], + [ + 503, + 2086 + ], + [ + 2968, + 11126 + ], + [ + 6054, + 9896 + ], + [ + 344, + 1275 + ], + [ + 692, + 8374 + ], + [ + 8689, + 9733 + ], + [ + 6607, + 6847 + ], + [ + 974, + 5054 + ], + [ + 1158, + 1199 + ], + [ + 8506, + 10780 + ], + [ + 5925, + 11179 + ], + [ + 3151, + 10429 + ], + [ + 7972, + 10846 + ], + [ + 2175, + 2980 + ], + [ + 7529, + 10276 + ], + [ + 2579, + 7759 + ], + [ + 8346, + 10498 + ], + [ + 1149, + 2584 + ], + [ + 7711, + 9758 + ], + [ + 1517, + 4700 + ], + [ + 1450, + 3478 + ], + [ + 9525, + 10355 + ], + [ + 5869, + 9742 + ], + [ + 1674, + 8821 + ], + [ + 3322, + 8971 + ], + [ + 5963, + 9377 + ], + [ + 5378, + 6472 + ], + [ + 7890, + 8188 + ], + [ + 2919, + 7046 + ], + [ + 6613, + 10425 + ], + [ + 5620, + 6005 + ], + [ + 931, + 7959 + ], + [ + 6707, + 10060 + ], + [ + 6001, + 9080 + ], + [ + 4411, + 10066 + ], + [ + 791, + 11362 + ], + [ + 228, + 5772 + ], + [ + 5833, + 10435 + ], + [ + 1915, + 11512 + ], + [ + 5186, + 6652 + ], + [ + 100, + 6526 + ], + [ + 2218, + 4905 + ], + [ + 1106, + 9653 + ], + [ + 2247, + 4145 + ], + [ + 8692, + 9980 + ], + [ + 4899, + 5841 + ], + [ + 1847, + 4403 + ], + [ + 389, + 10012 + ], + [ + 5110, + 10225 + ], + [ + 2005, + 10624 + ], + [ + 3397, + 6647 + ], + [ + 2423, + 6441 + ], + [ + 2294, + 3587 + ], + [ + 934, + 4069 + ], + [ + 1677, + 8314 + ], + [ + 1611, + 3530 + ], + [ + 616, + 8863 + ], + [ + 733, + 9448 + ], + [ + 3565, + 7170 + ], + [ + 3728, + 8854 + ], + [ + 2327, + 6329 + ], + [ + 3199, + 9264 + ], + [ + 1606, + 6569 + ], + [ + 2141, + 3695 + ], + [ + 5869, + 5904 + ], + [ + 4284, + 10240 + ], + [ + 1877, + 11004 + ], + [ + 198, + 3627 + ], + [ + 5874, + 6248 + ], + [ + 385, + 9869 + ], + [ + 1012, + 9213 + ], + [ + 3739, + 9393 + ], + [ + 7689, + 9729 + ], + [ + 4482, + 6468 + ], + [ + 4203, + 7053 + ], + [ + 6546, + 8748 + ], + [ + 216, + 419 + ], + [ + 5885, + 6787 + ], + [ + 4792, + 10831 + ], + [ + 4212, + 8270 + ], + [ + 8907, + 10268 + ], + [ + 5535, + 8660 + ], + [ + 4012, + 7458 + ], + [ + 7193, + 9498 + ], + [ + 5758, + 10395 + ], + [ + 7532, + 8964 + ], + [ + 4734, + 10826 + ], + [ + 3392, + 5498 + ], + [ + 8995, + 9334 + ], + [ + 8315, + 9575 + ], + [ + 650, + 9921 + ], + [ + 2887, + 4050 + ], + [ + 2484, + 9295 + ], + [ + 1049, + 7940 + ], + [ + 1361, + 8966 + ], + [ + 3454, + 8978 + ], + [ + 8581, + 10633 + ], + [ + 489, + 5250 + ], + [ + 1754, + 2252 + ], + [ + 883, + 9341 + ], + [ + 4365, + 8111 + ], + [ + 8415, + 8651 + ], + [ + 6479, + 9000 + ], + [ + 3099, + 7474 + ], + [ + 5305, + 6454 + ], + [ + 3529, + 7058 + ], + [ + 2128, + 10949 + ], + [ + 1163, + 2161 + ], + [ + 2785, + 9758 + ], + [ + 6104, + 6844 + ], + [ + 5197, + 7860 + ], + [ + 8838, + 10824 + ], + [ + 4850, + 7752 + ], + [ + 7817, + 10772 + ], + [ + 2958, + 8373 + ], + [ + 57, + 8602 + ], + [ + 6655, + 11269 + ], + [ + 3826, + 10812 + ], + [ + 309, + 2407 + ], + [ + 7652, + 10146 + ], + [ + 955, + 6719 + ], + [ + 4896, + 9975 + ], + [ + 4741, + 6654 + ], + [ + 117, + 9003 + ], + [ + 6457, + 10880 + ], + [ + 1065, + 3854 + ], + [ + 8284, + 8329 + ], + [ + 7893, + 8673 + ], + [ + 3067, + 8666 + ], + [ + 347, + 605 + ], + [ + 4773, + 8040 + ], + [ + 4427, + 7403 + ], + [ + 2904, + 10365 + ], + [ + 1059, + 6668 + ], + [ + 1434, + 5791 + ], + [ + 3915, + 8948 + ], + [ + 1282, + 8403 + ], + [ + 5570, + 6105 + ], + [ + 3708, + 4683 + ], + [ + 6256, + 9062 + ], + [ + 9093, + 11292 + ], + [ + 2266, + 2911 + ], + [ + 3239, + 9308 + ], + [ + 5016, + 8148 + ], + [ + 9520, + 9824 + ], + [ + 10077, + 11435 + ], + [ + 4920, + 11069 + ], + [ + 7747, + 8447 + ], + [ + 244, + 1207 + ], + [ + 1866, + 8804 + ], + [ + 5493, + 10207 + ], + [ + 4846, + 6424 + ], + [ + 11289, + 11432 + ], + [ + 7144, + 9874 + ], + [ + 4192, + 4853 + ], + [ + 8581, + 9023 + ], + [ + 3653, + 3821 + ], + [ + 6633, + 7857 + ], + [ + 1621, + 4462 + ], + [ + 1223, + 10051 + ], + [ + 944, + 11390 + ], + [ + 841, + 1089 + ], + [ + 9725, + 10579 + ], + [ + 2712, + 9390 + ], + [ + 5107, + 6357 + ], + [ + 2678, + 7527 + ], + [ + 7500, + 10044 + ], + [ + 1275, + 10591 + ], + [ + 3615, + 7851 + ], + [ + 406, + 7927 + ], + [ + 2212, + 5253 + ], + [ + 6071, + 6225 + ], + [ + 6590, + 10762 + ], + [ + 7273, + 8540 + ], + [ + 4286, + 7497 + ], + [ + 110, + 10036 + ], + [ + 3694, + 9837 + ], + [ + 1051, + 8604 + ], + [ + 6488, + 10485 + ], + [ + 1273, + 6731 + ], + [ + 1979, + 11094 + ], + [ + 2098, + 6844 + ], + [ + 360, + 7932 + ], + [ + 174, + 4544 + ], + [ + 2132, + 5674 + ], + [ + 2966, + 9283 + ], + [ + 4251, + 7661 + ], + [ + 6646, + 8792 + ], + [ + 4617, + 8950 + ], + [ + 4056, + 4187 + ], + [ + 917, + 5756 + ], + [ + 884, + 9780 + ], + [ + 664, + 1146 + ], + [ + 499, + 3553 + ], + [ + 11066, + 11494 + ], + [ + 973, + 9071 + ], + [ + 5820, + 7703 + ], + [ + 3245, + 11300 + ], + [ + 131, + 8230 + ], + [ + 6691, + 8161 + ], + [ + 3174, + 6172 + ], + [ + 4294, + 10367 + ], + [ + 1407, + 2358 + ], + [ + 11119, + 11505 + ], + [ + 1548, + 1839 + ], + [ + 3676, + 5070 + ], + [ + 8065, + 9240 + ], + [ + 1931, + 4987 + ], + [ + 1365, + 2132 + ], + [ + 8205, + 10748 + ], + [ + 3516, + 6286 + ], + [ + 4282, + 5819 + ], + [ + 887, + 8923 + ], + [ + 9259, + 10159 + ], + [ + 983, + 9385 + ], + [ + 1545, + 10586 + ], + [ + 925, + 8626 + ], + [ + 2909, + 4561 + ], + [ + 918, + 1793 + ], + [ + 264, + 6665 + ], + [ + 7829, + 8367 + ], + [ + 7201, + 8798 + ], + [ + 354, + 8810 + ], + [ + 5920, + 7129 + ], + [ + 5326, + 7144 + ], + [ + 2158, + 9473 + ], + [ + 4121, + 10947 + ], + [ + 7385, + 8326 + ], + [ + 1179, + 2507 + ], + [ + 660, + 10021 + ], + [ + 3585, + 7934 + ], + [ + 1677, + 6167 + ], + [ + 32, + 3282 + ], + [ + 1907, + 9073 + ], + [ + 3830, + 6984 + ], + [ + 282, + 1178 + ], + [ + 6310, + 9916 + ], + [ + 3044, + 9458 + ], + [ + 1645, + 10012 + ], + [ + 7285, + 11478 + ], + [ + 2366, + 4110 + ], + [ + 1361, + 11007 + ], + [ + 1087, + 9684 + ], + [ + 4839, + 5871 + ], + [ + 7645, + 8788 + ], + [ + 52, + 11454 + ], + [ + 3107, + 4495 + ], + [ + 1906, + 5064 + ], + [ + 6685, + 9389 + ], + [ + 8972, + 9297 + ], + [ + 7573, + 9851 + ], + [ + 2967, + 7898 + ], + [ + 394, + 11568 + ], + [ + 382, + 10053 + ], + [ + 5208, + 10814 + ], + [ + 3842, + 7344 + ], + [ + 4590, + 5517 + ], + [ + 3986, + 10506 + ], + [ + 3678, + 6189 + ], + [ + 2090, + 3838 + ], + [ + 1465, + 3786 + ], + [ + 2184, + 3473 + ], + [ + 5394, + 10415 + ], + [ + 2037, + 10593 + ], + [ + 10373, + 11418 + ], + [ + 194, + 7723 + ], + [ + 1894, + 10315 + ], + [ + 2033, + 6687 + ], + [ + 3360, + 4567 + ], + [ + 2931, + 7837 + ], + [ + 244, + 670 + ], + [ + 6513, + 10975 + ], + [ + 4677, + 11528 + ], + [ + 1957, + 7631 + ], + [ + 1893, + 10090 + ], + [ + 2206, + 8335 + ], + [ + 957, + 6204 + ], + [ + 898, + 4843 + ], + [ + 3511, + 7365 + ], + [ + 8841, + 10103 + ], + [ + 3323, + 8068 + ], + [ + 5225, + 9266 + ], + [ + 7933, + 10894 + ], + [ + 824, + 3581 + ], + [ + 9762, + 9924 + ], + [ + 3912, + 5430 + ], + [ + 7556, + 8692 + ], + [ + 8834, + 10063 + ], + [ + 892, + 1995 + ], + [ + 7519, + 9564 + ], + [ + 8011, + 9272 + ], + [ + 81, + 2719 + ], + [ + 9695, + 11331 + ], + [ + 8604, + 10540 + ], + [ + 1380, + 8350 + ], + [ + 3281, + 8192 + ], + [ + 4642, + 4902 + ], + [ + 2059, + 10136 + ], + [ + 4142, + 10214 + ], + [ + 7201, + 10571 + ], + [ + 2368, + 5229 + ], + [ + 3703, + 6380 + ], + [ + 222, + 8966 + ], + [ + 3054, + 5934 + ], + [ + 3856, + 7376 + ], + [ + 2583, + 4070 + ], + [ + 1459, + 6549 + ], + [ + 2983, + 10605 + ], + [ + 8344, + 8492 + ], + [ + 6087, + 6571 + ], + [ + 2107, + 7524 + ], + [ + 1983, + 5014 + ], + [ + 8485, + 10602 + ], + [ + 139, + 2673 + ], + [ + 3874, + 8305 + ], + [ + 3977, + 9184 + ], + [ + 3042, + 8152 + ], + [ + 3009, + 5760 + ], + [ + 292, + 2134 + ], + [ + 610, + 7893 + ], + [ + 693, + 3232 + ], + [ + 157, + 5881 + ], + [ + 6794, + 7722 + ], + [ + 4860, + 5488 + ], + [ + 8566, + 10382 + ], + [ + 5013, + 5730 + ], + [ + 5018, + 6828 + ], + [ + 2611, + 7592 + ], + [ + 7061, + 9005 + ], + [ + 1526, + 3583 + ], + [ + 3489, + 5057 + ], + [ + 1775, + 6539 + ], + [ + 4693, + 9697 + ], + [ + 1672, + 3408 + ], + [ + 3211, + 9250 + ], + [ + 123, + 985 + ], + [ + 7971, + 8637 + ], + [ + 179, + 4300 + ], + [ + 50, + 1446 + ], + [ + 5810, + 7178 + ], + [ + 775, + 8495 + ], + [ + 7371, + 10335 + ], + [ + 6169, + 11433 + ], + [ + 6497, + 10710 + ], + [ + 384, + 7334 + ], + [ + 1631, + 7140 + ], + [ + 4559, + 10986 + ], + [ + 7011, + 8487 + ], + [ + 1541, + 4214 + ], + [ + 5302, + 8061 + ], + [ + 2749, + 4092 + ], + [ + 5419, + 9400 + ], + [ + 4113, + 5981 + ], + [ + 6767, + 9258 + ], + [ + 6294, + 6594 + ], + [ + 3532, + 10365 + ], + [ + 3491, + 3948 + ], + [ + 7720, + 10115 + ], + [ + 4151, + 6438 + ], + [ + 5918, + 10252 + ], + [ + 443, + 11297 + ], + [ + 2766, + 10862 + ], + [ + 6107, + 10151 + ], + [ + 214, + 8993 + ], + [ + 5627, + 7070 + ], + [ + 1408, + 5001 + ], + [ + 1672, + 9019 + ], + [ + 3351, + 10734 + ], + [ + 1489, + 10066 + ], + [ + 10895, + 11559 + ], + [ + 7550, + 8364 + ], + [ + 3785, + 10437 + ], + [ + 5712, + 5838 + ], + [ + 9134, + 10219 + ], + [ + 4199, + 9488 + ], + [ + 9579, + 10835 + ], + [ + 3472, + 9159 + ], + [ + 3157, + 10087 + ], + [ + 6113, + 9565 + ], + [ + 5744, + 11388 + ], + [ + 9013, + 9111 + ], + [ + 2507, + 3000 + ], + [ + 1194, + 5580 + ], + [ + 196, + 816 + ], + [ + 6264, + 6701 + ], + [ + 503, + 11324 + ], + [ + 1434, + 8450 + ], + [ + 8476, + 8879 + ], + [ + 2220, + 2943 + ], + [ + 3584, + 9750 + ], + [ + 1657, + 4523 + ], + [ + 1027, + 10543 + ], + [ + 2118, + 2666 + ], + [ + 879, + 1223 + ], + [ + 8771, + 11456 + ], + [ + 5729, + 6542 + ], + [ + 5873, + 9704 + ], + [ + 2368, + 2814 + ], + [ + 4876, + 7794 + ], + [ + 1830, + 9554 + ], + [ + 4884, + 5403 + ], + [ + 7301, + 10265 + ], + [ + 1487, + 8434 + ], + [ + 5064, + 10474 + ], + [ + 3514, + 5197 + ], + [ + 7429, + 9484 + ], + [ + 891, + 4616 + ], + [ + 8420, + 10825 + ], + [ + 6563, + 10501 + ], + [ + 4252, + 5311 + ], + [ + 8641, + 9481 + ], + [ + 7056, + 7401 + ], + [ + 826, + 3440 + ], + [ + 638, + 9805 + ], + [ + 10906, + 11293 + ], + [ + 21, + 8116 + ], + [ + 7361, + 11420 + ], + [ + 11306, + 11412 + ], + [ + 7608, + 11297 + ], + [ + 1373, + 6992 + ], + [ + 6816, + 10573 + ], + [ + 2987, + 10941 + ], + [ + 161, + 10755 + ], + [ + 1302, + 5247 + ], + [ + 221, + 4390 + ], + [ + 7406, + 10789 + ], + [ + 465, + 4750 + ], + [ + 268, + 7619 + ], + [ + 9113, + 10765 + ], + [ + 4815, + 8965 + ], + [ + 5960, + 7740 + ], + [ + 4621, + 9099 + ], + [ + 1983, + 8210 + ], + [ + 6742, + 11159 + ], + [ + 6492, + 10984 + ], + [ + 1318, + 2343 + ], + [ + 7510, + 10738 + ], + [ + 3313, + 6738 + ], + [ + 3994, + 9351 + ], + [ + 1188, + 7188 + ], + [ + 1941, + 11367 + ], + [ + 2461, + 7461 + ], + [ + 2118, + 10505 + ], + [ + 6223, + 8500 + ], + [ + 2687, + 6461 + ], + [ + 5168, + 9618 + ], + [ + 7845, + 9681 + ], + [ + 5897, + 9993 + ], + [ + 3609, + 6507 + ], + [ + 10430, + 10909 + ], + [ + 7622, + 11329 + ], + [ + 1457, + 7763 + ], + [ + 2582, + 5886 + ], + [ + 5135, + 10609 + ], + [ + 1522, + 6660 + ], + [ + 3757, + 5624 + ], + [ + 5575, + 10881 + ], + [ + 4763, + 8751 + ], + [ + 5685, + 8043 + ], + [ + 3634, + 4470 + ], + [ + 10392, + 10802 + ], + [ + 2390, + 2683 + ], + [ + 1353, + 3626 + ], + [ + 480, + 4226 + ], + [ + 2785, + 8847 + ], + [ + 168, + 6583 + ], + [ + 3039, + 9895 + ], + [ + 8015, + 11381 + ], + [ + 4465, + 4748 + ], + [ + 7075, + 10005 + ], + [ + 2663, + 4131 + ], + [ + 1510, + 8124 + ], + [ + 6327, + 11051 + ], + [ + 6978, + 9291 + ], + [ + 4211, + 10466 + ], + [ + 3488, + 7627 + ], + [ + 3265, + 10773 + ], + [ + 1271, + 2072 + ], + [ + 10890, + 11028 + ], + [ + 6499, + 10195 + ], + [ + 7534, + 7644 + ], + [ + 390, + 7692 + ], + [ + 1274, + 4972 + ], + [ + 7960, + 9738 + ], + [ + 1079, + 8668 + ], + [ + 5315, + 5426 + ], + [ + 917, + 9838 + ], + [ + 9852, + 10248 + ], + [ + 6372, + 10770 + ], + [ + 3404, + 9777 + ], + [ + 2325, + 10501 + ], + [ + 228, + 5829 + ], + [ + 915, + 5978 + ], + [ + 73, + 5891 + ], + [ + 5768, + 6310 + ], + [ + 2129, + 3392 + ], + [ + 10181, + 10874 + ], + [ + 907, + 3084 + ], + [ + 7350, + 10344 + ], + [ + 2682, + 4507 + ], + [ + 655, + 7744 + ], + [ + 880, + 10306 + ], + [ + 648, + 11491 + ], + [ + 2047, + 3767 + ], + [ + 3676, + 6119 + ], + [ + 1985, + 2889 + ], + [ + 4908, + 6391 + ], + [ + 219, + 8345 + ], + [ + 5922, + 9379 + ], + [ + 2299, + 4742 + ], + [ + 2121, + 5379 + ], + [ + 5228, + 11442 + ], + [ + 5730, + 6176 + ], + [ + 2772, + 10035 + ], + [ + 272, + 11362 + ], + [ + 1829, + 4978 + ], + [ + 3128, + 7226 + ], + [ + 5189, + 9235 + ], + [ + 7090, + 9077 + ], + [ + 1362, + 6266 + ], + [ + 10763, + 11579 + ], + [ + 1510, + 6164 + ], + [ + 5902, + 8353 + ], + [ + 2046, + 6898 + ], + [ + 5361, + 6494 + ], + [ + 454, + 1395 + ], + [ + 2152, + 7324 + ], + [ + 1938, + 8304 + ], + [ + 6673, + 6695 + ], + [ + 4988, + 11581 + ], + [ + 5420, + 7074 + ], + [ + 5304, + 9343 + ], + [ + 3367, + 7592 + ], + [ + 1324, + 10296 + ], + [ + 9132, + 9504 + ], + [ + 4113, + 10600 + ], + [ + 1348, + 8438 + ], + [ + 970, + 2628 + ], + [ + 4421, + 9255 + ], + [ + 3860, + 10908 + ], + [ + 7824, + 9422 + ], + [ + 4739, + 7844 + ], + [ + 1311, + 8556 + ], + [ + 4365, + 9323 + ], + [ + 3181, + 7587 + ], + [ + 2982, + 9629 + ], + [ + 5910, + 11223 + ], + [ + 3630, + 8352 + ], + [ + 1341, + 7617 + ], + [ + 4512, + 8969 + ], + [ + 9455, + 10315 + ], + [ + 680, + 5656 + ], + [ + 1554, + 2248 + ], + [ + 4999, + 8306 + ], + [ + 6766, + 9868 + ], + [ + 3594, + 8291 + ], + [ + 3812, + 9682 + ], + [ + 8258, + 8724 + ], + [ + 6508, + 8297 + ], + [ + 2707, + 10713 + ], + [ + 6449, + 11100 + ], + [ + 1396, + 10333 + ], + [ + 3139, + 3173 + ], + [ + 8, + 8767 + ], + [ + 1529, + 9896 + ], + [ + 4444, + 6367 + ], + [ + 4080, + 5124 + ], + [ + 9272, + 11338 + ], + [ + 5903, + 9247 + ], + [ + 8148, + 9653 + ], + [ + 3480, + 3816 + ], + [ + 1446, + 10046 + ], + [ + 8550, + 11353 + ], + [ + 393, + 1411 + ], + [ + 4226, + 7578 + ], + [ + 1702, + 2095 + ], + [ + 5021, + 5597 + ], + [ + 4131, + 8472 + ], + [ + 4038, + 8281 + ], + [ + 3971, + 7059 + ], + [ + 2952, + 7080 + ], + [ + 3807, + 11566 + ], + [ + 6957, + 7877 + ], + [ + 1067, + 10400 + ], + [ + 700, + 8886 + ], + [ + 6507, + 10300 + ], + [ + 4171, + 9749 + ], + [ + 8688, + 10132 + ], + [ + 7845, + 8689 + ], + [ + 1780, + 6485 + ], + [ + 3542, + 9955 + ], + [ + 7618, + 9464 + ], + [ + 3015, + 7028 + ], + [ + 3643, + 4345 + ], + [ + 4818, + 10499 + ], + [ + 4570, + 10397 + ], + [ + 243, + 1443 + ], + [ + 10075, + 11446 + ], + [ + 1465, + 4380 + ], + [ + 9431, + 11344 + ], + [ + 185, + 684 + ], + [ + 2705, + 3015 + ], + [ + 2975, + 4596 + ], + [ + 3040, + 4991 + ], + [ + 540, + 4066 + ], + [ + 4089, + 10474 + ], + [ + 887, + 1141 + ], + [ + 6958, + 11461 + ], + [ + 1908, + 7582 + ], + [ + 6708, + 10532 + ], + [ + 5407, + 8211 + ], + [ + 7507, + 10922 + ], + [ + 1031, + 3522 + ], + [ + 946, + 11520 + ], + [ + 1851, + 7425 + ], + [ + 822, + 9764 + ], + [ + 1749, + 9400 + ], + [ + 4426, + 10217 + ], + [ + 4680, + 11265 + ], + [ + 3204, + 9909 + ], + [ + 9212, + 10825 + ], + [ + 10404, + 10924 + ], + [ + 7159, + 11343 + ], + [ + 2656, + 5351 + ], + [ + 10617, + 11217 + ], + [ + 4982, + 10849 + ], + [ + 2585, + 6639 + ], + [ + 190, + 3256 + ], + [ + 219, + 8158 + ], + [ + 317, + 5283 + ], + [ + 1394, + 8650 + ], + [ + 6760, + 10291 + ], + [ + 1963, + 11022 + ], + [ + 4234, + 10397 + ], + [ + 6971, + 8259 + ], + [ + 2666, + 9452 + ], + [ + 964, + 6033 + ], + [ + 6833, + 8325 + ], + [ + 7968, + 9388 + ], + [ + 6487, + 7688 + ], + [ + 8238, + 10969 + ], + [ + 3477, + 11357 + ], + [ + 4256, + 11095 + ], + [ + 2661, + 5321 + ], + [ + 2011, + 7656 + ], + [ + 9750, + 10477 + ], + [ + 1419, + 3580 + ], + [ + 1655, + 6331 + ], + [ + 4020, + 11003 + ], + [ + 3552, + 9437 + ], + [ + 1069, + 5453 + ], + [ + 1747, + 9303 + ], + [ + 7882, + 9994 + ], + [ + 2748, + 4135 + ], + [ + 1621, + 7097 + ], + [ + 1363, + 2143 + ], + [ + 4322, + 8308 + ], + [ + 158, + 284 + ], + [ + 1119, + 11582 + ], + [ + 3576, + 7929 + ], + [ + 7584, + 8243 + ], + [ + 4633, + 6857 + ], + [ + 7155, + 10015 + ], + [ + 3819, + 3900 + ], + [ + 209, + 5884 + ], + [ + 3760, + 6703 + ], + [ + 2345, + 9006 + ], + [ + 4566, + 9018 + ], + [ + 5775, + 7586 + ], + [ + 3960, + 6764 + ], + [ + 4159, + 10357 + ], + [ + 2223, + 5044 + ], + [ + 607, + 7061 + ], + [ + 3098, + 4490 + ], + [ + 3528, + 9736 + ], + [ + 1622, + 3134 + ], + [ + 906, + 2964 + ], + [ + 9216, + 9738 + ], + [ + 6948, + 7628 + ], + [ + 5821, + 7180 + ], + [ + 8221, + 8655 + ], + [ + 260, + 6953 + ], + [ + 1430, + 6347 + ], + [ + 1378, + 6157 + ], + [ + 1309, + 8272 + ], + [ + 4519, + 11050 + ], + [ + 1467, + 2442 + ], + [ + 5269, + 10050 + ], + [ + 6607, + 10718 + ], + [ + 1151, + 10315 + ], + [ + 5070, + 5676 + ], + [ + 3885, + 7879 + ], + [ + 6130, + 8285 + ], + [ + 6443, + 6530 + ], + [ + 4904, + 10487 + ], + [ + 7084, + 10498 + ], + [ + 7700, + 8552 + ], + [ + 1974, + 5814 + ], + [ + 6428, + 8881 + ], + [ + 485, + 4196 + ], + [ + 1443, + 6528 + ], + [ + 2064, + 2674 + ], + [ + 5603, + 11400 + ], + [ + 100, + 10397 + ], + [ + 418, + 8986 + ], + [ + 1970, + 9428 + ], + [ + 292, + 10567 + ], + [ + 3795, + 3798 + ], + [ + 2781, + 11333 + ], + [ + 1830, + 6415 + ], + [ + 7647, + 8517 + ], + [ + 3877, + 9465 + ], + [ + 3859, + 8105 + ], + [ + 5215, + 10887 + ], + [ + 3160, + 3408 + ], + [ + 739, + 1056 + ], + [ + 5744, + 7444 + ], + [ + 8691, + 9088 + ], + [ + 2185, + 9393 + ], + [ + 2417, + 2546 + ], + [ + 3623, + 8767 + ], + [ + 37, + 2477 + ], + [ + 1845, + 6292 + ], + [ + 1747, + 3505 + ], + [ + 6755, + 9410 + ], + [ + 915, + 5604 + ], + [ + 601, + 7888 + ], + [ + 4338, + 7177 + ], + [ + 948, + 11379 + ], + [ + 2459, + 4650 + ], + [ + 461, + 11291 + ], + [ + 2059, + 7160 + ], + [ + 1997, + 10446 + ], + [ + 3805, + 10097 + ], + [ + 2078, + 4958 + ], + [ + 568, + 8879 + ], + [ + 4066, + 8182 + ], + [ + 9203, + 9771 + ], + [ + 3478, + 4225 + ], + [ + 3999, + 9589 + ], + [ + 2223, + 8695 + ], + [ + 4105, + 4323 + ], + [ + 7150, + 9508 + ], + [ + 10727, + 11548 + ], + [ + 5118, + 10149 + ], + [ + 9980, + 10567 + ], + [ + 422, + 4516 + ], + [ + 6358, + 8030 + ], + [ + 3815, + 4749 + ], + [ + 1289, + 4101 + ], + [ + 4776, + 9631 + ], + [ + 2880, + 3717 + ], + [ + 2682, + 9394 + ], + [ + 1290, + 1293 + ], + [ + 1377, + 9583 + ], + [ + 5919, + 8333 + ], + [ + 1812, + 3095 + ], + [ + 1934, + 4024 + ], + [ + 1151, + 7550 + ], + [ + 660, + 4280 + ], + [ + 2556, + 3778 + ], + [ + 7721, + 8169 + ], + [ + 2143, + 6083 + ], + [ + 597, + 3177 + ], + [ + 1987, + 11205 + ], + [ + 8745, + 11121 + ], + [ + 7589, + 9181 + ], + [ + 3541, + 10939 + ], + [ + 4969, + 8871 + ], + [ + 153, + 3136 + ], + [ + 5249, + 11140 + ], + [ + 8991, + 11527 + ], + [ + 3069, + 5467 + ], + [ + 2019, + 10339 + ], + [ + 2200, + 2803 + ], + [ + 140, + 1396 + ], + [ + 5986, + 8400 + ], + [ + 5961, + 10787 + ], + [ + 2408, + 6889 + ], + [ + 3600, + 8486 + ], + [ + 3622, + 9965 + ], + [ + 411, + 9214 + ], + [ + 4431, + 5381 + ], + [ + 5014, + 5207 + ], + [ + 10683, + 10821 + ], + [ + 5366, + 9796 + ], + [ + 3711, + 6223 + ], + [ + 7878, + 11512 + ], + [ + 373, + 9861 + ], + [ + 6066, + 10207 + ], + [ + 5331, + 10741 + ], + [ + 350, + 8911 + ], + [ + 3022, + 8630 + ], + [ + 1026, + 11180 + ], + [ + 4197, + 8368 + ], + [ + 2141, + 4451 + ], + [ + 2705, + 6479 + ], + [ + 8742, + 10799 + ], + [ + 3206, + 8158 + ], + [ + 5477, + 6779 + ], + [ + 2335, + 4667 + ], + [ + 3541, + 3718 + ], + [ + 5153, + 10627 + ], + [ + 2238, + 4734 + ], + [ + 294, + 7474 + ], + [ + 182, + 817 + ], + [ + 1639, + 3651 + ], + [ + 2762, + 7363 + ], + [ + 8209, + 10686 + ], + [ + 4646, + 6100 + ], + [ + 3097, + 10093 + ], + [ + 4315, + 10659 + ], + [ + 3164, + 4899 + ], + [ + 573, + 3856 + ], + [ + 3219, + 4606 + ], + [ + 915, + 9255 + ], + [ + 1132, + 1376 + ], + [ + 4831, + 5099 + ], + [ + 2157, + 8717 + ], + [ + 846, + 4954 + ], + [ + 822, + 10195 + ], + [ + 3246, + 9812 + ], + [ + 60, + 1012 + ], + [ + 2038, + 3518 + ], + [ + 6663, + 10439 + ], + [ + 789, + 1387 + ], + [ + 1214, + 7043 + ], + [ + 1682, + 2193 + ], + [ + 3485, + 5664 + ], + [ + 2380, + 7419 + ], + [ + 6707, + 10711 + ], + [ + 10277, + 11580 + ], + [ + 7882, + 8197 + ], + [ + 8472, + 11446 + ], + [ + 5234, + 6620 + ], + [ + 4330, + 7153 + ], + [ + 10154, + 10426 + ], + [ + 2590, + 11578 + ], + [ + 1874, + 5746 + ], + [ + 8209, + 9531 + ], + [ + 3164, + 10160 + ], + [ + 8836, + 9629 + ], + [ + 11103, + 11514 + ], + [ + 1886, + 5756 + ], + [ + 1452, + 3020 + ], + [ + 6704, + 9285 + ], + [ + 4467, + 9494 + ], + [ + 202, + 10463 + ], + [ + 5990, + 7663 + ], + [ + 759, + 11320 + ], + [ + 5833, + 9931 + ], + [ + 2631, + 7014 + ], + [ + 7882, + 10425 + ], + [ + 2443, + 6963 + ], + [ + 5886, + 6559 + ], + [ + 2837, + 11054 + ], + [ + 2506, + 11449 + ], + [ + 634, + 10093 + ], + [ + 7255, + 7294 + ], + [ + 5326, + 5404 + ], + [ + 5978, + 6498 + ], + [ + 7070, + 10897 + ], + [ + 6196, + 7889 + ], + [ + 2177, + 2498 + ], + [ + 3536, + 4797 + ], + [ + 5165, + 7149 + ], + [ + 1832, + 11131 + ], + [ + 7861, + 11426 + ], + [ + 7129, + 11477 + ], + [ + 8213, + 9599 + ], + [ + 3082, + 10454 + ], + [ + 9121, + 11437 + ], + [ + 5028, + 10069 + ], + [ + 2481, + 8544 + ], + [ + 6984, + 8120 + ], + [ + 3379, + 4032 + ], + [ + 8826, + 10765 + ], + [ + 550, + 9991 + ], + [ + 10003, + 11330 + ], + [ + 9261, + 10693 + ], + [ + 5868, + 8208 + ], + [ + 4653, + 4907 + ], + [ + 9169, + 11104 + ], + [ + 2189, + 5891 + ], + [ + 2808, + 8380 + ], + [ + 9284, + 9364 + ], + [ + 4552, + 10490 + ], + [ + 2349, + 7277 + ], + [ + 4491, + 10214 + ], + [ + 3218, + 3525 + ], + [ + 6263, + 7956 + ], + [ + 5080, + 7576 + ], + [ + 1985, + 4556 + ], + [ + 5479, + 7093 + ], + [ + 6981, + 7418 + ], + [ + 658, + 1014 + ], + [ + 5819, + 11298 + ], + [ + 766, + 7148 + ], + [ + 1203, + 3739 + ], + [ + 10010, + 10565 + ], + [ + 7178, + 7181 + ], + [ + 3999, + 8597 + ], + [ + 6984, + 7315 + ], + [ + 5458, + 11477 + ], + [ + 329, + 1081 + ], + [ + 1452, + 11209 + ], + [ + 1416, + 5136 + ], + [ + 9533, + 11515 + ], + [ + 7045, + 7187 + ], + [ + 1437, + 2980 + ], + [ + 2717, + 4424 + ], + [ + 6486, + 8886 + ], + [ + 103, + 1677 + ], + [ + 3516, + 4814 + ], + [ + 35, + 984 + ], + [ + 4104, + 5738 + ], + [ + 1609, + 10819 + ], + [ + 1464, + 8186 + ], + [ + 812, + 4059 + ], + [ + 31, + 3494 + ], + [ + 8396, + 9975 + ], + [ + 7496, + 7998 + ], + [ + 3200, + 4019 + ], + [ + 1897, + 5035 + ], + [ + 3798, + 4877 + ], + [ + 2508, + 2745 + ], + [ + 3328, + 8900 + ], + [ + 2423, + 10743 + ], + [ + 6406, + 10061 + ], + [ + 140, + 3437 + ], + [ + 57, + 8098 + ], + [ + 5129, + 9292 + ], + [ + 3410, + 11184 + ], + [ + 3066, + 4204 + ], + [ + 1885, + 6903 + ], + [ + 2131, + 10342 + ], + [ + 10795, + 11198 + ], + [ + 1583, + 5784 + ], + [ + 3541, + 6914 + ], + [ + 2297, + 5127 + ], + [ + 4064, + 6689 + ], + [ + 2296, + 11318 + ], + [ + 4242, + 10933 + ], + [ + 2098, + 11333 + ], + [ + 4651, + 9640 + ], + [ + 1868, + 5394 + ], + [ + 847, + 5342 + ], + [ + 7262, + 8302 + ], + [ + 3735, + 9789 + ], + [ + 3761, + 4594 + ], + [ + 3358, + 9839 + ], + [ + 5096, + 6499 + ], + [ + 7495, + 10001 + ], + [ + 3414, + 3732 + ], + [ + 251, + 7159 + ], + [ + 2400, + 4851 + ], + [ + 334, + 2498 + ], + [ + 2773, + 10317 + ], + [ + 6283, + 11135 + ], + [ + 4168, + 5857 + ], + [ + 978, + 10147 + ], + [ + 2297, + 7355 + ], + [ + 4308, + 5113 + ], + [ + 1661, + 6390 + ], + [ + 1294, + 11292 + ], + [ + 6373, + 10247 + ], + [ + 4876, + 8014 + ], + [ + 3527, + 7931 + ], + [ + 3724, + 8445 + ], + [ + 3287, + 8444 + ], + [ + 670, + 6180 + ], + [ + 6671, + 10089 + ], + [ + 1227, + 7037 + ], + [ + 9506, + 11492 + ], + [ + 2617, + 8649 + ], + [ + 4141, + 6289 + ], + [ + 5660, + 10755 + ], + [ + 1532, + 4640 + ], + [ + 6576, + 10202 + ], + [ + 2342, + 3691 + ], + [ + 5351, + 6213 + ], + [ + 3792, + 5354 + ], + [ + 6912, + 9370 + ], + [ + 1242, + 7695 + ], + [ + 6470, + 10156 + ], + [ + 1420, + 5523 + ], + [ + 4343, + 9779 + ], + [ + 4102, + 10848 + ], + [ + 2827, + 3332 + ], + [ + 1273, + 6227 + ], + [ + 919, + 4948 + ], + [ + 6046, + 6603 + ], + [ + 7890, + 10075 + ], + [ + 5328, + 9770 + ], + [ + 1966, + 3188 + ], + [ + 565, + 7833 + ], + [ + 1028, + 2639 + ], + [ + 475, + 11323 + ], + [ + 3894, + 5607 + ], + [ + 10683, + 11252 + ], + [ + 3212, + 11437 + ], + [ + 3522, + 3749 + ], + [ + 7410, + 9623 + ], + [ + 1782, + 4010 + ], + [ + 466, + 657 + ], + [ + 7069, + 10084 + ], + [ + 7160, + 9448 + ], + [ + 3853, + 8989 + ], + [ + 7061, + 8688 + ], + [ + 5965, + 6799 + ], + [ + 958, + 3748 + ], + [ + 712, + 1063 + ], + [ + 1018, + 4553 + ], + [ + 4756, + 7450 + ], + [ + 564, + 10210 + ], + [ + 6407, + 11281 + ], + [ + 5684, + 10694 + ], + [ + 3905, + 5365 + ], + [ + 9381, + 11338 + ], + [ + 3694, + 8528 + ], + [ + 1078, + 4954 + ], + [ + 5928, + 8021 + ], + [ + 3208, + 4124 + ], + [ + 5582, + 7384 + ], + [ + 721, + 9820 + ], + [ + 7039, + 10218 + ], + [ + 2462, + 5997 + ], + [ + 10689, + 11016 + ], + [ + 379, + 10056 + ], + [ + 6726, + 8940 + ], + [ + 224, + 6735 + ], + [ + 6135, + 7718 + ], + [ + 944, + 2860 + ], + [ + 5049, + 7271 + ], + [ + 8024, + 10963 + ], + [ + 9302, + 11580 + ], + [ + 6719, + 11152 + ], + [ + 2951, + 9544 + ], + [ + 6657, + 10274 + ], + [ + 1332, + 1464 + ], + [ + 4793, + 6527 + ], + [ + 4915, + 7456 + ], + [ + 3793, + 4346 + ], + [ + 7251, + 11390 + ], + [ + 8299, + 9855 + ], + [ + 112, + 7618 + ], + [ + 8121, + 11246 + ], + [ + 831, + 7305 + ], + [ + 1480, + 5499 + ], + [ + 1051, + 3107 + ], + [ + 6460, + 9356 + ], + [ + 3998, + 11167 + ], + [ + 326, + 5857 + ], + [ + 3039, + 5577 + ], + [ + 3006, + 9601 + ], + [ + 1167, + 4221 + ], + [ + 2655, + 8620 + ], + [ + 8886, + 9773 + ], + [ + 6914, + 10465 + ], + [ + 6234, + 10706 + ], + [ + 1820, + 8169 + ], + [ + 2679, + 3729 + ], + [ + 6080, + 10239 + ], + [ + 4246, + 5203 + ], + [ + 817, + 3061 + ], + [ + 5643, + 7232 + ], + [ + 2650, + 8626 + ], + [ + 7316, + 11384 + ], + [ + 2490, + 4207 + ], + [ + 10029, + 11104 + ], + [ + 7345, + 9870 + ], + [ + 6506, + 9300 + ], + [ + 6590, + 7493 + ], + [ + 1115, + 9292 + ], + [ + 2861, + 5813 + ], + [ + 2768, + 9786 + ], + [ + 4158, + 10644 + ], + [ + 10424, + 10852 + ], + [ + 10517, + 11043 + ], + [ + 2573, + 8564 + ], + [ + 2509, + 4607 + ], + [ + 2607, + 5896 + ], + [ + 3362, + 6738 + ], + [ + 2001, + 10058 + ], + [ + 3196, + 8920 + ], + [ + 10386, + 11499 + ], + [ + 949, + 8441 + ], + [ + 4164, + 11563 + ], + [ + 2592, + 3329 + ], + [ + 3619, + 7333 + ], + [ + 1501, + 8954 + ], + [ + 1318, + 9247 + ], + [ + 9356, + 11361 + ], + [ + 4621, + 6554 + ], + [ + 6360, + 8320 + ], + [ + 5018, + 10162 + ], + [ + 6040, + 6652 + ], + [ + 2619, + 11541 + ], + [ + 64, + 3739 + ], + [ + 528, + 8569 + ], + [ + 414, + 7501 + ], + [ + 3514, + 10141 + ], + [ + 4957, + 9105 + ], + [ + 5387, + 7935 + ], + [ + 6316, + 9152 + ], + [ + 4414, + 11337 + ], + [ + 4075, + 4701 + ], + [ + 8299, + 11278 + ], + [ + 6748, + 8028 + ], + [ + 420, + 526 + ], + [ + 2285, + 5629 + ], + [ + 4218, + 4228 + ], + [ + 5095, + 10917 + ], + [ + 1826, + 10942 + ], + [ + 6859, + 8798 + ], + [ + 704, + 10084 + ], + [ + 5439, + 8475 + ], + [ + 1762, + 9237 + ], + [ + 5558, + 6477 + ], + [ + 2345, + 2647 + ], + [ + 479, + 10905 + ], + [ + 2719, + 4551 + ], + [ + 2753, + 7545 + ], + [ + 10156, + 11171 + ], + [ + 502, + 9576 + ], + [ + 1120, + 2041 + ], + [ + 7102, + 8152 + ], + [ + 7702, + 10591 + ], + [ + 68, + 6840 + ], + [ + 4894, + 10230 + ], + [ + 1522, + 9376 + ], + [ + 1274, + 11526 + ], + [ + 8337, + 9826 + ], + [ + 9462, + 10201 + ], + [ + 3987, + 4830 + ], + [ + 5945, + 5960 + ], + [ + 1991, + 8134 + ], + [ + 2744, + 5897 + ], + [ + 3014, + 7478 + ], + [ + 743, + 2441 + ], + [ + 3850, + 7750 + ], + [ + 3571, + 9089 + ], + [ + 7924, + 10596 + ], + [ + 3289, + 3741 + ], + [ + 7003, + 8496 + ], + [ + 4071, + 7160 + ], + [ + 420, + 6137 + ], + [ + 3663, + 4891 + ], + [ + 241, + 4674 + ], + [ + 7023, + 9148 + ], + [ + 803, + 10039 + ], + [ + 2916, + 8074 + ], + [ + 1639, + 10311 + ], + [ + 6088, + 8116 + ], + [ + 3748, + 4440 + ], + [ + 3319, + 8464 + ], + [ + 2543, + 2581 + ], + [ + 1235, + 8915 + ], + [ + 7675, + 10242 + ], + [ + 1450, + 10789 + ], + [ + 5988, + 7885 + ], + [ + 1005, + 9392 + ], + [ + 1385, + 9613 + ], + [ + 9320, + 10094 + ], + [ + 4621, + 4944 + ], + [ + 192, + 10043 + ], + [ + 2876, + 4861 + ], + [ + 249, + 4161 + ], + [ + 3647, + 4738 + ], + [ + 4273, + 7644 + ], + [ + 6100, + 11509 + ], + [ + 4455, + 9378 + ], + [ + 742, + 1061 + ], + [ + 2400, + 8315 + ], + [ + 719, + 10691 + ], + [ + 1151, + 6184 + ], + [ + 3143, + 6144 + ], + [ + 4175, + 10492 + ], + [ + 1923, + 2499 + ], + [ + 10742, + 10840 + ], + [ + 3362, + 10389 + ], + [ + 5315, + 11175 + ], + [ + 5103, + 6566 + ], + [ + 2367, + 9306 + ], + [ + 4757, + 5929 + ], + [ + 968, + 10614 + ], + [ + 5189, + 6340 + ], + [ + 7649, + 7866 + ], + [ + 4975, + 11484 + ], + [ + 4003, + 7941 + ], + [ + 5434, + 9554 + ], + [ + 1485, + 5656 + ], + [ + 6373, + 7295 + ], + [ + 2512, + 3244 + ], + [ + 1603, + 3433 + ], + [ + 4748, + 5816 + ], + [ + 990, + 4896 + ], + [ + 8888, + 10413 + ], + [ + 8384, + 8436 + ], + [ + 6918, + 7768 + ], + [ + 483, + 6785 + ], + [ + 1787, + 2207 + ], + [ + 4340, + 4678 + ], + [ + 4159, + 8804 + ], + [ + 3146, + 8670 + ], + [ + 606, + 4906 + ], + [ + 1941, + 6057 + ], + [ + 157, + 6800 + ], + [ + 5511, + 7680 + ], + [ + 3712, + 10744 + ], + [ + 3805, + 6771 + ], + [ + 5037, + 5545 + ], + [ + 1432, + 7873 + ], + [ + 1220, + 3264 + ], + [ + 2529, + 10364 + ], + [ + 5172, + 5181 + ], + [ + 4857, + 6109 + ], + [ + 414, + 5086 + ], + [ + 930, + 10106 + ], + [ + 7964, + 8385 + ], + [ + 922, + 2294 + ], + [ + 3700, + 9579 + ], + [ + 519, + 5287 + ], + [ + 4557, + 8476 + ], + [ + 4844, + 7752 + ], + [ + 701, + 7021 + ], + [ + 4818, + 6531 + ], + [ + 5007, + 9436 + ], + [ + 1292, + 10872 + ], + [ + 2016, + 10903 + ], + [ + 175, + 4696 + ], + [ + 1295, + 4727 + ], + [ + 1097, + 3988 + ], + [ + 629, + 2422 + ], + [ + 1260, + 9055 + ], + [ + 73, + 1386 + ], + [ + 3892, + 5211 + ], + [ + 2149, + 5955 + ], + [ + 1691, + 11493 + ], + [ + 1228, + 3101 + ], + [ + 2811, + 5108 + ], + [ + 2814, + 8789 + ], + [ + 3769, + 10473 + ], + [ + 1503, + 5780 + ], + [ + 3916, + 6736 + ], + [ + 461, + 10543 + ], + [ + 5796, + 6455 + ], + [ + 7038, + 11579 + ], + [ + 1271, + 3178 + ], + [ + 6747, + 11403 + ], + [ + 2203, + 9574 + ], + [ + 5821, + 8205 + ], + [ + 4749, + 10874 + ], + [ + 4348, + 10530 + ], + [ + 2606, + 3548 + ], + [ + 83, + 7335 + ], + [ + 2323, + 5145 + ], + [ + 1483, + 3219 + ], + [ + 1319, + 8480 + ], + [ + 4498, + 9693 + ], + [ + 4400, + 6906 + ], + [ + 4119, + 10828 + ], + [ + 7575, + 10629 + ], + [ + 6456, + 7790 + ], + [ + 1566, + 5324 + ], + [ + 5234, + 7482 + ], + [ + 7042, + 11297 + ], + [ + 1504, + 7829 + ], + [ + 7836, + 11343 + ], + [ + 2053, + 8825 + ], + [ + 5573, + 10331 + ], + [ + 243, + 8347 + ], + [ + 934, + 5232 + ], + [ + 1371, + 5987 + ], + [ + 2829, + 5259 + ], + [ + 6595, + 10204 + ], + [ + 1550, + 10833 + ], + [ + 146, + 7633 + ], + [ + 10457, + 11447 + ], + [ + 705, + 9317 + ], + [ + 1163, + 3779 + ], + [ + 1180, + 5638 + ], + [ + 2413, + 3102 + ], + [ + 4406, + 5916 + ], + [ + 8938, + 10394 + ], + [ + 4182, + 11126 + ], + [ + 3779, + 9201 + ], + [ + 5057, + 10572 + ], + [ + 190, + 3394 + ], + [ + 1905, + 11182 + ], + [ + 6702, + 7041 + ], + [ + 2971, + 7944 + ], + [ + 2501, + 5551 + ], + [ + 4235, + 6973 + ], + [ + 3581, + 6183 + ], + [ + 3591, + 6871 + ], + [ + 2710, + 9108 + ], + [ + 3959, + 4823 + ], + [ + 3016, + 10346 + ], + [ + 3895, + 7282 + ], + [ + 2802, + 5664 + ], + [ + 4832, + 8360 + ], + [ + 785, + 7337 + ], + [ + 6778, + 7975 + ], + [ + 8521, + 11395 + ], + [ + 7899, + 8608 + ], + [ + 2171, + 5797 + ], + [ + 2365, + 6040 + ], + [ + 3948, + 8047 + ], + [ + 204, + 6833 + ], + [ + 714, + 5592 + ], + [ + 9353, + 11144 + ], + [ + 5557, + 7488 + ], + [ + 6279, + 10856 + ], + [ + 6078, + 6436 + ], + [ + 5162, + 10342 + ], + [ + 4310, + 5403 + ], + [ + 3219, + 10274 + ], + [ + 4704, + 8740 + ], + [ + 3496, + 6610 + ], + [ + 1257, + 5992 + ], + [ + 9598, + 11325 + ], + [ + 2621, + 6383 + ], + [ + 8288, + 11170 + ], + [ + 217, + 1002 + ], + [ + 5428, + 5738 + ], + [ + 10655, + 11007 + ], + [ + 5863, + 11328 + ], + [ + 8067, + 9481 + ], + [ + 7170, + 11185 + ], + [ + 5539, + 6508 + ], + [ + 3514, + 4156 + ], + [ + 2990, + 10572 + ], + [ + 750, + 4848 + ], + [ + 713, + 11382 + ], + [ + 4789, + 10891 + ], + [ + 4440, + 10737 + ], + [ + 9529, + 9626 + ], + [ + 5463, + 10081 + ], + [ + 7925, + 9024 + ], + [ + 1882, + 4889 + ], + [ + 5192, + 9029 + ], + [ + 3535, + 4629 + ], + [ + 4218, + 4659 + ], + [ + 1293, + 4494 + ], + [ + 7234, + 8352 + ], + [ + 1358, + 9053 + ], + [ + 6588, + 7423 + ], + [ + 459, + 10684 + ], + [ + 984, + 6368 + ], + [ + 1856, + 7051 + ], + [ + 1935, + 4900 + ], + [ + 5928, + 9070 + ], + [ + 6583, + 10462 + ], + [ + 2727, + 9007 + ], + [ + 8073, + 9272 + ], + [ + 5053, + 8089 + ], + [ + 4148, + 9932 + ], + [ + 1536, + 3848 + ], + [ + 1102, + 7528 + ], + [ + 37, + 7958 + ], + [ + 4995, + 8084 + ], + [ + 389, + 5377 + ], + [ + 3770, + 10511 + ], + [ + 4613, + 5538 + ], + [ + 5136, + 6811 + ], + [ + 4699, + 10974 + ], + [ + 215, + 9950 + ], + [ + 2271, + 7451 + ], + [ + 9996, + 10566 + ], + [ + 4834, + 10610 + ], + [ + 6410, + 10692 + ], + [ + 7124, + 10035 + ], + [ + 9457, + 10288 + ], + [ + 5922, + 11103 + ], + [ + 685, + 5146 + ], + [ + 57, + 5577 + ], + [ + 226, + 10459 + ], + [ + 58, + 2015 + ], + [ + 4077, + 5154 + ], + [ + 1556, + 5604 + ], + [ + 2509, + 6461 + ], + [ + 8828, + 9713 + ], + [ + 9260, + 10124 + ], + [ + 6216, + 7793 + ], + [ + 5431, + 10492 + ], + [ + 1479, + 6323 + ], + [ + 1420, + 4962 + ], + [ + 2750, + 6523 + ], + [ + 4558, + 10338 + ], + [ + 5711, + 6345 + ], + [ + 5158, + 8613 + ], + [ + 8725, + 9965 + ], + [ + 43, + 7749 + ], + [ + 1753, + 4613 + ], + [ + 10500, + 11388 + ], + [ + 1916, + 6297 + ], + [ + 7704, + 9913 + ], + [ + 1880, + 4388 + ], + [ + 9316, + 9652 + ], + [ + 1224, + 5023 + ], + [ + 8445, + 10325 + ], + [ + 4278, + 5036 + ], + [ + 984, + 8946 + ], + [ + 728, + 4819 + ], + [ + 6793, + 7023 + ], + [ + 4618, + 8110 + ], + [ + 878, + 2134 + ], + [ + 136, + 743 + ], + [ + 3520, + 5394 + ], + [ + 8573, + 9544 + ], + [ + 233, + 10475 + ], + [ + 686, + 5347 + ], + [ + 2714, + 7216 + ], + [ + 8400, + 9801 + ], + [ + 1994, + 8058 + ], + [ + 5166, + 8100 + ], + [ + 715, + 7216 + ], + [ + 159, + 5049 + ], + [ + 9649, + 9653 + ], + [ + 4162, + 9183 + ], + [ + 1550, + 7263 + ], + [ + 8623, + 9257 + ], + [ + 10104, + 10233 + ], + [ + 240, + 7108 + ], + [ + 10895, + 11486 + ], + [ + 458, + 8499 + ], + [ + 4720, + 4980 + ], + [ + 7739, + 8190 + ], + [ + 3040, + 5292 + ], + [ + 4341, + 8367 + ], + [ + 493, + 10937 + ], + [ + 3222, + 11190 + ], + [ + 211, + 5589 + ], + [ + 3602, + 4995 + ], + [ + 8118, + 10438 + ], + [ + 1074, + 7684 + ], + [ + 5024, + 11026 + ], + [ + 695, + 11071 + ], + [ + 7079, + 9056 + ], + [ + 7015, + 11515 + ], + [ + 702, + 5045 + ], + [ + 3744, + 10713 + ], + [ + 6615, + 7609 + ], + [ + 4077, + 9610 + ], + [ + 2272, + 5312 + ], + [ + 2365, + 5503 + ], + [ + 5508, + 7059 + ], + [ + 4858, + 7142 + ], + [ + 496, + 7047 + ], + [ + 1303, + 2417 + ], + [ + 1640, + 5220 + ], + [ + 2204, + 7248 + ], + [ + 5652, + 7188 + ], + [ + 3004, + 5611 + ], + [ + 6646, + 8800 + ], + [ + 4689, + 11278 + ], + [ + 9202, + 10788 + ], + [ + 1287, + 10959 + ], + [ + 1237, + 5180 + ], + [ + 7080, + 8503 + ], + [ + 912, + 5420 + ], + [ + 7892, + 10633 + ], + [ + 263, + 810 + ], + [ + 5221, + 11516 + ], + [ + 176, + 7981 + ], + [ + 2934, + 7474 + ], + [ + 1201, + 2490 + ], + [ + 5183, + 7999 + ], + [ + 2936, + 7520 + ], + [ + 2523, + 9071 + ], + [ + 7261, + 7733 + ], + [ + 6323, + 9436 + ], + [ + 8377, + 10274 + ], + [ + 7692, + 10171 + ], + [ + 4144, + 10781 + ], + [ + 1941, + 9066 + ], + [ + 85, + 1827 + ], + [ + 874, + 6417 + ], + [ + 5299, + 6080 + ], + [ + 3448, + 5601 + ], + [ + 657, + 1464 + ], + [ + 6006, + 8416 + ], + [ + 3071, + 3399 + ], + [ + 9612, + 11194 + ], + [ + 829, + 2510 + ], + [ + 2831, + 9574 + ], + [ + 3022, + 6890 + ], + [ + 2358, + 7664 + ], + [ + 1298, + 7684 + ], + [ + 3421, + 10571 + ], + [ + 4575, + 10186 + ], + [ + 1552, + 8732 + ], + [ + 3577, + 11084 + ], + [ + 1201, + 1335 + ], + [ + 8518, + 9351 + ], + [ + 244, + 2988 + ], + [ + 4468, + 4647 + ], + [ + 765, + 1936 + ], + [ + 556, + 10430 + ], + [ + 7371, + 10880 + ], + [ + 802, + 7453 + ], + [ + 3104, + 5387 + ], + [ + 891, + 10154 + ], + [ + 550, + 9861 + ], + [ + 4505, + 11295 + ], + [ + 3416, + 6413 + ], + [ + 6668, + 8693 + ], + [ + 3782, + 8456 + ], + [ + 5466, + 10515 + ], + [ + 2037, + 8373 + ], + [ + 3897, + 9345 + ], + [ + 3733, + 10442 + ], + [ + 2222, + 10755 + ], + [ + 99, + 5616 + ], + [ + 10792, + 11252 + ], + [ + 1523, + 6058 + ], + [ + 2043, + 2152 + ], + [ + 3259, + 8307 + ], + [ + 3352, + 4334 + ], + [ + 6125, + 11275 + ], + [ + 4633, + 9386 + ], + [ + 2047, + 8687 + ], + [ + 9364, + 10287 + ], + [ + 1833, + 10421 + ], + [ + 1391, + 2906 + ], + [ + 3290, + 6839 + ], + [ + 769, + 7289 + ], + [ + 3449, + 4617 + ], + [ + 3289, + 7368 + ], + [ + 3196, + 10587 + ], + [ + 9507, + 9814 + ], + [ + 6160, + 10680 + ], + [ + 831, + 11550 + ], + [ + 1757, + 5299 + ], + [ + 7641, + 8623 + ], + [ + 8128, + 8741 + ], + [ + 1254, + 10340 + ], + [ + 2035, + 10905 + ], + [ + 690, + 1896 + ], + [ + 9005, + 9014 + ], + [ + 502, + 2599 + ], + [ + 8786, + 9650 + ], + [ + 404, + 2064 + ], + [ + 2864, + 3590 + ], + [ + 3712, + 5377 + ], + [ + 5740, + 11410 + ], + [ + 2091, + 7804 + ], + [ + 4085, + 8591 + ], + [ + 7997, + 8443 + ], + [ + 722, + 10452 + ], + [ + 8093, + 8905 + ], + [ + 7344, + 11261 + ], + [ + 4789, + 5711 + ], + [ + 892, + 2003 + ], + [ + 4231, + 11045 + ], + [ + 2648, + 5628 + ], + [ + 7493, + 8351 + ], + [ + 2916, + 4130 + ], + [ + 340, + 4873 + ], + [ + 1422, + 7830 + ], + [ + 3414, + 7790 + ], + [ + 3783, + 9350 + ], + [ + 5118, + 11255 + ], + [ + 2790, + 4930 + ], + [ + 4383, + 11035 + ], + [ + 1632, + 2163 + ], + [ + 6862, + 11113 + ], + [ + 9225, + 9296 + ], + [ + 4901, + 9685 + ], + [ + 4053, + 7898 + ], + [ + 782, + 7096 + ], + [ + 4897, + 5779 + ], + [ + 4106, + 5280 + ], + [ + 6861, + 10861 + ], + [ + 975, + 10874 + ], + [ + 101, + 7866 + ], + [ + 1658, + 3734 + ], + [ + 3960, + 8838 + ], + [ + 8786, + 8845 + ], + [ + 3457, + 10469 + ], + [ + 3832, + 9592 + ], + [ + 7070, + 8002 + ], + [ + 3419, + 6979 + ], + [ + 57, + 6813 + ], + [ + 2052, + 10454 + ], + [ + 7248, + 9994 + ], + [ + 1842, + 3262 + ], + [ + 6841, + 11333 + ], + [ + 807, + 9196 + ], + [ + 494, + 4535 + ], + [ + 1797, + 6902 + ], + [ + 1071, + 6044 + ], + [ + 6339, + 7150 + ], + [ + 2051, + 10202 + ], + [ + 931, + 3755 + ], + [ + 55, + 10500 + ], + [ + 1330, + 7436 + ], + [ + 1196, + 4992 + ], + [ + 3940, + 6277 + ], + [ + 265, + 1450 + ], + [ + 1259, + 3062 + ], + [ + 326, + 5109 + ], + [ + 7488, + 9050 + ], + [ + 3531, + 5291 + ], + [ + 5241, + 8571 + ], + [ + 5762, + 7519 + ], + [ + 8036, + 10575 + ], + [ + 1969, + 7544 + ], + [ + 8810, + 9969 + ], + [ + 1692, + 2540 + ], + [ + 4362, + 8602 + ], + [ + 2115, + 7369 + ], + [ + 3520, + 10013 + ], + [ + 3026, + 7226 + ], + [ + 5765, + 8167 + ], + [ + 1488, + 4238 + ], + [ + 3528, + 7622 + ], + [ + 4015, + 7740 + ], + [ + 436, + 9037 + ], + [ + 1489, + 7846 + ], + [ + 687, + 6404 + ], + [ + 498, + 3499 + ], + [ + 6103, + 8162 + ], + [ + 5036, + 7011 + ], + [ + 683, + 2498 + ], + [ + 4387, + 6565 + ], + [ + 1933, + 8237 + ], + [ + 3726, + 4604 + ], + [ + 7620, + 8014 + ], + [ + 9856, + 10586 + ], + [ + 1981, + 7904 + ], + [ + 4811, + 11215 + ], + [ + 4467, + 11405 + ], + [ + 8866, + 9847 + ], + [ + 5714, + 10457 + ], + [ + 9009, + 10155 + ], + [ + 2350, + 9464 + ], + [ + 5748, + 10041 + ], + [ + 4972, + 9820 + ], + [ + 607, + 10208 + ], + [ + 990, + 9946 + ], + [ + 8540, + 10616 + ], + [ + 7917, + 11391 + ], + [ + 4240, + 9147 + ], + [ + 10690, + 11162 + ], + [ + 3591, + 10953 + ], + [ + 3799, + 5240 + ], + [ + 951, + 6985 + ], + [ + 9005, + 9632 + ], + [ + 2593, + 3156 + ], + [ + 1459, + 4947 + ], + [ + 2334, + 10809 + ], + [ + 4175, + 11354 + ], + [ + 5546, + 7998 + ], + [ + 7726, + 8009 + ], + [ + 6501, + 10436 + ], + [ + 5043, + 7377 + ], + [ + 6970, + 9194 + ], + [ + 3391, + 10491 + ], + [ + 5848, + 6084 + ], + [ + 5199, + 7890 + ], + [ + 5068, + 9127 + ], + [ + 6499, + 10740 + ], + [ + 10158, + 10900 + ], + [ + 5488, + 10652 + ], + [ + 3972, + 6457 + ], + [ + 835, + 1683 + ], + [ + 8168, + 10986 + ], + [ + 849, + 5553 + ], + [ + 148, + 11333 + ], + [ + 5965, + 7019 + ], + [ + 3682, + 6883 + ], + [ + 2627, + 7247 + ], + [ + 356, + 5620 + ], + [ + 3680, + 10220 + ], + [ + 3556, + 7710 + ], + [ + 734, + 11430 + ], + [ + 3304, + 10872 + ], + [ + 4236, + 10852 + ], + [ + 7006, + 7696 + ], + [ + 471, + 9515 + ], + [ + 2737, + 8546 + ], + [ + 2551, + 5158 + ], + [ + 1253, + 6518 + ], + [ + 3987, + 7115 + ], + [ + 436, + 4044 + ], + [ + 840, + 4659 + ], + [ + 7376, + 9858 + ], + [ + 4982, + 5165 + ], + [ + 5536, + 6505 + ], + [ + 2143, + 4774 + ], + [ + 2242, + 11169 + ], + [ + 3515, + 5026 + ], + [ + 1519, + 7576 + ], + [ + 1111, + 6061 + ], + [ + 1804, + 4527 + ], + [ + 1991, + 10769 + ], + [ + 1766, + 1791 + ], + [ + 3559, + 4574 + ], + [ + 4725, + 11366 + ], + [ + 611, + 9121 + ], + [ + 5246, + 10314 + ], + [ + 7150, + 10427 + ], + [ + 6338, + 8297 + ], + [ + 9159, + 11522 + ], + [ + 7739, + 11199 + ], + [ + 12, + 7257 + ], + [ + 1419, + 10728 + ], + [ + 6044, + 11233 + ], + [ + 2012, + 11242 + ], + [ + 665, + 6324 + ], + [ + 2714, + 9070 + ], + [ + 408, + 10640 + ], + [ + 2223, + 9964 + ], + [ + 1406, + 3326 + ], + [ + 1694, + 9620 + ], + [ + 8965, + 10875 + ], + [ + 4574, + 10042 + ], + [ + 7507, + 7816 + ], + [ + 7598, + 7934 + ], + [ + 5879, + 9072 + ], + [ + 3701, + 4226 + ], + [ + 249, + 6796 + ], + [ + 4051, + 7234 + ], + [ + 6157, + 8262 + ], + [ + 1556, + 6653 + ], + [ + 1148, + 11554 + ], + [ + 3206, + 3466 + ], + [ + 9635, + 10296 + ], + [ + 732, + 6391 + ], + [ + 799, + 1197 + ], + [ + 5721, + 8082 + ], + [ + 2006, + 3856 + ], + [ + 3318, + 10473 + ], + [ + 6709, + 9879 + ], + [ + 8949, + 9187 + ], + [ + 769, + 8875 + ], + [ + 253, + 9547 + ], + [ + 10091, + 10697 + ], + [ + 9755, + 11502 + ], + [ + 8132, + 10096 + ], + [ + 3020, + 9503 + ], + [ + 6263, + 8257 + ], + [ + 5989, + 9940 + ], + [ + 4184, + 9052 + ], + [ + 4681, + 9858 + ], + [ + 6324, + 9664 + ], + [ + 1959, + 5888 + ], + [ + 6322, + 8837 + ], + [ + 7196, + 9593 + ], + [ + 9219, + 11118 + ], + [ + 7595, + 9864 + ], + [ + 8369, + 8504 + ], + [ + 7180, + 10588 + ], + [ + 1490, + 4097 + ], + [ + 2398, + 10099 + ], + [ + 10195, + 10646 + ], + [ + 9768, + 11333 + ], + [ + 272, + 6914 + ], + [ + 430, + 8254 + ], + [ + 513, + 3593 + ], + [ + 2109, + 9215 + ], + [ + 8140, + 10337 + ], + [ + 5435, + 8226 + ], + [ + 7890, + 9408 + ], + [ + 261, + 6001 + ], + [ + 1582, + 4036 + ], + [ + 537, + 5118 + ], + [ + 8725, + 10209 + ], + [ + 1603, + 8296 + ], + [ + 1632, + 6782 + ], + [ + 6052, + 10265 + ], + [ + 290, + 1454 + ], + [ + 1232, + 9292 + ], + [ + 917, + 1552 + ], + [ + 9067, + 10323 + ], + [ + 9280, + 11370 + ], + [ + 7015, + 9531 + ], + [ + 3746, + 5392 + ], + [ + 4859, + 7662 + ], + [ + 6196, + 6230 + ], + [ + 2311, + 4037 + ], + [ + 3983, + 10997 + ], + [ + 3522, + 9848 + ], + [ + 244, + 7875 + ], + [ + 1405, + 1491 + ], + [ + 1577, + 2537 + ], + [ + 995, + 9729 + ], + [ + 2425, + 4324 + ], + [ + 675, + 3897 + ], + [ + 685, + 4585 + ], + [ + 5905, + 8683 + ], + [ + 9267, + 9603 + ], + [ + 4974, + 5141 + ], + [ + 5507, + 5604 + ], + [ + 7716, + 10517 + ], + [ + 5785, + 11210 + ], + [ + 7901, + 9516 + ], + [ + 1115, + 1136 + ], + [ + 3405, + 11141 + ], + [ + 9077, + 9856 + ], + [ + 6902, + 10943 + ], + [ + 3874, + 9899 + ], + [ + 1598, + 3764 + ], + [ + 4259, + 9710 + ], + [ + 3100, + 4089 + ], + [ + 5246, + 7899 + ], + [ + 8485, + 9163 + ], + [ + 3597, + 8278 + ], + [ + 1138, + 8852 + ], + [ + 1482, + 9416 + ], + [ + 1348, + 6218 + ], + [ + 453, + 8749 + ], + [ + 4992, + 10234 + ], + [ + 1224, + 10878 + ], + [ + 3344, + 3668 + ], + [ + 238, + 6875 + ], + [ + 35, + 6546 + ], + [ + 2631, + 7933 + ], + [ + 3023, + 10443 + ], + [ + 4045, + 7687 + ], + [ + 4244, + 9028 + ], + [ + 8628, + 8690 + ], + [ + 502, + 2225 + ], + [ + 1623, + 11526 + ], + [ + 4832, + 5034 + ], + [ + 2831, + 7240 + ], + [ + 1411, + 7671 + ], + [ + 1525, + 2323 + ], + [ + 1098, + 3010 + ], + [ + 3143, + 6014 + ], + [ + 1871, + 8595 + ], + [ + 273, + 5556 + ], + [ + 2298, + 7908 + ], + [ + 687, + 11023 + ], + [ + 4111, + 6405 + ], + [ + 2552, + 4792 + ], + [ + 5076, + 8777 + ], + [ + 3822, + 6302 + ], + [ + 243, + 7599 + ], + [ + 1642, + 6291 + ], + [ + 4699, + 6575 + ], + [ + 1017, + 6239 + ], + [ + 272, + 1921 + ], + [ + 4043, + 7210 + ], + [ + 3950, + 4767 + ], + [ + 2513, + 9001 + ], + [ + 4841, + 8910 + ], + [ + 2671, + 10341 + ], + [ + 2822, + 9756 + ], + [ + 2411, + 8724 + ], + [ + 6440, + 8387 + ], + [ + 4914, + 7668 + ], + [ + 1424, + 7502 + ], + [ + 2313, + 11572 + ], + [ + 3226, + 11502 + ], + [ + 1375, + 3853 + ], + [ + 3349, + 9623 + ], + [ + 4581, + 9895 + ], + [ + 1439, + 5531 + ], + [ + 694, + 4623 + ], + [ + 2684, + 10172 + ], + [ + 7689, + 10144 + ], + [ + 5020, + 9942 + ], + [ + 5827, + 9476 + ], + [ + 8246, + 11001 + ], + [ + 5693, + 7032 + ], + [ + 4106, + 8289 + ], + [ + 1251, + 8863 + ], + [ + 11053, + 11110 + ], + [ + 3615, + 4265 + ], + [ + 3295, + 4849 + ], + [ + 4234, + 6754 + ], + [ + 2955, + 5912 + ], + [ + 3760, + 3865 + ], + [ + 6124, + 6437 + ], + [ + 1860, + 6877 + ], + [ + 5411, + 10702 + ], + [ + 8859, + 9888 + ], + [ + 2228, + 5583 + ], + [ + 645, + 3576 + ], + [ + 6307, + 8773 + ], + [ + 10785, + 11480 + ], + [ + 5209, + 6057 + ], + [ + 6771, + 7187 + ], + [ + 2944, + 10634 + ], + [ + 5031, + 7448 + ], + [ + 3682, + 8119 + ], + [ + 2295, + 3772 + ], + [ + 4037, + 9219 + ], + [ + 2091, + 5470 + ], + [ + 2311, + 7688 + ], + [ + 4439, + 6755 + ], + [ + 3336, + 10111 + ], + [ + 5275, + 11191 + ], + [ + 1839, + 7878 + ], + [ + 1932, + 4659 + ], + [ + 6042, + 9414 + ], + [ + 6634, + 7074 + ], + [ + 1539, + 8340 + ], + [ + 164, + 7036 + ], + [ + 790, + 9942 + ], + [ + 6315, + 8260 + ], + [ + 4926, + 10256 + ], + [ + 2519, + 11020 + ], + [ + 6629, + 10113 + ], + [ + 6319, + 11385 + ], + [ + 1715, + 3089 + ], + [ + 908, + 1303 + ], + [ + 273, + 6979 + ], + [ + 1405, + 2109 + ], + [ + 226, + 717 + ], + [ + 4038, + 8289 + ], + [ + 9466, + 11562 + ], + [ + 7685, + 9570 + ], + [ + 488, + 1656 + ], + [ + 2552, + 9598 + ], + [ + 9577, + 11578 + ], + [ + 240, + 11353 + ], + [ + 4691, + 10739 + ], + [ + 5582, + 10718 + ], + [ + 2066, + 9331 + ], + [ + 5111, + 8100 + ], + [ + 4591, + 9754 + ], + [ + 3846, + 5436 + ], + [ + 1718, + 5615 + ], + [ + 4916, + 5380 + ], + [ + 4174, + 10405 + ], + [ + 4358, + 6550 + ], + [ + 1180, + 1775 + ], + [ + 782, + 5112 + ], + [ + 5675, + 7095 + ], + [ + 2750, + 6930 + ], + [ + 5637, + 10775 + ], + [ + 7533, + 10273 + ], + [ + 1929, + 9218 + ], + [ + 6853, + 10514 + ], + [ + 2643, + 8561 + ], + [ + 4389, + 11498 + ], + [ + 6936, + 9236 + ], + [ + 8082, + 8236 + ], + [ + 597, + 8715 + ], + [ + 181, + 6585 + ], + [ + 5623, + 9564 + ], + [ + 10547, + 10860 + ], + [ + 2044, + 10861 + ], + [ + 337, + 7098 + ], + [ + 1395, + 6251 + ], + [ + 2241, + 4959 + ], + [ + 3361, + 4990 + ], + [ + 1422, + 8074 + ], + [ + 5864, + 9626 + ], + [ + 1422, + 11457 + ], + [ + 2625, + 6827 + ], + [ + 286, + 6759 + ], + [ + 979, + 10887 + ], + [ + 6020, + 7106 + ], + [ + 2370, + 3275 + ], + [ + 420, + 6170 + ], + [ + 2120, + 8762 + ], + [ + 4372, + 10339 + ], + [ + 2901, + 2911 + ], + [ + 528, + 9675 + ], + [ + 3745, + 7208 + ], + [ + 8156, + 8693 + ], + [ + 7122, + 8436 + ], + [ + 6507, + 6820 + ], + [ + 9394, + 10665 + ], + [ + 655, + 7915 + ], + [ + 4542, + 5273 + ], + [ + 3448, + 6463 + ], + [ + 9087, + 9956 + ], + [ + 7399, + 10407 + ], + [ + 2576, + 9917 + ], + [ + 4004, + 7095 + ], + [ + 2224, + 8711 + ], + [ + 3698, + 6988 + ], + [ + 2602, + 8105 + ], + [ + 7619, + 9592 + ], + [ + 4095, + 10596 + ], + [ + 1175, + 10775 + ], + [ + 8692, + 9053 + ], + [ + 8007, + 8950 + ], + [ + 1874, + 7551 + ], + [ + 7794, + 11286 + ], + [ + 258, + 3906 + ], + [ + 2714, + 8696 + ], + [ + 6102, + 7831 + ], + [ + 6163, + 11490 + ], + [ + 5074, + 6608 + ], + [ + 807, + 8285 + ], + [ + 1243, + 11067 + ], + [ + 5262, + 10042 + ], + [ + 4049, + 6814 + ], + [ + 432, + 5375 + ], + [ + 4170, + 9026 + ], + [ + 10294, + 11056 + ], + [ + 112, + 2926 + ], + [ + 3291, + 4139 + ], + [ + 5810, + 7780 + ], + [ + 2945, + 7666 + ], + [ + 6048, + 9823 + ], + [ + 5313, + 10357 + ], + [ + 4910, + 9186 + ], + [ + 5156, + 6209 + ], + [ + 636, + 8938 + ], + [ + 6856, + 8801 + ], + [ + 4815, + 5916 + ], + [ + 2809, + 7778 + ], + [ + 1386, + 3774 + ], + [ + 4459, + 4591 + ], + [ + 5491, + 8185 + ], + [ + 6200, + 7184 + ], + [ + 1138, + 10088 + ], + [ + 3058, + 8482 + ], + [ + 2127, + 11356 + ], + [ + 5298, + 8544 + ], + [ + 3899, + 9098 + ], + [ + 6397, + 7698 + ], + [ + 2312, + 3939 + ], + [ + 2212, + 6741 + ], + [ + 6446, + 6836 + ], + [ + 8846, + 9065 + ], + [ + 995, + 6777 + ], + [ + 4444, + 9571 + ], + [ + 1426, + 2799 + ], + [ + 2401, + 6613 + ], + [ + 278, + 720 + ], + [ + 8433, + 9835 + ], + [ + 1122, + 5771 + ], + [ + 3603, + 8174 + ], + [ + 3738, + 7810 + ], + [ + 11174, + 11576 + ], + [ + 4538, + 6173 + ], + [ + 2456, + 3287 + ], + [ + 7144, + 7524 + ], + [ + 5750, + 9176 + ], + [ + 4468, + 10315 + ], + [ + 361, + 9241 + ], + [ + 3454, + 11434 + ], + [ + 2202, + 3370 + ], + [ + 636, + 11166 + ], + [ + 2260, + 6758 + ], + [ + 3903, + 8816 + ], + [ + 228, + 3235 + ], + [ + 5993, + 11563 + ], + [ + 9852, + 11037 + ], + [ + 4124, + 7472 + ], + [ + 5061, + 8550 + ], + [ + 4892, + 6297 + ], + [ + 8503, + 10173 + ], + [ + 4093, + 5126 + ], + [ + 1070, + 8590 + ], + [ + 383, + 7660 + ], + [ + 572, + 3395 + ], + [ + 3108, + 10423 + ], + [ + 3402, + 4454 + ], + [ + 1592, + 3976 + ], + [ + 530, + 3923 + ], + [ + 2159, + 5521 + ], + [ + 4105, + 5136 + ], + [ + 5877, + 7042 + ], + [ + 7707, + 8926 + ], + [ + 399, + 1373 + ], + [ + 5058, + 7124 + ], + [ + 4339, + 7410 + ], + [ + 483, + 10119 + ], + [ + 5927, + 6755 + ], + [ + 3998, + 11281 + ], + [ + 77, + 2261 + ], + [ + 1109, + 6609 + ], + [ + 6214, + 6785 + ], + [ + 2415, + 3612 + ], + [ + 2468, + 2492 + ], + [ + 301, + 7604 + ], + [ + 2761, + 9884 + ], + [ + 3054, + 5999 + ], + [ + 7258, + 10389 + ], + [ + 5831, + 7397 + ], + [ + 134, + 6151 + ], + [ + 4666, + 9875 + ], + [ + 5139, + 6123 + ], + [ + 1066, + 10295 + ], + [ + 5429, + 9080 + ], + [ + 3948, + 7380 + ], + [ + 5675, + 6103 + ], + [ + 3743, + 3942 + ], + [ + 30, + 9211 + ], + [ + 4388, + 7652 + ], + [ + 427, + 5649 + ], + [ + 1645, + 2051 + ], + [ + 3520, + 7842 + ], + [ + 5812, + 8094 + ], + [ + 347, + 3411 + ], + [ + 930, + 10407 + ], + [ + 897, + 8015 + ], + [ + 57, + 3837 + ], + [ + 2426, + 5999 + ], + [ + 6965, + 7484 + ], + [ + 3487, + 8833 + ], + [ + 5189, + 5836 + ], + [ + 79, + 1152 + ], + [ + 1393, + 8596 + ], + [ + 9390, + 9955 + ], + [ + 2594, + 7303 + ], + [ + 799, + 7857 + ], + [ + 4319, + 9363 + ], + [ + 2915, + 6163 + ], + [ + 4690, + 7586 + ], + [ + 1235, + 10639 + ], + [ + 7952, + 8302 + ], + [ + 1131, + 9535 + ], + [ + 7896, + 11376 + ], + [ + 6081, + 9800 + ], + [ + 7428, + 9056 + ], + [ + 856, + 4577 + ], + [ + 4641, + 7320 + ], + [ + 3514, + 6872 + ], + [ + 4076, + 8073 + ], + [ + 8996, + 9627 + ], + [ + 1083, + 6461 + ], + [ + 3981, + 5934 + ], + [ + 8704, + 9226 + ], + [ + 460, + 6455 + ], + [ + 1017, + 11476 + ], + [ + 1853, + 5332 + ], + [ + 2009, + 5845 + ], + [ + 5180, + 7197 + ], + [ + 142, + 4833 + ], + [ + 367, + 7395 + ], + [ + 1328, + 6615 + ], + [ + 1228, + 8663 + ], + [ + 4865, + 11508 + ], + [ + 4202, + 6468 + ], + [ + 3646, + 4301 + ], + [ + 543, + 5527 + ], + [ + 727, + 8088 + ], + [ + 5008, + 8029 + ], + [ + 6919, + 9313 + ], + [ + 7003, + 8260 + ], + [ + 6982, + 7383 + ], + [ + 6295, + 10617 + ], + [ + 9378, + 11368 + ], + [ + 5347, + 10878 + ], + [ + 4865, + 5442 + ], + [ + 8179, + 8600 + ], + [ + 462, + 9510 + ], + [ + 3144, + 9917 + ], + [ + 1619, + 6390 + ], + [ + 1116, + 11431 + ], + [ + 3849, + 8393 + ], + [ + 234, + 10033 + ], + [ + 9327, + 11029 + ], + [ + 5958, + 8938 + ], + [ + 5741, + 11155 + ], + [ + 6307, + 7594 + ], + [ + 732, + 11441 + ], + [ + 2850, + 9820 + ], + [ + 4099, + 6289 + ], + [ + 2504, + 9183 + ], + [ + 634, + 4490 + ], + [ + 9441, + 11316 + ], + [ + 1225, + 8341 + ], + [ + 6359, + 7003 + ], + [ + 2222, + 3054 + ], + [ + 78, + 3454 + ], + [ + 513, + 9798 + ], + [ + 6490, + 9149 + ], + [ + 2156, + 2434 + ], + [ + 2937, + 2999 + ], + [ + 9812, + 10670 + ], + [ + 970, + 4035 + ], + [ + 8509, + 10932 + ], + [ + 3554, + 3907 + ], + [ + 218, + 2710 + ], + [ + 1747, + 7864 + ], + [ + 6351, + 8990 + ], + [ + 5222, + 5463 + ], + [ + 3329, + 8892 + ], + [ + 1403, + 6519 + ], + [ + 4579, + 8215 + ], + [ + 2108, + 8028 + ], + [ + 9927, + 10778 + ], + [ + 4010, + 9226 + ], + [ + 1854, + 10363 + ], + [ + 2914, + 3173 + ], + [ + 765, + 3229 + ], + [ + 2669, + 9758 + ], + [ + 2631, + 7022 + ], + [ + 148, + 7202 + ], + [ + 1491, + 8968 + ], + [ + 6866, + 10725 + ], + [ + 2884, + 8599 + ], + [ + 7201, + 10449 + ], + [ + 2443, + 3938 + ], + [ + 3336, + 4744 + ], + [ + 8498, + 8837 + ], + [ + 2405, + 11001 + ], + [ + 1146, + 1766 + ], + [ + 6331, + 7533 + ], + [ + 7687, + 9561 + ], + [ + 1025, + 10107 + ], + [ + 6788, + 8940 + ], + [ + 3770, + 8584 + ], + [ + 988, + 3809 + ], + [ + 4017, + 8461 + ], + [ + 991, + 1074 + ], + [ + 4419, + 10161 + ], + [ + 6876, + 8006 + ], + [ + 8214, + 9428 + ], + [ + 3348, + 11520 + ], + [ + 8463, + 10132 + ], + [ + 2849, + 8389 + ], + [ + 366, + 4405 + ], + [ + 864, + 8819 + ], + [ + 520, + 2593 + ], + [ + 8393, + 8612 + ], + [ + 5153, + 9375 + ], + [ + 4680, + 6711 + ], + [ + 1173, + 3158 + ], + [ + 2100, + 9964 + ], + [ + 1136, + 10446 + ], + [ + 5388, + 5485 + ], + [ + 3151, + 4940 + ], + [ + 2344, + 3908 + ], + [ + 1473, + 6833 + ], + [ + 1476, + 10514 + ], + [ + 5237, + 10951 + ], + [ + 1407, + 8465 + ], + [ + 5703, + 10192 + ], + [ + 1246, + 10991 + ], + [ + 7388, + 8689 + ], + [ + 2235, + 5843 + ], + [ + 2887, + 3554 + ], + [ + 218, + 7516 + ], + [ + 4576, + 5957 + ], + [ + 4170, + 5269 + ], + [ + 8589, + 10779 + ], + [ + 456, + 3143 + ], + [ + 11018, + 11494 + ], + [ + 3237, + 10699 + ], + [ + 2012, + 5956 + ], + [ + 2700, + 10494 + ], + [ + 2861, + 4935 + ], + [ + 9213, + 10579 + ], + [ + 294, + 8450 + ], + [ + 7171, + 10532 + ], + [ + 3036, + 3246 + ], + [ + 2881, + 5587 + ], + [ + 2440, + 5844 + ], + [ + 2968, + 8215 + ], + [ + 979, + 5520 + ], + [ + 4246, + 9586 + ], + [ + 2100, + 9159 + ], + [ + 7296, + 7945 + ], + [ + 6802, + 11574 + ], + [ + 7363, + 9921 + ], + [ + 1537, + 9985 + ], + [ + 4390, + 5578 + ], + [ + 1693, + 8246 + ], + [ + 755, + 3533 + ], + [ + 1027, + 1777 + ], + [ + 1441, + 6490 + ], + [ + 3798, + 11301 + ], + [ + 4835, + 9577 + ], + [ + 3359, + 8221 + ], + [ + 2619, + 4247 + ], + [ + 1705, + 8256 + ], + [ + 189, + 1809 + ], + [ + 2556, + 3144 + ], + [ + 2611, + 7015 + ], + [ + 9828, + 11417 + ], + [ + 3914, + 9382 + ], + [ + 8299, + 10400 + ], + [ + 713, + 3657 + ], + [ + 8123, + 8454 + ], + [ + 3696, + 7210 + ], + [ + 4909, + 8186 + ], + [ + 7056, + 11467 + ], + [ + 4723, + 4798 + ], + [ + 4100, + 5573 + ], + [ + 1016, + 11013 + ], + [ + 1752, + 7671 + ], + [ + 329, + 3667 + ], + [ + 7477, + 10184 + ], + [ + 2635, + 4726 + ], + [ + 6, + 947 + ], + [ + 4142, + 7677 + ], + [ + 2059, + 10982 + ], + [ + 4583, + 8551 + ], + [ + 311, + 4966 + ], + [ + 5166, + 10629 + ], + [ + 2435, + 7297 + ], + [ + 2769, + 6419 + ], + [ + 656, + 1968 + ], + [ + 2870, + 11389 + ], + [ + 3546, + 9494 + ], + [ + 2739, + 7708 + ], + [ + 4358, + 9372 + ], + [ + 779, + 10669 + ], + [ + 528, + 6886 + ], + [ + 6102, + 9230 + ], + [ + 648, + 5490 + ], + [ + 1238, + 2323 + ], + [ + 745, + 8052 + ], + [ + 2703, + 9182 + ], + [ + 8948, + 10041 + ], + [ + 359, + 4606 + ], + [ + 6678, + 7104 + ], + [ + 9150, + 10899 + ], + [ + 7643, + 7978 + ], + [ + 201, + 6649 + ], + [ + 6826, + 11139 + ], + [ + 2698, + 5024 + ], + [ + 5174, + 7083 + ], + [ + 2154, + 10064 + ], + [ + 2099, + 3941 + ], + [ + 5947, + 7006 + ], + [ + 5738, + 6832 + ], + [ + 2276, + 8714 + ], + [ + 4198, + 7181 + ], + [ + 4297, + 7160 + ], + [ + 7913, + 9128 + ], + [ + 1032, + 3894 + ], + [ + 722, + 9330 + ], + [ + 6094, + 10816 + ], + [ + 3141, + 10855 + ], + [ + 3050, + 9239 + ], + [ + 1081, + 3032 + ], + [ + 3730, + 5965 + ], + [ + 603, + 10577 + ], + [ + 5678, + 11288 + ], + [ + 321, + 10110 + ], + [ + 6291, + 6792 + ], + [ + 8591, + 11069 + ], + [ + 2779, + 2895 + ], + [ + 4917, + 9096 + ], + [ + 5297, + 8563 + ], + [ + 6696, + 8009 + ], + [ + 9901, + 10443 + ], + [ + 3337, + 7360 + ], + [ + 935, + 9222 + ], + [ + 4266, + 7823 + ], + [ + 2614, + 10937 + ], + [ + 5573, + 7680 + ], + [ + 7479, + 8620 + ], + [ + 2126, + 11348 + ], + [ + 1459, + 5435 + ], + [ + 5293, + 8794 + ], + [ + 374, + 1426 + ], + [ + 5671, + 7434 + ], + [ + 4785, + 9327 + ], + [ + 6789, + 10802 + ], + [ + 8774, + 9591 + ], + [ + 369, + 10881 + ], + [ + 8648, + 11172 + ], + [ + 2146, + 8967 + ], + [ + 964, + 8058 + ], + [ + 5902, + 6808 + ], + [ + 2631, + 8258 + ], + [ + 1602, + 7591 + ], + [ + 4501, + 6535 + ], + [ + 3169, + 9065 + ], + [ + 4413, + 4436 + ], + [ + 1951, + 6247 + ], + [ + 5039, + 7342 + ], + [ + 8614, + 9309 + ], + [ + 1919, + 6709 + ], + [ + 1420, + 5076 + ], + [ + 1974, + 6416 + ], + [ + 5764, + 10257 + ], + [ + 1471, + 5795 + ], + [ + 7926, + 8154 + ], + [ + 1412, + 4434 + ], + [ + 5108, + 8640 + ], + [ + 3125, + 9143 + ], + [ + 4, + 7908 + ], + [ + 2564, + 6632 + ], + [ + 1563, + 2351 + ], + [ + 1497, + 3983 + ], + [ + 944, + 6251 + ], + [ + 1312, + 1951 + ], + [ + 2430, + 7571 + ], + [ + 68, + 164 + ], + [ + 6268, + 7666 + ], + [ + 3493, + 4816 + ], + [ + 874, + 8141 + ], + [ + 8965, + 9135 + ], + [ + 3301, + 8029 + ], + [ + 6621, + 7969 + ], + [ + 963, + 10815 + ], + [ + 1354, + 4055 + ], + [ + 1121, + 11401 + ], + [ + 3414, + 8091 + ], + [ + 300, + 1611 + ], + [ + 5440, + 7635 + ], + [ + 724, + 7042 + ], + [ + 333, + 7386 + ], + [ + 2537, + 11201 + ], + [ + 3191, + 5575 + ], + [ + 3160, + 4010 + ], + [ + 6981, + 8662 + ], + [ + 1327, + 1828 + ], + [ + 3371, + 8394 + ], + [ + 2042, + 4025 + ], + [ + 3055, + 3435 + ], + [ + 2093, + 4744 + ], + [ + 164, + 8516 + ], + [ + 909, + 3008 + ], + [ + 5642, + 6988 + ], + [ + 2063, + 8285 + ], + [ + 1781, + 9353 + ], + [ + 1405, + 10005 + ], + [ + 1566, + 10862 + ], + [ + 3765, + 8671 + ], + [ + 10368, + 10928 + ], + [ + 809, + 2777 + ], + [ + 5000, + 6208 + ], + [ + 2357, + 4975 + ], + [ + 4315, + 6105 + ], + [ + 5254, + 9508 + ], + [ + 5567, + 7753 + ], + [ + 3112, + 10735 + ], + [ + 5345, + 9626 + ], + [ + 5386, + 9627 + ], + [ + 1518, + 10821 + ], + [ + 1146, + 8963 + ], + [ + 2328, + 3456 + ], + [ + 4846, + 9124 + ], + [ + 6733, + 11542 + ], + [ + 5776, + 9031 + ], + [ + 855, + 5000 + ], + [ + 9545, + 11241 + ], + [ + 6126, + 9787 + ], + [ + 2324, + 2933 + ], + [ + 3750, + 6454 + ], + [ + 6396, + 11368 + ], + [ + 2105, + 4323 + ], + [ + 5706, + 10921 + ], + [ + 2168, + 8055 + ], + [ + 6146, + 11193 + ], + [ + 4372, + 6208 + ], + [ + 2149, + 3117 + ], + [ + 7329, + 8540 + ], + [ + 8125, + 9413 + ], + [ + 1124, + 6329 + ], + [ + 5355, + 6907 + ], + [ + 1994, + 9595 + ], + [ + 7255, + 7278 + ], + [ + 4230, + 5751 + ], + [ + 3949, + 9673 + ], + [ + 1928, + 3683 + ], + [ + 3142, + 8641 + ], + [ + 5752, + 6728 + ], + [ + 4599, + 11475 + ], + [ + 1951, + 9898 + ], + [ + 4263, + 11526 + ], + [ + 3268, + 10443 + ], + [ + 1900, + 6146 + ], + [ + 1726, + 10719 + ], + [ + 7524, + 8607 + ], + [ + 492, + 3204 + ], + [ + 5584, + 8056 + ], + [ + 2470, + 4986 + ], + [ + 644, + 10391 + ], + [ + 9257, + 9804 + ], + [ + 3624, + 3847 + ], + [ + 1330, + 6932 + ], + [ + 565, + 1238 + ], + [ + 731, + 8855 + ], + [ + 503, + 9405 + ], + [ + 912, + 8112 + ], + [ + 881, + 2383 + ], + [ + 1003, + 1060 + ], + [ + 5729, + 11039 + ], + [ + 4647, + 10711 + ], + [ + 3704, + 5654 + ], + [ + 1951, + 5710 + ], + [ + 6415, + 10963 + ], + [ + 5075, + 7216 + ], + [ + 1582, + 9785 + ], + [ + 6569, + 8397 + ], + [ + 2083, + 4294 + ], + [ + 710, + 10206 + ], + [ + 4433, + 5655 + ], + [ + 4964, + 5291 + ], + [ + 9852, + 11094 + ], + [ + 9069, + 9702 + ], + [ + 4091, + 11553 + ], + [ + 3613, + 8545 + ], + [ + 10305, + 10847 + ], + [ + 594, + 2302 + ], + [ + 5798, + 5867 + ], + [ + 2465, + 10603 + ], + [ + 8041, + 9610 + ], + [ + 3963, + 9274 + ], + [ + 6014, + 6431 + ], + [ + 4142, + 11491 + ], + [ + 847, + 6131 + ], + [ + 5542, + 7375 + ], + [ + 2025, + 9550 + ], + [ + 4386, + 5435 + ], + [ + 4165, + 9408 + ], + [ + 5264, + 8562 + ], + [ + 1331, + 5197 + ], + [ + 3759, + 7939 + ], + [ + 2971, + 3951 + ], + [ + 2984, + 9074 + ], + [ + 1551, + 4382 + ], + [ + 1172, + 7769 + ], + [ + 666, + 2713 + ], + [ + 4678, + 11097 + ], + [ + 5746, + 10938 + ], + [ + 10655, + 11202 + ], + [ + 3930, + 5727 + ], + [ + 2445, + 5009 + ], + [ + 7851, + 8331 + ], + [ + 3503, + 4162 + ], + [ + 5467, + 8490 + ], + [ + 8438, + 9030 + ], + [ + 6770, + 10857 + ], + [ + 6631, + 8069 + ], + [ + 163, + 4694 + ], + [ + 3081, + 7852 + ], + [ + 1348, + 9284 + ], + [ + 7377, + 9579 + ], + [ + 598, + 1616 + ], + [ + 583, + 6219 + ], + [ + 1768, + 10809 + ], + [ + 5166, + 7222 + ], + [ + 3141, + 4870 + ], + [ + 799, + 10947 + ], + [ + 6929, + 11294 + ], + [ + 2113, + 7811 + ], + [ + 7612, + 11324 + ], + [ + 1358, + 6215 + ], + [ + 4754, + 5965 + ], + [ + 526, + 2652 + ], + [ + 206, + 7400 + ], + [ + 3449, + 6154 + ], + [ + 5309, + 10159 + ], + [ + 3721, + 4398 + ], + [ + 1890, + 3043 + ], + [ + 9921, + 10402 + ], + [ + 3407, + 5928 + ], + [ + 11163, + 11362 + ], + [ + 487, + 6861 + ], + [ + 3599, + 6098 + ], + [ + 7951, + 11140 + ], + [ + 3493, + 9085 + ], + [ + 7646, + 10504 + ], + [ + 6297, + 11175 + ], + [ + 941, + 7216 + ], + [ + 6046, + 7392 + ], + [ + 4621, + 6725 + ], + [ + 7011, + 9764 + ], + [ + 3335, + 4712 + ], + [ + 968, + 2596 + ], + [ + 7647, + 10355 + ], + [ + 10298, + 11449 + ], + [ + 3641, + 5169 + ], + [ + 3147, + 8798 + ], + [ + 5038, + 7952 + ], + [ + 7097, + 9134 + ], + [ + 3417, + 3963 + ], + [ + 4449, + 7557 + ], + [ + 3416, + 5990 + ], + [ + 4037, + 8552 + ], + [ + 3596, + 4645 + ], + [ + 6741, + 11192 + ], + [ + 2916, + 9050 + ], + [ + 5614, + 9990 + ], + [ + 2546, + 3855 + ], + [ + 421, + 4305 + ], + [ + 5503, + 6187 + ], + [ + 4004, + 9543 + ], + [ + 759, + 9962 + ], + [ + 1688, + 4763 + ], + [ + 8790, + 10905 + ], + [ + 3382, + 7510 + ], + [ + 725, + 8099 + ], + [ + 4916, + 5868 + ], + [ + 5015, + 11509 + ], + [ + 3303, + 7402 + ], + [ + 7260, + 9663 + ], + [ + 8567, + 9520 + ], + [ + 723, + 4239 + ], + [ + 3240, + 7053 + ], + [ + 4787, + 6397 + ], + [ + 3084, + 9923 + ], + [ + 4510, + 7028 + ], + [ + 5188, + 10124 + ], + [ + 5568, + 10345 + ], + [ + 7393, + 11131 + ], + [ + 839, + 8736 + ], + [ + 357, + 8992 + ], + [ + 6365, + 7656 + ], + [ + 4938, + 6916 + ], + [ + 3203, + 7521 + ], + [ + 2950, + 7075 + ], + [ + 7616, + 9833 + ], + [ + 4008, + 6228 + ], + [ + 4031, + 11315 + ], + [ + 6298, + 9036 + ], + [ + 2119, + 6396 + ], + [ + 5086, + 9416 + ], + [ + 4680, + 8728 + ], + [ + 4525, + 11069 + ], + [ + 7939, + 8015 + ], + [ + 5948, + 8657 + ], + [ + 3018, + 3984 + ], + [ + 5664, + 8898 + ], + [ + 7534, + 10181 + ], + [ + 9492, + 11311 + ], + [ + 405, + 11261 + ], + [ + 433, + 477 + ], + [ + 7786, + 8150 + ], + [ + 4398, + 9015 + ], + [ + 6124, + 10576 + ], + [ + 4792, + 5936 + ], + [ + 2307, + 6043 + ], + [ + 4043, + 4128 + ], + [ + 3144, + 9169 + ], + [ + 1212, + 7762 + ], + [ + 4192, + 7634 + ], + [ + 1528, + 5524 + ], + [ + 4074, + 6824 + ], + [ + 304, + 4389 + ], + [ + 4629, + 11018 + ], + [ + 4593, + 4945 + ], + [ + 7588, + 10767 + ], + [ + 2139, + 10781 + ], + [ + 6270, + 9997 + ], + [ + 3037, + 5515 + ], + [ + 8257, + 9613 + ], + [ + 5366, + 11284 + ], + [ + 1019, + 9969 + ], + [ + 2129, + 2896 + ], + [ + 1499, + 2500 + ], + [ + 3157, + 9754 + ], + [ + 979, + 4154 + ], + [ + 7508, + 11188 + ], + [ + 5796, + 7081 + ], + [ + 2779, + 7327 + ], + [ + 570, + 3168 + ], + [ + 1836, + 8686 + ], + [ + 568, + 2341 + ], + [ + 1213, + 9461 + ], + [ + 564, + 11267 + ], + [ + 5891, + 7318 + ], + [ + 354, + 7485 + ], + [ + 595, + 4164 + ], + [ + 6916, + 10495 + ], + [ + 3934, + 9796 + ], + [ + 5207, + 10069 + ], + [ + 9056, + 10353 + ], + [ + 3483, + 4447 + ], + [ + 4561, + 9170 + ], + [ + 710, + 8059 + ], + [ + 7191, + 9387 + ], + [ + 178, + 1782 + ], + [ + 6872, + 10573 + ], + [ + 7424, + 11086 + ], + [ + 7174, + 10911 + ], + [ + 2392, + 10422 + ], + [ + 10723, + 10903 + ], + [ + 3973, + 8596 + ], + [ + 3035, + 3883 + ], + [ + 10220, + 10282 + ], + [ + 3501, + 9540 + ], + [ + 5813, + 11168 + ], + [ + 3991, + 9175 + ], + [ + 670, + 9010 + ], + [ + 4459, + 5079 + ], + [ + 597, + 9471 + ], + [ + 6355, + 7960 + ], + [ + 2396, + 9790 + ], + [ + 2996, + 5059 + ], + [ + 7286, + 8469 + ], + [ + 5698, + 6872 + ], + [ + 1488, + 4165 + ], + [ + 1532, + 10853 + ], + [ + 2000, + 6003 + ], + [ + 9899, + 10991 + ], + [ + 4235, + 5721 + ], + [ + 597, + 9821 + ], + [ + 2419, + 11090 + ], + [ + 3544, + 11465 + ], + [ + 3143, + 11121 + ], + [ + 2740, + 9950 + ], + [ + 10448, + 11206 + ], + [ + 2762, + 5013 + ], + [ + 8266, + 8870 + ], + [ + 559, + 10468 + ], + [ + 5471, + 10249 + ], + [ + 6211, + 7807 + ], + [ + 540, + 5530 + ], + [ + 7580, + 10794 + ], + [ + 271, + 6803 + ], + [ + 237, + 1557 + ], + [ + 4839, + 6774 + ], + [ + 4097, + 6137 + ], + [ + 6456, + 7611 + ], + [ + 5463, + 6601 + ], + [ + 3410, + 9371 + ], + [ + 4613, + 4741 + ], + [ + 10686, + 10970 + ], + [ + 5491, + 7868 + ], + [ + 515, + 10546 + ], + [ + 5706, + 9742 + ], + [ + 6205, + 7211 + ], + [ + 2031, + 4161 + ], + [ + 1747, + 5156 + ], + [ + 2500, + 2919 + ], + [ + 1968, + 10228 + ], + [ + 8091, + 9404 + ], + [ + 1088, + 8903 + ], + [ + 8932, + 10020 + ], + [ + 1062, + 7682 + ], + [ + 6320, + 8100 + ], + [ + 6755, + 8028 + ], + [ + 1555, + 10998 + ], + [ + 2988, + 10028 + ], + [ + 5047, + 11210 + ], + [ + 8555, + 11201 + ], + [ + 6915, + 8660 + ], + [ + 8964, + 9908 + ], + [ + 3422, + 9731 + ], + [ + 7398, + 11288 + ], + [ + 4721, + 4809 + ], + [ + 8526, + 9682 + ], + [ + 1888, + 9868 + ], + [ + 9367, + 10298 + ], + [ + 9666, + 10365 + ], + [ + 6648, + 10009 + ], + [ + 3355, + 4722 + ], + [ + 2814, + 10033 + ], + [ + 360, + 9453 + ], + [ + 425, + 9848 + ], + [ + 1941, + 3463 + ], + [ + 2727, + 4372 + ], + [ + 7730, + 10687 + ], + [ + 6866, + 8367 + ], + [ + 5051, + 7545 + ], + [ + 9469, + 10201 + ], + [ + 6669, + 11236 + ], + [ + 6920, + 8603 + ], + [ + 4337, + 11585 + ], + [ + 6479, + 8106 + ], + [ + 5732, + 7125 + ], + [ + 1160, + 10418 + ], + [ + 5107, + 7073 + ], + [ + 5692, + 9978 + ], + [ + 5609, + 8223 + ], + [ + 1743, + 10244 + ], + [ + 9368, + 9745 + ], + [ + 3045, + 3341 + ], + [ + 3139, + 8638 + ], + [ + 10958, + 11388 + ], + [ + 2923, + 7293 + ], + [ + 9086, + 10032 + ], + [ + 10755, + 11059 + ], + [ + 115, + 8467 + ], + [ + 9289, + 10391 + ], + [ + 3600, + 6754 + ], + [ + 2655, + 5034 + ], + [ + 6961, + 7449 + ], + [ + 5063, + 11288 + ], + [ + 1171, + 7170 + ], + [ + 1505, + 6292 + ], + [ + 4557, + 6232 + ], + [ + 7707, + 8959 + ], + [ + 6138, + 6658 + ], + [ + 8235, + 11330 + ], + [ + 5668, + 8429 + ], + [ + 7132, + 8270 + ], + [ + 475, + 2744 + ], + [ + 7319, + 8096 + ], + [ + 4469, + 9768 + ], + [ + 1723, + 11066 + ], + [ + 3898, + 4317 + ], + [ + 1907, + 7211 + ], + [ + 3562, + 10784 + ], + [ + 4646, + 8906 + ], + [ + 2065, + 8551 + ], + [ + 382, + 9346 + ], + [ + 3682, + 9388 + ], + [ + 7947, + 11048 + ], + [ + 3837, + 6293 + ], + [ + 4332, + 10436 + ], + [ + 1243, + 11368 + ], + [ + 1059, + 2391 + ], + [ + 1303, + 5003 + ], + [ + 1154, + 9044 + ], + [ + 8805, + 9766 + ], + [ + 2260, + 10897 + ], + [ + 5229, + 11334 + ], + [ + 3906, + 10220 + ], + [ + 900, + 4963 + ], + [ + 1951, + 7109 + ], + [ + 25, + 11152 + ], + [ + 300, + 6661 + ], + [ + 647, + 10152 + ], + [ + 16, + 486 + ], + [ + 2445, + 6863 + ], + [ + 9343, + 9822 + ], + [ + 9291, + 9632 + ], + [ + 2386, + 9666 + ], + [ + 6954, + 9637 + ], + [ + 6460, + 8348 + ], + [ + 4834, + 10431 + ], + [ + 3584, + 8075 + ], + [ + 41, + 4865 + ], + [ + 540, + 6498 + ], + [ + 4141, + 8932 + ], + [ + 8435, + 9832 + ], + [ + 5045, + 7618 + ], + [ + 659, + 713 + ], + [ + 1804, + 2494 + ], + [ + 3882, + 7890 + ], + [ + 34, + 10460 + ], + [ + 1744, + 11488 + ], + [ + 1235, + 2751 + ], + [ + 8049, + 10146 + ], + [ + 3780, + 4580 + ], + [ + 3322, + 3702 + ], + [ + 3623, + 6848 + ], + [ + 3220, + 11339 + ], + [ + 4744, + 9733 + ], + [ + 7235, + 11326 + ], + [ + 1540, + 3737 + ], + [ + 5958, + 6393 + ], + [ + 5736, + 8266 + ], + [ + 4996, + 7702 + ], + [ + 8943, + 11527 + ], + [ + 3026, + 5811 + ], + [ + 7516, + 10033 + ], + [ + 761, + 7382 + ], + [ + 8130, + 11424 + ], + [ + 3930, + 10159 + ], + [ + 4985, + 9795 + ], + [ + 3653, + 5155 + ], + [ + 4670, + 8471 + ], + [ + 377, + 4009 + ], + [ + 4058, + 6372 + ], + [ + 2332, + 11257 + ], + [ + 7349, + 8580 + ], + [ + 3364, + 8435 + ], + [ + 1459, + 11103 + ], + [ + 1223, + 8352 + ], + [ + 7472, + 10865 + ], + [ + 1772, + 2932 + ], + [ + 3694, + 4405 + ], + [ + 4889, + 9683 + ], + [ + 1682, + 6422 + ], + [ + 577, + 7453 + ], + [ + 2990, + 9133 + ], + [ + 4356, + 6187 + ], + [ + 2145, + 5365 + ], + [ + 4970, + 7578 + ], + [ + 3387, + 6325 + ], + [ + 8263, + 10613 + ], + [ + 665, + 6519 + ], + [ + 702, + 11282 + ], + [ + 3412, + 8075 + ], + [ + 5561, + 5767 + ], + [ + 833, + 2131 + ], + [ + 5960, + 9448 + ], + [ + 3694, + 4755 + ], + [ + 3093, + 9261 + ], + [ + 4244, + 8605 + ], + [ + 1671, + 8111 + ], + [ + 5054, + 7656 + ], + [ + 2134, + 3671 + ], + [ + 4804, + 6727 + ], + [ + 2651, + 11545 + ], + [ + 6137, + 7805 + ], + [ + 1560, + 10754 + ], + [ + 1315, + 3753 + ], + [ + 1091, + 2547 + ], + [ + 2703, + 8702 + ], + [ + 5256, + 7009 + ], + [ + 4051, + 10812 + ], + [ + 4827, + 11033 + ], + [ + 2738, + 11140 + ], + [ + 3340, + 9488 + ], + [ + 1336, + 1597 + ], + [ + 3949, + 10535 + ], + [ + 687, + 1151 + ], + [ + 1036, + 1305 + ], + [ + 2455, + 7819 + ], + [ + 1889, + 9128 + ], + [ + 2305, + 4842 + ], + [ + 1152, + 2419 + ], + [ + 6377, + 6861 + ], + [ + 5900, + 7461 + ], + [ + 10325, + 11288 + ], + [ + 6115, + 9335 + ], + [ + 9927, + 10461 + ], + [ + 4977, + 7944 + ], + [ + 7489, + 10414 + ], + [ + 333, + 9671 + ], + [ + 4414, + 9524 + ], + [ + 2635, + 9857 + ], + [ + 5692, + 10141 + ], + [ + 7273, + 9069 + ], + [ + 9043, + 10148 + ], + [ + 1486, + 8307 + ], + [ + 6365, + 9860 + ], + [ + 9532, + 9558 + ], + [ + 2252, + 11223 + ], + [ + 10276, + 10995 + ], + [ + 159, + 3260 + ], + [ + 4959, + 6964 + ], + [ + 4706, + 8770 + ], + [ + 3455, + 3560 + ], + [ + 5170, + 7184 + ], + [ + 3587, + 5177 + ], + [ + 1441, + 11166 + ], + [ + 10030, + 10939 + ], + [ + 526, + 1741 + ], + [ + 1307, + 2306 + ], + [ + 3705, + 7118 + ], + [ + 3791, + 9144 + ], + [ + 4410, + 4463 + ], + [ + 3321, + 3745 + ], + [ + 5380, + 11343 + ], + [ + 526, + 11540 + ], + [ + 3632, + 7579 + ], + [ + 4757, + 7954 + ], + [ + 1123, + 3128 + ], + [ + 550, + 9682 + ], + [ + 4944, + 7780 + ], + [ + 7119, + 7447 + ], + [ + 703, + 4262 + ], + [ + 1016, + 2507 + ], + [ + 5337, + 7482 + ], + [ + 1098, + 4010 + ], + [ + 1534, + 4540 + ], + [ + 1317, + 6003 + ], + [ + 7449, + 9429 + ], + [ + 3906, + 10383 + ], + [ + 720, + 1583 + ], + [ + 6516, + 9224 + ], + [ + 6987, + 11061 + ], + [ + 593, + 5191 + ], + [ + 7191, + 7858 + ], + [ + 4049, + 9156 + ], + [ + 1439, + 4653 + ], + [ + 157, + 5792 + ], + [ + 5229, + 9992 + ], + [ + 10179, + 10257 + ], + [ + 3727, + 7415 + ], + [ + 1710, + 9088 + ], + [ + 6061, + 10522 + ], + [ + 6131, + 11261 + ], + [ + 4672, + 5348 + ], + [ + 4235, + 5347 + ], + [ + 83, + 366 + ], + [ + 7056, + 8572 + ], + [ + 6058, + 10224 + ], + [ + 8745, + 10975 + ], + [ + 2942, + 6327 + ], + [ + 3110, + 8355 + ], + [ + 555, + 2805 + ], + [ + 1181, + 6465 + ], + [ + 1802, + 9027 + ], + [ + 4166, + 4429 + ], + [ + 1115, + 8097 + ], + [ + 7426, + 10734 + ], + [ + 289, + 7789 + ], + [ + 2329, + 11173 + ], + [ + 868, + 10849 + ], + [ + 10937, + 10996 + ], + [ + 7606, + 9389 + ], + [ + 1627, + 9211 + ], + [ + 703, + 6840 + ], + [ + 8118, + 11227 + ], + [ + 3655, + 8828 + ], + [ + 1809, + 8693 + ], + [ + 1423, + 9381 + ], + [ + 1747, + 7815 + ], + [ + 4424, + 7878 + ], + [ + 2158, + 2431 + ], + [ + 8040, + 9092 + ], + [ + 4022, + 9561 + ], + [ + 4392, + 8340 + ], + [ + 1720, + 2205 + ], + [ + 629, + 7830 + ], + [ + 2778, + 5522 + ], + [ + 4398, + 5876 + ], + [ + 1810, + 8514 + ], + [ + 1101, + 3853 + ], + [ + 9903, + 10335 + ], + [ + 3143, + 3176 + ], + [ + 5133, + 8725 + ], + [ + 2362, + 5994 + ], + [ + 3415, + 4803 + ], + [ + 4977, + 5179 + ], + [ + 1121, + 7888 + ], + [ + 949, + 2708 + ], + [ + 671, + 6147 + ], + [ + 1734, + 9808 + ], + [ + 6894, + 9691 + ], + [ + 1925, + 2960 + ], + [ + 5631, + 7100 + ], + [ + 174, + 2308 + ], + [ + 6268, + 9414 + ], + [ + 1199, + 5485 + ], + [ + 7202, + 10975 + ], + [ + 3188, + 5928 + ], + [ + 4657, + 10277 + ], + [ + 2501, + 11414 + ], + [ + 1104, + 6379 + ], + [ + 2537, + 11071 + ], + [ + 235, + 3715 + ], + [ + 2413, + 9315 + ], + [ + 3650, + 9931 + ], + [ + 5176, + 8398 + ], + [ + 4706, + 6005 + ], + [ + 691, + 7903 + ], + [ + 4796, + 5898 + ], + [ + 3022, + 7329 + ], + [ + 2776, + 3890 + ], + [ + 6134, + 7320 + ], + [ + 2022, + 5902 + ], + [ + 2969, + 6914 + ], + [ + 125, + 8431 + ], + [ + 4607, + 6376 + ], + [ + 7103, + 10565 + ], + [ + 1339, + 11507 + ], + [ + 1554, + 9217 + ], + [ + 1714, + 11384 + ], + [ + 302, + 399 + ], + [ + 2732, + 10384 + ], + [ + 1020, + 7031 + ], + [ + 1522, + 1765 + ], + [ + 5527, + 8224 + ], + [ + 960, + 5445 + ], + [ + 2161, + 4152 + ], + [ + 1768, + 7833 + ], + [ + 3380, + 8326 + ], + [ + 265, + 8037 + ], + [ + 3124, + 9834 + ], + [ + 2125, + 11261 + ], + [ + 9227, + 9489 + ], + [ + 2219, + 8644 + ], + [ + 5605, + 6952 + ], + [ + 2781, + 9845 + ], + [ + 1305, + 2073 + ], + [ + 5891, + 6757 + ], + [ + 8158, + 8642 + ], + [ + 3423, + 10251 + ], + [ + 2014, + 10117 + ], + [ + 6625, + 6752 + ], + [ + 4913, + 9061 + ], + [ + 3300, + 9097 + ], + [ + 334, + 4767 + ], + [ + 1734, + 11231 + ], + [ + 8678, + 10371 + ], + [ + 1990, + 8942 + ], + [ + 115, + 3905 + ], + [ + 7186, + 8482 + ], + [ + 6226, + 6454 + ], + [ + 6532, + 7692 + ], + [ + 4407, + 8142 + ], + [ + 3512, + 6509 + ], + [ + 6502, + 11233 + ], + [ + 7708, + 10284 + ], + [ + 2352, + 7079 + ], + [ + 1010, + 4003 + ], + [ + 4406, + 10169 + ], + [ + 3387, + 10944 + ], + [ + 3725, + 4523 + ], + [ + 2746, + 9635 + ], + [ + 4155, + 9769 + ], + [ + 3131, + 10200 + ], + [ + 2823, + 5883 + ], + [ + 6642, + 7456 + ], + [ + 6848, + 7332 + ], + [ + 444, + 5662 + ], + [ + 10643, + 10763 + ], + [ + 4275, + 5340 + ], + [ + 3523, + 9677 + ], + [ + 8791, + 11537 + ], + [ + 4113, + 6510 + ], + [ + 2898, + 10379 + ], + [ + 7970, + 11573 + ], + [ + 5420, + 6367 + ], + [ + 3491, + 4477 + ], + [ + 693, + 6339 + ], + [ + 4171, + 7619 + ], + [ + 3539, + 4144 + ], + [ + 4098, + 5828 + ], + [ + 3007, + 7289 + ], + [ + 8607, + 10854 + ], + [ + 5338, + 10879 + ], + [ + 1895, + 4867 + ], + [ + 2731, + 5139 + ], + [ + 3192, + 10452 + ], + [ + 7733, + 11229 + ], + [ + 5840, + 8996 + ], + [ + 1256, + 10020 + ], + [ + 4519, + 10180 + ], + [ + 4638, + 5176 + ], + [ + 653, + 5785 + ], + [ + 7354, + 11583 + ], + [ + 7875, + 10531 + ], + [ + 4898, + 10176 + ], + [ + 11338, + 11503 + ], + [ + 1254, + 3908 + ], + [ + 689, + 11077 + ], + [ + 6011, + 6784 + ], + [ + 8086, + 8499 + ], + [ + 1609, + 7290 + ], + [ + 1177, + 1217 + ], + [ + 748, + 5241 + ], + [ + 2115, + 9313 + ], + [ + 1449, + 2844 + ], + [ + 4158, + 11490 + ], + [ + 2224, + 9256 + ], + [ + 1288, + 5370 + ], + [ + 2720, + 3421 + ], + [ + 4554, + 9211 + ], + [ + 1233, + 9046 + ], + [ + 7009, + 10393 + ], + [ + 2718, + 3348 + ], + [ + 4523, + 6865 + ], + [ + 6264, + 9458 + ], + [ + 8657, + 9762 + ], + [ + 1372, + 10329 + ], + [ + 4672, + 9617 + ], + [ + 10088, + 11375 + ], + [ + 7044, + 9798 + ], + [ + 284, + 2639 + ], + [ + 3525, + 11146 + ], + [ + 5547, + 7565 + ], + [ + 657, + 11515 + ], + [ + 8255, + 9193 + ], + [ + 8812, + 10050 + ], + [ + 6873, + 7472 + ], + [ + 4791, + 8750 + ], + [ + 935, + 7295 + ], + [ + 5353, + 9951 + ], + [ + 2581, + 6618 + ], + [ + 6929, + 7781 + ], + [ + 1531, + 11490 + ], + [ + 6378, + 10876 + ], + [ + 4141, + 10331 + ], + [ + 495, + 10406 + ], + [ + 1269, + 9800 + ], + [ + 1962, + 7512 + ], + [ + 4978, + 7795 + ], + [ + 3347, + 8780 + ], + [ + 2579, + 6922 + ], + [ + 7517, + 7924 + ], + [ + 2976, + 9776 + ], + [ + 261, + 6977 + ], + [ + 4414, + 9150 + ], + [ + 1880, + 8641 + ], + [ + 6427, + 9233 + ], + [ + 3777, + 5331 + ], + [ + 1564, + 9344 + ], + [ + 4241, + 10161 + ], + [ + 2496, + 10078 + ], + [ + 8843, + 8962 + ], + [ + 4801, + 8283 + ], + [ + 5604, + 6163 + ], + [ + 3031, + 10587 + ], + [ + 8284, + 9907 + ], + [ + 9552, + 10590 + ], + [ + 11, + 7152 + ], + [ + 8278, + 10092 + ], + [ + 286, + 2661 + ], + [ + 4355, + 7415 + ], + [ + 6657, + 8355 + ], + [ + 2333, + 8744 + ], + [ + 1617, + 7076 + ], + [ + 3272, + 3479 + ], + [ + 1739, + 8005 + ], + [ + 1687, + 7815 + ], + [ + 1964, + 4151 + ], + [ + 835, + 8538 + ], + [ + 3607, + 6209 + ], + [ + 5966, + 7683 + ], + [ + 2337, + 3201 + ], + [ + 1115, + 5145 + ], + [ + 7056, + 9003 + ], + [ + 4690, + 6358 + ], + [ + 1825, + 6244 + ], + [ + 9328, + 11232 + ], + [ + 1166, + 5110 + ], + [ + 4316, + 7837 + ], + [ + 7802, + 10513 + ], + [ + 4438, + 9520 + ], + [ + 5527, + 7232 + ], + [ + 7994, + 10683 + ], + [ + 9520, + 11402 + ], + [ + 148, + 8739 + ], + [ + 7250, + 9219 + ], + [ + 5158, + 5645 + ], + [ + 569, + 10489 + ], + [ + 1013, + 1835 + ], + [ + 2943, + 7333 + ], + [ + 6887, + 7854 + ], + [ + 1231, + 6609 + ], + [ + 1415, + 8416 + ], + [ + 1783, + 7122 + ], + [ + 8505, + 11545 + ], + [ + 575, + 4992 + ], + [ + 779, + 8205 + ], + [ + 8062, + 10975 + ], + [ + 598, + 9325 + ], + [ + 89, + 1342 + ], + [ + 1439, + 10695 + ], + [ + 6449, + 11011 + ], + [ + 5857, + 6935 + ], + [ + 4014, + 10481 + ], + [ + 7348, + 8599 + ], + [ + 497, + 2076 + ], + [ + 5763, + 6519 + ], + [ + 4383, + 11287 + ], + [ + 5159, + 11508 + ], + [ + 4937, + 6211 + ], + [ + 393, + 972 + ], + [ + 1996, + 8519 + ], + [ + 1024, + 1970 + ], + [ + 1726, + 6214 + ], + [ + 3694, + 8032 + ], + [ + 3510, + 5471 + ], + [ + 2078, + 10049 + ], + [ + 2176, + 7174 + ], + [ + 3102, + 3956 + ], + [ + 1760, + 5044 + ], + [ + 1055, + 6918 + ], + [ + 2070, + 9407 + ], + [ + 4035, + 5292 + ], + [ + 1571, + 5522 + ], + [ + 5712, + 6180 + ], + [ + 2324, + 4039 + ], + [ + 4748, + 6662 + ], + [ + 8036, + 8599 + ], + [ + 3158, + 7648 + ], + [ + 942, + 8734 + ], + [ + 5341, + 7176 + ], + [ + 2621, + 10449 + ], + [ + 2068, + 9711 + ], + [ + 1965, + 8832 + ], + [ + 2976, + 11549 + ], + [ + 6173, + 7706 + ], + [ + 8604, + 11500 + ], + [ + 2379, + 7129 + ], + [ + 257, + 11260 + ], + [ + 467, + 5593 + ], + [ + 3056, + 3557 + ], + [ + 2238, + 10280 + ], + [ + 1956, + 4932 + ], + [ + 268, + 5383 + ], + [ + 2924, + 4569 + ], + [ + 57, + 4382 + ], + [ + 8862, + 11135 + ], + [ + 6651, + 9559 + ], + [ + 4720, + 11006 + ], + [ + 520, + 9741 + ], + [ + 2905, + 5266 + ], + [ + 5527, + 5622 + ], + [ + 1394, + 6333 + ], + [ + 2409, + 8068 + ], + [ + 3502, + 4024 + ], + [ + 7772, + 9411 + ], + [ + 4240, + 10554 + ], + [ + 164, + 4629 + ], + [ + 4026, + 5872 + ], + [ + 4062, + 5529 + ], + [ + 3344, + 9450 + ], + [ + 2372, + 5153 + ], + [ + 5288, + 5986 + ], + [ + 4355, + 8033 + ], + [ + 905, + 5014 + ], + [ + 10431, + 11527 + ], + [ + 1842, + 6092 + ], + [ + 7654, + 7850 + ], + [ + 7026, + 7527 + ], + [ + 7652, + 11187 + ], + [ + 2614, + 8823 + ], + [ + 713, + 1811 + ], + [ + 3204, + 9820 + ], + [ + 1045, + 4270 + ], + [ + 10920, + 10937 + ], + [ + 4263, + 5411 + ], + [ + 5440, + 5976 + ], + [ + 1455, + 5831 + ], + [ + 1360, + 8977 + ], + [ + 5066, + 9707 + ], + [ + 24, + 7601 + ], + [ + 5027, + 6746 + ], + [ + 1751, + 5600 + ], + [ + 4963, + 9205 + ], + [ + 3008, + 6094 + ], + [ + 1292, + 4497 + ], + [ + 4554, + 8219 + ], + [ + 6915, + 8985 + ], + [ + 2625, + 8958 + ], + [ + 3528, + 10452 + ], + [ + 1684, + 4728 + ], + [ + 285, + 5282 + ], + [ + 3893, + 9641 + ], + [ + 1410, + 5657 + ], + [ + 942, + 4091 + ], + [ + 2554, + 3830 + ], + [ + 3555, + 6613 + ], + [ + 4676, + 9498 + ], + [ + 2613, + 4410 + ], + [ + 4201, + 6761 + ], + [ + 5011, + 5812 + ], + [ + 2521, + 11237 + ], + [ + 892, + 3223 + ], + [ + 3544, + 11335 + ], + [ + 3260, + 11576 + ], + [ + 4139, + 8512 + ], + [ + 1338, + 10857 + ], + [ + 1584, + 7880 + ], + [ + 1856, + 6124 + ], + [ + 2609, + 3887 + ], + [ + 1009, + 7191 + ], + [ + 7968, + 11527 + ], + [ + 769, + 7704 + ], + [ + 543, + 11333 + ], + [ + 694, + 9250 + ], + [ + 2502, + 8901 + ], + [ + 5060, + 5300 + ], + [ + 11027, + 11133 + ], + [ + 7329, + 10264 + ], + [ + 1777, + 9399 + ], + [ + 2033, + 7110 + ], + [ + 4335, + 8050 + ], + [ + 4796, + 6947 + ], + [ + 4462, + 7825 + ], + [ + 6425, + 9299 + ], + [ + 5014, + 8338 + ], + [ + 320, + 9948 + ], + [ + 3587, + 6844 + ], + [ + 3621, + 6428 + ], + [ + 2654, + 6639 + ], + [ + 1495, + 6653 + ], + [ + 5139, + 10669 + ], + [ + 3148, + 7147 + ], + [ + 901, + 5914 + ], + [ + 583, + 909 + ], + [ + 4042, + 5145 + ], + [ + 8641, + 10091 + ], + [ + 6939, + 7426 + ], + [ + 2300, + 8743 + ], + [ + 9860, + 10101 + ], + [ + 5438, + 7703 + ], + [ + 307, + 9312 + ], + [ + 9266, + 9362 + ], + [ + 5462, + 8097 + ], + [ + 147, + 4893 + ], + [ + 7172, + 9125 + ], + [ + 88, + 9948 + ], + [ + 9135, + 10599 + ], + [ + 2973, + 4298 + ], + [ + 894, + 11509 + ], + [ + 6090, + 8797 + ], + [ + 703, + 6279 + ], + [ + 3528, + 8492 + ], + [ + 228, + 9204 + ], + [ + 9660, + 9666 + ], + [ + 551, + 8891 + ], + [ + 3290, + 9832 + ], + [ + 1657, + 10744 + ], + [ + 3622, + 5875 + ], + [ + 2429, + 6305 + ], + [ + 1498, + 2763 + ], + [ + 4216, + 9997 + ], + [ + 8419, + 10779 + ], + [ + 1188, + 2537 + ], + [ + 477, + 6875 + ], + [ + 3218, + 5233 + ], + [ + 1438, + 6095 + ], + [ + 3215, + 10597 + ], + [ + 340, + 10549 + ], + [ + 2611, + 9170 + ], + [ + 990, + 1017 + ], + [ + 490, + 10493 + ], + [ + 2852, + 5068 + ], + [ + 3258, + 3504 + ], + [ + 5744, + 7005 + ], + [ + 3383, + 4704 + ], + [ + 1917, + 4036 + ], + [ + 8305, + 9337 + ], + [ + 2515, + 9812 + ], + [ + 5455, + 10285 + ], + [ + 2786, + 10083 + ], + [ + 415, + 11258 + ], + [ + 3469, + 7861 + ], + [ + 17, + 4015 + ], + [ + 1626, + 4237 + ], + [ + 2978, + 3837 + ], + [ + 474, + 5422 + ], + [ + 131, + 8466 + ], + [ + 3672, + 4433 + ], + [ + 8496, + 8531 + ], + [ + 1249, + 1254 + ], + [ + 4932, + 10860 + ], + [ + 5703, + 10737 + ], + [ + 5235, + 8417 + ], + [ + 4648, + 4685 + ], + [ + 3490, + 8334 + ], + [ + 2827, + 6300 + ], + [ + 616, + 4724 + ], + [ + 3766, + 7451 + ], + [ + 9655, + 11119 + ], + [ + 1873, + 5218 + ], + [ + 6307, + 8407 + ], + [ + 9899, + 11479 + ], + [ + 1243, + 4822 + ], + [ + 495, + 10032 + ], + [ + 1524, + 3529 + ], + [ + 1887, + 8307 + ], + [ + 607, + 3857 + ], + [ + 5069, + 6785 + ], + [ + 6588, + 10497 + ], + [ + 2147, + 6137 + ], + [ + 2388, + 9232 + ], + [ + 924, + 2975 + ], + [ + 571, + 1167 + ], + [ + 1453, + 8200 + ], + [ + 1018, + 2610 + ], + [ + 2064, + 3658 + ], + [ + 8259, + 11570 + ], + [ + 1719, + 6629 + ], + [ + 1101, + 7748 + ], + [ + 2252, + 7092 + ], + [ + 266, + 10330 + ], + [ + 4717, + 8962 + ], + [ + 9189, + 9225 + ], + [ + 1603, + 2482 + ], + [ + 406, + 9586 + ], + [ + 6168, + 7817 + ], + [ + 3494, + 11435 + ], + [ + 8695, + 11319 + ], + [ + 1773, + 10248 + ], + [ + 7903, + 10595 + ], + [ + 4983, + 10774 + ], + [ + 4011, + 6477 + ], + [ + 220, + 10335 + ], + [ + 10584, + 11531 + ], + [ + 2487, + 5804 + ], + [ + 1828, + 6922 + ], + [ + 1114, + 1163 + ], + [ + 4854, + 11303 + ], + [ + 4438, + 5763 + ], + [ + 900, + 7061 + ], + [ + 11287, + 11459 + ], + [ + 8737, + 11171 + ], + [ + 1726, + 6645 + ], + [ + 1274, + 2549 + ], + [ + 135, + 3996 + ], + [ + 5532, + 7956 + ], + [ + 3625, + 9043 + ], + [ + 3748, + 11328 + ], + [ + 43, + 1374 + ], + [ + 6390, + 6674 + ], + [ + 5516, + 5918 + ], + [ + 261, + 2765 + ], + [ + 1006, + 3673 + ], + [ + 6735, + 9338 + ], + [ + 2783, + 5923 + ], + [ + 3562, + 5661 + ], + [ + 878, + 8591 + ], + [ + 7448, + 9210 + ], + [ + 8411, + 10755 + ], + [ + 1152, + 6127 + ], + [ + 1766, + 1856 + ], + [ + 6201, + 6371 + ], + [ + 5910, + 9605 + ], + [ + 2553, + 9783 + ], + [ + 585, + 3801 + ], + [ + 6741, + 9533 + ], + [ + 3847, + 4517 + ], + [ + 990, + 11434 + ], + [ + 5436, + 9722 + ], + [ + 1168, + 7010 + ], + [ + 4349, + 9050 + ], + [ + 493, + 7595 + ], + [ + 2286, + 10378 + ], + [ + 2385, + 10357 + ], + [ + 3228, + 5384 + ], + [ + 4439, + 11195 + ], + [ + 4848, + 9902 + ], + [ + 15, + 7970 + ], + [ + 5242, + 6823 + ], + [ + 3160, + 3937 + ], + [ + 4751, + 9969 + ], + [ + 9715, + 9940 + ], + [ + 7070, + 7880 + ], + [ + 2376, + 9490 + ], + [ + 6545, + 9190 + ], + [ + 540, + 7791 + ], + [ + 283, + 5691 + ], + [ + 3366, + 7196 + ], + [ + 2621, + 7042 + ], + [ + 6659, + 9477 + ], + [ + 5019, + 7690 + ], + [ + 3052, + 9480 + ], + [ + 727, + 6836 + ], + [ + 3638, + 6571 + ], + [ + 926, + 9705 + ], + [ + 3240, + 5744 + ], + [ + 2459, + 5179 + ], + [ + 2386, + 9804 + ], + [ + 5746, + 9897 + ], + [ + 5587, + 9086 + ], + [ + 6877, + 11218 + ], + [ + 3818, + 8609 + ], + [ + 6280, + 6798 + ], + [ + 917, + 8838 + ], + [ + 6063, + 9015 + ], + [ + 3914, + 8317 + ], + [ + 4659, + 9225 + ], + [ + 5593, + 10032 + ], + [ + 5190, + 8861 + ], + [ + 729, + 3125 + ], + [ + 6520, + 10422 + ], + [ + 3559, + 4184 + ], + [ + 694, + 10486 + ], + [ + 2158, + 3911 + ], + [ + 2075, + 8572 + ], + [ + 5745, + 7393 + ], + [ + 6335, + 10642 + ], + [ + 4054, + 4163 + ], + [ + 1170, + 3999 + ], + [ + 1965, + 4270 + ], + [ + 4117, + 7895 + ], + [ + 4893, + 8116 + ], + [ + 2157, + 10856 + ], + [ + 4306, + 4384 + ], + [ + 8079, + 10500 + ], + [ + 3590, + 9132 + ], + [ + 359, + 1313 + ], + [ + 5085, + 8286 + ], + [ + 1936, + 1997 + ], + [ + 4021, + 5154 + ], + [ + 576, + 8895 + ], + [ + 1474, + 3629 + ], + [ + 4299, + 10760 + ], + [ + 2647, + 7458 + ], + [ + 7170, + 7656 + ], + [ + 4928, + 7521 + ], + [ + 4799, + 8831 + ], + [ + 3801, + 10483 + ], + [ + 6380, + 10011 + ], + [ + 432, + 8392 + ], + [ + 7911, + 8822 + ], + [ + 1281, + 7371 + ], + [ + 6970, + 10227 + ], + [ + 2199, + 9173 + ], + [ + 1492, + 5339 + ], + [ + 1418, + 2946 + ], + [ + 1808, + 3101 + ], + [ + 588, + 5872 + ], + [ + 959, + 8259 + ], + [ + 1614, + 9651 + ], + [ + 308, + 6986 + ], + [ + 5217, + 7250 + ], + [ + 1347, + 11000 + ], + [ + 6369, + 8667 + ], + [ + 4459, + 10991 + ], + [ + 6263, + 10900 + ], + [ + 1817, + 6196 + ], + [ + 1869, + 6386 + ], + [ + 9563, + 10188 + ], + [ + 1750, + 4974 + ], + [ + 563, + 3721 + ], + [ + 6251, + 6352 + ], + [ + 781, + 8495 + ], + [ + 3916, + 9436 + ], + [ + 4548, + 9878 + ], + [ + 6152, + 9756 + ], + [ + 8392, + 9818 + ], + [ + 684, + 2146 + ], + [ + 5122, + 5454 + ], + [ + 855, + 2967 + ], + [ + 1014, + 7161 + ], + [ + 768, + 3722 + ], + [ + 301, + 11426 + ], + [ + 3821, + 6516 + ], + [ + 4096, + 8441 + ], + [ + 1412, + 7207 + ], + [ + 1076, + 11422 + ], + [ + 7299, + 8550 + ], + [ + 907, + 3507 + ], + [ + 7006, + 10957 + ], + [ + 781, + 924 + ], + [ + 1154, + 9800 + ], + [ + 6606, + 7051 + ], + [ + 219, + 8768 + ], + [ + 6853, + 6928 + ], + [ + 3338, + 3514 + ], + [ + 6223, + 10696 + ], + [ + 3453, + 4026 + ], + [ + 6780, + 11553 + ], + [ + 7320, + 9023 + ], + [ + 9221, + 9619 + ], + [ + 4414, + 9662 + ], + [ + 1797, + 7398 + ], + [ + 5076, + 5809 + ], + [ + 57, + 7659 + ], + [ + 1156, + 6813 + ], + [ + 5166, + 7954 + ], + [ + 2265, + 5931 + ], + [ + 1272, + 7927 + ], + [ + 7707, + 8910 + ], + [ + 5155, + 7041 + ], + [ + 7990, + 8444 + ], + [ + 2042, + 3415 + ], + [ + 4251, + 8328 + ], + [ + 2699, + 5634 + ], + [ + 2255, + 4462 + ], + [ + 80, + 3297 + ], + [ + 2442, + 10704 + ], + [ + 4966, + 8273 + ], + [ + 2032, + 6110 + ], + [ + 605, + 11032 + ], + [ + 1037, + 11443 + ], + [ + 2164, + 6229 + ], + [ + 4622, + 6928 + ], + [ + 1265, + 7106 + ], + [ + 2566, + 3011 + ], + [ + 4522, + 9730 + ], + [ + 5016, + 6855 + ], + [ + 3175, + 4058 + ], + [ + 9415, + 9461 + ], + [ + 6137, + 7488 + ], + [ + 982, + 4539 + ], + [ + 101, + 10940 + ], + [ + 9225, + 9337 + ], + [ + 3750, + 3966 + ], + [ + 9531, + 10575 + ], + [ + 844, + 3851 + ], + [ + 2406, + 4981 + ], + [ + 2585, + 6444 + ], + [ + 5291, + 5747 + ], + [ + 6846, + 9116 + ], + [ + 3981, + 9756 + ], + [ + 1371, + 4499 + ], + [ + 7442, + 9901 + ], + [ + 7225, + 11364 + ], + [ + 1241, + 2174 + ], + [ + 864, + 2224 + ], + [ + 3135, + 8015 + ], + [ + 3042, + 4818 + ], + [ + 8176, + 9896 + ], + [ + 2267, + 8205 + ], + [ + 4194, + 7770 + ], + [ + 7955, + 8207 + ], + [ + 4228, + 6600 + ], + [ + 8320, + 10025 + ], + [ + 9877, + 10057 + ], + [ + 138, + 8132 + ], + [ + 5617, + 7206 + ], + [ + 7723, + 8988 + ], + [ + 3006, + 8894 + ], + [ + 1504, + 8569 + ], + [ + 1869, + 7004 + ], + [ + 379, + 8194 + ], + [ + 5091, + 11297 + ], + [ + 8914, + 10360 + ], + [ + 3714, + 7668 + ], + [ + 1026, + 8944 + ], + [ + 23, + 3836 + ], + [ + 970, + 9012 + ], + [ + 335, + 8272 + ], + [ + 331, + 11536 + ], + [ + 9147, + 9780 + ], + [ + 6382, + 6864 + ], + [ + 5601, + 7053 + ], + [ + 3111, + 8314 + ], + [ + 3259, + 8966 + ], + [ + 1948, + 5203 + ], + [ + 3844, + 5455 + ], + [ + 989, + 6783 + ], + [ + 4719, + 4901 + ], + [ + 3292, + 8325 + ], + [ + 1444, + 7363 + ], + [ + 6218, + 11344 + ], + [ + 3575, + 10111 + ], + [ + 920, + 5111 + ], + [ + 1414, + 2236 + ], + [ + 6579, + 6627 + ], + [ + 3103, + 4639 + ], + [ + 3158, + 8510 + ], + [ + 1917, + 6240 + ], + [ + 78, + 860 + ], + [ + 6681, + 10287 + ], + [ + 3061, + 10829 + ], + [ + 5274, + 6816 + ], + [ + 2076, + 10434 + ], + [ + 5459, + 9979 + ], + [ + 1436, + 9350 + ], + [ + 99, + 11536 + ], + [ + 2807, + 10912 + ], + [ + 2533, + 5425 + ], + [ + 2743, + 2791 + ], + [ + 5383, + 10142 + ], + [ + 94, + 8159 + ], + [ + 1343, + 3874 + ], + [ + 1897, + 5214 + ], + [ + 2146, + 8170 + ], + [ + 9389, + 11541 + ], + [ + 2200, + 8406 + ], + [ + 1115, + 10813 + ], + [ + 217, + 3247 + ], + [ + 5165, + 9101 + ], + [ + 5657, + 8809 + ], + [ + 8542, + 9575 + ], + [ + 5276, + 9871 + ], + [ + 2671, + 4958 + ], + [ + 10752, + 10926 + ], + [ + 8143, + 9277 + ], + [ + 3965, + 9491 + ], + [ + 2786, + 8099 + ], + [ + 3087, + 8993 + ], + [ + 6320, + 7059 + ], + [ + 1851, + 11231 + ], + [ + 5022, + 8419 + ], + [ + 2752, + 6236 + ], + [ + 3708, + 10774 + ], + [ + 7966, + 9765 + ], + [ + 2429, + 9932 + ], + [ + 3551, + 4374 + ], + [ + 5978, + 10678 + ], + [ + 9832, + 11306 + ], + [ + 154, + 989 + ], + [ + 778, + 816 + ], + [ + 7777, + 10243 + ], + [ + 344, + 4496 + ], + [ + 3360, + 11195 + ], + [ + 9180, + 10562 + ], + [ + 16, + 4438 + ], + [ + 5370, + 10980 + ], + [ + 76, + 8653 + ], + [ + 1612, + 4398 + ], + [ + 4406, + 11462 + ], + [ + 5528, + 5904 + ], + [ + 2205, + 11328 + ], + [ + 5407, + 7829 + ], + [ + 3072, + 4497 + ], + [ + 2478, + 10174 + ], + [ + 1568, + 7509 + ], + [ + 198, + 887 + ], + [ + 3783, + 9204 + ], + [ + 5049, + 9060 + ], + [ + 7444, + 10191 + ], + [ + 8791, + 9447 + ], + [ + 2225, + 8947 + ], + [ + 1033, + 7350 + ], + [ + 4623, + 10349 + ], + [ + 5461, + 11448 + ], + [ + 294, + 10394 + ], + [ + 2584, + 9819 + ], + [ + 2143, + 10076 + ], + [ + 3423, + 7356 + ], + [ + 1589, + 2320 + ], + [ + 1031, + 3490 + ], + [ + 1776, + 8562 + ], + [ + 680, + 2509 + ], + [ + 1810, + 7392 + ], + [ + 6729, + 8344 + ], + [ + 3910, + 10857 + ], + [ + 8053, + 11588 + ], + [ + 6504, + 9165 + ], + [ + 1614, + 6699 + ], + [ + 179, + 8350 + ], + [ + 373, + 8593 + ], + [ + 6278, + 7132 + ], + [ + 2607, + 8840 + ], + [ + 8610, + 9412 + ], + [ + 8641, + 8725 + ], + [ + 2354, + 4230 + ], + [ + 412, + 600 + ], + [ + 4123, + 5838 + ], + [ + 2068, + 4775 + ], + [ + 3434, + 8245 + ], + [ + 1259, + 9332 + ], + [ + 786, + 6668 + ], + [ + 4402, + 10134 + ], + [ + 5183, + 10699 + ], + [ + 3584, + 8189 + ], + [ + 726, + 5082 + ], + [ + 1716, + 9204 + ], + [ + 3674, + 10334 + ], + [ + 9687, + 10096 + ], + [ + 523, + 8136 + ], + [ + 218, + 7500 + ], + [ + 5698, + 6799 + ], + [ + 653, + 1012 + ], + [ + 1864, + 6823 + ], + [ + 1430, + 10503 + ], + [ + 5036, + 6865 + ], + [ + 1984, + 4646 + ], + [ + 1010, + 10102 + ], + [ + 1015, + 10446 + ], + [ + 517, + 3753 + ], + [ + 1408, + 7896 + ], + [ + 6707, + 11321 + ], + [ + 6666, + 8314 + ], + [ + 2968, + 8199 + ], + [ + 5485, + 11013 + ], + [ + 727, + 4502 + ], + [ + 3836, + 11392 + ], + [ + 1377, + 5550 + ], + [ + 2867, + 4360 + ], + [ + 4119, + 10926 + ], + [ + 3152, + 7727 + ], + [ + 750, + 9589 + ], + [ + 2436, + 5305 + ], + [ + 5457, + 5932 + ], + [ + 314, + 10190 + ], + [ + 4209, + 6655 + ], + [ + 3395, + 10114 + ], + [ + 1986, + 3564 + ], + [ + 318, + 6145 + ], + [ + 2586, + 6003 + ], + [ + 306, + 8794 + ], + [ + 2109, + 8101 + ], + [ + 4535, + 5135 + ], + [ + 3598, + 7440 + ], + [ + 2579, + 8215 + ], + [ + 266, + 8614 + ], + [ + 8557, + 11174 + ], + [ + 1174, + 4790 + ], + [ + 6580, + 11522 + ], + [ + 1327, + 5032 + ], + [ + 4689, + 5952 + ], + [ + 2918, + 11064 + ], + [ + 8322, + 11307 + ], + [ + 440, + 7454 + ], + [ + 4555, + 6137 + ], + [ + 1444, + 9754 + ], + [ + 1535, + 2702 + ], + [ + 2935, + 5002 + ], + [ + 1128, + 10457 + ], + [ + 1772, + 1891 + ], + [ + 1849, + 4555 + ], + [ + 7638, + 11025 + ], + [ + 3586, + 9658 + ], + [ + 6259, + 6569 + ], + [ + 872, + 3297 + ], + [ + 3800, + 7143 + ], + [ + 1116, + 10073 + ], + [ + 259, + 4760 + ], + [ + 6974, + 8012 + ], + [ + 1611, + 10052 + ], + [ + 434, + 3071 + ], + [ + 3732, + 6450 + ], + [ + 1801, + 7143 + ], + [ + 2639, + 4078 + ], + [ + 1111, + 2532 + ], + [ + 5558, + 10844 + ], + [ + 3784, + 5859 + ], + [ + 9422, + 9908 + ], + [ + 6839, + 8726 + ], + [ + 3102, + 9437 + ], + [ + 6025, + 6523 + ], + [ + 5870, + 8864 + ], + [ + 7614, + 9476 + ], + [ + 1260, + 3005 + ], + [ + 6048, + 10856 + ], + [ + 5, + 6721 + ], + [ + 5607, + 6949 + ], + [ + 176, + 8266 + ], + [ + 624, + 2040 + ], + [ + 1260, + 6388 + ], + [ + 1719, + 4458 + ], + [ + 2001, + 7554 + ], + [ + 8064, + 8931 + ], + [ + 6825, + 10898 + ], + [ + 9161, + 11422 + ], + [ + 4150, + 10881 + ], + [ + 224, + 2271 + ], + [ + 1304, + 9319 + ], + [ + 7563, + 7602 + ], + [ + 6477, + 7155 + ], + [ + 3423, + 4136 + ], + [ + 4756, + 5214 + ], + [ + 5817, + 8048 + ], + [ + 616, + 1748 + ], + [ + 6197, + 7515 + ], + [ + 1333, + 11188 + ], + [ + 891, + 3673 + ], + [ + 2821, + 9171 + ], + [ + 3760, + 10322 + ], + [ + 3232, + 4541 + ], + [ + 7584, + 8829 + ], + [ + 7233, + 7848 + ], + [ + 7296, + 11580 + ], + [ + 6233, + 6421 + ], + [ + 3223, + 10090 + ], + [ + 2447, + 3453 + ], + [ + 2168, + 4038 + ], + [ + 4493, + 10065 + ], + [ + 995, + 10038 + ], + [ + 7352, + 9610 + ], + [ + 4146, + 9203 + ], + [ + 2713, + 4511 + ], + [ + 2680, + 8535 + ], + [ + 5132, + 6790 + ], + [ + 3306, + 5779 + ], + [ + 1965, + 4059 + ], + [ + 31, + 7487 + ], + [ + 1609, + 1980 + ], + [ + 487, + 1876 + ], + [ + 870, + 11440 + ], + [ + 276, + 6537 + ], + [ + 30, + 8016 + ], + [ + 3977, + 11087 + ], + [ + 2697, + 3227 + ], + [ + 1339, + 3782 + ], + [ + 1774, + 10126 + ], + [ + 269, + 7251 + ], + [ + 1817, + 5285 + ], + [ + 7895, + 9606 + ], + [ + 3378, + 6190 + ], + [ + 2903, + 3453 + ], + [ + 3560, + 5672 + ], + [ + 10691, + 11054 + ], + [ + 5610, + 9774 + ], + [ + 5543, + 7798 + ], + [ + 8698, + 10869 + ], + [ + 8631, + 9647 + ], + [ + 3803, + 8813 + ], + [ + 8042, + 9252 + ], + [ + 928, + 1595 + ], + [ + 7233, + 7393 + ], + [ + 3417, + 8777 + ], + [ + 8685, + 9883 + ], + [ + 7045, + 7342 + ], + [ + 8783, + 10418 + ], + [ + 8, + 1595 + ], + [ + 7628, + 7922 + ], + [ + 1895, + 4013 + ], + [ + 9083, + 9929 + ], + [ + 3450, + 3972 + ], + [ + 1091, + 6662 + ], + [ + 906, + 6128 + ], + [ + 1921, + 8617 + ], + [ + 868, + 3392 + ], + [ + 6654, + 10345 + ], + [ + 3667, + 5138 + ], + [ + 1991, + 7858 + ], + [ + 3659, + 8660 + ], + [ + 6747, + 10509 + ], + [ + 2351, + 11584 + ], + [ + 2201, + 7853 + ], + [ + 758, + 2473 + ], + [ + 2499, + 5066 + ], + [ + 8820, + 11397 + ], + [ + 8567, + 10951 + ], + [ + 707, + 9301 + ], + [ + 3004, + 9897 + ], + [ + 5332, + 5642 + ], + [ + 4607, + 6140 + ], + [ + 3274, + 10697 + ], + [ + 8384, + 8965 + ], + [ + 2990, + 4522 + ], + [ + 8201, + 9258 + ], + [ + 1061, + 2632 + ], + [ + 1059, + 5969 + ], + [ + 6224, + 10360 + ], + [ + 5417, + 8574 + ], + [ + 250, + 4110 + ], + [ + 726, + 9701 + ], + [ + 6569, + 6608 + ], + [ + 8250, + 9150 + ], + [ + 1842, + 6580 + ], + [ + 214, + 11246 + ], + [ + 1422, + 6960 + ], + [ + 498, + 4589 + ], + [ + 3798, + 3877 + ], + [ + 5356, + 7517 + ], + [ + 5739, + 6531 + ], + [ + 110, + 7109 + ], + [ + 7737, + 10443 + ], + [ + 8320, + 10269 + ], + [ + 4431, + 6422 + ], + [ + 2495, + 6771 + ], + [ + 8945, + 9540 + ], + [ + 2066, + 10795 + ], + [ + 2978, + 3707 + ], + [ + 9655, + 10639 + ], + [ + 8631, + 11070 + ], + [ + 8908, + 9658 + ], + [ + 2435, + 5939 + ], + [ + 3902, + 7209 + ], + [ + 657, + 7628 + ], + [ + 3181, + 7449 + ], + [ + 1927, + 4974 + ], + [ + 3960, + 11351 + ], + [ + 3893, + 10129 + ], + [ + 2988, + 7808 + ], + [ + 8373, + 9499 + ], + [ + 966, + 2721 + ], + [ + 3455, + 9903 + ], + [ + 370, + 1155 + ], + [ + 3329, + 10730 + ], + [ + 130, + 8084 + ], + [ + 10238, + 10815 + ], + [ + 3137, + 7527 + ], + [ + 3254, + 8866 + ], + [ + 3794, + 6336 + ], + [ + 2854, + 4960 + ], + [ + 3788, + 8019 + ], + [ + 291, + 5184 + ], + [ + 2099, + 8999 + ], + [ + 604, + 3429 + ], + [ + 3126, + 6587 + ], + [ + 3279, + 6829 + ], + [ + 5751, + 6460 + ], + [ + 4562, + 8544 + ], + [ + 823, + 7674 + ], + [ + 5059, + 9350 + ], + [ + 234, + 1617 + ], + [ + 6209, + 10721 + ], + [ + 46, + 1566 + ], + [ + 1912, + 9523 + ], + [ + 4030, + 7902 + ], + [ + 5145, + 7589 + ], + [ + 1754, + 2521 + ], + [ + 6475, + 9150 + ], + [ + 1222, + 9076 + ], + [ + 5525, + 7810 + ], + [ + 63, + 9090 + ], + [ + 619, + 4087 + ], + [ + 8781, + 10209 + ], + [ + 3640, + 4714 + ], + [ + 2831, + 8517 + ], + [ + 1809, + 3359 + ], + [ + 54, + 1807 + ], + [ + 1451, + 4590 + ], + [ + 1553, + 8250 + ], + [ + 2857, + 3672 + ], + [ + 426, + 632 + ], + [ + 2421, + 10689 + ], + [ + 6989, + 10660 + ], + [ + 8758, + 8885 + ], + [ + 736, + 9159 + ], + [ + 5371, + 6188 + ], + [ + 677, + 7798 + ], + [ + 2322, + 3513 + ], + [ + 4870, + 5640 + ], + [ + 3774, + 6003 + ], + [ + 4591, + 6225 + ], + [ + 3679, + 9149 + ], + [ + 761, + 3739 + ], + [ + 2383, + 11336 + ], + [ + 3536, + 7343 + ], + [ + 4797, + 6101 + ], + [ + 1008, + 10786 + ], + [ + 1122, + 1274 + ], + [ + 6827, + 8797 + ], + [ + 1498, + 3251 + ], + [ + 5331, + 10172 + ], + [ + 3583, + 6408 + ], + [ + 451, + 8394 + ], + [ + 744, + 5263 + ], + [ + 6972, + 9151 + ], + [ + 152, + 1187 + ], + [ + 2992, + 9350 + ], + [ + 6192, + 11440 + ], + [ + 343, + 10554 + ], + [ + 8275, + 11518 + ], + [ + 147, + 4226 + ], + [ + 5573, + 6672 + ], + [ + 6027, + 10814 + ], + [ + 5450, + 7770 + ], + [ + 245, + 10396 + ], + [ + 3781, + 6019 + ], + [ + 2170, + 9134 + ], + [ + 7555, + 11579 + ], + [ + 9761, + 9805 + ], + [ + 3412, + 10848 + ], + [ + 5788, + 7765 + ], + [ + 4028, + 6650 + ], + [ + 1571, + 8051 + ], + [ + 1820, + 4591 + ], + [ + 868, + 6588 + ], + [ + 9101, + 10698 + ], + [ + 290, + 6382 + ], + [ + 2719, + 2933 + ], + [ + 6457, + 9994 + ], + [ + 827, + 9970 + ], + [ + 1008, + 6598 + ], + [ + 5435, + 7088 + ], + [ + 5928, + 10404 + ], + [ + 7043, + 10091 + ], + [ + 1840, + 9380 + ], + [ + 1439, + 2620 + ], + [ + 6829, + 8819 + ], + [ + 5394, + 9716 + ], + [ + 9198, + 10981 + ], + [ + 312, + 1418 + ], + [ + 509, + 8348 + ], + [ + 352, + 8364 + ], + [ + 252, + 10412 + ], + [ + 7101, + 10446 + ], + [ + 7130, + 8932 + ], + [ + 7682, + 9445 + ], + [ + 5600, + 6559 + ], + [ + 5199, + 6215 + ], + [ + 32, + 5161 + ], + [ + 8244, + 11400 + ], + [ + 1176, + 9750 + ], + [ + 5066, + 6625 + ], + [ + 6473, + 10096 + ], + [ + 8400, + 8907 + ], + [ + 212, + 3816 + ], + [ + 3081, + 4803 + ], + [ + 3451, + 3582 + ], + [ + 2823, + 6265 + ], + [ + 2769, + 9412 + ], + [ + 7117, + 11329 + ], + [ + 1174, + 6644 + ], + [ + 8701, + 9774 + ], + [ + 481, + 9309 + ], + [ + 2101, + 9663 + ], + [ + 8634, + 11181 + ], + [ + 2660, + 11347 + ], + [ + 3648, + 9007 + ], + [ + 8009, + 11129 + ], + [ + 1202, + 8288 + ], + [ + 3083, + 7508 + ], + [ + 3050, + 5116 + ], + [ + 5052, + 5764 + ], + [ + 9152, + 9831 + ], + [ + 5115, + 10250 + ], + [ + 2372, + 11065 + ], + [ + 3619, + 4455 + ], + [ + 6912, + 8988 + ], + [ + 3385, + 4059 + ], + [ + 250, + 3118 + ], + [ + 10575, + 10802 + ], + [ + 370, + 7384 + ], + [ + 7277, + 10806 + ], + [ + 90, + 8498 + ], + [ + 5601, + 7110 + ], + [ + 871, + 9063 + ], + [ + 5835, + 9034 + ], + [ + 10881, + 11259 + ], + [ + 743, + 9817 + ], + [ + 3472, + 3654 + ], + [ + 1359, + 5619 + ], + [ + 8363, + 8974 + ], + [ + 2735, + 3361 + ], + [ + 1417, + 9007 + ], + [ + 1045, + 7149 + ], + [ + 4472, + 8464 + ], + [ + 6024, + 8152 + ], + [ + 5435, + 8511 + ], + [ + 2505, + 3838 + ], + [ + 4256, + 7119 + ], + [ + 1290, + 6953 + ], + [ + 204, + 5752 + ], + [ + 3072, + 9547 + ], + [ + 2375, + 7929 + ], + [ + 1592, + 10701 + ], + [ + 6105, + 6801 + ], + [ + 8562, + 8810 + ], + [ + 2223, + 8289 + ], + [ + 6982, + 7074 + ], + [ + 46, + 7795 + ], + [ + 2907, + 4003 + ], + [ + 3277, + 3536 + ], + [ + 355, + 9304 + ], + [ + 5665, + 9912 + ], + [ + 6816, + 9256 + ], + [ + 7287, + 11093 + ], + [ + 5912, + 9789 + ], + [ + 2493, + 9089 + ], + [ + 306, + 5655 + ], + [ + 3549, + 4409 + ], + [ + 5815, + 9856 + ], + [ + 5641, + 8737 + ], + [ + 2685, + 9259 + ], + [ + 5909, + 9491 + ], + [ + 442, + 8899 + ], + [ + 898, + 8950 + ], + [ + 10493, + 11096 + ], + [ + 1272, + 8602 + ], + [ + 830, + 1087 + ], + [ + 6153, + 6818 + ], + [ + 179, + 6984 + ], + [ + 637, + 1446 + ], + [ + 5179, + 6612 + ], + [ + 3604, + 5220 + ], + [ + 3542, + 7752 + ], + [ + 6465, + 7844 + ], + [ + 2938, + 8577 + ], + [ + 1293, + 6446 + ], + [ + 3877, + 10482 + ], + [ + 797, + 8494 + ], + [ + 319, + 6240 + ], + [ + 6151, + 9374 + ], + [ + 117, + 2319 + ], + [ + 5189, + 10683 + ], + [ + 6082, + 11489 + ], + [ + 9356, + 9556 + ], + [ + 1063, + 6923 + ], + [ + 2749, + 3393 + ], + [ + 825, + 7509 + ], + [ + 9634, + 10998 + ], + [ + 830, + 7853 + ], + [ + 7015, + 8661 + ], + [ + 3837, + 10302 + ], + [ + 843, + 8088 + ], + [ + 4712, + 7496 + ], + [ + 1966, + 5384 + ], + [ + 6630, + 11479 + ], + [ + 3268, + 11313 + ], + [ + 1036, + 11112 + ], + [ + 3832, + 6925 + ], + [ + 341, + 3905 + ], + [ + 4208, + 9656 + ], + [ + 2825, + 4327 + ], + [ + 2458, + 9229 + ], + [ + 1993, + 10590 + ], + [ + 3351, + 3619 + ], + [ + 3918, + 9328 + ], + [ + 3661, + 7982 + ], + [ + 2391, + 4220 + ], + [ + 708, + 5769 + ], + [ + 2160, + 8259 + ], + [ + 1487, + 5507 + ], + [ + 7987, + 11049 + ], + [ + 738, + 7863 + ], + [ + 7675, + 9242 + ], + [ + 5146, + 9831 + ], + [ + 1448, + 2546 + ], + [ + 6960, + 10428 + ], + [ + 334, + 6467 + ], + [ + 594, + 944 + ], + [ + 4530, + 4580 + ], + [ + 2976, + 7475 + ], + [ + 3747, + 7352 + ], + [ + 2842, + 5031 + ], + [ + 2348, + 7906 + ], + [ + 6480, + 10730 + ], + [ + 3555, + 4149 + ], + [ + 2966, + 10170 + ], + [ + 561, + 1935 + ], + [ + 6254, + 7943 + ], + [ + 4516, + 9785 + ], + [ + 5584, + 9626 + ], + [ + 223, + 5323 + ], + [ + 4861, + 6033 + ], + [ + 10859, + 11179 + ], + [ + 1375, + 7521 + ], + [ + 3079, + 4570 + ], + [ + 7184, + 8981 + ], + [ + 3476, + 8178 + ], + [ + 2954, + 9005 + ], + [ + 2305, + 10811 + ], + [ + 306, + 7428 + ], + [ + 1140, + 6873 + ], + [ + 6737, + 10921 + ], + [ + 2661, + 11412 + ], + [ + 4104, + 4714 + ], + [ + 148, + 9471 + ], + [ + 334, + 2279 + ], + [ + 5179, + 11418 + ], + [ + 6519, + 8749 + ], + [ + 605, + 6714 + ], + [ + 1890, + 9256 + ], + [ + 4304, + 10437 + ], + [ + 3127, + 3456 + ], + [ + 6239, + 9863 + ], + [ + 4116, + 4724 + ], + [ + 2008, + 7033 + ], + [ + 3209, + 5740 + ], + [ + 3525, + 9918 + ], + [ + 9540, + 10507 + ], + [ + 2534, + 6325 + ], + [ + 9939, + 10024 + ], + [ + 4404, + 4602 + ], + [ + 5459, + 10654 + ], + [ + 3399, + 5083 + ], + [ + 7819, + 8566 + ], + [ + 1747, + 5945 + ], + [ + 7419, + 11076 + ], + [ + 2022, + 7870 + ], + [ + 1686, + 7921 + ], + [ + 58, + 2007 + ], + [ + 6101, + 10279 + ], + [ + 655, + 9810 + ], + [ + 1178, + 5421 + ], + [ + 2267, + 10303 + ], + [ + 6439, + 10274 + ], + [ + 2136, + 5124 + ], + [ + 2006, + 9215 + ], + [ + 9521, + 11554 + ], + [ + 393, + 11503 + ], + [ + 2943, + 10293 + ], + [ + 4252, + 10223 + ], + [ + 4004, + 5957 + ], + [ + 3161, + 5268 + ], + [ + 1669, + 9795 + ], + [ + 3319, + 5854 + ], + [ + 5142, + 10731 + ], + [ + 1343, + 3394 + ], + [ + 1447, + 7881 + ], + [ + 819, + 4148 + ], + [ + 6600, + 10757 + ], + [ + 1097, + 9754 + ], + [ + 3277, + 9765 + ], + [ + 2809, + 7445 + ], + [ + 6513, + 11512 + ], + [ + 2905, + 7153 + ], + [ + 1683, + 9851 + ], + [ + 4243, + 8575 + ], + [ + 7311, + 9048 + ], + [ + 5351, + 11255 + ], + [ + 2677, + 10709 + ], + [ + 4607, + 7539 + ], + [ + 257, + 8959 + ], + [ + 713, + 9764 + ], + [ + 1838, + 10139 + ], + [ + 8558, + 11483 + ], + [ + 5853, + 9372 + ], + [ + 3797, + 5455 + ], + [ + 4108, + 9289 + ], + [ + 3206, + 11403 + ], + [ + 923, + 4097 + ], + [ + 6370, + 10830 + ], + [ + 840, + 2342 + ], + [ + 5597, + 8628 + ], + [ + 3317, + 11419 + ], + [ + 10, + 4544 + ], + [ + 3466, + 4345 + ], + [ + 3744, + 10705 + ], + [ + 1416, + 4380 + ], + [ + 4492, + 8124 + ], + [ + 9001, + 10898 + ], + [ + 9725, + 10929 + ], + [ + 3459, + 4305 + ], + [ + 1963, + 7932 + ], + [ + 967, + 3241 + ], + [ + 5302, + 10558 + ], + [ + 2799, + 5952 + ], + [ + 969, + 9703 + ], + [ + 5914, + 9624 + ], + [ + 7909, + 9101 + ], + [ + 4048, + 5050 + ], + [ + 997, + 2302 + ], + [ + 2959, + 9967 + ], + [ + 2049, + 7302 + ], + [ + 8148, + 8336 + ], + [ + 2040, + 3052 + ], + [ + 6372, + 6688 + ], + [ + 8235, + 10964 + ], + [ + 5054, + 6672 + ], + [ + 1785, + 2533 + ], + [ + 107, + 3672 + ], + [ + 1659, + 3360 + ], + [ + 8706, + 10549 + ], + [ + 4246, + 7667 + ], + [ + 2169, + 2873 + ], + [ + 8770, + 11473 + ], + [ + 7364, + 8604 + ], + [ + 2572, + 9679 + ], + [ + 3369, + 3607 + ], + [ + 5024, + 7180 + ], + [ + 10163, + 10350 + ], + [ + 6364, + 9429 + ], + [ + 4464, + 6025 + ], + [ + 1227, + 10469 + ], + [ + 4116, + 8725 + ], + [ + 5167, + 10117 + ], + [ + 2493, + 10325 + ], + [ + 2216, + 5321 + ], + [ + 4924, + 6949 + ], + [ + 9784, + 10704 + ], + [ + 3862, + 4644 + ], + [ + 10427, + 10581 + ], + [ + 7373, + 8316 + ], + [ + 5733, + 5775 + ], + [ + 532, + 6645 + ], + [ + 3584, + 5831 + ], + [ + 206, + 6660 + ], + [ + 6384, + 10431 + ], + [ + 7991, + 10580 + ], + [ + 3380, + 7529 + ], + [ + 6284, + 6817 + ], + [ + 3949, + 9901 + ], + [ + 1571, + 9905 + ], + [ + 4387, + 7094 + ], + [ + 3532, + 4136 + ], + [ + 5495, + 5610 + ], + [ + 4598, + 7314 + ], + [ + 3574, + 7745 + ], + [ + 8054, + 11279 + ], + [ + 2667, + 8761 + ], + [ + 354, + 2744 + ], + [ + 1880, + 8381 + ], + [ + 1575, + 3581 + ], + [ + 1503, + 2015 + ], + [ + 687, + 2395 + ], + [ + 542, + 6178 + ], + [ + 6209, + 10965 + ], + [ + 2813, + 5553 + ], + [ + 4953, + 7663 + ], + [ + 1541, + 1718 + ], + [ + 2214, + 4470 + ], + [ + 2631, + 9454 + ], + [ + 1091, + 4141 + ], + [ + 2933, + 6786 + ], + [ + 8833, + 10643 + ], + [ + 6760, + 8974 + ], + [ + 622, + 7985 + ], + [ + 7833, + 8435 + ], + [ + 4170, + 5123 + ], + [ + 5185, + 6858 + ], + [ + 150, + 8175 + ], + [ + 705, + 6707 + ], + [ + 2518, + 10866 + ], + [ + 3093, + 6667 + ], + [ + 2227, + 7684 + ], + [ + 2504, + 6272 + ], + [ + 1609, + 8803 + ], + [ + 3290, + 7181 + ], + [ + 4372, + 10892 + ], + [ + 825, + 1524 + ], + [ + 1907, + 5235 + ], + [ + 2712, + 3942 + ], + [ + 1407, + 10547 + ], + [ + 1212, + 7827 + ], + [ + 3059, + 10816 + ], + [ + 5115, + 9071 + ], + [ + 2497, + 8834 + ], + [ + 7401, + 8754 + ], + [ + 2702, + 5856 + ], + [ + 3581, + 6956 + ], + [ + 2852, + 5800 + ], + [ + 2766, + 4528 + ], + [ + 4466, + 7120 + ], + [ + 4529, + 10852 + ], + [ + 4410, + 9440 + ], + [ + 356, + 11410 + ], + [ + 5089, + 9728 + ], + [ + 6646, + 9760 + ], + [ + 9879, + 11209 + ], + [ + 7767, + 9612 + ], + [ + 3587, + 8999 + ], + [ + 1135, + 11498 + ], + [ + 2723, + 7433 + ], + [ + 5235, + 9149 + ], + [ + 3672, + 8548 + ], + [ + 6440, + 10981 + ], + [ + 4451, + 8286 + ], + [ + 7474, + 9740 + ], + [ + 2302, + 8342 + ], + [ + 8, + 7263 + ], + [ + 1333, + 8480 + ], + [ + 2585, + 3712 + ], + [ + 437, + 6622 + ], + [ + 8682, + 8837 + ], + [ + 4976, + 8107 + ], + [ + 714, + 5210 + ], + [ + 1920, + 11431 + ], + [ + 2926, + 7388 + ], + [ + 4937, + 11562 + ], + [ + 918, + 2761 + ], + [ + 4756, + 9272 + ], + [ + 295, + 3536 + ], + [ + 7464, + 8648 + ], + [ + 1141, + 8660 + ], + [ + 5999, + 11588 + ], + [ + 4184, + 5848 + ], + [ + 1357, + 9224 + ], + [ + 9328, + 9362 + ], + [ + 6484, + 10879 + ], + [ + 5061, + 6875 + ], + [ + 8258, + 9448 + ], + [ + 1540, + 11560 + ], + [ + 4965, + 9796 + ], + [ + 6582, + 10633 + ], + [ + 228, + 8326 + ], + [ + 3673, + 4585 + ], + [ + 572, + 1720 + ], + [ + 4892, + 8005 + ], + [ + 902, + 7489 + ], + [ + 6318, + 8493 + ], + [ + 4301, + 10920 + ], + [ + 3924, + 8718 + ], + [ + 4385, + 9113 + ], + [ + 1245, + 1412 + ], + [ + 1396, + 11407 + ], + [ + 7025, + 7796 + ], + [ + 9079, + 10886 + ], + [ + 6310, + 11234 + ], + [ + 1203, + 10985 + ], + [ + 2268, + 4893 + ], + [ + 6203, + 10613 + ], + [ + 2844, + 3548 + ], + [ + 6892, + 11589 + ], + [ + 2346, + 8933 + ], + [ + 2442, + 9395 + ], + [ + 2967, + 5833 + ], + [ + 7328, + 7955 + ], + [ + 3066, + 9222 + ], + [ + 2241, + 8358 + ], + [ + 186, + 7295 + ], + [ + 2314, + 7116 + ], + [ + 278, + 10267 + ], + [ + 2609, + 3277 + ], + [ + 2741, + 9812 + ], + [ + 10053, + 11068 + ], + [ + 2975, + 5320 + ], + [ + 1051, + 10190 + ], + [ + 3014, + 4494 + ], + [ + 7686, + 8952 + ], + [ + 1048, + 9138 + ], + [ + 5227, + 10280 + ], + [ + 2759, + 7358 + ], + [ + 4089, + 8165 + ], + [ + 7079, + 9479 + ], + [ + 329, + 756 + ], + [ + 4146, + 7918 + ], + [ + 792, + 5361 + ], + [ + 7005, + 7463 + ], + [ + 5482, + 6261 + ], + [ + 1318, + 4653 + ], + [ + 3204, + 4217 + ], + [ + 5951, + 11435 + ], + [ + 7561, + 8849 + ], + [ + 9868, + 10133 + ], + [ + 4773, + 11399 + ], + [ + 118, + 2414 + ], + [ + 1468, + 5351 + ], + [ + 7622, + 10256 + ], + [ + 4667, + 7216 + ], + [ + 3679, + 9556 + ], + [ + 3079, + 5619 + ], + [ + 4226, + 9725 + ], + [ + 4386, + 5476 + ], + [ + 4688, + 5060 + ], + [ + 7396, + 7442 + ], + [ + 9199, + 10913 + ], + [ + 6439, + 9095 + ], + [ + 3600, + 10202 + ], + [ + 4323, + 4373 + ], + [ + 5477, + 9650 + ], + [ + 6256, + 9388 + ], + [ + 1015, + 5941 + ], + [ + 10070, + 11371 + ], + [ + 9515, + 9806 + ], + [ + 6862, + 7885 + ], + [ + 8135, + 11164 + ], + [ + 2595, + 5398 + ], + [ + 790, + 4510 + ], + [ + 5022, + 10948 + ], + [ + 2804, + 8955 + ], + [ + 6890, + 9152 + ], + [ + 7540, + 10200 + ], + [ + 4028, + 7057 + ], + [ + 1158, + 6599 + ], + [ + 3747, + 10979 + ], + [ + 2185, + 3433 + ], + [ + 9490, + 10688 + ], + [ + 2026, + 4874 + ], + [ + 1647, + 6009 + ], + [ + 7034, + 9281 + ], + [ + 6562, + 9471 + ], + [ + 6441, + 11396 + ], + [ + 2864, + 2940 + ], + [ + 2673, + 6378 + ], + [ + 6162, + 6319 + ], + [ + 1948, + 6122 + ], + [ + 740, + 3992 + ], + [ + 4480, + 9968 + ], + [ + 5631, + 9312 + ], + [ + 4750, + 11549 + ], + [ + 3167, + 10296 + ], + [ + 930, + 10505 + ], + [ + 240, + 9304 + ], + [ + 6781, + 11437 + ], + [ + 3099, + 11101 + ], + [ + 11, + 3590 + ], + [ + 2414, + 10998 + ], + [ + 1696, + 8503 + ], + [ + 1474, + 3206 + ], + [ + 1818, + 7934 + ], + [ + 3156, + 8602 + ], + [ + 1069, + 5372 + ], + [ + 4775, + 10266 + ], + [ + 6857, + 8988 + ], + [ + 4959, + 6411 + ], + [ + 4907, + 6221 + ], + [ + 1949, + 10080 + ], + [ + 813, + 4628 + ], + [ + 2155, + 3540 + ], + [ + 2466, + 11538 + ], + [ + 1530, + 7652 + ], + [ + 9310, + 11228 + ], + [ + 2058, + 3607 + ], + [ + 2617, + 5291 + ], + [ + 906, + 10454 + ], + [ + 968, + 5670 + ], + [ + 3270, + 6610 + ], + [ + 2544, + 9916 + ], + [ + 8156, + 10832 + ], + [ + 273, + 4125 + ], + [ + 3768, + 8018 + ], + [ + 1428, + 6594 + ], + [ + 4798, + 11539 + ], + [ + 1209, + 11394 + ], + [ + 4824, + 10508 + ], + [ + 1020, + 2827 + ], + [ + 1606, + 8586 + ], + [ + 2662, + 4660 + ], + [ + 327, + 7744 + ], + [ + 5898, + 6407 + ], + [ + 144, + 2375 + ], + [ + 5837, + 8383 + ], + [ + 1411, + 5085 + ], + [ + 3441, + 7781 + ], + [ + 2909, + 7920 + ], + [ + 1541, + 4377 + ], + [ + 385, + 2437 + ], + [ + 4844, + 7346 + ], + [ + 4612, + 7777 + ], + [ + 1480, + 10517 + ], + [ + 2502, + 2843 + ], + [ + 3527, + 10184 + ], + [ + 4301, + 9578 + ], + [ + 7516, + 10448 + ], + [ + 3686, + 7962 + ], + [ + 2987, + 3265 + ], + [ + 4356, + 6252 + ], + [ + 8158, + 10854 + ], + [ + 935, + 8889 + ], + [ + 742, + 8494 + ], + [ + 2263, + 2453 + ], + [ + 2395, + 8988 + ], + [ + 284, + 1200 + ], + [ + 4134, + 4338 + ], + [ + 6348, + 9595 + ], + [ + 7905, + 9627 + ], + [ + 2673, + 4768 + ], + [ + 2953, + 7037 + ], + [ + 3385, + 6694 + ], + [ + 2638, + 5713 + ], + [ + 484, + 507 + ], + [ + 9709, + 10290 + ], + [ + 8248, + 9966 + ], + [ + 3004, + 7002 + ], + [ + 4867, + 11278 + ], + [ + 447, + 1379 + ], + [ + 2874, + 11093 + ], + [ + 5152, + 7475 + ], + [ + 5026, + 9056 + ], + [ + 2725, + 10970 + ], + [ + 6734, + 9257 + ], + [ + 764, + 10296 + ], + [ + 4269, + 10016 + ], + [ + 563, + 5876 + ], + [ + 3799, + 7623 + ], + [ + 6137, + 8220 + ], + [ + 7699, + 9350 + ], + [ + 2497, + 11493 + ], + [ + 5102, + 9990 + ], + [ + 6315, + 10212 + ], + [ + 9224, + 9844 + ], + [ + 346, + 10722 + ], + [ + 5604, + 11140 + ], + [ + 2314, + 6124 + ], + [ + 3577, + 5709 + ], + [ + 2983, + 4970 + ], + [ + 2053, + 5036 + ], + [ + 5382, + 9226 + ], + [ + 5946, + 11254 + ], + [ + 5375, + 8055 + ], + [ + 4002, + 8332 + ], + [ + 454, + 11194 + ], + [ + 3129, + 8178 + ], + [ + 3409, + 10447 + ], + [ + 5367, + 11577 + ], + [ + 401, + 10779 + ], + [ + 4914, + 11043 + ], + [ + 1765, + 4754 + ], + [ + 139, + 6837 + ], + [ + 691, + 934 + ], + [ + 3063, + 6777 + ], + [ + 1504, + 5918 + ], + [ + 5246, + 10469 + ], + [ + 7768, + 9463 + ], + [ + 2902, + 11555 + ], + [ + 918, + 9958 + ], + [ + 2819, + 3384 + ], + [ + 8417, + 11040 + ], + [ + 4857, + 5971 + ], + [ + 2095, + 6736 + ], + [ + 1554, + 5631 + ], + [ + 582, + 6252 + ], + [ + 6717, + 6943 + ], + [ + 1765, + 3599 + ], + [ + 4641, + 11419 + ], + [ + 4013, + 7686 + ], + [ + 2985, + 10627 + ], + [ + 1230, + 9856 + ], + [ + 645, + 6951 + ], + [ + 6801, + 8519 + ], + [ + 2974, + 10468 + ], + [ + 4661, + 5628 + ], + [ + 1982, + 8902 + ], + [ + 2653, + 4411 + ], + [ + 4994, + 10941 + ], + [ + 4717, + 5937 + ], + [ + 8643, + 8885 + ], + [ + 209, + 355 + ], + [ + 6525, + 10506 + ], + [ + 4992, + 8616 + ], + [ + 2168, + 10755 + ], + [ + 6394, + 7579 + ], + [ + 35, + 11344 + ], + [ + 9470, + 11323 + ], + [ + 509, + 10446 + ], + [ + 6703, + 8334 + ], + [ + 2436, + 2841 + ], + [ + 162, + 9584 + ], + [ + 8534, + 10820 + ], + [ + 228, + 11335 + ], + [ + 6596, + 11096 + ], + [ + 2654, + 7615 + ], + [ + 1310, + 8630 + ], + [ + 6444, + 10675 + ], + [ + 7397, + 9280 + ], + [ + 7278, + 7868 + ], + [ + 4439, + 8975 + ], + [ + 2072, + 11023 + ], + [ + 16, + 2942 + ], + [ + 642, + 5848 + ], + [ + 4224, + 8232 + ], + [ + 9224, + 10112 + ], + [ + 10010, + 11021 + ], + [ + 3216, + 5032 + ], + [ + 4907, + 8262 + ], + [ + 2158, + 9262 + ], + [ + 441, + 4811 + ], + [ + 6736, + 9921 + ], + [ + 5580, + 7981 + ], + [ + 2037, + 11187 + ], + [ + 1003, + 10176 + ], + [ + 9165, + 9882 + ], + [ + 2808, + 4648 + ], + [ + 476, + 7249 + ], + [ + 9808, + 10513 + ], + [ + 4615, + 10490 + ], + [ + 8662, + 9261 + ], + [ + 5083, + 10558 + ], + [ + 7437, + 7524 + ], + [ + 7906, + 10446 + ], + [ + 1521, + 8826 + ], + [ + 835, + 4334 + ], + [ + 8897, + 11006 + ], + [ + 2431, + 4294 + ], + [ + 7426, + 9994 + ], + [ + 1553, + 4550 + ], + [ + 1336, + 6013 + ], + [ + 8681, + 9661 + ], + [ + 2322, + 2846 + ], + [ + 5040, + 10080 + ], + [ + 176, + 8835 + ], + [ + 1575, + 8281 + ], + [ + 1446, + 3175 + ], + [ + 3065, + 10474 + ], + [ + 3528, + 5280 + ], + [ + 2917, + 8324 + ], + [ + 7796, + 11375 + ], + [ + 4742, + 9110 + ], + [ + 5769, + 6698 + ], + [ + 732, + 11352 + ], + [ + 161, + 8153 + ], + [ + 725, + 10181 + ], + [ + 5823, + 6180 + ], + [ + 2753, + 9798 + ], + [ + 3095, + 9535 + ], + [ + 9404, + 11345 + ], + [ + 2892, + 8452 + ], + [ + 593, + 7029 + ], + [ + 3329, + 8453 + ], + [ + 3435, + 9603 + ], + [ + 7105, + 8424 + ], + [ + 6847, + 9886 + ], + [ + 3865, + 9187 + ], + [ + 164, + 8801 + ], + [ + 6501, + 9249 + ], + [ + 1308, + 6974 + ], + [ + 2636, + 7708 + ], + [ + 11101, + 11387 + ], + [ + 3267, + 4542 + ], + [ + 7970, + 10565 + ], + [ + 6867, + 7505 + ], + [ + 10454, + 10987 + ], + [ + 1452, + 2939 + ], + [ + 5722, + 9861 + ], + [ + 2446, + 10967 + ], + [ + 5314, + 8346 + ], + [ + 2451, + 4895 + ], + [ + 4281, + 6025 + ], + [ + 960, + 5860 + ], + [ + 325, + 11536 + ], + [ + 4277, + 7037 + ], + [ + 1166, + 3484 + ], + [ + 2351, + 4664 + ], + [ + 1095, + 4772 + ], + [ + 167, + 7163 + ], + [ + 2500, + 7416 + ], + [ + 3649, + 6687 + ], + [ + 6264, + 9255 + ], + [ + 5292, + 9122 + ], + [ + 3466, + 3947 + ], + [ + 2151, + 9864 + ], + [ + 5998, + 7069 + ], + [ + 523, + 8868 + ], + [ + 488, + 5649 + ], + [ + 866, + 9207 + ], + [ + 2263, + 7072 + ], + [ + 10972, + 11111 + ], + [ + 1085, + 7036 + ], + [ + 6054, + 7351 + ], + [ + 1264, + 2837 + ], + [ + 5281, + 11565 + ], + [ + 758, + 4197 + ], + [ + 47, + 2873 + ], + [ + 766, + 1806 + ], + [ + 3309, + 5841 + ], + [ + 661, + 4264 + ], + [ + 3372, + 10327 + ], + [ + 1130, + 9438 + ], + [ + 1704, + 5738 + ], + [ + 6607, + 7685 + ], + [ + 2321, + 5148 + ], + [ + 2120, + 7144 + ], + [ + 7474, + 8024 + ], + [ + 2123, + 4409 + ], + [ + 1467, + 2792 + ], + [ + 2313, + 10922 + ], + [ + 61, + 2929 + ], + [ + 7980, + 9293 + ], + [ + 5172, + 10467 + ], + [ + 1738, + 7981 + ], + [ + 465, + 538 + ], + [ + 5196, + 8609 + ], + [ + 1190, + 9839 + ], + [ + 2026, + 10111 + ], + [ + 7129, + 7208 + ], + [ + 1559, + 9147 + ], + [ + 1855, + 5533 + ], + [ + 3238, + 4446 + ], + [ + 6467, + 11438 + ], + [ + 7336, + 7686 + ], + [ + 9514, + 11034 + ], + [ + 4507, + 7983 + ], + [ + 6587, + 10042 + ], + [ + 1702, + 2258 + ], + [ + 671, + 7180 + ], + [ + 1416, + 1672 + ], + [ + 6641, + 10278 + ], + [ + 679, + 5543 + ], + [ + 6527, + 9210 + ], + [ + 2749, + 6914 + ], + [ + 1317, + 5076 + ], + [ + 1906, + 2438 + ], + [ + 238, + 4265 + ], + [ + 389, + 10850 + ], + [ + 4706, + 7038 + ], + [ + 3126, + 9466 + ], + [ + 3016, + 4410 + ], + [ + 9717, + 10962 + ], + [ + 4892, + 6639 + ], + [ + 65, + 8659 + ], + [ + 6290, + 6614 + ], + [ + 4855, + 7511 + ], + [ + 128, + 6729 + ], + [ + 3077, + 5036 + ], + [ + 2669, + 9937 + ], + [ + 3442, + 3471 + ], + [ + 5255, + 8384 + ], + [ + 1889, + 9974 + ], + [ + 4537, + 5135 + ], + [ + 996, + 2752 + ], + [ + 1793, + 3850 + ], + [ + 1452, + 3557 + ], + [ + 4939, + 9087 + ], + [ + 832, + 1597 + ], + [ + 2070, + 5821 + ], + [ + 1509, + 7474 + ], + [ + 7919, + 10090 + ], + [ + 2409, + 8670 + ], + [ + 6979, + 9468 + ], + [ + 7861, + 10085 + ], + [ + 4241, + 11381 + ], + [ + 5552, + 7974 + ], + [ + 7854, + 8914 + ], + [ + 8470, + 11132 + ], + [ + 1820, + 1859 + ], + [ + 2369, + 2855 + ], + [ + 8072, + 10305 + ], + [ + 3184, + 8666 + ], + [ + 176, + 8998 + ], + [ + 3519, + 11396 + ], + [ + 1566, + 4194 + ], + [ + 4828, + 7162 + ], + [ + 7166, + 7759 + ], + [ + 2022, + 2747 + ], + [ + 2842, + 8902 + ], + [ + 5261, + 10427 + ], + [ + 442, + 1011 + ], + [ + 2114, + 4965 + ], + [ + 1348, + 6186 + ], + [ + 7781, + 10506 + ], + [ + 2805, + 9020 + ], + [ + 8180, + 10777 + ], + [ + 1440, + 9158 + ], + [ + 5480, + 6758 + ], + [ + 2610, + 8552 + ], + [ + 2452, + 4960 + ], + [ + 10309, + 10446 + ], + [ + 5385, + 9904 + ], + [ + 3509, + 10304 + ], + [ + 4331, + 7460 + ], + [ + 3818, + 5397 + ], + [ + 1514, + 3630 + ], + [ + 707, + 1844 + ], + [ + 4410, + 8692 + ], + [ + 850, + 7787 + ], + [ + 9628, + 9711 + ], + [ + 4251, + 7881 + ], + [ + 4373, + 6558 + ], + [ + 10221, + 10225 + ], + [ + 6274, + 7154 + ], + [ + 390, + 3830 + ], + [ + 3311, + 6505 + ], + [ + 1473, + 10395 + ], + [ + 3782, + 6090 + ], + [ + 5642, + 5931 + ], + [ + 5373, + 11368 + ], + [ + 1913, + 4251 + ], + [ + 786, + 7213 + ], + [ + 2587, + 9857 + ], + [ + 6728, + 10515 + ], + [ + 816, + 8553 + ], + [ + 2924, + 6244 + ], + [ + 5415, + 10089 + ], + [ + 2994, + 7737 + ], + [ + 3677, + 11177 + ], + [ + 10618, + 10800 + ], + [ + 2689, + 7101 + ], + [ + 5380, + 11034 + ], + [ + 5424, + 11306 + ], + [ + 7507, + 10630 + ], + [ + 6975, + 11523 + ], + [ + 839, + 6443 + ], + [ + 5666, + 7806 + ], + [ + 7686, + 9814 + ], + [ + 804, + 972 + ], + [ + 4821, + 9700 + ], + [ + 3534, + 11249 + ], + [ + 6834, + 10537 + ], + [ + 1920, + 10683 + ], + [ + 1245, + 11268 + ], + [ + 1109, + 11407 + ], + [ + 2470, + 8117 + ], + [ + 3187, + 4725 + ], + [ + 5025, + 10634 + ], + [ + 1601, + 8836 + ], + [ + 1539, + 7958 + ], + [ + 4366, + 4582 + ], + [ + 5897, + 6399 + ], + [ + 5952, + 10270 + ], + [ + 351, + 8732 + ], + [ + 2877, + 2964 + ], + [ + 6147, + 9957 + ], + [ + 512, + 7337 + ], + [ + 249, + 8455 + ], + [ + 1940, + 5269 + ], + [ + 2119, + 7486 + ], + [ + 2526, + 4612 + ], + [ + 3651, + 9151 + ], + [ + 650, + 5766 + ], + [ + 10388, + 10472 + ], + [ + 405, + 5935 + ], + [ + 403, + 2856 + ], + [ + 6323, + 8843 + ], + [ + 5160, + 5732 + ], + [ + 8712, + 9405 + ], + [ + 616, + 7286 + ], + [ + 5251, + 8479 + ], + [ + 6710, + 7976 + ], + [ + 7264, + 9316 + ], + [ + 3504, + 7569 + ], + [ + 2102, + 2190 + ], + [ + 7492, + 11395 + ], + [ + 646, + 2964 + ], + [ + 4811, + 7426 + ], + [ + 4780, + 5861 + ], + [ + 2745, + 2821 + ], + [ + 883, + 8569 + ], + [ + 8200, + 10169 + ], + [ + 2159, + 8359 + ], + [ + 9263, + 9666 + ], + [ + 3124, + 5069 + ], + [ + 2840, + 5310 + ], + [ + 1067, + 7343 + ], + [ + 855, + 9904 + ], + [ + 4169, + 6646 + ], + [ + 8258, + 11278 + ], + [ + 9321, + 10021 + ], + [ + 3246, + 7129 + ], + [ + 4605, + 9428 + ], + [ + 2427, + 4582 + ], + [ + 4166, + 6348 + ], + [ + 1846, + 10464 + ], + [ + 2304, + 5680 + ], + [ + 6342, + 8869 + ], + [ + 4014, + 6708 + ], + [ + 3580, + 9634 + ], + [ + 2860, + 6312 + ], + [ + 9580, + 10662 + ], + [ + 3790, + 10383 + ], + [ + 2730, + 11157 + ], + [ + 7905, + 9066 + ], + [ + 1355, + 9853 + ], + [ + 4164, + 5871 + ], + [ + 8854, + 10935 + ], + [ + 1693, + 9848 + ], + [ + 941, + 1353 + ], + [ + 164, + 8077 + ], + [ + 1313, + 6594 + ], + [ + 9352, + 11562 + ], + [ + 7855, + 11581 + ], + [ + 1217, + 10269 + ], + [ + 7139, + 9913 + ], + [ + 7507, + 7865 + ], + [ + 6328, + 11391 + ], + [ + 6919, + 11078 + ], + [ + 4985, + 8844 + ], + [ + 2741, + 11292 + ], + [ + 3386, + 8586 + ], + [ + 2090, + 10019 + ], + [ + 7343, + 10093 + ], + [ + 7615, + 8337 + ], + [ + 6448, + 8460 + ], + [ + 3513, + 7607 + ], + [ + 6632, + 11021 + ], + [ + 1703, + 2965 + ], + [ + 2055, + 7554 + ], + [ + 3884, + 5830 + ], + [ + 2141, + 6574 + ], + [ + 1774, + 5060 + ], + [ + 4594, + 7683 + ], + [ + 4432, + 6601 + ], + [ + 6739, + 7885 + ], + [ + 6897, + 9225 + ], + [ + 483, + 2703 + ], + [ + 3411, + 6549 + ], + [ + 3593, + 6031 + ], + [ + 4935, + 4943 + ], + [ + 1478, + 7169 + ], + [ + 3586, + 8243 + ], + [ + 348, + 3417 + ], + [ + 7269, + 11433 + ], + [ + 1228, + 9623 + ], + [ + 478, + 9125 + ], + [ + 6045, + 10298 + ], + [ + 9071, + 11269 + ], + [ + 537, + 9705 + ], + [ + 9943, + 11198 + ], + [ + 8720, + 10288 + ], + [ + 9305, + 10941 + ], + [ + 6693, + 11273 + ], + [ + 2128, + 8567 + ], + [ + 3076, + 9834 + ], + [ + 2241, + 6000 + ], + [ + 1401, + 8238 + ], + [ + 2526, + 8613 + ], + [ + 3046, + 4707 + ], + [ + 5294, + 8794 + ], + [ + 3484, + 8316 + ], + [ + 1237, + 7083 + ], + [ + 9702, + 10762 + ], + [ + 2200, + 9382 + ], + [ + 1362, + 1867 + ], + [ + 1582, + 4085 + ], + [ + 10329, + 10860 + ], + [ + 3066, + 8742 + ], + [ + 547, + 5855 + ], + [ + 2073, + 10738 + ], + [ + 141, + 4413 + ], + [ + 4447, + 6828 + ], + [ + 4010, + 10991 + ], + [ + 1240, + 3567 + ], + [ + 3980, + 8116 + ], + [ + 5434, + 11433 + ], + [ + 3782, + 8131 + ], + [ + 4064, + 11227 + ], + [ + 5580, + 11258 + ], + [ + 1755, + 9116 + ], + [ + 4072, + 11088 + ], + [ + 3536, + 4692 + ], + [ + 8268, + 9201 + ], + [ + 4829, + 6371 + ], + [ + 6458, + 8723 + ], + [ + 6197, + 9133 + ], + [ + 6945, + 7306 + ], + [ + 1902, + 8762 + ], + [ + 2373, + 8347 + ], + [ + 5886, + 8682 + ], + [ + 7386, + 8180 + ], + [ + 4943, + 10041 + ], + [ + 5134, + 7357 + ], + [ + 311, + 6113 + ], + [ + 4361, + 10817 + ], + [ + 4726, + 5088 + ], + [ + 5512, + 5997 + ], + [ + 4137, + 5447 + ], + [ + 5159, + 8353 + ], + [ + 7908, + 10736 + ], + [ + 3205, + 8096 + ], + [ + 488, + 10886 + ], + [ + 3413, + 8799 + ], + [ + 4070, + 6854 + ], + [ + 5224, + 6469 + ], + [ + 1516, + 4912 + ], + [ + 3202, + 7798 + ], + [ + 10297, + 10517 + ], + [ + 1851, + 11052 + ], + [ + 5187, + 6587 + ], + [ + 8177, + 11311 + ], + [ + 2764, + 7572 + ], + [ + 4968, + 4971 + ], + [ + 200, + 4188 + ], + [ + 1232, + 2120 + ], + [ + 3625, + 8840 + ], + [ + 666, + 3429 + ], + [ + 3960, + 9318 + ], + [ + 10353, + 10799 + ], + [ + 1250, + 6863 + ], + [ + 699, + 9204 + ], + [ + 3407, + 4416 + ], + [ + 2280, + 10384 + ], + [ + 4924, + 8055 + ], + [ + 6264, + 10304 + ], + [ + 8308, + 10454 + ], + [ + 2771, + 10621 + ], + [ + 3490, + 9554 + ], + [ + 7683, + 10402 + ], + [ + 6485, + 8960 + ], + [ + 2420, + 3224 + ], + [ + 9675, + 10362 + ], + [ + 1469, + 1659 + ], + [ + 814, + 10066 + ], + [ + 591, + 10960 + ], + [ + 2133, + 6550 + ], + [ + 10696, + 10764 + ], + [ + 4008, + 5171 + ], + [ + 670, + 3147 + ], + [ + 1363, + 7275 + ], + [ + 3255, + 10037 + ], + [ + 8268, + 10624 + ], + [ + 7050, + 7052 + ], + [ + 9505, + 11240 + ], + [ + 2569, + 10463 + ], + [ + 4983, + 5228 + ], + [ + 5963, + 9386 + ], + [ + 6173, + 10162 + ], + [ + 1507, + 3240 + ], + [ + 385, + 7300 + ], + [ + 1593, + 9430 + ], + [ + 2403, + 8481 + ], + [ + 8230, + 11271 + ], + [ + 2311, + 8892 + ], + [ + 1122, + 6812 + ], + [ + 2930, + 10627 + ], + [ + 8790, + 9393 + ], + [ + 1529, + 11108 + ], + [ + 810, + 5005 + ], + [ + 5108, + 7559 + ], + [ + 2869, + 6187 + ], + [ + 4077, + 6065 + ], + [ + 3825, + 11479 + ], + [ + 6404, + 8755 + ], + [ + 4795, + 5527 + ], + [ + 6916, + 10593 + ], + [ + 1744, + 2779 + ], + [ + 5464, + 7379 + ], + [ + 2332, + 3703 + ], + [ + 11113, + 11560 + ], + [ + 1416, + 2721 + ], + [ + 2285, + 3133 + ], + [ + 237, + 5493 + ], + [ + 330, + 1520 + ], + [ + 8485, + 10635 + ], + [ + 6049, + 7251 + ], + [ + 553, + 7419 + ], + [ + 5754, + 7303 + ], + [ + 2659, + 5037 + ], + [ + 4056, + 7066 + ], + [ + 7891, + 10650 + ], + [ + 19, + 1069 + ], + [ + 3682, + 5135 + ], + [ + 2190, + 9662 + ], + [ + 6431, + 6764 + ], + [ + 6863, + 7175 + ], + [ + 4185, + 9139 + ], + [ + 606, + 10436 + ], + [ + 3433, + 7060 + ], + [ + 749, + 3574 + ], + [ + 6411, + 8771 + ], + [ + 7911, + 8269 + ], + [ + 3026, + 6901 + ], + [ + 3581, + 4679 + ], + [ + 8183, + 9896 + ], + [ + 2995, + 7965 + ], + [ + 4612, + 8802 + ], + [ + 6410, + 7765 + ], + [ + 3863, + 6994 + ], + [ + 2464, + 7548 + ], + [ + 5126, + 6579 + ], + [ + 7094, + 8397 + ], + [ + 376, + 11263 + ], + [ + 2618, + 4982 + ], + [ + 1871, + 10417 + ], + [ + 2084, + 11464 + ], + [ + 1425, + 10330 + ], + [ + 1475, + 3277 + ], + [ + 3594, + 10926 + ], + [ + 6035, + 8992 + ], + [ + 1163, + 1470 + ], + [ + 2446, + 9601 + ], + [ + 2234, + 11408 + ], + [ + 4658, + 5363 + ], + [ + 7082, + 7232 + ], + [ + 2794, + 10284 + ], + [ + 8067, + 11010 + ], + [ + 482, + 11285 + ], + [ + 5052, + 7919 + ], + [ + 4733, + 9105 + ], + [ + 3112, + 11532 + ], + [ + 1, + 7979 + ], + [ + 6537, + 9768 + ], + [ + 3607, + 5095 + ], + [ + 2244, + 5306 + ], + [ + 1903, + 11429 + ], + [ + 7073, + 9748 + ], + [ + 4138, + 4731 + ], + [ + 9086, + 10585 + ], + [ + 4146, + 8756 + ], + [ + 9151, + 9482 + ], + [ + 7056, + 11272 + ], + [ + 1493, + 10218 + ], + [ + 7341, + 7469 + ], + [ + 4277, + 4516 + ], + [ + 1051, + 6840 + ], + [ + 7260, + 11452 + ], + [ + 2690, + 4992 + ], + [ + 608, + 6270 + ], + [ + 978, + 5049 + ], + [ + 8018, + 10313 + ], + [ + 195, + 3657 + ], + [ + 7734, + 10554 + ], + [ + 2029, + 3031 + ], + [ + 547, + 1830 + ], + [ + 3709, + 5348 + ], + [ + 3586, + 6446 + ], + [ + 848, + 8359 + ], + [ + 1126, + 1133 + ], + [ + 1222, + 8011 + ], + [ + 6253, + 9204 + ], + [ + 2896, + 9382 + ], + [ + 2169, + 2637 + ], + [ + 4763, + 7361 + ], + [ + 8739, + 9672 + ], + [ + 1115, + 6609 + ], + [ + 7658, + 8815 + ], + [ + 10798, + 10854 + ], + [ + 462, + 2257 + ], + [ + 7800, + 11150 + ], + [ + 3566, + 4639 + ], + [ + 9670, + 10181 + ], + [ + 3002, + 5240 + ], + [ + 1952, + 10866 + ], + [ + 3934, + 5974 + ], + [ + 5124, + 10908 + ], + [ + 2933, + 10738 + ], + [ + 8418, + 10381 + ], + [ + 6448, + 7736 + ], + [ + 3745, + 6452 + ], + [ + 1071, + 10070 + ], + [ + 787, + 3895 + ], + [ + 4460, + 8649 + ], + [ + 6135, + 6458 + ], + [ + 3417, + 4142 + ], + [ + 524, + 1980 + ], + [ + 183, + 1687 + ], + [ + 2151, + 3505 + ], + [ + 2077, + 5276 + ], + [ + 1431, + 10763 + ], + [ + 4762, + 9364 + ], + [ + 3048, + 5184 + ], + [ + 863, + 4829 + ], + [ + 6310, + 8152 + ], + [ + 775, + 2730 + ], + [ + 7492, + 9061 + ], + [ + 3822, + 8742 + ], + [ + 8298, + 10622 + ], + [ + 1698, + 5630 + ], + [ + 5273, + 6843 + ], + [ + 419, + 4788 + ], + [ + 3820, + 11298 + ], + [ + 2409, + 3921 + ], + [ + 5220, + 7182 + ], + [ + 3069, + 6411 + ], + [ + 4063, + 7269 + ], + [ + 3067, + 3332 + ], + [ + 37, + 1461 + ], + [ + 1064, + 4711 + ], + [ + 2034, + 8181 + ], + [ + 5153, + 9343 + ], + [ + 1445, + 7786 + ], + [ + 8040, + 10182 + ], + [ + 411, + 6775 + ], + [ + 221, + 235 + ], + [ + 1662, + 9706 + ], + [ + 2735, + 9167 + ], + [ + 4349, + 9733 + ], + [ + 3770, + 10780 + ], + [ + 18, + 3289 + ], + [ + 300, + 2221 + ], + [ + 4320, + 8214 + ], + [ + 428, + 11266 + ], + [ + 11035, + 11466 + ], + [ + 3485, + 4380 + ], + [ + 3781, + 7182 + ], + [ + 1399, + 11174 + ], + [ + 9040, + 11208 + ], + [ + 4907, + 11165 + ], + [ + 5406, + 5628 + ], + [ + 5333, + 6843 + ], + [ + 4211, + 10149 + ], + [ + 510, + 5599 + ], + [ + 2103, + 6042 + ], + [ + 1005, + 3326 + ], + [ + 6801, + 10967 + ], + [ + 9072, + 10342 + ], + [ + 3437, + 3558 + ], + [ + 11176, + 11297 + ], + [ + 2595, + 9887 + ], + [ + 8374, + 8499 + ], + [ + 6600, + 10684 + ], + [ + 3122, + 5617 + ], + [ + 2955, + 7197 + ], + [ + 1583, + 5410 + ], + [ + 3988, + 7983 + ], + [ + 5786, + 11110 + ], + [ + 3458, + 4785 + ], + [ + 4239, + 5350 + ], + [ + 8005, + 10295 + ], + [ + 273, + 3003 + ], + [ + 501, + 11498 + ], + [ + 8249, + 10655 + ], + [ + 3603, + 10801 + ], + [ + 7658, + 9433 + ], + [ + 5036, + 9077 + ], + [ + 6801, + 9812 + ], + [ + 188, + 10220 + ], + [ + 1104, + 6314 + ], + [ + 574, + 3116 + ], + [ + 5805, + 11510 + ], + [ + 521, + 3455 + ], + [ + 7045, + 9391 + ], + [ + 1195, + 9061 + ], + [ + 2124, + 6114 + ], + [ + 4429, + 10735 + ], + [ + 322, + 5497 + ], + [ + 5642, + 6793 + ], + [ + 3842, + 7003 + ], + [ + 379, + 6031 + ], + [ + 4991, + 5520 + ], + [ + 4277, + 4679 + ], + [ + 1448, + 6474 + ], + [ + 4034, + 7173 + ], + [ + 3748, + 10751 + ], + [ + 7693, + 11497 + ], + [ + 5487, + 6855 + ], + [ + 3675, + 5550 + ], + [ + 2491, + 7978 + ], + [ + 210, + 1499 + ], + [ + 6813, + 10172 + ], + [ + 2515, + 6120 + ], + [ + 8194, + 8258 + ], + [ + 2583, + 10950 + ], + [ + 3302, + 9883 + ], + [ + 147, + 396 + ], + [ + 3261, + 3466 + ], + [ + 4291, + 11151 + ], + [ + 7620, + 8925 + ], + [ + 6408, + 9305 + ], + [ + 8024, + 10671 + ], + [ + 3103, + 8892 + ], + [ + 5214, + 10264 + ], + [ + 5993, + 10002 + ], + [ + 5807, + 11532 + ], + [ + 912, + 8722 + ], + [ + 4403, + 5326 + ], + [ + 757, + 5401 + ], + [ + 8286, + 10856 + ], + [ + 10622, + 11380 + ], + [ + 164, + 7516 + ], + [ + 2282, + 5895 + ], + [ + 8448, + 8905 + ], + [ + 3338, + 8385 + ], + [ + 661, + 1906 + ], + [ + 1226, + 7542 + ], + [ + 7139, + 9352 + ], + [ + 66, + 3948 + ], + [ + 9305, + 11185 + ], + [ + 3856, + 7035 + ], + [ + 4800, + 9284 + ], + [ + 9703, + 11231 + ], + [ + 620, + 2255 + ], + [ + 1585, + 4627 + ], + [ + 2022, + 5382 + ], + [ + 5628, + 8160 + ], + [ + 6849, + 8997 + ], + [ + 7178, + 7775 + ], + [ + 4660, + 11152 + ], + [ + 740, + 9904 + ], + [ + 11016, + 11253 + ], + [ + 5741, + 8976 + ], + [ + 2456, + 10720 + ], + [ + 3031, + 6521 + ], + [ + 2870, + 9047 + ], + [ + 4181, + 5640 + ], + [ + 6667, + 9141 + ], + [ + 550, + 6747 + ], + [ + 6171, + 11189 + ], + [ + 6078, + 8746 + ], + [ + 4457, + 4757 + ], + [ + 721, + 7568 + ], + [ + 9012, + 10128 + ], + [ + 2071, + 10505 + ], + [ + 1058, + 11125 + ], + [ + 4172, + 7025 + ], + [ + 5395, + 8689 + ], + [ + 192, + 7978 + ], + [ + 3050, + 4669 + ], + [ + 4426, + 8827 + ], + [ + 3362, + 4941 + ], + [ + 3026, + 9910 + ], + [ + 2365, + 7195 + ], + [ + 2112, + 9755 + ], + [ + 713, + 10309 + ], + [ + 6434, + 8916 + ], + [ + 5431, + 10224 + ], + [ + 3256, + 4895 + ], + [ + 3295, + 10485 + ], + [ + 6003, + 9861 + ], + [ + 1073, + 4586 + ], + [ + 4682, + 9547 + ], + [ + 7, + 11207 + ], + [ + 2505, + 3391 + ], + [ + 2775, + 11388 + ], + [ + 874, + 4376 + ], + [ + 6484, + 9383 + ], + [ + 2590, + 8602 + ], + [ + 319, + 3565 + ], + [ + 3253, + 10609 + ], + [ + 2780, + 8699 + ], + [ + 244, + 947 + ], + [ + 1212, + 7754 + ], + [ + 4233, + 7627 + ], + [ + 1864, + 5465 + ], + [ + 2646, + 8884 + ], + [ + 6562, + 10390 + ], + [ + 1359, + 10433 + ], + [ + 8996, + 11449 + ], + [ + 5905, + 11554 + ], + [ + 2075, + 2652 + ], + [ + 681, + 3550 + ], + [ + 4320, + 7222 + ], + [ + 3855, + 11589 + ], + [ + 2754, + 9356 + ], + [ + 2105, + 11162 + ], + [ + 5880, + 7525 + ], + [ + 3230, + 9285 + ], + [ + 1205, + 6933 + ], + [ + 2321, + 3058 + ], + [ + 198, + 4335 + ], + [ + 5301, + 7094 + ], + [ + 1892, + 7082 + ], + [ + 1138, + 8340 + ], + [ + 5157, + 7315 + ], + [ + 10559, + 10895 + ], + [ + 4559, + 9840 + ], + [ + 9031, + 9349 + ], + [ + 1034, + 1574 + ], + [ + 4115, + 5662 + ], + [ + 4863, + 10251 + ], + [ + 8223, + 10344 + ], + [ + 3249, + 3269 + ], + [ + 1864, + 7693 + ], + [ + 5795, + 10985 + ], + [ + 8196, + 8898 + ], + [ + 2487, + 10301 + ], + [ + 7122, + 11494 + ], + [ + 8829, + 8841 + ], + [ + 7029, + 9051 + ], + [ + 5129, + 11309 + ], + [ + 5476, + 9138 + ], + [ + 5748, + 7382 + ], + [ + 82, + 5449 + ], + [ + 1276, + 1457 + ], + [ + 714, + 11553 + ], + [ + 7710, + 8631 + ], + [ + 6366, + 9646 + ], + [ + 4219, + 8994 + ], + [ + 3555, + 9768 + ], + [ + 4305, + 11020 + ], + [ + 1786, + 5127 + ], + [ + 2373, + 2443 + ], + [ + 8699, + 9118 + ], + [ + 4241, + 7063 + ], + [ + 10728, + 11589 + ], + [ + 5773, + 8728 + ], + [ + 1346, + 8238 + ], + [ + 6046, + 10580 + ], + [ + 5731, + 9256 + ], + [ + 2460, + 4290 + ], + [ + 1990, + 5307 + ], + [ + 3891, + 5903 + ], + [ + 1192, + 11154 + ], + [ + 1536, + 10964 + ], + [ + 4397, + 7172 + ], + [ + 1749, + 5595 + ], + [ + 2838, + 4061 + ], + [ + 7214, + 7245 + ], + [ + 7052, + 8415 + ], + [ + 7716, + 8395 + ], + [ + 2330, + 8731 + ], + [ + 3942, + 8470 + ], + [ + 9821, + 11450 + ], + [ + 9480, + 11157 + ], + [ + 10229, + 10686 + ], + [ + 2221, + 10666 + ], + [ + 9903, + 10701 + ], + [ + 5956, + 7630 + ], + [ + 8762, + 9793 + ], + [ + 3179, + 3199 + ], + [ + 2277, + 10975 + ], + [ + 1666, + 2685 + ], + [ + 8510, + 8791 + ], + [ + 313, + 5866 + ], + [ + 1242, + 6329 + ], + [ + 6417, + 11408 + ], + [ + 1374, + 8700 + ], + [ + 1899, + 5138 + ], + [ + 1532, + 10040 + ], + [ + 6456, + 11336 + ], + [ + 9061, + 9833 + ], + [ + 3457, + 8778 + ], + [ + 1373, + 9229 + ], + [ + 3572, + 6284 + ], + [ + 96, + 4296 + ], + [ + 5541, + 10956 + ], + [ + 211, + 8972 + ], + [ + 6258, + 7564 + ], + [ + 1614, + 2121 + ], + [ + 3536, + 6977 + ], + [ + 1789, + 10231 + ], + [ + 87, + 7566 + ], + [ + 5679, + 7106 + ], + [ + 2910, + 7454 + ], + [ + 8851, + 11312 + ], + [ + 2481, + 4308 + ], + [ + 1600, + 6545 + ], + [ + 3928, + 6454 + ], + [ + 5619, + 9684 + ], + [ + 6950, + 7683 + ], + [ + 4178, + 10766 + ], + [ + 4209, + 5915 + ], + [ + 811, + 3086 + ], + [ + 5289, + 6547 + ], + [ + 3678, + 9662 + ], + [ + 3826, + 9560 + ], + [ + 2336, + 4334 + ], + [ + 2675, + 3800 + ], + [ + 3055, + 4021 + ], + [ + 71, + 8911 + ], + [ + 1866, + 1941 + ], + [ + 5606, + 5665 + ], + [ + 2796, + 5258 + ], + [ + 2587, + 11500 + ], + [ + 8156, + 9336 + ], + [ + 5470, + 11439 + ], + [ + 3851, + 8277 + ], + [ + 678, + 3846 + ], + [ + 1706, + 10704 + ], + [ + 6580, + 7749 + ], + [ + 7700, + 7780 + ], + [ + 3254, + 7240 + ], + [ + 3627, + 5536 + ], + [ + 2479, + 10627 + ], + [ + 2854, + 9750 + ], + [ + 4212, + 5408 + ], + [ + 1409, + 6926 + ], + [ + 248, + 478 + ], + [ + 4112, + 8210 + ], + [ + 3721, + 8554 + ], + [ + 70, + 8285 + ], + [ + 6859, + 7514 + ], + [ + 1064, + 9143 + ], + [ + 2426, + 8707 + ], + [ + 1753, + 3703 + ], + [ + 2589, + 3975 + ], + [ + 3826, + 8755 + ], + [ + 2742, + 4971 + ], + [ + 3027, + 7584 + ], + [ + 2955, + 6018 + ], + [ + 6263, + 9331 + ], + [ + 1115, + 9081 + ], + [ + 2651, + 8236 + ], + [ + 492, + 3440 + ], + [ + 1643, + 2784 + ], + [ + 6961, + 9669 + ], + [ + 3767, + 10777 + ], + [ + 6529, + 7760 + ], + [ + 679, + 3266 + ], + [ + 9015, + 10507 + ], + [ + 28, + 8409 + ], + [ + 2447, + 9934 + ], + [ + 4412, + 5819 + ], + [ + 186, + 8995 + ], + [ + 805, + 5068 + ], + [ + 6467, + 9511 + ], + [ + 3714, + 10392 + ], + [ + 3667, + 10546 + ], + [ + 3440, + 11321 + ], + [ + 5499, + 6841 + ], + [ + 4595, + 11538 + ], + [ + 101, + 9826 + ], + [ + 937, + 10098 + ], + [ + 2067, + 10817 + ], + [ + 1969, + 7276 + ], + [ + 1372, + 2856 + ], + [ + 1654, + 1788 + ], + [ + 286, + 8825 + ], + [ + 2590, + 3422 + ], + [ + 72, + 7553 + ], + [ + 5450, + 8827 + ], + [ + 1649, + 11243 + ], + [ + 5978, + 8946 + ], + [ + 1396, + 4381 + ], + [ + 6598, + 7873 + ], + [ + 1737, + 3893 + ], + [ + 7276, + 7936 + ], + [ + 1837, + 5228 + ], + [ + 899, + 11095 + ], + [ + 1546, + 8462 + ], + [ + 5336, + 7385 + ], + [ + 1824, + 3488 + ], + [ + 7949, + 9907 + ], + [ + 8988, + 9010 + ], + [ + 12, + 2183 + ], + [ + 2226, + 7440 + ], + [ + 1949, + 2436 + ], + [ + 453, + 9473 + ], + [ + 3128, + 9463 + ], + [ + 1481, + 9915 + ], + [ + 5392, + 11077 + ], + [ + 2811, + 7312 + ], + [ + 1901, + 8811 + ], + [ + 2651, + 2893 + ], + [ + 6083, + 8716 + ], + [ + 816, + 10464 + ], + [ + 3711, + 6256 + ], + [ + 8819, + 9359 + ], + [ + 2235, + 4900 + ], + [ + 2526, + 10711 + ], + [ + 991, + 5742 + ], + [ + 440, + 8837 + ], + [ + 7346, + 10903 + ], + [ + 3177, + 8951 + ], + [ + 2893, + 9192 + ], + [ + 2361, + 10085 + ], + [ + 7435, + 7942 + ], + [ + 3066, + 10840 + ], + [ + 143, + 922 + ], + [ + 4074, + 4214 + ], + [ + 522, + 9586 + ], + [ + 5489, + 6822 + ], + [ + 7761, + 9805 + ], + [ + 1943, + 7478 + ], + [ + 195, + 3714 + ], + [ + 1695, + 3966 + ], + [ + 7646, + 8512 + ], + [ + 8945, + 10760 + ], + [ + 3649, + 7606 + ], + [ + 8108, + 10263 + ], + [ + 5959, + 6155 + ], + [ + 3213, + 7453 + ], + [ + 4522, + 10389 + ], + [ + 3715, + 8603 + ], + [ + 1782, + 9223 + ], + [ + 7410, + 8420 + ], + [ + 7162, + 11324 + ], + [ + 3081, + 11471 + ], + [ + 469, + 3135 + ], + [ + 6157, + 8799 + ], + [ + 529, + 3186 + ], + [ + 5978, + 7336 + ], + [ + 7440, + 10514 + ], + [ + 1461, + 10336 + ], + [ + 3546, + 6323 + ], + [ + 86, + 2616 + ], + [ + 1209, + 6328 + ], + [ + 2301, + 10727 + ], + [ + 1393, + 2473 + ], + [ + 434, + 9715 + ], + [ + 1735, + 5620 + ], + [ + 9866, + 10177 + ], + [ + 10666, + 10792 + ], + [ + 5969, + 6469 + ], + [ + 1459, + 4224 + ], + [ + 4598, + 8290 + ], + [ + 7836, + 10864 + ], + [ + 4058, + 4404 + ], + [ + 1047, + 5219 + ], + [ + 2789, + 4250 + ], + [ + 506, + 8278 + ], + [ + 2539, + 4075 + ], + [ + 2157, + 7945 + ], + [ + 2162, + 8289 + ], + [ + 5209, + 7131 + ], + [ + 1718, + 4111 + ], + [ + 1869, + 4280 + ], + [ + 1129, + 4470 + ], + [ + 9783, + 10300 + ], + [ + 3470, + 4584 + ], + [ + 1472, + 4055 + ], + [ + 6079, + 10370 + ], + [ + 1808, + 9639 + ], + [ + 10423, + 10633 + ], + [ + 2584, + 9860 + ], + [ + 87, + 2036 + ], + [ + 6043, + 6926 + ], + [ + 1841, + 8998 + ], + [ + 4136, + 6515 + ], + [ + 925, + 5764 + ], + [ + 5001, + 5273 + ], + [ + 416, + 1164 + ], + [ + 914, + 11240 + ], + [ + 3942, + 5868 + ], + [ + 3319, + 6643 + ], + [ + 3191, + 7397 + ], + [ + 1327, + 10066 + ], + [ + 9257, + 10203 + ], + [ + 422, + 1329 + ], + [ + 128, + 882 + ], + [ + 7008, + 8897 + ], + [ + 819, + 4937 + ], + [ + 595, + 9393 + ], + [ + 4738, + 10124 + ], + [ + 127, + 7827 + ], + [ + 6013, + 7814 + ], + [ + 3706, + 6530 + ], + [ + 8468, + 8996 + ], + [ + 1775, + 3059 + ], + [ + 7855, + 10459 + ], + [ + 6821, + 10202 + ], + [ + 5042, + 11289 + ], + [ + 2559, + 7305 + ], + [ + 5164, + 5802 + ], + [ + 3584, + 8230 + ], + [ + 3799, + 5940 + ], + [ + 86, + 4039 + ], + [ + 3896, + 9256 + ], + [ + 2396, + 3342 + ], + [ + 5999, + 6603 + ], + [ + 1771, + 3290 + ], + [ + 1869, + 3825 + ], + [ + 4966, + 9200 + ], + [ + 5902, + 6670 + ], + [ + 554, + 9742 + ], + [ + 9047, + 9053 + ], + [ + 6531, + 9093 + ], + [ + 2897, + 10683 + ], + [ + 7931, + 9141 + ], + [ + 273, + 832 + ], + [ + 553, + 9517 + ], + [ + 1396, + 10960 + ], + [ + 217, + 10322 + ], + [ + 3725, + 3897 + ], + [ + 2410, + 2644 + ], + [ + 3913, + 6577 + ], + [ + 8846, + 11399 + ], + [ + 6977, + 9560 + ], + [ + 385, + 2177 + ], + [ + 7260, + 9094 + ], + [ + 1527, + 5939 + ], + [ + 4281, + 7912 + ], + [ + 2658, + 7260 + ], + [ + 347, + 10738 + ], + [ + 3836, + 11433 + ], + [ + 2368, + 9938 + ], + [ + 6074, + 7662 + ], + [ + 8159, + 10819 + ], + [ + 2894, + 9230 + ], + [ + 4630, + 11479 + ], + [ + 2825, + 11345 + ], + [ + 435, + 8306 + ], + [ + 831, + 7525 + ], + [ + 2825, + 8312 + ], + [ + 1359, + 7644 + ], + [ + 2068, + 5889 + ], + [ + 7298, + 10675 + ], + [ + 4094, + 11095 + ], + [ + 1614, + 11546 + ], + [ + 1193, + 5662 + ], + [ + 733, + 7367 + ], + [ + 7821, + 9669 + ], + [ + 971, + 3748 + ], + [ + 1041, + 8651 + ], + [ + 666, + 3112 + ], + [ + 2875, + 8025 + ], + [ + 6611, + 10095 + ], + [ + 8696, + 10246 + ], + [ + 6036, + 7154 + ], + [ + 291, + 956 + ], + [ + 2159, + 4822 + ], + [ + 3248, + 9704 + ], + [ + 9344, + 11221 + ], + [ + 844, + 4323 + ], + [ + 1370, + 3615 + ], + [ + 9742, + 11267 + ], + [ + 4924, + 11121 + ], + [ + 3018, + 3765 + ], + [ + 2862, + 6635 + ], + [ + 4570, + 6836 + ], + [ + 7066, + 11025 + ], + [ + 2379, + 8918 + ], + [ + 1198, + 5201 + ], + [ + 7144, + 9403 + ], + [ + 3498, + 9478 + ], + [ + 7357, + 10450 + ], + [ + 977, + 2758 + ], + [ + 1467, + 6557 + ], + [ + 293, + 10427 + ], + [ + 5114, + 10090 + ], + [ + 102, + 279 + ], + [ + 910, + 11335 + ], + [ + 6832, + 10979 + ], + [ + 3585, + 9073 + ], + [ + 750, + 4637 + ], + [ + 2142, + 2158 + ], + [ + 727, + 9349 + ], + [ + 2613, + 8159 + ], + [ + 2611, + 11496 + ], + [ + 1874, + 11203 + ], + [ + 3669, + 4233 + ], + [ + 3056, + 5696 + ], + [ + 3515, + 10182 + ], + [ + 2261, + 7707 + ], + [ + 4203, + 7550 + ], + [ + 857, + 1501 + ], + [ + 2298, + 3802 + ], + [ + 8770, + 10302 + ], + [ + 6347, + 11287 + ], + [ + 4245, + 6271 + ], + [ + 2787, + 10382 + ], + [ + 757, + 1270 + ], + [ + 7461, + 10749 + ], + [ + 2201, + 9504 + ], + [ + 7758, + 9989 + ], + [ + 8508, + 8989 + ], + [ + 1354, + 2657 + ], + [ + 5082, + 7118 + ], + [ + 2062, + 3683 + ], + [ + 976, + 8898 + ], + [ + 8197, + 10790 + ], + [ + 7383, + 7833 + ], + [ + 5084, + 10574 + ], + [ + 4640, + 9402 + ], + [ + 4948, + 7303 + ], + [ + 6360, + 11118 + ], + [ + 6143, + 6919 + ], + [ + 6948, + 11288 + ], + [ + 6198, + 10790 + ], + [ + 2060, + 10403 + ], + [ + 5420, + 9742 + ], + [ + 995, + 10079 + ], + [ + 6352, + 10476 + ], + [ + 7432, + 11108 + ], + [ + 11473, + 11562 + ], + [ + 1516, + 8246 + ], + [ + 549, + 9211 + ], + [ + 3926, + 11163 + ], + [ + 8986, + 10842 + ], + [ + 9015, + 9328 + ], + [ + 3256, + 11368 + ], + [ + 4684, + 9300 + ], + [ + 4995, + 6718 + ], + [ + 1082, + 8893 + ], + [ + 7052, + 11237 + ], + [ + 1574, + 2939 + ], + [ + 1950, + 11332 + ], + [ + 2320, + 3695 + ], + [ + 1477, + 3006 + ], + [ + 2282, + 7375 + ], + [ + 3677, + 9331 + ], + [ + 4406, + 9706 + ], + [ + 2958, + 3982 + ], + [ + 845, + 5947 + ], + [ + 5245, + 7243 + ], + [ + 1195, + 6703 + ], + [ + 4839, + 6555 + ], + [ + 723, + 9899 + ], + [ + 3684, + 7469 + ], + [ + 2898, + 3150 + ], + [ + 3495, + 10953 + ], + [ + 5202, + 7546 + ], + [ + 6795, + 10241 + ], + [ + 1250, + 4131 + ], + [ + 3357, + 3849 + ], + [ + 7118, + 8450 + ], + [ + 177, + 3165 + ], + [ + 6195, + 9687 + ], + [ + 6995, + 9548 + ], + [ + 5193, + 6679 + ], + [ + 6862, + 7706 + ], + [ + 525, + 3848 + ], + [ + 5347, + 10529 + ], + [ + 827, + 9848 + ], + [ + 82, + 9694 + ], + [ + 6522, + 11021 + ], + [ + 6778, + 8732 + ], + [ + 3170, + 4373 + ], + [ + 424, + 6425 + ], + [ + 1885, + 6749 + ], + [ + 2669, + 6831 + ], + [ + 4099, + 5590 + ], + [ + 10069, + 10186 + ], + [ + 6333, + 11499 + ], + [ + 705, + 5886 + ], + [ + 7212, + 8435 + ], + [ + 2215, + 5348 + ], + [ + 7051, + 10961 + ], + [ + 1155, + 6122 + ], + [ + 3961, + 8285 + ], + [ + 3006, + 6601 + ], + [ + 845, + 5142 + ], + [ + 5392, + 9898 + ], + [ + 4559, + 9897 + ], + [ + 1593, + 9731 + ], + [ + 1782, + 5466 + ], + [ + 784, + 7118 + ], + [ + 3363, + 4394 + ], + [ + 7041, + 9492 + ], + [ + 1028, + 1062 + ], + [ + 1662, + 10999 + ], + [ + 8227, + 10520 + ], + [ + 3301, + 6899 + ], + [ + 3115, + 3511 + ], + [ + 1036, + 10722 + ], + [ + 3540, + 9167 + ], + [ + 2136, + 2961 + ], + [ + 5251, + 6633 + ], + [ + 7028, + 11135 + ], + [ + 278, + 2412 + ], + [ + 2040, + 5882 + ], + [ + 1761, + 6467 + ], + [ + 3884, + 5944 + ], + [ + 1195, + 1360 + ], + [ + 5100, + 9847 + ], + [ + 6937, + 8738 + ], + [ + 6562, + 6609 + ], + [ + 4499, + 7937 + ], + [ + 10482, + 11240 + ], + [ + 5646, + 6381 + ], + [ + 1766, + 4532 + ], + [ + 4159, + 11252 + ], + [ + 3973, + 5612 + ], + [ + 549, + 4568 + ], + [ + 7240, + 9678 + ], + [ + 908, + 4686 + ], + [ + 1104, + 2346 + ], + [ + 1534, + 8346 + ], + [ + 3808, + 7238 + ], + [ + 3283, + 4384 + ], + [ + 4936, + 11294 + ], + [ + 5368, + 10951 + ], + [ + 4637, + 10503 + ], + [ + 3398, + 9060 + ], + [ + 7202, + 10325 + ], + [ + 3955, + 9917 + ], + [ + 2902, + 4692 + ], + [ + 5605, + 10140 + ], + [ + 2563, + 5226 + ], + [ + 1338, + 7653 + ], + [ + 6110, + 11561 + ], + [ + 6982, + 11490 + ], + [ + 1629, + 7802 + ], + [ + 4425, + 9277 + ], + [ + 906, + 10625 + ], + [ + 931, + 5959 + ], + [ + 9895, + 11271 + ], + [ + 143, + 8387 + ], + [ + 7090, + 11208 + ], + [ + 4382, + 9580 + ], + [ + 3881, + 5622 + ], + [ + 729, + 2068 + ], + [ + 5126, + 10263 + ], + [ + 9207, + 10116 + ], + [ + 2127, + 7705 + ], + [ + 7892, + 9617 + ], + [ + 6030, + 8949 + ], + [ + 5933, + 9016 + ], + [ + 195, + 4763 + ], + [ + 8257, + 11435 + ], + [ + 4623, + 8861 + ], + [ + 3527, + 6972 + ], + [ + 3057, + 10995 + ], + [ + 1973, + 10621 + ], + [ + 2573, + 8142 + ], + [ + 7669, + 8232 + ], + [ + 4995, + 7686 + ], + [ + 4608, + 10458 + ], + [ + 1220, + 4907 + ], + [ + 5175, + 10505 + ], + [ + 6348, + 9416 + ], + [ + 154, + 5112 + ], + [ + 152, + 8449 + ], + [ + 224, + 10769 + ], + [ + 6698, + 10926 + ], + [ + 4511, + 8246 + ], + [ + 4695, + 10053 + ], + [ + 5409, + 9396 + ], + [ + 4109, + 9929 + ], + [ + 6101, + 9889 + ], + [ + 4324, + 5387 + ], + [ + 1333, + 6854 + ], + [ + 2109, + 2157 + ], + [ + 3413, + 8913 + ], + [ + 1730, + 9708 + ], + [ + 3502, + 8204 + ], + [ + 1012, + 7213 + ], + [ + 1413, + 8311 + ], + [ + 4936, + 9334 + ], + [ + 788, + 8259 + ], + [ + 917, + 3943 + ], + [ + 6668, + 7677 + ], + [ + 228, + 9733 + ], + [ + 2690, + 8676 + ], + [ + 3645, + 3944 + ], + [ + 8355, + 10384 + ], + [ + 1564, + 8076 + ], + [ + 944, + 9122 + ], + [ + 1873, + 9585 + ], + [ + 1159, + 3826 + ], + [ + 746, + 1967 + ], + [ + 2893, + 5248 + ], + [ + 8620, + 10840 + ], + [ + 1709, + 2014 + ], + [ + 6189, + 7800 + ], + [ + 2616, + 10043 + ], + [ + 1955, + 10334 + ], + [ + 6900, + 10255 + ], + [ + 592, + 11299 + ], + [ + 3070, + 3605 + ], + [ + 3853, + 4997 + ], + [ + 7837, + 11333 + ], + [ + 6302, + 8616 + ], + [ + 5629, + 10028 + ], + [ + 5720, + 9392 + ], + [ + 4309, + 8431 + ], + [ + 4844, + 5557 + ], + [ + 1487, + 5735 + ], + [ + 2357, + 9001 + ], + [ + 115, + 8866 + ], + [ + 4370, + 9838 + ], + [ + 13, + 10087 + ], + [ + 6050, + 7991 + ], + [ + 1881, + 6039 + ], + [ + 6105, + 8452 + ], + [ + 7662, + 8484 + ], + [ + 3221, + 8288 + ], + [ + 937, + 7927 + ], + [ + 1307, + 2542 + ], + [ + 842, + 10319 + ], + [ + 2558, + 8883 + ], + [ + 5112, + 10044 + ], + [ + 6659, + 9388 + ], + [ + 9398, + 11083 + ], + [ + 5786, + 9988 + ], + [ + 5559, + 10763 + ], + [ + 7274, + 7971 + ], + [ + 586, + 6542 + ], + [ + 9452, + 11319 + ], + [ + 825, + 2394 + ], + [ + 582, + 9806 + ], + [ + 3013, + 6430 + ], + [ + 2624, + 2713 + ], + [ + 1854, + 6444 + ], + [ + 8977, + 11211 + ], + [ + 2661, + 5224 + ], + [ + 75, + 1115 + ], + [ + 6344, + 10666 + ], + [ + 763, + 4899 + ], + [ + 947, + 1044 + ], + [ + 2662, + 8832 + ], + [ + 3567, + 4737 + ], + [ + 3928, + 7934 + ], + [ + 3685, + 8930 + ], + [ + 3965, + 11199 + ], + [ + 228, + 4740 + ], + [ + 6138, + 9285 + ], + [ + 5234, + 8320 + ], + [ + 5517, + 10106 + ], + [ + 8688, + 11458 + ], + [ + 2967, + 9818 + ], + [ + 911, + 1737 + ], + [ + 308, + 9580 + ], + [ + 5858, + 7366 + ], + [ + 2393, + 5567 + ], + [ + 5450, + 5851 + ], + [ + 6602, + 8049 + ], + [ + 984, + 2400 + ], + [ + 9397, + 10053 + ], + [ + 2979, + 6795 + ], + [ + 1826, + 4372 + ], + [ + 9136, + 11217 + ], + [ + 263, + 6023 + ], + [ + 176, + 362 + ], + [ + 4902, + 8089 + ], + [ + 883, + 2698 + ], + [ + 4907, + 8433 + ], + [ + 1282, + 2215 + ], + [ + 5614, + 10015 + ], + [ + 1474, + 2385 + ], + [ + 7908, + 10313 + ], + [ + 12, + 2590 + ], + [ + 5944, + 9368 + ], + [ + 4209, + 9973 + ], + [ + 1186, + 9273 + ], + [ + 1401, + 10393 + ], + [ + 345, + 2241 + ], + [ + 2734, + 11471 + ], + [ + 2555, + 10008 + ], + [ + 1681, + 7000 + ], + [ + 5607, + 9194 + ], + [ + 430, + 10458 + ], + [ + 6846, + 10637 + ], + [ + 9679, + 11213 + ], + [ + 2919, + 10470 + ], + [ + 273, + 3304 + ], + [ + 1515, + 5018 + ], + [ + 6308, + 6797 + ], + [ + 2607, + 7165 + ], + [ + 2135, + 7355 + ], + [ + 7238, + 10868 + ], + [ + 7430, + 11038 + ], + [ + 391, + 10880 + ], + [ + 10938, + 11029 + ], + [ + 4553, + 9409 + ], + [ + 260, + 5701 + ], + [ + 4124, + 7017 + ], + [ + 5402, + 8388 + ], + [ + 1572, + 5902 + ], + [ + 2258, + 2443 + ], + [ + 5802, + 9261 + ], + [ + 2723, + 4465 + ], + [ + 1506, + 10917 + ], + [ + 787, + 4814 + ], + [ + 2803, + 9332 + ], + [ + 279, + 6101 + ], + [ + 9339, + 11121 + ], + [ + 318, + 5275 + ], + [ + 3404, + 10461 + ], + [ + 7059, + 7496 + ], + [ + 586, + 10193 + ], + [ + 4271, + 10046 + ], + [ + 9180, + 10310 + ], + [ + 1828, + 8874 + ], + [ + 1986, + 9460 + ], + [ + 88, + 2719 + ], + [ + 8116, + 10561 + ], + [ + 3443, + 6632 + ], + [ + 3164, + 7217 + ], + [ + 1491, + 2284 + ], + [ + 8667, + 10849 + ], + [ + 19, + 8217 + ], + [ + 4098, + 11407 + ], + [ + 2880, + 4425 + ], + [ + 502, + 10845 + ], + [ + 1166, + 3655 + ], + [ + 6742, + 9078 + ], + [ + 2874, + 10272 + ], + [ + 4393, + 10574 + ], + [ + 3241, + 4589 + ], + [ + 5171, + 7835 + ], + [ + 312, + 7688 + ], + [ + 4362, + 5976 + ], + [ + 2925, + 10210 + ], + [ + 6996, + 9375 + ], + [ + 560, + 10419 + ], + [ + 8810, + 10726 + ], + [ + 5880, + 6053 + ], + [ + 3767, + 7264 + ], + [ + 5666, + 11197 + ], + [ + 2741, + 11032 + ], + [ + 150, + 5825 + ], + [ + 9583, + 9895 + ], + [ + 1682, + 8244 + ], + [ + 5717, + 7752 + ], + [ + 2942, + 4148 + ], + [ + 4168, + 5329 + ], + [ + 2941, + 4677 + ], + [ + 10670, + 10917 + ], + [ + 543, + 2494 + ], + [ + 5985, + 9637 + ], + [ + 4281, + 5391 + ], + [ + 2280, + 8351 + ], + [ + 2221, + 11154 + ], + [ + 2756, + 8280 + ], + [ + 6087, + 6881 + ], + [ + 6149, + 7759 + ], + [ + 9200, + 9726 + ], + [ + 514, + 10774 + ], + [ + 1653, + 2187 + ], + [ + 1307, + 1550 + ], + [ + 6697, + 7749 + ], + [ + 6511, + 11531 + ], + [ + 7595, + 9653 + ], + [ + 1769, + 9717 + ], + [ + 2235, + 8958 + ], + [ + 6655, + 8277 + ], + [ + 2458, + 4277 + ], + [ + 1057, + 10420 + ], + [ + 2390, + 9246 + ], + [ + 3608, + 5648 + ], + [ + 2419, + 7732 + ], + [ + 7398, + 8735 + ], + [ + 7458, + 9540 + ], + [ + 25, + 3793 + ], + [ + 10345, + 11133 + ], + [ + 7243, + 8797 + ], + [ + 5581, + 10469 + ], + [ + 2224, + 4231 + ], + [ + 4534, + 9196 + ], + [ + 9666, + 11195 + ], + [ + 827, + 4831 + ], + [ + 6825, + 9223 + ], + [ + 6644, + 6933 + ], + [ + 6750, + 7359 + ], + [ + 2899, + 10412 + ], + [ + 3210, + 7830 + ], + [ + 533, + 1351 + ], + [ + 1525, + 6300 + ], + [ + 3419, + 11387 + ], + [ + 0, + 4271 + ], + [ + 1830, + 10319 + ], + [ + 4383, + 7872 + ], + [ + 1370, + 7860 + ], + [ + 2265, + 3077 + ], + [ + 2614, + 3985 + ], + [ + 2672, + 7373 + ], + [ + 4327, + 4530 + ], + [ + 2812, + 6629 + ], + [ + 978, + 1593 + ], + [ + 2002, + 10961 + ], + [ + 1945, + 10427 + ], + [ + 1849, + 4303 + ], + [ + 8815, + 11338 + ], + [ + 1607, + 7399 + ], + [ + 660, + 5606 + ], + [ + 1341, + 1803 + ], + [ + 4081, + 10516 + ], + [ + 1813, + 4242 + ], + [ + 5168, + 8155 + ], + [ + 4705, + 6179 + ], + [ + 987, + 11104 + ], + [ + 6138, + 10871 + ], + [ + 4861, + 6692 + ], + [ + 1108, + 6146 + ], + [ + 7995, + 8162 + ], + [ + 2792, + 8205 + ], + [ + 6097, + 7837 + ], + [ + 6990, + 8643 + ], + [ + 622, + 9636 + ], + [ + 6215, + 9778 + ], + [ + 5783, + 10121 + ], + [ + 7956, + 8207 + ], + [ + 6153, + 8900 + ], + [ + 492, + 895 + ], + [ + 9204, + 10867 + ], + [ + 7014, + 10168 + ], + [ + 3028, + 6388 + ], + [ + 1622, + 10689 + ], + [ + 3473, + 4752 + ], + [ + 3311, + 6676 + ], + [ + 5459, + 11313 + ], + [ + 1278, + 3682 + ], + [ + 2590, + 7293 + ], + [ + 842, + 3529 + ], + [ + 3992, + 6256 + ], + [ + 2891, + 11193 + ], + [ + 8847, + 9667 + ], + [ + 4236, + 6616 + ], + [ + 4573, + 6009 + ], + [ + 5849, + 9963 + ], + [ + 1856, + 6547 + ], + [ + 6031, + 9445 + ], + [ + 1857, + 2985 + ], + [ + 743, + 6906 + ], + [ + 645, + 3365 + ], + [ + 303, + 3601 + ], + [ + 514, + 3821 + ], + [ + 6336, + 10431 + ], + [ + 878, + 9201 + ], + [ + 2975, + 6703 + ], + [ + 1626, + 6620 + ], + [ + 6106, + 6744 + ], + [ + 3963, + 9998 + ], + [ + 267, + 10710 + ], + [ + 6162, + 7807 + ], + [ + 7168, + 10180 + ], + [ + 2459, + 6594 + ], + [ + 3613, + 9619 + ], + [ + 683, + 4946 + ], + [ + 10209, + 11459 + ], + [ + 6383, + 9846 + ], + [ + 2670, + 7945 + ], + [ + 1304, + 5229 + ], + [ + 6971, + 10016 + ], + [ + 7148, + 11406 + ], + [ + 3662, + 8730 + ], + [ + 4606, + 10979 + ], + [ + 2602, + 3088 + ], + [ + 3668, + 10430 + ], + [ + 1397, + 4639 + ], + [ + 9387, + 11243 + ], + [ + 1944, + 4808 + ], + [ + 3131, + 6061 + ], + [ + 7609, + 9522 + ], + [ + 2814, + 3910 + ], + [ + 5432, + 6776 + ], + [ + 542, + 5064 + ], + [ + 578, + 4721 + ], + [ + 676, + 1092 + ], + [ + 7795, + 9123 + ], + [ + 916, + 11132 + ], + [ + 4685, + 9178 + ], + [ + 8878, + 9272 + ], + [ + 3711, + 8972 + ], + [ + 1968, + 3300 + ], + [ + 789, + 1908 + ], + [ + 5212, + 11324 + ], + [ + 1415, + 4814 + ], + [ + 2502, + 8869 + ], + [ + 7848, + 9134 + ], + [ + 8316, + 11454 + ], + [ + 3240, + 6354 + ], + [ + 4422, + 7263 + ], + [ + 308, + 5018 + ], + [ + 6200, + 6705 + ], + [ + 1490, + 9310 + ], + [ + 3567, + 5436 + ], + [ + 2828, + 8480 + ], + [ + 3548, + 11021 + ], + [ + 2478, + 10353 + ], + [ + 1826, + 6226 + ], + [ + 5542, + 7644 + ], + [ + 2892, + 9404 + ], + [ + 6469, + 7280 + ], + [ + 9707, + 9854 + ], + [ + 1020, + 8048 + ], + [ + 868, + 9906 + ], + [ + 426, + 9561 + ], + [ + 555, + 5245 + ], + [ + 5928, + 10339 + ], + [ + 3249, + 9449 + ], + [ + 1019, + 3659 + ], + [ + 9973, + 10535 + ], + [ + 2034, + 6148 + ], + [ + 3506, + 7762 + ], + [ + 2011, + 2192 + ], + [ + 1042, + 2330 + ], + [ + 8875, + 8950 + ], + [ + 2127, + 3306 + ], + [ + 5736, + 10519 + ], + [ + 3962, + 5534 + ], + [ + 2994, + 8526 + ], + [ + 3123, + 4210 + ], + [ + 2676, + 3521 + ], + [ + 2896, + 5739 + ], + [ + 4360, + 5580 + ], + [ + 4019, + 9451 + ], + [ + 3706, + 4790 + ], + [ + 2097, + 3814 + ], + [ + 2310, + 11277 + ], + [ + 3802, + 4498 + ], + [ + 10271, + 10727 + ], + [ + 2859, + 5857 + ], + [ + 3552, + 10739 + ], + [ + 4076, + 9204 + ], + [ + 2013, + 4116 + ], + [ + 280, + 5548 + ], + [ + 1856, + 10548 + ], + [ + 9739, + 10839 + ], + [ + 1272, + 10497 + ], + [ + 2982, + 7361 + ], + [ + 4992, + 8681 + ], + [ + 513, + 8001 + ], + [ + 2328, + 6571 + ], + [ + 3264, + 4041 + ], + [ + 3759, + 10436 + ], + [ + 1261, + 5420 + ], + [ + 946, + 10512 + ], + [ + 137, + 8653 + ], + [ + 9092, + 9715 + ], + [ + 2479, + 10123 + ], + [ + 1732, + 8388 + ], + [ + 5770, + 11577 + ], + [ + 111, + 10815 + ], + [ + 10911, + 11410 + ], + [ + 2783, + 10534 + ], + [ + 10429, + 10912 + ], + [ + 5766, + 7671 + ], + [ + 5640, + 9252 + ], + [ + 3804, + 9805 + ], + [ + 8692, + 9192 + ], + [ + 7348, + 9453 + ], + [ + 2556, + 10528 + ], + [ + 3433, + 10801 + ], + [ + 2683, + 10303 + ], + [ + 7402, + 9689 + ], + [ + 189, + 6160 + ], + [ + 8153, + 11543 + ], + [ + 741, + 6673 + ], + [ + 3106, + 11345 + ], + [ + 4751, + 7814 + ], + [ + 2829, + 6341 + ], + [ + 2206, + 7116 + ], + [ + 1580, + 4210 + ], + [ + 1337, + 4452 + ], + [ + 5062, + 5232 + ], + [ + 216, + 7202 + ], + [ + 3377, + 3702 + ], + [ + 3998, + 6264 + ], + [ + 452, + 3537 + ], + [ + 9455, + 10275 + ], + [ + 770, + 2126 + ], + [ + 1052, + 1058 + ], + [ + 1978, + 4256 + ], + [ + 1795, + 5303 + ], + [ + 4723, + 9149 + ], + [ + 2066, + 3322 + ], + [ + 5830, + 7440 + ], + [ + 6525, + 6733 + ], + [ + 7519, + 8345 + ], + [ + 1473, + 6191 + ], + [ + 237, + 8429 + ], + [ + 3176, + 6048 + ], + [ + 9913, + 11503 + ], + [ + 5054, + 9104 + ], + [ + 10525, + 10569 + ], + [ + 1965, + 10036 + ], + [ + 3210, + 8261 + ], + [ + 2284, + 11479 + ], + [ + 8743, + 10604 + ], + [ + 3323, + 5694 + ], + [ + 1153, + 7125 + ], + [ + 9654, + 10461 + ], + [ + 802, + 6144 + ], + [ + 0, + 4702 + ], + [ + 2305, + 2907 + ], + [ + 935, + 9117 + ], + [ + 6837, + 7385 + ], + [ + 5751, + 8436 + ], + [ + 4510, + 10330 + ], + [ + 864, + 10405 + ], + [ + 1800, + 7875 + ], + [ + 8088, + 9562 + ], + [ + 545, + 5175 + ], + [ + 1510, + 7547 + ], + [ + 1742, + 7116 + ], + [ + 2012, + 2281 + ], + [ + 2967, + 4719 + ], + [ + 852, + 5857 + ], + [ + 4401, + 5849 + ], + [ + 6680, + 9249 + ], + [ + 3901, + 11161 + ], + [ + 3927, + 10130 + ], + [ + 2817, + 10787 + ], + [ + 7294, + 11394 + ], + [ + 1132, + 11509 + ], + [ + 4924, + 11259 + ], + [ + 10989, + 11211 + ], + [ + 598, + 2153 + ], + [ + 1530, + 9303 + ], + [ + 7247, + 7791 + ], + [ + 2023, + 6203 + ], + [ + 9275, + 9660 + ], + [ + 2836, + 11187 + ], + [ + 1621, + 5634 + ], + [ + 115, + 2157 + ], + [ + 92, + 453 + ], + [ + 4192, + 4520 + ], + [ + 9582, + 11473 + ], + [ + 1664, + 7963 + ], + [ + 5194, + 10157 + ], + [ + 3626, + 9212 + ], + [ + 3383, + 5290 + ], + [ + 1408, + 6465 + ], + [ + 4815, + 10511 + ], + [ + 4466, + 10357 + ], + [ + 6236, + 11436 + ], + [ + 8500, + 9640 + ], + [ + 9620, + 9671 + ], + [ + 5366, + 11553 + ], + [ + 313, + 987 + ], + [ + 311, + 10740 + ], + [ + 1505, + 6748 + ], + [ + 8499, + 9415 + ], + [ + 223, + 8641 + ], + [ + 127, + 2517 + ], + [ + 1058, + 6059 + ], + [ + 3337, + 5295 + ], + [ + 9283, + 9497 + ], + [ + 1279, + 11131 + ], + [ + 1566, + 10407 + ], + [ + 7533, + 9070 + ], + [ + 35, + 2928 + ], + [ + 2839, + 11434 + ], + [ + 4601, + 8488 + ], + [ + 2607, + 5449 + ], + [ + 6543, + 8331 + ], + [ + 342, + 9272 + ], + [ + 3206, + 9915 + ], + [ + 7440, + 10010 + ], + [ + 4699, + 5990 + ], + [ + 9831, + 10241 + ], + [ + 8989, + 9400 + ], + [ + 2666, + 9412 + ], + [ + 8643, + 8763 + ], + [ + 207, + 3570 + ], + [ + 730, + 5597 + ], + [ + 5938, + 6652 + ], + [ + 87, + 9103 + ], + [ + 2465, + 8375 + ], + [ + 5441, + 9229 + ], + [ + 4557, + 5533 + ], + [ + 1071, + 2857 + ], + [ + 1048, + 7569 + ], + [ + 3593, + 6015 + ], + [ + 5047, + 5168 + ], + [ + 793, + 7050 + ], + [ + 252, + 2939 + ], + [ + 6162, + 8238 + ], + [ + 4981, + 10183 + ], + [ + 783, + 3329 + ], + [ + 6611, + 8973 + ], + [ + 560, + 6475 + ], + [ + 6069, + 8424 + ], + [ + 3206, + 5727 + ], + [ + 2461, + 4819 + ], + [ + 2063, + 10408 + ], + [ + 4701, + 4881 + ], + [ + 5074, + 9593 + ], + [ + 2204, + 9135 + ], + [ + 2276, + 11455 + ], + [ + 5013, + 9317 + ], + [ + 1157, + 7862 + ], + [ + 492, + 9165 + ], + [ + 6120, + 8362 + ], + [ + 808, + 11091 + ], + [ + 9116, + 10622 + ], + [ + 7361, + 9851 + ], + [ + 3352, + 5148 + ], + [ + 10194, + 10427 + ], + [ + 4308, + 10440 + ], + [ + 5058, + 8686 + ], + [ + 4402, + 9321 + ], + [ + 1720, + 2498 + ], + [ + 4226, + 11539 + ], + [ + 7232, + 10380 + ], + [ + 1757, + 5763 + ], + [ + 580, + 5198 + ], + [ + 6273, + 11206 + ], + [ + 3957, + 6426 + ], + [ + 5483, + 7145 + ], + [ + 2491, + 5758 + ], + [ + 823, + 7585 + ], + [ + 1408, + 8238 + ], + [ + 11272, + 11363 + ], + [ + 2707, + 4070 + ], + [ + 2079, + 10136 + ], + [ + 6850, + 8184 + ], + [ + 9902, + 10376 + ], + [ + 2560, + 10409 + ], + [ + 9771, + 10859 + ], + [ + 6003, + 9251 + ], + [ + 6445, + 10350 + ], + [ + 7066, + 8748 + ], + [ + 5323, + 9492 + ], + [ + 1714, + 3033 + ], + [ + 2305, + 2720 + ], + [ + 1403, + 4080 + ], + [ + 400, + 5388 + ], + [ + 4565, + 9850 + ], + [ + 3049, + 3403 + ], + [ + 8929, + 9991 + ], + [ + 2816, + 10779 + ], + [ + 1443, + 6138 + ], + [ + 2795, + 9902 + ], + [ + 116, + 2596 + ], + [ + 603, + 2714 + ], + [ + 544, + 5517 + ], + [ + 3224, + 5097 + ], + [ + 157, + 1092 + ], + [ + 1466, + 4028 + ], + [ + 2904, + 6812 + ], + [ + 7945, + 8693 + ], + [ + 2277, + 10097 + ], + [ + 5916, + 9605 + ], + [ + 7015, + 8759 + ], + [ + 1124, + 4264 + ], + [ + 5010, + 7059 + ], + [ + 8093, + 8564 + ], + [ + 223, + 6226 + ], + [ + 4700, + 6079 + ], + [ + 3547, + 4410 + ], + [ + 2247, + 11359 + ], + [ + 3856, + 5165 + ], + [ + 3487, + 9240 + ], + [ + 2300, + 7987 + ], + [ + 837, + 11000 + ], + [ + 1804, + 4373 + ], + [ + 5102, + 6998 + ], + [ + 3944, + 10647 + ], + [ + 2449, + 5077 + ], + [ + 1573, + 4625 + ], + [ + 4487, + 10293 + ], + [ + 2649, + 7767 + ], + [ + 106, + 4486 + ], + [ + 6924, + 10869 + ], + [ + 5895, + 10956 + ], + [ + 1308, + 6047 + ], + [ + 3838, + 9066 + ], + [ + 11019, + 11559 + ], + [ + 3555, + 10663 + ], + [ + 9209, + 11081 + ], + [ + 7691, + 10223 + ], + [ + 8806, + 9910 + ], + [ + 2278, + 6484 + ], + [ + 10917, + 11282 + ], + [ + 2825, + 6653 + ], + [ + 903, + 5180 + ], + [ + 7530, + 8585 + ], + [ + 2728, + 6720 + ], + [ + 1179, + 10713 + ], + [ + 2338, + 9918 + ], + [ + 4974, + 9980 + ], + [ + 7591, + 9992 + ], + [ + 53, + 5949 + ], + [ + 6747, + 9078 + ], + [ + 4685, + 6844 + ], + [ + 4618, + 5622 + ], + [ + 4683, + 10181 + ], + [ + 1670, + 10169 + ], + [ + 1197, + 7505 + ], + [ + 5773, + 11501 + ], + [ + 3689, + 5536 + ], + [ + 1815, + 9769 + ], + [ + 9196, + 9664 + ], + [ + 6582, + 6917 + ], + [ + 1666, + 9646 + ], + [ + 780, + 5123 + ], + [ + 353, + 9974 + ], + [ + 2722, + 5720 + ], + [ + 812, + 1628 + ], + [ + 414, + 7217 + ], + [ + 944, + 3999 + ], + [ + 4243, + 9478 + ], + [ + 1894, + 8722 + ], + [ + 966, + 8861 + ], + [ + 4727, + 9298 + ], + [ + 4577, + 5567 + ], + [ + 5410, + 6322 + ], + [ + 4131, + 5480 + ], + [ + 4354, + 7215 + ], + [ + 3542, + 5085 + ], + [ + 5524, + 6609 + ], + [ + 1300, + 4950 + ], + [ + 355, + 5482 + ], + [ + 2414, + 6664 + ], + [ + 4038, + 8672 + ], + [ + 728, + 7942 + ], + [ + 5991, + 8704 + ], + [ + 8668, + 9521 + ], + [ + 258, + 5549 + ], + [ + 5280, + 7380 + ], + [ + 2968, + 8004 + ], + [ + 3377, + 6711 + ], + [ + 5769, + 10577 + ], + [ + 4834, + 9545 + ], + [ + 4583, + 5762 + ], + [ + 8230, + 9295 + ], + [ + 5766, + 9525 + ], + [ + 733, + 5253 + ], + [ + 2030, + 6674 + ], + [ + 3238, + 6552 + ], + [ + 903, + 9636 + ], + [ + 3189, + 10043 + ], + [ + 2623, + 7188 + ], + [ + 3497, + 7944 + ], + [ + 3681, + 10505 + ], + [ + 446, + 5196 + ], + [ + 369, + 3286 + ], + [ + 4491, + 9556 + ], + [ + 1965, + 9662 + ], + [ + 3871, + 9848 + ], + [ + 6421, + 8638 + ], + [ + 4637, + 9381 + ], + [ + 4912, + 11306 + ], + [ + 1938, + 10468 + ], + [ + 1837, + 4000 + ], + [ + 4257, + 6127 + ], + [ + 1278, + 5699 + ], + [ + 1770, + 5407 + ], + [ + 3948, + 8755 + ], + [ + 3382, + 5900 + ], + [ + 4720, + 11486 + ], + [ + 4255, + 8683 + ], + [ + 2166, + 2374 + ], + [ + 7403, + 9085 + ], + [ + 478, + 3579 + ], + [ + 3134, + 9181 + ], + [ + 1207, + 3954 + ], + [ + 5247, + 7216 + ], + [ + 9111, + 9286 + ], + [ + 2821, + 4520 + ], + [ + 300, + 4970 + ], + [ + 21, + 5555 + ], + [ + 1268, + 11023 + ], + [ + 2137, + 7271 + ], + [ + 2701, + 9299 + ], + [ + 1944, + 7630 + ], + [ + 4337, + 7934 + ], + [ + 887, + 11331 + ], + [ + 9531, + 10811 + ], + [ + 1868, + 2158 + ], + [ + 7736, + 11365 + ], + [ + 8814, + 11170 + ], + [ + 2871, + 4233 + ], + [ + 789, + 1347 + ], + [ + 2535, + 4284 + ], + [ + 379, + 9585 + ], + [ + 5037, + 6066 + ], + [ + 4388, + 7872 + ], + [ + 1936, + 9617 + ], + [ + 8009, + 9430 + ], + [ + 2376, + 3473 + ], + [ + 180, + 5211 + ], + [ + 9961, + 10745 + ], + [ + 3612, + 4618 + ], + [ + 709, + 1768 + ], + [ + 2018, + 8868 + ], + [ + 2104, + 3724 + ], + [ + 1209, + 6255 + ], + [ + 5094, + 9202 + ], + [ + 3790, + 6610 + ], + [ + 1856, + 4376 + ], + [ + 4692, + 8633 + ], + [ + 2355, + 4474 + ], + [ + 2222, + 4884 + ], + [ + 6246, + 8367 + ], + [ + 2533, + 6466 + ], + [ + 5060, + 9968 + ], + [ + 2417, + 8735 + ], + [ + 793, + 1065 + ], + [ + 1971, + 4484 + ], + [ + 1807, + 9745 + ], + [ + 7667, + 8511 + ], + [ + 6323, + 9526 + ], + [ + 2154, + 6820 + ], + [ + 9437, + 9590 + ], + [ + 7353, + 10041 + ], + [ + 2558, + 5183 + ], + [ + 4022, + 5024 + ], + [ + 7320, + 7649 + ], + [ + 7352, + 10570 + ], + [ + 561, + 8262 + ], + [ + 4143, + 6482 + ], + [ + 2961, + 5573 + ], + [ + 1422, + 9530 + ], + [ + 333, + 5402 + ], + [ + 6563, + 9363 + ], + [ + 3113, + 6344 + ], + [ + 1394, + 8236 + ], + [ + 5967, + 7797 + ], + [ + 3634, + 5292 + ], + [ + 6164, + 8311 + ], + [ + 2761, + 8144 + ], + [ + 2945, + 7699 + ], + [ + 4746, + 11097 + ], + [ + 2624, + 8812 + ], + [ + 2909, + 5009 + ], + [ + 6300, + 10831 + ], + [ + 8074, + 9400 + ], + [ + 9727, + 9894 + ], + [ + 8173, + 9379 + ], + [ + 6796, + 11412 + ], + [ + 6108, + 7628 + ], + [ + 287, + 8036 + ], + [ + 4528, + 10056 + ], + [ + 7819, + 11510 + ], + [ + 3953, + 9367 + ], + [ + 694, + 10080 + ], + [ + 9252, + 9786 + ], + [ + 1411, + 8940 + ], + [ + 819, + 4864 + ], + [ + 3921, + 9829 + ], + [ + 7374, + 10113 + ], + [ + 5266, + 6006 + ], + [ + 813, + 10711 + ], + [ + 2962, + 9157 + ], + [ + 1332, + 2416 + ], + [ + 347, + 8437 + ], + [ + 2799, + 10856 + ], + [ + 3485, + 7397 + ], + [ + 2143, + 9239 + ], + [ + 3012, + 5487 + ], + [ + 5849, + 9215 + ], + [ + 8648, + 10961 + ], + [ + 8922, + 10032 + ], + [ + 6193, + 9779 + ], + [ + 9393, + 9617 + ], + [ + 5009, + 5791 + ], + [ + 9169, + 9909 + ], + [ + 1077, + 5280 + ], + [ + 2171, + 4090 + ], + [ + 2319, + 3988 + ], + [ + 3225, + 9917 + ], + [ + 2855, + 3968 + ], + [ + 5279, + 6591 + ], + [ + 4959, + 11339 + ], + [ + 1851, + 11467 + ], + [ + 7269, + 9888 + ], + [ + 113, + 9145 + ], + [ + 2842, + 9398 + ], + [ + 46, + 753 + ], + [ + 7415, + 9713 + ], + [ + 223, + 6307 + ], + [ + 753, + 3089 + ], + [ + 5212, + 7998 + ], + [ + 1655, + 11528 + ], + [ + 3116, + 5436 + ], + [ + 4239, + 11400 + ], + [ + 5925, + 7870 + ], + [ + 536, + 7935 + ], + [ + 6009, + 6063 + ], + [ + 1377, + 2135 + ], + [ + 8715, + 11028 + ], + [ + 3180, + 6360 + ], + [ + 348, + 2222 + ], + [ + 1740, + 6913 + ], + [ + 2893, + 5549 + ], + [ + 9279, + 10777 + ], + [ + 10495, + 10516 + ], + [ + 2928, + 7987 + ], + [ + 3953, + 8912 + ], + [ + 7924, + 10125 + ], + [ + 3760, + 8517 + ], + [ + 2385, + 10219 + ], + [ + 293, + 10809 + ], + [ + 9236, + 10326 + ], + [ + 2323, + 7089 + ], + [ + 5990, + 11274 + ], + [ + 1410, + 3372 + ], + [ + 385, + 10748 + ], + [ + 789, + 4193 + ], + [ + 2315, + 2660 + ], + [ + 4651, + 9600 + ], + [ + 3648, + 10154 + ], + [ + 6297, + 8923 + ], + [ + 7355, + 11486 + ], + [ + 191, + 302 + ], + [ + 251, + 353 + ], + [ + 6541, + 9283 + ], + [ + 7036, + 9262 + ], + [ + 2347, + 11216 + ], + [ + 2003, + 11406 + ], + [ + 1148, + 8448 + ], + [ + 7898, + 8503 + ], + [ + 217, + 4906 + ], + [ + 1966, + 11524 + ], + [ + 6264, + 9914 + ], + [ + 3358, + 9799 + ], + [ + 3523, + 5140 + ], + [ + 1553, + 3249 + ], + [ + 5539, + 10412 + ], + [ + 4104, + 4893 + ], + [ + 1958, + 10882 + ], + [ + 2304, + 5103 + ], + [ + 1891, + 2490 + ], + [ + 1920, + 8146 + ], + [ + 5996, + 6901 + ], + [ + 4005, + 4133 + ], + [ + 1742, + 8783 + ], + [ + 8172, + 9422 + ], + [ + 7494, + 10490 + ], + [ + 5061, + 6623 + ], + [ + 8268, + 9884 + ], + [ + 4340, + 10273 + ], + [ + 8116, + 10244 + ], + [ + 714, + 5308 + ], + [ + 6335, + 10504 + ], + [ + 8140, + 8386 + ], + [ + 7923, + 9849 + ], + [ + 1114, + 6181 + ], + [ + 39, + 5169 + ], + [ + 6983, + 8473 + ], + [ + 6546, + 8472 + ], + [ + 3529, + 4554 + ], + [ + 480, + 2633 + ], + [ + 3465, + 7013 + ], + [ + 1, + 5816 + ], + [ + 4775, + 10551 + ], + [ + 2627, + 2881 + ], + [ + 3308, + 6248 + ], + [ + 6298, + 10972 + ], + [ + 288, + 9229 + ], + [ + 3514, + 10288 + ], + [ + 3420, + 9872 + ], + [ + 6446, + 7837 + ], + [ + 7282, + 8109 + ], + [ + 3641, + 8528 + ], + [ + 3226, + 10006 + ], + [ + 6958, + 9705 + ], + [ + 8021, + 8448 + ], + [ + 1354, + 8650 + ], + [ + 3728, + 4740 + ], + [ + 2504, + 10021 + ], + [ + 8264, + 11589 + ], + [ + 2015, + 7578 + ], + [ + 3312, + 8245 + ], + [ + 5676, + 7811 + ], + [ + 8175, + 9265 + ], + [ + 1543, + 11151 + ], + [ + 3812, + 9699 + ], + [ + 6768, + 9177 + ], + [ + 8046, + 10548 + ], + [ + 5448, + 8334 + ], + [ + 7077, + 10686 + ], + [ + 1378, + 6361 + ], + [ + 1003, + 4232 + ], + [ + 4389, + 5546 + ], + [ + 4671, + 8642 + ], + [ + 5786, + 8329 + ], + [ + 2176, + 10313 + ], + [ + 3800, + 11567 + ], + [ + 469, + 4298 + ], + [ + 5474, + 6522 + ], + [ + 195, + 5227 + ], + [ + 1681, + 7301 + ], + [ + 535, + 1885 + ], + [ + 246, + 8198 + ], + [ + 3042, + 3257 + ], + [ + 4514, + 7877 + ], + [ + 376, + 7490 + ], + [ + 4908, + 11214 + ], + [ + 2740, + 2892 + ], + [ + 4369, + 4520 + ], + [ + 1801, + 8534 + ], + [ + 863, + 10237 + ], + [ + 8204, + 10733 + ], + [ + 1583, + 6362 + ], + [ + 420, + 9667 + ], + [ + 2627, + 7337 + ], + [ + 9344, + 11416 + ], + [ + 1940, + 10571 + ], + [ + 7313, + 9249 + ], + [ + 2490, + 8005 + ], + [ + 5824, + 6877 + ], + [ + 3590, + 10767 + ], + [ + 2494, + 8878 + ], + [ + 2026, + 2394 + ], + [ + 226, + 2604 + ], + [ + 2746, + 9099 + ], + [ + 1748, + 10751 + ], + [ + 4174, + 7031 + ], + [ + 6600, + 10481 + ], + [ + 687, + 4884 + ], + [ + 3290, + 8970 + ], + [ + 7366, + 8479 + ], + [ + 812, + 10248 + ], + [ + 8807, + 10780 + ], + [ + 9244, + 11535 + ], + [ + 4655, + 5799 + ], + [ + 2037, + 6316 + ], + [ + 5522, + 8767 + ], + [ + 6464, + 10189 + ], + [ + 3255, + 10265 + ], + [ + 8348, + 8926 + ], + [ + 2133, + 3745 + ], + [ + 4048, + 7457 + ], + [ + 3154, + 7180 + ], + [ + 5798, + 11267 + ], + [ + 1247, + 1851 + ], + [ + 1470, + 10756 + ], + [ + 3836, + 6985 + ], + [ + 2742, + 11558 + ], + [ + 9094, + 10032 + ], + [ + 1465, + 6625 + ], + [ + 2580, + 6312 + ], + [ + 209, + 3323 + ], + [ + 10026, + 10766 + ], + [ + 9235, + 9513 + ], + [ + 8276, + 10339 + ], + [ + 7505, + 11216 + ], + [ + 4379, + 6631 + ], + [ + 3257, + 5773 + ], + [ + 5956, + 8069 + ], + [ + 2012, + 3761 + ], + [ + 2941, + 11394 + ], + [ + 145, + 9165 + ], + [ + 5268, + 6914 + ], + [ + 319, + 8005 + ], + [ + 2502, + 6779 + ], + [ + 7271, + 11170 + ], + [ + 811, + 1297 + ], + [ + 1187, + 10444 + ], + [ + 9284, + 9755 + ], + [ + 1120, + 2806 + ], + [ + 2069, + 11061 + ], + [ + 2160, + 11179 + ], + [ + 10028, + 10438 + ], + [ + 4302, + 7700 + ], + [ + 8166, + 9770 + ], + [ + 1404, + 5948 + ], + [ + 3465, + 3793 + ], + [ + 4733, + 10138 + ], + [ + 4709, + 5580 + ], + [ + 8778, + 10334 + ], + [ + 621, + 4556 + ], + [ + 7069, + 10662 + ], + [ + 5172, + 10939 + ], + [ + 4662, + 8393 + ], + [ + 1203, + 10546 + ], + [ + 3718, + 3865 + ], + [ + 5161, + 9245 + ], + [ + 3757, + 9455 + ], + [ + 1541, + 10541 + ], + [ + 5374, + 10292 + ], + [ + 9660, + 10577 + ], + [ + 5186, + 10995 + ], + [ + 4219, + 11206 + ], + [ + 637, + 8822 + ], + [ + 291, + 8185 + ], + [ + 8243, + 10525 + ], + [ + 6213, + 7829 + ], + [ + 9754, + 10212 + ], + [ + 7264, + 9975 + ], + [ + 2068, + 4019 + ], + [ + 3434, + 7489 + ], + [ + 1352, + 11019 + ], + [ + 4862, + 5421 + ], + [ + 5804, + 6089 + ], + [ + 2280, + 7847 + ], + [ + 167, + 2642 + ], + [ + 1694, + 4717 + ], + [ + 5861, + 10006 + ], + [ + 5859, + 9933 + ], + [ + 2657, + 11180 + ], + [ + 103, + 8484 + ], + [ + 561, + 3700 + ], + [ + 2272, + 9834 + ], + [ + 4481, + 8331 + ], + [ + 899, + 3695 + ], + [ + 441, + 2063 + ], + [ + 2617, + 11000 + ], + [ + 5998, + 8964 + ], + [ + 5535, + 7742 + ], + [ + 3086, + 9758 + ], + [ + 4471, + 11026 + ], + [ + 1962, + 5821 + ], + [ + 4071, + 7120 + ], + [ + 4320, + 7824 + ], + [ + 5440, + 7855 + ], + [ + 8363, + 11357 + ], + [ + 4187, + 8234 + ], + [ + 10061, + 10870 + ], + [ + 208, + 5625 + ], + [ + 2746, + 8562 + ], + [ + 1041, + 9009 + ], + [ + 2519, + 6304 + ], + [ + 3678, + 6263 + ], + [ + 4108, + 11509 + ], + [ + 2862, + 6643 + ], + [ + 7066, + 11033 + ], + [ + 499, + 2017 + ], + [ + 4705, + 6480 + ], + [ + 7253, + 10859 + ], + [ + 18, + 5127 + ], + [ + 5136, + 8918 + ], + [ + 5633, + 9724 + ], + [ + 8367, + 11075 + ], + [ + 4938, + 8933 + ], + [ + 4222, + 9517 + ], + [ + 1520, + 11087 + ], + [ + 3423, + 5340 + ], + [ + 89, + 806 + ], + [ + 2327, + 3451 + ], + [ + 2294, + 7475 + ], + [ + 112, + 7391 + ], + [ + 19, + 4948 + ], + [ + 2319, + 9225 + ], + [ + 8769, + 11240 + ], + [ + 7668, + 9007 + ], + [ + 2938, + 4544 + ], + [ + 4092, + 4159 + ], + [ + 7631, + 9879 + ], + [ + 4470, + 6963 + ], + [ + 2662, + 3148 + ], + [ + 6864, + 10875 + ], + [ + 7136, + 9119 + ], + [ + 2318, + 8973 + ], + [ + 4424, + 10001 + ], + [ + 6886, + 8190 + ], + [ + 1903, + 9697 + ], + [ + 7419, + 8653 + ], + [ + 5568, + 8174 + ], + [ + 4590, + 11202 + ], + [ + 2586, + 7475 + ], + [ + 2374, + 9282 + ], + [ + 6380, + 10304 + ], + [ + 7601, + 10387 + ], + [ + 5758, + 7517 + ], + [ + 2520, + 2691 + ], + [ + 11454, + 11544 + ], + [ + 163, + 7679 + ], + [ + 2245, + 4149 + ], + [ + 216, + 10723 + ], + [ + 5935, + 10038 + ], + [ + 6628, + 10002 + ], + [ + 4441, + 7322 + ], + [ + 50, + 2325 + ], + [ + 669, + 8224 + ], + [ + 1264, + 6155 + ], + [ + 4903, + 4909 + ], + [ + 7275, + 10752 + ], + [ + 4935, + 7830 + ], + [ + 1201, + 11468 + ], + [ + 1392, + 8784 + ], + [ + 3443, + 5941 + ], + [ + 516, + 11365 + ], + [ + 6232, + 6245 + ], + [ + 4373, + 9258 + ], + [ + 1350, + 8558 + ], + [ + 2185, + 2189 + ], + [ + 3345, + 11418 + ], + [ + 164, + 7126 + ], + [ + 4106, + 10607 + ], + [ + 97, + 5904 + ], + [ + 5823, + 7888 + ], + [ + 5107, + 8472 + ], + [ + 3842, + 5808 + ], + [ + 3959, + 6393 + ], + [ + 1960, + 3010 + ], + [ + 8367, + 9115 + ], + [ + 1252, + 8373 + ], + [ + 3240, + 10843 + ], + [ + 6722, + 9613 + ], + [ + 19, + 2988 + ], + [ + 1085, + 6166 + ], + [ + 2647, + 7296 + ], + [ + 8211, + 8952 + ], + [ + 2638, + 3046 + ], + [ + 2426, + 4853 + ], + [ + 2109, + 9118 + ], + [ + 5497, + 9007 + ], + [ + 3043, + 10679 + ], + [ + 1449, + 10765 + ], + [ + 5778, + 7714 + ], + [ + 7980, + 11456 + ], + [ + 2352, + 10007 + ], + [ + 6397, + 10203 + ], + [ + 2228, + 8251 + ], + [ + 543, + 8219 + ], + [ + 2105, + 9349 + ], + [ + 2229, + 4689 + ], + [ + 3277, + 9570 + ], + [ + 2432, + 5048 + ], + [ + 2476, + 10982 + ], + [ + 6022, + 7293 + ], + [ + 8697, + 11447 + ], + [ + 6145, + 9578 + ], + [ + 6262, + 10917 + ], + [ + 10343, + 10770 + ], + [ + 35, + 10637 + ], + [ + 4386, + 5655 + ], + [ + 2419, + 6691 + ], + [ + 533, + 1465 + ], + [ + 8748, + 10631 + ], + [ + 6566, + 8295 + ], + [ + 7622, + 10785 + ], + [ + 2644, + 8472 + ], + [ + 9922, + 10898 + ], + [ + 2539, + 4514 + ], + [ + 837, + 5259 + ], + [ + 2444, + 5408 + ], + [ + 8080, + 10882 + ], + [ + 2268, + 3462 + ], + [ + 1638, + 7230 + ], + [ + 1330, + 2159 + ], + [ + 1696, + 6454 + ], + [ + 11480, + 11505 + ], + [ + 10069, + 10544 + ], + [ + 4379, + 8217 + ], + [ + 2287, + 4643 + ], + [ + 7087, + 9845 + ], + [ + 8379, + 8670 + ], + [ + 2310, + 4812 + ], + [ + 2315, + 2904 + ], + [ + 3619, + 5496 + ], + [ + 1468, + 4725 + ], + [ + 4582, + 4789 + ], + [ + 6223, + 10184 + ], + [ + 6660, + 6775 + ], + [ + 7544, + 8219 + ], + [ + 8965, + 11396 + ], + [ + 462, + 4981 + ], + [ + 2154, + 11065 + ], + [ + 6659, + 9933 + ], + [ + 10026, + 11197 + ], + [ + 1268, + 9925 + ], + [ + 10328, + 10781 + ], + [ + 2945, + 8561 + ], + [ + 926, + 10161 + ], + [ + 5835, + 10425 + ], + [ + 1645, + 9094 + ], + [ + 3324, + 10809 + ], + [ + 7216, + 8511 + ], + [ + 2015, + 2211 + ], + [ + 1755, + 7010 + ], + [ + 691, + 3878 + ], + [ + 3313, + 4234 + ], + [ + 169, + 11121 + ], + [ + 3187, + 5815 + ], + [ + 9035, + 9482 + ], + [ + 3488, + 8961 + ], + [ + 4716, + 10215 + ], + [ + 5303, + 9783 + ], + [ + 5148, + 5708 + ], + [ + 882, + 10239 + ], + [ + 323, + 2139 + ], + [ + 158, + 382 + ], + [ + 2439, + 6861 + ], + [ + 3315, + 4280 + ], + [ + 3557, + 10229 + ], + [ + 6234, + 10292 + ], + [ + 2055, + 3488 + ], + [ + 1310, + 2580 + ], + [ + 2405, + 10660 + ], + [ + 4399, + 11447 + ], + [ + 3267, + 3485 + ], + [ + 8868, + 10658 + ], + [ + 3235, + 4701 + ], + [ + 1715, + 7180 + ], + [ + 1082, + 3103 + ], + [ + 154, + 9658 + ], + [ + 6183, + 9199 + ], + [ + 646, + 10120 + ], + [ + 4156, + 10938 + ], + [ + 4006, + 7207 + ], + [ + 9515, + 11408 + ], + [ + 7089, + 8712 + ], + [ + 1421, + 10116 + ], + [ + 1641, + 8170 + ], + [ + 2105, + 6584 + ], + [ + 7767, + 11027 + ], + [ + 5967, + 11237 + ], + [ + 979, + 5984 + ], + [ + 4960, + 8639 + ], + [ + 8707, + 9370 + ], + [ + 4929, + 7074 + ], + [ + 5831, + 9097 + ], + [ + 6417, + 8440 + ], + [ + 5090, + 11314 + ], + [ + 413, + 3479 + ], + [ + 4736, + 10035 + ], + [ + 1832, + 3577 + ], + [ + 1154, + 4645 + ], + [ + 806, + 3181 + ], + [ + 1800, + 11209 + ], + [ + 4164, + 6611 + ], + [ + 5998, + 9395 + ], + [ + 2235, + 8885 + ], + [ + 927, + 4639 + ], + [ + 92, + 7975 + ], + [ + 1585, + 10466 + ], + [ + 3321, + 6299 + ], + [ + 1829, + 6662 + ], + [ + 3293, + 10667 + ], + [ + 1509, + 11410 + ], + [ + 4380, + 8306 + ], + [ + 6312, + 8215 + ], + [ + 3540, + 4882 + ], + [ + 268, + 10271 + ], + [ + 2560, + 6359 + ], + [ + 8441, + 10166 + ], + [ + 502, + 5779 + ], + [ + 314, + 6482 + ], + [ + 5612, + 8928 + ], + [ + 5825, + 9975 + ], + [ + 572, + 3485 + ], + [ + 2585, + 10738 + ], + [ + 7685, + 8318 + ], + [ + 7659, + 9349 + ], + [ + 3485, + 6299 + ], + [ + 1599, + 7489 + ], + [ + 592, + 11307 + ], + [ + 1552, + 6919 + ], + [ + 748, + 5404 + ], + [ + 1617, + 5816 + ], + [ + 5935, + 11274 + ], + [ + 10953, + 11451 + ], + [ + 521, + 9562 + ], + [ + 10987, + 11035 + ], + [ + 1646, + 9937 + ], + [ + 4918, + 11341 + ], + [ + 6273, + 9734 + ], + [ + 2355, + 11565 + ], + [ + 4910, + 10699 + ], + [ + 579, + 3501 + ], + [ + 2225, + 2824 + ], + [ + 3092, + 8825 + ], + [ + 9198, + 11030 + ], + [ + 4721, + 11177 + ], + [ + 1794, + 10185 + ], + [ + 7227, + 8914 + ], + [ + 1251, + 6001 + ], + [ + 162, + 1119 + ], + [ + 2806, + 5960 + ], + [ + 3052, + 9399 + ], + [ + 970, + 3507 + ], + [ + 4058, + 5356 + ], + [ + 1718, + 8096 + ], + [ + 2804, + 2881 + ], + [ + 5257, + 9652 + ], + [ + 7590, + 9905 + ], + [ + 1501, + 3897 + ], + [ + 1284, + 5360 + ], + [ + 592, + 10502 + ], + [ + 876, + 3845 + ], + [ + 181, + 2300 + ], + [ + 1407, + 3481 + ], + [ + 2262, + 7967 + ], + [ + 6938, + 9161 + ], + [ + 3302, + 9924 + ], + [ + 1652, + 6695 + ], + [ + 1960, + 11012 + ], + [ + 745, + 1295 + ], + [ + 244, + 10169 + ], + [ + 430, + 2977 + ], + [ + 2952, + 5381 + ], + [ + 1204, + 5781 + ], + [ + 7993, + 8016 + ], + [ + 243, + 10698 + ], + [ + 854, + 8408 + ], + [ + 632, + 3111 + ], + [ + 4315, + 6301 + ], + [ + 3465, + 10103 + ], + [ + 2167, + 11463 + ], + [ + 6107, + 11111 + ], + [ + 295, + 3691 + ], + [ + 2626, + 9533 + ], + [ + 610, + 8398 + ], + [ + 5610, + 8026 + ], + [ + 2061, + 10663 + ], + [ + 7591, + 9325 + ], + [ + 3895, + 9283 + ], + [ + 339, + 5868 + ], + [ + 6295, + 11512 + ], + [ + 1832, + 4195 + ], + [ + 2117, + 7562 + ], + [ + 6260, + 8293 + ], + [ + 4978, + 10186 + ], + [ + 5671, + 7898 + ], + [ + 5633, + 11578 + ], + [ + 1583, + 6874 + ], + [ + 2980, + 9657 + ], + [ + 3608, + 9226 + ], + [ + 6254, + 7724 + ], + [ + 6880, + 11384 + ], + [ + 1641, + 4600 + ], + [ + 5104, + 9736 + ], + [ + 4109, + 10905 + ], + [ + 617, + 7660 + ], + [ + 1135, + 2927 + ], + [ + 6427, + 8591 + ], + [ + 3939, + 9181 + ], + [ + 5840, + 9777 + ], + [ + 1351, + 7655 + ], + [ + 5771, + 6974 + ], + [ + 6557, + 7883 + ], + [ + 826, + 5555 + ], + [ + 3312, + 8302 + ], + [ + 7768, + 8032 + ], + [ + 2467, + 10950 + ], + [ + 297, + 5211 + ], + [ + 230, + 3989 + ], + [ + 3869, + 6907 + ], + [ + 1854, + 5997 + ], + [ + 1220, + 1695 + ], + [ + 1404, + 2004 + ], + [ + 2651, + 3308 + ], + [ + 6350, + 7031 + ], + [ + 1367, + 8538 + ], + [ + 5510, + 9269 + ], + [ + 1936, + 4494 + ], + [ + 2863, + 11300 + ], + [ + 812, + 7727 + ], + [ + 8191, + 10205 + ], + [ + 8905, + 9548 + ], + [ + 10584, + 11263 + ], + [ + 2401, + 6516 + ], + [ + 3485, + 3884 + ], + [ + 379, + 7845 + ], + [ + 1238, + 3405 + ], + [ + 683, + 1840 + ], + [ + 6746, + 7381 + ], + [ + 4605, + 7298 + ], + [ + 1799, + 5135 + ], + [ + 398, + 9026 + ], + [ + 7374, + 10333 + ], + [ + 640, + 8559 + ], + [ + 6529, + 6565 + ], + [ + 4617, + 7308 + ], + [ + 2998, + 6398 + ], + [ + 3414, + 5522 + ], + [ + 575, + 7383 + ], + [ + 690, + 11305 + ], + [ + 1595, + 3046 + ], + [ + 6051, + 9192 + ], + [ + 2004, + 8169 + ], + [ + 3683, + 9884 + ], + [ + 1068, + 4283 + ], + [ + 2845, + 6533 + ], + [ + 2525, + 7117 + ], + [ + 5458, + 11307 + ], + [ + 7723, + 10867 + ], + [ + 7633, + 7941 + ], + [ + 5167, + 11508 + ], + [ + 6106, + 9249 + ], + [ + 991, + 8385 + ], + [ + 1372, + 11460 + ], + [ + 118, + 2569 + ], + [ + 2268, + 6121 + ], + [ + 1019, + 3236 + ], + [ + 2545, + 8119 + ], + [ + 547, + 4180 + ], + [ + 1079, + 11588 + ], + [ + 8866, + 11417 + ], + [ + 3756, + 5235 + ], + [ + 1409, + 6804 + ], + [ + 3721, + 8432 + ], + [ + 6986, + 8665 + ], + [ + 1793, + 7144 + ], + [ + 783, + 7281 + ], + [ + 7102, + 9779 + ], + [ + 7265, + 11463 + ], + [ + 1107, + 2652 + ], + [ + 3806, + 11364 + ], + [ + 2367, + 8355 + ], + [ + 5693, + 7366 + ], + [ + 407, + 4900 + ], + [ + 5790, + 10682 + ], + [ + 3365, + 10840 + ], + [ + 3888, + 5697 + ], + [ + 5044, + 6139 + ], + [ + 61, + 7646 + ], + [ + 2473, + 5748 + ], + [ + 2629, + 6261 + ], + [ + 6406, + 9086 + ], + [ + 4591, + 7510 + ], + [ + 2411, + 8253 + ], + [ + 1382, + 3422 + ], + [ + 3839, + 6185 + ], + [ + 1346, + 1513 + ], + [ + 3092, + 10866 + ], + [ + 1257, + 2195 + ], + [ + 2370, + 5219 + ], + [ + 231, + 5209 + ], + [ + 2185, + 2433 + ], + [ + 6260, + 11139 + ], + [ + 195, + 2519 + ], + [ + 5324, + 7253 + ], + [ + 5575, + 11036 + ], + [ + 819, + 5352 + ], + [ + 3587, + 11195 + ], + [ + 6008, + 7885 + ], + [ + 4368, + 5344 + ], + [ + 309, + 9222 + ], + [ + 2864, + 8356 + ], + [ + 4861, + 8660 + ], + [ + 6225, + 9051 + ], + [ + 7376, + 8395 + ], + [ + 549, + 6430 + ], + [ + 8300, + 10766 + ], + [ + 5037, + 8327 + ], + [ + 1487, + 10362 + ], + [ + 2488, + 5975 + ], + [ + 3014, + 5267 + ], + [ + 988, + 3444 + ], + [ + 7106, + 8692 + ], + [ + 2311, + 3834 + ], + [ + 1440, + 6759 + ], + [ + 4867, + 5822 + ], + [ + 104, + 5383 + ], + [ + 319, + 7257 + ], + [ + 3596, + 4841 + ], + [ + 7538, + 8322 + ], + [ + 1405, + 11087 + ], + [ + 5918, + 7187 + ], + [ + 559, + 2930 + ], + [ + 3800, + 5021 + ], + [ + 5381, + 10365 + ], + [ + 1581, + 9219 + ], + [ + 1119, + 10851 + ], + [ + 3359, + 8661 + ], + [ + 6553, + 10936 + ], + [ + 1417, + 11447 + ], + [ + 1544, + 7058 + ], + [ + 267, + 2879 + ], + [ + 1505, + 4097 + ], + [ + 4901, + 10263 + ], + [ + 285, + 6868 + ], + [ + 825, + 4338 + ], + [ + 5274, + 9313 + ], + [ + 8008, + 9910 + ], + [ + 1974, + 2855 + ], + [ + 4271, + 9867 + ], + [ + 287, + 6914 + ], + [ + 1089, + 1940 + ], + [ + 306, + 4712 + ], + [ + 5675, + 6624 + ], + [ + 30, + 9732 + ], + [ + 2055, + 7920 + ], + [ + 1148, + 8936 + ], + [ + 6031, + 7225 + ], + [ + 8410, + 10829 + ], + [ + 960, + 8885 + ], + [ + 740, + 4415 + ], + [ + 3024, + 4749 + ], + [ + 1085, + 7833 + ], + [ + 2026, + 5647 + ], + [ + 2702, + 8670 + ], + [ + 3792, + 9990 + ], + [ + 244, + 10600 + ], + [ + 4903, + 5771 + ], + [ + 1386, + 1530 + ], + [ + 1482, + 8408 + ], + [ + 763, + 2305 + ], + [ + 4412, + 6665 + ], + [ + 9577, + 10302 + ], + [ + 1976, + 8943 + ], + [ + 164, + 1222 + ], + [ + 5123, + 11372 + ], + [ + 5494, + 7343 + ], + [ + 3040, + 8261 + ], + [ + 1344, + 4687 + ], + [ + 1318, + 3466 + ], + [ + 5702, + 7292 + ], + [ + 2909, + 9498 + ], + [ + 266, + 8265 + ], + [ + 2284, + 9446 + ], + [ + 190, + 2793 + ], + [ + 10067, + 10287 + ], + [ + 1590, + 5093 + ], + [ + 3744, + 3883 + ], + [ + 1627, + 8358 + ], + [ + 787, + 10596 + ], + [ + 5758, + 7574 + ], + [ + 1188, + 5278 + ], + [ + 718, + 8547 + ], + [ + 6470, + 10254 + ], + [ + 3576, + 5238 + ], + [ + 778, + 6346 + ], + [ + 10292, + 11344 + ], + [ + 3454, + 9190 + ], + [ + 1393, + 4929 + ], + [ + 9235, + 9383 + ], + [ + 3263, + 3960 + ], + [ + 3925, + 8775 + ], + [ + 4006, + 7451 + ], + [ + 4935, + 10920 + ], + [ + 5405, + 6897 + ], + [ + 8641, + 8644 + ], + [ + 582, + 6407 + ], + [ + 3546, + 5746 + ], + [ + 5838, + 5998 + ], + [ + 2983, + 4320 + ], + [ + 3194, + 10956 + ], + [ + 672, + 2136 + ], + [ + 4317, + 9006 + ], + [ + 4692, + 8129 + ], + [ + 5595, + 9623 + ], + [ + 2942, + 7702 + ], + [ + 3568, + 4192 + ], + [ + 1099, + 4832 + ], + [ + 455, + 6982 + ], + [ + 3839, + 9381 + ], + [ + 9193, + 9507 + ], + [ + 1973, + 11223 + ], + [ + 1373, + 3122 + ], + [ + 1154, + 7922 + ], + [ + 256, + 356 + ], + [ + 6446, + 7170 + ], + [ + 3583, + 4473 + ], + [ + 2989, + 10150 + ], + [ + 4171, + 11059 + ], + [ + 5819, + 11209 + ], + [ + 9160, + 10498 + ], + [ + 8716, + 9326 + ], + [ + 3267, + 9340 + ], + [ + 3538, + 8113 + ], + [ + 2017, + 3574 + ], + [ + 1619, + 6911 + ], + [ + 10583, + 11469 + ], + [ + 5313, + 9536 + ], + [ + 5779, + 11029 + ], + [ + 9552, + 10729 + ], + [ + 3105, + 8231 + ], + [ + 1854, + 5273 + ], + [ + 10880, + 11463 + ], + [ + 3010, + 4961 + ], + [ + 5566, + 6949 + ], + [ + 1952, + 2775 + ], + [ + 5742, + 8114 + ], + [ + 2502, + 8877 + ], + [ + 697, + 8743 + ], + [ + 1793, + 1964 + ], + [ + 105, + 4667 + ], + [ + 1251, + 3667 + ], + [ + 2446, + 9699 + ], + [ + 8475, + 9240 + ], + [ + 7628, + 11061 + ], + [ + 4178, + 8042 + ], + [ + 2096, + 5156 + ], + [ + 812, + 10386 + ], + [ + 2874, + 8833 + ], + [ + 1907, + 5634 + ], + [ + 4137, + 8391 + ], + [ + 935, + 5474 + ], + [ + 4419, + 5071 + ], + [ + 1337, + 6420 + ], + [ + 530, + 1224 + ], + [ + 810, + 3493 + ], + [ + 4507, + 10553 + ], + [ + 3044, + 9402 + ], + [ + 2765, + 9987 + ], + [ + 5191, + 7021 + ], + [ + 9955, + 10314 + ], + [ + 6987, + 9321 + ], + [ + 9007, + 11329 + ], + [ + 2976, + 7955 + ], + [ + 6307, + 7310 + ], + [ + 3498, + 10511 + ], + [ + 3123, + 4218 + ], + [ + 8446, + 9949 + ], + [ + 5366, + 8715 + ], + [ + 8703, + 10514 + ], + [ + 4154, + 9095 + ], + [ + 4806, + 6806 + ], + [ + 7354, + 11185 + ], + [ + 408, + 4802 + ], + [ + 5074, + 7560 + ], + [ + 623, + 6676 + ], + [ + 8028, + 10375 + ], + [ + 1343, + 2801 + ], + [ + 5231, + 9429 + ], + [ + 1279, + 5260 + ], + [ + 692, + 7944 + ], + [ + 5824, + 9943 + ], + [ + 5941, + 10528 + ], + [ + 2556, + 8658 + ], + [ + 9467, + 9570 + ], + [ + 2488, + 7211 + ], + [ + 3825, + 5779 + ], + [ + 5755, + 11277 + ], + [ + 153, + 4633 + ], + [ + 7840, + 11428 + ], + [ + 2190, + 3612 + ], + [ + 1329, + 11389 + ], + [ + 6408, + 9590 + ], + [ + 360, + 11527 + ], + [ + 6249, + 8779 + ], + [ + 4659, + 6355 + ], + [ + 2756, + 5686 + ], + [ + 1753, + 6240 + ], + [ + 101, + 7102 + ], + [ + 3251, + 9829 + ], + [ + 9347, + 10592 + ], + [ + 1131, + 3453 + ], + [ + 3813, + 4614 + ], + [ + 2753, + 8798 + ], + [ + 3739, + 6385 + ], + [ + 356, + 4588 + ], + [ + 1404, + 3053 + ], + [ + 5798, + 7567 + ], + [ + 510, + 10690 + ], + [ + 2895, + 11133 + ], + [ + 384, + 5855 + ], + [ + 2177, + 2222 + ], + [ + 4642, + 4846 + ], + [ + 9001, + 10305 + ], + [ + 8624, + 10355 + ], + [ + 2079, + 11486 + ], + [ + 2860, + 11297 + ], + [ + 279, + 5280 + ], + [ + 6168, + 8948 + ], + [ + 7221, + 7757 + ], + [ + 3484, + 5462 + ], + [ + 53, + 8909 + ], + [ + 4129, + 8418 + ], + [ + 5972, + 8255 + ], + [ + 487, + 9366 + ], + [ + 922, + 2124 + ], + [ + 3170, + 6211 + ], + [ + 5833, + 8850 + ], + [ + 4502, + 7818 + ], + [ + 6895, + 8122 + ], + [ + 2993, + 10486 + ], + [ + 4221, + 5324 + ], + [ + 3873, + 8024 + ], + [ + 628, + 8443 + ], + [ + 4088, + 5734 + ], + [ + 7606, + 10577 + ], + [ + 9502, + 10829 + ], + [ + 5331, + 8050 + ], + [ + 123, + 6995 + ], + [ + 3930, + 7777 + ], + [ + 6602, + 7496 + ], + [ + 5327, + 10560 + ], + [ + 872, + 8022 + ], + [ + 6572, + 9539 + ], + [ + 4041, + 8547 + ], + [ + 871, + 8551 + ], + [ + 1993, + 2239 + ], + [ + 217, + 3597 + ], + [ + 1855, + 2305 + ], + [ + 3201, + 7752 + ], + [ + 21, + 9320 + ], + [ + 6029, + 7984 + ], + [ + 4909, + 8707 + ], + [ + 733, + 11246 + ], + [ + 6593, + 10766 + ], + [ + 525, + 4881 + ], + [ + 17, + 5414 + ], + [ + 765, + 7751 + ], + [ + 8674, + 9263 + ], + [ + 6900, + 8442 + ], + [ + 5773, + 7240 + ], + [ + 1974, + 6319 + ], + [ + 4274, + 10596 + ], + [ + 7331, + 10880 + ], + [ + 1657, + 4922 + ], + [ + 1417, + 8845 + ], + [ + 7296, + 7661 + ], + [ + 73, + 9860 + ], + [ + 4734, + 5858 + ], + [ + 5587, + 7989 + ], + [ + 566, + 6760 + ], + [ + 822, + 4471 + ], + [ + 3017, + 11206 + ], + [ + 5458, + 8518 + ], + [ + 928, + 11313 + ], + [ + 9811, + 10779 + ], + [ + 907, + 10436 + ], + [ + 967, + 4071 + ], + [ + 3587, + 3600 + ], + [ + 3826, + 10032 + ], + [ + 208, + 1575 + ], + [ + 1525, + 6284 + ], + [ + 2834, + 8466 + ], + [ + 1954, + 7895 + ], + [ + 8234, + 11219 + ], + [ + 5758, + 9160 + ], + [ + 796, + 11544 + ], + [ + 6431, + 7748 + ], + [ + 930, + 1910 + ], + [ + 4159, + 8902 + ], + [ + 3999, + 10899 + ], + [ + 231, + 9291 + ], + [ + 3309, + 4036 + ], + [ + 1765, + 8373 + ], + [ + 3286, + 8748 + ], + [ + 10507, + 10640 + ], + [ + 1445, + 2541 + ], + [ + 5586, + 6609 + ], + [ + 1608, + 4225 + ], + [ + 7325, + 9129 + ], + [ + 324, + 3039 + ], + [ + 5673, + 9237 + ], + [ + 3061, + 3153 + ], + [ + 692, + 991 + ], + [ + 2089, + 3774 + ], + [ + 2534, + 10806 + ], + [ + 3066, + 7661 + ], + [ + 6822, + 7754 + ], + [ + 13, + 10502 + ], + [ + 1063, + 3378 + ], + [ + 1224, + 10651 + ], + [ + 2900, + 5679 + ], + [ + 5425, + 8354 + ], + [ + 8219, + 9756 + ], + [ + 2429, + 9477 + ], + [ + 254, + 10564 + ], + [ + 3, + 365 + ], + [ + 4509, + 5874 + ], + [ + 1582, + 4882 + ], + [ + 6227, + 6763 + ], + [ + 2025, + 8835 + ], + [ + 877, + 6756 + ], + [ + 4662, + 9499 + ], + [ + 128, + 9112 + ], + [ + 5938, + 10043 + ], + [ + 124, + 5206 + ], + [ + 9645, + 11375 + ], + [ + 5717, + 8354 + ], + [ + 4538, + 11126 + ], + [ + 1455, + 3205 + ], + [ + 3591, + 8579 + ], + [ + 47, + 263 + ], + [ + 10134, + 11539 + ], + [ + 5812, + 8591 + ], + [ + 7083, + 8037 + ], + [ + 2900, + 7907 + ], + [ + 3240, + 4565 + ], + [ + 4370, + 9448 + ], + [ + 1187, + 4329 + ], + [ + 815, + 8887 + ], + [ + 3616, + 7296 + ], + [ + 3083, + 4581 + ], + [ + 1348, + 5186 + ], + [ + 5044, + 5228 + ], + [ + 2251, + 6680 + ], + [ + 6045, + 7257 + ], + [ + 2654, + 11234 + ], + [ + 6104, + 7837 + ], + [ + 5504, + 9535 + ], + [ + 8121, + 9547 + ], + [ + 4136, + 9402 + ], + [ + 1113, + 8702 + ], + [ + 992, + 10627 + ], + [ + 6477, + 10270 + ], + [ + 4472, + 8570 + ], + [ + 8261, + 8803 + ], + [ + 2411, + 4309 + ], + [ + 699, + 6618 + ], + [ + 4530, + 6296 + ], + [ + 1302, + 2158 + ], + [ + 9267, + 11149 + ], + [ + 141, + 11171 + ], + [ + 669, + 11290 + ], + [ + 982, + 6125 + ], + [ + 7704, + 10548 + ], + [ + 3566, + 10161 + ], + [ + 3277, + 3642 + ], + [ + 4097, + 9797 + ], + [ + 5083, + 10794 + ], + [ + 5268, + 9793 + ], + [ + 6732, + 9634 + ], + [ + 4122, + 4377 + ], + [ + 4922, + 9156 + ], + [ + 3776, + 7904 + ], + [ + 8447, + 11006 + ], + [ + 2332, + 5305 + ], + [ + 9367, + 10225 + ], + [ + 1831, + 7009 + ], + [ + 7197, + 9404 + ], + [ + 3584, + 4701 + ], + [ + 2121, + 3550 + ], + [ + 4829, + 10096 + ], + [ + 5235, + 10784 + ], + [ + 2921, + 8329 + ], + [ + 4724, + 5384 + ], + [ + 1296, + 6850 + ], + [ + 5287, + 10193 + ], + [ + 6925, + 9655 + ], + [ + 3979, + 4449 + ], + [ + 651, + 9529 + ], + [ + 1169, + 11212 + ], + [ + 9429, + 11453 + ], + [ + 6309, + 10820 + ], + [ + 2311, + 9689 + ], + [ + 2, + 1162 + ], + [ + 2133, + 11080 + ], + [ + 941, + 8729 + ], + [ + 5398, + 11313 + ], + [ + 8070, + 11032 + ], + [ + 3676, + 6518 + ], + [ + 5367, + 9748 + ], + [ + 3454, + 6856 + ], + [ + 2549, + 8699 + ], + [ + 7010, + 8773 + ], + [ + 6783, + 9548 + ], + [ + 5253, + 7175 + ], + [ + 9428, + 10073 + ], + [ + 7439, + 8132 + ], + [ + 2514, + 8863 + ], + [ + 3794, + 4645 + ], + [ + 1273, + 10757 + ], + [ + 5523, + 5723 + ], + [ + 2202, + 5558 + ], + [ + 7212, + 8126 + ], + [ + 5193, + 6720 + ], + [ + 4154, + 8371 + ], + [ + 4811, + 6426 + ], + [ + 1948, + 7139 + ], + [ + 1177, + 8016 + ], + [ + 1015, + 9186 + ], + [ + 3074, + 11122 + ], + [ + 7864, + 9220 + ], + [ + 5612, + 7643 + ], + [ + 7052, + 7090 + ], + [ + 944, + 4812 + ], + [ + 1950, + 7185 + ], + [ + 6015, + 6535 + ], + [ + 7766, + 9816 + ], + [ + 385, + 4259 + ], + [ + 1073, + 3879 + ], + [ + 5553, + 7413 + ], + [ + 3547, + 10029 + ], + [ + 3875, + 9306 + ], + [ + 8352, + 9159 + ], + [ + 8161, + 10345 + ], + [ + 6359, + 9728 + ], + [ + 380, + 2380 + ], + [ + 2842, + 5487 + ], + [ + 6293, + 11360 + ], + [ + 1907, + 10871 + ], + [ + 4641, + 11468 + ], + [ + 2578, + 6380 + ], + [ + 962, + 9151 + ], + [ + 2799, + 5790 + ], + [ + 5309, + 6679 + ], + [ + 1334, + 1560 + ], + [ + 991, + 4604 + ], + [ + 2851, + 5199 + ], + [ + 7121, + 11367 + ], + [ + 8575, + 10520 + ], + [ + 581, + 8678 + ], + [ + 1949, + 6559 + ], + [ + 1643, + 3069 + ], + [ + 7279, + 8543 + ], + [ + 1114, + 2725 + ], + [ + 4844, + 8013 + ], + [ + 6251, + 11484 + ], + [ + 4436, + 10662 + ], + [ + 2039, + 6452 + ], + [ + 7543, + 10309 + ], + [ + 927, + 6282 + ], + [ + 9048, + 10151 + ], + [ + 117, + 815 + ], + [ + 3969, + 5534 + ], + [ + 4557, + 5704 + ], + [ + 4078, + 5477 + ], + [ + 7042, + 8980 + ], + [ + 657, + 7360 + ], + [ + 1054, + 4552 + ], + [ + 1103, + 11584 + ], + [ + 2872, + 9809 + ], + [ + 4455, + 4646 + ], + [ + 3615, + 6884 + ], + [ + 1960, + 3311 + ], + [ + 4112, + 7690 + ], + [ + 3701, + 6658 + ], + [ + 406, + 544 + ], + [ + 5261, + 6207 + ], + [ + 1395, + 4064 + ], + [ + 4010, + 7413 + ], + [ + 7538, + 9534 + ], + [ + 3362, + 5657 + ], + [ + 10774, + 11281 + ], + [ + 2147, + 8772 + ], + [ + 10672, + 11004 + ], + [ + 5151, + 5288 + ], + [ + 7812, + 11234 + ], + [ + 718, + 11369 + ], + [ + 5653, + 6438 + ], + [ + 390, + 5676 + ], + [ + 8336, + 9699 + ], + [ + 7455, + 9684 + ], + [ + 3754, + 5888 + ], + [ + 574, + 10866 + ], + [ + 5343, + 8841 + ], + [ + 5341, + 8014 + ], + [ + 9257, + 9520 + ], + [ + 3402, + 4682 + ], + [ + 1099, + 4271 + ], + [ + 890, + 6349 + ], + [ + 5993, + 9108 + ], + [ + 6537, + 9760 + ], + [ + 4458, + 10555 + ], + [ + 3687, + 11432 + ], + [ + 3589, + 7891 + ], + [ + 1101, + 4317 + ], + [ + 2457, + 6345 + ], + [ + 2964, + 7839 + ], + [ + 2585, + 11226 + ], + [ + 8091, + 9494 + ], + [ + 185, + 7499 + ], + [ + 1219, + 2094 + ], + [ + 3552, + 8763 + ], + [ + 2082, + 4189 + ], + [ + 903, + 6961 + ], + [ + 2800, + 10067 + ], + [ + 1179, + 6078 + ], + [ + 5473, + 6978 + ], + [ + 1333, + 9928 + ], + [ + 3826, + 7430 + ], + [ + 7735, + 8519 + ], + [ + 830, + 10805 + ], + [ + 646, + 8998 + ], + [ + 3473, + 5622 + ], + [ + 711, + 7141 + ], + [ + 2230, + 6689 + ], + [ + 945, + 2649 + ], + [ + 5313, + 5942 + ], + [ + 9208, + 9577 + ], + [ + 8945, + 10695 + ], + [ + 196, + 841 + ], + [ + 1478, + 2331 + ], + [ + 2097, + 10482 + ], + [ + 1058, + 3465 + ], + [ + 4860, + 10319 + ], + [ + 8354, + 10604 + ], + [ + 6503, + 10125 + ], + [ + 1897, + 7418 + ], + [ + 386, + 1315 + ], + [ + 752, + 11272 + ], + [ + 2526, + 3425 + ], + [ + 595, + 11288 + ], + [ + 2312, + 9323 + ], + [ + 2066, + 5884 + ], + [ + 502, + 2429 + ], + [ + 5226, + 8575 + ], + [ + 7251, + 10927 + ], + [ + 6716, + 7385 + ], + [ + 819, + 10215 + ], + [ + 5348, + 10258 + ], + [ + 1120, + 11109 + ], + [ + 2271, + 6289 + ], + [ + 9399, + 11400 + ], + [ + 4953, + 6696 + ], + [ + 4330, + 7471 + ], + [ + 2974, + 4719 + ], + [ + 3548, + 7435 + ], + [ + 8238, + 8335 + ], + [ + 1509, + 6905 + ], + [ + 2725, + 6644 + ], + [ + 8619, + 11410 + ], + [ + 1443, + 2121 + ], + [ + 7402, + 11446 + ], + [ + 668, + 5508 + ], + [ + 4757, + 9386 + ], + [ + 7916, + 9223 + ], + [ + 7952, + 8880 + ], + [ + 2936, + 11001 + ], + [ + 6205, + 8724 + ], + [ + 2342, + 10262 + ], + [ + 2529, + 3672 + ], + [ + 2437, + 10499 + ], + [ + 1912, + 7645 + ], + [ + 5823, + 8807 + ], + [ + 1129, + 11171 + ], + [ + 1502, + 9467 + ], + [ + 4428, + 10234 + ], + [ + 2203, + 7070 + ], + [ + 4355, + 11449 + ], + [ + 6036, + 6821 + ], + [ + 7751, + 10445 + ], + [ + 1242, + 11233 + ], + [ + 2261, + 4796 + ], + [ + 27, + 7932 + ], + [ + 2446, + 3795 + ], + [ + 1370, + 9698 + ], + [ + 7779, + 9460 + ], + [ + 5403, + 6127 + ], + [ + 7710, + 11575 + ], + [ + 2015, + 4740 + ], + [ + 2016, + 7594 + ], + [ + 6555, + 9079 + ], + [ + 1911, + 3636 + ], + [ + 7172, + 7735 + ], + [ + 1172, + 6680 + ], + [ + 2041, + 2928 + ], + [ + 3508, + 6450 + ], + [ + 6111, + 8284 + ], + [ + 1567, + 7209 + ], + [ + 569, + 8107 + ], + [ + 1847, + 3062 + ], + [ + 7550, + 10512 + ], + [ + 602, + 9718 + ], + [ + 1445, + 11161 + ], + [ + 822, + 5520 + ], + [ + 7503, + 9942 + ], + [ + 1942, + 5551 + ], + [ + 1529, + 10108 + ], + [ + 1434, + 3832 + ], + [ + 8192, + 10918 + ], + [ + 3274, + 6404 + ], + [ + 1152, + 4119 + ], + [ + 9113, + 9985 + ], + [ + 711, + 10792 + ], + [ + 28, + 936 + ], + [ + 5998, + 9696 + ], + [ + 5626, + 7838 + ], + [ + 6630, + 10138 + ], + [ + 6491, + 6596 + ], + [ + 8022, + 8413 + ], + [ + 6207, + 7591 + ], + [ + 1580, + 4007 + ], + [ + 169, + 9462 + ], + [ + 337, + 11490 + ], + [ + 640, + 9047 + ], + [ + 4664, + 8366 + ], + [ + 5600, + 5836 + ], + [ + 573, + 1409 + ], + [ + 3718, + 3792 + ], + [ + 2296, + 9058 + ], + [ + 1890, + 8370 + ], + [ + 2079, + 11275 + ], + [ + 1019, + 11295 + ], + [ + 456, + 9869 + ], + [ + 384, + 7522 + ], + [ + 4028, + 11538 + ], + [ + 6201, + 9624 + ], + [ + 5012, + 5292 + ], + [ + 2245, + 8719 + ], + [ + 9127, + 10391 + ], + [ + 1404, + 1687 + ], + [ + 5175, + 6976 + ], + [ + 3016, + 7842 + ], + [ + 261, + 6368 + ], + [ + 4486, + 9383 + ], + [ + 4732, + 8658 + ], + [ + 7564, + 10544 + ], + [ + 6222, + 7468 + ], + [ + 281, + 1358 + ], + [ + 1810, + 5758 + ], + [ + 2668, + 3345 + ], + [ + 7222, + 10026 + ], + [ + 1360, + 10433 + ], + [ + 5226, + 6160 + ], + [ + 799, + 5670 + ], + [ + 8641, + 10124 + ], + [ + 771, + 3622 + ], + [ + 1760, + 11306 + ], + [ + 4341, + 5245 + ], + [ + 2386, + 7796 + ], + [ + 4790, + 5980 + ], + [ + 2001, + 11368 + ], + [ + 1784, + 6415 + ], + [ + 6869, + 8568 + ], + [ + 2230, + 9885 + ], + [ + 2376, + 9710 + ], + [ + 2911, + 6836 + ], + [ + 1538, + 6359 + ], + [ + 9323, + 10279 + ], + [ + 2812, + 10240 + ], + [ + 3268, + 4629 + ], + [ + 6080, + 10744 + ], + [ + 292, + 7128 + ], + [ + 4077, + 9871 + ], + [ + 7163, + 8641 + ], + [ + 2715, + 3110 + ], + [ + 6944, + 10031 + ], + [ + 8654, + 11059 + ], + [ + 2957, + 9059 + ], + [ + 994, + 8339 + ], + [ + 1990, + 10024 + ], + [ + 1543, + 2165 + ], + [ + 2045, + 3315 + ], + [ + 1355, + 2868 + ], + [ + 4567, + 6473 + ], + [ + 394, + 7031 + ], + [ + 1579, + 8211 + ], + [ + 7207, + 7408 + ], + [ + 7766, + 9092 + ], + [ + 2580, + 3824 + ], + [ + 5312, + 10764 + ], + [ + 882, + 3587 + ], + [ + 5250, + 7634 + ], + [ + 52, + 7267 + ], + [ + 6953, + 9743 + ], + [ + 599, + 7436 + ], + [ + 2660, + 5281 + ], + [ + 321, + 10875 + ], + [ + 1844, + 5661 + ], + [ + 5646, + 6853 + ], + [ + 792, + 10460 + ], + [ + 1544, + 6123 + ], + [ + 3280, + 8372 + ], + [ + 3810, + 5154 + ], + [ + 5642, + 9363 + ], + [ + 565, + 5573 + ], + [ + 3997, + 7232 + ], + [ + 9095, + 9647 + ], + [ + 9193, + 10182 + ], + [ + 3555, + 3881 + ], + [ + 7159, + 10750 + ], + [ + 3934, + 6129 + ], + [ + 1687, + 4896 + ], + [ + 1382, + 10676 + ], + [ + 852, + 8232 + ], + [ + 7379, + 11433 + ], + [ + 6135, + 9646 + ], + [ + 7164, + 8061 + ], + [ + 5564, + 10611 + ], + [ + 3053, + 5333 + ], + [ + 1861, + 3736 + ], + [ + 563, + 5096 + ], + [ + 4143, + 6653 + ], + [ + 5853, + 7681 + ], + [ + 4572, + 6012 + ], + [ + 334, + 8427 + ], + [ + 1943, + 2233 + ], + [ + 3940, + 8953 + ], + [ + 5779, + 8671 + ], + [ + 4370, + 8537 + ], + [ + 2190, + 2864 + ], + [ + 5345, + 5935 + ], + [ + 5529, + 7742 + ], + [ + 2605, + 11185 + ], + [ + 971, + 2073 + ], + [ + 2066, + 10153 + ], + [ + 5402, + 9852 + ], + [ + 3029, + 3784 + ], + [ + 1031, + 5507 + ], + [ + 511, + 7915 + ], + [ + 3310, + 8907 + ], + [ + 7441, + 8877 + ], + [ + 9614, + 11127 + ], + [ + 4824, + 6613 + ], + [ + 2499, + 10385 + ], + [ + 4856, + 11032 + ], + [ + 3682, + 8486 + ], + [ + 2118, + 10693 + ], + [ + 2519, + 4621 + ], + [ + 7653, + 9699 + ], + [ + 8711, + 8852 + ], + [ + 4356, + 9928 + ], + [ + 6729, + 7328 + ], + [ + 5476, + 7707 + ], + [ + 6658, + 8616 + ], + [ + 2556, + 3722 + ], + [ + 7910, + 11018 + ], + [ + 1238, + 10122 + ], + [ + 3354, + 7674 + ], + [ + 2550, + 10323 + ], + [ + 4128, + 4816 + ], + [ + 7923, + 8247 + ], + [ + 8050, + 10274 + ], + [ + 3814, + 6346 + ], + [ + 1885, + 10872 + ], + [ + 6838, + 10654 + ], + [ + 4123, + 7855 + ], + [ + 5741, + 11546 + ], + [ + 9574, + 11297 + ], + [ + 1166, + 1736 + ], + [ + 5966, + 7692 + ], + [ + 7166, + 8426 + ], + [ + 1724, + 3168 + ], + [ + 1409, + 8260 + ], + [ + 5351, + 10987 + ], + [ + 977, + 1433 + ], + [ + 1254, + 4185 + ], + [ + 2429, + 10339 + ], + [ + 1403, + 9943 + ], + [ + 7913, + 10511 + ], + [ + 800, + 5708 + ], + [ + 8929, + 9438 + ], + [ + 1954, + 4569 + ], + [ + 1421, + 1854 + ], + [ + 5873, + 10510 + ], + [ + 54, + 1165 + ], + [ + 7495, + 10937 + ], + [ + 4945, + 6485 + ], + [ + 1759, + 1849 + ], + [ + 9354, + 11307 + ], + [ + 4089, + 7466 + ], + [ + 6463, + 10726 + ], + [ + 4277, + 10900 + ], + [ + 4213, + 9195 + ], + [ + 476, + 2736 + ], + [ + 10405, + 10420 + ], + [ + 3377, + 5890 + ], + [ + 3898, + 4838 + ], + [ + 841, + 7937 + ], + [ + 1426, + 4426 + ], + [ + 4519, + 6619 + ], + [ + 3886, + 6706 + ], + [ + 1504, + 9944 + ], + [ + 2965, + 3852 + ], + [ + 5795, + 11327 + ], + [ + 1650, + 9769 + ], + [ + 652, + 10667 + ], + [ + 1989, + 6983 + ], + [ + 7990, + 10892 + ], + [ + 1831, + 9026 + ], + [ + 3039, + 4740 + ], + [ + 6803, + 8858 + ], + [ + 6524, + 7191 + ], + [ + 3377, + 4735 + ], + [ + 3380, + 8416 + ], + [ + 6088, + 10044 + ], + [ + 9790, + 11032 + ], + [ + 1034, + 7177 + ], + [ + 8196, + 11118 + ], + [ + 8316, + 9722 + ], + [ + 2813, + 9473 + ], + [ + 3711, + 4207 + ], + [ + 3433, + 7646 + ], + [ + 2779, + 6856 + ], + [ + 3701, + 6902 + ], + [ + 8467, + 10241 + ], + [ + 7180, + 11036 + ], + [ + 2137, + 8328 + ], + [ + 740, + 3293 + ], + [ + 5406, + 6051 + ], + [ + 6940, + 11549 + ], + [ + 11109, + 11249 + ], + [ + 2293, + 2425 + ], + [ + 7530, + 8382 + ], + [ + 5011, + 9659 + ], + [ + 1109, + 4853 + ], + [ + 10042, + 10852 + ], + [ + 9018, + 10529 + ], + [ + 9890, + 11212 + ], + [ + 2672, + 8837 + ], + [ + 7309, + 10857 + ], + [ + 3725, + 7646 + ], + [ + 2378, + 8390 + ], + [ + 454, + 6844 + ], + [ + 3093, + 4171 + ], + [ + 734, + 2697 + ], + [ + 10286, + 10431 + ], + [ + 1607, + 5480 + ], + [ + 2440, + 6235 + ], + [ + 5177, + 7103 + ], + [ + 631, + 4447 + ], + [ + 3406, + 5799 + ], + [ + 94, + 4996 + ], + [ + 9751, + 10272 + ], + [ + 3061, + 8016 + ], + [ + 9995, + 10632 + ], + [ + 1060, + 3806 + ], + [ + 2616, + 4367 + ], + [ + 3233, + 3777 + ], + [ + 1395, + 9919 + ], + [ + 65, + 6106 + ], + [ + 182, + 1029 + ], + [ + 715, + 7908 + ], + [ + 1954, + 5187 + ], + [ + 4923, + 9034 + ], + [ + 8405, + 8558 + ], + [ + 3037, + 9500 + ], + [ + 729, + 4581 + ], + [ + 9703, + 10581 + ], + [ + 8180, + 9379 + ], + [ + 3445, + 3818 + ], + [ + 4274, + 7083 + ], + [ + 7666, + 10097 + ], + [ + 606, + 9062 + ], + [ + 2067, + 2970 + ], + [ + 5885, + 8105 + ], + [ + 2564, + 3022 + ], + [ + 9754, + 9765 + ], + [ + 3152, + 10362 + ], + [ + 2615, + 3741 + ], + [ + 5400, + 8033 + ], + [ + 99, + 4535 + ], + [ + 1036, + 11275 + ], + [ + 9773, + 10946 + ], + [ + 1533, + 5665 + ], + [ + 411, + 8971 + ], + [ + 1968, + 9757 + ], + [ + 5919, + 7285 + ], + [ + 530, + 10356 + ], + [ + 3601, + 7340 + ], + [ + 5903, + 8280 + ], + [ + 6524, + 10842 + ], + [ + 646, + 11470 + ], + [ + 4215, + 6452 + ], + [ + 6580, + 11124 + ], + [ + 18, + 2452 + ], + [ + 2626, + 6882 + ], + [ + 9914, + 9996 + ], + [ + 4000, + 7961 + ], + [ + 6328, + 7870 + ], + [ + 1383, + 5697 + ], + [ + 739, + 7847 + ], + [ + 944, + 4869 + ], + [ + 5025, + 8886 + ], + [ + 2222, + 5486 + ], + [ + 572, + 2257 + ], + [ + 7540, + 10119 + ], + [ + 7421, + 8707 + ], + [ + 4907, + 10328 + ], + [ + 661, + 5712 + ], + [ + 7393, + 10823 + ], + [ + 6667, + 10719 + ], + [ + 414, + 11470 + ], + [ + 9060, + 11023 + ], + [ + 1539, + 9593 + ], + [ + 5897, + 8034 + ], + [ + 7323, + 9303 + ], + [ + 5394, + 6659 + ], + [ + 2641, + 7540 + ], + [ + 7338, + 9611 + ], + [ + 5324, + 11555 + ], + [ + 2647, + 5076 + ], + [ + 2523, + 6730 + ], + [ + 8376, + 10741 + ], + [ + 11201, + 11456 + ], + [ + 5129, + 8081 + ], + [ + 4286, + 7392 + ], + [ + 5468, + 8301 + ], + [ + 4258, + 5344 + ], + [ + 5283, + 7767 + ], + [ + 1262, + 6467 + ], + [ + 3080, + 10970 + ], + [ + 3810, + 4430 + ], + [ + 6627, + 10889 + ], + [ + 2326, + 2402 + ], + [ + 5407, + 7244 + ], + [ + 10324, + 11533 + ], + [ + 2545, + 10811 + ], + [ + 978, + 3675 + ], + [ + 8448, + 8523 + ], + [ + 1964, + 10307 + ], + [ + 4612, + 5468 + ], + [ + 2873, + 9337 + ], + [ + 1476, + 4302 + ], + [ + 4184, + 5930 + ], + [ + 414, + 10665 + ], + [ + 906, + 3957 + ], + [ + 3588, + 9282 + ], + [ + 656, + 10198 + ], + [ + 3181, + 10621 + ], + [ + 1404, + 6119 + ], + [ + 3494, + 8866 + ], + [ + 3303, + 5134 + ], + [ + 3769, + 4375 + ], + [ + 8681, + 10572 + ], + [ + 183, + 4501 + ], + [ + 8488, + 10931 + ], + [ + 6437, + 7358 + ], + [ + 3202, + 8465 + ], + [ + 497, + 6354 + ], + [ + 2076, + 10117 + ], + [ + 918, + 8104 + ], + [ + 3975, + 7634 + ], + [ + 1736, + 4764 + ], + [ + 9702, + 10974 + ], + [ + 550, + 6365 + ], + [ + 240, + 5385 + ], + [ + 1014, + 4779 + ], + [ + 4868, + 5407 + ], + [ + 5081, + 6454 + ], + [ + 6199, + 9822 + ], + [ + 3969, + 4786 + ], + [ + 4120, + 10617 + ], + [ + 10097, + 10722 + ], + [ + 3304, + 5335 + ], + [ + 1996, + 8259 + ], + [ + 2932, + 5729 + ], + [ + 6235, + 8698 + ], + [ + 2905, + 4283 + ], + [ + 3829, + 7408 + ], + [ + 410, + 10118 + ], + [ + 2086, + 8152 + ], + [ + 8350, + 10943 + ], + [ + 4957, + 11464 + ], + [ + 3546, + 4087 + ], + [ + 373, + 10236 + ], + [ + 8740, + 10347 + ], + [ + 4786, + 6105 + ], + [ + 7093, + 11553 + ], + [ + 1202, + 6304 + ], + [ + 460, + 5667 + ], + [ + 1422, + 2106 + ], + [ + 7332, + 7405 + ], + [ + 4656, + 10196 + ], + [ + 3854, + 8754 + ], + [ + 9071, + 9171 + ], + [ + 5337, + 6393 + ], + [ + 141, + 437 + ], + [ + 2190, + 8101 + ], + [ + 2067, + 9199 + ], + [ + 4550, + 6013 + ], + [ + 2962, + 4416 + ], + [ + 9, + 10871 + ], + [ + 1845, + 3902 + ], + [ + 7608, + 9151 + ], + [ + 2085, + 6772 + ], + [ + 510, + 5380 + ], + [ + 3994, + 11393 + ], + [ + 7167, + 9408 + ], + [ + 2707, + 6526 + ], + [ + 1528, + 11550 + ], + [ + 0, + 10004 + ], + [ + 683, + 7028 + ], + [ + 2608, + 5766 + ], + [ + 3327, + 5453 + ], + [ + 1835, + 3564 + ], + [ + 3987, + 7189 + ], + [ + 1611, + 3856 + ], + [ + 1244, + 8758 + ], + [ + 1084, + 11509 + ], + [ + 8348, + 10065 + ], + [ + 5098, + 9386 + ], + [ + 678, + 3651 + ], + [ + 4227, + 4397 + ], + [ + 271, + 11406 + ], + [ + 3609, + 5516 + ], + [ + 7115, + 11096 + ], + [ + 5353, + 7626 + ], + [ + 1353, + 5668 + ], + [ + 40, + 5996 + ], + [ + 4553, + 5506 + ], + [ + 4346, + 8411 + ], + [ + 234, + 2829 + ], + [ + 8358, + 10379 + ], + [ + 5770, + 8853 + ], + [ + 176, + 2070 + ], + [ + 2385, + 6983 + ], + [ + 3428, + 4350 + ], + [ + 7889, + 10840 + ], + [ + 6736, + 8417 + ], + [ + 3028, + 6860 + ], + [ + 1911, + 11264 + ], + [ + 4358, + 8421 + ], + [ + 1971, + 11315 + ], + [ + 1555, + 2769 + ], + [ + 2862, + 9042 + ], + [ + 10427, + 10744 + ], + [ + 1530, + 5156 + ], + [ + 5141, + 9032 + ], + [ + 1116, + 9488 + ], + [ + 2145, + 3739 + ], + [ + 2544, + 7420 + ], + [ + 3925, + 5506 + ], + [ + 1590, + 2174 + ], + [ + 740, + 10140 + ], + [ + 2519, + 9053 + ], + [ + 10428, + 11319 + ], + [ + 7837, + 10276 + ], + [ + 3448, + 6106 + ], + [ + 3855, + 10402 + ], + [ + 273, + 5012 + ], + [ + 7962, + 9224 + ], + [ + 9271, + 11406 + ], + [ + 4562, + 5568 + ], + [ + 3073, + 3196 + ], + [ + 8300, + 8465 + ], + [ + 3945, + 10295 + ], + [ + 6565, + 9824 + ], + [ + 333, + 9200 + ], + [ + 2043, + 10228 + ], + [ + 1817, + 9693 + ], + [ + 11217, + 11371 + ], + [ + 5207, + 8874 + ], + [ + 482, + 8919 + ], + [ + 2246, + 2636 + ], + [ + 2528, + 5732 + ], + [ + 630, + 5407 + ], + [ + 1406, + 5628 + ], + [ + 2429, + 4972 + ], + [ + 2222, + 7877 + ], + [ + 4044, + 9146 + ], + [ + 3736, + 4829 + ], + [ + 3703, + 8853 + ], + [ + 251, + 5761 + ], + [ + 6285, + 6400 + ], + [ + 9275, + 11124 + ], + [ + 1674, + 3349 + ], + [ + 5693, + 6488 + ], + [ + 4488, + 10291 + ], + [ + 1152, + 4176 + ], + [ + 713, + 7512 + ], + [ + 1220, + 9006 + ], + [ + 207, + 2456 + ], + [ + 1151, + 4705 + ], + [ + 767, + 7748 + ], + [ + 6214, + 11071 + ], + [ + 5190, + 10748 + ], + [ + 7735, + 9194 + ], + [ + 3628, + 3956 + ], + [ + 4476, + 5743 + ], + [ + 1138, + 2965 + ], + [ + 570, + 4201 + ], + [ + 3155, + 4675 + ], + [ + 6638, + 7053 + ], + [ + 4626, + 9070 + ], + [ + 6076, + 10733 + ], + [ + 2129, + 7662 + ], + [ + 1747, + 11532 + ], + [ + 1192, + 9967 + ], + [ + 8286, + 9832 + ], + [ + 6515, + 11534 + ], + [ + 9239, + 11443 + ], + [ + 1909, + 2411 + ], + [ + 3829, + 7221 + ], + [ + 4570, + 7633 + ], + [ + 3337, + 10142 + ], + [ + 7628, + 11525 + ], + [ + 1988, + 3643 + ], + [ + 6475, + 9102 + ], + [ + 1395, + 6512 + ], + [ + 7248, + 8271 + ], + [ + 2377, + 4357 + ], + [ + 1167, + 7816 + ], + [ + 6552, + 9507 + ], + [ + 3940, + 7587 + ], + [ + 4936, + 5862 + ], + [ + 175, + 6250 + ], + [ + 15, + 1831 + ], + [ + 2408, + 9305 + ], + [ + 6570, + 7834 + ], + [ + 8949, + 10684 + ], + [ + 2194, + 8033 + ], + [ + 4518, + 6288 + ], + [ + 514, + 2683 + ], + [ + 2524, + 4003 + ], + [ + 3365, + 4619 + ], + [ + 3215, + 7304 + ], + [ + 5486, + 6679 + ], + [ + 3404, + 3793 + ], + [ + 5197, + 6576 + ], + [ + 441, + 7308 + ], + [ + 3684, + 10226 + ], + [ + 3679, + 5718 + ], + [ + 9966, + 10967 + ], + [ + 8630, + 9591 + ], + [ + 3273, + 8413 + ], + [ + 162, + 4860 + ], + [ + 6227, + 7064 + ], + [ + 1557, + 6816 + ], + [ + 6682, + 7644 + ], + [ + 2647, + 8890 + ], + [ + 1231, + 7585 + ], + [ + 3758, + 11087 + ], + [ + 4730, + 8214 + ], + [ + 7311, + 8569 + ], + [ + 1485, + 8633 + ], + [ + 1041, + 10871 + ], + [ + 555, + 7945 + ], + [ + 7950, + 10956 + ], + [ + 4440, + 8640 + ], + [ + 3350, + 3533 + ], + [ + 349, + 6564 + ], + [ + 5577, + 9025 + ], + [ + 4734, + 7582 + ], + [ + 7017, + 8472 + ], + [ + 35, + 2432 + ], + [ + 4212, + 8409 + ], + [ + 2722, + 3183 + ], + [ + 6237, + 10761 + ], + [ + 1913, + 7740 + ], + [ + 1624, + 7637 + ], + [ + 5858, + 7732 + ], + [ + 8880, + 8961 + ], + [ + 2767, + 5585 + ], + [ + 155, + 5917 + ], + [ + 1870, + 7289 + ], + [ + 5622, + 8394 + ], + [ + 1520, + 3500 + ], + [ + 4753, + 5730 + ], + [ + 519, + 1848 + ], + [ + 1057, + 4907 + ], + [ + 5750, + 10242 + ], + [ + 3604, + 9815 + ], + [ + 5650, + 5874 + ], + [ + 2348, + 3507 + ], + [ + 135, + 8274 + ], + [ + 4807, + 7814 + ], + [ + 1716, + 5667 + ], + [ + 1654, + 4789 + ], + [ + 8376, + 9212 + ], + [ + 3594, + 8723 + ], + [ + 3749, + 6382 + ], + [ + 447, + 6267 + ], + [ + 2152, + 6951 + ], + [ + 2398, + 3220 + ], + [ + 4338, + 9406 + ], + [ + 5916, + 11069 + ], + [ + 9302, + 9377 + ], + [ + 8494, + 10372 + ], + [ + 3513, + 6290 + ], + [ + 2171, + 3968 + ], + [ + 1302, + 1304 + ], + [ + 548, + 8978 + ], + [ + 1429, + 10124 + ], + [ + 7869, + 11451 + ], + [ + 7642, + 8062 + ], + [ + 3237, + 10529 + ], + [ + 1978, + 6956 + ], + [ + 4254, + 6675 + ], + [ + 9393, + 9845 + ], + [ + 9073, + 10429 + ], + [ + 5817, + 10659 + ], + [ + 2252, + 9410 + ], + [ + 9533, + 11353 + ], + [ + 5558, + 6234 + ], + [ + 3681, + 3780 + ], + [ + 573, + 4662 + ], + [ + 1285, + 8840 + ], + [ + 1247, + 6104 + ], + [ + 8936, + 10316 + ], + [ + 6386, + 9274 + ], + [ + 2253, + 2815 + ], + [ + 2179, + 6838 + ], + [ + 2215, + 6495 + ], + [ + 1938, + 3743 + ], + [ + 243, + 1525 + ], + [ + 5022, + 5850 + ], + [ + 1715, + 5391 + ], + [ + 1711, + 7901 + ], + [ + 1117, + 1500 + ], + [ + 4084, + 10936 + ], + [ + 5013, + 11399 + ], + [ + 4820, + 5342 + ], + [ + 3292, + 10212 + ], + [ + 365, + 9220 + ], + [ + 5812, + 6127 + ], + [ + 3035, + 8112 + ], + [ + 5445, + 11029 + ], + [ + 4318, + 9827 + ], + [ + 2642, + 5377 + ], + [ + 1916, + 5273 + ], + [ + 4665, + 7656 + ], + [ + 5780, + 6589 + ], + [ + 3813, + 8379 + ], + [ + 3157, + 6762 + ], + [ + 6988, + 9850 + ], + [ + 1685, + 5525 + ], + [ + 2839, + 5140 + ], + [ + 1347, + 3251 + ], + [ + 1381, + 8497 + ], + [ + 7260, + 11477 + ], + [ + 94, + 10046 + ], + [ + 479, + 9857 + ], + [ + 1399, + 9076 + ], + [ + 998, + 1562 + ], + [ + 3047, + 8472 + ], + [ + 7940, + 8203 + ], + [ + 9127, + 9456 + ], + [ + 1899, + 7147 + ], + [ + 5073, + 8016 + ], + [ + 9556, + 9569 + ], + [ + 7054, + 7063 + ], + [ + 5386, + 9644 + ], + [ + 3858, + 8098 + ], + [ + 5750, + 10860 + ], + [ + 3534, + 8940 + ], + [ + 8055, + 9065 + ], + [ + 10515, + 10591 + ], + [ + 8755, + 9476 + ], + [ + 6482, + 7776 + ], + [ + 265, + 8184 + ], + [ + 2314, + 10930 + ], + [ + 6025, + 9752 + ], + [ + 1727, + 11362 + ], + [ + 392, + 3041 + ], + [ + 2214, + 5064 + ], + [ + 1071, + 3329 + ], + [ + 3063, + 9705 + ], + [ + 6117, + 6308 + ], + [ + 8479, + 11463 + ], + [ + 9308, + 10564 + ], + [ + 7035, + 8110 + ], + [ + 2245, + 3596 + ], + [ + 1092, + 7589 + ], + [ + 4951, + 8561 + ], + [ + 312, + 4216 + ], + [ + 1303, + 1393 + ], + [ + 6911, + 9737 + ], + [ + 395, + 2938 + ], + [ + 1277, + 3555 + ], + [ + 7371, + 10661 + ], + [ + 3639, + 8710 + ], + [ + 2724, + 5701 + ], + [ + 117, + 6377 + ], + [ + 3971, + 7759 + ], + [ + 4072, + 7811 + ], + [ + 4108, + 7468 + ], + [ + 2117, + 11116 + ], + [ + 3473, + 6728 + ], + [ + 665, + 1486 + ], + [ + 1105, + 7420 + ], + [ + 5533, + 11518 + ], + [ + 2823, + 9063 + ], + [ + 922, + 2051 + ], + [ + 7515, + 10790 + ], + [ + 6555, + 8762 + ], + [ + 3902, + 6087 + ], + [ + 333, + 8826 + ], + [ + 4414, + 8679 + ], + [ + 6986, + 10446 + ], + [ + 3648, + 8422 + ], + [ + 361, + 7087 + ], + [ + 7800, + 10370 + ], + [ + 4118, + 10788 + ], + [ + 469, + 4176 + ], + [ + 8199, + 8389 + ], + [ + 4804, + 5077 + ], + [ + 354, + 2883 + ], + [ + 6785, + 7130 + ], + [ + 7416, + 10380 + ], + [ + 2244, + 8982 + ], + [ + 6721, + 9589 + ], + [ + 4043, + 5137 + ], + [ + 4485, + 6236 + ], + [ + 182, + 7502 + ], + [ + 6936, + 9928 + ], + [ + 403, + 6158 + ], + [ + 272, + 9647 + ], + [ + 748, + 9576 + ], + [ + 2042, + 4310 + ], + [ + 1885, + 10742 + ], + [ + 3168, + 5287 + ], + [ + 3096, + 3721 + ], + [ + 3872, + 3942 + ], + [ + 2254, + 5886 + ], + [ + 9387, + 11341 + ], + [ + 1046, + 3756 + ], + [ + 540, + 11532 + ], + [ + 2288, + 4716 + ], + [ + 853, + 9777 + ], + [ + 2749, + 10029 + ], + [ + 3621, + 5794 + ], + [ + 2793, + 9547 + ], + [ + 3101, + 7448 + ], + [ + 1501, + 10752 + ], + [ + 3533, + 3695 + ], + [ + 8106, + 9672 + ], + [ + 7421, + 9569 + ], + [ + 7822, + 9913 + ], + [ + 1139, + 9582 + ], + [ + 3692, + 7889 + ], + [ + 5232, + 6062 + ], + [ + 1281, + 5501 + ], + [ + 2339, + 3900 + ], + [ + 1933, + 3212 + ], + [ + 8495, + 10386 + ], + [ + 6607, + 9995 + ], + [ + 3990, + 8485 + ], + [ + 1376, + 5738 + ], + [ + 6596, + 9836 + ], + [ + 3392, + 10256 + ], + [ + 582, + 10603 + ], + [ + 561, + 3310 + ], + [ + 4972, + 11211 + ], + [ + 3723, + 9080 + ], + [ + 3110, + 10543 + ], + [ + 4569, + 10040 + ], + [ + 1049, + 6282 + ], + [ + 8683, + 10033 + ], + [ + 7781, + 11393 + ], + [ + 302, + 4547 + ], + [ + 3915, + 9250 + ], + [ + 2599, + 5143 + ], + [ + 8211, + 10977 + ], + [ + 806, + 2360 + ], + [ + 8980, + 9273 + ], + [ + 7625, + 10099 + ], + [ + 3128, + 4706 + ], + [ + 4970, + 7351 + ], + [ + 9724, + 9956 + ], + [ + 5894, + 7470 + ], + [ + 8760, + 10438 + ], + [ + 6050, + 7983 + ], + [ + 86, + 6585 + ], + [ + 2124, + 9172 + ], + [ + 3834, + 6036 + ], + [ + 6576, + 10658 + ], + [ + 5609, + 7459 + ], + [ + 2123, + 8947 + ], + [ + 4461, + 9544 + ], + [ + 6350, + 8625 + ], + [ + 1405, + 6452 + ], + [ + 6, + 590 + ], + [ + 3550, + 9660 + ], + [ + 2189, + 10698 + ], + [ + 3710, + 4657 + ], + [ + 12, + 10958 + ], + [ + 7605, + 8292 + ], + [ + 9439, + 11076 + ], + [ + 5800, + 8158 + ], + [ + 956, + 1903 + ], + [ + 1808, + 10225 + ], + [ + 10865, + 11564 + ], + [ + 7832, + 10176 + ], + [ + 554, + 1334 + ], + [ + 2758, + 5149 + ], + [ + 7465, + 8662 + ], + [ + 5808, + 10678 + ], + [ + 54, + 6646 + ], + [ + 10518, + 11456 + ], + [ + 3202, + 6294 + ], + [ + 7620, + 8950 + ], + [ + 1011, + 8376 + ], + [ + 6093, + 10258 + ], + [ + 10723, + 11107 + ], + [ + 4491, + 10483 + ], + [ + 4711, + 8537 + ], + [ + 9454, + 10953 + ], + [ + 3969, + 5648 + ], + [ + 5684, + 9272 + ], + [ + 7009, + 9735 + ], + [ + 5297, + 5628 + ], + [ + 8108, + 8889 + ], + [ + 6272, + 9442 + ], + [ + 9, + 9505 + ], + [ + 6865, + 9956 + ], + [ + 2875, + 3805 + ], + [ + 9688, + 9844 + ], + [ + 2398, + 10067 + ], + [ + 6066, + 8061 + ], + [ + 4744, + 11279 + ], + [ + 6876, + 7112 + ], + [ + 521, + 7586 + ], + [ + 2649, + 4401 + ], + [ + 226, + 7638 + ], + [ + 3645, + 9092 + ], + [ + 830, + 1925 + ], + [ + 7027, + 10664 + ], + [ + 7113, + 9684 + ], + [ + 2641, + 3759 + ], + [ + 397, + 9213 + ], + [ + 309, + 6360 + ], + [ + 3664, + 10273 + ], + [ + 6403, + 11214 + ], + [ + 6553, + 8529 + ], + [ + 1047, + 3845 + ], + [ + 4187, + 5884 + ], + [ + 4510, + 4817 + ], + [ + 3815, + 10442 + ], + [ + 929, + 9451 + ], + [ + 547, + 9157 + ], + [ + 2135, + 8502 + ], + [ + 8637, + 11461 + ], + [ + 7701, + 9073 + ], + [ + 3532, + 7121 + ], + [ + 5865, + 7374 + ], + [ + 2092, + 11057 + ], + [ + 48, + 2239 + ], + [ + 5731, + 8313 + ], + [ + 103, + 1946 + ], + [ + 3936, + 8867 + ], + [ + 4364, + 6870 + ], + [ + 3860, + 9811 + ], + [ + 625, + 10918 + ], + [ + 1814, + 6582 + ], + [ + 4647, + 7158 + ], + [ + 2216, + 4118 + ], + [ + 5546, + 11162 + ], + [ + 2581, + 8188 + ], + [ + 2560, + 7311 + ], + [ + 4635, + 9026 + ], + [ + 6159, + 6666 + ], + [ + 7435, + 11374 + ], + [ + 1924, + 6346 + ], + [ + 6280, + 8124 + ], + [ + 640, + 11576 + ], + [ + 9415, + 9819 + ], + [ + 2226, + 6684 + ], + [ + 274, + 7254 + ], + [ + 678, + 11279 + ], + [ + 6683, + 7016 + ], + [ + 478, + 10467 + ], + [ + 1409, + 7593 + ], + [ + 889, + 5083 + ], + [ + 5032, + 5814 + ], + [ + 507, + 2537 + ], + [ + 350, + 11221 + ], + [ + 5835, + 8612 + ], + [ + 5706, + 5758 + ], + [ + 8821, + 9430 + ], + [ + 3802, + 11280 + ], + [ + 8160, + 9721 + ], + [ + 2085, + 6829 + ], + [ + 32, + 8845 + ], + [ + 1821, + 9200 + ], + [ + 4247, + 5480 + ], + [ + 231, + 10186 + ], + [ + 4457, + 7010 + ], + [ + 9307, + 11575 + ], + [ + 4455, + 6183 + ], + [ + 3648, + 4397 + ], + [ + 1991, + 7167 + ], + [ + 222, + 6690 + ], + [ + 2122, + 2897 + ], + [ + 5785, + 10373 + ], + [ + 1926, + 2985 + ], + [ + 8319, + 10882 + ], + [ + 5418, + 8859 + ], + [ + 1330, + 7835 + ], + [ + 1053, + 5837 + ], + [ + 4296, + 8755 + ], + [ + 10012, + 10051 + ], + [ + 1109, + 6146 + ], + [ + 3199, + 9647 + ], + [ + 7834, + 10840 + ], + [ + 2667, + 9786 + ], + [ + 363, + 1603 + ], + [ + 306, + 5233 + ], + [ + 7341, + 10153 + ], + [ + 201, + 3527 + ], + [ + 7052, + 10050 + ], + [ + 2286, + 10094 + ], + [ + 338, + 10406 + ], + [ + 2635, + 3832 + ], + [ + 2783, + 4484 + ], + [ + 2101, + 3898 + ], + [ + 8379, + 11313 + ], + [ + 2935, + 7507 + ], + [ + 1691, + 5720 + ], + [ + 7757, + 8526 + ], + [ + 3407, + 9946 + ], + [ + 2060, + 11444 + ], + [ + 2124, + 2569 + ], + [ + 3624, + 8483 + ], + [ + 571, + 9072 + ], + [ + 4235, + 9576 + ], + [ + 10362, + 10406 + ], + [ + 343, + 6212 + ], + [ + 4331, + 10038 + ], + [ + 2270, + 5023 + ], + [ + 4135, + 10126 + ], + [ + 5446, + 8971 + ], + [ + 284, + 2599 + ], + [ + 2811, + 6101 + ], + [ + 5385, + 9449 + ], + [ + 2119, + 2575 + ], + [ + 7215, + 10579 + ], + [ + 8772, + 11365 + ], + [ + 773, + 8425 + ], + [ + 2762, + 8868 + ], + [ + 3892, + 9587 + ], + [ + 830, + 2543 + ], + [ + 7502, + 7603 + ], + [ + 8398, + 8680 + ], + [ + 6994, + 8890 + ], + [ + 1863, + 4083 + ], + [ + 5030, + 7945 + ], + [ + 6148, + 11313 + ], + [ + 3875, + 11111 + ], + [ + 1767, + 7004 + ], + [ + 332, + 5649 + ], + [ + 5564, + 11262 + ], + [ + 9979, + 10237 + ], + [ + 2937, + 4146 + ], + [ + 4993, + 8063 + ], + [ + 5526, + 8526 + ], + [ + 2035, + 5506 + ], + [ + 6835, + 11462 + ], + [ + 9789, + 10113 + ], + [ + 5682, + 9039 + ], + [ + 484, + 8672 + ], + [ + 4381, + 6718 + ], + [ + 3714, + 7221 + ], + [ + 890, + 3698 + ], + [ + 606, + 3939 + ], + [ + 1070, + 6517 + ], + [ + 1352, + 5449 + ], + [ + 851, + 7153 + ], + [ + 3373, + 10311 + ], + [ + 5861, + 7469 + ], + [ + 7043, + 9132 + ], + [ + 7175, + 10749 + ], + [ + 2380, + 5891 + ], + [ + 6072, + 8443 + ], + [ + 7629, + 8475 + ], + [ + 8097, + 10795 + ], + [ + 850, + 1266 + ], + [ + 914, + 8606 + ], + [ + 959, + 7625 + ], + [ + 1155, + 5285 + ], + [ + 6540, + 6976 + ], + [ + 649, + 6645 + ], + [ + 3805, + 6154 + ], + [ + 1114, + 1497 + ], + [ + 1432, + 7256 + ], + [ + 3882, + 8094 + ], + [ + 9988, + 10299 + ], + [ + 931, + 2544 + ], + [ + 1201, + 10541 + ], + [ + 4497, + 6677 + ], + [ + 8206, + 11088 + ], + [ + 5752, + 9754 + ], + [ + 5659, + 9563 + ], + [ + 1607, + 1780 + ], + [ + 2324, + 11220 + ], + [ + 4965, + 5210 + ], + [ + 489, + 8211 + ], + [ + 6399, + 11258 + ], + [ + 5339, + 11278 + ], + [ + 5989, + 8916 + ], + [ + 4891, + 10364 + ], + [ + 3210, + 7822 + ], + [ + 6107, + 10103 + ], + [ + 319, + 825 + ], + [ + 9656, + 10849 + ], + [ + 2115, + 3125 + ], + [ + 3233, + 6493 + ], + [ + 6849, + 10713 + ], + [ + 5882, + 10924 + ], + [ + 2019, + 6046 + ], + [ + 4830, + 9307 + ], + [ + 7287, + 7906 + ], + [ + 9181, + 10741 + ], + [ + 5253, + 7720 + ], + [ + 4638, + 6104 + ], + [ + 1424, + 1672 + ], + [ + 4500, + 6170 + ], + [ + 1012, + 6831 + ], + [ + 581, + 3612 + ], + [ + 4287, + 8506 + ], + [ + 3351, + 11036 + ], + [ + 1908, + 11291 + ], + [ + 984, + 1750 + ], + [ + 5963, + 9923 + ], + [ + 3690, + 7469 + ], + [ + 5982, + 7721 + ], + [ + 1598, + 3895 + ], + [ + 4803, + 6329 + ], + [ + 6138, + 7480 + ], + [ + 6919, + 8045 + ], + [ + 3068, + 11098 + ], + [ + 5057, + 7377 + ], + [ + 3894, + 10682 + ], + [ + 4675, + 11247 + ], + [ + 1474, + 4768 + ], + [ + 1498, + 2910 + ], + [ + 2843, + 5503 + ], + [ + 7633, + 10771 + ], + [ + 10021, + 10731 + ], + [ + 413, + 5317 + ], + [ + 3367, + 8886 + ], + [ + 3109, + 3932 + ], + [ + 533, + 3921 + ], + [ + 311, + 5040 + ], + [ + 772, + 6189 + ], + [ + 5694, + 10822 + ], + [ + 2552, + 7956 + ], + [ + 2583, + 8023 + ], + [ + 5048, + 9893 + ], + [ + 2961, + 6663 + ], + [ + 6724, + 7927 + ], + [ + 3828, + 6248 + ], + [ + 1185, + 5015 + ], + [ + 6183, + 10232 + ], + [ + 4125, + 6242 + ], + [ + 737, + 4101 + ], + [ + 8646, + 9777 + ], + [ + 3164, + 3989 + ], + [ + 335, + 9948 + ], + [ + 5402, + 7388 + ], + [ + 1355, + 6365 + ], + [ + 1358, + 10046 + ], + [ + 4741, + 5427 + ], + [ + 9041, + 9525 + ], + [ + 1538, + 2285 + ], + [ + 292, + 6087 + ], + [ + 944, + 4552 + ], + [ + 417, + 11451 + ], + [ + 8696, + 9490 + ], + [ + 723, + 2109 + ], + [ + 356, + 11175 + ], + [ + 6665, + 9575 + ], + [ + 2690, + 10872 + ], + [ + 3045, + 8619 + ], + [ + 3798, + 6382 + ], + [ + 7060, + 10104 + ], + [ + 2051, + 6226 + ], + [ + 5105, + 6239 + ], + [ + 1311, + 5662 + ], + [ + 657, + 4872 + ], + [ + 259, + 10461 + ], + [ + 5383, + 8435 + ], + [ + 1615, + 6827 + ], + [ + 6971, + 7780 + ], + [ + 3330, + 8199 + ], + [ + 4111, + 8764 + ], + [ + 2454, + 4364 + ], + [ + 8030, + 9787 + ], + [ + 561, + 8547 + ], + [ + 530, + 2818 + ], + [ + 9456, + 11056 + ], + [ + 3487, + 11566 + ], + [ + 2522, + 2778 + ], + [ + 669, + 4882 + ], + [ + 6998, + 9576 + ], + [ + 2793, + 7213 + ], + [ + 263, + 3413 + ], + [ + 1449, + 5195 + ], + [ + 6058, + 11583 + ], + [ + 4377, + 9041 + ], + [ + 9470, + 11112 + ], + [ + 1810, + 6140 + ], + [ + 824, + 2891 + ], + [ + 2159, + 6294 + ], + [ + 2226, + 8270 + ], + [ + 4435, + 6013 + ], + [ + 4402, + 10037 + ], + [ + 5763, + 6747 + ], + [ + 4923, + 8985 + ], + [ + 3834, + 4857 + ], + [ + 3705, + 6167 + ], + [ + 3343, + 11413 + ], + [ + 977, + 8768 + ], + [ + 5612, + 9961 + ], + [ + 4201, + 9754 + ], + [ + 2931, + 5992 + ], + [ + 9596, + 9881 + ], + [ + 5415, + 6414 + ], + [ + 1127, + 9466 + ], + [ + 1860, + 5853 + ], + [ + 2552, + 6346 + ], + [ + 7281, + 11338 + ], + [ + 7341, + 11389 + ], + [ + 2514, + 6993 + ], + [ + 1048, + 6325 + ], + [ + 4157, + 6799 + ], + [ + 6896, + 7740 + ], + [ + 8195, + 9988 + ], + [ + 2689, + 5304 + ], + [ + 175, + 6925 + ], + [ + 354, + 8388 + ], + [ + 297, + 1438 + ], + [ + 9166, + 9896 + ], + [ + 4956, + 7189 + ], + [ + 1407, + 10580 + ], + [ + 1001, + 9892 + ], + [ + 3060, + 4658 + ], + [ + 3578, + 6341 + ], + [ + 905, + 6397 + ], + [ + 5079, + 6441 + ], + [ + 2118, + 6619 + ], + [ + 5385, + 10685 + ], + [ + 3086, + 9262 + ], + [ + 5815, + 9515 + ], + [ + 2866, + 4792 + ], + [ + 1959, + 8060 + ], + [ + 3831, + 7164 + ], + [ + 6107, + 6883 + ], + [ + 656, + 9076 + ], + [ + 9864, + 10584 + ], + [ + 277, + 10211 + ], + [ + 1092, + 9606 + ], + [ + 1667, + 5407 + ], + [ + 1985, + 3996 + ], + [ + 4629, + 8083 + ], + [ + 7707, + 9244 + ], + [ + 3939, + 7636 + ], + [ + 28, + 58 + ], + [ + 9919, + 11422 + ], + [ + 2166, + 5505 + ], + [ + 149, + 7932 + ], + [ + 3698, + 7924 + ], + [ + 1102, + 2373 + ], + [ + 5466, + 8930 + ], + [ + 3379, + 5700 + ], + [ + 643, + 7686 + ], + [ + 9442, + 10487 + ], + [ + 6672, + 7981 + ], + [ + 4096, + 7970 + ], + [ + 1911, + 8369 + ], + [ + 264, + 8821 + ], + [ + 7609, + 9059 + ], + [ + 97, + 3985 + ], + [ + 5549, + 7652 + ], + [ + 3713, + 8205 + ], + [ + 3028, + 7348 + ], + [ + 813, + 9036 + ], + [ + 1181, + 7742 + ], + [ + 998, + 8035 + ], + [ + 3153, + 9679 + ], + [ + 7535, + 10426 + ], + [ + 1304, + 6994 + ], + [ + 2334, + 9761 + ], + [ + 2458, + 5855 + ], + [ + 2795, + 8658 + ], + [ + 3796, + 7277 + ], + [ + 3949, + 7519 + ], + [ + 1573, + 4186 + ], + [ + 4188, + 9787 + ], + [ + 487, + 10155 + ], + [ + 1982, + 9309 + ], + [ + 542, + 3446 + ], + [ + 10512, + 11131 + ], + [ + 916, + 3098 + ], + [ + 6700, + 9224 + ], + [ + 6576, + 6714 + ], + [ + 230, + 11438 + ], + [ + 1409, + 6414 + ], + [ + 2654, + 11055 + ], + [ + 7879, + 9081 + ], + [ + 6485, + 10733 + ], + [ + 2282, + 2781 + ], + [ + 4307, + 5133 + ], + [ + 2332, + 2898 + ], + [ + 1870, + 10192 + ], + [ + 4399, + 8105 + ], + [ + 183, + 7835 + ], + [ + 3871, + 11369 + ], + [ + 2206, + 7108 + ], + [ + 26, + 7851 + ], + [ + 4272, + 6051 + ], + [ + 1583, + 3719 + ], + [ + 7961, + 8332 + ], + [ + 1992, + 8842 + ], + [ + 2701, + 7087 + ], + [ + 7468, + 8399 + ], + [ + 2891, + 11348 + ], + [ + 6003, + 10585 + ], + [ + 7811, + 8738 + ], + [ + 3387, + 7765 + ], + [ + 4352, + 10137 + ], + [ + 2704, + 8489 + ], + [ + 1888, + 11121 + ], + [ + 5589, + 9255 + ], + [ + 1394, + 8334 + ], + [ + 6766, + 9820 + ], + [ + 401, + 9576 + ], + [ + 3570, + 3685 + ], + [ + 4967, + 6468 + ], + [ + 139, + 5634 + ], + [ + 1174, + 3083 + ], + [ + 7022, + 10914 + ], + [ + 6296, + 10056 + ], + [ + 7729, + 8332 + ], + [ + 5714, + 10832 + ], + [ + 2469, + 11251 + ], + [ + 3959, + 5897 + ], + [ + 3248, + 10989 + ], + [ + 3398, + 8304 + ], + [ + 9277, + 11284 + ], + [ + 6913, + 9466 + ], + [ + 1498, + 10562 + ], + [ + 1751, + 8756 + ], + [ + 4495, + 10795 + ], + [ + 1818, + 4316 + ], + [ + 5675, + 10877 + ], + [ + 474, + 4577 + ], + [ + 4801, + 7869 + ], + [ + 1028, + 5917 + ], + [ + 8215, + 8225 + ], + [ + 1525, + 6723 + ], + [ + 8474, + 10371 + ], + [ + 346, + 5331 + ], + [ + 1553, + 7990 + ], + [ + 4075, + 10394 + ], + [ + 4176, + 11200 + ], + [ + 2058, + 6405 + ], + [ + 1896, + 7575 + ], + [ + 4344, + 6088 + ], + [ + 6470, + 9246 + ], + [ + 5811, + 9610 + ], + [ + 6346, + 6736 + ], + [ + 1934, + 7278 + ], + [ + 1886, + 3854 + ], + [ + 9363, + 9873 + ], + [ + 738, + 2529 + ], + [ + 736, + 5866 + ], + [ + 2190, + 5019 + ], + [ + 9328, + 10818 + ], + [ + 1924, + 9973 + ], + [ + 3848, + 5857 + ], + [ + 8571, + 9149 + ], + [ + 2778, + 5189 + ], + [ + 16, + 2544 + ], + [ + 3849, + 8711 + ], + [ + 4805, + 7587 + ], + [ + 4247, + 8757 + ], + [ + 6924, + 8820 + ], + [ + 3130, + 5991 + ], + [ + 7457, + 9283 + ], + [ + 9912, + 11219 + ], + [ + 3276, + 5816 + ], + [ + 633, + 4583 + ], + [ + 4086, + 4867 + ], + [ + 2274, + 9978 + ], + [ + 1467, + 8192 + ], + [ + 5730, + 9779 + ], + [ + 6358, + 7096 + ], + [ + 2812, + 4369 + ], + [ + 5167, + 8353 + ], + [ + 1161, + 10337 + ], + [ + 3458, + 4517 + ], + [ + 4397, + 5668 + ], + [ + 5569, + 5889 + ], + [ + 1809, + 9060 + ], + [ + 3664, + 8557 + ], + [ + 1499, + 3916 + ], + [ + 6602, + 6675 + ], + [ + 7058, + 7480 + ], + [ + 6877, + 8600 + ], + [ + 3197, + 3429 + ], + [ + 5445, + 7516 + ], + [ + 4287, + 11165 + ], + [ + 7062, + 8353 + ], + [ + 1584, + 3465 + ], + [ + 112, + 10896 + ], + [ + 3254, + 7346 + ], + [ + 3200, + 10493 + ], + [ + 8705, + 10788 + ], + [ + 732, + 7571 + ], + [ + 6580, + 11238 + ], + [ + 4438, + 8301 + ], + [ + 8135, + 11197 + ], + [ + 3283, + 5051 + ], + [ + 5303, + 7059 + ], + [ + 5216, + 7814 + ], + [ + 1966, + 7889 + ], + [ + 9230, + 10609 + ], + [ + 6334, + 11182 + ], + [ + 4281, + 6782 + ], + [ + 3899, + 10652 + ], + [ + 4742, + 5679 + ], + [ + 1228, + 7371 + ], + [ + 1216, + 10020 + ], + [ + 1159, + 9486 + ], + [ + 4672, + 6788 + ], + [ + 431, + 9686 + ], + [ + 6804, + 9791 + ], + [ + 2743, + 4898 + ], + [ + 2512, + 2521 + ], + [ + 3659, + 10791 + ], + [ + 1919, + 4636 + ], + [ + 2084, + 2983 + ], + [ + 4288, + 6798 + ], + [ + 3066, + 6490 + ], + [ + 9981, + 10527 + ], + [ + 5360, + 6788 + ], + [ + 7512, + 11167 + ], + [ + 5707, + 10279 + ], + [ + 1068, + 5934 + ], + [ + 1314, + 2957 + ], + [ + 3373, + 4139 + ], + [ + 451, + 9907 + ], + [ + 2404, + 10693 + ], + [ + 1212, + 2680 + ], + [ + 3622, + 4843 + ], + [ + 3682, + 5648 + ], + [ + 1059, + 11483 + ], + [ + 6919, + 10249 + ], + [ + 2735, + 3101 + ], + [ + 7129, + 7615 + ], + [ + 3917, + 4010 + ], + [ + 4856, + 5161 + ], + [ + 4044, + 9447 + ], + [ + 2328, + 8604 + ], + [ + 4296, + 10422 + ], + [ + 5843, + 9766 + ], + [ + 2579, + 5971 + ], + [ + 6720, + 10039 + ], + [ + 875, + 5889 + ], + [ + 302, + 6027 + ], + [ + 2898, + 8168 + ], + [ + 9178, + 11492 + ], + [ + 489, + 1689 + ], + [ + 6225, + 9279 + ], + [ + 2025, + 8014 + ], + [ + 6099, + 10860 + ], + [ + 1828, + 10883 + ], + [ + 574, + 1238 + ], + [ + 1943, + 1973 + ], + [ + 9517, + 11308 + ], + [ + 7260, + 9387 + ], + [ + 572, + 3794 + ], + [ + 6327, + 11434 + ], + [ + 4123, + 5367 + ], + [ + 1036, + 8624 + ], + [ + 7445, + 8386 + ], + [ + 1695, + 1844 + ], + [ + 5084, + 10249 + ], + [ + 8446, + 11169 + ], + [ + 3580, + 6845 + ], + [ + 6011, + 10639 + ], + [ + 4527, + 8611 + ], + [ + 4820, + 5480 + ], + [ + 8930, + 10235 + ], + [ + 1960, + 5710 + ], + [ + 2949, + 6978 + ], + [ + 9805, + 10435 + ], + [ + 6138, + 8879 + ], + [ + 2210, + 10022 + ], + [ + 3235, + 6783 + ], + [ + 5346, + 8155 + ], + [ + 3259, + 4925 + ], + [ + 647, + 5257 + ], + [ + 2675, + 11290 + ], + [ + 5730, + 10747 + ], + [ + 1608, + 4477 + ], + [ + 1238, + 9862 + ], + [ + 398, + 5684 + ], + [ + 8737, + 10944 + ], + [ + 3790, + 7944 + ], + [ + 4719, + 10659 + ], + [ + 2565, + 10371 + ], + [ + 4039, + 8648 + ], + [ + 455, + 5437 + ], + [ + 6463, + 11271 + ], + [ + 174, + 2943 + ], + [ + 3653, + 4448 + ], + [ + 7054, + 8706 + ], + [ + 1297, + 7409 + ], + [ + 1388, + 6773 + ], + [ + 2131, + 11018 + ], + [ + 5921, + 9941 + ], + [ + 1700, + 7799 + ], + [ + 3159, + 11460 + ], + [ + 7, + 7906 + ], + [ + 9626, + 10446 + ], + [ + 2289, + 10823 + ], + [ + 3466, + 4972 + ], + [ + 135, + 4119 + ], + [ + 720, + 7024 + ], + [ + 3395, + 6260 + ], + [ + 5136, + 8853 + ], + [ + 6282, + 7853 + ], + [ + 1989, + 10561 + ], + [ + 5354, + 10244 + ], + [ + 2530, + 10885 + ], + [ + 5830, + 10173 + ], + [ + 1866, + 5243 + ], + [ + 682, + 7671 + ], + [ + 343, + 4041 + ], + [ + 5291, + 9895 + ], + [ + 589, + 1064 + ], + [ + 10019, + 11279 + ], + [ + 1547, + 6429 + ], + [ + 2483, + 3899 + ], + [ + 215, + 8959 + ], + [ + 10912, + 11304 + ], + [ + 1602, + 9519 + ], + [ + 1425, + 2467 + ], + [ + 3286, + 11578 + ], + [ + 4069, + 6554 + ], + [ + 2890, + 11578 + ], + [ + 5153, + 6928 + ], + [ + 6025, + 6857 + ], + [ + 397, + 1244 + ], + [ + 1820, + 4494 + ], + [ + 2007, + 4320 + ], + [ + 2067, + 11541 + ], + [ + 6075, + 9603 + ], + [ + 5490, + 6698 + ], + [ + 5483, + 5527 + ], + [ + 8605, + 10370 + ], + [ + 7017, + 8773 + ], + [ + 1212, + 3298 + ], + [ + 6103, + 8618 + ], + [ + 2612, + 5598 + ], + [ + 160, + 8097 + ], + [ + 1689, + 6081 + ], + [ + 2673, + 2841 + ], + [ + 1496, + 6440 + ], + [ + 4552, + 8751 + ], + [ + 3415, + 6861 + ], + [ + 772, + 5628 + ], + [ + 3418, + 10542 + ], + [ + 7160, + 10929 + ], + [ + 7726, + 9620 + ], + [ + 2638, + 7169 + ], + [ + 8647, + 9441 + ], + [ + 6000, + 10718 + ], + [ + 8240, + 8528 + ], + [ + 4994, + 10974 + ], + [ + 1701, + 6441 + ], + [ + 603, + 4479 + ], + [ + 8582, + 10894 + ], + [ + 358, + 3894 + ], + [ + 2132, + 2463 + ], + [ + 3054, + 8171 + ], + [ + 6672, + 6802 + ], + [ + 37, + 11423 + ], + [ + 1508, + 6019 + ], + [ + 4118, + 11276 + ], + [ + 5171, + 7079 + ], + [ + 2130, + 11435 + ], + [ + 379, + 1738 + ], + [ + 4372, + 5908 + ], + [ + 415, + 1395 + ], + [ + 1557, + 5157 + ], + [ + 2057, + 9644 + ], + [ + 2406, + 4136 + ], + [ + 9190, + 9437 + ], + [ + 3018, + 8864 + ], + [ + 4766, + 6212 + ], + [ + 1893, + 2073 + ], + [ + 2173, + 4342 + ], + [ + 7159, + 7270 + ], + [ + 1156, + 1780 + ], + [ + 2334, + 5199 + ], + [ + 6661, + 8491 + ], + [ + 5868, + 10575 + ], + [ + 3423, + 3665 + ], + [ + 672, + 1209 + ], + [ + 8833, + 11270 + ], + [ + 1977, + 4403 + ], + [ + 5655, + 9501 + ], + [ + 648, + 10614 + ], + [ + 1350, + 7688 + ], + [ + 2160, + 6739 + ], + [ + 2294, + 2767 + ], + [ + 51, + 8823 + ], + [ + 5997, + 9615 + ], + [ + 1637, + 10347 + ], + [ + 3841, + 8500 + ], + [ + 2693, + 6421 + ], + [ + 2872, + 8638 + ], + [ + 64, + 2642 + ], + [ + 1880, + 11236 + ], + [ + 1309, + 1621 + ], + [ + 2991, + 7017 + ], + [ + 3271, + 9286 + ], + [ + 7316, + 9482 + ], + [ + 6103, + 7008 + ], + [ + 807, + 3854 + ], + [ + 279, + 7118 + ], + [ + 5974, + 7537 + ], + [ + 3176, + 9399 + ], + [ + 4172, + 6920 + ], + [ + 7307, + 8615 + ], + [ + 5383, + 7069 + ], + [ + 1393, + 6580 + ], + [ + 3917, + 6401 + ], + [ + 2862, + 4513 + ], + [ + 2509, + 9121 + ], + [ + 5059, + 7911 + ], + [ + 2729, + 4923 + ], + [ + 1760, + 11477 + ], + [ + 3931, + 7238 + ], + [ + 892, + 6005 + ], + [ + 1944, + 4589 + ], + [ + 9512, + 9972 + ], + [ + 350, + 4675 + ], + [ + 6946, + 10679 + ], + [ + 5022, + 8379 + ], + [ + 3623, + 9687 + ], + [ + 4898, + 6623 + ], + [ + 7785, + 8216 + ], + [ + 228, + 6375 + ], + [ + 1305, + 9742 + ], + [ + 255, + 4788 + ], + [ + 6375, + 10863 + ], + [ + 3140, + 5554 + ], + [ + 5915, + 6152 + ], + [ + 6099, + 8713 + ], + [ + 4762, + 10145 + ], + [ + 1529, + 2253 + ], + [ + 10075, + 11024 + ], + [ + 2422, + 3059 + ], + [ + 6100, + 11567 + ], + [ + 10181, + 11420 + ], + [ + 1429, + 2049 + ], + [ + 935, + 1514 + ], + [ + 7461, + 8277 + ], + [ + 2112, + 8495 + ], + [ + 929, + 945 + ], + [ + 397, + 4090 + ], + [ + 5562, + 7727 + ], + [ + 801, + 8115 + ], + [ + 1957, + 7803 + ], + [ + 2728, + 7680 + ], + [ + 462, + 2233 + ], + [ + 8889, + 9592 + ], + [ + 523, + 10056 + ], + [ + 6808, + 7308 + ], + [ + 72, + 11123 + ], + [ + 3812, + 10683 + ], + [ + 6861, + 6942 + ], + [ + 10221, + 10445 + ], + [ + 264, + 4877 + ], + [ + 1131, + 6714 + ], + [ + 4940, + 9077 + ], + [ + 4966, + 8046 + ], + [ + 3997, + 10436 + ], + [ + 1858, + 10426 + ], + [ + 7388, + 9088 + ], + [ + 4983, + 5017 + ], + [ + 693, + 7242 + ], + [ + 7800, + 11476 + ], + [ + 6983, + 9002 + ], + [ + 2685, + 7202 + ], + [ + 3373, + 10986 + ], + [ + 4545, + 11207 + ], + [ + 3053, + 5154 + ], + [ + 3746, + 10036 + ], + [ + 563, + 11333 + ], + [ + 3648, + 6495 + ], + [ + 2521, + 5293 + ], + [ + 406, + 10595 + ], + [ + 3403, + 6664 + ], + [ + 10865, + 10897 + ], + [ + 3561, + 7250 + ], + [ + 2591, + 4534 + ], + [ + 4328, + 9637 + ], + [ + 2143, + 10036 + ], + [ + 2683, + 7506 + ], + [ + 9625, + 9983 + ], + [ + 4943, + 8220 + ], + [ + 7744, + 10793 + ], + [ + 1866, + 10667 + ], + [ + 4946, + 5485 + ], + [ + 2764, + 5401 + ], + [ + 3077, + 3646 + ], + [ + 6184, + 9709 + ], + [ + 5463, + 6943 + ], + [ + 8618, + 10768 + ], + [ + 3693, + 9247 + ], + [ + 4071, + 8641 + ], + [ + 1289, + 10282 + ], + [ + 678, + 6156 + ], + [ + 8145, + 11487 + ], + [ + 1082, + 6771 + ], + [ + 4285, + 6126 + ], + [ + 5615, + 7687 + ], + [ + 8254, + 11430 + ], + [ + 1881, + 4909 + ], + [ + 2473, + 2569 + ], + [ + 8780, + 10722 + ], + [ + 5674, + 8267 + ], + [ + 3181, + 3595 + ], + [ + 3277, + 10473 + ], + [ + 1599, + 5196 + ], + [ + 6566, + 8848 + ], + [ + 5989, + 6558 + ], + [ + 9709, + 10404 + ], + [ + 1808, + 2337 + ], + [ + 867, + 4523 + ], + [ + 5168, + 6594 + ], + [ + 1899, + 2455 + ], + [ + 5665, + 7400 + ], + [ + 5844, + 8863 + ], + [ + 11169, + 11257 + ], + [ + 336, + 8270 + ], + [ + 5005, + 8293 + ], + [ + 3169, + 8846 + ], + [ + 2649, + 10500 + ], + [ + 615, + 11068 + ], + [ + 2081, + 5320 + ], + [ + 8772, + 10430 + ], + [ + 704, + 3189 + ], + [ + 1292, + 9775 + ], + [ + 302, + 9036 + ], + [ + 8633, + 10271 + ], + [ + 295, + 2203 + ], + [ + 3218, + 5705 + ], + [ + 2137, + 11264 + ], + [ + 4033, + 11516 + ], + [ + 671, + 10596 + ], + [ + 2080, + 10730 + ], + [ + 570, + 4128 + ], + [ + 1223, + 4693 + ], + [ + 4311, + 10706 + ], + [ + 2468, + 10088 + ], + [ + 9221, + 9660 + ], + [ + 2, + 7993 + ], + [ + 7388, + 7478 + ], + [ + 5117, + 5851 + ], + [ + 1869, + 2589 + ], + [ + 5550, + 11368 + ], + [ + 5142, + 7601 + ], + [ + 1219, + 4924 + ], + [ + 1430, + 9308 + ], + [ + 5380, + 9644 + ], + [ + 212, + 11371 + ], + [ + 1029, + 5177 + ], + [ + 839, + 11469 + ], + [ + 5290, + 10101 + ], + [ + 1649, + 4104 + ], + [ + 9665, + 10431 + ], + [ + 3969, + 9787 + ], + [ + 4626, + 7842 + ], + [ + 4154, + 8786 + ], + [ + 2877, + 11023 + ], + [ + 570, + 3323 + ], + [ + 2500, + 8067 + ], + [ + 1502, + 9719 + ], + [ + 3584, + 6189 + ], + [ + 139, + 10684 + ], + [ + 2966, + 7308 + ], + [ + 4592, + 5979 + ], + [ + 1503, + 6911 + ], + [ + 1191, + 2852 + ], + [ + 4174, + 6405 + ], + [ + 932, + 4089 + ], + [ + 3901, + 10942 + ], + [ + 8810, + 11206 + ], + [ + 5348, + 6672 + ], + [ + 2330, + 6316 + ], + [ + 9361, + 11494 + ], + [ + 7535, + 10483 + ], + [ + 1052, + 1912 + ], + [ + 3323, + 7703 + ], + [ + 1528, + 1841 + ], + [ + 10478, + 11227 + ], + [ + 519, + 2580 + ], + [ + 3285, + 8350 + ], + [ + 8023, + 10422 + ], + [ + 6521, + 10097 + ], + [ + 9640, + 11259 + ], + [ + 5430, + 9306 + ], + [ + 3437, + 11373 + ], + [ + 887, + 10331 + ], + [ + 78, + 8472 + ], + [ + 2041, + 3530 + ], + [ + 4096, + 7222 + ], + [ + 6880, + 7936 + ], + [ + 1133, + 4321 + ], + [ + 6286, + 7197 + ], + [ + 3620, + 4260 + ], + [ + 7035, + 8224 + ], + [ + 3678, + 8402 + ], + [ + 1971, + 4639 + ], + [ + 1484, + 4551 + ], + [ + 3357, + 8761 + ], + [ + 5795, + 7310 + ], + [ + 895, + 4156 + ], + [ + 5170, + 7258 + ], + [ + 528, + 9058 + ], + [ + 6094, + 7377 + ], + [ + 3236, + 4270 + ], + [ + 2418, + 10993 + ], + [ + 6807, + 8747 + ], + [ + 4047, + 6929 + ], + [ + 3906, + 6724 + ], + [ + 7842, + 10360 + ], + [ + 1082, + 3201 + ], + [ + 2642, + 6914 + ], + [ + 5462, + 9537 + ], + [ + 5658, + 7197 + ], + [ + 1852, + 2853 + ], + [ + 3378, + 3572 + ], + [ + 5676, + 11186 + ], + [ + 3279, + 6976 + ], + [ + 1699, + 5240 + ], + [ + 6339, + 6777 + ], + [ + 790, + 9593 + ], + [ + 5950, + 9476 + ], + [ + 358, + 3520 + ], + [ + 1497, + 7765 + ], + [ + 2042, + 5579 + ], + [ + 447, + 9227 + ], + [ + 573, + 5394 + ], + [ + 4901, + 11540 + ], + [ + 3468, + 6848 + ], + [ + 3595, + 8875 + ], + [ + 2370, + 11302 + ], + [ + 8722, + 9776 + ], + [ + 4305, + 4312 + ], + [ + 1650, + 7980 + ], + [ + 2560, + 4229 + ], + [ + 2954, + 7566 + ], + [ + 8807, + 11577 + ], + [ + 2057, + 2854 + ], + [ + 6152, + 6577 + ], + [ + 2428, + 5241 + ], + [ + 4324, + 5493 + ], + [ + 7126, + 10920 + ], + [ + 7618, + 10628 + ], + [ + 6090, + 9082 + ], + [ + 2609, + 6750 + ], + [ + 6742, + 6793 + ], + [ + 4844, + 6468 + ], + [ + 7619, + 7820 + ], + [ + 2628, + 5302 + ], + [ + 1583, + 6354 + ], + [ + 1335, + 7006 + ], + [ + 3236, + 6848 + ], + [ + 7871, + 8041 + ], + [ + 636, + 1555 + ], + [ + 2005, + 4542 + ], + [ + 4995, + 10020 + ], + [ + 766, + 847 + ], + [ + 2658, + 3609 + ], + [ + 7396, + 8687 + ], + [ + 3501, + 5052 + ], + [ + 5678, + 10427 + ], + [ + 480, + 10814 + ], + [ + 3276, + 5873 + ], + [ + 7598, + 8821 + ], + [ + 3243, + 9897 + ], + [ + 67, + 1785 + ], + [ + 662, + 9542 + ], + [ + 5087, + 9959 + ], + [ + 6476, + 7963 + ], + [ + 8558, + 10849 + ], + [ + 4232, + 11165 + ], + [ + 2716, + 4718 + ], + [ + 3865, + 9651 + ], + [ + 4522, + 7706 + ], + [ + 2306, + 6540 + ], + [ + 6070, + 10658 + ], + [ + 4335, + 4847 + ], + [ + 5405, + 11207 + ], + [ + 2239, + 3783 + ], + [ + 4035, + 11001 + ], + [ + 10017, + 10696 + ], + [ + 3570, + 8198 + ], + [ + 712, + 10009 + ], + [ + 862, + 6570 + ], + [ + 2200, + 7992 + ], + [ + 6276, + 7501 + ], + [ + 5443, + 10910 + ], + [ + 796, + 1786 + ], + [ + 2511, + 3158 + ], + [ + 84, + 2489 + ], + [ + 5815, + 9735 + ], + [ + 4843, + 6192 + ], + [ + 7735, + 8129 + ], + [ + 4094, + 7794 + ], + [ + 6772, + 11465 + ], + [ + 1481, + 2239 + ], + [ + 1293, + 9358 + ], + [ + 1107, + 5970 + ], + [ + 1043, + 2013 + ], + [ + 1160, + 3352 + ], + [ + 3981, + 6577 + ], + [ + 4951, + 9293 + ], + [ + 9865, + 9901 + ], + [ + 3027, + 7747 + ], + [ + 3335, + 5648 + ], + [ + 4202, + 5233 + ], + [ + 349, + 7459 + ], + [ + 2955, + 9564 + ], + [ + 8619, + 10670 + ], + [ + 1210, + 9481 + ], + [ + 28, + 8572 + ], + [ + 5002, + 9231 + ], + [ + 3699, + 10247 + ], + [ + 989, + 7792 + ], + [ + 1711, + 10406 + ], + [ + 5495, + 6131 + ], + [ + 2164, + 5278 + ], + [ + 174, + 4610 + ], + [ + 4649, + 8554 + ], + [ + 1445, + 4810 + ], + [ + 6310, + 8909 + ], + [ + 4428, + 6111 + ], + [ + 8008, + 8422 + ], + [ + 1413, + 10190 + ], + [ + 2319, + 8949 + ], + [ + 4404, + 11352 + ], + [ + 2532, + 9996 + ], + [ + 1157, + 10944 + ], + [ + 5239, + 5737 + ], + [ + 6357, + 9105 + ], + [ + 4604, + 4997 + ], + [ + 6904, + 9274 + ], + [ + 1962, + 6618 + ], + [ + 10031, + 10297 + ], + [ + 1769, + 6977 + ], + [ + 9148, + 9455 + ], + [ + 2649, + 10931 + ], + [ + 3513, + 6835 + ], + [ + 7681, + 9316 + ], + [ + 11170, + 11509 + ], + [ + 1322, + 2501 + ], + [ + 950, + 7059 + ], + [ + 1175, + 9621 + ], + [ + 392, + 8229 + ], + [ + 6837, + 8402 + ], + [ + 5438, + 8956 + ], + [ + 180, + 4374 + ], + [ + 10635, + 11350 + ], + [ + 2359, + 10576 + ], + [ + 269, + 1413 + ], + [ + 1690, + 3836 + ], + [ + 8854, + 9358 + ], + [ + 166, + 3163 + ], + [ + 1281, + 2850 + ], + [ + 160, + 9764 + ], + [ + 597, + 5601 + ], + [ + 2553, + 3652 + ], + [ + 5455, + 6277 + ], + [ + 4214, + 10423 + ], + [ + 1181, + 2619 + ], + [ + 7815, + 10605 + ], + [ + 2906, + 4679 + ], + [ + 222, + 1193 + ], + [ + 4232, + 8750 + ], + [ + 1744, + 4422 + ], + [ + 2210, + 10079 + ], + [ + 9367, + 10266 + ], + [ + 5444, + 10999 + ], + [ + 5697, + 9193 + ], + [ + 4570, + 7991 + ], + [ + 3608, + 11552 + ], + [ + 8501, + 11283 + ], + [ + 7601, + 9306 + ], + [ + 6939, + 10907 + ], + [ + 8155, + 10646 + ], + [ + 2665, + 10659 + ], + [ + 6127, + 8777 + ], + [ + 8743, + 10816 + ], + [ + 395, + 2060 + ], + [ + 5131, + 9721 + ], + [ + 6280, + 8238 + ], + [ + 821, + 4154 + ], + [ + 1354, + 4617 + ], + [ + 4025, + 6363 + ], + [ + 3844, + 8237 + ], + [ + 2354, + 3011 + ], + [ + 1970, + 6054 + ], + [ + 4404, + 6359 + ], + [ + 2752, + 3057 + ], + [ + 4305, + 6353 + ], + [ + 38, + 3112 + ], + [ + 3281, + 6030 + ], + [ + 5917, + 6092 + ], + [ + 876, + 4211 + ], + [ + 8993, + 10590 + ], + [ + 3339, + 10172 + ], + [ + 9084, + 9954 + ], + [ + 2805, + 9484 + ], + [ + 1155, + 7009 + ], + [ + 4950, + 10440 + ], + [ + 6631, + 8818 + ], + [ + 8408, + 11068 + ], + [ + 1187, + 2760 + ], + [ + 3637, + 6604 + ], + [ + 9122, + 9657 + ], + [ + 7315, + 8696 + ], + [ + 6384, + 11570 + ], + [ + 1333, + 2585 + ], + [ + 3512, + 4623 + ], + [ + 683, + 4166 + ], + [ + 449, + 7907 + ], + [ + 3912, + 8879 + ], + [ + 6620, + 8255 + ], + [ + 2786, + 4115 + ], + [ + 4800, + 6308 + ], + [ + 2217, + 11542 + ], + [ + 3805, + 6723 + ], + [ + 2936, + 4813 + ], + [ + 2492, + 7051 + ], + [ + 5539, + 6647 + ], + [ + 3433, + 8248 + ], + [ + 100, + 152 + ], + [ + 3584, + 6165 + ], + [ + 1898, + 3279 + ], + [ + 3668, + 11528 + ], + [ + 492, + 3416 + ], + [ + 4736, + 11369 + ], + [ + 4385, + 9634 + ], + [ + 3664, + 7622 + ], + [ + 7619, + 9056 + ], + [ + 3130, + 6934 + ], + [ + 3694, + 9716 + ], + [ + 1915, + 3633 + ], + [ + 9149, + 10648 + ], + [ + 4094, + 9835 + ], + [ + 6716, + 10191 + ], + [ + 8235, + 10493 + ], + [ + 8667, + 10150 + ], + [ + 5151, + 9517 + ], + [ + 20, + 3956 + ], + [ + 1544, + 8766 + ], + [ + 388, + 2662 + ], + [ + 7640, + 10283 + ], + [ + 763, + 1785 + ], + [ + 14, + 10557 + ], + [ + 4647, + 10923 + ], + [ + 2582, + 9172 + ], + [ + 8215, + 8713 + ], + [ + 4362, + 5277 + ], + [ + 2028, + 11215 + ], + [ + 2460, + 7462 + ], + [ + 5939, + 5961 + ], + [ + 8810, + 10027 + ], + [ + 6785, + 7675 + ], + [ + 5575, + 11134 + ], + [ + 1112, + 1565 + ], + [ + 7094, + 8430 + ], + [ + 5406, + 8881 + ], + [ + 2329, + 4912 + ], + [ + 2110, + 10466 + ], + [ + 2068, + 10240 + ], + [ + 777, + 8607 + ], + [ + 3043, + 7638 + ], + [ + 3905, + 9131 + ], + [ + 1164, + 4357 + ], + [ + 6091, + 10088 + ], + [ + 74, + 6420 + ], + [ + 1352, + 7791 + ], + [ + 860, + 913 + ], + [ + 6073, + 8004 + ], + [ + 942, + 9613 + ], + [ + 2652, + 6477 + ], + [ + 3275, + 3450 + ], + [ + 1498, + 10245 + ], + [ + 3, + 4675 + ], + [ + 3249, + 7864 + ], + [ + 1592, + 7628 + ], + [ + 1647, + 7335 + ], + [ + 933, + 2330 + ], + [ + 8193, + 9812 + ], + [ + 4769, + 8014 + ], + [ + 8458, + 11049 + ], + [ + 7878, + 8488 + ], + [ + 154, + 1811 + ], + [ + 3972, + 6165 + ], + [ + 1365, + 4589 + ], + [ + 2170, + 3296 + ], + [ + 3747, + 11150 + ], + [ + 729, + 10794 + ], + [ + 2346, + 10877 + ], + [ + 5902, + 6378 + ], + [ + 6953, + 10776 + ], + [ + 4157, + 6295 + ], + [ + 1788, + 4133 + ], + [ + 5173, + 5222 + ], + [ + 2189, + 7860 + ], + [ + 358, + 8757 + ], + [ + 281, + 6847 + ], + [ + 2774, + 4349 + ], + [ + 3147, + 3399 + ], + [ + 9662, + 9973 + ], + [ + 1068, + 4194 + ], + [ + 7852, + 9495 + ], + [ + 5352, + 10822 + ], + [ + 7315, + 11542 + ], + [ + 1086, + 4019 + ], + [ + 2773, + 10513 + ], + [ + 3950, + 11078 + ], + [ + 2295, + 7505 + ], + [ + 5789, + 7790 + ], + [ + 1215, + 10256 + ], + [ + 560, + 11493 + ], + [ + 2017, + 8665 + ], + [ + 8046, + 8206 + ], + [ + 1984, + 6273 + ], + [ + 1387, + 8269 + ], + [ + 1728, + 2146 + ], + [ + 3510, + 11156 + ], + [ + 3346, + 10001 + ], + [ + 1259, + 6771 + ], + [ + 1753, + 3142 + ], + [ + 1637, + 5411 + ], + [ + 3989, + 9878 + ], + [ + 4054, + 11027 + ], + [ + 4682, + 8344 + ], + [ + 4738, + 10905 + ], + [ + 3248, + 5679 + ], + [ + 1128, + 6473 + ], + [ + 6821, + 10983 + ], + [ + 9446, + 10856 + ], + [ + 4245, + 4556 + ], + [ + 2896, + 5227 + ], + [ + 2056, + 7465 + ], + [ + 7124, + 7759 + ], + [ + 1933, + 2147 + ], + [ + 1807, + 10144 + ], + [ + 597, + 7187 + ], + [ + 6937, + 11316 + ], + [ + 8742, + 9198 + ], + [ + 58, + 6155 + ], + [ + 3738, + 5664 + ], + [ + 3889, + 9997 + ], + [ + 308, + 10467 + ], + [ + 144, + 9312 + ], + [ + 7308, + 9916 + ], + [ + 1336, + 4493 + ], + [ + 6243, + 10346 + ], + [ + 1379, + 6849 + ], + [ + 2294, + 3442 + ], + [ + 4744, + 7286 + ], + [ + 1416, + 5950 + ], + [ + 2037, + 8512 + ], + [ + 1286, + 10041 + ], + [ + 2062, + 10262 + ], + [ + 5618, + 11425 + ], + [ + 2435, + 8558 + ], + [ + 5856, + 7052 + ], + [ + 6470, + 9197 + ], + [ + 4176, + 8118 + ], + [ + 1588, + 10756 + ], + [ + 3465, + 6794 + ], + [ + 1027, + 8999 + ], + [ + 3737, + 5038 + ], + [ + 4487, + 9700 + ], + [ + 2083, + 4319 + ], + [ + 4018, + 10161 + ], + [ + 3612, + 9473 + ], + [ + 4908, + 5034 + ], + [ + 650, + 3010 + ], + [ + 1202, + 3523 + ], + [ + 8020, + 8408 + ], + [ + 10105, + 10811 + ], + [ + 5776, + 7446 + ], + [ + 6746, + 7910 + ], + [ + 84, + 3538 + ], + [ + 9607, + 10534 + ], + [ + 2816, + 8226 + ], + [ + 1331, + 3344 + ], + [ + 3282, + 3303 + ], + [ + 1910, + 5680 + ], + [ + 2997, + 9735 + ], + [ + 1822, + 3581 + ], + [ + 440, + 8276 + ], + [ + 5388, + 7714 + ], + [ + 2616, + 3627 + ], + [ + 513, + 618 + ], + [ + 6294, + 6473 + ], + [ + 2402, + 9525 + ], + [ + 5022, + 9054 + ], + [ + 1696, + 4381 + ], + [ + 4982, + 5491 + ], + [ + 2611, + 6666 + ], + [ + 8337, + 9404 + ], + [ + 3115, + 4479 + ], + [ + 4541, + 5748 + ], + [ + 3773, + 10306 + ], + [ + 1718, + 9243 + ], + [ + 4447, + 5332 + ], + [ + 6656, + 10245 + ], + [ + 10171, + 11407 + ], + [ + 376, + 505 + ], + [ + 2330, + 4145 + ], + [ + 1304, + 7913 + ], + [ + 2585, + 8047 + ], + [ + 7082, + 9306 + ], + [ + 5320, + 5836 + ], + [ + 3505, + 5014 + ], + [ + 4685, + 5096 + ], + [ + 5149, + 9926 + ], + [ + 4120, + 9259 + ], + [ + 390, + 4725 + ], + [ + 5577, + 6431 + ], + [ + 8608, + 11156 + ], + [ + 3658, + 4475 + ], + [ + 2417, + 6369 + ], + [ + 8814, + 11032 + ], + [ + 7174, + 9245 + ], + [ + 1787, + 5973 + ], + [ + 1531, + 1846 + ], + [ + 1351, + 6574 + ], + [ + 6351, + 8454 + ], + [ + 6669, + 7797 + ], + [ + 4521, + 10707 + ], + [ + 1058, + 3319 + ], + [ + 438, + 10027 + ], + [ + 780, + 6758 + ], + [ + 7339, + 10251 + ], + [ + 5105, + 6971 + ], + [ + 1617, + 8386 + ], + [ + 7528, + 9369 + ], + [ + 3918, + 9101 + ], + [ + 1046, + 8570 + ], + [ + 3229, + 11508 + ], + [ + 7362, + 7387 + ], + [ + 2729, + 10404 + ], + [ + 9263, + 11366 + ], + [ + 6183, + 7126 + ], + [ + 1312, + 3212 + ], + [ + 6831, + 8101 + ], + [ + 606, + 4484 + ], + [ + 1853, + 3536 + ], + [ + 1727, + 11533 + ], + [ + 7789, + 7804 + ], + [ + 1161, + 2262 + ], + [ + 842, + 9864 + ], + [ + 7411, + 7629 + ], + [ + 3020, + 6796 + ], + [ + 1564, + 6816 + ], + [ + 1464, + 9618 + ], + [ + 6008, + 11447 + ], + [ + 4674, + 10144 + ], + [ + 8065, + 9550 + ], + [ + 4538, + 6873 + ], + [ + 8058, + 8379 + ], + [ + 6824, + 7280 + ], + [ + 5165, + 6971 + ], + [ + 55, + 6451 + ], + [ + 2429, + 2541 + ], + [ + 927, + 2216 + ], + [ + 2984, + 7489 + ], + [ + 1585, + 8043 + ], + [ + 10100, + 11085 + ], + [ + 3639, + 8881 + ], + [ + 2641, + 10533 + ], + [ + 0, + 5963 + ], + [ + 1855, + 3208 + ], + [ + 10633, + 11548 + ], + [ + 8262, + 8559 + ], + [ + 2787, + 10358 + ], + [ + 3322, + 7484 + ], + [ + 9110, + 10346 + ], + [ + 1948, + 9034 + ], + [ + 1129, + 6487 + ], + [ + 3346, + 9009 + ], + [ + 734, + 9341 + ], + [ + 923, + 5830 + ], + [ + 3520, + 9347 + ], + [ + 590, + 8838 + ], + [ + 3088, + 7438 + ], + [ + 8592, + 11295 + ], + [ + 8686, + 10176 + ], + [ + 2771, + 5287 + ], + [ + 935, + 5840 + ], + [ + 1277, + 2571 + ], + [ + 4205, + 6417 + ], + [ + 1526, + 9691 + ], + [ + 4102, + 9702 + ], + [ + 998, + 3156 + ], + [ + 4606, + 7515 + ], + [ + 3614, + 3697 + ], + [ + 6162, + 8076 + ], + [ + 155, + 11512 + ], + [ + 5170, + 6510 + ], + [ + 5310, + 5766 + ], + [ + 1760, + 2516 + ], + [ + 5020, + 11073 + ], + [ + 6271, + 8369 + ], + [ + 6584, + 6614 + ], + [ + 5765, + 9729 + ], + [ + 2780, + 5349 + ], + [ + 1661, + 1756 + ], + [ + 1721, + 2561 + ], + [ + 8011, + 10737 + ], + [ + 9972, + 11384 + ], + [ + 753, + 9717 + ], + [ + 5163, + 8348 + ], + [ + 1040, + 8993 + ], + [ + 1618, + 8475 + ], + [ + 10341, + 10692 + ], + [ + 4517, + 7419 + ], + [ + 6476, + 11403 + ], + [ + 4637, + 6023 + ], + [ + 5946, + 8205 + ], + [ + 5077, + 5541 + ], + [ + 4788, + 5438 + ], + [ + 1179, + 8778 + ], + [ + 5227, + 6239 + ], + [ + 2457, + 2979 + ], + [ + 1201, + 6093 + ], + [ + 2923, + 4472 + ], + [ + 5039, + 6188 + ], + [ + 6441, + 9315 + ], + [ + 2878, + 11145 + ], + [ + 8275, + 8689 + ], + [ + 92, + 3942 + ], + [ + 646, + 5282 + ], + [ + 4536, + 5567 + ], + [ + 3823, + 9832 + ], + [ + 7646, + 11147 + ], + [ + 2696, + 8630 + ], + [ + 1325, + 4816 + ], + [ + 2159, + 4261 + ], + [ + 4562, + 10171 + ], + [ + 577, + 4364 + ], + [ + 3570, + 8605 + ], + [ + 2655, + 5596 + ], + [ + 5337, + 6003 + ], + [ + 288, + 9896 + ], + [ + 7008, + 7076 + ], + [ + 2534, + 10904 + ], + [ + 4170, + 9539 + ], + [ + 5104, + 10346 + ], + [ + 7155, + 7503 + ], + [ + 2965, + 6926 + ], + [ + 2979, + 4380 + ], + [ + 4108, + 4874 + ], + [ + 1921, + 4446 + ], + [ + 515, + 7993 + ], + [ + 425, + 11483 + ], + [ + 206, + 10621 + ], + [ + 3227, + 10494 + ], + [ + 618, + 2429 + ], + [ + 448, + 3738 + ], + [ + 2908, + 6018 + ], + [ + 2345, + 6844 + ], + [ + 8950, + 10682 + ], + [ + 1018, + 3302 + ], + [ + 4270, + 5582 + ], + [ + 223, + 4559 + ], + [ + 3655, + 10382 + ], + [ + 4873, + 6784 + ], + [ + 4641, + 7215 + ], + [ + 4395, + 4530 + ], + [ + 6079, + 6589 + ], + [ + 798, + 10883 + ], + [ + 3159, + 6768 + ], + [ + 5886, + 6194 + ], + [ + 1538, + 2025 + ], + [ + 8104, + 11570 + ], + [ + 9095, + 9501 + ], + [ + 3388, + 4561 + ], + [ + 2149, + 3118 + ], + [ + 6127, + 6256 + ], + [ + 2362, + 10581 + ], + [ + 3900, + 7153 + ], + [ + 5535, + 8596 + ], + [ + 2811, + 8687 + ], + [ + 6340, + 7303 + ], + [ + 4720, + 6168 + ], + [ + 8620, + 9393 + ], + [ + 1836, + 1840 + ], + [ + 2039, + 2199 + ], + [ + 1799, + 9128 + ], + [ + 5940, + 6780 + ], + [ + 7369, + 7566 + ], + [ + 1366, + 2830 + ], + [ + 3852, + 9741 + ], + [ + 6467, + 8926 + ], + [ + 261, + 9523 + ], + [ + 2475, + 8364 + ], + [ + 3008, + 8827 + ], + [ + 1852, + 2723 + ], + [ + 1511, + 8846 + ], + [ + 1826, + 7918 + ], + [ + 2326, + 8241 + ], + [ + 2963, + 4920 + ], + [ + 5301, + 5517 + ], + [ + 5457, + 6030 + ], + [ + 1728, + 10766 + ], + [ + 570, + 1583 + ], + [ + 6509, + 11030 + ], + [ + 4336, + 6528 + ], + [ + 1681, + 10196 + ], + [ + 9034, + 11453 + ], + [ + 6611, + 8274 + ], + [ + 689, + 2214 + ], + [ + 6939, + 7581 + ], + [ + 4131, + 8001 + ], + [ + 1863, + 2481 + ], + [ + 2339, + 8072 + ], + [ + 6286, + 9645 + ], + [ + 92, + 1177 + ], + [ + 904, + 1055 + ], + [ + 1370, + 1794 + ], + [ + 9176, + 10755 + ], + [ + 5848, + 9419 + ], + [ + 4188, + 11137 + ], + [ + 1144, + 9560 + ], + [ + 4119, + 6836 + ], + [ + 1598, + 7286 + ], + [ + 3254, + 11461 + ], + [ + 5523, + 10009 + ], + [ + 3780, + 10753 + ], + [ + 2880, + 8776 + ], + [ + 10122, + 11545 + ], + [ + 1758, + 7918 + ], + [ + 1844, + 6938 + ], + [ + 1909, + 8087 + ], + [ + 6427, + 7941 + ], + [ + 2747, + 2770 + ], + [ + 9288, + 10565 + ], + [ + 2408, + 3304 + ], + [ + 2411, + 6985 + ], + [ + 3772, + 10111 + ], + [ + 3560, + 5502 + ], + [ + 2464, + 5865 + ], + [ + 1008, + 10803 + ], + [ + 9433, + 10919 + ], + [ + 6654, + 9825 + ], + [ + 351, + 11213 + ], + [ + 2839, + 9125 + ], + [ + 2144, + 7580 + ], + [ + 3476, + 5804 + ], + [ + 7402, + 7998 + ], + [ + 2369, + 10142 + ], + [ + 716, + 3232 + ], + [ + 870, + 7082 + ], + [ + 6212, + 6447 + ], + [ + 1919, + 1985 + ], + [ + 4721, + 7412 + ], + [ + 10949, + 11300 + ], + [ + 2728, + 7981 + ], + [ + 9295, + 10581 + ], + [ + 4436, + 8182 + ], + [ + 647, + 7949 + ], + [ + 3570, + 11451 + ], + [ + 5929, + 6509 + ], + [ + 1018, + 3920 + ], + [ + 3060, + 3243 + ], + [ + 515, + 2545 + ], + [ + 7108, + 7120 + ], + [ + 8143, + 8733 + ], + [ + 1875, + 2036 + ], + [ + 5892, + 10764 + ], + [ + 658, + 8488 + ], + [ + 5707, + 7978 + ], + [ + 475, + 3119 + ], + [ + 2586, + 4491 + ], + [ + 939, + 7195 + ], + [ + 6624, + 7680 + ], + [ + 5225, + 8234 + ], + [ + 4242, + 10918 + ], + [ + 2432, + 4024 + ], + [ + 4295, + 7546 + ], + [ + 255, + 4284 + ], + [ + 6636, + 8414 + ], + [ + 3236, + 11174 + ], + [ + 929, + 3474 + ], + [ + 4910, + 6129 + ], + [ + 3264, + 3773 + ], + [ + 2259, + 10670 + ], + [ + 275, + 8319 + ], + [ + 557, + 11415 + ], + [ + 7995, + 11090 + ], + [ + 5445, + 6638 + ], + [ + 708, + 11584 + ], + [ + 173, + 1626 + ], + [ + 1260, + 5681 + ], + [ + 2535, + 2617 + ], + [ + 7992, + 10792 + ], + [ + 9451, + 10289 + ], + [ + 1758, + 9341 + ], + [ + 8700, + 9566 + ], + [ + 2848, + 4245 + ], + [ + 3161, + 9660 + ], + [ + 907, + 11420 + ], + [ + 1998, + 6549 + ], + [ + 9251, + 10608 + ], + [ + 7609, + 7994 + ], + [ + 5424, + 7639 + ], + [ + 4137, + 9188 + ], + [ + 2241, + 2520 + ], + [ + 658, + 1267 + ], + [ + 9162, + 10536 + ], + [ + 2372, + 11082 + ], + [ + 7995, + 9935 + ], + [ + 4796, + 11453 + ], + [ + 1716, + 9465 + ], + [ + 2487, + 9342 + ], + [ + 4754, + 11227 + ], + [ + 1619, + 3870 + ], + [ + 6966, + 9241 + ], + [ + 2823, + 8510 + ], + [ + 9077, + 10613 + ], + [ + 1303, + 10989 + ], + [ + 4156, + 7336 + ], + [ + 3225, + 3794 + ], + [ + 5659, + 6351 + ], + [ + 772, + 8320 + ], + [ + 9698, + 10142 + ], + [ + 6453, + 10561 + ], + [ + 6218, + 11418 + ], + [ + 392, + 11482 + ], + [ + 517, + 10430 + ], + [ + 2651, + 2926 + ], + [ + 2224, + 7777 + ], + [ + 4402, + 6207 + ], + [ + 2103, + 9702 + ], + [ + 5680, + 7578 + ], + [ + 3204, + 4795 + ], + [ + 8162, + 11337 + ], + [ + 3800, + 4826 + ], + [ + 3643, + 11258 + ], + [ + 8868, + 9284 + ], + [ + 9184, + 11210 + ], + [ + 970, + 4898 + ], + [ + 2559, + 10103 + ], + [ + 8557, + 11085 + ], + [ + 2492, + 8881 + ], + [ + 5412, + 8702 + ], + [ + 985, + 1796 + ], + [ + 1766, + 2361 + ], + [ + 145, + 4034 + ], + [ + 5315, + 8769 + ], + [ + 2354, + 8947 + ], + [ + 769, + 6867 + ], + [ + 10457, + 11456 + ], + [ + 620, + 10908 + ], + [ + 8340, + 9515 + ], + [ + 6829, + 9104 + ], + [ + 1362, + 10764 + ], + [ + 1574, + 2541 + ], + [ + 549, + 9163 + ], + [ + 1106, + 10020 + ], + [ + 1628, + 5406 + ], + [ + 2003, + 5283 + ], + [ + 5630, + 6686 + ], + [ + 2969, + 10509 + ], + [ + 3308, + 10729 + ], + [ + 8444, + 9464 + ], + [ + 4058, + 8975 + ], + [ + 5598, + 7148 + ], + [ + 467, + 8757 + ], + [ + 3635, + 6428 + ], + [ + 3328, + 11381 + ], + [ + 3615, + 8405 + ], + [ + 1588, + 9390 + ], + [ + 1359, + 10092 + ], + [ + 7377, + 10198 + ], + [ + 9835, + 10897 + ], + [ + 1890, + 3312 + ], + [ + 5728, + 9823 + ], + [ + 589, + 991 + ], + [ + 9864, + 10137 + ], + [ + 2732, + 10946 + ], + [ + 2732, + 4530 + ], + [ + 7059, + 7822 + ], + [ + 2515, + 6747 + ], + [ + 1288, + 8347 + ], + [ + 2263, + 11407 + ], + [ + 895, + 5612 + ], + [ + 3164, + 10576 + ], + [ + 6709, + 7416 + ], + [ + 6671, + 10342 + ], + [ + 6571, + 6728 + ], + [ + 4683, + 11255 + ], + [ + 1655, + 10211 + ], + [ + 3333, + 7537 + ], + [ + 2371, + 8846 + ], + [ + 6164, + 11450 + ], + [ + 4165, + 8067 + ], + [ + 689, + 6833 + ], + [ + 4231, + 9818 + ], + [ + 62, + 3702 + ], + [ + 120, + 1428 + ], + [ + 1152, + 5022 + ], + [ + 2257, + 4021 + ], + [ + 1572, + 3918 + ], + [ + 3445, + 8128 + ], + [ + 931, + 9749 + ], + [ + 23, + 1495 + ], + [ + 3424, + 8005 + ], + [ + 1679, + 7922 + ], + [ + 5194, + 9084 + ], + [ + 1163, + 2178 + ], + [ + 6348, + 7945 + ], + [ + 1049, + 5274 + ], + [ + 2790, + 10119 + ], + [ + 2912, + 8796 + ], + [ + 6145, + 6862 + ], + [ + 8519, + 10122 + ], + [ + 1427, + 3914 + ], + [ + 8954, + 9296 + ], + [ + 5176, + 7000 + ], + [ + 298, + 6803 + ], + [ + 3092, + 7451 + ], + [ + 1225, + 6439 + ], + [ + 2505, + 4473 + ], + [ + 5402, + 6754 + ], + [ + 6828, + 10275 + ], + [ + 4500, + 8114 + ], + [ + 1599, + 8343 + ], + [ + 5771, + 7560 + ], + [ + 1626, + 10166 + ], + [ + 3463, + 6805 + ], + [ + 2186, + 9042 + ], + [ + 7819, + 8583 + ], + [ + 56, + 2732 + ], + [ + 2774, + 2796 + ], + [ + 437, + 11469 + ], + [ + 2402, + 7354 + ], + [ + 6970, + 9577 + ], + [ + 866, + 1783 + ], + [ + 2985, + 9432 + ], + [ + 1058, + 8369 + ], + [ + 9399, + 9538 + ], + [ + 8401, + 11190 + ], + [ + 5412, + 9320 + ], + [ + 2153, + 10033 + ], + [ + 3669, + 10064 + ], + [ + 10241, + 11510 + ], + [ + 3047, + 7277 + ], + [ + 626, + 4925 + ], + [ + 5314, + 9916 + ], + [ + 4978, + 9967 + ], + [ + 10735, + 11264 + ], + [ + 7113, + 9481 + ], + [ + 3107, + 11465 + ], + [ + 2608, + 7580 + ], + [ + 237, + 4591 + ], + [ + 7246, + 8290 + ], + [ + 2630, + 4895 + ], + [ + 2719, + 10602 + ], + [ + 2416, + 10793 + ], + [ + 3464, + 8504 + ], + [ + 4458, + 10116 + ], + [ + 81, + 1045 + ], + [ + 831, + 2297 + ], + [ + 4473, + 11148 + ], + [ + 4781, + 9803 + ], + [ + 1825, + 3155 + ], + [ + 2965, + 4592 + ], + [ + 2567, + 7929 + ], + [ + 6113, + 10656 + ], + [ + 5082, + 9916 + ], + [ + 4115, + 10127 + ], + [ + 3554, + 7616 + ], + [ + 3617, + 5686 + ], + [ + 1273, + 4520 + ], + [ + 8127, + 11314 + ], + [ + 2730, + 8108 + ], + [ + 1, + 4849 + ], + [ + 4455, + 10168 + ], + [ + 56, + 5310 + ], + [ + 703, + 2677 + ], + [ + 155, + 10951 + ], + [ + 7244, + 10472 + ], + [ + 556, + 5633 + ], + [ + 1767, + 11444 + ], + [ + 561, + 10141 + ], + [ + 900, + 3191 + ], + [ + 3106, + 3669 + ], + [ + 4530, + 11281 + ], + [ + 4910, + 10748 + ], + [ + 1737, + 6317 + ], + [ + 6491, + 8922 + ], + [ + 6301, + 8798 + ], + [ + 2292, + 4849 + ], + [ + 3761, + 9198 + ], + [ + 3873, + 9439 + ], + [ + 3940, + 10661 + ], + [ + 1911, + 11573 + ], + [ + 7239, + 10478 + ], + [ + 9880, + 10884 + ], + [ + 2631, + 7698 + ], + [ + 5616, + 5662 + ], + [ + 6982, + 9132 + ], + [ + 4150, + 4994 + ], + [ + 1481, + 8956 + ], + [ + 6261, + 6366 + ], + [ + 1131, + 10829 + ], + [ + 6539, + 8562 + ], + [ + 422, + 6168 + ], + [ + 5921, + 9681 + ], + [ + 10996, + 11146 + ], + [ + 6974, + 11119 + ], + [ + 4755, + 6272 + ], + [ + 811, + 6128 + ], + [ + 7430, + 9672 + ], + [ + 4021, + 9660 + ], + [ + 1826, + 2201 + ], + [ + 5602, + 7834 + ], + [ + 2541, + 10814 + ], + [ + 627, + 9956 + ], + [ + 8624, + 11315 + ], + [ + 6959, + 7054 + ], + [ + 744, + 1873 + ], + [ + 3515, + 7987 + ], + [ + 2850, + 8536 + ], + [ + 5811, + 8358 + ], + [ + 1136, + 10772 + ], + [ + 1914, + 4650 + ], + [ + 666, + 5373 + ], + [ + 5748, + 8009 + ], + [ + 1383, + 1981 + ], + [ + 734, + 3787 + ], + [ + 4655, + 5637 + ], + [ + 3404, + 9095 + ], + [ + 6864, + 10550 + ], + [ + 7757, + 11356 + ], + [ + 6396, + 8230 + ], + [ + 6110, + 8398 + ], + [ + 7, + 9874 + ], + [ + 1975, + 5276 + ], + [ + 5881, + 6094 + ], + [ + 137, + 9166 + ], + [ + 5142, + 9138 + ], + [ + 3142, + 8536 + ], + [ + 2243, + 9413 + ], + [ + 6040, + 7255 + ], + [ + 2994, + 4851 + ], + [ + 5733, + 5792 + ], + [ + 5752, + 10006 + ], + [ + 3888, + 8511 + ], + [ + 3659, + 6961 + ], + [ + 4603, + 8456 + ], + [ + 7065, + 7399 + ], + [ + 1265, + 8684 + ], + [ + 4687, + 7403 + ], + [ + 2068, + 10728 + ], + [ + 3472, + 4102 + ], + [ + 3229, + 10760 + ], + [ + 2730, + 3465 + ], + [ + 610, + 10675 + ], + [ + 5306, + 6105 + ], + [ + 2971, + 9189 + ], + [ + 4523, + 5467 + ], + [ + 1515, + 9963 + ], + [ + 980, + 6421 + ], + [ + 1441, + 6816 + ], + [ + 1343, + 4029 + ], + [ + 3378, + 7069 + ], + [ + 5608, + 6443 + ], + [ + 658, + 10342 + ], + [ + 690, + 6093 + ], + [ + 7083, + 7574 + ], + [ + 6070, + 8194 + ], + [ + 2183, + 5174 + ], + [ + 151, + 5815 + ], + [ + 2654, + 4005 + ], + [ + 1864, + 6360 + ], + [ + 7980, + 9253 + ], + [ + 3708, + 5668 + ], + [ + 7094, + 11146 + ], + [ + 1650, + 8094 + ], + [ + 2243, + 8608 + ], + [ + 8714, + 9248 + ], + [ + 1307, + 4722 + ], + [ + 2494, + 10139 + ], + [ + 5104, + 8980 + ], + [ + 7802, + 9920 + ], + [ + 6902, + 7943 + ], + [ + 3390, + 4046 + ], + [ + 3018, + 8604 + ], + [ + 371, + 10635 + ], + [ + 4163, + 10385 + ], + [ + 1047, + 6488 + ], + [ + 2348, + 2393 + ], + [ + 3471, + 6105 + ], + [ + 1729, + 6293 + ], + [ + 9662, + 10111 + ], + [ + 8201, + 9787 + ], + [ + 1578, + 9507 + ], + [ + 663, + 6498 + ], + [ + 232, + 7443 + ], + [ + 7611, + 9921 + ], + [ + 4082, + 10581 + ], + [ + 4216, + 7363 + ], + [ + 161, + 2315 + ], + [ + 2206, + 5319 + ], + [ + 3711, + 5915 + ], + [ + 3862, + 6084 + ], + [ + 3681, + 7204 + ], + [ + 3077, + 8029 + ], + [ + 4269, + 7374 + ], + [ + 10841, + 11072 + ], + [ + 5294, + 10551 + ], + [ + 8928, + 8961 + ], + [ + 2856, + 6340 + ], + [ + 6655, + 7261 + ], + [ + 4385, + 10740 + ], + [ + 8776, + 9321 + ], + [ + 374, + 3712 + ], + [ + 4010, + 6332 + ], + [ + 800, + 2773 + ], + [ + 703, + 9256 + ], + [ + 7487, + 10393 + ], + [ + 142, + 329 + ], + [ + 3503, + 7440 + ], + [ + 2524, + 6890 + ], + [ + 7733, + 10799 + ], + [ + 7038, + 9254 + ], + [ + 2177, + 6028 + ], + [ + 1786, + 6372 + ], + [ + 11490, + 11494 + ], + [ + 2275, + 2399 + ], + [ + 1068, + 3877 + ], + [ + 5173, + 8288 + ], + [ + 4015, + 5521 + ], + [ + 7287, + 9931 + ], + [ + 3916, + 4761 + ], + [ + 318, + 1844 + ], + [ + 6997, + 9603 + ], + [ + 2078, + 2235 + ], + [ + 2976, + 3385 + ], + [ + 1389, + 11058 + ], + [ + 3199, + 5874 + ], + [ + 6499, + 9326 + ], + [ + 4134, + 9535 + ], + [ + 118, + 8579 + ], + [ + 666, + 5186 + ], + [ + 2445, + 4099 + ], + [ + 3619, + 4366 + ], + [ + 2776, + 2923 + ], + [ + 8577, + 10908 + ], + [ + 4362, + 8611 + ], + [ + 10910, + 11161 + ], + [ + 793, + 10596 + ], + [ + 160, + 10683 + ], + [ + 1255, + 5931 + ], + [ + 743, + 3312 + ], + [ + 772, + 8214 + ], + [ + 1931, + 11583 + ], + [ + 2948, + 4319 + ], + [ + 2106, + 9894 + ], + [ + 7307, + 9778 + ], + [ + 1113, + 5474 + ], + [ + 10863, + 10941 + ], + [ + 2267, + 10751 + ], + [ + 10132, + 10493 + ], + [ + 4765, + 9351 + ], + [ + 3201, + 11558 + ], + [ + 5095, + 10983 + ], + [ + 8018, + 8069 + ], + [ + 2235, + 9715 + ], + [ + 7579, + 11405 + ], + [ + 6097, + 10204 + ], + [ + 3498, + 8519 + ], + [ + 5394, + 8017 + ], + [ + 8323, + 9055 + ], + [ + 3455, + 8822 + ], + [ + 3238, + 3869 + ], + [ + 4829, + 9901 + ], + [ + 3213, + 5502 + ], + [ + 2215, + 7154 + ], + [ + 284, + 10853 + ], + [ + 1034, + 9853 + ], + [ + 5576, + 7849 + ], + [ + 5719, + 10409 + ], + [ + 435, + 8770 + ], + [ + 3673, + 7180 + ], + [ + 1667, + 2626 + ], + [ + 1960, + 2848 + ], + [ + 2242, + 2534 + ], + [ + 2861, + 10685 + ], + [ + 8981, + 10344 + ], + [ + 3542, + 11046 + ], + [ + 10165, + 11299 + ], + [ + 2968, + 7549 + ], + [ + 7492, + 11355 + ], + [ + 426, + 706 + ], + [ + 1606, + 4952 + ], + [ + 3686, + 7011 + ], + [ + 4178, + 7473 + ], + [ + 5590, + 11288 + ], + [ + 4054, + 5717 + ], + [ + 1512, + 10952 + ], + [ + 3472, + 6493 + ], + [ + 3255, + 7956 + ], + [ + 5891, + 8018 + ], + [ + 2312, + 9315 + ], + [ + 9807, + 10278 + ], + [ + 1536, + 2678 + ], + [ + 5273, + 9137 + ], + [ + 6732, + 8634 + ], + [ + 1968, + 3089 + ], + [ + 1752, + 8160 + ], + [ + 2521, + 6456 + ], + [ + 1072, + 8401 + ], + [ + 688, + 10690 + ], + [ + 147, + 7333 + ], + [ + 2110, + 8807 + ], + [ + 2048, + 7929 + ], + [ + 8997, + 11577 + ], + [ + 4111, + 6601 + ], + [ + 1187, + 9290 + ], + [ + 1982, + 3145 + ], + [ + 268, + 8791 + ], + [ + 8242, + 9200 + ], + [ + 2103, + 11019 + ], + [ + 6741, + 9477 + ], + [ + 3666, + 8587 + ], + [ + 8024, + 11192 + ], + [ + 5242, + 6417 + ], + [ + 4777, + 10784 + ], + [ + 5966, + 6448 + ], + [ + 675, + 3638 + ], + [ + 4095, + 7946 + ], + [ + 7111, + 7475 + ], + [ + 6113, + 9127 + ], + [ + 8518, + 10946 + ], + [ + 3995, + 4332 + ], + [ + 3248, + 9013 + ], + [ + 5128, + 8732 + ], + [ + 2124, + 5830 + ], + [ + 3130, + 8203 + ], + [ + 7607, + 8810 + ], + [ + 1757, + 10732 + ], + [ + 7266, + 8517 + ], + [ + 3159, + 7443 + ], + [ + 2746, + 11246 + ], + [ + 4339, + 7525 + ], + [ + 9843, + 11382 + ], + [ + 4795, + 5324 + ], + [ + 2597, + 4707 + ], + [ + 2815, + 6098 + ], + [ + 7693, + 11213 + ], + [ + 9100, + 10520 + ], + [ + 6452, + 8943 + ], + [ + 8191, + 8457 + ], + [ + 1902, + 7299 + ], + [ + 1081, + 3171 + ], + [ + 1394, + 2170 + ], + [ + 9544, + 10187 + ], + [ + 143, + 2622 + ], + [ + 3632, + 4815 + ], + [ + 7778, + 9981 + ], + [ + 8215, + 9982 + ], + [ + 1419, + 3166 + ], + [ + 6028, + 9554 + ], + [ + 1955, + 9562 + ], + [ + 85, + 2617 + ], + [ + 6645, + 8210 + ], + [ + 430, + 6035 + ], + [ + 6808, + 9894 + ], + [ + 6185, + 6505 + ], + [ + 6123, + 9791 + ], + [ + 2001, + 3521 + ], + [ + 11071, + 11481 + ], + [ + 5524, + 10960 + ], + [ + 3003, + 11410 + ], + [ + 786, + 10019 + ], + [ + 628, + 2263 + ], + [ + 5020, + 5950 + ], + [ + 7143, + 9591 + ], + [ + 8918, + 11014 + ], + [ + 5396, + 8681 + ], + [ + 4248, + 10766 + ], + [ + 4000, + 7254 + ], + [ + 4709, + 5499 + ], + [ + 1501, + 9183 + ], + [ + 7815, + 11337 + ], + [ + 1175, + 9198 + ], + [ + 3668, + 7454 + ], + [ + 3138, + 4256 + ], + [ + 4550, + 8071 + ], + [ + 8003, + 8355 + ], + [ + 2430, + 2449 + ], + [ + 4202, + 10771 + ], + [ + 6406, + 11176 + ], + [ + 6812, + 9612 + ], + [ + 300, + 2555 + ], + [ + 7469, + 7667 + ], + [ + 5325, + 10319 + ], + [ + 3733, + 4816 + ], + [ + 1983, + 4389 + ], + [ + 8765, + 9617 + ], + [ + 10597, + 11574 + ], + [ + 332, + 8105 + ], + [ + 5595, + 8867 + ], + [ + 7269, + 10238 + ], + [ + 1364, + 6037 + ], + [ + 2702, + 7459 + ], + [ + 4372, + 4924 + ], + [ + 3777, + 11130 + ], + [ + 38, + 10260 + ], + [ + 1067, + 1505 + ], + [ + 5514, + 9817 + ], + [ + 6068, + 6993 + ], + [ + 3770, + 6926 + ], + [ + 3636, + 3728 + ], + [ + 5351, + 11516 + ], + [ + 5320, + 5787 + ], + [ + 10703, + 11569 + ], + [ + 710, + 6344 + ], + [ + 717, + 1099 + ], + [ + 274, + 529 + ], + [ + 7056, + 11419 + ], + [ + 2954, + 10689 + ], + [ + 583, + 7700 + ], + [ + 8520, + 9008 + ], + [ + 1980, + 6319 + ], + [ + 2202, + 9364 + ], + [ + 4812, + 8205 + ], + [ + 667, + 6647 + ], + [ + 1300, + 4308 + ], + [ + 2594, + 5458 + ], + [ + 5028, + 8769 + ], + [ + 5224, + 6429 + ], + [ + 1823, + 9718 + ], + [ + 486, + 4734 + ], + [ + 4023, + 9627 + ], + [ + 5797, + 8196 + ], + [ + 296, + 4610 + ], + [ + 5208, + 10807 + ], + [ + 731, + 4538 + ], + [ + 4019, + 6475 + ], + [ + 4677, + 8138 + ], + [ + 1621, + 8456 + ], + [ + 506, + 3107 + ], + [ + 1223, + 7629 + ], + [ + 965, + 9091 + ], + [ + 4492, + 5352 + ], + [ + 1940, + 10653 + ], + [ + 3115, + 10391 + ], + [ + 4445, + 5536 + ], + [ + 10604, + 10785 + ], + [ + 158, + 11442 + ], + [ + 2455, + 11284 + ], + [ + 9466, + 10148 + ], + [ + 5347, + 6805 + ], + [ + 173, + 5334 + ], + [ + 1401, + 6588 + ], + [ + 3476, + 9057 + ], + [ + 4792, + 5994 + ], + [ + 704, + 4970 + ], + [ + 919, + 2680 + ], + [ + 2204, + 4468 + ], + [ + 3236, + 8816 + ], + [ + 829, + 3918 + ], + [ + 4027, + 9345 + ], + [ + 1764, + 8333 + ], + [ + 2918, + 7194 + ], + [ + 6678, + 7406 + ], + [ + 986, + 10668 + ], + [ + 6979, + 9054 + ], + [ + 1782, + 5125 + ], + [ + 7671, + 9547 + ], + [ + 4798, + 5408 + ], + [ + 3932, + 6425 + ], + [ + 100, + 9528 + ], + [ + 1554, + 2265 + ], + [ + 1810, + 4140 + ], + [ + 7847, + 10712 + ], + [ + 6913, + 7653 + ], + [ + 6500, + 11456 + ], + [ + 218, + 5053 + ], + [ + 4118, + 9032 + ], + [ + 396, + 9297 + ], + [ + 3954, + 7123 + ], + [ + 2773, + 9822 + ], + [ + 5318, + 7514 + ], + [ + 1679, + 4596 + ], + [ + 4253, + 7944 + ], + [ + 10085, + 11078 + ], + [ + 613, + 11217 + ], + [ + 5718, + 8387 + ], + [ + 3047, + 5106 + ], + [ + 2388, + 6224 + ], + [ + 1388, + 11213 + ], + [ + 2322, + 7856 + ], + [ + 4867, + 6302 + ], + [ + 853, + 1255 + ], + [ + 1479, + 4161 + ], + [ + 5706, + 10255 + ], + [ + 5155, + 6180 + ], + [ + 2004, + 6234 + ], + [ + 6392, + 10933 + ], + [ + 8200, + 8332 + ], + [ + 2371, + 4715 + ], + [ + 4588, + 7237 + ], + [ + 3583, + 7718 + ], + [ + 95, + 1963 + ], + [ + 1528, + 6655 + ], + [ + 4986, + 7283 + ], + [ + 9836, + 10350 + ], + [ + 6842, + 8136 + ], + [ + 1578, + 9401 + ], + [ + 5377, + 10322 + ], + [ + 3424, + 10290 + ], + [ + 1452, + 4566 + ], + [ + 1176, + 2416 + ], + [ + 9355, + 10427 + ], + [ + 237, + 11064 + ], + [ + 6770, + 8418 + ], + [ + 5748, + 9676 + ], + [ + 729, + 11526 + ], + [ + 1921, + 6707 + ], + [ + 2196, + 2216 + ], + [ + 9229, + 10473 + ], + [ + 74, + 6347 + ], + [ + 1657, + 8354 + ], + [ + 3706, + 8848 + ], + [ + 9010, + 9611 + ], + [ + 3740, + 7678 + ], + [ + 3252, + 8089 + ], + [ + 1124, + 4858 + ], + [ + 159, + 11531 + ], + [ + 5799, + 5827 + ], + [ + 4412, + 10178 + ], + [ + 3357, + 10542 + ], + [ + 6311, + 6941 + ], + [ + 4728, + 5688 + ], + [ + 773, + 9889 + ], + [ + 5444, + 10739 + ], + [ + 3163, + 4260 + ], + [ + 81, + 6363 + ], + [ + 1894, + 11276 + ], + [ + 994, + 2883 + ], + [ + 794, + 7733 + ], + [ + 3385, + 6524 + ], + [ + 953, + 3259 + ], + [ + 886, + 2037 + ], + [ + 6980, + 9143 + ], + [ + 397, + 1846 + ], + [ + 1534, + 9428 + ], + [ + 388, + 4012 + ], + [ + 5300, + 10209 + ], + [ + 202, + 4788 + ], + [ + 8359, + 10566 + ], + [ + 3841, + 4296 + ], + [ + 3065, + 4075 + ], + [ + 3937, + 4004 + ], + [ + 1908, + 11332 + ], + [ + 5017, + 11052 + ], + [ + 537, + 1102 + ], + [ + 1352, + 6913 + ], + [ + 3220, + 4363 + ], + [ + 1850, + 10573 + ], + [ + 166, + 2098 + ], + [ + 1910, + 8372 + ], + [ + 3431, + 9501 + ], + [ + 3488, + 3619 + ], + [ + 561, + 9043 + ], + [ + 444, + 1288 + ], + [ + 1474, + 11225 + ], + [ + 999, + 6236 + ], + [ + 2169, + 5630 + ], + [ + 1057, + 5460 + ], + [ + 723, + 6338 + ], + [ + 3236, + 5246 + ], + [ + 1180, + 1329 + ], + [ + 1649, + 6503 + ], + [ + 1166, + 3151 + ], + [ + 5431, + 5565 + ], + [ + 7645, + 10822 + ], + [ + 81, + 5558 + ], + [ + 1428, + 4814 + ], + [ + 893, + 1272 + ], + [ + 7897, + 11043 + ], + [ + 772, + 3197 + ], + [ + 1795, + 9711 + ], + [ + 2383, + 9881 + ], + [ + 480, + 9212 + ], + [ + 8071, + 9883 + ], + [ + 1282, + 6867 + ], + [ + 2252, + 8085 + ], + [ + 258, + 882 + ], + [ + 8095, + 11408 + ], + [ + 297, + 6472 + ], + [ + 1782, + 4938 + ], + [ + 92, + 5316 + ], + [ + 2832, + 9865 + ], + [ + 1650, + 8956 + ], + [ + 2025, + 8079 + ], + [ + 6944, + 9031 + ], + [ + 719, + 3162 + ], + [ + 342, + 2458 + ], + [ + 505, + 10558 + ], + [ + 4941, + 8158 + ], + [ + 6314, + 8635 + ], + [ + 3741, + 5889 + ], + [ + 3509, + 6320 + ], + [ + 1234, + 10209 + ], + [ + 9859, + 11137 + ], + [ + 2491, + 10703 + ], + [ + 4819, + 6448 + ], + [ + 2458, + 8311 + ], + [ + 10137, + 11081 + ], + [ + 1618, + 10549 + ], + [ + 4199, + 4488 + ], + [ + 732, + 6026 + ], + [ + 11105, + 11472 + ], + [ + 336, + 6026 + ], + [ + 1576, + 10323 + ], + [ + 2018, + 11422 + ], + [ + 4972, + 10073 + ], + [ + 1634, + 8049 + ], + [ + 5336, + 11289 + ], + [ + 2036, + 5585 + ], + [ + 3971, + 5011 + ], + [ + 1593, + 11431 + ], + [ + 289, + 2423 + ], + [ + 4435, + 9087 + ], + [ + 3869, + 3980 + ], + [ + 5491, + 11577 + ], + [ + 4798, + 7449 + ], + [ + 694, + 10056 + ], + [ + 6414, + 8061 + ], + [ + 6047, + 6547 + ], + [ + 1249, + 7053 + ], + [ + 2114, + 3559 + ], + [ + 8526, + 10008 + ], + [ + 3044, + 3466 + ], + [ + 3198, + 7316 + ], + [ + 2387, + 8794 + ], + [ + 1009, + 3809 + ], + [ + 1110, + 11031 + ], + [ + 1265, + 1520 + ], + [ + 5468, + 7220 + ], + [ + 3842, + 4385 + ], + [ + 2379, + 7398 + ], + [ + 1422, + 9051 + ], + [ + 1314, + 1412 + ], + [ + 18, + 3599 + ], + [ + 195, + 4235 + ], + [ + 2127, + 4144 + ], + [ + 5550, + 7969 + ], + [ + 5424, + 9550 + ], + [ + 978, + 9010 + ], + [ + 6552, + 7190 + ], + [ + 4047, + 8173 + ], + [ + 1569, + 8697 + ], + [ + 2173, + 2984 + ], + [ + 1068, + 4739 + ], + [ + 648, + 5873 + ], + [ + 8901, + 11359 + ], + [ + 7373, + 9813 + ], + [ + 1343, + 10047 + ], + [ + 4536, + 8714 + ], + [ + 152, + 4888 + ], + [ + 5286, + 9966 + ], + [ + 1335, + 9405 + ], + [ + 8611, + 11004 + ], + [ + 5228, + 9207 + ], + [ + 5247, + 7005 + ], + [ + 923, + 10400 + ], + [ + 5250, + 11440 + ], + [ + 5398, + 7174 + ], + [ + 7853, + 9110 + ], + [ + 3257, + 7091 + ], + [ + 4618, + 10217 + ], + [ + 7543, + 8130 + ], + [ + 4318, + 9925 + ], + [ + 2004, + 7470 + ], + [ + 3468, + 5059 + ], + [ + 135, + 9795 + ], + [ + 943, + 8019 + ], + [ + 4869, + 10967 + ], + [ + 3124, + 10884 + ], + [ + 199, + 4303 + ], + [ + 288, + 10010 + ], + [ + 5321, + 5614 + ], + [ + 8321, + 11026 + ], + [ + 4202, + 8437 + ], + [ + 876, + 3764 + ], + [ + 1490, + 5155 + ], + [ + 3551, + 7164 + ], + [ + 2713, + 6065 + ], + [ + 6481, + 7673 + ], + [ + 4291, + 7728 + ], + [ + 3182, + 4823 + ], + [ + 3307, + 10187 + ], + [ + 1184, + 5048 + ], + [ + 211, + 7696 + ], + [ + 25, + 11478 + ], + [ + 8624, + 11185 + ], + [ + 4944, + 5260 + ], + [ + 1833, + 2461 + ], + [ + 7278, + 9121 + ], + [ + 1791, + 8651 + ], + [ + 675, + 3077 + ], + [ + 1144, + 8251 + ], + [ + 8575, + 10919 + ], + [ + 1846, + 5325 + ], + [ + 1631, + 1953 + ], + [ + 2785, + 7230 + ], + [ + 350, + 6700 + ], + [ + 1418, + 10705 + ], + [ + 3875, + 8550 + ], + [ + 1690, + 1779 + ], + [ + 4618, + 6379 + ], + [ + 3116, + 10218 + ], + [ + 4217, + 5281 + ], + [ + 4991, + 11091 + ], + [ + 6890, + 8608 + ], + [ + 3956, + 4193 + ], + [ + 2278, + 6086 + ], + [ + 2990, + 10264 + ], + [ + 4953, + 5322 + ], + [ + 2950, + 4449 + ], + [ + 1838, + 5033 + ], + [ + 9367, + 11242 + ], + [ + 403, + 3678 + ], + [ + 4262, + 4650 + ], + [ + 360, + 598 + ], + [ + 544, + 3159 + ], + [ + 7311, + 10708 + ], + [ + 4840, + 9767 + ], + [ + 3883, + 11420 + ], + [ + 661, + 711 + ], + [ + 6082, + 9229 + ], + [ + 662, + 3565 + ], + [ + 3000, + 4916 + ], + [ + 1327, + 6399 + ], + [ + 5993, + 9157 + ], + [ + 7760, + 10719 + ], + [ + 2445, + 9767 + ], + [ + 9468, + 10920 + ], + [ + 6174, + 9168 + ], + [ + 9566, + 11428 + ], + [ + 1120, + 5547 + ], + [ + 903, + 7010 + ], + [ + 1157, + 10310 + ], + [ + 2675, + 4752 + ], + [ + 6604, + 11381 + ], + [ + 2029, + 4577 + ], + [ + 434, + 4438 + ], + [ + 1213, + 8340 + ], + [ + 4884, + 10015 + ], + [ + 2040, + 10778 + ], + [ + 4249, + 9275 + ], + [ + 610, + 6357 + ], + [ + 6217, + 11093 + ], + [ + 1420, + 11070 + ], + [ + 1260, + 7405 + ], + [ + 10045, + 10500 + ], + [ + 4561, + 8049 + ], + [ + 3136, + 9634 + ], + [ + 1386, + 9207 + ], + [ + 3932, + 10507 + ], + [ + 539, + 4612 + ], + [ + 3997, + 5240 + ], + [ + 6025, + 11273 + ], + [ + 1574, + 6225 + ], + [ + 1559, + 4439 + ], + [ + 2568, + 7083 + ], + [ + 2085, + 3731 + ], + [ + 4173, + 10569 + ], + [ + 4078, + 7299 + ], + [ + 4210, + 8916 + ], + [ + 4740, + 5698 + ], + [ + 3584, + 3758 + ], + [ + 6817, + 8240 + ], + [ + 7262, + 8856 + ], + [ + 7876, + 10247 + ], + [ + 963, + 7010 + ], + [ + 2073, + 8982 + ], + [ + 2011, + 8104 + ], + [ + 4232, + 8116 + ], + [ + 239, + 3946 + ], + [ + 6651, + 9641 + ], + [ + 7489, + 10740 + ], + [ + 4982, + 8614 + ], + [ + 548, + 11117 + ], + [ + 2666, + 3834 + ], + [ + 2830, + 8372 + ], + [ + 6092, + 11340 + ], + [ + 8363, + 10715 + ], + [ + 3165, + 10348 + ], + [ + 2344, + 4722 + ], + [ + 6273, + 6433 + ], + [ + 4587, + 8465 + ], + [ + 208, + 4983 + ], + [ + 1106, + 6133 + ], + [ + 2028, + 5425 + ], + [ + 2659, + 9429 + ], + [ + 2012, + 4892 + ], + [ + 754, + 4927 + ], + [ + 4372, + 9974 + ], + [ + 4515, + 9528 + ], + [ + 7163, + 8072 + ], + [ + 1709, + 4332 + ], + [ + 1464, + 10163 + ], + [ + 968, + 6549 + ], + [ + 1145, + 11349 + ], + [ + 3954, + 7367 + ], + [ + 862, + 8782 + ], + [ + 8869, + 10829 + ], + [ + 371, + 5512 + ], + [ + 7869, + 9402 + ], + [ + 89, + 164 + ], + [ + 3442, + 8912 + ], + [ + 3194, + 11062 + ], + [ + 3290, + 5108 + ], + [ + 1722, + 10579 + ], + [ + 387, + 2258 + ], + [ + 2845, + 7875 + ], + [ + 1014, + 8772 + ], + [ + 5938, + 10068 + ], + [ + 9238, + 9356 + ], + [ + 331, + 9496 + ], + [ + 4837, + 7835 + ], + [ + 4808, + 6316 + ], + [ + 3495, + 8896 + ], + [ + 10028, + 10414 + ], + [ + 3185, + 7916 + ], + [ + 222, + 11431 + ], + [ + 5361, + 9683 + ], + [ + 9492, + 9653 + ], + [ + 2408, + 8224 + ], + [ + 1026, + 5749 + ], + [ + 3329, + 7291 + ], + [ + 5569, + 7353 + ], + [ + 4161, + 4411 + ], + [ + 2330, + 5308 + ], + [ + 4252, + 10191 + ], + [ + 5941, + 6178 + ], + [ + 3174, + 9605 + ], + [ + 2761, + 7746 + ], + [ + 4096, + 8897 + ], + [ + 2888, + 6767 + ], + [ + 2456, + 7110 + ], + [ + 329, + 10897 + ], + [ + 2421, + 8055 + ], + [ + 3164, + 5884 + ], + [ + 3625, + 6279 + ], + [ + 3974, + 4935 + ], + [ + 3683, + 10421 + ], + [ + 7394, + 9243 + ], + [ + 1291, + 6555 + ], + [ + 6831, + 10069 + ], + [ + 2437, + 5555 + ], + [ + 360, + 7177 + ], + [ + 1413, + 5986 + ], + [ + 1323, + 3060 + ], + [ + 1805, + 2080 + ], + [ + 2067, + 10159 + ], + [ + 4646, + 7435 + ], + [ + 3777, + 4771 + ], + [ + 8561, + 10968 + ], + [ + 1281, + 6217 + ], + [ + 2833, + 5905 + ], + [ + 2707, + 7486 + ], + [ + 7180, + 9849 + ], + [ + 1029, + 2209 + ], + [ + 8628, + 9911 + ], + [ + 832, + 5078 + ], + [ + 765, + 3856 + ], + [ + 4132, + 5120 + ], + [ + 305, + 8567 + ], + [ + 3474, + 9092 + ], + [ + 7859, + 9356 + ], + [ + 4127, + 7405 + ], + [ + 4851, + 7436 + ], + [ + 1178, + 8317 + ], + [ + 4370, + 10546 + ], + [ + 2252, + 5751 + ], + [ + 2152, + 8553 + ], + [ + 1883, + 3410 + ], + [ + 1974, + 2774 + ], + [ + 8231, + 11564 + ], + [ + 4960, + 10762 + ], + [ + 5196, + 7097 + ], + [ + 10, + 1829 + ], + [ + 6603, + 10568 + ], + [ + 6360, + 6646 + ], + [ + 3392, + 9817 + ], + [ + 4820, + 7749 + ], + [ + 129, + 8876 + ], + [ + 10373, + 11468 + ], + [ + 1600, + 3472 + ], + [ + 1404, + 4314 + ], + [ + 7477, + 10543 + ], + [ + 806, + 8337 + ], + [ + 6279, + 10629 + ], + [ + 6597, + 9218 + ], + [ + 8935, + 9815 + ], + [ + 2708, + 9535 + ], + [ + 7245, + 10193 + ], + [ + 3642, + 6932 + ], + [ + 1362, + 9723 + ], + [ + 123, + 6028 + ], + [ + 3853, + 11316 + ], + [ + 204, + 540 + ], + [ + 9080, + 10169 + ], + [ + 6000, + 8181 + ], + [ + 7798, + 11308 + ], + [ + 2383, + 6742 + ], + [ + 4597, + 5583 + ], + [ + 729, + 6777 + ], + [ + 543, + 3389 + ], + [ + 4691, + 9382 + ], + [ + 742, + 11146 + ], + [ + 6019, + 9362 + ], + [ + 2779, + 10125 + ], + [ + 1540, + 8682 + ], + [ + 7608, + 8151 + ], + [ + 199, + 6962 + ], + [ + 75, + 5206 + ], + [ + 4839, + 8499 + ], + [ + 7640, + 11072 + ], + [ + 7079, + 8561 + ], + [ + 7172, + 8752 + ], + [ + 391, + 7132 + ], + [ + 7067, + 11210 + ], + [ + 878, + 7250 + ], + [ + 8002, + 8455 + ], + [ + 1814, + 8103 + ], + [ + 4326, + 5655 + ], + [ + 962, + 2410 + ], + [ + 1001, + 8754 + ], + [ + 903, + 5213 + ], + [ + 4803, + 9192 + ], + [ + 6730, + 8003 + ], + [ + 5102, + 9259 + ], + [ + 2389, + 3123 + ], + [ + 2961, + 9176 + ], + [ + 4446, + 7642 + ], + [ + 1025, + 10279 + ], + [ + 459, + 7424 + ], + [ + 3819, + 4511 + ], + [ + 517, + 10812 + ], + [ + 8248, + 11463 + ], + [ + 575, + 2122 + ], + [ + 6488, + 10348 + ], + [ + 3664, + 10989 + ], + [ + 1207, + 8980 + ], + [ + 858, + 1656 + ], + [ + 1324, + 3149 + ], + [ + 1981, + 5368 + ], + [ + 6210, + 8125 + ], + [ + 5432, + 11241 + ], + [ + 5466, + 10825 + ], + [ + 6149, + 7849 + ], + [ + 9729, + 10160 + ], + [ + 660, + 7306 + ], + [ + 8700, + 9493 + ], + [ + 4524, + 6370 + ], + [ + 1372, + 2816 + ], + [ + 4212, + 10979 + ], + [ + 1535, + 4500 + ], + [ + 2063, + 6871 + ], + [ + 5452, + 9614 + ], + [ + 844, + 6080 + ], + [ + 5008, + 5436 + ], + [ + 3616, + 3751 + ], + [ + 4701, + 4727 + ], + [ + 341, + 5459 + ], + [ + 1686, + 8052 + ], + [ + 5725, + 7679 + ], + [ + 1238, + 7138 + ], + [ + 2616, + 4953 + ], + [ + 5821, + 8141 + ], + [ + 5413, + 10036 + ], + [ + 1265, + 4797 + ], + [ + 2980, + 6169 + ], + [ + 2733, + 9675 + ], + [ + 8015, + 8235 + ], + [ + 5831, + 11488 + ], + [ + 3403, + 7965 + ], + [ + 7365, + 9816 + ], + [ + 5703, + 5826 + ], + [ + 8256, + 10549 + ], + [ + 6895, + 7423 + ], + [ + 4372, + 11210 + ], + [ + 4652, + 7063 + ], + [ + 326, + 7379 + ], + [ + 6257, + 10549 + ], + [ + 639, + 5624 + ], + [ + 3647, + 5292 + ], + [ + 2927, + 8386 + ], + [ + 2361, + 3279 + ], + [ + 160, + 9561 + ], + [ + 2873, + 5117 + ], + [ + 3238, + 3552 + ], + [ + 5006, + 10974 + ], + [ + 5037, + 10287 + ], + [ + 8722, + 9386 + ], + [ + 6036, + 11489 + ], + [ + 3331, + 9378 + ], + [ + 2641, + 8931 + ], + [ + 2698, + 8684 + ], + [ + 1328, + 2062 + ], + [ + 1675, + 5553 + ], + [ + 2878, + 5087 + ], + [ + 1800, + 4501 + ], + [ + 4459, + 9650 + ], + [ + 75, + 5824 + ], + [ + 176, + 5876 + ], + [ + 9130, + 10500 + ], + [ + 5928, + 7583 + ], + [ + 2721, + 4322 + ], + [ + 8856, + 11429 + ], + [ + 3989, + 4251 + ], + [ + 7079, + 9179 + ], + [ + 518, + 9777 + ], + [ + 5391, + 9630 + ], + [ + 3894, + 7397 + ], + [ + 7013, + 8559 + ], + [ + 8482, + 8744 + ], + [ + 7236, + 10294 + ], + [ + 7159, + 8384 + ], + [ + 779, + 7108 + ], + [ + 1314, + 4234 + ], + [ + 9715, + 10372 + ], + [ + 243, + 4095 + ], + [ + 8780, + 9340 + ], + [ + 1904, + 10866 + ], + [ + 400, + 1046 + ], + [ + 778, + 10266 + ], + [ + 5570, + 5781 + ], + [ + 3455, + 11083 + ], + [ + 8147, + 8646 + ], + [ + 11049, + 11271 + ], + [ + 4817, + 10647 + ], + [ + 1450, + 2967 + ], + [ + 1678, + 11462 + ], + [ + 5224, + 8527 + ], + [ + 1368, + 11236 + ], + [ + 1645, + 9070 + ], + [ + 4072, + 8958 + ], + [ + 4337, + 10195 + ], + [ + 3944, + 7460 + ], + [ + 3228, + 8044 + ], + [ + 613, + 2443 + ], + [ + 3868, + 8404 + ], + [ + 573, + 3044 + ], + [ + 2725, + 6669 + ], + [ + 6077, + 6901 + ], + [ + 2632, + 10642 + ], + [ + 4898, + 5509 + ], + [ + 2183, + 2710 + ], + [ + 4090, + 4252 + ], + [ + 5640, + 9529 + ], + [ + 783, + 3793 + ], + [ + 1288, + 8624 + ], + [ + 3616, + 4369 + ], + [ + 5197, + 8959 + ], + [ + 2549, + 7382 + ], + [ + 215, + 1242 + ], + [ + 4380, + 5704 + ], + [ + 686, + 827 + ], + [ + 9961, + 9973 + ], + [ + 4918, + 6511 + ], + [ + 4176, + 5874 + ], + [ + 8565, + 10044 + ], + [ + 864, + 11487 + ], + [ + 9052, + 10162 + ], + [ + 8484, + 10644 + ], + [ + 2849, + 8024 + ], + [ + 2007, + 9435 + ], + [ + 3545, + 6007 + ], + [ + 1953, + 6920 + ], + [ + 19, + 10348 + ], + [ + 3534, + 5094 + ], + [ + 4844, + 10884 + ], + [ + 8472, + 9479 + ], + [ + 8284, + 9428 + ], + [ + 3504, + 5602 + ], + [ + 6305, + 8175 + ], + [ + 2650, + 10416 + ], + [ + 3092, + 4345 + ], + [ + 2242, + 8901 + ], + [ + 559, + 3280 + ], + [ + 877, + 1869 + ], + [ + 4956, + 5059 + ], + [ + 3775, + 7758 + ], + [ + 587, + 2295 + ], + [ + 896, + 3050 + ], + [ + 1823, + 3440 + ], + [ + 6406, + 10859 + ], + [ + 489, + 10805 + ], + [ + 241, + 11457 + ], + [ + 862, + 7603 + ], + [ + 8575, + 9203 + ], + [ + 3607, + 6080 + ], + [ + 5133, + 6799 + ], + [ + 2413, + 3656 + ], + [ + 2941, + 10191 + ], + [ + 3063, + 4704 + ], + [ + 898, + 6479 + ], + [ + 3164, + 5510 + ], + [ + 5528, + 7328 + ], + [ + 6266, + 10475 + ], + [ + 1911, + 5889 + ], + [ + 3067, + 5577 + ], + [ + 9322, + 11288 + ], + [ + 547, + 2465 + ], + [ + 5300, + 7851 + ], + [ + 1215, + 4092 + ], + [ + 306, + 2029 + ], + [ + 3495, + 11100 + ], + [ + 4692, + 5901 + ], + [ + 5483, + 7154 + ], + [ + 2479, + 4252 + ], + [ + 775, + 4170 + ], + [ + 2726, + 4129 + ], + [ + 1774, + 6126 + ], + [ + 9418, + 9841 + ], + [ + 3170, + 10936 + ], + [ + 4037, + 4105 + ], + [ + 9451, + 11452 + ], + [ + 5833, + 7159 + ], + [ + 3470, + 8195 + ], + [ + 5808, + 8792 + ], + [ + 3748, + 7385 + ], + [ + 1191, + 5926 + ], + [ + 4217, + 6143 + ], + [ + 2524, + 7004 + ], + [ + 8697, + 10431 + ], + [ + 1257, + 9929 + ], + [ + 4767, + 10747 + ], + [ + 3889, + 10249 + ], + [ + 4171, + 9181 + ], + [ + 1155, + 3236 + ], + [ + 11201, + 11505 + ], + [ + 1746, + 9339 + ], + [ + 4788, + 7837 + ], + [ + 1837, + 9457 + ], + [ + 3112, + 4141 + ], + [ + 5598, + 6888 + ], + [ + 7399, + 10286 + ], + [ + 4172, + 9002 + ], + [ + 3797, + 7627 + ], + [ + 526, + 9077 + ], + [ + 5132, + 5368 + ], + [ + 7408, + 11503 + ], + [ + 1548, + 6321 + ], + [ + 9359, + 10708 + ], + [ + 6766, + 7340 + ], + [ + 5367, + 7894 + ], + [ + 3825, + 8894 + ], + [ + 8739, + 9502 + ], + [ + 401, + 680 + ], + [ + 2534, + 6537 + ], + [ + 3571, + 11229 + ], + [ + 3905, + 10351 + ], + [ + 760, + 7968 + ], + [ + 1169, + 6675 + ], + [ + 4708, + 5979 + ], + [ + 9969, + 10078 + ], + [ + 3282, + 8093 + ], + [ + 818, + 1907 + ], + [ + 346, + 9267 + ], + [ + 1559, + 9489 + ], + [ + 9007, + 10606 + ], + [ + 4802, + 8243 + ], + [ + 5860, + 11560 + ], + [ + 5232, + 7827 + ], + [ + 189, + 9283 + ], + [ + 1723, + 7611 + ], + [ + 2145, + 3170 + ], + [ + 3110, + 5542 + ], + [ + 1905, + 7093 + ], + [ + 6290, + 8111 + ], + [ + 6818, + 10482 + ], + [ + 3893, + 10317 + ], + [ + 963, + 5644 + ], + [ + 1581, + 3771 + ], + [ + 685, + 2667 + ], + [ + 2333, + 2817 + ], + [ + 3081, + 7406 + ], + [ + 3984, + 8900 + ], + [ + 1742, + 8011 + ], + [ + 6874, + 10010 + ], + [ + 7798, + 10129 + ], + [ + 2603, + 7781 + ], + [ + 2878, + 3290 + ], + [ + 1972, + 7914 + ], + [ + 660, + 10315 + ], + [ + 1532, + 10244 + ], + [ + 1517, + 2042 + ], + [ + 2117, + 6733 + ], + [ + 9121, + 10088 + ], + [ + 315, + 10280 + ], + [ + 4396, + 10133 + ], + [ + 6349, + 10919 + ], + [ + 843, + 6235 + ], + [ + 2463, + 10753 + ], + [ + 5660, + 6910 + ], + [ + 969, + 8037 + ], + [ + 1236, + 5937 + ], + [ + 554, + 9515 + ], + [ + 2069, + 2905 + ], + [ + 2382, + 8320 + ], + [ + 2113, + 9593 + ], + [ + 267, + 9458 + ], + [ + 5155, + 8091 + ], + [ + 955, + 6826 + ], + [ + 1268, + 5071 + ], + [ + 170, + 9525 + ], + [ + 6030, + 8291 + ], + [ + 9951, + 10141 + ], + [ + 2291, + 11585 + ], + [ + 1635, + 9968 + ], + [ + 135, + 4054 + ], + [ + 7300, + 8266 + ], + [ + 5619, + 9888 + ], + [ + 1435, + 2740 + ], + [ + 1066, + 10979 + ], + [ + 2623, + 6847 + ], + [ + 3428, + 5554 + ], + [ + 8259, + 10823 + ], + [ + 4646, + 6874 + ], + [ + 1633, + 6108 + ], + [ + 532, + 4629 + ], + [ + 2390, + 7807 + ], + [ + 3303, + 9989 + ], + [ + 2209, + 5517 + ], + [ + 5626, + 9554 + ], + [ + 309, + 1359 + ], + [ + 405, + 8237 + ], + [ + 5783, + 7259 + ], + [ + 1736, + 6236 + ], + [ + 1171, + 10399 + ], + [ + 4785, + 11540 + ], + [ + 1483, + 5009 + ], + [ + 8078, + 8159 + ], + [ + 142, + 9705 + ], + [ + 2499, + 8100 + ], + [ + 3228, + 8475 + ], + [ + 10501, + 10557 + ], + [ + 1077, + 1288 + ], + [ + 4433, + 8055 + ], + [ + 3681, + 5976 + ], + [ + 4494, + 4544 + ], + [ + 380, + 8715 + ], + [ + 1939, + 3912 + ], + [ + 6228, + 10130 + ], + [ + 406, + 1268 + ], + [ + 2304, + 7982 + ], + [ + 9931, + 10562 + ], + [ + 967, + 2998 + ], + [ + 3771, + 5088 + ], + [ + 3948, + 10642 + ], + [ + 8404, + 9618 + ], + [ + 3858, + 7716 + ], + [ + 1640, + 11385 + ], + [ + 6776, + 10874 + ], + [ + 1270, + 6190 + ], + [ + 642, + 6621 + ], + [ + 1419, + 9696 + ], + [ + 4251, + 7418 + ], + [ + 8208, + 8925 + ], + [ + 4748, + 8224 + ], + [ + 3538, + 9431 + ], + [ + 5181, + 10735 + ], + [ + 5788, + 10181 + ], + [ + 334, + 5687 + ], + [ + 580, + 2710 + ], + [ + 3878, + 5335 + ], + [ + 5987, + 6634 + ], + [ + 2569, + 6536 + ], + [ + 3369, + 6397 + ], + [ + 416, + 4938 + ], + [ + 4958, + 9350 + ], + [ + 1935, + 8650 + ], + [ + 1596, + 2768 + ], + [ + 790, + 10252 + ], + [ + 5360, + 6886 + ], + [ + 1941, + 5432 + ], + [ + 4360, + 7711 + ], + [ + 5912, + 7399 + ], + [ + 2410, + 10606 + ], + [ + 7541, + 9751 + ], + [ + 2873, + 6166 + ], + [ + 6582, + 10577 + ], + [ + 8626, + 10727 + ], + [ + 187, + 1853 + ], + [ + 9400, + 10121 + ], + [ + 5566, + 10145 + ], + [ + 342, + 8557 + ], + [ + 1128, + 9466 + ], + [ + 464, + 10240 + ], + [ + 1398, + 11047 + ], + [ + 1734, + 4580 + ], + [ + 6248, + 9950 + ], + [ + 6339, + 9314 + ], + [ + 3380, + 3903 + ], + [ + 5031, + 9986 + ], + [ + 332, + 4836 + ], + [ + 2171, + 10970 + ], + [ + 8236, + 10168 + ], + [ + 803, + 4421 + ], + [ + 1575, + 9404 + ], + [ + 3349, + 7973 + ], + [ + 1611, + 2645 + ], + [ + 10191, + 11000 + ], + [ + 8389, + 10383 + ], + [ + 5213, + 6435 + ], + [ + 1978, + 7542 + ], + [ + 1233, + 7388 + ], + [ + 3724, + 10479 + ], + [ + 4653, + 10942 + ], + [ + 2977, + 9498 + ], + [ + 785, + 1556 + ], + [ + 1163, + 5114 + ], + [ + 2226, + 4611 + ], + [ + 5612, + 9335 + ], + [ + 1404, + 1793 + ], + [ + 1813, + 8414 + ], + [ + 4831, + 9524 + ], + [ + 4234, + 5104 + ], + [ + 5643, + 8648 + ], + [ + 9166, + 10425 + ], + [ + 10804, + 11385 + ], + [ + 4452, + 6495 + ], + [ + 45, + 5129 + ], + [ + 1721, + 3163 + ], + [ + 4367, + 8077 + ], + [ + 2185, + 11403 + ], + [ + 9561, + 10954 + ], + [ + 2235, + 11520 + ], + [ + 691, + 9441 + ], + [ + 187, + 1048 + ], + [ + 8282, + 10112 + ], + [ + 6291, + 6590 + ], + [ + 9706, + 10554 + ], + [ + 5695, + 11440 + ], + [ + 9427, + 11139 + ], + [ + 3336, + 3550 + ], + [ + 4948, + 10459 + ], + [ + 4480, + 8139 + ], + [ + 2264, + 2809 + ], + [ + 779, + 2091 + ], + [ + 2730, + 8466 + ], + [ + 1926, + 10361 + ], + [ + 6618, + 7924 + ], + [ + 2920, + 5557 + ], + [ + 4934, + 9248 + ], + [ + 3628, + 6583 + ], + [ + 4404, + 6050 + ], + [ + 1231, + 8789 + ], + [ + 5721, + 6595 + ], + [ + 1860, + 8960 + ], + [ + 9379, + 10317 + ], + [ + 5055, + 10706 + ], + [ + 1879, + 2594 + ], + [ + 2593, + 8353 + ], + [ + 540, + 1701 + ], + [ + 4402, + 8606 + ], + [ + 7734, + 10815 + ], + [ + 3271, + 8416 + ], + [ + 1228, + 11120 + ], + [ + 4903, + 10285 + ], + [ + 5144, + 6964 + ], + [ + 624, + 9693 + ], + [ + 6792, + 7114 + ], + [ + 7377, + 10019 + ], + [ + 7354, + 8315 + ], + [ + 6519, + 10897 + ], + [ + 3305, + 10629 + ], + [ + 186, + 3051 + ], + [ + 3668, + 8991 + ], + [ + 968, + 7224 + ], + [ + 1147, + 2271 + ], + [ + 3889, + 7647 + ], + [ + 5914, + 9999 + ], + [ + 7350, + 7792 + ], + [ + 5657, + 7899 + ], + [ + 4511, + 7401 + ], + [ + 844, + 8097 + ], + [ + 8891, + 9573 + ], + [ + 3607, + 7934 + ], + [ + 2943, + 8708 + ], + [ + 7399, + 7684 + ], + [ + 331, + 6788 + ], + [ + 6158, + 9578 + ], + [ + 1669, + 8210 + ], + [ + 960, + 2795 + ], + [ + 3847, + 10804 + ], + [ + 2541, + 8139 + ], + [ + 4089, + 10337 + ], + [ + 4992, + 6169 + ], + [ + 2070, + 5521 + ], + [ + 9628, + 10216 + ], + [ + 853, + 5557 + ], + [ + 10315, + 10365 + ], + [ + 632, + 3868 + ], + [ + 6881, + 7879 + ], + [ + 594, + 7548 + ], + [ + 1463, + 3796 + ], + [ + 5696, + 6672 + ], + [ + 2337, + 10187 + ], + [ + 4042, + 6707 + ], + [ + 4642, + 8392 + ], + [ + 318, + 4617 + ], + [ + 2209, + 4525 + ], + [ + 4939, + 7632 + ], + [ + 1171, + 6024 + ], + [ + 6096, + 10928 + ], + [ + 6182, + 9948 + ], + [ + 4248, + 6960 + ], + [ + 1985, + 5948 + ], + [ + 3666, + 4326 + ], + [ + 9359, + 10334 + ], + [ + 6530, + 10631 + ], + [ + 2418, + 5049 + ], + [ + 7120, + 7464 + ], + [ + 551, + 4037 + ], + [ + 179, + 2179 + ], + [ + 1457, + 2796 + ], + [ + 4246, + 10270 + ], + [ + 1701, + 9572 + ], + [ + 4526, + 6123 + ], + [ + 1045, + 7955 + ], + [ + 2475, + 2550 + ], + [ + 511, + 8021 + ], + [ + 7669, + 8810 + ], + [ + 3462, + 6374 + ], + [ + 6858, + 9534 + ], + [ + 3993, + 10174 + ], + [ + 1619, + 3504 + ], + [ + 7819, + 8754 + ], + [ + 1855, + 2468 + ], + [ + 226, + 10639 + ], + [ + 4106, + 4574 + ], + [ + 1867, + 9618 + ], + [ + 244, + 8966 + ], + [ + 7338, + 8831 + ], + [ + 8076, + 8568 + ], + [ + 5063, + 6304 + ], + [ + 739, + 2529 + ], + [ + 8364, + 8446 + ], + [ + 6992, + 11577 + ], + [ + 397, + 9181 + ], + [ + 2221, + 7113 + ], + [ + 1598, + 7888 + ], + [ + 10386, + 10500 + ], + [ + 2214, + 3690 + ], + [ + 1159, + 4054 + ], + [ + 3380, + 4066 + ], + [ + 2375, + 10963 + ], + [ + 753, + 3366 + ], + [ + 5959, + 10010 + ], + [ + 3156, + 4358 + ], + [ + 4403, + 10580 + ], + [ + 6576, + 8666 + ], + [ + 1626, + 6149 + ], + [ + 2557, + 4029 + ], + [ + 2345, + 5836 + ], + [ + 1872, + 3172 + ], + [ + 3527, + 6745 + ], + [ + 7574, + 7768 + ], + [ + 1534, + 7314 + ], + [ + 101, + 2622 + ], + [ + 3774, + 6622 + ], + [ + 410, + 9793 + ], + [ + 6879, + 9606 + ], + [ + 3515, + 8613 + ], + [ + 5736, + 8625 + ], + [ + 6751, + 10360 + ], + [ + 3143, + 6755 + ], + [ + 4485, + 5667 + ], + [ + 556, + 8837 + ], + [ + 5762, + 6813 + ], + [ + 9294, + 11362 + ], + [ + 4199, + 6212 + ], + [ + 8710, + 11311 + ], + [ + 429, + 3777 + ], + [ + 10296, + 10583 + ], + [ + 3570, + 8670 + ], + [ + 2569, + 4389 + ], + [ + 4475, + 4575 + ], + [ + 5311, + 11263 + ], + [ + 2785, + 11369 + ], + [ + 1326, + 5456 + ], + [ + 7549, + 8246 + ], + [ + 5121, + 8887 + ], + [ + 599, + 11543 + ], + [ + 4150, + 8198 + ], + [ + 3935, + 4072 + ], + [ + 1657, + 4280 + ], + [ + 5989, + 7916 + ], + [ + 1383, + 2957 + ], + [ + 5240, + 9518 + ], + [ + 2463, + 5841 + ], + [ + 8815, + 11485 + ], + [ + 3242, + 9743 + ], + [ + 1812, + 4568 + ], + [ + 2865, + 3377 + ], + [ + 5356, + 10632 + ], + [ + 2056, + 11344 + ], + [ + 5664, + 8533 + ], + [ + 1541, + 9932 + ], + [ + 3739, + 4133 + ], + [ + 2053, + 11046 + ], + [ + 470, + 2623 + ], + [ + 7317, + 8246 + ], + [ + 5851, + 7578 + ], + [ + 2854, + 5847 + ], + [ + 283, + 6180 + ], + [ + 2895, + 5848 + ], + [ + 4791, + 6100 + ], + [ + 2208, + 11334 + ], + [ + 8753, + 10957 + ], + [ + 1337, + 5591 + ], + [ + 834, + 7222 + ], + [ + 7152, + 7620 + ], + [ + 4196, + 8142 + ], + [ + 2508, + 8593 + ], + [ + 3974, + 9261 + ], + [ + 7709, + 8477 + ], + [ + 1338, + 9199 + ], + [ + 6690, + 8498 + ], + [ + 1642, + 9610 + ], + [ + 7500, + 7549 + ], + [ + 5623, + 5849 + ], + [ + 4752, + 8774 + ], + [ + 5457, + 10283 + ], + [ + 1234, + 11478 + ], + [ + 4472, + 9888 + ], + [ + 5767, + 8230 + ], + [ + 2573, + 9338 + ], + [ + 5013, + 9488 + ], + [ + 4772, + 7147 + ], + [ + 2719, + 9163 + ], + [ + 2313, + 8475 + ], + [ + 3126, + 11207 + ], + [ + 1660, + 4123 + ], + [ + 8695, + 9043 + ], + [ + 4361, + 8744 + ], + [ + 3891, + 6351 + ], + [ + 8311, + 9834 + ], + [ + 322, + 8336 + ], + [ + 4611, + 8892 + ], + [ + 492, + 6303 + ], + [ + 1890, + 5524 + ], + [ + 341, + 3101 + ], + [ + 458, + 3686 + ], + [ + 5258, + 9642 + ], + [ + 4697, + 4879 + ], + [ + 3718, + 10745 + ], + [ + 146, + 2633 + ], + [ + 2489, + 3574 + ], + [ + 3103, + 11381 + ], + [ + 930, + 6879 + ], + [ + 3127, + 9523 + ], + [ + 6676, + 10269 + ], + [ + 2595, + 4000 + ], + [ + 2099, + 6048 + ], + [ + 2432, + 5699 + ], + [ + 3397, + 8071 + ], + [ + 2628, + 3359 + ], + [ + 658, + 714 + ], + [ + 1375, + 9400 + ], + [ + 7204, + 9607 + ], + [ + 2586, + 3133 + ], + [ + 4306, + 7101 + ], + [ + 5297, + 8442 + ], + [ + 4617, + 8683 + ], + [ + 288, + 5318 + ], + [ + 6100, + 6322 + ], + [ + 4150, + 9971 + ], + [ + 9809, + 10733 + ], + [ + 3577, + 10109 + ], + [ + 2092, + 5227 + ], + [ + 870, + 11335 + ], + [ + 4426, + 9088 + ], + [ + 3961, + 10449 + ], + [ + 4890, + 7502 + ], + [ + 771, + 4159 + ], + [ + 3567, + 6388 + ], + [ + 7716, + 11071 + ], + [ + 7831, + 8577 + ], + [ + 614, + 9810 + ], + [ + 8048, + 10497 + ], + [ + 5212, + 11121 + ], + [ + 4752, + 7164 + ], + [ + 2999, + 3056 + ], + [ + 1355, + 7943 + ], + [ + 3036, + 6321 + ], + [ + 1076, + 8528 + ], + [ + 3182, + 5392 + ], + [ + 4400, + 6712 + ], + [ + 10463, + 11499 + ], + [ + 3221, + 9484 + ], + [ + 9661, + 10811 + ], + [ + 1901, + 8641 + ], + [ + 6603, + 11056 + ], + [ + 502, + 2779 + ], + [ + 5923, + 11297 + ], + [ + 314, + 9898 + ], + [ + 4483, + 5434 + ], + [ + 4644, + 6291 + ], + [ + 6359, + 7663 + ], + [ + 5268, + 6118 + ], + [ + 4198, + 5450 + ], + [ + 2308, + 9150 + ], + [ + 2296, + 7635 + ], + [ + 1922, + 9114 + ], + [ + 2672, + 10366 + ], + [ + 6686, + 8997 + ], + [ + 213, + 5278 + ], + [ + 8239, + 11539 + ], + [ + 1711, + 8113 + ], + [ + 80, + 9852 + ], + [ + 2007, + 4499 + ], + [ + 5069, + 11543 + ], + [ + 613, + 6151 + ], + [ + 4290, + 5389 + ], + [ + 11041, + 11304 + ], + [ + 1480, + 5736 + ], + [ + 4256, + 5778 + ], + [ + 7801, + 9034 + ], + [ + 886, + 8380 + ], + [ + 3291, + 6035 + ], + [ + 1388, + 9530 + ], + [ + 3628, + 9592 + ], + [ + 4342, + 8181 + ], + [ + 1997, + 4161 + ], + [ + 8935, + 9148 + ], + [ + 1966, + 8231 + ], + [ + 1278, + 4447 + ], + [ + 3024, + 7384 + ], + [ + 8564, + 10898 + ], + [ + 5976, + 9372 + ], + [ + 30, + 2918 + ], + [ + 5105, + 10045 + ], + [ + 1001, + 9242 + ], + [ + 4879, + 8012 + ], + [ + 5264, + 7823 + ], + [ + 3884, + 9181 + ], + [ + 6258, + 9435 + ], + [ + 6323, + 10584 + ], + [ + 3815, + 4880 + ], + [ + 4384, + 7252 + ], + [ + 5406, + 10158 + ], + [ + 800, + 8205 + ], + [ + 7121, + 11530 + ], + [ + 829, + 6691 + ], + [ + 7613, + 7828 + ], + [ + 2138, + 9627 + ], + [ + 5940, + 7813 + ], + [ + 3280, + 4721 + ], + [ + 6487, + 7982 + ], + [ + 569, + 8457 + ], + [ + 1730, + 8489 + ], + [ + 10188, + 10997 + ], + [ + 3778, + 5348 + ], + [ + 910, + 1553 + ], + [ + 2157, + 7775 + ], + [ + 233, + 5475 + ], + [ + 1121, + 5937 + ], + [ + 2461, + 8186 + ], + [ + 6609, + 9261 + ], + [ + 7010, + 10359 + ], + [ + 2462, + 11040 + ], + [ + 629, + 9612 + ], + [ + 2748, + 10845 + ], + [ + 1870, + 3931 + ], + [ + 595, + 6995 + ], + [ + 3476, + 11025 + ], + [ + 9078, + 11253 + ], + [ + 7032, + 8024 + ], + [ + 991, + 10378 + ], + [ + 2168, + 6779 + ], + [ + 4074, + 5467 + ], + [ + 5056, + 5564 + ], + [ + 262, + 3560 + ], + [ + 4131, + 9384 + ], + [ + 3219, + 5892 + ], + [ + 2190, + 5979 + ], + [ + 3306, + 8520 + ], + [ + 754, + 6651 + ], + [ + 8890, + 11552 + ], + [ + 3935, + 8691 + ], + [ + 9411, + 10500 + ], + [ + 7945, + 9832 + ], + [ + 7630, + 10760 + ], + [ + 321, + 6769 + ], + [ + 10622, + 10649 + ], + [ + 6664, + 8917 + ], + [ + 7008, + 8727 + ], + [ + 2588, + 2992 + ], + [ + 5850, + 5960 + ], + [ + 776, + 8103 + ], + [ + 2558, + 10697 + ], + [ + 8494, + 10047 + ], + [ + 4238, + 8850 + ], + [ + 1678, + 2956 + ], + [ + 5233, + 6900 + ], + [ + 866, + 11379 + ], + [ + 4627, + 11062 + ], + [ + 372, + 3674 + ], + [ + 1081, + 1919 + ], + [ + 869, + 4480 + ], + [ + 8799, + 11033 + ], + [ + 3627, + 9635 + ], + [ + 4413, + 10544 + ], + [ + 2104, + 8433 + ], + [ + 3907, + 6242 + ], + [ + 9447, + 9756 + ], + [ + 4588, + 8855 + ], + [ + 3058, + 10646 + ], + [ + 922, + 10907 + ], + [ + 5580, + 7388 + ], + [ + 3037, + 3353 + ], + [ + 10003, + 10388 + ], + [ + 3506, + 8527 + ], + [ + 7828, + 11475 + ], + [ + 2076, + 3352 + ], + [ + 478, + 1067 + ], + [ + 6577, + 8517 + ], + [ + 1042, + 3095 + ], + [ + 414, + 5778 + ], + [ + 2224, + 4004 + ], + [ + 572, + 6364 + ], + [ + 3190, + 9984 + ], + [ + 3180, + 9296 + ], + [ + 3894, + 7885 + ], + [ + 1189, + 5774 + ], + [ + 228, + 9937 + ], + [ + 715, + 10055 + ], + [ + 405, + 11327 + ], + [ + 5176, + 9375 + ], + [ + 532, + 11102 + ], + [ + 1087, + 8880 + ], + [ + 5667, + 6202 + ], + [ + 3549, + 7069 + ], + [ + 6566, + 7954 + ], + [ + 8436, + 9237 + ], + [ + 967, + 7243 + ], + [ + 3388, + 9595 + ], + [ + 3606, + 10986 + ], + [ + 1149, + 8977 + ], + [ + 3599, + 9815 + ], + [ + 7212, + 8102 + ], + [ + 5596, + 10873 + ], + [ + 9328, + 9818 + ], + [ + 1895, + 4071 + ], + [ + 7172, + 8703 + ], + [ + 5651, + 8328 + ], + [ + 7175, + 8220 + ], + [ + 669, + 6273 + ], + [ + 512, + 8541 + ], + [ + 4490, + 5263 + ], + [ + 7015, + 7938 + ], + [ + 3868, + 8892 + ], + [ + 5268, + 11192 + ], + [ + 4549, + 5843 + ], + [ + 6763, + 10346 + ], + [ + 202, + 10944 + ], + [ + 6725, + 7610 + ], + [ + 1315, + 9804 + ], + [ + 8505, + 10131 + ], + [ + 3118, + 6859 + ], + [ + 4986, + 11479 + ], + [ + 9442, + 10455 + ], + [ + 6605, + 6727 + ], + [ + 4019, + 6028 + ], + [ + 1243, + 5205 + ], + [ + 5542, + 6449 + ], + [ + 6159, + 11521 + ], + [ + 3511, + 9944 + ], + [ + 8425, + 10552 + ], + [ + 6090, + 7220 + ], + [ + 2482, + 3615 + ], + [ + 2389, + 3424 + ], + [ + 1339, + 1880 + ], + [ + 1301, + 5560 + ], + [ + 9650, + 11508 + ], + [ + 1789, + 8532 + ], + [ + 1703, + 3096 + ], + [ + 837, + 4113 + ], + [ + 266, + 914 + ], + [ + 773, + 2408 + ], + [ + 8018, + 8858 + ], + [ + 518, + 1889 + ], + [ + 6051, + 10648 + ], + [ + 2155, + 3378 + ], + [ + 3383, + 4632 + ], + [ + 823, + 5154 + ], + [ + 5463, + 10855 + ], + [ + 2383, + 9621 + ], + [ + 4491, + 7312 + ], + [ + 4217, + 8241 + ], + [ + 475, + 2192 + ], + [ + 1357, + 9225 + ], + [ + 975, + 6679 + ], + [ + 1811, + 6951 + ], + [ + 1322, + 10170 + ], + [ + 439, + 5164 + ], + [ + 2891, + 7583 + ], + [ + 1103, + 5144 + ], + [ + 9153, + 9547 + ], + [ + 10767, + 10867 + ], + [ + 6906, + 9068 + ], + [ + 5419, + 7523 + ], + [ + 23, + 7171 + ], + [ + 2175, + 4380 + ], + [ + 8532, + 10368 + ], + [ + 1125, + 10006 + ], + [ + 1157, + 8009 + ], + [ + 2730, + 2912 + ], + [ + 6628, + 9474 + ], + [ + 1645, + 10981 + ], + [ + 993, + 6854 + ], + [ + 4663, + 5675 + ], + [ + 1579, + 6951 + ], + [ + 211, + 402 + ], + [ + 773, + 8019 + ], + [ + 4725, + 9936 + ], + [ + 734, + 5812 + ], + [ + 4583, + 6096 + ], + [ + 8688, + 10507 + ], + [ + 4529, + 9243 + ], + [ + 8381, + 9044 + ], + [ + 786, + 9385 + ], + [ + 6300, + 7514 + ], + [ + 1780, + 3827 + ], + [ + 935, + 8727 + ], + [ + 6793, + 10830 + ], + [ + 1311, + 10704 + ], + [ + 1471, + 6455 + ], + [ + 2868, + 5074 + ], + [ + 8716, + 8741 + ], + [ + 1187, + 6696 + ], + [ + 6655, + 10896 + ], + [ + 5602, + 5671 + ], + [ + 650, + 2327 + ], + [ + 371, + 10082 + ], + [ + 3712, + 9371 + ], + [ + 4672, + 4983 + ], + [ + 4476, + 8077 + ], + [ + 36, + 10735 + ], + [ + 26, + 3631 + ], + [ + 1837, + 7717 + ], + [ + 6314, + 7570 + ], + [ + 1711, + 8544 + ], + [ + 527, + 10972 + ], + [ + 460, + 5586 + ], + [ + 4599, + 7329 + ], + [ + 10442, + 10652 + ], + [ + 7587, + 11226 + ], + [ + 961, + 7265 + ], + [ + 4961, + 7718 + ], + [ + 603, + 2861 + ], + [ + 9040, + 10908 + ], + [ + 5864, + 6960 + ], + [ + 1478, + 2307 + ], + [ + 1129, + 2153 + ], + [ + 2061, + 8549 + ], + [ + 2899, + 3232 + ], + [ + 3184, + 5845 + ], + [ + 387, + 4145 + ], + [ + 528, + 10042 + ], + [ + 5606, + 8772 + ], + [ + 10272, + 11530 + ], + [ + 1838, + 3000 + ], + [ + 6915, + 10954 + ], + [ + 8679, + 8835 + ], + [ + 8348, + 9984 + ], + [ + 1185, + 11480 + ], + [ + 5509, + 8839 + ], + [ + 246, + 3913 + ], + [ + 810, + 5941 + ], + [ + 8033, + 8660 + ], + [ + 4170, + 10198 + ], + [ + 6663, + 7700 + ], + [ + 244, + 834 + ], + [ + 1274, + 4355 + ], + [ + 4352, + 4762 + ], + [ + 1838, + 6383 + ], + [ + 843, + 5300 + ], + [ + 955, + 5541 + ], + [ + 4542, + 9023 + ], + [ + 7152, + 7864 + ], + [ + 5593, + 10415 + ], + [ + 9526, + 10370 + ], + [ + 2293, + 6963 + ], + [ + 3136, + 8406 + ], + [ + 491, + 4094 + ], + [ + 6678, + 7227 + ], + [ + 1943, + 6584 + ], + [ + 2385, + 3519 + ], + [ + 8510, + 9938 + ], + [ + 8322, + 10641 + ], + [ + 1942, + 2949 + ], + [ + 732, + 10572 + ], + [ + 140, + 6496 + ], + [ + 859, + 6183 + ], + [ + 3660, + 8002 + ], + [ + 2476, + 6266 + ], + [ + 4212, + 8515 + ], + [ + 4305, + 5296 + ], + [ + 4335, + 6636 + ], + [ + 6574, + 11391 + ], + [ + 503, + 4454 + ], + [ + 648, + 1425 + ], + [ + 3090, + 8761 + ], + [ + 8491, + 8733 + ], + [ + 8628, + 11448 + ], + [ + 213, + 7132 + ], + [ + 5968, + 8356 + ], + [ + 5324, + 8254 + ], + [ + 2614, + 5799 + ], + [ + 4639, + 8151 + ], + [ + 155, + 6373 + ], + [ + 10177, + 10838 + ], + [ + 2949, + 5523 + ], + [ + 5715, + 11293 + ], + [ + 4199, + 11262 + ], + [ + 1016, + 6143 + ], + [ + 1041, + 7139 + ], + [ + 9845, + 11038 + ], + [ + 10574, + 10659 + ], + [ + 3690, + 5908 + ], + [ + 160, + 7097 + ], + [ + 1004, + 4978 + ], + [ + 2786, + 3408 + ], + [ + 8013, + 8677 + ], + [ + 412, + 902 + ], + [ + 1279, + 6903 + ], + [ + 1719, + 7175 + ], + [ + 11421, + 11470 + ], + [ + 2796, + 3372 + ], + [ + 1968, + 7879 + ], + [ + 4733, + 10041 + ], + [ + 868, + 10752 + ], + [ + 2642, + 2905 + ], + [ + 6186, + 9723 + ], + [ + 7412, + 10150 + ], + [ + 3916, + 6786 + ], + [ + 55, + 9151 + ], + [ + 1021, + 8715 + ], + [ + 3039, + 9896 + ], + [ + 1368, + 6544 + ], + [ + 2484, + 9085 + ], + [ + 3136, + 6796 + ], + [ + 7618, + 11157 + ], + [ + 4347, + 6191 + ], + [ + 8664, + 8795 + ], + [ + 4315, + 11571 + ], + [ + 1698, + 5143 + ], + [ + 4120, + 10349 + ], + [ + 6274, + 9139 + ], + [ + 4366, + 7372 + ], + [ + 947, + 6672 + ], + [ + 1256, + 7427 + ], + [ + 8534, + 9853 + ], + [ + 2384, + 11483 + ], + [ + 101, + 9095 + ], + [ + 3776, + 7506 + ], + [ + 6971, + 9252 + ], + [ + 5885, + 8805 + ], + [ + 5733, + 10663 + ], + [ + 346, + 1729 + ], + [ + 60, + 5307 + ], + [ + 7697, + 9329 + ], + [ + 6006, + 10263 + ], + [ + 6606, + 7784 + ], + [ + 2448, + 6021 + ], + [ + 7650, + 8759 + ], + [ + 2576, + 4486 + ], + [ + 4666, + 11397 + ], + [ + 554, + 5815 + ], + [ + 2054, + 5313 + ], + [ + 1510, + 3937 + ], + [ + 7965, + 11214 + ], + [ + 6430, + 8497 + ], + [ + 1669, + 8885 + ], + [ + 7646, + 8236 + ], + [ + 4139, + 11099 + ], + [ + 526, + 7150 + ], + [ + 8516, + 11502 + ], + [ + 2535, + 10497 + ], + [ + 3440, + 6402 + ], + [ + 5876, + 10540 + ], + [ + 4216, + 6623 + ], + [ + 8228, + 8591 + ], + [ + 5358, + 7352 + ], + [ + 6915, + 7384 + ], + [ + 779, + 7222 + ], + [ + 479, + 6930 + ], + [ + 2308, + 5206 + ], + [ + 560, + 1442 + ], + [ + 1396, + 5878 + ], + [ + 783, + 1679 + ], + [ + 7725, + 9818 + ], + [ + 6813, + 10490 + ], + [ + 3513, + 11202 + ], + [ + 435, + 4379 + ], + [ + 6231, + 7856 + ], + [ + 3573, + 4837 + ], + [ + 2241, + 7367 + ], + [ + 488, + 3259 + ], + [ + 2731, + 7002 + ], + [ + 1143, + 5405 + ], + [ + 8142, + 8416 + ], + [ + 6619, + 7214 + ], + [ + 6839, + 8678 + ], + [ + 4447, + 11228 + ], + [ + 4139, + 6911 + ], + [ + 4416, + 9663 + ], + [ + 4970, + 6839 + ], + [ + 853, + 5077 + ], + [ + 2265, + 8892 + ], + [ + 2552, + 8168 + ], + [ + 551, + 4712 + ], + [ + 2416, + 2645 + ], + [ + 10223, + 10296 + ], + [ + 4428, + 9673 + ], + [ + 8722, + 10573 + ], + [ + 7698, + 11004 + ], + [ + 5951, + 10094 + ], + [ + 5736, + 6722 + ], + [ + 264, + 11448 + ], + [ + 4147, + 7152 + ], + [ + 10179, + 11128 + ], + [ + 253, + 709 + ], + [ + 8475, + 11046 + ], + [ + 3795, + 5946 + ], + [ + 4803, + 5736 + ], + [ + 2981, + 3743 + ], + [ + 5976, + 8811 + ], + [ + 7354, + 7380 + ], + [ + 1437, + 1664 + ], + [ + 530, + 9096 + ], + [ + 9644, + 10969 + ], + [ + 1983, + 8024 + ], + [ + 3294, + 5371 + ], + [ + 6095, + 7190 + ], + [ + 3638, + 9345 + ], + [ + 3610, + 7297 + ], + [ + 6148, + 10988 + ], + [ + 1542, + 8281 + ], + [ + 4107, + 8103 + ], + [ + 1664, + 6931 + ], + [ + 43, + 2188 + ], + [ + 1142, + 7758 + ], + [ + 6147, + 9982 + ], + [ + 1223, + 2270 + ], + [ + 1324, + 3076 + ], + [ + 45, + 8650 + ], + [ + 322, + 7238 + ], + [ + 1287, + 7358 + ], + [ + 1688, + 8456 + ], + [ + 8382, + 10831 + ], + [ + 5307, + 9941 + ], + [ + 2365, + 7163 + ], + [ + 3650, + 5541 + ], + [ + 2865, + 8240 + ], + [ + 9153, + 9173 + ], + [ + 1588, + 10854 + ], + [ + 4224, + 4500 + ], + [ + 2864, + 11398 + ], + [ + 5763, + 10342 + ], + [ + 338, + 5088 + ], + [ + 2661, + 3899 + ], + [ + 1761, + 1922 + ], + [ + 2392, + 5926 + ], + [ + 300, + 2352 + ], + [ + 709, + 6721 + ], + [ + 4382, + 9223 + ], + [ + 1137, + 9642 + ], + [ + 1856, + 2913 + ], + [ + 2079, + 11064 + ], + [ + 4156, + 7190 + ], + [ + 5460, + 9028 + ], + [ + 8579, + 10190 + ], + [ + 3400, + 7621 + ], + [ + 1297, + 11028 + ], + [ + 8105, + 10307 + ], + [ + 322, + 6433 + ], + [ + 5272, + 6698 + ], + [ + 7844, + 9219 + ], + [ + 137, + 10817 + ], + [ + 8375, + 8855 + ], + [ + 221, + 9010 + ], + [ + 3521, + 9052 + ], + [ + 3682, + 7657 + ], + [ + 2025, + 3257 + ], + [ + 4798, + 10198 + ], + [ + 3024, + 5213 + ], + [ + 7155, + 8593 + ], + [ + 7165, + 9281 + ], + [ + 8422, + 11303 + ], + [ + 8304, + 10493 + ], + [ + 8242, + 9615 + ], + [ + 4597, + 6128 + ], + [ + 2200, + 8334 + ], + [ + 4559, + 9808 + ], + [ + 987, + 5860 + ], + [ + 2385, + 7333 + ], + [ + 1858, + 7816 + ], + [ + 5306, + 7756 + ], + [ + 4806, + 6652 + ], + [ + 4990, + 9213 + ], + [ + 692, + 4407 + ], + [ + 5265, + 11138 + ], + [ + 2269, + 5845 + ], + [ + 7807, + 8532 + ], + [ + 6626, + 10477 + ], + [ + 6476, + 7500 + ], + [ + 7594, + 10868 + ], + [ + 875, + 10126 + ], + [ + 1046, + 1902 + ], + [ + 156, + 4777 + ], + [ + 7618, + 9010 + ], + [ + 4446, + 8187 + ], + [ + 1775, + 11322 + ], + [ + 9547, + 10873 + ], + [ + 576, + 2138 + ], + [ + 3858, + 11400 + ], + [ + 10226, + 10407 + ], + [ + 4567, + 9645 + ], + [ + 243, + 10788 + ], + [ + 4436, + 10882 + ], + [ + 4004, + 4055 + ], + [ + 9069, + 11248 + ], + [ + 1240, + 11163 + ], + [ + 2875, + 6944 + ], + [ + 3590, + 9141 + ], + [ + 792, + 10249 + ], + [ + 2181, + 2591 + ], + [ + 422, + 5054 + ], + [ + 4709, + 8947 + ], + [ + 5944, + 7238 + ], + [ + 376, + 1676 + ], + [ + 136, + 5599 + ], + [ + 7759, + 11443 + ], + [ + 9239, + 9565 + ], + [ + 2797, + 7411 + ], + [ + 7093, + 9138 + ], + [ + 4547, + 4805 + ], + [ + 3487, + 4825 + ], + [ + 1804, + 6374 + ], + [ + 2143, + 10004 + ], + [ + 7932, + 10058 + ], + [ + 1301, + 4999 + ], + [ + 6867, + 9734 + ], + [ + 8023, + 9422 + ], + [ + 8701, + 9108 + ], + [ + 678, + 5774 + ], + [ + 3288, + 4615 + ], + [ + 7080, + 10781 + ], + [ + 6093, + 9559 + ], + [ + 3884, + 5400 + ], + [ + 4410, + 11108 + ], + [ + 5367, + 7203 + ], + [ + 6776, + 7337 + ], + [ + 5220, + 10159 + ], + [ + 5153, + 8937 + ], + [ + 7486, + 9190 + ], + [ + 1412, + 4988 + ], + [ + 858, + 1396 + ], + [ + 7012, + 8553 + ], + [ + 1133, + 3321 + ], + [ + 3557, + 5944 + ], + [ + 6759, + 8861 + ], + [ + 7920, + 8893 + ], + [ + 4986, + 6730 + ], + [ + 2868, + 8351 + ], + [ + 5703, + 9754 + ], + [ + 2778, + 9589 + ], + [ + 9648, + 9746 + ], + [ + 2559, + 10225 + ], + [ + 6604, + 8169 + ], + [ + 4429, + 9256 + ], + [ + 444, + 9111 + ], + [ + 2213, + 3172 + ], + [ + 2405, + 9758 + ], + [ + 9843, + 10187 + ], + [ + 1559, + 2382 + ], + [ + 1115, + 1210 + ], + [ + 3267, + 8999 + ], + [ + 9001, + 9346 + ], + [ + 281, + 5148 + ], + [ + 277, + 7658 + ], + [ + 554, + 6246 + ], + [ + 3350, + 7721 + ], + [ + 6937, + 7039 + ], + [ + 1620, + 9424 + ], + [ + 3948, + 9333 + ], + [ + 2458, + 4107 + ], + [ + 584, + 8340 + ], + [ + 1489, + 4245 + ], + [ + 4531, + 4995 + ], + [ + 1642, + 4487 + ], + [ + 7500, + 8842 + ], + [ + 3789, + 8522 + ], + [ + 1630, + 2972 + ], + [ + 4220, + 10960 + ], + [ + 4318, + 7331 + ], + [ + 1947, + 2090 + ], + [ + 11, + 5445 + ], + [ + 8665, + 11275 + ], + [ + 1074, + 1936 + ], + [ + 10354, + 11426 + ], + [ + 5208, + 7839 + ], + [ + 84, + 3449 + ], + [ + 8394, + 10223 + ], + [ + 2314, + 2823 + ], + [ + 2322, + 6848 + ], + [ + 2559, + 6037 + ], + [ + 11086, + 11348 + ], + [ + 9961, + 10973 + ], + [ + 67, + 11389 + ], + [ + 4888, + 9554 + ], + [ + 4743, + 6167 + ], + [ + 3838, + 3846 + ], + [ + 2703, + 2783 + ], + [ + 4512, + 10206 + ], + [ + 972, + 4261 + ], + [ + 5168, + 8790 + ], + [ + 1425, + 2516 + ], + [ + 2957, + 6433 + ], + [ + 3480, + 6208 + ], + [ + 6969, + 8401 + ], + [ + 641, + 8069 + ], + [ + 5909, + 9175 + ], + [ + 421, + 5851 + ], + [ + 5537, + 7317 + ], + [ + 3011, + 6669 + ], + [ + 9048, + 10989 + ], + [ + 545, + 10990 + ], + [ + 3785, + 3811 + ], + [ + 2499, + 8214 + ], + [ + 9381, + 10640 + ], + [ + 4214, + 5422 + ], + [ + 4193, + 4545 + ], + [ + 2383, + 4067 + ], + [ + 6612, + 10988 + ], + [ + 377, + 5929 + ], + [ + 5799, + 10885 + ], + [ + 3686, + 6434 + ], + [ + 484, + 3517 + ], + [ + 8505, + 10188 + ], + [ + 2177, + 2686 + ], + [ + 6175, + 7200 + ], + [ + 4585, + 11192 + ], + [ + 566, + 5801 + ], + [ + 2863, + 6397 + ], + [ + 11051, + 11488 + ], + [ + 5170, + 7681 + ], + [ + 445, + 7726 + ], + [ + 3084, + 11469 + ], + [ + 283, + 2480 + ], + [ + 434, + 2649 + ], + [ + 8431, + 11178 + ], + [ + 3978, + 8713 + ], + [ + 1765, + 7064 + ], + [ + 2304, + 11479 + ], + [ + 7712, + 8458 + ], + [ + 6991, + 8698 + ], + [ + 1925, + 8450 + ], + [ + 1452, + 5786 + ], + [ + 6035, + 6789 + ], + [ + 2454, + 11423 + ], + [ + 4345, + 10577 + ], + [ + 3445, + 8600 + ], + [ + 3380, + 8205 + ], + [ + 3945, + 7425 + ], + [ + 3152, + 5345 + ], + [ + 3033, + 8097 + ], + [ + 7699, + 10855 + ], + [ + 3155, + 9026 + ], + [ + 8452, + 8618 + ], + [ + 4370, + 9294 + ], + [ + 447, + 6617 + ], + [ + 4619, + 5834 + ], + [ + 4395, + 11044 + ], + [ + 5482, + 7929 + ], + [ + 3312, + 9360 + ], + [ + 6191, + 6928 + ], + [ + 167, + 6977 + ], + [ + 41, + 8558 + ], + [ + 1412, + 5956 + ], + [ + 7159, + 7319 + ], + [ + 3456, + 6106 + ], + [ + 3110, + 5469 + ], + [ + 8722, + 10549 + ], + [ + 1783, + 8343 + ], + [ + 2306, + 8118 + ], + [ + 3959, + 10110 + ], + [ + 10586, + 11263 + ], + [ + 1154, + 8549 + ], + [ + 3671, + 7199 + ], + [ + 4779, + 9879 + ], + [ + 2581, + 9262 + ], + [ + 2040, + 11567 + ], + [ + 264, + 9919 + ], + [ + 6707, + 11517 + ], + [ + 2574, + 9222 + ], + [ + 6834, + 10538 + ], + [ + 1603, + 2117 + ], + [ + 1221, + 5233 + ], + [ + 949, + 7743 + ], + [ + 2602, + 4073 + ], + [ + 1886, + 8067 + ], + [ + 1034, + 3128 + ], + [ + 1404, + 1907 + ], + [ + 3895, + 4998 + ], + [ + 282, + 1049 + ], + [ + 1498, + 7204 + ], + [ + 9846, + 10298 + ], + [ + 281, + 7994 + ], + [ + 749, + 3144 + ], + [ + 2096, + 2400 + ], + [ + 2299, + 9175 + ], + [ + 3558, + 5578 + ], + [ + 6753, + 7324 + ], + [ + 4074, + 10598 + ], + [ + 343, + 8091 + ], + [ + 3664, + 6004 + ], + [ + 4011, + 9495 + ], + [ + 931, + 8261 + ], + [ + 4539, + 5450 + ], + [ + 236, + 7470 + ], + [ + 1340, + 6968 + ], + [ + 6534, + 9845 + ], + [ + 2606, + 6070 + ], + [ + 6121, + 7232 + ], + [ + 1432, + 9940 + ], + [ + 3251, + 7528 + ], + [ + 2946, + 6892 + ], + [ + 4131, + 11482 + ], + [ + 5091, + 9346 + ], + [ + 3971, + 10069 + ], + [ + 1514, + 5054 + ], + [ + 7369, + 9892 + ], + [ + 3664, + 6354 + ], + [ + 1420, + 4638 + ], + [ + 2538, + 8760 + ], + [ + 5027, + 8772 + ], + [ + 1634, + 7041 + ], + [ + 796, + 5942 + ], + [ + 4464, + 10352 + ], + [ + 5949, + 8818 + ], + [ + 2351, + 5901 + ], + [ + 2781, + 11147 + ], + [ + 3994, + 4953 + ], + [ + 384, + 6937 + ], + [ + 4119, + 10317 + ], + [ + 1696, + 7138 + ], + [ + 992, + 8513 + ], + [ + 4424, + 7920 + ], + [ + 4753, + 6698 + ], + [ + 5234, + 6971 + ], + [ + 4322, + 9895 + ], + [ + 225, + 3093 + ], + [ + 7004, + 8050 + ], + [ + 939, + 1682 + ], + [ + 4533, + 7863 + ], + [ + 4660, + 9136 + ], + [ + 2198, + 4531 + ], + [ + 7930, + 10467 + ], + [ + 1882, + 5988 + ], + [ + 4848, + 6154 + ], + [ + 2045, + 6918 + ], + [ + 8767, + 11341 + ], + [ + 5565, + 9178 + ], + [ + 1952, + 4475 + ], + [ + 4978, + 5446 + ], + [ + 6965, + 11478 + ], + [ + 2419, + 6570 + ], + [ + 1129, + 4438 + ], + [ + 387, + 3047 + ], + [ + 540, + 4043 + ], + [ + 75, + 1994 + ], + [ + 9665, + 10212 + ], + [ + 10907, + 11172 + ], + [ + 1902, + 3607 + ], + [ + 4496, + 8331 + ], + [ + 6662, + 10164 + ], + [ + 3274, + 3859 + ], + [ + 8659, + 10468 + ], + [ + 7475, + 8732 + ], + [ + 7136, + 9266 + ], + [ + 7237, + 9318 + ], + [ + 1208, + 2637 + ], + [ + 1811, + 4593 + ], + [ + 3853, + 10332 + ], + [ + 274, + 5213 + ], + [ + 4914, + 6750 + ], + [ + 805, + 11265 + ], + [ + 8090, + 8446 + ], + [ + 2952, + 8130 + ], + [ + 5813, + 10754 + ], + [ + 1608, + 2729 + ], + [ + 4507, + 5837 + ], + [ + 6652, + 8291 + ], + [ + 9174, + 11449 + ], + [ + 7643, + 10386 + ], + [ + 1369, + 10260 + ], + [ + 6677, + 10041 + ], + [ + 7269, + 7701 + ], + [ + 10512, + 10619 + ], + [ + 3038, + 4871 + ], + [ + 2733, + 10651 + ], + [ + 8700, + 9314 + ], + [ + 4159, + 7756 + ], + [ + 7168, + 10278 + ], + [ + 296, + 2878 + ], + [ + 4680, + 6704 + ], + [ + 46, + 1949 + ], + [ + 719, + 5455 + ], + [ + 8290, + 10355 + ], + [ + 6787, + 7553 + ], + [ + 7752, + 10679 + ], + [ + 10276, + 10500 + ], + [ + 2614, + 11117 + ], + [ + 2583, + 9552 + ], + [ + 2125, + 7920 + ], + [ + 5084, + 11079 + ], + [ + 7125, + 7548 + ], + [ + 1679, + 3669 + ], + [ + 9748, + 11512 + ], + [ + 374, + 8022 + ], + [ + 5221, + 6654 + ], + [ + 2738, + 3424 + ], + [ + 3328, + 6673 + ], + [ + 9212, + 9997 + ], + [ + 2144, + 9101 + ], + [ + 3517, + 7326 + ], + [ + 3388, + 4472 + ], + [ + 5625, + 7269 + ], + [ + 1860, + 2926 + ], + [ + 3297, + 8491 + ], + [ + 2552, + 3419 + ], + [ + 2330, + 5292 + ], + [ + 675, + 1719 + ], + [ + 293, + 5589 + ], + [ + 5468, + 10668 + ], + [ + 2572, + 4825 + ], + [ + 9015, + 9833 + ], + [ + 1906, + 2520 + ], + [ + 8118, + 11537 + ], + [ + 6452, + 10057 + ], + [ + 1137, + 6853 + ], + [ + 2718, + 8033 + ], + [ + 6298, + 9590 + ], + [ + 7387, + 8056 + ], + [ + 1015, + 10805 + ], + [ + 2490, + 8583 + ], + [ + 3153, + 10590 + ], + [ + 619, + 3665 + ], + [ + 567, + 3475 + ], + [ + 2492, + 8629 + ], + [ + 5701, + 6301 + ], + [ + 3648, + 8317 + ], + [ + 1566, + 5431 + ], + [ + 752, + 8890 + ], + [ + 1812, + 8870 + ], + [ + 3928, + 10586 + ], + [ + 5079, + 9930 + ], + [ + 2923, + 4651 + ], + [ + 1588, + 10293 + ], + [ + 2452, + 6197 + ], + [ + 4317, + 7136 + ], + [ + 368, + 2484 + ], + [ + 3081, + 9374 + ], + [ + 6462, + 7338 + ], + [ + 4228, + 11228 + ], + [ + 4128, + 7614 + ], + [ + 5067, + 8765 + ], + [ + 1149, + 6432 + ], + [ + 4559, + 10052 + ], + [ + 2759, + 10262 + ], + [ + 6357, + 6763 + ], + [ + 4125, + 7316 + ], + [ + 2530, + 3794 + ], + [ + 3336, + 5355 + ], + [ + 823, + 3414 + ], + [ + 7318, + 9366 + ], + [ + 6858, + 11071 + ], + [ + 1228, + 11047 + ], + [ + 3931, + 10833 + ], + [ + 2907, + 6346 + ], + [ + 5641, + 7697 + ], + [ + 2905, + 9683 + ], + [ + 244, + 3737 + ], + [ + 3306, + 10781 + ], + [ + 4983, + 9417 + ], + [ + 9089, + 10266 + ], + [ + 254, + 1392 + ], + [ + 4512, + 6799 + ], + [ + 837, + 1218 + ], + [ + 2368, + 3035 + ], + [ + 111, + 1114 + ], + [ + 3646, + 10068 + ], + [ + 7094, + 10008 + ], + [ + 526, + 9435 + ], + [ + 7393, + 10075 + ], + [ + 5882, + 10388 + ], + [ + 3356, + 10494 + ], + [ + 1398, + 2948 + ], + [ + 9885, + 10358 + ], + [ + 11, + 7299 + ], + [ + 3813, + 7737 + ], + [ + 4682, + 8149 + ], + [ + 1855, + 4355 + ], + [ + 5837, + 9864 + ], + [ + 691, + 10441 + ], + [ + 5871, + 9448 + ], + [ + 2698, + 11433 + ], + [ + 485, + 9784 + ], + [ + 886, + 7876 + ], + [ + 6605, + 9443 + ], + [ + 1001, + 8388 + ], + [ + 1350, + 6290 + ], + [ + 6769, + 7565 + ], + [ + 5267, + 11404 + ], + [ + 1256, + 5874 + ], + [ + 6385, + 10608 + ], + [ + 2622, + 2928 + ], + [ + 1340, + 4821 + ], + [ + 5286, + 8421 + ], + [ + 4389, + 10125 + ], + [ + 339, + 3169 + ], + [ + 3234, + 4623 + ], + [ + 1204, + 1927 + ], + [ + 6100, + 7591 + ], + [ + 1430, + 8097 + ], + [ + 3844, + 9278 + ], + [ + 4568, + 9309 + ], + [ + 640, + 9698 + ], + [ + 6839, + 7930 + ], + [ + 11507, + 11515 + ], + [ + 5815, + 8361 + ], + [ + 5166, + 10167 + ], + [ + 9020, + 10795 + ], + [ + 6095, + 10630 + ], + [ + 8304, + 9127 + ], + [ + 4816, + 9788 + ], + [ + 5561, + 10696 + ], + [ + 6086, + 6380 + ], + [ + 1266, + 9571 + ], + [ + 1698, + 5818 + ], + [ + 760, + 7521 + ], + [ + 3964, + 4849 + ], + [ + 5113, + 9782 + ], + [ + 794, + 6351 + ], + [ + 3934, + 8390 + ], + [ + 4185, + 5757 + ], + [ + 2354, + 10818 + ], + [ + 4023, + 4675 + ], + [ + 3862, + 10207 + ], + [ + 5512, + 6266 + ], + [ + 4669, + 4823 + ], + [ + 9218, + 11160 + ], + [ + 5957, + 11046 + ], + [ + 1434, + 3678 + ], + [ + 4171, + 10962 + ], + [ + 4106, + 4151 + ], + [ + 2650, + 4171 + ], + [ + 154, + 5617 + ], + [ + 3803, + 9977 + ], + [ + 3755, + 5799 + ], + [ + 1086, + 5597 + ], + [ + 7679, + 7920 + ], + [ + 2076, + 3303 + ], + [ + 4593, + 6117 + ], + [ + 7055, + 9224 + ], + [ + 1107, + 3441 + ], + [ + 3537, + 7010 + ], + [ + 5156, + 8674 + ], + [ + 385, + 1958 + ], + [ + 1876, + 10038 + ], + [ + 952, + 3503 + ], + [ + 3871, + 9515 + ], + [ + 5834, + 10989 + ], + [ + 4836, + 6225 + ], + [ + 5338, + 11539 + ], + [ + 918, + 1640 + ], + [ + 8383, + 9554 + ], + [ + 1284, + 9345 + ], + [ + 4310, + 10316 + ], + [ + 263, + 2877 + ], + [ + 5201, + 8043 + ], + [ + 2959, + 7154 + ], + [ + 820, + 7898 + ], + [ + 3996, + 5430 + ], + [ + 6107, + 6802 + ], + [ + 2025, + 9730 + ], + [ + 2304, + 2729 + ], + [ + 3423, + 8951 + ], + [ + 3982, + 10635 + ], + [ + 5045, + 10132 + ], + [ + 1492, + 3982 + ], + [ + 1106, + 6198 + ], + [ + 398, + 8555 + ], + [ + 4433, + 8063 + ], + [ + 2263, + 2324 + ], + [ + 731, + 4042 + ], + [ + 1101, + 2821 + ], + [ + 889, + 4628 + ], + [ + 2006, + 5142 + ], + [ + 3029, + 5240 + ], + [ + 2280, + 3432 + ], + [ + 6478, + 8034 + ], + [ + 1748, + 9987 + ], + [ + 8998, + 10365 + ], + [ + 2527, + 3309 + ], + [ + 5980, + 10009 + ], + [ + 5388, + 10097 + ], + [ + 319, + 6168 + ], + [ + 4792, + 8531 + ], + [ + 2774, + 10733 + ], + [ + 343, + 3529 + ], + [ + 6468, + 9948 + ], + [ + 8462, + 10735 + ], + [ + 3825, + 8715 + ], + [ + 3209, + 4245 + ], + [ + 2116, + 8289 + ], + [ + 8150, + 8928 + ], + [ + 3045, + 9506 + ], + [ + 3580, + 5878 + ], + [ + 3941, + 9829 + ], + [ + 8342, + 9098 + ], + [ + 1926, + 5913 + ], + [ + 6303, + 8568 + ], + [ + 3228, + 7678 + ], + [ + 7900, + 11382 + ], + [ + 4094, + 7038 + ], + [ + 289, + 6302 + ], + [ + 4800, + 5739 + ], + [ + 1885, + 6262 + ], + [ + 295, + 10254 + ], + [ + 3709, + 4194 + ], + [ + 7485, + 9827 + ], + [ + 6, + 2981 + ], + [ + 2530, + 2802 + ], + [ + 4936, + 8229 + ], + [ + 2837, + 7648 + ], + [ + 2436, + 6550 + ], + [ + 1123, + 9130 + ], + [ + 474, + 2268 + ], + [ + 1499, + 5445 + ], + [ + 6129, + 6294 + ], + [ + 2992, + 7936 + ], + [ + 6753, + 8373 + ], + [ + 10183, + 11117 + ], + [ + 1907, + 10343 + ], + [ + 1721, + 7709 + ], + [ + 10673, + 10752 + ], + [ + 4319, + 8445 + ], + [ + 7587, + 8949 + ], + [ + 3505, + 9625 + ], + [ + 2794, + 10553 + ], + [ + 7121, + 10839 + ], + [ + 3630, + 8573 + ], + [ + 6868, + 6983 + ], + [ + 457, + 10558 + ], + [ + 2038, + 10984 + ], + [ + 516, + 1339 + ], + [ + 4839, + 7141 + ], + [ + 2067, + 10224 + ], + [ + 8634, + 10572 + ], + [ + 2815, + 11026 + ], + [ + 3278, + 6586 + ], + [ + 1685, + 3891 + ], + [ + 2880, + 9923 + ], + [ + 7768, + 11562 + ], + [ + 8573, + 10269 + ], + [ + 2275, + 10523 + ], + [ + 1093, + 3198 + ], + [ + 928, + 5605 + ], + [ + 4267, + 10483 + ], + [ + 4699, + 10894 + ], + [ + 6256, + 6762 + ], + [ + 2056, + 9661 + ], + [ + 2868, + 5375 + ], + [ + 5010, + 8312 + ], + [ + 4803, + 11217 + ], + [ + 5414, + 6675 + ], + [ + 3038, + 3342 + ], + [ + 278, + 770 + ], + [ + 6012, + 7533 + ], + [ + 7565, + 10829 + ], + [ + 934, + 5770 + ], + [ + 3231, + 6366 + ], + [ + 4313, + 10077 + ], + [ + 1790, + 7448 + ], + [ + 7953, + 10187 + ], + [ + 3913, + 6171 + ], + [ + 4873, + 8199 + ], + [ + 4842, + 6634 + ], + [ + 919, + 3957 + ], + [ + 3575, + 9559 + ], + [ + 1633, + 2546 + ], + [ + 7747, + 9530 + ], + [ + 7458, + 9427 + ], + [ + 1446, + 3851 + ], + [ + 1506, + 11072 + ], + [ + 5556, + 9360 + ], + [ + 9040, + 11209 + ], + [ + 10373, + 11533 + ], + [ + 581, + 4312 + ], + [ + 2539, + 5442 + ], + [ + 4994, + 6624 + ], + [ + 3000, + 4339 + ], + [ + 1601, + 4893 + ], + [ + 3953, + 5196 + ], + [ + 3462, + 8342 + ], + [ + 3935, + 8000 + ], + [ + 3493, + 7655 + ], + [ + 633, + 1469 + ], + [ + 1911, + 9256 + ], + [ + 4983, + 9848 + ], + [ + 3152, + 10745 + ], + [ + 8343, + 9187 + ], + [ + 5822, + 9637 + ], + [ + 3169, + 7716 + ], + [ + 1369, + 7926 + ], + [ + 3420, + 5083 + ], + [ + 7088, + 7241 + ], + [ + 6599, + 10460 + ], + [ + 978, + 1130 + ], + [ + 249, + 11278 + ], + [ + 1548, + 7110 + ], + [ + 3259, + 4576 + ], + [ + 8732, + 9120 + ], + [ + 50, + 488 + ], + [ + 853, + 2532 + ], + [ + 1413, + 7824 + ], + [ + 1048, + 2219 + ], + [ + 6139, + 10633 + ], + [ + 6612, + 11045 + ], + [ + 3866, + 8179 + ], + [ + 7006, + 10218 + ], + [ + 1283, + 5499 + ], + [ + 715, + 5981 + ], + [ + 9909, + 10035 + ], + [ + 9783, + 10862 + ], + [ + 5948, + 8032 + ], + [ + 3654, + 7707 + ], + [ + 2095, + 3842 + ], + [ + 8492, + 8505 + ], + [ + 3172, + 7209 + ], + [ + 4261, + 5675 + ], + [ + 2581, + 6741 + ], + [ + 8584, + 11477 + ], + [ + 2956, + 5864 + ], + [ + 6531, + 7077 + ], + [ + 3107, + 6033 + ], + [ + 1369, + 7121 + ], + [ + 6462, + 9192 + ], + [ + 5357, + 10947 + ], + [ + 437, + 9770 + ], + [ + 1110, + 9112 + ], + [ + 5007, + 6404 + ], + [ + 2010, + 4673 + ], + [ + 2486, + 11018 + ], + [ + 3534, + 8729 + ], + [ + 2479, + 9847 + ], + [ + 1332, + 10622 + ], + [ + 5594, + 7103 + ], + [ + 2249, + 3154 + ], + [ + 6579, + 10881 + ], + [ + 3656, + 10762 + ], + [ + 4093, + 6599 + ], + [ + 4122, + 11501 + ], + [ + 6975, + 7848 + ], + [ + 7609, + 11369 + ], + [ + 2988, + 7630 + ], + [ + 3796, + 5854 + ], + [ + 558, + 1028 + ], + [ + 6972, + 7550 + ], + [ + 843, + 10057 + ], + [ + 7133, + 8407 + ], + [ + 4550, + 11389 + ], + [ + 7530, + 11261 + ], + [ + 11267, + 11304 + ], + [ + 1, + 2800 + ], + [ + 7910, + 11482 + ], + [ + 718, + 8076 + ], + [ + 658, + 8025 + ], + [ + 5668, + 8341 + ], + [ + 6382, + 6930 + ], + [ + 8796, + 8865 + ], + [ + 843, + 7024 + ], + [ + 1367, + 9653 + ], + [ + 1897, + 6435 + ], + [ + 6553, + 8505 + ], + [ + 3734, + 10988 + ], + [ + 2356, + 10921 + ], + [ + 8651, + 8861 + ], + [ + 2168, + 6706 + ], + [ + 1505, + 8082 + ], + [ + 82, + 4832 + ], + [ + 3155, + 4895 + ], + [ + 4032, + 11584 + ], + [ + 3941, + 5804 + ], + [ + 5742, + 8448 + ], + [ + 5305, + 6195 + ], + [ + 1418, + 3175 + ], + [ + 1108, + 8611 + ], + [ + 5240, + 10681 + ], + [ + 9818, + 11340 + ], + [ + 2874, + 5784 + ], + [ + 4238, + 8427 + ], + [ + 6857, + 8485 + ], + [ + 2494, + 3284 + ], + [ + 7194, + 11288 + ], + [ + 5422, + 7130 + ], + [ + 4859, + 7956 + ], + [ + 3587, + 10537 + ], + [ + 4984, + 6904 + ], + [ + 3733, + 10362 + ], + [ + 5698, + 6247 + ], + [ + 4602, + 6610 + ], + [ + 875, + 5003 + ], + [ + 2334, + 4500 + ], + [ + 4316, + 10188 + ], + [ + 4381, + 11337 + ], + [ + 3828, + 10599 + ], + [ + 6254, + 6879 + ], + [ + 328, + 3329 + ], + [ + 2693, + 8755 + ], + [ + 1824, + 6091 + ], + [ + 6156, + 9727 + ], + [ + 1192, + 9032 + ], + [ + 5464, + 6201 + ], + [ + 1410, + 10423 + ], + [ + 949, + 3612 + ], + [ + 207, + 8637 + ], + [ + 4438, + 5805 + ], + [ + 4687, + 6509 + ], + [ + 3040, + 9213 + ], + [ + 4431, + 8017 + ], + [ + 1778, + 6096 + ], + [ + 6206, + 9440 + ], + [ + 468, + 5941 + ], + [ + 10708, + 11043 + ], + [ + 6226, + 10846 + ], + [ + 2337, + 11163 + ], + [ + 2483, + 10234 + ], + [ + 560, + 5126 + ], + [ + 221, + 5660 + ], + [ + 1774, + 8956 + ], + [ + 453, + 4505 + ], + [ + 1332, + 1441 + ], + [ + 8178, + 8374 + ], + [ + 1306, + 6636 + ], + [ + 120, + 8991 + ], + [ + 106, + 4397 + ], + [ + 426, + 9448 + ], + [ + 7458, + 8435 + ], + [ + 385, + 7195 + ], + [ + 1355, + 3495 + ], + [ + 3311, + 10214 + ], + [ + 2201, + 10871 + ], + [ + 3191, + 8577 + ], + [ + 2708, + 5225 + ], + [ + 4671, + 6699 + ], + [ + 2656, + 5035 + ], + [ + 595, + 774 + ], + [ + 4650, + 5822 + ], + [ + 1374, + 6928 + ], + [ + 6228, + 6731 + ], + [ + 2255, + 4691 + ], + [ + 1817, + 10881 + ], + [ + 4138, + 9619 + ], + [ + 10, + 7668 + ], + [ + 2178, + 6164 + ], + [ + 7004, + 10335 + ], + [ + 4792, + 11540 + ], + [ + 6106, + 8404 + ], + [ + 7462, + 10432 + ], + [ + 5158, + 9419 + ], + [ + 1108, + 2463 + ], + [ + 2202, + 11072 + ], + [ + 2536, + 10194 + ], + [ + 144, + 6328 + ], + [ + 2069, + 4312 + ], + [ + 2225, + 4825 + ], + [ + 1230, + 10158 + ], + [ + 1473, + 3500 + ], + [ + 1975, + 4650 + ], + [ + 915, + 4670 + ], + [ + 1749, + 8279 + ], + [ + 3813, + 10559 + ], + [ + 318, + 10049 + ], + [ + 7011, + 9570 + ], + [ + 1027, + 2632 + ], + [ + 2988, + 7443 + ], + [ + 2740, + 3177 + ], + [ + 5890, + 10068 + ], + [ + 4768, + 9210 + ], + [ + 2490, + 6412 + ], + [ + 3615, + 6787 + ], + [ + 5046, + 8400 + ], + [ + 650, + 3059 + ], + [ + 2704, + 11067 + ], + [ + 192, + 2181 + ], + [ + 961, + 1231 + ], + [ + 1368, + 9691 + ], + [ + 1557, + 5426 + ], + [ + 6280, + 8718 + ], + [ + 1364, + 5785 + ], + [ + 3850, + 8532 + ], + [ + 2910, + 7910 + ], + [ + 1423, + 6365 + ], + [ + 6498, + 7076 + ], + [ + 4119, + 4226 + ], + [ + 10882, + 10902 + ], + [ + 858, + 10528 + ], + [ + 170, + 328 + ], + [ + 2033, + 3850 + ], + [ + 4567, + 8523 + ], + [ + 2905, + 10195 + ], + [ + 1850, + 11313 + ], + [ + 1077, + 2695 + ], + [ + 4676, + 8466 + ], + [ + 2258, + 9795 + ], + [ + 2222, + 3722 + ], + [ + 4307, + 10289 + ], + [ + 2313, + 3840 + ], + [ + 9214, + 9726 + ], + [ + 2567, + 11304 + ], + [ + 93, + 4430 + ], + [ + 5361, + 5536 + ], + [ + 2990, + 8963 + ], + [ + 7508, + 9571 + ], + [ + 373, + 6699 + ], + [ + 4637, + 6259 + ], + [ + 4612, + 7892 + ], + [ + 8192, + 10203 + ], + [ + 596, + 2772 + ], + [ + 1691, + 10852 + ], + [ + 153, + 2202 + ], + [ + 254, + 2254 + ], + [ + 2556, + 3194 + ], + [ + 3669, + 6218 + ], + [ + 3010, + 7336 + ], + [ + 3416, + 8024 + ], + [ + 675, + 10420 + ], + [ + 7655, + 9217 + ], + [ + 2729, + 11258 + ], + [ + 2015, + 6253 + ], + [ + 2646, + 9503 + ], + [ + 1459, + 1834 + ], + [ + 2384, + 7059 + ], + [ + 3655, + 11423 + ], + [ + 5311, + 11434 + ], + [ + 9041, + 10306 + ], + [ + 3905, + 11571 + ], + [ + 6608, + 10603 + ], + [ + 10446, + 10698 + ], + [ + 6, + 4030 + ], + [ + 4274, + 10125 + ], + [ + 131, + 9394 + ], + [ + 5363, + 8591 + ], + [ + 511, + 3199 + ], + [ + 1316, + 4158 + ], + [ + 2709, + 9451 + ], + [ + 4056, + 5701 + ], + [ + 5644, + 8052 + ], + [ + 594, + 8337 + ], + [ + 3207, + 6695 + ], + [ + 1440, + 2881 + ], + [ + 7560, + 8956 + ], + [ + 471, + 3019 + ], + [ + 4452, + 5674 + ], + [ + 1088, + 1675 + ], + [ + 5661, + 8406 + ], + [ + 191, + 10549 + ], + [ + 2022, + 9652 + ], + [ + 5723, + 9284 + ], + [ + 618, + 5698 + ], + [ + 4953, + 6599 + ], + [ + 7410, + 8608 + ], + [ + 7928, + 10291 + ], + [ + 4168, + 9298 + ], + [ + 8488, + 9167 + ], + [ + 6588, + 11425 + ], + [ + 1361, + 6910 + ], + [ + 2135, + 9714 + ], + [ + 2238, + 7183 + ], + [ + 1011, + 2367 + ], + [ + 4598, + 5095 + ], + [ + 1534, + 2142 + ], + [ + 1289, + 7973 + ], + [ + 3498, + 6470 + ], + [ + 4212, + 5059 + ], + [ + 1235, + 4704 + ], + [ + 5371, + 11434 + ], + [ + 6030, + 10316 + ], + [ + 2506, + 11320 + ], + [ + 1814, + 7794 + ], + [ + 2316, + 8944 + ], + [ + 7636, + 10240 + ], + [ + 3801, + 7410 + ], + [ + 3085, + 7240 + ], + [ + 1660, + 7327 + ], + [ + 134, + 2444 + ], + [ + 5524, + 8643 + ], + [ + 1904, + 9939 + ], + [ + 5551, + 11220 + ], + [ + 8400, + 11575 + ], + [ + 993, + 7049 + ], + [ + 1712, + 6736 + ], + [ + 9499, + 10729 + ], + [ + 4017, + 11357 + ], + [ + 5380, + 8140 + ], + [ + 2489, + 9811 + ], + [ + 1527, + 11120 + ], + [ + 1706, + 6167 + ], + [ + 1551, + 9262 + ], + [ + 4455, + 8550 + ], + [ + 4049, + 7108 + ], + [ + 8252, + 8644 + ], + [ + 3381, + 3976 + ], + [ + 9399, + 10498 + ], + [ + 400, + 6885 + ], + [ + 183, + 8348 + ], + [ + 1952, + 6573 + ], + [ + 2017, + 7722 + ], + [ + 1913, + 6618 + ], + [ + 4502, + 10998 + ], + [ + 9734, + 10195 + ], + [ + 641, + 6947 + ], + [ + 599, + 6721 + ], + [ + 6087, + 10045 + ], + [ + 1505, + 5480 + ], + [ + 97, + 8954 + ], + [ + 128, + 4103 + ], + [ + 1688, + 8570 + ], + [ + 623, + 8246 + ], + [ + 8255, + 11170 + ], + [ + 10378, + 10647 + ], + [ + 9375, + 11201 + ], + [ + 507, + 10515 + ], + [ + 3422, + 3576 + ], + [ + 8065, + 8794 + ], + [ + 10585, + 11125 + ], + [ + 2421, + 4176 + ], + [ + 9275, + 10970 + ], + [ + 1811, + 10074 + ], + [ + 214, + 3473 + ], + [ + 6535, + 9804 + ], + [ + 9333, + 11325 + ], + [ + 5152, + 7858 + ], + [ + 2569, + 5178 + ], + [ + 2005, + 8031 + ], + [ + 2282, + 10783 + ], + [ + 8579, + 10304 + ], + [ + 1469, + 11434 + ], + [ + 6574, + 9358 + ], + [ + 2413, + 7267 + ], + [ + 8287, + 9903 + ], + [ + 4328, + 4563 + ], + [ + 5539, + 11128 + ], + [ + 1103, + 7112 + ], + [ + 878, + 2298 + ], + [ + 5019, + 8618 + ], + [ + 7412, + 8922 + ], + [ + 3177, + 8602 + ], + [ + 1933, + 6815 + ], + [ + 1589, + 7005 + ], + [ + 3454, + 7190 + ], + [ + 4147, + 5656 + ], + [ + 255, + 2292 + ], + [ + 2548, + 5398 + ], + [ + 4325, + 7648 + ], + [ + 340, + 8257 + ], + [ + 550, + 4869 + ], + [ + 2647, + 9541 + ], + [ + 517, + 2477 + ], + [ + 4823, + 4892 + ], + [ + 280, + 6671 + ], + [ + 868, + 6841 + ], + [ + 6181, + 7720 + ], + [ + 7516, + 8871 + ], + [ + 2483, + 11015 + ], + [ + 492, + 8247 + ], + [ + 767, + 10172 + ], + [ + 1349, + 2980 + ], + [ + 2374, + 9567 + ], + [ + 796, + 8658 + ], + [ + 4872, + 8167 + ], + [ + 9631, + 11116 + ], + [ + 2172, + 6400 + ], + [ + 3311, + 10645 + ], + [ + 1439, + 9289 + ], + [ + 2944, + 9131 + ], + [ + 1776, + 5676 + ], + [ + 1966, + 11435 + ], + [ + 4001, + 8059 + ], + [ + 357, + 8961 + ], + [ + 1718, + 4917 + ], + [ + 2740, + 4413 + ], + [ + 787, + 7791 + ], + [ + 97, + 928 + ], + [ + 635, + 3987 + ], + [ + 4494, + 4959 + ], + [ + 3647, + 10944 + ], + [ + 528, + 3366 + ], + [ + 5825, + 9374 + ], + [ + 218, + 2386 + ], + [ + 2425, + 6472 + ], + [ + 7349, + 7768 + ], + [ + 10119, + 10274 + ], + [ + 4140, + 7844 + ], + [ + 2980, + 10666 + ], + [ + 6218, + 9076 + ], + [ + 939, + 7781 + ], + [ + 9743, + 10926 + ], + [ + 6009, + 8902 + ], + [ + 5598, + 7116 + ], + [ + 677, + 6091 + ], + [ + 742, + 4234 + ], + [ + 951, + 1375 + ], + [ + 2415, + 6134 + ], + [ + 6582, + 7259 + ], + [ + 6680, + 7794 + ], + [ + 5035, + 5663 + ], + [ + 50, + 6343 + ], + [ + 5932, + 6588 + ], + [ + 9220, + 11531 + ], + [ + 1655, + 3413 + ], + [ + 8079, + 10623 + ], + [ + 1947, + 7197 + ], + [ + 980, + 10414 + ], + [ + 4958, + 6382 + ], + [ + 1761, + 3809 + ], + [ + 8884, + 9330 + ], + [ + 7547, + 10762 + ], + [ + 3275, + 7931 + ], + [ + 2168, + 8105 + ], + [ + 200, + 6287 + ], + [ + 1289, + 4753 + ], + [ + 1566, + 3341 + ], + [ + 4771, + 9939 + ], + [ + 3305, + 9271 + ], + [ + 8881, + 9032 + ], + [ + 1338, + 4645 + ], + [ + 4646, + 8712 + ], + [ + 2249, + 10164 + ], + [ + 1463, + 10009 + ], + [ + 5912, + 7814 + ], + [ + 103, + 9737 + ], + [ + 2367, + 7941 + ], + [ + 7571, + 11506 + ], + [ + 5171, + 7779 + ], + [ + 2363, + 11205 + ], + [ + 11105, + 11220 + ], + [ + 4971, + 6967 + ], + [ + 10134, + 10531 + ], + [ + 3568, + 10031 + ], + [ + 4230, + 9184 + ], + [ + 2922, + 9856 + ], + [ + 3514, + 7516 + ], + [ + 2423, + 5971 + ], + [ + 2010, + 10528 + ], + [ + 8276, + 9982 + ], + [ + 5375, + 10211 + ], + [ + 420, + 7350 + ], + [ + 1239, + 10651 + ], + [ + 5712, + 7352 + ], + [ + 4471, + 9246 + ], + [ + 3077, + 10144 + ], + [ + 419, + 7879 + ], + [ + 4211, + 7629 + ], + [ + 8978, + 11193 + ], + [ + 1843, + 8321 + ], + [ + 614, + 7566 + ], + [ + 2306, + 3881 + ], + [ + 9470, + 10901 + ], + [ + 5554, + 9395 + ], + [ + 9540, + 10142 + ], + [ + 5457, + 9462 + ], + [ + 574, + 8167 + ], + [ + 7267, + 7688 + ], + [ + 412, + 10091 + ], + [ + 3836, + 5473 + ], + [ + 5916, + 7532 + ], + [ + 5604, + 5725 + ], + [ + 1213, + 4892 + ], + [ + 510, + 9845 + ], + [ + 3205, + 4852 + ], + [ + 1904, + 2531 + ], + [ + 2859, + 4215 + ], + [ + 1291, + 10410 + ], + [ + 3767, + 6053 + ], + [ + 6157, + 6840 + ], + [ + 6943, + 7749 + ], + [ + 1220, + 5282 + ], + [ + 5568, + 7199 + ], + [ + 2700, + 3404 + ], + [ + 7312, + 9309 + ], + [ + 6718, + 8570 + ], + [ + 4484, + 6044 + ], + [ + 608, + 3213 + ], + [ + 129, + 7120 + ], + [ + 8701, + 11450 + ], + [ + 497, + 5826 + ], + [ + 5753, + 9581 + ], + [ + 7432, + 11296 + ], + [ + 2077, + 4529 + ], + [ + 7765, + 10193 + ], + [ + 4907, + 7840 + ], + [ + 3135, + 3682 + ], + [ + 6266, + 7133 + ], + [ + 8012, + 10824 + ], + [ + 1983, + 4113 + ], + [ + 2296, + 8774 + ], + [ + 727, + 7227 + ], + [ + 2594, + 5987 + ], + [ + 5809, + 9863 + ], + [ + 2001, + 8856 + ], + [ + 1230, + 2563 + ], + [ + 5665, + 9360 + ], + [ + 7693, + 8977 + ], + [ + 7290, + 7806 + ], + [ + 8933, + 9864 + ], + [ + 308, + 1766 + ], + [ + 3898, + 8929 + ], + [ + 443, + 1402 + ], + [ + 1036, + 1916 + ], + [ + 5702, + 8838 + ], + [ + 5747, + 7857 + ], + [ + 6820, + 8042 + ], + [ + 1402, + 10375 + ], + [ + 9712, + 9979 + ], + [ + 5342, + 10023 + ], + [ + 7692, + 8725 + ], + [ + 25, + 8998 + ], + [ + 5092, + 9848 + ], + [ + 2798, + 8769 + ], + [ + 5007, + 7266 + ], + [ + 299, + 10698 + ], + [ + 3595, + 6834 + ], + [ + 7304, + 11245 + ], + [ + 10356, + 10431 + ], + [ + 2908, + 10068 + ], + [ + 2224, + 6403 + ], + [ + 3688, + 6244 + ], + [ + 10009, + 10323 + ], + [ + 1845, + 3374 + ], + [ + 323, + 9190 + ], + [ + 1474, + 4370 + ], + [ + 4582, + 11035 + ], + [ + 4680, + 8160 + ], + [ + 2839, + 8369 + ], + [ + 8630, + 9250 + ], + [ + 2095, + 10315 + ], + [ + 6632, + 10973 + ], + [ + 531, + 2696 + ], + [ + 3521, + 8174 + ], + [ + 6038, + 10234 + ], + [ + 1830, + 2692 + ], + [ + 3515, + 7605 + ], + [ + 929, + 6906 + ], + [ + 2522, + 3185 + ], + [ + 2205, + 7450 + ], + [ + 7303, + 9865 + ], + [ + 1336, + 4786 + ], + [ + 3640, + 6553 + ], + [ + 203, + 10185 + ], + [ + 492, + 3872 + ], + [ + 7985, + 9670 + ], + [ + 3219, + 3298 + ], + [ + 271, + 1429 + ], + [ + 4433, + 7128 + ], + [ + 6406, + 9290 + ], + [ + 4028, + 9294 + ], + [ + 1108, + 9473 + ], + [ + 394, + 3714 + ], + [ + 4119, + 8658 + ], + [ + 4344, + 11220 + ], + [ + 7150, + 9973 + ], + [ + 2751, + 4361 + ], + [ + 139, + 3195 + ], + [ + 4701, + 4849 + ], + [ + 4983, + 7945 + ], + [ + 2309, + 7399 + ], + [ + 3238, + 7862 + ], + [ + 1312, + 3237 + ], + [ + 4326, + 8355 + ], + [ + 5735, + 6237 + ], + [ + 778, + 8965 + ], + [ + 1999, + 3386 + ], + [ + 3201, + 11363 + ], + [ + 3803, + 10465 + ], + [ + 8502, + 9199 + ], + [ + 9214, + 11125 + ], + [ + 1984, + 7989 + ], + [ + 3816, + 9946 + ], + [ + 925, + 2195 + ], + [ + 4751, + 7945 + ], + [ + 1552, + 8709 + ], + [ + 5525, + 7339 + ], + [ + 1039, + 3236 + ], + [ + 3944, + 9542 + ], + [ + 8015, + 8707 + ], + [ + 4837, + 10348 + ], + [ + 10783, + 11140 + ], + [ + 6361, + 8742 + ], + [ + 6739, + 7382 + ], + [ + 3497, + 11482 + ], + [ + 940, + 5859 + ], + [ + 4670, + 8895 + ], + [ + 408, + 5998 + ], + [ + 5418, + 6314 + ], + [ + 4198, + 9085 + ], + [ + 1291, + 10223 + ], + [ + 9992, + 10237 + ], + [ + 1654, + 7831 + ], + [ + 1241, + 10136 + ], + [ + 3075, + 8756 + ], + [ + 6812, + 8799 + ], + [ + 5664, + 6720 + ], + [ + 4390, + 6222 + ], + [ + 5314, + 9347 + ], + [ + 985, + 5228 + ], + [ + 336, + 11198 + ], + [ + 1611, + 1718 + ], + [ + 6029, + 10790 + ], + [ + 924, + 4952 + ], + [ + 1357, + 10469 + ], + [ + 3783, + 6749 + ], + [ + 4285, + 7899 + ], + [ + 1919, + 9418 + ], + [ + 3041, + 3860 + ], + [ + 2693, + 8812 + ], + [ + 8336, + 9041 + ], + [ + 549, + 2796 + ], + [ + 3868, + 6298 + ], + [ + 3778, + 9788 + ], + [ + 4280, + 10938 + ], + [ + 4116, + 9783 + ], + [ + 377, + 6661 + ], + [ + 4523, + 7663 + ], + [ + 4824, + 8557 + ], + [ + 296, + 11368 + ], + [ + 2924, + 4399 + ], + [ + 1375, + 8392 + ], + [ + 1468, + 5173 + ], + [ + 3553, + 7576 + ], + [ + 10060, + 10125 + ], + [ + 6230, + 7639 + ], + [ + 3645, + 10548 + ], + [ + 2241, + 10758 + ], + [ + 2091, + 7781 + ], + [ + 842, + 4896 + ], + [ + 4448, + 8428 + ], + [ + 3450, + 10080 + ], + [ + 1798, + 3772 + ], + [ + 3642, + 10250 + ], + [ + 5070, + 8182 + ], + [ + 114, + 11512 + ], + [ + 25, + 5778 + ], + [ + 3750, + 9968 + ], + [ + 5245, + 9122 + ], + [ + 2568, + 2643 + ], + [ + 1260, + 9731 + ], + [ + 821, + 6651 + ], + [ + 4845, + 10134 + ], + [ + 4026, + 9085 + ], + [ + 793, + 4603 + ], + [ + 2785, + 10979 + ], + [ + 8635, + 9057 + ], + [ + 920, + 3624 + ], + [ + 10128, + 11548 + ], + [ + 2561, + 2603 + ], + [ + 5293, + 9543 + ], + [ + 4429, + 7223 + ], + [ + 1122, + 6764 + ], + [ + 6765, + 6993 + ], + [ + 15, + 4686 + ], + [ + 1940, + 3424 + ], + [ + 63, + 3976 + ], + [ + 9833, + 10095 + ], + [ + 8711, + 9991 + ], + [ + 2467, + 6324 + ], + [ + 2897, + 5154 + ], + [ + 7850, + 11352 + ], + [ + 2174, + 2315 + ], + [ + 773, + 8458 + ], + [ + 6289, + 7414 + ], + [ + 1270, + 2848 + ], + [ + 4974, + 6915 + ], + [ + 4855, + 9667 + ], + [ + 8831, + 11224 + ], + [ + 3232, + 11267 + ], + [ + 9417, + 11321 + ], + [ + 6256, + 8405 + ], + [ + 4840, + 7100 + ], + [ + 2813, + 8839 + ], + [ + 6841, + 8277 + ], + [ + 298, + 3819 + ], + [ + 2446, + 4292 + ], + [ + 8970, + 10228 + ], + [ + 1852, + 3553 + ], + [ + 4432, + 10099 + ], + [ + 5206, + 9493 + ], + [ + 5323, + 10078 + ], + [ + 6596, + 11105 + ], + [ + 1056, + 1175 + ], + [ + 3089, + 7552 + ], + [ + 811, + 4754 + ], + [ + 8723, + 10701 + ], + [ + 9991, + 10630 + ], + [ + 2424, + 8101 + ], + [ + 5314, + 9965 + ], + [ + 2203, + 6412 + ], + [ + 10014, + 11553 + ], + [ + 8861, + 9130 + ], + [ + 8797, + 11589 + ], + [ + 5430, + 11079 + ], + [ + 1209, + 8183 + ], + [ + 3480, + 7558 + ], + [ + 4462, + 7655 + ], + [ + 2106, + 9862 + ], + [ + 6397, + 7081 + ], + [ + 5684, + 11346 + ], + [ + 1107, + 7125 + ], + [ + 3474, + 6962 + ], + [ + 3092, + 3662 + ], + [ + 7887, + 9274 + ], + [ + 253, + 5523 + ], + [ + 4967, + 9453 + ], + [ + 3618, + 9370 + ], + [ + 5557, + 6286 + ], + [ + 4858, + 8005 + ], + [ + 283, + 447 + ], + [ + 10284, + 10451 + ], + [ + 4052, + 9827 + ], + [ + 7531, + 11332 + ], + [ + 1158, + 4811 + ], + [ + 4836, + 9909 + ], + [ + 4616, + 5439 + ], + [ + 349, + 2198 + ], + [ + 1684, + 10519 + ], + [ + 190, + 1387 + ], + [ + 3648, + 8431 + ], + [ + 491, + 4533 + ], + [ + 3271, + 6229 + ], + [ + 8530, + 9501 + ], + [ + 625, + 11114 + ], + [ + 391, + 4302 + ], + [ + 2305, + 9267 + ], + [ + 2675, + 8046 + ], + [ + 4375, + 10638 + ], + [ + 4843, + 6542 + ], + [ + 6126, + 7503 + ], + [ + 2069, + 5792 + ], + [ + 83, + 9784 + ], + [ + 5778, + 10203 + ], + [ + 5532, + 7518 + ], + [ + 2068, + 6321 + ], + [ + 4652, + 6193 + ], + [ + 545, + 5119 + ], + [ + 1376, + 5047 + ], + [ + 8726, + 9039 + ], + [ + 6637, + 9146 + ], + [ + 3600, + 4576 + ], + [ + 2753, + 9807 + ], + [ + 2593, + 8394 + ], + [ + 1127, + 1310 + ], + [ + 9815, + 10888 + ], + [ + 412, + 8912 + ], + [ + 4020, + 6101 + ], + [ + 7328, + 10168 + ], + [ + 7261, + 8946 + ], + [ + 7497, + 10943 + ], + [ + 2242, + 10796 + ], + [ + 3369, + 4828 + ], + [ + 2932, + 4827 + ], + [ + 2033, + 9868 + ], + [ + 8411, + 10317 + ], + [ + 627, + 10005 + ], + [ + 1783, + 9693 + ], + [ + 6098, + 9218 + ], + [ + 8178, + 11277 + ], + [ + 5747, + 7483 + ], + [ + 7340, + 10178 + ], + [ + 459, + 11360 + ], + [ + 4287, + 10767 + ], + [ + 5190, + 5845 + ], + [ + 4536, + 11471 + ], + [ + 5745, + 10793 + ], + [ + 991, + 5182 + ], + [ + 1455, + 10012 + ], + [ + 8573, + 11025 + ], + [ + 1644, + 6501 + ], + [ + 264, + 4853 + ], + [ + 5282, + 5784 + ], + [ + 3816, + 5116 + ], + [ + 894, + 10884 + ], + [ + 4521, + 6625 + ], + [ + 1754, + 10052 + ], + [ + 811, + 1989 + ], + [ + 2490, + 3704 + ], + [ + 1507, + 6388 + ], + [ + 3253, + 9325 + ], + [ + 2775, + 7071 + ], + [ + 66, + 7470 + ], + [ + 494, + 10391 + ], + [ + 3054, + 9115 + ], + [ + 6851, + 9209 + ], + [ + 593, + 3200 + ], + [ + 6509, + 9445 + ], + [ + 2111, + 7441 + ], + [ + 1147, + 1507 + ], + [ + 18, + 10812 + ], + [ + 3416, + 6471 + ], + [ + 6707, + 8679 + ], + [ + 888, + 9914 + ], + [ + 8573, + 10220 + ], + [ + 1606, + 9376 + ], + [ + 3968, + 8115 + ], + [ + 1761, + 9664 + ], + [ + 822, + 2097 + ], + [ + 533, + 1994 + ], + [ + 7237, + 11473 + ], + [ + 2251, + 2883 + ], + [ + 4678, + 6935 + ], + [ + 6722, + 9337 + ], + [ + 1521, + 3037 + ], + [ + 9409, + 10088 + ], + [ + 3172, + 9120 + ], + [ + 1245, + 3893 + ], + [ + 407, + 6958 + ], + [ + 4825, + 9614 + ], + [ + 6201, + 7356 + ], + [ + 7932, + 9261 + ], + [ + 36, + 7954 + ], + [ + 5597, + 5929 + ], + [ + 4736, + 10296 + ], + [ + 4860, + 5636 + ], + [ + 10144, + 10658 + ], + [ + 1459, + 2509 + ], + [ + 2295, + 2781 + ], + [ + 23, + 10351 + ], + [ + 5398, + 11354 + ], + [ + 2667, + 8022 + ], + [ + 1953, + 3017 + ], + [ + 8453, + 8559 + ], + [ + 4134, + 5128 + ], + [ + 2190, + 2206 + ], + [ + 6212, + 11278 + ], + [ + 1071, + 5029 + ], + [ + 8882, + 10170 + ], + [ + 570, + 7487 + ], + [ + 671, + 7539 + ], + [ + 2290, + 9203 + ], + [ + 392, + 8124 + ], + [ + 2725, + 8377 + ], + [ + 6699, + 9861 + ], + [ + 5432, + 10534 + ], + [ + 1592, + 7360 + ], + [ + 4393, + 5769 + ], + [ + 878, + 2355 + ], + [ + 6237, + 9241 + ], + [ + 8591, + 10371 + ], + [ + 6476, + 11509 + ], + [ + 2273, + 4311 + ], + [ + 5570, + 9717 + ], + [ + 773, + 3278 + ], + [ + 2343, + 8433 + ], + [ + 3767, + 8875 + ], + [ + 4763, + 11314 + ], + [ + 5375, + 5462 + ], + [ + 154, + 8309 + ], + [ + 2071, + 2268 + ], + [ + 8089, + 8790 + ], + [ + 4937, + 9400 + ], + [ + 18, + 9202 + ], + [ + 171, + 5280 + ], + [ + 1640, + 3213 + ], + [ + 632, + 4177 + ], + [ + 2755, + 2900 + ], + [ + 7261, + 8409 + ], + [ + 7992, + 8857 + ], + [ + 201, + 7374 + ], + [ + 5557, + 8327 + ], + [ + 602, + 1302 + ], + [ + 1295, + 6184 + ], + [ + 5371, + 5693 + ], + [ + 5963, + 9769 + ], + [ + 1081, + 11328 + ], + [ + 9871, + 10633 + ], + [ + 470, + 2314 + ], + [ + 3455, + 7448 + ], + [ + 4867, + 11263 + ], + [ + 932, + 4065 + ], + [ + 2217, + 2443 + ], + [ + 5324, + 8506 + ], + [ + 6382, + 11069 + ], + [ + 381, + 744 + ], + [ + 4613, + 7182 + ], + [ + 8520, + 10854 + ], + [ + 2921, + 10143 + ], + [ + 2613, + 5826 + ], + [ + 9309, + 11280 + ], + [ + 8965, + 11470 + ], + [ + 773, + 8889 + ], + [ + 2022, + 9522 + ], + [ + 3140, + 8726 + ], + [ + 3021, + 10724 + ], + [ + 2543, + 4306 + ], + [ + 435, + 10779 + ], + [ + 2792, + 5010 + ], + [ + 2862, + 9913 + ], + [ + 1367, + 4343 + ], + [ + 2146, + 4081 + ], + [ + 5843, + 11141 + ], + [ + 7424, + 11567 + ], + [ + 5803, + 7578 + ], + [ + 205, + 10475 + ], + [ + 1105, + 5282 + ], + [ + 543, + 9716 + ], + [ + 3864, + 7629 + ], + [ + 4182, + 6972 + ], + [ + 9973, + 10105 + ], + [ + 6482, + 11249 + ], + [ + 5109, + 6608 + ], + [ + 2901, + 5303 + ], + [ + 1531, + 4343 + ], + [ + 1632, + 11565 + ], + [ + 10216, + 10240 + ], + [ + 2680, + 2860 + ], + [ + 3490, + 8327 + ], + [ + 2406, + 4543 + ], + [ + 11265, + 11559 + ], + [ + 4106, + 4883 + ], + [ + 1161, + 8947 + ], + [ + 5411, + 10329 + ], + [ + 6008, + 8333 + ], + [ + 4454, + 11228 + ], + [ + 6326, + 6922 + ], + [ + 6849, + 8949 + ], + [ + 6405, + 11187 + ], + [ + 3676, + 8682 + ], + [ + 1176, + 9255 + ], + [ + 1207, + 11574 + ], + [ + 519, + 4784 + ], + [ + 740, + 3440 + ], + [ + 1796, + 8182 + ], + [ + 4982, + 10566 + ], + [ + 110, + 3044 + ], + [ + 9793, + 10295 + ], + [ + 4870, + 9601 + ], + [ + 21, + 3726 + ], + [ + 6249, + 11024 + ], + [ + 3187, + 4734 + ], + [ + 2533, + 5442 + ], + [ + 8482, + 9915 + ], + [ + 2974, + 7070 + ], + [ + 4207, + 10196 + ], + [ + 255, + 2617 + ], + [ + 7262, + 9653 + ], + [ + 1231, + 7033 + ], + [ + 3316, + 9436 + ], + [ + 8569, + 9510 + ], + [ + 1009, + 1736 + ], + [ + 4, + 2217 + ], + [ + 9649, + 10142 + ], + [ + 7255, + 9613 + ], + [ + 6472, + 8221 + ], + [ + 3919, + 4252 + ], + [ + 3056, + 11202 + ], + [ + 1062, + 8163 + ], + [ + 384, + 5067 + ], + [ + 2314, + 10565 + ], + [ + 6629, + 10090 + ], + [ + 1441, + 10411 + ], + [ + 1020, + 8691 + ], + [ + 192, + 8280 + ], + [ + 4330, + 8667 + ], + [ + 2897, + 3975 + ], + [ + 1613, + 9205 + ], + [ + 5563, + 6131 + ], + [ + 1146, + 10493 + ], + [ + 3232, + 10088 + ], + [ + 3011, + 7645 + ], + [ + 7770, + 10594 + ], + [ + 4095, + 5767 + ], + [ + 2192, + 4344 + ], + [ + 8793, + 10692 + ], + [ + 822, + 7521 + ], + [ + 1073, + 11304 + ], + [ + 1591, + 6571 + ], + [ + 1847, + 8446 + ], + [ + 3841, + 5069 + ], + [ + 9868, + 10199 + ], + [ + 195, + 4390 + ], + [ + 1659, + 8395 + ], + [ + 2435, + 4452 + ], + [ + 2060, + 9493 + ], + [ + 2585, + 7429 + ], + [ + 7013, + 9275 + ], + [ + 10497, + 11124 + ], + [ + 5387, + 6440 + ], + [ + 3613, + 5619 + ], + [ + 2178, + 7270 + ], + [ + 3241, + 6013 + ], + [ + 1393, + 2799 + ], + [ + 5782, + 6969 + ], + [ + 10900, + 11514 + ], + [ + 5721, + 8945 + ], + [ + 2931, + 8416 + ], + [ + 1605, + 4375 + ], + [ + 8748, + 10518 + ], + [ + 4539, + 11419 + ], + [ + 7423, + 9331 + ], + [ + 1179, + 5664 + ], + [ + 7865, + 10430 + ], + [ + 4625, + 11193 + ], + [ + 6650, + 7129 + ], + [ + 184, + 417 + ], + [ + 9979, + 11319 + ], + [ + 7148, + 10789 + ], + [ + 512, + 5386 + ], + [ + 611, + 9529 + ], + [ + 3787, + 7061 + ], + [ + 760, + 8871 + ], + [ + 426, + 9749 + ], + [ + 5219, + 11528 + ], + [ + 2936, + 11392 + ], + [ + 8036, + 8218 + ], + [ + 3526, + 5973 + ], + [ + 2896, + 5577 + ], + [ + 2834, + 3945 + ], + [ + 855, + 2692 + ], + [ + 3498, + 3925 + ], + [ + 385, + 10879 + ], + [ + 509, + 2055 + ], + [ + 6264, + 9695 + ], + [ + 7633, + 10430 + ], + [ + 2220, + 5937 + ], + [ + 2342, + 7620 + ], + [ + 4670, + 7529 + ], + [ + 2400, + 11008 + ], + [ + 1182, + 4026 + ], + [ + 7529, + 9326 + ], + [ + 461, + 8430 + ], + [ + 1084, + 1239 + ], + [ + 3119, + 10695 + ], + [ + 1302, + 9046 + ], + [ + 2703, + 8565 + ], + [ + 8819, + 11458 + ], + [ + 2869, + 3350 + ], + [ + 1434, + 8411 + ], + [ + 1773, + 8631 + ], + [ + 5566, + 11235 + ], + [ + 4853, + 9084 + ], + [ + 1837, + 3139 + ], + [ + 2893, + 11291 + ], + [ + 4352, + 10788 + ], + [ + 6248, + 11040 + ], + [ + 5035, + 8566 + ], + [ + 6253, + 9132 + ], + [ + 3224, + 10115 + ], + [ + 454, + 7609 + ], + [ + 7152, + 7474 + ], + [ + 2510, + 5110 + ], + [ + 770, + 9535 + ], + [ + 8273, + 10359 + ], + [ + 104, + 9482 + ], + [ + 6265, + 9142 + ], + [ + 3632, + 8597 + ], + [ + 84, + 5043 + ], + [ + 3905, + 10449 + ], + [ + 3719, + 4809 + ], + [ + 7074, + 10974 + ], + [ + 128, + 4591 + ], + [ + 2414, + 4998 + ], + [ + 5917, + 11061 + ], + [ + 6442, + 7499 + ], + [ + 193, + 2734 + ], + [ + 1223, + 6255 + ], + [ + 4703, + 9116 + ], + [ + 6253, + 7977 + ], + [ + 8145, + 10739 + ], + [ + 4547, + 7822 + ], + [ + 7556, + 10344 + ], + [ + 5880, + 8900 + ], + [ + 4075, + 8012 + ], + [ + 467, + 4407 + ], + [ + 9993, + 10920 + ], + [ + 7619, + 8414 + ], + [ + 3727, + 5050 + ], + [ + 3172, + 9901 + ], + [ + 1923, + 7770 + ], + [ + 672, + 11228 + ], + [ + 710, + 1132 + ], + [ + 4913, + 6078 + ], + [ + 2578, + 9162 + ], + [ + 1824, + 7010 + ], + [ + 425, + 7564 + ], + [ + 7242, + 9595 + ], + [ + 4219, + 8141 + ], + [ + 478, + 4946 + ], + [ + 2594, + 6662 + ], + [ + 6310, + 8080 + ], + [ + 8108, + 11207 + ], + [ + 5959, + 7099 + ], + [ + 7675, + 11325 + ], + [ + 1164, + 11286 + ], + [ + 9655, + 9770 + ], + [ + 3394, + 4244 + ], + [ + 1773, + 6671 + ], + [ + 3928, + 7561 + ], + [ + 4169, + 10656 + ], + [ + 3298, + 7165 + ], + [ + 8786, + 10489 + ], + [ + 1441, + 6841 + ], + [ + 3249, + 11410 + ], + [ + 2611, + 10399 + ], + [ + 1336, + 9299 + ], + [ + 7198, + 8892 + ], + [ + 496, + 5121 + ], + [ + 3137, + 9691 + ], + [ + 3830, + 10409 + ], + [ + 3388, + 7058 + ], + [ + 4386, + 6160 + ], + [ + 3476, + 3495 + ], + [ + 346, + 2144 + ], + [ + 4826, + 6432 + ], + [ + 3236, + 3254 + ], + [ + 1328, + 2241 + ], + [ + 1887, + 3925 + ], + [ + 4287, + 5400 + ], + [ + 6322, + 8440 + ], + [ + 4223, + 7859 + ], + [ + 1143, + 6625 + ], + [ + 5571, + 9969 + ], + [ + 298, + 2103 + ], + [ + 531, + 10942 + ], + [ + 8668, + 8928 + ], + [ + 2231, + 4866 + ], + [ + 5503, + 8522 + ], + [ + 680, + 8032 + ], + [ + 5905, + 6058 + ], + [ + 645, + 8977 + ], + [ + 1295, + 6615 + ], + [ + 3506, + 5185 + ], + [ + 455, + 8853 + ], + [ + 2162, + 6200 + ], + [ + 7444, + 11176 + ], + [ + 8791, + 10432 + ], + [ + 231, + 6893 + ], + [ + 4530, + 8891 + ], + [ + 3580, + 6073 + ], + [ + 3062, + 5144 + ], + [ + 2151, + 10922 + ], + [ + 2588, + 5261 + ], + [ + 1469, + 8084 + ], + [ + 4666, + 10657 + ], + [ + 3298, + 6360 + ], + [ + 1304, + 4075 + ], + [ + 10703, + 10813 + ], + [ + 6472, + 7229 + ], + [ + 2335, + 10450 + ], + [ + 9465, + 9972 + ], + [ + 10053, + 10142 + ], + [ + 5261, + 11217 + ], + [ + 1899, + 11051 + ], + [ + 2737, + 5734 + ], + [ + 5792, + 10853 + ], + [ + 7342, + 10468 + ], + [ + 3479, + 5590 + ], + [ + 7150, + 7265 + ], + [ + 2912, + 6674 + ], + [ + 5659, + 8230 + ], + [ + 4959, + 7095 + ], + [ + 2194, + 4179 + ], + [ + 2655, + 5328 + ], + [ + 11285, + 11518 + ], + [ + 3374, + 4261 + ], + [ + 2818, + 7012 + ], + [ + 444, + 10168 + ], + [ + 8195, + 8842 + ], + [ + 8043, + 11454 + ], + [ + 2871, + 10056 + ], + [ + 9574, + 10265 + ], + [ + 101, + 1134 + ], + [ + 8163, + 9304 + ], + [ + 1845, + 3244 + ], + [ + 5323, + 10940 + ], + [ + 1560, + 10430 + ], + [ + 1811, + 7797 + ], + [ + 1897, + 6817 + ], + [ + 2175, + 8259 + ], + [ + 1184, + 4666 + ], + [ + 7661, + 8504 + ], + [ + 2298, + 10544 + ], + [ + 775, + 9342 + ], + [ + 5503, + 6562 + ], + [ + 530, + 9511 + ], + [ + 6065, + 6265 + ], + [ + 8738, + 8838 + ], + [ + 7556, + 7929 + ], + [ + 2172, + 4928 + ], + [ + 2196, + 9486 + ], + [ + 7120, + 10782 + ], + [ + 1415, + 2505 + ], + [ + 706, + 4260 + ], + [ + 5432, + 11233 + ], + [ + 3014, + 6146 + ], + [ + 2319, + 5355 + ], + [ + 5987, + 9765 + ], + [ + 4094, + 6778 + ], + [ + 2972, + 6674 + ], + [ + 5021, + 7168 + ], + [ + 726, + 8295 + ], + [ + 4399, + 10797 + ], + [ + 3308, + 5842 + ], + [ + 825, + 6022 + ], + [ + 409, + 482 + ], + [ + 5990, + 10413 + ], + [ + 818, + 4851 + ], + [ + 701, + 10682 + ], + [ + 659, + 4040 + ], + [ + 6109, + 11044 + ], + [ + 4889, + 7399 + ], + [ + 1522, + 6889 + ], + [ + 7411, + 10557 + ], + [ + 1802, + 9158 + ], + [ + 2404, + 7506 + ], + [ + 1246, + 11155 + ], + [ + 4976, + 10027 + ], + [ + 3916, + 10047 + ], + [ + 6631, + 7184 + ], + [ + 2491, + 3718 + ], + [ + 3707, + 9873 + ], + [ + 8306, + 11409 + ], + [ + 6224, + 6271 + ], + [ + 10475, + 10507 + ], + [ + 1149, + 10441 + ], + [ + 6715, + 8760 + ], + [ + 1489, + 11263 + ], + [ + 1353, + 7238 + ], + [ + 1639, + 11207 + ], + [ + 1018, + 2229 + ], + [ + 2378, + 11546 + ], + [ + 475, + 4461 + ], + [ + 845, + 3240 + ], + [ + 1218, + 1536 + ], + [ + 6006, + 10141 + ], + [ + 2468, + 7275 + ], + [ + 4525, + 5378 + ], + [ + 3155, + 11588 + ], + [ + 9963, + 10867 + ], + [ + 2955, + 10776 + ], + [ + 1988, + 6823 + ], + [ + 498, + 5761 + ], + [ + 4820, + 8709 + ], + [ + 4573, + 8051 + ], + [ + 9767, + 10928 + ], + [ + 182, + 802 + ], + [ + 7246, + 10624 + ], + [ + 4476, + 8118 + ], + [ + 3269, + 8842 + ], + [ + 5277, + 9335 + ], + [ + 1760, + 5094 + ], + [ + 679, + 11407 + ], + [ + 2164, + 3457 + ], + [ + 3323, + 9078 + ], + [ + 2219, + 3164 + ], + [ + 1291, + 5555 + ], + [ + 1115, + 7773 + ], + [ + 2481, + 10489 + ], + [ + 7617, + 9978 + ], + [ + 1882, + 10160 + ], + [ + 2505, + 2969 + ], + [ + 5717, + 6574 + ], + [ + 2191, + 10915 + ], + [ + 598, + 1804 + ], + [ + 3056, + 9673 + ], + [ + 3397, + 3550 + ], + [ + 638, + 4586 + ], + [ + 5149, + 10439 + ], + [ + 4524, + 8135 + ], + [ + 5291, + 6358 + ], + [ + 10898, + 11094 + ], + [ + 5760, + 9280 + ], + [ + 10054, + 10180 + ], + [ + 4106, + 9315 + ], + [ + 4171, + 9710 + ], + [ + 1480, + 5053 + ], + [ + 2391, + 10572 + ], + [ + 3387, + 8847 + ], + [ + 2919, + 6527 + ], + [ + 7623, + 9769 + ], + [ + 1021, + 10366 + ], + [ + 6967, + 8152 + ], + [ + 7550, + 10984 + ], + [ + 6935, + 9368 + ], + [ + 6276, + 10486 + ], + [ + 7212, + 7956 + ], + [ + 5283, + 5312 + ], + [ + 6669, + 10188 + ], + [ + 2536, + 7893 + ], + [ + 4368, + 5686 + ], + [ + 4552, + 8247 + ], + [ + 595, + 3734 + ], + [ + 2678, + 10228 + ], + [ + 7915, + 9769 + ], + [ + 3995, + 10773 + ], + [ + 2222, + 8642 + ], + [ + 221, + 10848 + ], + [ + 536, + 3504 + ], + [ + 1716, + 3586 + ], + [ + 6039, + 10142 + ], + [ + 8811, + 10442 + ], + [ + 6724, + 7212 + ], + [ + 3326, + 10799 + ], + [ + 5041, + 8007 + ], + [ + 10519, + 10643 + ], + [ + 3640, + 6236 + ], + [ + 2117, + 11450 + ], + [ + 308, + 7410 + ], + [ + 5999, + 11093 + ], + [ + 1228, + 5875 + ], + [ + 1250, + 8108 + ], + [ + 4498, + 7206 + ], + [ + 1045, + 4670 + ], + [ + 6671, + 9456 + ], + [ + 107, + 6373 + ], + [ + 6834, + 11140 + ], + [ + 6913, + 9743 + ], + [ + 4583, + 6755 + ], + [ + 2752, + 7652 + ], + [ + 1871, + 9889 + ], + [ + 7571, + 10652 + ], + [ + 4142, + 9264 + ], + [ + 5520, + 7833 + ], + [ + 4553, + 8044 + ], + [ + 8880, + 11336 + ], + [ + 3708, + 5774 + ], + [ + 125, + 3919 + ], + [ + 1621, + 10091 + ], + [ + 2397, + 6148 + ], + [ + 1772, + 10260 + ], + [ + 2890, + 9464 + ], + [ + 2898, + 7827 + ], + [ + 6781, + 6941 + ], + [ + 2758, + 10476 + ], + [ + 6501, + 8055 + ], + [ + 5649, + 8778 + ], + [ + 236, + 11455 + ], + [ + 4119, + 4153 + ], + [ + 5022, + 5647 + ], + [ + 142, + 4623 + ], + [ + 6792, + 7480 + ], + [ + 3815, + 7125 + ], + [ + 3709, + 9358 + ], + [ + 259, + 2175 + ], + [ + 561, + 6677 + ], + [ + 5636, + 7388 + ], + [ + 1152, + 6364 + ], + [ + 1333, + 2992 + ], + [ + 2114, + 2803 + ], + [ + 8192, + 10130 + ], + [ + 5935, + 8209 + ], + [ + 2237, + 7340 + ], + [ + 5043, + 10257 + ], + [ + 6748, + 6777 + ], + [ + 9514, + 10295 + ], + [ + 3470, + 8187 + ], + [ + 6561, + 7301 + ], + [ + 3970, + 6258 + ], + [ + 9078, + 10115 + ], + [ + 986, + 11148 + ], + [ + 417, + 2360 + ], + [ + 7201, + 7661 + ], + [ + 2192, + 10199 + ], + [ + 1633, + 2099 + ], + [ + 6714, + 8297 + ], + [ + 3438, + 6397 + ], + [ + 6247, + 8831 + ], + [ + 1047, + 6139 + ], + [ + 9223, + 9715 + ], + [ + 1291, + 8751 + ], + [ + 1162, + 10815 + ], + [ + 668, + 3110 + ], + [ + 636, + 7736 + ], + [ + 1875, + 5769 + ], + [ + 3652, + 8019 + ], + [ + 200, + 4173 + ], + [ + 938, + 8074 + ], + [ + 8961, + 10654 + ], + [ + 6070, + 10073 + ], + [ + 867, + 9362 + ], + [ + 1624, + 5369 + ], + [ + 1123, + 7073 + ], + [ + 4669, + 9800 + ], + [ + 7258, + 7764 + ], + [ + 2955, + 9784 + ], + [ + 9426, + 10424 + ], + [ + 548, + 4132 + ], + [ + 7249, + 10684 + ], + [ + 7968, + 9617 + ], + [ + 7938, + 10906 + ], + [ + 712, + 3008 + ], + [ + 8805, + 10491 + ], + [ + 3105, + 3312 + ], + [ + 7297, + 10351 + ], + [ + 4867, + 10165 + ], + [ + 9349, + 10362 + ], + [ + 5529, + 8564 + ], + [ + 2318, + 8567 + ], + [ + 855, + 11580 + ], + [ + 4088, + 9646 + ], + [ + 2434, + 9681 + ], + [ + 355, + 10476 + ], + [ + 1651, + 6037 + ], + [ + 7224, + 11162 + ], + [ + 6532, + 7636 + ], + [ + 8407, + 8509 + ], + [ + 2059, + 10154 + ], + [ + 3, + 6237 + ], + [ + 2303, + 10514 + ], + [ + 3053, + 5350 + ], + [ + 1463, + 7090 + ], + [ + 4071, + 11520 + ], + [ + 3608, + 9544 + ], + [ + 5845, + 10089 + ], + [ + 6927, + 7384 + ], + [ + 5373, + 10279 + ], + [ + 1956, + 3990 + ], + [ + 1859, + 10473 + ], + [ + 6530, + 7159 + ], + [ + 738, + 6807 + ], + [ + 8879, + 11328 + ], + [ + 3655, + 9740 + ], + [ + 8080, + 9403 + ], + [ + 3130, + 6886 + ], + [ + 10098, + 10584 + ], + [ + 4015, + 7050 + ], + [ + 7196, + 9090 + ], + [ + 3422, + 9919 + ], + [ + 841, + 9564 + ], + [ + 6660, + 8329 + ], + [ + 6107, + 7591 + ], + [ + 1315, + 2250 + ], + [ + 126, + 10750 + ], + [ + 4670, + 6163 + ], + [ + 3119, + 9329 + ], + [ + 4604, + 7795 + ], + [ + 1889, + 4242 + ], + [ + 1157, + 4293 + ], + [ + 832, + 8697 + ], + [ + 8175, + 11518 + ], + [ + 4813, + 4936 + ], + [ + 9699, + 9912 + ], + [ + 4759, + 8083 + ], + [ + 9074, + 9860 + ], + [ + 667, + 10323 + ], + [ + 2510, + 10160 + ], + [ + 2937, + 3057 + ], + [ + 3136, + 6650 + ], + [ + 3779, + 6527 + ], + [ + 7767, + 10353 + ], + [ + 7573, + 10487 + ], + [ + 3117, + 5095 + ], + [ + 1025, + 1521 + ], + [ + 5955, + 6015 + ], + [ + 1461, + 10719 + ], + [ + 248, + 8245 + ], + [ + 10115, + 10887 + ], + [ + 3215, + 11265 + ], + [ + 6257, + 10517 + ], + [ + 2988, + 6378 + ], + [ + 8249, + 10477 + ], + [ + 1143, + 2681 + ], + [ + 3577, + 9402 + ], + [ + 2885, + 8128 + ], + [ + 1933, + 10125 + ], + [ + 2955, + 7369 + ], + [ + 6815, + 11195 + ], + [ + 4687, + 5712 + ], + [ + 5805, + 11332 + ], + [ + 1204, + 6717 + ], + [ + 9289, + 10929 + ], + [ + 1047, + 2569 + ], + [ + 5623, + 6565 + ], + [ + 640, + 1656 + ], + [ + 8143, + 8896 + ], + [ + 3193, + 6379 + ], + [ + 2914, + 6964 + ], + [ + 1968, + 8806 + ], + [ + 1508, + 7101 + ], + [ + 2005, + 7153 + ], + [ + 2469, + 9731 + ], + [ + 2345, + 7975 + ], + [ + 6765, + 7294 + ], + [ + 3019, + 10171 + ], + [ + 104, + 10694 + ], + [ + 1095, + 5619 + ], + [ + 1803, + 6645 + ], + [ + 6073, + 7151 + ], + [ + 8579, + 11304 + ], + [ + 833, + 7312 + ], + [ + 29, + 11459 + ], + [ + 215, + 2015 + ], + [ + 6925, + 11339 + ], + [ + 987, + 11162 + ], + [ + 4543, + 8161 + ], + [ + 1668, + 7359 + ], + [ + 5594, + 10307 + ], + [ + 2796, + 11415 + ], + [ + 3546, + 6251 + ], + [ + 79, + 1373 + ], + [ + 459, + 1594 + ], + [ + 2410, + 7215 + ], + [ + 6183, + 6915 + ], + [ + 4744, + 11076 + ], + [ + 10470, + 10808 + ], + [ + 1356, + 2519 + ], + [ + 1724, + 7641 + ], + [ + 2536, + 7519 + ], + [ + 253, + 6629 + ], + [ + 7671, + 9035 + ], + [ + 7855, + 10842 + ], + [ + 10558, + 10628 + ], + [ + 2624, + 6585 + ], + [ + 2656, + 4588 + ], + [ + 4767, + 6714 + ], + [ + 3963, + 10861 + ], + [ + 8464, + 8856 + ], + [ + 372, + 10643 + ], + [ + 7373, + 8065 + ], + [ + 5046, + 8758 + ], + [ + 1157, + 11327 + ], + [ + 5233, + 10836 + ], + [ + 8215, + 9283 + ], + [ + 4504, + 4799 + ], + [ + 6656, + 8424 + ], + [ + 3987, + 5970 + ], + [ + 4357, + 4749 + ], + [ + 5009, + 9630 + ], + [ + 4004, + 9357 + ], + [ + 7711, + 11443 + ], + [ + 6868, + 10000 + ], + [ + 4041, + 6206 + ], + [ + 858, + 1087 + ], + [ + 3786, + 4933 + ], + [ + 5244, + 11375 + ], + [ + 1574, + 6892 + ], + [ + 982, + 9232 + ], + [ + 638, + 2252 + ], + [ + 3850, + 5857 + ], + [ + 3972, + 7540 + ], + [ + 1914, + 6960 + ], + [ + 3430, + 6991 + ], + [ + 8815, + 9436 + ], + [ + 2212, + 9808 + ], + [ + 4483, + 9183 + ], + [ + 2654, + 3737 + ], + [ + 7325, + 7593 + ], + [ + 4295, + 9132 + ], + [ + 291, + 5527 + ], + [ + 9674, + 11008 + ], + [ + 7315, + 9534 + ], + [ + 2523, + 8357 + ], + [ + 3330, + 3727 + ], + [ + 814, + 4521 + ], + [ + 437, + 1565 + ], + [ + 51, + 7945 + ], + [ + 3103, + 10137 + ], + [ + 4037, + 10944 + ], + [ + 7588, + 8353 + ], + [ + 3331, + 9964 + ], + [ + 2043, + 2243 + ], + [ + 24, + 3089 + ], + [ + 2515, + 11098 + ], + [ + 2971, + 11149 + ], + [ + 4789, + 9990 + ], + [ + 3502, + 11539 + ], + [ + 1358, + 4769 + ], + [ + 1982, + 7602 + ], + [ + 8052, + 10150 + ], + [ + 4910, + 11448 + ], + [ + 223, + 2925 + ], + [ + 9441, + 11537 + ], + [ + 1540, + 9886 + ], + [ + 4926, + 8948 + ], + [ + 282, + 9921 + ], + [ + 1218, + 7391 + ], + [ + 3300, + 3861 + ], + [ + 7637, + 7841 + ], + [ + 3344, + 10549 + ], + [ + 3549, + 6817 + ], + [ + 3647, + 8106 + ], + [ + 595, + 8166 + ], + [ + 8782, + 9622 + ], + [ + 5358, + 7824 + ], + [ + 1151, + 9552 + ], + [ + 2398, + 8604 + ], + [ + 2307, + 2824 + ], + [ + 6038, + 10966 + ], + [ + 1088, + 2033 + ], + [ + 652, + 4886 + ], + [ + 779, + 11077 + ], + [ + 8920, + 11434 + ], + [ + 3158, + 6787 + ], + [ + 979, + 10384 + ], + [ + 6154, + 9047 + ], + [ + 1362, + 3706 + ], + [ + 2035, + 6458 + ], + [ + 2403, + 5164 + ], + [ + 6208, + 9283 + ], + [ + 2283, + 9943 + ], + [ + 294, + 7248 + ], + [ + 9137, + 10321 + ], + [ + 6298, + 11428 + ], + [ + 5740, + 10346 + ], + [ + 8725, + 9064 + ], + [ + 7326, + 9618 + ], + [ + 8091, + 11178 + ], + [ + 7571, + 8668 + ], + [ + 4861, + 9596 + ], + [ + 121, + 10861 + ], + [ + 5660, + 8488 + ], + [ + 5250, + 10310 + ], + [ + 4871, + 7281 + ], + [ + 4721, + 9966 + ], + [ + 7959, + 8376 + ], + [ + 5779, + 9119 + ], + [ + 1101, + 4846 + ], + [ + 3685, + 8882 + ], + [ + 5589, + 6743 + ], + [ + 5778, + 8894 + ], + [ + 2473, + 2846 + ], + [ + 4240, + 6660 + ], + [ + 7142, + 9285 + ], + [ + 222, + 11293 + ], + [ + 330, + 1936 + ], + [ + 2966, + 6162 + ], + [ + 561, + 4343 + ], + [ + 882, + 6613 + ], + [ + 5198, + 5582 + ], + [ + 3183, + 8082 + ], + [ + 7563, + 10254 + ], + [ + 1306, + 11263 + ], + [ + 1903, + 2851 + ], + [ + 5793, + 10306 + ], + [ + 9606, + 10933 + ], + [ + 6250, + 7549 + ], + [ + 558, + 10811 + ], + [ + 10821, + 11201 + ], + [ + 2791, + 6696 + ], + [ + 1180, + 9811 + ], + [ + 3162, + 9083 + ], + [ + 6400, + 7493 + ], + [ + 6806, + 8181 + ], + [ + 1145, + 10756 + ], + [ + 1331, + 3564 + ], + [ + 8077, + 8381 + ], + [ + 1198, + 10390 + ], + [ + 5121, + 6651 + ], + [ + 1234, + 10047 + ], + [ + 5752, + 9901 + ], + [ + 2261, + 7635 + ], + [ + 710, + 10801 + ], + [ + 1724, + 3266 + ], + [ + 3404, + 7835 + ], + [ + 5458, + 8673 + ], + [ + 7975, + 11487 + ], + [ + 230, + 10349 + ], + [ + 5175, + 10270 + ], + [ + 4774, + 9926 + ], + [ + 3396, + 4941 + ], + [ + 1094, + 9636 + ], + [ + 968, + 4801 + ], + [ + 3734, + 9817 + ], + [ + 3168, + 11126 + ], + [ + 584, + 1428 + ], + [ + 9398, + 9425 + ], + [ + 1081, + 1480 + ], + [ + 767, + 10180 + ], + [ + 834, + 4986 + ], + [ + 2241, + 8457 + ], + [ + 8454, + 10559 + ], + [ + 2421, + 7112 + ], + [ + 7061, + 8649 + ], + [ + 2422, + 4304 + ], + [ + 460, + 5684 + ], + [ + 2162, + 2687 + ], + [ + 1513, + 8657 + ], + [ + 1974, + 2636 + ], + [ + 6855, + 7268 + ], + [ + 8479, + 9276 + ], + [ + 2844, + 8908 + ], + [ + 5337, + 6410 + ], + [ + 3744, + 10885 + ], + [ + 7916, + 10102 + ], + [ + 3475, + 5742 + ], + [ + 3564, + 9197 + ], + [ + 2602, + 6342 + ], + [ + 1335, + 2127 + ], + [ + 6915, + 7669 + ], + [ + 3178, + 8380 + ], + [ + 3052, + 9961 + ], + [ + 4724, + 7499 + ], + [ + 8151, + 8814 + ], + [ + 2666, + 9925 + ], + [ + 4419, + 7617 + ], + [ + 212, + 10843 + ], + [ + 824, + 3493 + ], + [ + 832, + 7518 + ], + [ + 3633, + 5927 + ], + [ + 964, + 9889 + ], + [ + 4383, + 10589 + ], + [ + 1699, + 2939 + ], + [ + 4620, + 10532 + ], + [ + 550, + 7805 + ], + [ + 6178, + 7002 + ], + [ + 3155, + 6302 + ], + [ + 7559, + 11504 + ], + [ + 5405, + 11216 + ], + [ + 5333, + 5486 + ], + [ + 2793, + 11548 + ], + [ + 9202, + 11310 + ], + [ + 3603, + 10599 + ], + [ + 2342, + 6953 + ], + [ + 922, + 6630 + ], + [ + 1543, + 2776 + ], + [ + 352, + 11203 + ], + [ + 4958, + 6740 + ], + [ + 3430, + 5194 + ], + [ + 933, + 3786 + ], + [ + 1063, + 9494 + ], + [ + 7539, + 10478 + ], + [ + 4917, + 10122 + ], + [ + 4920, + 9639 + ], + [ + 254, + 465 + ], + [ + 2247, + 4033 + ], + [ + 862, + 2041 + ], + [ + 8184, + 10401 + ], + [ + 5481, + 9117 + ], + [ + 219, + 11209 + ], + [ + 1031, + 6923 + ], + [ + 2669, + 8637 + ], + [ + 3412, + 6466 + ], + [ + 5466, + 7304 + ], + [ + 3379, + 4074 + ], + [ + 4996, + 8321 + ], + [ + 7463, + 7608 + ], + [ + 5663, + 7818 + ], + [ + 794, + 6229 + ], + [ + 1795, + 9012 + ], + [ + 6965, + 7331 + ], + [ + 1762, + 6620 + ], + [ + 2097, + 2180 + ], + [ + 194, + 5675 + ], + [ + 2745, + 7319 + ], + [ + 5112, + 8654 + ], + [ + 7333, + 8666 + ], + [ + 562, + 7010 + ], + [ + 598, + 6667 + ], + [ + 4827, + 9424 + ], + [ + 5892, + 9748 + ], + [ + 66, + 9812 + ], + [ + 1253, + 4649 + ], + [ + 780, + 1985 + ], + [ + 8930, + 10756 + ], + [ + 3892, + 8392 + ], + [ + 848, + 6815 + ], + [ + 755, + 4372 + ], + [ + 8783, + 11460 + ], + [ + 1549, + 4418 + ], + [ + 595, + 9752 + ], + [ + 4759, + 4944 + ], + [ + 3733, + 10964 + ], + [ + 1523, + 6580 + ], + [ + 1203, + 7164 + ], + [ + 5255, + 6279 + ], + [ + 1946, + 4993 + ], + [ + 490, + 9177 + ], + [ + 5130, + 10714 + ], + [ + 2601, + 6385 + ], + [ + 791, + 5907 + ], + [ + 6895, + 7285 + ], + [ + 4995, + 10297 + ], + [ + 2340, + 5297 + ], + [ + 1667, + 6709 + ], + [ + 2570, + 8203 + ], + [ + 5095, + 10878 + ], + [ + 3459, + 11519 + ], + [ + 3161, + 8644 + ], + [ + 3084, + 5980 + ], + [ + 4398, + 9260 + ], + [ + 509, + 9577 + ], + [ + 3750, + 5252 + ], + [ + 8409, + 11003 + ], + [ + 4610, + 10082 + ], + [ + 4419, + 11268 + ], + [ + 7409, + 9576 + ], + [ + 3400, + 4873 + ], + [ + 5208, + 5278 + ], + [ + 9468, + 10758 + ], + [ + 7123, + 8990 + ], + [ + 476, + 10568 + ], + [ + 11388, + 11404 + ], + [ + 4662, + 7239 + ], + [ + 5720, + 6392 + ], + [ + 8084, + 8210 + ], + [ + 2927, + 8598 + ], + [ + 864, + 3510 + ], + [ + 1304, + 7946 + ], + [ + 4139, + 4431 + ], + [ + 1023, + 7704 + ], + [ + 8805, + 11353 + ], + [ + 7277, + 9807 + ], + [ + 1305, + 4384 + ], + [ + 3251, + 3999 + ], + [ + 7146, + 11044 + ], + [ + 3317, + 11412 + ], + [ + 115, + 9249 + ], + [ + 8107, + 10264 + ], + [ + 3322, + 6094 + ], + [ + 4447, + 5715 + ], + [ + 6517, + 7086 + ], + [ + 6522, + 8184 + ], + [ + 5847, + 8769 + ], + [ + 1042, + 2469 + ], + [ + 3624, + 5678 + ], + [ + 487, + 8074 + ], + [ + 1108, + 10636 + ], + [ + 2528, + 3789 + ], + [ + 10106, + 10614 + ], + [ + 2570, + 7398 + ], + [ + 3117, + 7567 + ], + [ + 2181, + 10097 + ], + [ + 10162, + 10923 + ], + [ + 981, + 7828 + ], + [ + 3084, + 5175 + ], + [ + 6012, + 9021 + ], + [ + 5867, + 6388 + ], + [ + 4205, + 8060 + ], + [ + 8415, + 10767 + ], + [ + 8322, + 8324 + ], + [ + 2463, + 5996 + ], + [ + 2831, + 10364 + ], + [ + 3242, + 9898 + ], + [ + 7937, + 11142 + ], + [ + 2987, + 8625 + ], + [ + 3142, + 6284 + ], + [ + 2028, + 9451 + ], + [ + 239, + 3434 + ], + [ + 8937, + 9536 + ], + [ + 5066, + 7049 + ], + [ + 7832, + 10567 + ], + [ + 2978, + 10010 + ], + [ + 6089, + 7147 + ], + [ + 4540, + 11140 + ], + [ + 3042, + 5299 + ], + [ + 3255, + 6346 + ], + [ + 8029, + 11081 + ], + [ + 4197, + 7768 + ], + [ + 6487, + 11357 + ], + [ + 9045, + 10008 + ], + [ + 3656, + 10827 + ], + [ + 829, + 7033 + ], + [ + 3501, + 6752 + ], + [ + 796, + 4641 + ], + [ + 6623, + 7431 + ], + [ + 2377, + 3569 + ], + [ + 4921, + 10458 + ], + [ + 6232, + 7051 + ], + [ + 5650, + 10079 + ], + [ + 3862, + 7670 + ], + [ + 603, + 8383 + ], + [ + 8158, + 8643 + ], + [ + 1991, + 9168 + ], + [ + 4140, + 6860 + ], + [ + 136, + 2501 + ], + [ + 1404, + 9600 + ], + [ + 8680, + 11199 + ], + [ + 1221, + 9893 + ], + [ + 1489, + 4985 + ], + [ + 3426, + 4484 + ], + [ + 5131, + 7420 + ], + [ + 2541, + 9985 + ], + [ + 1864, + 7491 + ], + [ + 2387, + 9518 + ], + [ + 367, + 1094 + ], + [ + 1153, + 2003 + ], + [ + 4138, + 6383 + ], + [ + 4191, + 9427 + ], + [ + 2820, + 6367 + ], + [ + 2107, + 10632 + ], + [ + 4686, + 9406 + ], + [ + 5844, + 9921 + ], + [ + 4651, + 11105 + ], + [ + 3408, + 5756 + ], + [ + 574, + 11371 + ], + [ + 4627, + 9176 + ], + [ + 706, + 910 + ], + [ + 10095, + 11124 + ], + [ + 759, + 10370 + ], + [ + 1597, + 11469 + ], + [ + 74, + 10267 + ], + [ + 2560, + 7352 + ], + [ + 4184, + 8606 + ], + [ + 3315, + 6696 + ], + [ + 3864, + 6938 + ], + [ + 287, + 4898 + ], + [ + 7998, + 10589 + ], + [ + 4584, + 9479 + ], + [ + 5957, + 7704 + ], + [ + 6227, + 11537 + ], + [ + 501, + 8799 + ], + [ + 6915, + 8905 + ], + [ + 1750, + 5268 + ], + [ + 8935, + 10913 + ], + [ + 9031, + 11375 + ], + [ + 877, + 5114 + ], + [ + 2250, + 3339 + ], + [ + 8252, + 10856 + ], + [ + 1616, + 5453 + ], + [ + 5287, + 7128 + ], + [ + 3707, + 9556 + ], + [ + 9462, + 10780 + ], + [ + 8340, + 9922 + ], + [ + 799, + 6362 + ], + [ + 952, + 3194 + ], + [ + 4596, + 6456 + ], + [ + 6342, + 10147 + ], + [ + 8465, + 8870 + ], + [ + 3873, + 10033 + ], + [ + 3007, + 7640 + ], + [ + 3969, + 4079 + ], + [ + 8455, + 11565 + ], + [ + 1292, + 6645 + ], + [ + 2663, + 4043 + ], + [ + 4676, + 11296 + ], + [ + 3970, + 10316 + ], + [ + 104, + 8173 + ], + [ + 1747, + 7979 + ], + [ + 1946, + 11572 + ], + [ + 263, + 5951 + ], + [ + 8597, + 10867 + ], + [ + 4142, + 8329 + ], + [ + 1961, + 2431 + ], + [ + 1926, + 9792 + ], + [ + 5761, + 6206 + ], + [ + 2175, + 6332 + ], + [ + 9083, + 9979 + ], + [ + 2366, + 3648 + ], + [ + 399, + 11100 + ], + [ + 9017, + 9359 + ], + [ + 4787, + 9383 + ], + [ + 4842, + 9090 + ], + [ + 1759, + 1923 + ], + [ + 203, + 11161 + ], + [ + 6333, + 11508 + ], + [ + 3025, + 4408 + ], + [ + 9108, + 11325 + ], + [ + 1352, + 6645 + ], + [ + 1345, + 5474 + ], + [ + 7881, + 10673 + ], + [ + 4948, + 5702 + ], + [ + 3031, + 5327 + ], + [ + 6629, + 8244 + ], + [ + 2859, + 5809 + ], + [ + 9555, + 11263 + ], + [ + 185, + 3011 + ], + [ + 939, + 4382 + ], + [ + 3236, + 4978 + ], + [ + 6875, + 8650 + ], + [ + 2975, + 3890 + ], + [ + 712, + 2878 + ], + [ + 4347, + 10558 + ], + [ + 400, + 7487 + ], + [ + 6491, + 7906 + ], + [ + 801, + 1415 + ], + [ + 4376, + 9798 + ], + [ + 3854, + 10625 + ], + [ + 4035, + 7253 + ], + [ + 3625, + 10573 + ], + [ + 113, + 1014 + ], + [ + 4208, + 4737 + ], + [ + 2132, + 9213 + ], + [ + 3596, + 9054 + ], + [ + 1536, + 7647 + ], + [ + 5746, + 10354 + ], + [ + 3176, + 3772 + ], + [ + 4399, + 4682 + ], + [ + 5514, + 10785 + ], + [ + 6042, + 6740 + ], + [ + 1503, + 6009 + ], + [ + 5614, + 11366 + ], + [ + 1469, + 9808 + ], + [ + 404, + 3822 + ], + [ + 2836, + 9716 + ], + [ + 992, + 3992 + ], + [ + 5942, + 6509 + ], + [ + 5329, + 7972 + ], + [ + 2423, + 5605 + ], + [ + 1301, + 4747 + ], + [ + 251, + 6209 + ], + [ + 7379, + 11320 + ], + [ + 903, + 8084 + ], + [ + 5259, + 9862 + ], + [ + 9118, + 11588 + ], + [ + 835, + 8889 + ], + [ + 1425, + 10640 + ], + [ + 763, + 907 + ], + [ + 6751, + 8718 + ], + [ + 3129, + 6935 + ], + [ + 3659, + 3717 + ], + [ + 2910, + 8325 + ], + [ + 3947, + 5847 + ], + [ + 6400, + 11120 + ], + [ + 3090, + 6980 + ], + [ + 920, + 5405 + ], + [ + 4410, + 11206 + ], + [ + 4646, + 7541 + ], + [ + 2118, + 10230 + ], + [ + 2252, + 7012 + ], + [ + 4215, + 8486 + ], + [ + 2785, + 9727 + ], + [ + 3991, + 8778 + ], + [ + 5261, + 5370 + ], + [ + 5708, + 6813 + ], + [ + 902, + 3294 + ], + [ + 5666, + 6587 + ], + [ + 0, + 11070 + ], + [ + 1557, + 4686 + ], + [ + 1935, + 8244 + ], + [ + 9125, + 10823 + ], + [ + 4577, + 11504 + ], + [ + 7065, + 9416 + ], + [ + 2051, + 5194 + ], + [ + 564, + 10065 + ], + [ + 4843, + 9933 + ], + [ + 8743, + 10906 + ], + [ + 6150, + 9790 + ], + [ + 7682, + 11455 + ], + [ + 8725, + 9576 + ], + [ + 700, + 5415 + ], + [ + 4098, + 5992 + ], + [ + 1085, + 5980 + ], + [ + 2060, + 2654 + ], + [ + 1412, + 7314 + ], + [ + 5307, + 8697 + ], + [ + 6984, + 7333 + ], + [ + 3191, + 9610 + ], + [ + 1224, + 11400 + ], + [ + 808, + 2854 + ], + [ + 2123, + 6736 + ], + [ + 4972, + 7845 + ], + [ + 4571, + 7501 + ], + [ + 125, + 2797 + ], + [ + 10054, + 10481 + ], + [ + 7841, + 8078 + ], + [ + 4639, + 5915 + ], + [ + 4470, + 10078 + ], + [ + 20, + 7884 + ], + [ + 273, + 6078 + ], + [ + 3883, + 9729 + ], + [ + 2732, + 8133 + ], + [ + 3749, + 7285 + ], + [ + 7209, + 8740 + ], + [ + 3260, + 10504 + ], + [ + 3039, + 8815 + ], + [ + 3994, + 10499 + ], + [ + 6487, + 8755 + ], + [ + 702, + 11072 + ], + [ + 2065, + 2193 + ], + [ + 517, + 9040 + ], + [ + 3740, + 6418 + ], + [ + 5928, + 10454 + ], + [ + 2810, + 5730 + ], + [ + 134, + 9275 + ], + [ + 3706, + 10971 + ], + [ + 6672, + 11137 + ], + [ + 841, + 10857 + ], + [ + 3516, + 10093 + ], + [ + 2269, + 2373 + ], + [ + 6066, + 8883 + ], + [ + 899, + 8583 + ], + [ + 3915, + 8112 + ], + [ + 1156, + 9148 + ], + [ + 4081, + 7061 + ], + [ + 1359, + 9507 + ], + [ + 5760, + 8776 + ], + [ + 5161, + 9945 + ], + [ + 6372, + 9340 + ], + [ + 7251, + 10440 + ], + [ + 2726, + 2999 + ], + [ + 6841, + 8098 + ], + [ + 544, + 7079 + ], + [ + 1051, + 8573 + ], + [ + 8336, + 10635 + ], + [ + 10380, + 10785 + ], + [ + 5302, + 9022 + ], + [ + 6489, + 11029 + ], + [ + 4529, + 6820 + ], + [ + 4615, + 8092 + ], + [ + 9627, + 9989 + ], + [ + 4212, + 4669 + ], + [ + 3576, + 4458 + ], + [ + 3403, + 6193 + ], + [ + 8034, + 9896 + ], + [ + 9275, + 11385 + ], + [ + 466, + 1480 + ], + [ + 5531, + 7919 + ], + [ + 2857, + 7373 + ], + [ + 5324, + 10824 + ], + [ + 1391, + 6705 + ], + [ + 7122, + 7535 + ], + [ + 5711, + 6574 + ], + [ + 391, + 5278 + ], + [ + 6777, + 9752 + ], + [ + 11032, + 11478 + ], + [ + 1693, + 4791 + ], + [ + 6613, + 8597 + ], + [ + 4474, + 9341 + ], + [ + 5988, + 8545 + ], + [ + 5463, + 9855 + ], + [ + 8895, + 11514 + ], + [ + 6987, + 10501 + ], + [ + 131, + 628 + ], + [ + 5901, + 9300 + ], + [ + 10533, + 10976 + ], + [ + 2964, + 7620 + ], + [ + 16, + 6505 + ], + [ + 854, + 1188 + ], + [ + 2376, + 10833 + ], + [ + 2130, + 7394 + ], + [ + 3183, + 3951 + ], + [ + 4120, + 10691 + ], + [ + 6634, + 9824 + ], + [ + 4459, + 10911 + ], + [ + 2736, + 5891 + ], + [ + 738, + 1952 + ], + [ + 333, + 4118 + ], + [ + 9809, + 10514 + ], + [ + 2059, + 9032 + ], + [ + 10736, + 10904 + ], + [ + 4876, + 5722 + ], + [ + 1956, + 5901 + ], + [ + 4788, + 9285 + ], + [ + 7188, + 11514 + ], + [ + 10600, + 11043 + ], + [ + 9483, + 11283 + ], + [ + 2205, + 2441 + ], + [ + 11480, + 11587 + ], + [ + 10850, + 11191 + ], + [ + 10891, + 11192 + ], + [ + 867, + 10818 + ], + [ + 3140, + 6856 + ], + [ + 1423, + 2405 + ], + [ + 1077, + 8184 + ], + [ + 7338, + 11458 + ], + [ + 1408, + 4002 + ], + [ + 1416, + 11033 + ], + [ + 2481, + 4187 + ], + [ + 4840, + 5661 + ], + [ + 6176, + 10420 + ], + [ + 257, + 8041 + ], + [ + 9496, + 11114 + ], + [ + 4513, + 6205 + ], + [ + 3334, + 9731 + ], + [ + 7253, + 10754 + ], + [ + 5771, + 9553 + ], + [ + 2487, + 4382 + ], + [ + 5040, + 9105 + ], + [ + 2363, + 2626 + ], + [ + 2397, + 7872 + ], + [ + 188, + 9375 + ], + [ + 778, + 3956 + ], + [ + 6686, + 8428 + ], + [ + 5540, + 7176 + ], + [ + 9244, + 11243 + ], + [ + 992, + 8611 + ], + [ + 7468, + 9595 + ], + [ + 2265, + 8884 + ], + [ + 928, + 11070 + ], + [ + 2275, + 9572 + ], + [ + 839, + 10998 + ], + [ + 392, + 3139 + ], + [ + 1450, + 6456 + ], + [ + 4404, + 5107 + ], + [ + 859, + 5988 + ], + [ + 5341, + 6185 + ], + [ + 4692, + 5739 + ], + [ + 948, + 4525 + ], + [ + 5810, + 9107 + ], + [ + 1978, + 5794 + ], + [ + 1572, + 5106 + ], + [ + 6174, + 10323 + ], + [ + 2564, + 5137 + ], + [ + 1473, + 10762 + ], + [ + 8942, + 9750 + ], + [ + 1253, + 2128 + ], + [ + 1626, + 4588 + ], + [ + 2376, + 5840 + ], + [ + 3121, + 4496 + ], + [ + 2434, + 9982 + ], + [ + 3900, + 4234 + ], + [ + 3998, + 4769 + ], + [ + 1475, + 8556 + ], + [ + 9401, + 11203 + ], + [ + 9440, + 11131 + ], + [ + 992, + 10839 + ], + [ + 1690, + 8895 + ], + [ + 1867, + 3869 + ], + [ + 9077, + 11264 + ], + [ + 6152, + 11099 + ], + [ + 6344, + 7105 + ], + [ + 2043, + 3536 + ], + [ + 313, + 10901 + ], + [ + 797, + 6584 + ], + [ + 6779, + 11197 + ], + [ + 3293, + 8521 + ], + [ + 2352, + 4291 + ], + [ + 149, + 3330 + ], + [ + 897, + 7919 + ], + [ + 6205, + 7700 + ], + [ + 2664, + 5317 + ], + [ + 2354, + 10753 + ], + [ + 331, + 2812 + ], + [ + 3260, + 9512 + ], + [ + 2665, + 5919 + ], + [ + 3411, + 9681 + ], + [ + 2227, + 5693 + ], + [ + 4594, + 7782 + ], + [ + 1727, + 11005 + ], + [ + 2847, + 11036 + ], + [ + 4366, + 8332 + ], + [ + 593, + 2216 + ], + [ + 536, + 5846 + ], + [ + 619, + 1185 + ], + [ + 2750, + 11103 + ], + [ + 319, + 1647 + ], + [ + 163, + 353 + ], + [ + 5412, + 9353 + ], + [ + 7292, + 9072 + ], + [ + 4200, + 9733 + ], + [ + 1922, + 6935 + ], + [ + 3606, + 8994 + ], + [ + 7463, + 9893 + ], + [ + 3199, + 11087 + ], + [ + 3856, + 6890 + ], + [ + 52, + 5625 + ], + [ + 4977, + 9775 + ], + [ + 1543, + 7289 + ], + [ + 3566, + 9568 + ], + [ + 1260, + 11138 + ], + [ + 737, + 2695 + ], + [ + 787, + 2058 + ], + [ + 138, + 3864 + ], + [ + 4403, + 10442 + ], + [ + 7204, + 8851 + ], + [ + 2254, + 6334 + ], + [ + 14, + 6272 + ], + [ + 1254, + 10569 + ], + [ + 4557, + 7876 + ], + [ + 11, + 5974 + ], + [ + 3006, + 11042 + ], + [ + 1416, + 8618 + ], + [ + 845, + 9583 + ], + [ + 6822, + 8934 + ], + [ + 8775, + 9720 + ], + [ + 2676, + 7905 + ], + [ + 4828, + 11530 + ], + [ + 1132, + 5826 + ], + [ + 8589, + 9715 + ], + [ + 7345, + 7928 + ], + [ + 3890, + 10981 + ], + [ + 5763, + 9529 + ], + [ + 7248, + 7995 + ], + [ + 6657, + 7527 + ], + [ + 6531, + 8354 + ], + [ + 1369, + 8398 + ], + [ + 645, + 1951 + ], + [ + 614, + 2638 + ], + [ + 1080, + 1879 + ], + [ + 140, + 6919 + ], + [ + 6399, + 10120 + ], + [ + 3699, + 8353 + ], + [ + 3035, + 8373 + ], + [ + 5251, + 8041 + ], + [ + 3902, + 7958 + ], + [ + 5433, + 9775 + ], + [ + 3700, + 11207 + ], + [ + 2787, + 9025 + ], + [ + 7308, + 8396 + ], + [ + 2224, + 3435 + ], + [ + 6623, + 8293 + ], + [ + 6520, + 11578 + ], + [ + 4005, + 8810 + ], + [ + 856, + 8937 + ], + [ + 2616, + 9328 + ], + [ + 9876, + 11148 + ], + [ + 5111, + 7630 + ], + [ + 10266, + 10579 + ], + [ + 5942, + 7558 + ], + [ + 2843, + 5520 + ], + [ + 407, + 2136 + ], + [ + 2545, + 7583 + ], + [ + 7352, + 8294 + ], + [ + 4050, + 8179 + ], + [ + 1963, + 4949 + ], + [ + 745, + 1377 + ], + [ + 7654, + 8632 + ], + [ + 1489, + 9230 + ], + [ + 4816, + 10341 + ], + [ + 2978, + 10067 + ], + [ + 2362, + 5597 + ], + [ + 6969, + 11158 + ], + [ + 1761, + 3687 + ], + [ + 4911, + 6414 + ], + [ + 1981, + 5905 + ], + [ + 4104, + 5382 + ], + [ + 5907, + 8853 + ], + [ + 1862, + 10909 + ], + [ + 2911, + 5812 + ], + [ + 6545, + 8386 + ], + [ + 8112, + 9860 + ], + [ + 3501, + 6809 + ], + [ + 8354, + 9393 + ], + [ + 2056, + 10401 + ], + [ + 4738, + 10808 + ], + [ + 406, + 756 + ], + [ + 5209, + 10393 + ], + [ + 3335, + 8210 + ], + [ + 8593, + 8628 + ], + [ + 2161, + 11326 + ], + [ + 2347, + 4134 + ], + [ + 344, + 9677 + ], + [ + 3124, + 7209 + ], + [ + 1837, + 8758 + ], + [ + 8755, + 10087 + ], + [ + 498, + 695 + ], + [ + 7839, + 9859 + ], + [ + 3675, + 8251 + ], + [ + 5566, + 7405 + ], + [ + 7563, + 7709 + ], + [ + 239, + 2686 + ], + [ + 56, + 3733 + ], + [ + 3049, + 7974 + ], + [ + 298, + 9682 + ], + [ + 4410, + 4684 + ], + [ + 7436, + 9065 + ], + [ + 2290, + 9642 + ], + [ + 301, + 2783 + ], + [ + 4845, + 8776 + ], + [ + 299, + 6120 + ], + [ + 4344, + 10480 + ], + [ + 3943, + 10136 + ], + [ + 4934, + 7313 + ], + [ + 7124, + 8012 + ], + [ + 18, + 10796 + ], + [ + 8615, + 9676 + ], + [ + 6242, + 10024 + ], + [ + 2653, + 4217 + ], + [ + 7267, + 10949 + ], + [ + 7736, + 9707 + ], + [ + 4026, + 8077 + ], + [ + 1999, + 9062 + ], + [ + 6173, + 9106 + ], + [ + 4117, + 7441 + ], + [ + 9194, + 9733 + ], + [ + 4547, + 7025 + ], + [ + 8072, + 8875 + ], + [ + 1531, + 10125 + ], + [ + 9994, + 10725 + ], + [ + 11078, + 11099 + ], + [ + 778, + 8575 + ], + [ + 1645, + 3996 + ], + [ + 8393, + 10394 + ], + [ + 769, + 7331 + ], + [ + 4036, + 8391 + ], + [ + 3788, + 4125 + ], + [ + 902, + 10304 + ], + [ + 9610, + 10735 + ], + [ + 1819, + 9252 + ], + [ + 3475, + 9263 + ], + [ + 3757, + 5943 + ], + [ + 2909, + 4156 + ], + [ + 3406, + 4962 + ], + [ + 2750, + 9761 + ], + [ + 5711, + 9583 + ], + [ + 3598, + 11548 + ], + [ + 2973, + 11496 + ], + [ + 1791, + 4171 + ], + [ + 6266, + 7361 + ], + [ + 8, + 7768 + ], + [ + 2069, + 9777 + ], + [ + 5621, + 10040 + ], + [ + 281, + 952 + ], + [ + 8725, + 10170 + ], + [ + 4108, + 8802 + ], + [ + 3736, + 6944 + ], + [ + 905, + 6414 + ], + [ + 7343, + 11078 + ], + [ + 2616, + 10296 + ], + [ + 6377, + 10733 + ], + [ + 5508, + 8069 + ], + [ + 460, + 5017 + ], + [ + 6654, + 7069 + ], + [ + 6344, + 8341 + ], + [ + 1640, + 9263 + ], + [ + 10418, + 11187 + ], + [ + 1832, + 9433 + ], + [ + 3472, + 5558 + ], + [ + 2668, + 3289 + ], + [ + 9199, + 11150 + ], + [ + 2263, + 5455 + ], + [ + 4625, + 11364 + ], + [ + 5895, + 7956 + ], + [ + 724, + 3750 + ], + [ + 1604, + 9956 + ], + [ + 2134, + 6738 + ], + [ + 2783, + 4932 + ], + [ + 10853, + 11465 + ], + [ + 478, + 10110 + ], + [ + 4903, + 9773 + ], + [ + 9872, + 10088 + ], + [ + 5362, + 7843 + ], + [ + 2874, + 7679 + ], + [ + 2559, + 8607 + ], + [ + 4216, + 6591 + ], + [ + 1525, + 8350 + ], + [ + 2710, + 8776 + ], + [ + 623, + 9710 + ], + [ + 2742, + 5281 + ], + [ + 5192, + 6119 + ], + [ + 1551, + 6538 + ], + [ + 2932, + 11040 + ], + [ + 4391, + 8285 + ], + [ + 7529, + 9497 + ], + [ + 8747, + 10063 + ], + [ + 3661, + 4275 + ], + [ + 3953, + 8059 + ], + [ + 2547, + 7442 + ], + [ + 1745, + 6754 + ], + [ + 1554, + 3022 + ], + [ + 1829, + 11363 + ], + [ + 1421, + 7596 + ], + [ + 8803, + 10345 + ], + [ + 2237, + 9845 + ], + [ + 4066, + 8875 + ], + [ + 2161, + 4373 + ], + [ + 2911, + 5625 + ], + [ + 7854, + 11135 + ], + [ + 9232, + 9704 + ], + [ + 7823, + 9570 + ], + [ + 8948, + 9945 + ], + [ + 3377, + 4866 + ], + [ + 2542, + 7448 + ], + [ + 417, + 1482 + ], + [ + 3775, + 11328 + ], + [ + 4921, + 10328 + ], + [ + 1275, + 3233 + ], + [ + 5118, + 10842 + ], + [ + 3181, + 4173 + ], + [ + 3680, + 5806 + ], + [ + 3585, + 8952 + ], + [ + 4364, + 7936 + ], + [ + 4923, + 9620 + ], + [ + 9255, + 11004 + ], + [ + 3674, + 10872 + ], + [ + 1427, + 9639 + ], + [ + 2122, + 4768 + ], + [ + 2979, + 10081 + ], + [ + 2055, + 3546 + ], + [ + 5694, + 6464 + ], + [ + 716, + 8315 + ], + [ + 88, + 4582 + ], + [ + 3458, + 9527 + ], + [ + 2135, + 8413 + ], + [ + 6661, + 8882 + ], + [ + 10233, + 10578 + ], + [ + 5904, + 7213 + ], + [ + 5136, + 11017 + ], + [ + 3858, + 3984 + ], + [ + 5155, + 8815 + ], + [ + 965, + 8238 + ], + [ + 10633, + 11451 + ], + [ + 5585, + 8399 + ], + [ + 2957, + 8198 + ], + [ + 961, + 5086 + ], + [ + 333, + 5517 + ], + [ + 7805, + 10438 + ], + [ + 11031, + 11497 + ], + [ + 6702, + 8132 + ], + [ + 9539, + 9608 + ], + [ + 2543, + 6868 + ], + [ + 1349, + 10860 + ], + [ + 4568, + 9220 + ], + [ + 7794, + 10279 + ], + [ + 4962, + 6141 + ], + [ + 2308, + 6247 + ], + [ + 1690, + 7366 + ], + [ + 9291, + 9479 + ], + [ + 4210, + 9697 + ], + [ + 696, + 3475 + ], + [ + 2308, + 9630 + ], + [ + 2750, + 10729 + ], + [ + 9097, + 9613 + ], + [ + 95, + 1565 + ], + [ + 504, + 6688 + ], + [ + 5008, + 8364 + ], + [ + 4767, + 6023 + ], + [ + 3302, + 8209 + ], + [ + 9236, + 10896 + ], + [ + 6655, + 11295 + ], + [ + 1765, + 8829 + ], + [ + 5136, + 10212 + ], + [ + 1569, + 8136 + ], + [ + 1381, + 8839 + ], + [ + 483, + 1273 + ], + [ + 2348, + 5622 + ], + [ + 2219, + 3522 + ], + [ + 5343, + 11444 + ], + [ + 4863, + 7609 + ], + [ + 6210, + 6865 + ], + [ + 2915, + 7921 + ], + [ + 9229, + 10075 + ], + [ + 7080, + 10131 + ], + [ + 2216, + 3224 + ], + [ + 4524, + 11526 + ], + [ + 4806, + 10458 + ], + [ + 2559, + 9225 + ], + [ + 945, + 6407 + ], + [ + 6134, + 11192 + ], + [ + 1158, + 7454 + ], + [ + 8501, + 10275 + ], + [ + 342, + 3670 + ], + [ + 371, + 9326 + ], + [ + 1343, + 6453 + ], + [ + 6698, + 10187 + ], + [ + 2734, + 10919 + ], + [ + 3203, + 9677 + ], + [ + 1084, + 5411 + ], + [ + 6749, + 9371 + ], + [ + 3480, + 9396 + ], + [ + 3941, + 10545 + ], + [ + 1355, + 9846 + ], + [ + 801, + 2090 + ], + [ + 3695, + 7106 + ], + [ + 3724, + 5592 + ], + [ + 6272, + 9971 + ], + [ + 1261, + 9430 + ], + [ + 3498, + 3559 + ], + [ + 1765, + 4991 + ], + [ + 2479, + 10750 + ], + [ + 4867, + 10710 + ], + [ + 3314, + 10797 + ], + [ + 4453, + 8626 + ], + [ + 3742, + 9554 + ], + [ + 5524, + 5732 + ], + [ + 4330, + 9724 + ], + [ + 2181, + 9780 + ], + [ + 5429, + 8878 + ], + [ + 8569, + 10917 + ], + [ + 2152, + 4878 + ], + [ + 3992, + 6696 + ], + [ + 6323, + 6876 + ], + [ + 6199, + 8530 + ], + [ + 4354, + 11249 + ], + [ + 870, + 2984 + ], + [ + 10083, + 11252 + ], + [ + 5759, + 7477 + ], + [ + 3911, + 4263 + ], + [ + 2983, + 10818 + ], + [ + 4628, + 7287 + ], + [ + 493, + 6417 + ], + [ + 9049, + 9460 + ], + [ + 1150, + 2220 + ], + [ + 1571, + 10386 + ], + [ + 7558, + 11179 + ], + [ + 1416, + 2901 + ], + [ + 2047, + 10315 + ], + [ + 9444, + 9989 + ], + [ + 7428, + 8854 + ], + [ + 270, + 11448 + ], + [ + 3004, + 5629 + ], + [ + 6455, + 11502 + ], + [ + 1541, + 5232 + ], + [ + 223, + 10878 + ], + [ + 2635, + 3288 + ], + [ + 4149, + 7410 + ], + [ + 4496, + 10901 + ], + [ + 10129, + 10442 + ], + [ + 1469, + 6295 + ], + [ + 879, + 3046 + ], + [ + 6109, + 7832 + ], + [ + 10180, + 10380 + ], + [ + 4731, + 6230 + ], + [ + 182, + 4811 + ], + [ + 5999, + 6913 + ], + [ + 2549, + 10310 + ], + [ + 9586, + 9641 + ], + [ + 4732, + 9838 + ], + [ + 1315, + 9211 + ], + [ + 6721, + 10281 + ], + [ + 3330, + 4459 + ], + [ + 1157, + 1455 + ], + [ + 0, + 8712 + ], + [ + 6029, + 8253 + ], + [ + 6870, + 8869 + ], + [ + 487, + 2414 + ], + [ + 8743, + 11581 + ], + [ + 5252, + 8561 + ], + [ + 3033, + 3714 + ], + [ + 637, + 2358 + ], + [ + 7496, + 9496 + ], + [ + 6623, + 9342 + ], + [ + 8703, + 11401 + ], + [ + 6647, + 7484 + ], + [ + 3784, + 4787 + ], + [ + 2263, + 3658 + ], + [ + 72, + 3488 + ], + [ + 2840, + 5921 + ], + [ + 40, + 4704 + ], + [ + 2219, + 10906 + ], + [ + 9657, + 10581 + ], + [ + 3464, + 9131 + ], + [ + 6439, + 9413 + ], + [ + 625, + 10992 + ], + [ + 5635, + 11308 + ], + [ + 7748, + 9343 + ], + [ + 160, + 6691 + ], + [ + 714, + 3113 + ], + [ + 5602, + 8916 + ], + [ + 686, + 5983 + ], + [ + 472, + 6963 + ], + [ + 6561, + 7309 + ], + [ + 4042, + 8586 + ], + [ + 3548, + 5045 + ], + [ + 2735, + 5696 + ], + [ + 3829, + 10922 + ], + [ + 1083, + 5804 + ], + [ + 2571, + 10203 + ], + [ + 6019, + 10143 + ], + [ + 10850, + 11248 + ], + [ + 387, + 624 + ], + [ + 1510, + 10752 + ], + [ + 1911, + 5434 + ], + [ + 2936, + 8611 + ], + [ + 1729, + 9335 + ], + [ + 6706, + 7259 + ], + [ + 8106, + 9559 + ], + [ + 2034, + 6938 + ], + [ + 2213, + 8401 + ], + [ + 7517, + 9918 + ], + [ + 2717, + 3962 + ], + [ + 26, + 5721 + ], + [ + 1738, + 3412 + ], + [ + 32, + 2503 + ], + [ + 3855, + 4572 + ], + [ + 7, + 11306 + ], + [ + 36, + 9792 + ], + [ + 3739, + 4589 + ], + [ + 843, + 5162 + ], + [ + 7899, + 8707 + ], + [ + 583, + 9961 + ], + [ + 6001, + 8382 + ], + [ + 2145, + 4675 + ], + [ + 3827, + 10071 + ], + [ + 897, + 5398 + ], + [ + 2767, + 10091 + ], + [ + 7283, + 9872 + ], + [ + 5442, + 10081 + ], + [ + 8109, + 9456 + ], + [ + 3816, + 11410 + ], + [ + 2021, + 5548 + ], + [ + 2790, + 4598 + ], + [ + 3849, + 10769 + ], + [ + 7832, + 7835 + ], + [ + 5924, + 6068 + ], + [ + 83, + 9207 + ], + [ + 1969, + 8017 + ], + [ + 1530, + 11353 + ], + [ + 922, + 6744 + ], + [ + 4923, + 10051 + ], + [ + 1778, + 2006 + ], + [ + 3713, + 7848 + ], + [ + 4988, + 8948 + ], + [ + 2689, + 7525 + ], + [ + 4479, + 6627 + ], + [ + 7262, + 7840 + ], + [ + 10240, + 11049 + ], + [ + 6919, + 10884 + ], + [ + 8306, + 8815 + ], + [ + 2148, + 4168 + ], + [ + 1329, + 7283 + ], + [ + 4699, + 5812 + ], + [ + 5077, + 10868 + ], + [ + 960, + 4942 + ], + [ + 1361, + 6040 + ], + [ + 4479, + 6977 + ], + [ + 3887, + 9317 + ], + [ + 958, + 5246 + ], + [ + 7988, + 10576 + ], + [ + 240, + 2751 + ], + [ + 1911, + 10240 + ], + [ + 7231, + 11536 + ], + [ + 5806, + 10869 + ], + [ + 7289, + 8508 + ], + [ + 6664, + 9210 + ], + [ + 4590, + 10349 + ], + [ + 9103, + 9859 + ], + [ + 660, + 10665 + ], + [ + 409, + 6882 + ], + [ + 125, + 707 + ], + [ + 5355, + 9657 + ], + [ + 2206, + 9784 + ], + [ + 8190, + 11060 + ], + [ + 5317, + 6921 + ], + [ + 3143, + 10862 + ], + [ + 1623, + 6925 + ], + [ + 7925, + 8318 + ], + [ + 1075, + 8813 + ], + [ + 7423, + 10551 + ], + [ + 3536, + 7531 + ], + [ + 79, + 9757 + ], + [ + 5769, + 10586 + ], + [ + 8755, + 11404 + ], + [ + 326, + 3972 + ], + [ + 830, + 5195 + ], + [ + 6296, + 6316 + ], + [ + 2008, + 9368 + ], + [ + 518, + 4142 + ], + [ + 1543, + 10729 + ], + [ + 538, + 4794 + ], + [ + 856, + 3383 + ], + [ + 2191, + 5288 + ], + [ + 2230, + 10878 + ], + [ + 379, + 10399 + ], + [ + 1597, + 10965 + ], + [ + 1024, + 4687 + ], + [ + 2405, + 2773 + ], + [ + 1861, + 2151 + ], + [ + 5852, + 9658 + ], + [ + 1329, + 2290 + ], + [ + 9709, + 9803 + ], + [ + 5170, + 9072 + ], + [ + 2393, + 4641 + ], + [ + 9775, + 11554 + ], + [ + 718, + 3799 + ], + [ + 5783, + 10992 + ], + [ + 5975, + 11162 + ], + [ + 6211, + 6743 + ], + [ + 3358, + 4734 + ], + [ + 1538, + 2814 + ], + [ + 4719, + 7106 + ], + [ + 2384, + 10190 + ], + [ + 304, + 1715 + ], + [ + 8798, + 11050 + ], + [ + 5966, + 6912 + ], + [ + 6334, + 11280 + ], + [ + 2146, + 11530 + ], + [ + 327, + 386 + ], + [ + 6025, + 7492 + ], + [ + 493, + 8003 + ], + [ + 6424, + 11173 + ], + [ + 165, + 2310 + ], + [ + 4564, + 7168 + ], + [ + 5186, + 6922 + ], + [ + 3656, + 8713 + ], + [ + 160, + 5349 + ], + [ + 2477, + 7321 + ], + [ + 1940, + 7116 + ], + [ + 1790, + 10555 + ], + [ + 682, + 7151 + ], + [ + 3204, + 3893 + ], + [ + 7102, + 10455 + ] + ] + ], + "output": [ + [ + 1610, + 8643, + 9093, + 11368, + 11289, + 11432 + ], + [ + 0, + 10942, + 11588, + 11585, + 11586, + 0 + ], + [ + 0, + 0, + 11590, + 11589, + 10481, + 0 + ], + [ + 0, + 0, + 11347, + 10320, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 0, + 0, + 0, + 0, + 0 + ] + ] + } + ], + "haskell_template": "constructGridLayout :: Int -> [[Int]] -> [[Int]]\nconstructGridLayout n edges ", + "ocaml_template": "let constructGridLayout (n: int) (edges: int list list) : int list list = ", + "scala_template": "def constructGridLayout(n: Int,edges: List[List[Int]]): List[List[Int]] = { \n \n}", + "java_template": "class Solution {\n public int[][] constructGridLayout(int n, int[][] edges) {\n \n }\n}", + "python_template": "class Solution(object):\n def constructGridLayout(self, n, edges):\n \"\"\"\n :type n: int\n :type edges: List[List[int]]\n :rtype: List[List[int]]\n \"\"\"\n " +} \ No newline at end of file diff --git a/construct_2d_grid_matching_graph_layout/ocaml_tests/main.ml b/construct_2d_grid_matching_graph_layout/ocaml_tests/main.ml new file mode 100644 index 0000000000000000000000000000000000000000..89fd81a984e74a98a9ee4bbfbc3d59b9ad3e4c8d --- /dev/null +++ b/construct_2d_grid_matching_graph_layout/ocaml_tests/main.ml @@ -0,0 +1,32 @@ + +module Main = struct + open OUnit2 + + (* Program start *) + + (* Program end *) + + (* Test cases *) + +let test1 _ = assert_equal [[3;1];[2;0]] (constructGridLayout 4 [[0;1];[0;2];[1;3];[2;3]]) + +let test2 _ = assert_equal [[4;2;3;1;0]] (constructGridLayout 5 [[0;1];[1;3];[2;3];[2;4]]) + +let test3 _ = assert_equal [[8;6;3];[7;4;2];[1;0;5]] (constructGridLayout 9 [[0;1];[0;4];[0;5];[1;7];[2;3];[2;4];[2;5];[3;6];[4;6];[4;7];[6;8];[7;8]]) + +let test4 _ = assert_equal [[1610;8643;9093;11368;11289;11432];[0;10942;11588;11585;11586;0];[0;0;11590;11589;10481;0];[0;0;11347;10320;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0];[0;0;0;0;0;0]] (constructGridLayout 11591 [[1238; 8537]; [4450; 5726]; [341; 10241]; [4445; 5382]; [4722; 7353]; [9424; 9768]; [2695; 8338]; [2242; 7804]; [4943; 6009]; [2300; 4776]; [3354; 6439]; [448; 10488]; [1725; 7470]; [1004; 5458]; [4997; 9628]; [6882; 11219]; [5021; 11153]; [3524; 8139]; [7163; 11057]; [3044; 10720]; [1717; 7178]; [2039; 2533]; [2642; 3735]; [3154; 5603]; [330; 7742]; [743; 3939]; [2725; 8873]; [1725; 3282]; [6991; 8479]; [1225; 6342]; [860; 1491]; [5249; 5661]; [1670; 6958]; [1593; 5048]; [9512; 11412]; [8447; 11088]; [6; 5551]; [2657; 5147]; [3777; 5178]; [4022; 10644]; [2341; 5850]; [8662; 9929]; [3698; 5070]; [10771; 11228]; [5332; 7766]; [8974; 10955]; [7066; 9188]; [245; 8169]; [5441; 7709]; [4224; 7745]; [4569; 11163]; [4774; 5933]; [7184; 8096]; [3379; 9612]; [6118; 10553]; [1881; 7154]; [6695; 10564]; [3472; 6770]; [3589; 7355]; [106; 2698]; [4889; 6041]; [6363; 10734]; [1943; 4999]; [2529; 11512]; [3900; 8910]; [5015; 7843]; [3205; 7365]; [629; 8108]; [3949; 8048]; [3054; 4163]; [6158; 6545]; [1374; 5229]; [832; 11096]; [149; 1240]; [1683; 6738]; [680; 876]; [1853; 3951]; [2599; 5461]; [5967; 9579]; [577; 1128]; [6710; 7408]; [2510; 6143]; [8958; 11495]; [4588; 11539]; [10997; 11301]; [10596; 10957]; [5080; 5585]; [2350; 11523]; [3797; 7253]; [6921; 8759]; [4829; 5185]; [1971; 2078]; [2181; 3608]; [5646; 7659]; [135; 379]; [4737; 5596]; [2808; 3706]; [5925; 10457]; [8342; 8903]; [365; 1780]; [1553; 6641]; [8614; 10530]; [4682; 7767]; [573; 5866]; [294; 6451]; [4502; 8331]; [1947; 6945]; [1513; 10625]; [3565; 10636]; [328; 8664]; [1901; 3567]; [7492; 10022]; [539; 9638]; [1198; 2104]; [5118; 10899]; [354; 436]; [6670; 10587]; [1912; 10492]; [599; 4404]; [6595; 7969]; [2987; 4364]; [2997; 5052]; [5414; 10668]; [438; 2766]; [99; 3300]; [1372; 9989]; [1365; 8818]; [4236; 9878]; [6474; 6861]; [9027; 11584]; [3578; 8188]; [9457; 11168]; [1761; 5785]; [8589; 11358]; [6280; 9247]; [5494; 9092]; [1237; 10703]; [1832; 7880]; [6550; 10828]; [203; 6282]; [387; 1673]; [5175; 10278]; [6207; 8210]; [3375; 4072]; [5923; 8451]; [4739; 6715]; [704; 7207]; [5802; 10376]; [4432; 9416]; [6550; 7795]; [2346; 9040]; [4265; 4580]; [999; 4122]; [937; 3244]; [73; 924]; [10525; 10635]; [5456; 5952]; [91; 749]; [4136; 5109]; [1069; 8244]; [589; 5163]; [26; 10153]; [3265; 11417]; [5975; 8210]; [6940; 10582]; [1990; 8065]; [1491; 6432]; [1897; 5622]; [4378; 8025]; [1093; 3353]; [2853; 10914]; [921; 4589]; [7148; 8252]; [3447; 7866]; [28; 7166]; [2860; 4134]; [6215; 8047]; [1428; 9466]; [10946; 11200]; [5246; 8185]; [5251; 8529]; [5143; 9935]; [1751; 4642]; [1405; 10421]; [1535; 9713]; [9470; 10194]; [633; 11073]; [4931; 9463]; [3241; 9087]; [1058; 3897]; [6968; 8442]; [1037; 9436]; [90; 6889]; [1308; 7455]; [3918; 6296]; [3833; 10130]; [1987; 9995]; [4537; 8031]; [318; 2552]; [4545; 6394]; [87; 175]; [3132; 4606]; [1544; 3009]; [4071; 6511]; [8044; 8551]; [0; 930]; [6957; 10131]; [8103; 9131]; [2196; 4103]; [4658; 7210]; [8071; 10347]; [9643; 11411]; [5173; 7841]; [2101; 4216]; [757; 9395]; [2746; 4920]; [330; 2912]; [8038; 11338]; [5196; 6512]; [5481; 9125]; [30; 9066]; [2433; 3642]; [4797; 5460]; [659; 5073]; [7159; 11369]; [10459; 10657]; [5044; 6091]; [7012; 7155]; [1742; 5222]; [288; 6823]; [625; 9626]; [1233; 1403]; [281; 9816]; [7526; 9096]; [8374; 10883]; [3300; 6610]; [2734; 3755]; [9588; 10549]; [2849; 8431]; [1425; 11372]; [5372; 8027]; [552; 11218]; [3700; 6702]; [1607; 9319]; [506; 7840]; [473; 5448]; [49; 3400]; [2031; 8334]; [7913; 11585]; [3426; 3874]; [537; 6372]; [3215; 9289]; [1431; 3616]; [7043; 9450]; [7313; 11031]; [2803; 8032]; [695; 10341]; [10141; 11263]; [3895; 6015]; [373; 7846]; [1434; 10680]; [1890; 11485]; [9357; 10400]; [2242; 9658]; [3820; 4151]; [4379; 5835]; [7276; 8116]; [932; 6497]; [4168; 11250]; [4133; 5779]; [4370; 11384]; [2128; 10495]; [7206; 9225]; [3412; 9402]; [2813; 8319]; [972; 7774]; [970; 11111]; [8005; 10369]; [1040; 6188]; [8010; 10713]; [6291; 9599]; [1602; 11553]; [9129; 10519]; [4888; 7001]; [4275; 8464]; [37; 4463]; [570; 11342]; [1083; 5511]; [1334; 9294]; [3108; 7863]; [10836; 11249]; [1519; 8293]; [22; 6060]; [2869; 4814]; [3636; 7201]; [3476; 9952]; [5666; 9897]; [396; 1548]; [5939; 8743]; [6801; 10236]; [5403; 7982]; [4587; 9116]; [4750; 10046]; [5751; 8665]; [3946; 8531]; [4030; 6724]; [301; 11460]; [7455; 9124]; [228; 3253]; [8624; 11299]; [135; 810]; [2588; 8335]; [1165; 4331]; [63; 11295]; [3396; 4307]; [379; 6805]; [1329; 8145]; [1812; 11497]; [1218; 10758]; [5237; 9733]; [616; 5994]; [1017; 6338]; [7249; 11099]; [5250; 7716]; [1168; 9890]; [10264; 10403]; [4531; 7248]; [9294; 11070]; [5987; 10611]; [2406; 11081]; [5326; 8650]; [2753; 5904]; [4618; 6843]; [2006; 4923]; [5708; 8163]; [932; 6765]; [5911; 8522]; [5945; 7352]; [962; 2443]; [1027; 3592]; [7912; 8945]; [9935; 11224]; [6685; 10545]; [5564; 11043]; [2293; 6077]; [1013; 8797]; [2487; 7074]; [5773; 8184]; [9206; 11199]; [176; 7519]; [3882; 5997]; [4467; 8902]; [3565; 3846]; [1605; 6807]; [388; 9095]; [8913; 10573]; [5986; 9581]; [948; 7217]; [1905; 3312]; [1722; 4359]; [2739; 2757]; [3621; 10544]; [3366; 9271]; [878; 9861]; [9902; 11060]; [4711; 5448]; [4420; 8682]; [9117; 10753]; [86; 4219]; [7816; 8432]; [5631; 8077]; [7434; 8138]; [8554; 11579]; [1519; 2495]; [2463; 4744]; [844; 3080]; [1269; 2320]; [4758; 8677]; [8247; 10870]; [5759; 6542]; [4078; 8918]; [4699; 11480]; [1796; 10882]; [9027; 11210]; [1052; 7166]; [3973; 7589]; [790; 8886]; [5026; 6398]; [2908; 8019]; [4188; 5299]; [10349; 11375]; [2761; 10975]; [1765; 6284]; [1538; 7059]; [3095; 3681]; [4471; 5587]; [6962; 8678]; [5653; 6496]; [3414; 9288]; [4959; 8559]; [3066; 5572]; [6698; 10325]; [2477; 8183]; [5856; 9484]; [7065; 8806]; [1284; 9744]; [2903; 7244]; [6222; 10746]; [740; 1952]; [7159; 9572]; [275; 6319]; [10799; 11180]; [5078; 9540]; [2986; 5966]; [5288; 11070]; [1680; 6711]; [6279; 8247]; [5379; 6270]; [312; 3168]; [6309; 10341]; [3480; 9884]; [512; 2475]; [4570; 11204]; [6189; 8704]; [3262; 7712]; [7173; 8874]; [1970; 8917]; [304; 5155]; [3193; 3411]; [6954; 8012]; [5175; 9099]; [3380; 9653]; [3060; 10237]; [3939; 11337]; [3626; 6676]; [3055; 3477]; [1594; 3153]; [10007; 10806]; [1810; 7881]; [6445; 9074]; [1410; 3975]; [6043; 10757]; [4883; 5665]; [10112; 10226]; [4355; 8929]; [5074; 7862]; [626; 6495]; [192; 10175]; [3200; 3427]; [242; 9538]; [8461; 9778]; [9765; 10118]; [1728; 5196]; [2359; 8446]; [5096; 7062]; [7618; 9466]; [2415; 9509]; [7233; 8874]; [3074; 7610]; [319; 5412]; [415; 5120]; [2839; 7743]; [6479; 7099]; [2535; 3545]; [2902; 8442]; [474; 9083]; [469; 2323]; [7003; 9701]; [6998; 9357]; [4792; 8125]; [559; 10884]; [3174; 3653]; [8671; 10503]; [5911; 8685]; [4166; 8602]; [3192; 8396]; [7268; 7905]; [1972; 11167]; [358; 9847]; [11311; 11438]; [299; 6234]; [6744; 7905]; [4593; 7134]; [820; 5182]; [3775; 7441]; [2849; 8407]; [4237; 9192]; [1103; 11105]; [4553; 4702]; [2751; 4085]; [1650; 4858]; [5016; 5897]; [6824; 9712]; [6750; 11483]; [5048; 8064]; [8969; 10668]; [552; 9689]; [1087; 6815]; [8272; 8296]; [6255; 10723]; [2057; 3115]; [3741; 11590]; [7375; 10754]; [4610; 7838]; [3794; 8972]; [3137; 3747]; [4165; 4189]; [1538; 3489]; [3574; 3721]; [9725; 11361]; [859; 7338]; [3792; 5112]; [1452; 7852]; [5113; 8839]; [3633; 4301]; [2716; 11045]; [1095; 6302]; [7323; 10190]; [8818; 9344]; [2; 4684]; [9315; 10150]; [1908; 5624]; [1252; 10423]; [436; 10803]; [3027; 5430]; [1028; 2047]; [3142; 3690]; [1216; 11143]; [7477; 11007]; [4542; 5990]; [3981; 7643]; [8246; 9303]; [691; 2627]; [71; 9335]; [3698; 10738]; [2710; 6662]; [6287; 8702]; [5043; 6915]; [3517; 6196]; [5320; 5503]; [5543; 11402]; [2618; 7073]; [6751; 7116]; [9340; 11496]; [3425; 8859]; [4567; 10369]; [3132; 4850]; [2980; 5210]; [2820; 7961]; [2577; 10455]; [1639; 9906]; [1830; 7222]; [3354; 7114]; [1169; 7513]; [2069; 2320]; [2571; 3470]; [4159; 5821]; [1100; 2458]; [6332; 8071]; [9477; 10454]; [2562; 6390]; [2283; 6975]; [3747; 4564]; [1042; 8869]; [6243; 8753]; [7260; 11315]; [6117; 10334]; [2256; 5529]; [6824; 7752]; [1103; 6112]; [6700; 10160]; [9093; 10464]; [4769; 6689]; [4589; 11417]; [969; 6297]; [6916; 7691]; [474; 9701]; [2432; 10831]; [4426; 7454]; [6327; 7296]; [364; 5399]; [5193; 9087]; [5373; 7742]; [4036; 9928]; [3079; 5165]; [245; 6616]; [4665; 6689]; [5463; 7635]; [1695; 2617]; [10514; 10958]; [4936; 11124]; [886; 10584]; [7859; 8210]; [8173; 10063]; [2765; 5914]; [1845; 2561]; [6022; 8538]; [8386; 11110]; [2820; 10539]; [3291; 5206]; [762; 5795]; [450; 10404]; [4237; 9810]; [6394; 8117]; [2590; 3846]; [413; 4106]; [2302; 7351]; [8092; 10259]; [6325; 6445]; [160; 7797]; [4476; 6012]; [8058; 8396]; [1280; 10457]; [4632; 10689]; [4977; 6937]; [3033; 4015]; [3015; 9071]; [5025; 10391]; [1692; 7957]; [1203; 7766]; [9262; 10003]; [1111; 1761]; [2477; 5231]; [5876; 8662]; [2103; 6710]; [8662; 9449]; [1747; 5385]; [3935; 8667]; [5485; 8282]; [3069; 6274]; [10132; 10990]; [4177; 8954]; [5018; 9570]; [1007; 10456]; [787; 5986]; [4087; 6028]; [1351; 1598]; [9434; 11399]; [4272; 11443]; [4241; 9878]; [4580; 9344]; [2801; 10431]; [5703; 6640]; [588; 1612]; [335; 1166]; [7261; 10280]; [8596; 11431]; [2584; 8861]; [5233; 6876]; [3294; 4298]; [3981; 8611]; [5092; 10808]; [6212; 10839]; [8829; 10851]; [4525; 7728]; [762; 7218]; [2935; 5304]; [519; 7460]; [357; 9384]; [1262; 5289]; [2915; 8035]; [10007; 11237]; [255; 4943]; [3936; 5054]; [2771; 7532]; [5145; 10038]; [3925; 6393]; [10368; 11401]; [4394; 9315]; [8377; 8633]; [6295; 9911]; [1436; 9010]; [1715; 2009]; [5660; 9171]; [2080; 6079]; [834; 7629]; [5900; 11260]; [5587; 6599]; [4418; 10059]; [2580; 7533]; [765; 6711]; [5928; 10275]; [3839; 10382]; [7056; 7915]; [11154; 11155]; [2469; 3006]; [884; 7342]; [1066; 6824]; [2967; 7420]; [1346; 9093]; [7447; 10954]; [7385; 10076]; [845; 11551]; [5024; 7775]; [1910; 4705]; [9320; 9502]; [6075; 9921]; [3243; 5783]; [316; 11207]; [2527; 6367]; [2470; 9997]; [7723; 10071]; [34; 1695]; [438; 6474]; [5794; 7427]; [195; 6716]; [1876; 9258]; [3118; 3802]; [351; 7229]; [7599; 10944]; [687; 10561]; [1150; 5367]; [968; 10022]; [2026; 8421]; [1140; 3898]; [2611; 2658]; [484; 8697]; [7903; 9076]; [822; 8692]; [6496; 8988]; [8170; 9605]; [1575; 7209]; [4756; 9249]; [1791; 5521]; [7363; 7792]; [1346; 8288]; [2220; 4880]; [7414; 7757]; [3121; 4049]; [6789; 7705]; [4387; 9567]; [4829; 10666]; [2112; 7040]; [2177; 5183]; [3302; 5558]; [5480; 8906]; [4055; 10491]; [2902; 8068]; [22; 6922]; [1178; 2446]; [4727; 9608]; [61; 434]; [298; 6039]; [6593; 11149]; [5003; 7971]; [4683; 6303]; [4008; 6888]; [4634; 9794]; [1700; 8385]; [4965; 8618]; [3752; 6144]; [1324; 9037]; [605; 2934]; [1010; 10567]; [6423; 8644]; [2510; 4403]; [1414; 2514]; [3427; 9767]; [4712; 5139]; [104; 8775]; [8598; 10940]; [1407; 11142]; [6699; 10390]; [37; 4520]; [8899; 11053]; [1401; 4157]; [1862; 5306]; [745; 2540]; [2742; 10014]; [2386; 7935]; [8153; 10674]; [3170; 8017]; [2979; 9203]; [3947; 4676]; [76; 6353]; [2481; 4008]; [3047; 6863]; [9580; 11387]; [7364; 9467]; [8246; 10084]; [2726; 7976]; [463; 6210]; [70; 5757]; [4244; 5801]; [7545; 7943]; [255; 4756]; [1664; 2638]; [731; 4685]; [2226; 3839]; [1907; 11441]; [653; 8966]; [5513; 8557]; [1411; 7827]; [10652; 10973]; [5989; 8486]; [7840; 8241]; [7499; 7948]; [2547; 11020]; [503; 2202]; [840; 8011]; [5344; 9687]; [3539; 9553]; [361; 4778]; [9175; 9365]; [842; 11467]; [3906; 8034]; [1726; 2361]; [1178; 4219]; [5161; 7701]; [5593; 7358]; [6393; 7973]; [858; 2551]; [6991; 9585]; [3603; 7444]; [5456; 10278]; [857; 3080]; [1820; 11041]; [1256; 2597]; [1192; 11472]; [571; 8910]; [3184; 5016]; [4553; 5751]; [4678; 4699]; [5887; 9683]; [4982; 7362]; [3492; 6300]; [1532; 11513]; [4737; 5279]; [5203; 6772]; [530; 2843]; [4571; 9713]; [10802; 10866]; [207; 6539]; [4231; 10022]; [1795; 2474]; [4222; 8778]; [173; 11092]; [1207; 5687]; [4531; 9533]; [8483; 11450]; [9293; 9747]; [1115; 6098]; [4594; 7603]; [1669; 7438]; [1542; 5411]; [8926; 8987]; [7329; 11054]; [4409; 11233]; [856; 919]; [7328; 11583]; [9826; 10183]; [4618; 9128]; [922; 2670]; [4024; 8389]; [5230; 7440]; [5171; 10243]; [1377; 9666]; [7760; 8207]; [167; 6709]; [8566; 10522]; [6885; 7980]; [2623; 5083]; [9798; 10794]; [3338; 11444]; [537; 9625]; [3775; 8035]; [3727; 11027]; [1089; 3722]; [6808; 8699]; [9956; 10599]; [8281; 9757]; [1492; 1860]; [4568; 8610]; [2978; 5432]; [1866; 10180]; [982; 2320]; [235; 11165]; [333; 1874]; [8832; 10799]; [2946; 4396]; [2532; 8728]; [3657; 9103]; [14; 27]; [7015; 9500]; [1153; 9907]; [9002; 9116]; [2118; 10027]; [3645; 7938]; [6250; 6435]; [5859; 6779]; [5921; 7657]; [1050; 2989]; [9461; 9815]; [5316; 8257]; [2054; 8672]; [3658; 4386]; [7544; 7935]; [1546; 7707]; [6186; 9244]; [145; 1018]; [1072; 7824]; [6366; 7899]; [2914; 4053]; [1539; 9919]; [3994; 11101]; [8471; 10954]; [6270; 10820]; [2724; 8093]; [1530; 2636]; [3918; 9012]; [1306; 2928]; [6467; 9829]; [2578; 10146]; [6000; 11117]; [1065; 10386]; [3302; 3761]; [1244; 5433]; [4764; 6939]; [2758; 8801]; [642; 669]; [1760; 4037]; [1398; 9283]; [2040; 6306]; [6675; 7499]; [2514; 5408]; [4123; 6384]; [1452; 9519]; [6684; 8716]; [1541; 8810]; [77; 1799]; [3191; 4869]; [2069; 8175]; [395; 1142]; [4094; 7494]; [5923; 6524]; [8968; 10955]; [5642; 6282]; [8439; 11365]; [8139; 11073]; [963; 2538]; [1473; 7713]; [4424; 6847]; [243; 9796]; [465; 1507]; [4141; 9942]; [2460; 8154]; [3045; 8807]; [1434; 11168]; [6061; 8336]; [4168; 8355]; [2898; 5347]; [3940; 8905]; [1230; 6450]; [1147; 11111]; [2167; 7528]; [5118; 6662]; [7123; 10991]; [425; 4710]; [3749; 9310]; [1784; 11173]; [3816; 4116]; [3462; 9253]; [7641; 9641]; [1348; 10993]; [2470; 5435]; [6288; 6406]; [8354; 8759]; [1809; 9890]; [8161; 9118]; [3491; 11122]; [1132; 3232]; [72; 7416]; [158; 9442]; [5638; 7987]; [3953; 6457]; [375; 10608]; [6559; 7808]; [2928; 8915]; [2119; 11220]; [6126; 7926]; [9149; 9380]; [9794; 10084]; [4064; 10610]; [1237; 6816]; [3726; 7582]; [4075; 7736]; [3354; 7976]; [8884; 10802]; [78; 6830]; [7304; 9066]; [7731; 8379]; [1041; 6123]; [7673; 8374]; [2351; 6251]; [2685; 5373]; [7167; 9734]; [658; 6358]; [642; 5825]; [1846; 10465]; [3778; 10374]; [4342; 5986]; [2683; 5677]; [2089; 11354]; [2624; 8480]; [3730; 3917]; [5737; 11325]; [7845; 9016]; [4161; 6355]; [2; 5091]; [8933; 10263]; [3554; 11016]; [5072; 5458]; [8396; 10058]; [9526; 10777]; [8719; 8991]; [4564; 6745]; [3942; 10374]; [4845; 10370]; [3749; 4317]; [3098; 9460]; [59; 8227]; [9828; 11492]; [1972; 9614]; [4771; 10606]; [3215; 7012]; [1345; 2319]; [8380; 11403]; [2315; 2783]; [7271; 9252]; [2056; 11190]; [132; 9644]; [5448; 7034]; [3982; 6366]; [6162; 6377]; [895; 1709]; [4948; 5930]; [2893; 11283]; [467; 8587]; [6845; 9036]; [4018; 5242]; [6217; 9467]; [7347; 7934]; [5690; 9950]; [1710; 10903]; [2949; 5930]; [4819; 7213]; [430; 3043]; [6407; 6558]; [1426; 4728]; [1732; 1802]; [837; 4333]; [10205; 10260]; [8085; 10300]; [5783; 10114]; [3904; 6833]; [2192; 2726]; [762; 8885]; [3694; 3805]; [4624; 7122]; [1945; 6232]; [6177; 6254]; [3811; 7773]; [1352; 9101]; [7391; 9330]; [8177; 10239]; [1453; 9153]; [318; 3926]; [3721; 4847]; [9440; 10578]; [1878; 1977]; [6547; 8416]; [1475; 4970]; [2645; 4364]; [9038; 10009]; [3778; 8764]; [2035; 9508]; [3095; 5324]; [5854; 7671]; [3961; 11100]; [4022; 8343]; [6350; 8252]; [3614; 10992]; [9612; 11220]; [5407; 9611]; [6786; 11034]; [9513; 10460]; [1141; 1310]; [1639; 11386]; [2860; 11469]; [3574; 10812]; [1231; 3455]; [6838; 8191]; [2104; 6238]; [1173; 2696]; [4930; 9807]; [2471; 11135]; [1822; 10689]; [1447; 5150]; [227; 1505]; [3838; 4627]; [6945; 10690]; [3846; 9406]; [1132; 9461]; [2940; 6860]; [3489; 7856]; [1782; 4093]; [3580; 7220]; [498; 2907]; [3540; 4411]; [4197; 8882]; [3388; 10433]; [4291; 6265]; [4064; 7040]; [3955; 6316]; [371; 7269]; [1203; 10051]; [57; 8799]; [6492; 9782]; [7658; 10158]; [1180; 6095]; [7183; 7421]; [1046; 3651]; [3009; 4371]; [3045; 11198]; [4726; 8822]; [2764; 10956]; [1336; 6608]; [183; 4185]; [4665; 5136]; [2702; 3662]; [1234; 6331]; [3152; 3898]; [4177; 11239]; [763; 10129]; [4596; 9880]; [2906; 10258]; [1497; 10124]; [1512; 11156]; [5925; 7806]; [2152; 5854]; [5980; 7513]; [1904; 8004]; [2404; 6075]; [2999; 3252]; [5852; 6015]; [2152; 9237]; [5882; 7355]; [2269; 3406]; [7748; 8896]; [1091; 9786]; [1220; 1306]; [2092; 7651]; [10511; 10985]; [3357; 3899]; [10206; 10349]; [1185; 2251]; [555; 8271]; [6312; 10322]; [3314; 4202]; [7928; 10934]; [1920; 5854]; [1636; 6095]; [149; 4550]; [2475; 3632]; [8879; 9466]; [2683; 4335]; [3909; 4762]; [9638; 11181]; [2808; 3283]; [8724; 11026]; [5554; 11030]; [2586; 7785]; [5; 7430]; [3766; 7867]; [11152; 11516]; [2558; 5737]; [2401; 8005]; [2621; 3807]; [2589; 4269]; [9120; 11376]; [1126; 7282]; [5358; 7304]; [10518; 11351]; [3887; 6292]; [3830; 5758]; [3983; 6754]; [9294; 10216]; [2117; 8596]; [4259; 5117]; [3352; 6133]; [1136; 7219]; [1511; 6342]; [965; 9027]; [7978; 9492]; [8352; 11396]; [8190; 11068]; [10658; 10957]; [6458; 9692]; [1105; 5250]; [668; 5249]; [126; 4700]; [1000; 1292]; [2345; 3885]; [8716; 9579]; [5329; 11046]; [1993; 2679]; [1922; 10383]; [4043; 9033]; [3802; 10102]; [7024; 10261]; [2325; 11527]; [835; 5547]; [6158; 11278]; [10671; 10788]; [6738; 7423]; [4327; 5759]; [5246; 5534]; [4075; 8167]; [610; 7122]; [1171; 2463]; [6124; 9415]; [4560; 7458]; [3324; 9696]; [6524; 9534]; [2068; 4142]; [3444; 8300]; [2813; 5050]; [7114; 7121]; [4275; 8228]; [789; 5552]; [1596; 5086]; [2962; 8556]; [1203; 4603]; [410; 6687]; [2815; 4342]; [2624; 5528]; [3126; 6678]; [7109; 9406]; [3155; 11580]; [7766; 8215]; [1469; 8694]; [7487; 8800]; [6489; 10452]; [9557; 10171]; [1314; 5373]; [263; 3227]; [3340; 10579]; [726; 1416]; [2115; 3557]; [3727; 4050]; [4850; 7762]; [6410; 7311]; [342; 11225]; [4322; 4610]; [1013; 7488]; [4469; 7289]; [3044; 6622]; [2473; 7587]; [766; 10240]; [4465; 7547]; [855; 9531]; [5583; 6751]; [41; 6574]; [3654; 4861]; [173; 6693]; [1164; 3870]; [5209; 8230]; [3994; 11345]; [797; 2356]; [5797; 8400]; [6702; 7311]; [2130; 9850]; [3596; 4102]; [6972; 8892]; [950; 9768]; [4250; 9056]; [2617; 3552]; [6204; 6280]; [4676; 4734]; [4516; 7485]; [3683; 6730]; [3841; 8070]; [1036; 8007]; [4608; 9703]; [5723; 9390]; [444; 8095]; [5919; 7050]; [2428; 4030]; [719; 4358]; [4571; 10575]; [3327; 8788]; [3053; 3301]; [4018; 5673]; [2420; 3388]; [5635; 10674]; [8209; 9858]; [6091; 11479]; [1433; 8582]; [895; 5523]; [1122; 4748]; [4046; 11104]; [2735; 8095]; [5493; 6834]; [155; 10594]; [1824; 5205]; [2106; 8301]; [4186; 10360]; [5461; 8050]; [10452; 10568]; [1303; 9640]; [7790; 10813]; [3839; 10252]; [8264; 9915]; [2975; 7932]; [5115; 10796]; [6421; 7045]; [3752; 11007]; [6484; 11531]; [8414; 9859]; [358; 11303]; [4807; 9108]; [2242; 3624]; [2028; 8768]; [8101; 8581]; [5787; 6126]; [3617; 7557]; [4176; 9241]; [4362; 6213]; [95; 2972]; [35; 2921]; [1055; 11416]; [1781; 5858]; [7780; 9694]; [4234; 6967]; [2582; 7075]; [839; 3655]; [335; 5842]; [250; 4014]; [120; 1689]; [7425; 8190]; [5534; 6030]; [9259; 10974]; [2666; 2989]; [9145; 9906]; [11160; 11570]; [5525; 11202]; [1540; 11057]; [2672; 6187]; [2644; 10555]; [2820; 6839]; [8324; 9942]; [5686; 9807]; [6574; 10269]; [801; 1269]; [4925; 9894]; [5274; 10802]; [2991; 7660]; [1232; 10123]; [10222; 10240]; [5201; 9011]; [2586; 3410]; [176; 11016]; [1169; 9774]; [7289; 8679]; [4149; 7394]; [997; 3840]; [1435; 7449]; [5474; 7076]; [2205; 2937]; [811; 7999]; [3139; 3744]; [5950; 7005]; [3264; 9108]; [3050; 8590]; [309; 9451]; [4786; 10058]; [5271; 6343]; [326; 760]; [1366; 9133]; [2595; 3472]; [1194; 3199]; [4805; 4823]; [2974; 9884]; [1076; 8805]; [822; 11140]; [5490; 8309]; [5299; 10993]; [1913; 6269]; [6331; 8925]; [3963; 9617]; [9663; 11134]; [2499; 3360]; [9658; 10790]; [866; 4272]; [2004; 9016]; [273; 6387]; [1215; 7809]; [2299; 5931]; [4258; 9915]; [3848; 5321]; [49; 4400]; [7280; 11144]; [3006; 6732]; [6743; 6775]; [929; 1938]; [4461; 6487]; [2456; 6265]; [887; 1712]; [389; 3687]; [13; 10755]; [6243; 9054]; [9815; 10750]; [7795; 8742]; [8080; 11355]; [8753; 10697]; [1184; 5089]; [5953; 8726]; [474; 6619]; [6449; 10061]; [8751; 11001]; [2304; 8503]; [5568; 5882]; [898; 1470]; [1465; 7179]; [7155; 8008]; [1401; 9638]; [11193; 11197]; [5100; 6945]; [6631; 8762]; [8737; 9790]; [10364; 11315]; [6128; 7387]; [4634; 4671]; [2879; 10316]; [4102; 5564]; [1447; 9232]; [4468; 9105]; [2226; 8970]; [3043; 9192]; [2415; 9623]; [2136; 10208]; [9288; 9297]; [7168; 7839]; [2003; 4202]; [2498; 8345]; [6604; 9194]; [3090; 5224]; [8535; 11130]; [8788; 9324]; [2220; 8751]; [2246; 3556]; [1993; 9526]; [1112; 5347]; [2483; 2745]; [2713; 5651]; [7224; 11504]; [4726; 6488]; [7532; 9405]; [3924; 5800]; [3425; 4167]; [376; 2246]; [1031; 3638]; [1234; 3997]; [5652; 6653]; [3105; 5882]; [6859; 9312]; [5687; 9091]; [5274; 7232]; [2199; 9752]; [1853; 2699]; [6426; 9430]; [1081; 9767]; [410; 7118]; [7581; 9647]; [8690; 11017]; [1159; 8145]; [1441; 7077]; [4237; 9306]; [6857; 8835]; [4431; 6139]; [1067; 8556]; [7564; 11171]; [389; 5460]; [1275; 2843]; [4671; 9009]; [4304; 7495]; [5730; 11016]; [8285; 10150]; [1556; 8720]; [2365; 4163]; [8935; 11198]; [5110; 9056]; [1368; 9423]; [2648; 6703]; [7524; 10991]; [5046; 11515]; [6655; 8327]; [3570; 5995]; [4571; 8778]; [834; 5702]; [1333; 7335]; [3322; 3614]; [1481; 3069]; [8382; 9709]; [2317; 3341]; [4377; 8131]; [6087; 9159]; [323; 10101]; [2537; 8942]; [944; 2837]; [2038; 7309]; [3411; 5534]; [608; 7052]; [10159; 11178]; [8450; 11506]; [4718; 5391]; [224; 10095]; [6201; 9446]; [3030; 5842]; [6977; 9667]; [5182; 10221]; [11374; 11446]; [3838; 4066]; [3678; 6817]; [4667; 7331]; [6601; 7286]; [5570; 6546]; [2399; 2942]; [5317; 6100]; [1831; 3424]; [5936; 7835]; [5000; 10365]; [10111; 11487]; [3012; 4862]; [1487; 2833]; [368; 5656]; [6027; 11336]; [6778; 9026]; [6357; 6552]; [2659; 6437]; [6764; 10848]; [1607; 10482]; [3130; 5268]; [2321; 9825]; [1724; 5405]; [576; 9742]; [9566; 9859]; [5992; 11500]; [2933; 8137]; [7263; 8694]; [539; 4198]; [4126; 6926]; [5736; 10756]; [8687; 9890]; [7726; 9889]; [5355; 11064]; [5814; 9134]; [5232; 5746]; [2527; 3635]; [1615; 4307]; [4662; 9565]; [6511; 9971]; [5041; 5397]; [4002; 4796]; [3913; 11140]; [3844; 6839]; [4059; 4549]; [9322; 9475]; [4803; 5232]; [3065; 6320]; [852; 11087]; [4281; 6059]; [8904; 9901]; [8009; 8268]; [1851; 3621]; [7979; 10311]; [1620; 3496]; [6036; 9489]; [1024; 6094]; [2627; 9477]; [5325; 10417]; [4482; 6722]; [122; 7454]; [3865; 11449]; [4137; 9693]; [938; 10457]; [1590; 8168]; [563; 4918]; [1127; 6946]; [318; 10749]; [3038; 7506]; [3630; 5166]; [933; 7080]; [3763; 10391]; [458; 3589]; [1705; 9811]; [3102; 8430]; [4043; 6244]; [1698; 2224]; [992; 7660]; [7934; 10137]; [8613; 9671]; [1352; 4970]; [9323; 11524]; [5992; 6507]; [572; 7259]; [4307; 10639]; [411; 3369]; [2780; 6285]; [3812; 9879]; [1716; 8815]; [4116; 11044]; [4427; 8462]; [4957; 5244]; [3025; 3083]; [7324; 10743]; [7871; 10912]; [10087; 10580]; [4049; 6035]; [928; 8964]; [5816; 9849]; [3178; 9714]; [1268; 11284]; [1638; 4401]; [299; 5006]; [7592; 8464]; [1799; 5258]; [1833; 10504]; [556; 6325]; [1609; 8544]; [2137; 4499]; [3439; 10428]; [6111; 10147]; [669; 752]; [3072; 8914]; [2420; 4787]; [6860; 11174]; [4532; 9013]; [10139; 10339]; [2223; 7656]; [5712; 9849]; [5216; 5481]; [2031; 10115]; [3870; 9833]; [2163; 6070]; [1853; 5090]; [1277; 11346]; [1024; 4484]; [2773; 7692]; [4891; 10235]; [3945; 7913]; [3867; 6502]; [784; 4997]; [5939; 7946]; [2029; 10392]; [1766; 5094]; [1991; 7656]; [1562; 10926]; [7813; 10102]; [55; 8005]; [1460; 4233]; [300; 1393]; [5336; 6313]; [6619; 8028]; [819; 9313]; [3868; 8982]; [4991; 8530]; [1536; 11583]; [2248; 7847]; [99; 3739]; [6234; 10846]; [2810; 9048]; [494; 4268]; [564; 5007]; [696; 11542]; [5292; 6391]; [1842; 6378]; [6630; 7813]; [9931; 10709]; [251; 10145]; [1736; 8611]; [5638; 6247]; [5848; 7777]; [2579; 3638]; [965; 2318]; [9144; 10329]; [2800; 8710]; [2743; 8176]; [3163; 6318]; [3192; 5558]; [1075; 10033]; [491; 3566]; [4524; 6411]; [4224; 6119]; [2254; 10644]; [1108; 9392]; [5679; 8880]; [142; 9047]; [3031; 7303]; [954; 8925]; [4430; 5995]; [5368; 7675]; [289; 9474]; [796; 10968]; [1560; 9674]; [5307; 10405]; [6330; 10503]; [7078; 7922]; [2926; 2941]; [7812; 7917]; [5298; 9538]; [95; 2411]; [4356; 7335]; [6228; 6439]; [1249; 11071]; [5726; 10924]; [2509; 6975]; [2460; 11220]; [1056; 11430]; [3671; 10615]; [7964; 11290]; [3467; 10061]; [4463; 7582]; [224; 727]; [3840; 8357]; [1541; 7688]; [4034; 5190]; [820; 11338]; [1386; 10029]; [2217; 3541]; [4462; 8111]; [229; 10870]; [662; 6965]; [2783; 9779]; [1350; 5087]; [3686; 11273]; [1100; 10574]; [7507; 9509]; [7629; 11192]; [690; 5980]; [1120; 5564]; [3642; 4558]; [963; 7832]; [8194; 9658]; [813; 10517]; [7723; 8575]; [9089; 11291]; [1709; 2926]; [3274; 9235]; [2806; 7669]; [5127; 6407]; [4750; 9867]; [1546; 11041]; [3134; 6222]; [6905; 11511]; [2447; 5292]; [6440; 9462]; [1643; 7941]; [1571; 5621]; [6956; 8066]; [5526; 7055]; [6210; 9939]; [6709; 11572]; [577; 1730]; [1542; 4102]; [583; 11344]; [5462; 8733]; [950; 9825]; [1005; 9532]; [1375; 1895]; [5172; 9159]; [3090; 6273]; [4301; 5668]; [3389; 6340]; [10993; 11380]; [1652; 10282]; [6162; 6865]; [1282; 5087]; [1925; 5718]; [7623; 9818]; [6446; 9253]; [3607; 4698]; [2764; 3255]; [2519; 6834]; [2918; 7105]; [7630; 10208]; [4223; 10299]; [3036; 4882]; [8400; 9860]; [14; 4784]; [5273; 8056]; [1075; 1202]; [4428; 9950]; [1881; 2763]; [1137; 5463]; [2852; 9087]; [5648; 11316]; [2246; 6833]; [5050; 6671]; [6796; 9608]; [5053; 6188]; [373; 5252]; [1744; 9066]; [2152; 4919]; [814; 9132]; [4761; 5787]; [5727; 9515]; [1238; 1731]; [3737; 9601]; [0; 3142]; [2020; 5150]; [337; 5945]; [261; 473]; [7929; 10224]; [5121; 10644]; [6236; 10331]; [7516; 7611]; [7086; 8781]; [184; 9086]; [1331; 10940]; [5558; 10618]; [7490; 9773]; [1671; 6844]; [6578; 10445]; [3596; 5582]; [10430; 11000]; [2589; 9400]; [3709; 7179]; [6854; 9562]; [5238; 11579]; [3521; 3718]; [1621; 10140]; [504; 10380]; [4619; 9063]; [5221; 6687]; [7564; 8382]; [1091; 4663]; [5504; 9227]; [466; 11027]; [4728; 6754]; [1393; 4247]; [308; 6654]; [3381; 6717]; [736; 3159]; [3382; 3909]; [121; 10211]; [2783; 2826]; [537; 5201]; [5963; 7647]; [8105; 10584]; [1042; 10032]; [139; 2122]; [2004; 2307]; [261; 3051]; [5482; 10003]; [1442; 10905]; [3617; 5654]; [5891; 8710]; [654; 2753]; [4867; 9141]; [5610; 6970]; [1995; 7856]; [4295; 5717]; [1616; 4827]; [788; 9334]; [28; 3230]; [410; 3524]; [714; 6187]; [9843; 9846]; [5077; 9136]; [68; 10176]; [9402; 10103]; [1623; 9381]; [4414; 7102]; [334; 10103]; [2109; 11526]; [2699; 6107]; [8203; 9964]; [2298; 5763]; [7993; 9188]; [5647; 11359]; [7374; 10082]; [2378; 7220]; [3253; 6666]; [1766; 5875]; [1009; 9868]; [1408; 7133]; [2383; 10947]; [1977; 10259]; [3157; 10341]; [39; 9781]; [7795; 8799]; [1224; 10961]; [7850; 8506]; [2497; 4818]; [1709; 8000]; [1755; 8345]; [6519; 7474]; [4306; 5825]; [104; 7897]; [4056; 9060]; [2717; 10419]; [1783; 3196]; [1067; 7190]; [1564; 7996]; [3174; 7662]; [1555; 3746]; [2365; 2797]; [4390; 5149]; [1623; 8576]; [7008; 11021]; [1857; 4084]; [1179; 5152]; [4076; 9685]; [7591; 10847]; [2801; 6333]; [7904; 9092]; [578; 9658]; [361; 11121]; [6715; 7012]; [7935; 10657]; [4533; 11092]; [7158; 10965]; [10546; 10854]; [1759; 11096]; [1361; 10269]; [2378; 6415]; [299; 7210]; [4652; 5307]; [8571; 11248]; [4190; 11103]; [3725; 9054]; [4778; 7109]; [754; 1374]; [4556; 8982]; [1287; 8253]; [941; 1200]; [1961; 4033]; [3275; 11477]; [2898; 11527]; [9195; 10294]; [4176; 5728]; [3620; 7725]; [2221; 9033]; [2405; 4424]; [9182; 9308]; [99; 6748]; [6788; 8779]; [5606; 7870]; [9363; 10817]; [2401; 11071]; [710; 1425]; [2131; 2350]; [122; 8048]; [893; 3761]; [1323; 9761]; [4186; 6042]; [736; 10193]; [11449; 11543]; [420; 10896]; [3565; 6863]; [731; 9068]; [5435; 5894]; [11118; 11214]; [1362; 5902]; [5400; 9091]; [3459; 9096]; [3185; 4363]; [4864; 6078]; [9292; 9422]; [6293; 6864]; [6697; 10889]; [4209; 7315]; [508; 6929]; [8849; 8852]; [900; 3777]; [65; 6359]; [4382; 8963]; [10493; 11512]; [2921; 8639]; [5178; 10560]; [8124; 9350]; [3955; 9650]; [8929; 10309]; [3077; 9152]; [2368; 4491]; [7185; 10828]; [3303; 8152]; [6448; 10535]; [3164; 5364]; [1362; 11163]; [744; 10030]; [925; 1740]; [9859; 10593]; [5437; 10447]; [3164; 8747]; [3410; 5770]; [1140; 9249]; [3072; 9158]; [5185; 7193]; [1195; 6704]; [7609; 9816]; [6210; 10370]; [8199; 10813]; [9658; 10310]; [1977; 10877]; [5430; 11161]; [4714; 10991]; [1319; 8433]; [1324; 8777]; [127; 420]; [2526; 10338]; [1812; 5333]; [7574; 7728]; [2773; 10969]; [4588; 9539]; [5111; 11566]; [2685; 8870]; [4392; 5463]; [2801; 9984]; [1524; 5051]; [4846; 6572]; [3133; 9410]; [3081; 9220]; [3640; 10904]; [4941; 6809]; [3999; 4606]; [555; 5539]; [1042; 5657]; [9634; 10609]; [7428; 10131]; [6802; 10608]; [7079; 9196]; [5768; 9597]; [419; 3399]; [8469; 10808]; [7657; 8678]; [4424; 10612]; [7070; 11362]; [8732; 9690]; [3771; 8512]; [122; 1900]; [1164; 6936]; [5887; 10228]; [4736; 5222]; [9476; 10373]; [2936; 5432]; [4106; 8990]; [7600; 11527]; [6165; 10172]; [3894; 4381]; [2020; 8614]; [2873; 10745]; [9580; 9972]; [996; 8291]; [1462; 9784]; [2211; 5176]; [7186; 9443]; [461; 2470]; [6715; 6825]; [5056; 6516]; [4852; 5932]; [955; 8640]; [296; 3342]; [4910; 10074]; [4895; 9042]; [6088; 7077]; [8357; 9789]; [1810; 10093]; [9253; 10866]; [5557; 10824]; [163; 7135]; [3896; 9688]; [2924; 3139]; [5009; 6296]; [5019; 6984]; [7531; 9454]; [4549; 8755]; [1522; 4149]; [2862; 5644]; [1618; 3857]; [7758; 11308]; [716; 5217]; [4260; 7871]; [2270; 11367]; [6998; 9341]; [5974; 9018]; [2235; 6650]; [7737; 9680]; [2456; 7558]; [2597; 6285]; [2256; 10156]; [6868; 10399]; [6116; 8320]; [9256; 10359]; [3368; 9545]; [1014; 8415]; [4608; 7426]; [7326; 8244]; [5366; 7041]; [6448; 9998]; [4705; 10742]; [6195; 10306]; [63; 2716]; [9023; 10538]; [5814; 10614]; [9179; 10297]; [2431; 4653]; [7059; 8839]; [4612; 5266]; [4176; 8119]; [1179; 6388]; [7565; 10862]; [5574; 7340]; [1761; 8241]; [1854; 5022]; [6336; 9383]; [4252; 9834]; [637; 11474]; [114; 3031]; [707; 3545]; [2477; 7630]; [7422; 7551]; [2876; 11311]; [7306; 9820]; [4472; 11271]; [10540; 10740]; [1758; 11326]; [6178; 8393]; [944; 9123]; [3466; 11527]; [2315; 9931]; [3153; 6866]; [128; 9503]; [3211; 4592]; [5733; 6996]; [5327; 6308]; [4619; 10917]; [4834; 6375]; [187; 3667]; [2275; 3335]; [1316; 4915]; [3420; 11532]; [3630; 6646]; [10706; 11567]; [247; 685]; [30; 7066]; [524; 3437]; [1022; 7097]; [714; 2780]; [4919; 5143]; [4002; 5471]; [951; 8385]; [1331; 8606]; [23; 2862]; [1361; 10700]; [8491; 10222]; [3658; 4126]; [4007; 9198]; [5404; 7817]; [3074; 11245]; [956; 6450]; [4381; 11102]; [5305; 11221]; [3130; 5138]; [14; 1995]; [1436; 8026]; [1472; 7683]; [4705; 5749]; [8688; 9231]; [3593; 10497]; [2846; 9516]; [4632; 4712]; [3869; 8860]; [5266; 7479]; [371; 5423]; [8772; 11561]; [4293; 10127]; [6292; 11258]; [2118; 2546]; [4578; 11242]; [443; 10372]; [5106; 7197]; [2520; 6498]; [2430; 9988]; [3289; 5548]; [1927; 9367]; [280; 5655]; [8919; 11207]; [3566; 7519]; [1577; 4824]; [4866; 9615]; [2701; 11390]; [3339; 5261]; [5677; 5858]; [4180; 5877]; [3865; 10969]; [513; 11491]; [4434; 6925]; [2340; 6688]; [8009; 8138]; [9344; 10043]; [1937; 5517]; [6880; 11027]; [1283; 4727]; [283; 4798]; [1434; 4142]; [7421; 11351]; [5363; 10771]; [11020; 11460]; [8124; 9781]; [3574; 10389]; [1554; 1965]; [6786; 7578]; [9649; 11029]; [4066; 4435]; [11362; 11574]; [1266; 8880]; [5730; 8471]; [3380; 4107]; [978; 5969]; [427; 1894]; [1041; 3285]; [3410; 6201]; [1202; 4142]; [5677; 8086]; [3321; 10293]; [365; 10815]; [8603; 11105]; [921; 2402]; [971; 1765]; [2595; 3773]; [568; 594]; [6894; 11433]; [2730; 9825]; [69; 3125]; [225; 3638]; [8729; 10655]; [2196; 2721]; [5577; 7855]; [198; 9362]; [8914; 9654]; [7794; 10377]; [7632; 11547]; [10252; 11076]; [6300; 7661]; [5183; 7147]; [4019; 10981]; [4022; 4082]; [1396; 3984]; [7280; 8062]; [988; 2469]; [1459; 8470]; [2390; 5596]; [1529; 9963]; [2238; 8208]; [3205; 4991]; [8456; 10654]; [8678; 9535]; [963; 4856]; [2487; 8912]; [9073; 10064]; [678; 4872]; [419; 6863]; [4376; 11376]; [3034; 6048]; [5714; 9792]; [1698; 11088]; [7601; 8046]; [4798; 9564]; [969; 3516]; [194; 11067]; [9411; 9655]; [810; 9121]; [2059; 4836]; [3702; 11058]; [4571; 7306]; [4424; 8010]; [8785; 10132]; [4894; 9622]; [3798; 7733]; [3017; 7922]; [5596; 7450]; [5816; 8914]; [2272; 2850]; [6724; 11506]; [1493; 6495]; [433; 7269]; [8239; 11312]; [586; 7511]; [7019; 7667]; [5938; 7564]; [3598; 10304]; [246; 10826]; [1762; 10857]; [3161; 10303]; [3100; 10027]; [786; 7572]; [4471; 7425]; [8382; 8587]; [5090; 9160]; [1291; 1823]; [3058; 3385]; [1132; 7428]; [2355; 8338]; [3969; 9658]; [2384; 6824]; [3771; 4755]; [9008; 10712]; [4273; 10069]; [1589; 8835]; [4868; 7246]; [2934; 11428]; [4173; 6455]; [2471; 3036]; [10908; 11083]; [3522; 5182]; [2457; 4858]; [1650; 6078]; [3437; 9016]; [409; 1556]; [6823; 8078]; [8836; 8915]; [6857; 6908]; [6650; 9089]; [2887; 7825]; [1434; 11526]; [1584; 8841]; [2301; 6947]; [959; 8789]; [5909; 11306]; [2420; 2697]; [1356; 5227]; [2261; 8302]; [6901; 9839]; [2976; 9745]; [2606; 4550]; [5687; 9392]; [3073; 6645]; [5621; 11024]; [1256; 11412]; [115; 11258]; [3907; 4592]; [7451; 10656]; [4032; 9202]; [5703; 6892]; [3184; 7415]; [4878; 10162]; [3208; 5557]; [6024; 9162]; [4405; 8252]; [9097; 9979]; [6915; 9141]; [5578; 11327]; [1436; 7034]; [2310; 3626]; [2442; 10161]; [2458; 4278]; [2777; 5721]; [6; 2990]; [3330; 7590]; [2612; 11511]; [1200; 1280]; [10055; 11530]; [559; 7111]; [2644; 3098]; [6345; 7648]; [646; 9739]; [6933; 7818]; [5720; 7596]; [1088; 3668]; [9226; 10924]; [5284; 8197]; [3190; 10212]; [2853; 5157]; [392; 11320]; [53; 5438]; [1331; 6809]; [1195; 6948]; [5772; 8136]; [1169; 5700]; [1883; 4289]; [3149; 3391]; [5142; 11123]; [151; 8605]; [1408; 8345]; [252; 2241]; [3046; 10059]; [6853; 10841]; [525; 10509]; [2574; 4587]; [4483; 9208]; [407; 3283]; [1145; 6430]; [5076; 9722]; [5320; 5918]; [2302; 9726]; [5323; 9599]; [1457; 7456]; [3795; 8053]; [4653; 9804]; [728; 4048]; [1786; 3201]; [2699; 3131]; [6869; 8691]; [1816; 5295]; [6368; 11149]; [7942; 8152]; [3341; 6543]; [4578; 4907]; [3960; 6026]; [4077; 6611]; [4615; 9670]; [2494; 5358]; [7571; 9148]; [821; 1179]; [5361; 11180]; [2005; 7796]; [4543; 11487]; [3734; 8874]; [4073; 6842]; [6760; 7593]; [3577; 8890]; [7102; 10740]; [127; 6625]; [7527; 9980]; [4941; 9281]; [3829; 9865]; [4882; 7920]; [1582; 8632]; [4445; 5667]; [656; 5434]; [3395; 6375]; [1241; 6087]; [8708; 11418]; [9427; 10351]; [2638; 4706]; [1576; 1647]; [2327; 9917]; [457; 5224]; [3846; 10219]; [1977; 6128]; [4587; 4969]; [3160; 9891]; [2348; 7761]; [5586; 6171]; [7676; 9672]; [1389; 2171]; [2682; 10266]; [6629; 7675]; [780; 6035]; [630; 9474]; [2684; 10312]; [1960; 3865]; [4482; 7023]; [3215; 3532]; [2150; 3962]; [690; 10656]; [5198; 6412]; [1345; 8638]; [703; 4475]; [5025; 7423]; [3395; 5570]; [5317; 11207]; [9797; 10577]; [5747; 10037]; [2416; 5020]; [5571; 8091]; [9148; 10131]; [2478; 5898]; [3468; 10020]; [6156; 7963]; [270; 7976]; [4241; 9943]; [634; 2776]; [4155; 7136]; [812; 11184]; [5803; 7286]; [2220; 11093]; [1590; 10697]; [8031; 9216]; [1025; 9198]; [2952; 3845]; [2833; 6597]; [4352; 6145]; [5195; 7588]; [9897; 10757]; [8030; 8991]; [2584; 9276]; [2701; 3445]; [1768; 3240]; [3237; 4179]; [9794; 10255]; [3846; 5226]; [356; 9224]; [5430; 7835]; [6799; 10822]; [3170; 5586]; [2718; 4553]; [8770; 9905]; [1912; 5621]; [2598; 9332]; [4618; 11340]; [2813; 11206]; [3837; 4359]; [2930; 5375]; [5524; 10099]; [3581; 10031]; [2774; 8245]; [9281; 10794]; [5143; 10407]; [163; 5769]; [5910; 6378]; [5734; 10848]; [8447; 10568]; [873; 1206]; [6345; 9689]; [6845; 10012]; [965; 6807]; [545; 7941]; [1085; 5411]; [1890; 10534]; [4293; 5110]; [675; 817]; [793; 11426]; [584; 11252]; [3225; 9406]; [6960; 7868]; [5859; 8641]; [3130; 5382]; [3348; 6773]; [3346; 10864]; [2532; 7907]; [1009; 6705]; [1840; 6633]; [7791; 11179]; [976; 4313]; [8317; 10471]; [1247; 2332]; [4947; 9663]; [2684; 7897]; [4948; 6101]; [5132; 8662]; [5825; 6374]; [6308; 9002]; [1196; 1993]; [4559; 5767]; [7031; 8808]; [168; 4934]; [3942; 9740]; [3009; 9535]; [3121; 4114]; [3315; 7363]; [7831; 10554]; [7382; 9038]; [1692; 5957]; [16; 4513]; [410; 7850]; [10279; 11319]; [5764; 8730]; [7016; 10378]; [5294; 5583]; [2341; 9786]; [4643; 10726]; [591; 9359]; [756; 1290]; [4641; 7647]; [5038; 11255]; [3147; 5685]; [4210; 4428]; [9869; 10108]; [5579; 11579]; [1744; 8749]; [7747; 10075]; [4977; 6815]; [692; 7132]; [1246; 8472]; [2586; 10721]; [344; 9832]; [6839; 10866]; [239; 5874]; [1025; 6783]; [4920; 9664]; [7277; 8059]; [1332; 6711]; [3999; 6086]; [81; 7917]; [2116; 10957]; [45; 1844]; [5316; 6631]; [1770; 3904]; [2112; 7805]; [5393; 8571]; [4534; 6595]; [2199; 9679]; [5150; 8813]; [1347; 11156]; [8317; 8511]; [5118; 10029]; [7179; 7874]; [5698; 6174]; [2468; 7625]; [1791; 11547]; [1289; 3981]; [189; 5356]; [9708; 10698]; [6609; 8660]; [3985; 5225]; [3582; 4054]; [9554; 10231]; [8129; 9564]; [2086; 5429]; [5141; 11302]; [4071; 4218]; [1431; 6666]; [6472; 8547]; [6902; 8131]; [4823; 8926]; [8491; 11084]; [1643; 8242]; [1362; 1584]; [2408; 9802]; [4779; 6375]; [4844; 6770]; [419; 691]; [4493; 5789]; [97; 4612]; [2777; 4192]; [6796; 7331]; [910; 3180]; [2348; 5964]; [1658; 7769]; [5711; 9738]; [4267; 6385]; [1368; 8195]; [3116; 5543]; [406; 2334]; [4077; 10425]; [5789; 8116]; [5260; 8526]; [10017; 10648]; [5595; 10502]; [4315; 6806]; [3009; 3387]; [7991; 8825]; [3601; 10846]; [3699; 7971]; [5872; 6057]; [1575; 4859]; [2452; 9296]; [3035; 11374]; [58; 11019]; [3790; 10718]; [521; 6579]; [6185; 7685]; [2689; 4321]; [8017; 10396]; [10314; 10992]; [890; 1723]; [2156; 11405]; [3498; 10317]; [8540; 9390]; [8698; 9976]; [6272; 7280]; [1695; 10229]; [9838; 11413]; [7534; 9646]; [6128; 6777]; [5570; 8701]; [1392; 8915]; [7899; 11464]; [6202; 8389]; [1894; 10065]; [2386; 9773]; [3351; 6483]; [1124; 7380]; [8328; 10823]; [5563; 7880]; [1478; 10537]; [2450; 7664]; [4121; 5354]; [1416; 3243]; [361; 7771]; [1913; 4049]; [6574; 10627]; [6078; 6259]; [6824; 10021]; [6662; 9693]; [4648; 10883]; [8375; 10238]; [1345; 1498]; [73; 8243]; [63; 3391]; [1814; 10836]; [1815; 7274]; [817; 8926]; [1128; 6344]; [6032; 6264]; [3831; 5376]; [1281; 7340]; [1050; 10625]; [1894; 9260]; [4196; 10200]; [1398; 11308]; [2740; 3804]; [2661; 10893]; [4789; 10714]; [4784; 10370]; [7552; 9797]; [1518; 3496]; [6089; 9400]; [2173; 4888]; [3883; 8168]; [180; 1293]; [137; 4629]; [1909; 2371]; [5711; 6973]; [8911; 9063]; [2727; 5447]; [2567; 8198]; [2947; 7665]; [5857; 6798]; [2438; 5344]; [2247; 2366]; [1660; 2798]; [1482; 10605]; [4395; 7003]; [4; 8422]; [3219; 9292]; [8472; 9366]; [7083; 10608]; [8131; 9073]; [3427; 3579]; [3991; 5607]; [7726; 11239]; [319; 4461]; [8749; 11337]; [6261; 11173]; [6440; 9226]; [282; 10995]; [2773; 8424]; [2916; 7978]; [785; 8583]; [675; 10697]; [1893; 11263]; [9618; 10968]; [6784; 10167]; [1395; 6822]; [5656; 9494]; [3492; 6983]; [4847; 10264]; [8228; 8982]; [3615; 5104]; [6364; 7487]; [7415; 9633]; [1007; 6309]; [5539; 10787]; [9341; 11225]; [8930; 9439]; [3806; 5803]; [284; 3470]; [683; 735]; [2708; 3087]; [1499; 10154]; [1148; 2757]; [2278; 7640]; [1177; 7659]; [5189; 9627]; [6906; 7662]; [3081; 5520]; [4812; 7425]; [4409; 5500]; [7342; 10444]; [9665; 10009]; [5317; 5840]; [7428; 9464]; [1607; 9872]; [862; 9718]; [10273; 11555]; [7584; 9977]; [4819; 7815]; [1509; 7085]; [9351; 11539]; [5591; 9792]; [150; 10421]; [618; 6325]; [802; 8886]; [8577; 11364]; [4747; 8878]; [1786; 2640]; [1168; 3759]; [696; 11119]; [913; 2486]; [5680; 6050]; [4173; 9545]; [6141; 11363]; [6136; 11019]; [2474; 9807]; [2555; 5073]; [77; 5597]; [1190; 10873]; [1157; 2065]; [417; 2255]; [6315; 9449]; [1459; 6567]; [7401; 7617]; [3118; 3843]; [3677; 5527]; [246; 3312]; [6655; 9490]; [4609; 6261]; [5104; 10404]; [2609; 11321]; [4765; 6774]; [1461; 3580]; [7121; 11360]; [294; 2979]; [2191; 6085]; [983; 3955]; [7077; 11061]; [8634; 11093]; [3780; 9038]; [4029; 5578]; [2403; 7661]; [409; 458]; [4400; 7965]; [5091; 11266]; [229; 5186]; [2429; 5095]; [684; 5766]; [1587; 7260]; [2903; 4951]; [5472; 7201]; [4919; 9469]; [7073; 7505]; [1092; 4248]; [5825; 8228]; [2017; 10227]; [4166; 7919]; [365; 3919]; [900; 1045]; [5401; 5456]; [125; 4432]; [3628; 10495]; [4071; 8032]; [5812; 10625]; [731; 5181]; [2723; 11557]; [1068; 1568]; [2316; 4228]; [3149; 3448]; [1316; 8436]; [6070; 11041]; [5077; 5867]; [1613; 5424]; [4388; 9028]; [7003; 8213]; [336; 1245]; [4919; 8664]; [3292; 10522]; [5317; 6458]; [1898; 5004]; [6404; 10513]; [6099; 9877]; [4346; 5769]; [7716; 10714]; [449; 2061]; [8156; 10232]; [3540; 7591]; [9541; 11500]; [4992; 10081]; [2287; 7970]; [3994; 4563]; [2696; 5923]; [1266; 4912]; [2103; 8792]; [1759; 8982]; [1602; 10496]; [5738; 10810]; [4120; 9748]; [6790; 9394]; [262; 5968]; [1569; 11487]; [2583; 4706]; [2526; 3418]; [4613; 7402]; [1029; 1185]; [1529; 8678]; [3246; 10123]; [5235; 6402]; [5240; 6746]; [2334; 6631]; [3110; 6852]; [5823; 6572]; [3427; 5970]; [2541; 7863]; [7193; 10915]; [1923; 2566]; [403; 5045]; [1552; 9978]; [5341; 6047]; [898; 5024]; [1428; 1806]; [3293; 6155]; [5032; 7921]; [5433; 9019]; [7761; 8928]; [5128; 8383]; [646; 8186]; [2191; 6703]; [5310; 7865]; [582; 4229]; [3324; 11103]; [1257; 9279]; [3246; 8968]; [4808; 10098]; [2475; 3429]; [8946; 10485]; [6368; 10401]; [3625; 11216]; [764; 2930]; [227; 2725]; [8688; 8914]; [2812; 9615]; [7101; 10171]; [1929; 4609]; [158; 10475]; [4538; 10395]; [7256; 10459]; [2327; 2403]; [1924; 7648]; [3727; 5457]; [4654; 5093]; [9266; 10998]; [465; 11534]; [5883; 9955]; [8894; 9140]; [4226; 5555]; [2116; 11201]; [2161; 3804]; [5901; 9780]; [643; 9362]; [8640; 11475]; [3788; 5329]; [2917; 6756]; [4035; 10124]; [9126; 11368]; [5184; 8641]; [7209; 10993]; [9155; 9854]; [8576; 10901]; [2053; 2931]; [4205; 6556]; [1402; 8074]; [4431; 6310]; [1284; 7264]; [5452; 9745]; [2955; 8337]; [3325; 7116]; [8087; 9582]; [2956; 4775]; [6249; 7056]; [5753; 9858]; [1295; 10055]; [5096; 5387]; [8029; 9577]; [1109; 4415]; [7184; 11471]; [9515; 10897]; [4945; 10853]; [3446; 5541]; [9755; 10357]; [1756; 5165]; [39; 714]; [1857; 5971]; [4059; 9713]; [4652; 10227]; [225; 9737]; [3993; 9093]; [1315; 11057]; [702; 6104]; [1065; 4466]; [127; 10333]; [9622; 10363]; [5233; 6193]; [3648; 8277]; [5004; 11059]; [4665; 7429]; [1862; 8193]; [1800; 7315]; [181; 3399]; [6070; 7821]; [4010; 6414]; [10584; 10939]; [3766; 9437]; [8453; 10820]; [5368; 8488]; [3143; 10212]; [9805; 10420]; [1830; 10540]; [1078; 10713]; [3452; 10967]; [9976; 11241]; [1170; 11433]; [979; 7701]; [6469; 7688]; [599; 1818]; [3754; 4889]; [724; 766]; [2470; 3703]; [3846; 7861]; [3559; 8585]; [3942; 7569]; [3121; 8359]; [5082; 9006]; [4887; 5532]; [10067; 10955]; [217; 8290]; [6949; 6985]; [7835; 10784]; [1035; 4950]; [5906; 8140]; [118; 5278]; [2728; 4119]; [8863; 11226]; [4479; 7400]; [5098; 9135]; [337; 9523]; [8654; 11052]; [433; 9985]; [1276; 5012]; [3547; 10803]; [2552; 11218]; [5190; 5691]; [2542; 4114]; [7772; 8900]; [3343; 5331]; [2006; 7517]; [2298; 11301]; [6279; 7540]; [7363; 7914]; [4897; 11481]; [2373; 5998]; [4155; 10844]; [1349; 2265]; [6364; 9341]; [3806; 4274]; [165; 4693]; [483; 3282]; [2716; 6337]; [1778; 8040]; [157; 3297]; [5650; 6965]; [4580; 7051]; [6445; 11400]; [535; 2691]; [2838; 10649]; [4185; 9905]; [3024; 3457]; [3870; 8581]; [5417; 7925]; [4111; 5260]; [8658; 10016]; [1675; 6757]; [8213; 9373]; [2387; 3021]; [2731; 2831]; [6996; 9409]; [2734; 6512]; [9678; 9816]; [957; 8426]; [5595; 9136]; [1139; 3744]; [3324; 3345]; [4034; 5198]; [7626; 9024]; [3632; 11045]; [3317; 9721]; [6094; 7736]; [927; 2518]; [1828; 8103]; [3913; 10506]; [1298; 4905]; [577; 9309]; [5341; 8438]; [2655; 10541]; [3153; 7785]; [8285; 9784]; [1232; 9920]; [1411; 5721]; [75; 10761]; [2522; 7918]; [8411; 11586]; [4387; 5851]; [560; 2882]; [6907; 8182]; [288; 5392]; [7557; 9984]; [8620; 8727]; [7876; 11427]; [2109; 2272]; [1023; 8241]; [4046; 8941]; [9894; 10356]; [9405; 10165]; [1561; 9048]; [85; 1276]; [5778; 7284]; [433; 8375]; [6842; 8137]; [211; 3078]; [7862; 10216]; [88; 10592]; [300; 2369]; [9109; 10022]; [3226; 9552]; [1132; 5151]; [1419; 8591]; [7458; 9574]; [4929; 9409]; [6372; 8373]; [701; 6096]; [2559; 2858]; [1696; 10562]; [4218; 7304]; [9311; 9375]; [3099; 10127]; [2399; 8992]; [4363; 6904]; [7289; 7671]; [3827; 10307]; [7634; 11089]; [5542; 7515]; [1053; 6147]; [9616; 10361]; [2147; 4203]; [1248; 9998]; [4567; 7084]; [2175; 9634]; [5059; 7546]; [8553; 10083]; [10253; 10423]; [3795; 7736]; [274; 6759]; [3908; 5169]; [3280; 5600]; [2812; 9696]; [757; 9387]; [5154; 11166]; [1257; 3294]; [4829; 4990]; [5515; 7947]; [3552; 7227]; [881; 10362]; [4119; 6520]; [5736; 7357]; [2126; 2925]; [5584; 9969]; [2401; 11266]; [787; 7694]; [2217; 8705]; [6330; 11479]; [2271; 8941]; [963; 9613]; [5820; 8933]; [526; 2442]; [1866; 11107]; [1783; 9352]; [5174; 8004]; [3667; 7335]; [587; 3849]; [5473; 8825]; [839; 10486]; [2546; 7833]; [8714; 10916]; [985; 10311]; [3602; 10323]; [583; 9742]; [10471; 11009]; [8795; 8811]; [1534; 1858]; [3743; 6017]; [2660; 11503]; [4989; 7850]; [1596; 6119]; [4519; 5457]; [3285; 8522]; [7423; 8909]; [5794; 6557]; [6920; 10540]; [36; 11451]; [7228; 8441]; [719; 9229]; [5581; 8893]; [6720; 6722]; [1661; 3481]; [1088; 10035]; [5329; 7891]; [4200; 10026]; [8150; 11116]; [8626; 11045]; [7320; 7626]; [4163; 10898]; [806; 3906]; [5441; 11515]; [8928; 10629]; [7842; 10182]; [1335; 7633]; [6651; 11439]; [887; 5965]; [4978; 7260]; [5004; 6229]; [704; 7012]; [20; 9763]; [3900; 5950]; [290; 11344]; [5498; 5983]; [9999; 11148]; [1504; 4594]; [4298; 10160]; [6858; 8884]; [1753; 5298]; [1603; 8737]; [2659; 11227]; [1250; 11093]; [2960; 7957]; [1969; 3610]; [2841; 3539]; [848; 6360]; [5860; 7503]; [6661; 10972]; [587; 5272]; [9270; 10342]; [7131; 11086]; [10082; 10220]; [1985; 4493]; [5653; 8903]; [4562; 7358]; [2850; 3251]; [8147; 10013]; [743; 9168]; [2362; 10078]; [798; 2459]; [2661; 10145]; [4877; 5649]; [1301; 10627]; [2514; 6685]; [1050; 6844]; [1552; 7994]; [2414; 3071]; [5471; 9771]; [5810; 6985]; [3877; 7605]; [1630; 6372]; [7488; 10727]; [1007; 2983]; [146; 11514]; [43; 1213]; [3618; 8842]; [605; 8830]; [903; 6043]; [220; 2603]; [2623; 3595]; [5104; 10916]; [3025; 5295]; [876; 1187]; [3928; 6789]; [587; 1084]; [159; 7962]; [2949; 9622]; [2274; 10207]; [3576; 9720]; [771; 9657]; [9706; 10067]; [2488; 7692]; [155; 1023]; [5626; 6652]; [4411; 9767]; [2169; 9632]; [1722; 1773]; [3275; 5069]; [704; 8785]; [596; 1146]; [2376; 9329]; [2371; 8985]; [631; 9246]; [8157; 9522]; [9774; 10359]; [1253; 9000]; [2689; 10957]; [5848; 10794]; [8960; 10785]; [5155; 9295]; [2046; 3159]; [4311; 8381]; [8649; 9553]; [5999; 11313]; [2818; 2857]; [3573; 7863]; [10228; 11064]; [9786; 10719]; [2879; 9926]; [1103; 11284]; [1791; 8652]; [1964; 10300]; [2404; 10572]; [420; 8221]; [1567; 10829]; [1999; 6322]; [9555; 10190]; [7416; 10934]; [2999; 11132]; [525; 5012]; [2269; 4870]; [2981; 3386]; [162; 10033]; [7686; 9482]; [4040; 9557]; [4948; 11395]; [2424; 5158]; [7548; 9548]; [3482; 4311]; [10240; 10643]; [2174; 11399]; [3227; 9454]; [25; 7291]; [3664; 10209]; [3129; 6667]; [706; 9904]; [990; 3247]; [3188; 3864]; [352; 2990]; [8620; 9508]; [1041; 9628]; [84; 701]; [8666; 9883]; [54; 9160]; [8533; 10293]; [2848; 3392]; [4436; 9907]; [1881; 4357]; [4682; 6930]; [5583; 7597]; [2539; 6020]; [15; 6199]; [7289; 11135]; [997; 6296]; [4362; 10897]; [871; 7877]; [6509; 7762]; [8317; 11577]; [2211; 2956]; [282; 7482]; [1500; 8048]; [4082; 11257]; [7592; 7911]; [2327; 4070]; [2275; 3880]; [1021; 1405]; [3825; 9911]; [7534; 7906]; [7465; 10021]; [3798; 8465]; [1200; 7005]; [3388; 3871]; [3727; 4091]; [3917; 9850]; [1675; 8961]; [4039; 8527]; [525; 10973]; [6053; 6556]; [4072; 10138]; [3594; 7130]; [4432; 8229]; [1357; 7339]; [3754; 5133]; [2260; 6581]; [111; 2473]; [329; 10280]; [1193; 6184]; [8512; 8611]; [4840; 8963]; [3555; 11339]; [255; 7887]; [1375; 4912]; [1849; 4768]; [9464; 9997]; [6317; 6787]; [1867; 4593]; [716; 2997]; [4205; 5190]; [2921; 10420]; [6376; 7367]; [1219; 7755]; [9832; 11332]; [2834; 4759]; [3849; 7248]; [4480; 10498]; [1681; 3090]; [8998; 11106]; [5937; 7670]; [4347; 4492]; [23; 5635]; [5072; 11541]; [5000; 9975]; [8269; 9950]; [2018; 9276]; [1861; 11544]; [6453; 8903]; [7106; 10222]; [1381; 11092]; [442; 3525]; [6398; 8415]; [10035; 11260]; [3432; 5216]; [1011; 2864]; [8352; 9022]; [5632; 5879]; [2357; 7587]; [1484; 8187]; [2980; 10195]; [6619; 9703]; [549; 739]; [2830; 7218]; [2272; 8388]; [5405; 7004]; [5690; 9617]; [3314; 6284]; [1294; 4276]; [8138; 10382]; [46; 11415]; [166; 10019]; [6494; 11105]; [4781; 7527]; [5237; 7578]; [36; 1278]; [2097; 5539]; [2501; 3902]; [479; 5231]; [4612; 5274]; [3560; 10073]; [2841; 3970]; [845; 7274]; [2154; 3040]; [1412; 8819]; [4247; 10222]; [3896; 9241]; [250; 2900]; [6046; 10541]; [7885; 9505]; [7880; 9161]; [4950; 8652]; [621; 10949]; [6624; 10023]; [6875; 7390]; [5412; 6239]; [5134; 8180]; [2145; 6310]; [923; 1838]; [2442; 5550]; [1987; 8353]; [8482; 9387]; [7448; 9130]; [6778; 10059]; [3154; 5197]; [6142; 9094]; [8485; 10035]; [2623; 10442]; [7363; 9931]; [10747; 11576]; [2394; 8892]; [4836; 9812]; [2744; 5484]; [2095; 5038]; [1560; 8666]; [4147; 5803]; [4398; 9586]; [8247; 9870]; [5919; 7709]; [1220; 4811]; [2433; 5033]; [4100; 5233]; [1958; 5679]; [4284; 4761]; [6214; 10259]; [6152; 6375]; [1205; 4129]; [4131; 11312]; [1423; 5520]; [7367; 8895]; [3098; 9745]; [2945; 6497]; [7389; 11128]; [3101; 7010]; [1687; 2368]; [9785; 10949]; [3653; 7523]; [4280; 7621]; [6138; 10799]; [8349; 10123]; [1320; 10653]; [847; 2327]; [2741; 11578]; [6566; 7304]; [664; 2620]; [4241; 5414]; [9122; 9292]; [7498; 8038]; [5579; 6082]; [2270; 2544]; [6466; 7073]; [213; 1408]; [992; 5310]; [1306; 6409]; [3417; 8535]; [2316; 8554]; [1447; 5890]; [798; 7696]; [1670; 7625]; [1171; 3740]; [3156; 8945]; [4164; 8735]; [300; 1003]; [6354; 8710]; [8260; 8896]; [5705; 10516]; [1037; 4679]; [2279; 5639]; [6606; 8931]; [562; 10987]; [1840; 5942]; [5169; 10132]; [7479; 9435]; [5222; 7514]; [5299; 9424]; [3520; 4095]; [1770; 10084]; [4237; 7119]; [1186; 10787]; [10272; 10612]; [2108; 10079]; [1490; 11198]; [4907; 5409]; [149; 9478]; [92; 8944]; [2609; 11004]; [5628; 8552]; [1287; 7082]; [2751; 6923]; [2417; 7801]; [6175; 8721]; [2915; 5799]; [377; 7800]; [2374; 8104]; [822; 2000]; [1966; 6589]; [185; 4597]; [7748; 9636]; [7316; 9979]; [4181; 6032]; [5332; 7628]; [7792; 9908]; [6885; 10924]; [1773; 3915]; [5544; 9204]; [9064; 10710]; [5203; 8911]; [3978; 10584]; [1337; 3762]; [8661; 9539]; [3957; 10461]; [380; 1251]; [2558; 11015]; [3828; 7607]; [8408; 9093]; [2026; 6990]; [364; 7164]; [6530; 9420]; [3911; 6329]; [9024; 10530]; [120; 3771]; [5218; 6186]; [1073; 4628]; [8170; 8174]; [4032; 7787]; [3440; 3711]; [4563; 7423]; [2636; 6360]; [1227; 2062]; [9112; 9596]; [4315; 8075]; [6932; 10339]; [4086; 8023]; [1849; 8232]; [6556; 10991]; [9562; 9832]; [1850; 4670]; [733; 8320]; [7827; 8939]; [4300; 5508]; [1073; 4978]; [1945; 11323]; [5543; 7824]; [3583; 6621]; [7328; 10689]; [5050; 7891]; [36; 10085]; [1156; 10116]; [1751; 11457]; [10455; 10988]; [6847; 7383]; [3943; 8095]; [6716; 7866]; [4971; 8537]; [3727; 6750]; [6916; 8651]; [5846; 7983]; [705; 8904]; [5285; 9636]; [1018; 7149]; [2647; 9501]; [892; 8730]; [892; 2314]; [396; 4362]; [2364; 6180]; [1419; 4460]; [6310; 9780]; [4309; 5570]; [4216; 9543]; [329; 6523]; [10509; 11574]; [2035; 3645]; [1343; 2371]; [1282; 4347]; [793; 1904]; [3089; 8691]; [11203; 11389]; [2276; 2926]; [2052; 7382]; [4507; 9318]; [5037; 6100]; [1960; 7793]; [5609; 7989]; [6461; 6542]; [4470; 9436]; [1827; 8203]; [2212; 8768]; [7308; 10356]; [3352; 9451]; [1695; 5805]; [1041; 4261]; [798; 1093]; [9005; 10398]; [9981; 10650]; [2686; 10529]; [3214; 6484]; [4313; 5638]; [5; 6560]; [5837; 9694]; [161; 7073]; [8282; 10942]; [8843; 9289]; [2921; 5858]; [61; 6842]; [2671; 5683]; [3639; 5320]; [5569; 10818]; [1801; 9210]; [8594; 11564]; [280; 8054]; [8373; 9875]; [1298; 7808]; [1704; 2080]; [7607; 10372]; [213; 10215]; [9705; 10728]; [6775; 10219]; [2848; 10052]; [21; 596]; [1726; 7696]; [2694; 9585]; [808; 3635]; [5391; 11054]; [7034; 10860]; [3716; 10212]; [944; 6879]; [839; 8583]; [2833; 9370]; [1816; 6808]; [10054; 11262]; [379; 11042]; [1036; 9097]; [1731; 3502]; [6562; 8017]; [1272; 8815]; [5343; 7980]; [2049; 5474]; [4664; 11075]; [3850; 8118]; [242; 4513]; [5063; 9094]; [6066; 7786]; [5725; 7493]; [3531; 3642]; [1695; 4195]; [3284; 6394]; [4311; 10398]; [4127; 7837]; [4058; 5788]; [252; 1444]; [102; 4883]; [8293; 9491]; [5645; 7914]; [1163; 7717]; [8847; 10831]; [9566; 10518]; [2190; 5305]; [6574; 9131]; [41; 443]; [2907; 3411]; [3065; 11167]; [5453; 11127]; [3932; 4336]; [3427; 9304]; [6171; 10589]; [2458; 9442]; [4103; 5157]; [2676; 10833]; [1114; 3287]; [2309; 9319]; [4697; 9279]; [1304; 7548]; [4669; 7231]; [7866; 9804]; [3795; 4223]; [3255; 6753]; [3105; 3776]; [5319; 9033]; [1556; 7769]; [3006; 3016]; [7467; 9506]; [1196; 2538]; [3226; 5234]; [3141; 9068]; [1861; 5372]; [3033; 5593]; [7544; 10692]; [1854; 4201]; [5434; 9922]; [291; 10016]; [6361; 10312]; [4535; 11553]; [1973; 8996]; [1063; 6331]; [610; 5797]; [7549; 8003]; [5682; 6991]; [1066; 3596]; [1651; 6501]; [7165; 11046]; [50; 10304]; [446; 3888]; [7636; 10631]; [3909; 4860]; [5664; 11323]; [8348; 9147]; [4024; 9536]; [7883; 10508]; [4922; 10686]; [2289; 10141]; [6827; 11401]; [590; 4017]; [5328; 8341]; [6283; 10779]; [5075; 8649]; [6076; 6514]; [1866; 4561]; [2335; 9735]; [1616; 3632]; [5282; 11379]; [5497; 6837]; [2011; 4161]; [5402; 9983]; [3294; 5876]; [4479; 10466]; [823; 1902]; [5952; 10800]; [7077; 11175]; [7731; 9713]; [3283; 4182]; [3723; 8618]; [3475; 4352]; [3550; 5465]; [2810; 4901]; [6829; 8040]; [5760; 10980]; [70; 4489]; [8041; 11043]; [1835; 5224]; [8679; 10576]; [1365; 2077]; [1223; 9541]; [7992; 9646]; [1464; 6220]; [3580; 7936]; [431; 8817]; [486; 8524]; [861; 1231]; [6215; 8527]; [5344; 11452]; [1149; 10531]; [8952; 9395]; [115; 10274]; [3000; 11040]; [9357; 10612]; [1198; 4007]; [138; 4027]; [2223; 11348]; [12; 5608]; [3224; 9213]; [2653; 3762]; [7458; 10062]; [9944; 10557]; [5018; 9188]; [1886; 11174]; [4933; 10770]; [5014; 5282]; [4186; 9035]; [3615; 5836]; [4174; 7520]; [4583; 6227]; [1381; 3310]; [1969; 3480]; [3576; 3629]; [900; 6420]; [6413; 11494]; [3608; 11431]; [2228; 4121]; [9915; 10916]; [1417; 4845]; [1384; 2453]; [6782; 9267]; [459; 2863]; [1362; 4357]; [668; 6420]; [3262; 11144]; [5241; 6735]; [2074; 10420]; [2938; 5570]; [701; 5779]; [3860; 5616]; [7010; 8343]; [793; 8751]; [1725; 2315]; [1037; 2695]; [4768; 10837]; [11528; 11580]; [1843; 4256]; [4458; 9857]; [8878; 9176]; [3731; 9528]; [586; 729]; [3848; 4451]; [3136; 11570]; [9889; 11142]; [3354; 6545]; [8758; 10952]; [1444; 2453]; [2820; 4359]; [3439; 6094]; [9008; 10346]; [5432; 8908]; [7476; 9058]; [6144; 11588]; [578; 6853]; [1259; 10220]; [8442; 8622]; [7793; 10428]; [3958; 7598]; [2037; 9733]; [282; 8962]; [4361; 5736]; [5510; 10669]; [2309; 4944]; [2770; 9503]; [8341; 8920]; [3802; 7435]; [2088; 3255]; [3100; 5473]; [8213; 9674]; [4295; 10751]; [584; 6267]; [1145; 1608]; [642; 9655]; [6025; 9021]; [5746; 9606]; [6317; 6389]; [3572; 4879]; [1726; 4744]; [203; 9958]; [2195; 9918]; [5555; 7005]; [3344; 8435]; [8882; 11122]; [694; 10195]; [9560; 11185]; [723; 7900]; [1561; 8999]; [5697; 6307]; [7789; 10635]; [8465; 8740]; [934; 5868]; [9466; 11523]; [9648; 10251]; [126; 11027]; [8276; 9218]; [7068; 7088]; [7906; 8187]; [3019; 5992]; [987; 6633]; [2420; 11325]; [2769; 5063]; [7939; 9798]; [1606; 1952]; [465; 1044]; [6999; 8422]; [8561; 8798]; [3539; 4715]; [2021; 3857]; [1727; 3410]; [2270; 10977]; [4975; 6672]; [4557; 10885]; [484; 10893]; [86; 7814]; [2324; 11213]; [760; 10010]; [1670; 6259]; [2513; 7702]; [8884; 11144]; [9312; 9901]; [9408; 9609]; [819; 4174]; [3430; 10033]; [5699; 8581]; [7003; 11173]; [382; 4550]; [8687; 10980]; [2021; 9118]; [252; 8641]; [663; 10427]; [2898; 3729]; [4665; 7543]; [2733; 5382]; [1981; 3303]; [7369; 9429]; [6130; 7986]; [1486; 8959]; [9772; 11175]; [4944; 9587]; [6506; 10717]; [899; 3729]; [1764; 8903]; [5724; 10681]; [2973; 7471]; [1734; 3776]; [1722; 2261]; [2415; 7143]; [4244; 5419]; [54; 4842]; [3942; 10716]; [4623; 7667]; [5373; 5913]; [3781; 6826]; [1446; 9910]; [195; 536]; [9881; 11468]; [4231; 7062]; [4143; 7215]; [2061; 2077]; [3745; 10552]; [6696; 9686]; [6577; 8274]; [1904; 4345]; [10651; 11120]; [1558; 3708]; [756; 2266]; [1370; 10073]; [663; 6239]; [2528; 4172]; [1864; 4946]; [281; 3693]; [67; 11089]; [1182; 10776]; [5134; 6277]; [2613; 5973]; [4667; 6811]; [1422; 7230]; [1021; 6886]; [470; 9227]; [1236; 4596]; [5074; 11107]; [2545; 4526]; [3351; 6841]; [3015; 6892]; [4978; 8366]; [7839; 10990]; [895; 5434]; [5996; 7366]; [3009; 6323]; [2606; 11568]; [2350; 7441]; [180; 2456]; [4595; 5595]; [2385; 9879]; [4372; 9495]; [1530; 4669]; [1230; 10793]; [3749; 10270]; [5922; 8356]; [695; 7251]; [2787; 11579]; [4363; 5245]; [5016; 6564]; [3596; 6241]; [819; 8980]; [2089; 3320]; [9690; 11095]; [566; 2118]; [4268; 5358]; [5792; 9414]; [3930; 8746]; [7715; 11489]; [3267; 3706]; [467; 4741]; [4102; 4507]; [3971; 7996]; [8561; 9416]; [4875; 10092]; [6088; 6150]; [3034; 3885]; [8357; 8862]; [4067; 4671]; [2635; 2833]; [2465; 4896]; [7239; 8877]; [1573; 6944]; [2774; 5651]; [2876; 9311]; [3704; 8941]; [2809; 5056]; [534; 8191]; [5412; 9142]; [1145; 3649]; [5298; 5822]; [9393; 9545]; [1065; 8581]; [9525; 11162]; [6968; 9703]; [588; 8427]; [1078; 1646]; [4412; 11098]; [2423; 8403]; [5969; 11130]; [8918; 9437]; [4123; 4579]; [7283; 7994]; [3140; 7263]; [6997; 11572]; [8112; 11259]; [1758; 4788]; [603; 6456]; [7638; 11376]; [5181; 6361]; [6237; 8851]; [1664; 2874]; [2223; 4558]; [7510; 9878]; [5061; 5478]; [5773; 7404]; [4989; 6541]; [11331; 11497]; [6725; 8790]; [479; 10712]; [283; 6636]; [1535; 6786]; [9086; 10310]; [5385; 10678]; [9968; 10927]; [687; 8382]; [4269; 10766]; [1339; 6093]; [126; 10035]; [2829; 4903]; [4661; 9866]; [3888; 6910]; [6211; 6475]; [9824; 11178]; [3969; 6340]; [80; 6657]; [7707; 9237]; [2669; 6873]; [931; 1545]; [1516; 4450]; [1922; 2886]; [4974; 5078]; [1072; 7442]; [5089; 9754]; [1761; 7664]; [1267; 11293]; [2096; 10394]; [2127; 3291]; [6646; 6753]; [4834; 5448]; [9259; 9275]; [4426; 10349]; [2619; 9388]; [2163; 2167]; [3118; 3851]; [5487; 6767]; [814; 9254]; [8821; 9049]; [4363; 9246]; [6078; 10618]; [1128; 3937]; [534; 9614]; [5489; 10223]; [2552; 10795]; [5689; 6901]; [3741; 6459]; [2096; 10744]; [152; 7068]; [1394; 2366]; [7844; 8545]; [5734; 10027]; [7346; 9766]; [2019; 11463]; [6747; 9437]; [3168; 9980]; [6664; 7682]; [7937; 7955]; [1870; 4924]; [3668; 8805]; [168; 1535]; [1790; 2716]; [6174; 6542]; [2627; 5842]; [5983; 6193]; [5590; 9874]; [4347; 10941]; [8017; 9762]; [4245; 4248]; [9313; 10958]; [1813; 9651]; [8187; 11112]; [11306; 11520]; [6478; 10686]; [9000; 9680]; [62; 3337]; [9746; 11190]; [5222; 10767]; [1144; 10431]; [11128; 11406]; [9763; 11544]; [2454; 7553]; [5778; 11399]; [1823; 4303]; [3596; 11315]; [3723; 4674]; [3812; 9627]; [7955; 11112]; [9846; 10266]; [2248; 6172]; [947; 3851]; [6514; 11440]; [3214; 5736]; [4982; 5988]; [4419; 5316]; [5413; 6174]; [2465; 11475]; [1304; 5027]; [743; 2516]; [3215; 5557]; [3205; 4869]; [7532; 8161]; [2269; 7399]; [3767; 6070]; [6467; 11220]; [1558; 5294]; [799; 6208]; [3761; 9638]; [4783; 6128]; [8513; 11416]; [4165; 7247]; [4091; 11270]; [3783; 6953]; [546; 4981]; [4035; 5676]; [824; 11341]; [4437; 8874]; [3095; 6552]; [4991; 6050]; [8635; 10066]; [1321; 5731]; [2351; 2836]; [2812; 7395]; [6014; 6148]; [7325; 9911]; [2504; 3078]; [7488; 10841]; [69; 8964]; [5702; 8505]; [8555; 10487]; [8883; 9764]; [10609; 11325]; [8401; 10020]; [490; 7681]; [8218; 11067]; [4610; 6708]; [2517; 3663]; [772; 3580]; [8332; 9102]; [4135; 11518]; [6869; 7951]; [4076; 10157]; [2161; 4967]; [6333; 11354]; [3141; 9125]; [4616; 6903]; [2281; 9987]; [1315; 3226]; [9630; 10344]; [6199; 11539]; [6636; 8130]; [2066; 5080]; [127; 8918]; [3213; 6934]; [5800; 11241]; [5645; 7166]; [5676; 6479]; [5982; 10723]; [2114; 11163]; [4053; 11462]; [4860; 6832]; [3978; 8844]; [1110; 5803]; [5005; 6432]; [4198; 4646]; [7269; 11052]; [7253; 10519]; [7171; 8265]; [2881; 9736]; [1479; 4357]; [5472; 8527]; [618; 2308]; [1443; 8083]; [4591; 7731]; [1943; 6154]; [10470; 10711]; [5484; 8537]; [1936; 4983]; [7944; 10817]; [4809; 9122]; [5220; 10908]; [7608; 10868]; [4905; 9584]; [2873; 6061]; [4929; 7726]; [693; 6804]; [3272; 9742]; [7718; 8784]; [4058; 4235]; [4418; 7961]; [6885; 11412]; [5385; 5498]; [2305; 9926]; [3864; 4369]; [2710; 11143]; [1308; 5764]; [3326; 6945]; [2082; 5158]; [1832; 10645]; [4609; 8660]; [435; 6364]; [7747; 9872]; [2303; 10230]; [8619; 9801]; [4003; 6406]; [2664; 7765]; [3887; 8675]; [862; 11312]; [5745; 6191]; [1672; 10363]; [2114; 10708]; [92; 8627]; [5185; 10698]; [4565; 10990]; [1322; 5820]; [737; 2915]; [2786; 5661]; [8109; 11392]; [6020; 11499]; [6739; 10432]; [4088; 5174]; [5283; 10452]; [3942; 8732]; [1033; 2684]; [7395; 9016]; [10340; 10587]; [2332; 8315]; [310; 9644]; [1707; 5230]; [11178; 11282]; [5507; 9005]; [615; 10630]; [5682; 7316]; [7645; 8790]; [1636; 9901]; [428; 7771]; [10450; 11482]; [7673; 7805]; [5367; 9375]; [6557; 10145]; [2440; 8383]; [2577; 11098]; [602; 8109]; [2381; 4770]; [2283; 4235]; [1999; 4476]; [6176; 10453]; [1474; 1622]; [7738; 11583]; [730; 10738]; [4273; 7532]; [880; 883]; [659; 5610]; [344; 10702]; [62; 1190]; [5859; 6023]; [150; 256]; [3764; 5561]; [6757; 10556]; [5625; 9010]; [2710; 9533]; [7691; 11363]; [1089; 5544]; [3257; 3286]; [490; 10877]; [5779; 6444]; [6212; 9709]; [3375; 5227]; [1542; 3045]; [1325; 4508]; [7329; 8688]; [7823; 9977]; [3967; 8522]; [6859; 10459]; [9133; 9351]; [478; 9712]; [4332; 10340]; [3807; 7486]; [4390; 7312]; [3408; 7188]; [60; 3722]; [5419; 11362]; [7695; 11081]; [2110; 7824]; [933; 7259]; [10951; 11201]; [7768; 8334]; [8019; 9865]; [5436; 8683]; [959; 2414]; [2545; 7348]; [4307; 10818]; [1053; 8465]; [1074; 6336]; [2791; 4371]; [3099; 4524]; [4339; 9575]; [8919; 11061]; [3253; 8374]; [6081; 6354]; [6607; 7898]; [6586; 7775]; [7484; 8925]; [939; 9302]; [4645; 7780]; [189; 2388]; [8067; 8751]; [3406; 6337]; [1025; 2660]; [8696; 8922]; [565; 5119]; [4771; 9582]; [4585; 6948]; [3213; 9325]; [1618; 6557]; [7533; 11446]; [4823; 8991]; [3730; 5121]; [3337; 11054]; [7840; 9876]; [1453; 7429]; [5415; 10034]; [3760; 6461]; [5344; 11322]; [184; 8029]; [55; 9339]; [4757; 7590]; [5934; 8155]; [9012; 9316]; [3470; 9139]; [7368; 7787]; [3526; 10202]; [482; 7871]; [1684; 3770]; [6950; 8213]; [7259; 9722]; [4141; 11414]; [2100; 9283]; [6795; 10527]; [816; 7343]; [2712; 7595]; [9; 2147]; [5792; 8048]; [1310; 7851]; [4851; 10234]; [2762; 10341]; [6380; 8972]; [5504; 11553]; [7650; 8947]; [3104; 10455]; [1636; 9714]; [7670; 9599]; [2735; 8868]; [3033; 6081]; [925; 1220]; [10159; 10365]; [2751; 5614]; [3530; 9516]; [4058; 5471]; [6257; 9696]; [6210; 9850]; [1002; 8795]; [326; 6526]; [5580; 7202]; [4981; 8371]; [36; 6198]; [5514; 8834]; [3282; 9387]; [2281; 4352]; [4180; 10537]; [5888; 10738]; [4644; 8951]; [2648; 5085]; [2925; 7837]; [189; 10577]; [877; 10197]; [2231; 9900]; [183; 5844]; [589; 7286]; [3543; 10101]; [1120; 11086]; [4790; 4989]; [4480; 10425]; [4169; 6591]; [4783; 7982]; [6469; 6704]; [5624; 8598]; [1112; 9690]; [6251; 8696]; [1953; 11060]; [2571; 2771]; [4501; 8269]; [10669; 11352]; [989; 11542]; [609; 4905]; [6216; 9641]; [3088; 4983]; [5655; 11267]; [1603; 9900]; [11116; 11290]; [9199; 10915]; [8186; 10781]; [4309; 8449]; [5429; 8480]; [1683; 11357]; [4107; 10974]; [591; 9587]; [875; 2930]; [2771; 3182]; [56; 383]; [4233; 6360]; [3046; 5107]; [6882; 11545]; [7247; 9980]; [1345; 5296]; [2637; 3367]; [3044; 7663]; [4038; 9275]; [4886; 11062]; [6493; 10457]; [1608; 9089]; [2507; 10841]; [2161; 3788]; [1197; 10686]; [7453; 10206]; [8974; 10581]; [7422; 8641]; [2850; 11180]; [6924; 9862]; [10728; 11127]; [4553; 4621]; [1246; 4162]; [1853; 2854]; [354; 6210]; [2589; 5928]; [4526; 6181]; [1628; 3675]; [8813; 10074]; [1155; 1765]; [5979; 11525]; [6096; 6448]; [342; 8078]; [4521; 9220]; [467; 7026]; [1747; 9224]; [1869; 10153]; [10200; 10634]; [3462; 6432]; [2777; 5575]; [8033; 10084]; [125; 846]; [6594; 7075]; [7337; 11320]; [4505; 7182]; [3610; 9713]; [3782; 10759]; [1263; 11282]; [2424; 4898]; [3004; 7459]; [731; 8011]; [10448; 11086]; [4314; 6833]; [3820; 10462]; [1071; 1663]; [7058; 8872]; [4692; 10391]; [10153; 11168]; [1066; 4702]; [3063; 11422]; [9601; 9874]; [2438; 11370]; [198; 5646]; [2901; 6930]; [5829; 10776]; [8602; 11301]; [104; 5230]; [8686; 9494]; [1237; 8906]; [9614; 10486]; [10739; 10861]; [7599; 8822]; [5840; 11315]; [7593; 9007]; [10741; 10907]; [5040; 9919]; [1238; 3065]; [274; 9963]; [5522; 8939]; [3009; 6998]; [2537; 7942]; [5896; 7810]; [3504; 10360]; [9132; 10311]; [5369; 9047]; [7103; 10469]; [1232; 11514]; [2096; 7418]; [5019; 10920]; [1942; 6951]; [1624; 1946]; [3391; 5760]; [4667; 9714]; [7497; 10773]; [2860; 8753]; [4663; 6562]; [2181; 10350]; [1677; 8373]; [4168; 5802]; [3853; 10894]; [7466; 8427]; [9673; 10261]; [303; 4261]; [2039; 6510]; [4222; 6038]; [7800; 10932]; [393; 6406]; [737; 10380]; [7438; 9762]; [3603; 6932]; [4618; 9421]; [1159; 8568]; [5240; 8421]; [3714; 7702]; [8065; 9136]; [4114; 4411]; [4057; 8041]; [3250; 6255]; [4303; 5064]; [7079; 11522]; [1446; 8975]; [6384; 9977]; [565; 5550]; [1874; 7732]; [1750; 5976]; [6113; 8925]; [2238; 8948]; [1801; 5941]; [1246; 11546]; [4016; 8390]; [4133; 8975]; [8503; 8931]; [6725; 10620]; [4918; 9659]; [8614; 9701]; [4094; 6014]; [9212; 10559]; [2041; 8784]; [2732; 9833]; [1524; 3539]; [2453; 4756]; [2415; 8436]; [7180; 8167]; [8883; 10276]; [4597; 7739]; [9750; 9861]; [4970; 6035]; [2348; 9843]; [667; 8055]; [4619; 11470]; [4586; 6826]; [4116; 4433]; [5676; 8146]; [3377; 7477]; [1224; 5879]; [1964; 3437]; [441; 2235]; [3240; 10397]; [3061; 8180]; [7698; 10200]; [6354; 11215]; [2457; 6753]; [339; 8374]; [10338; 11135]; [314; 10761]; [2544; 9381]; [186; 10761]; [3825; 10269]; [4699; 11025]; [5850; 6205]; [5720; 10296]; [6473; 8813]; [921; 1532]; [3355; 8253]; [7143; 11267]; [4629; 5718]; [3743; 7611]; [1917; 8852]; [164; 8908]; [330; 10109]; [5053; 6985]; [7888; 8388]; [2007; 8745]; [851; 2641]; [2315; 6646]; [882; 1954]; [8973; 9364]; [820; 10875]; [1102; 9807]; [6978; 9106]; [5820; 6339]; [5212; 8146]; [5143; 10261]; [6664; 11390]; [6206; 9758]; [2930; 8612]; [2059; 11537]; [2357; 8750]; [4385; 10619]; [774; 1081]; [379; 10351]; [5133; 8792]; [4321; 6662]; [5757; 9373]; [7835; 8353]; [5541; 7274]; [4039; 11113]; [4510; 6534]; [7032; 9692]; [893; 5095]; [7398; 10981]; [10854; 11536]; [10656; 10797]; [231; 2909]; [5081; 8228]; [2161; 8407]; [1158; 9715]; [1193; 5737]; [6630; 7618]; [4300; 11046]; [2492; 7231]; [4770; 7777]; [3488; 9670]; [1786; 6251]; [5420; 11077]; [4107; 11405]; [7844; 11448]; [4514; 9285]; [2647; 8273]; [8846; 10669]; [8782; 8964]; [5535; 6304]; [4146; 7546]; [2644; 7221]; [4232; 7320]; [3723; 4999]; [2736; 7941]; [2853; 9280]; [707; 8099]; [898; 1251]; [5034; 11391]; [2448; 11446]; [6684; 8204]; [5808; 10785]; [4622; 5970]; [1862; 4152]; [5062; 6242]; [328; 8453]; [3376; 10903]; [2096; 9459]; [9155; 10269]; [6484; 7742]; [2351; 7699]; [691; 3782]; [3027; 9968]; [1121; 2612]; [4988; 8363]; [3584; 8573]; [3522; 7695]; [5669; 10976]; [8563; 9576]; [225; 7924]; [2400; 6837]; [10091; 11122]; [2552; 9860]; [1645; 10876]; [2517; 11559]; [2680; 6073]; [7126; 11531]; [1364; 2720]; [2572; 4850]; [2614; 8459]; [4293; 9420]; [3391; 11534]; [4480; 9246]; [774; 9270]; [6684; 7399]; [4065; 10724]; [7425; 10817]; [2814; 7766]; [8915; 9627]; [8519; 9627]; [4087; 8793]; [8049; 10644]; [796; 9968]; [163; 5891]; [3382; 4251]; [7766; 8077]; [2372; 3634]; [1632; 10240]; [1533; 3064]; [5948; 6203]; [1383; 10667]; [325; 934]; [2842; 10164]; [5615; 10689]; [2623; 4384]; [6014; 10206]; [3428; 9507]; [1783; 7376]; [3089; 3625]; [3392; 7598]; [31; 3870]; [9862; 11019]; [2202; 6047]; [1682; 3537]; [1234; 9039]; [9525; 10845]; [1024; 5257]; [4611; 10991]; [2020; 3532]; [117; 2109]; [9707; 10327]; [1679; 3239]; [2766; 11458]; [4977; 5864]; [2735; 5729]; [7282; 10485]; [2227; 4010]; [520; 1001]; [1022; 1397]; [3472; 9405]; [2701; 9528]; [2823; 4795]; [261; 8654]; [3504; 7408]; [5673; 6506]; [263; 8700]; [3007; 10739]; [11035; 11411]; [6572; 11264]; [1973; 3312]; [1121; 4035]; [5900; 9114]; [2999; 9343]; [9628; 11323]; [6132; 7959]; [5949; 9006]; [438; 3978]; [1382; 5473]; [6198; 9710]; [1621; 5489]; [3861; 5551]; [6512; 10809]; [781; 4317]; [3583; 9744]; [1183; 5263]; [2055; 8198]; [2518; 3004]; [3046; 9539]; [7122; 9048]; [4608; 9915]; [993; 11555]; [1717; 11586]; [1138; 1356]; [7350; 11127]; [1746; 10072]; [4100; 11202]; [4573; 7450]; [48; 9835]; [733; 3522]; [839; 4672]; [2425; 10360]; [3000; 6161]; [699; 8075]; [5901; 10813]; [7243; 7473]; [1075; 4390]; [4737; 8231]; [388; 6843]; [1723; 7994]; [5388; 6471]; [3674; 7953]; [7753; 11143]; [2813; 10068]; [8009; 8854]; [3871; 8467]; [230; 2470]; [8282; 8454]; [7008; 10208]; [615; 2311]; [595; 10704]; [588; 9533]; [5440; 9263]; [4232; 7133]; [983; 10062]; [1482; 7531]; [1712; 4021]; [673; 2666]; [110; 3492]; [4072; 8349]; [5500; 6281]; [8697; 8854]; [3096; 5064]; [5060; 9392]; [1412; 5607]; [1690; 4797]; [8154; 11436]; [9933; 10349]; [9305; 10780]; [2493; 9847]; [626; 8081]; [8251; 8336]; [5195; 10906]; [2801; 11131]; [5967; 7221]; [1885; 7897]; [8488; 10908]; [3222; 9094]; [359; 6397]; [4600; 7663]; [4490; 9777]; [2256; 6497]; [2533; 5085]; [2261; 7595]; [9656; 10606]; [6830; 10420]; [7670; 10811]; [418; 3190]; [7071; 9728]; [5457; 9162]; [2460; 3267]; [5660; 9521]; [6451; 10774]; [7261; 9825]; [2048; 8426]; [1879; 6897]; [7125; 9964]; [6013; 10548]; [7628; 8306]; [3325; 9572]; [2203; 8714]; [8682; 9969]; [6435; 8736]; [2758; 6492]; [1679; 3052]; [5813; 5949]; [2019; 3120]; [1539; 6455]; [577; 1348]; [6870; 11293]; [55; 8591]; [4286; 5759]; [10891; 11095]; [6377; 11360]; [1515; 5280]; [2485; 7996]; [4278; 4363]; [164; 8534]; [7268; 9841]; [5437; 9984]; [7708; 9359]; [3374; 4896]; [659; 2097]; [8291; 9185]; [2152; 5342]; [6797; 7223]; [5742; 7587]; [4555; 6334]; [8502; 10159]; [5792; 6950]; [95; 3452]; [5101; 7032]; [660; 2672]; [7124; 8557]; [6907; 10020]; [8099; 9365]; [4955; 10590]; [1342; 6641]; [3427; 9044]; [2677; 3628]; [368; 1517]; [6035; 7058]; [116; 11095]; [331; 6553]; [4379; 10430]; [5659; 7710]; [2256; 4537]; [1605; 10434]; [2514; 8710]; [4472; 9840]; [6466; 10627]; [324; 2349]; [1545; 8848]; [950; 5255]; [3040; 8002]; [3128; 4439]; [1144; 2088]; [1295; 2257]; [142; 6250]; [9323; 9345]; [6274; 7424]; [3251; 6724]; [761; 5733]; [231; 2535]; [3242; 8890]; [630; 2806]; [599; 1241]; [7973; 9791]; [10660; 11296]; [5796; 10051]; [8134; 10648]; [2995; 5226]; [2100; 4347]; [3239; 7838]; [3490; 5205]; [2595; 8490]; [7975; 9837]; [353; 1185]; [6046; 7947]; [1252; 5943]; [87; 2005]; [336; 2709]; [127; 8951]; [10822; 11250]; [1049; 8243]; [2174; 8618]; [374; 8828]; [2170; 11128]; [7681; 9740]; [8116; 9668]; [1767; 3541]; [4074; 8989]; [3141; 11036]; [6178; 9190]; [4411; 5376]; [488; 2699]; [4942; 11428]; [4500; 4667]; [2507; 10898]; [2471; 4825]; [4026; 11200]; [7455; 10336]; [3692; 5662]; [4858; 5314]; [10179; 10218]; [204; 9706]; [3621; 10333]; [5183; 10709]; [9868; 11265]; [2497; 6396]; [4122; 11258]; [5757; 7039]; [2185; 2337]; [4363; 7937]; [4927; 9965]; [4381; 8516]; [6607; 8118]; [5633; 7912]; [7935; 8852]; [2174; 7813]; [9455; 9756]; [460; 2879]; [4006; 9770]; [4475; 8528]; [2572; 7859]; [676; 1191]; [2823; 5226]; [4815; 5186]; [3380; 3831]; [11187; 11482]; [9377; 11004]; [475; 908]; [4337; 5561]; [1632; 9866]; [4715; 11371]; [1315; 7715]; [6803; 11039]; [9616; 10239]; [3365; 5401]; [9748; 10358]; [8683; 10034]; [1030; 2069]; [3055; 4421]; [3614; 6105]; [4820; 5156]; [6268; 10880]; [558; 3013]; [4730; 8646]; [2491; 5776]; [2931; 5294]; [6807; 10407]; [9921; 11225]; [10074; 11467]; [5724; 7225]; [803; 3194]; [4963; 7312]; [1764; 8830]; [2297; 11545]; [298; 8162]; [1268; 10878]; [5336; 6362]; [1091; 8737]; [3866; 5171]; [6512; 10085]; [1624; 5036]; [344; 586]; [543; 4179]; [786; 1685]; [3334; 6064]; [7162; 7723]; [2845; 2867]; [9; 4245]; [3966; 5752]; [4494; 8123]; [2154; 10863]; [13; 10780]; [2157; 8882]; [378; 3553]; [1300; 9261]; [6563; 10023]; [873; 9948]; [8099; 9178]; [3636; 9031]; [659; 8676]; [5258; 10212]; [1583; 4631]; [7596; 10809]; [8305; 9054]; [1746; 6315]; [6572; 11240]; [2517; 6192]; [3795; 6809]; [6935; 8848]; [2515; 3113]; [4261; 6050]; [183; 5714]; [456; 4560]; [8668; 10799]; [868; 9200]; [1553; 3641]; [4373; 9674]; [4529; 10187]; [3787; 9550]; [702; 7218]; [2918; 6886]; [4506; 8483]; [9969; 10087]; [2630; 9637]; [1100; 5012]; [6769; 7216]; [1373; 6864]; [7415; 11528]; [1744; 8497]; [5632; 8709]; [3149; 4725]; [437; 5607]; [6168; 8689]; [2799; 5100]; [3669; 4202]; [6325; 9804]; [6005; 10388]; [5320; 10285]; [6745; 8700]; [4296; 4300]; [9791; 10323]; [4259; 10834]; [2567; 8133]; [299; 6023]; [1913; 3179]; [3434; 7718]; [1976; 4659]; [7547; 9738]; [5458; 5681]; [1442; 4725]; [4248; 6888]; [2725; 5686]; [4614; 11183]; [9163; 11104]; [565; 7835]; [9064; 10344]; [1843; 2036]; [4210; 9787]; [5800; 6549]; [5736; 9008]; [1088; 6075]; [3266; 5259]; [4673; 8730]; [9802; 10458]; [6414; 11323]; [160; 552]; [3272; 6205]; [1515; 5361]; [5606; 10066]; [2454; 6512]; [5824; 11457]; [8773; 9764]; [5438; 11421]; [8085; 8609]; [6552; 10102]; [5841; 8778]; [6458; 8188]; [4889; 5887]; [7755; 8855]; [977; 10916]; [6624; 8665]; [3805; 11148]; [2501; 2894]; [3122; 5456]; [1403; 6594]; [3213; 4820]; [4611; 7047]; [6223; 10950]; [4069; 6498]; [2388; 3956]; [9622; 10217]; [1214; 1410]; [7148; 10513]; [6282; 11530]; [3886; 4512]; [9391; 11223]; [2443; 10429]; [1796; 6646]; [506; 8678]; [361; 5291]; [304; 4757]; [493; 7662]; [354; 4120]; [8636; 8846]; [362; 2483]; [1033; 10824]; [360; 5820]; [6703; 9466]; [5612; 7921]; [2348; 8290]; [4014; 5636]; [8670; 11059]; [1095; 2253]; [5261; 10323]; [1493; 8715]; [2269; 2520]; [4137; 7140]; [7714; 9180]; [685; 9710]; [4699; 6089]; [3198; 8618]; [4724; 7085]; [6630; 8025]; [2169; 2289]; [2989; 8444]; [4293; 10282]; [21; 7451]; [3257; 9198]; [2512; 9044]; [4348; 8491]; [772; 2889]; [2353; 7479]; [3843; 6289]; [3510; 10775]; [10760; 11153]; [1600; 1765]; [5027; 7244]; [825; 9316]; [1906; 3757]; [3686; 5524]; [5886; 6187]; [6908; 9847]; [8754; 9982]; [7124; 7378]; [119; 10214]; [2180; 8059]; [5418; 10633]; [2388; 8762]; [182; 8284]; [3351; 8809]; [5353; 9457]; [1244; 7556]; [4904; 4935]; [3600; 8732]; [954; 1566]; [1358; 5591]; [1111; 11349]; [5022; 6095]; [2850; 10863]; [190; 1355]; [4735; 6038]; [514; 3896]; [2723; 8809]; [5607; 5967]; [1744; 7505]; [2623; 4441]; [283; 7181]; [9133; 11425]; [336; 4563]; [4888; 10417]; [160; 6781]; [5443; 8195]; [8273; 11506]; [1580; 9733]; [10291; 10435]; [5568; 7143]; [2453; 6854]; [7332; 10659]; [3512; 8861]; [1105; 9625]; [3264; 8759]; [4222; 4298]; [3850; 8102]; [6276; 11552]; [2575; 11166]; [975; 8054]; [7805; 9536]; [3091; 9770]; [5455; 11588]; [3750; 4488]; [4025; 6413]; [1129; 5488]; [5239; 10243]; [1820; 8789]; [2462; 5812]; [1009; 10267]; [3765; 8933]; [4860; 10597]; [2747; 6146]; [2055; 4872]; [995; 9056]; [4145; 5367]; [339; 7439]; [3140; 5848]; [1309; 4493]; [7280; 10445]; [55; 11063]; [5619; 8555]; [361; 1721]; [11157; 11242]; [1202; 2337]; [856; 1700]; [3044; 5736]; [329; 2937]; [2346; 10309]; [4598; 5470]; [2442; 10771]; [2590; 4253]; [5298; 6635]; [286; 3240]; [1256; 5956]; [4430; 6825]; [5491; 9659]; [531; 2290]; [6981; 8469]; [8712; 10374]; [2210; 8169]; [7065; 7416]; [10805; 11140]; [4242; 10911]; [9717; 9866]; [4648; 5183]; [9216; 11570]; [653; 5104]; [3238; 5578]; [7656; 8234]; [1061; 5838]; [1085; 3980]; [747; 7368]; [2077; 8929]; [1860; 10392]; [2980; 4007]; [1698; 5900]; [2577; 2836]; [4843; 8283]; [7856; 8295]; [3196; 8735]; [2035; 2287]; [2604; 4659]; [16; 10303]; [5871; 8725]; [5926; 8432]; [3810; 4464]; [4436; 7370]; [1944; 6306]; [1104; 2128]; [8041; 10677]; [2002; 3278]; [7578; 8701]; [3958; 6964]; [6287; 9727]; [6636; 10635]; [5765; 11308]; [3208; 9095]; [1773; 10746]; [1496; 5742]; [1329; 6568]; [9393; 9903]; [8211; 8994]; [1891; 7769]; [2770; 8869]; [9712; 11346]; [5660; 10733]; [3325; 7401]; [1110; 11341]; [4971; 6724]; [1418; 9242]; [4310; 7015]; [547; 5751]; [1981; 11045]; [7834; 9394]; [614; 10356]; [4026; 10639]; [537; 2030]; [421; 10715]; [1317; 8786]; [1100; 10249]; [2774; 5204]; [1416; 8765]; [2655; 3792]; [5858; 9563]; [1806; 8196]; [32; 9627]; [1999; 5558]; [5636; 7649]; [6405; 10082]; [7119; 9425]; [6398; 8911]; [6525; 8686]; [2967; 4444]; [3378; 8859]; [6456; 10020]; [5332; 6083]; [7224; 8845]; [2783; 8649]; [715; 9633]; [5293; 10292]; [9718; 9955]; [3803; 5066]; [7507; 8379]; [630; 635]; [1003; 9511]; [3116; 8300]; [2801; 2812]; [1412; 4054]; [2990; 4963]; [4330; 7212]; [876; 7457]; [2027; 6801]; [812; 9916]; [4976; 5108]; [461; 8935]; [2323; 3187]; [765; 9346]; [4629; 10662]; [4947; 10005]; [3111; 3388]; [5695; 7424]; [7273; 9087]; [984; 7175]; [2510; 8648]; [6457; 9467]; [1455; 6760]; [2720; 3008]; [2783; 7494]; [8514; 10576]; [1487; 5517]; [9448; 11383]; [3187; 5857]; [7581; 10371]; [3464; 3691]; [81; 2648]; [1891; 3126]; [3157; 9398]; [1424; 10830]; [1753; 9608]; [4367; 5939]; [9328; 9746]; [8; 3109]; [1035; 7113]; [3218; 10805]; [1568; 7576]; [5993; 7239]; [193; 6272]; [2911; 9342]; [4683; 11248]; [1569; 4014]; [2529; 6796]; [793; 4547]; [1094; 1277]; [4428; 9975]; [412; 11271]; [1382; 7571]; [6301; 8523]; [1590; 8274]; [10516; 10850]; [6882; 8276]; [5569; 7850]; [2300; 3711]; [211; 10234]; [7121; 7538]; [5602; 7209]; [1741; 5410]; [2849; 8090]; [1613; 10328]; [1924; 7746]; [931; 9742]; [861; 1833]; [5711; 7152]; [3472; 10698]; [10631; 10958]; [5841; 6444]; [4721; 6413]; [2386; 3081]; [1606; 6124]; [6587; 7954]; [2915; 9060]; [47; 9429]; [3323; 4159]; [3684; 11520]; [3940; 9231]; [3625; 3743]; [2938; 6977]; [4999; 5576]; [8036; 10146]; [7294; 9509]; [4558; 11495]; [4897; 10961]; [2751; 10534]; [163; 9762]; [3981; 8481]; [10147; 10737]; [3793; 8430]; [5854; 7029]; [1153; 7468]; [5487; 5515]; [8284; 9844]; [3053; 7839]; [3395; 10986]; [5009; 5890]; [1425; 6843]; [2333; 8681]; [5664; 7282]; [1366; 5482]; [2020; 4020]; [932; 6156]; [2203; 6356]; [5687; 8205]; [4622; 7881]; [3670; 9878]; [1803; 8866]; [9518; 11293]; [2696; 9672]; [8699; 10998]; [1980; 3840]; [2417; 3841]; [5341; 10951]; [520; 11288]; [3689; 4643]; [9752; 10184]; [10106; 11436]; [6395; 10362]; [7448; 9171]; [5956; 7282]; [7671; 10906]; [2747; 9610]; [1343; 3404]; [30; 10148]; [2159; 5653]; [7531; 7893]; [5944; 9150]; [2838; 5941]; [1315; 11155]; [2647; 2963]; [3612; 5335]; [628; 7973]; [5382; 6414]; [4984; 9751]; [1364; 11047]; [1180; 2070]; [4237; 8770]; [10799; 11026]; [584; 7674]; [1962; 5489]; [7280; 10876]; [4169; 7323]; [2331; 11213]; [824; 10544]; [579; 9959]; [457; 2614]; [3015; 7681]; [1663; 8081]; [3909; 11341]; [7302; 11574]; [4064; 6748]; [8323; 10845]; [6616; 11246]; [3280; 5885]; [1442; 9775]; [3589; 6640]; [2185; 6850]; [6390; 9213]; [597; 1089]; [7453; 8710]; [31; 2398]; [3962; 5690]; [3429; 5227]; [8385; 8690]; [4577; 9935]; [594; 11371]; [3085; 8046]; [2310; 11433]; [3586; 9725]; [4670; 7847]; [9872; 10585]; [2290; 7024]; [4297; 8016]; [3022; 11080]; [1494; 3118]; [2017; 5145]; [2824; 3925]; [2855; 5490]; [1514; 10186]; [3356; 7169]; [1107; 5109]; [4407; 9315]; [6308; 9157]; [1009; 2322]; [4400; 8144]; [3932; 5824]; [3042; 8699]; [5735; 9295]; [1475; 1563]; [8950; 10919]; [2315; 8370]; [660; 1387]; [8500; 9178]; [3004; 9346]; [4114; 4525]; [8102; 8351]; [827; 9606]; [5519; 11333]; [2472; 6075]; [6816; 10502]; [7194; 9142]; [9; 3497]; [3742; 6050]; [934; 6470]; [960; 1275]; [2713; 5383]; [3179; 4624]; [5656; 10291]; [1714; 7564]; [7500; 9599]; [3269; 6769]; [5383; 8412]; [4008; 7108]; [3982; 5887]; [44; 2178]; [5165; 10404]; [733; 8816]; [2256; 3602]; [26; 4982]; [1980; 10874]; [490; 9812]; [5474; 11159]; [7729; 11529]; [2409; 10233]; [4871; 6924]; [5060; 9075]; [8726; 10406]; [9445; 10093]; [7234; 8517]; [4550; 7283]; [5023; 9947]; [1666; 2955]; [2595; 10588]; [410; 10233]; [40; 5038]; [1413; 9679]; [1184; 3211]; [7546; 9543]; [2226; 8247]; [688; 5259]; [3145; 3858]; [4930; 10133]; [8569; 9641]; [3576; 10460]; [1652; 8160]; [217; 9811]; [5843; 5929]; [3573; 9408]; [8934; 11459]; [3979; 4434]; [4385; 5122]; [4223; 4794]; [3142; 11107]; [3574; 6600]; [62; 2703]; [5242; 7402]; [3600; 11204]; [274; 10695]; [7304; 8855]; [3839; 11220]; [4659; 10959]; [3420; 9516]; [3682; 7072]; [1204; 7596]; [2109; 5753]; [6651; 10919]; [3169; 5733]; [8952; 9005]; [824; 1713]; [9037; 10052]; [565; 3704]; [3271; 8669]; [2901; 3474]; [6333; 9297]; [447; 5146]; [6145; 9246]; [5739; 8558]; [5916; 9948]; [4527; 11190]; [45; 10993]; [3638; 7150]; [1525; 9115]; [910; 9751]; [4894; 9671]; [1807; 11430]; [3015; 7144]; [2151; 4824]; [7247; 11330]; [1904; 8330]; [488; 609]; [8299; 9914]; [8242; 9380]; [1735; 6077]; [337; 10239]; [1796; 9736]; [1109; 6554]; [8142; 9149]; [6392; 8722]; [1173; 7478]; [6899; 10216]; [1732; 9162]; [3864; 4995]; [112; 8027]; [3374; 4579]; [3160; 10477]; [412; 5286]; [5135; 8578]; [8568; 10839]; [2670; 9337]; [471; 5866]; [2494; 11555]; [6107; 9088]; [4677; 11083]; [190; 3372]; [5940; 10668]; [8094; 8704]; [1764; 7545]; [6495; 8446]; [3765; 8722]; [3830; 9117]; [3546; 9358]; [5334; 5381]; [9139; 9500]; [4882; 7701]; [2814; 8685]; [10909; 11333]; [114; 11082]; [4129; 6151]; [410; 10851]; [637; 3660]; [4778; 9980]; [788; 10245]; [1936; 8537]; [3452; 8568]; [4114; 7721]; [708; 10666]; [7070; 10582]; [721; 8619]; [1743; 5863]; [7529; 8652]; [3921; 4293]; [2302; 7547]; [2238; 5842]; [3733; 4996]; [1137; 3609]; [188; 11539]; [4417; 5628]; [794; 5872]; [8858; 9207]; [8615; 9449]; [3937; 5176]; [7987; 9880]; [726; 4425]; [406; 2757]; [6601; 10669]; [4054; 9898]; [2247; 2521]; [1443; 10832]; [4013; 6110]; [3584; 7882]; [1958; 5801]; [6342; 9627]; [717; 7695]; [7532; 8145]; [438; 8280]; [3399; 8102]; [1620; 9189]; [2552; 9169]; [1833; 3820]; [1918; 9785]; [8168; 10988]; [269; 3748]; [4717; 7744]; [3526; 9755]; [3151; 3462]; [296; 4790]; [907; 6664]; [6264; 7061]; [4896; 6928]; [1291; 9256]; [9223; 10220]; [2587; 4817]; [3645; 3970]; [6630; 8350]; [9967; 10903]; [5519; 9536]; [3; 4164]; [4170; 10207]; [1020; 1064]; [1812; 11587]; [4856; 6748]; [6597; 9341]; [752; 5191]; [100; 1064]; [1965; 6167]; [6510; 10850]; [367; 8763]; [4536; 8463]; [866; 3980]; [4912; 11194]; [9300; 10975]; [4539; 4947]; [7455; 11442]; [2161; 4951]; [4996; 6354]; [445; 10524]; [99; 3471]; [2124; 5823]; [1356; 3211]; [6581; 7653]; [7668; 9456]; [4772; 10783]; [94; 6510]; [257; 7440]; [6420; 10933]; [7913; 9260]; [1753; 10202]; [2113; 4129]; [1309; 6778]; [4607; 9403]; [5068; 10552]; [5536; 5702]; [2236; 6414]; [780; 6434]; [3333; 11157]; [11203; 11243]; [4792; 8402]; [4735; 7868]; [535; 6603]; [6469; 9290]; [6809; 10112]; [2332; 10259]; [735; 5910]; [427; 5757]; [2980; 10480]; [3659; 10768]; [3846; 6430]; [2507; 11199]; [2344; 3853]; [138; 4873]; [6982; 10979]; [951; 1189]; [903; 7564]; [435; 5998]; [1250; 5393]; [4214; 11148]; [8316; 9626]; [4039; 5697]; [6814; 9301]; [6920; 10451]; [6349; 11416]; [303; 2846]; [7620; 10862]; [1343; 4803]; [1701; 8483]; [7802; 10344]; [7752; 10981]; [121; 6747]; [3445; 4177]; [838; 3355]; [1278; 10043]; [5564; 10328]; [82; 10956]; [1761; 5501]; [6874; 9702]; [8543; 10729]; [7144; 11283]; [8300; 10971]; [1832; 7596]; [2316; 4033]; [707; 805]; [2233; 8694]; [8384; 9918]; [7241; 8183]; [3473; 6575]; [7764; 7958]; [1296; 10999]; [1409; 2016]; [5586; 7993]; [2993; 6877]; [5794; 8696]; [7111; 9241]; [2722; 5071]; [9129; 10422]; [4303; 10415]; [7247; 8378]; [2589; 5481]; [774; 4659]; [6; 8463]; [431; 7703]; [6654; 10493]; [1962; 2350]; [6597; 9959]; [6002; 6366]; [3266; 4942]; [2581; 11255]; [2512; 6954]; [459; 8970]; [3580; 3789]; [1049; 9967]; [2857; 9618]; [10546; 11578]; [8799; 10668]; [1865; 5800]; [270; 3032]; [4695; 6859]; [8590; 10494]; [1417; 11302]; [1133; 11543]; [7139; 10134]; [6743; 10134]; [1915; 2130]; [3465; 8161]; [5995; 8928]; [197; 4624]; [2010; 9537]; [1695; 4049]; [6519; 7393]; [8260; 9986]; [7854; 9298]; [3186; 5713]; [5082; 5965]; [2804; 3167]; [374; 9397]; [1869; 8551]; [3522; 9045]; [1681; 9254]; [5631; 9590]; [3210; 7238]; [5202; 7198]; [5104; 10827]; [8777; 9165]; [1124; 1200]; [7383; 10063]; [10151; 10244]; [6164; 9272]; [3521; 8793]; [4730; 11525]; [3543; 3856]; [10569; 10942]; [951; 11256]; [4031; 6828]; [180; 5717]; [445; 538]; [5683; 9349]; [1197; 5246]; [2995; 8373]; [4999; 6438]; [6950; 9807]; [6102; 8020]; [6167; 9169]; [6235; 6829]; [1187; 7941]; [1722; 5067]; [4826; 7449]; [5540; 6038]; [5426; 9134]; [10087; 11548]; [6202; 10853]; [3423; 10513]; [3340; 8758]; [1778; 1966]; [1744; 5765]; [997; 11200]; [118; 7848]; [2549; 4472]; [613; 7827]; [9453; 10629]; [4506; 7629]; [2455; 4056]; [3945; 10036]; [151; 7207]; [7432; 9150]; [484; 8356]; [2855; 4929]; [394; 9594]; [3876; 10616]; [11071; 11287]; [4925; 9683]; [3559; 6967]; [1754; 2669]; [5281; 5346]; [8042; 10018]; [4434; 6413]; [9065; 10116]; [3528; 10283]; [2657; 5294]; [5514; 10428]; [6412; 11578]; [1128; 5775]; [3031; 7198]; [1589; 11088]; [9524; 11569]; [2772; 8435]; [6220; 8375]; [8212; 8335]; [3914; 9945]; [4603; 10921]; [778; 8779]; [1182; 9394]; [583; 1895]; [1450; 1480]; [2912; 11074]; [6814; 9464]; [6498; 10167]; [6369; 8067]; [6427; 11455]; [6680; 9649]; [944; 2813]; [5403; 5470]; [315; 3019]; [3372; 9719]; [2752; 10011]; [471; 3532]; [780; 10703]; [6793; 10465]; [7944; 9809]; [1786; 7414]; [1686; 10216]; [9683; 11575]; [900; 2891]; [1746; 3851]; [5233; 9381]; [8285; 9321]; [4913; 7713]; [63; 2367]; [302; 8045]; [1052; 2881]; [1019; 6905]; [3949; 5162]; [4689; 5726]; [888; 8142]; [5025; 9058]; [5147; 9987]; [10352; 10744]; [10125; 11519]; [5519; 8812]; [2568; 9678]; [792; 8030]; [6267; 6985]; [3994; 10947]; [3803; 7969]; [976; 10591]; [4147; 7779]; [2777; 6819]; [1125; 7681]; [2835; 4545]; [3237; 8497]; [1830; 2774]; [1556; 10119]; [4272; 10110]; [2025; 8877]; [6416; 7458]; [6815; 6975]; [3212; 10130]; [5943; 10429]; [6965; 7673]; [409; 8615]; [6001; 8155]; [2491; 5085]; [3293; 5773]; [110; 654]; [3756; 4716]; [4196; 4988]; [3695; 6692]; [1417; 3894]; [4187; 7154]; [448; 10448]; [6246; 8336]; [3937; 6225]; [5869; 6134]; [487; 3960]; [974; 9740]; [6388; 10671]; [4526; 10003]; [4615; 8540]; [4492; 7386]; [2057; 6856]; [7483; 9302]; [9873; 10089]; [2930; 10393]; [3983; 9202]; [10617; 10772]; [932; 9864]; [225; 1866]; [1995; 9361]; [7967; 9122]; [548; 6491]; [737; 9396]; [6941; 7972]; [3698; 9218]; [4544; 10178]; [3856; 4142]; [3381; 7067]; [215; 4561]; [4762; 9317]; [1104; 1461]; [4761; 5682]; [6674; 7069]; [4779; 10425]; [4908; 6109]; [1138; 10090]; [4865; 5281]; [8022; 9179]; [7201; 9215]; [697; 6183]; [2823; 9341]; [2071; 7262]; [2196; 6210]; [5730; 7422]; [566; 4387]; [4950; 8213]; [6312; 7777]; [841; 3279]; [8714; 9298]; [7805; 9487]; [1554; 11065]; [584; 1933]; [489; 4325]; [124; 3638]; [2364; 3700]; [6125; 8301]; [9356; 9704]; [8213; 8723]; [3196; 4230]; [1076; 5024]; [4508; 10847]; [267; 3165]; [4585; 8623]; [509; 2698]; [8602; 10935]; [238; 892]; [1516; 8679]; [317; 5911]; [3682; 4096]; [6080; 11160]; [4834; 6294]; [5546; 10472]; [6924; 9041]; [8543; 10705]; [341; 1020]; [2832; 4865]; [591; 10994]; [5112; 11119]; [532; 1719]; [5481; 10427]; [6279; 7963]; [4808; 6951]; [4324; 11268]; [5721; 6100]; [3345; 9183]; [139; 7278]; [7539; 10633]; [1756; 7361]; [11057; 11312]; [1100; 5744]; [6599; 9257]; [976; 3988]; [2875; 7921]; [5583; 9549]; [9975; 10984]; [1374; 10450]; [130; 8663]; [7012; 10335]; [844; 7252]; [1589; 5908]; [216; 1267]; [5885; 7635]; [7693; 11450]; [6423; 10694]; [811; 9024]; [2467; 9789]; [3768; 5694]; [3986; 7085]; [3617; 4744]; [28; 5353]; [1903; 10390]; [403; 4476]; [334; 8843]; [1989; 3748]; [401; 7032]; [4909; 6952]; [4102; 5166]; [5246; 9755]; [1512; 9229]; [803; 8732]; [2319; 8763]; [3995; 6797]; [1918; 2003]; [7678; 9987]; [8977; 11481]; [4190; 10648]; [5028; 7583]; [7146; 10126]; [1731; 5560]; [795; 8090]; [361; 11016]; [2596; 10734]; [4970; 6824]; [2374; 5437]; [4901; 8939]; [1482; 8239]; [732; 6987]; [2256; 11043]; [565; 8567]; [2935; 7167]; [8587; 10922]; [9712; 11297]; [7318; 11522]; [3139; 3964]; [1155; 8783]; [3977; 5063]; [4117; 11459]; [2405; 7352]; [4105; 9944]; [7806; 8078]; [1742; 10980]; [1403; 5098]; [312; 10723]; [1960; 10119]; [8111; 11343]; [962; 5355]; [6994; 11583]; [7030; 11240]; [22; 10395]; [2601; 9923]; [182; 1982]; [3284; 6947]; [6896; 11425]; [5647; 9294]; [6089; 6229]; [5927; 11563]; [7921; 8186]; [4710; 8189]; [2449; 7250]; [2504; 6957]; [228; 822]; [570; 4723]; [6017; 7292]; [7584; 8766]; [5423; 7307]; [9010; 10035]; [1541; 4631]; [7193; 8386]; [2523; 8138]; [105; 5303]; [3465; 9560]; [6199; 10157]; [3489; 7702]; [4046; 8559]; [7072; 7278]; [5661; 6317]; [6970; 9253]; [1831; 3831]; [800; 9507]; [3828; 7518]; [8981; 10394]; [889; 11427]; [10980; 11525]; [2950; 7020]; [8012; 10532]; [9548; 9687]; [4037; 4659]; [515; 6490]; [427; 4391]; [5430; 10706]; [3475; 9093]; [442; 1289]; [2664; 10571]; [1382; 5294]; [2404; 2538]; [2343; 10930]; [5459; 6159]; [3303; 6542]; [755; 2917]; [1942; 4170]; [1434; 8867]; [1432; 8794]; [1463; 8107]; [1058; 10273]; [6258; 9932]; [8216; 11062]; [2588; 5449]; [2180; 9596]; [2356; 5880]; [9706; 9872]; [4859; 10486]; [5203; 11050]; [5506; 8607]; [8961; 11216]; [5687; 10116]; [830; 3626]; [4109; 9207]; [3319; 10808]; [4100; 11373]; [146; 7131]; [5056; 10249]; [4683; 8166]; [550; 8123]; [2123; 2272]; [3786; 9870]; [9445; 11386]; [4557; 9747]; [7351; 11149]; [8130; 10133]; [9007; 11160]; [9377; 9939]; [7723; 9974]; [446; 3986]; [5948; 11180]; [5139; 9321]; [373; 8611]; [3852; 10116]; [4583; 11318]; [4614; 6467]; [1051; 1881]; [777; 2810]; [1800; 9324]; [155; 6439]; [1058; 6435]; [841; 7898]; [6712; 6853]; [2696; 7395]; [7002; 9810]; [8127; 10185]; [894; 6778]; [581; 2117]; [7275; 10908]; [140; 8790]; [1462; 9679]; [6247; 7433]; [3220; 9243]; [3989; 6041]; [5181; 7638]; [6743; 8768]; [1452; 5958]; [7083; 11088]; [511; 1728]; [4022; 7652]; [1291; 4320]; [4615; 8166]; [8947; 9550]; [480; 5798]; [2436; 3095]; [2274; 11435]; [970; 2427]; [2936; 10588]; [1969; 10799]; [6379; 9430]; [3144; 10537]; [1057; 7307]; [1690; 4968]; [2795; 3967]; [2048; 2986]; [7350; 9338]; [2923; 8848]; [1402; 8473]; [3580; 11067]; [10297; 10982]; [3984; 5266]; [2828; 3326]; [7156; 9472]; [2507; 3685]; [2732; 6247]; [4628; 6499]; [951; 6507]; [5849; 6582]; [4655; 10574]; [3225; 10317]; [3999; 8957]; [5160; 9743]; [4043; 9229]; [1011; 10695]; [4318; 4738]; [7021; 10186]; [3590; 7971]; [2571; 7992]; [6420; 9030]; [7508; 9523]; [443; 8144]; [3550; 7791]; [7569; 10930]; [4740; 6309]; [9900; 10356]; [3962; 10179]; [6192; 8799]; [9276; 10906]; [6072; 7916]; [11237; 11553]; [1249; 6672]; [4351; 5975]; [1794; 3762]; [5782; 7588]; [5224; 9512]; [952; 5927]; [3608; 11529]; [2082; 4394]; [4933; 6330]; [3138; 6884]; [9522; 10531]; [1291; 2360]; [5716; 6187]; [1829; 9583]; [454; 9033]; [1414; 11061]; [3680; 10092]; [3344; 10143]; [2726; 11262]; [9753; 9905]; [4216; 10072]; [911; 6276]; [3741; 6581]; [2345; 11570]; [1745; 3469]; [5953; 8759]; [2811; 6647]; [5196; 7090]; [5134; 6212]; [2071; 6083]; [1974; 6150]; [6814; 10781]; [7004; 7872]; [813; 9501]; [4080; 7151]; [2151; 4507]; [1466; 4404]; [3262; 6704]; [7778; 10649]; [7308; 7502]; [374; 9804]; [3129; 4862]; [2480; 6668]; [4668; 10704]; [5599; 7830]; [4842; 5407]; [1910; 4071]; [2104; 7320]; [84; 5312]; [4993; 5576]; [1419; 7217]; [8860; 11327]; [2698; 11442]; [5644; 10232]; [9883; 11425]; [9255; 11102]; [633; 3275]; [1567; 11252]; [9536; 10563]; [1062; 9050]; [2720; 9888]; [1994; 9784]; [5486; 9242]; [8791; 9628]; [5135; 8261]; [1279; 10970]; [200; 6776]; [400; 3454]; [1561; 3486]; [4298; 8518]; [3587; 8692]; [1655; 7285]; [803; 8008]; [5944; 7841]; [4416; 5541]; [4168; 8445]; [8647; 9125]; [4476; 6346]; [6716; 9818]; [1645; 11478]; [2679; 10237]; [150; 5908]; [905; 5252]; [9989; 10666]; [528; 3050]; [6159; 8180]; [2353; 10252]; [460; 3855]; [7147; 9223]; [8774; 10748]; [2635; 6151]; [455; 6894]; [6893; 11558]; [6580; 6897]; [7772; 8494]; [1193; 4379]; [1998; 9502]; [1848; 5771]; [874; 5565]; [6641; 8304]; [7606; 10676]; [5400; 6034]; [5230; 7343]; [5949; 7030]; [68; 7387]; [3583; 10801]; [1752; 3030]; [2443; 6331]; [4981; 10022]; [4329; 5895]; [3551; 9011]; [3236; 3523]; [6004; 10120]; [963; 1823]; [2368; 10883]; [1186; 9974]; [307; 6622]; [1179; 6551]; [9709; 10625]; [6934; 7775]; [6125; 11578]; [2636; 2969]; [1488; 7306]; [5569; 7159]; [2895; 4361]; [7622; 8526]; [10385; 10615]; [684; 9174]; [2169; 7640]; [496; 9123]; [4290; 9700]; [1728; 10149]; [6802; 8006]; [3091; 6932]; [9136; 11113]; [4186; 8596]; [5123; 9674]; [6582; 9171]; [9758; 10867]; [949; 962]; [10898; 11550]; [9258; 9763]; [791; 3005]; [3530; 3946]; [8220; 11262]; [5611; 9613]; [470; 3364]; [1003; 10243]; [4386; 5624]; [8587; 9743]; [1863; 5247]; [1305; 10581]; [1582; 9169]; [771; 3477]; [86; 3374]; [583; 4180]; [3790; 7441]; [7461; 9116]; [1153; 10160]; [685; 7840]; [2793; 5531]; [3161; 10653]; [186; 10371]; [21; 2198]; [4193; 7831]; [6593; 10060]; [9077; 9728]; [10298; 10565]; [4412; 10578]; [5315; 5656]; [2044; 11270]; [7020; 8592]; [3286; 5814]; [4896; 9644]; [7079; 9172]; [8231; 11370]; [2428; 6722]; [7696; 7828]; [6481; 10943]; [2093; 8129]; [7483; 10164]; [8032; 11160]; [2022; 9417]; [5423; 9511]; [748; 11171]; [10555; 10756]; [3203; 5937]; [1866; 8123]; [1528; 11511]; [2175; 8878]; [7691; 7834]; [1244; 5336]; [5946; 7751]; [8809; 11202]; [3475; 7564]; [8156; 9102]; [10166; 10422]; [6096; 8449]; [2691; 10865]; [8551; 9631]; [924; 7051]; [6237; 7176]; [2952; 8920]; [7307; 7844]; [10949; 11033]; [9767; 10124]; [7355; 10544]; [3465; 3843]; [2573; 5891]; [3815; 5353]; [1167; 3776]; [8479; 11448]; [3190; 5301]; [2341; 9705]; [2134; 6194]; [251; 6177]; [4867; 7320]; [7754; 11165]; [9629; 9786]; [899; 11316]; [8249; 8892]; [30; 2236]; [2891; 4860]; [88; 1460]; [9839; 10535]; [1245; 4756]; [2766; 9295]; [2391; 3002]; [4071; 8325]; [3663; 6056]; [6970; 10652]; [6836; 7454]; [1177; 6692]; [3532; 4260]; [913; 1169]; [6826; 10149]; [2251; 2591]; [1597; 1801]; [132; 11157]; [3210; 11564]; [5858; 6725]; [5889; 6038]; [127; 4397]; [8934; 11223]; [5818; 7326]; [3149; 7124]; [379; 4618]; [5852; 6910]; [3240; 7242]; [4261; 10677]; [3139; 3403]; [2951; 10522]; [2431; 8012]; [6249; 6731]; [337; 1359]; [2239; 11225]; [4758; 8450]; [2705; 10466]; [5198; 8722]; [3885; 8296]; [5225; 10545]; [1137; 9521]; [2642; 9363]; [7863; 10653]; [8792; 11116]; [237; 10927]; [1691; 3664]; [3931; 7890]; [753; 9531]; [2532; 8444]; [3526; 3640]; [2440; 8855]; [4336; 9107]; [3462; 8351]; [757; 3988]; [2873; 7956]; [5878; 7326]; [4516; 4729]; [2736; 5591]; [4790; 8681]; [624; 10410]; [7057; 10566]; [2824; 11073]; [1174; 4434]; [1676; 9748]; [1977; 6478]; [6813; 11337]; [3907; 5560]; [4399; 5268]; [3447; 7265]; [856; 2058]; [6611; 9698]; [1226; 1591]; [1232; 11205]; [3443; 10529]; [1542; 3517]; [1411; 7006]; [2443; 10600]; [7393; 10865]; [2314; 8500]; [11094; 11251]; [4179; 6433]; [6073; 10022]; [68; 8623]; [2963; 10077]; [4675; 7768]; [1621; 4749]; [5182; 9262]; [4791; 8882]; [1685; 5673]; [434; 9131]; [8689; 9028]; [9429; 9592]; [736; 801]; [5130; 5315]; [7435; 9936]; [1896; 9276]; [5284; 9165]; [1426; 4631]; [1671; 3681]; [8682; 8961]; [3844; 6685]; [4192; 7368]; [517; 1787]; [1940; 5791]; [6425; 10423]; [5031; 11321]; [2188; 2860]; [3495; 9133]; [564; 4235]; [6885; 8314]; [8569; 10373]; [868; 4646]; [9457; 10835]; [439; 8670]; [7010; 7262]; [9714; 11400]; [3455; 6701]; [2990; 10314]; [306; 412]; [4015; 11239]; [6286; 10614]; [8990; 9090]; [5217; 7138]; [4666; 9479]; [7807; 7956]; [6332; 9454]; [1165; 4990]; [9446; 9491]; [5857; 10100]; [6920; 9597]; [1034; 3194]; [10583; 10657]; [1694; 11346]; [445; 9215]; [228; 4262]; [5978; 11558]; [3330; 9981]; [8075; 9060]; [1525; 9847]; [1913; 9929]; [1029; 5479]; [1557; 7850]; [3699; 5125]; [2303; 9360]; [808; 3790]; [618; 10082]; [404; 9564]; [5903; 5907]; [3814; 6014]; [6563; 8397]; [7184; 10959]; [1422; 2148]; [5351; 8777]; [492; 2214]; [5065; 8191]; [6653; 10542]; [7520; 10127]; [4058; 5593]; [978; 8523]; [802; 6577]; [5065; 5158]; [320; 6079]; [4815; 11399]; [1295; 3477]; [4304; 5999]; [8443; 9994]; [5862; 9639]; [4468; 10537]; [7348; 10959]; [192; 10216]; [724; 1409]; [2561; 10126]; [7786; 8152]; [4730; 11476]; [6166; 7017]; [1224; 11531]; [4385; 7277]; [7556; 8629]; [4756; 9664]; [4453; 9855]; [9370; 9980]; [3701; 8530]; [6710; 6888]; [7346; 10482]; [3115; 7652]; [10450; 10612]; [2762; 10008]; [3877; 9695]; [3639; 10281]; [3906; 8181]; [4248; 11328]; [4191; 10794]; [609; 1994]; [4817; 8038]; [2938; 11173]; [9538; 10503]; [5648; 7966]; [9443; 11397]; [1912; 4361]; [5952; 8377]; [1509; 7354]; [953; 9351]; [7290; 9799]; [3788; 6590]; [7912; 8799]; [5978; 6565]; [781; 3390]; [2936; 5034]; [4298; 8762]; [937; 11450]; [189; 445]; [1209; 2524]; [3392; 6216]; [7368; 8527]; [3043; 5281]; [2767; 9547]; [1322; 9756]; [2884; 4470]; [4090; 9937]; [1074; 3238]; [4346; 7648]; [7026; 11392]; [5653; 7505]; [6181; 9876]; [3815; 11395]; [1038; 6964]; [9; 2887]; [4406; 11082]; [1220; 2282]; [4554; 5318]; [409; 10176]; [6923; 7480]; [5512; 6519]; [4460; 4902]; [2712; 5302]; [2435; 2550]; [408; 3535]; [1686; 11322]; [5353; 5708]; [9686; 9946]; [7850; 10499]; [1217; 9531]; [3548; 8957]; [1860; 9408]; [3862; 10810]; [5887; 5992]; [6071; 8553]; [2771; 2849]; [2050; 2335]; [4980; 7762]; [1833; 4552]; [7440; 9288]; [8185; 10196]; [1432; 10624]; [6096; 10303]; [3689; 11067]; [516; 7390]; [7460; 10694]; [2355; 6354]; [7515; 10401]; [3757; 9481]; [2415; 11323]; [6797; 7906]; [5554; 8973]; [9261; 10305]; [8292; 10443]; [603; 6985]; [1015; 10871]; [3341; 10707]; [786; 9321]; [2219; 7597]; [10054; 10880]; [5327; 10098]; [687; 2145]; [3675; 6796]; [4480; 11165]; [8470; 9402]; [1089; 6097]; [1797; 11287]; [2464; 3614]; [9427; 11132]; [9810; 10870]; [2849; 9871]; [5168; 6254]; [743; 2427]; [4815; 10862]; [9987; 10008]; [235; 7124]; [10697; 11107]; [10296; 10763]; [1896; 7479]; [6775; 9032]; [3444; 4015]; [3347; 10498]; [7452; 8493]; [3844; 4888]; [1574; 9121]; [8847; 10449]; [6199; 8872]; [4122; 6330]; [6898; 10536]; [4400; 6274]; [2784; 8291]; [2371; 6432]; [137; 10322]; [6818; 8328]; [6857; 7502]; [90; 9752]; [1463; 7977]; [4820; 7799]; [4444; 8451]; [3389; 9569]; [3239; 5838]; [4020; 6403]; [3731; 6300]; [5657; 7892]; [8062; 10465]; [2565; 2891]; [6067; 9453]; [4978; 5325]; [4713; 9780]; [4246; 4652]; [9488; 10953]; [319; 8649]; [422; 5364]; [1379; 1459]; [9979; 11190]; [201; 10091]; [9258; 11430]; [814; 2212]; [2726; 10514]; [5510; 10474]; [4863; 6691]; [1840; 5991]; [2719; 2927]; [5109; 10130]; [1599; 2896]; [637; 10621]; [5664; 7908]; [1068; 6643]; [7343; 9623]; [6730; 11086]; [2515; 8789]; [4200; 7286]; [1713; 10730]; [906; 4780]; [4918; 6748]; [7657; 8443]; [2232; 2435]; [2229; 8553]; [6335; 10156]; [5619; 7734]; [3413; 7256]; [5467; 10346]; [3879; 8749]; [512; 7485]; [4471; 6409]; [9295; 9753]; [4190; 10331]; [2494; 6757]; [6652; 8520]; [2313; 4467]; [1729; 10832]; [359; 10626]; [44; 2886]; [1349; 8332]; [7657; 10671]; [394; 8553]; [7940; 10205]; [672; 4333]; [3910; 6907]; [2320; 3729]; [4200; 9864]; [776; 2404]; [1882; 4257]; [2408; 3549]; [3846; 8585]; [5783; 8838]; [1294; 6716]; [1067; 7491]; [206; 9606]; [4380; 5486]; [4065; 4162]; [321; 2948]; [966; 4406]; [6392; 6852]; [258; 2599]; [5416; 5819]; [9367; 9763]; [292; 11228]; [5227; 6297]; [727; 11156]; [244; 7804]; [4972; 5024]; [3831; 4116]; [5387; 6929]; [9831; 11560]; [339; 1625]; [5882; 11072]; [4139; 7652]; [3540; 7323]; [1487; 2923]; [4195; 8715]; [1203; 3164]; [4348; 9711]; [6084; 7796]; [1227; 1306]; [3595; 10413]; [4493; 11563]; [598; 1512]; [1134; 2246]; [8227; 10554]; [1560; 10756]; [10159; 10463]; [1281; 4925]; [2065; 9171]; [310; 8400]; [2463; 9217]; [6816; 11478]; [3803; 11466]; [1334; 11352]; [2774; 10799]; [5534; 6201]; [1160; 3817]; [413; 8498]; [1468; 8134]; [8037; 11561]; [2279; 10039]; [2768; 6820]; [372; 5464]; [430; 9606]; [6285; 8028]; [2352; 8073]; [5992; 10435]; [448; 7179]; [1478; 4284]; [1543; 8843]; [4891; 5169]; [2481; 6359]; [446; 3319]; [6729; 11078]; [6773; 11350]; [1002; 11121]; [1193; 2021]; [6917; 7342]; [449; 11137]; [33; 4843]; [4365; 6227]; [1906; 7555]; [1116; 9156]; [679; 2739]; [7256; 10191]; [1709; 4008]; [5506; 10518]; [678; 2514]; [2047; 3249]; [1179; 10609]; [2232; 8664]; [4465; 5303]; [4163; 11354]; [2257; 3998]; [7771; 8543]; [395; 3330]; [4293; 9892]; [7638; 8953]; [9824; 9910]; [6646; 11551]; [11274; 11573]; [823; 4716]; [2248; 3131]; [3180; 3865]; [2128; 7910]; [3053; 7473]; [8414; 8770]; [33; 4038]; [6041; 9118]; [4425; 5473]; [7405; 9509]; [5729; 8065]; [4516; 5591]; [3707; 9394]; [5075; 7275]; [6795; 11243]; [1551; 8279]; [6189; 8989]; [4642; 7393]; [5356; 5982]; [7118; 9452]; [2610; 3870]; [2019; 6812]; [7683; 8672]; [5255; 9313]; [3133; 7028]; [2670; 5052]; [7835; 9443]; [10142; 10727]; [1582; 10194]; [2384; 4466]; [3077; 9348]; [297; 1236]; [10298; 11240]; [8731; 9766]; [4429; 8224]; [6703; 7116]; [6137; 8425]; [3437; 6658]; [5114; 5294]; [8159; 10479]; [1034; 9049]; [3797; 8132]; [199; 5215]; [8077; 11578]; [3647; 5155]; [340; 11112]; [1907; 5416]; [1217; 4969]; [10704; 11554]; [2366; 3486]; [60; 5056]; [163; 2525]; [2768; 7438]; [1750; 11067]; [3075; 11530]; [1590; 6648]; [147; 1268]; [3166; 7484]; [6834; 8888]; [4325; 10853]; [1362; 10204]; [10567; 11441]; [3607; 8358]; [142; 143]; [7735; 11440]; [144; 4353]; [5436; 10017]; [1546; 7480]; [1943; 3918]; [5499; 8087]; [3257; 7198]; [7168; 8360]; [4807; 6059]; [1386; 2280]; [252; 10487]; [8347; 8971]; [9158; 10876]; [7296; 10208]; [3775; 9231]; [6595; 8848]; [5129; 8180]; [1658; 7290]; [7188; 10116]; [309; 791]; [1109; 5570]; [364; 5416]; [5102; 9740]; [6380; 11111]; [5069; 7348]; [3973; 5459]; [2333; 3672]; [3258; 6645]; [6809; 10470]; [7462; 11035]; [6645; 8561]; [8148; 8330]; [1665; 10339]; [1412; 5729]; [10818; 11386]; [8103; 8587]; [2385; 6464]; [7858; 8756]; [2997; 11192]; [3563; 7631]; [7511; 7894]; [2215; 11156]; [8877; 11364]; [9648; 10487]; [4835; 10685]; [6177; 9597]; [1372; 3297]; [5630; 8704]; [3737; 8723]; [1056; 11170]; [65; 407]; [4474; 5983]; [5110; 9577]; [2139; 9067]; [4831; 10916]; [3513; 10146]; [6410; 8263]; [6348; 7385]; [5994; 6887]; [8854; 9286]; [2885; 9796]; [2949; 5085]; [2257; 10227]; [3692; 5166]; [6995; 8135]; [4223; 8966]; [1817; 2758]; [8040; 9712]; [9225; 10892]; [2033; 7486]; [5049; 7769]; [3029; 9925]; [262; 6936]; [4589; 9474]; [5019; 9058]; [7950; 10169]; [10; 2928]; [5118; 6785]; [4514; 7610]; [787; 6003]; [6812; 8808]; [1159; 4828]; [4638; 6333]; [622; 1213]; [5226; 6503]; [842; 2677]; [3328; 6178]; [3675; 10423]; [6882; 7268]; [30; 11100]; [2174; 4284]; [3010; 10972]; [3237; 3781]; [1640; 3596]; [4718; 4757]; [5538; 10912]; [3785; 10968]; [2665; 10937]; [208; 2512]; [2577; 4674]; [2422; 7769]; [6558; 11493]; [7142; 7757]; [1605; 8678]; [5557; 5677]; [2434; 7779]; [1782; 2898]; [7856; 10483]; [8570; 9072]; [7508; 9019]; [5512; 11569]; [5632; 10173]; [4326; 6754]; [6098; 9414]; [657; 9289]; [9673; 10627]; [8227; 11335]; [5504; 7894]; [1211; 9848]; [6958; 11211]; [361; 4982]; [4127; 9927]; [6996; 10914]; [3624; 5142]; [7457; 11309]; [9606; 9755]; [4403; 9044]; [3725; 5948]; [6808; 10863]; [4528; 7992]; [5147; 9727]; [9727; 11213]; [3877; 6719]; [670; 3458]; [4337; 7643]; [1689; 6066]; [978; 11158]; [8729; 9078]; [1162; 7303]; [4579; 7176]; [5929; 10113]; [1127; 10500]; [532; 6907]; [4204; 11436]; [2423; 3028]; [10266; 10336]; [3609; 11226]; [589; 10043]; [840; 7410]; [4785; 7402]; [490; 615]; [2320; 8161]; [300; 6907]; [768; 2057]; [1540; 11204]; [296; 3001]; [1760; 7006]; [1099; 11461]; [1381; 10393]; [1412; 5542]; [6642; 8076]; [6538; 6972]; [4001; 6889]; [3177; 9660]; [7077; 11387]; [2707; 11431]; [7135; 8359]; [34; 907]; [624; 8320]; [3327; 10358]; [6443; 7085]; [4366; 8707]; [4118; 5195]; [5292; 5489]; [1623; 3860]; [2058; 10204]; [5788; 9076]; [1807; 9804]; [453; 2961]; [4814; 11499]; [2543; 6462]; [7028; 10340]; [3687; 4635]; [304; 2838]; [5063; 6541]; [5961; 7691]; [367; 7324]; [1105; 4055]; [229; 7390]; [2975; 3086]; [3537; 10703]; [6646; 11177]; [1505; 4928]; [4648; 6484]; [4340; 6331]; [1071; 2192]; [7357; 9468]; [2646; 2803]; [5424; 10088]; [6138; 8677]; [6225; 11305]; [7095; 10407]; [4861; 7881]; [4141; 8723]; [4669; 11094]; [4597; 9528]; [1077; 1606]; [5197; 11213]; [3695; 4472]; [3540; 7567]; [5589; 8061]; [743; 5867]; [8205; 10100]; [8637; 10511]; [6462; 10844]; [3470; 5293]; [3162; 11556]; [6643; 9724]; [6590; 9309]; [5148; 6783]; [6829; 9325]; [3496; 7645]; [1414; 4759]; [3152; 3671]; [1854; 5031]; [3406; 4719]; [2874; 11274]; [9417; 10070]; [8070; 10814]; [976; 4533]; [1000; 9091]; [9229; 10019]; [1436; 5457]; [5331; 6840]; [4830; 8544]; [1533; 2357]; [7878; 10994]; [5849; 11152]; [2604; 5155]; [4037; 9847]; [10513; 11585]; [1803; 7321]; [1185; 8440]; [9917; 10019]; [5249; 6434]; [5094; 9529]; [7895; 11348]; [3752; 10617]; [10111; 11016]; [6093; 10731]; [732; 7182]; [2910; 6366]; [4842; 5521]; [2634; 10632]; [506; 5149]; [3339; 5725]; [603; 8465]; [1229; 11371]; [567; 1638]; [14; 8070]; [1607; 3595]; [7954; 8895]; [2039; 4006]; [912; 2804]; [5359; 11116]; [11114; 11586]; [2778; 4345]; [10596; 10657]; [5923; 6728]; [3929; 5941]; [3175; 7199]; [1406; 9728]; [5673; 5799]; [2906; 9226]; [848; 10898]; [1306; 5360]; [478; 9867]; [222; 5740]; [5863; 11558]; [5347; 5814]; [1062; 6131]; [3085; 7656]; [6438; 10742]; [6071; 9228]; [5412; 10346]; [3452; 6137]; [7469; 8449]; [8117; 9424]; [1923; 5120]; [629; 8881]; [8008; 11359]; [860; 8225]; [5741; 6441]; [1154; 7948]; [6021; 8710]; [1214; 8753]; [3487; 4037]; [1537; 7686]; [11022; 11192]; [3520; 9812]; [1279; 10279]; [4753; 11440]; [2769; 4925]; [3433; 4151]; [1375; 9987]; [1580; 7009]; [1270; 8281]; [2990; 9997]; [6254; 7376]; [2802; 10700]; [459; 3343]; [2766; 8791]; [1145; 10464]; [149; 2363]; [1673; 6419]; [490; 6039]; [579; 4576]; [3871; 9638]; [4277; 8828]; [918; 8179]; [3375; 3772]; [1195; 3761]; [7454; 9214]; [5181; 6760]; [131; 629]; [4236; 5040]; [3217; 5815]; [3246; 4301]; [6848; 10343]; [4040; 11517]; [4198; 5687]; [4633; 5615]; [5622; 6883]; [6251; 9306]; [19; 2266]; [3752; 11235]; [7021; 8958]; [5661; 9440]; [6922; 8198]; [1853; 4269]; [613; 9771]; [1663; 1893]; [4964; 11205]; [9873; 10715]; [2321; 9972]; [2756; 9900]; [6899; 10631]; [4497; 6077]; [2707; 6251]; [7039; 9887]; [6987; 9697]; [7469; 8717]; [3056; 9788]; [4570; 6740]; [2577; 9561]; [1625; 5142]; [7124; 8655]; [2542; 4090]; [1544; 5742]; [2363; 2627]; [802; 5105]; [2269; 6375]; [1336; 8422]; [460; 4587]; [489; 3073]; [7271; 8301]; [7259; 10950]; [3933; 5523]; [3186; 10958]; [7236; 9246]; [4094; 10544]; [5610; 11329]; [173; 2278]; [3965; 8444]; [5303; 9866]; [134; 2323]; [1259; 6862]; [3833; 5292]; [479; 9151]; [10145; 11537]; [5416; 10682]; [2124; 9003]; [3646; 5816]; [11053; 11096]; [6636; 11294]; [6631; 10950]; [62; 6769]; [331; 5496]; [2423; 2654]; [8959; 10105]; [1464; 9896]; [1298; 1498]; [1196; 1221]; [8518; 9581]; [7326; 7984]; [8827; 11090]; [6251; 11079]; [3691; 5185]; [4534; 6628]; [4087; 5939]; [1167; 6118]; [6557; 8153]; [1191; 10676]; [2971; 6027]; [7637; 8785]; [137; 8232]; [507; 595]; [1131; 2674]; [1062; 11205]; [1530; 7109]; [4869; 6325]; [573; 2346]; [10252; 11353]; [538; 5543]; [3497; 8702]; [1183; 6247]; [1740; 7858]; [3584; 11330]; [465; 3752]; [2049; 2197]; [3301; 8763]; [2241; 8783]; [6155; 10216]; [2394; 3363]; [1991; 8608]; [1614; 5652]; [7684; 8200]; [2453; 10359]; [4447; 6228]; [3263; 9410]; [2549; 3651]; [2638; 9358]; [5475; 7424]; [4064; 4211]; [3199; 11088]; [4465; 7938]; [5586; 10823]; [6978; 9098]; [688; 7715]; [4986; 6105]; [282; 611]; [2119; 10082]; [5075; 9560]; [2272; 6160]; [2872; 8599]; [3457; 5088]; [5848; 8729]; [5843; 8385]; [9829; 11384]; [3165; 3933]; [3550; 4498]; [10107; 10574]; [1485; 2747]; [1357; 3501]; [677; 10158]; [1136; 1812]; [1796; 9964]; [1129; 4805]; [738; 5149]; [2908; 3718]; [8759; 11066]; [6743; 9931]; [1414; 4385]; [3518; 4586]; [1713; 4452]; [5429; 5870]; [6069; 6230]; [1676; 5324]; [8616; 11138]; [6315; 6636]; [7994; 8351]; [8460; 9844]; [1407; 9980]; [5280; 8406]; [1271; 4457]; [1645; 5607]; [740; 7450]; [7591; 10563]; [4661; 5890]; [5719; 9207]; [2885; 10658]; [4542; 8642]; [927; 9528]; [2635; 9729]; [6625; 7966]; [1882; 8933]; [4068; 11388]; [976; 6387]; [4377; 6481]; [3400; 6004]; [8410; 9326]; [3403; 6275]; [566; 1793]; [784; 3184]; [2036; 9750]; [9257; 10888]; [3885; 8678]; [1275; 6804]; [10084; 10293]; [4700; 5040]; [6651; 11415]; [6214; 11414]; [7530; 8351]; [861; 4720]; [7027; 7730]; [4757; 11209]; [516; 7691]; [177; 1809]; [5813; 7283]; [3628; 7682]; [206; 295]; [8879; 11093]; [3600; 5634]; [481; 2220]; [8980; 11145]; [269; 11197]; [5031; 7247]; [2101; 2574]; [229; 1218]; [3248; 4428]; [9266; 10950]; [3471; 10327]; [4237; 5696]; [2375; 5028]; [6509; 7925]; [6789; 10194]; [1627; 10238]; [4084; 8083]; [3585; 4952]; [1754; 5849]; [687; 2446]; [7665; 10996]; [7532; 11406]; [3387; 9848]; [5135; 7196]; [2800; 10280]; [2143; 5809]; [6824; 9599]; [2795; 3520]; [4665; 4803]; [5200; 5339]; [9422; 11089]; [3983; 8381]; [7563; 9938]; [5820; 10682]; [4982; 9583]; [6128; 8583]; [7619; 11001]; [1457; 11116]; [4471; 8320]; [4226; 7735]; [2344; 5691]; [6329; 8465]; [5147; 7556]; [5395; 11041]; [306; 4982]; [3549; 3736]; [4478; 11369]; [2859; 3289]; [6012; 9697]; [441; 4618]; [8682; 9343]; [2419; 6400]; [4762; 7341]; [1996; 7960]; [6504; 7126]; [733; 6897]; [8554; 10474]; [3793; 4446]; [1138; 1698]; [3407; 6662]; [8897; 10813]; [8040; 11192]; [5120; 7961]; [10472; 11424]; [5625; 6376]; [1850; 10013]; [4279; 10728]; [2629; 7499]; [6331; 10739]; [3750; 10384]; [8633; 9427]; [6324; 7316]; [1244; 4726]; [4296; 11082]; [5791; 10236]; [2487; 7042]; [809; 8935]; [2464; 5338]; [6129; 10231]; [8831; 11290]; [1835; 6298]; [1523; 10907]; [1893; 9686]; [6432; 11171]; [4011; 8065]; [1607; 2684]; [5430; 8917]; [2574; 10020]; [1328; 7406]; [5710; 8153]; [2842; 4358]; [7265; 7358]; [9847; 10567]; [7421; 7871]; [415; 7853]; [3122; 10010]; [1219; 9341]; [3212; 5739]; [2618; 11416]; [1374; 9629]; [1503; 6067]; [6816; 10356]; [2148; 6771]; [54; 2370]; [2335; 2433]; [4355; 4441]; [4845; 8240]; [340; 6339]; [1204; 1489]; [1014; 7781]; [243; 6406]; [1925; 7638]; [2885; 9666]; [9760; 10921]; [3445; 7788]; [1502; 7720]; [10782; 10794]; [7415; 10284]; [2750; 10380]; [1967; 2572]; [478; 11534]; [4797; 7014]; [561; 10256]; [8874; 10131]; [4920; 11551]; [252; 5714]; [1492; 4349]; [8990; 11245]; [2508; 9692]; [1450; 4123]; [4507; 10823]; [7053; 7959]; [5344; 7533]; [10067; 10825]; [3718; 9616]; [5096; 8185]; [3227; 5592]; [2010; 6382]; [6834; 9726]; [3159; 4899]; [1072; 1669]; [8568; 11148]; [8881; 10147]; [388; 10836]; [9662; 9958]; [1811; 2008]; [1910; 5397]; [3431; 6526]; [760; 3245]; [755; 2901]; [4710; 10751]; [1971; 2640]; [9983; 11477]; [5382; 9114]; [6075; 7580]; [3952; 8857]; [953; 5545]; [5068; 11398]; [219; 8933]; [3206; 4314]; [2428; 7430]; [143; 9877]; [6815; 10773]; [3816; 8215]; [3503; 3554]; [2735; 8112]; [85; 3456]; [1518; 1732]; [1232; 7562]; [1199; 11586]; [5934; 9977]; [232; 6135]; [3710; 7415]; [3620; 10905]; [1970; 2014]; [8506; 9465]; [567; 11494]; [4001; 7564]; [1250; 2856]; [6977; 8448]; [7156; 9911]; [841; 1116]; [314; 8769]; [2776; 6958]; [441; 10042]; [10048; 11067]; [1361; 9261]; [2082; 2605]; [1089; 4601]; [1345; 8728]; [2059; 7317]; [5096; 6225]; [2757; 5403]; [6688; 8695]; [1772; 11424]; [9260; 11216]; [6376; 6888]; [4473; 5465]; [4812; 9849]; [3069; 6429]; [1978; 11300]; [1166; 9170]; [5431; 11584]; [9942; 11021]; [8075; 9255]; [4183; 5891]; [2090; 2092]; [4801; 8155]; [265; 11105]; [2994; 7194]; [4207; 7416]; [6072; 8355]; [8167; 9194]; [168; 11172]; [569; 11516]; [1255; 2395]; [2368; 7671]; [4761; 7975]; [1989; 8806]; [3895; 8992]; [3678; 4793]; [8220; 9205]; [207; 2425]; [4604; 11374]; [2515; 11481]; [3661; 6317]; [5259; 6350]; [8024; 9266]; [5374; 6862]; [1800; 8503]; [4878; 8910]; [10198; 10960]; [6934; 11329]; [1573; 2862]; [3252; 4577]; [6806; 11329]; [5646; 8489]; [3748; 11574]; [6807; 8521]; [1641; 11075]; [511; 3940]; [1357; 4900]; [127; 6983]; [4244; 6493]; [2282; 7873]; [3813; 9690]; [783; 5567]; [8260; 10832]; [1029; 1836]; [1648; 10741]; [7134; 10986]; [3273; 9187]; [1895; 4202]; [8345; 10381]; [5795; 5929]; [1769; 5783]; [1363; 4341]; [5698; 5996]; [5258; 11359]; [3362; 4691]; [1117; 5039]; [7113; 8604]; [6966; 11560]; [4031; 10707]; [7145; 7361]; [5466; 9029]; [2821; 4717]; [1107; 6199]; [3870; 6036]; [7447; 8076]; [2598; 8617]; [6051; 8901]; [5180; 9574]; [2993; 9146]; [2659; 3608]; [234; 10182]; [1158; 10301]; [103; 4249]; [5261; 7469]; [2929; 8572]; [2833; 11493]; [5813; 11365]; [1060; 9362]; [2232; 9583]; [1332; 7606]; [9737; 11234]; [272; 8380]; [654; 8674]; [4692; 5447]; [3642; 6909]; [108; 7225]; [7062; 11217]; [1766; 8063]; [419; 8807]; [2602; 8335]; [8460; 10438]; [2322; 8695]; [9533; 9899]; [2594; 4687]; [1790; 9588]; [3433; 10892]; [973; 2950]; [2719; 5887]; [7167; 8385]; [7072; 11531]; [1903; 3234]; [1488; 11128]; [4070; 7921]; [5350; 5955]; [5263; 10874]; [617; 11020]; [216; 10676]; [2864; 5837]; [4502; 7551]; [2883; 3635]; [3920; 8327]; [3299; 5765]; [181; 5205]; [269; 1642]; [6312; 9160]; [1973; 4353]; [13; 2396]; [4844; 7665]; [11468; 11553]; [2478; 9184]; [386; 5610]; [8135; 9873]; [4470; 9144]; [5267; 10242]; [1321; 10025]; [8881; 11383]; [8757; 8873]; [3339; 11206]; [83; 11436]; [3156; 11499]; [3691; 8625]; [7322; 10901]; [4555; 7912]; [3056; 4852]; [5193; 7445]; [5232; 7373]; [1594; 11473]; [935; 6175]; [5688; 10807]; [4661; 7557]; [549; 6139]; [559; 6827]; [3823; 10622]; [1087; 6946]; [4215; 7470]; [1207; 7802]; [1233; 6771]; [8521; 9885]; [4261; 7815]; [2234; 11052]; [553; 6258]; [3979; 4719]; [3450; 5129]; [10695; 10825]; [9640; 9691]; [483; 4738]; [1487; 7038]; [7583; 8555]; [6955; 8232]; [916; 1587]; [5924; 7492]; [6015; 7610]; [886; 2876]; [4285; 8559]; [1033; 5555]; [10557; 11241]; [5830; 10459]; [7251; 11384]; [90; 10297]; [1057; 2916]; [8691; 10831]; [3793; 4340]; [8066; 10779]; [4888; 6758]; [2081; 4370]; [5439; 7046]; [1774; 2907]; [4380; 10674]; [1887; 6756]; [1978; 6120]; [2879; 4535]; [974; 7203]; [2505; 2604]; [1942; 9846]; [1388; 6254]; [879; 3933]; [4779; 5660]; [1319; 4205]; [5773; 6518]; [3402; 9945]; [859; 6664]; [3068; 10823]; [6855; 10229]; [35; 3019]; [2032; 9739]; [1065; 6540]; [4799; 9695]; [4057; 9058]; [289; 7450]; [248; 7449]; [2338; 3780]; [2331; 6773]; [1584; 5792]; [4171; 9345]; [2586; 11429]; [2030; 9262]; [1870; 4843]; [1185; 11156]; [1149; 5083]; [8372; 11185]; [2145; 10905]; [6371; 6975]; [1856; 10802]; [1049; 9016]; [8547; 9496]; [338; 3528]; [2721; 9560]; [10666; 10729]; [7710; 8999]; [8398; 9373]; [3751; 4413]; [3028; 3072]; [3993; 10362]; [8012; 9337]; [8199; 9163]; [3927; 5578]; [8720; 10363]; [4207; 7847]; [2958; 5716]; [1091; 11120]; [5800; 10542]; [638; 9832]; [287; 2435]; [6109; 11297]; [1252; 5561]; [3239; 10839]; [4739; 11091]; [4138; 9181]; [5105; 5964]; [4053; 10763]; [645; 3082]; [211; 346]; [597; 10181]; [5537; 5594]; [9642; 10005]; [6448; 11113]; [4134; 8658]; [2303; 7303]; [5905; 6929]; [5566; 7463]; [772; 5459]; [1814; 9771]; [828; 6522]; [5890; 9280]; [6456; 7971]; [8257; 8363]; [2064; 6913]; [4680; 9706]; [2397; 2400]; [2094; 2591]; [1994; 5393]; [7291; 11401]; [1092; 6753]; [1873; 7318]; [4734; 9942]; [4637; 10009]; [4673; 5502]; [5796; 9214]; [6288; 9676]; [5352; 5790]; [2738; 9459]; [10391; 11008]; [6437; 6766]; [614; 6347]; [6255; 10667]; [338; 4951]; [2760; 3741]; [6237; 8583]; [72; 9181]; [366; 3212]; [6269; 11504]; [9725; 11305]; [7822; 9882]; [10597; 11234]; [3622; 6365]; [1980; 10167]; [6020; 7767]; [566; 3273]; [2035; 7622]; [8470; 8605]; [1820; 5748]; [2664; 10799]; [7540; 7917]; [4393; 5461]; [3498; 7992]; [4883; 9260]; [688; 7585]; [215; 5675]; [7940; 8790]; [5978; 10924]; [708; 2575]; [747; 1749]; [5537; 7017]; [3135; 8879]; [5822; 9630]; [2085; 7335]; [1739; 6698]; [5228; 8891]; [156; 5445]; [1145; 5959]; [3442; 6555]; [1867; 5163]; [2832; 8289]; [1700; 6743]; [1118; 7519]; [3578; 9799]; [3265; 4384]; [9541; 10972]; [8333; 8842]; [6029; 7075]; [5645; 10118]; [6768; 7414]; [4529; 10960]; [2559; 8315]; [2168; 8659]; [9969; 10860]; [1810; 10671]; [1535; 2330]; [3212; 9634]; [6610; 10211]; [478; 6785]; [913; 5959]; [5610; 8784]; [1279; 8002]; [3577; 5036]; [411; 1776]; [4578; 7819]; [6374; 10119]; [3483; 11036]; [2863; 9830]; [2918; 9537]; [7308; 10145]; [10823; 11307]; [2724; 3255]; [2390; 4133]; [546; 3290]; [2070; 8100]; [1910; 10097]; [6705; 9293]; [2319; 8804]; [566; 4696]; [5151; 6526]; [7694; 9807]; [6771; 11044]; [544; 10764]; [3581; 4754]; [4706; 5129]; [1688; 8937]; [2130; 5118]; [4203; 10170]; [745; 3126]; [1565; 3619]; [2341; 3086]; [1434; 10518]; [4546; 10509]; [2314; 11062]; [5922; 8251]; [2582; 9564]; [3239; 7619]; [2494; 7465]; [959; 4748]; [1934; 7808]; [8240; 10855]; [1712; 3265]; [4974; 6233]; [2199; 2629]; [3545; 8830]; [3980; 8004]; [3285; 7213]; [2703; 7989]; [1946; 8572]; [3971; 10924]; [3592; 7895]; [139; 5359]; [8177; 8971]; [1852; 5904]; [73; 6991]; [8608; 9157]; [6674; 6923]; [1321; 9651]; [2790; 3420]; [3065; 5345]; [2311; 7357]; [3620; 9539]; [8818; 9906]; [6049; 10254]; [3143; 3723]; [5233; 6470]; [5890; 9443]; [1867; 2398]; [7242; 8319]; [5853; 9561]; [3521; 6500]; [7490; 11050]; [809; 966]; [7868; 10444]; [1834; 7553]; [273; 10031]; [2319; 6844]; [3203; 4124]; [5130; 10105]; [3635; 10951]; [273; 3615]; [1446; 6690]; [1518; 2594]; [2147; 11433]; [5991; 11373]; [4532; 5460]; [8864; 9096]; [1729; 2814]; [8919; 9557]; [6424; 8222]; [388; 7510]; [3132; 8795]; [10345; 10826]; [3507; 8672]; [5276; 6897]; [10157; 10775]; [2749; 3395]; [9999; 10189]; [126; 2814]; [4996; 7257]; [2645; 5674]; [8281; 11148]; [602; 8378]; [159; 7808]; [8527; 11554]; [4702; 9412]; [1855; 4242]; [7470; 9593]; [9139; 9866]; [1341; 5684]; [522; 8799]; [8834; 9984]; [7939; 8351]; [1554; 6731]; [4407; 9494]; [365; 8815]; [7897; 8125]; [4406; 5105]; [734; 10375]; [5188; 6272]; [2827; 11141]; [5649; 7421]; [2946; 6137]; [4491; 4654]; [10280; 11124]; [3465; 4258]; [3162; 4449]; [2188; 6495]; [2439; 10278]; [918; 3487]; [9503; 11432]; [1282; 10365]; [4176; 8965]; [7564; 8854]; [5394; 9531]; [1039; 11361]; [2438; 3637]; [351; 407]; [44; 10278]; [10961; 11458]; [789; 4016]; [214; 7491]; [819; 6110]; [2395; 10356]; [1500; 6471]; [7943; 8069]; [10921; 11278]; [5561; 10583]; [220; 8410]; [591; 10043]; [3137; 4927]; [6189; 7119]; [1731; 5064]; [4809; 5471]; [2546; 4459]; [367; 8056]; [2848; 10459]; [694; 10171]; [3928; 4675]; [2496; 10007]; [9137; 9338]; [3875; 11430]; [3710; 6667]; [4742; 11015]; [5234; 11477]; [1276; 9745]; [9505; 10673]; [4822; 6056]; [3426; 10291]; [1965; 10721]; [3137; 3772]; [929; 8883]; [499; 3637]; [7069; 10672]; [116; 9534]; [1769; 10028]; [8245; 11012]; [6192; 6612]; [216; 10115]; [9206; 10232]; [2604; 10075]; [307; 10233]; [5775; 7263]; [3237; 4326]; [3383; 9813]; [7050; 8363]; [3910; 7078]; [5275; 10323]; [4590; 6056]; [9020; 10227]; [5708; 9424]; [4125; 8171]; [2595; 3546]; [1225; 9002]; [4678; 9286]; [1376; 9171]; [4526; 5482]; [3461; 5158]; [3244; 7375]; [7504; 8691]; [3338; 10420]; [6392; 7023]; [186; 450]; [5791; 11529]; [3609; 9193]; [6193; 9065]; [2832; 5337]; [6228; 8497]; [590; 2196]; [8535; 9781]; [6510; 8183]; [3110; 4527]; [6654; 10591]; [4288; 7946]; [8948; 10889]; [987; 2771]; [10109; 10921]; [80; 10203]; [2609; 9614]; [6675; 8435]; [1167; 7842]; [2293; 11071]; [2480; 10897]; [481; 7514]; [3282; 5923]; [6520; 8497]; [2879; 8162]; [7700; 8579]; [7925; 11141]; [2683; 4840]; [5277; 9564]; [5826; 6396]; [7; 7631]; [8360; 11069]; [10409; 11563]; [2868; 3839]; [3673; 8962]; [9039; 10603]; [3430; 9204]; [7105; 8369]; [288; 7092]; [3302; 3542]; [10115; 10335]; [339; 7057]; [3334; 6463]; [5443; 7008]; [3397; 3779]; [8304; 9632]; [843; 1837]; [10397; 10398]; [4542; 5560]; [4943; 9287]; [1703; 10050]; [9979; 10824]; [8666; 11152]; [5491; 5894]; [3065; 3198]; [1198; 2186]; [7426; 9484]; [5215; 10914]; [1939; 3352]; [2374; 2526]; [4467; 9708]; [3586; 5529]; [8751; 9920]; [9933; 10829]; [4181; 6870]; [4709; 9241]; [9688; 10244]; [5859; 11366]; [746; 749]; [7964; 8005]; [8970; 11132]; [459; 692]; [2456; 7412]; [3679; 8322]; [5154; 6100]; [2495; 10750]; [6012; 8575]; [5103; 8764]; [8613; 9582]; [4413; 8317]; [681; 2202]; [2331; 3179]; [6868; 10253]; [868; 8444]; [4913; 6388]; [1864; 4467]; [797; 9732]; [4226; 5458]; [7428; 8375]; [678; 6068]; [5275; 10941]; [3848; 10201]; [9944; 10964]; [6210; 11192]; [3249; 4954]; [6084; 6357]; [6700; 8575]; [4282; 9904]; [4743; 10299]; [10; 6319]; [4831; 6736]; [1439; 1443]; [2311; 7788]; [2612; 4518]; [1596; 8974]; [1620; 9368]; [4772; 6506]; [3712; 6526]; [7003; 8734]; [3488; 5320]; [11077; 11580]; [1245; 7212]; [6188; 6306]; [580; 7761]; [6192; 6425]; [3668; 7358]; [1292; 3271]; [8430; 9824]; [1818; 9733]; [6059; 6835]; [5780; 7420]; [4314; 6752]; [135; 4112]; [2288; 11345]; [6992; 8171]; [9134; 11108]; [8481; 9762]; [6681; 9972]; [2775; 8430]; [9717; 10907]; [3099; 10217]; [6848; 6887]; [1146; 3045]; [1834; 6829]; [3093; 10402]; [5541; 10413]; [6322; 10978]; [2458; 3246]; [582; 4400]; [370; 6207]; [5819; 10357]; [1650; 4241]; [2393; 7732]; [3198; 6439]; [2869; 7661]; [3301; 8072]; [1367; 11500]; [8175; 10779]; [1243; 3328]; [644; 8661]; [1172; 4616]; [1118; 7763]; [4352; 8683]; [3091; 9201]; [7948; 9275]; [4038; 10967]; [8386; 8720]; [6858; 10584]; [1298; 9801]; [2130; 6167]; [2161; 5480]; [6015; 6862]; [4888; 5660]; [499; 1490]; [6720; 7617]; [6663; 7083]; [2867; 9843]; [8911; 11170]; [6877; 10984]; [1958; 4370]; [8413; 10893]; [3494; 9941]; [1835; 9632]; [5130; 8576]; [5634; 6389]; [7461; 8002]; [5224; 8211]; [6370; 6457]; [4231; 7201]; [1577; 8061]; [398; 10833]; [6380; 11282]; [981; 6495]; [3379; 7897]; [8148; 11534]; [1513; 7487]; [4457; 5450]; [2440; 7123]; [17; 10360]; [6433; 11293]; [5079; 10866]; [1414; 6727]; [6883; 11529]; [2987; 4259]; [5478; 8104]; [1928; 7887]; [90; 5361]; [7068; 7495]; [1247; 7903]; [4707; 5194]; [120; 7455]; [2486; 3684]; [6652; 11000]; [7894; 10462]; [2600; 3971]; [1398; 11455]; [7119; 10816]; [457; 4192]; [5861; 10097]; [1733; 11152]; [49; 2677]; [3151; 7642]; [2747; 3617]; [1759; 3705]; [358; 9848]; [6802; 8665]; [5620; 7756]; [3343; 7812]; [325; 1040]; [3036; 7103]; [7296; 8419]; [5522; 7598]; [3459; 8926]; [2246; 2288]; [7570; 10873]; [7606; 10530]; [784; 8909]; [3236; 6410]; [1061; 1081]; [1333; 3489]; [684; 5295]; [4512; 11118]; [8029; 8943]; [6933; 7054]; [2048; 5686]; [626; 10952]; [712; 10726]; [6094; 6484]; [2398; 6442]; [6310; 7048]; [1248; 4290]; [7366; 9538]; [1886; 3823]; [21; 9273]; [2260; 6858]; [9166; 9678]; [1501; 4362]; [2975; 9055]; [291; 7821]; [3056; 3567]; [2311; 3413]; [5079; 9256]; [5433; 10508]; [4394; 9153]; [2959; 3634]; [4180; 4471]; [5826; 10210]; [7006; 8040]; [3542; 6843]; [4266; 6874]; [2953; 9454]; [5014; 11463]; [4021; 7043]; [1358; 3680]; [6543; 9447]; [5573; 6731]; [5595; 10462]; [2200; 7904]; [2946; 9414]; [3471; 5098]; [6815; 11074]; [2194; 7335]; [3424; 6006]; [334; 3330]; [711; 3280]; [6426; 7357]; [703; 9054]; [5092; 6808]; [4097; 7977]; [2094; 7104]; [3936; 4087]; [601; 7996]; [5577; 9482]; [258; 4624]; [5665; 8548]; [873; 9623]; [7690; 10900]; [98; 10004]; [1122; 3911]; [8661; 10808]; [523; 2828]; [658; 8880]; [8841; 9463]; [2728; 10251]; [8335; 10823]; [1057; 1981]; [5004; 9970]; [551; 4095]; [4308; 8173]; [1789; 2280]; [3036; 10754]; [1671; 3722]; [8135; 10361]; [1691; 11544]; [2725; 3133]; [4146; 6310]; [2027; 2044]; [2649; 7460]; [6162; 8549]; [1556; 5842]; [10124; 10400]; [11265; 11308]; [525; 11518]; [1836; 8111]; [7166; 10095]; [1218; 9230]; [6197; 10233]; [650; 9712]; [3984; 8584]; [1398; 1469]; [5596; 9077]; [5850; 10125]; [4596; 6896]; [2139; 2635]; [3699; 9354]; [5686; 8970]; [3480; 7738]; [2045; 8635]; [9985; 10214]; [769; 8064]; [7913; 10675]; [5521; 6809]; [8191; 9865]; [2558; 3908]; [1720; 2809]; [5057; 5362]; [1841; 10683]; [5170; 9211]; [1648; 11042]; [4239; 5669]; [5042; 7713]; [3731; 3950]; [5824; 11132]; [497; 8665]; [6593; 10182]; [521; 6807]; [9803; 10708]; [3977; 10772]; [1993; 8421]; [5288; 8119]; [82; 3727]; [5007; 7877]; [5473; 7118]; [7138; 10655]; [5928; 7698]; [298; 5422]; [2717; 6947]; [2040; 10869]; [7986; 9409]; [9033; 9901]; [3408; 7969]; [1125; 11243]; [6085; 8032]; [2969; 4135]; [1651; 10535]; [660; 2778]; [350; 8214]; [2396; 5027]; [5833; 11194]; [10300; 10359]; [5635; 10455]; [5048; 6723]; [879; 4771]; [2049; 4165]; [2804; 9925]; [5230; 6205]; [2033; 3632]; [1990; 6968]; [6757; 10532]; [8343; 9050]; [2240; 11280]; [11290; 11448]; [8399; 10113]; [6023; 6780]; [152; 7825]; [6865; 10250]; [1008; 9503]; [6773; 11415]; [1916; 4925]; [5654; 7822]; [353; 10740]; [7268; 9142]; [2634; 10803]; [1323; 7794]; [2285; 4233]; [5614; 8423]; [3594; 6415]; [5794; 7078]; [2683; 10695]; [5489; 6442]; [5864; 6319]; [9685; 10971]; [6770; 7330]; [2646; 4397]; [9500; 11191]; [7449; 7618]; [3087; 5271]; [2837; 5096]; [337; 5669]; [6405; 11554]; [6004; 11210]; [2325; 8893]; [3259; 9700]; [2577; 2698]; [9824; 9975]; [519; 8534]; [8485; 10580]; [2026; 5039]; [8435; 11217]; [2831; 3746]; [2547; 3987]; [2977; 3571]; [6249; 11391]; [2569; 6220]; [705; 11141]; [10913; 11070]; [3910; 11323]; [6310; 8634]; [23; 8303]; [4849; 8310]; [9223; 11448]; [2538; 10290]; [6834; 11263]; [7364; 8045]; [6483; 10282]; [2992; 7262]; [693; 6593]; [2183; 5403]; [3645; 8581]; [663; 1466]; [8355; 8605]; [5356; 6047]; [3277; 7596]; [1682; 10490]; [942; 10680]; [10276; 10607]; [697; 10095]; [7937; 9785]; [5845; 6211]; [3303; 5030]; [1211; 1456]; [2887; 3654]; [707; 3643]; [7804; 10195]; [3167; 5923]; [7217; 10627]; [4734; 7397]; [3414; 5800]; [3221; 6159]; [237; 11049]; [773; 11029]; [6840; 7644]; [2301; 6159]; [10143; 10613]; [515; 3823]; [1540; 7000]; [5287; 7731]; [6001; 7074]; [1646; 8150]; [7054; 9293]; [3897; 5395]; [7236; 11027]; [7955; 10714]; [453; 6328]; [3280; 3706]; [883; 5912]; [1812; 8627]; [7075; 7137]; [4050; 5610]; [4554; 7587]; [5175; 10149]; [1001; 3689]; [4521; 5195]; [1539; 4496]; [3113; 7915]; [498; 2314]; [7204; 9210]; [4807; 10662]; [7039; 10863]; [1150; 9824]; [6225; 11289]; [5910; 9965]; [9327; 10592]; [5230; 10206]; [9803; 10521]; [467; 9767]; [1238; 9644]; [5541; 7624]; [3850; 4394]; [1270; 7647]; [9668; 10104]; [7529; 10848]; [3642; 7828]; [1426; 5908]; [4153; 5334]; [2630; 4132]; [3168; 11355]; [8643; 10310]; [1324; 1467]; [3588; 10251]; [1048; 5733]; [7928; 11496]; [137; 3597]; [140; 7278]; [3932; 7028]; [317; 8668]; [6172; 7090]; [392; 7499]; [222; 9562]; [470; 2494]; [9930; 10639]; [1907; 8059]; [940; 4860]; [1528; 11446]; [8880; 9849]; [8971; 9967]; [8250; 9453]; [2144; 7248]; [3332; 5693]; [6472; 6978]; [6095; 11192]; [4538; 4744]; [1468; 8362]; [6626; 10828]; [2462; 9220]; [8897; 10203]; [2791; 7998]; [3724; 5170]; [2354; 11380]; [2390; 11037]; [169; 4609]; [2538; 7525]; [2424; 9867]; [7993; 8457]; [2100; 7299]; [5426; 5556]; [5441; 6588]; [1764; 5098]; [4814; 9873]; [879; 6812]; [2372; 11555]; [908; 5298]; [4863; 6732]; [5699; 7004]; [5822; 11541]; [280; 11364]; [1431; 4292]; [6658; 9561]; [6100; 10731]; [2024; 4806]; [7471; 8129]; [5014; 10284]; [6186; 10505]; [3978; 8446]; [210; 7592]; [10956; 11334]; [834; 9671]; [7152; 10069]; [2452; 11110]; [4837; 7389]; [4998; 8246]; [4437; 9899]; [1421; 3954]; [1202; 11006]; [2565; 8543]; [1792; 8593]; [3072; 3621]; [1227; 6340]; [1514; 9780]; [831; 6340]; [4745; 11183]; [4205; 6516]; [1780; 10838]; [2093; 9837]; [8024; 8843]; [4579; 6168]; [8689; 10923]; [3049; 3795]; [6383; 6831]; [1149; 6807]; [3673; 4376]; [3857; 6183]; [405; 9507]; [271; 6309]; [1929; 7147]; [2149; 9365]; [3983; 8739]; [810; 10724]; [1545; 3774]; [10393; 11355]; [3418; 6486]; [2013; 9477]; [5748; 6441]; [3382; 3796]; [2754; 4227]; [569; 3872]; [6364; 7878]; [227; 4108]; [3033; 7025]; [1940; 11069]; [593; 1233]; [131; 7029]; [4551; 6348]; [8097; 9829]; [1101; 10499]; [664; 9744]; [225; 248]; [6885; 10209]; [9835; 11370]; [4143; 8216]; [5559; 8797]; [8210; 9891]; [6099; 6267]; [5008; 11138]; [4471; 7523]; [2924; 5173]; [7836; 11370]; [3409; 4464]; [6870; 11025]; [184; 597]; [3093; 5921]; [4560; 9443]; [6547; 9059]; [1817; 4596]; [9380; 9635]; [7515; 9450]; [5832; 10245]; [1811; 11197]; [8574; 11457]; [5955; 8366]; [6170; 10240]; [5368; 8798]; [692; 10987]; [10031; 11258]; [9091; 9882]; [5514; 5590]; [6479; 7962]; [1801; 3689]; [1551; 9930]; [2986; 4869]; [5759; 11056]; [3514; 11404]; [718; 9175]; [9090; 10411]; [654; 5218]; [2206; 4906]; [2142; 9617]; [523; 6455]; [3981; 7083]; [4781; 7698]; [4663; 6888]; [155; 552]; [3684; 5584]; [7747; 11247]; [4688; 7884]; [5247; 9568]; [10504; 10515]; [84; 5223]; [5390; 9095]; [3194; 8551]; [3774; 4696]; [1407; 8996]; [8561; 8912]; [4669; 5548]; [6200; 11529]; [8096; 11027]; [3245; 8489]; [4165; 11118]; [2090; 2987]; [10080; 10345]; [178; 10900]; [2239; 2329]; [4288; 9239]; [492; 6337]; [8642; 8692]; [8764; 9621]; [4662; 8891]; [2609; 10907]; [3786; 11472]; [4413; 11570]; [4745; 7613]; [2601; 3849]; [4800; 8074]; [5018; 9465]; [6738; 11181]; [3257; 8849]; [2847; 10671]; [2061; 3346]; [2348; 6786]; [2654; 3860]; [4639; 9819]; [1898; 5045]; [5413; 6207]; [2338; 5317]; [3528; 3835]; [1743; 11523]; [5222; 6612]; [965; 4059]; [96; 1395]; [5605; 9760]; [491; 8340]; [1929; 6960]; [2574; 8418]; [3887; 11473]; [3476; 10441]; [2822; 11149]; [9382; 11080]; [5435; 8009]; [2097; 7483]; [6216; 7820]; [1724; 2771]; [3349; 7633]; [2; 1359]; [8136; 9597]; [3440; 10380]; [3402; 7644]; [3842; 7916]; [4329; 8034]; [3362; 4081]; [2551; 5559]; [1465; 4358]; [775; 3911]; [8237; 8898]; [4073; 7290]; [1268; 7227]; [3226; 8357]; [1242; 6006]; [4253; 5945]; [5407; 11222]; [525; 7119]; [2915; 3742]; [5556; 8312]; [5432; 5802]; [4389; 8435]; [10039; 11363]; [2756; 9347]; [5490; 9944]; [2761; 3275]; [8674; 11501]; [1071; 7063]; [8085; 11106]; [6492; 9165]; [1759; 5185]; [5924; 9647]; [2249; 4066]; [8663; 11342]; [5528; 9647]; [5029; 5762]; [9036; 9638]; [8470; 10947]; [3845; 4026]; [8230; 11460]; [156; 1021]; [948; 11544]; [351; 7124]; [3405; 7891]; [7887; 8088]; [5738; 10396]; [1816; 1905]; [6127; 10356]; [313; 7771]; [715; 3055]; [1339; 5134]; [4288; 9857]; [1390; 8105]; [2740; 4626]; [854; 11508]; [1050; 1998]; [4101; 10381]; [1297; 2629]; [3506; 6788]; [1632; 11021]; [5092; 6060]; [295; 6791]; [4064; 9001]; [3493; 5802]; [1909; 6576]; [6601; 8303]; [1664; 10909]; [100; 8952]; [1989; 5781]; [9029; 11045]; [1800; 2095]; [86; 7741]; [4657; 11393]; [4698; 7230]; [4223; 8657]; [2490; 10089]; [10329; 10862]; [1358; 8543]; [5845; 9838]; [8277; 10070]; [669; 4534]; [739; 6027]; [479; 4410]; [3496; 5295]; [6303; 11066]; [2631; 5756]; [6669; 8945]; [5117; 6251]; [3150; 8041]; [3930; 4217]; [2655; 7281]; [779; 8435]; [4079; 7723]; [5794; 9095]; [6909; 8782]; [2795; 6537]; [5425; 6754]; [27; 3323]; [4591; 5804]; [6686; 9649]; [3104; 4259]; [3298; 7508]; [7563; 9922]; [3446; 8160]; [297; 10539]; [1973; 6321]; [4099; 9479]; [11; 8455]; [4056; 5645]; [3063; 7641]; [1573; 2415]; [8083; 9399]; [5994; 9506]; [9416; 9723]; [1974; 6142]; [9658; 10010]; [4892; 9300]; [1188; 5987]; [4308; 10003]; [6020; 7694]; [1696; 3919]; [2335; 7060]; [3615; 8504]; [5977; 7243]; [3551; 4547]; [8745; 9676]; [5192; 9942]; [2559; 9397]; [3860; 6056]; [1936; 10172]; [5609; 8510]; [4351; 8545]; [1672; 5403]; [2606; 8462]; [4070; 6051]; [1952; 7672]; [188; 9791]; [2821; 3920]; [7337; 10117]; [482; 9514]; [606; 1444]; [6130; 10841]; [492; 4540]; [830; 10197]; [835; 4125]; [10281; 11463]; [7516; 8547]; [4940; 9290]; [6430; 8100]; [7020; 11349]; [5143; 8895]; [5055; 6796]; [6077; 10456]; [7640; 8024]; [2036; 6969]; [2810; 5609]; [1853; 7262]; [3181; 7996]; [2529; 3869]; [9337; 9564]; [6381; 10086]; [1739; 5470]; [1040; 1497]; [7848; 11356]; [3797; 7181]; [2117; 8247]; [2829; 10173]; [2987; 11513]; [3202; 9223]; [762; 8349]; [8642; 9123]; [9607; 11495]; [5901; 6601]; [140; 5562]; [3787; 9095]; [1667; 7637]; [7952; 11305]; [3100; 5913]; [4655; 11534]; [7666; 11473]; [2717; 5394]; [411; 6964]; [8043; 10642]; [2687; 6683]; [4211; 5077]; [3462; 9685]; [2367; 10650]; [6596; 11155]; [9273; 11218]; [1649; 8155]; [8115; 8451]; [873; 2272]; [2117; 4059]; [6132; 9708]; [1488; 10681]; [8494; 10699]; [1309; 2802]; [490; 5917]; [3728; 4327]; [7905; 10304]; [6602; 11320]; [4909; 5765]; [4783; 6592]; [738; 2986]; [3633; 10856]; [7182; 10848]; [6922; 9231]; [1046; 4270]; [1080; 9516]; [1314; 5024]; [887; 2705]; [135; 7796]; [3939; 9061]; [3429; 9521]; [918; 8407]; [536; 5107]; [1776; 10158]; [1808; 8161]; [288; 4978]; [783; 9121]; [6755; 8128]; [4048; 9354]; [6058; 6510]; [149; 11235]; [1214; 5143]; [1551; 7946]; [1339; 9753]; [6523; 7778]; [8766; 11521]; [1545; 3213]; [1144; 2869]; [1755; 4743]; [4752; 6474]; [731; 1010]; [3540; 7608]; [8982; 9833]; [104; 4295]; [1048; 5790]; [1284; 2125]; [7238; 11106]; [3409; 11474]; [6453; 6635]; [9259; 9552]; [4297; 11155]; [6568; 10530]; [931; 7083]; [4487; 8246]; [7250; 10335]; [1951; 7664]; [3231; 4944]; [8559; 11019]; [2520; 3620]; [814; 9881]; [2801; 9497]; [8052; 8744]; [1584; 9533]; [1429; 5458]; [1119; 6730]; [1114; 6386]; [2196; 10097]; [6769; 10412]; [8214; 10203]; [1822; 5160]; [3281; 4657]; [2128; 8650]; [4337; 7147]; [10226; 10815]; [4878; 7471]; [9073; 9146]; [4245; 7558]; [7015; 10818]; [1720; 10518]; [6663; 9612]; [8756; 10378]; [5886; 9920]; [576; 9312]; [836; 10205]; [8623; 10788]; [2183; 3045]; [5546; 6065]; [2174; 5211]; [4395; 5223]; [10864; 11452]; [7309; 10891]; [6252; 11182]; [1453; 1664]; [3297; 5890]; [520; 8629]; [10769; 11565]; [6583; 7000]; [4380; 6039]; [2606; 7470]; [7709; 10983]; [4001; 9426]; [78; 10913]; [5957; 7477]; [4721; 9715]; [10187; 10836]; [3416; 9904]; [1565; 3009]; [4550; 7389]; [8142; 11215]; [1752; 9251]; [1747; 8907]; [1972; 11469]; [1072; 9492]; [5590; 9346]; [5182; 7831]; [1593; 8440]; [2568; 11500]; [8170; 9476]; [1589; 4534]; [348; 6428]; [2149; 9072]; [1865; 9313]; [1335; 6869]; [194; 5961]; [9781; 10498]; [1586; 4236]; [7041; 11584]; [6323; 9089]; [2116; 10063]; [5290; 10932]; [4142; 9607]; [4003; 6065]; [3612; 6409]; [9558; 10611]; [1836; 4761]; [699; 2871]; [2481; 7717]; [673; 1650]; [868; 1337]; [5742; 11214]; [3944; 5835]; [6769; 8802]; [3293; 10978]; [2292; 2533]; [3042; 7195]; [3033; 10115]; [3064; 5264]; [3161; 8580]; [6018; 7298]; [9803; 10041]; [4056; 6426]; [2375; 4638]; [5270; 6092]; [3143; 9879]; [3800; 7934]; [464; 2573]; [2021; 2605]; [3149; 6661]; [1859; 2277]; [2392; 4992]; [2020; 3134]; [2701; 5747]; [1710; 2154]; [5435; 7098]; [3418; 8771]; [5376; 9901]; [2257; 2323]; [2628; 11126]; [4842; 9213]; [2509; 2544]; [7076; 8706]; [2969; 3468]; [7120; 8978]; [575; 10109]; [2507; 2848]; [2658; 9433]; [662; 5567]; [7611; 9215]; [3158; 7504]; [2660; 9479]; [1120; 10582]; [1159; 9756]; [6471; 10410]; [5033; 5374]; [7847; 8152]; [8473; 11058]; [746; 4864]; [4264; 5543]; [2387; 3843]; [4981; 8567]; [4327; 10029]; [8093; 8558]; [8704; 10432]; [299; 388]; [2146; 10547]; [6396; 11175]; [7647; 8471]; [8894; 9775]; [4443; 4727]; [1920; 8514]; [5908; 11586]; [2099; 3561]; [9411; 11233]; [9349; 10355]; [5835; 10549]; [5709; 7212]; [769; 6137]; [7142; 9652]; [7166; 10046]; [2536; 7699]; [550; 10937]; [7355; 10699]; [4246; 4563]; [734; 7082]; [3468; 7679]; [1314; 3227]; [825; 6446]; [3089; 4650]; [4615; 5369]; [2748; 4357]; [4804; 6022]; [6199; 7978]; [7446; 10036]; [631; 2416]; [495; 9725]; [3862; 10989]; [5610; 8337]; [10713; 11096]; [2459; 7637]; [3551; 9784]; [177; 8103]; [6061; 11427]; [5753; 7110]; [5814; 8517]; [6438; 10596]; [1944; 2468]; [4094; 9430]; [9133; 11238]; [4804; 11283]; [9167; 10068]; [574; 4891]; [3524; 6806]; [6485; 6628]; [1128; 5450]; [1974; 10574]; [11029; 11086]; [1535; 7494]; [5881; 8584]; [5413; 6264]; [3556; 5940]; [1643; 4583]; [2367; 3860]; [4851; 10698]; [3426; 10031]; [2428; 5267]; [2; 2571]; [1621; 3481]; [1156; 7848]; [1553; 11456]; [5450; 8748]; [3139; 9974]; [7626; 11269]; [1773; 7258]; [2109; 5672]; [43; 1067]; [9297; 9336]; [2289; 4327]; [3032; 8572]; [7149; 8082]; [7426; 10834]; [1067; 4019]; [3596; 4184]; [6235; 7927]; [6701; 7168]; [5023; 9061]; [7108; 11464]; [10500; 11472]; [1097; 9496]; [1622; 5934]; [92; 3561]; [6547; 10084]; [5205; 5510]; [4517; 10771]; [5033; 9375]; [3324; 11201]; [585; 3844]; [2852; 5729]; [5780; 9575]; [1919; 5524]; [6714; 11136]; [984; 4492]; [1104; 9512]; [4434; 10894]; [7832; 11471]; [7450; 10423]; [6044; 8308]; [1964; 11309]; [1974; 5581]; [7108; 10659]; [4078; 6536]; [228; 6027]; [1405; 6592]; [2895; 5402]; [3485; 8651]; [3715; 11557]; [279; 2582]; [1770; 4246]; [5159; 6989]; [2397; 10760]; [4823; 7040]; [212; 3989]; [7686; 10491]; [5532; 6039]; [1340; 8799]; [9886; 11154]; [304; 6961]; [3948; 4561]; [4789; 5177]; [3658; 6485]; [4152; 7774]; [2849; 8790]; [256; 504]; [8385; 10650]; [2093; 3559]; [4434; 10089]; [1132; 9974]; [798; 4436]; [2009; 10247]; [228; 8255]; [6205; 8360]; [2246; 9436]; [8655; 9198]; [4639; 10494]; [2156; 10674]; [2779; 3483]; [4931; 7862]; [10521; 10739]; [321; 7665]; [4268; 11490]; [846; 4103]; [510; 4154]; [7596; 9793]; [8401; 8500]; [2894; 4345]; [6361; 8499]; [1519; 3041]; [7768; 7806]; [7277; 7946]; [2203; 3673]; [3132; 6388]; [10193; 10277]; [83; 4467]; [4871; 6656]; [6639; 6908]; [6427; 8715]; [9512; 11047]; [3996; 5675]; [5701; 6359]; [2401; 2907]; [267; 3995]; [6387; 10070]; [1694; 1702]; [6394; 10460]; [4861; 7816]; [7134; 8018]; [369; 515]; [3918; 6923]; [3305; 8386]; [9807; 11345]; [523; 4365]; [906; 9765]; [4538; 5850]; [5909; 9664]; [6012; 10543]; [4039; 8381]; [1702; 4976]; [1650; 4786]; [7534; 8110]; [1242; 6681]; [3534; 6933]; [1305; 11167]; [4698; 6482]; [5128; 6066]; [2516; 10562]; [427; 10669]; [4653; 6739]; [2817; 7292]; [279; 4355]; [4620; 5101]; [5991; 8161]; [798; 2476]; [9667; 10180]; [5627; 11082]; [4156; 10070]; [1236; 6085]; [4462; 7144]; [195; 3903]; [819; 6736]; [4396; 8776]; [2434; 4494]; [9280; 10673]; [8934; 10036]; [5592; 11246]; [5274; 6241]; [1723; 2416]; [6950; 7685]; [3312; 7621]; [1404; 10772]; [6973; 8608]; [3745; 4470]; [837; 1276]; [7; 11372]; [3481; 6117]; [8240; 9066]; [2708; 9577]; [5731; 11031]; [1059; 9956]; [397; 977]; [627; 10299]; [4615; 6955]; [992; 2318]; [3519; 5820]; [1953; 7954]; [10053; 10192]; [4727; 11333]; [1914; 4993]; [4007; 5759]; [4308; 8905]; [5094; 9814]; [9541; 10956]; [1418; 11178]; [8846; 10165]; [5210; 10928]; [831; 7446]; [5707; 10980]; [5; 722]; [7485; 10422]; [2519; 8900]; [5201; 10061]; [717; 2621]; [664; 8622]; [1316; 7087]; [437; 2981]; [3014; 5846]; [402; 4680]; [3289; 8525]; [6807; 9204]; [2493; 11035]; [678; 9459]; [900; 8340]; [4320; 6232]; [777; 9438]; [6563; 9975]; [5092; 8963]; [2783; 6852]; [2659; 5096]; [8168; 9297]; [4996; 5468]; [2506; 7483]; [6833; 8523]; [6107; 7665]; [6485; 7059]; [3809; 9850]; [1096; 1462]; [5553; 9708]; [3808; 10379]; [4608; 7988]; [1220; 8853]; [848; 6995]; [965; 1164]; [4726; 5765]; [2062; 10825]; [4887; 10786]; [6938; 7943]; [2112; 3772]; [121; 10049]; [1494; 8274]; [1212; 9342]; [3579; 10677]; [1462; 8736]; [4007; 7182]; [1454; 2459]; [8703; 11280]; [949; 1011]; [5181; 6695]; [5745; 9477]; [8828; 10228]; [6498; 7240]; [3815; 7362]; [4462; 4729]; [7848; 9453]; [1134; 3393]; [2679; 8326]; [4771; 5484]; [2933; 2958]; [1935; 4610]; [815; 4579]; [4995; 10827]; [1695; 11539]; [9375; 10747]; [1777; 6653]; [5082; 7039]; [1248; 7063]; [1358; 4225]; [4966; 8584]; [2515; 7521]; [3389; 4113]; [780; 8126]; [3843; 7501]; [700; 5164]; [3069; 8080]; [1670; 2218]; [3437; 6032]; [1229; 8891]; [4723; 11428]; [4835; 5253]; [10103; 10523]; [1946; 7751]; [10908; 11482]; [2719; 6920]; [6022; 9889]; [3894; 4406]; [6010; 6122]; [7324; 9402]; [2501; 8912]; [724; 4410]; [1589; 9584]; [1711; 10513]; [3919; 9539]; [674; 3542]; [7817; 9685]; [1993; 10576]; [3700; 3759]; [2486; 8230]; [3611; 8605]; [6849; 7015]; [4196; 5094]; [2883; 4668]; [7457; 7837]; [4506; 8703]; [1887; 6366]; [2016; 2050]; [2969; 9323]; [7415; 8365]; [173; 5596]; [6458; 10018]; [551; 11406]; [3999; 10592]; [4176; 8949]; [3708; 6629]; [7701; 10799]; [757; 5997]; [962; 2265]; [6943; 8905]; [2557; 9170]; [1800; 2583]; [8814; 10790]; [8864; 10153]; [906; 7968]; [459; 863]; [1053; 11401]; [3637; 9021]; [917; 5124]; [7830; 9115]; [1354; 5879]; [1973; 7614]; [10269; 10518]; [2573; 11551]; [2163; 6957]; [984; 9729]; [1297; 8728]; [6059; 11194]; [8674; 10379]; [2523; 8431]; [2882; 10027]; [296; 9328]; [1222; 6110]; [2789; 6830]; [4563; 5399]; [2309; 3749]; [3926; 11002]; [1538; 1620]; [5896; 6477]; [3399; 11485]; [9748; 11196]; [694; 7122]; [5699; 9346]; [1841; 11228]; [2519; 7908]; [6827; 6986]; [4728; 6405]; [2907; 7990]; [5388; 8895]; [7000; 8634]; [9302; 9574]; [7151; 8803]; [934; 9211]; [3702; 9392]; [527; 8298]; [331; 4976]; [6215; 8300]; [1922; 3838]; [9110; 9754]; [5958; 6200]; [2697; 10223]; [3062; 8658]; [5240; 7088]; [1699; 4705]; [720; 4155]; [8536; 9640]; [1282; 5356]; [6361; 8475]; [4742; 6811]; [1526; 5716]; [8876; 9708]; [4979; 6000]; [435; 4925]; [2613; 3355]; [1993; 7811]; [4049; 5312]; [3216; 5311]; [1777; 6466]; [407; 6260]; [4224; 7006]; [1889; 10090]; [2585; 8073]; [5788; 8182]; [1980; 3011]; [6059; 6201]; [3277; 8596]; [2514; 6328]; [14; 5403]; [4520; 10158]; [2722; 7031]; [1264; 11142]; [509; 5382]; [30; 9319]; [2533; 7509]; [3715; 8418]; [5764; 9666]; [845; 2298]; [3988; 10270]; [4580; 7930]; [3905; 8515]; [3800; 10219]; [2551; 8088]; [723; 6250]; [1590; 5835]; [1831; 8930]; [3212; 7016]; [34; 8657]; [10020; 10459]; [8908; 11043]; [5622; 9209]; [8376; 11182]; [3261; 6908]; [4226; 9280]; [4296; 8521]; [9790; 10936]; [4726; 7351]; [3136; 4927]; [9488; 10571]; [1357; 6014]; [2475; 9382]; [1456; 10157]; [2326; 2843]; [3320; 10871]; [2040; 6421]; [4829; 7479]; [948; 7657]; [788; 10408]; [1853; 3562]; [7758; 7763]; [6913; 10411]; [2938; 10954]; [2372; 8099]; [7508; 7588]; [4428; 9764]; [1372; 6672]; [7700; 7758]; [2399; 10676]; [6566; 9549]; [3514; 3947]; [2681; 3192]; [1774; 10624]; [7412; 10509]; [6949; 9287]; [6951; 10114]; [2115; 4501]; [4299; 4631]; [2021; 4085]; [3118; 6576]; [1731; 4511]; [4485; 7238]; [304; 9433]; [6027; 6238]; [7222; 11516]; [3767; 10405]; [3891; 6499]; [4660; 11211]; [393; 2308]; [6031; 6357]; [3321; 3902]; [9829; 10059]; [2355; 3557]; [4933; 7778]; [7584; 8872]; [7362; 9991]; [230; 7390]; [1321; 6683]; [693; 2950]; [5830; 10955]; [8913; 10208]; [4274; 11525]; [1062; 1504]; [4800; 11571]; [103; 2330]; [3432; 7274]; [3189; 7516]; [4175; 5103]; [7726; 8174]; [2709; 4435]; [6296; 7163]; [2712; 8116]; [4238; 8835]; [2185; 8599]; [0; 4834]; [3554; 11586]; [9841; 10419]; [2709; 7818]; [4147; 6438]; [1652; 5103]; [3923; 4478]; [4258; 7208]; [2329; 10980]; [734; 8212]; [4634; 9185]; [59; 2381]; [3111; 7983]; [5809; 9677]; [5936; 8698]; [5313; 9473]; [2940; 5657]; [3136; 3317]; [8292; 9874]; [3249; 7166]; [7335; 11527]; [5088; 10294]; [2320; 3697]; [1379; 5883]; [7450; 11285]; [4145; 5237]; [3840; 4601]; [8788; 10455]; [7796; 8889]; [1812; 8367]; [4300; 5525]; [1559; 7921]; [6851; 7169]; [3248; 3908]; [4493; 9303]; [1902; 8260]; [7287; 10705]; [1989; 10888]; [399; 7710]; [682; 7998]; [2824; 10935]; [5697; 8658]; [10707; 11226]; [5695; 7831]; [8393; 9525]; [1141; 6068]; [2794; 8814]; [1152; 9610]; [8929; 9505]; [5409; 5747]; [4251; 5232]; [207; 7890]; [2607; 10119]; [2380; 6730]; [4133; 10838]; [9360; 9691]; [7680; 10003]; [3786; 9976]; [768; 9620]; [3385; 9632]; [10713; 11421]; [200; 10102]; [792; 1346]; [2495; 7619]; [2371; 5863]; [3525; 11140]; [316; 4800]; [7640; 8325]; [4025; 9211]; [1881; 9611]; [7822; 9305]; [9030; 9183]; [9095; 10332]; [6504; 9289]; [1975; 9246]; [664; 5483]; [8071; 10763]; [4666; 6763]; [1219; 4015]; [5826; 9576]; [8271; 10070]; [2120; 2430]; [380; 2691]; [5748; 7441]; [612; 7952]; [2676; 10232]; [1962; 4473]; [744; 1655]; [6528; 7781]; [609; 7654]; [2298; 7805]; [2477; 5858]; [3105; 3175]; [5195; 5922]; [1831; 9093]; [7665; 8166]; [3470; 7245]; [4088; 9509]; [5837; 9711]; [2401; 7152]; [1651; 5900]; [2117; 7393]; [1035; 7065]; [6472; 8946]; [3664; 3704]; [4267; 4906]; [674; 8779]; [5526; 7755]; [3478; 10115]; [3388; 4937]; [1761; 9047]; [6891; 10219]; [10096; 11155]; [755; 10057]; [5278; 10255]; [4683; 6662]; [414; 9764]; [6271; 9013]; [7757; 10333]; [4995; 7688]; [1103; 10740]; [3056; 4356]; [969; 1126]; [4709; 11266]; [2588; 2790]; [3341; 7723]; [1470; 9221]; [1840; 8000]; [4204; 9818]; [2179; 7466]; [4300; 9526]; [3989; 5692]; [3576; 3833]; [6731; 6904]; [431; 1450]; [525; 7501]; [4243; 8992]; [1177; 8595]; [4356; 9808]; [8449; 10452]; [148; 4895]; [6302; 6390]; [8019; 8589]; [1764; 6261]; [943; 8549]; [5120; 8864]; [1637; 3453]; [1778; 9350]; [9715; 10658]; [9873; 11244]; [4026; 7021]; [9124; 9436]; [2281; 4686]; [7012; 7839]; [9464; 10258]; [495; 4602]; [4703; 10646]; [3584; 7053]; [6748; 9486]; [7622; 10242]; [182; 9740]; [4850; 6909]; [3604; 10711]; [467; 5937]; [1184; 8961]; [9525; 10130]; [1425; 5640]; [1151; 6569]; [3603; 4070]; [1649; 10229]; [3846; 7211]; [2910; 3325]; [1268; 10537]; [5093; 6263]; [7584; 10108]; [958; 9557]; [8169; 10761]; [1955; 10686]; [8176; 11151]; [3713; 11004]; [855; 5645]; [7197; 10601]; [908; 2273]; [1281; 1323]; [5986; 7419]; [4234; 6919]; [3021; 3691]; [1026; 9849]; [1205; 5650]; [2273; 9655]; [3487; 8567]; [4268; 9132]; [1835; 9429]; [773; 8622]; [7707; 11238]; [1060; 5646]; [962; 9275]; [1306; 2669]; [5130; 5340]; [2695; 11226]; [2669; 5841]; [2791; 4518]; [2818; 9347]; [1292; 1458]; [7016; 9785]; [2004; 6390]; [7609; 11053]; [207; 10281]; [8820; 10448]; [1853; 9604]; [4238; 5883]; [353; 3690]; [1564; 9501]; [692; 3156]; [4493; 10539]; [9777; 9926]; [3208; 5745]; [2425; 5107]; [3870; 4898]; [2708; 4641]; [1278; 6636]; [901; 10096]; [2740; 9814]; [1532; 7684]; [2208; 9953]; [4515; 8985]; [4575; 9790]; [7221; 10540]; [10543; 11307]; [239; 2248]; [1928; 4651]; [5849; 6501]; [5505; 6691]; [3980; 11078]; [1731; 7520]; [2233; 8670]; [519; 1484]; [5434; 11362]; [3197; 11571]; [1014; 1463]; [2466; 3953]; [2500; 9199]; [6647; 10803]; [5081; 6521]; [3023; 8193]; [2589; 5457]; [5512; 8959]; [7100; 9058]; [2815; 10873]; [4357; 9873]; [6452; 7302]; [6442; 6614]; [6884; 6959]; [2025; 6812]; [7286; 10911]; [1302; 3973]; [3337; 7013]; [1019; 7068]; [4257; 9642]; [4135; 8713]; [7629; 11250]; [3423; 9416]; [2272; 3656]; [4125; 7244]; [3796; 8466]; [1477; 5667]; [546; 1371]; [5158; 8030]; [1507; 7007]; [47; 1623]; [544; 8845]; [6669; 11100]; [3396; 7219]; [503; 11473]; [4204; 5443]; [6392; 9479]; [3279; 9263]; [10464; 11498]; [717; 9712]; [2654; 9211]; [622; 6442]; [3361; 7383]; [2671; 6936]; [7412; 8525]; [94; 7454]; [3660; 10833]; [19; 11252]; [7066; 11271]; [5153; 9914]; [7463; 8463]; [672; 3122]; [5677; 9510]; [1074; 10484]; [2657; 6075]; [5375; 8391]; [1848; 9878]; [7598; 10758]; [5547; 7185]; [1140; 8071]; [3114; 3318]; [4773; 7010]; [635; 6623]; [5912; 11255]; [9186; 9322]; [5268; 11153]; [1656; 10058]; [4987; 8659]; [1305; 9077]; [123; 1752]; [2270; 5033]; [1931; 5567]; [8180; 10332]; [5126; 7313]; [6930; 7976]; [8020; 9296]; [4811; 5208]; [241; 9328]; [2171; 8410]; [7496; 10050]; [2813; 5433]; [3229; 4557]; [3659; 4141]; [1847; 9252]; [5902; 7884]; [8162; 8598]; [7301; 9959]; [5804; 9978]; [4111; 10839]; [595; 9452]; [590; 9108]; [6911; 9023]; [5605; 9768]; [4121; 8494]; [3457; 9268]; [6848; 7920]; [4926; 7201]; [1502; 5403]; [1808; 8893]; [4516; 9023]; [92; 1634]; [594; 6948]; [10296; 11243]; [4503; 7283]; [2887; 10054]; [4191; 5476]; [3697; 9105]; [6037; 6365]; [3382; 10033]; [5692; 8582]; [5004; 8962]; [1162; 4961]; [544; 6080]; [4974; 6087]; [2174; 11286]; [7360; 9384]; [550; 2862]; [1324; 2256]; [1103; 6983]; [763; 7292]; [2535; 5034]; [1248; 6583]; [3892; 4254]; [4335; 8207]; [1677; 5942]; [4633; 5420]; [7972; 11052]; [592; 8349]; [1896; 10187]; [440; 8709]; [2575; 10475]; [1362; 3837]; [3884; 6995]; [5513; 9347]; [2552; 8771]; [3512; 11553]; [6879; 9811]; [1149; 6173]; [2855; 9711]; [2972; 11050]; [2977; 11394]; [3564; 8710]; [482; 10059]; [9663; 9744]; [5838; 7602]; [1850; 3776]; [4152; 8880]; [545; 8129]; [5930; 10574]; [3378; 8705]; [4684; 5708]; [396; 8006]; [4928; 8320]; [164; 2021]; [3801; 11282]; [5793; 11242]; [6575; 8245]; [5238; 9677]; [2588; 8027]; [1184; 8237]; [1691; 9731]; [7623; 9339]; [6910; 7188]; [2524; 7453]; [2729; 3721]; [1309; 10568]; [4669; 9907]; [593; 3982]; [9397; 11291]; [4951; 6587]; [82; 5752]; [2143; 7761]; [2081; 6883]; [923; 6368]; [2206; 11493]; [5162; 6807]; [2360; 11179]; [2071; 4660]; [5314; 8332]; [5157; 9846]; [1136; 4382]; [1194; 1354]; [1287; 1545]; [8289; 11243]; [5555; 7640]; [882; 3711]; [104; 3417]; [4742; 8291]; [1445; 8520]; [5583; 8907]; [1618; 10168]; [3156; 5986]; [752; 7021]; [255; 553]; [7748; 10515]; [1340; 7945]; [1190; 10630]; [1971; 11195]; [6790; 8533]; [3803; 7490]; [8027; 9149]; [1936; 5724]; [8560; 9612]; [463; 3885]; [3241; 11170]; [3660; 9841]; [3598; 8963]; [1764; 3927]; [8272; 9330]; [242; 5579]; [7988; 10325]; [5211; 5894]; [7795; 9930]; [6344; 10294]; [8049; 10978]; [7077; 7435]; [4568; 9400]; [3801; 6289]; [1386; 7135]; [6138; 8913]; [3285; 4652]; [1198; 1422]; [3028; 8968]; [595; 9265]; [4239; 9117]; [6887; 8442]; [6161; 7584]; [9306; 9967]; [7790; 9936]; [933; 9260]; [463; 6113]; [2424; 10924]; [6717; 8970]; [163; 6575]; [5756; 6717]; [5623; 7127]; [2517; 4672]; [4912; 5803]; [5779; 7640]; [4349; 6629]; [7422; 7446]; [766; 10436]; [329; 4019]; [7330; 7857]; [4716; 5110]; [6529; 10023]; [87; 7869]; [3447; 11372]; [390; 5426]; [8074; 8540]; [1637; 6730]; [1270; 5216]; [881; 1499]; [2997; 3215]; [3124; 5242]; [1417; 5643]; [5794; 8298]; [473; 7531]; [7635; 11472]; [4633; 5233]; [1334; 8799]; [317; 6237]; [4794; 6090]; [5444; 7138]; [965; 6458]; [1643; 3892]; [4798; 6963]; [5975; 7528]; [7034; 7283]; [1855; 4714]; [4105; 5464]; [3723; 9334]; [614; 2444]; [3043; 9575]; [6558; 10737]; [460; 8393]; [2327; 7153]; [3980; 9899]; [9969; 10795]; [9907; 9917]; [6371; 7878]; [9005; 11277]; [4125; 10253]; [321; 1818]; [6924; 11245]; [859; 9795]; [7268; 9557]; [9499; 11031]; [3032; 4848]; [974; 10684]; [2779; 4402]; [2366; 8959]; [7436; 9326]; [1966; 11469]; [4609; 6286]; [510; 11489]; [4698; 11239]; [2364; 5099]; [6663; 10507]; [3758; 7584]; [2359; 8138]; [4933; 5070]; [9058; 10857]; [5524; 11173]; [8084; 10651]; [708; 5438]; [2604; 4936]; [1076; 9806]; [3414; 10403]; [4197; 7631]; [6051; 7657]; [1947; 10264]; [5801; 6728]; [7877; 9799]; [2099; 6871]; [6858; 9820]; [786; 7199]; [161; 7147]; [3896; 6363]; [2027; 8688]; [5322; 7632]; [5788; 9125]; [4579; 6770]; [954; 1306]; [7722; 8326]; [2555; 8026]; [6820; 9686]; [7037; 8223]; [7317; 10492]; [1304; 2816]; [5820; 8259]; [1667; 6840]; [6154; 7381]; [2394; 10552]; [4314; 10444]; [7518; 7772]; [8025; 9266]; [9644; 10930]; [4229; 5610]; [2450; 6697]; [951; 10053]; [9612; 11392]; [757; 1142]; [8472; 9204]; [4746; 11205]; [2252; 7062]; [1748; 5085]; [1125; 5860]; [7293; 8943]; [7759; 10436]; [2149; 8812]; [181; 578]; [1061; 7538]; [3668; 6862]; [1402; 1415]; [8440; 10016]; [4013; 9526]; [4856; 10969]; [1264; 1481]; [3726; 3834]; [3602; 8494]; [2756; 6753]; [6122; 7792]; [3381; 9434]; [606; 2420]; [5562; 5883]; [698; 5392]; [3752; 5405]; [7633; 10862]; [5026; 9286]; [6801; 10709]; [1127; 4751]; [5180; 6720]; [5553; 11432]; [5698; 8403]; [533; 4012]; [2556; 5537]; [7824; 10807]; [5978; 10672]; [1125; 1672]; [10840; 11090]; [3369; 8269]; [571; 10131]; [1722; 9475]; [880; 10886]; [1742; 5963]; [3172; 4722]; [959; 9489]; [2547; 4670]; [8131; 8456]; [7909; 9575]; [4671; 4749]; [10510; 10582]; [5940; 8286]; [5537; 7115]; [81; 5958]; [5127; 8937]; [5899; 8635]; [3807; 4307]; [8352; 8990]; [2383; 7248]; [1913; 4855]; [2969; 6591]; [168; 8936]; [1314; 3772]; [8900; 10515]; [3836; 6930]; [7103; 10242]; [347; 3202]; [6011; 9226]; [1553; 3007]; [6912; 9893]; [1957; 7032]; [1315; 3593]; [8154; 9355]; [4421; 10185]; [1678; 11000]; [367; 1575]; [5316; 10283]; [762; 8520]; [5340; 9179]; [6623; 10140]; [2079; 9065]; [458; 10738]; [5692; 6598]; [2103; 7207]; [1009; 1981]; [7054; 10326]; [3183; 7839]; [7047; 9155]; [3091; 8250]; [2375; 8834]; [6394; 7809]; [4078; 8691]; [1188; 4548]; [4147; 9959]; [1002; 1160]; [7716; 11357]; [10276; 10835]; [276; 10101]; [966; 9050]; [8059; 10942]; [318; 7294]; [2238; 5688]; [1300; 5139]; [983; 2988]; [236; 8423]; [3816; 9980]; [1646; 4995]; [4616; 8343]; [6121; 8185]; [6329; 8888]; [6867; 9695]; [2465; 10955]; [3965; 10453]; [4806; 11069]; [4269; 10864]; [2037; 5001]; [1068; 5139]; [216; 5862]; [2000; 5119]; [2308; 3020]; [6353; 7380]; [8935; 10589]; [2235; 8399]; [1307; 10790]; [4607; 7826]; [8872; 10240]; [7189; 11035]; [126; 10483]; [5158; 11120]; [7455; 8710]; [4760; 8041]; [3036; 8835]; [2320; 6413]; [1616; 2096]; [3479; 6372]; [8295; 9855]; [796; 5740]; [6334; 8427]; [6795; 9576]; [1578; 9159]; [2474; 7230]; [5172; 8924]; [1438; 6146]; [8017; 11015]; [2463; 2907]; [8746; 10666]; [5050; 10624]; [4520; 7426]; [1311; 3338]; [4831; 5598]; [8709; 10784]; [3203; 6100]; [1620; 4847]; [6790; 9582]; [2872; 11413]; [4486; 5563]; [9489; 11124]; [5263; 8638]; [5291; 9905]; [8558; 10965]; [2046; 3908]; [6457; 9557]; [8077; 9911]; [7120; 11564]; [1917; 10853]; [7051; 7263]; [2039; 3868]; [9690; 11006]; [3289; 9607]; [7521; 8875]; [1188; 8199]; [8352; 8803]; [2400; 4032]; [636; 10315]; [3179; 7934]; [4648; 8119]; [2926; 3324]; [4545; 4988]; [5417; 11333]; [3707; 3889]; [4206; 5522]; [7758; 11447]; [4883; 11399]; [29; 10842]; [4664; 5619]; [3831; 9028]; [3263; 10264]; [436; 6470]; [313; 7568]; [8530; 11145]; [4853; 5491]; [1491; 4571]; [329; 11484]; [2350; 9930]; [3687; 8498]; [273; 11552]; [6400; 8218]; [1204; 2262]; [1140; 6973]; [6248; 10830]; [7466; 11396]; [4255; 10645]; [1325; 10136]; [4121; 8201]; [3555; 9510]; [2500; 9874]; [2063; 3457]; [5028; 10568]; [3194; 4778]; [10491; 11418]; [8039; 9753]; [2377; 3058]; [7667; 7895]; [5361; 9465]; [2061; 3761]; [1314; 2780]; [8619; 9281]; [494; 6424]; [1992; 11511]; [3170; 8514]; [778; 8812]; [9515; 10735]; [4229; 8269]; [9950; 10663]; [2116; 3818]; [1925; 7256]; [7902; 10771]; [1307; 1959]; [3289; 7647]; [9259; 9991]; [2882; 8986]; [7047; 11196]; [5808; 9753]; [82; 7769]; [9550; 10140]; [4560; 10476]; [859; 10844]; [1948; 8556]; [6392; 6771]; [3616; 5948]; [1288; 3787]; [156; 2241]; [1723; 2961]; [5233; 6031]; [2774; 11523]; [2034; 7549]; [7729; 7968]; [5370; 6494]; [5702; 8953]; [6734; 6885]; [2054; 8201]; [5732; 11047]; [2174; 6805]; [958; 3279]; [7532; 7804]; [4538; 5590]; [7239; 10211]; [4378; 10970]; [739; 1636]; [2351; 8545]; [9238; 10561]; [5224; 6268]; [7860; 9740]; [231; 6333]; [1972; 9680]; [671; 6605]; [1703; 4537]; [2068; 2972]; [13; 10577]; [2654; 8731]; [603; 5912]; [7263; 8703]; [1043; 5430]; [539; 4207]; [5774; 7085]; [2250; 8089]; [5496; 10524]; [3239; 8603]; [568; 6076]; [4305; 6119]; [1427; 10681]; [1036; 4609]; [926; 6723]; [9138; 9956]; [5600; 7090]; [7244; 9750]; [2048; 4548]; [3269; 11047]; [1480; 11446]; [2672; 6627]; [4974; 7567]; [1173; 9983]; [7145; 9744]; [2883; 11011]; [1047; 11564]; [6181; 10226]; [352; 4357]; [4288; 7239]; [1917; 10666]; [2638; 4764]; [2760; 5693]; [1762; 7345]; [642; 7314]; [260; 4768]; [1811; 7237]; [2445; 7752]; [7445; 9632]; [820; 6273]; [2284; 6114]; [2437; 7110]; [6480; 10643]; [4990; 5417]; [1753; 9861]; [509; 8074]; [2519; 8640]; [1402; 8880]; [7661; 11327]; [457; 7160]; [2836; 3594]; [2079; 8341]; [5537; 8969]; [1112; 2136]; [2705; 4831]; [1586; 1992]; [4910; 5838]; [3858; 10637]; [7764; 11455]; [928; 3712]; [10389; 11328]; [2147; 9384]; [2978; 9312]; [5497; 6537]; [3002; 7454]; [1071; 8901]; [3218; 6520]; [4582; 6157]; [4155; 6844]; [7415; 7487]; [4121; 4981]; [12; 9496]; [9353; 10594]; [819; 4866]; [9318; 11539]; [1161; 1597]; [8941; 11589]; [2780; 3261]; [5510; 6368]; [4697; 7019]; [5473; 7240]; [929; 5411]; [7157; 9299]; [1737; 3635]; [7282; 7493]; [6318; 7975]; [7302; 8899]; [1889; 4406]; [4628; 6101]; [1923; 10406]; [9853; 10543]; [3886; 5464]; [884; 8270]; [2661; 10520]; [2249; 11515]; [4718; 5213]; [10934; 10996]; [4428; 11301]; [2090; 4288]; [226; 9209]; [1933; 6556]; [5761; 5963]; [8694; 10907]; [7042; 11015]; [2677; 7239]; [8439; 9634]; [5017; 8663]; [1340; 3009]; [3960; 6702]; [592; 8219]; [1182; 11468]; [2054; 11397]; [7787; 8890]; [1051; 6289]; [7721; 10522]; [2981; 5371]; [8922; 9229]; [2645; 9586]; [2949; 9997]; [3102; 6829]; [7243; 10897]; [3126; 4971]; [868; 3549]; [3504; 3611]; [4748; 6152]; [1659; 10494]; [20; 11561]; [299; 4560]; [10413; 11243]; [601; 4898]; [2373; 6804]; [4955; 10013]; [7286; 9439]; [3647; 10685]; [5203; 7082]; [4415; 9510]; [3047; 5213]; [7040; 9383]; [4397; 8150]; [3929; 6584]; [6607; 9501]; [3541; 5721]; [3988; 7164]; [3554; 10090]; [2329; 6101]; [4259; 5183]; [6432; 8187]; [3853; 7878]; [1573; 10669]; [3801; 6964]; [4647; 7924]; [5429; 11343]; [4211; 8525]; [3379; 11378]; [910; 11264]; [4052; 7714]; [6385; 10219]; [4081; 6200]; [1381; 4433]; [2464; 10998]; [876; 2985]; [5237; 11523]; [5165; 9957]; [380; 5033]; [6751; 8475]; [4610; 8392]; [4044; 9701]; [1401; 8468]; [4885; 10317]; [8211; 9328]; [4697; 11020]; [6593; 11272]; [1043; 9699]; [6524; 9600]; [4148; 6267]; [5777; 8619]; [1171; 5912]; [7337; 8922]; [7886; 9164]; [861; 4932]; [8042; 9677]; [1634; 4855]; [6787; 6977]; [3099; 7550]; [4025; 4332]; [4709; 4964]; [2242; 2267]; [6696; 10996]; [1161; 1410]; [6290; 10308]; [5491; 8383]; [5756; 9620]; [4851; 7299]; [9400; 9472]; [2058; 9505]; [1831; 10280]; [11273; 11430]; [3018; 5117]; [5325; 6401]; [1708; 11378]; [8653; 11120]; [9861; 10998]; [2922; 8792]; [1735; 6785]; [2767; 4717]; [1489; 4100]; [1619; 9808]; [4135; 9014]; [1213; 8366]; [3761; 6329]; [2846; 3320]; [6001; 6391]; [9428; 11116]; [1972; 10111]; [759; 2719]; [6772; 8897]; [1549; 10917]; [3934; 7196]; [11000; 11429]; [105; 1148]; [3594; 7505]; [2278; 4152]; [545; 5584]; [1596; 7730]; [386; 11189]; [5460; 9046]; [4545; 6037]; [6110; 6684]; [4135; 7859]; [5418; 8820]; [6507; 7286]; [6136; 9036]; [224; 10080]; [2088; 10794]; [10851; 10932]; [1799; 4275]; [8648; 9971]; [1200; 9608]; [2612; 7007]; [4757; 9461]; [1959; 11323]; [8027; 10792]; [411; 4614]; [9825; 10886]; [4182; 4241]; [8977; 9099]; [1284; 8151]; [2882; 11190]; [3314; 10847]; [503; 1170]; [5640; 9929]; [103; 10096]; [634; 10486]; [668; 9316]; [5288; 9477]; [2834; 10395]; [5107; 6433]; [105; 3726]; [10521; 11528]; [1393; 5061]; [4197; 7151]; [6633; 8283]; [2180; 2408]; [9979; 10198]; [3226; 4210]; [6226; 10376]; [1605; 6637]; [2699; 11109]; [2411; 8198]; [8517; 10403]; [1829; 4810]; [5682; 5967]; [3168; 6834]; [3846; 6520]; [3435; 4734]; [1630; 4600]; [8482; 10567]; [6328; 10279]; [3678; 7875]; [4798; 7906]; [3681; 5140]; [1279; 7002]; [4088; 9436]; [6636; 7399]; [8687; 8720]; [5574; 10756]; [4701; 4940]; [2680; 2707]; [7817; 11466]; [9747; 10548]; [2957; 11094]; [1455; 8517]; [1486; 3666]; [1890; 8445]; [5004; 9263]; [4602; 10946]; [5557; 6214]; [3729; 10792]; [1690; 3846]; [10538; 11427]; [913; 4154]; [3616; 6192]; [8999; 11220]; [5482; 6979]; [3212; 11212]; [5351; 8216]; [1908; 2958]; [499; 2824]; [1011; 11078]; [5232; 6804]; [2527; 4693]; [2031; 4489]; [441; 8481]; [2650; 6978]; [995; 3405]; [1308; 1650]; [3171; 5926]; [2522; 7732]; [6940; 10388]; [6868; 8822]; [4292; 8811]; [82; 442]; [2772; 4874]; [1914; 2399]; [2853; 10720]; [6213; 10059]; [7581; 7940]; [1918; 9688]; [4934; 9217]; [1885; 7296]; [3734; 6948]; [4878; 5121]; [6433; 9244]; [1395; 6880]; [6431; 8417]; [5490; 10603]; [2260; 9802]; [6673; 7950]; [4367; 10274]; [8823; 9250]; [5886; 7570]; [5669; 9033]; [6889; 7016]; [8036; 8870]; [6477; 8011]; [6174; 8202]; [10845; 11304]; [7564; 9814]; [5634; 9951]; [1964; 8878]; [5388; 10676]; [2124; 6881]; [436; 7332]; [1145; 5577]; [3173; 8200]; [1621; 5506]; [2713; 9905]; [9029; 9476]; [1682; 9165]; [7649; 7828]; [4510; 9397]; [7965; 10508]; [2335; 10484]; [203; 7511]; [2629; 3791]; [7794; 8182]; [550; 11002]; [6749; 9234]; [5743; 11025]; [1478; 7830]; [1285; 7435]; [4588; 4742]; [2649; 7826]; [5615; 8746]; [1193; 8600]; [2755; 8976]; [3407; 6687]; [4305; 8591]; [79; 5351]; [5894; 10790]; [7203; 7310]; [744; 7461]; [4486; 7848]; [2082; 8883]; [3897; 7453]; [1524; 10053]; [5944; 7874]; [4755; 5794]; [6434; 6755]; [100; 6578]; [8560; 9913]; [7896; 10687]; [210; 10910]; [2018; 8309]; [3475; 6979]; [4445; 8197]; [176; 4129]; [5566; 11082]; [6034; 6986]; [4962; 9655]; [11011; 11326]; [2849; 5204]; [522; 1733]; [1138; 3951]; [2977; 3669]; [5712; 7874]; [5301; 6088]; [1815; 3412]; [6670; 6823]; [1291; 10582]; [1254; 8448]; [3278; 7165]; [6690; 6694]; [3706; 10086]; [10641; 11392]; [2946; 7365]; [7463; 10000]; [5969; 11448]; [5742; 8059]; [3725; 4070]; [4253; 10605]; [850; 3268]; [6980; 10031]; [1885; 4881]; [4144; 9157]; [7985; 8769]; [2534; 8710]; [5366; 6432]; [5399; 11453]; [7376; 10381]; [1963; 2478]; [7816; 10653]; [6130; 7767]; [3235; 3280]; [3768; 10159]; [4040; 8403]; [2551; 6031]; [5070; 5508]; [832; 11333]; [4414; 10307]; [7340; 11074]; [5931; 10940]; [3009; 10292]; [1333; 6596]; [331; 10758]; [42; 75]; [410; 2191]; [6992; 10741]; [3470; 8408]; [6990; 9914]; [144; 7899]; [6641; 9760]; [3618; 5273]; [1904; 7509]; [4459; 6643]; [1682; 8628]; [2535; 4343]; [3609; 8193]; [128; 5861]; [8603; 10228]; [726; 6719]; [2777; 3876]; [2147; 3480]; [5207; 7445]; [8459; 9725]; [9183; 9756]; [4575; 11140]; [3575; 11211]; [2835; 11401]; [235; 6108]; [9637; 10865]; [3720; 11565]; [573; 6103]; [827; 2987]; [6768; 6845]; [6988; 9063]; [10816; 11476]; [487; 10466]; [10719; 11543]; [6926; 11568]; [166; 4409]; [3999; 10576]; [2721; 3543]; [112; 7556]; [4489; 10211]; [4396; 7768]; [220; 4645]; [5729; 8846]; [691; 10646]; [2991; 8507]; [4486; 7661]; [1719; 11088]; [811; 2080]; [1960; 7013]; [6514; 9530]; [2740; 10359]; [278; 5000]; [1522; 7541]; [4481; 6536]; [7218; 10814]; [2762; 5422]; [2359; 4251]; [1951; 6900]; [4936; 7116]; [1515; 3337]; [1976; 7896]; [9111; 10768]; [6499; 8848]; [4837; 10520]; [4479; 6840]; [2610; 11417]; [582; 9548]; [1829; 10852]; [1082; 9871]; [708; 11350]; [5460; 6712]; [633; 8732]; [20; 10195]; [4676; 5849]; [317; 10189]; [2311; 10976]; [3113; 5248]; [6504; 11070]; [695; 6577]; [3642; 4811]; [1933; 10801]; [652; 9132]; [2739; 5946]; [7630; 11266]; [5851; 5937]; [370; 7167]; [1958; 9518]; [3231; 9791]; [3066; 5028]; [2344; 5797]; [4304; 6219]; [1532; 9302]; [3438; 7236]; [5831; 8294]; [690; 8461]; [1032; 8198]; [510; 9025]; [6200; 9854]; [4494; 8945]; [8410; 11205]; [4632; 8909]; [5822; 9679]; [1061; 10067]; [3642; 4006]; [572; 6870]; [4648; 6379]; [5548; 8356]; [6283; 8576]; [4629; 7857]; [10487; 10714]; [7350; 8192]; [2737; 2816]; [10445; 10488]; [7098; 11354]; [6193; 9033]; [1262; 4314]; [5440; 7483]; [493; 4483]; [1520; 8487]; [517; 2625]; [4557; 6641]; [9264; 9400]; [1048; 8677]; [7242; 11483]; [4219; 10029]; [6521; 7936]; [791; 8462]; [2525; 3468]; [4178; 10378]; [4701; 5989]; [2524; 10413]; [9344; 11207]; [3952; 8345]; [4953; 6210]; [8098; 8593]; [873; 9965]; [2554; 5337]; [2666; 6332]; [3887; 6415]; [1731; 5300]; [1613; 10906]; [1306; 9443]; [9926; 10781]; [3665; 4501]; [5087; 11286]; [3196; 9126]; [2107; 4998]; [10472; 10725]; [2910; 9294]; [1609; 10383]; [6805; 9923]; [6860; 9630]; [542; 9986]; [6772; 7531]; [1316; 9380]; [1605; 7231]; [4921; 10435]; [5862; 8249]; [4833; 7582]; [3556; 9819]; [2809; 8838]; [244; 2600]; [9746; 10971]; [1410; 2976]; [3793; 9008]; [40; 9186]; [5262; 9947]; [7137; 8568]; [7696; 10252]; [2463; 11584]; [4641; 7762]; [2757; 11307]; [3598; 5507]; [6247; 9938]; [2352; 10440]; [3721; 7011]; [3504; 8474]; [4215; 8300]; [6300; 10703]; [78; 10767]; [2468; 7390]; [606; 6722]; [3276; 3362]; [1091; 3761]; [1352; 1816]; [9065; 9832]; [7482; 8579]; [813; 7200]; [3989; 8896]; [4858; 5144]; [1941; 11256]; [4525; 8876]; [411; 6631]; [1006; 10978]; [2245; 6005]; [1470; 2976]; [1427; 5558]; [487; 4936]; [1190; 9752]; [4036; 4928]; [206; 2442]; [4727; 8983]; [7533; 11146]; [2977; 8556]; [3362; 8367]; [8897; 11537]; [673; 4537]; [1638; 7663]; [6397; 6448]; [1639; 10517]; [460; 9125]; [2317; 3033]; [8923; 9725]; [2445; 5662]; [8888; 11424]; [5115; 5308]; [4631; 8871]; [4215; 7495]; [3069; 8495]; [3600; 8131]; [5432; 10088]; [6326; 8086]; [3153; 10071]; [10348; 10742]; [7757; 9699]; [6707; 11161]; [10840; 11204]; [1934; 9280]; [2333; 7299]; [1565; 5441]; [3708; 11232]; [8599; 10136]; [934; 11236]; [1495; 3167]; [5077; 5551]; [1734; 3183]; [271; 2032]; [4042; 8075]; [6833; 9206]; [2426; 10092]; [3388; 6531]; [1141; 6052]; [3322; 8917]; [7838; 7944]; [3163; 7352]; [1229; 11534]; [8600; 9987]; [143; 10333]; [755; 5235]; [3282; 8737]; [2993; 8634]; [6324; 7235]; [4092; 7788]; [3958; 4590]; [6384; 7286]; [8235; 8519]; [2347; 7705]; [2929; 11093]; [535; 6400]; [11340; 11503]; [5381; 5561]; [2280; 9866]; [154; 292]; [4571; 9893]; [1157; 8783]; [1305; 9435]; [940; 4584]; [6258; 9217]; [3329; 11562]; [8458; 9880]; [3565; 3733]; [5311; 6670]; [10820; 10871]; [5849; 7477]; [4469; 8835]; [2301; 3923]; [2330; 9579]; [477; 5267]; [3993; 10037]; [5679; 8759]; [1207; 2834]; [6464; 9443]; [1820; 4000]; [2092; 2244]; [6076; 8580]; [2196; 6731]; [3089; 7537]; [3275; 4509]; [4897; 11352]; [4520; 9150]; [4179; 8857]; [1058; 5370]; [7526; 11374]; [1992; 5396]; [865; 4194]; [94; 2819]; [124; 10575]; [680; 2162]; [4193; 8913]; [9611; 11498]; [7519; 7924]; [2080; 4462]; [549; 9815]; [3947; 5474]; [6746; 11384]; [1669; 3430]; [3984; 8739]; [516; 1007]; [8710; 9296]; [2733; 3529]; [2796; 7261]; [3467; 3524]; [6644; 10326]; [7740; 9963]; [1508; 5175]; [3960; 6840]; [573; 1891]; [8752; 11400]; [7420; 7514]; [2895; 9899]; [4138; 8051]; [4420; 11147]; [1655; 8985]; [8317; 8439]; [6128; 11348]; [4894; 10249]; [188; 3928]; [3292; 4058]; [5110; 8561]; [1433; 2907]; [5847; 8827]; [6212; 7262]; [4159; 9278]; [800; 6377]; [1266; 11280]; [1636; 6649]; [5378; 7036]; [3346; 7677]; [10350; 11032]; [2659; 6747]; [10004; 10395]; [107; 11294]; [508; 5222]; [2884; 2893]; [4585; 8339]; [1658; 7347]; [598; 5115]; [753; 2774]; [443; 4046]; [5427; 9557]; [1566; 7758]; [4706; 9797]; [1375; 8190]; [1155; 6726]; [315; 8964]; [1882; 4022]; [6388; 8777]; [476; 9821]; [7594; 7828]; [2528; 7580]; [4121; 10275]; [4114; 9104]; [1183; 8370]; [586; 3950]; [87; 3071]; [8966; 11463]; [4262; 5969]; [122; 8919]; [588; 10412]; [1641; 2805]; [8957; 11350]; [8324; 10683]; [3498; 6512]; [4938; 5959]; [3183; 5188]; [3566; 4926]; [5873; 10374]; [3409; 4188]; [1473; 7543]; [2620; 9397]; [1169; 10515]; [694; 11188]; [8784; 9328]; [3741; 5866]; [1590; 5095]; [1251; 5629]; [1688; 6384]; [1120; 6866]; [5636; 5893]; [3674; 8027]; [5047; 6252]; [446; 3889]; [6191; 10841]; [4582; 7613]; [7102; 9944]; [7369; 7844]; [4475; 9244]; [4330; 6611]; [213; 685]; [3953; 4409]; [2301; 6769]; [1711; 3520]; [147; 6481]; [6253; 8686]; [646; 3950]; [8812; 10191]; [1799; 9756]; [1929; 8294]; [387; 8570]; [227; 4905]; [6579; 10549]; [2513; 5312]; [3600; 9367]; [1513; 10301]; [6611; 8552]; [7550; 10457]; [5308; 9568]; [3216; 5994]; [4461; 8383]; [1407; 1954]; [5140; 10923]; [904; 1333]; [5299; 8701]; [2832; 9387]; [8000; 11043]; [6446; 7522]; [677; 11126]; [10880; 11465]; [5850; 6710]; [6958; 9390]; [8986; 11259]; [4041; 9086]; [586; 5723]; [1479; 6529]; [8545; 11516]; [4663; 8840]; [652; 9726]; [2915; 5076]; [4682; 6638]; [1416; 8432]; [5406; 5915]; [5184; 7788]; [5065; 5622]; [5645; 8183]; [2914; 11267]; [5903; 6721]; [3432; 6534]; [479; 10737]; [4933; 7388]; [3706; 8988]; [5206; 8486]; [6546; 10735]; [2866; 4810]; [1276; 8802]; [2090; 4589]; [510; 9269]; [940; 8853]; [4589; 6043]; [1540; 10538]; [1103; 4121]; [6168; 10560]; [523; 7252]; [7415; 10366]; [6699; 10196]; [1006; 4188]; [8585; 9760]; [4486; 6295]; [3297; 4215]; [1893; 4425]; [652; 8571]; [612; 9172]; [6904; 8349]; [3382; 6016]; [921; 10681]; [2165; 6052]; [5683; 6731]; [1832; 3368]; [4092; 11252]; [5484; 6521]; [9477; 10691]; [5397; 8030]; [1911; 5354]; [636; 1248]; [9414; 10342]; [3461; 4215]; [3493; 7136]; [1416; 4594]; [5805; 8764]; [7197; 11203]; [1846; 3424]; [6104; 8831]; [5514; 5582]; [3363; 11227]; [3402; 10401]; [102; 4697]; [6139; 11269]; [4322; 9620]; [3828; 6079]; [3231; 8075]; [7754; 9027]; [435; 4348]; [744; 11519]; [5725; 9185]; [5162; 10011]; [7438; 9730]; [3085; 5217]; [1027; 7643]; [807; 3173]; [2257; 4836]; [5255; 7923]; [8178; 11425]; [50; 6385]; [7804; 8740]; [1766; 4949]; [5162; 10361]; [759; 8013]; [7512; 8339]; [10567; 11206]; [6291; 10885]; [1559; 9759]; [2400; 3959]; [591; 6335]; [7498; 10511]; [6570; 10650]; [710; 1304]; [5534; 8812]; [302; 3199]; [8302; 11245]; [706; 3814]; [1891; 1988]; [5089; 8169]; [1360; 5735]; [6926; 10470]; [4716; 6086]; [7152; 10224]; [1170; 3359]; [173; 7865]; [1221; 5576]; [2592; 9390]; [5768; 11086]; [2036; 5725]; [6203; 11014]; [503; 3081]; [604; 3887]; [4181; 5927]; [9351; 10662]; [2873; 8851]; [5237; 10669]; [7565; 10578]; [6644; 7724]; [6477; 9304]; [3311; 6044]; [2249; 9401]; [6105; 7446]; [1910; 3519]; [4931; 10562]; [6139; 6276]; [3799; 9016]; [2431; 4719]; [870; 11361]; [4610; 10921]; [1329; 3015]; [7553; 9413]; [3518; 9905]; [7434; 8001]; [3232; 10073]; [4574; 5979]; [5868; 7129]; [238; 7105]; [1795; 7891]; [1867; 3041]; [3543; 5239]; [2173; 10695]; [3541; 4412]; [1368; 6326]; [8422; 9044]; [5426; 10167]; [10350; 11463]; [646; 6341]; [5374; 9977]; [1692; 7389]; [2889; 10084]; [4529; 5455]; [2165; 3637]; [666; 6993]; [4475; 8602]; [2751; 9396]; [2006; 9242]; [5497; 5846]; [1514; 8780]; [426; 7506]; [2291; 5439]; [8354; 10980]; [3180; 9509]; [5550; 8109]; [2436; 5039]; [10343; 10642]; [6604; 7520]; [8587; 9646]; [8805; 11037]; [7217; 9440]; [1336; 5633]; [1093; 5875]; [1898; 10998]; [2237; 10464]; [2457; 6266]; [6681; 8679]; [4040; 8273]; [6996; 7751]; [3794; 4834]; [3047; 9515]; [679; 10961]; [6061; 6719]; [9388; 10836]; [1026; 1620]; [1518; 2082]; [179; 9857]; [2264; 5844]; [5493; 10584]; [8335; 8994]; [5126; 9070]; [4037; 4188]; [2003; 4756]; [5526; 9943]; [5550; 10337]; [538; 6942]; [3494; 6420]; [6577; 7925]; [4801; 6277]; [3529; 8858]; [1041; 8694]; [3520; 11024]; [781; 3667]; [9125; 9271]; [32; 5269]; [3022; 10747]; [5952; 9004]; [1714; 5003]; [5607; 11221]; [2651; 5327]; [5853; 8244]; [2147; 3350]; [7379; 8963]; [6231; 7638]; [3442; 5856]; [709; 8113]; [1433; 8144]; [2302; 8556]; [9182; 10155]; [3692; 6004]; [4378; 6709]; [6057; 8424]; [1883; 1964]; [4158; 7874]; [7864; 8604]; [5393; 6165]; [3228; 7940]; [5458; 6560]; [325; 11506]; [2469; 8854]; [5863; 7777]; [4495; 8398]; [5859; 11041]; [40; 5860]; [5055; 6520]; [2529; 6626]; [2534; 6970]; [7513; 7973]; [244; 2657]; [8005; 8435]; [6066; 11519]; [495; 6440]; [4147; 10317]; [10212; 10269]; [4916; 7115]; [1306; 8345]; [530; 2462]; [3805; 9799]; [8774; 10114]; [3490; 8475]; [3679; 11380]; [5441; 8434]; [8798; 9010]; [9018; 10474]; [1976; 4383]; [57; 9597]; [336; 2596]; [5910; 11356]; [1547; 1991]; [5090; 10836]; [3078; 6437]; [2259; 10306]; [3288; 7967]; [170; 10413]; [299; 6097]; [17; 3001]; [6272; 8712]; [379; 7554]; [4830; 6186]; [3615; 9301]; [3221; 3712]; [7508; 9857]; [5369; 10601]; [9003; 9011]; [8934; 11126]; [2836; 8782]; [1248; 7185]; [475; 4983]; [8790; 11347]; [3329; 9846]; [2238; 4891]; [3333; 6555]; [5879; 7855]; [242; 10824]; [1248; 7535]; [2487; 2562]; [3753; 8080]; [9078; 10474]; [2258; 2510]; [432; 1499]; [2390; 2629]; [1708; 8459]; [1574; 6015]; [8265; 10371]; [9628; 11291]; [13; 11122]; [2664; 10718]; [2929; 5539]; [1127; 11338]; [4618; 7942]; [4709; 7306]; [10156; 10629]; [1940; 7654]; [3901; 8301]; [1804; 4383]; [3457; 11293]; [1213; 7325]; [9769; 10368]; [3024; 11411]; [3385; 5940]; [4570; 10530]; [122; 9163]; [2522; 7228]; [9511; 9551]; [6462; 6876]; [8177; 10500]; [6071; 7220]; [10510; 10753]; [1300; 6920]; [9882; 11184]; [6497; 9314]; [4508; 6619]; [7147; 10362]; [6951; 7040]; [7236; 9653]; [3623; 5704]; [3105; 4021]; [2379; 3163]; [8084; 11440]; [4840; 8297]; [6237; 11080]; [4833; 4874]; [1906; 11052]; [5514; 8241]; [7924; 10404]; [2468; 5837]; [3121; 4904]; [4526; 7548]; [223; 8814]; [3584; 9509]; [5511; 11326]; [2951; 5432]; [6913; 8037]; [4103; 7630]; [8590; 8925]; [211; 4266]; [178; 8290]; [959; 8855]; [3420; 7573]; [2510; 4908]; [3723; 5130]; [9335; 10210]; [1921; 4513]; [5496; 5726]; [5840; 10454]; [5716; 7944]; [8517; 10517]; [728; 9107]; [4186; 9735]; [6808; 10091]; [3310; 5900]; [1608; 3235]; [6279; 10501]; [3777; 8749]; [3408; 6408]; [1066; 6069]; [1561; 6048]; [4116; 5182]; [2338; 9123]; [6851; 8633]; [1748; 5874]; [4767; 9838]; [182; 1592]; [1224; 6628]; [7602; 11241]; [2215; 7969]; [1248; 4770]; [594; 10396]; [3827; 8462]; [3576; 4679]; [3016; 9186]; [9268; 11216]; [6339; 9397]; [3911; 10038]; [6244; 10291]; [2885; 3226]; [4471; 8914]; [4526; 8621]; [6804; 9167]; [3159; 5680]; [7861; 8095]; [2252; 6696]; [5467; 9818]; [5113; 9320]; [9321; 10446]; [6365; 8716]; [5122; 9783]; [2746; 6450]; [2940; 9699]; [8284; 9137]; [2346; 8960]; [1904; 2199]; [1835; 4314]; [5800; 6436]; [2710; 3760]; [595; 9062]; [2059; 8903]; [8621; 9661]; [1995; 4946]; [185; 10884]; [625; 11156]; [9563; 10329]; [4541; 6246]; [4477; 4541]; [5067; 5538]; [10987; 11525]; [7928; 8162]; [2508; 9668]; [6847; 8059]; [5973; 11467]; [1453; 3616]; [214; 6337]; [6026; 10347]; [5972; 7078]; [507; 2425]; [1785; 3796]; [642; 8477]; [4928; 5352]; [146; 11279]; [4711; 6815]; [1944; 7990]; [4488; 8463]; [3614; 5455]; [3804; 11214]; [1039; 9052]; [2156; 2396]; [5182; 9783]; [506; 6337]; [4676; 4727]; [4454; 5846]; [1410; 4269]; [2559; 9202]; [3146; 6518]; [4610; 6359]; [5446; 6631]; [4821; 10743]; [4430; 11087]; [4976; 8402]; [2806; 3417]; [3642; 3689]; [2079; 9504]; [1673; 8062]; [2; 4710]; [3455; 4994]; [4327; 7175]; [9617; 9760]; [8619; 11412]; [7308; 7649]; [985; 7661]; [4257; 9065]; [2077; 3392]; [1022; 3756]; [3594; 6277]; [4628; 5036]; [5780; 9486]; [5341; 6406]; [81; 2909]; [912; 2837]; [1538; 5743]; [1970; 1990]; [2625; 9798]; [4094; 7731]; [2191; 7062]; [2134; 6528]; [4454; 11457]; [259; 10536]; [6816; 10950]; [4142; 10404]; [1938; 5835]; [312; 7918]; [1864; 7606]; [3488; 9614]; [3579; 11230]; [5107; 6360]; [3482; 11297]; [6625; 10601]; [340; 517]; [4016; 8952]; [2450; 3916]; [3100; 5718]; [3700; 9655]; [956; 1954]; [5935; 7121]; [3378; 7160]; [6518; 9199]; [8928; 11362]; [3030; 3444]; [4994; 7772]; [1847; 9480]; [1822; 11113]; [7417; 10170]; [3398; 5533]; [719; 8807]; [510; 10131]; [448; 7001]; [3087; 10744]; [855; 11297]; [3374; 3604]; [6512; 8980]; [7728; 9473]; [118; 10280]; [2614; 8053]; [434; 1626]; [652; 9433]; [4454; 7619]; [1866; 6847]; [4010; 4195]; [1048; 6400]; [516; 7293]; [2890; 9799]; [1135; 9028]; [574; 10681]; [2601; 3280]; [3905; 5872]; [6993; 11131]; [4495; 6869]; [6117; 8050]; [9267; 10777]; [1855; 2901]; [9363; 10485]; [3162; 9174]; [6297; 6705]; [2009; 9003]; [5302; 11284]; [39; 4106]; [639; 2381]; [3687; 11247]; [2567; 4800]; [807; 3685]; [7291; 10946]; [626; 641]; [10687; 10696]; [6640; 9673]; [4422; 7680]; [5879; 10514]; [96; 7242]; [4046; 8332]; [626; 991]; [8334; 9417]; [1961; 2896]; [1558; 8141]; [6995; 10022]; [8277; 8883]; [6964; 8457]; [10455; 11477]; [923; 7401]; [2824; 11407]; [438; 8110]; [677; 3962]; [8677; 9002]; [4976; 9370]; [2077; 4010]; [4373; 10797]; [4994; 9195]; [3913; 9092]; [4873; 11120]; [598; 1602]; [1222; 4435]; [5989; 7999]; [2477; 4102]; [5925; 10458]; [1844; 3435]; [811; 6032]; [2244; 10724]; [3560; 8415]; [4614; 10078]; [9866; 9927]; [3923; 9406]; [1748; 10493]; [1146; 5729]; [6914; 11322]; [2432; 11125]; [7998; 9444]; [1611; 6997]; [611; 5570]; [8339; 8956]; [1088; 8353]; [2908; 9549]; [1290; 11493]; [956; 5955]; [8636; 11579]; [2693; 11058]; [6960; 7129]; [2409; 11299]; [7542; 9736]; [5680; 9068]; [969; 2403]; [1758; 6993]; [4115; 5388]; [247; 2418]; [4178; 9874]; [8381; 10656]; [2280; 3133]; [2364; 7742]; [1649; 8928]; [615; 8671]; [3574; 7666]; [929; 9770]; [2328; 2800]; [7023; 10460]; [2849; 8164]; [2824; 3381]; [449; 10072]; [3492; 11424]; [300; 3533]; [2462; 7122]; [4368; 8062]; [6453; 8213]; [407; 6813]; [2225; 11316]; [1907; 6311]; [658; 4180]; [6483; 10307]; [3455; 9263]; [7408; 9870]; [9116; 10071]; [687; 6049]; [38; 1439]; [3830; 7605]; [9622; 11340]; [1341; 10222]; [1697; 10823]; [2382; 5264]; [921; 11356]; [5817; 10604]; [1958; 3216]; [1861; 9699]; [1634; 10474]; [576; 741]; [4220; 4757]; [4973; 9690]; [3729; 7149]; [4216; 7267]; [114; 121]; [824; 8390]; [1290; 3467]; [2910; 7985]; [11; 2625]; [602; 8728]; [5392; 10990]; [9714; 9774]; [2119; 10115]; [4150; 9249]; [7877; 8604]; [4427; 7837]; [3615; 5707]; [251; 4714]; [1216; 11250]; [4886; 5907]; [1734; 6517]; [592; 4225]; [9396; 11535]; [5820; 10097]; [6334; 7874]; [3753; 7519]; [4904; 6863]; [7056; 11242]; [1514; 11065]; [8272; 10981]; [3373; 5019]; [608; 2857]; [5238; 9368]; [5339; 10174]; [262; 2220]; [1406; 6809]; [287; 9632]; [3026; 11327]; [1033; 11142]; [1602; 7098]; [5428; 6432]; [2121; 5219]; [65; 1302]; [5414; 8254]; [3423; 11148]; [10332; 11233]; [9363; 11371]; [1243; 2442]; [4167; 8798]; [1302; 9438]; [5689; 10529]; [2972; 6903]; [2352; 11359]; [8942; 9247]; [1204; 9280]; [1293; 2155]; [3748; 9753]; [3443; 9871]; [1506; 3202]; [418; 7590]; [1878; 2027]; [2626; 6616]; [5694; 6335]; [9210; 10351]; [2744; 3639]; [3303; 5323]; [3370; 7299]; [2530; 9537]; [1780; 8285]; [652; 9864]; [270; 7318]; [7156; 9863]; [5254; 5632]; [2298; 10318]; [6646; 8071]; [853; 4111]; [1730; 10800]; [1477; 6944]; [2701; 10708]; [4367; 8054]; [232; 11348]; [3441; 4856]; [789; 5789]; [548; 6858]; [4459; 4610]; [417; 10347]; [3092; 7331]; [819; 7883]; [1039; 10101]; [3274; 9065]; [880; 8536]; [5701; 6701]; [3336; 6910]; [5817; 10067]; [1834; 4333]; [9235; 11296]; [1561; 8870]; [8591; 11194]; [3085; 6510]; [618; 3813]; [1586; 4204]; [6410; 7548]; [1383; 3121]; [8182; 9454]; [3380; 9841]; [8982; 10069]; [4477; 8168]; [4655; 10160]; [1013; 1309]; [7676; 10787]; [2225; 3558]; [8644; 10424]; [2135; 4796]; [2469; 3918]; [3962; 9415]; [3750; 11222]; [2346; 11432]; [7198; 11162]; [2069; 6428]; [257; 11539]; [3899; 8312]; [2715; 6576]; [6075; 10833]; [3499; 10822]; [132; 10312]; [5385; 10386]; [3868; 10130]; [2266; 6191]; [7025; 9140]; [9738; 11112]; [4881; 5376]; [1271; 11524]; [2765; 6289]; [8169; 10696]; [1897; 11397]; [372; 9368]; [10549; 10738]; [1573; 8075]; [2543; 11545]; [389; 6339]; [6311; 10147]; [180; 6165]; [2288; 3856]; [7741; 8125]; [2277; 2943]; [1815; 10991]; [542; 4302]; [2498; 8769]; [1346; 9200]; [2368; 8696]; [1817; 11037]; [2655; 5720]; [1129; 5001]; [1774; 7957]; [2627; 10088]; [6127; 10218]; [5834; 6933]; [3305; 6768]; [9088; 10040]; [6572; 10834]; [7666; 9644]; [9113; 11036]; [2955; 2979]; [4109; 8256]; [2017; 4682]; [5542; 6532]; [1247; 5407]; [1837; 9410]; [557; 4960]; [6785; 8848]; [3514; 8046]; [2175; 8651]; [5403; 6373]; [4821; 7149]; [4666; 10244]; [6536; 10773]; [307; 8168]; [6558; 6590]; [4978; 11270]; [3168; 3622]; [2043; 4001]; [652; 10832]; [726; 1921]; [304; 7116]; [8296; 8885]; [4841; 5522]; [5178; 10577]; [6093; 7170]; [2434; 2876]; [1253; 4821]; [4896; 8612]; [402; 484]; [1807; 9544]; [8718; 10456]; [3145; 10966]; [1650; 5396]; [3461; 6476]; [1871; 10468]; [4519; 5629]; [2673; 5494]; [2560; 11444]; [10086; 10966]; [7345; 9198]; [4692; 7277]; [7147; 8459]; [2950; 4459]; [2050; 2482]; [4875; 9613]; [8966; 10154]; [3670; 7000]; [8424; 10359]; [2042; 8256]; [4067; 10608]; [4963; 8679]; [665; 11043]; [2904; 10880]; [5397; 9136]; [419; 10987]; [6140; 6211]; [173; 1132]; [3466; 5665]; [7948; 10780]; [7227; 10266]; [3055; 4633]; [1545; 7800]; [1134; 6768]; [1430; 3154]; [7443; 8578]; [9750; 9862]; [7859; 10708]; [376; 7126]; [4051; 5537]; [4228; 4675]; [2989; 3232]; [659; 6660]; [3867; 7113]; [932; 5506]; [151; 5695]; [90; 7671]; [3924; 11030]; [2484; 11583]; [6410; 7361]; [6088; 11282]; [3502; 11337]; [4539; 8859]; [1858; 4890]; [4654; 7119]; [5125; 6704]; [4371; 10214]; [1043; 8878]; [4002; 6375]; [1634; 7067]; [1406; 4207]; [3496; 11118]; [2433; 4424]; [7223; 9692]; [1738; 3633]; [1997; 11441]; [6477; 11565]; [2802; 5984]; [1613; 8068]; [1951; 8063]; [244; 4300]; [1419; 4038]; [866; 10470]; [1885; 3279]; [4597; 5780]; [2160; 8587]; [2693; 4886]; [5371; 8557]; [5827; 6356]; [3805; 9937]; [6105; 8552]; [1960; 10404]; [7846; 11145]; [2247; 10434]; [1285; 10989]; [4518; 9055]; [7387; 10042]; [9405; 11223]; [3830; 8654]; [1428; 4100]; [6438; 10832]; [3795; 9599]; [309; 507]; [5730; 9025]; [4505; 5036]; [6748; 8779]; [3565; 10076]; [7235; 8897]; [791; 10080]; [6620; 7281]; [7614; 8893]; [1139; 10763]; [2316; 11328]; [10139; 11568]; [10077; 10690]; [3183; 10913]; [3403; 8967]; [4597; 4975]; [8860; 10726]; [5866; 8512]; [1604; 5615]; [3588; 5714]; [3684; 5422]; [3988; 8839]; [4096; 10062]; [4963; 9647]; [417; 7745]; [3400; 9046]; [286; 2566]; [2345; 10164]; [4083; 9076]; [7877; 9653]; [6732; 7091]; [2954; 4795]; [2150; 9696]; [529; 11369]; [3511; 5652]; [7556; 10012]; [3731; 7870]; [6876; 10253]; [3047; 4205]; [4695; 10771]; [493; 2263]; [8017; 8128]; [7431; 11414]; [273; 7592]; [5364; 9590]; [176; 9911]; [5191; 11325]; [6671; 8693]; [4969; 6028]; [4984; 6336]; [3532; 7229]; [760; 3896]; [3; 1473]; [1873; 6920]; [6; 5154]; [4176; 10714]; [1590; 10015]; [8694; 11322]; [5907; 6203]; [683; 11031]; [3761; 5776]; [3365; 5776]; [70; 6832]; [37; 10856]; [6040; 9176]; [4763; 4997]; [1652; 7860]; [5043; 7266]; [4749; 6819]; [9120; 9629]; [4015; 10207]; [1370; 8147]; [3817; 6058]; [1327; 5067]; [5277; 6157]; [8236; 9316]; [4036; 8051]; [4898; 9544]; [3680; 6726]; [2035; 3841]; [5064; 8493]; [4501; 9319]; [6645; 6667]; [9855; 10199]; [1753; 10544]; [1854; 11350]; [1275; 4503]; [3052; 9759]; [810; 2454]; [6611; 10439]; [2024; 5530]; [1715; 8158]; [5297; 10542]; [3074; 4041]; [7404; 11014]; [8216; 10892]; [33; 6145]; [2297; 10765]; [3701; 8303]; [8372; 11405]; [10359; 11021]; [2673; 7080]; [3377; 4981]; [8953; 10404]; [8586; 8890]; [5644; 6866]; [4477; 6989]; [5191; 6332]; [3376; 11172]; [2732; 11070]; [5647; 10547]; [4059; 4786]; [5986; 10013]; [201; 6668]; [3124; 3754]; [3528; 7779]; [749; 1023]; [2818; 10063]; [4714; 9561]; [10024; 10169]; [8101; 11477]; [8815; 10820]; [2435; 3128]; [1817; 4247]; [905; 4919]; [3174; 9883]; [8062; 9270]; [1054; 8425]; [963; 2645]; [4326; 5665]; [465; 8030]; [7218; 7602]; [3959; 4151]; [1896; 5479]; [5380; 11492]; [2604; 4253]; [4624; 6261]; [3070; 5746]; [52; 3138]; [831; 9292]; [1505; 2066]; [577; 9375]; [1635; 7774]; [1506; 5674]; [1294; 7481]; [293; 3200]; [9475; 11401]; [2844; 7096]; [2467; 11310]; [4127; 5805]; [1264; 3108]; [5333; 7862]; [3779; 10757]; [1042; 4227]; [8545; 9215]; [4345; 7196]; [126; 7409]; [690; 3021]; [7131; 7956]; [6286; 9850]; [2005; 2739]; [5785; 11554]; [1595; 10977]; [3233; 4023]; [7912; 11150]; [4667; 11569]; [5794; 6355]; [1307; 1650]; [2831; 5706]; [806; 3354]; [10389; 10401]; [2266; 4207]; [3885; 5117]; [9612; 10709]; [4008; 9654]; [3695; 4993]; [3538; 11425]; [8333; 9867]; [1115; 1830]; [8828; 9846]; [6671; 8506]; [762; 7569]; [9724; 11300]; [4208; 6682]; [4276; 10758]; [1198; 3935]; [1406; 4638]; [2027; 7200]; [3085; 5599]; [5769; 7587]; [1037; 6461]; [8664; 9041]; [7599; 8717]; [9561; 10720]; [722; 4356]; [5383; 6770]; [1021; 10839]; [1052; 5988]; [723; 7210]; [1513; 11301]; [10761; 11454]; [900; 6348]; [4659; 10122]; [526; 3663]; [3255; 3916]; [390; 10972]; [8953; 11022]; [2482; 8130]; [519; 6656]; [5933; 7587]; [5131; 6145]; [5747; 8363]; [8297; 9405]; [4262; 9897]; [833; 2093]; [5091; 8998]; [9817; 10309]; [5720; 9923]; [4409; 6160]; [3757; 8449]; [3913; 8962]; [5451; 10472]; [480; 3668]; [2248; 8084]; [2368; 8940]; [7256; 7573]; [10153; 10608]; [1247; 8684]; [6515; 10544]; [2866; 3932]; [901; 1631]; [1310; 6754]; [10119; 10243]; [1989; 7042]; [7253; 10658]; [3860; 8927]; [467; 2278]; [6869; 7285]; [5630; 10006]; [6179; 6838]; [2507; 4938]; [917; 2514]; [6395; 11566]; [6708; 9811]; [4665; 6853]; [1293; 5245]; [5119; 10241]; [1726; 8510]; [1129; 4090]; [4628; 11135]; [1359; 6996]; [8136; 11126]; [6962; 10078]; [9013; 11399]; [7915; 9437]; [3620; 10564]; [1980; 8777]; [7828; 10192]; [561; 11338]; [5727; 5751]; [38; 2114]; [2641; 10364]; [6135; 6485]; [1677; 10846]; [5340; 8496]; [6902; 8872]; [3015; 5852]; [4228; 6074]; [3511; 6433]; [394; 9481]; [1160; 4850]; [4649; 4791]; [5870; 11290]; [4965; 8969]; [5839; 9725]; [4067; 7819]; [10321; 10676]; [4557; 5202]; [6449; 7964]; [1531; 9866]; [3991; 5730]; [6076; 8133]; [1038; 9933]; [1456; 1586]; [4948; 7460]; [2207; 9856]; [689; 8998]; [9178; 10819]; [8899; 11404]; [6468; 8364]; [5031; 6182]; [1822; 6258]; [717; 8013]; [1667; 2937]; [1169; 4912]; [1017; 10934]; [3159; 8209]; [325; 9660]; [168; 9676]; [636; 4826]; [1265; 8003]; [3624; 9477]; [4372; 7650]; [6460; 7318]; [2723; 8029]; [4994; 6650]; [3838; 6962]; [6386; 9089]; [4859; 10397]; [7321; 9340]; [1688; 7547]; [1099; 7152]; [970; 4298]; [6007; 9443]; [8653; 10193]; [185; 581]; [0; 801]; [4139; 10458]; [6811; 10931]; [5016; 5069]; [2889; 8856]; [704; 8501]; [7529; 10393]; [7462; 8417]; [96; 3892]; [1579; 8701]; [1171; 4180]; [3479; 9072]; [3103; 9724]; [4399; 5285]; [908; 2265]; [1976; 6270]; [4431; 10458]; [1475; 8728]; [8071; 10568]; [232; 3379]; [5077; 7600]; [7255; 10948]; [4708; 10177]; [658; 5473]; [1220; 6674]; [2276; 9164]; [1459; 6690]; [1054; 8856]; [3459; 4259]; [3361; 3724]; [6002; 8294]; [3242; 6476]; [4322; 9360]; [3802; 11014]; [6773; 7390]; [11198; 11217]; [3390; 5593]; [7712; 8541]; [4474; 10131]; [7558; 8074]; [762; 5422]; [5161; 10280]; [5095; 5496]; [164; 777]; [7414; 7571]; [4473; 9125]; [3501; 9746]; [4129; 9315]; [5177; 7780]; [7860; 8789]; [2029; 11515]; [1886; 8955]; [3001; 8642]; [9501; 10020]; [3684; 5666]; [4372; 6040]; [6508; 9162]; [1709; 6814]; [721; 8400]; [6486; 10312]; [2439; 10043]; [3179; 7601]; [7726; 8947]; [1623; 4007]; [1619; 7271]; [7498; 10251]; [1670; 9488]; [4018; 4357]; [2762; 5219]; [7581; 8973]; [1573; 6522]; [5714; 10590]; [2412; 4059]; [1254; 7708]; [36; 726]; [7332; 8619]; [1198; 10782]; [3055; 4690]; [1436; 3026]; [6774; 9789]; [4119; 11205]; [3233; 6682]; [3714; 6955]; [8440; 9764]; [3989; 8880]; [1038; 9746]; [842; 5670]; [5164; 8618]; [4696; 7052]; [6447; 10333]; [6158; 10230]; [3355; 4578]; [3215; 8705]; [1061; 4253]; [1087; 3222]; [4944; 9783]; [1799; 8154]; [562; 10167]; [5066; 8433]; [5780; 7022]; [768; 10043]; [8672; 8959]; [4966; 8983]; [733; 10988]; [4681; 4835]; [3246; 3480]; [5551; 8855]; [6017; 9594]; [7706; 9745]; [7329; 9795]; [5426; 6874]; [479; 10290]; [3127; 5451]; [2874; 5005]; [1974; 3028]; [563; 2821]; [595; 11404]; [4275; 10913]; [4982; 8331]; [2592; 5292]; [7325; 10026]; [10460; 10967]; [191; 10762]; [626; 9936]; [2744; 8315]; [7596; 8045]; [6202; 8943]; [6847; 10401]; [1625; 5476]; [5978; 7737]; [2831; 4527]; [308; 1898]; [3107; 3644]; [3563; 7859]; [5472; 6064]; [2671; 4245]; [2103; 4727]; [6863; 11284]; [41; 2493]; [7950; 8169]; [10566; 10962]; [2620; 3152]; [1154; 2484]; [2499; 5077]; [1561; 6780]; [6325; 10073]; [3023; 9958]; [4114; 5087]; [7541; 10566]; [5881; 6649]; [1559; 3701]; [3238; 5416]; [2868; 6637]; [6603; 10017]; [2933; 4780]; [1770; 3921]; [3745; 6910]; [1035; 10871]; [3989; 7270]; [162; 10717]; [7161; 7312]; [1094; 11451]; [394; 9562]; [4289; 6781]; [500; 10712]; [1649; 9229]; [3729; 4872]; [8266; 9694]; [2102; 6730]; [6646; 8559]; [176; 10773]; [4839; 7598]; [5611; 10329]; [9343; 10028]; [764; 5281]; [5736; 9277]; [9189; 9561]; [2506; 4312]; [173; 1807]; [3720; 8142]; [6731; 7327]; [5722; 8066]; [4211; 8379]; [7034; 8267]; [2358; 10456]; [97; 9517]; [2762; 8065]; [6743; 10720]; [4229; 11587]; [3567; 6772]; [9246; 9664]; [6128; 9104]; [5279; 10098]; [2325; 5031]; [6273; 10956]; [5466; 9924]; [2644; 6474]; [304; 2798]; [2221; 3927]; [2666; 8707]; [7729; 7903]; [7918; 10808]; [7608; 9828]; [4019; 10437]; [8470; 9069]; [5572; 6563]; [4796; 7096]; [1969; 3302]; [10005; 11005]; [7753; 9428]; [7125; 9859]; [3897; 5721]; [3398; 4842]; [602; 2613]; [932; 8409]; [2365; 6685]; [2554; 9590]; [221; 2921]; [6296; 9977]; [2282; 11346]; [2733; 5391]; [155; 10969]; [7089; 7169]; [7969; 11123]; [2580; 7778]; [4039; 11439]; [4600; 9786]; [4254; 9149]; [5813; 5844]; [2053; 9015]; [618; 3496]; [2736; 6039]; [86; 10051]; [3052; 10971]; [3004; 6793]; [2735; 8820]; [1448; 9615]; [2348; 5176]; [2377; 4416]; [487; 1700]; [9702; 10041]; [7362; 8617]; [3600; 4545]; [3625; 5541]; [6711; 10727]; [4655; 6810]; [6055; 9110]; [7385; 10671]; [1091; 9169]; [437; 9877]; [153; 4456]; [2176; 5981]; [6095; 11168]; [4947; 9843]; [2715; 9642]; [1425; 5258]; [8962; 11328]; [459; 11329]; [7744; 8510]; [1304; 7183]; [3146; 9828]; [778; 10520]; [8930; 9538]; [6555; 9813]; [917; 2758]; [3721; 11264]; [4760; 10367]; [2286; 3493]; [2007; 4078]; [8796; 10477]; [2815; 8718]; [893; 7999]; [2627; 9421]; [2816; 3658]; [7855; 11128]; [4467; 9741]; [3084; 4412]; [4097; 4546]; [6165; 9254]; [2443; 3827]; [6696; 8890]; [9099; 10636]; [2031; 2570]; [2815; 9068]; [1874; 4838]; [867; 8656]; [6947; 9640]; [2797; 7738]; [85; 8620]; [9558; 11335]; [307; 1085]; [4413; 8350]; [7219; 11267]; [4380; 5958]; [9216; 11571]; [1295; 4380]; [4939; 7642]; [501; 6963]; [6936; 7946]; [4283; 6025]; [205; 6443]; [2505; 10720]; [5440; 9321]; [643; 9298]; [6300; 7735]; [6181; 6323]; [2752; 4181]; [665; 5115]; [6771; 7320]; [257; 2846]; [205; 3410]; [2197; 9786]; [5179; 8233]; [1997; 5968]; [417; 10648]; [285; 1861]; [7723; 8706]; [2499; 7118]; [2463; 7461]; [2094; 9284]; [4489; 6251]; [2555; 10433]; [201; 9303]; [325; 4643]; [4518; 4737]; [5225; 7073]; [1878; 7939]; [5321; 7535]; [6847; 8254]; [3207; 11527]; [6877; 9594]; [2586; 6713]; [6440; 9593]; [11365; 11491]; [3012; 8807]; [2838; 6934]; [1368; 9530]; [4131; 8613]; [4757; 7355]; [5844; 9158]; [1057; 10577]; [6866; 8654]; [2826; 8802]; [4746; 7196]; [1580; 3936]; [1105; 6861]; [7871; 11556]; [2469; 7252]; [8924; 10365]; [4903; 10563]; [8726; 9626]; [3879; 4578]; [2716; 7883]; [381; 4551]; [4897; 9994]; [4840; 9460]; [1312; 1677]; [193; 10916]; [327; 1282]; [2076; 10152]; [3680; 10784]; [6510; 7679]; [5042; 10348]; [3715; 6052]; [3835; 4656]; [2052; 8253]; [4176; 10584]; [9923; 11193]; [1251; 4003]; [9181; 10556]; [2082; 3931]; [1521; 5584]; [2486; 8710]; [1925; 6199]; [3730; 4081]; [1839; 4173]; [2243; 11204]; [52; 11034]; [4169; 10544]; [7813; 10396]; [1022; 7334]; [1177; 4993]; [6352; 10072]; [8422; 11443]; [2285; 7673]; [1459; 8089]; [994; 6040]; [148; 4326]; [112; 8052]; [2634; 11210]; [10165; 11049]; [504; 8283]; [108; 1867]; [5789; 10524]; [842; 7524]; [40; 6836]; [2924; 3994]; [7469; 8677]; [2676; 10281]; [1554; 9423]; [8178; 11059]; [8501; 9992]; [5915; 9293]; [5344; 6094]; [1058; 3557]; [63; 11142]; [8993; 10454]; [188; 9336]; [1985; 6576]; [1037; 7591]; [2105; 7432]; [2284; 2479]; [8512; 10531]; [7175; 7799]; [7197; 10032]; [5896; 6957]; [5798; 10586]; [3283; 7818]; [1196; 8752]; [948; 10902]; [4520; 6182]; [1134; 1458]; [717; 8525]; [7594; 9853]; [7623; 8339]; [1912; 7387]; [343; 5840]; [1028; 3691]; [1817; 10533]; [5304; 9647]; [6565; 9159]; [720; 9173]; [813; 5200]; [9806; 11250]; [6498; 10566]; [1708; 6052]; [2448; 4364]; [5787; 9242]; [10099; 11502]; [426; 1529]; [636; 2305]; [3266; 9692]; [3843; 5566]; [4911; 5407]; [6026; 11510]; [2414; 10415]; [5929; 11577]; [1547; 2162]; [2190; 2793]; [1384; 10277]; [3091; 7624]; [9262; 10224]; [3345; 10924]; [8350; 10896]; [2496; 9666]; [3802; 5915]; [2491; 2906]; [6545; 7729]; [3484; 10709]; [4702; 7111]; [9005; 10009]; [877; 11385]; [4764; 7989]; [2486; 5945]; [2864; 11001]; [3404; 8471]; [940; 9455]; [8810; 9541]; [250; 9008]; [470; 10472]; [3417; 6454]; [765; 971]; [4658; 7943]; [4107; 10284]; [2961; 4868]; [2801; 7619]; [9805; 10974]; [7615; 10275]; [5531; 10726]; [7582; 7883]; [9364; 10477]; [7710; 10512]; [43; 10785]; [1199; 6309]; [5347; 11548]; [1163; 4400]; [3098; 3826]; [417; 6273]; [565; 6925]; [4814; 8052]; [2774; 4668]; [7579; 10968]; [2909; 10720]; [4619; 7584]; [231; 4016]; [1093; 5509]; [6977; 9587]; [8102; 9962]; [1994; 4678]; [1536; 3046]; [4795; 6497]; [5113; 5840]; [7248; 7606]; [7161; 8361]; [6101; 9135]; [1175; 4760]; [1933; 10037]; [3149; 9776]; [1372; 5274]; [2415; 3395]; [9300; 11000]; [3352; 10135]; [4389; 8411]; [2885; 5007]; [5906; 9044]; [1862; 8292]; [2721; 3852]; [2098; 11043]; [4260; 9694]; [2013; 8461]; [5210; 11034]; [1506; 10350]; [4149; 5167]; [907; 2851]; [3463; 4839]; [875; 9729]; [5448; 10044]; [3674; 11475]; [5539; 10162]; [962; 5941]; [163; 11186]; [1691; 6316]; [3712; 4762]; [3519; 11537]; [4269; 9783]; [1029; 4130]; [6378; 11082]; [2792; 11208]; [9428; 9441]; [4910; 9587]; [1830; 6101]; [1016; 9560]; [553; 7584]; [403; 4607]; [3259; 6887]; [1172; 3657]; [10330; 11464]; [485; 2727]; [2720; 5855]; [1147; 5290]; [514; 1213]; [7148; 9953]; [6929; 8337]; [6486; 10019]; [1445; 1722]; [161; 6952]; [101; 485]; [4495; 4999]; [3559; 7529]; [386; 3098]; [8603; 8927]; [4496; 7853]; [1841; 5105]; [571; 8513]; [3393; 4793]; [1378; 3883]; [4950; 5579]; [1247; 4366]; [5761; 7484]; [3206; 9104]; [3369; 10034]; [1274; 2779]; [5668; 11457]; [1117; 2795]; [7811; 11586]; [1806; 9433]; [1930; 5527]; [2448; 7210]; [2494; 7555]; [3182; 7175]; [2206; 3890]; [2610; 10921]; [9420; 11027]; [7431; 8332]; [2636; 9890]; [1562; 6040]; [8764; 9410]; [8891; 11437]; [1577; 7102]; [2862; 8890]; [806; 809]; [1852; 9027]; [7216; 10595]; [8895; 11556]; [4573; 9362]; [5220; 6729]; [360; 722]; [8143; 10231]; [3284; 7078]; [42; 1352]; [5205; 9080]; [831; 5942]; [5919; 7669]; [951; 10208]; [581; 5013]; [5920; 10523]; [471; 7127]; [4094; 9512]; [1256; 1395]; [5987; 9466]; [384; 11265]; [1346; 7704]; [4132; 5081]; [3335; 3983]; [3049; 9813]; [4363; 10841]; [2460; 10172]; [5199; 11113]; [4263; 7227]; [9920; 11326]; [4538; 9152]; [8266; 11361]; [492; 5321]; [3420; 9167]; [2011; 2617]; [264; 5871]; [1987; 7858]; [2080; 3885]; [7604; 8394]; [6513; 7603]; [5840; 9015]; [1759; 2746]; [8660; 10884]; [8751; 11002]; [1817; 1970]; [64; 2026]; [3021; 4358]; [6171; 7085]; [70; 5978]; [5238; 6880]; [9159; 9484]; [2316; 6986]; [809; 6317]; [3584; 6915]; [1808; 7519]; [7128; 8815]; [1682; 2684]; [3082; 4984]; [10494; 10608]; [3209; 11175]; [1959; 11071]; [4884; 8984]; [1861; 1868]; [269; 9197]; [7146; 10525]; [3541; 6437]; [117; 4639]; [581; 9469]; [304; 4465]; [7716; 10089]; [1200; 3290]; [4195; 8358]; [7058; 7645]; [10408; 10460]; [2421; 3373]; [2876; 3953]; [4314; 8989]; [386; 10132]; [355; 10819]; [6210; 9241]; [2476; 6463]; [477; 3080]; [2223; 6771]; [9005; 11245]; [11297; 11497]; [6424; 10890]; [4055; 4564]; [841; 4296]; [2158; 11257]; [6700; 10007]; [5234; 9339]; [2744; 10600]; [468; 5219]; [8307; 9402]; [4523; 10267]; [1057; 8243]; [4608; 9062]; [317; 2017]; [5630; 6306]; [8845; 9428]; [55; 3737]; [2517; 2680]; [837; 7156]; [1962; 7531]; [5041; 5130]; [6500; 8791]; [5714; 7882]; [1822; 4518]; [5954; 7342]; [830; 2952]; [3381; 11012]; [5673; 11264]; [4457; 5109]; [3555; 6469]; [5029; 11162]; [3811; 4180]; [3912; 11402]; [3305; 5540]; [6794; 7733]; [7267; 8145]; [5426; 8354]; [3430; 4488]; [1852; 3579]; [6738; 8555]; [594; 10030]; [10274; 10594]; [8011; 8828]; [5549; 6475]; [3057; 5411]; [9557; 10953]; [6981; 10942]; [3702; 6115]; [2893; 3502]; [8102; 8165]; [714; 7099]; [2825; 9225]; [4131; 5474]; [3270; 9841]; [5541; 8462]; [4328; 5988]; [6532; 10557]; [10446; 11236]; [3393; 4956]; [6186; 6887]; [4156; 4191]; [960; 10888]; [4069; 4946]; [3759; 6218]; [9858; 11416]; [2819; 4842]; [291; 1869]; [4716; 5696]; [356; 6428]; [607; 10211]; [3222; 9396]; [5713; 6825]; [4963; 5573]; [5304; 11501]; [3115; 7994]; [5948; 6318]; [24; 5847]; [86; 309]; [3079; 9468]; [1923; 3364]; [6444; 9905]; [6783; 7119]; [5346; 11353]; [9709; 10138]; [7061; 8561]; [1956; 9139]; [4946; 7447]; [1732; 9431]; [2329; 7435]; [1515; 5232]; [4942; 9957]; [4880; 9079]; [3383; 9098]; [3347; 7189]; [5121; 5758]; [1108; 10735]; [421; 3389]; [9564; 10164]; [5214; 11584]; [8385; 8772]; [6802; 7519]; [322; 9045]; [2908; 7492]; [6457; 7484]; [323; 9647]; [3089; 9001]; [4639; 8616]; [8818; 9004]; [10115; 10425]; [9812; 10616]; [8757; 10980]; [65; 1660]; [9521; 9686]; [1157; 6059]; [472; 5956]; [4637; 8920]; [8830; 9014]; [1063; 10561]; [2393; 7204]; [3723; 8765]; [1046; 2286]; [340; 7722]; [206; 4524]; [1771; 5171]; [1148; 5946]; [592; 7943]; [2476; 5926]; [8742; 10298]; [1977; 9211]; [3317; 10706]; [2295; 7800]; [1677; 8919]; [741; 11449]; [7425; 8972]; [78; 2245]; [6273; 9403]; [726; 2466]; [6212; 9881]; [4401; 11430]; [2197; 7615]; [2596; 11296]; [511; 2477]; [628; 3062]; [4055; 4377]; [2563; 8904]; [10180; 10796]; [862; 1953]; [10517; 10566]; [5972; 11518]; [2520; 6174]; [9586; 10407]; [954; 1892]; [4871; 7006]; [3418; 10707]; [3946; 6662]; [7929; 10144]; [3631; 5338]; [5900; 10302]; [5311; 9907]; [7754; 10328]; [4865; 5656]; [2434; 2616]; [1597; 8535]; [5384; 7941]; [8914; 10135]; [1091; 4233]; [6794; 10929]; [4461; 8424]; [7565; 10806]; [6660; 8485]; [6140; 10139]; [2362; 3679]; [2401; 10023]; [3325; 10142]; [1563; 6672]; [5472; 7007]; [7877; 9580]; [5640; 9035]; [6318; 7967]; [1395; 10279]; [6383; 6864]; [400; 9196]; [6496; 10713]; [8118; 11140]; [3514; 3598]; [704; 3191]; [4592; 9819]; [3286; 6400]; [8339; 10550]; [110; 2452]; [6066; 8096]; [1288; 6625]; [1482; 9874]; [2910; 7806]; [2412; 6775]; [3349; 7853]; [1666; 2232]; [8316; 11505]; [972; 10711]; [2715; 3551]; [2; 1579]; [9540; 9607]; [8876; 9627]; [7475; 10108]; [246; 1158]; [4671; 4985]; [5457; 5894]; [7343; 11120]; [10054; 10767]; [2055; 8581]; [5534; 7080]; [4573; 7833]; [4069; 10020]; [6599; 10787]; [2237; 10692]; [3235; 3378]; [1948; 4173]; [1891; 3639]; [6464; 10370]; [3324; 8331]; [6376; 8271]; [8987; 9966]; [919; 9895]; [10296; 10650]; [676; 10137]; [1287; 5595]; [3136; 6001]; [1567; 8618]; [393; 7570]; [8269; 10854]; [1533; 1837]; [440; 10799]; [903; 5605]; [5178; 8707]; [1061; 2781]; [2998; 3034]; [2531; 10738]; [4895; 10304]; [5323; 8307]; [2642; 4338]; [715; 3275]; [61; 4737]; [4238; 10714]; [162; 11205]; [9424; 9566]; [2017; 5040]; [1965; 9014]; [158; 8053]; [8556; 9756]; [2324; 9132]; [5935; 10756]; [2979; 11278]; [5527; 8487]; [5785; 7025]; [3039; 4913]; [7992; 11111]; [76; 8428]; [2734; 4277]; [5530; 6506]; [234; 5604]; [1485; 8562]; [261; 1011]; [2946; 5853]; [10910; 11236]; [5373; 11403]; [79; 4912]; [6171; 8939]; [6272; 9745]; [6277; 10089]; [5050; 9437]; [6920; 10720]; [6476; 6542]; [6099; 10756]; [1381; 1392]; [1961; 3953]; [5706; 8021]; [3428; 7475]; [5570; 11166]; [3713; 10842]; [10080; 10378]; [1052; 1109]; [10733; 10943]; [1679; 7623]; [6428; 9884]; [4410; 7922]; [7144; 8519]; [588; 9461]; [2639; 6618]; [6390; 10531]; [8076; 9253]; [2916; 2954]; [1505; 8409]; [5252; 9140]; [8980; 11349]; [2067; 3948]; [3304; 8728]; [950; 1182]; [2321; 4996]; [4652; 10838]; [4394; 10048]; [725; 8419]; [1043; 7008]; [7488; 8679]; [9281; 11462]; [2492; 5817]; [593; 5267]; [684; 5385]; [10090; 11042]; [5638; 8021]; [5910; 10429]; [3546; 4447]; [1032; 6068]; [9361; 9886]; [22; 3199]; [4261; 10808]; [9902; 10964]; [2974; 5941]; [9422; 11293]; [81; 10195]; [3040; 9190]; [9516; 10928]; [4165; 7313]; [3351; 11526]; [5555; 8925]; [1885; 4442]; [8175; 8454]; [1112; 7902]; [638; 1603]; [3010; 8200]; [3185; 6511]; [5012; 8124]; [1286; 5961]; [5923; 7981]; [5611; 6174]; [1153; 6371]; [2780; 5644]; [1304; 4288]; [780; 4288]; [1396; 6506]; [6621; 10948]; [8780; 10082]; [2147; 10612]; [4506; 5670]; [7148; 7432]; [7337; 10337]; [8495; 10852]; [8245; 9923]; [2691; 8231]; [2664; 9791]; [5491; 6415]; [1611; 4566]; [8085; 11139]; [4723; 10973]; [3223; 5059]; [1409; 7091]; [2283; 3683]; [8351; 9568]; [3120; 6809]; [2060; 5331]; [7641; 11098]; [10034; 11402]; [1665; 8185]; [2152; 8303]; [4984; 5271]; [2623; 9386]; [4736; 8175]; [9870; 10247]; [7472; 9599]; [976; 10592]; [3553; 7041]; [5108; 11164]; [2310; 8108]; [2613; 5665]; [177; 2281]; [1209; 5875]; [2494; 8417]; [1455; 2898]; [1487; 8071]; [5351; 7135]; [2240; 4336]; [1431; 8139]; [5130; 5446]; [1706; 3648]; [3656; 4136]; [323; 1702]; [1947; 3710]; [1979; 8129]; [4220; 9547]; [3284; 4907]; [3535; 8690]; [6580; 7459]; [1537; 4751]; [8035; 9466]; [2689; 6949]; [3455; 6482]; [9693; 10304]; [10682; 11572]; [6513; 9620]; [1817; 10403]; [341; 2631]; [1800; 2128]; [1118; 5706]; [1266; 5604]; [7222; 11248]; [6408; 8291]; [3677; 11375]; [4546; 7623]; [1267; 2796]; [5250; 6278]; [2540; 9485]; [2149; 3413]; [2854; 11338]; [3542; 8706]; [617; 4377]; [889; 2621]; [2105; 9530]; [3571; 3782]; [4037; 8685]; [59; 6301]; [5002; 5395]; [298; 6317]; [5158; 5908]; [7700; 9718]; [575; 1872]; [4499; 7403]; [6305; 11145]; [3996; 9034]; [4175; 11251]; [8662; 9540]; [3281; 10220]; [1507; 5235]; [1586; 3838]; [7260; 9796]; [4051; 5708]; [40; 11512]; [566; 10804]; [2369; 7859]; [4821; 5360]; [8619; 9062]; [457; 2940]; [2203; 5877]; [1668; 2335]; [3753; 4738]; [3347; 4050]; [2239; 4753]; [5373; 6223]; [9041; 10633]; [1999; 4542]; [393; 8001]; [515; 6678]; [451; 11389]; [4374; 8404]; [2030; 3074]; [4681; 8332]; [686; 8253]; [2031; 3676]; [4295; 8296]; [4386; 8414]; [664; 2987]; [6512; 10818]; [5612; 8841]; [3680; 7434]; [9177; 10120]; [6594; 8938]; [4; 4634]; [1277; 4907]; [5788; 10760]; [2328; 7053]; [4353; 9405]; [6851; 7251]; [2584; 4764]; [270; 2309]; [4098; 8132]; [120; 5748]; [715; 7089]; [245; 10358]; [1673; 8290]; [4221; 6253]; [2982; 4810]; [6122; 6849]; [3446; 7388]; [2632; 10847]; [2749; 5770]; [3884; 6833]; [3010; 3825]; [6464; 6963]; [1077; 4445]; [228; 2433]; [1188; 5215]; [482; 9897]; [4204; 4744]; [324; 2895]; [7173; 8591]; [7603; 8175]; [8657; 9838]; [4961; 10550]; [8834; 8976]; [4; 446]; [597; 7376]; [954; 5169]; [305; 559]; [8188; 11430]; [8556; 9382]; [3162; 9857]; [63; 4409]; [1892; 2685]; [638; 9255]; [6149; 7867]; [8635; 11368]; [2195; 3625]; [1018; 3060]; [5185; 8349]; [3156; 8507]; [1095; 4246]; [1943; 6033]; [2779; 6305]; [7228; 11280]; [762; 8732]; [7926; 9336]; [2840; 9964]; [1728; 8296]; [9899; 10774]; [2748; 3959]; [6829; 7976]; [8969; 10840]; [2900; 4730]; [4271; 8544]; [129; 10667]; [4198; 6753]; [1304; 2491]; [6591; 7811]; [55; 9405]; [294; 5257]; [2878; 9293]; [545; 2624]; [1141; 7573]; [6151; 10141]; [4525; 5054]; [2257; 10114]; [1942; 11042]; [201; 2033]; [4631; 6204]; [2635; 8754]; [1694; 10940]; [7801; 10337]; [353; 2804]; [8045; 10697]; [2468; 7301]; [5973; 7775]; [6547; 10491]; [3966; 10136]; [4520; 11476]; [6977; 10075]; [538; 5186]; [161; 9400]; [7191; 7560]; [1310; 1501]; [2929; 3165]; [1803; 11233]; [3264; 5141]; [5750; 8642]; [1454; 4663]; [5127; 9417]; [9418; 10046]; [8179; 8603]; [7403; 9136]; [3609; 6307]; [5780; 9982]; [1458; 7788]; [5682; 7195]; [4448; 6096]; [3018; 11501]; [2884; 9057]; [6466; 11441]; [2165; 9370]; [487; 4847]; [3172; 8935]; [493; 8045]; [10388; 10483]; [4414; 10649]; [5119; 11404]; [5238; 6400]; [3371; 5388]; [86; 7132]; [6770; 11071]; [3250; 7313]; [2668; 10341]; [9476; 10374]; [9295; 11494]; [1938; 6331]; [1625; 1670]; [2555; 5741]; [500; 11094]; [4696; 9207]; [4742; 9552]; [2863; 7025]; [5139; 6744]; [306; 4812]; [3045; 6507]; [1310; 7112]; [2010; 8277]; [8059; 9194]; [9580; 10323]; [4886; 5517]; [8342; 9482]; [1735; 8981]; [7337; 9963]; [3626; 8889]; [10174; 11439]; [4811; 9315]; [2819; 2939]; [9086; 10165]; [6901; 10564]; [3570; 4793]; [9141; 9872]; [5564; 5580]; [1538; 5434]; [710; 5777]; [6582; 7586]; [3464; 7026]; [6335; 11092]; [1284; 1353]; [9048; 10812]; [4342; 10907]; [734; 886]; [2062; 8036]; [3865; 5091]; [948; 11203]; [4391; 10799]; [593; 6316]; [880; 9756]; [3497; 9768]; [8125; 9790]; [4331; 9967]; [8161; 10201]; [600; 10870]; [8401; 8907]; [8060; 8614]; [154; 203]; [2461; 5651]; [995; 4983]; [4485; 10784]; [2892; 8089]; [3941; 9408]; [5247; 5657]; [7996; 8040]; [357; 3945]; [1914; 3977]; [7607; 10739]; [9112; 10581]; [7519; 8640]; [1392; 5558]; [3883; 8649]; [3164; 3300]; [5655; 7145]; [1202; 11096]; [292; 2015]; [6527; 7074]; [173; 4767]; [737; 6795]; [1261; 5260]; [4740; 6765]; [316; 9956]; [2346; 6236]; [233; 1785]; [1506; 2812]; [9102; 10243]; [3622; 10944]; [821; 2709]; [45; 2488]; [9248; 9314]; [3307; 5456]; [1307; 11270]; [10622; 11147]; [27; 404]; [3273; 10009]; [1210; 11337]; [3111; 11179]; [5914; 8163]; [2588; 3490]; [4707; 11139]; [3771; 7253]; [407; 10424]; [8590; 11007]; [7714; 11336]; [4321; 4687]; [9141; 11295]; [180; 10418]; [7212; 9405]; [9018; 10141]; [2659; 10496]; [1645; 4445]; [4685; 9286]; [4377; 4969]; [908; 3428]; [1532; 6261]; [1385; 6965]; [2094; 5210]; [4648; 6371]; [4579; 8486]; [4424; 11581]; [2127; 4569]; [2999; 6750]; [5707; 6126]; [191; 1508]; [5137; 6535]; [1098; 10291]; [2640; 9291]; [804; 9090]; [3587; 10303]; [2080; 9634]; [4043; 11108]; [3759; 11349]; [5781; 7768]; [3506; 10903]; [801; 8792]; [1367; 5231]; [1919; 5744]; [4324; 8317]; [2292; 11210]; [1048; 2253]; [304; 11369]; [1297; 10127]; [1171; 4538]; [3447; 4257]; [945; 8921]; [3854; 8553]; [2316; 9702]; [9126; 9808]; [3957; 8681]; [3518; 11263]; [686; 1463]; [756; 2202]; [2901; 9574]; [4807; 9760]; [685; 3490]; [122; 8480]; [4014; 9565]; [3982; 10027]; [2480; 9702]; [54; 7006]; [4841; 5587]; [3104; 9529]; [2013; 10990]; [9487; 10322]; [728; 6196]; [1366; 7207]; [7493; 8037]; [1486; 11473]; [6338; 11203]; [2317; 4985]; [4842; 5408]; [3591; 8866]; [5365; 7435]; [1729; 1782]; [3618; 4273]; [5899; 11506]; [6892; 9510]; [3583; 8224]; [7980; 10003]; [5606; 7497]; [33; 8007]; [2001; 7573]; [3117; 3698]; [1002; 11252]; [5007; 5633]; [3451; 6203]; [3413; 9883]; [11363; 11396]; [3582; 8349]; [7587; 9146]; [2981; 7193]; [1393; 4842]; [5840; 6738]; [19; 730]; [146; 2757]; [8461; 9121]; [982; 3029]; [8382; 10548]; [2687; 2959]; [9567; 10974]; [6802; 8812]; [826; 5899]; [6822; 9464]; [7511; 10440]; [7108; 9269]; [8462; 8972]; [1039; 10329]; [3621; 7122]; [784; 2640]; [1214; 8640]; [8440; 10122]; [1771; 9497]; [6721; 9762]; [6531; 8884]; [4855; 5188]; [500; 6264]; [6195; 7437]; [3915; 10228]; [4156; 6907]; [4870; 5496]; [3727; 10931]; [6996; 8654]; [2051; 2317]; [7522; 7946]; [6584; 9649]; [2007; 5428]; [1761; 1989]; [1943; 7887]; [3813; 9170]; [1573; 2692]; [8489; 10364]; [2003; 2276]; [886; 5926]; [5123; 6292]; [101; 2209]; [3003; 7086]; [10024; 11576]; [4554; 7303]; [7293; 8244]; [5832; 7920]; [5233; 9089]; [2562; 10726]; [561; 6516]; [5199; 7226]; [7819; 10919]; [30; 10263]; [157; 11536]; [2399; 6009]; [1929; 9278]; [6165; 10954]; [3204; 4716]; [8398; 9845]; [5636; 10610]; [5820; 6755]; [1049; 6455]; [61; 8795]; [10295; 10699]; [518; 6038]; [3194; 5876]; [2158; 4792]; [647; 5105]; [8544; 9266]; [860; 6152]; [7018; 8547]; [137; 9729]; [8535; 11432]; [4277; 4527]; [5419; 8289]; [1979; 5958]; [2524; 3802]; [5925; 10312]; [5261; 10332]; [7009; 7680]; [3365; 4418]; [5116; 7699]; [2786; 11127]; [2331; 3407]; [7043; 7264]; [6286; 11257]; [5766; 8747]; [3997; 11276]; [2588; 4726]; [7247; 10477]; [1798; 6327]; [400; 10489]; [1465; 3643]; [7008; 7428]; [6380; 7859]; [4666; 7089]; [3668; 8741]; [4192; 7206]; [4942; 5452]; [4971; 11108]; [3197; 6123]; [3320; 10660]; [1298; 5573]; [849; 7467]; [5267; 10877]; [9009; 11264]; [1825; 7719]; [1154; 5070]; [7454; 10524]; [1527; 10536]; [8224; 10176]; [3021; 9465]; [1772; 7334]; [2086; 9187]; [2370; 2530]; [4054; 4589]; [2053; 6795]; [3080; 3629]; [1055; 1277]; [3293; 11092]; [4738; 10883]; [1956; 6862]; [649; 3972]; [1242; 10902]; [392; 1872]; [4598; 7089]; [5035; 7844]; [608; 938]; [4121; 7689]; [888; 3207]; [6684; 10848]; [478; 5029]; [2940; 3218]; [489; 2155]; [3677; 6894]; [4680; 6340]; [7388; 7968]; [113; 9977]; [3551; 8475]; [3287; 10846]; [4922; 5873]; [2491; 2833]; [902; 3263]; [3677; 3861]; [2089; 2264]; [712; 887]; [2026; 3413]; [5515; 9770]; [971; 8695]; [8469; 9175]; [1741; 4183]; [6161; 7666]; [4108; 9682]; [3258; 11232]; [9863; 10906]; [4221; 7115]; [3608; 8578]; [614; 6364]; [3164; 5154]; [7157; 9324]; [7145; 7809]; [4531; 11478]; [2007; 5241]; [2793; 6150]; [2817; 4292]; [2378; 7628]; [2312; 9260]; [579; 10692]; [9189; 11342]; [1261; 4081]; [8172; 11409]; [1911; 5883]; [10159; 11025]; [5701; 8970]; [2215; 6294]; [6038; 7609]; [1282; 8341]; [5814; 6403]; [5757; 5869]; [526; 9526]; [8179; 11075]; [3264; 10996]; [186; 3419]; [4855; 10612]; [2570; 6643]; [1417; 10636]; [2547; 11355]; [178; 2777]; [1552; 3856]; [6896; 9710]; [2350; 7808]; [543; 6847]; [5488; 6768]; [1914; 8409]; [1664; 1818]; [6309; 10115]; [3783; 9467]; [1347; 6083]; [5798; 11131]; [7950; 8340]; [7728; 10213]; [6427; 7138]; [1159; 6032]; [2033; 2624]; [4488; 4560]; [1777; 1880]; [5472; 8113]; [4398; 5017]; [7135; 9295]; [6371; 6455]; [7460; 11337]; [467; 5108]; [10327; 10743]; [7304; 10043]; [11201; 11499]; [8176; 9972]; [9296; 10003]; [7241; 8940]; [7889; 9915]; [8773; 11359]; [7307; 10691]; [10375; 10410]; [576; 2018]; [1138; 7383]; [9166; 11061]; [355; 6745]; [3832; 5171]; [2006; 10576]; [1755; 6793]; [5115; 6886]; [6142; 10136]; [7572; 8895]; [3334; 11310]; [7501; 10183]; [4557; 5804]; [2220; 8061]; [6294; 10907]; [7510; 11400]; [1968; 11223]; [3084; 7348]; [3049; 4129]; [1108; 4888]; [2652; 11074]; [4200; 6856]; [9795; 10077]; [6989; 7914]; [2264; 3795]; [2286; 5274]; [1945; 11397]; [2516; 8180]; [458; 9852]; [7710; 11057]; [3903; 9494]; [2499; 9704]; [193; 11274]; [631; 10719]; [731; 2255]; [5586; 11328]; [4768; 5219]; [9432; 11314]; [10015; 11140]; [1152; 6634]; [6837; 7119]; [8029; 8716]; [596; 9385]; [31; 7132]; [3011; 7004]; [1178; 11238]; [1706; 4941]; [1701; 4597]; [188; 4083]; [4510; 7031]; [2208; 6091]; [43; 7142]; [5466; 5907]; [6087; 8469]; [9357; 9800]; [4558; 6698]; [5404; 8412]; [4719; 7555]; [2847; 6199]; [1627; 8970]; [1697; 7457]; [3402; 3977]; [1540; 3309]; [449; 8934]; [594; 5151]; [1221; 10911]; [2557; 10008]; [5105; 7217]; [745; 7949]; [8152; 9065]; [7443; 7814]; [3601; 3813]; [6875; 9050]; [992; 2164]; [1745; 7097]; [626; 9920]; [10762; 11289]; [3570; 4850]; [3250; 9598]; [5870; 9127]; [7554; 11186]; [1236; 11542]; [3323; 8356]; [6637; 11514]; [3655; 10815]; [3846; 3967]; [7951; 8378]; [6368; 7125]; [7760; 8810]; [790; 4285]; [8668; 11402]; [2035; 3264]; [2310; 7441]; [1133; 11040]; [3719; 5323]; [7011; 10385]; [2458; 11476]; [8125; 9847]; [2831; 3356]; [5265; 10831]; [6013; 9004]; [3267; 3886]; [3518; 7669]; [6632; 10739]; [2709; 5810]; [646; 7138]; [9887; 10284]; [80; 2031]; [9983; 10746]; [2426; 8905]; [6710; 9117]; [4289; 6765]; [980; 9643]; [3356; 6560]; [2198; 10209]; [641; 3761]; [1640; 11379]; [4976; 11078]; [5494; 6345]; [8607; 9190]; [1074; 9655]; [9195; 9360]; [1979; 11195]; [5608; 10015]; [3029; 4071]; [1193; 4624]; [2067; 7632]; [594; 9957]; [1344; 4039]; [5167; 9518]; [6852; 8769]; [8815; 10243]; [23; 10141]; [1339; 7078]; [2829; 5888]; [1118; 5389]; [3144; 10595]; [2702; 10250]; [2353; 2926]; [1490; 4214]; [5374; 6936]; [448; 8977]; [2605; 7284]; [7297; 9011]; [304; 9198]; [4163; 10924]; [4650; 10288]; [5334; 10920]; [131; 3793]; [8790; 10721]; [4247; 6084]; [2523; 11042]; [6912; 11048]; [1010; 10528]; [6977; 9945]; [2584; 8285]; [2708; 3625]; [8346; 10680]; [1744; 10523]; [7594; 8601]; [2274; 7305]; [7807; 9648]; [651; 2489]; [1399; 7078]; [4986; 9806]; [5729; 7635]; [5195; 6947]; [8803; 11306]; [840; 8777]; [6248; 9139]; [5615; 9226]; [1072; 11005]; [7171; 9787]; [1388; 6515]; [5467; 5541]; [7201; 11127]; [3302; 6592]; [1440; 5924]; [688; 10261]; [11047; 11113]; [539; 10892]; [412; 2449]; [5852; 8765]; [4979; 8611]; [436; 10390]; [6074; 10275]; [2184; 3574]; [1895; 3471]; [2275; 2938]; [10363; 10831]; [6810; 6933]; [3360; 4668]; [1615; 11001]; [6498; 11542]; [648; 5550]; [4543; 8431]; [4911; 6383]; [1477; 4651]; [4544; 11285]; [3071; 7948]; [772; 6525]; [7792; 10413]; [6763; 9746]; [1572; 4888]; [890; 4302]; [1941; 5694]; [5451; 6512]; [8850; 9943]; [4120; 5480]; [3337; 11258]; [5522; 8607]; [4839; 5167]; [1847; 3780]; [6356; 8052]; [10378; 11462]; [1772; 7578]; [6914; 10265]; [2272; 7901]; [1282; 7162]; [2531; 10047]; [9052; 10050]; [1836; 2086]; [2328; 8964]; [2919; 8651]; [501; 3564]; [6308; 11394]; [6031; 6390]; [6287; 10517]; [3906; 6840]; [7770; 8156]; [5712; 10582]; [2355; 10006]; [2325; 5633]; [5272; 7277]; [2474; 8385]; [645; 3693]; [3759; 6763]; [6641; 8012]; [3367; 3529]; [165; 612]; [10725; 11546]; [1379; 3688]; [8562; 9260]; [1227; 6300]; [317; 3635]; [1011; 11371]; [1994; 2271]; [3337; 10453]; [6298; 10275]; [4512; 7939]; [7533; 7812]; [4207; 7303]; [6920; 10029]; [41; 11284]; [1996; 8733]; [3833; 4618]; [3741; 11445]; [1150; 3986]; [4102; 6728]; [6281; 8766]; [4904; 10799]; [4226; 7703]; [2168; 9375]; [7894; 9861]; [3859; 6189]; [3477; 10059]; [3873; 10059]; [2355; 2785]; [2201; 8734]; [7108; 8171]; [4124; 4393]; [2374; 10382]; [1541; 10381]; [9471; 10518]; [6021; 7499]; [2845; 3551]; [2525; 4135]; [1783; 9914]; [446; 4930]; [2841; 6061]; [8699; 11170]; [1717; 11546]; [260; 6460]; [2870; 5301]; [3768; 6451]; [5705; 8956]; [1534; 3925]; [620; 10186]; [7435; 10636]; [8257; 11202]; [1662; 8806]; [1378; 2631]; [32; 6229]; [3669; 9074]; [2153; 9043]; [2855; 6117]; [3192; 3258]; [3350; 3844]; [4444; 9070]; [5445; 7689]; [7460; 9353]; [6494; 9008]; [5152; 10096]; [4911; 7001]; [9386; 10945]; [8696; 9744]; [6779; 9369]; [2918; 7570]; [3441; 9597]; [4664; 10507]; [5779; 10194]; [542; 4237]; [555; 8606]; [6553; 7336]; [7456; 8830]; [1283; 5403]; [200; 10135]; [3681; 6051]; [5561; 5770]; [6608; 10426]; [10756; 11501]; [3712; 10999]; [5983; 10374]; [1435; 5393]; [6538; 8152]; [781; 6855]; [794; 11224]; [815; 9849]; [1092; 8437]; [6785; 8783]; [138; 9607]; [3736; 6108]; [6781; 11293]; [4826; 8182]; [2857; 8391]; [3604; 3710]; [6635; 8435]; [7036; 9533]; [8252; 9272]; [6714; 10421]; [3218; 7057]; [2194; 6734]; [5254; 6535]; [170; 1574]; [773; 9192]; [663; 11306]; [3673; 4604]; [4390; 6874]; [8094; 10941]; [5236; 8588]; [403; 6656]; [1225; 7222]; [1244; 7272]; [7563; 10524]; [376; 8216]; [8588; 11449]; [5074; 6725]; [10025; 10598]; [4478; 10077]; [4877; 9594]; [5037; 5345]; [5539; 6495]; [1433; 10527]; [3316; 9039]; [169; 9993]; [3768; 7069]; [2004; 2772]; [3554; 8049]; [1651; 11544]; [4767; 9025]; [852; 3957]; [186; 7314]; [866; 1411]; [5292; 8092]; [681; 877]; [7002; 11372]; [1553; 7976]; [5826; 7999]; [1335; 9968]; [557; 6668]; [1458; 8089]; [5744; 8374]; [1322; 1812]; [7670; 9966]; [1952; 5591]; [3166; 5257]; [693; 8407]; [3463; 8661]; [287; 549]; [3715; 8882]; [1535; 9625]; [2474; 10776]; [1313; 4328]; [5208; 7963]; [2190; 5355]; [6412; 10351]; [8555; 10480]; [6188; 8364]; [3923; 9935]; [5745; 7794]; [4235; 10961]; [6506; 10336]; [1541; 2623]; [642; 1248]; [5533; 6568]; [1257; 6247]; [2855; 6280]; [2259; 5468]; [203; 1551]; [822; 9702]; [4464; 6475]; [288; 9768]; [1657; 10503]; [5105; 9689]; [809; 2300]; [9688; 10692]; [2625; 10140]; [1942; 6700]; [4293; 6778]; [5468; 11434]; [5755; 10710]; [2135; 2584]; [3139; 11300]; [2335; 9785]; [6867; 7093]; [2450; 7291]; [7369; 8243]; [6183; 9844]; [7559; 7586]; [9675; 10056]; [1012; 5638]; [927; 3056]; [2632; 10156]; [4838; 4972]; [7264; 7668]; [165; 1043]; [140; 9092]; [5675; 8098]; [9413; 10995]; [1416; 3220]; [2128; 11562]; [387; 2553]; [662; 10894]; [1347; 5335]; [15; 695]; [7358; 10686]; [8134; 10153]; [8499; 8588]; [4897; 8181]; [5632; 8401]; [4302; 4588]; [8914; 10493]; [2611; 4741]; [2581; 9036]; [6745; 8392]; [2118; 4808]; [1421; 9606]; [8458; 8937]; [4258; 7672]; [6348; 10419]; [4946; 5040]; [987; 6870]; [832; 2795]; [2235; 3114]; [4060; 10316]; [710; 1085]; [7673; 8603]; [3536; 4654]; [9542; 9661]; [1142; 10541]; [5839; 6196]; [538; 4950]; [2604; 7303]; [4583; 9310]; [4068; 7144]; [3600; 5578]; [1129; 3139]; [2808; 11270]; [3488; 4613]; [3468; 6590]; [1493; 3601]; [2582; 8483]; [3583; 7102]; [3500; 5347]; [1339; 3134]; [962; 7348]; [1342; 7569]; [1224; 9011]; [8061; 10940]; [408; 2975]; [5506; 6144]; [2173; 3710]; [6713; 8049]; [2368; 10567]; [7215; 9199]; [4691; 10132]; [4849; 6554]; [6062; 6776]; [7751; 9179]; [6777; 8973]; [7548; 8850]; [3076; 9341]; [9130; 10632]; [3497; 3921]; [1354; 7929]; [175; 6537]; [7234; 7347]; [3588; 7422]; [4830; 8382]; [4142; 4598]; [4702; 9136]; [3714; 9224]; [9438; 11135]; [8753; 11032]; [1489; 6060]; [9625; 10961]; [3648; 4440]; [7595; 8265]; [1277; 7867]; [1308; 7180]; [1524; 7744]; [3384; 6087]; [5691; 7371]; [9827; 11095]; [4111; 9799]; [2743; 5502]; [6781; 8691]; [3603; 3916]; [581; 6070]; [1711; 10953]; [1138; 11091]; [2609; 5687]; [2769; 3690]; [6305; 9112]; [5113; 7515]; [5592; 6961]; [1722; 5076]; [4622; 6874]; [8230; 11233]; [28; 1548]; [3639; 8834]; [1989; 6359]; [6574; 8189]; [7436; 8928]; [4554; 6181]; [4700; 5252]; [1245; 4895]; [8414; 10007]; [188; 8596]; [2738; 7386]; [2675; 6283]; [7157; 7234]; [519; 11584]; [6632; 10796]; [7563; 7922]; [3363; 10821]; [1367; 6955]; [3612; 7361]; [553; 10414]; [6876; 11156]; [1769; 10907]; [6185; 6320]; [3516; 10282]; [3467; 4004]; [1259; 9115]; [1383; 4455]; [2009; 3197]; [734; 6261]; [361; 7211]; [8581; 11059]; [7058; 9857]; [1481; 10625]; [2668; 5462]; [3351; 9656]; [9344; 9540]; [8289; 10658]; [321; 7031]; [1792; 2381]; [7390; 9283]; [3188; 11355]; [1246; 4342]; [2276; 7863]; [2033; 8105]; [5455; 6824]; [2930; 3368]; [192; 5281]; [3542; 8096]; [1861; 6308]; [6561; 7896]; [5850; 6572]; [394; 5415]; [3549; 8486]; [4358; 4683]; [2675; 5478]; [5256; 5833]; [887; 2315]; [2672; 5180]; [7207; 9175]; [8865; 10013]; [73; 9911]; [1444; 7309]; [301; 5574]; [817; 10594]; [517; 3886]; [1251; 10297]; [2777; 11016]; [5920; 10320]; [10503; 11323]; [2807; 4442]; [1118; 7674]; [7995; 9002]; [5789; 8524]; [1527; 6381]; [6009; 6578]; [7590; 11168]; [252; 2275]; [706; 2253]; [7741; 11337]; [1454; 11006]; [1543; 3127]; [1288; 2608]; [1585; 6736]; [5083; 6039]; [2383; 4272]; [175; 9383]; [3232; 9667]; [2914; 3908]; [2783; 11561]; [2721; 10683]; [6959; 8268]; [1858; 11217]; [5246; 11106]; [6765; 10654]; [1375; 1449]; [3160; 10730]; [7580; 10049]; [5260; 7779]; [8410; 10506]; [417; 9266]; [340; 940]; [6439; 8390]; [2961; 3323]; [937; 8743]; [443; 7454]; [2836; 7758]; [9147; 11149]; [9481; 10271]; [4037; 6465]; [207; 3979]; [5785; 10229]; [4260; 8954]; [5748; 11101]; [9975; 10025]; [235; 2994]; [6339; 10788]; [3099; 5135]; [702; 7341]; [8355; 8890]; [4086; 9740]; [8604; 10348]; [3158; 9879]; [8638; 9178]; [4255; 8206]; [3025; 10289]; [6483; 10917]; [6391; 11328]; [2090; 2841]; [5949; 10983]; [3218; 7651]; [601; 7639]; [5396; 6081]; [4558; 9146]; [1165; 3251]; [38; 2049]; [6756; 8982]; [256; 1188]; [6379; 6780]; [2218; 11105]; [4574; 6646]; [8088; 10589]; [4392; 10547]; [3010; 8826]; [1045; 10689]; [9699; 10857]; [979; 5905]; [2909; 4987]; [1699; 8446]; [4500; 4603]; [8230; 9891]; [7767; 7915]; [3574; 7821]; [7083; 10666]; [5994; 10702]; [2200; 3709]; [2814; 11516]; [2602; 7661]; [5706; 7037]; [1936; 11018]; [8945; 9055]; [3157; 5439]; [4960; 8910]; [5335; 8033]; [1690; 10962]; [1814; 7056]; [5267; 7340]; [3393; 10819]; [1404; 2462]; [2183; 2200]; [4320; 4793]; [3920; 7303]; [1517; 2524]; [2265; 7113]; [4792; 10615]; [9212; 9934]; [4257; 7073]; [210; 6804]; [1972; 3858]; [3695; 11507]; [3654; 5090]; [3066; 5297]; [5619; 10020]; [5679; 10825]; [827; 4679]; [2102; 5779]; [7241; 11201]; [6300; 6971]; [4426; 11204]; [10936; 11018]; [2715; 9951]; [8821; 9904]; [4738; 9224]; [1397; 3519]; [8618; 8794]; [1424; 4561]; [7965; 10858]; [4942; 9404]; [96; 7210]; [955; 2770]; [5629; 10307]; [742; 11522]; [3108; 7751]; [4684; 8587]; [9102; 11243]; [8136; 8646]; [4337; 7725]; [2162; 2396]; [2757; 3737]; [76; 6184]; [1284; 1898]; [6015; 9969]; [9442; 10530]; [4528; 8424]; [2871; 10440]; [4084; 6498]; [3846; 7838]; [6909; 7213]; [7063; 11063]; [6662; 10719]; [6760; 7090]; [6127; 7177]; [4799; 9826]; [1869; 5153]; [406; 8166]; [1457; 6148]; [1617; 8315]; [3329; 5252]; [2587; 11031]; [5691; 6997]; [3457; 10887]; [4345; 10595]; [8648; 9329]; [5441; 6068]; [3546; 9424]; [2263; 4676]; [1726; 5225]; [2818; 3208]; [3711; 4014]; [5581; 8707]; [4612; 8845]; [1697; 9368]; [6960; 10130]; [4489; 9943]; [514; 11240]; [6359; 8974]; [6674; 8046]; [1787; 5097]; [9285; 9741]; [9777; 10203]; [3026; 4261]; [4232; 9728]; [3901; 10123]; [1150; 11077]; [928; 6534]; [8180; 9991]; [7336; 8323]; [2052; 6684]; [1264; 5702]; [9111; 10500]; [1174; 2776]; [7894; 10536]; [5026; 6741]; [7178; 11120]; [4819; 9646]; [4196; 10421]; [6149; 10453]; [1354; 5595]; [7466; 10998]; [2157; 3475]; [2936; 3213]; [960; 11303]; [3911; 10437]; [943; 3028]; [3716; 9969]; [2591; 3178]; [15; 3167]; [2224; 8080]; [8258; 8719]; [40; 11333]; [1095; 3799]; [3992; 8332]; [3746; 5647]; [4463; 7917]; [874; 8526]; [4709; 4940]; [7532; 11244]; [3089; 10221]; [97; 8834]; [5755; 5961]; [1393; 10030]; [2867; 8307]; [10205; 11538]; [1893; 8101]; [3973; 10160]; [1895; 8147]; [771; 10626]; [4381; 5232]; [7751; 9423]; [740; 9061]; [10485; 10774]; [8737; 11174]; [1509; 1695]; [3537; 3564]; [3100; 7727]; [5216; 5279]; [6521; 8473]; [1173; 11545]; [2094; 7983]; [4179; 10386]; [2849; 7327]; [1531; 8809]; [2439; 4985]; [381; 10821]; [1499; 10025]; [716; 6381]; [2099; 5294]; [6206; 6368]; [9561; 10281]; [4081; 10982]; [1187; 5966]; [2425; 10190]; [3963; 6008]; [8182; 11487]; [7591; 11019]; [5920; 6913]; [7964; 9315]; [2181; 10961]; [268; 2434]; [740; 11289]; [8549; 9187]; [6830; 8827]; [1853; 7116]; [581; 9697]; [6364; 6553]; [9541; 11103]; [5085; 5711]; [1819; 5253]; [8608; 10898]; [7541; 10501]; [5292; 6189]; [4300; 11039]; [723; 2583]; [2280; 3369]; [4854; 5963]; [750; 11576]; [6548; 9464]; [1744; 6018]; [3609; 11121]; [348; 11007]; [8469; 10712]; [2461; 9042]; [5668; 5887]; [4073; 9535]; [1117; 10057]; [494; 10832]; [3799; 10464]; [2894; 8143]; [3455; 10654]; [253; 1321]; [5172; 8689]; [6966; 10162]; [1950; 9277]; [7994; 8352]; [2956; 5988]; [3504; 9011]; [5446; 9608]; [1847; 9529]; [2881; 3370]; [8837; 9014]; [2194; 6604]; [6674; 10892]; [5151; 9690]; [6147; 7211]; [2186; 5962]; [2380; 9211]; [7514; 11283]; [3596; 8950]; [5914; 8171]; [6613; 9835]; [7384; 9712]; [1441; 4273]; [661; 11480]; [1550; 8380]; [4662; 8371]; [0; 2322]; [3009; 4844]; [2486; 3571]; [871; 9196]; [1151; 11465]; [2722; 4787]; [2471; 4387]; [6390; 10328]; [3969; 7976]; [2775; 5552]; [9908; 11007]; [2195; 2991]; [7234; 8209]; [5238; 10759]; [2097; 11501]; [222; 10628]; [2066; 9936]; [2375; 11445]; [32; 3334]; [200; 5362]; [4427; 11456]; [819; 1435]; [3395; 4075]; [2884; 5845]; [1369; 8668]; [1983; 3643]; [5587; 10512]; [4164; 6508]; [6123; 8240]; [3747; 4907]; [8664; 11448]; [948; 8796]; [3534; 7243]; [7673; 11238]; [2441; 5625]; [512; 9397]; [4080; 10193]; [9496; 11197]; [1585; 2442]; [4730; 4825]; [11185; 11348]; [3964; 10210]; [7410; 8569]; [371; 9165]; [5142; 7213]; [1064; 6877]; [1095; 6190]; [9669; 9812]; [5629; 6550]; [10611; 11234]; [7794; 8158]; [1694; 2735]; [1614; 11077]; [112; 10752]; [8412; 10422]; [4805; 9671]; [3585; 6026]; [2685; 4049]; [818; 8699]; [1506; 6821]; [7333; 9611]; [5862; 8599]; [8386; 8420]; [3403; 9927]; [784; 6836]; [968; 9397]; [5456; 10540]; [2501; 8254]; [5013; 9970]; [1969; 8393]; [472; 8412]; [3703; 9815]; [3046; 5344]; [5981; 10361]; [3673; 5442]; [4793; 5473]; [8955; 10418]; [6123; 6280]; [6651; 8651]; [8609; 9781]; [1582; 11138]; [5448; 6865]; [4448; 7690]; [5152; 5591]; [3722; 4580]; [3780; 8722]; [897; 8002]; [6869; 7009]; [1788; 5729]; [3812; 10108]; [3504; 5791]; [4837; 11033]; [2994; 10415]; [2491; 9794]; [2685; 6627]; [3399; 5216]; [6229; 6275]; [6597; 10643]; [3374; 6849]; [7691; 9453]; [318; 10173]; [6132; 6342]; [6787; 7734]; [3518; 3595]; [1271; 3116]; [6933; 7559]; [1654; 2100]; [5138; 8113]; [1647; 11509]; [2358; 7171]; [869; 11215]; [4966; 9349]; [2674; 2681]; [26; 1104]; [2763; 8388]; [2045; 5139]; [9230; 11538]; [9106; 9782]; [4401; 6315]; [3323; 9893]; [9224; 10188]; [421; 10651]; [227; 986]; [5402; 6065]; [6773; 9879]; [3129; 10027]; [6575; 9140]; [1566; 5262]; [7096; 8088]; [5697; 8642]; [3933; 10761]; [6791; 7452]; [2835; 8799]; [1035; 2593]; [7561; 9356]; [1279; 9369]; [5878; 10905]; [10391; 10415]; [10050; 10122]; [98; 4898]; [5858; 6466]; [6694; 6738]; [6377; 11003]; [467; 6458]; [2955; 4370]; [2765; 9908]; [432; 7403]; [1330; 2137]; [7470; 10342]; [8399; 10805]; [1985; 4283]; [6215; 7642]; [5432; 6250]; [7049; 7087]; [3260; 11018]; [3786; 3894]; [7074; 8837]; [1754; 7541]; [539; 4240]; [172; 6890]; [3558; 7450]; [1040; 5165]; [3429; 8733]; [6858; 7869]; [4291; 7974]; [7014; 8382]; [1679; 1890]; [8318; 10974]; [7685; 11061]; [35; 6777]; [1401; 3077]; [933; 1511]; [1779; 2471]; [7001; 7396]; [1521; 1681]; [9051; 10744]; [2268; 9051]; [1205; 3138]; [5998; 11333]; [298; 4154]; [1648; 7091]; [5836; 6841]; [3661; 7928]; [2050; 3873]; [6368; 10085]; [739; 10663]; [4800; 9140]; [1570; 10591]; [7014; 7227]; [4428; 6528]; [6487; 8464]; [2817; 3227]; [1136; 1439]; [1318; 6583]; [4807; 8776]; [4397; 10598]; [6072; 9161]; [6514; 9506]; [7136; 9260]; [2714; 9114]; [7124; 7745]; [8550; 9014]; [5692; 5907]; [9453; 10508]; [4580; 10655]; [4172; 8386]; [2801; 5326]; [143; 2307]; [9640; 10334]; [9645; 10678]; [1672; 7461]; [180; 7824]; [1491; 4417]; [3767; 4136]; [3665; 3859]; [857; 11449]; [1605; 9622]; [2134; 8431]; [10284; 10786]; [7077; 7525]; [2999; 7189]; [1192; 10392]; [1343; 10561]; [4801; 11189]; [412; 603]; [2678; 6050]; [7411; 10030]; [4176; 4721]; [8009; 10888]; [7; 2769]; [8221; 9081]; [41; 8015]; [1691; 4828]; [5330; 7746]; [3360; 5855]; [5760; 7330]; [3925; 10737]; [5785; 8326]; [2772; 8314]; [2084; 4530]; [8183; 9728]; [96; 4689]; [215; 439]; [2828; 9377]; [5634; 8130]; [4106; 10748]; [424; 3996]; [3949; 5846]; [6060; 10224]; [5098; 10779]; [5535; 11534]; [1731; 3853]; [9022; 10648]; [5591; 7679]; [90; 8257]; [9706; 11280]; [10821; 10967]; [6593; 7654]; [9568; 11346]; [5559; 6643]; [5567; 6504]; [393; 11449]; [235; 1441]; [3383; 9757]; [580; 4859]; [5607; 8562]; [3320; 9408]; [543; 11393]; [6548; 7130]; [6541; 10123]; [1873; 6538]; [2313; 6810]; [1382; 2514]; [4773; 8336]; [6387; 9656]; [6113; 10585]; [4427; 7699]; [7104; 7762]; [1091; 6502]; [7531; 7829]; [5521; 6509]; [4045; 5153]; [1278; 8580]; [9566; 10869]; [3300; 4245]; [378; 4351]; [5112; 11185]; [4391; 9173]; [2931; 5287]; [403; 8730]; [2392; 5009]; [8393; 9672]; [10504; 11044]; [8946; 10787]; [6124; 8091]; [3039; 5759]; [1785; 3284]; [3197; 7099]; [4255; 5498]; [3787; 3932]; [12; 7569]; [793; 8134]; [6990; 9703]; [6964; 8482]; [3776; 9435]; [513; 9248]; [8448; 9729]; [1539; 6611]; [2997; 5883]; [525; 2842]; [1529; 11558]; [502; 5302]; [9118; 9150]; [8782; 9201]; [2218; 5364]; [3889; 7218]; [6972; 8723]; [5874; 6007]; [4387; 10878]; [4256; 7951]; [3943; 7454]; [3294; 9260]; [2210; 8886]; [1833; 8936]; [6224; 7517]; [2149; 10862]; [1244; 8541]; [919; 2365]; [946; 4188]; [5271; 10817]; [3909; 10472]; [917; 9085]; [6214; 9431]; [3468; 10729]; [8421; 10511]; [749; 4024]; [7207; 10818]; [5607; 6952]; [3373; 4426]; [847; 10948]; [6542; 11367]; [5854; 7583]; [273; 10861]; [813; 8331]; [1609; 9204]; [6135; 9673]; [3320; 9676]; [2738; 10452]; [4629; 9606]; [988; 10025]; [2444; 3589]; [9952; 11173]; [420; 10507]; [7856; 7857]; [4653; 11131]; [608; 7525]; [4770; 6054]; [2976; 3046]; [6427; 8919]; [8911; 9341]; [3025; 9354]; [3056; 4503]; [6695; 8175]; [4366; 8041]; [6071; 10977]; [875; 5021]; [1679; 6509]; [7291; 11589]; [5044; 11110]; [1331; 2793]; [3543; 11387]; [962; 11032]; [2367; 7260]; [2541; 2717]; [7905; 9947]; [835; 1808]; [7803; 9670]; [6003; 9880]; [9477; 11041]; [8673; 9526]; [2725; 7907]; [3322; 6665]; [8299; 11005]; [5331; 10012]; [10838; 11134]; [2405; 5458]; [3344; 7363]; [8786; 9588]; [1343; 3153]; [2158; 2548]; [4799; 7118]; [682; 1192]; [3923; 9699]; [3018; 7378]; [5428; 10295]; [7689; 8228]; [5863; 9469]; [3766; 5551]; [3915; 9057]; [1745; 10488]; [6963; 11507]; [1890; 3672]; [5819; 10301]; [4594; 8564]; [4790; 5470]; [4532; 11096]; [4938; 6122]; [5600; 10937]; [6436; 8957]; [8296; 9552]; [1644; 10032]; [2141; 10838]; [4741; 8991]; [147; 1383]; [4462; 9576]; [4033; 7184]; [2605; 2836]; [2947; 5983]; [1641; 3318]; [6864; 11097]; [1038; 11161]; [2745; 8508]; [3927; 9417]; [1077; 4673]; [8040; 11437]; [67; 4056]; [6398; 8823]; [8072; 10194]; [8005; 8972]; [6606; 9526]; [6291; 8202]; [2065; 5716]; [9644; 11288]; [1870; 10910]; [530; 2999]; [5550; 10419]; [1865; 4150]; [5388; 10091]; [5844; 10142]; [2046; 6413]; [2393; 9904]; [272; 1428]; [2372; 9027]; [4640; 4721]; [2861; 5808]; [7558; 7879]; [3079; 4947]; [1417; 6619]; [3509; 10193]; [5370; 7226]; [2758; 5306]; [5149; 5537]; [1544; 5613]; [7105; 10004]; [766; 2313]; [1375; 3360]; [5490; 9213]; [7021; 8024]; [6670; 7043]; [293; 10202]; [2929; 10264]; [8130; 9394]; [472; 1085]; [138; 8379]; [7132; 11046]; [110; 10495]; [506; 11249]; [3487; 7559]; [7131; 11575]; [402; 3729]; [6764; 10061]; [477; 8976]; [1192; 11173]; [337; 8215]; [275; 7337]; [1152; 7610]; [216; 10140]; [4734; 10748]; [6289; 9953]; [10179; 10992]; [10523; 10802]; [3481; 4711]; [559; 10479]; [1426; 10064]; [1152; 10993]; [2601; 3386]; [273; 1225]; [5443; 5960]; [1086; 6209]; [5594; 6129]; [3505; 6236]; [7711; 11453]; [3528; 6405]; [5923; 8290]; [1191; 7164]; [5275; 10698]; [6235; 8562]; [2997; 10152]; [10150; 10597]; [1602; 5163]; [2928; 11486]; [2930; 5897]; [92; 10612]; [42; 4833]; [6227; 11303]; [8534; 10335]; [3742; 4994]; [1460; 4706]; [5324; 6776]; [5169; 9117]; [3507; 11543]; [5229; 9922]; [1153; 10413]; [2166; 9069]; [5223; 9353]; [4189; 4932]; [3944; 8511]; [7464; 10017]; [10654; 11419]; [951; 9151]; [4282; 8506]; [5964; 9738]; [5142; 6920]; [2571; 7253]; [314; 6086]; [8818; 8939]; [2560; 9346]; [5488; 10940]; [192; 10038]; [2845; 9707]; [3184; 9173]; [756; 5650]; [3619; 9101]; [4555; 6571]; [3937; 7690]; [1306; 3084]; [3613; 8532]; [3081; 5261]; [3117; 4918]; [1532; 2838]; [3853; 7992]; [7748; 8621]; [184; 6363]; [2773; 4327]; [5730; 6659]; [3411; 3860]; [4758; 7280]; [3947; 10256]; [6153; 9236]; [1512; 3310]; [452; 1832]; [5087; 5277]; [5938; 10745]; [1630; 5251]; [1328; 11302]; [1605; 7638]; [5022; 7511]; [5515; 10827]; [759; 5143]; [4644; 8090]; [2288; 10297]; [2624; 3830]; [3594; 6546]; [4743; 11479]; [7169; 8513]; [8853; 10572]; [4149; 11494]; [4106; 8414]; [2146; 6457]; [3961; 5027]; [1492; 5667]; [2732; 9964]; [220; 1832]; [626; 2520]; [1498; 2449]; [1894; 3203]; [3333; 11093]; [2984; 4523]; [1280; 10857]; [6693; 8934]; [3197; 5570]; [6247; 10345]; [5003; 8558]; [2103; 3727]; [2476; 8439]; [7395; 9391]; [7049; 8754]; [918; 2520]; [757; 11462]; [2976; 3477]; [636; 6217]; [887; 10000]; [4619; 5535]; [1066; 5801]; [5356; 9211]; [1497; 1823]; [4296; 9985]; [228; 8085]; [133; 4815]; [1461; 5549]; [11266; 11477]; [1242; 10349]; [433; 8490]; [2619; 5283]; [2198; 2809]; [4640; 10145]; [3139; 10422]; [3082; 9888]; [3475; 9590]; [4189; 8933]; [6861; 8652]; [5054; 5439]; [4468; 10977]; [3214; 8502]; [1998; 2347]; [2109; 9503]; [5151; 8755]; [9664; 10517]; [3396; 7984]; [4999; 11367]; [1257; 4564]; [2398; 2466]; [1541; 4323]; [1043; 9708]; [6442; 9607]; [778; 1331]; [4246; 9817]; [3016; 11146]; [5137; 9796]; [6315; 10963]; [3856; 5875]; [1717; 2455]; [5411; 5834]; [3757; 11531]; [5474; 9566]; [4192; 11459]; [1088; 2661]; [4536; 9017]; [1487; 2932]; [1425; 6218]; [8372; 9039]; [1915; 5099]; [5039; 6605]; [7525; 10106]; [6959; 11415]; [3948; 5814]; [7647; 9537]; [178; 3379]; [882; 1280]; [6869; 8489]; [8985; 10205]; [3763; 6034]; [9422; 10960]; [6712; 8505]; [11135; 11505]; [4910; 7888]; [5371; 9037]; [2040; 7430]; [1938; 2989]; [229; 9733]; [5772; 10512]; [1655; 4586]; [11147; 11515]; [879; 4365]; [1035; 4878]; [1281; 8317]; [1501; 10535]; [4801; 9823]; [7502; 8028]; [4489; 8016]; [10024; 11186]; [3670; 4715]; [225; 9210]; [9246; 10892]; [598; 5254]; [1219; 4406]; [7998; 9363]; [5221; 11348]; [35; 6834]; [2862; 3458]; [3646; 9956]; [2581; 10386]; [10213; 11058]; [7622; 10015]; [328; 2168]; [3361; 4310]; [5752; 7951]; [26; 5967]; [1736; 9247]; [6593; 9321]; [3759; 10772]; [1550; 3607]; [3566; 11131]; [7986; 8198]; [145; 6598]; [1162; 9914]; [6089; 10727]; [4682; 5004]; [3436; 8806]; [1251; 2035]; [573; 3103]; [460; 11305]; [266; 1640]; [507; 4735]; [3194; 5486]; [9788; 10663]; [686; 3919]; [4925; 10774]; [6256; 11025]; [5982; 10456]; [2704; 8483]; [364; 4807]; [2729; 9479]; [5194; 5687]; [1174; 9493]; [116; 3924]; [1512; 2318]; [5460; 6745]; [2344; 3602]; [8828; 10863]; [3035; 6903]; [1313; 2108]; [8162; 8558]; [3055; 8309]; [8760; 9416]; [1356; 8571]; [4764; 11364]; [5335; 8147]; [698; 6881]; [8900; 9426]; [7719; 11371]; [10248; 11536]; [2682; 9609]; [5918; 7946]; [2822; 11117]; [465; 4054]; [1669; 9448]; [4224; 7828]; [1080; 9053]; [4815; 8269]; [3998; 5795]; [3225; 10009]; [4505; 7289]; [637; 2067]; [2751; 9372]; [1240; 9685]; [6078; 11237]; [7974; 11489]; [3653; 11395]; [234; 10695]; [7042; 7722]; [734; 8766]; [4593; 9738]; [5082; 6519]; [4278; 8414]; [7640; 9334]; [6981; 9698]; [782; 5050]; [2621; 11184]; [7970; 10966]; [2394; 5543]; [5697; 8512]; [7295; 11551]; [4360; 6534]; [2066; 9619]; [1753; 4958]; [3183; 3717]; [3090; 3526]; [130; 6558]; [3340; 7084]; [6846; 10412]; [846; 9357]; [2553; 6704]; [3602; 8023]; [4885; 8984]; [2132; 3449]; [4664; 7295]; [4499; 8948]; [2484; 8038]; [8449; 10038]; [1546; 7489]; [1298; 3223]; [830; 903]; [7583; 7645]; [1103; 9171]; [4475; 7773]; [1072; 7606]; [5968; 6854]; [880; 10065]; [4894; 8696]; [8734; 9618]; [5716; 9262]; [1070; 1494]; [3458; 3706]; [445; 7858]; [1663; 8424]; [2680; 6822]; [4268; 9173]; [4617; 7075]; [5479; 8568]; [4958; 7368]; [2500; 5134]; [4198; 11063]; [6919; 11398]; [9438; 10875]; [2148; 11098]; [6907; 9883]; [1616; 7073]; [2426; 6124]; [1110; 2771]; [3510; 4246]; [4139; 6669]; [1204; 5816]; [5813; 8040]; [3633; 8783]; [7745; 7949]; [2545; 10919]; [3100; 9451]; [87; 9439]; [6116; 8980]; [4399; 4529]; [9194; 10141]; [975; 3485]; [10417; 11051]; [2349; 10980]; [7359; 11296]; [3565; 4303]; [4747; 5212]; [8699; 9381]; [2009; 7125]; [9034; 9105]; [10658; 11113]; [4343; 4570]; [845; 10959]; [2868; 6068]; [495; 6416]; [5515; 7420]; [4861; 8882]; [5365; 10859]; [7717; 11162]; [5981; 6661]; [977; 9543]; [4709; 9242]; [4458; 5459]; [3293; 7937]; [5409; 10407]; [1871; 7541]; [9935; 10876]; [7334; 8391]; [897; 919]; [3176; 10735]; [5848; 10454]; [63; 7109]; [3762; 10078]; [2950; 7948]; [405; 3840]; [5025; 10417]; [6000; 7061]; [9642; 10250]; [6987; 7502]; [6930; 11132]; [3439; 8112]; [326; 10902]; [3101; 5084]; [5365; 9704]; [2975; 6665]; [4346; 10479]; [7178; 8201]; [7135; 10783]; [4184; 5233]; [3504; 5474]; [8411; 11327]; [40; 5031]; [6194; 9936]; [2553; 10355]; [6451; 11255]; [5203; 5562]; [5387; 7369]; [308; 2752]; [2799; 10761]; [4541; 9792]; [2423; 11413]; [957; 10745]; [2080; 3877]; [8303; 11585]; [7554; 9023]; [1303; 4185]; [1071; 4616]; [2139; 2205]; [6427; 11204]; [3442; 4572]; [161; 5334]; [7357; 8859]; [5421; 5798]; [2711; 7507]; [9288; 10795]; [8254; 10538]; [4396; 6004]; [3644; 3925]; [7475; 10019]; [7783; 7920]; [3550; 4263]; [303; 8019]; [249; 11166]; [6966; 11081]; [1520; 11366]; [7401; 8757]; [3887; 4033]; [7056; 10974]; [4912; 11374]; [2195; 7748]; [1696; 6115]; [77; 2199]; [421; 2763]; [574; 3005]; [241; 7491]; [7701; 10897]; [516; 9416]; [1362; 3960]; [2819; 6794]; [9099; 10872]; [9585; 10765]; [7014; 11098]; [13; 844]; [4085; 7781]; [348; 1322]; [1032; 10622]; [1839; 9402]; [8623; 11293]; [10615; 11253]; [5200; 10097]; [1750; 10084]; [7722; 9091]; [1867; 4253]; [2429; 3202]; [2174; 9099]; [7616; 11324]; [3378; 7323]; [2545; 10732]; [799; 1379]; [4756; 5892]; [4100; 10691]; [1113; 9648]; [7610; 11509]; [8088; 8101]; [9053; 10473]; [741; 7790]; [2666; 6528]; [1360; 3109]; [4756; 9275]; [7760; 11453]; [3412; 3874]; [5958; 10836]; [2992; 4254]; [9008; 9949]; [541; 9607]; [9591; 9775]; [3491; 11522]; [69; 4135]; [10676; 10751]; [8965; 10252]; [288; 9134]; [943; 10526]; [2053; 9869]; [4823; 5959]; [6693; 11406]; [2587; 6770]; [2950; 10794]; [4904; 8018]; [5043; 5144]; [4907; 8289]; [4533; 9768]; [1864; 7314]; [5059; 9060]; [916; 1913]; [5833; 8454]; [632; 2154]; [1392; 1842]; [3250; 5020]; [638; 5352]; [3630; 5241]; [3380; 10728]; [794; 5865]; [1099; 4249]; [2196; 8992]; [635; 11470]; [358; 6466]; [4675; 9070]; [2472; 8109]; [4342; 6386]; [6544; 10128]; [5388; 8188]; [1193; 7267]; [6260; 10369]; [104; 2385]; [998; 6045]; [5786; 8234]; [2023; 6970]; [3929; 7910]; [7793; 9226]; [5880; 7869]; [6285; 9086]; [2303; 6206]; [2270; 10230]; [2671; 4912]; [4997; 10410]; [7870; 8133]; [6024; 7244]; [2266; 7078]; [2132; 3880]; [516; 6651]; [2223; 3998]; [1075; 8335]; [4433; 5349]; [2171; 7191]; [3255; 4559]; [2759; 7361]; [5401; 8369]; [7409; 8862]; [4499; 9729]; [4437; 8851]; [2006; 5811]; [633; 1170]; [385; 8238]; [3580; 9230]; [999; 9629]; [5388; 7383]; [2965; 4204]; [3426; 8763]; [4804; 7332]; [1621; 8629]; [1371; 8454]; [466; 6133]; [6190; 11454]; [5511; 8887]; [334; 2981]; [6656; 9914]; [2920; 11227]; [4004; 4431]; [6213; 9344]; [5776; 9343]; [7312; 8498]; [8272; 10526]; [2665; 9954]; [7152; 11249]; [3824; 9159]; [4352; 11530]; [4128; 10324]; [2041; 7094]; [4092; 4251]; [330; 5841]; [973; 6472]; [1663; 4667]; [3022; 6966]; [351; 10101]; [7413; 11182]; [3676; 8887]; [3032; 11037]; [1246; 8701]; [2362; 11242]; [39; 9425]; [6187; 6968]; [2644; 3758]; [3609; 4632]; [139; 5872]; [369; 8778]; [3285; 11109]; [3223; 10231]; [7858; 11424]; [1397; 9220]; [4506; 4776]; [1605; 9923]; [3089; 4000]; [10809; 10908]; [3674; 3872]; [2061; 10324]; [4492; 6948]; [717; 11339]; [2114; 6952]; [1783; 8101]; [7375; 7641]; [995; 10529]; [3236; 7029]; [2895; 10900]; [4693; 9863]; [585; 11570]; [2947; 10309]; [3886; 5798]; [1830; 1881]; [7764; 10984]; [3781; 7502]; [4591; 6553]; [6616; 8905]; [8512; 9157]; [1786; 7244]; [430; 5216]; [4587; 9817]; [6176; 7852]; [7519; 8120]; [3751; 6512]; [1386; 6721]; [3676; 10310]; [3924; 3996]; [3464; 5701]; [3987; 7728]; [2435; 8040]; [3178; 5869]; [2870; 5716]; [5912; 6466]; [523; 7285]; [5318; 5727]; [125; 6458]; [3922; 10716]; [1346; 10705]; [1988; 3564]; [4042; 11572]; [4171; 7256]; [931; 1603]; [4358; 7082]; [2553; 6948]; [9271; 9717]; [395; 5006]; [5353; 11548]; [10205; 11278]; [7309; 9599]; [2517; 10674]; [730; 10365]; [1141; 9899]; [547; 11412]; [4036; 11353]; [164; 8641]; [78; 3205]; [11283; 11433]; [4239; 10931]; [2090; 3817]; [1379; 8909]; [1003; 9561]; [4086; 11066]; [7933; 10523]; [8805; 10452]; [2391; 3930]; [1960; 11291]; [3636; 9325]; [615; 3036]; [5167; 8136]; [2323; 9653]; [1517; 4305]; [6126; 6529]; [1510; 3134]; [1864; 8550]; [4262; 9198]; [7431; 9723]; [1576; 4885]; [609; 1686]; [6302; 8448]; [6923; 11010]; [6926; 8275]; [8827; 8871]; [2822; 6718]; [7457; 7911]; [141; 9165]; [2287; 3930]; [8513; 10401]; [2726; 10393]; [10718; 11408]; [2559; 11219]; [5174; 10404]; [2588; 10459]; [1507; 9602]; [967; 5716]; [3398; 9510]; [4771; 6981]; [3764; 10799]; [536; 6661]; [1276; 7225]; [4185; 6857]; [2732; 9834]; [3329; 7838]; [4392; 7335]; [8399; 8959]; [2986; 7472]; [5099; 5507]; [3667; 10085]; [5826; 9219]; [3302; 9398]; [3856; 4322]; [10177; 10653]; [1144; 7456]; [7240; 8973]; [4036; 9393]; [2363; 5214]; [2480; 5799]; [7122; 8163]; [1454; 9567]; [4871; 10194]; [3637; 9095]; [1987; 5866]; [4807; 7735]; [5681; 8491]; [4447; 7392]; [8019; 9842]; [617; 4906]; [7414; 10442]; [2130; 4639]; [3271; 3295]; [9375; 11089]; [5760; 10477]; [4268; 4424]; [904; 1179]; [1786; 8212]; [1184; 9864]; [10621; 10670]; [7507; 9852]; [4389; 5882]; [2993; 10871]; [1159; 5081]; [876; 2514]; [1813; 9254]; [5909; 10169]; [3325; 3881]; [4624; 5375]; [2975; 5754]; [10447; 11429]; [5876; 11160]; [2889; 10117]; [4539; 6176]; [1205; 1642]; [3725; 10389]; [5996; 9010]; [7775; 8677]; [3066; 8501]; [4072; 7464]; [5278; 6515]; [1828; 10666]; [2036; 4953]; [790; 5749]; [6084; 8830]; [5215; 6166]; [4236; 4862]; [4461; 7424]; [230; 6846]; [70; 3181]; [6016; 7383]; [6508; 7845]; [1059; 3695]; [5009; 11201]; [1407; 10794]; [627; 7421]; [2766; 4425]; [1783; 7109]; [439; 954]; [6158; 6685]; [6106; 6495]; [7066; 8523]; [4953; 10488]; [5538; 6977]; [2073; 2926]; [4235; 7993]; [1150; 3409]; [7614; 10048]; [5310; 8281]; [19; 5471]; [306; 8911]; [4939; 9277]; [2107; 5893]; [8798; 11003]; [4493; 5026]; [2852; 9430]; [2214; 9173]; [450; 4876]; [9932; 11117]; [598; 4774]; [2972; 8034]; [6076; 9662]; [6420; 7974]; [10752; 10856]; [1874; 5318]; [824; 10944]; [4988; 6136]; [5829; 6752]; [1849; 7705]; [6608; 10654]; [8538; 9736]; [8715; 10372]; [3584; 9729]; [7042; 10357]; [2338; 7115]; [2426; 2798]; [4019; 9657]; [9673; 10075]; [6157; 8688]; [6312; 6347]; [2836; 4359]; [7808; 9109]; [644; 1335]; [2644; 7572]; [1889; 5976]; [1736; 9117]; [1579; 11385]; [7699; 11044]; [2229; 6017]; [1086; 10698]; [9985; 11451]; [5925; 6059]; [3722; 8508]; [2780; 7059]; [2289; 3035]; [3376; 11254]; [1872; 7850]; [6572; 10192]; [2186; 9703]; [5381; 11449]; [5331; 5670]; [3576; 11315]; [1212; 3081]; [5451; 9936]; [6910; 9433]; [1617; 4298]; [2155; 7357]; [5259; 6733]; [7461; 10475]; [4379; 6162]; [9050; 9264]; [5880; 9268]; [1701; 5874]; [3319; 9565]; [9790; 10205]; [2844; 6828]; [8420; 9999]; [3967; 10540]; [137; 8054]; [1593; 1618]; [4120; 4366]; [1886; 8256]; [1509; 6054]; [1132; 6104]; [3706; 9452]; [3060; 8523]; [8634; 10867]; [3923; 10618]; [284; 7700]; [10894; 11581]; [4489; 6276]; [1461; 5232]; [6997; 11256]; [1579; 3009]; [4662; 7924]; [1391; 2958]; [1050; 6829]; [2165; 6516]; [655; 9683]; [3780; 10690]; [7119; 9906]; [739; 2214]; [5873; 11456]; [1050; 10212]; [4808; 11132]; [4123; 11029]; [2817; 7610]; [1601; 7871]; [7089; 11195]; [5621; 9700]; [6058; 10455]; [5836; 11574]; [1824; 3190]; [2407; 3016]; [1474; 5063]; [2964; 3873]; [8206; 10928]; [1260; 10961]; [264; 6270]; [539; 11201]; [3190; 10043]; [10057; 10683]; [2940; 9114]; [9468; 10288]; [7226; 10153]; [6895; 10548]; [7638; 8377]; [8932; 9527]; [190; 844]; [5790; 11579]; [3517; 9125]; [4482; 11497]; [8537; 10129]; [9657; 10160]; [7835; 8167]; [7597; 8753]; [8130; 11468]; [1150; 6255]; [7316; 9265]; [4568; 10490]; [6008; 9937]; [1863; 8379]; [1550; 10511]; [7799; 8860]; [2016; 5588]; [2076; 5639]; [9636; 11161]; [3132; 8129]; [5000; 10497]; [7116; 8049]; [2684; 7215]; [7303; 7875]; [4397; 7760]; [233; 6152]; [3591; 9582]; [318; 7953]; [5008; 6601]; [9436; 10699]; [8284; 11130]; [3730; 9367]; [9839; 11089]; [4297; 4496]; [5257; 6524]; [7531; 10334]; [8804; 10607]; [4783; 10805]; [2044; 3448]; [6317; 9887]; [1166; 2950]; [4692; 8408]; [8728; 10770]; [7857; 11443]; [6485; 10410]; [8157; 8702]; [2623; 8386]; [5075; 10805]; [572; 4813]; [2836; 3017]; [1873; 11271]; [725; 9192]; [5176; 7824]; [2956; 11420]; [6970; 10051]; [3391; 11348]; [6068; 11411]; [939; 6677]; [8531; 10956]; [5093; 10980]; [5936; 6007]; [581; 7908]; [1789; 7786]; [3783; 4409]; [3194; 10430]; [1231; 9710]; [9642; 10120]; [2326; 11374]; [1884; 3859]; [2820; 6247]; [4000; 6329]; [3163; 5832]; [3440; 4420]; [2839; 9680]; [6015; 11376]; [9690; 9787]; [2410; 6534]; [450; 9495]; [3160; 5534]; [3712; 6047]; [9374; 11244]; [4365; 11530]; [1091; 7047]; [2173; 3588]; [1369; 8489]; [6; 8700]; [3106; 7176]; [5382; 6895]; [740; 8695]; [4385; 11401]; [125; 3669]; [428; 1226]; [706; 9084]; [1707; 5451]; [1182; 2597]; [1545; 6621]; [8575; 8945]; [3938; 7679]; [106; 8530]; [2191; 10933]; [3159; 11324]; [5287; 10391]; [6001; 9734]; [1796; 7371]; [1194; 9023]; [131; 3110]; [1856; 5924]; [7288; 7461]; [297; 4311]; [2439; 8002]; [4830; 5227]; [3085; 5144]; [5020; 10986]; [6360; 6819]; [4056; 9216]; [7000; 7179]; [2277; 3887]; [69; 8998]; [12; 8464]; [5764; 10171]; [3152; 10503]; [6142; 8811]; [2584; 4569]; [8647; 10110]; [9870; 11020]; [2711; 4344]; [2792; 5272]; [3664; 5201]; [2712; 7198]; [501; 1458]; [3362; 4082]; [1987; 9948]; [471; 9917]; [836; 1936]; [4999; 6325]; [2046; 10528]; [5991; 10520]; [542; 708]; [7794; 8329]; [7551; 8571]; [2079; 9887]; [4689; 8728]; [6174; 7194]; [4434; 7455]; [3427; 4857]; [266; 1941]; [7452; 11194]; [1151; 2105]; [1622; 8106]; [407; 11221]; [8220; 10019]; [1838; 2254]; [692; 1002]; [602; 4492]; [7902; 8397]; [3805; 3847]; [5845; 7261]; [4785; 7281]; [8713; 11056]; [3145; 5494]; [5197; 9669]; [5135; 8791]; [9447; 11051]; [1140; 3794]; [2208; 7799]; [5343; 9494]; [6158; 8889]; [208; 781]; [574; 2070]; [3163; 6450]; [3909; 10212]; [7801; 7914]; [4993; 8334]; [3250; 9078]; [6180; 9587]; [4251; 7697]; [7725; 8104]; [2317; 11125]; [4340; 10398]; [5398; 9551]; [3330; 10535]; [9601; 11087]; [1595; 11140]; [5521; 7672]; [2586; 6819]; [1368; 6253]; [2957; 4288]; [5641; 6276]; [7217; 10522]; [7103; 9454]; [5565; 7220]; [618; 4220]; [88; 1022]; [7278; 7765]; [177; 10893]; [7035; 8007]; [6259; 8540]; [3477; 3765]; [4731; 9623]; [3015; 8780]; [49; 8614]; [320; 6633]; [6395; 7273]; [1386; 9811]; [5894; 8977]; [7175; 9865]; [322; 6679]; [193; 7989]; [6242; 9660]; [4306; 6599]; [171; 9893]; [2652; 6634]; [4174; 7611]; [6290; 10081]; [3456; 11532]; [5159; 11389]; [7036; 7427]; [3211; 5285]; [5728; 7345]; [2956; 10428]; [1767; 8348]; [2142; 7471]; [807; 4068]; [3071; 8688]; [6281; 11466]; [607; 2502]; [5961; 9798]; [2927; 8909]; [6005; 9316]; [3788; 10177]; [2785; 11485]; [8516; 11561]; [3098; 3314]; [264; 8929]; [7767; 9753]; [2282; 3694]; [893; 5690]; [8021; 10801]; [3868; 9382]; [2697; 6353]; [6957; 7669]; [846; 5120]; [5515; 11559]; [1917; 8642]; [1007; 5977]; [284; 9554]; [1848; 4341]; [4582; 4938]; [3054; 9808]; [2092; 6953]; [5201; 7427]; [8559; 10857]; [4328; 7273]; [1463; 7913]; [5702; 8352]; [2808; 4090]; [129; 2446]; [3298; 9387]; [7097; 10308]; [2608; 8940]; [3358; 3776]; [3289; 5891]; [954; 8975]; [4440; 5235]; [501; 7687]; [9771; 10073]; [243; 1235]; [5540; 7243]; [1180; 7975]; [7737; 10641]; [3698; 7227]; [5594; 7479]; [1736; 9361]; [2913; 3510]; [5839; 10693]; [4994; 8423]; [5154; 10590]; [1283; 1687]; [3877; 6411]; [601; 7517]; [11; 4268]; [642; 7518]; [4561; 7043]; [2128; 2422]; [536; 9751]; [694; 11091]; [9165; 11552]; [695; 1113]; [7449; 10709]; [4951; 5693]; [6886; 11535]; [936; 9843]; [7035; 8625]; [2773; 6482]; [6278; 6956]; [4201; 4414]; [9485; 10217]; [498; 7365]; [456; 7139]; [10822; 11414]; [1832; 4881]; [402; 11040]; [796; 10213]; [8234; 9888]; [305; 6943]; [1852; 6287]; [3810; 7417]; [484; 1990]; [2385; 9002]; [3040; 10394]; [2001; 3377]; [393; 6009]; [5365; 10005]; [65; 2945]; [1445; 7976]; [7104; 8738]; [2954; 11000]; [5075; 7398]; [9092; 9710]; [2617; 5164]; [9401; 10465]; [8391; 10602]; [1087; 6955]; [434; 11271]; [3445; 10456]; [2175; 7448]; [1889; 11026]; [1046; 10337]; [8551; 11234]; [4096; 8696]; [677; 7996]; [5095; 10652]; [7485; 11439]; [9947; 10382]; [5594; 5869]; [4992; 7521]; [5442; 8481]; [3651; 5047]; [1070; 5446]; [5397; 8738]; [2066; 2967]; [295; 8833]; [8467; 8503]; [1787; 6935]; [789; 8587]; [2067; 9958]; [3772; 10642]; [6543; 9586]; [1963; 8854]; [4451; 6012]; [2959; 4123]; [378; 4522]; [1370; 4553]; [4136; 8071]; [24; 2489]; [19; 2145]; [2021; 9209]; [5275; 5900]; [3203; 3702]; [2854; 3548]; [560; 2469]; [7344; 8524]; [2055; 2377]; [3194; 5868]; [6344; 8595]; [3438; 6228]; [2080; 9789]; [7216; 9278]; [3384; 10129]; [2919; 7326]; [3227; 5227]; [8017; 10495]; [2002; 7654]; [2050; 4662]; [3532; 9246]; [16; 8613]; [1940; 7126]; [5608; 11536]; [2494; 8466]; [350; 4702]; [4266; 6208]; [1501; 4046]; [6824; 11275]; [3108; 9857]; [2187; 7003]; [905; 2480]; [2333; 6828]; [4884; 8472]; [555; 4353]; [9297; 10784]; [1057; 5503]; [1559; 10817]; [6750; 10013]; [1141; 2198]; [578; 9440]; [247; 3419]; [2206; 11567]; [358; 10605]; [1139; 11170]; [2975; 4201]; [798; 10877]; [547; 678]; [8774; 11359]; [5215; 7646]; [4375; 9884]; [6794; 11409]; [5392; 6030]; [4146; 9832]; [8604; 10389]; [4464; 9175]; [5448; 9345]; [919; 9302]; [6609; 9377]; [9788; 10590]; [1029; 6464]; [662; 11366]; [7448; 7668]; [10720; 11324]; [5849; 6656]; [1217; 9898]; [6944; 9074]; [5039; 10988]; [130; 5062]; [3289; 11315]; [1054; 5181]; [6338; 6820]; [1711; 3236]; [1143; 4472]; [6693; 8674]; [3321; 7066]; [2354; 3867]; [4139; 5978]; [3103; 11310]; [5247; 8658]; [2377; 2538]; [4191; 9551]; [4002; 7400]; [3039; 10736]; [2685; 6074]; [9849; 10842]; [2504; 7194]; [43; 5443]; [4117; 10541]; [1806; 5351]; [9104; 9907]; [5701; 6734]; [6721; 9567]; [7629; 11405]; [5239; 8366]; [1156; 7686]; [6419; 8448]; [727; 5294]; [4199; 9792]; [2766; 5100]; [7991; 9542]; [3992; 5527]; [3973; 7005]; [1017; 1111]; [2864; 11270]; [3172; 9171]; [767; 936]; [3227; 8878]; [1523; 3134]; [11324; 11572]; [7621; 11113]; [1943; 11075]; [4658; 8212]; [4009; 10018]; [2605; 3812]; [6705; 7879]; [332; 1358]; [1510; 11193]; [1950; 5049]; [9; 8060]; [3529; 9566]; [7261; 9265]; [2322; 10290]; [633; 1471]; [2785; 5850]; [6362; 7890]; [6455; 10333]; [4398; 9197]; [6110; 6888]; [74; 9586]; [4178; 4727]; [3398; 7770]; [4363; 10142]; [8439; 9651]; [1402; 10320]; [1524; 4833]; [2582; 8150]; [4; 8066]; [6439; 9049]; [2669; 6614]; [2607; 9900]; [8832; 9353]; [2051; 7733]; [4329; 8279]; [5170; 8895]; [4169; 10276]; [2326; 3242]; [8862; 11447]; [1947; 4377]; [8212; 10776]; [3876; 5486]; [4344; 5554]; [5587; 10122]; [1110; 10269]; [8453; 10838]; [6240; 9189]; [4648; 5184]; [5950; 11113]; [71; 1717]; [9747; 11207]; [3334; 6041]; [7793; 10950]; [4264; 5194]; [6719; 7130]; [4955; 6997]; [719; 10239]; [8962; 10873]; [6285; 10810]; [8091; 11546]; [3172; 4178]; [3230; 8320]; [3455; 10882]; [399; 7036]; [2011; 7529]; [1171; 9767]; [2953; 8951]; [765; 2663]; [4314; 4907]; [4092; 6780]; [2199; 10209]; [7263; 7378]; [9795; 11224]; [6643; 8424]; [2415; 9275]; [6649; 9370]; [5995; 10832]; [3409; 3717]; [6182; 10658]; [1663; 4163]; [314; 11250]; [2340; 3624]; [4394; 10878]; [1217; 9711]; [4948; 11437]; [3606; 6109]; [1307; 5440]; [9987; 10993]; [3362; 9132]; [4377; 5205]; [8807; 9376]; [2422; 8510]; [2330; 8921]; [4384; 9759]; [5442; 8912]; [2199; 2988]; [2311; 3983]; [7642; 8821]; [2100; 9398]; [507; 6703]; [4334; 8891]; [4643; 9646]; [5357; 8989]; [8476; 10151]; [4426; 5447]; [30; 4270]; [1533; 9701]; [4800; 5099]; [2124; 7890]; [7215; 9134]; [2459; 9866]; [1732; 9537]; [772; 1093]; [7189; 11296]; [5434; 10525]; [1673; 2891]; [8324; 8602]; [7553; 9479]; [3084; 8763]; [565; 10040]; [9508; 9557]; [1282; 8146]; [5014; 7845]; [5640; 10751]; [5860; 6553]; [590; 4620]; [171; 9332]; [1343; 3137]; [902; 5646]; [7099; 7215]; [2835; 8409]; [4146; 5002]; [3740; 4314]; [2267; 8891]; [1837; 3645]; [5386; 10053]; [3330; 6136]; [3794; 10966]; [1707; 7736]; [10268; 11123]; [301; 703]; [7315; 8910]; [2864; 3862]; [9486; 11087]; [4782; 7845]; [3839; 6952]; [828; 1351]; [8895; 9865]; [144; 10518]; [4440; 5829]; [4288; 7687]; [769; 9789]; [9126; 9239]; [1471; 11027]; [5552; 10880]; [3899; 3970]; [2343; 6792]; [5990; 8073]; [8132; 11010]; [1126; 6828]; [6549; 9757]; [6567; 10336]; [1064; 9333]; [1246; 8815]; [9988; 11082]; [659; 5083]; [6070; 6497]; [5503; 9833]; [4541; 11142]; [4577; 6635]; [2865; 3282]; [1141; 8240]; [3355; 6327]; [1731; 5073]; [2039; 2974]; [9177; 9527]; [736; 3990]; [204; 6381]; [6439; 11440]; [7112; 10028]; [8765; 10522]; [4375; 6127]; [7551; 7823]; [5457; 9838]; [10436; 10841]; [476; 1592]; [9753; 11565]; [8352; 11292]; [3660; 7313]; [5091; 11178]; [1169; 9857]; [5424; 10829]; [4961; 9607]; [4114; 4258]; [5167; 6477]; [2372; 7856]; [9712; 11160]; [3614; 7318]; [2898; 7902]; [64; 7101]; [2829; 2847]; [1141; 10468]; [8501; 8732]; [6192; 6621]; [2331; 8986]; [6818; 10281]; [9891; 10344]; [362; 9949]; [864; 11099]; [2423; 5542]; [5315; 9731]; [119; 3775]; [872; 8708]; [2971; 8565]; [1075; 2651]; [3819; 3936]; [2002; 2287]; [4891; 10342]; [9414; 11294]; [823; 10694]; [534; 4175]; [6349; 10368]; [4926; 6364]; [3210; 11183]; [287; 1265]; [2585; 11131]; [560; 2363]; [3997; 9284]; [182; 7106]; [875; 11234]; [2463; 7169]; [4827; 8987]; [1023; 7722]; [5412; 5476]; [405; 2425]; [1277; 8770]; [3756; 8848]; [7740; 8768]; [1176; 4931]; [6750; 8029]; [4470; 10820]; [5774; 6996]; [6079; 11015]; [1886; 3751]; [2543; 2560]; [2885; 5707]; [506; 2857]; [4839; 9347]; [9570; 10248]; [231; 3561]; [7505; 11503]; [10122; 11515]; [1913; 5547]; [4637; 5456]; [1557; 3468]; [1688; 7149]; [3399; 6867]; [1711; 7318]; [3244; 3546]; [123; 5721]; [3429; 8961]; [5535; 9989]; [435; 10911]; [4540; 11158]; [6942; 7044]; [932; 4547]; [6912; 10585]; [2671; 7067]; [1802; 4403]; [5747; 10811]; [4664; 9881]; [546; 3730]; [4407; 6283]; [4372; 9480]; [1977; 6097]; [2761; 6179]; [3413; 8054]; [2759; 3100]; [2977; 10907]; [8610; 10448]; [1566; 9946]; [1160; 9258]; [2292; 4388]; [5272; 8424]; [3522; 7997]; [5244; 6376]; [10526; 11352]; [7355; 7748]; [2291; 10579]; [3031; 4727]; [6356; 11427]; [2903; 5481]; [4792; 7972]; [2273; 9249]; [7536; 10011]; [31; 8360]; [7637; 10063]; [5; 723]; [7881; 10423]; [1088; 7288]; [2335; 9346]; [4885; 7382]; [1748; 9778]; [8090; 8318]; [7441; 10124]; [3; 3279]; [2360; 3926]; [493; 2914]; [3571; 4075]; [2894; 7997]; [6039; 10380]; [6712; 6716]; [5595; 6202]; [4385; 9661]; [1169; 9320]; [3817; 4481]; [7017; 10735]; [5905; 10565]; [9509; 11018]; [1388; 4897]; [2071; 4173]; [3893; 6196]; [5804; 6726]; [1509; 6355]; [8751; 9124]; [3494; 11560]; [5263; 9785]; [9810; 11131]; [4889; 7100]; [1752; 9496]; [2686; 10303]; [6939; 11202]; [9316; 10973]; [7585; 8344]; [2734; 5806]; [6524; 8893]; [5777; 7912]; [830; 11328]; [5899; 9595]; [6556; 7650]; [7065; 9971]; [3639; 11510]; [4319; 4853]; [2603; 10426]; [2890; 9702]; [798; 6128]; [2444; 3199]; [8080; 8673]; [8264; 11234]; [2321; 10713]; [3868; 10057]; [4742; 6649]; [5679; 7727]; [9251; 9423]; [3346; 5222]; [3566; 9692]; [3748; 8420]; [4703; 10858]; [3285; 7198]; [5514; 6347]; [8623; 9073]; [1940; 7988]; [5008; 7707]; [1123; 7766]; [281; 1263]; [1153; 3444]; [336; 970]; [3152; 10991]; [3637; 3866]; [4474; 11156]; [1186; 2803]; [10263; 11210]; [4041; 11274]; [7211; 8237]; [5648; 8390]; [3246; 9498]; [1945; 7177]; [10217; 11215]; [1946; 4369]; [5404; 11413]; [6550; 9659]; [5588; 6804]; [9222; 10132]; [315; 8737]; [2622; 10021]; [3359; 3898]; [8718; 11538]; [4217; 6373]; [532; 858]; [8716; 10711]; [690; 7860]; [8497; 9095]; [756; 5447]; [9710; 10071]; [2748; 5407]; [346; 7269]; [5788; 10248]; [2180; 5889]; [6039; 7615]; [1868; 2584]; [5663; 8267]; [5030; 8354]; [1606; 6556]; [4886; 8575]; [1180; 1429]; [1075; 3887]; [651; 8255]; [4691; 5855]; [6621; 10599]; [2347; 6941]; [3663; 3878]; [2598; 10724]; [6457; 9444]; [7678; 10281]; [8134; 10332]; [5901; 10660]; [8348; 8571]; [5371; 8216]; [2586; 3924]; [7076; 8146]; [8629; 11442]; [40; 6007]; [9158; 10251]; [5519; 11497]; [8069; 10287]; [7413; 10922]; [6; 9806]; [8564; 10266]; [8222; 9748]; [332; 1870]; [3177; 10377]; [3571; 10304]; [4010; 4716]; [799; 10381]; [9013; 10277]; [1807; 10171]; [773; 4996]; [3761; 7395]; [2472; 11500]; [5832; 8587]; [4651; 11286]; [6201; 10147]; [4329; 8791]; [6419; 11538]; [4575; 5814]; [10343; 11407]; [932; 2400]; [5603; 6256]; [2647; 6778]; [2588; 9581]; [9059; 10221]; [6106; 10260]; [230; 10961]; [1614; 2205]; [7153; 8500]; [8381; 9754]; [1750; 5449]; [4140; 6236]; [4790; 9536]; [4230; 8381]; [1321; 2333]; [7585; 11540]; [364; 3986]; [6872; 9389]; [8174; 8902]; [2849; 7262]; [5875; 7479]; [2514; 10167]; [479; 711]; [8293; 9533]; [46; 7245]; [7926; 8019]; [1732; 3715]; [2501; 2765]; [4494; 5579]; [2063; 2539]; [3081; 8709]; [724; 1646]; [11236; 11408]; [4455; 9788]; [2650; 3238]; [6909; 11499]; [3387; 9166]; [7972; 10996]; [522; 9052]; [472; 3273]; [3886; 4383]; [2141; 4300]; [2361; 6518]; [5232; 9830]; [1211; 10028]; [4326; 7284]; [9135; 10350]; [6082; 10939]; [3313; 11287]; [5142; 9563]; [4094; 4682]; [9006; 10879]; [162; 4171]; [1760; 4958]; [982; 4664]; [484; 10049]; [6570; 10878]; [288; 6727]; [7509; 7865]; [718; 5557]; [3674; 5035]; [4670; 7474]; [4619; 10138]; [1526; 1529]; [1677; 8114]; [3955; 4496]; [1830; 9110]; [351; 1010]; [3016; 10138]; [4224; 5852]; [1634; 2001]; [3925; 9168]; [1451; 3048]; [2259; 7688]; [2644; 7499]; [2639; 7155]; [1414; 3166]; [1195; 1550]; [9942; 11331]; [5721; 8435]; [1447; 2525]; [1202; 8356]; [7769; 9458]; [1472; 3521]; [721; 11466]; [3619; 10939]; [4395; 4744]; [5107; 8922]; [7163; 10587]; [1153; 4680]; [5110; 6187]; [3429; 4399]; [8043; 11131]; [215; 4131]; [9528; 9597]; [8026; 9272]; [5421; 10775]; [404; 620]; [4078; 5976]; [6559; 8379]; [5196; 9344]; [4440; 10529]; [5107; 9272]; [364; 4604]; [3225; 7228]; [2354; 10153]; [2812; 7998]; [6189; 9950]; [79; 10255]; [2290; 9579]; [3712; 9194]; [4247; 6320]; [888; 9835]; [690; 2680]; [2594; 6957]; [1508; 2346]; [9221; 10362]; [415; 10554]; [8973; 10260]; [5893; 9026]; [845; 10138]; [2048; 5508]; [809; 4065]; [55; 5323]; [3549; 7860]; [3308; 5519]; [1933; 10631]; [3397; 8220]; [2903; 7685]; [864; 7155]; [8594; 10614]; [750; 10251]; [5294; 11326]; [5777; 7538]; [8309; 11384]; [2454; 6546]; [1301; 4123]; [6557; 10130]; [7278; 10644]; [2976; 8348]; [1983; 10344]; [3253; 6936]; [2136; 11340]; [6207; 10505]; [54; 2038]; [3106; 7640]; [3068; 4904]; [3379; 9492]; [2627; 7413]; [6892; 7575]; [6417; 10500]; [5396; 10448]; [3142; 6546]; [5328; 9001]; [4827; 11459]; [5799; 8586]; [278; 2870]; [717; 3671]; [7972; 10809]; [3547; 4730]; [6967; 8284]; [8035; 8125]; [1421; 11371]; [4043; 7563]; [8365; 10511]; [3200; 3868]; [1486; 5350]; [247; 3907]; [464; 2444]; [6369; 6645]; [2822; 10109]; [3939; 4207]; [1454; 10730]; [5628; 6610]; [893; 1803]; [5306; 10531]; [332; 3456]; [7270; 8443]; [1418; 8040]; [4429; 7225]; [2352; 8847]; [573; 3518]; [6711; 10142]; [1092; 8055]; [9440; 11149]; [3552; 10335]; [4856; 5757]; [3679; 5192]; [3001; 6260]; [8226; 10702]; [1877; 8739]; [884; 10735]; [3804; 4140]; [528; 9410]; [2804; 9129]; [8057; 9203]; [1222; 10730]; [3512; 3739]; [3171; 7610]; [9641; 10277]; [6028; 6328]; [1298; 8281]; [9300; 9984]; [7901; 11292]; [2648; 4802]; [6343; 11035]; [3970; 11383]; [3593; 9181]; [1829; 11300]; [4556; 5064]; [6030; 9757]; [1753; 5828]; [3776; 5101]; [502; 618]; [5613; 10408]; [6610; 9285]; [3112; 9258]; [2284; 2431]; [413; 3929]; [98; 9021]; [4019; 5209]; [7718; 8932]; [2993; 11229]; [899; 10992]; [4739; 7750]; [6193; 6903]; [4663; 8694]; [4252; 6908]; [4690; 6353]; [5469; 10255]; [10042; 10570]; [5136; 7571]; [2724; 8745]; [7149; 8408]; [1643; 8642]; [3322; 10357]; [3038; 4182]; [4810; 8340]; [3595; 11455]; [2291; 2447]; [2387; 9325]; [9551; 9929]; [236; 8554]; [6765; 8418]; [1725; 9391]; [2682; 5486]; [4249; 6960]; [264; 6815]; [9006; 9082]; [919; 4797]; [2470; 11430]; [6661; 10697]; [7093; 11108]; [69; 3314]; [965; 10053]; [67; 2487]; [5139; 10851]; [3334; 10717]; [2706; 6230]; [686; 9140]; [9094; 11531]; [4798; 10558]; [2798; 9202]; [8149; 9811]; [3326; 9321]; [236; 7399]; [1211; 4043]; [5743; 8521]; [2485; 7924]; [5403; 11082]; [8672; 8805]; [2046; 4844]; [5678; 6591]; [4165; 10241]; [1073; 1076]; [10029; 11408]; [1013; 4408]; [1190; 5044]; [3117; 11025]; [3593; 10954]; [350; 1620]; [792; 1965]; [7698; 8949]; [310; 8637]; [538; 10716]; [6608; 11012]; [3363; 11431]; [526; 2785]; [6040; 11494]; [2272; 5722]; [4493; 5734]; [2867; 7063]; [1466; 7544]; [2985; 11256]; [6660; 10421]; [368; 4828]; [1766; 11219]; [1735; 8900]; [1556; 7437]; [5943; 10780]; [2488; 7417]; [6875; 9262]; [3628; 8854]; [603; 11491]; [2786; 10265]; [3065; 3264]; [114; 1878]; [487; 7344]; [51; 7191]; [7076; 11423]; [1011; 5809]; [507; 1580]; [3813; 4820]; [4778; 7192]; [4874; 7654]; [4800; 9425]; [5775; 6069]; [3332; 7930]; [787; 816]; [5699; 7013]; [10330; 10716]; [10868; 11523]; [6164; 8281]; [2982; 6770]; [8897; 9407]; [5875; 11561]; [3357; 9276]; [7834; 9883]; [4250; 10082]; [6805; 9216]; [3231; 4441]; [805; 1745]; [8975; 11168]; [47; 6267]; [9195; 9222]; [2753; 11232]; [1514; 9789]; [4413; 8733]; [6986; 7692]; [3213; 5740]; [666; 11385]; [1294; 4538]; [5614; 10823]; [853; 11211]; [1281; 9968]; [3430; 7660]; [2432; 9312]; [2394; 6576]; [4269; 5197]; [3488; 5386]; [3525; 10149]; [2732; 5817]; [5782; 11346]; [6692; 7595]; [7225; 10310]; [2704; 4523]; [3419; 5966]; [802; 6708]; [1889; 7757]; [777; 8341]; [493; 8582]; [4041; 5720]; [397; 2458]; [2950; 4175]; [1867; 3245]; [9356; 10055]; [3475; 6248]; [3628; 7244]; [4032; 4853]; [7574; 10844]; [3102; 4919]; [5108; 8749]; [9722; 11317]; [233; 7315]; [1570; 5883]; [3404; 10919]; [1995; 4369]; [1997; 5196]; [190; 4235]; [3070; 5381]; [948; 3096]; [1624; 6119]; [5705; 5972]; [884; 5555]; [6880; 9874]; [2157; 6582]; [2408; 10365]; [3361; 11222]; [2900; 3657]; [68; 273]; [7342; 7461]; [3955; 8928]; [1240; 5375]; [5875; 6568]; [3958; 6193]; [10649; 11303]; [3390; 6675]; [563; 3635]; [9088; 11529]; [5382; 6635]; [4728; 5845]; [7243; 7832]; [3349; 10057]; [8206; 10131]; [477; 6520]; [4043; 11377]; [671; 9769]; [917; 6792]; [2345; 11140]; [46; 9717]; [1823; 6305]; [7265; 8530]; [6086; 11302]; [546; 1372]; [360; 9318]; [5406; 11543]; [922; 10519]; [328; 3364]; [2754; 6814]; [600; 1608]; [4053; 8308]; [1283; 5802]; [8287; 9157]; [9247; 11185]; [2771; 3785]; [4993; 6651]; [1440; 9169]; [1381; 5556]; [2773; 3831]; [2895; 8924]; [6449; 10014]; [907; 9837]; [1813; 10848]; [3269; 4412]; [1280; 1717]; [1397; 3056]; [3105; 9673]; [3763; 4920]; [5186; 8924]; [3761; 8257]; [4635; 4849]; [3821; 8308]; [3998; 7446]; [5682; 9505]; [7056; 10584]; [990; 11161]; [3911; 11584]; [2120; 4740]; [5697; 6780]; [10471; 11515]; [1091; 4827]; [6047; 10542]; [6172; 9490]; [3925; 8257]; [6532; 7581]; [12; 10432]; [5053; 5897]; [134; 5699]; [7658; 10810]; [7286; 8952]; [5438; 5738]; [5637; 9331]; [708; 1275]; [6129; 9793]; [1062; 5937]; [6620; 10030]; [2229; 11449]; [4109; 11168]; [5594; 9634]; [7306; 7325]; [124; 4607]; [1197; 4068]; [1955; 9345]; [6652; 11416]; [947; 3893]; [10871; 11233]; [951; 10428]; [7202; 9604]; [3222; 9803]; [8855; 10098]; [6830; 7746]; [2600; 7770]; [6545; 7762]; [10495; 11104]; [1758; 2765]; [4585; 6559]; [4674; 9260]; [1186; 6511]; [3421; 9639]; [2330; 4684]; [1182; 2605]; [210; 3226]; [657; 3915]; [6388; 6997]; [5285; 10353]; [6941; 10364]; [4453; 10954]; [3732; 11194]; [4205; 6688]; [3107; 4726]; [3738; 7976]; [8153; 11115]; [6899; 10892]; [1789; 3956]; [3882; 11138]; [3872; 4034]; [1514; 5414]; [1258; 1287]; [6887; 10508]; [54; 8698]; [696; 5721]; [3373; 5784]; [8295; 10417]; [4549; 6878]; [825; 4788]; [3435; 10045]; [2380; 11163]; [3024; 4849]; [1941; 7329]; [3770; 6359]; [7825; 11407]; [1003; 6780]; [8442; 10063]; [2396; 8663]; [2334; 7031]; [4020; 9917]; [2086; 11066]; [7927; 11310]; [1831; 3377]; [9422; 10464]; [2047; 8105]; [1075; 4562]; [517; 5732]; [1888; 9546]; [7557; 9498]; [7083; 8861]; [508; 11281]; [2968; 7145]; [5927; 10304]; [693; 11034]; [7472; 9575]; [8597; 9950]; [3958; 11267]; [3557; 10923]; [2647; 8258]; [9380; 9807]; [258; 1657]; [4012; 11503]; [781; 3684]; [5137; 5462]; [6317; 9708]; [398; 7329]; [4413; 8814]; [2928; 3932]; [7253; 10561]; [3366; 7541]; [3547; 4169]; [4476; 6884]; [1335; 5374]; [5195; 9200]; [978; 10240]; [10038; 11096]; [7170; 7301]; [1201; 5559]; [1543; 8706]; [1608; 3439]; [6608; 9483]; [445; 6744]; [2910; 9368]; [4555; 5083]; [2748; 10538]; [4312; 5325]; [5339; 9329]; [690; 9958]; [4427; 5837]; [1681; 7889]; [4893; 5078]; [1498; 8182]; [4180; 9343]; [6206; 8133]; [3486; 11406]; [3985; 5869]; [1562; 9106]; [11457; 11544]; [2116; 10446]; [7536; 9694]; [10832; 11492]; [7437; 8934]; [9092; 10255]; [1855; 9358]; [5320; 6993]; [5196; 9401]; [1139; 3526]; [3112; 9852]; [5058; 8713]; [3573; 3831]; [2914; 4949]; [395; 6226]; [8920; 9956]; [4663; 5905]; [762; 11123]; [6899; 8477]; [860; 1078]; [22; 4143]; [2852; 7454]; [1450; 2075]; [3072; 9672]; [1955; 9158]; [8390; 10141]; [3662; 6505]; [730; 11585]; [6189; 10007]; [2784; 6007]; [358; 3311]; [3379; 10354]; [5330; 7307]; [9595; 9721]; [3178; 9317]; [1254; 11181]; [4218; 11274]; [8721; 10096]; [101; 9512]; [92; 7514]; [10145; 10538]; [2612; 7593]; [5767; 10664]; [4764; 11218]; [7622; 7909]; [6099; 6707]; [3516; 5525]; [4130; 7670]; [5904; 6239]; [6910; 8612]; [1459; 2137]; [6498; 9607]; [4010; 10197]; [2601; 5899]; [2174; 10750]; [233; 6591]; [5002; 10982]; [3065; 4313]; [3538; 4725]; [3784; 4000]; [5368; 5855]; [2171; 4036]; [4602; 7076]; [7957; 10235]; [9476; 10537]; [6052; 6487]; [5964; 6640]; [1439; 3363]; [76; 3574]; [5024; 5264]; [7582; 8079]; [2534; 5027]; [3833; 6521]; [3181; 8810]; [4364; 6157]; [3125; 8878]; [35; 6956]; [317; 5888]; [5012; 11296]; [5643; 8130]; [1689; 3888]; [2372; 3164]; [125; 2685]; [1868; 6105]; [7778; 10650]; [1217; 11248]; [153; 1700]; [187; 530]; [2210; 6219]; [7559; 8253]; [9427; 10621]; [4045; 8447]; [242; 10036]; [3015; 10561]; [3287; 8805]; [8698; 9465]; [1296; 3031]; [272; 5714]; [2605; 5967]; [5148; 9248]; [8052; 9290]; [6963; 8572]; [8083; 8603]; [4089; 10624]; [7604; 7622]; [1442; 6239]; [2906; 6080]; [5120; 11337]; [2563; 2708]; [2590; 10947]; [2766; 3067]; [1532; 1968]; [1471; 8108]; [1273; 3205]; [944; 5181]; [6324; 10692]; [8908; 10564]; [9801; 11370]; [7437; 9552]; [1952; 3493]; [6530; 10568]; [3042; 4813]; [1772; 8221]; [2611; 5758]; [7862; 11421]; [5632; 6385]; [2297; 10294]; [3720; 7882]; [3756; 7539]; [4034; 8981]; [6124; 10230]; [10136; 11444]; [1299; 8159]; [3653; 9289]; [6827; 10158]; [4869; 9782]; [9946; 11320]; [1639; 8981]; [4311; 8700]; [7232; 11375]; [1280; 6604]; [972; 2287]; [5400; 6385]; [1092; 7307]; [2284; 2488]; [2812; 9023]; [2960; 5511]; [1717; 6578]; [3489; 8484]; [5266; 6570]; [7282; 11088]; [3230; 4059]; [959; 8067]; [4818; 9039]; [3434; 10655]; [172; 1271]; [3036; 9828]; [4244; 9706]; [6608; 11524]; [851; 3057]; [2816; 5358]; [6487; 7033]; [1788; 8299]; [5215; 9614]; [2412; 10378]; [4432; 5970]; [130; 6680]; [4278; 5503]; [3922; 4178]; [1654; 4320]; [8479; 10376]; [1758; 8807]; [3329; 6293]; [2809; 4537]; [2000; 8340]; [3583; 3931]; [10890; 11259]; [2932; 9074]; [5048; 10790]; [3543; 4532]; [3329; 9676]; [5008; 11391]; [3415; 5286]; [2274; 4378]; [3826; 4066]; [1742; 6769]; [3327; 9603]; [3755; 5354]; [3512; 8602]; [4260; 6775]; [4592; 9234]; [808; 7093]; [2045; 7709]; [6126; 7562]; [1138; 8725]; [3438; 6586]; [3720; 6272]; [2345; 11384]; [3661; 9075]; [8017; 10853]; [10405; 10813]; [391; 11127]; [2810; 6236]; [7608; 9113]; [2249; 11272]; [1507; 4219]; [4480; 7084]; [5073; 8352]; [8304; 9755]; [38; 3253]; [65; 11492]; [1113; 9957]; [4141; 4585]; [2665; 3229]; [4452; 9173]; [1046; 2319]; [10422; 11517]; [1606; 6857]; [6026; 6176]; [1697; 6221]; [2139; 7320]; [3789; 4133]; [3515; 5062]; [2851; 5836]; [3843; 10031]; [328; 2453]; [6277; 6926]; [1858; 4045]; [762; 9326]; [1481; 1843]; [3026; 7530]; [5886; 9929]; [3277; 8280]; [875; 2972]; [2958; 3050]; [4131; 6125]; [5827; 9699]; [1152; 4943]; [674; 2689]; [780; 3085]; [1153; 2135]; [83; 1467]; [9743; 10424]; [1052; 4712]; [4450; 5289]; [6036; 10223]; [652; 806]; [7922; 9006]; [1043; 10261]; [9293; 9814]; [6614; 8924]; [293; 3347]; [5430; 5690]; [256; 9881]; [3893; 6310]; [2996; 8014]; [726; 11493]; [4427; 5463]; [1158; 5488]; [3525; 6823]; [6147; 7179]; [5015; 5633]; [6923; 7400]; [5395; 5854]; [997; 10266]; [3263; 9297]; [2053; 6340]; [7283; 11126]; [321; 10626]; [10837; 11462]; [596; 6889]; [656; 6940]; [3550; 5540]; [5071; 10079]; [1518; 6181]; [2490; 3308]; [6385; 6943]; [298; 8952]; [3043; 7429]; [1737; 4010]; [7172; 9982]; [145; 4923]; [3978; 4674]; [9752; 10112]; [4962; 5598]; [1446; 10627]; [3559; 9416]; [2750; 6803]; [5893; 8359]; [3441; 10858]; [6242; 6261]; [3379; 3564]; [1321; 9400]; [595; 8542]; [10594; 11303]; [3177; 5335]; [2308; 2671]; [4047; 5191]; [6413; 11219]; [2901; 7322]; [10296; 10333]; [11524; 11587]; [2548; 5514]; [1710; 8579]; [5297; 11307]; [464; 5965]; [593; 1649]; [407; 9595]; [1147; 9405]; [4142; 8811]; [10360; 11257]; [4732; 5644]; [4164; 6126]; [6469; 10747]; [3919; 10459]; [5032; 8565]; [4285; 7584]; [4594; 9093]; [3756; 5742]; [5779; 7267]; [2317; 9149]; [3965; 9299]; [5589; 11307]; [6489; 9120]; [7199; 10219]; [301; 8014]; [6829; 9188]; [4430; 10567]; [827; 7306]; [6269; 8033]; [199; 1321]; [7855; 8803]; [4302; 9069]; [8809; 11016]; [1989; 3806]; [1901; 8123]; [1120; 1142]; [2486; 4612]; [5013; 7360]; [3736; 9597]; [5575; 9315]; [2464; 5762]; [2392; 4196]; [869; 2994]; [26; 5715]; [6999; 9757]; [5595; 9967]; [3955; 8180]; [5096; 6836]; [994; 1942]; [3323; 11121]; [7748; 8532]; [7249; 7653]; [1648; 10279]; [4587; 7898]; [9731; 10658]; [9268; 9436]; [7229; 8125]; [344; 9565]; [4855; 9002]; [4803; 8812]; [9500; 10883]; [1372; 10007]; [2502; 10726]; [5140; 5199]; [2122; 11259]; [1752; 3812]; [5234; 8998]; [4418; 5214]; [1147; 4412]; [596; 1091]; [1745; 6024]; [1743; 2945]; [7471; 11391]; [3452; 6000]; [496; 6522]; [494; 10613]; [1764; 7205]; [6192; 10549]; [203; 9683]; [616; 5126]; [764; 1614]; [1861; 4105]; [636; 5778]; [4314; 10876]; [5964; 7689]; [10002; 10878]; [102; 5844]; [3723; 8156]; [5397; 9527]; [8540; 11083]; [3750; 5815]; [750; 10202]; [4029; 8613]; [2331; 8376]; [668; 11301]; [286; 8755]; [8338; 9821]; [1746; 4690]; [4230; 11528]; [2145; 2709]; [7910; 11037]; [928; 2745]; [7157; 9487]; [1959; 2704]; [2893; 9927]; [1202; 6697]; [1663; 5594]; [50; 7882]; [2015; 3767]; [3756; 6360]; [6462; 11325]; [3936; 5015]; [4522; 10774]; [8455; 8477]; [2505; 6785]; [1908; 2365]; [3367; 6026]; [6450; 6777]; [5920; 9995]; [2615; 3947]; [8597; 10812]; [4060; 10154]; [947; 6528]; [6210; 7290]; [4739; 6278]; [1026; 4377]; [3615; 8757]; [3556; 11560]; [3708; 8167]; [2084; 6913]; [3230; 5913]; [2926; 8131]; [5508; 11340]; [9121; 9627]; [7748; 9150]; [5434; 6695]; [4439; 7864]; [3539; 3635]; [9679; 11086]; [4215; 6658]; [3999; 10975]; [5088; 9441]; [3689; 9995]; [2319; 9789]; [5624; 9421]; [1575; 8325]; [1946; 10712]; [7352; 11028]; [561; 8720]; [3181; 8249]; [5328; 11530]; [505; 4624]; [2623; 3003]; [1835; 6185]; [6764; 7825]; [2273; 9794]; [6763; 7600]; [627; 3274]; [4511; 10160]; [7405; 8006]; [464; 4973]; [1147; 1997]; [2107; 4779]; [3724; 11278]; [5403; 6577]; [5840; 7332]; [1456; 3506]; [485; 2817]; [8955; 11004]; [4813; 6711]; [1795; 6355]; [397; 10517]; [3563; 10771]; [4994; 8220]; [794; 6955]; [696; 4168]; [5370; 10951]; [3705; 6690]; [1525; 7433]; [977; 2875]; [4616; 6547]; [3774; 7958]; [4889; 7645]; [3927; 8954]; [3619; 4637]; [4025; 5325]; [3017; 6289]; [408; 10302]; [7217; 7554]; [26; 1340]; [8559; 9849]; [589; 6149]; [8465; 9433]; [5003; 11315]; [3016; 3031]; [3076; 3836]; [5125; 10746]; [5161; 6239]; [3767; 7137]; [2084; 2270]; [477; 1397]; [2384; 5191]; [2812; 8112]; [3696; 5392]; [4940; 7933]; [5205; 9170]; [5800; 6347]; [7141; 11450]; [1441; 3517]; [5637; 8046]; [389; 1900]; [1318; 2363]; [6474; 8920]; [9614; 10959]; [4171; 4345]; [5764; 11204]; [3823; 7045]; [378; 11540]; [8083; 9115]; [2644; 5653]; [2427; 5618]; [3987; 11583]; [3881; 4771]; [3010; 7696]; [66; 9733]; [1027; 2537]; [777; 8024]; [5352; 9166]; [728; 10791]; [2264; 6536]; [6405; 10604]; [8177; 8346]; [9949; 10252]; [608; 9908]; [9720; 10954]; [506; 9631]; [2935; 5428]; [10844; 11104]; [7728; 7961]; [3681; 6938]; [8782; 9624]; [2283; 11100]; [840; 1556]; [8897; 10513]; [2980; 11213]; [3083; 6430]; [4972; 11173]; [63; 5247]; [1150; 6296]; [6649; 9809]; [8834; 10164]; [5938; 10737]; [8457; 10214]; [2454; 2472]; [3734; 6168]; [1272; 7979]; [1489; 6516]; [772; 6875]; [791; 11089]; [5001; 6626]; [3232; 9155]; [488; 700]; [4629; 11184]; [10905; 11356]; [1173; 10602]; [6116; 9696]; [3062; 7431]; [176; 8692]; [2156; 11301]; [2399; 4643]; [2428; 3129]; [5244; 6734]; [3995; 4603]; [3234; 4690]; [5604; 10460]; [5785; 6334]; [1740; 2728]; [8601; 9939]; [6918; 11488]; [8475; 11520]; [4609; 9377]; [8403; 9954]; [5106; 10183]; [624; 2816]; [4271; 6349]; [5103; 9131]; [1249; 2087]; [5067; 7222]; [3358; 9802]; [2484; 6794]; [10362; 10905]; [1979; 11008]; [2079; 2544]; [2879; 6569]; [5253; 9829]; [2832; 7477]; [4472; 9264]; [4480; 6873]; [3193; 8422]; [4689; 11184]; [1817; 9899]; [6483; 10405]; [7763; 8439]; [2976; 6852]; [3468; 7314]; [7795; 10606]; [448; 10295]; [8954; 9811]; [2678; 3253]; [107; 3586]; [3708; 6020]; [2591; 10424]; [5211; 9953]; [7945; 10550]; [7606; 11084]; [1030; 6486]; [3053; 8011]; [943; 7241]; [281; 2426]; [4166; 4619]; [2048; 6240]; [564; 10628]; [8871; 10715]; [8023; 8928]; [2212; 10778]; [4290; 9758]; [3352; 11461]; [181; 7857]; [3379; 3458]; [4605; 8049]; [333; 5218]; [1704; 1862]; [3942; 5261]; [6118; 7782]; [4903; 10897]; [4712; 11329]; [8447; 10545]; [8070; 8343]; [97; 5126]; [5652; 9672]; [2443; 5584]; [666; 1082]; [4719; 5303]; [2322; 7509]; [2687; 5944]; [7293; 8651]; [6895; 7824]; [2709; 4013]; [1155; 1246]; [2003; 3033]; [1841; 4203]; [10096; 11270]; [292; 1780]; [2710; 3834]; [2636; 5605]; [2331; 11385]; [2957; 10127]; [3697; 8439]; [9366; 9889]; [5792; 11530]; [3363; 9317]; [6072; 8137]; [10795; 11429]; [275; 6687]; [2417; 3208]; [9956; 10105]; [3067; 11426]; [6993; 7204]; [3626; 6694]; [2421; 10497]; [5282; 6705]; [5927; 7409]; [2312; 2633]; [5871; 10483]; [785; 3941]; [5179; 6957]; [2193; 4604]; [1102; 9475]; [7531; 10643]; [4205; 5216]; [9593; 11342]; [6658; 10489]; [3146; 6592]; [7822; 10038]; [1874; 9173]; [5888; 7804]; [3085; 8568]; [6497; 8851]; [2806; 9907]; [6029; 6531]; [4728; 8374]; [29; 5476]; [2047; 10821]; [5686; 10329]; [10173; 10870]; [3260; 6879]; [4168; 9471]; [3411; 7048]; [983; 1273]; [153; 11369]; [81; 2633]; [8891; 9730]; [7456; 8375]; [8866; 11363]; [2080; 9399]; [10007; 10019]; [4561; 10304]; [4282; 4473]; [1694; 9363]; [6241; 8457]; [1033; 7402]; [8670; 10670]; [974; 3789]; [1975; 8824]; [220; 8053]; [722; 9203]; [1878; 8891]; [9591; 10491]; [431; 6021]; [5355; 7317]; [960; 4830]; [1113; 5826]; [1643; 2608]; [3579; 11304]; [649; 10795]; [4164; 7793]; [2858; 2876]; [9363; 11014]; [7558; 10880]; [616; 1987]; [4201; 11058]; [8306; 9053]; [8182; 10707]; [2389; 9753]; [6330; 6593]; [366; 10857]; [5782; 6199]; [5118; 6973]; [3879; 5530]; [732; 6484]; [2531; 9055]; [824; 3040]; [607; 4503]; [98; 2182]; [6386; 10285]; [10035; 10481]; [9750; 10497]; [2871; 6090]; [1993; 5592]; [4453; 7872]; [5262; 9704]; [5854; 7364]; [3288; 7317]; [3227; 9293]; [1270; 5355]; [10198; 11010]; [3408; 11556]; [82; 4631]; [2038; 10596]; [10587; 10970]; [2598; 3056]; [2407; 3488]; [6673; 8756]; [1121; 7891]; [7753; 9388]; [8539; 10297]; [2063; 2897]; [2584; 8261]; [6345; 6446]; [4020; 10218]; [257; 8954]; [2062; 3426]; [904; 7075]; [181; 9898]; [6882; 10034]; [996; 9293]; [6197; 9177]; [2212; 9786]; [4853; 10192]; [5850; 9069]; [2488; 8149]; [6743; 9875]; [3689; 6856]; [332; 7034]; [2567; 6752]; [3513; 9074]; [675; 7373]; [10692; 10740]; [4742; 9048]; [727; 6782]; [1190; 1588]; [2315; 6127]; [725; 10119]; [4835; 8458]; [1621; 8190]; [4458; 6256]; [7223; 9172]; [4647; 9161]; [9688; 11042]; [3994; 11225]; [2344; 8750]; [5234; 9860]; [4339; 8227]; [932; 7564]; [806; 11397]; [5388; 7294]; [6193; 8253]; [1592; 10054]; [938; 11516]; [413; 8662]; [1589; 9756]; [868; 9242]; [5689; 7407]; [1451; 9822]; [615; 3134]; [1456; 10166]; [5064; 7355]; [1731; 5675]; [8761; 10251]; [9974; 10473]; [9583; 10817]; [6739; 11580]; [1638; 9648]; [4779; 8125]; [4785; 11323]; [9632; 10709]; [1418; 4397]; [4737; 7899]; [4675; 7021]; [697; 3883]; [1228; 3519]; [4808; 9994]; [3306; 9669]; [3342; 9326]; [2093; 7195]; [5955; 7684]; [5621; 8562]; [509; 7969]; [6534; 10774]; [2341; 3510]; [5396; 9383]; [4326; 8715]; [5102; 8936]; [1062; 9084]; [7445; 9877]; [7106; 10411]; [6784; 7916]; [3673; 11533]; [335; 8755]; [216; 7343]; [710; 4468]; [4331; 6780]; [1741; 8591]; [901; 10829]; [270; 1163]; [2078; 4978]; [7363; 10225]; [7275; 7372]; [432; 9038]; [6120; 9040]; [1359; 9428]; [3819; 10954]; [115; 1225]; [3342; 5138]; [6301; 10549]; [9262; 10371]; [5272; 10636]; [2006; 10178]; [1290; 4346]; [1539; 5050]; [4612; 5113]; [2924; 5564]; [1036; 5927]; [8224; 9591]; [4580; 6329]; [5010; 11575]; [347; 1918]; [101; 3397]; [2671; 5091]; [6196; 6941]; [3830; 4296]; [1268; 1739]; [3735; 5190]; [6166; 8230]; [2800; 4158]; [1394; 10711]; [918; 7749]; [3445; 10497]; [7332; 7855]; [2581; 8931]; [3722; 6833]; [1480; 6698]; [3498; 7879]; [609; 3207]; [227; 7077]; [6682; 9436]; [698; 8914]; [11222; 11523]; [5393; 7906]; [2509; 3578]; [293; 8828]; [7786; 8210]; [2903; 3505]; [3040; 9630]; [2846; 7135]; [6669; 8450]; [6385; 8691]; [10118; 11244]; [4495; 10139]; [4526; 5288]; [5980; 10857]; [2690; 5841]; [4015; 6304]; [8003; 10130]; [2120; 9660]; [9093; 11450]; [3520; 5544]; [2116; 5754]; [2454; 5749]; [1927; 6986]; [5316; 11227]; [1962; 2254]; [618; 9685]; [4047; 5411]; [236; 7139]; [1648; 10954]; [2696; 8665]; [9177; 10747]; [2484; 4810]; [1171; 4384]; [3910; 6079]; [1601; 3968]; [732; 1304]; [6810; 7877]; [3844; 7711]; [2197; 11169]; [7481; 9802]; [10158; 10619]; [3341; 9342]; [51; 7736]; [2201; 11288]; [1472; 4497]; [4092; 11196]; [3686; 9754]; [5957; 9129]; [938; 10979]; [860; 9568]; [3214; 10698]; [5449; 10416]; [5793; 7974]; [1503; 3783]; [3762; 4272]; [4887; 8811]; [1427; 7356]; [8775; 9023]; [3076; 11114]; [4383; 10217]; [2008; 10492]; [370; 2362]; [2701; 8204]; [7209; 8124]; [710; 5436]; [3407; 6151]; [2440; 7116]; [9496; 9880]; [1622; 4390]; [3705; 10130]; [2213; 4077]; [7034; 8658]; [3635; 8610]; [1016; 5519]; [3293; 8092]; [5349; 5593]; [1357; 11447]; [5846; 9782]; [9640; 10359]; [3437; 10473]; [1205; 8774]; [3034; 7050]; [2745; 6947]; [5212; 5480]; [8192; 10270]; [883; 6279]; [8162; 11559]; [4370; 5393]; [2881; 9437]; [7069; 9941]; [818; 4349]; [2313; 10673]; [904; 4123]; [1401; 4175]; [2987; 3447]; [9404; 9486]; [316; 6582]; [27; 6479]; [4020; 10649]; [1649; 7660]; [935; 2655]; [2860; 7055]; [7161; 9126]; [5098; 10454]; [4110; 4126]; [2736; 6430]; [2605; 3503]; [1388; 9955]; [8050; 10163]; [770; 11074]; [1990; 8303]; [7585; 11524]; [5061; 8293]; [3595; 7625]; [6029; 7930]; [5031; 9582]; [4494; 5213]; [4089; 11543]; [8355; 10395]; [2870; 11506]; [7725; 9999]; [5177; 6374]; [6489; 6575]; [374; 6536]; [3263; 4792]; [2120; 9473]; [3059; 10624]; [9253; 9266]; [1345; 6444]; [6042; 8515]; [3528; 9382]; [4755; 10064]; [4884; 5748]; [6857; 7910]; [1059; 3606]; [5353; 10922]; [7660; 9954]; [1017; 3380]; [6164; 6411]; [1338; 6404]; [5476; 6791]; [2425; 4043]; [4130; 6979]; [4109; 6102]; [685; 4304]; [637; 880]; [2820; 4572]; [7773; 10770]; [2513; 9525]; [1264; 7394]; [4896; 9141]; [4223; 10553]; [2817; 9936]; [6552; 9152]; [8171; 10816]; [7205; 8219]; [3524; 11491]; [912; 3155]; [3747; 10974]; [3869; 5487]; [2210; 5178]; [3605; 7134]; [6750; 9517]; [55; 6917]; [254; 10510]; [4416; 9039]; [2678; 10881]; [1241; 8699]; [6366; 9527]; [459; 4499]; [932; 4157]; [7952; 8045]; [9206; 11274]; [895; 11445]; [4066; 8633]; [5551; 7099]; [454; 7538]; [710; 5249]; [1070; 3340]; [1672; 1688]; [3408; 6189]; [5364; 10656]; [3165; 6431]; [6681; 11201]; [697; 9925]; [6151; 8003]; [6822; 9928]; [2935; 6908]; [1065; 2215]; [1102; 11142]; [2035; 2679]; [40; 8837]; [998; 3622]; [8404; 8677]; [2034; 8843]; [98; 9192]; [2025; 4593]; [2143; 6534]; [2733; 9783]; [4; 3114]; [364; 7621]; [3885; 5565]; [4936; 9963]; [2140; 5482]; [240; 8494]; [1119; 5430]; [2418; 7678]; [6249; 10766]; [707; 10589]; [110; 6169]; [1233; 10635]; [101; 2673]; [7330; 8590]; [3899; 5621]; [604; 6677]; [3969; 11278]; [3972; 10795]; [874; 1842]; [5672; 11135]; [6890; 7537]; [3428; 9419]; [3113; 8095]; [970; 11349]; [6410; 7085]; [9221; 10346]; [2647; 6575]; [8086; 9283]; [2989; 3306]; [5255; 8753]; [1337; 9830]; [6252; 9882]; [3948; 5863]; [1456; 4799]; [2264; 9439]; [4416; 10812]; [488; 7791]; [5125; 9811]; [3750; 10759]; [2322; 6411]; [3846; 4805]; [10408; 11225]; [3591; 9948]; [3632; 9949]; [7739; 8771]; [5435; 7758]; [1445; 3105]; [3929; 9943]; [2654; 5837]; [8163; 10038]; [9259; 9675]; [3407; 10770]; [1700; 7761]; [1222; 4753]; [2691; 9102]; [2; 7524]; [6203; 6583]; [1913; 8808]; [856; 6093]; [9; 1498]; [318; 8669]; [7412; 8534]; [2405; 5483]; [5788; 7280]; [10177; 11450]; [4447; 11222]; [4511; 7265]; [2298; 11278]; [7059; 10890]; [8393; 9160]; [9084; 10209]; [3172; 11253]; [622; 6801]; [2826; 4200]; [11193; 11508]; [274; 9501]; [5809; 8507]; [207; 1109]; [243; 7936]; [4432; 10540]; [2076; 2167]; [1570; 10697]; [990; 8136]; [9424; 10250]; [8581; 8807]; [6215; 10326]; [9236; 10199]; [1387; 5328]; [2192; 9697]; [4038; 10586]; [2446; 5083]; [5090; 9170]; [5704; 10561]; [13; 10261]; [2616; 5679]; [2989; 11145]; [1238; 1448]; [9022; 11559]; [746; 4369]; [2743; 11089]; [155; 9563]; [7022; 10957]; [1519; 9954]; [306; 1064]; [6157; 8412]; [1726; 11186]; [3883; 8739]; [2885; 10391]; [114; 7660]; [603; 4441]; [360; 11099]; [1067; 2101]; [4675; 6460]; [5612; 6784]; [7291; 8499]; [1754; 3004]; [4145; 6645]; [1414; 9729]; [664; 4313]; [1254; 5310]; [8385; 10692]; [94; 2470]; [2371; 11459]; [1523; 9672]; [7064; 9624]; [5534; 11415]; [9207; 9753]; [2323; 11418]; [10480; 10780]; [4661; 7851]; [5930; 11388]; [4075; 4721]; [1571; 6306]; [4467; 11368]; [1656; 1691]; [720; 4221]; [6788; 10106]; [5950; 9007]; [293; 2656]; [7603; 9501]; [6791; 7371]; [5992; 6200]; [655; 2291]; [1090; 2219]; [3204; 8026]; [2027; 7461]; [1218; 4848]; [6825; 9584]; [5510; 9085]; [2965; 11393]; [7383; 7633]; [2051; 11238]; [10012; 10688]; [339; 4879]; [1994; 2036]; [2763; 7502]; [3375; 5814]; [8436; 9825]; [301; 1362]; [2446; 8734]; [7432; 10908]; [5062; 10773]; [919; 10042]; [2569; 11019]; [8104; 9271]; [7297; 8239]; [6421; 10820]; [5834; 7088]; [2501; 5408]; [8447; 9610]; [572; 2764]; [3899; 11045]; [9074; 9708]; [8090; 8814]; [6135; 7201]; [684; 726]; [5208; 10948]; [2767; 6466]; [6703; 10102]; [6168; 6560]; [499; 5110]; [1629; 5829]; [4702; 9275]; [342; 10007]; [1485; 5326]; [2677; 6923]; [1517; 7493]; [954; 9073]; [3965; 5225]; [1817; 10387]; [6767; 10652]; [2567; 9387]; [1094; 1132]; [2804; 8576]; [794; 840]; [3120; 6338]; [8197; 8630]; [876; 3124]; [2118; 8248]; [4306; 8120]; [13; 3658]; [2310; 4254]; [7967; 9107]; [879; 10188]; [24; 7230]; [1304; 9428]; [3182; 7566]; [2272; 4901]; [6062; 7988]; [1788; 2078]; [6407; 9154]; [5624; 7762]; [8612; 10161]; [2943; 4547]; [6709; 9492]; [272; 7682]; [5740; 8876]; [1392; 5461]; [1758; 9002]; [1689; 11117]; [7945; 9883]; [2845; 10805]; [1508; 8827]; [947; 10480]; [2723; 5712]; [3626; 4954]; [3003; 7981]; [7232; 7732]; [2103; 10168]; [4061; 11298]; [2438; 5728]; [4748; 11447]; [1350; 8618]; [10816; 10916]; [7874; 8138]; [730; 2494]; [405; 2734]; [6110; 11011]; [2502; 6652]; [1165; 2422]; [1024; 8633]; [3080; 6134]; [2651; 10158]; [2055; 9346]; [10052; 10705]; [6198; 7825]; [1344; 7268]; [7994; 10125]; [5033; 10303]; [8095; 10931]; [1022; 4773]; [1831; 4353]; [5786; 5787]; [5691; 8933]; [1945; 11056]; [1417; 2269]; [236; 4968]; [10137; 10604]; [7950; 9422]; [2263; 6612]; [3620; 5832]; [814; 3669]; [1135; 5939]; [7231; 7456]; [1966; 5867]; [5615; 10227]; [3003; 4143]; [340; 1534]; [7101; 11547]; [8255; 10408]; [4831; 9364]; [8721; 9649]; [8163; 10819]; [7931; 11250]; [2456; 2469]; [5126; 5525]; [2450; 8316]; [2059; 8660]; [6904; 11383]; [6465; 10555]; [4597; 9318]; [1287; 2172]; [4340; 11382]; [4288; 4776]; [7390; 10495]; [1757; 4538]; [7582; 10665]; [7926; 10475]; [3408; 4205]; [1407; 6411]; [3905; 5011]; [9280; 10178]; [687; 837]; [5834; 10284]; [129; 2007]; [9339; 10758]; [4640; 7860]; [2491; 7916]; [635; 10446]; [5907; 8318]; [442; 10805]; [7073; 8694]; [4978; 11238]; [9527; 10405]; [2767; 9662]; [5002; 9380]; [9150; 10455]; [839; 10626]; [4793; 9206]; [3878; 5443]; [7463; 8098]; [1572; 7767]; [5689; 7277]; [4443; 11079]; [2664; 5750]; [3190; 5042]; [951; 7834]; [6859; 10054]; [2346; 3374]; [176; 4805]; [4193; 7117]; [1287; 11166]; [3876; 4966]; [1003; 4991]; [2336; 6069]; [2461; 11433]; [9847; 10918]; [2225; 2266]; [4520; 6199]; [628; 9251]; [1927; 5083]; [7159; 10696]; [1754; 6818]; [4858; 6194]; [6; 48]; [3139; 7332]; [8443; 8849]; [3822; 5110]; [3768; 8257]; [9143; 9260]; [8184; 10086]; [6651; 8196]; [8311; 9861]; [765; 1793]; [5045; 5239]; [1769; 4093]; [2577; 8733]; [146; 5693]; [8394; 10835]; [6465; 8945]; [1299; 10745]; [2192; 5135]; [5368; 6831]; [7300; 8992]; [4179; 4751]; [576; 1490]; [3810; 7328]; [4873; 6071]; [3587; 10474]; [3098; 8031]; [2466; 10972]; [5083; 10984]; [2872; 5998]; [3646; 11054]; [282; 1393]; [2403; 10623]; [6570; 9496]; [2772; 5013]; [315; 7168]; [7871; 11036]; [1278; 3051]; [1517; 8729]; [994; 3292]; [2014; 3119]; [2855; 10151]; [3512; 8960]; [124; 6819]; [5535; 8233]; [4356; 6841]; [493; 8379]; [3067; 5311]; [4968; 5153]; [1472; 1789]; [3498; 7749]; [330; 10078]; [483; 11074]; [5304; 10737]; [2229; 7595]; [4126; 4285]; [1693; 4582]; [4798; 9818]; [2346; 5147]; [2189; 11579]; [5582; 7648]; [10463; 11526]; [3307; 4367]; [442; 11423]; [5005; 10296]; [1813; 8067]; [3205; 10506]; [60; 1707]; [7382; 10821]; [4174; 7335]; [5529; 5728]; [3481; 6590]; [4716; 10543]; [2319; 6333]; [3912; 9028]; [913; 5716]; [3371; 11333]; [8942; 9996]; [320; 8585]; [2069; 8787]; [8170; 10648]; [2816; 4106]; [1472; 4367]; [2755; 6082]; [876; 3555]; [5516; 11508]; [8597; 9934]; [1555; 3089]; [4580; 4589]; [5263; 8029]; [4332; 10903]; [3979; 9095]; [7624; 9549]; [833; 7241]; [3510; 7304]; [9579; 9627]; [9137; 9282]; [6461; 9821]; [2481; 5856]; [3253; 8587]; [5123; 7618]; [4650; 4954]; [1286; 10377]; [7762; 11361]; [3378; 7535]; [9257; 10515]; [7079; 7921]; [6588; 8061]; [6984; 8815]; [9509; 11490]; [1593; 8807]; [4891; 11432]; [4805; 5996]; [701; 10855]; [3373; 4158]; [3151; 5277]; [3839; 9815]; [7975; 9375]; [881; 3094]; [2247; 6564]; [1593; 5774]; [4355; 7638]; [5998; 6690]; [1742; 7745]; [6152; 10540]; [3769; 4508]; [2420; 5179]; [3421; 7208]; [2710; 8136]; [1512; 1806]; [2547; 9835]; [6339; 9585]; [362; 3818]; [6494; 7244]; [1726; 4209]; [4659; 8399]; [5891; 8671]; [3874; 11098]; [4927; 9153]; [4748; 7690]; [4147; 5780]; [260; 6924]; [320; 6975]; [4989; 6998]; [2862; 10785]; [263; 9824]; [6316; 8261]; [7157; 8877]; [4330; 5083]; [3327; 6391]; [6255; 10237]; [8713; 9438]; [1299; 2987]; [6911; 8821]; [8592; 11363]; [1051; 3639]; [1458; 1519]; [1138; 5513]; [3569; 9307]; [1946; 10907]; [3314; 8034]; [2290; 8465]; [4416; 10869]; [4750; 9991]; [8586; 10013]; [319; 6349]; [365; 6694]; [2188; 7407]; [1109; 7377]; [9033; 9951]; [5177; 6244]; [4394; 9016]; [6758; 10834]; [416; 6632]; [99; 10897]; [5333; 6757]; [3311; 8086]; [3891; 4231]; [7065; 11516]; [7412; 8591]; [2276; 9856]; [4332; 11521]; [2343; 4662]; [1247; 9189]; [3169; 4246]; [2804; 3559]; [2449; 11504]; [6525; 11013]; [1081; 7207]; [2744; 8389]; [303; 4661]; [2851; 9040]; [2519; 3575]; [5132; 9103]; [5465; 8000]; [3161; 6987]; [5062; 6829]; [795; 8506]; [55; 7942]; [4930; 7841]; [8161; 9998]; [8109; 9808]; [730; 3543]; [7858; 9408]; [102; 3974]; [3651; 10382]; [191; 9681]; [1975; 8938]; [227; 2922]; [1591; 5565]; [7157; 10300]; [4734; 4869]; [2984; 10858]; [2999; 5474]; [4924; 10628]; [8599; 9039]; [65; 1059]; [8437; 8711]; [150; 9276]; [1855; 3544]; [6689; 8330]; [2422; 5843]; [2570; 5741]; [5780; 8519]; [3848; 7112]; [3005; 5669]; [2258; 3934]; [5272; 7554]; [1536; 3949]; [1730; 4946]; [4118; 7912]; [2561; 4874]; [448; 6839]; [1483; 10704]; [9575; 9671]; [444; 2933]; [1202; 8210]; [3838; 8272]; [3186; 4145]; [352; 10514]; [4951; 11296]; [4268; 7856]; [4428; 9269]; [6637; 7766]; [1816; 3939]; [219; 3754]; [4608; 7924]; [64; 6849]; [781; 5709]; [2004; 6619]; [130; 4436]; [1434; 4022]; [1559; 9386]; [5937; 9233]; [560; 6649]; [8335; 9881]; [4779; 6466]; [2863; 8945]; [6839; 10502]; [1739; 5008]; [858; 7245]; [641; 3046]; [7043; 8053]; [5494; 5630]; [4437; 9331]; [2874; 8730]; [422; 649]; [5766; 6503]; [3183; 10239]; [4055; 6004]; [7881; 8748]; [200; 5151]; [5487; 11225]; [5564; 5995]; [3612; 8817]; [584; 1357]; [4139; 10963]; [2732; 5240]; [8332; 9559]; [517; 9180]; [4531; 7811]; [6494; 9285]; [8108; 9851]; [4448; 6056]; [1540; 9278]; [667; 9878]; [2754; 6692]; [696; 8364]; [859; 10048]; [3125; 8325]; [6203; 9486]; [6860; 7541]; [8606; 10478]; [447; 11043]; [4824; 5030]; [2246; 10608]; [4051; 4326]; [7600; 11488]; [2777; 3828]; [5244; 7279]; [2001; 8525]; [6013; 6329]; [223; 6050]; [5604; 11005]; [4613; 7412]; [2517; 6348]; [4046; 10748]; [6852; 7249]; [1281; 2170]; [6260; 9589]; [1967; 5127]; [5940; 7921]; [248; 11183]; [1924; 2047]; [1607; 6312]; [8961; 11177]; [2017; 8627]; [5253; 10374]; [797; 4228]; [4532; 7608]; [1228; 6666]; [4867; 10338]; [1820; 4326]; [1078; 10105]; [3382; 5456]; [1500; 2658]; [98; 9330]; [6431; 10760]; [2780; 10491]; [2150; 3679]; [2191; 3680]; [197; 641]; [8756; 10371]; [4112; 4928]; [2902; 8387]; [4581; 10102]; [1551; 5979]; [3613; 10842]; [6593; 11468]; [1950; 2463]; [957; 8623]; [5840; 9918]; [3968; 7808]; [4914; 6720]; [2886; 9732]; [5152; 8763]; [1272; 6914]; [4474; 9831]; [2359; 10969]; [1363; 6278]; [6151; 10719]; [3324; 6925]; [1077; 6446]; [1815; 9593]; [5094; 8758]; [5051; 5678]; [2124; 11102]; [2664; 8572]; [4183; 5868]; [4518; 7844]; [7697; 9811]; [2582; 8947]; [1878; 4630]; [6640; 7096]; [1189; 7037]; [8680; 10510]; [3482; 3727]; [4576; 8953]; [4229; 8091]; [4568; 8311]; [4850; 11407]; [1118; 5292]; [4509; 4698]; [3881; 5129]; [3410; 8927]; [10354; 11477]; [5435; 11279]; [6243; 9503]; [4595; 10484]; [5514; 6095]; [1286; 9198]; [4767; 5114]; [4612; 7455]; [2626; 5031]; [2316; 10467]; [2595; 3466]; [1251; 3727]; [2380; 11391]; [2750; 10170]; [214; 8834]; [5040; 9595]; [1926; 6525]; [6662; 8524]; [5413; 5639]; [3824; 6069]; [3113; 11161]; [1036; 8619]; [4267; 10022]; [587; 4851]; [5814; 10120]; [642; 4558]; [2670; 10591]; [836; 5555]; [239; 7551]; [3454; 10673]; [7052; 7174]; [3509; 11511]; [3220; 7244]; [2817; 10237]; [691; 1417]; [3262; 10853]; [4193; 7979]; [2388; 7845]; [103; 10292]; [2751; 5453]; [9442; 10563]; [1727; 5884]; [4557; 6943]; [787; 10924]; [4896; 6409]; [100; 9994]; [156; 11057]; [686; 1423]; [11244; 11530]; [8097; 9074]; [248; 1197]; [1237; 1711]; [3022; 10992]; [5321; 5999]; [4610; 6173]; [4471; 9801]; [1706; 6885]; [4694; 11536]; [3085; 8308]; [6720; 8074]; [1259; 3163]; [3911; 11275]; [3593; 6270]; [4816; 7180]; [1519; 7409]; [3411; 10171]; [4058; 7538]; [1503; 9158]; [1420; 6649]; [8299; 9558]; [1535; 4909]; [3188; 5403]; [2756; 5746]; [352; 10945]; [135; 5992]; [4204; 4330]; [3022; 3421]; [5945; 6923]; [4140; 6789]; [4578; 10398]; [1278; 6946]; [1532; 7994]; [8684; 11247]; [4174; 9002]; [5041; 10839]; [5072; 10152]; [1218; 3108]; [1989; 2985]; [2853; 5305]; [1146; 1542]; [4822; 9977]; [115; 802]; [6529; 7324]; [1654; 5890]; [5596; 9371]; [1835; 2518]; [145; 8558]; [3970; 4284]; [5814; 8510]; [1046; 7727]; [2541; 6881]; [4354; 4624]; [1888; 11197]; [8662; 9394]; [6060; 11168]; [1917; 3267]; [368; 7260]; [4023; 4295]; [5652; 6647]; [167; 2840]; [544; 3544]; [3276; 3314]; [7792; 9511]; [3098; 11121]; [880; 8374]; [8039; 9388]; [6731; 10060]; [8317; 8578]; [3181; 9843]; [2589; 5767]; [1756; 9176]; [856; 7199]; [1314; 2415]; [2530; 8570]; [5075; 7016]; [9407; 10652]; [8321; 9451]; [9959; 11165]; [5071; 9526]; [1624; 6778]; [4074; 7616]; [279; 1152]; [36; 7810]; [3795; 5168]; [2850; 9864]; [6346; 6812]; [2550; 10326]; [3663; 8432]; [2412; 9638]; [9571; 10652]; [5094; 10799]; [1606; 11460]; [3158; 11148]; [9414; 10668]; [6855; 7628]; [5898; 9281]; [2257; 3284]; [2418; 10557]; [7788; 11216]; [6041; 8054]; [3021; 11035]; [4461; 10482]; [2215; 6441]; [7526; 9903]; [5948; 8994]; [3511; 7637]; [1778; 3407]; [9900; 10130]; [86; 6368]; [2897; 9629]; [9822; 10247]; [5469; 5734]; [3160; 3623]; [2974; 5153]; [7645; 8255]; [3753; 10553]; [6060; 6175]; [3265; 10964]; [2286; 10414]; [8141; 8836]; [8760; 10571]; [3414; 8054]; [2166; 8777]; [5361; 10523]; [1720; 10942]; [6978; 11360]; [4087; 10779]; [3053; 5604]; [5792; 6545]; [821; 10321]; [8670; 11028]; [9243; 10166]; [1249; 8324]; [2990; 10917]; [3525; 8043]; [4679; 11068]; [68; 2355]; [3495; 3670]; [5795; 7947]; [492; 10038]; [8814; 11157]; [24; 1302]; [4082; 10031]; [1737; 8263]; [2546; 4460]; [4949; 5452]; [7148; 9677]; [8710; 10053]; [7244; 9385]; [3918; 8876]; [3665; 10682]; [9358; 11028]; [8114; 9241]; [4404; 4605]; [1885; 5882]; [4411; 9159]; [1849; 9608]; [1816; 7216]; [2530; 5805]; [5300; 9065]; [6239; 10216]; [2349; 7679]; [2497; 3413]; [6393; 7650]; [779; 5907]; [2341; 6283]; [8220; 9263]; [9508; 11322]; [1344; 4373]; [307; 435]; [1558; 9028]; [9362; 10746]; [5250; 9328]; [361; 3300]; [4660; 10960]; [3325; 7557]; [395; 2884]; [9613; 11496]; [212; 3177]; [2144; 3086]; [3510; 6556]; [1521; 3861]; [5564; 7394]; [7399; 9622]; [83; 4460]; [831; 9049]; [2717; 7859]; [456; 6920]; [3040; 6792]; [700; 3116]; [9853; 11333]; [6230; 11577]; [7593; 9114]; [191; 4932]; [10681; 10963]; [7515; 7703]; [5182; 7450]; [1999; 2331]; [1029; 5277]; [2214; 4205]; [2253; 9795]; [3497; 5166]; [3149; 10118]; [5976; 7496]; [1375; 9297]; [9771; 10927]; [5206; 8975]; [2028; 10616]; [1595; 10734]; [2294; 8291]; [403; 9137]; [6726; 9879]; [5358; 5582]; [1961; 6361]; [8616; 9562]; [1305; 11160]; [4096; 8127]; [4505; 6834]; [671; 6858]; [8802; 11415]; [640; 5293]; [9363; 9762]; [4895; 7019]; [540; 8095]; [4034; 10632]; [9206; 9778]; [607; 9317]; [4130; 11094]; [2872; 11129]; [3692; 10868]; [4556; 6772]; [450; 8552]; [4646; 6665]; [3123; 4709]; [4148; 5634]; [2842; 2969]; [375; 2901]; [3427; 9257]; [6290; 6292]; [3946; 7378]; [1212; 4529]; [804; 2260]; [803; 9205]; [2016; 5263]; [5536; 6769]; [4600; 9299]; [732; 10493]; [1076; 3887]; [8610; 10440]; [2297; 4724]; [862; 3369]; [7956; 8869]; [5303; 6948]; [5246; 10578]; [7318; 8612]; [3467; 5249]; [9134; 10036]; [7169; 8489]; [3518; 7466]; [6073; 6600]; [3953; 7394]; [5453; 6892]; [2277; 2944]; [375; 11545]; [5387; 8524]; [1901; 4350]; [2706; 7938]; [4113; 4993]; [9827; 10380]; [334; 5478]; [4410; 4987]; [1433; 4632]; [6094; 11210]; [7024; 11117]; [7764; 8675]; [585; 6228]; [7703; 10651]; [3627; 4726]; [425; 1809]; [951; 7517]; [1316; 2542]; [8913; 10575]; [10038; 10950]; [4840; 10583]; [6270; 9342]; [6638; 8048]; [2226; 8590]; [756; 4016]; [7762; 8198]; [73; 4740]; [5237; 11158]; [6538; 7063]; [3081; 10043]; [3867; 10952]; [32; 7368]; [1245; 10596]; [1393; 4078]; [1272; 6003]; [7815; 8209]; [220; 4386]; [2269; 11296]; [4452; 10824]; [3069; 5495]; [6933; 10975]; [1824; 9899]; [8486; 10107]; [1734; 4721]; [3843; 5266]; [2793; 6728]; [7053; 8798]; [3623; 9372]; [1572; 10028]; [2379; 4644]; [2630; 8427]; [10059; 11022]; [1848; 1975]; [1720; 2729]; [1775; 2436]; [1291; 6753]; [9159; 10176]; [2177; 10552]; [1750; 4823]; [750; 9812]; [1813; 8555]; [3233; 6626]; [2181; 11425]; [126; 10362]; [147; 4823]; [2393; 8083]; [2758; 6518]; [1737; 6466]; [7872; 7911]; [4094; 4861]; [2856; 7026]; [6113; 9650]; [449; 8544]; [4057; 5733]; [5985; 8152]; [1943; 7473]; [6695; 10005]; [4026; 9803]; [5867; 9594]; [3652; 11282]; [3872; 7084]; [5797; 11484]; [2399; 5245]; [2409; 5933]; [4308; 9866]; [7009; 8071]; [2346; 4830]; [4703; 10395]; [8787; 9765]; [4078; 10343]; [2242; 10896]; [3890; 10292]; [6794; 9580]; [3826; 6335]; [5817; 9076]; [3007; 9423]; [4031; 6740]; [209; 4115]; [1663; 7432]; [1893; 10338]; [7935; 10838]; [6958; 11115]; [10328; 11142]; [6180; 10067]; [1758; 9921]; [6334; 7501]; [4522; 6196]; [231; 2561]; [4219; 6387]; [2469; 5960]; [6515; 9764]; [8564; 10258]; [4118; 5554]; [6081; 10438]; [6633; 10951]; [7254; 10103]; [3235; 4712]; [4704; 9061]; [1590; 1827]; [6543; 8025]; [939; 6970]; [3086; 11005]; [3308; 3470]; [4147; 7423]; [1148; 4865]; [5450; 9790]; [9017; 11142]; [4812; 9533]; [3009; 5308]; [684; 3418]; [3910; 4477]; [5501; 9755]; [7954; 10864]; [6493; 10540]; [3624; 7274]; [2722; 8634]; [7489; 9946]; [1384; 4179]; [7478; 11285]; [5613; 6936]; [2712; 4913]; [79; 4368]; [695; 6586]; [6582; 10181]; [4899; 10976]; [164; 3917]; [964; 4532]; [3229; 9754]; [6167; 8626]; [2676; 5606]; [279; 1396]; [1547; 7741]; [1798; 5108]; [4532; 5705]; [7095; 11116]; [490; 5780]; [298; 2577]; [4093; 8260]; [958; 4313]; [3781; 4201]; [4405; 7034]; [2349; 3117]; [5528; 10746]; [3840; 4781]; [940; 8618]; [3151; 7188]; [8968; 9290]; [3253; 10848]; [7816; 10475]; [3433; 9503]; [2924; 11346]; [1535; 6926]; [3985; 7764]; [5752; 11578]; [1970; 6854]; [5891; 8704]; [967; 7408]; [1828; 9430]; [3352; 7070]; [5812; 9350]; [6008; 7010]; [4439; 4709]; [4886; 6152]; [5161; 8077]; [7890; 8330]; [51; 7557]; [5990; 11342]; [5064; 8144]; [1640; 6346]; [3481; 6891]; [6934; 7175]; [7610; 9444]; [5896; 10926]; [5837; 7313]; [2126; 2829]; [1854; 4585]; [945; 2522]; [3188; 6265]; [657; 5273]; [5147; 10249]; [4992; 6928]; [8937; 9172]; [4778; 7908]; [1934; 2255]; [5646; 11101]; [5939; 7216]; [1281; 5073]; [1897; 7291]; [7504; 7863]; [4445; 5254]; [2363; 2368]; [163; 11504]; [2869; 3637]; [5125; 8396]; [1983; 5530]; [9713; 9743]; [4947; 9787]; [3111; 9586]; [2925; 11116]; [7118; 11210]; [4857; 6861]; [7780; 10363]; [7023; 7940]; [4959; 9797]; [3219; 3642]; [4471; 10208]; [8227; 9547]; [2444; 11193]; [1355; 6311]; [9190; 9594]; [2292; 7389]; [4842; 5425]; [6821; 7432]; [7949; 11488]; [5480; 5712]; [4862; 6831]; [158; 3589]; [1386; 4843]; [1319; 3621]; [6109; 8135]; [7788; 9850]; [5546; 8961]; [3775; 8411]; [3095; 8652]; [7878; 9743]; [1061; 8466]; [2339; 9083]; [4703; 9403]; [6871; 7145]; [25; 966]; [3796; 6255]; [7438; 8690]; [776; 9236]; [8742; 9030]; [6629; 10995]; [9588; 9990]; [4827; 10378]; [7442; 9563]; [4600; 4737]; [899; 5105]; [4319; 8659]; [1759; 9935]; [6285; 10404]; [1486; 7302]; [5751; 9716]; [2136; 9104]; [3667; 3751]; [3851; 10476]; [305; 3585]; [6048; 6704]; [110; 6527]; [1543; 4803]; [1500; 8139]; [4115; 7324]; [10100; 11454]; [3906; 7150]; [1932; 7769]; [6918; 9943]; [4299; 6852]; [7038; 7793]; [6203; 11129]; [1521; 9366]; [10146; 11048]; [4602; 10044]; [932; 8971]; [2618; 7693]; [2210; 10342]; [1489; 10582]; [4911; 10799]; [1148; 3873]; [3381; 6174]; [559; 3478]; [6464; 7679]; [5662; 6237]; [8170; 11217]; [1950; 7944]; [4624; 8490]; [5961; 7058]; [556; 9596]; [6936; 10118]; [4758; 5272]; [2820; 5548]; [361; 6122]; [9576; 11053]; [6431; 8670]; [868; 7616]; [2513; 4085]; [4844; 9927]; [44; 4725]; [5465; 6073]; [3653; 4768]; [7424; 10057]; [8071; 8178]; [7823; 8076]; [9218; 10032]; [2721; 8171]; [4618; 11277]; [1199; 3407]; [1159; 10424]; [7969; 10530]; [1651; 4470]; [6795; 10236]; [1279; 9028]; [1212; 7806]; [1802; 4639]; [6719; 11180]; [4179; 10826]; [4384; 7848]; [3864; 9502]; [7508; 9354]; [1531; 2833]; [3327; 5887]; [6035; 7515]; [8156; 9575]; [6747; 10195]; [10322; 11408]; [1047; 5645]; [455; 1569]; [2700; 6139]; [637; 7467]; [2722; 3454]; [7016; 10770]; [6868; 8620]; [9237; 10782]; [3812; 4774]; [8982; 9509]; [1793; 10538]; [7877; 10540]; [1915; 5051]; [9879; 11188]; [5581; 6382]; [4980; 5226]; [2399; 4871]; [1375; 4548]; [3147; 9460]; [1676; 8448]; [5822; 8696]; [9378; 9859]; [8308; 9945]; [6658; 6716]; [5476; 5807]; [9581; 10218]; [9646; 11367]; [3448; 9573]; [6280; 6541]; [7066; 7450]; [6992; 9221]; [5154; 6695]; [1795; 6046]; [3964; 5144]; [6902; 9678]; [2673; 3511]; [80; 5805]; [787; 3223]; [7863; 8898]; [10073; 10249]; [5956; 8487]; [135; 8895]; [1009; 5487]; [639; 6708]; [11119; 11297]; [3117; 3178]; [7801; 11403]; [1729; 8028]; [4774; 10961]; [7159; 7240]; [8290; 10813]; [97; 3126]; [6788; 8236]; [3080; 6679]; [7757; 11481]; [245; 2243]; [1709; 7002]; [8333; 10136]; [4454; 11141]; [4442; 9626]; [6097; 6783]; [21; 6672]; [4754; 8400]; [2724; 5704]; [6643; 7481]; [6302; 7188]; [445; 5687]; [6114; 7137]; [8545; 8679]; [4159; 10442]; [7387; 8164]; [3469; 9995]; [5243; 8564]; [5234; 10730]; [1354; 2465]; [1004; 10754]; [1011; 1345]; [2439; 5693]; [6201; 6732]; [36; 7330]; [779; 11575]; [1878; 10729]; [1754; 2557]; [7282; 10218]; [3488; 8143]; [8751; 8905]; [5224; 6228]; [1256; 7942]; [6996; 8134]; [1638; 4102]; [844; 2521]; [242; 4173]; [2614; 10770]; [723; 4446]; [4797; 7292]; [334; 7145]; [423; 10600]; [7282; 10568]; [1116; 1896]; [2476; 7049]; [4031; 4756]; [7578; 10337]; [5393; 10736]; [4188; 8123]; [327; 10488]; [692; 4759]; [4902; 7466]; [1318; 7665]; [100; 683]; [6115; 7688]; [2632; 8693]; [1254; 3708]; [8012; 10794]; [7692; 11378]; [1902; 4683]; [4928; 5654]; [6209; 9952]; [1560; 4919]; [2895; 6070]; [4237; 4982]; [71; 2547]; [4450; 6029]; [7870; 10337]; [4955; 10860]; [2457; 5844]; [590; 11248]; [6158; 6230]; [4552; 9689]; [1204; 6223]; [11236; 11376]; [1804; 4498]; [2227; 6321]; [6714; 7616]; [6712; 10953]; [7873; 10985]; [5008; 10871]; [1239; 5628]; [272; 2429]; [1395; 6141]; [1130; 10596]; [6281; 11117]; [4185; 10053]; [8414; 9804]; [6239; 10891]; [3930; 8780]; [1008; 6634]; [1120; 6875]; [8449; 9990]; [5233; 11147]; [5171; 8017]; [1215; 9364]; [6951; 10538]; [1559; 6922]; [683; 9503]; [2087; 9293]; [4926; 8186]; [750; 5063]; [6696; 9265]; [9433; 10133]; [6938; 8798]; [2763; 9283]; [7251; 10426]; [10668; 11053]; [1272; 3832]; [5773; 8243]; [6999; 9424]; [7307; 7325]; [77; 1183]; [1078; 6218]; [734; 6408]; [5154; 9891]; [8956; 10329]; [5365; 10111]; [4317; 5984]; [136; 8179]; [800; 8159]; [1753; 9016]; [4153; 10491]; [6641; 8403]; [7365; 7680]; [2907; 7877]; [6011; 8007]; [8419; 9343]; [3710; 9921]; [3720; 4947]; [798; 10715]; [2782; 10814]; [8977; 11556]; [8853; 9800]; [3371; 7422]; [2645; 7318]; [501; 2800]; [2703; 10706]; [4136; 8982]; [872; 5187]; [8217; 8835]; [2515; 11409]; [2214; 8263]; [3327; 7123]; [5505; 9717]; [2050; 2190]; [33; 11033]; [592; 6301]; [5822; 11087]; [1669; 3252]; [8127; 9292]; [5870; 7371]; [5276; 7386]; [5439; 8316]; [552; 10285]; [795; 3627]; [7642; 8496]; [827; 1630]; [4999; 8017]; [9701; 10432]; [9510; 10864]; [8794; 11448]; [105; 1645]; [6087; 6258]; [36; 3760]; [569; 10639]; [194; 11516]; [2102; 6113]; [9283; 10858]; [2628; 6159]; [2086; 7862]; [7664; 7696]; [3216; 8581]; [95; 4340]; [2376; 4403]; [753; 10167]; [8592; 10940]; [249; 1774]; [5147; 8265]; [7292; 11473]; [5570; 6678]; [6910; 8173]; [2653; 10538]; [3851; 5564]; [6171; 11217]; [1720; 6169]; [7038; 10802]; [6410; 7069]; [2337; 5579]; [1055; 6718]; [1746; 10773]; [376; 10567]; [5820; 7203]; [3103; 9993]; [54; 8072]; [2454; 3131]; [730; 3925]; [3224; 11451]; [704; 6087]; [1634; 10158]; [101; 8268]; [1852; 11549]; [1840; 10034]; [4204; 5436]; [6721; 8250]; [5482; 6053]; [7379; 9159]; [1004; 6729]; [4555; 9800]; [5852; 8969]; [4389; 7818]; [1894; 7237]; [3270; 11395]; [6071; 6798]; [2513; 2556]; [3693; 6802]; [3225; 5236]; [2705; 2726]; [8059; 9268]; [52; 805]; [8238; 11485]; [1949; 10327]; [3048; 9481]; [8676; 8678]; [3232; 5626]; [1539; 5733]; [2514; 8793]; [1409; 9824]; [2126; 2268]; [2721; 10025]; [1719; 7771]; [7983; 10562]; [3845; 10175]; [5012; 10052]; [8382; 8581]; [4120; 5684]; [808; 4881]; [1778; 8351]; [6260; 8548]; [9384; 10054]; [284; 5635]; [11113; 11132]; [869; 2124]; [4707; 8635]; [8217; 9453]; [130; 11584]; [8709; 9915]; [4445; 11109]; [5349; 9041]; [8580; 10444]; [2642; 3851]; [5618; 11151]; [2103; 3573]; [4071; 5391]; [9733; 9834]; [3164; 6407]; [1366; 3280]; [7866; 8822]; [3279; 10329]; [1269; 9763]; [5773; 11439]; [8667; 10039]; [1161; 11169]; [4746; 5156]; [2781; 2855]; [230; 11010]; [2405; 3507]; [5426; 8298]; [4201; 6561]; [118; 3629]; [6139; 9668]; [3954; 9313]; [8064; 8406]; [2455; 6253]; [3580; 4376]; [2580; 5201]; [811; 11140]; [6380; 9730]; [4317; 11058]; [8114; 11152]; [5218; 9473]; [741; 9620]; [5500; 8405]; [7176; 10603]; [3320; 9148]; [2110; 10355]; [9897; 10938]; [4226; 7907]; [2106; 6449]; [6767; 8863]; [1849; 5103]; [6086; 8879]; [6218; 11250]; [6961; 9079]; [3934; 10889]; [6353; 10162]; [6733; 10383]; [3335; 3390]; [597; 5303]; [4149; 9730]; [5613; 9571]; [11050; 11452]; [586; 4390]; [2987; 9473]; [4513; 10192]; [4262; 6409]; [5263; 9192]; [3174; 11551]; [1777; 6516]; [932; 1994]; [493; 1166]; [6351; 9685]; [2733; 5392]; [4033; 10494]; [2923; 4735]; [891; 5376]; [5932; 7257]; [8332; 9486]; [6408; 7186]; [9290; 10687]; [388; 591]; [549; 5612]; [3441; 9801]; [3575; 5829]; [6493; 8987]; [4303; 9042]; [7888; 10943]; [4053; 8113]; [7785; 7812]; [1663; 5074]; [7444; 7519]; [9078; 10215]; [2311; 6049]; [8575; 8840]; [5705; 11388]; [8353; 10713]; [411; 8307]; [5213; 8674]; [1617; 8112]; [6551; 10096]; [5985; 11405]; [220; 8712]; [6259; 9695]; [7907; 9091]; [2298; 7692]; [6188; 10983]; [10269; 10836]; [5314; 7975]; [6936; 8402]; [7159; 8639]; [3444; 5911]; [4293; 10552]; [4537; 10912]; [6244; 8259]; [237; 6033]; [3227; 4341]; [9732; 10981]; [5216; 10419]; [4068; 8340]; [546; 3755]; [293; 4063]; [224; 8430]; [2774; 6466]; [7259; 11098]; [3499; 9351]; [2004; 3781]; [1284; 11039]; [725; 2939]; [3705; 6975]; [2218; 7682]; [1967; 3899]; [1375; 3987]; [3613; 7386]; [905; 1594]; [6691; 8547]; [2673; 9016]; [2334; 2380]; [1093; 10690]; [1714; 7590]; [124; 4412]; [898; 10222]; [4017; 11384]; [8206; 8326]; [10231; 10678]; [3887; 9059]; [5026; 6888]; [6249; 7798]; [9764; 11212]; [2293; 9145]; [1959; 10023]; [951; 10233]; [3320; 6733]; [5837; 8793]; [6546; 7792]; [6709; 9476]; [3029; 3551]; [5432; 10959]; [1485; 7888]; [2849; 8279]; [1202; 10983]; [168; 10726]; [455; 10002]; [2315; 7591]; [4591; 7310]; [4421; 5209]; [8593; 10842]; [2409; 7226]; [3186; 10301]; [1003; 4357]; [402; 9617]; [10644; 11382]; [5322; 7007]; [2925; 9213]; [4633; 9414]; [1374; 5963]; [428; 1389]; [3509; 5477]; [2830; 9326]; [3544; 7915]; [4105; 6262]; [3227; 5764]; [4813; 11452]; [5739; 8234]; [5993; 11534]; [1860; 2823]; [6670; 8743]; [6148; 10324]; [2473; 4743]; [3942; 4928]; [9031; 10263]; [1567; 9367]; [3210; 4255]; [4113; 5749]; [601; 9022]; [3053; 6523]; [7329; 10227]; [6985; 10417]; [5149; 10970]; [1180; 4942]; [121; 2154]; [6576; 8677]; [2058; 2407]; [721; 3839]; [4599; 9779]; [1151; 3423]; [3484; 3676]; [5698; 8933]; [2892; 6016]; [6596; 10083]; [4483; 5632]; [990; 8201]; [5415; 5612]; [4971; 8604]; [954; 9675]; [2542; 4856]; [9233; 9966]; [7863; 9760]; [3353; 7515]; [6080; 6941]; [6613; 7404]; [5780; 6649]; [6669; 10719]; [2156; 8203]; [106; 8238]; [2840; 4671]; [7258; 7327]; [7418; 9494]; [6568; 6880]; [2739; 7248]; [1526; 4774]; [2279; 9707]; [596; 4840]; [3679; 5591]; [3335; 5781]; [4326; 9374]; [2638; 10579]; [6725; 11378]; [4129; 5827]; [796; 4147]; [592; 10733]; [709; 11318]; [269; 5384]; [6373; 6762]; [10915; 11174]; [10631; 11415]; [6622; 7466]; [4466; 6351]; [1828; 5462]; [507; 1011]; [1852; 10020]; [3106; 6079]; [670; 2695]; [3443; 9636]; [9035; 9176]; [5437; 5505]; [7235; 9386]; [4587; 7809]; [5079; 7517]; [2012; 4236]; [2163; 10821]; [4496; 11074]; [9538; 10147]; [5178; 10879]; [4269; 8816]; [9649; 10917]; [3326; 3759]; [3761; 10103]; [4296; 7229]; [1686; 1972]; [3417; 3877]; [4628; 9688]; [2018; 4431]; [11021; 11169]; [8680; 11055]; [4980; 7861]; [4978; 7034]; [3323; 3461]; [10580; 11426]; [5074; 6742]; [2361; 4770]; [308; 370]; [3976; 4780]; [648; 7608]; [1668; 9687]; [3326; 10525]; [8800; 9255]; [4839; 10258]; [302; 3184]; [1479; 3749]; [2282; 8045]; [726; 10867]; [5584; 8133]; [7944; 10209]; [855; 10688]; [3525; 9580]; [404; 6093]; [567; 7023]; [2681; 8666]; [5542; 11290]; [4021; 10915]; [2741; 6465]; [9308; 9819]; [7899; 9685]; [1736; 6946]; [4972; 8693]; [6477; 9289]; [529; 7670]; [5078; 9843]; [2637; 5361]; [3975; 10166]; [3037; 9617]; [2383; 4663]; [7608; 9105]; [1269; 8584]; [5123; 9212]; [2253; 2338]; [1915; 5726]; [301; 5160]; [5046; 9931]; [1539; 7132]; [10119; 10569]; [663; 3297]; [4831; 5778]; [3699; 4232]; [5474; 5655]; [341; 4185]; [7966; 10102]; [7274; 8828]; [4760; 10449]; [2827; 11069]; [3223; 4653]; [7333; 9408]; [3040; 4946]; [8637; 9748]; [4292; 5096]; [6398; 8376]; [2702; 9088]; [2141; 10741]; [4650; 8776]; [2281; 9997]; [1099; 2672]; [4897; 5620]; [4111; 5465]; [4439; 4742]; [10528; 11504]; [2936; 11362]; [284; 5879]; [688; 3488]; [7103; 7202]; [1890; 5803]; [1750; 9930]; [5475; 8458]; [339; 6717]; [2011; 7261]; [2551; 4731]; [4693; 7668]; [6152; 11329]; [1450; 2498]; [140; 8759]; [119; 7882]; [7273; 8552]; [9363; 11299]; [3260; 6359]; [794; 6516]; [6575; 6709]; [6826; 10492]; [5150; 6042]; [8756; 9574]; [1321; 7164]; [9160; 10566]; [2813; 6020]; [4113; 10368]; [1059; 8103]; [6850; 8984]; [690; 3510]; [1560; 9782]; [9216; 10848]; [687; 3212]; [2705; 4393]; [179; 10915]; [5812; 10456]; [2639; 6025]; [857; 10978]; [7235; 11427]; [1793; 2032]; [79; 3514]; [8069; 8620]; [4125; 11482]; [4495; 10261]; [5716; 10344]; [3304; 5102]; [883; 2750]; [6739; 10442]; [951; 6826]; [2940; 3105]; [9872; 11310]; [3961; 6540]; [807; 7077]; [5944; 9420]; [2714; 10871]; [2523; 4887]; [4398; 6514]; [1181; 2565]; [1841; 10717]; [2237; 4301]; [1311; 7519]; [370; 9705]; [1057; 9854]; [4037; 7474]; [6679; 9236]; [1547; 10620]; [5618; 9785]; [5628; 10473]; [6806; 7476]; [6641; 9883]; [4996; 6998]; [789; 10978]; [1408; 4045]; [2244; 4317]; [7572; 10392]; [1593; 3798]; [3874; 10277]; [223; 9254]; [2057; 7874]; [3213; 7562]; [3268; 8023]; [6239; 8533]; [2932; 8074]; [5265; 8327]; [4324; 10513]; [4833; 5664]; [3644; 10000]; [2128; 9969]; [6567; 7840]; [5753; 11299]; [1898; 10446]; [4487; 8410]; [8735; 8965]; [1054; 9532]; [4011; 5448]; [2925; 11417]; [6492; 8605]; [1571; 10990]; [3344; 5924]; [7089; 9992]; [1542; 9471]; [3872; 6043]; [6963; 11573]; [1139; 1884]; [4836; 11196]; [9003; 10069]; [2819; 6453]; [4806; 6069]; [8629; 11548]; [2872; 3835]; [879; 3650]; [1068; 6555]; [466; 8207]; [6720; 10310]; [9397; 10373]; [5584; 6336]; [3423; 10539]; [131; 8860]; [5202; 6419]; [5666; 11249]; [3882; 5576]; [1495; 8470]; [1676; 5098]; [6958; 10074]; [86; 1920]; [2887; 4493]; [3353; 5986]; [4075; 8600]; [5759; 10659]; [5470; 10556]; [152; 3671]; [3916; 7789]; [7268; 8021]; [2696; 4144]; [2694; 3317]; [7026; 11117]; [10717; 10815]; [9513; 11056]; [8331; 10147]; [5337; 7933]; [3964; 8210]; [3783; 5166]; [667; 2023]; [507; 4020]; [3991; 5869]; [5326; 7774]; [6487; 7806]; [4897; 11044]; [661; 7870]; [2376; 11494]; [2025; 10513]; [1746; 11098]; [817; 1967]; [3611; 9785]; [8619; 9274]; [8722; 10153]; [1967; 9754]; [59; 2325]; [4259; 6973]; [768; 3953]; [372; 3953]; [5188; 7436]; [4143; 9242]; [1459; 5756]; [2334; 5202]; [2537; 5561]; [2131; 4873]; [3011; 4663]; [10201; 11406]; [9394; 9620]; [8391; 10928]; [8764; 9224]; [1254; 7229]; [323; 3687]; [584; 8912]; [2497; 5381]; [4188; 8611]; [7; 5144]; [4864; 5218]; [7893; 9116]; [4863; 4993]; [1103; 10416]; [6382; 8705]; [1246; 3554]; [6939; 10316]; [3899; 8858]; [5565; 6204]; [5043; 7031]; [2708; 10115]; [1588; 3668]; [2448; 2836]; [4130; 10484]; [5470; 5563]; [2269; 10418]; [8399; 10765]; [2733; 8832]; [548; 2061]; [6585; 8633]; [5243; 10475]; [1136; 5237]; [5093; 6744]; [2326; 3755]; [757; 6372]; [1641; 3652]; [3492; 9823]; [3662; 8514]; [2943; 3165]; [1138; 8693]; [6984; 10035]; [2588; 4694]; [3312; 3971]; [196; 7244]; [1933; 5931]; [1556; 3729]; [1489; 2507]; [6703; 6760]; [10860; 11361]; [10402; 10483]; [5760; 5867]; [120; 5155]; [490; 3934]; [2091; 10654]; [7430; 9748]; [1978; 5300]; [424; 8949]; [7898; 9035]; [1262; 3632]; [4195; 7822]; [5165; 11292]; [7806; 9446]; [1672; 5193]; [6085; 9757]; [4785; 8038]; [5714; 8501]; [6242; 10872]; [2870; 10018]; [1973; 5306]; [3905; 7467]; [2372; 4823]; [1040; 7353]; [3306; 6384]; [4711; 9028]; [4140; 9993]; [2842; 4937]; [903; 8021]; [3712; 10455]; [6663; 9589]; [6764; 10395]; [2154; 10198]; [879; 6846]; [2059; 6928]; [2671; 5994]; [3646; 9054]; [7743; 9440]; [2392; 6579]; [2617; 9141]; [2087; 5943]; [1113; 5737]; [1739; 8643]; [3845; 5507]; [3237; 8068]; [4823; 6586]; [859; 8072]; [1762; 9566]; [2194; 9223]; [4821; 9923]; [554; 1020]; [4525; 8649]; [6868; 10344]; [4094; 9594]; [1162; 2596]; [8047; 10201]; [199; 5932]; [3466; 9244]; [1004; 11055]; [1101; 7955]; [5614; 7465]; [507; 7216]; [314; 7575]; [3053; 4352]; [5074; 9214]; [8131; 9498]; [8344; 10545]; [2052; 9116]; [6868; 9189]; [4380; 4861]; [1369; 5676]; [5133; 9794]; [152; 5712]; [2731; 5240]; [7364; 9770]; [5848; 9739]; [5779; 7690]; [1799; 8643]; [6408; 7861]; [4317; 7895]; [3821; 9943]; [5113; 8768]; [295; 2206]; [324; 7108]; [909; 10013]; [6208; 10432]; [167; 8622]; [1039; 2889]; [4650; 10175]; [3585; 10605]; [5887; 10791]; [97; 4850]; [3493; 11016]; [7003; 7670]; [3616; 9137]; [6942; 7394]; [2900; 6715]; [7155; 8441]; [6287; 8631]; [3704; 8203]; [490; 7935]; [1859; 2254]; [984; 7689]; [5846; 8107]; [1297; 6688]; [5751; 11253]; [2764; 3794]; [3158; 7131]; [2106; 5514]; [5390; 6551]; [4242; 10888]; [5395; 6895]; [479; 3208]; [3875; 9374]; [2034; 9583]; [2908; 10339]; [1232; 8141]; [5349; 6146]; [215; 1822]; [10113; 10193]; [3053; 9158]; [4817; 7039]; [1401; 9266]; [1580; 5067]; [2147; 6612]; [717; 6355]; [1322; 3496]; [5103; 9473]; [8212; 9947]; [922; 6006]; [3265; 6947]; [2826; 10283]; [5339; 9191]; [10029; 10091]; [506; 1597]; [517; 5139]; [1035; 6822]; [2819; 6079]; [7516; 8150]; [8132; 10368]; [10434; 11308]; [1535; 11309]; [6817; 9869]; [561; 4687]; [6517; 9577]; [1271; 6540]; [2551; 3820]; [1783; 8378]; [1907; 3718]; [307; 7022]; [28; 7607]; [10516; 10559]; [1839; 2271]; [810; 4610]; [1625; 10421]; [6035; 9052]; [274; 8013]; [3672; 7836]; [3973; 10982]; [895; 4159]; [215; 10816]; [7534; 9079]; [244; 2886]; [1823; 7403]; [3951; 6470]; [10100; 11031]; [3415; 9873]; [1734; 11495]; [8055; 11410]; [1047; 10565]; [419; 10996]; [5739; 5876]; [1599; 11078]; [2509; 7327]; [2693; 9888]; [2996; 7445]; [6588; 10517]; [6337; 6734]; [5184; 11481]; [4095; 6599]; [387; 11458]; [3940; 8940]; [6956; 9223]; [9750; 9871]; [3246; 11003]; [5615; 7503]; [5393; 8622]; [2406; 3415]; [3679; 10104]; [3459; 5634]; [7692; 9264]; [7728; 8921]; [5075; 7000]; [5352; 5588]; [4209; 10269]; [718; 7249]; [1962; 2620]; [4076; 4263]; [906; 3513]; [2515; 4489]; [3261; 8251]; [298; 5350]; [3262; 4689]; [170; 6104]; [1732; 6480]; [3447; 7852]; [8298; 9609]; [765; 4412]; [2064; 5906]; [9159; 9379]; [819; 6900]; [879; 4699]; [2183; 7291]; [7888; 8398]; [6231; 11168]; [6971; 8726]; [5135; 9279]; [8650; 10441]; [4603; 9418]; [5038; 9346]; [631; 10232]; [2086; 10741]; [1248; 9642]; [685; 10468]; [876; 7784]; [5606; 5831]; [19; 1747]; [8618; 8624]; [6412; 7392]; [2675; 7349]; [6627; 11518]; [622; 3703]; [1214; 1363]; [1675; 1758]; [706; 8312]; [10895; 11197]; [5878; 7458]; [1921; 5197]; [10171; 11166]; [7765; 9122]; [3818; 6051]; [4628; 11518]; [428; 3837]; [3091; 5722]; [1322; 7497]; [5282; 9275]; [4394; 8089]; [4679; 10702]; [1038; 11121]; [2377; 4100]; [695; 7749]; [3224; 7914]; [2967; 10732]; [2786; 7688]; [6043; 10312]; [317; 8328]; [470; 8570]; [6170; 10087]; [2457; 8186]; [592; 3837]; [2427; 10229]; [2798; 7698]; [1996; 7010]; [7961; 9010]; [5290; 5729]; [997; 8437]; [1957; 10465]; [4913; 9943]; [8522; 10740]; [2354; 7657]; [926; 6692]; [3849; 10194]; [4361; 4892]; [7757; 11058]; [4400; 11236]; [6239; 10200]; [71; 701]; [5604; 9460]; [1836; 7852]; [5482; 11160]; [255; 6645]; [183; 4325]; [3359; 6021]; [2920; 9357]; [1249; 7503]; [2266; 10819]; [6481; 6700]; [70; 11029]; [6381; 9502]; [378; 8930]; [2334; 8479]; [6716; 9226]; [3674; 4312]; [1771; 3643]; [6771; 9687]; [3610; 6771]; [1277; 6518]; [7338; 8980]; [4103; 10087]; [3048; 11205]; [3290; 10738]; [6117; 8116]; [3068; 5441]; [4969; 6037]; [7827; 9144]; [9172; 10983]; [4569; 8547]; [6649; 8354]; [1606; 5646]; [8576; 10171]; [109; 5665]; [2968; 5210]; [1728; 10712]; [4555; 7336]; [223; 3700]; [8130; 8549]; [1810; 5826]; [1500; 11262]; [4800; 11304]; [963; 7647]; [6; 8546]; [531; 820]; [5598; 8086]; [6816; 9406]; [5383; 6966]; [1425; 2982]; [2580; 11113]; [2604; 2839]; [1616; 5179]; [2397; 5744]; [5630; 7974]; [5819; 10879]; [6024; 7147]; [5098; 10365]; [335; 7674]; [1388; 6483]; [4913; 8333]; [3385; 6787]; [3502; 8126]; [8476; 8785]; [4830; 11489]; [1812; 11133]; [6136; 8492]; [3832; 6725]; [5179; 10145]; [3054; 9841]; [5106; 10606]; [10345; 10974]; [10840; 10953]; [961; 6015]; [1678; 1869]; [828; 10589]; [800; 8541]; [3; 7443]; [1426; 5031]; [3583; 9754]; [1109; 9296]; [3043; 5868]; [1510; 3224]; [6031; 7513]; [988; 4805]; [6774; 7594]; [8114; 9843]; [4473; 9508]; [4277; 10350]; [1737; 5832]; [2256; 8117]; [8355; 9151]; [757; 5811]; [5989; 7260]; [10; 10492]; [354; 3886]; [1401; 2126]; [131; 5534]; [5896; 7446]; [7262; 10916]; [498; 10431]; [3110; 5935]; [5164; 6773]; [2860; 5006]; [465; 1623]; [1557; 6022]; [502; 11304]; [4070; 11346]; [5391; 9381]; [3516; 6973]; [5658; 10664]; [2855; 11428]; [7862; 8063]; [6242; 6928]; [5084; 10577]; [3062; 6244]; [1790; 8825]; [453; 3841]; [3957; 7096]; [4961; 9396]; [5828; 8981]; [7724; 8479]; [74; 10611]; [8723; 10435]; [8908; 9434]; [3529; 10941]; [1127; 6387]; [1490; 10411]; [4549; 11522]; [3851; 6296]; [1428; 9533]; [6320; 9039]; [5040; 7595]; [998; 6916]; [2170; 7137]; [6091; 9741]; [7622; 8552]; [5748; 6369]; [4448; 6902]; [4498; 6265]; [890; 2660]; [6609; 7637]; [1113; 8559]; [5466; 6656]; [638; 5068]; [4127; 11425]; [7761; 10589]; [15; 5843]; [10438; 10652]; [2098; 5921]; [8159; 10635]; [6180; 8628]; [7042; 7869]; [2899; 7138]; [2620; 7723]; [1720; 5746]; [5; 2122]; [4858; 11122]; [3029; 6430]; [1224; 2132]; [1438; 10197]; [9498; 9626]; [1903; 11465]; [6717; 8459]; [2486; 5629]; [2200; 11459]; [1297; 3549]; [2179; 10582]; [1307; 4237]; [5508; 8356]; [5663; 6015]; [204; 1177]; [5408; 11158]; [1260; 3667]; [6645; 9522]; [107; 1244]; [7856; 9671]; [77; 2533]; [1885; 7102]; [8483; 9769]; [3197; 7303]; [3102; 10449]; [7111; 7982]; [4561; 7694]; [4117; 5768]; [2599; 9074]; [7673; 7685]; [3743; 7247]; [6886; 8803]; [7818; 9537]; [7916; 10072]; [4676; 10835]; [9184; 10001]; [2375; 7087]; [8412; 11407]; [7412; 11478]; [5794; 11170]; [2119; 6343]; [1644; 2852]; [364; 5572]; [2237; 9782]; [269; 2302]; [1392; 6014]; [1524; 7631]; [9640; 11156]; [5385; 10184]; [1517; 10624]; [844; 7872]; [3042; 5456]; [5187; 8664]; [3820; 5723]; [5267; 7869]; [1416; 6758]; [5616; 8023]; [6087; 7608]; [2152; 7580]; [1880; 2920]; [2473; 9850]; [357; 1718]; [8846; 9955]; [5577; 5816]; [3305; 6216]; [4086; 6781]; [786; 1077]; [6226; 9645]; [4612; 6073]; [6513; 6669]; [9157; 10756]; [9274; 11341]; [6949; 9451]; [9750; 11270]; [3086; 4573]; [987; 10408]; [4536; 10400]; [1857; 9510]; [3233; 11416]; [3389; 5513]; [707; 7735]; [3169; 6678]; [7072; 7198]; [8568; 9206]; [851; 3700]; [3841; 9178]; [4458; 7834]; [2957; 10363]; [3459; 9261]; [9118; 10777]; [532; 9023]; [7290; 8939]; [1648; 11564]; [1555; 8367]; [5121; 6084]; [5969; 7871]; [4205; 9990]; [327; 10496]; [5227; 7234]; [4046; 9179]; [4970; 5134]; [4070; 7321]; [3535; 3779]; [8543; 10438]; [1545; 10281]; [6115; 11079]; [1478; 9059]; [1949; 8644]; [1235; 2885]; [5746; 8738]; [2847; 3378]; [2948; 10600]; [1997; 4928]; [6339; 9252]; [3223; 6109]; [508; 2556]; [9630; 11460]; [719; 7694]; [1687; 9583]; [154; 1277]; [5673; 10330]; [5112; 7819]; [4367; 7665]; [1024; 10959]; [6041; 8282]; [567; 6519]; [433; 4075]; [687; 11539]; [3292; 3620]; [9958; 10363]; [6724; 8662]; [3264; 11371]; [1296; 3137]; [6963; 8678]; [6844; 7266]; [2818; 7120]; [4786; 8938]; [4776; 7496]; [5772; 9935]; [3597; 4606]; [2260; 6038]; [3936; 4072]; [4338; 7270]; [3813; 5170]; [487; 4661]; [2283; 6961]; [4304; 5407]; [7638; 10695]; [4114; 5283]; [5798; 11506]; [7257; 11003]; [1158; 3553]; [8418; 11035]; [5015; 10114]; [4483; 11007]; [3650; 10252]; [4025; 9375]; [1900; 3409]; [2705; 8532]; [2340; 7845]; [1316; 10528]; [9456; 11441]; [2964; 3508]; [8065; 10358]; [641; 3973]; [6320; 10275]; [1797; 3661]; [2696; 7665]; [5505; 7847]; [11012; 11221]; [3194; 4909]; [7118; 11194]; [1605; 10257]; [8647; 9932]; [10225; 10841]; [7362; 7390]; [8824; 10568]; [923; 9671]; [5658; 8062]; [4490; 11023]; [3565; 10679]; [1910; 7106]; [2042; 9477]; [3876; 8097]; [734; 10149]; [3556; 6429]; [2152; 7393]; [5023; 10705]; [3707; 6598]; [875; 2460]; [4140; 9863]; [4489; 10017]; [9460; 11159]; [1122; 3091]; [91; 1597]; [3148; 8297]; [8900; 10004]; [414; 1284]; [1004; 8697]; [2926; 3000]; [2024; 10776]; [9785; 10138]; [439; 8696]; [537; 9985]; [1282; 3723]; [6598; 8283]; [1148; 11078]; [3877; 11331]; [641; 3168]; [5873; 8781]; [4749; 11260]; [242; 2116]; [4070; 7939]; [145; 8599]; [2691; 3483]; [3403; 8415]; [2001; 3036]; [574; 1542]; [197; 5756]; [764; 8055]; [2686; 6522]; [1412; 1860]; [2240; 2271]; [906; 3220]; [1009; 4853]; [4607; 7770]; [656; 9461]; [2218; 3421]; [10585; 10729]; [5167; 5892]; [2457; 3437]; [4681; 9382]; [2522; 4586]; [2804; 7682]; [4361; 7714]; [4956; 11307]; [1537; 10607]; [2678; 9263]; [1654; 4776]; [3481; 7143]; [1053; 10036]; [4971; 5953]; [1079; 9005]; [2703; 3843]; [5039; 10029]; [1030; 6080]; [1589; 7764]; [529; 7784]; [10880; 11027]; [5532; 7683]; [4386; 6431]; [1321; 5505]; [2635; 8031]; [9173; 10647]; [2609; 6810]; [3753; 4983]; [2419; 10850]; [4251; 9397]; [201; 4693]; [3843; 11292]; [1265; 4792]; [8285; 8680]; [4682; 9583]; [5451; 7879]; [1903; 4325]; [8971; 10139]; [667; 7317]; [5760; 9388]; [1567; 2878]; [2181; 4269]; [5611; 9265]; [3553; 10937]; [6812; 7972]; [2020; 2631]; [4141; 11107]; [4387; 8130]; [2116; 2339]; [7475; 9979]; [5847; 11235]; [4205; 5615]; [4100; 8073]; [3945; 11168]; [2106; 5034]; [990; 8128]; [7065; 8768]; [6187; 8270]; [8019; 10981]; [3373; 11127]; [489; 6799]; [5057; 6770]; [2758; 9511]; [8573; 11540]; [4154; 8659]; [986; 10988]; [7008; 10112]; [716; 2267]; [6577; 11057]; [3611; 10891]; [7162; 7546]; [4954; 10405]; [9743; 10530]; [9003; 10720]; [5846; 6822]; [4170; 9542]; [2639; 3561]; [1274; 3699]; [2227; 2304]; [6192; 10842]; [3549; 9609]; [5256; 6956]; [393; 9319]; [9455; 11002]; [4290; 4359]; [3848; 4014]; [3813; 7211]; [5031; 7777]; [3472; 11082]; [74; 4089]; [3219; 6472]; [4590; 10286]; [3188; 4907]; [3277; 10614]; [51; 133]; [6867; 10607]; [4768; 5862]; [8534; 10807]; [1166; 3203]; [9216; 10612]; [6728; 7038]; [2626; 6308]; [2939; 4553]; [6147; 10668]; [7217; 10612]; [36; 5086]; [2895; 11047]; [4759; 5345]; [4760; 8953]; [826; 5363]; [5807; 7193]; [22; 7258]; [2381; 8732]; [5242; 11356]; [39; 10645]; [448; 2936]; [7976; 11172]; [4984; 9785]; [1353; 10892]; [686; 5733]; [629; 5199]; [6350; 6839]; [7193; 8282]; [4706; 7562]; [1347; 11077]; [3138; 6617]; [8308; 11352]; [935; 5656]; [2211; 3194]; [3752; 4975]; [8890; 10172]; [6154; 6496]; [338; 8002]; [4567; 7753]; [6239; 8297]; [7204; 11423]; [2060; 5657]; [1201; 3681]; [6154; 9879]; [2474; 3954]; [3753; 8179]; [5143; 9791]; [6331; 8236]; [3481; 9184]; [4088; 7876]; [4231; 7430]; [2920; 4421]; [2271; 6227]; [89; 10307]; [1734; 6022]; [1933; 9615]; [1713; 5145]; [4574; 7769]; [954; 2649]; [6127; 11065]; [4100; 7886]; [4289; 10791]; [2667; 3194]; [10755; 11087]; [8898; 10763]; [1054; 9646]; [278; 3009]; [4841; 9052]; [2353; 4724]; [4046; 4617]; [3949; 11100]; [336; 7151]; [6406; 9699]; [3691; 6146]; [6401; 8601]; [1050; 5740]; [540; 3948]; [1539; 5904]; [8949; 9947]; [50; 9948]; [4714; 9627]; [8409; 9444]; [7998; 8412]; [4080; 6079]; [7450; 10270]; [6832; 11389]; [1287; 5279]; [163; 10764]; [4678; 4685]; [2522; 5822]; [6166; 9084]; [882; 7445]; [5008; 6317]; [469; 5586]; [718; 8542]; [2363; 5011]; [2550; 11253]; [4162; 4576]; [3818; 4766]; [2680; 3375]; [4331; 10212]; [7220; 7714]; [4072; 5033]; [1054; 8841]; [2671; 3262]; [48; 2681]; [3752; 6748]; [448; 9970]; [2155; 3153]; [8722; 9917]; [5494; 6533]; [5919; 11435]; [3622; 4423]; [2255; 3734]; [5362; 9797]; [5427; 7940]; [9059; 10441]; [3613; 9972]; [605; 10304]; [3802; 6461]; [4136; 5583]; [9309; 9835]; [6195; 7519]; [1644; 4519]; [4797; 10927]; [153; 6238]; [11078; 11443]; [5075; 10871]; [5195; 10973]; [273; 1055]; [4475; 8782]; [4757; 7714]; [3723; 7457]; [1747; 11413]; [5577; 7483]; [4367; 10942]; [5079; 6452]; [3054; 4100]; [443; 8040]; [5541; 10455]; [6350; 6652]; [5226; 9131]; [3312; 8273]; [220; 9688]; [194; 8467]; [1402; 4181]; [6446; 9743]; [431; 7656]; [1016; 4145]; [33; 6829]; [1363; 7636]; [716; 3853]; [8582; 8701]; [6505; 10323]; [2570; 10295]; [3848; 5250]; [1167; 7697]; [1736; 10069]; [9950; 9965]; [2132; 3653]; [2942; 9120]; [669; 6666]; [7957; 9780]; [1486; 2724]; [5428; 6205]; [2575; 7606]; [8600; 10411]; [6335; 8572]; [8797; 10925]; [4119; 6652]; [7011; 10841]; [977; 3786]; [82; 7071]; [2188; 10351]; [7198; 10667]; [8844; 9990]; [97; 963]; [2428; 6805]; [2865; 3396]; [5084; 5991]; [543; 10849]; [6575; 8409]; [3058; 10584]; [5138; 6227]; [6067; 8942]; [6235; 10970]; [6411; 7254]; [9556; 9637]; [4053; 8634]; [1582; 8447]; [3550; 10265]; [2975; 7324]; [769; 2682]; [994; 5244]; [3563; 7494]; [2195; 10367]; [4717; 6355]; [4311; 5667]; [9820; 9868]; [5286; 9481]; [1272; 4434]; [3280; 4927]; [2548; 4978]; [6579; 11160]; [540; 3761]; [760; 1815]; [1019; 3207]; [8479; 11531]; [1636; 9033]; [3460; 6965]; [662; 8073]; [4868; 6874]; [7476; 9052]; [998; 7241]; [8343; 10889]; [2001; 4435]; [1526; 7360]; [812; 8771]; [3592; 6303]; [5576; 5648]; [1648; 2627]; [1339; 10917]; [3576; 5046]; [6201; 11335]; [8240; 11141]; [5750; 6740]; [27; 1267]; [935; 10275]; [6805; 9005]; [3632; 4574]; [10724; 10782]; [521; 8191]; [925; 5800]; [713; 8361]; [1668; 10045]; [6941; 11495]; [3287; 7545]; [1506; 5553]; [3386; 5272]; [4036; 6320]; [5154; 9688]; [8232; 10849]; [391; 9249]; [5055; 8928]; [7300; 9334]; [10820; 10840]; [2472; 8500]; [1596; 8829]; [5574; 7049]; [6756; 7958]; [1348; 4563]; [730; 5682]; [9687; 9823]; [5554; 9780]; [2640; 3388]; [5666; 10021]; [1837; 11143]; [5693; 6182]; [1092; 3819]; [625; 11523]; [1654; 5020]; [2141; 5138]; [2048; 2695]; [1490; 3865]; [10354; 11225]; [837; 5929]; [82; 923]; [3544; 8086]; [4217; 6674]; [1911; 8998]; [770; 8090]; [4789; 7065]; [2726; 8393]; [1888; 7294]; [12; 2032]; [3618; 8974]; [3444; 7855]; [450; 5641]; [2412; 6890]; [3809; 5509]; [2687; 8815]; [1314; 4928]; [2179; 10102]; [1563; 5632]; [930; 1555]; [5709; 5880]; [248; 5133]; [4324; 4642]; [600; 8968]; [7816; 10516]; [6689; 9314]; [3081; 5709]; [1183; 8794]; [6780; 8678]; [1025; 1792]; [3490; 3662]; [8312; 11097]; [535; 7792]; [1149; 9183]; [2114; 2887]; [1460; 4349]; [431; 4436]; [1262; 10780]; [1883; 2762]; [3438; 6131]; [10220; 11359]; [10699; 10805]; [5401; 10988]; [1258; 3841]; [1388; 9549]; [7475; 9068]; [1661; 4231]; [671; 9908]; [8814; 11092]; [7346; 9597]; [4302; 5768]; [3233; 8708]; [1185; 11068]; [1340; 8727]; [10118; 10651]; [932; 10622]; [987; 11083]; [5295; 10161]; [4104; 11418]; [4223; 6414]; [8051; 8073]; [4255; 10833]; [3171; 11213]; [1117; 3959]; [1211; 9256]; [50; 2808]; [4633; 7975]; [4910; 6563]; [4031; 9627]; [5529; 8298]; [4906; 9073]; [5102; 6733]; [7736; 10132]; [241; 3507]; [3976; 9139]; [483; 3040]; [8388; 11226]; [230; 8229]; [2210; 10838]; [2251; 6675]; [2344; 7620]; [3180; 7892]; [2053; 6690]; [3584; 5501]; [5574; 11050]; [5383; 8072]; [787; 10217]; [7010; 7345]; [3174; 6542]; [3800; 9448]; [5291; 5450]; [8184; 10241]; [3227; 6553]; [8767; 10067]; [5369; 10244]; [5909; 7714]; [1263; 5608]; [9948; 11505]; [8441; 10836]; [3096; 11173]; [3208; 4998]; [687; 5448]; [2994; 6732]; [2244; 5480]; [4716; 9275]; [659; 9816]; [7226; 10918]; [999; 4222]; [1246; 10515]; [1676; 10099]; [8718; 9774]; [6882; 10327]; [2837; 3715]; [4571; 11553]; [2931; 9012]; [10980; 11315]; [10146; 11089]; [6999; 7879]; [1987; 4484]; [4232; 9054]; [1543; 6722]; [2451; 9314]; [1947; 11501]; [2858; 11358]; [6748; 7479]; [3751; 5748]; [4938; 7001]; [2825; 8966]; [3666; 9582]; [2749; 9910]; [1761; 11496]; [1541; 3616]; [450; 2071]; [7483; 10328]; [3371; 8910]; [2163; 2616]; [6744; 6956]; [9220; 9769]; [2036; 11142]; [7196; 8019]; [5771; 9604]; [2595; 6410]; [3488; 7216]; [2061; 5722]; [1588; 3058]; [3205; 10311]; [2620; 7406]; [5918; 6621]; [2905; 3603]; [1129; 9125]; [1642; 3294]; [2336; 11030]; [4788; 8531]; [6790; 9933]; [2198; 4680]; [4606; 6770]; [624; 10306]; [6740; 9065]; [5001; 9928]; [1789; 6323]; [3499; 9603]; [5236; 9044]; [3622; 5472]; [3214; 3957]; [4015; 5174]; [4858; 6617]; [8347; 8810]; [2342; 7411]; [1932; 9233]; [872; 9253]; [1997; 7376]; [92; 5880]; [1186; 11106]; [997; 1785]; [1253; 5912]; [1160; 3469]; [7806; 8836]; [549; 871]; [1766; 10634]; [4598; 7602]; [828; 3669]; [924; 9793]; [1330; 4065]; [4698; 8183]; [7093; 10068]; [1133; 6934]; [1735; 5282]; [2827; 10435]; [6430; 7280]; [3155; 8988]; [3714; 10672]; [512; 7755]; [5456; 9703]; [6168; 8219]; [4332; 6520]; [39; 8474]; [6670; 7117]; [7573; 8611]; [2750; 8121]; [4735; 6910]; [3183; 4970]; [8931; 11439]; [1873; 11231]; [2336; 6037]; [6787; 11085]; [2081; 5518]; [6528; 6660]; [216; 3798]; [5376; 7845]; [1021; 8921]; [7082; 7219]; [2543; 6488]; [2018; 7798]; [8863; 10342]; [7027; 10895]; [1170; 9394]; [5060; 5515]; [4256; 10416]; [6830; 7348]; [4834; 9898]; [3373; 9574]; [8065; 11301]; [1289; 10025]; [5124; 6439]; [938; 2628]; [8575; 10060]; [1565; 9142]; [4638; 9205]; [997; 9624]; [2717; 11340]; [3090; 10390]; [2586; 6161]; [7689; 8920]; [722; 4666]; [5820; 7081]; [527; 7608]; [2736; 6105]; [809; 878]; [1139; 2510]; [1900; 11468]; [1583; 9317]; [3068; 7783]; [11077; 11411]; [492; 8526]; [547; 8233]; [10355; 11426]; [238; 3691]; [4842; 9735]; [4491; 8754]; [1390; 6643]; [1008; 10513]; [2038; 6864]; [7573; 10034]; [8920; 9290]; [2721; 4642]; [1974; 2907]; [1408; 4216]; [5076; 8626]; [4269; 6840]; [3611; 11566]; [5175; 6353]; [472; 5965]; [3211; 7660]; [9312; 9521]; [7745; 11430]; [9467; 9809]; [2614; 6623]; [1989; 10735]; [2145; 11248]; [738; 1361]; [4724; 7770]; [150; 10236]; [1294; 8409]; [3376; 4879]; [2908; 3313]; [6185; 7313]; [5741; 10305]; [7057; 7242]; [9545; 11570]; [1195; 5397]; [3748; 10120]; [7762; 8751]; [9324; 9881]; [909; 5565]; [941; 7732]; [8781; 11359]; [6549; 9660]; [4026; 9283]; [5546; 9433]; [68; 5299]; [5011; 6645]; [160; 8271]; [2018; 11449]; [7431; 8772]; [9389; 9902]; [526; 5396]; [6881; 8305]; [558; 8317]; [492; 9949]; [857; 1968]; [5373; 7411]; [1354; 2774]; [176; 4236]; [5742; 8971]; [1485; 4920]; [3871; 10469]; [6524; 10138]; [2385; 6116]; [3927; 5116]; [6079; 9495]; [1874; 7132]; [3221; 10552]; [4403; 5045]; [8143; 11021]; [3240; 4186]; [2561; 11445]; [1025; 9257]; [1582; 10114]; [909; 5110]; [4792; 10640]; [3917; 10413]; [271; 3318]; [6000; 9737]; [2974; 3104]; [7393; 8614]; [10918; 11218]; [1818; 6799]; [6742; 7341]; [197; 8472]; [3629; 10131]; [2043; 2945]; [8142; 10395]; [2827; 9443]; [764; 10771]; [4081; 4778]; [1725; 2821]; [1042; 3545]; [1967; 2354]; [4026; 10706]; [6321; 8223]; [1687; 3468]; [1002; 3365]; [4980; 6503]; [1119; 3950]; [6604; 7757]; [2524; 11512]; [3142; 3977]; [7591; 8198]; [128; 10156]; [8125; 11515]; [1026; 4890]; [4171; 7273]; [2757; 6795]; [2545; 8602]; [9823; 11028]; [251; 8277]; [96; 10618]; [10354; 10664]; [495; 2221]; [6737; 9225]; [6222; 7813]; [1585; 9957]; [1015; 9612]; [5502; 8655]; [8361; 10452]; [109; 1404]; [3249; 3443]; [296; 7646]; [2725; 7607]; [3551; 7191]; [538; 7179]; [3088; 5969]; [4207; 5775]; [3931; 10795]; [4019; 6478]; [7038; 9688]; [319; 9700]; [816; 3336]; [9100; 11141]; [2454; 5050]; [6261; 9996]; [7536; 7686]; [4576; 10718]; [1491; 1970]; [1931; 6406]; [998; 8453]; [1077; 7056]; [1488; 5836]; [593; 4203]; [1369; 4424]; [2479; 3767]; [10018; 10664]; [3289; 9234]; [1056; 6179]; [4968; 10195]; [855; 1759]; [400; 4562]; [7177; 8692]; [1800; 6862]; [1542; 6072]; [957; 3167]; [7415; 11489]; [9641; 11091]; [2883; 4759]; [3468; 7664]; [5618; 8964]; [1002; 1405]; [6889; 9164]; [757; 5738]; [9227; 9761]; [171; 11276]; [3296; 5867]; [3650; 6365]; [3958; 4266]; [4773; 10077]; [5076; 7634]; [3422; 7669]; [8468; 9894]; [712; 5214]; [1644; 5194]; [6219; 6336]; [3763; 7181]; [2617; 5929]; [807; 5451]; [2431; 2541]; [1586; 5189]; [8805; 9664]; [2924; 10021]; [33; 5276]; [2889; 7556]; [7154; 9216]; [6459; 8425]; [4189; 6242]; [677; 8761]; [5808; 7152]; [820; 8315]; [305; 487]; [3725; 11211]; [3751; 10180]; [3227; 10180]; [2697; 7736]; [7053; 9514]; [1819; 7238]; [5360; 9621]; [1404; 2300]; [4805; 8810]; [2842; 7336]; [4304; 10514]; [2396; 9501]; [226; 3762]; [4833; 7071]; [1280; 3173]; [4884; 10042]; [7778; 8642]; [5843; 6183]; [6307; 11013]; [6568; 9068]; [9271; 10352]; [1733; 7063]; [453; 2613]; [1959; 6063]; [1360; 11396]; [6179; 8734]; [265; 6699]; [4002; 6742]; [3281; 6228]; [2221; 7002]; [2966; 4904]; [5116; 8456]; [3213; 11197]; [5365; 9160]; [3617; 5396]; [1232; 9117]; [5860; 6887]; [4609; 10345]; [5770; 10377]; [2439; 5360]; [9906; 9937]; [7557; 9181]; [685; 1027]; [5172; 6486]; [7806; 9885]; [10209; 10877]; [2556; 2912]; [4817; 8015]; [1213; 10945]; [34; 9553]; [9046; 11149]; [6463; 10721]; [21; 2151]; [3909; 8025]; [7641; 7724]; [2288; 4036]; [6176; 9910]; [2912; 10279]; [1231; 8491]; [5520; 9047]; [9571; 10189]; [2653; 5854]; [4932; 11506]; [4208; 5813]; [8456; 10179]; [8505; 10394]; [7722; 9002]; [8190; 9070]; [1371; 11130]; [7570; 9362]; [3; 6833]; [4956; 6615]; [6255; 8863]; [5016; 7420]; [3173; 10966]; [7502; 7915]; [191; 10267]; [10120; 11535]; [8494; 8700]; [5168; 8191]; [2492; 10982]; [5415; 8068]; [310; 8646]; [2541; 10874]; [5626; 6036]; [2200; 10581]; [5837; 6256]; [300; 761]; [4374; 10023]; [9348; 10682]; [4186; 9972]; [5841; 7129]; [7021; 11375]; [1381; 4247]; [6924; 7278]; [9376; 9697]; [2409; 4689]; [979; 10094]; [2009; 7199]; [970; 5844]; [4213; 5352]; [4925; 7278]; [523; 2122]; [877; 2620]; [6448; 7699]; [5613; 11035]; [2580; 8893]; [8782; 11560]; [998; 10494]; [7968; 8603]; [10232; 10971]; [120; 10750]; [1185; 3904]; [3516; 9746]; [8358; 8788]; [1730; 7410]; [1203; 10899]; [711; 8185]; [8732; 10692]; [5031; 10306]; [4318; 8155]; [4694; 10886]; [6802; 8577]; [5812; 7838]; [2531; 8600]; [5806; 7269]; [608; 7656]; [3498; 8766]; [5979; 11169]; [3023; 5275]; [165; 7086]; [406; 3011]; [9186; 11397]; [509; 10279]; [1834; 4326]; [7838; 8506]; [3335; 7432]; [1243; 3858]; [2576; 11352]; [2235; 8807]; [3690; 4398]; [2858; 4999]; [7302; 8876]; [3162; 5410]; [2475; 4480]; [3836; 7606]; [3464; 11410]; [2944; 9654]; [637; 1954]; [1165; 4325]; [5518; 6586]; [1502; 7128]; [612; 10003]; [9220; 9826]; [4003; 9409]; [10097; 10099]; [515; 10070]; [3965; 6673]; [4836; 9383]; [244; 4130]; [7012; 11150]; [42; 7379]; [8187; 9390]; [2985; 5117]; [2670; 10209]; [3694; 4116]; [4636; 4784]; [2081; 10568]; [2638; 5009]; [652; 8247]; [6275; 7100]; [2455; 5302]; [1895; 4147]; [2608; 9681]; [4000; 7956]; [5901; 7798]; [6966; 8122]; [3752; 7854]; [2157; 11502]; [3354; 7027]; [3693; 10657]; [1824; 8818]; [10274; 11465]; [2381; 7423]; [9781; 11532]; [6979; 9488]; [5867; 9318]; [6292; 7804]; [528; 9500]; [6047; 7973]; [496; 9962]; [9501; 11111]; [1559; 7207]; [5951; 10894]; [652; 4059]; [4576; 10344]; [5224; 11319]; [8995; 10192]; [4656; 5385]; [8869; 11019]; [8122; 10038]; [180; 8386]; [3506; 6643]; [3820; 8496]; [1889; 2773]; [550; 10548]; [9602; 11543]; [447; 9669]; [1567; 7448]; [4985; 10929]; [4780; 7491]; [2693; 4261]; [3803; 10020]; [5614; 11100]; [3682; 5529]; [3522; 7526]; [8105; 8529]; [6539; 10663]; [9648; 10383]; [6232; 6948]; [3577; 10616]; [4614; 8892]; [70; 7817]; [2993; 4903]; [1016; 5251]; [8868; 10393]; [327; 1242]; [8891; 11316]; [4168; 8024]; [6774; 9375]; [1136; 3074]; [6120; 8585]; [1457; 5344]; [3229; 7250]; [4159; 7157]; [4064; 8051]; [2995; 10237]; [3000; 11335]; [1792; 11457]; [696; 3152]; [6637; 7010]; [4398; 6392]; [3030; 6259]; [11033; 11570]; [8380; 9649]; [7345; 11419]; [4329; 5474]; [6849; 7805]; [4196; 5884]; [10933; 11339]; [7321; 10244]; [5855; 9576]; [2861; 7362]; [2797; 9821]; [5186; 6973]; [3565; 8646]; [3651; 7666]; [7984; 8494]; [3340; 9467]; [43; 1028]; [165; 2711]; [5679; 7256]; [6054; 6379]; [8874; 9002]; [1005; 3102]; [3861; 5382]; [502; 2481]; [2052; 7758]; [3027; 11572]; [8032; 11544]; [90; 9892]; [3959; 11552]; [163; 8650]; [2840; 8713]; [1553; 10262]; [2463; 6511]; [6150; 8719]; [4388; 5249]; [2912; 3139]; [6473; 7652]; [7722; 9783]; [313; 8594]; [8328; 11313]; [7219; 9162]; [4411; 9582]; [5290; 6518]; [2599; 8277]; [7645; 11256]; [3849; 7600]; [5750; 8196]; [4988; 5429]; [3884; 10038]; [3540; 10228]; [2248; 4263]; [665; 3010]; [6865; 10512]; [1437; 1577]; [1039; 11330]; [1562; 6187]; [256; 7686]; [2553; 8282]; [3686; 6266]; [1067; 3175]; [2273; 9396]; [1130; 7661]; [6727; 7545]; [8129; 10672]; [7793; 10723]; [7975; 10205]; [3303; 9130]; [841; 10941]; [399; 3426]; [6909; 10410]; [2733; 7287]; [3158; 5773]; [955; 11228]; [3043; 5234]; [2723; 5818]; [1083; 7441]; [1267; 10002]; [5281; 8633]; [9348; 10308]; [2011; 10685]; [3403; 8960]; [6297; 7560]; [579; 8847]; [2164; 5265]; [4032; 9131]; [353; 6814]; [7204; 9927]; [5606; 6888]; [8558; 8876]; [561; 1101]; [7594; 9358]; [6828; 10579]; [5766; 7520]; [3543; 5183]; [5922; 8033]; [2462; 4326]; [3150; 8864]; [2235; 5855]; [27; 10212]; [1589; 11342]; [3389; 4716]; [2893; 6764]; [5596; 8802]; [128; 4602]; [4416; 11349]; [2945; 3921]; [362; 9909]; [2913; 5137]; [3501; 5307]; [3444; 4773]; [419; 994]; [859; 7682]; [761; 4141]; [1793; 8489]; [2132; 7955]; [4996; 7844]; [2224; 4511]; [2841; 3167]; [1096; 3838]; [2276; 10336]; [1185; 8791]; [9903; 10664]; [5137; 6544]; [3986; 4948]; [3650; 11415]; [3712; 5877]; [4946; 6976]; [1595; 3936]; [3799; 8505]; [2328; 7493]; [7591; 8255]; [10011; 11136]; [2731; 7883]; [902; 3191]; [9823; 11085]; [6225; 8168]; [1949; 7847]; [1959; 8535]; [2668; 6780]; [1828; 9772]; [3103; 6708]; [2578; 8018]; [155; 4839]; [6034; 8573]; [3868; 6016]; [3400; 3696]; [8606; 10340]; [1763; 5590]; [4225; 4533]; [5116; 10928]; [1167; 11194]; [10597; 10829]; [2190; 11292]; [1655; 7750]; [4955; 7038]; [5964; 9682]; [5393; 10647]; [446; 7647]; [5549; 11160]; [5821; 9404]; [8498; 9467]; [2376; 6729]; [7479; 10242]; [9380; 10084]; [9468; 9931]; [2338; 3993]; [9192; 10787]; [117; 948]; [736; 7601]; [6852; 10494]; [6847; 10150]; [1147; 2217]; [7313; 9391]; [1466; 10830]; [6520; 7311]; [5527; 8553]; [3541; 6129]; [1820; 4188]; [3106; 9584]; [11; 902]; [2657; 5816]; [353; 10465]; [5251; 10540]; [7359; 8231]; [7486; 10258]; [4910; 10247]; [7140; 8867]; [5402; 10709]; [1732; 5472]; [2532; 10251]; [512; 1827]; [10375; 11143]; [7564; 8636]; [1564; 6827]; [7732; 9910]; [6677; 11028]; [9977; 10316]; [1414; 3850]; [4299; 11032]; [321; 1478]; [7791; 10490]; [7789; 8165]; [6161; 8667]; [4540; 6930]; [6752; 9108]; [398; 6801]; [7223; 8693]; [9642; 10218]; [1431; 7587]; [149; 9480]; [4225; 8989]; [680; 9116]; [5501; 6527]; [6184; 6557]; [10132; 10984]; [5254; 5869]; [5495; 8964]; [832; 3471]; [1771; 7628]; [5183; 7157]; [8323; 9196]; [2376; 11185]; [8611; 9828]; [5488; 8924]; [445; 6216]; [1198; 11149]; [8626; 10136]; [1868; 3804]; [3474; 10868]; [138; 4753]; [2932; 6155]; [2469; 8343]; [315; 10307]; [913; 4749]; [4822; 5838]; [5771; 7677]; [6048; 10429]; [2643; 9435]; [1777; 10452]; [4788; 9637]; [9428; 11174]; [4268; 7881]; [4235; 5489]; [2234; 7695]; [5570; 7394]; [2232; 11032]; [9928; 9999]; [3259; 8620]; [215; 7043]; [278; 4359]; [7704; 9689]; [6026; 10828]; [7055; 9243]; [1800; 8342]; [3125; 8805]; [8491; 11200]; [614; 3527]; [4442; 9350]; [7239; 8017]; [7645; 9459]; [8421; 8926]; [324; 10369]; [1506; 4862]; [5434; 7883]; [4313; 10633]; [4437; 5973]; [7207; 9233]; [2217; 3153]; [6537; 9438]; [2533; 5079]; [6196; 9145]; [74; 6407]; [480; 1433]; [3773; 10130]; [1034; 2773]; [4590; 6188]; [4208; 10058]; [3730; 7050]; [906; 9189]; [2957; 6346]; [6472; 7508]; [7442; 10978]; [4584; 5619]; [224; 7105]; [2581; 7752]; [10113; 11226]; [163; 2665]; [7527; 10527]; [10051; 10348]; [3507; 7917]; [2705; 6475]; [8152; 9798]; [614; 5755]; [3513; 8863]; [736; 5186]; [7766; 9762]; [4089; 7518]; [8851; 10738]; [2015; 9411]; [5528; 9746]; [9327; 10667]; [1631; 6038]; [46; 9620]; [3121; 4848]; [791; 1860]; [7210; 8726]; [1850; 10283]; [3073; 11193]; [971; 6931]; [2370; 6377]; [2471; 6429]; [1783; 2645]; [2352; 9181]; [2311; 2764]; [1378; 4811]; [1500; 3488]; [8571; 8819]; [563; 8799]; [3401; 7467]; [4855; 6620]; [6324; 10969]; [8507; 10497]; [7874; 9830]; [3335; 9099]; [4137; 10541]; [3822; 9217]; [8654; 10924]; [3955; 8026]; [5476; 6149]; [940; 11351]; [4627; 6389]; [243; 7481]; [4138; 10362]; [6896; 9101]; [9294; 10503]; [2787; 7954]; [9643; 10657]; [4447; 4701]; [1258; 6183]; [10915; 11459]; [3405; 3802]; [3783; 8858]; [3284; 4973]; [5400; 9695]; [760; 1742]; [2900; 8016]; [1076; 3668]; [8791; 9101]; [1105; 2154]; [2908; 6379]; [8570; 10822]; [2524; 9422]; [1806; 6173]; [1437; 11002]; [6141; 7828]; [281; 2646]; [3775; 5183]; [124; 10576]; [3142; 5270]; [2901; 8591]; [7247; 9681]; [36; 2061]; [3367; 7832]; [5476; 8377]; [1778; 8262]; [1358; 8642]; [5475; 11158]; [9459; 11078]; [56; 6850]; [5214; 9316]; [10174; 10269]; [5411; 10584]; [521; 8118]; [3501; 5738]; [8664; 9302]; [7674; 8563]; [9129; 10570]; [3248; 10927]; [3090; 3925]; [473; 1661]; [2057; 5768]; [3932; 11559]; [6045; 9594]; [3677; 10286]; [631; 1466]; [4767; 5944]; [7077; 10909]; [6979; 8122]; [7003; 8516]; [7318; 7588]; [3488; 5102]; [833; 8770]; [6703; 8224]; [6404; 7433]; [5196; 5303]; [7090; 10390]; [999; 7719]; [4827; 9378]; [2141; 11481]; [6778; 9337]; [1344; 10383]; [2961; 11220]; [551; 2641]; [872; 11327]; [4071; 4147]; [8833; 10777]; [3141; 3459]; [4562; 10800]; [2640; 10081]; [7048; 7885]; [828; 8776]; [8023; 8693]; [769; 7415]; [8733; 10546]; [5092; 10965]; [7210; 9344]; [8894; 11403]; [3657; 5446]; [2444; 2972]; [4178; 10810]; [7574; 10560]; [1965; 9161]; [5867; 6797]; [2875; 5410]; [6949; 10508]; [2908; 11185]; [10406; 10911]; [74; 6220]; [4730; 8290]; [1182; 4736]; [528; 10362]; [7006; 8009]; [3952; 5744]; [1690; 6832]; [1098; 9926]; [255; 2067]; [9962; 10870]; [848; 2581]; [7257; 8759]; [7307; 8122]; [738; 4695]; [32; 2961]; [301; 7323]; [8649; 10417]; [5782; 7224]; [8151; 9386]; [1642; 10174]; [4840; 5021]; [3560; 7741]; [6450; 8851]; [6463; 7558]; [4066; 9764]; [4159; 5791]; [5243; 10329]; [175; 9254]; [1248; 8715]; [317; 11589]; [4023; 9313]; [164; 1925]; [7049; 10284]; [10619; 11153]; [6512; 10079]; [7966; 9232]; [5318; 7655]; [7198; 7374]; [7155; 10710]; [1155; 9655]; [3364; 7398]; [2545; 10513]; [7407; 10931]; [1469; 10754]; [5129; 8133]; [3582; 8789]; [3264; 3784]; [60; 10620]; [2386; 9702]; [655; 1381]; [896; 4476]; [23; 5076]; [7748; 8191]; [2053; 7772]; [5007; 6423]; [5434; 5736]; [1423; 7376]; [699; 7345]; [7302; 10356]; [2942; 4672]; [2422; 9332]; [2596; 4035]; [4404; 7850]; [827; 5810]; [9786; 10778]; [3385; 8625]; [8643; 9043]; [3662; 7213]; [4004; 10360]; [363; 4363]; [8148; 8283]; [6116; 8924]; [8196; 10983]; [6332; 7236]; [384; 2207]; [917; 9086]; [4358; 7855]; [5920; 8231]; [4079; 8440]; [8573; 10906]; [1715; 6622]; [101; 3804]; [1040; 7207]; [5486; 5495]; [200; 9445]; [9130; 9511]; [7531; 9253]; [4857; 8707]; [2331; 5807]; [6905; 8976]; [778; 5894]; [1652; 2486]; [3479; 7105]; [4855; 9011]; [4315; 5125]; [8734; 10635]; [8546; 11338]; [2140; 2425]; [1599; 7736]; [3155; 8297]; [4285; 9016]; [2410; 3225]; [3120; 5078]; [2903; 7295]; [4527; 8549]; [1464; 2034]; [3673; 6947]; [2214; 7450]; [5646; 9109]; [3929; 11074]; [684; 5077]; [10642; 11247]; [5791; 8709]; [216; 6140]; [4507; 7523]; [2702; 3225]; [6057; 6384]; [5781; 11404]; [327; 6910]; [891; 8938]; [2262; 6336]; [7427; 10727]; [491; 5032]; [422; 9399]; [47; 8024]; [4757; 10300]; [705; 3271]; [6271; 8006]; [1718; 8343]; [2841; 5639]; [8228; 8911]; [3214; 11105]; [5521; 5973]; [1722; 9216]; [2966; 4587]; [3768; 6029]; [7420; 9906]; [2187; 10484]; [2; 10883]; [3529; 9396]; [1192; 9401]; [7190; 10383]; [4301; 5711]; [6761; 7237]; [4478; 11265]; [4889; 5881]; [752; 8348]; [6217; 6615]; [6235; 11328]; [4076; 6532]; [4260; 9093]; [1373; 5248]; [2264; 5227]; [187; 433]; [10360; 10729]; [1272; 1409]; [4172; 9623]; [4566; 7298]; [2919; 10002]; [328; 2543]; [4524; 7072]; [2884; 5285]; [950; 2297]; [8546; 9728]; [1889; 3448]; [3809; 10510]; [3227; 4870]; [667; 6146]; [3647; 3766]; [7886; 10621]; [4586; 11333]; [6862; 11052]; [2194; 7467]; [3503; 3987]; [93; 6059]; [4676; 7062]; [3184; 11589]; [261; 1671]; [476; 5797]; [6177; 10168]; [5955; 11287]; [2053; 7235]; [5511; 7863]; [91; 2199]; [3241; 4926]; [837; 3709]; [4740; 11369]; [370; 11413]; [991; 1143]; [2362; 4957]; [182; 5700]; [2549; 11199]; [3473; 7154]; [6906; 10169]; [2978; 6394]; [361; 10546]; [4905; 5959]; [4189; 6543]; [7361; 10749]; [3655; 10019]; [1356; 8596]; [2109; 7113]; [1820; 7010]; [377; 1630]; [6739; 7962]; [3468; 10543]; [2240; 2873]; [5481; 11380]; [5488; 6135]; [3268; 3315]; [2887; 3623]; [4941; 7844]; [483; 8041]; [6895; 7320]; [761; 7231]; [10640; 11388]; [2356; 4337]; [3601; 8978]; [6545; 6941]; [2761; 7806]; [4869; 5497]; [3506; 5708]; [7057; 8779]; [3352; 5241]; [225; 9853]; [820; 4778]; [9006; 9042]; [4582; 5817]; [2273; 10876]; [3220; 5472]; [1030; 5527]; [8841; 10668]; [649; 5835]; [3233; 9871]; [5822; 10087]; [6691; 10499]; [6567; 8743]; [2981; 8869]; [1210; 7565]; [3481; 6940]; [8269; 10627]; [7548; 8615]; [1605; 8094]; [2260; 3070]; [1797; 1848]; [3506; 11319]; [6278; 8990]; [784; 933]; [45; 10393]; [8316; 10823]; [2567; 7135]; [4084; 10020]; [1154; 3095]; [2988; 8885]; [9130; 10747]; [914; 10024]; [782; 1237]; [436; 600]; [1781; 3193]; [1877; 2901]; [10557; 10706]; [1371; 11431]; [230; 6359]; [7441; 7563]; [5814; 6038]; [8492; 8955]; [8218; 10638]; [5606; 8718]; [6263; 6773]; [179; 9053]; [4380; 6756]; [395; 7365]; [2666; 6740]; [4875; 10899]; [3385; 5673]; [5873; 10001]; [4978; 8368]; [5850; 8297]; [636; 6673]; [4477; 7039]; [1129; 10743]; [6806; 9802]; [5080; 8271]; [2874; 7039]; [190; 5805]; [3464; 3872]; [4456; 11073]; [1686; 8567]; [5206; 10073]; [6812; 9997]; [3804; 10329]; [468; 4968]; [7312; 10320]; [1899; 6581]; [3480; 11171]; [3951; 6592]; [3235; 11340]; [7407; 10557]; [612; 10759]; [1424; 6473]; [4753; 9165]; [736; 10236]; [2539; 9543]; [7269; 7590]; [736; 3820]; [2785; 6566]; [3253; 8132]; [2511; 5243]; [541; 2598]; [6177; 8826]; [9038; 9198]; [1068; 5498]; [1670; 3846]; [1719; 10154]; [7080; 11451]; [1192; 4221]; [8096; 10378]; [2710; 10714]; [3952; 10176]; [6916; 9515]; [624; 8086]; [4886; 6819]; [679; 2131]; [1577; 3281]; [2464; 10658]; [3447; 7974]; [1523; 6428]; [831; 5154]; [2673; 8553]; [580; 11170]; [2075; 10324]; [3343; 10253]; [6983; 10363]; [2726; 8564]; [2848; 9493]; [2158; 9046]; [1452; 8066]; [1825; 6362]; [6513; 11353]; [8970; 9198]; [503; 8856]; [2471; 10674]; [405; 1905]; [196; 8147]; [6729; 9665]; [2123; 6958]; [4146; 8483]; [1154; 7096]; [5051; 5142]; [526; 3363]; [1224; 8589]; [8963; 9158]; [246; 10893]; [5540; 10968]; [146; 863]; [241; 7516]; [5931; 7591]; [709; 2666]; [6686; 9187]; [2849; 9694]; [5245; 9515]; [83; 3143]; [2046; 4617]; [8114; 10502]; [9630; 10533]; [1694; 9827]; [4994; 9115]; [6556; 10245]; [4562; 7206]; [8483; 9810]; [1439; 9308]; [728; 7230]; [8081; 11493]; [533; 6762]; [2243; 3626]; [3373; 8509]; [3777; 6872]; [7044; 10184]; [9656; 9852]; [2920; 7251]; [1125; 1389]; [7132; 9250]; [6499; 9337]; [6812; 7582]; [3269; 10788]; [7777; 9954]; [2233; 3288]; [7308; 10415]; [8514; 10220]; [4190; 10609]; [962; 6471]; [5060; 9711]; [3318; 7647]; [422; 8220]; [1976; 2319]; [6616; 10272]; [2786; 10038]; [797; 927]; [7736; 10303]; [6146; 7879]; [4186; 10086]; [3835; 9105]; [7083; 8203]; [760; 8215]; [8702; 9867]; [1474; 6804]; [8361; 9574]; [2592; 10172]; [4328; 6005]; [317; 1229]; [1509; 6990]; [576; 9037]; [5581; 9009]; [2496; 7431]; [4059; 11415]; [809; 11490]; [167; 881]; [6849; 8911]; [5194; 5338]; [3363; 10399]; [531; 2097]; [3514; 10568]; [1117; 6358]; [6621; 9461]; [6041; 6900]; [2075; 7559]; [120; 4448]; [1142; 7354]; [7031; 11022]; [4257; 11026]; [2760; 11045]; [3565; 9752]; [7297; 9451]; [1827; 4424]; [2262; 10768]; [9791; 10561]; [9507; 10802]; [5154; 6289]; [952; 4197]; [2529; 5635]; [4081; 5323]; [3841; 5836]; [6826; 10216]; [4460; 7571]; [4114; 6934]; [2531; 5681]; [7629; 8096]; [2555; 3823]; [7381; 7994]; [5266; 9132]; [5075; 10318]; [6472; 8183]; [6002; 9954]; [3233; 3886]; [2923; 5158]; [7090; 10447]; [8874; 10458]; [3914; 6499]; [1742; 7103]; [4137; 8988]; [8063; 11182]; [4073; 11447]; [369; 964]; [3166; 8299]; [3393; 4518]; [582; 2011]; [3515; 6201]; [1895; 5066]; [398; 9249]; [4823; 8912]; [515; 9834]; [427; 7735]; [4028; 10923]; [5161; 8907]; [2127; 7294]; [1411; 7878]; [2152; 9044]; [590; 1498]; [6206; 9703]; [874; 11056]; [1025; 4809]; [4421; 10975]; [2936; 6093]; [2370; 7402]; [190; 975]; [1776; 6663]; [2866; 7983]; [5913; 9077]; [2921; 7690]; [9772; 10803]; [7123; 9001]; [2950; 9559]; [7399; 8118]; [1950; 3968]; [2845; 5601]; [2478; 4087]; [1387; 5548]; [1788; 10056]; [10315; 10449]; [1380; 8541]; [4274; 6387]; [107; 1098]; [4585; 10975]; [2131; 10395]; [6169; 7168]; [2935; 11129]; [6261; 9386]; [1419; 11098]; [7725; 9227]; [160; 1863]; [3991; 7203]; [543; 847]; [5890; 11136]; [7125; 8673]; [2452; 4744]; [1405; 9887]; [836; 1099]; [1585; 8542]; [4601; 8825]; [2987; 5253]; [303; 4019]; [1084; 4584]; [6877; 7790]; [4444; 8087]; [710; 8315]; [1763; 10534]; [1608; 9465]; [980; 3480]; [3848; 7275]; [1953; 10631]; [4229; 9596]; [7118; 7852]; [5650; 6357]; [863; 5524]; [978; 10200]; [6729; 7518]; [4578; 6747]; [7423; 8838]; [226; 924]; [3406; 9909]; [2059; 6489]; [1780; 4822]; [4918; 6034]; [10432; 10579]; [1146; 7690]; [10280; 10939]; [9270; 11076]; [128; 4903]; [1680; 4591]; [1339; 4298]; [8279; 10112]; [8611; 9161]; [7272; 7514]; [2421; 11392]; [6927; 10485]; [7271; 10295]; [11171; 11268]; [1046; 4426]; [490; 6423]; [710; 10893]; [9695; 9912]; [1849; 8722]; [698; 2962]; [517; 4082]; [3287; 7342]; [68; 6730]; [2722; 11505]; [6213; 8109]; [8952; 9804]; [2221; 7547]; [3436; 7815]; [1127; 5704]; [1939; 5582]; [1412; 8317]; [223; 10401]; [2112; 9482]; [3330; 10048]; [1836; 7332]; [2479; 7963]; [374; 1121]; [8594; 10631]; [5261; 8951]; [5416; 6610]; [3606; 5378]; [6092; 8879]; [1114; 4314]; [7299; 11538]; [396; 8235]; [4038; 5008]; [3995; 8344]; [9975; 11376]; [4964; 11589]; [723; 3153]; [2384; 7672]; [8349; 10426]; [7939; 8084]; [6411; 10702]; [1903; 4366]; [4826; 8622]; [2000; 7682]; [930; 7768]; [2795; 5701]; [683; 10520]; [188; 9760]; [2831; 4577]; [3268; 5332]; [3760; 5040]; [1201; 9170]; [2539; 10592]; [797; 1358]; [852; 1819]; [789; 7132]; [2155; 10602]; [1878; 5598]; [6733; 9009]; [1134; 8298]; [845; 8195]; [5113; 7874]; [1899; 9858]; [7475; 8865]; [3211; 10059]; [1814; 5024]; [5893; 10466]; [4551; 5138]; [3266; 3350]; [2211; 7878]; [4353; 5153]; [2522; 6050]; [3182; 7786]; [806; 4453]; [2055; 7338]; [1581; 4449]; [2329; 9038]; [8368; 10021]; [5369; 7463]; [7151; 10057]; [7794; 10688]; [2783; 10147]; [3720; 11225]; [544; 7277]; [7450; 9343]; [2632; 6945]; [5644; 9738]; [133; 4710]; [842; 2955]; [728; 6051]; [1189; 7200]; [717; 8144]; [8435; 10088]; [2368; 7811]; [3059; 8860]; [3321; 6416]; [2890; 9613]; [8405; 9098]; [3262; 8438]; [1017; 1616]; [3291; 6924]; [7401; 10181]; [6685; 10011]; [6778; 6792]; [4562; 4872]; [931; 5979]; [1943; 8197]; [1664; 9536]; [5559; 10165]; [9208; 10361]; [7075; 10196]; [8575; 9694]; [10257; 10926]; [1130; 2432]; [1389; 10240]; [955; 7504]; [7507; 9072]; [4654; 11227]; [3054; 7361]; [2524; 11333]; [1792; 11384]; [6006; 10103]; [6045; 9277]; [2093; 5862]; [9565; 10783]; [5640; 11443]; [2085; 10882]; [6603; 11490]; [4139; 7556]; [6205; 10663]; [1429; 2849]; [969; 7560]; [816; 4312]; [1554; 4049]; [8439; 10156]; [2603; 9532]; [8986; 10325]; [5567; 8871]; [741; 2448]; [1957; 8603]; [7645; 8605]; [173; 6313]; [197; 10871]; [329; 6826]; [3746; 7453]; [2199; 5103]; [3257; 4256]; [3100; 4272]; [4805; 7208]; [6047; 8168]; [441; 10450]; [6234; 7994]; [5888; 7357]; [1533; 8433]; [5700; 8060]; [385; 11272]; [4976; 11412]; [1643; 3316]; [2028; 3127]; [8712; 11230]; [9770; 10383]; [3261; 7007]; [253; 11503]; [5969; 6383]; [1239; 1920]; [8407; 9813]; [4572; 6983]; [341; 4153]; [702; 7350]; [332; 6319]; [5782; 6907]; [2193; 3352]; [8046; 11527]; [2041; 3712]; [822; 2921]; [7575; 8909]; [5426; 8965]; [8452; 9182]; [5368; 8206]; [1058; 9055]; [6691; 8596]; [7976; 9603]; [4208; 8749]; [6281; 9637]; [3201; 5397]; [4238; 10089]; [3579; 11207]; [5855; 10926]; [370; 4867]; [7283; 8858]; [2825; 6803]; [2026; 4878]; [646; 10400]; [5094; 8734]; [4646; 7820]; [5031; 7631]; [4716; 6307]; [3222; 10007]; [1694; 2045]; [2745; 10607]; [4307; 10983]; [3185; 10879]; [666; 11402]; [4991; 7451]; [5359; 10321]; [4201; 9806]; [1403; 10914]; [4672; 8637]; [2807; 8452]; [436; 5463]; [587; 5632]; [2806; 11233]; [7526; 7838]; [6849; 8350]; [966; 5628]; [7868; 10958]; [2235; 9165]; [3038; 7045]; [610; 9938]; [7924; 11267]; [4342; 8883]; [2162; 3210]; [2051; 5823]; [1822; 9935]; [2808; 7522]; [918; 11222]; [10629; 11099]; [4371; 10752]; [5059; 8874]; [4123; 4988]; [6077; 8628]; [3316; 8837]; [4149; 9592]; [3213; 4952]; [1372; 5161]; [2217; 3267]; [2092; 7702]; [1023; 4226]; [2684; 8745]; [1208; 7389]; [5098; 9926]; [3052; 7451]; [9027; 10139]; [180; 6166]; [488; 4067]; [4379; 7960]; [3601; 11076]; [9583; 11525]; [4215; 6805]; [522; 6280]; [9383; 9959]; [1477; 8718]; [6313; 7161]; [5809; 5938]; [3262; 10829]; [7701; 7946]; [2004; 10864]; [695; 1512]; [6271; 7689]; [2009; 4792]; [1787; 5911]; [1541; 3226]; [1631; 9535]; [5294; 6431]; [5581; 9871]; [2375; 10218]; [808; 2328]; [2210; 5455]; [3330; 5486]; [7601; 11098]; [4702; 5738]; [5724; 9398]; [9491; 10781]; [8183; 11453]; [6686; 11472]; [4786; 8068]; [736; 7528]; [10326; 11582]; [462; 8457]; [2829; 7540]; [2643; 11322]; [78; 5084]; [3510; 10907]; [2574; 7021]; [5846; 10677]; [1044; 11064]; [6087; 7356]; [5937; 10795]; [6123; 7013]; [509; 1106]; [8609; 10514]; [1005; 8103]; [10189; 11469]; [8072; 9528]; [412; 10972]; [6726; 7464]; [7097; 9097]; [3654; 3839]; [1309; 6235]; [715; 5496]; [3822; 11559]; [1432; 4356]; [959; 1692]; [285; 9295]; [3676; 8701]; [3115; 6190]; [2394; 4178]; [5778; 8075]; [2335; 2817]; [6934; 8517]; [1237; 10681]; [3738; 8798]; [3349; 11497]; [7339; 9734]; [4906; 11529]; [6207; 8188]; [2136; 9023]; [8545; 8785]; [1332; 6754]; [10289; 10895]; [1827; 10897]; [4315; 8809]; [1505; 8402]; [2255; 9654]; [3624; 10389]; [911; 4253]; [3937; 8634]; [1017; 8813]; [4558; 4780]; [330; 7883]; [1440; 7226]; [8728; 10340]; [4671; 8629]; [2661; 11473]; [3714; 10282]; [4115; 10626]; [3521; 6477]; [1124; 2267]; [1600; 7858]; [7665; 7810]; [3086; 9932]; [8719; 9473]; [2096; 9193]; [7497; 9165]; [4360; 7397]; [5846; 8717]; [7403; 9503]; [1116; 2002]; [206; 9136]; [2360; 3008]; [3354; 11036]; [3139; 6910]; [4557; 10570]; [2946; 7269]; [327; 10594]; [3716; 9173]; [1034; 2350]; [1983; 4189]; [4089; 5217]; [9665; 11394]; [7767; 10315]; [3870; 6607]; [537; 11343]; [5996; 9011]; [3400; 7624]; [1483; 9501]; [8478; 8606]; [3996; 8409]; [9524; 10408]; [229; 3993]; [872; 3870]; [1739; 9871]; [1551; 4158]; [5069; 11253]; [2951; 6458]; [2018; 6253]; [9368; 10245]; [5476; 6881]; [6436; 8909]; [4471; 7362]; [2912; 3497]; [394; 7628]; [3358; 7721]; [5474; 9437]; [3507; 4811]; [1671; 4610]; [6483; 11357]; [2572; 3779]; [3162; 11192]; [356; 1859]; [3747; 7681]; [3373; 4996]; [1943; 10401]; [45; 3660]; [9349; 11292]; [416; 6047]; [194; 7166]; [4426; 7188]; [3989; 4181]; [5415; 7702]; [2961; 9374]; [1893; 3117]; [1994; 10339]; [2092; 6710]; [552; 7813]; [7214; 8021]; [2582; 10509]; [2666; 9456]; [2803; 9165]; [6502; 8724]; [2768; 6700]; [5879; 6466]; [3907; 7912]; [5128; 7995]; [8051; 11497]; [1565; 3409]; [9104; 10306]; [3228; 4591]; [1731; 8774]; [17; 10256]; [857; 5766]; [5578; 8231]; [2126; 11555]; [3373; 10607]; [6585; 7796]; [3020; 6547]; [2807; 8883]; [3614; 4253]; [7190; 9074]; [3442; 8118]; [423; 8291]; [2391; 9355]; [1111; 1495]; [367; 10611]; [5806; 6903]; [2874; 5567]; [4066; 7918]; [8773; 10677]; [239; 9113]; [2267; 10982]; [297; 8337]; [4849; 7775]; [4772; 5865]; [2499; 9827]; [357; 474]; [6239; 9387]; [8978; 11082]; [4188; 5814]; [3152; 11146]; [5168; 9248]; [7602; 10307]; [8218; 8361]; [6356; 6939]; [6454; 8228]; [6946; 8690]; [8472; 9409]; [3948; 8986]; [536; 2287]; [3421; 9469]; [317; 3677]; [6165; 11508]; [5601; 9480]; [336; 1475]; [279; 941]; [3737; 7985]; [2713; 7662]; [1808; 5341]; [7054; 8408]; [343; 8281]; [801; 2743]; [9610; 10396]; [2798; 3047]; [1706; 2031]; [5400; 7662]; [45; 895]; [5485; 7211]; [4867; 8330]; [5493; 11236]; [3445; 7180]; [2189; 8042]; [1098; 9503]; [1227; 5187]; [8441; 10072]; [2191; 8088]; [2466; 3597]; [6134; 8007]; [5953; 9127]; [900; 5731]; [4045; 8114]; [6032; 7730]; [3461; 8063]; [7372; 9225]; [7062; 11251]; [3454; 6892]; [3696; 6425]; [4356; 8915]; [607; 5105]; [3067; 7385]; [1296; 6081]; [5561; 8495]; [865; 2862]; [1794; 3325]; [4152; 5328]; [4085; 4106]; [2627; 9715]; [294; 7210]; [3341; 9058]; [4642; 4963]; [445; 7379]; [6641; 9477]; [3857; 3875]; [2427; 10034]; [873; 9519]; [1222; 7421]; [374; 5634]; [1896; 8863]; [7037; 8696]; [7460; 11273]; [870; 6215]; [147; 9792]; [682; 6918]; [520; 8842]; [5497; 6766]; [1522; 8063]; [7267; 7845]; [5868; 8399]; [8954; 9421]; [1232; 3571]; [76; 1631]; [4998; 8516]; [1421; 4224]; [1675; 7524]; [6295; 7685]; [4094; 6797]; [7167; 7614]; [3030; 10081]; [852; 1071]; [951; 4460]; [1531; 7021]; [5610; 10965]; [4827; 9573]; [6110; 11288]; [8037; 10099]; [1566; 3043]; [6007; 7403]; [6041; 6233]; [1412; 8992]; [8583; 10797]; [647; 5927]; [4014; 4939]; [7692; 10037]; [11110; 11266]; [3975; 4230]; [5072; 6721]; [6443; 10535]; [1555; 8896]; [5817; 7629]; [8745; 11475]; [2169; 11041]; [3232; 10538]; [520; 5004]; [2827; 6288]; [2476; 4553]; [6825; 9324]; [142; 4829]; [10881; 11564]; [6022; 10663]; [6335; 9662]; [1535; 3706]; [1065; 7729]; [3463; 6125]; [3365; 5590]; [3334; 4025]; [316; 2915]; [1752; 5626]; [5580; 11449]; [6860; 8729]; [315; 3444]; [6734; 10310]; [4885; 9123]; [4541; 9313]; [6636; 6742]; [34; 6585]; [6314; 10663]; [1837; 10810]; [10051; 10706]; [5634; 10904]; [9524; 11189]; [3357; 4544]; [7581; 11121]; [6741; 6943]; [1820; 5164]; [3623; 9389]; [10453; 10871]; [2069; 5868]; [448; 8295]; [83; 3444]; [2075; 9820]; [6896; 7231]; [3506; 5017]; [8072; 10577]; [2032; 10123]; [4806; 7086]; [1781; 3307]; [4609; 9955]; [3231; 4970]; [5538; 6254]; [5975; 7009]; [2580; 10113]; [4505; 8851]; [1929; 8840]; [3985; 10505]; [1425; 5365]; [7118; 11373]; [2273; 7152]; [1263; 6535]; [3353; 10036]; [2644; 4621]; [9547; 11307]; [5680; 8939]; [608; 5493]; [611; 9174]; [1669; 8327]; [4086; 6773]; [1216; 6315]; [3806; 7887]; [43; 6623]; [8845; 8941]; [3717; 7815]; [1649; 2383]; [10812; 11288]; [4356; 4540]; [4581; 7102]; [273; 1608]; [6532; 11225]; [3445; 8066]; [6375; 7077]; [5376; 8504]; [8235; 10301]; [986; 6361]; [3966; 3981]; [2849; 8385]; [6390; 10768]; [820; 2127]; [2223; 8862]; [4991; 10541]; [5058; 9511]; [569; 8143]; [5832; 8905]; [4899; 10952]; [3842; 8991]; [8198; 10769]; [8628; 10353]; [4519; 8452]; [1333; 3816]; [8877; 11057]; [4887; 10568]; [752; 9698]; [2371; 4946]; [1810; 6599]; [564; 10401]; [6598; 11040]; [1734; 7543]; [2212; 4135]; [5971; 7909]; [7280; 8593]; [1447; 7486]; [1426; 6609]; [5942; 6390]; [3667; 9525]; [4777; 8868]; [6556; 7781]; [3686; 7323]; [554; 10063]; [2753; 7118]; [5647; 5718]; [10749; 11258]; [4627; 8520]; [6733; 10302]; [769; 11156]; [811; 3488]; [4458; 7021]; [6911; 8130]; [4705; 6898]; [1560; 5269]; [3045; 3735]; [3638; 10665]; [10060; 10632]; [1714; 2703]; [8274; 8296]; [9805; 10113]; [3611; 5809]; [5006; 7765]; [2955; 4192]; [4128; 7267]; [1741; 10161]; [6665; 11457]; [306; 8806]; [2384; 3622]; [4440; 6041]; [4228; 7848]; [3041; 6595]; [295; 4483]; [6941; 9820]; [2734; 5132]; [428; 1040]; [9049; 10894]; [5126; 5965]; [3653; 10542]; [2075; 9633]; [3412; 8201]; [53; 4546]; [2417; 6364]; [9472; 10438]; [10566; 11500]; [2495; 11158]; [874; 7169]; [4635; 10989]; [5879; 6360]; [7348; 10709]; [2279; 6780]; [1959; 7364]; [343; 3719]; [6341; 8111]; [8082; 10704]; [1519; 10475]; [5290; 9348]; [238; 8806]; [3316; 9967]; [1475; 7924]; [8735; 8990]; [6832; 7567]; [1267; 10604]; [1596; 2966]; [2075; 8828]; [8947; 9812]; [7271; 8368]; [1072; 10136]; [982; 7210]; [2847; 5143]; [5051; 9712]; [3428; 10558]; [6363; 9159]; [102; 3633]; [3806; 7700]; [2622; 5964]; [62; 70]; [510; 10783]; [2869; 5841]; [5472; 7675]; [4954; 6746]; [752; 10316]; [52; 2765]; [2457; 4584]; [2636; 6801]; [8280; 10638]; [2301; 9706]; [6525; 9867]; [673; 8710]; [2447; 3115]; [1417; 9393]; [1052; 4542]; [8520; 10475]; [4473; 5288]; [6090; 10289]; [4366; 4667]; [4144; 6540]; [2342; 5923]; [2032; 11359]; [4525; 8861]; [566; 10691]; [5802; 7378]; [950; 1232]; [3556; 8999]; [3396; 5334]; [779; 5322]; [197; 6098]; [4328; 5314]; [3997; 6463]; [7229; 10720]; [8004; 10716]; [3358; 5200]; [8839; 11517]; [1238; 3742]; [2046; 8382]; [1079; 9347]; [4157; 9754]; [2070; 6524]; [210; 267]; [5345; 8199]; [3354; 11093]; [4412; 7994]; [2194; 5247]; [2849; 7393]; [4651; 7229]; [7574; 10731]; [793; 2695]; [6739; 6897]; [1438; 9815]; [2221; 7043]; [1226; 5960]; [3903; 6023]; [3118; 7968]; [410; 6340]; [6191; 8785]; [3990; 8651]; [3264; 7793]; [5607; 8734]; [4449; 5967]; [8554; 10378]; [3490; 6793]; [2549; 8979]; [5570; 9606]; [3397; 4350]; [7244; 10223]; [3137; 9149]; [9090; 11112]; [3949; 4863]; [4384; 11207]; [1031; 1705]; [10027; 11436]; [6622; 8190]; [10295; 10692]; [1177; 4913]; [2820; 11135]; [260; 5241]; [2422; 3892]; [3662; 8189]; [1816; 8054]; [3373; 8086]; [7979; 10793]; [3758; 8651]; [4684; 5433]; [1203; 3101]; [2010; 9051]; [3928; 5864]; [3371; 8390]; [9131; 9958]; [7730; 10439]; [2208; 10914]; [255; 10882]; [2901; 9380]; [2390; 10396]; [5237; 9150]; [5533; 5536]; [524; 5822]; [6625; 7683]; [926; 3358]; [184; 9137]; [2708; 5952]; [1276; 11284]; [3533; 8317]; [552; 8220]; [5435; 9515]; [581; 2542]; [6401; 8325]; [1379; 4242]; [5310; 7534]; [764; 5632]; [7383; 8422]; [1000; 1213]; [4900; 9356]; [6180; 6636]; [3181; 10494]; [3551; 9273]; [7535; 9193]; [7077; 8315]; [31; 4734]; [6039; 6404]; [2113; 6839]; [6282; 6539]; [4203; 7334]; [7004; 9907]; [1431; 10417]; [836; 6824]; [3451; 6009]; [276; 7167]; [3103; 4545]; [9455; 10189]; [5128; 6897]; [649; 3965]; [2144; 3119]; [6345; 7992]; [1579; 3872]; [1391; 10237]; [5909; 10845]; [5685; 8885]; [2440; 9304]; [1767; 6552]; [1822; 10423]; [5908; 10620]; [3873; 7580]; [8107; 8429]; [25; 10904]; [2291; 9181]; [2726; 9109]; [422; 926]; [9790; 10263]; [79; 3970]; [2276; 7368]; [9662; 11017]; [6104; 6775]; [5703; 6431]; [3127; 6420]; [5768; 10990]; [7504; 9075]; [1993; 8211]; [1026; 5012]; [3524; 3612]; [320; 10448]; [3326; 9289]; [1831; 3719]; [5261; 8715]; [1123; 8328]; [259; 6008]; [3898; 9680]; [1651; 8447]; [3948; 9043]; [1031; 8739]; [3043; 10105]; [8053; 10421]; [3879; 7344]; [200; 10689]; [4159; 9613]; [2354; 9479]; [365; 6784]; [263; 8759]; [4989; 9316]; [1286; 8857]; [5484; 7043]; [8233; 9426]; [3651; 11277]; [10246; 10263]; [2751; 2884]; [6908; 8239]; [2835; 8247]; [1002; 6065]; [1003; 6667]; [3851; 4922]; [5597; 7859]; [4358; 6416]; [5071; 5534]; [3918; 9527]; [5131; 5585]; [8959; 11408]; [3142; 3644]; [4726; 7751]; [6276; 7366]; [5526; 6114]; [9199; 10868]; [2598; 7903]; [6930; 9287]; [2073; 2797]; [10815; 11480]; [1567; 11327]; [545; 1251]; [1767; 11358]; [348; 4120]; [5523; 9199]; [392; 10054]; [3759; 11318]; [294; 7267]; [3116; 4301]; [8630; 8846]; [3155; 9891]; [321; 11342]; [4457; 9404]; [10126; 10854]; [10659; 11317]; [6140; 11238]; [2840; 7786]; [2212; 8217]; [7008; 10267]; [243; 512]; [4418; 5662]; [378; 6564]; [4569; 5831]; [3762; 4045]; [4379; 9871]; [2739; 7330]; [270; 1554]; [609; 1020]; [2145; 7345]; [144; 9551]; [8829; 9032]; [513; 4695]; [2632; 3676]; [9672; 9694]; [3647; 6165]; [2747; 4188]; [5470; 11012]; [7356; 10576]; [4083; 8947]; [2071; 10964]; [6734; 7789]; [6257; 8389]; [416; 11528]; [8654; 9566]; [1956; 3285]; [4669; 5257]; [904; 8084]; [3328; 9953]; [7161; 9704]; [10337; 11400]; [432; 1858]; [774; 5759]; [2947; 3845]; [3640; 8727]; [6190; 6763]; [9025; 10418]; [5997; 9374]; [242; 8150]; [2707; 8522]; [584; 5635]; [5136; 10735]; [1914; 6442]; [2268; 7694]; [1575; 2812]; [7486; 8713]; [6935; 11054]; [1923; 7659]; [5968; 7855]; [7683; 9227]; [362; 3721]; [1573; 9532]; [1785; 7725]; [8052; 10787]; [2663; 10852]; [2041; 8819]; [5279; 7229]; [5341; 8107]; [1664; 6617]; [4305; 7023]; [855; 4004]; [9900; 10244]; [1254; 7685]; [2532; 2640]; [3297; 10616]; [8310; 10449]; [1679; 6144]; [3145; 3779]; [3761; 5997]; [6223; 8350]; [1370; 11401]; [4906; 7024]; [770; 1048]; [3687; 6987]; [7709; 9643]; [985; 2141]; [2282; 6972]; [7273; 10244]; [4183; 7568]; [4462; 6983]; [5683; 7066]; [5019; 7840]; [1966; 8429]; [5207; 10520]; [4961; 7835]; [6893; 6990]; [5394; 10346]; [1196; 3492]; [7725; 9772]; [1094; 5467]; [1496; 7167]; [2865; 10154]; [1925; 2362]; [7900; 11466]; [1938; 6731]; [5314; 11521]; [7156; 7750]; [6337; 10865]; [936; 4477]; [1337; 2569]; [9078; 9223]; [4568; 6978]; [3317; 7430]; [4818; 10536]; [2757; 6275]; [5752; 11343]; [2481; 6377]; [8016; 9547]; [7512; 8324]; [2653; 5171]; [4213; 5474]; [5240; 8724]; [7415; 8391]; [5892; 7189]; [1539; 2676]; [5489; 9428]; [3304; 9827]; [888; 1403]; [1127; 10087]; [1839; 5597]; [690; 4047]; [4353; 8113]; [3735; 9232]; [2250; 4350]; [3869; 5260]; [2685; 4278]; [6654; 8828]; [743; 7064]; [1333; 8061]; [1892; 5581]; [2234; 8728]; [3951; 6763]; [2230; 4822]; [5807; 7616]; [6675; 10055]; [3163; 6158]; [2201; 3303]; [8236; 10960]; [4535; 7164]; [194; 5694]; [4378; 6426]; [3158; 9197]; [4930; 6939]; [1629; 4016]; [1787; 4602]; [99; 5807]; [6948; 11503]; [3930; 4731]; [654; 10001]; [7321; 10553]; [9993; 10272]; [8198; 10826]; [7472; 8470]; [226; 4047]; [5627; 11189]; [1098; 11146]; [1685; 7708]; [7227; 7885]; [962; 11285]; [4415; 11569]; [22; 9909]; [2008; 5890]; [9860; 11032]; [2880; 5819]; [677; 4858]; [4157; 6965]; [6388; 9193]; [1964; 5968]; [1292; 10234]; [5414; 5954]; [62; 11536]; [3341; 10701]; [6448; 9594]; [1749; 10860]; [130; 3534]; [4550; 7017]; [4170; 7550]; [8684; 9914]; [2144; 11389]; [1213; 1431]; [2049; 8119]; [6567; 8727]; [8484; 9102]; [5844; 11550]; [77; 2395]; [6439; 9481]; [2758; 9747]; [4033; 7437]; [3757; 5287]; [2198; 8592]; [6864; 11350]; [259; 1096]; [4873; 7828]; [1914; 2417]; [2197; 4957]; [3597; 11421]; [2322; 3151]; [3375; 6124]; [5763; 8336]; [7325; 9466]; [9628; 11008]; [2811; 3315]; [194; 7467]; [6360; 9723]; [1711; 3936]; [1031; 4177]; [313; 8098]; [3794; 4014]; [7307; 10765]; [5318; 8070]; [1617; 2022]; [6188; 7926]; [4501; 4815]; [612; 11548]; [4595; 8614]; [582; 759]; [5155; 6736]; [139; 6605]; [4521; 9604]; [3196; 6135]; [6730; 7347]; [5142; 5750]; [6824; 6982]; [2627; 9398]; [9377; 9453]; [2790; 11082]; [3463; 7418]; [1565; 7093]; [3898; 7346]; [9847; 11065]; [3063; 3512]; [9193; 10275]; [9131; 9397]; [4107; 10903]; [3372; 11437]; [6006; 8420]; [4892; 11587]; [3392; 5673]; [7998; 8380]; [377; 8998]; [3297; 5786]; [8243; 10813]; [6531; 6706]; [609; 646]; [2890; 7125]; [1398; 5236]; [1644; 2259]; [1642; 5596]; [7829; 8729]; [917; 8346]; [6001; 7645]; [3341; 10969]; [8323; 9237]; [1191; 10800]; [3412; 6648]; [6478; 9704]; [8189; 9422]; [2067; 7438]; [1659; 9333]; [157; 9008]; [2583; 6042]; [5332; 7671]; [3302; 4975]; [4267; 7347]; [8193; 10295]; [3455; 5971]; [67; 6082]; [3150; 5335]; [7415; 7749]; [1899; 2377]; [428; 1365]; [10398; 11302]; [4882; 5930]; [3084; 6967]; [4665; 8147]; [10148; 10373]; [1986; 4251]; [1189; 10323]; [7997; 9602]; [3946; 5427]; [4032; 10863]; [2208; 6515]; [1358; 8065]; [525; 8064]; [62; 6088]; [4658; 8107]; [10638; 11139]; [6744; 6948]; [7805; 9782]; [1293; 6889]; [3154; 8086]; [638; 8126]; [1328; 2911]; [7138; 8006]; [2437; 8445]; [7258; 8108]; [7416; 9448]; [6264; 10633]; [6114; 6902]; [2836; 11345]; [2832; 8193]; [4549; 10392]; [2703; 3087]; [674; 3999]; [966; 7783]; [6842; 7082]; [8622; 8849]; [6197; 9007]; [3447; 7153]; [2449; 8805]; [3101; 6516]; [4878; 11018]; [9384; 10111]; [6767; 7847]; [7548; 8412]; [2880; 4827]; [1606; 10745]; [349; 7218]; [569; 3020]; [4464; 6655]; [3686; 9771]; [8564; 10722]; [3280; 9083]; [224; 5991]; [2715; 9082]; [4329; 10402]; [4198; 4469]; [4607; 9592]; [3013; 3262]; [1151; 2594]; [4043; 6783]; [1030; 4519]; [3256; 6403]; [5093; 8704]; [8957; 10774]; [3666; 7964]; [1085; 7609]; [1584; 9242]; [10763; 11510]; [3196; 8981]; [2570; 6075]; [5935; 10676]; [2133; 6074]; [7717; 9106]; [398; 4427]; [618; 8897]; [5054; 6497]; [3973; 5640]; [117; 4185]; [3527; 7805]; [1949; 6896]; [760; 4816]; [913; 5058]; [414; 4179]; [1221; 2959]; [290; 5833]; [4925; 7026]; [257; 3441]; [7046; 9840]; [1223; 9421]; [2152; 10638]; [1637; 8472]; [2213; 7127]; [6175; 9732]; [8183; 10225]; [6041; 9917]; [10543; 11520]; [2570; 8303]; [5947; 10255]; [4507; 8556]; [3664; 7113]; [873; 5982]; [4758; 5923]; [4107; 11066]; [9165; 9918]; [2508; 10808]; [6830; 7340]; [8170; 8835]; [1138; 3432]; [3763; 10475]; [5776; 11312]; [2934; 6486]; [396; 2795]; [3632; 4542]; [6899; 8608]; [4492; 9372]; [3434; 4557]; [2379; 4921]; [5529; 7648]; [8320; 9533]; [5732; 8007]; [632; 8929]; [2678; 5742]; [1497; 7687]; [4401; 6975]; [3248; 10968]; [6302; 7571]; [8095; 10354]; [1185; 5880]; [8662; 9647]; [1028; 5896]; [5952; 7192]; [3928; 7694]; [7818; 10985]; [11226; 11526]; [4195; 8977]; [4735; 6447]; [3481; 3972]; [3788; 10316]; [4967; 5292]; [4787; 10020]; [5059; 8264]; [6753; 11011]; [7894; 9667]; [2042; 10762]; [3687; 7231]; [9196; 11432]; [4242; 5009]; [5375; 9409]; [7149; 7978]; [6079; 8064]; [10726; 10772]; [2351; 9238]; [1126; 10911]; [1411; 1446]; [2493; 11573]; [9509; 10027]; [6419; 7351]; [2781; 11451]; [3216; 11379]; [7602; 9616]; [5071; 8624]; [2650; 6272]; [1373; 8509]; [5879; 6848]; [4757; 5990]; [3573; 8418]; [2931; 4979]; [7903; 9729]; [1886; 6061]; [6619; 10795]; [7302; 7819]; [331; 10239]; [866; 7365]; [1136; 11198]; [3543; 7428]; [273; 9480]; [2477; 9885]; [2138; 4003]; [2194; 10728]; [11153; 11532]; [4377; 10256]; [3682; 9465]; [6739; 8995]; [3692; 3737]; [3616; 11097]; [498; 10537]; [7067; 8302]; [314; 2314]; [4826; 11021]; [3427; 5159]; [10519; 10613]; [3139; 7910]; [7125; 8657]; [2147; 6344]; [6042; 7727]; [4048; 4688]; [3353; 6149]; [2673; 6390]; [1049; 2130]; [1054; 2474]; [4106; 8830]; [1616; 10091]; [1700; 2622]; [245; 9660]; [3574; 8188]; [3135; 11524]; [50; 2776]; [2663; 5298]; [1875; 4316]; [1412; 2340]; [2564; 10954]; [3314; 9954]; [9470; 11522]; [1070; 6740]; [918; 9352]; [6109; 7794]; [469; 4830]; [5921; 8497]; [322; 1370]; [4730; 9754]; [2206; 3517]; [2049; 5785]; [1219; 9465]; [9144; 9258]; [5792; 9026]; [5100; 5500]; [2713; 8394]; [3821; 6910]; [3628; 7269]; [343; 2597]; [675; 11472]; [491; 2495]; [4534; 6028]; [4045; 10001]; [9298; 10075]; [1972; 4225]; [5065; 5664]; [6679; 6984]; [1321; 9368]; [2162; 9984]; [6936; 7549]; [1785; 7782]; [3978; 11408]; [10385; 11097]; [299; 9091]; [5827; 11090]; [2128; 10750]; [7135; 7385]; [2498; 3867]; [4805; 5151]; [9712; 10250]; [3698; 4601]; [336; 4435]; [6098; 6830]; [3057; 4770]; [2432; 8882]; [4225; 7501]; [3301; 5130]; [1062; 7922]; [5869; 10161]; [7208; 8021]; [2819; 3851]; [9613; 10594]; [6399; 10326]; [5833; 7471]; [1041; 5540]; [5526; 10172]; [10008; 10369]; [7673; 7791]; [2982; 8918]; [6394; 9201]; [8352; 9577]; [1538; 9729]; [2689; 4909]; [13; 7700]; [6357; 7067]; [4557; 7277]; [1873; 6043]; [6792; 6995]; [1163; 7573]; [719; 4149]; [1431; 1911]; [1871; 8599]; [873; 3835]; [4166; 6116]; [6655; 6882]; [10760; 11293]; [144; 427]; [7986; 11297]; [3235; 5957]; [4998; 5865]; [622; 6818]; [8209; 9999]; [4305; 5120]; [4936; 8370]; [1046; 5833]; [3776; 8940]; [980; 7465]; [1319; 6931]; [1221; 3390]; [792; 7414]; [3464; 7133]; [4398; 4530]; [3754; 10844]; [3064; 10397]; [757; 2697]; [4872; 7796]; [3998; 4788]; [1247; 1578]; [8225; 10882]; [1212; 3277]; [654; 10863]; [1220; 3138]; [5115; 10937]; [5418; 7740]; [2343; 6850]; [7873; 9676]; [784; 3739]; [3143; 5213]; [751; 7763]; [5670; 8715]; [4424; 10265]; [3142; 5742]; [406; 1312]; [5156; 9433]; [1605; 6362]; [2926; 3643]; [4968; 9382]; [398; 7086]; [6616; 9532]; [2610; 5100]; [1386; 10381]; [820; 5274]; [6124; 6791]; [3536; 5265]; [2192; 5526]; [2039; 3032]; [397; 6834]; [2870; 2960]; [2221; 4766]; [7549; 10087]; [6541; 11051]; [2623; 7964]; [1174; 9909]; [761; 11460]; [2788; 4059]; [3676; 4521]; [386; 5921]; [102; 6162]; [6361; 9363]; [817; 8359]; [3952; 10054]; [3241; 3812]; [10056; 11432]; [1193; 11090]; [5818; 10841]; [8715; 8958]; [1284; 4038]; [3997; 6764]; [7595; 9681]; [4487; 9809]; [380; 4571]; [251; 2471]; [7513; 10780]; [4234; 5953]; [7415; 7993]; [1529; 3842]; [906; 3863]; [1002; 10741]; [7253; 9163]; [839; 2641]; [6999; 8115]; [217; 608]; [4605; 10969]; [8301; 11011]; [6990; 7248]; [3669; 7083]; [78; 449]; [2317; 6702]; [2327; 11554]; [7857; 10216]; [4058; 9295]; [3034; 3310]; [4806; 7468]; [1542; 7837]; [208; 3124]; [731; 5151]; [2200; 9500]; [8143; 10021]; [2350; 6061]; [4583; 9116]; [2413; 10547]; [9598; 9776]; [4433; 6139]; [10438; 10921]; [8124; 8466]; [5973; 7695]; [6420; 9138]; [904; 3766]; [4916; 5734]; [1304; 11055]; [10950; 11254]; [3694; 4645]; [8148; 9210]; [772; 3997]; [6936; 9590]; [5057; 7063]; [11034; 11332]; [3198; 10076]; [2653; 5846]; [2971; 4435]; [3124; 7683]; [4533; 5565]; [5155; 10981]; [5031; 9225]; [77; 2802]; [6763; 7568]; [3098; 9845]; [9507; 9607]; [2592; 11205]; [5985; 11438]; [3435; 6232]; [2163; 8813]; [2461; 6026]; [38; 9263]; [3190; 6401]; [4419; 7156]; [1714; 11461]; [7047; 10710]; [1464; 4116]; [1899; 4044]; [10646; 10819]; [11112; 11558]; [3149; 9029]; [7215; 7850]; [4324; 7269]; [5414; 8589]; [1672; 1786]; [3824; 5411]; [6287; 11372]; [703; 5307]; [2382; 7022]; [1236; 1606]; [6745; 9971]; [492; 10722]; [9502; 11491]; [5625; 9159]; [109; 3787]; [5279; 8522]; [7815; 8380]; [4686; 10637]; [230; 5245]; [2212; 10933]; [1715; 3711]; [1601; 6807]; [5018; 7434]; [434; 2042]; [7013; 11075]; [1562; 6098]; [965; 1678]; [373; 8182]; [39; 9060]; [8333; 10413]; [4720; 6464]; [3017; 9990]; [7647; 10839]; [6652; 11254]; [4943; 5166]; [795; 4091]; [3723; 7937]; [3315; 6422]; [4503; 8277]; [454; 7181]; [1975; 7556]; [5648; 10058]; [3093; 4508]; [8359; 8951]; [4061; 4899]; [845; 3804]; [9277; 11507]; [5273; 7148]; [3484; 7547]; [648; 6673]; [904; 4384]; [1879; 7444]; [5172; 10479]; [6101; 6778]; [3823; 10396]; [9805; 10845]; [2776; 9123]; [2174; 10775]; [7683; 8560]; [2017; 6627]; [2213; 3533]; [5533; 10643]; [8432; 9587]; [4841; 7117]; [2351; 2716]; [4097; 5653]; [3787; 11089]; [3350; 8082]; [3625; 5843]; [6123; 8607]; [1603; 7926]; [458; 9528]; [2005; 4708]; [7555; 9664]; [2634; 5633]; [4895; 10736]; [361; 3179]; [478; 4518]; [2434; 11237]; [3093; 3703]; [1814; 2861]; [1411; 8106]; [7512; 9967]; [72; 6459]; [5576; 10316]; [162; 8604]; [649; 8722]; [3214; 8544]; [6683; 9361]; [8599; 10235]; [4143; 4843]; [4640; 5649]; [337; 6915]; [65; 2255]; [3735; 7492]; [8437; 9907]; [1930; 7358]; [125; 9476]; [2704; 6752]; [6620; 8258]; [5995; 8206]; [6220; 10768]; [4635; 8688]; [3233; 3309]; [3516; 11511]; [3727; 10233]; [4596; 5727]; [7698; 11446]; [7204; 10911]; [8978; 9480]; [886; 1845]; [887; 11115]; [1453; 3390]; [8235; 8618]; [986; 11094]; [1535; 5674]; [5934; 10532]; [2402; 5259]; [1068; 6962]; [7174; 9167]; [8194; 11246]; [546; 7789]; [2248; 4792]; [9493; 11242]; [5138; 5902]; [623; 9729]; [10024; 10878]; [4382; 7087]; [7974; 10913]; [842; 7558]; [2994; 5521]; [2578; 3391]; [2581; 3662]; [6727; 8074]; [5918; 6215]; [10892; 11038]; [18; 8050]; [10084; 11279]; [1746; 9627]; [4348; 8607]; [2295; 4207]; [245; 3488]; [7774; 9697]; [1133; 3950]; [5802; 11143]; [5179; 5502]; [598; 3791]; [2192; 2924]; [2522; 5310]; [2897; 4433]; [1627; 7841]; [5484; 5734]; [4737; 4753]; [1691; 8765]; [504; 7512]; [3859; 6507]; [3403; 6456]; [4291; 6918]; [4583; 10702]; [1865; 9884]; [3521; 10649]; [472; 7974]; [2554; 4444]; [472; 1558]; [7430; 8732]; [1645; 11049]; [6440; 10245]; [4191; 5933]; [4982; 7186]; [5720; 11087]; [4080; 9300]; [9173; 11371]; [2113; 10336]; [549; 6881]; [8983; 11247]; [3496; 8525]; [4555; 10532]; [76; 7600]; [2632; 9588]; [1622; 3309]; [4094; 6350]; [1283; 3843]; [76; 10983]; [632; 2570]; [2527; 11265]; [3826; 10507]; [5; 9238]; [273; 9992]; [2988; 7129]; [7029; 7583]; [3639; 4615]; [1366; 5167]; [5285; 10354]; [242; 7646]; [330; 3329]; [1422; 5476]; [4839; 6103]; [1394; 10598]; [2977; 5435]; [5559; 6392]; [1457; 1498]; [5870; 10226]; [1321; 2391]; [326; 9976]; [766; 7242]; [6275; 11443]; [635; 4315]; [1077; 5414]; [7073; 8979]; [4681; 11529]; [6; 10937]; [1869; 2381]; [6700; 7650]; [1652; 3844]; [98; 7493]; [2498; 9722]; [6512; 7599]; [8222; 10879]; [10056; 10253]; [6131; 10159]; [2238; 7324]; [2515; 10076]; [741; 5091]; [8429; 9078]; [1541; 9089]; [3449; 3686]; [5037; 10201]; [2351; 8140]; [391; 10347]; [3353; 7361]; [2849; 3132]; [5028; 5170]; [4718; 10606]; [9625; 10043]; [1851; 7413]; [756; 4968]; [2530; 3537]; [5582; 9893]; [10157; 10281]; [1439; 2746]; [377; 6103]; [6101; 8014]; [6882; 8579]; [1397; 2520]; [2809; 6335]; [8743; 9022]; [620; 9244]; [4203; 8066]; [1338; 8706]; [7268; 8241]; [5191; 5699]; [8298; 11008]; [3319; 3589]; [7589; 10511]; [7080; 8190]; [7582; 9340]; [987; 11108]; [3870; 11047]; [2060; 4153]; [4367; 5437]; [10531; 11030]; [1192; 4343]; [11; 7042]; [2277; 5319]; [919; 8880]; [3161; 3353]; [6726; 10294]; [1258; 6094]; [630; 8777]; [2226; 8737]; [1161; 1997]; [2155; 10025]; [307; 395]; [5203; 6059]; [8303; 8699]; [5104; 9463]; [66; 683]; [8458; 8987]; [922; 1607]; [6596; 8319]; [56; 3378]; [5066; 9329]; [6675; 9551]; [6406; 11578]; [9849; 10420]; [1077; 6032]; [2403; 10103]; [815; 7752]; [2401; 9276]; [2807; 7712]; [281; 7818]; [5482; 6948]; [2188; 5196]; [4884; 9473]; [2019; 9359]; [2769; 4195]; [5004; 8077]; [1394; 3645]; [8370; 9116]; [4108; 6219]; [6415; 7503]; [3237; 3482]; [1047; 2783]; [6466; 8222]; [5566; 6245]; [8052; 9746]; [5970; 11024]; [6844; 7616]; [8652; 11431]; [146; 1335]; [6061; 10388]; [3315; 8276]; [2358; 3513]; [168; 2814]; [6303; 9921]; [2046; 8122]; [1418; 8553]; [236; 1228]; [2852; 3267]; [4182; 11244]; [2991; 6085]; [3376; 5896]; [6015; 10393]; [5113; 5337]; [4324; 10546]; [1719; 5633]; [2933; 8709]; [5818; 9475]; [1124; 7675]; [1425; 8569]; [3018; 4094]; [2806; 6655]; [4363; 6687]; [3976; 6049]; [3168; 10454]; [8462; 11283]; [1368; 5002]; [4480; 10655]; [3602; 10911]; [5164; 11287]; [2131; 3483]; [121; 2163]; [1332; 1558]; [5595; 7309]; [3809; 7225]; [4561; 7052]; [3435; 8704]; [6759; 6888]; [11152; 11177]; [8127; 9650]; [571; 9165]; [1459; 9627]; [688; 3334]; [6758; 10046]; [500; 10453]; [2732; 3484]; [4705; 5646]; [2523; 9726]; [847; 8282]; [114; 10417]; [3235; 8242]; [2650; 5337]; [897; 1229]; [4699; 5831]; [3577; 11389]; [9872; 10083]; [7346; 9435]; [901; 1348]; [6100; 10985]; [1366; 9786]; [9256; 10524]; [6561; 9101]; [6432; 11165]; [8271; 10129]; [477; 1959]; [2748; 6969]; [5709; 6791]; [5636; 11416]; [2207; 3612]; [2468; 8083]; [7910; 11062]; [5448; 5703]; [8063; 11304]; [2146; 5588]; [220; 963]; [3149; 7663]; [3641; 8125]; [8271; 8974]; [1426; 3397]; [1871; 10429]; [1021; 5563]; [6129; 9420]; [5876; 11226]; [176; 3293]; [6970; 10036]; [983; 2827]; [7304; 9158]; [956; 10803]; [5001; 7993]; [5393; 11257]; [1914; 3336]; [10291; 11332]; [389; 7723]; [3009; 11416]; [2257; 10091]; [8659; 8682]; [9562; 10176]; [7233; 10796]; [2875; 5939]; [2279; 4373]; [1286; 6369]; [6599; 10658]; [5797; 9216]; [873; 4510]; [2435; 4886]; [6036; 11484]; [177; 9910]; [7054; 11238]; [6997; 10704]; [3733; 6909]; [8060; 10201]; [5687; 10549]; [3548; 11293]; [3137; 9507]; [2333; 7992]; [7176; 9888]; [2384; 10209]; [6780; 9134]; [9918; 10346]; [4531; 7828]; [4001; 11046]; [8108; 9868]; [6124; 8271]; [2358; 3326]; [456; 2505]; [6653; 7080]; [4091; 4523]; [4086; 4179]; [261; 2037]; [7641; 8123]; [1381; 5451]; [4511; 6802]; [3991; 4292]; [5300; 7228]; [7478; 9822]; [2066; 8937]; [4886; 11560]; [8943; 11019]; [1459; 3829]; [2675; 6951]; [2262; 11508]; [2957; 5883]; [3597; 6997]; [840; 11112]; [2628; 7135]; [3567; 8286]; [6588; 8159]; [1101; 2027]; [333; 6585]; [336; 10266]; [6616; 7174]; [2321; 2639]; [6832; 7738]; [10750; 10825]; [3165; 6936]; [1909; 10050]; [6520; 10849]; [6736; 11413]; [8443; 8760]; [198; 7299]; [4833; 7738]; [4518; 8666]; [6297; 8333]; [4979; 7563]; [1288; 8619]; [4079; 5586]; [7074; 11408]; [8965; 10562]; [4514; 5514]; [5086; 11567]; [9876; 10419]; [4668; 9364]; [8506; 9459]; [10469; 10933]; [99; 9922]; [686; 822]; [6064; 7758]; [364; 4743]; [3765; 11253]; [2141; 9245]; [5315; 10114]; [3639; 5664]; [8649; 8986]; [1020; 9743]; [1245; 8141]; [3640; 9272]; [2293; 5852]; [4355; 11469]; [2201; 6263]; [425; 11031]; [2784; 6089]; [1020; 6710]; [5992; 6542]; [6497; 11373]; [451; 9219]; [3288; 11449]; [1268; 9441]; [10440; 11292]; [2875; 3174]; [4153; 10207]; [2398; 3020]; [823; 8044]; [3753; 6301]; [1817; 9656]; [5385; 8200]; [1589; 4544]; [3987; 5192]; [1834; 7758]; [268; 3476]; [4501; 6352]; [7302; 8925]; [2267; 10242]; [5312; 9011]; [5432; 6861]; [4680; 5536]; [4221; 10849]; [2282; 7517]; [1536; 2974]; [170; 258]; [8669; 9183]; [3313; 5978]; [2368; 6510]; [4805; 11250]; [6259; 10403]; [5734; 7549]; [3120; 4802]; [3211; 11336]; [4142; 8462]; [1750; 11012]; [253; 8779]; [4735; 8976]; [2677; 4232]; [7159; 9347]; [3630; 10007]; [2122; 9837]; [4949; 6461]; [128; 6798]; [8278; 9153]; [3985; 11107]; [4596; 8817]; [1151; 6896]; [3948; 5563]; [7585; 7654]; [360; 2610]; [5239; 6415]; [2188; 3667]; [3378; 8601]; [2848; 5403]; [4188; 7652]; [5735; 6996]; [2004; 10905]; [4986; 5188]; [4063; 5671]; [9441; 11109]; [4742; 5959]; [2185; 10162]; [1280; 7841]; [1688; 3694]; [6908; 7792]; [9813; 9934]; [1812; 11085]; [5922; 9424]; [208; 4067]; [7776; 9450]; [4481; 10506]; [4199; 5158]; [10324; 11577]; [300; 623]; [361; 7692]; [2267; 8632]; [1071; 3129]; [169; 10905]; [4286; 11169]; [2531; 6234]; [1134; 1199]; [79; 1563]; [237; 9319]; [7396; 10333]; [74; 11018]; [4217; 5333]; [3379; 4988]; [1314; 9653]; [8777; 11078]; [446; 3427]; [1272; 3011]; [788; 7328]; [4520; 6273]; [3856; 7047]; [5576; 8763]; [9490; 10196]; [156; 3853]; [5847; 9788]; [897; 7271]; [2948; 4428]; [5568; 8121]; [8360; 8696]; [521; 1507]; [861; 1575]; [5279; 7237]; [1115; 5629]; [234; 7866]; [5251; 9353]; [2942; 7242]; [2001; 3012]; [5751; 9676]; [2009; 9289]; [2164; 4696]; [8734; 10977]; [7295; 8722]; [6149; 7470]; [3349; 8505]; [5429; 10564]; [3218; 3326]; [919; 1903]; [7318; 7393]; [2316; 4686]; [8565; 8697]; [5819; 10749]; [619; 7303]; [1245; 6799]; [10248; 11285]; [971; 5476]; [7595; 9364]; [3108; 8069]; [60; 9002]; [5015; 5447]; [5016; 9055]; [8123; 8702]; [4575; 9312]; [10137; 10141]; [3067; 8418]; [1800; 11343]; [6603; 7424]; [3096; 3871]; [4427; 10538]; [382; 10342]; [2966; 7962]; [4241; 5652]; [5610; 6387]; [3922; 6838]; [2955; 3639]; [3684; 7424]; [2898; 3105]; [9814; 10023]; [2805; 6324]; [845; 2869]; [3962; 9620]; [7969; 10490]; [782; 1766]; [2404; 9363]; [1248; 3259]; [4388; 5298]; [6215; 6911]; [5201; 8030]; [800; 2345]; [4971; 8507]; [5446; 10463]; [7495; 10957]; [1320; 6703]; [7925; 10541]; [1416; 7165]; [237; 9937]; [3719; 8707]; [3528; 4975]; [7516; 8801]; [4902; 6808]; [1975; 5816]; [3867; 8578]; [4304; 8579]; [1902; 4025]; [809; 8823]; [1550; 9235]; [4012; 8178]; [414; 5261]; [2497; 11001]; [1611; 6478]; [1016; 2885]; [8560; 10126]; [1924; 4723]; [1299; 4671]; [29; 1663]; [4292; 7414]; [3762; 4216]; [6243; 7373]; [8242; 8504]; [2509; 11011]; [3419; 7260]; [4441; 10920]; [4690; 7460]; [4972; 10556]; [5655; 10586]; [3604; 7013]; [701; 10579]; [6140; 6871]; [6093; 7025]; [11258; 11416]; [1076; 9702]; [1446; 2065]; [5623; 8796]; [1920; 8337]; [8857; 9716]; [5206; 9447]; [1761; 6772]; [5649; 6984]; [3211; 9189]; [4188; 6660]; [3426; 3893]; [4306; 10853]; [1751; 9467]; [2084; 11370]; [3766; 10350]; [5168; 7061]; [5163; 6717]; [4567; 5151]; [957; 11299]; [2445; 2866]; [5569; 10788]; [6159; 7621]; [170; 339]; [2162; 6715]; [3915; 4407]; [205; 9193]; [5970; 8853]; [2317; 7003]; [51; 5720]; [9204; 9773]; [5183; 9971]; [3445; 11059]; [4617; 4864]; [1852; 2702]; [3156; 4540]; [1125; 2373]; [3184; 9971]; [2807; 7769]; [4925; 6148]; [250; 8562]; [3527; 10310]; [3360; 5474]; [7969; 11108]; [751; 9487]; [274; 10087]; [6665; 8489]; [2902; 7225]; [2675; 8000]; [2398; 9412]; [5168; 6256]; [4542; 9766]; [2138; 4385]; [7375; 10342]; [5720; 6769]; [1697; 3888]; [2605; 6480]; [6178; 11030]; [5688; 10614]; [6712; 8685]; [7949; 9301]; [1135; 5289]; [6799; 7149]; [7790; 8490]; [3989; 10906]; [1785; 7091]; [1007; 6043]; [9726; 10770]; [9031; 9979]; [1937; 3698]; [9476; 10595]; [2155; 11505]; [541; 1517]; [5015; 7488]; [4516; 10773]; [7759; 9527]; [4232; 4598]; [1274; 10709]; [959; 2969]; [3822; 6420]; [2951; 9345]; [4329; 7914]; [8216; 10934]; [688; 7579]; [8685; 9692]; [7097; 7341]; [2640; 8894]; [5320; 8474]; [868; 9617]; [4497; 8437]; [4461; 5774]; [4906; 6390]; [7553; 8496]; [4463; 5820]; [6462; 6951]; [1606; 10485]; [8109; 9882]; [3745; 6708]; [2274; 5696]; [97; 10120]; [319; 2585]; [2185; 3372]; [9060; 11043]; [147; 6450]; [7321; 8496]; [3885; 9347]; [5067; 10256]; [373; 5450]; [2572; 5511]; [5975; 6432]; [2241; 10070]; [7122; 8286]; [3049; 8294]; [2041; 9258]; [3253; 11507]; [8077; 9189]; [383; 5387]; [3154; 9249]; [7646; 10134]; [5278; 10826]; [5586; 8727]; [4782; 7212]; [2351; 4172]; [4087; 6421]; [4496; 10790]; [1719; 7113]; [6416; 9184]; [531; 7887]; [1835; 8227]; [4204; 10389]; [663; 1590]; [2772; 8551]; [5601; 10139]; [5718; 10724]; [926; 5383]; [1301; 4506]; [2072; 4383]; [7317; 10201]; [9301; 10300]; [459; 6671]; [1992; 2145]; [669; 7447]; [6276; 8773]; [4132; 9173]; [4973; 9789]; [5193; 11253]; [388; 1543]; [4475; 8758]; [5055; 11319]; [738; 3053]; [3532; 10117]; [4776; 5488]; [5798; 9148]; [1011; 10567]; [2663; 7453]; [6018; 7202]; [2126; 3838]; [1730; 7248]; [2162; 3495]; [973; 1415]; [6991; 7937]; [8445; 10500]; [720; 969]; [6464; 8420]; [6977; 9759]; [516; 7555]; [2588; 5589]; [414; 9530]; [5025; 10329]; [6298; 6438]; [5582; 11186]; [2676; 4655]; [2030; 3726]; [5925; 11525]; [1906; 6134]; [39; 4368]; [2055; 5476]; [286; 4999]; [5693; 8923]; [3291; 5867]; [5871; 6751]; [3692; 10348]; [5906; 6183]; [7606; 8775]; [4293; 8471]; [295; 4711]; [4031; 10945]; [3074; 8434]; [2542; 8573]; [9722; 10464]; [388; 4121]; [3065; 4184]; [599; 8505]; [196; 918]; [4022; 5914]; [1097; 5749]; [1227; 11457]; [1805; 4523]; [254; 7689]; [7938; 10803]; [4695; 5633]; [11107; 11328]; [2339; 3676]; [59; 7221]; [11239; 11447]; [7648; 11229]; [10213; 11051]; [464; 2022]; [7711; 9299]; [6568; 7564]; [7364; 8437]; [6462; 9797]; [925; 3548]; [6642; 8452]; [2132; 6207]; [3849; 4242]; [4749; 6219]; [2099; 3815]; [3116; 7131]; [4005; 4755]; [5058; 6974]; [4187; 10653]; [8596; 9059]; [541; 6941]; [1148; 7915]; [1642; 2034]; [2206; 4062]; [2216; 5504]; [3233; 8066]; [4893; 5567]; [7065; 10598]; [281; 3045]; [6681; 7225]; [5724; 8878]; [2663; 4688]; [3514; 10910]; [1236; 10364]; [28; 8234]; [4694; 10992]; [1950; 2537]; [6470; 10388]; [1914; 7044]; [174; 889]; [974; 5668]; [1395; 1726]; [1451; 9205]; [6709; 9623]; [675; 2568]; [12; 6196]; [764; 1859]; [3038; 11331]; [1968; 10663]; [2281; 8908]; [1849; 9251]; [7363; 7380]; [1226; 3610]; [4894; 7266]; [6236; 10342]; [1570; 3420]; [5584; 8467]; [1313; 5484]; [1681; 4190]; [4860; 5403]; [2406; 7075]; [7910; 10932]; [6915; 9095]; [341; 5324]; [1055; 3913]; [5069; 8960]; [1707; 8794]; [6432; 6497]; [2114; 10084]; [932; 2759]; [1076; 1757]; [81; 7090]; [251; 5781]; [1325; 2461]; [1025; 9339]; [6312; 8243]; [2757; 7682]; [9952; 10605]; [2204; 9196]; [2139; 2385]; [8322; 8782]; [1111; 1162]; [8359; 11293]; [6821; 9059]; [1877; 9740]; [6359; 10691]; [5; 8384]; [535; 1002]; [3798; 10988]; [811; 9945]; [3842; 11260]; [1683; 6464]; [5170; 5578]; [9712; 9990]; [7814; 9665]; [2888; 5290]; [1685; 3504]; [4825; 5543]; [871; 7717]; [840; 8404]; [2795; 2847]; [563; 9816]; [6999; 7237]; [1369; 11377]; [5753; 8787]; [6405; 6498]; [4262; 9752]; [988; 5269]; [2858; 10716]; [6238; 11461]; [6274; 11118]; [1076; 10751]; [8173; 10887]; [1886; 9802]; [5002; 7283]; [451; 10699]; [1627; 5377]; [6365; 7449]; [4056; 5338]; [10408; 10982]; [3648; 10239]; [1337; 5049]; [4091; 7776]; [4984; 8582]; [2582; 4028]; [2003; 11491]; [8095; 9102]; [2892; 8391]; [6634; 8778]; [4201; 11327]; [6787; 9020]; [4113; 8474]; [8033; 8224]; [5107; 10086]; [501; 7379]; [2265; 5260]; [7310; 8014]; [273; 2267]; [1360; 6322]; [2327; 3105]; [5069; 10733]; [4790; 11318]; [4439; 10337]; [3069; 3715]; [984; 10357]; [5153; 6647]; [3255; 3316]; [5925; 9378]; [6575; 10426]; [8187; 10919]; [1814; 4398]; [1124; 6203]; [4468; 9173]; [3857; 6575]; [5240; 5488]; [6190; 6828]; [2155; 3910]; [7313; 11294]; [1709; 10239]; [4262; 7792]; [3236; 7396]; [3668; 7807]; [123; 1518]; [6043; 6751]; [3085; 10610]; [1583; 10285]; [1763; 6688]; [5839; 6197]; [5689; 9636]; [5186; 11267]; [4570; 6043]; [3687; 8207]; [1954; 3223]; [6861; 9076]; [2597; 3100]; [6826; 10021]; [608; 1159]; [2963; 5143]; [977; 8381]; [2090; 11405]; [4655; 11227]; [2303; 6036]; [3113; 11503]; [4369; 9143]; [2099; 6206]; [8809; 9114]; [6223; 8415]; [5051; 8948]; [2498; 4225]; [1097; 3952]; [1243; 10193]; [470; 7237]; [8219; 11500]; [1425; 3259]; [1298; 6867]; [579; 764]; [3825; 10369]; [557; 6832]; [6131; 11428]; [3906; 6012]; [1349; 6805]; [5251; 8605]; [354; 4968]; [2258; 9245]; [1380; 3085]; [478; 10861]; [5232; 9302]; [2645; 2716]; [3648; 11207]; [1367; 4728]; [3266; 10913]; [4078; 4375]; [4138; 4426]; [8215; 10953]; [2585; 10929]; [3444; 6489]; [9330; 10640]; [144; 785]; [4137; 4955]; [5221; 8739]; [6528; 8596]; [8885; 9243]; [423; 9999]; [513; 5728]; [222; 2546]; [2291; 10832]; [7756; 9099]; [2322; 5981]; [4712; 6768]; [7016; 7754]; [5075; 8513]; [977; 10154]; [1996; 3717]; [7097; 9813]; [4388; 10966]; [1124; 7171]; [7438; 9325]; [766; 2013]; [1956; 7701]; [6283; 10993]; [5375; 7620]; [7173; 10747]; [141; 5344]; [1163; 9004]; [3040; 4288]; [2598; 3943]; [4196; 4730]; [6923; 10572]; [5706; 10608]; [8539; 11184]; [196; 9188]; [3817; 11500]; [440; 9548]; [10098; 11262]; [3308; 6146]; [10092; 11447]; [1468; 6957]; [2607; 11202]; [8801; 9090]; [1860; 9467]; [1459; 9123]; [774; 9020]; [1178; 8881]; [1331; 9877]; [5575; 11414]; [7008; 9690]; [2791; 9976]; [5869; 11137]; [2572; 11366]; [6627; 9998]; [3286; 3539]; [7525; 11148]; [3666; 10176]; [3194; 10366]; [5527; 10619]; [4782; 6301]; [866; 8959]; [18; 756]; [983; 3128]; [2194; 8939]; [5845; 9962]; [4532; 9536]; [2003; 5961]; [6113; 10716]; [5966; 11420]; [7272; 7669]; [10195; 11171]; [3132; 6455]; [2571; 8108]; [1974; 10104]; [7149; 8767]; [5952; 6826]; [1545; 7712]; [666; 4360]; [2687; 2806]; [1873; 7019]; [2160; 10459]; [5233; 6358]; [4899; 7236]; [5678; 11138]; [876; 5109]; [1722; 10233]; [4276; 11394]; [4206; 4239]; [6683; 9906]; [3539; 3961]; [6340; 6534]; [10333; 10704]; [1303; 7024]; [2381; 10993]; [4719; 7426]; [8358; 11098]; [4569; 10865]; [2723; 4314]; [5185; 6667]; [4818; 5153]; [5566; 9742]; [9136; 10611]; [9079; 10077]; [550; 8857]; [423; 1168]; [3628; 10018]; [2721; 11034]; [4030; 6800]; [2879; 5204]; [601; 5412]; [3705; 4788]; [9723; 11310]; [7357; 8665]; [6698; 9783]; [1999; 11049]; [841; 1866]; [1907; 5044]; [9434; 10426]; [3615; 5245]; [932; 11029]; [834; 4078]; [8089; 11216]; [4453; 9727]; [7125; 9446]; [1829; 8544]; [987; 8457]; [3299; 10085]; [1766; 8195]; [6621; 10852]; [4353; 9496]; [8274; 11346]; [3166; 4079]; [6653; 9609]; [3888; 6693]; [2076; 5388]; [240; 10105]; [3681; 8874]; [3939; 7412]; [4835; 7735]; [201; 10150]; [4903; 6149]; [3658; 4137]; [1569; 4244]; [4616; 10256]; [4836; 8310]; [473; 3109]; [2809; 9295]; [5443; 6278]; [7605; 11345]; [1504; 3068]; [5389; 9425]; [1091; 5373]; [2734; 6677]; [4358; 8685]; [4203; 11026]; [3974; 5312]; [1331; 4079]; [4204; 8218]; [3975; 8166]; [7342; 9430]; [895; 11096]; [2297; 10059]; [2139; 6467]; [7128; 8158]; [3135; 4742]; [7467; 8378]; [6219; 6849]; [5467; 7022]; [3042; 11344]; [2442; 3243]; [3868; 4512]; [2634; 3413]; [6056; 8548]; [2699; 7972]; [4303; 4440]; [546; 6374]; [8144; 8216]; [3414; 10169]; [6363; 8476]; [2313; 4526]; [5798; 6977]; [786; 3582]; [9562; 11095]; [4273; 9112]; [7110; 7178]; [4711; 8557]; [8260; 8549]; [9272; 11521]; [7167; 11095]; [591; 5743]; [4230; 5251]; [3012; 8849]; [2177; 11431]; [5078; 7038]; [9496; 9694]; [6745; 11402]; [86; 10711]; [1342; 8351]; [6039; 6258]; [3078; 5682]; [177; 10829]; [3697; 5919]; [1546; 11564]; [780; 5615]; [235; 1385]; [1055; 1124]; [10356; 11491]; [8360; 8379]; [454; 6384]; [1023; 8756]; [8117; 8621]; [8337; 10839]; [273; 1088]; [5706; 6233]; [7106; 8533]; [9131; 10885]; [7522; 8411]; [2073; 4261]; [5302; 11253]; [1549; 11431]; [3187; 10893]; [6024; 8205]; [6862; 9304]; [6337; 6450]; [5496; 11469]; [5605; 5777]; [1778; 3562]; [1401; 7022]; [93; 1278]; [4800; 11207]; [650; 8551]; [2732; 5021]; [1985; 10456]; [7688; 11490]; [1308; 7962]; [1189; 6550]; [2544; 2691]; [3820; 9651]; [186; 4071]; [10361; 11030]; [991; 9194]; [1853; 4271]; [2391; 11494]; [1696; 6539]; [3819; 9426]; [7616; 9520]; [2069; 8999]; [2576; 11247]; [9425; 10527]; [4623; 10914]; [6925; 9602]; [4459; 9759]; [2403; 5842]; [4772; 8004]; [3810; 9313]; [1195; 2958]; [231; 9856]; [3309; 11017]; [8510; 10901]; [977; 7202]; [537; 1268]; [693; 8197]; [3585; 3718]; [472; 5754]; [1841; 6489]; [1908; 8465]; [8506; 10378]; [5; 4790]; [6696; 9900]; [6226; 7507]; [871; 7156]; [618; 2546]; [9057; 11420]; [3756; 7922]; [1118; 7033]; [1954; 7305]; [180; 8736]; [1515; 10641]; [4044; 7800]; [7304; 10695]; [3259; 10499]; [2951; 6182]; [3322; 8569]; [1266; 3898]; [825; 6407]; [1138; 4652]; [5372; 5501]; [3710; 7173]; [4964; 10402]; [2197; 7413]; [5953; 10916]; [3625; 4591]; [1317; 10252]; [2497; 10334]; [3937; 9781]; [3302; 9041]; [9499; 10610]; [3584; 5721]; [190; 6017]; [1069; 2953]; [2024; 4637]; [5568; 11455]; [2896; 5320]; [1249; 1608]; [1493; 8384]; [7126; 8679]; [3918; 5193]; [4933; 7682]; [6970; 10768]; [5962; 10978]; [3720; 10843]; [3092; 4104]; [6648; 8273]; [1070; 6187]; [913; 7701]; [3385; 11496]; [7048; 9146]; [5238; 7914]; [7141; 8556]; [3712; 6414]; [4514; 11239]; [156; 6382]; [6159; 6954]; [1584; 4314]; [2733; 9247]; [4954; 9259]; [1869; 6927]; [959; 4262]; [314; 1306]; [2392; 2538]; [4759; 8037]; [4841; 10321]; [8549; 10343]; [7840; 9846]; [2293; 5161]; [2272; 10700]; [1355; 4612]; [7273; 7520]; [2220; 3370]; [6392; 9757]; [6863; 9342]; [791; 5967]; [4244; 6251]; [5775; 7314]; [5274; 9772]; [2165; 7046]; [6862; 9117]; [1504; 7337]; [1592; 7184]; [5867; 10286]; [2280; 7558]; [7192; 10749]; [4083; 4613]; [2505; 3704]; [3024; 8241]; [4679; 8808]; [5336; 7617]; [1305; 7127]; [2458; 3134]; [1499; 10376]; [1753; 5008]; [1058; 10633]; [4022; 9972]; [4674; 5431]; [2202; 2390]; [8676; 8963]; [535; 7825]; [3042; 9197]; [4005; 5080]; [5659; 8428]; [5633; 7207]; [7436; 10678]; [1056; 10156]; [2921; 8089]; [6739; 9060]; [3511; 11338]; [791; 1779]; [4001; 4557]; [2982; 5332]; [6177; 7078]; [6402; 9640]; [8513; 11012]; [3995; 4742]; [1166; 4285]; [3026; 4880]; [3209; 7216]; [5941; 10369]; [6466; 6807]; [7498; 11155]; [1738; 3171]; [617; 11583]; [5362; 11416]; [3019; 4059]; [5412; 10779]; [6163; 6217]; [2109; 4023]; [3578; 9126]; [9400; 11572]; [6181; 6796]; [6781; 8481]; [3450; 3464]; [1702; 3864]; [1299; 1939]; [6488; 10888]; [6180; 6571]; [172; 5655]; [3778; 8433]; [4836; 7586]; [507; 1215]; [300; 4120]; [161; 3961]; [322; 11234]; [2960; 5707]; [296; 10013]; [2435; 2853]; [6077; 10206]; [354; 569]; [4012; 4291]; [5383; 8105]; [904; 5173]; [3977; 5236]; [10050; 11465]; [9150; 9488]; [191; 9438]; [5628; 11319]; [30; 5548]; [5346; 9354]; [5843; 10160]; [34; 7919]; [4287; 6566]; [853; 4080]; [1417; 6108]; [1695; 1888]; [7856; 7964]; [2004; 2643]; [4371; 8142]; [14; 6893]; [5153; 5899]; [7386; 8200]; [5576; 7722]; [1247; 3603]; [2924; 8655]; [3345; 4713]; [974; 5888]; [7329; 11049]; [2928; 5364]; [3779; 10832]; [3086; 6704]; [190; 11441]; [3268; 6186]; [5198; 5268]; [1588; 10662]; [5033; 6921]; [4268; 10996]; [3427; 3964]; [5008; 8554]; [6539; 10371]; [3640; 5011]; [1238; 6873]; [307; 3331]; [3564; 5955]; [1420; 1437]; [5907; 6896]; [1301; 4189]; [611; 10158]; [4033; 11129]; [2015; 3532]; [2642; 9292]; [9113; 9932]; [4075; 7568]; [8736; 9982]; [9522; 10891]; [1506; 11010]; [1631; 9958]; [1538; 6761]; [1975; 3352]; [982; 5348]; [1133; 8927]; [7384; 8103]; [4247; 5581]; [7387; 7620]; [1532; 9198]; [69; 5795]; [2691; 6151]; [1870; 8439]; [3253; 7352]; [4332; 5130]; [1410; 10898]; [4082; 10617]; [7038; 10095]; [1333; 2572]; [6268; 7410]; [248; 4979]; [2584; 11165]; [3090; 3389]; [3730; 10165]; [679; 7417]; [7103; 8211]; [2120; 3302]; [2077; 6638]; [7838; 11060]; [3320; 4790]; [3793; 4448]; [4942; 9381]; [3479; 8984]; [1084; 5601]; [3167; 4925]; [455; 8059]; [3497; 6557]; [5799; 7497]; [1387; 2377]; [2347; 4405]; [1755; 4493]; [504; 7951]; [5827; 6512]; [849; 8363]; [1534; 2804]; [749; 4749]; [250; 3870]; [346; 9994]; [2242; 3830]; [1758; 7393]; [2121; 5001]; [7255; 7827]; [412; 5329]; [7375; 8683]; [1643; 6130]; [863; 2003]; [6809; 6959]; [3887; 6311]; [4662; 6307]; [858; 5042]; [2236; 3611]; [2413; 5001]; [487; 6792]; [2973; 3123]; [4003; 10808]; [2575; 6460]; [4930; 10444]; [5367; 11199]; [6590; 7945]; [4780; 7467]; [7013; 10522]; [9659; 11272]; [907; 1901]; [72; 4483]; [10130; 10857]; [2591; 3960]; [2250; 3667]; [3432; 10992]; [8573; 10825]; [1811; 7003]; [257; 3482]; [2309; 10663]; [2240; 6362]; [5039; 7354]; [383; 6038]; [1056; 4626]; [376; 4867]; [4641; 10691]; [7351; 7484]; [5138; 11497]; [2433; 2970]; [1148; 1182]; [6727; 10286]; [5406; 5835]; [1622; 10864]; [5631; 8397]; [8160; 8562]; [8151; 10728]; [3760; 9895]; [2571; 7815]; [5074; 6759]; [7247; 9763]; [1573; 6434]; [3159; 5706]; [7047; 11580]; [4528; 6441]; [6835; 7725]; [4624; 6149]; [7389; 9065]; [3939; 6046]; [6079; 8910]; [2591; 9571]; [9228; 11412]; [2683; 6127]; [4641; 6503]; [3400; 8397]; [8257; 8471]; [7875; 8177]; [4329; 5450]; [2085; 7898]; [5290; 10332]; [3800; 5106]; [7972; 11493]; [367; 6228]; [3827; 7683]; [2139; 8134]; [456; 2513]; [1982; 3986]; [5132; 6713]; [3167; 8576]; [1400; 4762]; [6618; 8033]; [2516; 7303]; [4854; 7900]; [2180; 7354]; [2431; 11137]; [5991; 11318]; [2608; 10275]; [5841; 8341]; [2880; 8519]; [4626; 11456]; [3630; 7519]; [550; 5531]; [9853; 10309]; [710; 3534]; [5175; 6036]; [9761; 10720]; [573; 10618]; [4409; 9886]; [2938; 8874]; [3216; 4654]; [1786; 10059]; [785; 860]; [1621; 5296]; [4965; 11272]; [10208; 10658]; [41; 3560]; [2061; 5568]; [3427; 9038]; [8315; 10677]; [8685; 9456]; [1309; 10659]; [5758; 8464]; [7038; 9908]; [5173; 5559]; [2463; 3104]; [7636; 11520]; [2332; 4341]; [6600; 10436]; [5822; 9388]; [7878; 11053]; [532; 7934]; [8214; 10221]; [3656; 4552]; [4973; 8480]; [9238; 10140]; [5685; 10406]; [45; 9694]; [4154; 5179]; [418; 7990]; [602; 10551]; [4211; 9096]; [2370; 9305]; [5701; 7906]; [9073; 9514]; [1511; 7329]; [3157; 6652]; [7226; 9154]; [4793; 5287]; [2774; 3881]; [2459; 4809]; [6873; 10729]; [3018; 9876]; [1151; 8864]; [3291; 10974]; [4683; 6997]; [8177; 9534]; [3033; 4522]; [2661; 8326]; [5157; 6099]; [109; 3047]; [4061; 11380]; [6148; 8194]; [6499; 9175]; [2508; 11467]; [913; 1529]; [1200; 5723]; [238; 2114]; [5835; 6916]; [6337; 7312]; [1506; 2797]; [5179; 5299]; [2190; 9845]; [4306; 7397]; [2281; 9209]; [3000; 8896]; [505; 9813]; [10718; 10840]; [1964; 7058]; [1783; 11184]; [2192; 9137]; [4546; 10267]; [6041; 9421]; [4946; 11140]; [8399; 11424]; [2932; 6668]; [1461; 5656]; [3024; 9640]; [6403; 10941]; [584; 8766]; [747; 9696]; [2476; 4358]; [6066; 11521]; [1587; 10841]; [897; 10394]; [1076; 5441]; [1395; 7638]; [5686; 9021]; [4277; 8887]; [6245; 10705]; [6333; 6388]; [792; 2649]; [7326; 7775]; [4585; 6007]; [1027; 1765]; [2558; 6992]; [1190; 2695]; [3841; 8707]; [7685; 8647]; [6301; 10233]; [5937; 8266]; [6; 2090]; [3643; 11351]; [1023; 1242]; [842; 2362]; [4231; 11521]; [57; 5061]; [8401; 10665]; [5163; 5839]; [11038; 11329]; [8617; 8977]; [2865; 8024]; [2447; 5067]; [2261; 6597]; [2629; 4549]; [6594; 6671]; [9163; 9675]; [732; 4826]; [5220; 8975]; [6923; 8832]; [7107; 11393]; [2749; 6536]; [3679; 5689]; [878; 1618]; [1652; 6674]; [1619; 11452]; [5764; 6594]; [3176; 5068]; [3308; 7439]; [7437; 9992]; [243; 4261]; [1838; 6248]; [3708; 10941]; [620; 3430]; [3973; 5762]; [5093; 5793]; [2135; 9652]; [2979; 8287]; [2696; 4966]; [2627; 2917]; [1732; 5448]; [7554; 7894]; [4347; 4633]; [7643; 11349]; [2125; 5150]; [10750; 10996]; [5640; 6312]; [7264; 8320]; [10068; 10410]; [3585; 6003]; [5080; 5157]; [1938; 2291]; [7758; 8074]; [5289; 8714]; [4456; 7959]; [5269; 11445]; [2343; 6891]; [378; 9508]; [4196; 10479]; [4726; 6507]; [8922; 11036]; [338; 5945]; [4565; 4869]; [1856; 10186]; [1135; 3256]; [2635; 2754]; [8832; 11493]; [1601; 2497]; [6089; 6646]; [7049; 8674]; [2011; 10474]; [9012; 10148]; [8917; 11042]; [1593; 1855]; [572; 7465]; [1534; 4658]; [1066; 2338]; [1845; 8492]; [5520; 7657]; [4675; 9551]; [6772; 7053]; [2663; 11568]; [3155; 5614]; [4218; 5111]; [5646; 9459]; [3277; 7297]; [1654; 1727]; [3491; 4782]; [3613; 9875]; [2641; 6332]; [805; 6885]; [4736; 10177]; [10204; 11371]; [6591; 7422]; [746; 3272]; [4706; 11466]; [4455; 7683]; [188; 4442]; [2180; 10818]; [2392; 2595]; [2827; 8939]; [361; 6090]; [1517; 5778]; [4287; 9038]; [7303; 8567]; [1634; 7117]; [9302; 9698]; [1118; 5480]; [793; 5720]; [768; 7353]; [3724; 6831]; [7423; 10554]; [7304; 9142]; [945; 6491]; [4468; 7514]; [3563; 9357]; [4218; 7339]; [610; 3734]; [1544; 10957]; [8450; 11525]; [7041; 7227]; [9382; 11505]; [4490; 6714]; [6974; 8634]; [9780; 11551]; [8526; 9076]; [4150; 9275]; [1559; 1816]; [5731; 8203]; [2656; 6559]; [3427; 6436]; [3730; 10409]; [3831; 10461]; [1651; 11204]; [3948; 5384]; [1771; 5644]; [4942; 6242]; [4128; 10455]; [3725; 9284]; [308; 2241]; [4514; 7458]; [6962; 7469]; [4653; 9522]; [2199; 4778]; [2451; 5753]; [5708; 8377]; [1258; 10347]; [10308; 10515]; [3682; 6554]; [5645; 7274]; [734; 11101]; [3308; 10285]; [545; 1780]; [691; 8021]; [4627; 10903]; [1195; 2828]; [1310; 3340]; [5678; 6633]; [6170; 7095]; [2809; 9783]; [2597; 11590]; [6140; 8384]; [2150; 4485]; [6687; 8553]; [6814; 10580]; [1421; 7493]; [989; 1420]; [3851; 11062]; [5530; 6361]; [6995; 9056]; [5777; 6238]; [3696; 6206]; [4501; 11329]; [3663; 3814]; [9506; 11301]; [5246; 9985]; [3162; 4020]; [290; 2735]; [2074; 2746]; [2387; 7407]; [6640; 7552]; [3371; 7577]; [5611; 7639]; [1323; 10691]; [5242; 9462]; [7360; 7841]; [1319; 6785]; [2212; 7591]; [5666; 10729]; [8728; 11357]; [721; 2140]; [4045; 6740]; [2004; 10271]; [1035; 3993]; [6821; 10946]; [1680; 4697]; [8345; 8586]; [2488; 9337]; [7273; 7845]; [2925; 3676]; [7305; 10012]; [2268; 4840]; [1112; 2146]; [3479; 4235]; [1954; 6370]; [2014; 10585]; [7611; 10469]; [6145; 9801]; [5716; 7409]; [325; 7401]; [4461; 4709]; [3807; 6171]; [2759; 8460]; [5592; 9036]; [5399; 8641]; [2839; 9917]; [8599; 10731]; [3711; 9846]; [2555; 3742]; [6739; 10890]; [2005; 8937]; [2463; 4153]; [3578; 3840]; [1246; 10605]; [9398; 9623]; [5265; 9580]; [3589; 11546]; [1562; 8367]; [4040; 5591]; [1968; 7557]; [4291; 9374]; [2031; 11289]; [7342; 11341]; [8930; 10686]; [623; 8347]; [5657; 9057]; [3611; 6582]; [2136; 8080]; [1893; 8322]; [6805; 8103]; [1827; 3538]; [5932; 7949]; [8353; 11055]; [390; 8526]; [323; 6550]; [6053; 10161]; [1880; 10719]; [4686; 8718]; [7790; 8848]; [204; 2105]; [2096; 11283]; [46; 10564]; [877; 10492]; [2465; 4175]; [2936; 6012]; [1561; 4708]; [2366; 9831]; [3852; 4735]; [5567; 8359]; [811; 6839]; [3669; 5782]; [7215; 8509]; [276; 8932]; [2141; 7619]; [5258; 7954]; [2517; 10350]; [1765; 1855]; [1419; 7634]; [7387; 9905]; [1876; 9041]; [8543; 9593]; [1070; 10863]; [3752; 4854]; [1412; 3430]; [3065; 10340]; [1532; 8450]; [916; 3980]; [1251; 5956]; [7484; 10188]; [4736; 11413]; [2613; 5520]; [6076; 6492]; [7103; 10496]; [3545; 6254]; [6939; 9341]; [2766; 9899]; [5037; 9274]; [2485; 9657]; [8834; 9368]; [489; 5791]; [244; 10124]; [2026; 8554]; [4414; 9268]; [3597; 6794]; [6339; 7252]; [3345; 11454]; [7832; 10497]; [5526; 5651]; [1233; 8359]; [5560; 10897]; [1561; 2748]; [131; 8153]; [535; 8768]; [299; 10181]; [1476; 4330]; [9682; 10000]; [4859; 8756]; [8809; 9846]; [9934; 10221]; [3671; 10284]; [6938; 11344]; [3803; 3987]; [1894; 9165]; [3358; 9006]; [4841; 10809]; [3609; 4121]; [894; 2820]; [3129; 6702]; [3887; 5563]; [1394; 1645]; [6221; 8670]; [2262; 10500]; [5350; 5933]; [6337; 9784]; [4028; 8427]; [1641; 11321]; [1753; 5146]; [2472; 4833]; [3308; 5105]; [826; 2477]; [1409; 2303]; [1281; 3057]; [1633; 6892]; [1926; 3761]; [8718; 9677]; [683; 4828]; [1676; 3586]; [2020; 3396]; [2465; 8176]; [1708; 8005]; [4326; 10871]; [8340; 9502]; [2834; 8982]; [9264; 9621]; [6096; 6288]; [7565; 10637]; [3136; 9320]; [1513; 8668]; [6370; 7988]; [11473; 11501]; [10600; 11347]; [5784; 7864]; [3714; 5769]; [8147; 10211]; [1256; 3535]; [1106; 6974]; [2720; 7540]; [944; 8898]; [3251; 7930]; [4653; 10303]; [4997; 10867]; [658; 6060]; [107; 1985]; [7008; 10877]; [4551; 5862]; [1339; 2257]; [2746; 5728]; [1810; 8258]; [251; 7399]; [1994; 10819]; [130; 9324]; [6539; 9086]; [1341; 8719]; [6503; 7177]; [2520; 3695]; [6506; 6694]; [1838; 3109]; [4412; 6457]; [8926; 9575]; [4297; 5164]; [2867; 10569]; [4479; 11062]; [28; 6014]; [2918; 7124]; [3164; 4147]; [2293; 7072]; [1854; 10408]; [2974; 8187]; [8206; 9636]; [2204; 11164]; [3909; 7684]; [681; 3546]; [8728; 11438]; [5591; 6664]; [2974; 11570]; [3960; 8403]; [3304; 6786]; [5991; 7537]; [1559; 6703]; [5764; 9066]; [5545; 9702]; [2565; 3414]; [5455; 10940]; [1343; 5358]; [1719; 8089]; [7531; 9847]; [3329; 11165]; [7807; 8210]; [2824; 3301]; [5483; 9174]; [2274; 9250]; [4976; 11063]; [7216; 11125]; [9210; 11158]; [1679; 4876]; [2921; 10000]; [1765; 3896]; [2594; 7161]; [10231; 11183]; [52; 6734]; [1822; 7813]; [4060; 4796]; [5646; 6320]; [4314; 8096]; [3808; 10210]; [1530; 7412]; [8818; 10526]; [380; 10922]; [4874; 6972]; [5646; 9703]; [1902; 6237]; [3297; 8193]; [3236; 10169]; [774; 5564]; [6071; 11572]; [2279; 5406]; [63; 6492]; [472; 10861]; [3144; 10580]; [159; 6200]; [5945; 6737]; [5191; 11001]; [8776; 10650]; [4041; 5843]; [7750; 10254]; [1797; 2629]; [675; 1771]; [3665; 6495]; [4138; 9159]; [4938; 7522]; [4597; 7229]; [1890; 8455]; [88; 7838]; [1583; 6992]; [4713; 8343]; [4749; 8000]; [5520; 10129]; [5144; 10781]; [6460; 7718]; [5993; 9006]; [1; 1453]; [3524; 9646]; [5451; 8457]; [5820; 10017]; [9223; 10938]; [6914; 8827]; [407; 6278]; [503; 5986]; [4179; 8005]; [2299; 2624]; [7252; 8822]; [2646; 6115]; [7135; 7483]; [7726; 7924]; [1918; 2932]; [9214; 10071]; [6468; 7959]; [3290; 9600]; [5850; 9078]; [7776; 10670]; [2454; 6295]; [4725; 5670]; [2853; 4314]; [2010; 2871]; [4788; 9402]; [3787; 7373]; [2352; 6018]; [4437; 8421]; [3353; 4637]; [3561; 4586]; [2344; 5376]; [7868; 10609]; [1134; 8835]; [1970; 9107]; [6046; 8616]; [6732; 11573]; [4314; 6486]; [3989; 4474]; [4265; 10007]; [3210; 10371]; [1121; 4062]; [7070; 8535]; [5826; 6748]; [2015; 8476]; [991; 8153]; [4356; 8590]; [5199; 10033]; [6123; 10152]; [242; 6345]; [2609; 5428]; [5716; 11491]; [9026; 9969]; [6531; 10886]; [8520; 11329]; [1385; 5047]; [961; 9415]; [4975; 11456]; [3624; 4884]; [3170; 10541]; [701; 11181]; [5961; 6010]; [3065; 6583]; [1969; 11110]; [6482; 11374]; [4522; 9417]; [4969; 10860]; [203; 10904]; [2930; 3914]; [1099; 8975]; [9557; 11483]; [6858; 10318]; [6820; 9834]; [445; 7404]; [787; 10551]; [6036; 6719]; [7102; 9897]; [3740; 9731]; [8391; 11457]; [3611; 7631]; [7618; 8501]; [4378; 9264]; [1329; 7343]; [7898; 11524]; [1394; 8492]; [1605; 6460]; [612; 1286]; [3129; 4100]; [1890; 2657]; [5488; 5574]; [7141; 8320]; [1389; 4361]; [2113; 10808]; [3381; 10737]; [1752; 9139]; [8572; 9933]; [2264; 4561]; [4530; 10008]; [3821; 4593]; [2004; 9360]; [3740; 5193]; [4249; 7514]; [264; 7369]; [2649; 3648]; [5080; 7442]; [2874; 6210]; [4274; 8510]; [9786; 10730]; [1073; 2785]; [7258; 9255]; [6076; 8346]; [6330; 10148]; [3928; 11256]; [432; 1476]; [1061; 4653]; [8305; 10878]; [10242; 11131]; [1830; 4834]; [1296; 10562]; [4652; 6749]; [7929; 9251]; [9376; 11397]; [1659; 11553]; [10657; 11531]; [6703; 7289]; [3633; 10907]; [10438; 10669]; [1627; 6353]; [1107; 3843]; [412; 9468]; [417; 3396]; [2557; 10424]; [4270; 10969]; [4865; 8146]; [10439; 10490]; [105; 11388]; [4178; 4964]; [1903; 8099]; [2457; 9439]; [781; 7995]; [4074; 10276]; [4048; 9055]; [11050; 11583]; [8068; 10884]; [4823; 11303]; [2115; 3259]; [7469; 9801]; [67; 5619]; [3484; 10410]; [4198; 8999]; [3969; 9701]; [956; 9689]; [987; 2586]; [7019; 8060]; [9768; 10443]; [3541; 10163]; [793; 11388]; [2348; 8341]; [9137; 10576]; [2234; 7273]; [4911; 7336]; [3003; 6323]; [6086; 11238]; [5458; 7505]; [3911; 5909]; [1043; 2114]; [382; 6569]; [506; 2663]; [43; 687]; [4772; 7931]; [4020; 5852]; [2427; 3911]; [1716; 4085]; [752; 4567]; [6822; 11279]; [690; 1437]; [8809; 10895]; [3112; 7397]; [2365; 5662]; [1902; 4440]; [4577; 10092]; [1370; 6831]; [1991; 3731]; [2015; 8289]; [4101; 7130]; [4543; 8229]; [5941; 7450]; [6873; 8184]; [3545; 6848]; [3468; 4184]; [2855; 5647]; [49; 3484]; [2327; 3276]; [9262; 10998]; [5315; 7927]; [652; 11102]; [5311; 10437]; [8855; 10839]; [9142; 10115]; [2496; 4024]; [4247; 7305]; [3192; 6171]; [358; 7622]; [45; 2961]; [6977; 11166]; [6672; 10530]; [946; 1376]; [5114; 10273]; [417; 1786]; [3085; 10431]; [7658; 10746]; [3893; 7157]; [1546; 8726]; [3849; 6104]; [1767; 3218]; [4943; 11330]; [3549; 5812]; [1053; 8012]; [2794; 4189]; [8585; 11486]; [1608; 5790]; [18; 7530]; [491; 3024]; [3590; 5062]; [4219; 5233]; [2194; 2881]; [513; 1093]; [4709; 11284]; [5765; 7358]; [6771; 10485]; [107; 9450]; [2598; 6879]; [4488; 6562]; [1150; 10200]; [2277; 4986]; [1810; 6274]; [2395; 2763]; [1402; 4759]; [2732; 5566]; [1121; 8681]; [307; 6478]; [5528; 7014]; [1711; 8897]; [5286; 10864]; [1523; 9600]; [2113; 6433]; [7271; 9653]; [857; 7295]; [206; 6022]; [1820; 2424]; [3972; 6803]; [6093; 8863]; [7984; 8771]; [8075; 8135]; [1375; 5191]; [943; 5534]; [946; 9215]; [1034; 5652]; [686; 8352]; [2993; 9636]; [4897; 6743]; [5513; 5551]; [7047; 8043]; [220; 6078]; [2535; 11387]; [7468; 9793]; [10704; 11540]; [7505; 8894]; [2452; 8908]; [8064; 10578]; [4272; 4412]; [8191; 9599]; [4576; 11239]; [10604; 11309]; [1354; 10329]; [5409; 8961]; [3100; 6850]; [9729; 11082]; [4104; 9150]; [4412; 7051]; [2170; 6162]; [1010; 8984]; [1149; 6110]; [5965; 9593]; [5461; 8370]; [1202; 9154]; [6116; 9762]; [7668; 9450]; [5269; 11583]; [2385; 7255]; [5360; 10947]; [1700; 7152]; [11342; 11396]; [5148; 6338]; [3180; 5274]; [5803; 8484]; [8251; 9249]; [474; 2938]; [5730; 8945]; [1382; 4776]; [436; 6618]; [1026; 3451]; [260; 8836]; [3116; 11116]; [10994; 11063]; [4294; 8119]; [6565; 9746]; [7535; 10210]; [3017; 3940]; [1581; 11028]; [2395; 4536]; [400; 10694]; [3287; 8123]; [6733; 11400]; [3567; 8140]; [4305; 7877]; [1326; 10859]; [47; 3601]; [5859; 7611]; [984; 10341]; [912; 8775]; [700; 10582]; [2125; 4833]; [4365; 9059]; [3219; 3643]; [6763; 9707]; [223; 11182]; [5168; 6939]; [9130; 9544]; [3242; 8730]; [4016; 8124]; [1533; 4140]; [5299; 9085]; [3396; 6164]; [3573; 6800]; [2487; 6353]; [4703; 6021]; [4050; 10337]; [2636; 9859]; [114; 285]; [1094; 10859]; [8709; 9672]; [1364; 6024]; [703; 4063]; [2850; 7344]; [8299; 11494]; [5413; 10503]; [2194; 5727]; [143; 2154]; [3888; 8474]; [3224; 9248]; [309; 9771]; [304; 9427]; [423; 5177]; [5039; 7818]; [323; 7225]; [2174; 8458]; [8609; 9441]; [1049; 1667]; [10137; 10987]; [3193; 7683]; [5097; 5544]; [6776; 7259]; [3722; 4240]; [6994; 8650]; [3931; 8551]; [2719; 11183]; [8223; 8624]; [131; 7405]; [3455; 5589]; [9091; 11063]; [1433; 2754]; [2188; 8514]; [4961; 9039]; [6943; 7557]; [7168; 10119]; [7096; 8553]; [6756; 11114]; [9208; 9369]; [6534; 6571]; [3726; 6991]; [1233; 3073]; [7099; 11453]; [1210; 1369]; [4762; 11458]; [4846; 10405]; [7891; 9174]; [2606; 9562]; [6897; 10945]; [674; 1739]; [2871; 4383]; [942; 2493]; [3159; 11431]; [7329; 9821]; [8633; 10161]; [9094; 10556]; [2680; 4034]; [1382; 5394]; [8622; 11500]; [3309; 4959]; [9726; 10998]; [5237; 9630]; [2718; 10907]; [10215; 11162]; [3895; 7685]; [3606; 7582]; [1520; 11343]; [954; 6236]; [3906; 8224]; [8541; 9417]; [2080; 3049]; [4150; 4420]; [2907; 5487]; [4094; 10904]; [290; 9639]; [6676; 8451]; [984; 10959]; [6736; 8502]; [3286; 5483]; [2868; 9696]; [1096; 5538]; [5731; 6731]; [3396; 9815]; [636; 827]; [5670; 8707]; [42; 3094]; [2688; 8008]; [4453; 8743]; [2429; 2829]; [340; 3690]; [7347; 10726]; [4083; 6931]; [4205; 7860]; [461; 5148]; [4201; 4708]; [6869; 6937]; [4940; 11463]; [8615; 9874]; [5721; 11274]; [8297; 11285]; [2168; 7376]; [2794; 11036]; [461; 8531]; [5991; 6439]; [3035; 6961]; [1796; 5518]; [3936; 6130]; [2793; 10811]; [6583; 7482]; [1013; 6011]; [1223; 2623]; [300; 10276]; [7819; 8627]; [5332; 7907]; [1632; 11129]; [4268; 11191]; [6260; 11151]; [350; 6606]; [4169; 8179]; [4105; 6474]; [225; 4625]; [1894; 5652]; [6718; 8996]; [118; 10420]; [1582; 10261]; [1207; 4722]; [3886; 5612]; [6250; 7430]; [1429; 7013]; [6067; 7723]; [1057; 7407]; [5967; 10525]; [5669; 11060]; [6497; 7307]; [991; 6787]; [6259; 8647]; [7276; 11209]; [1207; 8105]; [7334; 8181]; [5534; 8391]; [2081; 2445]; [1370; 2619]; [525; 5267]; [3195; 10575]; [2887; 10422]; [6151; 10053]; [4473; 11192]; [8981; 11112]; [1672; 7121]; [2257; 10026]; [1770; 3492]; [5524; 6922]; [4197; 9796]; [4524; 5495]; [1824; 10144]; [3968; 7492]; [3878; 10982]; [5081; 6352]; [3279; 9899]; [4550; 10099]; [3526; 4114]; [10458; 11565]; [1989; 4734]; [3389; 7034]; [4149; 6722]; [1473; 9513]; [2361; 9975]; [1406; 1875]; [4920; 5064]; [1654; 4606]; [3910; 9365]; [9183; 10815]; [682; 5227]; [4039; 5049]; [7099; 11266]; [3202; 7558]; [2145; 5597]; [7186; 7478]; [3747; 4648]; [1763; 2297]; [7523; 10281]; [28; 10072]; [2633; 8569]; [673; 4360]; [1664; 2291]; [7398; 8300]; [3905; 5207]; [5639; 10793]; [2187; 6947]; [2469; 10043]; [1225; 8256]; [1013; 10817]; [3220; 7733]; [138; 9836]; [1442; 10176]; [1368; 7783]; [2646; 8400]; [6383; 8443]; [6603; 10661]; [5799; 8392]; [1098; 9585]; [439; 9949]; [6355; 9778]; [2546; 8169]; [2448; 5382]; [1740; 9991]; [10471; 11345]; [3501; 6820]; [3695; 10069]; [4657; 6508]; [2074; 6080]; [5928; 6708]; [4811; 6194]; [2130; 8641]; [917; 6167]; [517; 8677]; [2563; 5490]; [4488; 10644]; [8603; 9327]; [3710; 7344]; [5200; 6154]; [1688; 3011]; [631; 8964]; [3616; 7682]; [5460; 11154]; [2712; 5963]; [196; 6757]; [5178; 11441]; [65; 824]; [1749; 9299]; [8127; 9748]; [1658; 3519]; [1131; 10418]; [3450; 9083]; [4816; 9547]; [3321; 3977]; [4203; 11010]; [1521; 4187]; [4351; 7498]; [10484; 11526]; [524; 2277]; [10482; 10699]; [1826; 8206]; [7767; 7900]; [5437; 11328]; [5129; 11175]; [8432; 10734]; [9146; 9323]; [9294; 9975]; [5025; 10825]; [765; 2339]; [1785; 11588]; [8980; 11505]; [6085; 9270]; [11071; 11444]; [1844; 4998]; [502; 6840]; [2900; 7488]; [3409; 9809]; [1914; 4239]; [1874; 7092]; [5611; 7135]; [79; 7646]; [5265; 6498]; [6610; 9091]; [4919; 5861]; [1343; 10839]; [1561; 5814]; [7163; 10206]; [1432; 3714]; [1626; 3957]; [2997; 7771]; [2954; 11107]; [6197; 9861]; [1084; 6414]; [3332; 10501]; [586; 5383]; [780; 2216]; [3574; 10034]; [1836; 11122]; [1433; 9951]; [5103; 8018]; [4857; 5333]; [3792; 5009]; [4015; 10908]; [916; 11152]; [1795; 8088]; [3980; 7689]; [960; 10670]; [3293; 10923]; [3298; 11267]; [421; 10392]; [3229; 6966]; [1511; 5296]; [986; 2442]; [3775; 9916]; [1719; 5999]; [5860; 10067]; [4832; 8844]; [4426; 8156]; [4209; 9619]; [5926; 7654]; [6420; 8943]; [3625; 9568]; [1776; 3500]; [3933; 7469]; [3331; 9121]; [6326; 8527]; [2401; 6154]; [9185; 11455]; [6599; 10756]; [4171; 7233]; [2705; 6565]; [3269; 8593]; [4222; 10204]; [5564; 6110]; [3635; 10636]; [7148; 10971]; [2296; 4825]; [3784; 9978]; [205; 11275]; [6552; 9405]; [3966; 8706]; [6805; 7599]; [4191; 11268]; [4496; 5488]; [4862; 7531]; [7790; 11377]; [5408; 8199]; [2313; 5933]; [4212; 9112]; [2630; 10713]; [1073; 4265]; [2286; 4487]; [758; 9357]; [4588; 5427]; [1410; 7068]; [3117; 4415]; [5698; 8153]; [8213; 10140]; [2614; 9429]; [2999; 9240]; [10709; 11323]; [8739; 9432]; [1813; 10841]; [7816; 9915]; [2176; 2787]; [6317; 6855]; [6812; 10998]; [3034; 4538]; [5497; 10499]; [8330; 11075]; [675; 6447]; [3584; 5355]; [2451; 11478]; [5061; 10319]; [452; 1679]; [985; 4394]; [4118; 5262]; [2215; 8003]; [3803; 10354]; [3407; 9600]; [2536; 11027]; [7944; 8006]; [4766; 9647]; [915; 2120]; [1942; 6124]; [6908; 6922]; [5113; 7476]; [6231; 6680]; [3455; 10021]; [1252; 9060]; [6632; 10407]; [6878; 7430]; [8999; 9490]; [5637; 9324]; [1678; 10400]; [2650; 8281]; [3944; 9431]; [269; 4604]; [3357; 5699]; [4014; 8672]; [934; 6684]; [3611; 7501]; [2910; 8393]; [6626; 6805]; [3999; 6105]; [638; 8793]; [1147; 4698]; [1598; 5159]; [3597; 6290]; [7585; 9362]; [3070; 9025]; [9541; 9665]; [5458; 8985]; [334; 5349]; [7832; 9993]; [1665; 9764]; [271; 10662]; [636; 2681]; [9813; 11292]; [9128; 11189]; [10005; 11462]; [3305; 8518]; [2515; 4457]; [1716; 2532]; [1241; 10375]; [8744; 11199]; [6250; 7056]; [7691; 9357]; [7066; 9305]; [901; 9903]; [11078; 11273]; [2926; 5839]; [2761; 4082]; [10825; 10827]; [247; 4949]; [10596; 11529]; [3789; 8688]; [3916; 9961]; [10356; 11288]; [3589; 7122]; [5489; 7493]; [2249; 8256]; [421; 7172]; [7167; 9737]; [541; 5022]; [758; 3559]; [2678; 8369]; [1906; 9021]; [7940; 8906]; [125; 2865]; [226; 9333]; [4827; 5280]; [2298; 5115]; [5532; 6789]; [10550; 11130]; [2122; 6552]; [7058; 10891]; [8633; 9250]; [1143; 2969]; [862; 6891]; [2374; 9432]; [9134; 10175]; [8225; 11118]; [6637; 8767]; [2540; 8381]; [8199; 9897]; [2691; 8550]; [1385; 5885]; [4339; 10952]; [7737; 11529]; [1003; 2585]; [2375; 10007]; [4245; 8284]; [3994; 4501]; [5425; 8366]; [5260; 10773]; [6698; 9393]; [4358; 5717]; [691; 11331]; [2926; 10295]; [3019; 7076]; [9830; 10036]; [6721; 8064]; [1495; 5649]; [5497; 6929]; [27; 1902]; [3946; 10095]; [6683; 8711]; [5411; 11292]; [2264; 8082]; [543; 6141]; [7549; 10323]; [1021; 6897]; [3070; 9643]; [3627; 8248]; [6146; 7725]; [6710; 9753]; [5583; 8551]; [1046; 2231]; [4591; 11149]; [1224; 6475]; [4341; 4558]; [6770; 6771]; [1743; 2344]; [2685; 10182]; [3273; 10352]; [10528; 11074]; [7966; 8517]; [1053; 1116]; [2795; 10727]; [558; 10936]; [6189; 9650]; [11318; 11378]; [6665; 9579]; [7522; 8476]; [2635; 5527]; [4870; 9409]; [5229; 11005]; [7459; 9625]; [609; 10120]; [4434; 5846]; [6247; 10005]; [415; 455]; [6517; 11586]; [856; 9997]; [512; 10187]; [2406; 3196]; [4708; 8300]; [1343; 7082]; [7915; 8528]; [1943; 2351]; [5024; 9445]; [630; 4931]; [631; 7785]; [6758; 8615]; [8726; 10433]; [5894; 6295]; [7472; 7958]; [2057; 9054]; [2582; 5492]; [2093; 9465]; [70; 10192]; [3741; 4697]; [9317; 10874]; [1440; 7365]; [8398; 10375]; [344; 5476]; [8468; 8862]; [374; 7570]; [2014; 2941]; [5539; 5545]; [2388; 11261]; [5000; 10929]; [2756; 3551]; [6747; 11058]; [1797; 8541]; [496; 5466]; [1427; 2592]; [711; 7340]; [554; 3192]; [1168; 4583]; [5213; 8943]; [3253; 6986]; [3537; 6745]; [9949; 10188]; [3032; 5297]; [1693; 10820]; [5024; 5257]; [2032; 3870]; [5089; 10570]; [4671; 7613]; [1684; 6570]; [846; 5471]; [7568; 9894]; [5613; 9035]; [10315; 11450]; [1310; 3885]; [3240; 9383]; [2120; 2936]; [1161; 10178]; [4863; 11166]; [6468; 10488]; [6569; 10540]; [5253; 7187]; [525; 3551]; [1280; 2141]; [3107; 6760]; [4289; 7669]; [622; 6867]; [2045; 3701]; [1303; 9480]; [7158; 7902]; [2268; 9573]; [3564; 5134]; [6399; 6537]; [10158; 10311]; [787; 10502]; [145; 7063]; [1217; 10086]; [4641; 4714]; [2841; 11340]; [7321; 11464]; [1530; 1915]; [3926; 8906]; [5708; 11500]; [6735; 8334]; [885; 4594]; [3614; 4847]; [7039; 9499]; [3460; 4380]; [3138; 8301]; [3702; 10329]; [6940; 8739]; [4540; 7264]; [2406; 8352]; [617; 1581]; [3297; 6079]; [6031; 6676]; [810; 5359]; [1178; 9727]; [1917; 3650]; [7271; 10946]; [2830; 10750]; [76; 1607]; [5122; 10248]; [6035; 6768]; [2599; 7619]; [6647; 11496]; [768; 2100]; [2660; 4862]; [2878; 10417]; [5263; 6696]; [8480; 10645]; [1699; 2609]; [10477; 10949]; [7473; 8047]; [353; 545]; [358; 889]; [1459; 2398]; [5364; 10885]; [5481; 11470]; [722; 8521]; [2191; 6454]; [4582; 10095]; [3233; 10766]; [2708; 7912]; [7415; 11425]; [9032; 11508]; [1675; 6345]; [718; 7998]; [2337; 9662]; [6788; 8294]; [5721; 7143]; [7331; 10973]; [3733; 8056]; [6305; 10577]; [4039; 9294]; [8491; 11534]; [4372; 4781]; [3723; 10751]; [6149; 7031]; [1815; 2568]; [7984; 9259]; [1196; 10632]; [2844; 6618]; [4406; 6994]; [7885; 8499]; [982; 5950]; [2907; 3934]; [383; 4867]; [1291; 6705]; [5080; 6938]; [171; 258]; [2380; 5171]; [314; 566]; [4895; 4906]; [1025; 5273]; [5355; 5830]; [5611; 9957]; [2309; 3426]; [3326; 5988]; [2522; 10889]; [6624; 9367]; [2116; 3031]; [4946; 10506]; [6725; 9419]; [3444; 3765]; [4696; 10331]; [3261; 4812]; [6910; 8418]; [2579; 8390]; [83; 3420]; [3596; 3755]; [213; 9128]; [920; 10710]; [426; 10175]; [3654; 7897]; [1259; 4514]; [2234; 7574]; [1313; 10412]; [506; 9380]; [2036; 10972]; [1255; 3991]; [760; 9647]; [3855; 4746]; [118; 2451]; [2083; 9633]; [917; 2841]; [449; 1275]; [3776; 8802]; [197; 10099]; [1814; 4520]; [2261; 5963]; [1788; 3299]; [396; 860]; [5965; 9276]; [2068; 5568]; [3909; 10994]; [1626; 7852]; [6295; 8629]; [908; 5357]; [885; 10823]; [2593; 11024]; [10148; 11284]; [5301; 10400]; [602; 7502]; [31; 2051]; [2267; 4623]; [2678; 4157]; [2925; 10450]; [2273; 6323]; [4143; 6852]; [1894; 9710]; [4602; 4922]; [1819; 7092]; [4444; 11129]; [9234; 9981]; [8148; 11032]; [1742; 8535]; [6021; 8403]; [4037; 6052]; [6251; 11309]; [797; 6815]; [4004; 10076]; [3772; 4845]; [3467; 10625]; [1977; 5399]; [1747; 2493]; [3131; 10676]; [5187; 8177]; [5; 6091]; [1188; 10608]; [5678; 8414]; [2156; 3829]; [1316; 9073]; [4122; 4820]; [2900; 10928]; [5921; 11555]; [5513; 10040]; [5487; 8819]; [4852; 7325]; [688; 5717]; [2574; 5281]; [5724; 8008]; [710; 10202]; [4237; 6463]; [2764; 11040]; [9264; 10166]; [4596; 6581]; [4697; 7387]; [5380; 10827]; [3888; 11190]; [2073; 10368]; [5186; 7551]; [3498; 8002]; [4599; 7983]; [6115; 8014]; [1147; 10553]; [9299; 9571]; [10254; 11255]; [1095; 3223]; [9601; 9909]; [6402; 10673]; [2873; 11333]; [2811; 10455]; [3183; 3645]; [2868; 4573]; [8456; 11511]; [2534; 5451]; [328; 4219]; [1285; 2566]; [7730; 11407]; [1909; 5399]; [727; 4490]; [2349; 9835]; [1373; 2386]; [192; 4331]; [283; 3695]; [5006; 7741]; [1329; 5497]; [4515; 7881]; [38; 3864]; [1211; 6939]; [875; 11154]; [2732; 5062]; [92; 10516]; [2169; 6642]; [235; 3654]; [522; 2930]; [7089; 10448]; [1421; 5436]; [3950; 5601]; [2138; 10712]; [894; 8171]; [4631; 8214]; [889; 1411]; [2570; 3953]; [6131; 7712]; [2239; 4348]; [3846; 10913]; [2190; 4486]; [487; 8012]; [2142; 4415]; [955; 3162]; [387; 10060]; [2156; 8285]; [1725; 5066]; [1314; 4034]; [448; 11467]; [2470; 3722]; [769; 10327]; [3684; 6798]; [4711; 6638]; [2875; 11355]; [2068; 9569]; [8813; 11532]; [4778; 7860]; [908; 5975]; [7759; 9088]; [2556; 8377]; [5605; 8046]; [3063; 7619]; [3553; 7254]; [3274; 7839]; [3417; 8147]; [815; 6915]; [1154; 6381]; [10892; 11087]; [7564; 9751]; [4561; 9703]; [9829; 10809]; [6553; 9663]; [4290; 7897]; [4783; 11213]; [2229; 2855]; [238; 5749]; [1451; 6725]; [2129; 5657]; [5797; 7061]; [5187; 8795]; [232; 5934]; [1851; 6844]; [3688; 5735]; [8944; 9490]; [6977; 11280]; [4805; 9632]; [4399; 8190]; [9932; 10533]; [2150; 6884]; [7105; 7493]; [2838; 4252]; [6234; 10418]; [2122; 4836]; [4955; 9576]; [2825; 3266]; [4908; 9006]; [1955; 2629]; [3147; 9144]; [3454; 9072]; [515; 10729]; [4596; 10582]; [9362; 11292]; [3749; 5987]; [1825; 3687]; [303; 10257]; [3319; 9786]; [5616; 10382]; [11259; 11365]; [4404; 10762]; [192; 1566]; [5231; 7538]; [2562; 11500]; [2531; 5771]; [2037; 8646]; [6051; 7277]; [13; 9148]; [130; 4071]; [1909; 2984]; [1038; 10073]; [904; 7629]; [5611; 10388]; [9085; 11549]; [1750; 8589]; [5664; 7016]; [1775; 9585]; [2926; 8929]; [5224; 6717]; [3414; 5485]; [3947; 8200]; [5155; 8078]; [953; 10150]; [2857; 10263]; [4691; 7385]; [2449; 6496]; [575; 10729]; [4995; 10048]; [6390; 9752]; [4681; 11578]; [3196; 10860]; [5; 1716]; [4405; 10182]; [1884; 9878]; [6832; 9316]; [3059; 7364]; [4463; 7154]; [422; 10083]; [326; 3959]; [312; 5781]; [4233; 7631]; [7261; 9429]; [4666; 10896]; [3122; 8817]; [3265; 4207]; [7848; 9374]; [5955; 9393]; [191; 11089]; [2864; 7246]; [7559; 8490]; [2358; 2944]; [3008; 10408]; [587; 8056]; [866; 1055]; [4948; 10178]; [1020; 11321]; [433; 7589]; [5094; 10003]; [7145; 7160]; [51; 10705]; [5930; 10275]; [4712; 6703]; [1859; 8858]; [3497; 9818]; [3063; 7082]; [7586; 8034]; [2386; 11004]; [195; 6670]; [5952; 8721]; [3006; 9931]; [785; 3503]; [2531; 7194]; [2340; 7626]; [406; 11054]; [320; 5618]; [5729; 6205]; [5426; 6396]; [8258; 10534]; [3585; 6605]; [10615; 11181]; [7156; 10328]; [1957; 10490]; [7929; 10251]; [1807; 7513]; [9217; 11556]; [5413; 8039]; [1896; 6050]; [122; 5229]; [5693; 11062]; [963; 6599]; [9261; 11104]; [401; 10279]; [5036; 5056]; [3883; 9049]; [2018; 8864]; [4442; 10733]; [4650; 11436]; [2816; 6400]; [1082; 10613]; [4026; 8576]; [2968; 3007]; [2501; 4295]; [4782; 10774]; [715; 1959]; [1755; 10332]; [1196; 2232]; [1323; 10675]; [2682; 3552]; [5445; 5641]; [8815; 10586]; [4054; 10974]; [322; 4859]; [1626; 10861]; [4608; 5144]; [747; 3345]; [5079; 11145]; [2271; 8155]; [2049; 2858]; [994; 3976]; [1713; 7073]; [1985; 5317]; [2582; 3321]; [6933; 11171]; [3958; 7479]; [1585; 7827]; [491; 2601]; [3457; 3521]; [2514; 4126]; [4910; 8865]; [2412; 3849]; [7470; 8343]; [3227; 9660]; [2757; 11431]; [174; 10249]; [6236; 6520]; [5036; 10667]; [387; 4880]; [6555; 8717]; [6056; 11248]; [4459; 7653]; [5959; 7151]; [4708; 8357]; [1721; 3150]; [1667; 10461]; [7259; 10001]; [3189; 7274]; [2752; 7273]; [5861; 6993]; [1100; 7381]; [6418; 8604]; [3269; 8731]; [1927; 10573]; [9060; 9612]; [3088; 4189]; [5660; 6710]; [4214; 7418]; [6227; 8255]; [1683; 7180]; [5451; 5782]; [1702; 4978]; [4852; 6951]; [6495; 6757]; [2921; 8398]; [3110; 4887]; [6260; 7614]; [618; 10239]; [1614; 5508]; [4105; 9353]; [6495; 10140]; [2104; 11559]; [2921; 5365]; [6250; 10309]; [2234; 10851]; [5407; 8866]; [1259; 1375]; [168; 6246]; [4037; 7906]; [87; 7570]; [945; 9321]; [5967; 6988]; [6937; 10458]; [1289; 2715]; [5676; 10222]; [172; 7119]; [4535; 5904]; [2091; 7540]; [5210; 8702]; [3059; 7177]; [509; 9141]; [3272; 8224]; [500; 11307]; [10154; 10650]; [316; 2330]; [8998; 10962]; [4525; 11228]; [313; 2032]; [1586; 9475]; [712; 6467]; [3384; 6186]; [2921; 4210]; [1057; 9131]; [1986; 9594]; [1182; 1663]; [4352; 11458]; [1668; 7972]; [1513; 11067]; [1769; 2362]; [7961; 10003]; [2853; 6900]; [671; 6062]; [2357; 2532]; [3434; 5899]; [8705; 10686]; [2661; 2943]; [618; 6401]; [3780; 9919]; [2474; 6500]; [719; 6483]; [1659; 10488]; [7920; 10352]; [2958; 6320]; [760; 5703]; [2647; 8121]; [7910; 8883]; [1250; 3086]; [7155; 7287]; [6827; 11363]; [5922; 9042]; [4546; 4884]; [600; 11083]; [2216; 2650]; [409; 8105]; [1001; 5765]; [3791; 9677]; [1774; 4934]; [8957; 10506]; [6810; 9854]; [2222; 7726]; [726; 8347]; [8475; 10358]; [9605; 11077]; [3998; 4089]; [8574; 10337]; [166; 776]; [5305; 10362]; [4770; 6820]; [1100; 1583]; [6917; 10101]; [3316; 3503]; [3711; 10448]; [3214; 3226]; [5139; 8380]; [1930; 8456]; [3898; 10274]; [500; 3281]; [6687; 10578]; [317; 4328]; [2984; 3703]; [6939; 11553]; [2558; 11408]; [2018; 7522]; [2649; 10772]; [4292; 6414]; [1555; 8929]; [22; 623]; [5161; 6045]; [1013; 4970]; [5656; 10188]; [3231; 10346]; [2722; 8025]; [330; 10575]; [6517; 11456]; [1536; 3210]; [7518; 7823]; [4400; 10269]; [3166; 9170]; [4157; 10511]; [1812; 2327]; [581; 11325]; [8451; 11411]; [3747; 5917]; [2322; 7502]; [6231; 8591]; [9407; 10287]; [5711; 10245]; [2988; 3421]; [4672; 4726]; [2058; 9149]; [5602; 8797]; [5423; 7334]; [4609; 10793]; [3404; 8180]; [818; 7481]; [818; 1065]; [3636; 7025]; [895; 3005]; [5915; 10425]; [595; 9129]; [743; 5617]; [1171; 7784]; [6090; 8736]; [6408; 7325]; [1606; 7712]; [5445; 11415]; [10393; 10853]; [3970; 6497]; [3125; 8391]; [6060; 9998]; [5905; 5923]; [5117; 8351]; [4903; 10085]; [2003; 5254]; [903; 5875]; [4478; 7842]; [164; 8919]; [5489; 10559]; [899; 2723]; [1806; 10752]; [1210; 9940]; [5635; 7351]; [564; 9011]; [2949; 9454]; [521; 5931]; [1572; 1661]; [2516; 9572]; [2208; 5255]; [546; 6927]; [1433; 8642]; [363; 1558]; [3043; 6056]; [481; 3499]; [4004; 10938]; [8789; 9446]; [6244; 8748]; [1607; 6728]; [2192; 3217]; [1930; 5691]; [3374; 7509]; [2911; 6287]; [7258; 10231]; [564; 4823]; [5947; 10605]; [7812; 8538]; [2917; 6482]; [5654; 6596]; [9745; 11301]; [3415; 3726]; [1075; 6466]; [990; 10300]; [4732; 10687]; [1052; 4762]; [5871; 8516]; [7612; 11109]; [1012; 5363]; [3599; 8916]; [6092; 7172]; [452; 10624]; [5531; 8825]; [2842; 7247]; [2014; 11000]; [4990; 7720]; [4150; 9958]; [112; 353]; [910; 10721]; [5516; 7012]; [9843; 10304]; [2381; 3065]; [1126; 9033]; [6105; 10790]; [702; 6985]; [1443; 8151]; [2458; 10640]; [3951; 8967]; [3679; 4307]; [5205; 9944]; [5513; 10097]; [878; 6652]; [6197; 9975]; [7030; 10730]; [10087; 11014]; [4545; 10837]; [9558; 10670]; [4761; 4985]; [5869; 7665]; [6496; 7763]; [703; 3803]; [1821; 9423]; [8419; 11336]; [8672; 9530]; [7927; 9376]; [3902; 9051]; [5299; 7670]; [2190; 5698]; [2061; 2844]; [1904; 11528]; [8074; 9022]; [311; 2417]; [745; 8536]; [3549; 10626]; [2336; 8152]; [1713; 8927]; [2427; 8270]; [6542; 6953]; [5606; 9483]; [3028; 8645]; [4798; 10478]; [400; 8474]; [3858; 9102]; [1673; 2331]; [3443; 10580]; [24; 2710]; [1524; 2208]; [4414; 10488]; [2224; 3373]; [6119; 10418]; [3758; 8871]; [1516; 7982]; [10413; 11318]; [1600; 6175]; [949; 9820]; [2230; 9954]; [138; 6380]; [195; 498]; [723; 2869]; [1093; 1648]; [10556; 10845]; [1216; 10349]; [505; 11277]; [541; 10934]; [8375; 11363]; [8349; 10142]; [7516; 9387]; [5233; 8497]; [837; 7320]; [1; 632]; [8013; 10193]; [91; 2777]; [5856; 8853]; [737; 7089]; [936; 10682]; [8004; 9326]; [6996; 10290]; [5631; 9674]; [10574; 11020]; [4688; 11033]; [1517; 7429]; [3849; 4047]; [2166; 4842]; [5132; 5762]; [4373; 6676]; [6685; 8304]; [823; 8711]; [10322; 11149]; [205; 10584]; [6055; 7908]; [606; 4512]; [363; 11170]; [1602; 6197]; [1788; 3169]; [6715; 10398]; [291; 9604]; [4905; 9920]; [8038; 10788]; [2214; 5263]; [845; 7911]; [2333; 5894]; [92; 8613]; [6974; 10285]; [7401; 10352]; [6033; 6055]; [5797; 7468]; [66; 976]; [3020; 10207]; [1655; 10345]; [253; 802]; [812; 8902]; [8535; 11190]; [3461; 6917]; [1369; 3343]; [10183; 11340]; [1675; 6833]; [10959; 11561]; [2739; 6932]; [7775; 9223]; [2316; 7768]; [2484; 9796]; [3380; 7867]; [4283; 9361]; [5110; 5383]; [204; 9554]; [6866; 9762]; [6047; 6461]; [4558; 8253]; [1256; 1722]; [6794; 10825]; [445; 3200]; [1307; 4693]; [6503; 8397]; [1401; 7738]; [62; 9097]; [1001; 11002]; [2434; 9278]; [3050; 11496]; [5758; 6708]; [2821; 11444]; [6157; 10389]; [677; 7680]; [3134; 3273]; [4009; 9889]; [10191; 10426]; [1946; 4801]; [979; 5012]; [2985; 3150]; [1393; 4063]; [3282; 9560]; [6055; 9331]; [2450; 9407]; [1796; 10869]; [1108; 4833]; [6956; 8500]; [7515; 10184]; [6460; 10548]; [6422; 7812]; [3096; 7303]; [8944; 10970]; [205; 8974]; [3279; 9639]; [6795; 10245]; [4273; 4835]; [3212; 7636]; [3301; 4675]; [3397; 4383]; [7836; 7916]; [334; 6536]; [3732; 7113]; [4346; 8504]; [2768; 7595]; [6314; 10322]; [2389; 10982]; [1618; 8853]; [9574; 10211]; [1076; 10556]; [10076; 11361]; [4167; 9670]; [586; 7888]; [2731; 11096]; [200; 3688]; [5158; 10984]; [5621; 5790]; [8226; 10703]; [2466; 2719]; [289; 727]; [5427; 5924]; [7235; 10493]; [5050; 10138]; [687; 773]; [3128; 5255]; [3126; 8592]; [1342; 9335]; [10805; 11362]; [1311; 9268]; [4961; 10820]; [880; 3797]; [1248; 2503]; [998; 1574]; [2180; 2483]; [1216; 7129]; [4069; 5728]; [2214; 6231]; [317; 8760]; [1462; 9787]; [7405; 8056]; [25; 1943]; [6876; 8466]; [1203; 5362]; [4193; 10086]; [1887; 5994]; [202; 10126]; [4094; 7074]; [1255; 8935]; [360; 11466]; [6554; 9354]; [3218; 10409]; [2034; 8673]; [2528; 2792]; [5032; 11006]; [6794; 8060]; [1190; 7005]; [5925; 6150]; [1159; 5440]; [1241; 1308]; [3181; 7494]; [72; 4768]; [3925; 8177]; [1220; 6066]; [7562; 11022]; [7658; 10730]; [5; 6929]; [5421; 10939]; [2298; 10035]; [2205; 3428]; [7473; 8698]; [6444; 11037]; [1683; 11425]; [3959; 10390]; [6215; 8733]; [2540; 3152]; [3790; 8891]; [2355; 3372]; [708; 10994]; [3313; 9491]; [5713; 6802]; [1611; 6072]; [5460; 6356]; [675; 2186]; [6308; 8143]; [1008; 8253]; [1078; 8992]; [8048; 11265]; [2816; 5652]; [1823; 7648]; [696; 6446]; [2263; 7166]; [2251; 5651]; [3749; 9240]; [2904; 11134]; [3007; 8603]; [357; 10363]; [1821; 10204]; [629; 8607]; [6079; 9195]; [408; 6164]; [7037; 10396]; [432; 4306]; [3052; 11005]; [500; 9136]; [2370; 8167]; [4734; 9985]; [3775; 10811]; [3080; 9266]; [3269; 5755]; [6999; 11043]; [3148; 7680]; [1400; 8080]; [8127; 8683]; [7595; 9576]; [3266; 5457]; [7619; 7718]; [145; 1216]; [4591; 5920]; [6562; 11419]; [8730; 9915]; [3938; 10990]; [3666; 6330]; [2565; 10513]; [763; 9896]; [9453; 9721]; [854; 3598]; [1110; 1309]; [2937; 9338]; [2161; 2701]; [5550; 7696]; [4562; 7784]; [1288; 3301]; [2712; 3743]; [10373; 11569]; [2033; 6838]; [9531; 11482]; [7602; 9592]; [7848; 9244]; [3018; 7583]; [52; 1001]; [4668; 7779]; [7211; 11060]; [4940; 6023]; [5439; 6902]; [2254; 8126]; [11044; 11565]; [6894; 9663]; [7397; 11415]; [6482; 8406]; [1850; 6730]; [3443; 7173]; [1106; 9430]; [1039; 8208]; [2761; 6587]; [2568; 6192]; [1317; 7398]; [5388; 6563]; [4202; 8164]; [2583; 7254]; [10373; 10764]; [3553; 3554]; [1130; 10955]; [67; 7294]; [9008; 10902]; [2814; 6598]; [9896; 11364]; [715; 6017]; [10269; 10414]; [2833; 4396]; [5355; 7554]; [6633; 8171]; [1657; 7439]; [602; 7803]; [2356; 4996]; [2703; 8487]; [722; 6407]; [2866; 3755]; [1861; 4236]; [3519; 5074]; [4880; 7446]; [1027; 10426]; [3611; 8046]; [3107; 6069]; [9018; 11216]; [4195; 10726]; [575; 5606]; [2796; 4864]; [1612; 10298]; [917; 8753]; [5833; 6024]; [4786; 11167]; [674; 3333]; [1260; 9092]; [5243; 6158]; [600; 9985]; [8074; 10071]; [939; 3035]; [2033; 8261]; [8196; 11000]; [3428; 3801]; [2748; 10458]; [8758; 10703]; [4866; 6585]; [3988; 9093]; [8563; 9481]; [4366; 5481]; [252; 3236]; [3734; 10674]; [3137; 4002]; [3666; 9981]; [4359; 7693]; [4724; 6128]; [519; 4519]; [3576; 11219]; [656; 7234]; [3920; 4613]; [2268; 7727]; [1423; 9621]; [3537; 4094]; [5849; 9886]; [3100; 8257]; [5061; 8904]; [3386; 8062]; [1688; 7825]; [1230; 6193]; [1574; 6757]; [4160; 4450]; [6276; 9172]; [8695; 10697]; [1603; 5243]; [513; 7306]; [1483; 10022]; [4706; 7400]; [1695; 1799]; [3909; 6302]; [1469; 5428]; [6355; 10404]; [2933; 3017]; [4106; 6846]; [1879; 6989]; [2987; 9669]; [1029; 2123]; [936; 1932]; [4788; 5897]; [8724; 9533]; [808; 6850]; [6472; 7956]; [6969; 8762]; [88; 3528]; [4909; 8109]; [1337; 3407]; [213; 8892]; [6563; 11457]; [2862; 4655]; [2599; 5773]; [3013; 4824]; [2753; 3207]; [7331; 10282]; [2503; 9448]; [1453; 3740]; [5685; 7926]; [702; 5269]; [3382; 9767]; [883; 5280]; [1755; 5209]; [6132; 7864]; [6574; 8963]; [11188; 11531]; [3112; 10845]; [600; 1959]; [3812; 5564]; [4589; 8639]; [7445; 10919]; [2097; 7575]; [5937; 10779]; [3765; 9131]; [1210; 3581]; [1805; 4922]; [2636; 11266]; [5134; 9866]; [63; 11526]; [5290; 9625]; [6501; 9774]; [4634; 8008]; [680; 10182]; [4508; 9589]; [3968; 5703]; [1972; 2591]; [1455; 10178]; [8762; 11090]; [569; 5655]; [5426; 5729]; [7891; 8353]; [6650; 10247]; [955; 2658]; [3876; 5333]; [6328; 7752]; [6018; 9024]; [3057; 9202]; [758; 5527]; [813; 5234]; [130; 1794]; [4854; 5688]; [3437; 5636]; [1775; 7308]; [1472; 7499]; [252; 3854]; [8464; 9339]; [5143; 9174]; [9; 686]; [959; 2026]; [4954; 7023]; [5317; 11047]; [6662; 7224]; [5734; 9615]; [6037; 7172]; [8965; 11018]; [425; 11137]; [678; 2915]; [1149; 4752]; [8277; 10617]; [589; 3597]; [453; 10152]; [19; 7416]; [6338; 10668]; [395; 3731]; [479; 1924]; [4410; 5216]; [7383; 8081]; [2775; 9465]; [9595; 10259]; [2372; 7540]; [1133; 10261]; [1810; 9722]; [534; 8397]; [6876; 6937]; [2022; 11298]; [8061; 11527]; [5946; 6249]; [6202; 10376]; [318; 636]; [2893; 6838]; [801; 3264]; [7492; 8374]; [3041; 7490]; [2490; 9831]; [9118; 11209]; [9355; 10398]; [7993; 10053]; [8610; 8709]; [2142; 5334]; [1788; 4836]; [3725; 7341]; [1350; 11026]; [7084; 11373]; [16; 6313]; [4186; 8867]; [7830; 8719]; [4119; 7645]; [6693; 6829]; [3778; 7352]; [1963; 2366]; [3406; 5494]; [5959; 10217]; [3112; 5047]; [7408; 9026]; [1596; 5016]; [8686; 9643]; [2497; 5683]; [4173; 7881]; [3061; 7711]; [5919; 10818]; [1493; 6766]; [7589; 8283]; [2585; 4749]; [3397; 4627]; [5069; 11587]; [910; 10323]; [4190; 8235]; [10012; 10681]; [614; 2633]; [5130; 6578]; [1186; 9440]; [245; 10872]; [6373; 11146]; [169; 5400]; [24; 9183]; [4162; 9570]; [244; 11401]; [3358; 8055]; [3561; 7660]; [206; 2249]; [5711; 8960]; [5716; 9304]; [1320; 10379]; [6743; 6892]; [2106; 9036]; [2233; 11063]; [446; 955]; [1999; 10667]; [3587; 5848]; [2186; 4077]; [5279; 6270]; [5855; 11341]; [7826; 10424]; [466; 5744]; [2193; 4467]; [8750; 10543]; [3717; 8523]; [7785; 8171]; [2305; 4708]; [1028; 4693]; [3646; 9811]; [594; 1957]; [2997; 9365]; [1151; 9230]; [2054; 4308]; [7840; 11261]; [3234; 8554]; [1124; 10790]; [739; 3809]; [4947; 9853]; [7001; 10691]; [1495; 6007]; [717; 9877]; [6653; 9227]; [1887; 9271]; [6348; 8591]; [2917; 10540]; [5816; 8730]; [7094; 10101]; [21; 4697]; [1757; 6946]; [10721; 11504]; [1765; 10971]; [8391; 9270]; [4067; 5495]; [1176; 10576]; [5844; 7745]; [4378; 7077]; [4054; 10925]; [2288; 9965]; [4796; 8529]; [2650; 8102]; [7006; 9880]; [5240; 8920]; [3898; 10762]; [254; 330]; [586; 9205]; [586; 2789]; [4491; 11276]; [5329; 8211]; [6502; 11286]; [5972; 8088]; [4265; 9243]; [1658; 9919]; [1307; 8938]; [1178; 6084]; [2241; 9745]; [3564; 3719]; [5750; 6928]; [3162; 9566]; [741; 798]; [548; 6819]; [6057; 11020]; [950; 4355]; [1103; 1187]; [421; 4765]; [6773; 10409]; [667; 1788]; [768; 8256]; [42; 8152]; [8817; 10559]; [986; 3231]; [4898; 8001]; [10625; 11341]; [2249; 6199]; [6763; 9317]; [3339; 8273]; [2494; 10167]; [2148; 3114]; [4357; 7273]; [2774; 6020]; [4798; 11153]; [2766; 5378]; [3634; 7817]; [6427; 11246]; [2282; 7436]; [5238; 6914]; [477; 7302]; [6650; 11483]; [1612; 9119]; [4752; 10404]; [74; 6131]; [9315; 10031]; [6744; 10364]; [1348; 3596]; [4281; 7786]; [1103; 3765]; [480; 4540]; [6849; 7155]; [6162; 10389]; [3274; 8571]; [6075; 11144]; [4080; 10886]; [4197; 5055]; [2829; 4922]; [1484; 6466]; [1262; 7585]; [5317; 6217]; [2540; 8202]; [148; 10752]; [2440; 11004]; [3909; 11189]; [1392; 6877]; [1638; 3900]; [1114; 10316]; [2686; 4994]; [2128; 6164]; [4607; 6242]; [6200; 8937]; [3591; 6534]; [2588; 7842]; [1528; 7862]; [1433; 4592]; [4681; 7854]; [1715; 7688]; [6758; 10396]; [1807; 4244]; [6201; 8758]; [848; 11486]; [4663; 6524]; [5845; 7433]; [5007; 6334]; [5041; 11580]; [442; 4382]; [11147; 11533]; [1465; 3726]; [7086; 8922]; [1847; 3269]; [4369; 6427]; [210; 5163]; [3721; 4671]; [2934; 10707]; [599; 7375]; [1390; 8628]; [2715; 4927]; [4922; 6761]; [8134; 10366]; [2007; 7284]; [2134; 9311]; [3249; 8998]; [2652; 4578]; [3834; 5487]; [3023; 6211]; [3995; 4092]; [3958; 4210]; [1217; 6606]; [1929; 10784]; [1924; 4024]; [2827; 6272]; [681; 11507]; [3983; 5960]; [6930; 7604]; [243; 9783]; [1456; 5841]; [3546; 8588]; [4231; 6439]; [6316; 9596]; [2791; 10375]; [4658; 5725]; [3625; 9820]; [1856; 10097]; [767; 5215]; [3150; 4831]; [907; 10887]; [4673; 5252]; [287; 4763]; [543; 2474]; [3647; 9020]; [8134; 9561]; [696; 3470]; [5352; 5540]; [3958; 6438]; [1288; 7546]; [2598; 6920]; [4016; 4164]; [8274; 8817]; [1625; 9568]; [1150; 10241]; [4147; 6310]; [3758; 9009]; [4194; 9539]; [899; 4179]; [892; 3008]; [5711; 6008]; [4134; 7953]; [4062; 6387]; [6020; 7517]; [2852; 9846]; [1416; 1473]; [3662; 8897]; [1543; 10293]; [2746; 5663]; [865; 7197]; [2162; 6366]; [1032; 11282]; [5056; 8349]; [2346; 5140]; [10341; 10590]; [3558; 8143]; [10208; 11000]; [2429; 10278]; [2396; 8640]; [2965; 11012]; [3987; 7502]; [2048; 11340]; [3331; 5885]; [7493; 11584]; [4535; 4863]; [1957; 8189]; [868; 3307]; [171; 1689]; [8646; 10220]; [7402; 8433]; [3099; 5535]; [9050; 10835]; [6281; 11183]; [88; 9733]; [3156; 9452]; [6425; 7929]; [8288; 11451]; [4934; 8894]; [7606; 8613]; [2274; 5802]; [2377; 7435]; [7640; 8197]; [2874; 7487]; [4090; 7980]; [1972; 9601]; [2094; 10530]; [1657; 4113]; [2708; 5505]; [2240; 3939]; [5225; 8319]; [8592; 9583]; [2563; 2872]; [1250; 9616]; [9937; 11422]; [10081; 10420]; [1241; 5366]; [905; 5417]; [2866; 10228]; [6104; 8638]; [5378; 8534]; [10116; 10606]; [4579; 10773]; [873; 6633]; [8648; 9111]; [6251; 11317]; [6060; 8339]; [2484; 6901]; [3607; 10613]; [4570; 9906]; [50; 9225]; [2631; 3164]; [2104; 10063]; [573; 9000]; [5580; 5635]; [2132; 9078]; [1791; 2369]; [4524; 9911]; [3270; 3272]; [7889; 10348]; [4334; 9787]; [777; 8399]; [125; 4272]; [4924; 10003]; [1686; 5177]; [4234; 9556]; [1746; 5228]; [3482; 7477]; [6433; 6611]; [649; 10284]; [1480; 3796]; [7235; 11436]; [2223; 8041]; [2854; 11291]; [8139; 9368]; [4588; 6297]; [3062; 5578]; [2316; 7451]; [669; 1487]; [3618; 6210]; [983; 9756]; [1811; 6003]; [6914; 8762]; [8319; 11406]; [50; 5387]; [8511; 11576]; [7631; 8753]; [4573; 11250]; [1624; 6527]; [5734; 11282]; [1364; 4910]; [1718; 9572]; [2831; 8432]; [6654; 7495]; [3118; 5456]; [6447; 10400]; [7658; 9795]; [10108; 11387]; [6071; 11052]; [2298; 9100]; [8337; 10083]; [9636; 11577]; [9801; 9924]; [2201; 11419]; [6807; 7710]; [3782; 10347]; [1631; 3160]; [9758; 10227]; [3870; 9413]; [1511; 1523]; [1473; 5203]; [1256; 6666]; [2656; 8966]; [2863; 10198]; [1631; 3510]; [4575; 7889]; [3274; 4814]; [6911; 7659]; [6477; 11339]; [1434; 5625]; [2430; 3900]; [1466; 10798]; [4924; 5010]; [531; 9766]; [4540; 8053]; [3645; 4168]; [7812; 9457]; [2583; 8279]; [5852; 6002]; [965; 9469]; [394; 10434]; [34; 5927]; [2173; 2931]; [2415; 9634]; [3134; 8567]; [1546; 6970]; [2265; 5903]; [4852; 9456]; [1705; 11164]; [1483; 1703]; [736; 4886]; [5586; 9451]; [3938; 7022]; [5669; 8173]; [253; 753]; [1568; 11051]; [2559; 8228]; [2528; 6663]; [3297; 5713]; [1500; 3188]; [2530; 6709]; [940; 4285]; [4484; 10349]; [3266; 3367]; [3601; 9507]; [738; 6810]; [2044; 3059]; [2680; 6653]; [4946; 5684]; [3912; 7679]; [7026; 7743]; [703; 7755]; [7812; 8652]; [3392; 9333]; [5726; 8276]; [2894; 4892]; [4902; 5385]; [2641; 4446]; [1895; 6319]; [4756; 8943]; [5706; 10283]; [3727; 9030]; [2638; 4148]; [303; 7232]; [6622; 10484]; [2223; 5626]; [4900; 5689]; [2035; 5575]; [1197; 4476]; [8817; 10803]; [665; 5369]; [670; 5713]; [7979; 9704]; [2476; 8701]; [7729; 8775]; [167; 6590]; [5308; 6423]; [7133; 7963]; [6639; 10838]; [2441; 3984]; [4182; 6577]; [2181; 8783]; [1694; 2249]; [4339; 9944]; [4520; 5818]; [3186; 7521]; [1906; 3825]; [3139; 6951]; [1533; 10410]; [3450; 11539]; [1345; 11113]; [2897; 4385]; [10132; 10147]; [2324; 4523]; [128; 11149]; [8399; 11579]; [4696; 11120]; [1200; 7756]; [3857; 9796]; [8735; 10747]; [5743; 9360]; [4524; 8569]; [6296; 6311]; [1361; 5580]; [3498; 8173]; [6051; 6480]; [550; 6304]; [851; 3034]; [5238; 10541]; [3964; 10797]; [853; 7244]; [5175; 10192]; [5462; 9468]; [1680; 3266]; [1528; 5878]; [972; 7875]; [2486; 5581]; [1310; 1454]; [1246; 10329]; [8180; 8781]; [492; 8177]; [965; 3671]; [4420; 4782]; [994; 2911]; [1458; 7741]; [6186; 9125]; [4627; 7512]; [1055; 3564]; [5628; 10295]; [681; 879]; [7365; 8982]; [3745; 3862]; [5892; 7897]; [6991; 7051]; [2249; 10899]; [2450; 8903]; [6176; 10285]; [2788; 8898]; [2750; 6162]; [4763; 6999]; [1621; 8297]; [352; 8897]; [3273; 11572]; [1895; 6587]; [5689; 7164]; [336; 3476]; [3739; 4397]; [1591; 9559]; [58; 6915]; [1625; 8389]; [3571; 8004]; [4598; 4838]; [7278; 9336]; [8962; 11395]; [4884; 8807]; [3597; 3940]; [1175; 7779]; [397; 7485]; [1608; 6880]; [8354; 9445]; [3306; 6393]; [42; 2598]; [3775; 11567]; [4551; 11034]; [7; 3543]; [6427; 6847]; [6446; 11061]; [4106; 8139]; [10212; 10344]; [253; 10365]; [1717; 10206]; [3644; 9017]; [874; 6511]; [4019; 8894]; [867; 5340]; [6095; 7047]; [8612; 9861]; [4916; 10573]; [2705; 11249]; [3520; 4228]; [3076; 7220]; [1861; 10335]; [1491; 4386]; [3722; 4362]; [5695; 6524]; [5244; 8345]; [1086; 9935]; [2812; 11496]; [8021; 8989]; [6796; 11416]; [6524; 6756]; [1601; 9068]; [362; 7625]; [1759; 10408]; [5515; 9747]; [1256; 11285]; [1535; 4284]; [3904; 6446]; [10001; 10817]; [2066; 3920]; [4335; 5851]; [3177; 9500]; [2585; 5424]; [11169; 11269]; [3795; 5348]; [1450; 7744]; [2551; 3561]; [8710; 8810]; [1332; 2770]; [5936; 8814]; [1077; 2251]; [4963; 11462]; [2697; 6769]; [665; 7410]; [5234; 10235]; [1593; 10654]; [2255; 9053]; [2692; 9808]; [3433; 6056]; [2158; 2704]; [3866; 9321]; [2529; 5091]; [593; 7692]; [438; 4371]; [5453; 11447]; [4617; 4759]; [2993; 3505]; [7378; 10185]; [7622; 10545]; [4726; 11118]; [1237; 2509]; [495; 1872]; [4605; 6627]; [4567; 10307]; [4192; 4768]; [3939; 4322]; [2617; 7540]; [1727; 5527]; [9636; 11203]; [4438; 5174]; [6318; 10555]; [1078; 4300]; [1766; 8838]; [4305; 8967]; [4129; 10431]; [3651; 7423]; [1688; 6703]; [5891; 7485]; [5612; 8070]; [3831; 6078]; [881; 4136]; [872; 6302]; [9779; 11080]; [1713; 4666]; [9185; 10341]; [1678; 7863]; [2425; 3182]; [4518; 9610]; [5700; 11273]; [5284; 9143]; [4637; 5360]; [2460; 5620]; [1080; 10388]; [5342; 6115]; [486; 9649]; [6277; 6366]; [1934; 2541]; [1179; 1699]; [2913; 9537]; [4351; 8157]; [6612; 6844]; [5560; 10889]; [8741; 8765]; [6894; 9159]; [4215; 6017]; [2565; 2788]; [5622; 9488]; [6401; 8472]; [3275; 11057]; [5305; 7337]; [3275; 4641]; [5277; 5289]; [7068; 7245]; [2654; 11124]; [7850; 10664]; [2962; 9779]; [7098; 9339]; [7230; 8704]; [6571; 9822]; [4804; 6008]; [1774; 4137]; [991; 6909]; [6758; 9648]; [6316; 9303]; [8217; 9145]; [3085; 10529]; [1297; 8120]; [298; 9547]; [3978; 8302]; [1726; 7479]; [9009; 10249]; [184; 2063]; [246; 2941]; [5461; 6695]; [2288; 8680]; [3506; 9246]; [4432; 6028]; [6866; 9339]; [6654; 8894]; [207; 6396]; [1138; 3522]; [2163; 6699]; [4434; 6074]; [6646; 8252]; [3629; 10750]; [565; 1381]; [4246; 10160]; [1340; 3629]; [3927; 11346]; [3619; 7029]; [2896; 10606]; [6905; 8139]; [3307; 5222]; [5516; 10135]; [214; 3029]; [1062; 4816]; [1686; 7649]; [1180; 9009]; [2553; 7234]; [3456; 8728]; [1095; 10591]; [1021; 1782]; [3785; 10889]; [423; 10723]; [5008; 5383]; [5911; 7631]; [1140; 2413]; [4501; 9524]; [6992; 11117]; [5588; 7163]; [8461; 11302]; [5063; 9227]; [3070; 11294]; [142; 1032]; [2604; 3385]; [3913; 6321]; [489; 4523]; [3758; 9416]; [5750; 9376]; [4215; 10823]; [227; 581]; [2069; 9642]; [9100; 11410]; [1805; 11289]; [1512; 8004]; [4148; 5814]; [4552; 6429]; [2745; 9632]; [5286; 6424]; [6717; 8037]; [4602; 9175]; [873; 1079]; [5351; 7950]; [7962; 10399]; [7277; 9542]; [6031; 11092]; [5647; 7719]; [84; 8917]; [5249; 6892]; [5240; 9058]; [4840; 11568]; [3499; 9848]; [6166; 9223]; [5460; 8243]; [5295; 6486]; [10902; 11222]; [3495; 6696]; [2805; 5495]; [35; 2989]; [1688; 9899]; [6266; 9804]; [3248; 9448]; [3828; 5593]; [2867; 3340]; [3328; 4489]; [9396; 10374]; [10614; 10940]; [5010; 9885]; [1806; 10305]; [4975; 10830]; [1363; 9735]; [3751; 10449]; [9358; 11021]; [1118; 9904]; [179; 2337]; [7744; 8203]; [2634; 3519]; [7369; 8326]; [3914; 11379]; [5839; 10117]; [1768; 10952]; [774; 10094]; [2544; 11173]; [9053; 10385]; [4837; 7863]; [663; 1403]; [6404; 9337]; [7574; 8731]; [3883; 9033]; [4346; 4593]; [478; 5787]; [2439; 6434]; [2592; 6676]; [10718; 10889]; [5434; 9250]; [2041; 3355]; [1230; 10495]; [6431; 10379]; [3279; 10989]; [4958; 6288]; [1277; 3144]; [1349; 5464]; [7281; 11488]; [3674; 4321]; [1924; 10310]; [964; 1866]; [4234; 9613]; [2333; 2601]; [2047; 6179]; [7561; 10724]; [741; 3514]; [3726; 7894]; [7217; 10914]; [7585; 8866]; [7751; 10067]; [4219; 4794]; [9480; 11145]; [1326; 9802]; [5529; 10584]; [1645; 11245]; [9078; 11330]; [1852; 2678]; [11; 2887]; [9163; 10879]; [2993; 6969]; [5953; 6566]; [1340; 9858]; [75; 7194]; [6324; 8953]; [1002; 6830]; [5795; 9363]; [10055; 10679]; [1841; 4367]; [3983; 8058]; [347; 8067]; [5877; 10893]; [7838; 11540]; [5321; 7228]; [4481; 5302]; [966; 1888]; [1499; 4603]; [7378; 7583]; [2077; 10501]; [5418; 9790]; [613; 6496]; [5910; 10252]; [4905; 10733]; [5818; 10663]; [6276; 11514]; [2346; 4660]; [5589; 8332]; [1069; 6897]; [4534; 8696]; [1845; 7118]; [4530; 5544]; [2040; 10969]; [729; 7960]; [7198; 7773]; [2678; 4840]; [1227; 5204]; [2490; 11205]; [5418; 8635]; [1501; 7658]; [4795; 6377]; [6135; 10878]; [8740; 9375]; [6506; 6849]; [5604; 8209]; [2392; 4604]; [4355; 6078]; [5005; 7126]; [3327; 9019]; [9082; 9489]; [4352; 5026]; [5217; 8702]; [2572; 6642]; [6615; 10175]; [519; 6406]; [1577; 5559]; [1270; 10512]; [4157; 5689]; [2040; 10164]; [1937; 2869]; [3112; 6771]; [4450; 8193]; [847; 4932]; [7777; 9304]; [1687; 5323]; [1146; 8382]; [2517; 5780]; [8903; 10254]; [1214; 6796]; [555; 744]; [2604; 7654]; [5102; 6254]; [4842; 11053]; [3486; 9025]; [4692; 8076]; [2006; 10179]; [1209; 9081]; [2594; 3933]; [9701; 11173]; [5398; 6023]; [8209; 9284]; [8727; 10967]; [1387; 7663]; [8078; 10521]; [3317; 10155]; [7854; 10813]; [6147; 7050]; [1355; 5873]; [112; 6940]; [10814; 11164]; [6511; 8266]; [2558; 11042]; [6613; 9674]; [684; 8859]; [4832; 9934]; [6; 2757]; [2560; 11088]; [3675; 10775]; [1842; 8593]; [2931; 6305]; [493; 2094]; [255; 3434]; [685; 8680]; [2240; 6387]; [5040; 10987]; [1169; 2084]; [1175; 3030]; [5404; 5787]; [6826; 9566]; [138; 3973]; [3348; 10915]; [9564; 11036]; [2678; 5458]; [5797; 5866]; [4406; 7035]; [8683; 10240]; [8184; 8607]; [4868; 8786]; [7284; 10794]; [6262; 7888]; [4706; 10710]; [3180; 9991]; [380; 3856]; [2398; 9201]; [2960; 11156]; [94; 1772]; [961; 3609]; [3041; 3416]; [2242; 8661]; [3480; 9879]; [429; 7131]; [8978; 9757]; [5554; 7959]; [2562; 6572]; [3444; 7189]; [8445; 9671]; [7760; 9568]; [7; 10821]; [1279; 1824]; [2694; 11572]; [8793; 10354]; [1978; 3488]; [7107; 8222]; [694; 8718]; [6822; 8238]; [5079; 8982]; [1459; 3862]; [1405; 7009]; [2654; 2724]; [3242; 3648]; [654; 2122]; [1499; 10027]; [1083; 7897]; [184; 9528]; [6242; 7555]; [10168; 10503]; [767; 2938]; [574; 8959]; [54; 7203]; [921; 6788]; [2134; 2846]; [4374; 7072]; [141; 9077]; [1514; 7302]; [7665; 8526]; [6889; 9059]; [1697; 9638]; [637; 3996]; [2903; 5279]; [1158; 2944]; [3377; 8545]; [600; 10530]; [4335; 9746]; [6983; 9071]; [8994; 9081]; [5009; 9690]; [2371; 2385]; [8440; 11124]; [3433; 8073]; [5164; 9978]; [369; 5120]; [1334; 7492]; [10234; 11099]; [6593; 11518]; [2080; 4838]; [4784; 7478]; [5589; 6185]; [1762; 9632]; [2985; 10542]; [1206; 5213]; [1920; 4556]; [6341; 10893]; [1771; 10849]; [3872; 11533]; [9412; 10883]; [6468; 6504]; [6734; 10595]; [3396; 8571]; [5391; 8048]; [4110; 10543]; [443; 5577]; [5603; 9624]; [4147; 9644]; [3206; 5414]; [100; 8621]; [2116; 6723]; [784; 9253]; [91; 4371]; [5815; 10446]; [3141; 9900]; [1252; 5157]; [5565; 10271]; [2834; 6185]; [5475; 7345]; [361; 2919]; [3886; 5523]; [3719; 6349]; [484; 1040]; [3763; 6621]; [3622; 6416]; [3888; 4815]; [6591; 11017]; [204; 8570]; [6554; 11135]; [8823; 9683]; [664; 9494]; [425; 810]; [855; 6810]; [846; 8976]; [630; 1215]; [1280; 2263]; [5354; 7361]; [4641; 9374]; [1121; 1452]; [4419; 4831]; [7130; 10140]; [3305; 7998]; [3243; 7120]; [282; 7298]; [2424; 3819]; [6723; 11479]; [2184; 10748]; [1341; 9305]; [1642; 10199]; [5253; 7659]; [2827; 4963]; [1057; 6513]; [1300; 4019]; [7779; 10936]; [8550; 10813]; [1265; 7216]; [7868; 10227]; [6953; 7218]; [6354; 9518]; [9158; 10854]; [1281; 8099]; [4082; 9918]; [2129; 3470]; [1659; 10903]; [6733; 9514]; [4675; 11186]; [480; 10265]; [3548; 9984]; [3493; 3861]; [4176; 9553]; [781; 6995]; [571; 3213]; [2584; 4050]; [743; 4259]; [595; 1355]; [3864; 5494]; [491; 6667]; [59; 594]; [3978; 5781]; [9081; 9294]; [1330; 4204]; [1799; 10132]; [3356; 10164]; [672; 2514]; [1210; 3321]; [2488; 10354]; [2256; 4369]; [7369; 8570]; [4222; 6114]; [1051; 2510]; [829; 3629]; [2324; 9199]; [7298; 9858]; [4354; 5479]; [6052; 11408]; [6150; 8533]; [2104; 10364]; [9065; 10639]; [1479; 1644]; [3130; 7727]; [7892; 10947]; [3341; 8701]; [2090; 9153]; [1185; 6832]; [3050; 5519]; [4827; 10021]; [2535; 3353]; [2676; 2834]; [3298; 8250]; [3396; 9539]; [9550; 10280]; [3419; 9708]; [5473; 11300]; [6694; 11383]; [3764; 4458]; [2764; 5283]; [9926; 9978]; [8576; 10424]; [5162; 9314]; [634; 2356]; [9515; 11575]; [1878; 7526]; [3179; 3431]; [4097; 6711]; [8603; 11466]; [4988; 10854]; [286; 2023]; [5949; 10074]; [1395; 6776]; [10049; 11108]; [5733; 11358]; [3041; 3847]; [184; 10764]; [6751; 11112]; [934; 2594]; [4380; 8123]; [1789; 7080]; [1288; 3122]; [2910; 10719]; [2077; 7712]; [4998; 10387]; [4776; 11506]; [2842; 2856]; [672; 4287]; [197; 4960]; [1785; 7311]; [4747; 9987]; [3587; 6393]; [3346; 8216]; [570; 977]; [3864; 6112]; [1006; 3759]; [7635; 11401]; [999; 6752]; [1090; 8368]; [651; 5288]; [2213; 5664]; [1330; 4822]; [7002; 10707]; [3229; 8755]; [8872; 9738]; [5596; 10844]; [4595; 5809]; [7755; 9224]; [300; 7690]; [3286; 8508]; [177; 6536]; [8642; 10215]; [120; 6002]; [4812; 7729]; [3819; 8971]; [1587; 9524]; [3998; 4772]; [5551; 8068]; [1798; 7492]; [4279; 10649]; [7727; 9835]; [5748; 8582]; [894; 8025]; [450; 11017]; [2697; 5834]; [1950; 10515]; [4863; 6913]; [5238; 6036]; [5243; 7134]; [5079; 5225]; [2155; 10920]; [5364; 8592]; [5455; 7956]; [3082; 4140]; [6519; 10307]; [9587; 10780]; [1027; 10247]; [6004; 8171]; [2611; 5686]; [3211; 10377]; [2141; 9709]; [1494; 5926]; [9393; 10914]; [5222; 8135]; [7128; 8321]; [6400; 11554]; [1018; 9380]; [4421; 10301]; [2580; 9756]; [3299; 9443]; [4477; 6446]; [1798; 3304]; [3417; 4968]; [6345; 8814]; [8704; 10288]; [3532; 4726]; [4342; 10193]; [7334; 9328]; [5804; 6955]; [1661; 6224]; [1912; 3591]; [3226; 11035]; [9974; 10263]; [8391; 9010]; [1567; 10726]; [1409; 2970]; [2289; 9176]; [6; 6034]; [391; 6599]; [2182; 8555]; [7765; 8733]; [7049; 9317]; [1228; 9725]; [1120; 6250]; [636; 9813]; [7718; 8917]; [1690; 11476]; [3519; 4090]; [509; 7759]; [3515; 6600]; [223; 4921]; [3449; 8232]; [11513; 11567]; [4605; 7920]; [1649; 2026]; [1702; 5824]; [4852; 7797]; [528; 8940]; [3317; 9244]; [3907; 6831]; [4044; 6540]; [489; 1815]; [308; 10105]; [2321; 4526]; [428; 2293]; [2819; 8186]; [927; 8807]; [1283; 10162]; [2461; 7165]; [1280; 9110]; [4329; 8752]; [1440; 4080]; [631; 1467]; [3616; 6601]; [4357; 7013]; [2671; 4881]; [2366; 10661]; [5320; 9312]; [338; 1595]; [6523; 8065]; [7529; 11192]; [733; 7786]; [3193; 10066]; [7523; 10623]; [6613; 7958]; [641; 2535]; [3753; 8188]; [2822; 11062]; [5711; 9318]; [8388; 9381]; [2060; 2633]; [845; 5748]; [5053; 6874]; [8010; 9960]; [9873; 11230]; [2688; 5585]; [1098; 3161]; [1688; 4158]; [3241; 8952]; [94; 4244]; [5598; 7347]; [9061; 9073]; [4388; 5144]; [3331; 8845]; [4547; 9338]; [2926; 4595]; [1548; 6780]; [1109; 9362]; [5107; 7460]; [243; 11133]; [3632; 8958]; [1791; 2751]; [6369; 9826]; [9132; 9663]; [7829; 9925]; [3407; 9779]; [3874; 6212]; [1778; 5148]; [4680; 7773]; [7536; 10053]; [2247; 3906]; [3804; 3938]; [6601; 9021]; [4839; 5551]; [8092; 10685]; [2032; 9579]; [4102; 4534]; [7097; 9602]; [1842; 9455]; [10807; 11205]; [3505; 9913]; [361; 3968]; [2836; 7280]; [205; 3428]; [4635; 7599]; [2911; 8393]; [7611; 7729]; [5832; 8816]; [4849; 5084]; [2347; 9748]; [795; 1392]; [1789; 8666]; [5682; 9222]; [784; 2731]; [7421; 10988]; [6394; 7738]; [7607; 7960]; [1371; 3430]; [6; 2814]; [1031; 5991]; [2703; 10699]; [8685; 11148]; [1873; 7963]; [8497; 11097]; [6976; 10722]; [4262; 10777]; [5566; 6953]; [2489; 9400]; [1856; 9487]; [6529; 7000]; [6561; 11419]; [3691; 10961]; [4663; 8842]; [1707; 9364]; [492; 6063]; [5750; 6481]; [5194; 8478]; [1667; 9965]; [6675; 9454]; [21; 9861]; [6991; 7970]; [4584; 8734]; [831; 8912]; [2471; 4283]; [5344; 8422]; [10786; 11401]; [6829; 6888]; [7637; 11528]; [1128; 1736]; [7819; 11010]; [3585; 4499]; [1382; 2784]; [1437; 9661]; [2022; 3898]; [572; 700]; [2549; 6044]; [2120; 10068]; [4324; 8221]; [2421; 6798]; [688; 8230]; [5972; 9869]; [4914; 11470]; [6593; 6769]; [7193; 8454]; [3511; 8118]; [90; 10755]; [7430; 7643]; [5188; 6754]; [520; 3923]; [3131; 5618]; [2785; 4981]; [1981; 6876]; [458; 5674]; [5119; 8088]; [5558; 8889]; [174; 9298]; [7354; 11189]; [6917; 8182]; [6423; 7647]; [8482; 8829]; [3088; 9304]; [199; 4632]; [3647; 10988]; [1100; 9463]; [6516; 11221]; [2187; 7102]; [1965; 8975]; [2987; 5465]; [6639; 9342]; [7227; 9512]; [8839; 10005]; [66; 2009]; [7213; 11334]; [3240; 9294]; [438; 834]; [1479; 7954]; [51; 3606]; [23; 8728]; [7553; 11375]; [1524; 4664]; [9631; 10355]; [1728; 8631]; [1328; 4725]; [4368; 8812]; [1126; 6496]; [3092; 5235]; [845; 4756]; [5540; 6000]; [5269; 11364]; [1289; 11563]; [2935; 10886]; [411; 4649]; [4204; 8007]; [1437; 11434]; [5042; 9106]; [10484; 11331]; [28; 4884]; [8463; 9852]; [3847; 6457]; [6186; 10662]; [8832; 11412]; [2475; 5424]; [1423; 10223]; [6275; 9199]; [5685; 5950]; [6767; 9661]; [232; 11480]; [5846; 6807]; [2006; 3633]; [760; 7435]; [6837; 8902]; [3729; 11282]; [1639; 2119]; [2079; 8807]; [1360; 2704]; [4753; 9353]; [276; 4582]; [6678; 9589]; [5551; 6889]; [10378; 10504]; [1164; 2011]; [66; 6465]; [5697; 9343]; [1939; 9177]; [3331; 6698]; [8100; 11089]; [1804; 8760]; [5663; 9732]; [4737; 10698]; [1779; 10393]; [377; 5014]; [6199; 7460]; [7376; 8025]; [2014; 6503]; [2358; 7067]; [6349; 8158]; [6780; 9842]; [3043; 4137]; [6248; 6571]; [18; 358]; [10789; 11512]; [2312; 6318]; [9037; 10258]; [1468; 5404]; [5327; 6376]; [7484; 11099]; [10096; 10767]; [3957; 6170]; [9898; 10028]; [3; 1174]; [4648; 9471]; [5804; 9159]; [5732; 7593]; [6707; 11407]; [7070; 9015]; [938; 5589]; [3051; 3624]; [4585; 9122]; [1156; 6980]; [5483; 10272]; [8814; 8873]; [2615; 10641]; [6357; 11028]; [1405; 7684]; [937; 6118]; [7414; 9956]; [2092; 7833]; [2359; 5733]; [5819; 7188]; [9521; 10428]; [3889; 11489]; [4255; 8614]; [2761; 6652]; [390; 7827]; [8048; 9720]; [1446; 9563]; [4589; 4703]; [580; 754]; [7331; 10079]; [763; 9506]; [880; 10091]; [3813; 8619]; [3154; 7485]; [1591; 9136]; [3776; 6485]; [6924; 8385]; [1589; 6057]; [1496; 10030]; [2528; 7208]; [8684; 8776]; [1621; 8224]; [1404; 10441]; [695; 5026]; [5597; 10535]; [5754; 7486]; [1210; 6411]; [1903; 10539]; [1533; 5344]; [2431; 6494]; [1032; 7802]; [60; 7669]; [2228; 6165]; [4416; 9447]; [6284; 7651]; [2571; 5750]; [10265; 10306]; [3381; 11217]; [1260; 2741]; [3223; 4215]; [1144; 5010]; [6030; 9986]; [2503; 11473]; [8353; 9551]; [772; 3152]; [77; 8023]; [3545; 10093]; [4375; 6413]; [5861; 7733]; [2977; 10575]; [864; 6124]; [1095; 1361]; [3037; 8374]; [4406; 4945]; [10182; 11210]; [6825; 10634]; [5486; 5577]; [6050; 7605]; [2433; 6166]; [287; 5739]; [1684; 8522]; [217; 10635]; [348; 730]; [7290; 9623]; [843; 7125]; [6787; 8248]; [1649; 8686]; [1496; 6192]; [4732; 10191]; [3674; 4622]; [3109; 9539]; [3945; 9811]; [125; 8013]; [4569; 5474]; [3566; 6782]; [6628; 6656]; [7331; 11502]; [511; 4292]; [1918; 7763]; [5056; 8975]; [5584; 11346]; [4433; 9750]; [9565; 10995]; [6803; 8350]; [1858; 6177]; [2500; 3200]; [667; 8188]; [7415; 7416]; [166; 9892]; [6394; 7364]; [1846; 8045]; [8780; 10661]; [3064; 9365]; [320; 910]; [1034; 6669]; [4172; 7127]; [1677; 6546]; [2578; 11377]; [5642; 8668]; [3390; 7091]; [1844; 8349]; [3015; 4935]; [2643; 9493]; [5475; 7215]; [5000; 7888]; [2613; 10782]; [1354; 1547]; [2322; 9852]; [232; 689]; [6186; 9670]; [799; 6398]; [7488; 10681]; [4713; 7831]; [1299; 6721]; [979; 5053]; [7548; 9234]; [7582; 8064]; [6763; 11179]; [3497; 10721]; [2385; 11305]; [1604; 4324]; [1941; 7127]; [8878; 9260]; [297; 7850]; [5928; 11482]; [2088; 4144]; [2585; 4196]; [2867; 7292]; [2862; 6948]; [3832; 10418]; [1194; 3113]; [2907; 10074]; [6883; 10133]; [1344; 9473]; [3944; 7626]; [8868; 8922]; [24; 2214]; [994; 5684]; [2797; 9155]; [5161; 10973]; [87; 284]; [86; 6475]; [8587; 9811]; [2888; 5486]; [5374; 8987]; [3877; 6754]; [4659; 10173]; [7544; 10939]; [261; 1753]; [3459; 7180]; [2437; 4274]; [1695; 10053]; [1781; 9073]; [291; 3847]; [17; 11192]; [6612; 7926]; [1851; 7560]; [9817; 10360]; [1221; 7164]; [8077; 10621]; [1666; 7780]; [5520; 9162]; [4835; 8305]; [413; 8159]; [6323; 7042]; [6101; 8161]; [10748; 10869]; [2680; 10044]; [8380; 11561]; [1307; 6157]; [5727; 9640]; [5073; 11102]; [5321; 8952]; [3674; 5240]; [147; 311]; [7433; 9014]; [6373; 9788]; [6718; 10200]; [395; 10212]; [6863; 7171]; [155; 9971]; [49; 3159]; [1980; 11511]; [2353; 7555]; [2626; 2991]; [907; 8293]; [2283; 6035]; [8630; 11335]; [7800; 7845]; [383; 2631]; [2442; 3813]; [1473; 10367]; [74; 10921]; [2992; 7663]; [2770; 8782]; [1717; 6563]; [8155; 11227]; [7167; 11315]; [5973; 8891]; [5601; 7033]; [869; 8159]; [5233; 7546]; [7807; 10894]; [5035; 7561]; [7058; 9086]; [1213; 9100]; [6433; 6782]; [9457; 11090]; [5185; 7505]; [8263; 8666]; [2917; 6149]; [3575; 7058]; [710; 1282]; [8860; 10053]; [7799; 10602]; [5854; 9707]; [5668; 10483]; [5086; 7095]; [3212; 11328]; [623; 4696]; [5724; 7382]; [3791; 8002]; [3770; 7125]; [3307; 5149]; [3214; 9122]; [9745; 9813]; [7914; 10710]; [1216; 8593]; [3294; 10579]; [780; 5030]; [6318; 7717]; [2639; 5400]; [2425; 11298]; [303; 2597]; [7274; 9976]; [6430; 9062]; [3588; 4236]; [4527; 7639]; [6614; 10869]; [1916; 9327]; [2876; 4939]; [4856; 9800]; [1036; 8002]; [3761; 5103]; [6412; 10361]; [414; 5969]; [4271; 10278]; [5947; 8312]; [910; 6550]; [2271; 9676]; [34; 2715]; [5481; 10202]; [426; 5979]; [3294; 9774]; [8180; 8334]; [5599; 7979]; [998; 5616]; [3007; 9717]; [5063; 11382]; [4562; 6670]; [2136; 3974]; [6676; 8313]; [1288; 5570]; [2721; 10262]; [5305; 7882]; [1846; 2865]; [2441; 11376]; [4929; 8534]; [1008; 6684]; [168; 8922]; [1684; 2537]; [319; 2675]; [5606; 7995]; [403; 7284]; [905; 8434]; [504; 8090]; [4508; 5279]; [3124; 7619]; [7532; 9587]; [1952; 6674]; [1773; 5211]; [3677; 8734]; [3023; 10196]; [3; 6761]; [5246; 6147]; [6632; 10993]; [10863; 11571]; [1354; 2783]; [452; 10559]; [457; 10903]; [4259; 11341]; [8428; 11041]; [9085; 9850]; [3388; 5598]; [1485; 4929]; [4757; 8585]; [3169; 6988]; [3004; 8641]; [3468; 7055]; [2162; 4390]; [4252; 11301]; [2093; 6505]; [2745; 4216]; [301; 6576]; [1920; 8240]; [2155; 6602]; [10687; 11503]; [379; 11370]; [3715; 10315]; [5484; 8540]; [1869; 3764]; [3178; 6700]; [1397; 4708]; [7470; 10937]; [3466; 6578]; [741; 3091]; [3677; 10962]; [4675; 10064]; [7; 63]; [7229; 11225]; [651; 3548]; [6593; 11014]; [3350; 5090]; [5500; 8642]; [772; 5006]; [4321; 11414]; [806; 3836]; [2131; 11469]; [1849; 1957]; [3009; 8180]; [4279; 5526]; [2350; 9298]; [4370; 4890]; [10383; 11068]; [1571; 6527]; [3279; 6728]; [1187; 3154]; [2843; 3165]; [45; 11443]; [4990; 7200]; [2065; 7035]; [946; 9858]; [4430; 5291]; [7413; 9598]; [9180; 11160]; [5102; 10824]; [1349; 11002]; [2865; 11033]; [4508; 10085]; [4575; 5645]; [471; 4088]; [2603; 6337]; [1242; 3211]; [1424; 4945]; [7740; 8680]; [4629; 5127]; [2423; 11065]; [3631; 6779]; [6000; 8941]; [7340; 11190]; [4728; 9270]; [3066; 10942]; [6586; 9038]; [1085; 8862]; [4318; 6928]; [541; 7486]; [740; 8827]; [759; 8877]; [5771; 5856]; [2626; 4227]; [9237; 11263]; [4282; 8402]; [2446; 8955]; [6522; 8464]; [1259; 1286]; [200; 10576]; [2629; 11291]; [5275; 9789]; [385; 8077]; [6611; 10384]; [3275; 9187]; [6477; 7940]; [1556; 10325]; [7690; 8162]; [8808; 11530]; [9095; 10806]; [1122; 7589]; [160; 8898]; [277; 3067]; [9185; 10699]; [4039; 10522]; [3705; 4984]; [2856; 5978]; [3133; 8730]; [4258; 9105]; [9294; 10642]; [2047; 7529]; [335; 3422]; [467; 5793]; [3010; 9828]; [2912; 6287]; [4095; 4388]; [3138; 6041]; [7804; 8799]; [1421; 1590]; [77; 1851]; [3294; 6554]; [2972; 10475]; [2160; 8345]; [5890; 7217]; [6555; 10051]; [5121; 11550]; [2805; 8268]; [1227; 7359]; [3553; 6441]; [1414; 7185]; [1772; 4449]; [4208; 8587]; [1625; 7405]; [7977; 10797]; [3355; 9085]; [9901; 11562]; [5787; 9317]; [4758; 9404]; [5721; 10949]; [2791; 10440]; [3254; 6000]; [3789; 6509]; [6808; 9719]; [6925; 11058]; [3255; 5821]; [1360; 9177]; [598; 6410]; [1043; 7026]; [7271; 10914]; [888; 3705]; [2033; 11148]; [10590; 11383]; [3271; 6704]; [11173; 11209]; [8530; 9976]; [8478; 9786]; [9001; 9561]; [5324; 10323]; [1907; 3280]; [1083; 6051]; [780; 2078]; [2795; 3742]; [181; 7411]; [9998; 10690]; [8116; 8646]; [10393; 11219]; [5345; 8167]; [123; 7406]; [4577; 5555]; [655; 9896]; [560; 6626]; [835; 8551]; [6394; 6453]; [1512; 8012]; [6746; 8036]; [1197; 6688]; [6962; 8600]; [6114; 6813]; [4097; 9240]; [2601; 9861]; [2246; 11390]; [2554; 9291]; [5702; 8939]; [3238; 9923]; [8196; 10049]; [6725; 9037]; [1553; 10645]; [7788; 8534]; [6470; 8518]; [5231; 7075]; [6755; 11131]; [6010; 10223]; [6280; 7640]; [3539; 10036]; [2866; 11448]; [4540; 8655]; [10111; 11482]; [5367; 8841]; [3288; 9636]; [1297; 6868]; [3480; 9806]; [7733; 10705]; [4490; 5535]; [5907; 9694]; [6743; 9966]; [8517; 8535]; [697; 1396]; [566; 2633]; [4338; 10776]; [1590; 5585]; [1755; 8096]; [1569; 4708]; [9279; 9797]; [10249; 10261]; [1407; 6632]; [3458; 3789]; [2623; 6371]; [2024; 5288]; [8187; 8781]; [722; 9912]; [5942; 7594]; [1427; 10667]; [2110; 8445]; [8560; 10460]; [7316; 8673]; [9393; 11215]; [3020; 4694]; [7302; 10495]; [5415; 11460]; [396; 6894]; [7806; 9439]; [1173; 9969]; [2109; 7439]; [2723; 9584]; [5305; 10541]; [131; 8316]; [3312; 6192]; [4181; 6604]; [5591; 9592]; [1818; 8394]; [128; 8018]; [389; 6073]; [9062; 10455]; [5521; 8072]; [195; 6207]; [1804; 3019]; [410; 8081]; [601; 1233]; [7256; 10096]; [1141; 4395]; [2434; 6798]; [784; 3569]; [1343; 5253]; [2330; 5694]; [1299; 10616]; [3262; 5674]; [5512; 10588]; [1703; 2563]; [5956; 7626]; [5843; 7160]; [1729; 7167]; [3563; 9951]; [3571; 10566]; [985; 9867]; [9662; 10985]; [5993; 9356]; [2404; 9965]; [1356; 5084]; [3152; 8138]; [1445; 4375]; [4523; 5536]; [4118; 7702]; [2836; 8841]; [6007; 10193]; [1060; 7193]; [5518; 7750]; [7130; 7489]; [1927; 7532]; [1875; 7342]; [1464; 5556]; [6409; 7729]; [505; 6382]; [4180; 5547]; [6943; 11046]; [8787; 11108]; [902; 3574]; [1270; 1526]; [9745; 10057]; [4358; 7539]; [2121; 6994]; [3883; 4048]; [7773; 11503]; [5192; 11148]; [3356; 5285]; [1740; 8056]; [2268; 10427]; [2978; 11526]; [5662; 6344]; [870; 11583]; [457; 3308]; [2607; 11024]; [7371; 10153]; [2163; 9098]; [671; 7209]; [2630; 4777]; [233; 6983]; [7389; 8480]; [8662; 8753]; [6774; 9116]; [4928; 8981]; [5031; 9860]; [2244; 4741]; [1843; 4397]; [4181; 4994]; [2568; 7282]; [8781; 9384]; [1558; 7419]; [5336; 7463]; [4486; 9013]; [2715; 3545]; [11180; 11388]; [2964; 10665]; [2219; 10511]; [3946; 4346]; [248; 1979]; [497; 4935]; [1770; 5208]; [11231; 11326]; [4600; 6267]; [3356; 4480]; [4870; 7848]; [2638; 8401]; [1328; 1830]; [8051; 9107]; [2669; 6933]; [4936; 8818]; [979; 4305]; [165; 8518]; [4895; 6565]; [9344; 10786]; [4306; 8422]; [725; 6640]; [3304; 10332]; [1351; 3130]; [2944; 5825]; [8844; 9682]; [563; 2148]; [2653; 9059]; [3532; 5995]; [4497; 9121]; [1616; 3586]; [313; 4602]; [6249; 8116]; [559; 8041]; [3981; 6760]; [9151; 11495]; [8466; 10638]; [7407; 7850]; [1806; 10476]; [1369; 4059]; [517; 4782]; [6776; 7983]; [3280; 4619]; [5026; 7556]; [1452; 9197]; [2971; 6493]; [194; 2816]; [572; 1456]; [8264; 9349]; [4871; 7618]; [5079; 7567]; [6013; 11380]; [5459; 7788]; [6481; 6530]; [970; 5666]; [4796; 11416]; [6893; 8918]; [1212; 5953]; [1787; 11523]; [9535; 10680]; [317; 1287]; [4487; 10257]; [4045; 9912]; [1185; 3726]; [2714; 8880]; [472; 1575]; [7225; 7563]; [1244; 10722]; [1177; 9500]; [2736; 3943]; [2354; 3649]; [1452; 11425]; [2104; 9136]; [803; 10979]; [235; 5045]; [9233; 11439]; [1174; 2786]; [202; 2653]; [6153; 7953]; [862; 5143]; [9948; 11384]; [10974; 10999]; [630; 11209]; [6920; 9559]; [4086; 8758]; [3112; 8552]; [10150; 10737]; [2314; 10235]; [2376; 4697]; [4172; 6997]; [3587; 4092]; [3730; 10816]; [751; 9634]; [7652; 9858]; [3104; 10539]; [91; 10527]; [5227; 10016]; [1679; 6462]; [5848; 6162]; [899; 7253]; [3139; 6561]; [5446; 7845]; [3168; 11463]; [831; 8058]; [6187; 9011]; [2093; 8172]; [725; 3875]; [1191; 9532]; [790; 2018]; [5115; 5237]; [4617; 10622]; [173; 329]; [3681; 6736]; [2031; 3507]; [8591; 9854]; [2465; 3964]; [4183; 11269]; [6600; 10469]; [6660; 10520]; [693; 5441]; [4855; 10386]; [7477; 10742]; [6911; 7887]; [9027; 9603]; [3296; 7275]; [5419; 5998]; [584; 3993]; [1614; 10924]; [146; 10183]; [6687; 9310]; [1797; 7598]; [2110; 5843]; [372; 2767]; [2827; 11119]; [79; 11590]; [6655; 10526]; [549; 1905]; [7962; 10383]; [10720; 11374]; [2786; 7331]; [2201; 4426]; [4097; 4678]; [7201; 10470]; [5088; 6019]; [6519; 9884]; [7453; 11445]; [719; 9671]; [507; 11478]; [634; 673]; [7354; 10685]; [2996; 5828]; [752; 4112]; [5364; 8519]; [787; 10714]; [8629; 8752]; [878; 4416]; [2249; 7476]; [3708; 6973]; [4570; 6214]; [6097; 10541]; [467; 8265]; [4971; 10695]; [3762; 4176]; [1172; 6741]; [2937; 7476]; [2822; 6183]; [1905; 6511]; [8011; 8716]; [759; 1095]; [1378; 10000]; [1250; 8502]; [5326; 8011]; [2184; 5145]; [348; 9862]; [8567; 10102]; [5298; 5963]; [9525; 11303]; [1657; 6382]; [6292; 6821]; [4329; 6101]; [755; 1326]; [878; 10027]; [2865; 5479]; [6432; 6831]; [6478; 7176]; [3649; 9725]; [3862; 4356]; [2052; 3124]; [1398; 4586]; [1519; 6044]; [2768; 8929]; [4936; 6671]; [6961; 9023]; [3980; 11178]; [3256; 5485]; [6154; 10620]; [4276; 10947]; [6896; 8224]; [2288; 5444]; [151; 2127]; [2437; 8950]; [5916; 10455]; [6234; 9044]; [2225; 10757]; [1625; 2656]; [2583; 8775]; [5766; 6724]; [2087; 4407]; [2907; 10562]; [8931; 10513]; [9717; 11422]; [2933; 3115]; [70; 418]; [3112; 5332]; [10087; 10201]; [4070; 6533]; [3550; 11193]; [1987; 4176]; [2859; 4105]; [216; 2872]; [5061; 7847]; [9078; 10159]; [6898; 10148]; [4914; 8551]; [1108; 10623]; [6710; 10851]; [1108; 4207]; [5925; 7134]; [5744; 8254]; [6329; 11159]; [10938; 11131]; [198; 11341]; [640; 5270]; [237; 10515]; [13; 10807]; [889; 1810]; [393; 4612]; [5836; 8193]; [2971; 8079]; [5885; 8085]; [4109; 8689]; [2330; 3360]; [2806; 3289]; [1366; 3842]; [2014; 8227]; [7287; 10431]; [4198; 8357]; [1426; 11440]; [2321; 2493]; [684; 10803]; [5911; 9656]; [3196; 6103]; [2483; 10368]; [456; 11353]; [2102; 10676]; [887; 959]; [1201; 2812]; [349; 9951]; [1811; 7467]; [3368; 7499]; [3559; 4815]; [295; 1020]; [503; 7385]; [5329; 8146]; [2650; 11420]; [8775; 11423]; [2876; 10420]; [7886; 10736]; [8163; 9324]; [313; 10644]; [29; 10885]; [836; 10419]; [5230; 8517]; [1456; 9346]; [4195; 10287]; [4570; 9410]; [4064; 11524]; [889; 6266]; [3318; 6981]; [1170; 9891]; [950; 1257]; [1849; 6015]; [2136; 9455]; [6840; 8533]; [1888; 5189]; [6585; 7260]; [1130; 9711]; [1968; 4394]; [3297; 7982]; [6540; 6736]; [3183; 11078]; [3647; 9492]; [3707; 9543]; [2181; 2408]; [2420; 4676]; [2218; 7171]; [5912; 10550]; [3758; 6098]; [2868; 8973]; [9674; 11589]; [3227; 9091]; [4142; 6438]; [2270; 4328]; [6192; 9786]; [4222; 7895]; [5407; 6069]; [6644; 6685]; [2134; 10856]; [4273; 7860]; [73; 6595]; [1010; 6919]; [3723; 7393]; [4404; 10006]; [5457; 8815]; [5555; 9350]; [1606; 5452]; [1193; 10009]; [3500; 11293]; [5681; 11152]; [7047; 8206]; [5514; 6316]; [2401; 9106]; [11277; 11565]; [2428; 10929]; [4570; 7450]; [5705; 9267]; [566; 3845]; [7788; 8591]; [6596; 6994]; [2743; 9220]; [2492; 5437]; [644; 8639]; [80; 195]; [3393; 3852]; [2290; 7962]; [5156; 10930]; [115; 2633]; [2262; 5914]; [488; 7345]; [2164; 3127]; [2829; 5207]; [4909; 8020]; [3479; 9261]; [3131; 5545]; [2878; 5099]; [2443; 4390]; [8886; 10152]; [4643; 5053]; [8065; 10188]; [8347; 9120]; [7882; 11235]; [5583; 9812]; [4673; 7147]; [8413; 10871]; [6567; 10736]; [759; 9097]; [2335; 3517]; [6543; 8807]; [5793; 8309]; [4045; 4545]; [3365; 4786]; [7905; 8371]; [1985; 3138]; [3139; 8415]; [403; 11155]; [721; 9744]; [2206; 8210]; [9494; 11324]; [303; 1125]; [1731; 5473]; [10364; 11180]; [340; 10806]; [1085; 4544]; [2332; 10766]; [4064; 9109]; [1726; 2096]; [4253; 5598]; [1352; 5827]; [4096; 7112]; [944; 4312]; [3528; 7594]; [947; 7993]; [1640; 5705]; [9100; 9865]; [1782; 5007]; [944; 4662]; [1286; 7809]; [164; 11115]; [1434; 7707]; [6046; 7950]; [36; 5453]; [2928; 3226]; [5199; 9017]; [5500; 5747]; [8115; 9096]; [1298; 7819]; [2074; 8040]; [6197; 10748]; [5774; 8201]; [6534; 7889]; [5058; 5779]; [4063; 6948]; [8796; 9430]; [4126; 11434]; [136; 10945]; [1664; 6829]; [3818; 4865]; [3227; 10059]; [7293; 8880]; [734; 6141]; [1104; 4920]; [1792; 5294]; [4932; 6579]; [1069; 8117]; [3502; 6322]; [1664; 3796]; [2032; 8164]; [5769; 8207]; [2524; 8626]; [471; 10642]; [3315; 3463]; [316; 6567]; [4314; 11081]; [1676; 3806]; [4922; 6241]; [3764; 9890]; [6288; 9711]; [5765; 7684]; [534; 11341]; [7282; 10569]; [6110; 11102]; [3586; 4865]; [4109; 6892]; [6311; 7628]; [996; 6676]; [10201; 10919]; [5853; 6750]; [11042; 11535]; [4669; 5014]; [6751; 7900]; [3203; 4346]; [5438; 8228]; [3039; 9607]; [357; 2784]; [3501; 11358]; [1887; 4376]; [7554; 9163]; [8137; 8989]; [10105; 10807]; [2010; 6661]; [9795; 9827]; [607; 3309]; [504; 2430]; [9266; 10237]; [7086; 10980]; [508; 2549]; [2536; 9336]; [609; 3355]; [3054; 3849]; [1156; 3524]; [2594; 6308]; [601; 9129]; [5258; 7637]; [4829; 9409]; [314; 6820]; [997; 6096]; [2769; 3838]; [1016; 3894]; [331; 3791]; [1992; 4146]; [1744; 10460]; [1271; 8550]; [2391; 7827]; [1553; 7482]; [1331; 2185]; [7640; 11165]; [3419; 8269]; [5527; 5960]; [8708; 8754]; [5525; 5887]; [7090; 9944]; [3699; 4876]; [889; 10885]; [1023; 7667]; [1596; 6805]; [2294; 11277]; [2284; 6425]; [5434; 6900]; [4317; 7140]; [9480; 9950]; [5179; 6381]; [74; 2041]; [6732; 11175]; [1042; 8848]; [1107; 9243]; [696; 8211]; [5076; 8131]; [659; 8329]; [6596; 9035]; [3994; 7803]; [4667; 6391]; [2117; 8355]; [682; 7000]; [5079; 8779]; [1335; 1903]; [1718; 11467]; [5135; 5678]; [9964; 10120]; [9732; 10551]; [5434; 5745]; [2199; 6852]; [588; 3551]; [237; 2570]; [5783; 10036]; [8830; 8878]; [8293; 10925]; [9509; 11418]; [6059; 8399]; [5309; 7147]; [171; 7585]; [3596; 5821]; [6674; 11146]; [2652; 7709]; [2968; 9635]; [850; 4840]; [10337; 11425]; [1431; 3839]; [3306; 9630]; [3643; 6017]; [2521; 5159]; [2209; 4106]; [5559; 6921]; [2893; 10400]; [1047; 3849]; [2424; 8609]; [7840; 10367]; [3064; 5559]; [8402; 11568]; [7077; 10381]; [1729; 7037]; [1262; 6073]; [1917; 9717]; [7108; 8913]; [453; 3460]; [2882; 6427]; [7412; 9324]; [8499; 11127]; [466; 3695]; [1719; 6699]; [3620; 6541]; [7381; 11142]; [1722; 10380]; [375; 6960]; [972; 4964]; [5411; 9251]; [3621; 10149]; [4141; 5489]; [930; 5492]; [1497; 11201]; [1595; 7572]; [2586; 9667]; [5884; 8128]; [2794; 6206]; [1185; 2978]; [1204; 7192]; [987; 9409]; [10544; 11071]; [2695; 9610]; [1480; 6309]; [2887; 9780]; [7374; 10321]; [3040; 5858]; [3668; 10345]; [275; 3696]; [9263; 9402]; [6646; 7138]; [82; 4055]; [1668; 8989]; [111; 2541]; [8644; 10296]; [3899; 4801]; [2224; 3959]; [3091; 9960]; [1847; 8173]; [231; 3774]; [6480; 8539]; [138; 3583]; [1106; 10390]; [1006; 6776]; [3396; 7563]; [4275; 4499]; [3296; 10365]; [3120; 7665]; [126; 3199]; [4239; 8225]; [5068; 11490]; [1176; 7372]; [3581; 9945]; [2275; 6526]; [80; 6237]; [4518; 10269]; [4611; 7050]; [5624; 5706]; [7243; 7370]; [7057; 10398]; [9333; 10117]; [2630; 3492]; [983; 4698]; [838; 8481]; [950; 8722]; [5473; 9674]; [6521; 7385]; [604; 1669]; [3790; 4053]; [3939; 7559]; [5156; 10906]; [2496; 7814]; [3158; 3961]; [1322; 4514]; [138; 2778]; [3930; 8944]; [7008; 10105]; [3959; 7430]; [5332; 5655]; [1345; 5437]; [8463; 9860]; [1472; 4458]; [9001; 10667]; [6477; 7436]; [462; 4595]; [4049; 7323]; [2517; 2625]; [997; 11520]; [1701; 3005]; [2323; 9175]; [2054; 4032]; [2630; 2687]; [4118; 11223]; [8600; 9168]; [1353; 1891]; [3474; 11121]; [5863; 7519]; [3673; 7574]; [2310; 3621]; [4897; 11338]; [4527; 6143]; [7104; 9008]; [711; 1111]; [8908; 9671]; [3337; 4592]; [274; 10909]; [4787; 10419]; [602; 10186]; [4203; 10368]; [686; 6881]; [2981; 6650]; [1238; 7394]; [1898; 9130]; [6560; 8736]; [8528; 10554]; [741; 3555]; [4192; 9428]; [4904; 11354]; [5778; 7946]; [4312; 7278]; [7791; 8783]; [1942; 7897]; [5741; 8818]; [2508; 4336]; [1919; 10357]; [5491; 7889]; [4627; 5569]; [730; 8277]; [7607; 10359]; [4369; 5533]; [8539; 10339]; [6388; 9568]; [2708; 3643]; [4244; 9968]; [2434; 5326]; [8939; 11212]; [2396; 2590]; [6545; 10683]; [2808; 11394]; [1815; 6220]; [6016; 11093]; [2740; 5783]; [472; 10089]; [9615; 10448]; [4551; 6863]; [3391; 10439]; [6665; 8506]; [4418; 7273]; [2761; 10043]; [9576; 10493]; [2793; 5794]; [3352; 7478]; [2106; 9028]; [3381; 5964]; [3847; 5205]; [4652; 6164]; [6708; 7829]; [1548; 4536]; [5744; 8311]; [2141; 5050]; [6057; 6556]; [1516; 11414]; [2787; 9362]; [5767; 9234]; [5793; 8203]; [1192; 5840]; [2472; 10290]; [1883; 9895]; [3934; 7052]; [2786; 11389]; [8574; 8589]; [5488; 10950]; [7945; 8795]; [7569; 10201]; [7557; 8686]; [248; 4695]; [2775; 8197]; [7439; 7876]; [527; 6739]; [7899; 8800]; [177; 2950]; [1419; 3910]; [2857; 8946]; [2633; 7740]; [3564; 4866]; [1692; 2756]; [2015; 8859]; [1914; 5020]; [1884; 2145]; [511; 2422]; [6825; 10992]; [4053; 7659]; [1374; 6769]; [2994; 11287]; [7044; 9575]; [9031; 9191]; [6316; 6392]; [7286; 9108]; [750; 1657]; [502; 1555]; [1804; 9736]; [4015; 8306]; [6165; 9606]; [4542; 11206]; [3; 3305]; [2360; 10368]; [6415; 9000]; [1403; 5605]; [498; 7448]; [369; 5348]; [2143; 3917]; [1456; 9403]; [10174; 10522]; [7625; 8924]; [4139; 6248]; [1855; 3635]; [1791; 1930]; [4678; 9939]; [2665; 2686]; [6453; 11362]; [1286; 6898]; [950; 11113]; [6638; 11115]; [3565; 3882]; [3873; 8199]; [9750; 10352]; [566; 1324]; [5586; 8744]; [7076; 7554]; [1193; 7838]; [976; 9301]; [749; 3660]; [2930; 6525]; [848; 3639]; [447; 3295]; [2274; 11324]; [5693; 6362]; [10082; 10532]; [380; 4702]; [5402; 8815]; [2914; 4487]; [5415; 6768]; [2015; 10282]; [5840; 6008]; [5100; 5444]; [2914; 7870]; [8051; 10213]; [1446; 4123]; [1977; 4513]; [975; 2259]; [412; 3085]; [2753; 7363]; [1158; 11011]; [3835; 11074]; [876; 1499]; [161; 9101]; [7193; 8088]; [477; 11027]; [1600; 10575]; [5697; 8709]; [8162; 11333]; [5882; 7708]; [1309; 1731]; [7038; 7396]; [7227; 10301]; [3302; 10961]; [2578; 4514]; [6129; 8339]; [5284; 10233]; [2137; 7023]; [2045; 7434]; [3166; 11073]; [7581; 7796]; [3941; 11069]; [2035; 3713]; [5837; 10567]; [1169; 7736]; [3837; 9965]; [3529; 5648]; [3555; 4617]; [4370; 10428]; [2427; 3944]; [2034; 9877]; [8727; 9398]; [2999; 5833]; [5979; 9869]; [2744; 10976]; [9153; 10738]; [715; 9636]; [997; 8568]; [3801; 8406]; [9248; 10975]; [401; 7002]; [6812; 7591]; [7942; 8310]; [7873; 10425]; [2740; 11207]; [33; 6017]; [7089; 9562]; [6834; 8289]; [4815; 9889]; [3571; 8102]; [1450; 3036]; [2757; 9309]; [714; 5597]; [3855; 11244]; [3839; 9987]; [1351; 5659]; [2811; 8764]; [3220; 6717]; [722; 2455]; [2406; 10930]; [658; 4914]; [8187; 11123]; [5293; 6107]; [1430; 7645]; [2369; 2380]; [4053; 10855]; [994; 4082]; [5014; 10075]; [3175; 3941]; [5162; 5809]; [2121; 7913]; [189; 6506]; [3580; 11574]; [10235; 10611]; [7124; 7812]; [8175; 9204]; [4761; 8848]; [5126; 7283]; [8498; 8891]; [1793; 5603]; [118; 11177]; [3855; 7056]; [5397; 6056]; [205; 9641]; [3880; 8052]; [4845; 8926]; [3625; 6779]; [1003; 10587]; [7983; 9384]; [5965; 8203]; [2405; 3134]; [4957; 8386]; [8699; 8773]; [5268; 9968]; [5574; 7042]; [2876; 6102]; [1666; 9561]; [3087; 10486]; [7070; 9804]; [4026; 8227]; [1156; 7769]; [779; 5567]; [8241; 9800]; [156; 6342]; [4299; 7073]; [720; 8370]; [431; 8267]; [5226; 6709]; [682; 5634]; [5358; 9080]; [558; 3878]; [6103; 7736]; [803; 7092]; [1548; 1584]; [3970; 6790]; [763; 3529]; [7684; 11545]; [8570; 8928]; [2068; 6723]; [7052; 8070]; [5436; 10841]; [7143; 8188]; [3194; 3536]; [8572; 8974]; [2011; 9572]; [2438; 4721]; [3162; 8916]; [4126; 7653]; [7321; 9399]; [2242; 4782]; [4461; 7377]; [6319; 7145]; [4915; 10738]; [1713; 5569]; [252; 5245]; [4980; 9635]; [2549; 5841]; [6621; 7860]; [3004; 6421]; [6154; 9148]; [3841; 3885]; [8012; 10047]; [8545; 10510]; [1199; 8889]; [5307; 11319]; [1685; 2366]; [4792; 8429]; [905; 5409]; [2871; 10564]; [1613; 10599]; [441; 3962]; [4942; 8373]; [1368; 10768]; [4267; 8958]; [11149; 11384]; [3513; 10970]; [7222; 8965]; [3762; 7510]; [2707; 6376]; [5074; 7711]; [4007; 11478]; [4191; 6869]; [2921; 10277]; [5370; 7480]; [8166; 9709]; [9439; 9982]; [2283; 9239]; [3778; 8393]; [2195; 7140]; [879; 3033]; [5051; 9420]; [548; 7592]; [6140; 7132]; [6676; 7866]; [480; 2735]; [3335; 11206]; [107; 7068]; [878; 6945]; [899; 1406]; [6542; 11434]; [2927; 6658]; [2832; 9804]; [6158; 8061]; [2235; 9548]; [3539; 4970]; [560; 10204]; [7623; 8504]; [9555; 10665]; [6009; 7938]; [1735; 7690]; [3044; 10626]; [5967; 7712]; [5556; 6680]; [5067; 9899]; [2696; 6910]; [265; 3870]; [3382; 10621]; [4657; 5305]; [1019; 5241]; [8790; 10983]; [3136; 10565]; [323; 10641]; [3966; 10268]; [2435; 5041]; [1413; 6299]; [4735; 9318]; [1218; 5077]; [9810; 10783]; [2189; 9149]; [775; 4507]; [5709; 6491]; [3889; 5325]; [2803; 10540]; [3949; 5376]; [3202; 10811]; [103; 2357]; [4320; 7763]; [2365; 3898]; [4162; 9806]; [3508; 11268]; [1581; 9451]; [3821; 9513]; [2665; 7573]; [2919; 10873]; [10114; 11544]; [4875; 8924]; [6463; 11275]; [2972; 8255]; [213; 9291]; [3222; 5397]; [7389; 11440]; [7707; 10029]; [1759; 9164]; [1754; 4656]; [9573; 11570]; [5184; 7400]; [426; 7305]; [46; 668]; [8977; 10004]; [4366; 6953]; [4312; 10100]; [6824; 8406]; [3128; 9118]; [884; 11566]; [934; 4513]; [2551; 5350]; [1560; 1757]; [9775; 10923]; [10303; 11042]; [7350; 11081]; [4924; 8385]; [7871; 10029]; [3053; 9883]; [646; 11401]; [395; 1202]; [7934; 8099]; [2571; 2969]; [5714; 8689]; [3976; 6367]; [60; 1855]; [9211; 9245]; [2349; 8225]; [3285; 5695]; [6465; 10516]; [4308; 9176]; [6667; 10650]; [4404; 8884]; [8602; 10076]; [6107; 8741]; [2461; 8816]; [2653; 8986]; [7417; 8115]; [4549; 9238]; [6596; 8905]; [2220; 9104]; [191; 10016]; [495; 10427]; [5686; 9623]; [2456; 11074]; [1985; 2821]; [488; 2840]; [4939; 7888]; [7053; 9531]; [2636; 7477]; [311; 11249]; [2282; 5444]; [1943; 5978]; [79; 4483]; [9788; 9949]; [2572; 2739]; [1450; 6045]; [3038; 8396]; [1254; 1969]; [4065; 5230]; [379; 8158]; [3966; 10886]; [4594; 11209]; [2997; 4608]; [2224; 8822]; [4079; 5286]; [3800; 5871]; [3141; 6989]; [3206; 5886]; [3758; 6399]; [7495; 9071]; [1929; 4336]; [1958; 9992]; [5499; 5959]; [146; 8687]; [211; 6830]; [2539; 2575]; [765; 1754]; [2915; 5306]; [2442; 2642]; [5155; 8778]; [6247; 6761]; [10037; 10602]; [2064; 6631]; [2523; 11117]; [4768; 11523]; [6418; 8336]; [10533; 11183]; [10111; 11490]; [570; 8052]; [2173; 3541]; [6532; 9754]; [3043; 6780]; [3170; 8053]; [926; 11255]; [7994; 9899]; [582; 5029]; [3037; 6211]; [5194; 10934]; [681; 4254]; [1511; 11127]; [6234; 8003]; [3058; 4055]; [5083; 6407]; [6113; 9928]; [4024; 10035]; [4591; 9328]; [472; 2575]; [819; 6820]; [3012; 4060]; [711; 5974]; [4707; 9661]; [1519; 10614]; [7938; 11064]; [890; 994]; [4690; 11185]; [4998; 9086]; [5810; 8964]; [839; 7822]; [4566; 7177]; [2503; 8505]; [9820; 10105]; [2855; 5924]; [948; 7765]; [2591; 7571]; [7356; 8056]; [6485; 10981]; [4243; 10092]; [5516; 11119]; [4926; 7870]; [856; 11559]; [199; 7088]; [753; 8428]; [6721; 10699]; [129; 11230]; [3460; 10585]; [1867; 3726]; [6729; 8308]; [1065; 3038]; [6166; 9134]; [8005; 8852]; [2222; 5580]; [1150; 8249]; [3545; 5970]; [6067; 8374]; [2387; 3203]; [4632; 7773]; [4105; 10508]; [2261; 4784]; [3785; 8840]; [2732; 3615]; [6465; 9174]; [2518; 5349]; [3724; 10816]; [1262; 6211]; [2356; 11437]; [7177; 11100]; [6585; 7024]; [8990; 9597]; [6035; 6557]; [421; 4814]; [116; 4178]; [169; 7222]; [855; 10933]; [2914; 5699]; [4502; 8050]; [4588; 7070]; [9753; 11461]; [505; 6390]; [1098; 7658]; [1502; 5267]; [4611; 7993]; [3403; 5863]; [3616; 6910]; [2900; 10904]; [1838; 10851]; [4353; 10586]; [2871; 9385]; [2151; 6063]; [4162; 10237]; [337; 8095]; [2295; 2809]; [1183; 6803]; [2172; 10323]; [3287; 3594]; [4125; 4693]; [174; 9794]; [1306; 4924]; [8144; 10461]; [5692; 8796]; [1014; 4523]; [171; 3080]; [4061; 4119]; [5776; 7743]; [6235; 11475]; [9454; 9835]; [1255; 11001]; [5639; 8411]; [2846; 10617]; [2973; 5474]; [9278; 10548]; [3648; 8272]; [2643; 8753]; [7025; 9500]; [6135; 8211]; [4485; 5736]; [870; 4370]; [7337; 10526]; [85; 653]; [5855; 9325]; [7687; 11282]; [2083; 10227]; [3966; 8739]; [8647; 11031]; [767; 3841]; [2857; 6588]; [2723; 4144]; [825; 7229]; [10415; 11283]; [1917; 5212]; [5093; 6908]; [2937; 5793]; [509; 8686]; [4218; 6681]; [9373; 9630]; [6052; 9465]; [1809; 11536]; [3624; 5942]; [4278; 4480]; [7502; 11128]; [3087; 5737]; [2774; 4459]; [716; 6131]; [7340; 10019]; [843; 1742]; [5127; 8370]; [2233; 3354]; [5722; 9711]; [7596; 11113]; [7613; 8084]; [2351; 10930]; [116; 4796]; [10468; 10893]; [1910; 4017]; [3477; 5491]; [2535; 9704]; [4398; 7564]; [76; 2364]; [478; 6316]; [3807; 10506]; [3; 2825]; [2114; 4197]; [1718; 4197]; [9221; 11437]; [1747; 9853]; [4603; 4963]; [8498; 8598]; [4202; 4619]; [4148; 7766]; [6515; 9855]; [1591; 2143]; [4581; 6867]; [1838; 8436]; [1745; 5993]; [2643; 7143]; [6070; 6206]; [1046; 7712]; [968; 6301]; [462; 7661]; [6966; 9912]; [705; 4386]; [2286; 2560]; [8385; 10010]; [2504; 10367]; [7239; 8758]; [9887; 10335]; [3282; 7251]; [7702; 10734]; [7017; 10631]; [2691; 10193]; [4936; 10599]; [4556; 4716]; [2312; 7164]; [1818; 10793]; [1725; 9848]; [2752; 7436]; [5157; 9255]; [4682; 10682]; [4954; 8926]; [7641; 9677]; [7517; 7921]; [5105; 8341]; [8291; 10725]; [6199; 7151]; [442; 5854]; [3494; 5040]; [3239; 10183]; [3369; 9475]; [5071; 6478]; [4515; 8475]; [9895; 10576]; [4790; 6236]; [812; 1600]; [8155; 10837]; [2117; 7046]; [6845; 10682]; [3760; 6098]; [765; 10829]; [6902; 8183]; [1572; 6199]; [1210; 11445]; [1334; 6785]; [1112; 1488]; [114; 3140]; [1074; 5168]; [4348; 10405]; [110; 5650]; [172; 7282]; [8476; 9323]; [3216; 8078]; [6120; 11530]; [6387; 9430]; [2536; 6067]; [7212; 9513]; [2252; 6308]; [848; 2354]; [4342; 9055]; [1938; 10090]; [6205; 6915]; [3803; 8777]; [5573; 9856]; [1464; 7955]; [784; 8196]; [4671; 4800]; [10307; 11028]; [10405; 11563]; [4326; 7017]; [446; 5168]; [9809; 9997]; [1629; 9685]; [2236; 7653]; [271; 5352]; [1919; 5502]; [1492; 10353]; [4506; 9055]; [1803; 7771]; [3172; 8506]; [524; 6929]; [4378; 7557]; [4161; 9774]; [1762; 11153]; [3407; 6868]; [2283; 10101]; [6025; 10488]; [4495; 5863]; [2165; 9291]; [1258; 3891]; [7331; 10120]; [2469; 3286]; [693; 11060]; [1226; 5107]; [5730; 9035]; [2531; 10553]; [9229; 9664]; [941; 5123]; [538; 10368]; [5445; 9805]; [2869; 9794]; [3327; 5010]; [4199; 11355]; [3299; 9378]; [92; 6117]; [2999; 9086]; [9589; 11138]; [157; 4260]; [8128; 11568]; [6447; 9026]; [64; 8233]; [6996; 10022]; [8467; 11034]; [4201; 4985]; [4039; 10319]; [3863; 8373]; [1960; 11114]; [10568; 10937]; [4606; 6202]; [5662; 7938]; [7954; 8190]; [550; 7345]; [206; 7535]; [338; 9906]; [1264; 6688]; [983; 10610]; [3691; 5822]; [3191; 4718]; [49; 6770]; [3399; 5421]; [8168; 9812]; [5117; 10474]; [1600; 2069]; [9406; 11030]; [2687; 3872]; [233; 5544]; [1589; 8326]; [1570; 4112]; [7700; 10875]; [403; 9927]; [5635; 9124]; [243; 6262]; [5485; 6147]; [7030; 11080]; [66; 10507]; [876; 9558]; [8579; 10470]; [1805; 3605]; [303; 3280]; [3518; 10566]; [9511; 11204]; [278; 11329]; [4786; 7085]; [80; 4928]; [3414; 9462]; [4156; 4437]; [8646; 8659]; [8482; 9756]; [309; 3445]; [1384; 10149]; [5088; 7800]; [415; 3871]; [7476; 7760]; [7384; 8925]; [446; 8819]; [9281; 11277]; [3488; 8071]; [4362; 4663]; [11125; 11339]; [8508; 9075]; [9776; 11256]; [1291; 10308]; [6602; 7354]; [6996; 11445]; [5445; 8195]; [868; 10390]; [5720; 10120]; [2800; 10299]; [5694; 8899]; [5687; 7728]; [8147; 10008]; [921; 1356]; [89; 1957]; [8987; 10399]; [6052; 9546]; [3636; 7538]; [6395; 9885]; [3449; 11095]; [2575; 8087]; [7047; 7596]; [5961; 7149]; [6833; 7078]; [4496; 9335]; [3596; 7358]; [1820; 5710]; [1326; 9339]; [77; 6454]; [3562; 5495]; [8159; 10368]; [6416; 11112]; [755; 9523]; [4652; 6815]; [966; 7491]; [2934; 9309]; [10176; 11324]; [1303; 6130]; [1926; 9519]; [1366; 10616]; [3644; 3992]; [3427; 6209]; [5734; 7493]; [2959; 3889]; [3519; 9181]; [5105; 7699]; [649; 2307]; [4663; 7354]; [3885; 10470]; [987; 8718]; [2084; 7045]; [5969; 6986]; [11041; 11186]; [1294; 8646]; [477; 6172]; [360; 5587]; [1791; 9452]; [8949; 10241]; [10563; 11561]; [2008; 11372]; [446; 3826]; [7922; 10374]; [6129; 6867]; [3016; 6651]; [5982; 7571]; [1997; 7426]; [10770; 11258]; [1374; 4037]; [5947; 10768]; [4478; 10583]; [2251; 10726]; [6039; 7324]; [3976; 8652]; [184; 2486]; [4192; 6964]; [3486; 5984]; [986; 6557]; [3573; 7858]; [511; 1568]; [357; 7517]; [3657; 6805]; [2729; 6944]; [4090; 10070]; [1752; 3057]; [8673; 11073]; [6025; 9496]; [6612; 6812]; [2689; 3381]; [3900; 9946]; [1603; 2934]; [3817; 8191]; [4677; 6605]; [7321; 10692]; [4246; 7550]; [7358; 7541]; [2869; 5419]; [5021; 7546]; [7877; 9826]; [1488; 10716]; [6885; 8260]; [8405; 9164]; [2849; 10809]; [2298; 6734]; [5068; 9994]; [3629; 6985]; [10177; 10289]; [4723; 5795]; [141; 7646]; [330; 10551]; [1751; 5060]; [4557; 7977]; [1761; 5748]; [5767; 10153]; [724; 5193]; [7636; 8959]; [1631; 7560]; [3499; 11426]; [8776; 9642]; [1118; 1333]; [4481; 5107]; [8531; 9811]; [2858; 4455]; [10834; 11353]; [5944; 9641]; [180; 6419]; [121; 9222]; [6222; 11083]; [284; 4490]; [3639; 7649]; [9117; 10285]; [1916; 5635]; [3722; 6371]; [833; 8869]; [858; 9865]; [4903; 10061]; [6892; 10504]; [2107; 6334]; [9920; 11548]; [609; 6128]; [3219; 11385]; [3807; 11555]; [1935; 10199]; [5214; 8610]; [630; 3972]; [3455; 11103]; [70; 2817]; [4077; 10103]; [1845; 10656]; [6358; 10166]; [288; 4208]; [598; 2182]; [7213; 8236]; [2366; 3188]; [9967; 10963]; [6629; 8939]; [1992; 6919]; [5937; 7665]; [2924; 4647]; [7875; 10772]; [3259; 7377]; [9568; 9941]; [8950; 11060]; [1541; 5707]; [5006; 7506]; [680; 7068]; [6781; 8929]; [7304; 10956]; [1022; 10215]; [6903; 9858]; [148; 7207]; [24; 5451]; [1421; 8234]; [8078; 8098]; [3004; 3071]; [4843; 9205]; [4876; 5181]; [11446; 11462]; [2969; 6268]; [4782; 11181]; [541; 6909]; [2013; 11529]; [3498; 9995]; [6144; 8493]; [3212; 9409]; [7847; 10602]; [1875; 5179]; [5548; 6927]; [844; 3685]; [3461; 3697]; [9653; 11338]; [7000; 9417]; [4450; 4965]; [5351; 9796]; [8245; 8396]; [812; 9065]; [7262; 11080]; [1907; 10729]; [4044; 6906]; [2550; 11360]; [4785; 10324]; [11261; 11308]; [1638; 5616]; [7522; 8940]; [888; 3583]; [4005; 10334]; [6925; 7903]; [1636; 1756]; [170; 1088]; [4399; 7255]; [6336; 7508]; [4350; 11500]; [1358; 2943]; [1886; 5314]; [1765; 7239]; [3439; 8610]; [8220; 8874]; [10375; 10518]; [3713; 6900]; [1197; 4688]; [9786; 10877]; [1319; 6371]; [7255; 9885]; [2281; 2810]; [9319; 11411]; [811; 11068]; [1341; 3686]; [1088; 3240]; [9341; 9480]; [1836; 7829]; [2739; 9323]; [2149; 6074]; [5753; 6527]; [587; 2665]; [7995; 10045]; [4002; 6629]; [8555; 8921]; [5561; 6707]; [1175; 6218]; [3780; 4715]; [1758; 8296]; [2658; 3857]; [504; 2788]; [2317; 6947]; [2687; 5726]; [1596; 11351]; [3091; 10505]; [4464; 4566]; [1818; 3816]; [4902; 8175]; [8154; 10455]; [6784; 9495]; [2862; 7420]; [5601; 9115]; [4484; 8601]; [6533; 9095]; [5848; 8992]; [2056; 2826]; [3198; 6588]; [949; 3030]; [4848; 6784]; [261; 1875]; [5437; 9808]; [2533; 4104]; [1757; 4637]; [5559; 9239]; [5285; 10168]; [8733; 10108]; [1070; 1455]; [5023; 8478]; [2688; 11562]; [2719; 6711]; [4271; 6399]; [983; 2210]; [1261; 10068]; [5889; 7838]; [7167; 9209]; [7690; 11236]; [451; 7984]; [1025; 10730]; [2484; 3811]; [195; 7240]; [30; 9647]; [1840; 3709]; [5133; 8242]; [2860; 5788]; [6531; 7463]; [213; 7819]; [158; 1696]; [2451; 4802]; [457; 1763]; [9178; 9569]; [3474; 11316]; [3137; 8890]; [2762; 3351]; [10814; 11587]; [3854; 7750]; [2414; 8303]; [7944; 11129]; [1473; 10489]; [325; 8410]; [3809; 10259]; [9134; 9647]; [1097; 11141]; [3339; 5614]; [2810; 5270]; [8907; 10395]; [3905; 7688]; [7969; 9092]; [2243; 2944]; [2742; 4577]; [1154; 2226]; [1123; 2913]; [6177; 9917]; [3522; 4917]; [4886; 7560]; [5262; 10291]; [1803; 9438]; [7128; 11078]; [3081; 10809]; [741; 7133]; [1052; 10967]; [302; 3299]; [1199; 7230]; [7804; 11068]; [4910; 6052]; [3850; 6072]; [7554; 10139]; [7076; 7131]; [7702; 10791]; [3321; 10646]; [6330; 9758]; [8785; 10940]; [6975; 10462]; [3098; 8130]; [3776; 11226]; [10032; 10746]; [2368; 4120]; [131; 7739]; [3625; 3860]; [1337; 6790]; [2498; 7576]; [9055; 9488]; [1061; 1230]; [1069; 5255]; [1272; 5614]; [7880; 8969]; [2426; 4475]; [9464; 11578]; [312; 6969]; [928; 9187]; [1764; 9459]; [1230; 2355]; [6408; 11115]; [4713; 11149]; [9671; 11275]; [7682; 8580]; [767; 10932]; [2966; 7987]; [77; 3315]; [4037; 5093]; [1513; 6026]; [4056; 9307]; [10002; 10099]; [2344; 5954]; [2347; 5471]; [1139; 3341]; [5020; 8044]; [1909; 5245]; [1539; 4214]; [1322; 5677]; [9281; 10716]; [6540; 8948]; [7792; 9098]; [750; 3007]; [280; 6276]; [7563; 9046]; [1710; 5035]; [6659; 7327]; [222; 10435]; [2622; 7746]; [468; 3294]; [8835; 9848]; [970; 7854]; [722; 10758]; [3050; 10667]; [2732; 4908]; [1365; 10635]; [890; 1482]; [6994; 7024]; [7610; 9242]; [5089; 9692]; [8110; 9565]; [7704; 8877]; [3067; 4605]; [2007; 4625]; [256; 11143]; [10558; 11461]; [3663; 8019]; [8852; 10552]; [6488; 8734]; [4552; 5673]; [5426; 6429]; [5116; 7701]; [4734; 11571]; [5950; 11310]; [322; 5697]; [3080; 4436]; [2775; 10970]; [1775; 11041]; [3153; 3194]; [8060; 9047]; [9; 4419]; [408; 8100]; [4047; 7608]; [3178; 11360]; [3009; 9107]; [311; 8167]; [6125; 6588]; [2883; 4272]; [4295; 8087]; [1277; 7731]; [6365; 9458]; [3158; 6197]; [1027; 7556]; [4158; 11007]; [3911; 8097]; [5024; 6957]; [2386; 10232]; [5156; 7076]; [3027; 10036]; [7860; 8962]; [3428; 3964]; [8417; 10573]; [6103; 8118]; [93; 5621]; [2723; 6592]; [104; 9917]; [5085; 5331]; [4150; 4299]; [160; 10980]; [1056; 11303]; [844; 6694]; [2798; 10334]; [3047; 11038]; [3233; 8010]; [8964; 11092]; [2367; 11279]; [5931; 8950]; [2868; 9575]; [6154; 10685]; [10052; 11585]; [2413; 7490]; [6117; 11557]; [3978; 11547]; [3851; 10274]; [559; 10847]; [8828; 10450]; [5831; 8719]; [2761; 8173]; [5775; 11039]; [9595; 9804]; [1974; 4006]; [962; 1064]; [4705; 10721]; [443; 2162]; [6481; 9336]; [4225; 11023]; [6591; 7252]; [8402; 10584]; [2415; 4129]; [5286; 7441]; [2796; 6450]; [6653; 7349]; [1270; 4950]; [76; 6690]; [734; 8353]; [2596; 2605]; [4347; 5886]; [6145; 9013]; [1007; 9451]; [3660; 9120]; [971; 7542]; [881; 11032]; [6767; 8767]; [6822; 8474]; [4370; 10973]; [7386; 10502]; [1604; 10838]; [2217; 2959]; [916; 11218]; [4980; 9212]; [4367; 10675]; [2127; 4197]; [5050; 7699]; [7748; 8639]; [7534; 10373]; [2369; 3730]; [4989; 9675]; [1472; 5434]; [5799; 8726]; [1969; 6240]; [3495; 7713]; [9028; 10056]; [3857; 11512]; [433; 10468]; [187; 7029]; [373; 3247]; [6931; 8767]; [6617; 11051]; [4036; 10696]; [8795; 9481]; [6718; 11103]; [2288; 6932]; [8609; 11011]; [2038; 6003]; [2219; 2631]; [859; 9529]; [4246; 11445]; [2068; 5845]; [3277; 11583]; [6962; 10682]; [8783; 9097]; [7960; 9784]; [101; 1219]; [4144; 11168]; [4250; 11564]; [7139; 9820]; [6362; 10128]; [1744; 5906]; [5959; 8957]; [350; 7558]; [9880; 10807]; [5114; 10851]; [1260; 10223]; [4360; 8699]; [6135; 10122]; [6068; 8900]; [2155; 11075]; [3430; 5759]; [2611; 8874]; [8676; 11078]; [4455; 8936]; [3051; 9146]; [6779; 11355]; [5812; 8156]; [3162; 3500]; [3781; 5235]; [4375; 9357]; [5589; 6771]; [3603; 10009]; [5062; 9506]; [3371; 4024]; [3503; 6395]; [3661; 7735]; [1168; 3063]; [7515; 8363]; [507; 7518]; [3275; 7699]; [2628; 3916]; [3022; 3089]; [1440; 8073]; [991; 9967]; [36; 1867]; [9590; 10428]; [58; 5598]; [1928; 11045]; [3389; 4953]; [3366; 9665]; [3170; 5589]; [627; 2308]; [2368; 4901]; [8087; 9878]; [926; 8791]; [437; 5594]; [206; 3217]; [3597; 9039]; [3015; 5651]; [2786; 5599]; [3130; 3157]; [2071; 6785]; [7265; 9662]; [11074; 11271]; [4837; 10303]; [5181; 10113]; [5463; 6793]; [2264; 10563]; [1163; 1914]; [256; 9346]; [8574; 9565]; [2781; 5605]; [1470; 2596]; [4890; 6904]; [5679; 11494]; [3422; 9573]; [9096; 11367]; [7040; 7450]; [712; 7118]; [3461; 8747]; [3607; 8572]; [3366; 5477]; [2366; 4050]; [6600; 11315]; [3016; 11514]; [3525; 9671]; [7432; 7681]; [7626; 10930]; [3693; 10975]; [986; 8037]; [6996; 8282]; [2889; 3044]; [575; 589]; [4320; 4657]; [5691; 8471]; [2575; 10990]; [2635; 11041]; [2007; 11472]; [1458; 4814]; [1422; 2151]; [5938; 8348]; [6683; 7004]; [5181; 5925]; [10843; 11122]; [84; 6364]; [640; 2115]; [295; 11502]; [4092; 5180]; [5427; 6331]; [1067; 7063]; [6335; 8923]; [110; 8716]; [4960; 7619]; [416; 6544]; [2255; 5508]; [2809; 6848]; [1997; 4718]; [11396; 11456]; [3065; 4559]; [4018; 5416]; [1243; 2566]; [8992; 10239]; [4546; 5535]; [6041; 11105]; [6951; 8108]; [2811; 6894]; [2298; 11247]; [4354; 8748]; [10121; 11487]; [555; 1411]; [1895; 10076]; [8536; 9407]; [3075; 7906]; [3028; 8060]; [932; 11160]; [7866; 9612]; [896; 5087]; [8310; 10003]; [7646; 10777]; [860; 8813]; [1634; 5955]; [5364; 11243]; [4901; 9267]; [6776; 8642]; [4413; 9678]; [2383; 6982]; [1892; 10128]; [5891; 6973]; [3193; 6033]; [7572; 9515]; [230; 5384]; [3396; 6392]; [190; 5985]; [2629; 7388]; [3861; 7660]; [4430; 10032]; [5550; 10063]; [10469; 11015]; [1911; 11309]; [9779; 10568]; [1744; 5719]; [752; 10569]; [3214; 7260]; [6282; 6979]; [2183; 6520]; [2486; 4077]; [6324; 10588]; [5008; 6481]; [368; 10579]; [466; 5452]; [4253; 11274]; [1701; 9405]; [8407; 9131]; [2829; 7045]; [8555; 9783]; [4012; 11562]; [9260; 11292]; [6839; 8186]; [3417; 7969]; [8984; 9142]; [9729; 10050]; [4130; 9339]; [4058; 7019]; [2540; 10325]; [4493; 6947]; [3249; 5160]; [2590; 9688]; [3749; 9647]; [2417; 5007]; [2412; 4663]; [2183; 5365]; [2281; 5900]; [2711; 5484]; [2664; 5638]; [4123; 9299]; [1096; 4693]; [1311; 1649]; [3233; 7286]; [5576; 8227]; [2530; 5823]; [930; 2711]; [601; 3933]; [3551; 9258]; [3355; 5182]; [7226; 8423]; [7004; 9542]; [1498; 4858]; [9368; 11360]; [6562; 8443]; [3671; 10114]; [935; 6438]; [3149; 4525]; [2077; 7948]; [1521; 9945]; [1013; 4816]; [5438; 8643]; [2611; 4849]; [1176; 5746]; [4696; 8006]; [2105; 2799]; [2633; 9334]; [3600; 8369]; [705; 10298]; [1018; 8543]; [9294; 9317]; [10293; 11273]; [4408; 7724]; [8293; 9917]; [1629; 9636]; [160; 3035]; [2718; 8102]; [1787; 3806]; [5837; 8510]; [443; 11237]; [727; 4580]; [7284; 10656]; [4612; 10937]; [9469; 11011]; [6114; 7098]; [2191; 8585]; [9157; 9204]; [4047; 5274]; [2216; 10335]; [2185; 8016]; [2562; 4556]; [256; 6126]; [2209; 2748]; [2090; 4746]; [10020; 11299]; [906; 3010]; [6564; 10717]; [1805; 5516]; [3119; 8796]; [1808; 5033]; [1550; 10659]; [5913; 9444]; [831; 1146]; [2400; 2693]; [3418; 8863]; [56; 8697]; [1988; 10104]; [7500; 11570]; [3825; 6743]; [709; 9262]; [9076; 10154]; [2759; 6948]; [5133; 9454]; [9825; 11181]; [2253; 8308]; [4474; 8320]; [10408; 11007]; [1048; 9078]; [1853; 7785]; [6045; 8408]; [3275; 5902]; [3028; 4490]; [9093; 10858]; [2273; 3648]; [7341; 9604]; [1273; 7102]; [2121; 2473]; [94; 10628]; [1276; 5121]; [188; 9509]; [3160; 6487]; [3903; 10732]; [2313; 8308]; [3567; 8531]; [733; 3566]; [7666; 8963]; [1131; 10028]; [3777; 9280]; [759; 8170]; [628; 9407]; [4086; 10035]; [1839; 2386]; [3955; 7108]; [1283; 5137]; [9937; 10967]; [5362; 10579]; [3717; 7694]; [5427; 8722]; [5582; 6381]; [7500; 9610]; [6225; 6258]; [4229; 8808]; [4053; 11026]; [7783; 9898]; [7405; 7471]; [3702; 7012]; [7867; 11474]; [5596; 6437]; [2162; 3951]; [1234; 10506]; [10630; 11311]; [1392; 5430]; [6829; 7311]; [1230; 6600]; [2510; 4634]; [15; 9715]; [10439; 10962]; [3880; 8223]; [7718; 8348]; [751; 3340]; [2063; 3541]; [8277; 9251]; [8836; 10935]; [2181; 5482]; [4011; 6612]; [2557; 8213]; [7932; 9216]; [380; 7719]; [2515; 7987]; [1584; 10861]; [3298; 7844]; [6087; 8902]; [488; 8191]; [3979; 4795]; [2239; 11472]; [2948; 10471]; [1697; 10923]; [4596; 9867]; [6275; 11582]; [451; 8309]; [2861; 11226]; [1853; 11436]; [1638; 8064]; [1791; 10558]; [4561; 5150]; [4024; 7197]; [175; 497]; [882; 8495]; [8330; 9612]; [3127; 8901]; [2712; 10379]; [1342; 10173]; [8718; 8970]; [232; 4414]; [1660; 2346]; [3769; 9307]; [3550; 4281]; [2930; 8737]; [1374; 11559]; [7472; 7487]; [4263; 9815]; [875; 7674]; [7874; 10685]; [6432; 8913]; [1549; 3454]; [722; 10815]; [5820; 6814]; [3048; 9897]; [4142; 8707]; [4352; 5319]; [8428; 8992]; [8123; 11362]; [5126; 8877]; [556; 8833]; [2954; 7229]; [7496; 8231]; [7711; 10105]; [2011; 2172]; [6427; 10417]; [4536; 9011]; [5055; 7132]; [666; 2962]; [9077; 9788]; [3931; 3949]; [569; 3029]; [3595; 10416]; [166; 1858]; [4620; 11341]; [5026; 5613]; [6165; 9858]; [4520; 6973]; [6665; 10181]; [7941; 8473]; [3643; 3667]; [8101; 9105]; [873; 6796]; [1931; 2943]; [7588; 10048]; [5320; 7938]; [9055; 11318]; [1823; 11519]; [10386; 11569]; [1296; 5586]; [4071; 9190]; [4558; 8554]; [3376; 7645]; [8174; 10522]; [2914; 9277]; [2518; 9277]; [1448; 2193]; [1361; 10118]; [3876; 11351]; [1781; 1844]; [3475; 11007]; [1570; 7259]; [5307; 7302]; [79; 8224]; [344; 9461]; [129; 1171]; [6147; 7693]; [1895; 5514]; [2548; 6833]; [2794; 3856]; [9423; 11498]; [3139; 4268]; [3796; 9493]; [6807; 8678]; [4850; 8904]; [6346; 10912]; [3536; 11259]; [2985; 7184]; [6581; 9274]; [2603; 4638]; [4380; 9140]; [6955; 8926]; [6306; 10732]; [1095; 3744]; [1604; 1901]; [1001; 10498]; [4712; 8566]; [4115; 4146]; [3860; 10043]; [3862; 10089]; [2520; 11177]; [7527; 7812]; [1723; 10079]; [4672; 8386]; [7034; 7879]; [1208; 7943]; [5944; 9942]; [1677; 6701]; [501; 8990]; [9993; 10257]; [9709; 10498]; [5657; 9131]; [5433; 10177]; [2503; 9668]; [2632; 5352]; [4187; 5311]; [5651; 9316]; [7046; 11272]; [2595; 6224]; [9945; 10216]; [261; 5746]; [3124; 5033]; [971; 1183]; [9410; 10057]; [2846; 6974]; [2995; 9726]; [5140; 6518]; [4338; 5076]; [1566; 8159]; [8063; 10020]; [659; 9175]; [4864; 11538]; [1526; 8760]; [5951; 8423]; [2949; 6348]; [1123; 1173]; [5018; 8972]; [5135; 9557]; [1002; 3098]; [1520; 4781]; [6160; 6318]; [7968; 10133]; [5449; 11410]; [88; 2943]; [2931; 8371]; [1923; 9335]; [4070; 6200]; [10412; 11156]; [343; 1183]; [6399; 9717]; [2104; 10844]; [3071; 8381]; [6366; 7325]; [2169; 9741]; [2513; 9551]; [1100; 5511]; [4837; 5554]; [2416; 3202]; [3689; 9891]; [3074; 11281]; [7921; 9913]; [1785; 3335]; [9374; 9595]; [3935; 10297]; [255; 962]; [3157; 10003]; [4888; 5492]; [4550; 8880]; [2549; 4670]; [539; 4104]; [4692; 4799]; [1371; 4634]; [440; 1092]; [5260; 7700]; [6529; 11237]; [4352; 10743]; [1081; 9941]; [1795; 2868]; [2189; 6205]; [3968; 5118]; [3482; 8608]; [4679; 9825]; [4720; 10580]; [1193; 7903]; [2817; 9157]; [6588; 8030]; [7111; 10057]; [1037; 10773]; [473; 2329]; [5398; 6479]; [9040; 9668]; [5117; 10401]; [3145; 7683]; [2780; 6996]; [2023; 4573]; [5670; 8106]; [7105; 7209]; [2815; 8680]; [7719; 8600]; [1083; 3197]; [1337; 4245]; [4702; 11098]; [2052; 6442]; [2896; 11493]; [2108; 9757]; [2232; 5097]; [6375; 6582]; [1702; 2653]; [4167; 4523]; [2686; 6206]; [2011; 6791]; [1598; 11348]; [2190; 2592]; [725; 11194]; [2719; 7817]; [1759; 3537]; [1408; 1802]; [1323; 6390]; [2374; 7782]; [2071; 3809]; [4063; 10185]; [6947; 8097]; [2005; 5441]; [6258; 10504]; [876; 8330]; [7350; 8487]; [3210; 11437]; [1187; 3496]; [4170; 7803]; [689; 5471]; [708; 3269]; [5728; 10689]; [3517; 9867]; [8656; 8873]; [4224; 7285]; [2512; 3932]; [7718; 8324]; [7088; 7928]; [2979; 6027]; [2261; 9948]; [857; 10158]; [3205; 11443]; [1133; 8521]; [823; 3377]; [9016; 9566]; [8947; 10927]; [2374; 10010]; [235; 10754]; [9918; 10835]; [3960; 9282]; [4744; 9364]; [1134; 9096]; [661; 6432]; [1072; 8218]; [2689; 8301]; [8511; 10747]; [4798; 9600]; [10218; 11477]; [5602; 8082]; [1926; 9446]; [3954; 11315]; [5255; 7974]; [6253; 9705]; [1211; 9851]; [8073; 10147]; [6309; 6604]; [1383; 8645]; [5488; 6640]; [1487; 2552]; [2879; 4237]; [599; 7782]; [5187; 9129]; [3124; 4041]; [3464; 10525]; [635; 6658]; [1746; 8855]; [6603; 6677]; [10271; 10333]; [558; 8131]; [1580; 4621]; [196; 6961]; [1084; 7423]; [7247; 10162]; [5313; 7174]; [6510; 9869]; [3893; 7605]; [4548; 11249]; [9113; 10949]; [651; 1125]; [680; 6027]; [4329; 10387]; [8054; 8161]; [4354; 11383]; [829; 3117]; [7962; 9326]; [2508; 4832]; [4044; 10403]; [5069; 7164]; [2328; 3144]; [4562; 9053]; [3970; 4977]; [6523; 9700]; [2342; 6233]; [661; 1439]; [4838; 8170]; [7415; 11035]; [8905; 9845]; [1790; 9103]; [2872; 6398]; [224; 4821]; [5265; 6702]; [6610; 9295]; [727; 8825]; [5111; 6235]; [4639; 7179]; [5270; 10429]; [6258; 8089]; [4293; 5788]; [7030; 10820]; [6720; 9840]; [8523; 9147]; [5043; 8171]; [8456; 11308]; [1510; 11341]; [8136; 9640]; [3158; 5075]; [4685; 9402]; [1877; 9822]; [3931; 11414]; [3341; 4001]; [5247; 8351]; [4032; 5050]; [1597; 4520]; [4396; 6266]; [3330; 6471]; [4711; 10973]; [5289; 10455]; [2589; 8688]; [3885; 4249]; [813; 7040]; [1620; 2410]; [2406; 3319]; [3113; 11317]; [524; 6937]; [1496; 4818]; [876; 5110]; [3293; 3556]; [4659; 7026]; [1142; 9201]; [423; 3852]; [3602; 11481]; [10506; 11222]; [5406; 11390]; [6213; 6760]; [3761; 9259]; [1889; 7149]; [5132; 6657]; [5342; 7433]; [2890; 5768]; [2513; 9982]; [5216; 11266]; [5185; 9701]; [3853; 5815]; [88; 10140]; [828; 8452]; [788; 11305]; [4303; 6051]; [2754; 10044]; [6613; 11016]; [7986; 9241]; [9689; 11350]; [3705; 7822]; [3813; 5635]; [5838; 7987]; [821; 4248]; [977; 10423]; [2844; 5773]; [1789; 10301]; [5027; 8711]; [8785; 9631]; [876; 3955]; [2187; 3931]; [5573; 9409]; [4606; 6210]; [1743; 6923]; [3494; 3788]; [2310; 8468]; [1682; 8899]; [27; 5326]; [1271; 1451]; [1530; 9259]; [2958; 7191]; [9423; 9514]; [5813; 11498]; [306; 1708]; [545; 3976]; [1792; 6034]; [3409; 10281]; [205; 7291]; [2390; 4640]; [294; 9992]; [1821; 7903]; [52; 7426]; [10124; 10500]; [2593; 4218]; [7603; 10950]; [2064; 8038]; [8225; 10704]; [10562; 11076]; [565; 2699]; [6046; 11268]; [3023; 9814]; [1922; 7581]; [160; 4865]; [3773; 8814]; [8599; 8821]; [254; 10162]; [4829; 11304]; [1337; 4676]; [4444; 10739]; [308; 10398]; [1330; 6888]; [1667; 4029]; [7592; 9606]; [6341; 10812]; [1701; 2859]; [2701; 7669]; [666; 4629]; [1637; 10953]; [10496; 11553]; [8799; 9232]; [2028; 7576]; [6083; 6208]; [2901; 11113]; [6407; 8025]; [6699; 7645]; [3050; 8203]; [5295; 8609]; [2117; 10250]; [1564; 9512]; [934; 9116]; [6973; 10099]; [5156; 8450]; [8220; 9151]; [3640; 8419]; [2024; 10436]; [5071; 10032]; [1425; 3691]; [5688; 10940]; [5820; 11059]; [1608; 1863]; [1534; 3634]; [4902; 7752]; [4862; 8353]; [1655; 5092]; [10192; 10337]; [4285; 5309]; [1849; 8341]; [6768; 8539]; [8; 1380]; [10441; 11041]; [789; 1945]; [1048; 9753]; [2437; 5478]; [2146; 4548]; [4618; 8343]; [7049; 11383]; [284; 10296]; [375; 3244]; [3145; 6504]; [5333; 10540]; [4977; 8461]; [2021; 2567]; [3244; 4231]; [6382; 8853]; [2449; 5488]; [6597; 9946]; [4572; 7594]; [5291; 7281]; [3264; 8266]; [733; 858]; [7336; 10285]; [5656; 9099]; [3999; 4699]; [4661; 10268]; [3283; 5283]; [3157; 6864]; [1906; 8070]; [7726; 9689]; [3245; 5930]; [354; 11011]; [4184; 7081]; [8444; 9151]; [6579; 8966]; [3769; 8559]; [2805; 9041]; [5348; 6660]; [1141; 1972]; [10705; 11221]; [5545; 7174]; [2680; 7060]; [7408; 11450]; [63; 7802]; [1242; 2024]; [27; 5139]; [4519; 6778]; [8528; 11481]; [2616; 3103]; [3385; 8569]; [2793; 10909]; [1838; 2809]; [6227; 6979]; [3085; 8277]; [1048; 4410]; [2013; 7536]; [280; 8968]; [6806; 9315]; [3919; 6224]; [5152; 9350]; [5718; 5789]; [3882; 6342]; [9599; 11246]; [5070; 11203]; [6951; 9669]; [5595; 6887]; [3821; 8318]; [478; 5950]; [2193; 9574]; [4458; 8380]; [7694; 10127]; [230; 5067]; [2286; 6732]; [2351; 7881]; [3893; 6881]; [7822; 8592]; [5014; 9766]; [4670; 9956]; [382; 5838]; [6266; 9162]; [2219; 8893]; [2520; 5623]; [1031; 3251]; [1802; 3128]; [8164; 9460]; [659; 7809]; [1893; 8908]; [1459; 6172]; [4043; 6044]; [6293; 10958]; [5543; 9706]; [5634; 5660]; [1856; 3364]; [5295; 6194]; [2619; 8985]; [704; 10211]; [3259; 9345]; [955; 7578]; [4595; 7688]; [8896; 9759]; [6344; 10142]; [4035; 6533]; [3472; 7359]; [2666; 9181]; [4366; 4603]; [1095; 10217]; [10775; 10781]; [8066; 11180]; [41; 1357]; [1534; 4602]; [7793; 9301]; [1346; 10967]; [3829; 4371]; [1566; 9021]; [9071; 10672]; [5241; 8186]; [473; 11567]; [7219; 9968]; [1653; 5233]; [8375; 9656]; [2145; 5695]; [4452; 6979]; [4827; 6102]; [5605; 6396]; [3726; 3869]; [2141; 8205]; [4228; 5019]; [6101; 9983]; [932; 5850]; [2826; 5275]; [5472; 10189]; [1952; 2267]; [4472; 4598]; [6180; 11215]; [5872; 6898]; [10292; 10381]; [1519; 2385]; [4662; 8105]; [10505; 11428]; [4034; 4372]; [4934; 6349]; [337; 11275]; [3601; 8654]; [2223; 10839]; [2381; 11425]; [2286; 8155]; [1684; 3391]; [4178; 4501]; [3775; 9746]; [3592; 10793]; [785; 7651]; [1809; 5722]; [1277; 8113]; [7194; 7413]; [7885; 11468]; [461; 9247]; [1333; 2760]; [4144; 6021]; [2206; 5543]; [626; 3807]; [2238; 10716]; [5786; 7854]; [4201; 5774]; [1890; 7000]; [1060; 9926]; [2142; 7221]; [3627; 5687]; [3575; 5497]; [5662; 8727]; [1538; 5794]; [6123; 7624]; [9440; 11053]; [5460; 11252]; [4560; 9275]; [980; 1302]; [4183; 7073]; [6053; 6104]; [327; 3366]; [5769; 6345]; [6305; 6325]; [7444; 10570]; [1250; 6266]; [5587; 10246]; [6072; 9537]; [5826; 6098]; [5304; 6925]; [4731; 7063]; [510; 11337]; [5603; 7746]; [2218; 11538]; [1055; 8427]; [4551; 5375]; [6605; 6967]; [5607; 7865]; [620; 6220]; [6504; 9544]; [10514; 10685]; [1162; 9428]; [6220; 6752]; [6399; 8969]; [7266; 10806]; [113; 7328]; [2940; 3952]; [8208; 9222]; [517; 4937]; [5219; 7352]; [387; 2612]; [2076; 11431]; [2288; 3208]; [1006; 11517]; [2938; 10672]; [968; 8781]; [2155; 10034]; [3609; 6935]; [7504; 9816]; [2402; 7659]; [5227; 10626]; [1619; 7021]; [6142; 7219]; [994; 6969]; [2709; 8341]; [1501; 6211]; [4494; 10452]; [1874; 4507]; [2772; 5657]; [4670; 6736]; [5253; 8814]; [972; 5867]; [3269; 6463]; [7474; 8826]; [4357; 11120]; [5494; 8876]; [2488; 2865]; [1851; 5462]; [5777; 8410]; [483; 1919]; [2666; 5611]; [7459; 9642]; [200; 5014]; [7915; 8195]; [1144; 7263]; [2763; 8927]; [5657; 6773]; [328; 7643]; [6742; 7749]; [2566; 4626]; [109; 2617]; [575; 8274]; [3899; 5704]; [4737; 6803]; [2130; 7479]; [2722; 5139]; [2498; 3933]; [3678; 7398]; [226; 9968]; [5295; 8235]; [6692; 10264]; [412; 6940]; [5133; 9405]; [3760; 8928]; [1561; 5457]; [1681; 10477]; [2478; 4405]; [1115; 11005]; [1643; 11124]; [6156; 6470]; [3699; 8625]; [1976; 3605]; [7799; 9659]; [3494; 3682]; [2912; 4458]; [1405; 3789]; [4307; 6414]; [4959; 11295]; [8040; 8967]; [2863; 3815]; [2956; 9641]; [8193; 9182]; [1687; 9487]; [2113; 11581]; [1549; 3137]; [1557; 7162]; [1987; 6746]; [2552; 5212]; [357; 4923]; [680; 10272]; [984; 4267]; [2763; 3934]; [4437; 4551]; [2169; 9611]; [4529; 7523]; [10007; 10159]; [5588; 9530]; [3589; 6147]; [3532; 5613]; [7973; 9973]; [4999; 9889]; [7819; 9506]; [479; 6202]; [2380; 6798]; [1041; 11567]; [10019; 10169]; [3716; 11557]; [4836; 11588]; [342; 2706]; [4845; 5665]; [6663; 10168]; [9390; 9594]; [960; 8353]; [1242; 11449]; [7364; 7771]; [2604; 4597]; [3015; 6383]; [3318; 3940]; [5460; 6877]; [828; 10119]; [1444; 1757]; [1727; 7707]; [4304; 10572]; [1322; 9873]; [4741; 4911]; [10819; 11484]; [2531; 9195]; [10529; 11156]; [6673; 9701]; [6910; 8890]; [6731; 7427]; [3620; 3874]; [2188; 9206]; [7756; 8352]; [5412; 9438]; [6747; 11343]; [1305; 1948]; [5005; 8525]; [3738; 11450]; [3979; 8129]; [1866; 10094]; [2210; 7652]; [832; 2667]; [988; 9596]; [2177; 5260]; [1306; 8185]; [5062; 8278]; [3102; 4823]; [4132; 6092]; [181; 11193]; [1389; 6907]; [9042; 9210]; [6763; 8439]; [3038; 4249]; [2850; 10614]; [1260; 1774]; [2863; 4433]; [996; 2667]; [3021; 5019]; [3580; 6703]; [885; 6034]; [3614; 6287]; [3312; 11584]; [4140; 5579]; [5333; 10784]; [1739; 10295]; [2623; 7575]; [11140; 11444]; [1560; 8832]; [1028; 2555]; [4288; 4696]; [2576; 7759]; [375; 455]; [858; 9499]; [221; 6404]; [3296; 8048]; [1952; 8309]; [6814; 8727]; [1613; 2427]; [5005; 11103]; [4341; 5461]; [3544; 4363]; [5691; 8398]; [390; 11316]; [1642; 10712]; [7146; 8153]; [6425; 8393]; [671; 3607]; [6581; 8152]; [755; 2554]; [3251; 10907]; [1818; 6215]; [2962; 10804]; [10410; 11167]; [4118; 6328]; [4087; 4763]; [2784; 11441]; [1597; 3772]; [3281; 5831]; [6662; 10965]; [373; 9053]; [5553; 8060]; [4772; 8249]; [1281; 5229]; [2962; 7771]; [2623; 3387]; [689; 1153]; [5855; 8398]; [2056; 5225]; [717; 6584]; [5099; 9583]; [10171; 10777]; [10900; 11152]; [460; 4484]; [3357; 6765]; [6101; 8804]; [2334; 3634]; [2007; 7211]; [8328; 11290]; [6616; 7183]; [2010; 5230]; [4134; 6807]; [791; 10855]; [1766; 8253]; [8109; 9647]; [9869; 10038]; [2816; 10174]; [3750; 6817]; [1293; 8972]; [5212; 9995]; [1685; 11482]; [4739; 8085]; [8223; 9934]; [7851; 8076]; [4616; 6931]; [8064; 9123]; [321; 8058]; [8993; 9586]; [2033; 5749]; [1056; 1862]; [8313; 9827]; [1969; 8208]; [92; 8760]; [185; 8951]; [364; 4752]; [3328; 4091]; [1183; 10682]; [5135; 8435]; [1763; 6827]; [8249; 9253]; [5014; 10360]; [7686; 10079]; [3223; 3516]; [3042; 4636]; [3565; 6663]; [7405; 7585]; [8613; 9715]; [2194; 2849]; [1493; 8629]; [4201; 11011]; [3382; 7710]; [6305; 11212]; [6334; 9698]; [4539; 10252]; [4026; 4779]; [1760; 3496]; [1078; 2910]; [2066; 10369]; [10032; 10917]; [5491; 8605]; [285; 1961]; [10584; 11430]; [2332; 8798]; [2647; 7089]; [9364; 10414]; [3731; 4457]; [6625; 9473]; [3584; 11577]; [2550; 7156]; [6070; 8662]; [10488; 11318]; [7057; 8349]; [343; 8705]; [4; 9239]; [2131; 4728]; [5277; 9965]; [3107; 11396]; [2544; 9970]; [4101; 5838]; [235; 7859]; [3633; 10688]; [54; 5569]; [5532; 8205]; [389; 7545]; [1755; 2347]; [1634; 10688]; [379; 3824]; [133; 385]; [7228; 10274]; [1813; 11370]; [1529; 5949]; [476; 724]; [1035; 2408]; [1656; 4970]; [2834; 8389]; [2089; 8235]; [33; 154]; [1060; 3404]; [3393; 3657]; [6008; 10012]; [1524; 8234]; [7945; 9511]; [901; 2593]; [7067; 9767]; [493; 1078]; [1614; 8127]; [864; 3465]; [494; 2434]; [4291; 8944]; [3910; 9252]; [171; 1966]; [1301; 6849]; [2861; 7152]; [1419; 4626]; [256; 1515]; [5868; 6595]; [4159; 9175]; [2037; 6890]; [1014; 10175]; [1092; 5170]; [2442; 8107]; [1871; 4908]; [6548; 9710]; [5333; 6409]; [3614; 5295]; [3796; 7029]; [2184; 9919]; [835; 9836]; [7153; 10234]; [2764; 6064]; [4608; 9536]; [11066; 11442]; [9581; 10724]; [3755; 4372]; [291; 6181]; [4380; 10059]; [6804; 10430]; [7573; 8726]; [5581; 5733]; [3874; 9140]; [1231; 7907]; [3590; 9381]; [4366; 8848]; [171; 1511]; [12; 7116]; [5542; 5778]; [4266; 8617]; [2241; 6265]; [4727; 9766]; [6043; 6703]; [2428; 6091]; [3028; 3612]; [184; 5129]; [4301; 4639]; [5497; 9418]; [7220; 10651]; [248; 10217]; [2579; 3227]; [5228; 7658]; [3315; 6301]; [3507; 6471]; [2796; 10809]; [107; 9231]; [3226; 10393]; [1132; 5992]; [5342; 5693]; [3931; 5486]; [4648; 10008]; [2542; 6728]; [1231; 10135]; [326; 1398]; [166; 3395]; [1497; 7810]; [351; 2394]; [631; 11079]; [6977; 7109]; [163; 9513]; [5423; 10758]; [1727; 4300]; [1658; 2251]; [3316; 9505]; [1496; 8339]; [6707; 8911]; [5795; 9583]; [5394; 8485]; [8651; 11109]; [8071; 9302]; [218; 10351]; [6045; 6725]; [123; 665]; [6414; 8285]; [7534; 8316]; [316; 10105]; [523; 1538]; [8113; 10652]; [10009; 10904]; [2113; 3181]; [578; 11044]; [4845; 7869]; [7186; 7983]; [7962; 8204]; [1792; 10710]; [2286; 4829]; [2015; 10193]; [3777; 7247]; [5272; 6401]; [1822; 9798]; [4841; 7346]; [1847; 5132]; [6291; 9009]; [8577; 9416]; [3615; 5384]; [5137; 9367]; [402; 8724]; [3300; 7443]; [3448; 3931]; [4695; 9399]; [5285; 6232]; [7117; 8943]; [4176; 10497]; [8648; 10006]; [2478; 10260]; [8046; 8625]; [2669; 6795]; [6502; 6546]; [4031; 4107]; [266; 2016]; [1661; 10388]; [348; 10716]; [6617; 8189]; [5237; 8793]; [6892; 10114]; [130; 8544]; [8; 445]; [4584; 10857]; [821; 3931]; [480; 10054]; [3312; 7022]; [2689; 7797]; [695; 4758]; [1940; 10153]; [7406; 11274]; [7447; 11275]; [711; 8674]; [1908; 11369]; [2211; 8172]; [5292; 6598]; [3210; 3712]; [1856; 4039]; [2415; 5723]; [7567; 9098]; [272; 4813]; [5592; 6109]; [4105; 10980]; [2421; 5888]; [929; 10415]; [5036; 5073]; [1758; 9516]; [4182; 9887]; [5300; 9091]; [3228; 11057]; [4154; 7839]; [3596; 9009]; [4305; 8008]; [7474; 8533]; [975; 10009]; [7754; 10802]; [8191; 10803]; [2057; 6550]; [4030; 8712]; [7657; 10869]; [475; 8905]; [8534; 11142]; [1034; 10589]; [8964; 10726]; [2305; 10035]; [4454; 7727]; [4320; 5283]; [2005; 9743]; [89; 2453]; [5324; 7583]; [2984; 10323]; [317; 4532]; [3111; 5180]; [5535; 5551]; [9609; 10649]; [5156; 8938]; [5792; 6116]; [212; 9619]; [4966; 6562]; [1016; 8855]; [2079; 8352]; [4407; 8261]; [2734; 9744]; [1576; 6977]; [8016; 8304]; [2811; 7520]; [2899; 7367]; [1608; 5734]; [3117; 8758]; [1687; 3583]; [3084; 6366]; [327; 8229]; [141; 4841]; [6972; 9961]; [6165; 8175]; [4515; 4946]; [5633; 10566]; [3742; 4996]; [3367; 3621]; [7563; 9648]; [3107; 4256]; [1370; 8198]; [3429; 10134]; [1557; 1608]; [3164; 8173]; [831; 1504]; [5719; 7307]; [2455; 2758]; [581; 6991]; [5381; 10695]; [6434; 8750]; [964; 10893]; [3321; 9288]; [802; 6401]; [3001; 3456]; [4188; 4709]; [2629; 8014]; [449; 2341]; [5366; 8882]; [5068; 9417]; [8875; 9475]; [3850; 11480]; [6020; 10803]; [3215; 10740]; [7473; 9731]; [1525; 8866]; [8531; 8884]; [3205; 7019]; [5230; 9371]; [8652; 10342]; [5940; 11224]; [1246; 6418]; [2519; 6691]; [939; 11371]; [4201; 8677]; [1145; 8995]; [832; 4334]; [933; 11556]; [3894; 11378]; [4692; 8914]; [1328; 1505]; [3351; 7194]; [3454; 3909]; [639; 10328]; [9396; 11375]; [1516; 4185]; [3135; 5849]; [6808; 7597]; [1013; 3564]; [6116; 6323]; [8110; 9362]; [8476; 11405]; [6707; 6764]; [1258; 6778]; [3443; 7133]; [979; 7363]; [263; 7947]; [9879; 10970]; [8814; 10646]; [1291; 1973]; [3206; 6439]; [3421; 7559]; [5544; 7036]; [1160; 3210]; [9157; 10985]; [5540; 9546]; [6142; 7894]; [2178; 2964]; [1706; 3154]; [4265; 9577]; [7375; 8741]; [6162; 6267]; [8030; 10133]; [6158; 8777]; [3228; 4104]; [810; 5433]; [10951; 11310]; [397; 9990]; [458; 4227]; [1111; 5546]; [37; 1726]; [7230; 11396]; [10129; 10340]; [7104; 8813]; [4058; 10573]; [4767; 9572]; [6917; 10118]; [635; 5967]; [1996; 9093]; [38; 1547]; [1706; 2349]; [1898; 8935]; [5265; 10199]; [3914; 7037]; [273; 1040]; [4198; 10179]; [2111; 6949]; [3159; 5414]; [2546; 6877]; [7021; 10067]; [2315; 3746]; [1256; 7374]; [1846; 4207]; [9812; 11171]; [7203; 8768]; [484; 8026]; [1029; 5116]; [1058; 10772]; [2495; 9167]; [6099; 9620]; [2549; 9403]; [10119; 11449]; [4518; 7659]; [2677; 7868]; [3983; 4871]; [1708; 8006]; [92; 4361]; [10360; 11511]; [2860; 3788]; [1244; 6559]; [9539; 11547]; [3319; 8274]; [4939; 6376]; [1448; 3356]; [1262; 4886]; [484; 3838]; [2466; 9526]; [2311; 6205]; [5714; 6372]; [4406; 9296]; [4838; 9707]; [8322; 11556]; [3064; 4722]; [7890; 8893]; [8387; 9699]; [574; 3731]; [1909; 7888]; [5744; 8466]; [6983; 9909]; [4777; 5267]; [6946; 10781]; [3610; 4666]; [4764; 9943]; [781; 799]; [8402; 9226]; [4823; 10523]; [3020; 4800]; [4328; 7511]; [498; 5025]; [6657; 6864]; [5655; 11026]; [6462; 9806]; [2386; 3881]; [920; 3213]; [1360; 9901]; [2723; 3274]; [4345; 7865]; [1265; 6631]; [205; 7405]; [10357; 10408]; [863; 6062]; [3258; 7193]; [2258; 8018]; [8287; 8313]; [5363; 11002]; [7259; 11254]; [3995; 7459]; [2725; 10113]; [595; 10219]; [1603; 3593]; [3363; 10400]; [2196; 10523]; [381; 9701]; [6286; 7486]; [7280; 9098]; [4611; 8896]; [3016; 3122]; [4053; 7814]; [6632; 7342]; [1242; 7936]; [4330; 9785]; [4755; 9025]; [11262; 11574]; [4220; 5483]; [7528; 8796]; [1205; 8808]; [8873; 11389]; [7027; 11254]; [4439; 9728]; [3792; 5945]; [5750; 7075]; [2672; 5914]; [3006; 5036]; [6207; 8482]; [5069; 7091]; [355; 3161]; [976; 5723]; [5495; 9185]; [3432; 4097]; [9718; 11373]; [1664; 7228]; [4931; 10540]; [5301; 9319]; [3059; 8430]; [4334; 6120]; [8668; 10583]; [1598; 8860]; [1407; 5128]; [285; 8434]; [352; 10410]; [388; 5903]; [3552; 6084]; [5427; 11121]; [3651; 9473]; [4265; 5202]; [999; 11160]; [8724; 10111]; [6620; 9186]; [1205; 11036]; [4166; 4442]; [5511; 7035]; [960; 4035]; [497; 2813]; [1424; 8865]; [4761; 11418]; [6473; 9109]; [7469; 10794]; [262; 2946]; [2254; 2906]; [5970; 8488]; [3534; 4350]; [5068; 9848]; [1537; 3265]; [9945; 10574]; [3242; 3949]; [4215; 11100]; [2781; 8435]; [1850; 4893]; [8562; 8628]; [661; 6977]; [7944; 9747]; [6299; 6862]; [939; 2003]; [8564; 8674]; [5205; 5773]; [2736; 5659]; [688; 8019]; [4666; 11157]; [3607; 8369]; [3051; 3950]; [6254; 9721]; [2068; 5910]; [5619; 8981]; [3597; 11064]; [1425; 9416]; [8152; 10019]; [545; 8091]; [4466; 10695]; [1443; 9241]; [2625; 3734]; [2248; 7948]; [642; 4991]; [565; 3081]; [6703; 9705]; [4743; 5496]; [4146; 7492]; [10212; 11052]; [193; 10268]; [5138; 6025]; [2178; 3395]; [3215; 7333]; [8313; 10502]; [2284; 3791]; [1654; 9811]; [3951; 10407]; [4820; 10819]; [496; 628]; [1645; 5561]; [3613; 5127]; [6159; 8679]; [307; 8276]; [5498; 6718]; [1802; 7430]; [425; 5299]; [1012; 2615]; [3425; 5049]; [6061; 9275]; [8743; 9682]; [3165; 9848]; [3690; 6286]; [4259; 8658]; [7024; 11574]; [8449; 9235]; [3655; 7231]; [5003; 9341]; [4774; 7791]; [1785; 5921]; [444; 9863]; [1278; 3646]; [1909; 6896]; [2470; 2991]; [5649; 10620]; [1568; 4351]; [2618; 8524]; [3573; 3792]; [2080; 11100]; [1366; 6095]; [2336; 6559]; [6818; 7510]; [5218; 10060]; [4350; 11004]; [5002; 8715]; [5372; 7494]; [6932; 7797]; [1149; 4525]; [240; 8878]; [5899; 10394]; [10381; 10591]; [2074; 8252]; [415; 773]; [2094; 2488]; [72; 10233]; [8862; 10262]; [227; 7892]; [4247; 9721]; [1415; 5583]; [1100; 10675]; [6112; 7654]; [4152; 10615]; [3438; 4856]; [2064; 7160]; [2807; 4989]; [374; 7538]; [56; 2533]; [3113; 8479]; [4422; 4999]; [342; 1584]; [1677; 3489]; [837; 5727]; [5379; 6729]; [6380; 9512]; [9119; 10453]; [5191; 7432]; [1172; 2041]; [2556; 10224]; [1271; 6184]; [8666; 9195]; [51; 1785]; [2822; 7899]; [2142; 8140]; [9518; 11101]; [1015; 6938]; [4754; 7808]; [1886; 4013]; [1571; 2689]; [239; 5219]; [2260; 10081]; [7363; 9430]; [1415; 7811]; [489; 4613]; [2843; 5743]; [5809; 6663]; [5270; 5631]; [2561; 10194]; [288; 4330]; [4954; 11252]; [1946; 5168]; [941; 2643]; [2558; 9896]; [722; 10449]; [3647; 8362]; [4428; 8173]; [5486; 7326]; [751; 2519]; [4329; 8167]; [8687; 10772]; [9029; 9755]; [7343; 11033]; [1248; 6708]; [10605; 10968]; [2331; 4605]; [1145; 6206]; [7590; 7877]; [4845; 7121]; [2078; 3378]; [4438; 8460]; [2685; 4352]; [5551; 11484]; [2414; 8962]; [6198; 8851]; [5963; 9708]; [3184; 8614]; [3178; 4635]; [8183; 11023]; [540; 7910]; [5984; 6798]; [6051; 8774]; [1837; 9331]; [5799; 11182]; [5973; 6639]; [2958; 9964]; [2397; 7453]; [4348; 5160]; [1180; 7489]; [1770; 10738]; [4485; 7875]; [9643; 10341]; [7031; 8421]; [9333; 9361]; [3977; 6156]; [3323; 7618]; [2149; 10734]; [559; 1894]; [5032; 10673]; [1269; 3747]; [1479; 4523]; [2506; 4363]; [1699; 2577]; [111; 980]; [1172; 10230]; [917; 2541]; [1174; 10276]; [1441; 7422]; [2781; 9671]; [8450; 9623]; [3025; 10031]; [2376; 5421]; [3282; 11350]; [4550; 4863]; [3270; 3419]; [2841; 4437]; [2495; 3800]; [535; 9013]; [3621; 7783]; [8060; 11316]; [6857; 9530]; [10047; 10932]; [126; 11437]; [332; 4897]; [2381; 5391]; [9548; 10430]; [6437; 7631]; [5566; 10556]; [3911; 6983]; [3047; 11079]; [1235; 9774]; [1134; 3306]; [6887; 7867]; [7117; 10773]; [1356; 11232]; [1731; 11109]; [487; 9322]; [3116; 5961]; [271; 7223]; [7539; 8961]; [4746; 11167]; [2346; 2522]; [4997; 8534]; [2119; 4051]; [317; 3434]; [3064; 9154]; [4860; 5038]; [1227; 9482]; [718; 7161]; [7533; 7611]; [721; 10842]; [1153; 7089]; [2643; 5899]; [4198; 9268]; [6076; 8160]; [3447; 10797]; [1874; 10232]; [7614; 10424]; [2452; 9714]; [1108; 4313]; [746; 9559]; [684; 2265]; [522; 3435]; [5993; 11316]; [4226; 7502]; [671; 6941]; [2706; 9981]; [552; 9693]; [2911; 7003]; [514; 9209]; [270; 6597]; [2105; 8825]; [5116; 8010]; [114; 9467]; [3942; 11126]; [1604; 4113]; [7643; 9260]; [1729; 9477]; [7429; 10994]; [1156; 3199]; [476; 9856]; [6059; 10034]; [7038; 9860]; [3557; 8282]; [7292; 7498]; [2839; 5787]; [5172; 6040]; [589; 10672]; [6537; 9285]; [625; 3913]; [7911; 10364]; [654; 2399]; [3360; 8118]; [873; 7398]; [1991; 10766]; [9582; 11437]; [586; 10751]; [4660; 9433]; [7339; 11077]; [4842; 8915]; [8147; 9301]; [8177; 10641]; [7523; 9851]; [789; 3913]; [1313; 6542]; [2443; 7261]; [795; 5613]; [2255; 7964]; [412; 11510]; [11243; 11418]; [3407; 3746]; [1745; 6172]; [695; 11044]; [2397; 3883]; [4055; 11137]; [3542; 9074]; [2924; 3777]; [713; 5207]; [4259; 7934]; [6779; 8013]; [5345; 6102]; [121; 4514]; [4386; 11092]; [3537; 4916]; [610; 11094]; [1665; 3560]; [544; 10474]; [2142; 6343]; [2106; 4434]; [1575; 4017]; [2377; 3207]; [4529; 6832]; [11251; 11255]; [2872; 9602]; [2624; 9500]; [2166; 7868]; [9069; 11171]; [286; 2487]; [3995; 6898]; [3517; 3890]; [6517; 9302]; [5609; 9716]; [2338; 2498]; [1631; 11496]; [1912; 10203]; [1279; 10290]; [3773; 11400]; [412; 7672]; [4106; 11051]; [4706; 8572]; [6941; 7536]; [3921; 10517]; [10392; 11157]; [2481; 4654]; [6402; 7258]; [10827; 11085]; [1425; 10465]; [2110; 4152]; [988; 3294]; [1418; 9294]; [2010; 6954]; [1702; 2637]; [2847; 10080]; [2252; 6487]; [7145; 8470]; [1102; 3581]; [5659; 9779]; [8789; 11130]; [386; 1913]; [2695; 4024]; [8518; 9324]; [10252; 10746]; [1164; 7842]; [1446; 10938]; [2468; 10434]; [2411; 7648]; [2032; 11035]; [690; 5707]; [2995; 3912]; [4858; 8188]; [4328; 4990]; [1781; 10635]; [2249; 5785]; [147; 1523]; [2110; 2997]; [5265; 6068]; [4179; 4867]; [4788; 5914]; [4134; 7376]; [58; 7867]; [2487; 8582]; [4858; 5155]; [2304; 9629]; [7378; 7486]; [4764; 11155]; [1741; 4039]; [5976; 7742]; [2676; 8454]; [4417; 11047]; [1363; 8028]; [8646; 10798]; [10542; 11050]; [1366; 8299]; [2364; 6647]; [335; 10969]; [1450; 10656]; [1042; 9141]; [4347; 8773]; [3069; 11539]; [7793; 11269]; [1224; 7842]; [1745; 6790]; [3204; 10451]; [98; 826]; [650; 1339]; [10456; 10875]; [4071; 9255]; [3706; 8568]; [4322; 6622]; [896; 8161]; [3518; 8517]; [2729; 7310]; [888; 1103]; [5497; 7491]; [5029; 5171]; [3788; 9317]; [44; 6605]; [5532; 9929]; [2628; 4225]; [5406; 10756]; [1294; 5174]; [7071; 7877]; [7110; 7805]; [6487; 8580]; [10377; 11117]; [8220; 9777]; [4579; 10196]; [1561; 9840]; [432; 5559]; [7787; 10649]; [2467; 9353]; [6908; 7297]; [5703; 11100]; [9550; 10557]; [2391; 3127]; [281; 9527]; [1122; 3727]; [3670; 7352]; [939; 10436]; [3428; 11202]; [641; 6837]; [5446; 5967]; [1356; 1864]; [7806; 8797]; [7339; 10085]; [6181; 9570]; [830; 5955]; [1410; 2100]; [833; 10390]; [3744; 5961]; [473; 11575]; [1068; 8752]; [4461; 8231]; [1539; 1921]; [7137; 11075]; [4871; 10546]; [5211; 6450]; [436; 8660]; [2829; 8964]; [258; 3635]; [192; 5267]; [4046; 5895]; [6532; 7144]; [1895; 5124]; [778; 8774]; [831; 8408]; [8869; 9768]; [901; 6895]; [2792; 6803]; [118; 10421]; [1298; 10503]; [6688; 11040]; [2667; 11238]; [241; 8542]; [3316; 5268]; [1171; 5443]; [4063; 9632]; [1880; 4442]; [2934; 6105]; [7770; 10964]; [480; 7777]; [6364; 11101]; [1851; 8585]; [6427; 8417]; [598; 8964]; [5357; 8503]; [3251; 5223]; [2711; 7753]; [900; 2886]; [691; 2712]; [3242; 10772]; [6750; 10763]; [6722; 8715]; [3308; 8359]; [402; 5992]; [4323; 7842]; [1269; 1413]; [740; 5233]; [1330; 2066]; [3016; 4952]; [270; 2840]; [4819; 5013]; [834; 4868]; [5536; 7283]; [7220; 9342]; [448; 11248]; [5499; 8155]; [7462; 8875]; [9222; 10020]; [3778; 6214]; [7518; 9938]; [2727; 7451]; [136; 6408]; [4905; 10799]; [196; 797]; [2565; 7123]; [3683; 6327]; [4211; 6446]; [8343; 8516]; [4298; 9074]; [962; 2959]; [2336; 10454]; [720; 6809]; [8182; 11042]; [615; 2851]; [3142; 6353]; [7692; 11380]; [1185; 1661]; [498; 11311]; [1830; 9535]; [7931; 10642]; [1487; 8415]; [6848; 9712]; [1208; 6748]; [6598; 9537]; [296; 3256]; [454; 11012]; [2175; 9166]; [981; 6742]; [862; 9494]; [84; 8446]; [3929; 5578]; [9135; 9970]; [10317; 10879]; [4984; 7843]; [6613; 10195]; [5147; 9527]; [4951; 5451]; [2530; 3099]; [2215; 8191]; [4338; 6914]; [3653; 6811]; [6576; 10313]; [1597; 2894]; [561; 8226]; [6765; 6802]; [1310; 2837]; [1334; 7395]; [4229; 8849]; [3415; 6646]; [2556; 4670]; [123; 4967]; [3941; 5938]; [1829; 10757]; [10194; 10822]; [180; 4720]; [10195; 11424]; [5463; 10298]; [3166; 6292]; [10000; 10956]; [3529; 3900]; [4031; 9214]; [6493; 7403]; [6400; 11376]; [285; 11337]; [720; 11265]; [6177; 8860]; [3586; 7817]; [2559; 3813]; [619; 7426]; [1186; 3309]; [64; 6615]; [4267; 7397]; [4671; 5760]; [521; 3858]; [1646; 4233]; [658; 10737]; [6933; 7301]; [4973; 6098]; [5449; 6027]; [1110; 1220]; [3751; 5790]; [3628; 6888]; [1976; 6996]; [4780; 9086]; [3789; 5493]; [7025; 7240]; [1758; 11240]; [5937; 5966]; [11276; 11476]; [1102; 3207]; [5365; 8958]; [4780; 6053]; [6242; 9231]; [265; 3464]; [4184; 10903]; [2410; 5918]; [4151; 9265]; [9660; 10460]; [1260; 1514]; [8531; 9185]; [5303; 11463]; [5389; 10483]; [1629; 9490]; [2558; 9953]; [1503; 11071]; [7633; 11418]; [4388; 5421]; [2834; 8316]; [2022; 6940]; [427; 9834]; [5998; 8497]; [3645; 10975]; [896; 2176]; [5842; 7203]; [2208; 2377]; [6786; 9452]; [9525; 10393]; [711; 6560]; [5351; 8097]; [458; 1950]; [3262; 4040]; [3599; 6843]; [2350; 4712]; [2351; 8320]; [4412; 10329]; [171; 1893]; [8214; 10767]; [3156; 6273]; [1268; 10800]; [368; 8823]; [3621; 8295]; [2692; 5580]; [7795; 8339]; [3439; 9944]; [4206; 5915]; [1155; 9583]; [2626; 4179]; [5024; 11243]; [1590; 8757]; [2037; 10200]; [1373; 10974]; [7316; 11495]; [1311; 9342]; [4671; 7183]; [4789; 11376]; [2249; 11022]; [6440; 11043]; [4883; 8759]; [4475; 6490]; [7432; 9576]; [5045; 6054]; [3857; 10992]; [4716; 6552]; [777; 9758]; [3795; 10114]; [5679; 8851]; [2131; 9461]; [1293; 1946]; [3476; 5638]; [2667; 3025]; [5029; 8180]; [5524; 8159]; [7554; 10855]; [971; 9250]; [6081; 6764]; [3906; 7851]; [3242; 8625]; [6599; 8447]; [1232; 7305]; [7667; 8288]; [2715; 4944]; [2837; 10791]; [3998; 10823]; [6262; 9027]; [8603; 9141]; [3842; 9529]; [8806; 9500]; [7603; 7714]; [1459; 9189]; [530; 2310]; [3833; 5279]; [1304; 5868]; [2178; 2460]; [4975; 6789]; [2263; 3507]; [4852; 7887]; [924; 9030]; [3291; 10365]; [6498; 7210]; [7890; 9649]; [4538; 10171]; [6212; 11542]; [587; 9610]; [9639; 10605]; [1759; 3415]; [4444; 7503]; [772; 8609]; [6252; 7908]; [445; 5770]; [6086; 9336]; [1294; 3995]; [8200; 10979]; [9377; 11544]; [8356; 11492]; [1135; 3184]; [9283; 11128]; [5016; 8641]; [4121; 11172]; [7784; 8068]; [8405; 11384]; [2340; 9180]; [1756; 9129]; [4920; 5146]; [4235; 11459]; [1303; 3707]; [9618; 10825]; [7376; 7684]; [3114; 5541]; [2369; 4633]; [2365; 7143]; [8860; 8931]; [2700; 9873]; [4358; 10711]; [3069; 5017]; [8423; 11559]; [620; 11197]; [9569; 10559]; [3719; 6065]; [11079; 11499]; [3256; 4843]; [5907; 10101]; [5470; 9346]; [7123; 9840]; [1970; 2830]; [3188; 3396]; [822; 7167]; [3003; 10032]; [860; 6870]; [700; 8867]; [5930; 7991]; [2131; 11234]; [2371; 9940]; [9033; 10148]; [1213; 7173]; [4485; 11583]; [4665; 10238]; [2805; 3227]; [1127; 11536]; [432; 3575]; [1063; 7579]; [9681; 11500]; [7874; 10539]; [3163; 10290]; [6499; 9989]; [6160; 6359]; [3570; 8170]; [1118; 10669]; [6363; 9347]; [138; 5730]; [578; 10166]; [5115; 10824]; [8705; 10817]; [3564; 5322]; [4400; 5594]; [5375; 8654]; [5606; 11061]; [3938; 7226]; [8377; 10759]; [5491; 9768]; [2058; 4474]; [3552; 4157]; [2511; 8391]; [243; 619]; [5502; 10307]; [3009; 5635]; [9242; 9867]; [4006; 4512]; [2364; 8314]; [3415; 10460]; [2443; 6163]; [2634; 3479]; [213; 1127]; [7033; 8337]; [5498; 9784]; [4937; 5021]; [2946; 8669]; [2745; 4249]; [4090; 6842]; [3305; 8787]; [8630; 11181]; [7016; 9861]; [3627; 8249]; [1525; 3987]; [7907; 10971]; [7064; 9528]; [873; 5495]; [3452; 8433]; [6607; 11504]; [2894; 3941]; [1397; 1708]; [2243; 2668]; [1300; 8191]; [3609; 3886]; [3509; 5934]; [5138; 8286]; [527; 5235]; [9393; 10012]; [3848; 9537]; [5415; 10257]; [2731; 9023]; [6396; 6746]; [2639; 9434]; [4659; 5026]; [3688; 10753]; [6988; 7789]; [4245; 9358]; [3156; 4476]; [363; 6682]; [4458; 10405]; [9437; 11408]; [8568; 8744]; [1216; 1673]; [5453; 8455]; [3371; 9733]; [1406; 8186]; [884; 9013]; [2407; 3799]; [1097; 10060]; [2000; 11554]; [5572; 6834]; [5360; 9395]; [3705; 5822]; [7435; 11110]; [1898; 11277]; [100; 1734]; [9363; 9365]; [10987; 11373]; [218; 10091]; [3977; 7449]; [9763; 10238]; [1427; 2243]; [2452; 9584]; [5344; 7357]; [5750; 8799]; [10101; 10233]; [5997; 8676]; [1205; 7499]; [265; 6123]; [4869; 8003]; [4559; 7023]; [5465; 5782]; [200; 4193]; [3663; 5165]; [5924; 10268]; [9604; 9777]; [2469; 6905]; [8637; 10742]; [5184; 10458]; [4213; 9769]; [3027; 11370]; [4930; 5623]; [6327; 10658]; [322; 9259]; [1991; 10286]; [1494; 3064]; [2828; 11160]; [27; 2171]; [687; 11077]; [2249; 11453]; [2829; 7598]; [4885; 5099]; [2794; 11549]; [2419; 9420]; [877; 4004]; [1247; 2783]; [1023; 3829]; [3947; 10185]; [10170; 11477]; [1204; 3086]; [1632; 1843]; [2659; 5847]; [2017; 2408]; [8538; 8827]; [5060; 10176]; [1781; 5349]; [4346; 5171]; [3353; 7167]; [1691; 8839]; [4344; 8508]; [8235; 8237]; [9226; 9578]; [827; 9902]; [3215; 9862]; [8535; 11158]; [2938; 4858]; [4762; 9206]; [5758; 7481]; [3748; 10325]; [1338; 1746]; [2812; 6439]; [1628; 11119]; [967; 9158]; [2887; 7552]; [1644; 2203]; [1239; 10785]; [6815; 9792]; [7503; 7914]; [7776; 9012]; [400; 3799]; [2353; 3831]; [8206; 8596]; [7407; 10835]; [1356; 8337]; [86; 5329]; [6705; 8873]; [7836; 10194]; [4720; 7051]; [2688; 3528]; [10437; 11201]; [410; 730]; [698; 10030]; [6147; 7010]; [2307; 3836]; [1539; 8394]; [9561; 11503]; [1037; 10627]; [5729; 8190]; [5385; 8380]; [7606; 7638]; [7506; 10440]; [1470; 9728]; [2932; 6490]; [318; 3743]; [6068; 11039]; [277; 1490]; [1051; 7300]; [490; 2537]; [1742; 4185]; [9460; 11047]; [4797; 7806]; [561; 11048]; [52; 8727]; [7309; 10276]; [808; 10925]; [4187; 8816]; [3597; 5567]; [675; 11335]; [1143; 7239]; [7311; 10322]; [7390; 8171]; [1015; 7239]; [801; 6721]; [2847; 3534]; [4906; 11132]; [5868; 7571]; [5281; 11009]; [4557; 4562]; [6272; 8186]; [6774; 9336]; [2411; 4135]; [4083; 4679]; [9810; 10271]; [6412; 7442]; [5515; 9146]; [4331; 8164]; [2284; 4710]; [4142; 8642]; [1901; 9109]; [5473; 6641]; [1899; 8282]; [896; 2420]; [1859; 8883]; [1026; 8128]; [6222; 7668]; [10642; 11151]; [2140; 7590]; [3749; 4402]; [5961; 6580]; [959; 3873]; [5434; 7063]; [9360; 10011]; [363; 8723]; [722; 3179]; [1291; 5551]; [83; 3421]; [35; 6413]; [819; 6495]; [6173; 10785]; [2587; 4495]; [1410; 3930]; [7421; 9281]; [10217; 11510]; [4245; 5333]; [2800; 5542]; [8714; 10960]; [4822; 7596]; [5914; 9743]; [2048; 7600]; [3455; 11071]; [2419; 9233]; [6617; 10425]; [3456; 7509]; [242; 9493]; [1171; 9956]; [923; 6444]; [3655; 3962]; [1915; 10639]; [5215; 10681]; [8392; 8815]; [2778; 7072]; [1941; 8827]; [2230; 2514]; [1130; 10305]; [6548; 8726]; [4705; 5102]; [381; 6245]; [4093; 10173]; [1130; 7272]; [3733; 8325]; [7186; 8609]; [149; 2862]; [2169; 4870]; [1812; 10460]; [2182; 9239]; [3851; 10266]; [1425; 7570]; [6349; 8866]; [5222; 7664]; [3350; 5554]; [643; 9032]; [1013; 8565]; [4409; 7561]; [8806; 10094]; [6502; 8327]; [1891; 5276]; [4100; 10189]; [2644; 10209]; [6001; 10785]; [6309; 8686]; [332; 2165]; [4853; 8706]; [4595; 7916]; [13; 5603]; [5272; 7377]; [10039; 10187]; [3711; 9855]; [2037; 2068]; [2503; 7725]; [1104; 8279]; [2193; 8997]; [44; 9053]; [4022; 7273]; [2587; 5918]; [7999; 10186]; [6204; 10740]; [6302; 7865]; [1749; 8202]; [7902; 10253]; [1751; 2613]; [5505; 6043]; [4484; 5991]; [3701; 9517]; [4518; 4821]; [743; 2796]; [1553; 8263]; [1584; 7576]; [4164; 9958]; [1301; 4255]; [301; 11496]; [5664; 7204]; [1858; 5112]; [3482; 7120]; [483; 10978]; [2766; 5452]; [2252; 2787]; [5186; 10585]; [2127; 7222]; [3281; 6083]; [8784; 10469]; [826; 8284]; [3213; 8019]; [534; 7129]; [7468; 9745]; [3268; 8480]; [4085; 8702]; [5764; 10417]; [7099; 7404]; [4743; 9611]; [3960; 6721]; [3538; 7028]; [6075; 11218]; [3510; 4980]; [992; 2695]; [10169; 10552]; [1609; 7767]; [6024; 6742]; [1742; 6576]; [6374; 8252]; [7676; 10017]; [5923; 10073]; [5900; 8369]; [6402; 9519]; [1539; 9630]; [4870; 8231]; [10219; 10265]; [8137; 11543]; [6431; 11388]; [6178; 10942]; [2563; 6166]; [7599; 7703]; [2710; 8845]; [5862; 5983]; [7816; 9623]; [4165; 8600]; [4385; 6654]; [3053; 9184]; [2210; 5489]; [3242; 9837]; [4166; 5792]; [3078; 10180]; [3854; 3985]; [5123; 7522]; [11017; 11534]; [2237; 6531]; [3950; 7830]; [1385; 1592]; [3439; 8846]; [6303; 8735]; [3655; 7158]; [5062; 6465]; [1294; 4857]; [599; 4066]; [5311; 7169]; [9406; 10892]; [9314; 11303]; [1377; 3579]; [2564; 4832]; [1346; 2014]; [6984; 9069]; [1220; 5847]; [6167; 8847]; [7983; 10271]; [4576; 6198]; [8534; 11313]; [1474; 10278]; [4084; 9119]; [6529; 10367]; [1639; 7901]; [4603; 11404]; [7865; 8710]; [3448; 8908]; [1963; 4026]; [8549; 10840]; [6899; 8365]; [5151; 8765]; [9371; 11406]; [4287; 6445]; [5193; 5204]; [401; 6279]; [4506; 10690]; [886; 3318]; [3848; 6748]; [8457; 8972]; [4625; 9823]; [8880; 10795]; [2691; 6835]; [3190; 4304]; [6698; 10711]; [5053; 7826]; [5423; 7359]; [450; 3138]; [3099; 7569]; [4451; 6445]; [3561; 9320]; [6563; 11425]; [5766; 10327]; [1220; 8425]; [5263; 9706]; [2668; 7009]; [6539; 10250]; [3387; 6696]; [1737; 3467]; [5283; 6194]; [426; 458]; [3824; 6697]; [5434; 10527]; [10012; 11186]; [55; 5618]; [6906; 8731]; [1307; 8020]; [2914; 7415]; [5130; 7083]; [6427; 7750]; [4849; 6841]; [6368; 11307]; [5284; 10933]; [3503; 11193]; [1471; 5418]; [1255; 10489]; [145; 4730]; [4966; 9311]; [441; 7532]; [1564; 11244]; [5795; 8412]; [7818; 9937]; [3931; 11081]; [438; 818]; [2559; 2878]; [7436; 10020]; [6730; 9040]; [5042; 10245]; [11086; 11572]; [1779; 2888]; [5846; 10979]; [650; 5023]; [3601; 4157]; [493; 7291]; [5006; 7555]; [3858; 5476]; [861; 2991]; [1986; 3366]; [5248; 7088]; [2662; 6389]; [2142; 3879]; [2880; 7780]; [247; 7235]; [3256; 10511]; [300; 4617]; [634; 3739]; [3820; 6123]; [386; 3637]; [1728; 2549]; [4240; 4265]; [580; 6886]; [1010; 5716]; [2846; 5917]; [984; 10911]; [2097; 3355]; [755; 5197]; [7888; 10652]; [734; 4320]; [470; 5213]; [6700; 9928]; [1434; 8114]; [1215; 9504]; [8756; 10812]; [5167; 10667]; [3558; 4029]; [2524; 10188]; [8521; 10945]; [7337; 9209]; [10461; 10715]; [248; 1020]; [555; 7364]; [3697; 3814]; [180; 1825]; [2981; 4398]; [1484; 8581]; [840; 4315]; [1769; 11194]; [618; 5434]; [458; 1015]; [6435; 7536]; [8150; 8908]; [5438; 9790]; [8540; 11345]; [4099; 11149]; [1081; 10039]; [10011; 10105]; [2046; 6749]; [1325; 10399]; [1576; 7766]; [84; 8129]; [2911; 5507]; [6276; 10108]; [4713; 9507]; [5702; 10021]; [8194; 10304]; [10025; 10161]; [3361; 9126]; [6351; 7434]; [4042; 6077]; [212; 2837]; [6199; 7794]; [4576; 9394]; [3394; 8485]; [2581; 9136]; [1141; 4404]; [4809; 8060]; [1017; 1894]; [5963; 7675]; [4872; 6130]; [665; 1442]; [2466; 10502]; [3499; 11288]; [1689; 4394]; [6107; 7050]; [217; 6163]; [3926; 10574]; [251; 4993]; [1710; 8654]; [5020; 8630]; [3055; 4831]; [2143; 5503]; [2901; 10780]; [4539; 5324]; [3078; 5000]; [1925; 9747]; [4012; 6561]; [4196; 9122]; [145; 10609]; [1557; 8008]; [1855; 5221]; [213; 9023]; [3873; 6402]; [2070; 2931]; [2019; 9759]; [1885; 7315]; [1814; 8603]; [7042; 10310]; [7288; 7333]; [4285; 8009]; [5777; 7646]; [4560; 9934]; [163; 11538]; [2276; 3157]; [5134; 6264]; [4177; 7917]; [2097; 4323]; [9719; 10723]; [7195; 7492]; [968; 7212]; [3805; 4524]; [1620; 4923]; [276; 5184]; [2208; 5093]; [2387; 7310]; [7286; 10239]; [3447; 3503]; [1427; 1495]; [4593; 8138]; [101; 7253]; [7356; 7975]; [5549; 7014]; [10323; 10995]; [984; 4308]; [5143; 5572]; [7512; 8488]; [4989; 5105]; [952; 5524]; [890; 4646]; [2616; 5453]; [10408; 10544]; [2223; 9888]; [2598; 4847]; [8200; 9239]; [3250; 6722]; [3996; 4068]; [9035; 10040]; [4104; 7573]; [2870; 10638]; [9931; 10363]; [5289; 5747]; [836; 4036]; [5939; 6795]; [5192; 5814]; [4233; 6640]; [699; 3923]; [51; 6331]; [1264; 3143]; [6735; 10270]; [11217; 11221]; [5743; 7206]; [6639; 7529]; [3864; 3925]; [2645; 10304]; [7039; 8402]; [5451; 6051]; [10244; 10836]; [3181; 10284]; [6734; 7766]; [720; 8533]; [2766; 5346]; [7468; 7761]; [1002; 1049]; [8376; 9599]; [2058; 3539]; [4236; 6133]; [4014; 8006]; [2267; 7096]; [85; 4760]; [4878; 8791]; [3137; 3946]; [3360; 6435]; [2880; 9016]; [10579; 10910]; [6116; 10763]; [1510; 1640]; [525; 8415]; [3783; 7477]; [5768; 10430]; [2471; 10659]; [945; 9940]; [4116; 7128]; [4054; 6250]; [4551; 6302]; [2973; 5393]; [660; 6546]; [5610; 6811]; [5950; 9131]; [620; 731]; [2308; 2909]; [2151; 5177]; [1991; 7928]; [4448; 5773]; [8123; 11354]; [2863; 7857]; [1803; 7877]; [3514; 6097]; [6432; 9255]; [675; 788]; [4317; 10393]; [2727; 7215]; [4750; 6488]; [7960; 10020]; [3383; 5799]; [2483; 7986]; [6275; 7736]; [7646; 11550]; [10313; 10925]; [6951; 10759]; [5679; 6924]; [2224; 9977]; [1730; 6436]; [629; 7209]; [4868; 7648]; [389; 552]; [4489; 4619]; [201; 7671]; [2398; 8063]; [6551; 10236]; [8848; 10832]; [4426; 10686]; [1621; 8371]; [1122; 7492]; [62; 1096]; [285; 6995]; [7623; 9472]; [2828; 4614]; [7652; 8712]; [3419; 10717]; [8493; 9328]; [3505; 10491]; [3608; 7206]; [7596; 11032]; [810; 9068]; [746; 11527]; [5132; 5600]; [4161; 9075]; [644; 4834]; [4661; 9398]; [2787; 4963]; [767; 2955]; [6088; 7105]; [1415; 3176]; [986; 7200]; [296; 6753]; [3844; 3891]; [8415; 9795]; [2785; 7519]; [7355; 7563]; [7492; 10278]; [5403; 10385]; [5140; 11503]; [1814; 10994]; [2437; 3803]; [1630; 2017]; [10030; 10936]; [379; 2442]; [7537; 9647]; [5381; 8532]; [3230; 7761]; [1211; 8607]; [4382; 9959]; [3298; 5421]; [7549; 9657]; [393; 8914]; [1955; 9290]; [9049; 9155]; [1322; 2961]; [353; 3099]; [4750; 11294]; [1548; 2715]; [4929; 7095]; [7267; 7692]; [2126; 4449]; [4679; 6166]; [324; 7996]; [5525; 7880]; [385; 2987]; [414; 3725]; [3547; 8757]; [1964; 6750]; [3400; 8707]; [2025; 10409]; [1491; 3305]; [7437; 8261]; [9066; 10613]; [4117; 10950]; [1022; 1514]; [2422; 10984]; [4920; 8830]; [6995; 10545]; [6496; 7414]; [3817; 6524]; [5816; 6901]; [235; 1134]; [2397; 6201]; [7089; 7928]; [1141; 7063]; [9893; 10018]; [5373; 6331]; [2358; 10410]; [3062; 8311]; [3693; 11561]; [7294; 8333]; [1139; 9619]; [3780; 7773]; [5244; 7614]; [1347; 3906]; [7637; 7918]; [3807; 5432]; [4500; 10314]; [4899; 9831]; [1852; 8737]; [7770; 10891]; [7820; 11008]; [1970; 6514]; [4827; 5232]; [8563; 11466]; [8718; 9125]; [2558; 10067]; [5856; 6276]; [2334; 3943]; [1253; 10256]; [8280; 8899]; [563; 3393]; [6318; 10279]; [7966; 10429]; [10987; 11056]; [4416; 10212]; [2513; 9543]; [3359; 8251]; [6122; 10340]; [5777; 10305]; [4060; 5854]; [1174; 7869]; [2943; 6094]; [2408; 2552]; [1571; 2055]; [6271; 10813]; [1885; 10324]; [2881; 7845]; [5080; 5654]; [4245; 8236]; [7758; 8571]; [9372; 9891]; [1755; 7999]; [7109; 8125]; [3213; 7271]; [5988; 10875]; [8116; 9972]; [7030; 8771]; [1154; 9472]; [1565; 11258]; [3893; 11167]; [27; 1854]; [4109; 5315]; [4720; 7189]; [3482; 8600]; [5189; 5947]; [5168; 11486]; [5778; 8971]; [4405; 5084]; [2949; 9268]; [2825; 7512]; [3754; 10227]; [11061; 11139]; [9194; 10127]; [3590; 9072]; [4304; 7661]; [10035; 10743]; [2597; 3898]; [4283; 6784]; [4272; 8877]; [2654; 7815]; [2747; 4596]; [37; 8557]; [5978; 5999]; [2785; 10715]; [1875; 8050]; [2656; 7861]; [10720; 11196]; [2498; 5023]; [1121; 2892]; [713; 7793]; [341; 5935]; [11211; 11433]; [3611; 7266]; [3829; 8657]; [3820; 4407]; [960; 4637]; [1858; 5787]; [1230; 6218]; [7403; 10399]; [3485; 11476]; [390; 9210]; [1711; 6491]; [4507; 8720]; [4194; 10475]; [6559; 8731]; [642; 9431]; [4121; 4520]; [547; 6161]; [573; 5130]; [5371; 10259]; [3912; 4346]; [7119; 7607]; [1699; 1943]; [9813; 11057]; [4341; 10121]; [11125; 11258]; [2557; 4448]; [4246; 6851]; [471; 4072]; [7134; 11298]; [2657; 11445]; [2939; 10377]; [3464; 6061]; [1899; 5387]; [3394; 4541]; [3767; 9253]; [9894; 10083]; [7224; 10410]; [1118; 1789]; [4566; 8145]; [6131; 8038]; [1182; 2713]; [1830; 7852]; [1226; 2261]; [7154; 11519]; [1351; 6871]; [1413; 8503]; [179; 7404]; [881; 4478]; [74; 2692]; [705; 6696]; [2532; 8309]; [1544; 4233]; [16; 9103]; [10752; 11403]; [10310; 11058]; [3746; 7975]; [6268; 10379]; [4401; 9367]; [7945; 9015]; [1027; 1270]; [1666; 8545]; [85; 6614]; [5162; 10404]; [2927; 5024]; [5167; 8496]; [7596; 11463]; [1024; 1349]; [4199; 5826]; [9450; 11489]; [1769; 5640]; [1392; 3438]; [6653; 9789]; [459; 5485]; [803; 9459]; [2252; 8268]; [1290; 5413]; [10701; 11414]; [2329; 10178]; [1384; 8458]; [988; 8458]; [322; 1989]; [7197; 7408]; [2000; 3479]; [2848; 5266]; [6327; 6771]; [822; 9859]; [158; 10633]; [3332; 11502]; [435; 553]; [2083; 2201]; [4333; 7115]; [4952; 9604]; [3553; 10158]; [7; 7431]; [1216; 10163]; [2202; 7750]; [7912; 9201]; [4008; 4322]; [8063; 9370]; [3292; 9070]; [5692; 6381]; [6380; 10919]; [5511; 8255]; [4542; 8393]; [707; 4809]; [6097; 7598]; [8273; 10119]; [2889; 11282]; [6714; 7008]; [5430; 5822]; [2350; 3834]; [4215; 8937]; [1821; 10660]; [2855; 8665]; [1974; 10902]; [8328; 10957]; [2380; 5928]; [7424; 11490]; [7675; 8857]; [6641; 8600]; [1221; 9352]; [6088; 10114]; [1064; 5204]; [873; 2226]; [214; 338]; [8606; 9366]; [2366; 4717]; [2345; 3840]; [7869; 8349]; [10279; 11266]; [9219; 11286]; [2184; 2202]; [498; 3480]; [2837; 7685]; [2575; 5241]; [3633; 4394]; [4968; 5545]; [1674; 10209]; [1426; 10107]; [1667; 6786]; [2797; 7505]; [1763; 6494]; [866; 8952]; [4937; 7363]; [4069; 8307]; [1046; 7607]; [6991; 8174]; [2409; 10025]; [2223; 11555]; [1970; 6945]; [2992; 9851]; [4122; 10570]; [6615; 8826]; [7195; 11387]; [2154; 8752]; [6986; 10459]; [5575; 10252]; [3489; 7624]; [1873; 10395]; [2991; 7347]; [3915; 9718]; [4083; 5330]; [4191; 8081]; [6159; 9899]; [5655; 8676]; [5257; 11259]; [4161; 10124]; [6492; 9550]; [6934; 10649]; [5026; 8882]; [1380; 2541]; [1957; 8938]; [6769; 11521]; [2003; 11565]; [6483; 8683]; [2969; 10375]; [9378; 10137]; [9815; 10892]; [1593; 3938]; [2964; 6998]; [5288; 10171]; [4668; 10463]; [819; 3763]; [4735; 5269]; [3214; 4894]; [3274; 11361]; [4478; 8087]; [3741; 7040]; [274; 2916]; [2083; 9585]; [4289; 4401]; [264; 11273]; [1523; 8430]; [7891; 8191]; [6332; 10742]; [7744; 8895]; [4805; 6388]; [1138; 11248]; [1973; 2250]; [3170; 4191]; [7671; 9356]; [6616; 7468]; [2409; 11448]; [6614; 6641]; [845; 1577]; [5653; 11558]; [1747; 10016]; [1621; 10843]; [4709; 6276]; [4113; 4710]; [5479; 8180]; [6074; 9521]; [2795; 4694]; [7538; 10116]; [752; 982]; [222; 9118]; [6971; 11200]; [5011; 9997]; [9307; 10970]; [1808; 6855]; [1668; 10258]; [4125; 8857]; [3467; 10577]; [681; 2620]; [8819; 9876]; [8007; 8500]; [4584; 9556]; [3147; 8128]; [2746; 7030]; [2689; 6496]; [4337; 6646]; [8659; 9594]; [1467; 6188]; [8760; 9646]; [10718; 10776]; [5171; 10255]; [4015; 4151]; [165; 10812]; [7572; 8922]; [10777; 11356]; [593; 8815]; [9842; 10324]; [7032; 10671]; [3789; 5501]; [6013; 11446]; [9557; 11094]; [3885; 8592]; [521; 1183]; [1202; 3796]; [8048; 10729]; [10983; 11582]; [6186; 10061]; [3314; 8776]; [2192; 7918]; [2311; 3668]; [6644; 10158]; [6422; 11277]; [5653; 6565]; [137; 1193]; [8321; 8794]; [3682; 10865]; [7362; 9620]; [700; 2996]; [2904; 7565]; [8783; 10545]; [992; 2646]; [9035; 11520]; [2428; 4603]; [1494; 7179]; [11177; 11424]; [1893; 10860]; [8219; 11119]; [4941; 6894]; [8557; 11114]; [2943; 9371]; [9708; 10458]; [3354; 3987]; [10645; 10782]; [8103; 9631]; [954; 3643]; [4500; 6370]; [3073; 11292]; [5124; 8449]; [2502; 8093]; [4307; 5975]; [5931; 7983]; [571; 9540]; [5500; 11180]; [1375; 8022]; [6175; 7562]; [633; 7385]; [3584; 6519]; [595; 11065]; [1380; 2704]; [2902; 5933]; [5225; 5498]; [1369; 4043]; [3373; 5518]; [6630; 8142]; [2435; 7221]; [2280; 10316]; [1093; 1893]; [594; 5178]; [1285; 8479]; [6755; 7090]; [4392; 8126]; [777; 9766]; [443; 4228]; [3048; 9141]; [398; 10901]; [188; 2955]; [6566; 7568]; [5568; 9220]; [366; 11363]; [5970; 6756]; [1572; 11168]; [4882; 11144]; [175; 1969]; [2260; 8536]; [4660; 5847]; [1544; 2704]; [1244; 8828]; [7994; 8883]; [6249; 8800]; [8140; 8708]; [1638; 6503]; [4217; 5277]; [815; 5712]; [9727; 10834]; [2909; 9332]; [2062; 11153]; [3655; 10842]; [386; 6703]; [8099; 8303]; [1435; 8022]; [621; 5065]; [2938; 11201]; [2690; 7689]; [4077; 9030]; [6128; 6187]; [1845; 9583]; [3402; 9615]; [629; 3428]; [5131; 10693]; [347; 9377]; [2589; 3850]; [1118; 2838]; [3822; 5478]; [360; 944]; [1792; 8417]; [6067; 8513]; [1358; 9091]; [7397; 10074]; [6712; 9971]; [5148; 8014]; [7775; 9468]; [2474; 5216]; [3651; 5781]; [2745; 3989]; [6418; 8743]; [1714; 3249]; [3523; 9918]; [3554; 5067]; [5042; 7968]; [5858; 10217]; [965; 4070]; [4304; 7450]; [5914; 11280]; [5236; 8184]; [10110; 10891]; [4580; 6567]; [1118; 2033]; [3258; 8307]; [10234; 10368]; [681; 4661]; [3040; 6135]; [9356; 9870]; [4464; 7331]; [4161; 7522]; [3250; 11048]; [1875; 6334]; [7293; 8165]; [543; 8110]; [416; 421]; [1318; 8106]; [3868; 6896]; [5586; 7785]; [11145; 11349]; [4428; 5018]; [7822; 10357]; [2862; 7152]; [2423; 10488]; [7624; 10372]; [5208; 8364]; [5067; 8159]; [4170; 10617]; [3105; 3877]; [250; 5205]; [2228; 6987]; [2257; 5473]; [5288; 10952]; [4844; 9026]; [2356; 9616]; [953; 6264]; [1980; 6104]; [6357; 6507]; [4252; 6081]; [955; 6310]; [5375; 5629]; [754; 1890]; [1279; 1711]; [2029; 2963]; [1375; 1419]; [1311; 6130]; [726; 3225]; [1940; 7055]; [1245; 2100]; [5176; 8802]; [2836; 7378]; [167; 11340]; [3982; 6378]; [1401; 6023]; [2089; 10561]; [2493; 11176]; [5695; 6923]; [2677; 6567]; [3477; 4930]; [3167; 10366]; [9428; 9476]; [4261; 9176]; [1766; 10847]; [749; 5279]; [1578; 10796]; [6256; 8653]; [4219; 8950]; [2138; 9672]; [897; 11566]; [708; 2245]; [481; 3020]; [5434; 9218]; [652; 4565]; [5340; 9556]; [4094; 10352]; [1356; 5849]; [8816; 10009]; [5244; 6061]; [4425; 9176]; [1033; 10299]; [5608; 7277]; [4892; 11271]; [8283; 10677]; [7789; 7890]; [2028; 8349]; [8535; 10898]; [4889; 10973]; [5076; 10799]; [6664; 6734]; [5599; 6410]; [4606; 8406]; [7006; 9881]; [654; 4237]; [2548; 3662]; [4196; 10228]; [705; 792]; [1704; 8410]; [8343; 11078]; [7317; 10682]; [2825; 3381]; [1357; 8302]; [1820; 3108]; [4414; 8586]; [5118; 6487]; [9111; 10657]; [921; 8903]; [7335; 9009]; [3754; 9479]; [4499; 7381]; [956; 11341]; [7238; 9076]; [2823; 5937]; [3817; 7549]; [4120; 4352]; [9748; 10719]; [5460; 6601]; [503; 9329]; [852; 10237]; [6883; 10605]; [547; 3185]; [7515; 11047]; [3802; 9146]; [2317; 4264]; [3086; 9730]; [841; 2908]; [5918; 7452]; [2491; 6137]; [1969; 6964]; [1160; 5105]; [5852; 6832]; [27; 3334]; [1176; 8267]; [2647; 3617]; [563; 10484]; [5632; 7997]; [3180; 10496]; [714; 3483]; [24; 9452]; [5077; 6432]; [1237; 3258]; [1023; 11408]; [8029; 9174]; [1088; 9551]; [3452; 11369]; [2263; 2873]; [4847; 6909]; [4496; 5928]; [2543; 5896]; [1075; 8565]; [2262; 3402]; [82; 4145]; [4404; 6339]; [2749; 3520]; [2064; 9079]; [4563; 10533]; [1270; 1836]; [6235; 11077]; [7365; 9544]; [2715; 6538]; [2689; 5317]; [7453; 9364]; [2749; 10286]; [374; 3391]; [804; 2221]; [3186; 9506]; [306; 8360]; [6699; 9841]; [3134; 8592]; [680; 10264]; [1029; 8166]; [2710; 6544]; [3546; 6816]; [2023; 9778]; [1581; 2263]; [5450; 11093]; [3855; 8325]; [1018; 3843]; [2389; 7657]; [1702; 10891]; [1366; 10942]; [984; 7642]; [8200; 9190]; [395; 1585]; [6339; 11376]; [2501; 4865]; [7889; 10991]; [6087; 8122]; [7766; 9837]; [6861; 7516]; [450; 4675]; [3562; 11082]; [7998; 8682]; [4114; 5179]; [4771; 7398]; [2242; 3823]; [5897; 11381]; [187; 2760]; [2186; 10307]; [508; 5030]; [1652; 9619]; [3297; 6088]; [4637; 8337]; [4635; 7510]; [960; 1929]; [9621; 9684]; [3327; 8182]; [495; 4044]; [7616; 7984]; [4849; 11411]; [6781; 11320]; [670; 2355]; [1208; 9578]; [239; 9716]; [7338; 9925]; [4602; 8501]; [3444; 5734]; [1701; 6478]; [1823; 8161]; [3637; 9512]; [6584; 11156]; [1137; 1417]; [1971; 7278]; [3932; 5673]; [8508; 9669]; [8513; 10013]; [1930; 8408]; [5481; 11479]; [3184; 4467]; [753; 1427]; [1849; 3316]; [1033; 3696]; [2717; 5755]; [9413; 11209]; [5014; 6351]; [7247; 9406]; [965; 4501]; [662; 4692]; [2460; 4409]; [619; 1612]; [2862; 5355]; [253; 10122]; [618; 4393]; [7751; 9848]; [8121; 9381]; [2386; 2393]; [5937; 6218]; [8125; 9500]; [8987; 10993]; [243; 6401]; [4045; 6839]; [4191; 5910]; [5166; 9724]; [1892; 5241]; [1383; 7084]; [1111; 4676]; [1167; 5739]; [4840; 9739]; [5093; 7933]; [9790; 10004]; [611; 7736]; [891; 10005]; [6242; 6450]; [3152; 4528]; [975; 8952]; [5997; 6619]; [5710; 7343]; [2664; 11355]; [1508; 5251]; [8626; 9674]; [102; 2382]; [4933; 7651]; [5583; 10951]; [1717; 8808]; [567; 10066]; [1688; 11453]; [6700; 8432]; [7436; 10752]; [5170; 6059]; [2840; 3071]; [3270; 9071]; [9084; 10902]; [3046; 7111]; [3421; 6234]; [458; 5585]; [6461; 11075]; [4977; 9047]; [1090; 6027]; [2139; 11510]; [2421; 10442]; [8515; 11132]; [979; 1500]; [3938; 7665]; [4032; 10710]; [1456; 11453]; [3006; 10314]; [6516; 11132]; [3221; 5772]; [5116; 8051]; [981; 11345]; [3185; 9498]; [6268; 10249]; [2368; 2860]; [715; 3497]; [4887; 9130]; [8588; 9516]; [690; 5130]; [2641; 5089]; [9215; 9614]; [302; 10683]; [2435; 10848]; [935; 4934]; [7399; 10819]; [1220; 7547]; [1497; 10299]; [931; 7444]; [2612; 9986]; [4819; 7656]; [1918; 5633]; [3886; 7451]; [7093; 10712]; [7857; 8664]; [6274; 7411]; [4257; 9084]; [3481; 9617]; [5031; 8478]; [3807; 7343]; [1019; 9893]; [787; 3908]; [2440; 10818]; [982; 10765]; [502; 11094]; [789; 10370]; [2341; 10058]; [8750; 9820]; [9002; 10795]; [2588; 4273]; [973; 9898]; [6441; 11092]; [1054; 2158]; [2999; 8688]; [3296; 6430]; [3521; 4828]; [2415; 8667]; [3597; 9576]; [6227; 9793]; [5873; 9295]; [1634; 1686]; [3507; 6650]; [4904; 8679]; [10461; 10642]; [7343; 10082]; [177; 2235]; [2945; 8078]; [8989; 9405]; [21; 7357]; [2784; 6440]; [2722; 5562]; [2316; 4874]; [3874; 8514]; [5026; 10712]; [8105; 8311]; [3952; 6892]; [935; 9390]; [6356; 10738]; [2829; 5809]; [5979; 8536]; [3952; 10275]; [1751; 9387]; [2933; 10296]; [3334; 4978]; [2926; 9125]; [2095; 2781]; [5013; 5939]; [1680; 10675]; [1613; 3037]; [2459; 10413]; [3020; 6508]; [3206; 5732]; [9897; 10842]; [3911; 6487]; [585; 1814]; [4788; 6760]; [2957; 7657]; [2178; 2257]; [4263; 11076]; [648; 10464]; [3571; 9802]; [2048; 6348]; [6647; 7130]; [2483; 5522]; [1387; 6639]; [7431; 11376]; [4317; 4896]; [2543; 6327]; [1323; 9098]; [146; 8533]; [5285; 10949]; [3729; 7355]; [825; 1651]; [1924; 7221]; [1201; 4382]; [1691; 4017]; [4841; 10908]; [719; 4638]; [8972; 10124]; [7633; 11483]; [6490; 9748]; [2099; 2499]; [2961; 3992]; [4174; 4214]; [2931; 5281]; [42; 1363]; [632; 8776]; [2060; 6708]; [9744; 9822]; [403; 2308]; [3829; 10568]; [7509; 9323]; [1332; 8406]; [9021; 10366]; [10203; 11275]; [4286; 5559]; [6660; 8065]; [2799; 4014]; [1458; 4546]; [1924; 9449]; [4782; 8392]; [869; 10567]; [1020; 8484]; [7355; 11515]; [7449; 11150]; [732; 4819]; [3106; 7325]; [7196; 10704]; [3290; 3470]; [6304; 7090]; [4554; 6663]; [5863; 8845]; [390; 5055]; [1187; 5399]; [4242; 11272]; [3639; 6283]; [1223; 4275]; [1257; 10275]; [254; 4413]; [438; 6974]; [61; 4772]; [6967; 11002]; [9028; 9601]; [3460; 8203]; [4396; 5673]; [7837; 10858]; [4160; 8614]; [6943; 9827]; [4228; 7028]; [1831; 2818]; [55; 7586]; [531; 9767]; [684; 10763]; [5560; 7881]; [2922; 7746]; [4345; 4580]; [1826; 5857]; [45; 6117]; [6650; 9955]; [4411; 6331]; [4688; 4919]; [3535; 8912]; [2127; 5970]; [1005; 5112]; [5544; 6597]; [1044; 11456]; [5179; 5910]; [7109; 10654]; [2806; 8510]; [7549; 10926]; [1844; 2649]; [388; 9839]; [1030; 6862]; [2988; 7992]; [311; 759]; [1539; 2767]; [4106; 4944]; [2116; 10692]; [5103; 5319]; [9899; 11533]; [3216; 7038]; [7123; 10710]; [3823; 11422]; [1464; 9948]; [10961; 11559]; [1233; 7571]; [3380; 10852]; [2542; 9753]; [7310; 7503]; [1911; 3470]; [4311; 4945]; [197; 9116]; [1262; 9440]; [7075; 7636]; [6426; 9442]; [1254; 1628]; [7490; 9541]; [8223; 8934]; [3865; 4077]; [4907; 9113]; [2216; 4456]; [2219; 8137]; [6320; 8642]; [6760; 8914]; [8403; 8720]; [4583; 6922]; [5445; 8415]; [7282; 10716]; [716; 4554]; [1024; 2455]; [1703; 11411]; [5595; 8359]; [5999; 6722]; [6649; 7770]; [6148; 10228]; [1511; 8208]; [4222; 7855]; [8991; 11492]; [6460; 10500]; [5162; 5444]; [545; 8994]; [3401; 11274]; [4648; 6162]; [2029; 10241]; [3495; 4493]; [7380; 10850]; [6865; 8684]; [5145; 10351]; [5735; 11348]; [6506; 7061]; [658; 3394]; [3123; 5264]; [3051; 10114]; [8750; 11406]; [4519; 10828]; [8306; 10234]; [1584; 3559]; [6439; 9222]; [4384; 8159]; [8248; 9475]; [3107; 3980]; [6903; 10265]; [2918; 4458]; [4819; 5054]; [2224; 6521]; [3934; 9801]; [7702; 9157]; [3352; 4161]; [7913; 9377]; [1603; 7342]; [3502; 11275]; [3280; 5978]; [721; 2938]; [5175; 6005]; [27; 5001]; [1622; 2107]; [715; 3123]; [6934; 9177]; [5750; 7441]; [1555; 3514]; [894; 3805]; [6100; 8197]; [62; 10822]; [1775; 11367]; [3702; 10932]; [1209; 6260]; [4963; 9690]; [1616; 10556]; [9845; 11514]; [10569; 10791]; [8196; 11139]; [8798; 10241]; [4772; 10095]; [670; 9365]; [2781; 6573]; [1943; 9638]; [3534; 9254]; [1626; 7487]; [3286; 11404]; [602; 3754]; [2195; 10613]; [2026; 4196]; [9653; 10940]; [4431; 6769]; [4369; 10055]; [413; 10648]; [4520; 9470]; [3453; 9073]; [6915; 9820]; [4257; 7555]; [6380; 7032]; [10428; 10909]; [5442; 8735]; [2233; 8811]; [2231; 5732]; [4445; 10989]; [6964; 9712]; [2578; 2807]; [1215; 6024]; [4723; 6015]; [6307; 8624]; [2850; 10850]; [4565; 8058]; [2758; 11261]; [3839; 5702]; [2011; 10280]; [4158; 7145]; [1854; 6132]; [9402; 10139]; [262; 7045]; [3370; 9546]; [908; 4187]; [4985; 7304]; [6177; 8901]; [6757; 11462]; [4138; 8371]; [4790; 6082]; [4079; 4758]; [244; 1928]; [1651; 5399]; [806; 9545]; [4383; 5169]; [436; 2098]; [3357; 4773]; [9177; 11310]; [7437; 11571]; [3535; 6765]; [7738; 8301]; [208; 2621]; [882; 1811]; [1131; 4767]; [138; 10146]; [11375; 11496]; [107; 8581]; [7227; 9667]; [6232; 8584]; [5012; 11355]; [1221; 8043]; [2362; 2535]; [7881; 11588]; [3583; 9788]; [2280; 10804]; [1368; 11476]; [5886; 11330]; [4986; 9353]; [3321; 5092]; [2452; 8844]; [678; 3859]; [3455; 8290]; [3572; 8875]; [1522; 8910]; [751; 2617]; [6535; 8743]; [683; 7586]; [743; 1975]; [6716; 8000]; [821; 6769]; [1543; 2967]; [1921; 8777]; [10071; 11132]; [4472; 10421]; [2962; 3819]; [5451; 10247]; [6120; 10571]; [4649; 9559]; [4124; 6705]; [3157; 3506]; [2723; 7186]; [3334; 9060]; [2530; 6791]; [8846; 10526]; [6636; 8394]; [1280; 4435]; [3456; 6956]; [8158; 9371]; [1938; 6098]; [8619; 10520]; [7528; 8975]; [7; 7545]; [2834; 4169]; [6727; 11141]; [1402; 3085]; [1; 6976]; [868; 8813]; [1794; 5595]; [2805; 9066]; [6599; 9643]; [998; 1689]; [4943; 8851]; [853; 4748]; [2749; 5000]; [923; 6241]; [2444; 10780]; [7361; 10905]; [2225; 11416]; [1569; 9799]; [2104; 6925]; [1949; 10020]; [5837; 9478]; [1047; 4964]; [10092; 11204]; [2010; 11427]; [202; 442]; [1936; 8280]; [6011; 8318]; [1095; 11047]; [1434; 10513]; [369; 4527]; [7719; 8519]; [2058; 6930]; [2736; 3610]; [5304; 9365]; [2902; 11227]; [872; 8531]; [65; 6745]; [1997; 6654]; [6004; 10530]; [2733; 9728]; [2865; 5683]; [96; 5277]; [750; 4569]; [1185; 3743]; [3442; 4940]; [1976; 4272]; [5506; 7220]; [647; 6319]; [3133; 7568]; [9359; 9875]; [887; 9189]; [3437; 3815]; [2540; 9683]; [577; 8963]; [2165; 4144]; [3378; 6618]; [4938; 11085]; [4305; 7008]; [2689; 9025]; [449; 3301]; [631; 4281]; [944; 9696]; [2656; 6633]; [1823; 4380]; [890; 6427]; [4458; 10633]; [1225; 6151]; [561; 6925]; [3682; 4750]; [1906; 9518]; [10968; 11201]; [5584; 8200]; [8440; 9726]; [5386; 7461]; [1864; 9292]; [4928; 6583]; [6163; 10536]; [559; 9481]; [6254; 9900]; [5256; 11552]; [2706; 6346]; [3105; 10781]; [4008; 5859]; [3414; 11536]; [6313; 10480]; [2762; 7409]; [129; 6864]; [6743; 10064]; [298; 1977]; [2548; 2727]; [278; 10370]; [1305; 7958]; [2764; 7455]; [831; 8075]; [4033; 10992]; [7489; 8541]; [6416; 7575]; [3518; 5069]; [8352; 9855]; [4395; 6096]; [3716; 9191]; [1100; 9781]; [8502; 10553]; [8603; 10605]; [7619; 9711]; [5019; 5142]; [2356; 2533]; [2589; 11372]; [929; 7455]; [2735; 4781]; [837; 7866]; [1893; 10356]; [6657; 10239]; [1430; 2718]; [8706; 10733]; [8792; 9753]; [2286; 10058]; [7487; 9942]; [2573; 2918]; [6488; 11369]; [4868; 10234]; [3836; 6640]; [6523; 7391]; [983; 1625]; [881; 3600]; [5462; 7940]; [3867; 11588]; [4022; 8493]; [4612; 9490]; [9651; 11298]; [7760; 9138]; [933; 7173]; [946; 11542]; [1242; 7928]; [1710; 3832]; [1969; 5224]; [1742; 1835]; [6279; 6657]; [5203; 6898]; [411; 11383]; [5139; 9357]; [1966; 11342]; [2238; 9586]; [5314; 7668]; [2265; 4993]; [6057; 11159]; [2261; 8257]; [2603; 11404]; [19; 952]; [4139; 6395]; [7893; 9825]; [5904; 7884]; [8607; 9168]; [6585; 10497]; [709; 4782]; [10077; 10709]; [1173; 9612]; [9098; 9405]; [6044; 7140]; [5154; 10015]; [3036; 7472]; [252; 6034]; [4029; 8859]; [4733; 6760]; [106; 10346]; [2338; 5629]; [102; 6440]; [8500; 8897]; [3395; 4557]; [1835; 8391]; [7089; 11319]; [1922; 10265]; [5669; 10996]; [67; 188]; [1529; 10536]; [7274; 10318]; [5168; 7038]; [4416; 11375]; [1051; 1112]; [8803; 9056]; [6086; 8840]; [1757; 5475]; [1884; 6748]; [2856; 4629]; [806; 10326]; [1070; 2293]; [1262; 8879]; [1009; 4269]; [6765; 8347]; [5187; 7438]; [3186; 3228]; [4524; 8814]; [2031; 4142]; [6296; 6556]; [4049; 5323]; [5518; 10426]; [7574; 7927]; [1965; 6528]; [3957; 6488]; [836; 2247]; [2623; 7437]; [4025; 4148]; [9426; 11290]; [379; 4223]; [3265; 7843]; [6216; 6977]; [3881; 10815]; [4610; 10436]; [5503; 11242]; [969; 10855]; [8211; 11372]; [5246; 7644]; [1952; 11554]; [1585; 10040]; [665; 6687]; [2545; 5652]; [7607; 9164]; [2256; 5549]; [4748; 6586]; [2033; 3033]; [6210; 9764]; [6184; 8543]; [10165; 11198]; [9907; 10408]; [2560; 5933]; [2441; 8685]; [447; 1482]; [8638; 10254]; [6269; 8092]; [6416; 10771]; [6364; 10581]; [3336; 8783]; [2059; 11020]; [3389; 6165]; [1967; 11431]; [3418; 4651]; [1439; 3398]; [5102; 6710]; [2154; 11257]; [5253; 6879]; [3119; 7967]; [404; 5168]; [3913; 8013]; [3207; 7033]; [7113; 7851]; [24; 1914]; [1992; 3732]; [3475; 7787]; [550; 7622]; [7773; 10341]; [25; 5522]; [10658; 11107]; [2973; 10020]; [4907; 6592]; [1574; 11328]; [1975; 5256]; [6585; 8082]; [7116; 7718]; [6692; 11362]; [469; 2156]; [8787; 8791]; [788; 10769]; [3207; 5878]; [8411; 9443]; [2403; 8527]; [565; 6001]; [312; 7807]; [2920; 9985]; [5315; 6952]; [6347; 11300]; [10521; 11344]; [1928; 8419]; [892; 7335]; [6991; 8369]; [4881; 7599]; [2197; 6365]; [1832; 4924]; [10070; 10132]; [4163; 5104]; [4627; 9180]; [10535; 11400]; [4683; 10243]; [7360; 10306]; [3248; 4724]; [45; 8752]; [3985; 8400]; [5265; 6434]; [2493; 9517]; [5819; 7774]; [6008; 10679]; [2408; 4683]; [1271; 2793]; [11174; 11508]; [4358; 4417]; [1345; 4405]; [1749; 8430]; [9304; 9444]; [2019; 10011]; [7526; 11133]; [1733; 3763]; [249; 5899]; [3736; 11429]; [1635; 3605]; [8823; 9521]; [2257; 9775]; [139; 4980]; [7986; 9778]; [7671; 10706]; [81; 10637]; [5244; 7785]; [9222; 10923]; [3406; 5259]; [7384; 8397]; [5200; 10896]; [4427; 10946]; [1151; 9800]; [3742; 4427]; [10395; 10965]; [539; 8455]; [4892; 9962]; [9532; 11499]; [2992; 6558]; [1650; 4236]; [3511; 11095]; [5073; 5809]; [4482; 8751]; [334; 3512]; [5313; 8679]; [4936; 8729]; [5341; 9946]; [84; 5966]; [5099; 7380]; [6580; 8356]; [9852; 10514]; [10029; 11150]; [10805; 11371]; [3690; 10629]; [1715; 7640]; [5514; 8561]; [667; 3513]; [6916; 7524]; [1816; 8446]; [7232; 9450]; [2280; 6860]; [3962; 5840]; [4012; 5203]; [3611; 4859]; [1840; 9971]; [5066; 10249]; [1045; 8195]; [6461; 9953]; [828; 3996]; [10075; 11094]; [5894; 6873]; [2291; 3612]; [1447; 2698]; [53; 3596]; [10285; 11089]; [3253; 5686]; [6947; 9065]; [2101; 6871]; [3909; 4270]; [196; 3123]; [2496; 7400]; [7067; 11052]; [7951; 8332]; [3770; 11281]; [2896; 8273]; [3892; 5794]; [9869; 10063]; [1811; 4264]; [312; 7620]; [3636; 11466]; [7872; 8978]; [8930; 11541]; [2798; 3951]; [2203; 6774]; [5537; 5646]; [4537; 9881]; [2797; 10896]; [8022; 8922]; [6724; 10282]; [6844; 8886]; [2441; 6538]; [6458; 8850]; [2101; 2683]; [3103; 8320]; [1202; 1308]; [2592; 9336]; [5389; 8003]; [5585; 5663]; [977; 8545]; [3933; 8023]; [2054; 5496]; [132; 4777]; [3050; 7935]; [125; 3606]; [2535; 5769]; [5487; 8511]; [9621; 11408]; [5853; 9800]; [2145; 2581]; [4049; 6104]; [248; 2858]; [4128; 4707]; [6717; 9087]; [468; 912]; [1734; 10594]; [3671; 6683]; [6410; 7624]; [3480; 7115]; [2179; 11210]; [5436; 7418]; [4947; 11391]; [5317; 10170]; [238; 635]; [3257; 11015]; [9106; 9622]; [5240; 6725]; [4904; 10940]; [2099; 5215]; [5550; 11088]; [7756; 10068]; [1037; 9326]; [1539; 10476]; [813; 9618]; [4746; 7321]; [2833; 5210]; [11086; 11450]; [1258; 7982]; [876; 7688]; [1992; 10229]; [4120; 7044]; [907; 10384]; [7379; 9714]; [6011; 10335]; [3416; 7638]; [734; 815]; [2829; 8070]; [4603; 6639]; [828; 11030]; [3145; 6586]; [1134; 1688]; [2793; 5380]; [2147; 10867]; [24; 5728]; [5831; 7142]; [2567; 3347]; [730; 10091]; [3412; 4836]; [3959; 4251]; [5886; 10232]; [378; 9639]; [5832; 6963]; [2652; 8531]; [8374; 10773]; [2361; 5349]; [934; 10271]; [4729; 8040]; [5224; 8019]; [957; 8942]; [1127; 7633]; [2517; 9245]; [8556; 9474]; [6632; 7928]; [4287; 10324]; [1088; 11088]; [6251; 8236]; [2266; 2429]; [3217; 6623]; [4712; 5777]; [2075; 8496]; [5313; 11070]; [3816; 11089]; [1612; 7274]; [7923; 9911]; [1699; 9148]; [6140; 7092]; [7767; 8617]; [5021; 10669]; [8104; 11420]; [9188; 9542]; [5337; 8431]; [8907; 10054]; [2152; 7403]; [409; 3983]; [1684; 5083]; [1505; 2866]; [7067; 10865]; [2829; 6110]; [1034; 7418]; [6107; 11466]; [4823; 6116]; [4876; 9914]; [146; 5451]; [1403; 5191]; [240; 8496]; [3663; 5905]; [1263; 2178]; [8738; 11534]; [3946; 6193]; [5467; 6568]; [7418; 10691]; [86; 11412]; [8851; 8967]; [4527; 5192]; [3002; 7327]; [2281; 5315]; [1596; 5212]; [8282; 9978]; [7313; 10116]; [10776; 11088]; [10096; 11329]; [633; 2132]; [879; 5571]; [3206; 8261]; [2860; 6870]; [4957; 11542]; [2741; 9622]; [1992; 7814]; [4098; 8842]; [1116; 1727]; [2915; 4298]; [3006; 3662]; [7061; 8710]; [1178; 8240]; [1677; 9873]; [6873; 9413]; [2262; 6362]; [1149; 6721]; [2701; 6409]; [2381; 4741]; [292; 7100]; [3928; 9720]; [6899; 10984]; [1042; 9483]; [5467; 9146]; [422; 3359]; [2466; 9925]; [3624; 6276]; [1602; 7605]; [6828; 9239]; [7757; 9702]; [10017; 10416]; [3176; 8745]; [3945; 7795]; [457; 8456]; [4732; 5142]; [4727; 8181]; [5563; 8453]; [8015; 10118]; [9822; 10298]; [3026; 7646]; [4466; 7093]; [1293; 9078]; [797; 11126]; [1320; 6737]; [1222; 10366]; [1351; 6050]; [2722; 9864]; [7453; 11519]; [2835; 7297]; [32; 1645]; [2833; 4218]; [6666; 10385]; [1413; 11065]; [6473; 6580]; [2865; 2975]; [4444; 10902]; [4019; 6000]; [1059; 9032]; [6656; 8916]; [4615; 6031]; [2990; 4552]; [1395; 8200]; [5435; 5800]; [4008; 10722]; [3538; 6077]; [7312; 10883]; [4442; 10425]; [4354; 8326]; [1582; 11409]; [1295; 1553]; [7076; 7408]; [3194; 4732]; [2783; 3700]; [6554; 8989]; [1038; 3617]; [5864; 8542]; [4217; 4830]; [2381; 9547]; [2417; 5040]; [7704; 11114]; [1499; 8149]; [3531; 5256]; [4212; 7869]; [4859; 5236]; [8464; 8543]; [1222; 6528]; [5327; 10939]; [2839; 7365]; [4303; 11370]; [4353; 10733]; [5445; 8716]; [3117; 6555]; [4951; 5175]; [5198; 5806]; [1336; 10198]; [183; 7775]; [7459; 9374]; [6771; 9754]; [4661; 4820]; [4778; 5405]; [1693; 7991]; [5407; 6330]; [2312; 3310]; [3843; 8537]; [2124; 4013]; [4462; 4610]; [1144; 10378]; [5215; 9543]; [4809; 8101]; [3180; 9886]; [6051; 6782]; [411; 3064]; [2995; 7100]; [7848; 9684]; [3361; 4979]; [3298; 10292]; [4014; 4046]; [906; 6426]; [3862; 6658]; [868; 10106]; [247; 7544]; [9529; 11445]; [8027; 11120]; [3237; 6606]; [3608; 8239]; [1204; 7022]; [6178; 7681]; [3037; 6171]; [5189; 10550]; [3069; 11344]; [6216; 7384]; [801; 2818]; [3184; 8850]; [4808; 10858]; [5682; 7450]; [1069; 9988]; [2878; 8743]; [7766; 10382]; [787; 8023]; [6425; 8662]; [3930; 9579]; [2368; 2787]; [5050; 7358]; [67; 4701]; [7916; 10326]; [5168; 11551]; [6047; 8487]; [2176; 6000]; [5424; 9262]; [6043; 10997]; [866; 10009]; [2082; 9748]; [2990; 11586]; [719; 10713]; [844; 11159]; [3886; 3995]; [6308; 9201]; [2509; 8280]; [2010; 5149]; [1982; 9517]; [887; 10482]; [5837; 6583]; [4195; 8133]; [919; 9239]; [108; 10717]; [4867; 7250]; [2749; 8871]; [765; 6520]; [4927; 7301]; [1950; 6946]; [100; 9321]; [1043; 1546]; [3845; 6973]; [2785; 7747]; [5959; 8616]; [2394; 7367]; [4541; 10648]; [31; 1987]; [3611; 10714]; [3797; 6932]; [1777; 4924]; [6945; 8832]; [8908; 10306]; [1984; 8408]; [4322; 9005]; [3078; 6464]; [428; 8978]; [206; 10097]; [5806; 7246]; [4469; 5268]; [714; 8029]; [5444; 6076]; [3911; 10602]; [2909; 8348]; [4538; 10700]; [7802; 8079]; [764; 11529]; [2567; 8584]; [5559; 7719]; [1688; 5232]; [1872; 7039]; [3466; 6172]; [4899; 10864]; [5711; 10742]; [1038; 6813]; [5337; 8057]; [2110; 6803]; [2309; 10396]; [1557; 1901]; [6157; 10455]; [8829; 10928]; [5102; 5157]; [688; 9036]; [1454; 8569]; [10302; 11232]; [777; 8327]; [1742; 10699]; [550; 2686]; [10880; 11468]; [1293; 6931]; [6155; 7349]; [2693; 2815]; [4470; 11481]; [2606; 9986]; [4158; 9674]; [3377; 3447]; [956; 1095]; [7645; 9542]; [3629; 10084]; [6575; 8874]; [3309; 8416]; [6295; 9988]; [3714; 9633]; [5923; 8130]; [4742; 10075]; [2966; 8427]; [3828; 9920]; [1901; 2441]; [11176; 11587]; [3366; 11552]; [2396; 2420]; [4073; 7472]; [31; 377]; [1154; 10505]; [6469; 7293]; [4263; 6815]; [247; 7357]; [4688; 5301]; [4421; 8155]; [653; 6547]; [4844; 5814]; [337; 7250]; [4726; 11420]; [9573; 10806]; [6472; 7941]; [297; 3687]; [2762; 10475]; [981; 4319]; [327; 9945]; [4623; 7508]; [6333; 8536]; [7700; 8444]; [3849; 11497]; [2041; 7682]; [5240; 9547]; [4278; 10856]; [1310; 9863]; [1845; 6989]; [3216; 4387]; [1939; 10788]; [1060; 2518]; [411; 8488]; [6725; 11396]; [648; 8431]; [7535; 10447]; [5689; 10312]; [2271; 6050]; [182; 6157]; [10209; 10212]; [7456; 11093]; [806; 1820]; [2230; 8678]; [6774; 10507]; [1022; 6548]; [950; 4982]; [895; 5275]; [1072; 6665]; [213; 4689]; [452; 11121]; [10911; 11423]; [773; 9227]; [1081; 7128]; [3502; 3818]; [3534; 5985]; [5254; 9953]; [1082; 4320]; [1228; 9807]; [15; 7333]; [4115; 4984]; [326; 5505]; [2805; 4829]; [8817; 11536]; [2807; 9039]; [694; 11004]; [682; 9489]; [7882; 10504]; [1301; 4808]; [2173; 11153]; [9423; 11531]; [239; 2503]; [316; 4413]; [2647; 11009]; [2492; 6934]; [313; 10531]; [583; 5696]; [10240; 10972]; [3200; 5708]; [5782; 8917]; [2105; 3263]; [1167; 9130]; [5783; 6109]; [666; 4418]; [4246; 6729]; [6460; 11232]; [1066; 5291]; [1635; 7663]; [1578; 7129]; [3441; 11405]; [6674; 7219]; [793; 3412]; [5547; 6017]; [1844; 4804]; [5332; 7526]; [1034; 3474]; [9781; 10249]; [2212; 6893]; [5722; 7711]; [257; 9444]; [6014; 7331]; [3012; 5256]; [659; 6980]; [2361; 3983]; [8090; 10402]; [1061; 4516]; [2952; 3670]; [7623; 10936]; [2673; 5009]; [7872; 8230]; [62; 5943]; [6378; 9678]; [3291; 6519]; [5228; 6772]; [7962; 8123]; [2102; 2187]; [1107; 3356]; [3476; 10436]; [2670; 11504]; [2004; 11451]; [3874; 10482]; [4846; 7609]; [4434; 8604]; [907; 3675]; [5526; 10751]; [1221; 11190]; [2191; 8244]; [6329; 8631]; [7043; 7974]; [1439; 6919]; [374; 6595]; [5611; 6136]; [5296; 11228]; [6727; 8677]; [4851; 9831]; [3302; 7408]; [6127; 8123]; [4480; 10827]; [5719; 6608]; [4721; 7506]; [1923; 2952]; [2394; 8953]; [1272; 8095]; [589; 4655]; [431; 1063]; [4451; 9308]; [2693; 8239]; [984; 7813]; [5211; 7491]; [5206; 7147]; [5677; 6732]; [567; 2048]; [5668; 8898]; [5585; 7143]; [532; 3747]; [906; 11313]; [2367; 5221]; [158; 1062]; [4464; 9893]; [4832; 7845]; [3065; 4031]; [3841; 4252]; [3056; 6197]; [5785; 6450]; [346; 3742]; [6137; 11039]; [6846; 9284]; [6970; 11013]; [468; 2392]; [1669; 7515]; [1278; 7859]; [3205; 6670]; [5450; 7076]; [9641; 10507]; [1360; 9389]; [8576; 10937]; [4288; 6819]; [4945; 5628]; [5597; 7503]; [5724; 9530]; [4912; 7400]; [1486; 11191]; [335; 9595]; [5932; 9479]; [1517; 4088]; [2886; 7075]; [5028; 10766]; [2967; 6505]; [5341; 9011]; [8851; 9829]; [4594; 8030]; [8114; 9536]; [9915; 9928]; [6924; 7231]; [1095; 1362]; [2815; 5330]; [1588; 11094]; [6640; 10855]; [7070; 10439]; [7570; 8510]; [3888; 8174]; [9017; 10656]; [1919; 6885]; [4730; 10146]; [3259; 9134]; [1206; 11150]; [7441; 9793]; [5903; 6805]; [2782; 3318]; [180; 4338]; [6594; 10860]; [3540; 8595]; [708; 4457]; [2565; 4781]; [4878; 9263]; [1447; 11212]; [8862; 9937]; [3372; 3534]; [6706; 8068]; [1312; 2127]; [2497; 2553]; [6619; 9577]; [769; 5083]; [788; 2881]; [7692; 9038]; [5115; 9556]; [7575; 11082]; [7945; 9861]; [65; 2671]; [1257; 5022]; [347; 1603]; [818; 1188]; [1771; 9215]; [1843; 8529]; [2840; 9658]; [5347; 11030]; [1395; 3451]; [187; 1321]; [2797; 6578]; [1047; 6151]; [2454; 9622]; [4417; 11096]; [1117; 5392]; [4389; 9048]; [363; 2486]; [2259; 2738]; [1642; 10875]; [615; 7625]; [7547; 8660]; [455; 8841]; [359; 2717]; [671; 737]; [1135; 5567]; [252; 11141]; [9474; 10827]; [1993; 10701]; [3820; 8904]; [1091; 6399]; [2356; 2647]; [8829; 9749]; [5315; 11441]; [5375; 11492]; [497; 11295]; [339; 7703]; [2419; 9762]; [931; 1199]; [10414; 11048]; [3031; 4664]; [1482; 2241]; [1228; 10238]; [2780; 10680]; [2631; 10557]; [2215; 8427]; [3281; 5189]; [3393; 5430]; [2554; 11276]; [3552; 3962]; [5233; 11385]; [177; 2056]; [7905; 11104]; [1957; 10239]; [364; 8298]; [837; 3792]; [9527; 10033]; [1951; 10424]; [1051; 2031]; [3077; 7237]; [2237; 9475]; [6375; 10616]; [2206; 7910]; [3505; 10158]; [5060; 9363]; [17; 6655]; [1419; 9782]; [3912; 8038]; [794; 3314]; [2294; 6976]; [4164; 8259]; [1785; 5409]; [6958; 7409]; [2947; 8295]; [705; 8160]; [6729; 7357]; [6176; 8871]; [3872; 5606]; [4023; 5021]; [2622; 5502]; [874; 5902]; [5700; 6663]; [7720; 7917]; [9055; 9822]; [2179; 4932]; [2096; 9593]; [2743; 6960]; [5845; 6263]; [3212; 5718]; [4418; 11185]; [210; 3643]; [9655; 10726]; [3024; 6421]; [3207; 8757]; [769; 4546]; [4511; 9097]; [1925; 4234]; [9479; 11439]; [458; 9757]; [2982; 3162]; [6748; 8107]; [4408; 10847]; [7792; 9082]; [9507; 10454]; [1570; 9146]; [2494; 2849]; [1377; 2335]; [3930; 7058]; [3436; 10687]; [9907; 11327]; [4499; 7178]; [2402; 3260]; [1624; 2966]; [2506; 9999]; [3683; 10564]; [3547; 5041]; [8245; 9966]; [836; 8777]; [4884; 6238]; [1558; 1565]; [2203; 8685]; [1432; 9562]; [594; 6211]; [5535; 10894]; [1620; 5826]; [116; 8838]; [840; 8869]; [5353; 8379]; [4109; 6592]; [298; 8320]; [2892; 6628]; [385; 10948]; [10393; 10789]; [4815; 10955]; [7093; 11501]; [82; 559]; [1766; 9034]; [3065; 10528]; [4092; 8116]; [1905; 4682]; [5065; 8097]; [2322; 9666]; [1011; 6657]; [5770; 9606]; [450; 1894]; [381; 10425]; [6301; 9242]; [2369; 6479]; [5794; 11131]; [8471; 11194]; [8631; 9197]; [6948; 9992]; [355; 2007]; [5570; 5761]; [8257; 10676]; [1461; 3860]; [9812; 10635]; [4392; 11387]; [600; 5221]; [5877; 9853]; [3494; 3821]; [1708; 3737]; [4767; 4848]; [6971; 8663]; [1057; 8880]; [5162; 6875]; [5193; 6188]; [680; 6678]; [3608; 4108]; [7436; 9931]; [3262; 3471]; [3040; 4590]; [3847; 4124]; [1395; 2459]; [3053; 9713]; [1921; 8167]; [3483; 8543]; [1833; 6068]; [3815; 5340]; [3078; 4293]; [482; 2906]; [3699; 7609]; [3876; 8245]; [3814; 5115]; [202; 10436]; [8421; 10676]; [2659; 9035]; [2540; 11033]; [2471; 8984]; [451; 560]; [1638; 6731]; [9322; 9845]; [6050; 11070]; [3989; 6809]; [6265; 6528]; [4155; 8010]; [165; 1859]; [10125; 11108]; [779; 9666]; [944; 1597]; [4247; 4566]; [1002; 4985]; [1621; 4468]; [2426; 5427]; [4048; 10772]; [3642; 5920]; [523; 2506]; [2241; 9811]; [7189; 9249]; [3708; 6917]; [8035; 10209]; [1330; 6921]; [5226; 11158]; [7246; 9002]; [3794; 10074]; [2739; 10438]; [1232; 9769]; [265; 4318]; [2627; 5309]; [1916; 10401]; [7487; 9064]; [3313; 6768]; [2850; 4792]; [319; 10970]; [4302; 7282]; [6644; 11004]; [10534; 11289]; [2781; 6126]; [1946; 9462]; [3615; 9735]; [1471; 3719]; [6133; 8987]; [3793; 5311]; [8531; 10389]; [7976; 8824]; [3048; 10792]; [3322; 3447]; [2458; 7543]; [4629; 8966]; [6253; 10974]; [2855; 10397]; [1153; 7732]; [436; 2456]; [7031; 10487]; [2642; 6317]; [7862; 10415]; [1422; 2672]; [5090; 7082]; [1609; 8914]; [4971; 9834]; [6989; 11015]; [6120; 8351]; [1512; 11233]; [1072; 5299]; [208; 2979]; [2044; 2426]; [4212; 6584]; [3835; 4382]; [8361; 11267]; [7272; 10549]; [1200; 1512]; [1219; 1562]; [6174; 8587]; [8815; 8993]; [348; 2235]; [538; 1578]; [5200; 11010]; [5360; 9013]; [8942; 11397]; [7049; 11416]; [6165; 7720]; [757; 10741]; [1003; 7010]; [6127; 11400]; [10648; 11525]; [2058; 5865]; [1497; 7518]; [1533; 3011]; [1241; 3391]; [2928; 11383]; [2826; 4690]; [5873; 10702]; [861; 6553]; [121; 2579]; [608; 2697]; [1211; 10315]; [10641; 10704]; [3074; 8175]; [1422; 8283]; [2330; 10875]; [7187; 10195]; [1829; 6163]; [7587; 11068]; [3650; 10213]; [8345; 9205]; [4016; 5840]; [2281; 10609]; [6572; 7828]; [7136; 9856]; [8849; 10401]; [95; 6619]; [3202; 6266]; [9086; 9590]; [6880; 9112]; [6164; 8942]; [192; 3519]; [5696; 7376]; [1271; 1297]; [1460; 3448]; [4668; 10317]; [5382; 8906]; [5129; 8460]; [3263; 11056]; [308; 8016]; [5377; 5529]; [4033; 6544]; [2818; 9659]; [268; 8617]; [9232; 9765]; [7554; 10904]; [8330; 11125]; [806; 5260]; [2793; 4876]; [6965; 11263]; [6482; 7911]; [8849; 9246]; [1760; 7473]; [228; 8437]; [10126; 10392]; [603; 1898]; [783; 6969]; [6230; 9538]; [532; 3186]; [289; 3428]; [9906; 11557]; [2425; 8802]; [8400; 11490]; [5542; 9137]; [2429; 8921]; [1937; 2797]; [6470; 10129]; [3385; 7797]; [4505; 7828]; [6535; 10524]; [437; 5928]; [709; 4172]; [1433; 4203]; [3229; 4251]; [3657; 9424]; [8265; 11423]; [4812; 9641]; [4631; 6597]; [2723; 5584]; [4126; 11565]; [3875; 7782]; [1998; 6082]; [9566; 11465]; [6673; 9303]; [1568; 3465]; [6103; 7460]; [8680; 10325]; [2835; 6175]; [1739; 10702]; [6386; 6994]; [4111; 4467]; [1251; 4697]; [1492; 7792]; [5110; 5669]; [11072; 11158]; [62; 2617]; [2512; 4209]; [5042; 11392]; [1233; 9783]; [5063; 5853]; [4794; 7126]; [584; 5173]; [3598; 8039]; [10354; 11292]; [3077; 6058]; [2726; 11493]; [7953; 10346]; [7395; 11516]; [10257; 10578]; [1350; 4302]; [2628; 5673]; [2717; 10626]; [1155; 3834]; [2881; 8748]; [9027; 9628]; [3239; 6012]; [2585; 7474]; [4796; 6798]; [3619; 6233]; [7977; 8838]; [2590; 5566]; [1034; 9142]; [7591; 11054]; [2520; 10462]; [1431; 5580]; [1049; 3034]; [1741; 9943]; [3800; 4709]; [3234; 6018]; [2389; 10918]; [369; 6658]; [1363; 7516]; [776; 4538]; [2078; 9713]; [175; 9044]; [7088; 10783]; [5741; 7363]; [550; 1751]; [5493; 7261]; [918; 6873]; [4849; 9411]; [4806; 6331]; [6710; 10608]; [232; 6545]; [9689; 11009]; [7860; 9727]; [6359; 6594]; [2178; 3127]; [3055; 9816]; [1002; 5416]; [8834; 9182]; [2084; 9127]; [239; 3178]; [1374; 4241]; [8218; 10347]; [4300; 11424]; [5754; 10577]; [5723; 9012]; [7249; 10485]; [2894; 5145]; [10454; 10667]; [4079; 9735]; [3329; 8483]; [805; 5252]; [8210; 8951]; [8337; 8726]; [4137; 7461]; [4531; 6634]; [5749; 7200]; [4505; 5413]; [4541; 5070]; [2452; 5177]; [8458; 10184]; [705; 11437]; [4247; 10258]; [9161; 10866]; [9314; 11108]; [10809; 11016]; [6695; 8771]; [17; 3866]; [3094; 4802]; [8316; 9727]; [4776; 10198]; [1753; 9498]; [7358; 7745]; [1556; 5951]; [3180; 7959]; [3825; 10915]; [1220; 6002]; [3668; 10931]; [1519; 6069]; [2644; 6444]; [2486; 3606]; [5820; 8140]; [3515; 3519]; [5259; 9793]; [9147; 10005]; [1919; 6942]; [3131; 9945]; [3384; 8139]; [4760; 5881]; [6059; 7375]; [3848; 6553]; [5150; 5312]; [390; 9308]; [610; 946]; [7301; 9466]; [482; 5110]; [6237; 6334]; [6006; 10373]; [6883; 10646]; [751; 3056]; [2529; 8914]; [5607; 9321]; [5700; 6102]; [443; 2122]; [1300; 7435]; [1189; 10048]; [802; 2994]; [6471; 8608]; [3950; 9058]; [8580; 9153]; [1362; 7532]; [7239; 7433]; [4382; 5682]; [3036; 5870]; [85; 4484]; [2041; 11203]; [6420; 8269]; [7710; 10401]; [5924; 10317]; [1299; 3396]; [2171; 10495]; [917; 7266]; [547; 2071]; [2109; 2447]; [6333; 9024]; [3903; 8838]; [5914; 6596]; [2025; 2749]; [323; 3494]; [6009; 9085]; [4083; 10876]; [6853; 6966]; [2084; 6712]; [749; 2555]; [310; 5891]; [1547; 6507]; [499; 2380]; [4146; 11575]; [4889; 9404]; [5154; 10641]; [8199; 9410]; [6216; 9913]; [3697; 11190]; [459; 2200]; [8831; 9098]; [1818; 8663]; [758; 8683]; [1878; 8714]; [2007; 4398]; [1067; 9438]; [4308; 5867]; [5801; 10610]; [7570; 8835]; [854; 6112]; [749; 1400]; [2834; 3803]; [2586; 10871]; [8496; 9000]; [2630; 10389]; [3862; 4999]; [2523; 3352]; [1370; 3181]; [7779; 9359]; [7321; 8481]; [1748; 6739]; [370; 1754]; [4363; 5924]; [9893; 11002]; [8411; 9801]; [1582; 4757]; [4665; 6262]; [7749; 8369]; [5507; 7480]; [7095; 9077]; [457; 1349]; [1833; 5507]; [3163; 6314]; [3008; 9409]; [117; 10326]; [2507; 11113]; [2237; 3116]; [1141; 8397]; [294; 3048]; [5715; 11566]; [10911; 11106]; [8302; 8703]; [1721; 3761]; [1351; 1976]; [3278; 3793]; [218; 7375]; [5142; 8671]; [6396; 11146]; [7509; 10006]; [30; 1662]; [2394; 3480]; [2586; 10066]; [320; 4619]; [4360; 4471]; [2770; 5457]; [7320; 10484]; [3521; 3901]; [2953; 4383]; [4787; 7167]; [3859; 9558]; [1674; 9957]; [306; 9824]; [3231; 3573]; [3915; 10621]; [5164; 6336]; [3290; 10569]; [573; 4691]; [855; 3623]; [6462; 8359]; [2565; 11067]; [5376; 7912]; [2984; 10462]; [8232; 10192]; [1477; 9793]; [6678; 8923]; [3435; 3753]; [1707; 6283]; [4744; 6689]; [981; 5425]; [795; 6955]; [855; 7006]; [2885; 3286]; [3315; 9286]; [4206; 7013]; [2530; 4815]; [1377; 2392]; [1781; 7171]; [4902; 4996]; [4236; 8353]; [5206; 5407]; [6051; 6896]; [9055; 9074]; [5445; 11058]; [1007; 10379]; [592; 5441]; [5538; 10468]; [2701; 5986]; [4724; 5259]; [1391; 5831]; [2795; 3369]; [5933; 10997]; [6898; 6953]; [3508; 11155]; [4351; 6182]; [1302; 10677]; [1421; 5673]; [3948; 9175]; [2852; 3122]; [1763; 2404]; [142; 667]; [4221; 10273]; [2915; 7608]; [1053; 6940]; [6810; 8237]; [146; 7956]; [1608; 4718]; [1472; 11273]; [942; 8829]; [8595; 10378]; [2311; 3148]; [8728; 9187]; [2708; 6002]; [4050; 4914]; [7826; 10547]; [1821; 9148]; [2900; 6172]; [3028; 11053]; [2651; 8851]; [2114; 8646]; [4612; 7246]; [2246; 4601]; [6595; 9372]; [2548; 4939]; [1959; 4544]; [4696; 9576]; [6375; 11291]; [6521; 10362]; [9537; 10645]; [4403; 5567]; [2474; 2923]; [765; 9667]; [1078; 3748]; [1133; 7619]; [696; 7618]; [7516; 8412]; [2375; 9333]; [1630; 2009]; [4090; 4289]; [1416; 3743]; [723; 2244]; [4797; 11506]; [535; 9363]; [6447; 8319]; [1868; 8189]; [3674; 4761]; [2430; 2974]; [8679; 11149]; [6206; 8607]; [9804; 11524]; [2617; 9216]; [3918; 5121]; [5753; 7349]; [4519; 6250]; [6871; 10717]; [5071; 10927]; [10324; 11001]; [991; 7512]; [4167; 5044]; [208; 6874]; [1853; 2589]; [8673; 10553]; [9485; 10431]; [2021; 4617]; [1615; 3929]; [2326; 5253]; [6628; 10178]; [112; 9795]; [308; 7455]; [1884; 7537]; [1597; 1845]; [2818; 9098]; [168; 10858]; [2876; 6070]; [1795; 5967]; [2416; 8529]; [5339; 5615]; [764; 5227]; [10194; 11278]; [1911; 7081]; [2274; 4689]; [2217; 4155]; [4796; 7847]; [8261; 9646]; [974; 2970]; [103; 5895]; [7036; 11292]; [682; 8985]; [6017; 11313]; [2834; 6194]; [1495; 7553]; [241; 5078]; [2426; 4679]; [1278; 9770]; [3477; 6825]; [8929; 10492]; [2334; 5090]; [3793; 8751]; [6553; 11323]; [2821; 5208]; [2147; 8647]; [1354; 11485]; [4263; 11117]; [2257; 6563]; [8480; 9353]; [639; 8507]; [4216; 10547]; [3564; 6420]; [3971; 10716]; [3694; 5712]; [8945; 11375]; [2324; 11168]; [6894; 7802]; [390; 8934]; [10446; 11475]; [3808; 5999]; [3369; 8581]; [383; 11146]; [1622; 6173]; [1250; 10731]; [4049; 5307]; [6449; 7536]; [2115; 3073]; [411; 2991]; [9461; 9575]; [8026; 11226]; [3052; 4151]; [1403; 10192]; [3793; 4563]; [6903; 10143]; [1143; 2913]; [1154; 10619]; [3764; 9460]; [7520; 9553]; [312; 6368]; [551; 2220]; [6314; 7469]; [8836; 10627]; [4502; 6164]; [7108; 7515]; [5026; 8793]; [3632; 9691]; [1946; 7559]; [3379; 5835]; [1603; 10603]; [8666; 8903]; [6262; 9938]; [393; 1230]; [1785; 3669]; [9069; 9293]; [7634; 10190]; [5449; 10589]; [8480; 8898]; [7477; 10206]; [9; 1240]; [6636; 8809]; [9430; 9457]; [6914; 7999]; [775; 9818]; [95; 3643]; [6432; 8255]; [2426; 3069]; [1674; 1744]; [242; 6322]; [6131; 9990]; [3638; 10236]; [3075; 11062]; [4874; 7217]; [4499; 5088]; [1290; 8170]; [7857; 8518]; [857; 6036]; [4801; 8809]; [2491; 7227]; [4545; 8065]; [3041; 4661]; [4582; 10576]; [7319; 11444]; [3119; 10179]; [248; 451]; [564; 4629]; [5479; 8091]; [5560; 6767]; [2464; 11416]; [3977; 5514]; [4326; 5668]; [6337; 9842]; [5473; 8276]; [6244; 7399]; [4664; 5663]; [1295; 10742]; [173; 7632]; [5406; 9683]; [8051; 10962]; [4433; 6669]; [1604; 8464]; [2628; 6535]; [2416; 8342]; [425; 11236]; [5370; 6993]; [6046; 10016]; [7202; 9704]; [7169; 7312]; [4855; 4857]; [7946; 10387]; [3247; 5237]; [2187; 5257]; [3145; 7212]; [5578; 8046]; [7653; 9761]; [6058; 6993]; [268; 6714]; [873; 5333]; [6256; 10361]; [3391; 11001]; [3006; 4020]; [2667; 4554]; [4380; 11515]; [6522; 8790]; [4440; 10068]; [1546; 5052]; [6391; 9273]; [7024; 9940]; [78; 9973]; [9130; 10968]; [2856; 10842]; [9286; 11481]; [2034; 3860]; [2851; 4082]; [2885; 2912]; [3874; 10596]; [5701; 5793]; [1633; 6145]; [2844; 6294]; [1727; 9944]; [3898; 5705]; [4328; 10951]; [9123; 10147]; [940; 5400]; [4391; 9021]; [4262; 6167]; [6008; 9858]; [3174; 11309]; [404; 2387]; [3239; 9452]; [5916; 10269]; [5167; 5455]; [7725; 10522]; [2696; 5268]; [10605; 10944]; [2608; 3169]; [1608; 10410]; [4442; 8205]; [522; 9209]; [9240; 11082]; [3946; 4591]; [6160; 9848]; [5188; 9715]; [1267; 7865]; [6191; 9161]; [272; 9034]; [5444; 7426]; [10659; 11180]; [1460; 10889]; [2479; 4452]; [8456; 10219]; [5804; 11152]; [4310; 9190]; [4186; 10844]; [2500; 7958]; [6088; 7878]; [2100; 4806]; [3555; 10977]; [3185; 5782]; [4329; 10371]; [1122; 7110]; [4091; 10957]; [44; 10688]; [2814; 6778]; [7287; 9895]; [2125; 9185]; [2741; 11403]; [5504; 7076]; [6166; 9639]; [8717; 11283]; [462; 4970]; [1840; 3539]; [7407; 11128]; [8085; 10060]; [4694; 4992]; [2639; 3929]; [8394; 11569]; [1116; 6891]; [6733; 8181]; [389; 2398]; [5554; 6789]; [1822; 4838]; [4160; 5435]; [2591; 3888]; [10278; 10683]; [2566; 5521]; [1098; 11196]; [850; 11094]; [6020; 9413]; [2372; 7907]; [11501; 11566]; [1690; 5069]; [1248; 4724]; [9157; 10400]; [4802; 11476]; [5862; 11456]; [1595; 8215]; [5015; 6107]; [4958; 9737]; [3583; 11439]; [899; 7953]; [4132; 6019]; [5570; 11055]; [904; 1881]; [2146; 9257]; [4603; 4850]; [926; 5612]; [2; 3241]; [3890; 9115]; [3950; 9920]; [7281; 8521]; [1992; 2374]; [5820; 8197]; [5531; 8094]; [3293; 8078]; [2985; 3761]; [8704; 9492]; [4041; 6251]; [5493; 8741]; [3657; 9294]; [174; 10299]; [7371; 7633]; [4783; 10271]; [5528; 11179]; [2752; 10356]; [49; 9072]; [2571; 11476]; [8447; 10775]; [6246; 10641]; [6084; 6149]; [917; 5095]; [1507; 1928]; [2749; 7806]; [3590; 8422]; [4297; 5840]; [7380; 11509]; [3524; 3638]; [6393; 10287]; [6202; 6555]; [6940; 10456]; [2838; 3310]; [2153; 9623]; [3085; 3187]; [435; 5701]; [775; 8021]; [775; 1605]; [1143; 6727]; [370; 10187]; [124; 6748]; [2473; 7534]; [6619; 8536]; [6092; 9019]; [7587; 8173]; [1728; 6599]; [10198; 10622]; [7046; 11232]; [3254; 5066]; [7698; 8943]; [5673; 6591]; [664; 2713]; [4335; 10804]; [1355; 4516]; [1002; 9124]; [1439; 9879]; [3813; 5969]; [4896; 10282]; [8722; 8862]; [5632; 6940]; [1526; 8720]; [2985; 8217]; [1402; 6964]; [4803; 7058]; [6095; 11545]; [3959; 5390]; [2734; 7817]; [9980; 11459]; [613; 9140]; [1399; 3633]; [1946; 10218]; [1803; 7658]; [1020; 11184]; [2011; 8361]; [2568; 9218]; [2723; 6877]; [2760; 9388]; [10509; 11399]; [4926; 11221]; [938; 979]; [3969; 6458]; [407; 11142]; [4641; 11237]; [69; 8114]; [8348; 9159]; [4402; 8188]; [3117; 4148]; [2222; 2515]; [1494; 5748]; [2640; 4748]; [3240; 8685]; [8534; 8760]; [377; 9398]; [5351; 10057]; [1239; 4475]; [6072; 6407]; [2276; 2751]; [3413; 10333]; [9237; 9442]; [519; 5317]; [9116; 11367]; [10668; 11055]; [1797; 6688]; [3815; 7869]; [5372; 7901]; [6098; 8759]; [3516; 10431]; [648; 11554]; [271; 10850]; [1634; 8387]; [7805; 10987]; [3164; 9979]; [454; 7524]; [2537; 6848]; [3629; 11247]; [5012; 9436]; [4154; 11068]; [3175; 9764]; [5389; 8605]; [1407; 8731]; [1426; 6529]; [440; 3280]; [5608; 7188]; [1243; 7576]; [6693; 8164]; [862; 7884]; [2739; 3168]; [4886; 7203]; [3518; 7070]; [6064; 10622]; [4913; 9026]; [9553; 10563]; [2115; 4472]; [5943; 6131]; [5382; 7784]; [2083; 11350]; [894; 9270]; [2699; 7152]; [271; 10045]; [5028; 6505]; [1827; 10606]; [6987; 10489]; [2376; 7438]; [6059; 10628]; [5839; 6158]; [3433; 6366]; [1346; 7300]; [2127; 7865]; [1435; 6591]; [1660; 2737]; [6582; 9622]; [10990; 11590]; [904; 10338]; [3046; 6859]; [2550; 9661]; [7966; 10665]; [3613; 6152]; [8752; 11574]; [526; 10163]; [4084; 7989]; [3150; 4930]; [2805; 7147]; [5005; 7810]; [2352; 5889]; [7248; 11553]; [6555; 7425]; [2910; 3938]; [239; 4821]; [612; 9533]; [3198; 3816]; [9385; 11113]; [6238; 8657]; [2356; 10145]; [7120; 9274]; [8161; 10732]; [5091; 9432]; [4649; 6835]; [768; 7013]; [4824; 5146]; [510; 2059]; [3056; 3359]; [292; 4051]; [440; 4703]; [10209; 10220]; [121; 1725]; [3985; 7205]; [7596; 11081]; [5480; 7113]; [1959; 7634]; [119; 2029]; [1676; 2815]; [678; 3713]; [3751; 4530]; [1770; 8112]; [2740; 11582]; [329; 9194]; [769; 9466]; [5213; 11091]; [3680; 9201]; [9880; 10287]; [8166; 10271]; [1194; 4919]; [2123; 5382]; [2338; 3092]; [7439; 9942]; [598; 1101]; [5389; 9223]; [3594; 9777]; [6448; 11230]; [6694; 8253]; [9052; 10256]; [4475; 6035]; [4008; 7323]; [1642; 8842]; [5685; 5959]; [807; 5762]; [521; 5176]; [2446; 10330]; [2568; 4843]; [5374; 7760]; [3256; 9381]; [7760; 11057]; [6209; 7807]; [2221; 4735]; [2133; 2636]; [2465; 11511]; [7074; 7319]; [6117; 8972]; [381; 5546]; [71; 402]; [1868; 10474]; [1322; 6743]; [5515; 6837]; [7036; 7966]; [563; 10663]; [7350; 9065]; [8907; 9851]; [2625; 9110]; [2307; 4105]; [1403; 4638]; [5902; 6724]; [5812; 10214]; [3580; 7761]; [2422; 8000]; [2864; 8345]; [3695; 8273]; [10298; 11284]; [2760; 7241]; [6060; 7283]; [6996; 8917]; [4633; 9953]; [493; 8739]; [7771; 11165]; [462; 7174]; [7425; 10528]; [3574; 7165]; [9109; 10335]; [298; 6019]; [1877; 9782]; [1041; 3094]; [264; 9818]; [1728; 10413]; [2124; 3997]; [262; 3329]; [1201; 10896]; [9527; 11033]; [3842; 4886]; [3124; 8807]; [1087; 9104]; [6661; 7284]; [785; 7985]; [6510; 11252]; [5161; 11169]; [2585; 11158]; [4414; 10188]; [1064; 4367]; [6502; 9856]; [4909; 7915]; [4282; 11200]; [4323; 11201]; [1861; 2432]; [6090; 8599]; [4758; 11129]; [1991; 8140]; [1478; 1913]; [424; 10049]; [1270; 11009]; [200; 10341]; [1143; 3320]; [8637; 10474]; [8575; 8842]; [3403; 10450]; [7293; 10735]; [3002; 9352]; [4956; 6576]; [4173; 10102]; [7970; 10196]; [1996; 10362]; [64; 8201]; [2304; 8263]; [4604; 6124]; [5395; 7377]; [278; 5686]; [8070; 10777]; [8686; 8831]; [200; 10691]; [4827; 7859]; [2903; 6313]; [813; 2812]; [3046; 5867]; [5291; 6273]; [4334; 7926]; [717; 6487]; [1025; 4388]; [1625; 8325]; [1300; 6313]; [6002; 8728]; [1437; 9028]; [1394; 5948]; [3071; 11000]; [6247; 7778]; [4509; 9620]; [483; 9474]; [3907; 4856]; [522; 8648]; [1580; 5549]; [1758; 9793]; [6713; 10402]; [1176; 10569]; [4898; 5416]; [1876; 5318]; [2075; 8911]; [5308; 6977]; [7106; 10104]; [881; 6487]; [2006; 11026]; [4717; 9919]; [2088; 2730]; [6291; 7676]; [697; 7309]; [700; 10990]; [46; 6036]; [7329; 8806]; [2907; 8660]; [1376; 7597]; [4737; 8292]; [5533; 11417]; [6004; 11002]; [1424; 3100]; [3072; 9666]; [9426; 9721]; [1310; 6196]; [54; 2894]; [7371; 10910]; [6282; 10192]; [1865; 3974]; [7033; 7882]; [2576; 9435]; [4790; 7522]; [511; 7684]; [5116; 6002]; [2186; 5493]; [909; 7730]; [472; 559]; [6349; 7630]; [437; 1504]; [5268; 6773]; [1350; 2188]; [3364; 5879]; [1898; 5211]; [4633; 9416]; [6795; 8067]; [2231; 4862]; [2112; 3450]; [2922; 8917]; [4231; 8847]; [813; 11001]; [5529; 6706]; [830; 1556]; [8522; 9449]; [4411; 4469]; [1973; 6674]; [985; 9014]; [3633; 4175]; [4844; 9986]; [4410; 7250]; [2075; 10334]; [7519; 7724]; [2132; 4452]; [9356; 10025]; [7112; 9063]; [2496; 5668]; [856; 3127]; [2900; 9693]; [5735; 11096]; [1478; 9297]; [8746; 11035]; [1507; 7783]; [447; 8557]; [2212; 9292]; [8466; 11395]; [5599; 11208]; [1153; 6504]; [9305; 9686]; [6996; 7575]; [6259; 7282]; [1398; 9718]; [3301; 4725]; [1143; 9199]; [5064; 11049]; [4386; 5701]; [1528; 2594]; [298; 4677]; [272; 5708]; [8993; 11262]; [2171; 9641]; [6901; 7688]; [3814; 8693]; [8022; 10573]; [1613; 2143]; [2731; 7763]; [6404; 10265]; [4845; 7154]; [146; 4256]; [4031; 10613]; [710; 6284]; [459; 2501]; [268; 2933]; [3561; 7466]; [2257; 5628]; [2563; 9118]; [2498; 8723]; [5374; 5963]; [5797; 7786]; [5210; 11224]; [5267; 5342]; [5679; 9982]; [194; 10339]; [3621; 5238]; [7509; 11112]; [6286; 7950]; [1282; 4416]; [1562; 6685]; [2969; 3740]; [254; 941]; [3994; 11081]; [8562; 11052]; [5692; 6430]; [2149; 7384]; [1233; 11320]; [3732; 6358]; [10235; 11417]; [5963; 8586]; [1362; 6223]; [1386; 4365]; [1195; 4797]; [4503; 8864]; [2261; 2313]; [3811; 7590]; [5986; 6503]; [982; 10139]; [6708; 9871]; [5643; 9547]; [75; 11155]; [1290; 1624]; [6589; 8459]; [5992; 10455]; [7702; 11483]; [665; 5736]; [200; 9349]; [2874; 9895]; [8013; 8901]; [3405; 10285]; [8221; 9604]; [913; 8467]; [9040; 9872]; [8061; 8568]; [3028; 6548]; [9714; 11314]; [2085; 5655]; [3914; 3931]; [2489; 6270]; [5357; 10065]; [3230; 7436]; [2121; 10947]; [3669; 7483]; [5747; 6463]; [3983; 9336]; [456; 10069]; [5251; 9265]; [4535; 9849]; [6964; 9810]; [9364; 11285]; [44; 5402]; [569; 1086]; [1850; 8390]; [2884; 7149]; [8104; 10493]; [4370; 8469]; [3912; 7591]; [6393; 9994]; [1071; 5619]; [6884; 10231]; [5573; 7222]; [4339; 6123]; [1120; 5511]; [7175; 10380]; [2607; 4023]; [2424; 10732]; [1304; 11455]; [1808; 2098]; [4912; 8644]; [1904; 2560]; [7967; 8101]; [5823; 7747]; [4331; 8864]; [8966; 9303]; [4257; 9881]; [893; 2472]; [953; 6687]; [7747; 9266]; [2202; 3156]; [7492; 7993]; [1950; 7816]; [6564; 8132]; [5633; 11006]; [6275; 8029]; [867; 11050]; [5590; 7926]; [9891; 9997]; [5218; 6068]; [6589; 9882]; [667; 10238]; [894; 2293]; [3261; 8546]; [6150; 6802]; [2654; 2684]; [76; 348]; [3291; 9886]; [3129; 9558]; [1634; 3988]; [2790; 5928]; [629; 4469]; [4302; 6217]; [6203; 6813]; [2438; 11138]; [4140; 8141]; [6980; 9888]; [10149; 10413]; [2471; 10497]; [1814; 6026]; [742; 4531]; [9716; 10531]; [2400; 5369]; [7837; 8004]; [1643; 3700]; [5357; 8455]; [1405; 4286]; [4880; 8301]; [7120; 8363]; [6996; 10771]; [3546; 10004]; [6132; 8451]; [2357; 5672]; [3694; 4240]; [3100; 9917]; [2508; 5841]; [6933; 9668]; [4937; 5802]; [890; 7785]; [2294; 4569]; [711; 9732]; [5377; 6074]; [2008; 11153]; [2010; 5564]; [4778; 7243]; [5022; 7603]; [550; 1678]; [7234; 9781]; [1819; 5215]; [4124; 9836]; [5870; 6357]; [1694; 9650]; [1625; 7601]; [1713; 7448]; [8939; 9684]; [2817; 6946]; [3151; 6068]; [4429; 7439]; [5831; 10566]; [5101; 6556]; [3081; 4548]; [7962; 9180]; [312; 11312]; [7504; 7548]; [6287; 7584]; [6471; 10145]; [9177; 9448]; [7160; 11121]; [390; 3274]; [2014; 4528]; [2490; 10873]; [7115; 7214]; [3417; 11263]; [3761; 4657]; [6749; 8554]; [4636; 10519]; [1424; 6914]; [4712; 8851]; [2442; 6668]; [3688; 8501]; [1694; 5462]; [5465; 10751]; [756; 7165]; [3624; 4544]; [2217; 10872]; [8158; 8314]; [3459; 9580]; [3794; 5894]; [962; 11555]; [5881; 6091]; [4630; 9549]; [524; 11329]; [8898; 9228]; [4657; 4956]; [4130; 8445]; [1076; 5426]; [2084; 5216]; [5590; 8544]; [603; 6899]; [7266; 9961]; [3773; 3862]; [4565; 7969]; [3804; 8810]; [3191; 10273]; [9626; 11256]; [3527; 3806]; [5204; 11110]; [6515; 8457]; [130; 6837]; [1897; 8399]; [3120; 5145]; [8285; 9536]; [7378; 10552]; [991; 5853]; [6942; 11153]; [187; 4338]; [1651; 8343]; [4440; 9401]; [3703; 8354]; [747; 8876]; [9519; 10985]; [3380; 6388]; [4099; 6075]; [2755; 6336]; [370; 3641]; [2326; 10360]; [7584; 10778]; [821; 4102]; [5440; 11178]; [8857; 11051]; [1383; 3051]; [675; 1244]; [3906; 9063]; [695; 8312]; [2751; 5813]; [3496; 10885]; [5674; 10069]; [1324; 11489]; [2780; 5053]; [5366; 5752]; [1530; 9113]; [752; 1649]; [9246; 10984]; [3685; 10757]; [223; 6223]; [4300; 8586]; [8997; 11411]; [459; 1777]; [6313; 6390]; [3290; 5690]; [6180; 6800]; [6494; 8653]; [4369; 6851]; [3878; 9243]; [229; 5637]; [2357; 2452]; [514; 8250]; [6773; 11451]; [1663; 10931]; [7351; 10933]; [640; 7800]; [4810; 6944]; [4488; 10865]; [3672; 4829]; [2596; 11486]; [6538; 7797]; [4984; 11446]; [7596; 10333]; [3988; 6728]; [3045; 5835]; [2893; 7693]; [1181; 10756]; [1952; 9879]; [4441; 10645]; [1770; 7364]; [1828; 11506]; [7769; 8948]; [2798; 7806]; [8266; 9754]; [2356; 5209]; [2442; 6481]; [2414; 4433]; [953; 8273]; [4062; 4583]; [10075; 10761]; [455; 10248]; [10278; 10366]; [260; 7528]; [1910; 3587]; [1029; 5824]; [6507; 8460]; [61; 9570]; [405; 2964]; [2361; 7431]; [5260; 6375]; [6970; 9655]; [2030; 7826]; [776; 5351]; [2309; 7241]; [27; 537]; [4548; 7078]; [2425; 8355]; [5097; 8074]; [7029; 7983]; [3518; 6940]; [3502; 8689]; [1024; 9213]; [6068; 11365]; [1579; 9997]; [5068; 9938]; [6026; 11139]; [4588; 6103]; [1239; 10306]; [2010; 10183]; [1294; 10013]; [1265; 5111]; [6987; 10359]; [1820; 9305]; [7520; 10822]; [5679; 11031]; [2348; 9424]; [1350; 4660]; [3278; 9331]; [2218; 9351]; [8634; 10284]; [6604; 7588]; [5761; 6145]; [6488; 9857]; [11087; 11393]; [476; 7287]; [1004; 7406]; [7879; 7907]; [2148; 5579]; [1907; 2484]; [1561; 1847]; [3391; 10147]; [9029; 10032]; [5719; 10056]; [6873; 8917]; [3490; 7120]; [4858; 5001]; [240; 779]; [1204; 10096]; [2642; 8716]; [2549; 6273]; [703; 6138]; [3349; 6888]; [2055; 5738]; [6337; 8533]; [1486; 5995]; [1114; 10553]; [6324; 7547]; [6766; 8646]; [6122; 10796]; [4429; 10903]; [17; 11445]; [8170; 11065]; [5013; 7167]; [8634; 9479]; [1748; 10317]; [7202; 8395]; [7141; 10371]; [2298; 7751]; [3087; 5925]; [2077; 6062]; [784; 7766]; [5600; 7085]; [6407; 6619]; [6255; 9231]; [7559; 11069]; [5343; 9903]; [6833; 8713]; [5506; 11587]; [17; 3874]; [2702; 8716]; [5408; 7265]; [6991; 9272]; [1227; 3798]; [265; 5107]; [2388; 3830]; [800; 2233]; [3260; 3759]; [517; 5328]; [1943; 6597]; [3775; 11560]; [8544; 8781]; [794; 7299]; [10462; 10512]; [3867; 8116]; [5522; 8683]; [8720; 10700]; [2488; 2906]; [1469; 10097]; [1125; 10287]; [2742; 4708]; [6919; 10685]; [5166; 6577]; [9992; 11502]; [4538; 7008]; [1590; 11555]; [1798; 5842]; [4661; 5129]; [3332; 11340]; [7501; 11040]; [5099; 8738]; [2050; 6063]; [4161; 8189]; [207; 9609]; [5884; 9422]; [520; 5575]; [5771; 10484]; [8758; 10029]; [8388; 10496]; [6235; 8898]; [4179; 4981]; [7950; 10270]; [6671; 9428]; [5081; 7004]; [3682; 8312]; [4776; 6368]; [5920; 10957]; [6445; 7395]; [1899; 5493]; [2406; 6987]; [8092; 9572]; [1157; 7485]; [1188; 7552]; [10830; 11042]; [4759; 4859]; [4136; 5634]; [3045; 4843]; [892; 9661]; [3078; 5700]; [6469; 11522]; [7985; 11553]; [8329; 9111]; [4567; 11455]; [1200; 10945]; [855; 6746]; [8076; 8638]; [1355; 4817]; [358; 9323]; [6788; 9962]; [5076; 5855]; [851; 6223]; [5732; 10855]; [10742; 11171]; [4512; 7210]; [4102; 9032]; [6875; 9557]; [247; 10431]; [10744; 11217]; [1403; 10119]; [968; 4529]; [1061; 6972]; [956; 3014]; [1308; 11013]; [927; 7157]; [5975; 10963]; [76; 2820]; [1447; 6634]; [1163; 6875]; [3100; 7128]; [3630; 3910]; [2907; 8985]; [5457; 7775]; [70; 5257]; [3655; 11322]; [389; 6700]; [2970; 4803]; [4520; 10080]; [7830; 10810]; [6075; 10039]; [598; 1589]; [563; 5540]; [2586; 11229]; [4055; 4998]; [1154; 9391]; [2114; 5003]; [4025; 6287]; [345; 1116]; [4078; 10085]; [2182; 3417]; [2982; 4032]; [4286; 10788]; [7310; 7926]; [5030; 11471]; [4138; 7103]; [769; 5766]; [1726; 1861]; [113; 4149]; [5596; 7129]; [1451; 9735]; [5718; 5806]; [363; 7707]; [361; 11044]; [4932; 10532]; [10283; 11141]; [7024; 8444]; [1759; 11019]; [1004; 5259]; [7736; 10370]; [11158; 11341]; [692; 9868]; [8850; 9832]; [1785; 2791]; [216; 490]; [5542; 5738]; [4138; 5948]; [1894; 9150]; [815; 9120]; [283; 11511]; [1159; 2514]; [896; 3632]; [3545; 8817]; [8464; 9015]; [2177; 2268]; [6414; 9050]; [611; 4402]; [8587; 11300]; [2931; 10055]; [7117; 7480]; [4126; 11199]; [210; 7441]; [3006; 4752]; [2923; 9413]; [8492; 11413]; [8430; 10535]; [1784; 4444]; [9201; 10412]; [8115; 9211]; [735; 8760]; [6521; 9297]; [3025; 5933]; [6610; 8588]; [10968; 11193]; [6926; 10514]; [1221; 2237]; [5835; 9723]; [477; 4937]; [3868; 10759]; [5826; 7725]; [5082; 10425]; [1837; 10844]; [4741; 7880]; [4338; 5955]; [6764; 9405]; [3056; 7848]; [418; 6959]; [1621; 6493]; [6514; 8476]; [4551; 7002]; [399; 8437]; [1959; 8740]; [6005; 9538]; [1184; 3459]; [117; 8724]; [3254; 4830]; [2114; 6776]; [9858; 10695]; [4533; 9055]; [2167; 6410]; [4510; 7351]; [76; 9854]; [5810; 10201]; [9201; 9607]; [5345; 8152]; [5185; 10149]; [5152; 7757]; [1511; 8176]; [444; 11189]; [2970; 5421]; [3532; 6622]; [5823; 6649]; [8197; 9909]; [811; 3254]; [1600; 10096]; [2741; 8752]; [2744; 8269]; [7635; 11337]; [125; 5932]; [316; 2494]; [8255; 10264]; [5165; 8342]; [9430; 10002]; [521; 9315]; [6848; 10176]; [7429; 9929]; [6216; 6701]; [490; 4717]; [2510; 2561]; [335; 642]; [2301; 8049]; [8402; 9910]; [8832; 9494]; [7865; 10459]; [3355; 7460]; [6488; 8328]; [1049; 9784]; [10226; 11225]; [4340; 4822]; [3932; 9723]; [4661; 10098]; [2720; 3687]; [1882; 3342]; [6266; 6414]; [7977; 11050]; [1494; 8895]; [8042; 11445]; [9090; 9910]; [7780; 9755]; [538; 570]; [4354; 11294]; [8303; 9530]; [4941; 8610]; [3929; 6392]; [7597; 7796]; [8631; 8807]; [551; 805]; [10268; 10296]; [3236; 4893]; [963; 9609]; [5603; 11146]; [1618; 11001]; [7867; 8596]; [7994; 8371]; [1433; 4805]; [2830; 7588]; [2486; 7778]; [5715; 8354]; [3044; 5073]; [1007; 1206]; [6151; 11136]; [3195; 5242]; [548; 10683]; [5018; 10119]; [3455; 9518]; [72; 7721]; [1438; 11191]; [3217; 10104]; [2059; 9589]; [624; 8234]; [3239; 7419]; [4868; 9771]; [1585; 7454]; [1373; 3599]; [2149; 3066]; [753; 8055]; [429; 4733]; [401; 9101]; [1619; 10421]; [5961; 7605]; [670; 11211]; [2941; 4170]; [1636; 10775]; [1605; 9210]; [3157; 4734]; [6092; 9751]; [5278; 6794]; [1534; 10498]; [4001; 9031]; [267; 591]; [4064; 11265]; [2445; 3185]; [7952; 10723]; [784; 2049]; [3244; 4329]; [3467; 10228]; [5800; 6317]; [1412; 11417]; [5259; 8622]; [3738; 4083]; [1902; 2384]; [2862; 4412]; [4102; 9463]; [2744; 5854]; [5598; 11471]; [870; 1419]; [3299; 4386]; [3111; 10751]; [1019; 7177]; [3145; 10335]; [122; 6629]; [2023; 7225]; [2135; 7466]; [3694; 4915]; [708; 6726]; [854; 6551]; [1733; 3487]; [6999; 7930]; [3288; 6856]; [1134; 2404]; [139; 7737]; [8258; 10779]; [518; 3569]; [9098; 11170]; [2814; 10356]; [316; 5340]; [2438; 11008]; [7686; 10738]; [440; 11233]; [5636; 10019]; [2300; 4658]; [7198; 11149]; [3110; 10125]; [4822; 7816]; [930; 4452]; [2719; 4053]; [2428; 7287]; [5351; 10789]; [6996; 7258]; [2582; 11137]; [3351; 3771]; [1124; 4668]; [683; 10587]; [4167; 6020]; [890; 1239]; [50; 3477]; [3563; 7976]; [5304; 6405]; [2002; 4038]; [2915; 6974]; [7416; 11385]; [6731; 11282]; [4186; 10584]; [5733; 5764]; [5418; 10856]; [4895; 9583]; [661; 2318]; [4081; 6626]; [760; 2297]; [4932; 7930]; [5978; 9732]; [133; 5582]; [9780; 10170]; [537; 10361]; [2332; 3391]; [7471; 8059]; [850; 8606]; [8253; 9226]; [6097; 10363]; [3731; 5466]; [1484; 4987]; [1021; 3011]; [3024; 7267]; [1949; 6255]; [1553; 6255]; [5159; 6781]; [212; 10197]; [1205; 8955]; [7120; 7428]; [6117; 8736]; [1676; 8540]; [5194; 9219]; [7699; 10518]; [6558; 9610]; [9600; 10360]; [8295; 8297]; [6395; 11309]; [359; 4181]; [2687; 3336]; [1633; 7308]; [8725; 11264]; [6352; 7448]; [5149; 5662]; [4027; 8968]; [1537; 10983]; [4576; 5800]; [1155; 8437]; [1005; 11122]; [2110; 3705]; [6170; 9097]; [6046; 7341]; [4487; 9892]; [2333; 5440]; [1682; 10583]; [5233; 7238]; [4510; 10815]; [957; 4665]; [468; 4474]; [4160; 10436]; [6006; 11325]; [4104; 7094]; [4696; 4754]; [5623; 10806]; [5220; 9635]; [296; 1923]; [1133; 9213]; [3345; 7227]; [319; 594]; [2877; 5661]; [2906; 10563]; [3723; 10785]; [6703; 10657]; [1794; 8141]; [5263; 8958]; [5710; 10401]; [4560; 7495]; [916; 1981]; [4079; 4189]; [5667; 6540]; [1930; 4245]; [5111; 8537]; [3676; 7182]; [37; 4264]; [1083; 5312]; [2120; 10004]; [3393; 3861]; [9313; 9848]; [5201; 8430]; [5237; 10339]; [2310; 9347]; [6259; 7583]; [6531; 11489]; [779; 1868]; [435; 2058]; [2540; 11529]; [1683; 6970]; [7345; 11413]; [6280; 11089]; [6158; 10160]; [9673; 11322]; [2928; 5195]; [7028; 9262]; [8179; 8606]; [578; 831]; [1331; 5764]; [3230; 3281]; [330; 6364]; [9875; 10675]; [2468; 6149]; [942; 5430]; [133; 2817]; [131; 6154]; [4274; 6885]; [2379; 10241]; [1377; 1571]; [250; 7539]; [4613; 10488]; [912; 3686]; [3745; 4262]; [2642; 7618]; [4049; 4673]; [19; 1375]; [7654; 8734]; [434; 3280]; [4632; 8636]; [2139; 3964]; [1865; 11309]; [4246; 4436]; [2850; 8671]; [8636; 11460]; [11313; 11523]; [3539; 9647]; [3912; 8697]; [2812; 9318]; [3495; 9348]; [4892; 11377]; [5778; 9484]; [1695; 3142]; [5857; 8087]; [6144; 11527]; [3840; 9760]; [4960; 9791]; [602; 770]; [5509; 10787]; [2938; 11120]; [5323; 7399]; [4648; 7984]; [6389; 10577]; [811; 2075]; [1409; 10103]; [220; 8023]; [2907; 8774]; [2825; 6520]; [4674; 10336]; [5078; 10951]; [7031; 10983]; [2148; 4026]; [4768; 9971]; [5599; 9899]; [1311; 5781]; [4816; 6255]; [2396; 7511]; [1830; 2404]; [4877; 6881]; [1505; 5273]; [1797; 9811]; [2507; 10910]; [3692; 5674]; [6609; 8607]; [781; 2182]; [3334; 4653]; [7278; 7426]; [1403; 10981]; [5259; 6020]; [2485; 8276]; [6623; 8663]; [8739; 11133]; [4384; 5793]; [950; 3307]; [5750; 9263]; [522; 10185]; [553; 9498]; [608; 3543]; [1865; 9699]; [4692; 7077]; [6995; 10871]; [4153; 6045]; [3010; 11480]; [9316; 9609]; [5773; 10563]; [389; 7562]; [1406; 4462]; [764; 1023]; [2467; 7296]; [944; 6094]; [2007; 2585]; [658; 9672]; [3562; 8960]; [1310; 7383]; [2808; 4556]; [2493; 5484]; [3368; 9094]; [6759; 8500]; [1121; 1445]; [2459; 2867]; [1084; 8733]; [3988; 8021]; [597; 2199]; [968; 4586]; [397; 1387]; [1864; 2657]; [9241; 11478]; [6808; 11021]; [6562; 7582]; [2601; 8585]; [7057; 7561]; [9295; 10960]; [8605; 10513]; [795; 2564]; [2138; 10746]; [4432; 4655]; [920; 7174]; [1174; 4812]; [3739; 10326]; [6951; 7515]; [5774; 6950]; [9303; 11201]; [1845; 7087]; [1274; 3888]; [1769; 8031]; [1273; 10079]; [1433; 8082]; [5440; 9706]; [3984; 9726]; [684; 4022]; [9548; 11382]; [243; 10695]; [1452; 9263]; [2109; 7318]; [985; 10551]; [5242; 5934]; [6186; 8183]; [821; 2980]; [5595; 6961]; [72; 10998]; [9034; 9067]; [6680; 7937]; [2067; 4813]; [6922; 7470]; [5857; 7900]; [910; 11316]; [3747; 7130]; [102; 3643]; [4831; 10887]; [3140; 7657]; [2811; 8879]; [1770; 6697]; [1240; 3499]; [7216; 10549]; [4413; 4897]; [9208; 10509]; [4222; 8335]; [4540; 6924]; [2265; 7807]; [4663; 9209]; [8856; 9303]; [5659; 6730]; [10972; 11019]; [2073; 11020]; [208; 6671]; [698; 6306]; [4777; 9496]; [2160; 7232]; [8825; 11121]; [2533; 5528]; [3011; 8536]; [3247; 4871]; [2072; 5133]; [2228; 5646]; [7632; 11551]; [5865; 7737]; [9882; 10049]; [9809; 10510]; [4587; 10503]; [6294; 7096]; [1215; 4731]; [442; 2529]; [4151; 6940]; [2368; 10537]; [1719; 10091]; [2916; 11308]; [1610; 8643]; [1374; 5892]; [997; 10106]; [4073; 8188]; [6492; 9713]; [236; 10947]; [2359; 9670]; [5568; 7342]; [4501; 6191]; [6216; 7563]; [1264; 4973]; [2886; 5400]; [5682; 7629]; [3908; 9060]; [7772; 10376]; [9947; 10043]; [6495; 10361]; [3821; 9815]; [2809; 6873]; [412; 2663]; [8784; 10315]; [2774; 7818]; [5249; 11130]; [1497; 3639]; [4218; 10390]; [1974; 6422]; [2657; 10616]; [5826; 6977]; [9124; 9602]; [3090; 3301]; [2641; 5195]; [3337; 9594]; [8688; 10203]; [615; 9788]; [6657; 10288]; [4816; 7491]; [7620; 9581]; [6997; 10356]; [2213; 9040]; [8299; 9869]; [2697; 5477]; [2331; 10981]; [5975; 10833]; [6405; 9663]; [6276; 7563]; [8266; 10860]; [1733; 2926]; [5652; 8113]; [3560; 4539]; [5179; 6203]; [1376; 7792]; [2682; 4041]; [981; 10646]; [8164; 9802]; [65; 7412]; [158; 4193]; [5555; 11563]; [3776; 6234]; [311; 4435]; [6824; 10936]; [8347; 9105]; [2358; 8239]; [9742; 11061]; [6380; 10895]; [5005; 9591]; [5497; 7020]; [4993; 5043]; [1949; 3466]; [2594; 10586]; [10128; 10723]; [7342; 9936]; [1110; 9312]; [9136; 9157]; [4838; 11521]; [3475; 7568]; [6959; 7165]; [4299; 10489]; [7203; 9777]; [6055; 7698]; [4123; 6291]; [8231; 10219]; [9000; 9269]; [3771; 7337]; [3334; 5084]; [404; 411]; [1687; 7788]; [973; 2783]; [5329; 10977]; [7373; 11127]; [4824; 7277]; [6446; 7704]; [9333; 11549]; [940; 3774]; [3416; 5833]; [2548; 6777]; [10330; 10426]; [7902; 11067]; [4750; 7513]; [4264; 11003]; [5162; 5737]; [4255; 6753]; [3252; 8061]; [5253; 5855]; [7422; 11369]; [4430; 5064]; [2255; 6151]; [5842; 8879]; [4562; 5183]; [1487; 4293]; [5367; 10306]; [14; 6618]; [4491; 6471]; [2963; 4925]; [1694; 4771]; [4679; 9151]; [8533; 10533]; [4030; 4541]; [8149; 9789]; [654; 9580]; [5695; 11461]; [4663; 7867]; [2550; 3416]; [7837; 8736]; [7654; 9783]; [5264; 5990]; [3149; 7128]; [2325; 4237]; [2046; 4822]; [5934; 10696]; [2429; 7970]; [4886; 6569]; [6739; 9403]; [3229; 6333]; [4934; 9269]; [1885; 7348]; [4997; 7339]; [4532; 8700]; [3107; 4623]; [1949; 8272]; [674; 4920]; [8299; 10837]; [4118; 9622]; [4498; 9089]; [1201; 7066]; [1653; 3965]; [4517; 10270]; [164; 5757]; [100; 4052]; [5671; 9131]; [3269; 4577]; [8370; 11427]; [7310; 11447]; [7027; 8880]; [4480; 7355]; [3291; 5275]; [1806; 4557]; [395; 10766]; [1267; 10695]; [358; 4468]; [1454; 4105]; [172; 5998]; [5345; 10250]; [7986; 8404]; [4689; 8633]; [6960; 7254]; [1826; 2930]; [81; 9263]; [3187; 6056]; [3169; 11112]; [454; 1897]; [4060; 8839]; [7699; 8347]; [2711; 3094]; [3312; 3469]; [537; 619]; [5793; 10790]; [3305; 6462]; [6393; 8311]; [259; 10474]; [192; 9252]; [3112; 6821]; [8103; 9339]; [218; 1805]; [3045; 5599]; [6327; 9943]; [381; 3489]; [4150; 7951]; [447; 7492]; [4852; 5025]; [2553; 8520]; [598; 11071]; [8318; 10432]; [7941; 8230]; [713; 5167]; [2917; 9736]; [708; 4823]; [3569; 7447]; [611; 11306]; [8990; 9549]; [905; 5337]; [2883; 7119]; [5035; 11498]; [2795; 5020]; [5785; 9744]; [88; 8498]; [4653; 8198]; [4606; 9106]; [6502; 8604]; [7897; 10560]; [731; 9129]; [3229; 11139]; [4970; 9568]; [6673; 9425]; [2070; 4737]; [7173; 7496]; [132; 11429]; [4564; 5847]; [2193; 9274]; [5056; 6309]; [393; 3068]; [3371; 10441]; [5767; 11016]; [4886; 6837]; [801; 6461]; [407; 872]; [998; 6975]; [7839; 9400]; [7720; 11398]; [6313; 7927]; [6559; 11366]; [8338; 10279]; [1335; 4116]; [4871; 6155]; [2272; 10856]; [2391; 5852]; [3887; 8614]; [10048; 10526]; [7579; 11166]; [2044; 5744]; [5555; 9416]; [333; 5245]; [4899; 10051]; [5085; 7023]; [3777; 7695]; [3309; 5375]; [5086; 9877]; [1230; 6170]; [1536; 3244]; [3070; 8742]; [1569; 2603]; [4955; 8081]; [2188; 5092]; [7126; 10258]; [4758; 10950]; [95; 1293]; [3825; 6581]; [8646; 10408]; [6794; 10428]; [2121; 6499]; [4481; 11581]; [703; 9285]; [431; 11041]; [1296; 9799]; [5100; 11064]; [6154; 6311]; [3721; 8860]; [5634; 10971]; [8884; 10172]; [802; 6231]; [1762; 8259]; [4434; 7978]; [506; 9121]; [2037; 10184]; [8365; 11270]; [2283; 7207]; [2262; 6330]; [9130; 10578]; [2711; 3712]; [3625; 8748]; [8169; 8325]; [2804; 9538]; [5703; 8482]; [541; 1356]; [5047; 6865]; [8785; 9762]; [2773; 7192]; [1431; 1864]; [2645; 5694]; [5191; 9246]; [6414; 10156]; [5101; 10484]; [9830; 10558]; [4536; 8231]; [1824; 11365]; [2020; 9025]; [6086; 7092]; [3479; 8522]; [3856; 8472]; [1118; 10385]; [1631; 5308]; [3907; 11443]; [3563; 4463]; [211; 4985]; [4437; 7471]; [3503; 10047]; [53; 7028]; [1476; 4616]; [4003; 8118]; [4056; 11162]; [5948; 7508]; [266; 11458]; [605; 4508]; [10715; 11072]; [528; 2598]; [8005; 8617]; [5694; 9843]; [8715; 9716]; [932; 10006]; [10271; 10277]; [7993; 10485]; [4691; 8118]; [6812; 10178]; [4640; 10782]; [681; 5442]; [1431; 4442]; [4717; 5552]; [2286; 2512]; [1587; 4955]; [5592; 5752]; [3902; 9540]; [1023; 6310]; [4476; 6594]; [2760; 11413]; [4713; 5783]; [1822; 10864]; [10817; 11325]; [8907; 9485]; [1687; 10447]; [4703; 8478]; [2934; 10253]; [1843; 2292]; [2242; 8979]; [1989; 8533]; [4550; 10865]; [1496; 2184]; [4233; 8714]; [5516; 10429]; [2085; 5208]; [4351; 6491]; [8516; 8701]; [250; 9369]; [1549; 4447]; [7999; 10626]; [8895; 10949]; [6746; 11005]; [4569; 11265]; [1766; 6367]; [2765; 7569]; [47; 5253]; [6440; 6734]; [1201; 10530]; [4028; 7908]; [4034; 4690]; [6057; 10379]; [290; 1224]; [797; 2718]; [1418; 6034]; [1884; 6773]; [6571; 8156]; [1632; 3519]; [1069; 4345]; [9126; 10673]; [6235; 11590]; [3587; 3597]; [2496; 9222]; [254; 1917]; [3798; 7981]; [3012; 7826]; [1893; 10649]; [114; 5320]; [3448; 4192]; [8934; 10853]; [3724; 8971]; [1427; 1959]; [375; 6758]; [2765; 3381]; [588; 7805]; [2391; 11276]; [2505; 2518]; [1895; 7662]; [698; 1557]; [4247; 7965]; [3096; 6369]; [6832; 8439]; [2474; 3582]; [1655; 7451]; [2470; 6846]; [8977; 9395]; [482; 7005]; [4620; 8146]; [1946; 7600]; [764; 6691]; [4277; 11190]; [574; 9977]; [2752; 9161]; [2490; 4465]; [2751; 8936]; [6437; 8290]; [3730; 9516]; [2424; 6097]; [6190; 11042]; [8994; 10099]; [4849; 8541]; [6468; 10205]; [4417; 6632]; [4248; 10795]; [6144; 11047]; [2603; 8664]; [395; 7359]; [5152; 9481]; [5218; 11232]; [1107; 2088]; [3629; 5246]; [749; 10516]; [1101; 8689]; [3582; 4676]; [3279; 4867]; [5362; 7197]; [754; 7827]; [10334; 11193]; [7842; 10129]; [4239; 6868]; [526; 4967]; [5300; 9702]; [5544; 10062]; [969; 2504]; [6435; 10041]; [2569; 5646]; [707; 4224]; [2110; 4543]; [3075; 6915]; [5367; 7167]; [516; 11045]; [2296; 6396]; [7110; 9806]; [916; 5502]; [730; 2114]; [1607; 8803]; [9446; 9576]; [2536; 10020]; [1440; 3967]; [6794; 10509]; [9781; 10054]; [1190; 3038]; [787; 6031]; [1705; 2171]; [1725; 3547]; [1617; 6488]; [5476; 7460]; [5197; 8045]; [1241; 7140]; [4609; 4842]; [6376; 8656]; [371; 7257]; [5154; 8348]; [2974; 9091]; [2423; 5016]; [8059; 10490]; [2261; 6940]; [7742; 9093]; [6744; 9991]; [6687; 7205]; [2855; 3892]; [577; 8264]; [7015; 8764]; [5996; 8785]; [5213; 5895]; [5993; 8487]; [6; 1278]; [5957; 6578]; [5614; 9622]; [4869; 5304]; [4765; 10616]; [383; 1201]; [3748; 5048]; [4589; 5664]; [8014; 10316]; [4821; 10925]; [4599; 6382]; [37; 3947]; [2827; 7859]; [6352; 9709]; [5719; 9796]; [1889; 6556]; [2618; 6931]; [526; 3357]; [802; 2474]; [1020; 1613]; [3607; 11582]; [25; 2782]; [6363; 9494]; [9720; 10070]; [3107; 10478]; [1975; 8932]; [7833; 11035]; [1097; 2018]; [9200; 10943]; [107; 7695]; [174; 8917]; [6361; 10552]; [1972; 6382]; [3871; 5397]; [1808; 6725]; [4824; 11172]; [1472; 10940]; [326; 6278]; [1126; 3887]; [4450; 8487]; [6442; 8447]; [1220; 3522]; [1024; 3610]; [134; 3075]; [2985; 4257]; [6696; 9495]; [1586; 5565]; [1376; 8199]; [6567; 7395]; [3669; 11305]; [1867; 10688]; [2361; 5561]; [595; 11017]; [3417; 8051]; [8737; 9347]; [1894; 6849]; [4318; 8718]; [1606; 3184]; [3037; 11213]; [3319; 10145]; [1043; 4010]; [8618; 11318]; [3759; 4001]; [3939; 6820]; [4651; 5336]; [14; 1064]; [1104; 8800]; [6109; 11024]; [6290; 7652]; [2351; 4442]; [1162; 6526]; [561; 4616]; [7902; 10774]; [5820; 7888]; [3180; 11090]; [317; 1223]; [64; 777]; [2868; 9283]; [3639; 8406]; [4265; 5650]; [1928; 7907]; [6040; 7073]; [8156; 11041]; [2732; 6389]; [4478; 10080]; [2661; 7677]; [3383; 6881]; [9546; 9620]; [8696; 11170]; [2051; 2995]; [5346; 6103]; [2782; 3473]; [4896; 10778]; [763; 4319]; [3837; 7990]; [191; 8065]; [1044; 10196]; [2040; 5465]; [1854; 9247]; [5555; 6627]; [6539; 9803]; [3645; 4787]; [4419; 8345]; [3154; 5681]; [2615; 4649]; [7941; 9897]; [4758; 11194]; [121; 9174]; [7093; 8110]; [248; 8949]; [9370; 10683]; [7933; 8501]; [3133; 3299]; [1302; 4196]; [5163; 5995]; [2733; 5809]; [362; 9236]; [558; 6896]; [8338; 9718]; [208; 8769]; [3174; 8935]; [3384; 4049]; [803; 3694]; [8483; 10072]; [1858; 8211]; [7517; 9727]; [353; 1953]; [3782; 4095]; [5927; 10713]; [5146; 10902]; [145; 11049]; [7506; 8814]; [629; 1070]; [7484; 10718]; [5834; 7489]; [6667; 8244]; [3088; 9541]; [4745; 6771]; [973; 10679]; [937; 8770]; [2654; 6051]; [63; 1598]; [5515; 8675]; [10064; 10848]; [1744; 3386]; [4737; 6129]; [9243; 10884]; [3520; 8417]; [4855; 10322]; [1807; 11255]; [4296; 5605]; [2976; 4008]; [457; 5285]; [3977; 6791]; [3046; 9665]; [399; 10942]; [5960; 8917]; [1512; 9802]; [4910; 10379]; [3131; 11466]; [1982; 6533]; [4029; 6200]; [338; 7256]; [1329; 8597]; [923; 3745]; [109; 788]; [2249; 7062]; [5562; 11473]; [5676; 6125]; [3403; 6677]; [9571; 9760]; [4867; 10682]; [7365; 8528]; [4898; 5831]; [10130; 11444]; [7542; 9918]; [264; 5240]; [2000; 3325]; [327; 9726]; [6483; 11294]; [1533; 4613]; [2343; 10080]; [2217; 5245]; [5140; 8747]; [7354; 7588]; [4978; 10671]; [5325; 7746]; [3771; 4979]; [992; 11055]; [8963; 11193]; [625; 3125]; [5320; 10785]; [6440; 7783]; [208; 7159]; [302; 10204]; [4495; 11052]; [3502; 6632]; [4066; 8660]; [4596; 4688]; [3813; 4050]; [292; 2319]; [3557; 9722]; [10491; 11584]; [1782; 4512]; [10923; 11214]; [1962; 9583]; [3515; 6463]; [464; 3715]; [863; 7396]; [6152; 7127]; [5074; 6541]; [6251; 10489]; [1858; 8829]; [1347; 10599]; [7207; 9365]; [2004; 2238]; [9419; 11543]; [1919; 10236]; [7881; 8555]; [8670; 8981]; [5031; 10227]; [8544; 10562]; [2477; 8285]; [2183; 7838]; [223; 10045]; [1749; 10764]; [6363; 11080]; [40; 11092]; [4434; 9190]; [2674; 8075]; [1445; 7320]; [2369; 7439]; [8155; 10228]; [3450; 7515]; [4322; 7444]; [590; 5493]; [6094; 9350]; [1904; 8773]; [2372; 10339]; [3265; 4729]; [524; 709]; [4288; 4827]; [3319; 4965]; [2233; 4518]; [2670; 4519]; [2671; 8127]; [975; 4553]; [2442; 11458]; [3034; 9118]; [2168; 5971]; [6509; 6717]; [10158; 11077]; [6665; 7230]; [292; 709]; [1945; 7619]; [3898; 8405]; [1431; 4954]; [5634; 6490]; [940; 8100]; [6043; 10859]; [257; 1654]; [3746; 11017]; [10022; 10435]; [808; 9112]; [133; 9697]; [1062; 10160]; [6058; 8888]; [3857; 8000]; [1646; 9430]; [1465; 10550]; [7721; 10070]; [1367; 7763]; [4142; 11367]; [10176; 11252]; [678; 10170]; [4630; 7923]; [3879; 9452]; [169; 11232]; [2124; 2265]; [7798; 8223]; [7; 6740]; [1003; 8425]; [3372; 4925]; [9197; 11052]; [1884; 5407]; [6020; 9885]; [1039; 8055]; [5478; 11588]; [6455; 9059]; [3432; 8359]; [4894; 11537]; [3277; 5038]; [9061; 11164]; [2580; 2666]; [2082; 8805]; [4444; 7544]; [2047; 9750]; [216; 4231]; [5730; 8776]; [4124; 5095]; [8955; 10364]; [1269; 6423]; [4285; 5952]; [4727; 7051]; [10785; 11494]; [1549; 2276]; [5626; 8803]; [146; 6094]; [6051; 10295]; [5404; 6512]; [3439; 8375]; [858; 8020]; [4186; 9356]; [6608; 8900]; [204; 3066]; [7302; 10220]; [8417; 9907]; [5332; 7575]; [8792; 9030]; [6127; 8977]; [1248; 10807]; [3574; 9889]; [2579; 8806]; [647; 2481]; [3915; 7149]; [6380; 9773]; [1490; 7307]; [2008; 2574]; [5285; 10738]; [5567; 9670]; [7803; 9990]; [6960; 8547]; [826; 5048]; [1359; 5511]; [3069; 8791]; [1326; 9535]; [7303; 8886]; [4526; 5209]; [2196; 8637]; [5305; 9111]; [1568; 2652]; [3927; 4126]; [6519; 8023]; [3341; 10418]; [5012; 5102]; [4323; 7509]; [1876; 3936]; [380; 6809]; [134; 4124]; [3233; 9572]; [6450; 7105]; [430; 510]; [2490; 8710]; [2646; 2807]; [6408; 10262]; [9078; 9908]; [4563; 6565]; [306; 8930]; [1576; 5522]; [3473; 8628]; [1135; 1615]; [1520; 2180]; [4412; 10533]; [4558; 9604]; [2724; 4568]; [1664; 5342]; [387; 6825]; [4279; 4527]; [953; 3264]; [1532; 2190]; [5019; 7720]; [9194; 11372]; [4643; 8372]; [2253; 5333]; [9679; 9909]; [692; 1395]; [9028; 9390]; [6908; 7932]; [3673; 9039]; [6694; 8912]; [4602; 5338]; [684; 753]; [2787; 7899]; [340; 10742]; [3299; 9737]; [6584; 7993]; [5405; 10765]; [21; 7764]; [642; 10326]; [8145; 8898]; [3162; 10405]; [3473; 7823]; [3435; 5087]; [6236; 7660]; [8290; 10750]; [2667; 9645]; [4217; 8506]; [5213; 10945]; [6675; 7707]; [5124; 10873]; [3218; 4271]; [8102; 8420]; [3918; 4682]; [8434; 10879]; [3270; 10096]; [1219; 6523]; [849; 4738]; [8569; 10515]; [6032; 9708]; [3761; 3917]; [6599; 9001]; [2896; 8542]; [2984; 4225]; [2328; 9024]; [3200; 8953]; [774; 6257]; [892; 10450]; [6556; 11556]; [6305; 7773]; [6251; 10920]; [308; 10399]; [2581; 6437]; [681; 2279]; [74; 3587]; [4836; 6807]; [7211; 9915]; [2416; 5057]; [1445; 4368]; [8041; 10372]; [3712; 6253]; [6198; 7502]; [4546; 9862]; [971; 2233]; [1435; 7063]; [6846; 7723]; [10087; 10568]; [2432; 5940]; [7874; 8165]; [3837; 8584]; [3008; 4595]; [98; 5462]; [1128; 8983]; [8922; 10013]; [6069; 11414]; [8080; 11424]; [3794; 8887]; [4157; 6495]; [1731; 3799]; [6247; 9242]; [3467; 6048]; [1481; 9286]; [894; 5554]; [2035; 4210]; [5133; 6747]; [579; 4230]; [6124; 8842]; [5530; 8103]; [2192; 7577]; [1354; 11396]; [6154; 10182]; [817; 7027]; [849; 9194]; [3035; 5987]; [3398; 10765]; [879; 11288]; [533; 4235]; [3767; 5155]; [6939; 10115]; [1738; 3815]; [7871; 10095]; [9027; 9783]; [5042; 10392]; [190; 4246]; [436; 7685]; [780; 1079]; [7338; 10763]; [4418; 6778]; [6220; 10778]; [1953; 8291]; [5254; 10433]; [7181; 9998]; [8635; 9151]; [1916; 8409]; [2876; 10437]; [3693; 10659]; [3996; 4052]; [771; 10011]; [4780; 8298]; [9162; 11297]; [7209; 9013]; [2818; 4016]; [2565; 3570]; [1935; 9590]; [1007; 5565]; [4558; 6384]; [4902; 6948]; [3777; 6573]; [5819; 5896]; [2589; 7347]; [2835; 4370]; [1558; 6607]; [1363; 3133]; [1063; 10011]; [4614; 6666]; [2513; 5258]; [10081; 10641]; [7555; 10747]; [174; 4436]; [8248; 8459]; [3143; 9037]; [7336; 9131]; [8955; 10795]; [1259; 6166]; [5055; 6035]; [6082; 10039]; [2202; 8190]; [3441; 5469]; [5736; 9402]; [5691; 10383]; [920; 2913]; [6962; 9829]; [4682; 11122]; [10628; 11160]; [5; 9703]; [3674; 4135]; [5071; 6918]; [8155; 11277]; [1558; 5802]; [97; 9642]; [775; 8574]; [775; 2158]; [346; 6182]; [4484; 6569]; [4419; 9557]; [10200; 11248]; [5513; 10619]; [5286; 11394]; [4066; 7749]; [327; 4627]; [7902; 11181]; [2601; 9935]; [4067; 4187]; [5992; 9341]; [2759; 4859]; [1797; 6168]; [5372; 7381]; [1416; 2312]; [7274; 10831]; [1207; 8554]; [4185; 5347]; [580; 5423]; [1760; 9669]; [2037; 8257]; [7195; 11477]; [8604; 9359]; [4337; 6118]; [7188; 8054]; [1989; 8216]; [781; 1922]; [7759; 10472]; [4865; 5456]; [3048; 10223]; [7277; 9974]; [1396; 10331]; [4291; 6123]; [4228; 11436]; [364; 3704]; [8085; 11581]; [6460; 10102]; [2485; 11399]; [6267; 10461]; [2765; 7252]; [2946; 3880]; [8233; 9200]; [1514; 8458]; [203; 5449]; [7326; 10216]; [4616; 7761]; [4403; 10097]; [1788; 4496]; [700; 8884]; [10400; 10854]; [1312; 7950]; [1747; 7878]; [4272; 10553]; [3181; 9008]; [1278; 8339]; [7012; 7932]; [8579; 8682]; [6409; 10113]; [7307; 11263]; [1550; 6960]; [1737; 9038]; [3855; 8171]; [2852; 8725]; [990; 8057]; [2286; 3618]; [1335; 9223]; [6428; 11294]; [8329; 11136]; [1170; 10876]; [309; 8073]; [2448; 5831]; [2410; 4593]; [359; 1774]; [3571; 5379]; [4089; 10472]; [7275; 8692]; [7798; 8467]; [19; 2083]; [3338; 5585]; [6326; 10236]; [698; 4623]; [2754; 6288]; [3339; 9193]; [1004; 5861]; [3957; 11457]; [10335; 11152]; [8695; 9365]; [6608; 10299]; [2776; 6986]; [3731; 8670]; [3213; 6987]; [1088; 7437]; [2119; 2515]; [5255; 7064]; [3148; 5811]; [8867; 11542]; [1028; 4353]; [4047; 10569]; [2110; 8064]; [2768; 9727]; [1201; 1837]; [59; 10126]; [1301; 8834]; [8928; 11414]; [4809; 8825]; [5117; 6726]; [2790; 4009]; [2292; 3732]; [2660; 8100]; [1218; 5574]; [4112; 4174]; [1342; 1668]; [980; 6914]; [4218; 5324]; [9603; 11179]; [1198; 8305]; [2409; 7700]; [4357; 7388]; [1776; 7787]; [3235; 7284]; [910; 11056]; [2091; 2695]; [6287; 6470]; [1188; 11000]; [2089; 9415]; [5697; 6604]; [406; 3794]; [4390; 10130]; [3263; 9682]; [5121; 6444]; [2488; 5899]; [2760; 4143]; [1258; 1566]; [1105; 3953]; [8639; 10506]; [1925; 10862]; [24; 3850]; [301; 2438]; [10349; 11534]; [800; 4071]; [614; 7099]; [793; 9316]; [4060; 10376]; [2345; 2588]; [6151; 6932]; [5653; 6655]; [600; 2505]; [861; 11140]; [2971; 5494]; [7693; 9315]; [826; 2259]; [8508; 8710]; [4647; 6911]; [3716; 9785]; [8403; 11168]; [5703; 9401]; [1154; 7228]; [4238; 5171]; [7252; 8791]; [2429; 7547]; [89; 11041]; [9581; 11554]; [3146; 4155]; [7409; 9906]; [4102; 9447]; [215; 6427]; [1175; 8455]; [8490; 9228]; [2133; 3994]; [7963; 10465]; [2817; 3872]; [1176; 8276]; [2888; 5967]; [5868; 10003]; [3251; 10745]; [2167; 6207]; [732; 4852]; [5520; 9293]; [107; 4800]; [3849; 5187]; [878; 4677]; [2326; 3985]; [7269; 9495]; [6584; 9392]; [3160; 7594]; [7239; 10784]; [3614; 5320]; [969; 3260]; [6540; 8339]; [2968; 4391]; [46; 10159]; [3183; 6265]; [1562; 3774]; [251; 765]; [6229; 7888]; [7655; 11409]; [4050; 11485]; [160; 2532]; [6166; 6785]; [4798; 9658]; [8896; 10646]; [3858; 8282]; [7502; 11544]; [2046; 6977]; [8023; 10492]; [493; 7064]; [3473; 11100]; [869; 9795]; [119; 8543]; [1829; 5407]; [1509; 3739]; [1603; 3374]; [4125; 6532]; [8894; 10169]; [8956; 11047]; [8316; 9963]; [1941; 9031]; [5932; 10122]; [5082; 8262]; [7907; 8223]; [2494; 4484]; [6483; 11164]; [3183; 5460]; [3905; 11080]; [4332; 10393]; [3857; 6902]; [1152; 4791]; [4928; 11178]; [3951; 6537]; [4769; 9613]; [1529; 11130]; [1586; 5248]; [5722; 8972]; [5792; 9711]; [2800; 8324]; [123; 1845]; [7932; 10323]; [3078; 9766]; [1053; 8168]; [2166; 10438]; [4470; 5789]; [796; 3816]; [205; 3348]; [3343; 7970]; [896; 10813]; [2634; 3309]; [1574; 4083]; [2919; 5922]; [2064; 7128]; [7079; 10794]; [10289; 11320]; [1217; 2533]; [7130; 10759]; [2997; 4300]; [227; 1794]; [631; 1655]; [4674; 9352]; [2377; 9510]; [7695; 9979]; [1814; 10336]; [905; 10525]; [243; 5710]; [3797; 6046]; [1300; 11054]; [2148; 6425]; [1212; 2539]; [1672; 9879]; [1864; 10049]; [5601; 10092]; [5121; 6257]; [4287; 6031]; [3098; 3951]; [3005; 7924]; [1513; 6035]; [143; 11491]; [790; 8858]; [11032; 11377]; [3067; 5769]; [138; 3950]; [296; 5290]; [1464; 1605]; [2250; 2514]; [2962; 5194]; [1461; 7723]; [4699; 10297]; [4570; 7443]; [5941; 11257]; [7088; 7449]; [8118; 10216]; [5754; 8398]; [7839; 11555]; [1296; 6343]; [7686; 8307]; [3023; 5066]; [4449; 6335]; [3265; 11015]; [493; 7682]; [4851; 10287]; [3879; 6744]; [173; 6014]; [489; 10192]; [1363; 10948]; [4221; 9891]; [6432; 9215]; [2012; 4978]; [2173; 9999]; [9580; 11115]; [179; 3550]; [1910; 4701]; [6591; 6993]; [6708; 7578]; [9020; 9206]; [10; 1297]; [764; 9838]; [829; 7981]; [2902; 8869]; [2532; 7838]; [3330; 5374]; [909; 3022]; [995; 2042]; [2694; 11549]; [4926; 5334]; [7417; 8425]; [6450; 9390]; [3402; 10323]; [7354; 8076]; [840; 10772]; [1246; 2792]; [1870; 11287]; [1555; 9963]; [1553; 3474]; [1403; 6159]; [1750; 10404]; [4760; 10118]; [7216; 8492]; [327; 9059]; [1079; 4722]; [6521; 6947]; [705; 2037]; [4086; 6417]; [761; 8762]; [7977; 10310]; [2277; 2377]; [1380; 11251]; [2789; 4215]; [5080; 11412]; [5169; 9949]; [2779; 6910]; [9460; 11332]; [9585; 10280]; [1376; 4312]; [1441; 4707]; [4452; 11062]; [5980; 6192]; [3084; 4513]; [1672; 10497]; [2210; 11304]; [2177; 8912]; [5317; 10951]; [1081; 9275]; [6998; 9329]; [9463; 11199]; [208; 9875]; [1798; 9266]; [1318; 5431]; [1261; 4897]; [5870; 11285]; [9006; 9418]; [1193; 4204]; [2089; 8691]; [1321; 6833]; [3458; 5262]; [1343; 10564]; [5957; 10880]; [4985; 7337]; [1592; 4852]; [7882; 9618]; [6010; 7508]; [31; 914]; [7322; 7709]; [5357; 6162]; [5360; 9843]; [2743; 3415]; [4489; 6352]; [4047; 6007]; [6347; 10284]; [5410; 6173]; [1015; 3686]; [9043; 11528]; [206; 5991]; [7205; 9002]; [7825; 7929]; [858; 7085]; [3220; 8076]; [7177; 10337]; [288; 1078]; [4116; 6901]; [604; 9420]; [4644; 9272]; [6010; 9736]; [1717; 8280]; [3460; 5284]; [2088; 10667]; [1532; 6248]; [4579; 5090]; [6659; 7149]; [7200; 8227]; [9514; 9958]; [6476; 11579]; [4604; 10223]; [5652; 7934]; [2885; 11361]; [7007; 11215]; [6087; 7862]; [9679; 10934]; [4070; 9535]; [3165; 7214]; [6809; 11230]; [3949; 11460]; [546; 4123]; [1239; 2589]; [2821; 10787]; [1078; 7367]; [3373; 11300]; [1542; 9945]; [1351; 6213]; [2976; 11075]; [2278; 6603]; [3341; 6100]; [5123; 8694]; [238; 6572]; [3707; 7389]; [4832; 7764]; [6846; 9203]; [6328; 8274]; [4142; 10700]; [1835; 3000]; [3519; 5059]; [5755; 7631]; [6073; 10384]; [969; 9652]; [3536; 5413]; [1521; 7913]; [5840; 10563]; [2392; 4207]; [8455; 9748]; [4260; 8827]; [6299; 7879]; [2035; 9073]; [9376; 9569]; [547; 10309]; [1409; 9550]; [10374; 11300]; [942; 4422]; [6079; 6765]; [8561; 8989]; [3450; 5588]; [1927; 8550]; [3159; 8822]; [593; 9499]; [10036; 10150]; [4962; 5877]; [299; 2636]; [6995; 8090]; [4526; 8730]; [3686; 10968]; [769; 11418]; [2909; 11276]; [2847; 7365]; [6548; 7751]; [5858; 6550]; [7718; 11309]; [6761; 8044]; [9624; 11495]; [4337; 6175]; [8913; 10171]; [312; 9637]; [5329; 6960]; [747; 2395]; [3794; 8407]; [284; 1173]; [1624; 9838]; [373; 10290]; [1178; 4833]; [2124; 7909]; [4663; 8038]; [5531; 10477]; [3984; 4717]; [6348; 6535]; [1078; 4602]; [2599; 9141]; [2320; 9726]; [2265; 3603]; [176; 5962]; [6766; 8768]; [2041; 4649]; [7247; 9041]; [4850; 11247]; [4434; 4953]; [6369; 10795]; [3666; 9511]; [736; 2586]; [6057; 6736]; [5282; 10123]; [3004; 7325]; [1877; 6123]; [4019; 9814]; [6080; 7659]; [2873; 4398]; [2219; 10024]; [2162; 3074]; [7167; 9462]; [3875; 10035]; [630; 10454]; [7047; 7825]; [3685; 7659]; [5550; 7844]; [2366; 9670]; [8527; 11582]; [9925; 10803]; [7714; 9981]; [463; 5214]; [3978; 6376]; [9177; 10351]; [2921; 4415]; [9046; 10834]; [2565; 3090]; [3758; 8295]; [4260; 9445]; [4468; 9394]; [4005; 8172]; [7737; 7871]; [7019; 11038]; [8290; 11238]; [10505; 10681]; [3678; 8716]; [2532; 7464]; [978; 11113]; [2150; 7170]; [2685; 4296]; [4677; 10672]; [5057; 10139]; [2929; 11072]; [1162; 7258]; [3190; 9127]; [3772; 6099]; [2648; 10830]; [7346; 9339]; [1964; 11329]; [3647; 4118]; [1150; 8372]; [1499; 2864]; [305; 440]; [4855; 9631]; [2260; 11098]; [920; 2433]; [4720; 6962]; [6148; 11310]; [1977; 2115]; [10359; 10455]; [1851; 9358]; [2071; 7412]; [1916; 10507]; [5598; 10089]; [5118; 7008]; [44; 9151]; [4661; 8984]; [1815; 6668]; [2876; 9502]; [10482; 11205]; [6647; 8375]; [3619; 7331]; [4216; 5335]; [909; 4876]; [547; 3706]; [7799; 11327]; [911; 11338]; [2186; 6022]; [3239; 4077]; [2244; 9410]; [2906; 8563]; [1433; 6724]; [7840; 9823]; [1176; 2372]; [3858; 9949]; [1776; 4811]; [9802; 11072]; [2860; 7814]; [2583; 9980]; [1683; 8003]; [1141; 7454]; [3202; 5299]; [10786; 11215]; [1959; 6366]; [1102; 6745]; [1382; 9014]; [2636; 9991]; [3006; 4606]; [581; 4764]; [3380; 10674]; [1945; 11571]; [1405; 7685]; [1762; 6202]; [4496; 6799]; [7985; 8992]; [6010; 10167]; [9755; 10825]; [7194; 11122]; [5521; 6943]; [5547; 5912]; [5227; 6496]; [6791; 7699]; [2243; 4970]; [407; 3271]; [3822; 7235]; [9305; 10215]; [4785; 8780]; [5663; 6245]; [11327; 11515]; [6336; 8997]; [3574; 6352]; [202; 4744]; [9235; 11324]; [634; 10790]; [6981; 8920]; [7979; 8022]; [3689; 7241]; [2290; 8549]; [3558; 4314]; [354; 11150]; [6952; 7401]; [689; 7464]; [6287; 7950]; [318; 2044]; [3124; 4961]; [4583; 8622]; [8900; 11226]; [696; 5602]; [2642; 4463]; [1869; 2261]; [2736; 8262]; [1934; 2656]; [1120; 11033]; [10514; 11011]; [10457; 10477]; [3953; 5193]; [3667; 11023]; [2265; 5644]; [7932; 11185]; [2333; 10474]; [4277; 7010]; [9426; 10868]; [9135; 9938]; [1979; 2025]; [4191; 4203]; [5808; 11456]; [4989; 8155]; [9629; 9692]; [567; 1593]; [7421; 8387]; [664; 4909]; [4461; 9167]; [4676; 6877]; [2938; 7965]; [407; 7727]; [2616; 5470]; [2380; 3473]; [682; 3236]; [7071; 11391]; [3088; 8663]; [4522; 9793]; [5293; 9670]; [8304; 8855]; [563; 5207]; [1963; 7507]; [1485; 4499]; [179; 8250]; [8501; 9369]; [1247; 5085]; [7372; 11504]; [4349; 4388]; [2547; 10187]; [3266; 9874]; [1482; 4201]; [3171; 10768]; [7396; 9619]; [920; 5629]; [3005; 8786]; [4741; 11035]; [5305; 6647]; [5621; 10825]; [3627; 7786]; [604; 7086]; [3809; 9520]; [196; 5571]; [3618; 9952]; [5469; 11185]; [6238; 10235]; [2494; 6769]; [220; 680]; [4794; 10265]; [2282; 5543]; [4584; 6483]; [320; 7677]; [7324; 11032]; [2020; 3853]; [1145; 7036]; [1993; 2407]; [2305; 3433]; [5063; 9342]; [4319; 4872]; [7581; 8594]; [3014; 11477]; [91; 1559]; [120; 7215]; [4184; 4455]; [5816; 10488]; [5128; 6704]; [3779; 6621]; [7545; 11566]; [140; 1451]; [1449; 10803]; [5927; 11258]; [5576; 10277]; [5340; 8280]; [2558; 3505]; [2845; 6945]; [4206; 10071]; [2657; 7648]; [5293; 7710]; [6242; 9549]; [2899; 7181]; [3521; 9187]; [6570; 8856]; [1; 4675]; [468; 9776]; [3704; 11523]; [8590; 10083]; [10990; 11558]; [4170; 4348]; [3953; 5811]; [5381; 10159]; [1401; 10358]; [7581; 10822]; [3878; 9609]; [2603; 6257]; [8215; 11337]; [7491; 7896]; [4942; 9708]; [6900; 10838]; [6124; 11371]; [735; 7272]; [895; 3023]; [4193; 7900]; [6767; 11248]; [640; 1750]; [4437; 8260]; [2534; 7591]; [488; 4362]; [5987; 7875]; [7241; 10350]; [10066; 11065]; [7304; 8420]; [1043; 2140]; [4682; 5812]; [637; 1452]; [1879; 2412]; [4186; 7860]; [7016; 11171]; [1748; 3649]; [631; 3135]; [2812; 10164]; [9474; 10372]; [1160; 6862]; [41; 9685]; [7601; 11043]; [7293; 10890]; [7914; 9288]; [851; 8736]; [6947; 10253]; [9720; 10778]; [4570; 6695]; [207; 7129]; [6187; 10915]; [7152; 7625]; [793; 810]; [2164; 2372]; [10382; 11055]; [2624; 3296]; [4432; 7111]; [1727; 5000]; [517; 8459]; [7798; 8150]; [2621; 2998]; [2533; 9944]; [2083; 8203]; [6418; 9858]; [1683; 5051]; [8004; 8376]; [4922; 10479]; [7938; 10008]; [1046; 1232]; [6195; 11506]; [8053; 8268]; [4942; 11131]; [4759; 5762]; [8396; 8607]; [3907; 7239]; [3726; 8359]; [5348; 9540]; [4121; 4724]; [865; 4954]; [20; 6848]; [8129; 9202]; [1076; 2922]; [9407; 10573]; [7382; 8221]; [4369; 5957]; [3061; 8127]; [2818; 9123]; [5674; 11403]; [1665; 6700]; [5798; 6743]; [4805; 8739]; [6112; 7842]; [899; 7197]; [4574; 5608]; [10155; 11375]; [2520; 8153]; [3733; 4211]; [5914; 11240]; [6463; 8072]; [962; 7896]; [5041; 6922]; [118; 6982]; [1119; 4847]; [1585; 4088]; [4725; 6127]; [10142; 10739]; [354; 1782]; [1640; 7178]; [348; 8383]; [2070; 6762]; [575; 1192]; [11185; 11489]; [2904; 10371]; [1629; 9271]; [2159; 5299]; [4034; 4674]; [259; 8311]; [393; 5093]; [3970; 7133]; [4653; 10573]; [5025; 6769]; [7332; 8053]; [8752; 11005]; [6449; 10594]; [5757; 9320]; [4141; 11337]; [1593; 7712]; [2742; 6229]; [87; 9897]; [9082; 9604]; [6064; 9248]; [10701; 11268]; [4576; 4849]; [10014; 10338]; [1394; 3338]; [6034; 11291]; [2732; 8170]; [4845; 6959]; [2393; 4540]; [531; 3872]; [464; 2650]; [5808; 8504]; [6243; 8432]; [1888; 9508]; [742; 8256]; [1889; 10110]; [3004; 9797]; [2080; 3262]; [3004; 3381]; [4626; 10978]; [5185; 6246]; [6546; 9372]; [6303; 9614]; [6420; 10953]; [950; 5926]; [1387; 2517]; [9876; 10754]; [5490; 10265]; [886; 1969]; [6603; 6873]; [1697; 10290]; [849; 2087]; [1150; 5233]; [4771; 7545]; [619; 8980]; [7349; 7602]; [9835; 10349]; [4257; 8263]; [9129; 9369]; [4014; 9259]; [955; 1732]; [4017; 8776]; [3834; 9823]; [6057; 11436]; [4603; 5867]; [150; 6408]; [4792; 8772]; [740; 989]; [5122; 10404]; [304; 3842]; [2446; 7533]; [3822; 9439]; [7060; 7849]; [4371; 5517]; [4474; 7150]; [3853; 4588]; [5370; 7473]; [7837; 10924]; [2013; 7651]; [1390; 8426]; [3773; 8042]; [9108; 10370]; [10032; 11243]; [8103; 8599]; [1719; 10587]; [3372; 4665]; [8731; 11551]; [973; 6044]; [1721; 10633]; [5086; 8064]; [4086; 6637]; [1211; 1671]; [6164; 7869]; [4612; 5929]; [5438; 5513]; [5689; 9296]; [3892; 9023]; [3235; 4552]; [2483; 8889]; [972; 9202]; [119; 7071]; [4912; 9604]; [559; 927]; [1639; 7975]; [2019; 7442]; [1355; 8216]; [28; 11090]; [1019; 8267]; [5088; 10769]; [5939; 9821]; [490; 6425]; [7771; 8368]; [238; 4669]; [3414; 6365]; [10936; 11403]; [2197; 2991]; [669; 4855]; [2006; 3423]; [1782; 10131]; [6830; 7521]; [3318; 10040]; [10224; 10608]; [9276; 10869]; [5081; 9948]; [15; 9700]; [7792; 9595]; [4055; 9552]; [4648; 10066]; [1030; 5773]; [751; 6358]; [9030; 10813]; [10926; 11065]; [3369; 9224]; [2671; 4752]; [1306; 10552]; [2844; 7124]; [486; 1364]; [7245; 11304]; [1245; 10249]; [4624; 11550]; [4161; 10328]; [6277; 7880]; [895; 3454]; [2455; 9419]; [6526; 8584]; [2228; 4532]; [6775; 9288]; [3941; 11493]; [8113; 10710]; [6155; 10334]; [5804; 8599]; [5962; 9939]; [1762; 8674]; [3928; 9753]; [8172; 11290]; [99; 10875]; [3745; 4384]; [498; 8140]; [1098; 6415]; [4026; 10261]; [4109; 5600]; [528; 3818]; [1971; 2782]; [8944; 10988]; [2991; 9779]; [2051; 10655]; [1278; 8453]; [3950; 8172]; [8931; 10002]; [10021; 11322]; [4880; 5073]; [865; 9223]; [891; 8192]; [7269; 8641]; [672; 3166]; [1379; 4748]; [4723; 10724]; [3030; 4415]; [5239; 9328]; [4530; 4667]; [5335; 9036]; [6952; 9873]; [2821; 4241]; [1633; 5015]; [7980; 10315]; [8790; 9366]; [7792; 11018]; [9323; 9829]; [1252; 6077]; [3404; 9702]; [3461; 10236]; [4710; 6705]; [1651; 3342]; [407; 1555]; [5669; 8508]; [5263; 7820]; [2033; 9271]; [1345; 5487]; [221; 7966]; [97; 10374]; [1809; 8065]; [1802; 6894]; [3462; 4395]; [3670; 10760]; [4633; 10807]; [7491; 9750]; [2952; 8265]; [8922; 11363]; [9794; 11292]; [4190; 10237]; [2669; 5698]; [1803; 6715]; [246; 267]; [832; 3774]; [7363; 7471]; [5215; 10381]; [2128; 11386]; [6868; 10875]; [4399; 10761]; [1792; 5775]; [796; 1084]; [1542; 9010]; [2539; 10139]; [1464; 9127]; [2307; 10570]; [5579; 7810]; [3738; 8019]; [1159; 2075]; [4959; 6604]; [3954; 6331]; [10645; 11441]; [310; 817]; [4451; 7137]; [2863; 5540]; [1061; 11339]; [7910; 11373]; [1121; 2722]; [2433; 9339]; [5846; 6060]; [4108; 7148]; [3920; 7851]; [1484; 4467]; [3824; 10772]; [7890; 9593]; [2658; 3980]; [5345; 5485]; [4782; 6311]; [2918; 8980]; [630; 1330]; [1848; 1896]; [3625; 6398]; [2384; 8292]; [1691; 4164]; [4985; 10053]; [7909; 9993]; [724; 2096]; [3746; 5577]; [3837; 4941]; [3949; 5182]; [463; 2506]; [9277; 11257]; [3761; 5885]; [242; 817]; [10243; 10821]; [4973; 8888]; [372; 6525]; [5690; 11158]; [1764; 2548]; [530; 1449]; [5006; 8247]; [980; 8101]; [1014; 6931]; [1580; 3370]; [7424; 9547]; [8272; 11334]; [6300; 6364]; [2403; 2656]; [2408; 3000]; [3381; 9397]; [8644; 10159]; [3130; 5614]; [4967; 8669]; [855; 3087]; [7329; 9660]; [4094; 8515]; [3717; 8565]; [7110; 8798]; [5790; 11338]; [2367; 5978]; [8236; 8270]; [7525; 9198]; [4349; 5250]; [8120; 10539]; [3581; 9808]; [1243; 2795]; [7055; 10969]; [5226; 5523]; [8169; 10431]; [4724; 7756]; [7158; 11067]; [434; 9981]; [262; 4801]; [3293; 9526]; [4838; 8797]; [7145; 10081]; [3867; 8108]; [2654; 4880]; [4030; 9038]; [7228; 8803]; [2930; 3997]; [2532; 7334]; [8313; 9779]; [4388; 10439]; [2933; 11061]; [5665; 11585]; [3084; 4814]; [10236; 11073]; [4136; 9814]; [4003; 10224]; [5314; 7571]; [4763; 9912]; [902; 8113]; [245; 2888]; [608; 7666]; [8044; 10678]; [4592; 7586]; [3783; 11389]; [4344; 7484]; [6214; 8767]; [1577; 10911]; [949; 4926]; [1828; 1862]; [5253; 6514]; [5831; 5996]; [1142; 7950]; [9108; 9996]; [5001; 8922]; [1732; 4783]; [4614; 8284]; [8077; 9256]; [3968; 5103]; [4740; 10086]; [7482; 9046]; [2561; 11431]; [591; 8786]; [1750; 8745]; [2431; 4942]; [1182; 2811]; [2240; 6128]; [5034; 6776]; [3664; 6570]; [4875; 5965]; [1703; 5142]; [2272; 7514]; [6687; 10653]; [6656; 11340]; [990; 9407]; [8208; 11028]; [5405; 6130]; [5150; 11273]; [3716; 9362]; [7293; 11402]; [2819; 11066]; [2260; 7130]; [1539; 7370]; [4400; 9994]; [921; 2073]; [2042; 11374]; [5274; 9969]; [7915; 8123]; [2490; 8531]; [597; 8550]; [2092; 7704]; [1657; 2114]; [4961; 8691]; [7817; 10217]; [653; 3197]; [2337; 5256]; [721; 7273]; [4730; 5560]; [4221; 6622]; [680; 4239]; [7711; 10171]; [1539; 9598]; [835; 4527]; [1915; 11575]; [9819; 11245]; [2730; 5308]; [5813; 6059]; [235; 10389]; [4779; 5802]; [295; 4778]; [1158; 6873]; [2806; 9275]; [2407; 2588]; [5584; 10144]; [8445; 9762]; [506; 6129]; [3236; 5072]; [5438; 6562]; [1095; 2737]; [5444; 9760]; [6755; 7107]; [1526; 5175]; [6197; 8277]; [7195; 7379]; [1; 7310]; [4636; 10755]; [6790; 9545]; [4135; 4545]; [9826; 10480]; [2768; 3856]; [7711; 9366]; [2950; 9000]; [25; 5425]; [3130; 7655]; [514; 11251]; [5751; 10792]; [2790; 4554]; [6730; 10618]; [792; 4025]; [951; 8219]; [1818; 8558]; [8602; 9695]; [3050; 8830]; [4735; 7327]; [1034; 7695]; [4697; 11007]; [5416; 10694]; [1464; 6525]; [404; 7299]; [2202; 10426]; [8910; 10979]; [2899; 5628]; [3149; 11438]; [1458; 8962]; [9431; 9927]; [6566; 9813]; [4658; 8800]; [4704; 9145]; [4539; 6634]; [7376; 8864]; [3205; 6085]; [2709; 8887]; [431; 6089]; [1259; 2336]; [4450; 5064]; [168; 791]; [5840; 6676]; [4834; 6932]; [6344; 7118]; [6019; 11522]; [489; 2280]; [2540; 3601]; [4842; 10957]; [348; 2829]; [728; 2296]; [382; 1659]; [6328; 6615]; [7535; 8520]; [797; 3564]; [3961; 10161]; [9539; 9995]; [5955; 6784]; [9372; 11575]; [3589; 8303]; [2431; 7788]; [3773; 10864]; [1968; 10730]; [947; 10678]; [402; 6448]; [1754; 6048]; [10114; 11431]; [5725; 7261]; [5298; 5696]; [2125; 7681]; [6136; 6795]; [6683; 6964]; [6065; 8083]; [158; 9471]; [8741; 10173]; [298; 8727]; [4138; 5485]; [9328; 10872]; [1052; 10098]; [460; 6022]; [1489; 4437]; [3734; 4089]; [1210; 5022]; [2325; 11125]; [297; 7721]; [3284; 6512]; [577; 8492]; [2559; 2846]; [5986; 8325]; [6736; 9577]; [10003; 10637]; [571; 3759]; [1968; 6542]; [980; 2466]; [4183; 8237]; [5704; 8612]; [977; 7830]; [4425; 7770]; [3769; 6153]; [6260; 9998]; [2767; 3899]; [1619; 8990]; [5299; 7745]; [347; 10817]; [774; 10884]; [9423; 9954]; [7561; 9286]; [1210; 7250]; [699; 1850]; [241; 972]; [2768; 4474]; [7989; 11426]; [4226; 10162]; [1539; 2995]; [2882; 11177]; [7240; 7366]; [1168; 3991]; [4554; 9469]; [925; 10649]; [1350; 3473]; [6733; 9255]; [5024; 11081]; [2285; 7888]; [1075; 11347]; [887; 11296]; [4275; 7021]; [758; 2780]; [6826; 8665]; [702; 11516]; [10427; 11099]; [7916; 9985]; [7446; 7592]; [5536; 9162]; [4144; 5225]; [1300; 5988]; [2488; 10095]; [2142; 3042]; [2295; 10454]; [7496; 10338]; [6775; 7572]; [1059; 6276]; [9266; 11417]; [998; 8252]; [5533; 5831]; [9638; 10242]; [2009; 6835]; [6398; 11005]; [5658; 11195]; [2068; 5163]; [7150; 10051]; [636; 3325]; [2408; 8237]; [9290; 9909]; [7228; 8429]; [1877; 4814]; [9060; 10386]; [1746; 1887]; [1090; 6686]; [5004; 5867]; [814; 5290]; [7476; 8908]; [1316; 6440]; [1526; 7216]; [5015; 9409]; [2873; 6472]; [7160; 10365]; [4137; 9665]; [3149; 11251]; [2676; 9341]; [3041; 7776]; [5700; 7233]; [552; 10393]; [3568; 9922]; [796; 6589]; [9271; 10956]; [519; 1585]; [1205; 5296]; [9109; 10628]; [8489; 10920]; [6739; 10493]; [2169; 8197]; [4373; 5596]; [882; 2576]; [3412; 6349]; [8166; 8954]; [2660; 4270]; [3284; 10513]; [9889; 10187]; [7981; 9174]; [3967; 4127]; [13; 5547]; [1498; 4013]; [11026; 11353]; [9940; 10906]; [1284; 3495]; [1502; 11302]; [3548; 8115]; [3085; 6139]; [2777; 8238]; [1404; 2099]; [282; 1241]; [3903; 9969]; [4020; 4138]; [10494; 11465]; [3015; 4619]; [1285; 9732]; [2930; 6201]; [5421; 10046]; [5882; 8189]; [7186; 10781]; [92; 10916]; [4631; 5231]; [157; 9059]; [2454; 9655]; [928; 2520]; [4566; 8219]; [6255; 10622]; [916; 10804]; [1939; 10902]; [1627; 2679]; [2043; 8973]; [8080; 8375]; [2166; 6340]; [853; 6668]; [820; 10692]; [414; 5840]; [3365; 4974]; [5768; 10130]; [5448; 10714]; [7571; 9437]; [4980; 9148]; [2595; 6453]; [3682; 10508]; [3773; 9872]; [370; 2535]; [5672; 7389]; [2802; 9183]; [9739; 11316]; [1747; 8049]; [470; 3116]; [4081; 11156]; [5602; 11531]; [1562; 7515]; [8561; 10526]; [1581; 5313]; [1175; 4625]; [4736; 9138]; [3578; 6371]; [1047; 5379]; [400; 1596]; [5157; 10134]; [3949; 8004]; [5384; 7107]; [1490; 2916]; [7682; 10557]; [4005; 11319]; [239; 4122]; [1020; 4687]; [1524; 1746]; [9763; 9808]; [4448; 8856]; [274; 6560]; [2977; 7844]; [1012; 3291]; [6125; 7492]; [1312; 6966]; [5176; 8282]; [2903; 8834]; [317; 8135]; [5174; 7455]; [8795; 9767]; [411; 4764]; [1011; 9455]; [4280; 7178]; [311; 1150]; [1596; 3692]; [1867; 3963]; [1846; 3086]; [4112; 8533]; [1242; 1659]; [4638; 7825]; [5166; 10196]; [1245; 1930]; [3736; 9185]; [6069; 9438]; [2218; 8327]; [5193; 5603]; [1428; 10682]; [1110; 5677]; [5624; 8041]; [5025; 7712]; [2908; 5771]; [6565; 9992]; [514; 7494]; [6771; 7616]; [298; 3897]; [3563; 10546]; [2477; 5935]; [2379; 2394]; [362; 11237]; [1014; 2532]; [782; 2963]; [2502; 6931]; [1592; 8430]; [5389; 8524]; [1810; 9821]; [6701; 8725]; [8; 2788]; [5916; 11424]; [7786; 9701]; [6162; 8447]; [6886; 7724]; [6447; 11060]; [4360; 7830]; [1528; 3692]; [6354; 8617]; [5449; 6296]; [6101; 10423]; [5416; 10320]; [1964; 4222]; [5847; 6342]; [921; 1967]; [833; 6284]; [3675; 4694]; [4974; 6188]; [3912; 10299]; [8435; 10497]; [7026; 10363]; [4841; 10762]; [3535; 7343]; [5508; 9505]; [2263; 3508]; [304; 9323]; [2329; 5259]; [3506; 5824]; [856; 9836]; [3344; 7748]; [6341; 7227]; [3530; 3966]; [5455; 9120]; [7366; 10404]; [611; 7753]; [5764; 10629]; [1600; 4103]; [3378; 9961]; [2377; 5680]; [410; 6716]; [6136; 9454]; [6104; 9916]; [2331; 7964]; [3329; 6312]; [1063; 1619]; [6625; 8864]; [2056; 9422]; [5165; 5732]; [3262; 4309]; [5851; 8689]; [6231; 8910]; [6281; 8273]; [7843; 8649]; [5531; 7021]; [985; 5119]; [6308; 10096]; [1717; 9175]; [3443; 10736]; [81; 9816]; [1139; 2553]; [125; 10088]; [2019; 6507]; [1427; 2431]; [9114; 9980]; [2695; 3114]; [1392; 10546]; [8823; 9050]; [2510; 3334]; [9879; 11540]; [2631; 4792]; [40; 3749]; [4365; 10378]; [886; 2457]; [8045; 9887]; [5144; 10116]; [5853; 8361]; [1591; 6218]; [9383; 10555]; [691; 1989]; [2314; 6024]; [6347; 8869]; [2116; 5285]; [9927; 10426]; [4139; 6810]; [120; 8589]; [2000; 7554]; [4975; 11246]; [1778; 3011]; [1301; 2857]; [2949; 9423]; [6120; 6611]; [185; 10115]; [1547; 3263]; [3105; 6903]; [6174; 10230]; [2639; 11045]; [203; 7661]; [2104; 7503]; [2159; 7210]; [2823; 7190]; [3098; 9115]; [5183; 11518]; [135; 6214]; [257; 7143]; [9969; 10628]; [3923; 8474]; [4647; 8505]; [6486; 7469]; [6699; 8516]; [3115; 9469]; [873; 9334]; [6827; 11145]; [9119; 11397]; [3360; 7021]; [10715; 11357]; [2202; 4254]; [7931; 9919]; [4045; 4091]; [7460; 8055]; [390; 6332]; [3361; 6842]; [2055; 4177]; [1210; 6071]; [3696; 8818]; [2630; 9023]; [9390; 9766]; [5966; 8722]; [8602; 8784]; [2475; 5702]; [1270; 9505]; [6299; 7619]; [5583; 8203]; [2818; 6041]; [3871; 4096]; [8045; 11310]; [9011; 10120]; [697; 6610]; [1807; 5953]; [3436; 8305]; [6047; 10000]; [5292; 8404]; [9495; 9940]; [8872; 10715]; [2862; 8218]; [3614; 3881]; [4453; 7834]; [6311; 11012]; [36; 1616]; [3668; 4117]; [740; 2900]; [4872; 5724]; [4976; 10211]; [671; 4234]; [3499; 10882]; [6647; 10530]; [3073; 5755]; [4989; 6659]; [3283; 6504]; [2368; 3495]; [1781; 10343]; [3830; 6673]; [602; 2535]; [6111; 10900]; [2775; 5539]; [2926; 4954]; [4923; 5258]; [1220; 4799]; [4363; 10519]; [1777; 9820]; [8434; 9684]; [5225; 9760]; [4509; 10344]; [363; 2145]; [11135; 11272]; [5132; 6536]; [3193; 3204]; [5309; 11336]; [496; 11534]; [7454; 8128]; [9630; 10649]; [5837; 10674]; [5966; 7112]; [1935; 6622]; [1100; 9204]; [642; 8326]; [8577; 8807]; [4439; 8420]; [1946; 4502]; [948; 5400]; [543; 7566]; [7107; 11403]; [8354; 10455]; [5575; 5951]; [6815; 10248]; [2858; 6489]; [4337; 11526]; [3303; 6351]; [7661; 8956]; [2863; 10216]; [4888; 6152]; [8145; 8776]; [1056; 2839]; [4292; 11002]; [4879; 8318]; [5346; 10413]; [3508; 10139]; [3193; 8815]; [2076; 8301]; [2205; 4739]; [739; 4071]; [6613; 6707]; [825; 3091]; [1291; 11000]; [4369; 9909]; [453; 1233]; [2973; 9980]; [9449; 10964]; [2324; 9534]; [3754; 4129]; [2470; 2943]; [10618; 10887]; [408; 7125]; [6230; 9571]; [4058; 7923]; [2222; 8476]; [2802; 4621]; [4018; 10776]; [5709; 7590]; [8567; 10697]; [2607; 8317]; [2462; 4930]; [8429; 10763]; [2338; 3174]; [6080; 9977]; [2644; 6664]; [1428; 6925]; [2028; 2194]; [5607; 7313]; [5886; 10111]; [8183; 10707]; [1361; 9086]; [1061; 2378]; [930; 10031]; [6062; 11276]; [8266; 9429]; [331; 2532]; [8670; 9290]; [979; 9169]; [5552; 9484]; [700; 3338]; [2380; 8661]; [8419; 8890]; [1380; 7234]; [1442; 1696]; [2629; 2949]; [4065; 11322]; [6111; 8135]; [378; 11396]; [2742; 6798]; [5429; 7549]; [7237; 11364]; [127; 10996]; [1216; 2292]; [2859; 4350]; [4118; 7923]; [5386; 7852]; [4457; 5137]; [2772; 11521]; [3481; 4104]; [6906; 8756]; [6250; 7139]; [4176; 8278]; [5107; 5404]; [5568; 10717]; [1110; 10914]; [1956; 9622]; [3972; 9976]; [6527; 9110]; [1260; 4442]; [6435; 9521]; [1428; 6470]; [6490; 9228]; [4648; 9212]; [8036; 9101]; [2999; 9591]; [1168; 1820]; [760; 6721]; [1510; 4967]; [1687; 6357]; [8787; 10174]; [4463; 10563]; [2715; 6799]; [98; 10951]; [5266; 8443]; [7387; 11257]; [6534; 9126]; [9426; 11063]; [6315; 7510]; [2576; 7394]; [217; 9303]; [1112; 3766]; [9919; 11346]; [1175; 8252]; [19; 2148]; [8055; 9851]; [3629; 5799]; [1483; 5372]; [4007; 9357]; [6154; 6222]; [4306; 5260]; [1252; 2995]; [1689; 2996]; [984; 11286]; [1562; 6604]; [1290; 2698]; [525; 6049]; [9499; 11295]; [3207; 6456]; [2061; 5204]; [5973; 9974]; [5911; 9096]; [4739; 8875]; [2583; 7760]; [1484; 8956]; [271; 1564]; [5056; 6488]; [7583; 9990]; [6482; 7757]; [2417; 5374]; [5553; 9923]; [8858; 10309]; [2962; 9634]; [4615; 5210]; [126; 8006]; [2183; 9115]; [2711; 9234]; [2864; 5312]; [969; 8668]; [3858; 6924]; [3116; 10451]; [251; 3140]; [497; 6579]; [4382; 6520]; [4565; 11108]; [526; 8448]; [7033; 10997]; [578; 2222]; [2809; 4450]; [634; 5537]; [670; 5194]; [2967; 5790]; [10475; 11122]; [9506; 10506]; [3116; 9296]; [5827; 8189]; [1030; 8920]; [1231; 6924]; [4063; 10308]; [2721; 5734]; [4271; 11011]; [326; 11019]; [277; 7370]; [3210; 11560]; [2553; 7089]; [7695; 9776]; [5608; 6546]; [9987; 10028]; [8521; 9360]; [2805; 7310]; [2531; 8993]; [5038; 10365]; [3833; 7752]; [2083; 7325]; [85; 7550]; [4730; 9431]; [1920; 9778]; [2083; 10708]; [1148; 10430]; [8230; 8780]; [7431; 11019]; [10731; 11061]; [5901; 8646]; [7676; 10823]; [5551; 9021]; [2724; 5227]; [1129; 8875]; [2070; 6689]; [2978; 8527]; [3787; 11140]; [6105; 6197]; [3441; 10503]; [2567; 7495]; [3998; 9108]; [1164; 10559]; [4674; 11377]; [71; 8941]; [3987; 4031]; [4233; 7470]; [2689; 5391]; [2931; 11340]; [4053; 5782]; [2397; 4990]; [1676; 2978]; [3544; 6844]; [1649; 10200]; [5572; 6461]; [9118; 9942]; [646; 11508]; [7399; 11080]; [6745; 10290]; [3820; 5961]; [2199; 7634]; [6404; 9997]; [2853; 6926]; [3346; 10242]; [1226; 11036]; [6026; 9822]; [3383; 8589]; [2373; 6474]; [5903; 8668]; [7396; 7749]; [1623; 10857]; [3428; 4575]; [4670; 10453]; [876; 3460]; [5518; 5824]; [3370; 10986]; [4560; 9504]; [1587; 8167]; [7414; 8705]; [2438; 7219]; [3544; 9072]; [94; 6807]; [594; 11294]; [10139; 11441]; [5743; 10264]; [1013; 5801]; [5759; 7734]; [2170; 8343]; [2729; 10027]; [776; 9995]; [6409; 9536]; [108; 447]; [3757; 4053]; [3478; 4638]; [7635; 9239]; [2778; 3503]; [4164; 8349]; [9252; 10076]; [2595; 4550]; [3990; 6506]; [884; 9713]; [7355; 10353]; [1319; 9641]; [1563; 10001]; [5081; 10680]; [944; 1069]; [7000; 8849]; [5601; 10157]; [2247; 9852]; [6285; 6625]; [2362; 7358]; [2860; 11018]; [3980; 4633]; [2232; 5033]; [5162; 5542]; [748; 3759]; [2761; 11012]; [7547; 9368]; [4000; 9422]; [1988; 11439]; [481; 2102]; [1287; 10079]; [609; 6983]; [4408; 7904]; [1435; 6567]; [4081; 11481]; [204; 2733]; [8915; 9851]; [2403; 6958]; [350; 8974]; [8574; 9558]; [5916; 7293]; [1564; 5634]; [1657; 2415]; [9177; 10790]; [6599; 7700]; [2269; 4110]; [1114; 7276]; [2454; 9525]; [6590; 9085]; [6903; 7330]; [181; 655]; [9766; 10781]; [1242; 9905]; [3482; 9967]; [3425; 9433]; [7279; 10061]; [1890; 10880]; [4968; 11287]; [211; 2749]; [4162; 6693]; [912; 6768]; [4217; 6400]; [5614; 9183]; [2201; 5265]; [2001; 8617]; [2190; 5106]; [5514; 8952]; [2251; 8011]; [4680; 8726]; [9341; 11140]; [506; 6430]; [3299; 3443]; [3266; 7467]; [1624; 9017]; [3264; 4388]; [3236; 8756]; [213; 8056]; [1046; 8811]; [4485; 5225]; [10766; 11403]; [1755; 10439]; [7023; 11545]; [7944; 11366]; [728; 3402]; [110; 10937]; [848; 4258]; [2009; 4290]; [8454; 10125]; [5390; 9424]; [5025; 8737]; [3182; 7365]; [37; 5736]; [1573; 4891]; [4266; 5487]; [2251; 3823]; [2937; 5282]; [1189; 1518]; [7164; 11376]; [2429; 5815]; [4550; 8629]; [9240; 9529]; [3858; 7355]; [7096; 9929]; [2410; 11400]; [5908; 10703]; [5502; 10015]; [505; 7652]; [680; 5963]; [10040; 11275]; [2015; 7868]; [1829; 4480]; [4203; 11150]; [4313; 4902]; [5123; 10369]; [10143; 11373]; [1045; 7781]; [6812; 10520]; [2638; 4060]; [5057; 5585]; [6930; 8297]; [25; 11337]; [72; 4013]; [4249; 10744]; [6895; 11494]; [2251; 6051]; [916; 2648]; [5489; 8625]; [1817; 9731]; [3749; 9640]; [1161; 8114]; [2899; 4774]; [3069; 3465]; [3900; 9809]; [2222; 10948]; [2439; 3069]; [3552; 6093]; [2306; 7643]; [218; 10604]; [6823; 10278]; [7822; 11480]; [1253; 8053]; [3514; 6740]; [1272; 5851]; [4910; 11550]; [6775; 9483]; [4407; 10929]; [4508; 4565]; [2075; 7114]; [3069; 8726]; [5247; 11320]; [4127; 4873]; [4782; 9271]; [5754; 6398]; [3251; 8208]; [1136; 9346]; [2918; 5524]; [855; 6852]; [4931; 6361]; [550; 6216]; [1042; 6678]; [7883; 8349]; [5176; 9575]; [608; 3942]; [3374; 8958]; [3157; 4759]; [688; 4645]; [5151; 5546]; [3349; 11345]; [4089; 8903]; [2621; 8162]; [7388; 10972]; [2192; 5016]; [4052; 9775]; [3923; 6921]; [6166; 10664]; [4048; 5869]; [2425; 7469]; [6162; 7512]; [1463; 8778]; [4852; 6603]; [5633; 7168]; [5342; 10402]; [8528; 9376]; [2430; 11196]; [3134; 9097]; [3848; 8440]; [6062; 6527]; [4477; 10863]; [1385; 5862]; [1453; 3522]; [295; 4892]; [10992; 11401]; [2833; 4796]; [744; 11319]; [1005; 9374]; [9346; 11297]; [1245; 8834]; [627; 9953]; [3982; 6696]; [5014; 11044]; [6788; 9613]; [1337; 8800]; [2581; 7177]; [150; 3383]; [3259; 3857]; [2484; 7244]; [4046; 7620]; [607; 4790]; [6961; 7097]; [579; 9158]; [6365; 9695]; [2517; 6603]; [2983; 11506]; [6250; 9156]; [1984; 9523]; [11447; 11550]; [47; 602]; [4766; 6404]; [3993; 10618]; [5526; 6092]; [4218; 9016]; [5682; 6605]; [2067; 8245]; [231; 5792]; [1031; 6407]; [4828; 6501]; [11151; 11407]; [4334; 10130]; [6768; 10435]; [5698; 10521]; [11109; 11181]; [3702; 6655]; [2836; 9924]; [2299; 4057]; [3119; 10212]; [5667; 8175]; [2649; 11229]; [3433; 11311]; [2766; 6152]; [842; 3852]; [6587; 10804]; [6525; 9926]; [4728; 7401]; [779; 9919]; [2334; 9124]; [483; 8645]; [3700; 6178]; [6145; 6672]; [766; 8179]; [5835; 6446]; [3382; 10972]; [5094; 8663]; [6685; 7525]; [706; 7347]; [5584; 8298]; [3244; 4622]; [1406; 2096]; [258; 6433]; [1975; 4468]; [3212; 5084]; [3988; 5305]; [5181; 7504]; [1470; 3020]; [7137; 7807]; [4207; 7298]; [2161; 10485]; [1841; 11069]; [3737; 4905]; [5352; 9079]; [3480; 6969]; [7070; 9968]; [4670; 6241]; [5636; 11467]; [9736; 9872]; [9493; 10114]; [4248; 9177]; [8461; 11401]; [7033; 7053]; [8487; 10370]; [1456; 2159]; [296; 11397]; [4872; 8977]; [755; 3051]; [4681; 5245]; [5030; 10317]; [4345; 9460]; [3460; 8545]; [2474; 4542]; [134; 3872]; [1409; 4972]; [5925; 11169]; [1715; 8462]; [1849; 5244]; [4894; 9675]; [2222; 3540]; [3676; 6857]; [3842; 8058]; [1561; 1579]; [2371; 7046]; [3744; 5271]; [6698; 10338]; [8260; 10714]; [4430; 8228]; [760; 10161]; [5328; 9378]; [8687; 10781]; [3733; 6610]; [6006; 6812]; [6193; 8890]; [5903; 8562]; [6214; 6734]; [10300; 11095]; [3881; 4229]; [7702; 8881]; [7027; 9466]; [1831; 3510]; [1392; 6846]; [1225; 1256]; [10164; 10453]; [9758; 9765]; [8977; 9200]; [8445; 9339]; [1974; 2283]; [3684; 9727]; [1602; 6841]; [1949; 4670]; [1140; 8473]; [5827; 9856]; [4032; 10410]; [6885; 9009]; [1193; 5855]; [5678; 9733]; [5838; 7736]; [2906; 6400]; [7197; 7783]; [982; 4854]; [3308; 3936]; [1718; 11338]; [7785; 7953]; [66; 8036]; [432; 9325]; [253; 7862]; [1151; 9012]; [3988; 7078]; [4853; 5836]; [89; 291]; [5508; 7228]; [5415; 11201]; [1363; 9834]; [2273; 6837]; [2667; 6010]; [1237; 11415]; [275; 2144]; [1331; 4634]; [2480; 3151]; [3979; 9594]; [2534; 3387]; [2291; 3629]; [2222; 7996]; [1814; 10645]; [3223; 4363]; [3748; 9846]; [2833; 6837]; [2750; 5082]; [4615; 5267]; [1533; 7370]; [1194; 1488]; [6667; 10196]; [7262; 7373]; [2959; 8639]; [5954; 8045]; [4364; 11283]; [1965; 11164]; [432; 8520]; [3670; 6930]; [4169; 8563]; [1958; 9993]; [11075; 11383]; [10239; 11111]; [3950; 9953]; [842; 3665]; [5154; 5925]; [2232; 5277]; [3076; 3912]; [3420; 3722]; [894; 3074]; [7024; 10591]; [6497; 11074]; [7140; 10951]; [4060; 7465]; [271; 816]; [6585; 10140]; [1200; 2033]; [1229; 6935]; [6631; 9734]; [9284; 9403]; [5044; 10991]; [7198; 9027]; [3867; 4010]; [9648; 9865]; [1834; 10842]; [2920; 5627]; [1278; 3013]; [8459; 11168]; [1293; 6704]; [6141; 8944]; [857; 7305]; [3904; 8399]; [3379; 6299]; [359; 9280]; [1916; 9312]; [1730; 10088]; [3535; 3806]; [6895; 10315]; [3652; 5145]; [1279; 5493]; [5492; 7717]; [4024; 10386]; [6080; 7887]; [8444; 9705]; [7451; 9449]; [6456; 10618]; [5114; 5290]; [8992; 10476]; [2278; 10832]; [1810; 8512]; [504; 5847]; [3761; 8471]; [6032; 7846]; [5699; 11578]; [2743; 5684]; [7684; 10367]; [2975; 4529]; [4108; 8929]; [5625; 6152]; [2602; 5452]; [1791; 6176]; [8554; 10600]; [8948; 10527]; [2050; 7568]; [486; 4113]; [3533; 5961]; [3555; 7440]; [2034; 2901]; [8976; 9542]; [4191; 4618]; [8379; 11538]; [36; 2372]; [5521; 8431]; [10756; 11309]; [3652; 10756]; [6494; 9166]; [2413; 9313]; [1948; 10674]; [7540; 10214]; [539; 7130]; [3372; 5454]; [4091; 4387]; [5703; 11296]; [6167; 9710]; [5262; 7389]; [4767; 10793]; [7093; 9875]; [7216; 7996]; [4348; 8365]; [1982; 5720]; [8435; 11416]; [2448; 4961]; [620; 9539]; [6396; 10886]; [643; 9708]; [8229; 10035]; [672; 8948]; [882; 3308]; [3970; 5157]; [5737; 8971]; [637; 9893]; [6022; 11584]; [36; 7983]; [581; 5797]; [3193; 5465]; [6015; 8915]; [1506; 9524]; [919; 5792]; [5167; 9757]; [1647; 1835]; [1650; 2106]; [6378; 9906]; [1376; 7199]; [619; 4776]; [716; 8092]; [1096; 8313]; [26; 1229]; [739; 9015]; [2430; 5829]; [1831; 11162]; [3075; 6533]; [4981; 7473]; [2984; 10552]; [7333; 11159]; [1354; 2313]; [2374; 4392]; [7143; 8783]; [7138; 8439]; [4674; 8669]; [9850; 10940]; [5514; 9814]; [1816; 3283]; [2991; 7185]; [7409; 9841]; [90; 998]; [781; 5053]; [6223; 11442]; [27; 6311]; [5357; 9049]; [104; 8975]; [6883; 7516]; [2492; 8935]; [4481; 5214]; [8089; 8819]; [10549; 11099]; [6220; 11144]; [6822; 9492]; [862; 7112]; [4941; 10302]; [3612; 5933]; [680; 11013]; [181; 7128]; [4135; 5708]; [7519; 10359]; [5445; 11498]; [2580; 11384]; [8774; 9272]; [274; 7292]; [6081; 7952]; [8417; 8476]; [2725; 10984]; [3006; 10445]; [1626; 8797]; [9628; 11254]; [2501; 8997]; [4982; 4984]; [3681; 6827]; [3948; 4727]; [1711; 4182]; [4106; 6067]; [995; 8930]; [780; 10439]; [5068; 8141]; [7590; 10545]; [6351; 9102]; [5037; 6576]; [5609; 8465]; [8714; 11449]; [4311; 9101]; [3440; 5610]; [1675; 8258]; [2040; 6693]; [4497; 5292]; [1102; 8396]; [7461; 8795]; [2408; 5399]; [9486; 11147]; [3158; 3645]; [8198; 8307]; [6952; 9857]; [7454; 11007]; [5577; 9307]; [1258; 3624]; [6335; 8168]; [2813; 9999]; [3771; 11200]; [5731; 6741]; [1570; 11066]; [4731; 6812]; [1333; 4737]; [1838; 5404]; [3789; 9527]; [5069; 6807]; [3833; 9045]; [2954; 5693]; [1331; 7293]; [3793; 9646]; [5966; 8486]; [3297; 6032]; [4725; 10380]; [7412; 11131]; [5199; 9482]; [1949; 3141]; [1861; 7458]; [6742; 11336]; [2446; 3947]; [2700; 4995]; [6306; 7773]; [4279; 9512]; [4659; 8979]; [4072; 5247]; [1383; 7833]; [1968; 4322]; [799; 7782]; [694; 3824]; [7486; 9740]; [5490; 5874]; [2255; 6981]; [2258; 10662]; [6272; 9293]; [634; 2992]; [1496; 8649]; [2519; 7993]; [690; 3301]; [4058; 7419]; [5572; 10787]; [5656; 9734]; [9052; 9484]; [337; 11292]; [5796; 9714]; [4017; 4385]; [6415; 11449]; [6056; 10607]; [1059; 8244]; [1429; 7023]; [6785; 10982]; [4347; 6017]; [1489; 7828]; [4072; 4092]; [5444; 8508]; [2025; 7808]; [4346; 6546]; [1670; 9337]; [3974; 4688]; [1890; 11555]; [10104; 11451]; [3468; 6048]; [6430; 9478]; [2127; 10744]; [5614; 9858]; [1388; 7372]; [4366; 10581]; [851; 3003]; [3908; 9703]; [5856; 9391]; [384; 10707]; [3488; 4421]; [1541; 7587]; [416; 796]; [3647; 8615]; [2742; 6294]; [8844; 11009]; [8875; 10322]; [1129; 6330]; [977; 8188]; [1316; 8408]; [2400; 5776]; [7513; 9977]; [218; 9856]; [5292; 7713]; [3182; 9195]; [8101; 10147]; [216; 2613]; [2014; 5740]; [3106; 3723]; [1213; 7906]; [10017; 11051]; [2388; 7644]; [6531; 8375]; [5882; 7929]; [1605; 4754]; [390; 7869]; [1425; 9482]; [3011; 3836]; [4444; 6276]; [3687; 6859]; [770; 4303]; [6463; 11065]; [3815; 9488]; [3228; 5756]; [1258; 7275]; [5267; 5562]; [1421; 8959]; [1478; 5329]; [7639; 11405]; [4714; 7076]; [943; 1787]; [3346; 7697]; [8017; 10799]; [6015; 7118]; [5452; 7944]; [2682; 4684]; [4232; 10715]; [3244; 6639]; [1993; 7091]; [508; 2209]; [1652; 6798]; [6411; 10501]; [2343; 10853]; [1681; 6038]; [1304; 10252]; [4609; 9884]; [4832; 5203]; [1028; 8102]; [3361; 4191]; [5749; 10567]; [23; 8583]; [5107; 7128]; [2210; 9011]; [2920; 10864]; [5160; 10926]; [8582; 11143]; [3422; 5598]; [800; 5242]; [2536; 7491]; [578; 6361]; [3038; 8641]; [7060; 11297]; [7743; 10573]; [3913; 8087]; [6487; 11435]; [3259; 7297]; [3940; 9910]; [3351; 10269]; [946; 1280]; [6344; 8094]; [1604; 9359]; [2904; 5793]; [1816; 4519]; [2186; 3298]; [6169; 6780]; [5171; 7678]; [8887; 9096]; [3056; 8816]; [4496; 8263]; [881; 3487]; [1870; 10417]; [2379; 6322]; [3200; 5562]; [11016; 11047]; [904; 2158]; [3555; 7416]; [3620; 7811]; [2958; 2996]; [6292; 7530]; [3269; 6830]; [3264; 6486]; [5017; 10594]; [31; 8420]; [86; 1711]; [1208; 8985]; [4972; 6687]; [3144; 4849]; [3235; 11383]; [3261; 6188]; [3145; 8457]; [580; 2219]; [3730; 9110]; [2825; 6789]; [3102; 5377]; [4349; 10845]; [4230; 9433]; [8276; 10231]; [613; 1578]; [7920; 8906]; [415; 7255]; [22; 10936]; [1409; 8867]; [4101; 9962]; [7671; 11585]; [1133; 6717]; [484; 8523]; [1198; 7866]; [2036; 8965]; [4749; 8685]; [7298; 9502]; [4645; 7581]; [8356; 8655]; [2814; 8478]; [1011; 5007]; [9808; 11145]; [4208; 7580]; [355; 3390]; [5148; 11585]; [4954; 9090]; [6511; 8341]; [100; 5500]; [2801; 10875]; [1833; 7451]; [312; 7076]; [4942; 7171]; [3013; 5281]; [681; 7882]; [2518; 4521]; [1259; 1702]; [4945; 10825]; [1066; 1307]; [5155; 5185]; [1547; 1580]; [1051; 10798]; [6927; 10097]; [8048; 10730]; [1257; 4258]; [911; 3621]; [5926; 10697]; [1033; 8714]; [1757; 8745]; [1931; 3448]; [2068; 10327]; [5428; 10420]; [8377; 8727]; [4645; 6776]; [2336; 4665]; [5365; 9317]; [3922; 3937]; [5852; 9435]; [6447; 6612]; [246; 7553]; [1622; 9459]; [1744; 10388]; [1517; 4747]; [9054; 11571]; [675; 6912]; [4143; 8228]; [3505; 7971]; [5564; 9153]; [9428; 10469]; [899; 10003]; [6912; 11263]; [467; 3176]; [6845; 10041]; [1898; 11205]; [9665; 10412]; [993; 2468]; [5430; 10092]; [8076; 10842]; [268; 2966]; [4870; 8183]; [1847; 7483]; [6184; 11463]; [1349; 9458]; [2479; 7925]; [6018; 9481]; [350; 10885]; [107; 11127]; [5260; 7587]; [1717; 10793]; [1966; 5081]; [5722; 9338]; [6611; 6962]; [6139; 7906]; [1839; 6437]; [6690; 8194]; [129; 8792]; [714; 5281]; [3413; 7577]; [6905; 7035]; [1329; 1612]; [8173; 9970]; [10112; 10296]; [497; 10881]; [301; 6805]; [6185; 10129]; [5306; 6777]; [2849; 8932]; [915; 1780]; [44; 9623]; [7117; 8611]; [6642; 11536]; [1979; 8295]; [893; 7848]; [7359; 8144]; [6727; 6921]; [2341; 6432]; [2721; 6653]; [3435; 5242]; [603; 1858]; [289; 9804]; [7290; 9478]; [2312; 11329]; [567; 4830]; [7031; 10715]; [6687; 10905]; [4476; 5919]; [7445; 9766]; [7373; 8200]; [7779; 8888]; [585; 5409]; [3145; 4887]; [2479; 2582]; [3380; 7413]; [1048; 10014]; [2302; 10991]; [6091; 7060]; [3360; 10144]; [4881; 10519]; [2453; 4744]; [10042; 11004]; [2984; 10796]; [2700; 4621]; [4525; 5407]; [3036; 10205]; [801; 4071]; [3709; 6541]; [3533; 11011]; [4366; 4596]; [6619; 9781]; [3503; 5884]; [4184; 8497]; [5082; 10401]; [2532; 2943]; [9068; 10394]; [3434; 11382]; [5208; 5787]; [2271; 4107]; [99; 8875]; [4419; 8744]; [4207; 10551]; [3770; 10550]; [2497; 3107]; [2142; 11052]; [117; 2284]; [2641; 6269]; [1204; 10503]; [366; 2988]; [8624; 9572]; [765; 7423]; [7616; 9782]; [7149; 11070]; [272; 3326]; [2264; 3286]; [2763; 4919]; [2668; 7311]; [173; 6730]; [3409; 8477]; [24; 6607]; [888; 2511]; [2562; 3882]; [6575; 8704]; [2129; 4000]; [749; 8768]; [2598; 9174]; [1308; 4036]; [1073; 11309]; [2248; 2379]; [3393; 3406]; [1899; 7860]; [557; 8948]; [3112; 8082]; [4853; 6511]; [1993; 10905]; [8526; 9013]; [931; 10852]; [4238; 4895]; [626; 10216]; [468; 3214]; [4482; 5255]; [3040; 4981]; [1142; 2404]; [4374; 7415]; [2946; 3067]; [3202; 7194]; [6113; 9181]; [3255; 3822]; [3444; 6727]; [9388; 10856]; [5393; 10023]; [3872; 9648]; [1752; 10442]; [7820; 9911]; [476; 9117]; [2635; 7497]; [2064; 8462]; [223; 8671]; [10126; 10970]; [2370; 6290]; [9040; 10523]; [191; 9887]; [9717; 9984]; [1307; 6012]; [9307; 11052]; [8281; 10656]; [5361; 10835]; [5038; 5486]; [9549; 11339]; [9426; 10185]; [6310; 8540]; [2743; 4936]; [739; 3461]; [3722; 11178]; [613; 5042]; [747; 1070]; [2325; 9149]; [6528; 7679]; [10519; 11022]; [6963; 7607]; [3141; 11398]; [4349; 4860]; [1761; 9750]; [5257; 6698]; [1176; 6845]; [2487; 10608]; [2482; 3848]; [7764; 8824]; [6090; 7453]; [3875; 11393]; [5315; 10840]; [2068; 8180]; [2104; 3673]; [4213; 11388]; [3667; 7657]; [2815; 8380]; [6979; 8490]; [4897; 8233]; [437; 5351]; [965; 7722]; [7436; 8362]; [96; 5058]; [4010; 10655]; [3146; 8335]; [340; 6172]; [6475; 6863]; [9809; 11397]; [1456; 8713]; [9057; 10072]; [4601; 4680]; [9093; 9729]; [9838; 10637]; [3986; 9480]; [1890; 8416]; [5312; 9387]; [1544; 7779]; [5343; 8700]; [3203; 5055]; [3886; 9249]; [584; 9134]; [7805; 10272]; [2731; 5999]; [675; 2082]; [2873; 8334]; [3002; 4018]; [385; 8924]; [3776; 7576]; [2943; 7575]; [600; 2847]; [4366; 7792]; [1246; 7159]; [6698; 10826]; [126; 712]; [4363; 7494]; [5134; 7371]; [3838; 4640]; [5913; 6355]; [2052; 8720]; [6506; 7623]; [1712; 5619]; [5855; 6350]; [5882; 8173]; [2735; 5717]; [1962; 9177]; [6532; 9975]; [2358; 3515]; [7127; 7152]; [8118; 10745]; [4042; 5574]; [1241; 7165]; [1545; 3412]; [4716; 4764]; [1262; 11425]; [1513; 2376]; [2807; 3526]; [4929; 9194]; [4958; 7680]; [4175; 7042]; [1697; 7566]; [5277; 9877]; [7347; 11248]; [6705; 7809]; [2312; 6149]; [3524; 9152]; [1719; 9018]; [248; 1590]; [3585; 10559]; [810; 2791]; [2981; 11384]; [7158; 10945]; [8395; 9309]; [8744; 10217]; [3111; 3506]; [2744; 8408]; [4508; 6289]; [8212; 10356]; [3759; 10897]; [1240; 5004]; [8855; 10987]; [82; 2991]; [6809; 7758]; [1086; 4537]; [1148; 6169]; [7808; 9714]; [2135; 10020]; [2078; 9486]; [2882; 10974]; [2101; 3993]; [5277; 5689]; [4998; 6274]; [2223; 3424]; [1042; 5369]; [2907; 5554]; [5945; 7316]; [3775; 8747]; [1189; 1632]; [8820; 11501]; [4357; 8348]; [3789; 9584]; [6872; 10335]; [3520; 10857]; [7964; 8318]; [3149; 5437]; [5656; 7563]; [6058; 11515]; [89; 9773]; [1262; 6432]; [4935; 11186]; [2917; 3589]; [924; 9820]; [3845; 6079]; [6245; 8308]; [297; 2525]; [5553; 6280]; [5062; 9426]; [1939; 2860]; [9884; 10445]; [2869; 8429]; [5080; 7753]; [1821; 4302]; [1434; 7074]; [3058; 9082]; [9844; 11046]; [3278; 7136]; [4214; 4606]; [1095; 1192]; [498; 3188]; [5292; 8575]; [7661; 10737]; [4727; 9328]; [3674; 4103]; [4205; 10155]; [6476; 9530]; [9496; 9932]; [1449; 4322]; [5695; 5932]; [4910; 8631]; [3007; 7962]; [1639; 7829]; [4528; 6085]; [8230; 9325]; [330; 10528]; [1827; 4093]; [299; 2547]; [1471; 2768]; [163; 5692]; [3747; 8903]; [4624; 9176]; [1098; 10107]; [3211; 8142]; [1753; 5083]; [5977; 10906]; [9282; 11292]; [4323; 10941]; [6315; 10901]; [1894; 7947]; [4333; 8596]; [2458; 3559]; [5293; 11378]; [2705; 9852]; [742; 1962]; [6939; 10701]; [776; 7962]; [4035; 4997]; [707; 9323]; [7035; 10409]; [3389; 10484]; [4659; 7076]; [3394; 10828]; [3201; 10433]; [5961; 6589]; [6991; 10110]; [587; 8440]; [1232; 11396]; [5621; 9150]; [1915; 8420]; [5841; 11368]; [2657; 3395]; [855; 2778]; [1472; 7850]; [1289; 8897]; [9442; 10769]; [9254; 11472]; [2804; 3041]; [3125; 5311]; [3860; 5531]; [1712; 4277]; [3253; 10192]; [8284; 11385]; [8501; 9922]; [1443; 3298]; [940; 11345]; [3516; 4186]; [2091; 10689]; [2961; 9791]; [6189; 7513]; [9521; 9722]; [8960; 11375]; [340; 10791]; [3301; 4197]; [5104; 7668]; [9543; 11201]; [1241; 9206]; [8061; 10000]; [10022; 10647]; [1576; 11182]; [2644; 11023]; [4041; 7390]; [3353; 3606]; [1455; 6691]; [6246; 8397]; [5408; 7298]; [7371; 8772]; [8138; 11159]; [1827; 5516]; [3561; 6938]; [3124; 6937]; [6121; 6416]; [3377; 5131]; [11062; 11099]; [2442; 4099]; [1225; 10551]; [2978; 4079]; [65; 6957]; [8077; 10102]; [5075; 8027]; [6566; 9691]; [9998; 11350]; [2646; 10695]; [3675; 4946]; [1622; 11126]; [3857; 10090]; [1304; 6121]; [8380; 11042]; [6143; 11251]; [1649; 8785]; [3793; 6133]; [5632; 5851]; [4696; 8381]; [3140; 11203]; [3510; 3566]; [934; 3555]; [3236; 4495]; [1646; 2071]; [1262; 9278]; [9217; 11135]; [530; 9329]; [2354; 7261]; [4467; 5296]; [4688; 10368]; [731; 2445]; [2017; 7841]; [7454; 9722]; [3295; 8458]; [9570; 11438]; [1576; 7344]; [762; 11557]; [4155; 6872]; [8802; 9580]; [3033; 4516]; [5967; 11560]; [386; 5793]; [516; 11501]; [7419; 7634]; [6478; 9820]; [2679; 8899]; [4623; 6159]; [7045; 11365]; [2274; 11065]; [6577; 9799]; [7387; 8850]; [6236; 7254]; [969; 11254]; [5568; 10538]; [5891; 9471]; [2180; 4233]; [3544; 11040]; [6878; 9912]; [5811; 6509]; [5656; 9604]; [3634; 10933]; [4358; 4548]; [1584; 4552]; [240; 4813]; [2136; 5065]; [5349; 11524]; [7966; 11536]; [4291; 6709]; [6777; 9456]; [2388; 5286]; [4354; 10441]; [6558; 8594]; [7454; 8917]; [2072; 4491]; [3224; 8941]; [1137; 9875]; [2073; 7345]; [8736; 10407]; [4865; 7920]; [1968; 3387]; [197; 8499]; [4555; 6940]; [2194; 8803]; [189; 7857]; [934; 1595]; [1278; 2159]; [5708; 6330]; [1164; 4501]; [2654; 3311]; [2401; 5871]; [7475; 10144]; [6599; 10473]; [2115; 3033]; [4544; 5246]; [10211; 10787]; [2329; 6934]; [1556; 11148]; [4548; 6119]; [2924; 8275]; [2953; 3351]; [7151; 7953]; [4384; 11380]; [2760; 2956]; [8637; 10027]; [607; 5522]; [4094; 4636]; [2602; 5753]; [2227; 3624]; [4716; 10806]; [275; 6446]; [4399; 8655]; [2128; 2864]; [2346; 10671]; [918; 7077]; [9950; 10049]; [5642; 6807]; [6767; 11346]; [3806; 5108]; [2006; 5318]; [7510; 9175]; [5674; 9728]; [5551; 8574]; [7132; 9000]; [222; 3028]; [3174; 7268]; [1935; 9989]; [5381; 9102]; [3263; 10723]; [1000; 8957]; [6664; 10817]; [537; 7735]; [6698; 9647]; [2150; 4666]; [7005; 7323]; [1766; 7709]; [675; 6164]; [685; 6852]; [3018; 7105]; [549; 7745]; [4814; 9405]; [965; 2705]; [4912; 10694]; [8303; 10100]; [5092; 9349]; [6618; 10068]; [635; 5984]; [53; 344]; [6768; 10012]; [5985; 10505]; [3583; 8203]; [3177; 6761]; [4518; 5448]; [3076; 3676]; [2869; 5827]; [3335; 11484]; [7213; 10254]; [6719; 9719]; [6186; 7004]; [10270; 10538]; [5597; 6609]; [7501; 10886]; [2136; 5683]; [2664; 8054]; [1489; 1900]; [8204; 11568]; [4668; 9529]; [1206; 11411]; [1977; 4872]; [5810; 11039]; [2257; 7141]; [1140; 6627]; [2224; 11165]; [5623; 8180]; [5595; 6132]; [1070; 9271]; [6427; 8914]; [1383; 10899]; [5022; 9653]; [2713; 7542]; [2747; 7126]; [7439; 8853]; [9068; 10451]; [10344; 10995]; [9217; 9793]; [7696; 9418]; [3486; 7465]; [2154; 2825]; [4415; 7928]; [2028; 10822]; [3086; 9975]; [1742; 10236]; [71; 6884]; [5785; 11517]; [9463; 10199]; [3549; 8164]; [927; 1392]; [1481; 2732]; [307; 6602]; [2669; 7593]; [2913; 7953]; [1481; 6115]; [3227; 9052]; [2322; 6731]; [8516; 8783]; [4223; 11491]; [165; 2762]; [5336; 10351]; [5649; 8596]; [7419; 9675]; [1254; 3857]; [9528; 10974]; [5123; 6271]; [6976; 9105]; [339; 4231]; [1438; 9801]; [7076; 9686]; [6670; 8998]; [3055; 10638]; [3487; 6131]; [3702; 8005]; [2867; 10587]; [873; 4138]; [8006; 9593]; [8023; 10728]; [3334; 7020]; [5725; 6497]; [1205; 9980]; [5750; 8247]; [521; 6315]; [2207; 9201]; [7967; 10769]; [5870; 6097]; [4011; 9110]; [21; 5211]; [9771; 10678]; [2694; 7784]; [4972; 8330]; [3917; 9448]; [2348; 11311]; [555; 8528]; [8490; 9009]; [5710; 5815]; [1068; 3451]; [4220; 7005]; [1500; 3108]; [6233; 7842]; [1229; 2056]; [1163; 3688]; [2592; 10890]; [3867; 8580]; [376; 5560]; [5828; 6975]; [2875; 11178]; [6411; 6801]; [10084; 10801]; [934; 7019]; [230; 2702]; [2706; 4761]; [4550; 8987]; [1866; 7753]; [8065; 10149]; [4789; 11255]; [10143; 11381]; [6129; 7088]; [1745; 3262]; [3608; 6784]; [3047; 8437]; [8067; 10195]; [6097; 7550]; [2931; 4290]; [2327; 9279]; [149; 269]; [4789; 8222]; [4730; 11025]; [4138; 6949]; [8835; 9020]; [6120; 6221]; [329; 8723]; [3414; 3885]; [2378; 9217]; [1357; 2749]; [10966; 11017]; [8036; 10508]; [2186; 6014]; [2561; 5137]; [2822; 9608]; [4061; 5389]; [6208; 8670]; [5050; 5903]; [4924; 9736]; [2897; 10721]; [636; 3366]; [1694; 2519]; [7078; 11155]; [509; 7728]; [530; 2189]; [2902; 8032]; [1775; 6830]; [1336; 10166]; [1250; 8894]; [3368; 7273]; [2053; 6774]; [3264; 6169]; [275; 10715]; [1092; 10937]; [1137; 3540]; [7566; 11094]; [2549; 7355]; [1239; 7200]; [178; 7749]; [6430; 9779]; [8727; 10375]; [270; 10721]; [661; 3961]; [1328; 3458]; [2787; 7119]; [8351; 11027]; [794; 2770]; [2777; 11312]; [6509; 11011]; [4217; 4343]; [413; 3078]; [757; 7806]; [3522; 3552]; [10834; 11224]; [1128; 5275]; [3634; 7176]; [3857; 8911]; [1149; 3119]; [4411; 10251]; [6534; 9728]; [395; 5131]; [10926; 11163]; [2387; 11507]; [8185; 9395]; [3142; 10851]; [186; 4203]; [277; 10737]; [2677; 8048]; [347; 11476]; [7374; 10119]; [2011; 5743]; [4626; 11344]; [9056; 9099]; [6597; 10427]; [1802; 5569]; [766; 10147]; [1958; 6082]; [456; 2751]; [1380; 5876]; [9628; 11018]; [3635; 11134]; [5800; 8578]; [6703; 10072]; [2104; 2120]; [5247; 7840]; [970; 3911]; [3872; 7290]; [3619; 9096]; [66; 5198]; [157; 4562]; [2053; 4814]; [375; 5953]; [2462; 2767]; [4677; 5216]; [4362; 10308]; [9081; 9694]; [2768; 10394]; [3143; 9517]; [7054; 10679]; [2768; 3978]; [8843; 11034]; [1270; 10188]; [4916; 8615]; [872; 7109]; [1571; 4666]; [6092; 11207]; [9418; 9464]; [4688; 5001]; [1166; 6832]; [9144; 11147]; [5099; 6787]; [2506; 4917]; [9290; 10218]; [574; 2756]; [1852; 4127]; [644; 1997]; [7123; 8914]; [2723; 6837]; [6093; 11028]; [4252; 8985]; [5150; 10135]; [1685; 1920]; [5153; 10406]; [6199; 11454]; [1379; 8229]; [6235; 10330]; [7197; 7523]; [2240; 10251]; [1565; 10836]; [2496; 7962]; [1126; 7002]; [4321; 8748]; [1771; 10712]; [7313; 8637]; [692; 4266]; [4948; 8846]; [674; 9352]; [858; 4743]; [5916; 9237]; [3667; 7177]; [8483; 11414]; [274; 5446]; [3195; 8121]; [55; 3830]; [53; 3003]; [9540; 10342]; [5524; 10884]; [5689; 6979]; [2884; 7670]; [4866; 6188]; [5120; 10242]; [7463; 11183]; [457; 11165]; [1723; 10267]; [9161; 10696]; [8851; 9716]; [6482; 7554]; [1321; 10452]; [469; 11175]; [1807; 6181]; [7013; 10573]; [4580; 6706]; [2144; 2568]; [1617; 10221]; [908; 4806]; [7532; 8694]; [1054; 11047]; [3294; 11109]; [1838; 11129]; [2554; 4129]; [159; 2998]; [8503; 8602]; [2701; 6808]; [1770; 9682]; [497; 2993]; [151; 6520]; [4354; 7302]; [4631; 5890]; [4352; 6475]; [4283; 8590]; [5809; 10063]; [704; 9887]; [8462; 9732]; [2605; 10483]; [5835; 9032]; [9694; 10004]; [263; 5980]; [1302; 5083]; [175; 3881]; [3253; 4288]; [2101; 5473]; [2970; 5885]; [2911; 4524]; [941; 6043]; [3964; 7497]; [4715; 5187]; [6982; 7072]; [3090; 3708]; [65; 5591]; [373; 3492]; [3678; 3878]; [10214; 11329]; [138; 10765]; [1095; 6860]; [7626; 10557]; [1058; 7732]; [5101; 11265]; [130; 10123]; [5388; 8289]; [6446; 6688]; [6157; 6585]; [343; 4754]; [3977; 7328]; [1112; 7214]; [6103; 10486]; [2142; 4319]; [825; 7157]; [184; 7326]; [2441; 8523]; [4151; 8770]; [2274; 6316]; [10561; 11386]; [6850; 10312]; [1838; 2753]; [1313; 4063]; [9196; 11524]; [1061; 9477]; [1040; 8600]; [2155; 8287]; [2248; 8478]; [4263; 5978]; [9336; 10780]; [6533; 11544]; [3140; 5649]; [4568; 9997]; [2044; 3760]; [2608; 5788]; [2700; 8760]; [1647; 3535]; [5931; 10163]; [2634; 10392]; [960; 2605]; [3816; 11301]; [213; 1624]; [1851; 6748]; [5899; 11379]; [3719; 4952]; [7206; 10482]; [2328; 10285]; [9878; 10201]; [5150; 6565]; [1144; 8549]; [6798; 8967]; [363; 1568]; [485; 9667]; [10190; 11227]; [6637; 11493]; [2595; 5152]; [4954; 6626]; [3971; 9310]; [3522; 11204]; [7543; 11006]; [1065; 2779]; [4210; 4408]; [1625; 7317]; [3956; 4491]; [65; 3981]; [347; 2913]; [8399; 8897]; [2810; 8874]; [5007; 5856]; [8179; 10062]; [1209; 5537]; [2575; 2591]; [1582; 4587]; [4885; 7556]; [4938; 11354]; [2978; 9397]; [1245; 11583]; [2983; 7489]; [10787; 11459]; [2532; 2894]; [949; 1641]; [9503; 10273]; [6979; 11206]; [614; 10962]; [3128; 3679]; [9315; 10976]; [8568; 9241]; [8547; 9118]; [4366; 4897]; [1594; 7980]; [785; 5367]; [5852; 6971]; [1225; 3387]; [37; 11331]; [11029; 11342]; [7189; 8168]; [2956; 10927]; [3744; 6247]; [3245; 4614]; [2185; 2382]; [4291; 6416]; [7035; 7701]; [435; 9125]; [5505; 9492]; [4760; 5174]; [5917; 7716]; [3732; 8115]; [7818; 8312]; [5511; 7028]; [179; 4217]; [5820; 7783]; [3038; 10178]; [1799; 2319]; [2413; 3710]; [860; 3797]; [6147; 9117]; [8692; 10946]; [825; 8125]; [541; 1950]; [4708; 7993]; [1592; 4096]; [6335; 9518]; [8384; 10012]; [838; 1944]; [4542; 6011]; [1369; 7996]; [6847; 10632]; [804; 5743]; [4200; 5493]; [844; 8525]; [9426; 11291]; [1310; 1350]; [6315; 7738]; [3944; 11165]; [1580; 2931]; [5974; 7445]; [3665; 5334]; [1117; 1709]; [1020; 1776]; [182; 677]; [116; 2309]; [5683; 9898]; [3164; 4759]; [2529; 4019]; [882; 10887]; [1291; 5430]; [3942; 10688]; [5336; 9790]; [112; 8202]; [3025; 11016]; [5590; 10838]; [2311; 6011]; [6079; 7619]; [7763; 9678]; [798; 5497]; [1937; 9742]; [7632; 10161]; [1510; 7423]; [6855; 10469]; [3592; 10282]; [1656; 10631]; [2831; 10369]; [2858; 6530]; [1079; 1201]; [6374; 10546]; [3022; 11068]; [7933; 10624]; [8714; 11189]; [5094; 6069]; [1475; 7967]; [4312; 5279]; [2875; 3851]; [9887; 11231]; [6050; 7574]; [4811; 6131]; [1043; 4523]; [919; 9183]; [234; 9080]; [4056; 4535]; [3116; 3913]; [4639; 10750]; [5009; 9529]; [2586; 10514]; [6672; 10711]; [5268; 10921]; [1617; 10652]; [7198; 10003]; [2232; 8481]; [7374; 11168]; [5378; 8056]; [1087; 4421]; [61; 10441]; [3005; 8404]; [3395; 8559]; [6150; 10787]; [3047; 11259]; [1755; 6048]; [6746; 8566]; [8086; 10815]; [4149; 9960]; [1973; 10822]; [1013; 2378]; [8604; 9465]; [7234; 8505]; [233; 4667]; [6451; 7867]; [3519; 6531]; [223; 946]; [1248; 10539]; [3523; 10033]; [2391; 8487]; [676; 10498]; [674; 8173]; [4872; 8611]; [3101; 7307]; [554; 6536]; [1352; 10488]; [3038; 6958]; [4180; 4304]; [3254; 5270]; [661; 9816]; [5800; 8822]; [1851; 1918]; [1909; 8312]; [5983; 11158]; [3648; 7826]; [9814; 10082]; [349; 11392]; [4523; 8026]; [4707; 9833]; [7511; 9671]; [3144; 9232]; [9214; 9528]; [6662; 8413]; [4382; 4788]; [7377; 10610]; [2234; 9950]; [2337; 11583]; [3483; 5665]; [6189; 11384]; [4878; 7621]; [2230; 6044]; [395; 1537]; [2256; 8396]; [5972; 9814]; [2443; 10474]; [1570; 4658]; [4407; 6888]; [3252; 10054]; [8916; 11160]; [6146; 8654]; [4427; 9792]; [5390; 9839]; [4552; 8740]; [6890; 9337]; [1311; 9278]; [5366; 8664]; [8253; 9503]; [5481; 6170]; [6436; 7854]; [3767; 7652]; [3894; 7427]; [3234; 8320]; [801; 10869]; [3012; 10193]; [3782; 5681]; [1731; 2108]; [5466; 7740]; [2725; 2966]; [1171; 6615]; [5988; 9542]; [47; 3432]; [1439; 1707]; [1700; 6178]; [84; 8195]; [459; 8072]; [10528; 10848]; [6796; 8897]; [5118; 10790]; [1723; 7478]; [3514; 10188]; [1895; 2108]; [527; 1975]; [9644; 10535]; [8589; 10899]; [6311; 11484]; [1013; 1841]; [9517; 11110]; [386; 5126]; [2794; 7216]; [5872; 7623]; [4346; 6904]; [545; 2904]; [737; 9490]; [78; 10608]; [1384; 6857]; [5556; 6828]; [8828; 10484]; [5426; 10919]; [5615; 7408]; [8359; 8693]; [850; 3890]; [3212; 4881]; [540; 2910]; [9662; 11060]; [2494; 6550]; [2499; 6894]; [377; 4609]; [4984; 10170]; [2671; 11323]; [2672; 7761]; [461; 6939]; [5001; 10524]; [1054; 7453]; [1386; 5748]; [372; 6867]; [890; 8550]; [9668; 10474]; [5688; 10673]; [1756; 7910]; [3289; 4138]; [3596; 4066]; [3620; 8624]; [1944; 11344]; [387; 4142]; [6508; 7409]; [3612; 7982]; [2361; 2772]; [6985; 10192]; [4209; 9369]; [2275; 6381]; [2084; 9819]; [3543; 7064]; [905; 6175]; [55; 7725]; [2434; 11329]; [4046; 4652]; [770; 9922]; [801; 5071]; [2970; 4169]; [5184; 9426]; [6653; 9611]; [7775; 10469]; [3749; 3907]; [7245; 7271]; [736; 1643]; [584; 10671]; [2757; 6505]; [264; 1833]; [6399; 9694]; [6053; 9057]; [1178; 7623]; [6524; 7888]; [2697; 5673]; [5584; 9518]; [1482; 8788]; [3070; 3969]; [103; 3578]; [1937; 2952]; [1436; 4656]; [5615; 5798]; [3094; 5494]; [4424; 7055]; [10860; 10892]; [1832; 8039]; [4387; 7173]; [190; 9589]; [6845; 8626]; [3427; 8528]; [581; 2048]; [5873; 6214]; [215; 8306]; [7921; 8735]; [2764; 9123]; [5219; 10305]; [5281; 5521]; [3032; 3461]; [3276; 3821]; [390; 10000]; [1723; 10324]; [754; 10462]; [1783; 4713]; [162; 6386]; [2316; 5176]; [1096; 7947]; [3675; 7475]; [2057; 6413]; [5983; 9361]; [4672; 5598]; [1343; 1408]; [7545; 9737]; [2621; 2779]; [6633; 10409]; [4357; 10690]; [4088; 6301]; [616; 7495]; [3864; 4341]; [3273; 10289]; [2364; 10478]; [5633; 8201]; [86; 7680]; [1777; 10910]; [1493; 11151]; [9265; 10702]; [2106; 9688]; [3513; 6743]; [6317; 8833]; [7184; 8418]; [2131; 5022]; [2793; 3421]; [861; 1260]; [3543; 8837]; [7400; 8982]; [924; 5746]; [927; 5263]; [5898; 6405]; [889; 2527]; [4177; 5218]; [3352; 8488]; [314; 340]; [4458; 10341]; [4339; 8929]; [4955; 11147]; [1691; 7352]; [232; 1439]; [1078; 2399]; [407; 6166]; [5523; 7632]; [6987; 7473]; [4888; 6892]; [3639; 4007]; [3612; 5567]; [4790; 8986]; [3305; 8268]; [9776; 11160]; [1368; 2353]; [1586; 3744]; [1651; 8303]; [2776; 8678]; [1022; 10761]; [3104; 7231]; [6304; 10075]; [1209; 10587]; [3009; 3961]; [3704; 5506]; [3506; 4767]; [6871; 9368]; [245; 4653]; [10508; 11459]; [1418; 8482]; [2350; 8462]; [1538; 6332]; [4901; 10106]; [4443; 9228]; [448; 1979]; [4775; 5271]; [611; 10079]; [5021; 8710]; [3033; 9623]; [3650; 10531]; [4278; 7848]; [5419; 8756]; [5680; 6811]; [4276; 7021]; [9873; 11069]; [9718; 10000]; [4608; 9480]; [999; 3021]; [6503; 6878]; [5635; 7068]; [8033; 8470]; [2346; 11322]; [3863; 8545]; [7027; 8726]; [6505; 9553]; [3296; 3967]; [2733; 11209]; [6503; 7228]; [5563; 8104]; [88; 9149]; [3541; 9433]; [1041; 1338]; [5223; 8413]; [2035; 9366]; [1039; 1265]; [3377; 5245]; [5001; 6499]; [1627; 11234]; [6613; 6992]; [7547; 7799]; [818; 2205]; [3803; 7339]; [320; 1928]; [4621; 10415]; [1989; 2955]; [4399; 5118]; [9533; 10196]; [541; 7000]; [787; 4023]; [1537; 5275]; [1681; 2021]; [5323; 10872]; [7157; 10246]; [10763; 10772]; [6810; 9384]; [1151; 2206]; [4038; 6051]; [2024; 11405]; [3471; 7135]; [8801; 9873]; [391; 5901]; [5714; 10878]; [6550; 11150]; [9352; 10161]; [4746; 8208]; [3262; 6180]; [2875; 9706]; [299; 9695]; [786; 3397]; [4782; 7084]; [5549; 9471]; [62; 5968]; [1676; 7288]; [903; 10748]; [3728; 7299]; [718; 10968]; [146; 1882]; [4318; 7515]; [9760; 10494]; [1544; 7519]; [337; 8243]; [676; 1293]; [6343; 6834]; [1883; 3952]; [231; 10476]; [4522; 7695]; [8224; 8683]; [287; 7375]; [4184; 4667]; [6885; 10042]; [2192; 8090]; [254; 8366]; [3580; 6623]; [536; 5046]; [441; 8192]; [2862; 4128]; [224; 10409]; [2545; 8393]; [530; 7483]; [1239; 5728]; [4291; 5668]; [8745; 10233]; [187; 4111]; [206; 8325]; [2267; 6170]; [3917; 9399]; [8810; 9130]; [159; 2063]; [5601; 9206]; [3264; 5047]; [8429; 9438]; [9043; 10829]; [1135; 11390]; [230; 2653]; [979; 1428]; [4970; 11187]; [201; 1134]; [2035; 3918]; [572; 2767]; [2437; 7870]; [3407; 10586]; [845; 8783]; [6478; 8324]; [617; 5169]; [374; 6165]; [1592; 6731]; [1181; 1535]; [1805; 7778]; [8616; 11492]; [2508; 8460]; [1859; 8014]; [2010; 8183]; [2137; 9456]; [545; 3953]; [7580; 8873]; [4466; 6557]; [4001; 10170]; [5133; 5300]; [6052; 11491]; [3816; 8138]; [3528; 10889]; [3652; 6983]; [6728; 7317]; [267; 5113]; [1139; 11458]; [2882; 10714]; [3431; 5294]; [4578; 7148]; [533; 2788]; [3423; 10314]; [8592; 9162]; [5106; 6486]; [66; 1043]; [4042; 9770]; [954; 1505]; [3575; 10304]; [4012; 11059]; [1274; 6556]; [3043; 4781]; [3796; 9714]; [275; 1567]; [8389; 10681]; [5868; 8125]; [7836; 9943]; [758; 4195]; [6764; 9202]; [3870; 4186]; [3725; 7969]; [1875; 10344]; [734; 9436]; [1684; 4360]; [7081; 8320]; [603; 4257]; [7633; 8833]; [1186; 6335]; [5766; 7067]; [9845; 11011]; [2221; 7948]; [196; 5596]; [4855; 4931]; [495; 5663]; [4142; 9196]; [5919; 11446]; [413; 6762]; [1244; 6690]; [5783; 8175]; [1581; 3077]; [2184; 11449]; [7584; 7786]; [4669; 8309]; [7179; 9952]; [6403; 7479]; [10699; 11458]; [4340; 8807]; [1764; 9550]; [8610; 11565]; [8486; 9809]; [1134; 9154]; [2653; 6450]; [1753; 4473]; [853; 6660]; [2071; 3062]; [825; 11028]; [478; 1121]; [7363; 9480]; [2509; 6671]; [7669; 10718]; [3536; 4259]; [5339; 7730]; [5399; 7781]; [5891; 8243]; [8036; 9199]; [1124; 11068]; [1835; 3724]; [3954; 11373]; [353; 2523]; [1657; 11531]; [2410; 9294]; [4461; 10615]; [605; 9160]; [8597; 10929]; [9084; 10293]; [7596; 11529]; [931; 1224]; [278; 3288]; [2239; 10351]; [10759; 11485]; [4940; 9310]; [7400; 10836]; [934; 8288]; [3350; 10296]; [2194; 4192]; [6587; 9235]; [546; 7425]; [5434; 6812]; [1136; 5012]; [4773; 7103]; [5375; 5451]; [7042; 9815]; [3685; 9993]; [1453; 3376]; [5737; 10004]; [7547; 8230]; [2726; 4403]; [702; 4905]; [1822; 9100]; [1533; 4833]; [1909; 7564]; [8848; 10524]; [10131; 11485]; [4995; 6334]; [2058; 11070]; [1929; 8216]; [3173; 10757]; [5948; 11355]; [662; 8889]; [3453; 6610]; [4826; 4835]; [935; 10741]; [9529; 10104]; [7841; 10555]; [6817; 10986]; [2512; 5763]; [963; 9756]; [8117; 9672]; [1307; 3150]; [6863; 7197]; [3177; 7843]; [3753; 6498]; [2113; 4711]; [4592; 4789]; [4215; 9003]; [3044; 5220]; [2817; 5995]; [2500; 3844]; [423; 6220]; [8659; 9847]; [6487; 8199]; [472; 1194]; [1315; 2637]; [7388; 8866]; [7379; 11032]; [1381; 4388]; [3673; 4640]; [63; 6624]; [4916; 6956]; [814; 2062]; [1368; 9818]; [3321; 3434]; [98; 6056]; [6254; 7624]; [844; 9818]; [1749; 5723]; [4705; 5201]; [961; 11157]; [8995; 9365]; [9148; 9607]; [4850; 5555]; [4629; 9528]; [2017; 10614]; [4469; 8115]; [4653; 7670]; [427; 5184]; [3355; 9030]; [3042; 4369]; [10191; 11111]; [4260; 7941]; [2701; 4076]; [3472; 3953]; [6302; 7264]; [8764; 9617]; [10159; 11573]; [3442; 5242]; [5085; 7300]; [1764; 7135]; [7423; 7897]; [288; 1615]; [1729; 10332]; [512; 10368]; [1035; 5979]; [7979; 9283]; [1338; 3536]; [5181; 10391]; [562; 3315]; [1996; 5199]; [7880; 8523]; [315; 405]; [657; 9968]; [2646; 6247]; [2214; 4338]; [1775; 2756]; [3738; 4230]; [10928; 10973]; [3022; 8978]; [4918; 8476]; [3770; 7151]; [2366; 7361]; [124; 6472]; [181; 7006]; [9709; 10182]; [10542; 10937]; [877; 4989]; [7594; 9068]; [3824; 6633]; [7807; 10115]; [2017; 6426]; [1210; 4640]; [2961; 7921]; [6377; 8323]; [4715; 10749]; [8553; 10844]; [6306; 9611]; [1358; 1505]; [430; 4650]; [2701; 3271]; [10596; 11523]; [8318; 10977]; [3841; 4708]; [1131; 1499]; [2125; 9527]; [2312; 9353]; [787; 11488]; [3576; 6130]; [387; 7582]; [8847; 10917]; [9435; 11087]; [5288; 7204]; [4830; 5572]; [2994; 6125]; [4957; 7599]; [5033; 5931]; [1836; 3358]; [4074; 6757]; [748; 2084]; [5748; 8128]; [926; 4076]; [1433; 5570]; [4597; 5751]; [3074; 10965]; [51; 7259]; [579; 9630]; [4404; 5356]; [1506; 10020]; [7154; 10593]; [4931; 8256]; [4463; 5936]; [101; 4343]; [5056; 10587]; [2649; 11351]; [665; 9754]; [3399; 6187]; [5479; 8246]; [2308; 4642]; [2110; 4657]; [6786; 8103]; [10034; 11365]; [1471; 11315]; [4580; 7625]; [8623; 11158]; [8652; 9644]; [3301; 6783]; [5536; 5747]; [3736; 5957]; [8125; 10127]; [1399; 8968]; [1963; 10996]; [430; 9106]; [1542; 2106]; [153; 4102]; [1116; 3395]; [8762; 10189]; [4964; 6460]; [4534; 10259]; [1074; 6552]; [1905; 6480]; [545; 6962]; [5863; 7431]; [5894; 6744]; [768; 8697]; [534; 8301]; [4343; 10664]; [8968; 10415]; [1437; 4133]; [2304; 10134]; [7164; 7473]; [1067; 5731]; [1146; 10750]; [835; 5381]; [776; 8938]; [7581; 8700]; [1464; 6306]; [4222; 8051]; [5435; 8273]; [3640; 8827]; [2697; 10186]; [484; 7783]; [2574; 9032]; [2326; 4766]; [4719; 11486]; [1517; 6317]; [7176; 7833]; [1538; 4161]; [540; 5813]; [3468; 9659]; [1782; 6773]; [9101; 9200]; [6305; 7725]; [9908; 10986]; [293; 9319]; [1685; 6840]; [105; 11520]; [9028; 10415]; [4955; 8171]; [373; 10022]; [4048; 9187]; [880; 11516]; [118; 9503]; [368; 2481]; [6400; 6457]; [3044; 9489]; [6435; 8895]; [2923; 11414]; [3888; 7370]; [2391; 11553]; [3730; 4532]; [762; 9955]; [3200; 7750]; [832; 8442]; [980; 11346]; [5066; 5127]; [6525; 8788]; [3223; 8673]; [5287; 10199]; [5050; 10286]; [2942; 6179]; [1476; 5511]; [5519; 9044]; [8581; 9672]; [4092; 8304]; [2841; 8756]; [6235; 7679]; [2563; 6533]; [8437; 9169]; [2191; 11091]; [1531; 5568]; [282; 3437]; [9118; 9503]; [1036; 4808]; [30; 183]; [2356; 5681]; [898; 4874]; [5447; 11211]; [363; 1332]; [5184; 5913]; [2768; 3905]; [6945; 9882]; [25; 5474]; [5821; 6699]; [9582; 11300]; [492; 7569]; [6059; 8742]; [4968; 7197]; [6155; 9204]; [3347; 9624]; [4539; 11221]; [10014; 10176]; [6055; 11252]; [164; 4505]; [2142; 7011]; [296; 6876]; [3214; 10034]; [3845; 6868]; [3998; 7864]; [3724; 8793]; [1713; 3895]; [1561; 6507]; [5802; 8527]; [728; 9916]; [7667; 8712]; [3803; 10779]; [3144; 4727]; [5878; 6078]; [494; 825]; [2771; 9814]; [255; 10608]; [7440; 9837]; [998; 7683]; [153; 10331]; [1806; 10071]; [3287; 7637]; [1880; 1914]; [1616; 3531]; [1260; 8622]; [184; 8863]; [950; 7642]; [5874; 8938]; [3883; 5416]; [1606; 6226]; [1888; 5158]; [7268; 11423]; [4395; 7284]; [2342; 2884]; [5053; 8193]; [37; 1646]; [4980; 7156]; [2414; 7833]; [3529; 7520]; [6330; 10093]; [5580; 8841]; [7223; 10899]; [9348; 10449]; [3959; 6350]; [4959; 6279]; [1199; 10948]; [6785; 10673]; [1238; 3736]; [690; 3342]; [9461; 10511]; [2205; 6154]; [956; 4023]; [2148; 9784]; [3617; 9969]; [7399; 9031]; [1867; 9542]; [18; 3474]; [828; 8941]; [2550; 7320]; [7711; 7805]; [1057; 7458]; [6346; 7189]; [6401; 6896]; [4689; 9959]; [8980; 10588]; [3130; 6094]; [7087; 10607]; [3231; 6900]; [2161; 6232]; [3563; 9359]; [3602; 9287]; [2377; 5298]; [8734; 10532]; [6991; 7866]; [2189; 5247]; [5265; 5581]; [1637; 10369]; [753; 6673]; [4343; 9672]; [159; 1770]; [6454; 11044]; [7132; 9976]; [2130; 7269]; [6108; 10407]; [7660; 10095]; [4981; 9205]; [9900; 10157]; [6486; 9047]; [5076; 6059]; [657; 9594]; [4538; 8635]; [1896; 3840]; [5468; 6290]; [2016; 2444]; [123; 6627]; [9708; 10337]; [3827; 10694]; [2983; 9026]; [7145; 10561]; [1615; 5483]; [1512; 3850]; [3700; 7886]; [1052; 6309]; [10011; 11277]; [1700; 7284]; [3035; 8435]; [2037; 10087]; [1263; 4277]; [1316; 3911]; [8191; 8576]; [3158; 10720]; [2074; 6936]; [71; 8315]; [16; 2192]; [2741; 11371]; [812; 9481]; [6667; 7903]; [6200; 9191]; [2332; 3969]; [778; 6864]; [442; 1253]; [2486; 7819]; [2152; 2281]; [1641; 8932]; [4321; 6260]; [804; 8435]; [7156; 7663]; [6123; 10260]; [5441; 9674]; [2851; 5823]; [3778; 5459]; [3530; 5357]; [536; 3143]; [469; 1921]; [4150; 10700]; [2555; 7932]; [1008; 6336]; [2188; 6418]; [3981; 9201]; [1221; 6629]; [4364; 8185]; [3115; 6054]; [1064; 8897]; [1279; 10771]; [2116; 7481]; [583; 5591]; [8; 3374]; [7413; 7827]; [2143; 3642]; [155; 6053]; [5158; 5952]; [615; 5479]; [4410; 11162]; [9415; 11134]; [5239; 8011]; [4505; 11399]; [2669; 5536]; [2622; 11382]; [2505; 4381]; [6199; 7006]; [3439; 5188]; [127; 10801]; [1351; 8149]; [1844; 5049]; [7532; 11467]; [1751; 2606]; [8010; 8059]; [6627; 9146]; [2236; 8313]; [6480; 9850]; [1366; 8430]; [6212; 7591]; [5121; 6046]; [2266; 7374]; [7584; 7843]; [5624; 10050]; [2539; 8472]; [734; 8338]; [4409; 6749]; [8767; 9354]; [3390; 7524]; [1081; 5413]; [114; 6378]; [7746; 9302]; [3407; 10911]; [5244; 7550]; [8196; 9538]; [5183; 9526]; [2815; 3802]; [7703; 9605]; [538; 11028]; [471; 3390]; [1249; 2903]; [497; 7994]; [4291; 8571]; [2985; 5152]; [7093; 7582]; [2342; 8658]; [4639; 9254]; [1929; 6045]; [1614; 11137]; [2273; 10773]; [3020; 5338]; [4322; 7103]; [6311; 6792]; [616; 6373]; [2269; 6867]; [2207; 5989]; [987; 8760]; [159; 8349]; [3362; 7704]; [2884; 5450]; [3537; 6015]; [4225; 10553]; [4120; 5841]; [5972; 9928]; [7046; 7362]; [5368; 8501]; [5184; 6694]; [4750; 9620]; [8100; 9025]; [2573; 9880]; [1035; 7646]; [362; 9058]; [6635; 11211]; [2789; 8192]; [1194; 5424]; [4058; 5313]; [873; 6537]; [6286; 8024]; [4243; 4312]; [3481; 8715]; [2961; 6205]; [7541; 7691]; [5015; 7043]; [3487; 5497]; [8337; 8564]; [7101; 10802]; [3954; 7592]; [3882; 6026]; [745; 1252]; [3472; 7848]; [180; 8421]; [8203; 8749]; [1730; 11446]; [400; 4223]; [3920; 5729]; [337; 9536]; [6335; 10518]; [5256; 10488]; [886; 4116]; [2498; 4609]; [548; 1088]; [396; 3700]; [2629; 6755]; [2159; 3608]; [1042; 8012]; [197; 9906]; [6324; 6572]; [3521; 3926]; [7602; 7943]; [4981; 10441]; [8718; 10484]; [1096; 1832]; [9309; 10171]; [8964; 10890]; [6655; 8779]; [3487; 4692]; [1017; 5107]; [365; 980]; [2758; 7700]; [2830; 3604]; [9705; 10521]; [7306; 10402]; [4219; 11407]; [2254; 9860]; [3974; 11576]; [2478; 5781]; [6015; 11428]; [659; 3305]; [139; 5713]; [1159; 1376]; [2778; 3040]; [3337; 6976]; [2736; 9230]; [6600; 11300]; [5361; 9103]; [2864; 7695]; [1556; 1951]; [342; 1504]; [7377; 11342]; [345; 5939]; [307; 9619]; [835; 4820]; [4221; 10298]; [6807; 10997]; [179; 10373]; [7144; 7384]; [7343; 8725]; [1111; 10353]; [212; 8978]; [3168; 8456]; [1072; 8146]; [1096; 6288]; [1391; 9589]; [3406; 4837]; [1979; 9759]; [8997; 11322]; [7789; 9192]; [1656; 7793]; [2365; 6038]; [9433; 11071]; [3573; 5135]; [3206; 10791]; [2244; 4930]; [8615; 10624]; [871; 1043]; [7094; 10249]; [5791; 11265]; [836; 8404]; [3544; 3616]; [1926; 9724]; [9637; 11251]; [2985; 5315]; [2911; 9338]; [829; 4200]; [5376; 9710]; [2379; 3061]; [3659; 5259]; [951; 8512]; [5023; 11285]; [8068; 9300]; [6480; 7703]; [7543; 11364]; [1807; 3774]; [3271; 7779]; [1913; 4924]; [7107; 7801]; [727; 6525]; [6974; 7457]; [1600; 9308]; [848; 7983]; [9394; 10338]; [8941; 9804]; [7310; 10789]; [935; 10611]; [4352; 10484]; [1; 382]; [868; 2219]; [333; 5847]; [1518; 10437]; [497; 3969]; [2675; 6563]; [7269; 7755]; [7890; 10317]; [4949; 5455]; [672; 2280]; [271; 1182]; [9884; 10323]; [2136; 9668]; [4304; 7410]; [4555; 4777]; [2817; 5865]; [1439; 8050]; [857; 8826]; [762; 5556]; [3964; 8473]; [1844; 8513]; [2250; 3539]; [2351; 4345]; [875; 2235]; [2366; 4653]; [2407; 4654]; [4391; 7005]; [5574; 10768]; [3774; 4562]; [7667; 11534]; [8035; 9486]; [5454; 9885]; [4043; 8924]; [1113; 8415]; [586; 8898]; [4204; 7529]; [1298; 7414]; [3044; 3935]; [655; 10166]; [1770; 9853]; [3908; 9638]; [5002; 8448]; [4245; 6025]; [2846; 7333]; [6762; 8839]; [2574; 2673]; [4645; 6898]; [2193; 5233]; [6391; 9835]; [1823; 4202]; [458; 10002]; [1071; 2123]; [3784; 4849]; [5766; 9783]; [7449; 8988]; [6418; 8248]; [170; 675]; [8387; 10668]; [2582; 5193]; [1563; 5968]; [1411; 8580]; [5263; 6129]; [3277; 10121]; [6787; 10185]; [5269; 10081]; [1155; 7836]; [7869; 10863]; [5814; 10554]; [10106; 10627]; [3384; 3952]; [2319; 3628]; [1608; 4556]; [2568; 6584]; [6028; 8039]; [4350; 9932]; [1325; 5399]; [2820; 5307]; [2192; 4203]; [4671; 10697]; [901; 1846]; [498; 11255]; [257; 8160]; [312; 8621]; [3308; 4465]; [7972; 10560]; [1892; 3160]; [2652; 9264]; [5320; 11493]; [4391; 8778]; [6569; 7208]; [867; 3366]; [2864; 10086]; [10796; 11050]; [335; 9921]; [7442; 10745]; [8762; 10864]; [5589; 7187]; [1581; 5338]; [7207; 10878]; [3507; 7684]; [8639; 8929]; [979; 10373]; [1753; 9767]; [3494; 5944]; [378; 9217]; [4003; 8265]; [223; 5142]; [4653; 9313]; [916; 10024]; [1499; 5686]; [7667; 8769]; [2226; 9398]; [41; 2627]; [3993; 10960]; [7566; 11346]; [1253; 5630]; [7158; 9831]; [2097; 9927]; [4430; 10180]; [3456; 9974]; [3822; 5601]; [5187; 11098]; [7590; 9838]; [9923; 10091]; [632; 2694]; [3420; 10667]; [3728; 8568]; [3563; 3805]; [4657; 9031]; [1906; 6575]; [5149; 5329]; [3849; 10026]; [1810; 9496]; [6732; 9965]; [3617; 9676]; [635; 8977]; [6480; 6711]; [5425; 7075]; [3338; 8009]; [6051; 10735]; [3369; 9574]; [5614; 7728]; [1497; 1802]; [2925; 6150]; [628; 5554]; [1304; 8577]; [4802; 7850]; [1436; 3778]; [1364; 2212]; [4584; 9842]; [2063; 3876]; [3737; 5247]; [4783; 6295]; [3910; 6895]; [122; 7264]; [1061; 11421]; [210; 3701]; [3257; 4795]; [433; 5436]; [9072; 10234]; [1916; 9491]; [8012; 11008]; [4259; 10432]; [7986; 9787]; [2389; 5739]; [651; 6827]; [475; 4157]; [3439; 7660]; [7176; 7703]; [6763; 11506]; [1754; 8382]; [753; 3347]; [6707; 8164]; [4202; 6141]; [4637; 6069]; [3554; 4385]; [71; 6144]; [2461; 6931]; [3359; 8081]; [4367; 7871]; [4419; 11444]; [4701; 10376]; [2671; 7680]; [80; 221]; [1220; 1628]; [3107; 4046]; [2167; 2670]; [3041; 3426]; [1182; 2275]; [7928; 11256]; [108; 4871]; [11100; 11298]; [2167; 6053]; [3729; 6429]; [6559; 7488]; [6214; 10459]; [7730; 10490]; [9531; 10882]; [1346; 3056]; [1569; 4791]; [10218; 11031]; [5175; 6071]; [659; 5509]; [5480; 10090]; [6316; 10362]; [6105; 9361]; [6652; 8776]; [8995; 10471]; [556; 1597]; [4420; 7077]; [6555; 9597]; [837; 4468]; [8018; 9213]; [3792; 6727]; [5210; 10387]; [4244; 7790]; [8099; 11272]; [456; 8159]; [5767; 8211]; [1073; 9821]; [4347; 7888]; [699; 11300]; [3022; 6701]; [7722; 8289]; [728; 3370]; [7166; 10286]; [1027; 6443]; [75; 8440]; [28; 7870]; [3137; 7590]; [6223; 6360]; [10956; 11094]; [6909; 10071]; [6842; 8849]; [369; 11546]; [7342; 9172]; [3538; 5655]; [3486; 5465]; [1294; 3939]; [6094; 7643]; [7310; 7382]; [7494; 9943]; [5216; 9397]; [4292; 7026]; [512; 3903]; [1105; 4417]; [7271; 7427]; [1975; 4273]; [2498; 4048]; [231; 11208]; [1690; 10705]; [5023; 6723]; [4362; 11178]; [2875; 3217]; [3126; 7000]; [5581; 8182]; [7045; 8023]; [1006; 1378]; [8753; 8978]; [2781; 2801]; [8510; 9220]; [8014; 11268]; [7541; 9358]; [7078; 7382]; [3303; 11019]; [962; 4489]; [4014; 4429]; [3678; 4480]; [5794; 6196]; [1028; 6240]; [532; 9042]; [5609; 6416]; [349; 9335]; [3828; 4424]; [2857; 10151]; [1773; 4115]; [4730; 6447]; [7144; 7628]; [2140; 8258]; [2854; 7601]; [617; 7056]; [856; 9324]; [6160; 10841]; [2383; 4983]; [1354; 5070]; [798; 2903]; [2570; 4809]; [1935; 10485]; [4622; 11236]; [8846; 11397]; [7763; 10467]; [910; 6527]; [3429; 6004]; [10249; 10962]; [3611; 5486]; [7077; 10139]; [3087; 9650]; [993; 5249]; [5196; 10949]; [1901; 5589]; [2294; 10953]; [7927; 11248]; [5907; 9240]; [1435; 3315]; [2297; 4808]; [8729; 8903]; [5931; 10765]; [5803; 11519]; [245; 10809]; [7673; 10550]; [3776; 6088]; [3008; 10646]; [3629; 9044]; [4052; 5205]; [2661; 9784]; [3368; 7956]; [4242; 4548]; [2846; 9537]; [4608; 5837]; [1478; 5240]; [7104; 10026]; [449; 5327]; [3706; 7951]; [5139; 6227]; [1995; 6698]; [3521; 8171]; [1964; 5133]; [562; 2006]; [1496; 9983]; [5071; 11196]; [1282; 4547]; [2092; 10014]; [5793; 8148]; [834; 10049]; [5419; 5463]; [3609; 4985]; [491; 6677]; [54; 6676]; [4348; 5324]; [4659; 9158]; [1383; 8012]; [4557; 8881]; [1890; 3090]; [2855; 5462]; [8682; 9006]; [6430; 7429]; [3035; 4117]; [4602; 5591]; [3227; 10703]; [5868; 8857]; [419; 5461]; [5211; 10021]; [1381; 7535]; [7757; 11321]; [7567; 11197]; [661; 1961]; [4210; 10621]; [5167; 6716]; [660; 11158]; [5323; 7229]; [5203; 6346]; [4487; 10340]; [864; 1539]; [55; 9506]; [4117; 11561]; [4320; 5504]; [6195; 11295]; [9612; 11168]; [1856; 6488]; [3201; 8327]; [1609; 9240]; [2349; 3388]; [4289; 9574]; [2272; 11247]; [4557; 8076]; [7767; 10854]; [952; 3988]; [2701; 10606]; [2659; 11134]; [1284; 9830]; [3159; 9205]; [5327; 6947]; [6452; 7322]; [500; 8967]; [4985; 7183]; [10150; 10820]; [4895; 8421]; [6750; 7918]; [9843; 10111]; [523; 1222]; [5882; 8108]; [1300; 10713]; [1248; 10523]; [3258; 4673]; [1551; 1664]; [28; 6878]; [4518; 11100]; [9329; 10829]; [7644; 8545]; [4013; 9652]; [1859; 9364]; [620; 1505]; [3885; 8154]; [8212; 11446]; [8545; 11097]; [5532; 11085]; [8173; 11491]; [7984; 8586]; [8202; 9977]; [4747; 6614]; [4318; 10638]; [3496; 7820]; [3406; 11310]; [2471; 10278]; [4059; 6213]; [8042; 8941]; [3801; 5423]; [2350; 5787]; [2997; 3154]; [507; 9333]; [6257; 10213]; [2282; 4340]; [8998; 11200]; [5830; 7113]; [837; 7932]; [3915; 9093]; [2170; 9010]; [4047; 5048]; [1862; 4693]; [3978; 6409]; [4258; 9432]; [2117; 9349]; [801; 5242]; [3944; 4546]; [2478; 3878]; [392; 3502]; [612; 5720]; [3716; 8102]; [7105; 10845]; [7087; 9485]; [69; 7952]; [361; 5320]; [1844; 2959]; [256; 1362]; [3893; 10623]; [753; 2168]; [3373; 8113]; [1902; 7101]; [1901; 7630]; [4767; 10598]; [5107; 6502]; [1652; 3139]; [1337; 8231]; [4083; 6933]; [5423; 9182]; [3952; 8170]; [342; 9400]; [991; 1178]; [5724; 5912]; [8313; 10292]; [2114; 4890]; [2547; 10407]; [2583; 4402]; [4159; 4484]; [363; 7244]; [2424; 9253]; [1744; 9494]; [4817; 10311]; [10085; 11417]; [5259; 10656]; [1921; 4468]; [6587; 11390]; [4089; 6374]; [4448; 7970]; [10967; 11310]; [9014; 11278]; [824; 9524]; [2412; 4705]; [2940; 7076]; [1044; 7578]; [7582; 9440]; [2439; 9534]; [7678; 9902]; [1537; 4478]; [3064; 6553]; [4681; 6636]; [445; 3462]; [2598; 4279]; [6918; 10564]; [3993; 10399]; [8347; 11350]; [7652; 10559]; [2302; 10552]; [4260; 7518]; [2794; 6850]; [2828; 3428]; [7962; 8506]; [1761; 2277]; [2366; 11476]; [3734; 4439]; [5098; 11246]; [5349; 8613]; [5380; 7926]; [681; 5028]; [8461; 8604]; [4264; 11020]; [1728; 10438]; [16; 6331]; [4770; 8936]; [1320; 1753]; [977; 11213]; [2109; 6343]; [1106; 7651]; [4905; 8572]; [7785; 8994]; [233; 7497]; [479; 10936]; [8981; 11464]; [45; 11583]; [6069; 10780]; [2210; 3392]; [1313; 11512]; [2143; 2170]; [3061; 4696]; [3056; 4352]; [778; 1554]; [3737; 7719]; [3241; 3351]; [407; 9720]; [5324; 9845]; [9123; 10766]; [680; 10818]; [1062; 4696]; [4687; 6026]; [9461; 10007]; [6025; 7448]; [3891; 8536]; [4880; 9050]; [7058; 8234]; [4656; 10096]; [919; 3637]; [5523; 9681]; [4540; 5949]; [8012; 10447]; [978; 8381]; [1599; 6779]; [2232; 4440]; [506; 2909]; [2682; 11092]; [830; 11112]; [39; 3443]; [3717; 8541]; [3457; 7678]; [3811; 5924]; [4401; 9173]; [2811; 6749]; [1777; 5738]; [5519; 6125]; [9182; 10191]; [4428; 4580]; [7633; 7768]; [501; 10829]; [6882; 9297]; [2455; 8053]; [5204; 10436]; [369; 6179]; [675; 9669]; [3269; 7977]; [8675; 9047]; [7270; 11284]; [5379; 5714]; [6344; 8086]; [7734; 9698]; [2753; 5616]; [9105; 11260]; [4406; 8362]; [4683; 11114]; [6648; 9251]; [235; 9747]; [2697; 8690]; [493; 4121]; [1630; 5287]; [2404; 11097]; [3216; 6811]; [1825; 11390]; [1412; 9531]; [2816; 7069]; [702; 11061]; [2490; 7084]; [4427; 9589]; [6982; 8723]; [354; 929]; [4829; 11289]; [2145; 10055]; [851; 1735]; [4679; 7558]; [192; 9269]; [3012; 3224]; [804; 7581]; [6683; 11315]; [6383; 11023]; [1959; 3634]; [2989; 11319]; [4037; 9030]; [2017; 7776]; [7841; 10295]; [52; 9639]; [3383; 4076]; [2395; 10580]; [6287; 7528]; [1992; 2993]; [2606; 10800]; [9294; 9977]; [309; 3788]; [2943; 7941]; [4627; 9246]; [1879; 4055]; [516; 11436]; [1889; 8907]; [798; 10368]; [2594; 4000]; [7485; 9320]; [1066; 2454]; [1754; 2828]; [8386; 10741]; [3336; 10272]; [74; 888]; [5278; 10869]; [2252; 4236]; [6918; 6994]; [3060; 8876]; [6699; 7630]; [3987; 8512]; [6141; 7302]; [9398; 9926]; [3859; 9266]; [2267; 3763]; [930; 5949]; [5389; 8606]; [2927; 6253]; [5198; 5628]; [4971; 6403]; [127; 11452]; [8998; 9403]; [7711; 10952]; [9273; 11328]; [278; 4451]; [648; 3984]; [8684; 10933]; [1146; 1228]; [337; 5031]; [6064; 10623]; [1078; 2033]; [5097; 5172]; [270; 7192]; [3095; 10159]; [6574; 9412]; [2570; 5053]; [199; 8480]; [3709; 9298]; [5059; 5819]; [4916; 5541]; [874; 4862]; [9817; 11549]; [1032; 2038]; [254; 5154]; [686; 5565]; [4741; 10613]; [3306; 5094]; [1095; 3518]; [7314; 9572]; [6063; 6614]; [7382; 7986]; [5078; 6219]; [5191; 10068]; [2713; 10592]; [3668; 6614]; [5309; 11255]; [5025; 5834]; [577; 10883]; [429; 3815]; [370; 6618]; [1896; 7337]; [3689; 10120]; [1641; 6818]; [2849; 6696]; [3657; 4920]; [3693; 4577]; [673; 7558]; [11281; 11366]; [441; 7208]; [4620; 8350]; [1812; 4606]; [6354; 9772]; [851; 2353]; [7168; 8942]; [8415; 11000]; [1768; 11100]; [8182; 11206]; [7094; 9932]; [7772; 8864]; [427; 2964]; [397; 843]; [5130; 8987]; [9543; 11299]; [9054; 11108]; [6222; 6970]; [49; 3543]; [4350; 5614]; [1939; 9642]; [5553; 10029]; [1751; 3175]; [5995; 11128]; [4366; 8776]; [2282; 9227]; [6391; 11128]; [8073; 10108]; [1139; 8246]; [7569; 8885]; [297; 9657]; [4929; 11333]; [1787; 2051]; [6797; 9537]; [1186; 7311]; [3063; 6759]; [10026; 10113]; [6302; 8777]; [7596; 9927]; [5977; 6011]; [4242; 7370]; [689; 3472]; [904; 5346]; [4207; 8315]; [8749; 9317]; [2651; 11137]; [2677; 5942]; [1588; 5224]; [4162; 4408]; [400; 6752]; [858; 1214]; [1952; 6440]; [3385; 4716]; [900; 11239]; [243; 352]; [153; 10258]; [1916; 10166]; [1551; 9479]; [4531; 9351]; [5971; 8798]; [2442; 9458]; [1322; 3011]; [3415; 3777]; [7479; 8187]; [8571; 10334]; [1635; 11055]; [2251; 2693]; [7082; 7962]; [576; 1851]; [3680; 8397]; [1529; 3462]; [5804; 9974]; [6441; 6653]; [966; 8452]; [6191; 6478]; [7309; 9846]; [3332; 10316]; [2924; 5795]; [8213; 8532]; [4696; 10707]; [2294; 5399]; [4078; 5410]; [2806; 7991]; [535; 2200]; [2486; 6323]; [2132; 10706]; [824; 4962]; [4621; 11472]; [1135; 8796]; [3191; 6297]; [3439; 4147]; [7523; 7681]; [4283; 8444]; [5455; 8665]; [9821; 11131]; [8073; 11531]; [5580; 7613]; [8235; 9580]; [1630; 3490]; [444; 11507]; [4456; 9311]; [4769; 7556]; [6854; 8461]; [2067; 9880]; [5443; 7500]; [1067; 7699]; [8278; 8903]; [9772; 10838]; [7530; 9949]; [9610; 9756]; [3013; 10697]; [3474; 5430]; [3171; 5621]; [1646; 3592]; [5937; 11391]; [2981; 5497]; [49; 4161]; [2952; 9640]; [275; 3161]; [6546; 9405]; [921; 7473]; [4682; 5658]; [8978; 9637]; [3622; 5678]; [4685; 5175]; [6429; 11449]; [1391; 9085]; [1869; 4953]; [3997; 4774]; [592; 774]; [8504; 10131]; [5634; 6263]; [1465; 3557]; [1341; 1801]; [1841; 6288]; [7842; 10951]; [151; 10830]; [3821; 4733]; [767; 2468]; [3232; 11508]; [5503; 10129]; [2203; 4425]; [3672; 8774]; [559; 5148]; [1880; 8875]; [6473; 10566]; [2511; 5709]; [114; 7915]; [150; 3408]; [8739; 9597]; [1896; 6345]; [5990; 7214]; [3840; 9297]; [920; 9476]; [3969; 5735]; [2190; 6822]; [2169; 5945]; [2780; 3655]; [3750; 6371]; [3563; 4293]; [5613; 10647]; [1172; 10451]; [6918; 7425]; [3900; 7069]; [4177; 9821]; [8110; 9022]; [7351; 10690]; [7356; 11034]; [4121; 5725]; [244; 2669]; [433; 5574]; [598; 7331]; [7218; 7313]; [7407; 10218]; [315; 4764]; [6781; 7312]; [4949; 7984]; [4267; 11562]; [1867; 3671]; [765; 8383]; [5894; 5947]; [1663; 3117]; [6839; 11050]; [860; 10872]; [2003; 6191]; [822; 8136]; [5061; 9329]; [4062; 4340]; [1911; 3569]; [5044; 10853]; [4672; 8241]; [1839; 11048]; [4389; 5674]; [375; 627]; [5674; 8216]; [4604; 7548]; [1252; 8070]; [7532; 11394]; [4548; 9868]; [2143; 5797]; [7495; 11512]; [7099; 11512]; [865; 3645]; [183; 7223]; [150; 4831]; [1306; 4519]; [2328; 8179]; [2204; 5669]; [1335; 10175]; [492; 8732]; [8244; 10260]; [1945; 7660]; [6272; 10952]; [9161; 9208]; [4004; 8842]; [3063; 4612]; [298; 2450]; [9821; 10944]; [3221; 5952]; [3871; 9252]; [5027; 8940]; [3165; 8272]; [1565; 11576]; [7886; 8485]; [7534; 10285]; [7231; 10476]; [4862; 8314]; [3401; 7990]; [3109; 4206]; [10708; 11154]; [9218; 10092]; [5455; 8828]; [6169; 8171]; [1313; 10951]; [6669; 8494]; [3981; 7518]; [438; 4308]; [190; 10622]; [2146; 4509]; [647; 7865]; [6965; 8263]; [5220; 8180]; [901; 8913]; [2026; 9288]; [4791; 9952]; [278; 3272]; [4878; 7662]; [946; 11315]; [829; 4314]; [1800; 10638]; [4684; 8550]; [1845; 9657]; [821; 3672]; [5158; 7652]; [3153; 5952]; [8036; 11411]; [8911; 10857]; [5045; 8714]; [9372; 9754]; [4893; 9074]; [786; 1584]; [6608; 10446]; [8194; 11216]; [1897; 10197]; [8691; 9770]; [1869; 8149]; [1282; 4417]; [2299; 7733]; [2519; 2781]; [2204; 3709]; [5970; 9408]; [8063; 9420]; [370; 8472]; [4066; 8514]; [9451; 10205]; [3541; 5660]; [4731; 10594]; [1481; 10669]; [3733; 5830]; [5782; 6324]; [4655; 5122]; [3473; 4213]; [2788; 4110]; [1666; 3252]; [738; 10561]; [3814; 7889]; [856; 1168]; [1439; 8164]; [4768; 5938]; [5456; 9722]; [9292; 9744]; [763; 8524]; [7609; 11293]; [407; 783]; [4947; 11538]; [4233; 5779]; [6540; 7063]; [2218; 4115]; [6607; 8285]; [1397; 4905]; [9022; 10822]; [2647; 4228]; [2729; 5758]; [6034; 6144]; [3696; 8176]; [7094; 8753]; [3383; 3515]; [4434; 5661]; [5366; 6395]; [5350; 5862]; [8509; 11361]; [3686; 10871]; [914; 7538]; [1022; 8761]; [3816; 10163]; [1913; 3078]; [4965; 8680]; [2100; 2904]; [1416; 5655]; [9872; 11500]; [323; 1031]; [1493; 6841]; [5949; 6571]; [1002; 9987]; [2430; 7919]; [2208; 2622]; [1709; 5907]; [7689; 8939]; [996; 3002]; [4695; 6725]; [8683; 10551]; [7592; 11258]; [8803; 11407]; [2932; 6036]; [2199; 8171]; [3443; 4296]; [4325; 11329]; [4385; 11380]; [242; 4233]; [185; 7863]; [1613; 5795]; [7213; 9360]; [246; 11522]; [5588; 10133]; [5430; 7295]; [954; 10296]; [204; 4880]; [6525; 8959]; [3600; 4630]; [4461; 10062]; [3941; 8306]; [2635; 4887]; [4927; 5139]; [4746; 7013]; [1537; 2925]; [819; 6846]; [6481; 11289]; [903; 9203]; [784; 7791]; [4227; 7387]; [10023; 10864]; [2027; 10107]; [463; 1734]; [688; 4296]; [1546; 6801]; [1272; 7730]; [272; 8555]; [6655; 7096]; [2231; 10287]; [4046; 4693]; [5648; 10914]; [988; 11354]; [3476; 9266]; [8510; 9976]; [614; 8669]; [2471; 2577]; [7489; 7672]; [7733; 10284]; [2592; 4035]; [10852; 11446]; [1592; 9024]; [1166; 3897]; [903; 5015]; [606; 11410]; [8599; 8863]; [838; 3839]; [1343; 2254]; [1584; 5349]; [3366; 3779]; [436; 3270]; [1464; 10128]; [4291; 7506]; [3506; 9451]; [6842; 9150]; [18; 4450]; [2729; 9759]; [6681; 7512]; [2579; 6782]; [6676; 7168]; [4222; 8840]; [1293; 11185]; [5501; 10059]; [5344; 5911]; [6089; 6819]; [2042; 5796]; [3496; 9113]; [6801; 8745]; [5777; 9176]; [10777; 11056]; [421; 1807]; [2532; 3179]; [453; 10390]; [2993; 4328]; [4565; 5392]; [2597; 3574]; [6884; 7467]; [4588; 10479]; [189; 5621]; [2900; 4514]; [6050; 7241]; [8307; 8438]; [4356; 10129]; [1558; 5575]; [3120; 5951]; [1313; 9154]; [23; 606]; [1614; 5884]; [9401; 10631]; [2261; 10421]; [5251; 8729]; [1615; 9492]; [1866; 6859]; [1548; 1854]; [5467; 9293]; [4503; 7523]; [280; 10970]; [3131; 6490]; [75; 9814]; [3562; 8928]; [5776; 7769]; [676; 7937]; [6233; 9176]; [1751; 1809]; [10584; 10610]; [1005; 10098]; [10005; 10903]; [3987; 7764]; [7463; 8971]; [873; 11083]; [5004; 8047]; [6810; 11035]; [4369; 10690]; [427; 7209]; [9549; 9697]; [2947; 9540]; [1791; 3436]; [5154; 11374]; [2592; 4653]; [3588; 7092]; [647; 8646]; [1191; 9298]; [6980; 9352]; [6479; 11056]; [326; 9759]; [11341; 11474]; [3345; 6553]; [3211; 4109]; [2120; 8980]; [3374; 5039]; [728; 4289]; [881; 7537]; [1192; 9119]; [2369; 9684]; [8248; 8500]; [7169; 9224]; [1710; 4386]; [7625; 9275]; [7723; 10564]; [1534; 6604]; [9736; 11401]; [849; 5747]; [4142; 11034]; [3296; 3658]; [9770; 10231]; [2955; 3365]; [4581; 7698]; [2181; 3971]; [5174; 8212]; [1533; 8631]; [2925; 11070]; [2335; 3657]; [1160; 3919]; [10555; 10915]; [987; 11346]; [680; 9883]; [1824; 8056]; [4967; 7360]; [1173; 6783]; [10419; 11027]; [7002; 10400]; [1890; 3391]; [3662; 7549]; [1955; 3786]; [4875; 11154]; [2152; 4330]; [4341; 11220]; [9351; 11536]; [1159; 8955]; [3120; 9602]; [758; 2195]; [2053; 6953]; [9398; 10601]; [8775; 11376]; [3403; 3474]; [3958; 7668]; [4887; 8131]; [10618; 11213]; [1647; 8894]; [4954; 10107]; [55; 3391]; [1956; 3987]; [7993; 10559]; [4068; 10465]; [4790; 7417]; [1172; 3124]; [11218; 11393]; [4876; 7191]; [9208; 10827]; [2981; 10547]; [1427; 7026]; [9548; 10895]; [10379; 10823]; [5408; 9681]; [6733; 10898]; [4369; 9080]; [9317; 10770]; [1980; 4731]; [4588; 6909]; [204; 3083]; [9510; 11542]; [1666; 6261]; [9097; 9683]; [7641; 9703]; [131; 7708]; [4799; 4877]; [476; 11126]; [312; 3555]; [7777; 11469]; [776; 1969]; [3396; 5662]; [3050; 5025]; [4944; 10112]; [6222; 11483]; [2302; 10235]; [6777; 9261]; [6042; 9795]; [4383; 8732]; [3535; 6945]; [3010; 11261]; [8700; 11336]; [4314; 6683]; [1427; 9254]; [4221; 4240]; [9052; 9509]; [5504; 5955]; [6000; 6536]; [1262; 2212]; [384; 10382]; [1946; 11512]; [2135; 4995]; [1230; 2674]; [2940; 5954]; [6080; 7993]; [4019; 10148]; [1166; 11549]; [4927; 5570]; [2867; 10579]; [8570; 9361]; [1123; 7688]; [70; 3217]; [2494; 2834]; [7746; 11351]; [4635; 8552]; [8; 11384]; [3322; 8880]; [6563; 10971]; [5534; 10304]; [6444; 9559]; [6002; 6208]; [8990; 10859]; [644; 2176]; [6906; 11310]; [6185; 10796]; [5696; 8353]; [1114; 10204]; [1386; 8448]; [57; 8243]; [4840; 5170]; [5063; 5407]; [1916; 2197]; [9668; 10141]; [1879; 2315]; [3677; 5442]; [7613; 9078]; [1373; 4429]; [1430; 8346]; [2462; 5524]; [6610; 7353]; [3340; 9405]; [749; 8362]; [5855; 11392]; [1146; 5554]; [10519; 11071]; [1522; 8285]; [5685; 9668]; [9146; 9813]; [2823; 9825]; [772; 6252]; [5369; 11125]; [4531; 10026]; [5224; 8492]; [3292; 6331]; [1912; 6935]; [1476; 7536]; [1254; 8655]; [137; 2479]; [4592; 8400]; [763; 8768]; [446; 6617]; [3371; 4530]; [4150; 10684]; [253; 6976]; [2615; 5715]; [283; 1900]; [5704; 10418]; [8777; 11235]; [3546; 8476]; [8833; 11544]; [371; 8136]; [550; 9599]; [4249; 6906]; [3440; 4293]; [577; 5760]; [3145; 11515]; [10044; 10912]; [8239; 10024]; [2353; 10037]; [3633; 8071]; [3225; 4304]; [1980; 10960]; [1920; 4493]; [6333; 6805]; [4114; 6839]; [1101; 10991]; [4649; 8129]; [907; 1326]; [15; 9790]; [3430; 7338]; [9195; 9250]; [1805; 5859]; [5822; 10423]; [4860; 5316]; [3480; 10084]; [4507; 7672]; [5016; 5829]; [9298; 9378]; [1958; 6074]; [1827; 6557]; [5096; 11450]; [1491; 6608]; [1331; 9359]; [3201; 7636]; [1262; 11474]; [2353; 5849]; [7363; 9171]; [3103; 7101]; [5726; 10311]; [991; 9668]; [3976; 10638]; [4506; 6666]; [7577; 10820]; [5146; 7780]; [2252; 2764]; [5149; 7297]; [3258; 5137]; [9512; 10246]; [6892; 10717]; [6155; 10424]; [5615; 6538]; [1974; 6203]; [6856; 8027]; [4927; 5383]; [818; 9898]; [42; 4015]; [5766; 9336]; [226; 2789]; [8806; 11144]; [1086; 1203]; [4048; 8797]; [7059; 7982]; [8873; 9333]; [174; 5258]; [5039; 9357]; [593; 4653]; [3317; 4562]; [459; 8625]; [6128; 7823]; [1727; 2138]; [1135; 4478]; [1763; 1795]; [4345; 11420]; [2480; 7071]; [7922; 10050]; [1384; 5182]; [4092; 7564]; [3042; 6020]; [9726; 9959]; [3198; 6533]; [1877; 2082]; [894; 4766]; [4373; 10435]; [2594; 11522]; [6735; 11426]; [164; 11336]; [8321; 10698]; [6423; 10373]; [8295; 9477]; [1072; 7512]; [3871; 8504]; [623; 2990]; [442; 7116]; [6665; 9906]; [6238; 8341]; [1496; 6527]; [3123; 7298]; [2156; 8263]; [3020; 4167]; [5267; 5400]; [2149; 7092]; [2583; 4166]; [5674; 9696]; [2155; 11044]; [1527; 11475]; [6100; 11036]; [2640; 8083]; [217; 4904]; [408; 1466]; [9673; 9924]; [158; 1291]; [1431; 1564]; [4225; 9382]; [3358; 3381]; [7423; 8393]; [5403; 6385]; [4910; 6452]; [953; 1939]; [58; 306]; [5159; 7156]; [388; 2692]; [4842; 11421]; [2168; 10875]; [886; 10516]; [10230; 11131]; [765; 6025]; [3533; 8458]; [1534; 5075]; [5238; 8388]; [3250; 9301]; [131; 1723]; [1343; 4726]; [4744; 4820]; [8345; 11418]; [1626; 10676]; [4021; 8397]; [1244; 10382]; [3047; 7437]; [1526; 7062]; [5395; 9476]; [3547; 6262]; [3884; 4901]; [1839; 8690]; [1108; 1826]; [6240; 10241]; [2265; 4368]; [4837; 6889]; [232; 1374]; [2384; 4999]; [7518; 7825]; [2532; 5651]; [8046; 10196]; [1950; 2263]; [6060; 7772]; [4933; 10734]; [2031; 10738]; [9570; 11219]; [3775; 7186]; [1316; 2098]; [1689; 10974]; [249; 5111]; [1461; 8114]; [4606; 10497]; [4673; 5303]; [5289; 7521]; [2430; 11359]; [3672; 10067]; [1860; 2346]; [3327; 6622]; [2231; 11149]; [3721; 5795]; [4251; 8993]; [6907; 8179]; [1892; 4486]; [1484; 7135]; [1112; 10939]; [551; 9182]; [3373; 5462]; [1969; 5672]; [5558; 5817]; [1170; 8665]; [2013; 5944]; [1354; 11226]; [7259; 9011]; [1350; 7320]; [4999; 7516]; [2063; 2274]; [5547; 8287]; [5789; 7820]; [7471; 9052]; [2275; 3096]; [501; 4527]; [5888; 7799]; [2273; 7187]; [2894; 5585]; [1999; 8116]; [5421; 9087]; [1491; 8649]; [6874; 8015]; [6565; 10643]; [6472; 7446]; [6066; 6758]; [2783; 10857]; [1057; 2880]; [2077; 3461]; [164; 1350]; [241; 4014]; [5518; 8646]; [2381; 3872]; [2157; 4918]; [1133; 4595]; [3903; 7855]; [4147; 10467]; [5370; 11377]; [10521; 11174]; [5077; 7368]; [4521; 10119]; [3936; 7214]; [4672; 9534]; [10523; 11220]; [6538; 11075]; [1378; 7782]; [4366; 9427]; [55; 252]; [2114; 7850]; [2208; 7485]; [4758; 6275]; [6382; 7529]; [4489; 7548]; [7040; 9192]; [1983; 8306]; [8115; 9480]; [9245; 10199]; [59; 6760]; [4200; 10828]; [6991; 8549]; [6688; 8740]; [898; 10713]; [2548; 7526]; [2753; 7958]; [2983; 10864]; [4845; 5870]; [9694; 10964]; [1346; 1454]; [5676; 8427]; [1295; 4872]; [5997; 7287]; [1878; 11114]; [104; 6129]; [9; 2859]; [1161; 11473]; [6106; 7230]; [9745; 10148]; [6133; 9053]; [1967; 6618]; [10833; 11395]; [4520; 9089]; [2092; 5566]; [3516; 6008]; [6661; 8391]; [6687; 7360]; [10391; 11427]; [3610; 9807]; [2454; 3703]; [10045; 10790]; [1826; 4134]; [1526; 10258]; [6037; 9695]; [6159; 10624]; [610; 10030]; [2816; 8256]; [8961; 9635]; [5962; 7077]; [8427; 9701]; [767; 11145]; [734; 8753]; [8172; 8428]; [8270; 9717]; [4710; 11064]; [1890; 2025]; [7588; 9131]; [420; 10283]; [2041; 2194]; [363; 3333]; [635; 1577]; [3408; 8518]; [6949; 7868]; [3618; 6261]; [6534; 9346]; [756; 6418]; [5417; 6580]; [697; 9221]; [1750; 8030]; [5322; 9726]; [8374; 8912]; [7997; 8962]; [1280; 2631]; [3515; 8765]; [8186; 9615]; [1364; 1578]; [3100; 3827]; [522; 9405]; [3946; 4787]; [1399; 10432]; [153; 5566]; [14; 2024]; [8453; 10898]; [708; 9760]; [4603; 10389]; [1211; 7348]; [5968; 10224]; [3938; 7528]; [3198; 6964]; [7859; 9378]; [8259; 10251]; [6829; 9240]; [2510; 6563]; [5672; 10081]; [7454; 8511]; [1568; 8524]; [6910; 7135]; [408; 4930]; [3276; 8725]; [1091; 2708]; [2646; 8329]; [2346; 8037]; [622; 9585]; [2771; 7277]; [3296; 3715]; [3834; 6774]; [1996; 10664]; [8689; 9431]; [4857; 6872]; [10612; 11506]; [1374; 7877]; [7305; 11047]; [3444; 9248]; [190; 10305]; [990; 10920]; [2726; 6753]; [391; 9837]; [50; 9544]; [179; 5982]; [3656; 10824]; [175; 8492]; [980; 7199]; [455; 4345]; [5677; 9270]; [542; 557]; [1608; 3735]; [3958; 7375]; [3061; 9079]; [7173; 8245]; [2803; 8289]; [1318; 3407]; [6173; 6818]; [2687; 4142]; [2180; 8283]; [3455; 10137]; [2092; 6184]; [3823; 8089]; [3987; 6211]; [4412; 5451]; [11113; 11249]; [220; 8211]; [2323; 5558]; [8623; 11012]; [339; 3207]; [373; 2037]; [894; 3237]; [6931; 7557]; [4042; 10055]; [3479; 4465]; [9554; 11521]; [7393; 9308]; [827; 5398]; [9450; 10417]; [5360; 6314]; [4088; 8895]; [4002; 7623]; [7763; 8060]; [2758; 5082]; [1978; 8125]; [3222; 3496]; [1099; 4773]; [5422; 10575]; [5355; 9353]; [1819; 7314]; [5050; 8717]; [330; 11358]; [664; 4064]; [1407; 8309]; [1443; 1550]; [7537; 8656]; [7377; 11407]; [1926; 10594]; [2335; 5137]; [4298; 4359]; [7630; 8066]; [994; 3417]; [2616; 8008]; [1654; 5153]; [7256; 9545]; [6318; 11248]; [10050; 10947]; [26; 10573]; [4107; 10426]; [2083; 4512]; [6527; 9143]; [3786; 10785]; [928; 6180]; [272; 399]; [7429; 11166]; [509; 6004]; [4251; 6391]; [7895; 9653]; [739; 2494]; [6150; 10324]; [2750; 6668]; [890; 2663]; [7390; 8205]; [3185; 6596]; [1199; 3418]; [43; 1478]; [2004; 2125]; [316; 2576]; [448; 9111]; [4077; 7177]; [4214; 9892]; [854; 4137]; [2427; 4702]; [690; 8644]; [5449; 8183]; [4172; 9666]; [163; 5717]; [1341; 2720]; [2215; 3476]; [5669; 6614]; [3487; 6530]; [6468; 7758]; [3641; 3964]; [7524; 10248]; [430; 3967]; [9573; 10742]; [2166; 5462]; [526; 10091]; [2021; 2829]; [951; 2161]; [8054; 9659]; [298; 4979]; [14; 5220]; [4002; 9046]; [1194; 5302]; [6018; 9400]; [2257; 2547]; [49; 1242]; [3598; 7650]; [785; 3562]; [3992; 6823]; [2374; 6515]; [3489; 6202]; [8320; 11471]; [1345; 2438]; [6360; 9514]; [2005; 10590]; [2031; 9559]; [2554; 11586]; [4806; 6747]; [4296; 11371]; [9153; 10691]; [8403; 10193]; [8530; 11466]; [1801; 3620]; [4; 4101]; [1874; 8794]; [962; 3050]; [215; 8485]; [4819; 10365]; [1793; 2978]; [836; 4631]; [3759; 3969]; [3915; 8646]; [3665; 7717]; [4284; 10206]; [8273; 10470]; [2069; 4724]; [2812; 8969]; [9454; 11154]; [289; 6340]; [4370; 6193]; [8175; 10312]; [3965; 8359]; [455; 1125]; [6200; 8077]; [6821; 10639]; [11313; 11524]; [971; 6145]; [3099; 5212]; [2621; 2958]; [1875; 4831]; [2090; 5951]; [3427; 4519]; [6924; 10737]; [5336; 9140]; [8192; 11420]; [928; 6448]; [1122; 9697]; [1720; 4139]; [785; 9523]; [5190; 7810]; [3729; 7486]; [6346; 7498]; [7562; 7991]; [1172; 6027]; [3670; 3873]; [3826; 8550]; [8679; 11134]; [584; 2824]; [9489; 10185]; [143; 2327]; [9475; 11226]; [2787; 4135]; [3246; 7867]; [1062; 11120]; [2378; 8811]; [5519; 7288]; [6575; 9778]; [5675; 7801]; [3330; 10197]; [6; 5597]; [847; 6967]; [4704; 11276]; [4976; 9520]; [3634; 4192]; [6869; 8720]; [2880; 5423]; [9701; 9825]; [5902; 6652]; [1702; 5387]; [184; 10945]; [1726; 9945]; [5650; 11312]; [4043; 5501]; [115; 6644]; [2763; 8221]; [3007; 10833]; [8361; 10959]; [395; 2497]; [6453; 6940]; [7848; 8896]; [4429; 8196]; [74; 9272]; [8563; 11093]; [1999; 8010]; [853; 6758]; [4800; 10583]; [2061; 8888]; [3709; 9038]; [8196; 9579]; [596; 5412]; [2901; 10033]; [5767; 6585]; [7041; 10466]; [1838; 3339]; [3672; 6123]; [4855; 10640]; [366; 8518]; [4010; 6118]; [10649; 11038]; [2332; 8011]; [5969; 10102]; [2762; 6841]; [5597; 8244]; [578; 3678]; [3203; 3551]; [1637; 5685]; [6212; 6827]; [3755; 8228]; [1427; 1903]; [1568; 7800]; [766; 6358]; [5031; 8772]; [857; 6476]; [46; 9452]; [7957; 9539]; [6823; 7920]; [10069; 10355]; [3130; 5143]; [5019; 10640]; [607; 8930]; [2159; 4454]; [1407; 9545]; [1501; 6928]; [5704; 7710]; [2707; 5979]; [4869; 11046]; [4704; 6283]; [91; 8821]; [4549; 9378]; [6562; 9461]; [745; 943]; [2925; 7370]; [27; 4864]; [5290; 5626]; [5412; 7309]; [1124; 10361]; [5071; 11180]; [6382; 7773]; [3582; 8808]; [9621; 9791]; [2696; 4285]; [2787; 4403]; [1986; 5815]; [5781; 10000]; [5313; 7680]; [6894; 8860]; [6675; 7244]; [2547; 7545]; [3132; 10450]; [1391; 1441]; [3099; 8058]; [2851; 8710]; [358; 4038]; [6858; 9580]; [5614; 7793]; [5144; 5400]; [825; 6133]; [3743; 9291]; [5341; 5914]; [3904; 10148]; [1540; 8330]; [1695; 5989]; [2094; 3254]; [1530; 11025]; [250; 3165]; [1535; 4953]; [2343; 3177]; [6314; 11560]; [3981; 9055]; [3197; 8192]; [5000; 5247]; [6099; 10817]; [9545; 9930]; [2452; 10667]; [4504; 11432]; [5161; 9487]; [54; 9238]; [3910; 4277]; [3536; 8008]; [4549; 7418]; [3339; 10877]; [6487; 10525]; [2991; 7161]; [3648; 5216]; [3861; 6263]; [4762; 11094]; [2398; 2860]; [2771; 8326]; [431; 4650]; [8739; 10597]; [3207; 11108]; [924; 1550]; [3234; 6515]; [1303; 10214]; [6530; 9067]; [6101; 6675]; [5562; 5643]; [3881; 8019]; [639; 7955]; [4247; 5144]; [2292; 8449]; [4783; 9288]; [8754; 11255]; [548; 8968]; [4865; 7408]; [8108; 10326]; [3942; 7891]; [632; 1499]; [100; 3890]; [141; 3891]; [7517; 9858]; [3059; 7049]; [380; 6159]; [1541; 6945]; [1658; 7530]; [4856; 6541]; [8438; 9679]; [253; 8269]; [1898; 3984]; [5509; 5608]; [1687; 2983]; [4550; 6434]; [10271; 11457]; [2016; 5144]; [7900; 8468]; [1398; 6263]; [529; 3599]; [3603; 7270]; [2858; 7116]; [3942; 6736]; [2230; 2629]; [10380; 11400]; [5151; 10222]; [1398; 9646]; [2007; 10693]; [1821; 8059]; [4491; 11115]; [1655; 10241]; [2693; 11371]; [6430; 11414]; [7077; 8781]; [702; 1433]; [1220; 3116]; [7233; 9294]; [1682; 11283]; [1773; 4985]; [465; 11319]; [6659; 9207]; [4854; 9073]; [8534; 8582]; [3573; 7404]; [1706; 6392]; [4290; 10428]; [3333; 7917]; [5045; 5608]; [3569; 4252]; [3360; 4078]; [1354; 5940]; [5073; 11039]; [3069; 3148]; [1422; 10016]; [8855; 10101]; [3313; 3508]; [4842; 7908]; [554; 10960]; [401; 3548]; [4656; 5274]; [6712; 6939]; [5313; 7493]; [482; 2224]; [2424; 9237]; [239; 3220]; [6436; 11205]; [3253; 8338]; [6498; 7919]; [887; 3441]; [4818; 6733]; [5924; 8586]; [884; 9559]; [7303; 10009]; [10818; 11171]; [5240; 11337]; [3657; 3668]; [4242; 6573]; [4646; 11352]; [7672; 11569]; [7318; 11071]; [623; 8471]; [2653; 11167]; [1536; 10653]; [2395; 6213]; [9802; 10739]; [4855; 8493]; [4773; 9592]; [2187; 8893]; [7820; 9188]; [158; 9805]; [991; 3390]; [87; 11093]; [2587; 3350]; [1962; 3298]; [9269; 10626]; [4601; 7795]; [3381; 3396]; [3883; 4546]; [4779; 9787]; [2291; 5459]; [4285; 8498]; [1210; 5356]; [5067; 9665]; [4069; 11317]; [3221; 9530]; [3627; 3802]; [4155; 6173]; [1039; 9446]; [1980; 7260]; [6328; 9177]; [700; 2810]; [2754; 10818]; [853; 3806]; [1598; 4714]; [3376; 9818]; [117; 6367]; [1163; 8169]; [3253; 10916]; [1039; 6413]; [5111; 8432]; [4550; 10085]; [2776; 5100]; [2283; 11583]; [8071; 8783]; [1774; 2846]; [6011; 7376]; [5893; 8818]; [1781; 7400]; [9809; 10324]; [8276; 8434]; [6371; 11102]; [1772; 3150]; [2269; 3956]; [555; 5438]; [9610; 10114]; [5625; 6559]; [4754; 7232]; [8680; 10180]; [2544; 9264]; [5337; 6277]; [10153; 10514]; [102; 10946]; [4424; 7478]; [6459; 10518]; [8043; 8963]; [6518; 11098]; [3705; 11174]; [5361; 11185]; [1521; 8011]; [3761; 8073]; [2773; 10413]; [8747; 10247]; [6186; 11298]; [3488; 3942]; [5072; 8049]; [3575; 8068]; [10397; 10443]; [2324; 2858]; [5847; 11051]; [1112; 9654]; [5444; 6874]; [729; 9889]; [4753; 6956]; [3502; 10414]; [4626; 10564]; [356; 1390]; [6988; 9303]; [4438; 11267]; [1840; 9053]; [697; 7318]; [1313; 9536]; [6576; 10298]; [416; 5578]; [10586; 11439]; [9779; 10407]; [823; 9120]; [6014; 8316]; [283; 5234]; [4801; 5842]; [4553; 5740]; [3822; 5292]; [432; 8740]; [6530; 10303]; [750; 11466]; [9461; 11414]; [4198; 4236]; [2988; 8449]; [1603; 2293]; [2420; 2515]; [1518; 10291]; [6308; 8389]; [2739; 10374]; [8209; 8985]; [4061; 7910]; [365; 1452]; [57; 3551]; [977; 2016]; [6054; 10724]; [6584; 7506]; [5493; 5961]; [9598; 10372]; [8882; 10956]; [1198; 1426]; [2495; 6257]; [3467; 4138]; [1531; 6739]; [2938; 10210]; [6678; 9770]; [4550; 10703]; [218; 651]; [572; 1149]; [2188; 2515]; [5109; 9354]; [5756; 6721]; [1256; 11580]; [3538; 4728]; [10337; 11061]; [5511; 6890]; [4518; 8132]; [3021; 5899]; [3014; 4728]; [5567; 9451]; [4693; 6443]; [5188; 10586]; [9152; 9854]; [4472; 4754]; [360; 3336]; [2820; 5616]; [10729; 11292]; [7365; 9545]; [300; 2504]; [7175; 9421]; [2636; 6438]; [4714; 7670]; [1942; 10753]; [7366; 10120]; [8009; 9997]; [8107; 11286]; [2350; 2819]; [6830; 7107]; [3769; 9333]; [2289; 4795]; [4763; 10945]; [3051; 6838]; [4299; 9498]; [1966; 2829]; [8029; 8370]; [3772; 10735]; [1837; 4112]; [2769; 10508]; [2117; 6381]; [4634; 8441]; [1303; 3424]; [6216; 10223]; [454; 8582]; [4528; 5012]; [240; 7310]; [1914; 2265]; [6979; 9458]; [5553; 10818]; [6546; 9576]; [7384; 10675]; [5833; 7425]; [8508; 10825]; [5767; 9057]; [6460; 6769]; [6629; 8298]; [1441; 8619]; [3332; 8527]; [2712; 6567]; [3018; 10057]; [2961; 9523]; [3049; 5206]; [2708; 9077]; [7157; 7636]; [1131; 11022]; [8335; 11055]; [7975; 10712]; [5281; 8790]; [7212; 10726]; [336; 10000]; [2891; 9134]; [1703; 3492]; [1073; 9512]; [2513; 2543]; [5956; 8555]; [1200; 9287]; [2633; 7563]; [8111; 9445]; [1439; 5139]; [1879; 11073]; [6435; 8001]; [3309; 9832]; [9200; 10163]; [1251; 5088]; [2061; 10555]; [2282; 9211]; [4245; 10685]; [8914; 10708]; [6486; 7185]; [1531; 4324]; [1658; 6351]; [4454; 7826]; [192; 5683]; [2093; 10443]; [6953; 10034]; [723; 5319]; [6258; 8489]; [6340; 10773]; [8057; 8808]; [1775; 3903]; [6624; 7499]; [2668; 8092]; [1644; 8523]; [434; 5566]; [231; 10899]; [5628; 8443]; [5339; 8340]; [485; 2121]; [3033; 10664]; [5428; 7631]; [5147; 11553]; [5558; 6923]; [4054; 9935]; [4188; 5963]; [9566; 11401]; [5524; 10722]; [7350; 8700]; [497; 5514]; [4699; 10989]; [7135; 7957]; [6259; 11292]; [7276; 7438]; [655; 3067]; [4220; 4346]; [2265; 6897]; [6158; 7453]; [365; 3493]; [303; 2615]; [5807; 6472]; [1418; 2302]; [1982; 4330]; [8680; 10611]; [1990; 8355]; [10161; 11587]; [680; 8200]; [5582; 7293]; [1443; 6681]; [9564; 10550]; [8325; 9107]; [726; 7040]; [9027; 9564]; [1940; 4454]; [4651; 10517]; [6172; 10892]; [1598; 11106]; [2990; 8627]; [2453; 9176]; [1069; 10762]; [374; 3555]; [2712; 4152]; [1533; 9176]; [4350; 5866]; [2116; 2586]; [2207; 9120]; [9772; 10822]; [6752; 7387]; [8899; 10668]; [4345; 8151]; [2297; 4849]; [8857; 10442]; [1887; 6671]; [3349; 3433]; [7490; 7501]; [10356; 10469]; [169; 1995]; [5345; 10682]; [2343; 3689]; [6233; 11144]; [3998; 11426]; [4488; 4645]; [4097; 4989]; [1748; 9895]; [8348; 9225]; [1039; 5234]; [3408; 7396]; [4676; 7325]; [5457; 7890]; [7162; 10826]; [937; 11373]; [1960; 10717]; [8159; 9703]; [781; 10079]; [2250; 8012]; [3800; 6873]; [5481; 9415]; [2619; 3156]; [284; 6240]; [6321; 10560]; [58; 9869]; [7429; 9076]; [7023; 7634]; [2269; 2777]; [6775; 7532]; [6529; 11263]; [1016; 3156]; [2974; 4286]; [1081; 3551]; [3887; 6468]; [3252; 5728]; [588; 10034]; [5490; 9127]; [3814; 4677]; [3372; 4332]; [3853; 11021]; [5744; 10175]; [6826; 7470]; [3618; 10400]; [2816; 9712]; [318; 532]; [2379; 2541]; [7019; 10494]; [107; 10111]; [314; 1544]; [6332; 7312]; [4401; 11011]; [7352; 10145]; [8410; 9298]; [1586; 4598]; [976; 9742]; [2091; 9429]; [185; 2073]; [1062; 2346]; [509; 11030]; [869; 4957]; [8926; 11285]; [2026; 7499]; [438; 5902]; [557; 898]; [6317; 8882]; [1400; 2341]; [428; 5214]; [8053; 11131]; [7181; 11202]; [1900; 2664]; [8436; 10869]; [372; 1118]; [1397; 8459]; [8776; 10937]; [8060; 11521]; [2852; 10466]; [6400; 7604]; [796; 6549]; [2425; 8901]; [5334; 7809]; [1796; 11359]; [7057; 9042]; [1988; 11529]; [4521; 8460]; [1997; 2223]; [1661; 8690]; [3725; 10970]; [6177; 8471]; [3190; 7428]; [6700; 8246]; [6166; 7558]; [3464; 9128]; [3904; 9400]; [6235; 8826]; [3701; 9071]; [5982; 9134]; [6264; 8066]; [230; 1011]; [6358; 11111]; [1874; 10087]; [3330; 3651]; [2239; 4358]; [2082; 10790]; [8348; 10998]; [6158; 10299]; [3795; 11335]; [1388; 6437]; [467; 9999]; [5653; 8851]; [1047; 6144]; [278; 678]; [2234; 7397]; [7774; 10911]; [3073; 11350]; [9198; 11353]; [19; 2669]; [48; 7571]; [3950; 5961]; [10450; 11503]; [3722; 6511]; [2192; 10554]; [8083; 9387]; [5127; 9909]; [2856; 4118]; [5495; 7861]; [2749; 9913]; [942; 8952]; [3569; 9652]; [847; 5682]; [1316; 10856]; [2522; 3491]; [1617; 5334]; [4390; 5105]; [971; 4405]; [4552; 9570]; [4633; 8246]; [2298; 11330]; [556; 11518]; [4293; 10807]; [7937; 8407]; [5530; 9925]; [1682; 6079]; [1455; 6854]; [3667; 4868]; [7490; 10347]; [1741; 6659]; [5003; 9627]; [1261; 2824]; [5379; 5942]; [3809; 10586]; [507; 8219]; [7616; 9116]; [5770; 8981]; [8249; 9059]; [8376; 10332]; [3097; 9791]; [2715; 8743]; [1724; 5150]; [2428; 3051]; [9977; 10636]; [1010; 5807]; [4394; 8206]; [8776; 11205]; [6453; 9388]; [1837; 2583]; [1055; 8209]; [6815; 9777]; [7153; 9772]; [4197; 10294]; [1561; 3816]; [5853; 8053]; [8678; 11020]; [712; 2558]; [3757; 6989]; [3413; 7179]; [8865; 10846]; [5537; 9510]; [679; 9965]; [4099; 7857]; [166; 3738]; [50; 6007]; [4460; 4638]; [2290; 10233]; [1251; 4714]; [7756; 11354]; [1663; 7102]; [3373; 10382]; [4586; 10604]; [9347; 10216]; [1007; 7737]; [7941; 10353]; [7512; 7961]; [3778; 5183]; [6383; 10096]; [8690; 11380]; [339; 2353]; [1849; 9709]; [1627; 4412]; [3641; 8103]; [2146; 2533]; [8221; 9589]; [3415; 6070]; [5378; 7544]; [1618; 3545]; [680; 5248]; [6184; 9105]; [248; 9755]; [246; 8928]; [4594; 6681]; [9117; 11043]; [2703; 4521]; [304; 5900]; [3690; 11378]; [710; 926]; [3137; 4224]; [2194; 5583]; [5865; 7258]; [3007; 4905]; [1232; 6111]; [6395; 7423]; [3494; 7652]; [1725; 9427]; [4526; 5584]; [3003; 4382]; [1038; 6245]; [7938; 8496]; [276; 2697]; [10246; 11136]; [2108; 5408]; [7195; 8388]; [5636; 10939]; [4098; 8705]; [5882; 7962]; [2805; 10409]; [1432; 6522]; [7533; 7629]; [797; 5028]; [2080; 6743]; [2606; 6035]; [6897; 7418]; [6608; 7315]; [2265; 3490]; [5023; 5235]; [2545; 5759]; [5210; 11477]; [7882; 11196]; [3217; 11292]; [1111; 3848]; [8356; 10298]; [3300; 10014]; [9571; 10566]; [1073; 4495]; [479; 10172]; [8414; 10653]; [288; 778]; [5952; 6048]; [191; 7261]; [1182; 4438]; [4795; 6135]; [505; 1944]; [7939; 11299]; [1181; 4967]; [8242; 8856]; [6067; 9189]; [1836; 6359]; [1646; 6235]; [5932; 6520]; [1587; 2622]; [8966; 11516]; [5281; 6001]; [745; 8197]; [9040; 9775]; [2202; 5369]; [5672; 9040]; [9135; 10012]; [2626; 6636]; [322; 4869]; [1411; 9751]; [2192; 3146]; [827; 3284]; [5765; 8450]; [2573; 6221]; [4304; 8126]; [1102; 5209]; [2313; 5358]; [5616; 8327]; [626; 2247]; [3611; 7381]; [3557; 10528]; [2499; 4959]; [3514; 7448]; [6731; 11397]; [8438; 8744]; [2022; 5559]; [505; 7555]; [8557; 9375]; [7595; 10684]; [2641; 10677]; [4294; 11171]; [4382; 6854]; [1181; 7545]; [6090; 7055]; [9636; 9782]; [8896; 9972]; [1294; 10640]; [2345; 6370]; [3716; 10184]; [1536; 3757]; [2064; 10292]; [3786; 8671]; [512; 4188]; [5498; 6362]; [8887; 11357]; [195; 2037]; [1905; 9481]; [265; 1278]; [4024; 11468]; [2157; 10456]; [6799; 8656]; [5488; 9057]; [1716; 5795]; [5021; 10345]; [8032; 9530]; [7107; 9940]; [1747; 9245]; [441; 5826]; [10525; 11169]; [10585; 11220]; [4601; 10698]; [4945; 10508]; [1378; 6904]; [7530; 10982]; [3229; 6659]; [615; 11082]; [1119; 1725]; [2449; 9702]; [6869; 9021]; [1870; 9995]; [2791; 6433]; [5466; 6423]; [175; 10029]; [1706; 2424]; [3225; 6890]; [8510; 11383]; [4938; 7435]; [9255; 9285]; [5559; 9997]; [4776; 8605]; [2569; 5273]; [6121; 11198]; [6897; 11419]; [7772; 10865]; [7423; 10711]; [1979; 6905]; [6743; 10952]; [2182; 7264]; [8348; 10274]; [1557; 10595]; [587; 1463]; [1192; 9908]; [4892; 10069]; [5286; 9996]; [1024; 11263]; [532; 5139]; [8098; 9695]; [6350; 10095]; [2324; 3533]; [5190; 6501]; [1394; 10015]; [592; 8573]; [10050; 10256]; [296; 7299]; [2610; 3338]; [270; 6078]; [8419; 10460]; [4811; 6855]; [3061; 6428]; [5683; 6784]; [1786; 3076]; [4368; 6285]; [538; 3799]; [3865; 5664]; [3560; 11444]; [3627; 6250]; [982; 11360]; [7642; 7735]; [2506; 9000]; [10123; 10892]; [4299; 5367]; [2284; 3703]; [1626; 5423]; [1184; 5078]; [2462; 5695]; [2343; 4283]; [4698; 8267]; [3335; 9232]; [7036; 9618]; [4018; 8508]; [4006; 11157]; [251; 10508]; [4508; 5891]; [5294; 6800]; [6438; 11389]; [1899; 10658]; [4315; 6250]; [3542; 9710]; [6682; 7585]; [2081; 3724]; [5224; 5280]; [1769; 8333]; [1757; 6818]; [5531; 9372]; [455; 10688]; [5806; 11297]; [256; 4062]; [1317; 6896]; [1530; 7943]; [3338; 5342]; [4487; 10275]; [5385; 5763]; [7466; 10676]; [403; 10124]; [6530; 6790]; [4291; 10336]; [10330; 10565]; [7467; 7868]; [192; 9123]; [1086; 6367]; [1668; 3339]; [2051; 9493]; [4544; 6995]; [3445; 7841]; [1180; 10166]; [8210; 8326]; [6925; 10702]; [2754; 7923]; [4682; 10342]; [5308; 9084]; [5567; 10476]; [5379; 11179]; [3103; 5044]; [761; 11121]; [2631; 5988]; [602; 6146]; [5896; 6221]; [230; 4288]; [6449; 8090]; [10094; 10796]; [9898; 10884]; [6756; 8018]; [1020; 5346]; [502; 3663]; [1334; 6445]; [717; 11172]; [7243; 11519]; [4036; 8258]; [4624; 8428]; [711; 10603]; [5974; 11365]; [6786; 7079]; [5320; 6411]; [4881; 9747]; [2285; 8360]; [6185; 11585]; [5647; 8526]; [2883; 9218]; [2970; 5430]; [1755; 8545]; [5870; 7228]; [3038; 3844]; [6207; 10785]; [4126; 4337]; [41; 6994]; [6080; 7977]; [787; 8504]; [2838; 5661]; [8880; 10325]; [7445; 11222]; [8873; 9154]; [340; 11198]; [5534; 6905]; [1802; 7960]; [4262; 9486]; [5038; 9707]; [1583; 8596]; [9048; 10848]; [2515; 7078]; [4471; 7381]; [1893; 10707]; [685; 4413]; [6024; 9923]; [4195; 5231]; [5967; 9389]; [4260; 6380]; [20; 11378]; [6524; 7994]; [4636; 8357]; [1238; 6282]; [6083; 10503]; [6556; 6751]; [7241; 10237]; [71; 11316]; [3617; 7627]; [4651; 6386]; [4238; 10189]; [3035; 8403]; [255; 1045]; [1786; 6272]; [4126; 9948]; [1126; 7165]; [2466; 9414]; [1831; 8674]; [3737; 9614]; [2961; 2977]; [2049; 3649]; [3852; 7120]; [4048; 4780]; [7279; 8435]; [2083; 2479]; [2833; 7895]; [2695; 7961]; [3457; 4312]; [1738; 9614]; [5685; 6269]; [10459; 11004]; [122; 5215]; [5781; 6731]; [4576; 10534]; [1739; 6052]; [1147; 1976]; [4409; 4944]; [5284; 9308]; [8854; 10177]; [4502; 11524]; [5247; 9426]; [4218; 5349]; [11; 7077]; [1667; 11252]; [7083; 8092]; [512; 8002]; [2901; 11570]; [10678; 10711]; [4482; 9744]; [6131; 8584]; [7368; 7702]; [5506; 7034]; [4456; 7742]; [6414; 8872]; [318; 939]; [4485; 6982]; [366; 10055]; [1744; 2208]; [7812; 8093]; [176; 3515]; [4200; 6998]; [2832; 9871]; [6533; 7251]; [1495; 4887]; [7185; 11378]; [577; 2361]; [364; 4697]; [8982; 10870]; [2072; 4898]; [945; 3696]; [3661; 3687]; [4626; 6059]; [2625; 8265]; [3812; 9518]; [6587; 10870]; [8161; 8627]; [5425; 6449]; [8627; 9366]; [413; 3054]; [1008; 11565]; [7675; 11363]; [1382; 6299]; [506; 7382]; [2032; 8101]; [5953; 9951]; [4487; 9283]; [4645; 10623]; [2083; 10318]; [3676; 10761]; [4359; 10037]; [3079; 6341]; [1957; 5483]; [2984; 9487]; [6968; 9407]; [1209; 10693]; [6503; 11522]; [6086; 11419]; [1855; 8589]; [3446; 8205]; [3475; 8943]; [7805; 9500]; [9357; 9942]; [7110; 8709]; [5711; 9263]; [2108; 6002]; [8102; 9494]; [2283; 4313]; [6835; 10167]; [5245; 6989]; [849; 5812]; [2463; 2968]; [4214; 6249]; [2001; 2348]; [1660; 8471]; [6510; 7374]; [10159; 10980]; [6177; 11106]; [6110; 9884]; [2376; 7106]; [1182; 4682]; [443; 7726]; [1742; 9220]; [2924; 7877]; [5513; 8847]; [5224; 8744]; [626; 10062]; [1989; 7599]; [5072; 8350]; [1738; 3816]; [9048; 10661]; [7611; 8479]; [5632; 7226]; [2075; 5838]; [3448; 4063]; [3662; 7964]; [6864; 10881]; [3932; 9545]; [1796; 9806]; [1788; 3529]; [4798; 5495]; [2962; 3796]; [785; 9718]; [2965; 3313]; [979; 10715]; [9881; 10985]; [9339; 10436]; [3864; 5065]; [6283; 7344]; [1224; 10519]; [1436; 1542]; [6666; 10492]; [38; 5704]; [3209; 7056]; [2394; 11044]; [2263; 7363]; [6502; 8556]; [4297; 10932]; [858; 1686]; [954; 8564]; [4572; 6441]; [1511; 9421]; [955; 11418]; [666; 4899]; [3121; 6835]; [3628; 8329]; [4130; 9479]; [4990; 7893]; [1920; 11511]; [4059; 4351]; [2314; 4268]; [3157; 5711]; [939; 9380]; [5108; 9834]; [2592; 9874]; [10472; 10648]; [8631; 10857]; [384; 8569]; [7748; 10015]; [7; 6367]; [6297; 11133]; [2892; 7133]; [3024; 3088]; [2580; 5326]; [501; 6121]; [3106; 4618]; [5141; 8412]; [1490; 7389]; [6728; 10538]; [9118; 11325]; [3664; 6831]; [5935; 6206]; [8579; 10293]; [2884; 3458]; [4850; 8613]; [2508; 10526]; [1331; 9961]; [1417; 2565]; [574; 1122]; [6404; 8347]; [8706; 9287]; [5621; 6955]; [6247; 9861]; [8513; 8892]; [452; 3576]; [6639; 6709]; [2783; 9418]; [2571; 11225]; [3927; 7591]; [8018; 8132]; [2758; 11051]; [1344; 6409]; [4515; 7761]; [1029; 5085]; [10003; 11085]; [1784; 10845]; [6071; 10574]; [8099; 10191]; [1998; 2668]; [9432; 11269]; [6906; 11375]; [29; 2877]; [4803; 7612]; [1455; 4146]; [4080; 11189]; [2117; 3299]; [1681; 10316]; [5848; 9189]; [5626; 10308]; [10853; 11413]; [8119; 8564]; [2257; 2555]; [6470; 8943]; [1210; 7698]; [9823; 11275]; [8928; 9642]; [3918; 7074]; [8181; 8661]; [304; 11568]; [182; 4223]; [273; 3587]; [5780; 6961]; [6766; 8712]; [3562; 4968]; [482; 7144]; [4747; 9558]; [4064; 10282]; [9265; 10166]; [6423; 7592]; [2035; 10440]; [7396; 8327]; [7332; 10786]; [2782; 9142]; [2001; 2161]; [4707; 9378]; [2899; 3311]; [1063; 3864]; [1164; 3916]; [4889; 8860]; [2380; 10825]; [3803; 8413]; [902; 8642]; [4494; 5298]; [5261; 7685]; [409; 2293]; [7007; 10622]; [1900; 10373]; [2982; 7668]; [900; 8946]; [1084; 5091]; [4953; 6751]; [53; 3597]; [3814; 8198]; [4352; 11257]; [390; 738]; [8142; 8682]; [993; 1940]; [9076; 9489]; [4938; 9102]; [5834; 9425]; [757; 5635]; [5488; 6536]; [4940; 9148]; [3216; 9942]; [3971; 9286]; [4645; 8476]; [882; 7212]; [3375; 5468]; [572; 2068]; [694; 1499]; [2022; 2233]; [4769; 9451]; [72; 5128]; [8318; 10197]; [529; 8787]; [746; 908]; [3638; 9261]; [3674; 4754]; [85; 5363]; [4489; 10565]; [2622; 3137]; [7597; 10814]; [5190; 8168]; [4849; 7875]; [5935; 6824]; [3295; 11524]; [1676; 8362]; [7330; 8780]; [2952; 8152]; [2740; 10713]; [1539; 11282]; [985; 3526]; [4997; 5494]; [2256; 7136]; [6676; 7209]; [7118; 7554]; [6548; 7963]; [1634; 5103]; [1332; 10400]; [3433; 6920]; [267; 4414]; [547; 6683]; [3092; 4375]; [9189; 9500]; [6608; 9145]; [4485; 6258]; [758; 4651]; [1773; 7140]; [5855; 9847]; [1748; 8773]; [4549; 11346]; [7375; 10751]; [7036; 11285]; [8247; 10680]; [4973; 6197]; [8713; 9921]; [270; 3557]; [2664; 7469]; [8512; 8884]; [7674; 7785]; [9355; 10327]; [6063; 10900]; [4384; 9185]; [3534; 4319]; [1359; 5406]; [3224; 5591]; [309; 6114]; [9201; 9860]; [890; 5867]; [4341; 9488]; [1817; 5503]; [2131; 11520]; [574; 4318]; [3621; 6166]; [2843; 2866]; [1874; 3004]; [4083; 7917]; [3248; 10499]; [910; 3486]; [9342; 11189]; [2778; 5854]; [4522; 7964]; [4763; 11059]; [105; 8162]; [5785; 7549]; [4174; 10664]; [1347; 7624]; [5674; 10916]; [1056; 6694]; [3461; 8513]; [4920; 8010]; [806; 5765]; [7404; 8432]; [532; 5196]; [1805; 5469]; [1988; 10057]; [670; 10041]; [10165; 10825]; [2083; 10294]; [767; 6941]; [7546; 7734]; [1672; 2846]; [4091; 10787]; [3468; 5146]; [2387; 11459]; [6273; 10090]; [2065; 2548]; [5903; 9059]; [1972; 6521]; [887; 8174]; [5543; 10244]; [4434; 8093]; [5363; 8556]; [3207; 3277]; [1620; 10950]; [218; 5571]; [8039; 11400]; [720; 6721]; [9529; 10210]; [935; 4431]; [3147; 6609]; [7011; 7925]; [5292; 6811]; [8401; 9537]; [1861; 4596]; [10171; 10616]; [5415; 11348]; [6435; 7765]; [8608; 10015]; [4229; 6533]; [1238; 2338]; [1420; 3318]; [2263; 4761]; [7149; 9737]; [5750; 11045]; [9693; 10210]; [5429; 11404]; [4206; 8242]; [850; 4858]; [9569; 9585]; [6396; 11570]; [7501; 10569]; [508; 10756]; [3218; 7549]; [917; 9463]; [5384; 8628]; [8909; 10478]; [1502; 5952]; [122; 4304]; [2680; 9371]; [311; 7209]; [1219; 9801]; [3485; 8078]; [2019; 7410]; [2117; 4535]; [8068; 9081]; [5719; 8325]; [5667; 8135]; [3571; 7071]; [997; 1471]; [3729; 7657]; [2367; 11476]; [2856; 8257]; [4602; 4778]; [2893; 10768]; [1324; 9221]; [3478; 7257]; [8860; 10185]; [1692; 11337]; [1198; 4386]; [3130; 3541]; [327; 5059]; [2870; 9094]; [4005; 10157]; [3286; 4054]; [1637; 10849]; [698; 3282]; [3184; 3777]; [2946; 11533]; [7361; 10508]; [7294; 9286]; [7664; 8065]; [7386; 11504]; [1913; 3550]; [2322; 7919]; [3874; 8361]; [5274; 10661]; [5976; 7735]; [5456; 9389]; [6040; 6407]; [2086; 8581]; [1489; 4161]; [3882; 10881]; [153; 2785]; [1233; 9833]; [2141; 5255]; [7336; 10986]; [5898; 5950]; [366; 6461]; [2389; 8740]; [6401; 9954]; [4586; 9132]; [7424; 10052]; [2694; 5589]; [3124; 11589]; [8380; 8928]; [3123; 11364]; [793; 9130]; [230; 9956]; [6665; 10939]; [7262; 8943]; [688; 4418]; [605; 9079]; [5015; 7710]; [6725; 8738]; [1338; 6220]; [5955; 6053]; [1802; 4634]; [1366; 7487]; [2799; 3511]; [1739; 3531]; [1372; 8433]; [1437; 3166]; [2954; 3799]; [989; 8668]; [4631; 4687]; [1399; 10229]; [895; 6000]; [9761; 10023]; [112; 4608]; [1679; 6082]; [2952; 6355]; [2503; 9003]; [9703; 10018]; [1726; 9311]; [4184; 10010]; [5061; 11037]; [10; 1298]; [5486; 9523]; [5362; 7767]; [10116; 10372]; [5210; 8127]; [5361; 7542]; [1505; 3835]; [4180; 10241]; [4300; 8091]; [1344; 2197]; [57; 3746]; [554; 10968]; [2801; 5785]; [6034; 10267]; [3947; 9666]; [4360; 5863]; [3603; 9856]; [2330; 3167]; [2204; 3994]; [6817; 7872]; [6345; 8816]; [6344; 10843]; [2485; 3455]; [2442; 6791]; [6242; 10566]; [4406; 11119]; [366; 4851]; [3752; 10329]; [7114; 11249]; [8755; 9474]; [6549; 8996]; [5993; 6829]; [1881; 5411]; [5463; 7795]; [2013; 7782]; [790; 3866]; [2125; 8023]; [392; 3039]; [2905; 8363]; [1133; 4205]; [4209; 10955]; [8071; 9946]; [6393; 11085]; [2310; 3989]; [216; 3752]; [2650; 4811]; [2113; 6858]; [3582; 11207]; [1117; 2921]; [3792; 8573]; [2990; 7131]; [3267; 9883]; [7398; 9099]; [3175; 10294]; [656; 7407]; [3947; 8861]; [4061; 4267]; [5913; 7600]; [3162; 9308]; [6584; 10279]; [3346; 5453]; [737; 9466]; [4469; 5001]; [3820; 10971]; [6560; 9104]; [736; 9995]; [5309; 9556]; [4970; 5926]; [3150; 4760]; [6489; 10392]; [1544; 8219]; [4097; 6526]; [3968; 7836]; [8419; 8720]; [5864; 8088]; [2435; 8198]; [8226; 9079]; [2004; 9143]; [9493; 9537]; [6571; 8889]; [5050; 8514]; [4704; 7877]; [4917; 8924]; [4636; 8682]; [3985; 11573]; [960; 10046]; [2072; 3800]; [462; 9769]; [1243; 10334]; [3796; 8641]; [1060; 10627]; [4040; 9001]; [5647; 8396]; [5223; 6348]; [2069; 6131]; [981; 11273]; [8336; 9193]; [4304; 9232]; [1666; 8343]; [451; 11458]; [379; 9892]; [10556; 11262]; [3469; 6152]; [1015; 7070]; [9064; 9373]; [4361; 6733]; [534; 10180]; [1177; 4395]; [678; 6926]; [1870; 8523]; [366; 5119]; [8025; 10620]; [681; 9826]; [5882; 7458]; [423; 3374]; [6090; 8161]; [3232; 5808]; [2702; 9026]; [9299; 11468]; [8950; 11314]; [3819; 5753]; [444; 10263]; [2624; 10274]; [5989; 10711]; [1980; 6008]; [7768; 9624]; [4704; 5917]; [1569; 4222]; [3193; 6230]; [4774; 5158]; [5142; 9526]; [1009; 9483]; [384; 3015]; [6669; 7437]; [287; 9498]; [3995; 4639]; [4234; 6907]; [230; 2548]; [3986; 6805]; [1985; 2595]; [4205; 11050]; [1657; 7425]; [6568; 6981]; [1480; 4530]; [9673; 9965]; [1087; 8211]; [1390; 1604]; [2415; 8945]; [1957; 7313]; [1671; 6727]; [2442; 6604]; [1795; 2821]; [1456; 3355]; [3567; 11143]; [5936; 6889]; [3448; 9731]; [5617; 10327]; [5082; 7539]; [49; 3267]; [11163; 11377]; [6619; 10302]; [4365; 5646]; [7348; 9199]; [720; 8575]; [9381; 9914]; [389; 8970]; [4044; 6005]; [1757; 6851]; [692; 6527]; [3982; 5127]; [3400; 5903]; [4917; 9542]; [5698; 10107]; [1894; 2426]; [1348; 5111]; [3583; 4829]; [5097; 8197]; [1807; 3181]; [6251; 7058]; [738; 6121]; [9304; 9852]; [1142; 3730]; [553; 9751]; [2514; 10398]; [1831; 11122]; [4037; 5184]; [1179; 6995]; [2509; 10054]; [7020; 9491]; [7431; 8271]; [1667; 9967]; [2571; 7899]; [2320; 4116]; [291; 11444]; [3035; 6313]; [3468; 9578]; [6556; 11427]; [1534; 7344]; [9572; 10956]; [4555; 7217]; [2406; 3109]; [2287; 5861]; [3345; 4260]; [4150; 9383]; [657; 9700]; [6739; 7347]; [6541; 7362]; [7191; 10662]; [6915; 8512]; [2584; 8484]; [4953; 10646]; [3308; 8515]; [1770; 5527]; [2150; 5748]; [1611; 11132]; [718; 3910]; [10950; 11403]; [2431; 10871]; [3548; 4969]; [991; 9172]; [3575; 9044]; [3642; 11020]; [3105; 10815]; [6226; 8640]; [705; 2924]; [7119; 9446]; [3975; 9917]; [3569; 9229]; [1992; 11174]; [7395; 7809]; [6276; 11386]; [4029; 10153]; [5876; 7480]; [7335; 11141]; [6265; 10473]; [3619; 5559]; [9229; 9812]; [2846; 3357]; [263; 8591]; [3372; 9065]; [2815; 6673]; [3429; 8818]; [103; 7555]; [1319; 8048]; [6083; 11341]; [7439; 7707]; [5047; 10257]; [2435; 10589]; [4517; 7059]; [3488; 7146]; [2610; 8900]; [10465; 11307]; [59; 10639]; [3478; 4923]; [2932; 8362]; [582; 3998]; [6497; 8887]; [3197; 9599]; [5005; 6998]; [2975; 4302]; [6190; 11588]; [5806; 8215]; [831; 10337]; [9102; 10767]; [2128; 8752]; [1692; 9353]; [5026; 8225]; [2218; 4481]; [1380; 1884]; [4375; 6952]; [2288; 3722]; [3781; 6213]; [668; 9003]; [6858; 7149]; [1335; 1360]; [4054; 11448]; [2607; 8578]; [4611; 5889]; [6347; 8138]; [4263; 8589]; [6809; 9889]; [3380; 7747]; [8309; 9387]; [1590; 8645]; [3825; 8363]; [184; 2366]; [6309; 8785]; [5777; 8924]; [5128; 10730]; [6439; 8077]; [7743; 9915]; [1669; 10631]; [1638; 2650]; [1101; 4697]; [2045; 6192]; [2778; 3333]; [3533; 4929]; [5145; 11084]; [6148; 8278]; [4307; 7733]; [4644; 7126]; [7856; 8479]; [4776; 6491]; [6921; 7447]; [4555; 11218]; [1415; 2763]; [1584; 4292]; [563; 10656]; [4820; 6039]; [2123; 7953]; [1495; 4220]; [5044; 11382]; [555; 2844]; [10585; 11334]; [8780; 11200]; [2801; 11022]; [10884; 11401]; [5541; 8401]; [460; 9373]; [832; 2563]; [4321; 4756]; [5092; 11049]; [2180; 11089]; [8832; 10609]; [2144; 2764]; [1767; 2814]; [6371; 8858]; [6159; 10665]; [7300; 11573]; [10352; 11513]; [7236; 7616]; [2289; 4616]; [5059; 5624]; [1475; 6577]; [146; 2208]; [6491; 10091]; [755; 3255]; [9471; 10717]; [1785; 10940]; [515; 7178]; [4173; 4484]; [10503; 11278]; [125; 6242]; [68; 9872]; [412; 9682]; [1441; 3179]; [2394; 8954]; [6820; 11471]; [7340; 7565]; [1643; 10483]; [153; 5257]; [4979; 9428]; [2804; 4099]; [8939; 11206]; [2671; 10925]; [2795; 6265]; [8090; 9948]; [1481; 8620]; [2921; 8067]; [9017; 9584]; [3550; 11244]; [3607; 5362]; [1117; 11541]; [5305; 11291]; [4852; 10003]; [8770; 8926]; [5318; 9244]; [1607; 4006]; [6154; 9516]; [1269; 8148]; [321; 1993]; [8695; 9691]; [1190; 8040]; [4032; 10614]; [5209; 11179]; [1348; 2964]; [1098; 9205]; [1246; 9103]; [7727; 10431]; [406; 11341]; [3959; 4659]; [4179; 6877]; [378; 10047]; [1563; 8221]; [1489; 5828]; [365; 8307]; [1676; 5654]; [2266; 2487]; [4786; 11234]; [5758; 8361]; [1272; 10674]; [5004; 10373]; [6931; 11436]; [675; 6254]; [1239; 1866]; [4043; 10372]; [5411; 8253]; [2880; 7261]; [7236; 9039]; [8956; 10755]; [5802; 11292]; [1053; 2615]; [2689; 6912]; [5151; 10019]; [9328; 9580]; [3905; 7405]; [5618; 5698]; [857; 6086]; [3179; 7678]; [1441; 4602]; [8072; 9661]; [4961; 6862]; [1568; 4377]; [3175; 10188]; [8042; 10950]; [4675; 10440]; [9750; 11151]; [2920; 3253]; [9505; 11320]; [4987; 8460]; [5453; 9953]; [5854; 11051]; [27; 10890]; [868; 11506]; [2520; 2730]; [5006; 6231]; [56; 3714]; [1890; 8750]; [3197; 8607]; [7056; 9579]; [1361; 2744]; [5003; 5179]; [7466; 11140]; [16; 9950]; [5036; 10954]; [3990; 9182]; [227; 7918]; [3367; 3541]; [8674; 10237]; [168; 4305]; [6986; 10688]; [3184; 3834]; [668; 11044]; [7645; 10324]; [6643; 8070]; [2428; 5019]; [2310; 6461]; [166; 6861]; [1059; 7667]; [622; 7666]; [8311; 8872]; [10141; 10756]; [4086; 9240]; [3205; 11477]; [5173; 6879]; [7773; 11448]; [5792; 8614]; [2456; 3253]; [5757; 10313]; [1296; 3823]; [7966; 8056]; [1736; 4095]; [1708; 8463]; [1152; 10460]; [2422; 7806]; [111; 9032]; [4469; 7473]; [2180; 10902]; [2423; 8408]; [274; 4300]; [4120; 9948]; [8022; 8338]; [6305; 10303]; [2698; 9552]; [6764; 8373]; [2528; 4445]; [6791; 10196]; [356; 2797]; [7458; 9693]; [5144; 7238]; [4710; 10918]; [1231; 2997]; [3562; 8839]; [3245; 6688]; [1374; 1770]; [4049; 11586]; [190; 4198]; [7130; 10012]; [3706; 8968]; [530; 856]; [2026; 9280]; [4734; 9410]; [5078; 9220]; [10109; 10413]; [1902; 5272]; [527; 10384]; [2397; 5251]; [11082; 11148]; [7935; 7938]; [1798; 4168]; [32; 9624]; [2329; 10220]; [1266; 4307]; [5309; 7840]; [1363; 7623]; [544; 5076]; [4186; 7511]; [2228; 7135]; [8394; 9391]; [242; 3957]; [8602; 10094]; [102; 7360]; [2942; 9107]; [3408; 10600]; [5679; 9975]; [4342; 4991]; [794; 7853]; [5238; 9478]; [5176; 8600]; [1064; 3018]; [7204; 11223]; [5544; 7306]; [1590; 8726]; [2500; 4975]; [10865; 11456]; [4275; 7152]; [4609; 6274]; [194; 883]; [5799; 11208]; [8930; 8997]; [432; 9342]; [4384; 7095]; [10770; 11569]; [5099; 9292]; [3793; 10037]; [2982; 7351]; [2041; 3121]; [463; 1458]; [3847; 10273]; [6221; 6363]; [3222; 10221]; [4316; 9031]; [9701; 11476]; [6210; 8456]; [3758; 4539]; [4558; 8564]; [4598; 11346]; [5457; 6906]; [1169; 9958]; [2778; 3764]; [5437; 8883]; [8759; 10404]; [951; 4780]; [6734; 8052]; [2274; 11586]; [5209; 10187]; [658; 7941]; [4198; 10099]; [3119; 6659]; [490; 2880]; [1994; 3251]; [1923; 4539]; [5291; 8657]; [6960; 8930]; [2345; 2727]; [7958; 11415]; [7607; 10434]; [5926; 7892]; [2944; 7193]; [6989; 11553]; [5554; 6034]; [6387; 6789]; [209; 6371]; [6020; 8658]; [2534; 5982]; [2748; 3467]; [1492; 10745]; [6297; 10629]; [1340; 6941]; [1185; 9282]; [5665; 7154]; [6625; 9182]; [651; 2932]; [6588; 9300]; [1486; 2979]; [2297; 5638]; [5504; 8899]; [896; 9529]; [6457; 7504]; [235; 7568]; [2692; 6167]; [3975; 7128]; [5523; 10080]; [7758; 9044]; [1968; 3103]; [350; 11463]; [1338; 2707]; [3063; 11183]; [1256; 10222]; [1932; 6829]; [2687; 5419]; [10550; 10750]; [218; 6059]; [819; 7188]; [4196; 8416]; [8955; 11365]; [2981; 11531]; [744; 8734]; [6212; 6518]; [2540; 8001]; [4929; 11569]; [1049; 9720]; [75; 5350]; [3908; 11517]; [166; 4714]; [4935; 9105]; [1855; 11281]; [3720; 5804]; [6987; 9116]; [2374; 9402]; [1063; 6393]; [3843; 7335]; [4022; 5388]; [1437; 8297]; [7357; 11278]; [129; 8215]; [3152; 9669]; [2242; 7004]; [497; 505]; [3167; 3561]; [11544; 11557]; [215; 11372]; [709; 1327]; [4170; 6390]; [4875; 7145]; [1428; 4397]; [3193; 5132]; [7957; 8425]; [705; 1558]; [1360; 2950]; [3218; 6882]; [6798; 8439]; [2634; 6831]; [4874; 6893]; [1424; 3874]; [5837; 6186]; [5742; 9332]; [10281; 10817]; [3249; 5414]; [7848; 10360]; [6795; 8141]; [6081; 6546]; [7765; 8605]; [971; 9032]; [4926; 10466]; [8348; 11437]; [2617; 8355]; [4611; 4978]; [3427; 7406]; [9533; 9611]; [5797; 10170]; [7574; 9010]; [2825; 6025]; [1467; 6580]; [10737; 11218]; [723; 5116]; [1580; 4013]; [4169; 8393]; [6743; 7577]; [5773; 7490]; [8486; 10216]; [78; 655]; [425; 10562]; [1079; 9854]; [6209; 10272]; [1133; 9336]; [1974; 3536]; [6213; 11145]; [7789; 9729]; [134; 7353]; [1440; 3602]; [7288; 11433]; [662; 6718]; [1851; 2382]; [3850; 5765]; [2074; 11287]; [7752; 9847]; [8101; 10001]; [128; 6784]; [3588; 8239]; [1444; 10891]; [1874; 9721]; [11183; 11281]; [3086; 6308]; [1467; 2392]; [5207; 8368]; [997; 6415]; [4574; 8455]; [680; 4264]; [1614; 5071]; [2799; 3999]; [436; 11451]; [1869; 9727]; [33; 10280]; [933; 5841]; [7495; 8097]; [4076; 7397]; [3140; 3511]; [984; 8058]; [2207; 3306]; [4158; 8927]; [8027; 11341]; [1547; 10615]; [8886; 10284]; [5770; 6387]; [10599; 10829]; [2572; 10759]; [541; 7838]; [6052; 6450]; [536; 1078]; [4579; 4611]; [8; 10758]; [2718; 7551]; [3523; 5504]; [5327; 6167]; [8599; 9823]; [1609; 3922]; [1896; 3198]; [719; 7551]; [5380; 9211]; [6996; 7194]; [2525; 10539]; [486; 10009]; [3471; 7973]; [8278; 8684]; [5540; 10597]; [1297; 6252]; [1923; 9158]; [806; 8644]; [5710; 8564]; [1978; 2449]; [4182; 7018]; [4839; 5073]; [3789; 4283]; [9472; 9603]; [143; 3604]; [9568; 10065]; [6886; 8123]; [10184; 11502]; [4890; 5011]; [1825; 8219]; [9442; 10111]; [2553; 5016]; [2521; 5478]; [2438; 3723]; [4914; 6536]; [1894; 9517]; [6723; 6789]; [439; 5975]; [1776; 2291]; [4354; 8010]; [3366; 10350]; [2976; 3025]; [3072; 9903]; [7402; 10460]; [1428; 10626]; [2424; 5895]; [361; 7223]; [4041; 6732]; [3817; 7778]; [4868; 9170]; [1943; 9005]; [3125; 9914]; [3840; 5695]; [6774; 7077]; [3035; 10371]; [4145; 9714]; [10342; 11283]; [323; 11253]; [2162; 10971]; [2903; 7973]; [3591; 5341]; [6108; 8155]; [7775; 8355]; [9333; 11241]; [5262; 6414]; [7836; 9008]; [3770; 4525]; [6851; 8613]; [5163; 9818]; [870; 5356]; [1080; 2722]; [61; 9913]; [140; 7762]; [308; 9790]; [3563; 9335]; [6279; 9326]; [3497; 4551]; [859; 10832]; [2972; 8867]; [352; 2922]; [3720; 7040]; [2758; 7595]; [1512; 11397]; [6200; 9972]; [2427; 8020]; [1563; 5700]; [14; 9693]; [325; 7111]; [4122; 7205]; [468; 3255]; [2589; 5315]; [5357; 5496]; [601; 6228]; [6473; 8037]; [5270; 6251]; [3357; 4140]; [1239; 5761]; [1399; 3764]; [5199; 7539]; [861; 9750]; [1916; 2189]; [804; 6183]; [1263; 10669]; [886; 2051]; [3680; 9869]; [540; 1414]; [706; 9031]; [257; 10925]; [1193; 9149]; [3997; 4823]; [3436; 6476]; [7818; 9475]; [5985; 11457]; [5923; 10579]; [1069; 10022]; [1; 3765]; [3658; 7986]; [5977; 10061]; [194; 1127]; [6857; 10605]; [2055; 4576]; [6874; 7576]; [1144; 1686]; [2916; 10008]; [2142; 9833]; [5634; 10045]; [9545; 11207]; [113; 4329]; [2977; 10634]; [23; 5567]; [1136; 10843]; [5996; 7428]; [2233; 6918]; [3219; 3751]; [7274; 8799]; [2009; 7210]; [1381; 7641]; [3437; 5142]; [1947; 4080]; [323; 2072]; [2624; 3541]; [3897; 10230]; [5304; 9537]; [8069; 10201]; [10522; 10556]; [3211; 6492]; [6292; 10580]; [4356; 7519]; [3385; 10994]; [1986; 11548]; [2120; 8330]; [2976; 9254]; [1962; 10373]; [178; 11116]; [1045; 10701]; [7024; 7469]; [6499; 8779]; [2672; 5810]; [5275; 7644]; [2503; 10727]; [9201; 10592]; [261; 9838]; [5094; 5354]; [9701; 10915]; [954; 1888]; [517; 1133]; [1325; 9937]; [7920; 8923]; [3493; 8433]; [3436; 7899]; [7240; 9164]; [1297; 8643]; [2875; 3136]; [20; 10126]; [3396; 8500]; [1728; 4665]; [4718; 9389]; [107; 6338]; [2249; 9275]; [7612; 7989]; [9069; 10823]; [561; 10480]; [1378; 6538]; [6703; 8178]; [4177; 6032]; [6484; 7316]; [686; 3012]; [2055; 5999]; [4011; 9712]; [5728; 7747]; [5105; 8522]; [4611; 7987]; [2610; 3777]; [1269; 2057]; [6444; 7136]; [66; 271]; [4233; 5560]; [279; 7734]; [7715; 10746]; [3704; 5970]; [6780; 9714]; [3323; 6278]; [3316; 5107]; [2545; 2978]; [3544; 11350]; [610; 9941]; [1415; 7894]; [4154; 9589]; [7576; 8308]; [2135; 8183]; [2212; 5959]; [4092; 5678]; [1475; 9830]; [7440; 7666]; [1311; 10173]; [5296; 8066]; [3183; 10031]; [977; 4635]; [1340; 9413]; [7193; 11172]; [7850; 9227]; [2649; 2927]; [2802; 6175]; [5701; 9283]; [195; 4599]; [6315; 10674]; [1000; 9722]; [224; 3839]; [938; 2428]; [1645; 6262]; [2622; 4487]; [743; 8376]; [221; 9203]; [2738; 5601]; [9241; 11414]; [6369; 10129]; [5624; 9221]; [450; 7750]; [6466; 11193]; [2626; 3855]; [3627; 5884]; [4745; 9252]; [1474; 4286]; [4937; 9422]; [4782; 8353]; [8581; 9274]; [5119; 11156]; [5807; 9278]; [1263; 7449]; [5700; 10909]; [411; 1756]; [7444; 10767]; [568; 5877]; [6889; 9956]; [2961; 6181]; [1464; 10364]; [5304; 7122]; [292; 3727]; [6130; 6706]; [4234; 7208]; [3213; 10566]; [350; 7869]; [1807; 10703]; [7502; 11122]; [2151; 10513]; [4355; 8666]; [5969; 9232]; [499; 4959]; [4258; 8733]; [3137; 8477]; [2636; 4519]; [1113; 3317]; [2513; 5617]; [1458; 6735]; [5336; 5505]; [1387; 8023]; [3839; 9688]; [5592; 9632]; [7607; 11296]; [3469; 4493]; [1134; 7577]; [886; 7475]; [1383; 8281]; [8167; 9418]; [10906; 11113]; [8703; 9398]; [2934; 4334]; [10436; 11349]; [4511; 5772]; [3146; 5156]; [2704; 4811]; [2091; 6274]; [5453; 6440]; [3925; 4894]; [4424; 6527]; [445; 10334]; [5317; 10716]; [4456; 7913]; [4137; 9853]; [5467; 6496]; [3873; 10746]; [3594; 11331]; [2477; 5155]; [5496; 8365]; [3101; 4982]; [5706; 9895]; [6958; 10045]; [3467; 7025]; [447; 5842]; [1572; 10381]; [9015; 10400]; [3186; 6783]; [2935; 3000]; [9598; 10226]; [6143; 9869]; [2812; 8262]; [4840; 10131]; [1569; 9329]; [344; 5340]; [2374; 8036]; [4548; 9730]; [630; 5145]; [6882; 7175]; [6252; 6779]; [5407; 8673]; [3447; 10880]; [5653; 5696]; [6726; 10045]; [186; 10766]; [1210; 4673]; [5630; 8156]; [8061; 11196]; [3913; 5957]; [802; 3158]; [810; 7183]; [4189; 5074]; [3010; 7846]; [4228; 8412]; [2784; 11475]; [4656; 7169]; [9009; 9430]; [270; 6680]; [9069; 9481]; [6951; 11102]; [757; 6798]; [237; 4288]; [2563; 9786]; [2501; 8908]; [6279; 8952]; [481; 4648]; [1298; 7122]; [565; 3595]; [950; 3406]; [4186; 11569]; [7641; 8516]; [1323; 8872]; [9263; 9697]; [7606; 9461]; [6762; 8547]; [4525; 8002]; [530; 10175]; [912; 4053]; [2966; 4891]; [7532; 10451]; [3697; 7621]; [725; 7610]; [2153; 5542]; [10021; 11217]; [5237; 9901]; [1462; 7122]; [2109; 4489]; [27; 5767]; [7279; 9224]; [1737; 2631]; [7340; 10631]; [1855; 4572]; [4573; 7642]; [11157; 11377]; [3001; 9207]; [105; 3364]; [3749; 7380]; [1567; 11460]; [4965; 7119]; [1290; 2292]; [1073; 3755]; [567; 5115]; [1780; 5337]; [6273; 9830]; [2846; 2853]; [1095; 8617]; [5955; 8208]; [1378; 4741]; [2400; 7647]; [11245; 11547]; [2649; 8351]; [2809; 6354]; [2673; 9499]; [7566; 8476]; [3273; 11184]; [1250; 3243]; [9488; 9949]; [2673; 3083]; [2423; 6318]; [2958; 3444]; [5998; 7531]; [6784; 8440]; [560; 7677]; [2766; 6657]; [180; 1794]; [1054; 2550]; [7862; 8245]; [9892; 10941]; [2382; 9700]; [4035; 10194]; [2610; 5363]; [3256; 9675]; [1234; 11004]; [3570; 4358]; [1719; 3879]; [4967; 7141]; [1693; 9074]; [10338; 11408]; [4111; 4712]; [4709; 5570]; [416; 1862]; [601; 7277]; [4670; 9779]; [2397; 9577]; [910; 8032]; [7854; 11336]; [9060; 10387]; [2310; 3916]; [6014; 7983]; [3177; 3501]; [402; 651]; [6685; 9908]; [615; 8114]; [4978; 6899]; [4716; 8619]; [2794; 3736]; [9705; 10310]; [5665; 11212]; [2109; 2879]; [10197; 10772]; [4065; 7346]; [1701; 5528]; [866; 8864]; [4439; 9250]; [1853; 8551]; [1478; 9428]; [394; 2638]; [2265; 10939]; [5847; 9913]; [8206; 11387]; [5928; 8589]; [2804; 10466]; [3585; 11031]; [4607; 7521]; [3223; 9861]; [8916; 9453]; [850; 10209]; [3649; 5539]; [2814; 8121]; [839; 5132]; [713; 6713]; [3421; 6089]; [4824; 6408]; [7411; 9961]; [28; 9993]; [8237; 9545]; [7935; 8426]; [5060; 7624]; [1245; 6924]; [3423; 9518]; [118; 9886]; [8449; 10367]; [2600; 3065]; [363; 2520]; [12; 7955]; [6993; 7354]; [3557; 11211]; [8018; 10531]; [2288; 11057]; [7068; 8467]; [9848; 10163]; [192; 9993]; [4032; 10915]; [192; 3577]; [402; 5107]; [10897; 11482]; [2525; 3830]; [2099; 11535]; [6695; 7138]; [4931; 9257]; [5289; 6521]; [1187; 5791]; [3365; 11391]; [1906; 5478]; [9428; 9762]; [5016; 11058]; [1592; 7008]; [3328; 5093]; [3013; 3769]; [1125; 8296]; [3613; 5454]; [7594; 8109]; [7157; 8108]; [5880; 10345]; [400; 11046]; [3752; 4108]; [2705; 9251]; [1646; 6463]; [6749; 9222]; [703; 5570]; [54; 7376]; [1596; 6376]; [1998; 3912]; [2531; 6627]; [3009; 6629]; [6457; 6569]; [846; 4343]; [8044; 8695]; [4365; 6378]; [6389; 10757]; [2153; 7583]; [9217; 10989]; [2; 6812]; [695; 10940]; [4267; 8472]; [1378; 4554]; [13; 10354]; [5067; 6835]; [559; 1253]; [10047; 11446]; [4489; 10736]; [714; 1541]; [1058; 6269]; [1431; 10981]; [2851; 4888]; [2233; 6007]; [4051; 10510]; [2794; 4354]; [9077; 11359]; [2575; 2738]; [1494; 9051]; [393; 9070]; [8436; 11528]; [7213; 7612]; [5589; 6358]; [11261; 11489]; [419; 5006]; [2810; 4483]; [979; 9544]; [475; 8321]; [2257; 4499]; [607; 1270]; [610; 7957]; [980; 6736]; [2654; 7353]; [167; 6633]; [3580; 7518]; [751; 3651]; [1807; 6141]; [8868; 10030]; [4083; 5860]; [10495; 11555]; [1562; 5556]; [772; 7911]; [3138; 4140]; [6346; 10255]; [2979; 9745]; [1367; 2836]; [7502; 9943]; [1122; 3005]; [4418; 11219]; [2608; 4325]; [3105; 11547]; [2299; 6953]; [1490; 10756]; [6932; 7319]; [6951; 11533]; [9053; 9379]; [10008; 11063]; [1471; 5818]; [2162; 9873]; [426; 1208]; [3970; 10655]; [999; 10145]; [9710; 10847]; [3459; 5255]; [1504; 10812]; [418; 9611]; [322; 3487]; [4993; 10753]; [778; 1286]; [3995; 5989]; [3797; 5250]; [8282; 9882]; [56; 2055]; [4830; 6036]; [9279; 11011]; [4981; 6205]; [278; 9981]; [3053; 7169]; [2707; 10696]; [3663; 11070]; [3047; 6600]; [3730; 10794]; [5344; 7196]; [363; 5366]; [8148; 9286]; [3201; 10450]; [5040; 10168]; [75; 2455]; [5028; 8653]; [4601; 7088]; [2297; 5321]; [8609; 11566]; [4711; 9885]; [4272; 6805]; [3703; 7062]; [1626; 8684]; [905; 8924]; [6259; 9804]; [8988; 10057]; [2460; 2467]; [1711; 10485]; [3727; 9341]; [2959; 6729]; [6231; 11139]; [1801; 3962]; [1646; 2893]; [1620; 8088]; [769; 6003]; [2636; 4763]; [1610; 4367]; [2986; 8525]; [1670; 4418]; [2878; 10712]; [3602; 4327]; [3908; 7817]; [1318; 9628]; [7677; 10027]; [1418; 10963]; [110; 10881]; [6299; 8425]; [2689; 3993]; [5481; 8732]; [405; 10048]; [6625; 6905]; [1817; 7447]; [3026; 10933]; [7255; 10684]; [5285; 8039]; [188; 2062]; [3393; 8660]; [272; 7425]; [67; 3987]; [7909; 8441]; [2088; 9603]; [4848; 5005]; [517; 10639]; [3853; 10338]; [8366; 9848]; [6341; 7496]; [6626; 10109]; [2382; 2910]; [6803; 11499]; [3376; 3768]; [10529; 10629]; [3442; 5519]; [8665; 9134]; [2973; 5980]; [7789; 10217]; [3537; 8008]; [4688; 7352]; [4187; 9810]; [322; 10521]; [5601; 9564]; [5055; 5833]; [848; 3397]; [413; 6852]; [5752; 5946]; [492; 5455]; [2393; 5297]; [2859; 10954]; [1529; 3731]; [3244; 11519]; [5073; 9795]; [6005; 9775]; [2640; 3676]; [5618; 6885]; [8496; 11368]; [593; 8890]; [4251; 6196]; [116; 9490]; [479; 682]; [9475; 10413]; [2854; 4544]; [4027; 7619]; [1508; 4732]; [2685; 5297]; [9849; 10065]; [1195; 3481]; [7426; 11050]; [2810; 3491]; [5688; 7974]; [848; 5625]; [5708; 9380]; [4607; 7147]; [598; 2444]; [8543; 10783]; [2710; 9676]; [281; 1047]; [1471; 5981]; [316; 2731]; [1253; 10225]; [4727; 11386]; [8464; 10675]; [10360; 10927]; [785; 7905]; [4011; 8964]; [1580; 5924]; [336; 4137]; [8159; 10793]; [6404; 10022]; [7971; 10742]; [891; 8331]; [4132; 11176]; [1458; 10630]; [861; 9620]; [1894; 11160]; [3539; 6875]; [5994; 8811]; [7702; 9012]; [9446; 11122]; [3386; 10016]; [5588; 6588]; [2250; 10980]; [4245; 8205]; [7200; 10464]; [8974; 9033]; [3119; 4195]; [4560; 6496]; [8507; 10321]; [5611; 8642]; [4556; 9760]; [6605; 10254]; [7197; 7914]; [1904; 10693]; [3802; 4602]; [3265; 6649]; [1680; 8733]; [1967; 8009]; [709; 1628]; [4795; 5989]; [1104; 2157]; [5408; 10161]; [6841; 8437]; [5872; 8575]; [3224; 6998]; [5964; 11547]; [3717; 3898]; [1690; 4883]; [1755; 3780]; [6333; 10855]; [1419; 10247]; [3721; 11187]; [2568; 8764]; [6572; 6707]; [4565; 9068]; [4802; 8257]; [3618; 10685]; [2847; 11562]; [2186; 9601]; [4264; 4417]; [1001; 1978]; [9834; 10025]; [7596; 10009]; [707; 10576]; [9397; 10401]; [1771; 7265]; [2762; 8606]; [9085; 9348]; [2854; 5162]; [11164; 11182]; [5496; 8422]; [7703; 10256]; [970; 11336]; [1684; 10679]; [1125; 2579]; [10744; 11535]; [2874; 9197]; [5432; 7848]; [1194; 10263]; [7285; 11436]; [9186; 11278]; [5705; 9700]; [3740; 5147]; [7251; 8819]; [7624; 7869]; [1029; 2467]; [1063; 8467]; [4889; 7047]; [6635; 9984]; [558; 7019]; [3049; 10110]; [153; 2769]; [493; 5089]; [4008; 6251]; [3354; 7713]; [4477; 11425]; [678; 8252]; [3443; 4752]; [521; 4104]; [445; 11464]; [5066; 8787]; [4407; 7653]; [5828; 10830]; [5370; 9198]; [1530; 6024]; [9716; 10288]; [168; 9843]; [1622; 8996]; [4889; 5892]; [1907; 5193]; [6855; 11047]; [537; 11403]; [5324; 5820]; [2037; 10901]; [4076; 6543]; [5700; 8551]; [1775; 8457]; [9863; 9934]; [553; 1733]; [1275; 11517]; [523; 10192]; [548; 11188]; [4980; 6360]; [54; 4237]; [6024; 6581]; [423; 9961]; [1385; 2236]; [6093; 7849]; [2597; 4485]; [5238; 9055]; [272; 9011]; [2693; 4947]; [6180; 10477]; [762; 6394]; [880; 9833]; [5276; 9512]; [1666; 10742]; [4997; 10097]; [3256; 7504]; [1571; 5220]; [7133; 9055]; [2465; 9634]; [7785; 10930]; [2246; 10270]; [1090; 4166]; [3702; 3834]; [3108; 9511]; [3956; 4882]; [7357; 11392]; [10079; 10474]; [5414; 11324]; [7996; 8117]; [8180; 10678]; [2170; 8181]; [7868; 8871]; [249; 10316]; [9979; 10243]; [4700; 8948]; [8554; 9576]; [2831; 7109]; [861; 8628]; [6776; 7855]; [1118; 9947]; [7369; 8369]; [3346; 6242]; [2220; 7894]; [647; 7329]; [4799; 11586]; [5611; 7300]; [9253; 10489]; [791; 10491]; [2473; 9471]; [1069; 5517]; [4338; 9656]; [3868; 11427]; [3429; 10599]; [4330; 9014]; [2156; 10703]; [11115; 11507]; [6036; 6136]; [2092; 8998]; [3926; 8372]; [1490; 4234]; [4547; 10934]; [4444; 7049]; [5383; 11206]; [11114; 11282]; [2091; 9527]; [4885; 10175]; [1117; 9321]; [2421; 11159]; [219; 1001]; [2426; 5087]; [3443; 8403]; [4449; 10776]; [8525; 10285]; [5815; 7830]; [3045; 5324]; [2819; 11205]; [1666; 8782]; [7767; 10643]; [1893; 5755]; [399; 3039]; [3193; 10857]; [10347; 10773]; [7735; 9607]; [5496; 8235]; [5299; 11104]; [476; 10614]; [6695; 8000]; [8040; 9839]; [4044; 5371]; [5160; 8666]; [11323; 11405]; [2665; 7331]; [7721; 10998]; [9046; 11461]; [10145; 10615]; [7903; 10480]; [8672; 8776]; [950; 9342]; [2572; 4107]; [172; 380]; [4407; 10499]; [5004; 8503]; [6337; 8827]; [585; 1458]; [857; 3866]; [891; 9112]; [6262; 6963]; [3252; 10632]; [1505; 7470]; [4048; 11505]; [1754; 11180]; [3216; 7942]; [5955; 8883]; [1091; 6140]; [7720; 9618]; [2365; 9267]; [407; 2475]; [9096; 10743]; [3021; 7851]; [6433; 8134]; [4077; 10341]; [2793; 4991]; [1239; 8640]; [3732; 6896]; [5838; 10176]; [3037; 5351]; [7747; 8381]; [2881; 10473]; [7886; 10445]; [4618; 9914]; [3660; 11342]; [5148; 9325]; [7319; 11502]; [8965; 10825]; [2031; 5957]; [9715; 9825]; [3368; 4525]; [3806; 8134]; [103; 6921]; [1656; 10217]; [680; 9184]; [3877; 5341]; [4229; 9176]; [2286; 2692]; [1265; 9056]; [525; 9246]; [8759; 9794]; [1283; 7383]; [8232; 11031]; [2778; 6537]; [6294; 10553]; [1853; 6193]; [198; 3374]; [1223; 5797]; [601; 10180]; [3620; 6974]; [340; 9092]; [966; 5582]; [754; 7389]; [6855; 9250]; [4209; 4336]; [2371; 8226]; [1205; 1434]; [659; 4119]; [5361; 6534]; [8064; 8572]; [5597; 9285]; [6064; 7216]; [1016; 8328]; [3822; 11245]; [2770; 8874]; [3254; 5311]; [239; 8636]; [3723; 10485]; [7088; 8670]; [5195; 7935]; [5909; 7278]; [2912; 4793]; [2606; 6938]; [2503; 3807]; [10037; 10360]; [5995; 9681]; [3468; 9562]; [789; 8672]; [6290; 6596]; [4710; 11276]; [2866; 11214]; [1477; 6794]; [4058; 6395]; [2220; 10285]; [1902; 5280]; [1279; 6055]; [620; 7173]; [7280; 10718]; [9845; 10540]; [2808; 4793]; [4543; 9069]; [3402; 8161]; [3612; 5527]; [8376; 8820]; [549; 5428]; [9434; 11356]; [5568; 6961]; [3386; 6877]; [4819; 11569]; [2846; 2991]; [3250; 7016]; [483; 10443]; [4849; 6493]; [7294; 7741]; [4785; 8952]; [4589; 4876]; [6245; 9805]; [2036; 4290]; [948; 8678]; [847; 2210]; [4148; 8516]; [7159; 8455]; [6606; 9969]; [567; 2570]; [2093; 8207]; [6416; 7593]; [2747; 5964]; [1491; 8324]; [1307; 6517]; [1711; 4126]; [8028; 10715]; [5170; 8362]; [614; 5018]; [6969; 7927]; [369; 9351]; [4376; 6811]; [2633; 7555]; [9978; 11203]; [7684; 10124]; [10529; 11491]; [5589; 10416]; [448; 4167]; [1568; 4198]; [3475; 7992]; [3716; 4671]; [204; 7190]; [5400; 6730]; [7943; 10765]; [11067; 11517]; [200; 9700]; [3244; 5615]; [4718; 10308]; [8135; 10935]; [5888; 9702]; [2187; 9316]; [4298; 5026]; [3267; 9948]; [7219; 7701]; [1117; 6369]; [4055; 4487]; [1677; 10907]; [331; 8843]; [4360; 8506]; [9523; 9818]; [7840; 10613]; [8681; 11229]; [4631; 6525]; [8607; 8836]; [4264; 5011]; [5403; 9256]; [6437; 8015]; [9855; 11496]; [3790; 9292]; [5844; 10130]; [8196; 10433]; [205; 6610]; [3620; 9820]; [5769; 8266]; [1410; 5436]; [1566; 5949]; [7481; 8586]; [6426; 9704]; [6791; 8139]; [2954; 10898]; [3668; 10241]; [433; 11348]; [3640; 8193]; [811; 1320]; [5893; 6208]; [3302; 5165]; [2397; 2844]; [4816; 8533]; [4234; 5899]; [6412; 8493]; [1801; 5442]; [221; 10122]; [92; 8022]; [3380; 9959]; [5291; 11243]; [5093; 10504]; [6311; 11070]; [7519; 7538]; [7302; 9001]; [1426; 9702]; [5440; 8333]; [1455; 8188]; [2265; 7239]; [7275; 9807]; [1417; 5452]; [4278; 8076]; [6453; 10372]; [4870; 9119]; [641; 2952]; [4674; 5043]; [4431; 8291]; [2726; 5355]; [3500; 4749]; [4054; 6089]; [8813; 9038]; [3188; 7106]; [7006; 8077]; [4298; 6449]; [2682; 8466]; [820; 1382]; [4801; 10453]; [8543; 10840]; [1594; 7192]; [5554; 8970]; [5038; 9642]; [1626; 2943]; [346; 1499]; [2871; 8338]; [1928; 9697]; [2936; 9487]; [7556; 8894]; [4354; 5977]; [9170; 9433]; [1952; 4806]; [2072; 3410]; [5471; 9093]; [8509; 10101]; [3163; 7584]; [3228; 8733]; [2827; 8389]; [8641; 10220]; [7868; 10270]; [2170; 3164]; [3226; 5654]; [5053; 9519]; [6930; 9721]; [910; 2372]; [8110; 9803]; [1135; 4934]; [326; 9491]; [4768; 10289]; [1469; 7439]; [4019; 6229]; [8351; 9865]; [5457; 11265]; [2554; 8415]; [1649; 6094]; [152; 3861]; [10024; 11011]; [3388; 5608]; [3582; 8857]; [98; 7008]; [6319; 9725]; [3138; 5433]; [161; 5078]; [7007; 7093]; [1559; 10715]; [269; 2167]; [717; 6464]; [6029; 6364]; [7607; 8027]; [1208; 6701]; [2300; 11100]; [2254; 4339]; [3095; 4955]; [2353; 7728]; [290; 9056]; [5622; 6205]; [1575; 7434]; [4622; 6276]; [7134; 8746]; [704; 1691]; [733; 6593]; [5088; 5517]; [1445; 11525]; [1796; 6090]; [2009; 7137]; [2346; 3524]; [9596; 10318]; [10778; 11227]; [478; 9457]; [3150; 9176]; [4493; 10942]; [1721; 7609]; [1124; 3189]; [2433; 9535]; [6129; 9577]; [7345; 9316]; [6789; 11313]; [4260; 7738]; [4881; 10300]; [7040; 8680]; [2928; 3098]; [1392; 1691]; [7878; 9779]; [6195; 11328]; [1402; 2379]; [1204; 1640]; [3084; 7775]; [892; 7003]; [2609; 4284]; [3722; 7308]; [4260; 11121]; [4040; 6651]; [6157; 11221]; [3819; 4208]; [2377; 2436]; [5589; 6041]; [4369; 8812]; [482; 5038]; [6402; 11025]; [944; 3379]; [7980; 8901]; [2691; 6918]; [1015; 4720]; [974; 2467]; [6674; 10400]; [2555; 3647]; [7821; 8090]; [5732; 8197]; [1661; 2616]; [5639; 5754]; [286; 8482]; [2217; 4002]; [2265; 6702]; [5948; 9892]; [8341; 10950]; [6438; 9527]; [4258; 10270]; [1116; 5152]; [6993; 7305]; [2454; 6574]; [3610; 6262]; [9174; 10170]; [4998; 7047]; [4913; 8629]; [3776; 6739]; [6365; 11119]; [1322; 8411]; [2354; 6343]; [4966; 6011]; [8487; 10371]; [3094; 9536]; [7638; 11365]; [9726; 11033]; [2531; 4700]; [103; 4587]; [2150; 11424]; [2747; 3012]; [4729; 8700]; [2316; 10373]; [2495; 5420]; [1492; 6728]; [3303; 10060]; [6696; 10293]; [2704; 9731]; [1582; 8873]; [4419; 4687]; [3698; 4173]; [8436; 9251]; [1275; 11574]; [8985; 9493]; [2111; 5430]; [7281; 10165]; [1149; 2575]; [3785; 6801]; [607; 2026]; [8588; 10022]; [3478; 5338]; [2552; 8556]; [2167; 2329]; [8181; 11361]; [5991; 10662]; [1079; 5219]; [265; 2262]; [356; 1626]; [5536; 7049]; [4717; 10164]; [4631; 4728]; [4958; 6843]; [1632; 2170]; [4381; 4553]; [1915; 8120]; [2450; 5246]; [444; 692]; [3026; 11071]; [8320; 11146]; [3313; 8095]; [4273; 10123]; [3841; 4050]; [7848; 11336]; [3273; 4532]; [4623; 7469]; [8853; 10828]; [8442; 9042]; [4237; 7433]; [5988; 10714]; [40; 9849]; [2314; 8741]; [2211; 4856]; [7599; 10982]; [5348; 6597]; [1464; 7258]; [2799; 9163]; [9650; 11522]; [5316; 7059]; [125; 2201]; [3512; 10533]; [7060; 7671]; [2755; 8110]; [2078; 5616]; [7083; 7840]; [1047; 4876]; [7117; 11588]; [2198; 4220]; [4499; 11351]; [475; 2206]; [4236; 6053]; [4091; 9836]; [2124; 5210]; [288; 5763]; [904; 7981]; [1188; 1324]; [3407; 6171]; [6414; 8620]; [4891; 5166]; [5665; 10976]; [4175; 5750]; [8001; 10746]; [5; 9989]; [5564; 7137]; [897; 7160]; [4171; 5227]; [4418; 11520]; [5440; 8764]; [1046; 4250]; [3630; 8286]; [7549; 9309]; [3258; 5674]; [333; 2099]; [3077; 9800]; [1487; 7376]; [5281; 7953]; [1707; 9594]; [857; 11144]; [922; 11539]; [3592; 4769]; [422; 10435]; [5709; 9339]; [5266; 8769]; [1811; 6160]; [5116; 5792]; [1379; 3497]; [10348; 11405]; [7507; 9433]; [2347; 6140]; [3088; 7306]; [1067; 11489]; [3073; 4739]; [2804; 10930]; [1649; 7680]; [837; 5550]; [3046; 4047]; [7927; 8679]; [8219; 8299]; [5864; 10007]; [4468; 10078]; [239; 1659]; [6157; 10229]; [10; 1607]; [8925; 10410]; [1943; 10786]; [6743; 10326]; [4646; 6408]; [585; 1515]; [1781; 6294]; [8604; 11523]; [3929; 6767]; [4894; 9139]; [10716; 11585]; [1162; 1526]; [3739; 10807]; [5055; 7744]; [12; 5036]; [9010; 9178]; [6321; 7600]; [2866; 10653]; [2802; 8948]; [6219; 7323]; [2707; 9842]; [348; 1952]; [3297; 6675]; [936; 10790]; [4052; 6019]; [3140; 8943]; [499; 8537]; [2803; 9550]; [4022; 9560]; [3984; 6824]; [5575; 6440]; [6215; 6800]; [2708; 3247]; [6193; 8704]; [930; 1526]; [5317; 9033]; [169; 1613]; [2259; 5114]; [352; 11119]; [111; 8024]; [10508; 10858]; [7982; 10964]; [5828; 6512]; [7696; 10378]; [638; 3754]; [2257; 5418]; [10221; 10801]; [2962; 6927]; [2437; 4073]; [4243; 7061]; [4619; 9792]; [3119; 3878]; [1721; 8040]; [9209; 11242]; [2249; 7405]; [1559; 6958]; [28; 1731]; [3326; 4356]; [9930; 10221]; [4575; 10624]; [5099; 9089]; [372; 8307]; [3636; 5686]; [9551; 10575]; [3855; 10685]; [4430; 5732]; [1727; 4448]; [2816; 2914]; [5897; 10008]; [10284; 11099]; [7204; 9865]; [2193; 9324]; [3411; 9890]; [78; 8210]; [2874; 3269]; [1535; 11044]; [2774; 6071]; [129; 10427]; [2128; 11558]; [1440; 7774]; [1192; 7672]; [41; 1912]; [624; 1738]; [1651; 5742]; [1744; 1769]; [562; 860]; [1781; 11450]; [3672; 10604]; [1616; 8939]; [5566; 10029]; [960; 7322]; [3417; 10085]; [712; 7974]; [1558; 8934]; [617; 3950]; [1866; 6835]; [4665; 8581]; [840; 6439]; [4854; 8480]; [4787; 7258]; [7625; 8178]; [3136; 6810]; [3563; 6123]; [4228; 8957]; [1260; 7964]; [5802; 6714]; [9480; 11058]; [4626; 9003]; [5777; 8347]; [2410; 2919]; [3531; 10722]; [2158; 6081]; [8823; 9970]; [5733; 7294]; [3718; 10548]; [3938; 8602]; [1851; 8782]; [3833; 10306]; [6013; 10317]; [7513; 9815]; [3365; 8740]; [1835; 10531]; [4696; 6739]; [2777; 11199]; [881; 5285]; [6478; 9333]; [4525; 8547]; [3546; 3833]; [8910; 9565]; [4209; 10004]; [462; 2857]; [4080; 7904]; [4331; 5271]; [1767; 8303]; [8802; 10971]; [5003; 10050]; [9120; 9560]; [1120; 2268]; [10799; 11275]; [6215; 10801]; [4811; 6847]; [9606; 10207]; [607; 5840]; [2205; 2463]; [4748; 6498]; [8113; 10345]; [4589; 4933]; [1127; 1153]; [3158; 10867]; [2497; 11158]; [5544; 10754]; [72; 2648]; [8473; 11038]; [1097; 5825]; [2716; 7489]; [3713; 8618]; [1679; 8432]; [7119; 8332]; [4861; 6910]; [365; 8535]; [4348; 5601]; [3791; 10379]; [5565; 8948]; [6998; 7224]; [3629; 5133]; [3381; 11447]; [9506; 11450]; [8262; 9663]; [8170; 10074]; [5742; 6551]; [7545; 10022]; [5394; 9251]; [6397; 8697]; [4679; 10437]; [2349; 8203]; [262; 4973]; [6547; 8641]; [7354; 10427]; [5234; 8969]; [2529; 6858]; [1064; 9044]; [1680; 4846]; [1894; 9501]; [3666; 7243]; [3726; 11458]; [778; 9589]; [7218; 10916]; [7025; 11275]; [2880; 9717]; [5039; 8097]; [8387; 10839]; [1145; 8070]; [3194; 4400]; [1695; 2094]; [7575; 7928]; [2654; 3897]; [7206; 9751]; [1313; 8593]; [10779; 10891]; [5118; 7050]; [2313; 7741]; [314; 4358]; [3206; 8547]; [6545; 11173]; [165; 10651]; [4831; 6993]; [6624; 9776]; [4294; 6788]; [118; 10081]; [3638; 11587]; [92; 4696]; [2748; 3882]; [1091; 4400]; [673; 7859]; [5133; 9960]; [4192; 5730]; [921; 11344]; [10007; 11169]; [7142; 11055]; [5440; 8390]; [5774; 7512]; [2567; 4251]; [7463; 9915]; [5725; 11003]; [4877; 9216]; [232; 919]; [8170; 11497]; [6960; 8540]; [9668; 10922]; [3584; 3780]; [3280; 6752]; [1917; 2799]; [8534; 9680]; [9187; 10999]; [4247; 9170]; [2339; 7403]; [876; 11170]; [4983; 9992]; [1647; 3877]; [2376; 10668]; [9967; 11339]; [8819; 9260]; [2615; 4268]; [5567; 8508]; [5424; 6702]; [959; 9892]; [7657; 9757]; [4009; 9005]; [7529; 10511]; [6218; 6748]; [1170; 7860]; [2145; 5258]; [6680; 8499]; [793; 4877]; [139; 4087]; [4095; 8375]; [1662; 10924]; [3377; 5880]; [545; 1742]; [1725; 8240]; [1940; 10114]; [259; 7572]; [5111; 7302]; [1477; 2476]; [4713; 10639]; [5417; 8540]; [2929; 4966]; [6258; 9156]; [2283; 10453]; [5602; 7539]; [11149; 11443]; [3608; 3719]; [662; 9093]; [3016; 10223]; [2732; 4048]; [4479; 10593]; [219; 2107]; [1859; 4648]; [4735; 8304]; [7531; 10533]; [6125; 9916]; [4879; 11466]; [7060; 7915]; [1950; 3231]; [4931; 10875]; [7264; 11128]; [11001; 11171]; [2764; 9571]; [851; 7460]; [1659; 3432]; [3837; 9032]; [146; 10088]; [1872; 4479]; [669; 2693]; [3036; 11198]; [3740; 9099]; [701; 1450]; [7575; 8896]; [3549; 8750]; [1777; 4592]; [7012; 9722]; [6981; 8157]; [4206; 5307]; [6544; 8156]; [3325; 7544]; [8593; 8650]; [4207; 8161]; [213; 6772]; [153; 305]; [7537; 9543]; [4359; 4768]; [8454; 8491]; [1716; 3535]; [250; 10037]; [2614; 5439]; [1984; 5043]; [2698; 3632]; [2584; 6728]; [2608; 11286]; [6500; 8234]; [368; 644]; [901; 1107]; [711; 11563]; [3880; 7924]; [6242; 6663]; [1008; 11557]; [6729; 6781]; [6639; 10271]; [8789; 11571]; [3932; 5081]; [1812; 5875]; [1034; 9745]; [4184; 5302]; [3675; 3735]; [3738; 7467]; [3645; 5024]; [2124; 4649]; [1098; 10669]; [5829; 11570]; [2128; 11184]; [6629; 9933]; [1002; 7174]; [10399; 10833]; [5965; 6920]; [7086; 10559]; [1231; 5721]; [2046; 11532]; [3009; 10825]; [2173; 4137]; [1447; 4033]; [2603; 3721]; [2453; 7160]; [1663; 2345]; [8882; 9826]; [6151; 6494]; [733; 1657]; [8847; 10771]; [2997; 6277]; [1192; 6143]; [4844; 10020]; [515; 10065]; [4649; 7300]; [2741; 5533]; [344; 7739]; [3592; 7591]; [466; 3006]; [5976; 10061]; [2093; 2279]; [967; 10347]; [3744; 8362]; [9623; 11342]; [4052; 6263]; [1846; 7283]; [2052; 4907]; [4476; 7530]; [969; 10393]; [1776; 9927]; [458; 4993]; [1045; 2309]; [983; 1431]; [5093; 6186]; [404; 2478]; [1775; 5538]; [1204; 6503]; [2105; 7924]; [5343; 10498]; [2074; 6359]; [3359; 8147]; [5126; 5545]; [3104; 6874]; [3133; 6114]; [1706; 11036]; [82; 3366]; [8077; 10314]; [7017; 8836]; [446; 3828]; [8568; 10551]; [4554; 6258]; [4125; 10282]; [1482; 9049]; [6117; 10242]; [9534; 10115]; [5736; 10550]; [2933; 11314]; [2607; 5667]; [1237; 11123]; [1369; 7078]; [1400; 6391]; [180; 4998]; [3829; 9358]; [8211; 10105]; [3667; 4112]; [4542; 8476]; [2860; 5709]; [1728; 4917]; [2410; 3968]; [5613; 10493]; [3717; 3825]; [1167; 3537]; [2003; 10225]; [5612; 10268]; [2312; 10980]; [4800; 8892]; [3093; 5129]; [1288; 4995]; [2339; 8639]; [2196; 6833]; [2067; 11149]; [9030; 11497]; [2368; 7879]; [3832; 5468]; [2612; 8239]; [1536; 7726]; [4552; 8009]; [6037; 6475]; [7155; 9843]; [1119; 8377]; [2734; 6135]; [2049; 6032]; [3482; 4308]; [555; 9732]; [8872; 11261]; [1023; 5636]; [1730; 7218]; [6931; 7102]; [7022; 7220]; [5566; 7240]; [2326; 8003]; [4475; 5695]; [8458; 9177]; [2224; 7726]; [3442; 8292]; [9548; 10497]; [1298; 4528]; [6950; 8283]; [976; 8449]; [1920; 4282]; [639; 9029]; [1138; 3492]; [6769; 9376]; [5363; 6507]; [6483; 6538]; [2058; 2711]; [1469; 8732]; [5017; 5870]; [8197; 10691]; [2521; 7316]; [4233; 5007]; [10342; 10893]; [3045; 10699]; [2952; 3338]; [653; 6833]; [3328; 6069]; [2607; 10473]; [8214; 11045]; [1267; 1808]; [7285; 8330]; [1115; 4420]; [122; 9826]; [6722; 9156]; [2302; 3421]; [7990; 9085]; [6257; 11271]; [4667; 8093]; [4168; 7214]; [1730; 6413]; [3419; 8816]; [5594; 8483]; [4122; 6465]; [77; 6269]; [3251; 7892]; [2509; 6501]; [5238; 6754]; [10250; 10903]; [8094; 9034]; [7257; 11543]; [2067; 9539]; [3581; 6491]; [3858; 5079]; [1806; 7697]; [335; 6685]; [3659; 4869]; [1776; 9740]; [5259; 11364]; [557; 2533]; [268; 8846]; [7489; 10738]; [1740; 7050]; [7896; 8618]; [8080; 10425]; [7436; 10323]; [5841; 7555]; [2823; 7199]; [6837; 9994]; [6527; 11266]; [5764; 9028]; [4024; 9289]; [1309; 6490]; [3437; 5557]; [5455; 10902]; [570; 9534]; [7781; 9984]; [2939; 5280]; [2870; 7395]; [10624; 11248]; [3644; 6035]; [70; 8430]; [3174; 3642]; [9501; 10919]; [2705; 8267]; [3457; 3930]; [6514; 9876]; [1469; 10505]; [3706; 4634]; [7876; 9440]; [861; 11588]; [4758; 9634]; [6246; 7617]; [10330; 11151]; [2567; 5300]; [273; 1969]; [4254; 11040]; [2348; 3684]; [9507; 11114]; [6174; 9434]; [891; 4233]; [7212; 10564]; [3528; 7149]; [6088; 6627]; [4273; 5805]; [909; 4812]; [8544; 11417]; [855; 7959]; [7417; 10215]; [3403; 5922]; [1933; 7764]; [6640; 10523]; [1812; 9689]; [6533; 9902]; [1676; 4166]; [8439; 10842]; [779; 5870]; [806; 3529]; [2516; 4557]; [6437; 7161]; [1774; 3920]; [1141; 4007]; [7940; 10340]; [4008; 9829]; [6491; 6643]; [7562; 10919]; [6991; 7720]; [9114; 10607]; [1524; 6374]; [2264; 6938]; [824; 5239]; [5932; 8342]; [3848; 9547]; [1365; 5563]; [1021; 5753]; [2605; 10614]; [5021; 6206]; [3188; 10440]; [4872; 6083]; [2168; 6826]; [5117; 9297]; [1812; 5501]; [1313; 1616]; [1197; 10301]; [569; 4316]; [5457; 5955]; [1560; 2247]; [1503; 1713]; [74; 9972]; [3087; 3568]; [5862; 7172]; [4859; 7726]; [67; 8801]; [1808; 4978]; [5502; 8357]; [275; 3088]; [2548; 8925]; [5473; 6838]; [10354; 10716]; [3133; 3162]; [9577; 11024]; [609; 8976]; [3843; 7644]; [386; 4208]; [8486; 9452]; [7541; 7732]; [8268; 11444]; [7239; 10777]; [7571; 9072]; [3588; 10508]; [436; 6954]; [3617; 4830]; [6972; 8743]; [6519; 7455]; [535; 6933]; [1996; 7257]; [199; 4732]; [911; 9664]; [5613; 5663]; [322; 9269]; [188; 6071]; [7; 7945]; [3272; 8178]; [5347; 9893]; [4760; 6915]; [1675; 4583]; [6993; 9216]; [6931; 8338]; [4754; 6346]; [1144; 8330]; [487; 3859]; [3704; 7808]; [1739; 9671]; [56; 11220]; [121; 5199]; [1920; 5518]; [8195; 8498]; [3821; 5360]; [7764; 9443]; [949; 2577]; [3094; 11447]; [10964; 11533]; [5272; 8379]; [6120; 10166]; [2978; 7300]; [4189; 7449]; [4399; 8225]; [7599; 10315]; [6292; 7425]; [851; 1638]; [9304; 10218]; [10324; 10799]; [6235; 10274]; [3701; 10519]; [2672; 5688]; [1927; 5534]; [6531; 6660]; [2083; 5293]; [6346; 11044]; [4471; 6007]; [7373; 8632]; [2946; 8142]; [1201; 1643]; [2885; 10118]; [5474; 8082]; [3623; 7603]; [4254; 4437]; [917; 5267]; [5280; 8216]; [6890; 7882]; [4459; 4842]; [1874; 6997]; [3842; 8815]; [2003; 3435]; [1378; 9799]; [1163; 5673]; [4929; 10618]; [2408; 4652]; [3239; 3826]; [2648; 3358]; [11077; 11544]; [4917; 6070]; [3774; 10751]; [2700; 6931]; [2364; 6982]; [549; 6160]; [4788; 6599]; [531; 4800]; [4605; 7646]; [7241; 7708]; [2107; 3384]; [6716; 9018]; [7769; 7827]; [4689; 6593]; [1695; 4379]; [3540; 11459]; [5191; 11126]; [2543; 9549]; [5746; 8904]; [5335; 7118]; [10097; 10338]; [763; 3995]; [3311; 8374]; [3441; 7666]; [6008; 9843]; [6515; 11337]; [7718; 10871]; [4423; 7009]; [4767; 5321]; [89; 1048]; [1317; 2302]; [4733; 9120]; [7477; 11159]; [5323; 5953]; [1842; 10791]; [4700; 6728]; [964; 10293]; [8274; 8470]; [796; 5232]; [2229; 3508]; [1265; 10406]; [5522; 5789]; [742; 1963]; [1765; 8477]; [5060; 7421]; [3311; 10602]; [4462; 9946]; [1542; 10125]; [797; 5053]; [2810; 5890]; [4991; 8755]; [6763; 10661]; [1190; 11171]; [5682; 10558]; [3958; 11352]; [1317; 4530]; [3314; 11250]; [323; 6301]; [1625; 1650]; [5694; 10568]; [1320; 7430]; [4773; 7714]; [3175; 4675]; [2551; 8231]; [1374; 7666]; [648; 5310]; [7339; 10420]; [3631; 8863]; [2141; 3637]; [4756; 9238]; [5568; 9116]; [1650; 6783]; [736; 4376]; [1911; 4114]; [7425; 8659]; [546; 9914]; [2079; 6142]; [5807; 8351]; [4028; 9438]; [4649; 5584]; [891; 4664]; [8640; 8927]; [8855; 10801]; [5770; 8469]; [9164; 11556]; [389; 9149]; [907; 8580]; [7574; 9132]; [1189; 7512]; [540; 650]; [1945; 9710]; [259; 6824]; [8187; 11052]; [7729; 9420]; [4893; 8546]; [1025; 3324]; [6976; 7870]; [3671; 4074]; [876; 9617]; [6344; 6647]; [4983; 8439]; [6691; 8640]; [7317; 7382]; [2171; 7959]; [3984; 5702]; [8125; 9770]; [6876; 7639]; [3699; 6472]; [1481; 10141]; [1770; 3828]; [4810; 8669]; [1355; 5306]; [4223; 9101]; [4875; 6812]; [3290; 11148]; [988; 3792]; [7077; 10554]; [236; 8883]; [833; 6887]; [292; 5028]; [1570; 6399]; [1700; 5691]; [8382; 10715]; [2592; 6272]; [5324; 6796]; [1349; 8093]; [3928; 11031]; [1550; 11035]; [2079; 10598]; [2141; 5060]; [6750; 11448]; [2990; 3285]; [6371; 8419]; [1987; 4593]; [8485; 9308]; [2231; 4953]; [2301; 5692]; [1742; 4008]; [3285; 6616]; [2385; 4639]; [634; 11157]; [2979; 6509]; [5501; 8913]; [2758; 4066]; [36; 96]; [4528; 5899]; [4130; 11488]; [4772; 8511]; [7723; 11028]; [4144; 5909]; [9780; 11383]; [1217; 4917]; [1148; 9284]; [1655; 8526]; [3358; 4219]; [7382; 7702]; [122; 9265]; [7529; 10381]; [583; 10414]; [6935; 9642]; [9359; 11511]; [5997; 11345]; [2332; 11370]; [5209; 10740]; [7203; 7363]; [2165; 9163]; [8290; 11418]; [3942; 7249]; [4154; 5442]; [852; 5327]; [4033; 7367]; [1163; 6909]; [827; 6960]; [7040; 9062]; [3363; 7572]; [601; 11343]; [252; 4019]; [5270; 11366]; [1445; 9224]; [1443; 6145]; [5486; 9678]; [7258; 7420]; [312; 8207]; [3359; 7049]; [5286; 8866]; [7746; 10392]; [2744; 7685]; [7990; 10752]; [3384; 8799]; [6912; 10166]; [3729; 5047]; [1580; 5103]; [5351; 10392]; [2724; 3276]; [4260; 5437]; [5507; 10905]; [5839; 6948]; [6052; 7995]; [2447; 10323]; [458; 7628]; [4534; 7137]; [7299; 10053]; [1751; 9307]; [3817; 8250]; [1047; 4990]; [3373; 10488]; [9849; 11472]; [4398; 7249]; [8756; 9854]; [1820; 10575]; [2930; 9918]; [1378; 10230]; [6976; 10716]; [6282; 6363]; [4074; 11474]; [1710; 3240]; [3545; 5468]; [749; 987]; [6000; 6650]; [2638; 6484]; [6153; 7646]; [2770; 5849]; [3886; 9144]; [4971; 10120]; [8429; 10748]; [1149; 7495]; [2510; 10621]; [4719; 8364]; [4774; 6573]; [10293; 11462]; [696; 6237]; [8691; 10933]; [5991; 9166]; [4024; 4540]; [3158; 5557]; [7602; 10188]; [7729; 11461]; [5088; 11055]; [638; 2445]; [478; 5196]; [1529; 9594]; [7193; 8448]; [4421; 11531]; [7729; 8428]; [167; 6243]; [3830; 10309]; [4303; 10721]; [502; 6721]; [779; 5309]; [2983; 9124]; [10985; 11581]; [1764; 9087]; [4890; 7256]; [4016; 4248]; [1526; 3257]; [2520; 4869]; [4471; 11244]; [1921; 6038]; [6840; 6990]; [6659; 8110]; [3533; 6531]; [4340; 5311]; [1265; 10837]; [1199; 6053]; [1228; 4539]; [7241; 10717]; [2439; 4688]; [2626; 10930]; [9785; 11190]; [5117; 5353]; [5898; 5918]; [2417; 10002]; [1882; 7214]; [1599; 3893]; [1964; 2328]; [4489; 11419]; [4491; 5830]; [2650; 6039]; [3393; 9530]; [1559; 4494]; [3995; 8632]; [7637; 11067]; [593; 10565]; [3239; 9063]; [8791; 10682]; [9775; 10852]; [1893; 6999]; [131; 3529]; [4581; 11358]; [2335; 7317]; [1580; 5721]; [3178; 8760]; [3541; 6368]; [1208; 3863]; [9232; 10051]; [1147; 5839]; [2050; 7333]; [2759; 6332]; [2669; 3406]; [2168; 11526]; [3852; 11333]; [4463; 9043]; [6858; 10174]; [1129; 4509]; [1096; 2117]; [10030; 10970]; [2588; 7389]; [3054; 5876]; [10870; 11361]; [918; 6891]; [4425; 6657]; [3272; 10650]; [6321; 6909]; [746; 10756]; [2124; 9325]; [3772; 9475]; [3021; 10250]; [2240; 10439]; [4008; 10691]; [5350; 9603]; [6912; 9979]; [1179; 4572]; [3140; 5219]; [9017; 11536]; [9643; 10278]; [2880; 3602]; [8736; 11294]; [1231; 10397]; [5030; 11318]; [8051; 11191]; [2074; 5424]; [4384; 10389]; [3262; 9531]; [81; 5239]; [2376; 5008]; [7857; 11325]; [2131; 9341]; [5892; 9778]; [1511; 3217]; [3116; 6703]; [5703; 10256]; [1785; 5671]; [3521; 3756]; [7667; 8168]; [1401; 1544]; [1158; 8956]; [7875; 8871]; [7479; 8871]; [4628; 6211]; [3858; 9942]; [6160; 10882]; [2865; 5522]; [2139; 2412]; [9024; 10771]; [5323; 10385]; [7219; 10637]; [5464; 9866]; [873; 8945]; [2599; 3336]; [5527; 7182]; [1392; 11230]; [4374; 5513]; [2875; 8869]; [6271; 8619]; [421; 4125]; [8553; 11536]; [8691; 10746]; [5869; 8050]; [7949; 10109]; [6366; 8856]; [2314; 3325]; [4339; 5677]; [6582; 9420]; [1037; 3310]; [4870; 9477]; [1599; 10927]; [4149; 9717]; [1413; 6041]; [1368; 2134]; [11369; 11384]; [233; 10840]; [531; 3889]; [6004; 6181]; [997; 3130]; [5019; 5786]; [3851; 8747]; [192; 7806]; [3693; 4374]; [269; 3330]; [528; 4722]; [5378; 10041]; [5634; 7752]; [3166; 11246]; [4713; 10590]; [7930; 8123]; [17; 11373]; [4131; 4950]; [3064; 4553]; [4626; 4929]; [5059; 8194]; [3161; 7869]; [7925; 11162]; [1072; 1560]; [1570; 5220]; [8075; 11106]; [3870; 9497]; [2590; 5047]; [1186; 1847]; [2684; 11098]; [1997; 7916]; [182; 2930]; [1938; 6555]; [61; 4855]; [904; 6298]; [6010; 6322]; [6538; 8693]; [6966; 7450]; [1687; 6155]; [206; 4455]; [586; 3922]; [615; 9578]; [1332; 7684]; [4594; 4990]; [5822; 6244]; [4604; 9842]; [4347; 7742]; [5935; 7841]; [608; 5374]; [2356; 2722]; [6619; 10725]; [260; 8074]; [664; 1519]; [706; 11544]; [5274; 11515]; [6024; 9761]; [2962; 3471]; [5766; 11223]; [2281; 9903]; [1291; 11416]; [97; 6740]; [6038; 6434]; [2467; 6094]; [1247; 8111]; [2240; 6869]; [2773; 3168]; [2768; 2824]; [123; 11344]; [4390; 7415]; [1310; 6181]; [6382; 7375]; [819; 9327]; [1153; 2033]; [6285; 10448]; [4516; 9971]; [3981; 6429]; [1085; 7002]; [9510; 11282]; [5568; 8555]; [1800; 2783]; [3598; 5910]; [4532; 6717]; [4033; 5838]; [3097; 8368]; [1854; 9435]; [3385; 8246]; [3003; 7952]; [8364; 9249]; [4723; 9668]; [1731; 1865]; [6925; 11158]; [970; 1952]; [10227; 10492]; [2617; 11299]; [3059; 5228]; [941; 6849]; [3031; 10350]; [8161; 9270]; [5733; 11409]; [155; 5159]; [4668; 5423]; [5072; 9448]; [2825; 8969]; [2336; 5772]; [1097; 4329]; [11324; 11478]; [5880; 8426]; [3822; 7846]; [5131; 10028]; [2044; 5371]; [6275; 11584]; [8429; 10374]; [4814; 4844]; [1044; 9579]; [5343; 8571]; [7361; 9752]; [3875; 7076]; [480; 4518]; [3532; 3704]; [1593; 7542]; [2076; 3724]; [1068; 4688]; [5576; 10270]; [1036; 5150]; [382; 10776]; [5668; 6826]; [2871; 11542]; [814; 10406]; [3871; 9936]; [3178; 5808]; [282; 10545]; [1705; 8133]; [2644; 11536]; [1775; 8872]; [534; 4350]; [5112; 11425]; [1155; 7666]; [2333; 11085]; [525; 854]; [4881; 9048]; [4540; 8755]; [8451; 9917]; [3793; 11184]; [1544; 9878]; [2265; 3222]; [608; 5992]; [7242; 8316]; [81; 6475]; [10848; 11094]; [4031; 7565]; [447; 4354]; [9760; 9820]; [4273; 7098]; [1692; 6743]; [816; 9324]; [7082; 9532]; [2326; 10264]; [6361; 7520]; [2565; 10280]; [4865; 10393]; [1350; 6979]; [5928; 7638]; [3275; 5717]; [1162; 7682]; [635; 10417]; [656; 4878]; [3930; 9361]; [10062; 10535]; [5332; 6072]; [8599; 9384]; [4022; 5917]; [3683; 6451]; [4488; 5158]; [123; 5546]; [155; 9965]; [2395; 7775]; [2106; 7672]; [6249; 8403]; [1340; 2477]; [5665; 9106]; [5787; 10035]; [647; 7394]; [3725; 8555]; [2075; 5326]; [4538; 4871]; [6093; 10492]; [1167; 6871]; [1506; 6337]; [4133; 7037]; [1954; 10634]; [4583; 7273]; [1730; 8674]; [2910; 3094]; [3524; 10901]; [1850; 3114]; [535; 9031]; [1347; 2493]; [10; 3925]; [7604; 10529]; [4429; 10189]; [9809; 11536]; [1256; 5758]; [2618; 5322]; [1646; 1779]; [3204; 9583]; [5282; 10815]; [862; 5080]; [7157; 10190]; [4569; 8664]; [935; 3838]; [1238; 1395]; [307; 4269]; [3670; 7289]; [453; 3340]; [1791; 11178]; [4341; 9968]; [669; 8068]; [3631; 11498]; [3483; 4430]; [4032; 5426]; [276; 1169]; [365; 11040]; [1423; 3777]; [3009; 8711]; [103; 2180]; [5772; 8548]; [3339; 11097]; [9378; 11326]; [7509; 9487]; [5140; 7325]; [971; 5373]; [3376; 7192]; [2562; 4989]; [2930; 9357]; [4673; 8613]; [2620; 8377]; [319; 11045]; [2117; 10008]; [4548; 6632]; [1879; 4178]; [4083; 8747]; [6602; 7470]; [4298; 10621]; [5612; 6731]; [4566; 4959]; [925; 4624]; [653; 7134]; [765; 959]; [2459; 10122]; [9334; 11377]; [988; 2694]; [3673; 7536]; [1364; 5425]; [9669; 11101]; [2857; 10168]; [2015; 10081]; [2287; 8325]; [6218; 10863]; [330; 3633]; [3573; 6551]; [2749; 10076]; [4526; 8162]; [1941; 3901]; [6762; 8482]; [2684; 8146]; [3969; 10688]; [7546; 8564]; [2718; 7730]; [6955; 11506]; [9063; 9197]; [7005; 10869]; [5114; 5299]; [198; 8782]; [2839; 9188]; [814; 6836]; [442; 11394]; [8257; 11019]; [1037; 6319]; [2181; 10908]; [2406; 9306]; [1845; 10959]; [1501; 4733]; [3741; 4041]; [5196; 10966]; [3453; 7546]; [4022; 9918]; [1339; 9286]; [837; 1720]; [5035; 9328]; [28; 6277]; [7022; 8944]; [2514; 2608]; [4231; 4807]; [1613; 5324]; [10890; 11133]; [980; 1247]; [2315; 2398]; [1640; 2983]; [4786; 8974]; [3869; 8548]; [4815; 7460]; [1942; 3321]; [641; 11580]; [5388; 6598]; [2903; 8957]; [485; 10286]; [414; 5158]; [2183; 6766]; [3989; 7502]; [2965; 10185]; [6067; 8734]; [5814; 9042]; [9678; 10358]; [2080; 2100]; [712; 9137]; [7307; 7369]; [345; 7623]; [803; 2085]; [4624; 6737]; [2198; 4041]; [2141; 3507]; [240; 2911]; [4971; 10982]; [7865; 9582]; [8331; 10321]; [2861; 6048]; [5404; 10083]; [9638; 10178]; [560; 7962]; [930; 7495]; [116; 4538]; [2413; 5134]; [1860; 10812]; [1452; 9297]; [4721; 7020]; [407; 3963]; [2375; 5781]; [67; 6524]; [7412; 10172]; [2655; 11433]; [2906; 8800]; [3336; 7630]; [2558; 11500]; [3293; 4550]; [5231; 8411]; [5909; 7343]; [2980; 9688]; [3756; 9909]; [5951; 10198]; [5438; 8889]; [7710; 11118]; [4697; 11106]; [4837; 6979]; [3169; 9560]; [3845; 5413]; [276; 7398]; [481; 8584]; [2696; 10279]; [757; 7701]; [4557; 5060]; [6585; 6929]; [4554; 4762]; [3112; 8652]; [8791; 11544]; [379; 10909]; [71; 6592]; [245; 1295]; [2645; 3524]; [2423; 4643]; [6251; 6302]; [5573; 7370]; [1932; 7789]; [4452; 10120]; [496; 8461]; [3856; 6302]; [3104; 10639]; [3412; 5130]; [4876; 9135]; [2479; 11341]; [6149; 9408]; [1326; 8918]; [772; 1162]; [708; 10037]; [5844; 8772]; [1196; 6593]; [260; 2707]; [6773; 9208]; [794; 1860]; [1671; 8549]; [916; 7707]; [4718; 8145]; [8694; 10456]; [7284; 10097]; [4744; 6333]; [1877; 9556]; [4145; 5250]; [6851; 10215]; [4836; 9305]; [3299; 9925]; [7040; 10087]; [1498; 3494]; [4036; 7185]; [6620; 11221]; [3211; 11209]; [116; 8189]; [6031; 10826]; [7156; 11201]; [7032; 9445]; [8427; 11401]; [6875; 9461]; [3509; 11051]; [3068; 7144]; [4067; 9100]; [3071; 5163]; [4650; 8926]; [1042; 5321]; [5219; 11298]; [2504; 8499]; [349; 10238]; [982; 4489]; [2615; 9269]; [4215; 6719]; [5307; 11118]; [2000; 9905]; [5357; 10481]; [842; 7138]; [7870; 9389]; [2050; 6235]; [7442; 9851]; [2306; 8864]; [9181; 9365]; [7063; 10986]; [186; 2488]; [910; 8935]; [3551; 7089]; [5500; 6221]; [9641; 10289]; [8713; 11182]; [1244; 5024]; [6872; 10637]; [1073; 9114]; [10916; 11362]; [548; 4008]; [3062; 3141]; [5496; 5698]; [6888; 8137]; [8202; 11417]; [4972; 10616]; [2531; 2724]; [8384; 10899]; [1383; 4809]; [1099; 5050]; [204; 3417]; [4891; 11216]; [2413; 8330]; [1327; 7129]; [2000; 5717]; [5368; 7583]; [7542; 9277]; [818; 8191]; [353; 10306]; [2244; 6427]; [6402; 10472]; [2448; 10394]; [3263; 9789]; [923; 8365]; [5216; 5657]; [10539; 11388]; [3627; 10251]; [3474; 3593]; [681; 5045]; [452; 3495]; [2353; 3337]; [512; 3546]; [5090; 10621]; [6246; 10309]; [1630; 6914]; [3526; 7166]; [2753; 10626]; [1194; 3351]; [4717; 8538]; [7012; 8307]; [2; 5137]; [258; 9264]; [3341; 4353]; [2773; 11251]; [5636; 7532]; [1801; 4702]; [8538; 10911]; [6790; 7147]; [1957; 5215]; [4104; 9250]; [6853; 10879]; [9962; 11353]; [960; 9721]; [4012; 9661]; [6068; 7162]; [925; 10666]; [3146; 10678]; [5013; 5274]; [283; 811]; [6876; 9550]; [7657; 10115]; [5164; 5443]; [2273; 11278]; [1460; 11175]; [8617; 9110]; [3140; 10082]; [8763; 8935]; [9723; 10963]; [2233; 4682]; [1259; 10892]; [1701; 11237]; [4898; 9646]; [1912; 5041]; [769; 10476]; [1910; 1962]; [1202; 6571]; [5016; 10806]; [4858; 7214]; [1599; 3763]; [682; 4091]; [9585; 11379]; [8747; 10280]; [6510; 10489]; [2002; 8317]; [7377; 10074]; [5355; 11403]; [1329; 4841]; [250; 1401]; [155; 3793]; [7557; 8729]; [1991; 3994]; [8926; 9464]; [6568; 10844]; [957; 6366]; [55; 1310]; [4104; 8795]; [3319; 10740]; [7206; 7344]; [1318; 6530]; [5151; 7035]; [1130; 7233]; [3313; 10925]; [9443; 11272]; [3068; 3924]; [3066; 7261]; [2873; 9872]; [7797; 11168]; [5240; 8955]; [779; 3219]; [2561; 5813]; [4840; 11465]; [2679; 10006]; [623; 6089]; [5793; 10824]; [2394; 10776]; [1058; 9400]; [1486; 7403]; [5338; 5706]; [3921; 4900]; [643; 2927]; [5691; 6733]; [4033; 9278]; [943; 6602]; [1206; 5484]; [2837; 3775]; [1627; 7234]; [1563; 9693]; [2215; 7404]; [6358; 8135]; [2493; 9600]; [2226; 5284]; [1875; 4303]; [283; 4462]; [1463; 3046]; [382; 8605]; [5604; 9366]; [4017; 10623]; [1210; 8235]; [9147; 9543]; [2858; 8385]; [1889; 7769]; [6064; 7257]; [3034; 9550]; [7612; 10209]; [3807; 8719]; [3652; 5398]; [2669; 8082]; [3099; 6912]; [4374; 8766]; [816; 3770]; [5116; 8622]; [3456; 4705]; [9037; 10472]; [6663; 7966]; [1095; 6568]; [2037; 7990]; [2813; 8211]; [6352; 9767]; [9461; 9487]; [3432; 3530]; [3425; 8775]; [1245; 3102]; [4194; 5573]; [3775; 10285]; [2588; 2616]; [287; 10946]; [1397; 3873]; [5218; 8525]; [340; 8328]; [1651; 4921]; [737; 4766]; [6903; 7022]; [5445; 11133]; [4597; 9346]; [3814; 5702]; [701; 8492]; [2392; 5306]; [9140; 10950]; [140; 3729]; [2134; 6768]; [2686; 5029]; [7486; 10985]; [542; 1265]; [1266; 4706]; [3251; 10665]; [203; 5182]; [4621; 7838]; [4242; 11225]; [7884; 7998]; [2686; 5379]; [6600; 6812]; [9523; 10314]; [5882; 9979]; [4481; 10460]; [2423; 3464]; [210; 8231]; [4917; 10990]; [839; 10654]; [1020; 7282]; [829; 3550]; [4452; 8941]; [8024; 10637]; [7225; 8712]; [3975; 8787]; [173; 1933]; [2729; 10337]; [7206; 10190]; [6588; 11309]; [1801; 10476]; [180; 8739]; [3948; 8095]; [9051; 10854]; [6458; 9738]; [7917; 9235]; [10124; 10315]; [7570; 8373]; [414; 7630]; [6367; 6587]; [4037; 10015]; [4925; 10477]; [4283; 7038]; [4954; 9717]; [3956; 10615]; [2340; 6970]; [7670; 8954]; [3267; 6606]; [3953; 10317]; [2554; 10871]; [5076; 7613]; [3173; 6944]; [616; 4731]; [7560; 8035]; [736; 3335]; [958; 11261]; [3535; 7710]; [369; 5204]; [4978; 7428]; [771; 8402]; [10289; 10890]; [3443; 8875]; [3572; 4559]; [337; 5666]; [1206; 1914]; [6612; 9400]; [643; 2740]; [1073; 8740]; [607; 831]; [1099; 1293]; [1322; 3028]; [3257; 8870]; [4716; 6115]; [4401; 7043]; [9103; 9458]; [6178; 9293]; [913; 7704]; [3972; 4651]; [4211; 4667]; [129; 6841]; [1409; 2623]; [533; 5204]; [999; 4445]; [4894; 7326]; [4507; 10852]; [4080; 11539]; [1212; 5492]; [7932; 9088]; [3481; 4040]; [2116; 3424]; [1026; 5487]; [2795; 3712]; [6246; 9585]; [4518; 11361]; [828; 5502]; [1304; 5431]; [481; 11056]; [2447; 5631]; [4245; 8758]; [487; 8592]; [7636; 8164]; [2176; 10995]; [3062; 8378]; [1823; 6935]; [1009; 10394]; [4849; 7152]; [2509; 9892]; [10348; 10665]; [4873; 5294]; [3093; 6910]; [266; 3116]; [543; 1704]; [7222; 9463]; [1401; 9871]; [6922; 9171]; [387; 10990]; [843; 5379]; [5170; 8671]; [7510; 10095]; [2059; 5118]; [5722; 6932]; [4882; 5006]; [1807; 8280]; [1468; 2398]; [4324; 4678]; [1120; 11514]; [8181; 11239]; [1588; 6664]; [2766; 10837]; [1025; 1828]; [467; 2998]; [9959; 10681]; [2392; 8152]; [4064; 6444]; [7398; 10978]; [10851; 11262]; [2291; 10729]; [2348; 4847]; [2695; 9092]; [2196; 7459]; [2015; 9333]; [1537; 2161]; [4212; 5561]; [1076; 4395]; [384; 9537]; [821; 10292]; [6614; 7082]; [2880; 11474]; [1132; 7710]; [170; 9019]; [10469; 11318]; [4084; 9698]; [7969; 9639]; [10992; 11093]; [3063; 7394]; [599; 8378]; [6486; 11219]; [564; 5159]; [6032; 7107]; [5225; 5321]; [7931; 10286]; [2205; 4138]; [2743; 11361]; [214; 11196]; [7189; 9649]; [1153; 2521]; [11108; 11426]; [1645; 2229]; [3608; 10119]; [6130; 6861]; [2269; 2810]; [3229; 4838]; [176; 7679]; [5188; 8822]; [5229; 5413]; [1425; 8312]; [8081; 10203]; [1517; 4114]; [3184; 4314]; [2256; 10869]; [5991; 10085]; [5683; 5768]; [3868; 4946]; [4425; 5803]; [8480; 10851]; [4579; 9653]; [761; 2266]; [5167; 9823]; [1039; 10878]; [814; 1900]; [5510; 10162]; [6475; 6872]; [1869; 4165]; [2557; 8703]; [586; 5833]; [2805; 11434]; [864; 8029]; [2010; 7029]; [360; 3800]; [3857; 10018]; [839; 9662]; [2606; 7060]; [2475; 8297]; [6282; 6827]; [9112; 10138]; [3478; 10372]; [9; 5421]; [853; 7466]; [1777; 3421]; [5388; 11461]; [3301; 8231]; [3808; 9725]; [1910; 6394]; [6987; 10938]; [69; 6603]; [306; 5792]; [3117; 9053]; [7807; 9953]; [1931; 10654]; [3482; 6707]; [2205; 8944]; [873; 11474]; [7998; 10652]; [3922; 11143]; [563; 10494]; [527; 1415]; [5917; 10620]; [8589; 10339]; [8362; 11114]; [1796; 7204]; [2238; 8303]; [1734; 4074]; [1639; 7220]; [2112; 3468]; [2545; 5979]; [1198; 3313]; [731; 4601]; [82; 10571]; [9856; 10016]; [2731; 8586]; [9339; 11217]; [7637; 7798]; [4419; 10794]; [9183; 9923]; [725; 999]; [3560; 8818]; [902; 2389]; [3587; 6477]; [380; 3216]; [10496; 10726]; [937; 2575]; [2609; 8781]; [96; 424]; [1548; 10084]; [5720; 9301]; [8342; 9657]; [1898; 10840]; [1234; 5198]; [1509; 7123]; [7737; 11011]; [3413; 11400]; [1645; 3197]; [2099; 7339]; [4072; 9501]; [4160; 9348]; [4771; 7058]; [7799; 8856]; [1639; 9798]; [2344; 4891]; [5391; 5985]; [697; 7595]; [4580; 7463]; [447; 1004]; [2811; 2822]; [980; 7883]; [2188; 3597]; [345; 7143]; [720; 6266]; [441; 6851]; [964; 8878]; [379; 5973]; [2829; 6811]; [3577; 11400]; [3265; 9593]; [4447; 10502]; [5756; 11186]; [8176; 9903]; [3298; 8952]; [9170; 11515]; [398; 10537]; [8899; 9709]; [5752; 10663]; [396; 3294]; [4635; 10903]; [9831; 10443]; [7615; 8523]; [1541; 11491]; [2205; 4301]; [5051; 5893]; [1793; 9460]; [788; 3525]; [1223; 2699]; [1945; 6067]; [1286; 7185]; [1749; 1991]; [2037; 9039]; [8467; 9678]; [4432; 10170]; [201; 3176]; [10187; 11394]; [2654; 7695]; [4858; 5848]; [9179; 10823]; [5; 6647]; [65; 6698]; [2460; 4419]; [2891; 4605]; [2490; 3507]; [867; 11523]; [5005; 5494]; [7399; 9406]; [9018; 10316]; [3906; 9723]; [6218; 11351]; [1170; 6047]; [4339; 8824]; [6271; 8733]; [1353; 10635]; [1472; 5631]; [3937; 8255]; [1726; 7433]; [5523; 7527]; [230; 10306]; [1133; 9548]; [534; 10717]; [9534; 11522]; [2132; 11504]; [3684; 11192]; [8969; 10023]; [536; 8511]; [8898; 11311]; [7716; 10402]; [11231; 11564]; [4168; 6848]; [4412; 7208]; [3538; 4200]; [4260; 9820]; [1125; 5873]; [281; 11375]; [1702; 8136]; [1630; 2783]; [4770; 4822]; [1767; 5498]; [2414; 2865]; [208; 8803]; [2598; 5426]; [6209; 6296]; [10100; 10189]; [3037; 9637]; [296; 7869]; [7168; 8853]; [255; 1452]; [2909; 10391]; [1133; 8743]; [197; 11273]; [2867; 10165]; [4618; 7784]; [623; 6951]; [1965; 5863]; [0; 3562]; [1438; 6346]; [595; 4903]; [156; 8239]; [1801; 3954]; [10512; 11072]; [5691; 7245]; [6570; 8345]; [5629; 6367]; [1585; 9025]; [1117; 7459]; [5881; 10752]; [1620; 11463]; [10266; 11016]; [2446; 4631]; [806; 2090]; [3357; 10150]; [9771; 10256]; [363; 7936]; [5530; 6738]; [1610; 7742]; [4103; 5244]; [82; 6196]; [1888; 2768]; [7020; 11183]; [6618; 10614]; [1578; 11587]; [3899; 10325]; [1124; 3311]; [6938; 8525]; [3708; 9976]; [4150; 11075]; [6041; 10229]; [4319; 5434]; [119; 4169]; [3701; 7307]; [1675; 6982]; [307; 7603]; [7244; 8982]; [1514; 9508]; [7092; 9342]; [4917; 10429]; [327; 1839]; [3857; 4033]; [4196; 4253]; [2415; 8677]; [2948; 4976]; [3732; 9222]; [709; 1352]; [330; 4739]; [8579; 11237]; [2319; 8565]; [6359; 8417]; [8138; 10713]; [7047; 9168]; [225; 7547]; [598; 3591]; [6169; 9424]; [3830; 10854]; [7562; 10553]; [9032; 11340]; [2267; 10253]; [249; 2656]; [3038; 3714]; [2760; 7153]; [8243; 10133]; [2013; 6172]; [209; 8892]; [582; 5690]; [1760; 9109]; [8637; 11191]; [7016; 8700]; [4683; 6195]; [3434; 4064]; [1477; 6542]; [1487; 7230]; [5702; 8803]; [2252; 6538]; [660; 9703]; [1969; 9633]; [4233; 7837]; [1970; 6825]; [2030; 6876]; [5535; 7350]; [3019; 8144]; [7931; 11335]; [5792; 7915]; [904; 7030]; [1339; 6204]; [191; 4879]; [4580; 9049]; [1485; 9412]; [5155; 7479]; [2035; 6846]; [1959; 2098]; [3879; 6908]; [5036; 9450]; [4131; 11293]; [222; 6070]; [605; 11470]; [4187; 8192]; [3283; 8725]; [2753; 9691]; [6765; 7495]; [6015; 6997]; [3188; 3203]; [3967; 9357]; [2193; 10788]; [2310; 11373]; [5230; 8942]; [4243; 7720]; [6228; 10673]; [60; 1174]; [7310; 7968]; [9718; 10058]; [2705; 8869]; [8743; 9627]; [1052; 5342]; [4935; 5210]; [5998; 8117]; [5055; 9476]; [1825; 10927]; [3198; 9152]; [1235; 1262]; [6377; 10365]; [3960; 4779]; [6425; 7403]; [5371; 11375]; [3191; 11364]; [6897; 9842]; [329; 9269]; [5742; 6592]; [6521; 10494]; [8818; 11090]; [2839; 10912]; [5927; 9755]; [5366; 7998]; [230; 8509]; [5505; 10062]; [371; 1574]; [2994; 4784]; [650; 10034]; [901; 985]; [4641; 11125]; [4039; 6361]; [3014; 8819]; [7547; 9735]; [8670; 9283]; [4322; 5868]; [1581; 7510]; [366; 4209]; [101; 9418]; [16; 6836]; [3025; 9358]; [4752; 8081]; [2189; 2670]; [8790; 11270]; [1030; 9100]; [6790; 10668]; [4020; 7408]; [3956; 9867]; [4825; 6115]; [4114; 7043]; [2397; 2592]; [3494; 11499]; [1161; 4830]; [774; 8356]; [2486; 6047]; [903; 4040]; [999; 10918]; [1558; 8438]; [2957; 7130]; [1004; 11262]; [8753; 9109]; [8653; 11157]; [747; 9162]; [7342; 8148]; [6977; 7461]; [1022; 11087]; [318; 354]; [1744; 8039]; [5219; 5638]; [518; 6831]; [6722; 9571]; [2357; 9959]; [4636; 9195]; [8516; 8792]; [5092; 7748]; [1976; 10267]; [703; 3578]; [5209; 8333]; [5566; 6850]; [1670; 5996]; [954; 10744]; [2191; 11360]; [7989; 9248]; [10105; 10964]; [9009; 9829]; [4062; 6829]; [5115; 5638]; [6412; 10469]; [6360; 10279]; [9803; 9875]; [7; 11580]; [6602; 9812]; [3403; 11330]; [2627; 4693]; [4769; 7630]; [745; 1895]; [2864; 10298]; [8339; 9253]; [3953; 8764]; [2356; 9333]; [644; 5226]; [3735; 10756]; [8587; 9732]; [1803; 4431]; [10168; 10912]; [6159; 6209]; [4354; 6075]; [2264; 8963]; [1791; 6299]; [299; 10826]; [6118; 9591]; [4965; 7168]; [4621; 7358]; [7590; 11205]; [1269; 1464]; [4438; 8405]; [6401; 9125]; [7958; 9911]; [3166; 10986]; [11041; 11416]; [3883; 6840]; [4313; 6424]; [8234; 8274]; [1130; 1305]; [1821; 5360]; [8914; 11416]; [98; 6756]; [6761; 9818]; [1718; 11274]; [1816; 8399]; [3547; 10304]; [9087; 9654]; [256; 11479]; [8367; 10496]; [7467; 8519]; [8432; 10891]; [1467; 10874]; [3986; 10351]; [863; 5283]; [1212; 10355]; [2110; 11505]; [2829; 4022]; [2204; 3970]; [932; 10715]; [7065; 11333]; [3940; 9602]; [7620; 9111]; [1638; 3000]; [4119; 5403]; [1048; 11048]; [3578; 11064]; [2998; 8503]; [5725; 7929]; [10772; 11510]; [2773; 9324]; [968; 2774]; [6028; 8869]; [2769; 5418]; [10389; 10991]; [5033; 7786]; [308; 3667]; [7897; 9927]; [457; 7173]; [3416; 6168]; [4852; 8125]; [5468; 11097]; [5034; 7607]; [3527; 6938]; [4316; 5112]; [3277; 6763]; [890; 9657]; [6045; 6190]; [4434; 9305]; [570; 1573]; [2068; 10824]; [3250; 5317]; [3435; 10732]; [231; 4736]; [695; 9566]; [4614; 11343]; [6140; 9810]; [1775; 6034]; [129; 10094]; [7901; 9645]; [3481; 3910]; [736; 8816]; [7957; 9954]; [8676; 9641]; [835; 1625]; [7397; 8799]; [6743; 10261]; [9699; 9739]; [1648; 11527]; [1982; 10649]; [7622; 11361]; [4592; 9490]; [10946; 11043]; [1326; 2616]; [109; 4904]; [7273; 10426]; [2256; 5933]; [6485; 8690]; [5616; 6026]; [4279; 8212]; [3850; 11482]; [5717; 6832]; [5490; 7607]; [6460; 10323]; [240; 11214]; [10106; 11002]; [1668; 9146]; [2038; 3761]; [4001; 5235]; [8011; 10540]; [7290; 10780]; [4031; 11493]; [6261; 10113]; [6431; 8804]; [8157; 10365]; [4112; 6005]; [3157; 4321]; [6049; 6258]; [686; 1882]; [5016; 11107]; [3994; 5195]; [6535; 8403]; [2997; 9701]; [1562; 10598]; [122; 8899]; [5046; 10195]; [4975; 11483]; [2932; 8525]; [5229; 9121]; [1018; 6943]; [2325; 6800]; [7089; 10093]; [3532; 8705]; [1923; 6231]; [5627; 10298]; [6735; 8060]; [3316; 7360]; [5838; 10518]; [7698; 8107]; [7293; 10273]; [3556; 3814]; [10472; 11486]; [763; 6020]; [6174; 7434]; [1695; 6754]; [4403; 6130]; [6574; 8307]; [1772; 7940]; [1682; 11430]; [306; 856]; [2833; 10774]; [2967; 7556]; [3402; 6730]; [1052; 8001]; [7970; 10084]; [4813; 6186]; [7431; 9052]; [280; 2237]; [1699; 8751]; [1541; 1749]; [1821; 4018]; [4128; 9466]; [8885; 11588]; [2753; 8162]; [800; 8130]; [4626; 6710]; [3729; 8414]; [5802; 7804]; [3374; 3527]; [7131; 11392]; [10178; 10234]; [904; 11112]; [9746; 10577]; [5859; 7557]; [914; 5384]; [6707; 9344]; [5671; 7506]; [1652; 2115]; [4519; 8691]; [8867; 10608]; [697; 10230]; [1186; 7011]; [2705; 10723]; [2454; 6940]; [1342; 5272]; [225; 4758]; [3888; 8070]; [1527; 10687]; [3757; 9307]; [4657; 11284]; [6930; 7322]; [429; 7971]; [4474; 5915]; [2667; 4954]; [1731; 7484]; [7618; 8073]; [2265; 10801]; [5446; 8677]; [6213; 11064]; [1287; 6689]; [1163; 4933]; [2668; 4775]; [4531; 9051]; [670; 11416]; [637; 9024]; [2622; 7813]; [1378; 6026]; [5335; 7533]; [4086; 5402]; [4953; 7239]; [5140; 7065]; [1967; 9050]; [4357; 9837]; [3056; 7516]; [2438; 8635]; [3276; 9734]; [970; 11304]; [3186; 6808]; [7821; 8001]; [851; 3476]; [5954; 6989]; [1780; 3939]; [8932; 10198]; [9090; 11538]; [5826; 7743]; [2371; 4380]; [7278; 10233]; [2400; 9282]; [3546; 4118]; [3583; 7383]; [5835; 8236]; [6381; 8904]; [4812; 11521]; [2668; 7003]; [4872; 11572]; [2448; 9703]; [7148; 11291]; [389; 570]; [8330; 9167]; [3003; 6700]; [4689; 9586]; [702; 8614]; [9317; 9608]; [105; 10610]; [2686; 8713]; [9910; 10122]; [634; 7921]; [1995; 3877]; [4044; 10787]; [2464; 9051]; [5671; 5896]; [5332; 6430]; [998; 1967]; [1989; 10478]; [659; 2501]; [1555; 6988]; [684; 10667]; [2960; 10386]; [2652; 6069]; [369; 2927]; [434; 3322]; [4484; 8026]; [906; 5761]; [4569; 9827]; [550; 4436]; [3351; 7009]; [204; 3799]; [52; 10575]; [1449; 9194]; [2827; 7763]; [4164; 5577]; [3978; 6353]; [8240; 9250]; [2075; 5684]; [58; 7357]; [10166; 10842]; [1570; 4236]; [1102; 1916]; [990; 1675]; [5802; 8422]; [669; 6198]; [750; 1464]; [440; 484]; [5520; 8709]; [2779; 10351]; [4302; 5137]; [3935; 10039]; [3312; 6650]; [7016; 10717]; [7202; 7689]; [5177; 5337]; [4082; 6302]; [3079; 7610]; [2781; 3981]; [164; 8133]; [214; 1080]; [6442; 11384]; [1435; 8333]; [4508; 8396]; [899; 5320]; [1611; 3082]; [957; 8708]; [6781; 7817]; [1774; 4766]; [3474; 7358]; [3785; 8940]; [395; 6726]; [6248; 10737]; [2599; 4125]; [6220; 6437]; [3358; 6594]; [142; 5499]; [5496; 5625]; [4799; 8171]; [547; 6716]; [4463; 8222]; [3121; 10064]; [4556; 5003]; [3771; 6948]; [5734; 8422]; [1284; 10392]; [2564; 7672]; [1432; 6880]; [4419; 5671]; [5387; 7560]; [7329; 8157]; [817; 5264]; [8721; 10596]; [3518; 9885]; [7969; 8517]; [2564; 11055]; [6886; 7587]; [1502; 8750]; [9893; 10036]; [8062; 8681]; [2616; 8212]; [11076; 11547]; [8866; 9415]; [4229; 11559]; [4472; 4901]; [5123; 9557]; [3352; 8253]; [2877; 5516]; [1736; 4608]; [2758; 7514]; [7986; 9975]; [3339; 7267]; [3836; 8073]; [7483; 10852]; [1566; 11552]; [6055; 6504]; [8264; 11417]; [5027; 9445]; [9652; 9950]; [1405; 7662]; [5756; 9096]; [9649; 9652]; [1810; 2463]; [8375; 9154]; [3767; 5620]; [3084; 6344]; [11041; 11310]; [2894; 6220]; [4451; 6252]; [9270; 10006]; [767; 10007]; [705; 9129]; [872; 1133]; [5070; 8741]; [1737; 6307]; [3362; 11169]; [4135; 5457]; [1234; 5686]; [1483; 8642]; [743; 8832]; [5223; 5950]; [2375; 3561]; [5437; 9851]; [9229; 9601]; [4589; 11447]; [4656; 7007]; [6383; 11422]; [7694; 8015]; [8191; 8821]; [4927; 5026]; [1219; 4223]; [4615; 9635]; [5492; 10662]; [538; 10655]; [1735; 5456]; [747; 1380]; [271; 11250]; [1018; 6569]; [8022; 9924]; [5904; 11545]; [2098; 7201]; [5587; 9394]; [2383; 3398]; [2350; 7422]; [8726; 11208]; [4407; 6279]; [16; 7698]; [2962; 6488]; [1729; 8243]; [8637; 9638]; [796; 8038]; [2635; 7002]; [4710; 9471]; [130; 1569]; [2590; 7259]; [3985; 9215]; [1779; 4573]; [3649; 10020]; [4263; 4995]; [1465; 6103]; [3870; 8676]; [3275; 5083]; [6876; 7517]; [620; 8751]; [5358; 6659]; [2304; 4394]; [11111; 11220]; [9020; 10500]; [653; 8110]; [7091; 8610]; [364; 1591]; [5503; 6259]; [1242; 11134]; [10287; 10958]; [6925; 10792]; [3685; 5139]; [1109; 5128]; [636; 2464]; [4326; 9077]; [5754; 7009]; [1050; 7931]; [1229; 3732]; [7154; 9309]; [4403; 11017]; [7863; 8308]; [2598; 6719]; [325; 4265]; [734; 9388]; [9851; 10778]; [9450; 10434]; [2100; 6442]; [1322; 9558]; [4550; 7280]; [7478; 11126]; [3190; 7762]; [6493; 10731]; [4970; 9529]; [5949; 10109]; [5799; 6378]; [4328; 5366]; [3216; 5950]; [5793; 6563]; [1997; 9323]; [2685; 3281]; [3638; 8302]; [3732; 7937]; [2310; 6787]; [3134; 9708]; [278; 1012]; [2697; 9707]; [4481; 8964]; [176; 2987]; [1788; 7644]; [1041; 5909]; [7276; 10968]; [3790; 8292]; [3282; 9579]; [119; 10000]; [7211; 9038]; [7889; 8724]; [7359; 9690]; [4962; 5480]; [5982; 8313]; [882; 8481]; [4208; 9744]; [3345; 10278]; [9694; 9989]; [1043; 2922]; [8598; 10352]; [4398; 9087]; [6144; 9772]; [2369; 6993]; [3831; 10171]; [4359; 6126]; [9071; 9983]; [4080; 7465]; [6074; 7498]; [5573; 9956]; [4983; 6707]; [10060; 10497]; [748; 8639]; [8833; 9845]; [9583; 11097]; [8557; 10701]; [2764; 6741]; [116; 5164]; [249; 1721]; [1178; 4436]; [2303; 8975]; [8516; 11077]; [553; 2132]; [3755; 5049]; [2724; 4309]; [4936; 8739]; [2637; 11480]; [2785; 7968]; [1114; 10278]; [2105; 8209]; [3509; 4993]; [3034; 8672]; [3476; 9771]; [1757; 10909]; [2660; 5987]; [3501; 10767]; [6357; 6631]; [725; 9944]; [1032; 10626]; [879; 962]; [2023; 5551]; [1028; 10884]; [1468; 11156]; [3137; 5013]; [9279; 9881]; [278; 8851]; [5603; 11245]; [7535; 10400]; [10709; 11269]; [1870; 4905]; [3131; 10833]; [6959; 10240]; [1572; 7722]; [833; 10766]; [1110; 9354]; [9919; 10591]; [2479; 3673]; [362; 8148]; [3932; 9017]; [8476; 10846]; [2569; 9982]; [2658; 8519]; [1223; 9416]; [5932; 6586]; [7978; 9815]; [6383; 7047]; [1257; 9000]; [6978; 10640]; [8514; 10549]; [8502; 9034]; [3932; 5984]; [7920; 9810]; [2271; 4848]; [4176; 5563]; [10387; 11002]; [5160; 6487]; [5414; 7535]; [2420; 5321]; [7086; 8079]; [7032; 11226]; [3047; 11081]; [1759; 3360]; [4979; 10990]; [5910; 8116]; [922; 11531]; [17; 2794]; [7988; 10102]; [555; 3601]; [646; 3719]; [2726; 5778]; [11031; 11454]; [2700; 4557]; [1454; 6107]; [7230; 7454]; [1698; 8719]; [2138; 8991]; [1450; 2201]; [2214; 7323]; [1756; 5691]; [5713; 10204]; [606; 3539]; [4964; 6144]; [3873; 4599]; [2006; 10003]; [3150; 8176]; [1720; 3001]; [1847; 9192]; [3717; 9721]; [374; 7353]; [4804; 5108]; [3302; 4783]; [7727; 8610]; [1091; 3961]; [2987; 3459]; [745; 2570]; [6825; 9970]; [1902; 5866]; [4880; 9075]; [2306; 4229]; [8929; 10144]; [3446; 4912]; [6663; 8861]; [2516; 10640]; [336; 4967]; [7686; 8959]; [5320; 6314]; [4697; 7089]; [4542; 10184]; [10201; 10946]; [7395; 11412]; [3561; 11436]; [3788; 4245]; [1293; 10080]; [10162; 11368]; [3161; 8284]; [3643; 7304]; [1996; 4346]; [7942; 8548]; [5462; 8999]; [2714; 10224]; [1188; 9505]; [1594; 3777]; [3743; 7885]; [6953; 11417]; [1774; 2432]; [6784; 9164]; [8062; 10535]; [1343; 3377]; [7103; 11361]; [3051; 3578]; [5726; 9230]; [6745; 6957]; [939; 8397]; [1082; 10957]; [1954; 10886]; [4447; 8388]; [1897; 8100]; [5720; 9415]; [7707; 9031]; [236; 6964]; [2288; 6975]; [6305; 9287]; [9976; 10962]; [3400; 9774]; [1452; 3670]; [6185; 7650]; [1342; 5784]; [5423; 5637]; [8578; 8708]; [8478; 10756]; [2726; 7551]; [7788; 10309]; [2674; 6637]; [3804; 7356]; [153; 671]; [2551; 7735]; [7623; 8929]; [1315; 3557]; [4073; 9466]; [5445; 9718]; [1155; 9691]; [2607; 5765]; [1741; 2618]; [1326; 10512]; [560; 4563]; [2234; 5934]; [4448; 4775]; [5148; 5186]; [7279; 8688]; [2283; 5826]; [4522; 5663]; [5273; 7517]; [6795; 11500]; [2206; 3512]; [946; 7608]; [10875; 11128]; [3241; 7377]; [1565; 10097]; [552; 3547]; [6076; 8780]; [2517; 11483]; [5497; 9103]; [242; 1786]; [902; 4276]; [4823; 6126]; [4658; 8533]; [6380; 6912]; [3386; 11114]; [6619; 9180]; [2758; 4375]; [1331; 10051]; [6131; 8837]; [6238; 9488]; [665; 7746]; [6117; 11413]; [1009; 1140]; [5059; 5844]; [5520; 6993]; [5845; 6753]; [1447; 11165]; [5860; 7061]; [2035; 4919]; [4800; 7835]; [3473; 9955]; [3686; 11002]; [9546; 9768]; [4082; 4586]; [5238; 10690]; [2978; 9195]; [7675; 11266]; [7639; 9357]; [8683; 10332]; [185; 4261]; [4235; 4801]; [8032; 9059]; [9162; 9778]; [4274; 8139]; [7849; 10106]; [4862; 9063]; [712; 745]; [469; 987]; [904; 915]; [5387; 10382]; [6934; 10480]; [4043; 11397]; [342; 4595]; [8308; 11559]; [9180; 11488]; [949; 9733]; [4823; 5321]; [1700; 7423]; [1693; 10416]; [49; 4723]; [5776; 10315]; [1853; 4632]; [6149; 6359]; [2405; 5145]; [2188; 7362]; [5; 1418]; [7661; 8900]; [2843; 8754]; [4670; 4705]; [5896; 11548]; [1342; 9785]; [2556; 8697]; [94; 4092]; [226; 5709]; [9190; 11021]; [5114; 11512]; [8185; 11502]; [10156; 10585]; [1775; 5099]; [1966; 2415]; [1297; 2845]; [3726; 9222]; [6038; 10850]; [716; 6475]; [5537; 6892]; [1796; 2943]; [5430; 6271]; [5567; 8232]; [4514; 10177]; [3196; 9407]; [7836; 10944]; [2952; 6014]; [8325; 11108]; [2664; 9519]; [7182; 9373]; [2540; 4757]; [2598; 4735]; [9869; 10154]; [6367; 6945]; [4516; 6466]; [2211; 10890]; [9802; 11561]; [1474; 10597]; [2486; 7153]; [5037; 8797]; [1867; 10299]; [2280; 6496]; [2405; 11106]; [1055; 1753]; [2548; 7250]; [2734; 3468]; [7529; 9080]; [1274; 6752]; [3269; 3977]; [1927; 5819]; [5323; 11231]; [4253; 11317]; [216; 4566]; [10269; 10596]; [1608; 2841]; [2327; 5938]; [2105; 3647]; [637; 6316]; [4563; 8510]; [1380; 4145]; [555; 7415]; [168; 10941]; [1269; 6758]; [1164; 8462]; [2976; 3351]; [293; 3473]; [3775; 10911]; [2567; 8781]; [444; 2888]; [108; 10109]; [792; 3571]; [4993; 8444]; [2968; 6092]; [850; 7713]; [4705; 11195]; [1314; 6127]; [4144; 7186]; [5040; 7509]; [1965; 10783]; [5255; 9383]; [3321; 6395]; [5879; 11462]; [6624; 10118]; [2240; 6292]; [6009; 10754]; [2836; 6323]; [1895; 8509]; [675; 11280]; [6721; 7018]; [10045; 10864]; [618; 4330]; [2015; 7113]; [4687; 6832]; [2789; 5753]; [9053; 9298]; [1789; 4326]; [2500; 9033]; [258; 8898]; [1693; 8001]; [1412; 7759]; [4710; 4722]; [937; 2770]; [4744; 9968]; [4245; 6083]; [795; 10234]; [3498; 11518]; [4083; 8007]; [6015; 7916]; [225; 3473]; [5067; 5144]; [466; 3535]; [6467; 7444]; [834; 1487]; [8999; 11290]; [427; 6990]; [2235; 11559]; [1984; 3612]; [1358; 7499]; [7620; 10217]; [2597; 8161]; [975; 1318]; [8336; 8852]; [4028; 10528]; [4181; 10770]; [3718; 9548]; [1420; 10979]; [820; 7042]; [5214; 11556]; [907; 3254]; [197; 11200]; [5359; 5494]; [2114; 5159]; [7294; 11336]; [10955; 11569]; [2371; 6478]; [181; 5779]; [253; 8099]; [5628; 9102]; [2262; 5030]; [3072; 10497]; [8035; 10967]; [3913; 4697]; [4235; 10575]; [2704; 9512]; [23; 5543]; [3787; 9661]; [2045; 6843]; [4500; 8779]; [290; 6072]; [2695; 8645]; [699; 11195]; [6829; 11542]; [5707; 10684]; [757; 8921]; [260; 1699]; [9098; 10090]; [1541; 9003]; [7697; 10571]; [8129; 10228]; [1324; 4050]; [2064; 8024]; [3648; 6469]; [3935; 9909]; [2997; 5196]; [566; 2156]; [543; 6868]; [2687; 4216]; [2150; 7017]; [5049; 5961]; [8034; 10341]; [3146; 8702]; [2619; 5775]; [5630; 9124]; [8281; 10218]; [819; 5985]; [7591; 9771]; [2853; 5447]; [4882; 10170]; [7879; 9649]; [8985; 11502]; [4360; 5335]; [872; 5996]; [1335; 1556]; [1486; 7387]; [9946; 10722]; [1106; 1504]; [3253; 4785]; [6434; 6825]; [10386; 10994]; [4128; 9149]; [1110; 2377]; [389; 1863]; [237; 2223]; [4215; 5361]; [4371; 11536]; [846; 3270]; [603; 10682]; [4395; 10432]; [4126; 5289]; [1781; 7685]; [1805; 5827]; [4050; 6233]; [7004; 9048]; [6670; 9926]; [3373; 10155]; [10193; 10949]; [3837; 8569]; [5850; 9406]; [2338; 5509]; [3124; 6418]; [2809; 5094]; [2704; 7552]; [1057; 10256]; [591; 2347]; [6821; 7062]; [7065; 9674]; [3271; 6845]; [2696; 6156]; [953; 6900]; [896; 6366]; [3544; 7943]; [7957; 10255]; [7931; 9034]; [7251; 9275]; [1826; 4021]; [2383; 11294]; [1977; 4190]; [9948; 10744]; [2637; 5926]; [11; 8834]; [1477; 3086]; [2414; 9826]; [1442; 10447]; [477; 905]; [8083; 9778]; [4781; 9663]; [137; 10636]; [4094; 5727]; [2403; 3251]; [658; 3168]; [508; 5853]; [2842; 9714]; [478; 1480]; [1307; 6997]; [1927; 10088]; [1247; 9575]; [6259; 7308]; [443; 8060]; [2728; 11305]; [1088; 2348]; [6196; 6205]; [2118; 10033]; [583; 900]; [7403; 8864]; [1233; 9118]; [7311; 9275]; [4090; 7836]; [4279; 10741]; [2417; 9319]; [5901; 11168]; [51; 10838]; [3007; 6906]; [10; 4421]; [8146; 9322]; [82; 325]; [2630; 3950]; [4899; 8914]; [71; 1664]; [10163; 11032]; [1158; 3467]; [9036; 9830]; [638; 957]; [9915; 10930]; [7545; 10795]; [9405; 11390]; [9381; 10996]; [5738; 10588]; [3152; 9889]; [6442; 8489]; [7047; 10518]; [967; 3118]; [1135; 11562]; [3649; 4279]; [1975; 2908]; [2207; 8169]; [3521; 11449]; [4044; 4054]; [4427; 10208]; [1436; 5259]; [4915; 6764]; [2332; 10500]; [3380; 8211]; [2325; 9329]; [8923; 11242]; [6841; 8356]; [5134; 9511]; [523; 6460]; [1142; 1779]; [9013; 11135]; [111; 1039]; [5840; 7458]; [1912; 3683]; [363; 7676]; [2323; 3217]; [456; 7867]; [1199; 1532]; [1722; 7723]; [2379; 5778]; [950; 8375]; [4434; 10224]; [6762; 10133]; [2898; 8036]; [749; 7338]; [6177; 6447]; [2216; 5198]; [1039; 4633]; [1591; 11562]; [6701; 9076]; [99; 3257]; [4605; 8012]; [5163; 10225]; [1835; 2473]; [3543; 9090]; [3388; 5015]; [4198; 10482]; [6032; 9856]; [5626; 8414]; [5841; 6124]; [1789; 11173]; [7434; 8819]; [5686; 9219]; [3237; 11235]; [4669; 5903]; [5862; 10384]; [2814; 4901]; [7423; 11289]; [2566; 4799]; [670; 5301]; [3650; 5173]; [1905; 9254]; [2244; 2304]; [3644; 4604]; [2123; 4229]; [1780; 7273]; [1009; 8150]; [4612; 4995]; [5453; 5611]; [7383; 11109]; [410; 651]; [186; 943]; [3200; 10979]; [1307; 10998]; [1873; 7437]; [1990; 8022]; [6348; 6463]; [491; 11378]; [1088; 2966]; [4787; 6689]; [215; 3566]; [2419; 7381]; [1171; 1688]; [391; 11147]; [1170; 8633]; [275; 7000]; [430; 4659]; [6433; 9395]; [8513; 11454]; [27; 6898]; [10003; 10264]; [6594; 10252]; [1428; 3007]; [2141; 8541]; [2700; 10225]; [6559; 11197]; [4188; 8208]; [4563; 7331]; [8945; 11084]; [9125; 9739]; [7485; 11362]; [2530; 4337]; [2494; 8844]; [539; 1569]; [6550; 10330]; [662; 9516]; [2181; 7566]; [5660; 9071]; [596; 5486]; [219; 2530]; [10700; 11481]; [7687; 10715]; [5440; 10236]; [5192; 10134]; [7649; 7979]; [6752; 10437]; [4978; 5452]; [2330; 3875]; [5093; 9374]; [1542; 6303]; [1619; 8967]; [1514; 10671]; [4877; 8029]; [1582; 2669]; [2454; 9014]; [701; 4906]; [2910; 9819]; [2503; 8906]; [3783; 6186]; [6107; 8605]; [73; 2304]; [4744; 5406]; [7020; 11541]; [327; 9768]; [1325; 8116]; [4246; 5129]; [7396; 7856]; [1044; 2212]; [349; 667]; [6881; 11382]; [6449; 9473]; [35; 2951]; [3675; 5313]; [2954; 8963]; [5863; 8595]; [1842; 9547]; [595; 1073]; [245; 2946]; [6786; 11495]; [1557; 9563]; [1252; 9681]; [3227; 7028]; [118; 5056]; [2291; 3142]; [341; 375]; [86; 5518]; [1889; 8989]; [1524; 10554]; [2290; 3671]; [6283; 7841]; [7988; 10777]; [3721; 7536]; [2132; 5714]; [5564; 11537]; [9502; 11112]; [10184; 10917]; [1811; 10210]; [4581; 6300]; [3645; 8830]; [405; 3177]; [9384; 9521]; [874; 6099]; [6634; 7667]; [221; 3999]; [56; 6406]; [3512; 6207]; [6256; 7492]; [3792; 8476]; [7030; 11050]; [3174; 9595]; [6699; 11445]; [8174; 9223]; [4727; 6475]; [4658; 8590]; [2891; 4776]; [4472; 5202]; [4759; 8642]; [6402; 10700]; [6247; 6625]; [9576; 11569]; [108; 2782]; [925; 2250]; [1140; 6376]; [5173; 6188]; [10348; 11267]; [1633; 6659]; [10311; 11385]; [6391; 10137]; [5670; 10377]; [2905; 7461]; [7175; 10219]; [1024; 8271]; [6161; 10614]; [8771; 9455]; [6570; 9321]; [4696; 7138]; [2294; 8246]; [556; 5924]; [2648; 3082]; [1300; 10771]; [6251; 9726]; [1265; 7552]; [1602; 3939]; [3231; 6291]; [1240; 2769]; [362; 9441]; [1200; 10540]; [2757; 4156]; [7083; 9475]; [4375; 7847]; [5268; 8653]; [6580; 8854]; [3770; 9201]; [1774; 5335]; [1472; 8380]; [94; 4149]; [1090; 1670]; [5386; 9813]; [1532; 2769]; [7158; 7555]; [1714; 8667]; [2677; 3796]; [629; 11074]; [7406; 8788]; [7497; 8152]; [1645; 2831]; [8835; 9574]; [7273; 9198]; [1584; 9725]; [796; 1573]; [5596; 7529]; [4911; 6672]; [10888; 10941]; [7992; 11514]; [4935; 5568]; [4162; 9028]; [1323; 10889]; [6173; 6786]; [1635; 2493]; [3866; 4721]; [9540; 11433]; [3064; 4033]; [3683; 5768]; [4117; 5471]; [3177; 4095]; [5818; 8665]; [987; 4150]; [685; 3031]; [2560; 8822]; [9111; 10919]; [1745; 6394]; [2356; 8268]; [360; 10818]; [5726; 8295]; [1089; 11193]; [8644; 11453]; [2818; 5855]; [5278; 7381]; [1166; 5963]; [7267; 7824]; [1086; 3725]; [580; 5839]; [7369; 11484]; [1728; 11301]; [10090; 11095]; [813; 1122]; [1093; 3391]; [2715; 4572]; [688; 5557]; [10; 6625]; [3747; 6668]; [7601; 9548]; [6255; 7484]; [2313; 4757]; [1902; 2971]; [1662; 9900]; [93; 5347]; [3768; 4512]; [662; 1303]; [2544; 3377]; [2244; 9501]; [2086; 2499]; [1678; 6646]; [4943; 7633]; [7936; 10376]; [5840; 9312]; [6472; 9000]; [421; 7256]; [3232; 4101]; [4027; 7782]; [543; 1769]; [5988; 8429]; [6423; 8357]; [4463; 10564]; [9406; 9658]; [1100; 10173]; [1762; 9326]; [9035; 11408]; [3309; 8670]; [1351; 7540]; [1559; 1827]; [189; 1621]; [7902; 9637]; [10742; 11384]; [9721; 11332]; [2741; 6119]; [10203; 11106]; [8527; 8908]; [4286; 5390]; [9526; 10864]; [1620; 2453]; [2401; 3018]; [1802; 8351]; [2511; 6596]; [2299; 9157]; [4066; 6555]; [865; 6492]; [3287; 6036]; [3132; 8377]; [293; 1570]; [3575; 5914]; [2422; 4245]; [5335; 6305]; [3504; 7202]; [5777; 7404]; [1792; 3849]; [2602; 9316]; [9130; 10490]; [10291; 10522]; [4866; 10930]; [5120; 8568]; [1166; 7736]; [3068; 11186]; [2101; 7987]; [2908; 7521]; [4983; 9236]; [3023; 7279]; [9967; 10583]; [3084; 8686]; [1030; 11231]; [3265; 3779]; [2050; 6894]; [9484; 9833]; [3536; 8968]; [5755; 11536]; [337; 6699]; [7173; 11409]; [112; 1104]; [5808; 11547]; [581; 6278]; [3470; 4534]; [5765; 8467]; [3216; 6869]; [428; 2279]; [2735; 3563]; [4801; 5916]; [1000; 1916]; [67; 10379]; [3914; 7584]; [1235; 6694]; [2675; 6141]; [7372; 8212]; [4282; 6290]; [2889; 4380]; [733; 8927]; [3788; 8384]; [3910; 7815]; [522; 1510]; [5126; 7554]; [8209; 9059]; [3531; 4786]; [418; 6822]; [2510; 11150]; [4781; 10525]; [3315; 3441]; [818; 7695]; [9997; 10717]; [358; 10154]; [4023; 7877]; [7333; 8607]; [10150; 10959]; [8407; 10922]; [7714; 10958]; [499; 6602]; [530; 1751]; [2025; 7321]; [6068; 10854]; [5104; 9084]; [678; 5032]; [1464; 5941]; [5688; 7600]; [6309; 10916]; [5497; 8786]; [7775; 11584]; [6658; 8818]; [2693; 5915]; [5155; 8268]; [857; 4216]; [6782; 9793]; [170; 9702]; [3043; 7425]; [6114; 6661]; [4870; 9038]; [518; 10385]; [1445; 10021]; [6801; 10974]; [10069; 11478]; [5669; 6395]; [9336; 11334]; [4523; 11532]; [6667; 8880]; [7782; 8567]; [2527; 7666]; [6255; 9875]; [5876; 6846]; [3238; 10121]; [3293; 9828]; [1550; 10572]; [354; 4288]; [8490; 9189]; [6608; 7145]; [9820; 10750]; [3278; 11398]; [1199; 5777]; [3754; 4911]; [7916; 9856]; [6789; 8654]; [2871; 4069]; [357; 5690]; [1441; 5310]; [1000; 5567]; [4895; 6950]; [3487; 5506]; [3268; 4644]; [4520; 10456]; [7064; 10929]; [6723; 10636]; [892; 4694]; [5902; 11426]; [6808; 10185]; [922; 6034]; [2047; 10573]; [2102; 3864]; [1057; 5670]; [1076; 9884]; [1272; 7544]; [1795; 9571]; [1482; 4910]; [9578; 10412]; [6390; 11365]; [980; 7143]; [3913; 11333]; [4093; 9988]; [625; 2256]; [258; 7158]; [6082; 10431]; [3749; 3762]; [2278; 2750]; [166; 7569]; [2504; 8166]; [436; 2734]; [3271; 10553]; [317; 1322]; [2808; 9331]; [1440; 5034]; [2307; 4619]; [2207; 7421]; [1909; 3792]; [6914; 10180]; [4508; 8136]; [3671; 10645]; [7525; 11273]; [2666; 8874]; [372; 1379]; [3173; 3952]; [515; 933]; [7221; 7829]; [4100; 10004]; [4074; 8783]; [1230; 9546]; [1980; 10798]; [490; 9736]; [7305; 10186]; [2172; 4552]; [7454; 9528]; [5721; 10960]; [1969; 3469]; [1791; 11276]; [6449; 7757]; [9537; 9606]; [3990; 9085]; [6083; 9097]; [1914; 7145]; [5711; 7239]; [916; 2381]; [4456; 6791]; [7288; 8677]; [7014; 9606]; [507; 641]; [1845; 8479]; [4608; 7562]; [2531; 5774]; [7073; 10186]; [1378; 3351]; [3761; 9383]; [1531; 3593]; [1469; 2715]; [9024; 10145]; [29; 9684]; [1336; 9541]; [1337; 10143]; [4391; 6746]; [4139; 4990]; [2171; 3926]; [5598; 8651]; [834; 5358]; [6654; 11141]; [4401; 5929]; [5474; 10278]; [2189; 11298]; [5828; 10806]; [6650; 11372]; [2913; 4913]; [3182; 8521]; [5683; 10802]; [3813; 6109]; [234; 7406]; [535; 10552]; [1445; 6801]; [1008; 10964]; [4764; 10303]; [1314; 8038]; [3334; 10046]; [3108; 7259]; [9406; 9634]; [8248; 9119]; [7226; 10377]; [4671; 4827]; [460; 4901]; [4854; 7163]; [2827; 11154]; [1210; 3901]; [828; 7771]; [9114; 9233]; [3290; 5960]; [7713; 8960]; [6135; 8051]; [3358; 10790]; [7095; 10079]; [10761; 11410]; [1614; 11309]; [336; 4276]; [177; 9881]; [507; 5097]; [1267; 11201]; [4144; 7942]; [8824; 11507]; [5865; 6096]; [2685; 7664]; [682; 6791]; [7230; 9341]; [1814; 1921]; [2151; 6976]; [2675; 3189]; [307; 4635]; [2218; 5165]; [9840; 11565]; [3140; 5211]; [3365; 7773]; [3790; 6259]; [3139; 11402]; [2834; 10766]; [1461; 6879]; [4415; 9694]; [6739; 7949]; [1544; 5601]; [4837; 7882]; [3968; 5218]; [8883; 10932]; [416; 11344]; [1763; 7594]; [2281; 2861]; [1250; 8537]; [6554; 9300]; [1356; 8933]; [6542; 11168]; [6537; 10824]; [1895; 2044]; [7045; 8756]; [4674; 9931]; [7659; 10901]; [7755; 10609]; [214; 7049]; [3106; 4822]; [4136; 6091]; [2102; 5905]; [4311; 10818]; [5973; 9146]; [1394; 11268]; [124; 7506]; [4286; 6789]; [81; 4426]; [1046; 7552]; [422; 10354]; [3375; 3899]; [8665; 8736]; [4563; 8006]; [2794; 10535]; [1576; 6963]; [5330; 10393]; [2167; 7404]; [5491; 11250]; [6140; 9444]; [1420; 5669]; [2230; 11136]; [1041; 6804]; [4639; 6311]; [2092; 11202]; [1376; 9534]; [9559; 10117]; [10488; 10580]; [1816; 9806]; [7793; 9157]; [3361; 8323]; [4491; 6790]; [4608; 7375]; [8625; 9687]; [903; 10253]; [2343; 5536]; [5815; 10034]; [2153; 9576]; [302; 1927]; [683; 11418]; [5590; 10855]; [2763; 7815]; [1323; 1952]; [2673; 4889]; [1711; 5444]; [3110; 4890]; [307; 6408]; [4189; 4920]; [4904; 10527]; [2391; 8586]; [1918; 6676]; [4722; 8766]; [2943; 9853]; [5799; 11379]; [2664; 10438]; [4149; 8904]; [8920; 9204]; [8758; 8876]; [974; 1394]; [6149; 6473]; [920; 10957]; [3832; 10136]; [506; 9627]; [1368; 4704]; [6259; 10024]; [7384; 8147]; [6883; 9851]; [3669; 5419]; [8215; 10704]; [1641; 2769]; [552; 2051]; [5154; 7268]; [9887; 11248]; [3207; 10434]; [7147; 10082]; [6901; 7397]; [5837; 9927]; [1833; 6322]; [7643; 11417]; [2908; 6610]; [3153; 5660]; [2158; 10993]; [756; 1450]; [637; 10618]; [3705; 3921]; [600; 4320]; [6582; 11185]; [4648; 8197]; [3870; 5651]; [3641; 5599]; [9033; 9215]; [1748; 9782]; [5512; 7484]; [4292; 10255]; [4328; 9912]; [3901; 10599]; [23; 11105]; [1685; 2263]; [613; 1522]; [1423; 6989]; [7317; 11001]; [8083; 10534]; [10369; 10941]; [1049; 2052]; [6804; 9692]; [592; 10444]; [2053; 4352]; [3042; 11282]; [4904; 5534]; [458; 830]; [9043; 9529]; [636; 9238]; [1660; 3145]; [579; 8704]; [1632; 7513]; [1790; 8853]; [948; 3848]; [2624; 6046]; [7018; 10560]; [204; 6548]; [1383; 1524]; [5605; 6520]; [5993; 6602]; [286; 2416]; [3860; 10574]; [4418; 7869]; [2866; 5929]; [4698; 10138]; [3540; 8125]; [7344; 9390]; [52; 8786]; [3321; 6509]; [8835; 11054]; [6125; 8599]; [858; 10347]; [457; 10003]; [4504; 4610]; [4949; 10888]; [6625; 6670]; [2353; 3085]; [5503; 5812]; [276; 6959]; [1581; 3737]; [2673; 8890]; [944; 2924]; [4151; 6185]; [1348; 6949]; [1167; 8823]; [5957; 6921]; [2839; 2951]; [6541; 10355]; [5362; 8963]; [4801; 10616]; [1038; 9352]; [1902; 5256]; [281; 7683]; [3832; 10754]; [4424; 8414]; [1970; 3670]; [2501; 9722]; [1876; 7418]; [350; 2535]; [1750; 11251]; [1217; 8536]; [4208; 10452]; [5887; 11413]; [1704; 7119]; [685; 7894]; [2736; 2799]; [6252; 9821]; [3162; 4893]; [2518; 7043]; [5873; 10956]; [4505; 6659]; [1678; 2865]; [4229; 10925]; [3474; 5919]; [2913; 7572]; [1011; 3341]; [10169; 11148]; [919; 10168]; [5587; 7337]; [3312; 10472]; [8226; 11080]; [1230; 5334]; [5299; 10088]; [201; 1257]; [2028; 2870]; [1946; 11139]; [5021; 5613]; [2099; 11381]; [7599; 11332]; [8370; 11209]; [2339; 10087]; [9870; 10707]; [1559; 10878]; [3429; 5745]; [3212; 7208]; [6321; 7682]; [4413; 5915]; [567; 9312]; [2023; 2876]; [8520; 11153]; [3010; 3317]; [3192; 9215]; [6862; 7282]; [6034; 7625]; [1865; 4919]; [4224; 6393]; [3169; 7511]; [3503; 6633]; [4341; 7732]; [2913; 9800]; [8089; 11317]; [4013; 5392]; [708; 5760]; [1606; 6910]; [2409; 11206]; [4274; 9139]; [7173; 8083]; [459; 8439]; [3744; 6695]; [753; 8162]; [2626; 6710]; [8004; 11394]; [170; 5303]; [5433; 6065]; [1291; 1772]; [599; 11078]; [1900; 2819]; [568; 5349]; [9644; 10902]; [6003; 10567]; [153; 411]; [5474; 10977]; [4364; 5218]; [8221; 10281]; [401; 3142]; [2019; 10997]; [3478; 10494]; [5195; 8529]; [5661; 7770]; [1175; 10083]; [246; 3204]; [3912; 10951]; [3697; 6825]; [4440; 11070]; [3352; 9042]; [2729; 9817]; [539; 5708]; [5181; 7318]; [2230; 8184]; [2195; 9883]; [5366; 7071]; [10088; 10138]; [6416; 8992]; [1963; 3117]; [7622; 8043]; [1381; 10309]; [5462; 10162]; [668; 8158]; [372; 468]; [4921; 6805]; [526; 10734]; [5414; 10121]; [2647; 7132]; [4768; 9192]; [3538; 4859]; [7843; 9301]; [2726; 8364]; [773; 1162]; [419; 664]; [2101; 8312]; [3324; 9222]; [2751; 2944]; [10844; 11181]; [4001; 8683]; [9513; 10149]; [4553; 6944]; [857; 7656]; [1839; 6999]; [70; 9528]; [4531; 8848]; [1881; 10608]; [76; 10474]; [6984; 7705]; [4275; 8104]; [6073; 11231]; [135; 11054]; [4361; 7124]; [1566; 2087]; [7011; 8747]; [8305; 9897]; [8086; 9035]; [190; 7728]; [4230; 7580]; [3698; 7719]; [1645; 9735]; [52; 7794]; [2138; 7389]; [5875; 6678]; [3167; 5050]; [5309; 7987]; [3261; 11101]; [3669; 6200]; [4280; 10326]; [7306; 9045]; [10069; 10380]; [3228; 8709]; [293; 7856]; [2972; 4582]; [9019; 9590]; [758; 9124]; [207; 11465]; [8331; 8435]; [3381; 5918]; [1751; 10511]; [1684; 2873]; [4400; 9280]; [8254; 9908]; [4850; 9516]; [590; 1030]; [6379; 7500]; [3201; 9141]; [6045; 8378]; [1580; 5152]; [1428; 7764]; [51; 9797]; [2485; 6692]; [2702; 8612]; [2480; 9731]; [1666; 6774]; [3968; 5462]; [4224; 9589]; [3262; 6734]; [2503; 8402]; [4810; 9686]; [8604; 10263]; [6990; 8943]; [5517; 7104]; [9059; 10843]; [2070; 2104]; [2345; 4029]; [757; 2432]; [5447; 9748]; [4798; 11554]; [7597; 10294]; [935; 6676]; [6855; 9657]; [1241; 7914]; [7808; 11268]; [5356; 6597]; [657; 1447]; [7912; 8585]; [3454; 8782]; [6004; 7572]; [4861; 5837]; [6941; 7896]; [7063; 7327]; [4881; 7243]; [7155; 10299]; [5622; 8409]; [147; 9454]; [10785; 11219]; [1368; 10291]; [2108; 3685]; [2328; 5903]; [7837; 10104]; [6531; 6685]; [2021; 10856]; [8704; 9689]; [5870; 11140]; [4029; 11349]; [1737; 11097]; [10670; 10680]; [9605; 10356]; [1505; 5112]; [53; 2622]; [47; 9223]; [3094; 10317]; [7884; 9169]; [3288; 11314]; [1793; 5744]; [4559; 11514]; [5526; 8297]; [8162; 8359]; [3613; 6186]; [4712; 5340]; [1196; 4707]; [6977; 7152]; [910; 10537]; [8090; 10176]; [4712; 8723]; [2959; 4615]; [1025; 2381]; [4930; 10114]; [5140; 7480]; [3389; 4199]; [155; 1744]; [2894; 3439]; [5700; 6356]; [1925; 9993]; [63; 9325]; [3205; 5021]; [5541; 11207]; [2422; 4383]; [2616; 11042]; [2544; 3060]; [873; 1960]; [1554; 10989]; [1088; 3080]; [463; 3028]; [4702; 10637]; [481; 7771]; [5847; 6002]; [978; 8577]; [24; 9747]; [4286; 6228]; [9573; 11548]; [4346; 6279]; [951; 9383]; [5030; 6911]; [3815; 10026]; [5372; 10058]; [4025; 6638]; [1203; 10358]; [107; 2053]; [5024; 8594]; [4222; 7906]; [9258; 9443]; [10937; 11158]; [326; 7052]; [35; 3870]; [3739; 7937]; [1817; 2300]; [972; 4194]; [1032; 11415]; [8537; 10060]; [6231; 8220]; [2236; 7387]; [7442; 7615]; [4333; 4889]; [10649; 10876]; [4670; 8446]; [4828; 4868]; [4735; 8841]; [7865; 10192]; [1056; 6524]; [3568; 8240]; [2898; 9923]; [6742; 9109]; [1582; 5816]; [2761; 6427]; [1603; 10076]; [8184; 8602]; [1541; 9198]; [3258; 4227]; [3161; 7300]; [1012; 6602]; [1695; 6632]; [6994; 7051]; [578; 10282]; [146; 4209]; [106; 11226]; [1315; 9794]; [4092; 7809]; [7724; 9556]; [1796; 10067]; [3503; 7414]; [7135; 9161]; [7164; 8401]; [8793; 9999]; [5703; 8077]; [6195; 8539]; [7819; 9793]; [1444; 9615]; [716; 5678]; [4771; 10726]; [1531; 11489]; [3794; 6839]; [965; 2218]; [7539; 10907]; [4725; 7348]; [3572; 11341]; [8433; 11534]; [553; 4344]; [5563; 7666]; [2972; 6623]; [7118; 11035]; [9110; 10995]; [617; 5268]; [6592; 8710]; [10719; 11190]; [1856; 10848]; [3535; 5393]; [6233; 7087]; [3874; 5613]; [6541; 11404]; [200; 9302]; [3376; 10998]; [2929; 10309]; [8233; 11072]; [1251; 11448]; [3517; 10479]; [9041; 9296]; [1283; 1537]; [474; 5340]; [1630; 11444]; [3045; 5007]; [4357; 10870]; [5828; 6220]; [2748; 4232]; [6128; 9141]; [4113; 7477]; [4359; 4500]; [2609; 10489]; [3540; 8369]; [4572; 5547]; [1650; 5653]; [1426; 3693]; [1548; 5376]; [2632; 2744]; [2511; 11085]; [1267; 9298]; [8108; 10969]; [3939; 9017]; [7991; 10384]; [5093; 7878]; [2235; 9689]; [979; 5633]; [3103; 7964]; [9034; 11134]; [701; 3410]; [7490; 9055]; [2657; 7877]; [7359; 10292]; [2125; 3852]; [2560; 10196]; [5428; 7575]; [9354; 9769]; [3623; 7441]; [3492; 7924]; [2877; 9314]; [2650; 10089]; [2718; 8503]; [1562; 1645]; [4552; 7123]; [2339; 11136]; [5259; 8705]; [7778; 8182]; [5566; 9387]; [2548; 9031]; [6529; 9434]; [190; 8159]; [4689; 6081]; [2447; 5192]; [3486; 4295]; [2132; 3868]; [9366; 10129]; [2518; 7287]; [7430; 11232]; [5785; 8347]; [6313; 10718]; [952; 9421]; [3257; 7626]; [3406; 11132]; [2477; 4253]; [3729; 10065]; [3667; 9187]; [3836; 10716]; [9469; 10257]; [8450; 11032]; [6077; 11380]; [1373; 1722]; [6641; 6992]; [9411; 9498]; [2090; 3992]; [999; 9617]; [3299; 3314]; [5394; 10569]; [5024; 5374]; [848; 8667]; [7527; 10010]; [4617; 10877]; [775; 6876]; [2359; 5321]; [1030; 11532]; [1618; 5286]; [2640; 8946]; [1476; 7862]; [4220; 9901]; [1577; 2252]; [4193; 4291]; [2164; 9367]; [7761; 9251]; [2969; 3156]; [483; 10208]; [7694; 10658]; [1715; 10480]; [10999; 11044]; [2649; 11287]; [3710; 7705]; [1026; 6471]; [6129; 9984]; [5487; 6545]; [1249; 8206]; [8157; 9601]; [2964; 9578]; [7883; 10530]; [1221; 3906]; [3322; 7596]; [5784; 5785]; [1992; 9418]; [2448; 7971]; [3115; 6714]; [6900; 9457]; [2447; 9998]; [7557; 8266]; [422; 1230]; [5817; 8527]; [1988; 8895]; [5503; 10057]; [101; 6507]; [8321; 9601]; [4224; 9215]; [8042; 10186]; [726; 11440]; [609; 4439]; [3749; 6478]; [6739; 11202]; [5705; 6781]; [6398; 10909]; [8943; 9355]; [390; 3577]; [1107; 8099]; [4555; 8039]; [793; 3967]; [125; 7251]; [1152; 10501]; [6754; 9231]; [601; 764]; [2146; 5697]; [2438; 9481]; [2736; 6694]; [57; 5804]; [239; 5286]; [1176; 5610]; [331; 8258]; [5979; 8831]; [1485; 7119]; [5318; 6870]; [1481; 9629]; [987; 6842]; [118; 4178]; [6207; 10940]; [4340; 9174]; [1642; 1818]; [1392; 1643]; [3532; 3753]; [5115; 5760]; [292; 4516]; [1690; 3737]; [10294; 10958]; [4900; 11433]; [576; 7658]; [1372; 8531]; [2313; 7099]; [3594; 11397]; [9467; 10398]; [2807; 4601]; [1252; 11031]; [192; 11051]; [1237; 2829]; [3482; 9651]; [4887; 10043]; [1021; 7900]; [2676; 11473]; [7070; 9571]; [6805; 7610]; [3169; 8373]; [3320; 8542]; [8340; 9546]; [2509; 9266]; [1791; 6771]; [3759; 8589]; [9948; 10297]; [1515; 5375]; [2005; 4256]; [474; 3193]; [2978; 11407]; [6889; 6907]; [6892; 10588]; [4213; 9698]; [639; 11339]; [3273; 8322]; [7533; 9638]; [723; 3116]; [9030; 9619]; [4052; 5808]; [1247; 5745]; [2086; 4036]; [7524; 9525]; [2266; 2691]; [2353; 10981]; [2860; 6059]; [4904; 6209]; [2484; 7465]; [5006; 10623]; [5658; 8334]; [1324; 3871]; [1824; 8358]; [4747; 5444]; [6366; 7108]; [6486; 7210]; [3194; 5531]; [1102; 1957]; [4147; 7142]; [234; 2901]; [3460; 10376]; [5079; 11286]; [5296; 9823]; [96; 2213]; [378; 6063]; [8744; 8982]; [621; 8450]; [3083; 11557]; [194; 6885]; [5970; 8986]; [213; 519]; [2484; 6310]; [4287; 9781]; [6936; 7796]; [6124; 6420]; [1769; 7496]; [52; 3045]; [1335; 11176]; [153; 10267]; [5096; 9361]; [4165; 5065]; [4170; 6163]; [6026; 8514]; [398; 649]; [6676; 10316]; [1478; 9949]; [1922; 4705]; [4938; 4988]; [1514; 3190]; [514; 10431]; [1598; 2137]; [4187; 6517]; [515; 11033]; [5933; 9454]; [5959; 10675]; [7920; 9070]; [7576; 9260]; [4520; 5414]; [5017; 6220]; [8674; 10441]; [2306; 10710]; [563; 7290]; [4086; 6061]; [1304; 2040]; [4555; 11235]; [1812; 6388]; [2531; 6075]; [6163; 7822]; [767; 1054]; [6442; 10620]; [7367; 9429]; [6374; 9173]; [1259; 4899]; [2544; 6687]; [9517; 10729]; [7089; 11370]; [8801; 9061]; [1167; 5310]; [9019; 10452]; [11321; 11392]; [4910; 8551]; [7434; 8372]; [1138; 3037]; [1664; 3083]; [3286; 3510]; [5834; 7889]; [6856; 11549]; [406; 2364]; [4469; 8027]; [1157; 6470]; [6802; 8280]; [2960; 10695]; [1191; 10218]; [9384; 11489]; [3426; 9182]; [5363; 9435]; [1194; 3319]; [724; 11506]; [339; 4525]; [4110; 9814]; [225; 3457]; [5877; 7212]; [1314; 1923]; [5737; 11339]; [7344; 11488]; [1367; 4967]; [4887; 6473]; [4317; 6882]; [8274; 8389]; [119; 9073]; [1669; 8688]; [2820; 8032]; [853; 9068]; [9139; 10530]; [8074; 10960]; [168; 8965]; [385; 7502]; [6334; 11221]; [8837; 10165]; [1172; 4849]; [2870; 4362]; [793; 1820]; [7636; 7701]; [5332; 5934]; [8685; 9020]; [1183; 11050]; [6811; 10220]; [7413; 8568]; [4360; 9157]; [5623; 8742]; [34; 8719]; [368; 1425]; [989; 4741]; [7114; 11160]; [2990; 11580]; [5688; 6104]; [4000; 7309]; [87; 9484]; [1541; 8637]; [5648; 7459]; [1047; 5096]; [2415; 2977]; [3913; 8064]; [3841; 6498]; [1081; 3926]; [1886; 2633]; [6177; 6268]; [3995; 10348]; [2350; 7463]; [638; 3356]; [4648; 10913]; [7852; 8241]; [5644; 6936]; [4462; 6027]; [3679; 4635]; [2715; 5117]; [778; 2612]; [10; 7170]; [6952; 9647]; [3495; 6211]; [2376; 9034]; [5984; 6223]; [1094; 10927]; [3797; 9959]; [1586; 11389]; [494; 574]; [4364; 11504]; [5450; 6289]; [4383; 9302]; [7339; 9534]; [2086; 3044]; [5697; 10330]; [6471; 9724]; [3970; 4410]; [1019; 5276]; [2357; 10862]; [2691; 3568]; [2322; 7643]; [4619; 8239]; [1534; 4409]; [5589; 9457]; [4840; 6895]; [2500; 9635]; [5982; 9159]; [3366; 5585]; [6392; 10720]; [3618; 9970]; [3329; 9867]; [1252; 8079]; [1470; 9470]; [1621; 6633]; [9644; 9967]; [1340; 7145]; [903; 4138]; [3200; 4734]; [10734; 11287]; [6713; 11485]; [2869; 5129]; [6348; 6634]; [4479; 8959]; [217; 6816]; [426; 10373]; [5467; 5838]; [235; 4389]; [6021; 7178]; [1509; 8270]; [4652; 9826]; [9566; 10434]; [1070; 5190]; [3902; 8574]; [6026; 10905]; [2289; 4446]; [3497; 4324]; [1317; 5067]; [1757; 5339]; [532; 7766]; [3969; 7517]; [5860; 6671]; [2899; 6849]; [1039; 2844]; [1792; 7777]; [2926; 4508]; [2994; 9338]; [6253; 6373]; [4860; 10879]; [316; 9050]; [4815; 10355]; [9202; 11446]; [8835; 9932]; [9733; 11082]; [1634; 3030]; [2289; 6674]; [1945; 6864]; [5250; 11414]; [986; 1274]; [2820; 11228]; [2373; 3369]; [1075; 11145]; [6742; 9516]; [1107; 9148]; [8576; 8890]; [5481; 5870]; [686; 1012]; [298; 11453]; [6492; 9341]; [1203; 9610]; [5799; 10875]; [2871; 10412]; [3616; 4904]; [1591; 2552]; [4271; 6296]; [4759; 9268]; [2173; 8569]; [6322; 6836]; [4973; 7507]; [2791; 4417]; [1832; 5243]; [2042; 2609]; [837; 10576]; [3160; 5977]; [521; 5617]; [6579; 10814]; [3571; 11146]; [4063; 10854]; [8566; 10430]; [6958; 10810]; [726; 5268]; [354; 9826]; [4905; 6410]; [2845; 11419]; [952; 11438]; [6544; 10978]; [5171; 10501]; [5260; 9792]; [2491; 10140]; [4791; 8001]; [190; 5638]; [1804; 2794]; [10024; 10052]; [2056; 7179]; [5569; 7514]; [1307; 5371]; [4015; 11163]; [1672; 3806]; [3232; 4109]; [10976; 11438]; [1432; 4319]; [1112; 1897]; [649; 675]; [2706; 7446]; [1698; 8410]; [180; 1136]; [618; 11161]; [4438; 6543]; [10535; 10914]; [6087; 9547]; [2418; 7918]; [2974; 3669]; [7393; 9179]; [5297; 8115]; [2439; 5762]; [291; 8672]; [2738; 5829]; [1525; 3355]; [38; 4062]; [11077; 11089]; [189; 8395]; [8881; 11299]; [3156; 11415]; [4137; 8658]; [2211; 3279]; [1746; 7646]; [368; 2661]; [6417; 8496]; [2737; 3325]; [1799; 5028]; [2079; 7297]; [3887; 11112]; [5504; 5533]; [5378; 7114]; [4282; 5225]; [4533; 9008]; [7585; 8194]; [75; 2789]; [3010; 7806]; [7428; 10462]; [2139; 8479]; [5623; 10328]; [1358; 1498]; [4317; 7663]; [8453; 11387]; [2321; 3797]; [2782; 9110]; [2412; 3161]; [41; 6588]; [886; 2442]; [383; 10489]; [1723; 5568]; [482; 1046]; [3147; 6764]; [2191; 11271]; [5202; 10456]; [3459; 11200]; [8039; 8522]; [3123; 4835]; [6069; 7008]; [1616; 7549]; [1036; 4988]; [3760; 4897]; [1743; 7324]; [3303; 6873]; [8679; 9232]; [5620; 8875]; [1737; 5974]; [9600; 11305]; [319; 2344]; [9477; 10151]; [4000; 11123]; [3007; 6703]; [6372; 10550]; [2719; 9454]; [3676; 5549]; [751; 1220]; [7287; 9425]; [4028; 10138]; [3376; 5257]; [7603; 11351]; [8138; 8477]; [1507; 3418]; [6225; 6366]; [2898; 8638]; [876; 3551]; [7061; 10021]; [5297; 9888]; [3215; 7002]; [552; 10809]; [4705; 5812]; [594; 8002]; [6528; 10689]; [3162; 6617]; [8335; 10869]; [7528; 9083]; [2147; 9763]; [2732; 10416]; [707; 8064]; [3446; 9759]; [3504; 8983]; [1384; 7525]; [852; 10670]; [4312; 4955]; [2099; 9722]; [4962; 6757]; [8471; 9602]; [6141; 7368]; [850; 10974]; [4238; 5945]; [1223; 9270]; [1345; 4537]; [841; 6724]; [8098; 10525]; [7788; 9545]; [997; 7237]; [35; 2130]; [527; 1838]; [4105; 9738]; [6195; 10987]; [8086; 10141]; [1579; 3428]; [715; 5272]; [6131; 8528]; [6904; 9232]; [3268; 3579]; [10143; 10496]; [929; 9173]; [746; 10220]; [5725; 11223]; [739; 9049]; [3748; 5155]; [3691; 4621]; [6337; 9535]; [1201; 10800]; [1387; 10024]; [10535; 10727]; [3720; 3861]; [397; 9285]; [180; 10748]; [1471; 5965]; [7047; 11388]; [1362; 5241]; [108; 2766]; [1878; 10261]; [2998; 10292]; [9792; 9865]; [5926; 7722]; [2600; 7213]; [4675; 8928]; [1822; 10329]; [2747; 9892]; [1756; 5545]; [5424; 9955]; [381; 11411]; [7258; 8575]; [2437; 8912]; [10090; 10461]; [5391; 7563]; [2275; 10082]; [6858; 8833]; [936; 5025]; [1352; 11319]; [2641; 5709]; [7103; 8637]; [439; 7602]; [8037; 9444]; [4720; 8297]; [7898; 10039]; [7736; 11209]; [895; 9538]; [9950; 10050]; [6118; 6737]; [868; 10344]; [2019; 9688]; [2795; 9909]; [5257; 8098]; [1446; 9826]; [5338; 7528]; [2163; 2270]; [2595; 2681]; [3630; 10710]; [4086; 10761]; [160; 2151]; [393; 4574]; [418; 5570]; [1168; 4570]; [4888; 9170]; [8905; 11482]; [4449; 5336]; [1682; 2347]; [5119; 8514]; [1595; 3102]; [2020; 8758]; [535; 3876]; [1769; 4975]; [1868; 9118]; [536; 10894]; [3453; 10417]; [9086; 9958]; [3723; 5582]; [390; 3902]; [3667; 7902]; [2788; 4550]; [2736; 8524]; [4229; 6851]; [2450; 7938]; [2080; 2743]; [1171; 7096]; [4285; 10166]; [885; 7264]; [8603; 9208]; [3441; 9252]; [4318; 9525]; [8886; 9496]; [4778; 10449]; [5201; 6610]; [963; 9025]; [5295; 6245]; [3835; 6523]; [1412; 9760]; [3293; 8226]; [1462; 2707]; [1153; 5335]; [5470; 7185]; [9026; 9102]; [1278; 10699]; [2641; 7482]; [3611; 10952]; [6381; 7042]; [5228; 11035]; [2632; 3232]; [4600; 5050]; [245; 6126]; [3755; 6944]; [3915; 4947]; [4506; 11050]; [8052; 8115]; [143; 9232]; [9789; 10185]; [6697; 10846]; [811; 10859]; [293; 9930]; [6297; 7694]; [7565; 7623]; [3714; 10676]; [8134; 9995]; [4865; 5856]; [3521; 6871]; [3961; 10553]; [553; 2872]; [286; 5726]; [2280; 2349]; [4790; 9654]; [3389; 7883]; [3893; 9860]; [5041; 10404]; [5561; 6498]; [3536; 4146]; [1517; 2740]; [5816; 10400]; [3378; 6189]; [2628; 5691]; [5783; 8762]; [3068; 5209]; [4260; 7560]; [6300; 10220]; [4469; 11117]; [3026; 5737]; [2348; 6051]; [544; 3109]; [11242; 11341]; [198; 2472]; [4218; 10717]; [5113; 5934]; [2406; 9412]; [5073; 8787]; [160; 9535]; [807; 6902]; [7379; 9846]; [1397; 3735]; [6505; 6838]; [1591; 6984]; [3738; 3849]; [32; 3119]; [350; 2462]; [6012; 6905]; [8940; 10751]; [6223; 11289]; [1146; 3335]; [2300; 8612]; [5106; 5113]; [3454; 7473]; [648; 9474]; [2270; 9901]; [3827; 10687]; [3109; 8192]; [2044; 7868]; [1731; 3207]; [2070; 2673]; [2233; 4357]; [8671; 9021]; [1350; 9931]; [1023; 1400]; [1267; 8176]; [7418; 9400]; [7017; 9056]; [766; 3464]; [1798; 7812]; [3379; 8992]; [5471; 6150]; [4024; 9696]; [2317; 5933]; [7239; 10566]; [763; 3166]; [286; 10182]; [5740; 7506]; [2877; 4809]; [3376; 5688]; [2104; 8269]; [4898; 9671]; [8005; 9318]; [1186; 4962]; [4298; 9117]; [2245; 4717]; [2052; 10738]; [4729; 5139]; [8839; 9894]; [310; 8674]; [8712; 11250]; [3641; 6494]; [546; 3474]; [4759; 9862]; [55; 10784]; [308; 4814]; [8613; 10490]; [7147; 9822]; [1039; 7544]; [7494; 7651]; [5247; 6418]; [3884; 9635]; [3160; 3188]; [894; 7540]; [8002; 11275]; [7071; 7733]; [3210; 5934]; [784; 3238]; [2747; 4712]; [109; 10239]; [5892; 7095]; [2062; 4609]; [659; 7673]; [4275; 9641]; [5134; 5201]; [4576; 6371]; [283; 8325]; [1250; 5862]; [3056; 8850]; [3020; 6941]; [7696; 10387]; [4423; 8758]; [457; 7165]; [3325; 10960]; [1993; 6320]; [6186; 7168]; [3166; 5985]; [8812; 9895]; [1579; 7242]; [6379; 10192]; [3418; 10370]; [4973; 10329]; [765; 2033]; [450; 2961]; [4837; 10468]; [179; 8325]; [3417; 10899]; [210; 7638]; [10443; 11569]; [2105; 9917]; [383; 5122]; [2870; 9225]; [4181; 5818]; [4515; 4940]; [2193; 2567]; [6322; 11536]; [3175; 6074]; [904; 1037]; [1627; 7259]; [6222; 11305]; [9125; 11122]; [2324; 7372]; [4328; 8847]; [8552; 11260]; [5782; 8000]; [4973; 6141]; [458; 9214]; [3080; 9570]; [250; 2849]; [4415; 11475]; [2259; 6196]; [2441; 5678]; [794; 8382]; [3039; 6536]; [1384; 2963]; [4508; 10885]; [10886; 11334]; [3374; 8512]; [10313; 11472]; [234; 811]; [4130; 11464]; [1873; 9543]; [6735; 9207]; [5861; 6199]; [71; 8926]; [7540; 7914]; [661; 9923]; [729; 1921]; [10343; 10533]; [4391; 5762]; [129; 2865]; [4102; 5659]; [1218; 1331]; [1658; 8019]; [153; 1761]; [7353; 8438]; [5703; 5963]; [8738; 9706]; [1398; 6402]; [3514; 8872]; [927; 10200]; [7644; 7863]; [1928; 6567]; [10109; 10487]; [3357; 7353]; [3751; 11444]; [368; 5483]; [9915; 10621]; [139; 3933]; [1443; 5771]; [1582; 9313]; [8056; 9470]; [10508; 11135]; [1414; 10668]; [7207; 8212]; [4903; 6445]; [1008; 3564]; [1190; 4544]; [5605; 7683]; [517; 5956]; [2963; 10058]; [3087; 5398]; [2371; 5982]; [4014; 5788]; [1567; 8631]; [2403; 2487]; [5164; 7159]; [41; 6377]; [3582; 8760]; [9115; 11103]; [7969; 9851]; [8318; 10759]; [4956; 9839]; [5505; 10835]; [4578; 4783]; [7445; 10605]; [3671; 11434]; [5943; 7247]; [704; 11043]; [4250; 7354]; [989; 1578]; [5904; 11456]; [2007; 6994]; [1262; 6840]; [845; 7491]; [4021; 5023]; [5027; 7396]; [1404; 2759]; [5483; 8201]; [4526; 9854]; [8703; 9415]; [9682; 9995]; [4828; 9438]; [6085; 9932]; [4239; 9797]; [8525; 10082]; [4079; 5378]; [2556; 4176]; [7006; 9753]; [2323; 5136]; [9409; 10745]; [1773; 11085]; [1678; 7061]; [1676; 11152]; [2636; 6764]; [1361; 5664]; [7183; 8110]; [457; 10361]; [3858; 10455]; [1365; 5783]; [2470; 4782]; [3978; 8305]; [2507; 7293]; [10975; 11243]; [3408; 8714]; [7921; 8224]; [1357; 5141]; [7678; 9220]; [1172; 9525]; [5079; 6781]; [2286; 8987]; [5328; 9737]; [2255; 3258]; [5457; 6175]; [2566; 11256]; [7604; 9456]; [94; 1799]; [6630; 9250]; [6239; 9594]; [778; 1677]; [2410; 3546]; [1808; 5198]; [4760; 7940]; [2241; 8463]; [5073; 6185]; [3541; 7149]; [1326; 2421]; [3734; 10173]; [2480; 7698]; [7898; 10283]; [3569; 6164]; [5938; 8326]; [8608; 11382]; [482; 753]; [6459; 7274]; [2290; 5322]; [2018; 7078]; [4686; 5143]; [6145; 8804]; [4634; 9117]; [489; 1143]; [5279; 6411]; [83; 455]; [1476; 5748]; [4867; 11570]; [5178; 8988]; [3994; 11416]; [4121; 7027]; [5084; 6320]; [7453; 9236]; [2902; 6236]; [10348; 10690]; [1771; 1882]; [5074; 11267]; [1836; 6441]; [91; 6358]; [4948; 6432]; [1491; 2242]; [1370; 10583]; [8027; 10447]; [5539; 11037]; [2079; 3166]; [3234; 9045]; [8947; 10043]; [6366; 10442]; [1486; 2248]; [77; 2114]; [1479; 5241]; [415; 8525]; [9167; 11480]; [7074; 8435]; [7698; 8262]; [4981; 11052]; [1311; 5815]; [4370; 6926]; [2343; 10163]; [4862; 7388]; [11111; 11399]; [7281; 8913]; [4459; 6217]; [1967; 10815]; [6532; 11269]; [312; 7996]; [5921; 9395]; [3856; 7644]; [4883; 5232]; [7995; 10885]; [1372; 10605]; [7509; 7959]; [954; 1986]; [563; 2330]; [10229; 11132]; [3192; 5385]; [2323; 2721]; [2976; 3286]; [3757; 3851]; [78; 7950]; [2163; 3937]; [2259; 10815]; [1108; 2803]; [2563; 11226]; [894; 3783]; [3473; 7475]; [6262; 8533]; [9560; 11158]; [945; 4502]; [3780; 5905]; [2627; 5734]; [4795; 7640]; [3239; 4046]; [6635; 10212]; [6237; 7133]; [7603; 10603]; [2521; 11350]; [441; 2875]; [2180; 11057]; [2271; 11175]; [4107; 4206]; [745; 3286]; [440; 9820]; [67; 190]; [7212; 9442]; [2945; 3949]; [3364; 9760]; [1513; 2865]; [6373; 8872]; [1394; 1453]; [5416; 10525]; [1015; 4086]; [9234; 9244]; [8401; 8489]; [1988; 11237]; [302; 6099]; [4192; 9390]; [296; 2120]; [1856; 6587]; [1880; 11145]; [1285; 2634]; [704; 7018]; [3771; 9518]; [944; 6478]; [2690; 9415]; [389; 4913]; [2003; 6233]; [8842; 11241]; [2803; 3842]; [3828; 7019]; [4542; 6362]; [6756; 10865]; [4075; 6896]; [2115; 9857]; [6941; 9864]; [3149; 3698]; [4135; 5449]; [1513; 5093]; [4348; 6496]; [2732; 8513]; [717; 1187]; [343; 11334]; [6595; 10358]; [3228; 5684]; [8479; 9095]; [4000; 8415]; [2415; 4083]; [2657; 10032]; [3162; 8447]; [1195; 3067]; [2841; 8806]; [11054; 11483]; [975; 4986]; [2747; 9144]; [7819; 10338]; [627; 3522]; [3211; 7558]; [6700; 7499]; [4040; 10823]; [1956; 11274]; [3924; 6676]; [4643; 5609]; [6446; 9080]; [3917; 5505]; [990; 10929]; [558; 9020]; [7097; 7320]; [5696; 7801]; [6440; 8484]; [2910; 9673]; [42; 5878]; [6891; 11574]; [2562; 5957]; [175; 2435]; [5330; 5384]; [6918; 7735]; [4431; 7015]; [785; 6336]; [7046; 10364]; [4840; 4968]; [1910; 4459]; [3429; 11177]; [4365; 6395]; [1347; 6039]; [2930; 7292]; [4048; 4244]; [3394; 5706]; [1116; 2908]; [5386; 5666]; [310; 11146]; [6036; 6714]; [7751; 10338]; [3643; 9793]; [6965; 7150]; [4625; 9890]; [6249; 11144]; [11106; 11218]; [8360; 9106]; [8246; 11448]; [5586; 8356]; [6747; 9142]; [765; 2277]; [9111; 10960]; [2478; 2822]; [728; 2395]; [669; 5198]; [1565; 6275]; [732; 9684]; [381; 8703]; [3880; 11584]; [569; 11383]; [8222; 8768]; [4526; 9480]; [2933; 6785]; [1221; 2678]; [995; 7061]; [3486; 4490]; [4324; 5589]; [2452; 3479]; [13; 6183]; [10837; 11336]; [679; 8518]; [5075; 7443]; [4677; 6616]; [6129; 9106]; [6202; 7110]; [4315; 11138]; [4046; 5995]; [1620; 3299]; [4760; 5338]; [4142; 6457]; [6994; 11247]; [452; 9643]; [56; 9643]; [2508; 7144]; [735; 5013]; [5654; 5965]; [539; 1691]; [826; 5131]; [576; 10618]; [7360; 9503]; [7293; 8281]; [2061; 2668]; [7704; 10067]; [1164; 4372]; [6492; 10447]; [9382; 11557]; [380; 9925]; [2565; 8028]; [5679; 11098]; [595; 5383]; [3735; 7422]; [1068; 1631]; [7325; 10421]; [6604; 7655]; [6320; 7896]; [833; 1764]; [1431; 9038]; [533; 1472]; [345; 8591]; [6795; 10606]; [252; 5394]; [6230; 8353]; [4568; 10779]; [1341; 9495]; [3258; 7618]; [1295; 2734]; [584; 7826]; [4381; 7920]; [4723; 11067]; [2832; 5497]; [1167; 1236]; [985; 5137]; [18; 6102]; [4185; 7227]; [5714; 9375]; [3560; 4923]; [3661; 5729]; [2778; 11303]; [3182; 11164]; [5142; 6705]; [5852; 8558]; [563; 2411]; [2710; 5692]; [7140; 9863]; [1805; 7535]; [3114; 10471]; [4308; 6479]; [5602; 7629]; [728; 4168]; [1221; 7484]; [1830; 2869]; [4773; 7747]; [9532; 10696]; [2116; 8336]; [1653; 7114]; [6775; 7671]; [4352; 10908]; [7225; 8631]; [155; 492]; [1674; 4958]; [2942; 4887]; [581; 9002]; [2828; 7983]; [3129; 11129]; [1704; 6298]; [1195; 1725]; [1822; 8239]; [2505; 8269]; [2071; 11195]; [2787; 4949]; [2031; 5380]; [7421; 8169]; [816; 2079]; [1005; 4984]; [2316; 8747]; [3589; 9020]; [659; 4347]; [2966; 9795]; [192; 5635]; [2284; 2793]; [5451; 6655]; [4360; 8116]; [4246; 11212]; [3114; 9666]; [4850; 5499]; [1806; 3168]; [1064; 8947]; [5317; 7594]; [5762; 8210]; [5125; 10807]; [8459; 8925]; [2418; 7869]; [3569; 7213]; [1327; 6324]; [9119; 11415]; [6129; 6691]; [6039; 10181]; [6779; 7739]; [1667; 7146]; [491; 9435]; [150; 2726]; [3262; 9133]; [4009; 4452]; [5471; 7630]; [6553; 9089]; [727; 11405]; [758; 10718]; [233; 7864]; [4898; 11151]; [2322; 11140]; [5273; 10274]; [3903; 10068]; [9567; 11174]; [7096; 8735]; [778; 8337]; [5924; 8514]; [4740; 6778]; [605; 10072]; [4614; 8359]; [4977; 5967]; [37; 4892]; [211; 6011]; [5171; 6964]; [6193; 6460]; [1430; 10185]; [1552; 11114]; [10086; 10426]; [4267; 7497]; [3271; 3560]; [2028; 11043]; [1982; 4282]; [7088; 11476]; [3165; 8045]; [2919; 4606]; [9861; 11247]; [3228; 6115]; [5874; 11029]; [1447; 4123]; [7772; 10573]; [1826; 4119]; [5764; 10110]; [3785; 8103]; [2291; 5387]; [8258; 11220]; [1094; 2665]; [2810; 6891]; [2954; 10053]; [588; 7408]; [10011; 10790]; [4670; 8617]; [6977; 9901]; [1050; 2743]; [3947; 7276]; [9828; 11083]; [934; 5012]; [8365; 10686]; [60; 2004]; [2353; 11526]; [3640; 4315]; [3165; 7240]; [3538; 4038]; [6019; 6441]; [3293; 9869]; [6536; 8623]; [1631; 5879]; [1080; 8220]; [584; 11022]; [7547; 11370]; [6526; 11318]; [4647; 8791]; [7143; 10728]; [2126; 2825]; [2279; 3067]; [355; 1521]; [1809; 4838]; [3020; 10649]; [2366; 5695]; [9248; 10750]; [8090; 8737]; [3542; 9418]; [4939; 8037]; [271; 4452]; [8305; 9076]; [4468; 5419]; [1013; 9226]; [5997; 10573]; [4006; 11215]; [7514; 11206]; [3871; 4382]; [5268; 7165]; [1633; 10782]; [420; 8308]; [6519; 9342]; [6641; 8773]; [4116; 5317]; [8221; 9728]; [219; 855]; [6624; 10297]; [2049; 2739]; [283; 8195]; [2005; 6574]; [6529; 7027]; [9; 9878]; [5011; 6169]; [3055; 5866]; [6134; 9881]; [268; 10546]; [3162; 9146]; [746; 7138]; [990; 9750]; [7683; 9271]; [1864; 4090]; [2296; 9382]; [3659; 6919]; [1293; 10690]; [6671; 8958]; [3372; 6862]; [882; 5871]; [3991; 8597]; [9510; 11234]; [11177; 11434]; [2406; 9900]; [494; 9145]; [2925; 5769]; [2085; 8007]; [660; 3930]; [10980; 11270]; [3917; 6554]; [4481; 8582]; [674; 1384]; [6659; 11176]; [2363; 3787]; [5004; 8357]; [814; 7780]; [2421; 7175]; [6636; 10226]; [5908; 6289]; [8425; 9103]; [5257; 11432]; [2456; 3197]; [4257; 10005]; [5769; 6884]; [3110; 11534]; [4132; 8778]; [2609; 6822]; [6149; 9734]; [6460; 7152]; [1909; 4906]; [9911; 10773]; [503; 8453]; [8505; 10910]; [2182; 10168]; [6490; 9246]; [7971; 10222]; [564; 5696]; [3996; 11519]; [3137; 8819]; [5053; 10447]; [2015; 2299]; [1340; 9300]; [1054; 6462]; [2709; 3619]; [1117; 4532]; [626; 6924]; [10328; 11219]; [49; 10326]; [1446; 5939]; [2426; 10097]; [801; 2202]; [9629; 9905]; [1262; 7515]; [5247; 10289]; [1252; 6046]; [8258; 10228]; [10276; 11409]; [11148; 11338]; [3926; 5811]; [7845; 10998]; [9405; 11301]; [3452; 9338]; [8032; 10824]; [121; 4321]; [714; 11251]; [3615; 4606]; [432; 5903]; [6197; 7815]; [564; 1858]; [6030; 9395]; [1807; 4174]; [4448; 7963]; [3132; 3856]; [117; 7181]; [7333; 8729]; [5153; 9472]; [3133; 5212]; [1474; 6401]; [5531; 5860]; [5615; 11223]; [5269; 10586]; [2375; 5570]; [3751; 7476]; [1825; 4349]; [5304; 5854]; [5705; 6952]; [1130; 3558]; [603; 11211]; [7571; 7739]; [5694; 6039]; [467; 770]; [3119; 9636]; [7560; 7580]; [1336; 6817]; [246; 8880]; [3988; 9267]; [8561; 8828]; [4423; 8441]; [332; 1484]; [4315; 4966]; [5665; 7903]; [3131; 3230]; [4758; 8919]; [1360; 1926]; [5260; 10069]; [3634; 11398]; [3567; 10176]; [360; 499]; [108; 5913]; [9947; 10671]; [4343; 9616]; [5437; 7672]; [3787; 5197]; [4313; 10905]; [3537; 4268]; [1259; 8640]; [2000; 11304]; [4865; 5002]; [2414; 10355]; [6170; 8196]; [10598; 11540]; [1599; 7927]; [971; 8358]; [5570; 9894]; [4675; 6009]; [2923; 11171]; [5082; 10305]; [3363; 9191]; [3886; 11218]; [7936; 9506]; [346; 5273]; [5163; 5948]; [1481; 5612]; [2396; 9375]; [2107; 2856]; [1666; 4611]; [10361; 11196]; [8145; 10030]; [2443; 7686]; [49; 7911]; [5873; 11184]; [4719; 10788]; [6142; 8376]; [8547; 10949]; [139; 1388]; [3942; 11096]; [5838; 11348]; [9961; 10703]; [2963; 10546]; [721; 9657]; [5891; 7976]; [5545; 7339]; [5483; 6461]; [1407; 6952]; [2993; 6224]; [6630; 8315]; [10652; 10971]; [6528; 8038]; [1392; 2887]; [9620; 10760]; [2419; 9520]; [395; 10776]; [1923; 5906]; [4342; 7431]; [7396; 10450]; [4434; 10403]; [8895; 9723]; [1191; 5233]; [8205; 9276]; [3532; 5347]; [4030; 9007]; [3068; 3900]; [363; 8205]; [7070; 10815]; [5389; 6021]; [1347; 6096]; [4853; 5260]; [288; 9724]; [3144; 11250]; [6855; 10072]; [1771; 7363]; [2146; 6486]; [3543; 9269]; [4107; 11297]; [6543; 8265]; [4692; 7786]; [8936; 9323]; [5130; 11395]; [6336; 10446]; [991; 10783]; [1070; 2970]; [3033; 4444]; [3315; 3376]; [3256; 6179]; [1862; 7077]; [135; 1938]; [926; 3191]; [2548; 10788]; [9764; 11582]; [4119; 8274]; [2880; 6831]; [1970; 4166]; [3972; 4814]; [4772; 9593]; [7328; 11581]; [3027; 3094]; [9255; 10392]; [8818; 10391]; [5020; 5908]; [8499; 11577]; [3301; 5548]; [1969; 7324]; [345; 6070]; [3016; 5564]; [254; 2919]; [1527; 10362]; [2642; 9295]; [2181; 2484]; [3170; 5250]; [3980; 10717]; [9587; 9791]; [2367; 10753]; [2608; 7432]; [217; 7174]; [1425; 7052]; [3438; 7135]; [4377; 11292]; [7744; 10304]; [3480; 10744]; [6049; 9584]; [5245; 7315]; [1033; 2283]; [3498; 4907]; [180; 10675]; [9160; 9350]; [982; 5701]; [6579; 9749]; [6075; 7772]; [4299; 6124]; [2941; 7433]; [4467; 8152]; [1724; 9721]; [7297; 9211]; [881; 1862]; [437; 4100]; [1901; 8859]; [816; 10512]; [9434; 11023]; [8842; 11111]; [5454; 5560]; [1371; 9044]; [34; 6312]; [5354; 7608]; [1517; 8115]; [9865; 11209]; [5446; 10580]; [8436; 9642]; [4573; 11180]; [3317; 11288]; [7093; 11259]; [1026; 8228]; [1518; 8690]; [3474; 8993]; [5621; 5858]; [7825; 10427]; [1825; 8618]; [5749; 8487]; [7299; 8102]; [10318; 11312]; [982; 11312]; [3718; 6320]; [2376; 3244]; [4922; 10960]; [1063; 3572]; [3588; 10411]; [7237; 9853]; [872; 9639]; [1629; 5646]; [818; 6370]; [3397; 10062]; [5103; 9436]; [590; 1258]; [3568; 4467]; [1836; 9507]; [3942; 6371]; [112; 3885]; [9239; 10881]; [4628; 7830]; [5712; 8204]; [2699; 5186]; [3454; 6782]; [5904; 8374]; [302; 976]; [2101; 9963]; [764; 5733]; [2512; 3081]; [6768; 6907]; [2012; 7639]; [675; 9825]; [5334; 9160]; [6297; 11459]; [3563; 7856]; [4527; 6593]; [2158; 4431]; [3672; 7799]; [661; 2198]; [3897; 10361]; [4012; 10873]; [3339; 5869]; [8442; 8628]; [2835; 3892]; [5604; 6927]; [1022; 8778]; [1; 6474]; [10479; 10990]; [7029; 8725]; [6877; 10583]; [396; 2839]; [4317; 5443]; [5507; 10377]; [4509; 5613]; [4837; 10582]; [890; 3347]; [2220; 4154]; [5342; 8997]; [6990; 11399]; [3781; 11475]; [8201; 10794]; [5859; 7045]; [9092; 9275]; [790; 6526]; [255; 5990]; [6829; 7509]; [9315; 11010]; [1402; 7844]; [6331; 9484]; [9846; 10646]; [197; 9395]; [3306; 5705]; [9601; 10815]; [374; 4369]; [1926; 4057]; [1010; 7963]; [3426; 3555]; [1335; 10005]; [6875; 7103]; [9063; 10385]; [369; 7408]; [1615; 9241]; [7988; 9346]; [684; 5699]; [1950; 11217]; [7526; 7972]; [4405; 6737]; [3350; 11265]; [577; 5078]; [7030; 10774]; [487; 2152]; [666; 3615]; [2456; 6824]; [10064; 10882]; [4059; 9483]; [764; 10539]; [2106; 6445]; [6736; 9546]; [1980; 10278]; [263; 5827]; [426; 7511]; [5674; 7241]; [477; 7476]; [43; 11156]; [6755; 10727]; [2555; 3046]; [7503; 8900]; [7974; 8485]; [3311; 5244]; [6449; 10620]; [2342; 5382]; [4238; 4880]; [6872; 8279]; [1280; 2323]; [6161; 6955]; [6663; 8105]; [1435; 9781]; [2144; 8026]; [3073; 4325]; [1982; 3534]; [4108; 5938]; [3411; 10736]; [3049; 9566]; [8044; 8850]; [540; 10807]; [6623; 11308]; [6666; 7248]; [5065; 11051]; [3061; 3160]; [320; 5556]; [7287; 9783]; [4735; 7914]; [26; 2076]; [4240; 11318]; [4925; 5005]; [157; 10638]; [1783; 2893]; [1180; 10736]; [4798; 9367]; [1400; 6538]; [5006; 10070]; [1336; 4833]; [6778; 7812]; [2172; 5105]; [10578; 11587]; [2982; 4156]; [9539; 10232]; [180; 8528]; [982; 3554]; [8765; 10811]; [1050; 5378]; [7364; 8286]; [5655; 10866]; [6961; 7115]; [514; 4617]; [2754; 8843]; [5868; 8907]; [1718; 7005]; [7896; 11530]; [8954; 9929]; [8104; 11479]; [3894; 9526]; [1946; 3422]; [4403; 5431]; [2276; 5054]; [5741; 6853]; [159; 9529]; [1005; 1821]; [1187; 7719]; [4081; 6319]; [230; 5208]; [2465; 9090]; [3053; 5096]; [8715; 9539]; [10045; 11100]; [2617; 5697]; [901; 10516]; [8344; 11289]; [3394; 8772]; [4258; 11092]; [9490; 10289]; [8019; 9277]; [7026; 10519]; [894; 2929]; [752; 10393]; [1232; 9340]; [1679; 4367]; [4412; 5493]; [9064; 10073]; [946; 3469]; [1789; 4912]; [608; 7611]; [4140; 5744]; [4515; 4867]; [3682; 4866]; [913; 4460]; [4464; 8285]; [7656; 9760]; [4392; 5965]; [873; 1651]; [6812; 8846]; [65; 6056]; [2455; 2679]; [5749; 8568]; [3579; 9999]; [2695; 6303]; [2206; 9522]; [8250; 10849]; [1495; 4034]; [8458; 11552]; [6027; 8512]; [6625; 9370]; [5947; 6274]; [4326; 7947]; [6344; 9128]; [10163; 11455]; [5930; 7798]; [6611; 10411]; [3006; 10487]; [3973; 7270]; [955; 6914]; [4255; 6202]; [574; 806]; [4299; 5750]; [3705; 11427]; [1222; 1781]; [1309; 4409]; [596; 8674]; [5394; 10797]; [5136; 5843]; [9623; 11302]; [4518; 6962]; [3142; 3558]; [660; 9598]; [268; 5610]; [3413; 7993]; [5911; 6593]; [2177; 10231]; [4156; 5822]; [778; 4369]; [1646; 9814]; [2195; 10810]; [10450; 10707]; [7394; 7615]; [3784; 9599]; [1821; 8125]; [7963; 9987]; [1301; 3363]; [1567; 8208]; [538; 3377]; [8603; 9566]; [6860; 10310]; [795; 8860]; [5053; 9349]; [6020; 6886]; [2813; 3625]; [9060; 10973]; [2258; 8476]; [2351; 5257]; [138; 9270]; [726; 3024]; [7281; 9027]; [4110; 5423]; [3796; 9959]; [219; 4913]; [967; 9502]; [5039; 5105]; [4817; 6978]; [5465; 7199]; [5685; 9417]; [6068; 9155]; [8518; 9993]; [6723; 10547]; [2630; 9179]; [4221; 8795]; [609; 7700]; [7543; 10316]; [2316; 5047]; [2350; 10293]; [6149; 11214]; [6171; 8529]; [2105; 4046]; [4193; 10130]; [1809; 6936]; [1659; 9621]; [5586; 9007]; [5648; 10639]; [1680; 7465]; [4980; 7507]; [1220; 5760]; [8556; 11574]; [1689; 8682]; [6935; 7585]; [4227; 5957]; [589; 5893]; [1518; 6356]; [740; 9472]; [6194; 7550]; [516; 4102]; [4843; 7394]; [9708; 11493]; [1771; 10185]; [7430; 8695]; [2581; 9236]; [1917; 2840]; [1972; 7465]; [5836; 8781]; [5593; 9023]; [10257; 10954]; [6119; 8315]; [5248; 5578]; [9126; 10764]; [538; 8183]; [259; 2352]; [2905; 7266]; [6754; 8304]; [2182; 10843]; [602; 9107]; [191; 8075]; [3367; 9771]; [1655; 5664]; [5295; 8026]; [8994; 10995]; [8030; 11477]; [6469; 7539]; [715; 7671]; [472; 10165]; [622; 1064]; [6468; 8068]; [4757; 6815]; [4222; 10443]; [4540; 9032]; [2976; 11239]; [6549; 10127]; [6932; 9865]; [1664; 2343]; [858; 9827]; [1138; 5680]; [6898; 7248]; [5905; 9244]; [10318; 11556]; [3193; 10126]; [191; 3887]; [4805; 10619]; [3719; 9418]; [7256; 7895]; [2648; 5115]; [8742; 9969]; [3277; 6040]; [718; 9416]; [3022; 4767]; [4572; 10044]; [5878; 7047]; [100; 4119]; [6695; 7269]; [1301; 2826]; [2980; 4541]; [2021; 5367]; [123; 2790]; [2571; 2801]; [4625; 10809]; [3730; 6924]; [4838; 5440]; [3695; 10121]; [4409; 8710]; [1138; 11291]; [4053; 4352]; [8261; 10396]; [10165; 10509]; [922; 9946]; [9292; 10355]; [996; 1035]; [163; 1034]; [1348; 5624]; [4555; 8885]; [5260; 10394]; [6920; 7895]; [2956; 8627]; [3023; 3433]; [3142; 5599]; [5731; 9979]; [1090; 10469]; [4677; 7535]; [4546; 8018]; [4322; 9064]; [497; 506]; [2773; 6641]; [3969; 5004]; [2270; 5266]; [7337; 9122]; [1520; 3987]; [4942; 8368]; [429; 2442]; [8517; 10335]; [1454; 9783]; [8450; 9113]; [3321; 4379]; [7632; 8666]; [8069; 9421]; [1568; 10070]; [2937; 10805]; [7691; 9246]; [470; 938]; [4611; 8012]; [5612; 10041]; [3458; 5589]; [11023; 11455]; [2337; 6087]; [2646; 6842]; [2400; 3403]; [9316; 11075]; [1529; 7082]; [2181; 8957]; [4077; 8455]; [6971; 7055]; [3550; 5528]; [7371; 10180]; [6342; 10267]; [8176; 8887]; [6808; 8754]; [9901; 10947]; [4543; 6915]; [1731; 10599]; [9418; 10978]; [5712; 6838]; [5629; 11499]; [4944; 10642]; [5371; 6545]; [1637; 10183]; [8509; 11167]; [574; 4270]; [3696; 11365]; [773; 1447]; [1713; 5482]; [3648; 11324]; [4458; 10375]; [3739; 5026]; [1443; 7284]; [7350; 11531]; [6820; 8333]; [7025; 9519]; [1360; 10440]; [9391; 11383]; [4857; 10996]; [704; 2407]; [2386; 7803]; [1137; 5672]; [2105; 8315]; [890; 5014]; [8739; 10639]; [895; 3106]; [5623; 6742]; [1545; 6406]; [4373; 10802]; [512; 9003]; [5596; 8302]; [8741; 9931]; [10790; 11179]; [4957; 10072]; [2557; 6345]; [7228; 9447]; [7882; 7985]; [7391; 10377]; [2568; 3471]; [2258; 8907]; [8349; 10080]; [5208; 10822]; [10554; 11087]; [6414; 9873]; [848; 5138]; [9965; 10692]; [4863; 10787]; [2559; 2604]; [6690; 8236]; [2239; 3188]; [1518; 7592]; [5601; 8272]; [6005; 8133]; [4202; 8826]; [2837; 8964]; [6013; 6496]; [2730; 10595]; [1644; 2978]; [5941; 7559]; [5593; 10259]; [2699; 5243]; [946; 1135]; [4505; 8985]; [2889; 5340]; [368; 11452]; [611; 2542]; [2402; 4498]; [6980; 11573]; [3405; 3944]; [4060; 5336]; [4778; 7050]; [2402; 7881]; [3455; 6690]; [1226; 4508]; [5491; 6168]; [632; 10185]; [1528; 10508]; [630; 2942]; [126; 5129]; [1467; 10232]; [9242; 9300]; [7316; 11091]; [6380; 7205]; [34; 11175]; [3761; 10530]; [4888; 5316]; [1331; 10344]; [1178; 2932]; [4378; 9186]; [4856; 5778]; [3046; 5300]; [214; 1162]; [3419; 10012]; [1167; 2773]; [5318; 7529]; [203; 3255]; [8107; 8587]; [7026; 7730]; [4281; 8472]; [2409; 7116]; [2907; 4360]; [5152; 8930]; [6761; 8371]; [10338; 11165]; [1900; 11561]; [749; 3549]; [688; 5525]; [1777; 3991]; [970; 2205]; [1178; 5160]; [3881; 4946]; [7652; 10235]; [394; 8461]; [2259; 2984]; [803; 7168]; [2365; 7544]; [6312; 11369]; [2389; 8692]; [3640; 5234]; [1862; 2759]; [8398; 10964]; [860; 6921]; [1822; 3360]; [8862; 9378]; [5804; 8869]; [8202; 10271]; [3589; 4141]; [5746; 8864]; [968; 7393]; [231; 10510]; [1902; 8200]; [2189; 5224]; [1129; 5998]; [31; 9698]; [1725; 6029]; [6105; 6703]; [6504; 10384]; [1397; 10135]; [1870; 5629]; [8743; 10221]; [1237; 2683]; [247; 4196]; [9080; 10745]; [6222; 7638]; [6179; 10974]; [4852; 6678]; [579; 3622]; [3311; 10562]; [3060; 6779]; [547; 11254]; [2600; 2822]; [3749; 7755]; [10562; 11542]; [5082; 8833]; [600; 1466]; [6298; 8572]; [6513; 10446]; [290; 486]; [8130; 10529]; [5981; 10585]; [66; 1532]; [2593; 5034]; [3830; 5650]; [3838; 9675]; [593; 3678]; [6575; 8291]; [3075; 7437]; [1462; 3309]; [428; 9468]; [366; 1420]; [622; 6301]; [1143; 5249]; [8483; 8553]; [5566; 8249]; [1547; 2858]; [1137; 11096]; [2921; 10353]; [1085; 10906]; [1398; 9151]; [297; 9170]; [1735; 5538]; [2079; 6102]; [4790; 11411]; [10470; 10798]; [7708; 8153]; [3868; 4979]; [8210; 9303]; [1569; 3556]; [641; 4449]; [389; 2693]; [284; 5151]; [9633; 10274]; [591; 9243]; [4077; 5503]; [200; 3171]; [780; 5732]; [467; 1071]; [9286; 10166]; [2273; 8977]; [4365; 6135]; [2706; 7324]; [5178; 11119]; [2243; 6102]; [464; 773]; [1749; 2561]; [6041; 6798]; [2053; 3726]; [2; 153]; [2266; 11189]; [5500; 5693]; [3170; 9121]; [149; 2832]; [10825; 11497]; [1200; 11394]; [4471; 5780]; [3297; 8896]; [2073; 7761]; [239; 2725]; [1171; 2705]; [5835; 9554]; [293; 9377]; [3844; 6032]; [4535; 10087]; [361; 621]; [4089; 9246]; [2248; 9455]; [293; 6344]; [10339; 10449]; [561; 7098]; [4290; 5745]; [683; 11410]; [7598; 9812]; [1561; 8875]; [360; 9444]; [2490; 2922]; [8242; 10264]; [4565; 10272]; [2767; 11309]; [2082; 11206]; [7426; 10644]; [270; 3485]; [4153; 9015]; [4378; 11577]; [4994; 9631]; [8741; 10362]; [106; 8746]; [4028; 7788]; [4492; 5448]; [3277; 9317]; [4249; 6444]; [2664; 10780]; [5085; 6716]; [4085; 5289]; [4864; 11443]; [67; 11420]; [4652; 6834]; [6013; 9960]; [4358; 6387]; [1032; 8130]; [4426; 4801]; [1002; 3003]; [10176; 11343]; [1899; 11098]; [3365; 5350]; [8175; 10516]; [7560; 9654]; [6777; 8262]; [2599; 8476]; [2229; 3281]; [85; 3681]; [2227; 6618]; [3851; 8626]; [8549; 9387]; [8759; 10917]; [3306; 3615]; [3961; 11423]; [3031; 11489]; [5980; 9796]; [7695; 11168]; [3304; 3919]; [2032; 6500]; [523; 9168]; [5724; 9052]; [7721; 9356]; [7065; 7739]; [1991; 9882]; [9028; 9213]; [6220; 9633]; [587; 3676]; [6755; 6759]; [5814; 8945]; [5318; 10993]; [1552; 6048]; [4788; 7795]; [3795; 9791]; [5821; 9335]; [2798; 7881]; [210; 11273]; [3047; 8585]; [5339; 8837]; [6569; 6754]; [1858; 6505]; [1328; 4061]; [2699; 4869]; [5706; 7318]; [1547; 6054]; [3967; 11187]; [10665; 11052]; [5094; 5973]; [821; 2917]; [6335; 7462]; [7412; 10075]; [435; 2881]; [1498; 1624]; [6446; 7478]; [3829; 8220]; [10083; 10323]; [1561; 6110]; [8617; 9655]; [3768; 7944]; [256; 10463]; [2463; 8133]; [1644; 11248]; [3979; 8164]; [9345; 9805]; [2736; 6979]; [993; 3559]; [2460; 7835]; [586; 9062]; [6248; 10095]; [2638; 9827]; [1604; 4652]; [3049; 4443]; [7987; 9609]; [1134; 6423]; [5898; 9716]; [8081; 9244]; [6367; 8474]; [2876; 5454]; [609; 6952]; [7665; 10497]; [7613; 10307]; [7983; 9086]; [4746; 7868]; [9849; 10627]; [1378; 9385]; [815; 7959]; [166; 9765]; [3619; 10049]; [5611; 10009]; [905; 10104]; [8028; 8455]; [2525; 8206]; [2797; 6450]; [6998; 11323]; [4248; 8715]; [5374; 6282]; [9549; 9934]; [4960; 10614]; [4303; 6143]; [7525; 10436]; [1503; 7178]; [2438; 10839]; [2280; 3837]; [4336; 5502]; [788; 1948]; [4955; 7237]; [1541; 6881]; [1816; 8806]; [5866; 7094]; [1213; 10233]; [282; 6691]; [2310; 8560]; [1749; 10213]; [2057; 8114]; [1522; 5326]; [4512; 10050]; [310; 5706]; [6469; 6791]; [10113; 10807]; [1204; 9366]; [4975; 8239]; [9823; 10479]; [1481; 11337]; [6713; 10534]; [1137; 5111]; [2009; 7292]; [1890; 3628]; [2659; 9094]; [3942; 10055]; [5721; 8968]; [792; 912]; [7798; 8477]; [6079; 10369]; [1134; 8196]; [2992; 4958]; [528; 5942]; [655; 799]; [8445; 9227]; [1962; 7072]; [5798; 11258]; [1399; 2236]; [492; 3252]; [4949; 11498]; [252; 7175]; [252; 759]; [2110; 4691]; [5039; 11391]; [2453; 11446]; [4354; 11288]; [1823; 11050]; [8271; 9986]; [9391; 10017]; [5150; 5745]; [2724; 3049]; [4630; 10405]; [5070; 10677]; [1698; 9069]; [793; 6748]; [6775; 10607]; [2792; 7879]; [1638; 2602]; [5627; 9282]; [766; 5302]; [1542; 5523]; [133; 1225]; [8201; 11095]; [918; 2663]; [2101; 6426]; [4747; 4924]; [1196; 1853]; [222; 1647]; [7816; 8251]; [6422; 9149]; [6006; 7773]; [4077; 11545]; [3624; 11011]; [1501; 5872]; [2526; 8295]; [683; 5425]; [6446; 10674]; [1491; 3649]; [5730; 11258]; [25; 3735]; [5410; 9590]; [2757; 7669]; [4575; 6510]; [810; 10835]; [3888; 4826]; [10383; 10778]; [2735; 3157]; [5684; 7880]; [269; 1062]; [7338; 8976]; [2625; 7900]; [2752; 9927]; [21; 179]; [5272; 10006]; [1693; 11303]; [2567; 7895]; [2195; 6037]; [68; 9824]; [5326; 10242]; [7423; 7744]; [355; 2684]; [6237; 9345]; [2710; 6668]; [8878; 9751]; [1347; 7633]; [3701; 8763]; [6661; 10612]; [4979; 6347]; [3850; 4318]; [51; 1145]; [3514; 9287]; [829; 7828]; [8492; 10065]; [7738; 7913]; [4221; 10088]; [4223; 4499]; [6705; 10510]; [1479; 5843]; [2091; 7161]; [8816; 11101]; [5115; 11469]; [97; 7505]; [1494; 6124]; [10057; 10338]; [3892; 6772]; [1156; 9512]; [3712; 11500]; [464; 1822]; [1778; 2850]; [5353; 10479]; [809; 9404]; [3579; 5494]; [9186; 10230]; [332; 2834]; [3981; 7194]; [1558; 10431]; [2926; 7558]; [7435; 10332]; [5041; 5639]; [3062; 10078]; [3098; 5571]; [2731; 4057]; [2884; 5053]; [2973; 10006]; [9788; 10456]; [4062; 8472]; [3594; 6152]; [3652; 10294]; [2532; 3847]; [3240; 4873]; [1385; 5376]; [1218; 6202]; [1221; 9883]; [4297; 10217]; [1685; 8297]; [2994; 11233]; [1836; 8466]; [3916; 4109]; [4979; 7770]; [660; 11509]; [2090; 3098]; [2303; 10561]; [4569; 5428]; [1685; 5264]; [4073; 5978]; [2946; 4776]; [394; 9323]; [7836; 9871]; [4503; 8191]; [274; 2024]; [5098; 5368]; [1483; 7008]; [4382; 10116]; [2315; 7538]; [7702; 10810]; [6143; 9951]; [4751; 5260]; [3906; 7154]; [8228; 10102]; [2311; 4386]; [8329; 10154]; [1223; 8774]; [3938; 5911]; [7921; 8639]; [68; 10442]; [5945; 6179]; [1745; 4914]; [7357; 9994]; [4370; 8951]; [4590; 7005]; [1156; 4519]; [3549; 4823]; [1596; 8955]; [1370; 8420]; [2953; 4011]; [7839; 8987]; [4050; 6502]; [275; 3723]; [254; 2846]; [4662; 11230]; [5197; 8356]; [2454; 3509]; [643; 5058]; [2757; 4449]; [3500; 4530]; [10010; 10760]; [2443; 8231]; [4848; 10804]; [2407; 6322]; [1202; 3709]; [323; 357]; [2468; 3565]; [4534; 5918]; [3973; 7571]; [5114; 8479]; [4654; 10938]; [297; 11187]; [5827; 7597]; [1312; 11424]; [10930; 11110]; [918; 1671]; [4281; 4691]; [3330; 6189]; [196; 8102]; [1686; 6912]; [8408; 11335]; [8558; 11279]; [241; 4088]; [11235; 11342]; [8988; 10863]; [8251; 10570]; [1589; 3946]; [2957; 6708]; [824; 881]; [2573; 9751]; [4161; 9850]; [6714; 8157]; [916; 3853]; [850; 5485]; [1158; 3386]; [2534; 7544]; [2933; 11225]; [411; 1651]; [3252; 7006]; [4582; 7813]; [2092; 3412]; [10063; 10720]; [3272; 7658]; [4146; 4250]; [125; 5202]; [4987; 9030]; [686; 1297]; [2998; 9341]; [4741; 6345]; [5360; 8080]; [7971; 9775]; [318; 1810]; [8315; 10339]; [2054; 4059]; [4855; 6632]; [161; 8242]; [254; 4269]; [5665; 5683]; [6096; 8121]; [6782; 11078]; [9641; 10623]; [3543; 6781]; [6867; 10627]; [176; 1353]; [4442; 10785]; [3381; 4918]; [7085; 8985]; [2531; 3058]; [1235; 4491]; [731; 3268]; [724; 6261]; [1670; 4419]; [1109; 6072]; [4777; 10482]; [2698; 11277]; [7941; 10663]; [2349; 4707]; [5888; 6263]; [881; 3212]; [2379; 6047]; [6075; 6089]; [1935; 9039]; [3858; 6950]; [2156; 7695]; [284; 8591]; [3054; 8845]; [5635; 9200]; [5612; 7496]; [5608; 10760]; [149; 5922]; [3240; 11452]; [6005; 7198]; [3425; 10451]; [405; 7016]; [9297; 10008]; [2552; 10297]; [28; 11230]; [615; 2130]; [124; 10938]; [2075; 10897]; [1392; 5205]; [4105; 7177]; [5564; 10838]; [3716; 9876]; [1666; 9157]; [3097; 11524]; [3775; 4040]; [3876; 4092]; [504; 3238]; [3711; 6499]; [7602; 10392]; [2810; 4297]; [692; 5918]; [7969; 8119]; [56; 5707]; [2681; 5580]; [651; 2884]; [2641; 6181]; [906; 6786]; [1359; 1658]; [10295; 11338]; [396; 11410]; [2545; 9102]; [10008; 10527]; [3562; 5221]; [4066; 7198]; [7770; 10511]; [857; 7274]; [4812; 8708]; [9915; 11467]; [5803; 5885]; [6372; 8257]; [3934; 10462]; [145; 1561]; [3460; 8327]; [9561; 10188]; [6861; 8421]; [8418; 8453]; [841; 5236]; [1780; 6387]; [5085; 6773]; [3213; 4663]; [9656; 10425]; [2244; 4801]; [1989; 4282]; [6393; 9484]; [2429; 3800]; [2152; 5966]; [2898; 9728]; [5439; 9930]; [5721; 8862]; [9962; 10882]; [8522; 11435]; [5356; 8175]; [1870; 5499]; [834; 4415]; [7960; 9453]; [3848; 8035]; [3044; 5766]; [807; 10139]; [2548; 8568]; [6706; 9607]; [1787; 2239]; [2882; 11073]; [5832; 9982]; [1809; 7855]; [9045; 10779]; [821; 3779]; [3592; 9893]; [2334; 2758]; [7160; 7683]; [1690; 9072]; [7596; 10465]; [31; 2347]; [500; 7521]; [3955; 4468]; [4161; 8508]; [59; 3614]; [1184; 8153]; [2141; 6500]; [4485; 11049]; [3425; 11069]; [3914; 4844]; [3829; 9432]; [2368; 9108]; [4665; 9704]; [6227; 10080]; [780; 6757]; [8615; 10040]; [7526; 9322]; [2951; 8934]; [6244; 11215]; [4382; 10547]; [3282; 7758]; [5398; 9474]; [3748; 6245]; [6776; 8043]; [4093; 9663]; [4053; 10264]; [5585; 6267]; [122; 3939]; [9149; 9573]; [7122; 10558]; [7667; 8372]; [2342; 6732]; [3981; 9048]; [7372; 7700]; [1685; 11306]; [7282; 11190]; [2639; 9355]; [717; 8636]; [7780; 9188]; [648; 10751]; [188; 8292]; [2454; 7323]; [2755; 10469]; [4472; 8504]; [9112; 10041]; [3840; 11445]; [20; 9647]; [4901; 7863]; [3166; 9222]; [6948; 7530]; [4112; 6656]; [8361; 8537]; [3621; 9802]; [2721; 5573]; [9844; 10340]; [4672; 11194]; [196; 8533]; [2811; 7718]; [2183; 8149]; [101; 9427]; [5486; 11118]; [9557; 10283]; [9710; 11279]; [470; 10233]; [4073; 7832]; [6196; 6555]; [931; 4966]; [934; 8647]; [872; 7769]; [5199; 11061]; [7682; 7875]; [7591; 8511]; [619; 907]; [1711; 5306]; [4668; 8392]; [96; 10931]; [2677; 4870]; [1480; 2929]; [5440; 11123]; [5564; 6463]; [1973; 6245]; [6902; 7885]; [2533; 4367]; [3785; 4517]; [480; 721]; [1790; 10675]; [238; 3817]; [2251; 4654]; [545; 8663]; [2847; 3187]; [697; 5270]; [3240; 9305]; [1378; 8637]; [1801; 4044]; [4853; 6236]; [4739; 9332]; [6126; 6509]; [3832; 10348]; [4921; 8814]; [1182; 7944]; [958; 5984]; [8616; 8631]; [4168; 9516]; [2050; 3967]; [4568; 10389]; [642; 1025]; [4965; 6827]; [8208; 9745]; [1057; 9346]; [3874; 6036]; [8180; 8451]; [5768; 8871]; [4524; 7084]; [1110; 6728]; [43; 9741]; [7486; 10514]; [2593; 4367]; [2968; 3490]; [3250; 6586]; [8346; 8928]; [6140; 7696]; [1162; 10301]; [1886; 9578]; [2750; 5482]; [933; 3833]; [2281; 10107]; [5116; 7346]; [3368; 7746]; [5326; 8876]; [379; 5876]; [8834; 8867]; [6700; 9955]; [67; 10485]; [5793; 10971]; [7601; 10622]; [5703; 8045]; [2546; 4147]; [619; 2330]; [343; 3186]; [4422; 6376]; [3946; 9830]; [5472; 8297]; [1355; 2371]; [2757; 5498]; [2861; 5821]; [2911; 5184]; [4256; 7777]; [78; 7991]; [272; 11240]; [1480; 11118]; [4499; 7912]; [5932; 6188]; [7195; 8779]; [7257; 9657]; [2118; 4235]; [3189; 7757]; [2217; 4214]; [4517; 8491]; [219; 3685]; [263; 10373]; [2648; 6652]; [1029; 9152]; [7696; 9704]; [9218; 11435]; [2430; 8644]; [7137; 11403]; [7624; 11521]; [5917; 7758]; [1034; 7217]; [8876; 10917]; [1030; 3311]; [772; 4773]; [7998; 11173]; [2480; 4974]; [8245; 11050]; [1738; 8501]; [3511; 9097]; [7515; 10423]; [4215; 11135]; [3349; 7988]; [7676; 11280]; [8669; 9284]; [6792; 7584]; [2817; 8127]; [699; 9748]; [2478; 8661]; [138; 821]; [2257; 6972]; [6551; 7872]; [1842; 4286]; [4930; 9545]; [730; 8280]; [7388; 10998]; [1220; 7915]; [6987; 10654]; [3265; 4503]; [5670; 7076]; [4823; 8143]; [2082; 10539]; [3926; 10601]; [2056; 2902]; [1620; 5755]; [1983; 9779]; [2945; 6218]; [4732; 5746]; [644; 2470]; [9024; 9983]; [3012; 11577]; [3690; 10509]; [7958; 10188]; [611; 3461]; [7677; 7694]; [757; 3286]; [2501; 5396]; [479; 6725]; [3712; 4791]; [3650; 3913]; [6368; 11147]; [7223; 9217]; [11190; 11412]; [7828; 11246]; [3938; 4545]; [6083; 11163]; [3740; 3806]; [8566; 8731]; [1849; 4652]; [5047; 10079]; [8562; 11241]; [2927; 4457]; [6266; 7083]; [4632; 5141]; [2983; 4766]; [1331; 1464]; [2461; 6347]; [1900; 3836]; [5501; 10434]; [3073; 6911]; [2455; 8030]; [549; 1428]; [2577; 3297]; [4044; 4567]; [202; 6982]; [5845; 7965]; [370; 9010]; [3700; 10392]; [4003; 7949]; [1663; 10689]; [2561; 5423]; [664; 1536]; [5366; 11121]; [1324; 4026]; [8574; 10820]; [3717; 4330]; [1091; 11402]; [1662; 4021]; [3124; 7199]; [724; 3472]; [5326; 8689]; [3113; 6286]; [8094; 8116]; [6046; 11230]; [8097; 8387]; [1528; 4206]; [5101; 9510]; [6; 10022]; [97; 10140]; [8655; 9846]; [2769; 5695]; [7657; 11498]; [799; 7214]; [5420; 10953]; [1432; 7881]; [5783; 9315]; [5310; 6651]; [6710; 8951]; [4695; 5035]; [4941; 8474]; [4070; 4983]; [4846; 5204]; [3099; 10710]; [3629; 7492]; [1666; 6018]; [3078; 3417]; [4308; 7780]; [1732; 7769]; [5622; 8808]; [5889; 5954]; [6052; 7638]; [5020; 8925]; [3430; 10665]; [283; 1039]; [9503; 10478]; [354; 9550]; [1252; 11454]; [8227; 9153]; [37; 8153]; [5233; 6939]; [10028; 10299]; [3015; 4946]; [4166; 4290]; [1584; 4464]; [1145; 7046]; [8928; 10139]; [2113; 3273]; [6101; 7099]; [4317; 7842]; [865; 10412]; [2169; 4336]; [9302; 9791]; [5441; 7992]; [4839; 9644]; [1365; 8483]; [1701; 2016]; [2700; 3972]; [9661; 10663]; [2794; 3607]; [7921; 10924]; [3807; 8679]; [2225; 3864]; [857; 10901]; [1941; 4105]; [3377; 6816]; [6367; 11540]; [10443; 11049]; [1665; 2709]; [10154; 10946]; [4772; 8772]; [135; 4500]; [2998; 3787]; [6322; 7633]; [5425; 9337]; [6788; 6874]; [4109; 5984]; [3028; 5127]; [1404; 1621]; [378; 7641]; [708; 2857]; [4073; 7458]; [10361; 10643]; [282; 4146]; [4783; 8557]; [2820; 7837]; [4535; 11461]; [1464; 5055]; [9116; 9385]; [6189; 8393]; [2696; 8710]; [4284; 4645]; [1054; 10260]; [3812; 11251]; [3261; 7930]; [6267; 6771]; [1534; 2791]; [4312; 9322]; [1822; 2669]; [5051; 10415]; [7356; 8620]; [128; 5557]; [1225; 8048]; [5045; 9065]; [308; 7595]; [5480; 6741]; [1691; 6508]; [1959; 7262]; [6511; 6700]; [1903; 7330]; [844; 10958]; [187; 6487]; [7188; 10325]; [4941; 9092]; [5440; 6561]; [5792; 10396]; [3416; 7063]; [4479; 10724]; [1769; 8269]; [9208; 11552]; [5438; 6865]; [2294; 7336]; [1358; 3450]; [353; 10347]; [2354; 8141]; [9790; 11153]; [72; 7853]; [3475; 4610]; [4686; 10421]; [2969; 5970]; [3528; 7654]; [601; 7416]; [2439; 6909]; [1768; 3506]; [4202; 10981]; [3462; 7007]; [6342; 7429]; [1744; 8747]; [2453; 7746]; [6976; 7944]; [936; 9742]; [5913; 7666]; [992; 10805]; [610; 4095]; [5878; 9365]; [7675; 8103]; [1945; 8629]; [3808; 6489]; [4028; 8707]; [327; 1905]; [2309; 3429]; [1906; 6422]; [1539; 11324]; [5359; 6706]; [6105; 10468]; [224; 4409]; [1164; 8414]; [2830; 5760]; [1271; 9065]; [1690; 7706]; [4861; 4894]; [2063; 6756]; [1117; 2182]; [7343; 8653]; [2769; 11119]; [6310; 7086]; [2043; 8763]; [4037; 4632]; [496; 2249]; [3978; 7435]; [2259; 9327]; [2479; 11545]; [17; 2022]; [8423; 8504]; [945; 3014]; [6118; 7266]; [5493; 11378]; [4151; 9056]; [4467; 10982]; [6112; 6697]; [8634; 9855]; [4706; 6834]; [6703; 7138]; [1813; 4672]; [2429; 6890]; [5300; 10956]; [854; 10416]; [5455; 5609]; [658; 6340]; [1835; 6905]; [5393; 11147]; [9869; 11529]; [4521; 8185]; [7162; 8591]; [407; 5940]; [679; 4184]; [1707; 11042]; [716; 6695]; [124; 9035]; [2645; 2923]; [1676; 3061]; [748; 5452]; [1245; 6258]; [5037; 10172]; [9641; 11298]; [2738; 8749]; [3638; 4310]; [3068; 10381]; [3844; 4186]; [9852; 10020]; [7183; 9818]; [2140; 10520]; [8458; 10918]; [822; 6340]; [390; 4431]; [2669; 10083]; [2602; 8861]; [5248; 7359]; [2502; 4493]; [1129; 11186]; [4742; 8719]; [4347; 11573]; [1068; 6746]; [2033; 9118]; [142; 9964]; [2905; 9047]; [4684; 8714]; [6697; 8797]; [5141; 5957]; [3336; 5069]; [4728; 7508]; [9101; 11145]; [5727; 9464]; [5233; 8175]; [403; 10678]; [6514; 6811]; [2150; 4391]; [4292; 7328]; [5092; 5691]; [1024; 3791]; [4379; 9956]; [2493; 4730]; [2338; 7071]; [2644; 10561]; [1335; 1963]; [2983; 7775]; [22; 11336]; [3281; 4207]; [2787; 7836]; [3497; 8935]; [5126; 11287]; [109; 3384]; [4651; 8550]; [7390; 9491]; [6485; 7170]; [2973; 9689]; [4341; 7570]; [1469; 6285]; [9595; 10498]; [3590; 9099]; [1188; 10961]; [358; 7471]; [2555; 10869]; [3095; 8339]; [2114; 10372]; [6286; 10343]; [991; 3627]; [3554; 9038]; [3821; 6938]; [5261; 6385]; [1837; 5341]; [8401; 8424]; [7616; 10369]; [3073; 5732]; [6311; 8306]; [6370; 8886]; [4510; 4881]; [1141; 1292]; [1008; 8118]; [4653; 7818]; [3963; 9623]; [171; 3457]; [4559; 8156]; [3435; 10635]; [2690; 6317]; [6146; 10282]; [2677; 4577]; [7157; 8865]; [1554; 4248]; [7557; 9738]; [1774; 6466]; [965; 10269]; [3639; 10815]; [3819; 9470]; [902; 3504]; [685; 4967]; [2108; 2555]; [1051; 7010]; [8771; 9781]; [2073; 9916]; [5753; 9425]; [2921; 5287]; [1861; 6061]; [2510; 6507]; [3626; 6796]; [7896; 9554]; [2165; 6472]; [10012; 11270]; [2097; 7277]; [1040; 5316]; [1592; 3577]; [581; 10629]; [1882; 7288]; [2651; 5584]; [5823; 9790]; [635; 10865]; [1688; 7422]; [2524; 7694]; [4981; 5539]; [342; 6856]; [37; 6974]; [3321; 11421]; [3176; 8788]; [3016; 10785]; [3298; 3301]; [7212; 11150]; [3045; 3609]; [4698; 5601]; [1740; 3798]; [2767; 7048]; [5291; 6869]; [3104; 9851]; [4816; 7542]; [3190; 5461]; [1196; 2422]; [509; 1492]; [3791; 10754]; [6453; 9031]; [10262; 11394]; [5215; 11196]; [4243; 6899]; [4831; 7823]; [1068; 6559]; [1257; 9464]; [1754; 10270]; [503; 4306]; [1100; 2310]; [702; 7899]; [4778; 7408]; [3002; 5760]; [5741; 7455]; [3750; 10349]; [4989; 5376]; [5959; 8846]; [1596; 3645]; [3017; 6822]; [214; 7586]; [5609; 10719]; [6566; 6814]; [3918; 5237]; [1557; 2936]; [5538; 5591]; [1522; 11051]; [2394; 10980]; [154; 338]; [3144; 5062]; [5310; 6895]; [3704; 10354]; [2671; 6535]; [176; 7452]; [1824; 7602]; [2135; 9184]; [2601; 4261]; [4221; 8779]; [1005; 1268]; [860; 5051]; [1782; 10759]; [5772; 8996]; [1314; 9193]; [2776; 5955]; [345; 2915]; [3679; 7449]; [3872; 5592]; [7915; 9125]; [563; 4306]; [10719; 11215]; [2736; 6556]; [654; 3670]; [7006; 9314]; [2840; 6879]; [3081; 9974]; [6286; 10156]; [9346; 9957]; [2302; 7203]; [5436; 10925]; [7027; 10541]; [5936; 8996]; [5960; 7138]; [1230; 2675]; [1675; 9707]; [4168; 7963]; [7919; 11122]; [2820; 9236]; [3379; 6756]; [3315; 9215]; [9507; 10440]; [3194; 10386]; [4679; 8852]; [642; 9271]; [5363; 9484]; [1168; 8563]; [1383; 10437]; [7009; 8807]; [5605; 9017]; [4896; 10772]; [2690; 6130]; [5993; 9099]; [4306; 6742]; [10211; 10943]; [4850; 7394]; [1372; 8743]; [33; 10102]; [1960; 8913]; [5444; 10762]; [4228; 4607]; [7221; 9602]; [7054; 8176]; [8683; 10528]; [923; 10610]; [202; 1428]; [5289; 10824]; [8016; 10250]; [5067; 5527]; [772; 7408]; [5531; 10357]; [5909; 9751]; [2414; 9241]; [5735; 7154]; [4369; 4438]; [2598; 5386]; [2560; 2650]; [608; 3220]; [8720; 11507]; [1758; 4591]; [1276; 11263]; [7198; 10907]; [3216; 11033]; [3837; 7179]; [7932; 10902]; [6968; 11384]; [5719; 9253]; [3461; 7831]; [1769; 11546]; [1463; 1640]; [3202; 3406]; [5629; 9710]; [581; 5904]; [1918; 2220]; [2363; 9252]; [2953; 6085]; [2199; 7343]; [5992; 10701]; [2687; 3899]; [3791; 10567]; [7917; 9439]; [2755; 8729]; [1313; 6203]; [2906; 8898]; [4124; 9464]; [562; 1316]; [5859; 8078]; [1187; 4751]; [5880; 5922]; [4106; 5101]; [1179; 4109]; [3104; 8509]; [5041; 11014]; [2121; 4777]; [3360; 6974]; [7028; 10630]; [3041; 8160]; [3987; 6318]; [1143; 1419]; [7847; 10898]; [4625; 6605]; [3205; 6282]; [993; 7487]; [7230; 7731]; [5309; 9866]; [5839; 6648]; [3659; 7391]; [199; 5936]; [4376; 6251]; [11160; 11552]; [4092; 6492]; [5644; 6180]; [6898; 8655]; [1829; 11142]; [3808; 6733]; [3927; 8145]; [1509; 3058]; [10337; 10761]; [3370; 6507]; [8170; 9457]; [691; 3365]; [2810; 4598]; [3341; 11404]; [622; 4699]; [56; 6008]; [2182; 8412]; [6669; 9707]; [4290; 6103]; [4045; 6272]; [7966; 8122]; [3171; 3264]; [22; 3391]; [5247; 7833]; [5718; 7418]; [6072; 8670]; [1263; 11296]; [461; 4192]; [4915; 8757]; [3442; 11082]; [1771; 9982]; [4029; 4234]; [3880; 10527]; [5093; 10749]; [4090; 5641]; [5495; 8285]; [3367; 9218]; [5834; 7751]; [975; 5352]; [6360; 7043]; [1473; 9012]; [912; 4249]; [9474; 11244]; [386; 8340]; [66; 8924]; [2590; 5739]; [7435; 10714]; [6201; 9615]; [5767; 6879]; [3398; 4717]; [4265; 10718]; [3800; 7915]; [1622; 3069]; [4884; 6037]; [6009; 6412]; [1595; 10291]; [6031; 7891]; [4914; 8131]; [8337; 9704]; [1608; 4110]; [1451; 10542]; [358; 1754]; [9074; 9216]; [2952; 6478]; [5280; 6387]; [5459; 8604]; [139; 4275]; [2879; 8070]; [2463; 2530]; [3412; 11539]; [1164; 10081]; [229; 9803]; [4228; 6648]; [2059; 10933]; [492; 3797]; [2303; 11293]; [503; 11503]; [5066; 6966]; [7867; 8785]; [372; 2160]; [241; 9813]; [7710; 8801]; [9296; 10325]; [1170; 3860]; [2363; 9065]; [8729; 11409]; [6774; 10550]; [8584; 8776]; [418; 1000]; [4062; 5016]; [6087; 7368]; [6950; 9463]; [4656; 9138]; [9007; 10572]; [5738; 6433]; [6147; 10802]; [5061; 10355]; [8261; 10193]; [3001; 8948]; [9157; 10516]; [5511; 10591]; [4079; 8753]; [657; 1366]; [1933; 8326]; [7100; 7128]; [3697; 6207]; [3710; 4160]; [2053; 6930]; [1157; 11488]; [6061; 11408]; [2869; 9179]; [8246; 11009]; [3017; 9831]; [2459; 11001]; [1838; 2023]; [5850; 10407]; [585; 8818]; [306; 7151]; [1388; 10862]; [3719; 3872]; [4804; 4848]; [3682; 8127]; [970; 1839]; [2558; 4190]; [6510; 8359]; [7227; 10629]; [252; 5760]; [3268; 6043]; [6258; 10767]; [9100; 9177]; [318; 9763]; [1333; 10000]; [780; 11514]; [4985; 7461]; [2455; 2907]; [6059; 9776]; [6377; 8365]; [548; 2496]; [6530; 9361]; [2335; 8440]; [76; 3440]; [55; 2563]; [9511; 10589]; [4571; 8760]; [8480; 9095]; [797; 8835]; [5465; 6004]; [7643; 9352]; [5744; 8802]; [5732; 7287]; [1439; 9995]; [1783; 9805]; [6234; 8437]; [4214; 6429]; [45; 4477]; [546; 2019]; [3772; 3832]; [1652; 3872]; [6760; 7729]; [4330; 7543]; [6384; 8381]; [2313; 9970]; [539; 4985]; [4696; 9586]; [2810; 3606]; [1179; 5345]; [7135; 10235]; [10108; 10821]; [2460; 3200]; [6128; 11020]; [3788; 9596]; [550; 4770]; [1090; 2240]; [4973; 8524]; [7089; 10240]; [864; 6623]; [4601; 6666]; [5320; 5599]; [1543; 6157]; [9383; 9784]; [1136; 8250]; [3942; 10413]; [5088; 9413]; [231; 2923]; [3128; 8210]; [1325; 1733]; [9031; 9332]; [2594; 5270]; [7547; 11468]; [8882; 9209]; [5520; 9043]; [3056; 9273]; [10659; 11459]; [1129; 8210]; [1261; 3411]; [7417; 11395]; [6426; 7802]; [9490; 10785]; [968; 6572]; [2587; 7482]; [808; 2153]; [1613; 7276]; [4388; 10880]; [4114; 5393]; [1179; 4540]; [8687; 9872]; [3135; 4843]; [1680; 5465]; [3576; 5717]; [9080; 9574]; [2824; 3638]; [7092; 9733]; [7609; 7781]; [5840; 7304]; [4945; 5671]; [5533; 5841]; [4874; 6959]; [3938; 9489]; [2325; 9525]; [5954; 7591]; [2027; 11588]; [382; 8703]; [1903; 2662]; [7319; 10836]; [1632; 8026]; [4051; 9551]; [6489; 8100]; [3469; 11081]; [1659; 9849]; [7318; 11365]; [1972; 8848]; [1134; 7749]; [1068; 9381]; [6104; 10918]; [1040; 7333]; [9839; 10134]; [4364; 11179]; [2743; 7190]; [11265; 11403]; [1272; 6178]; [5540; 5857]; [3952; 4260]; [7121; 10447]; [2049; 2837]; [1928; 11178]; [8619; 9872]; [4285; 5409]; [3202; 8643]; [4636; 9773]; [6628; 9733]; [3445; 11030]; [773; 4895]; [3380; 4219]; [6339; 9630]; [4252; 10564]; [3567; 4045]; [3682; 10973]; [2694; 6143]; [1293; 10788]; [4583; 9388]; [49; 9001]; [384; 10977]; [5616; 10174]; [2166; 7155]; [3028; 8648]; [4986; 9778]; [726; 7708]; [9900; 10386]; [6691; 10462]; [6441; 9533]; [911; 1045]; [2621; 8489]; [217; 3108]; [5636; 7793]; [6823; 9800]; [214; 6220]; [9056; 9068]; [426; 3632]; [5068; 5996]; [4347; 5482]; [4505; 6822]; [3289; 7083]; [5809; 9414]; [1021; 11389]; [5532; 10826]; [4318; 10379]; [1326; 8992]; [820; 3936]; [2418; 6975]; [4837; 6248]; [1351; 3572]; [4597; 6761]; [1362; 7868]; [1637; 9793]; [6047; 8424]; [7384; 11156]; [6081; 11418]; [1687; 2740]; [3710; 8429]; [5299; 7218]; [2369; 6709]; [10123; 11316]; [3463; 5519]; [4825; 11499]; [744; 5230]; [6297; 9703]; [3701; 8316]; [1951; 7889]; [2484; 4188]; [2580; 3896]; [369; 9490]; [8739; 9899]; [10173; 11029]; [8363; 10551]; [5772; 9508]; [2014; 2172]; [9443; 11183]; [771; 3239]; [5184; 6305]; [2006; 7946]; [8446; 9273]; [2195; 10851]; [1438; 2012]; [7979; 10561]; [696; 1375]; [5654; 7917]; [6265; 9791]; [5484; 9226]; [2911; 9486]; [6791; 9083]; [507; 1853]; [10847; 11323]; [1339; 4635]; [8222; 9915]; [8196; 8694]; [994; 1190]; [3216; 10472]; [7901; 11028]; [1123; 6673]; [3081; 7803]; [10116; 10471]; [4407; 5458]; [3637; 9189]; [5342; 9119]; [1522; 8075]; [830; 6047]; [615; 2675]; [7083; 10931]; [4178; 5756]; [9687; 9957]; [4623; 6372]; [5271; 10757]; [1658; 2644]; [3823; 4252]; [4949; 7481]; [503; 525]; [6320; 9043]; [4637; 10592]; [654; 694]; [492; 2618]; [3456; 6121]; [1553; 5452]; [1923; 4231]; [3366; 9611]; [9400; 10250]; [5444; 8591]; [1428; 9887]; [2137; 8132]; [2116; 7255]; [2758; 4278]; [8485; 9870]; [7394; 9079]; [5594; 9289]; [9859; 10949]; [6251; 7344]; [9888; 10189]; [1822; 10191]; [6648; 10952]; [1755; 2553]; [1885; 8261]; [5364; 9766]; [3194; 4027]; [9004; 11374]; [823; 1038]; [790; 9226]; [576; 10960]; [138; 10734]; [7325; 7380]; [2683; 9180]; [1998; 2661]; [7001; 8222]; [184; 6945]; [1744; 10658]; [3358; 7814]; [65; 2527]; [3229; 9124]; [3886; 7933]; [1561; 5289]; [2671; 4632]; [1673; 5530]; [4518; 7621]; [1808; 11582]; [7243; 11138]; [1020; 1932]; [546; 1295]; [2294; 8442]; [2564; 5859]; [1949; 4997]; [1066; 10571]; [7819; 10143]; [4216; 6882]; [9720; 10739]; [4740; 5347]; [747; 10976]; [3488; 7082]; [2922; 4227]; [8281; 11113]; [3682; 10331]; [4513; 9505]; [5792; 7314]; [4828; 7796]; [2834; 4757]; [5599; 7673]; [1179; 1938]; [962; 3401]; [6132; 8136]; [309; 1301]; [1287; 8072]; [294; 10068]; [1696; 9031]; [6112; 8608]; [9449; 11161]; [1445; 8631]; [10163; 10504]; [9006; 10591]; [2378; 9967]; [292; 3175]; [1123; 9519]; [7826; 9728]; [1216; 3294]; [4135; 10060]; [4947; 5774]; [4079; 5964]; [854; 1373]; [1170; 9715]; [2166; 4203]; [925; 6097]; [2635; 9377]; [2747; 3956]; [9608; 11167]; [2972; 6518]; [1203; 1877]; [198; 6522]; [1715; 9407]; [5832; 8917]; [5111; 9157]; [3177; 6169]; [1372; 6035]; [3679; 7319]; [1130; 9885]; [3176; 6698]; [4074; 7848]; [689; 5978]; [3015; 11476]; [1924; 9931]; [1146; 7385]; [590; 9382]; [655; 9777]; [2365; 4389]; [3287; 6687]; [4171; 8131]; [1084; 9890]; [2359; 6826]; [10354; 11522]; [6653; 7726]; [335; 11492]; [5182; 6714]; [5808; 9620]; [6742; 10427]; [5658; 6643]; [3077; 6288]; [6238; 9204]; [6673; 8378]; [644; 6585]; [3190; 3721]; [1693; 7904]; [2350; 5959]; [4877; 9461]; [2152; 5974]; [3652; 5472]; [816; 10260]; [10587; 10942]; [7921; 8005]; [3833; 6981]; [42; 10839]; [4452; 9470]; [7253; 11289]; [3634; 6771]; [2682; 8768]; [2116; 5913]; [8119; 11403]; [7945; 9530]; [3929; 4410]; [3106; 10035]; [2392; 5030]; [9900; 10362]; [5072; 8774]; [9955; 10069]; [1775; 2587]; [2855; 3219]; [2103; 8310]; [583; 10789]; [1201; 3254]; [2444; 5570]; [4376; 7731]; [6645; 9689]; [1597; 6637]; [4773; 10585]; [2696; 5791]; [3993; 11376]; [6011; 6141]; [7072; 8975]; [1536; 5580]; [6360; 9678]; [6324; 7769]; [3743; 7414]; [8091; 11583]; [8251; 9586]; [1184; 11544]; [1091; 2685]; [9807; 10147]; [4552; 9246]; [3052; 3332]; [10765; 11348]; [2955; 9815]; [744; 8239]; [3042; 5273]; [1822; 8044]; [4690; 7675]; [3475; 10790]; [3757; 7470]; [7707; 8560]; [4245; 10442]; [2390; 10945]; [833; 4497]; [8914; 10465]; [10; 10122]; [5987; 10227]; [3770; 4672]; [9931; 9967]; [4415; 8759]; [1777; 7870]; [3621; 7932]; [5474; 10766]; [443; 3157]; [7745; 10141]; [5191; 8199]; [310; 1315]; [3365; 7188]; [5202; 9489]; [3110; 5915]; [4906; 8215]; [2165; 10611]; [3631; 4863]; [1397; 8753]; [3159; 5807]; [4220; 8641]; [10823; 10898]; [1785; 8111]; [4534; 9740]; [241; 6032]; [3942; 9047]; [7478; 11086]; [1600; 10960]; [2436; 8980]; [6302; 7713]; [406; 6284]; [10340; 10902]; [6757; 8293]; [446; 2650]; [5260; 6060]; [1831; 3918]; [124; 6571]; [7290; 8756]; [2935; 9832]; [223; 10714]; [8091; 9973]; [5321; 7467]; [7528; 10799]; [7445; 9044]; [3763; 9462]; [920; 10827]; [1923; 3857]; [7717; 10671]; [1521; 9704]; [9049; 11524]; [4097; 8934]; [1136; 2696]; [2755; 3606]; [9071; 9593]; [2538; 5823]; [609; 3179]; [891; 6275]; [6617; 9013]; [6491; 9840]; [1625; 8522]; [1251; 10001]; [3889; 4474]; [4329; 11162]; [1693; 4684]; [2310; 5592]; [1312; 11408]; [3029; 9443]; [8743; 9912]; [6318; 10070]; [1872; 9530]; [5783; 7282]; [905; 6331]; [4671; 11276]; [34; 2840]; [4079; 7200]; [1739; 3524]; [2699; 5552]; [2585; 4484]; [184; 9954]; [1545; 5910]; [2665; 10105]; [4876; 5265]; [646; 5289]; [928; 8385]; [3352; 10254]; [5336; 6189]; [9267; 9481]; [4938; 9526]; [5657; 8459]; [1796; 6660]; [8795; 9671]; [5686; 7699]; [103; 351]; [1955; 10854]; [8732; 9322]; [2533; 3920]; [2405; 4674]; [101; 7825]; [7728; 10405]; [3585; 9674]; [7858; 9697]; [5790; 10681]; [7264; 8958]; [4174; 6282]; [2656; 5424]; [1529; 4976]; [5732; 9922]; [3423; 7811]; [1434; 5116]; [5541; 6190]; [2483; 6435]; [5349; 9403]; [36; 2862]; [1928; 5624]; [6778; 10943]; [1306; 2837]; [5530; 9414]; [3126; 4033]; [3390; 5769]; [2046; 6784]; [7047; 9266]; [3186; 7467]; [3468; 10563]; [7893; 10226]; [2162; 7898]; [256; 542]; [1107; 1846]; [8851; 9929]; [4840; 10815]; [4957; 5738]; [7013; 7403]; [1507; 9135]; [4433; 10656]; [1694; 2545]; [3834; 5409]; [4708; 6165]; [252; 9818]; [718; 11311]; [5109; 9892]; [6384; 6828]; [1310; 2555]; [3636; 8053]; [4417; 8618]; [2025; 11168]; [597; 6820]; [5700; 10333]; [1399; 1846]; [3291; 3854]; [372; 1225]; [4190; 6360]; [810; 11250]; [867; 5368]; [856; 6707]; [4089; 8937]; [680; 8925]; [978; 6138]; [3254; 5857]; [989; 10434]; [3279; 6853]; [452; 3813]; [44; 2298]; [1064; 4377]; [1260; 2037]; [2148; 2499]; [814; 4202]; [1939; 8741]; [2658; 7674]; [5144; 11175]; [6107; 10468]; [3851; 5739]; [5227; 9897]; [9055; 9304]; [2398; 3024]; [813; 7360]; [2714; 7956]; [10207; 11502]; [1026; 1991]; [659; 6893]; [458; 2473]; [1170; 5153]; [4330; 8568]; [3260; 7900]; [5092; 10611]; [8335; 9365]; [1823; 6472]; [4945; 7151]; [5726; 6962]; [10547; 11543]; [3187; 6863]; [7487; 10961]; [3065; 10815]; [5181; 6115]; [3469; 9178]; [3407; 7546]; [4532; 5669]; [5055; 7696]; [1440; 9336]; [1401; 6375]; [3374; 8537]; [10251; 10619]; [4523; 7808]; [2085; 7007]; [4010; 5745]; [5828; 11002]; [9372; 10650]; [1213; 10461]; [8687; 10547]; [3200; 10077]; [1806; 10975]; [3544; 9887]; [2652; 6273]; [3294; 3296]; [4785; 11376]; [4131; 4170]; [7363; 11433]; [1262; 7320]; [1981; 6253]; [1972; 9173]; [555; 8367]; [3562; 4400]; [3304; 3610]; [7851; 11372]; [2438; 6879]; [8940; 9084]; [542; 965]; [349; 6986]; [2056; 4333]; [1916; 8460]; [3213; 6875]; [2774; 10211]; [6177; 6968]; [8095; 8699]; [5329; 8564]; [7; 10605]; [1143; 4753]; [6010; 8925]; [3759; 6792]; [1281; 8070]; [9299; 10306]; [2266; 5432]; [4403; 8025]; [4444; 8026]; [3623; 4652]; [4195; 10705]; [5707; 6830]; [8107; 9059]; [8451; 8869]; [5798; 10331]; [1655; 9600]; [7630; 8124]; [3648; 5998]; [8250; 11215]; [3176; 6942]; [3308; 9313]; [1813; 2989]; [660; 7736]; [3516; 9262]; [1560; 3297]; [4762; 8843]; [4662; 5229]; [5252; 8478]; [8801; 9224]; [3254; 8703]; [1084; 3718]; [798; 3132]; [1080; 6228]; [247; 5473]; [674; 5540]; [2234; 11505]; [3628; 4191]; [6176; 7816]; [5718; 11102]; [2351; 6428]; [5868; 7663]; [6917; 8982]; [1158; 11022]; [3250; 8180]; [8518; 9286]; [4218; 10823]; [2632; 2883]; [4562; 8381]; [3999; 9207]; [4302; 6764]; [8634; 10400]; [4178; 5008]; [2684; 8708]; [8621; 9414]; [7129; 9777]; [4732; 5567]; [1805; 8739]; [8904; 8948]; [1588; 3786]; [3792; 4191]; [2145; 5397]; [4018; 9607]; [4476; 4823]; [2039; 7630]; [3193; 6491]; [7248; 11539]; [2420; 10705]; [2607; 4115]; [7646; 11585]; [1268; 4720]; [6361; 7545]; [4031; 10973]; [11190; 11233]; [3905; 8390]; [2749; 6450]; [884; 1347]; [7922; 10702]; [1979; 9427]; [2354; 9304]; [1289; 8980]; [3033; 9592]; [6615; 7812]; [2775; 4638]; [3005; 7544]; [9624; 10334]; [5298; 10650]; [4859; 6816]; [6199; 9065]; [504; 2230]; [1930; 3499]; [7683; 10312]; [7719; 9969]; [7758; 9143]; [998; 1984]; [801; 11269]; [3392; 10060]; [2363; 5983]; [4132; 4208]; [2012; 4248]; [8796; 10303]; [5788; 10635]; [5478; 9655]; [4157; 5204]; [891; 11162]; [7923; 10149]; [2954; 9834]; [294; 6742]; [5928; 9891]; [269; 2713]; [50; 9765]; [2049; 10896]; [143; 3540]; [3599; 9757]; [4447; 11544]; [3470; 7657]; [571; 8713]; [4094; 7484]; [5142; 5949]; [3653; 9993]; [2256; 4958]; [4033; 10214]; [1478; 4664]; [5208; 9952]; [4517; 9280]; [4454; 8177]; [7317; 7464]; [2740; 10413]; [3862; 4855]; [994; 1060]; [3917; 4562]; [7349; 10385]; [6654; 8840]; [10172; 10273]; [3515; 10409]; [3391; 8653]; [3360; 7088]; [4657; 5503]; [1950; 8981]; [4937; 7772]; [1890; 2514]; [3538; 9080]; [1356; 1826]; [4566; 9522]; [896; 4285]; [4870; 9933]; [1350; 2011]; [618; 8478]; [1759; 7134]; [2874; 6067]; [19; 979]; [3470; 6852]; [3315; 9947]; [2899; 7817]; [3719; 7556]; [3194; 4702]; [3746; 5969]; [3056; 4768]; [6980; 11053]; [1619; 3340]; [6355; 11001]; [3371; 7223]; [3493; 8906]; [2868; 8854]; [4430; 9230]; [8157; 8585]; [6655; 8260]; [4507; 11170]; [1306; 11107]; [5638; 8327]; [10736; 11496]; [1335; 3931]; [6066; 11248]; [9359; 9365]; [9400; 10120]; [6712; 9144]; [4095; 9132]; [4532; 9133]; [4944; 7357]; [9256; 9617]; [4490; 9661]; [3947; 5447]; [893; 9598]; [4907; 8229]; [2321; 7530]; [4556; 7248]; [1720; 5620]; [2726; 8747]; [3430; 6648]; [1534; 7150]; [845; 3141]; [5146; 5212]; [4423; 10287]; [9464; 10670]; [904; 3721]; [4732; 5380]; [1614; 11236]; [8838; 10393]; [5968; 6525]; [1458; 4280]; [4948; 7075]; [984; 7807]; [3047; 9862]; [6685; 9145]; [3820; 9785]; [1418; 5231]; [600; 4784]; [3252; 7234]; [6793; 9617]; [3300; 9934]; [4425; 10309]; [3494; 6767]; [932; 10626]; [5820; 5849]; [8039; 11450]; [4292; 4303]; [9128; 9916]; [4517; 6865]; [1679; 11580]; [2589; 7829]; [2861; 6073]; [6524; 7133]; [9978; 11025]; [3235; 5725]; [5506; 11516]; [6213; 8934]; [6180; 6542]; [2135; 6346]; [2201; 10349]; [1821; 4466]; [2139; 7219]; [3192; 6028]; [3069; 7126]; [139; 6617]; [259; 303]; [166; 4276]; [171; 4620]; [6239; 10505]; [6886; 7872]; [2598; 10924]; [5707; 10644]; [3025; 3821]; [1825; 7968]; [1106; 2619]; [1464; 6299]; [1842; 5693]; [5264; 10074]; [2098; 7568]; [3421; 7204]; [7873; 9444]; [6283; 7020]; [8368; 9423]; [2924; 3365]; [2748; 7835]; [522; 1063]; [2743; 7491]; [2431; 5684]; [5073; 7446]; [4792; 11368]; [2669; 8481]; [3388; 5162]; [4467; 5192]; [449; 9825]; [5184; 8216]; [6240; 10706]; [705; 1120]; [2759; 8374]; [6670; 9536]; [4155; 6768]; [6015; 11527]; [2622; 4878]; [3680; 8195]; [2379; 5120]; [1131; 5843]; [8846; 9024]; [5272; 10665]; [5143; 7811]; [9809; 10569]; [1629; 10257]; [686; 2948]; [2611; 7348]; [4102; 9766]; [4179; 5260]; [3515; 6034]; [5144; 8386]; [3358; 8302]; [6035; 8365]; [3115; 8544]; [2241; 5536]; [5104; 8987]; [3791; 11567]; [3354; 4396]; [3543; 5049]; [960; 10283]; [717; 11279]; [2802; 7266]; [3423; 9828]; [7087; 10332]; [4594; 6414]; [175; 9949]; [2226; 7106]; [10008; 10755]; [672; 10755]; [3253; 3940]; [1427; 9345]; [5966; 10830]; [1818; 9755]; [1484; 4217]; [3810; 9715]; [8672; 9379]; [6275; 11585]; [503; 2086]; [2968; 11126]; [6054; 9896]; [344; 1275]; [692; 8374]; [8689; 9733]; [6607; 6847]; [974; 5054]; [1158; 1199]; [8506; 10780]; [5925; 11179]; [3151; 10429]; [7972; 10846]; [2175; 2980]; [7529; 10276]; [2579; 7759]; [8346; 10498]; [1149; 2584]; [7711; 9758]; [1517; 4700]; [1450; 3478]; [9525; 10355]; [5869; 9742]; [1674; 8821]; [3322; 8971]; [5963; 9377]; [5378; 6472]; [7890; 8188]; [2919; 7046]; [6613; 10425]; [5620; 6005]; [931; 7959]; [6707; 10060]; [6001; 9080]; [4411; 10066]; [791; 11362]; [228; 5772]; [5833; 10435]; [1915; 11512]; [5186; 6652]; [100; 6526]; [2218; 4905]; [1106; 9653]; [2247; 4145]; [8692; 9980]; [4899; 5841]; [1847; 4403]; [389; 10012]; [5110; 10225]; [2005; 10624]; [3397; 6647]; [2423; 6441]; [2294; 3587]; [934; 4069]; [1677; 8314]; [1611; 3530]; [616; 8863]; [733; 9448]; [3565; 7170]; [3728; 8854]; [2327; 6329]; [3199; 9264]; [1606; 6569]; [2141; 3695]; [5869; 5904]; [4284; 10240]; [1877; 11004]; [198; 3627]; [5874; 6248]; [385; 9869]; [1012; 9213]; [3739; 9393]; [7689; 9729]; [4482; 6468]; [4203; 7053]; [6546; 8748]; [216; 419]; [5885; 6787]; [4792; 10831]; [4212; 8270]; [8907; 10268]; [5535; 8660]; [4012; 7458]; [7193; 9498]; [5758; 10395]; [7532; 8964]; [4734; 10826]; [3392; 5498]; [8995; 9334]; [8315; 9575]; [650; 9921]; [2887; 4050]; [2484; 9295]; [1049; 7940]; [1361; 8966]; [3454; 8978]; [8581; 10633]; [489; 5250]; [1754; 2252]; [883; 9341]; [4365; 8111]; [8415; 8651]; [6479; 9000]; [3099; 7474]; [5305; 6454]; [3529; 7058]; [2128; 10949]; [1163; 2161]; [2785; 9758]; [6104; 6844]; [5197; 7860]; [8838; 10824]; [4850; 7752]; [7817; 10772]; [2958; 8373]; [57; 8602]; [6655; 11269]; [3826; 10812]; [309; 2407]; [7652; 10146]; [955; 6719]; [4896; 9975]; [4741; 6654]; [117; 9003]; [6457; 10880]; [1065; 3854]; [8284; 8329]; [7893; 8673]; [3067; 8666]; [347; 605]; [4773; 8040]; [4427; 7403]; [2904; 10365]; [1059; 6668]; [1434; 5791]; [3915; 8948]; [1282; 8403]; [5570; 6105]; [3708; 4683]; [6256; 9062]; [9093; 11292]; [2266; 2911]; [3239; 9308]; [5016; 8148]; [9520; 9824]; [10077; 11435]; [4920; 11069]; [7747; 8447]; [244; 1207]; [1866; 8804]; [5493; 10207]; [4846; 6424]; [11289; 11432]; [7144; 9874]; [4192; 4853]; [8581; 9023]; [3653; 3821]; [6633; 7857]; [1621; 4462]; [1223; 10051]; [944; 11390]; [841; 1089]; [9725; 10579]; [2712; 9390]; [5107; 6357]; [2678; 7527]; [7500; 10044]; [1275; 10591]; [3615; 7851]; [406; 7927]; [2212; 5253]; [6071; 6225]; [6590; 10762]; [7273; 8540]; [4286; 7497]; [110; 10036]; [3694; 9837]; [1051; 8604]; [6488; 10485]; [1273; 6731]; [1979; 11094]; [2098; 6844]; [360; 7932]; [174; 4544]; [2132; 5674]; [2966; 9283]; [4251; 7661]; [6646; 8792]; [4617; 8950]; [4056; 4187]; [917; 5756]; [884; 9780]; [664; 1146]; [499; 3553]; [11066; 11494]; [973; 9071]; [5820; 7703]; [3245; 11300]; [131; 8230]; [6691; 8161]; [3174; 6172]; [4294; 10367]; [1407; 2358]; [11119; 11505]; [1548; 1839]; [3676; 5070]; [8065; 9240]; [1931; 4987]; [1365; 2132]; [8205; 10748]; [3516; 6286]; [4282; 5819]; [887; 8923]; [9259; 10159]; [983; 9385]; [1545; 10586]; [925; 8626]; [2909; 4561]; [918; 1793]; [264; 6665]; [7829; 8367]; [7201; 8798]; [354; 8810]; [5920; 7129]; [5326; 7144]; [2158; 9473]; [4121; 10947]; [7385; 8326]; [1179; 2507]; [660; 10021]; [3585; 7934]; [1677; 6167]; [32; 3282]; [1907; 9073]; [3830; 6984]; [282; 1178]; [6310; 9916]; [3044; 9458]; [1645; 10012]; [7285; 11478]; [2366; 4110]; [1361; 11007]; [1087; 9684]; [4839; 5871]; [7645; 8788]; [52; 11454]; [3107; 4495]; [1906; 5064]; [6685; 9389]; [8972; 9297]; [7573; 9851]; [2967; 7898]; [394; 11568]; [382; 10053]; [5208; 10814]; [3842; 7344]; [4590; 5517]; [3986; 10506]; [3678; 6189]; [2090; 3838]; [1465; 3786]; [2184; 3473]; [5394; 10415]; [2037; 10593]; [10373; 11418]; [194; 7723]; [1894; 10315]; [2033; 6687]; [3360; 4567]; [2931; 7837]; [244; 670]; [6513; 10975]; [4677; 11528]; [1957; 7631]; [1893; 10090]; [2206; 8335]; [957; 6204]; [898; 4843]; [3511; 7365]; [8841; 10103]; [3323; 8068]; [5225; 9266]; [7933; 10894]; [824; 3581]; [9762; 9924]; [3912; 5430]; [7556; 8692]; [8834; 10063]; [892; 1995]; [7519; 9564]; [8011; 9272]; [81; 2719]; [9695; 11331]; [8604; 10540]; [1380; 8350]; [3281; 8192]; [4642; 4902]; [2059; 10136]; [4142; 10214]; [7201; 10571]; [2368; 5229]; [3703; 6380]; [222; 8966]; [3054; 5934]; [3856; 7376]; [2583; 4070]; [1459; 6549]; [2983; 10605]; [8344; 8492]; [6087; 6571]; [2107; 7524]; [1983; 5014]; [8485; 10602]; [139; 2673]; [3874; 8305]; [3977; 9184]; [3042; 8152]; [3009; 5760]; [292; 2134]; [610; 7893]; [693; 3232]; [157; 5881]; [6794; 7722]; [4860; 5488]; [8566; 10382]; [5013; 5730]; [5018; 6828]; [2611; 7592]; [7061; 9005]; [1526; 3583]; [3489; 5057]; [1775; 6539]; [4693; 9697]; [1672; 3408]; [3211; 9250]; [123; 985]; [7971; 8637]; [179; 4300]; [50; 1446]; [5810; 7178]; [775; 8495]; [7371; 10335]; [6169; 11433]; [6497; 10710]; [384; 7334]; [1631; 7140]; [4559; 10986]; [7011; 8487]; [1541; 4214]; [5302; 8061]; [2749; 4092]; [5419; 9400]; [4113; 5981]; [6767; 9258]; [6294; 6594]; [3532; 10365]; [3491; 3948]; [7720; 10115]; [4151; 6438]; [5918; 10252]; [443; 11297]; [2766; 10862]; [6107; 10151]; [214; 8993]; [5627; 7070]; [1408; 5001]; [1672; 9019]; [3351; 10734]; [1489; 10066]; [10895; 11559]; [7550; 8364]; [3785; 10437]; [5712; 5838]; [9134; 10219]; [4199; 9488]; [9579; 10835]; [3472; 9159]; [3157; 10087]; [6113; 9565]; [5744; 11388]; [9013; 9111]; [2507; 3000]; [1194; 5580]; [196; 816]; [6264; 6701]; [503; 11324]; [1434; 8450]; [8476; 8879]; [2220; 2943]; [3584; 9750]; [1657; 4523]; [1027; 10543]; [2118; 2666]; [879; 1223]; [8771; 11456]; [5729; 6542]; [5873; 9704]; [2368; 2814]; [4876; 7794]; [1830; 9554]; [4884; 5403]; [7301; 10265]; [1487; 8434]; [5064; 10474]; [3514; 5197]; [7429; 9484]; [891; 4616]; [8420; 10825]; [6563; 10501]; [4252; 5311]; [8641; 9481]; [7056; 7401]; [826; 3440]; [638; 9805]; [10906; 11293]; [21; 8116]; [7361; 11420]; [11306; 11412]; [7608; 11297]; [1373; 6992]; [6816; 10573]; [2987; 10941]; [161; 10755]; [1302; 5247]; [221; 4390]; [7406; 10789]; [465; 4750]; [268; 7619]; [9113; 10765]; [4815; 8965]; [5960; 7740]; [4621; 9099]; [1983; 8210]; [6742; 11159]; [6492; 10984]; [1318; 2343]; [7510; 10738]; [3313; 6738]; [3994; 9351]; [1188; 7188]; [1941; 11367]; [2461; 7461]; [2118; 10505]; [6223; 8500]; [2687; 6461]; [5168; 9618]; [7845; 9681]; [5897; 9993]; [3609; 6507]; [10430; 10909]; [7622; 11329]; [1457; 7763]; [2582; 5886]; [5135; 10609]; [1522; 6660]; [3757; 5624]; [5575; 10881]; [4763; 8751]; [5685; 8043]; [3634; 4470]; [10392; 10802]; [2390; 2683]; [1353; 3626]; [480; 4226]; [2785; 8847]; [168; 6583]; [3039; 9895]; [8015; 11381]; [4465; 4748]; [7075; 10005]; [2663; 4131]; [1510; 8124]; [6327; 11051]; [6978; 9291]; [4211; 10466]; [3488; 7627]; [3265; 10773]; [1271; 2072]; [10890; 11028]; [6499; 10195]; [7534; 7644]; [390; 7692]; [1274; 4972]; [7960; 9738]; [1079; 8668]; [5315; 5426]; [917; 9838]; [9852; 10248]; [6372; 10770]; [3404; 9777]; [2325; 10501]; [228; 5829]; [915; 5978]; [73; 5891]; [5768; 6310]; [2129; 3392]; [10181; 10874]; [907; 3084]; [7350; 10344]; [2682; 4507]; [655; 7744]; [880; 10306]; [648; 11491]; [2047; 3767]; [3676; 6119]; [1985; 2889]; [4908; 6391]; [219; 8345]; [5922; 9379]; [2299; 4742]; [2121; 5379]; [5228; 11442]; [5730; 6176]; [2772; 10035]; [272; 11362]; [1829; 4978]; [3128; 7226]; [5189; 9235]; [7090; 9077]; [1362; 6266]; [10763; 11579]; [1510; 6164]; [5902; 8353]; [2046; 6898]; [5361; 6494]; [454; 1395]; [2152; 7324]; [1938; 8304]; [6673; 6695]; [4988; 11581]; [5420; 7074]; [5304; 9343]; [3367; 7592]; [1324; 10296]; [9132; 9504]; [4113; 10600]; [1348; 8438]; [970; 2628]; [4421; 9255]; [3860; 10908]; [7824; 9422]; [4739; 7844]; [1311; 8556]; [4365; 9323]; [3181; 7587]; [2982; 9629]; [5910; 11223]; [3630; 8352]; [1341; 7617]; [4512; 8969]; [9455; 10315]; [680; 5656]; [1554; 2248]; [4999; 8306]; [6766; 9868]; [3594; 8291]; [3812; 9682]; [8258; 8724]; [6508; 8297]; [2707; 10713]; [6449; 11100]; [1396; 10333]; [3139; 3173]; [8; 8767]; [1529; 9896]; [4444; 6367]; [4080; 5124]; [9272; 11338]; [5903; 9247]; [8148; 9653]; [3480; 3816]; [1446; 10046]; [8550; 11353]; [393; 1411]; [4226; 7578]; [1702; 2095]; [5021; 5597]; [4131; 8472]; [4038; 8281]; [3971; 7059]; [2952; 7080]; [3807; 11566]; [6957; 7877]; [1067; 10400]; [700; 8886]; [6507; 10300]; [4171; 9749]; [8688; 10132]; [7845; 8689]; [1780; 6485]; [3542; 9955]; [7618; 9464]; [3015; 7028]; [3643; 4345]; [4818; 10499]; [4570; 10397]; [243; 1443]; [10075; 11446]; [1465; 4380]; [9431; 11344]; [185; 684]; [2705; 3015]; [2975; 4596]; [3040; 4991]; [540; 4066]; [4089; 10474]; [887; 1141]; [6958; 11461]; [1908; 7582]; [6708; 10532]; [5407; 8211]; [7507; 10922]; [1031; 3522]; [946; 11520]; [1851; 7425]; [822; 9764]; [1749; 9400]; [4426; 10217]; [4680; 11265]; [3204; 9909]; [9212; 10825]; [10404; 10924]; [7159; 11343]; [2656; 5351]; [10617; 11217]; [4982; 10849]; [2585; 6639]; [190; 3256]; [219; 8158]; [317; 5283]; [1394; 8650]; [6760; 10291]; [1963; 11022]; [4234; 10397]; [6971; 8259]; [2666; 9452]; [964; 6033]; [6833; 8325]; [7968; 9388]; [6487; 7688]; [8238; 10969]; [3477; 11357]; [4256; 11095]; [2661; 5321]; [2011; 7656]; [9750; 10477]; [1419; 3580]; [1655; 6331]; [4020; 11003]; [3552; 9437]; [1069; 5453]; [1747; 9303]; [7882; 9994]; [2748; 4135]; [1621; 7097]; [1363; 2143]; [4322; 8308]; [158; 284]; [1119; 11582]; [3576; 7929]; [7584; 8243]; [4633; 6857]; [7155; 10015]; [3819; 3900]; [209; 5884]; [3760; 6703]; [2345; 9006]; [4566; 9018]; [5775; 7586]; [3960; 6764]; [4159; 10357]; [2223; 5044]; [607; 7061]; [3098; 4490]; [3528; 9736]; [1622; 3134]; [906; 2964]; [9216; 9738]; [6948; 7628]; [5821; 7180]; [8221; 8655]; [260; 6953]; [1430; 6347]; [1378; 6157]; [1309; 8272]; [4519; 11050]; [1467; 2442]; [5269; 10050]; [6607; 10718]; [1151; 10315]; [5070; 5676]; [3885; 7879]; [6130; 8285]; [6443; 6530]; [4904; 10487]; [7084; 10498]; [7700; 8552]; [1974; 5814]; [6428; 8881]; [485; 4196]; [1443; 6528]; [2064; 2674]; [5603; 11400]; [100; 10397]; [418; 8986]; [1970; 9428]; [292; 10567]; [3795; 3798]; [2781; 11333]; [1830; 6415]; [7647; 8517]; [3877; 9465]; [3859; 8105]; [5215; 10887]; [3160; 3408]; [739; 1056]; [5744; 7444]; [8691; 9088]; [2185; 9393]; [2417; 2546]; [3623; 8767]; [37; 2477]; [1845; 6292]; [1747; 3505]; [6755; 9410]; [915; 5604]; [601; 7888]; [4338; 7177]; [948; 11379]; [2459; 4650]; [461; 11291]; [2059; 7160]; [1997; 10446]; [3805; 10097]; [2078; 4958]; [568; 8879]; [4066; 8182]; [9203; 9771]; [3478; 4225]; [3999; 9589]; [2223; 8695]; [4105; 4323]; [7150; 9508]; [10727; 11548]; [5118; 10149]; [9980; 10567]; [422; 4516]; [6358; 8030]; [3815; 4749]; [1289; 4101]; [4776; 9631]; [2880; 3717]; [2682; 9394]; [1290; 1293]; [1377; 9583]; [5919; 8333]; [1812; 3095]; [1934; 4024]; [1151; 7550]; [660; 4280]; [2556; 3778]; [7721; 8169]; [2143; 6083]; [597; 3177]; [1987; 11205]; [8745; 11121]; [7589; 9181]; [3541; 10939]; [4969; 8871]; [153; 3136]; [5249; 11140]; [8991; 11527]; [3069; 5467]; [2019; 10339]; [2200; 2803]; [140; 1396]; [5986; 8400]; [5961; 10787]; [2408; 6889]; [3600; 8486]; [3622; 9965]; [411; 9214]; [4431; 5381]; [5014; 5207]; [10683; 10821]; [5366; 9796]; [3711; 6223]; [7878; 11512]; [373; 9861]; [6066; 10207]; [5331; 10741]; [350; 8911]; [3022; 8630]; [1026; 11180]; [4197; 8368]; [2141; 4451]; [2705; 6479]; [8742; 10799]; [3206; 8158]; [5477; 6779]; [2335; 4667]; [3541; 3718]; [5153; 10627]; [2238; 4734]; [294; 7474]; [182; 817]; [1639; 3651]; [2762; 7363]; [8209; 10686]; [4646; 6100]; [3097; 10093]; [4315; 10659]; [3164; 4899]; [573; 3856]; [3219; 4606]; [915; 9255]; [1132; 1376]; [4831; 5099]; [2157; 8717]; [846; 4954]; [822; 10195]; [3246; 9812]; [60; 1012]; [2038; 3518]; [6663; 10439]; [789; 1387]; [1214; 7043]; [1682; 2193]; [3485; 5664]; [2380; 7419]; [6707; 10711]; [10277; 11580]; [7882; 8197]; [8472; 11446]; [5234; 6620]; [4330; 7153]; [10154; 10426]; [2590; 11578]; [1874; 5746]; [8209; 9531]; [3164; 10160]; [8836; 9629]; [11103; 11514]; [1886; 5756]; [1452; 3020]; [6704; 9285]; [4467; 9494]; [202; 10463]; [5990; 7663]; [759; 11320]; [5833; 9931]; [2631; 7014]; [7882; 10425]; [2443; 6963]; [5886; 6559]; [2837; 11054]; [2506; 11449]; [634; 10093]; [7255; 7294]; [5326; 5404]; [5978; 6498]; [7070; 10897]; [6196; 7889]; [2177; 2498]; [3536; 4797]; [5165; 7149]; [1832; 11131]; [7861; 11426]; [7129; 11477]; [8213; 9599]; [3082; 10454]; [9121; 11437]; [5028; 10069]; [2481; 8544]; [6984; 8120]; [3379; 4032]; [8826; 10765]; [550; 9991]; [10003; 11330]; [9261; 10693]; [5868; 8208]; [4653; 4907]; [9169; 11104]; [2189; 5891]; [2808; 8380]; [9284; 9364]; [4552; 10490]; [2349; 7277]; [4491; 10214]; [3218; 3525]; [6263; 7956]; [5080; 7576]; [1985; 4556]; [5479; 7093]; [6981; 7418]; [658; 1014]; [5819; 11298]; [766; 7148]; [1203; 3739]; [10010; 10565]; [7178; 7181]; [3999; 8597]; [6984; 7315]; [5458; 11477]; [329; 1081]; [1452; 11209]; [1416; 5136]; [9533; 11515]; [7045; 7187]; [1437; 2980]; [2717; 4424]; [6486; 8886]; [103; 1677]; [3516; 4814]; [35; 984]; [4104; 5738]; [1609; 10819]; [1464; 8186]; [812; 4059]; [31; 3494]; [8396; 9975]; [7496; 7998]; [3200; 4019]; [1897; 5035]; [3798; 4877]; [2508; 2745]; [3328; 8900]; [2423; 10743]; [6406; 10061]; [140; 3437]; [57; 8098]; [5129; 9292]; [3410; 11184]; [3066; 4204]; [1885; 6903]; [2131; 10342]; [10795; 11198]; [1583; 5784]; [3541; 6914]; [2297; 5127]; [4064; 6689]; [2296; 11318]; [4242; 10933]; [2098; 11333]; [4651; 9640]; [1868; 5394]; [847; 5342]; [7262; 8302]; [3735; 9789]; [3761; 4594]; [3358; 9839]; [5096; 6499]; [7495; 10001]; [3414; 3732]; [251; 7159]; [2400; 4851]; [334; 2498]; [2773; 10317]; [6283; 11135]; [4168; 5857]; [978; 10147]; [2297; 7355]; [4308; 5113]; [1661; 6390]; [1294; 11292]; [6373; 10247]; [4876; 8014]; [3527; 7931]; [3724; 8445]; [3287; 8444]; [670; 6180]; [6671; 10089]; [1227; 7037]; [9506; 11492]; [2617; 8649]; [4141; 6289]; [5660; 10755]; [1532; 4640]; [6576; 10202]; [2342; 3691]; [5351; 6213]; [3792; 5354]; [6912; 9370]; [1242; 7695]; [6470; 10156]; [1420; 5523]; [4343; 9779]; [4102; 10848]; [2827; 3332]; [1273; 6227]; [919; 4948]; [6046; 6603]; [7890; 10075]; [5328; 9770]; [1966; 3188]; [565; 7833]; [1028; 2639]; [475; 11323]; [3894; 5607]; [10683; 11252]; [3212; 11437]; [3522; 3749]; [7410; 9623]; [1782; 4010]; [466; 657]; [7069; 10084]; [7160; 9448]; [3853; 8989]; [7061; 8688]; [5965; 6799]; [958; 3748]; [712; 1063]; [1018; 4553]; [4756; 7450]; [564; 10210]; [6407; 11281]; [5684; 10694]; [3905; 5365]; [9381; 11338]; [3694; 8528]; [1078; 4954]; [5928; 8021]; [3208; 4124]; [5582; 7384]; [721; 9820]; [7039; 10218]; [2462; 5997]; [10689; 11016]; [379; 10056]; [6726; 8940]; [224; 6735]; [6135; 7718]; [944; 2860]; [5049; 7271]; [8024; 10963]; [9302; 11580]; [6719; 11152]; [2951; 9544]; [6657; 10274]; [1332; 1464]; [4793; 6527]; [4915; 7456]; [3793; 4346]; [7251; 11390]; [8299; 9855]; [112; 7618]; [8121; 11246]; [831; 7305]; [1480; 5499]; [1051; 3107]; [6460; 9356]; [3998; 11167]; [326; 5857]; [3039; 5577]; [3006; 9601]; [1167; 4221]; [2655; 8620]; [8886; 9773]; [6914; 10465]; [6234; 10706]; [1820; 8169]; [2679; 3729]; [6080; 10239]; [4246; 5203]; [817; 3061]; [5643; 7232]; [2650; 8626]; [7316; 11384]; [2490; 4207]; [10029; 11104]; [7345; 9870]; [6506; 9300]; [6590; 7493]; [1115; 9292]; [2861; 5813]; [2768; 9786]; [4158; 10644]; [10424; 10852]; [10517; 11043]; [2573; 8564]; [2509; 4607]; [2607; 5896]; [3362; 6738]; [2001; 10058]; [3196; 8920]; [10386; 11499]; [949; 8441]; [4164; 11563]; [2592; 3329]; [3619; 7333]; [1501; 8954]; [1318; 9247]; [9356; 11361]; [4621; 6554]; [6360; 8320]; [5018; 10162]; [6040; 6652]; [2619; 11541]; [64; 3739]; [528; 8569]; [414; 7501]; [3514; 10141]; [4957; 9105]; [5387; 7935]; [6316; 9152]; [4414; 11337]; [4075; 4701]; [8299; 11278]; [6748; 8028]; [420; 526]; [2285; 5629]; [4218; 4228]; [5095; 10917]; [1826; 10942]; [6859; 8798]; [704; 10084]; [5439; 8475]; [1762; 9237]; [5558; 6477]; [2345; 2647]; [479; 10905]; [2719; 4551]; [2753; 7545]; [10156; 11171]; [502; 9576]; [1120; 2041]; [7102; 8152]; [7702; 10591]; [68; 6840]; [4894; 10230]; [1522; 9376]; [1274; 11526]; [8337; 9826]; [9462; 10201]; [3987; 4830]; [5945; 5960]; [1991; 8134]; [2744; 5897]; [3014; 7478]; [743; 2441]; [3850; 7750]; [3571; 9089]; [7924; 10596]; [3289; 3741]; [7003; 8496]; [4071; 7160]; [420; 6137]; [3663; 4891]; [241; 4674]; [7023; 9148]; [803; 10039]; [2916; 8074]; [1639; 10311]; [6088; 8116]; [3748; 4440]; [3319; 8464]; [2543; 2581]; [1235; 8915]; [7675; 10242]; [1450; 10789]; [5988; 7885]; [1005; 9392]; [1385; 9613]; [9320; 10094]; [4621; 4944]; [192; 10043]; [2876; 4861]; [249; 4161]; [3647; 4738]; [4273; 7644]; [6100; 11509]; [4455; 9378]; [742; 1061]; [2400; 8315]; [719; 10691]; [1151; 6184]; [3143; 6144]; [4175; 10492]; [1923; 2499]; [10742; 10840]; [3362; 10389]; [5315; 11175]; [5103; 6566]; [2367; 9306]; [4757; 5929]; [968; 10614]; [5189; 6340]; [7649; 7866]; [4975; 11484]; [4003; 7941]; [5434; 9554]; [1485; 5656]; [6373; 7295]; [2512; 3244]; [1603; 3433]; [4748; 5816]; [990; 4896]; [8888; 10413]; [8384; 8436]; [6918; 7768]; [483; 6785]; [1787; 2207]; [4340; 4678]; [4159; 8804]; [3146; 8670]; [606; 4906]; [1941; 6057]; [157; 6800]; [5511; 7680]; [3712; 10744]; [3805; 6771]; [5037; 5545]; [1432; 7873]; [1220; 3264]; [2529; 10364]; [5172; 5181]; [4857; 6109]; [414; 5086]; [930; 10106]; [7964; 8385]; [922; 2294]; [3700; 9579]; [519; 5287]; [4557; 8476]; [4844; 7752]; [701; 7021]; [4818; 6531]; [5007; 9436]; [1292; 10872]; [2016; 10903]; [175; 4696]; [1295; 4727]; [1097; 3988]; [629; 2422]; [1260; 9055]; [73; 1386]; [3892; 5211]; [2149; 5955]; [1691; 11493]; [1228; 3101]; [2811; 5108]; [2814; 8789]; [3769; 10473]; [1503; 5780]; [3916; 6736]; [461; 10543]; [5796; 6455]; [7038; 11579]; [1271; 3178]; [6747; 11403]; [2203; 9574]; [5821; 8205]; [4749; 10874]; [4348; 10530]; [2606; 3548]; [83; 7335]; [2323; 5145]; [1483; 3219]; [1319; 8480]; [4498; 9693]; [4400; 6906]; [4119; 10828]; [7575; 10629]; [6456; 7790]; [1566; 5324]; [5234; 7482]; [7042; 11297]; [1504; 7829]; [7836; 11343]; [2053; 8825]; [5573; 10331]; [243; 8347]; [934; 5232]; [1371; 5987]; [2829; 5259]; [6595; 10204]; [1550; 10833]; [146; 7633]; [10457; 11447]; [705; 9317]; [1163; 3779]; [1180; 5638]; [2413; 3102]; [4406; 5916]; [8938; 10394]; [4182; 11126]; [3779; 9201]; [5057; 10572]; [190; 3394]; [1905; 11182]; [6702; 7041]; [2971; 7944]; [2501; 5551]; [4235; 6973]; [3581; 6183]; [3591; 6871]; [2710; 9108]; [3959; 4823]; [3016; 10346]; [3895; 7282]; [2802; 5664]; [4832; 8360]; [785; 7337]; [6778; 7975]; [8521; 11395]; [7899; 8608]; [2171; 5797]; [2365; 6040]; [3948; 8047]; [204; 6833]; [714; 5592]; [9353; 11144]; [5557; 7488]; [6279; 10856]; [6078; 6436]; [5162; 10342]; [4310; 5403]; [3219; 10274]; [4704; 8740]; [3496; 6610]; [1257; 5992]; [9598; 11325]; [2621; 6383]; [8288; 11170]; [217; 1002]; [5428; 5738]; [10655; 11007]; [5863; 11328]; [8067; 9481]; [7170; 11185]; [5539; 6508]; [3514; 4156]; [2990; 10572]; [750; 4848]; [713; 11382]; [4789; 10891]; [4440; 10737]; [9529; 9626]; [5463; 10081]; [7925; 9024]; [1882; 4889]; [5192; 9029]; [3535; 4629]; [4218; 4659]; [1293; 4494]; [7234; 8352]; [1358; 9053]; [6588; 7423]; [459; 10684]; [984; 6368]; [1856; 7051]; [1935; 4900]; [5928; 9070]; [6583; 10462]; [2727; 9007]; [8073; 9272]; [5053; 8089]; [4148; 9932]; [1536; 3848]; [1102; 7528]; [37; 7958]; [4995; 8084]; [389; 5377]; [3770; 10511]; [4613; 5538]; [5136; 6811]; [4699; 10974]; [215; 9950]; [2271; 7451]; [9996; 10566]; [4834; 10610]; [6410; 10692]; [7124; 10035]; [9457; 10288]; [5922; 11103]; [685; 5146]; [57; 5577]; [226; 10459]; [58; 2015]; [4077; 5154]; [1556; 5604]; [2509; 6461]; [8828; 9713]; [9260; 10124]; [6216; 7793]; [5431; 10492]; [1479; 6323]; [1420; 4962]; [2750; 6523]; [4558; 10338]; [5711; 6345]; [5158; 8613]; [8725; 9965]; [43; 7749]; [1753; 4613]; [10500; 11388]; [1916; 6297]; [7704; 9913]; [1880; 4388]; [9316; 9652]; [1224; 5023]; [8445; 10325]; [4278; 5036]; [984; 8946]; [728; 4819]; [6793; 7023]; [4618; 8110]; [878; 2134]; [136; 743]; [3520; 5394]; [8573; 9544]; [233; 10475]; [686; 5347]; [2714; 7216]; [8400; 9801]; [1994; 8058]; [5166; 8100]; [715; 7216]; [159; 5049]; [9649; 9653]; [4162; 9183]; [1550; 7263]; [8623; 9257]; [10104; 10233]; [240; 7108]; [10895; 11486]; [458; 8499]; [4720; 4980]; [7739; 8190]; [3040; 5292]; [4341; 8367]; [493; 10937]; [3222; 11190]; [211; 5589]; [3602; 4995]; [8118; 10438]; [1074; 7684]; [5024; 11026]; [695; 11071]; [7079; 9056]; [7015; 11515]; [702; 5045]; [3744; 10713]; [6615; 7609]; [4077; 9610]; [2272; 5312]; [2365; 5503]; [5508; 7059]; [4858; 7142]; [496; 7047]; [1303; 2417]; [1640; 5220]; [2204; 7248]; [5652; 7188]; [3004; 5611]; [6646; 8800]; [4689; 11278]; [9202; 10788]; [1287; 10959]; [1237; 5180]; [7080; 8503]; [912; 5420]; [7892; 10633]; [263; 810]; [5221; 11516]; [176; 7981]; [2934; 7474]; [1201; 2490]; [5183; 7999]; [2936; 7520]; [2523; 9071]; [7261; 7733]; [6323; 9436]; [8377; 10274]; [7692; 10171]; [4144; 10781]; [1941; 9066]; [85; 1827]; [874; 6417]; [5299; 6080]; [3448; 5601]; [657; 1464]; [6006; 8416]; [3071; 3399]; [9612; 11194]; [829; 2510]; [2831; 9574]; [3022; 6890]; [2358; 7664]; [1298; 7684]; [3421; 10571]; [4575; 10186]; [1552; 8732]; [3577; 11084]; [1201; 1335]; [8518; 9351]; [244; 2988]; [4468; 4647]; [765; 1936]; [556; 10430]; [7371; 10880]; [802; 7453]; [3104; 5387]; [891; 10154]; [550; 9861]; [4505; 11295]; [3416; 6413]; [6668; 8693]; [3782; 8456]; [5466; 10515]; [2037; 8373]; [3897; 9345]; [3733; 10442]; [2222; 10755]; [99; 5616]; [10792; 11252]; [1523; 6058]; [2043; 2152]; [3259; 8307]; [3352; 4334]; [6125; 11275]; [4633; 9386]; [2047; 8687]; [9364; 10287]; [1833; 10421]; [1391; 2906]; [3290; 6839]; [769; 7289]; [3449; 4617]; [3289; 7368]; [3196; 10587]; [9507; 9814]; [6160; 10680]; [831; 11550]; [1757; 5299]; [7641; 8623]; [8128; 8741]; [1254; 10340]; [2035; 10905]; [690; 1896]; [9005; 9014]; [502; 2599]; [8786; 9650]; [404; 2064]; [2864; 3590]; [3712; 5377]; [5740; 11410]; [2091; 7804]; [4085; 8591]; [7997; 8443]; [722; 10452]; [8093; 8905]; [7344; 11261]; [4789; 5711]; [892; 2003]; [4231; 11045]; [2648; 5628]; [7493; 8351]; [2916; 4130]; [340; 4873]; [1422; 7830]; [3414; 7790]; [3783; 9350]; [5118; 11255]; [2790; 4930]; [4383; 11035]; [1632; 2163]; [6862; 11113]; [9225; 9296]; [4901; 9685]; [4053; 7898]; [782; 7096]; [4897; 5779]; [4106; 5280]; [6861; 10861]; [975; 10874]; [101; 7866]; [1658; 3734]; [3960; 8838]; [8786; 8845]; [3457; 10469]; [3832; 9592]; [7070; 8002]; [3419; 6979]; [57; 6813]; [2052; 10454]; [7248; 9994]; [1842; 3262]; [6841; 11333]; [807; 9196]; [494; 4535]; [1797; 6902]; [1071; 6044]; [6339; 7150]; [2051; 10202]; [931; 3755]; [55; 10500]; [1330; 7436]; [1196; 4992]; [3940; 6277]; [265; 1450]; [1259; 3062]; [326; 5109]; [7488; 9050]; [3531; 5291]; [5241; 8571]; [5762; 7519]; [8036; 10575]; [1969; 7544]; [8810; 9969]; [1692; 2540]; [4362; 8602]; [2115; 7369]; [3520; 10013]; [3026; 7226]; [5765; 8167]; [1488; 4238]; [3528; 7622]; [4015; 7740]; [436; 9037]; [1489; 7846]; [687; 6404]; [498; 3499]; [6103; 8162]; [5036; 7011]; [683; 2498]; [4387; 6565]; [1933; 8237]; [3726; 4604]; [7620; 8014]; [9856; 10586]; [1981; 7904]; [4811; 11215]; [4467; 11405]; [8866; 9847]; [5714; 10457]; [9009; 10155]; [2350; 9464]; [5748; 10041]; [4972; 9820]; [607; 10208]; [990; 9946]; [8540; 10616]; [7917; 11391]; [4240; 9147]; [10690; 11162]; [3591; 10953]; [3799; 5240]; [951; 6985]; [9005; 9632]; [2593; 3156]; [1459; 4947]; [2334; 10809]; [4175; 11354]; [5546; 7998]; [7726; 8009]; [6501; 10436]; [5043; 7377]; [6970; 9194]; [3391; 10491]; [5848; 6084]; [5199; 7890]; [5068; 9127]; [6499; 10740]; [10158; 10900]; [5488; 10652]; [3972; 6457]; [835; 1683]; [8168; 10986]; [849; 5553]; [148; 11333]; [5965; 7019]; [3682; 6883]; [2627; 7247]; [356; 5620]; [3680; 10220]; [3556; 7710]; [734; 11430]; [3304; 10872]; [4236; 10852]; [7006; 7696]; [471; 9515]; [2737; 8546]; [2551; 5158]; [1253; 6518]; [3987; 7115]; [436; 4044]; [840; 4659]; [7376; 9858]; [4982; 5165]; [5536; 6505]; [2143; 4774]; [2242; 11169]; [3515; 5026]; [1519; 7576]; [1111; 6061]; [1804; 4527]; [1991; 10769]; [1766; 1791]; [3559; 4574]; [4725; 11366]; [611; 9121]; [5246; 10314]; [7150; 10427]; [6338; 8297]; [9159; 11522]; [7739; 11199]; [12; 7257]; [1419; 10728]; [6044; 11233]; [2012; 11242]; [665; 6324]; [2714; 9070]; [408; 10640]; [2223; 9964]; [1406; 3326]; [1694; 9620]; [8965; 10875]; [4574; 10042]; [7507; 7816]; [7598; 7934]; [5879; 9072]; [3701; 4226]; [249; 6796]; [4051; 7234]; [6157; 8262]; [1556; 6653]; [1148; 11554]; [3206; 3466]; [9635; 10296]; [732; 6391]; [799; 1197]; [5721; 8082]; [2006; 3856]; [3318; 10473]; [6709; 9879]; [8949; 9187]; [769; 8875]; [253; 9547]; [10091; 10697]; [9755; 11502]; [8132; 10096]; [3020; 9503]; [6263; 8257]; [5989; 9940]; [4184; 9052]; [4681; 9858]; [6324; 9664]; [1959; 5888]; [6322; 8837]; [7196; 9593]; [9219; 11118]; [7595; 9864]; [8369; 8504]; [7180; 10588]; [1490; 4097]; [2398; 10099]; [10195; 10646]; [9768; 11333]; [272; 6914]; [430; 8254]; [513; 3593]; [2109; 9215]; [8140; 10337]; [5435; 8226]; [7890; 9408]; [261; 6001]; [1582; 4036]; [537; 5118]; [8725; 10209]; [1603; 8296]; [1632; 6782]; [6052; 10265]; [290; 1454]; [1232; 9292]; [917; 1552]; [9067; 10323]; [9280; 11370]; [7015; 9531]; [3746; 5392]; [4859; 7662]; [6196; 6230]; [2311; 4037]; [3983; 10997]; [3522; 9848]; [244; 7875]; [1405; 1491]; [1577; 2537]; [995; 9729]; [2425; 4324]; [675; 3897]; [685; 4585]; [5905; 8683]; [9267; 9603]; [4974; 5141]; [5507; 5604]; [7716; 10517]; [5785; 11210]; [7901; 9516]; [1115; 1136]; [3405; 11141]; [9077; 9856]; [6902; 10943]; [3874; 9899]; [1598; 3764]; [4259; 9710]; [3100; 4089]; [5246; 7899]; [8485; 9163]; [3597; 8278]; [1138; 8852]; [1482; 9416]; [1348; 6218]; [453; 8749]; [4992; 10234]; [1224; 10878]; [3344; 3668]; [238; 6875]; [35; 6546]; [2631; 7933]; [3023; 10443]; [4045; 7687]; [4244; 9028]; [8628; 8690]; [502; 2225]; [1623; 11526]; [4832; 5034]; [2831; 7240]; [1411; 7671]; [1525; 2323]; [1098; 3010]; [3143; 6014]; [1871; 8595]; [273; 5556]; [2298; 7908]; [687; 11023]; [4111; 6405]; [2552; 4792]; [5076; 8777]; [3822; 6302]; [243; 7599]; [1642; 6291]; [4699; 6575]; [1017; 6239]; [272; 1921]; [4043; 7210]; [3950; 4767]; [2513; 9001]; [4841; 8910]; [2671; 10341]; [2822; 9756]; [2411; 8724]; [6440; 8387]; [4914; 7668]; [1424; 7502]; [2313; 11572]; [3226; 11502]; [1375; 3853]; [3349; 9623]; [4581; 9895]; [1439; 5531]; [694; 4623]; [2684; 10172]; [7689; 10144]; [5020; 9942]; [5827; 9476]; [8246; 11001]; [5693; 7032]; [4106; 8289]; [1251; 8863]; [11053; 11110]; [3615; 4265]; [3295; 4849]; [4234; 6754]; [2955; 5912]; [3760; 3865]; [6124; 6437]; [1860; 6877]; [5411; 10702]; [8859; 9888]; [2228; 5583]; [645; 3576]; [6307; 8773]; [10785; 11480]; [5209; 6057]; [6771; 7187]; [2944; 10634]; [5031; 7448]; [3682; 8119]; [2295; 3772]; [4037; 9219]; [2091; 5470]; [2311; 7688]; [4439; 6755]; [3336; 10111]; [5275; 11191]; [1839; 7878]; [1932; 4659]; [6042; 9414]; [6634; 7074]; [1539; 8340]; [164; 7036]; [790; 9942]; [6315; 8260]; [4926; 10256]; [2519; 11020]; [6629; 10113]; [6319; 11385]; [1715; 3089]; [908; 1303]; [273; 6979]; [1405; 2109]; [226; 717]; [4038; 8289]; [9466; 11562]; [7685; 9570]; [488; 1656]; [2552; 9598]; [9577; 11578]; [240; 11353]; [4691; 10739]; [5582; 10718]; [2066; 9331]; [5111; 8100]; [4591; 9754]; [3846; 5436]; [1718; 5615]; [4916; 5380]; [4174; 10405]; [4358; 6550]; [1180; 1775]; [782; 5112]; [5675; 7095]; [2750; 6930]; [5637; 10775]; [7533; 10273]; [1929; 9218]; [6853; 10514]; [2643; 8561]; [4389; 11498]; [6936; 9236]; [8082; 8236]; [597; 8715]; [181; 6585]; [5623; 9564]; [10547; 10860]; [2044; 10861]; [337; 7098]; [1395; 6251]; [2241; 4959]; [3361; 4990]; [1422; 8074]; [5864; 9626]; [1422; 11457]; [2625; 6827]; [286; 6759]; [979; 10887]; [6020; 7106]; [2370; 3275]; [420; 6170]; [2120; 8762]; [4372; 10339]; [2901; 2911]; [528; 9675]; [3745; 7208]; [8156; 8693]; [7122; 8436]; [6507; 6820]; [9394; 10665]; [655; 7915]; [4542; 5273]; [3448; 6463]; [9087; 9956]; [7399; 10407]; [2576; 9917]; [4004; 7095]; [2224; 8711]; [3698; 6988]; [2602; 8105]; [7619; 9592]; [4095; 10596]; [1175; 10775]; [8692; 9053]; [8007; 8950]; [1874; 7551]; [7794; 11286]; [258; 3906]; [2714; 8696]; [6102; 7831]; [6163; 11490]; [5074; 6608]; [807; 8285]; [1243; 11067]; [5262; 10042]; [4049; 6814]; [432; 5375]; [4170; 9026]; [10294; 11056]; [112; 2926]; [3291; 4139]; [5810; 7780]; [2945; 7666]; [6048; 9823]; [5313; 10357]; [4910; 9186]; [5156; 6209]; [636; 8938]; [6856; 8801]; [4815; 5916]; [2809; 7778]; [1386; 3774]; [4459; 4591]; [5491; 8185]; [6200; 7184]; [1138; 10088]; [3058; 8482]; [2127; 11356]; [5298; 8544]; [3899; 9098]; [6397; 7698]; [2312; 3939]; [2212; 6741]; [6446; 6836]; [8846; 9065]; [995; 6777]; [4444; 9571]; [1426; 2799]; [2401; 6613]; [278; 720]; [8433; 9835]; [1122; 5771]; [3603; 8174]; [3738; 7810]; [11174; 11576]; [4538; 6173]; [2456; 3287]; [7144; 7524]; [5750; 9176]; [4468; 10315]; [361; 9241]; [3454; 11434]; [2202; 3370]; [636; 11166]; [2260; 6758]; [3903; 8816]; [228; 3235]; [5993; 11563]; [9852; 11037]; [4124; 7472]; [5061; 8550]; [4892; 6297]; [8503; 10173]; [4093; 5126]; [1070; 8590]; [383; 7660]; [572; 3395]; [3108; 10423]; [3402; 4454]; [1592; 3976]; [530; 3923]; [2159; 5521]; [4105; 5136]; [5877; 7042]; [7707; 8926]; [399; 1373]; [5058; 7124]; [4339; 7410]; [483; 10119]; [5927; 6755]; [3998; 11281]; [77; 2261]; [1109; 6609]; [6214; 6785]; [2415; 3612]; [2468; 2492]; [301; 7604]; [2761; 9884]; [3054; 5999]; [7258; 10389]; [5831; 7397]; [134; 6151]; [4666; 9875]; [5139; 6123]; [1066; 10295]; [5429; 9080]; [3948; 7380]; [5675; 6103]; [3743; 3942]; [30; 9211]; [4388; 7652]; [427; 5649]; [1645; 2051]; [3520; 7842]; [5812; 8094]; [347; 3411]; [930; 10407]; [897; 8015]; [57; 3837]; [2426; 5999]; [6965; 7484]; [3487; 8833]; [5189; 5836]; [79; 1152]; [1393; 8596]; [9390; 9955]; [2594; 7303]; [799; 7857]; [4319; 9363]; [2915; 6163]; [4690; 7586]; [1235; 10639]; [7952; 8302]; [1131; 9535]; [7896; 11376]; [6081; 9800]; [7428; 9056]; [856; 4577]; [4641; 7320]; [3514; 6872]; [4076; 8073]; [8996; 9627]; [1083; 6461]; [3981; 5934]; [8704; 9226]; [460; 6455]; [1017; 11476]; [1853; 5332]; [2009; 5845]; [5180; 7197]; [142; 4833]; [367; 7395]; [1328; 6615]; [1228; 8663]; [4865; 11508]; [4202; 6468]; [3646; 4301]; [543; 5527]; [727; 8088]; [5008; 8029]; [6919; 9313]; [7003; 8260]; [6982; 7383]; [6295; 10617]; [9378; 11368]; [5347; 10878]; [4865; 5442]; [8179; 8600]; [462; 9510]; [3144; 9917]; [1619; 6390]; [1116; 11431]; [3849; 8393]; [234; 10033]; [9327; 11029]; [5958; 8938]; [5741; 11155]; [6307; 7594]; [732; 11441]; [2850; 9820]; [4099; 6289]; [2504; 9183]; [634; 4490]; [9441; 11316]; [1225; 8341]; [6359; 7003]; [2222; 3054]; [78; 3454]; [513; 9798]; [6490; 9149]; [2156; 2434]; [2937; 2999]; [9812; 10670]; [970; 4035]; [8509; 10932]; [3554; 3907]; [218; 2710]; [1747; 7864]; [6351; 8990]; [5222; 5463]; [3329; 8892]; [1403; 6519]; [4579; 8215]; [2108; 8028]; [9927; 10778]; [4010; 9226]; [1854; 10363]; [2914; 3173]; [765; 3229]; [2669; 9758]; [2631; 7022]; [148; 7202]; [1491; 8968]; [6866; 10725]; [2884; 8599]; [7201; 10449]; [2443; 3938]; [3336; 4744]; [8498; 8837]; [2405; 11001]; [1146; 1766]; [6331; 7533]; [7687; 9561]; [1025; 10107]; [6788; 8940]; [3770; 8584]; [988; 3809]; [4017; 8461]; [991; 1074]; [4419; 10161]; [6876; 8006]; [8214; 9428]; [3348; 11520]; [8463; 10132]; [2849; 8389]; [366; 4405]; [864; 8819]; [520; 2593]; [8393; 8612]; [5153; 9375]; [4680; 6711]; [1173; 3158]; [2100; 9964]; [1136; 10446]; [5388; 5485]; [3151; 4940]; [2344; 3908]; [1473; 6833]; [1476; 10514]; [5237; 10951]; [1407; 8465]; [5703; 10192]; [1246; 10991]; [7388; 8689]; [2235; 5843]; [2887; 3554]; [218; 7516]; [4576; 5957]; [4170; 5269]; [8589; 10779]; [456; 3143]; [11018; 11494]; [3237; 10699]; [2012; 5956]; [2700; 10494]; [2861; 4935]; [9213; 10579]; [294; 8450]; [7171; 10532]; [3036; 3246]; [2881; 5587]; [2440; 5844]; [2968; 8215]; [979; 5520]; [4246; 9586]; [2100; 9159]; [7296; 7945]; [6802; 11574]; [7363; 9921]; [1537; 9985]; [4390; 5578]; [1693; 8246]; [755; 3533]; [1027; 1777]; [1441; 6490]; [3798; 11301]; [4835; 9577]; [3359; 8221]; [2619; 4247]; [1705; 8256]; [189; 1809]; [2556; 3144]; [2611; 7015]; [9828; 11417]; [3914; 9382]; [8299; 10400]; [713; 3657]; [8123; 8454]; [3696; 7210]; [4909; 8186]; [7056; 11467]; [4723; 4798]; [4100; 5573]; [1016; 11013]; [1752; 7671]; [329; 3667]; [7477; 10184]; [2635; 4726]; [6; 947]; [4142; 7677]; [2059; 10982]; [4583; 8551]; [311; 4966]; [5166; 10629]; [2435; 7297]; [2769; 6419]; [656; 1968]; [2870; 11389]; [3546; 9494]; [2739; 7708]; [4358; 9372]; [779; 10669]; [528; 6886]; [6102; 9230]; [648; 5490]; [1238; 2323]; [745; 8052]; [2703; 9182]; [8948; 10041]; [359; 4606]; [6678; 7104]; [9150; 10899]; [7643; 7978]; [201; 6649]; [6826; 11139]; [2698; 5024]; [5174; 7083]; [2154; 10064]; [2099; 3941]; [5947; 7006]; [5738; 6832]; [2276; 8714]; [4198; 7181]; [4297; 7160]; [7913; 9128]; [1032; 3894]; [722; 9330]; [6094; 10816]; [3141; 10855]; [3050; 9239]; [1081; 3032]; [3730; 5965]; [603; 10577]; [5678; 11288]; [321; 10110]; [6291; 6792]; [8591; 11069]; [2779; 2895]; [4917; 9096]; [5297; 8563]; [6696; 8009]; [9901; 10443]; [3337; 7360]; [935; 9222]; [4266; 7823]; [2614; 10937]; [5573; 7680]; [7479; 8620]; [2126; 11348]; [1459; 5435]; [5293; 8794]; [374; 1426]; [5671; 7434]; [4785; 9327]; [6789; 10802]; [8774; 9591]; [369; 10881]; [8648; 11172]; [2146; 8967]; [964; 8058]; [5902; 6808]; [2631; 8258]; [1602; 7591]; [4501; 6535]; [3169; 9065]; [4413; 4436]; [1951; 6247]; [5039; 7342]; [8614; 9309]; [1919; 6709]; [1420; 5076]; [1974; 6416]; [5764; 10257]; [1471; 5795]; [7926; 8154]; [1412; 4434]; [5108; 8640]; [3125; 9143]; [4; 7908]; [2564; 6632]; [1563; 2351]; [1497; 3983]; [944; 6251]; [1312; 1951]; [2430; 7571]; [68; 164]; [6268; 7666]; [3493; 4816]; [874; 8141]; [8965; 9135]; [3301; 8029]; [6621; 7969]; [963; 10815]; [1354; 4055]; [1121; 11401]; [3414; 8091]; [300; 1611]; [5440; 7635]; [724; 7042]; [333; 7386]; [2537; 11201]; [3191; 5575]; [3160; 4010]; [6981; 8662]; [1327; 1828]; [3371; 8394]; [2042; 4025]; [3055; 3435]; [2093; 4744]; [164; 8516]; [909; 3008]; [5642; 6988]; [2063; 8285]; [1781; 9353]; [1405; 10005]; [1566; 10862]; [3765; 8671]; [10368; 10928]; [809; 2777]; [5000; 6208]; [2357; 4975]; [4315; 6105]; [5254; 9508]; [5567; 7753]; [3112; 10735]; [5345; 9626]; [5386; 9627]; [1518; 10821]; [1146; 8963]; [2328; 3456]; [4846; 9124]; [6733; 11542]; [5776; 9031]; [855; 5000]; [9545; 11241]; [6126; 9787]; [2324; 2933]; [3750; 6454]; [6396; 11368]; [2105; 4323]; [5706; 10921]; [2168; 8055]; [6146; 11193]; [4372; 6208]; [2149; 3117]; [7329; 8540]; [8125; 9413]; [1124; 6329]; [5355; 6907]; [1994; 9595]; [7255; 7278]; [4230; 5751]; [3949; 9673]; [1928; 3683]; [3142; 8641]; [5752; 6728]; [4599; 11475]; [1951; 9898]; [4263; 11526]; [3268; 10443]; [1900; 6146]; [1726; 10719]; [7524; 8607]; [492; 3204]; [5584; 8056]; [2470; 4986]; [644; 10391]; [9257; 9804]; [3624; 3847]; [1330; 6932]; [565; 1238]; [731; 8855]; [503; 9405]; [912; 8112]; [881; 2383]; [1003; 1060]; [5729; 11039]; [4647; 10711]; [3704; 5654]; [1951; 5710]; [6415; 10963]; [5075; 7216]; [1582; 9785]; [6569; 8397]; [2083; 4294]; [710; 10206]; [4433; 5655]; [4964; 5291]; [9852; 11094]; [9069; 9702]; [4091; 11553]; [3613; 8545]; [10305; 10847]; [594; 2302]; [5798; 5867]; [2465; 10603]; [8041; 9610]; [3963; 9274]; [6014; 6431]; [4142; 11491]; [847; 6131]; [5542; 7375]; [2025; 9550]; [4386; 5435]; [4165; 9408]; [5264; 8562]; [1331; 5197]; [3759; 7939]; [2971; 3951]; [2984; 9074]; [1551; 4382]; [1172; 7769]; [666; 2713]; [4678; 11097]; [5746; 10938]; [10655; 11202]; [3930; 5727]; [2445; 5009]; [7851; 8331]; [3503; 4162]; [5467; 8490]; [8438; 9030]; [6770; 10857]; [6631; 8069]; [163; 4694]; [3081; 7852]; [1348; 9284]; [7377; 9579]; [598; 1616]; [583; 6219]; [1768; 10809]; [5166; 7222]; [3141; 4870]; [799; 10947]; [6929; 11294]; [2113; 7811]; [7612; 11324]; [1358; 6215]; [4754; 5965]; [526; 2652]; [206; 7400]; [3449; 6154]; [5309; 10159]; [3721; 4398]; [1890; 3043]; [9921; 10402]; [3407; 5928]; [11163; 11362]; [487; 6861]; [3599; 6098]; [7951; 11140]; [3493; 9085]; [7646; 10504]; [6297; 11175]; [941; 7216]; [6046; 7392]; [4621; 6725]; [7011; 9764]; [3335; 4712]; [968; 2596]; [7647; 10355]; [10298; 11449]; [3641; 5169]; [3147; 8798]; [5038; 7952]; [7097; 9134]; [3417; 3963]; [4449; 7557]; [3416; 5990]; [4037; 8552]; [3596; 4645]; [6741; 11192]; [2916; 9050]; [5614; 9990]; [2546; 3855]; [421; 4305]; [5503; 6187]; [4004; 9543]; [759; 9962]; [1688; 4763]; [8790; 10905]; [3382; 7510]; [725; 8099]; [4916; 5868]; [5015; 11509]; [3303; 7402]; [7260; 9663]; [8567; 9520]; [723; 4239]; [3240; 7053]; [4787; 6397]; [3084; 9923]; [4510; 7028]; [5188; 10124]; [5568; 10345]; [7393; 11131]; [839; 8736]; [357; 8992]; [6365; 7656]; [4938; 6916]; [3203; 7521]; [2950; 7075]; [7616; 9833]; [4008; 6228]; [4031; 11315]; [6298; 9036]; [2119; 6396]; [5086; 9416]; [4680; 8728]; [4525; 11069]; [7939; 8015]; [5948; 8657]; [3018; 3984]; [5664; 8898]; [7534; 10181]; [9492; 11311]; [405; 11261]; [433; 477]; [7786; 8150]; [4398; 9015]; [6124; 10576]; [4792; 5936]; [2307; 6043]; [4043; 4128]; [3144; 9169]; [1212; 7762]; [4192; 7634]; [1528; 5524]; [4074; 6824]; [304; 4389]; [4629; 11018]; [4593; 4945]; [7588; 10767]; [2139; 10781]; [6270; 9997]; [3037; 5515]; [8257; 9613]; [5366; 11284]; [1019; 9969]; [2129; 2896]; [1499; 2500]; [3157; 9754]; [979; 4154]; [7508; 11188]; [5796; 7081]; [2779; 7327]; [570; 3168]; [1836; 8686]; [568; 2341]; [1213; 9461]; [564; 11267]; [5891; 7318]; [354; 7485]; [595; 4164]; [6916; 10495]; [3934; 9796]; [5207; 10069]; [9056; 10353]; [3483; 4447]; [4561; 9170]; [710; 8059]; [7191; 9387]; [178; 1782]; [6872; 10573]; [7424; 11086]; [7174; 10911]; [2392; 10422]; [10723; 10903]; [3973; 8596]; [3035; 3883]; [10220; 10282]; [3501; 9540]; [5813; 11168]; [3991; 9175]; [670; 9010]; [4459; 5079]; [597; 9471]; [6355; 7960]; [2396; 9790]; [2996; 5059]; [7286; 8469]; [5698; 6872]; [1488; 4165]; [1532; 10853]; [2000; 6003]; [9899; 10991]; [4235; 5721]; [597; 9821]; [2419; 11090]; [3544; 11465]; [3143; 11121]; [2740; 9950]; [10448; 11206]; [2762; 5013]; [8266; 8870]; [559; 10468]; [5471; 10249]; [6211; 7807]; [540; 5530]; [7580; 10794]; [271; 6803]; [237; 1557]; [4839; 6774]; [4097; 6137]; [6456; 7611]; [5463; 6601]; [3410; 9371]; [4613; 4741]; [10686; 10970]; [5491; 7868]; [515; 10546]; [5706; 9742]; [6205; 7211]; [2031; 4161]; [1747; 5156]; [2500; 2919]; [1968; 10228]; [8091; 9404]; [1088; 8903]; [8932; 10020]; [1062; 7682]; [6320; 8100]; [6755; 8028]; [1555; 10998]; [2988; 10028]; [5047; 11210]; [8555; 11201]; [6915; 8660]; [8964; 9908]; [3422; 9731]; [7398; 11288]; [4721; 4809]; [8526; 9682]; [1888; 9868]; [9367; 10298]; [9666; 10365]; [6648; 10009]; [3355; 4722]; [2814; 10033]; [360; 9453]; [425; 9848]; [1941; 3463]; [2727; 4372]; [7730; 10687]; [6866; 8367]; [5051; 7545]; [9469; 10201]; [6669; 11236]; [6920; 8603]; [4337; 11585]; [6479; 8106]; [5732; 7125]; [1160; 10418]; [5107; 7073]; [5692; 9978]; [5609; 8223]; [1743; 10244]; [9368; 9745]; [3045; 3341]; [3139; 8638]; [10958; 11388]; [2923; 7293]; [9086; 10032]; [10755; 11059]; [115; 8467]; [9289; 10391]; [3600; 6754]; [2655; 5034]; [6961; 7449]; [5063; 11288]; [1171; 7170]; [1505; 6292]; [4557; 6232]; [7707; 8959]; [6138; 6658]; [8235; 11330]; [5668; 8429]; [7132; 8270]; [475; 2744]; [7319; 8096]; [4469; 9768]; [1723; 11066]; [3898; 4317]; [1907; 7211]; [3562; 10784]; [4646; 8906]; [2065; 8551]; [382; 9346]; [3682; 9388]; [7947; 11048]; [3837; 6293]; [4332; 10436]; [1243; 11368]; [1059; 2391]; [1303; 5003]; [1154; 9044]; [8805; 9766]; [2260; 10897]; [5229; 11334]; [3906; 10220]; [900; 4963]; [1951; 7109]; [25; 11152]; [300; 6661]; [647; 10152]; [16; 486]; [2445; 6863]; [9343; 9822]; [9291; 9632]; [2386; 9666]; [6954; 9637]; [6460; 8348]; [4834; 10431]; [3584; 8075]; [41; 4865]; [540; 6498]; [4141; 8932]; [8435; 9832]; [5045; 7618]; [659; 713]; [1804; 2494]; [3882; 7890]; [34; 10460]; [1744; 11488]; [1235; 2751]; [8049; 10146]; [3780; 4580]; [3322; 3702]; [3623; 6848]; [3220; 11339]; [4744; 9733]; [7235; 11326]; [1540; 3737]; [5958; 6393]; [5736; 8266]; [4996; 7702]; [8943; 11527]; [3026; 5811]; [7516; 10033]; [761; 7382]; [8130; 11424]; [3930; 10159]; [4985; 9795]; [3653; 5155]; [4670; 8471]; [377; 4009]; [4058; 6372]; [2332; 11257]; [7349; 8580]; [3364; 8435]; [1459; 11103]; [1223; 8352]; [7472; 10865]; [1772; 2932]; [3694; 4405]; [4889; 9683]; [1682; 6422]; [577; 7453]; [2990; 9133]; [4356; 6187]; [2145; 5365]; [4970; 7578]; [3387; 6325]; [8263; 10613]; [665; 6519]; [702; 11282]; [3412; 8075]; [5561; 5767]; [833; 2131]; [5960; 9448]; [3694; 4755]; [3093; 9261]; [4244; 8605]; [1671; 8111]; [5054; 7656]; [2134; 3671]; [4804; 6727]; [2651; 11545]; [6137; 7805]; [1560; 10754]; [1315; 3753]; [1091; 2547]; [2703; 8702]; [5256; 7009]; [4051; 10812]; [4827; 11033]; [2738; 11140]; [3340; 9488]; [1336; 1597]; [3949; 10535]; [687; 1151]; [1036; 1305]; [2455; 7819]; [1889; 9128]; [2305; 4842]; [1152; 2419]; [6377; 6861]; [5900; 7461]; [10325; 11288]; [6115; 9335]; [9927; 10461]; [4977; 7944]; [7489; 10414]; [333; 9671]; [4414; 9524]; [2635; 9857]; [5692; 10141]; [7273; 9069]; [9043; 10148]; [1486; 8307]; [6365; 9860]; [9532; 9558]; [2252; 11223]; [10276; 10995]; [159; 3260]; [4959; 6964]; [4706; 8770]; [3455; 3560]; [5170; 7184]; [3587; 5177]; [1441; 11166]; [10030; 10939]; [526; 1741]; [1307; 2306]; [3705; 7118]; [3791; 9144]; [4410; 4463]; [3321; 3745]; [5380; 11343]; [526; 11540]; [3632; 7579]; [4757; 7954]; [1123; 3128]; [550; 9682]; [4944; 7780]; [7119; 7447]; [703; 4262]; [1016; 2507]; [5337; 7482]; [1098; 4010]; [1534; 4540]; [1317; 6003]; [7449; 9429]; [3906; 10383]; [720; 1583]; [6516; 9224]; [6987; 11061]; [593; 5191]; [7191; 7858]; [4049; 9156]; [1439; 4653]; [157; 5792]; [5229; 9992]; [10179; 10257]; [3727; 7415]; [1710; 9088]; [6061; 10522]; [6131; 11261]; [4672; 5348]; [4235; 5347]; [83; 366]; [7056; 8572]; [6058; 10224]; [8745; 10975]; [2942; 6327]; [3110; 8355]; [555; 2805]; [1181; 6465]; [1802; 9027]; [4166; 4429]; [1115; 8097]; [7426; 10734]; [289; 7789]; [2329; 11173]; [868; 10849]; [10937; 10996]; [7606; 9389]; [1627; 9211]; [703; 6840]; [8118; 11227]; [3655; 8828]; [1809; 8693]; [1423; 9381]; [1747; 7815]; [4424; 7878]; [2158; 2431]; [8040; 9092]; [4022; 9561]; [4392; 8340]; [1720; 2205]; [629; 7830]; [2778; 5522]; [4398; 5876]; [1810; 8514]; [1101; 3853]; [9903; 10335]; [3143; 3176]; [5133; 8725]; [2362; 5994]; [3415; 4803]; [4977; 5179]; [1121; 7888]; [949; 2708]; [671; 6147]; [1734; 9808]; [6894; 9691]; [1925; 2960]; [5631; 7100]; [174; 2308]; [6268; 9414]; [1199; 5485]; [7202; 10975]; [3188; 5928]; [4657; 10277]; [2501; 11414]; [1104; 6379]; [2537; 11071]; [235; 3715]; [2413; 9315]; [3650; 9931]; [5176; 8398]; [4706; 6005]; [691; 7903]; [4796; 5898]; [3022; 7329]; [2776; 3890]; [6134; 7320]; [2022; 5902]; [2969; 6914]; [125; 8431]; [4607; 6376]; [7103; 10565]; [1339; 11507]; [1554; 9217]; [1714; 11384]; [302; 399]; [2732; 10384]; [1020; 7031]; [1522; 1765]; [5527; 8224]; [960; 5445]; [2161; 4152]; [1768; 7833]; [3380; 8326]; [265; 8037]; [3124; 9834]; [2125; 11261]; [9227; 9489]; [2219; 8644]; [5605; 6952]; [2781; 9845]; [1305; 2073]; [5891; 6757]; [8158; 8642]; [3423; 10251]; [2014; 10117]; [6625; 6752]; [4913; 9061]; [3300; 9097]; [334; 4767]; [1734; 11231]; [8678; 10371]; [1990; 8942]; [115; 3905]; [7186; 8482]; [6226; 6454]; [6532; 7692]; [4407; 8142]; [3512; 6509]; [6502; 11233]; [7708; 10284]; [2352; 7079]; [1010; 4003]; [4406; 10169]; [3387; 10944]; [3725; 4523]; [2746; 9635]; [4155; 9769]; [3131; 10200]; [2823; 5883]; [6642; 7456]; [6848; 7332]; [444; 5662]; [10643; 10763]; [4275; 5340]; [3523; 9677]; [8791; 11537]; [4113; 6510]; [2898; 10379]; [7970; 11573]; [5420; 6367]; [3491; 4477]; [693; 6339]; [4171; 7619]; [3539; 4144]; [4098; 5828]; [3007; 7289]; [8607; 10854]; [5338; 10879]; [1895; 4867]; [2731; 5139]; [3192; 10452]; [7733; 11229]; [5840; 8996]; [1256; 10020]; [4519; 10180]; [4638; 5176]; [653; 5785]; [7354; 11583]; [7875; 10531]; [4898; 10176]; [11338; 11503]; [1254; 3908]; [689; 11077]; [6011; 6784]; [8086; 8499]; [1609; 7290]; [1177; 1217]; [748; 5241]; [2115; 9313]; [1449; 2844]; [4158; 11490]; [2224; 9256]; [1288; 5370]; [2720; 3421]; [4554; 9211]; [1233; 9046]; [7009; 10393]; [2718; 3348]; [4523; 6865]; [6264; 9458]; [8657; 9762]; [1372; 10329]; [4672; 9617]; [10088; 11375]; [7044; 9798]; [284; 2639]; [3525; 11146]; [5547; 7565]; [657; 11515]; [8255; 9193]; [8812; 10050]; [6873; 7472]; [4791; 8750]; [935; 7295]; [5353; 9951]; [2581; 6618]; [6929; 7781]; [1531; 11490]; [6378; 10876]; [4141; 10331]; [495; 10406]; [1269; 9800]; [1962; 7512]; [4978; 7795]; [3347; 8780]; [2579; 6922]; [7517; 7924]; [2976; 9776]; [261; 6977]; [4414; 9150]; [1880; 8641]; [6427; 9233]; [3777; 5331]; [1564; 9344]; [4241; 10161]; [2496; 10078]; [8843; 8962]; [4801; 8283]; [5604; 6163]; [3031; 10587]; [8284; 9907]; [9552; 10590]; [11; 7152]; [8278; 10092]; [286; 2661]; [4355; 7415]; [6657; 8355]; [2333; 8744]; [1617; 7076]; [3272; 3479]; [1739; 8005]; [1687; 7815]; [1964; 4151]; [835; 8538]; [3607; 6209]; [5966; 7683]; [2337; 3201]; [1115; 5145]; [7056; 9003]; [4690; 6358]; [1825; 6244]; [9328; 11232]; [1166; 5110]; [4316; 7837]; [7802; 10513]; [4438; 9520]; [5527; 7232]; [7994; 10683]; [9520; 11402]; [148; 8739]; [7250; 9219]; [5158; 5645]; [569; 10489]; [1013; 1835]; [2943; 7333]; [6887; 7854]; [1231; 6609]; [1415; 8416]; [1783; 7122]; [8505; 11545]; [575; 4992]; [779; 8205]; [8062; 10975]; [598; 9325]; [89; 1342]; [1439; 10695]; [6449; 11011]; [5857; 6935]; [4014; 10481]; [7348; 8599]; [497; 2076]; [5763; 6519]; [4383; 11287]; [5159; 11508]; [4937; 6211]; [393; 972]; [1996; 8519]; [1024; 1970]; [1726; 6214]; [3694; 8032]; [3510; 5471]; [2078; 10049]; [2176; 7174]; [3102; 3956]; [1760; 5044]; [1055; 6918]; [2070; 9407]; [4035; 5292]; [1571; 5522]; [5712; 6180]; [2324; 4039]; [4748; 6662]; [8036; 8599]; [3158; 7648]; [942; 8734]; [5341; 7176]; [2621; 10449]; [2068; 9711]; [1965; 8832]; [2976; 11549]; [6173; 7706]; [8604; 11500]; [2379; 7129]; [257; 11260]; [467; 5593]; [3056; 3557]; [2238; 10280]; [1956; 4932]; [268; 5383]; [2924; 4569]; [57; 4382]; [8862; 11135]; [6651; 9559]; [4720; 11006]; [520; 9741]; [2905; 5266]; [5527; 5622]; [1394; 6333]; [2409; 8068]; [3502; 4024]; [7772; 9411]; [4240; 10554]; [164; 4629]; [4026; 5872]; [4062; 5529]; [3344; 9450]; [2372; 5153]; [5288; 5986]; [4355; 8033]; [905; 5014]; [10431; 11527]; [1842; 6092]; [7654; 7850]; [7026; 7527]; [7652; 11187]; [2614; 8823]; [713; 1811]; [3204; 9820]; [1045; 4270]; [10920; 10937]; [4263; 5411]; [5440; 5976]; [1455; 5831]; [1360; 8977]; [5066; 9707]; [24; 7601]; [5027; 6746]; [1751; 5600]; [4963; 9205]; [3008; 6094]; [1292; 4497]; [4554; 8219]; [6915; 8985]; [2625; 8958]; [3528; 10452]; [1684; 4728]; [285; 5282]; [3893; 9641]; [1410; 5657]; [942; 4091]; [2554; 3830]; [3555; 6613]; [4676; 9498]; [2613; 4410]; [4201; 6761]; [5011; 5812]; [2521; 11237]; [892; 3223]; [3544; 11335]; [3260; 11576]; [4139; 8512]; [1338; 10857]; [1584; 7880]; [1856; 6124]; [2609; 3887]; [1009; 7191]; [7968; 11527]; [769; 7704]; [543; 11333]; [694; 9250]; [2502; 8901]; [5060; 5300]; [11027; 11133]; [7329; 10264]; [1777; 9399]; [2033; 7110]; [4335; 8050]; [4796; 6947]; [4462; 7825]; [6425; 9299]; [5014; 8338]; [320; 9948]; [3587; 6844]; [3621; 6428]; [2654; 6639]; [1495; 6653]; [5139; 10669]; [3148; 7147]; [901; 5914]; [583; 909]; [4042; 5145]; [8641; 10091]; [6939; 7426]; [2300; 8743]; [9860; 10101]; [5438; 7703]; [307; 9312]; [9266; 9362]; [5462; 8097]; [147; 4893]; [7172; 9125]; [88; 9948]; [9135; 10599]; [2973; 4298]; [894; 11509]; [6090; 8797]; [703; 6279]; [3528; 8492]; [228; 9204]; [9660; 9666]; [551; 8891]; [3290; 9832]; [1657; 10744]; [3622; 5875]; [2429; 6305]; [1498; 2763]; [4216; 9997]; [8419; 10779]; [1188; 2537]; [477; 6875]; [3218; 5233]; [1438; 6095]; [3215; 10597]; [340; 10549]; [2611; 9170]; [990; 1017]; [490; 10493]; [2852; 5068]; [3258; 3504]; [5744; 7005]; [3383; 4704]; [1917; 4036]; [8305; 9337]; [2515; 9812]; [5455; 10285]; [2786; 10083]; [415; 11258]; [3469; 7861]; [17; 4015]; [1626; 4237]; [2978; 3837]; [474; 5422]; [131; 8466]; [3672; 4433]; [8496; 8531]; [1249; 1254]; [4932; 10860]; [5703; 10737]; [5235; 8417]; [4648; 4685]; [3490; 8334]; [2827; 6300]; [616; 4724]; [3766; 7451]; [9655; 11119]; [1873; 5218]; [6307; 8407]; [9899; 11479]; [1243; 4822]; [495; 10032]; [1524; 3529]; [1887; 8307]; [607; 3857]; [5069; 6785]; [6588; 10497]; [2147; 6137]; [2388; 9232]; [924; 2975]; [571; 1167]; [1453; 8200]; [1018; 2610]; [2064; 3658]; [8259; 11570]; [1719; 6629]; [1101; 7748]; [2252; 7092]; [266; 10330]; [4717; 8962]; [9189; 9225]; [1603; 2482]; [406; 9586]; [6168; 7817]; [3494; 11435]; [8695; 11319]; [1773; 10248]; [7903; 10595]; [4983; 10774]; [4011; 6477]; [220; 10335]; [10584; 11531]; [2487; 5804]; [1828; 6922]; [1114; 1163]; [4854; 11303]; [4438; 5763]; [900; 7061]; [11287; 11459]; [8737; 11171]; [1726; 6645]; [1274; 2549]; [135; 3996]; [5532; 7956]; [3625; 9043]; [3748; 11328]; [43; 1374]; [6390; 6674]; [5516; 5918]; [261; 2765]; [1006; 3673]; [6735; 9338]; [2783; 5923]; [3562; 5661]; [878; 8591]; [7448; 9210]; [8411; 10755]; [1152; 6127]; [1766; 1856]; [6201; 6371]; [5910; 9605]; [2553; 9783]; [585; 3801]; [6741; 9533]; [3847; 4517]; [990; 11434]; [5436; 9722]; [1168; 7010]; [4349; 9050]; [493; 7595]; [2286; 10378]; [2385; 10357]; [3228; 5384]; [4439; 11195]; [4848; 9902]; [15; 7970]; [5242; 6823]; [3160; 3937]; [4751; 9969]; [9715; 9940]; [7070; 7880]; [2376; 9490]; [6545; 9190]; [540; 7791]; [283; 5691]; [3366; 7196]; [2621; 7042]; [6659; 9477]; [5019; 7690]; [3052; 9480]; [727; 6836]; [3638; 6571]; [926; 9705]; [3240; 5744]; [2459; 5179]; [2386; 9804]; [5746; 9897]; [5587; 9086]; [6877; 11218]; [3818; 8609]; [6280; 6798]; [917; 8838]; [6063; 9015]; [3914; 8317]; [4659; 9225]; [5593; 10032]; [5190; 8861]; [729; 3125]; [6520; 10422]; [3559; 4184]; [694; 10486]; [2158; 3911]; [2075; 8572]; [5745; 7393]; [6335; 10642]; [4054; 4163]; [1170; 3999]; [1965; 4270]; [4117; 7895]; [4893; 8116]; [2157; 10856]; [4306; 4384]; [8079; 10500]; [3590; 9132]; [359; 1313]; [5085; 8286]; [1936; 1997]; [4021; 5154]; [576; 8895]; [1474; 3629]; [4299; 10760]; [2647; 7458]; [7170; 7656]; [4928; 7521]; [4799; 8831]; [3801; 10483]; [6380; 10011]; [432; 8392]; [7911; 8822]; [1281; 7371]; [6970; 10227]; [2199; 9173]; [1492; 5339]; [1418; 2946]; [1808; 3101]; [588; 5872]; [959; 8259]; [1614; 9651]; [308; 6986]; [5217; 7250]; [1347; 11000]; [6369; 8667]; [4459; 10991]; [6263; 10900]; [1817; 6196]; [1869; 6386]; [9563; 10188]; [1750; 4974]; [563; 3721]; [6251; 6352]; [781; 8495]; [3916; 9436]; [4548; 9878]; [6152; 9756]; [8392; 9818]; [684; 2146]; [5122; 5454]; [855; 2967]; [1014; 7161]; [768; 3722]; [301; 11426]; [3821; 6516]; [4096; 8441]; [1412; 7207]; [1076; 11422]; [7299; 8550]; [907; 3507]; [7006; 10957]; [781; 924]; [1154; 9800]; [6606; 7051]; [219; 8768]; [6853; 6928]; [3338; 3514]; [6223; 10696]; [3453; 4026]; [6780; 11553]; [7320; 9023]; [9221; 9619]; [4414; 9662]; [1797; 7398]; [5076; 5809]; [57; 7659]; [1156; 6813]; [5166; 7954]; [2265; 5931]; [1272; 7927]; [7707; 8910]; [5155; 7041]; [7990; 8444]; [2042; 3415]; [4251; 8328]; [2699; 5634]; [2255; 4462]; [80; 3297]; [2442; 10704]; [4966; 8273]; [2032; 6110]; [605; 11032]; [1037; 11443]; [2164; 6229]; [4622; 6928]; [1265; 7106]; [2566; 3011]; [4522; 9730]; [5016; 6855]; [3175; 4058]; [9415; 9461]; [6137; 7488]; [982; 4539]; [101; 10940]; [9225; 9337]; [3750; 3966]; [9531; 10575]; [844; 3851]; [2406; 4981]; [2585; 6444]; [5291; 5747]; [6846; 9116]; [3981; 9756]; [1371; 4499]; [7442; 9901]; [7225; 11364]; [1241; 2174]; [864; 2224]; [3135; 8015]; [3042; 4818]; [8176; 9896]; [2267; 8205]; [4194; 7770]; [7955; 8207]; [4228; 6600]; [8320; 10025]; [9877; 10057]; [138; 8132]; [5617; 7206]; [7723; 8988]; [3006; 8894]; [1504; 8569]; [1869; 7004]; [379; 8194]; [5091; 11297]; [8914; 10360]; [3714; 7668]; [1026; 8944]; [23; 3836]; [970; 9012]; [335; 8272]; [331; 11536]; [9147; 9780]; [6382; 6864]; [5601; 7053]; [3111; 8314]; [3259; 8966]; [1948; 5203]; [3844; 5455]; [989; 6783]; [4719; 4901]; [3292; 8325]; [1444; 7363]; [6218; 11344]; [3575; 10111]; [920; 5111]; [1414; 2236]; [6579; 6627]; [3103; 4639]; [3158; 8510]; [1917; 6240]; [78; 860]; [6681; 10287]; [3061; 10829]; [5274; 6816]; [2076; 10434]; [5459; 9979]; [1436; 9350]; [99; 11536]; [2807; 10912]; [2533; 5425]; [2743; 2791]; [5383; 10142]; [94; 8159]; [1343; 3874]; [1897; 5214]; [2146; 8170]; [9389; 11541]; [2200; 8406]; [1115; 10813]; [217; 3247]; [5165; 9101]; [5657; 8809]; [8542; 9575]; [5276; 9871]; [2671; 4958]; [10752; 10926]; [8143; 9277]; [3965; 9491]; [2786; 8099]; [3087; 8993]; [6320; 7059]; [1851; 11231]; [5022; 8419]; [2752; 6236]; [3708; 10774]; [7966; 9765]; [2429; 9932]; [3551; 4374]; [5978; 10678]; [9832; 11306]; [154; 989]; [778; 816]; [7777; 10243]; [344; 4496]; [3360; 11195]; [9180; 10562]; [16; 4438]; [5370; 10980]; [76; 8653]; [1612; 4398]; [4406; 11462]; [5528; 5904]; [2205; 11328]; [5407; 7829]; [3072; 4497]; [2478; 10174]; [1568; 7509]; [198; 887]; [3783; 9204]; [5049; 9060]; [7444; 10191]; [8791; 9447]; [2225; 8947]; [1033; 7350]; [4623; 10349]; [5461; 11448]; [294; 10394]; [2584; 9819]; [2143; 10076]; [3423; 7356]; [1589; 2320]; [1031; 3490]; [1776; 8562]; [680; 2509]; [1810; 7392]; [6729; 8344]; [3910; 10857]; [8053; 11588]; [6504; 9165]; [1614; 6699]; [179; 8350]; [373; 8593]; [6278; 7132]; [2607; 8840]; [8610; 9412]; [8641; 8725]; [2354; 4230]; [412; 600]; [4123; 5838]; [2068; 4775]; [3434; 8245]; [1259; 9332]; [786; 6668]; [4402; 10134]; [5183; 10699]; [3584; 8189]; [726; 5082]; [1716; 9204]; [3674; 10334]; [9687; 10096]; [523; 8136]; [218; 7500]; [5698; 6799]; [653; 1012]; [1864; 6823]; [1430; 10503]; [5036; 6865]; [1984; 4646]; [1010; 10102]; [1015; 10446]; [517; 3753]; [1408; 7896]; [6707; 11321]; [6666; 8314]; [2968; 8199]; [5485; 11013]; [727; 4502]; [3836; 11392]; [1377; 5550]; [2867; 4360]; [4119; 10926]; [3152; 7727]; [750; 9589]; [2436; 5305]; [5457; 5932]; [314; 10190]; [4209; 6655]; [3395; 10114]; [1986; 3564]; [318; 6145]; [2586; 6003]; [306; 8794]; [2109; 8101]; [4535; 5135]; [3598; 7440]; [2579; 8215]; [266; 8614]; [8557; 11174]; [1174; 4790]; [6580; 11522]; [1327; 5032]; [4689; 5952]; [2918; 11064]; [8322; 11307]; [440; 7454]; [4555; 6137]; [1444; 9754]; [1535; 2702]; [2935; 5002]; [1128; 10457]; [1772; 1891]; [1849; 4555]; [7638; 11025]; [3586; 9658]; [6259; 6569]; [872; 3297]; [3800; 7143]; [1116; 10073]; [259; 4760]; [6974; 8012]; [1611; 10052]; [434; 3071]; [3732; 6450]; [1801; 7143]; [2639; 4078]; [1111; 2532]; [5558; 10844]; [3784; 5859]; [9422; 9908]; [6839; 8726]; [3102; 9437]; [6025; 6523]; [5870; 8864]; [7614; 9476]; [1260; 3005]; [6048; 10856]; [5; 6721]; [5607; 6949]; [176; 8266]; [624; 2040]; [1260; 6388]; [1719; 4458]; [2001; 7554]; [8064; 8931]; [6825; 10898]; [9161; 11422]; [4150; 10881]; [224; 2271]; [1304; 9319]; [7563; 7602]; [6477; 7155]; [3423; 4136]; [4756; 5214]; [5817; 8048]; [616; 1748]; [6197; 7515]; [1333; 11188]; [891; 3673]; [2821; 9171]; [3760; 10322]; [3232; 4541]; [7584; 8829]; [7233; 7848]; [7296; 11580]; [6233; 6421]; [3223; 10090]; [2447; 3453]; [2168; 4038]; [4493; 10065]; [995; 10038]; [7352; 9610]; [4146; 9203]; [2713; 4511]; [2680; 8535]; [5132; 6790]; [3306; 5779]; [1965; 4059]; [31; 7487]; [1609; 1980]; [487; 1876]; [870; 11440]; [276; 6537]; [30; 8016]; [3977; 11087]; [2697; 3227]; [1339; 3782]; [1774; 10126]; [269; 7251]; [1817; 5285]; [7895; 9606]; [3378; 6190]; [2903; 3453]; [3560; 5672]; [10691; 11054]; [5610; 9774]; [5543; 7798]; [8698; 10869]; [8631; 9647]; [3803; 8813]; [8042; 9252]; [928; 1595]; [7233; 7393]; [3417; 8777]; [8685; 9883]; [7045; 7342]; [8783; 10418]; [8; 1595]; [7628; 7922]; [1895; 4013]; [9083; 9929]; [3450; 3972]; [1091; 6662]; [906; 6128]; [1921; 8617]; [868; 3392]; [6654; 10345]; [3667; 5138]; [1991; 7858]; [3659; 8660]; [6747; 10509]; [2351; 11584]; [2201; 7853]; [758; 2473]; [2499; 5066]; [8820; 11397]; [8567; 10951]; [707; 9301]; [3004; 9897]; [5332; 5642]; [4607; 6140]; [3274; 10697]; [8384; 8965]; [2990; 4522]; [8201; 9258]; [1061; 2632]; [1059; 5969]; [6224; 10360]; [5417; 8574]; [250; 4110]; [726; 9701]; [6569; 6608]; [8250; 9150]; [1842; 6580]; [214; 11246]; [1422; 6960]; [498; 4589]; [3798; 3877]; [5356; 7517]; [5739; 6531]; [110; 7109]; [7737; 10443]; [8320; 10269]; [4431; 6422]; [2495; 6771]; [8945; 9540]; [2066; 10795]; [2978; 3707]; [9655; 10639]; [8631; 11070]; [8908; 9658]; [2435; 5939]; [3902; 7209]; [657; 7628]; [3181; 7449]; [1927; 4974]; [3960; 11351]; [3893; 10129]; [2988; 7808]; [8373; 9499]; [966; 2721]; [3455; 9903]; [370; 1155]; [3329; 10730]; [130; 8084]; [10238; 10815]; [3137; 7527]; [3254; 8866]; [3794; 6336]; [2854; 4960]; [3788; 8019]; [291; 5184]; [2099; 8999]; [604; 3429]; [3126; 6587]; [3279; 6829]; [5751; 6460]; [4562; 8544]; [823; 7674]; [5059; 9350]; [234; 1617]; [6209; 10721]; [46; 1566]; [1912; 9523]; [4030; 7902]; [5145; 7589]; [1754; 2521]; [6475; 9150]; [1222; 9076]; [5525; 7810]; [63; 9090]; [619; 4087]; [8781; 10209]; [3640; 4714]; [2831; 8517]; [1809; 3359]; [54; 1807]; [1451; 4590]; [1553; 8250]; [2857; 3672]; [426; 632]; [2421; 10689]; [6989; 10660]; [8758; 8885]; [736; 9159]; [5371; 6188]; [677; 7798]; [2322; 3513]; [4870; 5640]; [3774; 6003]; [4591; 6225]; [3679; 9149]; [761; 3739]; [2383; 11336]; [3536; 7343]; [4797; 6101]; [1008; 10786]; [1122; 1274]; [6827; 8797]; [1498; 3251]; [5331; 10172]; [3583; 6408]; [451; 8394]; [744; 5263]; [6972; 9151]; [152; 1187]; [2992; 9350]; [6192; 11440]; [343; 10554]; [8275; 11518]; [147; 4226]; [5573; 6672]; [6027; 10814]; [5450; 7770]; [245; 10396]; [3781; 6019]; [2170; 9134]; [7555; 11579]; [9761; 9805]; [3412; 10848]; [5788; 7765]; [4028; 6650]; [1571; 8051]; [1820; 4591]; [868; 6588]; [9101; 10698]; [290; 6382]; [2719; 2933]; [6457; 9994]; [827; 9970]; [1008; 6598]; [5435; 7088]; [5928; 10404]; [7043; 10091]; [1840; 9380]; [1439; 2620]; [6829; 8819]; [5394; 9716]; [9198; 10981]; [312; 1418]; [509; 8348]; [352; 8364]; [252; 10412]; [7101; 10446]; [7130; 8932]; [7682; 9445]; [5600; 6559]; [5199; 6215]; [32; 5161]; [8244; 11400]; [1176; 9750]; [5066; 6625]; [6473; 10096]; [8400; 8907]; [212; 3816]; [3081; 4803]; [3451; 3582]; [2823; 6265]; [2769; 9412]; [7117; 11329]; [1174; 6644]; [8701; 9774]; [481; 9309]; [2101; 9663]; [8634; 11181]; [2660; 11347]; [3648; 9007]; [8009; 11129]; [1202; 8288]; [3083; 7508]; [3050; 5116]; [5052; 5764]; [9152; 9831]; [5115; 10250]; [2372; 11065]; [3619; 4455]; [6912; 8988]; [3385; 4059]; [250; 3118]; [10575; 10802]; [370; 7384]; [7277; 10806]; [90; 8498]; [5601; 7110]; [871; 9063]; [5835; 9034]; [10881; 11259]; [743; 9817]; [3472; 3654]; [1359; 5619]; [8363; 8974]; [2735; 3361]; [1417; 9007]; [1045; 7149]; [4472; 8464]; [6024; 8152]; [5435; 8511]; [2505; 3838]; [4256; 7119]; [1290; 6953]; [204; 5752]; [3072; 9547]; [2375; 7929]; [1592; 10701]; [6105; 6801]; [8562; 8810]; [2223; 8289]; [6982; 7074]; [46; 7795]; [2907; 4003]; [3277; 3536]; [355; 9304]; [5665; 9912]; [6816; 9256]; [7287; 11093]; [5912; 9789]; [2493; 9089]; [306; 5655]; [3549; 4409]; [5815; 9856]; [5641; 8737]; [2685; 9259]; [5909; 9491]; [442; 8899]; [898; 8950]; [10493; 11096]; [1272; 8602]; [830; 1087]; [6153; 6818]; [179; 6984]; [637; 1446]; [5179; 6612]; [3604; 5220]; [3542; 7752]; [6465; 7844]; [2938; 8577]; [1293; 6446]; [3877; 10482]; [797; 8494]; [319; 6240]; [6151; 9374]; [117; 2319]; [5189; 10683]; [6082; 11489]; [9356; 9556]; [1063; 6923]; [2749; 3393]; [825; 7509]; [9634; 10998]; [830; 7853]; [7015; 8661]; [3837; 10302]; [843; 8088]; [4712; 7496]; [1966; 5384]; [6630; 11479]; [3268; 11313]; [1036; 11112]; [3832; 6925]; [341; 3905]; [4208; 9656]; [2825; 4327]; [2458; 9229]; [1993; 10590]; [3351; 3619]; [3918; 9328]; [3661; 7982]; [2391; 4220]; [708; 5769]; [2160; 8259]; [1487; 5507]; [7987; 11049]; [738; 7863]; [7675; 9242]; [5146; 9831]; [1448; 2546]; [6960; 10428]; [334; 6467]; [594; 944]; [4530; 4580]; [2976; 7475]; [3747; 7352]; [2842; 5031]; [2348; 7906]; [6480; 10730]; [3555; 4149]; [2966; 10170]; [561; 1935]; [6254; 7943]; [4516; 9785]; [5584; 9626]; [223; 5323]; [4861; 6033]; [10859; 11179]; [1375; 7521]; [3079; 4570]; [7184; 8981]; [3476; 8178]; [2954; 9005]; [2305; 10811]; [306; 7428]; [1140; 6873]; [6737; 10921]; [2661; 11412]; [4104; 4714]; [148; 9471]; [334; 2279]; [5179; 11418]; [6519; 8749]; [605; 6714]; [1890; 9256]; [4304; 10437]; [3127; 3456]; [6239; 9863]; [4116; 4724]; [2008; 7033]; [3209; 5740]; [3525; 9918]; [9540; 10507]; [2534; 6325]; [9939; 10024]; [4404; 4602]; [5459; 10654]; [3399; 5083]; [7819; 8566]; [1747; 5945]; [7419; 11076]; [2022; 7870]; [1686; 7921]; [58; 2007]; [6101; 10279]; [655; 9810]; [1178; 5421]; [2267; 10303]; [6439; 10274]; [2136; 5124]; [2006; 9215]; [9521; 11554]; [393; 11503]; [2943; 10293]; [4252; 10223]; [4004; 5957]; [3161; 5268]; [1669; 9795]; [3319; 5854]; [5142; 10731]; [1343; 3394]; [1447; 7881]; [819; 4148]; [6600; 10757]; [1097; 9754]; [3277; 9765]; [2809; 7445]; [6513; 11512]; [2905; 7153]; [1683; 9851]; [4243; 8575]; [7311; 9048]; [5351; 11255]; [2677; 10709]; [4607; 7539]; [257; 8959]; [713; 9764]; [1838; 10139]; [8558; 11483]; [5853; 9372]; [3797; 5455]; [4108; 9289]; [3206; 11403]; [923; 4097]; [6370; 10830]; [840; 2342]; [5597; 8628]; [3317; 11419]; [10; 4544]; [3466; 4345]; [3744; 10705]; [1416; 4380]; [4492; 8124]; [9001; 10898]; [9725; 10929]; [3459; 4305]; [1963; 7932]; [967; 3241]; [5302; 10558]; [2799; 5952]; [969; 9703]; [5914; 9624]; [7909; 9101]; [4048; 5050]; [997; 2302]; [2959; 9967]; [2049; 7302]; [8148; 8336]; [2040; 3052]; [6372; 6688]; [8235; 10964]; [5054; 6672]; [1785; 2533]; [107; 3672]; [1659; 3360]; [8706; 10549]; [4246; 7667]; [2169; 2873]; [8770; 11473]; [7364; 8604]; [2572; 9679]; [3369; 3607]; [5024; 7180]; [10163; 10350]; [6364; 9429]; [4464; 6025]; [1227; 10469]; [4116; 8725]; [5167; 10117]; [2493; 10325]; [2216; 5321]; [4924; 6949]; [9784; 10704]; [3862; 4644]; [10427; 10581]; [7373; 8316]; [5733; 5775]; [532; 6645]; [3584; 5831]; [206; 6660]; [6384; 10431]; [7991; 10580]; [3380; 7529]; [6284; 6817]; [3949; 9901]; [1571; 9905]; [4387; 7094]; [3532; 4136]; [5495; 5610]; [4598; 7314]; [3574; 7745]; [8054; 11279]; [2667; 8761]; [354; 2744]; [1880; 8381]; [1575; 3581]; [1503; 2015]; [687; 2395]; [542; 6178]; [6209; 10965]; [2813; 5553]; [4953; 7663]; [1541; 1718]; [2214; 4470]; [2631; 9454]; [1091; 4141]; [2933; 6786]; [8833; 10643]; [6760; 8974]; [622; 7985]; [7833; 8435]; [4170; 5123]; [5185; 6858]; [150; 8175]; [705; 6707]; [2518; 10866]; [3093; 6667]; [2227; 7684]; [2504; 6272]; [1609; 8803]; [3290; 7181]; [4372; 10892]; [825; 1524]; [1907; 5235]; [2712; 3942]; [1407; 10547]; [1212; 7827]; [3059; 10816]; [5115; 9071]; [2497; 8834]; [7401; 8754]; [2702; 5856]; [3581; 6956]; [2852; 5800]; [2766; 4528]; [4466; 7120]; [4529; 10852]; [4410; 9440]; [356; 11410]; [5089; 9728]; [6646; 9760]; [9879; 11209]; [7767; 9612]; [3587; 8999]; [1135; 11498]; [2723; 7433]; [5235; 9149]; [3672; 8548]; [6440; 10981]; [4451; 8286]; [7474; 9740]; [2302; 8342]; [8; 7263]; [1333; 8480]; [2585; 3712]; [437; 6622]; [8682; 8837]; [4976; 8107]; [714; 5210]; [1920; 11431]; [2926; 7388]; [4937; 11562]; [918; 2761]; [4756; 9272]; [295; 3536]; [7464; 8648]; [1141; 8660]; [5999; 11588]; [4184; 5848]; [1357; 9224]; [9328; 9362]; [6484; 10879]; [5061; 6875]; [8258; 9448]; [1540; 11560]; [4965; 9796]; [6582; 10633]; [228; 8326]; [3673; 4585]; [572; 1720]; [4892; 8005]; [902; 7489]; [6318; 8493]; [4301; 10920]; [3924; 8718]; [4385; 9113]; [1245; 1412]; [1396; 11407]; [7025; 7796]; [9079; 10886]; [6310; 11234]; [1203; 10985]; [2268; 4893]; [6203; 10613]; [2844; 3548]; [6892; 11589]; [2346; 8933]; [2442; 9395]; [2967; 5833]; [7328; 7955]; [3066; 9222]; [2241; 8358]; [186; 7295]; [2314; 7116]; [278; 10267]; [2609; 3277]; [2741; 9812]; [10053; 11068]; [2975; 5320]; [1051; 10190]; [3014; 4494]; [7686; 8952]; [1048; 9138]; [5227; 10280]; [2759; 7358]; [4089; 8165]; [7079; 9479]; [329; 756]; [4146; 7918]; [792; 5361]; [7005; 7463]; [5482; 6261]; [1318; 4653]; [3204; 4217]; [5951; 11435]; [7561; 8849]; [9868; 10133]; [4773; 11399]; [118; 2414]; [1468; 5351]; [7622; 10256]; [4667; 7216]; [3679; 9556]; [3079; 5619]; [4226; 9725]; [4386; 5476]; [4688; 5060]; [7396; 7442]; [9199; 10913]; [6439; 9095]; [3600; 10202]; [4323; 4373]; [5477; 9650]; [6256; 9388]; [1015; 5941]; [10070; 11371]; [9515; 9806]; [6862; 7885]; [8135; 11164]; [2595; 5398]; [790; 4510]; [5022; 10948]; [2804; 8955]; [6890; 9152]; [7540; 10200]; [4028; 7057]; [1158; 6599]; [3747; 10979]; [2185; 3433]; [9490; 10688]; [2026; 4874]; [1647; 6009]; [7034; 9281]; [6562; 9471]; [6441; 11396]; [2864; 2940]; [2673; 6378]; [6162; 6319]; [1948; 6122]; [740; 3992]; [4480; 9968]; [5631; 9312]; [4750; 11549]; [3167; 10296]; [930; 10505]; [240; 9304]; [6781; 11437]; [3099; 11101]; [11; 3590]; [2414; 10998]; [1696; 8503]; [1474; 3206]; [1818; 7934]; [3156; 8602]; [1069; 5372]; [4775; 10266]; [6857; 8988]; [4959; 6411]; [4907; 6221]; [1949; 10080]; [813; 4628]; [2155; 3540]; [2466; 11538]; [1530; 7652]; [9310; 11228]; [2058; 3607]; [2617; 5291]; [906; 10454]; [968; 5670]; [3270; 6610]; [2544; 9916]; [8156; 10832]; [273; 4125]; [3768; 8018]; [1428; 6594]; [4798; 11539]; [1209; 11394]; [4824; 10508]; [1020; 2827]; [1606; 8586]; [2662; 4660]; [327; 7744]; [5898; 6407]; [144; 2375]; [5837; 8383]; [1411; 5085]; [3441; 7781]; [2909; 7920]; [1541; 4377]; [385; 2437]; [4844; 7346]; [4612; 7777]; [1480; 10517]; [2502; 2843]; [3527; 10184]; [4301; 9578]; [7516; 10448]; [3686; 7962]; [2987; 3265]; [4356; 6252]; [8158; 10854]; [935; 8889]; [742; 8494]; [2263; 2453]; [2395; 8988]; [284; 1200]; [4134; 4338]; [6348; 9595]; [7905; 9627]; [2673; 4768]; [2953; 7037]; [3385; 6694]; [2638; 5713]; [484; 507]; [9709; 10290]; [8248; 9966]; [3004; 7002]; [4867; 11278]; [447; 1379]; [2874; 11093]; [5152; 7475]; [5026; 9056]; [2725; 10970]; [6734; 9257]; [764; 10296]; [4269; 10016]; [563; 5876]; [3799; 7623]; [6137; 8220]; [7699; 9350]; [2497; 11493]; [5102; 9990]; [6315; 10212]; [9224; 9844]; [346; 10722]; [5604; 11140]; [2314; 6124]; [3577; 5709]; [2983; 4970]; [2053; 5036]; [5382; 9226]; [5946; 11254]; [5375; 8055]; [4002; 8332]; [454; 11194]; [3129; 8178]; [3409; 10447]; [5367; 11577]; [401; 10779]; [4914; 11043]; [1765; 4754]; [139; 6837]; [691; 934]; [3063; 6777]; [1504; 5918]; [5246; 10469]; [7768; 9463]; [2902; 11555]; [918; 9958]; [2819; 3384]; [8417; 11040]; [4857; 5971]; [2095; 6736]; [1554; 5631]; [582; 6252]; [6717; 6943]; [1765; 3599]; [4641; 11419]; [4013; 7686]; [2985; 10627]; [1230; 9856]; [645; 6951]; [6801; 8519]; [2974; 10468]; [4661; 5628]; [1982; 8902]; [2653; 4411]; [4994; 10941]; [4717; 5937]; [8643; 8885]; [209; 355]; [6525; 10506]; [4992; 8616]; [2168; 10755]; [6394; 7579]; [35; 11344]; [9470; 11323]; [509; 10446]; [6703; 8334]; [2436; 2841]; [162; 9584]; [8534; 10820]; [228; 11335]; [6596; 11096]; [2654; 7615]; [1310; 8630]; [6444; 10675]; [7397; 9280]; [7278; 7868]; [4439; 8975]; [2072; 11023]; [16; 2942]; [642; 5848]; [4224; 8232]; [9224; 10112]; [10010; 11021]; [3216; 5032]; [4907; 8262]; [2158; 9262]; [441; 4811]; [6736; 9921]; [5580; 7981]; [2037; 11187]; [1003; 10176]; [9165; 9882]; [2808; 4648]; [476; 7249]; [9808; 10513]; [4615; 10490]; [8662; 9261]; [5083; 10558]; [7437; 7524]; [7906; 10446]; [1521; 8826]; [835; 4334]; [8897; 11006]; [2431; 4294]; [7426; 9994]; [1553; 4550]; [1336; 6013]; [8681; 9661]; [2322; 2846]; [5040; 10080]; [176; 8835]; [1575; 8281]; [1446; 3175]; [3065; 10474]; [3528; 5280]; [2917; 8324]; [7796; 11375]; [4742; 9110]; [5769; 6698]; [732; 11352]; [161; 8153]; [725; 10181]; [5823; 6180]; [2753; 9798]; [3095; 9535]; [9404; 11345]; [2892; 8452]; [593; 7029]; [3329; 8453]; [3435; 9603]; [7105; 8424]; [6847; 9886]; [3865; 9187]; [164; 8801]; [6501; 9249]; [1308; 6974]; [2636; 7708]; [11101; 11387]; [3267; 4542]; [7970; 10565]; [6867; 7505]; [10454; 10987]; [1452; 2939]; [5722; 9861]; [2446; 10967]; [5314; 8346]; [2451; 4895]; [4281; 6025]; [960; 5860]; [325; 11536]; [4277; 7037]; [1166; 3484]; [2351; 4664]; [1095; 4772]; [167; 7163]; [2500; 7416]; [3649; 6687]; [6264; 9255]; [5292; 9122]; [3466; 3947]; [2151; 9864]; [5998; 7069]; [523; 8868]; [488; 5649]; [866; 9207]; [2263; 7072]; [10972; 11111]; [1085; 7036]; [6054; 7351]; [1264; 2837]; [5281; 11565]; [758; 4197]; [47; 2873]; [766; 1806]; [3309; 5841]; [661; 4264]; [3372; 10327]; [1130; 9438]; [1704; 5738]; [6607; 7685]; [2321; 5148]; [2120; 7144]; [7474; 8024]; [2123; 4409]; [1467; 2792]; [2313; 10922]; [61; 2929]; [7980; 9293]; [5172; 10467]; [1738; 7981]; [465; 538]; [5196; 8609]; [1190; 9839]; [2026; 10111]; [7129; 7208]; [1559; 9147]; [1855; 5533]; [3238; 4446]; [6467; 11438]; [7336; 7686]; [9514; 11034]; [4507; 7983]; [6587; 10042]; [1702; 2258]; [671; 7180]; [1416; 1672]; [6641; 10278]; [679; 5543]; [6527; 9210]; [2749; 6914]; [1317; 5076]; [1906; 2438]; [238; 4265]; [389; 10850]; [4706; 7038]; [3126; 9466]; [3016; 4410]; [9717; 10962]; [4892; 6639]; [65; 8659]; [6290; 6614]; [4855; 7511]; [128; 6729]; [3077; 5036]; [2669; 9937]; [3442; 3471]; [5255; 8384]; [1889; 9974]; [4537; 5135]; [996; 2752]; [1793; 3850]; [1452; 3557]; [4939; 9087]; [832; 1597]; [2070; 5821]; [1509; 7474]; [7919; 10090]; [2409; 8670]; [6979; 9468]; [7861; 10085]; [4241; 11381]; [5552; 7974]; [7854; 8914]; [8470; 11132]; [1820; 1859]; [2369; 2855]; [8072; 10305]; [3184; 8666]; [176; 8998]; [3519; 11396]; [1566; 4194]; [4828; 7162]; [7166; 7759]; [2022; 2747]; [2842; 8902]; [5261; 10427]; [442; 1011]; [2114; 4965]; [1348; 6186]; [7781; 10506]; [2805; 9020]; [8180; 10777]; [1440; 9158]; [5480; 6758]; [2610; 8552]; [2452; 4960]; [10309; 10446]; [5385; 9904]; [3509; 10304]; [4331; 7460]; [3818; 5397]; [1514; 3630]; [707; 1844]; [4410; 8692]; [850; 7787]; [9628; 9711]; [4251; 7881]; [4373; 6558]; [10221; 10225]; [6274; 7154]; [390; 3830]; [3311; 6505]; [1473; 10395]; [3782; 6090]; [5642; 5931]; [5373; 11368]; [1913; 4251]; [786; 7213]; [2587; 9857]; [6728; 10515]; [816; 8553]; [2924; 6244]; [5415; 10089]; [2994; 7737]; [3677; 11177]; [10618; 10800]; [2689; 7101]; [5380; 11034]; [5424; 11306]; [7507; 10630]; [6975; 11523]; [839; 6443]; [5666; 7806]; [7686; 9814]; [804; 972]; [4821; 9700]; [3534; 11249]; [6834; 10537]; [1920; 10683]; [1245; 11268]; [1109; 11407]; [2470; 8117]; [3187; 4725]; [5025; 10634]; [1601; 8836]; [1539; 7958]; [4366; 4582]; [5897; 6399]; [5952; 10270]; [351; 8732]; [2877; 2964]; [6147; 9957]; [512; 7337]; [249; 8455]; [1940; 5269]; [2119; 7486]; [2526; 4612]; [3651; 9151]; [650; 5766]; [10388; 10472]; [405; 5935]; [403; 2856]; [6323; 8843]; [5160; 5732]; [8712; 9405]; [616; 7286]; [5251; 8479]; [6710; 7976]; [7264; 9316]; [3504; 7569]; [2102; 2190]; [7492; 11395]; [646; 2964]; [4811; 7426]; [4780; 5861]; [2745; 2821]; [883; 8569]; [8200; 10169]; [2159; 8359]; [9263; 9666]; [3124; 5069]; [2840; 5310]; [1067; 7343]; [855; 9904]; [4169; 6646]; [8258; 11278]; [9321; 10021]; [3246; 7129]; [4605; 9428]; [2427; 4582]; [4166; 6348]; [1846; 10464]; [2304; 5680]; [6342; 8869]; [4014; 6708]; [3580; 9634]; [2860; 6312]; [9580; 10662]; [3790; 10383]; [2730; 11157]; [7905; 9066]; [1355; 9853]; [4164; 5871]; [8854; 10935]; [1693; 9848]; [941; 1353]; [164; 8077]; [1313; 6594]; [9352; 11562]; [7855; 11581]; [1217; 10269]; [7139; 9913]; [7507; 7865]; [6328; 11391]; [6919; 11078]; [4985; 8844]; [2741; 11292]; [3386; 8586]; [2090; 10019]; [7343; 10093]; [7615; 8337]; [6448; 8460]; [3513; 7607]; [6632; 11021]; [1703; 2965]; [2055; 7554]; [3884; 5830]; [2141; 6574]; [1774; 5060]; [4594; 7683]; [4432; 6601]; [6739; 7885]; [6897; 9225]; [483; 2703]; [3411; 6549]; [3593; 6031]; [4935; 4943]; [1478; 7169]; [3586; 8243]; [348; 3417]; [7269; 11433]; [1228; 9623]; [478; 9125]; [6045; 10298]; [9071; 11269]; [537; 9705]; [9943; 11198]; [8720; 10288]; [9305; 10941]; [6693; 11273]; [2128; 8567]; [3076; 9834]; [2241; 6000]; [1401; 8238]; [2526; 8613]; [3046; 4707]; [5294; 8794]; [3484; 8316]; [1237; 7083]; [9702; 10762]; [2200; 9382]; [1362; 1867]; [1582; 4085]; [10329; 10860]; [3066; 8742]; [547; 5855]; [2073; 10738]; [141; 4413]; [4447; 6828]; [4010; 10991]; [1240; 3567]; [3980; 8116]; [5434; 11433]; [3782; 8131]; [4064; 11227]; [5580; 11258]; [1755; 9116]; [4072; 11088]; [3536; 4692]; [8268; 9201]; [4829; 6371]; [6458; 8723]; [6197; 9133]; [6945; 7306]; [1902; 8762]; [2373; 8347]; [5886; 8682]; [7386; 8180]; [4943; 10041]; [5134; 7357]; [311; 6113]; [4361; 10817]; [4726; 5088]; [5512; 5997]; [4137; 5447]; [5159; 8353]; [7908; 10736]; [3205; 8096]; [488; 10886]; [3413; 8799]; [4070; 6854]; [5224; 6469]; [1516; 4912]; [3202; 7798]; [10297; 10517]; [1851; 11052]; [5187; 6587]; [8177; 11311]; [2764; 7572]; [4968; 4971]; [200; 4188]; [1232; 2120]; [3625; 8840]; [666; 3429]; [3960; 9318]; [10353; 10799]; [1250; 6863]; [699; 9204]; [3407; 4416]; [2280; 10384]; [4924; 8055]; [6264; 10304]; [8308; 10454]; [2771; 10621]; [3490; 9554]; [7683; 10402]; [6485; 8960]; [2420; 3224]; [9675; 10362]; [1469; 1659]; [814; 10066]; [591; 10960]; [2133; 6550]; [10696; 10764]; [4008; 5171]; [670; 3147]; [1363; 7275]; [3255; 10037]; [8268; 10624]; [7050; 7052]; [9505; 11240]; [2569; 10463]; [4983; 5228]; [5963; 9386]; [6173; 10162]; [1507; 3240]; [385; 7300]; [1593; 9430]; [2403; 8481]; [8230; 11271]; [2311; 8892]; [1122; 6812]; [2930; 10627]; [8790; 9393]; [1529; 11108]; [810; 5005]; [5108; 7559]; [2869; 6187]; [4077; 6065]; [3825; 11479]; [6404; 8755]; [4795; 5527]; [6916; 10593]; [1744; 2779]; [5464; 7379]; [2332; 3703]; [11113; 11560]; [1416; 2721]; [2285; 3133]; [237; 5493]; [330; 1520]; [8485; 10635]; [6049; 7251]; [553; 7419]; [5754; 7303]; [2659; 5037]; [4056; 7066]; [7891; 10650]; [19; 1069]; [3682; 5135]; [2190; 9662]; [6431; 6764]; [6863; 7175]; [4185; 9139]; [606; 10436]; [3433; 7060]; [749; 3574]; [6411; 8771]; [7911; 8269]; [3026; 6901]; [3581; 4679]; [8183; 9896]; [2995; 7965]; [4612; 8802]; [6410; 7765]; [3863; 6994]; [2464; 7548]; [5126; 6579]; [7094; 8397]; [376; 11263]; [2618; 4982]; [1871; 10417]; [2084; 11464]; [1425; 10330]; [1475; 3277]; [3594; 10926]; [6035; 8992]; [1163; 1470]; [2446; 9601]; [2234; 11408]; [4658; 5363]; [7082; 7232]; [2794; 10284]; [8067; 11010]; [482; 11285]; [5052; 7919]; [4733; 9105]; [3112; 11532]; [1; 7979]; [6537; 9768]; [3607; 5095]; [2244; 5306]; [1903; 11429]; [7073; 9748]; [4138; 4731]; [9086; 10585]; [4146; 8756]; [9151; 9482]; [7056; 11272]; [1493; 10218]; [7341; 7469]; [4277; 4516]; [1051; 6840]; [7260; 11452]; [2690; 4992]; [608; 6270]; [978; 5049]; [8018; 10313]; [195; 3657]; [7734; 10554]; [2029; 3031]; [547; 1830]; [3709; 5348]; [3586; 6446]; [848; 8359]; [1126; 1133]; [1222; 8011]; [6253; 9204]; [2896; 9382]; [2169; 2637]; [4763; 7361]; [8739; 9672]; [1115; 6609]; [7658; 8815]; [10798; 10854]; [462; 2257]; [7800; 11150]; [3566; 4639]; [9670; 10181]; [3002; 5240]; [1952; 10866]; [3934; 5974]; [5124; 10908]; [2933; 10738]; [8418; 10381]; [6448; 7736]; [3745; 6452]; [1071; 10070]; [787; 3895]; [4460; 8649]; [6135; 6458]; [3417; 4142]; [524; 1980]; [183; 1687]; [2151; 3505]; [2077; 5276]; [1431; 10763]; [4762; 9364]; [3048; 5184]; [863; 4829]; [6310; 8152]; [775; 2730]; [7492; 9061]; [3822; 8742]; [8298; 10622]; [1698; 5630]; [5273; 6843]; [419; 4788]; [3820; 11298]; [2409; 3921]; [5220; 7182]; [3069; 6411]; [4063; 7269]; [3067; 3332]; [37; 1461]; [1064; 4711]; [2034; 8181]; [5153; 9343]; [1445; 7786]; [8040; 10182]; [411; 6775]; [221; 235]; [1662; 9706]; [2735; 9167]; [4349; 9733]; [3770; 10780]; [18; 3289]; [300; 2221]; [4320; 8214]; [428; 11266]; [11035; 11466]; [3485; 4380]; [3781; 7182]; [1399; 11174]; [9040; 11208]; [4907; 11165]; [5406; 5628]; [5333; 6843]; [4211; 10149]; [510; 5599]; [2103; 6042]; [1005; 3326]; [6801; 10967]; [9072; 10342]; [3437; 3558]; [11176; 11297]; [2595; 9887]; [8374; 8499]; [6600; 10684]; [3122; 5617]; [2955; 7197]; [1583; 5410]; [3988; 7983]; [5786; 11110]; [3458; 4785]; [4239; 5350]; [8005; 10295]; [273; 3003]; [501; 11498]; [8249; 10655]; [3603; 10801]; [7658; 9433]; [5036; 9077]; [6801; 9812]; [188; 10220]; [1104; 6314]; [574; 3116]; [5805; 11510]; [521; 3455]; [7045; 9391]; [1195; 9061]; [2124; 6114]; [4429; 10735]; [322; 5497]; [5642; 6793]; [3842; 7003]; [379; 6031]; [4991; 5520]; [4277; 4679]; [1448; 6474]; [4034; 7173]; [3748; 10751]; [7693; 11497]; [5487; 6855]; [3675; 5550]; [2491; 7978]; [210; 1499]; [6813; 10172]; [2515; 6120]; [8194; 8258]; [2583; 10950]; [3302; 9883]; [147; 396]; [3261; 3466]; [4291; 11151]; [7620; 8925]; [6408; 9305]; [8024; 10671]; [3103; 8892]; [5214; 10264]; [5993; 10002]; [5807; 11532]; [912; 8722]; [4403; 5326]; [757; 5401]; [8286; 10856]; [10622; 11380]; [164; 7516]; [2282; 5895]; [8448; 8905]; [3338; 8385]; [661; 1906]; [1226; 7542]; [7139; 9352]; [66; 3948]; [9305; 11185]; [3856; 7035]; [4800; 9284]; [9703; 11231]; [620; 2255]; [1585; 4627]; [2022; 5382]; [5628; 8160]; [6849; 8997]; [7178; 7775]; [4660; 11152]; [740; 9904]; [11016; 11253]; [5741; 8976]; [2456; 10720]; [3031; 6521]; [2870; 9047]; [4181; 5640]; [6667; 9141]; [550; 6747]; [6171; 11189]; [6078; 8746]; [4457; 4757]; [721; 7568]; [9012; 10128]; [2071; 10505]; [1058; 11125]; [4172; 7025]; [5395; 8689]; [192; 7978]; [3050; 4669]; [4426; 8827]; [3362; 4941]; [3026; 9910]; [2365; 7195]; [2112; 9755]; [713; 10309]; [6434; 8916]; [5431; 10224]; [3256; 4895]; [3295; 10485]; [6003; 9861]; [1073; 4586]; [4682; 9547]; [7; 11207]; [2505; 3391]; [2775; 11388]; [874; 4376]; [6484; 9383]; [2590; 8602]; [319; 3565]; [3253; 10609]; [2780; 8699]; [244; 947]; [1212; 7754]; [4233; 7627]; [1864; 5465]; [2646; 8884]; [6562; 10390]; [1359; 10433]; [8996; 11449]; [5905; 11554]; [2075; 2652]; [681; 3550]; [4320; 7222]; [3855; 11589]; [2754; 9356]; [2105; 11162]; [5880; 7525]; [3230; 9285]; [1205; 6933]; [2321; 3058]; [198; 4335]; [5301; 7094]; [1892; 7082]; [1138; 8340]; [5157; 7315]; [10559; 10895]; [4559; 9840]; [9031; 9349]; [1034; 1574]; [4115; 5662]; [4863; 10251]; [8223; 10344]; [3249; 3269]; [1864; 7693]; [5795; 10985]; [8196; 8898]; [2487; 10301]; [7122; 11494]; [8829; 8841]; [7029; 9051]; [5129; 11309]; [5476; 9138]; [5748; 7382]; [82; 5449]; [1276; 1457]; [714; 11553]; [7710; 8631]; [6366; 9646]; [4219; 8994]; [3555; 9768]; [4305; 11020]; [1786; 5127]; [2373; 2443]; [8699; 9118]; [4241; 7063]; [10728; 11589]; [5773; 8728]; [1346; 8238]; [6046; 10580]; [5731; 9256]; [2460; 4290]; [1990; 5307]; [3891; 5903]; [1192; 11154]; [1536; 10964]; [4397; 7172]; [1749; 5595]; [2838; 4061]; [7214; 7245]; [7052; 8415]; [7716; 8395]; [2330; 8731]; [3942; 8470]; [9821; 11450]; [9480; 11157]; [10229; 10686]; [2221; 10666]; [9903; 10701]; [5956; 7630]; [8762; 9793]; [3179; 3199]; [2277; 10975]; [1666; 2685]; [8510; 8791]; [313; 5866]; [1242; 6329]; [6417; 11408]; [1374; 8700]; [1899; 5138]; [1532; 10040]; [6456; 11336]; [9061; 9833]; [3457; 8778]; [1373; 9229]; [3572; 6284]; [96; 4296]; [5541; 10956]; [211; 8972]; [6258; 7564]; [1614; 2121]; [3536; 6977]; [1789; 10231]; [87; 7566]; [5679; 7106]; [2910; 7454]; [8851; 11312]; [2481; 4308]; [1600; 6545]; [3928; 6454]; [5619; 9684]; [6950; 7683]; [4178; 10766]; [4209; 5915]; [811; 3086]; [5289; 6547]; [3678; 9662]; [3826; 9560]; [2336; 4334]; [2675; 3800]; [3055; 4021]; [71; 8911]; [1866; 1941]; [5606; 5665]; [2796; 5258]; [2587; 11500]; [8156; 9336]; [5470; 11439]; [3851; 8277]; [678; 3846]; [1706; 10704]; [6580; 7749]; [7700; 7780]; [3254; 7240]; [3627; 5536]; [2479; 10627]; [2854; 9750]; [4212; 5408]; [1409; 6926]; [248; 478]; [4112; 8210]; [3721; 8554]; [70; 8285]; [6859; 7514]; [1064; 9143]; [2426; 8707]; [1753; 3703]; [2589; 3975]; [3826; 8755]; [2742; 4971]; [3027; 7584]; [2955; 6018]; [6263; 9331]; [1115; 9081]; [2651; 8236]; [492; 3440]; [1643; 2784]; [6961; 9669]; [3767; 10777]; [6529; 7760]; [679; 3266]; [9015; 10507]; [28; 8409]; [2447; 9934]; [4412; 5819]; [186; 8995]; [805; 5068]; [6467; 9511]; [3714; 10392]; [3667; 10546]; [3440; 11321]; [5499; 6841]; [4595; 11538]; [101; 9826]; [937; 10098]; [2067; 10817]; [1969; 7276]; [1372; 2856]; [1654; 1788]; [286; 8825]; [2590; 3422]; [72; 7553]; [5450; 8827]; [1649; 11243]; [5978; 8946]; [1396; 4381]; [6598; 7873]; [1737; 3893]; [7276; 7936]; [1837; 5228]; [899; 11095]; [1546; 8462]; [5336; 7385]; [1824; 3488]; [7949; 9907]; [8988; 9010]; [12; 2183]; [2226; 7440]; [1949; 2436]; [453; 9473]; [3128; 9463]; [1481; 9915]; [5392; 11077]; [2811; 7312]; [1901; 8811]; [2651; 2893]; [6083; 8716]; [816; 10464]; [3711; 6256]; [8819; 9359]; [2235; 4900]; [2526; 10711]; [991; 5742]; [440; 8837]; [7346; 10903]; [3177; 8951]; [2893; 9192]; [2361; 10085]; [7435; 7942]; [3066; 10840]; [143; 922]; [4074; 4214]; [522; 9586]; [5489; 6822]; [7761; 9805]; [1943; 7478]; [195; 3714]; [1695; 3966]; [7646; 8512]; [8945; 10760]; [3649; 7606]; [8108; 10263]; [5959; 6155]; [3213; 7453]; [4522; 10389]; [3715; 8603]; [1782; 9223]; [7410; 8420]; [7162; 11324]; [3081; 11471]; [469; 3135]; [6157; 8799]; [529; 3186]; [5978; 7336]; [7440; 10514]; [1461; 10336]; [3546; 6323]; [86; 2616]; [1209; 6328]; [2301; 10727]; [1393; 2473]; [434; 9715]; [1735; 5620]; [9866; 10177]; [10666; 10792]; [5969; 6469]; [1459; 4224]; [4598; 8290]; [7836; 10864]; [4058; 4404]; [1047; 5219]; [2789; 4250]; [506; 8278]; [2539; 4075]; [2157; 7945]; [2162; 8289]; [5209; 7131]; [1718; 4111]; [1869; 4280]; [1129; 4470]; [9783; 10300]; [3470; 4584]; [1472; 4055]; [6079; 10370]; [1808; 9639]; [10423; 10633]; [2584; 9860]; [87; 2036]; [6043; 6926]; [1841; 8998]; [4136; 6515]; [925; 5764]; [5001; 5273]; [416; 1164]; [914; 11240]; [3942; 5868]; [3319; 6643]; [3191; 7397]; [1327; 10066]; [9257; 10203]; [422; 1329]; [128; 882]; [7008; 8897]; [819; 4937]; [595; 9393]; [4738; 10124]; [127; 7827]; [6013; 7814]; [3706; 6530]; [8468; 8996]; [1775; 3059]; [7855; 10459]; [6821; 10202]; [5042; 11289]; [2559; 7305]; [5164; 5802]; [3584; 8230]; [3799; 5940]; [86; 4039]; [3896; 9256]; [2396; 3342]; [5999; 6603]; [1771; 3290]; [1869; 3825]; [4966; 9200]; [5902; 6670]; [554; 9742]; [9047; 9053]; [6531; 9093]; [2897; 10683]; [7931; 9141]; [273; 832]; [553; 9517]; [1396; 10960]; [217; 10322]; [3725; 3897]; [2410; 2644]; [3913; 6577]; [8846; 11399]; [6977; 9560]; [385; 2177]; [7260; 9094]; [1527; 5939]; [4281; 7912]; [2658; 7260]; [347; 10738]; [3836; 11433]; [2368; 9938]; [6074; 7662]; [8159; 10819]; [2894; 9230]; [4630; 11479]; [2825; 11345]; [435; 8306]; [831; 7525]; [2825; 8312]; [1359; 7644]; [2068; 5889]; [7298; 10675]; [4094; 11095]; [1614; 11546]; [1193; 5662]; [733; 7367]; [7821; 9669]; [971; 3748]; [1041; 8651]; [666; 3112]; [2875; 8025]; [6611; 10095]; [8696; 10246]; [6036; 7154]; [291; 956]; [2159; 4822]; [3248; 9704]; [9344; 11221]; [844; 4323]; [1370; 3615]; [9742; 11267]; [4924; 11121]; [3018; 3765]; [2862; 6635]; [4570; 6836]; [7066; 11025]; [2379; 8918]; [1198; 5201]; [7144; 9403]; [3498; 9478]; [7357; 10450]; [977; 2758]; [1467; 6557]; [293; 10427]; [5114; 10090]; [102; 279]; [910; 11335]; [6832; 10979]; [3585; 9073]; [750; 4637]; [2142; 2158]; [727; 9349]; [2613; 8159]; [2611; 11496]; [1874; 11203]; [3669; 4233]; [3056; 5696]; [3515; 10182]; [2261; 7707]; [4203; 7550]; [857; 1501]; [2298; 3802]; [8770; 10302]; [6347; 11287]; [4245; 6271]; [2787; 10382]; [757; 1270]; [7461; 10749]; [2201; 9504]; [7758; 9989]; [8508; 8989]; [1354; 2657]; [5082; 7118]; [2062; 3683]; [976; 8898]; [8197; 10790]; [7383; 7833]; [5084; 10574]; [4640; 9402]; [4948; 7303]; [6360; 11118]; [6143; 6919]; [6948; 11288]; [6198; 10790]; [2060; 10403]; [5420; 9742]; [995; 10079]; [6352; 10476]; [7432; 11108]; [11473; 11562]; [1516; 8246]; [549; 9211]; [3926; 11163]; [8986; 10842]; [9015; 9328]; [3256; 11368]; [4684; 9300]; [4995; 6718]; [1082; 8893]; [7052; 11237]; [1574; 2939]; [1950; 11332]; [2320; 3695]; [1477; 3006]; [2282; 7375]; [3677; 9331]; [4406; 9706]; [2958; 3982]; [845; 5947]; [5245; 7243]; [1195; 6703]; [4839; 6555]; [723; 9899]; [3684; 7469]; [2898; 3150]; [3495; 10953]; [5202; 7546]; [6795; 10241]; [1250; 4131]; [3357; 3849]; [7118; 8450]; [177; 3165]; [6195; 9687]; [6995; 9548]; [5193; 6679]; [6862; 7706]; [525; 3848]; [5347; 10529]; [827; 9848]; [82; 9694]; [6522; 11021]; [6778; 8732]; [3170; 4373]; [424; 6425]; [1885; 6749]; [2669; 6831]; [4099; 5590]; [10069; 10186]; [6333; 11499]; [705; 5886]; [7212; 8435]; [2215; 5348]; [7051; 10961]; [1155; 6122]; [3961; 8285]; [3006; 6601]; [845; 5142]; [5392; 9898]; [4559; 9897]; [1593; 9731]; [1782; 5466]; [784; 7118]; [3363; 4394]; [7041; 9492]; [1028; 1062]; [1662; 10999]; [8227; 10520]; [3301; 6899]; [3115; 3511]; [1036; 10722]; [3540; 9167]; [2136; 2961]; [5251; 6633]; [7028; 11135]; [278; 2412]; [2040; 5882]; [1761; 6467]; [3884; 5944]; [1195; 1360]; [5100; 9847]; [6937; 8738]; [6562; 6609]; [4499; 7937]; [10482; 11240]; [5646; 6381]; [1766; 4532]; [4159; 11252]; [3973; 5612]; [549; 4568]; [7240; 9678]; [908; 4686]; [1104; 2346]; [1534; 8346]; [3808; 7238]; [3283; 4384]; [4936; 11294]; [5368; 10951]; [4637; 10503]; [3398; 9060]; [7202; 10325]; [3955; 9917]; [2902; 4692]; [5605; 10140]; [2563; 5226]; [1338; 7653]; [6110; 11561]; [6982; 11490]; [1629; 7802]; [4425; 9277]; [906; 10625]; [931; 5959]; [9895; 11271]; [143; 8387]; [7090; 11208]; [4382; 9580]; [3881; 5622]; [729; 2068]; [5126; 10263]; [9207; 10116]; [2127; 7705]; [7892; 9617]; [6030; 8949]; [5933; 9016]; [195; 4763]; [8257; 11435]; [4623; 8861]; [3527; 6972]; [3057; 10995]; [1973; 10621]; [2573; 8142]; [7669; 8232]; [4995; 7686]; [4608; 10458]; [1220; 4907]; [5175; 10505]; [6348; 9416]; [154; 5112]; [152; 8449]; [224; 10769]; [6698; 10926]; [4511; 8246]; [4695; 10053]; [5409; 9396]; [4109; 9929]; [6101; 9889]; [4324; 5387]; [1333; 6854]; [2109; 2157]; [3413; 8913]; [1730; 9708]; [3502; 8204]; [1012; 7213]; [1413; 8311]; [4936; 9334]; [788; 8259]; [917; 3943]; [6668; 7677]; [228; 9733]; [2690; 8676]; [3645; 3944]; [8355; 10384]; [1564; 8076]; [944; 9122]; [1873; 9585]; [1159; 3826]; [746; 1967]; [2893; 5248]; [8620; 10840]; [1709; 2014]; [6189; 7800]; [2616; 10043]; [1955; 10334]; [6900; 10255]; [592; 11299]; [3070; 3605]; [3853; 4997]; [7837; 11333]; [6302; 8616]; [5629; 10028]; [5720; 9392]; [4309; 8431]; [4844; 5557]; [1487; 5735]; [2357; 9001]; [115; 8866]; [4370; 9838]; [13; 10087]; [6050; 7991]; [1881; 6039]; [6105; 8452]; [7662; 8484]; [3221; 8288]; [937; 7927]; [1307; 2542]; [842; 10319]; [2558; 8883]; [5112; 10044]; [6659; 9388]; [9398; 11083]; [5786; 9988]; [5559; 10763]; [7274; 7971]; [586; 6542]; [9452; 11319]; [825; 2394]; [582; 9806]; [3013; 6430]; [2624; 2713]; [1854; 6444]; [8977; 11211]; [2661; 5224]; [75; 1115]; [6344; 10666]; [763; 4899]; [947; 1044]; [2662; 8832]; [3567; 4737]; [3928; 7934]; [3685; 8930]; [3965; 11199]; [228; 4740]; [6138; 9285]; [5234; 8320]; [5517; 10106]; [8688; 11458]; [2967; 9818]; [911; 1737]; [308; 9580]; [5858; 7366]; [2393; 5567]; [5450; 5851]; [6602; 8049]; [984; 2400]; [9397; 10053]; [2979; 6795]; [1826; 4372]; [9136; 11217]; [263; 6023]; [176; 362]; [4902; 8089]; [883; 2698]; [4907; 8433]; [1282; 2215]; [5614; 10015]; [1474; 2385]; [7908; 10313]; [12; 2590]; [5944; 9368]; [4209; 9973]; [1186; 9273]; [1401; 10393]; [345; 2241]; [2734; 11471]; [2555; 10008]; [1681; 7000]; [5607; 9194]; [430; 10458]; [6846; 10637]; [9679; 11213]; [2919; 10470]; [273; 3304]; [1515; 5018]; [6308; 6797]; [2607; 7165]; [2135; 7355]; [7238; 10868]; [7430; 11038]; [391; 10880]; [10938; 11029]; [4553; 9409]; [260; 5701]; [4124; 7017]; [5402; 8388]; [1572; 5902]; [2258; 2443]; [5802; 9261]; [2723; 4465]; [1506; 10917]; [787; 4814]; [2803; 9332]; [279; 6101]; [9339; 11121]; [318; 5275]; [3404; 10461]; [7059; 7496]; [586; 10193]; [4271; 10046]; [9180; 10310]; [1828; 8874]; [1986; 9460]; [88; 2719]; [8116; 10561]; [3443; 6632]; [3164; 7217]; [1491; 2284]; [8667; 10849]; [19; 8217]; [4098; 11407]; [2880; 4425]; [502; 10845]; [1166; 3655]; [6742; 9078]; [2874; 10272]; [4393; 10574]; [3241; 4589]; [5171; 7835]; [312; 7688]; [4362; 5976]; [2925; 10210]; [6996; 9375]; [560; 10419]; [8810; 10726]; [5880; 6053]; [3767; 7264]; [5666; 11197]; [2741; 11032]; [150; 5825]; [9583; 9895]; [1682; 8244]; [5717; 7752]; [2942; 4148]; [4168; 5329]; [2941; 4677]; [10670; 10917]; [543; 2494]; [5985; 9637]; [4281; 5391]; [2280; 8351]; [2221; 11154]; [2756; 8280]; [6087; 6881]; [6149; 7759]; [9200; 9726]; [514; 10774]; [1653; 2187]; [1307; 1550]; [6697; 7749]; [6511; 11531]; [7595; 9653]; [1769; 9717]; [2235; 8958]; [6655; 8277]; [2458; 4277]; [1057; 10420]; [2390; 9246]; [3608; 5648]; [2419; 7732]; [7398; 8735]; [7458; 9540]; [25; 3793]; [10345; 11133]; [7243; 8797]; [5581; 10469]; [2224; 4231]; [4534; 9196]; [9666; 11195]; [827; 4831]; [6825; 9223]; [6644; 6933]; [6750; 7359]; [2899; 10412]; [3210; 7830]; [533; 1351]; [1525; 6300]; [3419; 11387]; [0; 4271]; [1830; 10319]; [4383; 7872]; [1370; 7860]; [2265; 3077]; [2614; 3985]; [2672; 7373]; [4327; 4530]; [2812; 6629]; [978; 1593]; [2002; 10961]; [1945; 10427]; [1849; 4303]; [8815; 11338]; [1607; 7399]; [660; 5606]; [1341; 1803]; [4081; 10516]; [1813; 4242]; [5168; 8155]; [4705; 6179]; [987; 11104]; [6138; 10871]; [4861; 6692]; [1108; 6146]; [7995; 8162]; [2792; 8205]; [6097; 7837]; [6990; 8643]; [622; 9636]; [6215; 9778]; [5783; 10121]; [7956; 8207]; [6153; 8900]; [492; 895]; [9204; 10867]; [7014; 10168]; [3028; 6388]; [1622; 10689]; [3473; 4752]; [3311; 6676]; [5459; 11313]; [1278; 3682]; [2590; 7293]; [842; 3529]; [3992; 6256]; [2891; 11193]; [8847; 9667]; [4236; 6616]; [4573; 6009]; [5849; 9963]; [1856; 6547]; [6031; 9445]; [1857; 2985]; [743; 6906]; [645; 3365]; [303; 3601]; [514; 3821]; [6336; 10431]; [878; 9201]; [2975; 6703]; [1626; 6620]; [6106; 6744]; [3963; 9998]; [267; 10710]; [6162; 7807]; [7168; 10180]; [2459; 6594]; [3613; 9619]; [683; 4946]; [10209; 11459]; [6383; 9846]; [2670; 7945]; [1304; 5229]; [6971; 10016]; [7148; 11406]; [3662; 8730]; [4606; 10979]; [2602; 3088]; [3668; 10430]; [1397; 4639]; [9387; 11243]; [1944; 4808]; [3131; 6061]; [7609; 9522]; [2814; 3910]; [5432; 6776]; [542; 5064]; [578; 4721]; [676; 1092]; [7795; 9123]; [916; 11132]; [4685; 9178]; [8878; 9272]; [3711; 8972]; [1968; 3300]; [789; 1908]; [5212; 11324]; [1415; 4814]; [2502; 8869]; [7848; 9134]; [8316; 11454]; [3240; 6354]; [4422; 7263]; [308; 5018]; [6200; 6705]; [1490; 9310]; [3567; 5436]; [2828; 8480]; [3548; 11021]; [2478; 10353]; [1826; 6226]; [5542; 7644]; [2892; 9404]; [6469; 7280]; [9707; 9854]; [1020; 8048]; [868; 9906]; [426; 9561]; [555; 5245]; [5928; 10339]; [3249; 9449]; [1019; 3659]; [9973; 10535]; [2034; 6148]; [3506; 7762]; [2011; 2192]; [1042; 2330]; [8875; 8950]; [2127; 3306]; [5736; 10519]; [3962; 5534]; [2994; 8526]; [3123; 4210]; [2676; 3521]; [2896; 5739]; [4360; 5580]; [4019; 9451]; [3706; 4790]; [2097; 3814]; [2310; 11277]; [3802; 4498]; [10271; 10727]; [2859; 5857]; [3552; 10739]; [4076; 9204]; [2013; 4116]; [280; 5548]; [1856; 10548]; [9739; 10839]; [1272; 10497]; [2982; 7361]; [4992; 8681]; [513; 8001]; [2328; 6571]; [3264; 4041]; [3759; 10436]; [1261; 5420]; [946; 10512]; [137; 8653]; [9092; 9715]; [2479; 10123]; [1732; 8388]; [5770; 11577]; [111; 10815]; [10911; 11410]; [2783; 10534]; [10429; 10912]; [5766; 7671]; [5640; 9252]; [3804; 9805]; [8692; 9192]; [7348; 9453]; [2556; 10528]; [3433; 10801]; [2683; 10303]; [7402; 9689]; [189; 6160]; [8153; 11543]; [741; 6673]; [3106; 11345]; [4751; 7814]; [2829; 6341]; [2206; 7116]; [1580; 4210]; [1337; 4452]; [5062; 5232]; [216; 7202]; [3377; 3702]; [3998; 6264]; [452; 3537]; [9455; 10275]; [770; 2126]; [1052; 1058]; [1978; 4256]; [1795; 5303]; [4723; 9149]; [2066; 3322]; [5830; 7440]; [6525; 6733]; [7519; 8345]; [1473; 6191]; [237; 8429]; [3176; 6048]; [9913; 11503]; [5054; 9104]; [10525; 10569]; [1965; 10036]; [3210; 8261]; [2284; 11479]; [8743; 10604]; [3323; 5694]; [1153; 7125]; [9654; 10461]; [802; 6144]; [0; 4702]; [2305; 2907]; [935; 9117]; [6837; 7385]; [5751; 8436]; [4510; 10330]; [864; 10405]; [1800; 7875]; [8088; 9562]; [545; 5175]; [1510; 7547]; [1742; 7116]; [2012; 2281]; [2967; 4719]; [852; 5857]; [4401; 5849]; [6680; 9249]; [3901; 11161]; [3927; 10130]; [2817; 10787]; [7294; 11394]; [1132; 11509]; [4924; 11259]; [10989; 11211]; [598; 2153]; [1530; 9303]; [7247; 7791]; [2023; 6203]; [9275; 9660]; [2836; 11187]; [1621; 5634]; [115; 2157]; [92; 453]; [4192; 4520]; [9582; 11473]; [1664; 7963]; [5194; 10157]; [3626; 9212]; [3383; 5290]; [1408; 6465]; [4815; 10511]; [4466; 10357]; [6236; 11436]; [8500; 9640]; [9620; 9671]; [5366; 11553]; [313; 987]; [311; 10740]; [1505; 6748]; [8499; 9415]; [223; 8641]; [127; 2517]; [1058; 6059]; [3337; 5295]; [9283; 9497]; [1279; 11131]; [1566; 10407]; [7533; 9070]; [35; 2928]; [2839; 11434]; [4601; 8488]; [2607; 5449]; [6543; 8331]; [342; 9272]; [3206; 9915]; [7440; 10010]; [4699; 5990]; [9831; 10241]; [8989; 9400]; [2666; 9412]; [8643; 8763]; [207; 3570]; [730; 5597]; [5938; 6652]; [87; 9103]; [2465; 8375]; [5441; 9229]; [4557; 5533]; [1071; 2857]; [1048; 7569]; [3593; 6015]; [5047; 5168]; [793; 7050]; [252; 2939]; [6162; 8238]; [4981; 10183]; [783; 3329]; [6611; 8973]; [560; 6475]; [6069; 8424]; [3206; 5727]; [2461; 4819]; [2063; 10408]; [4701; 4881]; [5074; 9593]; [2204; 9135]; [2276; 11455]; [5013; 9317]; [1157; 7862]; [492; 9165]; [6120; 8362]; [808; 11091]; [9116; 10622]; [7361; 9851]; [3352; 5148]; [10194; 10427]; [4308; 10440]; [5058; 8686]; [4402; 9321]; [1720; 2498]; [4226; 11539]; [7232; 10380]; [1757; 5763]; [580; 5198]; [6273; 11206]; [3957; 6426]; [5483; 7145]; [2491; 5758]; [823; 7585]; [1408; 8238]; [11272; 11363]; [2707; 4070]; [2079; 10136]; [6850; 8184]; [9902; 10376]; [2560; 10409]; [9771; 10859]; [6003; 9251]; [6445; 10350]; [7066; 8748]; [5323; 9492]; [1714; 3033]; [2305; 2720]; [1403; 4080]; [400; 5388]; [4565; 9850]; [3049; 3403]; [8929; 9991]; [2816; 10779]; [1443; 6138]; [2795; 9902]; [116; 2596]; [603; 2714]; [544; 5517]; [3224; 5097]; [157; 1092]; [1466; 4028]; [2904; 6812]; [7945; 8693]; [2277; 10097]; [5916; 9605]; [7015; 8759]; [1124; 4264]; [5010; 7059]; [8093; 8564]; [223; 6226]; [4700; 6079]; [3547; 4410]; [2247; 11359]; [3856; 5165]; [3487; 9240]; [2300; 7987]; [837; 11000]; [1804; 4373]; [5102; 6998]; [3944; 10647]; [2449; 5077]; [1573; 4625]; [4487; 10293]; [2649; 7767]; [106; 4486]; [6924; 10869]; [5895; 10956]; [1308; 6047]; [3838; 9066]; [11019; 11559]; [3555; 10663]; [9209; 11081]; [7691; 10223]; [8806; 9910]; [2278; 6484]; [10917; 11282]; [2825; 6653]; [903; 5180]; [7530; 8585]; [2728; 6720]; [1179; 10713]; [2338; 9918]; [4974; 9980]; [7591; 9992]; [53; 5949]; [6747; 9078]; [4685; 6844]; [4618; 5622]; [4683; 10181]; [1670; 10169]; [1197; 7505]; [5773; 11501]; [3689; 5536]; [1815; 9769]; [9196; 9664]; [6582; 6917]; [1666; 9646]; [780; 5123]; [353; 9974]; [2722; 5720]; [812; 1628]; [414; 7217]; [944; 3999]; [4243; 9478]; [1894; 8722]; [966; 8861]; [4727; 9298]; [4577; 5567]; [5410; 6322]; [4131; 5480]; [4354; 7215]; [3542; 5085]; [5524; 6609]; [1300; 4950]; [355; 5482]; [2414; 6664]; [4038; 8672]; [728; 7942]; [5991; 8704]; [8668; 9521]; [258; 5549]; [5280; 7380]; [2968; 8004]; [3377; 6711]; [5769; 10577]; [4834; 9545]; [4583; 5762]; [8230; 9295]; [5766; 9525]; [733; 5253]; [2030; 6674]; [3238; 6552]; [903; 9636]; [3189; 10043]; [2623; 7188]; [3497; 7944]; [3681; 10505]; [446; 5196]; [369; 3286]; [4491; 9556]; [1965; 9662]; [3871; 9848]; [6421; 8638]; [4637; 9381]; [4912; 11306]; [1938; 10468]; [1837; 4000]; [4257; 6127]; [1278; 5699]; [1770; 5407]; [3948; 8755]; [3382; 5900]; [4720; 11486]; [4255; 8683]; [2166; 2374]; [7403; 9085]; [478; 3579]; [3134; 9181]; [1207; 3954]; [5247; 7216]; [9111; 9286]; [2821; 4520]; [300; 4970]; [21; 5555]; [1268; 11023]; [2137; 7271]; [2701; 9299]; [1944; 7630]; [4337; 7934]; [887; 11331]; [9531; 10811]; [1868; 2158]; [7736; 11365]; [8814; 11170]; [2871; 4233]; [789; 1347]; [2535; 4284]; [379; 9585]; [5037; 6066]; [4388; 7872]; [1936; 9617]; [8009; 9430]; [2376; 3473]; [180; 5211]; [9961; 10745]; [3612; 4618]; [709; 1768]; [2018; 8868]; [2104; 3724]; [1209; 6255]; [5094; 9202]; [3790; 6610]; [1856; 4376]; [4692; 8633]; [2355; 4474]; [2222; 4884]; [6246; 8367]; [2533; 6466]; [5060; 9968]; [2417; 8735]; [793; 1065]; [1971; 4484]; [1807; 9745]; [7667; 8511]; [6323; 9526]; [2154; 6820]; [9437; 9590]; [7353; 10041]; [2558; 5183]; [4022; 5024]; [7320; 7649]; [7352; 10570]; [561; 8262]; [4143; 6482]; [2961; 5573]; [1422; 9530]; [333; 5402]; [6563; 9363]; [3113; 6344]; [1394; 8236]; [5967; 7797]; [3634; 5292]; [6164; 8311]; [2761; 8144]; [2945; 7699]; [4746; 11097]; [2624; 8812]; [2909; 5009]; [6300; 10831]; [8074; 9400]; [9727; 9894]; [8173; 9379]; [6796; 11412]; [6108; 7628]; [287; 8036]; [4528; 10056]; [7819; 11510]; [3953; 9367]; [694; 10080]; [9252; 9786]; [1411; 8940]; [819; 4864]; [3921; 9829]; [7374; 10113]; [5266; 6006]; [813; 10711]; [2962; 9157]; [1332; 2416]; [347; 8437]; [2799; 10856]; [3485; 7397]; [2143; 9239]; [3012; 5487]; [5849; 9215]; [8648; 10961]; [8922; 10032]; [6193; 9779]; [9393; 9617]; [5009; 5791]; [9169; 9909]; [1077; 5280]; [2171; 4090]; [2319; 3988]; [3225; 9917]; [2855; 3968]; [5279; 6591]; [4959; 11339]; [1851; 11467]; [7269; 9888]; [113; 9145]; [2842; 9398]; [46; 753]; [7415; 9713]; [223; 6307]; [753; 3089]; [5212; 7998]; [1655; 11528]; [3116; 5436]; [4239; 11400]; [5925; 7870]; [536; 7935]; [6009; 6063]; [1377; 2135]; [8715; 11028]; [3180; 6360]; [348; 2222]; [1740; 6913]; [2893; 5549]; [9279; 10777]; [10495; 10516]; [2928; 7987]; [3953; 8912]; [7924; 10125]; [3760; 8517]; [2385; 10219]; [293; 10809]; [9236; 10326]; [2323; 7089]; [5990; 11274]; [1410; 3372]; [385; 10748]; [789; 4193]; [2315; 2660]; [4651; 9600]; [3648; 10154]; [6297; 8923]; [7355; 11486]; [191; 302]; [251; 353]; [6541; 9283]; [7036; 9262]; [2347; 11216]; [2003; 11406]; [1148; 8448]; [7898; 8503]; [217; 4906]; [1966; 11524]; [6264; 9914]; [3358; 9799]; [3523; 5140]; [1553; 3249]; [5539; 10412]; [4104; 4893]; [1958; 10882]; [2304; 5103]; [1891; 2490]; [1920; 8146]; [5996; 6901]; [4005; 4133]; [1742; 8783]; [8172; 9422]; [7494; 10490]; [5061; 6623]; [8268; 9884]; [4340; 10273]; [8116; 10244]; [714; 5308]; [6335; 10504]; [8140; 8386]; [7923; 9849]; [1114; 6181]; [39; 5169]; [6983; 8473]; [6546; 8472]; [3529; 4554]; [480; 2633]; [3465; 7013]; [1; 5816]; [4775; 10551]; [2627; 2881]; [3308; 6248]; [6298; 10972]; [288; 9229]; [3514; 10288]; [3420; 9872]; [6446; 7837]; [7282; 8109]; [3641; 8528]; [3226; 10006]; [6958; 9705]; [8021; 8448]; [1354; 8650]; [3728; 4740]; [2504; 10021]; [8264; 11589]; [2015; 7578]; [3312; 8245]; [5676; 7811]; [8175; 9265]; [1543; 11151]; [3812; 9699]; [6768; 9177]; [8046; 10548]; [5448; 8334]; [7077; 10686]; [1378; 6361]; [1003; 4232]; [4389; 5546]; [4671; 8642]; [5786; 8329]; [2176; 10313]; [3800; 11567]; [469; 4298]; [5474; 6522]; [195; 5227]; [1681; 7301]; [535; 1885]; [246; 8198]; [3042; 3257]; [4514; 7877]; [376; 7490]; [4908; 11214]; [2740; 2892]; [4369; 4520]; [1801; 8534]; [863; 10237]; [8204; 10733]; [1583; 6362]; [420; 9667]; [2627; 7337]; [9344; 11416]; [1940; 10571]; [7313; 9249]; [2490; 8005]; [5824; 6877]; [3590; 10767]; [2494; 8878]; [2026; 2394]; [226; 2604]; [2746; 9099]; [1748; 10751]; [4174; 7031]; [6600; 10481]; [687; 4884]; [3290; 8970]; [7366; 8479]; [812; 10248]; [8807; 10780]; [9244; 11535]; [4655; 5799]; [2037; 6316]; [5522; 8767]; [6464; 10189]; [3255; 10265]; [8348; 8926]; [2133; 3745]; [4048; 7457]; [3154; 7180]; [5798; 11267]; [1247; 1851]; [1470; 10756]; [3836; 6985]; [2742; 11558]; [9094; 10032]; [1465; 6625]; [2580; 6312]; [209; 3323]; [10026; 10766]; [9235; 9513]; [8276; 10339]; [7505; 11216]; [4379; 6631]; [3257; 5773]; [5956; 8069]; [2012; 3761]; [2941; 11394]; [145; 9165]; [5268; 6914]; [319; 8005]; [2502; 6779]; [7271; 11170]; [811; 1297]; [1187; 10444]; [9284; 9755]; [1120; 2806]; [2069; 11061]; [2160; 11179]; [10028; 10438]; [4302; 7700]; [8166; 9770]; [1404; 5948]; [3465; 3793]; [4733; 10138]; [4709; 5580]; [8778; 10334]; [621; 4556]; [7069; 10662]; [5172; 10939]; [4662; 8393]; [1203; 10546]; [3718; 3865]; [5161; 9245]; [3757; 9455]; [1541; 10541]; [5374; 10292]; [9660; 10577]; [5186; 10995]; [4219; 11206]; [637; 8822]; [291; 8185]; [8243; 10525]; [6213; 7829]; [9754; 10212]; [7264; 9975]; [2068; 4019]; [3434; 7489]; [1352; 11019]; [4862; 5421]; [5804; 6089]; [2280; 7847]; [167; 2642]; [1694; 4717]; [5861; 10006]; [5859; 9933]; [2657; 11180]; [103; 8484]; [561; 3700]; [2272; 9834]; [4481; 8331]; [899; 3695]; [441; 2063]; [2617; 11000]; [5998; 8964]; [5535; 7742]; [3086; 9758]; [4471; 11026]; [1962; 5821]; [4071; 7120]; [4320; 7824]; [5440; 7855]; [8363; 11357]; [4187; 8234]; [10061; 10870]; [208; 5625]; [2746; 8562]; [1041; 9009]; [2519; 6304]; [3678; 6263]; [4108; 11509]; [2862; 6643]; [7066; 11033]; [499; 2017]; [4705; 6480]; [7253; 10859]; [18; 5127]; [5136; 8918]; [5633; 9724]; [8367; 11075]; [4938; 8933]; [4222; 9517]; [1520; 11087]; [3423; 5340]; [89; 806]; [2327; 3451]; [2294; 7475]; [112; 7391]; [19; 4948]; [2319; 9225]; [8769; 11240]; [7668; 9007]; [2938; 4544]; [4092; 4159]; [7631; 9879]; [4470; 6963]; [2662; 3148]; [6864; 10875]; [7136; 9119]; [2318; 8973]; [4424; 10001]; [6886; 8190]; [1903; 9697]; [7419; 8653]; [5568; 8174]; [4590; 11202]; [2586; 7475]; [2374; 9282]; [6380; 10304]; [7601; 10387]; [5758; 7517]; [2520; 2691]; [11454; 11544]; [163; 7679]; [2245; 4149]; [216; 10723]; [5935; 10038]; [6628; 10002]; [4441; 7322]; [50; 2325]; [669; 8224]; [1264; 6155]; [4903; 4909]; [7275; 10752]; [4935; 7830]; [1201; 11468]; [1392; 8784]; [3443; 5941]; [516; 11365]; [6232; 6245]; [4373; 9258]; [1350; 8558]; [2185; 2189]; [3345; 11418]; [164; 7126]; [4106; 10607]; [97; 5904]; [5823; 7888]; [5107; 8472]; [3842; 5808]; [3959; 6393]; [1960; 3010]; [8367; 9115]; [1252; 8373]; [3240; 10843]; [6722; 9613]; [19; 2988]; [1085; 6166]; [2647; 7296]; [8211; 8952]; [2638; 3046]; [2426; 4853]; [2109; 9118]; [5497; 9007]; [3043; 10679]; [1449; 10765]; [5778; 7714]; [7980; 11456]; [2352; 10007]; [6397; 10203]; [2228; 8251]; [543; 8219]; [2105; 9349]; [2229; 4689]; [3277; 9570]; [2432; 5048]; [2476; 10982]; [6022; 7293]; [8697; 11447]; [6145; 9578]; [6262; 10917]; [10343; 10770]; [35; 10637]; [4386; 5655]; [2419; 6691]; [533; 1465]; [8748; 10631]; [6566; 8295]; [7622; 10785]; [2644; 8472]; [9922; 10898]; [2539; 4514]; [837; 5259]; [2444; 5408]; [8080; 10882]; [2268; 3462]; [1638; 7230]; [1330; 2159]; [1696; 6454]; [11480; 11505]; [10069; 10544]; [4379; 8217]; [2287; 4643]; [7087; 9845]; [8379; 8670]; [2310; 4812]; [2315; 2904]; [3619; 5496]; [1468; 4725]; [4582; 4789]; [6223; 10184]; [6660; 6775]; [7544; 8219]; [8965; 11396]; [462; 4981]; [2154; 11065]; [6659; 9933]; [10026; 11197]; [1268; 9925]; [10328; 10781]; [2945; 8561]; [926; 10161]; [5835; 10425]; [1645; 9094]; [3324; 10809]; [7216; 8511]; [2015; 2211]; [1755; 7010]; [691; 3878]; [3313; 4234]; [169; 11121]; [3187; 5815]; [9035; 9482]; [3488; 8961]; [4716; 10215]; [5303; 9783]; [5148; 5708]; [882; 10239]; [323; 2139]; [158; 382]; [2439; 6861]; [3315; 4280]; [3557; 10229]; [6234; 10292]; [2055; 3488]; [1310; 2580]; [2405; 10660]; [4399; 11447]; [3267; 3485]; [8868; 10658]; [3235; 4701]; [1715; 7180]; [1082; 3103]; [154; 9658]; [6183; 9199]; [646; 10120]; [4156; 10938]; [4006; 7207]; [9515; 11408]; [7089; 8712]; [1421; 10116]; [1641; 8170]; [2105; 6584]; [7767; 11027]; [5967; 11237]; [979; 5984]; [4960; 8639]; [8707; 9370]; [4929; 7074]; [5831; 9097]; [6417; 8440]; [5090; 11314]; [413; 3479]; [4736; 10035]; [1832; 3577]; [1154; 4645]; [806; 3181]; [1800; 11209]; [4164; 6611]; [5998; 9395]; [2235; 8885]; [927; 4639]; [92; 7975]; [1585; 10466]; [3321; 6299]; [1829; 6662]; [3293; 10667]; [1509; 11410]; [4380; 8306]; [6312; 8215]; [3540; 4882]; [268; 10271]; [2560; 6359]; [8441; 10166]; [502; 5779]; [314; 6482]; [5612; 8928]; [5825; 9975]; [572; 3485]; [2585; 10738]; [7685; 8318]; [7659; 9349]; [3485; 6299]; [1599; 7489]; [592; 11307]; [1552; 6919]; [748; 5404]; [1617; 5816]; [5935; 11274]; [10953; 11451]; [521; 9562]; [10987; 11035]; [1646; 9937]; [4918; 11341]; [6273; 9734]; [2355; 11565]; [4910; 10699]; [579; 3501]; [2225; 2824]; [3092; 8825]; [9198; 11030]; [4721; 11177]; [1794; 10185]; [7227; 8914]; [1251; 6001]; [162; 1119]; [2806; 5960]; [3052; 9399]; [970; 3507]; [4058; 5356]; [1718; 8096]; [2804; 2881]; [5257; 9652]; [7590; 9905]; [1501; 3897]; [1284; 5360]; [592; 10502]; [876; 3845]; [181; 2300]; [1407; 3481]; [2262; 7967]; [6938; 9161]; [3302; 9924]; [1652; 6695]; [1960; 11012]; [745; 1295]; [244; 10169]; [430; 2977]; [2952; 5381]; [1204; 5781]; [7993; 8016]; [243; 10698]; [854; 8408]; [632; 3111]; [4315; 6301]; [3465; 10103]; [2167; 11463]; [6107; 11111]; [295; 3691]; [2626; 9533]; [610; 8398]; [5610; 8026]; [2061; 10663]; [7591; 9325]; [3895; 9283]; [339; 5868]; [6295; 11512]; [1832; 4195]; [2117; 7562]; [6260; 8293]; [4978; 10186]; [5671; 7898]; [5633; 11578]; [1583; 6874]; [2980; 9657]; [3608; 9226]; [6254; 7724]; [6880; 11384]; [1641; 4600]; [5104; 9736]; [4109; 10905]; [617; 7660]; [1135; 2927]; [6427; 8591]; [3939; 9181]; [5840; 9777]; [1351; 7655]; [5771; 6974]; [6557; 7883]; [826; 5555]; [3312; 8302]; [7768; 8032]; [2467; 10950]; [297; 5211]; [230; 3989]; [3869; 6907]; [1854; 5997]; [1220; 1695]; [1404; 2004]; [2651; 3308]; [6350; 7031]; [1367; 8538]; [5510; 9269]; [1936; 4494]; [2863; 11300]; [812; 7727]; [8191; 10205]; [8905; 9548]; [10584; 11263]; [2401; 6516]; [3485; 3884]; [379; 7845]; [1238; 3405]; [683; 1840]; [6746; 7381]; [4605; 7298]; [1799; 5135]; [398; 9026]; [7374; 10333]; [640; 8559]; [6529; 6565]; [4617; 7308]; [2998; 6398]; [3414; 5522]; [575; 7383]; [690; 11305]; [1595; 3046]; [6051; 9192]; [2004; 8169]; [3683; 9884]; [1068; 4283]; [2845; 6533]; [2525; 7117]; [5458; 11307]; [7723; 10867]; [7633; 7941]; [5167; 11508]; [6106; 9249]; [991; 8385]; [1372; 11460]; [118; 2569]; [2268; 6121]; [1019; 3236]; [2545; 8119]; [547; 4180]; [1079; 11588]; [8866; 11417]; [3756; 5235]; [1409; 6804]; [3721; 8432]; [6986; 8665]; [1793; 7144]; [783; 7281]; [7102; 9779]; [7265; 11463]; [1107; 2652]; [3806; 11364]; [2367; 8355]; [5693; 7366]; [407; 4900]; [5790; 10682]; [3365; 10840]; [3888; 5697]; [5044; 6139]; [61; 7646]; [2473; 5748]; [2629; 6261]; [6406; 9086]; [4591; 7510]; [2411; 8253]; [1382; 3422]; [3839; 6185]; [1346; 1513]; [3092; 10866]; [1257; 2195]; [2370; 5219]; [231; 5209]; [2185; 2433]; [6260; 11139]; [195; 2519]; [5324; 7253]; [5575; 11036]; [819; 5352]; [3587; 11195]; [6008; 7885]; [4368; 5344]; [309; 9222]; [2864; 8356]; [4861; 8660]; [6225; 9051]; [7376; 8395]; [549; 6430]; [8300; 10766]; [5037; 8327]; [1487; 10362]; [2488; 5975]; [3014; 5267]; [988; 3444]; [7106; 8692]; [2311; 3834]; [1440; 6759]; [4867; 5822]; [104; 5383]; [319; 7257]; [3596; 4841]; [7538; 8322]; [1405; 11087]; [5918; 7187]; [559; 2930]; [3800; 5021]; [5381; 10365]; [1581; 9219]; [1119; 10851]; [3359; 8661]; [6553; 10936]; [1417; 11447]; [1544; 7058]; [267; 2879]; [1505; 4097]; [4901; 10263]; [285; 6868]; [825; 4338]; [5274; 9313]; [8008; 9910]; [1974; 2855]; [4271; 9867]; [287; 6914]; [1089; 1940]; [306; 4712]; [5675; 6624]; [30; 9732]; [2055; 7920]; [1148; 8936]; [6031; 7225]; [8410; 10829]; [960; 8885]; [740; 4415]; [3024; 4749]; [1085; 7833]; [2026; 5647]; [2702; 8670]; [3792; 9990]; [244; 10600]; [4903; 5771]; [1386; 1530]; [1482; 8408]; [763; 2305]; [4412; 6665]; [9577; 10302]; [1976; 8943]; [164; 1222]; [5123; 11372]; [5494; 7343]; [3040; 8261]; [1344; 4687]; [1318; 3466]; [5702; 7292]; [2909; 9498]; [266; 8265]; [2284; 9446]; [190; 2793]; [10067; 10287]; [1590; 5093]; [3744; 3883]; [1627; 8358]; [787; 10596]; [5758; 7574]; [1188; 5278]; [718; 8547]; [6470; 10254]; [3576; 5238]; [778; 6346]; [10292; 11344]; [3454; 9190]; [1393; 4929]; [9235; 9383]; [3263; 3960]; [3925; 8775]; [4006; 7451]; [4935; 10920]; [5405; 6897]; [8641; 8644]; [582; 6407]; [3546; 5746]; [5838; 5998]; [2983; 4320]; [3194; 10956]; [672; 2136]; [4317; 9006]; [4692; 8129]; [5595; 9623]; [2942; 7702]; [3568; 4192]; [1099; 4832]; [455; 6982]; [3839; 9381]; [9193; 9507]; [1973; 11223]; [1373; 3122]; [1154; 7922]; [256; 356]; [6446; 7170]; [3583; 4473]; [2989; 10150]; [4171; 11059]; [5819; 11209]; [9160; 10498]; [8716; 9326]; [3267; 9340]; [3538; 8113]; [2017; 3574]; [1619; 6911]; [10583; 11469]; [5313; 9536]; [5779; 11029]; [9552; 10729]; [3105; 8231]; [1854; 5273]; [10880; 11463]; [3010; 4961]; [5566; 6949]; [1952; 2775]; [5742; 8114]; [2502; 8877]; [697; 8743]; [1793; 1964]; [105; 4667]; [1251; 3667]; [2446; 9699]; [8475; 9240]; [7628; 11061]; [4178; 8042]; [2096; 5156]; [812; 10386]; [2874; 8833]; [1907; 5634]; [4137; 8391]; [935; 5474]; [4419; 5071]; [1337; 6420]; [530; 1224]; [810; 3493]; [4507; 10553]; [3044; 9402]; [2765; 9987]; [5191; 7021]; [9955; 10314]; [6987; 9321]; [9007; 11329]; [2976; 7955]; [6307; 7310]; [3498; 10511]; [3123; 4218]; [8446; 9949]; [5366; 8715]; [8703; 10514]; [4154; 9095]; [4806; 6806]; [7354; 11185]; [408; 4802]; [5074; 7560]; [623; 6676]; [8028; 10375]; [1343; 2801]; [5231; 9429]; [1279; 5260]; [692; 7944]; [5824; 9943]; [5941; 10528]; [2556; 8658]; [9467; 9570]; [2488; 7211]; [3825; 5779]; [5755; 11277]; [153; 4633]; [7840; 11428]; [2190; 3612]; [1329; 11389]; [6408; 9590]; [360; 11527]; [6249; 8779]; [4659; 6355]; [2756; 5686]; [1753; 6240]; [101; 7102]; [3251; 9829]; [9347; 10592]; [1131; 3453]; [3813; 4614]; [2753; 8798]; [3739; 6385]; [356; 4588]; [1404; 3053]; [5798; 7567]; [510; 10690]; [2895; 11133]; [384; 5855]; [2177; 2222]; [4642; 4846]; [9001; 10305]; [8624; 10355]; [2079; 11486]; [2860; 11297]; [279; 5280]; [6168; 8948]; [7221; 7757]; [3484; 5462]; [53; 8909]; [4129; 8418]; [5972; 8255]; [487; 9366]; [922; 2124]; [3170; 6211]; [5833; 8850]; [4502; 7818]; [6895; 8122]; [2993; 10486]; [4221; 5324]; [3873; 8024]; [628; 8443]; [4088; 5734]; [7606; 10577]; [9502; 10829]; [5331; 8050]; [123; 6995]; [3930; 7777]; [6602; 7496]; [5327; 10560]; [872; 8022]; [6572; 9539]; [4041; 8547]; [871; 8551]; [1993; 2239]; [217; 3597]; [1855; 2305]; [3201; 7752]; [21; 9320]; [6029; 7984]; [4909; 8707]; [733; 11246]; [6593; 10766]; [525; 4881]; [17; 5414]; [765; 7751]; [8674; 9263]; [6900; 8442]; [5773; 7240]; [1974; 6319]; [4274; 10596]; [7331; 10880]; [1657; 4922]; [1417; 8845]; [7296; 7661]; [73; 9860]; [4734; 5858]; [5587; 7989]; [566; 6760]; [822; 4471]; [3017; 11206]; [5458; 8518]; [928; 11313]; [9811; 10779]; [907; 10436]; [967; 4071]; [3587; 3600]; [3826; 10032]; [208; 1575]; [1525; 6284]; [2834; 8466]; [1954; 7895]; [8234; 11219]; [5758; 9160]; [796; 11544]; [6431; 7748]; [930; 1910]; [4159; 8902]; [3999; 10899]; [231; 9291]; [3309; 4036]; [1765; 8373]; [3286; 8748]; [10507; 10640]; [1445; 2541]; [5586; 6609]; [1608; 4225]; [7325; 9129]; [324; 3039]; [5673; 9237]; [3061; 3153]; [692; 991]; [2089; 3774]; [2534; 10806]; [3066; 7661]; [6822; 7754]; [13; 10502]; [1063; 3378]; [1224; 10651]; [2900; 5679]; [5425; 8354]; [8219; 9756]; [2429; 9477]; [254; 10564]; [3; 365]; [4509; 5874]; [1582; 4882]; [6227; 6763]; [2025; 8835]; [877; 6756]; [4662; 9499]; [128; 9112]; [5938; 10043]; [124; 5206]; [9645; 11375]; [5717; 8354]; [4538; 11126]; [1455; 3205]; [3591; 8579]; [47; 263]; [10134; 11539]; [5812; 8591]; [7083; 8037]; [2900; 7907]; [3240; 4565]; [4370; 9448]; [1187; 4329]; [815; 8887]; [3616; 7296]; [3083; 4581]; [1348; 5186]; [5044; 5228]; [2251; 6680]; [6045; 7257]; [2654; 11234]; [6104; 7837]; [5504; 9535]; [8121; 9547]; [4136; 9402]; [1113; 8702]; [992; 10627]; [6477; 10270]; [4472; 8570]; [8261; 8803]; [2411; 4309]; [699; 6618]; [4530; 6296]; [1302; 2158]; [9267; 11149]; [141; 11171]; [669; 11290]; [982; 6125]; [7704; 10548]; [3566; 10161]; [3277; 3642]; [4097; 9797]; [5083; 10794]; [5268; 9793]; [6732; 9634]; [4122; 4377]; [4922; 9156]; [3776; 7904]; [8447; 11006]; [2332; 5305]; [9367; 10225]; [1831; 7009]; [7197; 9404]; [3584; 4701]; [2121; 3550]; [4829; 10096]; [5235; 10784]; [2921; 8329]; [4724; 5384]; [1296; 6850]; [5287; 10193]; [6925; 9655]; [3979; 4449]; [651; 9529]; [1169; 11212]; [9429; 11453]; [6309; 10820]; [2311; 9689]; [2; 1162]; [2133; 11080]; [941; 8729]; [5398; 11313]; [8070; 11032]; [3676; 6518]; [5367; 9748]; [3454; 6856]; [2549; 8699]; [7010; 8773]; [6783; 9548]; [5253; 7175]; [9428; 10073]; [7439; 8132]; [2514; 8863]; [3794; 4645]; [1273; 10757]; [5523; 5723]; [2202; 5558]; [7212; 8126]; [5193; 6720]; [4154; 8371]; [4811; 6426]; [1948; 7139]; [1177; 8016]; [1015; 9186]; [3074; 11122]; [7864; 9220]; [5612; 7643]; [7052; 7090]; [944; 4812]; [1950; 7185]; [6015; 6535]; [7766; 9816]; [385; 4259]; [1073; 3879]; [5553; 7413]; [3547; 10029]; [3875; 9306]; [8352; 9159]; [8161; 10345]; [6359; 9728]; [380; 2380]; [2842; 5487]; [6293; 11360]; [1907; 10871]; [4641; 11468]; [2578; 6380]; [962; 9151]; [2799; 5790]; [5309; 6679]; [1334; 1560]; [991; 4604]; [2851; 5199]; [7121; 11367]; [8575; 10520]; [581; 8678]; [1949; 6559]; [1643; 3069]; [7279; 8543]; [1114; 2725]; [4844; 8013]; [6251; 11484]; [4436; 10662]; [2039; 6452]; [7543; 10309]; [927; 6282]; [9048; 10151]; [117; 815]; [3969; 5534]; [4557; 5704]; [4078; 5477]; [7042; 8980]; [657; 7360]; [1054; 4552]; [1103; 11584]; [2872; 9809]; [4455; 4646]; [3615; 6884]; [1960; 3311]; [4112; 7690]; [3701; 6658]; [406; 544]; [5261; 6207]; [1395; 4064]; [4010; 7413]; [7538; 9534]; [3362; 5657]; [10774; 11281]; [2147; 8772]; [10672; 11004]; [5151; 5288]; [7812; 11234]; [718; 11369]; [5653; 6438]; [390; 5676]; [8336; 9699]; [7455; 9684]; [3754; 5888]; [574; 10866]; [5343; 8841]; [5341; 8014]; [9257; 9520]; [3402; 4682]; [1099; 4271]; [890; 6349]; [5993; 9108]; [6537; 9760]; [4458; 10555]; [3687; 11432]; [3589; 7891]; [1101; 4317]; [2457; 6345]; [2964; 7839]; [2585; 11226]; [8091; 9494]; [185; 7499]; [1219; 2094]; [3552; 8763]; [2082; 4189]; [903; 6961]; [2800; 10067]; [1179; 6078]; [5473; 6978]; [1333; 9928]; [3826; 7430]; [7735; 8519]; [830; 10805]; [646; 8998]; [3473; 5622]; [711; 7141]; [2230; 6689]; [945; 2649]; [5313; 5942]; [9208; 9577]; [8945; 10695]; [196; 841]; [1478; 2331]; [2097; 10482]; [1058; 3465]; [4860; 10319]; [8354; 10604]; [6503; 10125]; [1897; 7418]; [386; 1315]; [752; 11272]; [2526; 3425]; [595; 11288]; [2312; 9323]; [2066; 5884]; [502; 2429]; [5226; 8575]; [7251; 10927]; [6716; 7385]; [819; 10215]; [5348; 10258]; [1120; 11109]; [2271; 6289]; [9399; 11400]; [4953; 6696]; [4330; 7471]; [2974; 4719]; [3548; 7435]; [8238; 8335]; [1509; 6905]; [2725; 6644]; [8619; 11410]; [1443; 2121]; [7402; 11446]; [668; 5508]; [4757; 9386]; [7916; 9223]; [7952; 8880]; [2936; 11001]; [6205; 8724]; [2342; 10262]; [2529; 3672]; [2437; 10499]; [1912; 7645]; [5823; 8807]; [1129; 11171]; [1502; 9467]; [4428; 10234]; [2203; 7070]; [4355; 11449]; [6036; 6821]; [7751; 10445]; [1242; 11233]; [2261; 4796]; [27; 7932]; [2446; 3795]; [1370; 9698]; [7779; 9460]; [5403; 6127]; [7710; 11575]; [2015; 4740]; [2016; 7594]; [6555; 9079]; [1911; 3636]; [7172; 7735]; [1172; 6680]; [2041; 2928]; [3508; 6450]; [6111; 8284]; [1567; 7209]; [569; 8107]; [1847; 3062]; [7550; 10512]; [602; 9718]; [1445; 11161]; [822; 5520]; [7503; 9942]; [1942; 5551]; [1529; 10108]; [1434; 3832]; [8192; 10918]; [3274; 6404]; [1152; 4119]; [9113; 9985]; [711; 10792]; [28; 936]; [5998; 9696]; [5626; 7838]; [6630; 10138]; [6491; 6596]; [8022; 8413]; [6207; 7591]; [1580; 4007]; [169; 9462]; [337; 11490]; [640; 9047]; [4664; 8366]; [5600; 5836]; [573; 1409]; [3718; 3792]; [2296; 9058]; [1890; 8370]; [2079; 11275]; [1019; 11295]; [456; 9869]; [384; 7522]; [4028; 11538]; [6201; 9624]; [5012; 5292]; [2245; 8719]; [9127; 10391]; [1404; 1687]; [5175; 6976]; [3016; 7842]; [261; 6368]; [4486; 9383]; [4732; 8658]; [7564; 10544]; [6222; 7468]; [281; 1358]; [1810; 5758]; [2668; 3345]; [7222; 10026]; [1360; 10433]; [5226; 6160]; [799; 5670]; [8641; 10124]; [771; 3622]; [1760; 11306]; [4341; 5245]; [2386; 7796]; [4790; 5980]; [2001; 11368]; [1784; 6415]; [6869; 8568]; [2230; 9885]; [2376; 9710]; [2911; 6836]; [1538; 6359]; [9323; 10279]; [2812; 10240]; [3268; 4629]; [6080; 10744]; [292; 7128]; [4077; 9871]; [7163; 8641]; [2715; 3110]; [6944; 10031]; [8654; 11059]; [2957; 9059]; [994; 8339]; [1990; 10024]; [1543; 2165]; [2045; 3315]; [1355; 2868]; [4567; 6473]; [394; 7031]; [1579; 8211]; [7207; 7408]; [7766; 9092]; [2580; 3824]; [5312; 10764]; [882; 3587]; [5250; 7634]; [52; 7267]; [6953; 9743]; [599; 7436]; [2660; 5281]; [321; 10875]; [1844; 5661]; [5646; 6853]; [792; 10460]; [1544; 6123]; [3280; 8372]; [3810; 5154]; [5642; 9363]; [565; 5573]; [3997; 7232]; [9095; 9647]; [9193; 10182]; [3555; 3881]; [7159; 10750]; [3934; 6129]; [1687; 4896]; [1382; 10676]; [852; 8232]; [7379; 11433]; [6135; 9646]; [7164; 8061]; [5564; 10611]; [3053; 5333]; [1861; 3736]; [563; 5096]; [4143; 6653]; [5853; 7681]; [4572; 6012]; [334; 8427]; [1943; 2233]; [3940; 8953]; [5779; 8671]; [4370; 8537]; [2190; 2864]; [5345; 5935]; [5529; 7742]; [2605; 11185]; [971; 2073]; [2066; 10153]; [5402; 9852]; [3029; 3784]; [1031; 5507]; [511; 7915]; [3310; 8907]; [7441; 8877]; [9614; 11127]; [4824; 6613]; [2499; 10385]; [4856; 11032]; [3682; 8486]; [2118; 10693]; [2519; 4621]; [7653; 9699]; [8711; 8852]; [4356; 9928]; [6729; 7328]; [5476; 7707]; [6658; 8616]; [2556; 3722]; [7910; 11018]; [1238; 10122]; [3354; 7674]; [2550; 10323]; [4128; 4816]; [7923; 8247]; [8050; 10274]; [3814; 6346]; [1885; 10872]; [6838; 10654]; [4123; 7855]; [5741; 11546]; [9574; 11297]; [1166; 1736]; [5966; 7692]; [7166; 8426]; [1724; 3168]; [1409; 8260]; [5351; 10987]; [977; 1433]; [1254; 4185]; [2429; 10339]; [1403; 9943]; [7913; 10511]; [800; 5708]; [8929; 9438]; [1954; 4569]; [1421; 1854]; [5873; 10510]; [54; 1165]; [7495; 10937]; [4945; 6485]; [1759; 1849]; [9354; 11307]; [4089; 7466]; [6463; 10726]; [4277; 10900]; [4213; 9195]; [476; 2736]; [10405; 10420]; [3377; 5890]; [3898; 4838]; [841; 7937]; [1426; 4426]; [4519; 6619]; [3886; 6706]; [1504; 9944]; [2965; 3852]; [5795; 11327]; [1650; 9769]; [652; 10667]; [1989; 6983]; [7990; 10892]; [1831; 9026]; [3039; 4740]; [6803; 8858]; [6524; 7191]; [3377; 4735]; [3380; 8416]; [6088; 10044]; [9790; 11032]; [1034; 7177]; [8196; 11118]; [8316; 9722]; [2813; 9473]; [3711; 4207]; [3433; 7646]; [2779; 6856]; [3701; 6902]; [8467; 10241]; [7180; 11036]; [2137; 8328]; [740; 3293]; [5406; 6051]; [6940; 11549]; [11109; 11249]; [2293; 2425]; [7530; 8382]; [5011; 9659]; [1109; 4853]; [10042; 10852]; [9018; 10529]; [9890; 11212]; [2672; 8837]; [7309; 10857]; [3725; 7646]; [2378; 8390]; [454; 6844]; [3093; 4171]; [734; 2697]; [10286; 10431]; [1607; 5480]; [2440; 6235]; [5177; 7103]; [631; 4447]; [3406; 5799]; [94; 4996]; [9751; 10272]; [3061; 8016]; [9995; 10632]; [1060; 3806]; [2616; 4367]; [3233; 3777]; [1395; 9919]; [65; 6106]; [182; 1029]; [715; 7908]; [1954; 5187]; [4923; 9034]; [8405; 8558]; [3037; 9500]; [729; 4581]; [9703; 10581]; [8180; 9379]; [3445; 3818]; [4274; 7083]; [7666; 10097]; [606; 9062]; [2067; 2970]; [5885; 8105]; [2564; 3022]; [9754; 9765]; [3152; 10362]; [2615; 3741]; [5400; 8033]; [99; 4535]; [1036; 11275]; [9773; 10946]; [1533; 5665]; [411; 8971]; [1968; 9757]; [5919; 7285]; [530; 10356]; [3601; 7340]; [5903; 8280]; [6524; 10842]; [646; 11470]; [4215; 6452]; [6580; 11124]; [18; 2452]; [2626; 6882]; [9914; 9996]; [4000; 7961]; [6328; 7870]; [1383; 5697]; [739; 7847]; [944; 4869]; [5025; 8886]; [2222; 5486]; [572; 2257]; [7540; 10119]; [7421; 8707]; [4907; 10328]; [661; 5712]; [7393; 10823]; [6667; 10719]; [414; 11470]; [9060; 11023]; [1539; 9593]; [5897; 8034]; [7323; 9303]; [5394; 6659]; [2641; 7540]; [7338; 9611]; [5324; 11555]; [2647; 5076]; [2523; 6730]; [8376; 10741]; [11201; 11456]; [5129; 8081]; [4286; 7392]; [5468; 8301]; [4258; 5344]; [5283; 7767]; [1262; 6467]; [3080; 10970]; [3810; 4430]; [6627; 10889]; [2326; 2402]; [5407; 7244]; [10324; 11533]; [2545; 10811]; [978; 3675]; [8448; 8523]; [1964; 10307]; [4612; 5468]; [2873; 9337]; [1476; 4302]; [4184; 5930]; [414; 10665]; [906; 3957]; [3588; 9282]; [656; 10198]; [3181; 10621]; [1404; 6119]; [3494; 8866]; [3303; 5134]; [3769; 4375]; [8681; 10572]; [183; 4501]; [8488; 10931]; [6437; 7358]; [3202; 8465]; [497; 6354]; [2076; 10117]; [918; 8104]; [3975; 7634]; [1736; 4764]; [9702; 10974]; [550; 6365]; [240; 5385]; [1014; 4779]; [4868; 5407]; [5081; 6454]; [6199; 9822]; [3969; 4786]; [4120; 10617]; [10097; 10722]; [3304; 5335]; [1996; 8259]; [2932; 5729]; [6235; 8698]; [2905; 4283]; [3829; 7408]; [410; 10118]; [2086; 8152]; [8350; 10943]; [4957; 11464]; [3546; 4087]; [373; 10236]; [8740; 10347]; [4786; 6105]; [7093; 11553]; [1202; 6304]; [460; 5667]; [1422; 2106]; [7332; 7405]; [4656; 10196]; [3854; 8754]; [9071; 9171]; [5337; 6393]; [141; 437]; [2190; 8101]; [2067; 9199]; [4550; 6013]; [2962; 4416]; [9; 10871]; [1845; 3902]; [7608; 9151]; [2085; 6772]; [510; 5380]; [3994; 11393]; [7167; 9408]; [2707; 6526]; [1528; 11550]; [0; 10004]; [683; 7028]; [2608; 5766]; [3327; 5453]; [1835; 3564]; [3987; 7189]; [1611; 3856]; [1244; 8758]; [1084; 11509]; [8348; 10065]; [5098; 9386]; [678; 3651]; [4227; 4397]; [271; 11406]; [3609; 5516]; [7115; 11096]; [5353; 7626]; [1353; 5668]; [40; 5996]; [4553; 5506]; [4346; 8411]; [234; 2829]; [8358; 10379]; [5770; 8853]; [176; 2070]; [2385; 6983]; [3428; 4350]; [7889; 10840]; [6736; 8417]; [3028; 6860]; [1911; 11264]; [4358; 8421]; [1971; 11315]; [1555; 2769]; [2862; 9042]; [10427; 10744]; [1530; 5156]; [5141; 9032]; [1116; 9488]; [2145; 3739]; [2544; 7420]; [3925; 5506]; [1590; 2174]; [740; 10140]; [2519; 9053]; [10428; 11319]; [7837; 10276]; [3448; 6106]; [3855; 10402]; [273; 5012]; [7962; 9224]; [9271; 11406]; [4562; 5568]; [3073; 3196]; [8300; 8465]; [3945; 10295]; [6565; 9824]; [333; 9200]; [2043; 10228]; [1817; 9693]; [11217; 11371]; [5207; 8874]; [482; 8919]; [2246; 2636]; [2528; 5732]; [630; 5407]; [1406; 5628]; [2429; 4972]; [2222; 7877]; [4044; 9146]; [3736; 4829]; [3703; 8853]; [251; 5761]; [6285; 6400]; [9275; 11124]; [1674; 3349]; [5693; 6488]; [4488; 10291]; [1152; 4176]; [713; 7512]; [1220; 9006]; [207; 2456]; [1151; 4705]; [767; 7748]; [6214; 11071]; [5190; 10748]; [7735; 9194]; [3628; 3956]; [4476; 5743]; [1138; 2965]; [570; 4201]; [3155; 4675]; [6638; 7053]; [4626; 9070]; [6076; 10733]; [2129; 7662]; [1747; 11532]; [1192; 9967]; [8286; 9832]; [6515; 11534]; [9239; 11443]; [1909; 2411]; [3829; 7221]; [4570; 7633]; [3337; 10142]; [7628; 11525]; [1988; 3643]; [6475; 9102]; [1395; 6512]; [7248; 8271]; [2377; 4357]; [1167; 7816]; [6552; 9507]; [3940; 7587]; [4936; 5862]; [175; 6250]; [15; 1831]; [2408; 9305]; [6570; 7834]; [8949; 10684]; [2194; 8033]; [4518; 6288]; [514; 2683]; [2524; 4003]; [3365; 4619]; [3215; 7304]; [5486; 6679]; [3404; 3793]; [5197; 6576]; [441; 7308]; [3684; 10226]; [3679; 5718]; [9966; 10967]; [8630; 9591]; [3273; 8413]; [162; 4860]; [6227; 7064]; [1557; 6816]; [6682; 7644]; [2647; 8890]; [1231; 7585]; [3758; 11087]; [4730; 8214]; [7311; 8569]; [1485; 8633]; [1041; 10871]; [555; 7945]; [7950; 10956]; [4440; 8640]; [3350; 3533]; [349; 6564]; [5577; 9025]; [4734; 7582]; [7017; 8472]; [35; 2432]; [4212; 8409]; [2722; 3183]; [6237; 10761]; [1913; 7740]; [1624; 7637]; [5858; 7732]; [8880; 8961]; [2767; 5585]; [155; 5917]; [1870; 7289]; [5622; 8394]; [1520; 3500]; [4753; 5730]; [519; 1848]; [1057; 4907]; [5750; 10242]; [3604; 9815]; [5650; 5874]; [2348; 3507]; [135; 8274]; [4807; 7814]; [1716; 5667]; [1654; 4789]; [8376; 9212]; [3594; 8723]; [3749; 6382]; [447; 6267]; [2152; 6951]; [2398; 3220]; [4338; 9406]; [5916; 11069]; [9302; 9377]; [8494; 10372]; [3513; 6290]; [2171; 3968]; [1302; 1304]; [548; 8978]; [1429; 10124]; [7869; 11451]; [7642; 8062]; [3237; 10529]; [1978; 6956]; [4254; 6675]; [9393; 9845]; [9073; 10429]; [5817; 10659]; [2252; 9410]; [9533; 11353]; [5558; 6234]; [3681; 3780]; [573; 4662]; [1285; 8840]; [1247; 6104]; [8936; 10316]; [6386; 9274]; [2253; 2815]; [2179; 6838]; [2215; 6495]; [1938; 3743]; [243; 1525]; [5022; 5850]; [1715; 5391]; [1711; 7901]; [1117; 1500]; [4084; 10936]; [5013; 11399]; [4820; 5342]; [3292; 10212]; [365; 9220]; [5812; 6127]; [3035; 8112]; [5445; 11029]; [4318; 9827]; [2642; 5377]; [1916; 5273]; [4665; 7656]; [5780; 6589]; [3813; 8379]; [3157; 6762]; [6988; 9850]; [1685; 5525]; [2839; 5140]; [1347; 3251]; [1381; 8497]; [7260; 11477]; [94; 10046]; [479; 9857]; [1399; 9076]; [998; 1562]; [3047; 8472]; [7940; 8203]; [9127; 9456]; [1899; 7147]; [5073; 8016]; [9556; 9569]; [7054; 7063]; [5386; 9644]; [3858; 8098]; [5750; 10860]; [3534; 8940]; [8055; 9065]; [10515; 10591]; [8755; 9476]; [6482; 7776]; [265; 8184]; [2314; 10930]; [6025; 9752]; [1727; 11362]; [392; 3041]; [2214; 5064]; [1071; 3329]; [3063; 9705]; [6117; 6308]; [8479; 11463]; [9308; 10564]; [7035; 8110]; [2245; 3596]; [1092; 7589]; [4951; 8561]; [312; 4216]; [1303; 1393]; [6911; 9737]; [395; 2938]; [1277; 3555]; [7371; 10661]; [3639; 8710]; [2724; 5701]; [117; 6377]; [3971; 7759]; [4072; 7811]; [4108; 7468]; [2117; 11116]; [3473; 6728]; [665; 1486]; [1105; 7420]; [5533; 11518]; [2823; 9063]; [922; 2051]; [7515; 10790]; [6555; 8762]; [3902; 6087]; [333; 8826]; [4414; 8679]; [6986; 10446]; [3648; 8422]; [361; 7087]; [7800; 10370]; [4118; 10788]; [469; 4176]; [8199; 8389]; [4804; 5077]; [354; 2883]; [6785; 7130]; [7416; 10380]; [2244; 8982]; [6721; 9589]; [4043; 5137]; [4485; 6236]; [182; 7502]; [6936; 9928]; [403; 6158]; [272; 9647]; [748; 9576]; [2042; 4310]; [1885; 10742]; [3168; 5287]; [3096; 3721]; [3872; 3942]; [2254; 5886]; [9387; 11341]; [1046; 3756]; [540; 11532]; [2288; 4716]; [853; 9777]; [2749; 10029]; [3621; 5794]; [2793; 9547]; [3101; 7448]; [1501; 10752]; [3533; 3695]; [8106; 9672]; [7421; 9569]; [7822; 9913]; [1139; 9582]; [3692; 7889]; [5232; 6062]; [1281; 5501]; [2339; 3900]; [1933; 3212]; [8495; 10386]; [6607; 9995]; [3990; 8485]; [1376; 5738]; [6596; 9836]; [3392; 10256]; [582; 10603]; [561; 3310]; [4972; 11211]; [3723; 9080]; [3110; 10543]; [4569; 10040]; [1049; 6282]; [8683; 10033]; [7781; 11393]; [302; 4547]; [3915; 9250]; [2599; 5143]; [8211; 10977]; [806; 2360]; [8980; 9273]; [7625; 10099]; [3128; 4706]; [4970; 7351]; [9724; 9956]; [5894; 7470]; [8760; 10438]; [6050; 7983]; [86; 6585]; [2124; 9172]; [3834; 6036]; [6576; 10658]; [5609; 7459]; [2123; 8947]; [4461; 9544]; [6350; 8625]; [1405; 6452]; [6; 590]; [3550; 9660]; [2189; 10698]; [3710; 4657]; [12; 10958]; [7605; 8292]; [9439; 11076]; [5800; 8158]; [956; 1903]; [1808; 10225]; [10865; 11564]; [7832; 10176]; [554; 1334]; [2758; 5149]; [7465; 8662]; [5808; 10678]; [54; 6646]; [10518; 11456]; [3202; 6294]; [7620; 8950]; [1011; 8376]; [6093; 10258]; [10723; 11107]; [4491; 10483]; [4711; 8537]; [9454; 10953]; [3969; 5648]; [5684; 9272]; [7009; 9735]; [5297; 5628]; [8108; 8889]; [6272; 9442]; [9; 9505]; [6865; 9956]; [2875; 3805]; [9688; 9844]; [2398; 10067]; [6066; 8061]; [4744; 11279]; [6876; 7112]; [521; 7586]; [2649; 4401]; [226; 7638]; [3645; 9092]; [830; 1925]; [7027; 10664]; [7113; 9684]; [2641; 3759]; [397; 9213]; [309; 6360]; [3664; 10273]; [6403; 11214]; [6553; 8529]; [1047; 3845]; [4187; 5884]; [4510; 4817]; [3815; 10442]; [929; 9451]; [547; 9157]; [2135; 8502]; [8637; 11461]; [7701; 9073]; [3532; 7121]; [5865; 7374]; [2092; 11057]; [48; 2239]; [5731; 8313]; [103; 1946]; [3936; 8867]; [4364; 6870]; [3860; 9811]; [625; 10918]; [1814; 6582]; [4647; 7158]; [2216; 4118]; [5546; 11162]; [2581; 8188]; [2560; 7311]; [4635; 9026]; [6159; 6666]; [7435; 11374]; [1924; 6346]; [6280; 8124]; [640; 11576]; [9415; 9819]; [2226; 6684]; [274; 7254]; [678; 11279]; [6683; 7016]; [478; 10467]; [1409; 7593]; [889; 5083]; [5032; 5814]; [507; 2537]; [350; 11221]; [5835; 8612]; [5706; 5758]; [8821; 9430]; [3802; 11280]; [8160; 9721]; [2085; 6829]; [32; 8845]; [1821; 9200]; [4247; 5480]; [231; 10186]; [4457; 7010]; [9307; 11575]; [4455; 6183]; [3648; 4397]; [1991; 7167]; [222; 6690]; [2122; 2897]; [5785; 10373]; [1926; 2985]; [8319; 10882]; [5418; 8859]; [1330; 7835]; [1053; 5837]; [4296; 8755]; [10012; 10051]; [1109; 6146]; [3199; 9647]; [7834; 10840]; [2667; 9786]; [363; 1603]; [306; 5233]; [7341; 10153]; [201; 3527]; [7052; 10050]; [2286; 10094]; [338; 10406]; [2635; 3832]; [2783; 4484]; [2101; 3898]; [8379; 11313]; [2935; 7507]; [1691; 5720]; [7757; 8526]; [3407; 9946]; [2060; 11444]; [2124; 2569]; [3624; 8483]; [571; 9072]; [4235; 9576]; [10362; 10406]; [343; 6212]; [4331; 10038]; [2270; 5023]; [4135; 10126]; [5446; 8971]; [284; 2599]; [2811; 6101]; [5385; 9449]; [2119; 2575]; [7215; 10579]; [8772; 11365]; [773; 8425]; [2762; 8868]; [3892; 9587]; [830; 2543]; [7502; 7603]; [8398; 8680]; [6994; 8890]; [1863; 4083]; [5030; 7945]; [6148; 11313]; [3875; 11111]; [1767; 7004]; [332; 5649]; [5564; 11262]; [9979; 10237]; [2937; 4146]; [4993; 8063]; [5526; 8526]; [2035; 5506]; [6835; 11462]; [9789; 10113]; [5682; 9039]; [484; 8672]; [4381; 6718]; [3714; 7221]; [890; 3698]; [606; 3939]; [1070; 6517]; [1352; 5449]; [851; 7153]; [3373; 10311]; [5861; 7469]; [7043; 9132]; [7175; 10749]; [2380; 5891]; [6072; 8443]; [7629; 8475]; [8097; 10795]; [850; 1266]; [914; 8606]; [959; 7625]; [1155; 5285]; [6540; 6976]; [649; 6645]; [3805; 6154]; [1114; 1497]; [1432; 7256]; [3882; 8094]; [9988; 10299]; [931; 2544]; [1201; 10541]; [4497; 6677]; [8206; 11088]; [5752; 9754]; [5659; 9563]; [1607; 1780]; [2324; 11220]; [4965; 5210]; [489; 8211]; [6399; 11258]; [5339; 11278]; [5989; 8916]; [4891; 10364]; [3210; 7822]; [6107; 10103]; [319; 825]; [9656; 10849]; [2115; 3125]; [3233; 6493]; [6849; 10713]; [5882; 10924]; [2019; 6046]; [4830; 9307]; [7287; 7906]; [9181; 10741]; [5253; 7720]; [4638; 6104]; [1424; 1672]; [4500; 6170]; [1012; 6831]; [581; 3612]; [4287; 8506]; [3351; 11036]; [1908; 11291]; [984; 1750]; [5963; 9923]; [3690; 7469]; [5982; 7721]; [1598; 3895]; [4803; 6329]; [6138; 7480]; [6919; 8045]; [3068; 11098]; [5057; 7377]; [3894; 10682]; [4675; 11247]; [1474; 4768]; [1498; 2910]; [2843; 5503]; [7633; 10771]; [10021; 10731]; [413; 5317]; [3367; 8886]; [3109; 3932]; [533; 3921]; [311; 5040]; [772; 6189]; [5694; 10822]; [2552; 7956]; [2583; 8023]; [5048; 9893]; [2961; 6663]; [6724; 7927]; [3828; 6248]; [1185; 5015]; [6183; 10232]; [4125; 6242]; [737; 4101]; [8646; 9777]; [3164; 3989]; [335; 9948]; [5402; 7388]; [1355; 6365]; [1358; 10046]; [4741; 5427]; [9041; 9525]; [1538; 2285]; [292; 6087]; [944; 4552]; [417; 11451]; [8696; 9490]; [723; 2109]; [356; 11175]; [6665; 9575]; [2690; 10872]; [3045; 8619]; [3798; 6382]; [7060; 10104]; [2051; 6226]; [5105; 6239]; [1311; 5662]; [657; 4872]; [259; 10461]; [5383; 8435]; [1615; 6827]; [6971; 7780]; [3330; 8199]; [4111; 8764]; [2454; 4364]; [8030; 9787]; [561; 8547]; [530; 2818]; [9456; 11056]; [3487; 11566]; [2522; 2778]; [669; 4882]; [6998; 9576]; [2793; 7213]; [263; 3413]; [1449; 5195]; [6058; 11583]; [4377; 9041]; [9470; 11112]; [1810; 6140]; [824; 2891]; [2159; 6294]; [2226; 8270]; [4435; 6013]; [4402; 10037]; [5763; 6747]; [4923; 8985]; [3834; 4857]; [3705; 6167]; [3343; 11413]; [977; 8768]; [5612; 9961]; [4201; 9754]; [2931; 5992]; [9596; 9881]; [5415; 6414]; [1127; 9466]; [1860; 5853]; [2552; 6346]; [7281; 11338]; [7341; 11389]; [2514; 6993]; [1048; 6325]; [4157; 6799]; [6896; 7740]; [8195; 9988]; [2689; 5304]; [175; 6925]; [354; 8388]; [297; 1438]; [9166; 9896]; [4956; 7189]; [1407; 10580]; [1001; 9892]; [3060; 4658]; [3578; 6341]; [905; 6397]; [5079; 6441]; [2118; 6619]; [5385; 10685]; [3086; 9262]; [5815; 9515]; [2866; 4792]; [1959; 8060]; [3831; 7164]; [6107; 6883]; [656; 9076]; [9864; 10584]; [277; 10211]; [1092; 9606]; [1667; 5407]; [1985; 3996]; [4629; 8083]; [7707; 9244]; [3939; 7636]; [28; 58]; [9919; 11422]; [2166; 5505]; [149; 7932]; [3698; 7924]; [1102; 2373]; [5466; 8930]; [3379; 5700]; [643; 7686]; [9442; 10487]; [6672; 7981]; [4096; 7970]; [1911; 8369]; [264; 8821]; [7609; 9059]; [97; 3985]; [5549; 7652]; [3713; 8205]; [3028; 7348]; [813; 9036]; [1181; 7742]; [998; 8035]; [3153; 9679]; [7535; 10426]; [1304; 6994]; [2334; 9761]; [2458; 5855]; [2795; 8658]; [3796; 7277]; [3949; 7519]; [1573; 4186]; [4188; 9787]; [487; 10155]; [1982; 9309]; [542; 3446]; [10512; 11131]; [916; 3098]; [6700; 9224]; [6576; 6714]; [230; 11438]; [1409; 6414]; [2654; 11055]; [7879; 9081]; [6485; 10733]; [2282; 2781]; [4307; 5133]; [2332; 2898]; [1870; 10192]; [4399; 8105]; [183; 7835]; [3871; 11369]; [2206; 7108]; [26; 7851]; [4272; 6051]; [1583; 3719]; [7961; 8332]; [1992; 8842]; [2701; 7087]; [7468; 8399]; [2891; 11348]; [6003; 10585]; [7811; 8738]; [3387; 7765]; [4352; 10137]; [2704; 8489]; [1888; 11121]; [5589; 9255]; [1394; 8334]; [6766; 9820]; [401; 9576]; [3570; 3685]; [4967; 6468]; [139; 5634]; [1174; 3083]; [7022; 10914]; [6296; 10056]; [7729; 8332]; [5714; 10832]; [2469; 11251]; [3959; 5897]; [3248; 10989]; [3398; 8304]; [9277; 11284]; [6913; 9466]; [1498; 10562]; [1751; 8756]; [4495; 10795]; [1818; 4316]; [5675; 10877]; [474; 4577]; [4801; 7869]; [1028; 5917]; [8215; 8225]; [1525; 6723]; [8474; 10371]; [346; 5331]; [1553; 7990]; [4075; 10394]; [4176; 11200]; [2058; 6405]; [1896; 7575]; [4344; 6088]; [6470; 9246]; [5811; 9610]; [6346; 6736]; [1934; 7278]; [1886; 3854]; [9363; 9873]; [738; 2529]; [736; 5866]; [2190; 5019]; [9328; 10818]; [1924; 9973]; [3848; 5857]; [8571; 9149]; [2778; 5189]; [16; 2544]; [3849; 8711]; [4805; 7587]; [4247; 8757]; [6924; 8820]; [3130; 5991]; [7457; 9283]; [9912; 11219]; [3276; 5816]; [633; 4583]; [4086; 4867]; [2274; 9978]; [1467; 8192]; [5730; 9779]; [6358; 7096]; [2812; 4369]; [5167; 8353]; [1161; 10337]; [3458; 4517]; [4397; 5668]; [5569; 5889]; [1809; 9060]; [3664; 8557]; [1499; 3916]; [6602; 6675]; [7058; 7480]; [6877; 8600]; [3197; 3429]; [5445; 7516]; [4287; 11165]; [7062; 8353]; [1584; 3465]; [112; 10896]; [3254; 7346]; [3200; 10493]; [8705; 10788]; [732; 7571]; [6580; 11238]; [4438; 8301]; [8135; 11197]; [3283; 5051]; [5303; 7059]; [5216; 7814]; [1966; 7889]; [9230; 10609]; [6334; 11182]; [4281; 6782]; [3899; 10652]; [4742; 5679]; [1228; 7371]; [1216; 10020]; [1159; 9486]; [4672; 6788]; [431; 9686]; [6804; 9791]; [2743; 4898]; [2512; 2521]; [3659; 10791]; [1919; 4636]; [2084; 2983]; [4288; 6798]; [3066; 6490]; [9981; 10527]; [5360; 6788]; [7512; 11167]; [5707; 10279]; [1068; 5934]; [1314; 2957]; [3373; 4139]; [451; 9907]; [2404; 10693]; [1212; 2680]; [3622; 4843]; [3682; 5648]; [1059; 11483]; [6919; 10249]; [2735; 3101]; [7129; 7615]; [3917; 4010]; [4856; 5161]; [4044; 9447]; [2328; 8604]; [4296; 10422]; [5843; 9766]; [2579; 5971]; [6720; 10039]; [875; 5889]; [302; 6027]; [2898; 8168]; [9178; 11492]; [489; 1689]; [6225; 9279]; [2025; 8014]; [6099; 10860]; [1828; 10883]; [574; 1238]; [1943; 1973]; [9517; 11308]; [7260; 9387]; [572; 3794]; [6327; 11434]; [4123; 5367]; [1036; 8624]; [7445; 8386]; [1695; 1844]; [5084; 10249]; [8446; 11169]; [3580; 6845]; [6011; 10639]; [4527; 8611]; [4820; 5480]; [8930; 10235]; [1960; 5710]; [2949; 6978]; [9805; 10435]; [6138; 8879]; [2210; 10022]; [3235; 6783]; [5346; 8155]; [3259; 4925]; [647; 5257]; [2675; 11290]; [5730; 10747]; [1608; 4477]; [1238; 9862]; [398; 5684]; [8737; 10944]; [3790; 7944]; [4719; 10659]; [2565; 10371]; [4039; 8648]; [455; 5437]; [6463; 11271]; [174; 2943]; [3653; 4448]; [7054; 8706]; [1297; 7409]; [1388; 6773]; [2131; 11018]; [5921; 9941]; [1700; 7799]; [3159; 11460]; [7; 7906]; [9626; 10446]; [2289; 10823]; [3466; 4972]; [135; 4119]; [720; 7024]; [3395; 6260]; [5136; 8853]; [6282; 7853]; [1989; 10561]; [5354; 10244]; [2530; 10885]; [5830; 10173]; [1866; 5243]; [682; 7671]; [343; 4041]; [5291; 9895]; [589; 1064]; [10019; 11279]; [1547; 6429]; [2483; 3899]; [215; 8959]; [10912; 11304]; [1602; 9519]; [1425; 2467]; [3286; 11578]; [4069; 6554]; [2890; 11578]; [5153; 6928]; [6025; 6857]; [397; 1244]; [1820; 4494]; [2007; 4320]; [2067; 11541]; [6075; 9603]; [5490; 6698]; [5483; 5527]; [8605; 10370]; [7017; 8773]; [1212; 3298]; [6103; 8618]; [2612; 5598]; [160; 8097]; [1689; 6081]; [2673; 2841]; [1496; 6440]; [4552; 8751]; [3415; 6861]; [772; 5628]; [3418; 10542]; [7160; 10929]; [7726; 9620]; [2638; 7169]; [8647; 9441]; [6000; 10718]; [8240; 8528]; [4994; 10974]; [1701; 6441]; [603; 4479]; [8582; 10894]; [358; 3894]; [2132; 2463]; [3054; 8171]; [6672; 6802]; [37; 11423]; [1508; 6019]; [4118; 11276]; [5171; 7079]; [2130; 11435]; [379; 1738]; [4372; 5908]; [415; 1395]; [1557; 5157]; [2057; 9644]; [2406; 4136]; [9190; 9437]; [3018; 8864]; [4766; 6212]; [1893; 2073]; [2173; 4342]; [7159; 7270]; [1156; 1780]; [2334; 5199]; [6661; 8491]; [5868; 10575]; [3423; 3665]; [672; 1209]; [8833; 11270]; [1977; 4403]; [5655; 9501]; [648; 10614]; [1350; 7688]; [2160; 6739]; [2294; 2767]; [51; 8823]; [5997; 9615]; [1637; 10347]; [3841; 8500]; [2693; 6421]; [2872; 8638]; [64; 2642]; [1880; 11236]; [1309; 1621]; [2991; 7017]; [3271; 9286]; [7316; 9482]; [6103; 7008]; [807; 3854]; [279; 7118]; [5974; 7537]; [3176; 9399]; [4172; 6920]; [7307; 8615]; [5383; 7069]; [1393; 6580]; [3917; 6401]; [2862; 4513]; [2509; 9121]; [5059; 7911]; [2729; 4923]; [1760; 11477]; [3931; 7238]; [892; 6005]; [1944; 4589]; [9512; 9972]; [350; 4675]; [6946; 10679]; [5022; 8379]; [3623; 9687]; [4898; 6623]; [7785; 8216]; [228; 6375]; [1305; 9742]; [255; 4788]; [6375; 10863]; [3140; 5554]; [5915; 6152]; [6099; 8713]; [4762; 10145]; [1529; 2253]; [10075; 11024]; [2422; 3059]; [6100; 11567]; [10181; 11420]; [1429; 2049]; [935; 1514]; [7461; 8277]; [2112; 8495]; [929; 945]; [397; 4090]; [5562; 7727]; [801; 8115]; [1957; 7803]; [2728; 7680]; [462; 2233]; [8889; 9592]; [523; 10056]; [6808; 7308]; [72; 11123]; [3812; 10683]; [6861; 6942]; [10221; 10445]; [264; 4877]; [1131; 6714]; [4940; 9077]; [4966; 8046]; [3997; 10436]; [1858; 10426]; [7388; 9088]; [4983; 5017]; [693; 7242]; [7800; 11476]; [6983; 9002]; [2685; 7202]; [3373; 10986]; [4545; 11207]; [3053; 5154]; [3746; 10036]; [563; 11333]; [3648; 6495]; [2521; 5293]; [406; 10595]; [3403; 6664]; [10865; 10897]; [3561; 7250]; [2591; 4534]; [4328; 9637]; [2143; 10036]; [2683; 7506]; [9625; 9983]; [4943; 8220]; [7744; 10793]; [1866; 10667]; [4946; 5485]; [2764; 5401]; [3077; 3646]; [6184; 9709]; [5463; 6943]; [8618; 10768]; [3693; 9247]; [4071; 8641]; [1289; 10282]; [678; 6156]; [8145; 11487]; [1082; 6771]; [4285; 6126]; [5615; 7687]; [8254; 11430]; [1881; 4909]; [2473; 2569]; [8780; 10722]; [5674; 8267]; [3181; 3595]; [3277; 10473]; [1599; 5196]; [6566; 8848]; [5989; 6558]; [9709; 10404]; [1808; 2337]; [867; 4523]; [5168; 6594]; [1899; 2455]; [5665; 7400]; [5844; 8863]; [11169; 11257]; [336; 8270]; [5005; 8293]; [3169; 8846]; [2649; 10500]; [615; 11068]; [2081; 5320]; [8772; 10430]; [704; 3189]; [1292; 9775]; [302; 9036]; [8633; 10271]; [295; 2203]; [3218; 5705]; [2137; 11264]; [4033; 11516]; [671; 10596]; [2080; 10730]; [570; 4128]; [1223; 4693]; [4311; 10706]; [2468; 10088]; [9221; 9660]; [2; 7993]; [7388; 7478]; [5117; 5851]; [1869; 2589]; [5550; 11368]; [5142; 7601]; [1219; 4924]; [1430; 9308]; [5380; 9644]; [212; 11371]; [1029; 5177]; [839; 11469]; [5290; 10101]; [1649; 4104]; [9665; 10431]; [3969; 9787]; [4626; 7842]; [4154; 8786]; [2877; 11023]; [570; 3323]; [2500; 8067]; [1502; 9719]; [3584; 6189]; [139; 10684]; [2966; 7308]; [4592; 5979]; [1503; 6911]; [1191; 2852]; [4174; 6405]; [932; 4089]; [3901; 10942]; [8810; 11206]; [5348; 6672]; [2330; 6316]; [9361; 11494]; [7535; 10483]; [1052; 1912]; [3323; 7703]; [1528; 1841]; [10478; 11227]; [519; 2580]; [3285; 8350]; [8023; 10422]; [6521; 10097]; [9640; 11259]; [5430; 9306]; [3437; 11373]; [887; 10331]; [78; 8472]; [2041; 3530]; [4096; 7222]; [6880; 7936]; [1133; 4321]; [6286; 7197]; [3620; 4260]; [7035; 8224]; [3678; 8402]; [1971; 4639]; [1484; 4551]; [3357; 8761]; [5795; 7310]; [895; 4156]; [5170; 7258]; [528; 9058]; [6094; 7377]; [3236; 4270]; [2418; 10993]; [6807; 8747]; [4047; 6929]; [3906; 6724]; [7842; 10360]; [1082; 3201]; [2642; 6914]; [5462; 9537]; [5658; 7197]; [1852; 2853]; [3378; 3572]; [5676; 11186]; [3279; 6976]; [1699; 5240]; [6339; 6777]; [790; 9593]; [5950; 9476]; [358; 3520]; [1497; 7765]; [2042; 5579]; [447; 9227]; [573; 5394]; [4901; 11540]; [3468; 6848]; [3595; 8875]; [2370; 11302]; [8722; 9776]; [4305; 4312]; [1650; 7980]; [2560; 4229]; [2954; 7566]; [8807; 11577]; [2057; 2854]; [6152; 6577]; [2428; 5241]; [4324; 5493]; [7126; 10920]; [7618; 10628]; [6090; 9082]; [2609; 6750]; [6742; 6793]; [4844; 6468]; [7619; 7820]; [2628; 5302]; [1583; 6354]; [1335; 7006]; [3236; 6848]; [7871; 8041]; [636; 1555]; [2005; 4542]; [4995; 10020]; [766; 847]; [2658; 3609]; [7396; 8687]; [3501; 5052]; [5678; 10427]; [480; 10814]; [3276; 5873]; [7598; 8821]; [3243; 9897]; [67; 1785]; [662; 9542]; [5087; 9959]; [6476; 7963]; [8558; 10849]; [4232; 11165]; [2716; 4718]; [3865; 9651]; [4522; 7706]; [2306; 6540]; [6070; 10658]; [4335; 4847]; [5405; 11207]; [2239; 3783]; [4035; 11001]; [10017; 10696]; [3570; 8198]; [712; 10009]; [862; 6570]; [2200; 7992]; [6276; 7501]; [5443; 10910]; [796; 1786]; [2511; 3158]; [84; 2489]; [5815; 9735]; [4843; 6192]; [7735; 8129]; [4094; 7794]; [6772; 11465]; [1481; 2239]; [1293; 9358]; [1107; 5970]; [1043; 2013]; [1160; 3352]; [3981; 6577]; [4951; 9293]; [9865; 9901]; [3027; 7747]; [3335; 5648]; [4202; 5233]; [349; 7459]; [2955; 9564]; [8619; 10670]; [1210; 9481]; [28; 8572]; [5002; 9231]; [3699; 10247]; [989; 7792]; [1711; 10406]; [5495; 6131]; [2164; 5278]; [174; 4610]; [4649; 8554]; [1445; 4810]; [6310; 8909]; [4428; 6111]; [8008; 8422]; [1413; 10190]; [2319; 8949]; [4404; 11352]; [2532; 9996]; [1157; 10944]; [5239; 5737]; [6357; 9105]; [4604; 4997]; [6904; 9274]; [1962; 6618]; [10031; 10297]; [1769; 6977]; [9148; 9455]; [2649; 10931]; [3513; 6835]; [7681; 9316]; [11170; 11509]; [1322; 2501]; [950; 7059]; [1175; 9621]; [392; 8229]; [6837; 8402]; [5438; 8956]; [180; 4374]; [10635; 11350]; [2359; 10576]; [269; 1413]; [1690; 3836]; [8854; 9358]; [166; 3163]; [1281; 2850]; [160; 9764]; [597; 5601]; [2553; 3652]; [5455; 6277]; [4214; 10423]; [1181; 2619]; [7815; 10605]; [2906; 4679]; [222; 1193]; [4232; 8750]; [1744; 4422]; [2210; 10079]; [9367; 10266]; [5444; 10999]; [5697; 9193]; [4570; 7991]; [3608; 11552]; [8501; 11283]; [7601; 9306]; [6939; 10907]; [8155; 10646]; [2665; 10659]; [6127; 8777]; [8743; 10816]; [395; 2060]; [5131; 9721]; [6280; 8238]; [821; 4154]; [1354; 4617]; [4025; 6363]; [3844; 8237]; [2354; 3011]; [1970; 6054]; [4404; 6359]; [2752; 3057]; [4305; 6353]; [38; 3112]; [3281; 6030]; [5917; 6092]; [876; 4211]; [8993; 10590]; [3339; 10172]; [9084; 9954]; [2805; 9484]; [1155; 7009]; [4950; 10440]; [6631; 8818]; [8408; 11068]; [1187; 2760]; [3637; 6604]; [9122; 9657]; [7315; 8696]; [6384; 11570]; [1333; 2585]; [3512; 4623]; [683; 4166]; [449; 7907]; [3912; 8879]; [6620; 8255]; [2786; 4115]; [4800; 6308]; [2217; 11542]; [3805; 6723]; [2936; 4813]; [2492; 7051]; [5539; 6647]; [3433; 8248]; [100; 152]; [3584; 6165]; [1898; 3279]; [3668; 11528]; [492; 3416]; [4736; 11369]; [4385; 9634]; [3664; 7622]; [7619; 9056]; [3130; 6934]; [3694; 9716]; [1915; 3633]; [9149; 10648]; [4094; 9835]; [6716; 10191]; [8235; 10493]; [8667; 10150]; [5151; 9517]; [20; 3956]; [1544; 8766]; [388; 2662]; [7640; 10283]; [763; 1785]; [14; 10557]; [4647; 10923]; [2582; 9172]; [8215; 8713]; [4362; 5277]; [2028; 11215]; [2460; 7462]; [5939; 5961]; [8810; 10027]; [6785; 7675]; [5575; 11134]; [1112; 1565]; [7094; 8430]; [5406; 8881]; [2329; 4912]; [2110; 10466]; [2068; 10240]; [777; 8607]; [3043; 7638]; [3905; 9131]; [1164; 4357]; [6091; 10088]; [74; 6420]; [1352; 7791]; [860; 913]; [6073; 8004]; [942; 9613]; [2652; 6477]; [3275; 3450]; [1498; 10245]; [3; 4675]; [3249; 7864]; [1592; 7628]; [1647; 7335]; [933; 2330]; [8193; 9812]; [4769; 8014]; [8458; 11049]; [7878; 8488]; [154; 1811]; [3972; 6165]; [1365; 4589]; [2170; 3296]; [3747; 11150]; [729; 10794]; [2346; 10877]; [5902; 6378]; [6953; 10776]; [4157; 6295]; [1788; 4133]; [5173; 5222]; [2189; 7860]; [358; 8757]; [281; 6847]; [2774; 4349]; [3147; 3399]; [9662; 9973]; [1068; 4194]; [7852; 9495]; [5352; 10822]; [7315; 11542]; [1086; 4019]; [2773; 10513]; [3950; 11078]; [2295; 7505]; [5789; 7790]; [1215; 10256]; [560; 11493]; [2017; 8665]; [8046; 8206]; [1984; 6273]; [1387; 8269]; [1728; 2146]; [3510; 11156]; [3346; 10001]; [1259; 6771]; [1753; 3142]; [1637; 5411]; [3989; 9878]; [4054; 11027]; [4682; 8344]; [4738; 10905]; [3248; 5679]; [1128; 6473]; [6821; 10983]; [9446; 10856]; [4245; 4556]; [2896; 5227]; [2056; 7465]; [7124; 7759]; [1933; 2147]; [1807; 10144]; [597; 7187]; [6937; 11316]; [8742; 9198]; [58; 6155]; [3738; 5664]; [3889; 9997]; [308; 10467]; [144; 9312]; [7308; 9916]; [1336; 4493]; [6243; 10346]; [1379; 6849]; [2294; 3442]; [4744; 7286]; [1416; 5950]; [2037; 8512]; [1286; 10041]; [2062; 10262]; [5618; 11425]; [2435; 8558]; [5856; 7052]; [6470; 9197]; [4176; 8118]; [1588; 10756]; [3465; 6794]; [1027; 8999]; [3737; 5038]; [4487; 9700]; [2083; 4319]; [4018; 10161]; [3612; 9473]; [4908; 5034]; [650; 3010]; [1202; 3523]; [8020; 8408]; [10105; 10811]; [5776; 7446]; [6746; 7910]; [84; 3538]; [9607; 10534]; [2816; 8226]; [1331; 3344]; [3282; 3303]; [1910; 5680]; [2997; 9735]; [1822; 3581]; [440; 8276]; [5388; 7714]; [2616; 3627]; [513; 618]; [6294; 6473]; [2402; 9525]; [5022; 9054]; [1696; 4381]; [4982; 5491]; [2611; 6666]; [8337; 9404]; [3115; 4479]; [4541; 5748]; [3773; 10306]; [1718; 9243]; [4447; 5332]; [6656; 10245]; [10171; 11407]; [376; 505]; [2330; 4145]; [1304; 7913]; [2585; 8047]; [7082; 9306]; [5320; 5836]; [3505; 5014]; [4685; 5096]; [5149; 9926]; [4120; 9259]; [390; 4725]; [5577; 6431]; [8608; 11156]; [3658; 4475]; [2417; 6369]; [8814; 11032]; [7174; 9245]; [1787; 5973]; [1531; 1846]; [1351; 6574]; [6351; 8454]; [6669; 7797]; [4521; 10707]; [1058; 3319]; [438; 10027]; [780; 6758]; [7339; 10251]; [5105; 6971]; [1617; 8386]; [7528; 9369]; [3918; 9101]; [1046; 8570]; [3229; 11508]; [7362; 7387]; [2729; 10404]; [9263; 11366]; [6183; 7126]; [1312; 3212]; [6831; 8101]; [606; 4484]; [1853; 3536]; [1727; 11533]; [7789; 7804]; [1161; 2262]; [842; 9864]; [7411; 7629]; [3020; 6796]; [1564; 6816]; [1464; 9618]; [6008; 11447]; [4674; 10144]; [8065; 9550]; [4538; 6873]; [8058; 8379]; [6824; 7280]; [5165; 6971]; [55; 6451]; [2429; 2541]; [927; 2216]; [2984; 7489]; [1585; 8043]; [10100; 11085]; [3639; 8881]; [2641; 10533]; [0; 5963]; [1855; 3208]; [10633; 11548]; [8262; 8559]; [2787; 10358]; [3322; 7484]; [9110; 10346]; [1948; 9034]; [1129; 6487]; [3346; 9009]; [734; 9341]; [923; 5830]; [3520; 9347]; [590; 8838]; [3088; 7438]; [8592; 11295]; [8686; 10176]; [2771; 5287]; [935; 5840]; [1277; 2571]; [4205; 6417]; [1526; 9691]; [4102; 9702]; [998; 3156]; [4606; 7515]; [3614; 3697]; [6162; 8076]; [155; 11512]; [5170; 6510]; [5310; 5766]; [1760; 2516]; [5020; 11073]; [6271; 8369]; [6584; 6614]; [5765; 9729]; [2780; 5349]; [1661; 1756]; [1721; 2561]; [8011; 10737]; [9972; 11384]; [753; 9717]; [5163; 8348]; [1040; 8993]; [1618; 8475]; [10341; 10692]; [4517; 7419]; [6476; 11403]; [4637; 6023]; [5946; 8205]; [5077; 5541]; [4788; 5438]; [1179; 8778]; [5227; 6239]; [2457; 2979]; [1201; 6093]; [2923; 4472]; [5039; 6188]; [6441; 9315]; [2878; 11145]; [8275; 8689]; [92; 3942]; [646; 5282]; [4536; 5567]; [3823; 9832]; [7646; 11147]; [2696; 8630]; [1325; 4816]; [2159; 4261]; [4562; 10171]; [577; 4364]; [3570; 8605]; [2655; 5596]; [5337; 6003]; [288; 9896]; [7008; 7076]; [2534; 10904]; [4170; 9539]; [5104; 10346]; [7155; 7503]; [2965; 6926]; [2979; 4380]; [4108; 4874]; [1921; 4446]; [515; 7993]; [425; 11483]; [206; 10621]; [3227; 10494]; [618; 2429]; [448; 3738]; [2908; 6018]; [2345; 6844]; [8950; 10682]; [1018; 3302]; [4270; 5582]; [223; 4559]; [3655; 10382]; [4873; 6784]; [4641; 7215]; [4395; 4530]; [6079; 6589]; [798; 10883]; [3159; 6768]; [5886; 6194]; [1538; 2025]; [8104; 11570]; [9095; 9501]; [3388; 4561]; [2149; 3118]; [6127; 6256]; [2362; 10581]; [3900; 7153]; [5535; 8596]; [2811; 8687]; [6340; 7303]; [4720; 6168]; [8620; 9393]; [1836; 1840]; [2039; 2199]; [1799; 9128]; [5940; 6780]; [7369; 7566]; [1366; 2830]; [3852; 9741]; [6467; 8926]; [261; 9523]; [2475; 8364]; [3008; 8827]; [1852; 2723]; [1511; 8846]; [1826; 7918]; [2326; 8241]; [2963; 4920]; [5301; 5517]; [5457; 6030]; [1728; 10766]; [570; 1583]; [6509; 11030]; [4336; 6528]; [1681; 10196]; [9034; 11453]; [6611; 8274]; [689; 2214]; [6939; 7581]; [4131; 8001]; [1863; 2481]; [2339; 8072]; [6286; 9645]; [92; 1177]; [904; 1055]; [1370; 1794]; [9176; 10755]; [5848; 9419]; [4188; 11137]; [1144; 9560]; [4119; 6836]; [1598; 7286]; [3254; 11461]; [5523; 10009]; [3780; 10753]; [2880; 8776]; [10122; 11545]; [1758; 7918]; [1844; 6938]; [1909; 8087]; [6427; 7941]; [2747; 2770]; [9288; 10565]; [2408; 3304]; [2411; 6985]; [3772; 10111]; [3560; 5502]; [2464; 5865]; [1008; 10803]; [9433; 10919]; [6654; 9825]; [351; 11213]; [2839; 9125]; [2144; 7580]; [3476; 5804]; [7402; 7998]; [2369; 10142]; [716; 3232]; [870; 7082]; [6212; 6447]; [1919; 1985]; [4721; 7412]; [10949; 11300]; [2728; 7981]; [9295; 10581]; [4436; 8182]; [647; 7949]; [3570; 11451]; [5929; 6509]; [1018; 3920]; [3060; 3243]; [515; 2545]; [7108; 7120]; [8143; 8733]; [1875; 2036]; [5892; 10764]; [658; 8488]; [5707; 7978]; [475; 3119]; [2586; 4491]; [939; 7195]; [6624; 7680]; [5225; 8234]; [4242; 10918]; [2432; 4024]; [4295; 7546]; [255; 4284]; [6636; 8414]; [3236; 11174]; [929; 3474]; [4910; 6129]; [3264; 3773]; [2259; 10670]; [275; 8319]; [557; 11415]; [7995; 11090]; [5445; 6638]; [708; 11584]; [173; 1626]; [1260; 5681]; [2535; 2617]; [7992; 10792]; [9451; 10289]; [1758; 9341]; [8700; 9566]; [2848; 4245]; [3161; 9660]; [907; 11420]; [1998; 6549]; [9251; 10608]; [7609; 7994]; [5424; 7639]; [4137; 9188]; [2241; 2520]; [658; 1267]; [9162; 10536]; [2372; 11082]; [7995; 9935]; [4796; 11453]; [1716; 9465]; [2487; 9342]; [4754; 11227]; [1619; 3870]; [6966; 9241]; [2823; 8510]; [9077; 10613]; [1303; 10989]; [4156; 7336]; [3225; 3794]; [5659; 6351]; [772; 8320]; [9698; 10142]; [6453; 10561]; [6218; 11418]; [392; 11482]; [517; 10430]; [2651; 2926]; [2224; 7777]; [4402; 6207]; [2103; 9702]; [5680; 7578]; [3204; 4795]; [8162; 11337]; [3800; 4826]; [3643; 11258]; [8868; 9284]; [9184; 11210]; [970; 4898]; [2559; 10103]; [8557; 11085]; [2492; 8881]; [5412; 8702]; [985; 1796]; [1766; 2361]; [145; 4034]; [5315; 8769]; [2354; 8947]; [769; 6867]; [10457; 11456]; [620; 10908]; [8340; 9515]; [6829; 9104]; [1362; 10764]; [1574; 2541]; [549; 9163]; [1106; 10020]; [1628; 5406]; [2003; 5283]; [5630; 6686]; [2969; 10509]; [3308; 10729]; [8444; 9464]; [4058; 8975]; [5598; 7148]; [467; 8757]; [3635; 6428]; [3328; 11381]; [3615; 8405]; [1588; 9390]; [1359; 10092]; [7377; 10198]; [9835; 10897]; [1890; 3312]; [5728; 9823]; [589; 991]; [9864; 10137]; [2732; 10946]; [2732; 4530]; [7059; 7822]; [2515; 6747]; [1288; 8347]; [2263; 11407]; [895; 5612]; [3164; 10576]; [6709; 7416]; [6671; 10342]; [6571; 6728]; [4683; 11255]; [1655; 10211]; [3333; 7537]; [2371; 8846]; [6164; 11450]; [4165; 8067]; [689; 6833]; [4231; 9818]; [62; 3702]; [120; 1428]; [1152; 5022]; [2257; 4021]; [1572; 3918]; [3445; 8128]; [931; 9749]; [23; 1495]; [3424; 8005]; [1679; 7922]; [5194; 9084]; [1163; 2178]; [6348; 7945]; [1049; 5274]; [2790; 10119]; [2912; 8796]; [6145; 6862]; [8519; 10122]; [1427; 3914]; [8954; 9296]; [5176; 7000]; [298; 6803]; [3092; 7451]; [1225; 6439]; [2505; 4473]; [5402; 6754]; [6828; 10275]; [4500; 8114]; [1599; 8343]; [5771; 7560]; [1626; 10166]; [3463; 6805]; [2186; 9042]; [7819; 8583]; [56; 2732]; [2774; 2796]; [437; 11469]; [2402; 7354]; [6970; 9577]; [866; 1783]; [2985; 9432]; [1058; 8369]; [9399; 9538]; [8401; 11190]; [5412; 9320]; [2153; 10033]; [3669; 10064]; [10241; 11510]; [3047; 7277]; [626; 4925]; [5314; 9916]; [4978; 9967]; [10735; 11264]; [7113; 9481]; [3107; 11465]; [2608; 7580]; [237; 4591]; [7246; 8290]; [2630; 4895]; [2719; 10602]; [2416; 10793]; [3464; 8504]; [4458; 10116]; [81; 1045]; [831; 2297]; [4473; 11148]; [4781; 9803]; [1825; 3155]; [2965; 4592]; [2567; 7929]; [6113; 10656]; [5082; 9916]; [4115; 10127]; [3554; 7616]; [3617; 5686]; [1273; 4520]; [8127; 11314]; [2730; 8108]; [1; 4849]; [4455; 10168]; [56; 5310]; [703; 2677]; [155; 10951]; [7244; 10472]; [556; 5633]; [1767; 11444]; [561; 10141]; [900; 3191]; [3106; 3669]; [4530; 11281]; [4910; 10748]; [1737; 6317]; [6491; 8922]; [6301; 8798]; [2292; 4849]; [3761; 9198]; [3873; 9439]; [3940; 10661]; [1911; 11573]; [7239; 10478]; [9880; 10884]; [2631; 7698]; [5616; 5662]; [6982; 9132]; [4150; 4994]; [1481; 8956]; [6261; 6366]; [1131; 10829]; [6539; 8562]; [422; 6168]; [5921; 9681]; [10996; 11146]; [6974; 11119]; [4755; 6272]; [811; 6128]; [7430; 9672]; [4021; 9660]; [1826; 2201]; [5602; 7834]; [2541; 10814]; [627; 9956]; [8624; 11315]; [6959; 7054]; [744; 1873]; [3515; 7987]; [2850; 8536]; [5811; 8358]; [1136; 10772]; [1914; 4650]; [666; 5373]; [5748; 8009]; [1383; 1981]; [734; 3787]; [4655; 5637]; [3404; 9095]; [6864; 10550]; [7757; 11356]; [6396; 8230]; [6110; 8398]; [7; 9874]; [1975; 5276]; [5881; 6094]; [137; 9166]; [5142; 9138]; [3142; 8536]; [2243; 9413]; [6040; 7255]; [2994; 4851]; [5733; 5792]; [5752; 10006]; [3888; 8511]; [3659; 6961]; [4603; 8456]; [7065; 7399]; [1265; 8684]; [4687; 7403]; [2068; 10728]; [3472; 4102]; [3229; 10760]; [2730; 3465]; [610; 10675]; [5306; 6105]; [2971; 9189]; [4523; 5467]; [1515; 9963]; [980; 6421]; [1441; 6816]; [1343; 4029]; [3378; 7069]; [5608; 6443]; [658; 10342]; [690; 6093]; [7083; 7574]; [6070; 8194]; [2183; 5174]; [151; 5815]; [2654; 4005]; [1864; 6360]; [7980; 9253]; [3708; 5668]; [7094; 11146]; [1650; 8094]; [2243; 8608]; [8714; 9248]; [1307; 4722]; [2494; 10139]; [5104; 8980]; [7802; 9920]; [6902; 7943]; [3390; 4046]; [3018; 8604]; [371; 10635]; [4163; 10385]; [1047; 6488]; [2348; 2393]; [3471; 6105]; [1729; 6293]; [9662; 10111]; [8201; 9787]; [1578; 9507]; [663; 6498]; [232; 7443]; [7611; 9921]; [4082; 10581]; [4216; 7363]; [161; 2315]; [2206; 5319]; [3711; 5915]; [3862; 6084]; [3681; 7204]; [3077; 8029]; [4269; 7374]; [10841; 11072]; [5294; 10551]; [8928; 8961]; [2856; 6340]; [6655; 7261]; [4385; 10740]; [8776; 9321]; [374; 3712]; [4010; 6332]; [800; 2773]; [703; 9256]; [7487; 10393]; [142; 329]; [3503; 7440]; [2524; 6890]; [7733; 10799]; [7038; 9254]; [2177; 6028]; [1786; 6372]; [11490; 11494]; [2275; 2399]; [1068; 3877]; [5173; 8288]; [4015; 5521]; [7287; 9931]; [3916; 4761]; [318; 1844]; [6997; 9603]; [2078; 2235]; [2976; 3385]; [1389; 11058]; [3199; 5874]; [6499; 9326]; [4134; 9535]; [118; 8579]; [666; 5186]; [2445; 4099]; [3619; 4366]; [2776; 2923]; [8577; 10908]; [4362; 8611]; [10910; 11161]; [793; 10596]; [160; 10683]; [1255; 5931]; [743; 3312]; [772; 8214]; [1931; 11583]; [2948; 4319]; [2106; 9894]; [7307; 9778]; [1113; 5474]; [10863; 10941]; [2267; 10751]; [10132; 10493]; [4765; 9351]; [3201; 11558]; [5095; 10983]; [8018; 8069]; [2235; 9715]; [7579; 11405]; [6097; 10204]; [3498; 8519]; [5394; 8017]; [8323; 9055]; [3455; 8822]; [3238; 3869]; [4829; 9901]; [3213; 5502]; [2215; 7154]; [284; 10853]; [1034; 9853]; [5576; 7849]; [5719; 10409]; [435; 8770]; [3673; 7180]; [1667; 2626]; [1960; 2848]; [2242; 2534]; [2861; 10685]; [8981; 10344]; [3542; 11046]; [10165; 11299]; [2968; 7549]; [7492; 11355]; [426; 706]; [1606; 4952]; [3686; 7011]; [4178; 7473]; [5590; 11288]; [4054; 5717]; [1512; 10952]; [3472; 6493]; [3255; 7956]; [5891; 8018]; [2312; 9315]; [9807; 10278]; [1536; 2678]; [5273; 9137]; [6732; 8634]; [1968; 3089]; [1752; 8160]; [2521; 6456]; [1072; 8401]; [688; 10690]; [147; 7333]; [2110; 8807]; [2048; 7929]; [8997; 11577]; [4111; 6601]; [1187; 9290]; [1982; 3145]; [268; 8791]; [8242; 9200]; [2103; 11019]; [6741; 9477]; [3666; 8587]; [8024; 11192]; [5242; 6417]; [4777; 10784]; [5966; 6448]; [675; 3638]; [4095; 7946]; [7111; 7475]; [6113; 9127]; [8518; 10946]; [3995; 4332]; [3248; 9013]; [5128; 8732]; [2124; 5830]; [3130; 8203]; [7607; 8810]; [1757; 10732]; [7266; 8517]; [3159; 7443]; [2746; 11246]; [4339; 7525]; [9843; 11382]; [4795; 5324]; [2597; 4707]; [2815; 6098]; [7693; 11213]; [9100; 10520]; [6452; 8943]; [8191; 8457]; [1902; 7299]; [1081; 3171]; [1394; 2170]; [9544; 10187]; [143; 2622]; [3632; 4815]; [7778; 9981]; [8215; 9982]; [1419; 3166]; [6028; 9554]; [1955; 9562]; [85; 2617]; [6645; 8210]; [430; 6035]; [6808; 9894]; [6185; 6505]; [6123; 9791]; [2001; 3521]; [11071; 11481]; [5524; 10960]; [3003; 11410]; [786; 10019]; [628; 2263]; [5020; 5950]; [7143; 9591]; [8918; 11014]; [5396; 8681]; [4248; 10766]; [4000; 7254]; [4709; 5499]; [1501; 9183]; [7815; 11337]; [1175; 9198]; [3668; 7454]; [3138; 4256]; [4550; 8071]; [8003; 8355]; [2430; 2449]; [4202; 10771]; [6406; 11176]; [6812; 9612]; [300; 2555]; [7469; 7667]; [5325; 10319]; [3733; 4816]; [1983; 4389]; [8765; 9617]; [10597; 11574]; [332; 8105]; [5595; 8867]; [7269; 10238]; [1364; 6037]; [2702; 7459]; [4372; 4924]; [3777; 11130]; [38; 10260]; [1067; 1505]; [5514; 9817]; [6068; 6993]; [3770; 6926]; [3636; 3728]; [5351; 11516]; [5320; 5787]; [10703; 11569]; [710; 6344]; [717; 1099]; [274; 529]; [7056; 11419]; [2954; 10689]; [583; 7700]; [8520; 9008]; [1980; 6319]; [2202; 9364]; [4812; 8205]; [667; 6647]; [1300; 4308]; [2594; 5458]; [5028; 8769]; [5224; 6429]; [1823; 9718]; [486; 4734]; [4023; 9627]; [5797; 8196]; [296; 4610]; [5208; 10807]; [731; 4538]; [4019; 6475]; [4677; 8138]; [1621; 8456]; [506; 3107]; [1223; 7629]; [965; 9091]; [4492; 5352]; [1940; 10653]; [3115; 10391]; [4445; 5536]; [10604; 10785]; [158; 11442]; [2455; 11284]; [9466; 10148]; [5347; 6805]; [173; 5334]; [1401; 6588]; [3476; 9057]; [4792; 5994]; [704; 4970]; [919; 2680]; [2204; 4468]; [3236; 8816]; [829; 3918]; [4027; 9345]; [1764; 8333]; [2918; 7194]; [6678; 7406]; [986; 10668]; [6979; 9054]; [1782; 5125]; [7671; 9547]; [4798; 5408]; [3932; 6425]; [100; 9528]; [1554; 2265]; [1810; 4140]; [7847; 10712]; [6913; 7653]; [6500; 11456]; [218; 5053]; [4118; 9032]; [396; 9297]; [3954; 7123]; [2773; 9822]; [5318; 7514]; [1679; 4596]; [4253; 7944]; [10085; 11078]; [613; 11217]; [5718; 8387]; [3047; 5106]; [2388; 6224]; [1388; 11213]; [2322; 7856]; [4867; 6302]; [853; 1255]; [1479; 4161]; [5706; 10255]; [5155; 6180]; [2004; 6234]; [6392; 10933]; [8200; 8332]; [2371; 4715]; [4588; 7237]; [3583; 7718]; [95; 1963]; [1528; 6655]; [4986; 7283]; [9836; 10350]; [6842; 8136]; [1578; 9401]; [5377; 10322]; [3424; 10290]; [1452; 4566]; [1176; 2416]; [9355; 10427]; [237; 11064]; [6770; 8418]; [5748; 9676]; [729; 11526]; [1921; 6707]; [2196; 2216]; [9229; 10473]; [74; 6347]; [1657; 8354]; [3706; 8848]; [9010; 9611]; [3740; 7678]; [3252; 8089]; [1124; 4858]; [159; 11531]; [5799; 5827]; [4412; 10178]; [3357; 10542]; [6311; 6941]; [4728; 5688]; [773; 9889]; [5444; 10739]; [3163; 4260]; [81; 6363]; [1894; 11276]; [994; 2883]; [794; 7733]; [3385; 6524]; [953; 3259]; [886; 2037]; [6980; 9143]; [397; 1846]; [1534; 9428]; [388; 4012]; [5300; 10209]; [202; 4788]; [8359; 10566]; [3841; 4296]; [3065; 4075]; [3937; 4004]; [1908; 11332]; [5017; 11052]; [537; 1102]; [1352; 6913]; [3220; 4363]; [1850; 10573]; [166; 2098]; [1910; 8372]; [3431; 9501]; [3488; 3619]; [561; 9043]; [444; 1288]; [1474; 11225]; [999; 6236]; [2169; 5630]; [1057; 5460]; [723; 6338]; [3236; 5246]; [1180; 1329]; [1649; 6503]; [1166; 3151]; [5431; 5565]; [7645; 10822]; [81; 5558]; [1428; 4814]; [893; 1272]; [7897; 11043]; [772; 3197]; [1795; 9711]; [2383; 9881]; [480; 9212]; [8071; 9883]; [1282; 6867]; [2252; 8085]; [258; 882]; [8095; 11408]; [297; 6472]; [1782; 4938]; [92; 5316]; [2832; 9865]; [1650; 8956]; [2025; 8079]; [6944; 9031]; [719; 3162]; [342; 2458]; [505; 10558]; [4941; 8158]; [6314; 8635]; [3741; 5889]; [3509; 6320]; [1234; 10209]; [9859; 11137]; [2491; 10703]; [4819; 6448]; [2458; 8311]; [10137; 11081]; [1618; 10549]; [4199; 4488]; [732; 6026]; [11105; 11472]; [336; 6026]; [1576; 10323]; [2018; 11422]; [4972; 10073]; [1634; 8049]; [5336; 11289]; [2036; 5585]; [3971; 5011]; [1593; 11431]; [289; 2423]; [4435; 9087]; [3869; 3980]; [5491; 11577]; [4798; 7449]; [694; 10056]; [6414; 8061]; [6047; 6547]; [1249; 7053]; [2114; 3559]; [8526; 10008]; [3044; 3466]; [3198; 7316]; [2387; 8794]; [1009; 3809]; [1110; 11031]; [1265; 1520]; [5468; 7220]; [3842; 4385]; [2379; 7398]; [1422; 9051]; [1314; 1412]; [18; 3599]; [195; 4235]; [2127; 4144]; [5550; 7969]; [5424; 9550]; [978; 9010]; [6552; 7190]; [4047; 8173]; [1569; 8697]; [2173; 2984]; [1068; 4739]; [648; 5873]; [8901; 11359]; [7373; 9813]; [1343; 10047]; [4536; 8714]; [152; 4888]; [5286; 9966]; [1335; 9405]; [8611; 11004]; [5228; 9207]; [5247; 7005]; [923; 10400]; [5250; 11440]; [5398; 7174]; [7853; 9110]; [3257; 7091]; [4618; 10217]; [7543; 8130]; [4318; 9925]; [2004; 7470]; [3468; 5059]; [135; 9795]; [943; 8019]; [4869; 10967]; [3124; 10884]; [199; 4303]; [288; 10010]; [5321; 5614]; [8321; 11026]; [4202; 8437]; [876; 3764]; [1490; 5155]; [3551; 7164]; [2713; 6065]; [6481; 7673]; [4291; 7728]; [3182; 4823]; [3307; 10187]; [1184; 5048]; [211; 7696]; [25; 11478]; [8624; 11185]; [4944; 5260]; [1833; 2461]; [7278; 9121]; [1791; 8651]; [675; 3077]; [1144; 8251]; [8575; 10919]; [1846; 5325]; [1631; 1953]; [2785; 7230]; [350; 6700]; [1418; 10705]; [3875; 8550]; [1690; 1779]; [4618; 6379]; [3116; 10218]; [4217; 5281]; [4991; 11091]; [6890; 8608]; [3956; 4193]; [2278; 6086]; [2990; 10264]; [4953; 5322]; [2950; 4449]; [1838; 5033]; [9367; 11242]; [403; 3678]; [4262; 4650]; [360; 598]; [544; 3159]; [7311; 10708]; [4840; 9767]; [3883; 11420]; [661; 711]; [6082; 9229]; [662; 3565]; [3000; 4916]; [1327; 6399]; [5993; 9157]; [7760; 10719]; [2445; 9767]; [9468; 10920]; [6174; 9168]; [9566; 11428]; [1120; 5547]; [903; 7010]; [1157; 10310]; [2675; 4752]; [6604; 11381]; [2029; 4577]; [434; 4438]; [1213; 8340]; [4884; 10015]; [2040; 10778]; [4249; 9275]; [610; 6357]; [6217; 11093]; [1420; 11070]; [1260; 7405]; [10045; 10500]; [4561; 8049]; [3136; 9634]; [1386; 9207]; [3932; 10507]; [539; 4612]; [3997; 5240]; [6025; 11273]; [1574; 6225]; [1559; 4439]; [2568; 7083]; [2085; 3731]; [4173; 10569]; [4078; 7299]; [4210; 8916]; [4740; 5698]; [3584; 3758]; [6817; 8240]; [7262; 8856]; [7876; 10247]; [963; 7010]; [2073; 8982]; [2011; 8104]; [4232; 8116]; [239; 3946]; [6651; 9641]; [7489; 10740]; [4982; 8614]; [548; 11117]; [2666; 3834]; [2830; 8372]; [6092; 11340]; [8363; 10715]; [3165; 10348]; [2344; 4722]; [6273; 6433]; [4587; 8465]; [208; 4983]; [1106; 6133]; [2028; 5425]; [2659; 9429]; [2012; 4892]; [754; 4927]; [4372; 9974]; [4515; 9528]; [7163; 8072]; [1709; 4332]; [1464; 10163]; [968; 6549]; [1145; 11349]; [3954; 7367]; [862; 8782]; [8869; 10829]; [371; 5512]; [7869; 9402]; [89; 164]; [3442; 8912]; [3194; 11062]; [3290; 5108]; [1722; 10579]; [387; 2258]; [2845; 7875]; [1014; 8772]; [5938; 10068]; [9238; 9356]; [331; 9496]; [4837; 7835]; [4808; 6316]; [3495; 8896]; [10028; 10414]; [3185; 7916]; [222; 11431]; [5361; 9683]; [9492; 9653]; [2408; 8224]; [1026; 5749]; [3329; 7291]; [5569; 7353]; [4161; 4411]; [2330; 5308]; [4252; 10191]; [5941; 6178]; [3174; 9605]; [2761; 7746]; [4096; 8897]; [2888; 6767]; [2456; 7110]; [329; 10897]; [2421; 8055]; [3164; 5884]; [3625; 6279]; [3974; 4935]; [3683; 10421]; [7394; 9243]; [1291; 6555]; [6831; 10069]; [2437; 5555]; [360; 7177]; [1413; 5986]; [1323; 3060]; [1805; 2080]; [2067; 10159]; [4646; 7435]; [3777; 4771]; [8561; 10968]; [1281; 6217]; [2833; 5905]; [2707; 7486]; [7180; 9849]; [1029; 2209]; [8628; 9911]; [832; 5078]; [765; 3856]; [4132; 5120]; [305; 8567]; [3474; 9092]; [7859; 9356]; [4127; 7405]; [4851; 7436]; [1178; 8317]; [4370; 10546]; [2252; 5751]; [2152; 8553]; [1883; 3410]; [1974; 2774]; [8231; 11564]; [4960; 10762]; [5196; 7097]; [10; 1829]; [6603; 10568]; [6360; 6646]; [3392; 9817]; [4820; 7749]; [129; 8876]; [10373; 11468]; [1600; 3472]; [1404; 4314]; [7477; 10543]; [806; 8337]; [6279; 10629]; [6597; 9218]; [8935; 9815]; [2708; 9535]; [7245; 10193]; [3642; 6932]; [1362; 9723]; [123; 6028]; [3853; 11316]; [204; 540]; [9080; 10169]; [6000; 8181]; [7798; 11308]; [2383; 6742]; [4597; 5583]; [729; 6777]; [543; 3389]; [4691; 9382]; [742; 11146]; [6019; 9362]; [2779; 10125]; [1540; 8682]; [7608; 8151]; [199; 6962]; [75; 5206]; [4839; 8499]; [7640; 11072]; [7079; 8561]; [7172; 8752]; [391; 7132]; [7067; 11210]; [878; 7250]; [8002; 8455]; [1814; 8103]; [4326; 5655]; [962; 2410]; [1001; 8754]; [903; 5213]; [4803; 9192]; [6730; 8003]; [5102; 9259]; [2389; 3123]; [2961; 9176]; [4446; 7642]; [1025; 10279]; [459; 7424]; [3819; 4511]; [517; 10812]; [8248; 11463]; [575; 2122]; [6488; 10348]; [3664; 10989]; [1207; 8980]; [858; 1656]; [1324; 3149]; [1981; 5368]; [6210; 8125]; [5432; 11241]; [5466; 10825]; [6149; 7849]; [9729; 10160]; [660; 7306]; [8700; 9493]; [4524; 6370]; [1372; 2816]; [4212; 10979]; [1535; 4500]; [2063; 6871]; [5452; 9614]; [844; 6080]; [5008; 5436]; [3616; 3751]; [4701; 4727]; [341; 5459]; [1686; 8052]; [5725; 7679]; [1238; 7138]; [2616; 4953]; [5821; 8141]; [5413; 10036]; [1265; 4797]; [2980; 6169]; [2733; 9675]; [8015; 8235]; [5831; 11488]; [3403; 7965]; [7365; 9816]; [5703; 5826]; [8256; 10549]; [6895; 7423]; [4372; 11210]; [4652; 7063]; [326; 7379]; [6257; 10549]; [639; 5624]; [3647; 5292]; [2927; 8386]; [2361; 3279]; [160; 9561]; [2873; 5117]; [3238; 3552]; [5006; 10974]; [5037; 10287]; [8722; 9386]; [6036; 11489]; [3331; 9378]; [2641; 8931]; [2698; 8684]; [1328; 2062]; [1675; 5553]; [2878; 5087]; [1800; 4501]; [4459; 9650]; [75; 5824]; [176; 5876]; [9130; 10500]; [5928; 7583]; [2721; 4322]; [8856; 11429]; [3989; 4251]; [7079; 9179]; [518; 9777]; [5391; 9630]; [3894; 7397]; [7013; 8559]; [8482; 8744]; [7236; 10294]; [7159; 8384]; [779; 7108]; [1314; 4234]; [9715; 10372]; [243; 4095]; [8780; 9340]; [1904; 10866]; [400; 1046]; [778; 10266]; [5570; 5781]; [3455; 11083]; [8147; 8646]; [11049; 11271]; [4817; 10647]; [1450; 2967]; [1678; 11462]; [5224; 8527]; [1368; 11236]; [1645; 9070]; [4072; 8958]; [4337; 10195]; [3944; 7460]; [3228; 8044]; [613; 2443]; [3868; 8404]; [573; 3044]; [2725; 6669]; [6077; 6901]; [2632; 10642]; [4898; 5509]; [2183; 2710]; [4090; 4252]; [5640; 9529]; [783; 3793]; [1288; 8624]; [3616; 4369]; [5197; 8959]; [2549; 7382]; [215; 1242]; [4380; 5704]; [686; 827]; [9961; 9973]; [4918; 6511]; [4176; 5874]; [8565; 10044]; [864; 11487]; [9052; 10162]; [8484; 10644]; [2849; 8024]; [2007; 9435]; [3545; 6007]; [1953; 6920]; [19; 10348]; [3534; 5094]; [4844; 10884]; [8472; 9479]; [8284; 9428]; [3504; 5602]; [6305; 8175]; [2650; 10416]; [3092; 4345]; [2242; 8901]; [559; 3280]; [877; 1869]; [4956; 5059]; [3775; 7758]; [587; 2295]; [896; 3050]; [1823; 3440]; [6406; 10859]; [489; 10805]; [241; 11457]; [862; 7603]; [8575; 9203]; [3607; 6080]; [5133; 6799]; [2413; 3656]; [2941; 10191]; [3063; 4704]; [898; 6479]; [3164; 5510]; [5528; 7328]; [6266; 10475]; [1911; 5889]; [3067; 5577]; [9322; 11288]; [547; 2465]; [5300; 7851]; [1215; 4092]; [306; 2029]; [3495; 11100]; [4692; 5901]; [5483; 7154]; [2479; 4252]; [775; 4170]; [2726; 4129]; [1774; 6126]; [9418; 9841]; [3170; 10936]; [4037; 4105]; [9451; 11452]; [5833; 7159]; [3470; 8195]; [5808; 8792]; [3748; 7385]; [1191; 5926]; [4217; 6143]; [2524; 7004]; [8697; 10431]; [1257; 9929]; [4767; 10747]; [3889; 10249]; [4171; 9181]; [1155; 3236]; [11201; 11505]; [1746; 9339]; [4788; 7837]; [1837; 9457]; [3112; 4141]; [5598; 6888]; [7399; 10286]; [4172; 9002]; [3797; 7627]; [526; 9077]; [5132; 5368]; [7408; 11503]; [1548; 6321]; [9359; 10708]; [6766; 7340]; [5367; 7894]; [3825; 8894]; [8739; 9502]; [401; 680]; [2534; 6537]; [3571; 11229]; [3905; 10351]; [760; 7968]; [1169; 6675]; [4708; 5979]; [9969; 10078]; [3282; 8093]; [818; 1907]; [346; 9267]; [1559; 9489]; [9007; 10606]; [4802; 8243]; [5860; 11560]; [5232; 7827]; [189; 9283]; [1723; 7611]; [2145; 3170]; [3110; 5542]; [1905; 7093]; [6290; 8111]; [6818; 10482]; [3893; 10317]; [963; 5644]; [1581; 3771]; [685; 2667]; [2333; 2817]; [3081; 7406]; [3984; 8900]; [1742; 8011]; [6874; 10010]; [7798; 10129]; [2603; 7781]; [2878; 3290]; [1972; 7914]; [660; 10315]; [1532; 10244]; [1517; 2042]; [2117; 6733]; [9121; 10088]; [315; 10280]; [4396; 10133]; [6349; 10919]; [843; 6235]; [2463; 10753]; [5660; 6910]; [969; 8037]; [1236; 5937]; [554; 9515]; [2069; 2905]; [2382; 8320]; [2113; 9593]; [267; 9458]; [5155; 8091]; [955; 6826]; [1268; 5071]; [170; 9525]; [6030; 8291]; [9951; 10141]; [2291; 11585]; [1635; 9968]; [135; 4054]; [7300; 8266]; [5619; 9888]; [1435; 2740]; [1066; 10979]; [2623; 6847]; [3428; 5554]; [8259; 10823]; [4646; 6874]; [1633; 6108]; [532; 4629]; [2390; 7807]; [3303; 9989]; [2209; 5517]; [5626; 9554]; [309; 1359]; [405; 8237]; [5783; 7259]; [1736; 6236]; [1171; 10399]; [4785; 11540]; [1483; 5009]; [8078; 8159]; [142; 9705]; [2499; 8100]; [3228; 8475]; [10501; 10557]; [1077; 1288]; [4433; 8055]; [3681; 5976]; [4494; 4544]; [380; 8715]; [1939; 3912]; [6228; 10130]; [406; 1268]; [2304; 7982]; [9931; 10562]; [967; 2998]; [3771; 5088]; [3948; 10642]; [8404; 9618]; [3858; 7716]; [1640; 11385]; [6776; 10874]; [1270; 6190]; [642; 6621]; [1419; 9696]; [4251; 7418]; [8208; 8925]; [4748; 8224]; [3538; 9431]; [5181; 10735]; [5788; 10181]; [334; 5687]; [580; 2710]; [3878; 5335]; [5987; 6634]; [2569; 6536]; [3369; 6397]; [416; 4938]; [4958; 9350]; [1935; 8650]; [1596; 2768]; [790; 10252]; [5360; 6886]; [1941; 5432]; [4360; 7711]; [5912; 7399]; [2410; 10606]; [7541; 9751]; [2873; 6166]; [6582; 10577]; [8626; 10727]; [187; 1853]; [9400; 10121]; [5566; 10145]; [342; 8557]; [1128; 9466]; [464; 10240]; [1398; 11047]; [1734; 4580]; [6248; 9950]; [6339; 9314]; [3380; 3903]; [5031; 9986]; [332; 4836]; [2171; 10970]; [8236; 10168]; [803; 4421]; [1575; 9404]; [3349; 7973]; [1611; 2645]; [10191; 11000]; [8389; 10383]; [5213; 6435]; [1978; 7542]; [1233; 7388]; [3724; 10479]; [4653; 10942]; [2977; 9498]; [785; 1556]; [1163; 5114]; [2226; 4611]; [5612; 9335]; [1404; 1793]; [1813; 8414]; [4831; 9524]; [4234; 5104]; [5643; 8648]; [9166; 10425]; [10804; 11385]; [4452; 6495]; [45; 5129]; [1721; 3163]; [4367; 8077]; [2185; 11403]; [9561; 10954]; [2235; 11520]; [691; 9441]; [187; 1048]; [8282; 10112]; [6291; 6590]; [9706; 10554]; [5695; 11440]; [9427; 11139]; [3336; 3550]; [4948; 10459]; [4480; 8139]; [2264; 2809]; [779; 2091]; [2730; 8466]; [1926; 10361]; [6618; 7924]; [2920; 5557]; [4934; 9248]; [3628; 6583]; [4404; 6050]; [1231; 8789]; [5721; 6595]; [1860; 8960]; [9379; 10317]; [5055; 10706]; [1879; 2594]; [2593; 8353]; [540; 1701]; [4402; 8606]; [7734; 10815]; [3271; 8416]; [1228; 11120]; [4903; 10285]; [5144; 6964]; [624; 9693]; [6792; 7114]; [7377; 10019]; [7354; 8315]; [6519; 10897]; [3305; 10629]; [186; 3051]; [3668; 8991]; [968; 7224]; [1147; 2271]; [3889; 7647]; [5914; 9999]; [7350; 7792]; [5657; 7899]; [4511; 7401]; [844; 8097]; [8891; 9573]; [3607; 7934]; [2943; 8708]; [7399; 7684]; [331; 6788]; [6158; 9578]; [1669; 8210]; [960; 2795]; [3847; 10804]; [2541; 8139]; [4089; 10337]; [4992; 6169]; [2070; 5521]; [9628; 10216]; [853; 5557]; [10315; 10365]; [632; 3868]; [6881; 7879]; [594; 7548]; [1463; 3796]; [5696; 6672]; [2337; 10187]; [4042; 6707]; [4642; 8392]; [318; 4617]; [2209; 4525]; [4939; 7632]; [1171; 6024]; [6096; 10928]; [6182; 9948]; [4248; 6960]; [1985; 5948]; [3666; 4326]; [9359; 10334]; [6530; 10631]; [2418; 5049]; [7120; 7464]; [551; 4037]; [179; 2179]; [1457; 2796]; [4246; 10270]; [1701; 9572]; [4526; 6123]; [1045; 7955]; [2475; 2550]; [511; 8021]; [7669; 8810]; [3462; 6374]; [6858; 9534]; [3993; 10174]; [1619; 3504]; [7819; 8754]; [1855; 2468]; [226; 10639]; [4106; 4574]; [1867; 9618]; [244; 8966]; [7338; 8831]; [8076; 8568]; [5063; 6304]; [739; 2529]; [8364; 8446]; [6992; 11577]; [397; 9181]; [2221; 7113]; [1598; 7888]; [10386; 10500]; [2214; 3690]; [1159; 4054]; [3380; 4066]; [2375; 10963]; [753; 3366]; [5959; 10010]; [3156; 4358]; [4403; 10580]; [6576; 8666]; [1626; 6149]; [2557; 4029]; [2345; 5836]; [1872; 3172]; [3527; 6745]; [7574; 7768]; [1534; 7314]; [101; 2622]; [3774; 6622]; [410; 9793]; [6879; 9606]; [3515; 8613]; [5736; 8625]; [6751; 10360]; [3143; 6755]; [4485; 5667]; [556; 8837]; [5762; 6813]; [9294; 11362]; [4199; 6212]; [8710; 11311]; [429; 3777]; [10296; 10583]; [3570; 8670]; [2569; 4389]; [4475; 4575]; [5311; 11263]; [2785; 11369]; [1326; 5456]; [7549; 8246]; [5121; 8887]; [599; 11543]; [4150; 8198]; [3935; 4072]; [1657; 4280]; [5989; 7916]; [1383; 2957]; [5240; 9518]; [2463; 5841]; [8815; 11485]; [3242; 9743]; [1812; 4568]; [2865; 3377]; [5356; 10632]; [2056; 11344]; [5664; 8533]; [1541; 9932]; [3739; 4133]; [2053; 11046]; [470; 2623]; [7317; 8246]; [5851; 7578]; [2854; 5847]; [283; 6180]; [2895; 5848]; [4791; 6100]; [2208; 11334]; [8753; 10957]; [1337; 5591]; [834; 7222]; [7152; 7620]; [4196; 8142]; [2508; 8593]; [3974; 9261]; [7709; 8477]; [1338; 9199]; [6690; 8498]; [1642; 9610]; [7500; 7549]; [5623; 5849]; [4752; 8774]; [5457; 10283]; [1234; 11478]; [4472; 9888]; [5767; 8230]; [2573; 9338]; [5013; 9488]; [4772; 7147]; [2719; 9163]; [2313; 8475]; [3126; 11207]; [1660; 4123]; [8695; 9043]; [4361; 8744]; [3891; 6351]; [8311; 9834]; [322; 8336]; [4611; 8892]; [492; 6303]; [1890; 5524]; [341; 3101]; [458; 3686]; [5258; 9642]; [4697; 4879]; [3718; 10745]; [146; 2633]; [2489; 3574]; [3103; 11381]; [930; 6879]; [3127; 9523]; [6676; 10269]; [2595; 4000]; [2099; 6048]; [2432; 5699]; [3397; 8071]; [2628; 3359]; [658; 714]; [1375; 9400]; [7204; 9607]; [2586; 3133]; [4306; 7101]; [5297; 8442]; [4617; 8683]; [288; 5318]; [6100; 6322]; [4150; 9971]; [9809; 10733]; [3577; 10109]; [2092; 5227]; [870; 11335]; [4426; 9088]; [3961; 10449]; [4890; 7502]; [771; 4159]; [3567; 6388]; [7716; 11071]; [7831; 8577]; [614; 9810]; [8048; 10497]; [5212; 11121]; [4752; 7164]; [2999; 3056]; [1355; 7943]; [3036; 6321]; [1076; 8528]; [3182; 5392]; [4400; 6712]; [10463; 11499]; [3221; 9484]; [9661; 10811]; [1901; 8641]; [6603; 11056]; [502; 2779]; [5923; 11297]; [314; 9898]; [4483; 5434]; [4644; 6291]; [6359; 7663]; [5268; 6118]; [4198; 5450]; [2308; 9150]; [2296; 7635]; [1922; 9114]; [2672; 10366]; [6686; 8997]; [213; 5278]; [8239; 11539]; [1711; 8113]; [80; 9852]; [2007; 4499]; [5069; 11543]; [613; 6151]; [4290; 5389]; [11041; 11304]; [1480; 5736]; [4256; 5778]; [7801; 9034]; [886; 8380]; [3291; 6035]; [1388; 9530]; [3628; 9592]; [4342; 8181]; [1997; 4161]; [8935; 9148]; [1966; 8231]; [1278; 4447]; [3024; 7384]; [8564; 10898]; [5976; 9372]; [30; 2918]; [5105; 10045]; [1001; 9242]; [4879; 8012]; [5264; 7823]; [3884; 9181]; [6258; 9435]; [6323; 10584]; [3815; 4880]; [4384; 7252]; [5406; 10158]; [800; 8205]; [7121; 11530]; [829; 6691]; [7613; 7828]; [2138; 9627]; [5940; 7813]; [3280; 4721]; [6487; 7982]; [569; 8457]; [1730; 8489]; [10188; 10997]; [3778; 5348]; [910; 1553]; [2157; 7775]; [233; 5475]; [1121; 5937]; [2461; 8186]; [6609; 9261]; [7010; 10359]; [2462; 11040]; [629; 9612]; [2748; 10845]; [1870; 3931]; [595; 6995]; [3476; 11025]; [9078; 11253]; [7032; 8024]; [991; 10378]; [2168; 6779]; [4074; 5467]; [5056; 5564]; [262; 3560]; [4131; 9384]; [3219; 5892]; [2190; 5979]; [3306; 8520]; [754; 6651]; [8890; 11552]; [3935; 8691]; [9411; 10500]; [7945; 9832]; [7630; 10760]; [321; 6769]; [10622; 10649]; [6664; 8917]; [7008; 8727]; [2588; 2992]; [5850; 5960]; [776; 8103]; [2558; 10697]; [8494; 10047]; [4238; 8850]; [1678; 2956]; [5233; 6900]; [866; 11379]; [4627; 11062]; [372; 3674]; [1081; 1919]; [869; 4480]; [8799; 11033]; [3627; 9635]; [4413; 10544]; [2104; 8433]; [3907; 6242]; [9447; 9756]; [4588; 8855]; [3058; 10646]; [922; 10907]; [5580; 7388]; [3037; 3353]; [10003; 10388]; [3506; 8527]; [7828; 11475]; [2076; 3352]; [478; 1067]; [6577; 8517]; [1042; 3095]; [414; 5778]; [2224; 4004]; [572; 6364]; [3190; 9984]; [3180; 9296]; [3894; 7885]; [1189; 5774]; [228; 9937]; [715; 10055]; [405; 11327]; [5176; 9375]; [532; 11102]; [1087; 8880]; [5667; 6202]; [3549; 7069]; [6566; 7954]; [8436; 9237]; [967; 7243]; [3388; 9595]; [3606; 10986]; [1149; 8977]; [3599; 9815]; [7212; 8102]; [5596; 10873]; [9328; 9818]; [1895; 4071]; [7172; 8703]; [5651; 8328]; [7175; 8220]; [669; 6273]; [512; 8541]; [4490; 5263]; [7015; 7938]; [3868; 8892]; [5268; 11192]; [4549; 5843]; [6763; 10346]; [202; 10944]; [6725; 7610]; [1315; 9804]; [8505; 10131]; [3118; 6859]; [4986; 11479]; [9442; 10455]; [6605; 6727]; [4019; 6028]; [1243; 5205]; [5542; 6449]; [6159; 11521]; [3511; 9944]; [8425; 10552]; [6090; 7220]; [2482; 3615]; [2389; 3424]; [1339; 1880]; [1301; 5560]; [9650; 11508]; [1789; 8532]; [1703; 3096]; [837; 4113]; [266; 914]; [773; 2408]; [8018; 8858]; [518; 1889]; [6051; 10648]; [2155; 3378]; [3383; 4632]; [823; 5154]; [5463; 10855]; [2383; 9621]; [4491; 7312]; [4217; 8241]; [475; 2192]; [1357; 9225]; [975; 6679]; [1811; 6951]; [1322; 10170]; [439; 5164]; [2891; 7583]; [1103; 5144]; [9153; 9547]; [10767; 10867]; [6906; 9068]; [5419; 7523]; [23; 7171]; [2175; 4380]; [8532; 10368]; [1125; 10006]; [1157; 8009]; [2730; 2912]; [6628; 9474]; [1645; 10981]; [993; 6854]; [4663; 5675]; [1579; 6951]; [211; 402]; [773; 8019]; [4725; 9936]; [734; 5812]; [4583; 6096]; [8688; 10507]; [4529; 9243]; [8381; 9044]; [786; 9385]; [6300; 7514]; [1780; 3827]; [935; 8727]; [6793; 10830]; [1311; 10704]; [1471; 6455]; [2868; 5074]; [8716; 8741]; [1187; 6696]; [6655; 10896]; [5602; 5671]; [650; 2327]; [371; 10082]; [3712; 9371]; [4672; 4983]; [4476; 8077]; [36; 10735]; [26; 3631]; [1837; 7717]; [6314; 7570]; [1711; 8544]; [527; 10972]; [460; 5586]; [4599; 7329]; [10442; 10652]; [7587; 11226]; [961; 7265]; [4961; 7718]; [603; 2861]; [9040; 10908]; [5864; 6960]; [1478; 2307]; [1129; 2153]; [2061; 8549]; [2899; 3232]; [3184; 5845]; [387; 4145]; [528; 10042]; [5606; 8772]; [10272; 11530]; [1838; 3000]; [6915; 10954]; [8679; 8835]; [8348; 9984]; [1185; 11480]; [5509; 8839]; [246; 3913]; [810; 5941]; [8033; 8660]; [4170; 10198]; [6663; 7700]; [244; 834]; [1274; 4355]; [4352; 4762]; [1838; 6383]; [843; 5300]; [955; 5541]; [4542; 9023]; [7152; 7864]; [5593; 10415]; [9526; 10370]; [2293; 6963]; [3136; 8406]; [491; 4094]; [6678; 7227]; [1943; 6584]; [2385; 3519]; [8510; 9938]; [8322; 10641]; [1942; 2949]; [732; 10572]; [140; 6496]; [859; 6183]; [3660; 8002]; [2476; 6266]; [4212; 8515]; [4305; 5296]; [4335; 6636]; [6574; 11391]; [503; 4454]; [648; 1425]; [3090; 8761]; [8491; 8733]; [8628; 11448]; [213; 7132]; [5968; 8356]; [5324; 8254]; [2614; 5799]; [4639; 8151]; [155; 6373]; [10177; 10838]; [2949; 5523]; [5715; 11293]; [4199; 11262]; [1016; 6143]; [1041; 7139]; [9845; 11038]; [10574; 10659]; [3690; 5908]; [160; 7097]; [1004; 4978]; [2786; 3408]; [8013; 8677]; [412; 902]; [1279; 6903]; [1719; 7175]; [11421; 11470]; [2796; 3372]; [1968; 7879]; [4733; 10041]; [868; 10752]; [2642; 2905]; [6186; 9723]; [7412; 10150]; [3916; 6786]; [55; 9151]; [1021; 8715]; [3039; 9896]; [1368; 6544]; [2484; 9085]; [3136; 6796]; [7618; 11157]; [4347; 6191]; [8664; 8795]; [4315; 11571]; [1698; 5143]; [4120; 10349]; [6274; 9139]; [4366; 7372]; [947; 6672]; [1256; 7427]; [8534; 9853]; [2384; 11483]; [101; 9095]; [3776; 7506]; [6971; 9252]; [5885; 8805]; [5733; 10663]; [346; 1729]; [60; 5307]; [7697; 9329]; [6006; 10263]; [6606; 7784]; [2448; 6021]; [7650; 8759]; [2576; 4486]; [4666; 11397]; [554; 5815]; [2054; 5313]; [1510; 3937]; [7965; 11214]; [6430; 8497]; [1669; 8885]; [7646; 8236]; [4139; 11099]; [526; 7150]; [8516; 11502]; [2535; 10497]; [3440; 6402]; [5876; 10540]; [4216; 6623]; [8228; 8591]; [5358; 7352]; [6915; 7384]; [779; 7222]; [479; 6930]; [2308; 5206]; [560; 1442]; [1396; 5878]; [783; 1679]; [7725; 9818]; [6813; 10490]; [3513; 11202]; [435; 4379]; [6231; 7856]; [3573; 4837]; [2241; 7367]; [488; 3259]; [2731; 7002]; [1143; 5405]; [8142; 8416]; [6619; 7214]; [6839; 8678]; [4447; 11228]; [4139; 6911]; [4416; 9663]; [4970; 6839]; [853; 5077]; [2265; 8892]; [2552; 8168]; [551; 4712]; [2416; 2645]; [10223; 10296]; [4428; 9673]; [8722; 10573]; [7698; 11004]; [5951; 10094]; [5736; 6722]; [264; 11448]; [4147; 7152]; [10179; 11128]; [253; 709]; [8475; 11046]; [3795; 5946]; [4803; 5736]; [2981; 3743]; [5976; 8811]; [7354; 7380]; [1437; 1664]; [530; 9096]; [9644; 10969]; [1983; 8024]; [3294; 5371]; [6095; 7190]; [3638; 9345]; [3610; 7297]; [6148; 10988]; [1542; 8281]; [4107; 8103]; [1664; 6931]; [43; 2188]; [1142; 7758]; [6147; 9982]; [1223; 2270]; [1324; 3076]; [45; 8650]; [322; 7238]; [1287; 7358]; [1688; 8456]; [8382; 10831]; [5307; 9941]; [2365; 7163]; [3650; 5541]; [2865; 8240]; [9153; 9173]; [1588; 10854]; [4224; 4500]; [2864; 11398]; [5763; 10342]; [338; 5088]; [2661; 3899]; [1761; 1922]; [2392; 5926]; [300; 2352]; [709; 6721]; [4382; 9223]; [1137; 9642]; [1856; 2913]; [2079; 11064]; [4156; 7190]; [5460; 9028]; [8579; 10190]; [3400; 7621]; [1297; 11028]; [8105; 10307]; [322; 6433]; [5272; 6698]; [7844; 9219]; [137; 10817]; [8375; 8855]; [221; 9010]; [3521; 9052]; [3682; 7657]; [2025; 3257]; [4798; 10198]; [3024; 5213]; [7155; 8593]; [7165; 9281]; [8422; 11303]; [8304; 10493]; [8242; 9615]; [4597; 6128]; [2200; 8334]; [4559; 9808]; [987; 5860]; [2385; 7333]; [1858; 7816]; [5306; 7756]; [4806; 6652]; [4990; 9213]; [692; 4407]; [5265; 11138]; [2269; 5845]; [7807; 8532]; [6626; 10477]; [6476; 7500]; [7594; 10868]; [875; 10126]; [1046; 1902]; [156; 4777]; [7618; 9010]; [4446; 8187]; [1775; 11322]; [9547; 10873]; [576; 2138]; [3858; 11400]; [10226; 10407]; [4567; 9645]; [243; 10788]; [4436; 10882]; [4004; 4055]; [9069; 11248]; [1240; 11163]; [2875; 6944]; [3590; 9141]; [792; 10249]; [2181; 2591]; [422; 5054]; [4709; 8947]; [5944; 7238]; [376; 1676]; [136; 5599]; [7759; 11443]; [9239; 9565]; [2797; 7411]; [7093; 9138]; [4547; 4805]; [3487; 4825]; [1804; 6374]; [2143; 10004]; [7932; 10058]; [1301; 4999]; [6867; 9734]; [8023; 9422]; [8701; 9108]; [678; 5774]; [3288; 4615]; [7080; 10781]; [6093; 9559]; [3884; 5400]; [4410; 11108]; [5367; 7203]; [6776; 7337]; [5220; 10159]; [5153; 8937]; [7486; 9190]; [1412; 4988]; [858; 1396]; [7012; 8553]; [1133; 3321]; [3557; 5944]; [6759; 8861]; [7920; 8893]; [4986; 6730]; [2868; 8351]; [5703; 9754]; [2778; 9589]; [9648; 9746]; [2559; 10225]; [6604; 8169]; [4429; 9256]; [444; 9111]; [2213; 3172]; [2405; 9758]; [9843; 10187]; [1559; 2382]; [1115; 1210]; [3267; 8999]; [9001; 9346]; [281; 5148]; [277; 7658]; [554; 6246]; [3350; 7721]; [6937; 7039]; [1620; 9424]; [3948; 9333]; [2458; 4107]; [584; 8340]; [1489; 4245]; [4531; 4995]; [1642; 4487]; [7500; 8842]; [3789; 8522]; [1630; 2972]; [4220; 10960]; [4318; 7331]; [1947; 2090]; [11; 5445]; [8665; 11275]; [1074; 1936]; [10354; 11426]; [5208; 7839]; [84; 3449]; [8394; 10223]; [2314; 2823]; [2322; 6848]; [2559; 6037]; [11086; 11348]; [9961; 10973]; [67; 11389]; [4888; 9554]; [4743; 6167]; [3838; 3846]; [2703; 2783]; [4512; 10206]; [972; 4261]; [5168; 8790]; [1425; 2516]; [2957; 6433]; [3480; 6208]; [6969; 8401]; [641; 8069]; [5909; 9175]; [421; 5851]; [5537; 7317]; [3011; 6669]; [9048; 10989]; [545; 10990]; [3785; 3811]; [2499; 8214]; [9381; 10640]; [4214; 5422]; [4193; 4545]; [2383; 4067]; [6612; 10988]; [377; 5929]; [5799; 10885]; [3686; 6434]; [484; 3517]; [8505; 10188]; [2177; 2686]; [6175; 7200]; [4585; 11192]; [566; 5801]; [2863; 6397]; [11051; 11488]; [5170; 7681]; [445; 7726]; [3084; 11469]; [283; 2480]; [434; 2649]; [8431; 11178]; [3978; 8713]; [1765; 7064]; [2304; 11479]; [7712; 8458]; [6991; 8698]; [1925; 8450]; [1452; 5786]; [6035; 6789]; [2454; 11423]; [4345; 10577]; [3445; 8600]; [3380; 8205]; [3945; 7425]; [3152; 5345]; [3033; 8097]; [7699; 10855]; [3155; 9026]; [8452; 8618]; [4370; 9294]; [447; 6617]; [4619; 5834]; [4395; 11044]; [5482; 7929]; [3312; 9360]; [6191; 6928]; [167; 6977]; [41; 8558]; [1412; 5956]; [7159; 7319]; [3456; 6106]; [3110; 5469]; [8722; 10549]; [1783; 8343]; [2306; 8118]; [3959; 10110]; [10586; 11263]; [1154; 8549]; [3671; 7199]; [4779; 9879]; [2581; 9262]; [2040; 11567]; [264; 9919]; [6707; 11517]; [2574; 9222]; [6834; 10538]; [1603; 2117]; [1221; 5233]; [949; 7743]; [2602; 4073]; [1886; 8067]; [1034; 3128]; [1404; 1907]; [3895; 4998]; [282; 1049]; [1498; 7204]; [9846; 10298]; [281; 7994]; [749; 3144]; [2096; 2400]; [2299; 9175]; [3558; 5578]; [6753; 7324]; [4074; 10598]; [343; 8091]; [3664; 6004]; [4011; 9495]; [931; 8261]; [4539; 5450]; [236; 7470]; [1340; 6968]; [6534; 9845]; [2606; 6070]; [6121; 7232]; [1432; 9940]; [3251; 7528]; [2946; 6892]; [4131; 11482]; [5091; 9346]; [3971; 10069]; [1514; 5054]; [7369; 9892]; [3664; 6354]; [1420; 4638]; [2538; 8760]; [5027; 8772]; [1634; 7041]; [796; 5942]; [4464; 10352]; [5949; 8818]; [2351; 5901]; [2781; 11147]; [3994; 4953]; [384; 6937]; [4119; 10317]; [1696; 7138]; [992; 8513]; [4424; 7920]; [4753; 6698]; [5234; 6971]; [4322; 9895]; [225; 3093]; [7004; 8050]; [939; 1682]; [4533; 7863]; [4660; 9136]; [2198; 4531]; [7930; 10467]; [1882; 5988]; [4848; 6154]; [2045; 6918]; [8767; 11341]; [5565; 9178]; [1952; 4475]; [4978; 5446]; [6965; 11478]; [2419; 6570]; [1129; 4438]; [387; 3047]; [540; 4043]; [75; 1994]; [9665; 10212]; [10907; 11172]; [1902; 3607]; [4496; 8331]; [6662; 10164]; [3274; 3859]; [8659; 10468]; [7475; 8732]; [7136; 9266]; [7237; 9318]; [1208; 2637]; [1811; 4593]; [3853; 10332]; [274; 5213]; [4914; 6750]; [805; 11265]; [8090; 8446]; [2952; 8130]; [5813; 10754]; [1608; 2729]; [4507; 5837]; [6652; 8291]; [9174; 11449]; [7643; 10386]; [1369; 10260]; [6677; 10041]; [7269; 7701]; [10512; 10619]; [3038; 4871]; [2733; 10651]; [8700; 9314]; [4159; 7756]; [7168; 10278]; [296; 2878]; [4680; 6704]; [46; 1949]; [719; 5455]; [8290; 10355]; [6787; 7553]; [7752; 10679]; [10276; 10500]; [2614; 11117]; [2583; 9552]; [2125; 7920]; [5084; 11079]; [7125; 7548]; [1679; 3669]; [9748; 11512]; [374; 8022]; [5221; 6654]; [2738; 3424]; [3328; 6673]; [9212; 9997]; [2144; 9101]; [3517; 7326]; [3388; 4472]; [5625; 7269]; [1860; 2926]; [3297; 8491]; [2552; 3419]; [2330; 5292]; [675; 1719]; [293; 5589]; [5468; 10668]; [2572; 4825]; [9015; 9833]; [1906; 2520]; [8118; 11537]; [6452; 10057]; [1137; 6853]; [2718; 8033]; [6298; 9590]; [7387; 8056]; [1015; 10805]; [2490; 8583]; [3153; 10590]; [619; 3665]; [567; 3475]; [2492; 8629]; [5701; 6301]; [3648; 8317]; [1566; 5431]; [752; 8890]; [1812; 8870]; [3928; 10586]; [5079; 9930]; [2923; 4651]; [1588; 10293]; [2452; 6197]; [4317; 7136]; [368; 2484]; [3081; 9374]; [6462; 7338]; [4228; 11228]; [4128; 7614]; [5067; 8765]; [1149; 6432]; [4559; 10052]; [2759; 10262]; [6357; 6763]; [4125; 7316]; [2530; 3794]; [3336; 5355]; [823; 3414]; [7318; 9366]; [6858; 11071]; [1228; 11047]; [3931; 10833]; [2907; 6346]; [5641; 7697]; [2905; 9683]; [244; 3737]; [3306; 10781]; [4983; 9417]; [9089; 10266]; [254; 1392]; [4512; 6799]; [837; 1218]; [2368; 3035]; [111; 1114]; [3646; 10068]; [7094; 10008]; [526; 9435]; [7393; 10075]; [5882; 10388]; [3356; 10494]; [1398; 2948]; [9885; 10358]; [11; 7299]; [3813; 7737]; [4682; 8149]; [1855; 4355]; [5837; 9864]; [691; 10441]; [5871; 9448]; [2698; 11433]; [485; 9784]; [886; 7876]; [6605; 9443]; [1001; 8388]; [1350; 6290]; [6769; 7565]; [5267; 11404]; [1256; 5874]; [6385; 10608]; [2622; 2928]; [1340; 4821]; [5286; 8421]; [4389; 10125]; [339; 3169]; [3234; 4623]; [1204; 1927]; [6100; 7591]; [1430; 8097]; [3844; 9278]; [4568; 9309]; [640; 9698]; [6839; 7930]; [11507; 11515]; [5815; 8361]; [5166; 10167]; [9020; 10795]; [6095; 10630]; [8304; 9127]; [4816; 9788]; [5561; 10696]; [6086; 6380]; [1266; 9571]; [1698; 5818]; [760; 7521]; [3964; 4849]; [5113; 9782]; [794; 6351]; [3934; 8390]; [4185; 5757]; [2354; 10818]; [4023; 4675]; [3862; 10207]; [5512; 6266]; [4669; 4823]; [9218; 11160]; [5957; 11046]; [1434; 3678]; [4171; 10962]; [4106; 4151]; [2650; 4171]; [154; 5617]; [3803; 9977]; [3755; 5799]; [1086; 5597]; [7679; 7920]; [2076; 3303]; [4593; 6117]; [7055; 9224]; [1107; 3441]; [3537; 7010]; [5156; 8674]; [385; 1958]; [1876; 10038]; [952; 3503]; [3871; 9515]; [5834; 10989]; [4836; 6225]; [5338; 11539]; [918; 1640]; [8383; 9554]; [1284; 9345]; [4310; 10316]; [263; 2877]; [5201; 8043]; [2959; 7154]; [820; 7898]; [3996; 5430]; [6107; 6802]; [2025; 9730]; [2304; 2729]; [3423; 8951]; [3982; 10635]; [5045; 10132]; [1492; 3982]; [1106; 6198]; [398; 8555]; [4433; 8063]; [2263; 2324]; [731; 4042]; [1101; 2821]; [889; 4628]; [2006; 5142]; [3029; 5240]; [2280; 3432]; [6478; 8034]; [1748; 9987]; [8998; 10365]; [2527; 3309]; [5980; 10009]; [5388; 10097]; [319; 6168]; [4792; 8531]; [2774; 10733]; [343; 3529]; [6468; 9948]; [8462; 10735]; [3825; 8715]; [3209; 4245]; [2116; 8289]; [8150; 8928]; [3045; 9506]; [3580; 5878]; [3941; 9829]; [8342; 9098]; [1926; 5913]; [6303; 8568]; [3228; 7678]; [7900; 11382]; [4094; 7038]; [289; 6302]; [4800; 5739]; [1885; 6262]; [295; 10254]; [3709; 4194]; [7485; 9827]; [6; 2981]; [2530; 2802]; [4936; 8229]; [2837; 7648]; [2436; 6550]; [1123; 9130]; [474; 2268]; [1499; 5445]; [6129; 6294]; [2992; 7936]; [6753; 8373]; [10183; 11117]; [1907; 10343]; [1721; 7709]; [10673; 10752]; [4319; 8445]; [7587; 8949]; [3505; 9625]; [2794; 10553]; [7121; 10839]; [3630; 8573]; [6868; 6983]; [457; 10558]; [2038; 10984]; [516; 1339]; [4839; 7141]; [2067; 10224]; [8634; 10572]; [2815; 11026]; [3278; 6586]; [1685; 3891]; [2880; 9923]; [7768; 11562]; [8573; 10269]; [2275; 10523]; [1093; 3198]; [928; 5605]; [4267; 10483]; [4699; 10894]; [6256; 6762]; [2056; 9661]; [2868; 5375]; [5010; 8312]; [4803; 11217]; [5414; 6675]; [3038; 3342]; [278; 770]; [6012; 7533]; [7565; 10829]; [934; 5770]; [3231; 6366]; [4313; 10077]; [1790; 7448]; [7953; 10187]; [3913; 6171]; [4873; 8199]; [4842; 6634]; [919; 3957]; [3575; 9559]; [1633; 2546]; [7747; 9530]; [7458; 9427]; [1446; 3851]; [1506; 11072]; [5556; 9360]; [9040; 11209]; [10373; 11533]; [581; 4312]; [2539; 5442]; [4994; 6624]; [3000; 4339]; [1601; 4893]; [3953; 5196]; [3462; 8342]; [3935; 8000]; [3493; 7655]; [633; 1469]; [1911; 9256]; [4983; 9848]; [3152; 10745]; [8343; 9187]; [5822; 9637]; [3169; 7716]; [1369; 7926]; [3420; 5083]; [7088; 7241]; [6599; 10460]; [978; 1130]; [249; 11278]; [1548; 7110]; [3259; 4576]; [8732; 9120]; [50; 488]; [853; 2532]; [1413; 7824]; [1048; 2219]; [6139; 10633]; [6612; 11045]; [3866; 8179]; [7006; 10218]; [1283; 5499]; [715; 5981]; [9909; 10035]; [9783; 10862]; [5948; 8032]; [3654; 7707]; [2095; 3842]; [8492; 8505]; [3172; 7209]; [4261; 5675]; [2581; 6741]; [8584; 11477]; [2956; 5864]; [6531; 7077]; [3107; 6033]; [1369; 7121]; [6462; 9192]; [5357; 10947]; [437; 9770]; [1110; 9112]; [5007; 6404]; [2010; 4673]; [2486; 11018]; [3534; 8729]; [2479; 9847]; [1332; 10622]; [5594; 7103]; [2249; 3154]; [6579; 10881]; [3656; 10762]; [4093; 6599]; [4122; 11501]; [6975; 7848]; [7609; 11369]; [2988; 7630]; [3796; 5854]; [558; 1028]; [6972; 7550]; [843; 10057]; [7133; 8407]; [4550; 11389]; [7530; 11261]; [11267; 11304]; [1; 2800]; [7910; 11482]; [718; 8076]; [658; 8025]; [5668; 8341]; [6382; 6930]; [8796; 8865]; [843; 7024]; [1367; 9653]; [1897; 6435]; [6553; 8505]; [3734; 10988]; [2356; 10921]; [8651; 8861]; [2168; 6706]; [1505; 8082]; [82; 4832]; [3155; 4895]; [4032; 11584]; [3941; 5804]; [5742; 8448]; [5305; 6195]; [1418; 3175]; [1108; 8611]; [5240; 10681]; [9818; 11340]; [2874; 5784]; [4238; 8427]; [6857; 8485]; [2494; 3284]; [7194; 11288]; [5422; 7130]; [4859; 7956]; [3587; 10537]; [4984; 6904]; [3733; 10362]; [5698; 6247]; [4602; 6610]; [875; 5003]; [2334; 4500]; [4316; 10188]; [4381; 11337]; [3828; 10599]; [6254; 6879]; [328; 3329]; [2693; 8755]; [1824; 6091]; [6156; 9727]; [1192; 9032]; [5464; 6201]; [1410; 10423]; [949; 3612]; [207; 8637]; [4438; 5805]; [4687; 6509]; [3040; 9213]; [4431; 8017]; [1778; 6096]; [6206; 9440]; [468; 5941]; [10708; 11043]; [6226; 10846]; [2337; 11163]; [2483; 10234]; [560; 5126]; [221; 5660]; [1774; 8956]; [453; 4505]; [1332; 1441]; [8178; 8374]; [1306; 6636]; [120; 8991]; [106; 4397]; [426; 9448]; [7458; 8435]; [385; 7195]; [1355; 3495]; [3311; 10214]; [2201; 10871]; [3191; 8577]; [2708; 5225]; [4671; 6699]; [2656; 5035]; [595; 774]; [4650; 5822]; [1374; 6928]; [6228; 6731]; [2255; 4691]; [1817; 10881]; [4138; 9619]; [10; 7668]; [2178; 6164]; [7004; 10335]; [4792; 11540]; [6106; 8404]; [7462; 10432]; [5158; 9419]; [1108; 2463]; [2202; 11072]; [2536; 10194]; [144; 6328]; [2069; 4312]; [2225; 4825]; [1230; 10158]; [1473; 3500]; [1975; 4650]; [915; 4670]; [1749; 8279]; [3813; 10559]; [318; 10049]; [7011; 9570]; [1027; 2632]; [2988; 7443]; [2740; 3177]; [5890; 10068]; [4768; 9210]; [2490; 6412]; [3615; 6787]; [5046; 8400]; [650; 3059]; [2704; 11067]; [192; 2181]; [961; 1231]; [1368; 9691]; [1557; 5426]; [6280; 8718]; [1364; 5785]; [3850; 8532]; [2910; 7910]; [1423; 6365]; [6498; 7076]; [4119; 4226]; [10882; 10902]; [858; 10528]; [170; 328]; [2033; 3850]; [4567; 8523]; [2905; 10195]; [1850; 11313]; [1077; 2695]; [4676; 8466]; [2258; 9795]; [2222; 3722]; [4307; 10289]; [2313; 3840]; [9214; 9726]; [2567; 11304]; [93; 4430]; [5361; 5536]; [2990; 8963]; [7508; 9571]; [373; 6699]; [4637; 6259]; [4612; 7892]; [8192; 10203]; [596; 2772]; [1691; 10852]; [153; 2202]; [254; 2254]; [2556; 3194]; [3669; 6218]; [3010; 7336]; [3416; 8024]; [675; 10420]; [7655; 9217]; [2729; 11258]; [2015; 6253]; [2646; 9503]; [1459; 1834]; [2384; 7059]; [3655; 11423]; [5311; 11434]; [9041; 10306]; [3905; 11571]; [6608; 10603]; [10446; 10698]; [6; 4030]; [4274; 10125]; [131; 9394]; [5363; 8591]; [511; 3199]; [1316; 4158]; [2709; 9451]; [4056; 5701]; [5644; 8052]; [594; 8337]; [3207; 6695]; [1440; 2881]; [7560; 8956]; [471; 3019]; [4452; 5674]; [1088; 1675]; [5661; 8406]; [191; 10549]; [2022; 9652]; [5723; 9284]; [618; 5698]; [4953; 6599]; [7410; 8608]; [7928; 10291]; [4168; 9298]; [8488; 9167]; [6588; 11425]; [1361; 6910]; [2135; 9714]; [2238; 7183]; [1011; 2367]; [4598; 5095]; [1534; 2142]; [1289; 7973]; [3498; 6470]; [4212; 5059]; [1235; 4704]; [5371; 11434]; [6030; 10316]; [2506; 11320]; [1814; 7794]; [2316; 8944]; [7636; 10240]; [3801; 7410]; [3085; 7240]; [1660; 7327]; [134; 2444]; [5524; 8643]; [1904; 9939]; [5551; 11220]; [8400; 11575]; [993; 7049]; [1712; 6736]; [9499; 10729]; [4017; 11357]; [5380; 8140]; [2489; 9811]; [1527; 11120]; [1706; 6167]; [1551; 9262]; [4455; 8550]; [4049; 7108]; [8252; 8644]; [3381; 3976]; [9399; 10498]; [400; 6885]; [183; 8348]; [1952; 6573]; [2017; 7722]; [1913; 6618]; [4502; 10998]; [9734; 10195]; [641; 6947]; [599; 6721]; [6087; 10045]; [1505; 5480]; [97; 8954]; [128; 4103]; [1688; 8570]; [623; 8246]; [8255; 11170]; [10378; 10647]; [9375; 11201]; [507; 10515]; [3422; 3576]; [8065; 8794]; [10585; 11125]; [2421; 4176]; [9275; 10970]; [1811; 10074]; [214; 3473]; [6535; 9804]; [9333; 11325]; [5152; 7858]; [2569; 5178]; [2005; 8031]; [2282; 10783]; [8579; 10304]; [1469; 11434]; [6574; 9358]; [2413; 7267]; [8287; 9903]; [4328; 4563]; [5539; 11128]; [1103; 7112]; [878; 2298]; [5019; 8618]; [7412; 8922]; [3177; 8602]; [1933; 6815]; [1589; 7005]; [3454; 7190]; [4147; 5656]; [255; 2292]; [2548; 5398]; [4325; 7648]; [340; 8257]; [550; 4869]; [2647; 9541]; [517; 2477]; [4823; 4892]; [280; 6671]; [868; 6841]; [6181; 7720]; [7516; 8871]; [2483; 11015]; [492; 8247]; [767; 10172]; [1349; 2980]; [2374; 9567]; [796; 8658]; [4872; 8167]; [9631; 11116]; [2172; 6400]; [3311; 10645]; [1439; 9289]; [2944; 9131]; [1776; 5676]; [1966; 11435]; [4001; 8059]; [357; 8961]; [1718; 4917]; [2740; 4413]; [787; 7791]; [97; 928]; [635; 3987]; [4494; 4959]; [3647; 10944]; [528; 3366]; [5825; 9374]; [218; 2386]; [2425; 6472]; [7349; 7768]; [10119; 10274]; [4140; 7844]; [2980; 10666]; [6218; 9076]; [939; 7781]; [9743; 10926]; [6009; 8902]; [5598; 7116]; [677; 6091]; [742; 4234]; [951; 1375]; [2415; 6134]; [6582; 7259]; [6680; 7794]; [5035; 5663]; [50; 6343]; [5932; 6588]; [9220; 11531]; [1655; 3413]; [8079; 10623]; [1947; 7197]; [980; 10414]; [4958; 6382]; [1761; 3809]; [8884; 9330]; [7547; 10762]; [3275; 7931]; [2168; 8105]; [200; 6287]; [1289; 4753]; [1566; 3341]; [4771; 9939]; [3305; 9271]; [8881; 9032]; [1338; 4645]; [4646; 8712]; [2249; 10164]; [1463; 10009]; [5912; 7814]; [103; 9737]; [2367; 7941]; [7571; 11506]; [5171; 7779]; [2363; 11205]; [11105; 11220]; [4971; 6967]; [10134; 10531]; [3568; 10031]; [4230; 9184]; [2922; 9856]; [3514; 7516]; [2423; 5971]; [2010; 10528]; [8276; 9982]; [5375; 10211]; [420; 7350]; [1239; 10651]; [5712; 7352]; [4471; 9246]; [3077; 10144]; [419; 7879]; [4211; 7629]; [8978; 11193]; [1843; 8321]; [614; 7566]; [2306; 3881]; [9470; 10901]; [5554; 9395]; [9540; 10142]; [5457; 9462]; [574; 8167]; [7267; 7688]; [412; 10091]; [3836; 5473]; [5916; 7532]; [5604; 5725]; [1213; 4892]; [510; 9845]; [3205; 4852]; [1904; 2531]; [2859; 4215]; [1291; 10410]; [3767; 6053]; [6157; 6840]; [6943; 7749]; [1220; 5282]; [5568; 7199]; [2700; 3404]; [7312; 9309]; [6718; 8570]; [4484; 6044]; [608; 3213]; [129; 7120]; [8701; 11450]; [497; 5826]; [5753; 9581]; [7432; 11296]; [2077; 4529]; [7765; 10193]; [4907; 7840]; [3135; 3682]; [6266; 7133]; [8012; 10824]; [1983; 4113]; [2296; 8774]; [727; 7227]; [2594; 5987]; [5809; 9863]; [2001; 8856]; [1230; 2563]; [5665; 9360]; [7693; 8977]; [7290; 7806]; [8933; 9864]; [308; 1766]; [3898; 8929]; [443; 1402]; [1036; 1916]; [5702; 8838]; [5747; 7857]; [6820; 8042]; [1402; 10375]; [9712; 9979]; [5342; 10023]; [7692; 8725]; [25; 8998]; [5092; 9848]; [2798; 8769]; [5007; 7266]; [299; 10698]; [3595; 6834]; [7304; 11245]; [10356; 10431]; [2908; 10068]; [2224; 6403]; [3688; 6244]; [10009; 10323]; [1845; 3374]; [323; 9190]; [1474; 4370]; [4582; 11035]; [4680; 8160]; [2839; 8369]; [8630; 9250]; [2095; 10315]; [6632; 10973]; [531; 2696]; [3521; 8174]; [6038; 10234]; [1830; 2692]; [3515; 7605]; [929; 6906]; [2522; 3185]; [2205; 7450]; [7303; 9865]; [1336; 4786]; [3640; 6553]; [203; 10185]; [492; 3872]; [7985; 9670]; [3219; 3298]; [271; 1429]; [4433; 7128]; [6406; 9290]; [4028; 9294]; [1108; 9473]; [394; 3714]; [4119; 8658]; [4344; 11220]; [7150; 9973]; [2751; 4361]; [139; 3195]; [4701; 4849]; [4983; 7945]; [2309; 7399]; [3238; 7862]; [1312; 3237]; [4326; 8355]; [5735; 6237]; [778; 8965]; [1999; 3386]; [3201; 11363]; [3803; 10465]; [8502; 9199]; [9214; 11125]; [1984; 7989]; [3816; 9946]; [925; 2195]; [4751; 7945]; [1552; 8709]; [5525; 7339]; [1039; 3236]; [3944; 9542]; [8015; 8707]; [4837; 10348]; [10783; 11140]; [6361; 8742]; [6739; 7382]; [3497; 11482]; [940; 5859]; [4670; 8895]; [408; 5998]; [5418; 6314]; [4198; 9085]; [1291; 10223]; [9992; 10237]; [1654; 7831]; [1241; 10136]; [3075; 8756]; [6812; 8799]; [5664; 6720]; [4390; 6222]; [5314; 9347]; [985; 5228]; [336; 11198]; [1611; 1718]; [6029; 10790]; [924; 4952]; [1357; 10469]; [3783; 6749]; [4285; 7899]; [1919; 9418]; [3041; 3860]; [2693; 8812]; [8336; 9041]; [549; 2796]; [3868; 6298]; [3778; 9788]; [4280; 10938]; [4116; 9783]; [377; 6661]; [4523; 7663]; [4824; 8557]; [296; 11368]; [2924; 4399]; [1375; 8392]; [1468; 5173]; [3553; 7576]; [10060; 10125]; [6230; 7639]; [3645; 10548]; [2241; 10758]; [2091; 7781]; [842; 4896]; [4448; 8428]; [3450; 10080]; [1798; 3772]; [3642; 10250]; [5070; 8182]; [114; 11512]; [25; 5778]; [3750; 9968]; [5245; 9122]; [2568; 2643]; [1260; 9731]; [821; 6651]; [4845; 10134]; [4026; 9085]; [793; 4603]; [2785; 10979]; [8635; 9057]; [920; 3624]; [10128; 11548]; [2561; 2603]; [5293; 9543]; [4429; 7223]; [1122; 6764]; [6765; 6993]; [15; 4686]; [1940; 3424]; [63; 3976]; [9833; 10095]; [8711; 9991]; [2467; 6324]; [2897; 5154]; [7850; 11352]; [2174; 2315]; [773; 8458]; [6289; 7414]; [1270; 2848]; [4974; 6915]; [4855; 9667]; [8831; 11224]; [3232; 11267]; [9417; 11321]; [6256; 8405]; [4840; 7100]; [2813; 8839]; [6841; 8277]; [298; 3819]; [2446; 4292]; [8970; 10228]; [1852; 3553]; [4432; 10099]; [5206; 9493]; [5323; 10078]; [6596; 11105]; [1056; 1175]; [3089; 7552]; [811; 4754]; [8723; 10701]; [9991; 10630]; [2424; 8101]; [5314; 9965]; [2203; 6412]; [10014; 11553]; [8861; 9130]; [8797; 11589]; [5430; 11079]; [1209; 8183]; [3480; 7558]; [4462; 7655]; [2106; 9862]; [6397; 7081]; [5684; 11346]; [1107; 7125]; [3474; 6962]; [3092; 3662]; [7887; 9274]; [253; 5523]; [4967; 9453]; [3618; 9370]; [5557; 6286]; [4858; 8005]; [283; 447]; [10284; 10451]; [4052; 9827]; [7531; 11332]; [1158; 4811]; [4836; 9909]; [4616; 5439]; [349; 2198]; [1684; 10519]; [190; 1387]; [3648; 8431]; [491; 4533]; [3271; 6229]; [8530; 9501]; [625; 11114]; [391; 4302]; [2305; 9267]; [2675; 8046]; [4375; 10638]; [4843; 6542]; [6126; 7503]; [2069; 5792]; [83; 9784]; [5778; 10203]; [5532; 7518]; [2068; 6321]; [4652; 6193]; [545; 5119]; [1376; 5047]; [8726; 9039]; [6637; 9146]; [3600; 4576]; [2753; 9807]; [2593; 8394]; [1127; 1310]; [9815; 10888]; [412; 8912]; [4020; 6101]; [7328; 10168]; [7261; 8946]; [7497; 10943]; [2242; 10796]; [3369; 4828]; [2932; 4827]; [2033; 9868]; [8411; 10317]; [627; 10005]; [1783; 9693]; [6098; 9218]; [8178; 11277]; [5747; 7483]; [7340; 10178]; [459; 11360]; [4287; 10767]; [5190; 5845]; [4536; 11471]; [5745; 10793]; [991; 5182]; [1455; 10012]; [8573; 11025]; [1644; 6501]; [264; 4853]; [5282; 5784]; [3816; 5116]; [894; 10884]; [4521; 6625]; [1754; 10052]; [811; 1989]; [2490; 3704]; [1507; 6388]; [3253; 9325]; [2775; 7071]; [66; 7470]; [494; 10391]; [3054; 9115]; [6851; 9209]; [593; 3200]; [6509; 9445]; [2111; 7441]; [1147; 1507]; [18; 10812]; [3416; 6471]; [6707; 8679]; [888; 9914]; [8573; 10220]; [1606; 9376]; [3968; 8115]; [1761; 9664]; [822; 2097]; [533; 1994]; [7237; 11473]; [2251; 2883]; [4678; 6935]; [6722; 9337]; [1521; 3037]; [9409; 10088]; [3172; 9120]; [1245; 3893]; [407; 6958]; [4825; 9614]; [6201; 7356]; [7932; 9261]; [36; 7954]; [5597; 5929]; [4736; 10296]; [4860; 5636]; [10144; 10658]; [1459; 2509]; [2295; 2781]; [23; 10351]; [5398; 11354]; [2667; 8022]; [1953; 3017]; [8453; 8559]; [4134; 5128]; [2190; 2206]; [6212; 11278]; [1071; 5029]; [8882; 10170]; [570; 7487]; [671; 7539]; [2290; 9203]; [392; 8124]; [2725; 8377]; [6699; 9861]; [5432; 10534]; [1592; 7360]; [4393; 5769]; [878; 2355]; [6237; 9241]; [8591; 10371]; [6476; 11509]; [2273; 4311]; [5570; 9717]; [773; 3278]; [2343; 8433]; [3767; 8875]; [4763; 11314]; [5375; 5462]; [154; 8309]; [2071; 2268]; [8089; 8790]; [4937; 9400]; [18; 9202]; [171; 5280]; [1640; 3213]; [632; 4177]; [2755; 2900]; [7261; 8409]; [7992; 8857]; [201; 7374]; [5557; 8327]; [602; 1302]; [1295; 6184]; [5371; 5693]; [5963; 9769]; [1081; 11328]; [9871; 10633]; [470; 2314]; [3455; 7448]; [4867; 11263]; [932; 4065]; [2217; 2443]; [5324; 8506]; [6382; 11069]; [381; 744]; [4613; 7182]; [8520; 10854]; [2921; 10143]; [2613; 5826]; [9309; 11280]; [8965; 11470]; [773; 8889]; [2022; 9522]; [3140; 8726]; [3021; 10724]; [2543; 4306]; [435; 10779]; [2792; 5010]; [2862; 9913]; [1367; 4343]; [2146; 4081]; [5843; 11141]; [7424; 11567]; [5803; 7578]; [205; 10475]; [1105; 5282]; [543; 9716]; [3864; 7629]; [4182; 6972]; [9973; 10105]; [6482; 11249]; [5109; 6608]; [2901; 5303]; [1531; 4343]; [1632; 11565]; [10216; 10240]; [2680; 2860]; [3490; 8327]; [2406; 4543]; [11265; 11559]; [4106; 4883]; [1161; 8947]; [5411; 10329]; [6008; 8333]; [4454; 11228]; [6326; 6922]; [6849; 8949]; [6405; 11187]; [3676; 8682]; [1176; 9255]; [1207; 11574]; [519; 4784]; [740; 3440]; [1796; 8182]; [4982; 10566]; [110; 3044]; [9793; 10295]; [4870; 9601]; [21; 3726]; [6249; 11024]; [3187; 4734]; [2533; 5442]; [8482; 9915]; [2974; 7070]; [4207; 10196]; [255; 2617]; [7262; 9653]; [1231; 7033]; [3316; 9436]; [8569; 9510]; [1009; 1736]; [4; 2217]; [9649; 10142]; [7255; 9613]; [6472; 8221]; [3919; 4252]; [3056; 11202]; [1062; 8163]; [384; 5067]; [2314; 10565]; [6629; 10090]; [1441; 10411]; [1020; 8691]; [192; 8280]; [4330; 8667]; [2897; 3975]; [1613; 9205]; [5563; 6131]; [1146; 10493]; [3232; 10088]; [3011; 7645]; [7770; 10594]; [4095; 5767]; [2192; 4344]; [8793; 10692]; [822; 7521]; [1073; 11304]; [1591; 6571]; [1847; 8446]; [3841; 5069]; [9868; 10199]; [195; 4390]; [1659; 8395]; [2435; 4452]; [2060; 9493]; [2585; 7429]; [7013; 9275]; [10497; 11124]; [5387; 6440]; [3613; 5619]; [2178; 7270]; [3241; 6013]; [1393; 2799]; [5782; 6969]; [10900; 11514]; [5721; 8945]; [2931; 8416]; [1605; 4375]; [8748; 10518]; [4539; 11419]; [7423; 9331]; [1179; 5664]; [7865; 10430]; [4625; 11193]; [6650; 7129]; [184; 417]; [9979; 11319]; [7148; 10789]; [512; 5386]; [611; 9529]; [3787; 7061]; [760; 8871]; [426; 9749]; [5219; 11528]; [2936; 11392]; [8036; 8218]; [3526; 5973]; [2896; 5577]; [2834; 3945]; [855; 2692]; [3498; 3925]; [385; 10879]; [509; 2055]; [6264; 9695]; [7633; 10430]; [2220; 5937]; [2342; 7620]; [4670; 7529]; [2400; 11008]; [1182; 4026]; [7529; 9326]; [461; 8430]; [1084; 1239]; [3119; 10695]; [1302; 9046]; [2703; 8565]; [8819; 11458]; [2869; 3350]; [1434; 8411]; [1773; 8631]; [5566; 11235]; [4853; 9084]; [1837; 3139]; [2893; 11291]; [4352; 10788]; [6248; 11040]; [5035; 8566]; [6253; 9132]; [3224; 10115]; [454; 7609]; [7152; 7474]; [2510; 5110]; [770; 9535]; [8273; 10359]; [104; 9482]; [6265; 9142]; [3632; 8597]; [84; 5043]; [3905; 10449]; [3719; 4809]; [7074; 10974]; [128; 4591]; [2414; 4998]; [5917; 11061]; [6442; 7499]; [193; 2734]; [1223; 6255]; [4703; 9116]; [6253; 7977]; [8145; 10739]; [4547; 7822]; [7556; 10344]; [5880; 8900]; [4075; 8012]; [467; 4407]; [9993; 10920]; [7619; 8414]; [3727; 5050]; [3172; 9901]; [1923; 7770]; [672; 11228]; [710; 1132]; [4913; 6078]; [2578; 9162]; [1824; 7010]; [425; 7564]; [7242; 9595]; [4219; 8141]; [478; 4946]; [2594; 6662]; [6310; 8080]; [8108; 11207]; [5959; 7099]; [7675; 11325]; [1164; 11286]; [9655; 9770]; [3394; 4244]; [1773; 6671]; [3928; 7561]; [4169; 10656]; [3298; 7165]; [8786; 10489]; [1441; 6841]; [3249; 11410]; [2611; 10399]; [1336; 9299]; [7198; 8892]; [496; 5121]; [3137; 9691]; [3830; 10409]; [3388; 7058]; [4386; 6160]; [3476; 3495]; [346; 2144]; [4826; 6432]; [3236; 3254]; [1328; 2241]; [1887; 3925]; [4287; 5400]; [6322; 8440]; [4223; 7859]; [1143; 6625]; [5571; 9969]; [298; 2103]; [531; 10942]; [8668; 8928]; [2231; 4866]; [5503; 8522]; [680; 8032]; [5905; 6058]; [645; 8977]; [1295; 6615]; [3506; 5185]; [455; 8853]; [2162; 6200]; [7444; 11176]; [8791; 10432]; [231; 6893]; [4530; 8891]; [3580; 6073]; [3062; 5144]; [2151; 10922]; [2588; 5261]; [1469; 8084]; [4666; 10657]; [3298; 6360]; [1304; 4075]; [10703; 10813]; [6472; 7229]; [2335; 10450]; [9465; 9972]; [10053; 10142]; [5261; 11217]; [1899; 11051]; [2737; 5734]; [5792; 10853]; [7342; 10468]; [3479; 5590]; [7150; 7265]; [2912; 6674]; [5659; 8230]; [4959; 7095]; [2194; 4179]; [2655; 5328]; [11285; 11518]; [3374; 4261]; [2818; 7012]; [444; 10168]; [8195; 8842]; [8043; 11454]; [2871; 10056]; [9574; 10265]; [101; 1134]; [8163; 9304]; [1845; 3244]; [5323; 10940]; [1560; 10430]; [1811; 7797]; [1897; 6817]; [2175; 8259]; [1184; 4666]; [7661; 8504]; [2298; 10544]; [775; 9342]; [5503; 6562]; [530; 9511]; [6065; 6265]; [8738; 8838]; [7556; 7929]; [2172; 4928]; [2196; 9486]; [7120; 10782]; [1415; 2505]; [706; 4260]; [5432; 11233]; [3014; 6146]; [2319; 5355]; [5987; 9765]; [4094; 6778]; [2972; 6674]; [5021; 7168]; [726; 8295]; [4399; 10797]; [3308; 5842]; [825; 6022]; [409; 482]; [5990; 10413]; [818; 4851]; [701; 10682]; [659; 4040]; [6109; 11044]; [4889; 7399]; [1522; 6889]; [7411; 10557]; [1802; 9158]; [2404; 7506]; [1246; 11155]; [4976; 10027]; [3916; 10047]; [6631; 7184]; [2491; 3718]; [3707; 9873]; [8306; 11409]; [6224; 6271]; [10475; 10507]; [1149; 10441]; [6715; 8760]; [1489; 11263]; [1353; 7238]; [1639; 11207]; [1018; 2229]; [2378; 11546]; [475; 4461]; [845; 3240]; [1218; 1536]; [6006; 10141]; [2468; 7275]; [4525; 5378]; [3155; 11588]; [9963; 10867]; [2955; 10776]; [1988; 6823]; [498; 5761]; [4820; 8709]; [4573; 8051]; [9767; 10928]; [182; 802]; [7246; 10624]; [4476; 8118]; [3269; 8842]; [5277; 9335]; [1760; 5094]; [679; 11407]; [2164; 3457]; [3323; 9078]; [2219; 3164]; [1291; 5555]; [1115; 7773]; [2481; 10489]; [7617; 9978]; [1882; 10160]; [2505; 2969]; [5717; 6574]; [2191; 10915]; [598; 1804]; [3056; 9673]; [3397; 3550]; [638; 4586]; [5149; 10439]; [4524; 8135]; [5291; 6358]; [10898; 11094]; [5760; 9280]; [10054; 10180]; [4106; 9315]; [4171; 9710]; [1480; 5053]; [2391; 10572]; [3387; 8847]; [2919; 6527]; [7623; 9769]; [1021; 10366]; [6967; 8152]; [7550; 10984]; [6935; 9368]; [6276; 10486]; [7212; 7956]; [5283; 5312]; [6669; 10188]; [2536; 7893]; [4368; 5686]; [4552; 8247]; [595; 3734]; [2678; 10228]; [7915; 9769]; [3995; 10773]; [2222; 8642]; [221; 10848]; [536; 3504]; [1716; 3586]; [6039; 10142]; [8811; 10442]; [6724; 7212]; [3326; 10799]; [5041; 8007]; [10519; 10643]; [3640; 6236]; [2117; 11450]; [308; 7410]; [5999; 11093]; [1228; 5875]; [1250; 8108]; [4498; 7206]; [1045; 4670]; [6671; 9456]; [107; 6373]; [6834; 11140]; [6913; 9743]; [4583; 6755]; [2752; 7652]; [1871; 9889]; [7571; 10652]; [4142; 9264]; [5520; 7833]; [4553; 8044]; [8880; 11336]; [3708; 5774]; [125; 3919]; [1621; 10091]; [2397; 6148]; [1772; 10260]; [2890; 9464]; [2898; 7827]; [6781; 6941]; [2758; 10476]; [6501; 8055]; [5649; 8778]; [236; 11455]; [4119; 4153]; [5022; 5647]; [142; 4623]; [6792; 7480]; [3815; 7125]; [3709; 9358]; [259; 2175]; [561; 6677]; [5636; 7388]; [1152; 6364]; [1333; 2992]; [2114; 2803]; [8192; 10130]; [5935; 8209]; [2237; 7340]; [5043; 10257]; [6748; 6777]; [9514; 10295]; [3470; 8187]; [6561; 7301]; [3970; 6258]; [9078; 10115]; [986; 11148]; [417; 2360]; [7201; 7661]; [2192; 10199]; [1633; 2099]; [6714; 8297]; [3438; 6397]; [6247; 8831]; [1047; 6139]; [9223; 9715]; [1291; 8751]; [1162; 10815]; [668; 3110]; [636; 7736]; [1875; 5769]; [3652; 8019]; [200; 4173]; [938; 8074]; [8961; 10654]; [6070; 10073]; [867; 9362]; [1624; 5369]; [1123; 7073]; [4669; 9800]; [7258; 7764]; [2955; 9784]; [9426; 10424]; [548; 4132]; [7249; 10684]; [7968; 9617]; [7938; 10906]; [712; 3008]; [8805; 10491]; [3105; 3312]; [7297; 10351]; [4867; 10165]; [9349; 10362]; [5529; 8564]; [2318; 8567]; [855; 11580]; [4088; 9646]; [2434; 9681]; [355; 10476]; [1651; 6037]; [7224; 11162]; [6532; 7636]; [8407; 8509]; [2059; 10154]; [3; 6237]; [2303; 10514]; [3053; 5350]; [1463; 7090]; [4071; 11520]; [3608; 9544]; [5845; 10089]; [6927; 7384]; [5373; 10279]; [1956; 3990]; [1859; 10473]; [6530; 7159]; [738; 6807]; [8879; 11328]; [3655; 9740]; [8080; 9403]; [3130; 6886]; [10098; 10584]; [4015; 7050]; [7196; 9090]; [3422; 9919]; [841; 9564]; [6660; 8329]; [6107; 7591]; [1315; 2250]; [126; 10750]; [4670; 6163]; [3119; 9329]; [4604; 7795]; [1889; 4242]; [1157; 4293]; [832; 8697]; [8175; 11518]; [4813; 4936]; [9699; 9912]; [4759; 8083]; [9074; 9860]; [667; 10323]; [2510; 10160]; [2937; 3057]; [3136; 6650]; [3779; 6527]; [7767; 10353]; [7573; 10487]; [3117; 5095]; [1025; 1521]; [5955; 6015]; [1461; 10719]; [248; 8245]; [10115; 10887]; [3215; 11265]; [6257; 10517]; [2988; 6378]; [8249; 10477]; [1143; 2681]; [3577; 9402]; [2885; 8128]; [1933; 10125]; [2955; 7369]; [6815; 11195]; [4687; 5712]; [5805; 11332]; [1204; 6717]; [9289; 10929]; [1047; 2569]; [5623; 6565]; [640; 1656]; [8143; 8896]; [3193; 6379]; [2914; 6964]; [1968; 8806]; [1508; 7101]; [2005; 7153]; [2469; 9731]; [2345; 7975]; [6765; 7294]; [3019; 10171]; [104; 10694]; [1095; 5619]; [1803; 6645]; [6073; 7151]; [8579; 11304]; [833; 7312]; [29; 11459]; [215; 2015]; [6925; 11339]; [987; 11162]; [4543; 8161]; [1668; 7359]; [5594; 10307]; [2796; 11415]; [3546; 6251]; [79; 1373]; [459; 1594]; [2410; 7215]; [6183; 6915]; [4744; 11076]; [10470; 10808]; [1356; 2519]; [1724; 7641]; [2536; 7519]; [253; 6629]; [7671; 9035]; [7855; 10842]; [10558; 10628]; [2624; 6585]; [2656; 4588]; [4767; 6714]; [3963; 10861]; [8464; 8856]; [372; 10643]; [7373; 8065]; [5046; 8758]; [1157; 11327]; [5233; 10836]; [8215; 9283]; [4504; 4799]; [6656; 8424]; [3987; 5970]; [4357; 4749]; [5009; 9630]; [4004; 9357]; [7711; 11443]; [6868; 10000]; [4041; 6206]; [858; 1087]; [3786; 4933]; [5244; 11375]; [1574; 6892]; [982; 9232]; [638; 2252]; [3850; 5857]; [3972; 7540]; [1914; 6960]; [3430; 6991]; [8815; 9436]; [2212; 9808]; [4483; 9183]; [2654; 3737]; [7325; 7593]; [4295; 9132]; [291; 5527]; [9674; 11008]; [7315; 9534]; [2523; 8357]; [3330; 3727]; [814; 4521]; [437; 1565]; [51; 7945]; [3103; 10137]; [4037; 10944]; [7588; 8353]; [3331; 9964]; [2043; 2243]; [24; 3089]; [2515; 11098]; [2971; 11149]; [4789; 9990]; [3502; 11539]; [1358; 4769]; [1982; 7602]; [8052; 10150]; [4910; 11448]; [223; 2925]; [9441; 11537]; [1540; 9886]; [4926; 8948]; [282; 9921]; [1218; 7391]; [3300; 3861]; [7637; 7841]; [3344; 10549]; [3549; 6817]; [3647; 8106]; [595; 8166]; [8782; 9622]; [5358; 7824]; [1151; 9552]; [2398; 8604]; [2307; 2824]; [6038; 10966]; [1088; 2033]; [652; 4886]; [779; 11077]; [8920; 11434]; [3158; 6787]; [979; 10384]; [6154; 9047]; [1362; 3706]; [2035; 6458]; [2403; 5164]; [6208; 9283]; [2283; 9943]; [294; 7248]; [9137; 10321]; [6298; 11428]; [5740; 10346]; [8725; 9064]; [7326; 9618]; [8091; 11178]; [7571; 8668]; [4861; 9596]; [121; 10861]; [5660; 8488]; [5250; 10310]; [4871; 7281]; [4721; 9966]; [7959; 8376]; [5779; 9119]; [1101; 4846]; [3685; 8882]; [5589; 6743]; [5778; 8894]; [2473; 2846]; [4240; 6660]; [7142; 9285]; [222; 11293]; [330; 1936]; [2966; 6162]; [561; 4343]; [882; 6613]; [5198; 5582]; [3183; 8082]; [7563; 10254]; [1306; 11263]; [1903; 2851]; [5793; 10306]; [9606; 10933]; [6250; 7549]; [558; 10811]; [10821; 11201]; [2791; 6696]; [1180; 9811]; [3162; 9083]; [6400; 7493]; [6806; 8181]; [1145; 10756]; [1331; 3564]; [8077; 8381]; [1198; 10390]; [5121; 6651]; [1234; 10047]; [5752; 9901]; [2261; 7635]; [710; 10801]; [1724; 3266]; [3404; 7835]; [5458; 8673]; [7975; 11487]; [230; 10349]; [5175; 10270]; [4774; 9926]; [3396; 4941]; [1094; 9636]; [968; 4801]; [3734; 9817]; [3168; 11126]; [584; 1428]; [9398; 9425]; [1081; 1480]; [767; 10180]; [834; 4986]; [2241; 8457]; [8454; 10559]; [2421; 7112]; [7061; 8649]; [2422; 4304]; [460; 5684]; [2162; 2687]; [1513; 8657]; [1974; 2636]; [6855; 7268]; [8479; 9276]; [2844; 8908]; [5337; 6410]; [3744; 10885]; [7916; 10102]; [3475; 5742]; [3564; 9197]; [2602; 6342]; [1335; 2127]; [6915; 7669]; [3178; 8380]; [3052; 9961]; [4724; 7499]; [8151; 8814]; [2666; 9925]; [4419; 7617]; [212; 10843]; [824; 3493]; [832; 7518]; [3633; 5927]; [964; 9889]; [4383; 10589]; [1699; 2939]; [4620; 10532]; [550; 7805]; [6178; 7002]; [3155; 6302]; [7559; 11504]; [5405; 11216]; [5333; 5486]; [2793; 11548]; [9202; 11310]; [3603; 10599]; [2342; 6953]; [922; 6630]; [1543; 2776]; [352; 11203]; [4958; 6740]; [3430; 5194]; [933; 3786]; [1063; 9494]; [7539; 10478]; [4917; 10122]; [4920; 9639]; [254; 465]; [2247; 4033]; [862; 2041]; [8184; 10401]; [5481; 9117]; [219; 11209]; [1031; 6923]; [2669; 8637]; [3412; 6466]; [5466; 7304]; [3379; 4074]; [4996; 8321]; [7463; 7608]; [5663; 7818]; [794; 6229]; [1795; 9012]; [6965; 7331]; [1762; 6620]; [2097; 2180]; [194; 5675]; [2745; 7319]; [5112; 8654]; [7333; 8666]; [562; 7010]; [598; 6667]; [4827; 9424]; [5892; 9748]; [66; 9812]; [1253; 4649]; [780; 1985]; [8930; 10756]; [3892; 8392]; [848; 6815]; [755; 4372]; [8783; 11460]; [1549; 4418]; [595; 9752]; [4759; 4944]; [3733; 10964]; [1523; 6580]; [1203; 7164]; [5255; 6279]; [1946; 4993]; [490; 9177]; [5130; 10714]; [2601; 6385]; [791; 5907]; [6895; 7285]; [4995; 10297]; [2340; 5297]; [1667; 6709]; [2570; 8203]; [5095; 10878]; [3459; 11519]; [3161; 8644]; [3084; 5980]; [4398; 9260]; [509; 9577]; [3750; 5252]; [8409; 11003]; [4610; 10082]; [4419; 11268]; [7409; 9576]; [3400; 4873]; [5208; 5278]; [9468; 10758]; [7123; 8990]; [476; 10568]; [11388; 11404]; [4662; 7239]; [5720; 6392]; [8084; 8210]; [2927; 8598]; [864; 3510]; [1304; 7946]; [4139; 4431]; [1023; 7704]; [8805; 11353]; [7277; 9807]; [1305; 4384]; [3251; 3999]; [7146; 11044]; [3317; 11412]; [115; 9249]; [8107; 10264]; [3322; 6094]; [4447; 5715]; [6517; 7086]; [6522; 8184]; [5847; 8769]; [1042; 2469]; [3624; 5678]; [487; 8074]; [1108; 10636]; [2528; 3789]; [10106; 10614]; [2570; 7398]; [3117; 7567]; [2181; 10097]; [10162; 10923]; [981; 7828]; [3084; 5175]; [6012; 9021]; [5867; 6388]; [4205; 8060]; [8415; 10767]; [8322; 8324]; [2463; 5996]; [2831; 10364]; [3242; 9898]; [7937; 11142]; [2987; 8625]; [3142; 6284]; [2028; 9451]; [239; 3434]; [8937; 9536]; [5066; 7049]; [7832; 10567]; [2978; 10010]; [6089; 7147]; [4540; 11140]; [3042; 5299]; [3255; 6346]; [8029; 11081]; [4197; 7768]; [6487; 11357]; [9045; 10008]; [3656; 10827]; [829; 7033]; [3501; 6752]; [796; 4641]; [6623; 7431]; [2377; 3569]; [4921; 10458]; [6232; 7051]; [5650; 10079]; [3862; 7670]; [603; 8383]; [8158; 8643]; [1991; 9168]; [4140; 6860]; [136; 2501]; [1404; 9600]; [8680; 11199]; [1221; 9893]; [1489; 4985]; [3426; 4484]; [5131; 7420]; [2541; 9985]; [1864; 7491]; [2387; 9518]; [367; 1094]; [1153; 2003]; [4138; 6383]; [4191; 9427]; [2820; 6367]; [2107; 10632]; [4686; 9406]; [5844; 9921]; [4651; 11105]; [3408; 5756]; [574; 11371]; [4627; 9176]; [706; 910]; [10095; 11124]; [759; 10370]; [1597; 11469]; [74; 10267]; [2560; 7352]; [4184; 8606]; [3315; 6696]; [3864; 6938]; [287; 4898]; [7998; 10589]; [4584; 9479]; [5957; 7704]; [6227; 11537]; [501; 8799]; [6915; 8905]; [1750; 5268]; [8935; 10913]; [9031; 11375]; [877; 5114]; [2250; 3339]; [8252; 10856]; [1616; 5453]; [5287; 7128]; [3707; 9556]; [9462; 10780]; [8340; 9922]; [799; 6362]; [952; 3194]; [4596; 6456]; [6342; 10147]; [8465; 8870]; [3873; 10033]; [3007; 7640]; [3969; 4079]; [8455; 11565]; [1292; 6645]; [2663; 4043]; [4676; 11296]; [3970; 10316]; [104; 8173]; [1747; 7979]; [1946; 11572]; [263; 5951]; [8597; 10867]; [4142; 8329]; [1961; 2431]; [1926; 9792]; [5761; 6206]; [2175; 6332]; [9083; 9979]; [2366; 3648]; [399; 11100]; [9017; 9359]; [4787; 9383]; [4842; 9090]; [1759; 1923]; [203; 11161]; [6333; 11508]; [3025; 4408]; [9108; 11325]; [1352; 6645]; [1345; 5474]; [7881; 10673]; [4948; 5702]; [3031; 5327]; [6629; 8244]; [2859; 5809]; [9555; 11263]; [185; 3011]; [939; 4382]; [3236; 4978]; [6875; 8650]; [2975; 3890]; [712; 2878]; [4347; 10558]; [400; 7487]; [6491; 7906]; [801; 1415]; [4376; 9798]; [3854; 10625]; [4035; 7253]; [3625; 10573]; [113; 1014]; [4208; 4737]; [2132; 9213]; [3596; 9054]; [1536; 7647]; [5746; 10354]; [3176; 3772]; [4399; 4682]; [5514; 10785]; [6042; 6740]; [1503; 6009]; [5614; 11366]; [1469; 9808]; [404; 3822]; [2836; 9716]; [992; 3992]; [5942; 6509]; [5329; 7972]; [2423; 5605]; [1301; 4747]; [251; 6209]; [7379; 11320]; [903; 8084]; [5259; 9862]; [9118; 11588]; [835; 8889]; [1425; 10640]; [763; 907]; [6751; 8718]; [3129; 6935]; [3659; 3717]; [2910; 8325]; [3947; 5847]; [6400; 11120]; [3090; 6980]; [920; 5405]; [4410; 11206]; [4646; 7541]; [2118; 10230]; [2252; 7012]; [4215; 8486]; [2785; 9727]; [3991; 8778]; [5261; 5370]; [5708; 6813]; [902; 3294]; [5666; 6587]; [0; 11070]; [1557; 4686]; [1935; 8244]; [9125; 10823]; [4577; 11504]; [7065; 9416]; [2051; 5194]; [564; 10065]; [4843; 9933]; [8743; 10906]; [6150; 9790]; [7682; 11455]; [8725; 9576]; [700; 5415]; [4098; 5992]; [1085; 5980]; [2060; 2654]; [1412; 7314]; [5307; 8697]; [6984; 7333]; [3191; 9610]; [1224; 11400]; [808; 2854]; [2123; 6736]; [4972; 7845]; [4571; 7501]; [125; 2797]; [10054; 10481]; [7841; 8078]; [4639; 5915]; [4470; 10078]; [20; 7884]; [273; 6078]; [3883; 9729]; [2732; 8133]; [3749; 7285]; [7209; 8740]; [3260; 10504]; [3039; 8815]; [3994; 10499]; [6487; 8755]; [702; 11072]; [2065; 2193]; [517; 9040]; [3740; 6418]; [5928; 10454]; [2810; 5730]; [134; 9275]; [3706; 10971]; [6672; 11137]; [841; 10857]; [3516; 10093]; [2269; 2373]; [6066; 8883]; [899; 8583]; [3915; 8112]; [1156; 9148]; [4081; 7061]; [1359; 9507]; [5760; 8776]; [5161; 9945]; [6372; 9340]; [7251; 10440]; [2726; 2999]; [6841; 8098]; [544; 7079]; [1051; 8573]; [8336; 10635]; [10380; 10785]; [5302; 9022]; [6489; 11029]; [4529; 6820]; [4615; 8092]; [9627; 9989]; [4212; 4669]; [3576; 4458]; [3403; 6193]; [8034; 9896]; [9275; 11385]; [466; 1480]; [5531; 7919]; [2857; 7373]; [5324; 10824]; [1391; 6705]; [7122; 7535]; [5711; 6574]; [391; 5278]; [6777; 9752]; [11032; 11478]; [1693; 4791]; [6613; 8597]; [4474; 9341]; [5988; 8545]; [5463; 9855]; [8895; 11514]; [6987; 10501]; [131; 628]; [5901; 9300]; [10533; 10976]; [2964; 7620]; [16; 6505]; [854; 1188]; [2376; 10833]; [2130; 7394]; [3183; 3951]; [4120; 10691]; [6634; 9824]; [4459; 10911]; [2736; 5891]; [738; 1952]; [333; 4118]; [9809; 10514]; [2059; 9032]; [10736; 10904]; [4876; 5722]; [1956; 5901]; [4788; 9285]; [7188; 11514]; [10600; 11043]; [9483; 11283]; [2205; 2441]; [11480; 11587]; [10850; 11191]; [10891; 11192]; [867; 10818]; [3140; 6856]; [1423; 2405]; [1077; 8184]; [7338; 11458]; [1408; 4002]; [1416; 11033]; [2481; 4187]; [4840; 5661]; [6176; 10420]; [257; 8041]; [9496; 11114]; [4513; 6205]; [3334; 9731]; [7253; 10754]; [5771; 9553]; [2487; 4382]; [5040; 9105]; [2363; 2626]; [2397; 7872]; [188; 9375]; [778; 3956]; [6686; 8428]; [5540; 7176]; [9244; 11243]; [992; 8611]; [7468; 9595]; [2265; 8884]; [928; 11070]; [2275; 9572]; [839; 10998]; [392; 3139]; [1450; 6456]; [4404; 5107]; [859; 5988]; [5341; 6185]; [4692; 5739]; [948; 4525]; [5810; 9107]; [1978; 5794]; [1572; 5106]; [6174; 10323]; [2564; 5137]; [1473; 10762]; [8942; 9750]; [1253; 2128]; [1626; 4588]; [2376; 5840]; [3121; 4496]; [2434; 9982]; [3900; 4234]; [3998; 4769]; [1475; 8556]; [9401; 11203]; [9440; 11131]; [992; 10839]; [1690; 8895]; [1867; 3869]; [9077; 11264]; [6152; 11099]; [6344; 7105]; [2043; 3536]; [313; 10901]; [797; 6584]; [6779; 11197]; [3293; 8521]; [2352; 4291]; [149; 3330]; [897; 7919]; [6205; 7700]; [2664; 5317]; [2354; 10753]; [331; 2812]; [3260; 9512]; [2665; 5919]; [3411; 9681]; [2227; 5693]; [4594; 7782]; [1727; 11005]; [2847; 11036]; [4366; 8332]; [593; 2216]; [536; 5846]; [619; 1185]; [2750; 11103]; [319; 1647]; [163; 353]; [5412; 9353]; [7292; 9072]; [4200; 9733]; [1922; 6935]; [3606; 8994]; [7463; 9893]; [3199; 11087]; [3856; 6890]; [52; 5625]; [4977; 9775]; [1543; 7289]; [3566; 9568]; [1260; 11138]; [737; 2695]; [787; 2058]; [138; 3864]; [4403; 10442]; [7204; 8851]; [2254; 6334]; [14; 6272]; [1254; 10569]; [4557; 7876]; [11; 5974]; [3006; 11042]; [1416; 8618]; [845; 9583]; [6822; 8934]; [8775; 9720]; [2676; 7905]; [4828; 11530]; [1132; 5826]; [8589; 9715]; [7345; 7928]; [3890; 10981]; [5763; 9529]; [7248; 7995]; [6657; 7527]; [6531; 8354]; [1369; 8398]; [645; 1951]; [614; 2638]; [1080; 1879]; [140; 6919]; [6399; 10120]; [3699; 8353]; [3035; 8373]; [5251; 8041]; [3902; 7958]; [5433; 9775]; [3700; 11207]; [2787; 9025]; [7308; 8396]; [2224; 3435]; [6623; 8293]; [6520; 11578]; [4005; 8810]; [856; 8937]; [2616; 9328]; [9876; 11148]; [5111; 7630]; [10266; 10579]; [5942; 7558]; [2843; 5520]; [407; 2136]; [2545; 7583]; [7352; 8294]; [4050; 8179]; [1963; 4949]; [745; 1377]; [7654; 8632]; [1489; 9230]; [4816; 10341]; [2978; 10067]; [2362; 5597]; [6969; 11158]; [1761; 3687]; [4911; 6414]; [1981; 5905]; [4104; 5382]; [5907; 8853]; [1862; 10909]; [2911; 5812]; [6545; 8386]; [8112; 9860]; [3501; 6809]; [8354; 9393]; [2056; 10401]; [4738; 10808]; [406; 756]; [5209; 10393]; [3335; 8210]; [8593; 8628]; [2161; 11326]; [2347; 4134]; [344; 9677]; [3124; 7209]; [1837; 8758]; [8755; 10087]; [498; 695]; [7839; 9859]; [3675; 8251]; [5566; 7405]; [7563; 7709]; [239; 2686]; [56; 3733]; [3049; 7974]; [298; 9682]; [4410; 4684]; [7436; 9065]; [2290; 9642]; [301; 2783]; [4845; 8776]; [299; 6120]; [4344; 10480]; [3943; 10136]; [4934; 7313]; [7124; 8012]; [18; 10796]; [8615; 9676]; [6242; 10024]; [2653; 4217]; [7267; 10949]; [7736; 9707]; [4026; 8077]; [1999; 9062]; [6173; 9106]; [4117; 7441]; [9194; 9733]; [4547; 7025]; [8072; 8875]; [1531; 10125]; [9994; 10725]; [11078; 11099]; [778; 8575]; [1645; 3996]; [8393; 10394]; [769; 7331]; [4036; 8391]; [3788; 4125]; [902; 10304]; [9610; 10735]; [1819; 9252]; [3475; 9263]; [3757; 5943]; [2909; 4156]; [3406; 4962]; [2750; 9761]; [5711; 9583]; [3598; 11548]; [2973; 11496]; [1791; 4171]; [6266; 7361]; [8; 7768]; [2069; 9777]; [5621; 10040]; [281; 952]; [8725; 10170]; [4108; 8802]; [3736; 6944]; [905; 6414]; [7343; 11078]; [2616; 10296]; [6377; 10733]; [5508; 8069]; [460; 5017]; [6654; 7069]; [6344; 8341]; [1640; 9263]; [10418; 11187]; [1832; 9433]; [3472; 5558]; [2668; 3289]; [9199; 11150]; [2263; 5455]; [4625; 11364]; [5895; 7956]; [724; 3750]; [1604; 9956]; [2134; 6738]; [2783; 4932]; [10853; 11465]; [478; 10110]; [4903; 9773]; [9872; 10088]; [5362; 7843]; [2874; 7679]; [2559; 8607]; [4216; 6591]; [1525; 8350]; [2710; 8776]; [623; 9710]; [2742; 5281]; [5192; 6119]; [1551; 6538]; [2932; 11040]; [4391; 8285]; [7529; 9497]; [8747; 10063]; [3661; 4275]; [3953; 8059]; [2547; 7442]; [1745; 6754]; [1554; 3022]; [1829; 11363]; [1421; 7596]; [8803; 10345]; [2237; 9845]; [4066; 8875]; [2161; 4373]; [2911; 5625]; [7854; 11135]; [9232; 9704]; [7823; 9570]; [8948; 9945]; [3377; 4866]; [2542; 7448]; [417; 1482]; [3775; 11328]; [4921; 10328]; [1275; 3233]; [5118; 10842]; [3181; 4173]; [3680; 5806]; [3585; 8952]; [4364; 7936]; [4923; 9620]; [9255; 11004]; [3674; 10872]; [1427; 9639]; [2122; 4768]; [2979; 10081]; [2055; 3546]; [5694; 6464]; [716; 8315]; [88; 4582]; [3458; 9527]; [2135; 8413]; [6661; 8882]; [10233; 10578]; [5904; 7213]; [5136; 11017]; [3858; 3984]; [5155; 8815]; [965; 8238]; [10633; 11451]; [5585; 8399]; [2957; 8198]; [961; 5086]; [333; 5517]; [7805; 10438]; [11031; 11497]; [6702; 8132]; [9539; 9608]; [2543; 6868]; [1349; 10860]; [4568; 9220]; [7794; 10279]; [4962; 6141]; [2308; 6247]; [1690; 7366]; [9291; 9479]; [4210; 9697]; [696; 3475]; [2308; 9630]; [2750; 10729]; [9097; 9613]; [95; 1565]; [504; 6688]; [5008; 8364]; [4767; 6023]; [3302; 8209]; [9236; 10896]; [6655; 11295]; [1765; 8829]; [5136; 10212]; [1569; 8136]; [1381; 8839]; [483; 1273]; [2348; 5622]; [2219; 3522]; [5343; 11444]; [4863; 7609]; [6210; 6865]; [2915; 7921]; [9229; 10075]; [7080; 10131]; [2216; 3224]; [4524; 11526]; [4806; 10458]; [2559; 9225]; [945; 6407]; [6134; 11192]; [1158; 7454]; [8501; 10275]; [342; 3670]; [371; 9326]; [1343; 6453]; [6698; 10187]; [2734; 10919]; [3203; 9677]; [1084; 5411]; [6749; 9371]; [3480; 9396]; [3941; 10545]; [1355; 9846]; [801; 2090]; [3695; 7106]; [3724; 5592]; [6272; 9971]; [1261; 9430]; [3498; 3559]; [1765; 4991]; [2479; 10750]; [4867; 10710]; [3314; 10797]; [4453; 8626]; [3742; 9554]; [5524; 5732]; [4330; 9724]; [2181; 9780]; [5429; 8878]; [8569; 10917]; [2152; 4878]; [3992; 6696]; [6323; 6876]; [6199; 8530]; [4354; 11249]; [870; 2984]; [10083; 11252]; [5759; 7477]; [3911; 4263]; [2983; 10818]; [4628; 7287]; [493; 6417]; [9049; 9460]; [1150; 2220]; [1571; 10386]; [7558; 11179]; [1416; 2901]; [2047; 10315]; [9444; 9989]; [7428; 8854]; [270; 11448]; [3004; 5629]; [6455; 11502]; [1541; 5232]; [223; 10878]; [2635; 3288]; [4149; 7410]; [4496; 10901]; [10129; 10442]; [1469; 6295]; [879; 3046]; [6109; 7832]; [10180; 10380]; [4731; 6230]; [182; 4811]; [5999; 6913]; [2549; 10310]; [9586; 9641]; [4732; 9838]; [1315; 9211]; [6721; 10281]; [3330; 4459]; [1157; 1455]; [0; 8712]; [6029; 8253]; [6870; 8869]; [487; 2414]; [8743; 11581]; [5252; 8561]; [3033; 3714]; [637; 2358]; [7496; 9496]; [6623; 9342]; [8703; 11401]; [6647; 7484]; [3784; 4787]; [2263; 3658]; [72; 3488]; [2840; 5921]; [40; 4704]; [2219; 10906]; [9657; 10581]; [3464; 9131]; [6439; 9413]; [625; 10992]; [5635; 11308]; [7748; 9343]; [160; 6691]; [714; 3113]; [5602; 8916]; [686; 5983]; [472; 6963]; [6561; 7309]; [4042; 8586]; [3548; 5045]; [2735; 5696]; [3829; 10922]; [1083; 5804]; [2571; 10203]; [6019; 10143]; [10850; 11248]; [387; 624]; [1510; 10752]; [1911; 5434]; [2936; 8611]; [1729; 9335]; [6706; 7259]; [8106; 9559]; [2034; 6938]; [2213; 8401]; [7517; 9918]; [2717; 3962]; [26; 5721]; [1738; 3412]; [32; 2503]; [3855; 4572]; [7; 11306]; [36; 9792]; [3739; 4589]; [843; 5162]; [7899; 8707]; [583; 9961]; [6001; 8382]; [2145; 4675]; [3827; 10071]; [897; 5398]; [2767; 10091]; [7283; 9872]; [5442; 10081]; [8109; 9456]; [3816; 11410]; [2021; 5548]; [2790; 4598]; [3849; 10769]; [7832; 7835]; [5924; 6068]; [83; 9207]; [1969; 8017]; [1530; 11353]; [922; 6744]; [4923; 10051]; [1778; 2006]; [3713; 7848]; [4988; 8948]; [2689; 7525]; [4479; 6627]; [7262; 7840]; [10240; 11049]; [6919; 10884]; [8306; 8815]; [2148; 4168]; [1329; 7283]; [4699; 5812]; [5077; 10868]; [960; 4942]; [1361; 6040]; [4479; 6977]; [3887; 9317]; [958; 5246]; [7988; 10576]; [240; 2751]; [1911; 10240]; [7231; 11536]; [5806; 10869]; [7289; 8508]; [6664; 9210]; [4590; 10349]; [9103; 9859]; [660; 10665]; [409; 6882]; [125; 707]; [5355; 9657]; [2206; 9784]; [8190; 11060]; [5317; 6921]; [3143; 10862]; [1623; 6925]; [7925; 8318]; [1075; 8813]; [7423; 10551]; [3536; 7531]; [79; 9757]; [5769; 10586]; [8755; 11404]; [326; 3972]; [830; 5195]; [6296; 6316]; [2008; 9368]; [518; 4142]; [1543; 10729]; [538; 4794]; [856; 3383]; [2191; 5288]; [2230; 10878]; [379; 10399]; [1597; 10965]; [1024; 4687]; [2405; 2773]; [1861; 2151]; [5852; 9658]; [1329; 2290]; [9709; 9803]; [5170; 9072]; [2393; 4641]; [9775; 11554]; [718; 3799]; [5783; 10992]; [5975; 11162]; [6211; 6743]; [3358; 4734]; [1538; 2814]; [4719; 7106]; [2384; 10190]; [304; 1715]; [8798; 11050]; [5966; 6912]; [6334; 11280]; [2146; 11530]; [327; 386]; [6025; 7492]; [493; 8003]; [6424; 11173]; [165; 2310]; [4564; 7168]; [5186; 6922]; [3656; 8713]; [160; 5349]; [2477; 7321]; [1940; 7116]; [1790; 10555]; [682; 7151]; [3204; 3893]; [7102; 10455]]) + + + (* Grouping test cases *) + let suite = "Test Suite for constructGridLayout" >::: [ + + "test1" >:: test1; + "test2" >:: test2; + "test3" >:: test3; + "test4" >:: test4; + ] + + + (* Running the tests *) + let () = run_test_tt_main suite +end diff --git a/construct_2d_grid_matching_graph_layout/scala_tests/MySuite.scala b/construct_2d_grid_matching_graph_layout/scala_tests/MySuite.scala new file mode 100644 index 0000000000000000000000000000000000000000..ca9ca35d5f57fc31cb364b6db3a7d968c81cf32d --- /dev/null +++ b/construct_2d_grid_matching_graph_layout/scala_tests/MySuite.scala @@ -0,0 +1,20 @@ + +class MySuite extends munit.FunSuite { + + test("test1") { + assertEquals(Main.constructGridLayout(4,List(List(0,1),List(0,2),List(1,3),List(2,3))), List(List(3,1),List(2,0))) + } + + test("test2") { + assertEquals(Main.constructGridLayout(5,List(List(0,1),List(1,3),List(2,3),List(2,4))), List(List(4,2,3,1,0))) + } + + test("test3") { + assertEquals(Main.constructGridLayout(9,List(List(0,1),List(0,4),List(0,5),List(1,7),List(2,3),List(2,4),List(2,5),List(3,6),List(4,6),List(4,7),List(6,8),List(7,8))), List(List(8,6,3),List(7,4,2),List(1,0,5))) + } + + test("test4") { + assertEquals(Main.constructGridLayout(11591,List(List(1238, 8537), List(4450, 5726), List(341, 10241), List(4445, 5382), List(4722, 7353), List(9424, 9768), List(2695, 8338), List(2242, 7804), List(4943, 6009), List(2300, 4776), List(3354, 6439), List(448, 10488), List(1725, 7470), List(1004, 5458), List(4997, 9628), List(6882, 11219), List(5021, 11153), List(3524, 8139), List(7163, 11057), List(3044, 10720), List(1717, 7178), List(2039, 2533), List(2642, 3735), List(3154, 5603), List(330, 7742), List(743, 3939), List(2725, 8873), List(1725, 3282), List(6991, 8479), List(1225, 6342), List(860, 1491), List(5249, 5661), List(1670, 6958), List(1593, 5048), List(9512, 11412), List(8447, 11088), List(6, 5551), List(2657, 5147), List(3777, 5178), List(4022, 10644), List(2341, 5850), List(8662, 9929), List(3698, 5070), List(10771, 11228), List(5332, 7766), List(8974, 10955), List(7066, 9188), List(245, 8169), List(5441, 7709), List(4224, 7745), List(4569, 11163), List(4774, 5933), List(7184, 8096), List(3379, 9612), List(6118, 10553), List(1881, 7154), List(6695, 10564), List(3472, 6770), List(3589, 7355), List(106, 2698), List(4889, 6041), List(6363, 10734), List(1943, 4999), List(2529, 11512), List(3900, 8910), List(5015, 7843), List(3205, 7365), List(629, 8108), List(3949, 8048), List(3054, 4163), List(6158, 6545), List(1374, 5229), List(832, 11096), List(149, 1240), List(1683, 6738), List(680, 876), List(1853, 3951), List(2599, 5461), List(5967, 9579), List(577, 1128), List(6710, 7408), List(2510, 6143), List(8958, 11495), List(4588, 11539), List(10997, 11301), List(10596, 10957), List(5080, 5585), List(2350, 11523), List(3797, 7253), List(6921, 8759), List(4829, 5185), List(1971, 2078), List(2181, 3608), List(5646, 7659), List(135, 379), List(4737, 5596), List(2808, 3706), List(5925, 10457), List(8342, 8903), List(365, 1780), List(1553, 6641), List(8614, 10530), List(4682, 7767), List(573, 5866), List(294, 6451), List(4502, 8331), List(1947, 6945), List(1513, 10625), List(3565, 10636), List(328, 8664), List(1901, 3567), List(7492, 10022), List(539, 9638), List(1198, 2104), List(5118, 10899), List(354, 436), List(6670, 10587), List(1912, 10492), List(599, 4404), List(6595, 7969), List(2987, 4364), List(2997, 5052), List(5414, 10668), List(438, 2766), List(99, 3300), List(1372, 9989), List(1365, 8818), List(4236, 9878), List(6474, 6861), List(9027, 11584), List(3578, 8188), List(9457, 11168), List(1761, 5785), List(8589, 11358), List(6280, 9247), List(5494, 9092), List(1237, 10703), List(1832, 7880), List(6550, 10828), List(203, 6282), List(387, 1673), List(5175, 10278), List(6207, 8210), List(3375, 4072), List(5923, 8451), List(4739, 6715), List(704, 7207), List(5802, 10376), List(4432, 9416), List(6550, 7795), List(2346, 9040), List(4265, 4580), List(999, 4122), List(937, 3244), List(73, 924), List(10525, 10635), List(5456, 5952), List(91, 749), List(4136, 5109), List(1069, 8244), List(589, 5163), List(26, 10153), List(3265, 11417), List(5975, 8210), List(6940, 10582), List(1990, 8065), List(1491, 6432), List(1897, 5622), List(4378, 8025), List(1093, 3353), List(2853, 10914), List(921, 4589), List(7148, 8252), List(3447, 7866), List(28, 7166), List(2860, 4134), List(6215, 8047), List(1428, 9466), List(10946, 11200), List(5246, 8185), List(5251, 8529), List(5143, 9935), List(1751, 4642), List(1405, 10421), List(1535, 9713), List(9470, 10194), List(633, 11073), List(4931, 9463), List(3241, 9087), List(1058, 3897), List(6968, 8442), List(1037, 9436), List(90, 6889), List(1308, 7455), List(3918, 6296), List(3833, 10130), List(1987, 9995), List(4537, 8031), List(318, 2552), List(4545, 6394), List(87, 175), List(3132, 4606), List(1544, 3009), List(4071, 6511), List(8044, 8551), List(0, 930), List(6957, 10131), List(8103, 9131), List(2196, 4103), List(4658, 7210), List(8071, 10347), List(9643, 11411), List(5173, 7841), List(2101, 4216), List(757, 9395), List(2746, 4920), List(330, 2912), List(8038, 11338), List(5196, 6512), List(5481, 9125), List(30, 9066), List(2433, 3642), List(4797, 5460), List(659, 5073), List(7159, 11369), List(10459, 10657), List(5044, 6091), List(7012, 7155), List(1742, 5222), List(288, 6823), List(625, 9626), List(1233, 1403), List(281, 9816), List(7526, 9096), List(8374, 10883), List(3300, 6610), List(2734, 3755), List(9588, 10549), List(2849, 8431), List(1425, 11372), List(5372, 8027), List(552, 11218), List(3700, 6702), List(1607, 9319), List(506, 7840), List(473, 5448), List(49, 3400), List(2031, 8334), List(7913, 11585), List(3426, 3874), List(537, 6372), List(3215, 9289), List(1431, 3616), List(7043, 9450), List(7313, 11031), List(2803, 8032), List(695, 10341), List(10141, 11263), List(3895, 6015), List(373, 7846), List(1434, 10680), List(1890, 11485), List(9357, 10400), List(2242, 9658), List(3820, 4151), List(4379, 5835), List(7276, 8116), List(932, 6497), List(4168, 11250), List(4133, 5779), List(4370, 11384), List(2128, 10495), List(7206, 9225), List(3412, 9402), List(2813, 8319), List(972, 7774), List(970, 11111), List(8005, 10369), List(1040, 6188), List(8010, 10713), List(6291, 9599), List(1602, 11553), List(9129, 10519), List(4888, 7001), List(4275, 8464), List(37, 4463), List(570, 11342), List(1083, 5511), List(1334, 9294), List(3108, 7863), List(10836, 11249), List(1519, 8293), List(22, 6060), List(2869, 4814), List(3636, 7201), List(3476, 9952), List(5666, 9897), List(396, 1548), List(5939, 8743), List(6801, 10236), List(5403, 7982), List(4587, 9116), List(4750, 10046), List(5751, 8665), List(3946, 8531), List(4030, 6724), List(301, 11460), List(7455, 9124), List(228, 3253), List(8624, 11299), List(135, 810), List(2588, 8335), List(1165, 4331), List(63, 11295), List(3396, 4307), List(379, 6805), List(1329, 8145), List(1812, 11497), List(1218, 10758), List(5237, 9733), List(616, 5994), List(1017, 6338), List(7249, 11099), List(5250, 7716), List(1168, 9890), List(10264, 10403), List(4531, 7248), List(9294, 11070), List(5987, 10611), List(2406, 11081), List(5326, 8650), List(2753, 5904), List(4618, 6843), List(2006, 4923), List(5708, 8163), List(932, 6765), List(5911, 8522), List(5945, 7352), List(962, 2443), List(1027, 3592), List(7912, 8945), List(9935, 11224), List(6685, 10545), List(5564, 11043), List(2293, 6077), List(1013, 8797), List(2487, 7074), List(5773, 8184), List(9206, 11199), List(176, 7519), List(3882, 5997), List(4467, 8902), List(3565, 3846), List(1605, 6807), List(388, 9095), List(8913, 10573), List(5986, 9581), List(948, 7217), List(1905, 3312), List(1722, 4359), List(2739, 2757), List(3621, 10544), List(3366, 9271), List(878, 9861), List(9902, 11060), List(4711, 5448), List(4420, 8682), List(9117, 10753), List(86, 4219), List(7816, 8432), List(5631, 8077), List(7434, 8138), List(8554, 11579), List(1519, 2495), List(2463, 4744), List(844, 3080), List(1269, 2320), List(4758, 8677), List(8247, 10870), List(5759, 6542), List(4078, 8918), List(4699, 11480), List(1796, 10882), List(9027, 11210), List(1052, 7166), List(3973, 7589), List(790, 8886), List(5026, 6398), List(2908, 8019), List(4188, 5299), List(10349, 11375), List(2761, 10975), List(1765, 6284), List(1538, 7059), List(3095, 3681), List(4471, 5587), List(6962, 8678), List(5653, 6496), List(3414, 9288), List(4959, 8559), List(3066, 5572), List(6698, 10325), List(2477, 8183), List(5856, 9484), List(7065, 8806), List(1284, 9744), List(2903, 7244), List(6222, 10746), List(740, 1952), List(7159, 9572), List(275, 6319), List(10799, 11180), List(5078, 9540), List(2986, 5966), List(5288, 11070), List(1680, 6711), List(6279, 8247), List(5379, 6270), List(312, 3168), List(6309, 10341), List(3480, 9884), List(512, 2475), List(4570, 11204), List(6189, 8704), List(3262, 7712), List(7173, 8874), List(1970, 8917), List(304, 5155), List(3193, 3411), List(6954, 8012), List(5175, 9099), List(3380, 9653), List(3060, 10237), List(3939, 11337), List(3626, 6676), List(3055, 3477), List(1594, 3153), List(10007, 10806), List(1810, 7881), List(6445, 9074), List(1410, 3975), List(6043, 10757), List(4883, 5665), List(10112, 10226), List(4355, 8929), List(5074, 7862), List(626, 6495), List(192, 10175), List(3200, 3427), List(242, 9538), List(8461, 9778), List(9765, 10118), List(1728, 5196), List(2359, 8446), List(5096, 7062), List(7618, 9466), List(2415, 9509), List(7233, 8874), List(3074, 7610), List(319, 5412), List(415, 5120), List(2839, 7743), List(6479, 7099), List(2535, 3545), List(2902, 8442), List(474, 9083), List(469, 2323), List(7003, 9701), List(6998, 9357), List(4792, 8125), List(559, 10884), List(3174, 3653), List(8671, 10503), List(5911, 8685), List(4166, 8602), List(3192, 8396), List(7268, 7905), List(1972, 11167), List(358, 9847), List(11311, 11438), List(299, 6234), List(6744, 7905), List(4593, 7134), List(820, 5182), List(3775, 7441), List(2849, 8407), List(4237, 9192), List(1103, 11105), List(4553, 4702), List(2751, 4085), List(1650, 4858), List(5016, 5897), List(6824, 9712), List(6750, 11483), List(5048, 8064), List(8969, 10668), List(552, 9689), List(1087, 6815), List(8272, 8296), List(6255, 10723), List(2057, 3115), List(3741, 11590), List(7375, 10754), List(4610, 7838), List(3794, 8972), List(3137, 3747), List(4165, 4189), List(1538, 3489), List(3574, 3721), List(9725, 11361), List(859, 7338), List(3792, 5112), List(1452, 7852), List(5113, 8839), List(3633, 4301), List(2716, 11045), List(1095, 6302), List(7323, 10190), List(8818, 9344), List(2, 4684), List(9315, 10150), List(1908, 5624), List(1252, 10423), List(436, 10803), List(3027, 5430), List(1028, 2047), List(3142, 3690), List(1216, 11143), List(7477, 11007), List(4542, 5990), List(3981, 7643), List(8246, 9303), List(691, 2627), List(71, 9335), List(3698, 10738), List(2710, 6662), List(6287, 8702), List(5043, 6915), List(3517, 6196), List(5320, 5503), List(5543, 11402), List(2618, 7073), List(6751, 7116), List(9340, 11496), List(3425, 8859), List(4567, 10369), List(3132, 4850), List(2980, 5210), List(2820, 7961), List(2577, 10455), List(1639, 9906), List(1830, 7222), List(3354, 7114), List(1169, 7513), List(2069, 2320), List(2571, 3470), List(4159, 5821), List(1100, 2458), List(6332, 8071), List(9477, 10454), List(2562, 6390), List(2283, 6975), List(3747, 4564), List(1042, 8869), List(6243, 8753), List(7260, 11315), List(6117, 10334), List(2256, 5529), List(6824, 7752), List(1103, 6112), List(6700, 10160), List(9093, 10464), List(4769, 6689), List(4589, 11417), List(969, 6297), List(6916, 7691), List(474, 9701), List(2432, 10831), List(4426, 7454), List(6327, 7296), List(364, 5399), List(5193, 9087), List(5373, 7742), List(4036, 9928), List(3079, 5165), List(245, 6616), List(4665, 6689), List(5463, 7635), List(1695, 2617), List(10514, 10958), List(4936, 11124), List(886, 10584), List(7859, 8210), List(8173, 10063), List(2765, 5914), List(1845, 2561), List(6022, 8538), List(8386, 11110), List(2820, 10539), List(3291, 5206), List(762, 5795), List(450, 10404), List(4237, 9810), List(6394, 8117), List(2590, 3846), List(413, 4106), List(2302, 7351), List(8092, 10259), List(6325, 6445), List(160, 7797), List(4476, 6012), List(8058, 8396), List(1280, 10457), List(4632, 10689), List(4977, 6937), List(3033, 4015), List(3015, 9071), List(5025, 10391), List(1692, 7957), List(1203, 7766), List(9262, 10003), List(1111, 1761), List(2477, 5231), List(5876, 8662), List(2103, 6710), List(8662, 9449), List(1747, 5385), List(3935, 8667), List(5485, 8282), List(3069, 6274), List(10132, 10990), List(4177, 8954), List(5018, 9570), List(1007, 10456), List(787, 5986), List(4087, 6028), List(1351, 1598), List(9434, 11399), List(4272, 11443), List(4241, 9878), List(4580, 9344), List(2801, 10431), List(5703, 6640), List(588, 1612), List(335, 1166), List(7261, 10280), List(8596, 11431), List(2584, 8861), List(5233, 6876), List(3294, 4298), List(3981, 8611), List(5092, 10808), List(6212, 10839), List(8829, 10851), List(4525, 7728), List(762, 7218), List(2935, 5304), List(519, 7460), List(357, 9384), List(1262, 5289), List(2915, 8035), List(10007, 11237), List(255, 4943), List(3936, 5054), List(2771, 7532), List(5145, 10038), List(3925, 6393), List(10368, 11401), List(4394, 9315), List(8377, 8633), List(6295, 9911), List(1436, 9010), List(1715, 2009), List(5660, 9171), List(2080, 6079), List(834, 7629), List(5900, 11260), List(5587, 6599), List(4418, 10059), List(2580, 7533), List(765, 6711), List(5928, 10275), List(3839, 10382), List(7056, 7915), List(11154, 11155), List(2469, 3006), List(884, 7342), List(1066, 6824), List(2967, 7420), List(1346, 9093), List(7447, 10954), List(7385, 10076), List(845, 11551), List(5024, 7775), List(1910, 4705), List(9320, 9502), List(6075, 9921), List(3243, 5783), List(316, 11207), List(2527, 6367), List(2470, 9997), List(7723, 10071), List(34, 1695), List(438, 6474), List(5794, 7427), List(195, 6716), List(1876, 9258), List(3118, 3802), List(351, 7229), List(7599, 10944), List(687, 10561), List(1150, 5367), List(968, 10022), List(2026, 8421), List(1140, 3898), List(2611, 2658), List(484, 8697), List(7903, 9076), List(822, 8692), List(6496, 8988), List(8170, 9605), List(1575, 7209), List(4756, 9249), List(1791, 5521), List(7363, 7792), List(1346, 8288), List(2220, 4880), List(7414, 7757), List(3121, 4049), List(6789, 7705), List(4387, 9567), List(4829, 10666), List(2112, 7040), List(2177, 5183), List(3302, 5558), List(5480, 8906), List(4055, 10491), List(2902, 8068), List(22, 6922), List(1178, 2446), List(4727, 9608), List(61, 434), List(298, 6039), List(6593, 11149), List(5003, 7971), List(4683, 6303), List(4008, 6888), List(4634, 9794), List(1700, 8385), List(4965, 8618), List(3752, 6144), List(1324, 9037), List(605, 2934), List(1010, 10567), List(6423, 8644), List(2510, 4403), List(1414, 2514), List(3427, 9767), List(4712, 5139), List(104, 8775), List(8598, 10940), List(1407, 11142), List(6699, 10390), List(37, 4520), List(8899, 11053), List(1401, 4157), List(1862, 5306), List(745, 2540), List(2742, 10014), List(2386, 7935), List(8153, 10674), List(3170, 8017), List(2979, 9203), List(3947, 4676), List(76, 6353), List(2481, 4008), List(3047, 6863), List(9580, 11387), List(7364, 9467), List(8246, 10084), List(2726, 7976), List(463, 6210), List(70, 5757), List(4244, 5801), List(7545, 7943), List(255, 4756), List(1664, 2638), List(731, 4685), List(2226, 3839), List(1907, 11441), List(653, 8966), List(5513, 8557), List(1411, 7827), List(10652, 10973), List(5989, 8486), List(7840, 8241), List(7499, 7948), List(2547, 11020), List(503, 2202), List(840, 8011), List(5344, 9687), List(3539, 9553), List(361, 4778), List(9175, 9365), List(842, 11467), List(3906, 8034), List(1726, 2361), List(1178, 4219), List(5161, 7701), List(5593, 7358), List(6393, 7973), List(858, 2551), List(6991, 9585), List(3603, 7444), List(5456, 10278), List(857, 3080), List(1820, 11041), List(1256, 2597), List(1192, 11472), List(571, 8910), List(3184, 5016), List(4553, 5751), List(4678, 4699), List(5887, 9683), List(4982, 7362), List(3492, 6300), List(1532, 11513), List(4737, 5279), List(5203, 6772), List(530, 2843), List(4571, 9713), List(10802, 10866), List(207, 6539), List(4231, 10022), List(1795, 2474), List(4222, 8778), List(173, 11092), List(1207, 5687), List(4531, 9533), List(8483, 11450), List(9293, 9747), List(1115, 6098), List(4594, 7603), List(1669, 7438), List(1542, 5411), List(8926, 8987), List(7329, 11054), List(4409, 11233), List(856, 919), List(7328, 11583), List(9826, 10183), List(4618, 9128), List(922, 2670), List(4024, 8389), List(5230, 7440), List(5171, 10243), List(1377, 9666), List(7760, 8207), List(167, 6709), List(8566, 10522), List(6885, 7980), List(2623, 5083), List(9798, 10794), List(3338, 11444), List(537, 9625), List(3775, 8035), List(3727, 11027), List(1089, 3722), List(6808, 8699), List(9956, 10599), List(8281, 9757), List(1492, 1860), List(4568, 8610), List(2978, 5432), List(1866, 10180), List(982, 2320), List(235, 11165), List(333, 1874), List(8832, 10799), List(2946, 4396), List(2532, 8728), List(3657, 9103), List(14, 27), List(7015, 9500), List(1153, 9907), List(9002, 9116), List(2118, 10027), List(3645, 7938), List(6250, 6435), List(5859, 6779), List(5921, 7657), List(1050, 2989), List(9461, 9815), List(5316, 8257), List(2054, 8672), List(3658, 4386), List(7544, 7935), List(1546, 7707), List(6186, 9244), List(145, 1018), List(1072, 7824), List(6366, 7899), List(2914, 4053), List(1539, 9919), List(3994, 11101), List(8471, 10954), List(6270, 10820), List(2724, 8093), List(1530, 2636), List(3918, 9012), List(1306, 2928), List(6467, 9829), List(2578, 10146), List(6000, 11117), List(1065, 10386), List(3302, 3761), List(1244, 5433), List(4764, 6939), List(2758, 8801), List(642, 669), List(1760, 4037), List(1398, 9283), List(2040, 6306), List(6675, 7499), List(2514, 5408), List(4123, 6384), List(1452, 9519), List(6684, 8716), List(1541, 8810), List(77, 1799), List(3191, 4869), List(2069, 8175), List(395, 1142), List(4094, 7494), List(5923, 6524), List(8968, 10955), List(5642, 6282), List(8439, 11365), List(8139, 11073), List(963, 2538), List(1473, 7713), List(4424, 6847), List(243, 9796), List(465, 1507), List(4141, 9942), List(2460, 8154), List(3045, 8807), List(1434, 11168), List(6061, 8336), List(4168, 8355), List(2898, 5347), List(3940, 8905), List(1230, 6450), List(1147, 11111), List(2167, 7528), List(5118, 6662), List(7123, 10991), List(425, 4710), List(3749, 9310), List(1784, 11173), List(3816, 4116), List(3462, 9253), List(7641, 9641), List(1348, 10993), List(2470, 5435), List(6288, 6406), List(8354, 8759), List(1809, 9890), List(8161, 9118), List(3491, 11122), List(1132, 3232), List(72, 7416), List(158, 9442), List(5638, 7987), List(3953, 6457), List(375, 10608), List(6559, 7808), List(2928, 8915), List(2119, 11220), List(6126, 7926), List(9149, 9380), List(9794, 10084), List(4064, 10610), List(1237, 6816), List(3726, 7582), List(4075, 7736), List(3354, 7976), List(8884, 10802), List(78, 6830), List(7304, 9066), List(7731, 8379), List(1041, 6123), List(7673, 8374), List(2351, 6251), List(2685, 5373), List(7167, 9734), List(658, 6358), List(642, 5825), List(1846, 10465), List(3778, 10374), List(4342, 5986), List(2683, 5677), List(2089, 11354), List(2624, 8480), List(3730, 3917), List(5737, 11325), List(7845, 9016), List(4161, 6355), List(2, 5091), List(8933, 10263), List(3554, 11016), List(5072, 5458), List(8396, 10058), List(9526, 10777), List(8719, 8991), List(4564, 6745), List(3942, 10374), List(4845, 10370), List(3749, 4317), List(3098, 9460), List(59, 8227), List(9828, 11492), List(1972, 9614), List(4771, 10606), List(3215, 7012), List(1345, 2319), List(8380, 11403), List(2315, 2783), List(7271, 9252), List(2056, 11190), List(132, 9644), List(5448, 7034), List(3982, 6366), List(6162, 6377), List(895, 1709), List(4948, 5930), List(2893, 11283), List(467, 8587), List(6845, 9036), List(4018, 5242), List(6217, 9467), List(7347, 7934), List(5690, 9950), List(1710, 10903), List(2949, 5930), List(4819, 7213), List(430, 3043), List(6407, 6558), List(1426, 4728), List(1732, 1802), List(837, 4333), List(10205, 10260), List(8085, 10300), List(5783, 10114), List(3904, 6833), List(2192, 2726), List(762, 8885), List(3694, 3805), List(4624, 7122), List(1945, 6232), List(6177, 6254), List(3811, 7773), List(1352, 9101), List(7391, 9330), List(8177, 10239), List(1453, 9153), List(318, 3926), List(3721, 4847), List(9440, 10578), List(1878, 1977), List(6547, 8416), List(1475, 4970), List(2645, 4364), List(9038, 10009), List(3778, 8764), List(2035, 9508), List(3095, 5324), List(5854, 7671), List(3961, 11100), List(4022, 8343), List(6350, 8252), List(3614, 10992), List(9612, 11220), List(5407, 9611), List(6786, 11034), List(9513, 10460), List(1141, 1310), List(1639, 11386), List(2860, 11469), List(3574, 10812), List(1231, 3455), List(6838, 8191), List(2104, 6238), List(1173, 2696), List(4930, 9807), List(2471, 11135), List(1822, 10689), List(1447, 5150), List(227, 1505), List(3838, 4627), List(6945, 10690), List(3846, 9406), List(1132, 9461), List(2940, 6860), List(3489, 7856), List(1782, 4093), List(3580, 7220), List(498, 2907), List(3540, 4411), List(4197, 8882), List(3388, 10433), List(4291, 6265), List(4064, 7040), List(3955, 6316), List(371, 7269), List(1203, 10051), List(57, 8799), List(6492, 9782), List(7658, 10158), List(1180, 6095), List(7183, 7421), List(1046, 3651), List(3009, 4371), List(3045, 11198), List(4726, 8822), List(2764, 10956), List(1336, 6608), List(183, 4185), List(4665, 5136), List(2702, 3662), List(1234, 6331), List(3152, 3898), List(4177, 11239), List(763, 10129), List(4596, 9880), List(2906, 10258), List(1497, 10124), List(1512, 11156), List(5925, 7806), List(2152, 5854), List(5980, 7513), List(1904, 8004), List(2404, 6075), List(2999, 3252), List(5852, 6015), List(2152, 9237), List(5882, 7355), List(2269, 3406), List(7748, 8896), List(1091, 9786), List(1220, 1306), List(2092, 7651), List(10511, 10985), List(3357, 3899), List(10206, 10349), List(1185, 2251), List(555, 8271), List(6312, 10322), List(3314, 4202), List(7928, 10934), List(1920, 5854), List(1636, 6095), List(149, 4550), List(2475, 3632), List(8879, 9466), List(2683, 4335), List(3909, 4762), List(9638, 11181), List(2808, 3283), List(8724, 11026), List(5554, 11030), List(2586, 7785), List(5, 7430), List(3766, 7867), List(11152, 11516), List(2558, 5737), List(2401, 8005), List(2621, 3807), List(2589, 4269), List(9120, 11376), List(1126, 7282), List(5358, 7304), List(10518, 11351), List(3887, 6292), List(3830, 5758), List(3983, 6754), List(9294, 10216), List(2117, 8596), List(4259, 5117), List(3352, 6133), List(1136, 7219), List(1511, 6342), List(965, 9027), List(7978, 9492), List(8352, 11396), List(8190, 11068), List(10658, 10957), List(6458, 9692), List(1105, 5250), List(668, 5249), List(126, 4700), List(1000, 1292), List(2345, 3885), List(8716, 9579), List(5329, 11046), List(1993, 2679), List(1922, 10383), List(4043, 9033), List(3802, 10102), List(7024, 10261), List(2325, 11527), List(835, 5547), List(6158, 11278), List(10671, 10788), List(6738, 7423), List(4327, 5759), List(5246, 5534), List(4075, 8167), List(610, 7122), List(1171, 2463), List(6124, 9415), List(4560, 7458), List(3324, 9696), List(6524, 9534), List(2068, 4142), List(3444, 8300), List(2813, 5050), List(7114, 7121), List(4275, 8228), List(789, 5552), List(1596, 5086), List(2962, 8556), List(1203, 4603), List(410, 6687), List(2815, 4342), List(2624, 5528), List(3126, 6678), List(7109, 9406), List(3155, 11580), List(7766, 8215), List(1469, 8694), List(7487, 8800), List(6489, 10452), List(9557, 10171), List(1314, 5373), List(263, 3227), List(3340, 10579), List(726, 1416), List(2115, 3557), List(3727, 4050), List(4850, 7762), List(6410, 7311), List(342, 11225), List(4322, 4610), List(1013, 7488), List(4469, 7289), List(3044, 6622), List(2473, 7587), List(766, 10240), List(4465, 7547), List(855, 9531), List(5583, 6751), List(41, 6574), List(3654, 4861), List(173, 6693), List(1164, 3870), List(5209, 8230), List(3994, 11345), List(797, 2356), List(5797, 8400), List(6702, 7311), List(2130, 9850), List(3596, 4102), List(6972, 8892), List(950, 9768), List(4250, 9056), List(2617, 3552), List(6204, 6280), List(4676, 4734), List(4516, 7485), List(3683, 6730), List(3841, 8070), List(1036, 8007), List(4608, 9703), List(5723, 9390), List(444, 8095), List(5919, 7050), List(2428, 4030), List(719, 4358), List(4571, 10575), List(3327, 8788), List(3053, 3301), List(4018, 5673), List(2420, 3388), List(5635, 10674), List(8209, 9858), List(6091, 11479), List(1433, 8582), List(895, 5523), List(1122, 4748), List(4046, 11104), List(2735, 8095), List(5493, 6834), List(155, 10594), List(1824, 5205), List(2106, 8301), List(4186, 10360), List(5461, 8050), List(10452, 10568), List(1303, 9640), List(7790, 10813), List(3839, 10252), List(8264, 9915), List(2975, 7932), List(5115, 10796), List(6421, 7045), List(3752, 11007), List(6484, 11531), List(8414, 9859), List(358, 11303), List(4807, 9108), List(2242, 3624), List(2028, 8768), List(8101, 8581), List(5787, 6126), List(3617, 7557), List(4176, 9241), List(4362, 6213), List(95, 2972), List(35, 2921), List(1055, 11416), List(1781, 5858), List(7780, 9694), List(4234, 6967), List(2582, 7075), List(839, 3655), List(335, 5842), List(250, 4014), List(120, 1689), List(7425, 8190), List(5534, 6030), List(9259, 10974), List(2666, 2989), List(9145, 9906), List(11160, 11570), List(5525, 11202), List(1540, 11057), List(2672, 6187), List(2644, 10555), List(2820, 6839), List(8324, 9942), List(5686, 9807), List(6574, 10269), List(801, 1269), List(4925, 9894), List(5274, 10802), List(2991, 7660), List(1232, 10123), List(10222, 10240), List(5201, 9011), List(2586, 3410), List(176, 11016), List(1169, 9774), List(7289, 8679), List(4149, 7394), List(997, 3840), List(1435, 7449), List(5474, 7076), List(2205, 2937), List(811, 7999), List(3139, 3744), List(5950, 7005), List(3264, 9108), List(3050, 8590), List(309, 9451), List(4786, 10058), List(5271, 6343), List(326, 760), List(1366, 9133), List(2595, 3472), List(1194, 3199), List(4805, 4823), List(2974, 9884), List(1076, 8805), List(822, 11140), List(5490, 8309), List(5299, 10993), List(1913, 6269), List(6331, 8925), List(3963, 9617), List(9663, 11134), List(2499, 3360), List(9658, 10790), List(866, 4272), List(2004, 9016), List(273, 6387), List(1215, 7809), List(2299, 5931), List(4258, 9915), List(3848, 5321), List(49, 4400), List(7280, 11144), List(3006, 6732), List(6743, 6775), List(929, 1938), List(4461, 6487), List(2456, 6265), List(887, 1712), List(389, 3687), List(13, 10755), List(6243, 9054), List(9815, 10750), List(7795, 8742), List(8080, 11355), List(8753, 10697), List(1184, 5089), List(5953, 8726), List(474, 6619), List(6449, 10061), List(8751, 11001), List(2304, 8503), List(5568, 5882), List(898, 1470), List(1465, 7179), List(7155, 8008), List(1401, 9638), List(11193, 11197), List(5100, 6945), List(6631, 8762), List(8737, 9790), List(10364, 11315), List(6128, 7387), List(4634, 4671), List(2879, 10316), List(4102, 5564), List(1447, 9232), List(4468, 9105), List(2226, 8970), List(3043, 9192), List(2415, 9623), List(2136, 10208), List(9288, 9297), List(7168, 7839), List(2003, 4202), List(2498, 8345), List(6604, 9194), List(3090, 5224), List(8535, 11130), List(8788, 9324), List(2220, 8751), List(2246, 3556), List(1993, 9526), List(1112, 5347), List(2483, 2745), List(2713, 5651), List(7224, 11504), List(4726, 6488), List(7532, 9405), List(3924, 5800), List(3425, 4167), List(376, 2246), List(1031, 3638), List(1234, 3997), List(5652, 6653), List(3105, 5882), List(6859, 9312), List(5687, 9091), List(5274, 7232), List(2199, 9752), List(1853, 2699), List(6426, 9430), List(1081, 9767), List(410, 7118), List(7581, 9647), List(8690, 11017), List(1159, 8145), List(1441, 7077), List(4237, 9306), List(6857, 8835), List(4431, 6139), List(1067, 8556), List(7564, 11171), List(389, 5460), List(1275, 2843), List(4671, 9009), List(4304, 7495), List(5730, 11016), List(8285, 10150), List(1556, 8720), List(2365, 4163), List(8935, 11198), List(5110, 9056), List(1368, 9423), List(2648, 6703), List(7524, 10991), List(5046, 11515), List(6655, 8327), List(3570, 5995), List(4571, 8778), List(834, 5702), List(1333, 7335), List(3322, 3614), List(1481, 3069), List(8382, 9709), List(2317, 3341), List(4377, 8131), List(6087, 9159), List(323, 10101), List(2537, 8942), List(944, 2837), List(2038, 7309), List(3411, 5534), List(608, 7052), List(10159, 11178), List(8450, 11506), List(4718, 5391), List(224, 10095), List(6201, 9446), List(3030, 5842), List(6977, 9667), List(5182, 10221), List(11374, 11446), List(3838, 4066), List(3678, 6817), List(4667, 7331), List(6601, 7286), List(5570, 6546), List(2399, 2942), List(5317, 6100), List(1831, 3424), List(5936, 7835), List(5000, 10365), List(10111, 11487), List(3012, 4862), List(1487, 2833), List(368, 5656), List(6027, 11336), List(6778, 9026), List(6357, 6552), List(2659, 6437), List(6764, 10848), List(1607, 10482), List(3130, 5268), List(2321, 9825), List(1724, 5405), List(576, 9742), List(9566, 9859), List(5992, 11500), List(2933, 8137), List(7263, 8694), List(539, 4198), List(4126, 6926), List(5736, 10756), List(8687, 9890), List(7726, 9889), List(5355, 11064), List(5814, 9134), List(5232, 5746), List(2527, 3635), List(1615, 4307), List(4662, 9565), List(6511, 9971), List(5041, 5397), List(4002, 4796), List(3913, 11140), List(3844, 6839), List(4059, 4549), List(9322, 9475), List(4803, 5232), List(3065, 6320), List(852, 11087), List(4281, 6059), List(8904, 9901), List(8009, 8268), List(1851, 3621), List(7979, 10311), List(1620, 3496), List(6036, 9489), List(1024, 6094), List(2627, 9477), List(5325, 10417), List(4482, 6722), List(122, 7454), List(3865, 11449), List(4137, 9693), List(938, 10457), List(1590, 8168), List(563, 4918), List(1127, 6946), List(318, 10749), List(3038, 7506), List(3630, 5166), List(933, 7080), List(3763, 10391), List(458, 3589), List(1705, 9811), List(3102, 8430), List(4043, 6244), List(1698, 2224), List(992, 7660), List(7934, 10137), List(8613, 9671), List(1352, 4970), List(9323, 11524), List(5992, 6507), List(572, 7259), List(4307, 10639), List(411, 3369), List(2780, 6285), List(3812, 9879), List(1716, 8815), List(4116, 11044), List(4427, 8462), List(4957, 5244), List(3025, 3083), List(7324, 10743), List(7871, 10912), List(10087, 10580), List(4049, 6035), List(928, 8964), List(5816, 9849), List(3178, 9714), List(1268, 11284), List(1638, 4401), List(299, 5006), List(7592, 8464), List(1799, 5258), List(1833, 10504), List(556, 6325), List(1609, 8544), List(2137, 4499), List(3439, 10428), List(6111, 10147), List(669, 752), List(3072, 8914), List(2420, 4787), List(6860, 11174), List(4532, 9013), List(10139, 10339), List(2223, 7656), List(5712, 9849), List(5216, 5481), List(2031, 10115), List(3870, 9833), List(2163, 6070), List(1853, 5090), List(1277, 11346), List(1024, 4484), List(2773, 7692), List(4891, 10235), List(3945, 7913), List(3867, 6502), List(784, 4997), List(5939, 7946), List(2029, 10392), List(1766, 5094), List(1991, 7656), List(1562, 10926), List(7813, 10102), List(55, 8005), List(1460, 4233), List(300, 1393), List(5336, 6313), List(6619, 8028), List(819, 9313), List(3868, 8982), List(4991, 8530), List(1536, 11583), List(2248, 7847), List(99, 3739), List(6234, 10846), List(2810, 9048), List(494, 4268), List(564, 5007), List(696, 11542), List(5292, 6391), List(1842, 6378), List(6630, 7813), List(9931, 10709), List(251, 10145), List(1736, 8611), List(5638, 6247), List(5848, 7777), List(2579, 3638), List(965, 2318), List(9144, 10329), List(2800, 8710), List(2743, 8176), List(3163, 6318), List(3192, 5558), List(1075, 10033), List(491, 3566), List(4524, 6411), List(4224, 6119), List(2254, 10644), List(1108, 9392), List(5679, 8880), List(142, 9047), List(3031, 7303), List(954, 8925), List(4430, 5995), List(5368, 7675), List(289, 9474), List(796, 10968), List(1560, 9674), List(5307, 10405), List(6330, 10503), List(7078, 7922), List(2926, 2941), List(7812, 7917), List(5298, 9538), List(95, 2411), List(4356, 7335), List(6228, 6439), List(1249, 11071), List(5726, 10924), List(2509, 6975), List(2460, 11220), List(1056, 11430), List(3671, 10615), List(7964, 11290), List(3467, 10061), List(4463, 7582), List(224, 727), List(3840, 8357), List(1541, 7688), List(4034, 5190), List(820, 11338), List(1386, 10029), List(2217, 3541), List(4462, 8111), List(229, 10870), List(662, 6965), List(2783, 9779), List(1350, 5087), List(3686, 11273), List(1100, 10574), List(7507, 9509), List(7629, 11192), List(690, 5980), List(1120, 5564), List(3642, 4558), List(963, 7832), List(8194, 9658), List(813, 10517), List(7723, 8575), List(9089, 11291), List(1709, 2926), List(3274, 9235), List(2806, 7669), List(5127, 6407), List(4750, 9867), List(1546, 11041), List(3134, 6222), List(6905, 11511), List(2447, 5292), List(6440, 9462), List(1643, 7941), List(1571, 5621), List(6956, 8066), List(5526, 7055), List(6210, 9939), List(6709, 11572), List(577, 1730), List(1542, 4102), List(583, 11344), List(5462, 8733), List(950, 9825), List(1005, 9532), List(1375, 1895), List(5172, 9159), List(3090, 6273), List(4301, 5668), List(3389, 6340), List(10993, 11380), List(1652, 10282), List(6162, 6865), List(1282, 5087), List(1925, 5718), List(7623, 9818), List(6446, 9253), List(3607, 4698), List(2764, 3255), List(2519, 6834), List(2918, 7105), List(7630, 10208), List(4223, 10299), List(3036, 4882), List(8400, 9860), List(14, 4784), List(5273, 8056), List(1075, 1202), List(4428, 9950), List(1881, 2763), List(1137, 5463), List(2852, 9087), List(5648, 11316), List(2246, 6833), List(5050, 6671), List(6796, 9608), List(5053, 6188), List(373, 5252), List(1744, 9066), List(2152, 4919), List(814, 9132), List(4761, 5787), List(5727, 9515), List(1238, 1731), List(3737, 9601), List(0, 3142), List(2020, 5150), List(337, 5945), List(261, 473), List(7929, 10224), List(5121, 10644), List(6236, 10331), List(7516, 7611), List(7086, 8781), List(184, 9086), List(1331, 10940), List(5558, 10618), List(7490, 9773), List(1671, 6844), List(6578, 10445), List(3596, 5582), List(10430, 11000), List(2589, 9400), List(3709, 7179), List(6854, 9562), List(5238, 11579), List(3521, 3718), List(1621, 10140), List(504, 10380), List(4619, 9063), List(5221, 6687), List(7564, 8382), List(1091, 4663), List(5504, 9227), List(466, 11027), List(4728, 6754), List(1393, 4247), List(308, 6654), List(3381, 6717), List(736, 3159), List(3382, 3909), List(121, 10211), List(2783, 2826), List(537, 5201), List(5963, 7647), List(8105, 10584), List(1042, 10032), List(139, 2122), List(2004, 2307), List(261, 3051), List(5482, 10003), List(1442, 10905), List(3617, 5654), List(5891, 8710), List(654, 2753), List(4867, 9141), List(5610, 6970), List(1995, 7856), List(4295, 5717), List(1616, 4827), List(788, 9334), List(28, 3230), List(410, 3524), List(714, 6187), List(9843, 9846), List(5077, 9136), List(68, 10176), List(9402, 10103), List(1623, 9381), List(4414, 7102), List(334, 10103), List(2109, 11526), List(2699, 6107), List(8203, 9964), List(2298, 5763), List(7993, 9188), List(5647, 11359), List(7374, 10082), List(2378, 7220), List(3253, 6666), List(1766, 5875), List(1009, 9868), List(1408, 7133), List(2383, 10947), List(1977, 10259), List(3157, 10341), List(39, 9781), List(7795, 8799), List(1224, 10961), List(7850, 8506), List(2497, 4818), List(1709, 8000), List(1755, 8345), List(6519, 7474), List(4306, 5825), List(104, 7897), List(4056, 9060), List(2717, 10419), List(1783, 3196), List(1067, 7190), List(1564, 7996), List(3174, 7662), List(1555, 3746), List(2365, 2797), List(4390, 5149), List(1623, 8576), List(7008, 11021), List(1857, 4084), List(1179, 5152), List(4076, 9685), List(7591, 10847), List(2801, 6333), List(7904, 9092), List(578, 9658), List(361, 11121), List(6715, 7012), List(7935, 10657), List(4533, 11092), List(7158, 10965), List(10546, 10854), List(1759, 11096), List(1361, 10269), List(2378, 6415), List(299, 7210), List(4652, 5307), List(8571, 11248), List(4190, 11103), List(3725, 9054), List(4778, 7109), List(754, 1374), List(4556, 8982), List(1287, 8253), List(941, 1200), List(1961, 4033), List(3275, 11477), List(2898, 11527), List(9195, 10294), List(4176, 5728), List(3620, 7725), List(2221, 9033), List(2405, 4424), List(9182, 9308), List(99, 6748), List(6788, 8779), List(5606, 7870), List(9363, 10817), List(2401, 11071), List(710, 1425), List(2131, 2350), List(122, 8048), List(893, 3761), List(1323, 9761), List(4186, 6042), List(736, 10193), List(11449, 11543), List(420, 10896), List(3565, 6863), List(731, 9068), List(5435, 5894), List(11118, 11214), List(1362, 5902), List(5400, 9091), List(3459, 9096), List(3185, 4363), List(4864, 6078), List(9292, 9422), List(6293, 6864), List(6697, 10889), List(4209, 7315), List(508, 6929), List(8849, 8852), List(900, 3777), List(65, 6359), List(4382, 8963), List(10493, 11512), List(2921, 8639), List(5178, 10560), List(8124, 9350), List(3955, 9650), List(8929, 10309), List(3077, 9152), List(2368, 4491), List(7185, 10828), List(3303, 8152), List(6448, 10535), List(3164, 5364), List(1362, 11163), List(744, 10030), List(925, 1740), List(9859, 10593), List(5437, 10447), List(3164, 8747), List(3410, 5770), List(1140, 9249), List(3072, 9158), List(5185, 7193), List(1195, 6704), List(7609, 9816), List(6210, 10370), List(8199, 10813), List(9658, 10310), List(1977, 10877), List(5430, 11161), List(4714, 10991), List(1319, 8433), List(1324, 8777), List(127, 420), List(2526, 10338), List(1812, 5333), List(7574, 7728), List(2773, 10969), List(4588, 9539), List(5111, 11566), List(2685, 8870), List(4392, 5463), List(2801, 9984), List(1524, 5051), List(4846, 6572), List(3133, 9410), List(3081, 9220), List(3640, 10904), List(4941, 6809), List(3999, 4606), List(555, 5539), List(1042, 5657), List(9634, 10609), List(7428, 10131), List(6802, 10608), List(7079, 9196), List(5768, 9597), List(419, 3399), List(8469, 10808), List(7657, 8678), List(4424, 10612), List(7070, 11362), List(8732, 9690), List(3771, 8512), List(122, 1900), List(1164, 6936), List(5887, 10228), List(4736, 5222), List(9476, 10373), List(2936, 5432), List(4106, 8990), List(7600, 11527), List(6165, 10172), List(3894, 4381), List(2020, 8614), List(2873, 10745), List(9580, 9972), List(996, 8291), List(1462, 9784), List(2211, 5176), List(7186, 9443), List(461, 2470), List(6715, 6825), List(5056, 6516), List(4852, 5932), List(955, 8640), List(296, 3342), List(4910, 10074), List(4895, 9042), List(6088, 7077), List(8357, 9789), List(1810, 10093), List(9253, 10866), List(5557, 10824), List(163, 7135), List(3896, 9688), List(2924, 3139), List(5009, 6296), List(5019, 6984), List(7531, 9454), List(4549, 8755), List(1522, 4149), List(2862, 5644), List(1618, 3857), List(7758, 11308), List(716, 5217), List(4260, 7871), List(2270, 11367), List(6998, 9341), List(5974, 9018), List(2235, 6650), List(7737, 9680), List(2456, 7558), List(2597, 6285), List(2256, 10156), List(6868, 10399), List(6116, 8320), List(9256, 10359), List(3368, 9545), List(1014, 8415), List(4608, 7426), List(7326, 8244), List(5366, 7041), List(6448, 9998), List(4705, 10742), List(6195, 10306), List(63, 2716), List(9023, 10538), List(5814, 10614), List(9179, 10297), List(2431, 4653), List(7059, 8839), List(4612, 5266), List(4176, 8119), List(1179, 6388), List(7565, 10862), List(5574, 7340), List(1761, 8241), List(1854, 5022), List(6336, 9383), List(4252, 9834), List(637, 11474), List(114, 3031), List(707, 3545), List(2477, 7630), List(7422, 7551), List(2876, 11311), List(7306, 9820), List(4472, 11271), List(10540, 10740), List(1758, 11326), List(6178, 8393), List(944, 9123), List(3466, 11527), List(2315, 9931), List(3153, 6866), List(128, 9503), List(3211, 4592), List(5733, 6996), List(5327, 6308), List(4619, 10917), List(4834, 6375), List(187, 3667), List(2275, 3335), List(1316, 4915), List(3420, 11532), List(3630, 6646), List(10706, 11567), List(247, 685), List(30, 7066), List(524, 3437), List(1022, 7097), List(714, 2780), List(4919, 5143), List(4002, 5471), List(951, 8385), List(1331, 8606), List(23, 2862), List(1361, 10700), List(8491, 10222), List(3658, 4126), List(4007, 9198), List(5404, 7817), List(3074, 11245), List(956, 6450), List(4381, 11102), List(5305, 11221), List(3130, 5138), List(14, 1995), List(1436, 8026), List(1472, 7683), List(4705, 5749), List(8688, 9231), List(3593, 10497), List(2846, 9516), List(4632, 4712), List(3869, 8860), List(5266, 7479), List(371, 5423), List(8772, 11561), List(4293, 10127), List(6292, 11258), List(2118, 2546), List(4578, 11242), List(443, 10372), List(5106, 7197), List(2520, 6498), List(2430, 9988), List(3289, 5548), List(1927, 9367), List(280, 5655), List(8919, 11207), List(3566, 7519), List(1577, 4824), List(4866, 9615), List(2701, 11390), List(3339, 5261), List(5677, 5858), List(4180, 5877), List(3865, 10969), List(513, 11491), List(4434, 6925), List(2340, 6688), List(8009, 8138), List(9344, 10043), List(1937, 5517), List(6880, 11027), List(1283, 4727), List(283, 4798), List(1434, 4142), List(7421, 11351), List(5363, 10771), List(11020, 11460), List(8124, 9781), List(3574, 10389), List(1554, 1965), List(6786, 7578), List(9649, 11029), List(4066, 4435), List(11362, 11574), List(1266, 8880), List(5730, 8471), List(3380, 4107), List(978, 5969), List(427, 1894), List(1041, 3285), List(3410, 6201), List(1202, 4142), List(5677, 8086), List(3321, 10293), List(365, 10815), List(8603, 11105), List(921, 2402), List(971, 1765), List(2595, 3773), List(568, 594), List(6894, 11433), List(2730, 9825), List(69, 3125), List(225, 3638), List(8729, 10655), List(2196, 2721), List(5577, 7855), List(198, 9362), List(8914, 9654), List(7794, 10377), List(7632, 11547), List(10252, 11076), List(6300, 7661), List(5183, 7147), List(4019, 10981), List(4022, 4082), List(1396, 3984), List(7280, 8062), List(988, 2469), List(1459, 8470), List(2390, 5596), List(1529, 9963), List(2238, 8208), List(3205, 4991), List(8456, 10654), List(8678, 9535), List(963, 4856), List(2487, 8912), List(9073, 10064), List(678, 4872), List(419, 6863), List(4376, 11376), List(3034, 6048), List(5714, 9792), List(1698, 11088), List(7601, 8046), List(4798, 9564), List(969, 3516), List(194, 11067), List(9411, 9655), List(810, 9121), List(2059, 4836), List(3702, 11058), List(4571, 7306), List(4424, 8010), List(8785, 10132), List(4894, 9622), List(3798, 7733), List(3017, 7922), List(5596, 7450), List(5816, 8914), List(2272, 2850), List(6724, 11506), List(1493, 6495), List(433, 7269), List(8239, 11312), List(586, 7511), List(7019, 7667), List(5938, 7564), List(3598, 10304), List(246, 10826), List(1762, 10857), List(3161, 10303), List(3100, 10027), List(786, 7572), List(4471, 7425), List(8382, 8587), List(5090, 9160), List(1291, 1823), List(3058, 3385), List(1132, 7428), List(2355, 8338), List(3969, 9658), List(2384, 6824), List(3771, 4755), List(9008, 10712), List(4273, 10069), List(1589, 8835), List(4868, 7246), List(2934, 11428), List(4173, 6455), List(2471, 3036), List(10908, 11083), List(3522, 5182), List(2457, 4858), List(1650, 6078), List(3437, 9016), List(409, 1556), List(6823, 8078), List(8836, 8915), List(6857, 6908), List(6650, 9089), List(2887, 7825), List(1434, 11526), List(1584, 8841), List(2301, 6947), List(959, 8789), List(5909, 11306), List(2420, 2697), List(1356, 5227), List(2261, 8302), List(6901, 9839), List(2976, 9745), List(2606, 4550), List(5687, 9392), List(3073, 6645), List(5621, 11024), List(1256, 11412), List(115, 11258), List(3907, 4592), List(7451, 10656), List(4032, 9202), List(5703, 6892), List(3184, 7415), List(4878, 10162), List(3208, 5557), List(6024, 9162), List(4405, 8252), List(9097, 9979), List(6915, 9141), List(5578, 11327), List(1436, 7034), List(2310, 3626), List(2442, 10161), List(2458, 4278), List(2777, 5721), List(6, 2990), List(3330, 7590), List(2612, 11511), List(1200, 1280), List(10055, 11530), List(559, 7111), List(2644, 3098), List(6345, 7648), List(646, 9739), List(6933, 7818), List(5720, 7596), List(1088, 3668), List(9226, 10924), List(5284, 8197), List(3190, 10212), List(2853, 5157), List(392, 11320), List(53, 5438), List(1331, 6809), List(1195, 6948), List(5772, 8136), List(1169, 5700), List(1883, 4289), List(3149, 3391), List(5142, 11123), List(151, 8605), List(1408, 8345), List(252, 2241), List(3046, 10059), List(6853, 10841), List(525, 10509), List(2574, 4587), List(4483, 9208), List(407, 3283), List(1145, 6430), List(5076, 9722), List(5320, 5918), List(2302, 9726), List(5323, 9599), List(1457, 7456), List(3795, 8053), List(4653, 9804), List(728, 4048), List(1786, 3201), List(2699, 3131), List(6869, 8691), List(1816, 5295), List(6368, 11149), List(7942, 8152), List(3341, 6543), List(4578, 4907), List(3960, 6026), List(4077, 6611), List(4615, 9670), List(2494, 5358), List(7571, 9148), List(821, 1179), List(5361, 11180), List(2005, 7796), List(4543, 11487), List(3734, 8874), List(4073, 6842), List(6760, 7593), List(3577, 8890), List(7102, 10740), List(127, 6625), List(7527, 9980), List(4941, 9281), List(3829, 9865), List(4882, 7920), List(1582, 8632), List(4445, 5667), List(656, 5434), List(3395, 6375), List(1241, 6087), List(8708, 11418), List(9427, 10351), List(2638, 4706), List(1576, 1647), List(2327, 9917), List(457, 5224), List(3846, 10219), List(1977, 6128), List(4587, 4969), List(3160, 9891), List(2348, 7761), List(5586, 6171), List(7676, 9672), List(1389, 2171), List(2682, 10266), List(6629, 7675), List(780, 6035), List(630, 9474), List(2684, 10312), List(1960, 3865), List(4482, 7023), List(3215, 3532), List(2150, 3962), List(690, 10656), List(5198, 6412), List(1345, 8638), List(703, 4475), List(5025, 7423), List(3395, 5570), List(5317, 11207), List(9797, 10577), List(5747, 10037), List(2416, 5020), List(5571, 8091), List(9148, 10131), List(2478, 5898), List(3468, 10020), List(6156, 7963), List(270, 7976), List(4241, 9943), List(634, 2776), List(4155, 7136), List(812, 11184), List(5803, 7286), List(2220, 11093), List(1590, 10697), List(8031, 9216), List(1025, 9198), List(2952, 3845), List(2833, 6597), List(4352, 6145), List(5195, 7588), List(9897, 10757), List(8030, 8991), List(2584, 9276), List(2701, 3445), List(1768, 3240), List(3237, 4179), List(9794, 10255), List(3846, 5226), List(356, 9224), List(5430, 7835), List(6799, 10822), List(3170, 5586), List(2718, 4553), List(8770, 9905), List(1912, 5621), List(2598, 9332), List(4618, 11340), List(2813, 11206), List(3837, 4359), List(2930, 5375), List(5524, 10099), List(3581, 10031), List(2774, 8245), List(9281, 10794), List(5143, 10407), List(163, 5769), List(5910, 6378), List(5734, 10848), List(8447, 10568), List(873, 1206), List(6345, 9689), List(6845, 10012), List(965, 6807), List(545, 7941), List(1085, 5411), List(1890, 10534), List(4293, 5110), List(675, 817), List(793, 11426), List(584, 11252), List(3225, 9406), List(6960, 7868), List(5859, 8641), List(3130, 5382), List(3348, 6773), List(3346, 10864), List(2532, 7907), List(1009, 6705), List(1840, 6633), List(7791, 11179), List(976, 4313), List(8317, 10471), List(1247, 2332), List(4947, 9663), List(2684, 7897), List(4948, 6101), List(5132, 8662), List(5825, 6374), List(6308, 9002), List(1196, 1993), List(4559, 5767), List(7031, 8808), List(168, 4934), List(3942, 9740), List(3009, 9535), List(3121, 4114), List(3315, 7363), List(7831, 10554), List(7382, 9038), List(1692, 5957), List(16, 4513), List(410, 7850), List(10279, 11319), List(5764, 8730), List(7016, 10378), List(5294, 5583), List(2341, 9786), List(4643, 10726), List(591, 9359), List(756, 1290), List(4641, 7647), List(5038, 11255), List(3147, 5685), List(4210, 4428), List(9869, 10108), List(5579, 11579), List(1744, 8749), List(7747, 10075), List(4977, 6815), List(692, 7132), List(1246, 8472), List(2586, 10721), List(344, 9832), List(6839, 10866), List(239, 5874), List(1025, 6783), List(4920, 9664), List(7277, 8059), List(1332, 6711), List(3999, 6086), List(81, 7917), List(2116, 10957), List(45, 1844), List(5316, 6631), List(1770, 3904), List(2112, 7805), List(5393, 8571), List(4534, 6595), List(2199, 9679), List(5150, 8813), List(1347, 11156), List(8317, 8511), List(5118, 10029), List(7179, 7874), List(5698, 6174), List(2468, 7625), List(1791, 11547), List(1289, 3981), List(189, 5356), List(9708, 10698), List(6609, 8660), List(3985, 5225), List(3582, 4054), List(9554, 10231), List(8129, 9564), List(2086, 5429), List(5141, 11302), List(4071, 4218), List(1431, 6666), List(6472, 8547), List(6902, 8131), List(4823, 8926), List(8491, 11084), List(1643, 8242), List(1362, 1584), List(2408, 9802), List(4779, 6375), List(4844, 6770), List(419, 691), List(4493, 5789), List(97, 4612), List(2777, 4192), List(6796, 7331), List(910, 3180), List(2348, 5964), List(1658, 7769), List(5711, 9738), List(4267, 6385), List(1368, 8195), List(3116, 5543), List(406, 2334), List(4077, 10425), List(5789, 8116), List(5260, 8526), List(10017, 10648), List(5595, 10502), List(4315, 6806), List(3009, 3387), List(7991, 8825), List(3601, 10846), List(3699, 7971), List(5872, 6057), List(1575, 4859), List(2452, 9296), List(3035, 11374), List(58, 11019), List(3790, 10718), List(521, 6579), List(6185, 7685), List(2689, 4321), List(8017, 10396), List(10314, 10992), List(890, 1723), List(2156, 11405), List(3498, 10317), List(8540, 9390), List(8698, 9976), List(6272, 7280), List(1695, 10229), List(9838, 11413), List(7534, 9646), List(6128, 6777), List(5570, 8701), List(1392, 8915), List(7899, 11464), List(6202, 8389), List(1894, 10065), List(2386, 9773), List(3351, 6483), List(1124, 7380), List(8328, 10823), List(5563, 7880), List(1478, 10537), List(2450, 7664), List(4121, 5354), List(1416, 3243), List(361, 7771), List(1913, 4049), List(6574, 10627), List(6078, 6259), List(6824, 10021), List(6662, 9693), List(4648, 10883), List(8375, 10238), List(1345, 1498), List(73, 8243), List(63, 3391), List(1814, 10836), List(1815, 7274), List(817, 8926), List(1128, 6344), List(6032, 6264), List(3831, 5376), List(1281, 7340), List(1050, 10625), List(1894, 9260), List(4196, 10200), List(1398, 11308), List(2740, 3804), List(2661, 10893), List(4789, 10714), List(4784, 10370), List(7552, 9797), List(1518, 3496), List(6089, 9400), List(2173, 4888), List(3883, 8168), List(180, 1293), List(137, 4629), List(1909, 2371), List(5711, 6973), List(8911, 9063), List(2727, 5447), List(2567, 8198), List(2947, 7665), List(5857, 6798), List(2438, 5344), List(2247, 2366), List(1660, 2798), List(1482, 10605), List(4395, 7003), List(4, 8422), List(3219, 9292), List(8472, 9366), List(7083, 10608), List(8131, 9073), List(3427, 3579), List(3991, 5607), List(7726, 11239), List(319, 4461), List(8749, 11337), List(6261, 11173), List(6440, 9226), List(282, 10995), List(2773, 8424), List(2916, 7978), List(785, 8583), List(675, 10697), List(1893, 11263), List(9618, 10968), List(6784, 10167), List(1395, 6822), List(5656, 9494), List(3492, 6983), List(4847, 10264), List(8228, 8982), List(3615, 5104), List(6364, 7487), List(7415, 9633), List(1007, 6309), List(5539, 10787), List(9341, 11225), List(8930, 9439), List(3806, 5803), List(284, 3470), List(683, 735), List(2708, 3087), List(1499, 10154), List(1148, 2757), List(2278, 7640), List(1177, 7659), List(5189, 9627), List(6906, 7662), List(3081, 5520), List(4812, 7425), List(4409, 5500), List(7342, 10444), List(9665, 10009), List(5317, 5840), List(7428, 9464), List(1607, 9872), List(862, 9718), List(10273, 11555), List(7584, 9977), List(4819, 7815), List(1509, 7085), List(9351, 11539), List(5591, 9792), List(150, 10421), List(618, 6325), List(802, 8886), List(8577, 11364), List(4747, 8878), List(1786, 2640), List(1168, 3759), List(696, 11119), List(913, 2486), List(5680, 6050), List(4173, 9545), List(6141, 11363), List(6136, 11019), List(2474, 9807), List(2555, 5073), List(77, 5597), List(1190, 10873), List(1157, 2065), List(417, 2255), List(6315, 9449), List(1459, 6567), List(7401, 7617), List(3118, 3843), List(3677, 5527), List(246, 3312), List(6655, 9490), List(4609, 6261), List(5104, 10404), List(2609, 11321), List(4765, 6774), List(1461, 3580), List(7121, 11360), List(294, 2979), List(2191, 6085), List(983, 3955), List(7077, 11061), List(8634, 11093), List(3780, 9038), List(4029, 5578), List(2403, 7661), List(409, 458), List(4400, 7965), List(5091, 11266), List(229, 5186), List(2429, 5095), List(684, 5766), List(1587, 7260), List(2903, 4951), List(5472, 7201), List(4919, 9469), List(7073, 7505), List(1092, 4248), List(5825, 8228), List(2017, 10227), List(4166, 7919), List(365, 3919), List(900, 1045), List(5401, 5456), List(125, 4432), List(3628, 10495), List(4071, 8032), List(5812, 10625), List(731, 5181), List(2723, 11557), List(1068, 1568), List(2316, 4228), List(3149, 3448), List(1316, 8436), List(6070, 11041), List(5077, 5867), List(1613, 5424), List(4388, 9028), List(7003, 8213), List(336, 1245), List(4919, 8664), List(3292, 10522), List(5317, 6458), List(1898, 5004), List(6404, 10513), List(6099, 9877), List(4346, 5769), List(7716, 10714), List(449, 2061), List(8156, 10232), List(3540, 7591), List(9541, 11500), List(4992, 10081), List(2287, 7970), List(3994, 4563), List(2696, 5923), List(1266, 4912), List(2103, 8792), List(1759, 8982), List(1602, 10496), List(5738, 10810), List(4120, 9748), List(6790, 9394), List(262, 5968), List(1569, 11487), List(2583, 4706), List(2526, 3418), List(4613, 7402), List(1029, 1185), List(1529, 8678), List(3246, 10123), List(5235, 6402), List(5240, 6746), List(2334, 6631), List(3110, 6852), List(5823, 6572), List(3427, 5970), List(2541, 7863), List(7193, 10915), List(1923, 2566), List(403, 5045), List(1552, 9978), List(5341, 6047), List(898, 5024), List(1428, 1806), List(3293, 6155), List(5032, 7921), List(5433, 9019), List(7761, 8928), List(5128, 8383), List(646, 8186), List(2191, 6703), List(5310, 7865), List(582, 4229), List(3324, 11103), List(1257, 9279), List(3246, 8968), List(4808, 10098), List(2475, 3429), List(8946, 10485), List(6368, 10401), List(3625, 11216), List(764, 2930), List(227, 2725), List(8688, 8914), List(2812, 9615), List(7101, 10171), List(1929, 4609), List(158, 10475), List(4538, 10395), List(7256, 10459), List(2327, 2403), List(1924, 7648), List(3727, 5457), List(4654, 5093), List(9266, 10998), List(465, 11534), List(5883, 9955), List(8894, 9140), List(4226, 5555), List(2116, 11201), List(2161, 3804), List(5901, 9780), List(643, 9362), List(8640, 11475), List(3788, 5329), List(2917, 6756), List(4035, 10124), List(9126, 11368), List(5184, 8641), List(7209, 10993), List(9155, 9854), List(8576, 10901), List(2053, 2931), List(4205, 6556), List(1402, 8074), List(4431, 6310), List(1284, 7264), List(5452, 9745), List(2955, 8337), List(3325, 7116), List(8087, 9582), List(2956, 4775), List(6249, 7056), List(5753, 9858), List(1295, 10055), List(5096, 5387), List(8029, 9577), List(1109, 4415), List(7184, 11471), List(9515, 10897), List(4945, 10853), List(3446, 5541), List(9755, 10357), List(1756, 5165), List(39, 714), List(1857, 5971), List(4059, 9713), List(4652, 10227), List(225, 9737), List(3993, 9093), List(1315, 11057), List(702, 6104), List(1065, 4466), List(127, 10333), List(9622, 10363), List(5233, 6193), List(3648, 8277), List(5004, 11059), List(4665, 7429), List(1862, 8193), List(1800, 7315), List(181, 3399), List(6070, 7821), List(4010, 6414), List(10584, 10939), List(3766, 9437), List(8453, 10820), List(5368, 8488), List(3143, 10212), List(9805, 10420), List(1830, 10540), List(1078, 10713), List(3452, 10967), List(9976, 11241), List(1170, 11433), List(979, 7701), List(6469, 7688), List(599, 1818), List(3754, 4889), List(724, 766), List(2470, 3703), List(3846, 7861), List(3559, 8585), List(3942, 7569), List(3121, 8359), List(5082, 9006), List(4887, 5532), List(10067, 10955), List(217, 8290), List(6949, 6985), List(7835, 10784), List(1035, 4950), List(5906, 8140), List(118, 5278), List(2728, 4119), List(8863, 11226), List(4479, 7400), List(5098, 9135), List(337, 9523), List(8654, 11052), List(433, 9985), List(1276, 5012), List(3547, 10803), List(2552, 11218), List(5190, 5691), List(2542, 4114), List(7772, 8900), List(3343, 5331), List(2006, 7517), List(2298, 11301), List(6279, 7540), List(7363, 7914), List(4897, 11481), List(2373, 5998), List(4155, 10844), List(1349, 2265), List(6364, 9341), List(3806, 4274), List(165, 4693), List(483, 3282), List(2716, 6337), List(1778, 8040), List(157, 3297), List(5650, 6965), List(4580, 7051), List(6445, 11400), List(535, 2691), List(2838, 10649), List(4185, 9905), List(3024, 3457), List(3870, 8581), List(5417, 7925), List(4111, 5260), List(8658, 10016), List(1675, 6757), List(8213, 9373), List(2387, 3021), List(2731, 2831), List(6996, 9409), List(2734, 6512), List(9678, 9816), List(957, 8426), List(5595, 9136), List(1139, 3744), List(3324, 3345), List(4034, 5198), List(7626, 9024), List(3632, 11045), List(3317, 9721), List(6094, 7736), List(927, 2518), List(1828, 8103), List(3913, 10506), List(1298, 4905), List(577, 9309), List(5341, 8438), List(2655, 10541), List(3153, 7785), List(8285, 9784), List(1232, 9920), List(1411, 5721), List(75, 10761), List(2522, 7918), List(8411, 11586), List(4387, 5851), List(560, 2882), List(6907, 8182), List(288, 5392), List(7557, 9984), List(8620, 8727), List(7876, 11427), List(2109, 2272), List(1023, 8241), List(4046, 8941), List(9894, 10356), List(9405, 10165), List(1561, 9048), List(85, 1276), List(5778, 7284), List(433, 8375), List(6842, 8137), List(211, 3078), List(7862, 10216), List(88, 10592), List(300, 2369), List(9109, 10022), List(3226, 9552), List(1132, 5151), List(1419, 8591), List(7458, 9574), List(4929, 9409), List(6372, 8373), List(701, 6096), List(2559, 2858), List(1696, 10562), List(4218, 7304), List(9311, 9375), List(3099, 10127), List(2399, 8992), List(4363, 6904), List(7289, 7671), List(3827, 10307), List(7634, 11089), List(5542, 7515), List(1053, 6147), List(9616, 10361), List(2147, 4203), List(1248, 9998), List(4567, 7084), List(2175, 9634), List(5059, 7546), List(8553, 10083), List(10253, 10423), List(3795, 7736), List(274, 6759), List(3908, 5169), List(3280, 5600), List(2812, 9696), List(757, 9387), List(5154, 11166), List(1257, 3294), List(4829, 4990), List(5515, 7947), List(3552, 7227), List(881, 10362), List(4119, 6520), List(5736, 7357), List(2126, 2925), List(5584, 9969), List(2401, 11266), List(787, 7694), List(2217, 8705), List(6330, 11479), List(2271, 8941), List(963, 9613), List(5820, 8933), List(526, 2442), List(1866, 11107), List(1783, 9352), List(5174, 8004), List(3667, 7335), List(587, 3849), List(5473, 8825), List(839, 10486), List(2546, 7833), List(8714, 10916), List(985, 10311), List(3602, 10323), List(583, 9742), List(10471, 11009), List(8795, 8811), List(1534, 1858), List(3743, 6017), List(2660, 11503), List(4989, 7850), List(1596, 6119), List(4519, 5457), List(3285, 8522), List(7423, 8909), List(5794, 6557), List(6920, 10540), List(36, 11451), List(7228, 8441), List(719, 9229), List(5581, 8893), List(6720, 6722), List(1661, 3481), List(1088, 10035), List(5329, 7891), List(4200, 10026), List(8150, 11116), List(8626, 11045), List(7320, 7626), List(4163, 10898), List(806, 3906), List(5441, 11515), List(8928, 10629), List(7842, 10182), List(1335, 7633), List(6651, 11439), List(887, 5965), List(4978, 7260), List(5004, 6229), List(704, 7012), List(20, 9763), List(3900, 5950), List(290, 11344), List(5498, 5983), List(9999, 11148), List(1504, 4594), List(4298, 10160), List(6858, 8884), List(1753, 5298), List(1603, 8737), List(2659, 11227), List(1250, 11093), List(2960, 7957), List(1969, 3610), List(2841, 3539), List(848, 6360), List(5860, 7503), List(6661, 10972), List(587, 5272), List(9270, 10342), List(7131, 11086), List(10082, 10220), List(1985, 4493), List(5653, 8903), List(4562, 7358), List(2850, 3251), List(8147, 10013), List(743, 9168), List(2362, 10078), List(798, 2459), List(2661, 10145), List(4877, 5649), List(1301, 10627), List(2514, 6685), List(1050, 6844), List(1552, 7994), List(2414, 3071), List(5471, 9771), List(5810, 6985), List(3877, 7605), List(1630, 6372), List(7488, 10727), List(1007, 2983), List(146, 11514), List(43, 1213), List(3618, 8842), List(605, 8830), List(903, 6043), List(220, 2603), List(2623, 3595), List(5104, 10916), List(3025, 5295), List(876, 1187), List(3928, 6789), List(587, 1084), List(159, 7962), List(2949, 9622), List(2274, 10207), List(3576, 9720), List(771, 9657), List(9706, 10067), List(2488, 7692), List(155, 1023), List(5626, 6652), List(4411, 9767), List(2169, 9632), List(1722, 1773), List(3275, 5069), List(704, 8785), List(596, 1146), List(2376, 9329), List(2371, 8985), List(631, 9246), List(8157, 9522), List(9774, 10359), List(1253, 9000), List(2689, 10957), List(5848, 10794), List(8960, 10785), List(5155, 9295), List(2046, 3159), List(4311, 8381), List(8649, 9553), List(5999, 11313), List(2818, 2857), List(3573, 7863), List(10228, 11064), List(9786, 10719), List(2879, 9926), List(1103, 11284), List(1791, 8652), List(1964, 10300), List(2404, 10572), List(420, 8221), List(1567, 10829), List(1999, 6322), List(9555, 10190), List(7416, 10934), List(2999, 11132), List(525, 5012), List(2269, 4870), List(2981, 3386), List(162, 10033), List(7686, 9482), List(4040, 9557), List(4948, 11395), List(2424, 5158), List(7548, 9548), List(3482, 4311), List(10240, 10643), List(2174, 11399), List(3227, 9454), List(25, 7291), List(3664, 10209), List(3129, 6667), List(706, 9904), List(990, 3247), List(3188, 3864), List(352, 2990), List(8620, 9508), List(1041, 9628), List(84, 701), List(8666, 9883), List(54, 9160), List(8533, 10293), List(2848, 3392), List(4436, 9907), List(1881, 4357), List(4682, 6930), List(5583, 7597), List(2539, 6020), List(15, 6199), List(7289, 11135), List(997, 6296), List(4362, 10897), List(871, 7877), List(6509, 7762), List(8317, 11577), List(2211, 2956), List(282, 7482), List(1500, 8048), List(4082, 11257), List(7592, 7911), List(2327, 4070), List(2275, 3880), List(1021, 1405), List(3825, 9911), List(7534, 7906), List(7465, 10021), List(3798, 8465), List(1200, 7005), List(3388, 3871), List(3727, 4091), List(3917, 9850), List(1675, 8961), List(4039, 8527), List(525, 10973), List(6053, 6556), List(4072, 10138), List(3594, 7130), List(4432, 8229), List(1357, 7339), List(3754, 5133), List(2260, 6581), List(111, 2473), List(329, 10280), List(1193, 6184), List(8512, 8611), List(4840, 8963), List(3555, 11339), List(255, 7887), List(1375, 4912), List(1849, 4768), List(9464, 9997), List(6317, 6787), List(1867, 4593), List(716, 2997), List(4205, 5190), List(2921, 10420), List(6376, 7367), List(1219, 7755), List(9832, 11332), List(2834, 4759), List(3849, 7248), List(4480, 10498), List(1681, 3090), List(8998, 11106), List(5937, 7670), List(4347, 4492), List(23, 5635), List(5072, 11541), List(5000, 9975), List(8269, 9950), List(2018, 9276), List(1861, 11544), List(6453, 8903), List(7106, 10222), List(1381, 11092), List(442, 3525), List(6398, 8415), List(10035, 11260), List(3432, 5216), List(1011, 2864), List(8352, 9022), List(5632, 5879), List(2357, 7587), List(1484, 8187), List(2980, 10195), List(6619, 9703), List(549, 739), List(2830, 7218), List(2272, 8388), List(5405, 7004), List(5690, 9617), List(3314, 6284), List(1294, 4276), List(8138, 10382), List(46, 11415), List(166, 10019), List(6494, 11105), List(4781, 7527), List(5237, 7578), List(36, 1278), List(2097, 5539), List(2501, 3902), List(479, 5231), List(4612, 5274), List(3560, 10073), List(2841, 3970), List(845, 7274), List(2154, 3040), List(1412, 8819), List(4247, 10222), List(3896, 9241), List(250, 2900), List(6046, 10541), List(7885, 9505), List(7880, 9161), List(4950, 8652), List(621, 10949), List(6624, 10023), List(6875, 7390), List(5412, 6239), List(5134, 8180), List(2145, 6310), List(923, 1838), List(2442, 5550), List(1987, 8353), List(8482, 9387), List(7448, 9130), List(6778, 10059), List(3154, 5197), List(6142, 9094), List(8485, 10035), List(2623, 10442), List(7363, 9931), List(10747, 11576), List(2394, 8892), List(4836, 9812), List(2744, 5484), List(2095, 5038), List(1560, 8666), List(4147, 5803), List(4398, 9586), List(8247, 9870), List(5919, 7709), List(1220, 4811), List(2433, 5033), List(4100, 5233), List(1958, 5679), List(4284, 4761), List(6214, 10259), List(6152, 6375), List(1205, 4129), List(4131, 11312), List(1423, 5520), List(7367, 8895), List(3098, 9745), List(2945, 6497), List(7389, 11128), List(3101, 7010), List(1687, 2368), List(9785, 10949), List(3653, 7523), List(4280, 7621), List(6138, 10799), List(8349, 10123), List(1320, 10653), List(847, 2327), List(2741, 11578), List(6566, 7304), List(664, 2620), List(4241, 5414), List(9122, 9292), List(7498, 8038), List(5579, 6082), List(2270, 2544), List(6466, 7073), List(213, 1408), List(992, 5310), List(1306, 6409), List(3417, 8535), List(2316, 8554), List(1447, 5890), List(798, 7696), List(1670, 7625), List(1171, 3740), List(3156, 8945), List(4164, 8735), List(300, 1003), List(6354, 8710), List(8260, 8896), List(5705, 10516), List(1037, 4679), List(2279, 5639), List(6606, 8931), List(562, 10987), List(1840, 5942), List(5169, 10132), List(7479, 9435), List(5222, 7514), List(5299, 9424), List(3520, 4095), List(1770, 10084), List(4237, 7119), List(1186, 10787), List(10272, 10612), List(2108, 10079), List(1490, 11198), List(4907, 5409), List(149, 9478), List(92, 8944), List(2609, 11004), List(5628, 8552), List(1287, 7082), List(2751, 6923), List(2417, 7801), List(6175, 8721), List(2915, 5799), List(377, 7800), List(2374, 8104), List(822, 2000), List(1966, 6589), List(185, 4597), List(7748, 9636), List(7316, 9979), List(4181, 6032), List(5332, 7628), List(7792, 9908), List(6885, 10924), List(1773, 3915), List(5544, 9204), List(9064, 10710), List(5203, 8911), List(3978, 10584), List(1337, 3762), List(8661, 9539), List(3957, 10461), List(380, 1251), List(2558, 11015), List(3828, 7607), List(8408, 9093), List(2026, 6990), List(364, 7164), List(6530, 9420), List(3911, 6329), List(9024, 10530), List(120, 3771), List(5218, 6186), List(1073, 4628), List(8170, 8174), List(4032, 7787), List(3440, 3711), List(4563, 7423), List(2636, 6360), List(1227, 2062), List(9112, 9596), List(4315, 8075), List(6932, 10339), List(4086, 8023), List(1849, 8232), List(6556, 10991), List(9562, 9832), List(1850, 4670), List(733, 8320), List(7827, 8939), List(4300, 5508), List(1073, 4978), List(1945, 11323), List(5543, 7824), List(3583, 6621), List(7328, 10689), List(5050, 7891), List(36, 10085), List(1156, 10116), List(1751, 11457), List(10455, 10988), List(6847, 7383), List(3943, 8095), List(6716, 7866), List(4971, 8537), List(3727, 6750), List(6916, 8651), List(5846, 7983), List(705, 8904), List(5285, 9636), List(1018, 7149), List(2647, 9501), List(892, 8730), List(892, 2314), List(396, 4362), List(2364, 6180), List(1419, 4460), List(6310, 9780), List(4309, 5570), List(4216, 9543), List(329, 6523), List(10509, 11574), List(2035, 3645), List(1343, 2371), List(1282, 4347), List(793, 1904), List(3089, 8691), List(11203, 11389), List(2276, 2926), List(2052, 7382), List(4507, 9318), List(5037, 6100), List(1960, 7793), List(5609, 7989), List(6461, 6542), List(4470, 9436), List(1827, 8203), List(2212, 8768), List(7308, 10356), List(3352, 9451), List(1695, 5805), List(1041, 4261), List(798, 1093), List(9005, 10398), List(9981, 10650), List(2686, 10529), List(3214, 6484), List(4313, 5638), List(5, 6560), List(5837, 9694), List(161, 7073), List(8282, 10942), List(8843, 9289), List(2921, 5858), List(61, 6842), List(2671, 5683), List(3639, 5320), List(5569, 10818), List(1801, 9210), List(8594, 11564), List(280, 8054), List(8373, 9875), List(1298, 7808), List(1704, 2080), List(7607, 10372), List(213, 10215), List(9705, 10728), List(6775, 10219), List(2848, 10052), List(21, 596), List(1726, 7696), List(2694, 9585), List(808, 3635), List(5391, 11054), List(7034, 10860), List(3716, 10212), List(944, 6879), List(839, 8583), List(2833, 9370), List(1816, 6808), List(10054, 11262), List(379, 11042), List(1036, 9097), List(1731, 3502), List(6562, 8017), List(1272, 8815), List(5343, 7980), List(2049, 5474), List(4664, 11075), List(3850, 8118), List(242, 4513), List(5063, 9094), List(6066, 7786), List(5725, 7493), List(3531, 3642), List(1695, 4195), List(3284, 6394), List(4311, 10398), List(4127, 7837), List(4058, 5788), List(252, 1444), List(102, 4883), List(8293, 9491), List(5645, 7914), List(1163, 7717), List(8847, 10831), List(9566, 10518), List(2190, 5305), List(6574, 9131), List(41, 443), List(2907, 3411), List(3065, 11167), List(5453, 11127), List(3932, 4336), List(3427, 9304), List(6171, 10589), List(2458, 9442), List(4103, 5157), List(2676, 10833), List(1114, 3287), List(2309, 9319), List(4697, 9279), List(1304, 7548), List(4669, 7231), List(7866, 9804), List(3795, 4223), List(3255, 6753), List(3105, 3776), List(5319, 9033), List(1556, 7769), List(3006, 3016), List(7467, 9506), List(1196, 2538), List(3226, 5234), List(3141, 9068), List(1861, 5372), List(3033, 5593), List(7544, 10692), List(1854, 4201), List(5434, 9922), List(291, 10016), List(6361, 10312), List(4535, 11553), List(1973, 8996), List(1063, 6331), List(610, 5797), List(7549, 8003), List(5682, 6991), List(1066, 3596), List(1651, 6501), List(7165, 11046), List(50, 10304), List(446, 3888), List(7636, 10631), List(3909, 4860), List(5664, 11323), List(8348, 9147), List(4024, 9536), List(7883, 10508), List(4922, 10686), List(2289, 10141), List(6827, 11401), List(590, 4017), List(5328, 8341), List(6283, 10779), List(5075, 8649), List(6076, 6514), List(1866, 4561), List(2335, 9735), List(1616, 3632), List(5282, 11379), List(5497, 6837), List(2011, 4161), List(5402, 9983), List(3294, 5876), List(4479, 10466), List(823, 1902), List(5952, 10800), List(7077, 11175), List(7731, 9713), List(3283, 4182), List(3723, 8618), List(3475, 4352), List(3550, 5465), List(2810, 4901), List(6829, 8040), List(5760, 10980), List(70, 4489), List(8041, 11043), List(1835, 5224), List(8679, 10576), List(1365, 2077), List(1223, 9541), List(7992, 9646), List(1464, 6220), List(3580, 7936), List(431, 8817), List(486, 8524), List(861, 1231), List(6215, 8527), List(5344, 11452), List(1149, 10531), List(8952, 9395), List(115, 10274), List(3000, 11040), List(9357, 10612), List(1198, 4007), List(138, 4027), List(2223, 11348), List(12, 5608), List(3224, 9213), List(2653, 3762), List(7458, 10062), List(9944, 10557), List(5018, 9188), List(1886, 11174), List(4933, 10770), List(5014, 5282), List(4186, 9035), List(3615, 5836), List(4174, 7520), List(4583, 6227), List(1381, 3310), List(1969, 3480), List(3576, 3629), List(900, 6420), List(6413, 11494), List(3608, 11431), List(2228, 4121), List(9915, 10916), List(1417, 4845), List(1384, 2453), List(6782, 9267), List(459, 2863), List(1362, 4357), List(668, 6420), List(3262, 11144), List(5241, 6735), List(2074, 10420), List(2938, 5570), List(701, 5779), List(3860, 5616), List(7010, 8343), List(793, 8751), List(1725, 2315), List(1037, 2695), List(4768, 10837), List(11528, 11580), List(1843, 4256), List(4458, 9857), List(8878, 9176), List(3731, 9528), List(586, 729), List(3848, 4451), List(3136, 11570), List(9889, 11142), List(3354, 6545), List(8758, 10952), List(1444, 2453), List(2820, 4359), List(3439, 6094), List(9008, 10346), List(5432, 8908), List(7476, 9058), List(6144, 11588), List(578, 6853), List(1259, 10220), List(8442, 8622), List(7793, 10428), List(3958, 7598), List(2037, 9733), List(282, 8962), List(4361, 5736), List(5510, 10669), List(2309, 4944), List(2770, 9503), List(8341, 8920), List(3802, 7435), List(2088, 3255), List(3100, 5473), List(8213, 9674), List(4295, 10751), List(584, 6267), List(1145, 1608), List(642, 9655), List(6025, 9021), List(5746, 9606), List(6317, 6389), List(3572, 4879), List(1726, 4744), List(203, 9958), List(2195, 9918), List(5555, 7005), List(3344, 8435), List(8882, 11122), List(694, 10195), List(9560, 11185), List(723, 7900), List(1561, 8999), List(5697, 6307), List(7789, 10635), List(8465, 8740), List(934, 5868), List(9466, 11523), List(9648, 10251), List(126, 11027), List(8276, 9218), List(7068, 7088), List(7906, 8187), List(3019, 5992), List(987, 6633), List(2420, 11325), List(2769, 5063), List(7939, 9798), List(1606, 1952), List(465, 1044), List(6999, 8422), List(8561, 8798), List(3539, 4715), List(2021, 3857), List(1727, 3410), List(2270, 10977), List(4975, 6672), List(4557, 10885), List(484, 10893), List(86, 7814), List(2324, 11213), List(760, 10010), List(1670, 6259), List(2513, 7702), List(8884, 11144), List(9312, 9901), List(9408, 9609), List(819, 4174), List(3430, 10033), List(5699, 8581), List(7003, 11173), List(382, 4550), List(8687, 10980), List(2021, 9118), List(252, 8641), List(663, 10427), List(2898, 3729), List(4665, 7543), List(2733, 5382), List(1981, 3303), List(7369, 9429), List(6130, 7986), List(1486, 8959), List(9772, 11175), List(4944, 9587), List(6506, 10717), List(899, 3729), List(1764, 8903), List(5724, 10681), List(2973, 7471), List(1734, 3776), List(1722, 2261), List(2415, 7143), List(4244, 5419), List(54, 4842), List(3942, 10716), List(4623, 7667), List(5373, 5913), List(3781, 6826), List(1446, 9910), List(195, 536), List(9881, 11468), List(4231, 7062), List(4143, 7215), List(2061, 2077), List(3745, 10552), List(6696, 9686), List(6577, 8274), List(1904, 4345), List(10651, 11120), List(1558, 3708), List(756, 2266), List(1370, 10073), List(663, 6239), List(2528, 4172), List(1864, 4946), List(281, 3693), List(67, 11089), List(1182, 10776), List(5134, 6277), List(2613, 5973), List(4667, 6811), List(1422, 7230), List(1021, 6886), List(470, 9227), List(1236, 4596), List(5074, 11107), List(2545, 4526), List(3351, 6841), List(3015, 6892), List(4978, 8366), List(7839, 10990), List(895, 5434), List(5996, 7366), List(3009, 6323), List(2606, 11568), List(2350, 7441), List(180, 2456), List(4595, 5595), List(2385, 9879), List(4372, 9495), List(1530, 4669), List(1230, 10793), List(3749, 10270), List(5922, 8356), List(695, 7251), List(2787, 11579), List(4363, 5245), List(5016, 6564), List(3596, 6241), List(819, 8980), List(2089, 3320), List(9690, 11095), List(566, 2118), List(4268, 5358), List(5792, 9414), List(3930, 8746), List(7715, 11489), List(3267, 3706), List(467, 4741), List(4102, 4507), List(3971, 7996), List(8561, 9416), List(4875, 10092), List(6088, 6150), List(3034, 3885), List(8357, 8862), List(4067, 4671), List(2635, 2833), List(2465, 4896), List(7239, 8877), List(1573, 6944), List(2774, 5651), List(2876, 9311), List(3704, 8941), List(2809, 5056), List(534, 8191), List(5412, 9142), List(1145, 3649), List(5298, 5822), List(9393, 9545), List(1065, 8581), List(9525, 11162), List(6968, 9703), List(588, 8427), List(1078, 1646), List(4412, 11098), List(2423, 8403), List(5969, 11130), List(8918, 9437), List(4123, 4579), List(7283, 7994), List(3140, 7263), List(6997, 11572), List(8112, 11259), List(1758, 4788), List(603, 6456), List(7638, 11376), List(5181, 6361), List(6237, 8851), List(1664, 2874), List(2223, 4558), List(7510, 9878), List(5061, 5478), List(5773, 7404), List(4989, 6541), List(11331, 11497), List(6725, 8790), List(479, 10712), List(283, 6636), List(1535, 6786), List(9086, 10310), List(5385, 10678), List(9968, 10927), List(687, 8382), List(4269, 10766), List(1339, 6093), List(126, 10035), List(2829, 4903), List(4661, 9866), List(3888, 6910), List(6211, 6475), List(9824, 11178), List(3969, 6340), List(80, 6657), List(7707, 9237), List(2669, 6873), List(931, 1545), List(1516, 4450), List(1922, 2886), List(4974, 5078), List(1072, 7442), List(5089, 9754), List(1761, 7664), List(1267, 11293), List(2096, 10394), List(2127, 3291), List(6646, 6753), List(4834, 5448), List(9259, 9275), List(4426, 10349), List(2619, 9388), List(2163, 2167), List(3118, 3851), List(5487, 6767), List(814, 9254), List(8821, 9049), List(4363, 9246), List(6078, 10618), List(1128, 3937), List(534, 9614), List(5489, 10223), List(2552, 10795), List(5689, 6901), List(3741, 6459), List(2096, 10744), List(152, 7068), List(1394, 2366), List(7844, 8545), List(5734, 10027), List(7346, 9766), List(2019, 11463), List(6747, 9437), List(3168, 9980), List(6664, 7682), List(7937, 7955), List(1870, 4924), List(3668, 8805), List(168, 1535), List(1790, 2716), List(6174, 6542), List(2627, 5842), List(5983, 6193), List(5590, 9874), List(4347, 10941), List(8017, 9762), List(4245, 4248), List(9313, 10958), List(1813, 9651), List(8187, 11112), List(11306, 11520), List(6478, 10686), List(9000, 9680), List(62, 3337), List(9746, 11190), List(5222, 10767), List(1144, 10431), List(11128, 11406), List(9763, 11544), List(2454, 7553), List(5778, 11399), List(1823, 4303), List(3596, 11315), List(3723, 4674), List(3812, 9627), List(7955, 11112), List(9846, 10266), List(2248, 6172), List(947, 3851), List(6514, 11440), List(3214, 5736), List(4982, 5988), List(4419, 5316), List(5413, 6174), List(2465, 11475), List(1304, 5027), List(743, 2516), List(3215, 5557), List(3205, 4869), List(7532, 8161), List(2269, 7399), List(3767, 6070), List(6467, 11220), List(1558, 5294), List(799, 6208), List(3761, 9638), List(4783, 6128), List(8513, 11416), List(4165, 7247), List(4091, 11270), List(3783, 6953), List(546, 4981), List(4035, 5676), List(824, 11341), List(4437, 8874), List(3095, 6552), List(4991, 6050), List(8635, 10066), List(1321, 5731), List(2351, 2836), List(2812, 7395), List(6014, 6148), List(7325, 9911), List(2504, 3078), List(7488, 10841), List(69, 8964), List(5702, 8505), List(8555, 10487), List(8883, 9764), List(10609, 11325), List(8401, 10020), List(490, 7681), List(8218, 11067), List(4610, 6708), List(2517, 3663), List(772, 3580), List(8332, 9102), List(4135, 11518), List(6869, 7951), List(4076, 10157), List(2161, 4967), List(6333, 11354), List(3141, 9125), List(4616, 6903), List(2281, 9987), List(1315, 3226), List(9630, 10344), List(6199, 11539), List(6636, 8130), List(2066, 5080), List(127, 8918), List(3213, 6934), List(5800, 11241), List(5645, 7166), List(5676, 6479), List(5982, 10723), List(2114, 11163), List(4053, 11462), List(4860, 6832), List(3978, 8844), List(1110, 5803), List(5005, 6432), List(4198, 4646), List(7269, 11052), List(7253, 10519), List(7171, 8265), List(2881, 9736), List(1479, 4357), List(5472, 8527), List(618, 2308), List(1443, 8083), List(4591, 7731), List(1943, 6154), List(10470, 10711), List(5484, 8537), List(1936, 4983), List(7944, 10817), List(4809, 9122), List(5220, 10908), List(7608, 10868), List(4905, 9584), List(2873, 6061), List(4929, 7726), List(693, 6804), List(3272, 9742), List(7718, 8784), List(4058, 4235), List(4418, 7961), List(6885, 11412), List(5385, 5498), List(2305, 9926), List(3864, 4369), List(2710, 11143), List(1308, 5764), List(3326, 6945), List(2082, 5158), List(1832, 10645), List(4609, 8660), List(435, 6364), List(7747, 9872), List(2303, 10230), List(8619, 9801), List(4003, 6406), List(2664, 7765), List(3887, 8675), List(862, 11312), List(5745, 6191), List(1672, 10363), List(2114, 10708), List(92, 8627), List(5185, 10698), List(4565, 10990), List(1322, 5820), List(737, 2915), List(2786, 5661), List(8109, 11392), List(6020, 11499), List(6739, 10432), List(4088, 5174), List(5283, 10452), List(3942, 8732), List(1033, 2684), List(7395, 9016), List(10340, 10587), List(2332, 8315), List(310, 9644), List(1707, 5230), List(11178, 11282), List(5507, 9005), List(615, 10630), List(5682, 7316), List(7645, 8790), List(1636, 9901), List(428, 7771), List(10450, 11482), List(7673, 7805), List(5367, 9375), List(6557, 10145), List(2440, 8383), List(2577, 11098), List(602, 8109), List(2381, 4770), List(2283, 4235), List(1999, 4476), List(6176, 10453), List(1474, 1622), List(7738, 11583), List(730, 10738), List(4273, 7532), List(880, 883), List(659, 5610), List(344, 10702), List(62, 1190), List(5859, 6023), List(150, 256), List(3764, 5561), List(6757, 10556), List(5625, 9010), List(2710, 9533), List(7691, 11363), List(1089, 5544), List(3257, 3286), List(490, 10877), List(5779, 6444), List(6212, 9709), List(3375, 5227), List(1542, 3045), List(1325, 4508), List(7329, 8688), List(7823, 9977), List(3967, 8522), List(6859, 10459), List(9133, 9351), List(478, 9712), List(4332, 10340), List(3807, 7486), List(4390, 7312), List(3408, 7188), List(60, 3722), List(5419, 11362), List(7695, 11081), List(2110, 7824), List(933, 7259), List(10951, 11201), List(7768, 8334), List(8019, 9865), List(5436, 8683), List(959, 2414), List(2545, 7348), List(4307, 10818), List(1053, 8465), List(1074, 6336), List(2791, 4371), List(3099, 4524), List(4339, 9575), List(8919, 11061), List(3253, 8374), List(6081, 6354), List(6607, 7898), List(6586, 7775), List(7484, 8925), List(939, 9302), List(4645, 7780), List(189, 2388), List(8067, 8751), List(3406, 6337), List(1025, 2660), List(8696, 8922), List(565, 5119), List(4771, 9582), List(4585, 6948), List(3213, 9325), List(1618, 6557), List(7533, 11446), List(4823, 8991), List(3730, 5121), List(3337, 11054), List(7840, 9876), List(1453, 7429), List(5415, 10034), List(3760, 6461), List(5344, 11322), List(184, 8029), List(55, 9339), List(4757, 7590), List(5934, 8155), List(9012, 9316), List(3470, 9139), List(7368, 7787), List(3526, 10202), List(482, 7871), List(1684, 3770), List(6950, 8213), List(7259, 9722), List(4141, 11414), List(2100, 9283), List(6795, 10527), List(816, 7343), List(2712, 7595), List(9, 2147), List(5792, 8048), List(1310, 7851), List(4851, 10234), List(2762, 10341), List(6380, 8972), List(5504, 11553), List(7650, 8947), List(3104, 10455), List(1636, 9714), List(7670, 9599), List(2735, 8868), List(3033, 6081), List(925, 1220), List(10159, 10365), List(2751, 5614), List(3530, 9516), List(4058, 5471), List(6257, 9696), List(6210, 9850), List(1002, 8795), List(326, 6526), List(5580, 7202), List(4981, 8371), List(36, 6198), List(5514, 8834), List(3282, 9387), List(2281, 4352), List(4180, 10537), List(5888, 10738), List(4644, 8951), List(2648, 5085), List(2925, 7837), List(189, 10577), List(877, 10197), List(2231, 9900), List(183, 5844), List(589, 7286), List(3543, 10101), List(1120, 11086), List(4790, 4989), List(4480, 10425), List(4169, 6591), List(4783, 7982), List(6469, 6704), List(5624, 8598), List(1112, 9690), List(6251, 8696), List(1953, 11060), List(2571, 2771), List(4501, 8269), List(10669, 11352), List(989, 11542), List(609, 4905), List(6216, 9641), List(3088, 4983), List(5655, 11267), List(1603, 9900), List(11116, 11290), List(9199, 10915), List(8186, 10781), List(4309, 8449), List(5429, 8480), List(1683, 11357), List(4107, 10974), List(591, 9587), List(875, 2930), List(2771, 3182), List(56, 383), List(4233, 6360), List(3046, 5107), List(6882, 11545), List(7247, 9980), List(1345, 5296), List(2637, 3367), List(3044, 7663), List(4038, 9275), List(4886, 11062), List(6493, 10457), List(1608, 9089), List(2507, 10841), List(2161, 3788), List(1197, 10686), List(7453, 10206), List(8974, 10581), List(7422, 8641), List(2850, 11180), List(6924, 9862), List(10728, 11127), List(4553, 4621), List(1246, 4162), List(1853, 2854), List(354, 6210), List(2589, 5928), List(4526, 6181), List(1628, 3675), List(8813, 10074), List(1155, 1765), List(5979, 11525), List(6096, 6448), List(342, 8078), List(4521, 9220), List(467, 7026), List(1747, 9224), List(1869, 10153), List(10200, 10634), List(3462, 6432), List(2777, 5575), List(8033, 10084), List(125, 846), List(6594, 7075), List(7337, 11320), List(4505, 7182), List(3610, 9713), List(3782, 10759), List(1263, 11282), List(2424, 4898), List(3004, 7459), List(731, 8011), List(10448, 11086), List(4314, 6833), List(3820, 10462), List(1071, 1663), List(7058, 8872), List(4692, 10391), List(10153, 11168), List(1066, 4702), List(3063, 11422), List(9601, 9874), List(2438, 11370), List(198, 5646), List(2901, 6930), List(5829, 10776), List(8602, 11301), List(104, 5230), List(8686, 9494), List(1237, 8906), List(9614, 10486), List(10739, 10861), List(7599, 8822), List(5840, 11315), List(7593, 9007), List(10741, 10907), List(5040, 9919), List(1238, 3065), List(274, 9963), List(5522, 8939), List(3009, 6998), List(2537, 7942), List(5896, 7810), List(3504, 10360), List(9132, 10311), List(5369, 9047), List(7103, 10469), List(1232, 11514), List(2096, 7418), List(5019, 10920), List(1942, 6951), List(1624, 1946), List(3391, 5760), List(4667, 9714), List(7497, 10773), List(2860, 8753), List(4663, 6562), List(2181, 10350), List(1677, 8373), List(4168, 5802), List(3853, 10894), List(7466, 8427), List(9673, 10261), List(303, 4261), List(2039, 6510), List(4222, 6038), List(7800, 10932), List(393, 6406), List(737, 10380), List(7438, 9762), List(3603, 6932), List(4618, 9421), List(1159, 8568), List(5240, 8421), List(3714, 7702), List(8065, 9136), List(4114, 4411), List(4057, 8041), List(3250, 6255), List(4303, 5064), List(7079, 11522), List(1446, 8975), List(6384, 9977), List(565, 5550), List(1874, 7732), List(1750, 5976), List(6113, 8925), List(2238, 8948), List(1801, 5941), List(1246, 11546), List(4016, 8390), List(4133, 8975), List(8503, 8931), List(6725, 10620), List(4918, 9659), List(8614, 9701), List(4094, 6014), List(9212, 10559), List(2041, 8784), List(2732, 9833), List(1524, 3539), List(2453, 4756), List(2415, 8436), List(7180, 8167), List(8883, 10276), List(4597, 7739), List(9750, 9861), List(4970, 6035), List(2348, 9843), List(667, 8055), List(4619, 11470), List(4586, 6826), List(4116, 4433), List(5676, 8146), List(3377, 7477), List(1224, 5879), List(1964, 3437), List(441, 2235), List(3240, 10397), List(3061, 8180), List(7698, 10200), List(6354, 11215), List(2457, 6753), List(339, 8374), List(10338, 11135), List(314, 10761), List(2544, 9381), List(186, 10761), List(3825, 10269), List(4699, 11025), List(5850, 6205), List(5720, 10296), List(6473, 8813), List(921, 1532), List(3355, 8253), List(7143, 11267), List(4629, 5718), List(3743, 7611), List(1917, 8852), List(164, 8908), List(330, 10109), List(5053, 6985), List(7888, 8388), List(2007, 8745), List(851, 2641), List(2315, 6646), List(882, 1954), List(8973, 9364), List(820, 10875), List(1102, 9807), List(6978, 9106), List(5820, 6339), List(5212, 8146), List(5143, 10261), List(6664, 11390), List(6206, 9758), List(2930, 8612), List(2059, 11537), List(2357, 8750), List(4385, 10619), List(774, 1081), List(379, 10351), List(5133, 8792), List(4321, 6662), List(5757, 9373), List(7835, 8353), List(5541, 7274), List(4039, 11113), List(4510, 6534), List(7032, 9692), List(893, 5095), List(7398, 10981), List(10854, 11536), List(10656, 10797), List(231, 2909), List(5081, 8228), List(2161, 8407), List(1158, 9715), List(1193, 5737), List(6630, 7618), List(4300, 11046), List(2492, 7231), List(4770, 7777), List(3488, 9670), List(1786, 6251), List(5420, 11077), List(4107, 11405), List(7844, 11448), List(4514, 9285), List(2647, 8273), List(8846, 10669), List(8782, 8964), List(5535, 6304), List(4146, 7546), List(2644, 7221), List(4232, 7320), List(3723, 4999), List(2736, 7941), List(2853, 9280), List(707, 8099), List(898, 1251), List(5034, 11391), List(2448, 11446), List(6684, 8204), List(5808, 10785), List(4622, 5970), List(1862, 4152), List(5062, 6242), List(328, 8453), List(3376, 10903), List(2096, 9459), List(9155, 10269), List(6484, 7742), List(2351, 7699), List(691, 3782), List(3027, 9968), List(1121, 2612), List(4988, 8363), List(3584, 8573), List(3522, 7695), List(5669, 10976), List(8563, 9576), List(225, 7924), List(2400, 6837), List(10091, 11122), List(2552, 9860), List(1645, 10876), List(2517, 11559), List(2680, 6073), List(7126, 11531), List(1364, 2720), List(2572, 4850), List(2614, 8459), List(4293, 9420), List(3391, 11534), List(4480, 9246), List(774, 9270), List(6684, 7399), List(4065, 10724), List(7425, 10817), List(2814, 7766), List(8915, 9627), List(8519, 9627), List(4087, 8793), List(8049, 10644), List(796, 9968), List(163, 5891), List(3382, 4251), List(7766, 8077), List(2372, 3634), List(1632, 10240), List(1533, 3064), List(5948, 6203), List(1383, 10667), List(325, 934), List(2842, 10164), List(5615, 10689), List(2623, 4384), List(6014, 10206), List(3428, 9507), List(1783, 7376), List(3089, 3625), List(3392, 7598), List(31, 3870), List(9862, 11019), List(2202, 6047), List(1682, 3537), List(1234, 9039), List(9525, 10845), List(1024, 5257), List(4611, 10991), List(2020, 3532), List(117, 2109), List(9707, 10327), List(1679, 3239), List(2766, 11458), List(4977, 5864), List(2735, 5729), List(7282, 10485), List(2227, 4010), List(520, 1001), List(1022, 1397), List(3472, 9405), List(2701, 9528), List(2823, 4795), List(261, 8654), List(3504, 7408), List(5673, 6506), List(263, 8700), List(3007, 10739), List(11035, 11411), List(6572, 11264), List(1973, 3312), List(1121, 4035), List(5900, 9114), List(2999, 9343), List(9628, 11323), List(6132, 7959), List(5949, 9006), List(438, 3978), List(1382, 5473), List(6198, 9710), List(1621, 5489), List(3861, 5551), List(6512, 10809), List(781, 4317), List(3583, 9744), List(1183, 5263), List(2055, 8198), List(2518, 3004), List(3046, 9539), List(7122, 9048), List(4608, 9915), List(993, 11555), List(1717, 11586), List(1138, 1356), List(7350, 11127), List(1746, 10072), List(4100, 11202), List(4573, 7450), List(48, 9835), List(733, 3522), List(839, 4672), List(2425, 10360), List(3000, 6161), List(699, 8075), List(5901, 10813), List(7243, 7473), List(1075, 4390), List(4737, 8231), List(388, 6843), List(1723, 7994), List(5388, 6471), List(3674, 7953), List(7753, 11143), List(2813, 10068), List(8009, 8854), List(3871, 8467), List(230, 2470), List(8282, 8454), List(7008, 10208), List(615, 2311), List(595, 10704), List(588, 9533), List(5440, 9263), List(4232, 7133), List(983, 10062), List(1482, 7531), List(1712, 4021), List(673, 2666), List(110, 3492), List(4072, 8349), List(5500, 6281), List(8697, 8854), List(3096, 5064), List(5060, 9392), List(1412, 5607), List(1690, 4797), List(8154, 11436), List(9933, 10349), List(9305, 10780), List(2493, 9847), List(626, 8081), List(8251, 8336), List(5195, 10906), List(2801, 11131), List(5967, 7221), List(1885, 7897), List(8488, 10908), List(3222, 9094), List(359, 6397), List(4600, 7663), List(4490, 9777), List(2256, 6497), List(2533, 5085), List(2261, 7595), List(9656, 10606), List(6830, 10420), List(7670, 10811), List(418, 3190), List(7071, 9728), List(5457, 9162), List(2460, 3267), List(5660, 9521), List(6451, 10774), List(7261, 9825), List(2048, 8426), List(1879, 6897), List(7125, 9964), List(6013, 10548), List(7628, 8306), List(3325, 9572), List(2203, 8714), List(8682, 9969), List(6435, 8736), List(2758, 6492), List(1679, 3052), List(5813, 5949), List(2019, 3120), List(1539, 6455), List(577, 1348), List(6870, 11293), List(55, 8591), List(4286, 5759), List(10891, 11095), List(6377, 11360), List(1515, 5280), List(2485, 7996), List(4278, 4363), List(164, 8534), List(7268, 9841), List(5437, 9984), List(7708, 9359), List(3374, 4896), List(659, 2097), List(8291, 9185), List(2152, 5342), List(6797, 7223), List(5742, 7587), List(4555, 6334), List(8502, 10159), List(5792, 6950), List(95, 3452), List(5101, 7032), List(660, 2672), List(7124, 8557), List(6907, 10020), List(8099, 9365), List(4955, 10590), List(1342, 6641), List(3427, 9044), List(2677, 3628), List(368, 1517), List(6035, 7058), List(116, 11095), List(331, 6553), List(4379, 10430), List(5659, 7710), List(2256, 4537), List(1605, 10434), List(2514, 8710), List(4472, 9840), List(6466, 10627), List(324, 2349), List(1545, 8848), List(950, 5255), List(3040, 8002), List(3128, 4439), List(1144, 2088), List(1295, 2257), List(142, 6250), List(9323, 9345), List(6274, 7424), List(3251, 6724), List(761, 5733), List(231, 2535), List(3242, 8890), List(630, 2806), List(599, 1241), List(7973, 9791), List(10660, 11296), List(5796, 10051), List(8134, 10648), List(2995, 5226), List(2100, 4347), List(3239, 7838), List(3490, 5205), List(2595, 8490), List(7975, 9837), List(353, 1185), List(6046, 7947), List(1252, 5943), List(87, 2005), List(336, 2709), List(127, 8951), List(10822, 11250), List(1049, 8243), List(2174, 8618), List(374, 8828), List(2170, 11128), List(7681, 9740), List(8116, 9668), List(1767, 3541), List(4074, 8989), List(3141, 11036), List(6178, 9190), List(4411, 5376), List(488, 2699), List(4942, 11428), List(4500, 4667), List(2507, 10898), List(2471, 4825), List(4026, 11200), List(7455, 10336), List(3692, 5662), List(4858, 5314), List(10179, 10218), List(204, 9706), List(3621, 10333), List(5183, 10709), List(9868, 11265), List(2497, 6396), List(4122, 11258), List(5757, 7039), List(2185, 2337), List(4363, 7937), List(4927, 9965), List(4381, 8516), List(6607, 8118), List(5633, 7912), List(7935, 8852), List(2174, 7813), List(9455, 9756), List(460, 2879), List(4006, 9770), List(4475, 8528), List(2572, 7859), List(676, 1191), List(2823, 5226), List(4815, 5186), List(3380, 3831), List(11187, 11482), List(9377, 11004), List(475, 908), List(4337, 5561), List(1632, 9866), List(4715, 11371), List(1315, 7715), List(6803, 11039), List(9616, 10239), List(3365, 5401), List(9748, 10358), List(8683, 10034), List(1030, 2069), List(3055, 4421), List(3614, 6105), List(4820, 5156), List(6268, 10880), List(558, 3013), List(4730, 8646), List(2491, 5776), List(2931, 5294), List(6807, 10407), List(9921, 11225), List(10074, 11467), List(5724, 7225), List(803, 3194), List(4963, 7312), List(1764, 8830), List(2297, 11545), List(298, 8162), List(1268, 10878), List(5336, 6362), List(1091, 8737), List(3866, 5171), List(6512, 10085), List(1624, 5036), List(344, 586), List(543, 4179), List(786, 1685), List(3334, 6064), List(7162, 7723), List(2845, 2867), List(9, 4245), List(3966, 5752), List(4494, 8123), List(2154, 10863), List(13, 10780), List(2157, 8882), List(378, 3553), List(1300, 9261), List(6563, 10023), List(873, 9948), List(8099, 9178), List(3636, 9031), List(659, 8676), List(5258, 10212), List(1583, 4631), List(7596, 10809), List(8305, 9054), List(1746, 6315), List(6572, 11240), List(2517, 6192), List(3795, 6809), List(6935, 8848), List(2515, 3113), List(4261, 6050), List(183, 5714), List(456, 4560), List(8668, 10799), List(868, 9200), List(1553, 3641), List(4373, 9674), List(4529, 10187), List(3787, 9550), List(702, 7218), List(2918, 6886), List(4506, 8483), List(9969, 10087), List(2630, 9637), List(1100, 5012), List(6769, 7216), List(1373, 6864), List(7415, 11528), List(1744, 8497), List(5632, 8709), List(3149, 4725), List(437, 5607), List(6168, 8689), List(2799, 5100), List(3669, 4202), List(6325, 9804), List(6005, 10388), List(5320, 10285), List(6745, 8700), List(4296, 4300), List(9791, 10323), List(4259, 10834), List(2567, 8133), List(299, 6023), List(1913, 3179), List(3434, 7718), List(1976, 4659), List(7547, 9738), List(5458, 5681), List(1442, 4725), List(4248, 6888), List(2725, 5686), List(4614, 11183), List(9163, 11104), List(565, 7835), List(9064, 10344), List(1843, 2036), List(4210, 9787), List(5800, 6549), List(5736, 9008), List(1088, 6075), List(3266, 5259), List(4673, 8730), List(9802, 10458), List(6414, 11323), List(160, 552), List(3272, 6205), List(1515, 5361), List(5606, 10066), List(2454, 6512), List(5824, 11457), List(8773, 9764), List(5438, 11421), List(8085, 8609), List(6552, 10102), List(5841, 8778), List(6458, 8188), List(4889, 5887), List(7755, 8855), List(977, 10916), List(6624, 8665), List(3805, 11148), List(2501, 2894), List(3122, 5456), List(1403, 6594), List(3213, 4820), List(4611, 7047), List(6223, 10950), List(4069, 6498), List(2388, 3956), List(9622, 10217), List(1214, 1410), List(7148, 10513), List(6282, 11530), List(3886, 4512), List(9391, 11223), List(2443, 10429), List(1796, 6646), List(506, 8678), List(361, 5291), List(304, 4757), List(493, 7662), List(354, 4120), List(8636, 8846), List(362, 2483), List(1033, 10824), List(360, 5820), List(6703, 9466), List(5612, 7921), List(2348, 8290), List(4014, 5636), List(8670, 11059), List(1095, 2253), List(5261, 10323), List(1493, 8715), List(2269, 2520), List(4137, 7140), List(7714, 9180), List(685, 9710), List(4699, 6089), List(3198, 8618), List(4724, 7085), List(6630, 8025), List(2169, 2289), List(2989, 8444), List(4293, 10282), List(21, 7451), List(3257, 9198), List(2512, 9044), List(4348, 8491), List(772, 2889), List(2353, 7479), List(3843, 6289), List(3510, 10775), List(10760, 11153), List(1600, 1765), List(5027, 7244), List(825, 9316), List(1906, 3757), List(3686, 5524), List(5886, 6187), List(6908, 9847), List(8754, 9982), List(7124, 7378), List(119, 10214), List(2180, 8059), List(5418, 10633), List(2388, 8762), List(182, 8284), List(3351, 8809), List(5353, 9457), List(1244, 7556), List(4904, 4935), List(3600, 8732), List(954, 1566), List(1358, 5591), List(1111, 11349), List(5022, 6095), List(2850, 10863), List(190, 1355), List(4735, 6038), List(514, 3896), List(2723, 8809), List(5607, 5967), List(1744, 7505), List(2623, 4441), List(283, 7181), List(9133, 11425), List(336, 4563), List(4888, 10417), List(160, 6781), List(5443, 8195), List(8273, 11506), List(1580, 9733), List(10291, 10435), List(5568, 7143), List(2453, 6854), List(7332, 10659), List(3512, 8861), List(1105, 9625), List(3264, 8759), List(4222, 4298), List(3850, 8102), List(6276, 11552), List(2575, 11166), List(975, 8054), List(7805, 9536), List(3091, 9770), List(5455, 11588), List(3750, 4488), List(4025, 6413), List(1129, 5488), List(5239, 10243), List(1820, 8789), List(2462, 5812), List(1009, 10267), List(3765, 8933), List(4860, 10597), List(2747, 6146), List(2055, 4872), List(995, 9056), List(4145, 5367), List(339, 7439), List(3140, 5848), List(1309, 4493), List(7280, 10445), List(55, 11063), List(5619, 8555), List(361, 1721), List(11157, 11242), List(1202, 2337), List(856, 1700), List(3044, 5736), List(329, 2937), List(2346, 10309), List(4598, 5470), List(2442, 10771), List(2590, 4253), List(5298, 6635), List(286, 3240), List(1256, 5956), List(4430, 6825), List(5491, 9659), List(531, 2290), List(6981, 8469), List(8712, 10374), List(2210, 8169), List(7065, 7416), List(10805, 11140), List(4242, 10911), List(9717, 9866), List(4648, 5183), List(9216, 11570), List(653, 5104), List(3238, 5578), List(7656, 8234), List(1061, 5838), List(1085, 3980), List(747, 7368), List(2077, 8929), List(1860, 10392), List(2980, 4007), List(1698, 5900), List(2577, 2836), List(4843, 8283), List(7856, 8295), List(3196, 8735), List(2035, 2287), List(2604, 4659), List(16, 10303), List(5871, 8725), List(5926, 8432), List(3810, 4464), List(4436, 7370), List(1944, 6306), List(1104, 2128), List(8041, 10677), List(2002, 3278), List(7578, 8701), List(3958, 6964), List(6287, 9727), List(6636, 10635), List(5765, 11308), List(3208, 9095), List(1773, 10746), List(1496, 5742), List(1329, 6568), List(9393, 9903), List(8211, 8994), List(1891, 7769), List(2770, 8869), List(9712, 11346), List(5660, 10733), List(3325, 7401), List(1110, 11341), List(4971, 6724), List(1418, 9242), List(4310, 7015), List(547, 5751), List(1981, 11045), List(7834, 9394), List(614, 10356), List(4026, 10639), List(537, 2030), List(421, 10715), List(1317, 8786), List(1100, 10249), List(2774, 5204), List(1416, 8765), List(2655, 3792), List(5858, 9563), List(1806, 8196), List(32, 9627), List(1999, 5558), List(5636, 7649), List(6405, 10082), List(7119, 9425), List(6398, 8911), List(6525, 8686), List(2967, 4444), List(3378, 8859), List(6456, 10020), List(5332, 6083), List(7224, 8845), List(2783, 8649), List(715, 9633), List(5293, 10292), List(9718, 9955), List(3803, 5066), List(7507, 8379), List(630, 635), List(1003, 9511), List(3116, 8300), List(2801, 2812), List(1412, 4054), List(2990, 4963), List(4330, 7212), List(876, 7457), List(2027, 6801), List(812, 9916), List(4976, 5108), List(461, 8935), List(2323, 3187), List(765, 9346), List(4629, 10662), List(4947, 10005), List(3111, 3388), List(5695, 7424), List(7273, 9087), List(984, 7175), List(2510, 8648), List(6457, 9467), List(1455, 6760), List(2720, 3008), List(2783, 7494), List(8514, 10576), List(1487, 5517), List(9448, 11383), List(3187, 5857), List(7581, 10371), List(3464, 3691), List(81, 2648), List(1891, 3126), List(3157, 9398), List(1424, 10830), List(1753, 9608), List(4367, 5939), List(9328, 9746), List(8, 3109), List(1035, 7113), List(3218, 10805), List(1568, 7576), List(5993, 7239), List(193, 6272), List(2911, 9342), List(4683, 11248), List(1569, 4014), List(2529, 6796), List(793, 4547), List(1094, 1277), List(4428, 9975), List(412, 11271), List(1382, 7571), List(6301, 8523), List(1590, 8274), List(10516, 10850), List(6882, 8276), List(5569, 7850), List(2300, 3711), List(211, 10234), List(7121, 7538), List(5602, 7209), List(1741, 5410), List(2849, 8090), List(1613, 10328), List(1924, 7746), List(931, 9742), List(861, 1833), List(5711, 7152), List(3472, 10698), List(10631, 10958), List(5841, 6444), List(4721, 6413), List(2386, 3081), List(1606, 6124), List(6587, 7954), List(2915, 9060), List(47, 9429), List(3323, 4159), List(3684, 11520), List(3940, 9231), List(3625, 3743), List(2938, 6977), List(4999, 5576), List(8036, 10146), List(7294, 9509), List(4558, 11495), List(4897, 10961), List(2751, 10534), List(163, 9762), List(3981, 8481), List(10147, 10737), List(3793, 8430), List(5854, 7029), List(1153, 7468), List(5487, 5515), List(8284, 9844), List(3053, 7839), List(3395, 10986), List(5009, 5890), List(1425, 6843), List(2333, 8681), List(5664, 7282), List(1366, 5482), List(2020, 4020), List(932, 6156), List(2203, 6356), List(5687, 8205), List(4622, 7881), List(3670, 9878), List(1803, 8866), List(9518, 11293), List(2696, 9672), List(8699, 10998), List(1980, 3840), List(2417, 3841), List(5341, 10951), List(520, 11288), List(3689, 4643), List(9752, 10184), List(10106, 11436), List(6395, 10362), List(7448, 9171), List(5956, 7282), List(7671, 10906), List(2747, 9610), List(1343, 3404), List(30, 10148), List(2159, 5653), List(7531, 7893), List(5944, 9150), List(2838, 5941), List(1315, 11155), List(2647, 2963), List(3612, 5335), List(628, 7973), List(5382, 6414), List(4984, 9751), List(1364, 11047), List(1180, 2070), List(4237, 8770), List(10799, 11026), List(584, 7674), List(1962, 5489), List(7280, 10876), List(4169, 7323), List(2331, 11213), List(824, 10544), List(579, 9959), List(457, 2614), List(3015, 7681), List(1663, 8081), List(3909, 11341), List(7302, 11574), List(4064, 6748), List(8323, 10845), List(6616, 11246), List(3280, 5885), List(1442, 9775), List(3589, 6640), List(2185, 6850), List(6390, 9213), List(597, 1089), List(7453, 8710), List(31, 2398), List(3962, 5690), List(3429, 5227), List(8385, 8690), List(4577, 9935), List(594, 11371), List(3085, 8046), List(2310, 11433), List(3586, 9725), List(4670, 7847), List(9872, 10585), List(2290, 7024), List(4297, 8016), List(3022, 11080), List(1494, 3118), List(2017, 5145), List(2824, 3925), List(2855, 5490), List(1514, 10186), List(3356, 7169), List(1107, 5109), List(4407, 9315), List(6308, 9157), List(1009, 2322), List(4400, 8144), List(3932, 5824), List(3042, 8699), List(5735, 9295), List(1475, 1563), List(8950, 10919), List(2315, 8370), List(660, 1387), List(8500, 9178), List(3004, 9346), List(4114, 4525), List(8102, 8351), List(827, 9606), List(5519, 11333), List(2472, 6075), List(6816, 10502), List(7194, 9142), List(9, 3497), List(3742, 6050), List(934, 6470), List(960, 1275), List(2713, 5383), List(3179, 4624), List(5656, 10291), List(1714, 7564), List(7500, 9599), List(3269, 6769), List(5383, 8412), List(4008, 7108), List(3982, 5887), List(44, 2178), List(5165, 10404), List(733, 8816), List(2256, 3602), List(26, 4982), List(1980, 10874), List(490, 9812), List(5474, 11159), List(7729, 11529), List(2409, 10233), List(4871, 6924), List(5060, 9075), List(8726, 10406), List(9445, 10093), List(7234, 8517), List(4550, 7283), List(5023, 9947), List(1666, 2955), List(2595, 10588), List(410, 10233), List(40, 5038), List(1413, 9679), List(1184, 3211), List(7546, 9543), List(2226, 8247), List(688, 5259), List(3145, 3858), List(4930, 10133), List(8569, 9641), List(3576, 10460), List(1652, 8160), List(217, 9811), List(5843, 5929), List(3573, 9408), List(8934, 11459), List(3979, 4434), List(4385, 5122), List(4223, 4794), List(3142, 11107), List(3574, 6600), List(62, 2703), List(5242, 7402), List(3600, 11204), List(274, 10695), List(7304, 8855), List(3839, 11220), List(4659, 10959), List(3420, 9516), List(3682, 7072), List(1204, 7596), List(2109, 5753), List(6651, 10919), List(3169, 5733), List(8952, 9005), List(824, 1713), List(9037, 10052), List(565, 3704), List(3271, 8669), List(2901, 3474), List(6333, 9297), List(447, 5146), List(6145, 9246), List(5739, 8558), List(5916, 9948), List(4527, 11190), List(45, 10993), List(3638, 7150), List(1525, 9115), List(910, 9751), List(4894, 9671), List(1807, 11430), List(3015, 7144), List(2151, 4824), List(7247, 11330), List(1904, 8330), List(488, 609), List(8299, 9914), List(8242, 9380), List(1735, 6077), List(337, 10239), List(1796, 9736), List(1109, 6554), List(8142, 9149), List(6392, 8722), List(1173, 7478), List(6899, 10216), List(1732, 9162), List(3864, 4995), List(112, 8027), List(3374, 4579), List(3160, 10477), List(412, 5286), List(5135, 8578), List(8568, 10839), List(2670, 9337), List(471, 5866), List(2494, 11555), List(6107, 9088), List(4677, 11083), List(190, 3372), List(5940, 10668), List(8094, 8704), List(1764, 7545), List(6495, 8446), List(3765, 8722), List(3830, 9117), List(3546, 9358), List(5334, 5381), List(9139, 9500), List(4882, 7701), List(2814, 8685), List(10909, 11333), List(114, 11082), List(4129, 6151), List(410, 10851), List(637, 3660), List(4778, 9980), List(788, 10245), List(1936, 8537), List(3452, 8568), List(4114, 7721), List(708, 10666), List(7070, 10582), List(721, 8619), List(1743, 5863), List(7529, 8652), List(3921, 4293), List(2302, 7547), List(2238, 5842), List(3733, 4996), List(1137, 3609), List(188, 11539), List(4417, 5628), List(794, 5872), List(8858, 9207), List(8615, 9449), List(3937, 5176), List(7987, 9880), List(726, 4425), List(406, 2757), List(6601, 10669), List(4054, 9898), List(2247, 2521), List(1443, 10832), List(4013, 6110), List(3584, 7882), List(1958, 5801), List(6342, 9627), List(717, 7695), List(7532, 8145), List(438, 8280), List(3399, 8102), List(1620, 9189), List(2552, 9169), List(1833, 3820), List(1918, 9785), List(8168, 10988), List(269, 3748), List(4717, 7744), List(3526, 9755), List(3151, 3462), List(296, 4790), List(907, 6664), List(6264, 7061), List(4896, 6928), List(1291, 9256), List(9223, 10220), List(2587, 4817), List(3645, 3970), List(6630, 8350), List(9967, 10903), List(5519, 9536), List(3, 4164), List(4170, 10207), List(1020, 1064), List(1812, 11587), List(4856, 6748), List(6597, 9341), List(752, 5191), List(100, 1064), List(1965, 6167), List(6510, 10850), List(367, 8763), List(4536, 8463), List(866, 3980), List(4912, 11194), List(9300, 10975), List(4539, 4947), List(7455, 11442), List(2161, 4951), List(4996, 6354), List(445, 10524), List(99, 3471), List(2124, 5823), List(1356, 3211), List(6581, 7653), List(7668, 9456), List(4772, 10783), List(94, 6510), List(257, 7440), List(6420, 10933), List(7913, 9260), List(1753, 10202), List(2113, 4129), List(1309, 6778), List(4607, 9403), List(5068, 10552), List(5536, 5702), List(2236, 6414), List(780, 6434), List(3333, 11157), List(11203, 11243), List(4792, 8402), List(4735, 7868), List(535, 6603), List(6469, 9290), List(6809, 10112), List(2332, 10259), List(735, 5910), List(427, 5757), List(2980, 10480), List(3659, 10768), List(3846, 6430), List(2507, 11199), List(2344, 3853), List(138, 4873), List(6982, 10979), List(951, 1189), List(903, 7564), List(435, 5998), List(1250, 5393), List(4214, 11148), List(8316, 9626), List(4039, 5697), List(6814, 9301), List(6920, 10451), List(6349, 11416), List(303, 2846), List(7620, 10862), List(1343, 4803), List(1701, 8483), List(7802, 10344), List(7752, 10981), List(121, 6747), List(3445, 4177), List(838, 3355), List(1278, 10043), List(5564, 10328), List(82, 10956), List(1761, 5501), List(6874, 9702), List(8543, 10729), List(7144, 11283), List(8300, 10971), List(1832, 7596), List(2316, 4033), List(707, 805), List(2233, 8694), List(8384, 9918), List(7241, 8183), List(3473, 6575), List(7764, 7958), List(1296, 10999), List(1409, 2016), List(5586, 7993), List(2993, 6877), List(5794, 8696), List(7111, 9241), List(2722, 5071), List(9129, 10422), List(4303, 10415), List(7247, 8378), List(2589, 5481), List(774, 4659), List(6, 8463), List(431, 7703), List(6654, 10493), List(1962, 2350), List(6597, 9959), List(6002, 6366), List(3266, 4942), List(2581, 11255), List(2512, 6954), List(459, 8970), List(3580, 3789), List(1049, 9967), List(2857, 9618), List(10546, 11578), List(8799, 10668), List(1865, 5800), List(270, 3032), List(4695, 6859), List(8590, 10494), List(1417, 11302), List(1133, 11543), List(7139, 10134), List(6743, 10134), List(1915, 2130), List(3465, 8161), List(5995, 8928), List(197, 4624), List(2010, 9537), List(1695, 4049), List(6519, 7393), List(8260, 9986), List(7854, 9298), List(3186, 5713), List(5082, 5965), List(2804, 3167), List(374, 9397), List(1869, 8551), List(3522, 9045), List(1681, 9254), List(5631, 9590), List(3210, 7238), List(5202, 7198), List(5104, 10827), List(8777, 9165), List(1124, 1200), List(7383, 10063), List(10151, 10244), List(6164, 9272), List(3521, 8793), List(4730, 11525), List(3543, 3856), List(10569, 10942), List(951, 11256), List(4031, 6828), List(180, 5717), List(445, 538), List(5683, 9349), List(1197, 5246), List(2995, 8373), List(4999, 6438), List(6950, 9807), List(6102, 8020), List(6167, 9169), List(6235, 6829), List(1187, 7941), List(1722, 5067), List(4826, 7449), List(5540, 6038), List(5426, 9134), List(10087, 11548), List(6202, 10853), List(3423, 10513), List(3340, 8758), List(1778, 1966), List(1744, 5765), List(997, 11200), List(118, 7848), List(2549, 4472), List(613, 7827), List(9453, 10629), List(4506, 7629), List(2455, 4056), List(3945, 10036), List(151, 7207), List(7432, 9150), List(484, 8356), List(2855, 4929), List(394, 9594), List(3876, 10616), List(11071, 11287), List(4925, 9683), List(3559, 6967), List(1754, 2669), List(5281, 5346), List(8042, 10018), List(4434, 6413), List(9065, 10116), List(3528, 10283), List(2657, 5294), List(5514, 10428), List(6412, 11578), List(1128, 5775), List(3031, 7198), List(1589, 11088), List(9524, 11569), List(2772, 8435), List(6220, 8375), List(8212, 8335), List(3914, 9945), List(4603, 10921), List(778, 8779), List(1182, 9394), List(583, 1895), List(1450, 1480), List(2912, 11074), List(6814, 9464), List(6498, 10167), List(6369, 8067), List(6427, 11455), List(6680, 9649), List(944, 2813), List(5403, 5470), List(315, 3019), List(3372, 9719), List(2752, 10011), List(471, 3532), List(780, 10703), List(6793, 10465), List(7944, 9809), List(1786, 7414), List(1686, 10216), List(9683, 11575), List(900, 2891), List(1746, 3851), List(5233, 9381), List(8285, 9321), List(4913, 7713), List(63, 2367), List(302, 8045), List(1052, 2881), List(1019, 6905), List(3949, 5162), List(4689, 5726), List(888, 8142), List(5025, 9058), List(5147, 9987), List(10352, 10744), List(10125, 11519), List(5519, 8812), List(2568, 9678), List(792, 8030), List(6267, 6985), List(3994, 10947), List(3803, 7969), List(976, 10591), List(4147, 7779), List(2777, 6819), List(1125, 7681), List(2835, 4545), List(3237, 8497), List(1830, 2774), List(1556, 10119), List(4272, 10110), List(2025, 8877), List(6416, 7458), List(6815, 6975), List(3212, 10130), List(5943, 10429), List(6965, 7673), List(409, 8615), List(6001, 8155), List(2491, 5085), List(3293, 5773), List(110, 654), List(3756, 4716), List(4196, 4988), List(3695, 6692), List(1417, 3894), List(4187, 7154), List(448, 10448), List(6246, 8336), List(3937, 6225), List(5869, 6134), List(487, 3960), List(974, 9740), List(6388, 10671), List(4526, 10003), List(4615, 8540), List(4492, 7386), List(2057, 6856), List(7483, 9302), List(9873, 10089), List(2930, 10393), List(3983, 9202), List(10617, 10772), List(932, 9864), List(225, 1866), List(1995, 9361), List(7967, 9122), List(548, 6491), List(737, 9396), List(6941, 7972), List(3698, 9218), List(4544, 10178), List(3856, 4142), List(3381, 7067), List(215, 4561), List(4762, 9317), List(1104, 1461), List(4761, 5682), List(6674, 7069), List(4779, 10425), List(4908, 6109), List(1138, 10090), List(4865, 5281), List(8022, 9179), List(7201, 9215), List(697, 6183), List(2823, 9341), List(2071, 7262), List(2196, 6210), List(5730, 7422), List(566, 4387), List(4950, 8213), List(6312, 7777), List(841, 3279), List(8714, 9298), List(7805, 9487), List(1554, 11065), List(584, 1933), List(489, 4325), List(124, 3638), List(2364, 3700), List(6125, 8301), List(9356, 9704), List(8213, 8723), List(3196, 4230), List(1076, 5024), List(4508, 10847), List(267, 3165), List(4585, 8623), List(509, 2698), List(8602, 10935), List(238, 892), List(1516, 8679), List(317, 5911), List(3682, 4096), List(6080, 11160), List(4834, 6294), List(5546, 10472), List(6924, 9041), List(8543, 10705), List(341, 1020), List(2832, 4865), List(591, 10994), List(5112, 11119), List(532, 1719), List(5481, 10427), List(6279, 7963), List(4808, 6951), List(4324, 11268), List(5721, 6100), List(3345, 9183), List(139, 7278), List(7539, 10633), List(1756, 7361), List(11057, 11312), List(1100, 5744), List(6599, 9257), List(976, 3988), List(2875, 7921), List(5583, 9549), List(9975, 10984), List(1374, 10450), List(130, 8663), List(7012, 10335), List(844, 7252), List(1589, 5908), List(216, 1267), List(5885, 7635), List(7693, 11450), List(6423, 10694), List(811, 9024), List(2467, 9789), List(3768, 5694), List(3986, 7085), List(3617, 4744), List(28, 5353), List(1903, 10390), List(403, 4476), List(334, 8843), List(1989, 3748), List(401, 7032), List(4909, 6952), List(4102, 5166), List(5246, 9755), List(1512, 9229), List(803, 8732), List(2319, 8763), List(3995, 6797), List(1918, 2003), List(7678, 9987), List(8977, 11481), List(4190, 10648), List(5028, 7583), List(7146, 10126), List(1731, 5560), List(795, 8090), List(361, 11016), List(2596, 10734), List(4970, 6824), List(2374, 5437), List(4901, 8939), List(1482, 8239), List(732, 6987), List(2256, 11043), List(565, 8567), List(2935, 7167), List(8587, 10922), List(9712, 11297), List(7318, 11522), List(3139, 3964), List(1155, 8783), List(3977, 5063), List(4117, 11459), List(2405, 7352), List(4105, 9944), List(7806, 8078), List(1742, 10980), List(1403, 5098), List(312, 10723), List(1960, 10119), List(8111, 11343), List(962, 5355), List(6994, 11583), List(7030, 11240), List(22, 10395), List(2601, 9923), List(182, 1982), List(3284, 6947), List(6896, 11425), List(5647, 9294), List(6089, 6229), List(5927, 11563), List(7921, 8186), List(4710, 8189), List(2449, 7250), List(2504, 6957), List(228, 822), List(570, 4723), List(6017, 7292), List(7584, 8766), List(5423, 7307), List(9010, 10035), List(1541, 4631), List(7193, 8386), List(2523, 8138), List(105, 5303), List(3465, 9560), List(6199, 10157), List(3489, 7702), List(4046, 8559), List(7072, 7278), List(5661, 6317), List(6970, 9253), List(1831, 3831), List(800, 9507), List(3828, 7518), List(8981, 10394), List(889, 11427), List(10980, 11525), List(2950, 7020), List(8012, 10532), List(9548, 9687), List(4037, 4659), List(515, 6490), List(427, 4391), List(5430, 10706), List(3475, 9093), List(442, 1289), List(2664, 10571), List(1382, 5294), List(2404, 2538), List(2343, 10930), List(5459, 6159), List(3303, 6542), List(755, 2917), List(1942, 4170), List(1434, 8867), List(1432, 8794), List(1463, 8107), List(1058, 10273), List(6258, 9932), List(8216, 11062), List(2588, 5449), List(2180, 9596), List(2356, 5880), List(9706, 9872), List(4859, 10486), List(5203, 11050), List(5506, 8607), List(8961, 11216), List(5687, 10116), List(830, 3626), List(4109, 9207), List(3319, 10808), List(4100, 11373), List(146, 7131), List(5056, 10249), List(4683, 8166), List(550, 8123), List(2123, 2272), List(3786, 9870), List(9445, 11386), List(4557, 9747), List(7351, 11149), List(8130, 10133), List(9007, 11160), List(9377, 9939), List(7723, 9974), List(446, 3986), List(5948, 11180), List(5139, 9321), List(373, 8611), List(3852, 10116), List(4583, 11318), List(4614, 6467), List(1051, 1881), List(777, 2810), List(1800, 9324), List(155, 6439), List(1058, 6435), List(841, 7898), List(6712, 6853), List(2696, 7395), List(7002, 9810), List(8127, 10185), List(894, 6778), List(581, 2117), List(7275, 10908), List(140, 8790), List(1462, 9679), List(6247, 7433), List(3220, 9243), List(3989, 6041), List(5181, 7638), List(6743, 8768), List(1452, 5958), List(7083, 11088), List(511, 1728), List(4022, 7652), List(1291, 4320), List(4615, 8166), List(8947, 9550), List(480, 5798), List(2436, 3095), List(2274, 11435), List(970, 2427), List(2936, 10588), List(1969, 10799), List(6379, 9430), List(3144, 10537), List(1057, 7307), List(1690, 4968), List(2795, 3967), List(2048, 2986), List(7350, 9338), List(2923, 8848), List(1402, 8473), List(3580, 11067), List(10297, 10982), List(3984, 5266), List(2828, 3326), List(7156, 9472), List(2507, 3685), List(2732, 6247), List(4628, 6499), List(951, 6507), List(5849, 6582), List(4655, 10574), List(3225, 10317), List(3999, 8957), List(5160, 9743), List(4043, 9229), List(1011, 10695), List(4318, 4738), List(7021, 10186), List(3590, 7971), List(2571, 7992), List(6420, 9030), List(7508, 9523), List(443, 8144), List(3550, 7791), List(7569, 10930), List(4740, 6309), List(9900, 10356), List(3962, 10179), List(6192, 8799), List(9276, 10906), List(6072, 7916), List(11237, 11553), List(1249, 6672), List(4351, 5975), List(1794, 3762), List(5782, 7588), List(5224, 9512), List(952, 5927), List(3608, 11529), List(2082, 4394), List(4933, 6330), List(3138, 6884), List(9522, 10531), List(1291, 2360), List(5716, 6187), List(1829, 9583), List(454, 9033), List(1414, 11061), List(3680, 10092), List(3344, 10143), List(2726, 11262), List(9753, 9905), List(4216, 10072), List(911, 6276), List(3741, 6581), List(2345, 11570), List(1745, 3469), List(5953, 8759), List(2811, 6647), List(5196, 7090), List(5134, 6212), List(2071, 6083), List(1974, 6150), List(6814, 10781), List(7004, 7872), List(813, 9501), List(4080, 7151), List(2151, 4507), List(1466, 4404), List(3262, 6704), List(7778, 10649), List(7308, 7502), List(374, 9804), List(3129, 4862), List(2480, 6668), List(4668, 10704), List(5599, 7830), List(4842, 5407), List(1910, 4071), List(2104, 7320), List(84, 5312), List(4993, 5576), List(1419, 7217), List(8860, 11327), List(2698, 11442), List(5644, 10232), List(9883, 11425), List(9255, 11102), List(633, 3275), List(1567, 11252), List(9536, 10563), List(1062, 9050), List(2720, 9888), List(1994, 9784), List(5486, 9242), List(8791, 9628), List(5135, 8261), List(1279, 10970), List(200, 6776), List(400, 3454), List(1561, 3486), List(4298, 8518), List(3587, 8692), List(1655, 7285), List(803, 8008), List(5944, 7841), List(4416, 5541), List(4168, 8445), List(8647, 9125), List(4476, 6346), List(6716, 9818), List(1645, 11478), List(2679, 10237), List(150, 5908), List(905, 5252), List(9989, 10666), List(528, 3050), List(6159, 8180), List(2353, 10252), List(460, 3855), List(7147, 9223), List(8774, 10748), List(2635, 6151), List(455, 6894), List(6893, 11558), List(6580, 6897), List(7772, 8494), List(1193, 4379), List(1998, 9502), List(1848, 5771), List(874, 5565), List(6641, 8304), List(7606, 10676), List(5400, 6034), List(5230, 7343), List(5949, 7030), List(68, 7387), List(3583, 10801), List(1752, 3030), List(2443, 6331), List(4981, 10022), List(4329, 5895), List(3551, 9011), List(3236, 3523), List(6004, 10120), List(963, 1823), List(2368, 10883), List(1186, 9974), List(307, 6622), List(1179, 6551), List(9709, 10625), List(6934, 7775), List(6125, 11578), List(2636, 2969), List(1488, 7306), List(5569, 7159), List(2895, 4361), List(7622, 8526), List(10385, 10615), List(684, 9174), List(2169, 7640), List(496, 9123), List(4290, 9700), List(1728, 10149), List(6802, 8006), List(3091, 6932), List(9136, 11113), List(4186, 8596), List(5123, 9674), List(6582, 9171), List(9758, 10867), List(949, 962), List(10898, 11550), List(9258, 9763), List(791, 3005), List(3530, 3946), List(8220, 11262), List(5611, 9613), List(470, 3364), List(1003, 10243), List(4386, 5624), List(8587, 9743), List(1863, 5247), List(1305, 10581), List(1582, 9169), List(771, 3477), List(86, 3374), List(583, 4180), List(3790, 7441), List(7461, 9116), List(1153, 10160), List(685, 7840), List(2793, 5531), List(3161, 10653), List(186, 10371), List(21, 2198), List(4193, 7831), List(6593, 10060), List(9077, 9728), List(10298, 10565), List(4412, 10578), List(5315, 5656), List(2044, 11270), List(7020, 8592), List(3286, 5814), List(4896, 9644), List(7079, 9172), List(8231, 11370), List(2428, 6722), List(7696, 7828), List(6481, 10943), List(2093, 8129), List(7483, 10164), List(8032, 11160), List(2022, 9417), List(5423, 9511), List(748, 11171), List(10555, 10756), List(3203, 5937), List(1866, 8123), List(1528, 11511), List(2175, 8878), List(7691, 7834), List(1244, 5336), List(5946, 7751), List(8809, 11202), List(3475, 7564), List(8156, 9102), List(10166, 10422), List(6096, 8449), List(2691, 10865), List(8551, 9631), List(924, 7051), List(6237, 7176), List(2952, 8920), List(7307, 7844), List(10949, 11033), List(9767, 10124), List(7355, 10544), List(3465, 3843), List(2573, 5891), List(3815, 5353), List(1167, 3776), List(8479, 11448), List(3190, 5301), List(2341, 9705), List(2134, 6194), List(251, 6177), List(4867, 7320), List(7754, 11165), List(9629, 9786), List(899, 11316), List(8249, 8892), List(30, 2236), List(2891, 4860), List(88, 1460), List(9839, 10535), List(1245, 4756), List(2766, 9295), List(2391, 3002), List(4071, 8325), List(3663, 6056), List(6970, 10652), List(6836, 7454), List(1177, 6692), List(3532, 4260), List(913, 1169), List(6826, 10149), List(2251, 2591), List(1597, 1801), List(132, 11157), List(3210, 11564), List(5858, 6725), List(5889, 6038), List(127, 4397), List(8934, 11223), List(5818, 7326), List(3149, 7124), List(379, 4618), List(5852, 6910), List(3240, 7242), List(4261, 10677), List(3139, 3403), List(2951, 10522), List(2431, 8012), List(6249, 6731), List(337, 1359), List(2239, 11225), List(4758, 8450), List(2705, 10466), List(5198, 8722), List(3885, 8296), List(5225, 10545), List(1137, 9521), List(2642, 9363), List(7863, 10653), List(8792, 11116), List(237, 10927), List(1691, 3664), List(3931, 7890), List(753, 9531), List(2532, 8444), List(3526, 3640), List(2440, 8855), List(4336, 9107), List(3462, 8351), List(757, 3988), List(2873, 7956), List(5878, 7326), List(4516, 4729), List(2736, 5591), List(4790, 8681), List(624, 10410), List(7057, 10566), List(2824, 11073), List(1174, 4434), List(1676, 9748), List(1977, 6478), List(6813, 11337), List(3907, 5560), List(4399, 5268), List(3447, 7265), List(856, 2058), List(6611, 9698), List(1226, 1591), List(1232, 11205), List(3443, 10529), List(1542, 3517), List(1411, 7006), List(2443, 10600), List(7393, 10865), List(2314, 8500), List(11094, 11251), List(4179, 6433), List(6073, 10022), List(68, 8623), List(2963, 10077), List(4675, 7768), List(1621, 4749), List(5182, 9262), List(4791, 8882), List(1685, 5673), List(434, 9131), List(8689, 9028), List(9429, 9592), List(736, 801), List(5130, 5315), List(7435, 9936), List(1896, 9276), List(5284, 9165), List(1426, 4631), List(1671, 3681), List(8682, 8961), List(3844, 6685), List(4192, 7368), List(517, 1787), List(1940, 5791), List(6425, 10423), List(5031, 11321), List(2188, 2860), List(3495, 9133), List(564, 4235), List(6885, 8314), List(8569, 10373), List(868, 4646), List(9457, 10835), List(439, 8670), List(7010, 7262), List(9714, 11400), List(3455, 6701), List(2990, 10314), List(306, 412), List(4015, 11239), List(6286, 10614), List(8990, 9090), List(5217, 7138), List(4666, 9479), List(7807, 7956), List(6332, 9454), List(1165, 4990), List(9446, 9491), List(5857, 10100), List(6920, 9597), List(1034, 3194), List(10583, 10657), List(1694, 11346), List(445, 9215), List(228, 4262), List(5978, 11558), List(3330, 9981), List(8075, 9060), List(1525, 9847), List(1913, 9929), List(1029, 5479), List(1557, 7850), List(3699, 5125), List(2303, 9360), List(808, 3790), List(618, 10082), List(404, 9564), List(5903, 5907), List(3814, 6014), List(6563, 8397), List(7184, 10959), List(1422, 2148), List(5351, 8777), List(492, 2214), List(5065, 8191), List(6653, 10542), List(7520, 10127), List(4058, 5593), List(978, 8523), List(802, 6577), List(5065, 5158), List(320, 6079), List(4815, 11399), List(1295, 3477), List(4304, 5999), List(8443, 9994), List(5862, 9639), List(4468, 10537), List(7348, 10959), List(192, 10216), List(724, 1409), List(2561, 10126), List(7786, 8152), List(4730, 11476), List(6166, 7017), List(1224, 11531), List(4385, 7277), List(7556, 8629), List(4756, 9664), List(4453, 9855), List(9370, 9980), List(3701, 8530), List(6710, 6888), List(7346, 10482), List(3115, 7652), List(10450, 10612), List(2762, 10008), List(3877, 9695), List(3639, 10281), List(3906, 8181), List(4248, 11328), List(4191, 10794), List(609, 1994), List(4817, 8038), List(2938, 11173), List(9538, 10503), List(5648, 7966), List(9443, 11397), List(1912, 4361), List(5952, 8377), List(1509, 7354), List(953, 9351), List(7290, 9799), List(3788, 6590), List(7912, 8799), List(5978, 6565), List(781, 3390), List(2936, 5034), List(4298, 8762), List(937, 11450), List(189, 445), List(1209, 2524), List(3392, 6216), List(7368, 8527), List(3043, 5281), List(2767, 9547), List(1322, 9756), List(2884, 4470), List(4090, 9937), List(1074, 3238), List(4346, 7648), List(7026, 11392), List(5653, 7505), List(6181, 9876), List(3815, 11395), List(1038, 6964), List(9, 2887), List(4406, 11082), List(1220, 2282), List(4554, 5318), List(409, 10176), List(6923, 7480), List(5512, 6519), List(4460, 4902), List(2712, 5302), List(2435, 2550), List(408, 3535), List(1686, 11322), List(5353, 5708), List(9686, 9946), List(7850, 10499), List(1217, 9531), List(3548, 8957), List(1860, 9408), List(3862, 10810), List(5887, 5992), List(6071, 8553), List(2771, 2849), List(2050, 2335), List(4980, 7762), List(1833, 4552), List(7440, 9288), List(8185, 10196), List(1432, 10624), List(6096, 10303), List(3689, 11067), List(516, 7390), List(7460, 10694), List(2355, 6354), List(7515, 10401), List(3757, 9481), List(2415, 11323), List(6797, 7906), List(5554, 8973), List(9261, 10305), List(8292, 10443), List(603, 6985), List(1015, 10871), List(3341, 10707), List(786, 9321), List(2219, 7597), List(10054, 10880), List(5327, 10098), List(687, 2145), List(3675, 6796), List(4480, 11165), List(8470, 9402), List(1089, 6097), List(1797, 11287), List(2464, 3614), List(9427, 11132), List(9810, 10870), List(2849, 9871), List(5168, 6254), List(743, 2427), List(4815, 10862), List(9987, 10008), List(235, 7124), List(10697, 11107), List(10296, 10763), List(1896, 7479), List(6775, 9032), List(3444, 4015), List(3347, 10498), List(7452, 8493), List(3844, 4888), List(1574, 9121), List(8847, 10449), List(6199, 8872), List(4122, 6330), List(6898, 10536), List(4400, 6274), List(2784, 8291), List(2371, 6432), List(137, 10322), List(6818, 8328), List(6857, 7502), List(90, 9752), List(1463, 7977), List(4820, 7799), List(4444, 8451), List(3389, 9569), List(3239, 5838), List(4020, 6403), List(3731, 6300), List(5657, 7892), List(8062, 10465), List(2565, 2891), List(6067, 9453), List(4978, 5325), List(4713, 9780), List(4246, 4652), List(9488, 10953), List(319, 8649), List(422, 5364), List(1379, 1459), List(9979, 11190), List(201, 10091), List(9258, 11430), List(814, 2212), List(2726, 10514), List(5510, 10474), List(4863, 6691), List(1840, 5991), List(2719, 2927), List(5109, 10130), List(1599, 2896), List(637, 10621), List(5664, 7908), List(1068, 6643), List(7343, 9623), List(6730, 11086), List(2515, 8789), List(4200, 7286), List(1713, 10730), List(906, 4780), List(4918, 6748), List(7657, 8443), List(2232, 2435), List(2229, 8553), List(6335, 10156), List(5619, 7734), List(3413, 7256), List(5467, 10346), List(3879, 8749), List(512, 7485), List(4471, 6409), List(9295, 9753), List(4190, 10331), List(2494, 6757), List(6652, 8520), List(2313, 4467), List(1729, 10832), List(359, 10626), List(44, 2886), List(1349, 8332), List(7657, 10671), List(394, 8553), List(7940, 10205), List(672, 4333), List(3910, 6907), List(2320, 3729), List(4200, 9864), List(776, 2404), List(1882, 4257), List(2408, 3549), List(3846, 8585), List(5783, 8838), List(1294, 6716), List(1067, 7491), List(206, 9606), List(4380, 5486), List(4065, 4162), List(321, 2948), List(966, 4406), List(6392, 6852), List(258, 2599), List(5416, 5819), List(9367, 9763), List(292, 11228), List(5227, 6297), List(727, 11156), List(244, 7804), List(4972, 5024), List(3831, 4116), List(5387, 6929), List(9831, 11560), List(339, 1625), List(5882, 11072), List(4139, 7652), List(3540, 7323), List(1487, 2923), List(4195, 8715), List(1203, 3164), List(4348, 9711), List(6084, 7796), List(1227, 1306), List(3595, 10413), List(4493, 11563), List(598, 1512), List(1134, 2246), List(8227, 10554), List(1560, 10756), List(10159, 10463), List(1281, 4925), List(2065, 9171), List(310, 8400), List(2463, 9217), List(6816, 11478), List(3803, 11466), List(1334, 11352), List(2774, 10799), List(5534, 6201), List(1160, 3817), List(413, 8498), List(1468, 8134), List(8037, 11561), List(2279, 10039), List(2768, 6820), List(372, 5464), List(430, 9606), List(6285, 8028), List(2352, 8073), List(5992, 10435), List(448, 7179), List(1478, 4284), List(1543, 8843), List(4891, 5169), List(2481, 6359), List(446, 3319), List(6729, 11078), List(6773, 11350), List(1002, 11121), List(1193, 2021), List(6917, 7342), List(449, 11137), List(33, 4843), List(4365, 6227), List(1906, 7555), List(1116, 9156), List(679, 2739), List(7256, 10191), List(1709, 4008), List(5506, 10518), List(678, 2514), List(2047, 3249), List(1179, 10609), List(2232, 8664), List(4465, 5303), List(4163, 11354), List(2257, 3998), List(7771, 8543), List(395, 3330), List(4293, 9892), List(7638, 8953), List(9824, 9910), List(6646, 11551), List(11274, 11573), List(823, 4716), List(2248, 3131), List(3180, 3865), List(2128, 7910), List(3053, 7473), List(8414, 8770), List(33, 4038), List(6041, 9118), List(4425, 5473), List(7405, 9509), List(5729, 8065), List(4516, 5591), List(3707, 9394), List(5075, 7275), List(6795, 11243), List(1551, 8279), List(6189, 8989), List(4642, 7393), List(5356, 5982), List(7118, 9452), List(2610, 3870), List(2019, 6812), List(7683, 8672), List(5255, 9313), List(3133, 7028), List(2670, 5052), List(7835, 9443), List(10142, 10727), List(1582, 10194), List(2384, 4466), List(3077, 9348), List(297, 1236), List(10298, 11240), List(8731, 9766), List(4429, 8224), List(6703, 7116), List(6137, 8425), List(3437, 6658), List(5114, 5294), List(8159, 10479), List(1034, 9049), List(3797, 8132), List(199, 5215), List(8077, 11578), List(3647, 5155), List(340, 11112), List(1907, 5416), List(1217, 4969), List(10704, 11554), List(2366, 3486), List(60, 5056), List(163, 2525), List(2768, 7438), List(1750, 11067), List(3075, 11530), List(1590, 6648), List(147, 1268), List(3166, 7484), List(6834, 8888), List(4325, 10853), List(1362, 10204), List(10567, 11441), List(3607, 8358), List(142, 143), List(7735, 11440), List(144, 4353), List(5436, 10017), List(1546, 7480), List(1943, 3918), List(5499, 8087), List(3257, 7198), List(7168, 8360), List(4807, 6059), List(1386, 2280), List(252, 10487), List(8347, 8971), List(9158, 10876), List(7296, 10208), List(3775, 9231), List(6595, 8848), List(5129, 8180), List(1658, 7290), List(7188, 10116), List(309, 791), List(1109, 5570), List(364, 5416), List(5102, 9740), List(6380, 11111), List(5069, 7348), List(3973, 5459), List(2333, 3672), List(3258, 6645), List(6809, 10470), List(7462, 11035), List(6645, 8561), List(8148, 8330), List(1665, 10339), List(1412, 5729), List(10818, 11386), List(8103, 8587), List(2385, 6464), List(7858, 8756), List(2997, 11192), List(3563, 7631), List(7511, 7894), List(2215, 11156), List(8877, 11364), List(9648, 10487), List(4835, 10685), List(6177, 9597), List(1372, 3297), List(5630, 8704), List(3737, 8723), List(1056, 11170), List(65, 407), List(4474, 5983), List(5110, 9577), List(2139, 9067), List(4831, 10916), List(3513, 10146), List(6410, 8263), List(6348, 7385), List(5994, 6887), List(8854, 9286), List(2885, 9796), List(2949, 5085), List(2257, 10227), List(3692, 5166), List(6995, 8135), List(4223, 8966), List(1817, 2758), List(8040, 9712), List(9225, 10892), List(2033, 7486), List(5049, 7769), List(3029, 9925), List(262, 6936), List(4589, 9474), List(5019, 9058), List(7950, 10169), List(10, 2928), List(5118, 6785), List(4514, 7610), List(787, 6003), List(6812, 8808), List(1159, 4828), List(4638, 6333), List(622, 1213), List(5226, 6503), List(842, 2677), List(3328, 6178), List(3675, 10423), List(6882, 7268), List(30, 11100), List(2174, 4284), List(3010, 10972), List(3237, 3781), List(1640, 3596), List(4718, 4757), List(5538, 10912), List(3785, 10968), List(2665, 10937), List(208, 2512), List(2577, 4674), List(2422, 7769), List(6558, 11493), List(7142, 7757), List(1605, 8678), List(5557, 5677), List(2434, 7779), List(1782, 2898), List(7856, 10483), List(8570, 9072), List(7508, 9019), List(5512, 11569), List(5632, 10173), List(4326, 6754), List(6098, 9414), List(657, 9289), List(9673, 10627), List(8227, 11335), List(5504, 7894), List(1211, 9848), List(6958, 11211), List(361, 4982), List(4127, 9927), List(6996, 10914), List(3624, 5142), List(7457, 11309), List(9606, 9755), List(4403, 9044), List(3725, 5948), List(6808, 10863), List(4528, 7992), List(5147, 9727), List(9727, 11213), List(3877, 6719), List(670, 3458), List(4337, 7643), List(1689, 6066), List(978, 11158), List(8729, 9078), List(1162, 7303), List(4579, 7176), List(5929, 10113), List(1127, 10500), List(532, 6907), List(4204, 11436), List(2423, 3028), List(10266, 10336), List(3609, 11226), List(589, 10043), List(840, 7410), List(4785, 7402), List(490, 615), List(2320, 8161), List(300, 6907), List(768, 2057), List(1540, 11204), List(296, 3001), List(1760, 7006), List(1099, 11461), List(1381, 10393), List(1412, 5542), List(6642, 8076), List(6538, 6972), List(4001, 6889), List(3177, 9660), List(7077, 11387), List(2707, 11431), List(7135, 8359), List(34, 907), List(624, 8320), List(3327, 10358), List(6443, 7085), List(4366, 8707), List(4118, 5195), List(5292, 5489), List(1623, 3860), List(2058, 10204), List(5788, 9076), List(1807, 9804), List(453, 2961), List(4814, 11499), List(2543, 6462), List(7028, 10340), List(3687, 4635), List(304, 2838), List(5063, 6541), List(5961, 7691), List(367, 7324), List(1105, 4055), List(229, 7390), List(2975, 3086), List(3537, 10703), List(6646, 11177), List(1505, 4928), List(4648, 6484), List(4340, 6331), List(1071, 2192), List(7357, 9468), List(2646, 2803), List(5424, 10088), List(6138, 8677), List(6225, 11305), List(7095, 10407), List(4861, 7881), List(4141, 8723), List(4669, 11094), List(4597, 9528), List(1077, 1606), List(5197, 11213), List(3695, 4472), List(3540, 7567), List(5589, 8061), List(743, 5867), List(8205, 10100), List(8637, 10511), List(6462, 10844), List(3470, 5293), List(3162, 11556), List(6643, 9724), List(6590, 9309), List(5148, 6783), List(6829, 9325), List(3496, 7645), List(1414, 4759), List(3152, 3671), List(1854, 5031), List(3406, 4719), List(2874, 11274), List(9417, 10070), List(8070, 10814), List(976, 4533), List(1000, 9091), List(9229, 10019), List(1436, 5457), List(5331, 6840), List(4830, 8544), List(1533, 2357), List(7878, 10994), List(5849, 11152), List(2604, 5155), List(4037, 9847), List(10513, 11585), List(1803, 7321), List(1185, 8440), List(9917, 10019), List(5249, 6434), List(5094, 9529), List(7895, 11348), List(3752, 10617), List(10111, 11016), List(6093, 10731), List(732, 7182), List(2910, 6366), List(4842, 5521), List(2634, 10632), List(506, 5149), List(3339, 5725), List(603, 8465), List(1229, 11371), List(567, 1638), List(14, 8070), List(1607, 3595), List(7954, 8895), List(2039, 4006), List(912, 2804), List(5359, 11116), List(11114, 11586), List(2778, 4345), List(10596, 10657), List(5923, 6728), List(3929, 5941), List(3175, 7199), List(1406, 9728), List(5673, 5799), List(2906, 9226), List(848, 10898), List(1306, 5360), List(478, 9867), List(222, 5740), List(5863, 11558), List(5347, 5814), List(1062, 6131), List(3085, 7656), List(6438, 10742), List(6071, 9228), List(5412, 10346), List(3452, 6137), List(7469, 8449), List(8117, 9424), List(1923, 5120), List(629, 8881), List(8008, 11359), List(860, 8225), List(5741, 6441), List(1154, 7948), List(6021, 8710), List(1214, 8753), List(3487, 4037), List(1537, 7686), List(11022, 11192), List(3520, 9812), List(1279, 10279), List(4753, 11440), List(2769, 4925), List(3433, 4151), List(1375, 9987), List(1580, 7009), List(1270, 8281), List(2990, 9997), List(6254, 7376), List(2802, 10700), List(459, 3343), List(2766, 8791), List(1145, 10464), List(149, 2363), List(1673, 6419), List(490, 6039), List(579, 4576), List(3871, 9638), List(4277, 8828), List(918, 8179), List(3375, 3772), List(1195, 3761), List(7454, 9214), List(5181, 6760), List(131, 629), List(4236, 5040), List(3217, 5815), List(3246, 4301), List(6848, 10343), List(4040, 11517), List(4198, 5687), List(4633, 5615), List(5622, 6883), List(6251, 9306), List(19, 2266), List(3752, 11235), List(7021, 8958), List(5661, 9440), List(6922, 8198), List(1853, 4269), List(613, 9771), List(1663, 1893), List(4964, 11205), List(9873, 10715), List(2321, 9972), List(2756, 9900), List(6899, 10631), List(4497, 6077), List(2707, 6251), List(7039, 9887), List(6987, 9697), List(7469, 8717), List(3056, 9788), List(4570, 6740), List(2577, 9561), List(1625, 5142), List(7124, 8655), List(2542, 4090), List(1544, 5742), List(2363, 2627), List(802, 5105), List(2269, 6375), List(1336, 8422), List(460, 4587), List(489, 3073), List(7271, 8301), List(7259, 10950), List(3933, 5523), List(3186, 10958), List(7236, 9246), List(4094, 10544), List(5610, 11329), List(173, 2278), List(3965, 8444), List(5303, 9866), List(134, 2323), List(1259, 6862), List(3833, 5292), List(479, 9151), List(10145, 11537), List(5416, 10682), List(2124, 9003), List(3646, 5816), List(11053, 11096), List(6636, 11294), List(6631, 10950), List(62, 6769), List(331, 5496), List(2423, 2654), List(8959, 10105), List(1464, 9896), List(1298, 1498), List(1196, 1221), List(8518, 9581), List(7326, 7984), List(8827, 11090), List(6251, 11079), List(3691, 5185), List(4534, 6628), List(4087, 5939), List(1167, 6118), List(6557, 8153), List(1191, 10676), List(2971, 6027), List(7637, 8785), List(137, 8232), List(507, 595), List(1131, 2674), List(1062, 11205), List(1530, 7109), List(4869, 6325), List(573, 2346), List(10252, 11353), List(538, 5543), List(3497, 8702), List(1183, 6247), List(1740, 7858), List(3584, 11330), List(465, 3752), List(2049, 2197), List(3301, 8763), List(2241, 8783), List(6155, 10216), List(2394, 3363), List(1991, 8608), List(1614, 5652), List(7684, 8200), List(2453, 10359), List(4447, 6228), List(3263, 9410), List(2549, 3651), List(2638, 9358), List(5475, 7424), List(4064, 4211), List(3199, 11088), List(4465, 7938), List(5586, 10823), List(6978, 9098), List(688, 7715), List(4986, 6105), List(282, 611), List(2119, 10082), List(5075, 9560), List(2272, 6160), List(2872, 8599), List(3457, 5088), List(5848, 8729), List(5843, 8385), List(9829, 11384), List(3165, 3933), List(3550, 4498), List(10107, 10574), List(1485, 2747), List(1357, 3501), List(677, 10158), List(1136, 1812), List(1796, 9964), List(1129, 4805), List(738, 5149), List(2908, 3718), List(8759, 11066), List(6743, 9931), List(1414, 4385), List(3518, 4586), List(1713, 4452), List(5429, 5870), List(6069, 6230), List(1676, 5324), List(8616, 11138), List(6315, 6636), List(7994, 8351), List(8460, 9844), List(1407, 9980), List(5280, 8406), List(1271, 4457), List(1645, 5607), List(740, 7450), List(7591, 10563), List(4661, 5890), List(5719, 9207), List(2885, 10658), List(4542, 8642), List(927, 9528), List(2635, 9729), List(6625, 7966), List(1882, 8933), List(4068, 11388), List(976, 6387), List(4377, 6481), List(3400, 6004), List(8410, 9326), List(3403, 6275), List(566, 1793), List(784, 3184), List(2036, 9750), List(9257, 10888), List(3885, 8678), List(1275, 6804), List(10084, 10293), List(4700, 5040), List(6651, 11415), List(6214, 11414), List(7530, 8351), List(861, 4720), List(7027, 7730), List(4757, 11209), List(516, 7691), List(177, 1809), List(5813, 7283), List(3628, 7682), List(206, 295), List(8879, 11093), List(3600, 5634), List(481, 2220), List(8980, 11145), List(269, 11197), List(5031, 7247), List(2101, 2574), List(229, 1218), List(3248, 4428), List(9266, 10950), List(3471, 10327), List(4237, 5696), List(2375, 5028), List(6509, 7925), List(6789, 10194), List(1627, 10238), List(4084, 8083), List(3585, 4952), List(1754, 5849), List(687, 2446), List(7665, 10996), List(7532, 11406), List(3387, 9848), List(5135, 7196), List(2800, 10280), List(2143, 5809), List(6824, 9599), List(2795, 3520), List(4665, 4803), List(5200, 5339), List(9422, 11089), List(3983, 8381), List(7563, 9938), List(5820, 10682), List(4982, 9583), List(6128, 8583), List(7619, 11001), List(1457, 11116), List(4471, 8320), List(4226, 7735), List(2344, 5691), List(6329, 8465), List(5147, 7556), List(5395, 11041), List(306, 4982), List(3549, 3736), List(4478, 11369), List(2859, 3289), List(6012, 9697), List(441, 4618), List(8682, 9343), List(2419, 6400), List(4762, 7341), List(1996, 7960), List(6504, 7126), List(733, 6897), List(8554, 10474), List(3793, 4446), List(1138, 1698), List(3407, 6662), List(8897, 10813), List(8040, 11192), List(5120, 7961), List(10472, 11424), List(5625, 6376), List(1850, 10013), List(4279, 10728), List(2629, 7499), List(6331, 10739), List(3750, 10384), List(8633, 9427), List(6324, 7316), List(1244, 4726), List(4296, 11082), List(5791, 10236), List(2487, 7042), List(809, 8935), List(2464, 5338), List(6129, 10231), List(8831, 11290), List(1835, 6298), List(1523, 10907), List(1893, 9686), List(6432, 11171), List(4011, 8065), List(1607, 2684), List(5430, 8917), List(2574, 10020), List(1328, 7406), List(5710, 8153), List(2842, 4358), List(7265, 7358), List(9847, 10567), List(7421, 7871), List(415, 7853), List(3122, 10010), List(1219, 9341), List(3212, 5739), List(2618, 11416), List(1374, 9629), List(1503, 6067), List(6816, 10356), List(2148, 6771), List(54, 2370), List(2335, 2433), List(4355, 4441), List(4845, 8240), List(340, 6339), List(1204, 1489), List(1014, 7781), List(243, 6406), List(1925, 7638), List(2885, 9666), List(9760, 10921), List(3445, 7788), List(1502, 7720), List(10782, 10794), List(7415, 10284), List(2750, 10380), List(1967, 2572), List(478, 11534), List(4797, 7014), List(561, 10256), List(8874, 10131), List(4920, 11551), List(252, 5714), List(1492, 4349), List(8990, 11245), List(2508, 9692), List(1450, 4123), List(4507, 10823), List(7053, 7959), List(5344, 7533), List(10067, 10825), List(3718, 9616), List(5096, 8185), List(3227, 5592), List(2010, 6382), List(6834, 9726), List(3159, 4899), List(1072, 1669), List(8568, 11148), List(8881, 10147), List(388, 10836), List(9662, 9958), List(1811, 2008), List(1910, 5397), List(3431, 6526), List(760, 3245), List(755, 2901), List(4710, 10751), List(1971, 2640), List(9983, 11477), List(5382, 9114), List(6075, 7580), List(3952, 8857), List(953, 5545), List(5068, 11398), List(219, 8933), List(3206, 4314), List(2428, 7430), List(143, 9877), List(6815, 10773), List(3816, 8215), List(3503, 3554), List(2735, 8112), List(85, 3456), List(1518, 1732), List(1232, 7562), List(1199, 11586), List(5934, 9977), List(232, 6135), List(3710, 7415), List(3620, 10905), List(1970, 2014), List(8506, 9465), List(567, 11494), List(4001, 7564), List(1250, 2856), List(6977, 8448), List(7156, 9911), List(841, 1116), List(314, 8769), List(2776, 6958), List(441, 10042), List(10048, 11067), List(1361, 9261), List(2082, 2605), List(1089, 4601), List(1345, 8728), List(2059, 7317), List(5096, 6225), List(2757, 5403), List(6688, 8695), List(1772, 11424), List(9260, 11216), List(6376, 6888), List(4473, 5465), List(4812, 9849), List(3069, 6429), List(1978, 11300), List(1166, 9170), List(5431, 11584), List(9942, 11021), List(8075, 9255), List(4183, 5891), List(2090, 2092), List(4801, 8155), List(265, 11105), List(2994, 7194), List(4207, 7416), List(6072, 8355), List(8167, 9194), List(168, 11172), List(569, 11516), List(1255, 2395), List(2368, 7671), List(4761, 7975), List(1989, 8806), List(3895, 8992), List(3678, 4793), List(8220, 9205), List(207, 2425), List(4604, 11374), List(2515, 11481), List(3661, 6317), List(5259, 6350), List(8024, 9266), List(5374, 6862), List(1800, 8503), List(4878, 8910), List(10198, 10960), List(6934, 11329), List(1573, 2862), List(3252, 4577), List(6806, 11329), List(5646, 8489), List(3748, 11574), List(6807, 8521), List(1641, 11075), List(511, 3940), List(1357, 4900), List(127, 6983), List(4244, 6493), List(2282, 7873), List(3813, 9690), List(783, 5567), List(8260, 10832), List(1029, 1836), List(1648, 10741), List(7134, 10986), List(3273, 9187), List(1895, 4202), List(8345, 10381), List(5795, 5929), List(1769, 5783), List(1363, 4341), List(5698, 5996), List(5258, 11359), List(3362, 4691), List(1117, 5039), List(7113, 8604), List(6966, 11560), List(4031, 10707), List(7145, 7361), List(5466, 9029), List(2821, 4717), List(1107, 6199), List(3870, 6036), List(7447, 8076), List(2598, 8617), List(6051, 8901), List(5180, 9574), List(2993, 9146), List(2659, 3608), List(234, 10182), List(1158, 10301), List(103, 4249), List(5261, 7469), List(2929, 8572), List(2833, 11493), List(5813, 11365), List(1060, 9362), List(2232, 9583), List(1332, 7606), List(9737, 11234), List(272, 8380), List(654, 8674), List(4692, 5447), List(3642, 6909), List(108, 7225), List(7062, 11217), List(1766, 8063), List(419, 8807), List(2602, 8335), List(8460, 10438), List(2322, 8695), List(9533, 9899), List(2594, 4687), List(1790, 9588), List(3433, 10892), List(973, 2950), List(2719, 5887), List(7167, 8385), List(7072, 11531), List(1903, 3234), List(1488, 11128), List(4070, 7921), List(5350, 5955), List(5263, 10874), List(617, 11020), List(216, 10676), List(2864, 5837), List(4502, 7551), List(2883, 3635), List(3920, 8327), List(3299, 5765), List(181, 5205), List(269, 1642), List(6312, 9160), List(1973, 4353), List(13, 2396), List(4844, 7665), List(11468, 11553), List(2478, 9184), List(386, 5610), List(8135, 9873), List(4470, 9144), List(5267, 10242), List(1321, 10025), List(8881, 11383), List(8757, 8873), List(3339, 11206), List(83, 11436), List(3156, 11499), List(3691, 8625), List(7322, 10901), List(4555, 7912), List(3056, 4852), List(5193, 7445), List(5232, 7373), List(1594, 11473), List(935, 6175), List(5688, 10807), List(4661, 7557), List(549, 6139), List(559, 6827), List(3823, 10622), List(1087, 6946), List(4215, 7470), List(1207, 7802), List(1233, 6771), List(8521, 9885), List(4261, 7815), List(2234, 11052), List(553, 6258), List(3979, 4719), List(3450, 5129), List(10695, 10825), List(9640, 9691), List(483, 4738), List(1487, 7038), List(7583, 8555), List(6955, 8232), List(916, 1587), List(5924, 7492), List(6015, 7610), List(886, 2876), List(4285, 8559), List(1033, 5555), List(10557, 11241), List(5830, 10459), List(7251, 11384), List(90, 10297), List(1057, 2916), List(8691, 10831), List(3793, 4340), List(8066, 10779), List(4888, 6758), List(2081, 4370), List(5439, 7046), List(1774, 2907), List(4380, 10674), List(1887, 6756), List(1978, 6120), List(2879, 4535), List(974, 7203), List(2505, 2604), List(1942, 9846), List(1388, 6254), List(879, 3933), List(4779, 5660), List(1319, 4205), List(5773, 6518), List(3402, 9945), List(859, 6664), List(3068, 10823), List(6855, 10229), List(35, 3019), List(2032, 9739), List(1065, 6540), List(4799, 9695), List(4057, 9058), List(289, 7450), List(248, 7449), List(2338, 3780), List(2331, 6773), List(1584, 5792), List(4171, 9345), List(2586, 11429), List(2030, 9262), List(1870, 4843), List(1185, 11156), List(1149, 5083), List(8372, 11185), List(2145, 10905), List(6371, 6975), List(1856, 10802), List(1049, 9016), List(8547, 9496), List(338, 3528), List(2721, 9560), List(10666, 10729), List(7710, 8999), List(8398, 9373), List(3751, 4413), List(3028, 3072), List(3993, 10362), List(8012, 9337), List(8199, 9163), List(3927, 5578), List(8720, 10363), List(4207, 7847), List(2958, 5716), List(1091, 11120), List(5800, 10542), List(638, 9832), List(287, 2435), List(6109, 11297), List(1252, 5561), List(3239, 10839), List(4739, 11091), List(4138, 9181), List(5105, 5964), List(4053, 10763), List(645, 3082), List(211, 346), List(597, 10181), List(5537, 5594), List(9642, 10005), List(6448, 11113), List(4134, 8658), List(2303, 7303), List(5905, 6929), List(5566, 7463), List(772, 5459), List(1814, 9771), List(828, 6522), List(5890, 9280), List(6456, 7971), List(8257, 8363), List(2064, 6913), List(4680, 9706), List(2397, 2400), List(2094, 2591), List(1994, 5393), List(7291, 11401), List(1092, 6753), List(1873, 7318), List(4734, 9942), List(4637, 10009), List(4673, 5502), List(5796, 9214), List(6288, 9676), List(5352, 5790), List(2738, 9459), List(10391, 11008), List(6437, 6766), List(614, 6347), List(6255, 10667), List(338, 4951), List(2760, 3741), List(6237, 8583), List(72, 9181), List(366, 3212), List(6269, 11504), List(9725, 11305), List(7822, 9882), List(10597, 11234), List(3622, 6365), List(1980, 10167), List(6020, 7767), List(566, 3273), List(2035, 7622), List(8470, 8605), List(1820, 5748), List(2664, 10799), List(7540, 7917), List(4393, 5461), List(3498, 7992), List(4883, 9260), List(688, 7585), List(215, 5675), List(7940, 8790), List(5978, 10924), List(708, 2575), List(747, 1749), List(5537, 7017), List(3135, 8879), List(5822, 9630), List(2085, 7335), List(1739, 6698), List(5228, 8891), List(156, 5445), List(1145, 5959), List(3442, 6555), List(1867, 5163), List(2832, 8289), List(1700, 6743), List(1118, 7519), List(3578, 9799), List(3265, 4384), List(9541, 10972), List(8333, 8842), List(6029, 7075), List(5645, 10118), List(6768, 7414), List(4529, 10960), List(2559, 8315), List(2168, 8659), List(9969, 10860), List(1810, 10671), List(1535, 2330), List(3212, 9634), List(6610, 10211), List(478, 6785), List(913, 5959), List(5610, 8784), List(1279, 8002), List(3577, 5036), List(411, 1776), List(4578, 7819), List(6374, 10119), List(3483, 11036), List(2863, 9830), List(2918, 9537), List(7308, 10145), List(10823, 11307), List(2724, 3255), List(2390, 4133), List(546, 3290), List(2070, 8100), List(1910, 10097), List(6705, 9293), List(2319, 8804), List(566, 4696), List(5151, 6526), List(7694, 9807), List(6771, 11044), List(544, 10764), List(3581, 4754), List(4706, 5129), List(1688, 8937), List(2130, 5118), List(4203, 10170), List(745, 3126), List(1565, 3619), List(2341, 3086), List(1434, 10518), List(4546, 10509), List(2314, 11062), List(5922, 8251), List(2582, 9564), List(3239, 7619), List(2494, 7465), List(959, 4748), List(1934, 7808), List(8240, 10855), List(1712, 3265), List(4974, 6233), List(2199, 2629), List(3545, 8830), List(3980, 8004), List(3285, 7213), List(2703, 7989), List(1946, 8572), List(3971, 10924), List(3592, 7895), List(139, 5359), List(8177, 8971), List(1852, 5904), List(73, 6991), List(8608, 9157), List(6674, 6923), List(1321, 9651), List(2790, 3420), List(3065, 5345), List(2311, 7357), List(3620, 9539), List(8818, 9906), List(6049, 10254), List(3143, 3723), List(5233, 6470), List(5890, 9443), List(1867, 2398), List(7242, 8319), List(5853, 9561), List(3521, 6500), List(7490, 11050), List(809, 966), List(7868, 10444), List(1834, 7553), List(273, 10031), List(2319, 6844), List(3203, 4124), List(5130, 10105), List(3635, 10951), List(273, 3615), List(1446, 6690), List(1518, 2594), List(2147, 11433), List(5991, 11373), List(4532, 5460), List(8864, 9096), List(1729, 2814), List(8919, 9557), List(6424, 8222), List(388, 7510), List(3132, 8795), List(10345, 10826), List(3507, 8672), List(5276, 6897), List(10157, 10775), List(2749, 3395), List(9999, 10189), List(126, 2814), List(4996, 7257), List(2645, 5674), List(8281, 11148), List(602, 8378), List(159, 7808), List(8527, 11554), List(4702, 9412), List(1855, 4242), List(7470, 9593), List(9139, 9866), List(1341, 5684), List(522, 8799), List(8834, 9984), List(7939, 8351), List(1554, 6731), List(4407, 9494), List(365, 8815), List(7897, 8125), List(4406, 5105), List(734, 10375), List(5188, 6272), List(2827, 11141), List(5649, 7421), List(2946, 6137), List(4491, 4654), List(10280, 11124), List(3465, 4258), List(3162, 4449), List(2188, 6495), List(2439, 10278), List(918, 3487), List(9503, 11432), List(1282, 10365), List(4176, 8965), List(7564, 8854), List(5394, 9531), List(1039, 11361), List(2438, 3637), List(351, 407), List(44, 10278), List(10961, 11458), List(789, 4016), List(214, 7491), List(819, 6110), List(2395, 10356), List(1500, 6471), List(7943, 8069), List(10921, 11278), List(5561, 10583), List(220, 8410), List(591, 10043), List(3137, 4927), List(6189, 7119), List(1731, 5064), List(4809, 5471), List(2546, 4459), List(367, 8056), List(2848, 10459), List(694, 10171), List(3928, 4675), List(2496, 10007), List(9137, 9338), List(3875, 11430), List(3710, 6667), List(4742, 11015), List(5234, 11477), List(1276, 9745), List(9505, 10673), List(4822, 6056), List(3426, 10291), List(1965, 10721), List(3137, 3772), List(929, 8883), List(499, 3637), List(7069, 10672), List(116, 9534), List(1769, 10028), List(8245, 11012), List(6192, 6612), List(216, 10115), List(9206, 10232), List(2604, 10075), List(307, 10233), List(5775, 7263), List(3237, 4326), List(3383, 9813), List(7050, 8363), List(3910, 7078), List(5275, 10323), List(4590, 6056), List(9020, 10227), List(5708, 9424), List(4125, 8171), List(2595, 3546), List(1225, 9002), List(4678, 9286), List(1376, 9171), List(4526, 5482), List(3461, 5158), List(3244, 7375), List(7504, 8691), List(3338, 10420), List(6392, 7023), List(186, 450), List(5791, 11529), List(3609, 9193), List(6193, 9065), List(2832, 5337), List(6228, 8497), List(590, 2196), List(8535, 9781), List(6510, 8183), List(3110, 4527), List(6654, 10591), List(4288, 7946), List(8948, 10889), List(987, 2771), List(10109, 10921), List(80, 10203), List(2609, 9614), List(6675, 8435), List(1167, 7842), List(2293, 11071), List(2480, 10897), List(481, 7514), List(3282, 5923), List(6520, 8497), List(2879, 8162), List(7700, 8579), List(7925, 11141), List(2683, 4840), List(5277, 9564), List(5826, 6396), List(7, 7631), List(8360, 11069), List(10409, 11563), List(2868, 3839), List(3673, 8962), List(9039, 10603), List(3430, 9204), List(7105, 8369), List(288, 7092), List(3302, 3542), List(10115, 10335), List(339, 7057), List(3334, 6463), List(5443, 7008), List(3397, 3779), List(8304, 9632), List(843, 1837), List(10397, 10398), List(4542, 5560), List(4943, 9287), List(1703, 10050), List(9979, 10824), List(8666, 11152), List(5491, 5894), List(3065, 3198), List(1198, 2186), List(7426, 9484), List(5215, 10914), List(1939, 3352), List(2374, 2526), List(4467, 9708), List(3586, 5529), List(8751, 9920), List(9933, 10829), List(4181, 6870), List(4709, 9241), List(9688, 10244), List(5859, 11366), List(746, 749), List(7964, 8005), List(8970, 11132), List(459, 692), List(2456, 7412), List(3679, 8322), List(5154, 6100), List(2495, 10750), List(6012, 8575), List(5103, 8764), List(8613, 9582), List(4413, 8317), List(681, 2202), List(2331, 3179), List(6868, 10253), List(868, 8444), List(4913, 6388), List(1864, 4467), List(797, 9732), List(4226, 5458), List(7428, 8375), List(678, 6068), List(5275, 10941), List(3848, 10201), List(9944, 10964), List(6210, 11192), List(3249, 4954), List(6084, 6357), List(6700, 8575), List(4282, 9904), List(4743, 10299), List(10, 6319), List(4831, 6736), List(1439, 1443), List(2311, 7788), List(2612, 4518), List(1596, 8974), List(1620, 9368), List(4772, 6506), List(3712, 6526), List(7003, 8734), List(3488, 5320), List(11077, 11580), List(1245, 7212), List(6188, 6306), List(580, 7761), List(6192, 6425), List(3668, 7358), List(1292, 3271), List(8430, 9824), List(1818, 9733), List(6059, 6835), List(5780, 7420), List(4314, 6752), List(135, 4112), List(2288, 11345), List(6992, 8171), List(9134, 11108), List(8481, 9762), List(6681, 9972), List(2775, 8430), List(9717, 10907), List(3099, 10217), List(6848, 6887), List(1146, 3045), List(1834, 6829), List(3093, 10402), List(5541, 10413), List(6322, 10978), List(2458, 3246), List(582, 4400), List(370, 6207), List(5819, 10357), List(1650, 4241), List(2393, 7732), List(3198, 6439), List(2869, 7661), List(3301, 8072), List(1367, 11500), List(8175, 10779), List(1243, 3328), List(644, 8661), List(1172, 4616), List(1118, 7763), List(4352, 8683), List(3091, 9201), List(7948, 9275), List(4038, 10967), List(8386, 8720), List(6858, 10584), List(1298, 9801), List(2130, 6167), List(2161, 5480), List(6015, 6862), List(4888, 5660), List(499, 1490), List(6720, 7617), List(6663, 7083), List(2867, 9843), List(8911, 11170), List(6877, 10984), List(1958, 4370), List(8413, 10893), List(3494, 9941), List(1835, 9632), List(5130, 8576), List(5634, 6389), List(7461, 8002), List(5224, 8211), List(6370, 6457), List(4231, 7201), List(1577, 8061), List(398, 10833), List(6380, 11282), List(981, 6495), List(3379, 7897), List(8148, 11534), List(1513, 7487), List(4457, 5450), List(2440, 7123), List(17, 10360), List(6433, 11293), List(5079, 10866), List(1414, 6727), List(6883, 11529), List(2987, 4259), List(5478, 8104), List(1928, 7887), List(90, 5361), List(7068, 7495), List(1247, 7903), List(4707, 5194), List(120, 7455), List(2486, 3684), List(6652, 11000), List(7894, 10462), List(2600, 3971), List(1398, 11455), List(7119, 10816), List(457, 4192), List(5861, 10097), List(1733, 11152), List(49, 2677), List(3151, 7642), List(2747, 3617), List(1759, 3705), List(358, 9848), List(6802, 8665), List(5620, 7756), List(3343, 7812), List(325, 1040), List(3036, 7103), List(7296, 8419), List(5522, 7598), List(3459, 8926), List(2246, 2288), List(7570, 10873), List(7606, 10530), List(784, 8909), List(3236, 6410), List(1061, 1081), List(1333, 3489), List(684, 5295), List(4512, 11118), List(8029, 8943), List(6933, 7054), List(2048, 5686), List(626, 10952), List(712, 10726), List(6094, 6484), List(2398, 6442), List(6310, 7048), List(1248, 4290), List(7366, 9538), List(1886, 3823), List(21, 9273), List(2260, 6858), List(9166, 9678), List(1501, 4362), List(2975, 9055), List(291, 7821), List(3056, 3567), List(2311, 3413), List(5079, 9256), List(5433, 10508), List(4394, 9153), List(2959, 3634), List(4180, 4471), List(5826, 10210), List(7006, 8040), List(3542, 6843), List(4266, 6874), List(2953, 9454), List(5014, 11463), List(4021, 7043), List(1358, 3680), List(6543, 9447), List(5573, 6731), List(5595, 10462), List(2200, 7904), List(2946, 9414), List(3471, 5098), List(6815, 11074), List(2194, 7335), List(3424, 6006), List(334, 3330), List(711, 3280), List(6426, 7357), List(703, 9054), List(5092, 6808), List(4097, 7977), List(2094, 7104), List(3936, 4087), List(601, 7996), List(5577, 9482), List(258, 4624), List(5665, 8548), List(873, 9623), List(7690, 10900), List(98, 10004), List(1122, 3911), List(8661, 10808), List(523, 2828), List(658, 8880), List(8841, 9463), List(2728, 10251), List(8335, 10823), List(1057, 1981), List(5004, 9970), List(551, 4095), List(4308, 8173), List(1789, 2280), List(3036, 10754), List(1671, 3722), List(8135, 10361), List(1691, 11544), List(2725, 3133), List(4146, 6310), List(2027, 2044), List(2649, 7460), List(6162, 8549), List(1556, 5842), List(10124, 10400), List(11265, 11308), List(525, 11518), List(1836, 8111), List(7166, 10095), List(1218, 9230), List(6197, 10233), List(650, 9712), List(3984, 8584), List(1398, 1469), List(5596, 9077), List(5850, 10125), List(4596, 6896), List(2139, 2635), List(3699, 9354), List(5686, 8970), List(3480, 7738), List(2045, 8635), List(9985, 10214), List(769, 8064), List(7913, 10675), List(5521, 6809), List(8191, 9865), List(2558, 3908), List(1720, 2809), List(5057, 5362), List(1841, 10683), List(5170, 9211), List(1648, 11042), List(4239, 5669), List(5042, 7713), List(3731, 3950), List(5824, 11132), List(497, 8665), List(6593, 10182), List(521, 6807), List(9803, 10708), List(3977, 10772), List(1993, 8421), List(5288, 8119), List(82, 3727), List(5007, 7877), List(5473, 7118), List(7138, 10655), List(5928, 7698), List(298, 5422), List(2717, 6947), List(2040, 10869), List(7986, 9409), List(9033, 9901), List(3408, 7969), List(1125, 11243), List(6085, 8032), List(2969, 4135), List(1651, 10535), List(660, 2778), List(350, 8214), List(2396, 5027), List(5833, 11194), List(10300, 10359), List(5635, 10455), List(5048, 6723), List(879, 4771), List(2049, 4165), List(2804, 9925), List(5230, 6205), List(2033, 3632), List(1990, 6968), List(6757, 10532), List(8343, 9050), List(2240, 11280), List(11290, 11448), List(8399, 10113), List(6023, 6780), List(152, 7825), List(6865, 10250), List(1008, 9503), List(6773, 11415), List(1916, 4925), List(5654, 7822), List(353, 10740), List(7268, 9142), List(2634, 10803), List(1323, 7794), List(2285, 4233), List(5614, 8423), List(3594, 6415), List(5794, 7078), List(2683, 10695), List(5489, 6442), List(5864, 6319), List(9685, 10971), List(6770, 7330), List(2646, 4397), List(9500, 11191), List(7449, 7618), List(3087, 5271), List(2837, 5096), List(337, 5669), List(6405, 11554), List(6004, 11210), List(2325, 8893), List(3259, 9700), List(2577, 2698), List(9824, 9975), List(519, 8534), List(8485, 10580), List(2026, 5039), List(8435, 11217), List(2831, 3746), List(2547, 3987), List(2977, 3571), List(6249, 11391), List(2569, 6220), List(705, 11141), List(10913, 11070), List(3910, 11323), List(6310, 8634), List(23, 8303), List(4849, 8310), List(9223, 11448), List(2538, 10290), List(6834, 11263), List(7364, 8045), List(6483, 10282), List(2992, 7262), List(693, 6593), List(2183, 5403), List(3645, 8581), List(663, 1466), List(8355, 8605), List(5356, 6047), List(3277, 7596), List(1682, 10490), List(942, 10680), List(10276, 10607), List(697, 10095), List(7937, 9785), List(5845, 6211), List(3303, 5030), List(1211, 1456), List(2887, 3654), List(707, 3643), List(7804, 10195), List(3167, 5923), List(7217, 10627), List(4734, 7397), List(3414, 5800), List(3221, 6159), List(237, 11049), List(773, 11029), List(6840, 7644), List(2301, 6159), List(10143, 10613), List(515, 3823), List(1540, 7000), List(5287, 7731), List(6001, 7074), List(1646, 8150), List(7054, 9293), List(3897, 5395), List(7236, 11027), List(7955, 10714), List(453, 6328), List(3280, 3706), List(883, 5912), List(1812, 8627), List(7075, 7137), List(4050, 5610), List(4554, 7587), List(5175, 10149), List(1001, 3689), List(4521, 5195), List(1539, 4496), List(3113, 7915), List(498, 2314), List(7204, 9210), List(4807, 10662), List(7039, 10863), List(1150, 9824), List(6225, 11289), List(5910, 9965), List(9327, 10592), List(5230, 10206), List(9803, 10521), List(467, 9767), List(1238, 9644), List(5541, 7624), List(3850, 4394), List(1270, 7647), List(9668, 10104), List(7529, 10848), List(3642, 7828), List(1426, 5908), List(4153, 5334), List(2630, 4132), List(3168, 11355), List(8643, 10310), List(1324, 1467), List(3588, 10251), List(1048, 5733), List(7928, 11496), List(137, 3597), List(140, 7278), List(3932, 7028), List(317, 8668), List(6172, 7090), List(392, 7499), List(222, 9562), List(470, 2494), List(9930, 10639), List(1907, 8059), List(940, 4860), List(1528, 11446), List(8880, 9849), List(8971, 9967), List(8250, 9453), List(2144, 7248), List(3332, 5693), List(6472, 6978), List(6095, 11192), List(4538, 4744), List(1468, 8362), List(6626, 10828), List(2462, 9220), List(8897, 10203), List(2791, 7998), List(3724, 5170), List(2354, 11380), List(2390, 11037), List(169, 4609), List(2538, 7525), List(2424, 9867), List(7993, 8457), List(2100, 7299), List(5426, 5556), List(5441, 6588), List(1764, 5098), List(4814, 9873), List(879, 6812), List(2372, 11555), List(908, 5298), List(4863, 6732), List(5699, 7004), List(5822, 11541), List(280, 11364), List(1431, 4292), List(6658, 9561), List(6100, 10731), List(2024, 4806), List(7471, 8129), List(5014, 10284), List(6186, 10505), List(3978, 8446), List(210, 7592), List(10956, 11334), List(834, 9671), List(7152, 10069), List(2452, 11110), List(4837, 7389), List(4998, 8246), List(4437, 9899), List(1421, 3954), List(1202, 11006), List(2565, 8543), List(1792, 8593), List(3072, 3621), List(1227, 6340), List(1514, 9780), List(831, 6340), List(4745, 11183), List(4205, 6516), List(1780, 10838), List(2093, 9837), List(8024, 8843), List(4579, 6168), List(8689, 10923), List(3049, 3795), List(6383, 6831), List(1149, 6807), List(3673, 4376), List(3857, 6183), List(405, 9507), List(271, 6309), List(1929, 7147), List(2149, 9365), List(3983, 8739), List(810, 10724), List(1545, 3774), List(10393, 11355), List(3418, 6486), List(2013, 9477), List(5748, 6441), List(3382, 3796), List(2754, 4227), List(569, 3872), List(6364, 7878), List(227, 4108), List(3033, 7025), List(1940, 11069), List(593, 1233), List(131, 7029), List(4551, 6348), List(8097, 9829), List(1101, 10499), List(664, 9744), List(225, 248), List(6885, 10209), List(9835, 11370), List(4143, 8216), List(5559, 8797), List(8210, 9891), List(6099, 6267), List(5008, 11138), List(4471, 7523), List(2924, 5173), List(7836, 11370), List(3409, 4464), List(6870, 11025), List(184, 597), List(3093, 5921), List(4560, 9443), List(6547, 9059), List(1817, 4596), List(9380, 9635), List(7515, 9450), List(5832, 10245), List(1811, 11197), List(8574, 11457), List(5955, 8366), List(6170, 10240), List(5368, 8798), List(692, 10987), List(10031, 11258), List(9091, 9882), List(5514, 5590), List(6479, 7962), List(1801, 3689), List(1551, 9930), List(2986, 4869), List(5759, 11056), List(3514, 11404), List(718, 9175), List(9090, 10411), List(654, 5218), List(2206, 4906), List(2142, 9617), List(523, 6455), List(3981, 7083), List(4781, 7698), List(4663, 6888), List(155, 552), List(3684, 5584), List(7747, 11247), List(4688, 7884), List(5247, 9568), List(10504, 10515), List(84, 5223), List(5390, 9095), List(3194, 8551), List(3774, 4696), List(1407, 8996), List(8561, 8912), List(4669, 5548), List(6200, 11529), List(8096, 11027), List(3245, 8489), List(4165, 11118), List(2090, 2987), List(10080, 10345), List(178, 10900), List(2239, 2329), List(4288, 9239), List(492, 6337), List(8642, 8692), List(8764, 9621), List(4662, 8891), List(2609, 10907), List(3786, 11472), List(4413, 11570), List(4745, 7613), List(2601, 3849), List(4800, 8074), List(5018, 9465), List(6738, 11181), List(3257, 8849), List(2847, 10671), List(2061, 3346), List(2348, 6786), List(2654, 3860), List(4639, 9819), List(1898, 5045), List(5413, 6207), List(2338, 5317), List(3528, 3835), List(1743, 11523), List(5222, 6612), List(965, 4059), List(96, 1395), List(5605, 9760), List(491, 8340), List(1929, 6960), List(2574, 8418), List(3887, 11473), List(3476, 10441), List(2822, 11149), List(9382, 11080), List(5435, 8009), List(2097, 7483), List(6216, 7820), List(1724, 2771), List(3349, 7633), List(2, 1359), List(8136, 9597), List(3440, 10380), List(3402, 7644), List(3842, 7916), List(4329, 8034), List(3362, 4081), List(2551, 5559), List(1465, 4358), List(775, 3911), List(8237, 8898), List(4073, 7290), List(1268, 7227), List(3226, 8357), List(1242, 6006), List(4253, 5945), List(5407, 11222), List(525, 7119), List(2915, 3742), List(5556, 8312), List(5432, 5802), List(4389, 8435), List(10039, 11363), List(2756, 9347), List(5490, 9944), List(2761, 3275), List(8674, 11501), List(1071, 7063), List(8085, 11106), List(6492, 9165), List(1759, 5185), List(5924, 9647), List(2249, 4066), List(8663, 11342), List(5528, 9647), List(5029, 5762), List(9036, 9638), List(8470, 10947), List(3845, 4026), List(8230, 11460), List(156, 1021), List(948, 11544), List(351, 7124), List(3405, 7891), List(7887, 8088), List(5738, 10396), List(1816, 1905), List(6127, 10356), List(313, 7771), List(715, 3055), List(1339, 5134), List(4288, 9857), List(1390, 8105), List(2740, 4626), List(854, 11508), List(1050, 1998), List(4101, 10381), List(1297, 2629), List(3506, 6788), List(1632, 11021), List(5092, 6060), List(295, 6791), List(4064, 9001), List(3493, 5802), List(1909, 6576), List(6601, 8303), List(1664, 10909), List(100, 8952), List(1989, 5781), List(9029, 11045), List(1800, 2095), List(86, 7741), List(4657, 11393), List(4698, 7230), List(4223, 8657), List(2490, 10089), List(10329, 10862), List(1358, 8543), List(5845, 9838), List(8277, 10070), List(669, 4534), List(739, 6027), List(479, 4410), List(3496, 5295), List(6303, 11066), List(2631, 5756), List(6669, 8945), List(5117, 6251), List(3150, 8041), List(3930, 4217), List(2655, 7281), List(779, 8435), List(4079, 7723), List(5794, 9095), List(6909, 8782), List(2795, 6537), List(5425, 6754), List(27, 3323), List(4591, 5804), List(6686, 9649), List(3104, 4259), List(3298, 7508), List(7563, 9922), List(3446, 8160), List(297, 10539), List(1973, 6321), List(4099, 9479), List(11, 8455), List(4056, 5645), List(3063, 7641), List(1573, 2415), List(8083, 9399), List(5994, 9506), List(9416, 9723), List(1974, 6142), List(9658, 10010), List(4892, 9300), List(1188, 5987), List(4308, 10003), List(6020, 7694), List(1696, 3919), List(2335, 7060), List(3615, 8504), List(5977, 7243), List(3551, 4547), List(8745, 9676), List(5192, 9942), List(2559, 9397), List(3860, 6056), List(1936, 10172), List(5609, 8510), List(4351, 8545), List(1672, 5403), List(2606, 8462), List(4070, 6051), List(1952, 7672), List(188, 9791), List(2821, 3920), List(7337, 10117), List(482, 9514), List(606, 1444), List(6130, 10841), List(492, 4540), List(830, 10197), List(835, 4125), List(10281, 11463), List(7516, 8547), List(4940, 9290), List(6430, 8100), List(7020, 11349), List(5143, 8895), List(5055, 6796), List(6077, 10456), List(7640, 8024), List(2036, 6969), List(2810, 5609), List(1853, 7262), List(3181, 7996), List(2529, 3869), List(9337, 9564), List(6381, 10086), List(1739, 5470), List(1040, 1497), List(7848, 11356), List(3797, 7181), List(2117, 8247), List(2829, 10173), List(2987, 11513), List(3202, 9223), List(762, 8349), List(8642, 9123), List(9607, 11495), List(5901, 6601), List(140, 5562), List(3787, 9095), List(1667, 7637), List(7952, 11305), List(3100, 5913), List(4655, 11534), List(7666, 11473), List(2717, 5394), List(411, 6964), List(8043, 10642), List(2687, 6683), List(4211, 5077), List(3462, 9685), List(2367, 10650), List(6596, 11155), List(9273, 11218), List(1649, 8155), List(8115, 8451), List(873, 2272), List(2117, 4059), List(6132, 9708), List(1488, 10681), List(8494, 10699), List(1309, 2802), List(490, 5917), List(3728, 4327), List(7905, 10304), List(6602, 11320), List(4909, 5765), List(4783, 6592), List(738, 2986), List(3633, 10856), List(7182, 10848), List(6922, 9231), List(1046, 4270), List(1080, 9516), List(1314, 5024), List(887, 2705), List(135, 7796), List(3939, 9061), List(3429, 9521), List(918, 8407), List(536, 5107), List(1776, 10158), List(1808, 8161), List(288, 4978), List(783, 9121), List(6755, 8128), List(4048, 9354), List(6058, 6510), List(149, 11235), List(1214, 5143), List(1551, 7946), List(1339, 9753), List(6523, 7778), List(8766, 11521), List(1545, 3213), List(1144, 2869), List(1755, 4743), List(4752, 6474), List(731, 1010), List(3540, 7608), List(8982, 9833), List(104, 4295), List(1048, 5790), List(1284, 2125), List(7238, 11106), List(3409, 11474), List(6453, 6635), List(9259, 9552), List(4297, 11155), List(6568, 10530), List(931, 7083), List(4487, 8246), List(7250, 10335), List(1951, 7664), List(3231, 4944), List(8559, 11019), List(2520, 3620), List(814, 9881), List(2801, 9497), List(8052, 8744), List(1584, 9533), List(1429, 5458), List(1119, 6730), List(1114, 6386), List(2196, 10097), List(6769, 10412), List(8214, 10203), List(1822, 5160), List(3281, 4657), List(2128, 8650), List(4337, 7147), List(10226, 10815), List(4878, 7471), List(9073, 9146), List(4245, 7558), List(7015, 10818), List(1720, 10518), List(6663, 9612), List(8756, 10378), List(5886, 9920), List(576, 9312), List(836, 10205), List(8623, 10788), List(2183, 3045), List(5546, 6065), List(2174, 5211), List(4395, 5223), List(10864, 11452), List(7309, 10891), List(6252, 11182), List(1453, 1664), List(3297, 5890), List(520, 8629), List(10769, 11565), List(6583, 7000), List(4380, 6039), List(2606, 7470), List(7709, 10983), List(4001, 9426), List(78, 10913), List(5957, 7477), List(4721, 9715), List(10187, 10836), List(3416, 9904), List(1565, 3009), List(4550, 7389), List(8142, 11215), List(1752, 9251), List(1747, 8907), List(1972, 11469), List(1072, 9492), List(5590, 9346), List(5182, 7831), List(1593, 8440), List(2568, 11500), List(8170, 9476), List(1589, 4534), List(348, 6428), List(2149, 9072), List(1865, 9313), List(1335, 6869), List(194, 5961), List(9781, 10498), List(1586, 4236), List(7041, 11584), List(6323, 9089), List(2116, 10063), List(5290, 10932), List(4142, 9607), List(4003, 6065), List(3612, 6409), List(9558, 10611), List(1836, 4761), List(699, 2871), List(2481, 7717), List(673, 1650), List(868, 1337), List(5742, 11214), List(3944, 5835), List(6769, 8802), List(3293, 10978), List(2292, 2533), List(3042, 7195), List(3033, 10115), List(3064, 5264), List(3161, 8580), List(6018, 7298), List(9803, 10041), List(4056, 6426), List(2375, 4638), List(5270, 6092), List(3143, 9879), List(3800, 7934), List(464, 2573), List(2021, 2605), List(3149, 6661), List(1859, 2277), List(2392, 4992), List(2020, 3134), List(2701, 5747), List(1710, 2154), List(5435, 7098), List(3418, 8771), List(5376, 9901), List(2257, 2323), List(2628, 11126), List(4842, 9213), List(2509, 2544), List(7076, 8706), List(2969, 3468), List(7120, 8978), List(575, 10109), List(2507, 2848), List(2658, 9433), List(662, 5567), List(7611, 9215), List(3158, 7504), List(2660, 9479), List(1120, 10582), List(1159, 9756), List(6471, 10410), List(5033, 5374), List(7847, 8152), List(8473, 11058), List(746, 4864), List(4264, 5543), List(2387, 3843), List(4981, 8567), List(4327, 10029), List(8093, 8558), List(8704, 10432), List(299, 388), List(2146, 10547), List(6396, 11175), List(7647, 8471), List(8894, 9775), List(4443, 4727), List(1920, 8514), List(5908, 11586), List(2099, 3561), List(9411, 11233), List(9349, 10355), List(5835, 10549), List(5709, 7212), List(769, 6137), List(7142, 9652), List(7166, 10046), List(2536, 7699), List(550, 10937), List(7355, 10699), List(4246, 4563), List(734, 7082), List(3468, 7679), List(1314, 3227), List(825, 6446), List(3089, 4650), List(4615, 5369), List(2748, 4357), List(4804, 6022), List(6199, 7978), List(7446, 10036), List(631, 2416), List(495, 9725), List(3862, 10989), List(5610, 8337), List(10713, 11096), List(2459, 7637), List(3551, 9784), List(177, 8103), List(6061, 11427), List(5753, 7110), List(5814, 8517), List(6438, 10596), List(1944, 2468), List(4094, 9430), List(9133, 11238), List(4804, 11283), List(9167, 10068), List(574, 4891), List(3524, 6806), List(6485, 6628), List(1128, 5450), List(1974, 10574), List(11029, 11086), List(1535, 7494), List(5881, 8584), List(5413, 6264), List(3556, 5940), List(1643, 4583), List(2367, 3860), List(4851, 10698), List(3426, 10031), List(2428, 5267), List(2, 2571), List(1621, 3481), List(1156, 7848), List(1553, 11456), List(5450, 8748), List(3139, 9974), List(7626, 11269), List(1773, 7258), List(2109, 5672), List(43, 1067), List(9297, 9336), List(2289, 4327), List(3032, 8572), List(7149, 8082), List(7426, 10834), List(1067, 4019), List(3596, 4184), List(6235, 7927), List(6701, 7168), List(5023, 9061), List(7108, 11464), List(10500, 11472), List(1097, 9496), List(1622, 5934), List(92, 3561), List(6547, 10084), List(5205, 5510), List(4517, 10771), List(5033, 9375), List(3324, 11201), List(585, 3844), List(2852, 5729), List(5780, 9575), List(1919, 5524), List(6714, 11136), List(984, 4492), List(1104, 9512), List(4434, 10894), List(7832, 11471), List(7450, 10423), List(6044, 8308), List(1964, 11309), List(1974, 5581), List(7108, 10659), List(4078, 6536), List(228, 6027), List(1405, 6592), List(2895, 5402), List(3485, 8651), List(3715, 11557), List(279, 2582), List(1770, 4246), List(5159, 6989), List(2397, 10760), List(4823, 7040), List(212, 3989), List(7686, 10491), List(5532, 6039), List(1340, 8799), List(9886, 11154), List(304, 6961), List(3948, 4561), List(4789, 5177), List(3658, 6485), List(4152, 7774), List(2849, 8790), List(256, 504), List(8385, 10650), List(2093, 3559), List(4434, 10089), List(1132, 9974), List(798, 4436), List(2009, 10247), List(228, 8255), List(6205, 8360), List(2246, 9436), List(8655, 9198), List(4639, 10494), List(2156, 10674), List(2779, 3483), List(4931, 7862), List(10521, 10739), List(321, 7665), List(4268, 11490), List(846, 4103), List(510, 4154), List(7596, 9793), List(8401, 8500), List(2894, 4345), List(6361, 8499), List(1519, 3041), List(7768, 7806), List(7277, 7946), List(2203, 3673), List(3132, 6388), List(10193, 10277), List(83, 4467), List(4871, 6656), List(6639, 6908), List(6427, 8715), List(9512, 11047), List(3996, 5675), List(5701, 6359), List(2401, 2907), List(267, 3995), List(6387, 10070), List(1694, 1702), List(6394, 10460), List(4861, 7816), List(7134, 8018), List(369, 515), List(3918, 6923), List(3305, 8386), List(9807, 11345), List(523, 4365), List(906, 9765), List(4538, 5850), List(5909, 9664), List(6012, 10543), List(4039, 8381), List(1702, 4976), List(1650, 4786), List(7534, 8110), List(1242, 6681), List(3534, 6933), List(1305, 11167), List(4698, 6482), List(5128, 6066), List(2516, 10562), List(427, 10669), List(4653, 6739), List(2817, 7292), List(279, 4355), List(4620, 5101), List(5991, 8161), List(798, 2476), List(9667, 10180), List(5627, 11082), List(4156, 10070), List(1236, 6085), List(4462, 7144), List(195, 3903), List(819, 6736), List(4396, 8776), List(2434, 4494), List(9280, 10673), List(8934, 10036), List(5592, 11246), List(5274, 6241), List(1723, 2416), List(6950, 7685), List(3312, 7621), List(1404, 10772), List(6973, 8608), List(3745, 4470), List(837, 1276), List(7, 11372), List(3481, 6117), List(8240, 9066), List(2708, 9577), List(5731, 11031), List(1059, 9956), List(397, 977), List(627, 10299), List(4615, 6955), List(992, 2318), List(3519, 5820), List(1953, 7954), List(10053, 10192), List(4727, 11333), List(1914, 4993), List(4007, 5759), List(4308, 8905), List(5094, 9814), List(9541, 10956), List(1418, 11178), List(8846, 10165), List(5210, 10928), List(831, 7446), List(5707, 10980), List(5, 722), List(7485, 10422), List(2519, 8900), List(5201, 10061), List(717, 2621), List(664, 8622), List(1316, 7087), List(437, 2981), List(3014, 5846), List(402, 4680), List(3289, 8525), List(6807, 9204), List(2493, 11035), List(678, 9459), List(900, 8340), List(4320, 6232), List(777, 9438), List(6563, 9975), List(5092, 8963), List(2783, 6852), List(2659, 5096), List(8168, 9297), List(4996, 5468), List(2506, 7483), List(6833, 8523), List(6107, 7665), List(6485, 7059), List(3809, 9850), List(1096, 1462), List(5553, 9708), List(3808, 10379), List(4608, 7988), List(1220, 8853), List(848, 6995), List(965, 1164), List(4726, 5765), List(2062, 10825), List(4887, 10786), List(6938, 7943), List(2112, 3772), List(121, 10049), List(1494, 8274), List(1212, 9342), List(3579, 10677), List(1462, 8736), List(4007, 7182), List(1454, 2459), List(8703, 11280), List(949, 1011), List(5181, 6695), List(5745, 9477), List(8828, 10228), List(6498, 7240), List(3815, 7362), List(4462, 4729), List(7848, 9453), List(1134, 3393), List(2679, 8326), List(4771, 5484), List(2933, 2958), List(1935, 4610), List(815, 4579), List(4995, 10827), List(1695, 11539), List(9375, 10747), List(1777, 6653), List(5082, 7039), List(1248, 7063), List(1358, 4225), List(4966, 8584), List(2515, 7521), List(3389, 4113), List(780, 8126), List(3843, 7501), List(700, 5164), List(3069, 8080), List(1670, 2218), List(3437, 6032), List(1229, 8891), List(4723, 11428), List(4835, 5253), List(10103, 10523), List(1946, 7751), List(10908, 11482), List(2719, 6920), List(6022, 9889), List(3894, 4406), List(6010, 6122), List(7324, 9402), List(2501, 8912), List(724, 4410), List(1589, 9584), List(1711, 10513), List(3919, 9539), List(674, 3542), List(7817, 9685), List(1993, 10576), List(3700, 3759), List(2486, 8230), List(3611, 8605), List(6849, 7015), List(4196, 5094), List(2883, 4668), List(7457, 7837), List(4506, 8703), List(1887, 6366), List(2016, 2050), List(2969, 9323), List(7415, 8365), List(173, 5596), List(6458, 10018), List(551, 11406), List(3999, 10592), List(4176, 8949), List(3708, 6629), List(7701, 10799), List(757, 5997), List(962, 2265), List(6943, 8905), List(2557, 9170), List(1800, 2583), List(8814, 10790), List(8864, 10153), List(906, 7968), List(459, 863), List(1053, 11401), List(3637, 9021), List(917, 5124), List(7830, 9115), List(1354, 5879), List(1973, 7614), List(10269, 10518), List(2573, 11551), List(2163, 6957), List(984, 9729), List(1297, 8728), List(6059, 11194), List(8674, 10379), List(2523, 8431), List(2882, 10027), List(296, 9328), List(1222, 6110), List(2789, 6830), List(4563, 5399), List(2309, 3749), List(3926, 11002), List(1538, 1620), List(5896, 6477), List(3399, 11485), List(9748, 11196), List(694, 7122), List(5699, 9346), List(1841, 11228), List(2519, 7908), List(6827, 6986), List(4728, 6405), List(2907, 7990), List(5388, 8895), List(7000, 8634), List(9302, 9574), List(7151, 8803), List(934, 9211), List(3702, 9392), List(527, 8298), List(331, 4976), List(6215, 8300), List(1922, 3838), List(9110, 9754), List(5958, 6200), List(2697, 10223), List(3062, 8658), List(5240, 7088), List(1699, 4705), List(720, 4155), List(8536, 9640), List(1282, 5356), List(6361, 8475), List(4742, 6811), List(1526, 5716), List(8876, 9708), List(4979, 6000), List(435, 4925), List(2613, 3355), List(1993, 7811), List(4049, 5312), List(3216, 5311), List(1777, 6466), List(407, 6260), List(4224, 7006), List(1889, 10090), List(2585, 8073), List(5788, 8182), List(1980, 3011), List(6059, 6201), List(3277, 8596), List(2514, 6328), List(14, 5403), List(4520, 10158), List(2722, 7031), List(1264, 11142), List(509, 5382), List(30, 9319), List(2533, 7509), List(3715, 8418), List(5764, 9666), List(845, 2298), List(3988, 10270), List(4580, 7930), List(3905, 8515), List(3800, 10219), List(2551, 8088), List(723, 6250), List(1590, 5835), List(1831, 8930), List(3212, 7016), List(34, 8657), List(10020, 10459), List(8908, 11043), List(5622, 9209), List(8376, 11182), List(3261, 6908), List(4226, 9280), List(4296, 8521), List(9790, 10936), List(4726, 7351), List(3136, 4927), List(9488, 10571), List(1357, 6014), List(2475, 9382), List(1456, 10157), List(2326, 2843), List(3320, 10871), List(2040, 6421), List(4829, 7479), List(948, 7657), List(788, 10408), List(1853, 3562), List(7758, 7763), List(6913, 10411), List(2938, 10954), List(2372, 8099), List(7508, 7588), List(4428, 9764), List(1372, 6672), List(7700, 7758), List(2399, 10676), List(6566, 9549), List(3514, 3947), List(2681, 3192), List(1774, 10624), List(7412, 10509), List(6949, 9287), List(6951, 10114), List(2115, 4501), List(4299, 4631), List(2021, 4085), List(3118, 6576), List(1731, 4511), List(4485, 7238), List(304, 9433), List(6027, 6238), List(7222, 11516), List(3767, 10405), List(3891, 6499), List(4660, 11211), List(393, 2308), List(6031, 6357), List(3321, 3902), List(9829, 10059), List(2355, 3557), List(4933, 7778), List(7584, 8872), List(7362, 9991), List(230, 7390), List(1321, 6683), List(693, 2950), List(5830, 10955), List(8913, 10208), List(4274, 11525), List(1062, 1504), List(4800, 11571), List(103, 2330), List(3432, 7274), List(3189, 7516), List(4175, 5103), List(7726, 8174), List(2709, 4435), List(6296, 7163), List(2712, 8116), List(4238, 8835), List(2185, 8599), List(0, 4834), List(3554, 11586), List(9841, 10419), List(2709, 7818), List(4147, 6438), List(1652, 5103), List(3923, 4478), List(4258, 7208), List(2329, 10980), List(734, 8212), List(4634, 9185), List(59, 2381), List(3111, 7983), List(5809, 9677), List(5936, 8698), List(5313, 9473), List(2940, 5657), List(3136, 3317), List(8292, 9874), List(3249, 7166), List(7335, 11527), List(5088, 10294), List(2320, 3697), List(1379, 5883), List(7450, 11285), List(4145, 5237), List(3840, 4601), List(8788, 10455), List(7796, 8889), List(1812, 8367), List(4300, 5525), List(1559, 7921), List(6851, 7169), List(3248, 3908), List(4493, 9303), List(1902, 8260), List(7287, 10705), List(1989, 10888), List(399, 7710), List(682, 7998), List(2824, 10935), List(5697, 8658), List(10707, 11226), List(5695, 7831), List(8393, 9525), List(1141, 6068), List(2794, 8814), List(1152, 9610), List(8929, 9505), List(5409, 5747), List(4251, 5232), List(207, 7890), List(2607, 10119), List(2380, 6730), List(4133, 10838), List(9360, 9691), List(7680, 10003), List(3786, 9976), List(768, 9620), List(3385, 9632), List(10713, 11421), List(200, 10102), List(792, 1346), List(2495, 7619), List(2371, 5863), List(3525, 11140), List(316, 4800), List(7640, 8325), List(4025, 9211), List(1881, 9611), List(7822, 9305), List(9030, 9183), List(9095, 10332), List(6504, 9289), List(1975, 9246), List(664, 5483), List(8071, 10763), List(4666, 6763), List(1219, 4015), List(5826, 9576), List(8271, 10070), List(2120, 2430), List(380, 2691), List(5748, 7441), List(612, 7952), List(2676, 10232), List(1962, 4473), List(744, 1655), List(6528, 7781), List(609, 7654), List(2298, 7805), List(2477, 5858), List(3105, 3175), List(5195, 5922), List(1831, 9093), List(7665, 8166), List(3470, 7245), List(4088, 9509), List(5837, 9711), List(2401, 7152), List(1651, 5900), List(2117, 7393), List(1035, 7065), List(6472, 8946), List(3664, 3704), List(4267, 4906), List(674, 8779), List(5526, 7755), List(3478, 10115), List(3388, 4937), List(1761, 9047), List(6891, 10219), List(10096, 11155), List(755, 10057), List(5278, 10255), List(4683, 6662), List(414, 9764), List(6271, 9013), List(7757, 10333), List(4995, 7688), List(1103, 10740), List(3056, 4356), List(969, 1126), List(4709, 11266), List(2588, 2790), List(3341, 7723), List(1470, 9221), List(1840, 8000), List(4204, 9818), List(2179, 7466), List(4300, 9526), List(3989, 5692), List(3576, 3833), List(6731, 6904), List(431, 1450), List(525, 7501), List(4243, 8992), List(1177, 8595), List(4356, 9808), List(8449, 10452), List(148, 4895), List(6302, 6390), List(8019, 8589), List(1764, 6261), List(943, 8549), List(5120, 8864), List(1637, 3453), List(1778, 9350), List(9715, 10658), List(9873, 11244), List(4026, 7021), List(9124, 9436), List(2281, 4686), List(7012, 7839), List(9464, 10258), List(495, 4602), List(4703, 10646), List(3584, 7053), List(6748, 9486), List(7622, 10242), List(182, 9740), List(4850, 6909), List(3604, 10711), List(467, 5937), List(1184, 8961), List(9525, 10130), List(1425, 5640), List(1151, 6569), List(3603, 4070), List(1649, 10229), List(3846, 7211), List(2910, 3325), List(1268, 10537), List(5093, 6263), List(7584, 10108), List(958, 9557), List(8169, 10761), List(1955, 10686), List(8176, 11151), List(3713, 11004), List(855, 5645), List(7197, 10601), List(908, 2273), List(1281, 1323), List(5986, 7419), List(4234, 6919), List(3021, 3691), List(1026, 9849), List(1205, 5650), List(2273, 9655), List(3487, 8567), List(4268, 9132), List(1835, 9429), List(773, 8622), List(7707, 11238), List(1060, 5646), List(962, 9275), List(1306, 2669), List(5130, 5340), List(2695, 11226), List(2669, 5841), List(2791, 4518), List(2818, 9347), List(1292, 1458), List(7016, 9785), List(2004, 6390), List(7609, 11053), List(207, 10281), List(8820, 10448), List(1853, 9604), List(4238, 5883), List(353, 3690), List(1564, 9501), List(692, 3156), List(4493, 10539), List(9777, 9926), List(3208, 5745), List(2425, 5107), List(3870, 4898), List(2708, 4641), List(1278, 6636), List(901, 10096), List(2740, 9814), List(1532, 7684), List(2208, 9953), List(4515, 8985), List(4575, 9790), List(7221, 10540), List(10543, 11307), List(239, 2248), List(1928, 4651), List(5849, 6501), List(5505, 6691), List(3980, 11078), List(1731, 7520), List(2233, 8670), List(519, 1484), List(5434, 11362), List(3197, 11571), List(1014, 1463), List(2466, 3953), List(2500, 9199), List(6647, 10803), List(5081, 6521), List(3023, 8193), List(2589, 5457), List(5512, 8959), List(7100, 9058), List(2815, 10873), List(4357, 9873), List(6452, 7302), List(6442, 6614), List(6884, 6959), List(2025, 6812), List(7286, 10911), List(1302, 3973), List(3337, 7013), List(1019, 7068), List(4257, 9642), List(4135, 8713), List(7629, 11250), List(3423, 9416), List(2272, 3656), List(4125, 7244), List(3796, 8466), List(1477, 5667), List(546, 1371), List(5158, 8030), List(1507, 7007), List(47, 1623), List(544, 8845), List(6669, 11100), List(3396, 7219), List(503, 11473), List(4204, 5443), List(6392, 9479), List(3279, 9263), List(10464, 11498), List(717, 9712), List(2654, 9211), List(622, 6442), List(3361, 7383), List(2671, 6936), List(7412, 8525), List(94, 7454), List(3660, 10833), List(19, 11252), List(7066, 11271), List(5153, 9914), List(7463, 8463), List(672, 3122), List(5677, 9510), List(1074, 10484), List(2657, 6075), List(5375, 8391), List(1848, 9878), List(7598, 10758), List(5547, 7185), List(1140, 8071), List(3114, 3318), List(4773, 7010), List(635, 6623), List(5912, 11255), List(9186, 9322), List(5268, 11153), List(1656, 10058), List(4987, 8659), List(1305, 9077), List(123, 1752), List(2270, 5033), List(1931, 5567), List(8180, 10332), List(5126, 7313), List(6930, 7976), List(8020, 9296), List(4811, 5208), List(241, 9328), List(2171, 8410), List(7496, 10050), List(2813, 5433), List(3229, 4557), List(3659, 4141), List(1847, 9252), List(5902, 7884), List(8162, 8598), List(7301, 9959), List(5804, 9978), List(4111, 10839), List(595, 9452), List(590, 9108), List(6911, 9023), List(5605, 9768), List(4121, 8494), List(3457, 9268), List(6848, 7920), List(4926, 7201), List(1502, 5403), List(1808, 8893), List(4516, 9023), List(92, 1634), List(594, 6948), List(10296, 11243), List(4503, 7283), List(2887, 10054), List(4191, 5476), List(3697, 9105), List(6037, 6365), List(3382, 10033), List(5692, 8582), List(5004, 8962), List(1162, 4961), List(544, 6080), List(4974, 6087), List(2174, 11286), List(7360, 9384), List(550, 2862), List(1324, 2256), List(1103, 6983), List(763, 7292), List(2535, 5034), List(1248, 6583), List(3892, 4254), List(4335, 8207), List(1677, 5942), List(4633, 5420), List(7972, 11052), List(592, 8349), List(1896, 10187), List(440, 8709), List(2575, 10475), List(1362, 3837), List(3884, 6995), List(5513, 9347), List(2552, 8771), List(3512, 11553), List(6879, 9811), List(1149, 6173), List(2855, 9711), List(2972, 11050), List(2977, 11394), List(3564, 8710), List(482, 10059), List(9663, 9744), List(5838, 7602), List(1850, 3776), List(4152, 8880), List(545, 8129), List(5930, 10574), List(3378, 8705), List(4684, 5708), List(396, 8006), List(4928, 8320), List(164, 2021), List(3801, 11282), List(5793, 11242), List(6575, 8245), List(5238, 9677), List(2588, 8027), List(1184, 8237), List(1691, 9731), List(7623, 9339), List(6910, 7188), List(2524, 7453), List(2729, 3721), List(1309, 10568), List(4669, 9907), List(593, 3982), List(9397, 11291), List(4951, 6587), List(82, 5752), List(2143, 7761), List(2081, 6883), List(923, 6368), List(2206, 11493), List(5162, 6807), List(2360, 11179), List(2071, 4660), List(5314, 8332), List(5157, 9846), List(1136, 4382), List(1194, 1354), List(1287, 1545), List(8289, 11243), List(5555, 7640), List(882, 3711), List(104, 3417), List(4742, 8291), List(1445, 8520), List(5583, 8907), List(1618, 10168), List(3156, 5986), List(752, 7021), List(255, 553), List(7748, 10515), List(1340, 7945), List(1190, 10630), List(1971, 11195), List(6790, 8533), List(3803, 7490), List(8027, 9149), List(1936, 5724), List(8560, 9612), List(463, 3885), List(3241, 11170), List(3660, 9841), List(3598, 8963), List(1764, 3927), List(8272, 9330), List(242, 5579), List(7988, 10325), List(5211, 5894), List(7795, 9930), List(6344, 10294), List(8049, 10978), List(7077, 7435), List(4568, 9400), List(3801, 6289), List(1386, 7135), List(6138, 8913), List(3285, 4652), List(1198, 1422), List(3028, 8968), List(595, 9265), List(4239, 9117), List(6887, 8442), List(6161, 7584), List(9306, 9967), List(7790, 9936), List(933, 9260), List(463, 6113), List(2424, 10924), List(6717, 8970), List(163, 6575), List(5756, 6717), List(5623, 7127), List(2517, 4672), List(4912, 5803), List(5779, 7640), List(4349, 6629), List(7422, 7446), List(766, 10436), List(329, 4019), List(7330, 7857), List(4716, 5110), List(6529, 10023), List(87, 7869), List(3447, 11372), List(390, 5426), List(8074, 8540), List(1637, 6730), List(1270, 5216), List(881, 1499), List(2997, 3215), List(3124, 5242), List(1417, 5643), List(5794, 8298), List(473, 7531), List(7635, 11472), List(4633, 5233), List(1334, 8799), List(317, 6237), List(4794, 6090), List(5444, 7138), List(965, 6458), List(1643, 3892), List(4798, 6963), List(5975, 7528), List(7034, 7283), List(1855, 4714), List(4105, 5464), List(3723, 9334), List(614, 2444), List(3043, 9575), List(6558, 10737), List(460, 8393), List(2327, 7153), List(3980, 9899), List(9969, 10795), List(9907, 9917), List(6371, 7878), List(9005, 11277), List(4125, 10253), List(321, 1818), List(6924, 11245), List(859, 9795), List(7268, 9557), List(9499, 11031), List(3032, 4848), List(974, 10684), List(2779, 4402), List(2366, 8959), List(7436, 9326), List(1966, 11469), List(4609, 6286), List(510, 11489), List(4698, 11239), List(2364, 5099), List(6663, 10507), List(3758, 7584), List(2359, 8138), List(4933, 5070), List(9058, 10857), List(5524, 11173), List(8084, 10651), List(708, 5438), List(2604, 4936), List(1076, 9806), List(3414, 10403), List(4197, 7631), List(6051, 7657), List(1947, 10264), List(5801, 6728), List(7877, 9799), List(2099, 6871), List(6858, 9820), List(786, 7199), List(161, 7147), List(3896, 6363), List(2027, 8688), List(5322, 7632), List(5788, 9125), List(4579, 6770), List(954, 1306), List(7722, 8326), List(2555, 8026), List(6820, 9686), List(7037, 8223), List(7317, 10492), List(1304, 2816), List(5820, 8259), List(1667, 6840), List(6154, 7381), List(2394, 10552), List(4314, 10444), List(7518, 7772), List(8025, 9266), List(9644, 10930), List(4229, 5610), List(2450, 6697), List(951, 10053), List(9612, 11392), List(757, 1142), List(8472, 9204), List(4746, 11205), List(2252, 7062), List(1748, 5085), List(1125, 5860), List(7293, 8943), List(7759, 10436), List(2149, 8812), List(181, 578), List(1061, 7538), List(3668, 6862), List(1402, 1415), List(8440, 10016), List(4013, 9526), List(4856, 10969), List(1264, 1481), List(3726, 3834), List(3602, 8494), List(2756, 6753), List(6122, 7792), List(3381, 9434), List(606, 2420), List(5562, 5883), List(698, 5392), List(3752, 5405), List(7633, 10862), List(5026, 9286), List(6801, 10709), List(1127, 4751), List(5180, 6720), List(5553, 11432), List(5698, 8403), List(533, 4012), List(2556, 5537), List(7824, 10807), List(5978, 10672), List(1125, 1672), List(10840, 11090), List(3369, 8269), List(571, 10131), List(1722, 9475), List(880, 10886), List(1742, 5963), List(3172, 4722), List(959, 9489), List(2547, 4670), List(8131, 8456), List(7909, 9575), List(4671, 4749), List(10510, 10582), List(5940, 8286), List(5537, 7115), List(81, 5958), List(5127, 8937), List(5899, 8635), List(3807, 4307), List(8352, 8990), List(2383, 7248), List(1913, 4855), List(2969, 6591), List(168, 8936), List(1314, 3772), List(8900, 10515), List(3836, 6930), List(7103, 10242), List(347, 3202), List(6011, 9226), List(1553, 3007), List(6912, 9893), List(1957, 7032), List(1315, 3593), List(8154, 9355), List(4421, 10185), List(1678, 11000), List(367, 1575), List(5316, 10283), List(762, 8520), List(5340, 9179), List(6623, 10140), List(2079, 9065), List(458, 10738), List(5692, 6598), List(2103, 7207), List(1009, 1981), List(7054, 10326), List(3183, 7839), List(7047, 9155), List(3091, 8250), List(2375, 8834), List(6394, 7809), List(4078, 8691), List(1188, 4548), List(4147, 9959), List(1002, 1160), List(7716, 11357), List(10276, 10835), List(276, 10101), List(966, 9050), List(8059, 10942), List(318, 7294), List(2238, 5688), List(1300, 5139), List(983, 2988), List(236, 8423), List(3816, 9980), List(1646, 4995), List(4616, 8343), List(6121, 8185), List(6329, 8888), List(6867, 9695), List(2465, 10955), List(3965, 10453), List(4806, 11069), List(4269, 10864), List(2037, 5001), List(1068, 5139), List(216, 5862), List(2000, 5119), List(2308, 3020), List(6353, 7380), List(8935, 10589), List(2235, 8399), List(1307, 10790), List(4607, 7826), List(8872, 10240), List(7189, 11035), List(126, 10483), List(5158, 11120), List(7455, 8710), List(4760, 8041), List(3036, 8835), List(2320, 6413), List(1616, 2096), List(3479, 6372), List(8295, 9855), List(796, 5740), List(6334, 8427), List(6795, 9576), List(1578, 9159), List(2474, 7230), List(5172, 8924), List(1438, 6146), List(8017, 11015), List(2463, 2907), List(8746, 10666), List(5050, 10624), List(4520, 7426), List(1311, 3338), List(4831, 5598), List(8709, 10784), List(3203, 6100), List(1620, 4847), List(6790, 9582), List(2872, 11413), List(4486, 5563), List(9489, 11124), List(5263, 8638), List(5291, 9905), List(8558, 10965), List(2046, 3908), List(6457, 9557), List(8077, 9911), List(7120, 11564), List(1917, 10853), List(7051, 7263), List(2039, 3868), List(9690, 11006), List(3289, 9607), List(7521, 8875), List(1188, 8199), List(8352, 8803), List(2400, 4032), List(636, 10315), List(3179, 7934), List(4648, 8119), List(2926, 3324), List(4545, 4988), List(5417, 11333), List(3707, 3889), List(4206, 5522), List(7758, 11447), List(4883, 11399), List(29, 10842), List(4664, 5619), List(3831, 9028), List(3263, 10264), List(436, 6470), List(313, 7568), List(8530, 11145), List(4853, 5491), List(1491, 4571), List(329, 11484), List(2350, 9930), List(3687, 8498), List(273, 11552), List(6400, 8218), List(1204, 2262), List(1140, 6973), List(6248, 10830), List(7466, 11396), List(4255, 10645), List(1325, 10136), List(4121, 8201), List(3555, 9510), List(2500, 9874), List(2063, 3457), List(5028, 10568), List(3194, 4778), List(10491, 11418), List(8039, 9753), List(2377, 3058), List(7667, 7895), List(5361, 9465), List(2061, 3761), List(1314, 2780), List(8619, 9281), List(494, 6424), List(1992, 11511), List(3170, 8514), List(778, 8812), List(9515, 10735), List(4229, 8269), List(9950, 10663), List(2116, 3818), List(1925, 7256), List(7902, 10771), List(1307, 1959), List(3289, 7647), List(9259, 9991), List(2882, 8986), List(7047, 11196), List(5808, 9753), List(82, 7769), List(9550, 10140), List(4560, 10476), List(859, 10844), List(1948, 8556), List(6392, 6771), List(3616, 5948), List(1288, 3787), List(156, 2241), List(1723, 2961), List(5233, 6031), List(2774, 11523), List(2034, 7549), List(7729, 7968), List(5370, 6494), List(5702, 8953), List(6734, 6885), List(2054, 8201), List(5732, 11047), List(2174, 6805), List(958, 3279), List(7532, 7804), List(4538, 5590), List(7239, 10211), List(4378, 10970), List(739, 1636), List(2351, 8545), List(9238, 10561), List(5224, 6268), List(7860, 9740), List(231, 6333), List(1972, 9680), List(671, 6605), List(1703, 4537), List(2068, 2972), List(13, 10577), List(2654, 8731), List(603, 5912), List(7263, 8703), List(1043, 5430), List(539, 4207), List(5774, 7085), List(2250, 8089), List(5496, 10524), List(3239, 8603), List(568, 6076), List(4305, 6119), List(1427, 10681), List(1036, 4609), List(926, 6723), List(9138, 9956), List(5600, 7090), List(7244, 9750), List(2048, 4548), List(3269, 11047), List(1480, 11446), List(2672, 6627), List(4974, 7567), List(1173, 9983), List(7145, 9744), List(2883, 11011), List(1047, 11564), List(6181, 10226), List(352, 4357), List(4288, 7239), List(1917, 10666), List(2638, 4764), List(2760, 5693), List(1762, 7345), List(642, 7314), List(260, 4768), List(1811, 7237), List(2445, 7752), List(7445, 9632), List(820, 6273), List(2284, 6114), List(2437, 7110), List(6480, 10643), List(4990, 5417), List(1753, 9861), List(509, 8074), List(2519, 8640), List(1402, 8880), List(7661, 11327), List(457, 7160), List(2836, 3594), List(2079, 8341), List(5537, 8969), List(1112, 2136), List(2705, 4831), List(1586, 1992), List(4910, 5838), List(3858, 10637), List(7764, 11455), List(928, 3712), List(10389, 11328), List(2147, 9384), List(2978, 9312), List(5497, 6537), List(3002, 7454), List(1071, 8901), List(3218, 6520), List(4582, 6157), List(4155, 6844), List(7415, 7487), List(4121, 4981), List(12, 9496), List(9353, 10594), List(819, 4866), List(9318, 11539), List(1161, 1597), List(8941, 11589), List(2780, 3261), List(5510, 6368), List(4697, 7019), List(5473, 7240), List(929, 5411), List(7157, 9299), List(1737, 3635), List(7282, 7493), List(6318, 7975), List(7302, 8899), List(1889, 4406), List(4628, 6101), List(1923, 10406), List(9853, 10543), List(3886, 5464), List(884, 8270), List(2661, 10520), List(2249, 11515), List(4718, 5213), List(10934, 10996), List(4428, 11301), List(2090, 4288), List(226, 9209), List(1933, 6556), List(5761, 5963), List(8694, 10907), List(7042, 11015), List(2677, 7239), List(8439, 9634), List(5017, 8663), List(1340, 3009), List(3960, 6702), List(592, 8219), List(1182, 11468), List(2054, 11397), List(7787, 8890), List(1051, 6289), List(7721, 10522), List(2981, 5371), List(8922, 9229), List(2645, 9586), List(2949, 9997), List(3102, 6829), List(7243, 10897), List(3126, 4971), List(868, 3549), List(3504, 3611), List(4748, 6152), List(1659, 10494), List(20, 11561), List(299, 4560), List(10413, 11243), List(601, 4898), List(2373, 6804), List(4955, 10013), List(7286, 9439), List(3647, 10685), List(5203, 7082), List(4415, 9510), List(3047, 5213), List(7040, 9383), List(4397, 8150), List(3929, 6584), List(6607, 9501), List(3541, 5721), List(3988, 7164), List(3554, 10090), List(2329, 6101), List(4259, 5183), List(6432, 8187), List(3853, 7878), List(1573, 10669), List(3801, 6964), List(4647, 7924), List(5429, 11343), List(4211, 8525), List(3379, 11378), List(910, 11264), List(4052, 7714), List(6385, 10219), List(4081, 6200), List(1381, 4433), List(2464, 10998), List(876, 2985), List(5237, 11523), List(5165, 9957), List(380, 5033), List(6751, 8475), List(4610, 8392), List(4044, 9701), List(1401, 8468), List(4885, 10317), List(8211, 9328), List(4697, 11020), List(6593, 11272), List(1043, 9699), List(6524, 9600), List(4148, 6267), List(5777, 8619), List(1171, 5912), List(7337, 8922), List(7886, 9164), List(861, 4932), List(8042, 9677), List(1634, 4855), List(6787, 6977), List(3099, 7550), List(4025, 4332), List(4709, 4964), List(2242, 2267), List(6696, 10996), List(1161, 1410), List(6290, 10308), List(5491, 8383), List(5756, 9620), List(4851, 7299), List(9400, 9472), List(2058, 9505), List(1831, 10280), List(11273, 11430), List(3018, 5117), List(5325, 6401), List(1708, 11378), List(8653, 11120), List(9861, 10998), List(2922, 8792), List(1735, 6785), List(2767, 4717), List(1489, 4100), List(1619, 9808), List(4135, 9014), List(1213, 8366), List(3761, 6329), List(2846, 3320), List(6001, 6391), List(9428, 11116), List(1972, 10111), List(759, 2719), List(6772, 8897), List(1549, 10917), List(3934, 7196), List(11000, 11429), List(105, 1148), List(3594, 7505), List(2278, 4152), List(545, 5584), List(1596, 7730), List(386, 11189), List(5460, 9046), List(4545, 6037), List(6110, 6684), List(4135, 7859), List(5418, 8820), List(6507, 7286), List(6136, 9036), List(224, 10080), List(2088, 10794), List(10851, 10932), List(1799, 4275), List(8648, 9971), List(1200, 9608), List(2612, 7007), List(4757, 9461), List(1959, 11323), List(8027, 10792), List(411, 4614), List(9825, 10886), List(4182, 4241), List(8977, 9099), List(1284, 8151), List(2882, 11190), List(3314, 10847), List(503, 1170), List(5640, 9929), List(103, 10096), List(634, 10486), List(668, 9316), List(5288, 9477), List(2834, 10395), List(5107, 6433), List(105, 3726), List(10521, 11528), List(1393, 5061), List(4197, 7151), List(6633, 8283), List(2180, 2408), List(9979, 10198), List(3226, 4210), List(6226, 10376), List(1605, 6637), List(2699, 11109), List(2411, 8198), List(8517, 10403), List(1829, 4810), List(5682, 5967), List(3168, 6834), List(3846, 6520), List(3435, 4734), List(1630, 4600), List(8482, 10567), List(6328, 10279), List(3678, 7875), List(4798, 7906), List(3681, 5140), List(1279, 7002), List(4088, 9436), List(6636, 7399), List(8687, 8720), List(5574, 10756), List(4701, 4940), List(2680, 2707), List(7817, 11466), List(9747, 10548), List(2957, 11094), List(1455, 8517), List(1486, 3666), List(1890, 8445), List(5004, 9263), List(4602, 10946), List(5557, 6214), List(3729, 10792), List(1690, 3846), List(10538, 11427), List(913, 4154), List(3616, 6192), List(8999, 11220), List(5482, 6979), List(3212, 11212), List(5351, 8216), List(1908, 2958), List(499, 2824), List(1011, 11078), List(5232, 6804), List(2527, 4693), List(2031, 4489), List(441, 8481), List(2650, 6978), List(995, 3405), List(1308, 1650), List(3171, 5926), List(2522, 7732), List(6940, 10388), List(6868, 8822), List(4292, 8811), List(82, 442), List(2772, 4874), List(1914, 2399), List(2853, 10720), List(6213, 10059), List(7581, 7940), List(1918, 9688), List(4934, 9217), List(1885, 7296), List(3734, 6948), List(4878, 5121), List(6433, 9244), List(1395, 6880), List(6431, 8417), List(5490, 10603), List(2260, 9802), List(6673, 7950), List(4367, 10274), List(8823, 9250), List(5886, 7570), List(5669, 9033), List(6889, 7016), List(8036, 8870), List(6477, 8011), List(6174, 8202), List(10845, 11304), List(7564, 9814), List(5634, 9951), List(1964, 8878), List(5388, 10676), List(2124, 6881), List(436, 7332), List(1145, 5577), List(3173, 8200), List(1621, 5506), List(2713, 9905), List(9029, 9476), List(1682, 9165), List(7649, 7828), List(4510, 9397), List(7965, 10508), List(2335, 10484), List(203, 7511), List(2629, 3791), List(7794, 8182), List(550, 11002), List(6749, 9234), List(5743, 11025), List(1478, 7830), List(1285, 7435), List(4588, 4742), List(2649, 7826), List(5615, 8746), List(1193, 8600), List(2755, 8976), List(3407, 6687), List(4305, 8591), List(79, 5351), List(5894, 10790), List(7203, 7310), List(744, 7461), List(4486, 7848), List(2082, 8883), List(3897, 7453), List(1524, 10053), List(5944, 7874), List(4755, 5794), List(6434, 6755), List(100, 6578), List(8560, 9913), List(7896, 10687), List(210, 10910), List(2018, 8309), List(3475, 6979), List(4445, 8197), List(176, 4129), List(5566, 11082), List(6034, 6986), List(4962, 9655), List(11011, 11326), List(2849, 5204), List(522, 1733), List(1138, 3951), List(2977, 3669), List(5712, 7874), List(5301, 6088), List(1815, 3412), List(6670, 6823), List(1291, 10582), List(1254, 8448), List(3278, 7165), List(6690, 6694), List(3706, 10086), List(10641, 11392), List(2946, 7365), List(7463, 10000), List(5969, 11448), List(5742, 8059), List(3725, 4070), List(4253, 10605), List(850, 3268), List(6980, 10031), List(1885, 4881), List(4144, 9157), List(7985, 8769), List(2534, 8710), List(5366, 6432), List(5399, 11453), List(7376, 10381), List(1963, 2478), List(7816, 10653), List(6130, 7767), List(3235, 3280), List(3768, 10159), List(4040, 8403), List(2551, 6031), List(5070, 5508), List(832, 11333), List(4414, 10307), List(7340, 11074), List(5931, 10940), List(3009, 10292), List(1333, 6596), List(331, 10758), List(42, 75), List(410, 2191), List(6992, 10741), List(3470, 8408), List(6990, 9914), List(144, 7899), List(6641, 9760), List(3618, 5273), List(1904, 7509), List(4459, 6643), List(1682, 8628), List(2535, 4343), List(3609, 8193), List(128, 5861), List(8603, 10228), List(726, 6719), List(2777, 3876), List(2147, 3480), List(5207, 7445), List(8459, 9725), List(9183, 9756), List(4575, 11140), List(3575, 11211), List(2835, 11401), List(235, 6108), List(9637, 10865), List(3720, 11565), List(573, 6103), List(827, 2987), List(6768, 6845), List(6988, 9063), List(10816, 11476), List(487, 10466), List(10719, 11543), List(6926, 11568), List(166, 4409), List(3999, 10576), List(2721, 3543), List(112, 7556), List(4489, 10211), List(4396, 7768), List(220, 4645), List(5729, 8846), List(691, 10646), List(2991, 8507), List(4486, 7661), List(1719, 11088), List(811, 2080), List(1960, 7013), List(6514, 9530), List(2740, 10359), List(278, 5000), List(1522, 7541), List(4481, 6536), List(7218, 10814), List(2762, 5422), List(2359, 4251), List(1951, 6900), List(4936, 7116), List(1515, 3337), List(1976, 7896), List(9111, 10768), List(6499, 8848), List(4837, 10520), List(4479, 6840), List(2610, 11417), List(582, 9548), List(1829, 10852), List(1082, 9871), List(708, 11350), List(5460, 6712), List(633, 8732), List(20, 10195), List(4676, 5849), List(317, 10189), List(2311, 10976), List(3113, 5248), List(6504, 11070), List(695, 6577), List(3642, 4811), List(1933, 10801), List(652, 9132), List(2739, 5946), List(7630, 11266), List(5851, 5937), List(370, 7167), List(1958, 9518), List(3231, 9791), List(3066, 5028), List(2344, 5797), List(4304, 6219), List(1532, 9302), List(3438, 7236), List(5831, 8294), List(690, 8461), List(1032, 8198), List(510, 9025), List(6200, 9854), List(4494, 8945), List(8410, 11205), List(4632, 8909), List(5822, 9679), List(1061, 10067), List(3642, 4006), List(572, 6870), List(4648, 6379), List(5548, 8356), List(6283, 8576), List(4629, 7857), List(10487, 10714), List(7350, 8192), List(2737, 2816), List(10445, 10488), List(7098, 11354), List(6193, 9033), List(1262, 4314), List(5440, 7483), List(493, 4483), List(1520, 8487), List(517, 2625), List(4557, 6641), List(9264, 9400), List(1048, 8677), List(7242, 11483), List(4219, 10029), List(6521, 7936), List(791, 8462), List(2525, 3468), List(4178, 10378), List(4701, 5989), List(2524, 10413), List(9344, 11207), List(3952, 8345), List(4953, 6210), List(8098, 8593), List(873, 9965), List(2554, 5337), List(2666, 6332), List(3887, 6415), List(1731, 5300), List(1613, 10906), List(1306, 9443), List(9926, 10781), List(3665, 4501), List(5087, 11286), List(3196, 9126), List(2107, 4998), List(10472, 10725), List(2910, 9294), List(1609, 10383), List(6805, 9923), List(6860, 9630), List(542, 9986), List(6772, 7531), List(1316, 9380), List(1605, 7231), List(4921, 10435), List(5862, 8249), List(4833, 7582), List(3556, 9819), List(2809, 8838), List(244, 2600), List(9746, 10971), List(1410, 2976), List(3793, 9008), List(40, 9186), List(5262, 9947), List(7137, 8568), List(7696, 10252), List(2463, 11584), List(4641, 7762), List(2757, 11307), List(3598, 5507), List(6247, 9938), List(2352, 10440), List(3721, 7011), List(3504, 8474), List(4215, 8300), List(6300, 10703), List(78, 10767), List(2468, 7390), List(606, 6722), List(3276, 3362), List(1091, 3761), List(1352, 1816), List(9065, 9832), List(7482, 8579), List(813, 7200), List(3989, 8896), List(4858, 5144), List(1941, 11256), List(4525, 8876), List(411, 6631), List(1006, 10978), List(2245, 6005), List(1470, 2976), List(1427, 5558), List(487, 4936), List(1190, 9752), List(4036, 4928), List(206, 2442), List(4727, 8983), List(7533, 11146), List(2977, 8556), List(3362, 8367), List(8897, 11537), List(673, 4537), List(1638, 7663), List(6397, 6448), List(1639, 10517), List(460, 9125), List(2317, 3033), List(8923, 9725), List(2445, 5662), List(8888, 11424), List(5115, 5308), List(4631, 8871), List(4215, 7495), List(3069, 8495), List(3600, 8131), List(5432, 10088), List(6326, 8086), List(3153, 10071), List(10348, 10742), List(7757, 9699), List(6707, 11161), List(10840, 11204), List(1934, 9280), List(2333, 7299), List(1565, 5441), List(3708, 11232), List(8599, 10136), List(934, 11236), List(1495, 3167), List(5077, 5551), List(1734, 3183), List(271, 2032), List(4042, 8075), List(6833, 9206), List(2426, 10092), List(3388, 6531), List(1141, 6052), List(3322, 8917), List(7838, 7944), List(3163, 7352), List(1229, 11534), List(8600, 9987), List(143, 10333), List(755, 5235), List(3282, 8737), List(2993, 8634), List(6324, 7235), List(4092, 7788), List(3958, 4590), List(6384, 7286), List(8235, 8519), List(2347, 7705), List(2929, 11093), List(535, 6400), List(11340, 11503), List(5381, 5561), List(2280, 9866), List(154, 292), List(4571, 9893), List(1157, 8783), List(1305, 9435), List(940, 4584), List(6258, 9217), List(3329, 11562), List(8458, 9880), List(3565, 3733), List(5311, 6670), List(10820, 10871), List(5849, 7477), List(4469, 8835), List(2301, 3923), List(2330, 9579), List(477, 5267), List(3993, 10037), List(5679, 8759), List(1207, 2834), List(6464, 9443), List(1820, 4000), List(2092, 2244), List(6076, 8580), List(2196, 6731), List(3089, 7537), List(3275, 4509), List(4897, 11352), List(4520, 9150), List(4179, 8857), List(1058, 5370), List(7526, 11374), List(1992, 5396), List(865, 4194), List(94, 2819), List(124, 10575), List(680, 2162), List(4193, 8913), List(9611, 11498), List(7519, 7924), List(2080, 4462), List(549, 9815), List(3947, 5474), List(6746, 11384), List(1669, 3430), List(3984, 8739), List(516, 1007), List(8710, 9296), List(2733, 3529), List(2796, 7261), List(3467, 3524), List(6644, 10326), List(7740, 9963), List(1508, 5175), List(3960, 6840), List(573, 1891), List(8752, 11400), List(7420, 7514), List(2895, 9899), List(4138, 8051), List(4420, 11147), List(1655, 8985), List(8317, 8439), List(6128, 11348), List(4894, 10249), List(188, 3928), List(3292, 4058), List(5110, 8561), List(1433, 2907), List(5847, 8827), List(6212, 7262), List(4159, 9278), List(800, 6377), List(1266, 11280), List(1636, 6649), List(5378, 7036), List(3346, 7677), List(10350, 11032), List(2659, 6747), List(10004, 10395), List(107, 11294), List(508, 5222), List(2884, 2893), List(4585, 8339), List(1658, 7347), List(598, 5115), List(753, 2774), List(443, 4046), List(5427, 9557), List(1566, 7758), List(4706, 9797), List(1375, 8190), List(1155, 6726), List(315, 8964), List(1882, 4022), List(6388, 8777), List(476, 9821), List(7594, 7828), List(2528, 7580), List(4121, 10275), List(4114, 9104), List(1183, 8370), List(586, 3950), List(87, 3071), List(8966, 11463), List(4262, 5969), List(122, 8919), List(588, 10412), List(1641, 2805), List(8957, 11350), List(8324, 10683), List(3498, 6512), List(4938, 5959), List(3183, 5188), List(3566, 4926), List(5873, 10374), List(3409, 4188), List(1473, 7543), List(2620, 9397), List(1169, 10515), List(694, 11188), List(8784, 9328), List(3741, 5866), List(1590, 5095), List(1251, 5629), List(1688, 6384), List(1120, 6866), List(5636, 5893), List(3674, 8027), List(5047, 6252), List(446, 3889), List(6191, 10841), List(4582, 7613), List(7102, 9944), List(7369, 7844), List(4475, 9244), List(4330, 6611), List(213, 685), List(3953, 4409), List(2301, 6769), List(1711, 3520), List(147, 6481), List(6253, 8686), List(646, 3950), List(8812, 10191), List(1799, 9756), List(1929, 8294), List(387, 8570), List(227, 4905), List(6579, 10549), List(2513, 5312), List(3600, 9367), List(1513, 10301), List(6611, 8552), List(7550, 10457), List(5308, 9568), List(3216, 5994), List(4461, 8383), List(1407, 1954), List(5140, 10923), List(904, 1333), List(5299, 8701), List(2832, 9387), List(8000, 11043), List(6446, 7522), List(677, 11126), List(10880, 11465), List(5850, 6710), List(6958, 9390), List(8986, 11259), List(4041, 9086), List(586, 5723), List(1479, 6529), List(8545, 11516), List(4663, 8840), List(652, 9726), List(2915, 5076), List(4682, 6638), List(1416, 8432), List(5406, 5915), List(5184, 7788), List(5065, 5622), List(5645, 8183), List(2914, 11267), List(5903, 6721), List(3432, 6534), List(479, 10737), List(4933, 7388), List(3706, 8988), List(5206, 8486), List(6546, 10735), List(2866, 4810), List(1276, 8802), List(2090, 4589), List(510, 9269), List(940, 8853), List(4589, 6043), List(1540, 10538), List(1103, 4121), List(6168, 10560), List(523, 7252), List(7415, 10366), List(6699, 10196), List(1006, 4188), List(8585, 9760), List(4486, 6295), List(3297, 4215), List(1893, 4425), List(652, 8571), List(612, 9172), List(6904, 8349), List(3382, 6016), List(921, 10681), List(2165, 6052), List(5683, 6731), List(1832, 3368), List(4092, 11252), List(5484, 6521), List(9477, 10691), List(5397, 8030), List(1911, 5354), List(636, 1248), List(9414, 10342), List(3461, 4215), List(3493, 7136), List(1416, 4594), List(5805, 8764), List(7197, 11203), List(1846, 3424), List(6104, 8831), List(5514, 5582), List(3363, 11227), List(3402, 10401), List(102, 4697), List(6139, 11269), List(4322, 9620), List(3828, 6079), List(3231, 8075), List(7754, 9027), List(435, 4348), List(744, 11519), List(5725, 9185), List(5162, 10011), List(7438, 9730), List(3085, 5217), List(1027, 7643), List(807, 3173), List(2257, 4836), List(5255, 7923), List(8178, 11425), List(50, 6385), List(7804, 8740), List(1766, 4949), List(5162, 10361), List(759, 8013), List(7512, 8339), List(10567, 11206), List(6291, 10885), List(1559, 9759), List(2400, 3959), List(591, 6335), List(7498, 10511), List(6570, 10650), List(710, 1304), List(5534, 8812), List(302, 3199), List(8302, 11245), List(706, 3814), List(1891, 1988), List(5089, 8169), List(1360, 5735), List(6926, 10470), List(4716, 6086), List(7152, 10224), List(1170, 3359), List(173, 7865), List(1221, 5576), List(2592, 9390), List(5768, 11086), List(2036, 5725), List(6203, 11014), List(503, 3081), List(604, 3887), List(4181, 5927), List(9351, 10662), List(2873, 8851), List(5237, 10669), List(7565, 10578), List(6644, 7724), List(6477, 9304), List(3311, 6044), List(2249, 9401), List(6105, 7446), List(1910, 3519), List(4931, 10562), List(6139, 6276), List(3799, 9016), List(2431, 4719), List(870, 11361), List(4610, 10921), List(1329, 3015), List(7553, 9413), List(3518, 9905), List(7434, 8001), List(3232, 10073), List(4574, 5979), List(5868, 7129), List(238, 7105), List(1795, 7891), List(1867, 3041), List(3543, 5239), List(2173, 10695), List(3541, 4412), List(1368, 6326), List(8422, 9044), List(5426, 10167), List(10350, 11463), List(646, 6341), List(5374, 9977), List(1692, 7389), List(2889, 10084), List(4529, 5455), List(2165, 3637), List(666, 6993), List(4475, 8602), List(2751, 9396), List(2006, 9242), List(5497, 5846), List(1514, 8780), List(426, 7506), List(2291, 5439), List(8354, 10980), List(3180, 9509), List(5550, 8109), List(2436, 5039), List(10343, 10642), List(6604, 7520), List(8587, 9646), List(8805, 11037), List(7217, 9440), List(1336, 5633), List(1093, 5875), List(1898, 10998), List(2237, 10464), List(2457, 6266), List(6681, 8679), List(4040, 8273), List(6996, 7751), List(3794, 4834), List(3047, 9515), List(679, 10961), List(6061, 6719), List(9388, 10836), List(1026, 1620), List(1518, 2082), List(179, 9857), List(2264, 5844), List(5493, 10584), List(8335, 8994), List(5126, 9070), List(4037, 4188), List(2003, 4756), List(5526, 9943), List(5550, 10337), List(538, 6942), List(3494, 6420), List(6577, 7925), List(4801, 6277), List(3529, 8858), List(1041, 8694), List(3520, 11024), List(781, 3667), List(9125, 9271), List(32, 5269), List(3022, 10747), List(5952, 9004), List(1714, 5003), List(5607, 11221), List(2651, 5327), List(5853, 8244), List(2147, 3350), List(7379, 8963), List(6231, 7638), List(3442, 5856), List(709, 8113), List(1433, 8144), List(2302, 8556), List(9182, 10155), List(3692, 6004), List(4378, 6709), List(6057, 8424), List(1883, 1964), List(4158, 7874), List(7864, 8604), List(5393, 6165), List(3228, 7940), List(5458, 6560), List(325, 11506), List(2469, 8854), List(5863, 7777), List(4495, 8398), List(5859, 11041), List(40, 5860), List(5055, 6520), List(2529, 6626), List(2534, 6970), List(7513, 7973), List(244, 2657), List(8005, 8435), List(6066, 11519), List(495, 6440), List(4147, 10317), List(10212, 10269), List(4916, 7115), List(1306, 8345), List(530, 2462), List(3805, 9799), List(8774, 10114), List(3490, 8475), List(3679, 11380), List(5441, 8434), List(8798, 9010), List(9018, 10474), List(1976, 4383), List(57, 9597), List(336, 2596), List(5910, 11356), List(1547, 1991), List(5090, 10836), List(3078, 6437), List(2259, 10306), List(3288, 7967), List(170, 10413), List(299, 6097), List(17, 3001), List(6272, 8712), List(379, 7554), List(4830, 6186), List(3615, 9301), List(3221, 3712), List(7508, 9857), List(5369, 10601), List(9003, 9011), List(8934, 11126), List(2836, 8782), List(1248, 7185), List(475, 4983), List(8790, 11347), List(3329, 9846), List(2238, 4891), List(3333, 6555), List(5879, 7855), List(242, 10824), List(1248, 7535), List(2487, 2562), List(3753, 8080), List(9078, 10474), List(2258, 2510), List(432, 1499), List(2390, 2629), List(1708, 8459), List(1574, 6015), List(8265, 10371), List(9628, 11291), List(13, 11122), List(2664, 10718), List(2929, 5539), List(1127, 11338), List(4618, 7942), List(4709, 7306), List(10156, 10629), List(1940, 7654), List(3901, 8301), List(1804, 4383), List(3457, 11293), List(1213, 7325), List(9769, 10368), List(3024, 11411), List(3385, 5940), List(4570, 10530), List(122, 9163), List(2522, 7228), List(9511, 9551), List(6462, 6876), List(8177, 10500), List(6071, 7220), List(10510, 10753), List(1300, 6920), List(9882, 11184), List(6497, 9314), List(4508, 6619), List(7147, 10362), List(6951, 7040), List(7236, 9653), List(3623, 5704), List(3105, 4021), List(2379, 3163), List(8084, 11440), List(4840, 8297), List(6237, 11080), List(4833, 4874), List(1906, 11052), List(5514, 8241), List(7924, 10404), List(2468, 5837), List(3121, 4904), List(4526, 7548), List(223, 8814), List(3584, 9509), List(5511, 11326), List(2951, 5432), List(6913, 8037), List(4103, 7630), List(8590, 8925), List(211, 4266), List(178, 8290), List(959, 8855), List(3420, 7573), List(2510, 4908), List(3723, 5130), List(9335, 10210), List(1921, 4513), List(5496, 5726), List(5840, 10454), List(5716, 7944), List(8517, 10517), List(728, 9107), List(4186, 9735), List(6808, 10091), List(3310, 5900), List(1608, 3235), List(6279, 10501), List(3777, 8749), List(3408, 6408), List(1066, 6069), List(1561, 6048), List(4116, 5182), List(2338, 9123), List(6851, 8633), List(1748, 5874), List(4767, 9838), List(182, 1592), List(1224, 6628), List(7602, 11241), List(2215, 7969), List(1248, 4770), List(594, 10396), List(3827, 8462), List(3576, 4679), List(3016, 9186), List(9268, 11216), List(6339, 9397), List(3911, 10038), List(6244, 10291), List(2885, 3226), List(4471, 8914), List(4526, 8621), List(6804, 9167), List(3159, 5680), List(7861, 8095), List(2252, 6696), List(5467, 9818), List(5113, 9320), List(9321, 10446), List(6365, 8716), List(5122, 9783), List(2746, 6450), List(2940, 9699), List(8284, 9137), List(2346, 8960), List(1904, 2199), List(1835, 4314), List(5800, 6436), List(2710, 3760), List(595, 9062), List(2059, 8903), List(8621, 9661), List(1995, 4946), List(185, 10884), List(625, 11156), List(9563, 10329), List(4541, 6246), List(4477, 4541), List(5067, 5538), List(10987, 11525), List(7928, 8162), List(2508, 9668), List(6847, 8059), List(5973, 11467), List(1453, 3616), List(214, 6337), List(6026, 10347), List(5972, 7078), List(507, 2425), List(1785, 3796), List(642, 8477), List(4928, 5352), List(146, 11279), List(4711, 6815), List(1944, 7990), List(4488, 8463), List(3614, 5455), List(3804, 11214), List(1039, 9052), List(2156, 2396), List(5182, 9783), List(506, 6337), List(4676, 4727), List(4454, 5846), List(1410, 4269), List(2559, 9202), List(3146, 6518), List(4610, 6359), List(5446, 6631), List(4821, 10743), List(4430, 11087), List(4976, 8402), List(2806, 3417), List(3642, 3689), List(2079, 9504), List(1673, 8062), List(2, 4710), List(3455, 4994), List(4327, 7175), List(9617, 9760), List(8619, 11412), List(7308, 7649), List(985, 7661), List(4257, 9065), List(2077, 3392), List(1022, 3756), List(3594, 6277), List(4628, 5036), List(5780, 9486), List(5341, 6406), List(81, 2909), List(912, 2837), List(1538, 5743), List(1970, 1990), List(2625, 9798), List(4094, 7731), List(2191, 7062), List(2134, 6528), List(4454, 11457), List(259, 10536), List(6816, 10950), List(4142, 10404), List(1938, 5835), List(312, 7918), List(1864, 7606), List(3488, 9614), List(3579, 11230), List(5107, 6360), List(3482, 11297), List(6625, 10601), List(340, 517), List(4016, 8952), List(2450, 3916), List(3100, 5718), List(3700, 9655), List(956, 1954), List(5935, 7121), List(3378, 7160), List(6518, 9199), List(8928, 11362), List(3030, 3444), List(4994, 7772), List(1847, 9480), List(1822, 11113), List(7417, 10170), List(3398, 5533), List(719, 8807), List(510, 10131), List(448, 7001), List(3087, 10744), List(855, 11297), List(3374, 3604), List(6512, 8980), List(7728, 9473), List(118, 10280), List(2614, 8053), List(434, 1626), List(652, 9433), List(4454, 7619), List(1866, 6847), List(4010, 4195), List(1048, 6400), List(516, 7293), List(2890, 9799), List(1135, 9028), List(574, 10681), List(2601, 3280), List(3905, 5872), List(6993, 11131), List(4495, 6869), List(6117, 8050), List(9267, 10777), List(1855, 2901), List(9363, 10485), List(3162, 9174), List(6297, 6705), List(2009, 9003), List(5302, 11284), List(39, 4106), List(639, 2381), List(3687, 11247), List(2567, 4800), List(807, 3685), List(7291, 10946), List(626, 641), List(10687, 10696), List(6640, 9673), List(4422, 7680), List(5879, 10514), List(96, 7242), List(4046, 8332), List(626, 991), List(8334, 9417), List(1961, 2896), List(1558, 8141), List(6995, 10022), List(8277, 8883), List(6964, 8457), List(10455, 11477), List(923, 7401), List(2824, 11407), List(438, 8110), List(677, 3962), List(8677, 9002), List(4976, 9370), List(2077, 4010), List(4373, 10797), List(4994, 9195), List(3913, 9092), List(4873, 11120), List(598, 1602), List(1222, 4435), List(5989, 7999), List(2477, 4102), List(5925, 10458), List(1844, 3435), List(811, 6032), List(2244, 10724), List(3560, 8415), List(4614, 10078), List(9866, 9927), List(3923, 9406), List(1748, 10493), List(1146, 5729), List(6914, 11322), List(2432, 11125), List(7998, 9444), List(1611, 6997), List(611, 5570), List(8339, 8956), List(1088, 8353), List(2908, 9549), List(1290, 11493), List(956, 5955), List(8636, 11579), List(2693, 11058), List(6960, 7129), List(2409, 11299), List(7542, 9736), List(5680, 9068), List(969, 2403), List(1758, 6993), List(4115, 5388), List(247, 2418), List(4178, 9874), List(8381, 10656), List(2280, 3133), List(2364, 7742), List(1649, 8928), List(615, 8671), List(3574, 7666), List(929, 9770), List(2328, 2800), List(7023, 10460), List(2849, 8164), List(2824, 3381), List(449, 10072), List(3492, 11424), List(300, 3533), List(2462, 7122), List(4368, 8062), List(6453, 8213), List(407, 6813), List(2225, 11316), List(1907, 6311), List(658, 4180), List(6483, 10307), List(3455, 9263), List(7408, 9870), List(9116, 10071), List(687, 6049), List(38, 1439), List(3830, 7605), List(9622, 11340), List(1341, 10222), List(1697, 10823), List(2382, 5264), List(921, 11356), List(5817, 10604), List(1958, 3216), List(1861, 9699), List(1634, 10474), List(576, 741), List(4220, 4757), List(4973, 9690), List(3729, 7149), List(4216, 7267), List(114, 121), List(824, 8390), List(1290, 3467), List(2910, 7985), List(11, 2625), List(602, 8728), List(5392, 10990), List(9714, 9774), List(2119, 10115), List(4150, 9249), List(7877, 8604), List(4427, 7837), List(3615, 5707), List(251, 4714), List(1216, 11250), List(4886, 5907), List(1734, 6517), List(592, 4225), List(9396, 11535), List(5820, 10097), List(6334, 7874), List(3753, 7519), List(4904, 6863), List(7056, 11242), List(1514, 11065), List(8272, 10981), List(3373, 5019), List(608, 2857), List(5238, 9368), List(5339, 10174), List(262, 2220), List(1406, 6809), List(287, 9632), List(3026, 11327), List(1033, 11142), List(1602, 7098), List(5428, 6432), List(2121, 5219), List(65, 1302), List(5414, 8254), List(3423, 11148), List(10332, 11233), List(9363, 11371), List(1243, 2442), List(4167, 8798), List(1302, 9438), List(5689, 10529), List(2972, 6903), List(2352, 11359), List(8942, 9247), List(1204, 9280), List(1293, 2155), List(3748, 9753), List(3443, 9871), List(1506, 3202), List(418, 7590), List(1878, 2027), List(2626, 6616), List(5694, 6335), List(9210, 10351), List(2744, 3639), List(3303, 5323), List(3370, 7299), List(2530, 9537), List(1780, 8285), List(652, 9864), List(270, 7318), List(7156, 9863), List(5254, 5632), List(2298, 10318), List(6646, 8071), List(853, 4111), List(1730, 10800), List(1477, 6944), List(2701, 10708), List(4367, 8054), List(232, 11348), List(3441, 4856), List(789, 5789), List(548, 6858), List(4459, 4610), List(417, 10347), List(3092, 7331), List(819, 7883), List(1039, 10101), List(3274, 9065), List(880, 8536), List(5701, 6701), List(3336, 6910), List(5817, 10067), List(1834, 4333), List(9235, 11296), List(1561, 8870), List(8591, 11194), List(3085, 6510), List(618, 3813), List(1586, 4204), List(6410, 7548), List(1383, 3121), List(8182, 9454), List(3380, 9841), List(8982, 10069), List(4477, 8168), List(4655, 10160), List(1013, 1309), List(7676, 10787), List(2225, 3558), List(8644, 10424), List(2135, 4796), List(2469, 3918), List(3962, 9415), List(3750, 11222), List(2346, 11432), List(7198, 11162), List(2069, 6428), List(257, 11539), List(3899, 8312), List(2715, 6576), List(6075, 10833), List(3499, 10822), List(132, 10312), List(5385, 10386), List(3868, 10130), List(2266, 6191), List(7025, 9140), List(9738, 11112), List(4881, 5376), List(1271, 11524), List(2765, 6289), List(8169, 10696), List(1897, 11397), List(372, 9368), List(10549, 10738), List(1573, 8075), List(2543, 11545), List(389, 6339), List(6311, 10147), List(180, 6165), List(2288, 3856), List(7741, 8125), List(2277, 2943), List(1815, 10991), List(542, 4302), List(2498, 8769), List(1346, 9200), List(2368, 8696), List(1817, 11037), List(2655, 5720), List(1129, 5001), List(1774, 7957), List(2627, 10088), List(6127, 10218), List(5834, 6933), List(3305, 6768), List(9088, 10040), List(6572, 10834), List(7666, 9644), List(9113, 11036), List(2955, 2979), List(4109, 8256), List(2017, 4682), List(5542, 6532), List(1247, 5407), List(1837, 9410), List(557, 4960), List(6785, 8848), List(3514, 8046), List(2175, 8651), List(5403, 6373), List(4821, 7149), List(4666, 10244), List(6536, 10773), List(307, 8168), List(6558, 6590), List(4978, 11270), List(3168, 3622), List(2043, 4001), List(652, 10832), List(726, 1921), List(304, 7116), List(8296, 8885), List(4841, 5522), List(5178, 10577), List(6093, 7170), List(2434, 2876), List(1253, 4821), List(4896, 8612), List(402, 484), List(1807, 9544), List(8718, 10456), List(3145, 10966), List(1650, 5396), List(3461, 6476), List(1871, 10468), List(4519, 5629), List(2673, 5494), List(2560, 11444), List(10086, 10966), List(7345, 9198), List(4692, 7277), List(7147, 8459), List(2950, 4459), List(2050, 2482), List(4875, 9613), List(8966, 10154), List(3670, 7000), List(8424, 10359), List(2042, 8256), List(4067, 10608), List(4963, 8679), List(665, 11043), List(2904, 10880), List(5397, 9136), List(419, 10987), List(6140, 6211), List(173, 1132), List(3466, 5665), List(7948, 10780), List(7227, 10266), List(3055, 4633), List(1545, 7800), List(1134, 6768), List(1430, 3154), List(7443, 8578), List(9750, 9862), List(7859, 10708), List(376, 7126), List(4051, 5537), List(4228, 4675), List(2989, 3232), List(659, 6660), List(3867, 7113), List(932, 5506), List(151, 5695), List(90, 7671), List(3924, 11030), List(2484, 11583), List(6410, 7361), List(6088, 11282), List(3502, 11337), List(4539, 8859), List(1858, 4890), List(4654, 7119), List(5125, 6704), List(4371, 10214), List(1043, 8878), List(4002, 6375), List(1634, 7067), List(1406, 4207), List(3496, 11118), List(2433, 4424), List(7223, 9692), List(1738, 3633), List(1997, 11441), List(6477, 11565), List(2802, 5984), List(1613, 8068), List(1951, 8063), List(244, 4300), List(1419, 4038), List(866, 10470), List(1885, 3279), List(4597, 5780), List(2160, 8587), List(2693, 4886), List(5371, 8557), List(5827, 6356), List(3805, 9937), List(6105, 8552), List(1960, 10404), List(7846, 11145), List(2247, 10434), List(1285, 10989), List(4518, 9055), List(7387, 10042), List(9405, 11223), List(3830, 8654), List(1428, 4100), List(6438, 10832), List(3795, 9599), List(309, 507), List(5730, 9025), List(4505, 5036), List(6748, 8779), List(3565, 10076), List(7235, 8897), List(791, 10080), List(6620, 7281), List(7614, 8893), List(1139, 10763), List(2316, 11328), List(10139, 11568), List(10077, 10690), List(3183, 10913), List(3403, 8967), List(4597, 4975), List(8860, 10726), List(5866, 8512), List(1604, 5615), List(3588, 5714), List(3684, 5422), List(3988, 8839), List(4096, 10062), List(4963, 9647), List(417, 7745), List(3400, 9046), List(286, 2566), List(2345, 10164), List(4083, 9076), List(7877, 9653), List(6732, 7091), List(2954, 4795), List(2150, 9696), List(529, 11369), List(3511, 5652), List(7556, 10012), List(3731, 7870), List(6876, 10253), List(3047, 4205), List(4695, 10771), List(493, 2263), List(8017, 8128), List(7431, 11414), List(273, 7592), List(5364, 9590), List(176, 9911), List(5191, 11325), List(6671, 8693), List(4969, 6028), List(4984, 6336), List(3532, 7229), List(760, 3896), List(3, 1473), List(1873, 6920), List(6, 5154), List(4176, 10714), List(1590, 10015), List(8694, 11322), List(5907, 6203), List(683, 11031), List(3761, 5776), List(3365, 5776), List(70, 6832), List(37, 10856), List(6040, 9176), List(4763, 4997), List(1652, 7860), List(5043, 7266), List(4749, 6819), List(9120, 9629), List(4015, 10207), List(1370, 8147), List(3817, 6058), List(1327, 5067), List(5277, 6157), List(8236, 9316), List(4036, 8051), List(4898, 9544), List(3680, 6726), List(2035, 3841), List(5064, 8493), List(4501, 9319), List(6645, 6667), List(9855, 10199), List(1753, 10544), List(1854, 11350), List(1275, 4503), List(3052, 9759), List(810, 2454), List(6611, 10439), List(2024, 5530), List(1715, 8158), List(5297, 10542), List(3074, 4041), List(7404, 11014), List(8216, 10892), List(33, 6145), List(2297, 10765), List(3701, 8303), List(8372, 11405), List(10359, 11021), List(2673, 7080), List(3377, 4981), List(8953, 10404), List(8586, 8890), List(5644, 6866), List(4477, 6989), List(5191, 6332), List(3376, 11172), List(2732, 11070), List(5647, 10547), List(4059, 4786), List(5986, 10013), List(201, 6668), List(3124, 3754), List(3528, 7779), List(749, 1023), List(2818, 10063), List(4714, 9561), List(10024, 10169), List(8101, 11477), List(8815, 10820), List(2435, 3128), List(1817, 4247), List(905, 4919), List(3174, 9883), List(8062, 9270), List(1054, 8425), List(963, 2645), List(4326, 5665), List(465, 8030), List(7218, 7602), List(3959, 4151), List(1896, 5479), List(5380, 11492), List(2604, 4253), List(4624, 6261), List(3070, 5746), List(52, 3138), List(831, 9292), List(1505, 2066), List(577, 9375), List(1635, 7774), List(1506, 5674), List(1294, 7481), List(293, 3200), List(9475, 11401), List(2844, 7096), List(2467, 11310), List(4127, 5805), List(1264, 3108), List(5333, 7862), List(3779, 10757), List(1042, 4227), List(8545, 9215), List(4345, 7196), List(126, 7409), List(690, 3021), List(7131, 7956), List(6286, 9850), List(2005, 2739), List(5785, 11554), List(1595, 10977), List(3233, 4023), List(7912, 11150), List(4667, 11569), List(5794, 6355), List(1307, 1650), List(2831, 5706), List(806, 3354), List(10389, 10401), List(2266, 4207), List(3885, 5117), List(9612, 10709), List(4008, 9654), List(3695, 4993), List(3538, 11425), List(8333, 9867), List(1115, 1830), List(8828, 9846), List(6671, 8506), List(762, 7569), List(9724, 11300), List(4208, 6682), List(4276, 10758), List(1198, 3935), List(1406, 4638), List(2027, 7200), List(3085, 5599), List(5769, 7587), List(1037, 6461), List(8664, 9041), List(7599, 8717), List(9561, 10720), List(722, 4356), List(5383, 6770), List(1021, 10839), List(1052, 5988), List(723, 7210), List(1513, 11301), List(10761, 11454), List(900, 6348), List(4659, 10122), List(526, 3663), List(3255, 3916), List(390, 10972), List(8953, 11022), List(2482, 8130), List(519, 6656), List(5933, 7587), List(5131, 6145), List(5747, 8363), List(8297, 9405), List(4262, 9897), List(833, 2093), List(5091, 8998), List(9817, 10309), List(5720, 9923), List(4409, 6160), List(3757, 8449), List(3913, 8962), List(5451, 10472), List(480, 3668), List(2248, 8084), List(2368, 8940), List(7256, 7573), List(10153, 10608), List(1247, 8684), List(6515, 10544), List(2866, 3932), List(901, 1631), List(1310, 6754), List(10119, 10243), List(1989, 7042), List(7253, 10658), List(3860, 8927), List(467, 2278), List(6869, 7285), List(5630, 10006), List(6179, 6838), List(2507, 4938), List(917, 2514), List(6395, 11566), List(6708, 9811), List(4665, 6853), List(1293, 5245), List(5119, 10241), List(1726, 8510), List(1129, 4090), List(4628, 11135), List(1359, 6996), List(8136, 11126), List(6962, 10078), List(9013, 11399), List(7915, 9437), List(3620, 10564), List(1980, 8777), List(7828, 10192), List(561, 11338), List(5727, 5751), List(38, 2114), List(2641, 10364), List(6135, 6485), List(1677, 10846), List(5340, 8496), List(6902, 8872), List(3015, 5852), List(4228, 6074), List(3511, 6433), List(394, 9481), List(1160, 4850), List(4649, 4791), List(5870, 11290), List(4965, 8969), List(5839, 9725), List(4067, 7819), List(10321, 10676), List(4557, 5202), List(6449, 7964), List(1531, 9866), List(3991, 5730), List(6076, 8133), List(1038, 9933), List(1456, 1586), List(4948, 7460), List(2207, 9856), List(689, 8998), List(9178, 10819), List(8899, 11404), List(6468, 8364), List(5031, 6182), List(1822, 6258), List(717, 8013), List(1667, 2937), List(1169, 4912), List(1017, 10934), List(3159, 8209), List(325, 9660), List(168, 9676), List(636, 4826), List(1265, 8003), List(3624, 9477), List(4372, 7650), List(6460, 7318), List(2723, 8029), List(4994, 6650), List(3838, 6962), List(6386, 9089), List(4859, 10397), List(7321, 9340), List(1688, 7547), List(1099, 7152), List(970, 4298), List(6007, 9443), List(8653, 10193), List(185, 581), List(0, 801), List(4139, 10458), List(6811, 10931), List(5016, 5069), List(2889, 8856), List(704, 8501), List(7529, 10393), List(7462, 8417), List(96, 3892), List(1579, 8701), List(1171, 4180), List(3479, 9072), List(3103, 9724), List(4399, 5285), List(908, 2265), List(1976, 6270), List(4431, 10458), List(1475, 8728), List(8071, 10568), List(232, 3379), List(5077, 7600), List(7255, 10948), List(4708, 10177), List(658, 5473), List(1220, 6674), List(2276, 9164), List(1459, 6690), List(1054, 8856), List(3459, 4259), List(3361, 3724), List(6002, 8294), List(3242, 6476), List(4322, 9360), List(3802, 11014), List(6773, 7390), List(11198, 11217), List(3390, 5593), List(7712, 8541), List(4474, 10131), List(7558, 8074), List(762, 5422), List(5161, 10280), List(5095, 5496), List(164, 777), List(7414, 7571), List(4473, 9125), List(3501, 9746), List(4129, 9315), List(5177, 7780), List(7860, 8789), List(2029, 11515), List(1886, 8955), List(3001, 8642), List(9501, 10020), List(3684, 5666), List(4372, 6040), List(6508, 9162), List(1709, 6814), List(721, 8400), List(6486, 10312), List(2439, 10043), List(3179, 7601), List(7726, 8947), List(1623, 4007), List(1619, 7271), List(7498, 10251), List(1670, 9488), List(4018, 4357), List(2762, 5219), List(7581, 8973), List(1573, 6522), List(5714, 10590), List(2412, 4059), List(1254, 7708), List(36, 726), List(7332, 8619), List(1198, 10782), List(3055, 4690), List(1436, 3026), List(6774, 9789), List(4119, 11205), List(3233, 6682), List(3714, 6955), List(8440, 9764), List(3989, 8880), List(1038, 9746), List(842, 5670), List(5164, 8618), List(4696, 7052), List(6447, 10333), List(6158, 10230), List(3355, 4578), List(3215, 8705), List(1061, 4253), List(1087, 3222), List(4944, 9783), List(1799, 8154), List(562, 10167), List(5066, 8433), List(5780, 7022), List(768, 10043), List(8672, 8959), List(4966, 8983), List(733, 10988), List(4681, 4835), List(3246, 3480), List(5551, 8855), List(6017, 9594), List(7706, 9745), List(7329, 9795), List(5426, 6874), List(479, 10290), List(3127, 5451), List(2874, 5005), List(1974, 3028), List(563, 2821), List(595, 11404), List(4275, 10913), List(4982, 8331), List(2592, 5292), List(7325, 10026), List(10460, 10967), List(191, 10762), List(626, 9936), List(2744, 8315), List(7596, 8045), List(6202, 8943), List(6847, 10401), List(1625, 5476), List(5978, 7737), List(2831, 4527), List(308, 1898), List(3107, 3644), List(3563, 7859), List(5472, 6064), List(2671, 4245), List(2103, 4727), List(6863, 11284), List(41, 2493), List(7950, 8169), List(10566, 10962), List(2620, 3152), List(1154, 2484), List(2499, 5077), List(1561, 6780), List(6325, 10073), List(3023, 9958), List(4114, 5087), List(7541, 10566), List(5881, 6649), List(1559, 3701), List(3238, 5416), List(2868, 6637), List(6603, 10017), List(2933, 4780), List(1770, 3921), List(3745, 6910), List(1035, 10871), List(3989, 7270), List(162, 10717), List(7161, 7312), List(1094, 11451), List(394, 9562), List(4289, 6781), List(500, 10712), List(1649, 9229), List(3729, 4872), List(8266, 9694), List(2102, 6730), List(6646, 8559), List(176, 10773), List(4839, 7598), List(5611, 10329), List(9343, 10028), List(764, 5281), List(5736, 9277), List(9189, 9561), List(2506, 4312), List(173, 1807), List(3720, 8142), List(6731, 7327), List(5722, 8066), List(4211, 8379), List(7034, 8267), List(2358, 10456), List(97, 9517), List(2762, 8065), List(6743, 10720), List(4229, 11587), List(3567, 6772), List(9246, 9664), List(6128, 9104), List(5279, 10098), List(2325, 5031), List(6273, 10956), List(5466, 9924), List(2644, 6474), List(304, 2798), List(2221, 3927), List(2666, 8707), List(7729, 7903), List(7918, 10808), List(7608, 9828), List(4019, 10437), List(8470, 9069), List(5572, 6563), List(4796, 7096), List(1969, 3302), List(10005, 11005), List(7753, 9428), List(7125, 9859), List(3897, 5721), List(3398, 4842), List(602, 2613), List(932, 8409), List(2365, 6685), List(2554, 9590), List(221, 2921), List(6296, 9977), List(2282, 11346), List(2733, 5391), List(155, 10969), List(7089, 7169), List(7969, 11123), List(2580, 7778), List(4039, 11439), List(4600, 9786), List(4254, 9149), List(5813, 5844), List(2053, 9015), List(618, 3496), List(2736, 6039), List(86, 10051), List(3052, 10971), List(3004, 6793), List(2735, 8820), List(1448, 9615), List(2348, 5176), List(2377, 4416), List(487, 1700), List(9702, 10041), List(7362, 8617), List(3600, 4545), List(3625, 5541), List(6711, 10727), List(4655, 6810), List(6055, 9110), List(7385, 10671), List(1091, 9169), List(437, 9877), List(153, 4456), List(2176, 5981), List(6095, 11168), List(4947, 9843), List(2715, 9642), List(1425, 5258), List(8962, 11328), List(459, 11329), List(7744, 8510), List(1304, 7183), List(3146, 9828), List(778, 10520), List(8930, 9538), List(6555, 9813), List(917, 2758), List(3721, 11264), List(4760, 10367), List(2286, 3493), List(2007, 4078), List(8796, 10477), List(2815, 8718), List(893, 7999), List(2627, 9421), List(2816, 3658), List(7855, 11128), List(4467, 9741), List(3084, 4412), List(4097, 4546), List(6165, 9254), List(2443, 3827), List(6696, 8890), List(9099, 10636), List(2031, 2570), List(2815, 9068), List(1874, 4838), List(867, 8656), List(6947, 9640), List(2797, 7738), List(85, 8620), List(9558, 11335), List(307, 1085), List(4413, 8350), List(7219, 11267), List(4380, 5958), List(9216, 11571), List(1295, 4380), List(4939, 7642), List(501, 6963), List(6936, 7946), List(4283, 6025), List(205, 6443), List(2505, 10720), List(5440, 9321), List(643, 9298), List(6300, 7735), List(6181, 6323), List(2752, 4181), List(665, 5115), List(6771, 7320), List(257, 2846), List(205, 3410), List(2197, 9786), List(5179, 8233), List(1997, 5968), List(417, 10648), List(285, 1861), List(7723, 8706), List(2499, 7118), List(2463, 7461), List(2094, 9284), List(4489, 6251), List(2555, 10433), List(201, 9303), List(325, 4643), List(4518, 4737), List(5225, 7073), List(1878, 7939), List(5321, 7535), List(6847, 8254), List(3207, 11527), List(6877, 9594), List(2586, 6713), List(6440, 9593), List(11365, 11491), List(3012, 8807), List(2838, 6934), List(1368, 9530), List(4131, 8613), List(4757, 7355), List(5844, 9158), List(1057, 10577), List(6866, 8654), List(2826, 8802), List(4746, 7196), List(1580, 3936), List(1105, 6861), List(7871, 11556), List(2469, 7252), List(8924, 10365), List(4903, 10563), List(8726, 9626), List(3879, 4578), List(2716, 7883), List(381, 4551), List(4897, 9994), List(4840, 9460), List(1312, 1677), List(193, 10916), List(327, 1282), List(2076, 10152), List(3680, 10784), List(6510, 7679), List(5042, 10348), List(3715, 6052), List(3835, 4656), List(2052, 8253), List(4176, 10584), List(9923, 11193), List(1251, 4003), List(9181, 10556), List(2082, 3931), List(1521, 5584), List(2486, 8710), List(1925, 6199), List(3730, 4081), List(1839, 4173), List(2243, 11204), List(52, 11034), List(4169, 10544), List(7813, 10396), List(1022, 7334), List(1177, 4993), List(6352, 10072), List(8422, 11443), List(2285, 7673), List(1459, 8089), List(994, 6040), List(148, 4326), List(112, 8052), List(2634, 11210), List(10165, 11049), List(504, 8283), List(108, 1867), List(5789, 10524), List(842, 7524), List(40, 6836), List(2924, 3994), List(7469, 8677), List(2676, 10281), List(1554, 9423), List(8178, 11059), List(8501, 9992), List(5915, 9293), List(5344, 6094), List(1058, 3557), List(63, 11142), List(8993, 10454), List(188, 9336), List(1985, 6576), List(1037, 7591), List(2105, 7432), List(2284, 2479), List(8512, 10531), List(7175, 7799), List(7197, 10032), List(5896, 6957), List(5798, 10586), List(3283, 7818), List(1196, 8752), List(948, 10902), List(4520, 6182), List(1134, 1458), List(717, 8525), List(7594, 9853), List(7623, 8339), List(1912, 7387), List(343, 5840), List(1028, 3691), List(1817, 10533), List(5304, 9647), List(6565, 9159), List(720, 9173), List(813, 5200), List(9806, 11250), List(6498, 10566), List(1708, 6052), List(2448, 4364), List(5787, 9242), List(10099, 11502), List(426, 1529), List(636, 2305), List(3266, 9692), List(3843, 5566), List(4911, 5407), List(6026, 11510), List(2414, 10415), List(5929, 11577), List(1547, 2162), List(2190, 2793), List(1384, 10277), List(3091, 7624), List(9262, 10224), List(3345, 10924), List(8350, 10896), List(2496, 9666), List(3802, 5915), List(2491, 2906), List(6545, 7729), List(3484, 10709), List(4702, 7111), List(9005, 10009), List(877, 11385), List(4764, 7989), List(2486, 5945), List(2864, 11001), List(3404, 8471), List(940, 9455), List(8810, 9541), List(250, 9008), List(470, 10472), List(3417, 6454), List(765, 971), List(4658, 7943), List(4107, 10284), List(2961, 4868), List(2801, 7619), List(9805, 10974), List(7615, 10275), List(5531, 10726), List(7582, 7883), List(9364, 10477), List(7710, 10512), List(43, 10785), List(1199, 6309), List(5347, 11548), List(1163, 4400), List(3098, 3826), List(417, 6273), List(565, 6925), List(4814, 8052), List(2774, 4668), List(7579, 10968), List(2909, 10720), List(4619, 7584), List(231, 4016), List(1093, 5509), List(6977, 9587), List(8102, 9962), List(1994, 4678), List(1536, 3046), List(4795, 6497), List(5113, 5840), List(7248, 7606), List(7161, 8361), List(6101, 9135), List(1175, 4760), List(1933, 10037), List(3149, 9776), List(1372, 5274), List(2415, 3395), List(9300, 11000), List(3352, 10135), List(4389, 8411), List(2885, 5007), List(5906, 9044), List(1862, 8292), List(2721, 3852), List(2098, 11043), List(4260, 9694), List(2013, 8461), List(5210, 11034), List(1506, 10350), List(4149, 5167), List(907, 2851), List(3463, 4839), List(875, 9729), List(5448, 10044), List(3674, 11475), List(5539, 10162), List(962, 5941), List(163, 11186), List(1691, 6316), List(3712, 4762), List(3519, 11537), List(4269, 9783), List(1029, 4130), List(6378, 11082), List(2792, 11208), List(9428, 9441), List(4910, 9587), List(1830, 6101), List(1016, 9560), List(553, 7584), List(403, 4607), List(3259, 6887), List(1172, 3657), List(10330, 11464), List(485, 2727), List(2720, 5855), List(1147, 5290), List(514, 1213), List(7148, 9953), List(6929, 8337), List(6486, 10019), List(1445, 1722), List(161, 6952), List(101, 485), List(4495, 4999), List(3559, 7529), List(386, 3098), List(8603, 8927), List(4496, 7853), List(1841, 5105), List(571, 8513), List(3393, 4793), List(1378, 3883), List(4950, 5579), List(1247, 4366), List(5761, 7484), List(3206, 9104), List(3369, 10034), List(1274, 2779), List(5668, 11457), List(1117, 2795), List(7811, 11586), List(1806, 9433), List(1930, 5527), List(2448, 7210), List(2494, 7555), List(3182, 7175), List(2206, 3890), List(2610, 10921), List(9420, 11027), List(7431, 8332), List(2636, 9890), List(1562, 6040), List(8764, 9410), List(8891, 11437), List(1577, 7102), List(2862, 8890), List(806, 809), List(1852, 9027), List(7216, 10595), List(8895, 11556), List(4573, 9362), List(5220, 6729), List(360, 722), List(8143, 10231), List(3284, 7078), List(42, 1352), List(5205, 9080), List(831, 5942), List(5919, 7669), List(951, 10208), List(581, 5013), List(5920, 10523), List(471, 7127), List(4094, 9512), List(1256, 1395), List(5987, 9466), List(384, 11265), List(1346, 7704), List(4132, 5081), List(3335, 3983), List(3049, 9813), List(4363, 10841), List(2460, 10172), List(5199, 11113), List(4263, 7227), List(9920, 11326), List(4538, 9152), List(8266, 11361), List(492, 5321), List(3420, 9167), List(2011, 2617), List(264, 5871), List(1987, 7858), List(2080, 3885), List(7604, 8394), List(6513, 7603), List(5840, 9015), List(1759, 2746), List(8660, 10884), List(8751, 11002), List(1817, 1970), List(64, 2026), List(3021, 4358), List(6171, 7085), List(70, 5978), List(5238, 6880), List(9159, 9484), List(2316, 6986), List(809, 6317), List(3584, 6915), List(1808, 7519), List(7128, 8815), List(1682, 2684), List(3082, 4984), List(10494, 10608), List(3209, 11175), List(1959, 11071), List(4884, 8984), List(1861, 1868), List(269, 9197), List(7146, 10525), List(3541, 6437), List(117, 4639), List(581, 9469), List(304, 4465), List(7716, 10089), List(1200, 3290), List(4195, 8358), List(7058, 7645), List(10408, 10460), List(2421, 3373), List(2876, 3953), List(4314, 8989), List(386, 10132), List(355, 10819), List(6210, 9241), List(2476, 6463), List(477, 3080), List(2223, 6771), List(9005, 11245), List(11297, 11497), List(6424, 10890), List(4055, 4564), List(841, 4296), List(2158, 11257), List(6700, 10007), List(5234, 9339), List(2744, 10600), List(468, 5219), List(8307, 9402), List(4523, 10267), List(1057, 8243), List(4608, 9062), List(317, 2017), List(5630, 6306), List(8845, 9428), List(55, 3737), List(2517, 2680), List(837, 7156), List(1962, 7531), List(5041, 5130), List(6500, 8791), List(5714, 7882), List(1822, 4518), List(5954, 7342), List(830, 2952), List(3381, 11012), List(5673, 11264), List(4457, 5109), List(3555, 6469), List(5029, 11162), List(3811, 4180), List(3912, 11402), List(3305, 5540), List(6794, 7733), List(7267, 8145), List(5426, 8354), List(3430, 4488), List(1852, 3579), List(6738, 8555), List(594, 10030), List(10274, 10594), List(8011, 8828), List(5549, 6475), List(3057, 5411), List(9557, 10953), List(6981, 10942), List(3702, 6115), List(2893, 3502), List(8102, 8165), List(714, 7099), List(2825, 9225), List(4131, 5474), List(3270, 9841), List(5541, 8462), List(4328, 5988), List(6532, 10557), List(10446, 11236), List(3393, 4956), List(6186, 6887), List(4156, 4191), List(960, 10888), List(4069, 4946), List(3759, 6218), List(9858, 11416), List(2819, 4842), List(291, 1869), List(4716, 5696), List(356, 6428), List(607, 10211), List(3222, 9396), List(5713, 6825), List(4963, 5573), List(5304, 11501), List(3115, 7994), List(5948, 6318), List(24, 5847), List(86, 309), List(3079, 9468), List(1923, 3364), List(6444, 9905), List(6783, 7119), List(5346, 11353), List(9709, 10138), List(7061, 8561), List(1956, 9139), List(4946, 7447), List(1732, 9431), List(2329, 7435), List(1515, 5232), List(4942, 9957), List(4880, 9079), List(3383, 9098), List(3347, 7189), List(5121, 5758), List(1108, 10735), List(421, 3389), List(9564, 10164), List(5214, 11584), List(8385, 8772), List(6802, 7519), List(322, 9045), List(2908, 7492), List(6457, 7484), List(323, 9647), List(3089, 9001), List(4639, 8616), List(8818, 9004), List(10115, 10425), List(9812, 10616), List(8757, 10980), List(65, 1660), List(9521, 9686), List(1157, 6059), List(472, 5956), List(4637, 8920), List(8830, 9014), List(1063, 10561), List(2393, 7204), List(3723, 8765), List(1046, 2286), List(340, 7722), List(206, 4524), List(1771, 5171), List(1148, 5946), List(592, 7943), List(2476, 5926), List(8742, 10298), List(1977, 9211), List(3317, 10706), List(2295, 7800), List(1677, 8919), List(741, 11449), List(7425, 8972), List(78, 2245), List(6273, 9403), List(726, 2466), List(6212, 9881), List(4401, 11430), List(2197, 7615), List(2596, 11296), List(511, 2477), List(628, 3062), List(4055, 4377), List(2563, 8904), List(10180, 10796), List(862, 1953), List(10517, 10566), List(5972, 11518), List(2520, 6174), List(9586, 10407), List(954, 1892), List(4871, 7006), List(3418, 10707), List(3946, 6662), List(7929, 10144), List(3631, 5338), List(5900, 10302), List(5311, 9907), List(7754, 10328), List(4865, 5656), List(2434, 2616), List(1597, 8535), List(5384, 7941), List(8914, 10135), List(1091, 4233), List(6794, 10929), List(4461, 8424), List(7565, 10806), List(6660, 8485), List(6140, 10139), List(2362, 3679), List(2401, 10023), List(3325, 10142), List(1563, 6672), List(5472, 7007), List(7877, 9580), List(5640, 9035), List(6318, 7967), List(1395, 10279), List(6383, 6864), List(400, 9196), List(6496, 10713), List(8118, 11140), List(3514, 3598), List(704, 3191), List(4592, 9819), List(3286, 6400), List(8339, 10550), List(110, 2452), List(6066, 8096), List(1288, 6625), List(1482, 9874), List(2910, 7806), List(2412, 6775), List(3349, 7853), List(1666, 2232), List(8316, 11505), List(972, 10711), List(2715, 3551), List(2, 1579), List(9540, 9607), List(8876, 9627), List(7475, 10108), List(246, 1158), List(4671, 4985), List(5457, 5894), List(7343, 11120), List(10054, 10767), List(2055, 8581), List(5534, 7080), List(4573, 7833), List(4069, 10020), List(6599, 10787), List(2237, 10692), List(3235, 3378), List(1948, 4173), List(1891, 3639), List(6464, 10370), List(3324, 8331), List(6376, 8271), List(8987, 9966), List(919, 9895), List(10296, 10650), List(676, 10137), List(1287, 5595), List(3136, 6001), List(1567, 8618), List(393, 7570), List(8269, 10854), List(1533, 1837), List(440, 10799), List(903, 5605), List(5178, 8707), List(1061, 2781), List(2998, 3034), List(2531, 10738), List(4895, 10304), List(5323, 8307), List(2642, 4338), List(715, 3275), List(61, 4737), List(4238, 10714), List(162, 11205), List(9424, 9566), List(2017, 5040), List(1965, 9014), List(158, 8053), List(8556, 9756), List(2324, 9132), List(5935, 10756), List(2979, 11278), List(5527, 8487), List(5785, 7025), List(3039, 4913), List(7992, 11111), List(76, 8428), List(2734, 4277), List(5530, 6506), List(234, 5604), List(1485, 8562), List(261, 1011), List(2946, 5853), List(10910, 11236), List(5373, 11403), List(79, 4912), List(6171, 8939), List(6272, 9745), List(6277, 10089), List(5050, 9437), List(6920, 10720), List(6476, 6542), List(6099, 10756), List(1381, 1392), List(1961, 3953), List(5706, 8021), List(3428, 7475), List(5570, 11166), List(3713, 10842), List(10080, 10378), List(1052, 1109), List(10733, 10943), List(1679, 7623), List(6428, 9884), List(4410, 7922), List(7144, 8519), List(588, 9461), List(2639, 6618), List(6390, 10531), List(8076, 9253), List(2916, 2954), List(1505, 8409), List(5252, 9140), List(8980, 11349), List(2067, 3948), List(3304, 8728), List(950, 1182), List(2321, 4996), List(4652, 10838), List(4394, 10048), List(725, 8419), List(1043, 7008), List(7488, 8679), List(9281, 11462), List(2492, 5817), List(593, 5267), List(684, 5385), List(10090, 11042), List(5638, 8021), List(5910, 10429), List(3546, 4447), List(1032, 6068), List(9361, 9886), List(22, 3199), List(4261, 10808), List(9902, 10964), List(2974, 5941), List(9422, 11293), List(81, 10195), List(3040, 9190), List(9516, 10928), List(4165, 7313), List(3351, 11526), List(5555, 8925), List(1885, 4442), List(8175, 8454), List(1112, 7902), List(638, 1603), List(3010, 8200), List(3185, 6511), List(5012, 8124), List(1286, 5961), List(5923, 7981), List(5611, 6174), List(1153, 6371), List(2780, 5644), List(1304, 4288), List(780, 4288), List(1396, 6506), List(6621, 10948), List(8780, 10082), List(2147, 10612), List(4506, 5670), List(7148, 7432), List(7337, 10337), List(8495, 10852), List(8245, 9923), List(2691, 8231), List(2664, 9791), List(5491, 6415), List(1611, 4566), List(8085, 11139), List(4723, 10973), List(3223, 5059), List(1409, 7091), List(2283, 3683), List(8351, 9568), List(3120, 6809), List(2060, 5331), List(7641, 11098), List(10034, 11402), List(1665, 8185), List(2152, 8303), List(4984, 5271), List(2623, 9386), List(4736, 8175), List(9870, 10247), List(7472, 9599), List(976, 10592), List(3553, 7041), List(5108, 11164), List(2310, 8108), List(2613, 5665), List(177, 2281), List(1209, 5875), List(2494, 8417), List(1455, 2898), List(1487, 8071), List(5351, 7135), List(2240, 4336), List(1431, 8139), List(5130, 5446), List(1706, 3648), List(3656, 4136), List(323, 1702), List(1947, 3710), List(1979, 8129), List(4220, 9547), List(3284, 4907), List(3535, 8690), List(6580, 7459), List(1537, 4751), List(8035, 9466), List(2689, 6949), List(3455, 6482), List(9693, 10304), List(10682, 11572), List(6513, 9620), List(1817, 10403), List(341, 2631), List(1800, 2128), List(1118, 5706), List(1266, 5604), List(7222, 11248), List(6408, 8291), List(3677, 11375), List(4546, 7623), List(1267, 2796), List(5250, 6278), List(2540, 9485), List(2149, 3413), List(2854, 11338), List(3542, 8706), List(617, 4377), List(889, 2621), List(2105, 9530), List(3571, 3782), List(4037, 8685), List(59, 6301), List(5002, 5395), List(298, 6317), List(5158, 5908), List(7700, 9718), List(575, 1872), List(4499, 7403), List(6305, 11145), List(3996, 9034), List(4175, 11251), List(8662, 9540), List(3281, 10220), List(1507, 5235), List(1586, 3838), List(7260, 9796), List(4051, 5708), List(40, 11512), List(566, 10804), List(2369, 7859), List(4821, 5360), List(8619, 9062), List(457, 2940), List(2203, 5877), List(1668, 2335), List(3753, 4738), List(3347, 4050), List(2239, 4753), List(5373, 6223), List(9041, 10633), List(1999, 4542), List(393, 8001), List(515, 6678), List(451, 11389), List(4374, 8404), List(2030, 3074), List(4681, 8332), List(686, 8253), List(2031, 3676), List(4295, 8296), List(4386, 8414), List(664, 2987), List(6512, 10818), List(5612, 8841), List(3680, 7434), List(9177, 10120), List(6594, 8938), List(4, 4634), List(1277, 4907), List(5788, 10760), List(2328, 7053), List(4353, 9405), List(6851, 7251), List(2584, 4764), List(270, 2309), List(4098, 8132), List(120, 5748), List(715, 7089), List(245, 10358), List(1673, 8290), List(4221, 6253), List(2982, 4810), List(6122, 6849), List(3446, 7388), List(2632, 10847), List(2749, 5770), List(3884, 6833), List(3010, 3825), List(6464, 6963), List(1077, 4445), List(228, 2433), List(1188, 5215), List(482, 9897), List(4204, 4744), List(324, 2895), List(7173, 8591), List(7603, 8175), List(8657, 9838), List(4961, 10550), List(8834, 8976), List(4, 446), List(597, 7376), List(954, 5169), List(305, 559), List(8188, 11430), List(8556, 9382), List(3162, 9857), List(63, 4409), List(1892, 2685), List(638, 9255), List(6149, 7867), List(8635, 11368), List(2195, 3625), List(1018, 3060), List(5185, 8349), List(3156, 8507), List(1095, 4246), List(1943, 6033), List(2779, 6305), List(7228, 11280), List(762, 8732), List(7926, 9336), List(2840, 9964), List(1728, 8296), List(9899, 10774), List(2748, 3959), List(6829, 7976), List(8969, 10840), List(2900, 4730), List(4271, 8544), List(129, 10667), List(4198, 6753), List(1304, 2491), List(6591, 7811), List(55, 9405), List(294, 5257), List(2878, 9293), List(545, 2624), List(1141, 7573), List(6151, 10141), List(4525, 5054), List(2257, 10114), List(1942, 11042), List(201, 2033), List(4631, 6204), List(2635, 8754), List(1694, 10940), List(7801, 10337), List(353, 2804), List(8045, 10697), List(2468, 7301), List(5973, 7775), List(6547, 10491), List(3966, 10136), List(4520, 11476), List(6977, 10075), List(538, 5186), List(161, 9400), List(7191, 7560), List(1310, 1501), List(2929, 3165), List(1803, 11233), List(3264, 5141), List(5750, 8642), List(1454, 4663), List(5127, 9417), List(9418, 10046), List(8179, 8603), List(7403, 9136), List(3609, 6307), List(5780, 9982), List(1458, 7788), List(5682, 7195), List(4448, 6096), List(3018, 11501), List(2884, 9057), List(6466, 11441), List(2165, 9370), List(487, 4847), List(3172, 8935), List(493, 8045), List(10388, 10483), List(4414, 10649), List(5119, 11404), List(5238, 6400), List(3371, 5388), List(86, 7132), List(6770, 11071), List(3250, 7313), List(2668, 10341), List(9476, 10374), List(9295, 11494), List(1938, 6331), List(1625, 1670), List(2555, 5741), List(500, 11094), List(4696, 9207), List(4742, 9552), List(2863, 7025), List(5139, 6744), List(306, 4812), List(3045, 6507), List(1310, 7112), List(2010, 8277), List(8059, 9194), List(9580, 10323), List(4886, 5517), List(8342, 9482), List(1735, 8981), List(7337, 9963), List(3626, 8889), List(10174, 11439), List(4811, 9315), List(2819, 2939), List(9086, 10165), List(6901, 10564), List(3570, 4793), List(9141, 9872), List(5564, 5580), List(1538, 5434), List(710, 5777), List(6582, 7586), List(3464, 7026), List(6335, 11092), List(1284, 1353), List(9048, 10812), List(4342, 10907), List(734, 886), List(2062, 8036), List(3865, 5091), List(948, 11203), List(4391, 10799), List(593, 6316), List(880, 9756), List(3497, 9768), List(8125, 9790), List(4331, 9967), List(8161, 10201), List(600, 10870), List(8401, 8907), List(8060, 8614), List(154, 203), List(2461, 5651), List(995, 4983), List(4485, 10784), List(2892, 8089), List(3941, 9408), List(5247, 5657), List(7996, 8040), List(357, 3945), List(1914, 3977), List(7607, 10739), List(9112, 10581), List(7519, 8640), List(1392, 5558), List(3883, 8649), List(3164, 3300), List(5655, 7145), List(1202, 11096), List(292, 2015), List(6527, 7074), List(173, 4767), List(737, 6795), List(1261, 5260), List(4740, 6765), List(316, 9956), List(2346, 6236), List(233, 1785), List(1506, 2812), List(9102, 10243), List(3622, 10944), List(821, 2709), List(45, 2488), List(9248, 9314), List(3307, 5456), List(1307, 11270), List(10622, 11147), List(27, 404), List(3273, 10009), List(1210, 11337), List(3111, 11179), List(5914, 8163), List(2588, 3490), List(4707, 11139), List(3771, 7253), List(407, 10424), List(8590, 11007), List(7714, 11336), List(4321, 4687), List(9141, 11295), List(180, 10418), List(7212, 9405), List(9018, 10141), List(2659, 10496), List(1645, 4445), List(4685, 9286), List(4377, 4969), List(908, 3428), List(1532, 6261), List(1385, 6965), List(2094, 5210), List(4648, 6371), List(4579, 8486), List(4424, 11581), List(2127, 4569), List(2999, 6750), List(5707, 6126), List(191, 1508), List(5137, 6535), List(1098, 10291), List(2640, 9291), List(804, 9090), List(3587, 10303), List(2080, 9634), List(4043, 11108), List(3759, 11349), List(5781, 7768), List(3506, 10903), List(801, 8792), List(1367, 5231), List(1919, 5744), List(4324, 8317), List(2292, 11210), List(1048, 2253), List(304, 11369), List(1297, 10127), List(1171, 4538), List(3447, 4257), List(945, 8921), List(3854, 8553), List(2316, 9702), List(9126, 9808), List(3957, 8681), List(3518, 11263), List(686, 1463), List(756, 2202), List(2901, 9574), List(4807, 9760), List(685, 3490), List(122, 8480), List(4014, 9565), List(3982, 10027), List(2480, 9702), List(54, 7006), List(4841, 5587), List(3104, 9529), List(2013, 10990), List(9487, 10322), List(728, 6196), List(1366, 7207), List(7493, 8037), List(1486, 11473), List(6338, 11203), List(2317, 4985), List(4842, 5408), List(3591, 8866), List(5365, 7435), List(1729, 1782), List(3618, 4273), List(5899, 11506), List(6892, 9510), List(3583, 8224), List(7980, 10003), List(5606, 7497), List(33, 8007), List(2001, 7573), List(3117, 3698), List(1002, 11252), List(5007, 5633), List(3451, 6203), List(3413, 9883), List(11363, 11396), List(3582, 8349), List(7587, 9146), List(2981, 7193), List(1393, 4842), List(5840, 6738), List(19, 730), List(146, 2757), List(8461, 9121), List(982, 3029), List(8382, 10548), List(2687, 2959), List(9567, 10974), List(6802, 8812), List(826, 5899), List(6822, 9464), List(7511, 10440), List(7108, 9269), List(8462, 8972), List(1039, 10329), List(3621, 7122), List(784, 2640), List(1214, 8640), List(8440, 10122), List(1771, 9497), List(6721, 9762), List(6531, 8884), List(4855, 5188), List(500, 6264), List(6195, 7437), List(3915, 10228), List(4156, 6907), List(4870, 5496), List(3727, 10931), List(6996, 8654), List(2051, 2317), List(7522, 7946), List(6584, 9649), List(2007, 5428), List(1761, 1989), List(1943, 7887), List(3813, 9170), List(1573, 2692), List(8489, 10364), List(2003, 2276), List(886, 5926), List(5123, 6292), List(101, 2209), List(3003, 7086), List(10024, 11576), List(4554, 7303), List(7293, 8244), List(5832, 7920), List(5233, 9089), List(2562, 10726), List(561, 6516), List(5199, 7226), List(7819, 10919), List(30, 10263), List(157, 11536), List(2399, 6009), List(1929, 9278), List(6165, 10954), List(3204, 4716), List(8398, 9845), List(5636, 10610), List(5820, 6755), List(1049, 6455), List(61, 8795), List(10295, 10699), List(518, 6038), List(3194, 5876), List(2158, 4792), List(647, 5105), List(8544, 9266), List(860, 6152), List(7018, 8547), List(137, 9729), List(8535, 11432), List(4277, 4527), List(5419, 8289), List(1979, 5958), List(2524, 3802), List(5925, 10312), List(5261, 10332), List(7009, 7680), List(3365, 4418), List(5116, 7699), List(2786, 11127), List(2331, 3407), List(7043, 7264), List(6286, 11257), List(5766, 8747), List(3997, 11276), List(2588, 4726), List(7247, 10477), List(1798, 6327), List(400, 10489), List(1465, 3643), List(7008, 7428), List(6380, 7859), List(4666, 7089), List(3668, 8741), List(4192, 7206), List(4942, 5452), List(4971, 11108), List(3197, 6123), List(3320, 10660), List(1298, 5573), List(849, 7467), List(5267, 10877), List(9009, 11264), List(1825, 7719), List(1154, 5070), List(7454, 10524), List(1527, 10536), List(8224, 10176), List(3021, 9465), List(1772, 7334), List(2086, 9187), List(2370, 2530), List(4054, 4589), List(2053, 6795), List(3080, 3629), List(1055, 1277), List(3293, 11092), List(4738, 10883), List(1956, 6862), List(649, 3972), List(1242, 10902), List(392, 1872), List(4598, 7089), List(5035, 7844), List(608, 938), List(4121, 7689), List(888, 3207), List(6684, 10848), List(478, 5029), List(2940, 3218), List(489, 2155), List(3677, 6894), List(4680, 6340), List(7388, 7968), List(113, 9977), List(3551, 8475), List(3287, 10846), List(4922, 5873), List(2491, 2833), List(902, 3263), List(3677, 3861), List(2089, 2264), List(712, 887), List(2026, 3413), List(5515, 9770), List(971, 8695), List(8469, 9175), List(1741, 4183), List(6161, 7666), List(4108, 9682), List(3258, 11232), List(9863, 10906), List(4221, 7115), List(3608, 8578), List(614, 6364), List(3164, 5154), List(7157, 9324), List(7145, 7809), List(4531, 11478), List(2007, 5241), List(2793, 6150), List(2817, 4292), List(2378, 7628), List(2312, 9260), List(579, 10692), List(9189, 11342), List(1261, 4081), List(8172, 11409), List(1911, 5883), List(10159, 11025), List(5701, 8970), List(2215, 6294), List(6038, 7609), List(1282, 8341), List(5814, 6403), List(5757, 5869), List(526, 9526), List(8179, 11075), List(3264, 10996), List(186, 3419), List(4855, 10612), List(2570, 6643), List(1417, 10636), List(2547, 11355), List(178, 2777), List(1552, 3856), List(6896, 9710), List(2350, 7808), List(543, 6847), List(5488, 6768), List(1914, 8409), List(1664, 1818), List(6309, 10115), List(3783, 9467), List(1347, 6083), List(5798, 11131), List(7950, 8340), List(7728, 10213), List(6427, 7138), List(1159, 6032), List(2033, 2624), List(4488, 4560), List(1777, 1880), List(5472, 8113), List(4398, 5017), List(7135, 9295), List(6371, 6455), List(7460, 11337), List(467, 5108), List(10327, 10743), List(7304, 10043), List(11201, 11499), List(8176, 9972), List(9296, 10003), List(7241, 8940), List(7889, 9915), List(8773, 11359), List(7307, 10691), List(10375, 10410), List(576, 2018), List(1138, 7383), List(9166, 11061), List(355, 6745), List(3832, 5171), List(2006, 10576), List(1755, 6793), List(5115, 6886), List(6142, 10136), List(7572, 8895), List(3334, 11310), List(7501, 10183), List(4557, 5804), List(2220, 8061), List(6294, 10907), List(7510, 11400), List(1968, 11223), List(3084, 7348), List(3049, 4129), List(1108, 4888), List(2652, 11074), List(4200, 6856), List(9795, 10077), List(6989, 7914), List(2264, 3795), List(2286, 5274), List(1945, 11397), List(2516, 8180), List(458, 9852), List(7710, 11057), List(3903, 9494), List(2499, 9704), List(193, 11274), List(631, 10719), List(731, 2255), List(5586, 11328), List(4768, 5219), List(9432, 11314), List(10015, 11140), List(1152, 6634), List(6837, 7119), List(8029, 8716), List(596, 9385), List(31, 7132), List(3011, 7004), List(1178, 11238), List(1706, 4941), List(1701, 4597), List(188, 4083), List(4510, 7031), List(2208, 6091), List(43, 7142), List(5466, 5907), List(6087, 8469), List(9357, 9800), List(4558, 6698), List(5404, 8412), List(4719, 7555), List(2847, 6199), List(1627, 8970), List(1697, 7457), List(3402, 3977), List(1540, 3309), List(449, 8934), List(594, 5151), List(1221, 10911), List(2557, 10008), List(5105, 7217), List(745, 7949), List(8152, 9065), List(7443, 7814), List(3601, 3813), List(6875, 9050), List(992, 2164), List(1745, 7097), List(626, 9920), List(10762, 11289), List(3570, 4850), List(3250, 9598), List(5870, 9127), List(7554, 11186), List(1236, 11542), List(3323, 8356), List(6637, 11514), List(3655, 10815), List(3846, 3967), List(7951, 8378), List(6368, 7125), List(7760, 8810), List(790, 4285), List(8668, 11402), List(2035, 3264), List(2310, 7441), List(1133, 11040), List(3719, 5323), List(7011, 10385), List(2458, 11476), List(8125, 9847), List(2831, 3356), List(5265, 10831), List(6013, 9004), List(3267, 3886), List(3518, 7669), List(6632, 10739), List(2709, 5810), List(646, 7138), List(9887, 10284), List(80, 2031), List(9983, 10746), List(2426, 8905), List(6710, 9117), List(4289, 6765), List(980, 9643), List(3356, 6560), List(2198, 10209), List(641, 3761), List(1640, 11379), List(4976, 11078), List(5494, 6345), List(8607, 9190), List(1074, 9655), List(9195, 9360), List(1979, 11195), List(5608, 10015), List(3029, 4071), List(1193, 4624), List(2067, 7632), List(594, 9957), List(1344, 4039), List(5167, 9518), List(6852, 8769), List(8815, 10243), List(23, 10141), List(1339, 7078), List(2829, 5888), List(1118, 5389), List(3144, 10595), List(2702, 10250), List(2353, 2926), List(1490, 4214), List(5374, 6936), List(448, 8977), List(2605, 7284), List(7297, 9011), List(304, 9198), List(4163, 10924), List(4650, 10288), List(5334, 10920), List(131, 3793), List(8790, 10721), List(4247, 6084), List(2523, 11042), List(6912, 11048), List(1010, 10528), List(6977, 9945), List(2584, 8285), List(2708, 3625), List(8346, 10680), List(1744, 10523), List(7594, 8601), List(2274, 7305), List(7807, 9648), List(651, 2489), List(1399, 7078), List(4986, 9806), List(5729, 7635), List(5195, 6947), List(8803, 11306), List(840, 8777), List(6248, 9139), List(5615, 9226), List(1072, 11005), List(7171, 9787), List(1388, 6515), List(5467, 5541), List(7201, 11127), List(3302, 6592), List(1440, 5924), List(688, 10261), List(11047, 11113), List(539, 10892), List(412, 2449), List(5852, 8765), List(4979, 8611), List(436, 10390), List(6074, 10275), List(2184, 3574), List(1895, 3471), List(2275, 2938), List(10363, 10831), List(6810, 6933), List(3360, 4668), List(1615, 11001), List(6498, 11542), List(648, 5550), List(4543, 8431), List(4911, 6383), List(1477, 4651), List(4544, 11285), List(3071, 7948), List(772, 6525), List(7792, 10413), List(6763, 9746), List(1572, 4888), List(890, 4302), List(1941, 5694), List(5451, 6512), List(8850, 9943), List(4120, 5480), List(3337, 11258), List(5522, 8607), List(4839, 5167), List(1847, 3780), List(6356, 8052), List(10378, 11462), List(1772, 7578), List(6914, 10265), List(2272, 7901), List(1282, 7162), List(2531, 10047), List(9052, 10050), List(1836, 2086), List(2328, 8964), List(2919, 8651), List(501, 3564), List(6308, 11394), List(6031, 6390), List(6287, 10517), List(3906, 6840), List(7770, 8156), List(5712, 10582), List(2355, 10006), List(2325, 5633), List(5272, 7277), List(2474, 8385), List(645, 3693), List(3759, 6763), List(6641, 8012), List(3367, 3529), List(165, 612), List(10725, 11546), List(1379, 3688), List(8562, 9260), List(1227, 6300), List(317, 3635), List(1011, 11371), List(1994, 2271), List(3337, 10453), List(6298, 10275), List(4512, 7939), List(7533, 7812), List(4207, 7303), List(6920, 10029), List(41, 11284), List(1996, 8733), List(3833, 4618), List(3741, 11445), List(1150, 3986), List(4102, 6728), List(6281, 8766), List(4904, 10799), List(4226, 7703), List(2168, 9375), List(7894, 9861), List(3859, 6189), List(3477, 10059), List(3873, 10059), List(2355, 2785), List(2201, 8734), List(7108, 8171), List(4124, 4393), List(2374, 10382), List(1541, 10381), List(9471, 10518), List(6021, 7499), List(2845, 3551), List(2525, 4135), List(1783, 9914), List(446, 4930), List(2841, 6061), List(8699, 11170), List(1717, 11546), List(260, 6460), List(2870, 5301), List(3768, 6451), List(5705, 8956), List(1534, 3925), List(620, 10186), List(7435, 10636), List(8257, 11202), List(1662, 8806), List(1378, 2631), List(32, 6229), List(3669, 9074), List(2153, 9043), List(2855, 6117), List(3192, 3258), List(3350, 3844), List(4444, 9070), List(5445, 7689), List(7460, 9353), List(6494, 9008), List(5152, 10096), List(4911, 7001), List(9386, 10945), List(8696, 9744), List(6779, 9369), List(2918, 7570), List(3441, 9597), List(4664, 10507), List(5779, 10194), List(542, 4237), List(555, 8606), List(6553, 7336), List(7456, 8830), List(1283, 5403), List(200, 10135), List(3681, 6051), List(5561, 5770), List(6608, 10426), List(10756, 11501), List(3712, 10999), List(5983, 10374), List(1435, 5393), List(6538, 8152), List(781, 6855), List(794, 11224), List(815, 9849), List(1092, 8437), List(6785, 8783), List(138, 9607), List(3736, 6108), List(6781, 11293), List(4826, 8182), List(2857, 8391), List(3604, 3710), List(6635, 8435), List(7036, 9533), List(8252, 9272), List(6714, 10421), List(3218, 7057), List(2194, 6734), List(5254, 6535), List(170, 1574), List(773, 9192), List(663, 11306), List(3673, 4604), List(4390, 6874), List(8094, 10941), List(5236, 8588), List(403, 6656), List(1225, 7222), List(1244, 7272), List(7563, 10524), List(376, 8216), List(8588, 11449), List(5074, 6725), List(10025, 10598), List(4478, 10077), List(4877, 9594), List(5037, 5345), List(5539, 6495), List(1433, 10527), List(3316, 9039), List(169, 9993), List(3768, 7069), List(2004, 2772), List(3554, 8049), List(1651, 11544), List(4767, 9025), List(852, 3957), List(186, 7314), List(866, 1411), List(5292, 8092), List(681, 877), List(7002, 11372), List(1553, 7976), List(5826, 7999), List(1335, 9968), List(557, 6668), List(1458, 8089), List(5744, 8374), List(1322, 1812), List(7670, 9966), List(1952, 5591), List(3166, 5257), List(693, 8407), List(3463, 8661), List(287, 549), List(3715, 8882), List(1535, 9625), List(2474, 10776), List(1313, 4328), List(5208, 7963), List(2190, 5355), List(6412, 10351), List(8555, 10480), List(6188, 8364), List(3923, 9935), List(5745, 7794), List(4235, 10961), List(6506, 10336), List(1541, 2623), List(642, 1248), List(5533, 6568), List(1257, 6247), List(2855, 6280), List(2259, 5468), List(203, 1551), List(822, 9702), List(4464, 6475), List(288, 9768), List(1657, 10503), List(5105, 9689), List(809, 2300), List(9688, 10692), List(2625, 10140), List(1942, 6700), List(4293, 6778), List(5468, 11434), List(5755, 10710), List(2135, 2584), List(3139, 11300), List(2335, 9785), List(6867, 7093), List(2450, 7291), List(7369, 8243), List(6183, 9844), List(7559, 7586), List(9675, 10056), List(1012, 5638), List(927, 3056), List(2632, 10156), List(4838, 4972), List(7264, 7668), List(165, 1043), List(140, 9092), List(5675, 8098), List(9413, 10995), List(1416, 3220), List(2128, 11562), List(387, 2553), List(662, 10894), List(1347, 5335), List(15, 695), List(7358, 10686), List(8134, 10153), List(8499, 8588), List(4897, 8181), List(5632, 8401), List(4302, 4588), List(8914, 10493), List(2611, 4741), List(2581, 9036), List(6745, 8392), List(2118, 4808), List(1421, 9606), List(8458, 8937), List(4258, 7672), List(6348, 10419), List(4946, 5040), List(987, 6870), List(832, 2795), List(2235, 3114), List(4060, 10316), List(710, 1085), List(7673, 8603), List(3536, 4654), List(9542, 9661), List(1142, 10541), List(5839, 6196), List(538, 4950), List(2604, 7303), List(4583, 9310), List(4068, 7144), List(3600, 5578), List(1129, 3139), List(2808, 11270), List(3488, 4613), List(3468, 6590), List(1493, 3601), List(2582, 8483), List(3583, 7102), List(3500, 5347), List(1339, 3134), List(962, 7348), List(1342, 7569), List(1224, 9011), List(8061, 10940), List(408, 2975), List(5506, 6144), List(2173, 3710), List(6713, 8049), List(2368, 10567), List(7215, 9199), List(4691, 10132), List(4849, 6554), List(6062, 6776), List(7751, 9179), List(6777, 8973), List(7548, 8850), List(3076, 9341), List(9130, 10632), List(3497, 3921), List(1354, 7929), List(175, 6537), List(7234, 7347), List(3588, 7422), List(4830, 8382), List(4142, 4598), List(4702, 9136), List(3714, 9224), List(9438, 11135), List(8753, 11032), List(1489, 6060), List(9625, 10961), List(3648, 4440), List(7595, 8265), List(1277, 7867), List(1308, 7180), List(1524, 7744), List(3384, 6087), List(5691, 7371), List(9827, 11095), List(4111, 9799), List(2743, 5502), List(6781, 8691), List(3603, 3916), List(581, 6070), List(1711, 10953), List(1138, 11091), List(2609, 5687), List(2769, 3690), List(6305, 9112), List(5113, 7515), List(5592, 6961), List(1722, 5076), List(4622, 6874), List(8230, 11233), List(28, 1548), List(3639, 8834), List(1989, 6359), List(6574, 8189), List(7436, 8928), List(4554, 6181), List(4700, 5252), List(1245, 4895), List(8414, 10007), List(188, 8596), List(2738, 7386), List(2675, 6283), List(7157, 7234), List(519, 11584), List(6632, 10796), List(7563, 7922), List(3363, 10821), List(1367, 6955), List(3612, 7361), List(553, 10414), List(6876, 11156), List(1769, 10907), List(6185, 6320), List(3516, 10282), List(3467, 4004), List(1259, 9115), List(1383, 4455), List(2009, 3197), List(734, 6261), List(361, 7211), List(8581, 11059), List(7058, 9857), List(1481, 10625), List(2668, 5462), List(3351, 9656), List(9344, 9540), List(8289, 10658), List(321, 7031), List(1792, 2381), List(7390, 9283), List(3188, 11355), List(1246, 4342), List(2276, 7863), List(2033, 8105), List(5455, 6824), List(2930, 3368), List(192, 5281), List(3542, 8096), List(1861, 6308), List(6561, 7896), List(5850, 6572), List(394, 5415), List(3549, 8486), List(4358, 4683), List(2675, 5478), List(5256, 5833), List(887, 2315), List(2672, 5180), List(7207, 9175), List(8865, 10013), List(73, 9911), List(1444, 7309), List(301, 5574), List(817, 10594), List(517, 3886), List(1251, 10297), List(2777, 11016), List(5920, 10320), List(10503, 11323), List(2807, 4442), List(1118, 7674), List(7995, 9002), List(5789, 8524), List(1527, 6381), List(6009, 6578), List(7590, 11168), List(252, 2275), List(706, 2253), List(7741, 11337), List(1454, 11006), List(1543, 3127), List(1288, 2608), List(1585, 6736), List(5083, 6039), List(2383, 4272), List(175, 9383), List(3232, 9667), List(2914, 3908), List(2783, 11561), List(2721, 10683), List(6959, 8268), List(1858, 11217), List(5246, 11106), List(6765, 10654), List(1375, 1449), List(3160, 10730), List(7580, 10049), List(5260, 7779), List(8410, 10506), List(417, 9266), List(340, 940), List(6439, 8390), List(2961, 3323), List(937, 8743), List(443, 7454), List(2836, 7758), List(9147, 11149), List(9481, 10271), List(4037, 6465), List(207, 3979), List(5785, 10229), List(4260, 8954), List(5748, 11101), List(9975, 10025), List(235, 2994), List(6339, 10788), List(3099, 5135), List(702, 7341), List(8355, 8890), List(4086, 9740), List(8604, 10348), List(3158, 9879), List(8638, 9178), List(4255, 8206), List(3025, 10289), List(6483, 10917), List(6391, 11328), List(2090, 2841), List(5949, 10983), List(3218, 7651), List(601, 7639), List(5396, 6081), List(4558, 9146), List(1165, 3251), List(38, 2049), List(6756, 8982), List(256, 1188), List(6379, 6780), List(2218, 11105), List(4574, 6646), List(8088, 10589), List(4392, 10547), List(3010, 8826), List(1045, 10689), List(9699, 10857), List(979, 5905), List(2909, 4987), List(1699, 8446), List(4500, 4603), List(8230, 9891), List(7767, 7915), List(3574, 7821), List(7083, 10666), List(5994, 10702), List(2200, 3709), List(2814, 11516), List(2602, 7661), List(5706, 7037), List(1936, 11018), List(8945, 9055), List(3157, 5439), List(4960, 8910), List(5335, 8033), List(1690, 10962), List(1814, 7056), List(5267, 7340), List(3393, 10819), List(1404, 2462), List(2183, 2200), List(4320, 4793), List(3920, 7303), List(1517, 2524), List(2265, 7113), List(4792, 10615), List(9212, 9934), List(4257, 7073), List(210, 6804), List(1972, 3858), List(3695, 11507), List(3654, 5090), List(3066, 5297), List(5619, 10020), List(5679, 10825), List(827, 4679), List(2102, 5779), List(7241, 11201), List(6300, 6971), List(4426, 11204), List(10936, 11018), List(2715, 9951), List(8821, 9904), List(4738, 9224), List(1397, 3519), List(8618, 8794), List(1424, 4561), List(7965, 10858), List(4942, 9404), List(96, 7210), List(955, 2770), List(5629, 10307), List(742, 11522), List(3108, 7751), List(4684, 8587), List(9102, 11243), List(8136, 8646), List(4337, 7725), List(2162, 2396), List(2757, 3737), List(76, 6184), List(1284, 1898), List(6015, 9969), List(9442, 10530), List(4528, 8424), List(2871, 10440), List(4084, 6498), List(3846, 7838), List(6909, 7213), List(7063, 11063), List(6662, 10719), List(6760, 7090), List(6127, 7177), List(4799, 9826), List(1869, 5153), List(406, 8166), List(1457, 6148), List(1617, 8315), List(3329, 5252), List(2587, 11031), List(5691, 6997), List(3457, 10887), List(4345, 10595), List(8648, 9329), List(5441, 6068), List(3546, 9424), List(2263, 4676), List(1726, 5225), List(2818, 3208), List(3711, 4014), List(5581, 8707), List(4612, 8845), List(1697, 9368), List(6960, 10130), List(4489, 9943), List(514, 11240), List(6359, 8974), List(6674, 8046), List(1787, 5097), List(9285, 9741), List(9777, 10203), List(3026, 4261), List(4232, 9728), List(3901, 10123), List(1150, 11077), List(928, 6534), List(8180, 9991), List(7336, 8323), List(2052, 6684), List(1264, 5702), List(9111, 10500), List(1174, 2776), List(7894, 10536), List(5026, 6741), List(7178, 11120), List(4819, 9646), List(4196, 10421), List(6149, 10453), List(1354, 5595), List(7466, 10998), List(2157, 3475), List(2936, 3213), List(960, 11303), List(3911, 10437), List(943, 3028), List(3716, 9969), List(2591, 3178), List(15, 3167), List(2224, 8080), List(8258, 8719), List(40, 11333), List(1095, 3799), List(3992, 8332), List(3746, 5647), List(4463, 7917), List(874, 8526), List(4709, 4940), List(7532, 11244), List(3089, 10221), List(97, 8834), List(5755, 5961), List(1393, 10030), List(2867, 8307), List(10205, 11538), List(1893, 8101), List(3973, 10160), List(1895, 8147), List(771, 10626), List(4381, 5232), List(7751, 9423), List(740, 9061), List(10485, 10774), List(8737, 11174), List(1509, 1695), List(3537, 3564), List(3100, 7727), List(5216, 5279), List(6521, 8473), List(1173, 11545), List(2094, 7983), List(4179, 10386), List(2849, 7327), List(1531, 8809), List(2439, 4985), List(381, 10821), List(1499, 10025), List(716, 6381), List(2099, 5294), List(6206, 6368), List(9561, 10281), List(4081, 10982), List(1187, 5966), List(2425, 10190), List(3963, 6008), List(8182, 11487), List(7591, 11019), List(5920, 6913), List(7964, 9315), List(2181, 10961), List(268, 2434), List(740, 11289), List(8549, 9187), List(6830, 8827), List(1853, 7116), List(581, 9697), List(6364, 6553), List(9541, 11103), List(5085, 5711), List(1819, 5253), List(8608, 10898), List(7541, 10501), List(5292, 6189), List(4300, 11039), List(723, 2583), List(2280, 3369), List(4854, 5963), List(750, 11576), List(6548, 9464), List(1744, 6018), List(3609, 11121), List(348, 11007), List(8469, 10712), List(2461, 9042), List(5668, 5887), List(4073, 9535), List(1117, 10057), List(494, 10832), List(3799, 10464), List(2894, 8143), List(3455, 10654), List(253, 1321), List(5172, 8689), List(6966, 10162), List(1950, 9277), List(7994, 8352), List(2956, 5988), List(3504, 9011), List(5446, 9608), List(1847, 9529), List(2881, 3370), List(8837, 9014), List(2194, 6604), List(6674, 10892), List(5151, 9690), List(6147, 7211), List(2186, 5962), List(2380, 9211), List(7514, 11283), List(3596, 8950), List(5914, 8171), List(6613, 9835), List(7384, 9712), List(1441, 4273), List(661, 11480), List(1550, 8380), List(4662, 8371), List(0, 2322), List(3009, 4844), List(2486, 3571), List(871, 9196), List(1151, 11465), List(2722, 4787), List(2471, 4387), List(6390, 10328), List(3969, 7976), List(2775, 5552), List(9908, 11007), List(2195, 2991), List(7234, 8209), List(5238, 10759), List(2097, 11501), List(222, 10628), List(2066, 9936), List(2375, 11445), List(32, 3334), List(200, 5362), List(4427, 11456), List(819, 1435), List(3395, 4075), List(2884, 5845), List(1369, 8668), List(1983, 3643), List(5587, 10512), List(4164, 6508), List(6123, 8240), List(3747, 4907), List(8664, 11448), List(948, 8796), List(3534, 7243), List(7673, 11238), List(2441, 5625), List(512, 9397), List(4080, 10193), List(9496, 11197), List(1585, 2442), List(4730, 4825), List(11185, 11348), List(3964, 10210), List(7410, 8569), List(371, 9165), List(5142, 7213), List(1064, 6877), List(1095, 6190), List(9669, 9812), List(5629, 6550), List(10611, 11234), List(7794, 8158), List(1694, 2735), List(1614, 11077), List(112, 10752), List(8412, 10422), List(4805, 9671), List(3585, 6026), List(2685, 4049), List(818, 8699), List(1506, 6821), List(7333, 9611), List(5862, 8599), List(8386, 8420), List(3403, 9927), List(784, 6836), List(968, 9397), List(5456, 10540), List(2501, 8254), List(5013, 9970), List(1969, 8393), List(472, 8412), List(3703, 9815), List(3046, 5344), List(5981, 10361), List(3673, 5442), List(4793, 5473), List(8955, 10418), List(6123, 6280), List(6651, 8651), List(8609, 9781), List(1582, 11138), List(5448, 6865), List(4448, 7690), List(5152, 5591), List(3722, 4580), List(3780, 8722), List(897, 8002), List(6869, 7009), List(1788, 5729), List(3812, 10108), List(3504, 5791), List(4837, 11033), List(2994, 10415), List(2491, 9794), List(2685, 6627), List(3399, 5216), List(6229, 6275), List(6597, 10643), List(3374, 6849), List(7691, 9453), List(318, 10173), List(6132, 6342), List(6787, 7734), List(3518, 3595), List(1271, 3116), List(6933, 7559), List(1654, 2100), List(5138, 8113), List(1647, 11509), List(2358, 7171), List(869, 11215), List(4966, 9349), List(2674, 2681), List(26, 1104), List(2763, 8388), List(2045, 5139), List(9230, 11538), List(9106, 9782), List(4401, 6315), List(3323, 9893), List(9224, 10188), List(421, 10651), List(227, 986), List(5402, 6065), List(6773, 9879), List(3129, 10027), List(6575, 9140), List(1566, 5262), List(7096, 8088), List(5697, 8642), List(3933, 10761), List(6791, 7452), List(2835, 8799), List(1035, 2593), List(7561, 9356), List(1279, 9369), List(5878, 10905), List(10391, 10415), List(10050, 10122), List(98, 4898), List(5858, 6466), List(6694, 6738), List(6377, 11003), List(467, 6458), List(2955, 4370), List(2765, 9908), List(432, 7403), List(1330, 2137), List(7470, 10342), List(8399, 10805), List(1985, 4283), List(6215, 7642), List(5432, 6250), List(7049, 7087), List(3260, 11018), List(3786, 3894), List(7074, 8837), List(1754, 7541), List(539, 4240), List(172, 6890), List(3558, 7450), List(1040, 5165), List(3429, 8733), List(6858, 7869), List(4291, 7974), List(7014, 8382), List(1679, 1890), List(8318, 10974), List(7685, 11061), List(35, 6777), List(1401, 3077), List(933, 1511), List(1779, 2471), List(7001, 7396), List(1521, 1681), List(9051, 10744), List(2268, 9051), List(1205, 3138), List(5998, 11333), List(298, 4154), List(1648, 7091), List(5836, 6841), List(3661, 7928), List(2050, 3873), List(6368, 10085), List(739, 10663), List(4800, 9140), List(1570, 10591), List(7014, 7227), List(4428, 6528), List(6487, 8464), List(2817, 3227), List(1136, 1439), List(1318, 6583), List(4807, 8776), List(4397, 10598), List(6072, 9161), List(6514, 9506), List(7136, 9260), List(2714, 9114), List(7124, 7745), List(8550, 9014), List(5692, 5907), List(9453, 10508), List(4580, 10655), List(4172, 8386), List(2801, 5326), List(143, 2307), List(9640, 10334), List(9645, 10678), List(1672, 7461), List(180, 7824), List(1491, 4417), List(3767, 4136), List(3665, 3859), List(857, 11449), List(1605, 9622), List(2134, 8431), List(10284, 10786), List(7077, 7525), List(2999, 7189), List(1192, 10392), List(1343, 10561), List(4801, 11189), List(412, 603), List(2678, 6050), List(7411, 10030), List(4176, 4721), List(8009, 10888), List(7, 2769), List(8221, 9081), List(41, 8015), List(1691, 4828), List(5330, 7746), List(3360, 5855), List(5760, 7330), List(3925, 10737), List(5785, 8326), List(2772, 8314), List(2084, 4530), List(8183, 9728), List(96, 4689), List(215, 439), List(2828, 9377), List(5634, 8130), List(4106, 10748), List(424, 3996), List(3949, 5846), List(6060, 10224), List(5098, 10779), List(5535, 11534), List(1731, 3853), List(9022, 10648), List(5591, 7679), List(90, 8257), List(9706, 11280), List(10821, 10967), List(6593, 7654), List(9568, 11346), List(5559, 6643), List(5567, 6504), List(393, 11449), List(235, 1441), List(3383, 9757), List(580, 4859), List(5607, 8562), List(3320, 9408), List(543, 11393), List(6548, 7130), List(6541, 10123), List(1873, 6538), List(2313, 6810), List(1382, 2514), List(4773, 8336), List(6387, 9656), List(6113, 10585), List(4427, 7699), List(7104, 7762), List(1091, 6502), List(7531, 7829), List(5521, 6509), List(4045, 5153), List(1278, 8580), List(9566, 10869), List(3300, 4245), List(378, 4351), List(5112, 11185), List(4391, 9173), List(2931, 5287), List(403, 8730), List(2392, 5009), List(8393, 9672), List(10504, 11044), List(8946, 10787), List(6124, 8091), List(3039, 5759), List(1785, 3284), List(3197, 7099), List(4255, 5498), List(3787, 3932), List(12, 7569), List(793, 8134), List(6990, 9703), List(6964, 8482), List(3776, 9435), List(513, 9248), List(8448, 9729), List(1539, 6611), List(2997, 5883), List(525, 2842), List(1529, 11558), List(502, 5302), List(9118, 9150), List(8782, 9201), List(2218, 5364), List(3889, 7218), List(6972, 8723), List(5874, 6007), List(4387, 10878), List(4256, 7951), List(3943, 7454), List(3294, 9260), List(2210, 8886), List(1833, 8936), List(6224, 7517), List(2149, 10862), List(1244, 8541), List(919, 2365), List(946, 4188), List(5271, 10817), List(3909, 10472), List(917, 9085), List(6214, 9431), List(3468, 10729), List(8421, 10511), List(749, 4024), List(7207, 10818), List(5607, 6952), List(3373, 4426), List(847, 10948), List(6542, 11367), List(5854, 7583), List(273, 10861), List(813, 8331), List(1609, 9204), List(6135, 9673), List(3320, 9676), List(2738, 10452), List(4629, 9606), List(988, 10025), List(2444, 3589), List(9952, 11173), List(420, 10507), List(7856, 7857), List(4653, 11131), List(608, 7525), List(4770, 6054), List(2976, 3046), List(6427, 8919), List(8911, 9341), List(3025, 9354), List(3056, 4503), List(6695, 8175), List(4366, 8041), List(6071, 10977), List(875, 5021), List(1679, 6509), List(7291, 11589), List(5044, 11110), List(1331, 2793), List(3543, 11387), List(962, 11032), List(2367, 7260), List(2541, 2717), List(7905, 9947), List(835, 1808), List(7803, 9670), List(6003, 9880), List(9477, 11041), List(8673, 9526), List(2725, 7907), List(3322, 6665), List(8299, 11005), List(5331, 10012), List(10838, 11134), List(2405, 5458), List(3344, 7363), List(8786, 9588), List(1343, 3153), List(2158, 2548), List(4799, 7118), List(682, 1192), List(3923, 9699), List(3018, 7378), List(5428, 10295), List(7689, 8228), List(5863, 9469), List(3766, 5551), List(3915, 9057), List(1745, 10488), List(6963, 11507), List(1890, 3672), List(5819, 10301), List(4594, 8564), List(4790, 5470), List(4532, 11096), List(4938, 6122), List(5600, 10937), List(6436, 8957), List(8296, 9552), List(1644, 10032), List(2141, 10838), List(4741, 8991), List(147, 1383), List(4462, 9576), List(4033, 7184), List(2605, 2836), List(2947, 5983), List(1641, 3318), List(6864, 11097), List(1038, 11161), List(2745, 8508), List(3927, 9417), List(1077, 4673), List(8040, 11437), List(67, 4056), List(6398, 8823), List(8072, 10194), List(8005, 8972), List(6606, 9526), List(6291, 8202), List(2065, 5716), List(9644, 11288), List(1870, 10910), List(530, 2999), List(5550, 10419), List(1865, 4150), List(5388, 10091), List(5844, 10142), List(2046, 6413), List(2393, 9904), List(272, 1428), List(2372, 9027), List(4640, 4721), List(2861, 5808), List(7558, 7879), List(3079, 4947), List(1417, 6619), List(3509, 10193), List(5370, 7226), List(2758, 5306), List(5149, 5537), List(1544, 5613), List(7105, 10004), List(766, 2313), List(1375, 3360), List(5490, 9213), List(7021, 8024), List(6670, 7043), List(293, 10202), List(2929, 10264), List(8130, 9394), List(472, 1085), List(138, 8379), List(7132, 11046), List(110, 10495), List(506, 11249), List(3487, 7559), List(7131, 11575), List(402, 3729), List(6764, 10061), List(477, 8976), List(1192, 11173), List(337, 8215), List(275, 7337), List(1152, 7610), List(216, 10140), List(4734, 10748), List(6289, 9953), List(10179, 10992), List(10523, 10802), List(3481, 4711), List(559, 10479), List(1426, 10064), List(1152, 10993), List(2601, 3386), List(273, 1225), List(5443, 5960), List(1086, 6209), List(5594, 6129), List(3505, 6236), List(7711, 11453), List(3528, 6405), List(5923, 8290), List(1191, 7164), List(5275, 10698), List(6235, 8562), List(2997, 10152), List(10150, 10597), List(1602, 5163), List(2928, 11486), List(2930, 5897), List(92, 10612), List(42, 4833), List(6227, 11303), List(8534, 10335), List(3742, 4994), List(1460, 4706), List(5324, 6776), List(5169, 9117), List(3507, 11543), List(5229, 9922), List(1153, 10413), List(2166, 9069), List(5223, 9353), List(4189, 4932), List(3944, 8511), List(7464, 10017), List(10654, 11419), List(951, 9151), List(4282, 8506), List(5964, 9738), List(5142, 6920), List(2571, 7253), List(314, 6086), List(8818, 8939), List(2560, 9346), List(5488, 10940), List(192, 10038), List(2845, 9707), List(3184, 9173), List(756, 5650), List(3619, 9101), List(4555, 6571), List(3937, 7690), List(1306, 3084), List(3613, 8532), List(3081, 5261), List(3117, 4918), List(1532, 2838), List(3853, 7992), List(7748, 8621), List(184, 6363), List(2773, 4327), List(5730, 6659), List(3411, 3860), List(4758, 7280), List(3947, 10256), List(6153, 9236), List(1512, 3310), List(452, 1832), List(5087, 5277), List(5938, 10745), List(1630, 5251), List(1328, 11302), List(1605, 7638), List(5022, 7511), List(5515, 10827), List(759, 5143), List(4644, 8090), List(2288, 10297), List(2624, 3830), List(3594, 6546), List(4743, 11479), List(7169, 8513), List(8853, 10572), List(4149, 11494), List(4106, 8414), List(2146, 6457), List(3961, 5027), List(1492, 5667), List(2732, 9964), List(220, 1832), List(626, 2520), List(1498, 2449), List(1894, 3203), List(3333, 11093), List(2984, 4523), List(1280, 10857), List(6693, 8934), List(3197, 5570), List(6247, 10345), List(5003, 8558), List(2103, 3727), List(2476, 8439), List(7395, 9391), List(7049, 8754), List(918, 2520), List(757, 11462), List(2976, 3477), List(636, 6217), List(887, 10000), List(4619, 5535), List(1066, 5801), List(5356, 9211), List(1497, 1823), List(4296, 9985), List(228, 8085), List(133, 4815), List(1461, 5549), List(11266, 11477), List(1242, 10349), List(433, 8490), List(2619, 5283), List(2198, 2809), List(4640, 10145), List(3139, 10422), List(3082, 9888), List(3475, 9590), List(4189, 8933), List(6861, 8652), List(5054, 5439), List(4468, 10977), List(3214, 8502), List(1998, 2347), List(2109, 9503), List(5151, 8755), List(9664, 10517), List(3396, 7984), List(4999, 11367), List(1257, 4564), List(2398, 2466), List(1541, 4323), List(1043, 9708), List(6442, 9607), List(778, 1331), List(4246, 9817), List(3016, 11146), List(5137, 9796), List(6315, 10963), List(3856, 5875), List(1717, 2455), List(5411, 5834), List(3757, 11531), List(5474, 9566), List(4192, 11459), List(1088, 2661), List(4536, 9017), List(1487, 2932), List(1425, 6218), List(8372, 9039), List(1915, 5099), List(5039, 6605), List(7525, 10106), List(6959, 11415), List(3948, 5814), List(7647, 9537), List(178, 3379), List(882, 1280), List(6869, 8489), List(8985, 10205), List(3763, 6034), List(9422, 10960), List(6712, 8505), List(11135, 11505), List(4910, 7888), List(5371, 9037), List(2040, 7430), List(1938, 2989), List(229, 9733), List(5772, 10512), List(1655, 4586), List(11147, 11515), List(879, 4365), List(1035, 4878), List(1281, 8317), List(1501, 10535), List(4801, 9823), List(7502, 8028), List(4489, 8016), List(10024, 11186), List(3670, 4715), List(225, 9210), List(9246, 10892), List(598, 5254), List(1219, 4406), List(7998, 9363), List(5221, 11348), List(35, 6834), List(2862, 3458), List(3646, 9956), List(2581, 10386), List(10213, 11058), List(7622, 10015), List(328, 2168), List(3361, 4310), List(5752, 7951), List(26, 5967), List(1736, 9247), List(6593, 9321), List(3759, 10772), List(1550, 3607), List(3566, 11131), List(7986, 8198), List(145, 6598), List(1162, 9914), List(6089, 10727), List(4682, 5004), List(3436, 8806), List(1251, 2035), List(573, 3103), List(460, 11305), List(266, 1640), List(507, 4735), List(3194, 5486), List(9788, 10663), List(686, 3919), List(4925, 10774), List(6256, 11025), List(5982, 10456), List(2704, 8483), List(364, 4807), List(2729, 9479), List(5194, 5687), List(1174, 9493), List(116, 3924), List(1512, 2318), List(5460, 6745), List(2344, 3602), List(8828, 10863), List(3035, 6903), List(1313, 2108), List(8162, 8558), List(3055, 8309), List(8760, 9416), List(1356, 8571), List(4764, 11364), List(5335, 8147), List(698, 6881), List(8900, 9426), List(7719, 11371), List(10248, 11536), List(2682, 9609), List(5918, 7946), List(2822, 11117), List(465, 4054), List(1669, 9448), List(4224, 7828), List(1080, 9053), List(4815, 8269), List(3998, 5795), List(3225, 10009), List(4505, 7289), List(637, 2067), List(2751, 9372), List(1240, 9685), List(6078, 11237), List(7974, 11489), List(3653, 11395), List(234, 10695), List(7042, 7722), List(734, 8766), List(4593, 9738), List(5082, 6519), List(4278, 8414), List(7640, 9334), List(6981, 9698), List(782, 5050), List(2621, 11184), List(7970, 10966), List(2394, 5543), List(5697, 8512), List(7295, 11551), List(4360, 6534), List(2066, 9619), List(1753, 4958), List(3183, 3717), List(3090, 3526), List(130, 6558), List(3340, 7084), List(6846, 10412), List(846, 9357), List(2553, 6704), List(3602, 8023), List(4885, 8984), List(2132, 3449), List(4664, 7295), List(4499, 8948), List(2484, 8038), List(8449, 10038), List(1546, 7489), List(1298, 3223), List(830, 903), List(7583, 7645), List(1103, 9171), List(4475, 7773), List(1072, 7606), List(5968, 6854), List(880, 10065), List(4894, 8696), List(8734, 9618), List(5716, 9262), List(1070, 1494), List(3458, 3706), List(445, 7858), List(1663, 8424), List(2680, 6822), List(4268, 9173), List(4617, 7075), List(5479, 8568), List(4958, 7368), List(2500, 5134), List(4198, 11063), List(6919, 11398), List(9438, 10875), List(2148, 11098), List(6907, 9883), List(1616, 7073), List(2426, 6124), List(1110, 2771), List(3510, 4246), List(4139, 6669), List(1204, 5816), List(5813, 8040), List(3633, 8783), List(7745, 7949), List(2545, 10919), List(3100, 9451), List(87, 9439), List(6116, 8980), List(4399, 4529), List(9194, 10141), List(975, 3485), List(10417, 11051), List(2349, 10980), List(7359, 11296), List(3565, 4303), List(4747, 5212), List(8699, 9381), List(2009, 7125), List(9034, 9105), List(10658, 11113), List(4343, 4570), List(845, 10959), List(2868, 6068), List(495, 6416), List(5515, 7420), List(4861, 8882), List(5365, 10859), List(7717, 11162), List(5981, 6661), List(977, 9543), List(4709, 9242), List(4458, 5459), List(3293, 7937), List(5409, 10407), List(1871, 7541), List(9935, 10876), List(7334, 8391), List(897, 919), List(3176, 10735), List(5848, 10454), List(63, 7109), List(3762, 10078), List(2950, 7948), List(405, 3840), List(5025, 10417), List(6000, 7061), List(9642, 10250), List(6987, 7502), List(6930, 11132), List(3439, 8112), List(326, 10902), List(3101, 5084), List(5365, 9704), List(2975, 6665), List(4346, 10479), List(7178, 8201), List(7135, 10783), List(4184, 5233), List(3504, 5474), List(8411, 11327), List(40, 5031), List(6194, 9936), List(2553, 10355), List(6451, 11255), List(5203, 5562), List(5387, 7369), List(308, 2752), List(2799, 10761), List(4541, 9792), List(2423, 11413), List(957, 10745), List(2080, 3877), List(8303, 11585), List(7554, 9023), List(1303, 4185), List(1071, 4616), List(2139, 2205), List(6427, 11204), List(3442, 4572), List(161, 5334), List(7357, 8859), List(5421, 5798), List(2711, 7507), List(9288, 10795), List(8254, 10538), List(4396, 6004), List(3644, 3925), List(7475, 10019), List(7783, 7920), List(3550, 4263), List(303, 8019), List(249, 11166), List(6966, 11081), List(1520, 11366), List(7401, 8757), List(3887, 4033), List(7056, 10974), List(4912, 11374), List(2195, 7748), List(1696, 6115), List(77, 2199), List(421, 2763), List(574, 3005), List(241, 7491), List(7701, 10897), List(516, 9416), List(1362, 3960), List(2819, 6794), List(9099, 10872), List(9585, 10765), List(7014, 11098), List(13, 844), List(4085, 7781), List(348, 1322), List(1032, 10622), List(1839, 9402), List(8623, 11293), List(10615, 11253), List(5200, 10097), List(1750, 10084), List(7722, 9091), List(1867, 4253), List(2429, 3202), List(2174, 9099), List(7616, 11324), List(3378, 7323), List(2545, 10732), List(799, 1379), List(4756, 5892), List(4100, 10691), List(1113, 9648), List(7610, 11509), List(8088, 8101), List(9053, 10473), List(741, 7790), List(2666, 6528), List(1360, 3109), List(4756, 9275), List(7760, 11453), List(3412, 3874), List(5958, 10836), List(2992, 4254), List(9008, 9949), List(541, 9607), List(9591, 9775), List(3491, 11522), List(69, 4135), List(10676, 10751), List(8965, 10252), List(288, 9134), List(943, 10526), List(2053, 9869), List(4823, 5959), List(6693, 11406), List(2587, 6770), List(2950, 10794), List(4904, 8018), List(5043, 5144), List(4907, 8289), List(4533, 9768), List(1864, 7314), List(5059, 9060), List(916, 1913), List(5833, 8454), List(632, 2154), List(1392, 1842), List(3250, 5020), List(638, 5352), List(3630, 5241), List(3380, 10728), List(794, 5865), List(1099, 4249), List(2196, 8992), List(635, 11470), List(358, 6466), List(4675, 9070), List(2472, 8109), List(4342, 6386), List(6544, 10128), List(5388, 8188), List(1193, 7267), List(6260, 10369), List(104, 2385), List(998, 6045), List(5786, 8234), List(2023, 6970), List(3929, 7910), List(7793, 9226), List(5880, 7869), List(6285, 9086), List(2303, 6206), List(2270, 10230), List(2671, 4912), List(4997, 10410), List(7870, 8133), List(6024, 7244), List(2266, 7078), List(2132, 3880), List(516, 6651), List(2223, 3998), List(1075, 8335), List(4433, 5349), List(2171, 7191), List(3255, 4559), List(2759, 7361), List(5401, 8369), List(7409, 8862), List(4499, 9729), List(4437, 8851), List(2006, 5811), List(633, 1170), List(385, 8238), List(3580, 9230), List(999, 9629), List(5388, 7383), List(2965, 4204), List(3426, 8763), List(4804, 7332), List(1621, 8629), List(1371, 8454), List(466, 6133), List(6190, 11454), List(5511, 8887), List(334, 2981), List(6656, 9914), List(2920, 11227), List(4004, 4431), List(6213, 9344), List(5776, 9343), List(7312, 8498), List(8272, 10526), List(2665, 9954), List(7152, 11249), List(3824, 9159), List(4352, 11530), List(4128, 10324), List(2041, 7094), List(4092, 4251), List(330, 5841), List(973, 6472), List(1663, 4667), List(3022, 6966), List(351, 10101), List(7413, 11182), List(3676, 8887), List(3032, 11037), List(1246, 8701), List(2362, 11242), List(39, 9425), List(6187, 6968), List(2644, 3758), List(3609, 4632), List(139, 5872), List(369, 8778), List(3285, 11109), List(3223, 10231), List(7858, 11424), List(1397, 9220), List(4506, 4776), List(1605, 9923), List(3089, 4000), List(10809, 10908), List(3674, 3872), List(2061, 10324), List(4492, 6948), List(717, 11339), List(2114, 6952), List(1783, 8101), List(7375, 7641), List(995, 10529), List(3236, 7029), List(2895, 10900), List(4693, 9863), List(585, 11570), List(2947, 10309), List(3886, 5798), List(1830, 1881), List(7764, 10984), List(3781, 7502), List(4591, 6553), List(6616, 8905), List(8512, 9157), List(1786, 7244), List(430, 5216), List(4587, 9817), List(6176, 7852), List(7519, 8120), List(3751, 6512), List(1386, 6721), List(3676, 10310), List(3924, 3996), List(3464, 5701), List(3987, 7728), List(2435, 8040), List(3178, 5869), List(2870, 5716), List(5912, 6466), List(523, 7285), List(5318, 5727), List(125, 6458), List(3922, 10716), List(1346, 10705), List(1988, 3564), List(4042, 11572), List(4171, 7256), List(931, 1603), List(4358, 7082), List(2553, 6948), List(9271, 9717), List(395, 5006), List(5353, 11548), List(10205, 11278), List(7309, 9599), List(2517, 10674), List(730, 10365), List(1141, 9899), List(547, 11412), List(4036, 11353), List(164, 8641), List(78, 3205), List(11283, 11433), List(4239, 10931), List(2090, 3817), List(1379, 8909), List(1003, 9561), List(4086, 11066), List(7933, 10523), List(8805, 10452), List(2391, 3930), List(1960, 11291), List(3636, 9325), List(615, 3036), List(5167, 8136), List(2323, 9653), List(1517, 4305), List(6126, 6529), List(1510, 3134), List(1864, 8550), List(4262, 9198), List(7431, 9723), List(1576, 4885), List(609, 1686), List(6302, 8448), List(6923, 11010), List(6926, 8275), List(8827, 8871), List(2822, 6718), List(7457, 7911), List(141, 9165), List(2287, 3930), List(8513, 10401), List(2726, 10393), List(10718, 11408), List(2559, 11219), List(5174, 10404), List(2588, 10459), List(1507, 9602), List(967, 5716), List(3398, 9510), List(4771, 6981), List(3764, 10799), List(536, 6661), List(1276, 7225), List(4185, 6857), List(2732, 9834), List(3329, 7838), List(4392, 7335), List(8399, 8959), List(2986, 7472), List(5099, 5507), List(3667, 10085), List(5826, 9219), List(3302, 9398), List(3856, 4322), List(10177, 10653), List(1144, 7456), List(7240, 8973), List(4036, 9393), List(2363, 5214), List(2480, 5799), List(7122, 8163), List(1454, 9567), List(4871, 10194), List(3637, 9095), List(1987, 5866), List(4807, 7735), List(5681, 8491), List(4447, 7392), List(8019, 9842), List(617, 4906), List(7414, 10442), List(2130, 4639), List(3271, 3295), List(9375, 11089), List(5760, 10477), List(4268, 4424), List(904, 1179), List(1786, 8212), List(1184, 9864), List(10621, 10670), List(7507, 9852), List(4389, 5882), List(2993, 10871), List(1159, 5081), List(876, 2514), List(1813, 9254), List(5909, 10169), List(3325, 3881), List(4624, 5375), List(2975, 5754), List(10447, 11429), List(5876, 11160), List(2889, 10117), List(4539, 6176), List(1205, 1642), List(3725, 10389), List(5996, 9010), List(7775, 8677), List(3066, 8501), List(4072, 7464), List(5278, 6515), List(1828, 10666), List(2036, 4953), List(790, 5749), List(6084, 8830), List(5215, 6166), List(4236, 4862), List(4461, 7424), List(230, 6846), List(70, 3181), List(6016, 7383), List(6508, 7845), List(1059, 3695), List(5009, 11201), List(1407, 10794), List(627, 7421), List(2766, 4425), List(1783, 7109), List(439, 954), List(6158, 6685), List(6106, 6495), List(7066, 8523), List(4953, 10488), List(5538, 6977), List(2073, 2926), List(4235, 7993), List(1150, 3409), List(7614, 10048), List(5310, 8281), List(19, 5471), List(306, 8911), List(4939, 9277), List(2107, 5893), List(8798, 11003), List(4493, 5026), List(2852, 9430), List(2214, 9173), List(450, 4876), List(9932, 11117), List(598, 4774), List(2972, 8034), List(6076, 9662), List(6420, 7974), List(10752, 10856), List(1874, 5318), List(824, 10944), List(4988, 6136), List(5829, 6752), List(1849, 7705), List(6608, 10654), List(8538, 9736), List(8715, 10372), List(3584, 9729), List(7042, 10357), List(2338, 7115), List(2426, 2798), List(4019, 9657), List(9673, 10075), List(6157, 8688), List(6312, 6347), List(2836, 4359), List(7808, 9109), List(644, 1335), List(2644, 7572), List(1889, 5976), List(1736, 9117), List(1579, 11385), List(7699, 11044), List(2229, 6017), List(1086, 10698), List(9985, 11451), List(5925, 6059), List(3722, 8508), List(2780, 7059), List(2289, 3035), List(3376, 11254), List(1872, 7850), List(6572, 10192), List(2186, 9703), List(5381, 11449), List(5331, 5670), List(3576, 11315), List(1212, 3081), List(5451, 9936), List(6910, 9433), List(1617, 4298), List(2155, 7357), List(5259, 6733), List(7461, 10475), List(4379, 6162), List(9050, 9264), List(5880, 9268), List(1701, 5874), List(3319, 9565), List(9790, 10205), List(2844, 6828), List(8420, 9999), List(3967, 10540), List(137, 8054), List(1593, 1618), List(4120, 4366), List(1886, 8256), List(1509, 6054), List(1132, 6104), List(3706, 9452), List(3060, 8523), List(8634, 10867), List(3923, 10618), List(284, 7700), List(10894, 11581), List(4489, 6276), List(1461, 5232), List(6997, 11256), List(1579, 3009), List(4662, 7924), List(1391, 2958), List(1050, 6829), List(2165, 6516), List(655, 9683), List(3780, 10690), List(7119, 9906), List(739, 2214), List(5873, 11456), List(1050, 10212), List(4808, 11132), List(4123, 11029), List(2817, 7610), List(1601, 7871), List(7089, 11195), List(5621, 9700), List(6058, 10455), List(5836, 11574), List(1824, 3190), List(2407, 3016), List(1474, 5063), List(2964, 3873), List(8206, 10928), List(1260, 10961), List(264, 6270), List(539, 11201), List(3190, 10043), List(10057, 10683), List(2940, 9114), List(9468, 10288), List(7226, 10153), List(6895, 10548), List(7638, 8377), List(8932, 9527), List(190, 844), List(5790, 11579), List(3517, 9125), List(4482, 11497), List(8537, 10129), List(9657, 10160), List(7835, 8167), List(7597, 8753), List(8130, 11468), List(1150, 6255), List(7316, 9265), List(4568, 10490), List(6008, 9937), List(1863, 8379), List(1550, 10511), List(7799, 8860), List(2016, 5588), List(2076, 5639), List(9636, 11161), List(3132, 8129), List(5000, 10497), List(7116, 8049), List(2684, 7215), List(7303, 7875), List(4397, 7760), List(233, 6152), List(3591, 9582), List(318, 7953), List(5008, 6601), List(9436, 10699), List(8284, 11130), List(3730, 9367), List(9839, 11089), List(4297, 4496), List(5257, 6524), List(7531, 10334), List(8804, 10607), List(4783, 10805), List(2044, 3448), List(6317, 9887), List(1166, 2950), List(4692, 8408), List(8728, 10770), List(7857, 11443), List(6485, 10410), List(8157, 8702), List(2623, 8386), List(5075, 10805), List(572, 4813), List(2836, 3017), List(1873, 11271), List(725, 9192), List(5176, 7824), List(2956, 11420), List(6970, 10051), List(3391, 11348), List(6068, 11411), List(939, 6677), List(8531, 10956), List(5093, 10980), List(5936, 6007), List(581, 7908), List(1789, 7786), List(3783, 4409), List(3194, 10430), List(1231, 9710), List(9642, 10120), List(2326, 11374), List(1884, 3859), List(2820, 6247), List(4000, 6329), List(3163, 5832), List(3440, 4420), List(2839, 9680), List(6015, 11376), List(9690, 9787), List(2410, 6534), List(450, 9495), List(3160, 5534), List(3712, 6047), List(9374, 11244), List(4365, 11530), List(1091, 7047), List(2173, 3588), List(1369, 8489), List(6, 8700), List(3106, 7176), List(5382, 6895), List(740, 8695), List(4385, 11401), List(125, 3669), List(428, 1226), List(706, 9084), List(1707, 5451), List(1182, 2597), List(1545, 6621), List(8575, 8945), List(3938, 7679), List(106, 8530), List(2191, 10933), List(3159, 11324), List(5287, 10391), List(6001, 9734), List(1796, 7371), List(1194, 9023), List(131, 3110), List(1856, 5924), List(7288, 7461), List(297, 4311), List(2439, 8002), List(4830, 5227), List(3085, 5144), List(5020, 10986), List(6360, 6819), List(4056, 9216), List(7000, 7179), List(2277, 3887), List(69, 8998), List(12, 8464), List(5764, 10171), List(3152, 10503), List(6142, 8811), List(2584, 4569), List(8647, 10110), List(9870, 11020), List(2711, 4344), List(2792, 5272), List(3664, 5201), List(2712, 7198), List(501, 1458), List(3362, 4082), List(1987, 9948), List(471, 9917), List(836, 1936), List(4999, 6325), List(2046, 10528), List(5991, 10520), List(542, 708), List(7794, 8329), List(7551, 8571), List(2079, 9887), List(4689, 8728), List(6174, 7194), List(4434, 7455), List(3427, 4857), List(266, 1941), List(7452, 11194), List(1151, 2105), List(1622, 8106), List(407, 11221), List(8220, 10019), List(1838, 2254), List(692, 1002), List(602, 4492), List(7902, 8397), List(3805, 3847), List(5845, 7261), List(4785, 7281), List(8713, 11056), List(3145, 5494), List(5197, 9669), List(5135, 8791), List(9447, 11051), List(1140, 3794), List(2208, 7799), List(5343, 9494), List(6158, 8889), List(208, 781), List(574, 2070), List(3163, 6450), List(3909, 10212), List(7801, 7914), List(4993, 8334), List(3250, 9078), List(6180, 9587), List(4251, 7697), List(7725, 8104), List(2317, 11125), List(4340, 10398), List(5398, 9551), List(3330, 10535), List(9601, 11087), List(1595, 11140), List(5521, 7672), List(2586, 6819), List(1368, 6253), List(2957, 4288), List(5641, 6276), List(7217, 10522), List(7103, 9454), List(5565, 7220), List(618, 4220), List(88, 1022), List(7278, 7765), List(177, 10893), List(7035, 8007), List(6259, 8540), List(3477, 3765), List(4731, 9623), List(3015, 8780), List(49, 8614), List(320, 6633), List(6395, 7273), List(1386, 9811), List(5894, 8977), List(7175, 9865), List(322, 6679), List(193, 7989), List(6242, 9660), List(4306, 6599), List(171, 9893), List(2652, 6634), List(4174, 7611), List(6290, 10081), List(3456, 11532), List(5159, 11389), List(7036, 7427), List(3211, 5285), List(5728, 7345), List(2956, 10428), List(1767, 8348), List(2142, 7471), List(807, 4068), List(3071, 8688), List(6281, 11466), List(607, 2502), List(5961, 9798), List(2927, 8909), List(6005, 9316), List(3788, 10177), List(2785, 11485), List(8516, 11561), List(3098, 3314), List(264, 8929), List(7767, 9753), List(2282, 3694), List(893, 5690), List(8021, 10801), List(3868, 9382), List(2697, 6353), List(6957, 7669), List(846, 5120), List(5515, 11559), List(1917, 8642), List(1007, 5977), List(284, 9554), List(1848, 4341), List(4582, 4938), List(3054, 9808), List(2092, 6953), List(5201, 7427), List(8559, 10857), List(4328, 7273), List(1463, 7913), List(5702, 8352), List(2808, 4090), List(129, 2446), List(3298, 9387), List(7097, 10308), List(2608, 8940), List(3358, 3776), List(3289, 5891), List(954, 8975), List(4440, 5235), List(501, 7687), List(9771, 10073), List(243, 1235), List(5540, 7243), List(1180, 7975), List(7737, 10641), List(3698, 7227), List(5594, 7479), List(1736, 9361), List(2913, 3510), List(5839, 10693), List(4994, 8423), List(5154, 10590), List(1283, 1687), List(3877, 6411), List(601, 7517), List(11, 4268), List(642, 7518), List(4561, 7043), List(2128, 2422), List(536, 9751), List(694, 11091), List(9165, 11552), List(695, 1113), List(7449, 10709), List(4951, 5693), List(6886, 11535), List(936, 9843), List(7035, 8625), List(2773, 6482), List(6278, 6956), List(4201, 4414), List(9485, 10217), List(498, 7365), List(456, 7139), List(10822, 11414), List(1832, 4881), List(402, 11040), List(796, 10213), List(8234, 9888), List(305, 6943), List(1852, 6287), List(3810, 7417), List(484, 1990), List(2385, 9002), List(3040, 10394), List(2001, 3377), List(393, 6009), List(5365, 10005), List(65, 2945), List(1445, 7976), List(7104, 8738), List(2954, 11000), List(5075, 7398), List(9092, 9710), List(2617, 5164), List(9401, 10465), List(8391, 10602), List(1087, 6955), List(434, 11271), List(3445, 10456), List(2175, 7448), List(1889, 11026), List(1046, 10337), List(8551, 11234), List(4096, 8696), List(677, 7996), List(5095, 10652), List(7485, 11439), List(9947, 10382), List(5594, 5869), List(4992, 7521), List(5442, 8481), List(3651, 5047), List(1070, 5446), List(5397, 8738), List(2066, 2967), List(295, 8833), List(8467, 8503), List(1787, 6935), List(789, 8587), List(2067, 9958), List(3772, 10642), List(6543, 9586), List(1963, 8854), List(4451, 6012), List(2959, 4123), List(378, 4522), List(1370, 4553), List(4136, 8071), List(24, 2489), List(19, 2145), List(2021, 9209), List(5275, 5900), List(3203, 3702), List(2854, 3548), List(560, 2469), List(7344, 8524), List(2055, 2377), List(3194, 5868), List(6344, 8595), List(3438, 6228), List(2080, 9789), List(7216, 9278), List(3384, 10129), List(2919, 7326), List(3227, 5227), List(8017, 10495), List(2002, 7654), List(2050, 4662), List(3532, 9246), List(16, 8613), List(1940, 7126), List(5608, 11536), List(2494, 8466), List(350, 4702), List(4266, 6208), List(1501, 4046), List(6824, 11275), List(3108, 9857), List(2187, 7003), List(905, 2480), List(2333, 6828), List(4884, 8472), List(555, 4353), List(9297, 10784), List(1057, 5503), List(1559, 10817), List(6750, 10013), List(1141, 2198), List(578, 9440), List(247, 3419), List(2206, 11567), List(358, 10605), List(1139, 11170), List(2975, 4201), List(798, 10877), List(547, 678), List(8774, 11359), List(5215, 7646), List(4375, 9884), List(6794, 11409), List(5392, 6030), List(4146, 9832), List(8604, 10389), List(4464, 9175), List(5448, 9345), List(919, 9302), List(6609, 9377), List(9788, 10590), List(1029, 6464), List(662, 11366), List(7448, 7668), List(10720, 11324), List(5849, 6656), List(1217, 9898), List(6944, 9074), List(5039, 10988), List(130, 5062), List(3289, 11315), List(1054, 5181), List(6338, 6820), List(1711, 3236), List(1143, 4472), List(6693, 8674), List(3321, 7066), List(2354, 3867), List(4139, 5978), List(3103, 11310), List(5247, 8658), List(2377, 2538), List(4191, 9551), List(4002, 7400), List(3039, 10736), List(2685, 6074), List(9849, 10842), List(2504, 7194), List(43, 5443), List(4117, 10541), List(1806, 5351), List(9104, 9907), List(5701, 6734), List(6721, 9567), List(7629, 11405), List(5239, 8366), List(1156, 7686), List(6419, 8448), List(727, 5294), List(4199, 9792), List(2766, 5100), List(7991, 9542), List(3992, 5527), List(3973, 7005), List(1017, 1111), List(2864, 11270), List(3172, 9171), List(767, 936), List(3227, 8878), List(1523, 3134), List(11324, 11572), List(7621, 11113), List(1943, 11075), List(4658, 8212), List(4009, 10018), List(2605, 3812), List(6705, 7879), List(332, 1358), List(1510, 11193), List(1950, 5049), List(9, 8060), List(3529, 9566), List(7261, 9265), List(2322, 10290), List(633, 1471), List(2785, 5850), List(6362, 7890), List(6455, 10333), List(4398, 9197), List(6110, 6888), List(74, 9586), List(4178, 4727), List(3398, 7770), List(4363, 10142), List(8439, 9651), List(1402, 10320), List(1524, 4833), List(2582, 8150), List(4, 8066), List(6439, 9049), List(2669, 6614), List(2607, 9900), List(8832, 9353), List(2051, 7733), List(4329, 8279), List(5170, 8895), List(4169, 10276), List(2326, 3242), List(8862, 11447), List(1947, 4377), List(8212, 10776), List(3876, 5486), List(4344, 5554), List(5587, 10122), List(1110, 10269), List(8453, 10838), List(6240, 9189), List(4648, 5184), List(5950, 11113), List(71, 1717), List(9747, 11207), List(3334, 6041), List(7793, 10950), List(4264, 5194), List(6719, 7130), List(4955, 6997), List(719, 10239), List(8962, 10873), List(6285, 10810), List(8091, 11546), List(3172, 4178), List(3230, 8320), List(3455, 10882), List(399, 7036), List(2011, 7529), List(1171, 9767), List(2953, 8951), List(765, 2663), List(4314, 4907), List(4092, 6780), List(2199, 10209), List(7263, 7378), List(9795, 11224), List(6643, 8424), List(2415, 9275), List(6649, 9370), List(5995, 10832), List(3409, 3717), List(6182, 10658), List(1663, 4163), List(314, 11250), List(2340, 3624), List(4394, 10878), List(1217, 9711), List(4948, 11437), List(3606, 6109), List(1307, 5440), List(9987, 10993), List(3362, 9132), List(4377, 5205), List(8807, 9376), List(2422, 8510), List(2330, 8921), List(4384, 9759), List(5442, 8912), List(2199, 2988), List(2311, 3983), List(7642, 8821), List(2100, 9398), List(507, 6703), List(4334, 8891), List(4643, 9646), List(5357, 8989), List(8476, 10151), List(4426, 5447), List(30, 4270), List(1533, 9701), List(4800, 5099), List(2124, 7890), List(7215, 9134), List(2459, 9866), List(1732, 9537), List(772, 1093), List(7189, 11296), List(5434, 10525), List(1673, 2891), List(8324, 8602), List(7553, 9479), List(3084, 8763), List(565, 10040), List(9508, 9557), List(1282, 8146), List(5014, 7845), List(5640, 10751), List(5860, 6553), List(590, 4620), List(171, 9332), List(1343, 3137), List(902, 5646), List(7099, 7215), List(2835, 8409), List(4146, 5002), List(3740, 4314), List(2267, 8891), List(1837, 3645), List(5386, 10053), List(3330, 6136), List(3794, 10966), List(1707, 7736), List(10268, 11123), List(301, 703), List(7315, 8910), List(2864, 3862), List(9486, 11087), List(4782, 7845), List(3839, 6952), List(828, 1351), List(8895, 9865), List(144, 10518), List(4440, 5829), List(4288, 7687), List(769, 9789), List(9126, 9239), List(1471, 11027), List(5552, 10880), List(3899, 3970), List(2343, 6792), List(5990, 8073), List(8132, 11010), List(1126, 6828), List(6549, 9757), List(6567, 10336), List(1064, 9333), List(1246, 8815), List(9988, 11082), List(659, 5083), List(6070, 6497), List(5503, 9833), List(4541, 11142), List(4577, 6635), List(2865, 3282), List(1141, 8240), List(3355, 6327), List(1731, 5073), List(2039, 2974), List(9177, 9527), List(736, 3990), List(204, 6381), List(6439, 11440), List(7112, 10028), List(8765, 10522), List(4375, 6127), List(7551, 7823), List(5457, 9838), List(10436, 10841), List(476, 1592), List(9753, 11565), List(8352, 11292), List(3660, 7313), List(5091, 11178), List(1169, 9857), List(5424, 10829), List(4961, 9607), List(4114, 4258), List(5167, 6477), List(2372, 7856), List(9712, 11160), List(3614, 7318), List(2898, 7902), List(64, 7101), List(2829, 2847), List(1141, 10468), List(8501, 8732), List(6192, 6621), List(2331, 8986), List(6818, 10281), List(9891, 10344), List(362, 9949), List(864, 11099), List(2423, 5542), List(5315, 9731), List(119, 3775), List(872, 8708), List(2971, 8565), List(1075, 2651), List(3819, 3936), List(2002, 2287), List(4891, 10342), List(9414, 11294), List(823, 10694), List(534, 4175), List(6349, 10368), List(4926, 6364), List(3210, 11183), List(287, 1265), List(2585, 11131), List(560, 2363), List(3997, 9284), List(182, 7106), List(875, 11234), List(2463, 7169), List(4827, 8987), List(1023, 7722), List(5412, 5476), List(405, 2425), List(1277, 8770), List(3756, 8848), List(7740, 8768), List(1176, 4931), List(6750, 8029), List(4470, 10820), List(5774, 6996), List(6079, 11015), List(1886, 3751), List(2543, 2560), List(2885, 5707), List(506, 2857), List(4839, 9347), List(9570, 10248), List(231, 3561), List(7505, 11503), List(10122, 11515), List(1913, 5547), List(4637, 5456), List(1557, 3468), List(1688, 7149), List(3399, 6867), List(1711, 7318), List(3244, 3546), List(123, 5721), List(3429, 8961), List(5535, 9989), List(435, 10911), List(4540, 11158), List(6942, 7044), List(932, 4547), List(6912, 10585), List(2671, 7067), List(1802, 4403), List(5747, 10811), List(4664, 9881), List(546, 3730), List(4407, 6283), List(4372, 9480), List(1977, 6097), List(2761, 6179), List(3413, 8054), List(2759, 3100), List(2977, 10907), List(8610, 10448), List(1566, 9946), List(1160, 9258), List(2292, 4388), List(5272, 8424), List(3522, 7997), List(5244, 6376), List(10526, 11352), List(7355, 7748), List(2291, 10579), List(3031, 4727), List(6356, 11427), List(2903, 5481), List(4792, 7972), List(2273, 9249), List(7536, 10011), List(31, 8360), List(7637, 10063), List(5, 723), List(7881, 10423), List(1088, 7288), List(2335, 9346), List(4885, 7382), List(1748, 9778), List(8090, 8318), List(7441, 10124), List(3, 3279), List(2360, 3926), List(493, 2914), List(3571, 4075), List(2894, 7997), List(6039, 10380), List(6712, 6716), List(5595, 6202), List(4385, 9661), List(1169, 9320), List(3817, 4481), List(7017, 10735), List(5905, 10565), List(9509, 11018), List(1388, 4897), List(2071, 4173), List(3893, 6196), List(5804, 6726), List(1509, 6355), List(8751, 9124), List(3494, 11560), List(5263, 9785), List(9810, 11131), List(4889, 7100), List(1752, 9496), List(2686, 10303), List(6939, 11202), List(9316, 10973), List(7585, 8344), List(2734, 5806), List(6524, 8893), List(5777, 7912), List(830, 11328), List(5899, 9595), List(6556, 7650), List(7065, 9971), List(3639, 11510), List(4319, 4853), List(2603, 10426), List(2890, 9702), List(798, 6128), List(2444, 3199), List(8080, 8673), List(8264, 11234), List(2321, 10713), List(3868, 10057), List(4742, 6649), List(5679, 7727), List(9251, 9423), List(3346, 5222), List(3566, 9692), List(3748, 8420), List(4703, 10858), List(3285, 7198), List(5514, 6347), List(8623, 9073), List(1940, 7988), List(5008, 7707), List(1123, 7766), List(281, 1263), List(1153, 3444), List(336, 970), List(3152, 10991), List(3637, 3866), List(4474, 11156), List(1186, 2803), List(10263, 11210), List(4041, 11274), List(7211, 8237), List(5648, 8390), List(3246, 9498), List(1945, 7177), List(10217, 11215), List(1946, 4369), List(5404, 11413), List(6550, 9659), List(5588, 6804), List(9222, 10132), List(315, 8737), List(2622, 10021), List(3359, 3898), List(8718, 11538), List(4217, 6373), List(532, 858), List(8716, 10711), List(690, 7860), List(8497, 9095), List(756, 5447), List(9710, 10071), List(2748, 5407), List(346, 7269), List(5788, 10248), List(2180, 5889), List(6039, 7615), List(1868, 2584), List(5663, 8267), List(5030, 8354), List(1606, 6556), List(4886, 8575), List(1180, 1429), List(1075, 3887), List(651, 8255), List(4691, 5855), List(6621, 10599), List(2347, 6941), List(3663, 3878), List(2598, 10724), List(6457, 9444), List(7678, 10281), List(8134, 10332), List(5901, 10660), List(8348, 8571), List(5371, 8216), List(2586, 3924), List(7076, 8146), List(8629, 11442), List(40, 6007), List(9158, 10251), List(5519, 11497), List(8069, 10287), List(7413, 10922), List(6, 9806), List(8564, 10266), List(8222, 9748), List(332, 1870), List(3177, 10377), List(3571, 10304), List(4010, 4716), List(799, 10381), List(9013, 10277), List(1807, 10171), List(773, 4996), List(3761, 7395), List(2472, 11500), List(5832, 8587), List(4651, 11286), List(6201, 10147), List(4329, 8791), List(6419, 11538), List(4575, 5814), List(10343, 11407), List(932, 2400), List(5603, 6256), List(2647, 6778), List(2588, 9581), List(9059, 10221), List(6106, 10260), List(230, 10961), List(1614, 2205), List(7153, 8500), List(8381, 9754), List(1750, 5449), List(4140, 6236), List(4790, 9536), List(4230, 8381), List(1321, 2333), List(7585, 11540), List(364, 3986), List(6872, 9389), List(8174, 8902), List(2849, 7262), List(5875, 7479), List(2514, 10167), List(479, 711), List(8293, 9533), List(46, 7245), List(7926, 8019), List(1732, 3715), List(2501, 2765), List(4494, 5579), List(2063, 2539), List(3081, 8709), List(724, 1646), List(11236, 11408), List(4455, 9788), List(2650, 3238), List(6909, 11499), List(3387, 9166), List(7972, 10996), List(522, 9052), List(472, 3273), List(3886, 4383), List(2141, 4300), List(2361, 6518), List(5232, 9830), List(1211, 10028), List(4326, 7284), List(9135, 10350), List(6082, 10939), List(3313, 11287), List(5142, 9563), List(4094, 4682), List(9006, 10879), List(162, 4171), List(1760, 4958), List(982, 4664), List(484, 10049), List(6570, 10878), List(288, 6727), List(7509, 7865), List(718, 5557), List(3674, 5035), List(4670, 7474), List(4619, 10138), List(1526, 1529), List(1677, 8114), List(3955, 4496), List(1830, 9110), List(351, 1010), List(3016, 10138), List(4224, 5852), List(1634, 2001), List(3925, 9168), List(1451, 3048), List(2259, 7688), List(2644, 7499), List(2639, 7155), List(1414, 3166), List(1195, 1550), List(9942, 11331), List(5721, 8435), List(1447, 2525), List(1202, 8356), List(7769, 9458), List(1472, 3521), List(721, 11466), List(3619, 10939), List(4395, 4744), List(5107, 8922), List(7163, 10587), List(1153, 4680), List(5110, 6187), List(3429, 4399), List(8043, 11131), List(215, 4131), List(9528, 9597), List(8026, 9272), List(5421, 10775), List(404, 620), List(4078, 5976), List(6559, 8379), List(5196, 9344), List(4440, 10529), List(5107, 9272), List(364, 4604), List(3225, 7228), List(2354, 10153), List(2812, 7998), List(6189, 9950), List(79, 10255), List(2290, 9579), List(3712, 9194), List(4247, 6320), List(888, 9835), List(690, 2680), List(2594, 6957), List(1508, 2346), List(9221, 10362), List(415, 10554), List(8973, 10260), List(5893, 9026), List(845, 10138), List(2048, 5508), List(809, 4065), List(55, 5323), List(3549, 7860), List(3308, 5519), List(1933, 10631), List(3397, 8220), List(2903, 7685), List(864, 7155), List(8594, 10614), List(750, 10251), List(5294, 11326), List(5777, 7538), List(8309, 11384), List(2454, 6546), List(1301, 4123), List(6557, 10130), List(7278, 10644), List(2976, 8348), List(1983, 10344), List(3253, 6936), List(2136, 11340), List(6207, 10505), List(54, 2038), List(3106, 7640), List(3068, 4904), List(3379, 9492), List(2627, 7413), List(6892, 7575), List(6417, 10500), List(5396, 10448), List(3142, 6546), List(5328, 9001), List(4827, 11459), List(5799, 8586), List(278, 2870), List(717, 3671), List(7972, 10809), List(3547, 4730), List(6967, 8284), List(8035, 8125), List(1421, 11371), List(4043, 7563), List(8365, 10511), List(3200, 3868), List(1486, 5350), List(247, 3907), List(464, 2444), List(6369, 6645), List(2822, 10109), List(3939, 4207), List(1454, 10730), List(5628, 6610), List(893, 1803), List(5306, 10531), List(332, 3456), List(7270, 8443), List(1418, 8040), List(4429, 7225), List(2352, 8847), List(573, 3518), List(6711, 10142), List(1092, 8055), List(9440, 11149), List(3552, 10335), List(4856, 5757), List(3679, 5192), List(3001, 6260), List(8226, 10702), List(1877, 8739), List(884, 10735), List(3804, 4140), List(528, 9410), List(2804, 9129), List(8057, 9203), List(1222, 10730), List(3512, 3739), List(3171, 7610), List(9641, 10277), List(6028, 6328), List(1298, 8281), List(9300, 9984), List(7901, 11292), List(2648, 4802), List(6343, 11035), List(3970, 11383), List(3593, 9181), List(1829, 11300), List(4556, 5064), List(6030, 9757), List(1753, 5828), List(3776, 5101), List(502, 618), List(5613, 10408), List(6610, 9285), List(3112, 9258), List(2284, 2431), List(413, 3929), List(98, 9021), List(4019, 5209), List(7718, 8932), List(2993, 11229), List(899, 10992), List(4739, 7750), List(6193, 6903), List(4663, 8694), List(4252, 6908), List(4690, 6353), List(5469, 10255), List(10042, 10570), List(5136, 7571), List(2724, 8745), List(7149, 8408), List(1643, 8642), List(3322, 10357), List(3038, 4182), List(4810, 8340), List(3595, 11455), List(2291, 2447), List(2387, 9325), List(9551, 9929), List(236, 8554), List(6765, 8418), List(1725, 9391), List(2682, 5486), List(4249, 6960), List(264, 6815), List(9006, 9082), List(919, 4797), List(2470, 11430), List(6661, 10697), List(7093, 11108), List(69, 3314), List(965, 10053), List(67, 2487), List(5139, 10851), List(3334, 10717), List(2706, 6230), List(686, 9140), List(9094, 11531), List(4798, 10558), List(2798, 9202), List(8149, 9811), List(3326, 9321), List(236, 7399), List(1211, 4043), List(5743, 8521), List(2485, 7924), List(5403, 11082), List(8672, 8805), List(2046, 4844), List(5678, 6591), List(4165, 10241), List(1073, 1076), List(10029, 11408), List(1013, 4408), List(1190, 5044), List(3117, 11025), List(3593, 10954), List(350, 1620), List(792, 1965), List(7698, 8949), List(310, 8637), List(538, 10716), List(6608, 11012), List(3363, 11431), List(526, 2785), List(6040, 11494), List(2272, 5722), List(4493, 5734), List(2867, 7063), List(1466, 7544), List(2985, 11256), List(6660, 10421), List(368, 4828), List(1766, 11219), List(1735, 8900), List(1556, 7437), List(5943, 10780), List(2488, 7417), List(6875, 9262), List(3628, 8854), List(603, 11491), List(2786, 10265), List(3065, 3264), List(114, 1878), List(487, 7344), List(51, 7191), List(7076, 11423), List(1011, 5809), List(507, 1580), List(3813, 4820), List(4778, 7192), List(4874, 7654), List(4800, 9425), List(5775, 6069), List(3332, 7930), List(787, 816), List(5699, 7013), List(10330, 10716), List(10868, 11523), List(6164, 8281), List(2982, 6770), List(8897, 9407), List(5875, 11561), List(3357, 9276), List(7834, 9883), List(4250, 10082), List(6805, 9216), List(3231, 4441), List(805, 1745), List(8975, 11168), List(47, 6267), List(9195, 9222), List(2753, 11232), List(1514, 9789), List(4413, 8733), List(6986, 7692), List(3213, 5740), List(666, 11385), List(1294, 4538), List(5614, 10823), List(853, 11211), List(1281, 9968), List(3430, 7660), List(2432, 9312), List(2394, 6576), List(4269, 5197), List(3488, 5386), List(3525, 10149), List(2732, 5817), List(5782, 11346), List(6692, 7595), List(7225, 10310), List(2704, 4523), List(3419, 5966), List(802, 6708), List(1889, 7757), List(777, 8341), List(493, 8582), List(4041, 5720), List(397, 2458), List(2950, 4175), List(1867, 3245), List(9356, 10055), List(3475, 6248), List(3628, 7244), List(4032, 4853), List(7574, 10844), List(3102, 4919), List(5108, 8749), List(9722, 11317), List(233, 7315), List(1570, 5883), List(3404, 10919), List(1995, 4369), List(1997, 5196), List(190, 4235), List(3070, 5381), List(948, 3096), List(1624, 6119), List(5705, 5972), List(884, 5555), List(6880, 9874), List(2157, 6582), List(2408, 10365), List(3361, 11222), List(2900, 3657), List(68, 273), List(7342, 7461), List(3955, 8928), List(1240, 5375), List(5875, 6568), List(3958, 6193), List(10649, 11303), List(3390, 6675), List(563, 3635), List(9088, 11529), List(5382, 6635), List(4728, 5845), List(7243, 7832), List(3349, 10057), List(8206, 10131), List(477, 6520), List(4043, 11377), List(671, 9769), List(917, 6792), List(2345, 11140), List(46, 9717), List(1823, 6305), List(7265, 8530), List(6086, 11302), List(546, 1372), List(360, 9318), List(5406, 11543), List(922, 10519), List(328, 3364), List(2754, 6814), List(600, 1608), List(4053, 8308), List(1283, 5802), List(8287, 9157), List(9247, 11185), List(2771, 3785), List(4993, 6651), List(1440, 9169), List(1381, 5556), List(2773, 3831), List(2895, 8924), List(6449, 10014), List(907, 9837), List(1813, 10848), List(3269, 4412), List(1280, 1717), List(1397, 3056), List(3105, 9673), List(3763, 4920), List(5186, 8924), List(3761, 8257), List(4635, 4849), List(3821, 8308), List(3998, 7446), List(5682, 9505), List(7056, 10584), List(990, 11161), List(3911, 11584), List(2120, 4740), List(5697, 6780), List(10471, 11515), List(1091, 4827), List(6047, 10542), List(6172, 9490), List(3925, 8257), List(6532, 7581), List(12, 10432), List(5053, 5897), List(134, 5699), List(7658, 10810), List(7286, 8952), List(5438, 5738), List(5637, 9331), List(708, 1275), List(6129, 9793), List(1062, 5937), List(6620, 10030), List(2229, 11449), List(4109, 11168), List(5594, 9634), List(7306, 7325), List(124, 4607), List(1197, 4068), List(1955, 9345), List(6652, 11416), List(947, 3893), List(10871, 11233), List(951, 10428), List(7202, 9604), List(3222, 9803), List(8855, 10098), List(6830, 7746), List(2600, 7770), List(6545, 7762), List(10495, 11104), List(1758, 2765), List(4585, 6559), List(4674, 9260), List(1186, 6511), List(3421, 9639), List(2330, 4684), List(1182, 2605), List(210, 3226), List(657, 3915), List(6388, 6997), List(5285, 10353), List(6941, 10364), List(4453, 10954), List(3732, 11194), List(4205, 6688), List(3107, 4726), List(3738, 7976), List(8153, 11115), List(6899, 10892), List(1789, 3956), List(3882, 11138), List(3872, 4034), List(1514, 5414), List(1258, 1287), List(6887, 10508), List(54, 8698), List(696, 5721), List(3373, 5784), List(8295, 10417), List(4549, 6878), List(825, 4788), List(3435, 10045), List(2380, 11163), List(3024, 4849), List(1941, 7329), List(3770, 6359), List(7825, 11407), List(1003, 6780), List(8442, 10063), List(2396, 8663), List(2334, 7031), List(4020, 9917), List(2086, 11066), List(7927, 11310), List(1831, 3377), List(9422, 10464), List(2047, 8105), List(1075, 4562), List(517, 5732), List(1888, 9546), List(7557, 9498), List(7083, 8861), List(508, 11281), List(2968, 7145), List(5927, 10304), List(693, 11034), List(7472, 9575), List(8597, 9950), List(3958, 11267), List(3557, 10923), List(2647, 8258), List(9380, 9807), List(258, 1657), List(4012, 11503), List(781, 3684), List(5137, 5462), List(6317, 9708), List(398, 7329), List(4413, 8814), List(2928, 3932), List(7253, 10561), List(3366, 7541), List(3547, 4169), List(4476, 6884), List(1335, 5374), List(5195, 9200), List(978, 10240), List(10038, 11096), List(7170, 7301), List(1201, 5559), List(1543, 8706), List(1608, 3439), List(6608, 9483), List(445, 6744), List(2910, 9368), List(4555, 5083), List(2748, 10538), List(4312, 5325), List(5339, 9329), List(690, 9958), List(4427, 5837), List(1681, 7889), List(4893, 5078), List(1498, 8182), List(4180, 9343), List(6206, 8133), List(3486, 11406), List(3985, 5869), List(1562, 9106), List(11457, 11544), List(2116, 10446), List(7536, 9694), List(10832, 11492), List(7437, 8934), List(9092, 10255), List(1855, 9358), List(5320, 6993), List(5196, 9401), List(1139, 3526), List(3112, 9852), List(5058, 8713), List(3573, 3831), List(2914, 4949), List(395, 6226), List(8920, 9956), List(4663, 5905), List(762, 11123), List(6899, 8477), List(860, 1078), List(22, 4143), List(2852, 7454), List(1450, 2075), List(3072, 9672), List(1955, 9158), List(8390, 10141), List(3662, 6505), List(730, 11585), List(6189, 10007), List(2784, 6007), List(358, 3311), List(3379, 10354), List(5330, 7307), List(9595, 9721), List(3178, 9317), List(1254, 11181), List(4218, 11274), List(8721, 10096), List(101, 9512), List(92, 7514), List(10145, 10538), List(2612, 7593), List(5767, 10664), List(4764, 11218), List(7622, 7909), List(6099, 6707), List(3516, 5525), List(4130, 7670), List(5904, 6239), List(6910, 8612), List(1459, 2137), List(6498, 9607), List(4010, 10197), List(2601, 5899), List(2174, 10750), List(233, 6591), List(5002, 10982), List(3065, 4313), List(3538, 4725), List(3784, 4000), List(5368, 5855), List(2171, 4036), List(4602, 7076), List(7957, 10235), List(9476, 10537), List(6052, 6487), List(5964, 6640), List(1439, 3363), List(76, 3574), List(5024, 5264), List(7582, 8079), List(2534, 5027), List(3833, 6521), List(3181, 8810), List(4364, 6157), List(3125, 8878), List(35, 6956), List(317, 5888), List(5012, 11296), List(5643, 8130), List(1689, 3888), List(2372, 3164), List(125, 2685), List(1868, 6105), List(7778, 10650), List(1217, 11248), List(153, 1700), List(187, 530), List(2210, 6219), List(7559, 8253), List(9427, 10621), List(4045, 8447), List(242, 10036), List(3015, 10561), List(3287, 8805), List(8698, 9465), List(1296, 3031), List(272, 5714), List(2605, 5967), List(5148, 9248), List(8052, 9290), List(6963, 8572), List(8083, 8603), List(4089, 10624), List(7604, 7622), List(1442, 6239), List(2906, 6080), List(5120, 11337), List(2563, 2708), List(2590, 10947), List(2766, 3067), List(1532, 1968), List(1471, 8108), List(1273, 3205), List(944, 5181), List(6324, 10692), List(8908, 10564), List(9801, 11370), List(7437, 9552), List(1952, 3493), List(6530, 10568), List(3042, 4813), List(1772, 8221), List(2611, 5758), List(7862, 11421), List(5632, 6385), List(2297, 10294), List(3720, 7882), List(3756, 7539), List(4034, 8981), List(6124, 10230), List(10136, 11444), List(1299, 8159), List(3653, 9289), List(6827, 10158), List(4869, 9782), List(9946, 11320), List(1639, 8981), List(4311, 8700), List(7232, 11375), List(1280, 6604), List(972, 2287), List(5400, 6385), List(1092, 7307), List(2284, 2488), List(2812, 9023), List(2960, 5511), List(1717, 6578), List(3489, 8484), List(5266, 6570), List(7282, 11088), List(3230, 4059), List(959, 8067), List(4818, 9039), List(3434, 10655), List(172, 1271), List(3036, 9828), List(4244, 9706), List(6608, 11524), List(851, 3057), List(2816, 5358), List(6487, 7033), List(1788, 8299), List(5215, 9614), List(2412, 10378), List(4432, 5970), List(130, 6680), List(4278, 5503), List(3922, 4178), List(1654, 4320), List(8479, 10376), List(1758, 8807), List(3329, 6293), List(2809, 4537), List(2000, 8340), List(3583, 3931), List(10890, 11259), List(2932, 9074), List(5048, 10790), List(3543, 4532), List(3329, 9676), List(5008, 11391), List(3415, 5286), List(2274, 4378), List(3826, 4066), List(1742, 6769), List(3327, 9603), List(3755, 5354), List(3512, 8602), List(4260, 6775), List(4592, 9234), List(808, 7093), List(2045, 7709), List(6126, 7562), List(1138, 8725), List(3438, 6586), List(3720, 6272), List(2345, 11384), List(3661, 9075), List(8017, 10853), List(10405, 10813), List(391, 11127), List(2810, 6236), List(7608, 9113), List(2249, 11272), List(1507, 4219), List(4480, 7084), List(5073, 8352), List(8304, 9755), List(38, 3253), List(65, 11492), List(1113, 9957), List(4141, 4585), List(2665, 3229), List(4452, 9173), List(1046, 2319), List(10422, 11517), List(1606, 6857), List(6026, 6176), List(1697, 6221), List(2139, 7320), List(3789, 4133), List(3515, 5062), List(2851, 5836), List(3843, 10031), List(328, 2453), List(6277, 6926), List(1858, 4045), List(762, 9326), List(1481, 1843), List(3026, 7530), List(5886, 9929), List(3277, 8280), List(875, 2972), List(2958, 3050), List(4131, 6125), List(5827, 9699), List(1152, 4943), List(674, 2689), List(780, 3085), List(1153, 2135), List(83, 1467), List(9743, 10424), List(1052, 4712), List(4450, 5289), List(6036, 10223), List(652, 806), List(7922, 9006), List(1043, 10261), List(9293, 9814), List(6614, 8924), List(293, 3347), List(5430, 5690), List(256, 9881), List(3893, 6310), List(2996, 8014), List(726, 11493), List(4427, 5463), List(1158, 5488), List(3525, 6823), List(6147, 7179), List(5015, 5633), List(6923, 7400), List(5395, 5854), List(997, 10266), List(3263, 9297), List(2053, 6340), List(7283, 11126), List(321, 10626), List(10837, 11462), List(596, 6889), List(656, 6940), List(3550, 5540), List(5071, 10079), List(1518, 6181), List(2490, 3308), List(6385, 6943), List(298, 8952), List(3043, 7429), List(1737, 4010), List(7172, 9982), List(145, 4923), List(3978, 4674), List(9752, 10112), List(4962, 5598), List(1446, 10627), List(3559, 9416), List(2750, 6803), List(5893, 8359), List(3441, 10858), List(6242, 6261), List(3379, 3564), List(1321, 9400), List(595, 8542), List(10594, 11303), List(3177, 5335), List(2308, 2671), List(4047, 5191), List(6413, 11219), List(2901, 7322), List(10296, 10333), List(11524, 11587), List(2548, 5514), List(1710, 8579), List(5297, 11307), List(464, 5965), List(593, 1649), List(407, 9595), List(1147, 9405), List(4142, 8811), List(10360, 11257), List(4732, 5644), List(4164, 6126), List(6469, 10747), List(3919, 10459), List(5032, 8565), List(4285, 7584), List(4594, 9093), List(3756, 5742), List(5779, 7267), List(2317, 9149), List(3965, 9299), List(5589, 11307), List(6489, 9120), List(7199, 10219), List(301, 8014), List(6829, 9188), List(4430, 10567), List(827, 7306), List(6269, 8033), List(199, 1321), List(7855, 8803), List(4302, 9069), List(8809, 11016), List(1989, 3806), List(1901, 8123), List(1120, 1142), List(2486, 4612), List(5013, 7360), List(3736, 9597), List(5575, 9315), List(2464, 5762), List(2392, 4196), List(869, 2994), List(26, 5715), List(6999, 9757), List(5595, 9967), List(3955, 8180), List(5096, 6836), List(994, 1942), List(3323, 11121), List(7748, 8532), List(7249, 7653), List(1648, 10279), List(4587, 7898), List(9731, 10658), List(9268, 9436), List(7229, 8125), List(344, 9565), List(4855, 9002), List(4803, 8812), List(9500, 10883), List(1372, 10007), List(2502, 10726), List(5140, 5199), List(2122, 11259), List(1752, 3812), List(5234, 8998), List(4418, 5214), List(1147, 4412), List(596, 1091), List(1745, 6024), List(1743, 2945), List(7471, 11391), List(3452, 6000), List(496, 6522), List(494, 10613), List(1764, 7205), List(6192, 10549), List(203, 9683), List(616, 5126), List(764, 1614), List(1861, 4105), List(636, 5778), List(4314, 10876), List(5964, 7689), List(10002, 10878), List(102, 5844), List(3723, 8156), List(5397, 9527), List(8540, 11083), List(3750, 5815), List(750, 10202), List(4029, 8613), List(2331, 8376), List(668, 11301), List(286, 8755), List(8338, 9821), List(1746, 4690), List(4230, 11528), List(2145, 2709), List(7910, 11037), List(928, 2745), List(7157, 9487), List(1959, 2704), List(2893, 9927), List(1202, 6697), List(1663, 5594), List(50, 7882), List(2015, 3767), List(3756, 6360), List(6462, 11325), List(3936, 5015), List(4522, 10774), List(8455, 8477), List(2505, 6785), List(1908, 2365), List(3367, 6026), List(6450, 6777), List(5920, 9995), List(2615, 3947), List(8597, 10812), List(4060, 10154), List(947, 6528), List(6210, 7290), List(4739, 6278), List(1026, 4377), List(3615, 8757), List(3556, 11560), List(3708, 8167), List(2084, 6913), List(3230, 5913), List(2926, 8131), List(5508, 11340), List(9121, 9627), List(7748, 9150), List(5434, 6695), List(4439, 7864), List(3539, 3635), List(9679, 11086), List(4215, 6658), List(3999, 10975), List(5088, 9441), List(3689, 9995), List(2319, 9789), List(5624, 9421), List(1575, 8325), List(1946, 10712), List(7352, 11028), List(561, 8720), List(3181, 8249), List(5328, 11530), List(505, 4624), List(2623, 3003), List(1835, 6185), List(6764, 7825), List(2273, 9794), List(6763, 7600), List(627, 3274), List(4511, 10160), List(7405, 8006), List(464, 4973), List(1147, 1997), List(2107, 4779), List(3724, 11278), List(5403, 6577), List(5840, 7332), List(1456, 3506), List(485, 2817), List(8955, 11004), List(4813, 6711), List(1795, 6355), List(397, 10517), List(3563, 10771), List(4994, 8220), List(794, 6955), List(696, 4168), List(5370, 10951), List(3705, 6690), List(1525, 7433), List(977, 2875), List(4616, 6547), List(3774, 7958), List(4889, 7645), List(3927, 8954), List(3619, 4637), List(4025, 5325), List(3017, 6289), List(408, 10302), List(7217, 7554), List(26, 1340), List(8559, 9849), List(589, 6149), List(8465, 9433), List(5003, 11315), List(3016, 3031), List(3076, 3836), List(5125, 10746), List(5161, 6239), List(3767, 7137), List(2084, 2270), List(477, 1397), List(2384, 5191), List(2812, 8112), List(3696, 5392), List(4940, 7933), List(5205, 9170), List(5800, 6347), List(7141, 11450), List(1441, 3517), List(5637, 8046), List(389, 1900), List(1318, 2363), List(6474, 8920), List(9614, 10959), List(4171, 4345), List(5764, 11204), List(3823, 7045), List(378, 11540), List(8083, 9115), List(2644, 5653), List(2427, 5618), List(3987, 11583), List(3881, 4771), List(3010, 7696), List(66, 9733), List(1027, 2537), List(777, 8024), List(5352, 9166), List(728, 10791), List(2264, 6536), List(6405, 10604), List(8177, 8346), List(9949, 10252), List(608, 9908), List(9720, 10954), List(506, 9631), List(2935, 5428), List(10844, 11104), List(7728, 7961), List(3681, 6938), List(8782, 9624), List(2283, 11100), List(840, 1556), List(8897, 10513), List(2980, 11213), List(3083, 6430), List(4972, 11173), List(63, 5247), List(1150, 6296), List(6649, 9809), List(8834, 10164), List(5938, 10737), List(8457, 10214), List(2454, 2472), List(3734, 6168), List(1272, 7979), List(1489, 6516), List(772, 6875), List(791, 11089), List(5001, 6626), List(3232, 9155), List(488, 700), List(4629, 11184), List(10905, 11356), List(1173, 10602), List(6116, 9696), List(3062, 7431), List(176, 8692), List(2156, 11301), List(2399, 4643), List(2428, 3129), List(5244, 6734), List(3995, 4603), List(3234, 4690), List(5604, 10460), List(5785, 6334), List(1740, 2728), List(8601, 9939), List(6918, 11488), List(8475, 11520), List(4609, 9377), List(8403, 9954), List(5106, 10183), List(624, 2816), List(4271, 6349), List(5103, 9131), List(1249, 2087), List(5067, 7222), List(3358, 9802), List(2484, 6794), List(10362, 10905), List(1979, 11008), List(2079, 2544), List(2879, 6569), List(5253, 9829), List(2832, 7477), List(4472, 9264), List(4480, 6873), List(3193, 8422), List(4689, 11184), List(1817, 9899), List(6483, 10405), List(7763, 8439), List(2976, 6852), List(3468, 7314), List(7795, 10606), List(448, 10295), List(8954, 9811), List(2678, 3253), List(107, 3586), List(3708, 6020), List(2591, 10424), List(5211, 9953), List(7945, 10550), List(7606, 11084), List(1030, 6486), List(3053, 8011), List(943, 7241), List(281, 2426), List(4166, 4619), List(2048, 6240), List(564, 10628), List(8871, 10715), List(8023, 8928), List(2212, 10778), List(4290, 9758), List(3352, 11461), List(181, 7857), List(3379, 3458), List(4605, 8049), List(333, 5218), List(1704, 1862), List(3942, 5261), List(6118, 7782), List(4903, 10897), List(4712, 11329), List(8447, 10545), List(8070, 8343), List(97, 5126), List(5652, 9672), List(2443, 5584), List(666, 1082), List(4719, 5303), List(2322, 7509), List(2687, 5944), List(7293, 8651), List(6895, 7824), List(2709, 4013), List(1155, 1246), List(2003, 3033), List(1841, 4203), List(10096, 11270), List(292, 1780), List(2710, 3834), List(2636, 5605), List(2331, 11385), List(2957, 10127), List(3697, 8439), List(9366, 9889), List(5792, 11530), List(3363, 9317), List(6072, 8137), List(10795, 11429), List(275, 6687), List(2417, 3208), List(9956, 10105), List(3067, 11426), List(6993, 7204), List(3626, 6694), List(2421, 10497), List(5282, 6705), List(5927, 7409), List(2312, 2633), List(5871, 10483), List(785, 3941), List(5179, 6957), List(2193, 4604), List(1102, 9475), List(7531, 10643), List(4205, 5216), List(9593, 11342), List(6658, 10489), List(3146, 6592), List(7822, 10038), List(1874, 9173), List(5888, 7804), List(3085, 8568), List(6497, 8851), List(2806, 9907), List(6029, 6531), List(4728, 8374), List(29, 5476), List(2047, 10821), List(5686, 10329), List(10173, 10870), List(3260, 6879), List(4168, 9471), List(3411, 7048), List(983, 1273), List(153, 11369), List(81, 2633), List(8891, 9730), List(7456, 8375), List(8866, 11363), List(2080, 9399), List(10007, 10019), List(4561, 10304), List(4282, 4473), List(1694, 9363), List(6241, 8457), List(1033, 7402), List(8670, 10670), List(974, 3789), List(1975, 8824), List(220, 8053), List(722, 9203), List(1878, 8891), List(9591, 10491), List(431, 6021), List(5355, 7317), List(960, 4830), List(1113, 5826), List(1643, 2608), List(3579, 11304), List(649, 10795), List(4164, 7793), List(2858, 2876), List(9363, 11014), List(7558, 10880), List(616, 1987), List(4201, 11058), List(8306, 9053), List(8182, 10707), List(2389, 9753), List(6330, 6593), List(366, 10857), List(5782, 6199), List(5118, 6973), List(3879, 5530), List(732, 6484), List(2531, 9055), List(824, 3040), List(607, 4503), List(98, 2182), List(6386, 10285), List(10035, 10481), List(9750, 10497), List(2871, 6090), List(1993, 5592), List(4453, 7872), List(5262, 9704), List(5854, 7364), List(3288, 7317), List(3227, 9293), List(1270, 5355), List(10198, 11010), List(3408, 11556), List(82, 4631), List(2038, 10596), List(10587, 10970), List(2598, 3056), List(2407, 3488), List(6673, 8756), List(1121, 7891), List(7753, 9388), List(8539, 10297), List(2063, 2897), List(2584, 8261), List(6345, 6446), List(4020, 10218), List(257, 8954), List(2062, 3426), List(904, 7075), List(181, 9898), List(6882, 10034), List(996, 9293), List(6197, 9177), List(2212, 9786), List(4853, 10192), List(5850, 9069), List(2488, 8149), List(6743, 9875), List(3689, 6856), List(332, 7034), List(2567, 6752), List(3513, 9074), List(675, 7373), List(10692, 10740), List(4742, 9048), List(727, 6782), List(1190, 1588), List(2315, 6127), List(725, 10119), List(4835, 8458), List(1621, 8190), List(4458, 6256), List(7223, 9172), List(4647, 9161), List(9688, 11042), List(3994, 11225), List(2344, 8750), List(5234, 9860), List(4339, 8227), List(932, 7564), List(806, 11397), List(5388, 7294), List(6193, 8253), List(1592, 10054), List(938, 11516), List(413, 8662), List(1589, 9756), List(868, 9242), List(5689, 7407), List(1451, 9822), List(615, 3134), List(1456, 10166), List(5064, 7355), List(1731, 5675), List(8761, 10251), List(9974, 10473), List(9583, 10817), List(6739, 11580), List(1638, 9648), List(4779, 8125), List(4785, 11323), List(9632, 10709), List(1418, 4397), List(4737, 7899), List(4675, 7021), List(697, 3883), List(1228, 3519), List(4808, 9994), List(3306, 9669), List(3342, 9326), List(2093, 7195), List(5955, 7684), List(5621, 8562), List(509, 7969), List(6534, 10774), List(2341, 3510), List(5396, 9383), List(4326, 8715), List(5102, 8936), List(1062, 9084), List(7445, 9877), List(7106, 10411), List(6784, 7916), List(3673, 11533), List(335, 8755), List(216, 7343), List(710, 4468), List(4331, 6780), List(1741, 8591), List(901, 10829), List(270, 1163), List(2078, 4978), List(7363, 10225), List(7275, 7372), List(432, 9038), List(6120, 9040), List(1359, 9428), List(3819, 10954), List(115, 1225), List(3342, 5138), List(6301, 10549), List(9262, 10371), List(5272, 10636), List(2006, 10178), List(1290, 4346), List(1539, 5050), List(4612, 5113), List(2924, 5564), List(1036, 5927), List(8224, 9591), List(4580, 6329), List(5010, 11575), List(347, 1918), List(101, 3397), List(2671, 5091), List(6196, 6941), List(3830, 4296), List(1268, 1739), List(3735, 5190), List(6166, 8230), List(2800, 4158), List(1394, 10711), List(918, 7749), List(3445, 10497), List(7332, 7855), List(2581, 8931), List(3722, 6833), List(1480, 6698), List(3498, 7879), List(609, 3207), List(227, 7077), List(6682, 9436), List(698, 8914), List(11222, 11523), List(5393, 7906), List(2509, 3578), List(293, 8828), List(7786, 8210), List(2903, 3505), List(3040, 9630), List(2846, 7135), List(6669, 8450), List(6385, 8691), List(10118, 11244), List(4495, 10139), List(4526, 5288), List(5980, 10857), List(2690, 5841), List(4015, 6304), List(8003, 10130), List(2120, 9660), List(9093, 11450), List(3520, 5544), List(2116, 5754), List(2454, 5749), List(1927, 6986), List(5316, 11227), List(1962, 2254), List(618, 9685), List(4047, 5411), List(236, 7139), List(1648, 10954), List(2696, 8665), List(9177, 10747), List(2484, 4810), List(1171, 4384), List(3910, 6079), List(1601, 3968), List(732, 1304), List(6810, 7877), List(3844, 7711), List(2197, 11169), List(7481, 9802), List(10158, 10619), List(3341, 9342), List(51, 7736), List(2201, 11288), List(1472, 4497), List(4092, 11196), List(3686, 9754), List(5957, 9129), List(938, 10979), List(860, 9568), List(3214, 10698), List(5449, 10416), List(5793, 7974), List(1503, 3783), List(3762, 4272), List(4887, 8811), List(1427, 7356), List(8775, 9023), List(3076, 11114), List(4383, 10217), List(2008, 10492), List(370, 2362), List(2701, 8204), List(7209, 8124), List(710, 5436), List(3407, 6151), List(2440, 7116), List(9496, 9880), List(1622, 4390), List(3705, 10130), List(2213, 4077), List(7034, 8658), List(3635, 8610), List(1016, 5519), List(3293, 8092), List(5349, 5593), List(1357, 11447), List(5846, 9782), List(9640, 10359), List(3437, 10473), List(1205, 8774), List(3034, 7050), List(2745, 6947), List(5212, 5480), List(8192, 10270), List(883, 6279), List(8162, 11559), List(4370, 5393), List(2881, 9437), List(7069, 9941), List(818, 4349), List(2313, 10673), List(904, 4123), List(1401, 4175), List(2987, 3447), List(9404, 9486), List(316, 6582), List(27, 6479), List(4020, 10649), List(1649, 7660), List(935, 2655), List(2860, 7055), List(7161, 9126), List(5098, 10454), List(4110, 4126), List(2736, 6430), List(2605, 3503), List(1388, 9955), List(8050, 10163), List(770, 11074), List(1990, 8303), List(7585, 11524), List(5061, 8293), List(3595, 7625), List(6029, 7930), List(5031, 9582), List(4494, 5213), List(4089, 11543), List(8355, 10395), List(2870, 11506), List(7725, 9999), List(5177, 6374), List(6489, 6575), List(374, 6536), List(3263, 4792), List(2120, 9473), List(3059, 10624), List(9253, 9266), List(1345, 6444), List(6042, 8515), List(3528, 9382), List(4755, 10064), List(4884, 5748), List(6857, 7910), List(1059, 3606), List(5353, 10922), List(7660, 9954), List(1017, 3380), List(6164, 6411), List(1338, 6404), List(5476, 6791), List(2425, 4043), List(4130, 6979), List(4109, 6102), List(685, 4304), List(637, 880), List(2820, 4572), List(7773, 10770), List(2513, 9525), List(1264, 7394), List(4896, 9141), List(4223, 10553), List(2817, 9936), List(6552, 9152), List(8171, 10816), List(7205, 8219), List(3524, 11491), List(912, 3155), List(3747, 10974), List(3869, 5487), List(2210, 5178), List(3605, 7134), List(6750, 9517), List(55, 6917), List(254, 10510), List(4416, 9039), List(2678, 10881), List(1241, 8699), List(6366, 9527), List(459, 4499), List(932, 4157), List(7952, 8045), List(9206, 11274), List(895, 11445), List(4066, 8633), List(5551, 7099), List(454, 7538), List(710, 5249), List(1070, 3340), List(1672, 1688), List(3408, 6189), List(5364, 10656), List(3165, 6431), List(6681, 11201), List(697, 9925), List(6151, 8003), List(6822, 9928), List(2935, 6908), List(1065, 2215), List(1102, 11142), List(2035, 2679), List(40, 8837), List(998, 3622), List(8404, 8677), List(2034, 8843), List(98, 9192), List(2025, 4593), List(2143, 6534), List(2733, 9783), List(4, 3114), List(364, 7621), List(3885, 5565), List(4936, 9963), List(2140, 5482), List(240, 8494), List(1119, 5430), List(2418, 7678), List(6249, 10766), List(707, 10589), List(110, 6169), List(1233, 10635), List(101, 2673), List(7330, 8590), List(3899, 5621), List(604, 6677), List(3969, 11278), List(3972, 10795), List(874, 1842), List(5672, 11135), List(6890, 7537), List(3428, 9419), List(3113, 8095), List(970, 11349), List(6410, 7085), List(9221, 10346), List(2647, 6575), List(8086, 9283), List(2989, 3306), List(5255, 8753), List(1337, 9830), List(6252, 9882), List(3948, 5863), List(1456, 4799), List(2264, 9439), List(4416, 10812), List(488, 7791), List(5125, 9811), List(3750, 10759), List(2322, 6411), List(3846, 4805), List(10408, 11225), List(3591, 9948), List(3632, 9949), List(7739, 8771), List(5435, 7758), List(1445, 3105), List(3929, 9943), List(2654, 5837), List(8163, 10038), List(9259, 9675), List(3407, 10770), List(1700, 7761), List(1222, 4753), List(2691, 9102), List(2, 7524), List(6203, 6583), List(1913, 8808), List(856, 6093), List(9, 1498), List(318, 8669), List(7412, 8534), List(2405, 5483), List(5788, 7280), List(10177, 11450), List(4447, 11222), List(4511, 7265), List(2298, 11278), List(7059, 10890), List(8393, 9160), List(9084, 10209), List(3172, 11253), List(622, 6801), List(2826, 4200), List(11193, 11508), List(274, 9501), List(5809, 8507), List(207, 1109), List(243, 7936), List(4432, 10540), List(2076, 2167), List(1570, 10697), List(990, 8136), List(9424, 10250), List(8581, 8807), List(6215, 10326), List(9236, 10199), List(1387, 5328), List(2192, 9697), List(4038, 10586), List(2446, 5083), List(5090, 9170), List(5704, 10561), List(13, 10261), List(2616, 5679), List(2989, 11145), List(1238, 1448), List(9022, 11559), List(746, 4369), List(2743, 11089), List(155, 9563), List(7022, 10957), List(1519, 9954), List(306, 1064), List(6157, 8412), List(1726, 11186), List(3883, 8739), List(2885, 10391), List(114, 7660), List(603, 4441), List(360, 11099), List(1067, 2101), List(4675, 6460), List(5612, 6784), List(7291, 8499), List(1754, 3004), List(4145, 6645), List(1414, 9729), List(664, 4313), List(1254, 5310), List(8385, 10692), List(94, 2470), List(2371, 11459), List(1523, 9672), List(7064, 9624), List(5534, 11415), List(9207, 9753), List(2323, 11418), List(10480, 10780), List(4661, 7851), List(5930, 11388), List(4075, 4721), List(1571, 6306), List(4467, 11368), List(1656, 1691), List(720, 4221), List(6788, 10106), List(5950, 9007), List(293, 2656), List(7603, 9501), List(6791, 7371), List(5992, 6200), List(655, 2291), List(1090, 2219), List(3204, 8026), List(2027, 7461), List(1218, 4848), List(6825, 9584), List(5510, 9085), List(2965, 11393), List(7383, 7633), List(2051, 11238), List(10012, 10688), List(339, 4879), List(1994, 2036), List(2763, 7502), List(3375, 5814), List(8436, 9825), List(301, 1362), List(2446, 8734), List(7432, 10908), List(5062, 10773), List(919, 10042), List(2569, 11019), List(8104, 9271), List(7297, 8239), List(6421, 10820), List(5834, 7088), List(2501, 5408), List(8447, 9610), List(572, 2764), List(3899, 11045), List(9074, 9708), List(8090, 8814), List(6135, 7201), List(684, 726), List(5208, 10948), List(2767, 6466), List(6703, 10102), List(6168, 6560), List(499, 5110), List(1629, 5829), List(4702, 9275), List(342, 10007), List(1485, 5326), List(2677, 6923), List(1517, 7493), List(954, 9073), List(3965, 5225), List(1817, 10387), List(6767, 10652), List(2567, 9387), List(1094, 1132), List(2804, 8576), List(794, 840), List(3120, 6338), List(8197, 8630), List(876, 3124), List(2118, 8248), List(4306, 8120), List(13, 3658), List(2310, 4254), List(7967, 9107), List(879, 10188), List(24, 7230), List(1304, 9428), List(3182, 7566), List(2272, 4901), List(6062, 7988), List(1788, 2078), List(6407, 9154), List(5624, 7762), List(8612, 10161), List(2943, 4547), List(6709, 9492), List(272, 7682), List(5740, 8876), List(1392, 5461), List(1758, 9002), List(1689, 11117), List(7945, 9883), List(2845, 10805), List(1508, 8827), List(947, 10480), List(2723, 5712), List(3626, 4954), List(3003, 7981), List(7232, 7732), List(2103, 10168), List(4061, 11298), List(2438, 5728), List(4748, 11447), List(1350, 8618), List(10816, 10916), List(7874, 8138), List(730, 2494), List(405, 2734), List(6110, 11011), List(2502, 6652), List(1165, 2422), List(1024, 8633), List(3080, 6134), List(2651, 10158), List(2055, 9346), List(10052, 10705), List(6198, 7825), List(1344, 7268), List(7994, 10125), List(5033, 10303), List(8095, 10931), List(1022, 4773), List(1831, 4353), List(5786, 5787), List(5691, 8933), List(1945, 11056), List(1417, 2269), List(236, 4968), List(10137, 10604), List(7950, 9422), List(2263, 6612), List(3620, 5832), List(814, 3669), List(1135, 5939), List(7231, 7456), List(1966, 5867), List(5615, 10227), List(3003, 4143), List(340, 1534), List(7101, 11547), List(8255, 10408), List(4831, 9364), List(8721, 9649), List(8163, 10819), List(7931, 11250), List(2456, 2469), List(5126, 5525), List(2450, 8316), List(2059, 8660), List(6904, 11383), List(6465, 10555), List(4597, 9318), List(1287, 2172), List(4340, 11382), List(4288, 4776), List(7390, 10495), List(1757, 4538), List(7582, 10665), List(7926, 10475), List(3408, 4205), List(1407, 6411), List(3905, 5011), List(9280, 10178), List(687, 837), List(5834, 10284), List(129, 2007), List(9339, 10758), List(4640, 7860), List(2491, 7916), List(635, 10446), List(5907, 8318), List(442, 10805), List(7073, 8694), List(4978, 11238), List(9527, 10405), List(2767, 9662), List(5002, 9380), List(9150, 10455), List(839, 10626), List(4793, 9206), List(3878, 5443), List(7463, 8098), List(1572, 7767), List(5689, 7277), List(4443, 11079), List(2664, 5750), List(3190, 5042), List(951, 7834), List(6859, 10054), List(2346, 3374), List(176, 4805), List(4193, 7117), List(1287, 11166), List(3876, 4966), List(1003, 4991), List(2336, 6069), List(2461, 11433), List(9847, 10918), List(2225, 2266), List(4520, 6199), List(628, 9251), List(1927, 5083), List(7159, 10696), List(1754, 6818), List(4858, 6194), List(6, 48), List(3139, 7332), List(8443, 8849), List(3822, 5110), List(3768, 8257), List(9143, 9260), List(8184, 10086), List(6651, 8196), List(8311, 9861), List(765, 1793), List(5045, 5239), List(1769, 4093), List(2577, 8733), List(146, 5693), List(8394, 10835), List(6465, 8945), List(1299, 10745), List(2192, 5135), List(5368, 6831), List(7300, 8992), List(4179, 4751), List(576, 1490), List(3810, 7328), List(4873, 6071), List(3587, 10474), List(3098, 8031), List(2466, 10972), List(5083, 10984), List(2872, 5998), List(3646, 11054), List(282, 1393), List(2403, 10623), List(6570, 9496), List(2772, 5013), List(315, 7168), List(7871, 11036), List(1278, 3051), List(1517, 8729), List(994, 3292), List(2014, 3119), List(2855, 10151), List(3512, 8960), List(124, 6819), List(5535, 8233), List(4356, 6841), List(493, 8379), List(3067, 5311), List(4968, 5153), List(1472, 1789), List(3498, 7749), List(330, 10078), List(483, 11074), List(5304, 10737), List(2229, 7595), List(4126, 4285), List(1693, 4582), List(4798, 9818), List(2346, 5147), List(2189, 11579), List(5582, 7648), List(10463, 11526), List(3307, 4367), List(442, 11423), List(5005, 10296), List(1813, 8067), List(3205, 10506), List(60, 1707), List(7382, 10821), List(4174, 7335), List(5529, 5728), List(3481, 6590), List(4716, 10543), List(2319, 6333), List(3912, 9028), List(913, 5716), List(3371, 11333), List(8942, 9996), List(320, 8585), List(2069, 8787), List(8170, 10648), List(2816, 4106), List(1472, 4367), List(2755, 6082), List(876, 3555), List(5516, 11508), List(8597, 9934), List(1555, 3089), List(4580, 4589), List(5263, 8029), List(4332, 10903), List(3979, 9095), List(7624, 9549), List(833, 7241), List(3510, 7304), List(9579, 9627), List(9137, 9282), List(6461, 9821), List(2481, 5856), List(3253, 8587), List(5123, 7618), List(4650, 4954), List(1286, 10377), List(7762, 11361), List(3378, 7535), List(9257, 10515), List(7079, 7921), List(6588, 8061), List(6984, 8815), List(9509, 11490), List(1593, 8807), List(4891, 11432), List(4805, 5996), List(701, 10855), List(3373, 4158), List(3151, 5277), List(3839, 9815), List(7975, 9375), List(881, 3094), List(2247, 6564), List(1593, 5774), List(4355, 7638), List(5998, 6690), List(1742, 7745), List(6152, 10540), List(3769, 4508), List(2420, 5179), List(3421, 7208), List(2710, 8136), List(1512, 1806), List(2547, 9835), List(6339, 9585), List(362, 3818), List(6494, 7244), List(1726, 4209), List(4659, 8399), List(5891, 8671), List(3874, 11098), List(4927, 9153), List(4748, 7690), List(4147, 5780), List(260, 6924), List(320, 6975), List(4989, 6998), List(2862, 10785), List(263, 9824), List(6316, 8261), List(7157, 8877), List(4330, 5083), List(3327, 6391), List(6255, 10237), List(8713, 9438), List(1299, 2987), List(6911, 8821), List(8592, 11363), List(1051, 3639), List(1458, 1519), List(1138, 5513), List(3569, 9307), List(1946, 10907), List(3314, 8034), List(2290, 8465), List(4416, 10869), List(4750, 9991), List(8586, 10013), List(319, 6349), List(365, 6694), List(2188, 7407), List(1109, 7377), List(9033, 9951), List(5177, 6244), List(4394, 9016), List(6758, 10834), List(416, 6632), List(99, 10897), List(5333, 6757), List(3311, 8086), List(3891, 4231), List(7065, 11516), List(7412, 8591), List(2276, 9856), List(4332, 11521), List(2343, 4662), List(1247, 9189), List(3169, 4246), List(2804, 3559), List(2449, 11504), List(6525, 11013), List(1081, 7207), List(2744, 8389), List(303, 4661), List(2851, 9040), List(2519, 3575), List(5132, 9103), List(5465, 8000), List(3161, 6987), List(5062, 6829), List(795, 8506), List(55, 7942), List(4930, 7841), List(8161, 9998), List(8109, 9808), List(730, 3543), List(7858, 9408), List(102, 3974), List(3651, 10382), List(191, 9681), List(1975, 8938), List(227, 2922), List(1591, 5565), List(7157, 10300), List(4734, 4869), List(2984, 10858), List(2999, 5474), List(4924, 10628), List(8599, 9039), List(65, 1059), List(8437, 8711), List(150, 9276), List(1855, 3544), List(6689, 8330), List(2422, 5843), List(2570, 5741), List(5780, 8519), List(3848, 7112), List(3005, 5669), List(2258, 3934), List(5272, 7554), List(1536, 3949), List(1730, 4946), List(4118, 7912), List(2561, 4874), List(448, 6839), List(1483, 10704), List(9575, 9671), List(444, 2933), List(1202, 8210), List(3838, 8272), List(3186, 4145), List(352, 10514), List(4951, 11296), List(4268, 7856), List(4428, 9269), List(6637, 7766), List(1816, 3939), List(219, 3754), List(4608, 7924), List(64, 6849), List(781, 5709), List(2004, 6619), List(130, 4436), List(1434, 4022), List(1559, 9386), List(5937, 9233), List(560, 6649), List(8335, 9881), List(4779, 6466), List(2863, 8945), List(6839, 10502), List(1739, 5008), List(858, 7245), List(641, 3046), List(7043, 8053), List(5494, 5630), List(4437, 9331), List(2874, 8730), List(422, 649), List(5766, 6503), List(3183, 10239), List(4055, 6004), List(7881, 8748), List(200, 5151), List(5487, 11225), List(5564, 5995), List(3612, 8817), List(584, 1357), List(4139, 10963), List(2732, 5240), List(8332, 9559), List(517, 9180), List(4531, 7811), List(6494, 9285), List(8108, 9851), List(4448, 6056), List(1540, 9278), List(667, 9878), List(2754, 6692), List(696, 8364), List(859, 10048), List(3125, 8325), List(6203, 9486), List(6860, 7541), List(8606, 10478), List(447, 11043), List(4824, 5030), List(2246, 10608), List(4051, 4326), List(7600, 11488), List(2777, 3828), List(5244, 7279), List(2001, 8525), List(6013, 6329), List(223, 6050), List(5604, 11005), List(4613, 7412), List(2517, 6348), List(4046, 10748), List(6852, 7249), List(1281, 2170), List(6260, 9589), List(1967, 5127), List(5940, 7921), List(248, 11183), List(1924, 2047), List(1607, 6312), List(8961, 11177), List(2017, 8627), List(5253, 10374), List(797, 4228), List(4532, 7608), List(1228, 6666), List(4867, 10338), List(1820, 4326), List(1078, 10105), List(3382, 5456), List(1500, 2658), List(98, 9330), List(6431, 10760), List(2780, 10491), List(2150, 3679), List(2191, 3680), List(197, 641), List(8756, 10371), List(4112, 4928), List(2902, 8387), List(4581, 10102), List(1551, 5979), List(3613, 10842), List(6593, 11468), List(1950, 2463), List(957, 8623), List(5840, 9918), List(3968, 7808), List(4914, 6720), List(2886, 9732), List(5152, 8763), List(1272, 6914), List(4474, 9831), List(2359, 10969), List(1363, 6278), List(6151, 10719), List(3324, 6925), List(1077, 6446), List(1815, 9593), List(5094, 8758), List(5051, 5678), List(2124, 11102), List(2664, 8572), List(4183, 5868), List(4518, 7844), List(7697, 9811), List(2582, 8947), List(1878, 4630), List(6640, 7096), List(1189, 7037), List(8680, 10510), List(3482, 3727), List(4576, 8953), List(4229, 8091), List(4568, 8311), List(4850, 11407), List(1118, 5292), List(4509, 4698), List(3881, 5129), List(3410, 8927), List(10354, 11477), List(5435, 11279), List(6243, 9503), List(4595, 10484), List(5514, 6095), List(1286, 9198), List(4767, 5114), List(4612, 7455), List(2626, 5031), List(2316, 10467), List(2595, 3466), List(1251, 3727), List(2380, 11391), List(2750, 10170), List(214, 8834), List(5040, 9595), List(1926, 6525), List(6662, 8524), List(5413, 5639), List(3824, 6069), List(3113, 11161), List(1036, 8619), List(4267, 10022), List(587, 4851), List(5814, 10120), List(642, 4558), List(2670, 10591), List(836, 5555), List(239, 7551), List(3454, 10673), List(7052, 7174), List(3509, 11511), List(3220, 7244), List(2817, 10237), List(691, 1417), List(3262, 10853), List(4193, 7979), List(2388, 7845), List(103, 10292), List(2751, 5453), List(9442, 10563), List(1727, 5884), List(4557, 6943), List(787, 10924), List(4896, 6409), List(100, 9994), List(156, 11057), List(686, 1423), List(11244, 11530), List(8097, 9074), List(248, 1197), List(1237, 1711), List(3022, 10992), List(5321, 5999), List(4610, 6173), List(4471, 9801), List(1706, 6885), List(4694, 11536), List(3085, 8308), List(6720, 8074), List(1259, 3163), List(3911, 11275), List(3593, 6270), List(4816, 7180), List(1519, 7409), List(3411, 10171), List(4058, 7538), List(1503, 9158), List(1420, 6649), List(8299, 9558), List(1535, 4909), List(3188, 5403), List(2756, 5746), List(352, 10945), List(135, 5992), List(4204, 4330), List(3022, 3421), List(5945, 6923), List(4140, 6789), List(4578, 10398), List(1278, 6946), List(1532, 7994), List(8684, 11247), List(4174, 9002), List(5041, 10839), List(5072, 10152), List(1218, 3108), List(1989, 2985), List(2853, 5305), List(1146, 1542), List(4822, 9977), List(115, 802), List(6529, 7324), List(1654, 5890), List(5596, 9371), List(1835, 2518), List(145, 8558), List(3970, 4284), List(5814, 8510), List(1046, 7727), List(2541, 6881), List(4354, 4624), List(1888, 11197), List(8662, 9394), List(6060, 11168), List(1917, 3267), List(368, 7260), List(4023, 4295), List(5652, 6647), List(167, 2840), List(544, 3544), List(3276, 3314), List(7792, 9511), List(3098, 11121), List(880, 8374), List(8039, 9388), List(6731, 10060), List(8317, 8578), List(3181, 9843), List(2589, 5767), List(1756, 9176), List(856, 7199), List(1314, 2415), List(2530, 8570), List(5075, 7016), List(9407, 10652), List(8321, 9451), List(9959, 11165), List(5071, 9526), List(1624, 6778), List(4074, 7616), List(279, 1152), List(36, 7810), List(3795, 5168), List(2850, 9864), List(6346, 6812), List(2550, 10326), List(3663, 8432), List(2412, 9638), List(9571, 10652), List(5094, 10799), List(1606, 11460), List(3158, 11148), List(9414, 10668), List(6855, 7628), List(5898, 9281), List(2257, 3284), List(2418, 10557), List(7788, 11216), List(6041, 8054), List(3021, 11035), List(4461, 10482), List(2215, 6441), List(7526, 9903), List(5948, 8994), List(3511, 7637), List(1778, 3407), List(9900, 10130), List(86, 6368), List(2897, 9629), List(9822, 10247), List(5469, 5734), List(3160, 3623), List(2974, 5153), List(7645, 8255), List(3753, 10553), List(6060, 6175), List(3265, 10964), List(2286, 10414), List(8141, 8836), List(8760, 10571), List(3414, 8054), List(2166, 8777), List(5361, 10523), List(1720, 10942), List(6978, 11360), List(4087, 10779), List(3053, 5604), List(5792, 6545), List(821, 10321), List(8670, 11028), List(9243, 10166), List(1249, 8324), List(2990, 10917), List(3525, 8043), List(4679, 11068), List(68, 2355), List(3495, 3670), List(5795, 7947), List(492, 10038), List(8814, 11157), List(24, 1302), List(4082, 10031), List(1737, 8263), List(2546, 4460), List(4949, 5452), List(7148, 9677), List(8710, 10053), List(7244, 9385), List(3918, 8876), List(3665, 10682), List(9358, 11028), List(8114, 9241), List(4404, 4605), List(1885, 5882), List(4411, 9159), List(1849, 9608), List(1816, 7216), List(2530, 5805), List(5300, 9065), List(6239, 10216), List(2349, 7679), List(2497, 3413), List(6393, 7650), List(779, 5907), List(2341, 6283), List(8220, 9263), List(9508, 11322), List(1344, 4373), List(307, 435), List(1558, 9028), List(9362, 10746), List(5250, 9328), List(361, 3300), List(4660, 10960), List(3325, 7557), List(395, 2884), List(9613, 11496), List(212, 3177), List(2144, 3086), List(3510, 6556), List(1521, 3861), List(5564, 7394), List(7399, 9622), List(83, 4460), List(831, 9049), List(2717, 7859), List(456, 6920), List(3040, 6792), List(700, 3116), List(9853, 11333), List(6230, 11577), List(7593, 9114), List(191, 4932), List(10681, 10963), List(7515, 7703), List(5182, 7450), List(1999, 2331), List(1029, 5277), List(2214, 4205), List(2253, 9795), List(3497, 5166), List(3149, 10118), List(5976, 7496), List(1375, 9297), List(9771, 10927), List(5206, 8975), List(2028, 10616), List(1595, 10734), List(2294, 8291), List(403, 9137), List(6726, 9879), List(5358, 5582), List(1961, 6361), List(8616, 9562), List(1305, 11160), List(4096, 8127), List(4505, 6834), List(671, 6858), List(8802, 11415), List(640, 5293), List(9363, 9762), List(4895, 7019), List(540, 8095), List(4034, 10632), List(9206, 9778), List(607, 9317), List(4130, 11094), List(2872, 11129), List(3692, 10868), List(4556, 6772), List(450, 8552), List(4646, 6665), List(3123, 4709), List(4148, 5634), List(2842, 2969), List(375, 2901), List(3427, 9257), List(6290, 6292), List(3946, 7378), List(1212, 4529), List(804, 2260), List(803, 9205), List(2016, 5263), List(5536, 6769), List(4600, 9299), List(732, 10493), List(1076, 3887), List(8610, 10440), List(2297, 4724), List(862, 3369), List(7956, 8869), List(5303, 6948), List(5246, 10578), List(7318, 8612), List(3467, 5249), List(9134, 10036), List(7169, 8489), List(3518, 7466), List(6073, 6600), List(3953, 7394), List(5453, 6892), List(2277, 2944), List(375, 11545), List(5387, 8524), List(1901, 4350), List(2706, 7938), List(4113, 4993), List(9827, 10380), List(334, 5478), List(4410, 4987), List(1433, 4632), List(6094, 11210), List(7024, 11117), List(7764, 8675), List(585, 6228), List(7703, 10651), List(3627, 4726), List(425, 1809), List(951, 7517), List(1316, 2542), List(8913, 10575), List(10038, 10950), List(4840, 10583), List(6270, 9342), List(6638, 8048), List(2226, 8590), List(756, 4016), List(7762, 8198), List(73, 4740), List(5237, 11158), List(6538, 7063), List(3081, 10043), List(3867, 10952), List(32, 7368), List(1245, 10596), List(1393, 4078), List(1272, 6003), List(7815, 8209), List(220, 4386), List(2269, 11296), List(4452, 10824), List(3069, 5495), List(6933, 10975), List(1824, 9899), List(8486, 10107), List(1734, 4721), List(3843, 5266), List(2793, 6728), List(7053, 8798), List(3623, 9372), List(1572, 10028), List(2379, 4644), List(2630, 8427), List(10059, 11022), List(1848, 1975), List(1720, 2729), List(1775, 2436), List(1291, 6753), List(9159, 10176), List(2177, 10552), List(1750, 4823), List(750, 9812), List(1813, 8555), List(3233, 6626), List(2181, 11425), List(126, 10362), List(147, 4823), List(2393, 8083), List(2758, 6518), List(1737, 6466), List(7872, 7911), List(4094, 4861), List(2856, 7026), List(6113, 9650), List(449, 8544), List(4057, 5733), List(5985, 8152), List(1943, 7473), List(6695, 10005), List(4026, 9803), List(5867, 9594), List(3652, 11282), List(3872, 7084), List(5797, 11484), List(2399, 5245), List(2409, 5933), List(4308, 9866), List(7009, 8071), List(2346, 4830), List(4703, 10395), List(8787, 9765), List(4078, 10343), List(2242, 10896), List(3890, 10292), List(6794, 9580), List(3826, 6335), List(5817, 9076), List(3007, 9423), List(4031, 6740), List(209, 4115), List(1663, 7432), List(1893, 10338), List(7935, 10838), List(6958, 11115), List(10328, 11142), List(6180, 10067), List(1758, 9921), List(6334, 7501), List(4522, 6196), List(231, 2561), List(4219, 6387), List(2469, 5960), List(6515, 9764), List(8564, 10258), List(4118, 5554), List(6081, 10438), List(6633, 10951), List(7254, 10103), List(3235, 4712), List(4704, 9061), List(1590, 1827), List(6543, 8025), List(939, 6970), List(3086, 11005), List(3308, 3470), List(4147, 7423), List(1148, 4865), List(5450, 9790), List(9017, 11142), List(4812, 9533), List(3009, 5308), List(684, 3418), List(3910, 4477), List(5501, 9755), List(7954, 10864), List(6493, 10540), List(3624, 7274), List(2722, 8634), List(7489, 9946), List(1384, 4179), List(7478, 11285), List(5613, 6936), List(2712, 4913), List(79, 4368), List(695, 6586), List(6582, 10181), List(4899, 10976), List(164, 3917), List(964, 4532), List(3229, 9754), List(6167, 8626), List(2676, 5606), List(279, 1396), List(1547, 7741), List(1798, 5108), List(4532, 5705), List(7095, 11116), List(490, 5780), List(298, 2577), List(4093, 8260), List(958, 4313), List(3781, 4201), List(4405, 7034), List(2349, 3117), List(5528, 10746), List(3840, 4781), List(940, 8618), List(3151, 7188), List(8968, 9290), List(3253, 10848), List(7816, 10475), List(3433, 9503), List(2924, 11346), List(1535, 6926), List(3985, 7764), List(5752, 11578), List(1970, 6854), List(5891, 8704), List(967, 7408), List(1828, 9430), List(3352, 7070), List(5812, 9350), List(6008, 7010), List(4439, 4709), List(4886, 6152), List(5161, 8077), List(7890, 8330), List(51, 7557), List(5990, 11342), List(5064, 8144), List(1640, 6346), List(3481, 6891), List(6934, 7175), List(7610, 9444), List(5896, 10926), List(5837, 7313), List(2126, 2829), List(1854, 4585), List(945, 2522), List(3188, 6265), List(657, 5273), List(5147, 10249), List(4992, 6928), List(8937, 9172), List(4778, 7908), List(1934, 2255), List(5646, 11101), List(5939, 7216), List(1281, 5073), List(1897, 7291), List(7504, 7863), List(4445, 5254), List(2363, 2368), List(163, 11504), List(2869, 3637), List(5125, 8396), List(1983, 5530), List(9713, 9743), List(4947, 9787), List(3111, 9586), List(2925, 11116), List(7118, 11210), List(4857, 6861), List(7780, 10363), List(7023, 7940), List(4959, 9797), List(3219, 3642), List(4471, 10208), List(8227, 9547), List(2444, 11193), List(1355, 6311), List(9190, 9594), List(2292, 7389), List(4842, 5425), List(6821, 7432), List(7949, 11488), List(5480, 5712), List(4862, 6831), List(158, 3589), List(1386, 4843), List(1319, 3621), List(6109, 8135), List(7788, 9850), List(5546, 8961), List(3775, 8411), List(3095, 8652), List(7878, 9743), List(1061, 8466), List(2339, 9083), List(4703, 9403), List(6871, 7145), List(25, 966), List(3796, 6255), List(7438, 8690), List(776, 9236), List(8742, 9030), List(6629, 10995), List(9588, 9990), List(4827, 10378), List(7442, 9563), List(4600, 4737), List(899, 5105), List(4319, 8659), List(1759, 9935), List(6285, 10404), List(1486, 7302), List(5751, 9716), List(2136, 9104), List(3667, 3751), List(3851, 10476), List(305, 3585), List(6048, 6704), List(110, 6527), List(1543, 4803), List(1500, 8139), List(4115, 7324), List(10100, 11454), List(3906, 7150), List(1932, 7769), List(6918, 9943), List(4299, 6852), List(7038, 7793), List(6203, 11129), List(1521, 9366), List(10146, 11048), List(4602, 10044), List(932, 8971), List(2618, 7693), List(2210, 10342), List(1489, 10582), List(4911, 10799), List(1148, 3873), List(3381, 6174), List(559, 3478), List(6464, 7679), List(5662, 6237), List(8170, 11217), List(1950, 7944), List(4624, 8490), List(5961, 7058), List(556, 9596), List(6936, 10118), List(4758, 5272), List(2820, 5548), List(361, 6122), List(9576, 11053), List(6431, 8670), List(868, 7616), List(2513, 4085), List(4844, 9927), List(44, 4725), List(5465, 6073), List(3653, 4768), List(7424, 10057), List(8071, 8178), List(7823, 8076), List(9218, 10032), List(2721, 8171), List(4618, 11277), List(1199, 3407), List(1159, 10424), List(7969, 10530), List(1651, 4470), List(6795, 10236), List(1279, 9028), List(1212, 7806), List(1802, 4639), List(6719, 11180), List(4179, 10826), List(4384, 7848), List(3864, 9502), List(7508, 9354), List(1531, 2833), List(3327, 5887), List(6035, 7515), List(8156, 9575), List(6747, 10195), List(10322, 11408), List(1047, 5645), List(455, 1569), List(2700, 6139), List(637, 7467), List(2722, 3454), List(7016, 10770), List(6868, 8620), List(9237, 10782), List(3812, 4774), List(8982, 9509), List(1793, 10538), List(7877, 10540), List(1915, 5051), List(9879, 11188), List(5581, 6382), List(4980, 5226), List(2399, 4871), List(1375, 4548), List(3147, 9460), List(1676, 8448), List(5822, 8696), List(9378, 9859), List(8308, 9945), List(6658, 6716), List(5476, 5807), List(9581, 10218), List(9646, 11367), List(3448, 9573), List(6280, 6541), List(7066, 7450), List(6992, 9221), List(5154, 6695), List(1795, 6046), List(3964, 5144), List(6902, 9678), List(2673, 3511), List(80, 5805), List(787, 3223), List(7863, 8898), List(10073, 10249), List(5956, 8487), List(135, 8895), List(1009, 5487), List(639, 6708), List(11119, 11297), List(3117, 3178), List(7801, 11403), List(1729, 8028), List(4774, 10961), List(7159, 7240), List(8290, 10813), List(97, 3126), List(6788, 8236), List(3080, 6679), List(7757, 11481), List(245, 2243), List(1709, 7002), List(8333, 10136), List(4454, 11141), List(4442, 9626), List(6097, 6783), List(21, 6672), List(4754, 8400), List(2724, 5704), List(6643, 7481), List(6302, 7188), List(445, 5687), List(6114, 7137), List(8545, 8679), List(4159, 10442), List(7387, 8164), List(3469, 9995), List(5243, 8564), List(5234, 10730), List(1354, 2465), List(1004, 10754), List(1011, 1345), List(2439, 5693), List(6201, 6732), List(36, 7330), List(779, 11575), List(1878, 10729), List(1754, 2557), List(7282, 10218), List(3488, 8143), List(8751, 8905), List(5224, 6228), List(1256, 7942), List(6996, 8134), List(1638, 4102), List(844, 2521), List(242, 4173), List(2614, 10770), List(723, 4446), List(4797, 7292), List(334, 7145), List(423, 10600), List(7282, 10568), List(1116, 1896), List(2476, 7049), List(4031, 4756), List(7578, 10337), List(5393, 10736), List(4188, 8123), List(327, 10488), List(692, 4759), List(4902, 7466), List(1318, 7665), List(100, 683), List(6115, 7688), List(2632, 8693), List(1254, 3708), List(8012, 10794), List(7692, 11378), List(1902, 4683), List(4928, 5654), List(6209, 9952), List(1560, 4919), List(2895, 6070), List(4237, 4982), List(71, 2547), List(4450, 6029), List(7870, 10337), List(4955, 10860), List(2457, 5844), List(590, 11248), List(6158, 6230), List(4552, 9689), List(1204, 6223), List(11236, 11376), List(1804, 4498), List(2227, 6321), List(6714, 7616), List(6712, 10953), List(7873, 10985), List(5008, 10871), List(1239, 5628), List(272, 2429), List(1395, 6141), List(1130, 10596), List(6281, 11117), List(4185, 10053), List(8414, 9804), List(6239, 10891), List(3930, 8780), List(1008, 6634), List(1120, 6875), List(8449, 9990), List(5233, 11147), List(5171, 8017), List(1215, 9364), List(6951, 10538), List(1559, 6922), List(683, 9503), List(2087, 9293), List(4926, 8186), List(750, 5063), List(6696, 9265), List(9433, 10133), List(6938, 8798), List(2763, 9283), List(7251, 10426), List(10668, 11053), List(1272, 3832), List(5773, 8243), List(6999, 9424), List(7307, 7325), List(77, 1183), List(1078, 6218), List(734, 6408), List(5154, 9891), List(8956, 10329), List(5365, 10111), List(4317, 5984), List(136, 8179), List(800, 8159), List(1753, 9016), List(4153, 10491), List(6641, 8403), List(7365, 7680), List(2907, 7877), List(6011, 8007), List(8419, 9343), List(3710, 9921), List(3720, 4947), List(798, 10715), List(2782, 10814), List(8977, 11556), List(8853, 9800), List(3371, 7422), List(2645, 7318), List(501, 2800), List(2703, 10706), List(4136, 8982), List(872, 5187), List(8217, 8835), List(2515, 11409), List(2214, 8263), List(3327, 7123), List(5505, 9717), List(2050, 2190), List(33, 11033), List(592, 6301), List(5822, 11087), List(1669, 3252), List(8127, 9292), List(5870, 7371), List(5276, 7386), List(5439, 8316), List(552, 10285), List(795, 3627), List(7642, 8496), List(827, 1630), List(4999, 8017), List(9701, 10432), List(9510, 10864), List(8794, 11448), List(105, 1645), List(6087, 6258), List(36, 3760), List(569, 10639), List(194, 11516), List(2102, 6113), List(9283, 10858), List(2628, 6159), List(2086, 7862), List(7664, 7696), List(3216, 8581), List(95, 4340), List(2376, 4403), List(753, 10167), List(8592, 10940), List(249, 1774), List(5147, 8265), List(7292, 11473), List(5570, 6678), List(6910, 8173), List(2653, 10538), List(3851, 5564), List(6171, 11217), List(1720, 6169), List(7038, 10802), List(6410, 7069), List(2337, 5579), List(1055, 6718), List(1746, 10773), List(376, 10567), List(5820, 7203), List(3103, 9993), List(54, 8072), List(2454, 3131), List(730, 3925), List(3224, 11451), List(704, 6087), List(1634, 10158), List(101, 8268), List(1852, 11549), List(1840, 10034), List(4204, 5436), List(6721, 8250), List(5482, 6053), List(7379, 9159), List(1004, 6729), List(4555, 9800), List(5852, 8969), List(4389, 7818), List(1894, 7237), List(3270, 11395), List(6071, 6798), List(2513, 2556), List(3693, 6802), List(3225, 5236), List(2705, 2726), List(8059, 9268), List(52, 805), List(8238, 11485), List(1949, 10327), List(3048, 9481), List(8676, 8678), List(3232, 5626), List(1539, 5733), List(2514, 8793), List(1409, 9824), List(2126, 2268), List(2721, 10025), List(1719, 7771), List(7983, 10562), List(3845, 10175), List(5012, 10052), List(8382, 8581), List(4120, 5684), List(808, 4881), List(1778, 8351), List(6260, 8548), List(9384, 10054), List(284, 5635), List(11113, 11132), List(869, 2124), List(4707, 8635), List(8217, 9453), List(130, 11584), List(8709, 9915), List(4445, 11109), List(5349, 9041), List(8580, 10444), List(2642, 3851), List(5618, 11151), List(2103, 3573), List(4071, 5391), List(9733, 9834), List(3164, 6407), List(1366, 3280), List(7866, 8822), List(3279, 10329), List(1269, 9763), List(5773, 11439), List(8667, 10039), List(1161, 11169), List(4746, 5156), List(2781, 2855), List(230, 11010), List(2405, 3507), List(5426, 8298), List(4201, 6561), List(118, 3629), List(6139, 9668), List(3954, 9313), List(8064, 8406), List(2455, 6253), List(3580, 4376), List(2580, 5201), List(811, 11140), List(6380, 9730), List(4317, 11058), List(8114, 11152), List(5218, 9473), List(741, 9620), List(5500, 8405), List(7176, 10603), List(3320, 9148), List(2110, 10355), List(9897, 10938), List(4226, 7907), List(2106, 6449), List(6767, 8863), List(1849, 5103), List(6086, 8879), List(6218, 11250), List(6961, 9079), List(3934, 10889), List(6353, 10162), List(6733, 10383), List(3335, 3390), List(597, 5303), List(4149, 9730), List(5613, 9571), List(11050, 11452), List(586, 4390), List(2987, 9473), List(4513, 10192), List(4262, 6409), List(5263, 9192), List(3174, 11551), List(1777, 6516), List(932, 1994), List(493, 1166), List(6351, 9685), List(2733, 5392), List(4033, 10494), List(2923, 4735), List(891, 5376), List(5932, 7257), List(8332, 9486), List(6408, 7186), List(9290, 10687), List(388, 591), List(549, 5612), List(3441, 9801), List(3575, 5829), List(6493, 8987), List(4303, 9042), List(7888, 10943), List(4053, 8113), List(7785, 7812), List(1663, 5074), List(7444, 7519), List(9078, 10215), List(2311, 6049), List(8575, 8840), List(5705, 11388), List(8353, 10713), List(411, 8307), List(5213, 8674), List(1617, 8112), List(6551, 10096), List(5985, 11405), List(220, 8712), List(6259, 9695), List(7907, 9091), List(2298, 7692), List(6188, 10983), List(10269, 10836), List(5314, 7975), List(6936, 8402), List(7159, 8639), List(3444, 5911), List(4293, 10552), List(4537, 10912), List(6244, 8259), List(237, 6033), List(3227, 4341), List(9732, 10981), List(5216, 10419), List(4068, 8340), List(546, 3755), List(293, 4063), List(224, 8430), List(2774, 6466), List(7259, 11098), List(3499, 9351), List(2004, 3781), List(1284, 11039), List(725, 2939), List(3705, 6975), List(2218, 7682), List(1967, 3899), List(1375, 3987), List(3613, 7386), List(905, 1594), List(6691, 8547), List(2673, 9016), List(2334, 2380), List(1093, 10690), List(1714, 7590), List(124, 4412), List(898, 10222), List(4017, 11384), List(8206, 8326), List(10231, 10678), List(3887, 9059), List(5026, 6888), List(6249, 7798), List(9764, 11212), List(2293, 9145), List(1959, 10023), List(951, 10233), List(3320, 6733), List(5837, 8793), List(6546, 7792), List(6709, 9476), List(3029, 3551), List(5432, 10959), List(1485, 7888), List(2849, 8279), List(1202, 10983), List(168, 10726), List(455, 10002), List(2315, 7591), List(4591, 7310), List(4421, 5209), List(8593, 10842), List(2409, 7226), List(3186, 10301), List(1003, 4357), List(402, 9617), List(10644, 11382), List(5322, 7007), List(2925, 9213), List(4633, 9414), List(1374, 5963), List(428, 1389), List(3509, 5477), List(2830, 9326), List(3544, 7915), List(4105, 6262), List(3227, 5764), List(4813, 11452), List(5739, 8234), List(5993, 11534), List(1860, 2823), List(6670, 8743), List(6148, 10324), List(2473, 4743), List(3942, 4928), List(9031, 10263), List(1567, 9367), List(3210, 4255), List(4113, 5749), List(601, 9022), List(3053, 6523), List(7329, 10227), List(6985, 10417), List(5149, 10970), List(1180, 4942), List(121, 2154), List(6576, 8677), List(2058, 2407), List(721, 3839), List(4599, 9779), List(1151, 3423), List(3484, 3676), List(5698, 8933), List(2892, 6016), List(6596, 10083), List(4483, 5632), List(990, 8201), List(5415, 5612), List(4971, 8604), List(954, 9675), List(2542, 4856), List(9233, 9966), List(7863, 9760), List(3353, 7515), List(6080, 6941), List(6613, 7404), List(5780, 6649), List(6669, 10719), List(2156, 8203), List(106, 8238), List(2840, 4671), List(7258, 7327), List(7418, 9494), List(6568, 6880), List(2739, 7248), List(1526, 4774), List(2279, 9707), List(596, 4840), List(3679, 5591), List(3335, 5781), List(4326, 9374), List(2638, 10579), List(6725, 11378), List(4129, 5827), List(796, 4147), List(592, 10733), List(709, 11318), List(269, 5384), List(6373, 6762), List(10915, 11174), List(10631, 11415), List(6622, 7466), List(4466, 6351), List(1828, 5462), List(507, 1011), List(1852, 10020), List(3106, 6079), List(670, 2695), List(3443, 9636), List(9035, 9176), List(5437, 5505), List(7235, 9386), List(4587, 7809), List(5079, 7517), List(2012, 4236), List(2163, 10821), List(4496, 11074), List(9538, 10147), List(5178, 10879), List(4269, 8816), List(9649, 10917), List(3326, 3759), List(3761, 10103), List(4296, 7229), List(1686, 1972), List(3417, 3877), List(4628, 9688), List(2018, 4431), List(11021, 11169), List(8680, 11055), List(4980, 7861), List(4978, 7034), List(3323, 3461), List(10580, 11426), List(5074, 6742), List(2361, 4770), List(308, 370), List(3976, 4780), List(648, 7608), List(1668, 9687), List(3326, 10525), List(8800, 9255), List(4839, 10258), List(302, 3184), List(1479, 3749), List(2282, 8045), List(726, 10867), List(5584, 8133), List(7944, 10209), List(855, 10688), List(3525, 9580), List(404, 6093), List(567, 7023), List(2681, 8666), List(5542, 11290), List(4021, 10915), List(2741, 6465), List(9308, 9819), List(7899, 9685), List(1736, 6946), List(4972, 8693), List(6477, 9289), List(529, 7670), List(5078, 9843), List(2637, 5361), List(3975, 10166), List(3037, 9617), List(2383, 4663), List(7608, 9105), List(1269, 8584), List(5123, 9212), List(2253, 2338), List(1915, 5726), List(301, 5160), List(5046, 9931), List(1539, 7132), List(10119, 10569), List(663, 3297), List(4831, 5778), List(3699, 4232), List(5474, 5655), List(341, 4185), List(7966, 10102), List(7274, 8828), List(4760, 10449), List(2827, 11069), List(3223, 4653), List(7333, 9408), List(3040, 4946), List(8637, 9748), List(4292, 5096), List(6398, 8376), List(2702, 9088), List(2141, 10741), List(4650, 8776), List(2281, 9997), List(1099, 2672), List(4897, 5620), List(4111, 5465), List(4439, 4742), List(10528, 11504), List(2936, 11362), List(284, 5879), List(688, 3488), List(7103, 7202), List(1890, 5803), List(1750, 9930), List(5475, 8458), List(339, 6717), List(2011, 7261), List(2551, 4731), List(4693, 7668), List(6152, 11329), List(1450, 2498), List(140, 8759), List(119, 7882), List(7273, 8552), List(9363, 11299), List(3260, 6359), List(794, 6516), List(6575, 6709), List(6826, 10492), List(5150, 6042), List(8756, 9574), List(1321, 7164), List(9160, 10566), List(2813, 6020), List(4113, 10368), List(1059, 8103), List(6850, 8984), List(690, 3510), List(1560, 9782), List(9216, 10848), List(687, 3212), List(2705, 4393), List(179, 10915), List(5812, 10456), List(2639, 6025), List(857, 10978), List(7235, 11427), List(1793, 2032), List(79, 3514), List(8069, 8620), List(4125, 11482), List(4495, 10261), List(5716, 10344), List(3304, 5102), List(883, 2750), List(6739, 10442), List(951, 6826), List(2940, 3105), List(9872, 11310), List(3961, 6540), List(807, 7077), List(5944, 9420), List(2714, 10871), List(2523, 4887), List(4398, 6514), List(1181, 2565), List(1841, 10717), List(2237, 4301), List(1311, 7519), List(370, 9705), List(1057, 9854), List(4037, 7474), List(6679, 9236), List(1547, 10620), List(5618, 9785), List(5628, 10473), List(6806, 7476), List(6641, 9883), List(4996, 6998), List(789, 10978), List(1408, 4045), List(2244, 4317), List(7572, 10392), List(1593, 3798), List(3874, 10277), List(223, 9254), List(2057, 7874), List(3213, 7562), List(3268, 8023), List(6239, 8533), List(2932, 8074), List(5265, 8327), List(4324, 10513), List(4833, 5664), List(3644, 10000), List(2128, 9969), List(6567, 7840), List(5753, 11299), List(1898, 10446), List(4487, 8410), List(8735, 8965), List(1054, 9532), List(4011, 5448), List(2925, 11417), List(6492, 8605), List(1571, 10990), List(3344, 5924), List(7089, 9992), List(1542, 9471), List(3872, 6043), List(6963, 11573), List(1139, 1884), List(4836, 11196), List(9003, 10069), List(2819, 6453), List(4806, 6069), List(8629, 11548), List(2872, 3835), List(879, 3650), List(1068, 6555), List(466, 8207), List(6720, 10310), List(9397, 10373), List(5584, 6336), List(3423, 10539), List(131, 8860), List(5202, 6419), List(5666, 11249), List(3882, 5576), List(1495, 8470), List(1676, 5098), List(6958, 10074), List(86, 1920), List(2887, 4493), List(3353, 5986), List(4075, 8600), List(5759, 10659), List(5470, 10556), List(152, 3671), List(3916, 7789), List(7268, 8021), List(2696, 4144), List(2694, 3317), List(7026, 11117), List(10717, 10815), List(9513, 11056), List(8331, 10147), List(5337, 7933), List(3964, 8210), List(3783, 5166), List(667, 2023), List(507, 4020), List(3991, 5869), List(5326, 7774), List(6487, 7806), List(4897, 11044), List(661, 7870), List(2376, 11494), List(2025, 10513), List(1746, 11098), List(817, 1967), List(3611, 9785), List(8619, 9274), List(8722, 10153), List(1967, 9754), List(59, 2325), List(4259, 6973), List(768, 3953), List(372, 3953), List(5188, 7436), List(4143, 9242), List(1459, 5756), List(2334, 5202), List(2537, 5561), List(2131, 4873), List(3011, 4663), List(10201, 11406), List(9394, 9620), List(8391, 10928), List(8764, 9224), List(1254, 7229), List(323, 3687), List(584, 8912), List(2497, 5381), List(4188, 8611), List(7, 5144), List(4864, 5218), List(7893, 9116), List(4863, 4993), List(1103, 10416), List(6382, 8705), List(1246, 3554), List(6939, 10316), List(3899, 8858), List(5565, 6204), List(5043, 7031), List(2708, 10115), List(1588, 3668), List(2448, 2836), List(4130, 10484), List(5470, 5563), List(2269, 10418), List(8399, 10765), List(2733, 8832), List(548, 2061), List(6585, 8633), List(5243, 10475), List(1136, 5237), List(5093, 6744), List(2326, 3755), List(757, 6372), List(1641, 3652), List(3492, 9823), List(3662, 8514), List(2943, 3165), List(1138, 8693), List(6984, 10035), List(2588, 4694), List(3312, 3971), List(196, 7244), List(1933, 5931), List(1556, 3729), List(1489, 2507), List(6703, 6760), List(10860, 11361), List(10402, 10483), List(5760, 5867), List(120, 5155), List(490, 3934), List(2091, 10654), List(7430, 9748), List(1978, 5300), List(424, 8949), List(7898, 9035), List(1262, 3632), List(4195, 7822), List(5165, 11292), List(7806, 9446), List(1672, 5193), List(6085, 9757), List(4785, 8038), List(5714, 8501), List(6242, 10872), List(2870, 10018), List(1973, 5306), List(3905, 7467), List(2372, 4823), List(1040, 7353), List(3306, 6384), List(4711, 9028), List(4140, 9993), List(2842, 4937), List(903, 8021), List(3712, 10455), List(6663, 9589), List(6764, 10395), List(2154, 10198), List(879, 6846), List(2059, 6928), List(2671, 5994), List(3646, 9054), List(7743, 9440), List(2392, 6579), List(2617, 9141), List(2087, 5943), List(1113, 5737), List(1739, 8643), List(3845, 5507), List(3237, 8068), List(4823, 6586), List(859, 8072), List(1762, 9566), List(2194, 9223), List(4821, 9923), List(554, 1020), List(4525, 8649), List(6868, 10344), List(4094, 9594), List(1162, 2596), List(8047, 10201), List(199, 5932), List(3466, 9244), List(1004, 11055), List(1101, 7955), List(5614, 7465), List(507, 7216), List(314, 7575), List(3053, 4352), List(5074, 9214), List(8131, 9498), List(8344, 10545), List(2052, 9116), List(6868, 9189), List(4380, 4861), List(1369, 5676), List(5133, 9794), List(152, 5712), List(2731, 5240), List(7364, 9770), List(5848, 9739), List(5779, 7690), List(1799, 8643), List(6408, 7861), List(4317, 7895), List(3821, 9943), List(5113, 8768), List(295, 2206), List(324, 7108), List(909, 10013), List(6208, 10432), List(167, 8622), List(1039, 2889), List(4650, 10175), List(3585, 10605), List(5887, 10791), List(97, 4850), List(3493, 11016), List(7003, 7670), List(3616, 9137), List(6942, 7394), List(2900, 6715), List(7155, 8441), List(6287, 8631), List(3704, 8203), List(490, 7935), List(1859, 2254), List(984, 7689), List(5846, 8107), List(1297, 6688), List(5751, 11253), List(2764, 3794), List(3158, 7131), List(2106, 5514), List(5390, 6551), List(4242, 10888), List(5395, 6895), List(479, 3208), List(3875, 9374), List(2034, 9583), List(2908, 10339), List(1232, 8141), List(5349, 6146), List(215, 1822), List(10113, 10193), List(3053, 9158), List(4817, 7039), List(1401, 9266), List(1580, 5067), List(2147, 6612), List(717, 6355), List(1322, 3496), List(5103, 9473), List(8212, 9947), List(922, 6006), List(3265, 6947), List(2826, 10283), List(5339, 9191), List(10029, 10091), List(506, 1597), List(517, 5139), List(1035, 6822), List(2819, 6079), List(7516, 8150), List(8132, 10368), List(10434, 11308), List(1535, 11309), List(6817, 9869), List(561, 4687), List(6517, 9577), List(1271, 6540), List(2551, 3820), List(1783, 8378), List(1907, 3718), List(307, 7022), List(28, 7607), List(10516, 10559), List(1839, 2271), List(810, 4610), List(1625, 10421), List(6035, 9052), List(274, 8013), List(3672, 7836), List(3973, 10982), List(895, 4159), List(215, 10816), List(7534, 9079), List(244, 2886), List(1823, 7403), List(3951, 6470), List(10100, 11031), List(3415, 9873), List(1734, 11495), List(8055, 11410), List(1047, 10565), List(419, 10996), List(5739, 5876), List(1599, 11078), List(2509, 7327), List(2693, 9888), List(2996, 7445), List(6588, 10517), List(6337, 6734), List(5184, 11481), List(4095, 6599), List(387, 11458), List(3940, 8940), List(6956, 9223), List(9750, 9871), List(3246, 11003), List(5615, 7503), List(5393, 8622), List(2406, 3415), List(3679, 10104), List(3459, 5634), List(7692, 9264), List(7728, 8921), List(5075, 7000), List(5352, 5588), List(4209, 10269), List(718, 7249), List(1962, 2620), List(4076, 4263), List(906, 3513), List(2515, 4489), List(3261, 8251), List(298, 5350), List(3262, 4689), List(170, 6104), List(1732, 6480), List(3447, 7852), List(8298, 9609), List(765, 4412), List(2064, 5906), List(9159, 9379), List(819, 6900), List(879, 4699), List(2183, 7291), List(7888, 8398), List(6231, 11168), List(6971, 8726), List(5135, 9279), List(8650, 10441), List(4603, 9418), List(5038, 9346), List(631, 10232), List(2086, 10741), List(1248, 9642), List(685, 10468), List(876, 7784), List(5606, 5831), List(19, 1747), List(8618, 8624), List(6412, 7392), List(2675, 7349), List(6627, 11518), List(622, 3703), List(1214, 1363), List(1675, 1758), List(706, 8312), List(10895, 11197), List(5878, 7458), List(1921, 5197), List(10171, 11166), List(7765, 9122), List(3818, 6051), List(4628, 11518), List(428, 3837), List(3091, 5722), List(1322, 7497), List(5282, 9275), List(4394, 8089), List(4679, 10702), List(1038, 11121), List(2377, 4100), List(695, 7749), List(3224, 7914), List(2967, 10732), List(2786, 7688), List(6043, 10312), List(317, 8328), List(470, 8570), List(6170, 10087), List(2457, 8186), List(592, 3837), List(2427, 10229), List(2798, 7698), List(1996, 7010), List(7961, 9010), List(5290, 5729), List(997, 8437), List(1957, 10465), List(4913, 9943), List(8522, 10740), List(2354, 7657), List(926, 6692), List(3849, 10194), List(4361, 4892), List(7757, 11058), List(4400, 11236), List(6239, 10200), List(71, 701), List(5604, 9460), List(1836, 7852), List(5482, 11160), List(255, 6645), List(183, 4325), List(3359, 6021), List(2920, 9357), List(1249, 7503), List(2266, 10819), List(6481, 6700), List(70, 11029), List(6381, 9502), List(378, 8930), List(2334, 8479), List(6716, 9226), List(3674, 4312), List(1771, 3643), List(6771, 9687), List(3610, 6771), List(1277, 6518), List(7338, 8980), List(4103, 10087), List(3048, 11205), List(3290, 10738), List(6117, 8116), List(3068, 5441), List(4969, 6037), List(7827, 9144), List(9172, 10983), List(4569, 8547), List(6649, 8354), List(1606, 5646), List(8576, 10171), List(109, 5665), List(2968, 5210), List(1728, 10712), List(4555, 7336), List(223, 3700), List(8130, 8549), List(1810, 5826), List(1500, 11262), List(4800, 11304), List(963, 7647), List(6, 8546), List(531, 820), List(5598, 8086), List(6816, 9406), List(5383, 6966), List(1425, 2982), List(2580, 11113), List(2604, 2839), List(1616, 5179), List(2397, 5744), List(5630, 7974), List(5819, 10879), List(6024, 7147), List(5098, 10365), List(335, 7674), List(1388, 6483), List(4913, 8333), List(3385, 6787), List(3502, 8126), List(8476, 8785), List(4830, 11489), List(1812, 11133), List(6136, 8492), List(3832, 6725), List(5179, 10145), List(3054, 9841), List(5106, 10606), List(10345, 10974), List(10840, 10953), List(961, 6015), List(1678, 1869), List(828, 10589), List(800, 8541), List(3, 7443), List(1426, 5031), List(3583, 9754), List(1109, 9296), List(3043, 5868), List(1510, 3224), List(6031, 7513), List(988, 4805), List(6774, 7594), List(8114, 9843), List(4473, 9508), List(4277, 10350), List(1737, 5832), List(2256, 8117), List(8355, 9151), List(757, 5811), List(5989, 7260), List(10, 10492), List(354, 3886), List(1401, 2126), List(131, 5534), List(5896, 7446), List(7262, 10916), List(498, 10431), List(3110, 5935), List(5164, 6773), List(2860, 5006), List(465, 1623), List(1557, 6022), List(502, 11304), List(4070, 11346), List(5391, 9381), List(3516, 6973), List(5658, 10664), List(2855, 11428), List(7862, 8063), List(6242, 6928), List(5084, 10577), List(3062, 6244), List(1790, 8825), List(453, 3841), List(3957, 7096), List(4961, 9396), List(5828, 8981), List(7724, 8479), List(74, 10611), List(8723, 10435), List(8908, 9434), List(3529, 10941), List(1127, 6387), List(1490, 10411), List(4549, 11522), List(3851, 6296), List(1428, 9533), List(6320, 9039), List(5040, 7595), List(998, 6916), List(2170, 7137), List(6091, 9741), List(7622, 8552), List(5748, 6369), List(4448, 6902), List(4498, 6265), List(890, 2660), List(6609, 7637), List(1113, 8559), List(5466, 6656), List(638, 5068), List(4127, 11425), List(7761, 10589), List(15, 5843), List(10438, 10652), List(2098, 5921), List(8159, 10635), List(6180, 8628), List(7042, 7869), List(2899, 7138), List(2620, 7723), List(1720, 5746), List(5, 2122), List(4858, 11122), List(3029, 6430), List(1224, 2132), List(1438, 10197), List(9498, 9626), List(1903, 11465), List(6717, 8459), List(2486, 5629), List(2200, 11459), List(1297, 3549), List(2179, 10582), List(1307, 4237), List(5508, 8356), List(5663, 6015), List(204, 1177), List(5408, 11158), List(1260, 3667), List(6645, 9522), List(107, 1244), List(7856, 9671), List(77, 2533), List(1885, 7102), List(8483, 9769), List(3197, 7303), List(3102, 10449), List(7111, 7982), List(4561, 7694), List(4117, 5768), List(2599, 9074), List(7673, 7685), List(3743, 7247), List(6886, 8803), List(7818, 9537), List(7916, 10072), List(4676, 10835), List(9184, 10001), List(2375, 7087), List(8412, 11407), List(7412, 11478), List(5794, 11170), List(2119, 6343), List(1644, 2852), List(364, 5572), List(2237, 9782), List(269, 2302), List(1392, 6014), List(1524, 7631), List(9640, 11156), List(5385, 10184), List(1517, 10624), List(844, 7872), List(3042, 5456), List(5187, 8664), List(3820, 5723), List(5267, 7869), List(1416, 6758), List(5616, 8023), List(6087, 7608), List(2152, 7580), List(1880, 2920), List(2473, 9850), List(357, 1718), List(8846, 9955), List(5577, 5816), List(3305, 6216), List(4086, 6781), List(786, 1077), List(6226, 9645), List(4612, 6073), List(6513, 6669), List(9157, 10756), List(9274, 11341), List(6949, 9451), List(9750, 11270), List(3086, 4573), List(987, 10408), List(4536, 10400), List(1857, 9510), List(3233, 11416), List(3389, 5513), List(707, 7735), List(3169, 6678), List(7072, 7198), List(8568, 9206), List(851, 3700), List(3841, 9178), List(4458, 7834), List(2957, 10363), List(3459, 9261), List(9118, 10777), List(532, 9023), List(7290, 8939), List(1648, 11564), List(1555, 8367), List(5121, 6084), List(5969, 7871), List(4205, 9990), List(327, 10496), List(5227, 7234), List(4046, 9179), List(4970, 5134), List(4070, 7321), List(3535, 3779), List(8543, 10438), List(1545, 10281), List(6115, 11079), List(1478, 9059), List(1949, 8644), List(1235, 2885), List(5746, 8738), List(2847, 3378), List(2948, 10600), List(1997, 4928), List(6339, 9252), List(3223, 6109), List(508, 2556), List(9630, 11460), List(719, 7694), List(1687, 9583), List(154, 1277), List(5673, 10330), List(5112, 7819), List(4367, 7665), List(1024, 10959), List(6041, 8282), List(567, 6519), List(433, 4075), List(687, 11539), List(3292, 3620), List(9958, 10363), List(6724, 8662), List(3264, 11371), List(1296, 3137), List(6963, 8678), List(6844, 7266), List(2818, 7120), List(4786, 8938), List(4776, 7496), List(5772, 9935), List(3597, 4606), List(2260, 6038), List(3936, 4072), List(4338, 7270), List(3813, 5170), List(487, 4661), List(2283, 6961), List(4304, 5407), List(7638, 10695), List(4114, 5283), List(5798, 11506), List(7257, 11003), List(1158, 3553), List(8418, 11035), List(5015, 10114), List(4483, 11007), List(3650, 10252), List(4025, 9375), List(1900, 3409), List(2705, 8532), List(2340, 7845), List(1316, 10528), List(9456, 11441), List(2964, 3508), List(8065, 10358), List(641, 3973), List(6320, 10275), List(1797, 3661), List(2696, 7665), List(5505, 7847), List(11012, 11221), List(3194, 4909), List(7118, 11194), List(1605, 10257), List(8647, 9932), List(10225, 10841), List(7362, 7390), List(8824, 10568), List(923, 9671), List(5658, 8062), List(4490, 11023), List(3565, 10679), List(1910, 7106), List(2042, 9477), List(3876, 8097), List(734, 10149), List(3556, 6429), List(2152, 7393), List(5023, 10705), List(3707, 6598), List(875, 2460), List(4140, 9863), List(4489, 10017), List(9460, 11159), List(1122, 3091), List(91, 1597), List(3148, 8297), List(8900, 10004), List(414, 1284), List(1004, 8697), List(2926, 3000), List(2024, 10776), List(9785, 10138), List(439, 8696), List(537, 9985), List(1282, 3723), List(6598, 8283), List(1148, 11078), List(3877, 11331), List(641, 3168), List(5873, 8781), List(4749, 11260), List(242, 2116), List(4070, 7939), List(145, 8599), List(2691, 3483), List(3403, 8415), List(2001, 3036), List(574, 1542), List(197, 5756), List(764, 8055), List(2686, 6522), List(1412, 1860), List(2240, 2271), List(906, 3220), List(1009, 4853), List(4607, 7770), List(656, 9461), List(2218, 3421), List(10585, 10729), List(5167, 5892), List(2457, 3437), List(4681, 9382), List(2522, 4586), List(2804, 7682), List(4361, 7714), List(4956, 11307), List(1537, 10607), List(2678, 9263), List(1654, 4776), List(3481, 7143), List(1053, 10036), List(4971, 5953), List(1079, 9005), List(2703, 3843), List(5039, 10029), List(1030, 6080), List(1589, 7764), List(529, 7784), List(10880, 11027), List(5532, 7683), List(4386, 6431), List(1321, 5505), List(2635, 8031), List(9173, 10647), List(2609, 6810), List(3753, 4983), List(2419, 10850), List(4251, 9397), List(201, 4693), List(3843, 11292), List(1265, 4792), List(8285, 8680), List(4682, 9583), List(5451, 7879), List(1903, 4325), List(8971, 10139), List(667, 7317), List(5760, 9388), List(1567, 2878), List(2181, 4269), List(5611, 9265), List(3553, 10937), List(6812, 7972), List(2020, 2631), List(4141, 11107), List(4387, 8130), List(2116, 2339), List(7475, 9979), List(5847, 11235), List(4205, 5615), List(4100, 8073), List(3945, 11168), List(2106, 5034), List(990, 8128), List(7065, 8768), List(6187, 8270), List(8019, 10981), List(3373, 11127), List(489, 6799), List(5057, 6770), List(2758, 9511), List(8573, 11540), List(4154, 8659), List(986, 10988), List(7008, 10112), List(716, 2267), List(6577, 11057), List(3611, 10891), List(7162, 7546), List(4954, 10405), List(9743, 10530), List(9003, 10720), List(5846, 6822), List(4170, 9542), List(2639, 3561), List(1274, 3699), List(2227, 2304), List(6192, 10842), List(3549, 9609), List(5256, 6956), List(393, 9319), List(9455, 11002), List(4290, 4359), List(3848, 4014), List(3813, 7211), List(5031, 7777), List(3472, 11082), List(74, 4089), List(3219, 6472), List(4590, 10286), List(3188, 4907), List(3277, 10614), List(51, 133), List(6867, 10607), List(4768, 5862), List(8534, 10807), List(1166, 3203), List(9216, 10612), List(6728, 7038), List(2626, 6308), List(2939, 4553), List(6147, 10668), List(7217, 10612), List(36, 5086), List(2895, 11047), List(4759, 5345), List(4760, 8953), List(826, 5363), List(5807, 7193), List(22, 7258), List(2381, 8732), List(5242, 11356), List(39, 10645), List(448, 2936), List(7976, 11172), List(4984, 9785), List(1353, 10892), List(686, 5733), List(629, 5199), List(6350, 6839), List(7193, 8282), List(4706, 7562), List(1347, 11077), List(3138, 6617), List(8308, 11352), List(935, 5656), List(2211, 3194), List(3752, 4975), List(8890, 10172), List(6154, 6496), List(338, 8002), List(4567, 7753), List(6239, 8297), List(7204, 11423), List(2060, 5657), List(1201, 3681), List(6154, 9879), List(2474, 3954), List(3753, 8179), List(5143, 9791), List(6331, 8236), List(3481, 9184), List(4088, 7876), List(4231, 7430), List(2920, 4421), List(2271, 6227), List(89, 10307), List(1734, 6022), List(1933, 9615), List(1713, 5145), List(4574, 7769), List(954, 2649), List(6127, 11065), List(4100, 7886), List(4289, 10791), List(2667, 3194), List(10755, 11087), List(8898, 10763), List(1054, 9646), List(278, 3009), List(4841, 9052), List(2353, 4724), List(4046, 4617), List(3949, 11100), List(336, 7151), List(6406, 9699), List(3691, 6146), List(6401, 8601), List(1050, 5740), List(540, 3948), List(1539, 5904), List(8949, 9947), List(50, 9948), List(4714, 9627), List(8409, 9444), List(7998, 8412), List(4080, 6079), List(7450, 10270), List(6832, 11389), List(1287, 5279), List(163, 10764), List(4678, 4685), List(2522, 5822), List(6166, 9084), List(882, 7445), List(5008, 6317), List(469, 5586), List(718, 8542), List(2363, 5011), List(2550, 11253), List(4162, 4576), List(3818, 4766), List(2680, 3375), List(4331, 10212), List(7220, 7714), List(4072, 5033), List(1054, 8841), List(2671, 3262), List(48, 2681), List(3752, 6748), List(448, 9970), List(2155, 3153), List(8722, 9917), List(5494, 6533), List(5919, 11435), List(3622, 4423), List(2255, 3734), List(5362, 9797), List(5427, 7940), List(9059, 10441), List(3613, 9972), List(605, 10304), List(3802, 6461), List(4136, 5583), List(9309, 9835), List(6195, 7519), List(1644, 4519), List(4797, 10927), List(153, 6238), List(11078, 11443), List(5075, 10871), List(5195, 10973), List(273, 1055), List(4475, 8782), List(4757, 7714), List(3723, 7457), List(1747, 11413), List(5577, 7483), List(4367, 10942), List(5079, 6452), List(3054, 4100), List(443, 8040), List(5541, 10455), List(6350, 6652), List(5226, 9131), List(3312, 8273), List(220, 9688), List(194, 8467), List(1402, 4181), List(6446, 9743), List(431, 7656), List(1016, 4145), List(33, 6829), List(1363, 7636), List(716, 3853), List(8582, 8701), List(6505, 10323), List(2570, 10295), List(3848, 5250), List(1167, 7697), List(1736, 10069), List(9950, 9965), List(2132, 3653), List(2942, 9120), List(669, 6666), List(7957, 9780), List(1486, 2724), List(5428, 6205), List(2575, 7606), List(8600, 10411), List(6335, 8572), List(8797, 10925), List(4119, 6652), List(7011, 10841), List(977, 3786), List(82, 7071), List(2188, 10351), List(7198, 10667), List(8844, 9990), List(97, 963), List(2428, 6805), List(2865, 3396), List(5084, 5991), List(543, 10849), List(6575, 8409), List(3058, 10584), List(5138, 6227), List(6067, 8942), List(6235, 10970), List(6411, 7254), List(9556, 9637), List(4053, 8634), List(1582, 8447), List(3550, 10265), List(2975, 7324), List(769, 2682), List(994, 5244), List(3563, 7494), List(2195, 10367), List(4717, 6355), List(4311, 5667), List(9820, 9868), List(5286, 9481), List(1272, 4434), List(3280, 4927), List(2548, 4978), List(6579, 11160), List(540, 3761), List(760, 1815), List(1019, 3207), List(8479, 11531), List(1636, 9033), List(3460, 6965), List(662, 8073), List(4868, 6874), List(7476, 9052), List(998, 7241), List(8343, 10889), List(2001, 4435), List(1526, 7360), List(812, 8771), List(3592, 6303), List(5576, 5648), List(1648, 2627), List(1339, 10917), List(3576, 5046), List(6201, 11335), List(8240, 11141), List(5750, 6740), List(27, 1267), List(935, 10275), List(6805, 9005), List(3632, 4574), List(10724, 10782), List(521, 8191), List(925, 5800), List(713, 8361), List(1668, 10045), List(6941, 11495), List(3287, 7545), List(1506, 5553), List(3386, 5272), List(4036, 6320), List(5154, 9688), List(8232, 10849), List(391, 9249), List(5055, 8928), List(7300, 9334), List(10820, 10840), List(2472, 8500), List(1596, 8829), List(5574, 7049), List(6756, 7958), List(1348, 4563), List(730, 5682), List(9687, 9823), List(5554, 9780), List(2640, 3388), List(5666, 10021), List(1837, 11143), List(5693, 6182), List(1092, 3819), List(625, 11523), List(1654, 5020), List(2141, 5138), List(2048, 2695), List(1490, 3865), List(10354, 11225), List(837, 5929), List(82, 923), List(3544, 8086), List(4217, 6674), List(1911, 8998), List(770, 8090), List(4789, 7065), List(2726, 8393), List(1888, 7294), List(12, 2032), List(3618, 8974), List(3444, 7855), List(450, 5641), List(2412, 6890), List(3809, 5509), List(2687, 8815), List(1314, 4928), List(2179, 10102), List(1563, 5632), List(930, 1555), List(5709, 5880), List(248, 5133), List(4324, 4642), List(600, 8968), List(7816, 10516), List(6689, 9314), List(3081, 5709), List(1183, 8794), List(6780, 8678), List(1025, 1792), List(3490, 3662), List(8312, 11097), List(535, 7792), List(1149, 9183), List(2114, 2887), List(1460, 4349), List(431, 4436), List(1262, 10780), List(1883, 2762), List(3438, 6131), List(10220, 11359), List(10699, 10805), List(5401, 10988), List(1258, 3841), List(1388, 9549), List(7475, 9068), List(1661, 4231), List(671, 9908), List(8814, 11092), List(7346, 9597), List(4302, 5768), List(3233, 8708), List(1185, 11068), List(1340, 8727), List(10118, 10651), List(932, 10622), List(987, 11083), List(5295, 10161), List(4104, 11418), List(4223, 6414), List(8051, 8073), List(4255, 10833), List(3171, 11213), List(1117, 3959), List(1211, 9256), List(50, 2808), List(4633, 7975), List(4910, 6563), List(4031, 9627), List(5529, 8298), List(4906, 9073), List(5102, 6733), List(7736, 10132), List(241, 3507), List(3976, 9139), List(483, 3040), List(8388, 11226), List(230, 8229), List(2210, 10838), List(2251, 6675), List(2344, 7620), List(3180, 7892), List(2053, 6690), List(3584, 5501), List(5574, 11050), List(5383, 8072), List(787, 10217), List(7010, 7345), List(3174, 6542), List(3800, 9448), List(5291, 5450), List(8184, 10241), List(3227, 6553), List(8767, 10067), List(5369, 10244), List(5909, 7714), List(1263, 5608), List(9948, 11505), List(8441, 10836), List(3096, 11173), List(3208, 4998), List(687, 5448), List(2994, 6732), List(2244, 5480), List(4716, 9275), List(659, 9816), List(7226, 10918), List(999, 4222), List(1246, 10515), List(1676, 10099), List(8718, 9774), List(6882, 10327), List(2837, 3715), List(4571, 11553), List(2931, 9012), List(10980, 11315), List(10146, 11089), List(6999, 7879), List(1987, 4484), List(4232, 9054), List(1543, 6722), List(2451, 9314), List(1947, 11501), List(2858, 11358), List(6748, 7479), List(3751, 5748), List(4938, 7001), List(2825, 8966), List(3666, 9582), List(2749, 9910), List(1761, 11496), List(1541, 3616), List(450, 2071), List(7483, 10328), List(3371, 8910), List(2163, 2616), List(6744, 6956), List(9220, 9769), List(2036, 11142), List(7196, 8019), List(5771, 9604), List(2595, 6410), List(3488, 7216), List(2061, 5722), List(1588, 3058), List(3205, 10311), List(2620, 7406), List(5918, 6621), List(2905, 3603), List(1129, 9125), List(1642, 3294), List(2336, 11030), List(4788, 8531), List(6790, 9933), List(2198, 4680), List(4606, 6770), List(624, 10306), List(6740, 9065), List(5001, 9928), List(1789, 6323), List(3499, 9603), List(5236, 9044), List(3622, 5472), List(3214, 3957), List(4015, 5174), List(4858, 6617), List(8347, 8810), List(2342, 7411), List(1932, 9233), List(872, 9253), List(1997, 7376), List(92, 5880), List(1186, 11106), List(997, 1785), List(1253, 5912), List(1160, 3469), List(7806, 8836), List(549, 871), List(1766, 10634), List(4598, 7602), List(828, 3669), List(924, 9793), List(1330, 4065), List(4698, 8183), List(7093, 10068), List(1133, 6934), List(1735, 5282), List(2827, 10435), List(6430, 7280), List(3155, 8988), List(3714, 10672), List(512, 7755), List(5456, 9703), List(6168, 8219), List(4332, 6520), List(39, 8474), List(6670, 7117), List(7573, 8611), List(2750, 8121), List(4735, 6910), List(3183, 4970), List(8931, 11439), List(1873, 11231), List(2336, 6037), List(6787, 11085), List(2081, 5518), List(6528, 6660), List(216, 3798), List(5376, 7845), List(1021, 8921), List(7082, 7219), List(2543, 6488), List(2018, 7798), List(8863, 10342), List(7027, 10895), List(1170, 9394), List(5060, 5515), List(4256, 10416), List(6830, 7348), List(4834, 9898), List(3373, 9574), List(8065, 11301), List(1289, 10025), List(5124, 6439), List(938, 2628), List(8575, 10060), List(1565, 9142), List(4638, 9205), List(997, 9624), List(2717, 11340), List(3090, 10390), List(2586, 6161), List(7689, 8920), List(722, 4666), List(5820, 7081), List(527, 7608), List(2736, 6105), List(809, 878), List(1139, 2510), List(1900, 11468), List(1583, 9317), List(3068, 7783), List(11077, 11411), List(492, 8526), List(547, 8233), List(10355, 11426), List(238, 3691), List(4842, 9735), List(4491, 8754), List(1390, 6643), List(1008, 10513), List(2038, 6864), List(7573, 10034), List(8920, 9290), List(2721, 4642), List(1974, 2907), List(1408, 4216), List(5076, 8626), List(4269, 6840), List(3611, 11566), List(5175, 6353), List(472, 5965), List(3211, 7660), List(9312, 9521), List(7745, 11430), List(9467, 9809), List(2614, 6623), List(1989, 10735), List(2145, 11248), List(738, 1361), List(4724, 7770), List(150, 10236), List(1294, 8409), List(3376, 4879), List(2908, 3313), List(6185, 7313), List(5741, 10305), List(7057, 7242), List(9545, 11570), List(1195, 5397), List(3748, 10120), List(7762, 8751), List(9324, 9881), List(909, 5565), List(941, 7732), List(8781, 11359), List(6549, 9660), List(4026, 9283), List(5546, 9433), List(68, 5299), List(5011, 6645), List(160, 8271), List(2018, 11449), List(7431, 8772), List(9389, 9902), List(526, 5396), List(6881, 8305), List(558, 8317), List(492, 9949), List(857, 1968), List(5373, 7411), List(1354, 2774), List(176, 4236), List(5742, 8971), List(1485, 4920), List(3871, 10469), List(6524, 10138), List(2385, 6116), List(3927, 5116), List(6079, 9495), List(1874, 7132), List(3221, 10552), List(4403, 5045), List(8143, 11021), List(3240, 4186), List(2561, 11445), List(1025, 9257), List(1582, 10114), List(909, 5110), List(4792, 10640), List(3917, 10413), List(271, 3318), List(6000, 9737), List(2974, 3104), List(7393, 8614), List(10918, 11218), List(1818, 6799), List(6742, 7341), List(197, 8472), List(3629, 10131), List(2043, 2945), List(8142, 10395), List(2827, 9443), List(764, 10771), List(4081, 4778), List(1725, 2821), List(1042, 3545), List(1967, 2354), List(4026, 10706), List(6321, 8223), List(1687, 3468), List(1002, 3365), List(4980, 6503), List(1119, 3950), List(6604, 7757), List(2524, 11512), List(3142, 3977), List(7591, 8198), List(128, 10156), List(8125, 11515), List(1026, 4890), List(4171, 7273), List(2757, 6795), List(2545, 8602), List(9823, 11028), List(251, 8277), List(96, 10618), List(10354, 10664), List(495, 2221), List(6737, 9225), List(6222, 7813), List(1585, 9957), List(1015, 9612), List(5502, 8655), List(8361, 10452), List(109, 1404), List(3249, 3443), List(296, 7646), List(2725, 7607), List(3551, 7191), List(538, 7179), List(3088, 5969), List(4207, 5775), List(3931, 10795), List(4019, 6478), List(7038, 9688), List(319, 9700), List(816, 3336), List(9100, 11141), List(2454, 5050), List(6261, 9996), List(7536, 7686), List(4576, 10718), List(1491, 1970), List(1931, 6406), List(998, 8453), List(1077, 7056), List(1488, 5836), List(593, 4203), List(1369, 4424), List(2479, 3767), List(10018, 10664), List(3289, 9234), List(1056, 6179), List(4968, 10195), List(855, 1759), List(400, 4562), List(7177, 8692), List(1800, 6862), List(1542, 6072), List(957, 3167), List(7415, 11489), List(9641, 11091), List(2883, 4759), List(3468, 7664), List(5618, 8964), List(1002, 1405), List(6889, 9164), List(757, 5738), List(9227, 9761), List(171, 11276), List(3296, 5867), List(3650, 6365), List(3958, 4266), List(4773, 10077), List(5076, 7634), List(3422, 7669), List(8468, 9894), List(712, 5214), List(1644, 5194), List(6219, 6336), List(3763, 7181), List(2617, 5929), List(807, 5451), List(2431, 2541), List(1586, 5189), List(8805, 9664), List(2924, 10021), List(33, 5276), List(2889, 7556), List(7154, 9216), List(6459, 8425), List(4189, 6242), List(677, 8761), List(5808, 7152), List(820, 8315), List(305, 487), List(3725, 11211), List(3751, 10180), List(3227, 10180), List(2697, 7736), List(7053, 9514), List(1819, 7238), List(5360, 9621), List(1404, 2300), List(4805, 8810), List(2842, 7336), List(4304, 10514), List(2396, 9501), List(226, 3762), List(4833, 7071), List(1280, 3173), List(4884, 10042), List(7778, 8642), List(5843, 6183), List(6307, 11013), List(6568, 9068), List(9271, 10352), List(1733, 7063), List(453, 2613), List(1959, 6063), List(1360, 11396), List(6179, 8734), List(265, 6699), List(4002, 6742), List(3281, 6228), List(2221, 7002), List(2966, 4904), List(5116, 8456), List(3213, 11197), List(5365, 9160), List(3617, 5396), List(1232, 9117), List(5860, 6887), List(4609, 10345), List(5770, 10377), List(2439, 5360), List(9906, 9937), List(7557, 9181), List(685, 1027), List(5172, 6486), List(7806, 9885), List(10209, 10877), List(2556, 2912), List(4817, 8015), List(1213, 10945), List(34, 9553), List(9046, 11149), List(6463, 10721), List(21, 2151), List(3909, 8025), List(7641, 7724), List(2288, 4036), List(6176, 9910), List(2912, 10279), List(1231, 8491), List(5520, 9047), List(9571, 10189), List(2653, 5854), List(4932, 11506), List(4208, 5813), List(8456, 10179), List(8505, 10394), List(7722, 9002), List(8190, 9070), List(1371, 11130), List(7570, 9362), List(3, 6833), List(4956, 6615), List(6255, 8863), List(5016, 7420), List(3173, 10966), List(7502, 7915), List(191, 10267), List(10120, 11535), List(8494, 8700), List(5168, 8191), List(2492, 10982), List(5415, 8068), List(310, 8646), List(2541, 10874), List(5626, 6036), List(2200, 10581), List(5837, 6256), List(300, 761), List(4374, 10023), List(9348, 10682), List(4186, 9972), List(5841, 7129), List(7021, 11375), List(1381, 4247), List(6924, 7278), List(9376, 9697), List(2409, 4689), List(979, 10094), List(2009, 7199), List(970, 5844), List(4213, 5352), List(4925, 7278), List(523, 2122), List(877, 2620), List(6448, 7699), List(5613, 11035), List(2580, 8893), List(8782, 11560), List(998, 10494), List(7968, 8603), List(10232, 10971), List(120, 10750), List(1185, 3904), List(3516, 9746), List(8358, 8788), List(1730, 7410), List(1203, 10899), List(711, 8185), List(8732, 10692), List(5031, 10306), List(4318, 8155), List(4694, 10886), List(6802, 8577), List(5812, 7838), List(2531, 8600), List(5806, 7269), List(608, 7656), List(3498, 8766), List(5979, 11169), List(3023, 5275), List(165, 7086), List(406, 3011), List(9186, 11397), List(509, 10279), List(1834, 4326), List(7838, 8506), List(3335, 7432), List(1243, 3858), List(2576, 11352), List(2235, 8807), List(3690, 4398), List(2858, 4999), List(7302, 8876), List(3162, 5410), List(2475, 4480), List(3836, 7606), List(3464, 11410), List(2944, 9654), List(637, 1954), List(1165, 4325), List(5518, 6586), List(1502, 7128), List(612, 10003), List(9220, 9826), List(4003, 9409), List(10097, 10099), List(515, 10070), List(3965, 6673), List(4836, 9383), List(244, 4130), List(7012, 11150), List(42, 7379), List(8187, 9390), List(2985, 5117), List(2670, 10209), List(3694, 4116), List(4636, 4784), List(2081, 10568), List(2638, 5009), List(652, 8247), List(6275, 7100), List(2455, 5302), List(1895, 4147), List(2608, 9681), List(4000, 7956), List(5901, 7798), List(6966, 8122), List(3752, 7854), List(2157, 11502), List(3354, 7027), List(3693, 10657), List(1824, 8818), List(10274, 11465), List(2381, 7423), List(9781, 11532), List(6979, 9488), List(5867, 9318), List(6292, 7804), List(528, 9500), List(6047, 7973), List(496, 9962), List(9501, 11111), List(1559, 7207), List(5951, 10894), List(652, 4059), List(4576, 10344), List(5224, 11319), List(8995, 10192), List(4656, 5385), List(8869, 11019), List(8122, 10038), List(180, 8386), List(3506, 6643), List(3820, 8496), List(1889, 2773), List(550, 10548), List(9602, 11543), List(447, 9669), List(1567, 7448), List(4985, 10929), List(4780, 7491), List(2693, 4261), List(3803, 10020), List(5614, 11100), List(3682, 5529), List(3522, 7526), List(8105, 8529), List(6539, 10663), List(9648, 10383), List(6232, 6948), List(3577, 10616), List(4614, 8892), List(70, 7817), List(2993, 4903), List(1016, 5251), List(8868, 10393), List(327, 1242), List(8891, 11316), List(4168, 8024), List(6774, 9375), List(1136, 3074), List(6120, 8585), List(1457, 5344), List(3229, 7250), List(4159, 7157), List(4064, 8051), List(2995, 10237), List(3000, 11335), List(1792, 11457), List(696, 3152), List(6637, 7010), List(4398, 6392), List(3030, 6259), List(11033, 11570), List(8380, 9649), List(7345, 11419), List(4329, 5474), List(6849, 7805), List(4196, 5884), List(10933, 11339), List(7321, 10244), List(5855, 9576), List(2861, 7362), List(2797, 9821), List(5186, 6973), List(3565, 8646), List(3651, 7666), List(7984, 8494), List(3340, 9467), List(43, 1028), List(165, 2711), List(5679, 7256), List(6054, 6379), List(8874, 9002), List(1005, 3102), List(3861, 5382), List(502, 2481), List(2052, 7758), List(3027, 11572), List(8032, 11544), List(90, 9892), List(3959, 11552), List(163, 8650), List(2840, 8713), List(1553, 10262), List(2463, 6511), List(6150, 8719), List(4388, 5249), List(2912, 3139), List(6473, 7652), List(7722, 9783), List(313, 8594), List(8328, 11313), List(7219, 9162), List(4411, 9582), List(5290, 6518), List(2599, 8277), List(7645, 11256), List(3849, 7600), List(5750, 8196), List(4988, 5429), List(3884, 10038), List(3540, 10228), List(2248, 4263), List(665, 3010), List(6865, 10512), List(1437, 1577), List(1039, 11330), List(1562, 6187), List(256, 7686), List(2553, 8282), List(3686, 6266), List(1067, 3175), List(2273, 9396), List(1130, 7661), List(6727, 7545), List(8129, 10672), List(7793, 10723), List(7975, 10205), List(3303, 9130), List(841, 10941), List(399, 3426), List(6909, 10410), List(2733, 7287), List(3158, 5773), List(955, 11228), List(3043, 5234), List(2723, 5818), List(1083, 7441), List(1267, 10002), List(5281, 8633), List(9348, 10308), List(2011, 10685), List(3403, 8960), List(6297, 7560), List(579, 8847), List(2164, 5265), List(4032, 9131), List(353, 6814), List(7204, 9927), List(5606, 6888), List(8558, 8876), List(561, 1101), List(7594, 9358), List(6828, 10579), List(5766, 7520), List(3543, 5183), List(5922, 8033), List(2462, 4326), List(3150, 8864), List(2235, 5855), List(27, 10212), List(1589, 11342), List(3389, 4716), List(2893, 6764), List(5596, 8802), List(128, 4602), List(4416, 11349), List(2945, 3921), List(362, 9909), List(2913, 5137), List(3501, 5307), List(3444, 4773), List(419, 994), List(859, 7682), List(761, 4141), List(1793, 8489), List(2132, 7955), List(4996, 7844), List(2224, 4511), List(2841, 3167), List(1096, 3838), List(2276, 10336), List(1185, 8791), List(9903, 10664), List(5137, 6544), List(3986, 4948), List(3650, 11415), List(3712, 5877), List(4946, 6976), List(1595, 3936), List(3799, 8505), List(2328, 7493), List(7591, 8255), List(10011, 11136), List(2731, 7883), List(902, 3191), List(9823, 11085), List(6225, 8168), List(1949, 7847), List(1959, 8535), List(2668, 6780), List(1828, 9772), List(3103, 6708), List(2578, 8018), List(155, 4839), List(6034, 8573), List(3868, 6016), List(3400, 3696), List(8606, 10340), List(1763, 5590), List(4225, 4533), List(5116, 10928), List(1167, 11194), List(10597, 10829), List(2190, 11292), List(1655, 7750), List(4955, 7038), List(5964, 9682), List(5393, 10647), List(446, 7647), List(5549, 11160), List(5821, 9404), List(8498, 9467), List(2376, 6729), List(7479, 10242), List(9380, 10084), List(9468, 9931), List(2338, 3993), List(9192, 10787), List(117, 948), List(736, 7601), List(6852, 10494), List(6847, 10150), List(1147, 2217), List(7313, 9391), List(1466, 10830), List(6520, 7311), List(5527, 8553), List(3541, 6129), List(1820, 4188), List(3106, 9584), List(11, 902), List(2657, 5816), List(353, 10465), List(5251, 10540), List(7359, 8231), List(7486, 10258), List(4910, 10247), List(7140, 8867), List(5402, 10709), List(1732, 5472), List(2532, 10251), List(512, 1827), List(10375, 11143), List(7564, 8636), List(1564, 6827), List(7732, 9910), List(6677, 11028), List(9977, 10316), List(1414, 3850), List(4299, 11032), List(321, 1478), List(7791, 10490), List(7789, 8165), List(6161, 8667), List(4540, 6930), List(6752, 9108), List(398, 6801), List(7223, 8693), List(9642, 10218), List(1431, 7587), List(149, 9480), List(4225, 8989), List(680, 9116), List(5501, 6527), List(6184, 6557), List(10132, 10984), List(5254, 5869), List(5495, 8964), List(832, 3471), List(1771, 7628), List(5183, 7157), List(8323, 9196), List(2376, 11185), List(8611, 9828), List(5488, 8924), List(445, 6216), List(1198, 11149), List(8626, 10136), List(1868, 3804), List(3474, 10868), List(138, 4753), List(2932, 6155), List(2469, 8343), List(315, 10307), List(913, 4749), List(4822, 5838), List(5771, 7677), List(6048, 10429), List(2643, 9435), List(1777, 10452), List(4788, 9637), List(9428, 11174), List(4268, 7881), List(4235, 5489), List(2234, 7695), List(5570, 7394), List(2232, 11032), List(9928, 9999), List(3259, 8620), List(215, 7043), List(278, 4359), List(7704, 9689), List(6026, 10828), List(7055, 9243), List(1800, 8342), List(3125, 8805), List(8491, 11200), List(614, 3527), List(4442, 9350), List(7239, 8017), List(7645, 9459), List(8421, 8926), List(324, 10369), List(1506, 4862), List(5434, 7883), List(4313, 10633), List(4437, 5973), List(7207, 9233), List(2217, 3153), List(6537, 9438), List(2533, 5079), List(6196, 9145), List(74, 6407), List(480, 1433), List(3773, 10130), List(1034, 2773), List(4590, 6188), List(4208, 10058), List(3730, 7050), List(906, 9189), List(2957, 6346), List(6472, 7508), List(7442, 10978), List(4584, 5619), List(224, 7105), List(2581, 7752), List(10113, 11226), List(163, 2665), List(7527, 10527), List(10051, 10348), List(3507, 7917), List(2705, 6475), List(8152, 9798), List(614, 5755), List(3513, 8863), List(736, 5186), List(7766, 9762), List(4089, 7518), List(8851, 10738), List(2015, 9411), List(5528, 9746), List(9327, 10667), List(1631, 6038), List(46, 9620), List(3121, 4848), List(791, 1860), List(7210, 8726), List(1850, 10283), List(3073, 11193), List(971, 6931), List(2370, 6377), List(2471, 6429), List(1783, 2645), List(2352, 9181), List(2311, 2764), List(1378, 4811), List(1500, 3488), List(8571, 8819), List(563, 8799), List(3401, 7467), List(4855, 6620), List(6324, 10969), List(8507, 10497), List(7874, 9830), List(3335, 9099), List(4137, 10541), List(3822, 9217), List(8654, 10924), List(3955, 8026), List(5476, 6149), List(940, 11351), List(4627, 6389), List(243, 7481), List(4138, 10362), List(6896, 9101), List(9294, 10503), List(2787, 7954), List(9643, 10657), List(4447, 4701), List(1258, 6183), List(10915, 11459), List(3405, 3802), List(3783, 8858), List(3284, 4973), List(5400, 9695), List(760, 1742), List(2900, 8016), List(1076, 3668), List(8791, 9101), List(1105, 2154), List(2908, 6379), List(8570, 10822), List(2524, 9422), List(1806, 6173), List(1437, 11002), List(6141, 7828), List(281, 2646), List(3775, 5183), List(124, 10576), List(3142, 5270), List(2901, 8591), List(7247, 9681), List(36, 2061), List(3367, 7832), List(5476, 8377), List(1778, 8262), List(1358, 8642), List(5475, 11158), List(9459, 11078), List(56, 6850), List(5214, 9316), List(10174, 10269), List(5411, 10584), List(521, 8118), List(3501, 5738), List(8664, 9302), List(7674, 8563), List(9129, 10570), List(3248, 10927), List(3090, 3925), List(473, 1661), List(2057, 5768), List(3932, 11559), List(6045, 9594), List(3677, 10286), List(631, 1466), List(4767, 5944), List(7077, 10909), List(6979, 8122), List(7003, 8516), List(7318, 7588), List(3488, 5102), List(833, 8770), List(6703, 8224), List(6404, 7433), List(5196, 5303), List(7090, 10390), List(999, 7719), List(4827, 9378), List(2141, 11481), List(6778, 9337), List(1344, 10383), List(2961, 11220), List(551, 2641), List(872, 11327), List(4071, 4147), List(8833, 10777), List(3141, 3459), List(4562, 10800), List(2640, 10081), List(7048, 7885), List(828, 8776), List(8023, 8693), List(769, 7415), List(8733, 10546), List(5092, 10965), List(7210, 9344), List(8894, 11403), List(3657, 5446), List(2444, 2972), List(4178, 10810), List(7574, 10560), List(1965, 9161), List(5867, 6797), List(2875, 5410), List(6949, 10508), List(2908, 11185), List(10406, 10911), List(74, 6220), List(4730, 8290), List(1182, 4736), List(528, 10362), List(7006, 8009), List(3952, 5744), List(1690, 6832), List(1098, 9926), List(255, 2067), List(9962, 10870), List(848, 2581), List(7257, 8759), List(7307, 8122), List(738, 4695), List(32, 2961), List(301, 7323), List(8649, 10417), List(5782, 7224), List(8151, 9386), List(1642, 10174), List(4840, 5021), List(3560, 7741), List(6450, 8851), List(6463, 7558), List(4066, 9764), List(4159, 5791), List(5243, 10329), List(175, 9254), List(1248, 8715), List(317, 11589), List(4023, 9313), List(164, 1925), List(7049, 10284), List(10619, 11153), List(6512, 10079), List(7966, 9232), List(5318, 7655), List(7198, 7374), List(7155, 10710), List(1155, 9655), List(3364, 7398), List(2545, 10513), List(7407, 10931), List(1469, 10754), List(5129, 8133), List(3582, 8789), List(3264, 3784), List(60, 10620), List(2386, 9702), List(655, 1381), List(896, 4476), List(23, 5076), List(7748, 8191), List(2053, 7772), List(5007, 6423), List(5434, 5736), List(1423, 7376), List(699, 7345), List(7302, 10356), List(2942, 4672), List(2422, 9332), List(2596, 4035), List(4404, 7850), List(827, 5810), List(9786, 10778), List(3385, 8625), List(8643, 9043), List(3662, 7213), List(4004, 10360), List(363, 4363), List(8148, 8283), List(6116, 8924), List(8196, 10983), List(6332, 7236), List(384, 2207), List(917, 9086), List(4358, 7855), List(5920, 8231), List(4079, 8440), List(8573, 10906), List(1715, 6622), List(101, 3804), List(1040, 7207), List(5486, 5495), List(200, 9445), List(9130, 9511), List(7531, 9253), List(4857, 8707), List(2331, 5807), List(6905, 8976), List(778, 5894), List(1652, 2486), List(3479, 7105), List(4855, 9011), List(4315, 5125), List(8734, 10635), List(8546, 11338), List(2140, 2425), List(1599, 7736), List(3155, 8297), List(4285, 9016), List(2410, 3225), List(3120, 5078), List(2903, 7295), List(4527, 8549), List(1464, 2034), List(3673, 6947), List(2214, 7450), List(5646, 9109), List(3929, 11074), List(684, 5077), List(10642, 11247), List(5791, 8709), List(216, 6140), List(4507, 7523), List(2702, 3225), List(6057, 6384), List(5781, 11404), List(327, 6910), List(891, 8938), List(2262, 6336), List(7427, 10727), List(491, 5032), List(422, 9399), List(47, 8024), List(4757, 10300), List(705, 3271), List(6271, 8006), List(1718, 8343), List(2841, 5639), List(8228, 8911), List(3214, 11105), List(5521, 5973), List(1722, 9216), List(2966, 4587), List(3768, 6029), List(7420, 9906), List(2187, 10484), List(2, 10883), List(3529, 9396), List(1192, 9401), List(7190, 10383), List(4301, 5711), List(6761, 7237), List(4478, 11265), List(4889, 5881), List(752, 8348), List(6217, 6615), List(6235, 11328), List(4076, 6532), List(4260, 9093), List(1373, 5248), List(2264, 5227), List(187, 433), List(10360, 10729), List(1272, 1409), List(4172, 9623), List(4566, 7298), List(2919, 10002), List(328, 2543), List(4524, 7072), List(2884, 5285), List(950, 2297), List(8546, 9728), List(1889, 3448), List(3809, 10510), List(3227, 4870), List(667, 6146), List(3647, 3766), List(7886, 10621), List(4586, 11333), List(6862, 11052), List(2194, 7467), List(3503, 3987), List(93, 6059), List(4676, 7062), List(3184, 11589), List(261, 1671), List(476, 5797), List(6177, 10168), List(5955, 11287), List(2053, 7235), List(5511, 7863), List(91, 2199), List(3241, 4926), List(837, 3709), List(4740, 11369), List(370, 11413), List(991, 1143), List(2362, 4957), List(182, 5700), List(2549, 11199), List(3473, 7154), List(6906, 10169), List(2978, 6394), List(361, 10546), List(4905, 5959), List(4189, 6543), List(7361, 10749), List(3655, 10019), List(1356, 8596), List(2109, 7113), List(1820, 7010), List(377, 1630), List(6739, 7962), List(3468, 10543), List(2240, 2873), List(5481, 11380), List(5488, 6135), List(3268, 3315), List(2887, 3623), List(4941, 7844), List(483, 8041), List(6895, 7320), List(761, 7231), List(10640, 11388), List(2356, 4337), List(3601, 8978), List(6545, 6941), List(2761, 7806), List(4869, 5497), List(3506, 5708), List(7057, 8779), List(3352, 5241), List(225, 9853), List(820, 4778), List(9006, 9042), List(4582, 5817), List(2273, 10876), List(3220, 5472), List(1030, 5527), List(8841, 10668), List(649, 5835), List(3233, 9871), List(5822, 10087), List(6691, 10499), List(6567, 8743), List(2981, 8869), List(1210, 7565), List(3481, 6940), List(8269, 10627), List(7548, 8615), List(1605, 8094), List(2260, 3070), List(1797, 1848), List(3506, 11319), List(6278, 8990), List(784, 933), List(45, 10393), List(8316, 10823), List(2567, 7135), List(4084, 10020), List(1154, 3095), List(2988, 8885), List(9130, 10747), List(914, 10024), List(782, 1237), List(436, 600), List(1781, 3193), List(1877, 2901), List(10557, 10706), List(1371, 11431), List(230, 6359), List(7441, 7563), List(5814, 6038), List(8492, 8955), List(8218, 10638), List(5606, 8718), List(6263, 6773), List(179, 9053), List(4380, 6756), List(395, 7365), List(2666, 6740), List(4875, 10899), List(3385, 5673), List(5873, 10001), List(4978, 8368), List(5850, 8297), List(636, 6673), List(4477, 7039), List(1129, 10743), List(6806, 9802), List(5080, 8271), List(2874, 7039), List(190, 5805), List(3464, 3872), List(4456, 11073), List(1686, 8567), List(5206, 10073), List(6812, 9997), List(3804, 10329), List(468, 4968), List(7312, 10320), List(1899, 6581), List(3480, 11171), List(3951, 6592), List(3235, 11340), List(7407, 10557), List(612, 10759), List(1424, 6473), List(4753, 9165), List(736, 10236), List(2539, 9543), List(7269, 7590), List(736, 3820), List(2785, 6566), List(3253, 8132), List(2511, 5243), List(541, 2598), List(6177, 8826), List(9038, 9198), List(1068, 5498), List(1670, 3846), List(1719, 10154), List(7080, 11451), List(1192, 4221), List(8096, 10378), List(2710, 10714), List(3952, 10176), List(6916, 9515), List(624, 8086), List(4886, 6819), List(679, 2131), List(1577, 3281), List(2464, 10658), List(3447, 7974), List(1523, 6428), List(831, 5154), List(2673, 8553), List(580, 11170), List(2075, 10324), List(3343, 10253), List(6983, 10363), List(2726, 8564), List(2848, 9493), List(2158, 9046), List(1452, 8066), List(1825, 6362), List(6513, 11353), List(8970, 9198), List(503, 8856), List(2471, 10674), List(405, 1905), List(196, 8147), List(6729, 9665), List(2123, 6958), List(4146, 8483), List(1154, 7096), List(5051, 5142), List(526, 3363), List(1224, 8589), List(8963, 9158), List(246, 10893), List(5540, 10968), List(146, 863), List(241, 7516), List(5931, 7591), List(709, 2666), List(6686, 9187), List(2849, 9694), List(5245, 9515), List(83, 3143), List(2046, 4617), List(8114, 10502), List(9630, 10533), List(1694, 9827), List(4994, 9115), List(6556, 10245), List(4562, 7206), List(8483, 9810), List(1439, 9308), List(728, 7230), List(8081, 11493), List(533, 6762), List(2243, 3626), List(3373, 8509), List(3777, 6872), List(7044, 10184), List(9656, 9852), List(2920, 7251), List(1125, 1389), List(7132, 9250), List(6499, 9337), List(6812, 7582), List(3269, 10788), List(7777, 9954), List(2233, 3288), List(7308, 10415), List(8514, 10220), List(4190, 10609), List(962, 6471), List(5060, 9711), List(3318, 7647), List(422, 8220), List(1976, 2319), List(6616, 10272), List(2786, 10038), List(797, 927), List(7736, 10303), List(6146, 7879), List(4186, 10086), List(3835, 9105), List(7083, 8203), List(760, 8215), List(8702, 9867), List(1474, 6804), List(8361, 9574), List(2592, 10172), List(4328, 6005), List(317, 1229), List(1509, 6990), List(576, 9037), List(5581, 9009), List(2496, 7431), List(4059, 11415), List(809, 11490), List(167, 881), List(6849, 8911), List(5194, 5338), List(3363, 10399), List(531, 2097), List(3514, 10568), List(1117, 6358), List(6621, 9461), List(6041, 6900), List(2075, 7559), List(120, 4448), List(1142, 7354), List(7031, 11022), List(4257, 11026), List(2760, 11045), List(3565, 9752), List(7297, 9451), List(1827, 4424), List(2262, 10768), List(9791, 10561), List(9507, 10802), List(5154, 6289), List(952, 4197), List(2529, 5635), List(4081, 5323), List(3841, 5836), List(6826, 10216), List(4460, 7571), List(4114, 6934), List(2531, 5681), List(7629, 8096), List(2555, 3823), List(7381, 7994), List(5266, 9132), List(5075, 10318), List(6472, 8183), List(6002, 9954), List(3233, 3886), List(2923, 5158), List(7090, 10447), List(8874, 10458), List(3914, 6499), List(1742, 7103), List(4137, 8988), List(8063, 11182), List(4073, 11447), List(369, 964), List(3166, 8299), List(3393, 4518), List(582, 2011), List(3515, 6201), List(1895, 5066), List(398, 9249), List(4823, 8912), List(515, 9834), List(427, 7735), List(4028, 10923), List(5161, 8907), List(2127, 7294), List(1411, 7878), List(2152, 9044), List(590, 1498), List(6206, 9703), List(874, 11056), List(1025, 4809), List(4421, 10975), List(2936, 6093), List(2370, 7402), List(190, 975), List(1776, 6663), List(2866, 7983), List(5913, 9077), List(2921, 7690), List(9772, 10803), List(7123, 9001), List(2950, 9559), List(7399, 8118), List(1950, 3968), List(2845, 5601), List(2478, 4087), List(1387, 5548), List(1788, 10056), List(10315, 10449), List(1380, 8541), List(4274, 6387), List(107, 1098), List(4585, 10975), List(2131, 10395), List(6169, 7168), List(2935, 11129), List(6261, 9386), List(1419, 11098), List(7725, 9227), List(160, 1863), List(3991, 7203), List(543, 847), List(5890, 11136), List(7125, 8673), List(2452, 4744), List(1405, 9887), List(836, 1099), List(1585, 8542), List(4601, 8825), List(2987, 5253), List(303, 4019), List(1084, 4584), List(6877, 7790), List(4444, 8087), List(710, 8315), List(1763, 10534), List(1608, 9465), List(980, 3480), List(3848, 7275), List(1953, 10631), List(4229, 9596), List(7118, 7852), List(5650, 6357), List(863, 5524), List(978, 10200), List(6729, 7518), List(4578, 6747), List(7423, 8838), List(226, 924), List(3406, 9909), List(2059, 6489), List(1780, 4822), List(4918, 6034), List(10432, 10579), List(1146, 7690), List(10280, 10939), List(9270, 11076), List(128, 4903), List(1680, 4591), List(1339, 4298), List(8279, 10112), List(8611, 9161), List(7272, 7514), List(2421, 11392), List(6927, 10485), List(7271, 10295), List(11171, 11268), List(1046, 4426), List(490, 6423), List(710, 10893), List(9695, 9912), List(1849, 8722), List(698, 2962), List(517, 4082), List(3287, 7342), List(68, 6730), List(2722, 11505), List(6213, 8109), List(8952, 9804), List(2221, 7547), List(3436, 7815), List(1127, 5704), List(1939, 5582), List(1412, 8317), List(223, 10401), List(2112, 9482), List(3330, 10048), List(1836, 7332), List(2479, 7963), List(374, 1121), List(8594, 10631), List(5261, 8951), List(5416, 6610), List(3606, 5378), List(6092, 8879), List(1114, 4314), List(7299, 11538), List(396, 8235), List(4038, 5008), List(3995, 8344), List(9975, 11376), List(4964, 11589), List(723, 3153), List(2384, 7672), List(8349, 10426), List(7939, 8084), List(6411, 10702), List(1903, 4366), List(4826, 8622), List(2000, 7682), List(930, 7768), List(2795, 5701), List(683, 10520), List(188, 9760), List(2831, 4577), List(3268, 5332), List(3760, 5040), List(1201, 9170), List(2539, 10592), List(797, 1358), List(852, 1819), List(789, 7132), List(2155, 10602), List(1878, 5598), List(6733, 9009), List(1134, 8298), List(845, 8195), List(5113, 7874), List(1899, 9858), List(7475, 8865), List(3211, 10059), List(1814, 5024), List(5893, 10466), List(4551, 5138), List(3266, 3350), List(2211, 7878), List(4353, 5153), List(2522, 6050), List(3182, 7786), List(806, 4453), List(2055, 7338), List(1581, 4449), List(2329, 9038), List(8368, 10021), List(5369, 7463), List(7151, 10057), List(7794, 10688), List(2783, 10147), List(3720, 11225), List(544, 7277), List(7450, 9343), List(2632, 6945), List(5644, 9738), List(133, 4710), List(842, 2955), List(728, 6051), List(1189, 7200), List(717, 8144), List(8435, 10088), List(2368, 7811), List(3059, 8860), List(3321, 6416), List(2890, 9613), List(8405, 9098), List(3262, 8438), List(1017, 1616), List(3291, 6924), List(7401, 10181), List(6685, 10011), List(6778, 6792), List(4562, 4872), List(931, 5979), List(1943, 8197), List(1664, 9536), List(5559, 10165), List(9208, 10361), List(7075, 10196), List(8575, 9694), List(10257, 10926), List(1130, 2432), List(1389, 10240), List(955, 7504), List(7507, 9072), List(4654, 11227), List(3054, 7361), List(2524, 11333), List(1792, 11384), List(6006, 10103), List(6045, 9277), List(2093, 5862), List(9565, 10783), List(5640, 11443), List(2085, 10882), List(6603, 11490), List(4139, 7556), List(6205, 10663), List(1429, 2849), List(969, 7560), List(816, 4312), List(1554, 4049), List(8439, 10156), List(2603, 9532), List(8986, 10325), List(5567, 8871), List(741, 2448), List(1957, 8603), List(7645, 8605), List(173, 6313), List(197, 10871), List(329, 6826), List(3746, 7453), List(2199, 5103), List(3257, 4256), List(3100, 4272), List(4805, 7208), List(6047, 8168), List(441, 10450), List(6234, 7994), List(5888, 7357), List(1533, 8433), List(5700, 8060), List(385, 11272), List(4976, 11412), List(1643, 3316), List(2028, 3127), List(8712, 11230), List(9770, 10383), List(3261, 7007), List(253, 11503), List(5969, 6383), List(1239, 1920), List(8407, 9813), List(4572, 6983), List(341, 4153), List(702, 7350), List(332, 6319), List(5782, 6907), List(2193, 3352), List(8046, 11527), List(2041, 3712), List(822, 2921), List(7575, 8909), List(5426, 8965), List(8452, 9182), List(5368, 8206), List(1058, 9055), List(6691, 8596), List(7976, 9603), List(4208, 8749), List(6281, 9637), List(3201, 5397), List(4238, 10089), List(3579, 11207), List(5855, 10926), List(370, 4867), List(7283, 8858), List(2825, 6803), List(2026, 4878), List(646, 10400), List(5094, 8734), List(4646, 7820), List(5031, 7631), List(4716, 6307), List(3222, 10007), List(1694, 2045), List(2745, 10607), List(4307, 10983), List(3185, 10879), List(666, 11402), List(4991, 7451), List(5359, 10321), List(4201, 9806), List(1403, 10914), List(4672, 8637), List(2807, 8452), List(436, 5463), List(587, 5632), List(2806, 11233), List(7526, 7838), List(6849, 8350), List(966, 5628), List(7868, 10958), List(2235, 9165), List(3038, 7045), List(610, 9938), List(7924, 11267), List(4342, 8883), List(2162, 3210), List(2051, 5823), List(1822, 9935), List(2808, 7522), List(918, 11222), List(10629, 11099), List(4371, 10752), List(5059, 8874), List(4123, 4988), List(6077, 8628), List(3316, 8837), List(4149, 9592), List(3213, 4952), List(1372, 5161), List(2217, 3267), List(2092, 7702), List(1023, 4226), List(2684, 8745), List(1208, 7389), List(5098, 9926), List(3052, 7451), List(9027, 10139), List(180, 6166), List(488, 4067), List(4379, 7960), List(3601, 11076), List(9583, 11525), List(4215, 6805), List(522, 6280), List(9383, 9959), List(1477, 8718), List(6313, 7161), List(5809, 5938), List(3262, 10829), List(7701, 7946), List(2004, 10864), List(695, 1512), List(6271, 7689), List(2009, 4792), List(1787, 5911), List(1541, 3226), List(1631, 9535), List(5294, 6431), List(5581, 9871), List(2375, 10218), List(808, 2328), List(2210, 5455), List(3330, 5486), List(7601, 11098), List(4702, 5738), List(5724, 9398), List(9491, 10781), List(8183, 11453), List(6686, 11472), List(4786, 8068), List(736, 7528), List(10326, 11582), List(462, 8457), List(2829, 7540), List(2643, 11322), List(78, 5084), List(3510, 10907), List(2574, 7021), List(5846, 10677), List(1044, 11064), List(6087, 7356), List(5937, 10795), List(6123, 7013), List(509, 1106), List(8609, 10514), List(1005, 8103), List(10189, 11469), List(8072, 9528), List(412, 10972), List(6726, 7464), List(7097, 9097), List(3654, 3839), List(1309, 6235), List(715, 5496), List(3822, 11559), List(1432, 4356), List(959, 1692), List(285, 9295), List(3676, 8701), List(3115, 6190), List(2394, 4178), List(5778, 8075), List(2335, 2817), List(6934, 8517), List(1237, 10681), List(3738, 8798), List(3349, 11497), List(7339, 9734), List(4906, 11529), List(6207, 8188), List(2136, 9023), List(8545, 8785), List(1332, 6754), List(10289, 10895), List(1827, 10897), List(4315, 8809), List(1505, 8402), List(2255, 9654), List(3624, 10389), List(911, 4253), List(3937, 8634), List(1017, 8813), List(4558, 4780), List(330, 7883), List(1440, 7226), List(8728, 10340), List(4671, 8629), List(2661, 11473), List(3714, 10282), List(4115, 10626), List(3521, 6477), List(1124, 2267), List(1600, 7858), List(7665, 7810), List(3086, 9932), List(8719, 9473), List(2096, 9193), List(7497, 9165), List(4360, 7397), List(5846, 8717), List(7403, 9503), List(1116, 2002), List(206, 9136), List(2360, 3008), List(3354, 11036), List(3139, 6910), List(4557, 10570), List(2946, 7269), List(327, 10594), List(3716, 9173), List(1034, 2350), List(1983, 4189), List(4089, 5217), List(9665, 11394), List(7767, 10315), List(3870, 6607), List(537, 11343), List(5996, 9011), List(3400, 7624), List(1483, 9501), List(8478, 8606), List(3996, 8409), List(9524, 10408), List(229, 3993), List(872, 3870), List(1739, 9871), List(1551, 4158), List(5069, 11253), List(2951, 6458), List(2018, 6253), List(9368, 10245), List(5476, 6881), List(6436, 8909), List(4471, 7362), List(2912, 3497), List(394, 7628), List(3358, 7721), List(5474, 9437), List(3507, 4811), List(1671, 4610), List(6483, 11357), List(2572, 3779), List(3162, 11192), List(356, 1859), List(3747, 7681), List(3373, 4996), List(1943, 10401), List(45, 3660), List(9349, 11292), List(416, 6047), List(194, 7166), List(4426, 7188), List(3989, 4181), List(5415, 7702), List(2961, 9374), List(1893, 3117), List(1994, 10339), List(2092, 6710), List(552, 7813), List(7214, 8021), List(2582, 10509), List(2666, 9456), List(2803, 9165), List(6502, 8724), List(2768, 6700), List(5879, 6466), List(3907, 7912), List(5128, 7995), List(8051, 11497), List(1565, 3409), List(9104, 10306), List(3228, 4591), List(1731, 8774), List(17, 10256), List(857, 5766), List(5578, 8231), List(2126, 11555), List(3373, 10607), List(6585, 7796), List(3020, 6547), List(2807, 8883), List(3614, 4253), List(7190, 9074), List(3442, 8118), List(423, 8291), List(2391, 9355), List(1111, 1495), List(367, 10611), List(5806, 6903), List(2874, 5567), List(4066, 7918), List(8773, 10677), List(239, 9113), List(2267, 10982), List(297, 8337), List(4849, 7775), List(4772, 5865), List(2499, 9827), List(357, 474), List(6239, 9387), List(8978, 11082), List(4188, 5814), List(3152, 11146), List(5168, 9248), List(7602, 10307), List(8218, 8361), List(6356, 6939), List(6454, 8228), List(6946, 8690), List(8472, 9409), List(3948, 8986), List(536, 2287), List(3421, 9469), List(317, 3677), List(6165, 11508), List(5601, 9480), List(336, 1475), List(279, 941), List(3737, 7985), List(2713, 7662), List(1808, 5341), List(7054, 8408), List(343, 8281), List(801, 2743), List(9610, 10396), List(2798, 3047), List(1706, 2031), List(5400, 7662), List(45, 895), List(5485, 7211), List(4867, 8330), List(5493, 11236), List(3445, 7180), List(2189, 8042), List(1098, 9503), List(1227, 5187), List(8441, 10072), List(2191, 8088), List(2466, 3597), List(6134, 8007), List(5953, 9127), List(900, 5731), List(4045, 8114), List(6032, 7730), List(3461, 8063), List(7372, 9225), List(7062, 11251), List(3454, 6892), List(3696, 6425), List(4356, 8915), List(607, 5105), List(3067, 7385), List(1296, 6081), List(5561, 8495), List(865, 2862), List(1794, 3325), List(4152, 5328), List(4085, 4106), List(2627, 9715), List(294, 7210), List(3341, 9058), List(4642, 4963), List(445, 7379), List(6641, 9477), List(3857, 3875), List(2427, 10034), List(873, 9519), List(1222, 7421), List(374, 5634), List(1896, 8863), List(7037, 8696), List(7460, 11273), List(870, 6215), List(147, 9792), List(682, 6918), List(520, 8842), List(5497, 6766), List(1522, 8063), List(7267, 7845), List(5868, 8399), List(8954, 9421), List(1232, 3571), List(76, 1631), List(4998, 8516), List(1421, 4224), List(1675, 7524), List(6295, 7685), List(4094, 6797), List(7167, 7614), List(3030, 10081), List(852, 1071), List(951, 4460), List(1531, 7021), List(5610, 10965), List(4827, 9573), List(6110, 11288), List(8037, 10099), List(1566, 3043), List(6007, 7403), List(6041, 6233), List(1412, 8992), List(8583, 10797), List(647, 5927), List(4014, 4939), List(7692, 10037), List(11110, 11266), List(3975, 4230), List(5072, 6721), List(6443, 10535), List(1555, 8896), List(5817, 7629), List(8745, 11475), List(2169, 11041), List(3232, 10538), List(520, 5004), List(2827, 6288), List(2476, 4553), List(6825, 9324), List(142, 4829), List(10881, 11564), List(6022, 10663), List(6335, 9662), List(1535, 3706), List(1065, 7729), List(3463, 6125), List(3365, 5590), List(3334, 4025), List(316, 2915), List(1752, 5626), List(5580, 11449), List(6860, 8729), List(315, 3444), List(6734, 10310), List(4885, 9123), List(4541, 9313), List(6636, 6742), List(34, 6585), List(6314, 10663), List(1837, 10810), List(10051, 10706), List(5634, 10904), List(9524, 11189), List(3357, 4544), List(7581, 11121), List(6741, 6943), List(1820, 5164), List(3623, 9389), List(10453, 10871), List(2069, 5868), List(448, 8295), List(83, 3444), List(2075, 9820), List(6896, 7231), List(3506, 5017), List(8072, 10577), List(2032, 10123), List(4806, 7086), List(1781, 3307), List(4609, 9955), List(3231, 4970), List(5538, 6254), List(5975, 7009), List(2580, 10113), List(4505, 8851), List(1929, 8840), List(3985, 10505), List(1425, 5365), List(7118, 11373), List(2273, 7152), List(1263, 6535), List(3353, 10036), List(2644, 4621), List(9547, 11307), List(5680, 8939), List(608, 5493), List(611, 9174), List(1669, 8327), List(4086, 6773), List(1216, 6315), List(3806, 7887), List(43, 6623), List(8845, 8941), List(3717, 7815), List(1649, 2383), List(10812, 11288), List(4356, 4540), List(4581, 7102), List(273, 1608), List(6532, 11225), List(3445, 8066), List(6375, 7077), List(5376, 8504), List(8235, 10301), List(986, 6361), List(3966, 3981), List(2849, 8385), List(6390, 10768), List(820, 2127), List(2223, 8862), List(4991, 10541), List(5058, 9511), List(569, 8143), List(5832, 8905), List(4899, 10952), List(3842, 8991), List(8198, 10769), List(8628, 10353), List(4519, 8452), List(1333, 3816), List(8877, 11057), List(4887, 10568), List(752, 9698), List(2371, 4946), List(1810, 6599), List(564, 10401), List(6598, 11040), List(1734, 7543), List(2212, 4135), List(5971, 7909), List(7280, 8593), List(1447, 7486), List(1426, 6609), List(5942, 6390), List(3667, 9525), List(4777, 8868), List(6556, 7781), List(3686, 7323), List(554, 10063), List(2753, 7118), List(5647, 5718), List(10749, 11258), List(4627, 8520), List(6733, 10302), List(769, 11156), List(811, 3488), List(4458, 7021), List(6911, 8130), List(4705, 6898), List(1560, 5269), List(3045, 3735), List(3638, 10665), List(10060, 10632), List(1714, 2703), List(8274, 8296), List(9805, 10113), List(3611, 5809), List(5006, 7765), List(2955, 4192), List(4128, 7267), List(1741, 10161), List(6665, 11457), List(306, 8806), List(2384, 3622), List(4440, 6041), List(4228, 7848), List(3041, 6595), List(295, 4483), List(6941, 9820), List(2734, 5132), List(428, 1040), List(9049, 10894), List(5126, 5965), List(3653, 10542), List(2075, 9633), List(3412, 8201), List(53, 4546), List(2417, 6364), List(9472, 10438), List(10566, 11500), List(2495, 11158), List(874, 7169), List(4635, 10989), List(5879, 6360), List(7348, 10709), List(2279, 6780), List(1959, 7364), List(343, 3719), List(6341, 8111), List(8082, 10704), List(1519, 10475), List(5290, 9348), List(238, 8806), List(3316, 9967), List(1475, 7924), List(8735, 8990), List(6832, 7567), List(1267, 10604), List(1596, 2966), List(2075, 8828), List(8947, 9812), List(7271, 8368), List(1072, 10136), List(982, 7210), List(2847, 5143), List(5051, 9712), List(3428, 10558), List(6363, 9159), List(102, 3633), List(3806, 7700), List(2622, 5964), List(62, 70), List(510, 10783), List(2869, 5841), List(5472, 7675), List(4954, 6746), List(752, 10316), List(52, 2765), List(2457, 4584), List(2636, 6801), List(8280, 10638), List(2301, 9706), List(6525, 9867), List(673, 8710), List(2447, 3115), List(1417, 9393), List(1052, 4542), List(8520, 10475), List(4473, 5288), List(6090, 10289), List(4366, 4667), List(4144, 6540), List(2342, 5923), List(2032, 11359), List(4525, 8861), List(566, 10691), List(5802, 7378), List(950, 1232), List(3556, 8999), List(3396, 5334), List(779, 5322), List(197, 6098), List(4328, 5314), List(3997, 6463), List(7229, 10720), List(8004, 10716), List(3358, 5200), List(8839, 11517), List(1238, 3742), List(2046, 8382), List(1079, 9347), List(4157, 9754), List(2070, 6524), List(210, 267), List(5345, 8199), List(3354, 11093), List(4412, 7994), List(2194, 5247), List(2849, 7393), List(4651, 7229), List(7574, 10731), List(793, 2695), List(6739, 6897), List(1438, 9815), List(2221, 7043), List(1226, 5960), List(3903, 6023), List(3118, 7968), List(410, 6340), List(6191, 8785), List(3990, 8651), List(3264, 7793), List(5607, 8734), List(4449, 5967), List(8554, 10378), List(3490, 6793), List(2549, 8979), List(5570, 9606), List(3397, 4350), List(7244, 10223), List(3137, 9149), List(9090, 11112), List(3949, 4863), List(4384, 11207), List(1031, 1705), List(10027, 11436), List(6622, 8190), List(10295, 10692), List(1177, 4913), List(2820, 11135), List(260, 5241), List(2422, 3892), List(3662, 8189), List(1816, 8054), List(3373, 8086), List(7979, 10793), List(3758, 8651), List(4684, 5433), List(1203, 3101), List(2010, 9051), List(3928, 5864), List(3371, 8390), List(9131, 9958), List(7730, 10439), List(2208, 10914), List(255, 10882), List(2901, 9380), List(2390, 10396), List(5237, 9150), List(5533, 5536), List(524, 5822), List(6625, 7683), List(926, 3358), List(184, 9137), List(2708, 5952), List(1276, 11284), List(3533, 8317), List(552, 8220), List(5435, 9515), List(581, 2542), List(6401, 8325), List(1379, 4242), List(5310, 7534), List(764, 5632), List(7383, 8422), List(1000, 1213), List(4900, 9356), List(6180, 6636), List(3181, 10494), List(3551, 9273), List(7535, 9193), List(7077, 8315), List(31, 4734), List(6039, 6404), List(2113, 6839), List(6282, 6539), List(4203, 7334), List(7004, 9907), List(1431, 10417), List(836, 6824), List(3451, 6009), List(276, 7167), List(3103, 4545), List(9455, 10189), List(5128, 6897), List(649, 3965), List(2144, 3119), List(6345, 7992), List(1579, 3872), List(1391, 10237), List(5909, 10845), List(5685, 8885), List(2440, 9304), List(1767, 6552), List(1822, 10423), List(5908, 10620), List(3873, 7580), List(8107, 8429), List(25, 10904), List(2291, 9181), List(2726, 9109), List(422, 926), List(9790, 10263), List(79, 3970), List(2276, 7368), List(9662, 11017), List(6104, 6775), List(5703, 6431), List(3127, 6420), List(5768, 10990), List(7504, 9075), List(1993, 8211), List(1026, 5012), List(3524, 3612), List(320, 10448), List(3326, 9289), List(1831, 3719), List(5261, 8715), List(1123, 8328), List(259, 6008), List(3898, 9680), List(1651, 8447), List(3948, 9043), List(1031, 8739), List(3043, 10105), List(8053, 10421), List(3879, 7344), List(200, 10689), List(4159, 9613), List(2354, 9479), List(365, 6784), List(263, 8759), List(4989, 9316), List(1286, 8857), List(5484, 7043), List(8233, 9426), List(3651, 11277), List(10246, 10263), List(2751, 2884), List(6908, 8239), List(2835, 8247), List(1002, 6065), List(1003, 6667), List(3851, 4922), List(5597, 7859), List(4358, 6416), List(5071, 5534), List(3918, 9527), List(5131, 5585), List(8959, 11408), List(3142, 3644), List(4726, 7751), List(6276, 7366), List(5526, 6114), List(9199, 10868), List(2598, 7903), List(6930, 9287), List(2073, 2797), List(10815, 11480), List(1567, 11327), List(545, 1251), List(1767, 11358), List(348, 4120), List(5523, 9199), List(392, 10054), List(3759, 11318), List(294, 7267), List(3116, 4301), List(8630, 8846), List(3155, 9891), List(321, 11342), List(4457, 9404), List(10126, 10854), List(10659, 11317), List(6140, 11238), List(2840, 7786), List(2212, 8217), List(7008, 10267), List(243, 512), List(4418, 5662), List(378, 6564), List(4569, 5831), List(3762, 4045), List(4379, 9871), List(2739, 7330), List(270, 1554), List(609, 1020), List(2145, 7345), List(144, 9551), List(8829, 9032), List(513, 4695), List(2632, 3676), List(9672, 9694), List(3647, 6165), List(2747, 4188), List(5470, 11012), List(7356, 10576), List(4083, 8947), List(2071, 10964), List(6734, 7789), List(6257, 8389), List(416, 11528), List(8654, 9566), List(1956, 3285), List(4669, 5257), List(904, 8084), List(3328, 9953), List(7161, 9704), List(10337, 11400), List(432, 1858), List(774, 5759), List(2947, 3845), List(3640, 8727), List(6190, 6763), List(9025, 10418), List(5997, 9374), List(242, 8150), List(2707, 8522), List(584, 5635), List(5136, 10735), List(1914, 6442), List(2268, 7694), List(1575, 2812), List(7486, 8713), List(6935, 11054), List(1923, 7659), List(5968, 7855), List(7683, 9227), List(362, 3721), List(1573, 9532), List(1785, 7725), List(8052, 10787), List(2663, 10852), List(2041, 8819), List(5279, 7229), List(5341, 8107), List(1664, 6617), List(4305, 7023), List(855, 4004), List(9900, 10244), List(1254, 7685), List(2532, 2640), List(3297, 10616), List(8310, 10449), List(1679, 6144), List(3145, 3779), List(3761, 5997), List(6223, 8350), List(1370, 11401), List(4906, 7024), List(770, 1048), List(3687, 6987), List(7709, 9643), List(985, 2141), List(2282, 6972), List(7273, 10244), List(4183, 7568), List(4462, 6983), List(5683, 7066), List(5019, 7840), List(1966, 8429), List(5207, 10520), List(4961, 7835), List(6893, 6990), List(5394, 10346), List(1196, 3492), List(7725, 9772), List(1094, 5467), List(1496, 7167), List(2865, 10154), List(1925, 2362), List(7900, 11466), List(1938, 6731), List(5314, 11521), List(7156, 7750), List(6337, 10865), List(936, 4477), List(1337, 2569), List(9078, 9223), List(4568, 6978), List(3317, 7430), List(4818, 10536), List(2757, 6275), List(5752, 11343), List(2481, 6377), List(8016, 9547), List(7512, 8324), List(2653, 5171), List(4213, 5474), List(5240, 8724), List(7415, 8391), List(5892, 7189), List(1539, 2676), List(5489, 9428), List(3304, 9827), List(888, 1403), List(1127, 10087), List(1839, 5597), List(690, 4047), List(4353, 8113), List(3735, 9232), List(2250, 4350), List(3869, 5260), List(2685, 4278), List(6654, 8828), List(743, 7064), List(1333, 8061), List(1892, 5581), List(2234, 8728), List(3951, 6763), List(2230, 4822), List(5807, 7616), List(6675, 10055), List(3163, 6158), List(2201, 3303), List(8236, 10960), List(4535, 7164), List(194, 5694), List(4378, 6426), List(3158, 9197), List(4930, 6939), List(1629, 4016), List(1787, 4602), List(99, 5807), List(6948, 11503), List(3930, 4731), List(654, 10001), List(7321, 10553), List(9993, 10272), List(8198, 10826), List(7472, 8470), List(226, 4047), List(5627, 11189), List(1098, 11146), List(1685, 7708), List(7227, 7885), List(962, 11285), List(4415, 11569), List(22, 9909), List(2008, 5890), List(9860, 11032), List(2880, 5819), List(677, 4858), List(4157, 6965), List(6388, 9193), List(1964, 5968), List(1292, 10234), List(5414, 5954), List(62, 11536), List(3341, 10701), List(6448, 9594), List(1749, 10860), List(130, 3534), List(4550, 7017), List(4170, 7550), List(8684, 9914), List(2144, 11389), List(1213, 1431), List(2049, 8119), List(6567, 8727), List(8484, 9102), List(5844, 11550), List(77, 2395), List(6439, 9481), List(2758, 9747), List(4033, 7437), List(3757, 5287), List(2198, 8592), List(6864, 11350), List(259, 1096), List(4873, 7828), List(1914, 2417), List(2197, 4957), List(3597, 11421), List(2322, 3151), List(3375, 6124), List(5763, 8336), List(7325, 9466), List(9628, 11008), List(2811, 3315), List(194, 7467), List(6360, 9723), List(1711, 3936), List(1031, 4177), List(313, 8098), List(3794, 4014), List(7307, 10765), List(5318, 8070), List(1617, 2022), List(6188, 7926), List(4501, 4815), List(612, 11548), List(4595, 8614), List(582, 759), List(5155, 6736), List(139, 6605), List(4521, 9604), List(3196, 6135), List(6730, 7347), List(5142, 5750), List(6824, 6982), List(2627, 9398), List(9377, 9453), List(2790, 11082), List(3463, 7418), List(1565, 7093), List(3898, 7346), List(9847, 11065), List(3063, 3512), List(9193, 10275), List(9131, 9397), List(4107, 10903), List(3372, 11437), List(6006, 8420), List(4892, 11587), List(3392, 5673), List(7998, 8380), List(377, 8998), List(3297, 5786), List(8243, 10813), List(6531, 6706), List(609, 646), List(2890, 7125), List(1398, 5236), List(1644, 2259), List(1642, 5596), List(7829, 8729), List(917, 8346), List(6001, 7645), List(3341, 10969), List(8323, 9237), List(1191, 10800), List(3412, 6648), List(6478, 9704), List(8189, 9422), List(2067, 7438), List(1659, 9333), List(157, 9008), List(2583, 6042), List(5332, 7671), List(3302, 4975), List(4267, 7347), List(8193, 10295), List(3455, 5971), List(67, 6082), List(3150, 5335), List(7415, 7749), List(1899, 2377), List(428, 1365), List(10398, 11302), List(4882, 5930), List(3084, 6967), List(4665, 8147), List(10148, 10373), List(1986, 4251), List(1189, 10323), List(7997, 9602), List(3946, 5427), List(4032, 10863), List(2208, 6515), List(1358, 8065), List(525, 8064), List(62, 6088), List(4658, 8107), List(10638, 11139), List(6744, 6948), List(7805, 9782), List(1293, 6889), List(3154, 8086), List(638, 8126), List(1328, 2911), List(7138, 8006), List(2437, 8445), List(7258, 8108), List(7416, 9448), List(6264, 10633), List(6114, 6902), List(2836, 11345), List(2832, 8193), List(4549, 10392), List(2703, 3087), List(674, 3999), List(966, 7783), List(6842, 7082), List(8622, 8849), List(6197, 9007), List(3447, 7153), List(2449, 8805), List(3101, 6516), List(4878, 11018), List(9384, 10111), List(6767, 7847), List(7548, 8412), List(2880, 4827), List(1606, 10745), List(349, 7218), List(569, 3020), List(4464, 6655), List(3686, 9771), List(8564, 10722), List(3280, 9083), List(224, 5991), List(2715, 9082), List(4329, 10402), List(4198, 4469), List(4607, 9592), List(3013, 3262), List(1151, 2594), List(4043, 6783), List(1030, 4519), List(3256, 6403), List(5093, 8704), List(8957, 10774), List(3666, 7964), List(1085, 7609), List(1584, 9242), List(10763, 11510), List(3196, 8981), List(2570, 6075), List(5935, 10676), List(2133, 6074), List(7717, 9106), List(398, 4427), List(618, 8897), List(5054, 6497), List(3973, 5640), List(117, 4185), List(3527, 7805), List(1949, 6896), List(760, 4816), List(913, 5058), List(414, 4179), List(1221, 2959), List(290, 5833), List(4925, 7026), List(257, 3441), List(7046, 9840), List(1223, 9421), List(2152, 10638), List(1637, 8472), List(2213, 7127), List(6175, 9732), List(8183, 10225), List(6041, 9917), List(10543, 11520), List(2570, 8303), List(5947, 10255), List(4507, 8556), List(3664, 7113), List(873, 5982), List(4758, 5923), List(4107, 11066), List(9165, 9918), List(2508, 10808), List(6830, 7340), List(8170, 8835), List(1138, 3432), List(3763, 10475), List(5776, 11312), List(2934, 6486), List(396, 2795), List(3632, 4542), List(6899, 8608), List(4492, 9372), List(3434, 4557), List(2379, 4921), List(5529, 7648), List(8320, 9533), List(5732, 8007), List(632, 8929), List(2678, 5742), List(1497, 7687), List(4401, 6975), List(3248, 10968), List(6302, 7571), List(8095, 10354), List(1185, 5880), List(8662, 9647), List(1028, 5896), List(5952, 7192), List(3928, 7694), List(7818, 10985), List(11226, 11526), List(4195, 8977), List(4735, 6447), List(3481, 3972), List(3788, 10316), List(4967, 5292), List(4787, 10020), List(5059, 8264), List(6753, 11011), List(7894, 9667), List(2042, 10762), List(3687, 7231), List(9196, 11432), List(4242, 5009), List(5375, 9409), List(7149, 7978), List(6079, 8064), List(10726, 10772), List(2351, 9238), List(1126, 10911), List(1411, 1446), List(2493, 11573), List(9509, 10027), List(6419, 7351), List(2781, 11451), List(3216, 11379), List(7602, 9616), List(5071, 8624), List(2650, 6272), List(1373, 8509), List(5879, 6848), List(4757, 5990), List(3573, 8418), List(2931, 4979), List(7903, 9729), List(1886, 6061), List(6619, 10795), List(7302, 7819), List(331, 10239), List(866, 7365), List(1136, 11198), List(3543, 7428), List(273, 9480), List(2477, 9885), List(2138, 4003), List(2194, 10728), List(11153, 11532), List(4377, 10256), List(3682, 9465), List(6739, 8995), List(3692, 3737), List(3616, 11097), List(498, 10537), List(7067, 8302), List(314, 2314), List(4826, 11021), List(3427, 5159), List(10519, 10613), List(3139, 7910), List(7125, 8657), List(2147, 6344), List(6042, 7727), List(4048, 4688), List(3353, 6149), List(2673, 6390), List(1049, 2130), List(1054, 2474), List(4106, 8830), List(1616, 10091), List(1700, 2622), List(245, 9660), List(3574, 8188), List(3135, 11524), List(50, 2776), List(2663, 5298), List(1875, 4316), List(1412, 2340), List(2564, 10954), List(3314, 9954), List(9470, 11522), List(1070, 6740), List(918, 9352), List(6109, 7794), List(469, 4830), List(5921, 8497), List(322, 1370), List(4730, 9754), List(2206, 3517), List(2049, 5785), List(1219, 9465), List(9144, 9258), List(5792, 9026), List(5100, 5500), List(2713, 8394), List(3821, 6910), List(3628, 7269), List(343, 2597), List(675, 11472), List(491, 2495), List(4534, 6028), List(4045, 10001), List(9298, 10075), List(1972, 4225), List(5065, 5664), List(6679, 6984), List(1321, 9368), List(2162, 9984), List(6936, 7549), List(1785, 7782), List(3978, 11408), List(10385, 11097), List(299, 9091), List(5827, 11090), List(2128, 10750), List(7135, 7385), List(2498, 3867), List(4805, 5151), List(9712, 10250), List(3698, 4601), List(336, 4435), List(6098, 6830), List(3057, 4770), List(2432, 8882), List(4225, 7501), List(3301, 5130), List(1062, 7922), List(5869, 10161), List(7208, 8021), List(2819, 3851), List(9613, 10594), List(6399, 10326), List(5833, 7471), List(1041, 5540), List(5526, 10172), List(10008, 10369), List(7673, 7791), List(2982, 8918), List(6394, 9201), List(8352, 9577), List(1538, 9729), List(2689, 4909), List(13, 7700), List(6357, 7067), List(4557, 7277), List(1873, 6043), List(6792, 6995), List(1163, 7573), List(719, 4149), List(1431, 1911), List(1871, 8599), List(873, 3835), List(4166, 6116), List(6655, 6882), List(10760, 11293), List(144, 427), List(7986, 11297), List(3235, 5957), List(4998, 5865), List(622, 6818), List(8209, 9999), List(4305, 5120), List(4936, 8370), List(1046, 5833), List(3776, 8940), List(980, 7465), List(1319, 6931), List(1221, 3390), List(792, 7414), List(3464, 7133), List(4398, 4530), List(3754, 10844), List(3064, 10397), List(757, 2697), List(4872, 7796), List(3998, 4788), List(1247, 1578), List(8225, 10882), List(1212, 3277), List(654, 10863), List(1220, 3138), List(5115, 10937), List(5418, 7740), List(2343, 6850), List(7873, 9676), List(784, 3739), List(3143, 5213), List(751, 7763), List(5670, 8715), List(4424, 10265), List(3142, 5742), List(406, 1312), List(5156, 9433), List(1605, 6362), List(2926, 3643), List(4968, 9382), List(398, 7086), List(6616, 9532), List(2610, 5100), List(1386, 10381), List(820, 5274), List(6124, 6791), List(3536, 5265), List(2192, 5526), List(2039, 3032), List(397, 6834), List(2870, 2960), List(2221, 4766), List(7549, 10087), List(6541, 11051), List(2623, 7964), List(1174, 9909), List(761, 11460), List(2788, 4059), List(3676, 4521), List(386, 5921), List(102, 6162), List(6361, 9363), List(817, 8359), List(3952, 10054), List(3241, 3812), List(10056, 11432), List(1193, 11090), List(5818, 10841), List(8715, 8958), List(1284, 4038), List(3997, 6764), List(7595, 9681), List(4487, 9809), List(380, 4571), List(251, 2471), List(7513, 10780), List(4234, 5953), List(7415, 7993), List(1529, 3842), List(906, 3863), List(1002, 10741), List(7253, 9163), List(839, 2641), List(6999, 8115), List(217, 608), List(4605, 10969), List(8301, 11011), List(6990, 7248), List(3669, 7083), List(78, 449), List(2317, 6702), List(2327, 11554), List(7857, 10216), List(4058, 9295), List(3034, 3310), List(4806, 7468), List(1542, 7837), List(208, 3124), List(731, 5151), List(2200, 9500), List(8143, 10021), List(2350, 6061), List(4583, 9116), List(2413, 10547), List(9598, 9776), List(4433, 6139), List(10438, 10921), List(8124, 8466), List(5973, 7695), List(6420, 9138), List(904, 3766), List(4916, 5734), List(1304, 11055), List(10950, 11254), List(3694, 4645), List(8148, 9210), List(772, 3997), List(6936, 9590), List(5057, 7063), List(11034, 11332), List(3198, 10076), List(2653, 5846), List(2971, 4435), List(3124, 7683), List(4533, 5565), List(5155, 10981), List(5031, 9225), List(77, 2802), List(6763, 7568), List(3098, 9845), List(9507, 9607), List(2592, 11205), List(5985, 11438), List(3435, 6232), List(2163, 8813), List(2461, 6026), List(38, 9263), List(3190, 6401), List(4419, 7156), List(1714, 11461), List(7047, 10710), List(1464, 4116), List(1899, 4044), List(10646, 10819), List(11112, 11558), List(3149, 9029), List(7215, 7850), List(4324, 7269), List(5414, 8589), List(1672, 1786), List(3824, 5411), List(6287, 11372), List(703, 5307), List(2382, 7022), List(1236, 1606), List(6745, 9971), List(492, 10722), List(9502, 11491), List(5625, 9159), List(109, 3787), List(5279, 8522), List(7815, 8380), List(4686, 10637), List(230, 5245), List(2212, 10933), List(1715, 3711), List(1601, 6807), List(5018, 7434), List(434, 2042), List(7013, 11075), List(1562, 6098), List(965, 1678), List(373, 8182), List(39, 9060), List(8333, 10413), List(4720, 6464), List(3017, 9990), List(7647, 10839), List(6652, 11254), List(4943, 5166), List(795, 4091), List(3723, 7937), List(3315, 6422), List(4503, 8277), List(454, 7181), List(1975, 7556), List(5648, 10058), List(3093, 4508), List(8359, 8951), List(4061, 4899), List(845, 3804), List(9277, 11507), List(5273, 7148), List(3484, 7547), List(648, 6673), List(904, 4384), List(1879, 7444), List(5172, 10479), List(6101, 6778), List(3823, 10396), List(9805, 10845), List(2776, 9123), List(2174, 10775), List(7683, 8560), List(2017, 6627), List(2213, 3533), List(5533, 10643), List(8432, 9587), List(4841, 7117), List(2351, 2716), List(4097, 5653), List(3787, 11089), List(3350, 8082), List(3625, 5843), List(6123, 8607), List(1603, 7926), List(458, 9528), List(2005, 4708), List(7555, 9664), List(2634, 5633), List(4895, 10736), List(361, 3179), List(478, 4518), List(2434, 11237), List(3093, 3703), List(1814, 2861), List(1411, 8106), List(7512, 9967), List(72, 6459), List(5576, 10316), List(162, 8604), List(649, 8722), List(3214, 8544), List(6683, 9361), List(8599, 10235), List(4143, 4843), List(4640, 5649), List(337, 6915), List(65, 2255), List(3735, 7492), List(8437, 9907), List(1930, 7358), List(125, 9476), List(2704, 6752), List(6620, 8258), List(5995, 8206), List(6220, 10768), List(4635, 8688), List(3233, 3309), List(3516, 11511), List(3727, 10233), List(4596, 5727), List(7698, 11446), List(7204, 10911), List(8978, 9480), List(886, 1845), List(887, 11115), List(1453, 3390), List(8235, 8618), List(986, 11094), List(1535, 5674), List(5934, 10532), List(2402, 5259), List(1068, 6962), List(7174, 9167), List(8194, 11246), List(546, 7789), List(2248, 4792), List(9493, 11242), List(5138, 5902), List(623, 9729), List(10024, 10878), List(4382, 7087), List(7974, 10913), List(842, 7558), List(2994, 5521), List(2578, 3391), List(2581, 3662), List(6727, 8074), List(5918, 6215), List(10892, 11038), List(18, 8050), List(10084, 11279), List(1746, 9627), List(4348, 8607), List(2295, 4207), List(245, 3488), List(7774, 9697), List(1133, 3950), List(5802, 11143), List(5179, 5502), List(598, 3791), List(2192, 2924), List(2522, 5310), List(2897, 4433), List(1627, 7841), List(5484, 5734), List(4737, 4753), List(1691, 8765), List(504, 7512), List(3859, 6507), List(3403, 6456), List(4291, 6918), List(4583, 10702), List(1865, 9884), List(3521, 10649), List(472, 7974), List(2554, 4444), List(472, 1558), List(7430, 8732), List(1645, 11049), List(6440, 10245), List(4191, 5933), List(4982, 7186), List(5720, 11087), List(4080, 9300), List(9173, 11371), List(2113, 10336), List(549, 6881), List(8983, 11247), List(3496, 8525), List(4555, 10532), List(76, 7600), List(2632, 9588), List(1622, 3309), List(4094, 6350), List(1283, 3843), List(76, 10983), List(632, 2570), List(2527, 11265), List(3826, 10507), List(5, 9238), List(273, 9992), List(2988, 7129), List(7029, 7583), List(3639, 4615), List(1366, 5167), List(5285, 10354), List(242, 7646), List(330, 3329), List(1422, 5476), List(4839, 6103), List(1394, 10598), List(2977, 5435), List(5559, 6392), List(1457, 1498), List(5870, 10226), List(1321, 2391), List(326, 9976), List(766, 7242), List(6275, 11443), List(635, 4315), List(1077, 5414), List(7073, 8979), List(4681, 11529), List(6, 10937), List(1869, 2381), List(6700, 7650), List(1652, 3844), List(98, 7493), List(2498, 9722), List(6512, 7599), List(8222, 10879), List(10056, 10253), List(6131, 10159), List(2238, 7324), List(2515, 10076), List(741, 5091), List(8429, 9078), List(1541, 9089), List(3449, 3686), List(5037, 10201), List(2351, 8140), List(391, 10347), List(3353, 7361), List(2849, 3132), List(5028, 5170), List(4718, 10606), List(9625, 10043), List(1851, 7413), List(756, 4968), List(2530, 3537), List(5582, 9893), List(10157, 10281), List(1439, 2746), List(377, 6103), List(6101, 8014), List(6882, 8579), List(1397, 2520), List(2809, 6335), List(8743, 9022), List(620, 9244), List(4203, 8066), List(1338, 8706), List(7268, 8241), List(5191, 5699), List(8298, 11008), List(3319, 3589), List(7589, 10511), List(7080, 8190), List(7582, 9340), List(987, 11108), List(3870, 11047), List(2060, 4153), List(4367, 5437), List(10531, 11030), List(1192, 4343), List(11, 7042), List(2277, 5319), List(919, 8880), List(3161, 3353), List(6726, 10294), List(1258, 6094), List(630, 8777), List(2226, 8737), List(1161, 1997), List(2155, 10025), List(307, 395), List(5203, 6059), List(8303, 8699), List(5104, 9463), List(66, 683), List(8458, 8987), List(922, 1607), List(6596, 8319), List(56, 3378), List(5066, 9329), List(6675, 9551), List(6406, 11578), List(9849, 10420), List(1077, 6032), List(2403, 10103), List(815, 7752), List(2401, 9276), List(2807, 7712), List(281, 7818), List(5482, 6948), List(2188, 5196), List(4884, 9473), List(2019, 9359), List(2769, 4195), List(5004, 8077), List(1394, 3645), List(8370, 9116), List(4108, 6219), List(6415, 7503), List(3237, 3482), List(1047, 2783), List(6466, 8222), List(5566, 6245), List(8052, 9746), List(5970, 11024), List(6844, 7616), List(8652, 11431), List(146, 1335), List(6061, 10388), List(3315, 8276), List(2358, 3513), List(168, 2814), List(6303, 9921), List(2046, 8122), List(1418, 8553), List(236, 1228), List(2852, 3267), List(4182, 11244), List(2991, 6085), List(3376, 5896), List(6015, 10393), List(5113, 5337), List(4324, 10546), List(1719, 5633), List(2933, 8709), List(5818, 9475), List(1124, 7675), List(1425, 8569), List(3018, 4094), List(2806, 6655), List(4363, 6687), List(3976, 6049), List(3168, 10454), List(8462, 11283), List(1368, 5002), List(4480, 10655), List(3602, 10911), List(5164, 11287), List(2131, 3483), List(121, 2163), List(1332, 1558), List(5595, 7309), List(3809, 7225), List(4561, 7052), List(3435, 8704), List(6759, 6888), List(11152, 11177), List(8127, 9650), List(571, 9165), List(1459, 9627), List(688, 3334), List(6758, 10046), List(500, 10453), List(2732, 3484), List(4705, 5646), List(2523, 9726), List(847, 8282), List(114, 10417), List(3235, 8242), List(2650, 5337), List(897, 1229), List(4699, 5831), List(3577, 11389), List(9872, 10083), List(7346, 9435), List(901, 1348), List(6100, 10985), List(1366, 9786), List(9256, 10524), List(6561, 9101), List(6432, 11165), List(8271, 10129), List(477, 1959), List(2748, 6969), List(5709, 6791), List(5636, 11416), List(2207, 3612), List(2468, 8083), List(7910, 11062), List(5448, 5703), List(8063, 11304), List(2146, 5588), List(220, 963), List(3149, 7663), List(3641, 8125), List(8271, 8974), List(1426, 3397), List(1871, 10429), List(1021, 5563), List(6129, 9420), List(5876, 11226), List(176, 3293), List(6970, 10036), List(983, 2827), List(7304, 9158), List(956, 10803), List(5001, 7993), List(5393, 11257), List(1914, 3336), List(10291, 11332), List(389, 7723), List(3009, 11416), List(2257, 10091), List(8659, 8682), List(9562, 10176), List(7233, 10796), List(2875, 5939), List(2279, 4373), List(1286, 6369), List(6599, 10658), List(5797, 9216), List(873, 4510), List(2435, 4886), List(6036, 11484), List(177, 9910), List(7054, 11238), List(6997, 10704), List(3733, 6909), List(8060, 10201), List(5687, 10549), List(3548, 11293), List(3137, 9507), List(2333, 7992), List(7176, 9888), List(2384, 10209), List(6780, 9134), List(9918, 10346), List(4531, 7828), List(4001, 11046), List(8108, 9868), List(6124, 8271), List(2358, 3326), List(456, 2505), List(6653, 7080), List(4091, 4523), List(4086, 4179), List(261, 2037), List(7641, 8123), List(1381, 5451), List(4511, 6802), List(3991, 4292), List(5300, 7228), List(7478, 9822), List(2066, 8937), List(4886, 11560), List(8943, 11019), List(1459, 3829), List(2675, 6951), List(2262, 11508), List(2957, 5883), List(3597, 6997), List(840, 11112), List(2628, 7135), List(3567, 8286), List(6588, 8159), List(1101, 2027), List(333, 6585), List(336, 10266), List(6616, 7174), List(2321, 2639), List(6832, 7738), List(10750, 10825), List(3165, 6936), List(1909, 10050), List(6520, 10849), List(6736, 11413), List(8443, 8760), List(198, 7299), List(4833, 7738), List(4518, 8666), List(6297, 8333), List(4979, 7563), List(1288, 8619), List(4079, 5586), List(7074, 11408), List(8965, 10562), List(4514, 5514), List(5086, 11567), List(9876, 10419), List(4668, 9364), List(8506, 9459), List(10469, 10933), List(99, 9922), List(686, 822), List(6064, 7758), List(364, 4743), List(3765, 11253), List(2141, 9245), List(5315, 10114), List(3639, 5664), List(8649, 8986), List(1020, 9743), List(1245, 8141), List(3640, 9272), List(2293, 5852), List(4355, 11469), List(2201, 6263), List(425, 11031), List(2784, 6089), List(1020, 6710), List(5992, 6542), List(6497, 11373), List(451, 9219), List(3288, 11449), List(1268, 9441), List(10440, 11292), List(2875, 3174), List(4153, 10207), List(2398, 3020), List(823, 8044), List(3753, 6301), List(1817, 9656), List(5385, 8200), List(1589, 4544), List(3987, 5192), List(1834, 7758), List(268, 3476), List(4501, 6352), List(7302, 8925), List(2267, 10242), List(5312, 9011), List(5432, 6861), List(4680, 5536), List(4221, 10849), List(2282, 7517), List(1536, 2974), List(170, 258), List(8669, 9183), List(3313, 5978), List(2368, 6510), List(4805, 11250), List(6259, 10403), List(5734, 7549), List(3120, 4802), List(3211, 11336), List(4142, 8462), List(1750, 11012), List(253, 8779), List(4735, 8976), List(2677, 4232), List(7159, 9347), List(3630, 10007), List(2122, 9837), List(4949, 6461), List(128, 6798), List(8278, 9153), List(3985, 11107), List(4596, 8817), List(1151, 6896), List(3948, 5563), List(7585, 7654), List(360, 2610), List(5239, 6415), List(2188, 3667), List(3378, 8601), List(2848, 5403), List(4188, 7652), List(5735, 6996), List(2004, 10905), List(4986, 5188), List(4063, 5671), List(9441, 11109), List(4742, 5959), List(2185, 10162), List(1280, 7841), List(1688, 3694), List(6908, 7792), List(9813, 9934), List(1812, 11085), List(5922, 9424), List(208, 4067), List(7776, 9450), List(4481, 10506), List(4199, 5158), List(10324, 11577), List(300, 623), List(361, 7692), List(2267, 8632), List(1071, 3129), List(169, 10905), List(4286, 11169), List(2531, 6234), List(1134, 1199), List(79, 1563), List(237, 9319), List(7396, 10333), List(74, 11018), List(4217, 5333), List(3379, 4988), List(1314, 9653), List(8777, 11078), List(446, 3427), List(1272, 3011), List(788, 7328), List(4520, 6273), List(3856, 7047), List(5576, 8763), List(9490, 10196), List(156, 3853), List(5847, 9788), List(897, 7271), List(2948, 4428), List(5568, 8121), List(8360, 8696), List(521, 1507), List(861, 1575), List(5279, 7237), List(1115, 5629), List(234, 7866), List(5251, 9353), List(2942, 7242), List(2001, 3012), List(5751, 9676), List(2009, 9289), List(2164, 4696), List(8734, 10977), List(7295, 8722), List(6149, 7470), List(3349, 8505), List(5429, 10564), List(3218, 3326), List(919, 1903), List(7318, 7393), List(2316, 4686), List(8565, 8697), List(5819, 10749), List(619, 7303), List(1245, 6799), List(10248, 11285), List(971, 5476), List(7595, 9364), List(3108, 8069), List(60, 9002), List(5015, 5447), List(5016, 9055), List(8123, 8702), List(4575, 9312), List(10137, 10141), List(3067, 8418), List(1800, 11343), List(6603, 7424), List(3096, 3871), List(4427, 10538), List(382, 10342), List(2966, 7962), List(4241, 5652), List(5610, 6387), List(3922, 6838), List(2955, 3639), List(3684, 7424), List(2898, 3105), List(9814, 10023), List(2805, 6324), List(845, 2869), List(3962, 9620), List(7969, 10490), List(782, 1766), List(2404, 9363), List(1248, 3259), List(4388, 5298), List(6215, 6911), List(5201, 8030), List(800, 2345), List(4971, 8507), List(5446, 10463), List(7495, 10957), List(1320, 6703), List(7925, 10541), List(1416, 7165), List(237, 9937), List(3719, 8707), List(3528, 4975), List(7516, 8801), List(4902, 6808), List(1975, 5816), List(3867, 8578), List(4304, 8579), List(1902, 4025), List(809, 8823), List(1550, 9235), List(4012, 8178), List(414, 5261), List(2497, 11001), List(1611, 6478), List(1016, 2885), List(8560, 10126), List(1924, 4723), List(1299, 4671), List(29, 1663), List(4292, 7414), List(3762, 4216), List(6243, 7373), List(8242, 8504), List(2509, 11011), List(3419, 7260), List(4441, 10920), List(4690, 7460), List(4972, 10556), List(5655, 10586), List(3604, 7013), List(701, 10579), List(6140, 6871), List(6093, 7025), List(11258, 11416), List(1076, 9702), List(1446, 2065), List(5623, 8796), List(1920, 8337), List(8857, 9716), List(5206, 9447), List(1761, 6772), List(5649, 6984), List(3211, 9189), List(4188, 6660), List(3426, 3893), List(4306, 10853), List(1751, 9467), List(2084, 11370), List(3766, 10350), List(5168, 7061), List(5163, 6717), List(4567, 5151), List(957, 11299), List(2445, 2866), List(5569, 10788), List(6159, 7621), List(170, 339), List(2162, 6715), List(3915, 4407), List(205, 9193), List(5970, 8853), List(2317, 7003), List(51, 5720), List(9204, 9773), List(5183, 9971), List(3445, 11059), List(4617, 4864), List(1852, 2702), List(3156, 4540), List(1125, 2373), List(3184, 9971), List(2807, 7769), List(4925, 6148), List(250, 8562), List(3527, 10310), List(3360, 5474), List(7969, 11108), List(751, 9487), List(274, 10087), List(6665, 8489), List(2902, 7225), List(2675, 8000), List(2398, 9412), List(5168, 6256), List(4542, 9766), List(2138, 4385), List(7375, 10342), List(5720, 6769), List(1697, 3888), List(2605, 6480), List(6178, 11030), List(5688, 10614), List(6712, 8685), List(7949, 9301), List(1135, 5289), List(6799, 7149), List(7790, 8490), List(3989, 10906), List(1785, 7091), List(1007, 6043), List(9726, 10770), List(9031, 9979), List(1937, 3698), List(9476, 10595), List(2155, 11505), List(541, 1517), List(5015, 7488), List(4516, 10773), List(7759, 9527), List(4232, 4598), List(1274, 10709), List(959, 2969), List(3822, 6420), List(2951, 9345), List(4329, 7914), List(8216, 10934), List(688, 7579), List(8685, 9692), List(7097, 7341), List(2640, 8894), List(5320, 8474), List(868, 9617), List(4497, 8437), List(4461, 5774), List(4906, 6390), List(7553, 8496), List(4463, 5820), List(6462, 6951), List(1606, 10485), List(8109, 9882), List(3745, 6708), List(2274, 5696), List(97, 10120), List(319, 2585), List(2185, 3372), List(9060, 11043), List(147, 6450), List(7321, 8496), List(3885, 9347), List(5067, 10256), List(373, 5450), List(2572, 5511), List(5975, 6432), List(2241, 10070), List(7122, 8286), List(3049, 8294), List(2041, 9258), List(3253, 11507), List(8077, 9189), List(383, 5387), List(3154, 9249), List(7646, 10134), List(5278, 10826), List(5586, 8727), List(4782, 7212), List(2351, 4172), List(4087, 6421), List(4496, 10790), List(1719, 7113), List(6416, 9184), List(531, 7887), List(1835, 8227), List(4204, 10389), List(663, 1590), List(2772, 8551), List(5601, 10139), List(5718, 10724), List(926, 5383), List(1301, 4506), List(2072, 4383), List(7317, 10201), List(9301, 10300), List(459, 6671), List(1992, 2145), List(669, 7447), List(6276, 8773), List(4132, 9173), List(4973, 9789), List(5193, 11253), List(388, 1543), List(4475, 8758), List(5055, 11319), List(738, 3053), List(3532, 10117), List(4776, 5488), List(5798, 9148), List(1011, 10567), List(2663, 7453), List(6018, 7202), List(2126, 3838), List(1730, 7248), List(2162, 3495), List(973, 1415), List(6991, 7937), List(8445, 10500), List(720, 969), List(6464, 8420), List(6977, 9759), List(516, 7555), List(2588, 5589), List(414, 9530), List(5025, 10329), List(6298, 6438), List(5582, 11186), List(2676, 4655), List(2030, 3726), List(5925, 11525), List(1906, 6134), List(39, 4368), List(2055, 5476), List(286, 4999), List(5693, 8923), List(3291, 5867), List(5871, 6751), List(3692, 10348), List(5906, 6183), List(7606, 8775), List(4293, 8471), List(295, 4711), List(4031, 10945), List(3074, 8434), List(2542, 8573), List(9722, 10464), List(388, 4121), List(3065, 4184), List(599, 8505), List(196, 918), List(4022, 5914), List(1097, 5749), List(1227, 11457), List(1805, 4523), List(254, 7689), List(7938, 10803), List(4695, 5633), List(11107, 11328), List(2339, 3676), List(59, 7221), List(11239, 11447), List(7648, 11229), List(10213, 11051), List(464, 2022), List(7711, 9299), List(6568, 7564), List(7364, 8437), List(6462, 9797), List(925, 3548), List(6642, 8452), List(2132, 6207), List(3849, 4242), List(4749, 6219), List(2099, 3815), List(3116, 7131), List(4005, 4755), List(5058, 6974), List(4187, 10653), List(8596, 9059), List(541, 6941), List(1148, 7915), List(1642, 2034), List(2206, 4062), List(2216, 5504), List(3233, 8066), List(4893, 5567), List(7065, 10598), List(281, 3045), List(6681, 7225), List(5724, 8878), List(2663, 4688), List(3514, 10910), List(1236, 10364), List(28, 8234), List(4694, 10992), List(1950, 2537), List(6470, 10388), List(1914, 7044), List(174, 889), List(974, 5668), List(1395, 1726), List(1451, 9205), List(6709, 9623), List(675, 2568), List(12, 6196), List(764, 1859), List(3038, 11331), List(1968, 10663), List(2281, 8908), List(1849, 9251), List(7363, 7380), List(1226, 3610), List(4894, 7266), List(6236, 10342), List(1570, 3420), List(5584, 8467), List(1313, 5484), List(1681, 4190), List(4860, 5403), List(2406, 7075), List(7910, 10932), List(6915, 9095), List(341, 5324), List(1055, 3913), List(5069, 8960), List(1707, 8794), List(6432, 6497), List(2114, 10084), List(932, 2759), List(1076, 1757), List(81, 7090), List(251, 5781), List(1325, 2461), List(1025, 9339), List(6312, 8243), List(2757, 7682), List(9952, 10605), List(2204, 9196), List(2139, 2385), List(8322, 8782), List(1111, 1162), List(8359, 11293), List(6821, 9059), List(1877, 9740), List(6359, 10691), List(5, 8384), List(535, 1002), List(3798, 10988), List(811, 9945), List(3842, 11260), List(1683, 6464), List(5170, 5578), List(9712, 9990), List(7814, 9665), List(2888, 5290), List(1685, 3504), List(4825, 5543), List(871, 7717), List(840, 8404), List(2795, 2847), List(563, 9816), List(6999, 7237), List(1369, 11377), List(5753, 8787), List(6405, 6498), List(4262, 9752), List(988, 5269), List(2858, 10716), List(6238, 11461), List(6274, 11118), List(1076, 10751), List(8173, 10887), List(1886, 9802), List(5002, 7283), List(451, 10699), List(1627, 5377), List(6365, 7449), List(4056, 5338), List(10408, 10982), List(3648, 10239), List(1337, 5049), List(4091, 7776), List(4984, 8582), List(2582, 4028), List(2003, 11491), List(8095, 9102), List(2892, 8391), List(6634, 8778), List(4201, 11327), List(6787, 9020), List(4113, 8474), List(8033, 8224), List(5107, 10086), List(501, 7379), List(2265, 5260), List(7310, 8014), List(273, 2267), List(1360, 6322), List(2327, 3105), List(5069, 10733), List(4790, 11318), List(4439, 10337), List(3069, 3715), List(984, 10357), List(5153, 6647), List(3255, 3316), List(5925, 9378), List(6575, 10426), List(8187, 10919), List(1814, 4398), List(1124, 6203), List(4468, 9173), List(3857, 6575), List(5240, 5488), List(6190, 6828), List(2155, 3910), List(7313, 11294), List(1709, 10239), List(4262, 7792), List(3236, 7396), List(3668, 7807), List(123, 1518), List(6043, 6751), List(3085, 10610), List(1583, 10285), List(1763, 6688), List(5839, 6197), List(5689, 9636), List(5186, 11267), List(4570, 6043), List(3687, 8207), List(1954, 3223), List(6861, 9076), List(2597, 3100), List(6826, 10021), List(608, 1159), List(2963, 5143), List(977, 8381), List(2090, 11405), List(4655, 11227), List(2303, 6036), List(3113, 11503), List(4369, 9143), List(2099, 6206), List(8809, 9114), List(6223, 8415), List(5051, 8948), List(2498, 4225), List(1097, 3952), List(1243, 10193), List(470, 7237), List(8219, 11500), List(1425, 3259), List(1298, 6867), List(579, 764), List(3825, 10369), List(557, 6832), List(6131, 11428), List(3906, 6012), List(1349, 6805), List(5251, 8605), List(354, 4968), List(2258, 9245), List(1380, 3085), List(478, 10861), List(5232, 9302), List(2645, 2716), List(3648, 11207), List(1367, 4728), List(3266, 10913), List(4078, 4375), List(4138, 4426), List(8215, 10953), List(2585, 10929), List(3444, 6489), List(9330, 10640), List(144, 785), List(4137, 4955), List(5221, 8739), List(6528, 8596), List(8885, 9243), List(423, 9999), List(513, 5728), List(222, 2546), List(2291, 10832), List(7756, 9099), List(2322, 5981), List(4712, 6768), List(7016, 7754), List(5075, 8513), List(977, 10154), List(1996, 3717), List(7097, 9813), List(4388, 10966), List(1124, 7171), List(7438, 9325), List(766, 2013), List(1956, 7701), List(6283, 10993), List(5375, 7620), List(7173, 10747), List(141, 5344), List(1163, 9004), List(3040, 4288), List(2598, 3943), List(4196, 4730), List(6923, 10572), List(5706, 10608), List(8539, 11184), List(196, 9188), List(3817, 11500), List(440, 9548), List(10098, 11262), List(3308, 6146), List(10092, 11447), List(1468, 6957), List(2607, 11202), List(8801, 9090), List(1860, 9467), List(1459, 9123), List(774, 9020), List(1178, 8881), List(1331, 9877), List(5575, 11414), List(7008, 9690), List(2791, 9976), List(5869, 11137), List(2572, 11366), List(6627, 9998), List(3286, 3539), List(7525, 11148), List(3666, 10176), List(3194, 10366), List(5527, 10619), List(4782, 6301), List(866, 8959), List(18, 756), List(983, 3128), List(2194, 8939), List(5845, 9962), List(4532, 9536), List(2003, 5961), List(6113, 10716), List(5966, 11420), List(7272, 7669), List(10195, 11171), List(3132, 6455), List(2571, 8108), List(1974, 10104), List(7149, 8767), List(5952, 6826), List(1545, 7712), List(666, 4360), List(2687, 2806), List(1873, 7019), List(2160, 10459), List(5233, 6358), List(4899, 7236), List(5678, 11138), List(876, 5109), List(1722, 10233), List(4276, 11394), List(4206, 4239), List(6683, 9906), List(3539, 3961), List(6340, 6534), List(10333, 10704), List(1303, 7024), List(2381, 10993), List(4719, 7426), List(8358, 11098), List(4569, 10865), List(2723, 4314), List(5185, 6667), List(4818, 5153), List(5566, 9742), List(9136, 10611), List(9079, 10077), List(550, 8857), List(423, 1168), List(3628, 10018), List(2721, 11034), List(4030, 6800), List(2879, 5204), List(601, 5412), List(3705, 4788), List(9723, 11310), List(7357, 8665), List(6698, 9783), List(1999, 11049), List(841, 1866), List(1907, 5044), List(9434, 10426), List(3615, 5245), List(932, 11029), List(834, 4078), List(8089, 11216), List(4453, 9727), List(7125, 9446), List(1829, 8544), List(987, 8457), List(3299, 10085), List(1766, 8195), List(6621, 10852), List(4353, 9496), List(8274, 11346), List(3166, 4079), List(6653, 9609), List(3888, 6693), List(2076, 5388), List(240, 10105), List(3681, 8874), List(3939, 7412), List(4835, 7735), List(201, 10150), List(4903, 6149), List(3658, 4137), List(1569, 4244), List(4616, 10256), List(4836, 8310), List(473, 3109), List(2809, 9295), List(5443, 6278), List(7605, 11345), List(1504, 3068), List(5389, 9425), List(1091, 5373), List(2734, 6677), List(4358, 8685), List(4203, 11026), List(3974, 5312), List(1331, 4079), List(4204, 8218), List(3975, 8166), List(7342, 9430), List(895, 11096), List(2297, 10059), List(2139, 6467), List(7128, 8158), List(3135, 4742), List(7467, 8378), List(6219, 6849), List(5467, 7022), List(3042, 11344), List(2442, 3243), List(3868, 4512), List(2634, 3413), List(6056, 8548), List(2699, 7972), List(4303, 4440), List(546, 6374), List(8144, 8216), List(3414, 10169), List(6363, 8476), List(2313, 4526), List(5798, 6977), List(786, 3582), List(9562, 11095), List(4273, 9112), List(7110, 7178), List(4711, 8557), List(8260, 8549), List(9272, 11521), List(7167, 11095), List(591, 5743), List(4230, 5251), List(3012, 8849), List(2177, 11431), List(5078, 7038), List(9496, 9694), List(6745, 11402), List(86, 10711), List(1342, 8351), List(6039, 6258), List(3078, 5682), List(177, 10829), List(3697, 5919), List(1546, 11564), List(780, 5615), List(235, 1385), List(1055, 1124), List(10356, 11491), List(8360, 8379), List(454, 6384), List(1023, 8756), List(8117, 8621), List(8337, 10839), List(273, 1088), List(5706, 6233), List(7106, 8533), List(9131, 10885), List(7522, 8411), List(2073, 4261), List(5302, 11253), List(1549, 11431), List(3187, 10893), List(6024, 8205), List(6862, 9304), List(6337, 6450), List(5496, 11469), List(5605, 5777), List(1778, 3562), List(1401, 7022), List(93, 1278), List(4800, 11207), List(650, 8551), List(2732, 5021), List(1985, 10456), List(7688, 11490), List(1308, 7962), List(1189, 6550), List(2544, 2691), List(3820, 9651), List(186, 4071), List(10361, 11030), List(991, 9194), List(1853, 4271), List(2391, 11494), List(1696, 6539), List(3819, 9426), List(7616, 9520), List(2069, 8999), List(2576, 11247), List(9425, 10527), List(4623, 10914), List(6925, 9602), List(4459, 9759), List(2403, 5842), List(4772, 8004), List(3810, 9313), List(1195, 2958), List(231, 9856), List(3309, 11017), List(8510, 10901), List(977, 7202), List(537, 1268), List(693, 8197), List(3585, 3718), List(472, 5754), List(1841, 6489), List(1908, 8465), List(8506, 10378), List(5, 4790), List(6696, 9900), List(6226, 7507), List(871, 7156), List(618, 2546), List(9057, 11420), List(3756, 7922), List(1118, 7033), List(1954, 7305), List(180, 8736), List(1515, 10641), List(4044, 7800), List(7304, 10695), List(3259, 10499), List(2951, 6182), List(3322, 8569), List(1266, 3898), List(825, 6407), List(1138, 4652), List(5372, 5501), List(3710, 7173), List(4964, 10402), List(2197, 7413), List(5953, 10916), List(3625, 4591), List(1317, 10252), List(2497, 10334), List(3937, 9781), List(3302, 9041), List(9499, 10610), List(3584, 5721), List(190, 6017), List(1069, 2953), List(2024, 4637), List(5568, 11455), List(2896, 5320), List(1249, 1608), List(1493, 8384), List(7126, 8679), List(3918, 5193), List(4933, 7682), List(6970, 10768), List(5962, 10978), List(3720, 10843), List(3092, 4104), List(6648, 8273), List(1070, 6187), List(913, 7701), List(3385, 11496), List(7048, 9146), List(5238, 7914), List(7141, 8556), List(3712, 6414), List(4514, 11239), List(156, 6382), List(6159, 6954), List(1584, 4314), List(2733, 9247), List(4954, 9259), List(1869, 6927), List(959, 4262), List(314, 1306), List(2392, 2538), List(4759, 8037), List(4841, 10321), List(8549, 10343), List(7840, 9846), List(2293, 5161), List(2272, 10700), List(1355, 4612), List(7273, 7520), List(2220, 3370), List(6392, 9757), List(6863, 9342), List(791, 5967), List(4244, 6251), List(5775, 7314), List(5274, 9772), List(2165, 7046), List(6862, 9117), List(1504, 7337), List(1592, 7184), List(5867, 10286), List(2280, 7558), List(7192, 10749), List(4083, 4613), List(2505, 3704), List(3024, 8241), List(4679, 8808), List(5336, 7617), List(1305, 7127), List(2458, 3134), List(1499, 10376), List(1753, 5008), List(1058, 10633), List(4022, 9972), List(4674, 5431), List(2202, 2390), List(8676, 8963), List(535, 7825), List(3042, 9197), List(4005, 5080), List(5659, 8428), List(5633, 7207), List(7436, 10678), List(1056, 10156), List(2921, 8089), List(6739, 9060), List(3511, 11338), List(791, 1779), List(4001, 4557), List(2982, 5332), List(6177, 7078), List(6402, 9640), List(8513, 11012), List(3995, 4742), List(1166, 4285), List(3026, 4880), List(3209, 7216), List(5941, 10369), List(6466, 6807), List(7498, 11155), List(1738, 3171), List(617, 11583), List(5362, 11416), List(3019, 4059), List(5412, 10779), List(6163, 6217), List(2109, 4023), List(3578, 9126), List(9400, 11572), List(6181, 6796), List(6781, 8481), List(3450, 3464), List(1702, 3864), List(1299, 1939), List(6488, 10888), List(6180, 6571), List(172, 5655), List(3778, 8433), List(4836, 7586), List(507, 1215), List(300, 4120), List(161, 3961), List(322, 11234), List(2960, 5707), List(296, 10013), List(2435, 2853), List(6077, 10206), List(354, 569), List(4012, 4291), List(5383, 8105), List(904, 5173), List(3977, 5236), List(10050, 11465), List(9150, 9488), List(191, 9438), List(5628, 11319), List(30, 5548), List(5346, 9354), List(5843, 10160), List(34, 7919), List(4287, 6566), List(853, 4080), List(1417, 6108), List(1695, 1888), List(7856, 7964), List(2004, 2643), List(4371, 8142), List(14, 6893), List(5153, 5899), List(7386, 8200), List(5576, 7722), List(1247, 3603), List(2924, 8655), List(3345, 4713), List(974, 5888), List(7329, 11049), List(2928, 5364), List(3779, 10832), List(3086, 6704), List(190, 11441), List(3268, 6186), List(5198, 5268), List(1588, 10662), List(5033, 6921), List(4268, 10996), List(3427, 3964), List(5008, 8554), List(6539, 10371), List(3640, 5011), List(1238, 6873), List(307, 3331), List(3564, 5955), List(1420, 1437), List(5907, 6896), List(1301, 4189), List(611, 10158), List(4033, 11129), List(2015, 3532), List(2642, 9292), List(9113, 9932), List(4075, 7568), List(8736, 9982), List(9522, 10891), List(1506, 11010), List(1631, 9958), List(1538, 6761), List(1975, 3352), List(982, 5348), List(1133, 8927), List(7384, 8103), List(4247, 5581), List(7387, 7620), List(1532, 9198), List(69, 5795), List(2691, 6151), List(1870, 8439), List(3253, 7352), List(4332, 5130), List(1410, 10898), List(4082, 10617), List(7038, 10095), List(1333, 2572), List(6268, 7410), List(248, 4979), List(2584, 11165), List(3090, 3389), List(3730, 10165), List(679, 7417), List(7103, 8211), List(2120, 3302), List(2077, 6638), List(7838, 11060), List(3320, 4790), List(3793, 4448), List(4942, 9381), List(3479, 8984), List(1084, 5601), List(3167, 4925), List(455, 8059), List(3497, 6557), List(5799, 7497), List(1387, 2377), List(2347, 4405), List(1755, 4493), List(504, 7951), List(5827, 6512), List(849, 8363), List(1534, 2804), List(749, 4749), List(250, 3870), List(346, 9994), List(2242, 3830), List(1758, 7393), List(2121, 5001), List(7255, 7827), List(412, 5329), List(7375, 8683), List(1643, 6130), List(863, 2003), List(6809, 6959), List(3887, 6311), List(4662, 6307), List(858, 5042), List(2236, 3611), List(2413, 5001), List(487, 6792), List(2973, 3123), List(4003, 10808), List(2575, 6460), List(4930, 10444), List(5367, 11199), List(6590, 7945), List(4780, 7467), List(7013, 10522), List(9659, 11272), List(907, 1901), List(72, 4483), List(10130, 10857), List(2591, 3960), List(2250, 3667), List(3432, 10992), List(8573, 10825), List(1811, 7003), List(257, 3482), List(2309, 10663), List(2240, 6362), List(5039, 7354), List(383, 6038), List(1056, 4626), List(376, 4867), List(4641, 10691), List(7351, 7484), List(5138, 11497), List(2433, 2970), List(1148, 1182), List(6727, 10286), List(5406, 5835), List(1622, 10864), List(5631, 8397), List(8160, 8562), List(8151, 10728), List(3760, 9895), List(2571, 7815), List(5074, 6759), List(7247, 9763), List(1573, 6434), List(3159, 5706), List(7047, 11580), List(4528, 6441), List(6835, 7725), List(4624, 6149), List(7389, 9065), List(3939, 6046), List(6079, 8910), List(2591, 9571), List(9228, 11412), List(2683, 6127), List(4641, 6503), List(3400, 8397), List(8257, 8471), List(7875, 8177), List(4329, 5450), List(2085, 7898), List(5290, 10332), List(3800, 5106), List(7972, 11493), List(367, 6228), List(3827, 7683), List(2139, 8134), List(456, 2513), List(1982, 3986), List(5132, 6713), List(3167, 8576), List(1400, 4762), List(6618, 8033), List(2516, 7303), List(4854, 7900), List(2180, 7354), List(2431, 11137), List(5991, 11318), List(2608, 10275), List(5841, 8341), List(2880, 8519), List(4626, 11456), List(3630, 7519), List(550, 5531), List(9853, 10309), List(710, 3534), List(5175, 6036), List(9761, 10720), List(573, 10618), List(4409, 9886), List(2938, 8874), List(3216, 4654), List(1786, 10059), List(785, 860), List(1621, 5296), List(4965, 11272), List(10208, 10658), List(41, 3560), List(2061, 5568), List(3427, 9038), List(8315, 10677), List(8685, 9456), List(1309, 10659), List(5758, 8464), List(7038, 9908), List(5173, 5559), List(2463, 3104), List(7636, 11520), List(2332, 4341), List(6600, 10436), List(5822, 9388), List(7878, 11053), List(532, 7934), List(8214, 10221), List(3656, 4552), List(4973, 8480), List(9238, 10140), List(5685, 10406), List(45, 9694), List(4154, 5179), List(418, 7990), List(602, 10551), List(4211, 9096), List(2370, 9305), List(5701, 7906), List(9073, 9514), List(1511, 7329), List(3157, 6652), List(7226, 9154), List(4793, 5287), List(2774, 3881), List(2459, 4809), List(6873, 10729), List(3018, 9876), List(1151, 8864), List(3291, 10974), List(4683, 6997), List(8177, 9534), List(3033, 4522), List(2661, 8326), List(5157, 6099), List(109, 3047), List(4061, 11380), List(6148, 8194), List(6499, 9175), List(2508, 11467), List(913, 1529), List(1200, 5723), List(238, 2114), List(5835, 6916), List(6337, 7312), List(1506, 2797), List(5179, 5299), List(2190, 9845), List(4306, 7397), List(2281, 9209), List(3000, 8896), List(505, 9813), List(10718, 10840), List(1964, 7058), List(1783, 11184), List(2192, 9137), List(4546, 10267), List(6041, 9421), List(4946, 11140), List(8399, 11424), List(2932, 6668), List(1461, 5656), List(3024, 9640), List(6403, 10941), List(584, 8766), List(747, 9696), List(2476, 4358), List(6066, 11521), List(1587, 10841), List(897, 10394), List(1076, 5441), List(1395, 7638), List(5686, 9021), List(4277, 8887), List(6245, 10705), List(6333, 6388), List(792, 2649), List(7326, 7775), List(4585, 6007), List(1027, 1765), List(2558, 6992), List(1190, 2695), List(3841, 8707), List(7685, 8647), List(6301, 10233), List(5937, 8266), List(6, 2090), List(3643, 11351), List(1023, 1242), List(842, 2362), List(4231, 11521), List(57, 5061), List(8401, 10665), List(5163, 5839), List(11038, 11329), List(8617, 8977), List(2865, 8024), List(2447, 5067), List(2261, 6597), List(2629, 4549), List(6594, 6671), List(9163, 9675), List(732, 4826), List(5220, 8975), List(6923, 8832), List(7107, 11393), List(2749, 6536), List(3679, 5689), List(878, 1618), List(1652, 6674), List(1619, 11452), List(5764, 6594), List(3176, 5068), List(3308, 7439), List(7437, 9992), List(243, 4261), List(1838, 6248), List(3708, 10941), List(620, 3430), List(3973, 5762), List(5093, 5793), List(2135, 9652), List(2979, 8287), List(2696, 4966), List(2627, 2917), List(1732, 5448), List(7554, 7894), List(4347, 4633), List(7643, 11349), List(2125, 5150), List(10750, 10996), List(5640, 6312), List(7264, 8320), List(10068, 10410), List(3585, 6003), List(5080, 5157), List(1938, 2291), List(7758, 8074), List(5289, 8714), List(4456, 7959), List(5269, 11445), List(2343, 6891), List(378, 9508), List(4196, 10479), List(4726, 6507), List(8922, 11036), List(338, 5945), List(4565, 4869), List(1856, 10186), List(1135, 3256), List(2635, 2754), List(8832, 11493), List(1601, 2497), List(6089, 6646), List(7049, 8674), List(2011, 10474), List(9012, 10148), List(8917, 11042), List(1593, 1855), List(572, 7465), List(1534, 4658), List(1066, 2338), List(1845, 8492), List(5520, 7657), List(4675, 9551), List(6772, 7053), List(2663, 11568), List(3155, 5614), List(4218, 5111), List(5646, 9459), List(3277, 7297), List(1654, 1727), List(3491, 4782), List(3613, 9875), List(2641, 6332), List(805, 6885), List(4736, 10177), List(10204, 11371), List(6591, 7422), List(746, 3272), List(4706, 11466), List(4455, 7683), List(188, 4442), List(2180, 10818), List(2392, 2595), List(2827, 8939), List(361, 6090), List(1517, 5778), List(4287, 9038), List(7303, 8567), List(1634, 7117), List(9302, 9698), List(1118, 5480), List(793, 5720), List(768, 7353), List(3724, 6831), List(7423, 10554), List(7304, 9142), List(945, 6491), List(4468, 7514), List(3563, 9357), List(4218, 7339), List(610, 3734), List(1544, 10957), List(8450, 11525), List(7041, 7227), List(9382, 11505), List(4490, 6714), List(6974, 8634), List(9780, 11551), List(8526, 9076), List(4150, 9275), List(1559, 1816), List(5731, 8203), List(2656, 6559), List(3427, 6436), List(3730, 10409), List(3831, 10461), List(1651, 11204), List(3948, 5384), List(1771, 5644), List(4942, 6242), List(4128, 10455), List(3725, 9284), List(308, 2241), List(4514, 7458), List(6962, 7469), List(4653, 9522), List(2199, 4778), List(2451, 5753), List(5708, 8377), List(1258, 10347), List(10308, 10515), List(3682, 6554), List(5645, 7274), List(734, 11101), List(3308, 10285), List(545, 1780), List(691, 8021), List(4627, 10903), List(1195, 2828), List(1310, 3340), List(5678, 6633), List(6170, 7095), List(2809, 9783), List(2597, 11590), List(6140, 8384), List(2150, 4485), List(6687, 8553), List(6814, 10580), List(1421, 7493), List(989, 1420), List(3851, 11062), List(5530, 6361), List(6995, 9056), List(5777, 6238), List(3696, 6206), List(4501, 11329), List(3663, 3814), List(9506, 11301), List(5246, 9985), List(3162, 4020), List(290, 2735), List(2074, 2746), List(2387, 7407), List(6640, 7552), List(3371, 7577), List(5611, 7639), List(1323, 10691), List(5242, 9462), List(7360, 7841), List(1319, 6785), List(2212, 7591), List(5666, 10729), List(8728, 11357), List(721, 2140), List(4045, 6740), List(2004, 10271), List(1035, 3993), List(6821, 10946), List(1680, 4697), List(8345, 8586), List(2488, 9337), List(7273, 7845), List(2925, 3676), List(7305, 10012), List(2268, 4840), List(1112, 2146), List(3479, 4235), List(1954, 6370), List(2014, 10585), List(7611, 10469), List(6145, 9801), List(5716, 7409), List(325, 7401), List(4461, 4709), List(3807, 6171), List(2759, 8460), List(5592, 9036), List(5399, 8641), List(2839, 9917), List(8599, 10731), List(3711, 9846), List(2555, 3742), List(6739, 10890), List(2005, 8937), List(2463, 4153), List(3578, 3840), List(1246, 10605), List(9398, 9623), List(5265, 9580), List(3589, 11546), List(1562, 8367), List(4040, 5591), List(1968, 7557), List(4291, 9374), List(2031, 11289), List(7342, 11341), List(8930, 10686), List(623, 8347), List(5657, 9057), List(3611, 6582), List(2136, 8080), List(1893, 8322), List(6805, 8103), List(1827, 3538), List(5932, 7949), List(8353, 11055), List(390, 8526), List(323, 6550), List(6053, 10161), List(1880, 10719), List(4686, 8718), List(7790, 8848), List(204, 2105), List(2096, 11283), List(46, 10564), List(877, 10492), List(2465, 4175), List(2936, 6012), List(1561, 4708), List(2366, 9831), List(3852, 4735), List(5567, 8359), List(811, 6839), List(3669, 5782), List(7215, 8509), List(276, 8932), List(2141, 7619), List(5258, 7954), List(2517, 10350), List(1765, 1855), List(1419, 7634), List(7387, 9905), List(1876, 9041), List(8543, 9593), List(1070, 10863), List(3752, 4854), List(1412, 3430), List(3065, 10340), List(1532, 8450), List(916, 3980), List(1251, 5956), List(7484, 10188), List(4736, 11413), List(2613, 5520), List(6076, 6492), List(7103, 10496), List(3545, 6254), List(6939, 9341), List(2766, 9899), List(5037, 9274), List(2485, 9657), List(8834, 9368), List(489, 5791), List(244, 10124), List(2026, 8554), List(4414, 9268), List(3597, 6794), List(6339, 7252), List(3345, 11454), List(7832, 10497), List(5526, 5651), List(1233, 8359), List(5560, 10897), List(1561, 2748), List(131, 8153), List(535, 8768), List(299, 10181), List(1476, 4330), List(9682, 10000), List(4859, 8756), List(8809, 9846), List(9934, 10221), List(3671, 10284), List(6938, 11344), List(3803, 3987), List(1894, 9165), List(3358, 9006), List(4841, 10809), List(3609, 4121), List(894, 2820), List(3129, 6702), List(3887, 5563), List(1394, 1645), List(6221, 8670), List(2262, 10500), List(5350, 5933), List(6337, 9784), List(4028, 8427), List(1641, 11321), List(1753, 5146), List(2472, 4833), List(3308, 5105), List(826, 2477), List(1409, 2303), List(1281, 3057), List(1633, 6892), List(1926, 3761), List(8718, 9677), List(683, 4828), List(1676, 3586), List(2020, 3396), List(2465, 8176), List(1708, 8005), List(4326, 10871), List(8340, 9502), List(2834, 8982), List(9264, 9621), List(6096, 6288), List(7565, 10637), List(3136, 9320), List(1513, 8668), List(6370, 7988), List(11473, 11501), List(10600, 11347), List(5784, 7864), List(3714, 5769), List(8147, 10211), List(1256, 3535), List(1106, 6974), List(2720, 7540), List(944, 8898), List(3251, 7930), List(4653, 10303), List(4997, 10867), List(658, 6060), List(107, 1985), List(7008, 10877), List(4551, 5862), List(1339, 2257), List(2746, 5728), List(1810, 8258), List(251, 7399), List(1994, 10819), List(130, 9324), List(6539, 9086), List(1341, 8719), List(6503, 7177), List(2520, 3695), List(6506, 6694), List(1838, 3109), List(4412, 6457), List(8926, 9575), List(4297, 5164), List(2867, 10569), List(4479, 11062), List(28, 6014), List(2918, 7124), List(3164, 4147), List(2293, 7072), List(1854, 10408), List(2974, 8187), List(8206, 9636), List(2204, 11164), List(3909, 7684), List(681, 3546), List(8728, 11438), List(5591, 6664), List(2974, 11570), List(3960, 8403), List(3304, 6786), List(5991, 7537), List(1559, 6703), List(5764, 9066), List(5545, 9702), List(2565, 3414), List(5455, 10940), List(1343, 5358), List(1719, 8089), List(7531, 9847), List(3329, 11165), List(7807, 8210), List(2824, 3301), List(5483, 9174), List(2274, 9250), List(4976, 11063), List(7216, 11125), List(9210, 11158), List(1679, 4876), List(2921, 10000), List(1765, 3896), List(2594, 7161), List(10231, 11183), List(52, 6734), List(1822, 7813), List(4060, 4796), List(5646, 6320), List(4314, 8096), List(3808, 10210), List(1530, 7412), List(8818, 10526), List(380, 10922), List(4874, 6972), List(5646, 9703), List(1902, 6237), List(3297, 8193), List(3236, 10169), List(774, 5564), List(6071, 11572), List(2279, 5406), List(63, 6492), List(472, 10861), List(3144, 10580), List(159, 6200), List(5945, 6737), List(5191, 11001), List(8776, 10650), List(4041, 5843), List(7750, 10254), List(1797, 2629), List(675, 1771), List(3665, 6495), List(4138, 9159), List(4938, 7522), List(4597, 7229), List(1890, 8455), List(88, 7838), List(1583, 6992), List(4713, 8343), List(4749, 8000), List(5520, 10129), List(5144, 10781), List(6460, 7718), List(5993, 9006), List(1, 1453), List(3524, 9646), List(5451, 8457), List(5820, 10017), List(9223, 10938), List(6914, 8827), List(407, 6278), List(503, 5986), List(4179, 8005), List(2299, 2624), List(7252, 8822), List(2646, 6115), List(7135, 7483), List(7726, 7924), List(1918, 2932), List(9214, 10071), List(6468, 7959), List(3290, 9600), List(5850, 9078), List(7776, 10670), List(2454, 6295), List(4725, 5670), List(2853, 4314), List(2010, 2871), List(4788, 9402), List(3787, 7373), List(2352, 6018), List(4437, 8421), List(3353, 4637), List(3561, 4586), List(2344, 5376), List(7868, 10609), List(1134, 8835), List(1970, 9107), List(6046, 8616), List(6732, 11573), List(4314, 6486), List(3989, 4474), List(4265, 10007), List(3210, 10371), List(1121, 4062), List(7070, 8535), List(5826, 6748), List(2015, 8476), List(991, 8153), List(4356, 8590), List(5199, 10033), List(6123, 10152), List(242, 6345), List(2609, 5428), List(5716, 11491), List(9026, 9969), List(6531, 10886), List(8520, 11329), List(1385, 5047), List(961, 9415), List(4975, 11456), List(3624, 4884), List(3170, 10541), List(701, 11181), List(5961, 6010), List(3065, 6583), List(1969, 11110), List(6482, 11374), List(4522, 9417), List(4969, 10860), List(203, 10904), List(2930, 3914), List(1099, 8975), List(9557, 11483), List(6858, 10318), List(6820, 9834), List(445, 7404), List(787, 10551), List(6036, 6719), List(7102, 9897), List(3740, 9731), List(8391, 11457), List(3611, 7631), List(7618, 8501), List(4378, 9264), List(1329, 7343), List(7898, 11524), List(1394, 8492), List(1605, 6460), List(612, 1286), List(3129, 4100), List(1890, 2657), List(5488, 5574), List(7141, 8320), List(1389, 4361), List(2113, 10808), List(3381, 10737), List(1752, 9139), List(8572, 9933), List(2264, 4561), List(4530, 10008), List(3821, 4593), List(2004, 9360), List(3740, 5193), List(4249, 7514), List(264, 7369), List(2649, 3648), List(5080, 7442), List(2874, 6210), List(4274, 8510), List(9786, 10730), List(1073, 2785), List(7258, 9255), List(6076, 8346), List(6330, 10148), List(3928, 11256), List(432, 1476), List(1061, 4653), List(8305, 10878), List(10242, 11131), List(1830, 4834), List(1296, 10562), List(4652, 6749), List(7929, 9251), List(9376, 11397), List(1659, 11553), List(10657, 11531), List(6703, 7289), List(3633, 10907), List(10438, 10669), List(1627, 6353), List(1107, 3843), List(412, 9468), List(417, 3396), List(2557, 10424), List(4270, 10969), List(4865, 8146), List(10439, 10490), List(105, 11388), List(4178, 4964), List(1903, 8099), List(2457, 9439), List(781, 7995), List(4074, 10276), List(4048, 9055), List(11050, 11583), List(8068, 10884), List(4823, 11303), List(2115, 3259), List(7469, 9801), List(67, 5619), List(3484, 10410), List(4198, 8999), List(3969, 9701), List(956, 9689), List(987, 2586), List(7019, 8060), List(9768, 10443), List(3541, 10163), List(793, 11388), List(2348, 8341), List(9137, 10576), List(2234, 7273), List(4911, 7336), List(3003, 6323), List(6086, 11238), List(5458, 7505), List(3911, 5909), List(1043, 2114), List(382, 6569), List(506, 2663), List(43, 687), List(4772, 7931), List(4020, 5852), List(2427, 3911), List(1716, 4085), List(752, 4567), List(6822, 11279), List(690, 1437), List(8809, 10895), List(3112, 7397), List(2365, 5662), List(1902, 4440), List(4577, 10092), List(1370, 6831), List(1991, 3731), List(2015, 8289), List(4101, 7130), List(4543, 8229), List(5941, 7450), List(6873, 8184), List(3545, 6848), List(3468, 4184), List(2855, 5647), List(49, 3484), List(2327, 3276), List(9262, 10998), List(5315, 7927), List(652, 11102), List(5311, 10437), List(8855, 10839), List(9142, 10115), List(2496, 4024), List(4247, 7305), List(3192, 6171), List(358, 7622), List(45, 2961), List(6977, 11166), List(6672, 10530), List(946, 1376), List(5114, 10273), List(417, 1786), List(3085, 10431), List(7658, 10746), List(3893, 7157), List(1546, 8726), List(3849, 6104), List(1767, 3218), List(4943, 11330), List(3549, 5812), List(1053, 8012), List(2794, 4189), List(8585, 11486), List(1608, 5790), List(18, 7530), List(491, 3024), List(3590, 5062), List(4219, 5233), List(2194, 2881), List(513, 1093), List(4709, 11284), List(5765, 7358), List(6771, 10485), List(107, 9450), List(2598, 6879), List(4488, 6562), List(1150, 10200), List(2277, 4986), List(1810, 6274), List(2395, 2763), List(1402, 4759), List(2732, 5566), List(1121, 8681), List(307, 6478), List(5528, 7014), List(1711, 8897), List(5286, 10864), List(1523, 9600), List(2113, 6433), List(7271, 9653), List(857, 7295), List(206, 6022), List(1820, 2424), List(3972, 6803), List(6093, 8863), List(7984, 8771), List(8075, 8135), List(1375, 5191), List(943, 5534), List(946, 9215), List(1034, 5652), List(686, 8352), List(2993, 9636), List(4897, 6743), List(5513, 5551), List(7047, 8043), List(220, 6078), List(2535, 11387), List(7468, 9793), List(10704, 11540), List(7505, 8894), List(2452, 8908), List(8064, 10578), List(4272, 4412), List(8191, 9599), List(4576, 11239), List(10604, 11309), List(1354, 10329), List(5409, 8961), List(3100, 6850), List(9729, 11082), List(4104, 9150), List(4412, 7051), List(2170, 6162), List(1010, 8984), List(1149, 6110), List(5965, 9593), List(5461, 8370), List(1202, 9154), List(6116, 9762), List(7668, 9450), List(5269, 11583), List(2385, 7255), List(5360, 10947), List(1700, 7152), List(11342, 11396), List(5148, 6338), List(3180, 5274), List(5803, 8484), List(8251, 9249), List(474, 2938), List(5730, 8945), List(1382, 4776), List(436, 6618), List(1026, 3451), List(260, 8836), List(3116, 11116), List(10994, 11063), List(4294, 8119), List(6565, 9746), List(7535, 10210), List(3017, 3940), List(1581, 11028), List(2395, 4536), List(400, 10694), List(3287, 8123), List(6733, 11400), List(3567, 8140), List(4305, 7877), List(1326, 10859), List(47, 3601), List(5859, 7611), List(984, 10341), List(912, 8775), List(700, 10582), List(2125, 4833), List(4365, 9059), List(3219, 3643), List(6763, 9707), List(223, 11182), List(5168, 6939), List(9130, 9544), List(3242, 8730), List(4016, 8124), List(1533, 4140), List(5299, 9085), List(3396, 6164), List(3573, 6800), List(2487, 6353), List(4703, 6021), List(4050, 10337), List(2636, 9859), List(114, 285), List(1094, 10859), List(8709, 9672), List(1364, 6024), List(703, 4063), List(2850, 7344), List(8299, 11494), List(5413, 10503), List(2194, 5727), List(143, 2154), List(3888, 8474), List(3224, 9248), List(309, 9771), List(304, 9427), List(423, 5177), List(5039, 7818), List(323, 7225), List(2174, 8458), List(8609, 9441), List(1049, 1667), List(10137, 10987), List(3193, 7683), List(5097, 5544), List(6776, 7259), List(3722, 4240), List(6994, 8650), List(3931, 8551), List(2719, 11183), List(8223, 8624), List(131, 7405), List(3455, 5589), List(9091, 11063), List(1433, 2754), List(2188, 8514), List(4961, 9039), List(6943, 7557), List(7168, 10119), List(7096, 8553), List(6756, 11114), List(9208, 9369), List(6534, 6571), List(3726, 6991), List(1233, 3073), List(7099, 11453), List(1210, 1369), List(4762, 11458), List(4846, 10405), List(7891, 9174), List(2606, 9562), List(6897, 10945), List(674, 1739), List(2871, 4383), List(942, 2493), List(3159, 11431), List(7329, 9821), List(8633, 10161), List(9094, 10556), List(2680, 4034), List(1382, 5394), List(8622, 11500), List(3309, 4959), List(9726, 10998), List(5237, 9630), List(2718, 10907), List(10215, 11162), List(3895, 7685), List(3606, 7582), List(1520, 11343), List(954, 6236), List(3906, 8224), List(8541, 9417), List(2080, 3049), List(4150, 4420), List(2907, 5487), List(4094, 10904), List(290, 9639), List(6676, 8451), List(984, 10959), List(6736, 8502), List(3286, 5483), List(2868, 9696), List(1096, 5538), List(5731, 6731), List(3396, 9815), List(636, 827), List(5670, 8707), List(42, 3094), List(2688, 8008), List(4453, 8743), List(2429, 2829), List(340, 3690), List(7347, 10726), List(4083, 6931), List(4205, 7860), List(461, 5148), List(4201, 4708), List(6869, 6937), List(4940, 11463), List(8615, 9874), List(5721, 11274), List(8297, 11285), List(2168, 7376), List(2794, 11036), List(461, 8531), List(5991, 6439), List(3035, 6961), List(1796, 5518), List(3936, 6130), List(2793, 10811), List(6583, 7482), List(1013, 6011), List(1223, 2623), List(300, 10276), List(7819, 8627), List(5332, 7907), List(1632, 11129), List(4268, 11191), List(6260, 11151), List(350, 6606), List(4169, 8179), List(4105, 6474), List(225, 4625), List(1894, 5652), List(6718, 8996), List(118, 10420), List(1582, 10261), List(1207, 4722), List(3886, 5612), List(6250, 7430), List(1429, 7013), List(6067, 7723), List(1057, 7407), List(5967, 10525), List(5669, 11060), List(6497, 7307), List(991, 6787), List(6259, 8647), List(7276, 11209), List(1207, 8105), List(7334, 8181), List(5534, 8391), List(2081, 2445), List(1370, 2619), List(525, 5267), List(3195, 10575), List(2887, 10422), List(6151, 10053), List(4473, 11192), List(8981, 11112), List(1672, 7121), List(2257, 10026), List(1770, 3492), List(5524, 6922), List(4197, 9796), List(4524, 5495), List(1824, 10144), List(3968, 7492), List(3878, 10982), List(5081, 6352), List(3279, 9899), List(4550, 10099), List(3526, 4114), List(10458, 11565), List(1989, 4734), List(3389, 7034), List(4149, 6722), List(1473, 9513), List(2361, 9975), List(1406, 1875), List(4920, 5064), List(1654, 4606), List(3910, 9365), List(9183, 10815), List(682, 5227), List(4039, 5049), List(7099, 11266), List(3202, 7558), List(2145, 5597), List(7186, 7478), List(3747, 4648), List(1763, 2297), List(7523, 10281), List(28, 10072), List(2633, 8569), List(673, 4360), List(1664, 2291), List(7398, 8300), List(3905, 5207), List(5639, 10793), List(2187, 6947), List(2469, 10043), List(1225, 8256), List(1013, 10817), List(3220, 7733), List(138, 9836), List(1442, 10176), List(1368, 7783), List(2646, 8400), List(6383, 8443), List(6603, 10661), List(5799, 8392), List(1098, 9585), List(439, 9949), List(6355, 9778), List(2546, 8169), List(2448, 5382), List(1740, 9991), List(10471, 11345), List(3501, 6820), List(3695, 10069), List(4657, 6508), List(2074, 6080), List(5928, 6708), List(4811, 6194), List(2130, 8641), List(917, 6167), List(517, 8677), List(2563, 5490), List(4488, 10644), List(8603, 9327), List(3710, 7344), List(5200, 6154), List(1688, 3011), List(631, 8964), List(3616, 7682), List(5460, 11154), List(2712, 5963), List(196, 6757), List(5178, 11441), List(65, 824), List(1749, 9299), List(8127, 9748), List(1658, 3519), List(1131, 10418), List(3450, 9083), List(4816, 9547), List(3321, 3977), List(4203, 11010), List(1521, 4187), List(4351, 7498), List(10484, 11526), List(524, 2277), List(10482, 10699), List(1826, 8206), List(7767, 7900), List(5437, 11328), List(5129, 11175), List(8432, 10734), List(9146, 9323), List(9294, 9975), List(5025, 10825), List(765, 2339), List(1785, 11588), List(8980, 11505), List(6085, 9270), List(11071, 11444), List(1844, 4998), List(502, 6840), List(2900, 7488), List(3409, 9809), List(1914, 4239), List(1874, 7092), List(5611, 7135), List(79, 7646), List(5265, 6498), List(6610, 9091), List(4919, 5861), List(1343, 10839), List(1561, 5814), List(7163, 10206), List(1432, 3714), List(1626, 3957), List(2997, 7771), List(2954, 11107), List(6197, 9861), List(1084, 6414), List(3332, 10501), List(586, 5383), List(780, 2216), List(3574, 10034), List(1836, 11122), List(1433, 9951), List(5103, 8018), List(4857, 5333), List(3792, 5009), List(4015, 10908), List(916, 11152), List(1795, 8088), List(3980, 7689), List(960, 10670), List(3293, 10923), List(3298, 11267), List(421, 10392), List(3229, 6966), List(1511, 5296), List(986, 2442), List(3775, 9916), List(1719, 5999), List(5860, 10067), List(4832, 8844), List(4426, 8156), List(4209, 9619), List(5926, 7654), List(6420, 8943), List(3625, 9568), List(1776, 3500), List(3933, 7469), List(3331, 9121), List(6326, 8527), List(2401, 6154), List(9185, 11455), List(6599, 10756), List(4171, 7233), List(2705, 6565), List(3269, 8593), List(4222, 10204), List(5564, 6110), List(3635, 10636), List(7148, 10971), List(2296, 4825), List(3784, 9978), List(205, 11275), List(6552, 9405), List(3966, 8706), List(6805, 7599), List(4191, 11268), List(4496, 5488), List(4862, 7531), List(7790, 11377), List(5408, 8199), List(2313, 5933), List(4212, 9112), List(2630, 10713), List(1073, 4265), List(2286, 4487), List(758, 9357), List(4588, 5427), List(1410, 7068), List(3117, 4415), List(5698, 8153), List(8213, 10140), List(2614, 9429), List(2999, 9240), List(10709, 11323), List(8739, 9432), List(1813, 10841), List(7816, 9915), List(2176, 2787), List(6317, 6855), List(6812, 10998), List(3034, 4538), List(5497, 10499), List(8330, 11075), List(675, 6447), List(3584, 5355), List(2451, 11478), List(5061, 10319), List(452, 1679), List(985, 4394), List(4118, 5262), List(2215, 8003), List(3803, 10354), List(3407, 9600), List(2536, 11027), List(7944, 8006), List(4766, 9647), List(915, 2120), List(1942, 6124), List(6908, 6922), List(5113, 7476), List(6231, 6680), List(3455, 10021), List(1252, 9060), List(6632, 10407), List(6878, 7430), List(8999, 9490), List(5637, 9324), List(1678, 10400), List(2650, 8281), List(3944, 9431), List(269, 4604), List(3357, 5699), List(4014, 8672), List(934, 6684), List(3611, 7501), List(2910, 8393), List(6626, 6805), List(3999, 6105), List(638, 8793), List(1147, 4698), List(1598, 5159), List(3597, 6290), List(7585, 9362), List(3070, 9025), List(9541, 9665), List(5458, 8985), List(334, 5349), List(7832, 9993), List(1665, 9764), List(271, 10662), List(636, 2681), List(9813, 11292), List(9128, 11189), List(10005, 11462), List(3305, 8518), List(2515, 4457), List(1716, 2532), List(1241, 10375), List(8744, 11199), List(6250, 7056), List(7691, 9357), List(7066, 9305), List(901, 9903), List(11078, 11273), List(2926, 5839), List(2761, 4082), List(10825, 10827), List(247, 4949), List(10596, 11529), List(3789, 8688), List(3916, 9961), List(10356, 11288), List(3589, 7122), List(5489, 7493), List(2249, 8256), List(421, 7172), List(7167, 9737), List(541, 5022), List(758, 3559), List(2678, 8369), List(1906, 9021), List(7940, 8906), List(125, 2865), List(226, 9333), List(4827, 5280), List(2298, 5115), List(5532, 6789), List(10550, 11130), List(2122, 6552), List(7058, 10891), List(8633, 9250), List(1143, 2969), List(862, 6891), List(2374, 9432), List(9134, 10175), List(8225, 11118), List(6637, 8767), List(2540, 8381), List(8199, 9897), List(2691, 8550), List(1385, 5885), List(4339, 10952), List(7737, 11529), List(1003, 2585), List(2375, 10007), List(4245, 8284), List(3994, 4501), List(5425, 8366), List(5260, 10773), List(6698, 9393), List(4358, 5717), List(691, 11331), List(2926, 10295), List(3019, 7076), List(9830, 10036), List(6721, 8064), List(1495, 5649), List(5497, 6929), List(27, 1902), List(3946, 10095), List(6683, 8711), List(5411, 11292), List(2264, 8082), List(543, 6141), List(7549, 10323), List(1021, 6897), List(3070, 9643), List(3627, 8248), List(6146, 7725), List(6710, 9753), List(5583, 8551), List(1046, 2231), List(4591, 11149), List(1224, 6475), List(4341, 4558), List(6770, 6771), List(1743, 2344), List(2685, 10182), List(3273, 10352), List(10528, 11074), List(7966, 8517), List(1053, 1116), List(2795, 10727), List(558, 10936), List(6189, 9650), List(11318, 11378), List(6665, 9579), List(7522, 8476), List(2635, 5527), List(4870, 9409), List(5229, 11005), List(7459, 9625), List(609, 10120), List(4434, 5846), List(6247, 10005), List(415, 455), List(6517, 11586), List(856, 9997), List(512, 10187), List(2406, 3196), List(4708, 8300), List(1343, 7082), List(7915, 8528), List(1943, 2351), List(5024, 9445), List(630, 4931), List(631, 7785), List(6758, 8615), List(8726, 10433), List(5894, 6295), List(7472, 7958), List(2057, 9054), List(2582, 5492), List(2093, 9465), List(70, 10192), List(3741, 4697), List(9317, 10874), List(1440, 7365), List(8398, 10375), List(344, 5476), List(8468, 8862), List(374, 7570), List(2014, 2941), List(5539, 5545), List(2388, 11261), List(5000, 10929), List(2756, 3551), List(6747, 11058), List(1797, 8541), List(496, 5466), List(1427, 2592), List(711, 7340), List(554, 3192), List(1168, 4583), List(5213, 8943), List(3253, 6986), List(3537, 6745), List(9949, 10188), List(3032, 5297), List(1693, 10820), List(5024, 5257), List(2032, 3870), List(5089, 10570), List(4671, 7613), List(1684, 6570), List(846, 5471), List(7568, 9894), List(5613, 9035), List(10315, 11450), List(1310, 3885), List(3240, 9383), List(2120, 2936), List(1161, 10178), List(4863, 11166), List(6468, 10488), List(6569, 10540), List(5253, 7187), List(525, 3551), List(1280, 2141), List(3107, 6760), List(4289, 7669), List(622, 6867), List(2045, 3701), List(1303, 9480), List(7158, 7902), List(2268, 9573), List(3564, 5134), List(6399, 6537), List(10158, 10311), List(787, 10502), List(145, 7063), List(1217, 10086), List(4641, 4714), List(2841, 11340), List(7321, 11464), List(1530, 1915), List(3926, 8906), List(5708, 11500), List(6735, 8334), List(885, 4594), List(3614, 4847), List(7039, 9499), List(3460, 4380), List(3138, 8301), List(3702, 10329), List(6940, 8739), List(4540, 7264), List(2406, 8352), List(617, 1581), List(3297, 6079), List(6031, 6676), List(810, 5359), List(1178, 9727), List(1917, 3650), List(7271, 10946), List(2830, 10750), List(76, 1607), List(5122, 10248), List(6035, 6768), List(2599, 7619), List(6647, 11496), List(768, 2100), List(2660, 4862), List(2878, 10417), List(5263, 6696), List(8480, 10645), List(1699, 2609), List(10477, 10949), List(7473, 8047), List(353, 545), List(358, 889), List(1459, 2398), List(5364, 10885), List(5481, 11470), List(722, 8521), List(2191, 6454), List(4582, 10095), List(3233, 10766), List(2708, 7912), List(7415, 11425), List(9032, 11508), List(1675, 6345), List(718, 7998), List(2337, 9662), List(6788, 8294), List(5721, 7143), List(7331, 10973), List(3733, 8056), List(6305, 10577), List(4039, 9294), List(8491, 11534), List(4372, 4781), List(3723, 10751), List(6149, 7031), List(1815, 2568), List(7984, 9259), List(1196, 10632), List(2844, 6618), List(4406, 6994), List(7885, 8499), List(982, 5950), List(2907, 3934), List(383, 4867), List(1291, 6705), List(5080, 6938), List(171, 258), List(2380, 5171), List(314, 566), List(4895, 4906), List(1025, 5273), List(5355, 5830), List(5611, 9957), List(2309, 3426), List(3326, 5988), List(2522, 10889), List(6624, 9367), List(2116, 3031), List(4946, 10506), List(6725, 9419), List(3444, 3765), List(4696, 10331), List(3261, 4812), List(6910, 8418), List(2579, 8390), List(83, 3420), List(3596, 3755), List(213, 9128), List(920, 10710), List(426, 10175), List(3654, 7897), List(1259, 4514), List(2234, 7574), List(1313, 10412), List(506, 9380), List(2036, 10972), List(1255, 3991), List(760, 9647), List(3855, 4746), List(118, 2451), List(2083, 9633), List(917, 2841), List(449, 1275), List(3776, 8802), List(197, 10099), List(1814, 4520), List(2261, 5963), List(1788, 3299), List(396, 860), List(5965, 9276), List(2068, 5568), List(3909, 10994), List(1626, 7852), List(6295, 8629), List(908, 5357), List(885, 10823), List(2593, 11024), List(10148, 11284), List(5301, 10400), List(602, 7502), List(31, 2051), List(2267, 4623), List(2678, 4157), List(2925, 10450), List(2273, 6323), List(4143, 6852), List(1894, 9710), List(4602, 4922), List(1819, 7092), List(4444, 11129), List(9234, 9981), List(8148, 11032), List(1742, 8535), List(6021, 8403), List(4037, 6052), List(6251, 11309), List(797, 6815), List(4004, 10076), List(3772, 4845), List(3467, 10625), List(1977, 5399), List(1747, 2493), List(3131, 10676), List(5187, 8177), List(5, 6091), List(1188, 10608), List(5678, 8414), List(2156, 3829), List(1316, 9073), List(4122, 4820), List(2900, 10928), List(5921, 11555), List(5513, 10040), List(5487, 8819), List(4852, 7325), List(688, 5717), List(2574, 5281), List(5724, 8008), List(710, 10202), List(4237, 6463), List(2764, 11040), List(9264, 10166), List(4596, 6581), List(4697, 7387), List(5380, 10827), List(3888, 11190), List(2073, 10368), List(5186, 7551), List(3498, 8002), List(4599, 7983), List(6115, 8014), List(1147, 10553), List(9299, 9571), List(10254, 11255), List(1095, 3223), List(9601, 9909), List(6402, 10673), List(2873, 11333), List(2811, 10455), List(3183, 3645), List(2868, 4573), List(8456, 11511), List(2534, 5451), List(328, 4219), List(1285, 2566), List(7730, 11407), List(1909, 5399), List(727, 4490), List(2349, 9835), List(1373, 2386), List(192, 4331), List(283, 3695), List(5006, 7741), List(1329, 5497), List(4515, 7881), List(38, 3864), List(1211, 6939), List(875, 11154), List(2732, 5062), List(92, 10516), List(2169, 6642), List(235, 3654), List(522, 2930), List(7089, 10448), List(1421, 5436), List(3950, 5601), List(2138, 10712), List(894, 8171), List(4631, 8214), List(889, 1411), List(2570, 3953), List(6131, 7712), List(2239, 4348), List(3846, 10913), List(2190, 4486), List(487, 8012), List(2142, 4415), List(955, 3162), List(387, 10060), List(2156, 8285), List(1725, 5066), List(1314, 4034), List(448, 11467), List(2470, 3722), List(769, 10327), List(3684, 6798), List(4711, 6638), List(2875, 11355), List(2068, 9569), List(8813, 11532), List(4778, 7860), List(908, 5975), List(7759, 9088), List(2556, 8377), List(5605, 8046), List(3063, 7619), List(3553, 7254), List(3274, 7839), List(3417, 8147), List(815, 6915), List(1154, 6381), List(10892, 11087), List(7564, 9751), List(4561, 9703), List(9829, 10809), List(6553, 9663), List(4290, 7897), List(4783, 11213), List(2229, 2855), List(238, 5749), List(1451, 6725), List(2129, 5657), List(5797, 7061), List(5187, 8795), List(232, 5934), List(1851, 6844), List(3688, 5735), List(8944, 9490), List(6977, 11280), List(4805, 9632), List(4399, 8190), List(9932, 10533), List(2150, 6884), List(7105, 7493), List(2838, 4252), List(6234, 10418), List(2122, 4836), List(4955, 9576), List(2825, 3266), List(4908, 9006), List(1955, 2629), List(3147, 9144), List(3454, 9072), List(515, 10729), List(4596, 10582), List(9362, 11292), List(3749, 5987), List(1825, 3687), List(303, 10257), List(3319, 9786), List(5616, 10382), List(11259, 11365), List(4404, 10762), List(192, 1566), List(5231, 7538), List(2562, 11500), List(2531, 5771), List(2037, 8646), List(6051, 7277), List(13, 9148), List(130, 4071), List(1909, 2984), List(1038, 10073), List(904, 7629), List(5611, 10388), List(9085, 11549), List(1750, 8589), List(5664, 7016), List(1775, 9585), List(2926, 8929), List(5224, 6717), List(3414, 5485), List(3947, 8200), List(5155, 8078), List(953, 10150), List(2857, 10263), List(4691, 7385), List(2449, 6496), List(575, 10729), List(4995, 10048), List(6390, 9752), List(4681, 11578), List(3196, 10860), List(5, 1716), List(4405, 10182), List(1884, 9878), List(6832, 9316), List(3059, 7364), List(4463, 7154), List(422, 10083), List(326, 3959), List(312, 5781), List(4233, 7631), List(7261, 9429), List(4666, 10896), List(3122, 8817), List(3265, 4207), List(7848, 9374), List(5955, 9393), List(191, 11089), List(2864, 7246), List(7559, 8490), List(2358, 2944), List(3008, 10408), List(587, 8056), List(866, 1055), List(4948, 10178), List(1020, 11321), List(433, 7589), List(5094, 10003), List(7145, 7160), List(51, 10705), List(5930, 10275), List(4712, 6703), List(1859, 8858), List(3497, 9818), List(3063, 7082), List(7586, 8034), List(2386, 11004), List(195, 6670), List(5952, 8721), List(3006, 9931), List(785, 3503), List(2531, 7194), List(2340, 7626), List(406, 11054), List(320, 5618), List(5729, 6205), List(5426, 6396), List(8258, 10534), List(3585, 6605), List(10615, 11181), List(7156, 10328), List(1957, 10490), List(7929, 10251), List(1807, 7513), List(9217, 11556), List(5413, 8039), List(1896, 6050), List(122, 5229), List(5693, 11062), List(963, 6599), List(9261, 11104), List(401, 10279), List(5036, 5056), List(3883, 9049), List(2018, 8864), List(4442, 10733), List(4650, 11436), List(2816, 6400), List(1082, 10613), List(4026, 8576), List(2968, 3007), List(2501, 4295), List(4782, 10774), List(715, 1959), List(1755, 10332), List(1196, 2232), List(1323, 10675), List(2682, 3552), List(5445, 5641), List(8815, 10586), List(4054, 10974), List(322, 4859), List(1626, 10861), List(4608, 5144), List(747, 3345), List(5079, 11145), List(2271, 8155), List(2049, 2858), List(994, 3976), List(1713, 7073), List(1985, 5317), List(2582, 3321), List(6933, 11171), List(3958, 7479), List(1585, 7827), List(491, 2601), List(3457, 3521), List(2514, 4126), List(4910, 8865), List(2412, 3849), List(7470, 8343), List(3227, 9660), List(2757, 11431), List(174, 10249), List(6236, 6520), List(5036, 10667), List(387, 4880), List(6555, 8717), List(6056, 11248), List(4459, 7653), List(5959, 7151), List(4708, 8357), List(1721, 3150), List(1667, 10461), List(7259, 10001), List(3189, 7274), List(2752, 7273), List(5861, 6993), List(1100, 7381), List(6418, 8604), List(3269, 8731), List(1927, 10573), List(9060, 9612), List(3088, 4189), List(5660, 6710), List(4214, 7418), List(6227, 8255), List(1683, 7180), List(5451, 5782), List(1702, 4978), List(4852, 6951), List(6495, 6757), List(2921, 8398), List(3110, 4887), List(6260, 7614), List(618, 10239), List(1614, 5508), List(4105, 9353), List(6495, 10140), List(2104, 11559), List(2921, 5365), List(6250, 10309), List(2234, 10851), List(5407, 8866), List(1259, 1375), List(168, 6246), List(4037, 7906), List(87, 7570), List(945, 9321), List(5967, 6988), List(6937, 10458), List(1289, 2715), List(5676, 10222), List(172, 7119), List(4535, 5904), List(2091, 7540), List(5210, 8702), List(3059, 7177), List(509, 9141), List(3272, 8224), List(500, 11307), List(10154, 10650), List(316, 2330), List(8998, 10962), List(4525, 11228), List(313, 2032), List(1586, 9475), List(712, 6467), List(3384, 6186), List(2921, 4210), List(1057, 9131), List(1986, 9594), List(1182, 1663), List(4352, 11458), List(1668, 7972), List(1513, 11067), List(1769, 2362), List(7961, 10003), List(2853, 6900), List(671, 6062), List(2357, 2532), List(3434, 5899), List(8705, 10686), List(2661, 2943), List(618, 6401), List(3780, 9919), List(2474, 6500), List(719, 6483), List(1659, 10488), List(7920, 10352), List(2958, 6320), List(760, 5703), List(2647, 8121), List(7910, 8883), List(1250, 3086), List(7155, 7287), List(6827, 11363), List(5922, 9042), List(4546, 4884), List(600, 11083), List(2216, 2650), List(409, 8105), List(1001, 5765), List(3791, 9677), List(1774, 4934), List(8957, 10506), List(6810, 9854), List(2222, 7726), List(726, 8347), List(8475, 10358), List(9605, 11077), List(3998, 4089), List(8574, 10337), List(166, 776), List(5305, 10362), List(4770, 6820), List(1100, 1583), List(6917, 10101), List(3316, 3503), List(3711, 10448), List(3214, 3226), List(5139, 8380), List(1930, 8456), List(3898, 10274), List(500, 3281), List(6687, 10578), List(317, 4328), List(2984, 3703), List(6939, 11553), List(2558, 11408), List(2018, 7522), List(2649, 10772), List(4292, 6414), List(1555, 8929), List(22, 623), List(5161, 6045), List(1013, 4970), List(5656, 10188), List(3231, 10346), List(2722, 8025), List(330, 10575), List(6517, 11456), List(1536, 3210), List(7518, 7823), List(4400, 10269), List(3166, 9170), List(4157, 10511), List(1812, 2327), List(581, 11325), List(8451, 11411), List(3747, 5917), List(2322, 7502), List(6231, 8591), List(9407, 10287), List(5711, 10245), List(2988, 3421), List(4672, 4726), List(2058, 9149), List(5602, 8797), List(5423, 7334), List(4609, 10793), List(3404, 8180), List(818, 7481), List(818, 1065), List(3636, 7025), List(895, 3005), List(5915, 10425), List(595, 9129), List(743, 5617), List(1171, 7784), List(6090, 8736), List(6408, 7325), List(1606, 7712), List(5445, 11415), List(10393, 10853), List(3970, 6497), List(3125, 8391), List(6060, 9998), List(5905, 5923), List(5117, 8351), List(4903, 10085), List(2003, 5254), List(903, 5875), List(4478, 7842), List(164, 8919), List(5489, 10559), List(899, 2723), List(1806, 10752), List(1210, 9940), List(5635, 7351), List(564, 9011), List(2949, 9454), List(521, 5931), List(1572, 1661), List(2516, 9572), List(2208, 5255), List(546, 6927), List(1433, 8642), List(363, 1558), List(3043, 6056), List(481, 3499), List(4004, 10938), List(8789, 9446), List(6244, 8748), List(1607, 6728), List(2192, 3217), List(1930, 5691), List(3374, 7509), List(2911, 6287), List(7258, 10231), List(564, 4823), List(5947, 10605), List(7812, 8538), List(2917, 6482), List(5654, 6596), List(9745, 11301), List(3415, 3726), List(1075, 6466), List(990, 10300), List(4732, 10687), List(1052, 4762), List(5871, 8516), List(7612, 11109), List(1012, 5363), List(3599, 8916), List(6092, 7172), List(452, 10624), List(5531, 8825), List(2842, 7247), List(2014, 11000), List(4990, 7720), List(4150, 9958), List(112, 353), List(910, 10721), List(5516, 7012), List(9843, 10304), List(2381, 3065), List(1126, 9033), List(6105, 10790), List(702, 6985), List(1443, 8151), List(2458, 10640), List(3951, 8967), List(3679, 4307), List(5205, 9944), List(5513, 10097), List(878, 6652), List(6197, 9975), List(7030, 10730), List(10087, 11014), List(4545, 10837), List(9558, 10670), List(4761, 4985), List(5869, 7665), List(6496, 7763), List(703, 3803), List(1821, 9423), List(8419, 11336), List(8672, 9530), List(7927, 9376), List(3902, 9051), List(5299, 7670), List(2190, 5698), List(2061, 2844), List(1904, 11528), List(8074, 9022), List(311, 2417), List(745, 8536), List(3549, 10626), List(2336, 8152), List(1713, 8927), List(2427, 8270), List(6542, 6953), List(5606, 9483), List(3028, 8645), List(4798, 10478), List(400, 8474), List(3858, 9102), List(1673, 2331), List(3443, 10580), List(24, 2710), List(1524, 2208), List(4414, 10488), List(2224, 3373), List(6119, 10418), List(3758, 8871), List(1516, 7982), List(10413, 11318), List(1600, 6175), List(949, 9820), List(2230, 9954), List(138, 6380), List(195, 498), List(723, 2869), List(1093, 1648), List(10556, 10845), List(1216, 10349), List(505, 11277), List(541, 10934), List(8375, 11363), List(8349, 10142), List(7516, 9387), List(5233, 8497), List(837, 7320), List(1, 632), List(8013, 10193), List(91, 2777), List(5856, 8853), List(737, 7089), List(936, 10682), List(8004, 9326), List(6996, 10290), List(5631, 9674), List(10574, 11020), List(4688, 11033), List(1517, 7429), List(3849, 4047), List(2166, 4842), List(5132, 5762), List(4373, 6676), List(6685, 8304), List(823, 8711), List(10322, 11149), List(205, 10584), List(6055, 7908), List(606, 4512), List(363, 11170), List(1602, 6197), List(1788, 3169), List(6715, 10398), List(291, 9604), List(4905, 9920), List(8038, 10788), List(2214, 5263), List(845, 7911), List(2333, 5894), List(92, 8613), List(6974, 10285), List(7401, 10352), List(6033, 6055), List(5797, 7468), List(66, 976), List(3020, 10207), List(1655, 10345), List(253, 802), List(812, 8902), List(8535, 11190), List(3461, 6917), List(1369, 3343), List(10183, 11340), List(1675, 6833), List(10959, 11561), List(2739, 6932), List(7775, 9223), List(2316, 7768), List(2484, 9796), List(3380, 7867), List(4283, 9361), List(5110, 5383), List(204, 9554), List(6866, 9762), List(6047, 6461), List(4558, 8253), List(1256, 1722), List(6794, 10825), List(445, 3200), List(1307, 4693), List(6503, 8397), List(1401, 7738), List(62, 9097), List(1001, 11002), List(2434, 9278), List(3050, 11496), List(5758, 6708), List(2821, 11444), List(6157, 10389), List(677, 7680), List(3134, 3273), List(4009, 9889), List(10191, 10426), List(1946, 4801), List(979, 5012), List(2985, 3150), List(1393, 4063), List(3282, 9560), List(6055, 9331), List(2450, 9407), List(1796, 10869), List(1108, 4833), List(6956, 8500), List(7515, 10184), List(6460, 10548), List(6422, 7812), List(3096, 7303), List(8944, 10970), List(205, 8974), List(3279, 9639), List(6795, 10245), List(4273, 4835), List(3212, 7636), List(3301, 4675), List(3397, 4383), List(7836, 7916), List(334, 6536), List(3732, 7113), List(4346, 8504), List(2768, 7595), List(6314, 10322), List(2389, 10982), List(1618, 8853), List(9574, 10211), List(1076, 10556), List(10076, 11361), List(4167, 9670), List(586, 7888), List(2731, 11096), List(200, 3688), List(5158, 10984), List(5621, 5790), List(8226, 10703), List(2466, 2719), List(289, 727), List(5427, 5924), List(7235, 10493), List(5050, 10138), List(687, 773), List(3128, 5255), List(3126, 8592), List(1342, 9335), List(10805, 11362), List(1311, 9268), List(4961, 10820), List(880, 3797), List(1248, 2503), List(998, 1574), List(2180, 2483), List(1216, 7129), List(4069, 5728), List(2214, 6231), List(317, 8760), List(1462, 9787), List(7405, 8056), List(25, 1943), List(6876, 8466), List(1203, 5362), List(4193, 10086), List(1887, 5994), List(202, 10126), List(4094, 7074), List(1255, 8935), List(360, 11466), List(6554, 9354), List(3218, 10409), List(2034, 8673), List(2528, 2792), List(5032, 11006), List(6794, 8060), List(1190, 7005), List(5925, 6150), List(1159, 5440), List(1241, 1308), List(3181, 7494), List(72, 4768), List(3925, 8177), List(1220, 6066), List(7562, 11022), List(7658, 10730), List(5, 6929), List(5421, 10939), List(2298, 10035), List(2205, 3428), List(7473, 8698), List(6444, 11037), List(1683, 11425), List(3959, 10390), List(6215, 8733), List(2540, 3152), List(3790, 8891), List(2355, 3372), List(708, 10994), List(3313, 9491), List(5713, 6802), List(1611, 6072), List(5460, 6356), List(675, 2186), List(6308, 8143), List(1008, 8253), List(1078, 8992), List(8048, 11265), List(2816, 5652), List(1823, 7648), List(696, 6446), List(2263, 7166), List(2251, 5651), List(3749, 9240), List(2904, 11134), List(3007, 8603), List(357, 10363), List(1821, 10204), List(629, 8607), List(6079, 9195), List(408, 6164), List(7037, 10396), List(432, 4306), List(3052, 11005), List(500, 9136), List(2370, 8167), List(4734, 9985), List(3775, 10811), List(3080, 9266), List(3269, 5755), List(6999, 11043), List(3148, 7680), List(1400, 8080), List(8127, 8683), List(7595, 9576), List(3266, 5457), List(7619, 7718), List(145, 1216), List(4591, 5920), List(6562, 11419), List(8730, 9915), List(3938, 10990), List(3666, 6330), List(2565, 10513), List(763, 9896), List(9453, 9721), List(854, 3598), List(1110, 1309), List(2937, 9338), List(2161, 2701), List(5550, 7696), List(4562, 7784), List(1288, 3301), List(2712, 3743), List(10373, 11569), List(2033, 6838), List(9531, 11482), List(7602, 9592), List(7848, 9244), List(3018, 7583), List(52, 1001), List(4668, 7779), List(7211, 11060), List(4940, 6023), List(5439, 6902), List(2254, 8126), List(11044, 11565), List(6894, 9663), List(7397, 11415), List(6482, 8406), List(1850, 6730), List(3443, 7173), List(1106, 9430), List(1039, 8208), List(2761, 6587), List(2568, 6192), List(1317, 7398), List(5388, 6563), List(4202, 8164), List(2583, 7254), List(10373, 10764), List(3553, 3554), List(1130, 10955), List(67, 7294), List(9008, 10902), List(2814, 6598), List(9896, 11364), List(715, 6017), List(10269, 10414), List(2833, 4396), List(5355, 7554), List(6633, 8171), List(1657, 7439), List(602, 7803), List(2356, 4996), List(2703, 8487), List(722, 6407), List(2866, 3755), List(1861, 4236), List(3519, 5074), List(4880, 7446), List(1027, 10426), List(3611, 8046), List(3107, 6069), List(9018, 11216), List(4195, 10726), List(575, 5606), List(2796, 4864), List(1612, 10298), List(917, 8753), List(5833, 6024), List(4786, 11167), List(674, 3333), List(1260, 9092), List(5243, 6158), List(600, 9985), List(8074, 10071), List(939, 3035), List(2033, 8261), List(8196, 11000), List(3428, 3801), List(2748, 10458), List(8758, 10703), List(4866, 6585), List(3988, 9093), List(8563, 9481), List(4366, 5481), List(252, 3236), List(3734, 10674), List(3137, 4002), List(3666, 9981), List(4359, 7693), List(4724, 6128), List(519, 4519), List(3576, 11219), List(656, 7234), List(3920, 4613), List(2268, 7727), List(1423, 9621), List(3537, 4094), List(5849, 9886), List(3100, 8257), List(5061, 8904), List(3386, 8062), List(1688, 7825), List(1230, 6193), List(1574, 6757), List(4160, 4450), List(6276, 9172), List(8695, 10697), List(1603, 5243), List(513, 7306), List(1483, 10022), List(4706, 7400), List(1695, 1799), List(3909, 6302), List(1469, 5428), List(6355, 10404), List(2933, 3017), List(4106, 6846), List(1879, 6989), List(2987, 9669), List(1029, 2123), List(936, 1932), List(4788, 5897), List(8724, 9533), List(808, 6850), List(6472, 7956), List(6969, 8762), List(88, 3528), List(4909, 8109), List(1337, 3407), List(213, 8892), List(6563, 11457), List(2862, 4655), List(2599, 5773), List(3013, 4824), List(2753, 3207), List(7331, 10282), List(2503, 9448), List(1453, 3740), List(5685, 7926), List(702, 5269), List(3382, 9767), List(883, 5280), List(1755, 5209), List(6132, 7864), List(6574, 8963), List(11188, 11531), List(3112, 10845), List(600, 1959), List(3812, 5564), List(4589, 8639), List(7445, 10919), List(2097, 7575), List(5937, 10779), List(3765, 9131), List(1210, 3581), List(1805, 4922), List(2636, 11266), List(5134, 9866), List(63, 11526), List(5290, 9625), List(6501, 9774), List(4634, 8008), List(680, 10182), List(4508, 9589), List(3968, 5703), List(1972, 2591), List(1455, 10178), List(8762, 11090), List(569, 5655), List(5426, 5729), List(7891, 8353), List(6650, 10247), List(955, 2658), List(3876, 5333), List(6328, 7752), List(6018, 9024), List(3057, 9202), List(758, 5527), List(813, 5234), List(130, 1794), List(4854, 5688), List(3437, 5636), List(1775, 7308), List(1472, 7499), List(252, 3854), List(8464, 9339), List(5143, 9174), List(9, 686), List(959, 2026), List(4954, 7023), List(5317, 11047), List(6662, 7224), List(5734, 9615), List(6037, 7172), List(8965, 11018), List(425, 11137), List(678, 2915), List(1149, 4752), List(8277, 10617), List(589, 3597), List(453, 10152), List(19, 7416), List(6338, 10668), List(395, 3731), List(479, 1924), List(4410, 5216), List(7383, 8081), List(2775, 9465), List(9595, 10259), List(2372, 7540), List(1133, 10261), List(1810, 9722), List(534, 8397), List(6876, 6937), List(2022, 11298), List(8061, 11527), List(5946, 6249), List(6202, 10376), List(318, 636), List(2893, 6838), List(801, 3264), List(7492, 8374), List(3041, 7490), List(2490, 9831), List(9118, 11209), List(9355, 10398), List(7993, 10053), List(8610, 8709), List(2142, 5334), List(1788, 4836), List(3725, 7341), List(1350, 11026), List(7084, 11373), List(16, 6313), List(4186, 8867), List(7830, 8719), List(4119, 7645), List(6693, 6829), List(3778, 7352), List(1963, 2366), List(3406, 5494), List(5959, 10217), List(3112, 5047), List(7408, 9026), List(1596, 5016), List(8686, 9643), List(2497, 5683), List(4173, 7881), List(3061, 7711), List(5919, 10818), List(1493, 6766), List(7589, 8283), List(2585, 4749), List(3397, 4627), List(5069, 11587), List(910, 10323), List(4190, 8235), List(10012, 10681), List(614, 2633), List(5130, 6578), List(1186, 9440), List(245, 10872), List(6373, 11146), List(169, 5400), List(24, 9183), List(4162, 9570), List(244, 11401), List(3358, 8055), List(3561, 7660), List(206, 2249), List(5711, 8960), List(5716, 9304), List(1320, 10379), List(6743, 6892), List(2106, 9036), List(2233, 11063), List(446, 955), List(1999, 10667), List(3587, 5848), List(2186, 4077), List(5279, 6270), List(5855, 11341), List(7826, 10424), List(466, 5744), List(2193, 4467), List(8750, 10543), List(3717, 8523), List(7785, 8171), List(2305, 4708), List(1028, 4693), List(3646, 9811), List(594, 1957), List(2997, 9365), List(1151, 9230), List(2054, 4308), List(7840, 11261), List(3234, 8554), List(1124, 10790), List(739, 3809), List(4947, 9853), List(7001, 10691), List(1495, 6007), List(717, 9877), List(6653, 9227), List(1887, 9271), List(6348, 8591), List(2917, 10540), List(5816, 8730), List(7094, 10101), List(21, 4697), List(1757, 6946), List(10721, 11504), List(1765, 10971), List(8391, 9270), List(4067, 5495), List(1176, 10576), List(5844, 7745), List(4378, 7077), List(4054, 10925), List(2288, 9965), List(4796, 8529), List(2650, 8102), List(7006, 9880), List(5240, 8920), List(3898, 10762), List(254, 330), List(586, 9205), List(586, 2789), List(4491, 11276), List(5329, 8211), List(6502, 11286), List(5972, 8088), List(4265, 9243), List(1658, 9919), List(1307, 8938), List(1178, 6084), List(2241, 9745), List(3564, 3719), List(5750, 6928), List(3162, 9566), List(741, 798), List(548, 6819), List(6057, 11020), List(950, 4355), List(1103, 1187), List(421, 4765), List(6773, 10409), List(667, 1788), List(768, 8256), List(42, 8152), List(8817, 10559), List(986, 3231), List(4898, 8001), List(10625, 11341), List(2249, 6199), List(6763, 9317), List(3339, 8273), List(2494, 10167), List(2148, 3114), List(4357, 7273), List(2774, 6020), List(4798, 11153), List(2766, 5378), List(3634, 7817), List(6427, 11246), List(2282, 7436), List(5238, 6914), List(477, 7302), List(6650, 11483), List(1612, 9119), List(4752, 10404), List(74, 6131), List(9315, 10031), List(6744, 10364), List(1348, 3596), List(4281, 7786), List(1103, 3765), List(480, 4540), List(6849, 7155), List(6162, 10389), List(3274, 8571), List(6075, 11144), List(4080, 10886), List(4197, 5055), List(2829, 4922), List(1484, 6466), List(1262, 7585), List(5317, 6217), List(2540, 8202), List(148, 10752), List(2440, 11004), List(3909, 11189), List(1392, 6877), List(1638, 3900), List(1114, 10316), List(2686, 4994), List(2128, 6164), List(4607, 6242), List(6200, 8937), List(3591, 6534), List(2588, 7842), List(1528, 7862), List(1433, 4592), List(4681, 7854), List(1715, 7688), List(6758, 10396), List(1807, 4244), List(6201, 8758), List(848, 11486), List(4663, 6524), List(5845, 7433), List(5007, 6334), List(5041, 11580), List(442, 4382), List(11147, 11533), List(1465, 3726), List(7086, 8922), List(1847, 3269), List(4369, 6427), List(210, 5163), List(3721, 4671), List(2934, 10707), List(599, 7375), List(1390, 8628), List(2715, 4927), List(4922, 6761), List(8134, 10366), List(2007, 7284), List(2134, 9311), List(3249, 8998), List(2652, 4578), List(3834, 5487), List(3023, 6211), List(3995, 4092), List(3958, 4210), List(1217, 6606), List(1929, 10784), List(1924, 4024), List(2827, 6272), List(681, 11507), List(3983, 5960), List(6930, 7604), List(243, 9783), List(1456, 5841), List(3546, 8588), List(4231, 6439), List(6316, 9596), List(2791, 10375), List(4658, 5725), List(3625, 9820), List(1856, 10097), List(767, 5215), List(3150, 4831), List(907, 10887), List(4673, 5252), List(287, 4763), List(543, 2474), List(3647, 9020), List(8134, 9561), List(696, 3470), List(5352, 5540), List(3958, 6438), List(1288, 7546), List(2598, 6920), List(4016, 4164), List(8274, 8817), List(1625, 9568), List(1150, 10241), List(4147, 6310), List(3758, 9009), List(4194, 9539), List(899, 4179), List(892, 3008), List(5711, 6008), List(4134, 7953), List(4062, 6387), List(6020, 7517), List(2852, 9846), List(1416, 1473), List(3662, 8897), List(1543, 10293), List(2746, 5663), List(865, 7197), List(2162, 6366), List(1032, 11282), List(5056, 8349), List(2346, 5140), List(10341, 10590), List(3558, 8143), List(10208, 11000), List(2429, 10278), List(2396, 8640), List(2965, 11012), List(3987, 7502), List(2048, 11340), List(3331, 5885), List(7493, 11584), List(4535, 4863), List(1957, 8189), List(868, 3307), List(171, 1689), List(8646, 10220), List(7402, 8433), List(3099, 5535), List(9050, 10835), List(6281, 11183), List(88, 9733), List(3156, 9452), List(6425, 7929), List(8288, 11451), List(4934, 8894), List(7606, 8613), List(2274, 5802), List(2377, 7435), List(7640, 8197), List(2874, 7487), List(4090, 7980), List(1972, 9601), List(2094, 10530), List(1657, 4113), List(2708, 5505), List(2240, 3939), List(5225, 8319), List(8592, 9583), List(2563, 2872), List(1250, 9616), List(9937, 11422), List(10081, 10420), List(1241, 5366), List(905, 5417), List(2866, 10228), List(6104, 8638), List(5378, 8534), List(10116, 10606), List(4579, 10773), List(873, 6633), List(8648, 9111), List(6251, 11317), List(6060, 8339), List(2484, 6901), List(3607, 10613), List(4570, 9906), List(50, 9225), List(2631, 3164), List(2104, 10063), List(573, 9000), List(5580, 5635), List(2132, 9078), List(1791, 2369), List(4524, 9911), List(3270, 3272), List(7889, 10348), List(4334, 9787), List(777, 8399), List(125, 4272), List(4924, 10003), List(1686, 5177), List(4234, 9556), List(1746, 5228), List(3482, 7477), List(6433, 6611), List(649, 10284), List(1480, 3796), List(7235, 11436), List(2223, 8041), List(2854, 11291), List(8139, 9368), List(4588, 6297), List(3062, 5578), List(2316, 7451), List(669, 1487), List(3618, 6210), List(983, 9756), List(1811, 6003), List(6914, 8762), List(8319, 11406), List(50, 5387), List(8511, 11576), List(7631, 8753), List(4573, 11250), List(1624, 6527), List(5734, 11282), List(1364, 4910), List(1718, 9572), List(2831, 8432), List(6654, 7495), List(3118, 5456), List(6447, 10400), List(7658, 9795), List(10108, 11387), List(6071, 11052), List(2298, 9100), List(8337, 10083), List(9636, 11577), List(9801, 9924), List(2201, 11419), List(6807, 7710), List(3782, 10347), List(1631, 3160), List(9758, 10227), List(3870, 9413), List(1511, 1523), List(1473, 5203), List(1256, 6666), List(2656, 8966), List(2863, 10198), List(1631, 3510), List(4575, 7889), List(3274, 4814), List(6911, 7659), List(6477, 11339), List(1434, 5625), List(2430, 3900), List(1466, 10798), List(4924, 5010), List(531, 9766), List(4540, 8053), List(3645, 4168), List(7812, 9457), List(2583, 8279), List(5852, 6002), List(965, 9469), List(394, 10434), List(34, 5927), List(2173, 2931), List(2415, 9634), List(3134, 8567), List(1546, 6970), List(2265, 5903), List(4852, 9456), List(1705, 11164), List(1483, 1703), List(736, 4886), List(5586, 9451), List(3938, 7022), List(5669, 8173), List(253, 753), List(1568, 11051), List(2559, 8228), List(2528, 6663), List(3297, 5713), List(1500, 3188), List(2530, 6709), List(940, 4285), List(4484, 10349), List(3266, 3367), List(3601, 9507), List(738, 6810), List(2044, 3059), List(2680, 6653), List(4946, 5684), List(3912, 7679), List(7026, 7743), List(703, 7755), List(7812, 8652), List(3392, 9333), List(5726, 8276), List(2894, 4892), List(4902, 5385), List(2641, 4446), List(1895, 6319), List(4756, 8943), List(5706, 10283), List(3727, 9030), List(2638, 4148), List(303, 7232), List(6622, 10484), List(2223, 5626), List(4900, 5689), List(2035, 5575), List(1197, 4476), List(8817, 10803), List(665, 5369), List(670, 5713), List(7979, 9704), List(2476, 8701), List(7729, 8775), List(167, 6590), List(5308, 6423), List(7133, 7963), List(6639, 10838), List(2441, 3984), List(4182, 6577), List(2181, 8783), List(1694, 2249), List(4339, 9944), List(4520, 5818), List(3186, 7521), List(1906, 3825), List(3139, 6951), List(1533, 10410), List(3450, 11539), List(1345, 11113), List(2897, 4385), List(10132, 10147), List(2324, 4523), List(128, 11149), List(8399, 11579), List(4696, 11120), List(1200, 7756), List(3857, 9796), List(8735, 10747), List(5743, 9360), List(4524, 8569), List(6296, 6311), List(1361, 5580), List(3498, 8173), List(6051, 6480), List(550, 6304), List(851, 3034), List(5238, 10541), List(3964, 10797), List(853, 7244), List(5175, 10192), List(5462, 9468), List(1680, 3266), List(1528, 5878), List(972, 7875), List(2486, 5581), List(1310, 1454), List(1246, 10329), List(8180, 8781), List(492, 8177), List(965, 3671), List(4420, 4782), List(994, 2911), List(1458, 7741), List(6186, 9125), List(4627, 7512), List(1055, 3564), List(5628, 10295), List(681, 879), List(7365, 8982), List(3745, 3862), List(5892, 7897), List(6991, 7051), List(2249, 10899), List(2450, 8903), List(6176, 10285), List(2788, 8898), List(2750, 6162), List(4763, 6999), List(1621, 8297), List(352, 8897), List(3273, 11572), List(1895, 6587), List(5689, 7164), List(336, 3476), List(3739, 4397), List(1591, 9559), List(58, 6915), List(1625, 8389), List(3571, 8004), List(4598, 4838), List(7278, 9336), List(8962, 11395), List(4884, 8807), List(3597, 3940), List(1175, 7779), List(397, 7485), List(1608, 6880), List(8354, 9445), List(3306, 6393), List(42, 2598), List(3775, 11567), List(4551, 11034), List(7, 3543), List(6427, 6847), List(6446, 11061), List(4106, 8139), List(10212, 10344), List(253, 10365), List(1717, 10206), List(3644, 9017), List(874, 6511), List(4019, 8894), List(867, 5340), List(6095, 7047), List(8612, 9861), List(4916, 10573), List(2705, 11249), List(3520, 4228), List(3076, 7220), List(1861, 10335), List(1491, 4386), List(3722, 4362), List(5695, 6524), List(5244, 8345), List(1086, 9935), List(2812, 11496), List(8021, 8989), List(6796, 11416), List(6524, 6756), List(1601, 9068), List(362, 7625), List(1759, 10408), List(5515, 9747), List(1256, 11285), List(1535, 4284), List(3904, 6446), List(10001, 10817), List(2066, 3920), List(4335, 5851), List(3177, 9500), List(2585, 5424), List(11169, 11269), List(3795, 5348), List(1450, 7744), List(2551, 3561), List(8710, 8810), List(1332, 2770), List(5936, 8814), List(1077, 2251), List(4963, 11462), List(2697, 6769), List(665, 7410), List(5234, 10235), List(1593, 10654), List(2255, 9053), List(2692, 9808), List(3433, 6056), List(2158, 2704), List(3866, 9321), List(2529, 5091), List(593, 7692), List(438, 4371), List(5453, 11447), List(4617, 4759), List(2993, 3505), List(7378, 10185), List(7622, 10545), List(4726, 11118), List(1237, 2509), List(495, 1872), List(4605, 6627), List(4567, 10307), List(4192, 4768), List(3939, 4322), List(2617, 7540), List(1727, 5527), List(9636, 11203), List(4438, 5174), List(6318, 10555), List(1078, 4300), List(1766, 8838), List(4305, 8967), List(4129, 10431), List(3651, 7423), List(1688, 6703), List(5891, 7485), List(5612, 8070), List(3831, 6078), List(881, 4136), List(872, 6302), List(9779, 11080), List(1713, 4666), List(9185, 10341), List(1678, 7863), List(2425, 3182), List(4518, 9610), List(5700, 11273), List(5284, 9143), List(4637, 5360), List(2460, 5620), List(1080, 10388), List(5342, 6115), List(486, 9649), List(6277, 6366), List(1934, 2541), List(1179, 1699), List(2913, 9537), List(4351, 8157), List(6612, 6844), List(5560, 10889), List(8741, 8765), List(6894, 9159), List(4215, 6017), List(2565, 2788), List(5622, 9488), List(6401, 8472), List(3275, 11057), List(5305, 7337), List(3275, 4641), List(5277, 5289), List(7068, 7245), List(2654, 11124), List(7850, 10664), List(2962, 9779), List(7098, 9339), List(7230, 8704), List(6571, 9822), List(4804, 6008), List(1774, 4137), List(991, 6909), List(6758, 9648), List(6316, 9303), List(8217, 9145), List(3085, 10529), List(1297, 8120), List(298, 9547), List(3978, 8302), List(1726, 7479), List(9009, 10249), List(184, 2063), List(246, 2941), List(5461, 6695), List(2288, 8680), List(3506, 9246), List(4432, 6028), List(6866, 9339), List(6654, 8894), List(207, 6396), List(1138, 3522), List(2163, 6699), List(4434, 6074), List(6646, 8252), List(3629, 10750), List(565, 1381), List(4246, 10160), List(1340, 3629), List(3927, 11346), List(3619, 7029), List(2896, 10606), List(6905, 8139), List(3307, 5222), List(5516, 10135), List(214, 3029), List(1062, 4816), List(1686, 7649), List(1180, 9009), List(2553, 7234), List(3456, 8728), List(1095, 10591), List(1021, 1782), List(3785, 10889), List(423, 10723), List(5008, 5383), List(5911, 7631), List(1140, 2413), List(4501, 9524), List(6992, 11117), List(5588, 7163), List(8461, 11302), List(5063, 9227), List(3070, 11294), List(142, 1032), List(2604, 3385), List(3913, 6321), List(489, 4523), List(3758, 9416), List(5750, 9376), List(4215, 10823), List(227, 581), List(2069, 9642), List(9100, 11410), List(1805, 11289), List(1512, 8004), List(4148, 5814), List(4552, 6429), List(2745, 9632), List(5286, 6424), List(6717, 8037), List(4602, 9175), List(873, 1079), List(5351, 7950), List(7962, 10399), List(7277, 9542), List(6031, 11092), List(5647, 7719), List(84, 8917), List(5249, 6892), List(5240, 9058), List(4840, 11568), List(3499, 9848), List(6166, 9223), List(5460, 8243), List(5295, 6486), List(10902, 11222), List(3495, 6696), List(2805, 5495), List(35, 2989), List(1688, 9899), List(6266, 9804), List(3248, 9448), List(3828, 5593), List(2867, 3340), List(3328, 4489), List(9396, 10374), List(10614, 10940), List(5010, 9885), List(1806, 10305), List(4975, 10830), List(1363, 9735), List(3751, 10449), List(9358, 11021), List(1118, 9904), List(179, 2337), List(7744, 8203), List(2634, 3519), List(7369, 8326), List(3914, 11379), List(5839, 10117), List(1768, 10952), List(774, 10094), List(2544, 11173), List(9053, 10385), List(4837, 7863), List(663, 1403), List(6404, 9337), List(7574, 8731), List(3883, 9033), List(4346, 4593), List(478, 5787), List(2439, 6434), List(2592, 6676), List(10718, 10889), List(5434, 9250), List(2041, 3355), List(1230, 10495), List(6431, 10379), List(3279, 10989), List(4958, 6288), List(1277, 3144), List(1349, 5464), List(7281, 11488), List(3674, 4321), List(1924, 10310), List(964, 1866), List(4234, 9613), List(2333, 2601), List(2047, 6179), List(7561, 10724), List(741, 3514), List(3726, 7894), List(7217, 10914), List(7585, 8866), List(7751, 10067), List(4219, 4794), List(9480, 11145), List(1326, 9802), List(5529, 10584), List(1645, 11245), List(9078, 11330), List(1852, 2678), List(11, 2887), List(9163, 10879), List(2993, 6969), List(5953, 6566), List(1340, 9858), List(75, 7194), List(6324, 8953), List(1002, 6830), List(5795, 9363), List(10055, 10679), List(1841, 4367), List(3983, 8058), List(347, 8067), List(5877, 10893), List(7838, 11540), List(5321, 7228), List(4481, 5302), List(966, 1888), List(1499, 4603), List(7378, 7583), List(2077, 10501), List(5418, 9790), List(613, 6496), List(5910, 10252), List(4905, 10733), List(5818, 10663), List(6276, 11514), List(2346, 4660), List(5589, 8332), List(1069, 6897), List(4534, 8696), List(1845, 7118), List(4530, 5544), List(2040, 10969), List(729, 7960), List(7198, 7773), List(2678, 4840), List(1227, 5204), List(2490, 11205), List(5418, 8635), List(1501, 7658), List(4795, 6377), List(6135, 10878), List(8740, 9375), List(6506, 6849), List(5604, 8209), List(2392, 4604), List(4355, 6078), List(5005, 7126), List(3327, 9019), List(9082, 9489), List(4352, 5026), List(5217, 8702), List(2572, 6642), List(6615, 10175), List(519, 6406), List(1577, 5559), List(1270, 10512), List(4157, 5689), List(2040, 10164), List(1937, 2869), List(3112, 6771), List(4450, 8193), List(847, 4932), List(7777, 9304), List(1687, 5323), List(1146, 8382), List(2517, 5780), List(8903, 10254), List(1214, 6796), List(555, 744), List(2604, 7654), List(5102, 6254), List(4842, 11053), List(3486, 9025), List(4692, 8076), List(2006, 10179), List(1209, 9081), List(2594, 3933), List(9701, 11173), List(5398, 6023), List(8209, 9284), List(8727, 10967), List(1387, 7663), List(8078, 10521), List(3317, 10155), List(7854, 10813), List(6147, 7050), List(1355, 5873), List(112, 6940), List(10814, 11164), List(6511, 8266), List(2558, 11042), List(6613, 9674), List(684, 8859), List(4832, 9934), List(6, 2757), List(2560, 11088), List(3675, 10775), List(1842, 8593), List(2931, 6305), List(493, 2094), List(255, 3434), List(685, 8680), List(2240, 6387), List(5040, 10987), List(1169, 2084), List(1175, 3030), List(5404, 5787), List(6826, 9566), List(138, 3973), List(3348, 10915), List(9564, 11036), List(2678, 5458), List(5797, 5866), List(4406, 7035), List(8683, 10240), List(8184, 8607), List(4868, 8786), List(7284, 10794), List(6262, 7888), List(4706, 10710), List(3180, 9991), List(380, 3856), List(2398, 9201), List(2960, 11156), List(94, 1772), List(961, 3609), List(3041, 3416), List(2242, 8661), List(3480, 9879), List(429, 7131), List(8978, 9757), List(5554, 7959), List(2562, 6572), List(3444, 7189), List(8445, 9671), List(7760, 9568), List(7, 10821), List(1279, 1824), List(2694, 11572), List(8793, 10354), List(1978, 3488), List(7107, 8222), List(694, 8718), List(6822, 8238), List(5079, 8982), List(1459, 3862), List(1405, 7009), List(2654, 2724), List(3242, 3648), List(654, 2122), List(1499, 10027), List(1083, 7897), List(184, 9528), List(6242, 7555), List(10168, 10503), List(767, 2938), List(574, 8959), List(54, 7203), List(921, 6788), List(2134, 2846), List(4374, 7072), List(141, 9077), List(1514, 7302), List(7665, 8526), List(6889, 9059), List(1697, 9638), List(637, 3996), List(2903, 5279), List(1158, 2944), List(3377, 8545), List(600, 10530), List(4335, 9746), List(6983, 9071), List(8994, 9081), List(5009, 9690), List(2371, 2385), List(8440, 11124), List(3433, 8073), List(5164, 9978), List(369, 5120), List(1334, 7492), List(10234, 11099), List(6593, 11518), List(2080, 4838), List(4784, 7478), List(5589, 6185), List(1762, 9632), List(2985, 10542), List(1206, 5213), List(1920, 4556), List(6341, 10893), List(1771, 10849), List(3872, 11533), List(9412, 10883), List(6468, 6504), List(6734, 10595), List(3396, 8571), List(5391, 8048), List(4110, 10543), List(443, 5577), List(5603, 9624), List(4147, 9644), List(3206, 5414), List(100, 8621), List(2116, 6723), List(784, 9253), List(91, 4371), List(5815, 10446), List(3141, 9900), List(1252, 5157), List(5565, 10271), List(2834, 6185), List(5475, 7345), List(361, 2919), List(3886, 5523), List(3719, 6349), List(484, 1040), List(3763, 6621), List(3622, 6416), List(3888, 4815), List(6591, 11017), List(204, 8570), List(6554, 11135), List(8823, 9683), List(664, 9494), List(425, 810), List(855, 6810), List(846, 8976), List(630, 1215), List(1280, 2263), List(5354, 7361), List(4641, 9374), List(1121, 1452), List(4419, 4831), List(7130, 10140), List(3305, 7998), List(3243, 7120), List(282, 7298), List(2424, 3819), List(6723, 11479), List(2184, 10748), List(1341, 9305), List(1642, 10199), List(5253, 7659), List(2827, 4963), List(1057, 6513), List(1300, 4019), List(7779, 10936), List(8550, 10813), List(1265, 7216), List(7868, 10227), List(6953, 7218), List(6354, 9518), List(9158, 10854), List(1281, 8099), List(4082, 9918), List(2129, 3470), List(1659, 10903), List(6733, 9514), List(4675, 11186), List(480, 10265), List(3548, 9984), List(3493, 3861), List(4176, 9553), List(781, 6995), List(571, 3213), List(2584, 4050), List(743, 4259), List(595, 1355), List(3864, 5494), List(491, 6667), List(59, 594), List(3978, 5781), List(9081, 9294), List(1330, 4204), List(1799, 10132), List(3356, 10164), List(672, 2514), List(1210, 3321), List(2488, 10354), List(2256, 4369), List(7369, 8570), List(4222, 6114), List(1051, 2510), List(829, 3629), List(2324, 9199), List(7298, 9858), List(4354, 5479), List(6052, 11408), List(6150, 8533), List(2104, 10364), List(9065, 10639), List(1479, 1644), List(3130, 7727), List(7892, 10947), List(3341, 8701), List(2090, 9153), List(1185, 6832), List(3050, 5519), List(4827, 10021), List(2535, 3353), List(2676, 2834), List(3298, 8250), List(3396, 9539), List(9550, 10280), List(3419, 9708), List(5473, 11300), List(6694, 11383), List(3764, 4458), List(2764, 5283), List(9926, 9978), List(8576, 10424), List(5162, 9314), List(634, 2356), List(9515, 11575), List(1878, 7526), List(3179, 3431), List(4097, 6711), List(8603, 11466), List(4988, 10854), List(286, 2023), List(5949, 10074), List(1395, 6776), List(10049, 11108), List(5733, 11358), List(3041, 3847), List(184, 10764), List(6751, 11112), List(934, 2594), List(4380, 8123), List(1789, 7080), List(1288, 3122), List(2910, 10719), List(2077, 7712), List(4998, 10387), List(4776, 11506), List(2842, 2856), List(672, 4287), List(197, 4960), List(1785, 7311), List(4747, 9987), List(3587, 6393), List(3346, 8216), List(570, 977), List(3864, 6112), List(1006, 3759), List(7635, 11401), List(999, 6752), List(1090, 8368), List(651, 5288), List(2213, 5664), List(1330, 4822), List(7002, 10707), List(3229, 8755), List(8872, 9738), List(5596, 10844), List(4595, 5809), List(7755, 9224), List(300, 7690), List(3286, 8508), List(177, 6536), List(8642, 10215), List(120, 6002), List(4812, 7729), List(3819, 8971), List(1587, 9524), List(3998, 4772), List(5551, 8068), List(1798, 7492), List(4279, 10649), List(7727, 9835), List(5748, 8582), List(894, 8025), List(450, 11017), List(2697, 5834), List(1950, 10515), List(4863, 6913), List(5238, 6036), List(5243, 7134), List(5079, 5225), List(2155, 10920), List(5364, 8592), List(5455, 7956), List(3082, 4140), List(6519, 10307), List(9587, 10780), List(1027, 10247), List(6004, 8171), List(2611, 5686), List(3211, 10377), List(2141, 9709), List(1494, 5926), List(9393, 10914), List(5222, 8135), List(7128, 8321), List(6400, 11554), List(1018, 9380), List(4421, 10301), List(2580, 9756), List(3299, 9443), List(4477, 6446), List(1798, 3304), List(3417, 4968), List(6345, 8814), List(8704, 10288), List(3532, 4726), List(4342, 10193), List(7334, 9328), List(5804, 6955), List(1661, 6224), List(1912, 3591), List(3226, 11035), List(9974, 10263), List(8391, 9010), List(1567, 10726), List(1409, 2970), List(2289, 9176), List(6, 6034), List(391, 6599), List(2182, 8555), List(7765, 8733), List(7049, 9317), List(1228, 9725), List(1120, 6250), List(636, 9813), List(7718, 8917), List(1690, 11476), List(3519, 4090), List(509, 7759), List(3515, 6600), List(223, 4921), List(3449, 8232), List(11513, 11567), List(4605, 7920), List(1649, 2026), List(1702, 5824), List(4852, 7797), List(528, 8940), List(3317, 9244), List(3907, 6831), List(4044, 6540), List(489, 1815), List(308, 10105), List(2321, 4526), List(428, 2293), List(2819, 8186), List(927, 8807), List(1283, 10162), List(2461, 7165), List(1280, 9110), List(4329, 8752), List(1440, 4080), List(631, 1467), List(3616, 6601), List(4357, 7013), List(2671, 4881), List(2366, 10661), List(5320, 9312), List(338, 1595), List(6523, 8065), List(7529, 11192), List(733, 7786), List(3193, 10066), List(7523, 10623), List(6613, 7958), List(641, 2535), List(3753, 8188), List(2822, 11062), List(5711, 9318), List(8388, 9381), List(2060, 2633), List(845, 5748), List(5053, 6874), List(8010, 9960), List(9873, 11230), List(2688, 5585), List(1098, 3161), List(1688, 4158), List(3241, 8952), List(94, 4244), List(5598, 7347), List(9061, 9073), List(4388, 5144), List(3331, 8845), List(4547, 9338), List(2926, 4595), List(1548, 6780), List(1109, 9362), List(5107, 7460), List(243, 11133), List(3632, 8958), List(1791, 2751), List(6369, 9826), List(9132, 9663), List(7829, 9925), List(3407, 9779), List(3874, 6212), List(1778, 5148), List(4680, 7773), List(7536, 10053), List(2247, 3906), List(3804, 3938), List(6601, 9021), List(4839, 5551), List(8092, 10685), List(2032, 9579), List(4102, 4534), List(7097, 9602), List(1842, 9455), List(10807, 11205), List(3505, 9913), List(361, 3968), List(2836, 7280), List(205, 3428), List(4635, 7599), List(2911, 8393), List(7611, 7729), List(5832, 8816), List(4849, 5084), List(2347, 9748), List(795, 1392), List(1789, 8666), List(5682, 9222), List(784, 2731), List(7421, 10988), List(6394, 7738), List(7607, 7960), List(1371, 3430), List(6, 2814), List(1031, 5991), List(2703, 10699), List(8685, 11148), List(1873, 7963), List(8497, 11097), List(6976, 10722), List(4262, 10777), List(5566, 6953), List(2489, 9400), List(1856, 9487), List(6529, 7000), List(6561, 11419), List(3691, 10961), List(4663, 8842), List(1707, 9364), List(492, 6063), List(5750, 6481), List(5194, 8478), List(1667, 9965), List(6675, 9454), List(21, 9861), List(6991, 7970), List(4584, 8734), List(831, 8912), List(2471, 4283), List(5344, 8422), List(10786, 11401), List(6829, 6888), List(7637, 11528), List(1128, 1736), List(7819, 11010), List(3585, 4499), List(1382, 2784), List(1437, 9661), List(2022, 3898), List(572, 700), List(2549, 6044), List(2120, 10068), List(4324, 8221), List(2421, 6798), List(688, 8230), List(5972, 9869), List(4914, 11470), List(6593, 6769), List(7193, 8454), List(3511, 8118), List(90, 10755), List(7430, 7643), List(5188, 6754), List(520, 3923), List(3131, 5618), List(2785, 4981), List(1981, 6876), List(458, 5674), List(5119, 8088), List(5558, 8889), List(174, 9298), List(7354, 11189), List(6917, 8182), List(6423, 7647), List(8482, 8829), List(3088, 9304), List(199, 4632), List(3647, 10988), List(1100, 9463), List(6516, 11221), List(2187, 7102), List(1965, 8975), List(2987, 5465), List(6639, 9342), List(7227, 9512), List(8839, 10005), List(66, 2009), List(7213, 11334), List(3240, 9294), List(438, 834), List(1479, 7954), List(51, 3606), List(23, 8728), List(7553, 11375), List(1524, 4664), List(9631, 10355), List(1728, 8631), List(1328, 4725), List(4368, 8812), List(1126, 6496), List(3092, 5235), List(845, 4756), List(5540, 6000), List(5269, 11364), List(1289, 11563), List(2935, 10886), List(411, 4649), List(4204, 8007), List(1437, 11434), List(5042, 9106), List(10484, 11331), List(28, 4884), List(8463, 9852), List(3847, 6457), List(6186, 10662), List(8832, 11412), List(2475, 5424), List(1423, 10223), List(6275, 9199), List(5685, 5950), List(6767, 9661), List(232, 11480), List(5846, 6807), List(2006, 3633), List(760, 7435), List(6837, 8902), List(3729, 11282), List(1639, 2119), List(2079, 8807), List(1360, 2704), List(4753, 9353), List(276, 4582), List(6678, 9589), List(5551, 6889), List(10378, 10504), List(1164, 2011), List(66, 6465), List(5697, 9343), List(1939, 9177), List(3331, 6698), List(8100, 11089), List(1804, 8760), List(5663, 9732), List(4737, 10698), List(1779, 10393), List(377, 5014), List(6199, 7460), List(7376, 8025), List(2014, 6503), List(2358, 7067), List(6349, 8158), List(6780, 9842), List(3043, 4137), List(6248, 6571), List(18, 358), List(10789, 11512), List(2312, 6318), List(9037, 10258), List(1468, 5404), List(5327, 6376), List(7484, 11099), List(10096, 10767), List(3957, 6170), List(9898, 10028), List(3, 1174), List(4648, 9471), List(5804, 9159), List(5732, 7593), List(6707, 11407), List(7070, 9015), List(938, 5589), List(3051, 3624), List(4585, 9122), List(1156, 6980), List(5483, 10272), List(8814, 8873), List(2615, 10641), List(6357, 11028), List(1405, 7684), List(937, 6118), List(7414, 9956), List(2092, 7833), List(2359, 5733), List(5819, 7188), List(9521, 10428), List(3889, 11489), List(4255, 8614), List(2761, 6652), List(390, 7827), List(8048, 9720), List(1446, 9563), List(4589, 4703), List(580, 754), List(7331, 10079), List(763, 9506), List(880, 10091), List(3813, 8619), List(3154, 7485), List(1591, 9136), List(3776, 6485), List(6924, 8385), List(1589, 6057), List(1496, 10030), List(2528, 7208), List(8684, 8776), List(1621, 8224), List(1404, 10441), List(695, 5026), List(5597, 10535), List(5754, 7486), List(1210, 6411), List(1903, 10539), List(1533, 5344), List(2431, 6494), List(1032, 7802), List(60, 7669), List(2228, 6165), List(4416, 9447), List(6284, 7651), List(2571, 5750), List(10265, 10306), List(3381, 11217), List(1260, 2741), List(3223, 4215), List(1144, 5010), List(6030, 9986), List(2503, 11473), List(8353, 9551), List(772, 3152), List(77, 8023), List(3545, 10093), List(4375, 6413), List(5861, 7733), List(2977, 10575), List(864, 6124), List(1095, 1361), List(3037, 8374), List(4406, 4945), List(10182, 11210), List(6825, 10634), List(5486, 5577), List(6050, 7605), List(2433, 6166), List(287, 5739), List(1684, 8522), List(217, 10635), List(348, 730), List(7290, 9623), List(843, 7125), List(6787, 8248), List(1649, 8686), List(1496, 6192), List(4732, 10191), List(3674, 4622), List(3109, 9539), List(3945, 9811), List(125, 8013), List(4569, 5474), List(3566, 6782), List(6628, 6656), List(7331, 11502), List(511, 4292), List(1918, 7763), List(5056, 8975), List(5584, 11346), List(4433, 9750), List(9565, 10995), List(6803, 8350), List(1858, 6177), List(2500, 3200), List(667, 8188), List(7415, 7416), List(166, 9892), List(6394, 7364), List(1846, 8045), List(8780, 10661), List(3064, 9365), List(320, 910), List(1034, 6669), List(4172, 7127), List(1677, 6546), List(2578, 11377), List(5642, 8668), List(3390, 7091), List(1844, 8349), List(3015, 4935), List(2643, 9493), List(5475, 7215), List(5000, 7888), List(2613, 10782), List(1354, 1547), List(2322, 9852), List(232, 689), List(6186, 9670), List(799, 6398), List(7488, 10681), List(4713, 7831), List(1299, 6721), List(979, 5053), List(7548, 9234), List(7582, 8064), List(6763, 11179), List(3497, 10721), List(2385, 11305), List(1604, 4324), List(1941, 7127), List(8878, 9260), List(297, 7850), List(5928, 11482), List(2088, 4144), List(2585, 4196), List(2867, 7292), List(2862, 6948), List(3832, 10418), List(1194, 3113), List(2907, 10074), List(6883, 10133), List(1344, 9473), List(3944, 7626), List(8868, 8922), List(24, 2214), List(994, 5684), List(2797, 9155), List(5161, 10973), List(87, 284), List(86, 6475), List(8587, 9811), List(2888, 5486), List(5374, 8987), List(3877, 6754), List(4659, 10173), List(7544, 10939), List(261, 1753), List(3459, 7180), List(2437, 4274), List(1695, 10053), List(1781, 9073), List(291, 3847), List(17, 11192), List(6612, 7926), List(1851, 7560), List(9817, 10360), List(1221, 7164), List(8077, 10621), List(1666, 7780), List(5520, 9162), List(4835, 8305), List(413, 8159), List(6323, 7042), List(6101, 8161), List(10748, 10869), List(2680, 10044), List(8380, 11561), List(1307, 6157), List(5727, 9640), List(5073, 11102), List(5321, 8952), List(3674, 5240), List(147, 311), List(7433, 9014), List(6373, 9788), List(6718, 10200), List(395, 10212), List(6863, 7171), List(155, 9971), List(49, 3159), List(1980, 11511), List(2353, 7555), List(2626, 2991), List(907, 8293), List(2283, 6035), List(8630, 11335), List(7800, 7845), List(383, 2631), List(2442, 3813), List(1473, 10367), List(74, 10921), List(2992, 7663), List(2770, 8782), List(1717, 6563), List(8155, 11227), List(7167, 11315), List(5973, 8891), List(5601, 7033), List(869, 8159), List(5233, 7546), List(7807, 10894), List(5035, 7561), List(7058, 9086), List(1213, 9100), List(6433, 6782), List(9457, 11090), List(5185, 7505), List(8263, 8666), List(2917, 6149), List(3575, 7058), List(710, 1282), List(8860, 10053), List(7799, 10602), List(5854, 9707), List(5668, 10483), List(5086, 7095), List(3212, 11328), List(623, 4696), List(5724, 7382), List(3791, 8002), List(3770, 7125), List(3307, 5149), List(3214, 9122), List(9745, 9813), List(7914, 10710), List(1216, 8593), List(3294, 10579), List(780, 5030), List(6318, 7717), List(2639, 5400), List(2425, 11298), List(303, 2597), List(7274, 9976), List(6430, 9062), List(3588, 4236), List(4527, 7639), List(6614, 10869), List(1916, 9327), List(2876, 4939), List(4856, 9800), List(1036, 8002), List(3761, 5103), List(6412, 10361), List(414, 5969), List(4271, 10278), List(5947, 8312), List(910, 6550), List(2271, 9676), List(34, 2715), List(5481, 10202), List(426, 5979), List(3294, 9774), List(8180, 8334), List(5599, 7979), List(998, 5616), List(3007, 9717), List(5063, 11382), List(4562, 6670), List(2136, 3974), List(6676, 8313), List(1288, 5570), List(2721, 10262), List(5305, 7882), List(1846, 2865), List(2441, 11376), List(4929, 8534), List(1008, 6684), List(168, 8922), List(1684, 2537), List(319, 2675), List(5606, 7995), List(403, 7284), List(905, 8434), List(504, 8090), List(4508, 5279), List(3124, 7619), List(7532, 9587), List(1952, 6674), List(1773, 5211), List(3677, 8734), List(3023, 10196), List(3, 6761), List(5246, 6147), List(6632, 10993), List(10863, 11571), List(1354, 2783), List(452, 10559), List(457, 10903), List(4259, 11341), List(8428, 11041), List(9085, 9850), List(3388, 5598), List(1485, 4929), List(4757, 8585), List(3169, 6988), List(3004, 8641), List(3468, 7055), List(2162, 4390), List(4252, 11301), List(2093, 6505), List(2745, 4216), List(301, 6576), List(1920, 8240), List(2155, 6602), List(10687, 11503), List(379, 11370), List(3715, 10315), List(5484, 8540), List(1869, 3764), List(3178, 6700), List(1397, 4708), List(7470, 10937), List(3466, 6578), List(741, 3091), List(3677, 10962), List(4675, 10064), List(7, 63), List(7229, 11225), List(651, 3548), List(6593, 11014), List(3350, 5090), List(5500, 8642), List(772, 5006), List(4321, 11414), List(806, 3836), List(2131, 11469), List(1849, 1957), List(3009, 8180), List(4279, 5526), List(2350, 9298), List(4370, 4890), List(10383, 11068), List(1571, 6527), List(3279, 6728), List(1187, 3154), List(2843, 3165), List(45, 11443), List(4990, 7200), List(2065, 7035), List(946, 9858), List(4430, 5291), List(7413, 9598), List(9180, 11160), List(5102, 10824), List(1349, 11002), List(2865, 11033), List(4508, 10085), List(4575, 5645), List(471, 4088), List(2603, 6337), List(1242, 3211), List(1424, 4945), List(7740, 8680), List(4629, 5127), List(2423, 11065), List(3631, 6779), List(6000, 8941), List(7340, 11190), List(4728, 9270), List(3066, 10942), List(6586, 9038), List(1085, 8862), List(4318, 6928), List(541, 7486), List(740, 8827), List(759, 8877), List(5771, 5856), List(2626, 4227), List(9237, 11263), List(4282, 8402), List(2446, 8955), List(6522, 8464), List(1259, 1286), List(200, 10576), List(2629, 11291), List(5275, 9789), List(385, 8077), List(6611, 10384), List(3275, 9187), List(6477, 7940), List(1556, 10325), List(7690, 8162), List(8808, 11530), List(9095, 10806), List(1122, 7589), List(160, 8898), List(277, 3067), List(9185, 10699), List(4039, 10522), List(3705, 4984), List(2856, 5978), List(3133, 8730), List(4258, 9105), List(9294, 10642), List(2047, 7529), List(335, 3422), List(467, 5793), List(3010, 9828), List(2912, 6287), List(4095, 4388), List(3138, 6041), List(7804, 8799), List(1421, 1590), List(77, 1851), List(3294, 6554), List(2972, 10475), List(2160, 8345), List(5890, 7217), List(6555, 10051), List(5121, 11550), List(2805, 8268), List(1227, 7359), List(3553, 6441), List(1414, 7185), List(1772, 4449), List(4208, 8587), List(1625, 7405), List(7977, 10797), List(3355, 9085), List(9901, 11562), List(5787, 9317), List(4758, 9404), List(5721, 10949), List(2791, 10440), List(3254, 6000), List(3789, 6509), List(6808, 9719), List(6925, 11058), List(3255, 5821), List(1360, 9177), List(598, 6410), List(1043, 7026), List(7271, 10914), List(888, 3705), List(2033, 11148), List(10590, 11383), List(3271, 6704), List(11173, 11209), List(8530, 9976), List(8478, 9786), List(9001, 9561), List(5324, 10323), List(1907, 3280), List(1083, 6051), List(780, 2078), List(2795, 3742), List(181, 7411), List(9998, 10690), List(8116, 8646), List(10393, 11219), List(5345, 8167), List(123, 7406), List(4577, 5555), List(655, 9896), List(560, 6626), List(835, 8551), List(6394, 6453), List(1512, 8012), List(6746, 8036), List(1197, 6688), List(6962, 8600), List(6114, 6813), List(4097, 9240), List(2601, 9861), List(2246, 11390), List(2554, 9291), List(5702, 8939), List(3238, 9923), List(8196, 10049), List(6725, 9037), List(1553, 10645), List(7788, 8534), List(6470, 8518), List(5231, 7075), List(6755, 11131), List(6010, 10223), List(6280, 7640), List(3539, 10036), List(2866, 11448), List(4540, 8655), List(10111, 11482), List(5367, 8841), List(3288, 9636), List(1297, 6868), List(3480, 9806), List(7733, 10705), List(4490, 5535), List(5907, 9694), List(6743, 9966), List(8517, 8535), List(697, 1396), List(566, 2633), List(4338, 10776), List(1590, 5585), List(1755, 8096), List(1569, 4708), List(9279, 9797), List(10249, 10261), List(1407, 6632), List(3458, 3789), List(2623, 6371), List(2024, 5288), List(8187, 8781), List(722, 9912), List(5942, 7594), List(1427, 10667), List(2110, 8445), List(8560, 10460), List(7316, 8673), List(9393, 11215), List(3020, 4694), List(7302, 10495), List(5415, 11460), List(396, 6894), List(7806, 9439), List(1173, 9969), List(2109, 7439), List(2723, 9584), List(5305, 10541), List(131, 8316), List(3312, 6192), List(4181, 6604), List(5591, 9592), List(1818, 8394), List(128, 8018), List(389, 6073), List(9062, 10455), List(5521, 8072), List(195, 6207), List(1804, 3019), List(410, 8081), List(601, 1233), List(7256, 10096), List(1141, 4395), List(2434, 6798), List(784, 3569), List(1343, 5253), List(2330, 5694), List(1299, 10616), List(3262, 5674), List(5512, 10588), List(1703, 2563), List(5956, 7626), List(5843, 7160), List(1729, 7167), List(3563, 9951), List(3571, 10566), List(985, 9867), List(9662, 10985), List(5993, 9356), List(2404, 9965), List(1356, 5084), List(3152, 8138), List(1445, 4375), List(4523, 5536), List(4118, 7702), List(2836, 8841), List(6007, 10193), List(1060, 7193), List(5518, 7750), List(7130, 7489), List(1927, 7532), List(1875, 7342), List(1464, 5556), List(6409, 7729), List(505, 6382), List(4180, 5547), List(6943, 11046), List(8787, 11108), List(902, 3574), List(1270, 1526), List(9745, 10057), List(4358, 7539), List(2121, 6994), List(3883, 4048), List(7773, 11503), List(5192, 11148), List(3356, 5285), List(1740, 8056), List(2268, 10427), List(2978, 11526), List(5662, 6344), List(870, 11583), List(457, 3308), List(2607, 11024), List(7371, 10153), List(2163, 9098), List(671, 7209), List(2630, 4777), List(233, 6983), List(7389, 8480), List(8662, 8753), List(6774, 9116), List(4928, 8981), List(5031, 9860), List(2244, 4741), List(1843, 4397), List(4181, 4994), List(2568, 7282), List(8781, 9384), List(1558, 7419), List(5336, 7463), List(4486, 9013), List(2715, 3545), List(11180, 11388), List(2964, 10665), List(2219, 10511), List(3946, 4346), List(248, 1979), List(497, 4935), List(1770, 5208), List(11231, 11326), List(4600, 6267), List(3356, 4480), List(4870, 7848), List(2638, 8401), List(1328, 1830), List(8051, 9107), List(2669, 6933), List(4936, 8818), List(979, 4305), List(165, 8518), List(4895, 6565), List(9344, 10786), List(4306, 8422), List(725, 6640), List(3304, 10332), List(1351, 3130), List(2944, 5825), List(8844, 9682), List(563, 2148), List(2653, 9059), List(3532, 5995), List(4497, 9121), List(1616, 3586), List(313, 4602), List(6249, 8116), List(559, 8041), List(3981, 6760), List(9151, 11495), List(8466, 10638), List(7407, 7850), List(1806, 10476), List(1369, 4059), List(517, 4782), List(6776, 7983), List(3280, 4619), List(5026, 7556), List(1452, 9197), List(2971, 6493), List(194, 2816), List(572, 1456), List(8264, 9349), List(4871, 7618), List(5079, 7567), List(6013, 11380), List(5459, 7788), List(6481, 6530), List(970, 5666), List(4796, 11416), List(6893, 8918), List(1212, 5953), List(1787, 11523), List(9535, 10680), List(317, 1287), List(4487, 10257), List(4045, 9912), List(1185, 3726), List(2714, 8880), List(472, 1575), List(7225, 7563), List(1244, 10722), List(1177, 9500), List(2736, 3943), List(2354, 3649), List(1452, 11425), List(2104, 9136), List(803, 10979), List(235, 5045), List(9233, 11439), List(1174, 2786), List(202, 2653), List(6153, 7953), List(862, 5143), List(9948, 11384), List(10974, 10999), List(630, 11209), List(6920, 9559), List(4086, 8758), List(3112, 8552), List(10150, 10737), List(2314, 10235), List(2376, 4697), List(4172, 6997), List(3587, 4092), List(3730, 10816), List(751, 9634), List(7652, 9858), List(3104, 10539), List(91, 10527), List(5227, 10016), List(1679, 6462), List(5848, 6162), List(899, 7253), List(3139, 6561), List(5446, 7845), List(3168, 11463), List(831, 8058), List(6187, 9011), List(2093, 8172), List(725, 3875), List(1191, 9532), List(790, 2018), List(5115, 5237), List(4617, 10622), List(173, 329), List(3681, 6736), List(2031, 3507), List(8591, 9854), List(2465, 3964), List(4183, 11269), List(6600, 10469), List(6660, 10520), List(693, 5441), List(4855, 10386), List(7477, 10742), List(6911, 7887), List(9027, 9603), List(3296, 7275), List(5419, 5998), List(584, 3993), List(1614, 10924), List(146, 10183), List(6687, 9310), List(1797, 7598), List(2110, 5843), List(372, 2767), List(2827, 11119), List(79, 11590), List(6655, 10526), List(549, 1905), List(7962, 10383), List(10720, 11374), List(2786, 7331), List(2201, 4426), List(4097, 4678), List(7201, 10470), List(5088, 6019), List(6519, 9884), List(7453, 11445), List(719, 9671), List(507, 11478), List(634, 673), List(7354, 10685), List(2996, 5828), List(752, 4112), List(5364, 8519), List(787, 10714), List(8629, 8752), List(878, 4416), List(2249, 7476), List(3708, 6973), List(4570, 6214), List(6097, 10541), List(467, 8265), List(4971, 10695), List(3762, 4176), List(1172, 6741), List(2937, 7476), List(2822, 6183), List(1905, 6511), List(8011, 8716), List(759, 1095), List(1378, 10000), List(1250, 8502), List(5326, 8011), List(2184, 5145), List(348, 9862), List(8567, 10102), List(5298, 5963), List(9525, 11303), List(1657, 6382), List(6292, 6821), List(4329, 6101), List(755, 1326), List(878, 10027), List(2865, 5479), List(6432, 6831), List(6478, 7176), List(3649, 9725), List(3862, 4356), List(2052, 3124), List(1398, 4586), List(1519, 6044), List(2768, 8929), List(4936, 6671), List(6961, 9023), List(3980, 11178), List(3256, 5485), List(6154, 10620), List(4276, 10947), List(6896, 8224), List(2288, 5444), List(151, 2127), List(2437, 8950), List(5916, 10455), List(6234, 9044), List(2225, 10757), List(1625, 2656), List(2583, 8775), List(5766, 6724), List(2087, 4407), List(2907, 10562), List(8931, 10513), List(9717, 11422), List(2933, 3115), List(70, 418), List(3112, 5332), List(10087, 10201), List(4070, 6533), List(3550, 11193), List(1987, 4176), List(2859, 4105), List(216, 2872), List(5061, 7847), List(9078, 10159), List(6898, 10148), List(4914, 8551), List(1108, 10623), List(6710, 10851), List(1108, 4207), List(5925, 7134), List(5744, 8254), List(6329, 11159), List(10938, 11131), List(198, 11341), List(640, 5270), List(237, 10515), List(13, 10807), List(889, 1810), List(393, 4612), List(5836, 8193), List(2971, 8079), List(5885, 8085), List(4109, 8689), List(2330, 3360), List(2806, 3289), List(1366, 3842), List(2014, 8227), List(7287, 10431), List(4198, 8357), List(1426, 11440), List(2321, 2493), List(684, 10803), List(5911, 9656), List(3196, 6103), List(2483, 10368), List(456, 11353), List(2102, 10676), List(887, 959), List(1201, 2812), List(349, 9951), List(1811, 7467), List(3368, 7499), List(3559, 4815), List(295, 1020), List(503, 7385), List(5329, 8146), List(2650, 11420), List(8775, 11423), List(2876, 10420), List(7886, 10736), List(8163, 9324), List(313, 10644), List(29, 10885), List(836, 10419), List(5230, 8517), List(1456, 9346), List(4195, 10287), List(4570, 9410), List(4064, 11524), List(889, 6266), List(3318, 6981), List(1170, 9891), List(950, 1257), List(1849, 6015), List(2136, 9455), List(6840, 8533), List(1888, 5189), List(6585, 7260), List(1130, 9711), List(1968, 4394), List(3297, 7982), List(6540, 6736), List(3183, 11078), List(3647, 9492), List(3707, 9543), List(2181, 2408), List(2420, 4676), List(2218, 7171), List(5912, 10550), List(3758, 6098), List(2868, 8973), List(9674, 11589), List(3227, 9091), List(4142, 6438), List(2270, 4328), List(6192, 9786), List(4222, 7895), List(5407, 6069), List(6644, 6685), List(2134, 10856), List(4273, 7860), List(73, 6595), List(1010, 6919), List(3723, 7393), List(4404, 10006), List(5457, 8815), List(5555, 9350), List(1606, 5452), List(1193, 10009), List(3500, 11293), List(5681, 11152), List(7047, 8206), List(5514, 6316), List(2401, 9106), List(11277, 11565), List(2428, 10929), List(4570, 7450), List(5705, 9267), List(566, 3845), List(7788, 8591), List(6596, 6994), List(2743, 9220), List(2492, 5437), List(644, 8639), List(80, 195), List(3393, 3852), List(2290, 7962), List(5156, 10930), List(115, 2633), List(2262, 5914), List(488, 7345), List(2164, 3127), List(2829, 5207), List(4909, 8020), List(3479, 9261), List(3131, 5545), List(2878, 5099), List(2443, 4390), List(8886, 10152), List(4643, 5053), List(8065, 10188), List(8347, 9120), List(7882, 11235), List(5583, 9812), List(4673, 7147), List(8413, 10871), List(6567, 10736), List(759, 9097), List(2335, 3517), List(6543, 8807), List(5793, 8309), List(4045, 4545), List(3365, 4786), List(7905, 8371), List(1985, 3138), List(3139, 8415), List(403, 11155), List(721, 9744), List(2206, 8210), List(9494, 11324), List(303, 1125), List(1731, 5473), List(10364, 11180), List(340, 10806), List(1085, 4544), List(2332, 10766), List(4064, 9109), List(1726, 2096), List(4253, 5598), List(1352, 5827), List(4096, 7112), List(944, 4312), List(3528, 7594), List(947, 7993), List(1640, 5705), List(9100, 9865), List(1782, 5007), List(944, 4662), List(1286, 7809), List(164, 11115), List(1434, 7707), List(6046, 7950), List(36, 5453), List(2928, 3226), List(5199, 9017), List(5500, 5747), List(8115, 9096), List(1298, 7819), List(2074, 8040), List(6197, 10748), List(5774, 8201), List(6534, 7889), List(5058, 5779), List(4063, 6948), List(8796, 9430), List(4126, 11434), List(136, 10945), List(1664, 6829), List(3818, 4865), List(3227, 10059), List(7293, 8880), List(734, 6141), List(1104, 4920), List(1792, 5294), List(4932, 6579), List(1069, 8117), List(3502, 6322), List(1664, 3796), List(2032, 8164), List(5769, 8207), List(2524, 8626), List(471, 10642), List(3315, 3463), List(316, 6567), List(4314, 11081), List(1676, 3806), List(4922, 6241), List(3764, 9890), List(6288, 9711), List(5765, 7684), List(534, 11341), List(7282, 10569), List(6110, 11102), List(3586, 4865), List(4109, 6892), List(6311, 7628), List(996, 6676), List(10201, 10919), List(5853, 6750), List(11042, 11535), List(4669, 5014), List(6751, 7900), List(3203, 4346), List(5438, 8228), List(3039, 9607), List(357, 2784), List(3501, 11358), List(1887, 4376), List(7554, 9163), List(8137, 8989), List(10105, 10807), List(2010, 6661), List(9795, 9827), List(607, 3309), List(504, 2430), List(9266, 10237), List(7086, 10980), List(508, 2549), List(2536, 9336), List(609, 3355), List(3054, 3849), List(1156, 3524), List(2594, 6308), List(601, 9129), List(5258, 7637), List(4829, 9409), List(314, 6820), List(997, 6096), List(2769, 3838), List(1016, 3894), List(331, 3791), List(1992, 4146), List(1744, 10460), List(1271, 8550), List(2391, 7827), List(1553, 7482), List(1331, 2185), List(7640, 11165), List(3419, 8269), List(5527, 5960), List(8708, 8754), List(5525, 5887), List(7090, 9944), List(3699, 4876), List(889, 10885), List(1023, 7667), List(1596, 6805), List(2294, 11277), List(2284, 6425), List(5434, 6900), List(4317, 7140), List(9480, 9950), List(5179, 6381), List(74, 2041), List(6732, 11175), List(1042, 8848), List(1107, 9243), List(696, 8211), List(5076, 8131), List(659, 8329), List(6596, 9035), List(3994, 7803), List(4667, 6391), List(2117, 8355), List(682, 7000), List(5079, 8779), List(1335, 1903), List(1718, 11467), List(5135, 5678), List(9964, 10120), List(9732, 10551), List(5434, 5745), List(2199, 6852), List(588, 3551), List(237, 2570), List(5783, 10036), List(8830, 8878), List(8293, 10925), List(9509, 11418), List(6059, 8399), List(5309, 7147), List(171, 7585), List(3596, 5821), List(6674, 11146), List(2652, 7709), List(2968, 9635), List(850, 4840), List(10337, 11425), List(1431, 3839), List(3306, 9630), List(3643, 6017), List(2521, 5159), List(2209, 4106), List(5559, 6921), List(2893, 10400), List(1047, 3849), List(2424, 8609), List(7840, 10367), List(3064, 5559), List(8402, 11568), List(7077, 10381), List(1729, 7037), List(1262, 6073), List(1917, 9717), List(7108, 8913), List(453, 3460), List(2882, 6427), List(7412, 9324), List(8499, 11127), List(466, 3695), List(1719, 6699), List(3620, 6541), List(7381, 11142), List(1722, 10380), List(375, 6960), List(972, 4964), List(5411, 9251), List(3621, 10149), List(4141, 5489), List(930, 5492), List(1497, 11201), List(1595, 7572), List(2586, 9667), List(5884, 8128), List(2794, 6206), List(1185, 2978), List(1204, 7192), List(987, 9409), List(10544, 11071), List(2695, 9610), List(1480, 6309), List(2887, 9780), List(7374, 10321), List(3040, 5858), List(3668, 10345), List(275, 3696), List(9263, 9402), List(6646, 7138), List(82, 4055), List(1668, 8989), List(111, 2541), List(8644, 10296), List(3899, 4801), List(2224, 3959), List(3091, 9960), List(1847, 8173), List(231, 3774), List(6480, 8539), List(138, 3583), List(1106, 10390), List(1006, 6776), List(3396, 7563), List(4275, 4499), List(3296, 10365), List(3120, 7665), List(126, 3199), List(4239, 8225), List(5068, 11490), List(1176, 7372), List(3581, 9945), List(2275, 6526), List(80, 6237), List(4518, 10269), List(4611, 7050), List(5624, 5706), List(7243, 7370), List(7057, 10398), List(9333, 10117), List(2630, 3492), List(983, 4698), List(838, 8481), List(950, 8722), List(5473, 9674), List(6521, 7385), List(604, 1669), List(3790, 4053), List(3939, 7559), List(5156, 10906), List(2496, 7814), List(3158, 3961), List(1322, 4514), List(138, 2778), List(3930, 8944), List(7008, 10105), List(3959, 7430), List(5332, 5655), List(1345, 5437), List(8463, 9860), List(1472, 4458), List(9001, 10667), List(6477, 7436), List(462, 4595), List(4049, 7323), List(2517, 2625), List(997, 11520), List(1701, 3005), List(2323, 9175), List(2054, 4032), List(2630, 2687), List(4118, 11223), List(8600, 9168), List(1353, 1891), List(3474, 11121), List(5863, 7519), List(3673, 7574), List(2310, 3621), List(4897, 11338), List(4527, 6143), List(7104, 9008), List(711, 1111), List(8908, 9671), List(3337, 4592), List(274, 10909), List(4787, 10419), List(602, 10186), List(4203, 10368), List(686, 6881), List(2981, 6650), List(1238, 7394), List(1898, 9130), List(6560, 8736), List(8528, 10554), List(741, 3555), List(4192, 9428), List(4904, 11354), List(5778, 7946), List(4312, 7278), List(7791, 8783), List(1942, 7897), List(5741, 8818), List(2508, 4336), List(1919, 10357), List(5491, 7889), List(4627, 5569), List(730, 8277), List(7607, 10359), List(4369, 5533), List(8539, 10339), List(6388, 9568), List(2708, 3643), List(4244, 9968), List(2434, 5326), List(8939, 11212), List(2396, 2590), List(6545, 10683), List(2808, 11394), List(1815, 6220), List(6016, 11093), List(2740, 5783), List(472, 10089), List(9615, 10448), List(4551, 6863), List(3391, 10439), List(6665, 8506), List(4418, 7273), List(2761, 10043), List(9576, 10493), List(2793, 5794), List(3352, 7478), List(2106, 9028), List(3381, 5964), List(3847, 5205), List(4652, 6164), List(6708, 7829), List(1548, 4536), List(5744, 8311), List(2141, 5050), List(6057, 6556), List(1516, 11414), List(2787, 9362), List(5767, 9234), List(5793, 8203), List(1192, 5840), List(2472, 10290), List(1883, 9895), List(3934, 7052), List(2786, 11389), List(8574, 8589), List(5488, 10950), List(7945, 8795), List(7569, 10201), List(7557, 8686), List(248, 4695), List(2775, 8197), List(7439, 7876), List(527, 6739), List(7899, 8800), List(177, 2950), List(1419, 3910), List(2857, 8946), List(2633, 7740), List(3564, 4866), List(1692, 2756), List(2015, 8859), List(1914, 5020), List(1884, 2145), List(511, 2422), List(6825, 10992), List(4053, 7659), List(1374, 6769), List(2994, 11287), List(7044, 9575), List(9031, 9191), List(6316, 6392), List(7286, 9108), List(750, 1657), List(502, 1555), List(1804, 9736), List(4015, 8306), List(6165, 9606), List(4542, 11206), List(3, 3305), List(2360, 10368), List(6415, 9000), List(1403, 5605), List(498, 7448), List(369, 5348), List(2143, 3917), List(1456, 9403), List(10174, 10522), List(7625, 8924), List(4139, 6248), List(1855, 3635), List(1791, 1930), List(4678, 9939), List(2665, 2686), List(6453, 11362), List(1286, 6898), List(950, 11113), List(6638, 11115), List(3565, 3882), List(3873, 8199), List(9750, 10352), List(566, 1324), List(5586, 8744), List(7076, 7554), List(1193, 7838), List(976, 9301), List(749, 3660), List(2930, 6525), List(848, 3639), List(447, 3295), List(2274, 11324), List(5693, 6362), List(10082, 10532), List(380, 4702), List(5402, 8815), List(2914, 4487), List(5415, 6768), List(2015, 10282), List(5840, 6008), List(5100, 5444), List(2914, 7870), List(8051, 10213), List(1446, 4123), List(1977, 4513), List(975, 2259), List(412, 3085), List(2753, 7363), List(1158, 11011), List(3835, 11074), List(876, 1499), List(161, 9101), List(7193, 8088), List(477, 11027), List(1600, 10575), List(5697, 8709), List(8162, 11333), List(5882, 7708), List(1309, 1731), List(7038, 7396), List(7227, 10301), List(3302, 10961), List(2578, 4514), List(6129, 8339), List(5284, 10233), List(2137, 7023), List(2045, 7434), List(3166, 11073), List(7581, 7796), List(3941, 11069), List(2035, 3713), List(5837, 10567), List(1169, 7736), List(3837, 9965), List(3529, 5648), List(3555, 4617), List(4370, 10428), List(2427, 3944), List(2034, 9877), List(8727, 9398), List(2999, 5833), List(5979, 9869), List(2744, 10976), List(9153, 10738), List(715, 9636), List(997, 8568), List(3801, 8406), List(9248, 10975), List(401, 7002), List(6812, 7591), List(7942, 8310), List(7873, 10425), List(2740, 11207), List(33, 6017), List(7089, 9562), List(6834, 8289), List(4815, 9889), List(3571, 8102), List(1450, 3036), List(2757, 9309), List(714, 5597), List(3855, 11244), List(3839, 9987), List(1351, 5659), List(2811, 8764), List(3220, 6717), List(722, 2455), List(2406, 10930), List(658, 4914), List(8187, 11123), List(5293, 6107), List(1430, 7645), List(2369, 2380), List(4053, 10855), List(994, 4082), List(5014, 10075), List(3175, 3941), List(5162, 5809), List(2121, 7913), List(189, 6506), List(3580, 11574), List(10235, 10611), List(7124, 7812), List(8175, 9204), List(4761, 8848), List(5126, 7283), List(8498, 8891), List(1793, 5603), List(118, 11177), List(3855, 7056), List(5397, 6056), List(205, 9641), List(3880, 8052), List(4845, 8926), List(3625, 6779), List(1003, 10587), List(7983, 9384), List(5965, 8203), List(2405, 3134), List(4957, 8386), List(8699, 8773), List(5268, 9968), List(5574, 7042), List(2876, 6102), List(1666, 9561), List(3087, 10486), List(7070, 9804), List(4026, 8227), List(1156, 7769), List(779, 5567), List(8241, 9800), List(156, 6342), List(4299, 7073), List(720, 8370), List(431, 8267), List(5226, 6709), List(682, 5634), List(5358, 9080), List(558, 3878), List(6103, 7736), List(803, 7092), List(1548, 1584), List(3970, 6790), List(763, 3529), List(7684, 11545), List(8570, 8928), List(2068, 6723), List(7052, 8070), List(5436, 10841), List(7143, 8188), List(3194, 3536), List(8572, 8974), List(2011, 9572), List(2438, 4721), List(3162, 8916), List(4126, 7653), List(7321, 9399), List(2242, 4782), List(4461, 7377), List(6319, 7145), List(4915, 10738), List(1713, 5569), List(252, 5245), List(4980, 9635), List(2549, 5841), List(6621, 7860), List(3004, 6421), List(6154, 9148), List(3841, 3885), List(8012, 10047), List(8545, 10510), List(1199, 8889), List(5307, 11319), List(1685, 2366), List(4792, 8429), List(905, 5409), List(2871, 10564), List(1613, 10599), List(441, 3962), List(4942, 8373), List(1368, 10768), List(4267, 8958), List(11149, 11384), List(3513, 10970), List(7222, 8965), List(3762, 7510), List(2707, 6376), List(5074, 7711), List(4007, 11478), List(4191, 6869), List(2921, 10277), List(5370, 7480), List(8166, 9709), List(9439, 9982), List(2283, 9239), List(3778, 8393), List(2195, 7140), List(879, 3033), List(5051, 9420), List(548, 7592), List(6140, 7132), List(6676, 7866), List(480, 2735), List(3335, 11206), List(107, 7068), List(878, 6945), List(899, 1406), List(6542, 11434), List(2927, 6658), List(2832, 9804), List(6158, 8061), List(2235, 9548), List(3539, 4970), List(560, 10204), List(7623, 8504), List(9555, 10665), List(6009, 7938), List(1735, 7690), List(3044, 10626), List(5967, 7712), List(5556, 6680), List(5067, 9899), List(2696, 6910), List(265, 3870), List(3382, 10621), List(4657, 5305), List(1019, 5241), List(8790, 10983), List(3136, 10565), List(323, 10641), List(3966, 10268), List(2435, 5041), List(1413, 6299), List(4735, 9318), List(1218, 5077), List(9810, 10783), List(2189, 9149), List(775, 4507), List(5709, 6491), List(3889, 5325), List(2803, 10540), List(3949, 5376), List(3202, 10811), List(103, 2357), List(4320, 7763), List(2365, 3898), List(4162, 9806), List(3508, 11268), List(1581, 9451), List(3821, 9513), List(2665, 7573), List(2919, 10873), List(10114, 11544), List(4875, 8924), List(6463, 11275), List(2972, 8255), List(213, 9291), List(3222, 5397), List(7389, 11440), List(7707, 10029), List(1759, 9164), List(1754, 4656), List(9573, 11570), List(5184, 7400), List(426, 7305), List(46, 668), List(8977, 10004), List(4366, 6953), List(4312, 10100), List(6824, 8406), List(3128, 9118), List(884, 11566), List(934, 4513), List(2551, 5350), List(1560, 1757), List(9775, 10923), List(10303, 11042), List(7350, 11081), List(4924, 8385), List(7871, 10029), List(3053, 9883), List(646, 11401), List(395, 1202), List(7934, 8099), List(2571, 2969), List(5714, 8689), List(3976, 6367), List(60, 1855), List(9211, 9245), List(2349, 8225), List(3285, 5695), List(6465, 10516), List(4308, 9176), List(6667, 10650), List(4404, 8884), List(8602, 10076), List(6107, 8741), List(2461, 8816), List(2653, 8986), List(7417, 8115), List(4549, 9238), List(6596, 8905), List(2220, 9104), List(191, 10016), List(495, 10427), List(5686, 9623), List(2456, 11074), List(1985, 2821), List(488, 2840), List(4939, 7888), List(7053, 9531), List(2636, 7477), List(311, 11249), List(2282, 5444), List(1943, 5978), List(79, 4483), List(9788, 9949), List(2572, 2739), List(1450, 6045), List(3038, 8396), List(1254, 1969), List(4065, 5230), List(379, 8158), List(3966, 10886), List(4594, 11209), List(2997, 4608), List(2224, 8822), List(4079, 5286), List(3800, 5871), List(3141, 6989), List(3206, 5886), List(3758, 6399), List(7495, 9071), List(1929, 4336), List(1958, 9992), List(5499, 5959), List(146, 8687), List(211, 6830), List(2539, 2575), List(765, 1754), List(2915, 5306), List(2442, 2642), List(5155, 8778), List(6247, 6761), List(10037, 10602), List(2064, 6631), List(2523, 11117), List(4768, 11523), List(6418, 8336), List(10533, 11183), List(10111, 11490), List(570, 8052), List(2173, 3541), List(6532, 9754), List(3043, 6780), List(3170, 8053), List(926, 11255), List(7994, 9899), List(582, 5029), List(3037, 6211), List(5194, 10934), List(681, 4254), List(1511, 11127), List(6234, 8003), List(3058, 4055), List(5083, 6407), List(6113, 9928), List(4024, 10035), List(4591, 9328), List(472, 2575), List(819, 6820), List(3012, 4060), List(711, 5974), List(4707, 9661), List(1519, 10614), List(7938, 11064), List(890, 994), List(4690, 11185), List(4998, 9086), List(5810, 8964), List(839, 7822), List(4566, 7177), List(2503, 8505), List(9820, 10105), List(2855, 5924), List(948, 7765), List(2591, 7571), List(7356, 8056), List(6485, 10981), List(4243, 10092), List(5516, 11119), List(4926, 7870), List(856, 11559), List(199, 7088), List(753, 8428), List(6721, 10699), List(129, 11230), List(3460, 10585), List(1867, 3726), List(6729, 8308), List(1065, 3038), List(6166, 9134), List(8005, 8852), List(2222, 5580), List(1150, 8249), List(3545, 5970), List(6067, 8374), List(2387, 3203), List(4632, 7773), List(4105, 10508), List(2261, 4784), List(3785, 8840), List(2732, 3615), List(6465, 9174), List(2518, 5349), List(3724, 10816), List(1262, 6211), List(2356, 11437), List(7177, 11100), List(6585, 7024), List(8990, 9597), List(6035, 6557), List(421, 4814), List(116, 4178), List(169, 7222), List(855, 10933), List(2914, 5699), List(4502, 8050), List(4588, 7070), List(9753, 11461), List(505, 6390), List(1098, 7658), List(1502, 5267), List(4611, 7993), List(3403, 5863), List(3616, 6910), List(2900, 10904), List(1838, 10851), List(4353, 10586), List(2871, 9385), List(2151, 6063), List(4162, 10237), List(337, 8095), List(2295, 2809), List(1183, 6803), List(2172, 10323), List(3287, 3594), List(4125, 4693), List(174, 9794), List(1306, 4924), List(8144, 10461), List(5692, 8796), List(1014, 4523), List(171, 3080), List(4061, 4119), List(5776, 7743), List(6235, 11475), List(9454, 9835), List(1255, 11001), List(5639, 8411), List(2846, 10617), List(2973, 5474), List(9278, 10548), List(3648, 8272), List(2643, 8753), List(7025, 9500), List(6135, 8211), List(4485, 5736), List(870, 4370), List(7337, 10526), List(85, 653), List(5855, 9325), List(7687, 11282), List(2083, 10227), List(3966, 8739), List(8647, 11031), List(767, 3841), List(2857, 6588), List(2723, 4144), List(825, 7229), List(10415, 11283), List(1917, 5212), List(5093, 6908), List(2937, 5793), List(509, 8686), List(4218, 6681), List(9373, 9630), List(6052, 9465), List(1809, 11536), List(3624, 5942), List(4278, 4480), List(7502, 11128), List(3087, 5737), List(2774, 4459), List(716, 6131), List(7340, 10019), List(843, 1742), List(5127, 8370), List(2233, 3354), List(5722, 9711), List(7596, 11113), List(7613, 8084), List(2351, 10930), List(116, 4796), List(10468, 10893), List(1910, 4017), List(3477, 5491), List(2535, 9704), List(4398, 7564), List(76, 2364), List(478, 6316), List(3807, 10506), List(3, 2825), List(2114, 4197), List(1718, 4197), List(9221, 11437), List(1747, 9853), List(4603, 4963), List(8498, 8598), List(4202, 4619), List(4148, 7766), List(6515, 9855), List(1591, 2143), List(4581, 6867), List(1838, 8436), List(1745, 5993), List(2643, 7143), List(6070, 6206), List(1046, 7712), List(968, 6301), List(462, 7661), List(6966, 9912), List(705, 4386), List(2286, 2560), List(8385, 10010), List(2504, 10367), List(7239, 8758), List(9887, 10335), List(3282, 7251), List(7702, 10734), List(7017, 10631), List(2691, 10193), List(4936, 10599), List(4556, 4716), List(2312, 7164), List(1818, 10793), List(1725, 9848), List(2752, 7436), List(5157, 9255), List(4682, 10682), List(4954, 8926), List(7641, 9677), List(7517, 7921), List(5105, 8341), List(8291, 10725), List(6199, 7151), List(442, 5854), List(3494, 5040), List(3239, 10183), List(3369, 9475), List(5071, 6478), List(4515, 8475), List(9895, 10576), List(4790, 6236), List(812, 1600), List(8155, 10837), List(2117, 7046), List(6845, 10682), List(3760, 6098), List(765, 10829), List(6902, 8183), List(1572, 6199), List(1210, 11445), List(1334, 6785), List(1112, 1488), List(114, 3140), List(1074, 5168), List(4348, 10405), List(110, 5650), List(172, 7282), List(8476, 9323), List(3216, 8078), List(6120, 11530), List(6387, 9430), List(2536, 6067), List(7212, 9513), List(2252, 6308), List(848, 2354), List(4342, 9055), List(1938, 10090), List(6205, 6915), List(3803, 8777), List(5573, 9856), List(1464, 7955), List(784, 8196), List(4671, 4800), List(10307, 11028), List(10405, 11563), List(4326, 7017), List(446, 5168), List(9809, 9997), List(1629, 9685), List(2236, 7653), List(271, 5352), List(1919, 5502), List(1492, 10353), List(4506, 9055), List(1803, 7771), List(3172, 8506), List(524, 6929), List(4378, 7557), List(4161, 9774), List(1762, 11153), List(3407, 6868), List(2283, 10101), List(6025, 10488), List(4495, 5863), List(2165, 9291), List(1258, 3891), List(7331, 10120), List(2469, 3286), List(693, 11060), List(1226, 5107), List(5730, 9035), List(2531, 10553), List(9229, 9664), List(941, 5123), List(538, 10368), List(5445, 9805), List(2869, 9794), List(3327, 5010), List(4199, 11355), List(3299, 9378), List(92, 6117), List(2999, 9086), List(9589, 11138), List(157, 4260), List(8128, 11568), List(6447, 9026), List(64, 8233), List(6996, 10022), List(8467, 11034), List(4201, 4985), List(4039, 10319), List(3863, 8373), List(1960, 11114), List(10568, 10937), List(4606, 6202), List(5662, 7938), List(7954, 8190), List(550, 7345), List(206, 7535), List(338, 9906), List(1264, 6688), List(983, 10610), List(3691, 5822), List(3191, 4718), List(49, 6770), List(3399, 5421), List(8168, 9812), List(5117, 10474), List(1600, 2069), List(9406, 11030), List(2687, 3872), List(233, 5544), List(1589, 8326), List(1570, 4112), List(7700, 10875), List(403, 9927), List(5635, 9124), List(243, 6262), List(5485, 6147), List(7030, 11080), List(66, 10507), List(876, 9558), List(8579, 10470), List(1805, 3605), List(303, 3280), List(3518, 10566), List(9511, 11204), List(278, 11329), List(4786, 7085), List(80, 4928), List(3414, 9462), List(4156, 4437), List(8646, 8659), List(8482, 9756), List(309, 3445), List(1384, 10149), List(5088, 7800), List(415, 3871), List(7476, 7760), List(7384, 8925), List(446, 8819), List(9281, 11277), List(3488, 8071), List(4362, 4663), List(11125, 11339), List(8508, 9075), List(9776, 11256), List(1291, 10308), List(6602, 7354), List(6996, 11445), List(5445, 8195), List(868, 10390), List(5720, 10120), List(2800, 10299), List(5694, 8899), List(5687, 7728), List(8147, 10008), List(921, 1356), List(89, 1957), List(8987, 10399), List(6052, 9546), List(3636, 7538), List(6395, 9885), List(3449, 11095), List(2575, 8087), List(7047, 7596), List(5961, 7149), List(6833, 7078), List(4496, 9335), List(3596, 7358), List(1820, 5710), List(1326, 9339), List(77, 6454), List(3562, 5495), List(8159, 10368), List(6416, 11112), List(755, 9523), List(4652, 6815), List(966, 7491), List(2934, 9309), List(10176, 11324), List(1303, 6130), List(1926, 9519), List(1366, 10616), List(3644, 3992), List(3427, 6209), List(5734, 7493), List(2959, 3889), List(3519, 9181), List(5105, 7699), List(649, 2307), List(4663, 7354), List(3885, 10470), List(987, 8718), List(2084, 7045), List(5969, 6986), List(11041, 11186), List(1294, 8646), List(477, 6172), List(360, 5587), List(1791, 9452), List(8949, 10241), List(10563, 11561), List(2008, 11372), List(446, 3826), List(7922, 10374), List(6129, 6867), List(3016, 6651), List(5982, 7571), List(1997, 7426), List(10770, 11258), List(1374, 4037), List(5947, 10768), List(4478, 10583), List(2251, 10726), List(6039, 7324), List(3976, 8652), List(184, 2486), List(4192, 6964), List(3486, 5984), List(986, 6557), List(3573, 7858), List(511, 1568), List(357, 7517), List(3657, 6805), List(2729, 6944), List(4090, 10070), List(1752, 3057), List(8673, 11073), List(6025, 9496), List(6612, 6812), List(2689, 3381), List(3900, 9946), List(1603, 2934), List(3817, 8191), List(4677, 6605), List(7321, 10692), List(4246, 7550), List(7358, 7541), List(2869, 5419), List(5021, 7546), List(7877, 9826), List(1488, 10716), List(6885, 8260), List(8405, 9164), List(2849, 10809), List(2298, 6734), List(5068, 9994), List(3629, 6985), List(10177, 10289), List(4723, 5795), List(141, 7646), List(330, 10551), List(1751, 5060), List(4557, 7977), List(1761, 5748), List(5767, 10153), List(724, 5193), List(7636, 8959), List(1631, 7560), List(3499, 11426), List(8776, 9642), List(1118, 1333), List(4481, 5107), List(8531, 9811), List(2858, 4455), List(10834, 11353), List(5944, 9641), List(180, 6419), List(121, 9222), List(6222, 11083), List(284, 4490), List(3639, 7649), List(9117, 10285), List(1916, 5635), List(3722, 6371), List(833, 8869), List(858, 9865), List(4903, 10061), List(6892, 10504), List(2107, 6334), List(9920, 11548), List(609, 6128), List(3219, 11385), List(3807, 11555), List(1935, 10199), List(5214, 8610), List(630, 3972), List(3455, 11103), List(70, 2817), List(4077, 10103), List(1845, 10656), List(6358, 10166), List(288, 4208), List(598, 2182), List(7213, 8236), List(2366, 3188), List(9967, 10963), List(6629, 8939), List(1992, 6919), List(5937, 7665), List(2924, 4647), List(7875, 10772), List(3259, 7377), List(9568, 9941), List(8950, 11060), List(1541, 5707), List(5006, 7506), List(680, 7068), List(6781, 8929), List(7304, 10956), List(1022, 10215), List(6903, 9858), List(148, 7207), List(24, 5451), List(1421, 8234), List(8078, 8098), List(3004, 3071), List(4843, 9205), List(4876, 5181), List(11446, 11462), List(2969, 6268), List(4782, 11181), List(541, 6909), List(2013, 11529), List(3498, 9995), List(6144, 8493), List(3212, 9409), List(7847, 10602), List(1875, 5179), List(5548, 6927), List(844, 3685), List(3461, 3697), List(9653, 11338), List(7000, 9417), List(4450, 4965), List(5351, 9796), List(8245, 8396), List(812, 9065), List(7262, 11080), List(1907, 10729), List(4044, 6906), List(2550, 11360), List(4785, 10324), List(11261, 11308), List(1638, 5616), List(7522, 8940), List(888, 3583), List(4005, 10334), List(6925, 7903), List(1636, 1756), List(170, 1088), List(4399, 7255), List(6336, 7508), List(4350, 11500), List(1358, 2943), List(1886, 5314), List(1765, 7239), List(3439, 8610), List(8220, 8874), List(10375, 10518), List(3713, 6900), List(1197, 4688), List(9786, 10877), List(1319, 6371), List(7255, 9885), List(2281, 2810), List(9319, 11411), List(811, 11068), List(1341, 3686), List(1088, 3240), List(9341, 9480), List(1836, 7829), List(2739, 9323), List(2149, 6074), List(5753, 6527), List(587, 2665), List(7995, 10045), List(4002, 6629), List(8555, 8921), List(5561, 6707), List(1175, 6218), List(3780, 4715), List(1758, 8296), List(2658, 3857), List(504, 2788), List(2317, 6947), List(2687, 5726), List(1596, 11351), List(3091, 10505), List(4464, 4566), List(1818, 3816), List(4902, 8175), List(8154, 10455), List(6784, 9495), List(2862, 7420), List(5601, 9115), List(4484, 8601), List(6533, 9095), List(5848, 8992), List(2056, 2826), List(3198, 6588), List(949, 3030), List(4848, 6784), List(261, 1875), List(5437, 9808), List(2533, 4104), List(1757, 4637), List(5559, 9239), List(5285, 10168), List(8733, 10108), List(1070, 1455), List(5023, 8478), List(2688, 11562), List(2719, 6711), List(4271, 6399), List(983, 2210), List(1261, 10068), List(5889, 7838), List(7167, 9209), List(7690, 11236), List(451, 7984), List(1025, 10730), List(2484, 3811), List(195, 7240), List(30, 9647), List(1840, 3709), List(5133, 8242), List(2860, 5788), List(6531, 7463), List(213, 7819), List(158, 1696), List(2451, 4802), List(457, 1763), List(9178, 9569), List(3474, 11316), List(3137, 8890), List(2762, 3351), List(10814, 11587), List(3854, 7750), List(2414, 8303), List(7944, 11129), List(1473, 10489), List(325, 8410), List(3809, 10259), List(9134, 9647), List(1097, 11141), List(3339, 5614), List(2810, 5270), List(8907, 10395), List(3905, 7688), List(7969, 9092), List(2243, 2944), List(2742, 4577), List(1154, 2226), List(1123, 2913), List(6177, 9917), List(3522, 4917), List(4886, 7560), List(5262, 10291), List(1803, 9438), List(7128, 11078), List(3081, 10809), List(741, 7133), List(1052, 10967), List(302, 3299), List(1199, 7230), List(7804, 11068), List(4910, 6052), List(3850, 6072), List(7554, 10139), List(7076, 7131), List(7702, 10791), List(3321, 10646), List(6330, 9758), List(8785, 10940), List(6975, 10462), List(3098, 8130), List(3776, 11226), List(10032, 10746), List(2368, 4120), List(131, 7739), List(3625, 3860), List(1337, 6790), List(2498, 7576), List(9055, 9488), List(1061, 1230), List(1069, 5255), List(1272, 5614), List(7880, 8969), List(2426, 4475), List(9464, 11578), List(312, 6969), List(928, 9187), List(1764, 9459), List(1230, 2355), List(6408, 11115), List(4713, 11149), List(9671, 11275), List(7682, 8580), List(767, 10932), List(2966, 7987), List(77, 3315), List(4037, 5093), List(1513, 6026), List(4056, 9307), List(10002, 10099), List(2344, 5954), List(2347, 5471), List(1139, 3341), List(5020, 8044), List(1909, 5245), List(1539, 4214), List(1322, 5677), List(9281, 10716), List(6540, 8948), List(7792, 9098), List(750, 3007), List(280, 6276), List(7563, 9046), List(1710, 5035), List(6659, 7327), List(222, 10435), List(2622, 7746), List(468, 3294), List(8835, 9848), List(970, 7854), List(722, 10758), List(3050, 10667), List(2732, 4908), List(1365, 10635), List(890, 1482), List(6994, 7024), List(7610, 9242), List(5089, 9692), List(8110, 9565), List(7704, 8877), List(3067, 4605), List(2007, 4625), List(256, 11143), List(10558, 11461), List(3663, 8019), List(8852, 10552), List(6488, 8734), List(4552, 5673), List(5426, 6429), List(5116, 7701), List(4734, 11571), List(5950, 11310), List(322, 5697), List(3080, 4436), List(2775, 10970), List(1775, 11041), List(3153, 3194), List(8060, 9047), List(9, 4419), List(408, 8100), List(4047, 7608), List(3178, 11360), List(3009, 9107), List(311, 8167), List(6125, 6588), List(2883, 4272), List(4295, 8087), List(1277, 7731), List(6365, 9458), List(3158, 6197), List(1027, 7556), List(4158, 11007), List(3911, 8097), List(5024, 6957), List(2386, 10232), List(5156, 7076), List(3027, 10036), List(7860, 8962), List(3428, 3964), List(8417, 10573), List(6103, 8118), List(93, 5621), List(2723, 6592), List(104, 9917), List(5085, 5331), List(4150, 4299), List(160, 10980), List(1056, 11303), List(844, 6694), List(2798, 10334), List(3047, 11038), List(3233, 8010), List(8964, 11092), List(2367, 11279), List(5931, 8950), List(2868, 9575), List(6154, 10685), List(10052, 11585), List(2413, 7490), List(6117, 11557), List(3978, 11547), List(3851, 10274), List(559, 10847), List(8828, 10450), List(5831, 8719), List(2761, 8173), List(5775, 11039), List(9595, 9804), List(1974, 4006), List(962, 1064), List(4705, 10721), List(443, 2162), List(6481, 9336), List(4225, 11023), List(6591, 7252), List(8402, 10584), List(2415, 4129), List(5286, 7441), List(2796, 6450), List(6653, 7349), List(1270, 4950), List(76, 6690), List(734, 8353), List(2596, 2605), List(4347, 5886), List(6145, 9013), List(1007, 9451), List(3660, 9120), List(971, 7542), List(881, 11032), List(6767, 8767), List(6822, 8474), List(4370, 10973), List(7386, 10502), List(1604, 10838), List(2217, 2959), List(916, 11218), List(4980, 9212), List(4367, 10675), List(2127, 4197), List(5050, 7699), List(7748, 8639), List(7534, 10373), List(2369, 3730), List(4989, 9675), List(1472, 5434), List(5799, 8726), List(1969, 6240), List(3495, 7713), List(9028, 10056), List(3857, 11512), List(433, 10468), List(187, 7029), List(373, 3247), List(6931, 8767), List(6617, 11051), List(4036, 10696), List(8795, 9481), List(6718, 11103), List(2288, 6932), List(8609, 11011), List(2038, 6003), List(2219, 2631), List(859, 9529), List(4246, 11445), List(2068, 5845), List(3277, 11583), List(6962, 10682), List(8783, 9097), List(7960, 9784), List(101, 1219), List(4144, 11168), List(4250, 11564), List(7139, 9820), List(6362, 10128), List(1744, 5906), List(5959, 8957), List(350, 7558), List(9880, 10807), List(5114, 10851), List(1260, 10223), List(4360, 8699), List(6135, 10122), List(6068, 8900), List(2155, 11075), List(3430, 5759), List(2611, 8874), List(8676, 11078), List(4455, 8936), List(3051, 9146), List(6779, 11355), List(5812, 8156), List(3162, 3500), List(3781, 5235), List(4375, 9357), List(5589, 6771), List(3603, 10009), List(5062, 9506), List(3371, 4024), List(3503, 6395), List(3661, 7735), List(1168, 3063), List(7515, 8363), List(507, 7518), List(3275, 7699), List(2628, 3916), List(3022, 3089), List(1440, 8073), List(991, 9967), List(36, 1867), List(9590, 10428), List(58, 5598), List(1928, 11045), List(3389, 4953), List(3366, 9665), List(3170, 5589), List(627, 2308), List(2368, 4901), List(8087, 9878), List(926, 8791), List(437, 5594), List(206, 3217), List(3597, 9039), List(3015, 5651), List(2786, 5599), List(3130, 3157), List(2071, 6785), List(7265, 9662), List(11074, 11271), List(4837, 10303), List(5181, 10113), List(5463, 6793), List(2264, 10563), List(1163, 1914), List(256, 9346), List(8574, 9565), List(2781, 5605), List(1470, 2596), List(4890, 6904), List(5679, 11494), List(3422, 9573), List(9096, 11367), List(7040, 7450), List(712, 7118), List(3461, 8747), List(3607, 8572), List(3366, 5477), List(2366, 4050), List(6600, 11315), List(3016, 11514), List(3525, 9671), List(7432, 7681), List(7626, 10930), List(3693, 10975), List(986, 8037), List(6996, 8282), List(2889, 3044), List(575, 589), List(4320, 4657), List(5691, 8471), List(2575, 10990), List(2635, 11041), List(2007, 11472), List(1458, 4814), List(1422, 2151), List(5938, 8348), List(6683, 7004), List(5181, 5925), List(10843, 11122), List(84, 6364), List(640, 2115), List(295, 11502), List(4092, 5180), List(5427, 6331), List(1067, 7063), List(6335, 8923), List(110, 8716), List(4960, 7619), List(416, 6544), List(2255, 5508), List(2809, 6848), List(1997, 4718), List(11396, 11456), List(3065, 4559), List(4018, 5416), List(1243, 2566), List(8992, 10239), List(4546, 5535), List(6041, 11105), List(6951, 8108), List(2811, 6894), List(2298, 11247), List(4354, 8748), List(10121, 11487), List(555, 1411), List(1895, 10076), List(8536, 9407), List(3075, 7906), List(3028, 8060), List(932, 11160), List(7866, 9612), List(896, 5087), List(8310, 10003), List(7646, 10777), List(860, 8813), List(1634, 5955), List(5364, 11243), List(4901, 9267), List(6776, 8642), List(4413, 9678), List(2383, 6982), List(1892, 10128), List(5891, 6973), List(3193, 6033), List(7572, 9515), List(230, 5384), List(3396, 6392), List(190, 5985), List(2629, 7388), List(3861, 7660), List(4430, 10032), List(5550, 10063), List(10469, 11015), List(1911, 11309), List(9779, 10568), List(1744, 5719), List(752, 10569), List(3214, 7260), List(6282, 6979), List(2183, 6520), List(2486, 4077), List(6324, 10588), List(5008, 6481), List(368, 10579), List(466, 5452), List(4253, 11274), List(1701, 9405), List(8407, 9131), List(2829, 7045), List(8555, 9783), List(4012, 11562), List(9260, 11292), List(6839, 8186), List(3417, 7969), List(8984, 9142), List(9729, 10050), List(4130, 9339), List(4058, 7019), List(2540, 10325), List(4493, 6947), List(3249, 5160), List(2590, 9688), List(3749, 9647), List(2417, 5007), List(2412, 4663), List(2183, 5365), List(2281, 5900), List(2711, 5484), List(2664, 5638), List(4123, 9299), List(1096, 4693), List(1311, 1649), List(3233, 7286), List(5576, 8227), List(2530, 5823), List(930, 2711), List(601, 3933), List(3551, 9258), List(3355, 5182), List(7226, 8423), List(7004, 9542), List(1498, 4858), List(9368, 11360), List(6562, 8443), List(3671, 10114), List(935, 6438), List(3149, 4525), List(2077, 7948), List(1521, 9945), List(1013, 4816), List(5438, 8643), List(2611, 4849), List(1176, 5746), List(4696, 8006), List(2105, 2799), List(2633, 9334), List(3600, 8369), List(705, 10298), List(1018, 8543), List(9294, 9317), List(10293, 11273), List(4408, 7724), List(8293, 9917), List(1629, 9636), List(160, 3035), List(2718, 8102), List(1787, 3806), List(5837, 8510), List(443, 11237), List(727, 4580), List(7284, 10656), List(4612, 10937), List(9469, 11011), List(6114, 7098), List(2191, 8585), List(9157, 9204), List(4047, 5274), List(2216, 10335), List(2185, 8016), List(2562, 4556), List(256, 6126), List(2209, 2748), List(2090, 4746), List(10020, 11299), List(906, 3010), List(6564, 10717), List(1805, 5516), List(3119, 8796), List(1808, 5033), List(1550, 10659), List(5913, 9444), List(831, 1146), List(2400, 2693), List(3418, 8863), List(56, 8697), List(1988, 10104), List(7500, 11570), List(3825, 6743), List(709, 9262), List(9076, 10154), List(2759, 6948), List(5133, 9454), List(9825, 11181), List(2253, 8308), List(4474, 8320), List(10408, 11007), List(1048, 9078), List(1853, 7785), List(6045, 8408), List(3275, 5902), List(3028, 4490), List(9093, 10858), List(2273, 3648), List(7341, 9604), List(1273, 7102), List(2121, 2473), List(94, 10628), List(1276, 5121), List(188, 9509), List(3160, 6487), List(3903, 10732), List(2313, 8308), List(3567, 8531), List(733, 3566), List(7666, 8963), List(1131, 10028), List(3777, 9280), List(759, 8170), List(628, 9407), List(4086, 10035), List(1839, 2386), List(3955, 7108), List(1283, 5137), List(9937, 10967), List(5362, 10579), List(3717, 7694), List(5427, 8722), List(5582, 6381), List(7500, 9610), List(6225, 6258), List(4229, 8808), List(4053, 11026), List(7783, 9898), List(7405, 7471), List(3702, 7012), List(7867, 11474), List(5596, 6437), List(2162, 3951), List(1234, 10506), List(10630, 11311), List(1392, 5430), List(6829, 7311), List(1230, 6600), List(2510, 4634), List(15, 9715), List(10439, 10962), List(3880, 8223), List(7718, 8348), List(751, 3340), List(2063, 3541), List(8277, 9251), List(8836, 10935), List(2181, 5482), List(4011, 6612), List(2557, 8213), List(7932, 9216), List(380, 7719), List(2515, 7987), List(1584, 10861), List(3298, 7844), List(6087, 8902), List(488, 8191), List(3979, 4795), List(2239, 11472), List(2948, 10471), List(1697, 10923), List(4596, 9867), List(6275, 11582), List(451, 8309), List(2861, 11226), List(1853, 11436), List(1638, 8064), List(1791, 10558), List(4561, 5150), List(4024, 7197), List(175, 497), List(882, 8495), List(8330, 9612), List(3127, 8901), List(2712, 10379), List(1342, 10173), List(8718, 8970), List(232, 4414), List(1660, 2346), List(3769, 9307), List(3550, 4281), List(2930, 8737), List(1374, 11559), List(7472, 7487), List(4263, 9815), List(875, 7674), List(7874, 10685), List(6432, 8913), List(1549, 3454), List(722, 10815), List(5820, 6814), List(3048, 9897), List(4142, 8707), List(4352, 5319), List(8428, 8992), List(8123, 11362), List(5126, 8877), List(556, 8833), List(2954, 7229), List(7496, 8231), List(7711, 10105), List(2011, 2172), List(6427, 10417), List(4536, 9011), List(5055, 7132), List(666, 2962), List(9077, 9788), List(3931, 3949), List(569, 3029), List(3595, 10416), List(166, 1858), List(4620, 11341), List(5026, 5613), List(6165, 9858), List(4520, 6973), List(6665, 10181), List(7941, 8473), List(3643, 3667), List(8101, 9105), List(873, 6796), List(1931, 2943), List(7588, 10048), List(5320, 7938), List(9055, 11318), List(1823, 11519), List(10386, 11569), List(1296, 5586), List(4071, 9190), List(4558, 8554), List(3376, 7645), List(8174, 10522), List(2914, 9277), List(2518, 9277), List(1448, 2193), List(1361, 10118), List(3876, 11351), List(1781, 1844), List(3475, 11007), List(1570, 7259), List(5307, 7302), List(79, 8224), List(344, 9461), List(129, 1171), List(6147, 7693), List(1895, 5514), List(2548, 6833), List(2794, 3856), List(9423, 11498), List(3139, 4268), List(3796, 9493), List(6807, 8678), List(4850, 8904), List(6346, 10912), List(3536, 11259), List(2985, 7184), List(6581, 9274), List(2603, 4638), List(4380, 9140), List(6955, 8926), List(6306, 10732), List(1095, 3744), List(1604, 1901), List(1001, 10498), List(4712, 8566), List(4115, 4146), List(3860, 10043), List(3862, 10089), List(2520, 11177), List(7527, 7812), List(1723, 10079), List(4672, 8386), List(7034, 7879), List(1208, 7943), List(5944, 9942), List(1677, 6701), List(501, 8990), List(9993, 10257), List(9709, 10498), List(5657, 9131), List(5433, 10177), List(2503, 9668), List(2632, 5352), List(4187, 5311), List(5651, 9316), List(7046, 11272), List(2595, 6224), List(9945, 10216), List(261, 5746), List(3124, 5033), List(971, 1183), List(9410, 10057), List(2846, 6974), List(2995, 9726), List(5140, 6518), List(4338, 5076), List(1566, 8159), List(8063, 10020), List(659, 9175), List(4864, 11538), List(1526, 8760), List(5951, 8423), List(2949, 6348), List(1123, 1173), List(5018, 8972), List(5135, 9557), List(1002, 3098), List(1520, 4781), List(6160, 6318), List(7968, 10133), List(5449, 11410), List(88, 2943), List(2931, 8371), List(1923, 9335), List(4070, 6200), List(10412, 11156), List(343, 1183), List(6399, 9717), List(2104, 10844), List(3071, 8381), List(6366, 7325), List(2169, 9741), List(2513, 9551), List(1100, 5511), List(4837, 5554), List(2416, 3202), List(3689, 9891), List(3074, 11281), List(7921, 9913), List(1785, 3335), List(9374, 9595), List(3935, 10297), List(255, 962), List(3157, 10003), List(4888, 5492), List(4550, 8880), List(2549, 4670), List(539, 4104), List(4692, 4799), List(1371, 4634), List(440, 1092), List(5260, 7700), List(6529, 11237), List(4352, 10743), List(1081, 9941), List(1795, 2868), List(2189, 6205), List(3968, 5118), List(3482, 8608), List(4679, 9825), List(4720, 10580), List(1193, 7903), List(2817, 9157), List(6588, 8030), List(7111, 10057), List(1037, 10773), List(473, 2329), List(5398, 6479), List(9040, 9668), List(5117, 10401), List(3145, 7683), List(2780, 6996), List(2023, 4573), List(5670, 8106), List(7105, 7209), List(2815, 8680), List(7719, 8600), List(1083, 3197), List(1337, 4245), List(4702, 11098), List(2052, 6442), List(2896, 11493), List(2108, 9757), List(2232, 5097), List(6375, 6582), List(1702, 2653), List(4167, 4523), List(2686, 6206), List(2011, 6791), List(1598, 11348), List(2190, 2592), List(725, 11194), List(2719, 7817), List(1759, 3537), List(1408, 1802), List(1323, 6390), List(2374, 7782), List(2071, 3809), List(4063, 10185), List(6947, 8097), List(2005, 5441), List(6258, 10504), List(876, 8330), List(7350, 8487), List(3210, 11437), List(1187, 3496), List(4170, 7803), List(689, 5471), List(708, 3269), List(5728, 10689), List(3517, 9867), List(8656, 8873), List(4224, 7285), List(2512, 3932), List(7718, 8324), List(7088, 7928), List(2979, 6027), List(2261, 9948), List(857, 10158), List(3205, 11443), List(1133, 8521), List(823, 3377), List(9016, 9566), List(8947, 10927), List(2374, 10010), List(235, 10754), List(9918, 10835), List(3960, 9282), List(4744, 9364), List(1134, 9096), List(661, 6432), List(1072, 8218), List(2689, 8301), List(8511, 10747), List(4798, 9600), List(10218, 11477), List(5602, 8082), List(1926, 9446), List(3954, 11315), List(5255, 7974), List(6253, 9705), List(1211, 9851), List(8073, 10147), List(6309, 6604), List(1383, 8645), List(5488, 6640), List(1487, 2552), List(2879, 4237), List(599, 7782), List(5187, 9129), List(3124, 4041), List(3464, 10525), List(635, 6658), List(1746, 8855), List(6603, 6677), List(10271, 10333), List(558, 8131), List(1580, 4621), List(196, 6961), List(1084, 7423), List(7247, 10162), List(5313, 7174), List(6510, 9869), List(3893, 7605), List(4548, 11249), List(9113, 10949), List(651, 1125), List(680, 6027), List(4329, 10387), List(8054, 8161), List(4354, 11383), List(829, 3117), List(7962, 9326), List(2508, 4832), List(4044, 10403), List(5069, 7164), List(2328, 3144), List(4562, 9053), List(3970, 4977), List(6523, 9700), List(2342, 6233), List(661, 1439), List(4838, 8170), List(7415, 11035), List(8905, 9845), List(1790, 9103), List(2872, 6398), List(224, 4821), List(5265, 6702), List(6610, 9295), List(727, 8825), List(5111, 6235), List(4639, 7179), List(5270, 10429), List(6258, 8089), List(4293, 5788), List(7030, 10820), List(6720, 9840), List(8523, 9147), List(5043, 8171), List(8456, 11308), List(1510, 11341), List(8136, 9640), List(3158, 5075), List(4685, 9402), List(1877, 9822), List(3931, 11414), List(3341, 4001), List(5247, 8351), List(4032, 5050), List(1597, 4520), List(4396, 6266), List(3330, 6471), List(4711, 10973), List(5289, 10455), List(2589, 8688), List(3885, 4249), List(813, 7040), List(1620, 2410), List(2406, 3319), List(3113, 11317), List(524, 6937), List(1496, 4818), List(876, 5110), List(3293, 3556), List(4659, 7026), List(1142, 9201), List(423, 3852), List(3602, 11481), List(10506, 11222), List(5406, 11390), List(6213, 6760), List(3761, 9259), List(1889, 7149), List(5132, 6657), List(5342, 7433), List(2890, 5768), List(2513, 9982), List(5216, 11266), List(5185, 9701), List(3853, 5815), List(88, 10140), List(828, 8452), List(788, 11305), List(4303, 6051), List(2754, 10044), List(6613, 11016), List(7986, 9241), List(9689, 11350), List(3705, 7822), List(3813, 5635), List(5838, 7987), List(821, 4248), List(977, 10423), List(2844, 5773), List(1789, 10301), List(5027, 8711), List(8785, 9631), List(876, 3955), List(2187, 3931), List(5573, 9409), List(4606, 6210), List(1743, 6923), List(3494, 3788), List(2310, 8468), List(1682, 8899), List(27, 5326), List(1271, 1451), List(1530, 9259), List(2958, 7191), List(9423, 9514), List(5813, 11498), List(306, 1708), List(545, 3976), List(1792, 6034), List(3409, 10281), List(205, 7291), List(2390, 4640), List(294, 9992), List(1821, 7903), List(52, 7426), List(10124, 10500), List(2593, 4218), List(7603, 10950), List(2064, 8038), List(8225, 10704), List(10562, 11076), List(565, 2699), List(6046, 11268), List(3023, 9814), List(1922, 7581), List(160, 4865), List(3773, 8814), List(8599, 8821), List(254, 10162), List(4829, 11304), List(1337, 4676), List(4444, 10739), List(308, 10398), List(1330, 6888), List(1667, 4029), List(7592, 9606), List(6341, 10812), List(1701, 2859), List(2701, 7669), List(666, 4629), List(1637, 10953), List(10496, 11553), List(8799, 9232), List(2028, 7576), List(6083, 6208), List(2901, 11113), List(6407, 8025), List(6699, 7645), List(3050, 8203), List(5295, 8609), List(2117, 10250), List(1564, 9512), List(934, 9116), List(6973, 10099), List(5156, 8450), List(8220, 9151), List(3640, 8419), List(2024, 10436), List(5071, 10032), List(1425, 3691), List(5688, 10940), List(5820, 11059), List(1608, 1863), List(1534, 3634), List(4902, 7752), List(4862, 8353), List(1655, 5092), List(10192, 10337), List(4285, 5309), List(1849, 8341), List(6768, 8539), List(8, 1380), List(10441, 11041), List(789, 1945), List(1048, 9753), List(2437, 5478), List(2146, 4548), List(4618, 8343), List(7049, 11383), List(284, 10296), List(375, 3244), List(3145, 6504), List(5333, 10540), List(4977, 8461), List(2021, 2567), List(3244, 4231), List(6382, 8853), List(2449, 5488), List(6597, 9946), List(4572, 7594), List(5291, 7281), List(3264, 8266), List(733, 858), List(7336, 10285), List(5656, 9099), List(3999, 4699), List(4661, 10268), List(3283, 5283), List(3157, 6864), List(1906, 8070), List(7726, 9689), List(3245, 5930), List(354, 11011), List(4184, 7081), List(8444, 9151), List(6579, 8966), List(3769, 8559), List(2805, 9041), List(5348, 6660), List(1141, 1972), List(10705, 11221), List(5545, 7174), List(2680, 7060), List(7408, 11450), List(63, 7802), List(1242, 2024), List(27, 5139), List(4519, 6778), List(8528, 11481), List(2616, 3103), List(3385, 8569), List(2793, 10909), List(1838, 2809), List(6227, 6979), List(3085, 8277), List(1048, 4410), List(2013, 7536), List(280, 8968), List(6806, 9315), List(3919, 6224), List(5152, 9350), List(5718, 5789), List(3882, 6342), List(9599, 11246), List(5070, 11203), List(6951, 9669), List(5595, 6887), List(3821, 8318), List(478, 5950), List(2193, 9574), List(4458, 8380), List(7694, 10127), List(230, 5067), List(2286, 6732), List(2351, 7881), List(3893, 6881), List(7822, 8592), List(5014, 9766), List(4670, 9956), List(382, 5838), List(6266, 9162), List(2219, 8893), List(2520, 5623), List(1031, 3251), List(1802, 3128), List(8164, 9460), List(659, 7809), List(1893, 8908), List(1459, 6172), List(4043, 6044), List(6293, 10958), List(5543, 9706), List(5634, 5660), List(1856, 3364), List(5295, 6194), List(2619, 8985), List(704, 10211), List(3259, 9345), List(955, 7578), List(4595, 7688), List(8896, 9759), List(6344, 10142), List(4035, 6533), List(3472, 7359), List(2666, 9181), List(4366, 4603), List(1095, 10217), List(10775, 10781), List(8066, 11180), List(41, 1357), List(1534, 4602), List(7793, 9301), List(1346, 10967), List(3829, 4371), List(1566, 9021), List(9071, 10672), List(5241, 8186), List(473, 11567), List(7219, 9968), List(1653, 5233), List(8375, 9656), List(2145, 5695), List(4452, 6979), List(4827, 6102), List(5605, 6396), List(3726, 3869), List(2141, 8205), List(4228, 5019), List(6101, 9983), List(932, 5850), List(2826, 5275), List(5472, 10189), List(1952, 2267), List(4472, 4598), List(6180, 11215), List(5872, 6898), List(10292, 10381), List(1519, 2385), List(4662, 8105), List(10505, 11428), List(4034, 4372), List(4934, 6349), List(337, 11275), List(3601, 8654), List(2223, 10839), List(2381, 11425), List(2286, 8155), List(1684, 3391), List(4178, 4501), List(3775, 9746), List(3592, 10793), List(785, 7651), List(1809, 5722), List(1277, 8113), List(7194, 7413), List(7885, 11468), List(461, 9247), List(1333, 2760), List(4144, 6021), List(2206, 5543), List(626, 3807), List(2238, 10716), List(5786, 7854), List(4201, 5774), List(1890, 7000), List(1060, 9926), List(2142, 7221), List(3627, 5687), List(3575, 5497), List(5662, 8727), List(1538, 5794), List(6123, 7624), List(9440, 11053), List(5460, 11252), List(4560, 9275), List(980, 1302), List(4183, 7073), List(6053, 6104), List(327, 3366), List(5769, 6345), List(6305, 6325), List(7444, 10570), List(1250, 6266), List(5587, 10246), List(6072, 9537), List(5826, 6098), List(5304, 6925), List(4731, 7063), List(510, 11337), List(5603, 7746), List(2218, 11538), List(1055, 8427), List(4551, 5375), List(6605, 6967), List(5607, 7865), List(620, 6220), List(6504, 9544), List(10514, 10685), List(1162, 9428), List(6220, 6752), List(6399, 8969), List(7266, 10806), List(113, 7328), List(2940, 3952), List(8208, 9222), List(517, 4937), List(5219, 7352), List(387, 2612), List(2076, 11431), List(2288, 3208), List(1006, 11517), List(2938, 10672), List(968, 8781), List(2155, 10034), List(3609, 6935), List(7504, 9816), List(2402, 7659), List(5227, 10626), List(1619, 7021), List(6142, 7219), List(994, 6969), List(2709, 8341), List(1501, 6211), List(4494, 10452), List(1874, 4507), List(2772, 5657), List(4670, 6736), List(5253, 8814), List(972, 5867), List(3269, 6463), List(7474, 8826), List(4357, 11120), List(5494, 8876), List(2488, 2865), List(1851, 5462), List(5777, 8410), List(483, 1919), List(2666, 5611), List(7459, 9642), List(200, 5014), List(7915, 8195), List(1144, 7263), List(2763, 8927), List(5657, 6773), List(328, 7643), List(6742, 7749), List(2566, 4626), List(109, 2617), List(575, 8274), List(3899, 5704), List(4737, 6803), List(2130, 7479), List(2722, 5139), List(2498, 3933), List(3678, 7398), List(226, 9968), List(5295, 8235), List(6692, 10264), List(412, 6940), List(5133, 9405), List(3760, 8928), List(1561, 5457), List(1681, 10477), List(2478, 4405), List(1115, 11005), List(1643, 11124), List(6156, 6470), List(3699, 8625), List(1976, 3605), List(7799, 9659), List(3494, 3682), List(2912, 4458), List(1405, 3789), List(4307, 6414), List(4959, 11295), List(8040, 8967), List(2863, 3815), List(2956, 9641), List(8193, 9182), List(1687, 9487), List(2113, 11581), List(1549, 3137), List(1557, 7162), List(1987, 6746), List(2552, 5212), List(357, 4923), List(680, 10272), List(984, 4267), List(2763, 3934), List(4437, 4551), List(2169, 9611), List(4529, 7523), List(10007, 10159), List(5588, 9530), List(3589, 6147), List(3532, 5613), List(7973, 9973), List(4999, 9889), List(7819, 9506), List(479, 6202), List(2380, 6798), List(1041, 11567), List(10019, 10169), List(3716, 11557), List(4836, 11588), List(342, 2706), List(4845, 5665), List(6663, 10168), List(9390, 9594), List(960, 8353), List(1242, 11449), List(7364, 7771), List(2604, 4597), List(3015, 6383), List(3318, 3940), List(5460, 6877), List(828, 10119), List(1444, 1757), List(1727, 7707), List(4304, 10572), List(1322, 9873), List(4741, 4911), List(10819, 11484), List(2531, 9195), List(10529, 11156), List(6673, 9701), List(6910, 8890), List(6731, 7427), List(3620, 3874), List(2188, 9206), List(7756, 8352), List(5412, 9438), List(6747, 11343), List(1305, 1948), List(5005, 8525), List(3738, 11450), List(3979, 8129), List(1866, 10094), List(2210, 7652), List(832, 2667), List(988, 9596), List(2177, 5260), List(1306, 8185), List(5062, 8278), List(3102, 4823), List(4132, 6092), List(181, 11193), List(1389, 6907), List(9042, 9210), List(6763, 8439), List(3038, 4249), List(2850, 10614), List(1260, 1774), List(2863, 4433), List(996, 2667), List(3021, 5019), List(3580, 6703), List(885, 6034), List(3614, 6287), List(3312, 11584), List(4140, 5579), List(5333, 10784), List(1739, 10295), List(2623, 7575), List(11140, 11444), List(1560, 8832), List(1028, 2555), List(4288, 4696), List(2576, 7759), List(375, 455), List(858, 9499), List(221, 6404), List(3296, 8048), List(1952, 8309), List(6814, 8727), List(1613, 2427), List(5005, 11103), List(4341, 5461), List(3544, 4363), List(5691, 8398), List(390, 11316), List(1642, 10712), List(7146, 8153), List(6425, 8393), List(671, 3607), List(6581, 8152), List(755, 2554), List(3251, 10907), List(1818, 6215), List(2962, 10804), List(10410, 11167), List(4118, 6328), List(4087, 4763), List(2784, 11441), List(1597, 3772), List(3281, 5831), List(6662, 10965), List(373, 9053), List(5553, 8060), List(4772, 8249), List(1281, 5229), List(2962, 7771), List(2623, 3387), List(689, 1153), List(5855, 8398), List(2056, 5225), List(717, 6584), List(5099, 9583), List(10171, 10777), List(10900, 11152), List(460, 4484), List(3357, 6765), List(6101, 8804), List(2334, 3634), List(2007, 7211), List(8328, 11290), List(6616, 7183), List(2010, 5230), List(4134, 6807), List(791, 10855), List(1766, 8253), List(8109, 9647), List(9869, 10038), List(2816, 10174), List(3750, 6817), List(1293, 8972), List(5212, 9995), List(1685, 11482), List(4739, 8085), List(8223, 9934), List(7851, 8076), List(4616, 6931), List(8064, 9123), List(321, 8058), List(8993, 9586), List(2033, 5749), List(1056, 1862), List(8313, 9827), List(1969, 8208), List(92, 8760), List(185, 8951), List(364, 4752), List(3328, 4091), List(1183, 10682), List(5135, 8435), List(1763, 6827), List(8249, 9253), List(5014, 10360), List(7686, 10079), List(3223, 3516), List(3042, 4636), List(3565, 6663), List(7405, 7585), List(8613, 9715), List(2194, 2849), List(1493, 8629), List(4201, 11011), List(3382, 7710), List(6305, 11212), List(6334, 9698), List(4539, 10252), List(4026, 4779), List(1760, 3496), List(1078, 2910), List(2066, 10369), List(10032, 10917), List(5491, 8605), List(285, 1961), List(10584, 11430), List(2332, 8798), List(2647, 7089), List(9364, 10414), List(3731, 4457), List(6625, 9473), List(3584, 11577), List(2550, 7156), List(6070, 8662), List(10488, 11318), List(7057, 8349), List(343, 8705), List(4, 9239), List(2131, 4728), List(5277, 9965), List(3107, 11396), List(2544, 9970), List(4101, 5838), List(235, 7859), List(3633, 10688), List(54, 5569), List(5532, 8205), List(389, 7545), List(1755, 2347), List(1634, 10688), List(379, 3824), List(133, 385), List(7228, 10274), List(1813, 11370), List(1529, 5949), List(476, 724), List(1035, 2408), List(1656, 4970), List(2834, 8389), List(2089, 8235), List(33, 154), List(1060, 3404), List(3393, 3657), List(6008, 10012), List(1524, 8234), List(7945, 9511), List(901, 2593), List(7067, 9767), List(493, 1078), List(1614, 8127), List(864, 3465), List(494, 2434), List(4291, 8944), List(3910, 9252), List(171, 1966), List(1301, 6849), List(2861, 7152), List(1419, 4626), List(256, 1515), List(5868, 6595), List(4159, 9175), List(2037, 6890), List(1014, 10175), List(1092, 5170), List(2442, 8107), List(1871, 4908), List(6548, 9710), List(5333, 6409), List(3614, 5295), List(3796, 7029), List(2184, 9919), List(835, 9836), List(7153, 10234), List(2764, 6064), List(4608, 9536), List(11066, 11442), List(9581, 10724), List(3755, 4372), List(291, 6181), List(4380, 10059), List(6804, 10430), List(7573, 8726), List(5581, 5733), List(3874, 9140), List(1231, 7907), List(3590, 9381), List(4366, 8848), List(171, 1511), List(12, 7116), List(5542, 5778), List(4266, 8617), List(2241, 6265), List(4727, 9766), List(6043, 6703), List(2428, 6091), List(3028, 3612), List(184, 5129), List(4301, 4639), List(5497, 9418), List(7220, 10651), List(248, 10217), List(2579, 3227), List(5228, 7658), List(3315, 6301), List(3507, 6471), List(2796, 10809), List(107, 9231), List(3226, 10393), List(1132, 5992), List(5342, 5693), List(3931, 5486), List(4648, 10008), List(2542, 6728), List(1231, 10135), List(326, 1398), List(166, 3395), List(1497, 7810), List(351, 2394), List(631, 11079), List(6977, 7109), List(163, 9513), List(5423, 10758), List(1727, 4300), List(1658, 2251), List(3316, 9505), List(1496, 8339), List(6707, 8911), List(5795, 9583), List(5394, 8485), List(8651, 11109), List(8071, 9302), List(218, 10351), List(6045, 6725), List(123, 665), List(6414, 8285), List(7534, 8316), List(316, 10105), List(523, 1538), List(8113, 10652), List(10009, 10904), List(2113, 3181), List(578, 11044), List(4845, 7869), List(7186, 7983), List(7962, 8204), List(1792, 10710), List(2286, 4829), List(2015, 10193), List(3777, 7247), List(5272, 6401), List(1822, 9798), List(4841, 7346), List(1847, 5132), List(6291, 9009), List(8577, 9416), List(3615, 5384), List(5137, 9367), List(402, 8724), List(3300, 7443), List(3448, 3931), List(4695, 9399), List(5285, 6232), List(7117, 8943), List(4176, 10497), List(8648, 10006), List(2478, 10260), List(8046, 8625), List(2669, 6795), List(6502, 6546), List(4031, 4107), List(266, 2016), List(1661, 10388), List(348, 10716), List(6617, 8189), List(5237, 8793), List(6892, 10114), List(130, 8544), List(8, 445), List(4584, 10857), List(821, 3931), List(480, 10054), List(3312, 7022), List(2689, 7797), List(695, 4758), List(1940, 10153), List(7406, 11274), List(7447, 11275), List(711, 8674), List(1908, 11369), List(2211, 8172), List(5292, 6598), List(3210, 3712), List(1856, 4039), List(2415, 5723), List(7567, 9098), List(272, 4813), List(5592, 6109), List(4105, 10980), List(2421, 5888), List(929, 10415), List(5036, 5073), List(1758, 9516), List(4182, 9887), List(5300, 9091), List(3228, 11057), List(4154, 7839), List(3596, 9009), List(4305, 8008), List(7474, 8533), List(975, 10009), List(7754, 10802), List(8191, 10803), List(2057, 6550), List(4030, 8712), List(7657, 10869), List(475, 8905), List(8534, 11142), List(1034, 10589), List(8964, 10726), List(2305, 10035), List(4454, 7727), List(4320, 5283), List(2005, 9743), List(89, 2453), List(5324, 7583), List(2984, 10323), List(317, 4532), List(3111, 5180), List(5535, 5551), List(9609, 10649), List(5156, 8938), List(5792, 6116), List(212, 9619), List(4966, 6562), List(1016, 8855), List(2079, 8352), List(4407, 8261), List(2734, 9744), List(1576, 6977), List(8016, 8304), List(2811, 7520), List(2899, 7367), List(1608, 5734), List(3117, 8758), List(1687, 3583), List(3084, 6366), List(327, 8229), List(141, 4841), List(6972, 9961), List(6165, 8175), List(4515, 4946), List(5633, 10566), List(3742, 4996), List(3367, 3621), List(7563, 9648), List(3107, 4256), List(1370, 8198), List(3429, 10134), List(1557, 1608), List(3164, 8173), List(831, 1504), List(5719, 7307), List(2455, 2758), List(581, 6991), List(5381, 10695), List(6434, 8750), List(964, 10893), List(3321, 9288), List(802, 6401), List(3001, 3456), List(4188, 4709), List(2629, 8014), List(449, 2341), List(5366, 8882), List(5068, 9417), List(8875, 9475), List(3850, 11480), List(6020, 10803), List(3215, 10740), List(7473, 9731), List(1525, 8866), List(8531, 8884), List(3205, 7019), List(5230, 9371), List(8652, 10342), List(5940, 11224), List(1246, 6418), List(2519, 6691), List(939, 11371), List(4201, 8677), List(1145, 8995), List(832, 4334), List(933, 11556), List(3894, 11378), List(4692, 8914), List(1328, 1505), List(3351, 7194), List(3454, 3909), List(639, 10328), List(9396, 11375), List(1516, 4185), List(3135, 5849), List(6808, 7597), List(1013, 3564), List(6116, 6323), List(8110, 9362), List(8476, 11405), List(6707, 6764), List(1258, 6778), List(3443, 7133), List(979, 7363), List(263, 7947), List(9879, 10970), List(8814, 10646), List(1291, 1973), List(3206, 6439), List(3421, 7559), List(5544, 7036), List(1160, 3210), List(9157, 10985), List(5540, 9546), List(6142, 7894), List(2178, 2964), List(1706, 3154), List(4265, 9577), List(7375, 8741), List(6162, 6267), List(8030, 10133), List(6158, 8777), List(3228, 4104), List(810, 5433), List(10951, 11310), List(397, 9990), List(458, 4227), List(1111, 5546), List(37, 1726), List(7230, 11396), List(10129, 10340), List(7104, 8813), List(4058, 10573), List(4767, 9572), List(6917, 10118), List(635, 5967), List(1996, 9093), List(38, 1547), List(1706, 2349), List(1898, 8935), List(5265, 10199), List(3914, 7037), List(273, 1040), List(4198, 10179), List(2111, 6949), List(3159, 5414), List(2546, 6877), List(7021, 10067), List(2315, 3746), List(1256, 7374), List(1846, 4207), List(9812, 11171), List(7203, 8768), List(484, 8026), List(1029, 5116), List(1058, 10772), List(2495, 9167), List(6099, 9620), List(2549, 9403), List(10119, 11449), List(4518, 7659), List(2677, 7868), List(3983, 4871), List(1708, 8006), List(92, 4361), List(10360, 11511), List(2860, 3788), List(1244, 6559), List(9539, 11547), List(3319, 8274), List(4939, 6376), List(1448, 3356), List(1262, 4886), List(484, 3838), List(2466, 9526), List(2311, 6205), List(5714, 6372), List(4406, 9296), List(4838, 9707), List(8322, 11556), List(3064, 4722), List(7890, 8893), List(8387, 9699), List(574, 3731), List(1909, 7888), List(5744, 8466), List(6983, 9909), List(4777, 5267), List(6946, 10781), List(3610, 4666), List(4764, 9943), List(781, 799), List(8402, 9226), List(4823, 10523), List(3020, 4800), List(4328, 7511), List(498, 5025), List(6657, 6864), List(5655, 11026), List(6462, 9806), List(2386, 3881), List(920, 3213), List(1360, 9901), List(2723, 3274), List(4345, 7865), List(1265, 6631), List(205, 7405), List(10357, 10408), List(863, 6062), List(3258, 7193), List(2258, 8018), List(8287, 8313), List(5363, 11002), List(7259, 11254), List(3995, 7459), List(2725, 10113), List(595, 10219), List(1603, 3593), List(3363, 10400), List(2196, 10523), List(381, 9701), List(6286, 7486), List(7280, 9098), List(4611, 8896), List(3016, 3122), List(4053, 7814), List(6632, 7342), List(1242, 7936), List(4330, 9785), List(4755, 9025), List(11262, 11574), List(4220, 5483), List(7528, 8796), List(1205, 8808), List(8873, 11389), List(7027, 11254), List(4439, 9728), List(3792, 5945), List(5750, 7075), List(2672, 5914), List(3006, 5036), List(6207, 8482), List(5069, 7091), List(355, 3161), List(976, 5723), List(5495, 9185), List(3432, 4097), List(9718, 11373), List(1664, 7228), List(4931, 10540), List(5301, 9319), List(3059, 8430), List(4334, 6120), List(8668, 10583), List(1598, 8860), List(1407, 5128), List(285, 8434), List(352, 10410), List(388, 5903), List(3552, 6084), List(5427, 11121), List(3651, 9473), List(4265, 5202), List(999, 11160), List(8724, 10111), List(6620, 9186), List(1205, 11036), List(4166, 4442), List(5511, 7035), List(960, 4035), List(497, 2813), List(1424, 8865), List(4761, 11418), List(6473, 9109), List(7469, 10794), List(262, 2946), List(2254, 2906), List(5970, 8488), List(3534, 4350), List(5068, 9848), List(1537, 3265), List(9945, 10574), List(3242, 3949), List(4215, 11100), List(2781, 8435), List(1850, 4893), List(8562, 8628), List(661, 6977), List(7944, 9747), List(6299, 6862), List(939, 2003), List(8564, 8674), List(5205, 5773), List(2736, 5659), List(688, 8019), List(4666, 11157), List(3607, 8369), List(3051, 3950), List(6254, 9721), List(2068, 5910), List(5619, 8981), List(3597, 11064), List(1425, 9416), List(8152, 10019), List(545, 8091), List(4466, 10695), List(1443, 9241), List(2625, 3734), List(2248, 7948), List(642, 4991), List(565, 3081), List(6703, 9705), List(4743, 5496), List(4146, 7492), List(10212, 11052), List(193, 10268), List(5138, 6025), List(2178, 3395), List(3215, 7333), List(8313, 10502), List(2284, 3791), List(1654, 9811), List(3951, 10407), List(4820, 10819), List(496, 628), List(1645, 5561), List(3613, 5127), List(6159, 8679), List(307, 8276), List(5498, 6718), List(1802, 7430), List(425, 5299), List(1012, 2615), List(3425, 5049), List(6061, 9275), List(8743, 9682), List(3165, 9848), List(3690, 6286), List(4259, 8658), List(7024, 11574), List(8449, 9235), List(3655, 7231), List(5003, 9341), List(4774, 7791), List(1785, 5921), List(444, 9863), List(1278, 3646), List(1909, 6896), List(2470, 2991), List(5649, 10620), List(1568, 4351), List(2618, 8524), List(3573, 3792), List(2080, 11100), List(1366, 6095), List(2336, 6559), List(6818, 7510), List(5218, 10060), List(4350, 11004), List(5002, 8715), List(5372, 7494), List(6932, 7797), List(1149, 4525), List(240, 8878), List(5899, 10394), List(10381, 10591), List(2074, 8252), List(415, 773), List(2094, 2488), List(72, 10233), List(8862, 10262), List(227, 7892), List(4247, 9721), List(1415, 5583), List(1100, 10675), List(6112, 7654), List(4152, 10615), List(3438, 4856), List(2064, 7160), List(2807, 4989), List(374, 7538), List(56, 2533), List(3113, 8479), List(4422, 4999), List(342, 1584), List(1677, 3489), List(837, 5727), List(5379, 6729), List(6380, 9512), List(9119, 10453), List(5191, 7432), List(1172, 2041), List(2556, 10224), List(1271, 6184), List(8666, 9195), List(51, 1785), List(2822, 7899), List(2142, 8140), List(9518, 11101), List(1015, 6938), List(4754, 7808), List(1886, 4013), List(1571, 2689), List(239, 5219), List(2260, 10081), List(7363, 9430), List(1415, 7811), List(489, 4613), List(2843, 5743), List(5809, 6663), List(5270, 5631), List(2561, 10194), List(288, 4330), List(4954, 11252), List(1946, 5168), List(941, 2643), List(2558, 9896), List(722, 10449), List(3647, 8362), List(4428, 8173), List(5486, 7326), List(751, 2519), List(4329, 8167), List(8687, 10772), List(9029, 9755), List(7343, 11033), List(1248, 6708), List(10605, 10968), List(2331, 4605), List(1145, 6206), List(7590, 7877), List(4845, 7121), List(2078, 3378), List(4438, 8460), List(2685, 4352), List(5551, 11484), List(2414, 8962), List(6198, 8851), List(5963, 9708), List(3184, 8614), List(3178, 4635), List(8183, 11023), List(540, 7910), List(5984, 6798), List(6051, 8774), List(1837, 9331), List(5799, 11182), List(5973, 6639), List(2958, 9964), List(2397, 7453), List(4348, 5160), List(1180, 7489), List(1770, 10738), List(4485, 7875), List(9643, 10341), List(7031, 8421), List(9333, 9361), List(3977, 6156), List(3323, 7618), List(2149, 10734), List(559, 1894), List(5032, 10673), List(1269, 3747), List(1479, 4523), List(2506, 4363), List(1699, 2577), List(111, 980), List(1172, 10230), List(917, 2541), List(1174, 10276), List(1441, 7422), List(2781, 9671), List(8450, 9623), List(3025, 10031), List(2376, 5421), List(3282, 11350), List(4550, 4863), List(3270, 3419), List(2841, 4437), List(2495, 3800), List(535, 9013), List(3621, 7783), List(8060, 11316), List(6857, 9530), List(10047, 10932), List(126, 11437), List(332, 4897), List(2381, 5391), List(9548, 10430), List(6437, 7631), List(5566, 10556), List(3911, 6983), List(3047, 11079), List(1235, 9774), List(1134, 3306), List(6887, 7867), List(7117, 10773), List(1356, 11232), List(1731, 11109), List(487, 9322), List(3116, 5961), List(271, 7223), List(7539, 8961), List(4746, 11167), List(2346, 2522), List(4997, 8534), List(2119, 4051), List(317, 3434), List(3064, 9154), List(4860, 5038), List(1227, 9482), List(718, 7161), List(7533, 7611), List(721, 10842), List(1153, 7089), List(2643, 5899), List(4198, 9268), List(6076, 8160), List(3447, 10797), List(1874, 10232), List(7614, 10424), List(2452, 9714), List(1108, 4313), List(746, 9559), List(684, 2265), List(522, 3435), List(5993, 11316), List(4226, 7502), List(671, 6941), List(2706, 9981), List(552, 9693), List(2911, 7003), List(514, 9209), List(270, 6597), List(2105, 8825), List(5116, 8010), List(114, 9467), List(3942, 11126), List(1604, 4113), List(7643, 9260), List(1729, 9477), List(7429, 10994), List(1156, 3199), List(476, 9856), List(6059, 10034), List(7038, 9860), List(3557, 8282), List(7292, 7498), List(2839, 5787), List(5172, 6040), List(589, 10672), List(6537, 9285), List(625, 3913), List(7911, 10364), List(654, 2399), List(3360, 8118), List(873, 7398), List(1991, 10766), List(9582, 11437), List(586, 10751), List(4660, 9433), List(7339, 11077), List(4842, 8915), List(8147, 9301), List(8177, 10641), List(7523, 9851), List(789, 3913), List(1313, 6542), List(2443, 7261), List(795, 5613), List(2255, 7964), List(412, 11510), List(11243, 11418), List(3407, 3746), List(1745, 6172), List(695, 11044), List(2397, 3883), List(4055, 11137), List(3542, 9074), List(2924, 3777), List(713, 5207), List(4259, 7934), List(6779, 8013), List(5345, 6102), List(121, 4514), List(4386, 11092), List(3537, 4916), List(610, 11094), List(1665, 3560), List(544, 10474), List(2142, 6343), List(2106, 4434), List(1575, 4017), List(2377, 3207), List(4529, 6832), List(11251, 11255), List(2872, 9602), List(2624, 9500), List(2166, 7868), List(9069, 11171), List(286, 2487), List(3995, 6898), List(3517, 3890), List(6517, 9302), List(5609, 9716), List(2338, 2498), List(1631, 11496), List(1912, 10203), List(1279, 10290), List(3773, 11400), List(412, 7672), List(4106, 11051), List(4706, 8572), List(6941, 7536), List(3921, 10517), List(10392, 11157), List(2481, 4654), List(6402, 7258), List(10827, 11085), List(1425, 10465), List(2110, 4152), List(988, 3294), List(1418, 9294), List(2010, 6954), List(1702, 2637), List(2847, 10080), List(2252, 6487), List(7145, 8470), List(1102, 3581), List(5659, 9779), List(8789, 11130), List(386, 1913), List(2695, 4024), List(8518, 9324), List(10252, 10746), List(1164, 7842), List(1446, 10938), List(2468, 10434), List(2411, 7648), List(2032, 11035), List(690, 5707), List(2995, 3912), List(4858, 8188), List(4328, 4990), List(1781, 10635), List(2249, 5785), List(147, 1523), List(2110, 2997), List(5265, 6068), List(4179, 4867), List(4788, 5914), List(4134, 7376), List(58, 7867), List(2487, 8582), List(4858, 5155), List(2304, 9629), List(7378, 7486), List(4764, 11155), List(1741, 4039), List(5976, 7742), List(2676, 8454), List(4417, 11047), List(1363, 8028), List(8646, 10798), List(10542, 11050), List(1366, 8299), List(2364, 6647), List(335, 10969), List(1450, 10656), List(1042, 9141), List(4347, 8773), List(3069, 11539), List(7793, 11269), List(1224, 7842), List(1745, 6790), List(3204, 10451), List(98, 826), List(650, 1339), List(10456, 10875), List(4071, 9255), List(3706, 8568), List(4322, 6622), List(896, 8161), List(3518, 8517), List(2729, 7310), List(888, 1103), List(5497, 7491), List(5029, 5171), List(3788, 9317), List(44, 6605), List(5532, 9929), List(2628, 4225), List(5406, 10756), List(1294, 5174), List(7071, 7877), List(7110, 7805), List(6487, 8580), List(10377, 11117), List(8220, 9777), List(4579, 10196), List(1561, 9840), List(432, 5559), List(7787, 10649), List(2467, 9353), List(6908, 7297), List(5703, 11100), List(9550, 10557), List(2391, 3127), List(281, 9527), List(1122, 3727), List(3670, 7352), List(939, 10436), List(3428, 11202), List(641, 6837), List(5446, 5967), List(1356, 1864), List(7806, 8797), List(7339, 10085), List(6181, 9570), List(830, 5955), List(1410, 2100), List(833, 10390), List(3744, 5961), List(473, 11575), List(1068, 8752), List(4461, 8231), List(1539, 1921), List(7137, 11075), List(4871, 10546), List(5211, 6450), List(436, 8660), List(2829, 8964), List(258, 3635), List(192, 5267), List(4046, 5895), List(6532, 7144), List(1895, 5124), List(778, 8774), List(831, 8408), List(8869, 9768), List(901, 6895), List(2792, 6803), List(118, 10421), List(1298, 10503), List(6688, 11040), List(2667, 11238), List(241, 8542), List(3316, 5268), List(1171, 5443), List(4063, 9632), List(1880, 4442), List(2934, 6105), List(7770, 10964), List(480, 7777), List(6364, 11101), List(1851, 8585), List(6427, 8417), List(598, 8964), List(5357, 8503), List(3251, 5223), List(2711, 7753), List(900, 2886), List(691, 2712), List(3242, 10772), List(6750, 10763), List(6722, 8715), List(3308, 8359), List(402, 5992), List(4323, 7842), List(1269, 1413), List(740, 5233), List(1330, 2066), List(3016, 4952), List(270, 2840), List(4819, 5013), List(834, 4868), List(5536, 7283), List(7220, 9342), List(448, 11248), List(5499, 8155), List(7462, 8875), List(9222, 10020), List(3778, 6214), List(7518, 9938), List(2727, 7451), List(136, 6408), List(4905, 10799), List(196, 797), List(2565, 7123), List(3683, 6327), List(4211, 6446), List(8343, 8516), List(4298, 9074), List(962, 2959), List(2336, 10454), List(720, 6809), List(8182, 11042), List(615, 2851), List(3142, 6353), List(7692, 11380), List(1185, 1661), List(498, 11311), List(1830, 9535), List(7931, 10642), List(1487, 8415), List(6848, 9712), List(1208, 6748), List(6598, 9537), List(296, 3256), List(454, 11012), List(2175, 9166), List(981, 6742), List(862, 9494), List(84, 8446), List(3929, 5578), List(9135, 9970), List(10317, 10879), List(4984, 7843), List(6613, 10195), List(5147, 9527), List(4951, 5451), List(2530, 3099), List(2215, 8191), List(4338, 6914), List(3653, 6811), List(6576, 10313), List(1597, 2894), List(561, 8226), List(6765, 6802), List(1310, 2837), List(1334, 7395), List(4229, 8849), List(3415, 6646), List(2556, 4670), List(123, 4967), List(3941, 5938), List(1829, 10757), List(10194, 10822), List(180, 4720), List(10195, 11424), List(5463, 10298), List(3166, 6292), List(10000, 10956), List(3529, 3900), List(4031, 9214), List(6493, 7403), List(6400, 11376), List(285, 11337), List(720, 11265), List(6177, 8860), List(3586, 7817), List(2559, 3813), List(619, 7426), List(1186, 3309), List(64, 6615), List(4267, 7397), List(4671, 5760), List(521, 3858), List(1646, 4233), List(658, 10737), List(6933, 7301), List(4973, 6098), List(5449, 6027), List(1110, 1220), List(3751, 5790), List(3628, 6888), List(1976, 6996), List(4780, 9086), List(3789, 5493), List(7025, 7240), List(1758, 11240), List(5937, 5966), List(11276, 11476), List(1102, 3207), List(5365, 8958), List(4780, 6053), List(6242, 9231), List(265, 3464), List(4184, 10903), List(2410, 5918), List(4151, 9265), List(9660, 10460), List(1260, 1514), List(8531, 9185), List(5303, 11463), List(5389, 10483), List(1629, 9490), List(2558, 9953), List(1503, 11071), List(7633, 11418), List(4388, 5421), List(2834, 8316), List(2022, 6940), List(427, 9834), List(5998, 8497), List(3645, 10975), List(896, 2176), List(5842, 7203), List(2208, 2377), List(6786, 9452), List(9525, 10393), List(711, 6560), List(5351, 8097), List(458, 1950), List(3262, 4040), List(3599, 6843), List(2350, 4712), List(2351, 8320), List(4412, 10329), List(171, 1893), List(8214, 10767), List(3156, 6273), List(1268, 10800), List(368, 8823), List(3621, 8295), List(2692, 5580), List(7795, 8339), List(3439, 9944), List(4206, 5915), List(1155, 9583), List(2626, 4179), List(5024, 11243), List(1590, 8757), List(2037, 10200), List(1373, 10974), List(7316, 11495), List(1311, 9342), List(4671, 7183), List(4789, 11376), List(2249, 11022), List(6440, 11043), List(4883, 8759), List(4475, 6490), List(7432, 9576), List(5045, 6054), List(3857, 10992), List(4716, 6552), List(777, 9758), List(3795, 10114), List(5679, 8851), List(2131, 9461), List(1293, 1946), List(3476, 5638), List(2667, 3025), List(5029, 8180), List(5524, 8159), List(7554, 10855), List(971, 9250), List(6081, 6764), List(3906, 7851), List(3242, 8625), List(6599, 8447), List(1232, 7305), List(7667, 8288), List(2715, 4944), List(2837, 10791), List(3998, 10823), List(6262, 9027), List(8603, 9141), List(3842, 9529), List(8806, 9500), List(7603, 7714), List(1459, 9189), List(530, 2310), List(3833, 5279), List(1304, 5868), List(2178, 2460), List(4975, 6789), List(2263, 3507), List(4852, 7887), List(924, 9030), List(3291, 10365), List(6498, 7210), List(7890, 9649), List(4538, 10171), List(6212, 11542), List(587, 9610), List(9639, 10605), List(1759, 3415), List(4444, 7503), List(772, 8609), List(6252, 7908), List(445, 5770), List(6086, 9336), List(1294, 3995), List(8200, 10979), List(9377, 11544), List(8356, 11492), List(1135, 3184), List(9283, 11128), List(5016, 8641), List(4121, 11172), List(7784, 8068), List(8405, 11384), List(2340, 9180), List(1756, 9129), List(4920, 5146), List(4235, 11459), List(1303, 3707), List(9618, 10825), List(7376, 7684), List(3114, 5541), List(2369, 4633), List(2365, 7143), List(8860, 8931), List(2700, 9873), List(4358, 10711), List(3069, 5017), List(8423, 11559), List(620, 11197), List(9569, 10559), List(3719, 6065), List(11079, 11499), List(3256, 4843), List(5907, 10101), List(5470, 9346), List(7123, 9840), List(1970, 2830), List(3188, 3396), List(822, 7167), List(3003, 10032), List(860, 6870), List(700, 8867), List(5930, 7991), List(2131, 11234), List(2371, 9940), List(9033, 10148), List(1213, 7173), List(4485, 11583), List(4665, 10238), List(2805, 3227), List(1127, 11536), List(432, 3575), List(1063, 7579), List(9681, 11500), List(7874, 10539), List(3163, 10290), List(6499, 9989), List(6160, 6359), List(3570, 8170), List(1118, 10669), List(6363, 9347), List(138, 5730), List(578, 10166), List(5115, 10824), List(8705, 10817), List(3564, 5322), List(4400, 5594), List(5375, 8654), List(5606, 11061), List(3938, 7226), List(8377, 10759), List(5491, 9768), List(2058, 4474), List(3552, 4157), List(2511, 8391), List(243, 619), List(5502, 10307), List(3009, 5635), List(9242, 9867), List(4006, 4512), List(2364, 8314), List(3415, 10460), List(2443, 6163), List(2634, 3479), List(213, 1127), List(7033, 8337), List(5498, 9784), List(4937, 5021), List(2946, 8669), List(2745, 4249), List(4090, 6842), List(3305, 8787), List(8630, 11181), List(7016, 9861), List(3627, 8249), List(1525, 3987), List(7907, 10971), List(7064, 9528), List(873, 5495), List(3452, 8433), List(6607, 11504), List(2894, 3941), List(1397, 1708), List(2243, 2668), List(1300, 8191), List(3609, 3886), List(3509, 5934), List(5138, 8286), List(527, 5235), List(9393, 10012), List(3848, 9537), List(5415, 10257), List(2731, 9023), List(6396, 6746), List(2639, 9434), List(4659, 5026), List(3688, 10753), List(6988, 7789), List(4245, 9358), List(3156, 4476), List(363, 6682), List(4458, 10405), List(9437, 11408), List(8568, 8744), List(1216, 1673), List(5453, 8455), List(3371, 9733), List(1406, 8186), List(884, 9013), List(2407, 3799), List(1097, 10060), List(2000, 11554), List(5572, 6834), List(5360, 9395), List(3705, 5822), List(7435, 11110), List(1898, 11277), List(100, 1734), List(9363, 9365), List(10987, 11373), List(218, 10091), List(3977, 7449), List(9763, 10238), List(1427, 2243), List(2452, 9584), List(5344, 7357), List(5750, 8799), List(10101, 10233), List(5997, 8676), List(1205, 7499), List(265, 6123), List(4869, 8003), List(4559, 7023), List(5465, 5782), List(200, 4193), List(3663, 5165), List(5924, 10268), List(9604, 9777), List(2469, 6905), List(8637, 10742), List(5184, 10458), List(4213, 9769), List(3027, 11370), List(4930, 5623), List(6327, 10658), List(322, 9259), List(1991, 10286), List(1494, 3064), List(2828, 11160), List(27, 2171), List(687, 11077), List(2249, 11453), List(2829, 7598), List(4885, 5099), List(2794, 11549), List(2419, 9420), List(877, 4004), List(1247, 2783), List(1023, 3829), List(3947, 10185), List(10170, 11477), List(1204, 3086), List(1632, 1843), List(2659, 5847), List(2017, 2408), List(8538, 8827), List(5060, 10176), List(1781, 5349), List(4346, 5171), List(3353, 7167), List(1691, 8839), List(4344, 8508), List(8235, 8237), List(9226, 9578), List(827, 9902), List(3215, 9862), List(8535, 11158), List(2938, 4858), List(4762, 9206), List(5758, 7481), List(3748, 10325), List(1338, 1746), List(2812, 6439), List(1628, 11119), List(967, 9158), List(2887, 7552), List(1644, 2203), List(1239, 10785), List(6815, 9792), List(7503, 7914), List(7776, 9012), List(400, 3799), List(2353, 3831), List(8206, 8596), List(7407, 10835), List(1356, 8337), List(86, 5329), List(6705, 8873), List(7836, 10194), List(4720, 7051), List(2688, 3528), List(10437, 11201), List(410, 730), List(698, 10030), List(6147, 7010), List(2307, 3836), List(1539, 8394), List(9561, 11503), List(1037, 10627), List(5729, 8190), List(5385, 8380), List(7606, 7638), List(7506, 10440), List(1470, 9728), List(2932, 6490), List(318, 3743), List(6068, 11039), List(277, 1490), List(1051, 7300), List(490, 2537), List(1742, 4185), List(9460, 11047), List(4797, 7806), List(561, 11048), List(52, 8727), List(7309, 10276), List(808, 10925), List(4187, 8816), List(3597, 5567), List(675, 11335), List(1143, 7239), List(7311, 10322), List(7390, 8171), List(1015, 7239), List(801, 6721), List(2847, 3534), List(4906, 11132), List(5868, 7571), List(5281, 11009), List(4557, 4562), List(6272, 8186), List(6774, 9336), List(2411, 4135), List(4083, 4679), List(9810, 10271), List(6412, 7442), List(5515, 9146), List(4331, 8164), List(2284, 4710), List(4142, 8642), List(1901, 9109), List(5473, 6641), List(1899, 8282), List(896, 2420), List(1859, 8883), List(1026, 8128), List(6222, 7668), List(10642, 11151), List(2140, 7590), List(3749, 4402), List(5961, 6580), List(959, 3873), List(5434, 7063), List(9360, 10011), List(363, 8723), List(722, 3179), List(1291, 5551), List(83, 3421), List(35, 6413), List(819, 6495), List(6173, 10785), List(2587, 4495), List(1410, 3930), List(7421, 9281), List(10217, 11510), List(4245, 5333), List(2800, 5542), List(8714, 10960), List(4822, 7596), List(5914, 9743), List(2048, 7600), List(3455, 11071), List(2419, 9233), List(6617, 10425), List(3456, 7509), List(242, 9493), List(1171, 9956), List(923, 6444), List(3655, 3962), List(1915, 10639), List(5215, 10681), List(8392, 8815), List(2778, 7072), List(1941, 8827), List(2230, 2514), List(1130, 10305), List(6548, 8726), List(4705, 5102), List(381, 6245), List(4093, 10173), List(1130, 7272), List(3733, 8325), List(7186, 8609), List(149, 2862), List(2169, 4870), List(1812, 10460), List(2182, 9239), List(3851, 10266), List(1425, 7570), List(6349, 8866), List(5222, 7664), List(3350, 5554), List(643, 9032), List(1013, 8565), List(4409, 7561), List(8806, 10094), List(6502, 8327), List(1891, 5276), List(4100, 10189), List(2644, 10209), List(6001, 10785), List(6309, 8686), List(332, 2165), List(4853, 8706), List(4595, 7916), List(13, 5603), List(5272, 7377), List(10039, 10187), List(3711, 9855), List(2037, 2068), List(2503, 7725), List(1104, 8279), List(2193, 8997), List(44, 9053), List(4022, 7273), List(2587, 5918), List(7999, 10186), List(6204, 10740), List(6302, 7865), List(1749, 8202), List(7902, 10253), List(1751, 2613), List(5505, 6043), List(4484, 5991), List(3701, 9517), List(4518, 4821), List(743, 2796), List(1553, 8263), List(1584, 7576), List(4164, 9958), List(1301, 4255), List(301, 11496), List(5664, 7204), List(1858, 5112), List(3482, 7120), List(483, 10978), List(2766, 5452), List(2252, 2787), List(5186, 10585), List(2127, 7222), List(3281, 6083), List(8784, 10469), List(826, 8284), List(3213, 8019), List(534, 7129), List(7468, 9745), List(3268, 8480), List(4085, 8702), List(5764, 10417), List(7099, 7404), List(4743, 9611), List(3960, 6721), List(3538, 7028), List(6075, 11218), List(3510, 4980), List(992, 2695), List(10169, 10552), List(1609, 7767), List(6024, 6742), List(1742, 6576), List(6374, 8252), List(7676, 10017), List(5923, 10073), List(5900, 8369), List(6402, 9519), List(1539, 9630), List(4870, 8231), List(10219, 10265), List(8137, 11543), List(6431, 11388), List(6178, 10942), List(2563, 6166), List(7599, 7703), List(2710, 8845), List(5862, 5983), List(7816, 9623), List(4165, 8600), List(4385, 6654), List(3053, 9184), List(2210, 5489), List(3242, 9837), List(4166, 5792), List(3078, 10180), List(3854, 3985), List(5123, 7522), List(11017, 11534), List(2237, 6531), List(3950, 7830), List(1385, 1592), List(3439, 8846), List(6303, 8735), List(3655, 7158), List(5062, 6465), List(1294, 4857), List(599, 4066), List(5311, 7169), List(9406, 10892), List(9314, 11303), List(1377, 3579), List(2564, 4832), List(1346, 2014), List(6984, 9069), List(1220, 5847), List(6167, 8847), List(7983, 10271), List(4576, 6198), List(8534, 11313), List(1474, 10278), List(4084, 9119), List(6529, 10367), List(1639, 7901), List(4603, 11404), List(7865, 8710), List(3448, 8908), List(1963, 4026), List(8549, 10840), List(6899, 8365), List(5151, 8765), List(9371, 11406), List(4287, 6445), List(5193, 5204), List(401, 6279), List(4506, 10690), List(886, 3318), List(3848, 6748), List(8457, 8972), List(4625, 9823), List(8880, 10795), List(2691, 6835), List(3190, 4304), List(6698, 10711), List(5053, 7826), List(5423, 7359), List(450, 3138), List(3099, 7569), List(4451, 6445), List(3561, 9320), List(6563, 11425), List(5766, 10327), List(1220, 8425), List(5263, 9706), List(2668, 7009), List(6539, 10250), List(3387, 6696), List(1737, 3467), List(5283, 6194), List(426, 458), List(3824, 6697), List(5434, 10527), List(10012, 11186), List(55, 5618), List(6906, 8731), List(1307, 8020), List(2914, 7415), List(5130, 7083), List(6427, 7750), List(4849, 6841), List(6368, 11307), List(5284, 10933), List(3503, 11193), List(1471, 5418), List(1255, 10489), List(145, 4730), List(4966, 9311), List(441, 7532), List(1564, 11244), List(5795, 8412), List(7818, 9937), List(3931, 11081), List(438, 818), List(2559, 2878), List(7436, 10020), List(6730, 9040), List(5042, 10245), List(11086, 11572), List(1779, 2888), List(5846, 10979), List(650, 5023), List(3601, 4157), List(493, 7291), List(5006, 7555), List(3858, 5476), List(861, 2991), List(1986, 3366), List(5248, 7088), List(2662, 6389), List(2142, 3879), List(2880, 7780), List(247, 7235), List(3256, 10511), List(300, 4617), List(634, 3739), List(3820, 6123), List(386, 3637), List(1728, 2549), List(4240, 4265), List(580, 6886), List(1010, 5716), List(2846, 5917), List(984, 10911), List(2097, 3355), List(755, 5197), List(7888, 10652), List(734, 4320), List(470, 5213), List(6700, 9928), List(1434, 8114), List(1215, 9504), List(8756, 10812), List(5167, 10667), List(3558, 4029), List(2524, 10188), List(8521, 10945), List(7337, 9209), List(10461, 10715), List(248, 1020), List(555, 7364), List(3697, 3814), List(180, 1825), List(2981, 4398), List(1484, 8581), List(840, 4315), List(1769, 11194), List(618, 5434), List(458, 1015), List(6435, 7536), List(8150, 8908), List(5438, 9790), List(8540, 11345), List(4099, 11149), List(1081, 10039), List(10011, 10105), List(2046, 6749), List(1325, 10399), List(1576, 7766), List(84, 8129), List(2911, 5507), List(6276, 10108), List(4713, 9507), List(5702, 10021), List(8194, 10304), List(10025, 10161), List(3361, 9126), List(6351, 7434), List(4042, 6077), List(212, 2837), List(6199, 7794), List(4576, 9394), List(3394, 8485), List(2581, 9136), List(1141, 4404), List(4809, 8060), List(1017, 1894), List(5963, 7675), List(4872, 6130), List(665, 1442), List(2466, 10502), List(3499, 11288), List(1689, 4394), List(6107, 7050), List(217, 6163), List(3926, 10574), List(251, 4993), List(1710, 8654), List(5020, 8630), List(3055, 4831), List(2143, 5503), List(2901, 10780), List(4539, 5324), List(3078, 5000), List(1925, 9747), List(4012, 6561), List(4196, 9122), List(145, 10609), List(1557, 8008), List(1855, 5221), List(213, 9023), List(3873, 6402), List(2070, 2931), List(2019, 9759), List(1885, 7315), List(1814, 8603), List(7042, 10310), List(7288, 7333), List(4285, 8009), List(5777, 7646), List(4560, 9934), List(163, 11538), List(2276, 3157), List(5134, 6264), List(4177, 7917), List(2097, 4323), List(9719, 10723), List(7195, 7492), List(968, 7212), List(3805, 4524), List(1620, 4923), List(276, 5184), List(2208, 5093), List(2387, 7310), List(7286, 10239), List(3447, 3503), List(1427, 1495), List(4593, 8138), List(101, 7253), List(7356, 7975), List(5549, 7014), List(10323, 10995), List(984, 4308), List(5143, 5572), List(7512, 8488), List(4989, 5105), List(952, 5524), List(890, 4646), List(2616, 5453), List(10408, 10544), List(2223, 9888), List(2598, 4847), List(8200, 9239), List(3250, 6722), List(3996, 4068), List(9035, 10040), List(4104, 7573), List(2870, 10638), List(9931, 10363), List(5289, 5747), List(836, 4036), List(5939, 6795), List(5192, 5814), List(4233, 6640), List(699, 3923), List(51, 6331), List(1264, 3143), List(6735, 10270), List(11217, 11221), List(5743, 7206), List(6639, 7529), List(3864, 3925), List(2645, 10304), List(7039, 8402), List(5451, 6051), List(10244, 10836), List(3181, 10284), List(6734, 7766), List(720, 8533), List(2766, 5346), List(7468, 7761), List(1002, 1049), List(8376, 9599), List(2058, 3539), List(4236, 6133), List(4014, 8006), List(2267, 7096), List(85, 4760), List(4878, 8791), List(3137, 3946), List(3360, 6435), List(2880, 9016), List(10579, 10910), List(6116, 10763), List(1510, 1640), List(525, 8415), List(3783, 7477), List(5768, 10430), List(2471, 10659), List(945, 9940), List(4116, 7128), List(4054, 6250), List(4551, 6302), List(2973, 5393), List(660, 6546), List(5610, 6811), List(5950, 9131), List(620, 731), List(2308, 2909), List(2151, 5177), List(1991, 7928), List(4448, 5773), List(8123, 11354), List(2863, 7857), List(1803, 7877), List(3514, 6097), List(6432, 9255), List(675, 788), List(4317, 10393), List(2727, 7215), List(4750, 6488), List(7960, 10020), List(3383, 5799), List(2483, 7986), List(6275, 7736), List(7646, 11550), List(10313, 10925), List(6951, 10759), List(5679, 6924), List(2224, 9977), List(1730, 6436), List(629, 7209), List(4868, 7648), List(389, 552), List(4489, 4619), List(201, 7671), List(2398, 8063), List(6551, 10236), List(8848, 10832), List(4426, 10686), List(1621, 8371), List(1122, 7492), List(62, 1096), List(285, 6995), List(7623, 9472), List(2828, 4614), List(7652, 8712), List(3419, 10717), List(8493, 9328), List(3505, 10491), List(3608, 7206), List(7596, 11032), List(810, 9068), List(746, 11527), List(5132, 5600), List(4161, 9075), List(644, 4834), List(4661, 9398), List(2787, 4963), List(767, 2955), List(6088, 7105), List(1415, 3176), List(986, 7200), List(296, 6753), List(3844, 3891), List(8415, 9795), List(2785, 7519), List(7355, 7563), List(7492, 10278), List(5403, 10385), List(5140, 11503), List(1814, 10994), List(2437, 3803), List(1630, 2017), List(10030, 10936), List(379, 2442), List(7537, 9647), List(5381, 8532), List(3230, 7761), List(1211, 8607), List(4382, 9959), List(3298, 5421), List(7549, 9657), List(393, 8914), List(1955, 9290), List(9049, 9155), List(1322, 2961), List(353, 3099), List(4750, 11294), List(1548, 2715), List(4929, 7095), List(7267, 7692), List(2126, 4449), List(4679, 6166), List(324, 7996), List(5525, 7880), List(385, 2987), List(414, 3725), List(3547, 8757), List(1964, 6750), List(3400, 8707), List(2025, 10409), List(1491, 3305), List(7437, 8261), List(9066, 10613), List(4117, 10950), List(1022, 1514), List(2422, 10984), List(4920, 8830), List(6995, 10545), List(6496, 7414), List(3817, 6524), List(5816, 6901), List(235, 1134), List(2397, 6201), List(7089, 7928), List(1141, 7063), List(9893, 10018), List(5373, 6331), List(2358, 10410), List(3062, 8311), List(3693, 11561), List(7294, 8333), List(1139, 9619), List(3780, 7773), List(5244, 7614), List(1347, 3906), List(7637, 7918), List(3807, 5432), List(4500, 10314), List(4899, 9831), List(1852, 8737), List(7770, 10891), List(7820, 11008), List(1970, 6514), List(4827, 5232), List(8563, 11466), List(8718, 9125), List(2558, 10067), List(5856, 6276), List(2334, 3943), List(1253, 10256), List(8280, 8899), List(563, 3393), List(6318, 10279), List(7966, 10429), List(10987, 11056), List(4416, 10212), List(2513, 9543), List(3359, 8251), List(6122, 10340), List(5777, 10305), List(4060, 5854), List(1174, 7869), List(2943, 6094), List(2408, 2552), List(1571, 2055), List(6271, 10813), List(1885, 10324), List(2881, 7845), List(5080, 5654), List(4245, 8236), List(7758, 8571), List(9372, 9891), List(1755, 7999), List(7109, 8125), List(3213, 7271), List(5988, 10875), List(8116, 9972), List(7030, 8771), List(1154, 9472), List(1565, 11258), List(3893, 11167), List(27, 1854), List(4109, 5315), List(4720, 7189), List(3482, 8600), List(5189, 5947), List(5168, 11486), List(5778, 8971), List(4405, 5084), List(2949, 9268), List(2825, 7512), List(3754, 10227), List(11061, 11139), List(9194, 10127), List(3590, 9072), List(4304, 7661), List(10035, 10743), List(2597, 3898), List(4283, 6784), List(4272, 8877), List(2654, 7815), List(2747, 4596), List(37, 8557), List(5978, 5999), List(2785, 10715), List(1875, 8050), List(2656, 7861), List(10720, 11196), List(2498, 5023), List(1121, 2892), List(713, 7793), List(341, 5935), List(11211, 11433), List(3611, 7266), List(3829, 8657), List(3820, 4407), List(960, 4637), List(1858, 5787), List(1230, 6218), List(7403, 10399), List(3485, 11476), List(390, 9210), List(1711, 6491), List(4507, 8720), List(4194, 10475), List(6559, 8731), List(642, 9431), List(4121, 4520), List(547, 6161), List(573, 5130), List(5371, 10259), List(3912, 4346), List(7119, 7607), List(1699, 1943), List(9813, 11057), List(4341, 10121), List(11125, 11258), List(2557, 4448), List(4246, 6851), List(471, 4072), List(7134, 11298), List(2657, 11445), List(2939, 10377), List(3464, 6061), List(1899, 5387), List(3394, 4541), List(3767, 9253), List(9894, 10083), List(7224, 10410), List(1118, 1789), List(4566, 8145), List(6131, 8038), List(1182, 2713), List(1830, 7852), List(1226, 2261), List(7154, 11519), List(1351, 6871), List(1413, 8503), List(179, 7404), List(881, 4478), List(74, 2692), List(705, 6696), List(2532, 8309), List(1544, 4233), List(16, 9103), List(10752, 11403), List(10310, 11058), List(3746, 7975), List(6268, 10379), List(4401, 9367), List(7945, 9015), List(1027, 1270), List(1666, 8545), List(85, 6614), List(5162, 10404), List(2927, 5024), List(5167, 8496), List(7596, 11463), List(1024, 1349), List(4199, 5826), List(9450, 11489), List(1769, 5640), List(1392, 3438), List(6653, 9789), List(459, 5485), List(803, 9459), List(2252, 8268), List(1290, 5413), List(10701, 11414), List(2329, 10178), List(1384, 8458), List(988, 8458), List(322, 1989), List(7197, 7408), List(2000, 3479), List(2848, 5266), List(6327, 6771), List(822, 9859), List(158, 10633), List(3332, 11502), List(435, 553), List(2083, 2201), List(4333, 7115), List(4952, 9604), List(3553, 10158), List(7, 7431), List(1216, 10163), List(2202, 7750), List(7912, 9201), List(4008, 4322), List(8063, 9370), List(3292, 9070), List(5692, 6381), List(6380, 10919), List(5511, 8255), List(4542, 8393), List(707, 4809), List(6097, 7598), List(8273, 10119), List(2889, 11282), List(6714, 7008), List(5430, 5822), List(2350, 3834), List(4215, 8937), List(1821, 10660), List(2855, 8665), List(1974, 10902), List(8328, 10957), List(2380, 5928), List(7424, 11490), List(7675, 8857), List(6641, 8600), List(1221, 9352), List(6088, 10114), List(1064, 5204), List(873, 2226), List(214, 338), List(8606, 9366), List(2366, 4717), List(2345, 3840), List(7869, 8349), List(10279, 11266), List(9219, 11286), List(2184, 2202), List(498, 3480), List(2837, 7685), List(2575, 5241), List(3633, 4394), List(4968, 5545), List(1674, 10209), List(1426, 10107), List(1667, 6786), List(2797, 7505), List(1763, 6494), List(866, 8952), List(4937, 7363), List(4069, 8307), List(1046, 7607), List(6991, 8174), List(2409, 10025), List(2223, 11555), List(1970, 6945), List(2992, 9851), List(4122, 10570), List(6615, 8826), List(7195, 11387), List(2154, 8752), List(6986, 10459), List(5575, 10252), List(3489, 7624), List(1873, 10395), List(2991, 7347), List(3915, 9718), List(4083, 5330), List(4191, 8081), List(6159, 9899), List(5655, 8676), List(5257, 11259), List(4161, 10124), List(6492, 9550), List(6934, 10649), List(5026, 8882), List(1380, 2541), List(1957, 8938), List(6769, 11521), List(2003, 11565), List(6483, 8683), List(2969, 10375), List(9378, 10137), List(9815, 10892), List(1593, 3938), List(2964, 6998), List(5288, 10171), List(4668, 10463), List(819, 3763), List(4735, 5269), List(3214, 4894), List(3274, 11361), List(4478, 8087), List(3741, 7040), List(274, 2916), List(2083, 9585), List(4289, 4401), List(264, 11273), List(1523, 8430), List(7891, 8191), List(6332, 10742), List(7744, 8895), List(4805, 6388), List(1138, 11248), List(1973, 2250), List(3170, 4191), List(7671, 9356), List(6616, 7468), List(2409, 11448), List(6614, 6641), List(845, 1577), List(5653, 11558), List(1747, 10016), List(1621, 10843), List(4709, 6276), List(4113, 4710), List(5479, 8180), List(6074, 9521), List(2795, 4694), List(7538, 10116), List(752, 982), List(222, 9118), List(6971, 11200), List(5011, 9997), List(9307, 10970), List(1808, 6855), List(1668, 10258), List(4125, 8857), List(3467, 10577), List(681, 2620), List(8819, 9876), List(8007, 8500), List(4584, 9556), List(3147, 8128), List(2746, 7030), List(2689, 6496), List(4337, 6646), List(8659, 9594), List(1467, 6188), List(8760, 9646), List(10718, 10776), List(5171, 10255), List(4015, 4151), List(165, 10812), List(7572, 8922), List(10777, 11356), List(593, 8815), List(9842, 10324), List(7032, 10671), List(3789, 5501), List(6013, 11446), List(9557, 11094), List(3885, 8592), List(521, 1183), List(1202, 3796), List(8048, 10729), List(10983, 11582), List(6186, 10061), List(3314, 8776), List(2192, 7918), List(2311, 3668), List(6644, 10158), List(6422, 11277), List(5653, 6565), List(137, 1193), List(8321, 8794), List(3682, 10865), List(7362, 9620), List(700, 2996), List(2904, 7565), List(8783, 10545), List(992, 2646), List(9035, 11520), List(2428, 4603), List(1494, 7179), List(11177, 11424), List(1893, 10860), List(8219, 11119), List(4941, 6894), List(8557, 11114), List(2943, 9371), List(9708, 10458), List(3354, 3987), List(10645, 10782), List(8103, 9631), List(954, 3643), List(4500, 6370), List(3073, 11292), List(5124, 8449), List(2502, 8093), List(4307, 5975), List(5931, 7983), List(571, 9540), List(5500, 11180), List(1375, 8022), List(6175, 7562), List(633, 7385), List(3584, 6519), List(595, 11065), List(1380, 2704), List(2902, 5933), List(5225, 5498), List(1369, 4043), List(3373, 5518), List(6630, 8142), List(2435, 7221), List(2280, 10316), List(1093, 1893), List(594, 5178), List(1285, 8479), List(6755, 7090), List(4392, 8126), List(777, 9766), List(443, 4228), List(3048, 9141), List(398, 10901), List(188, 2955), List(6566, 7568), List(5568, 9220), List(366, 11363), List(5970, 6756), List(1572, 11168), List(4882, 11144), List(175, 1969), List(2260, 8536), List(4660, 5847), List(1544, 2704), List(1244, 8828), List(7994, 8883), List(6249, 8800), List(8140, 8708), List(1638, 6503), List(4217, 5277), List(815, 5712), List(9727, 10834), List(2909, 9332), List(2062, 11153), List(3655, 10842), List(386, 6703), List(8099, 8303), List(1435, 8022), List(621, 5065), List(2938, 11201), List(2690, 7689), List(4077, 9030), List(6128, 6187), List(1845, 9583), List(3402, 9615), List(629, 3428), List(5131, 10693), List(347, 9377), List(2589, 3850), List(1118, 2838), List(3822, 5478), List(360, 944), List(1792, 8417), List(6067, 8513), List(1358, 9091), List(7397, 10074), List(6712, 9971), List(5148, 8014), List(7775, 9468), List(2474, 5216), List(3651, 5781), List(2745, 3989), List(6418, 8743), List(1714, 3249), List(3523, 9918), List(3554, 5067), List(5042, 7968), List(5858, 10217), List(965, 4070), List(4304, 7450), List(5914, 11280), List(5236, 8184), List(10110, 10891), List(4580, 6567), List(1118, 2033), List(3258, 8307), List(10234, 10368), List(681, 4661), List(3040, 6135), List(9356, 9870), List(4464, 7331), List(4161, 7522), List(3250, 11048), List(1875, 6334), List(7293, 8165), List(543, 8110), List(416, 421), List(1318, 8106), List(3868, 6896), List(5586, 7785), List(11145, 11349), List(4428, 5018), List(7822, 10357), List(2862, 7152), List(2423, 10488), List(7624, 10372), List(5208, 8364), List(5067, 8159), List(4170, 10617), List(3105, 3877), List(250, 5205), List(2228, 6987), List(2257, 5473), List(5288, 10952), List(4844, 9026), List(2356, 9616), List(953, 6264), List(1980, 6104), List(6357, 6507), List(4252, 6081), List(955, 6310), List(5375, 5629), List(754, 1890), List(1279, 1711), List(2029, 2963), List(1375, 1419), List(1311, 6130), List(726, 3225), List(1940, 7055), List(1245, 2100), List(5176, 8802), List(2836, 7378), List(167, 11340), List(3982, 6378), List(1401, 6023), List(2089, 10561), List(2493, 11176), List(5695, 6923), List(2677, 6567), List(3477, 4930), List(3167, 10366), List(9428, 9476), List(4261, 9176), List(1766, 10847), List(749, 5279), List(1578, 10796), List(6256, 8653), List(4219, 8950), List(2138, 9672), List(897, 11566), List(708, 2245), List(481, 3020), List(5434, 9218), List(652, 4565), List(5340, 9556), List(4094, 10352), List(1356, 5849), List(8816, 10009), List(5244, 6061), List(4425, 9176), List(1033, 10299), List(5608, 7277), List(4892, 11271), List(8283, 10677), List(7789, 7890), List(2028, 8349), List(8535, 10898), List(4889, 10973), List(5076, 10799), List(6664, 6734), List(5599, 6410), List(4606, 8406), List(7006, 9881), List(654, 4237), List(2548, 3662), List(4196, 10228), List(705, 792), List(1704, 8410), List(8343, 11078), List(7317, 10682), List(2825, 3381), List(1357, 8302), List(1820, 3108), List(4414, 8586), List(5118, 6487), List(9111, 10657), List(921, 8903), List(7335, 9009), List(3754, 9479), List(4499, 7381), List(956, 11341), List(7238, 9076), List(2823, 5937), List(3817, 7549), List(4120, 4352), List(9748, 10719), List(5460, 6601), List(503, 9329), List(852, 10237), List(6883, 10605), List(547, 3185), List(7515, 11047), List(3802, 9146), List(2317, 4264), List(3086, 9730), List(841, 2908), List(5918, 7452), List(2491, 6137), List(1969, 6964), List(1160, 5105), List(5852, 6832), List(27, 3334), List(1176, 8267), List(2647, 3617), List(563, 10484), List(5632, 7997), List(3180, 10496), List(714, 3483), List(24, 9452), List(5077, 6432), List(1237, 3258), List(1023, 11408), List(8029, 9174), List(1088, 9551), List(3452, 11369), List(2263, 2873), List(4847, 6909), List(4496, 5928), List(2543, 5896), List(1075, 8565), List(2262, 3402), List(82, 4145), List(4404, 6339), List(2749, 3520), List(2064, 9079), List(4563, 10533), List(1270, 1836), List(6235, 11077), List(7365, 9544), List(2715, 6538), List(2689, 5317), List(7453, 9364), List(2749, 10286), List(374, 3391), List(804, 2221), List(3186, 9506), List(306, 8360), List(6699, 9841), List(3134, 8592), List(680, 10264), List(1029, 8166), List(2710, 6544), List(3546, 6816), List(2023, 9778), List(1581, 2263), List(5450, 11093), List(3855, 8325), List(1018, 3843), List(2389, 7657), List(1702, 10891), List(1366, 10942), List(984, 7642), List(8200, 9190), List(395, 1585), List(6339, 11376), List(2501, 4865), List(7889, 10991), List(6087, 8122), List(7766, 9837), List(6861, 7516), List(450, 4675), List(3562, 11082), List(7998, 8682), List(4114, 5179), List(4771, 7398), List(2242, 3823), List(5897, 11381), List(187, 2760), List(2186, 10307), List(508, 5030), List(1652, 9619), List(3297, 6088), List(4637, 8337), List(4635, 7510), List(960, 1929), List(9621, 9684), List(3327, 8182), List(495, 4044), List(7616, 7984), List(4849, 11411), List(6781, 11320), List(670, 2355), List(1208, 9578), List(239, 9716), List(7338, 9925), List(4602, 8501), List(3444, 5734), List(1701, 6478), List(1823, 8161), List(3637, 9512), List(6584, 11156), List(1137, 1417), List(1971, 7278), List(3932, 5673), List(8508, 9669), List(8513, 10013), List(1930, 8408), List(5481, 11479), List(3184, 4467), List(753, 1427), List(1849, 3316), List(1033, 3696), List(2717, 5755), List(9413, 11209), List(5014, 6351), List(7247, 9406), List(965, 4501), List(662, 4692), List(2460, 4409), List(619, 1612), List(2862, 5355), List(253, 10122), List(618, 4393), List(7751, 9848), List(8121, 9381), List(2386, 2393), List(5937, 6218), List(8125, 9500), List(8987, 10993), List(243, 6401), List(4045, 6839), List(4191, 5910), List(5166, 9724), List(1892, 5241), List(1383, 7084), List(1111, 4676), List(1167, 5739), List(4840, 9739), List(5093, 7933), List(9790, 10004), List(611, 7736), List(891, 10005), List(6242, 6450), List(3152, 4528), List(975, 8952), List(5997, 6619), List(5710, 7343), List(2664, 11355), List(1508, 5251), List(8626, 9674), List(102, 2382), List(4933, 7651), List(5583, 10951), List(1717, 8808), List(567, 10066), List(1688, 11453), List(6700, 8432), List(7436, 10752), List(5170, 6059), List(2840, 3071), List(3270, 9071), List(9084, 10902), List(3046, 7111), List(3421, 6234), List(458, 5585), List(6461, 11075), List(4977, 9047), List(1090, 6027), List(2139, 11510), List(2421, 10442), List(8515, 11132), List(979, 1500), List(3938, 7665), List(4032, 10710), List(1456, 11453), List(3006, 10314), List(6516, 11132), List(3221, 5772), List(5116, 8051), List(981, 11345), List(3185, 9498), List(6268, 10249), List(2368, 2860), List(715, 3497), List(4887, 9130), List(8588, 9516), List(690, 5130), List(2641, 5089), List(9215, 9614), List(302, 10683), List(2435, 10848), List(935, 4934), List(7399, 10819), List(1220, 7547), List(1497, 10299), List(931, 7444), List(2612, 9986), List(4819, 7656), List(1918, 5633), List(3886, 7451), List(7093, 10712), List(7857, 8664), List(6274, 7411), List(4257, 9084), List(3481, 9617), List(5031, 8478), List(3807, 7343), List(1019, 9893), List(787, 3908), List(2440, 10818), List(982, 10765), List(502, 11094), List(789, 10370), List(2341, 10058), List(8750, 9820), List(9002, 10795), List(2588, 4273), List(973, 9898), List(6441, 11092), List(1054, 2158), List(2999, 8688), List(3296, 6430), List(3521, 4828), List(2415, 8667), List(3597, 9576), List(6227, 9793), List(5873, 9295), List(1634, 1686), List(3507, 6650), List(4904, 8679), List(10461, 10642), List(7343, 10082), List(177, 2235), List(2945, 8078), List(8989, 9405), List(21, 7357), List(2784, 6440), List(2722, 5562), List(2316, 4874), List(3874, 8514), List(5026, 10712), List(8105, 8311), List(3952, 6892), List(935, 9390), List(6356, 10738), List(2829, 5809), List(5979, 8536), List(3952, 10275), List(1751, 9387), List(2933, 10296), List(3334, 4978), List(2926, 9125), List(2095, 2781), List(5013, 5939), List(1680, 10675), List(1613, 3037), List(2459, 10413), List(3020, 6508), List(3206, 5732), List(9897, 10842), List(3911, 6487), List(585, 1814), List(4788, 6760), List(2957, 7657), List(2178, 2257), List(4263, 11076), List(648, 10464), List(3571, 9802), List(2048, 6348), List(6647, 7130), List(2483, 5522), List(1387, 6639), List(7431, 11376), List(4317, 4896), List(2543, 6327), List(1323, 9098), List(146, 8533), List(5285, 10949), List(3729, 7355), List(825, 1651), List(1924, 7221), List(1201, 4382), List(1691, 4017), List(4841, 10908), List(719, 4638), List(8972, 10124), List(7633, 11483), List(6490, 9748), List(2099, 2499), List(2961, 3992), List(4174, 4214), List(2931, 5281), List(42, 1363), List(632, 8776), List(2060, 6708), List(9744, 9822), List(403, 2308), List(3829, 10568), List(7509, 9323), List(1332, 8406), List(9021, 10366), List(10203, 11275), List(4286, 5559), List(6660, 8065), List(2799, 4014), List(1458, 4546), List(1924, 9449), List(4782, 8392), List(869, 10567), List(1020, 8484), List(7355, 11515), List(7449, 11150), List(732, 4819), List(3106, 7325), List(7196, 10704), List(3290, 3470), List(6304, 7090), List(4554, 6663), List(5863, 8845), List(390, 5055), List(1187, 5399), List(4242, 11272), List(3639, 6283), List(1223, 4275), List(1257, 10275), List(254, 4413), List(438, 6974), List(61, 4772), List(6967, 11002), List(9028, 9601), List(3460, 8203), List(4396, 5673), List(7837, 10858), List(4160, 8614), List(6943, 9827), List(4228, 7028), List(1831, 2818), List(55, 7586), List(531, 9767), List(684, 10763), List(5560, 7881), List(2922, 7746), List(4345, 4580), List(1826, 5857), List(45, 6117), List(6650, 9955), List(4411, 6331), List(4688, 4919), List(3535, 8912), List(2127, 5970), List(1005, 5112), List(5544, 6597), List(1044, 11456), List(5179, 5910), List(7109, 10654), List(2806, 8510), List(7549, 10926), List(1844, 2649), List(388, 9839), List(1030, 6862), List(2988, 7992), List(311, 759), List(1539, 2767), List(4106, 4944), List(2116, 10692), List(5103, 5319), List(9899, 11533), List(3216, 7038), List(7123, 10710), List(3823, 11422), List(1464, 9948), List(10961, 11559), List(1233, 7571), List(3380, 10852), List(2542, 9753), List(7310, 7503), List(1911, 3470), List(4311, 4945), List(197, 9116), List(1262, 9440), List(7075, 7636), List(6426, 9442), List(1254, 1628), List(7490, 9541), List(8223, 8934), List(3865, 4077), List(4907, 9113), List(2216, 4456), List(2219, 8137), List(6320, 8642), List(6760, 8914), List(8403, 8720), List(4583, 6922), List(5445, 8415), List(7282, 10716), List(716, 4554), List(1024, 2455), List(1703, 11411), List(5595, 8359), List(5999, 6722), List(6649, 7770), List(6148, 10228), List(1511, 8208), List(4222, 7855), List(8991, 11492), List(6460, 10500), List(5162, 5444), List(545, 8994), List(3401, 11274), List(4648, 6162), List(2029, 10241), List(3495, 4493), List(7380, 10850), List(6865, 8684), List(5145, 10351), List(5735, 11348), List(6506, 7061), List(658, 3394), List(3123, 5264), List(3051, 10114), List(8750, 11406), List(4519, 10828), List(8306, 10234), List(1584, 3559), List(6439, 9222), List(4384, 8159), List(8248, 9475), List(3107, 3980), List(6903, 10265), List(2918, 4458), List(4819, 5054), List(2224, 6521), List(3934, 9801), List(7702, 9157), List(3352, 4161), List(7913, 9377), List(1603, 7342), List(3502, 11275), List(3280, 5978), List(721, 2938), List(5175, 6005), List(27, 5001), List(1622, 2107), List(715, 3123), List(6934, 9177), List(5750, 7441), List(1555, 3514), List(894, 3805), List(6100, 8197), List(62, 10822), List(1775, 11367), List(3702, 10932), List(1209, 6260), List(4963, 9690), List(1616, 10556), List(9845, 11514), List(10569, 10791), List(8196, 11139), List(8798, 10241), List(4772, 10095), List(670, 9365), List(2781, 6573), List(1943, 9638), List(3534, 9254), List(1626, 7487), List(3286, 11404), List(602, 3754), List(2195, 10613), List(2026, 4196), List(9653, 10940), List(4431, 6769), List(4369, 10055), List(413, 10648), List(4520, 9470), List(3453, 9073), List(6915, 9820), List(4257, 7555), List(6380, 7032), List(10428, 10909), List(5442, 8735), List(2233, 8811), List(2231, 5732), List(4445, 10989), List(6964, 9712), List(2578, 2807), List(1215, 6024), List(4723, 6015), List(6307, 8624), List(2850, 10850), List(4565, 8058), List(2758, 11261), List(3839, 5702), List(2011, 10280), List(4158, 7145), List(1854, 6132), List(9402, 10139), List(262, 7045), List(3370, 9546), List(908, 4187), List(4985, 7304), List(6177, 8901), List(6757, 11462), List(4138, 8371), List(4790, 6082), List(4079, 4758), List(244, 1928), List(1651, 5399), List(806, 9545), List(4383, 5169), List(436, 2098), List(3357, 4773), List(9177, 11310), List(7437, 11571), List(3535, 6765), List(7738, 8301), List(208, 2621), List(882, 1811), List(1131, 4767), List(138, 10146), List(11375, 11496), List(107, 8581), List(7227, 9667), List(6232, 8584), List(5012, 11355), List(1221, 8043), List(2362, 2535), List(7881, 11588), List(3583, 9788), List(2280, 10804), List(1368, 11476), List(5886, 11330), List(4986, 9353), List(3321, 5092), List(2452, 8844), List(678, 3859), List(3455, 8290), List(3572, 8875), List(1522, 8910), List(751, 2617), List(6535, 8743), List(683, 7586), List(743, 1975), List(6716, 8000), List(821, 6769), List(1543, 2967), List(1921, 8777), List(10071, 11132), List(4472, 10421), List(2962, 3819), List(5451, 10247), List(6120, 10571), List(4649, 9559), List(4124, 6705), List(3157, 3506), List(2723, 7186), List(3334, 9060), List(2530, 6791), List(8846, 10526), List(6636, 8394), List(1280, 4435), List(3456, 6956), List(8158, 9371), List(1938, 6098), List(8619, 10520), List(7528, 8975), List(7, 7545), List(2834, 4169), List(6727, 11141), List(1402, 3085), List(1, 6976), List(868, 8813), List(1794, 5595), List(2805, 9066), List(6599, 9643), List(998, 1689), List(4943, 8851), List(853, 4748), List(2749, 5000), List(923, 6241), List(2444, 10780), List(7361, 10905), List(2225, 11416), List(1569, 9799), List(2104, 6925), List(1949, 10020), List(5837, 9478), List(1047, 4964), List(10092, 11204), List(2010, 11427), List(202, 442), List(1936, 8280), List(6011, 8318), List(1095, 11047), List(1434, 10513), List(369, 4527), List(7719, 8519), List(2058, 6930), List(2736, 3610), List(5304, 9365), List(2902, 11227), List(872, 8531), List(65, 6745), List(1997, 6654), List(6004, 10530), List(2733, 9728), List(2865, 5683), List(96, 5277), List(750, 4569), List(1185, 3743), List(3442, 4940), List(1976, 4272), List(5506, 7220), List(647, 6319), List(3133, 7568), List(9359, 9875), List(887, 9189), List(3437, 3815), List(2540, 9683), List(577, 8963), List(2165, 4144), List(3378, 6618), List(4938, 11085), List(4305, 7008), List(2689, 9025), List(449, 3301), List(631, 4281), List(944, 9696), List(2656, 6633), List(1823, 4380), List(890, 6427), List(4458, 10633), List(1225, 6151), List(561, 6925), List(3682, 4750), List(1906, 9518), List(10968, 11201), List(5584, 8200), List(8440, 9726), List(5386, 7461), List(1864, 9292), List(4928, 6583), List(6163, 10536), List(559, 9481), List(6254, 9900), List(5256, 11552), List(2706, 6346), List(3105, 10781), List(4008, 5859), List(3414, 11536), List(6313, 10480), List(2762, 7409), List(129, 6864), List(6743, 10064), List(298, 1977), List(2548, 2727), List(278, 10370), List(1305, 7958), List(2764, 7455), List(831, 8075), List(4033, 10992), List(7489, 8541), List(6416, 7575), List(3518, 5069), List(8352, 9855), List(4395, 6096), List(3716, 9191), List(1100, 9781), List(8502, 10553), List(8603, 10605), List(7619, 9711), List(5019, 5142), List(2356, 2533), List(2589, 11372), List(929, 7455), List(2735, 4781), List(837, 7866), List(1893, 10356), List(6657, 10239), List(1430, 2718), List(8706, 10733), List(8792, 9753), List(2286, 10058), List(7487, 9942), List(2573, 2918), List(6488, 11369), List(4868, 10234), List(3836, 6640), List(6523, 7391), List(983, 1625), List(881, 3600), List(5462, 7940), List(3867, 11588), List(4022, 8493), List(4612, 9490), List(9651, 11298), List(7760, 9138), List(933, 7173), List(946, 11542), List(1242, 7928), List(1710, 3832), List(1969, 5224), List(1742, 1835), List(6279, 6657), List(5203, 6898), List(411, 11383), List(5139, 9357), List(1966, 11342), List(2238, 9586), List(5314, 7668), List(2265, 4993), List(6057, 11159), List(2261, 8257), List(2603, 11404), List(19, 952), List(4139, 6395), List(7893, 9825), List(5904, 7884), List(8607, 9168), List(6585, 10497), List(709, 4782), List(10077, 10709), List(1173, 9612), List(9098, 9405), List(6044, 7140), List(5154, 10015), List(3036, 7472), List(252, 6034), List(4029, 8859), List(4733, 6760), List(106, 10346), List(2338, 5629), List(102, 6440), List(8500, 8897), List(3395, 4557), List(1835, 8391), List(7089, 11319), List(1922, 10265), List(5669, 10996), List(67, 188), List(1529, 10536), List(7274, 10318), List(5168, 7038), List(4416, 11375), List(1051, 1112), List(8803, 9056), List(6086, 8840), List(1757, 5475), List(1884, 6748), List(2856, 4629), List(806, 10326), List(1070, 2293), List(1262, 8879), List(1009, 4269), List(6765, 8347), List(5187, 7438), List(3186, 3228), List(4524, 8814), List(2031, 4142), List(6296, 6556), List(4049, 5323), List(5518, 10426), List(7574, 7927), List(1965, 6528), List(3957, 6488), List(836, 2247), List(2623, 7437), List(4025, 4148), List(9426, 11290), List(379, 4223), List(3265, 7843), List(6216, 6977), List(3881, 10815), List(4610, 10436), List(5503, 11242), List(969, 10855), List(8211, 11372), List(5246, 7644), List(1952, 11554), List(1585, 10040), List(665, 6687), List(2545, 5652), List(7607, 9164), List(2256, 5549), List(4748, 6586), List(2033, 3033), List(6210, 9764), List(6184, 8543), List(10165, 11198), List(9907, 10408), List(2560, 5933), List(2441, 8685), List(447, 1482), List(8638, 10254), List(6269, 8092), List(6416, 10771), List(6364, 10581), List(3336, 8783), List(2059, 11020), List(3389, 6165), List(1967, 11431), List(3418, 4651), List(1439, 3398), List(5102, 6710), List(2154, 11257), List(5253, 6879), List(3119, 7967), List(404, 5168), List(3913, 8013), List(3207, 7033), List(7113, 7851), List(24, 1914), List(1992, 3732), List(3475, 7787), List(550, 7622), List(7773, 10341), List(25, 5522), List(10658, 11107), List(2973, 10020), List(4907, 6592), List(1574, 11328), List(1975, 5256), List(6585, 8082), List(7116, 7718), List(6692, 11362), List(469, 2156), List(8787, 8791), List(788, 10769), List(3207, 5878), List(8411, 9443), List(2403, 8527), List(565, 6001), List(312, 7807), List(2920, 9985), List(5315, 6952), List(6347, 11300), List(10521, 11344), List(1928, 8419), List(892, 7335), List(6991, 8369), List(4881, 7599), List(2197, 6365), List(1832, 4924), List(10070, 10132), List(4163, 5104), List(4627, 9180), List(10535, 11400), List(4683, 10243), List(7360, 10306), List(3248, 4724), List(45, 8752), List(3985, 8400), List(5265, 6434), List(2493, 9517), List(5819, 7774), List(6008, 10679), List(2408, 4683), List(1271, 2793), List(11174, 11508), List(4358, 4417), List(1345, 4405), List(1749, 8430), List(9304, 9444), List(2019, 10011), List(7526, 11133), List(1733, 3763), List(249, 5899), List(3736, 11429), List(1635, 3605), List(8823, 9521), List(2257, 9775), List(139, 4980), List(7986, 9778), List(7671, 10706), List(81, 10637), List(5244, 7785), List(9222, 10923), List(3406, 5259), List(7384, 8397), List(5200, 10896), List(4427, 10946), List(1151, 9800), List(3742, 4427), List(10395, 10965), List(539, 8455), List(4892, 9962), List(9532, 11499), List(2992, 6558), List(1650, 4236), List(3511, 11095), List(5073, 5809), List(4482, 8751), List(334, 3512), List(5313, 8679), List(4936, 8729), List(5341, 9946), List(84, 5966), List(5099, 7380), List(6580, 8356), List(9852, 10514), List(10029, 11150), List(10805, 11371), List(3690, 10629), List(1715, 7640), List(5514, 8561), List(667, 3513), List(6916, 7524), List(1816, 8446), List(7232, 9450), List(2280, 6860), List(3962, 5840), List(4012, 5203), List(3611, 4859), List(1840, 9971), List(5066, 10249), List(1045, 8195), List(6461, 9953), List(828, 3996), List(10075, 11094), List(5894, 6873), List(2291, 3612), List(1447, 2698), List(53, 3596), List(10285, 11089), List(3253, 5686), List(6947, 9065), List(2101, 6871), List(3909, 4270), List(196, 3123), List(2496, 7400), List(7067, 11052), List(7951, 8332), List(3770, 11281), List(2896, 8273), List(3892, 5794), List(9869, 10063), List(1811, 4264), List(312, 7620), List(3636, 11466), List(7872, 8978), List(8930, 11541), List(2798, 3951), List(2203, 6774), List(5537, 5646), List(4537, 9881), List(2797, 10896), List(8022, 8922), List(6724, 10282), List(6844, 8886), List(2441, 6538), List(6458, 8850), List(2101, 2683), List(3103, 8320), List(1202, 1308), List(2592, 9336), List(5389, 8003), List(5585, 5663), List(977, 8545), List(3933, 8023), List(2054, 5496), List(132, 4777), List(3050, 7935), List(125, 3606), List(2535, 5769), List(5487, 8511), List(9621, 11408), List(5853, 9800), List(2145, 2581), List(4049, 6104), List(248, 2858), List(4128, 4707), List(6717, 9087), List(468, 912), List(1734, 10594), List(3671, 6683), List(6410, 7624), List(3480, 7115), List(2179, 11210), List(5436, 7418), List(4947, 11391), List(5317, 10170), List(238, 635), List(3257, 11015), List(9106, 9622), List(5240, 6725), List(4904, 10940), List(2099, 5215), List(5550, 11088), List(7756, 10068), List(1037, 9326), List(1539, 10476), List(813, 9618), List(4746, 7321), List(2833, 5210), List(11086, 11450), List(1258, 7982), List(876, 7688), List(1992, 10229), List(4120, 7044), List(907, 10384), List(7379, 9714), List(6011, 10335), List(3416, 7638), List(734, 815), List(2829, 8070), List(4603, 6639), List(828, 11030), List(3145, 6586), List(1134, 1688), List(2793, 5380), List(2147, 10867), List(24, 5728), List(5831, 7142), List(2567, 3347), List(730, 10091), List(3412, 4836), List(3959, 4251), List(5886, 10232), List(378, 9639), List(5832, 6963), List(2652, 8531), List(8374, 10773), List(2361, 5349), List(934, 10271), List(4729, 8040), List(5224, 8019), List(957, 8942), List(1127, 7633), List(2517, 9245), List(8556, 9474), List(6632, 7928), List(4287, 10324), List(1088, 11088), List(6251, 8236), List(2266, 2429), List(3217, 6623), List(4712, 5777), List(2075, 8496), List(5313, 11070), List(3816, 11089), List(1612, 7274), List(7923, 9911), List(1699, 9148), List(6140, 7092), List(7767, 8617), List(5021, 10669), List(8104, 11420), List(9188, 9542), List(5337, 8431), List(8907, 10054), List(2152, 7403), List(409, 3983), List(1684, 5083), List(1505, 2866), List(7067, 10865), List(2829, 6110), List(1034, 7418), List(6107, 11466), List(4823, 6116), List(4876, 9914), List(146, 5451), List(1403, 5191), List(240, 8496), List(3663, 5905), List(1263, 2178), List(8738, 11534), List(3946, 6193), List(5467, 6568), List(7418, 10691), List(86, 11412), List(8851, 8967), List(4527, 5192), List(3002, 7327), List(2281, 5315), List(1596, 5212), List(8282, 9978), List(7313, 10116), List(10776, 11088), List(10096, 11329), List(633, 2132), List(879, 5571), List(3206, 8261), List(2860, 6870), List(4957, 11542), List(2741, 9622), List(1992, 7814), List(4098, 8842), List(1116, 1727), List(2915, 4298), List(3006, 3662), List(7061, 8710), List(1178, 8240), List(1677, 9873), List(6873, 9413), List(2262, 6362), List(1149, 6721), List(2701, 6409), List(2381, 4741), List(292, 7100), List(3928, 9720), List(6899, 10984), List(1042, 9483), List(5467, 9146), List(422, 3359), List(2466, 9925), List(3624, 6276), List(1602, 7605), List(6828, 9239), List(7757, 9702), List(10017, 10416), List(3176, 8745), List(3945, 7795), List(457, 8456), List(4732, 5142), List(4727, 8181), List(5563, 8453), List(8015, 10118), List(9822, 10298), List(3026, 7646), List(4466, 7093), List(1293, 9078), List(797, 11126), List(1320, 6737), List(1222, 10366), List(1351, 6050), List(2722, 9864), List(7453, 11519), List(2835, 7297), List(32, 1645), List(2833, 4218), List(6666, 10385), List(1413, 11065), List(6473, 6580), List(2865, 2975), List(4444, 10902), List(4019, 6000), List(1059, 9032), List(6656, 8916), List(4615, 6031), List(2990, 4552), List(1395, 8200), List(5435, 5800), List(4008, 10722), List(3538, 6077), List(7312, 10883), List(4442, 10425), List(4354, 8326), List(1582, 11409), List(1295, 1553), List(7076, 7408), List(3194, 4732), List(2783, 3700), List(6554, 8989), List(1038, 3617), List(5864, 8542), List(4217, 4830), List(2381, 9547), List(2417, 5040), List(7704, 11114), List(1499, 8149), List(3531, 5256), List(4212, 7869), List(4859, 5236), List(8464, 8543), List(1222, 6528), List(5327, 10939), List(2839, 7365), List(4303, 11370), List(4353, 10733), List(5445, 8716), List(3117, 6555), List(4951, 5175), List(5198, 5806), List(1336, 10198), List(183, 7775), List(7459, 9374), List(6771, 9754), List(4661, 4820), List(4778, 5405), List(1693, 7991), List(5407, 6330), List(2312, 3310), List(3843, 8537), List(2124, 4013), List(4462, 4610), List(1144, 10378), List(5215, 9543), List(4809, 8101), List(3180, 9886), List(6051, 6782), List(411, 3064), List(2995, 7100), List(7848, 9684), List(3361, 4979), List(3298, 10292), List(4014, 4046), List(906, 6426), List(3862, 6658), List(868, 10106), List(247, 7544), List(9529, 11445), List(8027, 11120), List(3237, 6606), List(3608, 8239), List(1204, 7022), List(6178, 7681), List(3037, 6171), List(5189, 10550), List(3069, 11344), List(6216, 7384), List(801, 2818), List(3184, 8850), List(4808, 10858), List(5682, 7450), List(1069, 9988), List(2878, 8743), List(7766, 10382), List(787, 8023), List(6425, 8662), List(3930, 9579), List(2368, 2787), List(5050, 7358), List(67, 4701), List(7916, 10326), List(5168, 11551), List(6047, 8487), List(2176, 6000), List(5424, 9262), List(6043, 10997), List(866, 10009), List(2082, 9748), List(2990, 11586), List(719, 10713), List(844, 11159), List(3886, 3995), List(6308, 9201), List(2509, 8280), List(2010, 5149), List(1982, 9517), List(887, 10482), List(5837, 6583), List(4195, 8133), List(919, 9239), List(108, 10717), List(4867, 7250), List(2749, 8871), List(765, 6520), List(4927, 7301), List(1950, 6946), List(100, 9321), List(1043, 1546), List(3845, 6973), List(2785, 7747), List(5959, 8616), List(2394, 7367), List(4541, 10648), List(31, 1987), List(3611, 10714), List(3797, 6932), List(1777, 4924), List(6945, 8832), List(8908, 10306), List(1984, 8408), List(4322, 9005), List(3078, 6464), List(428, 8978), List(206, 10097), List(5806, 7246), List(4469, 5268), List(714, 8029), List(5444, 6076), List(3911, 10602), List(2909, 8348), List(4538, 10700), List(7802, 8079), List(764, 11529), List(2567, 8584), List(5559, 7719), List(1688, 5232), List(1872, 7039), List(3466, 6172), List(4899, 10864), List(5711, 10742), List(1038, 6813), List(5337, 8057), List(2110, 6803), List(2309, 10396), List(1557, 1901), List(6157, 10455), List(8829, 10928), List(5102, 5157), List(688, 9036), List(1454, 8569), List(10302, 11232), List(777, 8327), List(1742, 10699), List(550, 2686), List(10880, 11468), List(1293, 6931), List(6155, 7349), List(2693, 2815), List(4470, 11481), List(2606, 9986), List(4158, 9674), List(3377, 3447), List(956, 1095), List(7645, 9542), List(3629, 10084), List(6575, 8874), List(3309, 8416), List(6295, 9988), List(3714, 9633), List(5923, 8130), List(4742, 10075), List(2966, 8427), List(3828, 9920), List(1901, 2441), List(11176, 11587), List(3366, 11552), List(2396, 2420), List(4073, 7472), List(31, 377), List(1154, 10505), List(6469, 7293), List(4263, 6815), List(247, 7357), List(4688, 5301), List(4421, 8155), List(653, 6547), List(4844, 5814), List(337, 7250), List(4726, 11420), List(9573, 10806), List(6472, 7941), List(297, 3687), List(2762, 10475), List(981, 4319), List(327, 9945), List(4623, 7508), List(6333, 8536), List(7700, 8444), List(3849, 11497), List(2041, 7682), List(5240, 9547), List(4278, 10856), List(1310, 9863), List(1845, 6989), List(3216, 4387), List(1939, 10788), List(1060, 2518), List(411, 8488), List(6725, 11396), List(648, 8431), List(7535, 10447), List(5689, 10312), List(2271, 6050), List(182, 6157), List(10209, 10212), List(7456, 11093), List(806, 1820), List(2230, 8678), List(6774, 10507), List(1022, 6548), List(950, 4982), List(895, 5275), List(1072, 6665), List(213, 4689), List(452, 11121), List(10911, 11423), List(773, 9227), List(1081, 7128), List(3502, 3818), List(3534, 5985), List(5254, 9953), List(1082, 4320), List(1228, 9807), List(15, 7333), List(4115, 4984), List(326, 5505), List(2805, 4829), List(8817, 11536), List(2807, 9039), List(694, 11004), List(682, 9489), List(7882, 10504), List(1301, 4808), List(2173, 11153), List(9423, 11531), List(239, 2503), List(316, 4413), List(2647, 11009), List(2492, 6934), List(313, 10531), List(583, 5696), List(10240, 10972), List(3200, 5708), List(5782, 8917), List(2105, 3263), List(1167, 9130), List(5783, 6109), List(666, 4418), List(4246, 6729), List(6460, 11232), List(1066, 5291), List(1635, 7663), List(1578, 7129), List(3441, 11405), List(6674, 7219), List(793, 3412), List(5547, 6017), List(1844, 4804), List(5332, 7526), List(1034, 3474), List(9781, 10249), List(2212, 6893), List(5722, 7711), List(257, 9444), List(6014, 7331), List(3012, 5256), List(659, 6980), List(2361, 3983), List(8090, 10402), List(1061, 4516), List(2952, 3670), List(7623, 10936), List(2673, 5009), List(7872, 8230), List(62, 5943), List(6378, 9678), List(3291, 6519), List(5228, 6772), List(7962, 8123), List(2102, 2187), List(1107, 3356), List(3476, 10436), List(2670, 11504), List(2004, 11451), List(3874, 10482), List(4846, 7609), List(4434, 8604), List(907, 3675), List(5526, 10751), List(1221, 11190), List(2191, 8244), List(6329, 8631), List(7043, 7974), List(1439, 6919), List(374, 6595), List(5611, 6136), List(5296, 11228), List(6727, 8677), List(4851, 9831), List(3302, 7408), List(6127, 8123), List(4480, 10827), List(5719, 6608), List(4721, 7506), List(1923, 2952), List(2394, 8953), List(1272, 8095), List(589, 4655), List(431, 1063), List(4451, 9308), List(2693, 8239), List(984, 7813), List(5211, 7491), List(5206, 7147), List(5677, 6732), List(567, 2048), List(5668, 8898), List(5585, 7143), List(532, 3747), List(906, 11313), List(2367, 5221), List(158, 1062), List(4464, 9893), List(4832, 7845), List(3065, 4031), List(3841, 4252), List(3056, 6197), List(5785, 6450), List(346, 3742), List(6137, 11039), List(6846, 9284), List(6970, 11013), List(468, 2392), List(1669, 7515), List(1278, 7859), List(3205, 6670), List(5450, 7076), List(9641, 10507), List(1360, 9389), List(8576, 10937), List(4288, 6819), List(4945, 5628), List(5597, 7503), List(5724, 9530), List(4912, 7400), List(1486, 11191), List(335, 9595), List(5932, 9479), List(1517, 4088), List(2886, 7075), List(5028, 10766), List(2967, 6505), List(5341, 9011), List(8851, 9829), List(4594, 8030), List(8114, 9536), List(9915, 9928), List(6924, 7231), List(1095, 1362), List(2815, 5330), List(1588, 11094), List(6640, 10855), List(7070, 10439), List(7570, 8510), List(3888, 8174), List(9017, 10656), List(1919, 6885), List(4730, 10146), List(3259, 9134), List(1206, 11150), List(7441, 9793), List(5903, 6805), List(2782, 3318), List(180, 4338), List(6594, 10860), List(3540, 8595), List(708, 4457), List(2565, 4781), List(4878, 9263), List(1447, 11212), List(8862, 9937), List(3372, 3534), List(6706, 8068), List(1312, 2127), List(2497, 2553), List(6619, 9577), List(769, 5083), List(788, 2881), List(7692, 9038), List(5115, 9556), List(7575, 11082), List(7945, 9861), List(65, 2671), List(1257, 5022), List(347, 1603), List(818, 1188), List(1771, 9215), List(1843, 8529), List(2840, 9658), List(5347, 11030), List(1395, 3451), List(187, 1321), List(2797, 6578), List(1047, 6151), List(2454, 9622), List(4417, 11096), List(1117, 5392), List(4389, 9048), List(363, 2486), List(2259, 2738), List(1642, 10875), List(615, 7625), List(7547, 8660), List(455, 8841), List(359, 2717), List(671, 737), List(1135, 5567), List(252, 11141), List(9474, 10827), List(1993, 10701), List(3820, 8904), List(1091, 6399), List(2356, 2647), List(8829, 9749), List(5315, 11441), List(5375, 11492), List(497, 11295), List(339, 7703), List(2419, 9762), List(931, 1199), List(10414, 11048), List(3031, 4664), List(1482, 2241), List(1228, 10238), List(2780, 10680), List(2631, 10557), List(2215, 8427), List(3281, 5189), List(3393, 5430), List(2554, 11276), List(3552, 3962), List(5233, 11385), List(177, 2056), List(7905, 11104), List(1957, 10239), List(364, 8298), List(837, 3792), List(9527, 10033), List(1951, 10424), List(1051, 2031), List(3077, 7237), List(2237, 9475), List(6375, 10616), List(2206, 7910), List(3505, 10158), List(5060, 9363), List(17, 6655), List(1419, 9782), List(3912, 8038), List(794, 3314), List(2294, 6976), List(4164, 8259), List(1785, 5409), List(6958, 7409), List(2947, 8295), List(705, 8160), List(6729, 7357), List(6176, 8871), List(3872, 5606), List(4023, 5021), List(2622, 5502), List(874, 5902), List(5700, 6663), List(7720, 7917), List(9055, 9822), List(2179, 4932), List(2096, 9593), List(2743, 6960), List(5845, 6263), List(3212, 5718), List(4418, 11185), List(210, 3643), List(9655, 10726), List(3024, 6421), List(3207, 8757), List(769, 4546), List(4511, 9097), List(1925, 4234), List(9479, 11439), List(458, 9757), List(2982, 3162), List(6748, 8107), List(4408, 10847), List(7792, 9082), List(9507, 10454), List(1570, 9146), List(2494, 2849), List(1377, 2335), List(3930, 7058), List(3436, 10687), List(9907, 11327), List(4499, 7178), List(2402, 3260), List(1624, 2966), List(2506, 9999), List(3683, 10564), List(3547, 5041), List(8245, 9966), List(836, 8777), List(4884, 6238), List(1558, 1565), List(2203, 8685), List(1432, 9562), List(594, 6211), List(5535, 10894), List(1620, 5826), List(116, 8838), List(840, 8869), List(5353, 8379), List(4109, 6592), List(298, 8320), List(2892, 6628), List(385, 10948), List(10393, 10789), List(4815, 10955), List(7093, 11501), List(82, 559), List(1766, 9034), List(3065, 10528), List(4092, 8116), List(1905, 4682), List(5065, 8097), List(2322, 9666), List(1011, 6657), List(5770, 9606), List(450, 1894), List(381, 10425), List(6301, 9242), List(2369, 6479), List(5794, 11131), List(8471, 11194), List(8631, 9197), List(6948, 9992), List(355, 2007), List(5570, 5761), List(8257, 10676), List(1461, 3860), List(9812, 10635), List(4392, 11387), List(600, 5221), List(5877, 9853), List(3494, 3821), List(1708, 3737), List(4767, 4848), List(6971, 8663), List(1057, 8880), List(5162, 6875), List(5193, 6188), List(680, 6678), List(3608, 4108), List(7436, 9931), List(3262, 3471), List(3040, 4590), List(3847, 4124), List(1395, 2459), List(3053, 9713), List(1921, 8167), List(3483, 8543), List(1833, 6068), List(3815, 5340), List(3078, 4293), List(482, 2906), List(3699, 7609), List(3876, 8245), List(3814, 5115), List(202, 10436), List(8421, 10676), List(2659, 9035), List(2540, 11033), List(2471, 8984), List(451, 560), List(1638, 6731), List(9322, 9845), List(6050, 11070), List(3989, 6809), List(6265, 6528), List(4155, 8010), List(165, 1859), List(10125, 11108), List(779, 9666), List(944, 1597), List(4247, 4566), List(1002, 4985), List(1621, 4468), List(2426, 5427), List(4048, 10772), List(3642, 5920), List(523, 2506), List(2241, 9811), List(7189, 9249), List(3708, 6917), List(8035, 10209), List(1330, 6921), List(5226, 11158), List(7246, 9002), List(3794, 10074), List(2739, 10438), List(1232, 9769), List(265, 4318), List(2627, 5309), List(1916, 10401), List(7487, 9064), List(3313, 6768), List(2850, 4792), List(319, 10970), List(4302, 7282), List(6644, 11004), List(10534, 11289), List(2781, 6126), List(1946, 9462), List(3615, 9735), List(1471, 3719), List(6133, 8987), List(3793, 5311), List(8531, 10389), List(7976, 8824), List(3048, 10792), List(3322, 3447), List(2458, 7543), List(4629, 8966), List(6253, 10974), List(2855, 10397), List(1153, 7732), List(436, 2456), List(7031, 10487), List(2642, 6317), List(7862, 10415), List(1422, 2672), List(5090, 7082), List(1609, 8914), List(4971, 9834), List(6989, 11015), List(6120, 8351), List(1512, 11233), List(1072, 5299), List(208, 2979), List(2044, 2426), List(4212, 6584), List(3835, 4382), List(8361, 11267), List(7272, 10549), List(1200, 1512), List(1219, 1562), List(6174, 8587), List(8815, 8993), List(348, 2235), List(538, 1578), List(5200, 11010), List(5360, 9013), List(8942, 11397), List(7049, 11416), List(6165, 7720), List(757, 10741), List(1003, 7010), List(6127, 11400), List(10648, 11525), List(2058, 5865), List(1497, 7518), List(1533, 3011), List(1241, 3391), List(2928, 11383), List(2826, 4690), List(5873, 10702), List(861, 6553), List(121, 2579), List(608, 2697), List(1211, 10315), List(10641, 10704), List(3074, 8175), List(1422, 8283), List(2330, 10875), List(7187, 10195), List(1829, 6163), List(7587, 11068), List(3650, 10213), List(8345, 9205), List(4016, 5840), List(2281, 10609), List(6572, 7828), List(7136, 9856), List(8849, 10401), List(95, 6619), List(3202, 6266), List(9086, 9590), List(6880, 9112), List(6164, 8942), List(192, 3519), List(5696, 7376), List(1271, 1297), List(1460, 3448), List(4668, 10317), List(5382, 8906), List(5129, 8460), List(3263, 11056), List(308, 8016), List(5377, 5529), List(4033, 6544), List(2818, 9659), List(268, 8617), List(9232, 9765), List(7554, 10904), List(8330, 11125), List(806, 5260), List(2793, 4876), List(6965, 11263), List(6482, 7911), List(8849, 9246), List(1760, 7473), List(228, 8437), List(10126, 10392), List(603, 1898), List(783, 6969), List(6230, 9538), List(532, 3186), List(289, 3428), List(9906, 11557), List(2425, 8802), List(8400, 11490), List(5542, 9137), List(2429, 8921), List(1937, 2797), List(6470, 10129), List(3385, 7797), List(4505, 7828), List(6535, 10524), List(437, 5928), List(709, 4172), List(1433, 4203), List(3229, 4251), List(3657, 9424), List(8265, 11423), List(4812, 9641), List(4631, 6597), List(2723, 5584), List(4126, 11565), List(3875, 7782), List(1998, 6082), List(9566, 11465), List(6673, 9303), List(1568, 3465), List(6103, 7460), List(8680, 10325), List(2835, 6175), List(1739, 10702), List(6386, 6994), List(4111, 4467), List(1251, 4697), List(1492, 7792), List(5110, 5669), List(11072, 11158), List(62, 2617), List(2512, 4209), List(5042, 11392), List(1233, 9783), List(5063, 5853), List(4794, 7126), List(584, 5173), List(3598, 8039), List(10354, 11292), List(3077, 6058), List(2726, 11493), List(7953, 10346), List(7395, 11516), List(10257, 10578), List(1350, 4302), List(2628, 5673), List(2717, 10626), List(1155, 3834), List(2881, 8748), List(9027, 9628), List(3239, 6012), List(2585, 7474), List(4796, 6798), List(3619, 6233), List(7977, 8838), List(2590, 5566), List(1034, 9142), List(7591, 11054), List(2520, 10462), List(1431, 5580), List(1049, 3034), List(1741, 9943), List(3800, 4709), List(3234, 6018), List(2389, 10918), List(369, 6658), List(1363, 7516), List(776, 4538), List(2078, 9713), List(175, 9044), List(7088, 10783), List(5741, 7363), List(550, 1751), List(5493, 7261), List(918, 6873), List(4849, 9411), List(4806, 6331), List(6710, 10608), List(232, 6545), List(9689, 11009), List(7860, 9727), List(6359, 6594), List(2178, 3127), List(3055, 9816), List(1002, 5416), List(8834, 9182), List(2084, 9127), List(239, 3178), List(1374, 4241), List(8218, 10347), List(4300, 11424), List(5754, 10577), List(5723, 9012), List(7249, 10485), List(2894, 5145), List(10454, 10667), List(4079, 9735), List(3329, 8483), List(805, 5252), List(8210, 8951), List(8337, 8726), List(4137, 7461), List(4531, 6634), List(5749, 7200), List(4505, 5413), List(4541, 5070), List(2452, 5177), List(8458, 10184), List(705, 11437), List(4247, 10258), List(9161, 10866), List(9314, 11108), List(10809, 11016), List(6695, 8771), List(17, 3866), List(3094, 4802), List(8316, 9727), List(4776, 10198), List(1753, 9498), List(7358, 7745), List(1556, 5951), List(3180, 7959), List(3825, 10915), List(1220, 6002), List(3668, 10931), List(1519, 6069), List(2644, 6444), List(2486, 3606), List(5820, 8140), List(3515, 3519), List(5259, 9793), List(9147, 10005), List(1919, 6942), List(3131, 9945), List(3384, 8139), List(4760, 5881), List(6059, 7375), List(3848, 6553), List(5150, 5312), List(390, 9308), List(610, 946), List(7301, 9466), List(482, 5110), List(6237, 6334), List(6006, 10373), List(6883, 10646), List(751, 3056), List(2529, 8914), List(5607, 9321), List(5700, 6102), List(443, 2122), List(1300, 7435), List(1189, 10048), List(802, 2994), List(6471, 8608), List(3950, 9058), List(8580, 9153), List(1362, 7532), List(7239, 7433), List(4382, 5682), List(3036, 5870), List(85, 4484), List(2041, 11203), List(6420, 8269), List(7710, 10401), List(5924, 10317), List(1299, 3396), List(2171, 10495), List(917, 7266), List(547, 2071), List(2109, 2447), List(6333, 9024), List(3903, 8838), List(5914, 6596), List(2025, 2749), List(323, 3494), List(6009, 9085), List(4083, 10876), List(6853, 6966), List(2084, 6712), List(749, 2555), List(310, 5891), List(1547, 6507), List(499, 2380), List(4146, 11575), List(4889, 9404), List(5154, 10641), List(8199, 9410), List(6216, 9913), List(3697, 11190), List(459, 2200), List(8831, 9098), List(1818, 8663), List(758, 8683), List(1878, 8714), List(2007, 4398), List(1067, 9438), List(4308, 5867), List(5801, 10610), List(7570, 8835), List(854, 6112), List(749, 1400), List(2834, 3803), List(2586, 10871), List(8496, 9000), List(2630, 10389), List(3862, 4999), List(2523, 3352), List(1370, 3181), List(7779, 9359), List(7321, 8481), List(1748, 6739), List(370, 1754), List(4363, 5924), List(9893, 11002), List(8411, 9801), List(1582, 4757), List(4665, 6262), List(7749, 8369), List(5507, 7480), List(7095, 9077), List(457, 1349), List(1833, 5507), List(3163, 6314), List(3008, 9409), List(117, 10326), List(2507, 11113), List(2237, 3116), List(1141, 8397), List(294, 3048), List(5715, 11566), List(10911, 11106), List(8302, 8703), List(1721, 3761), List(1351, 1976), List(3278, 3793), List(218, 7375), List(5142, 8671), List(6396, 11146), List(7509, 10006), List(30, 1662), List(2394, 3480), List(2586, 10066), List(320, 4619), List(4360, 4471), List(2770, 5457), List(7320, 10484), List(3521, 3901), List(2953, 4383), List(4787, 7167), List(3859, 9558), List(1674, 9957), List(306, 9824), List(3231, 3573), List(3915, 10621), List(5164, 6336), List(3290, 10569), List(573, 4691), List(855, 3623), List(6462, 8359), List(2565, 11067), List(5376, 7912), List(2984, 10462), List(8232, 10192), List(1477, 9793), List(6678, 8923), List(3435, 3753), List(1707, 6283), List(4744, 6689), List(981, 5425), List(795, 6955), List(855, 7006), List(2885, 3286), List(3315, 9286), List(4206, 7013), List(2530, 4815), List(1377, 2392), List(1781, 7171), List(4902, 4996), List(4236, 8353), List(5206, 5407), List(6051, 6896), List(9055, 9074), List(5445, 11058), List(1007, 10379), List(592, 5441), List(5538, 10468), List(2701, 5986), List(4724, 5259), List(1391, 5831), List(2795, 3369), List(5933, 10997), List(6898, 6953), List(3508, 11155), List(4351, 6182), List(1302, 10677), List(1421, 5673), List(3948, 9175), List(2852, 3122), List(1763, 2404), List(142, 667), List(4221, 10273), List(2915, 7608), List(1053, 6940), List(6810, 8237), List(146, 7956), List(1608, 4718), List(1472, 11273), List(942, 8829), List(8595, 10378), List(2311, 3148), List(8728, 9187), List(2708, 6002), List(4050, 4914), List(7826, 10547), List(1821, 9148), List(2900, 6172), List(3028, 11053), List(2651, 8851), List(2114, 8646), List(4612, 7246), List(2246, 4601), List(6595, 9372), List(2548, 4939), List(1959, 4544), List(4696, 9576), List(6375, 11291), List(6521, 10362), List(9537, 10645), List(4403, 5567), List(2474, 2923), List(765, 9667), List(1078, 3748), List(1133, 7619), List(696, 7618), List(7516, 8412), List(2375, 9333), List(1630, 2009), List(4090, 4289), List(1416, 3743), List(723, 2244), List(4797, 11506), List(535, 9363), List(6447, 8319), List(1868, 8189), List(3674, 4761), List(2430, 2974), List(8679, 11149), List(6206, 8607), List(9804, 11524), List(2617, 9216), List(3918, 5121), List(5753, 7349), List(4519, 6250), List(6871, 10717), List(5071, 10927), List(10324, 11001), List(991, 7512), List(4167, 5044), List(208, 6874), List(1853, 2589), List(8673, 10553), List(9485, 10431), List(2021, 4617), List(1615, 3929), List(2326, 5253), List(6628, 10178), List(112, 9795), List(308, 7455), List(1884, 7537), List(1597, 1845), List(2818, 9098), List(168, 10858), List(2876, 6070), List(1795, 5967), List(2416, 8529), List(5339, 5615), List(764, 5227), List(10194, 11278), List(1911, 7081), List(2274, 4689), List(2217, 4155), List(4796, 7847), List(8261, 9646), List(974, 2970), List(103, 5895), List(7036, 11292), List(682, 8985), List(6017, 11313), List(2834, 6194), List(1495, 7553), List(241, 5078), List(2426, 4679), List(1278, 9770), List(3477, 6825), List(8929, 10492), List(2334, 5090), List(3793, 8751), List(6553, 11323), List(2821, 5208), List(2147, 8647), List(1354, 11485), List(4263, 11117), List(2257, 6563), List(8480, 9353), List(639, 8507), List(4216, 10547), List(3564, 6420), List(3971, 10716), List(3694, 5712), List(8945, 11375), List(2324, 11168), List(6894, 7802), List(390, 8934), List(10446, 11475), List(3808, 5999), List(3369, 8581), List(383, 11146), List(1622, 6173), List(1250, 10731), List(4049, 5307), List(6449, 7536), List(2115, 3073), List(411, 2991), List(9461, 9575), List(8026, 11226), List(3052, 4151), List(1403, 10192), List(3793, 4563), List(6903, 10143), List(1143, 2913), List(1154, 10619), List(3764, 9460), List(7520, 9553), List(312, 6368), List(551, 2220), List(6314, 7469), List(8836, 10627), List(4502, 6164), List(7108, 7515), List(5026, 8793), List(3632, 9691), List(1946, 7559), List(3379, 5835), List(1603, 10603), List(8666, 8903), List(6262, 9938), List(393, 1230), List(1785, 3669), List(9069, 9293), List(7634, 10190), List(5449, 10589), List(8480, 8898), List(7477, 10206), List(9, 1240), List(6636, 8809), List(9430, 9457), List(6914, 7999), List(775, 9818), List(95, 3643), List(6432, 8255), List(2426, 3069), List(1674, 1744), List(242, 6322), List(6131, 9990), List(3638, 10236), List(3075, 11062), List(4874, 7217), List(4499, 5088), List(1290, 8170), List(7857, 8518), List(857, 6036), List(4801, 8809), List(2491, 7227), List(4545, 8065), List(3041, 4661), List(4582, 10576), List(7319, 11444), List(3119, 10179), List(248, 451), List(564, 4629), List(5479, 8091), List(5560, 6767), List(2464, 11416), List(3977, 5514), List(4326, 5668), List(6337, 9842), List(5473, 8276), List(6244, 7399), List(4664, 5663), List(1295, 10742), List(173, 7632), List(5406, 9683), List(8051, 10962), List(4433, 6669), List(1604, 8464), List(2628, 6535), List(2416, 8342), List(425, 11236), List(5370, 6993), List(6046, 10016), List(7202, 9704), List(7169, 7312), List(4855, 4857), List(7946, 10387), List(3247, 5237), List(2187, 5257), List(3145, 7212), List(5578, 8046), List(7653, 9761), List(6058, 6993), List(268, 6714), List(873, 5333), List(6256, 10361), List(3391, 11001), List(3006, 4020), List(2667, 4554), List(4380, 11515), List(6522, 8790), List(4440, 10068), List(1546, 5052), List(6391, 9273), List(7024, 9940), List(78, 9973), List(9130, 10968), List(2856, 10842), List(9286, 11481), List(2034, 3860), List(2851, 4082), List(2885, 2912), List(3874, 10596), List(5701, 5793), List(1633, 6145), List(2844, 6294), List(1727, 9944), List(3898, 5705), List(4328, 10951), List(9123, 10147), List(940, 5400), List(4391, 9021), List(4262, 6167), List(6008, 9858), List(3174, 11309), List(404, 2387), List(3239, 9452), List(5916, 10269), List(5167, 5455), List(7725, 10522), List(2696, 5268), List(10605, 10944), List(2608, 3169), List(1608, 10410), List(4442, 8205), List(522, 9209), List(9240, 11082), List(3946, 4591), List(6160, 9848), List(5188, 9715), List(1267, 7865), List(6191, 9161), List(272, 9034), List(5444, 7426), List(10659, 11180), List(1460, 10889), List(2479, 4452), List(8456, 10219), List(5804, 11152), List(4310, 9190), List(4186, 10844), List(2500, 7958), List(6088, 7878), List(2100, 4806), List(3555, 10977), List(3185, 5782), List(4329, 10371), List(1122, 7110), List(4091, 10957), List(44, 10688), List(2814, 6778), List(7287, 9895), List(2125, 9185), List(2741, 11403), List(5504, 7076), List(6166, 9639), List(8717, 11283), List(462, 4970), List(1840, 3539), List(7407, 11128), List(8085, 10060), List(4694, 4992), List(2639, 3929), List(8394, 11569), List(1116, 6891), List(6733, 8181), List(389, 2398), List(5554, 6789), List(1822, 4838), List(4160, 5435), List(2591, 3888), List(10278, 10683), List(2566, 5521), List(1098, 11196), List(850, 11094), List(6020, 9413), List(2372, 7907), List(11501, 11566), List(1690, 5069), List(1248, 4724), List(9157, 10400), List(4802, 11476), List(5862, 11456), List(1595, 8215), List(5015, 6107), List(4958, 9737), List(3583, 11439), List(899, 7953), List(4132, 6019), List(5570, 11055), List(904, 1881), List(2146, 9257), List(4603, 4850), List(926, 5612), List(2, 3241), List(3890, 9115), List(3950, 9920), List(7281, 8521), List(1992, 2374), List(5820, 8197), List(5531, 8094), List(3293, 8078), List(2985, 3761), List(8704, 9492), List(4041, 6251), List(5493, 8741), List(3657, 9294), List(174, 10299), List(7371, 7633), List(4783, 10271), List(5528, 11179), List(2752, 10356), List(49, 9072), List(2571, 11476), List(8447, 10775), List(6246, 10641), List(6084, 6149), List(917, 5095), List(1507, 1928), List(2749, 7806), List(3590, 8422), List(4297, 5840), List(7380, 11509), List(3524, 3638), List(6393, 10287), List(6202, 6555), List(6940, 10456), List(2838, 3310), List(2153, 9623), List(3085, 3187), List(435, 5701), List(775, 8021), List(775, 1605), List(1143, 6727), List(370, 10187), List(124, 6748), List(2473, 7534), List(6619, 8536), List(6092, 9019), List(7587, 8173), List(1728, 6599), List(10198, 10622), List(7046, 11232), List(3254, 5066), List(7698, 8943), List(5673, 6591), List(664, 2713), List(4335, 10804), List(1355, 4516), List(1002, 9124), List(1439, 9879), List(3813, 5969), List(4896, 10282), List(8722, 8862), List(5632, 6940), List(1526, 8720), List(2985, 8217), List(1402, 6964), List(4803, 7058), List(6095, 11545), List(3959, 5390), List(2734, 7817), List(9980, 11459), List(613, 9140), List(1399, 3633), List(1946, 10218), List(1803, 7658), List(1020, 11184), List(2011, 8361), List(2568, 9218), List(2723, 6877), List(2760, 9388), List(10509, 11399), List(4926, 11221), List(938, 979), List(3969, 6458), List(407, 11142), List(4641, 11237), List(69, 8114), List(8348, 9159), List(4402, 8188), List(3117, 4148), List(2222, 2515), List(1494, 5748), List(2640, 4748), List(3240, 8685), List(8534, 8760), List(377, 9398), List(5351, 10057), List(1239, 4475), List(6072, 6407), List(2276, 2751), List(3413, 10333), List(9237, 9442), List(519, 5317), List(9116, 11367), List(10668, 11055), List(1797, 6688), List(3815, 7869), List(5372, 7901), List(6098, 8759), List(3516, 10431), List(648, 11554), List(271, 10850), List(1634, 8387), List(7805, 10987), List(3164, 9979), List(454, 7524), List(2537, 6848), List(3629, 11247), List(5012, 9436), List(4154, 11068), List(3175, 9764), List(5389, 8605), List(1407, 8731), List(1426, 6529), List(440, 3280), List(5608, 7188), List(1243, 7576), List(6693, 8164), List(862, 7884), List(2739, 3168), List(4886, 7203), List(3518, 7070), List(6064, 10622), List(4913, 9026), List(9553, 10563), List(2115, 4472), List(5943, 6131), List(5382, 7784), List(2083, 11350), List(894, 9270), List(2699, 7152), List(271, 10045), List(5028, 6505), List(1827, 10606), List(6987, 10489), List(2376, 7438), List(6059, 10628), List(5839, 6158), List(3433, 6366), List(1346, 7300), List(2127, 7865), List(1435, 6591), List(1660, 2737), List(6582, 9622), List(10990, 11590), List(904, 10338), List(3046, 6859), List(2550, 9661), List(7966, 10665), List(3613, 6152), List(8752, 11574), List(526, 10163), List(4084, 7989), List(3150, 4930), List(2805, 7147), List(5005, 7810), List(2352, 5889), List(7248, 11553), List(6555, 7425), List(2910, 3938), List(239, 4821), List(612, 9533), List(3198, 3816), List(9385, 11113), List(6238, 8657), List(2356, 10145), List(7120, 9274), List(8161, 10732), List(5091, 9432), List(4649, 6835), List(768, 7013), List(4824, 5146), List(510, 2059), List(3056, 3359), List(292, 4051), List(440, 4703), List(10209, 10220), List(121, 1725), List(3985, 7205), List(7596, 11081), List(5480, 7113), List(1959, 7634), List(119, 2029), List(1676, 2815), List(678, 3713), List(3751, 4530), List(1770, 8112), List(2740, 11582), List(329, 9194), List(769, 9466), List(5213, 11091), List(3680, 9201), List(9880, 10287), List(8166, 10271), List(1194, 4919), List(2123, 5382), List(2338, 3092), List(7439, 9942), List(598, 1101), List(5389, 9223), List(3594, 9777), List(6448, 11230), List(6694, 8253), List(9052, 10256), List(4475, 6035), List(4008, 7323), List(1642, 8842), List(5685, 5959), List(807, 5762), List(521, 5176), List(2446, 10330), List(2568, 4843), List(5374, 7760), List(3256, 9381), List(7760, 11057), List(6209, 7807), List(2221, 4735), List(2133, 2636), List(2465, 11511), List(7074, 7319), List(6117, 8972), List(381, 5546), List(71, 402), List(1868, 10474), List(1322, 6743), List(5515, 6837), List(7036, 7966), List(563, 10663), List(7350, 9065), List(8907, 9851), List(2625, 9110), List(2307, 4105), List(1403, 4638), List(5902, 6724), List(5812, 10214), List(3580, 7761), List(2422, 8000), List(2864, 8345), List(3695, 8273), List(10298, 11284), List(2760, 7241), List(6060, 7283), List(6996, 8917), List(4633, 9953), List(493, 8739), List(7771, 11165), List(462, 7174), List(7425, 10528), List(3574, 7165), List(9109, 10335), List(298, 6019), List(1877, 9782), List(1041, 3094), List(264, 9818), List(1728, 10413), List(2124, 3997), List(262, 3329), List(1201, 10896), List(9527, 11033), List(3842, 4886), List(3124, 8807), List(1087, 9104), List(6661, 7284), List(785, 7985), List(6510, 11252), List(5161, 11169), List(2585, 11158), List(4414, 10188), List(1064, 4367), List(6502, 9856), List(4909, 7915), List(4282, 11200), List(4323, 11201), List(1861, 2432), List(6090, 8599), List(4758, 11129), List(1991, 8140), List(1478, 1913), List(424, 10049), List(1270, 11009), List(200, 10341), List(1143, 3320), List(8637, 10474), List(8575, 8842), List(3403, 10450), List(7293, 10735), List(3002, 9352), List(4956, 6576), List(4173, 10102), List(7970, 10196), List(1996, 10362), List(64, 8201), List(2304, 8263), List(4604, 6124), List(5395, 7377), List(278, 5686), List(8070, 10777), List(8686, 8831), List(200, 10691), List(4827, 7859), List(2903, 6313), List(813, 2812), List(3046, 5867), List(5291, 6273), List(4334, 7926), List(717, 6487), List(1025, 4388), List(1625, 8325), List(1300, 6313), List(6002, 8728), List(1437, 9028), List(1394, 5948), List(3071, 11000), List(6247, 7778), List(4509, 9620), List(483, 9474), List(3907, 4856), List(522, 8648), List(1580, 5549), List(1758, 9793), List(6713, 10402), List(1176, 10569), List(4898, 5416), List(1876, 5318), List(2075, 8911), List(5308, 6977), List(7106, 10104), List(881, 6487), List(2006, 11026), List(4717, 9919), List(2088, 2730), List(6291, 7676), List(697, 7309), List(700, 10990), List(46, 6036), List(7329, 8806), List(2907, 8660), List(1376, 7597), List(4737, 8292), List(5533, 11417), List(6004, 11002), List(1424, 3100), List(3072, 9666), List(9426, 9721), List(1310, 6196), List(54, 2894), List(7371, 10910), List(6282, 10192), List(1865, 3974), List(7033, 7882), List(2576, 9435), List(4790, 7522), List(511, 7684), List(5116, 6002), List(2186, 5493), List(909, 7730), List(472, 559), List(6349, 7630), List(437, 1504), List(5268, 6773), List(1350, 2188), List(3364, 5879), List(1898, 5211), List(4633, 9416), List(6795, 8067), List(2231, 4862), List(2112, 3450), List(2922, 8917), List(4231, 8847), List(813, 11001), List(5529, 6706), List(830, 1556), List(8522, 9449), List(4411, 4469), List(1973, 6674), List(985, 9014), List(3633, 4175), List(4844, 9986), List(4410, 7250), List(2075, 10334), List(7519, 7724), List(2132, 4452), List(9356, 10025), List(7112, 9063), List(2496, 5668), List(856, 3127), List(2900, 9693), List(5735, 11096), List(1478, 9297), List(8746, 11035), List(1507, 7783), List(447, 8557), List(2212, 9292), List(8466, 11395), List(5599, 11208), List(1153, 6504), List(9305, 9686), List(6996, 7575), List(6259, 7282), List(1398, 9718), List(3301, 4725), List(1143, 9199), List(5064, 11049), List(4386, 5701), List(1528, 2594), List(298, 4677), List(272, 5708), List(8993, 11262), List(2171, 9641), List(6901, 7688), List(3814, 8693), List(8022, 10573), List(1613, 2143), List(2731, 7763), List(6404, 10265), List(4845, 7154), List(146, 4256), List(4031, 10613), List(710, 6284), List(459, 2501), List(268, 2933), List(3561, 7466), List(2257, 5628), List(2563, 9118), List(2498, 8723), List(5374, 5963), List(5797, 7786), List(5210, 11224), List(5267, 5342), List(5679, 9982), List(194, 10339), List(3621, 5238), List(7509, 11112), List(6286, 7950), List(1282, 4416), List(1562, 6685), List(2969, 3740), List(254, 941), List(3994, 11081), List(8562, 11052), List(5692, 6430), List(2149, 7384), List(1233, 11320), List(3732, 6358), List(10235, 11417), List(5963, 8586), List(1362, 6223), List(1386, 4365), List(1195, 4797), List(4503, 8864), List(2261, 2313), List(3811, 7590), List(5986, 6503), List(982, 10139), List(6708, 9871), List(5643, 9547), List(75, 11155), List(1290, 1624), List(6589, 8459), List(5992, 10455), List(7702, 11483), List(665, 5736), List(200, 9349), List(2874, 9895), List(8013, 8901), List(3405, 10285), List(8221, 9604), List(913, 8467), List(9040, 9872), List(8061, 8568), List(3028, 6548), List(9714, 11314), List(2085, 5655), List(3914, 3931), List(2489, 6270), List(5357, 10065), List(3230, 7436), List(2121, 10947), List(3669, 7483), List(5747, 6463), List(3983, 9336), List(456, 10069), List(5251, 9265), List(4535, 9849), List(6964, 9810), List(9364, 11285), List(44, 5402), List(569, 1086), List(1850, 8390), List(2884, 7149), List(8104, 10493), List(4370, 8469), List(3912, 7591), List(6393, 9994), List(1071, 5619), List(6884, 10231), List(5573, 7222), List(4339, 6123), List(1120, 5511), List(7175, 10380), List(2607, 4023), List(2424, 10732), List(1304, 11455), List(1808, 2098), List(4912, 8644), List(1904, 2560), List(7967, 8101), List(5823, 7747), List(4331, 8864), List(8966, 9303), List(4257, 9881), List(893, 2472), List(953, 6687), List(7747, 9266), List(2202, 3156), List(7492, 7993), List(1950, 7816), List(6564, 8132), List(5633, 11006), List(6275, 8029), List(867, 11050), List(5590, 7926), List(9891, 9997), List(5218, 6068), List(6589, 9882), List(667, 10238), List(894, 2293), List(3261, 8546), List(6150, 6802), List(2654, 2684), List(76, 348), List(3291, 9886), List(3129, 9558), List(1634, 3988), List(2790, 5928), List(629, 4469), List(4302, 6217), List(6203, 6813), List(2438, 11138), List(4140, 8141), List(6980, 9888), List(10149, 10413), List(2471, 10497), List(1814, 6026), List(742, 4531), List(9716, 10531), List(2400, 5369), List(7837, 8004), List(1643, 3700), List(5357, 8455), List(1405, 4286), List(4880, 8301), List(7120, 8363), List(6996, 10771), List(3546, 10004), List(6132, 8451), List(2357, 5672), List(3694, 4240), List(3100, 9917), List(2508, 5841), List(6933, 9668), List(4937, 5802), List(890, 7785), List(2294, 4569), List(711, 9732), List(5377, 6074), List(2008, 11153), List(2010, 5564), List(4778, 7243), List(5022, 7603), List(550, 1678), List(7234, 9781), List(1819, 5215), List(4124, 9836), List(5870, 6357), List(1694, 9650), List(1625, 7601), List(1713, 7448), List(8939, 9684), List(2817, 6946), List(3151, 6068), List(4429, 7439), List(5831, 10566), List(5101, 6556), List(3081, 4548), List(7962, 9180), List(312, 11312), List(7504, 7548), List(6287, 7584), List(6471, 10145), List(9177, 9448), List(7160, 11121), List(390, 3274), List(2014, 4528), List(2490, 10873), List(7115, 7214), List(3417, 11263), List(3761, 4657), List(6749, 8554), List(4636, 10519), List(1424, 6914), List(4712, 8851), List(2442, 6668), List(3688, 8501), List(1694, 5462), List(5465, 10751), List(756, 7165), List(3624, 4544), List(2217, 10872), List(8158, 8314), List(3459, 9580), List(3794, 5894), List(962, 11555), List(5881, 6091), List(4630, 9549), List(524, 11329), List(8898, 9228), List(4657, 4956), List(4130, 8445), List(1076, 5426), List(2084, 5216), List(5590, 8544), List(603, 6899), List(7266, 9961), List(3773, 3862), List(4565, 7969), List(3804, 8810), List(3191, 10273), List(9626, 11256), List(3527, 3806), List(5204, 11110), List(6515, 8457), List(130, 6837), List(1897, 8399), List(3120, 5145), List(8285, 9536), List(7378, 10552), List(991, 5853), List(6942, 11153), List(187, 4338), List(1651, 8343), List(4440, 9401), List(3703, 8354), List(747, 8876), List(9519, 10985), List(3380, 6388), List(4099, 6075), List(2755, 6336), List(370, 3641), List(2326, 10360), List(7584, 10778), List(821, 4102), List(5440, 11178), List(8857, 11051), List(1383, 3051), List(675, 1244), List(3906, 9063), List(695, 8312), List(2751, 5813), List(3496, 10885), List(5674, 10069), List(1324, 11489), List(2780, 5053), List(5366, 5752), List(1530, 9113), List(752, 1649), List(9246, 10984), List(3685, 10757), List(223, 6223), List(4300, 8586), List(8997, 11411), List(459, 1777), List(6313, 6390), List(3290, 5690), List(6180, 6800), List(6494, 8653), List(4369, 6851), List(3878, 9243), List(229, 5637), List(2357, 2452), List(514, 8250), List(6773, 11451), List(1663, 10931), List(7351, 10933), List(640, 7800), List(4810, 6944), List(4488, 10865), List(3672, 4829), List(2596, 11486), List(6538, 7797), List(4984, 11446), List(7596, 10333), List(3988, 6728), List(3045, 5835), List(2893, 7693), List(1181, 10756), List(1952, 9879), List(4441, 10645), List(1770, 7364), List(1828, 11506), List(7769, 8948), List(2798, 7806), List(8266, 9754), List(2356, 5209), List(2442, 6481), List(2414, 4433), List(953, 8273), List(4062, 4583), List(10075, 10761), List(455, 10248), List(10278, 10366), List(260, 7528), List(1910, 3587), List(1029, 5824), List(6507, 8460), List(61, 9570), List(405, 2964), List(2361, 7431), List(5260, 6375), List(6970, 9655), List(2030, 7826), List(776, 5351), List(2309, 7241), List(27, 537), List(4548, 7078), List(2425, 8355), List(5097, 8074), List(7029, 7983), List(3518, 6940), List(3502, 8689), List(1024, 9213), List(6068, 11365), List(1579, 9997), List(5068, 9938), List(6026, 11139), List(4588, 6103), List(1239, 10306), List(2010, 10183), List(1294, 10013), List(1265, 5111), List(6987, 10359), List(1820, 9305), List(7520, 10822), List(5679, 11031), List(2348, 9424), List(1350, 4660), List(3278, 9331), List(2218, 9351), List(8634, 10284), List(6604, 7588), List(5761, 6145), List(6488, 9857), List(11087, 11393), List(476, 7287), List(1004, 7406), List(7879, 7907), List(2148, 5579), List(1907, 2484), List(1561, 1847), List(3391, 10147), List(9029, 10032), List(5719, 10056), List(6873, 8917), List(3490, 7120), List(4858, 5001), List(240, 779), List(1204, 10096), List(2642, 8716), List(2549, 6273), List(703, 6138), List(3349, 6888), List(2055, 5738), List(6337, 8533), List(1486, 5995), List(1114, 10553), List(6324, 7547), List(6766, 8646), List(6122, 10796), List(4429, 10903), List(17, 11445), List(8170, 11065), List(5013, 7167), List(8634, 9479), List(1748, 10317), List(7202, 8395), List(7141, 10371), List(2298, 7751), List(3087, 5925), List(2077, 6062), List(784, 7766), List(5600, 7085), List(6407, 6619), List(6255, 9231), List(7559, 11069), List(5343, 9903), List(6833, 8713), List(5506, 11587), List(17, 3874), List(2702, 8716), List(5408, 7265), List(6991, 9272), List(1227, 3798), List(265, 5107), List(2388, 3830), List(800, 2233), List(3260, 3759), List(517, 5328), List(1943, 6597), List(3775, 11560), List(8544, 8781), List(794, 7299), List(10462, 10512), List(3867, 8116), List(5522, 8683), List(8720, 10700), List(2488, 2906), List(1469, 10097), List(1125, 10287), List(2742, 4708), List(6919, 10685), List(5166, 6577), List(9992, 11502), List(4538, 7008), List(1590, 11555), List(1798, 5842), List(4661, 5129), List(3332, 11340), List(7501, 11040), List(5099, 8738), List(2050, 6063), List(4161, 8189), List(207, 9609), List(5884, 9422), List(520, 5575), List(5771, 10484), List(8758, 10029), List(8388, 10496), List(6235, 8898), List(4179, 4981), List(7950, 10270), List(6671, 9428), List(5081, 7004), List(3682, 8312), List(4776, 6368), List(5920, 10957), List(6445, 7395), List(1899, 5493), List(2406, 6987), List(8092, 9572), List(1157, 7485), List(1188, 7552), List(10830, 11042), List(4759, 4859), List(4136, 5634), List(3045, 4843), List(892, 9661), List(3078, 5700), List(6469, 11522), List(7985, 11553), List(8329, 9111), List(4567, 11455), List(1200, 10945), List(855, 6746), List(8076, 8638), List(1355, 4817), List(358, 9323), List(6788, 9962), List(5076, 5855), List(851, 6223), List(5732, 10855), List(10742, 11171), List(4512, 7210), List(4102, 9032), List(6875, 9557), List(247, 10431), List(10744, 11217), List(1403, 10119), List(968, 4529), List(1061, 6972), List(956, 3014), List(1308, 11013), List(927, 7157), List(5975, 10963), List(76, 2820), List(1447, 6634), List(1163, 6875), List(3100, 7128), List(3630, 3910), List(2907, 8985), List(5457, 7775), List(70, 5257), List(3655, 11322), List(389, 6700), List(2970, 4803), List(4520, 10080), List(7830, 10810), List(6075, 10039), List(598, 1589), List(563, 5540), List(2586, 11229), List(4055, 4998), List(1154, 9391), List(2114, 5003), List(4025, 6287), List(345, 1116), List(4078, 10085), List(2182, 3417), List(2982, 4032), List(4286, 10788), List(7310, 7926), List(5030, 11471), List(4138, 7103), List(769, 5766), List(1726, 1861), List(113, 4149), List(5596, 7129), List(1451, 9735), List(5718, 5806), List(363, 7707), List(361, 11044), List(4932, 10532), List(10283, 11141), List(7024, 8444), List(1759, 11019), List(1004, 5259), List(7736, 10370), List(11158, 11341), List(692, 9868), List(8850, 9832), List(1785, 2791), List(216, 490), List(5542, 5738), List(4138, 5948), List(1894, 9150), List(815, 9120), List(283, 11511), List(1159, 2514), List(896, 3632), List(3545, 8817), List(8464, 9015), List(2177, 2268), List(6414, 9050), List(611, 4402), List(8587, 11300), List(2931, 10055), List(7117, 7480), List(4126, 11199), List(210, 7441), List(3006, 4752), List(2923, 9413), List(8492, 11413), List(8430, 10535), List(1784, 4444), List(9201, 10412), List(8115, 9211), List(735, 8760), List(6521, 9297), List(3025, 5933), List(6610, 8588), List(10968, 11193), List(6926, 10514), List(1221, 2237), List(5835, 9723), List(477, 4937), List(3868, 10759), List(5826, 7725), List(5082, 10425), List(1837, 10844), List(4741, 7880), List(4338, 5955), List(6764, 9405), List(3056, 7848), List(418, 6959), List(1621, 6493), List(6514, 8476), List(4551, 7002), List(399, 8437), List(1959, 8740), List(6005, 9538), List(1184, 3459), List(117, 8724), List(3254, 4830), List(2114, 6776), List(9858, 10695), List(4533, 9055), List(2167, 6410), List(4510, 7351), List(76, 9854), List(5810, 10201), List(9201, 9607), List(5345, 8152), List(5185, 10149), List(5152, 7757), List(1511, 8176), List(444, 11189), List(2970, 5421), List(3532, 6622), List(5823, 6649), List(8197, 9909), List(811, 3254), List(1600, 10096), List(2741, 8752), List(2744, 8269), List(7635, 11337), List(125, 5932), List(316, 2494), List(8255, 10264), List(5165, 8342), List(9430, 10002), List(521, 9315), List(6848, 10176), List(7429, 9929), List(6216, 6701), List(490, 4717), List(2510, 2561), List(335, 642), List(2301, 8049), List(8402, 9910), List(8832, 9494), List(7865, 10459), List(3355, 7460), List(6488, 8328), List(1049, 9784), List(10226, 11225), List(4340, 4822), List(3932, 9723), List(4661, 10098), List(2720, 3687), List(1882, 3342), List(6266, 6414), List(7977, 11050), List(1494, 8895), List(8042, 11445), List(9090, 9910), List(7780, 9755), List(538, 570), List(4354, 11294), List(8303, 9530), List(4941, 8610), List(3929, 6392), List(7597, 7796), List(8631, 8807), List(551, 805), List(10268, 10296), List(3236, 4893), List(963, 9609), List(5603, 11146), List(1618, 11001), List(7867, 8596), List(7994, 8371), List(1433, 4805), List(2830, 7588), List(2486, 7778), List(5715, 8354), List(3044, 5073), List(1007, 1206), List(6151, 11136), List(3195, 5242), List(548, 10683), List(5018, 10119), List(3455, 9518), List(72, 7721), List(1438, 11191), List(3217, 10104), List(2059, 9589), List(624, 8234), List(3239, 7419), List(4868, 9771), List(1585, 7454), List(1373, 3599), List(2149, 3066), List(753, 8055), List(429, 4733), List(401, 9101), List(1619, 10421), List(5961, 7605), List(670, 11211), List(2941, 4170), List(1636, 10775), List(1605, 9210), List(3157, 4734), List(6092, 9751), List(5278, 6794), List(1534, 10498), List(4001, 9031), List(267, 591), List(4064, 11265), List(2445, 3185), List(7952, 10723), List(784, 2049), List(3244, 4329), List(3467, 10228), List(5800, 6317), List(1412, 11417), List(5259, 8622), List(3738, 4083), List(1902, 2384), List(2862, 4412), List(4102, 9463), List(2744, 5854), List(5598, 11471), List(870, 1419), List(3299, 4386), List(3111, 10751), List(1019, 7177), List(3145, 10335), List(122, 6629), List(2023, 7225), List(2135, 7466), List(3694, 4915), List(708, 6726), List(854, 6551), List(1733, 3487), List(6999, 7930), List(3288, 6856), List(1134, 2404), List(139, 7737), List(8258, 10779), List(518, 3569), List(9098, 11170), List(2814, 10356), List(316, 5340), List(2438, 11008), List(7686, 10738), List(440, 11233), List(5636, 10019), List(2300, 4658), List(7198, 11149), List(3110, 10125), List(4822, 7816), List(930, 4452), List(2719, 4053), List(2428, 7287), List(5351, 10789), List(6996, 7258), List(2582, 11137), List(3351, 3771), List(1124, 4668), List(683, 10587), List(4167, 6020), List(890, 1239), List(50, 3477), List(3563, 7976), List(5304, 6405), List(2002, 4038), List(2915, 6974), List(7416, 11385), List(6731, 11282), List(4186, 10584), List(5733, 5764), List(5418, 10856), List(4895, 9583), List(661, 2318), List(4081, 6626), List(760, 2297), List(4932, 7930), List(5978, 9732), List(133, 5582), List(9780, 10170), List(537, 10361), List(2332, 3391), List(7471, 8059), List(850, 8606), List(8253, 9226), List(6097, 10363), List(3731, 5466), List(1484, 4987), List(1021, 3011), List(3024, 7267), List(1949, 6255), List(1553, 6255), List(5159, 6781), List(212, 10197), List(1205, 8955), List(7120, 7428), List(6117, 8736), List(1676, 8540), List(5194, 9219), List(7699, 10518), List(6558, 9610), List(9600, 10360), List(8295, 8297), List(6395, 11309), List(359, 4181), List(2687, 3336), List(1633, 7308), List(8725, 11264), List(6352, 7448), List(5149, 5662), List(4027, 8968), List(1537, 10983), List(4576, 5800), List(1155, 8437), List(1005, 11122), List(2110, 3705), List(6170, 9097), List(6046, 7341), List(4487, 9892), List(2333, 5440), List(1682, 10583), List(5233, 7238), List(4510, 10815), List(957, 4665), List(468, 4474), List(4160, 10436), List(6006, 11325), List(4104, 7094), List(4696, 4754), List(5623, 10806), List(5220, 9635), List(296, 1923), List(1133, 9213), List(3345, 7227), List(319, 594), List(2877, 5661), List(2906, 10563), List(3723, 10785), List(6703, 10657), List(1794, 8141), List(5263, 8958), List(5710, 10401), List(4560, 7495), List(916, 1981), List(4079, 4189), List(5667, 6540), List(1930, 4245), List(5111, 8537), List(3676, 7182), List(37, 4264), List(1083, 5312), List(2120, 10004), List(3393, 3861), List(9313, 9848), List(5201, 8430), List(5237, 10339), List(2310, 9347), List(6259, 7583), List(6531, 11489), List(779, 1868), List(435, 2058), List(2540, 11529), List(1683, 6970), List(7345, 11413), List(6280, 11089), List(6158, 10160), List(9673, 11322), List(2928, 5195), List(7028, 9262), List(8179, 8606), List(578, 831), List(1331, 5764), List(3230, 3281), List(330, 6364), List(9875, 10675), List(2468, 6149), List(942, 5430), List(133, 2817), List(131, 6154), List(4274, 6885), List(2379, 10241), List(1377, 1571), List(250, 7539), List(4613, 10488), List(912, 3686), List(3745, 4262), List(2642, 7618), List(4049, 4673), List(19, 1375), List(7654, 8734), List(434, 3280), List(4632, 8636), List(2139, 3964), List(1865, 11309), List(4246, 4436), List(2850, 8671), List(8636, 11460), List(11313, 11523), List(3539, 9647), List(3912, 8697), List(2812, 9318), List(3495, 9348), List(4892, 11377), List(5778, 9484), List(1695, 3142), List(5857, 8087), List(6144, 11527), List(3840, 9760), List(4960, 9791), List(602, 770), List(5509, 10787), List(2938, 11120), List(5323, 7399), List(4648, 7984), List(6389, 10577), List(811, 2075), List(1409, 10103), List(220, 8023), List(2907, 8774), List(2825, 6520), List(4674, 10336), List(5078, 10951), List(7031, 10983), List(2148, 4026), List(4768, 9971), List(5599, 9899), List(1311, 5781), List(4816, 6255), List(2396, 7511), List(1830, 2404), List(4877, 6881), List(1505, 5273), List(1797, 9811), List(2507, 10910), List(3692, 5674), List(6609, 8607), List(781, 2182), List(3334, 4653), List(7278, 7426), List(1403, 10981), List(5259, 6020), List(2485, 8276), List(6623, 8663), List(8739, 11133), List(4384, 5793), List(950, 3307), List(5750, 9263), List(522, 10185), List(553, 9498), List(608, 3543), List(1865, 9699), List(4692, 7077), List(6995, 10871), List(4153, 6045), List(3010, 11480), List(9316, 9609), List(5773, 10563), List(389, 7562), List(1406, 4462), List(764, 1023), List(2467, 7296), List(944, 6094), List(2007, 2585), List(658, 9672), List(3562, 8960), List(1310, 7383), List(2808, 4556), List(2493, 5484), List(3368, 9094), List(6759, 8500), List(1121, 1445), List(2459, 2867), List(1084, 8733), List(3988, 8021), List(597, 2199), List(968, 4586), List(397, 1387), List(1864, 2657), List(9241, 11478), List(6808, 11021), List(6562, 7582), List(2601, 8585), List(7057, 7561), List(9295, 10960), List(8605, 10513), List(795, 2564), List(2138, 10746), List(4432, 4655), List(920, 7174), List(1174, 4812), List(3739, 10326), List(6951, 7515), List(5774, 6950), List(9303, 11201), List(1845, 7087), List(1274, 3888), List(1769, 8031), List(1273, 10079), List(1433, 8082), List(5440, 9706), List(3984, 9726), List(684, 4022), List(9548, 11382), List(243, 10695), List(1452, 9263), List(2109, 7318), List(985, 10551), List(5242, 5934), List(6186, 8183), List(821, 2980), List(5595, 6961), List(72, 10998), List(9034, 9067), List(6680, 7937), List(2067, 4813), List(6922, 7470), List(5857, 7900), List(910, 11316), List(3747, 7130), List(102, 3643), List(4831, 10887), List(3140, 7657), List(2811, 8879), List(1770, 6697), List(1240, 3499), List(7216, 10549), List(4413, 4897), List(9208, 10509), List(4222, 8335), List(4540, 6924), List(2265, 7807), List(4663, 9209), List(8856, 9303), List(5659, 6730), List(10972, 11019), List(2073, 11020), List(208, 6671), List(698, 6306), List(4777, 9496), List(2160, 7232), List(8825, 11121), List(2533, 5528), List(3011, 8536), List(3247, 4871), List(2072, 5133), List(2228, 5646), List(7632, 11551), List(5865, 7737), List(9882, 10049), List(9809, 10510), List(4587, 10503), List(6294, 7096), List(1215, 4731), List(442, 2529), List(4151, 6940), List(2368, 10537), List(1719, 10091), List(2916, 11308), List(1610, 8643), List(1374, 5892), List(997, 10106), List(4073, 8188), List(6492, 9713), List(236, 10947), List(2359, 9670), List(5568, 7342), List(4501, 6191), List(6216, 7563), List(1264, 4973), List(2886, 5400), List(5682, 7629), List(3908, 9060), List(7772, 10376), List(9947, 10043), List(6495, 10361), List(3821, 9815), List(2809, 6873), List(412, 2663), List(8784, 10315), List(2774, 7818), List(5249, 11130), List(1497, 3639), List(4218, 10390), List(1974, 6422), List(2657, 10616), List(5826, 6977), List(9124, 9602), List(3090, 3301), List(2641, 5195), List(3337, 9594), List(8688, 10203), List(615, 9788), List(6657, 10288), List(4816, 7491), List(7620, 9581), List(6997, 10356), List(2213, 9040), List(8299, 9869), List(2697, 5477), List(2331, 10981), List(5975, 10833), List(6405, 9663), List(6276, 7563), List(8266, 10860), List(1733, 2926), List(5652, 8113), List(3560, 4539), List(5179, 6203), List(1376, 7792), List(2682, 4041), List(981, 10646), List(8164, 9802), List(65, 7412), List(158, 4193), List(5555, 11563), List(3776, 6234), List(311, 4435), List(6824, 10936), List(8347, 9105), List(2358, 8239), List(9742, 11061), List(6380, 10895), List(5005, 9591), List(5497, 7020), List(4993, 5043), List(1949, 3466), List(2594, 10586), List(10128, 10723), List(7342, 9936), List(1110, 9312), List(9136, 9157), List(4838, 11521), List(3475, 7568), List(6959, 7165), List(4299, 10489), List(7203, 9777), List(6055, 7698), List(4123, 6291), List(8231, 10219), List(9000, 9269), List(3771, 7337), List(3334, 5084), List(404, 411), List(1687, 7788), List(973, 2783), List(5329, 10977), List(7373, 11127), List(4824, 7277), List(6446, 7704), List(9333, 11549), List(940, 3774), List(3416, 5833), List(2548, 6777), List(10330, 10426), List(7902, 11067), List(4750, 7513), List(4264, 11003), List(5162, 5737), List(4255, 6753), List(3252, 8061), List(5253, 5855), List(7422, 11369), List(4430, 5064), List(2255, 6151), List(5842, 8879), List(4562, 5183), List(1487, 4293), List(5367, 10306), List(14, 6618), List(4491, 6471), List(2963, 4925), List(1694, 4771), List(4679, 9151), List(8533, 10533), List(4030, 4541), List(8149, 9789), List(654, 9580), List(5695, 11461), List(4663, 7867), List(2550, 3416), List(7837, 8736), List(7654, 9783), List(5264, 5990), List(3149, 7128), List(2325, 4237), List(2046, 4822), List(5934, 10696), List(2429, 7970), List(4886, 6569), List(6739, 9403), List(3229, 6333), List(4934, 9269), List(1885, 7348), List(4997, 7339), List(4532, 8700), List(3107, 4623), List(1949, 8272), List(674, 4920), List(8299, 10837), List(4118, 9622), List(4498, 9089), List(1201, 7066), List(1653, 3965), List(4517, 10270), List(164, 5757), List(100, 4052), List(5671, 9131), List(3269, 4577), List(8370, 11427), List(7310, 11447), List(7027, 8880), List(4480, 7355), List(3291, 5275), List(1806, 4557), List(395, 10766), List(1267, 10695), List(358, 4468), List(1454, 4105), List(172, 5998), List(5345, 10250), List(7986, 8404), List(4689, 8633), List(6960, 7254), List(1826, 2930), List(81, 9263), List(3187, 6056), List(3169, 11112), List(454, 1897), List(4060, 8839), List(7699, 8347), List(2711, 3094), List(3312, 3469), List(537, 619), List(5793, 10790), List(3305, 6462), List(6393, 8311), List(259, 10474), List(192, 9252), List(3112, 6821), List(8103, 9339), List(218, 1805), List(3045, 5599), List(6327, 9943), List(381, 3489), List(4150, 7951), List(447, 7492), List(4852, 5025), List(2553, 8520), List(598, 11071), List(8318, 10432), List(7941, 8230), List(713, 5167), List(2917, 9736), List(708, 4823), List(3569, 7447), List(611, 11306), List(8990, 9549), List(905, 5337), List(2883, 7119), List(5035, 11498), List(2795, 5020), List(5785, 9744), List(88, 8498), List(4653, 8198), List(4606, 9106), List(6502, 8604), List(7897, 10560), List(731, 9129), List(3229, 11139), List(4970, 9568), List(6673, 9425), List(2070, 4737), List(7173, 7496), List(132, 11429), List(4564, 5847), List(2193, 9274), List(5056, 6309), List(393, 3068), List(3371, 10441), List(5767, 11016), List(4886, 6837), List(801, 6461), List(407, 872), List(998, 6975), List(7839, 9400), List(7720, 11398), List(6313, 7927), List(6559, 11366), List(8338, 10279), List(1335, 4116), List(4871, 6155), List(2272, 10856), List(2391, 5852), List(3887, 8614), List(10048, 10526), List(7579, 11166), List(2044, 5744), List(5555, 9416), List(333, 5245), List(4899, 10051), List(5085, 7023), List(3777, 7695), List(3309, 5375), List(5086, 9877), List(1230, 6170), List(1536, 3244), List(3070, 8742), List(1569, 2603), List(4955, 8081), List(2188, 5092), List(7126, 10258), List(4758, 10950), List(95, 1293), List(3825, 6581), List(8646, 10408), List(6794, 10428), List(2121, 6499), List(4481, 11581), List(703, 9285), List(431, 11041), List(1296, 9799), List(5100, 11064), List(6154, 6311), List(3721, 8860), List(5634, 10971), List(8884, 10172), List(802, 6231), List(1762, 8259), List(4434, 7978), List(506, 9121), List(2037, 10184), List(8365, 11270), List(2283, 7207), List(2262, 6330), List(9130, 10578), List(2711, 3712), List(3625, 8748), List(8169, 8325), List(2804, 9538), List(5703, 8482), List(541, 1356), List(5047, 6865), List(8785, 9762), List(2773, 7192), List(1431, 1864), List(2645, 5694), List(5191, 9246), List(6414, 10156), List(5101, 10484), List(9830, 10558), List(4536, 8231), List(1824, 11365), List(2020, 9025), List(6086, 7092), List(3479, 8522), List(3856, 8472), List(1118, 10385), List(1631, 5308), List(3907, 11443), List(3563, 4463), List(211, 4985), List(4437, 7471), List(3503, 10047), List(53, 7028), List(1476, 4616), List(4003, 8118), List(4056, 11162), List(5948, 7508), List(266, 11458), List(605, 4508), List(10715, 11072), List(528, 2598), List(8005, 8617), List(5694, 9843), List(8715, 9716), List(932, 10006), List(10271, 10277), List(7993, 10485), List(4691, 8118), List(6812, 10178), List(4640, 10782), List(681, 5442), List(1431, 4442), List(4717, 5552), List(2286, 2512), List(1587, 4955), List(5592, 5752), List(3902, 9540), List(1023, 6310), List(4476, 6594), List(2760, 11413), List(4713, 5783), List(1822, 10864), List(10817, 11325), List(8907, 9485), List(1687, 10447), List(4703, 8478), List(2934, 10253), List(1843, 2292), List(2242, 8979), List(1989, 8533), List(4550, 10865), List(1496, 2184), List(4233, 8714), List(5516, 10429), List(2085, 5208), List(4351, 6491), List(8516, 8701), List(250, 9369), List(1549, 4447), List(7999, 10626), List(8895, 10949), List(6746, 11005), List(4569, 11265), List(1766, 6367), List(2765, 7569), List(47, 5253), List(6440, 6734), List(1201, 10530), List(4028, 7908), List(4034, 4690), List(6057, 10379), List(290, 1224), List(797, 2718), List(1418, 6034), List(1884, 6773), List(6571, 8156), List(1632, 3519), List(1069, 4345), List(9126, 10673), List(6235, 11590), List(3587, 3597), List(2496, 9222), List(254, 1917), List(3798, 7981), List(3012, 7826), List(1893, 10649), List(114, 5320), List(3448, 4192), List(8934, 10853), List(3724, 8971), List(1427, 1959), List(375, 6758), List(2765, 3381), List(588, 7805), List(2391, 11276), List(2505, 2518), List(1895, 7662), List(698, 1557), List(4247, 7965), List(3096, 6369), List(6832, 8439), List(2474, 3582), List(1655, 7451), List(2470, 6846), List(8977, 9395), List(482, 7005), List(4620, 8146), List(1946, 7600), List(764, 6691), List(4277, 11190), List(574, 9977), List(2752, 9161), List(2490, 4465), List(2751, 8936), List(6437, 8290), List(3730, 9516), List(2424, 6097), List(6190, 11042), List(8994, 10099), List(4849, 8541), List(6468, 10205), List(4417, 6632), List(4248, 10795), List(6144, 11047), List(2603, 8664), List(395, 7359), List(5152, 9481), List(5218, 11232), List(1107, 2088), List(3629, 5246), List(749, 10516), List(1101, 8689), List(3582, 4676), List(3279, 4867), List(5362, 7197), List(754, 7827), List(10334, 11193), List(7842, 10129), List(4239, 6868), List(526, 4967), List(5300, 9702), List(5544, 10062), List(969, 2504), List(6435, 10041), List(2569, 5646), List(707, 4224), List(2110, 4543), List(3075, 6915), List(5367, 7167), List(516, 11045), List(2296, 6396), List(7110, 9806), List(916, 5502), List(730, 2114), List(1607, 8803), List(9446, 9576), List(2536, 10020), List(1440, 3967), List(6794, 10509), List(9781, 10054), List(1190, 3038), List(787, 6031), List(1705, 2171), List(1725, 3547), List(1617, 6488), List(5476, 7460), List(5197, 8045), List(1241, 7140), List(4609, 4842), List(6376, 8656), List(371, 7257), List(5154, 8348), List(2974, 9091), List(2423, 5016), List(8059, 10490), List(2261, 6940), List(7742, 9093), List(6744, 9991), List(6687, 7205), List(2855, 3892), List(577, 8264), List(7015, 8764), List(5996, 8785), List(5213, 5895), List(5993, 8487), List(6, 1278), List(5957, 6578), List(5614, 9622), List(4869, 5304), List(4765, 10616), List(383, 1201), List(3748, 5048), List(4589, 5664), List(8014, 10316), List(4821, 10925), List(4599, 6382), List(37, 3947), List(2827, 7859), List(6352, 9709), List(5719, 9796), List(1889, 6556), List(2618, 6931), List(526, 3357), List(802, 2474), List(1020, 1613), List(3607, 11582), List(25, 2782), List(6363, 9494), List(9720, 10070), List(3107, 10478), List(1975, 8932), List(7833, 11035), List(1097, 2018), List(9200, 10943), List(107, 7695), List(174, 8917), List(6361, 10552), List(1972, 6382), List(3871, 5397), List(1808, 6725), List(4824, 11172), List(1472, 10940), List(326, 6278), List(1126, 3887), List(4450, 8487), List(6442, 8447), List(1220, 3522), List(1024, 3610), List(134, 3075), List(2985, 4257), List(6696, 9495), List(1586, 5565), List(1376, 8199), List(6567, 7395), List(3669, 11305), List(1867, 10688), List(2361, 5561), List(595, 11017), List(3417, 8051), List(8737, 9347), List(1894, 6849), List(4318, 8718), List(1606, 3184), List(3037, 11213), List(3319, 10145), List(1043, 4010), List(8618, 11318), List(3759, 4001), List(3939, 6820), List(4651, 5336), List(14, 1064), List(1104, 8800), List(6109, 11024), List(6290, 7652), List(2351, 4442), List(1162, 6526), List(561, 4616), List(7902, 10774), List(5820, 7888), List(3180, 11090), List(317, 1223), List(64, 777), List(2868, 9283), List(3639, 8406), List(4265, 5650), List(1928, 7907), List(6040, 7073), List(8156, 11041), List(2732, 6389), List(4478, 10080), List(2661, 7677), List(3383, 6881), List(9546, 9620), List(8696, 11170), List(2051, 2995), List(5346, 6103), List(2782, 3473), List(4896, 10778), List(763, 4319), List(3837, 7990), List(191, 8065), List(1044, 10196), List(2040, 5465), List(1854, 9247), List(5555, 6627), List(6539, 9803), List(3645, 4787), List(4419, 8345), List(3154, 5681), List(2615, 4649), List(7941, 9897), List(4758, 11194), List(121, 9174), List(7093, 8110), List(248, 8949), List(9370, 10683), List(7933, 8501), List(3133, 3299), List(1302, 4196), List(5163, 5995), List(2733, 5809), List(362, 9236), List(558, 6896), List(8338, 9718), List(208, 8769), List(3174, 8935), List(3384, 4049), List(803, 3694), List(8483, 10072), List(1858, 8211), List(7517, 9727), List(353, 1953), List(3782, 4095), List(5927, 10713), List(5146, 10902), List(145, 11049), List(7506, 8814), List(629, 1070), List(7484, 10718), List(5834, 7489), List(6667, 8244), List(3088, 9541), List(4745, 6771), List(973, 10679), List(937, 8770), List(2654, 6051), List(63, 1598), List(5515, 8675), List(10064, 10848), List(1744, 3386), List(4737, 6129), List(9243, 10884), List(3520, 8417), List(4855, 10322), List(1807, 11255), List(4296, 5605), List(2976, 4008), List(457, 5285), List(3977, 6791), List(3046, 9665), List(399, 10942), List(5960, 8917), List(1512, 9802), List(4910, 10379), List(3131, 11466), List(1982, 6533), List(4029, 6200), List(338, 7256), List(1329, 8597), List(923, 3745), List(109, 788), List(2249, 7062), List(5562, 11473), List(5676, 6125), List(3403, 6677), List(9571, 9760), List(4867, 10682), List(7365, 8528), List(4898, 5831), List(10130, 11444), List(7542, 9918), List(264, 5240), List(2000, 3325), List(327, 9726), List(6483, 11294), List(1533, 4613), List(2343, 10080), List(2217, 5245), List(5140, 8747), List(7354, 7588), List(4978, 10671), List(5325, 7746), List(3771, 4979), List(992, 11055), List(8963, 11193), List(625, 3125), List(5320, 10785), List(6440, 7783), List(208, 7159), List(302, 10204), List(4495, 11052), List(3502, 6632), List(4066, 8660), List(4596, 4688), List(3813, 4050), List(292, 2319), List(3557, 9722), List(10491, 11584), List(1782, 4512), List(10923, 11214), List(1962, 9583), List(3515, 6463), List(464, 3715), List(863, 7396), List(6152, 7127), List(5074, 6541), List(6251, 10489), List(1858, 8829), List(1347, 10599), List(7207, 9365), List(2004, 2238), List(9419, 11543), List(1919, 10236), List(7881, 8555), List(8670, 8981), List(5031, 10227), List(8544, 10562), List(2477, 8285), List(2183, 7838), List(223, 10045), List(1749, 10764), List(6363, 11080), List(40, 11092), List(4434, 9190), List(2674, 8075), List(1445, 7320), List(2369, 7439), List(8155, 10228), List(3450, 7515), List(4322, 7444), List(590, 5493), List(6094, 9350), List(1904, 8773), List(2372, 10339), List(3265, 4729), List(524, 709), List(4288, 4827), List(3319, 4965), List(2233, 4518), List(2670, 4519), List(2671, 8127), List(975, 4553), List(2442, 11458), List(3034, 9118), List(2168, 5971), List(6509, 6717), List(10158, 11077), List(6665, 7230), List(292, 709), List(1945, 7619), List(3898, 8405), List(1431, 4954), List(5634, 6490), List(940, 8100), List(6043, 10859), List(257, 1654), List(3746, 11017), List(10022, 10435), List(808, 9112), List(133, 9697), List(1062, 10160), List(6058, 8888), List(3857, 8000), List(1646, 9430), List(1465, 10550), List(7721, 10070), List(1367, 7763), List(4142, 11367), List(10176, 11252), List(678, 10170), List(4630, 7923), List(3879, 9452), List(169, 11232), List(2124, 2265), List(7798, 8223), List(7, 6740), List(1003, 8425), List(3372, 4925), List(9197, 11052), List(1884, 5407), List(6020, 9885), List(1039, 8055), List(5478, 11588), List(6455, 9059), List(3432, 8359), List(4894, 11537), List(3277, 5038), List(9061, 11164), List(2580, 2666), List(2082, 8805), List(4444, 7544), List(2047, 9750), List(216, 4231), List(5730, 8776), List(4124, 5095), List(8955, 10364), List(1269, 6423), List(4285, 5952), List(4727, 7051), List(10785, 11494), List(1549, 2276), List(5626, 8803), List(146, 6094), List(6051, 10295), List(5404, 6512), List(3439, 8375), List(858, 8020), List(4186, 9356), List(6608, 8900), List(204, 3066), List(7302, 10220), List(8417, 9907), List(5332, 7575), List(8792, 9030), List(6127, 8977), List(1248, 10807), List(3574, 9889), List(2579, 8806), List(647, 2481), List(3915, 7149), List(6380, 9773), List(1490, 7307), List(2008, 2574), List(5285, 10738), List(5567, 9670), List(7803, 9990), List(6960, 8547), List(826, 5048), List(1359, 5511), List(3069, 8791), List(1326, 9535), List(7303, 8886), List(4526, 5209), List(2196, 8637), List(5305, 9111), List(1568, 2652), List(3927, 4126), List(6519, 8023), List(3341, 10418), List(5012, 5102), List(4323, 7509), List(1876, 3936), List(380, 6809), List(134, 4124), List(3233, 9572), List(6450, 7105), List(430, 510), List(2490, 8710), List(2646, 2807), List(6408, 10262), List(9078, 9908), List(4563, 6565), List(306, 8930), List(1576, 5522), List(3473, 8628), List(1135, 1615), List(1520, 2180), List(4412, 10533), List(4558, 9604), List(2724, 4568), List(1664, 5342), List(387, 6825), List(4279, 4527), List(953, 3264), List(1532, 2190), List(5019, 7720), List(9194, 11372), List(4643, 8372), List(2253, 5333), List(9679, 9909), List(692, 1395), List(9028, 9390), List(6908, 7932), List(3673, 9039), List(6694, 8912), List(4602, 5338), List(684, 753), List(2787, 7899), List(340, 10742), List(3299, 9737), List(6584, 7993), List(5405, 10765), List(21, 7764), List(642, 10326), List(8145, 8898), List(3162, 10405), List(3473, 7823), List(3435, 5087), List(6236, 7660), List(8290, 10750), List(2667, 9645), List(4217, 8506), List(5213, 10945), List(6675, 7707), List(5124, 10873), List(3218, 4271), List(8102, 8420), List(3918, 4682), List(8434, 10879), List(3270, 10096), List(1219, 6523), List(849, 4738), List(8569, 10515), List(6032, 9708), List(3761, 3917), List(6599, 9001), List(2896, 8542), List(2984, 4225), List(2328, 9024), List(3200, 8953), List(774, 6257), List(892, 10450), List(6556, 11556), List(6305, 7773), List(6251, 10920), List(308, 10399), List(2581, 6437), List(681, 2279), List(74, 3587), List(4836, 6807), List(7211, 9915), List(2416, 5057), List(1445, 4368), List(8041, 10372), List(3712, 6253), List(6198, 7502), List(4546, 9862), List(971, 2233), List(1435, 7063), List(6846, 7723), List(10087, 10568), List(2432, 5940), List(7874, 8165), List(3837, 8584), List(3008, 4595), List(98, 5462), List(1128, 8983), List(8922, 10013), List(6069, 11414), List(8080, 11424), List(3794, 8887), List(4157, 6495), List(1731, 3799), List(6247, 9242), List(3467, 6048), List(1481, 9286), List(894, 5554), List(2035, 4210), List(5133, 6747), List(579, 4230), List(6124, 8842), List(5530, 8103), List(2192, 7577), List(1354, 11396), List(6154, 10182), List(817, 7027), List(849, 9194), List(3035, 5987), List(3398, 10765), List(879, 11288), List(533, 4235), List(3767, 5155), List(6939, 10115), List(1738, 3815), List(7871, 10095), List(9027, 9783), List(5042, 10392), List(190, 4246), List(436, 7685), List(780, 1079), List(7338, 10763), List(4418, 6778), List(6220, 10778), List(1953, 8291), List(5254, 10433), List(7181, 9998), List(8635, 9151), List(1916, 8409), List(2876, 10437), List(3693, 10659), List(3996, 4052), List(771, 10011), List(4780, 8298), List(9162, 11297), List(7209, 9013), List(2818, 4016), List(2565, 3570), List(1935, 9590), List(1007, 5565), List(4558, 6384), List(4902, 6948), List(3777, 6573), List(5819, 5896), List(2589, 7347), List(2835, 4370), List(1558, 6607), List(1363, 3133), List(1063, 10011), List(4614, 6666), List(2513, 5258), List(10081, 10641), List(7555, 10747), List(174, 4436), List(8248, 8459), List(3143, 9037), List(7336, 9131), List(8955, 10795), List(1259, 6166), List(5055, 6035), List(6082, 10039), List(2202, 8190), List(3441, 5469), List(5736, 9402), List(5691, 10383), List(920, 2913), List(6962, 9829), List(4682, 11122), List(10628, 11160), List(5, 9703), List(3674, 4135), List(5071, 6918), List(8155, 11277), List(1558, 5802), List(97, 9642), List(775, 8574), List(775, 2158), List(346, 6182), List(4484, 6569), List(4419, 9557), List(10200, 11248), List(5513, 10619), List(5286, 11394), List(4066, 7749), List(327, 4627), List(7902, 11181), List(2601, 9935), List(4067, 4187), List(5992, 9341), List(2759, 4859), List(1797, 6168), List(5372, 7381), List(1416, 2312), List(7274, 10831), List(1207, 8554), List(4185, 5347), List(580, 5423), List(1760, 9669), List(2037, 8257), List(7195, 11477), List(8604, 9359), List(4337, 6118), List(7188, 8054), List(1989, 8216), List(781, 1922), List(7759, 10472), List(4865, 5456), List(3048, 10223), List(7277, 9974), List(1396, 10331), List(4291, 6123), List(4228, 11436), List(364, 3704), List(8085, 11581), List(6460, 10102), List(2485, 11399), List(6267, 10461), List(2765, 7252), List(2946, 3880), List(8233, 9200), List(1514, 8458), List(203, 5449), List(7326, 10216), List(4616, 7761), List(4403, 10097), List(1788, 4496), List(700, 8884), List(10400, 10854), List(1312, 7950), List(1747, 7878), List(4272, 10553), List(3181, 9008), List(1278, 8339), List(7012, 7932), List(8579, 8682), List(6409, 10113), List(7307, 11263), List(1550, 6960), List(1737, 9038), List(3855, 8171), List(2852, 8725), List(990, 8057), List(2286, 3618), List(1335, 9223), List(6428, 11294), List(8329, 11136), List(1170, 10876), List(309, 8073), List(2448, 5831), List(2410, 4593), List(359, 1774), List(3571, 5379), List(4089, 10472), List(7275, 8692), List(7798, 8467), List(19, 2083), List(3338, 5585), List(6326, 10236), List(698, 4623), List(2754, 6288), List(3339, 9193), List(1004, 5861), List(3957, 11457), List(10335, 11152), List(8695, 9365), List(6608, 10299), List(2776, 6986), List(3731, 8670), List(3213, 6987), List(1088, 7437), List(2119, 2515), List(5255, 7064), List(3148, 5811), List(8867, 11542), List(1028, 4353), List(4047, 10569), List(2110, 8064), List(2768, 9727), List(1201, 1837), List(59, 10126), List(1301, 8834), List(8928, 11414), List(4809, 8825), List(5117, 6726), List(2790, 4009), List(2292, 3732), List(2660, 8100), List(1218, 5574), List(4112, 4174), List(1342, 1668), List(980, 6914), List(4218, 5324), List(9603, 11179), List(1198, 8305), List(2409, 7700), List(4357, 7388), List(1776, 7787), List(3235, 7284), List(910, 11056), List(2091, 2695), List(6287, 6470), List(1188, 11000), List(2089, 9415), List(5697, 6604), List(406, 3794), List(4390, 10130), List(3263, 9682), List(5121, 6444), List(2488, 5899), List(2760, 4143), List(1258, 1566), List(1105, 3953), List(8639, 10506), List(1925, 10862), List(24, 3850), List(301, 2438), List(10349, 11534), List(800, 4071), List(614, 7099), List(793, 9316), List(4060, 10376), List(2345, 2588), List(6151, 6932), List(5653, 6655), List(600, 2505), List(861, 11140), List(2971, 5494), List(7693, 9315), List(826, 2259), List(8508, 8710), List(4647, 6911), List(3716, 9785), List(8403, 11168), List(5703, 9401), List(1154, 7228), List(4238, 5171), List(7252, 8791), List(2429, 7547), List(89, 11041), List(9581, 11554), List(3146, 4155), List(7409, 9906), List(4102, 9447), List(215, 6427), List(1175, 8455), List(8490, 9228), List(2133, 3994), List(7963, 10465), List(2817, 3872), List(1176, 8276), List(2888, 5967), List(5868, 10003), List(3251, 10745), List(2167, 6207), List(732, 4852), List(5520, 9293), List(107, 4800), List(3849, 5187), List(878, 4677), List(2326, 3985), List(7269, 9495), List(6584, 9392), List(3160, 7594), List(7239, 10784), List(3614, 5320), List(969, 3260), List(6540, 8339), List(2968, 4391), List(46, 10159), List(3183, 6265), List(1562, 3774), List(251, 765), List(6229, 7888), List(7655, 11409), List(4050, 11485), List(160, 2532), List(6166, 6785), List(4798, 9658), List(8896, 10646), List(3858, 8282), List(7502, 11544), List(2046, 6977), List(8023, 10492), List(493, 7064), List(3473, 11100), List(869, 9795), List(119, 8543), List(1829, 5407), List(1509, 3739), List(1603, 3374), List(4125, 6532), List(8894, 10169), List(8956, 11047), List(8316, 9963), List(1941, 9031), List(5932, 10122), List(5082, 8262), List(7907, 8223), List(2494, 4484), List(6483, 11164), List(3183, 5460), List(3905, 11080), List(4332, 10393), List(3857, 6902), List(1152, 4791), List(4928, 11178), List(3951, 6537), List(4769, 9613), List(1529, 11130), List(1586, 5248), List(5722, 8972), List(5792, 9711), List(2800, 8324), List(123, 1845), List(7932, 10323), List(3078, 9766), List(1053, 8168), List(2166, 10438), List(4470, 5789), List(796, 3816), List(205, 3348), List(3343, 7970), List(896, 10813), List(2634, 3309), List(1574, 4083), List(2919, 5922), List(2064, 7128), List(7079, 10794), List(10289, 11320), List(1217, 2533), List(7130, 10759), List(2997, 4300), List(227, 1794), List(631, 1655), List(4674, 9352), List(2377, 9510), List(7695, 9979), List(1814, 10336), List(905, 10525), List(243, 5710), List(3797, 6046), List(1300, 11054), List(2148, 6425), List(1212, 2539), List(1672, 9879), List(1864, 10049), List(5601, 10092), List(5121, 6257), List(4287, 6031), List(3098, 3951), List(3005, 7924), List(1513, 6035), List(143, 11491), List(790, 8858), List(11032, 11377), List(3067, 5769), List(138, 3950), List(296, 5290), List(1464, 1605), List(2250, 2514), List(2962, 5194), List(1461, 7723), List(4699, 10297), List(4570, 7443), List(5941, 11257), List(7088, 7449), List(8118, 10216), List(5754, 8398), List(7839, 11555), List(1296, 6343), List(7686, 8307), List(3023, 5066), List(4449, 6335), List(3265, 11015), List(493, 7682), List(4851, 10287), List(3879, 6744), List(173, 6014), List(489, 10192), List(1363, 10948), List(4221, 9891), List(6432, 9215), List(2012, 4978), List(2173, 9999), List(9580, 11115), List(179, 3550), List(1910, 4701), List(6591, 6993), List(6708, 7578), List(9020, 9206), List(10, 1297), List(764, 9838), List(829, 7981), List(2902, 8869), List(2532, 7838), List(3330, 5374), List(909, 3022), List(995, 2042), List(2694, 11549), List(4926, 5334), List(7417, 8425), List(6450, 9390), List(3402, 10323), List(7354, 8076), List(840, 10772), List(1246, 2792), List(1870, 11287), List(1555, 9963), List(1553, 3474), List(1403, 6159), List(1750, 10404), List(4760, 10118), List(7216, 8492), List(327, 9059), List(1079, 4722), List(6521, 6947), List(705, 2037), List(4086, 6417), List(761, 8762), List(7977, 10310), List(2277, 2377), List(1380, 11251), List(2789, 4215), List(5080, 11412), List(5169, 9949), List(2779, 6910), List(9460, 11332), List(9585, 10280), List(1376, 4312), List(1441, 4707), List(4452, 11062), List(5980, 6192), List(3084, 4513), List(1672, 10497), List(2210, 11304), List(2177, 8912), List(5317, 10951), List(1081, 9275), List(6998, 9329), List(9463, 11199), List(208, 9875), List(1798, 9266), List(1318, 5431), List(1261, 4897), List(5870, 11285), List(9006, 9418), List(1193, 4204), List(2089, 8691), List(1321, 6833), List(3458, 5262), List(1343, 10564), List(5957, 10880), List(4985, 7337), List(1592, 4852), List(7882, 9618), List(6010, 7508), List(31, 914), List(7322, 7709), List(5357, 6162), List(5360, 9843), List(2743, 3415), List(4489, 6352), List(4047, 6007), List(6347, 10284), List(5410, 6173), List(1015, 3686), List(9043, 11528), List(206, 5991), List(7205, 9002), List(7825, 7929), List(858, 7085), List(3220, 8076), List(7177, 10337), List(288, 1078), List(4116, 6901), List(604, 9420), List(4644, 9272), List(6010, 9736), List(1717, 8280), List(3460, 5284), List(2088, 10667), List(1532, 6248), List(4579, 5090), List(6659, 7149), List(7200, 8227), List(9514, 9958), List(6476, 11579), List(4604, 10223), List(5652, 7934), List(2885, 11361), List(7007, 11215), List(6087, 7862), List(9679, 10934), List(4070, 9535), List(3165, 7214), List(6809, 11230), List(3949, 11460), List(546, 4123), List(1239, 2589), List(2821, 10787), List(1078, 7367), List(3373, 11300), List(1542, 9945), List(1351, 6213), List(2976, 11075), List(2278, 6603), List(3341, 6100), List(5123, 8694), List(238, 6572), List(3707, 7389), List(4832, 7764), List(6846, 9203), List(6328, 8274), List(4142, 10700), List(1835, 3000), List(3519, 5059), List(5755, 7631), List(6073, 10384), List(969, 9652), List(3536, 5413), List(1521, 7913), List(5840, 10563), List(2392, 4207), List(8455, 9748), List(4260, 8827), List(6299, 7879), List(2035, 9073), List(9376, 9569), List(547, 10309), List(1409, 9550), List(10374, 11300), List(942, 4422), List(6079, 6765), List(8561, 8989), List(3450, 5588), List(1927, 8550), List(3159, 8822), List(593, 9499), List(10036, 10150), List(4962, 5877), List(299, 2636), List(6995, 8090), List(4526, 8730), List(3686, 10968), List(769, 11418), List(2909, 11276), List(2847, 7365), List(6548, 7751), List(5858, 6550), List(7718, 11309), List(6761, 8044), List(9624, 11495), List(4337, 6175), List(8913, 10171), List(312, 9637), List(5329, 6960), List(747, 2395), List(3794, 8407), List(284, 1173), List(1624, 9838), List(373, 10290), List(1178, 4833), List(2124, 7909), List(4663, 8038), List(5531, 10477), List(3984, 4717), List(6348, 6535), List(1078, 4602), List(2599, 9141), List(2320, 9726), List(2265, 3603), List(176, 5962), List(6766, 8768), List(2041, 4649), List(7247, 9041), List(4850, 11247), List(4434, 4953), List(6369, 10795), List(3666, 9511), List(736, 2586), List(6057, 6736), List(5282, 10123), List(3004, 7325), List(1877, 6123), List(4019, 9814), List(6080, 7659), List(2873, 4398), List(2219, 10024), List(2162, 3074), List(7167, 9462), List(3875, 10035), List(630, 10454), List(7047, 7825), List(3685, 7659), List(5550, 7844), List(2366, 9670), List(8527, 11582), List(9925, 10803), List(7714, 9981), List(463, 5214), List(3978, 6376), List(9177, 10351), List(2921, 4415), List(9046, 10834), List(2565, 3090), List(3758, 8295), List(4260, 9445), List(4468, 9394), List(4005, 8172), List(7737, 7871), List(7019, 11038), List(8290, 11238), List(10505, 10681), List(3678, 8716), List(2532, 7464), List(978, 11113), List(2150, 7170), List(2685, 4296), List(4677, 10672), List(5057, 10139), List(2929, 11072), List(1162, 7258), List(3190, 9127), List(3772, 6099), List(2648, 10830), List(7346, 9339), List(1964, 11329), List(3647, 4118), List(1150, 8372), List(1499, 2864), List(305, 440), List(4855, 9631), List(2260, 11098), List(920, 2433), List(4720, 6962), List(6148, 11310), List(1977, 2115), List(10359, 10455), List(1851, 9358), List(2071, 7412), List(1916, 10507), List(5598, 10089), List(5118, 7008), List(44, 9151), List(4661, 8984), List(1815, 6668), List(2876, 9502), List(10482, 11205), List(6647, 8375), List(3619, 7331), List(4216, 5335), List(909, 4876), List(547, 3706), List(7799, 11327), List(911, 11338), List(2186, 6022), List(3239, 4077), List(2244, 9410), List(2906, 8563), List(1433, 6724), List(7840, 9823), List(1176, 2372), List(3858, 9949), List(1776, 4811), List(9802, 11072), List(2860, 7814), List(2583, 9980), List(1683, 8003), List(1141, 7454), List(3202, 5299), List(10786, 11215), List(1959, 6366), List(1102, 6745), List(1382, 9014), List(2636, 9991), List(3006, 4606), List(581, 4764), List(3380, 10674), List(1945, 11571), List(1405, 7685), List(1762, 6202), List(4496, 6799), List(7985, 8992), List(6010, 10167), List(9755, 10825), List(7194, 11122), List(5521, 6943), List(5547, 5912), List(5227, 6496), List(6791, 7699), List(2243, 4970), List(407, 3271), List(3822, 7235), List(9305, 10215), List(4785, 8780), List(5663, 6245), List(11327, 11515), List(6336, 8997), List(3574, 6352), List(202, 4744), List(9235, 11324), List(634, 10790), List(6981, 8920), List(7979, 8022), List(3689, 7241), List(2290, 8549), List(3558, 4314), List(354, 11150), List(6952, 7401), List(689, 7464), List(6287, 7950), List(318, 2044), List(3124, 4961), List(4583, 8622), List(8900, 11226), List(696, 5602), List(2642, 4463), List(1869, 2261), List(2736, 8262), List(1934, 2656), List(1120, 11033), List(10514, 11011), List(10457, 10477), List(3953, 5193), List(3667, 11023), List(2265, 5644), List(7932, 11185), List(2333, 10474), List(4277, 7010), List(9426, 10868), List(9135, 9938), List(1979, 2025), List(4191, 4203), List(5808, 11456), List(4989, 8155), List(9629, 9692), List(567, 1593), List(7421, 8387), List(664, 4909), List(4461, 9167), List(4676, 6877), List(2938, 7965), List(407, 7727), List(2616, 5470), List(2380, 3473), List(682, 3236), List(7071, 11391), List(3088, 8663), List(4522, 9793), List(5293, 9670), List(8304, 8855), List(563, 5207), List(1963, 7507), List(1485, 4499), List(179, 8250), List(8501, 9369), List(1247, 5085), List(7372, 11504), List(4349, 4388), List(2547, 10187), List(3266, 9874), List(1482, 4201), List(3171, 10768), List(7396, 9619), List(920, 5629), List(3005, 8786), List(4741, 11035), List(5305, 6647), List(5621, 10825), List(3627, 7786), List(604, 7086), List(3809, 9520), List(196, 5571), List(3618, 9952), List(5469, 11185), List(6238, 10235), List(2494, 6769), List(220, 680), List(4794, 10265), List(2282, 5543), List(4584, 6483), List(320, 7677), List(7324, 11032), List(2020, 3853), List(1145, 7036), List(1993, 2407), List(2305, 3433), List(5063, 9342), List(4319, 4872), List(7581, 8594), List(3014, 11477), List(91, 1559), List(120, 7215), List(4184, 4455), List(5816, 10488), List(5128, 6704), List(3779, 6621), List(7545, 11566), List(140, 1451), List(1449, 10803), List(5927, 11258), List(5576, 10277), List(5340, 8280), List(2558, 3505), List(2845, 6945), List(4206, 10071), List(2657, 7648), List(5293, 7710), List(6242, 9549), List(2899, 7181), List(3521, 9187), List(6570, 8856), List(1, 4675), List(468, 9776), List(3704, 11523), List(8590, 10083), List(10990, 11558), List(4170, 4348), List(3953, 5811), List(5381, 10159), List(1401, 10358), List(7581, 10822), List(3878, 9609), List(2603, 6257), List(8215, 11337), List(7491, 7896), List(4942, 9708), List(6900, 10838), List(6124, 11371), List(735, 7272), List(895, 3023), List(4193, 7900), List(6767, 11248), List(640, 1750), List(4437, 8260), List(2534, 7591), List(488, 4362), List(5987, 7875), List(7241, 10350), List(10066, 11065), List(7304, 8420), List(1043, 2140), List(4682, 5812), List(637, 1452), List(1879, 2412), List(4186, 7860), List(7016, 11171), List(1748, 3649), List(631, 3135), List(2812, 10164), List(9474, 10372), List(1160, 6862), List(41, 9685), List(7601, 11043), List(7293, 10890), List(7914, 9288), List(851, 8736), List(6947, 10253), List(9720, 10778), List(4570, 6695), List(207, 7129), List(6187, 10915), List(7152, 7625), List(793, 810), List(2164, 2372), List(10382, 11055), List(2624, 3296), List(4432, 7111), List(1727, 5000), List(517, 8459), List(7798, 8150), List(2621, 2998), List(2533, 9944), List(2083, 8203), List(6418, 9858), List(1683, 5051), List(8004, 8376), List(4922, 10479), List(7938, 10008), List(1046, 1232), List(6195, 11506), List(8053, 8268), List(4942, 11131), List(4759, 5762), List(8396, 8607), List(3907, 7239), List(3726, 8359), List(5348, 9540), List(4121, 4724), List(865, 4954), List(20, 6848), List(8129, 9202), List(1076, 2922), List(9407, 10573), List(7382, 8221), List(4369, 5957), List(3061, 8127), List(2818, 9123), List(5674, 11403), List(1665, 6700), List(5798, 6743), List(4805, 8739), List(6112, 7842), List(899, 7197), List(4574, 5608), List(10155, 11375), List(2520, 8153), List(3733, 4211), List(5914, 11240), List(6463, 8072), List(962, 7896), List(5041, 6922), List(118, 6982), List(1119, 4847), List(1585, 4088), List(4725, 6127), List(10142, 10739), List(354, 1782), List(1640, 7178), List(348, 8383), List(2070, 6762), List(575, 1192), List(11185, 11489), List(2904, 10371), List(1629, 9271), List(2159, 5299), List(4034, 4674), List(259, 8311), List(393, 5093), List(3970, 7133), List(4653, 10573), List(5025, 6769), List(7332, 8053), List(8752, 11005), List(6449, 10594), List(5757, 9320), List(4141, 11337), List(1593, 7712), List(2742, 6229), List(87, 9897), List(9082, 9604), List(6064, 9248), List(10701, 11268), List(4576, 4849), List(10014, 10338), List(1394, 3338), List(6034, 11291), List(2732, 8170), List(4845, 6959), List(2393, 4540), List(531, 3872), List(464, 2650), List(5808, 8504), List(6243, 8432), List(1888, 9508), List(742, 8256), List(1889, 10110), List(3004, 9797), List(2080, 3262), List(3004, 3381), List(4626, 10978), List(5185, 6246), List(6546, 9372), List(6303, 9614), List(6420, 10953), List(950, 5926), List(1387, 2517), List(9876, 10754), List(5490, 10265), List(886, 1969), List(6603, 6873), List(1697, 10290), List(849, 2087), List(1150, 5233), List(4771, 7545), List(619, 8980), List(7349, 7602), List(9835, 10349), List(4257, 8263), List(9129, 9369), List(4014, 9259), List(955, 1732), List(4017, 8776), List(3834, 9823), List(6057, 11436), List(4603, 5867), List(150, 6408), List(4792, 8772), List(740, 989), List(5122, 10404), List(304, 3842), List(2446, 7533), List(3822, 9439), List(7060, 7849), List(4371, 5517), List(4474, 7150), List(3853, 4588), List(5370, 7473), List(7837, 10924), List(2013, 7651), List(1390, 8426), List(3773, 8042), List(9108, 10370), List(10032, 11243), List(8103, 8599), List(1719, 10587), List(3372, 4665), List(8731, 11551), List(973, 6044), List(1721, 10633), List(5086, 8064), List(4086, 6637), List(1211, 1671), List(6164, 7869), List(4612, 5929), List(5438, 5513), List(5689, 9296), List(3892, 9023), List(3235, 4552), List(2483, 8889), List(972, 9202), List(119, 7071), List(4912, 9604), List(559, 927), List(1639, 7975), List(2019, 7442), List(1355, 8216), List(28, 11090), List(1019, 8267), List(5088, 10769), List(5939, 9821), List(490, 6425), List(7771, 8368), List(238, 4669), List(3414, 6365), List(10936, 11403), List(2197, 2991), List(669, 4855), List(2006, 3423), List(1782, 10131), List(6830, 7521), List(3318, 10040), List(10224, 10608), List(9276, 10869), List(5081, 9948), List(15, 9700), List(7792, 9595), List(4055, 9552), List(4648, 10066), List(1030, 5773), List(751, 6358), List(9030, 10813), List(10926, 11065), List(3369, 9224), List(2671, 4752), List(1306, 10552), List(2844, 7124), List(486, 1364), List(7245, 11304), List(1245, 10249), List(4624, 11550), List(4161, 10328), List(6277, 7880), List(895, 3454), List(2455, 9419), List(6526, 8584), List(2228, 4532), List(6775, 9288), List(3941, 11493), List(8113, 10710), List(6155, 10334), List(5804, 8599), List(5962, 9939), List(1762, 8674), List(3928, 9753), List(8172, 11290), List(99, 10875), List(3745, 4384), List(498, 8140), List(1098, 6415), List(4026, 10261), List(4109, 5600), List(528, 3818), List(1971, 2782), List(8944, 10988), List(2991, 9779), List(2051, 10655), List(1278, 8453), List(3950, 8172), List(8931, 10002), List(10021, 11322), List(4880, 5073), List(865, 9223), List(891, 8192), List(7269, 8641), List(672, 3166), List(1379, 4748), List(4723, 10724), List(3030, 4415), List(5239, 9328), List(4530, 4667), List(5335, 9036), List(6952, 9873), List(2821, 4241), List(1633, 5015), List(7980, 10315), List(8790, 9366), List(7792, 11018), List(9323, 9829), List(1252, 6077), List(3404, 9702), List(3461, 10236), List(4710, 6705), List(1651, 3342), List(407, 1555), List(5669, 8508), List(5263, 7820), List(2033, 9271), List(1345, 5487), List(221, 7966), List(97, 10374), List(1809, 8065), List(1802, 6894), List(3462, 4395), List(3670, 10760), List(4633, 10807), List(7491, 9750), List(2952, 8265), List(8922, 11363), List(9794, 11292), List(4190, 10237), List(2669, 5698), List(1803, 6715), List(246, 267), List(832, 3774), List(7363, 7471), List(5215, 10381), List(2128, 11386), List(6868, 10875), List(4399, 10761), List(1792, 5775), List(796, 1084), List(1542, 9010), List(2539, 10139), List(1464, 9127), List(2307, 10570), List(5579, 7810), List(3738, 8019), List(1159, 2075), List(4959, 6604), List(3954, 6331), List(10645, 11441), List(310, 817), List(4451, 7137), List(2863, 5540), List(1061, 11339), List(7910, 11373), List(1121, 2722), List(2433, 9339), List(5846, 6060), List(4108, 7148), List(3920, 7851), List(1484, 4467), List(3824, 10772), List(7890, 9593), List(2658, 3980), List(5345, 5485), List(4782, 6311), List(2918, 8980), List(630, 1330), List(1848, 1896), List(3625, 6398), List(2384, 8292), List(1691, 4164), List(4985, 10053), List(7909, 9993), List(724, 2096), List(3746, 5577), List(3837, 4941), List(3949, 5182), List(463, 2506), List(9277, 11257), List(3761, 5885), List(242, 817), List(10243, 10821), List(4973, 8888), List(372, 6525), List(5690, 11158), List(1764, 2548), List(530, 1449), List(5006, 8247), List(980, 8101), List(1014, 6931), List(1580, 3370), List(7424, 9547), List(8272, 11334), List(6300, 6364), List(2403, 2656), List(2408, 3000), List(3381, 9397), List(8644, 10159), List(3130, 5614), List(4967, 8669), List(855, 3087), List(7329, 9660), List(4094, 8515), List(3717, 8565), List(7110, 8798), List(5790, 11338), List(2367, 5978), List(8236, 8270), List(7525, 9198), List(4349, 5250), List(8120, 10539), List(3581, 9808), List(1243, 2795), List(7055, 10969), List(5226, 5523), List(8169, 10431), List(4724, 7756), List(7158, 11067), List(434, 9981), List(262, 4801), List(3293, 9526), List(4838, 8797), List(7145, 10081), List(3867, 8108), List(2654, 4880), List(4030, 9038), List(7228, 8803), List(2930, 3997), List(2532, 7334), List(8313, 9779), List(4388, 10439), List(2933, 11061), List(5665, 11585), List(3084, 4814), List(10236, 11073), List(4136, 9814), List(4003, 10224), List(5314, 7571), List(4763, 9912), List(902, 8113), List(245, 2888), List(608, 7666), List(8044, 10678), List(4592, 7586), List(3783, 11389), List(4344, 7484), List(6214, 8767), List(1577, 10911), List(949, 4926), List(1828, 1862), List(5253, 6514), List(5831, 5996), List(1142, 7950), List(9108, 9996), List(5001, 8922), List(1732, 4783), List(4614, 8284), List(8077, 9256), List(3968, 5103), List(4740, 10086), List(7482, 9046), List(2561, 11431), List(591, 8786), List(1750, 8745), List(2431, 4942), List(1182, 2811), List(2240, 6128), List(5034, 6776), List(3664, 6570), List(4875, 5965), List(1703, 5142), List(2272, 7514), List(6687, 10653), List(6656, 11340), List(990, 9407), List(8208, 11028), List(5405, 6130), List(5150, 11273), List(3716, 9362), List(7293, 11402), List(2819, 11066), List(2260, 7130), List(1539, 7370), List(4400, 9994), List(921, 2073), List(2042, 11374), List(5274, 9969), List(7915, 8123), List(2490, 8531), List(597, 8550), List(2092, 7704), List(1657, 2114), List(4961, 8691), List(7817, 10217), List(653, 3197), List(2337, 5256), List(721, 7273), List(4730, 5560), List(4221, 6622), List(680, 4239), List(7711, 10171), List(1539, 9598), List(835, 4527), List(1915, 11575), List(9819, 11245), List(2730, 5308), List(5813, 6059), List(235, 10389), List(4779, 5802), List(295, 4778), List(1158, 6873), List(2806, 9275), List(2407, 2588), List(5584, 10144), List(8445, 9762), List(506, 6129), List(3236, 5072), List(5438, 6562), List(1095, 2737), List(5444, 9760), List(6755, 7107), List(1526, 5175), List(6197, 8277), List(7195, 7379), List(1, 7310), List(4636, 10755), List(6790, 9545), List(4135, 4545), List(9826, 10480), List(2768, 3856), List(7711, 9366), List(2950, 9000), List(25, 5425), List(3130, 7655), List(514, 11251), List(5751, 10792), List(2790, 4554), List(6730, 10618), List(792, 4025), List(951, 8219), List(1818, 8558), List(8602, 9695), List(3050, 8830), List(4735, 7327), List(1034, 7695), List(4697, 11007), List(5416, 10694), List(1464, 6525), List(404, 7299), List(2202, 10426), List(8910, 10979), List(2899, 5628), List(3149, 11438), List(1458, 8962), List(9431, 9927), List(6566, 9813), List(4658, 8800), List(4704, 9145), List(4539, 6634), List(7376, 8864), List(3205, 6085), List(2709, 8887), List(431, 6089), List(1259, 2336), List(4450, 5064), List(168, 791), List(5840, 6676), List(4834, 6932), List(6344, 7118), List(6019, 11522), List(489, 2280), List(2540, 3601), List(4842, 10957), List(348, 2829), List(728, 2296), List(382, 1659), List(6328, 6615), List(7535, 8520), List(797, 3564), List(3961, 10161), List(9539, 9995), List(5955, 6784), List(9372, 11575), List(3589, 8303), List(2431, 7788), List(3773, 10864), List(1968, 10730), List(947, 10678), List(402, 6448), List(1754, 6048), List(10114, 11431), List(5725, 7261), List(5298, 5696), List(2125, 7681), List(6136, 6795), List(6683, 6964), List(6065, 8083), List(158, 9471), List(8741, 10173), List(298, 8727), List(4138, 5485), List(9328, 10872), List(1052, 10098), List(460, 6022), List(1489, 4437), List(3734, 4089), List(1210, 5022), List(2325, 11125), List(297, 7721), List(3284, 6512), List(577, 8492), List(2559, 2846), List(5986, 8325), List(6736, 9577), List(10003, 10637), List(571, 3759), List(1968, 6542), List(980, 2466), List(4183, 8237), List(5704, 8612), List(977, 7830), List(4425, 7770), List(3769, 6153), List(6260, 9998), List(2767, 3899), List(1619, 8990), List(5299, 7745), List(347, 10817), List(774, 10884), List(9423, 9954), List(7561, 9286), List(1210, 7250), List(699, 1850), List(241, 972), List(2768, 4474), List(7989, 11426), List(4226, 10162), List(1539, 2995), List(2882, 11177), List(7240, 7366), List(1168, 3991), List(4554, 9469), List(925, 10649), List(1350, 3473), List(6733, 9255), List(5024, 11081), List(2285, 7888), List(1075, 11347), List(887, 11296), List(4275, 7021), List(758, 2780), List(6826, 8665), List(702, 11516), List(10427, 11099), List(7916, 9985), List(7446, 7592), List(5536, 9162), List(4144, 5225), List(1300, 5988), List(2488, 10095), List(2142, 3042), List(2295, 10454), List(7496, 10338), List(6775, 7572), List(1059, 6276), List(9266, 11417), List(998, 8252), List(5533, 5831), List(9638, 10242), List(2009, 6835), List(6398, 11005), List(5658, 11195), List(2068, 5163), List(7150, 10051), List(636, 3325), List(2408, 8237), List(9290, 9909), List(7228, 8429), List(1877, 4814), List(9060, 10386), List(1746, 1887), List(1090, 6686), List(5004, 5867), List(814, 5290), List(7476, 8908), List(1316, 6440), List(1526, 7216), List(5015, 9409), List(2873, 6472), List(7160, 10365), List(4137, 9665), List(3149, 11251), List(2676, 9341), List(3041, 7776), List(5700, 7233), List(552, 10393), List(3568, 9922), List(796, 6589), List(9271, 10956), List(519, 1585), List(1205, 5296), List(9109, 10628), List(8489, 10920), List(6739, 10493), List(2169, 8197), List(4373, 5596), List(882, 2576), List(3412, 6349), List(8166, 8954), List(2660, 4270), List(3284, 10513), List(9889, 10187), List(7981, 9174), List(3967, 4127), List(13, 5547), List(1498, 4013), List(11026, 11353), List(9940, 10906), List(1284, 3495), List(1502, 11302), List(3548, 8115), List(3085, 6139), List(2777, 8238), List(1404, 2099), List(282, 1241), List(3903, 9969), List(4020, 4138), List(10494, 11465), List(3015, 4619), List(1285, 9732), List(2930, 6201), List(5421, 10046), List(5882, 8189), List(7186, 10781), List(92, 10916), List(4631, 5231), List(157, 9059), List(2454, 9655), List(928, 2520), List(4566, 8219), List(6255, 10622), List(916, 10804), List(1939, 10902), List(1627, 2679), List(2043, 8973), List(8080, 8375), List(2166, 6340), List(853, 6668), List(820, 10692), List(414, 5840), List(3365, 4974), List(5768, 10130), List(5448, 10714), List(7571, 9437), List(4980, 9148), List(2595, 6453), List(3682, 10508), List(3773, 9872), List(370, 2535), List(5672, 7389), List(2802, 9183), List(9739, 11316), List(1747, 8049), List(470, 3116), List(4081, 11156), List(5602, 11531), List(1562, 7515), List(8561, 10526), List(1581, 5313), List(1175, 4625), List(4736, 9138), List(3578, 6371), List(1047, 5379), List(400, 1596), List(5157, 10134), List(3949, 8004), List(5384, 7107), List(1490, 2916), List(7682, 10557), List(4005, 11319), List(239, 4122), List(1020, 4687), List(1524, 1746), List(9763, 9808), List(4448, 8856), List(274, 6560), List(2977, 7844), List(1012, 3291), List(6125, 7492), List(1312, 6966), List(5176, 8282), List(2903, 8834), List(317, 8135), List(5174, 7455), List(8795, 9767), List(411, 4764), List(1011, 9455), List(4280, 7178), List(311, 1150), List(1596, 3692), List(1867, 3963), List(1846, 3086), List(4112, 8533), List(1242, 1659), List(4638, 7825), List(5166, 10196), List(1245, 1930), List(3736, 9185), List(6069, 9438), List(2218, 8327), List(5193, 5603), List(1428, 10682), List(1110, 5677), List(5624, 8041), List(5025, 7712), List(2908, 5771), List(6565, 9992), List(514, 7494), List(6771, 7616), List(298, 3897), List(3563, 10546), List(2477, 5935), List(2379, 2394), List(362, 11237), List(1014, 2532), List(782, 2963), List(2502, 6931), List(1592, 8430), List(5389, 8524), List(1810, 9821), List(6701, 8725), List(8, 2788), List(5916, 11424), List(7786, 9701), List(6162, 8447), List(6886, 7724), List(6447, 11060), List(4360, 7830), List(1528, 3692), List(6354, 8617), List(5449, 6296), List(6101, 10423), List(5416, 10320), List(1964, 4222), List(5847, 6342), List(921, 1967), List(833, 6284), List(3675, 4694), List(4974, 6188), List(3912, 10299), List(8435, 10497), List(7026, 10363), List(4841, 10762), List(3535, 7343), List(5508, 9505), List(2263, 3508), List(304, 9323), List(2329, 5259), List(3506, 5824), List(856, 9836), List(3344, 7748), List(6341, 7227), List(3530, 3966), List(5455, 9120), List(7366, 10404), List(611, 7753), List(5764, 10629), List(1600, 4103), List(3378, 9961), List(2377, 5680), List(410, 6716), List(6136, 9454), List(6104, 9916), List(2331, 7964), List(3329, 6312), List(1063, 1619), List(6625, 8864), List(2056, 9422), List(5165, 5732), List(3262, 4309), List(5851, 8689), List(6231, 8910), List(6281, 8273), List(7843, 8649), List(5531, 7021), List(985, 5119), List(6308, 10096), List(1717, 9175), List(3443, 10736), List(81, 9816), List(1139, 2553), List(125, 10088), List(2019, 6507), List(1427, 2431), List(9114, 9980), List(2695, 3114), List(1392, 10546), List(8823, 9050), List(2510, 3334), List(9879, 11540), List(2631, 4792), List(40, 3749), List(4365, 10378), List(886, 2457), List(8045, 9887), List(5144, 10116), List(5853, 8361), List(1591, 6218), List(9383, 10555), List(691, 1989), List(2314, 6024), List(6347, 8869), List(2116, 5285), List(9927, 10426), List(4139, 6810), List(120, 8589), List(2000, 7554), List(4975, 11246), List(1778, 3011), List(1301, 2857), List(2949, 9423), List(6120, 6611), List(185, 10115), List(1547, 3263), List(3105, 6903), List(6174, 10230), List(2639, 11045), List(203, 7661), List(2104, 7503), List(2159, 7210), List(2823, 7190), List(3098, 9115), List(5183, 11518), List(135, 6214), List(257, 7143), List(9969, 10628), List(3923, 8474), List(4647, 8505), List(6486, 7469), List(6699, 8516), List(3115, 9469), List(873, 9334), List(6827, 11145), List(9119, 11397), List(3360, 7021), List(10715, 11357), List(2202, 4254), List(7931, 9919), List(4045, 4091), List(7460, 8055), List(390, 6332), List(3361, 6842), List(2055, 4177), List(1210, 6071), List(3696, 8818), List(2630, 9023), List(9390, 9766), List(5966, 8722), List(8602, 8784), List(2475, 5702), List(1270, 9505), List(6299, 7619), List(5583, 8203), List(2818, 6041), List(3871, 4096), List(8045, 11310), List(9011, 10120), List(697, 6610), List(1807, 5953), List(3436, 8305), List(6047, 10000), List(5292, 8404), List(9495, 9940), List(8872, 10715), List(2862, 8218), List(3614, 3881), List(4453, 7834), List(6311, 11012), List(36, 1616), List(3668, 4117), List(740, 2900), List(4872, 5724), List(4976, 10211), List(671, 4234), List(3499, 10882), List(6647, 10530), List(3073, 5755), List(4989, 6659), List(3283, 6504), List(2368, 3495), List(1781, 10343), List(3830, 6673), List(602, 2535), List(6111, 10900), List(2775, 5539), List(2926, 4954), List(4923, 5258), List(1220, 4799), List(4363, 10519), List(1777, 9820), List(8434, 9684), List(5225, 9760), List(4509, 10344), List(363, 2145), List(11135, 11272), List(5132, 6536), List(3193, 3204), List(5309, 11336), List(496, 11534), List(7454, 8128), List(9630, 10649), List(5837, 10674), List(5966, 7112), List(1935, 6622), List(1100, 9204), List(642, 8326), List(8577, 8807), List(4439, 8420), List(1946, 4502), List(948, 5400), List(543, 7566), List(7107, 11403), List(8354, 10455), List(5575, 5951), List(6815, 10248), List(2858, 6489), List(4337, 11526), List(3303, 6351), List(7661, 8956), List(2863, 10216), List(4888, 6152), List(8145, 8776), List(1056, 2839), List(4292, 11002), List(4879, 8318), List(5346, 10413), List(3508, 10139), List(3193, 8815), List(2076, 8301), List(2205, 4739), List(739, 4071), List(6613, 6707), List(825, 3091), List(1291, 11000), List(4369, 9909), List(453, 1233), List(2973, 9980), List(9449, 10964), List(2324, 9534), List(3754, 4129), List(2470, 2943), List(10618, 10887), List(408, 7125), List(6230, 9571), List(4058, 7923), List(2222, 8476), List(2802, 4621), List(4018, 10776), List(5709, 7590), List(8567, 10697), List(2607, 8317), List(2462, 4930), List(8429, 10763), List(2338, 3174), List(6080, 9977), List(2644, 6664), List(1428, 6925), List(2028, 2194), List(5607, 7313), List(5886, 10111), List(8183, 10707), List(1361, 9086), List(1061, 2378), List(930, 10031), List(6062, 11276), List(8266, 9429), List(331, 2532), List(8670, 9290), List(979, 9169), List(5552, 9484), List(700, 3338), List(2380, 8661), List(8419, 8890), List(1380, 7234), List(1442, 1696), List(2629, 2949), List(4065, 11322), List(6111, 8135), List(378, 11396), List(2742, 6798), List(5429, 7549), List(7237, 11364), List(127, 10996), List(1216, 2292), List(2859, 4350), List(4118, 7923), List(5386, 7852), List(4457, 5137), List(2772, 11521), List(3481, 4104), List(6906, 8756), List(6250, 7139), List(4176, 8278), List(5107, 5404), List(5568, 10717), List(1110, 10914), List(1956, 9622), List(3972, 9976), List(6527, 9110), List(1260, 4442), List(6435, 9521), List(1428, 6470), List(6490, 9228), List(4648, 9212), List(8036, 9101), List(2999, 9591), List(1168, 1820), List(760, 6721), List(1510, 4967), List(1687, 6357), List(8787, 10174), List(4463, 10563), List(2715, 6799), List(98, 10951), List(5266, 8443), List(7387, 11257), List(6534, 9126), List(9426, 11063), List(6315, 7510), List(2576, 7394), List(217, 9303), List(1112, 3766), List(9919, 11346), List(1175, 8252), List(19, 2148), List(8055, 9851), List(3629, 5799), List(1483, 5372), List(4007, 9357), List(6154, 6222), List(4306, 5260), List(1252, 2995), List(1689, 2996), List(984, 11286), List(1562, 6604), List(1290, 2698), List(525, 6049), List(9499, 11295), List(3207, 6456), List(2061, 5204), List(5973, 9974), List(5911, 9096), List(4739, 8875), List(2583, 7760), List(1484, 8956), List(271, 1564), List(5056, 6488), List(7583, 9990), List(6482, 7757), List(2417, 5374), List(5553, 9923), List(8858, 10309), List(2962, 9634), List(4615, 5210), List(126, 8006), List(2183, 9115), List(2711, 9234), List(2864, 5312), List(969, 8668), List(3858, 6924), List(3116, 10451), List(251, 3140), List(497, 6579), List(4382, 6520), List(4565, 11108), List(526, 8448), List(7033, 10997), List(578, 2222), List(2809, 4450), List(634, 5537), List(670, 5194), List(2967, 5790), List(10475, 11122), List(9506, 10506), List(3116, 9296), List(5827, 8189), List(1030, 8920), List(1231, 6924), List(4063, 10308), List(2721, 5734), List(4271, 11011), List(326, 11019), List(277, 7370), List(3210, 11560), List(2553, 7089), List(7695, 9776), List(5608, 6546), List(9987, 10028), List(8521, 9360), List(2805, 7310), List(2531, 8993), List(5038, 10365), List(3833, 7752), List(2083, 7325), List(85, 7550), List(4730, 9431), List(1920, 9778), List(2083, 10708), List(1148, 10430), List(8230, 8780), List(7431, 11019), List(10731, 11061), List(5901, 8646), List(7676, 10823), List(5551, 9021), List(2724, 5227), List(1129, 8875), List(2070, 6689), List(2978, 8527), List(3787, 11140), List(6105, 6197), List(3441, 10503), List(2567, 7495), List(3998, 9108), List(1164, 10559), List(4674, 11377), List(71, 8941), List(3987, 4031), List(4233, 7470), List(2689, 5391), List(2931, 11340), List(4053, 5782), List(2397, 4990), List(1676, 2978), List(3544, 6844), List(1649, 10200), List(5572, 6461), List(9118, 9942), List(646, 11508), List(7399, 11080), List(6745, 10290), List(3820, 5961), List(2199, 7634), List(6404, 9997), List(2853, 6926), List(3346, 10242), List(1226, 11036), List(6026, 9822), List(3383, 8589), List(2373, 6474), List(5903, 8668), List(7396, 7749), List(1623, 10857), List(3428, 4575), List(4670, 10453), List(876, 3460), List(5518, 5824), List(3370, 10986), List(4560, 9504), List(1587, 8167), List(7414, 8705), List(2438, 7219), List(3544, 9072), List(94, 6807), List(594, 11294), List(10139, 11441), List(5743, 10264), List(1013, 5801), List(5759, 7734), List(2170, 8343), List(2729, 10027), List(776, 9995), List(6409, 9536), List(108, 447), List(3757, 4053), List(3478, 4638), List(7635, 9239), List(2778, 3503), List(4164, 8349), List(9252, 10076), List(2595, 4550), List(3990, 6506), List(884, 9713), List(7355, 10353), List(1319, 9641), List(1563, 10001), List(5081, 10680), List(944, 1069), List(7000, 8849), List(5601, 10157), List(2247, 9852), List(6285, 6625), List(2362, 7358), List(2860, 11018), List(3980, 4633), List(2232, 5033), List(5162, 5542), List(748, 3759), List(2761, 11012), List(7547, 9368), List(4000, 9422), List(1988, 11439), List(481, 2102), List(1287, 10079), List(609, 6983), List(4408, 7904), List(1435, 6567), List(4081, 11481), List(204, 2733), List(8915, 9851), List(2403, 6958), List(350, 8974), List(8574, 9558), List(5916, 7293), List(1564, 5634), List(1657, 2415), List(9177, 10790), List(6599, 7700), List(2269, 4110), List(1114, 7276), List(2454, 9525), List(6590, 9085), List(6903, 7330), List(181, 655), List(9766, 10781), List(1242, 9905), List(3482, 9967), List(3425, 9433), List(7279, 10061), List(1890, 10880), List(4968, 11287), List(211, 2749), List(4162, 6693), List(912, 6768), List(4217, 6400), List(5614, 9183), List(2201, 5265), List(2001, 8617), List(2190, 5106), List(5514, 8952), List(2251, 8011), List(4680, 8726), List(9341, 11140), List(506, 6430), List(3299, 3443), List(3266, 7467), List(1624, 9017), List(3264, 4388), List(3236, 8756), List(213, 8056), List(1046, 8811), List(4485, 5225), List(10766, 11403), List(1755, 10439), List(7023, 11545), List(7944, 11366), List(728, 3402), List(110, 10937), List(848, 4258), List(2009, 4290), List(8454, 10125), List(5390, 9424), List(5025, 8737), List(3182, 7365), List(37, 5736), List(1573, 4891), List(4266, 5487), List(2251, 3823), List(2937, 5282), List(1189, 1518), List(7164, 11376), List(2429, 5815), List(4550, 8629), List(9240, 9529), List(3858, 7355), List(7096, 9929), List(2410, 11400), List(5908, 10703), List(5502, 10015), List(505, 7652), List(680, 5963), List(10040, 11275), List(2015, 7868), List(1829, 4480), List(4203, 11150), List(4313, 4902), List(5123, 10369), List(10143, 11373), List(1045, 7781), List(6812, 10520), List(2638, 4060), List(5057, 5585), List(6930, 8297), List(25, 11337), List(72, 4013), List(4249, 10744), List(6895, 11494), List(2251, 6051), List(916, 2648), List(5489, 8625), List(1817, 9731), List(3749, 9640), List(1161, 8114), List(2899, 4774), List(3069, 3465), List(3900, 9809), List(2222, 10948), List(2439, 3069), List(3552, 6093), List(2306, 7643), List(218, 10604), List(6823, 10278), List(7822, 11480), List(1253, 8053), List(3514, 6740), List(1272, 5851), List(4910, 11550), List(6775, 9483), List(4407, 10929), List(4508, 4565), List(2075, 7114), List(3069, 8726), List(5247, 11320), List(4127, 4873), List(4782, 9271), List(5754, 6398), List(3251, 8208), List(1136, 9346), List(2918, 5524), List(855, 6852), List(4931, 6361), List(550, 6216), List(1042, 6678), List(7883, 8349), List(5176, 9575), List(608, 3942), List(3374, 8958), List(3157, 4759), List(688, 4645), List(5151, 5546), List(3349, 11345), List(4089, 8903), List(2621, 8162), List(7388, 10972), List(2192, 5016), List(4052, 9775), List(3923, 6921), List(6166, 10664), List(4048, 5869), List(2425, 7469), List(6162, 7512), List(1463, 8778), List(4852, 6603), List(5633, 7168), List(5342, 10402), List(8528, 9376), List(2430, 11196), List(3134, 9097), List(3848, 8440), List(6062, 6527), List(4477, 10863), List(1385, 5862), List(1453, 3522), List(295, 4892), List(10992, 11401), List(2833, 4796), List(744, 11319), List(1005, 9374), List(9346, 11297), List(1245, 8834), List(627, 9953), List(3982, 6696), List(5014, 11044), List(6788, 9613), List(1337, 8800), List(2581, 7177), List(150, 3383), List(3259, 3857), List(2484, 7244), List(4046, 7620), List(607, 4790), List(6961, 7097), List(579, 9158), List(6365, 9695), List(2517, 6603), List(2983, 11506), List(6250, 9156), List(1984, 9523), List(11447, 11550), List(47, 602), List(4766, 6404), List(3993, 10618), List(5526, 6092), List(4218, 9016), List(5682, 6605), List(2067, 8245), List(231, 5792), List(1031, 6407), List(4828, 6501), List(11151, 11407), List(4334, 10130), List(6768, 10435), List(5698, 10521), List(11109, 11181), List(3702, 6655), List(2836, 9924), List(2299, 4057), List(3119, 10212), List(5667, 8175), List(2649, 11229), List(3433, 11311), List(2766, 6152), List(842, 3852), List(6587, 10804), List(6525, 9926), List(4728, 7401), List(779, 9919), List(2334, 9124), List(483, 8645), List(3700, 6178), List(6145, 6672), List(766, 8179), List(5835, 6446), List(3382, 10972), List(5094, 8663), List(6685, 7525), List(706, 7347), List(5584, 8298), List(3244, 4622), List(1406, 2096), List(258, 6433), List(1975, 4468), List(3212, 5084), List(3988, 5305), List(5181, 7504), List(1470, 3020), List(7137, 7807), List(4207, 7298), List(2161, 10485), List(1841, 11069), List(3737, 4905), List(5352, 9079), List(3480, 6969), List(7070, 9968), List(4670, 6241), List(5636, 11467), List(9736, 9872), List(9493, 10114), List(4248, 9177), List(8461, 11401), List(7033, 7053), List(8487, 10370), List(1456, 2159), List(296, 11397), List(4872, 8977), List(755, 3051), List(4681, 5245), List(5030, 10317), List(4345, 9460), List(3460, 8545), List(2474, 4542), List(134, 3872), List(1409, 4972), List(5925, 11169), List(1715, 8462), List(1849, 5244), List(4894, 9675), List(2222, 3540), List(3676, 6857), List(3842, 8058), List(1561, 1579), List(2371, 7046), List(3744, 5271), List(6698, 10338), List(8260, 10714), List(4430, 8228), List(760, 10161), List(5328, 9378), List(8687, 10781), List(3733, 6610), List(6006, 6812), List(6193, 8890), List(5903, 8562), List(6214, 6734), List(10300, 11095), List(3881, 4229), List(7702, 8881), List(7027, 9466), List(1831, 3510), List(1392, 6846), List(1225, 1256), List(10164, 10453), List(9758, 9765), List(8977, 9200), List(8445, 9339), List(1974, 2283), List(3684, 9727), List(1602, 6841), List(1949, 4670), List(1140, 8473), List(5827, 9856), List(4032, 10410), List(6885, 9009), List(1193, 5855), List(5678, 9733), List(5838, 7736), List(2906, 6400), List(7197, 7783), List(982, 4854), List(3308, 3936), List(1718, 11338), List(7785, 7953), List(66, 8036), List(432, 9325), List(253, 7862), List(1151, 9012), List(3988, 7078), List(4853, 5836), List(89, 291), List(5508, 7228), List(5415, 11201), List(1363, 9834), List(2273, 6837), List(2667, 6010), List(1237, 11415), List(275, 2144), List(1331, 4634), List(2480, 3151), List(3979, 9594), List(2534, 3387), List(2291, 3629), List(2222, 7996), List(1814, 10645), List(3223, 4363), List(3748, 9846), List(2833, 6837), List(2750, 5082), List(4615, 5267), List(1533, 7370), List(1194, 1488), List(6667, 10196), List(7262, 7373), List(2959, 8639), List(5954, 8045), List(4364, 11283), List(1965, 11164), List(432, 8520), List(3670, 6930), List(4169, 8563), List(1958, 9993), List(11075, 11383), List(10239, 11111), List(3950, 9953), List(842, 3665), List(5154, 5925), List(2232, 5277), List(3076, 3912), List(3420, 3722), List(894, 3074), List(7024, 10591), List(6497, 11074), List(7140, 10951), List(4060, 7465), List(271, 816), List(6585, 10140), List(1200, 2033), List(1229, 6935), List(6631, 9734), List(9284, 9403), List(5044, 10991), List(7198, 9027), List(3867, 4010), List(9648, 9865), List(1834, 10842), List(2920, 5627), List(1278, 3013), List(8459, 11168), List(1293, 6704), List(6141, 8944), List(857, 7305), List(3904, 8399), List(3379, 6299), List(359, 9280), List(1916, 9312), List(1730, 10088), List(3535, 3806), List(6895, 10315), List(3652, 5145), List(1279, 5493), List(5492, 7717), List(4024, 10386), List(6080, 7887), List(8444, 9705), List(7451, 9449), List(6456, 10618), List(5114, 5290), List(8992, 10476), List(2278, 10832), List(1810, 8512), List(504, 5847), List(3761, 8471), List(6032, 7846), List(5699, 11578), List(2743, 5684), List(7684, 10367), List(2975, 4529), List(4108, 8929), List(5625, 6152), List(2602, 5452), List(1791, 6176), List(8554, 10600), List(8948, 10527), List(2050, 7568), List(486, 4113), List(3533, 5961), List(3555, 7440), List(2034, 2901), List(8976, 9542), List(4191, 4618), List(8379, 11538), List(36, 2372), List(5521, 8431), List(10756, 11309), List(3652, 10756), List(6494, 9166), List(2413, 9313), List(1948, 10674), List(7540, 10214), List(539, 7130), List(3372, 5454), List(4091, 4387), List(5703, 11296), List(6167, 9710), List(5262, 7389), List(4767, 10793), List(7093, 9875), List(7216, 7996), List(4348, 8365), List(1982, 5720), List(8435, 11416), List(2448, 4961), List(620, 9539), List(6396, 10886), List(643, 9708), List(8229, 10035), List(672, 8948), List(882, 3308), List(3970, 5157), List(5737, 8971), List(637, 9893), List(6022, 11584), List(36, 7983), List(581, 5797), List(3193, 5465), List(6015, 8915), List(1506, 9524), List(919, 5792), List(5167, 9757), List(1647, 1835), List(1650, 2106), List(6378, 9906), List(1376, 7199), List(619, 4776), List(716, 8092), List(1096, 8313), List(26, 1229), List(739, 9015), List(2430, 5829), List(1831, 11162), List(3075, 6533), List(4981, 7473), List(2984, 10552), List(7333, 11159), List(1354, 2313), List(2374, 4392), List(7143, 8783), List(7138, 8439), List(4674, 8669), List(9850, 10940), List(5514, 9814), List(1816, 3283), List(2991, 7185), List(7409, 9841), List(90, 998), List(781, 5053), List(6223, 11442), List(27, 6311), List(5357, 9049), List(104, 8975), List(6883, 7516), List(2492, 8935), List(4481, 5214), List(8089, 8819), List(10549, 11099), List(6220, 11144), List(6822, 9492), List(862, 7112), List(4941, 10302), List(3612, 5933), List(680, 11013), List(181, 7128), List(4135, 5708), List(7519, 10359), List(5445, 11498), List(2580, 11384), List(8774, 9272), List(274, 7292), List(6081, 7952), List(8417, 8476), List(2725, 10984), List(3006, 10445), List(1626, 8797), List(9628, 11254), List(2501, 8997), List(4982, 4984), List(3681, 6827), List(3948, 4727), List(1711, 4182), List(4106, 6067), List(995, 8930), List(780, 10439), List(5068, 8141), List(7590, 10545), List(6351, 9102), List(5037, 6576), List(5609, 8465), List(8714, 11449), List(4311, 9101), List(3440, 5610), List(1675, 8258), List(2040, 6693), List(4497, 5292), List(1102, 8396), List(7461, 8795), List(2408, 5399), List(9486, 11147), List(3158, 3645), List(8198, 8307), List(6952, 9857), List(7454, 11007), List(5577, 9307), List(1258, 3624), List(6335, 8168), List(2813, 9999), List(3771, 11200), List(5731, 6741), List(1570, 11066), List(4731, 6812), List(1333, 4737), List(1838, 5404), List(3789, 9527), List(5069, 6807), List(3833, 9045), List(2954, 5693), List(1331, 7293), List(3793, 9646), List(5966, 8486), List(3297, 6032), List(4725, 10380), List(7412, 11131), List(5199, 9482), List(1949, 3141), List(1861, 7458), List(6742, 11336), List(2446, 3947), List(2700, 4995), List(6306, 7773), List(4279, 9512), List(4659, 8979), List(4072, 5247), List(1383, 7833), List(1968, 4322), List(799, 7782), List(694, 3824), List(7486, 9740), List(5490, 5874), List(2255, 6981), List(2258, 10662), List(6272, 9293), List(634, 2992), List(1496, 8649), List(2519, 7993), List(690, 3301), List(4058, 7419), List(5572, 10787), List(5656, 9734), List(9052, 9484), List(337, 11292), List(5796, 9714), List(4017, 4385), List(6415, 11449), List(6056, 10607), List(1059, 8244), List(1429, 7023), List(6785, 10982), List(4347, 6017), List(1489, 7828), List(4072, 4092), List(5444, 8508), List(2025, 7808), List(4346, 6546), List(1670, 9337), List(3974, 4688), List(1890, 11555), List(10104, 11451), List(3468, 6048), List(6430, 9478), List(2127, 10744), List(5614, 9858), List(1388, 7372), List(4366, 10581), List(851, 3003), List(3908, 9703), List(5856, 9391), List(384, 10707), List(3488, 4421), List(1541, 7587), List(416, 796), List(3647, 8615), List(2742, 6294), List(8844, 11009), List(8875, 10322), List(1129, 6330), List(977, 8188), List(1316, 8408), List(2400, 5776), List(7513, 9977), List(218, 9856), List(5292, 7713), List(3182, 9195), List(8101, 10147), List(216, 2613), List(2014, 5740), List(3106, 3723), List(1213, 7906), List(10017, 11051), List(2388, 7644), List(6531, 8375), List(5882, 7929), List(1605, 4754), List(390, 7869), List(1425, 9482), List(3011, 3836), List(4444, 6276), List(3687, 6859), List(770, 4303), List(6463, 11065), List(3815, 9488), List(3228, 5756), List(1258, 7275), List(5267, 5562), List(1421, 8959), List(1478, 5329), List(7639, 11405), List(4714, 7076), List(943, 1787), List(3346, 7697), List(8017, 10799), List(6015, 7118), List(5452, 7944), List(2682, 4684), List(4232, 10715), List(3244, 6639), List(1993, 7091), List(508, 2209), List(1652, 6798), List(6411, 10501), List(2343, 10853), List(1681, 6038), List(1304, 10252), List(4609, 9884), List(4832, 5203), List(1028, 8102), List(3361, 4191), List(5749, 10567), List(23, 8583), List(5107, 7128), List(2210, 9011), List(2920, 10864), List(5160, 10926), List(8582, 11143), List(3422, 5598), List(800, 5242), List(2536, 7491), List(578, 6361), List(3038, 8641), List(7060, 11297), List(7743, 10573), List(3913, 8087), List(6487, 11435), List(3259, 7297), List(3940, 9910), List(3351, 10269), List(946, 1280), List(6344, 8094), List(1604, 9359), List(2904, 5793), List(1816, 4519), List(2186, 3298), List(6169, 6780), List(5171, 7678), List(8887, 9096), List(3056, 8816), List(4496, 8263), List(881, 3487), List(1870, 10417), List(2379, 6322), List(3200, 5562), List(11016, 11047), List(904, 2158), List(3555, 7416), List(3620, 7811), List(2958, 2996), List(6292, 7530), List(3269, 6830), List(3264, 6486), List(5017, 10594), List(31, 8420), List(86, 1711), List(1208, 8985), List(4972, 6687), List(3144, 4849), List(3235, 11383), List(3261, 6188), List(3145, 8457), List(580, 2219), List(3730, 9110), List(2825, 6789), List(3102, 5377), List(4349, 10845), List(4230, 9433), List(8276, 10231), List(613, 1578), List(7920, 8906), List(415, 7255), List(22, 10936), List(1409, 8867), List(4101, 9962), List(7671, 11585), List(1133, 6717), List(484, 8523), List(1198, 7866), List(2036, 8965), List(4749, 8685), List(7298, 9502), List(4645, 7581), List(8356, 8655), List(2814, 8478), List(1011, 5007), List(9808, 11145), List(4208, 7580), List(355, 3390), List(5148, 11585), List(4954, 9090), List(6511, 8341), List(100, 5500), List(2801, 10875), List(1833, 7451), List(312, 7076), List(4942, 7171), List(3013, 5281), List(681, 7882), List(2518, 4521), List(1259, 1702), List(4945, 10825), List(1066, 1307), List(5155, 5185), List(1547, 1580), List(1051, 10798), List(6927, 10097), List(8048, 10730), List(1257, 4258), List(911, 3621), List(5926, 10697), List(1033, 8714), List(1757, 8745), List(1931, 3448), List(2068, 10327), List(5428, 10420), List(8377, 8727), List(4645, 6776), List(2336, 4665), List(5365, 9317), List(3922, 3937), List(5852, 9435), List(6447, 6612), List(246, 7553), List(1622, 9459), List(1744, 10388), List(1517, 4747), List(9054, 11571), List(675, 6912), List(4143, 8228), List(3505, 7971), List(5564, 9153), List(9428, 10469), List(899, 10003), List(6912, 11263), List(467, 3176), List(6845, 10041), List(1898, 11205), List(9665, 10412), List(993, 2468), List(5430, 10092), List(8076, 10842), List(268, 2966), List(4870, 8183), List(1847, 7483), List(6184, 11463), List(1349, 9458), List(2479, 7925), List(6018, 9481), List(350, 10885), List(107, 11127), List(5260, 7587), List(1717, 10793), List(1966, 5081), List(5722, 9338), List(6611, 6962), List(6139, 7906), List(1839, 6437), List(6690, 8194), List(129, 8792), List(714, 5281), List(3413, 7577), List(6905, 7035), List(1329, 1612), List(8173, 9970), List(10112, 10296), List(497, 10881), List(301, 6805), List(6185, 10129), List(5306, 6777), List(2849, 8932), List(915, 1780), List(44, 9623), List(7117, 8611), List(6642, 11536), List(1979, 8295), List(893, 7848), List(7359, 8144), List(6727, 6921), List(2341, 6432), List(2721, 6653), List(3435, 5242), List(603, 1858), List(289, 9804), List(7290, 9478), List(2312, 11329), List(567, 4830), List(7031, 10715), List(6687, 10905), List(4476, 5919), List(7445, 9766), List(7373, 8200), List(7779, 8888), List(585, 5409), List(3145, 4887), List(2479, 2582), List(3380, 7413), List(1048, 10014), List(2302, 10991), List(6091, 7060), List(3360, 10144), List(4881, 10519), List(2453, 4744), List(10042, 11004), List(2984, 10796), List(2700, 4621), List(4525, 5407), List(3036, 10205), List(801, 4071), List(3709, 6541), List(3533, 11011), List(4366, 4596), List(6619, 9781), List(3503, 5884), List(4184, 8497), List(5082, 10401), List(2532, 2943), List(9068, 10394), List(3434, 11382), List(5208, 5787), List(2271, 4107), List(99, 8875), List(4419, 8744), List(4207, 10551), List(3770, 10550), List(2497, 3107), List(2142, 11052), List(117, 2284), List(2641, 6269), List(1204, 10503), List(366, 2988), List(8624, 9572), List(765, 7423), List(7616, 9782), List(7149, 11070), List(272, 3326), List(2264, 3286), List(2763, 4919), List(2668, 7311), List(173, 6730), List(3409, 8477), List(24, 6607), List(888, 2511), List(2562, 3882), List(6575, 8704), List(2129, 4000), List(749, 8768), List(2598, 9174), List(1308, 4036), List(1073, 11309), List(2248, 2379), List(3393, 3406), List(1899, 7860), List(557, 8948), List(3112, 8082), List(4853, 6511), List(1993, 10905), List(8526, 9013), List(931, 10852), List(4238, 4895), List(626, 10216), List(468, 3214), List(4482, 5255), List(3040, 4981), List(1142, 2404), List(4374, 7415), List(2946, 3067), List(3202, 7194), List(6113, 9181), List(3255, 3822), List(3444, 6727), List(9388, 10856), List(5393, 10023), List(3872, 9648), List(1752, 10442), List(7820, 9911), List(476, 9117), List(2635, 7497), List(2064, 8462), List(223, 8671), List(10126, 10970), List(2370, 6290), List(9040, 10523), List(191, 9887), List(9717, 9984), List(1307, 6012), List(9307, 11052), List(8281, 10656), List(5361, 10835), List(5038, 5486), List(9549, 11339), List(9426, 10185), List(6310, 8540), List(2743, 4936), List(739, 3461), List(3722, 11178), List(613, 5042), List(747, 1070), List(2325, 9149), List(6528, 7679), List(10519, 11022), List(6963, 7607), List(3141, 11398), List(4349, 4860), List(1761, 9750), List(5257, 6698), List(1176, 6845), List(2487, 10608), List(2482, 3848), List(7764, 8824), List(6090, 7453), List(3875, 11393), List(5315, 10840), List(2068, 8180), List(2104, 3673), List(4213, 11388), List(3667, 7657), List(2815, 8380), List(6979, 8490), List(4897, 8233), List(437, 5351), List(965, 7722), List(7436, 8362), List(96, 5058), List(4010, 10655), List(3146, 8335), List(340, 6172), List(6475, 6863), List(9809, 11397), List(1456, 8713), List(9057, 10072), List(4601, 4680), List(9093, 9729), List(9838, 10637), List(3986, 9480), List(1890, 8416), List(5312, 9387), List(1544, 7779), List(5343, 8700), List(3203, 5055), List(3886, 9249), List(584, 9134), List(7805, 10272), List(2731, 5999), List(675, 2082), List(2873, 8334), List(3002, 4018), List(385, 8924), List(3776, 7576), List(2943, 7575), List(600, 2847), List(4366, 7792), List(1246, 7159), List(6698, 10826), List(126, 712), List(4363, 7494), List(5134, 7371), List(3838, 4640), List(5913, 6355), List(2052, 8720), List(6506, 7623), List(1712, 5619), List(5855, 6350), List(5882, 8173), List(2735, 5717), List(1962, 9177), List(6532, 9975), List(2358, 3515), List(7127, 7152), List(8118, 10745), List(4042, 5574), List(1241, 7165), List(1545, 3412), List(4716, 4764), List(1262, 11425), List(1513, 2376), List(2807, 3526), List(4929, 9194), List(4958, 7680), List(4175, 7042), List(1697, 7566), List(5277, 9877), List(7347, 11248), List(6705, 7809), List(2312, 6149), List(3524, 9152), List(1719, 9018), List(248, 1590), List(3585, 10559), List(810, 2791), List(2981, 11384), List(7158, 10945), List(8395, 9309), List(8744, 10217), List(3111, 3506), List(2744, 8408), List(4508, 6289), List(8212, 10356), List(3759, 10897), List(1240, 5004), List(8855, 10987), List(82, 2991), List(6809, 7758), List(1086, 4537), List(1148, 6169), List(7808, 9714), List(2135, 10020), List(2078, 9486), List(2882, 10974), List(2101, 3993), List(5277, 5689), List(4998, 6274), List(2223, 3424), List(1042, 5369), List(2907, 5554), List(5945, 7316), List(3775, 8747), List(1189, 1632), List(8820, 11501), List(4357, 8348), List(3789, 9584), List(6872, 10335), List(3520, 10857), List(7964, 8318), List(3149, 5437), List(5656, 7563), List(6058, 11515), List(89, 9773), List(1262, 6432), List(4935, 11186), List(2917, 3589), List(924, 9820), List(3845, 6079), List(6245, 8308), List(297, 2525), List(5553, 6280), List(5062, 9426), List(1939, 2860), List(9884, 10445), List(2869, 8429), List(5080, 7753), List(1821, 4302), List(1434, 7074), List(3058, 9082), List(9844, 11046), List(3278, 7136), List(4214, 4606), List(1095, 1192), List(498, 3188), List(5292, 8575), List(7661, 10737), List(4727, 9328), List(3674, 4103), List(4205, 10155), List(6476, 9530), List(9496, 9932), List(1449, 4322), List(5695, 5932), List(4910, 8631), List(3007, 7962), List(1639, 7829), List(4528, 6085), List(8230, 9325), List(330, 10528), List(1827, 4093), List(299, 2547), List(1471, 2768), List(163, 5692), List(3747, 8903), List(4624, 9176), List(1098, 10107), List(3211, 8142), List(1753, 5083), List(5977, 10906), List(9282, 11292), List(4323, 10941), List(6315, 10901), List(1894, 7947), List(4333, 8596), List(2458, 3559), List(5293, 11378), List(2705, 9852), List(742, 1962), List(6939, 10701), List(776, 7962), List(4035, 4997), List(707, 9323), List(7035, 10409), List(3389, 10484), List(4659, 7076), List(3394, 10828), List(3201, 10433), List(5961, 6589), List(6991, 10110), List(587, 8440), List(1232, 11396), List(5621, 9150), List(1915, 8420), List(5841, 11368), List(2657, 3395), List(855, 2778), List(1472, 7850), List(1289, 8897), List(9442, 10769), List(9254, 11472), List(2804, 3041), List(3125, 5311), List(3860, 5531), List(1712, 4277), List(3253, 10192), List(8284, 11385), List(8501, 9922), List(1443, 3298), List(940, 11345), List(3516, 4186), List(2091, 10689), List(2961, 9791), List(6189, 7513), List(9521, 9722), List(8960, 11375), List(340, 10791), List(3301, 4197), List(5104, 7668), List(9543, 11201), List(1241, 9206), List(8061, 10000), List(10022, 10647), List(1576, 11182), List(2644, 11023), List(4041, 7390), List(3353, 3606), List(1455, 6691), List(6246, 8397), List(5408, 7298), List(7371, 8772), List(8138, 11159), List(1827, 5516), List(3561, 6938), List(3124, 6937), List(6121, 6416), List(3377, 5131), List(11062, 11099), List(2442, 4099), List(1225, 10551), List(2978, 4079), List(65, 6957), List(8077, 10102), List(5075, 8027), List(6566, 9691), List(9998, 11350), List(2646, 10695), List(3675, 4946), List(1622, 11126), List(3857, 10090), List(1304, 6121), List(8380, 11042), List(6143, 11251), List(1649, 8785), List(3793, 6133), List(5632, 5851), List(4696, 8381), List(3140, 11203), List(3510, 3566), List(934, 3555), List(3236, 4495), List(1646, 2071), List(1262, 9278), List(9217, 11135), List(530, 9329), List(2354, 7261), List(4467, 5296), List(4688, 10368), List(731, 2445), List(2017, 7841), List(7454, 9722), List(3295, 8458), List(9570, 11438), List(1576, 7344), List(762, 11557), List(4155, 6872), List(8802, 9580), List(3033, 4516), List(5967, 11560), List(386, 5793), List(516, 11501), List(7419, 7634), List(6478, 9820), List(2679, 8899), List(4623, 6159), List(7045, 11365), List(2274, 11065), List(6577, 9799), List(7387, 8850), List(6236, 7254), List(969, 11254), List(5568, 10538), List(5891, 9471), List(2180, 4233), List(3544, 11040), List(6878, 9912), List(5811, 6509), List(5656, 9604), List(3634, 10933), List(4358, 4548), List(1584, 4552), List(240, 4813), List(2136, 5065), List(5349, 11524), List(7966, 11536), List(4291, 6709), List(6777, 9456), List(2388, 5286), List(4354, 10441), List(6558, 8594), List(7454, 8917), List(2072, 4491), List(3224, 8941), List(1137, 9875), List(2073, 7345), List(8736, 10407), List(4865, 7920), List(1968, 3387), List(197, 8499), List(4555, 6940), List(2194, 8803), List(189, 7857), List(934, 1595), List(1278, 2159), List(5708, 6330), List(1164, 4501), List(2654, 3311), List(2401, 5871), List(7475, 10144), List(6599, 10473), List(2115, 3033), List(4544, 5246), List(10211, 10787), List(2329, 6934), List(1556, 11148), List(4548, 6119), List(2924, 8275), List(2953, 3351), List(7151, 7953), List(4384, 11380), List(2760, 2956), List(8637, 10027), List(607, 5522), List(4094, 4636), List(2602, 5753), List(2227, 3624), List(4716, 10806), List(275, 6446), List(4399, 8655), List(2128, 2864), List(2346, 10671), List(918, 7077), List(9950, 10049), List(5642, 6807), List(6767, 11346), List(3806, 5108), List(2006, 5318), List(7510, 9175), List(5674, 9728), List(5551, 8574), List(7132, 9000), List(222, 3028), List(3174, 7268), List(1935, 9989), List(5381, 9102), List(3263, 10723), List(1000, 8957), List(6664, 10817), List(537, 7735), List(6698, 9647), List(2150, 4666), List(7005, 7323), List(1766, 7709), List(675, 6164), List(685, 6852), List(3018, 7105), List(549, 7745), List(4814, 9405), List(965, 2705), List(4912, 10694), List(8303, 10100), List(5092, 9349), List(6618, 10068), List(635, 5984), List(53, 344), List(6768, 10012), List(5985, 10505), List(3583, 8203), List(3177, 6761), List(4518, 5448), List(3076, 3676), List(2869, 5827), List(3335, 11484), List(7213, 10254), List(6719, 9719), List(6186, 7004), List(10270, 10538), List(5597, 6609), List(7501, 10886), List(2136, 5683), List(2664, 8054), List(1489, 1900), List(8204, 11568), List(4668, 9529), List(1206, 11411), List(1977, 4872), List(5810, 11039), List(2257, 7141), List(1140, 6627), List(2224, 11165), List(5623, 8180), List(5595, 6132), List(1070, 9271), List(6427, 8914), List(1383, 10899), List(5022, 9653), List(2713, 7542), List(2747, 7126), List(7439, 8853), List(9068, 10451), List(10344, 10995), List(9217, 9793), List(7696, 9418), List(3486, 7465), List(2154, 2825), List(4415, 7928), List(2028, 10822), List(3086, 9975), List(1742, 10236), List(71, 6884), List(5785, 11517), List(9463, 10199), List(3549, 8164), List(927, 1392), List(1481, 2732), List(307, 6602), List(2669, 7593), List(2913, 7953), List(1481, 6115), List(3227, 9052), List(2322, 6731), List(8516, 8783), List(4223, 11491), List(165, 2762), List(5336, 10351), List(5649, 8596), List(7419, 9675), List(1254, 3857), List(9528, 10974), List(5123, 6271), List(6976, 9105), List(339, 4231), List(1438, 9801), List(7076, 9686), List(6670, 8998), List(3055, 10638), List(3487, 6131), List(3702, 8005), List(2867, 10587), List(873, 4138), List(8006, 9593), List(8023, 10728), List(3334, 7020), List(5725, 6497), List(1205, 9980), List(5750, 8247), List(521, 6315), List(2207, 9201), List(7967, 10769), List(5870, 6097), List(4011, 9110), List(21, 5211), List(9771, 10678), List(2694, 7784), List(4972, 8330), List(3917, 9448), List(2348, 11311), List(555, 8528), List(8490, 9009), List(5710, 5815), List(1068, 3451), List(4220, 7005), List(1500, 3108), List(6233, 7842), List(1229, 2056), List(1163, 3688), List(2592, 10890), List(3867, 8580), List(376, 5560), List(5828, 6975), List(2875, 11178), List(6411, 6801), List(10084, 10801), List(934, 7019), List(230, 2702), List(2706, 4761), List(4550, 8987), List(1866, 7753), List(8065, 10149), List(4789, 11255), List(10143, 11381), List(6129, 7088), List(1745, 3262), List(3608, 6784), List(3047, 8437), List(8067, 10195), List(6097, 7550), List(2931, 4290), List(2327, 9279), List(149, 269), List(4789, 8222), List(4730, 11025), List(4138, 6949), List(8835, 9020), List(6120, 6221), List(329, 8723), List(3414, 3885), List(2378, 9217), List(1357, 2749), List(10966, 11017), List(8036, 10508), List(2186, 6014), List(2561, 5137), List(2822, 9608), List(4061, 5389), List(6208, 8670), List(5050, 5903), List(4924, 9736), List(2897, 10721), List(636, 3366), List(1694, 2519), List(7078, 11155), List(509, 7728), List(530, 2189), List(2902, 8032), List(1775, 6830), List(1336, 10166), List(1250, 8894), List(3368, 7273), List(2053, 6774), List(3264, 6169), List(275, 10715), List(1092, 10937), List(1137, 3540), List(7566, 11094), List(2549, 7355), List(1239, 7200), List(178, 7749), List(6430, 9779), List(8727, 10375), List(270, 10721), List(661, 3961), List(1328, 3458), List(2787, 7119), List(8351, 11027), List(794, 2770), List(2777, 11312), List(6509, 11011), List(4217, 4343), List(413, 3078), List(757, 7806), List(3522, 3552), List(10834, 11224), List(1128, 5275), List(3634, 7176), List(3857, 8911), List(1149, 3119), List(4411, 10251), List(6534, 9728), List(395, 5131), List(10926, 11163), List(2387, 11507), List(8185, 9395), List(3142, 10851), List(186, 4203), List(277, 10737), List(2677, 8048), List(347, 11476), List(7374, 10119), List(2011, 5743), List(4626, 11344), List(9056, 9099), List(6597, 10427), List(1802, 5569), List(766, 10147), List(1958, 6082), List(456, 2751), List(1380, 5876), List(9628, 11018), List(3635, 11134), List(5800, 8578), List(6703, 10072), List(2104, 2120), List(5247, 7840), List(970, 3911), List(3872, 7290), List(3619, 9096), List(66, 5198), List(157, 4562), List(2053, 4814), List(375, 5953), List(2462, 2767), List(4677, 5216), List(4362, 10308), List(9081, 9694), List(2768, 10394), List(3143, 9517), List(7054, 10679), List(2768, 3978), List(8843, 11034), List(1270, 10188), List(4916, 8615), List(872, 7109), List(1571, 4666), List(6092, 11207), List(9418, 9464), List(4688, 5001), List(1166, 6832), List(9144, 11147), List(5099, 6787), List(2506, 4917), List(9290, 10218), List(574, 2756), List(1852, 4127), List(644, 1997), List(7123, 8914), List(2723, 6837), List(6093, 11028), List(4252, 8985), List(5150, 10135), List(1685, 1920), List(5153, 10406), List(6199, 11454), List(1379, 8229), List(6235, 10330), List(7197, 7523), List(2240, 10251), List(1565, 10836), List(2496, 7962), List(1126, 7002), List(4321, 8748), List(1771, 10712), List(7313, 8637), List(692, 4266), List(4948, 8846), List(674, 9352), List(858, 4743), List(5916, 9237), List(3667, 7177), List(8483, 11414), List(274, 5446), List(3195, 8121), List(55, 3830), List(53, 3003), List(9540, 10342), List(5524, 10884), List(5689, 6979), List(2884, 7670), List(4866, 6188), List(5120, 10242), List(7463, 11183), List(457, 11165), List(1723, 10267), List(9161, 10696), List(8851, 9716), List(6482, 7554), List(1321, 10452), List(469, 11175), List(1807, 6181), List(7013, 10573), List(4580, 6706), List(2144, 2568), List(1617, 10221), List(908, 4806), List(7532, 8694), List(1054, 11047), List(3294, 11109), List(1838, 11129), List(2554, 4129), List(159, 2998), List(8503, 8602), List(2701, 6808), List(1770, 9682), List(497, 2993), List(151, 6520), List(4354, 7302), List(4631, 5890), List(4352, 6475), List(4283, 8590), List(5809, 10063), List(704, 9887), List(8462, 9732), List(2605, 10483), List(5835, 9032), List(9694, 10004), List(263, 5980), List(1302, 5083), List(175, 3881), List(3253, 4288), List(2101, 5473), List(2970, 5885), List(2911, 4524), List(941, 6043), List(3964, 7497), List(4715, 5187), List(6982, 7072), List(3090, 3708), List(65, 5591), List(373, 3492), List(3678, 3878), List(10214, 11329), List(138, 10765), List(1095, 6860), List(7626, 10557), List(1058, 7732), List(5101, 11265), List(130, 10123), List(5388, 8289), List(6446, 6688), List(6157, 6585), List(343, 4754), List(3977, 7328), List(1112, 7214), List(6103, 10486), List(2142, 4319), List(825, 7157), List(184, 7326), List(2441, 8523), List(4151, 8770), List(2274, 6316), List(10561, 11386), List(6850, 10312), List(1838, 2753), List(1313, 4063), List(9196, 11524), List(1061, 9477), List(1040, 8600), List(2155, 8287), List(2248, 8478), List(4263, 5978), List(9336, 10780), List(6533, 11544), List(3140, 5649), List(4568, 9997), List(2044, 3760), List(2608, 5788), List(2700, 8760), List(1647, 3535), List(5931, 10163), List(2634, 10392), List(960, 2605), List(3816, 11301), List(213, 1624), List(1851, 6748), List(5899, 11379), List(3719, 4952), List(7206, 10482), List(2328, 10285), List(9878, 10201), List(5150, 6565), List(1144, 8549), List(6798, 8967), List(363, 1568), List(485, 9667), List(10190, 11227), List(6637, 11493), List(2595, 5152), List(4954, 6626), List(3971, 9310), List(3522, 11204), List(7543, 11006), List(1065, 2779), List(4210, 4408), List(1625, 7317), List(3956, 4491), List(65, 3981), List(347, 2913), List(8399, 8897), List(2810, 8874), List(5007, 5856), List(8179, 10062), List(1209, 5537), List(2575, 2591), List(1582, 4587), List(4885, 7556), List(4938, 11354), List(2978, 9397), List(1245, 11583), List(2983, 7489), List(10787, 11459), List(2532, 2894), List(949, 1641), List(9503, 10273), List(6979, 11206), List(614, 10962), List(3128, 3679), List(9315, 10976), List(8568, 9241), List(8547, 9118), List(4366, 4897), List(1594, 7980), List(785, 5367), List(5852, 6971), List(1225, 3387), List(37, 11331), List(11029, 11342), List(7189, 8168), List(2956, 10927), List(3744, 6247), List(3245, 4614), List(2185, 2382), List(4291, 6416), List(7035, 7701), List(435, 9125), List(5505, 9492), List(4760, 5174), List(5917, 7716), List(3732, 8115), List(7818, 8312), List(5511, 7028), List(179, 4217), List(5820, 7783), List(3038, 10178), List(1799, 2319), List(2413, 3710), List(860, 3797), List(6147, 9117), List(8692, 10946), List(825, 8125), List(541, 1950), List(4708, 7993), List(1592, 4096), List(6335, 9518), List(8384, 10012), List(838, 1944), List(4542, 6011), List(1369, 7996), List(6847, 10632), List(804, 5743), List(4200, 5493), List(844, 8525), List(9426, 11291), List(1310, 1350), List(6315, 7738), List(3944, 11165), List(1580, 2931), List(5974, 7445), List(3665, 5334), List(1117, 1709), List(1020, 1776), List(182, 677), List(116, 2309), List(5683, 9898), List(3164, 4759), List(2529, 4019), List(882, 10887), List(1291, 5430), List(3942, 10688), List(5336, 9790), List(112, 8202), List(3025, 11016), List(5590, 10838), List(2311, 6011), List(6079, 7619), List(7763, 9678), List(798, 5497), List(1937, 9742), List(7632, 10161), List(1510, 7423), List(6855, 10469), List(3592, 10282), List(1656, 10631), List(2831, 10369), List(2858, 6530), List(1079, 1201), List(6374, 10546), List(3022, 11068), List(7933, 10624), List(8714, 11189), List(5094, 6069), List(1475, 7967), List(4312, 5279), List(2875, 3851), List(9887, 11231), List(6050, 7574), List(4811, 6131), List(1043, 4523), List(919, 9183), List(234, 9080), List(4056, 4535), List(3116, 3913), List(4639, 10750), List(5009, 9529), List(2586, 10514), List(6672, 10711), List(5268, 10921), List(1617, 10652), List(7198, 10003), List(2232, 8481), List(7374, 11168), List(5378, 8056), List(1087, 4421), List(61, 10441), List(3005, 8404), List(3395, 8559), List(6150, 10787), List(3047, 11259), List(1755, 6048), List(6746, 8566), List(8086, 10815), List(4149, 9960), List(1973, 10822), List(1013, 2378), List(8604, 9465), List(7234, 8505), List(233, 4667), List(6451, 7867), List(3519, 6531), List(223, 946), List(1248, 10539), List(3523, 10033), List(2391, 8487), List(676, 10498), List(674, 8173), List(4872, 8611), List(3101, 7307), List(554, 6536), List(1352, 10488), List(3038, 6958), List(4180, 4304), List(3254, 5270), List(661, 9816), List(5800, 8822), List(1851, 1918), List(1909, 8312), List(5983, 11158), List(3648, 7826), List(9814, 10082), List(349, 11392), List(4523, 8026), List(4707, 9833), List(7511, 9671), List(3144, 9232), List(9214, 9528), List(6662, 8413), List(4382, 4788), List(7377, 10610), List(2234, 9950), List(2337, 11583), List(3483, 5665), List(6189, 11384), List(4878, 7621), List(2230, 6044), List(395, 1537), List(2256, 8396), List(5972, 9814), List(2443, 10474), List(1570, 4658), List(4407, 6888), List(3252, 10054), List(8916, 11160), List(6146, 8654), List(4427, 9792), List(5390, 9839), List(4552, 8740), List(6890, 9337), List(1311, 9278), List(5366, 8664), List(8253, 9503), List(5481, 6170), List(6436, 7854), List(3767, 7652), List(3894, 7427), List(3234, 8320), List(801, 10869), List(3012, 10193), List(3782, 5681), List(1731, 2108), List(5466, 7740), List(2725, 2966), List(1171, 6615), List(5988, 9542), List(47, 3432), List(1439, 1707), List(1700, 6178), List(84, 8195), List(459, 8072), List(10528, 10848), List(6796, 8897), List(5118, 10790), List(1723, 7478), List(3514, 10188), List(1895, 2108), List(527, 1975), List(9644, 10535), List(8589, 10899), List(6311, 11484), List(1013, 1841), List(9517, 11110), List(386, 5126), List(2794, 7216), List(5872, 7623), List(4346, 6904), List(545, 2904), List(737, 9490), List(78, 10608), List(1384, 6857), List(5556, 6828), List(8828, 10484), List(5426, 10919), List(5615, 7408), List(8359, 8693), List(850, 3890), List(3212, 4881), List(540, 2910), List(9662, 11060), List(2494, 6550), List(2499, 6894), List(377, 4609), List(4984, 10170), List(2671, 11323), List(2672, 7761), List(461, 6939), List(5001, 10524), List(1054, 7453), List(1386, 5748), List(372, 6867), List(890, 8550), List(9668, 10474), List(5688, 10673), List(1756, 7910), List(3289, 4138), List(3596, 4066), List(3620, 8624), List(1944, 11344), List(387, 4142), List(6508, 7409), List(3612, 7982), List(2361, 2772), List(6985, 10192), List(4209, 9369), List(2275, 6381), List(2084, 9819), List(3543, 7064), List(905, 6175), List(55, 7725), List(2434, 11329), List(4046, 4652), List(770, 9922), List(801, 5071), List(2970, 4169), List(5184, 9426), List(6653, 9611), List(7775, 10469), List(3749, 3907), List(7245, 7271), List(736, 1643), List(584, 10671), List(2757, 6505), List(264, 1833), List(6399, 9694), List(6053, 9057), List(1178, 7623), List(6524, 7888), List(2697, 5673), List(5584, 9518), List(1482, 8788), List(3070, 3969), List(103, 3578), List(1937, 2952), List(1436, 4656), List(5615, 5798), List(3094, 5494), List(4424, 7055), List(10860, 10892), List(1832, 8039), List(4387, 7173), List(190, 9589), List(6845, 8626), List(3427, 8528), List(581, 2048), List(5873, 6214), List(215, 8306), List(7921, 8735), List(2764, 9123), List(5219, 10305), List(5281, 5521), List(3032, 3461), List(3276, 3821), List(390, 10000), List(1723, 10324), List(754, 10462), List(1783, 4713), List(162, 6386), List(2316, 5176), List(1096, 7947), List(3675, 7475), List(2057, 6413), List(5983, 9361), List(4672, 5598), List(1343, 1408), List(7545, 9737), List(2621, 2779), List(6633, 10409), List(4357, 10690), List(4088, 6301), List(616, 7495), List(3864, 4341), List(3273, 10289), List(2364, 10478), List(5633, 8201), List(86, 7680), List(1777, 10910), List(1493, 11151), List(9265, 10702), List(2106, 9688), List(3513, 6743), List(6317, 8833), List(7184, 8418), List(2131, 5022), List(2793, 3421), List(861, 1260), List(3543, 8837), List(7400, 8982), List(924, 5746), List(927, 5263), List(5898, 6405), List(889, 2527), List(4177, 5218), List(3352, 8488), List(314, 340), List(4458, 10341), List(4339, 8929), List(4955, 11147), List(1691, 7352), List(232, 1439), List(1078, 2399), List(407, 6166), List(5523, 7632), List(6987, 7473), List(4888, 6892), List(3639, 4007), List(3612, 5567), List(4790, 8986), List(3305, 8268), List(9776, 11160), List(1368, 2353), List(1586, 3744), List(1651, 8303), List(2776, 8678), List(1022, 10761), List(3104, 7231), List(6304, 10075), List(1209, 10587), List(3009, 3961), List(3704, 5506), List(3506, 4767), List(6871, 9368), List(245, 4653), List(10508, 11459), List(1418, 8482), List(2350, 8462), List(1538, 6332), List(4901, 10106), List(4443, 9228), List(448, 1979), List(4775, 5271), List(611, 10079), List(5021, 8710), List(3033, 9623), List(3650, 10531), List(4278, 7848), List(5419, 8756), List(5680, 6811), List(4276, 7021), List(9873, 11069), List(9718, 10000), List(4608, 9480), List(999, 3021), List(6503, 6878), List(5635, 7068), List(8033, 8470), List(2346, 11322), List(3863, 8545), List(7027, 8726), List(6505, 9553), List(3296, 3967), List(2733, 11209), List(6503, 7228), List(5563, 8104), List(88, 9149), List(3541, 9433), List(1041, 1338), List(5223, 8413), List(2035, 9366), List(1039, 1265), List(3377, 5245), List(5001, 6499), List(1627, 11234), List(6613, 6992), List(7547, 7799), List(818, 2205), List(3803, 7339), List(320, 1928), List(4621, 10415), List(1989, 2955), List(4399, 5118), List(9533, 10196), List(541, 7000), List(787, 4023), List(1537, 5275), List(1681, 2021), List(5323, 10872), List(7157, 10246), List(10763, 10772), List(6810, 9384), List(1151, 2206), List(4038, 6051), List(2024, 11405), List(3471, 7135), List(8801, 9873), List(391, 5901), List(5714, 10878), List(6550, 11150), List(9352, 10161), List(4746, 8208), List(3262, 6180), List(2875, 9706), List(299, 9695), List(786, 3397), List(4782, 7084), List(5549, 9471), List(62, 5968), List(1676, 7288), List(903, 10748), List(3728, 7299), List(718, 10968), List(146, 1882), List(4318, 7515), List(9760, 10494), List(1544, 7519), List(337, 8243), List(676, 1293), List(6343, 6834), List(1883, 3952), List(231, 10476), List(4522, 7695), List(8224, 8683), List(287, 7375), List(4184, 4667), List(6885, 10042), List(2192, 8090), List(254, 8366), List(3580, 6623), List(536, 5046), List(441, 8192), List(2862, 4128), List(224, 10409), List(2545, 8393), List(530, 7483), List(1239, 5728), List(4291, 5668), List(8745, 10233), List(187, 4111), List(206, 8325), List(2267, 6170), List(3917, 9399), List(8810, 9130), List(159, 2063), List(5601, 9206), List(3264, 5047), List(8429, 9438), List(9043, 10829), List(1135, 11390), List(230, 2653), List(979, 1428), List(4970, 11187), List(201, 1134), List(2035, 3918), List(572, 2767), List(2437, 7870), List(3407, 10586), List(845, 8783), List(6478, 8324), List(617, 5169), List(374, 6165), List(1592, 6731), List(1181, 1535), List(1805, 7778), List(8616, 11492), List(2508, 8460), List(1859, 8014), List(2010, 8183), List(2137, 9456), List(545, 3953), List(7580, 8873), List(4466, 6557), List(4001, 10170), List(5133, 5300), List(6052, 11491), List(3816, 8138), List(3528, 10889), List(3652, 6983), List(6728, 7317), List(267, 5113), List(1139, 11458), List(2882, 10714), List(3431, 5294), List(4578, 7148), List(533, 2788), List(3423, 10314), List(8592, 9162), List(5106, 6486), List(66, 1043), List(4042, 9770), List(954, 1505), List(3575, 10304), List(4012, 11059), List(1274, 6556), List(3043, 4781), List(3796, 9714), List(275, 1567), List(8389, 10681), List(5868, 8125), List(7836, 9943), List(758, 4195), List(6764, 9202), List(3870, 4186), List(3725, 7969), List(1875, 10344), List(734, 9436), List(1684, 4360), List(7081, 8320), List(603, 4257), List(7633, 8833), List(1186, 6335), List(5766, 7067), List(9845, 11011), List(2221, 7948), List(196, 5596), List(4855, 4931), List(495, 5663), List(4142, 9196), List(5919, 11446), List(413, 6762), List(1244, 6690), List(5783, 8175), List(1581, 3077), List(2184, 11449), List(7584, 7786), List(4669, 8309), List(7179, 9952), List(6403, 7479), List(10699, 11458), List(4340, 8807), List(1764, 9550), List(8610, 11565), List(8486, 9809), List(1134, 9154), List(2653, 6450), List(1753, 4473), List(853, 6660), List(2071, 3062), List(825, 11028), List(478, 1121), List(7363, 9480), List(2509, 6671), List(7669, 10718), List(3536, 4259), List(5339, 7730), List(5399, 7781), List(5891, 8243), List(8036, 9199), List(1124, 11068), List(1835, 3724), List(3954, 11373), List(353, 2523), List(1657, 11531), List(2410, 9294), List(4461, 10615), List(605, 9160), List(8597, 10929), List(9084, 10293), List(7596, 11529), List(931, 1224), List(278, 3288), List(2239, 10351), List(10759, 11485), List(4940, 9310), List(7400, 10836), List(934, 8288), List(3350, 10296), List(2194, 4192), List(6587, 9235), List(546, 7425), List(5434, 6812), List(1136, 5012), List(4773, 7103), List(5375, 5451), List(7042, 9815), List(3685, 9993), List(1453, 3376), List(5737, 10004), List(7547, 8230), List(2726, 4403), List(702, 4905), List(1822, 9100), List(1533, 4833), List(1909, 7564), List(8848, 10524), List(10131, 11485), List(4995, 6334), List(2058, 11070), List(1929, 8216), List(3173, 10757), List(5948, 11355), List(662, 8889), List(3453, 6610), List(4826, 4835), List(935, 10741), List(9529, 10104), List(7841, 10555), List(6817, 10986), List(2512, 5763), List(963, 9756), List(8117, 9672), List(1307, 3150), List(6863, 7197), List(3177, 7843), List(3753, 6498), List(2113, 4711), List(4592, 4789), List(4215, 9003), List(3044, 5220), List(2817, 5995), List(2500, 3844), List(423, 6220), List(8659, 9847), List(6487, 8199), List(472, 1194), List(1315, 2637), List(7388, 8866), List(7379, 11032), List(1381, 4388), List(3673, 4640), List(63, 6624), List(4916, 6956), List(814, 2062), List(1368, 9818), List(3321, 3434), List(98, 6056), List(6254, 7624), List(844, 9818), List(1749, 5723), List(4705, 5201), List(961, 11157), List(8995, 9365), List(9148, 9607), List(4850, 5555), List(4629, 9528), List(2017, 10614), List(4469, 8115), List(4653, 7670), List(427, 5184), List(3355, 9030), List(3042, 4369), List(10191, 11111), List(4260, 7941), List(2701, 4076), List(3472, 3953), List(6302, 7264), List(8764, 9617), List(10159, 11573), List(3442, 5242), List(5085, 7300), List(1764, 7135), List(7423, 7897), List(288, 1615), List(1729, 10332), List(512, 10368), List(1035, 5979), List(7979, 9283), List(1338, 3536), List(5181, 10391), List(562, 3315), List(1996, 5199), List(7880, 8523), List(315, 405), List(657, 9968), List(2646, 6247), List(2214, 4338), List(1775, 2756), List(3738, 4230), List(10928, 10973), List(3022, 8978), List(4918, 8476), List(3770, 7151), List(2366, 7361), List(124, 6472), List(181, 7006), List(9709, 10182), List(10542, 10937), List(877, 4989), List(7594, 9068), List(3824, 6633), List(7807, 10115), List(2017, 6426), List(1210, 4640), List(2961, 7921), List(6377, 8323), List(4715, 10749), List(8553, 10844), List(6306, 9611), List(1358, 1505), List(430, 4650), List(2701, 3271), List(10596, 11523), List(8318, 10977), List(3841, 4708), List(1131, 1499), List(2125, 9527), List(2312, 9353), List(787, 11488), List(3576, 6130), List(387, 7582), List(8847, 10917), List(9435, 11087), List(5288, 7204), List(4830, 5572), List(2994, 6125), List(4957, 7599), List(5033, 5931), List(1836, 3358), List(4074, 6757), List(748, 2084), List(5748, 8128), List(926, 4076), List(1433, 5570), List(4597, 5751), List(3074, 10965), List(51, 7259), List(579, 9630), List(4404, 5356), List(1506, 10020), List(7154, 10593), List(4931, 8256), List(4463, 5936), List(101, 4343), List(5056, 10587), List(2649, 11351), List(665, 9754), List(3399, 6187), List(5479, 8246), List(2308, 4642), List(2110, 4657), List(6786, 8103), List(10034, 11365), List(1471, 11315), List(4580, 7625), List(8623, 11158), List(8652, 9644), List(3301, 6783), List(5536, 5747), List(3736, 5957), List(8125, 10127), List(1399, 8968), List(1963, 10996), List(430, 9106), List(1542, 2106), List(153, 4102), List(1116, 3395), List(8762, 10189), List(4964, 6460), List(4534, 10259), List(1074, 6552), List(1905, 6480), List(545, 6962), List(5863, 7431), List(5894, 6744), List(768, 8697), List(534, 8301), List(4343, 10664), List(8968, 10415), List(1437, 4133), List(2304, 10134), List(7164, 7473), List(1067, 5731), List(1146, 10750), List(835, 5381), List(776, 8938), List(7581, 8700), List(1464, 6306), List(4222, 8051), List(5435, 8273), List(3640, 8827), List(2697, 10186), List(484, 7783), List(2574, 9032), List(2326, 4766), List(4719, 11486), List(1517, 6317), List(7176, 7833), List(1538, 4161), List(540, 5813), List(3468, 9659), List(1782, 6773), List(9101, 9200), List(6305, 7725), List(9908, 10986), List(293, 9319), List(1685, 6840), List(105, 11520), List(9028, 10415), List(4955, 8171), List(373, 10022), List(4048, 9187), List(880, 11516), List(118, 9503), List(368, 2481), List(6400, 6457), List(3044, 9489), List(6435, 8895), List(2923, 11414), List(3888, 7370), List(2391, 11553), List(3730, 4532), List(762, 9955), List(3200, 7750), List(832, 8442), List(980, 11346), List(5066, 5127), List(6525, 8788), List(3223, 8673), List(5287, 10199), List(5050, 10286), List(2942, 6179), List(1476, 5511), List(5519, 9044), List(8581, 9672), List(4092, 8304), List(2841, 8756), List(6235, 7679), List(2563, 6533), List(8437, 9169), List(2191, 11091), List(1531, 5568), List(282, 3437), List(9118, 9503), List(1036, 4808), List(30, 183), List(2356, 5681), List(898, 4874), List(5447, 11211), List(363, 1332), List(5184, 5913), List(2768, 3905), List(6945, 9882), List(25, 5474), List(5821, 6699), List(9582, 11300), List(492, 7569), List(6059, 8742), List(4968, 7197), List(6155, 9204), List(3347, 9624), List(4539, 11221), List(10014, 10176), List(6055, 11252), List(164, 4505), List(2142, 7011), List(296, 6876), List(3214, 10034), List(3845, 6868), List(3998, 7864), List(3724, 8793), List(1713, 3895), List(1561, 6507), List(5802, 8527), List(728, 9916), List(7667, 8712), List(3803, 10779), List(3144, 4727), List(5878, 6078), List(494, 825), List(2771, 9814), List(255, 10608), List(7440, 9837), List(998, 7683), List(153, 10331), List(1806, 10071), List(3287, 7637), List(1880, 1914), List(1616, 3531), List(1260, 8622), List(184, 8863), List(950, 7642), List(5874, 8938), List(3883, 5416), List(1606, 6226), List(1888, 5158), List(7268, 11423), List(4395, 7284), List(2342, 2884), List(5053, 8193), List(37, 1646), List(4980, 7156), List(2414, 7833), List(3529, 7520), List(6330, 10093), List(5580, 8841), List(7223, 10899), List(9348, 10449), List(3959, 6350), List(4959, 6279), List(1199, 10948), List(6785, 10673), List(1238, 3736), List(690, 3342), List(9461, 10511), List(2205, 6154), List(956, 4023), List(2148, 9784), List(3617, 9969), List(7399, 9031), List(1867, 9542), List(18, 3474), List(828, 8941), List(2550, 7320), List(7711, 7805), List(1057, 7458), List(6346, 7189), List(6401, 6896), List(4689, 9959), List(8980, 10588), List(3130, 6094), List(7087, 10607), List(3231, 6900), List(2161, 6232), List(3563, 9359), List(3602, 9287), List(2377, 5298), List(8734, 10532), List(6991, 7866), List(2189, 5247), List(5265, 5581), List(1637, 10369), List(753, 6673), List(4343, 9672), List(159, 1770), List(6454, 11044), List(7132, 9976), List(2130, 7269), List(6108, 10407), List(7660, 10095), List(4981, 9205), List(9900, 10157), List(6486, 9047), List(5076, 6059), List(657, 9594), List(4538, 8635), List(1896, 3840), List(5468, 6290), List(2016, 2444), List(123, 6627), List(9708, 10337), List(3827, 10694), List(2983, 9026), List(7145, 10561), List(1615, 5483), List(1512, 3850), List(3700, 7886), List(1052, 6309), List(10011, 11277), List(1700, 7284), List(3035, 8435), List(2037, 10087), List(1263, 4277), List(1316, 3911), List(8191, 8576), List(3158, 10720), List(2074, 6936), List(71, 8315), List(16, 2192), List(2741, 11371), List(812, 9481), List(6667, 7903), List(6200, 9191), List(2332, 3969), List(778, 6864), List(442, 1253), List(2486, 7819), List(2152, 2281), List(1641, 8932), List(4321, 6260), List(804, 8435), List(7156, 7663), List(6123, 10260), List(5441, 9674), List(2851, 5823), List(3778, 5459), List(3530, 5357), List(536, 3143), List(469, 1921), List(4150, 10700), List(2555, 7932), List(1008, 6336), List(2188, 6418), List(3981, 9201), List(1221, 6629), List(4364, 8185), List(3115, 6054), List(1064, 8897), List(1279, 10771), List(2116, 7481), List(583, 5591), List(8, 3374), List(7413, 7827), List(2143, 3642), List(155, 6053), List(5158, 5952), List(615, 5479), List(4410, 11162), List(9415, 11134), List(5239, 8011), List(4505, 11399), List(2669, 5536), List(2622, 11382), List(2505, 4381), List(6199, 7006), List(3439, 5188), List(127, 10801), List(1351, 8149), List(1844, 5049), List(7532, 11467), List(1751, 2606), List(8010, 8059), List(6627, 9146), List(2236, 8313), List(6480, 9850), List(1366, 8430), List(6212, 7591), List(5121, 6046), List(2266, 7374), List(7584, 7843), List(5624, 10050), List(2539, 8472), List(734, 8338), List(4409, 6749), List(8767, 9354), List(3390, 7524), List(1081, 5413), List(114, 6378), List(7746, 9302), List(3407, 10911), List(5244, 7550), List(8196, 9538), List(5183, 9526), List(2815, 3802), List(7703, 9605), List(538, 11028), List(471, 3390), List(1249, 2903), List(497, 7994), List(4291, 8571), List(2985, 5152), List(7093, 7582), List(2342, 8658), List(4639, 9254), List(1929, 6045), List(1614, 11137), List(2273, 10773), List(3020, 5338), List(4322, 7103), List(6311, 6792), List(616, 6373), List(2269, 6867), List(2207, 5989), List(987, 8760), List(159, 8349), List(3362, 7704), List(2884, 5450), List(3537, 6015), List(4225, 10553), List(4120, 5841), List(5972, 9928), List(7046, 7362), List(5368, 8501), List(5184, 6694), List(4750, 9620), List(8100, 9025), List(2573, 9880), List(1035, 7646), List(362, 9058), List(6635, 11211), List(2789, 8192), List(1194, 5424), List(4058, 5313), List(873, 6537), List(6286, 8024), List(4243, 4312), List(3481, 8715), List(2961, 6205), List(7541, 7691), List(5015, 7043), List(3487, 5497), List(8337, 8564), List(7101, 10802), List(3954, 7592), List(3882, 6026), List(745, 1252), List(3472, 7848), List(180, 8421), List(8203, 8749), List(1730, 11446), List(400, 4223), List(3920, 5729), List(337, 9536), List(6335, 10518), List(5256, 10488), List(886, 4116), List(2498, 4609), List(548, 1088), List(396, 3700), List(2629, 6755), List(2159, 3608), List(1042, 8012), List(197, 9906), List(6324, 6572), List(3521, 3926), List(7602, 7943), List(4981, 10441), List(8718, 10484), List(1096, 1832), List(9309, 10171), List(8964, 10890), List(6655, 8779), List(3487, 4692), List(1017, 5107), List(365, 980), List(2758, 7700), List(2830, 3604), List(9705, 10521), List(7306, 10402), List(4219, 11407), List(2254, 9860), List(3974, 11576), List(2478, 5781), List(6015, 11428), List(659, 3305), List(139, 5713), List(1159, 1376), List(2778, 3040), List(3337, 6976), List(2736, 9230), List(6600, 11300), List(5361, 9103), List(2864, 7695), List(1556, 1951), List(342, 1504), List(7377, 11342), List(345, 5939), List(307, 9619), List(835, 4820), List(4221, 10298), List(6807, 10997), List(179, 10373), List(7144, 7384), List(7343, 8725), List(1111, 10353), List(212, 8978), List(3168, 8456), List(1072, 8146), List(1096, 6288), List(1391, 9589), List(3406, 4837), List(1979, 9759), List(8997, 11322), List(7789, 9192), List(1656, 7793), List(2365, 6038), List(9433, 11071), List(3573, 5135), List(3206, 10791), List(2244, 4930), List(8615, 10624), List(871, 1043), List(7094, 10249), List(5791, 11265), List(836, 8404), List(3544, 3616), List(1926, 9724), List(9637, 11251), List(2985, 5315), List(2911, 9338), List(829, 4200), List(5376, 9710), List(2379, 3061), List(3659, 5259), List(951, 8512), List(5023, 11285), List(8068, 9300), List(6480, 7703), List(7543, 11364), List(1807, 3774), List(3271, 7779), List(1913, 4924), List(7107, 7801), List(727, 6525), List(6974, 7457), List(1600, 9308), List(848, 7983), List(9394, 10338), List(8941, 9804), List(7310, 10789), List(935, 10611), List(4352, 10484), List(1, 382), List(868, 2219), List(333, 5847), List(1518, 10437), List(497, 3969), List(2675, 6563), List(7269, 7755), List(7890, 10317), List(4949, 5455), List(672, 2280), List(271, 1182), List(9884, 10323), List(2136, 9668), List(4304, 7410), List(4555, 4777), List(2817, 5865), List(1439, 8050), List(857, 8826), List(762, 5556), List(3964, 8473), List(1844, 8513), List(2250, 3539), List(2351, 4345), List(875, 2235), List(2366, 4653), List(2407, 4654), List(4391, 7005), List(5574, 10768), List(3774, 4562), List(7667, 11534), List(8035, 9486), List(5454, 9885), List(4043, 8924), List(1113, 8415), List(586, 8898), List(4204, 7529), List(1298, 7414), List(3044, 3935), List(655, 10166), List(1770, 9853), List(3908, 9638), List(5002, 8448), List(4245, 6025), List(2846, 7333), List(6762, 8839), List(2574, 2673), List(4645, 6898), List(2193, 5233), List(6391, 9835), List(1823, 4202), List(458, 10002), List(1071, 2123), List(3784, 4849), List(5766, 9783), List(7449, 8988), List(6418, 8248), List(170, 675), List(8387, 10668), List(2582, 5193), List(1563, 5968), List(1411, 8580), List(5263, 6129), List(3277, 10121), List(6787, 10185), List(5269, 10081), List(1155, 7836), List(7869, 10863), List(5814, 10554), List(10106, 10627), List(3384, 3952), List(2319, 3628), List(1608, 4556), List(2568, 6584), List(6028, 8039), List(4350, 9932), List(1325, 5399), List(2820, 5307), List(2192, 4203), List(4671, 10697), List(901, 1846), List(498, 11255), List(257, 8160), List(312, 8621), List(3308, 4465), List(7972, 10560), List(1892, 3160), List(2652, 9264), List(5320, 11493), List(4391, 8778), List(6569, 7208), List(867, 3366), List(2864, 10086), List(10796, 11050), List(335, 9921), List(7442, 10745), List(8762, 10864), List(5589, 7187), List(1581, 5338), List(7207, 10878), List(3507, 7684), List(8639, 8929), List(979, 10373), List(1753, 9767), List(3494, 5944), List(378, 9217), List(4003, 8265), List(223, 5142), List(4653, 9313), List(916, 10024), List(1499, 5686), List(7667, 8769), List(2226, 9398), List(41, 2627), List(3993, 10960), List(7566, 11346), List(1253, 5630), List(7158, 9831), List(2097, 9927), List(4430, 10180), List(3456, 9974), List(3822, 5601), List(5187, 11098), List(7590, 9838), List(9923, 10091), List(632, 2694), List(3420, 10667), List(3728, 8568), List(3563, 3805), List(4657, 9031), List(1906, 6575), List(5149, 5329), List(3849, 10026), List(1810, 9496), List(6732, 9965), List(3617, 9676), List(635, 8977), List(6480, 6711), List(5425, 7075), List(3338, 8009), List(6051, 10735), List(3369, 9574), List(5614, 7728), List(1497, 1802), List(2925, 6150), List(628, 5554), List(1304, 8577), List(4802, 7850), List(1436, 3778), List(1364, 2212), List(4584, 9842), List(2063, 3876), List(3737, 5247), List(4783, 6295), List(3910, 6895), List(122, 7264), List(1061, 11421), List(210, 3701), List(3257, 4795), List(433, 5436), List(9072, 10234), List(1916, 9491), List(8012, 11008), List(4259, 10432), List(7986, 9787), List(2389, 5739), List(651, 6827), List(475, 4157), List(3439, 7660), List(7176, 7703), List(6763, 11506), List(1754, 8382), List(753, 3347), List(6707, 8164), List(4202, 6141), List(4637, 6069), List(3554, 4385), List(71, 6144), List(2461, 6931), List(3359, 8081), List(4367, 7871), List(4419, 11444), List(4701, 10376), List(2671, 7680), List(80, 221), List(1220, 1628), List(3107, 4046), List(2167, 2670), List(3041, 3426), List(1182, 2275), List(7928, 11256), List(108, 4871), List(11100, 11298), List(2167, 6053), List(3729, 6429), List(6559, 7488), List(6214, 10459), List(7730, 10490), List(9531, 10882), List(1346, 3056), List(1569, 4791), List(10218, 11031), List(5175, 6071), List(659, 5509), List(5480, 10090), List(6316, 10362), List(6105, 9361), List(6652, 8776), List(8995, 10471), List(556, 1597), List(4420, 7077), List(6555, 9597), List(837, 4468), List(8018, 9213), List(3792, 6727), List(5210, 10387), List(4244, 7790), List(8099, 11272), List(456, 8159), List(5767, 8211), List(1073, 9821), List(4347, 7888), List(699, 11300), List(3022, 6701), List(7722, 8289), List(728, 3370), List(7166, 10286), List(1027, 6443), List(75, 8440), List(28, 7870), List(3137, 7590), List(6223, 6360), List(10956, 11094), List(6909, 10071), List(6842, 8849), List(369, 11546), List(7342, 9172), List(3538, 5655), List(3486, 5465), List(1294, 3939), List(6094, 7643), List(7310, 7382), List(7494, 9943), List(5216, 9397), List(4292, 7026), List(512, 3903), List(1105, 4417), List(7271, 7427), List(1975, 4273), List(2498, 4048), List(231, 11208), List(1690, 10705), List(5023, 6723), List(4362, 11178), List(2875, 3217), List(3126, 7000), List(5581, 8182), List(7045, 8023), List(1006, 1378), List(8753, 8978), List(2781, 2801), List(8510, 9220), List(8014, 11268), List(7541, 9358), List(7078, 7382), List(3303, 11019), List(962, 4489), List(4014, 4429), List(3678, 4480), List(5794, 6196), List(1028, 6240), List(532, 9042), List(5609, 6416), List(349, 9335), List(3828, 4424), List(2857, 10151), List(1773, 4115), List(4730, 6447), List(7144, 7628), List(2140, 8258), List(2854, 7601), List(617, 7056), List(856, 9324), List(6160, 10841), List(2383, 4983), List(1354, 5070), List(798, 2903), List(2570, 4809), List(1935, 10485), List(4622, 11236), List(8846, 11397), List(7763, 10467), List(910, 6527), List(3429, 6004), List(10249, 10962), List(3611, 5486), List(7077, 10139), List(3087, 9650), List(993, 5249), List(5196, 10949), List(1901, 5589), List(2294, 10953), List(7927, 11248), List(5907, 9240), List(1435, 3315), List(2297, 4808), List(8729, 8903), List(5931, 10765), List(5803, 11519), List(245, 10809), List(7673, 10550), List(3776, 6088), List(3008, 10646), List(3629, 9044), List(4052, 5205), List(2661, 9784), List(3368, 7956), List(4242, 4548), List(2846, 9537), List(4608, 5837), List(1478, 5240), List(7104, 10026), List(449, 5327), List(3706, 7951), List(5139, 6227), List(1995, 6698), List(3521, 8171), List(1964, 5133), List(562, 2006), List(1496, 9983), List(5071, 11196), List(1282, 4547), List(2092, 10014), List(5793, 8148), List(834, 10049), List(5419, 5463), List(3609, 4985), List(491, 6677), List(54, 6676), List(4348, 5324), List(4659, 9158), List(1383, 8012), List(4557, 8881), List(1890, 3090), List(2855, 5462), List(8682, 9006), List(6430, 7429), List(3035, 4117), List(4602, 5591), List(3227, 10703), List(5868, 8857), List(419, 5461), List(5211, 10021), List(1381, 7535), List(7757, 11321), List(7567, 11197), List(661, 1961), List(4210, 10621), List(5167, 6716), List(660, 11158), List(5323, 7229), List(5203, 6346), List(4487, 10340), List(864, 1539), List(55, 9506), List(4117, 11561), List(4320, 5504), List(6195, 11295), List(9612, 11168), List(1856, 6488), List(3201, 8327), List(1609, 9240), List(2349, 3388), List(4289, 9574), List(2272, 11247), List(4557, 8076), List(7767, 10854), List(952, 3988), List(2701, 10606), List(2659, 11134), List(1284, 9830), List(3159, 9205), List(5327, 6947), List(6452, 7322), List(500, 8967), List(4985, 7183), List(10150, 10820), List(4895, 8421), List(6750, 7918), List(9843, 10111), List(523, 1222), List(5882, 8108), List(1300, 10713), List(1248, 10523), List(3258, 4673), List(1551, 1664), List(28, 6878), List(4518, 11100), List(9329, 10829), List(7644, 8545), List(4013, 9652), List(1859, 9364), List(620, 1505), List(3885, 8154), List(8212, 11446), List(8545, 11097), List(5532, 11085), List(8173, 11491), List(7984, 8586), List(8202, 9977), List(4747, 6614), List(4318, 10638), List(3496, 7820), List(3406, 11310), List(2471, 10278), List(4059, 6213), List(8042, 8941), List(3801, 5423), List(2350, 5787), List(2997, 3154), List(507, 9333), List(6257, 10213), List(2282, 4340), List(8998, 11200), List(5830, 7113), List(837, 7932), List(3915, 9093), List(2170, 9010), List(4047, 5048), List(1862, 4693), List(3978, 6409), List(4258, 9432), List(2117, 9349), List(801, 5242), List(3944, 4546), List(2478, 3878), List(392, 3502), List(612, 5720), List(3716, 8102), List(7105, 10845), List(7087, 9485), List(69, 7952), List(361, 5320), List(1844, 2959), List(256, 1362), List(3893, 10623), List(753, 2168), List(3373, 8113), List(1902, 7101), List(1901, 7630), List(4767, 10598), List(5107, 6502), List(1652, 3139), List(1337, 8231), List(4083, 6933), List(5423, 9182), List(3952, 8170), List(342, 9400), List(991, 1178), List(5724, 5912), List(8313, 10292), List(2114, 4890), List(2547, 10407), List(2583, 4402), List(4159, 4484), List(363, 7244), List(2424, 9253), List(1744, 9494), List(4817, 10311), List(10085, 11417), List(5259, 10656), List(1921, 4468), List(6587, 11390), List(4089, 6374), List(4448, 7970), List(10967, 11310), List(9014, 11278), List(824, 9524), List(2412, 4705), List(2940, 7076), List(1044, 7578), List(7582, 9440), List(2439, 9534), List(7678, 9902), List(1537, 4478), List(3064, 6553), List(4681, 6636), List(445, 3462), List(2598, 4279), List(6918, 10564), List(3993, 10399), List(8347, 11350), List(7652, 10559), List(2302, 10552), List(4260, 7518), List(2794, 6850), List(2828, 3428), List(7962, 8506), List(1761, 2277), List(2366, 11476), List(3734, 4439), List(5098, 11246), List(5349, 8613), List(5380, 7926), List(681, 5028), List(8461, 8604), List(4264, 11020), List(1728, 10438), List(16, 6331), List(4770, 8936), List(1320, 1753), List(977, 11213), List(2109, 6343), List(1106, 7651), List(4905, 8572), List(7785, 8994), List(233, 7497), List(479, 10936), List(8981, 11464), List(45, 11583), List(6069, 10780), List(2210, 3392), List(1313, 11512), List(2143, 2170), List(3061, 4696), List(3056, 4352), List(778, 1554), List(3737, 7719), List(3241, 3351), List(407, 9720), List(5324, 9845), List(9123, 10766), List(680, 10818), List(1062, 4696), List(4687, 6026), List(9461, 10007), List(6025, 7448), List(3891, 8536), List(4880, 9050), List(7058, 8234), List(4656, 10096), List(919, 3637), List(5523, 9681), List(4540, 5949), List(8012, 10447), List(978, 8381), List(1599, 6779), List(2232, 4440), List(506, 2909), List(2682, 11092), List(830, 11112), List(39, 3443), List(3717, 8541), List(3457, 7678), List(3811, 5924), List(4401, 9173), List(2811, 6749), List(1777, 5738), List(5519, 6125), List(9182, 10191), List(4428, 4580), List(7633, 7768), List(501, 10829), List(6882, 9297), List(2455, 8053), List(5204, 10436), List(369, 6179), List(675, 9669), List(3269, 7977), List(8675, 9047), List(7270, 11284), List(5379, 5714), List(6344, 8086), List(7734, 9698), List(2753, 5616), List(9105, 11260), List(4406, 8362), List(4683, 11114), List(6648, 9251), List(235, 9747), List(2697, 8690), List(493, 4121), List(1630, 5287), List(2404, 11097), List(3216, 6811), List(1825, 11390), List(1412, 9531), List(2816, 7069), List(702, 11061), List(2490, 7084), List(4427, 9589), List(6982, 8723), List(354, 929), List(4829, 11289), List(2145, 10055), List(851, 1735), List(4679, 7558), List(192, 9269), List(3012, 3224), List(804, 7581), List(6683, 11315), List(6383, 11023), List(1959, 3634), List(2989, 11319), List(4037, 9030), List(2017, 7776), List(7841, 10295), List(52, 9639), List(3383, 4076), List(2395, 10580), List(6287, 7528), List(1992, 2993), List(2606, 10800), List(9294, 9977), List(309, 3788), List(2943, 7941), List(4627, 9246), List(1879, 4055), List(516, 11436), List(1889, 8907), List(798, 10368), List(2594, 4000), List(7485, 9320), List(1066, 2454), List(1754, 2828), List(8386, 10741), List(3336, 10272), List(74, 888), List(5278, 10869), List(2252, 4236), List(6918, 6994), List(3060, 8876), List(6699, 7630), List(3987, 8512), List(6141, 7302), List(9398, 9926), List(3859, 9266), List(2267, 3763), List(930, 5949), List(5389, 8606), List(2927, 6253), List(5198, 5628), List(4971, 6403), List(127, 11452), List(8998, 9403), List(7711, 10952), List(9273, 11328), List(278, 4451), List(648, 3984), List(8684, 10933), List(1146, 1228), List(337, 5031), List(6064, 10623), List(1078, 2033), List(5097, 5172), List(270, 7192), List(3095, 10159), List(6574, 9412), List(2570, 5053), List(199, 8480), List(3709, 9298), List(5059, 5819), List(4916, 5541), List(874, 4862), List(9817, 11549), List(1032, 2038), List(254, 5154), List(686, 5565), List(4741, 10613), List(3306, 5094), List(1095, 3518), List(7314, 9572), List(6063, 6614), List(7382, 7986), List(5078, 6219), List(5191, 10068), List(2713, 10592), List(3668, 6614), List(5309, 11255), List(5025, 5834), List(577, 10883), List(429, 3815), List(370, 6618), List(1896, 7337), List(3689, 10120), List(1641, 6818), List(2849, 6696), List(3657, 4920), List(3693, 4577), List(673, 7558), List(11281, 11366), List(441, 7208), List(4620, 8350), List(1812, 4606), List(6354, 9772), List(851, 2353), List(7168, 8942), List(8415, 11000), List(1768, 11100), List(8182, 11206), List(7094, 9932), List(7772, 8864), List(427, 2964), List(397, 843), List(5130, 8987), List(9543, 11299), List(9054, 11108), List(6222, 6970), List(49, 3543), List(4350, 5614), List(1939, 9642), List(5553, 10029), List(1751, 3175), List(5995, 11128), List(4366, 8776), List(2282, 9227), List(6391, 11128), List(8073, 10108), List(1139, 8246), List(7569, 8885), List(297, 9657), List(4929, 11333), List(1787, 2051), List(6797, 9537), List(1186, 7311), List(3063, 6759), List(10026, 10113), List(6302, 8777), List(7596, 9927), List(5977, 6011), List(4242, 7370), List(689, 3472), List(904, 5346), List(4207, 8315), List(8749, 9317), List(2651, 11137), List(2677, 5942), List(1588, 5224), List(4162, 4408), List(400, 6752), List(858, 1214), List(1952, 6440), List(3385, 4716), List(900, 11239), List(243, 352), List(153, 10258), List(1916, 10166), List(1551, 9479), List(4531, 9351), List(5971, 8798), List(2442, 9458), List(1322, 3011), List(3415, 3777), List(7479, 8187), List(8571, 10334), List(1635, 11055), List(2251, 2693), List(7082, 7962), List(576, 1851), List(3680, 8397), List(1529, 3462), List(5804, 9974), List(6441, 6653), List(966, 8452), List(6191, 6478), List(7309, 9846), List(3332, 10316), List(2924, 5795), List(8213, 8532), List(4696, 10707), List(2294, 5399), List(4078, 5410), List(2806, 7991), List(535, 2200), List(2486, 6323), List(2132, 10706), List(824, 4962), List(4621, 11472), List(1135, 8796), List(3191, 6297), List(3439, 4147), List(7523, 7681), List(4283, 8444), List(5455, 8665), List(9821, 11131), List(8073, 11531), List(5580, 7613), List(8235, 9580), List(1630, 3490), List(444, 11507), List(4456, 9311), List(4769, 7556), List(6854, 8461), List(2067, 9880), List(5443, 7500), List(1067, 7699), List(8278, 8903), List(9772, 10838), List(7530, 9949), List(9610, 9756), List(3013, 10697), List(3474, 5430), List(3171, 5621), List(1646, 3592), List(5937, 11391), List(2981, 5497), List(49, 4161), List(2952, 9640), List(275, 3161), List(6546, 9405), List(921, 7473), List(4682, 5658), List(8978, 9637), List(3622, 5678), List(4685, 5175), List(6429, 11449), List(1391, 9085), List(1869, 4953), List(3997, 4774), List(592, 774), List(8504, 10131), List(5634, 6263), List(1465, 3557), List(1341, 1801), List(1841, 6288), List(7842, 10951), List(151, 10830), List(3821, 4733), List(767, 2468), List(3232, 11508), List(5503, 10129), List(2203, 4425), List(3672, 8774), List(559, 5148), List(1880, 8875), List(6473, 10566), List(2511, 5709), List(114, 7915), List(150, 3408), List(8739, 9597), List(1896, 6345), List(5990, 7214), List(3840, 9297), List(920, 9476), List(3969, 5735), List(2190, 6822), List(2169, 5945), List(2780, 3655), List(3750, 6371), List(3563, 4293), List(5613, 10647), List(1172, 10451), List(6918, 7425), List(3900, 7069), List(4177, 9821), List(8110, 9022), List(7351, 10690), List(7356, 11034), List(4121, 5725), List(244, 2669), List(433, 5574), List(598, 7331), List(7218, 7313), List(7407, 10218), List(315, 4764), List(6781, 7312), List(4949, 7984), List(4267, 11562), List(1867, 3671), List(765, 8383), List(5894, 5947), List(1663, 3117), List(6839, 11050), List(860, 10872), List(2003, 6191), List(822, 8136), List(5061, 9329), List(4062, 4340), List(1911, 3569), List(5044, 10853), List(4672, 8241), List(1839, 11048), List(4389, 5674), List(375, 627), List(5674, 8216), List(4604, 7548), List(1252, 8070), List(7532, 11394), List(4548, 9868), List(2143, 5797), List(7495, 11512), List(7099, 11512), List(865, 3645), List(183, 7223), List(150, 4831), List(1306, 4519), List(2328, 8179), List(2204, 5669), List(1335, 10175), List(492, 8732), List(8244, 10260), List(1945, 7660), List(6272, 10952), List(9161, 9208), List(4004, 8842), List(3063, 4612), List(298, 2450), List(9821, 10944), List(3221, 5952), List(3871, 9252), List(5027, 8940), List(3165, 8272), List(1565, 11576), List(7886, 8485), List(7534, 10285), List(7231, 10476), List(4862, 8314), List(3401, 7990), List(3109, 4206), List(10708, 11154), List(9218, 10092), List(5455, 8828), List(6169, 8171), List(1313, 10951), List(6669, 8494), List(3981, 7518), List(438, 4308), List(190, 10622), List(2146, 4509), List(647, 7865), List(6965, 8263), List(5220, 8180), List(901, 8913), List(2026, 9288), List(4791, 9952), List(278, 3272), List(4878, 7662), List(946, 11315), List(829, 4314), List(1800, 10638), List(4684, 8550), List(1845, 9657), List(821, 3672), List(5158, 7652), List(3153, 5952), List(8036, 11411), List(8911, 10857), List(5045, 8714), List(9372, 9754), List(4893, 9074), List(786, 1584), List(6608, 10446), List(8194, 11216), List(1897, 10197), List(8691, 9770), List(1869, 8149), List(1282, 4417), List(2299, 7733), List(2519, 2781), List(2204, 3709), List(5970, 9408), List(8063, 9420), List(370, 8472), List(4066, 8514), List(9451, 10205), List(3541, 5660), List(4731, 10594), List(1481, 10669), List(3733, 5830), List(5782, 6324), List(4655, 5122), List(3473, 4213), List(2788, 4110), List(1666, 3252), List(738, 10561), List(3814, 7889), List(856, 1168), List(1439, 8164), List(4768, 5938), List(5456, 9722), List(9292, 9744), List(763, 8524), List(7609, 11293), List(407, 783), List(4947, 11538), List(4233, 5779), List(6540, 7063), List(2218, 4115), List(6607, 8285), List(1397, 4905), List(9022, 10822), List(2647, 4228), List(2729, 5758), List(6034, 6144), List(3696, 8176), List(7094, 8753), List(3383, 3515), List(4434, 5661), List(5366, 6395), List(5350, 5862), List(8509, 11361), List(3686, 10871), List(914, 7538), List(1022, 8761), List(3816, 10163), List(1913, 3078), List(4965, 8680), List(2100, 2904), List(1416, 5655), List(9872, 11500), List(323, 1031), List(1493, 6841), List(5949, 6571), List(1002, 9987), List(2430, 7919), List(2208, 2622), List(1709, 5907), List(7689, 8939), List(996, 3002), List(4695, 6725), List(8683, 10551), List(7592, 11258), List(8803, 11407), List(2932, 6036), List(2199, 8171), List(3443, 4296), List(4325, 11329), List(4385, 11380), List(242, 4233), List(185, 7863), List(1613, 5795), List(7213, 9360), List(246, 11522), List(5588, 10133), List(5430, 7295), List(954, 10296), List(204, 4880), List(6525, 8959), List(3600, 4630), List(4461, 10062), List(3941, 8306), List(2635, 4887), List(4927, 5139), List(4746, 7013), List(1537, 2925), List(819, 6846), List(6481, 11289), List(903, 9203), List(784, 7791), List(4227, 7387), List(10023, 10864), List(2027, 10107), List(463, 1734), List(688, 4296), List(1546, 6801), List(1272, 7730), List(272, 8555), List(6655, 7096), List(2231, 10287), List(4046, 4693), List(5648, 10914), List(988, 11354), List(3476, 9266), List(8510, 9976), List(614, 8669), List(2471, 2577), List(7489, 7672), List(7733, 10284), List(2592, 4035), List(10852, 11446), List(1592, 9024), List(1166, 3897), List(903, 5015), List(606, 11410), List(8599, 8863), List(838, 3839), List(1343, 2254), List(1584, 5349), List(3366, 3779), List(436, 3270), List(1464, 10128), List(4291, 7506), List(3506, 9451), List(6842, 9150), List(18, 4450), List(2729, 9759), List(6681, 7512), List(2579, 6782), List(6676, 7168), List(4222, 8840), List(1293, 11185), List(5501, 10059), List(5344, 5911), List(6089, 6819), List(2042, 5796), List(3496, 9113), List(6801, 8745), List(5777, 9176), List(10777, 11056), List(421, 1807), List(2532, 3179), List(453, 10390), List(2993, 4328), List(4565, 5392), List(2597, 3574), List(6884, 7467), List(4588, 10479), List(189, 5621), List(2900, 4514), List(6050, 7241), List(8307, 8438), List(4356, 10129), List(1558, 5575), List(3120, 5951), List(1313, 9154), List(23, 606), List(1614, 5884), List(9401, 10631), List(2261, 10421), List(5251, 8729), List(1615, 9492), List(1866, 6859), List(1548, 1854), List(5467, 9293), List(4503, 7523), List(280, 10970), List(3131, 6490), List(75, 9814), List(3562, 8928), List(5776, 7769), List(676, 7937), List(6233, 9176), List(1751, 1809), List(10584, 10610), List(1005, 10098), List(10005, 10903), List(3987, 7764), List(7463, 8971), List(873, 11083), List(5004, 8047), List(6810, 11035), List(4369, 10690), List(427, 7209), List(9549, 9697), List(2947, 9540), List(1791, 3436), List(5154, 11374), List(2592, 4653), List(3588, 7092), List(647, 8646), List(1191, 9298), List(6980, 9352), List(6479, 11056), List(326, 9759), List(11341, 11474), List(3345, 6553), List(3211, 4109), List(2120, 8980), List(3374, 5039), List(728, 4289), List(881, 7537), List(1192, 9119), List(2369, 9684), List(8248, 8500), List(7169, 9224), List(1710, 4386), List(7625, 9275), List(7723, 10564), List(1534, 6604), List(9736, 11401), List(849, 5747), List(4142, 11034), List(3296, 3658), List(9770, 10231), List(2955, 3365), List(4581, 7698), List(2181, 3971), List(5174, 8212), List(1533, 8631), List(2925, 11070), List(2335, 3657), List(1160, 3919), List(10555, 10915), List(987, 11346), List(680, 9883), List(1824, 8056), List(4967, 7360), List(1173, 6783), List(10419, 11027), List(7002, 10400), List(1890, 3391), List(3662, 7549), List(1955, 3786), List(4875, 11154), List(2152, 4330), List(4341, 11220), List(9351, 11536), List(1159, 8955), List(3120, 9602), List(758, 2195), List(2053, 6953), List(9398, 10601), List(8775, 11376), List(3403, 3474), List(3958, 7668), List(4887, 8131), List(10618, 11213), List(1647, 8894), List(4954, 10107), List(55, 3391), List(1956, 3987), List(7993, 10559), List(4068, 10465), List(4790, 7417), List(1172, 3124), List(11218, 11393), List(4876, 7191), List(9208, 10827), List(2981, 10547), List(1427, 7026), List(9548, 10895), List(10379, 10823), List(5408, 9681), List(6733, 10898), List(4369, 9080), List(9317, 10770), List(1980, 4731), List(4588, 6909), List(204, 3083), List(9510, 11542), List(1666, 6261), List(9097, 9683), List(7641, 9703), List(131, 7708), List(4799, 4877), List(476, 11126), List(312, 3555), List(7777, 11469), List(776, 1969), List(3396, 5662), List(3050, 5025), List(4944, 10112), List(6222, 11483), List(2302, 10235), List(6777, 9261), List(6042, 9795), List(4383, 8732), List(3535, 6945), List(3010, 11261), List(8700, 11336), List(4314, 6683), List(1427, 9254), List(4221, 4240), List(9052, 9509), List(5504, 5955), List(6000, 6536), List(1262, 2212), List(384, 10382), List(1946, 11512), List(2135, 4995), List(1230, 2674), List(2940, 5954), List(6080, 7993), List(4019, 10148), List(1166, 11549), List(4927, 5570), List(2867, 10579), List(8570, 9361), List(1123, 7688), List(70, 3217), List(2494, 2834), List(7746, 11351), List(4635, 8552), List(8, 11384), List(3322, 8880), List(6563, 10971), List(5534, 10304), List(6444, 9559), List(6002, 6208), List(8990, 10859), List(644, 2176), List(6906, 11310), List(6185, 10796), List(5696, 8353), List(1114, 10204), List(1386, 8448), List(57, 8243), List(4840, 5170), List(5063, 5407), List(1916, 2197), List(9668, 10141), List(1879, 2315), List(3677, 5442), List(7613, 9078), List(1373, 4429), List(1430, 8346), List(2462, 5524), List(6610, 7353), List(3340, 9405), List(749, 8362), List(5855, 11392), List(1146, 5554), List(10519, 11071), List(1522, 8285), List(5685, 9668), List(9146, 9813), List(2823, 9825), List(772, 6252), List(5369, 11125), List(4531, 10026), List(5224, 8492), List(3292, 6331), List(1912, 6935), List(1476, 7536), List(1254, 8655), List(137, 2479), List(4592, 8400), List(763, 8768), List(446, 6617), List(3371, 4530), List(4150, 10684), List(253, 6976), List(2615, 5715), List(283, 1900), List(5704, 10418), List(8777, 11235), List(3546, 8476), List(8833, 11544), List(371, 8136), List(550, 9599), List(4249, 6906), List(3440, 4293), List(577, 5760), List(3145, 11515), List(10044, 10912), List(8239, 10024), List(2353, 10037), List(3633, 8071), List(3225, 4304), List(1980, 10960), List(1920, 4493), List(6333, 6805), List(4114, 6839), List(1101, 10991), List(4649, 8129), List(907, 1326), List(15, 9790), List(3430, 7338), List(9195, 9250), List(1805, 5859), List(5822, 10423), List(4860, 5316), List(3480, 10084), List(4507, 7672), List(5016, 5829), List(9298, 9378), List(1958, 6074), List(1827, 6557), List(5096, 11450), List(1491, 6608), List(1331, 9359), List(3201, 7636), List(1262, 11474), List(2353, 5849), List(7363, 9171), List(3103, 7101), List(5726, 10311), List(991, 9668), List(3976, 10638), List(4506, 6666), List(7577, 10820), List(5146, 7780), List(2252, 2764), List(5149, 7297), List(3258, 5137), List(9512, 10246), List(6892, 10717), List(6155, 10424), List(5615, 6538), List(1974, 6203), List(6856, 8027), List(4927, 5383), List(818, 9898), List(42, 4015), List(5766, 9336), List(226, 2789), List(8806, 11144), List(1086, 1203), List(4048, 8797), List(7059, 7982), List(8873, 9333), List(174, 5258), List(5039, 9357), List(593, 4653), List(3317, 4562), List(459, 8625), List(6128, 7823), List(1727, 2138), List(1135, 4478), List(1763, 1795), List(4345, 11420), List(2480, 7071), List(7922, 10050), List(1384, 5182), List(4092, 7564), List(3042, 6020), List(9726, 9959), List(3198, 6533), List(1877, 2082), List(894, 4766), List(4373, 10435), List(2594, 11522), List(6735, 11426), List(164, 11336), List(8321, 10698), List(6423, 10373), List(8295, 9477), List(1072, 7512), List(3871, 8504), List(623, 2990), List(442, 7116), List(6665, 9906), List(6238, 8341), List(1496, 6527), List(3123, 7298), List(2156, 8263), List(3020, 4167), List(5267, 5400), List(2149, 7092), List(2583, 4166), List(5674, 9696), List(2155, 11044), List(1527, 11475), List(6100, 11036), List(2640, 8083), List(217, 4904), List(408, 1466), List(9673, 9924), List(158, 1291), List(1431, 1564), List(4225, 9382), List(3358, 3381), List(7423, 8393), List(5403, 6385), List(4910, 6452), List(953, 1939), List(58, 306), List(5159, 7156), List(388, 2692), List(4842, 11421), List(2168, 10875), List(886, 10516), List(10230, 11131), List(765, 6025), List(3533, 8458), List(1534, 5075), List(5238, 8388), List(3250, 9301), List(131, 1723), List(1343, 4726), List(4744, 4820), List(8345, 11418), List(1626, 10676), List(4021, 8397), List(1244, 10382), List(3047, 7437), List(1526, 7062), List(5395, 9476), List(3547, 6262), List(3884, 4901), List(1839, 8690), List(1108, 1826), List(6240, 10241), List(2265, 4368), List(4837, 6889), List(232, 1374), List(2384, 4999), List(7518, 7825), List(2532, 5651), List(8046, 10196), List(1950, 2263), List(6060, 7772), List(4933, 10734), List(2031, 10738), List(9570, 11219), List(3775, 7186), List(1316, 2098), List(1689, 10974), List(249, 5111), List(1461, 8114), List(4606, 10497), List(4673, 5303), List(5289, 7521), List(2430, 11359), List(3672, 10067), List(1860, 2346), List(3327, 6622), List(2231, 11149), List(3721, 5795), List(4251, 8993), List(6907, 8179), List(1892, 4486), List(1484, 7135), List(1112, 10939), List(551, 9182), List(3373, 5462), List(1969, 5672), List(5558, 5817), List(1170, 8665), List(2013, 5944), List(1354, 11226), List(7259, 9011), List(1350, 7320), List(4999, 7516), List(2063, 2274), List(5547, 8287), List(5789, 7820), List(7471, 9052), List(2275, 3096), List(501, 4527), List(5888, 7799), List(2273, 7187), List(2894, 5585), List(1999, 8116), List(5421, 9087), List(1491, 8649), List(6874, 8015), List(6565, 10643), List(6472, 7446), List(6066, 6758), List(2783, 10857), List(1057, 2880), List(2077, 3461), List(164, 1350), List(241, 4014), List(5518, 8646), List(2381, 3872), List(2157, 4918), List(1133, 4595), List(3903, 7855), List(4147, 10467), List(5370, 11377), List(10521, 11174), List(5077, 7368), List(4521, 10119), List(3936, 7214), List(4672, 9534), List(10523, 11220), List(6538, 11075), List(1378, 7782), List(4366, 9427), List(55, 252), List(2114, 7850), List(2208, 7485), List(4758, 6275), List(6382, 7529), List(4489, 7548), List(7040, 9192), List(1983, 8306), List(8115, 9480), List(9245, 10199), List(59, 6760), List(4200, 10828), List(6991, 8549), List(6688, 8740), List(898, 10713), List(2548, 7526), List(2753, 7958), List(2983, 10864), List(4845, 5870), List(9694, 10964), List(1346, 1454), List(5676, 8427), List(1295, 4872), List(5997, 7287), List(1878, 11114), List(104, 6129), List(9, 2859), List(1161, 11473), List(6106, 7230), List(9745, 10148), List(6133, 9053), List(1967, 6618), List(10833, 11395), List(4520, 9089), List(2092, 5566), List(3516, 6008), List(6661, 8391), List(6687, 7360), List(10391, 11427), List(3610, 9807), List(2454, 3703), List(10045, 10790), List(1826, 4134), List(1526, 10258), List(6037, 9695), List(6159, 10624), List(610, 10030), List(2816, 8256), List(8961, 9635), List(5962, 7077), List(8427, 9701), List(767, 11145), List(734, 8753), List(8172, 8428), List(8270, 9717), List(4710, 11064), List(1890, 2025), List(7588, 9131), List(420, 10283), List(2041, 2194), List(363, 3333), List(635, 1577), List(3408, 8518), List(6949, 7868), List(3618, 6261), List(6534, 9346), List(756, 6418), List(5417, 6580), List(697, 9221), List(1750, 8030), List(5322, 9726), List(8374, 8912), List(7997, 8962), List(1280, 2631), List(3515, 8765), List(8186, 9615), List(1364, 1578), List(3100, 3827), List(522, 9405), List(3946, 4787), List(1399, 10432), List(153, 5566), List(14, 2024), List(8453, 10898), List(708, 9760), List(4603, 10389), List(1211, 7348), List(5968, 10224), List(3938, 7528), List(3198, 6964), List(7859, 9378), List(8259, 10251), List(6829, 9240), List(2510, 6563), List(5672, 10081), List(7454, 8511), List(1568, 8524), List(6910, 7135), List(408, 4930), List(3276, 8725), List(1091, 2708), List(2646, 8329), List(2346, 8037), List(622, 9585), List(2771, 7277), List(3296, 3715), List(3834, 6774), List(1996, 10664), List(8689, 9431), List(4857, 6872), List(10612, 11506), List(1374, 7877), List(7305, 11047), List(3444, 9248), List(190, 10305), List(990, 10920), List(2726, 6753), List(391, 9837), List(50, 9544), List(179, 5982), List(3656, 10824), List(175, 8492), List(980, 7199), List(455, 4345), List(5677, 9270), List(542, 557), List(1608, 3735), List(3958, 7375), List(3061, 9079), List(7173, 8245), List(2803, 8289), List(1318, 3407), List(6173, 6818), List(2687, 4142), List(2180, 8283), List(3455, 10137), List(2092, 6184), List(3823, 8089), List(3987, 6211), List(4412, 5451), List(11113, 11249), List(220, 8211), List(2323, 5558), List(8623, 11012), List(339, 3207), List(373, 2037), List(894, 3237), List(6931, 7557), List(4042, 10055), List(3479, 4465), List(9554, 11521), List(7393, 9308), List(827, 5398), List(9450, 10417), List(5360, 6314), List(4088, 8895), List(4002, 7623), List(7763, 8060), List(2758, 5082), List(1978, 8125), List(3222, 3496), List(1099, 4773), List(5422, 10575), List(5355, 9353), List(1819, 7314), List(5050, 8717), List(330, 11358), List(664, 4064), List(1407, 8309), List(1443, 1550), List(7537, 8656), List(7377, 11407), List(1926, 10594), List(2335, 5137), List(4298, 4359), List(7630, 8066), List(994, 3417), List(2616, 8008), List(1654, 5153), List(7256, 9545), List(6318, 11248), List(10050, 10947), List(26, 10573), List(4107, 10426), List(2083, 4512), List(6527, 9143), List(3786, 10785), List(928, 6180), List(272, 399), List(7429, 11166), List(509, 6004), List(4251, 6391), List(7895, 9653), List(739, 2494), List(6150, 10324), List(2750, 6668), List(890, 2663), List(7390, 8205), List(3185, 6596), List(1199, 3418), List(43, 1478), List(2004, 2125), List(316, 2576), List(448, 9111), List(4077, 7177), List(4214, 9892), List(854, 4137), List(2427, 4702), List(690, 8644), List(5449, 8183), List(4172, 9666), List(163, 5717), List(1341, 2720), List(2215, 3476), List(5669, 6614), List(3487, 6530), List(6468, 7758), List(3641, 3964), List(7524, 10248), List(430, 3967), List(9573, 10742), List(2166, 5462), List(526, 10091), List(2021, 2829), List(951, 2161), List(8054, 9659), List(298, 4979), List(14, 5220), List(4002, 9046), List(1194, 5302), List(6018, 9400), List(2257, 2547), List(49, 1242), List(3598, 7650), List(785, 3562), List(3992, 6823), List(2374, 6515), List(3489, 6202), List(8320, 11471), List(1345, 2438), List(6360, 9514), List(2005, 10590), List(2031, 9559), List(2554, 11586), List(4806, 6747), List(4296, 11371), List(9153, 10691), List(8403, 10193), List(8530, 11466), List(1801, 3620), List(4, 4101), List(1874, 8794), List(962, 3050), List(215, 8485), List(4819, 10365), List(1793, 2978), List(836, 4631), List(3759, 3969), List(3915, 8646), List(3665, 7717), List(4284, 10206), List(8273, 10470), List(2069, 4724), List(2812, 8969), List(9454, 11154), List(289, 6340), List(4370, 6193), List(8175, 10312), List(3965, 8359), List(455, 1125), List(6200, 8077), List(6821, 10639), List(11313, 11524), List(971, 6145), List(3099, 5212), List(2621, 2958), List(1875, 4831), List(2090, 5951), List(3427, 4519), List(6924, 10737), List(5336, 9140), List(8192, 11420), List(928, 6448), List(1122, 9697), List(1720, 4139), List(785, 9523), List(5190, 7810), List(3729, 7486), List(6346, 7498), List(7562, 7991), List(1172, 6027), List(3670, 3873), List(3826, 8550), List(8679, 11134), List(584, 2824), List(9489, 10185), List(143, 2327), List(9475, 11226), List(2787, 4135), List(3246, 7867), List(1062, 11120), List(2378, 8811), List(5519, 7288), List(6575, 9778), List(5675, 7801), List(3330, 10197), List(6, 5597), List(847, 6967), List(4704, 11276), List(4976, 9520), List(3634, 4192), List(6869, 8720), List(2880, 5423), List(9701, 9825), List(5902, 6652), List(1702, 5387), List(184, 10945), List(1726, 9945), List(5650, 11312), List(4043, 5501), List(115, 6644), List(2763, 8221), List(3007, 10833), List(8361, 10959), List(395, 2497), List(6453, 6940), List(7848, 8896), List(4429, 8196), List(74, 9272), List(8563, 11093), List(1999, 8010), List(853, 6758), List(4800, 10583), List(2061, 8888), List(3709, 9038), List(8196, 9579), List(596, 5412), List(2901, 10033), List(5767, 6585), List(7041, 10466), List(1838, 3339), List(3672, 6123), List(4855, 10640), List(366, 8518), List(4010, 6118), List(10649, 11038), List(2332, 8011), List(5969, 10102), List(2762, 6841), List(5597, 8244), List(578, 3678), List(3203, 3551), List(1637, 5685), List(6212, 6827), List(3755, 8228), List(1427, 1903), List(1568, 7800), List(766, 6358), List(5031, 8772), List(857, 6476), List(46, 9452), List(7957, 9539), List(6823, 7920), List(10069, 10355), List(3130, 5143), List(5019, 10640), List(607, 8930), List(2159, 4454), List(1407, 9545), List(1501, 6928), List(5704, 7710), List(2707, 5979), List(4869, 11046), List(4704, 6283), List(91, 8821), List(4549, 9378), List(6562, 9461), List(745, 943), List(2925, 7370), List(27, 4864), List(5290, 5626), List(5412, 7309), List(1124, 10361), List(5071, 11180), List(6382, 7773), List(3582, 8808), List(9621, 9791), List(2696, 4285), List(2787, 4403), List(1986, 5815), List(5781, 10000), List(5313, 7680), List(6894, 8860), List(6675, 7244), List(2547, 7545), List(3132, 10450), List(1391, 1441), List(3099, 8058), List(2851, 8710), List(358, 4038), List(6858, 9580), List(5614, 7793), List(5144, 5400), List(825, 6133), List(3743, 9291), List(5341, 5914), List(3904, 10148), List(1540, 8330), List(1695, 5989), List(2094, 3254), List(1530, 11025), List(250, 3165), List(1535, 4953), List(2343, 3177), List(6314, 11560), List(3981, 9055), List(3197, 8192), List(5000, 5247), List(6099, 10817), List(9545, 9930), List(2452, 10667), List(4504, 11432), List(5161, 9487), List(54, 9238), List(3910, 4277), List(3536, 8008), List(4549, 7418), List(3339, 10877), List(6487, 10525), List(2991, 7161), List(3648, 5216), List(3861, 6263), List(4762, 11094), List(2398, 2860), List(2771, 8326), List(431, 4650), List(8739, 10597), List(3207, 11108), List(924, 1550), List(3234, 6515), List(1303, 10214), List(6530, 9067), List(6101, 6675), List(5562, 5643), List(3881, 8019), List(639, 7955), List(4247, 5144), List(2292, 8449), List(4783, 9288), List(8754, 11255), List(548, 8968), List(4865, 7408), List(8108, 10326), List(3942, 7891), List(632, 1499), List(100, 3890), List(141, 3891), List(7517, 9858), List(3059, 7049), List(380, 6159), List(1541, 6945), List(1658, 7530), List(4856, 6541), List(8438, 9679), List(253, 8269), List(1898, 3984), List(5509, 5608), List(1687, 2983), List(4550, 6434), List(10271, 11457), List(2016, 5144), List(7900, 8468), List(1398, 6263), List(529, 3599), List(3603, 7270), List(2858, 7116), List(3942, 6736), List(2230, 2629), List(10380, 11400), List(5151, 10222), List(1398, 9646), List(2007, 10693), List(1821, 8059), List(4491, 11115), List(1655, 10241), List(2693, 11371), List(6430, 11414), List(7077, 8781), List(702, 1433), List(1220, 3116), List(7233, 9294), List(1682, 11283), List(1773, 4985), List(465, 11319), List(6659, 9207), List(4854, 9073), List(8534, 8582), List(3573, 7404), List(1706, 6392), List(4290, 10428), List(3333, 7917), List(5045, 5608), List(3569, 4252), List(3360, 4078), List(1354, 5940), List(5073, 11039), List(3069, 3148), List(1422, 10016), List(8855, 10101), List(3313, 3508), List(4842, 7908), List(554, 10960), List(401, 3548), List(4656, 5274), List(6712, 6939), List(5313, 7493), List(482, 2224), List(2424, 9237), List(239, 3220), List(6436, 11205), List(3253, 8338), List(6498, 7919), List(887, 3441), List(4818, 6733), List(5924, 8586), List(884, 9559), List(7303, 10009), List(10818, 11171), List(5240, 11337), List(3657, 3668), List(4242, 6573), List(4646, 11352), List(7672, 11569), List(7318, 11071), List(623, 8471), List(2653, 11167), List(1536, 10653), List(2395, 6213), List(9802, 10739), List(4855, 8493), List(4773, 9592), List(2187, 8893), List(7820, 9188), List(158, 9805), List(991, 3390), List(87, 11093), List(2587, 3350), List(1962, 3298), List(9269, 10626), List(4601, 7795), List(3381, 3396), List(3883, 4546), List(4779, 9787), List(2291, 5459), List(4285, 8498), List(1210, 5356), List(5067, 9665), List(4069, 11317), List(3221, 9530), List(3627, 3802), List(4155, 6173), List(1039, 9446), List(1980, 7260), List(6328, 9177), List(700, 2810), List(2754, 10818), List(853, 3806), List(1598, 4714), List(3376, 9818), List(117, 6367), List(1163, 8169), List(3253, 10916), List(1039, 6413), List(5111, 8432), List(4550, 10085), List(2776, 5100), List(2283, 11583), List(8071, 8783), List(1774, 2846), List(6011, 7376), List(5893, 8818), List(1781, 7400), List(9809, 10324), List(8276, 8434), List(6371, 11102), List(1772, 3150), List(2269, 3956), List(555, 5438), List(9610, 10114), List(5625, 6559), List(4754, 7232), List(8680, 10180), List(2544, 9264), List(5337, 6277), List(10153, 10514), List(102, 10946), List(4424, 7478), List(6459, 10518), List(8043, 8963), List(6518, 11098), List(3705, 11174), List(5361, 11185), List(1521, 8011), List(3761, 8073), List(2773, 10413), List(8747, 10247), List(6186, 11298), List(3488, 3942), List(5072, 8049), List(3575, 8068), List(10397, 10443), List(2324, 2858), List(5847, 11051), List(1112, 9654), List(5444, 6874), List(729, 9889), List(4753, 6956), List(3502, 10414), List(4626, 10564), List(356, 1390), List(6988, 9303), List(4438, 11267), List(1840, 9053), List(697, 7318), List(1313, 9536), List(6576, 10298), List(416, 5578), List(10586, 11439), List(9779, 10407), List(823, 9120), List(6014, 8316), List(283, 5234), List(4801, 5842), List(4553, 5740), List(3822, 5292), List(432, 8740), List(6530, 10303), List(750, 11466), List(9461, 11414), List(4198, 4236), List(2988, 8449), List(1603, 2293), List(2420, 2515), List(1518, 10291), List(6308, 8389), List(2739, 10374), List(8209, 8985), List(4061, 7910), List(365, 1452), List(57, 3551), List(977, 2016), List(6054, 10724), List(6584, 7506), List(5493, 5961), List(9598, 10372), List(8882, 10956), List(1198, 1426), List(2495, 6257), List(3467, 4138), List(1531, 6739), List(2938, 10210), List(6678, 9770), List(4550, 10703), List(218, 651), List(572, 1149), List(2188, 2515), List(5109, 9354), List(5756, 6721), List(1256, 11580), List(3538, 4728), List(10337, 11061), List(5511, 6890), List(4518, 8132), List(3021, 5899), List(3014, 4728), List(5567, 9451), List(4693, 6443), List(5188, 10586), List(9152, 9854), List(4472, 4754), List(360, 3336), List(2820, 5616), List(10729, 11292), List(7365, 9545), List(300, 2504), List(7175, 9421), List(2636, 6438), List(4714, 7670), List(1942, 10753), List(7366, 10120), List(8009, 9997), List(8107, 11286), List(2350, 2819), List(6830, 7107), List(3769, 9333), List(2289, 4795), List(4763, 10945), List(3051, 6838), List(4299, 9498), List(1966, 2829), List(8029, 8370), List(3772, 10735), List(1837, 4112), List(2769, 10508), List(2117, 6381), List(4634, 8441), List(1303, 3424), List(6216, 10223), List(454, 8582), List(4528, 5012), List(240, 7310), List(1914, 2265), List(6979, 9458), List(5553, 10818), List(6546, 9576), List(7384, 10675), List(5833, 7425), List(8508, 10825), List(5767, 9057), List(6460, 6769), List(6629, 8298), List(1441, 8619), List(3332, 8527), List(2712, 6567), List(3018, 10057), List(2961, 9523), List(3049, 5206), List(2708, 9077), List(7157, 7636), List(1131, 11022), List(8335, 11055), List(7975, 10712), List(5281, 8790), List(7212, 10726), List(336, 10000), List(2891, 9134), List(1703, 3492), List(1073, 9512), List(2513, 2543), List(5956, 8555), List(1200, 9287), List(2633, 7563), List(8111, 9445), List(1439, 5139), List(1879, 11073), List(6435, 8001), List(3309, 9832), List(9200, 10163), List(1251, 5088), List(2061, 10555), List(2282, 9211), List(4245, 10685), List(8914, 10708), List(6486, 7185), List(1531, 4324), List(1658, 6351), List(4454, 7826), List(192, 5683), List(2093, 10443), List(6953, 10034), List(723, 5319), List(6258, 8489), List(6340, 10773), List(8057, 8808), List(1775, 3903), List(6624, 7499), List(2668, 8092), List(1644, 8523), List(434, 5566), List(231, 10899), List(5628, 8443), List(5339, 8340), List(485, 2121), List(3033, 10664), List(5428, 7631), List(5147, 11553), List(5558, 6923), List(4054, 9935), List(4188, 5963), List(9566, 11401), List(5524, 10722), List(7350, 8700), List(497, 5514), List(4699, 10989), List(7135, 7957), List(6259, 11292), List(7276, 7438), List(655, 3067), List(4220, 4346), List(2265, 6897), List(6158, 7453), List(365, 3493), List(303, 2615), List(5807, 6472), List(1418, 2302), List(1982, 4330), List(8680, 10611), List(1990, 8355), List(10161, 11587), List(680, 8200), List(5582, 7293), List(1443, 6681), List(9564, 10550), List(8325, 9107), List(726, 7040), List(9027, 9564), List(1940, 4454), List(4651, 10517), List(6172, 10892), List(1598, 11106), List(2990, 8627), List(2453, 9176), List(1069, 10762), List(374, 3555), List(2712, 4152), List(1533, 9176), List(4350, 5866), List(2116, 2586), List(2207, 9120), List(9772, 10822), List(6752, 7387), List(8899, 10668), List(4345, 8151), List(2297, 4849), List(8857, 10442), List(1887, 6671), List(3349, 3433), List(7490, 7501), List(10356, 10469), List(169, 1995), List(5345, 10682), List(2343, 3689), List(6233, 11144), List(3998, 11426), List(4488, 4645), List(4097, 4989), List(1748, 9895), List(8348, 9225), List(1039, 5234), List(3408, 7396), List(4676, 7325), List(5457, 7890), List(7162, 10826), List(937, 11373), List(1960, 10717), List(8159, 9703), List(781, 10079), List(2250, 8012), List(3800, 6873), List(5481, 9415), List(2619, 3156), List(284, 6240), List(6321, 10560), List(58, 9869), List(7429, 9076), List(7023, 7634), List(2269, 2777), List(6775, 7532), List(6529, 11263), List(1016, 3156), List(2974, 4286), List(1081, 3551), List(3887, 6468), List(3252, 5728), List(588, 10034), List(5490, 9127), List(3814, 4677), List(3372, 4332), List(3853, 11021), List(5744, 10175), List(6826, 7470), List(3618, 10400), List(2816, 9712), List(318, 532), List(2379, 2541), List(7019, 10494), List(107, 10111), List(314, 1544), List(6332, 7312), List(4401, 11011), List(7352, 10145), List(8410, 9298), List(1586, 4598), List(976, 9742), List(2091, 9429), List(185, 2073), List(1062, 2346), List(509, 11030), List(869, 4957), List(8926, 11285), List(2026, 7499), List(438, 5902), List(557, 898), List(6317, 8882), List(1400, 2341), List(428, 5214), List(8053, 11131), List(7181, 11202), List(1900, 2664), List(8436, 10869), List(372, 1118), List(1397, 8459), List(8776, 10937), List(8060, 11521), List(2852, 10466), List(6400, 7604), List(796, 6549), List(2425, 8901), List(5334, 7809), List(1796, 11359), List(7057, 9042), List(1988, 11529), List(4521, 8460), List(1997, 2223), List(1661, 8690), List(3725, 10970), List(6177, 8471), List(3190, 7428), List(6700, 8246), List(6166, 7558), List(3464, 9128), List(3904, 9400), List(6235, 8826), List(3701, 9071), List(5982, 9134), List(6264, 8066), List(230, 1011), List(6358, 11111), List(1874, 10087), List(3330, 3651), List(2239, 4358), List(2082, 10790), List(8348, 10998), List(6158, 10299), List(3795, 11335), List(1388, 6437), List(467, 9999), List(5653, 8851), List(1047, 6144), List(278, 678), List(2234, 7397), List(7774, 10911), List(3073, 11350), List(9198, 11353), List(19, 2669), List(48, 7571), List(3950, 5961), List(10450, 11503), List(3722, 6511), List(2192, 10554), List(8083, 9387), List(5127, 9909), List(2856, 4118), List(5495, 7861), List(2749, 9913), List(942, 8952), List(3569, 9652), List(847, 5682), List(1316, 10856), List(2522, 3491), List(1617, 5334), List(4390, 5105), List(971, 4405), List(4552, 9570), List(4633, 8246), List(2298, 11330), List(556, 11518), List(4293, 10807), List(7937, 8407), List(5530, 9925), List(1682, 6079), List(1455, 6854), List(3667, 4868), List(7490, 10347), List(1741, 6659), List(5003, 9627), List(1261, 2824), List(5379, 5942), List(3809, 10586), List(507, 8219), List(7616, 9116), List(5770, 8981), List(8249, 9059), List(8376, 10332), List(3097, 9791), List(2715, 8743), List(1724, 5150), List(2428, 3051), List(9977, 10636), List(1010, 5807), List(4394, 8206), List(8776, 11205), List(6453, 9388), List(1837, 2583), List(1055, 8209), List(6815, 9777), List(7153, 9772), List(4197, 10294), List(1561, 3816), List(5853, 8053), List(8678, 11020), List(712, 2558), List(3757, 6989), List(3413, 7179), List(8865, 10846), List(5537, 9510), List(679, 9965), List(4099, 7857), List(166, 3738), List(50, 6007), List(4460, 4638), List(2290, 10233), List(1251, 4714), List(7756, 11354), List(1663, 7102), List(3373, 10382), List(4586, 10604), List(9347, 10216), List(1007, 7737), List(7941, 10353), List(7512, 7961), List(3778, 5183), List(6383, 10096), List(8690, 11380), List(339, 2353), List(1849, 9709), List(1627, 4412), List(3641, 8103), List(2146, 2533), List(8221, 9589), List(3415, 6070), List(5378, 7544), List(1618, 3545), List(680, 5248), List(6184, 9105), List(248, 9755), List(246, 8928), List(4594, 6681), List(9117, 11043), List(2703, 4521), List(304, 5900), List(3690, 11378), List(710, 926), List(3137, 4224), List(2194, 5583), List(5865, 7258), List(3007, 4905), List(1232, 6111), List(6395, 7423), List(3494, 7652), List(1725, 9427), List(4526, 5584), List(3003, 4382), List(1038, 6245), List(7938, 8496), List(276, 2697), List(10246, 11136), List(2108, 5408), List(7195, 8388), List(5636, 10939), List(4098, 8705), List(5882, 7962), List(2805, 10409), List(1432, 6522), List(7533, 7629), List(797, 5028), List(2080, 6743), List(2606, 6035), List(6897, 7418), List(6608, 7315), List(2265, 3490), List(5023, 5235), List(2545, 5759), List(5210, 11477), List(7882, 11196), List(3217, 11292), List(1111, 3848), List(8356, 10298), List(3300, 10014), List(9571, 10566), List(1073, 4495), List(479, 10172), List(8414, 10653), List(288, 778), List(5952, 6048), List(191, 7261), List(1182, 4438), List(4795, 6135), List(505, 1944), List(7939, 11299), List(1181, 4967), List(8242, 8856), List(6067, 9189), List(1836, 6359), List(1646, 6235), List(5932, 6520), List(1587, 2622), List(8966, 11516), List(5281, 6001), List(745, 8197), List(9040, 9775), List(2202, 5369), List(5672, 9040), List(9135, 10012), List(2626, 6636), List(322, 4869), List(1411, 9751), List(2192, 3146), List(827, 3284), List(5765, 8450), List(2573, 6221), List(4304, 8126), List(1102, 5209), List(2313, 5358), List(5616, 8327), List(626, 2247), List(3611, 7381), List(3557, 10528), List(2499, 4959), List(3514, 7448), List(6731, 11397), List(8438, 8744), List(2022, 5559), List(505, 7555), List(8557, 9375), List(7595, 10684), List(2641, 10677), List(4294, 11171), List(4382, 6854), List(1181, 7545), List(6090, 7055), List(9636, 9782), List(8896, 9972), List(1294, 10640), List(2345, 6370), List(3716, 10184), List(1536, 3757), List(2064, 10292), List(3786, 8671), List(512, 4188), List(5498, 6362), List(8887, 11357), List(195, 2037), List(1905, 9481), List(265, 1278), List(4024, 11468), List(2157, 10456), List(6799, 8656), List(5488, 9057), List(1716, 5795), List(5021, 10345), List(8032, 9530), List(7107, 9940), List(1747, 9245), List(441, 5826), List(10525, 11169), List(10585, 11220), List(4601, 10698), List(4945, 10508), List(1378, 6904), List(7530, 10982), List(3229, 6659), List(615, 11082), List(1119, 1725), List(2449, 9702), List(6869, 9021), List(1870, 9995), List(2791, 6433), List(5466, 6423), List(175, 10029), List(1706, 2424), List(3225, 6890), List(8510, 11383), List(4938, 7435), List(9255, 9285), List(5559, 9997), List(4776, 8605), List(2569, 5273), List(6121, 11198), List(6897, 11419), List(7772, 10865), List(7423, 10711), List(1979, 6905), List(6743, 10952), List(2182, 7264), List(8348, 10274), List(1557, 10595), List(587, 1463), List(1192, 9908), List(4892, 10069), List(5286, 9996), List(1024, 11263), List(532, 5139), List(8098, 9695), List(6350, 10095), List(2324, 3533), List(5190, 6501), List(1394, 10015), List(592, 8573), List(10050, 10256), List(296, 7299), List(2610, 3338), List(270, 6078), List(8419, 10460), List(4811, 6855), List(3061, 6428), List(5683, 6784), List(1786, 3076), List(4368, 6285), List(538, 3799), List(3865, 5664), List(3560, 11444), List(3627, 6250), List(982, 11360), List(7642, 7735), List(2506, 9000), List(10123, 10892), List(4299, 5367), List(2284, 3703), List(1626, 5423), List(1184, 5078), List(2462, 5695), List(2343, 4283), List(4698, 8267), List(3335, 9232), List(7036, 9618), List(4018, 8508), List(4006, 11157), List(251, 10508), List(4508, 5891), List(5294, 6800), List(6438, 11389), List(1899, 10658), List(4315, 6250), List(3542, 9710), List(6682, 7585), List(2081, 3724), List(5224, 5280), List(1769, 8333), List(1757, 6818), List(5531, 9372), List(455, 10688), List(5806, 11297), List(256, 4062), List(1317, 6896), List(1530, 7943), List(3338, 5342), List(4487, 10275), List(5385, 5763), List(7466, 10676), List(403, 10124), List(6530, 6790), List(4291, 10336), List(10330, 10565), List(7467, 7868), List(192, 9123), List(1086, 6367), List(1668, 3339), List(2051, 9493), List(4544, 6995), List(3445, 7841), List(1180, 10166), List(8210, 8326), List(6925, 10702), List(2754, 7923), List(4682, 10342), List(5308, 9084), List(5567, 10476), List(5379, 11179), List(3103, 5044), List(761, 11121), List(2631, 5988), List(602, 6146), List(5896, 6221), List(230, 4288), List(6449, 8090), List(10094, 10796), List(9898, 10884), List(6756, 8018), List(1020, 5346), List(502, 3663), List(1334, 6445), List(717, 11172), List(7243, 11519), List(4036, 8258), List(4624, 8428), List(711, 10603), List(5974, 11365), List(6786, 7079), List(5320, 6411), List(4881, 9747), List(2285, 8360), List(6185, 11585), List(5647, 8526), List(2883, 9218), List(2970, 5430), List(1755, 8545), List(5870, 7228), List(3038, 3844), List(6207, 10785), List(4126, 4337), List(41, 6994), List(6080, 7977), List(787, 8504), List(2838, 5661), List(8880, 10325), List(7445, 11222), List(8873, 9154), List(340, 11198), List(5534, 6905), List(1802, 7960), List(4262, 9486), List(5038, 9707), List(1583, 8596), List(9048, 10848), List(2515, 7078), List(4471, 7381), List(1893, 10707), List(685, 4413), List(6024, 9923), List(4195, 5231), List(5967, 9389), List(4260, 6380), List(20, 11378), List(6524, 7994), List(4636, 8357), List(1238, 6282), List(6083, 10503), List(6556, 6751), List(7241, 10237), List(71, 11316), List(3617, 7627), List(4651, 6386), List(4238, 10189), List(3035, 8403), List(255, 1045), List(1786, 6272), List(4126, 9948), List(1126, 7165), List(2466, 9414), List(1831, 8674), List(3737, 9614), List(2961, 2977), List(2049, 3649), List(3852, 7120), List(4048, 4780), List(7279, 8435), List(2083, 2479), List(2833, 7895), List(2695, 7961), List(3457, 4312), List(1738, 9614), List(5685, 6269), List(10459, 11004), List(122, 5215), List(5781, 6731), List(4576, 10534), List(1739, 6052), List(1147, 1976), List(4409, 4944), List(5284, 9308), List(8854, 10177), List(4502, 11524), List(5247, 9426), List(4218, 5349), List(11, 7077), List(1667, 11252), List(7083, 8092), List(512, 8002), List(2901, 11570), List(10678, 10711), List(4482, 9744), List(6131, 8584), List(7368, 7702), List(5506, 7034), List(4456, 7742), List(6414, 8872), List(318, 939), List(4485, 6982), List(366, 10055), List(1744, 2208), List(7812, 8093), List(176, 3515), List(4200, 6998), List(2832, 9871), List(6533, 7251), List(1495, 4887), List(7185, 11378), List(577, 2361), List(364, 4697), List(8982, 10870), List(2072, 4898), List(945, 3696), List(3661, 3687), List(4626, 6059), List(2625, 8265), List(3812, 9518), List(6587, 10870), List(8161, 8627), List(5425, 6449), List(8627, 9366), List(413, 3054), List(1008, 11565), List(7675, 11363), List(1382, 6299), List(506, 7382), List(2032, 8101), List(5953, 9951), List(4487, 9283), List(4645, 10623), List(2083, 10318), List(3676, 10761), List(4359, 10037), List(3079, 6341), List(1957, 5483), List(2984, 9487), List(6968, 9407), List(1209, 10693), List(6503, 11522), List(6086, 11419), List(1855, 8589), List(3446, 8205), List(3475, 8943), List(7805, 9500), List(9357, 9942), List(7110, 8709), List(5711, 9263), List(2108, 6002), List(8102, 9494), List(2283, 4313), List(6835, 10167), List(5245, 6989), List(849, 5812), List(2463, 2968), List(4214, 6249), List(2001, 2348), List(1660, 8471), List(6510, 7374), List(10159, 10980), List(6177, 11106), List(6110, 9884), List(2376, 7106), List(1182, 4682), List(443, 7726), List(1742, 9220), List(2924, 7877), List(5513, 8847), List(5224, 8744), List(626, 10062), List(1989, 7599), List(5072, 8350), List(1738, 3816), List(9048, 10661), List(7611, 8479), List(5632, 7226), List(2075, 5838), List(3448, 4063), List(3662, 7964), List(6864, 10881), List(3932, 9545), List(1796, 9806), List(1788, 3529), List(4798, 5495), List(2962, 3796), List(785, 9718), List(2965, 3313), List(979, 10715), List(9881, 10985), List(9339, 10436), List(3864, 5065), List(6283, 7344), List(1224, 10519), List(1436, 1542), List(6666, 10492), List(38, 5704), List(3209, 7056), List(2394, 11044), List(2263, 7363), List(6502, 8556), List(4297, 10932), List(858, 1686), List(954, 8564), List(4572, 6441), List(1511, 9421), List(955, 11418), List(666, 4899), List(3121, 6835), List(3628, 8329), List(4130, 9479), List(4990, 7893), List(1920, 11511), List(4059, 4351), List(2314, 4268), List(3157, 5711), List(939, 9380), List(5108, 9834), List(2592, 9874), List(10472, 10648), List(8631, 10857), List(384, 8569), List(7748, 10015), List(7, 6367), List(6297, 11133), List(2892, 7133), List(3024, 3088), List(2580, 5326), List(501, 6121), List(3106, 4618), List(5141, 8412), List(1490, 7389), List(6728, 10538), List(9118, 11325), List(3664, 6831), List(5935, 6206), List(8579, 10293), List(2884, 3458), List(4850, 8613), List(2508, 10526), List(1331, 9961), List(1417, 2565), List(574, 1122), List(6404, 8347), List(8706, 9287), List(5621, 6955), List(6247, 9861), List(8513, 8892), List(452, 3576), List(6639, 6709), List(2783, 9418), List(2571, 11225), List(3927, 7591), List(8018, 8132), List(2758, 11051), List(1344, 6409), List(4515, 7761), List(1029, 5085), List(10003, 11085), List(1784, 10845), List(6071, 10574), List(8099, 10191), List(1998, 2668), List(9432, 11269), List(6906, 11375), List(29, 2877), List(4803, 7612), List(1455, 4146), List(4080, 11189), List(2117, 3299), List(1681, 10316), List(5848, 9189), List(5626, 10308), List(10853, 11413), List(8119, 8564), List(2257, 2555), List(6470, 8943), List(1210, 7698), List(9823, 11275), List(8928, 9642), List(3918, 7074), List(8181, 8661), List(304, 11568), List(182, 4223), List(273, 3587), List(5780, 6961), List(6766, 8712), List(3562, 4968), List(482, 7144), List(4747, 9558), List(4064, 10282), List(9265, 10166), List(6423, 7592), List(2035, 10440), List(7396, 8327), List(7332, 10786), List(2782, 9142), List(2001, 2161), List(4707, 9378), List(2899, 3311), List(1063, 3864), List(1164, 3916), List(4889, 8860), List(2380, 10825), List(3803, 8413), List(902, 8642), List(4494, 5298), List(5261, 7685), List(409, 2293), List(7007, 10622), List(1900, 10373), List(2982, 7668), List(900, 8946), List(1084, 5091), List(4953, 6751), List(53, 3597), List(3814, 8198), List(4352, 11257), List(390, 738), List(8142, 8682), List(993, 1940), List(9076, 9489), List(4938, 9102), List(5834, 9425), List(757, 5635), List(5488, 6536), List(4940, 9148), List(3216, 9942), List(3971, 9286), List(4645, 8476), List(882, 7212), List(3375, 5468), List(572, 2068), List(694, 1499), List(2022, 2233), List(4769, 9451), List(72, 5128), List(8318, 10197), List(529, 8787), List(746, 908), List(3638, 9261), List(3674, 4754), List(85, 5363), List(4489, 10565), List(2622, 3137), List(7597, 10814), List(5190, 8168), List(4849, 7875), List(5935, 6824), List(3295, 11524), List(1676, 8362), List(7330, 8780), List(2952, 8152), List(2740, 10713), List(1539, 11282), List(985, 3526), List(4997, 5494), List(2256, 7136), List(6676, 7209), List(7118, 7554), List(6548, 7963), List(1634, 5103), List(1332, 10400), List(3433, 6920), List(267, 4414), List(547, 6683), List(3092, 4375), List(9189, 9500), List(6608, 9145), List(4485, 6258), List(758, 4651), List(1773, 7140), List(5855, 9847), List(1748, 8773), List(4549, 11346), List(7375, 10751), List(7036, 11285), List(8247, 10680), List(4973, 6197), List(8713, 9921), List(270, 3557), List(2664, 7469), List(8512, 8884), List(7674, 7785), List(9355, 10327), List(6063, 10900), List(4384, 9185), List(3534, 4319), List(1359, 5406), List(3224, 5591), List(309, 6114), List(9201, 9860), List(890, 5867), List(4341, 9488), List(1817, 5503), List(2131, 11520), List(574, 4318), List(3621, 6166), List(2843, 2866), List(1874, 3004), List(4083, 7917), List(3248, 10499), List(910, 3486), List(9342, 11189), List(2778, 5854), List(4522, 7964), List(4763, 11059), List(105, 8162), List(5785, 7549), List(4174, 10664), List(1347, 7624), List(5674, 10916), List(1056, 6694), List(3461, 8513), List(4920, 8010), List(806, 5765), List(7404, 8432), List(532, 5196), List(1805, 5469), List(1988, 10057), List(670, 10041), List(10165, 10825), List(2083, 10294), List(767, 6941), List(7546, 7734), List(1672, 2846), List(4091, 10787), List(3468, 5146), List(2387, 11459), List(6273, 10090), List(2065, 2548), List(5903, 9059), List(1972, 6521), List(887, 8174), List(5543, 10244), List(4434, 8093), List(5363, 8556), List(3207, 3277), List(1620, 10950), List(218, 5571), List(8039, 11400), List(720, 6721), List(9529, 10210), List(935, 4431), List(3147, 6609), List(7011, 7925), List(5292, 6811), List(8401, 9537), List(1861, 4596), List(10171, 10616), List(5415, 11348), List(6435, 7765), List(8608, 10015), List(4229, 6533), List(1238, 2338), List(1420, 3318), List(2263, 4761), List(7149, 9737), List(5750, 11045), List(9693, 10210), List(5429, 11404), List(4206, 8242), List(850, 4858), List(9569, 9585), List(6396, 11570), List(7501, 10569), List(508, 10756), List(3218, 7549), List(917, 9463), List(5384, 8628), List(8909, 10478), List(1502, 5952), List(122, 4304), List(2680, 9371), List(311, 7209), List(1219, 9801), List(3485, 8078), List(2019, 7410), List(2117, 4535), List(8068, 9081), List(5719, 8325), List(5667, 8135), List(3571, 7071), List(997, 1471), List(3729, 7657), List(2367, 11476), List(2856, 8257), List(4602, 4778), List(2893, 10768), List(1324, 9221), List(3478, 7257), List(8860, 10185), List(1692, 11337), List(1198, 4386), List(3130, 3541), List(327, 5059), List(2870, 9094), List(4005, 10157), List(3286, 4054), List(1637, 10849), List(698, 3282), List(3184, 3777), List(2946, 11533), List(7361, 10508), List(7294, 9286), List(7664, 8065), List(7386, 11504), List(1913, 3550), List(2322, 7919), List(3874, 8361), List(5274, 10661), List(5976, 7735), List(5456, 9389), List(6040, 6407), List(2086, 8581), List(1489, 4161), List(3882, 10881), List(153, 2785), List(1233, 9833), List(2141, 5255), List(7336, 10986), List(5898, 5950), List(366, 6461), List(2389, 8740), List(6401, 9954), List(4586, 9132), List(7424, 10052), List(2694, 5589), List(3124, 11589), List(8380, 8928), List(3123, 11364), List(793, 9130), List(230, 9956), List(6665, 10939), List(7262, 8943), List(688, 4418), List(605, 9079), List(5015, 7710), List(6725, 8738), List(1338, 6220), List(5955, 6053), List(1802, 4634), List(1366, 7487), List(2799, 3511), List(1739, 3531), List(1372, 8433), List(1437, 3166), List(2954, 3799), List(989, 8668), List(4631, 4687), List(1399, 10229), List(895, 6000), List(9761, 10023), List(112, 4608), List(1679, 6082), List(2952, 6355), List(2503, 9003), List(9703, 10018), List(1726, 9311), List(4184, 10010), List(5061, 11037), List(10, 1298), List(5486, 9523), List(5362, 7767), List(10116, 10372), List(5210, 8127), List(5361, 7542), List(1505, 3835), List(4180, 10241), List(4300, 8091), List(1344, 2197), List(57, 3746), List(554, 10968), List(2801, 5785), List(6034, 10267), List(3947, 9666), List(4360, 5863), List(3603, 9856), List(2330, 3167), List(2204, 3994), List(6817, 7872), List(6345, 8816), List(6344, 10843), List(2485, 3455), List(2442, 6791), List(6242, 10566), List(4406, 11119), List(366, 4851), List(3752, 10329), List(7114, 11249), List(8755, 9474), List(6549, 8996), List(5993, 6829), List(1881, 5411), List(5463, 7795), List(2013, 7782), List(790, 3866), List(2125, 8023), List(392, 3039), List(2905, 8363), List(1133, 4205), List(4209, 10955), List(8071, 9946), List(6393, 11085), List(2310, 3989), List(216, 3752), List(2650, 4811), List(2113, 6858), List(3582, 11207), List(1117, 2921), List(3792, 8573), List(2990, 7131), List(3267, 9883), List(7398, 9099), List(3175, 10294), List(656, 7407), List(3947, 8861), List(4061, 4267), List(5913, 7600), List(3162, 9308), List(6584, 10279), List(3346, 5453), List(737, 9466), List(4469, 5001), List(3820, 10971), List(6560, 9104), List(736, 9995), List(5309, 9556), List(4970, 5926), List(3150, 4760), List(6489, 10392), List(1544, 8219), List(4097, 6526), List(3968, 7836), List(8419, 8720), List(5864, 8088), List(2435, 8198), List(8226, 9079), List(2004, 9143), List(9493, 9537), List(6571, 8889), List(5050, 8514), List(4704, 7877), List(4917, 8924), List(4636, 8682), List(3985, 11573), List(960, 10046), List(2072, 3800), List(462, 9769), List(1243, 10334), List(3796, 8641), List(1060, 10627), List(4040, 9001), List(5647, 8396), List(5223, 6348), List(2069, 6131), List(981, 11273), List(8336, 9193), List(4304, 9232), List(1666, 8343), List(451, 11458), List(379, 9892), List(10556, 11262), List(3469, 6152), List(1015, 7070), List(9064, 9373), List(4361, 6733), List(534, 10180), List(1177, 4395), List(678, 6926), List(1870, 8523), List(366, 5119), List(8025, 10620), List(681, 9826), List(5882, 7458), List(423, 3374), List(6090, 8161), List(3232, 5808), List(2702, 9026), List(9299, 11468), List(8950, 11314), List(3819, 5753), List(444, 10263), List(2624, 10274), List(5989, 10711), List(1980, 6008), List(7768, 9624), List(4704, 5917), List(1569, 4222), List(3193, 6230), List(4774, 5158), List(5142, 9526), List(1009, 9483), List(384, 3015), List(6669, 7437), List(287, 9498), List(3995, 4639), List(4234, 6907), List(230, 2548), List(3986, 6805), List(1985, 2595), List(4205, 11050), List(1657, 7425), List(6568, 6981), List(1480, 4530), List(9673, 9965), List(1087, 8211), List(1390, 1604), List(2415, 8945), List(1957, 7313), List(1671, 6727), List(2442, 6604), List(1795, 2821), List(1456, 3355), List(3567, 11143), List(5936, 6889), List(3448, 9731), List(5617, 10327), List(5082, 7539), List(49, 3267), List(11163, 11377), List(6619, 10302), List(4365, 5646), List(7348, 9199), List(720, 8575), List(9381, 9914), List(389, 8970), List(4044, 6005), List(1757, 6851), List(692, 6527), List(3982, 5127), List(3400, 5903), List(4917, 9542), List(5698, 10107), List(1894, 2426), List(1348, 5111), List(3583, 4829), List(5097, 8197), List(1807, 3181), List(6251, 7058), List(738, 6121), List(9304, 9852), List(1142, 3730), List(553, 9751), List(2514, 10398), List(1831, 11122), List(4037, 5184), List(1179, 6995), List(2509, 10054), List(7020, 9491), List(7431, 8271), List(1667, 9967), List(2571, 7899), List(2320, 4116), List(291, 11444), List(3035, 6313), List(3468, 9578), List(6556, 11427), List(1534, 7344), List(9572, 10956), List(4555, 7217), List(2406, 3109), List(2287, 5861), List(3345, 4260), List(4150, 9383), List(657, 9700), List(6739, 7347), List(6541, 7362), List(7191, 10662), List(6915, 8512), List(2584, 8484), List(4953, 10646), List(3308, 8515), List(1770, 5527), List(2150, 5748), List(1611, 11132), List(718, 3910), List(10950, 11403), List(2431, 10871), List(3548, 4969), List(991, 9172), List(3575, 9044), List(3642, 11020), List(3105, 10815), List(6226, 8640), List(705, 2924), List(7119, 9446), List(3975, 9917), List(3569, 9229), List(1992, 11174), List(7395, 7809), List(6276, 11386), List(4029, 10153), List(5876, 7480), List(7335, 11141), List(6265, 10473), List(3619, 5559), List(9229, 9812), List(2846, 3357), List(263, 8591), List(3372, 9065), List(2815, 6673), List(3429, 8818), List(103, 7555), List(1319, 8048), List(6083, 11341), List(7439, 7707), List(5047, 10257), List(2435, 10589), List(4517, 7059), List(3488, 7146), List(2610, 8900), List(10465, 11307), List(59, 10639), List(3478, 4923), List(2932, 8362), List(582, 3998), List(6497, 8887), List(3197, 9599), List(5005, 6998), List(2975, 4302), List(6190, 11588), List(5806, 8215), List(831, 10337), List(9102, 10767), List(2128, 8752), List(1692, 9353), List(5026, 8225), List(2218, 4481), List(1380, 1884), List(4375, 6952), List(2288, 3722), List(3781, 6213), List(668, 9003), List(6858, 7149), List(1335, 1360), List(4054, 11448), List(2607, 8578), List(4611, 5889), List(6347, 8138), List(4263, 8589), List(6809, 9889), List(3380, 7747), List(8309, 9387), List(1590, 8645), List(3825, 8363), List(184, 2366), List(6309, 8785), List(5777, 8924), List(5128, 10730), List(6439, 8077), List(7743, 9915), List(1669, 10631), List(1638, 2650), List(1101, 4697), List(2045, 6192), List(2778, 3333), List(3533, 4929), List(5145, 11084), List(6148, 8278), List(4307, 7733), List(4644, 7126), List(7856, 8479), List(4776, 6491), List(6921, 7447), List(4555, 11218), List(1415, 2763), List(1584, 4292), List(563, 10656), List(4820, 6039), List(2123, 7953), List(1495, 4220), List(5044, 11382), List(555, 2844), List(10585, 11334), List(8780, 11200), List(2801, 11022), List(10884, 11401), List(5541, 8401), List(460, 9373), List(832, 2563), List(4321, 4756), List(5092, 11049), List(2180, 11089), List(8832, 10609), List(2144, 2764), List(1767, 2814), List(6371, 8858), List(6159, 10665), List(7300, 11573), List(10352, 11513), List(7236, 7616), List(2289, 4616), List(5059, 5624), List(1475, 6577), List(146, 2208), List(6491, 10091), List(755, 3255), List(9471, 10717), List(1785, 10940), List(515, 7178), List(4173, 4484), List(10503, 11278), List(125, 6242), List(68, 9872), List(412, 9682), List(1441, 3179), List(2394, 8954), List(6820, 11471), List(7340, 7565), List(1643, 10483), List(153, 5257), List(4979, 9428), List(2804, 4099), List(8939, 11206), List(2671, 10925), List(2795, 6265), List(8090, 9948), List(1481, 8620), List(2921, 8067), List(9017, 9584), List(3550, 11244), List(3607, 5362), List(1117, 11541), List(5305, 11291), List(4852, 10003), List(8770, 8926), List(5318, 9244), List(1607, 4006), List(6154, 9516), List(1269, 8148), List(321, 1993), List(8695, 9691), List(1190, 8040), List(4032, 10614), List(5209, 11179), List(1348, 2964), List(1098, 9205), List(1246, 9103), List(7727, 10431), List(406, 11341), List(3959, 4659), List(4179, 6877), List(378, 10047), List(1563, 8221), List(1489, 5828), List(365, 8307), List(1676, 5654), List(2266, 2487), List(4786, 11234), List(5758, 8361), List(1272, 10674), List(5004, 10373), List(6931, 11436), List(675, 6254), List(1239, 1866), List(4043, 10372), List(5411, 8253), List(2880, 7261), List(7236, 9039), List(8956, 10755), List(5802, 11292), List(1053, 2615), List(2689, 6912), List(5151, 10019), List(9328, 9580), List(3905, 7405), List(5618, 5698), List(857, 6086), List(3179, 7678), List(1441, 4602), List(8072, 9661), List(4961, 6862), List(1568, 4377), List(3175, 10188), List(8042, 10950), List(4675, 10440), List(9750, 11151), List(2920, 3253), List(9505, 11320), List(4987, 8460), List(5453, 9953), List(5854, 11051), List(27, 10890), List(868, 11506), List(2520, 2730), List(5006, 6231), List(56, 3714), List(1890, 8750), List(3197, 8607), List(7056, 9579), List(1361, 2744), List(5003, 5179), List(7466, 11140), List(16, 9950), List(5036, 10954), List(3990, 9182), List(227, 7918), List(3367, 3541), List(8674, 10237), List(168, 4305), List(6986, 10688), List(3184, 3834), List(668, 11044), List(7645, 10324), List(6643, 8070), List(2428, 5019), List(2310, 6461), List(166, 6861), List(1059, 7667), List(622, 7666), List(8311, 8872), List(10141, 10756), List(4086, 9240), List(3205, 11477), List(5173, 6879), List(7773, 11448), List(5792, 8614), List(2456, 3253), List(5757, 10313), List(1296, 3823), List(7966, 8056), List(1736, 4095), List(1708, 8463), List(1152, 10460), List(2422, 7806), List(111, 9032), List(4469, 7473), List(2180, 10902), List(2423, 8408), List(274, 4300), List(4120, 9948), List(8022, 8338), List(6305, 10303), List(2698, 9552), List(6764, 8373), List(2528, 4445), List(6791, 10196), List(356, 2797), List(7458, 9693), List(5144, 7238), List(4710, 10918), List(1231, 2997), List(3562, 8839), List(3245, 6688), List(1374, 1770), List(4049, 11586), List(190, 4198), List(7130, 10012), List(3706, 8968), List(530, 856), List(2026, 9280), List(4734, 9410), List(5078, 9220), List(10109, 10413), List(1902, 5272), List(527, 10384), List(2397, 5251), List(11082, 11148), List(7935, 7938), List(1798, 4168), List(32, 9624), List(2329, 10220), List(1266, 4307), List(5309, 7840), List(1363, 7623), List(544, 5076), List(4186, 7511), List(2228, 7135), List(8394, 9391), List(242, 3957), List(8602, 10094), List(102, 7360), List(2942, 9107), List(3408, 10600), List(5679, 9975), List(4342, 4991), List(794, 7853), List(5238, 9478), List(5176, 8600), List(1064, 3018), List(7204, 11223), List(5544, 7306), List(1590, 8726), List(2500, 4975), List(10865, 11456), List(4275, 7152), List(4609, 6274), List(194, 883), List(5799, 11208), List(8930, 8997), List(432, 9342), List(4384, 7095), List(10770, 11569), List(5099, 9292), List(3793, 10037), List(2982, 7351), List(2041, 3121), List(463, 1458), List(3847, 10273), List(6221, 6363), List(3222, 10221), List(4316, 9031), List(9701, 11476), List(6210, 8456), List(3758, 4539), List(4558, 8564), List(4598, 11346), List(5457, 6906), List(1169, 9958), List(2778, 3764), List(5437, 8883), List(8759, 10404), List(951, 4780), List(6734, 8052), List(2274, 11586), List(5209, 10187), List(658, 7941), List(4198, 10099), List(3119, 6659), List(490, 2880), List(1994, 3251), List(1923, 4539), List(5291, 8657), List(6960, 8930), List(2345, 2727), List(7958, 11415), List(7607, 10434), List(5926, 7892), List(2944, 7193), List(6989, 11553), List(5554, 6034), List(6387, 6789), List(209, 6371), List(6020, 8658), List(2534, 5982), List(2748, 3467), List(1492, 10745), List(6297, 10629), List(1340, 6941), List(1185, 9282), List(5665, 7154), List(6625, 9182), List(651, 2932), List(6588, 9300), List(1486, 2979), List(2297, 5638), List(5504, 8899), List(896, 9529), List(6457, 7504), List(235, 7568), List(2692, 6167), List(3975, 7128), List(5523, 10080), List(7758, 9044), List(1968, 3103), List(350, 11463), List(1338, 2707), List(3063, 11183), List(1256, 10222), List(1932, 6829), List(2687, 5419), List(10550, 10750), List(218, 6059), List(819, 7188), List(4196, 8416), List(8955, 11365), List(2981, 11531), List(744, 8734), List(6212, 6518), List(2540, 8001), List(4929, 11569), List(1049, 9720), List(75, 5350), List(3908, 11517), List(166, 4714), List(4935, 9105), List(1855, 11281), List(3720, 5804), List(6987, 9116), List(2374, 9402), List(1063, 6393), List(3843, 7335), List(4022, 5388), List(1437, 8297), List(7357, 11278), List(129, 8215), List(3152, 9669), List(2242, 7004), List(497, 505), List(3167, 3561), List(11544, 11557), List(215, 11372), List(709, 1327), List(4170, 6390), List(4875, 7145), List(1428, 4397), List(3193, 5132), List(7957, 8425), List(705, 1558), List(1360, 2950), List(3218, 6882), List(6798, 8439), List(2634, 6831), List(4874, 6893), List(1424, 3874), List(5837, 6186), List(5742, 9332), List(10281, 10817), List(3249, 5414), List(7848, 10360), List(6795, 8141), List(6081, 6546), List(7765, 8605), List(971, 9032), List(4926, 10466), List(8348, 11437), List(2617, 8355), List(4611, 4978), List(3427, 7406), List(9533, 9611), List(5797, 10170), List(7574, 9010), List(2825, 6025), List(1467, 6580), List(10737, 11218), List(723, 5116), List(1580, 4013), List(4169, 8393), List(6743, 7577), List(5773, 7490), List(8486, 10216), List(78, 655), List(425, 10562), List(1079, 9854), List(6209, 10272), List(1133, 9336), List(1974, 3536), List(6213, 11145), List(7789, 9729), List(134, 7353), List(1440, 3602), List(7288, 11433), List(662, 6718), List(1851, 2382), List(3850, 5765), List(2074, 11287), List(7752, 9847), List(8101, 10001), List(128, 6784), List(3588, 8239), List(1444, 10891), List(1874, 9721), List(11183, 11281), List(3086, 6308), List(1467, 2392), List(5207, 8368), List(997, 6415), List(4574, 8455), List(680, 4264), List(1614, 5071), List(2799, 3999), List(436, 11451), List(1869, 9727), List(33, 10280), List(933, 5841), List(7495, 8097), List(4076, 7397), List(3140, 3511), List(984, 8058), List(2207, 3306), List(4158, 8927), List(8027, 11341), List(1547, 10615), List(8886, 10284), List(5770, 6387), List(10599, 10829), List(2572, 10759), List(541, 7838), List(6052, 6450), List(536, 1078), List(4579, 4611), List(8, 10758), List(2718, 7551), List(3523, 5504), List(5327, 6167), List(8599, 9823), List(1609, 3922), List(1896, 3198), List(719, 7551), List(5380, 9211), List(6996, 7194), List(2525, 10539), List(486, 10009), List(3471, 7973), List(8278, 8684), List(5540, 10597), List(1297, 6252), List(1923, 9158), List(806, 8644), List(5710, 8564), List(1978, 2449), List(4182, 7018), List(4839, 5073), List(3789, 4283), List(9472, 9603), List(143, 3604), List(9568, 10065), List(6886, 8123), List(10184, 11502), List(4890, 5011), List(1825, 8219), List(9442, 10111), List(2553, 5016), List(2521, 5478), List(2438, 3723), List(4914, 6536), List(1894, 9517), List(6723, 6789), List(439, 5975), List(1776, 2291), List(4354, 8010), List(3366, 10350), List(2976, 3025), List(3072, 9903), List(7402, 10460), List(1428, 10626), List(2424, 5895), List(361, 7223), List(4041, 6732), List(3817, 7778), List(4868, 9170), List(1943, 9005), List(3125, 9914), List(3840, 5695), List(6774, 7077), List(3035, 10371), List(4145, 9714), List(10342, 11283), List(323, 11253), List(2162, 10971), List(2903, 7973), List(3591, 5341), List(6108, 8155), List(7775, 8355), List(9333, 11241), List(5262, 6414), List(7836, 9008), List(3770, 4525), List(6851, 8613), List(5163, 9818), List(870, 5356), List(1080, 2722), List(61, 9913), List(140, 7762), List(308, 9790), List(3563, 9335), List(6279, 9326), List(3497, 4551), List(859, 10832), List(2972, 8867), List(352, 2922), List(3720, 7040), List(2758, 7595), List(1512, 11397), List(6200, 9972), List(2427, 8020), List(1563, 5700), List(14, 9693), List(325, 7111), List(4122, 7205), List(468, 3255), List(2589, 5315), List(5357, 5496), List(601, 6228), List(6473, 8037), List(5270, 6251), List(3357, 4140), List(1239, 5761), List(1399, 3764), List(5199, 7539), List(861, 9750), List(1916, 2189), List(804, 6183), List(1263, 10669), List(886, 2051), List(3680, 9869), List(540, 1414), List(706, 9031), List(257, 10925), List(1193, 9149), List(3997, 4823), List(3436, 6476), List(7818, 9475), List(5985, 11457), List(5923, 10579), List(1069, 10022), List(1, 3765), List(3658, 7986), List(5977, 10061), List(194, 1127), List(6857, 10605), List(2055, 4576), List(6874, 7576), List(1144, 1686), List(2916, 10008), List(2142, 9833), List(5634, 10045), List(9545, 11207), List(113, 4329), List(2977, 10634), List(23, 5567), List(1136, 10843), List(5996, 7428), List(2233, 6918), List(3219, 3751), List(7274, 8799), List(2009, 7210), List(1381, 7641), List(3437, 5142), List(1947, 4080), List(323, 2072), List(2624, 3541), List(3897, 10230), List(5304, 9537), List(8069, 10201), List(10522, 10556), List(3211, 6492), List(6292, 10580), List(4356, 7519), List(3385, 10994), List(1986, 11548), List(2120, 8330), List(2976, 9254), List(1962, 10373), List(178, 11116), List(1045, 10701), List(7024, 7469), List(6499, 8779), List(2672, 5810), List(5275, 7644), List(2503, 10727), List(9201, 10592), List(261, 9838), List(5094, 5354), List(9701, 10915), List(954, 1888), List(517, 1133), List(1325, 9937), List(7920, 8923), List(3493, 8433), List(3436, 7899), List(7240, 9164), List(1297, 8643), List(2875, 3136), List(20, 10126), List(3396, 8500), List(1728, 4665), List(4718, 9389), List(107, 6338), List(2249, 9275), List(7612, 7989), List(9069, 10823), List(561, 10480), List(1378, 6538), List(6703, 8178), List(4177, 6032), List(6484, 7316), List(686, 3012), List(2055, 5999), List(4011, 9712), List(5728, 7747), List(5105, 8522), List(4611, 7987), List(2610, 3777), List(1269, 2057), List(6444, 7136), List(66, 271), List(4233, 5560), List(279, 7734), List(7715, 10746), List(3704, 5970), List(6780, 9714), List(3323, 6278), List(3316, 5107), List(2545, 2978), List(3544, 11350), List(610, 9941), List(1415, 7894), List(4154, 9589), List(7576, 8308), List(2135, 8183), List(2212, 5959), List(4092, 5678), List(1475, 9830), List(7440, 7666), List(1311, 10173), List(5296, 8066), List(3183, 10031), List(977, 4635), List(1340, 9413), List(7193, 11172), List(7850, 9227), List(2649, 2927), List(2802, 6175), List(5701, 9283), List(195, 4599), List(6315, 10674), List(1000, 9722), List(224, 3839), List(938, 2428), List(1645, 6262), List(2622, 4487), List(743, 8376), List(221, 9203), List(2738, 5601), List(9241, 11414), List(6369, 10129), List(5624, 9221), List(450, 7750), List(6466, 11193), List(2626, 3855), List(3627, 5884), List(4745, 9252), List(1474, 4286), List(4937, 9422), List(4782, 8353), List(8581, 9274), List(5119, 11156), List(5807, 9278), List(1263, 7449), List(5700, 10909), List(411, 1756), List(7444, 10767), List(568, 5877), List(6889, 9956), List(2961, 6181), List(1464, 10364), List(5304, 7122), List(292, 3727), List(6130, 6706), List(4234, 7208), List(3213, 10566), List(350, 7869), List(1807, 10703), List(7502, 11122), List(2151, 10513), List(4355, 8666), List(5969, 9232), List(499, 4959), List(4258, 8733), List(3137, 8477), List(2636, 4519), List(1113, 3317), List(2513, 5617), List(1458, 6735), List(5336, 5505), List(1387, 8023), List(3839, 9688), List(5592, 9632), List(7607, 11296), List(3469, 4493), List(1134, 7577), List(886, 7475), List(1383, 8281), List(8167, 9418), List(10906, 11113), List(8703, 9398), List(2934, 4334), List(10436, 11349), List(4511, 5772), List(3146, 5156), List(2704, 4811), List(2091, 6274), List(5453, 6440), List(3925, 4894), List(4424, 6527), List(445, 10334), List(5317, 10716), List(4456, 7913), List(4137, 9853), List(5467, 6496), List(3873, 10746), List(3594, 11331), List(2477, 5155), List(5496, 8365), List(3101, 4982), List(5706, 9895), List(6958, 10045), List(3467, 7025), List(447, 5842), List(1572, 10381), List(9015, 10400), List(3186, 6783), List(2935, 3000), List(9598, 10226), List(6143, 9869), List(2812, 8262), List(4840, 10131), List(1569, 9329), List(344, 5340), List(2374, 8036), List(4548, 9730), List(630, 5145), List(6882, 7175), List(6252, 6779), List(5407, 8673), List(3447, 10880), List(5653, 5696), List(6726, 10045), List(186, 10766), List(1210, 4673), List(5630, 8156), List(8061, 11196), List(3913, 5957), List(802, 3158), List(810, 7183), List(4189, 5074), List(3010, 7846), List(4228, 8412), List(2784, 11475), List(4656, 7169), List(9009, 9430), List(270, 6680), List(9069, 9481), List(6951, 11102), List(757, 6798), List(237, 4288), List(2563, 9786), List(2501, 8908), List(6279, 8952), List(481, 4648), List(1298, 7122), List(565, 3595), List(950, 3406), List(4186, 11569), List(7641, 8516), List(1323, 8872), List(9263, 9697), List(7606, 9461), List(6762, 8547), List(4525, 8002), List(530, 10175), List(912, 4053), List(2966, 4891), List(7532, 10451), List(3697, 7621), List(725, 7610), List(2153, 5542), List(10021, 11217), List(5237, 9901), List(1462, 7122), List(2109, 4489), List(27, 5767), List(7279, 9224), List(1737, 2631), List(7340, 10631), List(1855, 4572), List(4573, 7642), List(11157, 11377), List(3001, 9207), List(105, 3364), List(3749, 7380), List(1567, 11460), List(4965, 7119), List(1290, 2292), List(1073, 3755), List(567, 5115), List(1780, 5337), List(6273, 9830), List(2846, 2853), List(1095, 8617), List(5955, 8208), List(1378, 4741), List(2400, 7647), List(11245, 11547), List(2649, 8351), List(2809, 6354), List(2673, 9499), List(7566, 8476), List(3273, 11184), List(1250, 3243), List(9488, 9949), List(2673, 3083), List(2423, 6318), List(2958, 3444), List(5998, 7531), List(6784, 8440), List(560, 7677), List(2766, 6657), List(180, 1794), List(1054, 2550), List(7862, 8245), List(9892, 10941), List(2382, 9700), List(4035, 10194), List(2610, 5363), List(3256, 9675), List(1234, 11004), List(3570, 4358), List(1719, 3879), List(4967, 7141), List(1693, 9074), List(10338, 11408), List(4111, 4712), List(4709, 5570), List(416, 1862), List(601, 7277), List(4670, 9779), List(2397, 9577), List(910, 8032), List(7854, 11336), List(9060, 10387), List(2310, 3916), List(6014, 7983), List(3177, 3501), List(402, 651), List(6685, 9908), List(615, 8114), List(4978, 6899), List(4716, 8619), List(2794, 3736), List(9705, 10310), List(5665, 11212), List(2109, 2879), List(10197, 10772), List(4065, 7346), List(1701, 5528), List(866, 8864), List(4439, 9250), List(1853, 8551), List(1478, 9428), List(394, 2638), List(2265, 10939), List(5847, 9913), List(8206, 11387), List(5928, 8589), List(2804, 10466), List(3585, 11031), List(4607, 7521), List(3223, 9861), List(8916, 9453), List(850, 10209), List(3649, 5539), List(2814, 8121), List(839, 5132), List(713, 6713), List(3421, 6089), List(4824, 6408), List(7411, 9961), List(28, 9993), List(8237, 9545), List(7935, 8426), List(5060, 7624), List(1245, 6924), List(3423, 9518), List(118, 9886), List(8449, 10367), List(2600, 3065), List(363, 2520), List(12, 7955), List(6993, 7354), List(3557, 11211), List(8018, 10531), List(2288, 11057), List(7068, 8467), List(9848, 10163), List(192, 9993), List(4032, 10915), List(192, 3577), List(402, 5107), List(10897, 11482), List(2525, 3830), List(2099, 11535), List(6695, 7138), List(4931, 9257), List(5289, 6521), List(1187, 5791), List(3365, 11391), List(1906, 5478), List(9428, 9762), List(5016, 11058), List(1592, 7008), List(3328, 5093), List(3013, 3769), List(1125, 8296), List(3613, 5454), List(7594, 8109), List(7157, 8108), List(5880, 10345), List(400, 11046), List(3752, 4108), List(2705, 9251), List(1646, 6463), List(6749, 9222), List(703, 5570), List(54, 7376), List(1596, 6376), List(1998, 3912), List(2531, 6627), List(3009, 6629), List(6457, 6569), List(846, 4343), List(8044, 8695), List(4365, 6378), List(6389, 10757), List(2153, 7583), List(9217, 10989), List(2, 6812), List(695, 10940), List(4267, 8472), List(1378, 4554), List(13, 10354), List(5067, 6835), List(559, 1253), List(10047, 11446), List(4489, 10736), List(714, 1541), List(1058, 6269), List(1431, 10981), List(2851, 4888), List(2233, 6007), List(4051, 10510), List(2794, 4354), List(9077, 11359), List(2575, 2738), List(1494, 9051), List(393, 9070), List(8436, 11528), List(7213, 7612), List(5589, 6358), List(11261, 11489), List(419, 5006), List(2810, 4483), List(979, 9544), List(475, 8321), List(2257, 4499), List(607, 1270), List(610, 7957), List(980, 6736), List(2654, 7353), List(167, 6633), List(3580, 7518), List(751, 3651), List(1807, 6141), List(8868, 10030), List(4083, 5860), List(10495, 11555), List(1562, 5556), List(772, 7911), List(3138, 4140), List(6346, 10255), List(2979, 9745), List(1367, 2836), List(7502, 9943), List(1122, 3005), List(4418, 11219), List(2608, 4325), List(3105, 11547), List(2299, 6953), List(1490, 10756), List(6932, 7319), List(6951, 11533), List(9053, 9379), List(10008, 11063), List(1471, 5818), List(2162, 9873), List(426, 1208), List(3970, 10655), List(999, 10145), List(9710, 10847), List(3459, 5255), List(1504, 10812), List(418, 9611), List(322, 3487), List(4993, 10753), List(778, 1286), List(3995, 5989), List(3797, 5250), List(8282, 9882), List(56, 2055), List(4830, 6036), List(9279, 11011), List(4981, 6205), List(278, 9981), List(3053, 7169), List(2707, 10696), List(3663, 11070), List(3047, 6600), List(3730, 10794), List(5344, 7196), List(363, 5366), List(8148, 9286), List(3201, 10450), List(5040, 10168), List(75, 2455), List(5028, 8653), List(4601, 7088), List(2297, 5321), List(8609, 11566), List(4711, 9885), List(4272, 6805), List(3703, 7062), List(1626, 8684), List(905, 8924), List(6259, 9804), List(8988, 10057), List(2460, 2467), List(1711, 10485), List(3727, 9341), List(2959, 6729), List(6231, 11139), List(1801, 3962), List(1646, 2893), List(1620, 8088), List(769, 6003), List(2636, 4763), List(1610, 4367), List(2986, 8525), List(1670, 4418), List(2878, 10712), List(3602, 4327), List(3908, 7817), List(1318, 9628), List(7677, 10027), List(1418, 10963), List(110, 10881), List(6299, 8425), List(2689, 3993), List(5481, 8732), List(405, 10048), List(6625, 6905), List(1817, 7447), List(3026, 10933), List(7255, 10684), List(5285, 8039), List(188, 2062), List(3393, 8660), List(272, 7425), List(67, 3987), List(7909, 8441), List(2088, 9603), List(4848, 5005), List(517, 10639), List(3853, 10338), List(8366, 9848), List(6341, 7496), List(6626, 10109), List(2382, 2910), List(6803, 11499), List(3376, 3768), List(10529, 10629), List(3442, 5519), List(8665, 9134), List(2973, 5980), List(7789, 10217), List(3537, 8008), List(4688, 7352), List(4187, 9810), List(322, 10521), List(5601, 9564), List(5055, 5833), List(848, 3397), List(413, 6852), List(5752, 5946), List(492, 5455), List(2393, 5297), List(2859, 10954), List(1529, 3731), List(3244, 11519), List(5073, 9795), List(6005, 9775), List(2640, 3676), List(5618, 6885), List(8496, 11368), List(593, 8890), List(4251, 6196), List(116, 9490), List(479, 682), List(9475, 10413), List(2854, 4544), List(4027, 7619), List(1508, 4732), List(2685, 5297), List(9849, 10065), List(1195, 3481), List(7426, 11050), List(2810, 3491), List(5688, 7974), List(848, 5625), List(5708, 9380), List(4607, 7147), List(598, 2444), List(8543, 10783), List(2710, 9676), List(281, 1047), List(1471, 5981), List(316, 2731), List(1253, 10225), List(4727, 11386), List(8464, 10675), List(10360, 10927), List(785, 7905), List(4011, 8964), List(1580, 5924), List(336, 4137), List(8159, 10793), List(6404, 10022), List(7971, 10742), List(891, 8331), List(4132, 11176), List(1458, 10630), List(861, 9620), List(1894, 11160), List(3539, 6875), List(5994, 8811), List(7702, 9012), List(9446, 11122), List(3386, 10016), List(5588, 6588), List(2250, 10980), List(4245, 8205), List(7200, 10464), List(8974, 9033), List(3119, 4195), List(4560, 6496), List(8507, 10321), List(5611, 8642), List(4556, 9760), List(6605, 10254), List(7197, 7914), List(1904, 10693), List(3802, 4602), List(3265, 6649), List(1680, 8733), List(1967, 8009), List(709, 1628), List(4795, 5989), List(1104, 2157), List(5408, 10161), List(6841, 8437), List(5872, 8575), List(3224, 6998), List(5964, 11547), List(3717, 3898), List(1690, 4883), List(1755, 3780), List(6333, 10855), List(1419, 10247), List(3721, 11187), List(2568, 8764), List(6572, 6707), List(4565, 9068), List(4802, 8257), List(3618, 10685), List(2847, 11562), List(2186, 9601), List(4264, 4417), List(1001, 1978), List(9834, 10025), List(7596, 10009), List(707, 10576), List(9397, 10401), List(1771, 7265), List(2762, 8606), List(9085, 9348), List(2854, 5162), List(11164, 11182), List(5496, 8422), List(7703, 10256), List(970, 11336), List(1684, 10679), List(1125, 2579), List(10744, 11535), List(2874, 9197), List(5432, 7848), List(1194, 10263), List(7285, 11436), List(9186, 11278), List(5705, 9700), List(3740, 5147), List(7251, 8819), List(7624, 7869), List(1029, 2467), List(1063, 8467), List(4889, 7047), List(6635, 9984), List(558, 7019), List(3049, 10110), List(153, 2769), List(493, 5089), List(4008, 6251), List(3354, 7713), List(4477, 11425), List(678, 8252), List(3443, 4752), List(521, 4104), List(445, 11464), List(5066, 8787), List(4407, 7653), List(5828, 10830), List(5370, 9198), List(1530, 6024), List(9716, 10288), List(168, 9843), List(1622, 8996), List(4889, 5892), List(1907, 5193), List(6855, 11047), List(537, 11403), List(5324, 5820), List(2037, 10901), List(4076, 6543), List(5700, 8551), List(1775, 8457), List(9863, 9934), List(553, 1733), List(1275, 11517), List(523, 10192), List(548, 11188), List(4980, 6360), List(54, 4237), List(6024, 6581), List(423, 9961), List(1385, 2236), List(6093, 7849), List(2597, 4485), List(5238, 9055), List(272, 9011), List(2693, 4947), List(6180, 10477), List(762, 6394), List(880, 9833), List(5276, 9512), List(1666, 10742), List(4997, 10097), List(3256, 7504), List(1571, 5220), List(7133, 9055), List(2465, 9634), List(7785, 10930), List(2246, 10270), List(1090, 4166), List(3702, 3834), List(3108, 9511), List(3956, 4882), List(7357, 11392), List(10079, 10474), List(5414, 11324), List(7996, 8117), List(8180, 10678), List(2170, 8181), List(7868, 8871), List(249, 10316), List(9979, 10243), List(4700, 8948), List(8554, 9576), List(2831, 7109), List(861, 8628), List(6776, 7855), List(1118, 9947), List(7369, 8369), List(3346, 6242), List(2220, 7894), List(647, 7329), List(4799, 11586), List(5611, 7300), List(9253, 10489), List(791, 10491), List(2473, 9471), List(1069, 5517), List(4338, 9656), List(3868, 11427), List(3429, 10599), List(4330, 9014), List(2156, 10703), List(11115, 11507), List(6036, 6136), List(2092, 8998), List(3926, 8372), List(1490, 4234), List(4547, 10934), List(4444, 7049), List(5383, 11206), List(11114, 11282), List(2091, 9527), List(4885, 10175), List(1117, 9321), List(2421, 11159), List(219, 1001), List(2426, 5087), List(3443, 8403), List(4449, 10776), List(8525, 10285), List(5815, 7830), List(3045, 5324), List(2819, 11205), List(1666, 8782), List(7767, 10643), List(1893, 5755), List(399, 3039), List(3193, 10857), List(10347, 10773), List(7735, 9607), List(5496, 8235), List(5299, 11104), List(476, 10614), List(6695, 8000), List(8040, 9839), List(4044, 5371), List(5160, 8666), List(11323, 11405), List(2665, 7331), List(7721, 10998), List(9046, 11461), List(10145, 10615), List(7903, 10480), List(8672, 8776), List(950, 9342), List(2572, 4107), List(172, 380), List(4407, 10499), List(5004, 8503), List(6337, 8827), List(585, 1458), List(857, 3866), List(891, 9112), List(6262, 6963), List(3252, 10632), List(1505, 7470), List(4048, 11505), List(1754, 11180), List(3216, 7942), List(5955, 8883), List(1091, 6140), List(7720, 9618), List(2365, 9267), List(407, 2475), List(9096, 10743), List(3021, 7851), List(6433, 8134), List(4077, 10341), List(2793, 4991), List(1239, 8640), List(3732, 6896), List(5838, 10176), List(3037, 5351), List(7747, 8381), List(2881, 10473), List(7886, 10445), List(4618, 9914), List(3660, 11342), List(5148, 9325), List(7319, 11502), List(8965, 10825), List(2031, 5957), List(9715, 9825), List(3368, 4525), List(3806, 8134), List(103, 6921), List(1656, 10217), List(680, 9184), List(3877, 5341), List(4229, 9176), List(2286, 2692), List(1265, 9056), List(525, 9246), List(8759, 9794), List(1283, 7383), List(8232, 11031), List(2778, 6537), List(6294, 10553), List(1853, 6193), List(198, 3374), List(1223, 5797), List(601, 10180), List(3620, 6974), List(340, 9092), List(966, 5582), List(754, 7389), List(6855, 9250), List(4209, 4336), List(2371, 8226), List(1205, 1434), List(659, 4119), List(5361, 6534), List(8064, 8572), List(5597, 9285), List(6064, 7216), List(1016, 8328), List(3822, 11245), List(2770, 8874), List(3254, 5311), List(239, 8636), List(3723, 10485), List(7088, 8670), List(5195, 7935), List(5909, 7278), List(2912, 4793), List(2606, 6938), List(2503, 3807), List(10037, 10360), List(5995, 9681), List(3468, 9562), List(789, 8672), List(6290, 6596), List(4710, 11276), List(2866, 11214), List(1477, 6794), List(4058, 6395), List(2220, 10285), List(1902, 5280), List(1279, 6055), List(620, 7173), List(7280, 10718), List(9845, 10540), List(2808, 4793), List(4543, 9069), List(3402, 8161), List(3612, 5527), List(8376, 8820), List(549, 5428), List(9434, 11356), List(5568, 6961), List(3386, 6877), List(4819, 11569), List(2846, 2991), List(3250, 7016), List(483, 10443), List(4849, 6493), List(7294, 7741), List(4785, 8952), List(4589, 4876), List(6245, 9805), List(2036, 4290), List(948, 8678), List(847, 2210), List(4148, 8516), List(7159, 8455), List(6606, 9969), List(567, 2570), List(2093, 8207), List(6416, 7593), List(2747, 5964), List(1491, 8324), List(1307, 6517), List(1711, 4126), List(8028, 10715), List(5170, 8362), List(614, 5018), List(6969, 7927), List(369, 9351), List(4376, 6811), List(2633, 7555), List(9978, 11203), List(7684, 10124), List(10529, 11491), List(5589, 10416), List(448, 4167), List(1568, 4198), List(3475, 7992), List(3716, 4671), List(204, 7190), List(5400, 6730), List(7943, 10765), List(11067, 11517), List(200, 9700), List(3244, 5615), List(4718, 10308), List(8135, 10935), List(5888, 9702), List(2187, 9316), List(4298, 5026), List(3267, 9948), List(7219, 7701), List(1117, 6369), List(4055, 4487), List(1677, 10907), List(331, 8843), List(4360, 8506), List(9523, 9818), List(7840, 10613), List(8681, 11229), List(4631, 6525), List(8607, 8836), List(4264, 5011), List(5403, 9256), List(6437, 8015), List(9855, 11496), List(3790, 9292), List(5844, 10130), List(8196, 10433), List(205, 6610), List(3620, 9820), List(5769, 8266), List(1410, 5436), List(1566, 5949), List(7481, 8586), List(6426, 9704), List(6791, 8139), List(2954, 10898), List(3668, 10241), List(433, 11348), List(3640, 8193), List(811, 1320), List(5893, 6208), List(3302, 5165), List(2397, 2844), List(4816, 8533), List(4234, 5899), List(6412, 8493), List(1801, 5442), List(221, 10122), List(92, 8022), List(3380, 9959), List(5291, 11243), List(5093, 10504), List(6311, 11070), List(7519, 7538), List(7302, 9001), List(1426, 9702), List(5440, 8333), List(1455, 8188), List(2265, 7239), List(7275, 9807), List(1417, 5452), List(4278, 8076), List(6453, 10372), List(4870, 9119), List(641, 2952), List(4674, 5043), List(4431, 8291), List(2726, 5355), List(3500, 4749), List(4054, 6089), List(8813, 9038), List(3188, 7106), List(7006, 8077), List(4298, 6449), List(2682, 8466), List(820, 1382), List(4801, 10453), List(8543, 10840), List(1594, 7192), List(5554, 8970), List(5038, 9642), List(1626, 2943), List(346, 1499), List(2871, 8338), List(1928, 9697), List(2936, 9487), List(7556, 8894), List(4354, 5977), List(9170, 9433), List(1952, 4806), List(2072, 3410), List(5471, 9093), List(8509, 10101), List(3163, 7584), List(3228, 8733), List(2827, 8389), List(8641, 10220), List(7868, 10270), List(2170, 3164), List(3226, 5654), List(5053, 9519), List(6930, 9721), List(910, 2372), List(8110, 9803), List(1135, 4934), List(326, 9491), List(4768, 10289), List(1469, 7439), List(4019, 6229), List(8351, 9865), List(5457, 11265), List(2554, 8415), List(1649, 6094), List(152, 3861), List(10024, 11011), List(3388, 5608), List(3582, 8857), List(98, 7008), List(6319, 9725), List(3138, 5433), List(161, 5078), List(7007, 7093), List(1559, 10715), List(269, 2167), List(717, 6464), List(6029, 6364), List(7607, 8027), List(1208, 6701), List(2300, 11100), List(2254, 4339), List(3095, 4955), List(2353, 7728), List(290, 9056), List(5622, 6205), List(1575, 7434), List(4622, 6276), List(7134, 8746), List(704, 1691), List(733, 6593), List(5088, 5517), List(1445, 11525), List(1796, 6090), List(2009, 7137), List(2346, 3524), List(9596, 10318), List(10778, 11227), List(478, 9457), List(3150, 9176), List(4493, 10942), List(1721, 7609), List(1124, 3189), List(2433, 9535), List(6129, 9577), List(7345, 9316), List(6789, 11313), List(4260, 7738), List(4881, 10300), List(7040, 8680), List(2928, 3098), List(1392, 1691), List(7878, 9779), List(6195, 11328), List(1402, 2379), List(1204, 1640), List(3084, 7775), List(892, 7003), List(2609, 4284), List(3722, 7308), List(4260, 11121), List(4040, 6651), List(6157, 11221), List(3819, 4208), List(2377, 2436), List(5589, 6041), List(4369, 8812), List(482, 5038), List(6402, 11025), List(944, 3379), List(7980, 8901), List(2691, 6918), List(1015, 4720), List(974, 2467), List(6674, 10400), List(2555, 3647), List(7821, 8090), List(5732, 8197), List(1661, 2616), List(5639, 5754), List(286, 8482), List(2217, 4002), List(2265, 6702), List(5948, 9892), List(8341, 10950), List(6438, 9527), List(4258, 10270), List(1116, 5152), List(6993, 7305), List(2454, 6574), List(3610, 6262), List(9174, 10170), List(4998, 7047), List(4913, 8629), List(3776, 6739), List(6365, 11119), List(1322, 8411), List(2354, 6343), List(4966, 6011), List(8487, 10371), List(3094, 9536), List(7638, 11365), List(9726, 11033), List(2531, 4700), List(103, 4587), List(2150, 11424), List(2747, 3012), List(4729, 8700), List(2316, 10373), List(2495, 5420), List(1492, 6728), List(3303, 10060), List(6696, 10293), List(2704, 9731), List(1582, 8873), List(4419, 4687), List(3698, 4173), List(8436, 9251), List(1275, 11574), List(8985, 9493), List(2111, 5430), List(7281, 10165), List(1149, 2575), List(3785, 6801), List(607, 2026), List(8588, 10022), List(3478, 5338), List(2552, 8556), List(2167, 2329), List(8181, 11361), List(5991, 10662), List(1079, 5219), List(265, 2262), List(356, 1626), List(5536, 7049), List(4717, 10164), List(4631, 4728), List(4958, 6843), List(1632, 2170), List(4381, 4553), List(1915, 8120), List(2450, 5246), List(444, 692), List(3026, 11071), List(8320, 11146), List(3313, 8095), List(4273, 10123), List(3841, 4050), List(7848, 11336), List(3273, 4532), List(4623, 7469), List(8853, 10828), List(8442, 9042), List(4237, 7433), List(5988, 10714), List(40, 9849), List(2314, 8741), List(2211, 4856), List(7599, 10982), List(5348, 6597), List(1464, 7258), List(2799, 9163), List(9650, 11522), List(5316, 7059), List(125, 2201), List(3512, 10533), List(7060, 7671), List(2755, 8110), List(2078, 5616), List(7083, 7840), List(1047, 4876), List(7117, 11588), List(2198, 4220), List(4499, 11351), List(475, 2206), List(4236, 6053), List(4091, 9836), List(2124, 5210), List(288, 5763), List(904, 7981), List(1188, 1324), List(3407, 6171), List(6414, 8620), List(4891, 5166), List(5665, 10976), List(4175, 5750), List(8001, 10746), List(5, 9989), List(5564, 7137), List(897, 7160), List(4171, 5227), List(4418, 11520), List(5440, 8764), List(1046, 4250), List(3630, 8286), List(7549, 9309), List(3258, 5674), List(333, 2099), List(3077, 9800), List(1487, 7376), List(5281, 7953), List(1707, 9594), List(857, 11144), List(922, 11539), List(3592, 4769), List(422, 10435), List(5709, 9339), List(5266, 8769), List(1811, 6160), List(5116, 5792), List(1379, 3497), List(10348, 11405), List(7507, 9433), List(2347, 6140), List(3088, 7306), List(1067, 11489), List(3073, 4739), List(2804, 10930), List(1649, 7680), List(837, 5550), List(3046, 4047), List(7927, 8679), List(8219, 8299), List(5864, 10007), List(4468, 10078), List(239, 1659), List(6157, 10229), List(10, 1607), List(8925, 10410), List(1943, 10786), List(6743, 10326), List(4646, 6408), List(585, 1515), List(1781, 6294), List(8604, 11523), List(3929, 6767), List(4894, 9139), List(10716, 11585), List(1162, 1526), List(3739, 10807), List(5055, 7744), List(12, 5036), List(9010, 9178), List(6321, 7600), List(2866, 10653), List(2802, 8948), List(6219, 7323), List(2707, 9842), List(348, 1952), List(3297, 6675), List(936, 10790), List(4052, 6019), List(3140, 8943), List(499, 8537), List(2803, 9550), List(4022, 9560), List(3984, 6824), List(5575, 6440), List(6215, 6800), List(2708, 3247), List(6193, 8704), List(930, 1526), List(5317, 9033), List(169, 1613), List(2259, 5114), List(352, 11119), List(111, 8024), List(10508, 10858), List(7982, 10964), List(5828, 6512), List(7696, 10378), List(638, 3754), List(2257, 5418), List(10221, 10801), List(2962, 6927), List(2437, 4073), List(4243, 7061), List(4619, 9792), List(3119, 3878), List(1721, 8040), List(9209, 11242), List(2249, 7405), List(1559, 6958), List(28, 1731), List(3326, 4356), List(9930, 10221), List(4575, 10624), List(5099, 9089), List(372, 8307), List(3636, 5686), List(9551, 10575), List(3855, 10685), List(4430, 5732), List(1727, 4448), List(2816, 2914), List(5897, 10008), List(10284, 11099), List(7204, 9865), List(2193, 9324), List(3411, 9890), List(78, 8210), List(2874, 3269), List(1535, 11044), List(2774, 6071), List(129, 10427), List(2128, 11558), List(1440, 7774), List(1192, 7672), List(41, 1912), List(624, 1738), List(1651, 5742), List(1744, 1769), List(562, 860), List(1781, 11450), List(3672, 10604), List(1616, 8939), List(5566, 10029), List(960, 7322), List(3417, 10085), List(712, 7974), List(1558, 8934), List(617, 3950), List(1866, 6835), List(4665, 8581), List(840, 6439), List(4854, 8480), List(4787, 7258), List(7625, 8178), List(3136, 6810), List(3563, 6123), List(4228, 8957), List(1260, 7964), List(5802, 6714), List(9480, 11058), List(4626, 9003), List(5777, 8347), List(2410, 2919), List(3531, 10722), List(2158, 6081), List(8823, 9970), List(5733, 7294), List(3718, 10548), List(3938, 8602), List(1851, 8782), List(3833, 10306), List(6013, 10317), List(7513, 9815), List(3365, 8740), List(1835, 10531), List(4696, 6739), List(2777, 11199), List(881, 5285), List(6478, 9333), List(4525, 8547), List(3546, 3833), List(8910, 9565), List(4209, 10004), List(462, 2857), List(4080, 7904), List(4331, 5271), List(1767, 8303), List(8802, 10971), List(5003, 10050), List(9120, 9560), List(1120, 2268), List(10799, 11275), List(6215, 10801), List(4811, 6847), List(9606, 10207), List(607, 5840), List(2205, 2463), List(4748, 6498), List(8113, 10345), List(4589, 4933), List(1127, 1153), List(3158, 10867), List(2497, 11158), List(5544, 10754), List(72, 2648), List(8473, 11038), List(1097, 5825), List(2716, 7489), List(3713, 8618), List(1679, 8432), List(7119, 8332), List(4861, 6910), List(365, 8535), List(4348, 5601), List(3791, 10379), List(5565, 8948), List(6998, 7224), List(3629, 5133), List(3381, 11447), List(9506, 11450), List(8262, 9663), List(8170, 10074), List(5742, 6551), List(7545, 10022), List(5394, 9251), List(6397, 8697), List(4679, 10437), List(2349, 8203), List(262, 4973), List(6547, 8641), List(7354, 10427), List(5234, 8969), List(2529, 6858), List(1064, 9044), List(1680, 4846), List(1894, 9501), List(3666, 7243), List(3726, 11458), List(778, 9589), List(7218, 10916), List(7025, 11275), List(2880, 9717), List(5039, 8097), List(8387, 10839), List(1145, 8070), List(3194, 4400), List(1695, 2094), List(7575, 7928), List(2654, 3897), List(7206, 9751), List(1313, 8593), List(10779, 10891), List(5118, 7050), List(2313, 7741), List(314, 4358), List(3206, 8547), List(6545, 11173), List(165, 10651), List(4831, 6993), List(6624, 9776), List(4294, 6788), List(118, 10081), List(3638, 11587), List(92, 4696), List(2748, 3882), List(1091, 4400), List(673, 7859), List(5133, 9960), List(4192, 5730), List(921, 11344), List(10007, 11169), List(7142, 11055), List(5440, 8390), List(5774, 7512), List(2567, 4251), List(7463, 9915), List(5725, 11003), List(4877, 9216), List(232, 919), List(8170, 11497), List(6960, 8540), List(9668, 10922), List(3584, 3780), List(3280, 6752), List(1917, 2799), List(8534, 9680), List(9187, 10999), List(4247, 9170), List(2339, 7403), List(876, 11170), List(4983, 9992), List(1647, 3877), List(2376, 10668), List(9967, 11339), List(8819, 9260), List(2615, 4268), List(5567, 8508), List(5424, 6702), List(959, 9892), List(7657, 9757), List(4009, 9005), List(7529, 10511), List(6218, 6748), List(1170, 7860), List(2145, 5258), List(6680, 8499), List(793, 4877), List(139, 4087), List(4095, 8375), List(1662, 10924), List(3377, 5880), List(545, 1742), List(1725, 8240), List(1940, 10114), List(259, 7572), List(5111, 7302), List(1477, 2476), List(4713, 10639), List(5417, 8540), List(2929, 4966), List(6258, 9156), List(2283, 10453), List(5602, 7539), List(11149, 11443), List(3608, 3719), List(662, 9093), List(3016, 10223), List(2732, 4048), List(4479, 10593), List(219, 2107), List(1859, 4648), List(4735, 8304), List(7531, 10533), List(6125, 9916), List(4879, 11466), List(7060, 7915), List(1950, 3231), List(4931, 10875), List(7264, 11128), List(11001, 11171), List(2764, 9571), List(851, 7460), List(1659, 3432), List(3837, 9032), List(146, 10088), List(1872, 4479), List(669, 2693), List(3036, 11198), List(3740, 9099), List(701, 1450), List(7575, 8896), List(3549, 8750), List(1777, 4592), List(7012, 9722), List(6981, 8157), List(4206, 5307), List(6544, 8156), List(3325, 7544), List(8593, 8650), List(4207, 8161), List(213, 6772), List(153, 305), List(7537, 9543), List(4359, 4768), List(8454, 8491), List(1716, 3535), List(250, 10037), List(2614, 5439), List(1984, 5043), List(2698, 3632), List(2584, 6728), List(2608, 11286), List(6500, 8234), List(368, 644), List(901, 1107), List(711, 11563), List(3880, 7924), List(6242, 6663), List(1008, 11557), List(6729, 6781), List(6639, 10271), List(8789, 11571), List(3932, 5081), List(1812, 5875), List(1034, 9745), List(4184, 5302), List(3675, 3735), List(3738, 7467), List(3645, 5024), List(2124, 4649), List(1098, 10669), List(5829, 11570), List(2128, 11184), List(6629, 9933), List(1002, 7174), List(10399, 10833), List(5965, 6920), List(7086, 10559), List(1231, 5721), List(2046, 11532), List(3009, 10825), List(2173, 4137), List(1447, 4033), List(2603, 3721), List(2453, 7160), List(1663, 2345), List(8882, 9826), List(6151, 6494), List(733, 1657), List(8847, 10771), List(2997, 6277), List(1192, 6143), List(4844, 10020), List(515, 10065), List(4649, 7300), List(2741, 5533), List(344, 7739), List(3592, 7591), List(466, 3006), List(5976, 10061), List(2093, 2279), List(967, 10347), List(3744, 8362), List(9623, 11342), List(4052, 6263), List(1846, 7283), List(2052, 4907), List(4476, 7530), List(969, 10393), List(1776, 9927), List(458, 4993), List(1045, 2309), List(983, 1431), List(5093, 6186), List(404, 2478), List(1775, 5538), List(1204, 6503), List(2105, 7924), List(5343, 10498), List(2074, 6359), List(3359, 8147), List(5126, 5545), List(3104, 6874), List(3133, 6114), List(1706, 11036), List(82, 3366), List(8077, 10314), List(7017, 8836), List(446, 3828), List(8568, 10551), List(4554, 6258), List(4125, 10282), List(1482, 9049), List(6117, 10242), List(9534, 10115), List(5736, 10550), List(2933, 11314), List(2607, 5667), List(1237, 11123), List(1369, 7078), List(1400, 6391), List(180, 4998), List(3829, 9358), List(8211, 10105), List(3667, 4112), List(4542, 8476), List(2860, 5709), List(1728, 4917), List(2410, 3968), List(5613, 10493), List(3717, 3825), List(1167, 3537), List(2003, 10225), List(5612, 10268), List(2312, 10980), List(4800, 8892), List(3093, 5129), List(1288, 4995), List(2339, 8639), List(2196, 6833), List(2067, 11149), List(9030, 11497), List(2368, 7879), List(3832, 5468), List(2612, 8239), List(1536, 7726), List(4552, 8009), List(6037, 6475), List(7155, 9843), List(1119, 8377), List(2734, 6135), List(2049, 6032), List(3482, 4308), List(555, 9732), List(8872, 11261), List(1023, 5636), List(1730, 7218), List(6931, 7102), List(7022, 7220), List(5566, 7240), List(2326, 8003), List(4475, 5695), List(8458, 9177), List(2224, 7726), List(3442, 8292), List(9548, 10497), List(1298, 4528), List(6950, 8283), List(976, 8449), List(1920, 4282), List(639, 9029), List(1138, 3492), List(6769, 9376), List(5363, 6507), List(6483, 6538), List(2058, 2711), List(1469, 8732), List(5017, 5870), List(8197, 10691), List(2521, 7316), List(4233, 5007), List(10342, 10893), List(3045, 10699), List(2952, 3338), List(653, 6833), List(3328, 6069), List(2607, 10473), List(8214, 11045), List(1267, 1808), List(7285, 8330), List(1115, 4420), List(122, 9826), List(6722, 9156), List(2302, 3421), List(7990, 9085), List(6257, 11271), List(4667, 8093), List(4168, 7214), List(1730, 6413), List(3419, 8816), List(5594, 8483), List(4122, 6465), List(77, 6269), List(3251, 7892), List(2509, 6501), List(5238, 6754), List(10250, 10903), List(8094, 9034), List(7257, 11543), List(2067, 9539), List(3581, 6491), List(3858, 5079), List(1806, 7697), List(335, 6685), List(3659, 4869), List(1776, 9740), List(5259, 11364), List(557, 2533), List(268, 8846), List(7489, 10738), List(1740, 7050), List(7896, 8618), List(8080, 10425), List(7436, 10323), List(5841, 7555), List(2823, 7199), List(6837, 9994), List(6527, 11266), List(5764, 9028), List(4024, 9289), List(1309, 6490), List(3437, 5557), List(5455, 10902), List(570, 9534), List(7781, 9984), List(2939, 5280), List(2870, 7395), List(10624, 11248), List(3644, 6035), List(70, 8430), List(3174, 3642), List(9501, 10919), List(2705, 8267), List(3457, 3930), List(6514, 9876), List(1469, 10505), List(3706, 4634), List(7876, 9440), List(861, 11588), List(4758, 9634), List(6246, 7617), List(10330, 11151), List(2567, 5300), List(273, 1969), List(4254, 11040), List(2348, 3684), List(9507, 11114), List(6174, 9434), List(891, 4233), List(7212, 10564), List(3528, 7149), List(6088, 6627), List(4273, 5805), List(909, 4812), List(8544, 11417), List(855, 7959), List(7417, 10215), List(3403, 5922), List(1933, 7764), List(6640, 10523), List(1812, 9689), List(6533, 9902), List(1676, 4166), List(8439, 10842), List(779, 5870), List(806, 3529), List(2516, 4557), List(6437, 7161), List(1774, 3920), List(1141, 4007), List(7940, 10340), List(4008, 9829), List(6491, 6643), List(7562, 10919), List(6991, 7720), List(9114, 10607), List(1524, 6374), List(2264, 6938), List(824, 5239), List(5932, 8342), List(3848, 9547), List(1365, 5563), List(1021, 5753), List(2605, 10614), List(5021, 6206), List(3188, 10440), List(4872, 6083), List(2168, 6826), List(5117, 9297), List(1812, 5501), List(1313, 1616), List(1197, 10301), List(569, 4316), List(5457, 5955), List(1560, 2247), List(1503, 1713), List(74, 9972), List(3087, 3568), List(5862, 7172), List(4859, 7726), List(67, 8801), List(1808, 4978), List(5502, 8357), List(275, 3088), List(2548, 8925), List(5473, 6838), List(10354, 10716), List(3133, 3162), List(9577, 11024), List(609, 8976), List(3843, 7644), List(386, 4208), List(8486, 9452), List(7541, 7732), List(8268, 11444), List(7239, 10777), List(7571, 9072), List(3588, 10508), List(436, 6954), List(3617, 4830), List(6972, 8743), List(6519, 7455), List(535, 6933), List(1996, 7257), List(199, 4732), List(911, 9664), List(5613, 5663), List(322, 9269), List(188, 6071), List(7, 7945), List(3272, 8178), List(5347, 9893), List(4760, 6915), List(1675, 4583), List(6993, 9216), List(6931, 8338), List(4754, 6346), List(1144, 8330), List(487, 3859), List(3704, 7808), List(1739, 9671), List(56, 11220), List(121, 5199), List(1920, 5518), List(8195, 8498), List(3821, 5360), List(7764, 9443), List(949, 2577), List(3094, 11447), List(10964, 11533), List(5272, 8379), List(6120, 10166), List(2978, 7300), List(4189, 7449), List(4399, 8225), List(7599, 10315), List(6292, 7425), List(851, 1638), List(9304, 10218), List(10324, 10799), List(6235, 10274), List(3701, 10519), List(2672, 5688), List(1927, 5534), List(6531, 6660), List(2083, 5293), List(6346, 11044), List(4471, 6007), List(7373, 8632), List(2946, 8142), List(1201, 1643), List(2885, 10118), List(5474, 8082), List(3623, 7603), List(4254, 4437), List(917, 5267), List(5280, 8216), List(6890, 7882), List(4459, 4842), List(1874, 6997), List(3842, 8815), List(2003, 3435), List(1378, 9799), List(1163, 5673), List(4929, 10618), List(2408, 4652), List(3239, 3826), List(2648, 3358), List(11077, 11544), List(4917, 6070), List(3774, 10751), List(2700, 6931), List(2364, 6982), List(549, 6160), List(4788, 6599), List(531, 4800), List(4605, 7646), List(7241, 7708), List(2107, 3384), List(6716, 9018), List(7769, 7827), List(4689, 6593), List(1695, 4379), List(3540, 11459), List(5191, 11126), List(2543, 9549), List(5746, 8904), List(5335, 7118), List(10097, 10338), List(763, 3995), List(3311, 8374), List(3441, 7666), List(6008, 9843), List(6515, 11337), List(7718, 10871), List(4423, 7009), List(4767, 5321), List(89, 1048), List(1317, 2302), List(4733, 9120), List(7477, 11159), List(5323, 5953), List(1842, 10791), List(4700, 6728), List(964, 10293), List(8274, 8470), List(796, 5232), List(2229, 3508), List(1265, 10406), List(5522, 5789), List(742, 1963), List(1765, 8477), List(5060, 7421), List(3311, 10602), List(4462, 9946), List(1542, 10125), List(797, 5053), List(2810, 5890), List(4991, 8755), List(6763, 10661), List(1190, 11171), List(5682, 10558), List(3958, 11352), List(1317, 4530), List(3314, 11250), List(323, 6301), List(1625, 1650), List(5694, 10568), List(1320, 7430), List(4773, 7714), List(3175, 4675), List(2551, 8231), List(1374, 7666), List(648, 5310), List(7339, 10420), List(3631, 8863), List(2141, 3637), List(4756, 9238), List(5568, 9116), List(1650, 6783), List(736, 4376), List(1911, 4114), List(7425, 8659), List(546, 9914), List(2079, 6142), List(5807, 8351), List(4028, 9438), List(4649, 5584), List(891, 4664), List(8640, 8927), List(8855, 10801), List(5770, 8469), List(9164, 11556), List(389, 9149), List(907, 8580), List(7574, 9132), List(1189, 7512), List(540, 650), List(1945, 9710), List(259, 6824), List(8187, 11052), List(7729, 9420), List(4893, 8546), List(1025, 3324), List(6976, 7870), List(3671, 4074), List(876, 9617), List(6344, 6647), List(4983, 8439), List(6691, 8640), List(7317, 7382), List(2171, 7959), List(3984, 5702), List(8125, 9770), List(6876, 7639), List(3699, 6472), List(1481, 10141), List(1770, 3828), List(4810, 8669), List(1355, 5306), List(4223, 9101), List(4875, 6812), List(3290, 11148), List(988, 3792), List(7077, 10554), List(236, 8883), List(833, 6887), List(292, 5028), List(1570, 6399), List(1700, 5691), List(8382, 10715), List(2592, 6272), List(5324, 6796), List(1349, 8093), List(3928, 11031), List(1550, 11035), List(2079, 10598), List(2141, 5060), List(6750, 11448), List(2990, 3285), List(6371, 8419), List(1987, 4593), List(8485, 9308), List(2231, 4953), List(2301, 5692), List(1742, 4008), List(3285, 6616), List(2385, 4639), List(634, 11157), List(2979, 6509), List(5501, 8913), List(2758, 4066), List(36, 96), List(4528, 5899), List(4130, 11488), List(4772, 8511), List(7723, 11028), List(4144, 5909), List(9780, 11383), List(1217, 4917), List(1148, 9284), List(1655, 8526), List(3358, 4219), List(7382, 7702), List(122, 9265), List(7529, 10381), List(583, 10414), List(6935, 9642), List(9359, 11511), List(5997, 11345), List(2332, 11370), List(5209, 10740), List(7203, 7363), List(2165, 9163), List(8290, 11418), List(3942, 7249), List(4154, 5442), List(852, 5327), List(4033, 7367), List(1163, 6909), List(827, 6960), List(7040, 9062), List(3363, 7572), List(601, 11343), List(252, 4019), List(5270, 11366), List(1445, 9224), List(1443, 6145), List(5486, 9678), List(7258, 7420), List(312, 8207), List(3359, 7049), List(5286, 8866), List(7746, 10392), List(2744, 7685), List(7990, 10752), List(3384, 8799), List(6912, 10166), List(3729, 5047), List(1580, 5103), List(5351, 10392), List(2724, 3276), List(4260, 5437), List(5507, 10905), List(5839, 6948), List(6052, 7995), List(2447, 10323), List(458, 7628), List(4534, 7137), List(7299, 10053), List(1751, 9307), List(3817, 8250), List(1047, 4990), List(3373, 10488), List(9849, 11472), List(4398, 7249), List(8756, 9854), List(1820, 10575), List(2930, 9918), List(1378, 10230), List(6976, 10716), List(6282, 6363), List(4074, 11474), List(1710, 3240), List(3545, 5468), List(749, 987), List(6000, 6650), List(2638, 6484), List(6153, 7646), List(2770, 5849), List(3886, 9144), List(4971, 10120), List(8429, 10748), List(1149, 7495), List(2510, 10621), List(4719, 8364), List(4774, 6573), List(10293, 11462), List(696, 6237), List(8691, 10933), List(5991, 9166), List(4024, 4540), List(3158, 5557), List(7602, 10188), List(7729, 11461), List(5088, 11055), List(638, 2445), List(478, 5196), List(1529, 9594), List(7193, 8448), List(4421, 11531), List(7729, 8428), List(167, 6243), List(3830, 10309), List(4303, 10721), List(502, 6721), List(779, 5309), List(2983, 9124), List(10985, 11581), List(1764, 9087), List(4890, 7256), List(4016, 4248), List(1526, 3257), List(2520, 4869), List(4471, 11244), List(1921, 6038), List(6840, 6990), List(6659, 8110), List(3533, 6531), List(4340, 5311), List(1265, 10837), List(1199, 6053), List(1228, 4539), List(7241, 10717), List(2439, 4688), List(2626, 10930), List(9785, 11190), List(5117, 5353), List(5898, 5918), List(2417, 10002), List(1882, 7214), List(1599, 3893), List(1964, 2328), List(4489, 11419), List(4491, 5830), List(2650, 6039), List(3393, 9530), List(1559, 4494), List(3995, 8632), List(7637, 11067), List(593, 10565), List(3239, 9063), List(8791, 10682), List(9775, 10852), List(1893, 6999), List(131, 3529), List(4581, 11358), List(2335, 7317), List(1580, 5721), List(3178, 8760), List(3541, 6368), List(1208, 3863), List(9232, 10051), List(1147, 5839), List(2050, 7333), List(2759, 6332), List(2669, 3406), List(2168, 11526), List(3852, 11333), List(4463, 9043), List(6858, 10174), List(1129, 4509), List(1096, 2117), List(10030, 10970), List(2588, 7389), List(3054, 5876), List(10870, 11361), List(918, 6891), List(4425, 6657), List(3272, 10650), List(6321, 6909), List(746, 10756), List(2124, 9325), List(3772, 9475), List(3021, 10250), List(2240, 10439), List(4008, 10691), List(5350, 9603), List(6912, 9979), List(1179, 4572), List(3140, 5219), List(9017, 11536), List(9643, 10278), List(2880, 3602), List(8736, 11294), List(1231, 10397), List(5030, 11318), List(8051, 11191), List(2074, 5424), List(4384, 10389), List(3262, 9531), List(81, 5239), List(2376, 5008), List(7857, 11325), List(2131, 9341), List(5892, 9778), List(1511, 3217), List(3116, 6703), List(5703, 10256), List(1785, 5671), List(3521, 3756), List(7667, 8168), List(1401, 1544), List(1158, 8956), List(7875, 8871), List(7479, 8871), List(4628, 6211), List(3858, 9942), List(6160, 10882), List(2865, 5522), List(2139, 2412), List(9024, 10771), List(5323, 10385), List(7219, 10637), List(5464, 9866), List(873, 8945), List(2599, 3336), List(5527, 7182), List(1392, 11230), List(4374, 5513), List(2875, 8869), List(6271, 8619), List(421, 4125), List(8553, 11536), List(8691, 10746), List(5869, 8050), List(7949, 10109), List(6366, 8856), List(2314, 3325), List(4339, 5677), List(6582, 9420), List(1037, 3310), List(4870, 9477), List(1599, 10927), List(4149, 9717), List(1413, 6041), List(1368, 2134), List(11369, 11384), List(233, 10840), List(531, 3889), List(6004, 6181), List(997, 3130), List(5019, 5786), List(3851, 8747), List(192, 7806), List(3693, 4374), List(269, 3330), List(528, 4722), List(5378, 10041), List(5634, 7752), List(3166, 11246), List(4713, 10590), List(7930, 8123), List(17, 11373), List(4131, 4950), List(3064, 4553), List(4626, 4929), List(5059, 8194), List(3161, 7869), List(7925, 11162), List(1072, 1560), List(1570, 5220), List(8075, 11106), List(3870, 9497), List(2590, 5047), List(1186, 1847), List(2684, 11098), List(1997, 7916), List(182, 2930), List(1938, 6555), List(61, 4855), List(904, 6298), List(6010, 6322), List(6538, 8693), List(6966, 7450), List(1687, 6155), List(206, 4455), List(586, 3922), List(615, 9578), List(1332, 7684), List(4594, 4990), List(5822, 6244), List(4604, 9842), List(4347, 7742), List(5935, 7841), List(608, 5374), List(2356, 2722), List(6619, 10725), List(260, 8074), List(664, 1519), List(706, 11544), List(5274, 11515), List(6024, 9761), List(2962, 3471), List(5766, 11223), List(2281, 9903), List(1291, 11416), List(97, 6740), List(6038, 6434), List(2467, 6094), List(1247, 8111), List(2240, 6869), List(2773, 3168), List(2768, 2824), List(123, 11344), List(4390, 7415), List(1310, 6181), List(6382, 7375), List(819, 9327), List(1153, 2033), List(6285, 10448), List(4516, 9971), List(3981, 6429), List(1085, 7002), List(9510, 11282), List(5568, 8555), List(1800, 2783), List(3598, 5910), List(4532, 6717), List(4033, 5838), List(3097, 8368), List(1854, 9435), List(3385, 8246), List(3003, 7952), List(8364, 9249), List(4723, 9668), List(1731, 1865), List(6925, 11158), List(970, 1952), List(10227, 10492), List(2617, 11299), List(3059, 5228), List(941, 6849), List(3031, 10350), List(8161, 9270), List(5733, 11409), List(155, 5159), List(4668, 5423), List(5072, 9448), List(2825, 8969), List(2336, 5772), List(1097, 4329), List(11324, 11478), List(5880, 8426), List(3822, 7846), List(5131, 10028), List(2044, 5371), List(6275, 11584), List(8429, 10374), List(4814, 4844), List(1044, 9579), List(5343, 8571), List(7361, 9752), List(3875, 7076), List(480, 4518), List(3532, 3704), List(1593, 7542), List(2076, 3724), List(1068, 4688), List(5576, 10270), List(1036, 5150), List(382, 10776), List(5668, 6826), List(2871, 11542), List(814, 10406), List(3871, 9936), List(3178, 5808), List(282, 10545), List(1705, 8133), List(2644, 11536), List(1775, 8872), List(534, 4350), List(5112, 11425), List(1155, 7666), List(2333, 11085), List(525, 854), List(4881, 9048), List(4540, 8755), List(8451, 9917), List(3793, 11184), List(1544, 9878), List(2265, 3222), List(608, 5992), List(7242, 8316), List(81, 6475), List(10848, 11094), List(4031, 7565), List(447, 4354), List(9760, 9820), List(4273, 7098), List(1692, 6743), List(816, 9324), List(7082, 9532), List(2326, 10264), List(6361, 7520), List(2565, 10280), List(4865, 10393), List(1350, 6979), List(5928, 7638), List(3275, 5717), List(1162, 7682), List(635, 10417), List(656, 4878), List(3930, 9361), List(10062, 10535), List(5332, 6072), List(8599, 9384), List(4022, 5917), List(3683, 6451), List(4488, 5158), List(123, 5546), List(155, 9965), List(2395, 7775), List(2106, 7672), List(6249, 8403), List(1340, 2477), List(5665, 9106), List(5787, 10035), List(647, 7394), List(3725, 8555), List(2075, 5326), List(4538, 4871), List(6093, 10492), List(1167, 6871), List(1506, 6337), List(4133, 7037), List(1954, 10634), List(4583, 7273), List(1730, 8674), List(2910, 3094), List(3524, 10901), List(1850, 3114), List(535, 9031), List(1347, 2493), List(10, 3925), List(7604, 10529), List(4429, 10189), List(9809, 11536), List(1256, 5758), List(2618, 5322), List(1646, 1779), List(3204, 9583), List(5282, 10815), List(862, 5080), List(7157, 10190), List(4569, 8664), List(935, 3838), List(1238, 1395), List(307, 4269), List(3670, 7289), List(453, 3340), List(1791, 11178), List(4341, 9968), List(669, 8068), List(3631, 11498), List(3483, 4430), List(4032, 5426), List(276, 1169), List(365, 11040), List(1423, 3777), List(3009, 8711), List(103, 2180), List(5772, 8548), List(3339, 11097), List(9378, 11326), List(7509, 9487), List(5140, 7325), List(971, 5373), List(3376, 7192), List(2562, 4989), List(2930, 9357), List(4673, 8613), List(2620, 8377), List(319, 11045), List(2117, 10008), List(4548, 6632), List(1879, 4178), List(4083, 8747), List(6602, 7470), List(4298, 10621), List(5612, 6731), List(4566, 4959), List(925, 4624), List(653, 7134), List(765, 959), List(2459, 10122), List(9334, 11377), List(988, 2694), List(3673, 7536), List(1364, 5425), List(9669, 11101), List(2857, 10168), List(2015, 10081), List(2287, 8325), List(6218, 10863), List(330, 3633), List(3573, 6551), List(2749, 10076), List(4526, 8162), List(1941, 3901), List(6762, 8482), List(2684, 8146), List(3969, 10688), List(7546, 8564), List(2718, 7730), List(6955, 11506), List(9063, 9197), List(7005, 10869), List(5114, 5299), List(198, 8782), List(2839, 9188), List(814, 6836), List(442, 11394), List(8257, 11019), List(1037, 6319), List(2181, 10908), List(2406, 9306), List(1845, 10959), List(1501, 4733), List(3741, 4041), List(5196, 10966), List(3453, 7546), List(4022, 9918), List(1339, 9286), List(837, 1720), List(5035, 9328), List(28, 6277), List(7022, 8944), List(2514, 2608), List(4231, 4807), List(1613, 5324), List(10890, 11133), List(980, 1247), List(2315, 2398), List(1640, 2983), List(4786, 8974), List(3869, 8548), List(4815, 7460), List(1942, 3321), List(641, 11580), List(5388, 6598), List(2903, 8957), List(485, 10286), List(414, 5158), List(2183, 6766), List(3989, 7502), List(2965, 10185), List(6067, 8734), List(5814, 9042), List(9678, 10358), List(2080, 2100), List(712, 9137), List(7307, 7369), List(345, 7623), List(803, 2085), List(4624, 6737), List(2198, 4041), List(2141, 3507), List(240, 2911), List(4971, 10982), List(7865, 9582), List(8331, 10321), List(2861, 6048), List(5404, 10083), List(9638, 10178), List(560, 7962), List(930, 7495), List(116, 4538), List(2413, 5134), List(1860, 10812), List(1452, 9297), List(4721, 7020), List(407, 3963), List(2375, 5781), List(67, 6524), List(7412, 10172), List(2655, 11433), List(2906, 8800), List(3336, 7630), List(2558, 11500), List(3293, 4550), List(5231, 8411), List(5909, 7343), List(2980, 9688), List(3756, 9909), List(5951, 10198), List(5438, 8889), List(7710, 11118), List(4697, 11106), List(4837, 6979), List(3169, 9560), List(3845, 5413), List(276, 7398), List(481, 8584), List(2696, 10279), List(757, 7701), List(4557, 5060), List(6585, 6929), List(4554, 4762), List(3112, 8652), List(8791, 11544), List(379, 10909), List(71, 6592), List(245, 1295), List(2645, 3524), List(2423, 4643), List(6251, 6302), List(5573, 7370), List(1932, 7789), List(4452, 10120), List(496, 8461), List(3856, 6302), List(3104, 10639), List(3412, 5130), List(4876, 9135), List(2479, 11341), List(6149, 9408), List(1326, 8918), List(772, 1162), List(708, 10037), List(5844, 8772), List(1196, 6593), List(260, 2707), List(6773, 9208), List(794, 1860), List(1671, 8549), List(916, 7707), List(4718, 8145), List(8694, 10456), List(7284, 10097), List(4744, 6333), List(1877, 9556), List(4145, 5250), List(6851, 10215), List(4836, 9305), List(3299, 9925), List(7040, 10087), List(1498, 3494), List(4036, 7185), List(6620, 11221), List(3211, 11209), List(116, 8189), List(6031, 10826), List(7156, 11201), List(7032, 9445), List(8427, 11401), List(6875, 9461), List(3509, 11051), List(3068, 7144), List(4067, 9100), List(3071, 5163), List(4650, 8926), List(1042, 5321), List(5219, 11298), List(2504, 8499), List(349, 10238), List(982, 4489), List(2615, 9269), List(4215, 6719), List(5307, 11118), List(2000, 9905), List(5357, 10481), List(842, 7138), List(7870, 9389), List(2050, 6235), List(7442, 9851), List(2306, 8864), List(9181, 9365), List(7063, 10986), List(186, 2488), List(910, 8935), List(3551, 7089), List(5500, 6221), List(9641, 10289), List(8713, 11182), List(1244, 5024), List(6872, 10637), List(1073, 9114), List(10916, 11362), List(548, 4008), List(3062, 3141), List(5496, 5698), List(6888, 8137), List(8202, 11417), List(4972, 10616), List(2531, 2724), List(8384, 10899), List(1383, 4809), List(1099, 5050), List(204, 3417), List(4891, 11216), List(2413, 8330), List(1327, 7129), List(2000, 5717), List(5368, 7583), List(7542, 9277), List(818, 8191), List(353, 10306), List(2244, 6427), List(6402, 10472), List(2448, 10394), List(3263, 9789), List(923, 8365), List(5216, 5657), List(10539, 11388), List(3627, 10251), List(3474, 3593), List(681, 5045), List(452, 3495), List(2353, 3337), List(512, 3546), List(5090, 10621), List(6246, 10309), List(1630, 6914), List(3526, 7166), List(2753, 10626), List(1194, 3351), List(4717, 8538), List(7012, 8307), List(2, 5137), List(258, 9264), List(3341, 4353), List(2773, 11251), List(5636, 7532), List(1801, 4702), List(8538, 10911), List(6790, 7147), List(1957, 5215), List(4104, 9250), List(6853, 10879), List(9962, 11353), List(960, 9721), List(4012, 9661), List(6068, 7162), List(925, 10666), List(3146, 10678), List(5013, 5274), List(283, 811), List(6876, 9550), List(7657, 10115), List(5164, 5443), List(2273, 11278), List(1460, 11175), List(8617, 9110), List(3140, 10082), List(8763, 8935), List(9723, 10963), List(2233, 4682), List(1259, 10892), List(1701, 11237), List(4898, 9646), List(1912, 5041), List(769, 10476), List(1910, 1962), List(1202, 6571), List(5016, 10806), List(4858, 7214), List(1599, 3763), List(682, 4091), List(9585, 11379), List(8747, 10280), List(6510, 10489), List(2002, 8317), List(7377, 10074), List(5355, 11403), List(1329, 4841), List(250, 1401), List(155, 3793), List(7557, 8729), List(1991, 3994), List(8926, 9464), List(6568, 10844), List(957, 6366), List(55, 1310), List(4104, 8795), List(3319, 10740), List(7206, 7344), List(1318, 6530), List(5151, 7035), List(1130, 7233), List(3313, 10925), List(9443, 11272), List(3068, 3924), List(3066, 7261), List(2873, 9872), List(7797, 11168), List(5240, 8955), List(779, 3219), List(2561, 5813), List(4840, 11465), List(2679, 10006), List(623, 6089), List(5793, 10824), List(2394, 10776), List(1058, 9400), List(1486, 7403), List(5338, 5706), List(3921, 4900), List(643, 2927), List(5691, 6733), List(4033, 9278), List(943, 6602), List(1206, 5484), List(2837, 3775), List(1627, 7234), List(1563, 9693), List(2215, 7404), List(6358, 8135), List(2493, 9600), List(2226, 5284), List(1875, 4303), List(283, 4462), List(1463, 3046), List(382, 8605), List(5604, 9366), List(4017, 10623), List(1210, 8235), List(9147, 9543), List(2858, 8385), List(1889, 7769), List(6064, 7257), List(3034, 9550), List(7612, 10209), List(3807, 8719), List(3652, 5398), List(2669, 8082), List(3099, 6912), List(4374, 8766), List(816, 3770), List(5116, 8622), List(3456, 4705), List(9037, 10472), List(6663, 7966), List(1095, 6568), List(2037, 7990), List(2813, 8211), List(6352, 9767), List(9461, 9487), List(3432, 3530), List(3425, 8775), List(1245, 3102), List(4194, 5573), List(3775, 10285), List(2588, 2616), List(287, 10946), List(1397, 3873), List(5218, 8525), List(340, 8328), List(1651, 4921), List(737, 4766), List(6903, 7022), List(5445, 11133), List(4597, 9346), List(3814, 5702), List(701, 8492), List(2392, 5306), List(9140, 10950), List(140, 3729), List(2134, 6768), List(2686, 5029), List(7486, 10985), List(542, 1265), List(1266, 4706), List(3251, 10665), List(203, 5182), List(4621, 7838), List(4242, 11225), List(7884, 7998), List(2686, 5379), List(6600, 6812), List(9523, 10314), List(5882, 9979), List(4481, 10460), List(2423, 3464), List(210, 8231), List(4917, 10990), List(839, 10654), List(1020, 7282), List(829, 3550), List(4452, 8941), List(8024, 10637), List(7225, 8712), List(3975, 8787), List(173, 1933), List(2729, 10337), List(7206, 10190), List(6588, 11309), List(1801, 10476), List(180, 8739), List(3948, 8095), List(9051, 10854), List(6458, 9738), List(7917, 9235), List(10124, 10315), List(7570, 8373), List(414, 7630), List(6367, 6587), List(4037, 10015), List(4925, 10477), List(4283, 7038), List(4954, 9717), List(3956, 10615), List(2340, 6970), List(7670, 8954), List(3267, 6606), List(3953, 10317), List(2554, 10871), List(5076, 7613), List(3173, 6944), List(616, 4731), List(7560, 8035), List(736, 3335), List(958, 11261), List(3535, 7710), List(369, 5204), List(4978, 7428), List(771, 8402), List(10289, 10890), List(3443, 8875), List(3572, 4559), List(337, 5666), List(1206, 1914), List(6612, 9400), List(643, 2740), List(1073, 8740), List(607, 831), List(1099, 1293), List(1322, 3028), List(3257, 8870), List(4716, 6115), List(4401, 7043), List(9103, 9458), List(6178, 9293), List(913, 7704), List(3972, 4651), List(4211, 4667), List(129, 6841), List(1409, 2623), List(533, 5204), List(999, 4445), List(4894, 7326), List(4507, 10852), List(4080, 11539), List(1212, 5492), List(7932, 9088), List(3481, 4040), List(2116, 3424), List(1026, 5487), List(2795, 3712), List(6246, 9585), List(4518, 11361), List(828, 5502), List(1304, 5431), List(481, 11056), List(2447, 5631), List(4245, 8758), List(487, 8592), List(7636, 8164), List(2176, 10995), List(3062, 8378), List(1823, 6935), List(1009, 10394), List(4849, 7152), List(2509, 9892), List(10348, 10665), List(4873, 5294), List(3093, 6910), List(266, 3116), List(543, 1704), List(7222, 9463), List(1401, 9871), List(6922, 9171), List(387, 10990), List(843, 5379), List(5170, 8671), List(7510, 10095), List(2059, 5118), List(5722, 6932), List(4882, 5006), List(1807, 8280), List(1468, 2398), List(4324, 4678), List(1120, 11514), List(8181, 11239), List(1588, 6664), List(2766, 10837), List(1025, 1828), List(467, 2998), List(9959, 10681), List(2392, 8152), List(4064, 6444), List(7398, 10978), List(10851, 11262), List(2291, 10729), List(2348, 4847), List(2695, 9092), List(2196, 7459), List(2015, 9333), List(1537, 2161), List(4212, 5561), List(1076, 4395), List(384, 9537), List(821, 10292), List(6614, 7082), List(2880, 11474), List(1132, 7710), List(170, 9019), List(10469, 11318), List(4084, 9698), List(7969, 9639), List(10992, 11093), List(3063, 7394), List(599, 8378), List(6486, 11219), List(564, 5159), List(6032, 7107), List(5225, 5321), List(7931, 10286), List(2205, 4138), List(2743, 11361), List(214, 11196), List(7189, 9649), List(1153, 2521), List(11108, 11426), List(1645, 2229), List(3608, 10119), List(6130, 6861), List(2269, 2810), List(3229, 4838), List(176, 7679), List(5188, 8822), List(5229, 5413), List(1425, 8312), List(8081, 10203), List(1517, 4114), List(3184, 4314), List(2256, 10869), List(5991, 10085), List(5683, 5768), List(3868, 4946), List(4425, 5803), List(8480, 10851), List(4579, 9653), List(761, 2266), List(5167, 9823), List(1039, 10878), List(814, 1900), List(5510, 10162), List(6475, 6872), List(1869, 4165), List(2557, 8703), List(586, 5833), List(2805, 11434), List(864, 8029), List(2010, 7029), List(360, 3800), List(3857, 10018), List(839, 9662), List(2606, 7060), List(2475, 8297), List(6282, 6827), List(9112, 10138), List(3478, 10372), List(9, 5421), List(853, 7466), List(1777, 3421), List(5388, 11461), List(3301, 8231), List(3808, 9725), List(1910, 6394), List(6987, 10938), List(69, 6603), List(306, 5792), List(3117, 9053), List(7807, 9953), List(1931, 10654), List(3482, 6707), List(2205, 8944), List(873, 11474), List(7998, 10652), List(3922, 11143), List(563, 10494), List(527, 1415), List(5917, 10620), List(8589, 10339), List(8362, 11114), List(1796, 7204), List(2238, 8303), List(1734, 4074), List(1639, 7220), List(2112, 3468), List(2545, 5979), List(1198, 3313), List(731, 4601), List(82, 10571), List(9856, 10016), List(2731, 8586), List(9339, 11217), List(7637, 7798), List(4419, 10794), List(9183, 9923), List(725, 999), List(3560, 8818), List(902, 2389), List(3587, 6477), List(380, 3216), List(10496, 10726), List(937, 2575), List(2609, 8781), List(96, 424), List(1548, 10084), List(5720, 9301), List(8342, 9657), List(1898, 10840), List(1234, 5198), List(1509, 7123), List(7737, 11011), List(3413, 11400), List(1645, 3197), List(2099, 7339), List(4072, 9501), List(4160, 9348), List(4771, 7058), List(7799, 8856), List(1639, 9798), List(2344, 4891), List(5391, 5985), List(697, 7595), List(4580, 7463), List(447, 1004), List(2811, 2822), List(980, 7883), List(2188, 3597), List(345, 7143), List(720, 6266), List(441, 6851), List(964, 8878), List(379, 5973), List(2829, 6811), List(3577, 11400), List(3265, 9593), List(4447, 10502), List(5756, 11186), List(8176, 9903), List(3298, 8952), List(9170, 11515), List(398, 10537), List(8899, 9709), List(5752, 10663), List(396, 3294), List(4635, 10903), List(9831, 10443), List(7615, 8523), List(1541, 11491), List(2205, 4301), List(5051, 5893), List(1793, 9460), List(788, 3525), List(1223, 2699), List(1945, 6067), List(1286, 7185), List(1749, 1991), List(2037, 9039), List(8467, 9678), List(4432, 10170), List(201, 3176), List(10187, 11394), List(2654, 7695), List(4858, 5848), List(9179, 10823), List(5, 6647), List(65, 6698), List(2460, 4419), List(2891, 4605), List(2490, 3507), List(867, 11523), List(5005, 5494), List(7399, 9406), List(9018, 10316), List(3906, 9723), List(6218, 11351), List(1170, 6047), List(4339, 8824), List(6271, 8733), List(1353, 10635), List(1472, 5631), List(3937, 8255), List(1726, 7433), List(5523, 7527), List(230, 10306), List(1133, 9548), List(534, 10717), List(9534, 11522), List(2132, 11504), List(3684, 11192), List(8969, 10023), List(536, 8511), List(8898, 11311), List(7716, 10402), List(11231, 11564), List(4168, 6848), List(4412, 7208), List(3538, 4200), List(4260, 9820), List(1125, 5873), List(281, 11375), List(1702, 8136), List(1630, 2783), List(4770, 4822), List(1767, 5498), List(2414, 2865), List(208, 8803), List(2598, 5426), List(6209, 6296), List(10100, 10189), List(3037, 9637), List(296, 7869), List(7168, 8853), List(255, 1452), List(2909, 10391), List(1133, 8743), List(197, 11273), List(2867, 10165), List(4618, 7784), List(623, 6951), List(1965, 5863), List(0, 3562), List(1438, 6346), List(595, 4903), List(156, 8239), List(1801, 3954), List(10512, 11072), List(5691, 7245), List(6570, 8345), List(5629, 6367), List(1585, 9025), List(1117, 7459), List(5881, 10752), List(1620, 11463), List(10266, 11016), List(2446, 4631), List(806, 2090), List(3357, 10150), List(9771, 10256), List(363, 7936), List(5530, 6738), List(1610, 7742), List(4103, 5244), List(82, 6196), List(1888, 2768), List(7020, 11183), List(6618, 10614), List(1578, 11587), List(3899, 10325), List(1124, 3311), List(6938, 8525), List(3708, 9976), List(4150, 11075), List(6041, 10229), List(4319, 5434), List(119, 4169), List(3701, 7307), List(1675, 6982), List(307, 7603), List(7244, 8982), List(1514, 9508), List(7092, 9342), List(4917, 10429), List(327, 1839), List(3857, 4033), List(4196, 4253), List(2415, 8677), List(2948, 4976), List(3732, 9222), List(709, 1352), List(330, 4739), List(8579, 11237), List(2319, 8565), List(6359, 8417), List(8138, 10713), List(7047, 9168), List(225, 7547), List(598, 3591), List(6169, 9424), List(3830, 10854), List(7562, 10553), List(9032, 11340), List(2267, 10253), List(249, 2656), List(3038, 3714), List(2760, 7153), List(8243, 10133), List(2013, 6172), List(209, 8892), List(582, 5690), List(1760, 9109), List(8637, 11191), List(7016, 8700), List(4683, 6195), List(3434, 4064), List(1477, 6542), List(1487, 7230), List(5702, 8803), List(2252, 6538), List(660, 9703), List(1969, 9633), List(4233, 7837), List(1970, 6825), List(2030, 6876), List(5535, 7350), List(3019, 8144), List(7931, 11335), List(5792, 7915), List(904, 7030), List(1339, 6204), List(191, 4879), List(4580, 9049), List(1485, 9412), List(5155, 7479), List(2035, 6846), List(1959, 2098), List(3879, 6908), List(5036, 9450), List(4131, 11293), List(222, 6070), List(605, 11470), List(4187, 8192), List(3283, 8725), List(2753, 9691), List(6765, 7495), List(6015, 6997), List(3188, 3203), List(3967, 9357), List(2193, 10788), List(2310, 11373), List(5230, 8942), List(4243, 7720), List(6228, 10673), List(60, 1174), List(7310, 7968), List(9718, 10058), List(2705, 8869), List(8743, 9627), List(1052, 5342), List(4935, 5210), List(5998, 8117), List(5055, 9476), List(1825, 10927), List(3198, 9152), List(1235, 1262), List(6377, 10365), List(3960, 4779), List(6425, 7403), List(5371, 11375), List(3191, 11364), List(6897, 9842), List(329, 9269), List(5742, 6592), List(6521, 10494), List(8818, 11090), List(2839, 10912), List(5927, 9755), List(5366, 7998), List(230, 8509), List(5505, 10062), List(371, 1574), List(2994, 4784), List(650, 10034), List(901, 985), List(4641, 11125), List(4039, 6361), List(3014, 8819), List(7547, 9735), List(8670, 9283), List(4322, 5868), List(1581, 7510), List(366, 4209), List(101, 9418), List(16, 6836), List(3025, 9358), List(4752, 8081), List(2189, 2670), List(8790, 11270), List(1030, 9100), List(6790, 10668), List(4020, 7408), List(3956, 9867), List(4825, 6115), List(4114, 7043), List(2397, 2592), List(3494, 11499), List(1161, 4830), List(774, 8356), List(2486, 6047), List(903, 4040), List(999, 10918), List(1558, 8438), List(2957, 7130), List(1004, 11262), List(8753, 9109), List(8653, 11157), List(747, 9162), List(7342, 8148), List(6977, 7461), List(1022, 11087), List(318, 354), List(1744, 8039), List(5219, 5638), List(518, 6831), List(6722, 9571), List(2357, 9959), List(4636, 9195), List(8516, 8792), List(5092, 7748), List(1976, 10267), List(703, 3578), List(5209, 8333), List(5566, 6850), List(1670, 5996), List(954, 10744), List(2191, 11360), List(7989, 9248), List(10105, 10964), List(9009, 9829), List(4062, 6829), List(5115, 5638), List(6412, 10469), List(6360, 10279), List(9803, 9875), List(7, 11580), List(6602, 9812), List(3403, 11330), List(2627, 4693), List(4769, 7630), List(745, 1895), List(2864, 10298), List(8339, 9253), List(3953, 8764), List(2356, 9333), List(644, 5226), List(3735, 10756), List(8587, 9732), List(1803, 4431), List(10168, 10912), List(6159, 6209), List(4354, 6075), List(2264, 8963), List(1791, 6299), List(299, 10826), List(6118, 9591), List(4965, 7168), List(4621, 7358), List(7590, 11205), List(1269, 1464), List(4438, 8405), List(6401, 9125), List(7958, 9911), List(3166, 10986), List(11041, 11416), List(3883, 6840), List(4313, 6424), List(8234, 8274), List(1130, 1305), List(1821, 5360), List(8914, 11416), List(98, 6756), List(6761, 9818), List(1718, 11274), List(1816, 8399), List(3547, 10304), List(9087, 9654), List(256, 11479), List(8367, 10496), List(7467, 8519), List(8432, 10891), List(1467, 10874), List(3986, 10351), List(863, 5283), List(1212, 10355), List(2110, 11505), List(2829, 4022), List(2204, 3970), List(932, 10715), List(7065, 11333), List(3940, 9602), List(7620, 9111), List(1638, 3000), List(4119, 5403), List(1048, 11048), List(3578, 11064), List(2998, 8503), List(5725, 7929), List(10772, 11510), List(2773, 9324), List(968, 2774), List(6028, 8869), List(2769, 5418), List(10389, 10991), List(5033, 7786), List(308, 3667), List(7897, 9927), List(457, 7173), List(3416, 6168), List(4852, 8125), List(5468, 11097), List(5034, 7607), List(3527, 6938), List(4316, 5112), List(3277, 6763), List(890, 9657), List(6045, 6190), List(4434, 9305), List(570, 1573), List(2068, 10824), List(3250, 5317), List(3435, 10732), List(231, 4736), List(695, 9566), List(4614, 11343), List(6140, 9810), List(1775, 6034), List(129, 10094), List(7901, 9645), List(3481, 3910), List(736, 8816), List(7957, 9954), List(8676, 9641), List(835, 1625), List(7397, 8799), List(6743, 10261), List(9699, 9739), List(1648, 11527), List(1982, 10649), List(7622, 11361), List(4592, 9490), List(10946, 11043), List(1326, 2616), List(109, 4904), List(7273, 10426), List(2256, 5933), List(6485, 8690), List(5616, 6026), List(4279, 8212), List(3850, 11482), List(5717, 6832), List(5490, 7607), List(6460, 10323), List(240, 11214), List(10106, 11002), List(1668, 9146), List(2038, 3761), List(4001, 5235), List(8011, 10540), List(7290, 10780), List(4031, 11493), List(6261, 10113), List(6431, 8804), List(8157, 10365), List(4112, 6005), List(3157, 4321), List(6049, 6258), List(686, 1882), List(5016, 11107), List(3994, 5195), List(6535, 8403), List(2997, 9701), List(1562, 10598), List(122, 8899), List(5046, 10195), List(4975, 11483), List(2932, 8525), List(5229, 9121), List(1018, 6943), List(2325, 6800), List(7089, 10093), List(3532, 8705), List(1923, 6231), List(5627, 10298), List(6735, 8060), List(3316, 7360), List(5838, 10518), List(7698, 8107), List(7293, 10273), List(3556, 3814), List(10472, 11486), List(763, 6020), List(6174, 7434), List(1695, 6754), List(4403, 6130), List(6574, 8307), List(1772, 7940), List(1682, 11430), List(306, 856), List(2833, 10774), List(2967, 7556), List(3402, 6730), List(1052, 8001), List(7970, 10084), List(4813, 6186), List(7431, 9052), List(280, 2237), List(1699, 8751), List(1541, 1749), List(1821, 4018), List(4128, 9466), List(8885, 11588), List(2753, 8162), List(800, 8130), List(4626, 6710), List(3729, 8414), List(5802, 7804), List(3374, 3527), List(7131, 11392), List(10178, 10234), List(904, 11112), List(9746, 10577), List(5859, 7557), List(914, 5384), List(6707, 9344), List(5671, 7506), List(1652, 2115), List(4519, 8691), List(8867, 10608), List(697, 10230), List(1186, 7011), List(2705, 10723), List(2454, 6940), List(1342, 5272), List(225, 4758), List(3888, 8070), List(1527, 10687), List(3757, 9307), List(4657, 11284), List(6930, 7322), List(429, 7971), List(4474, 5915), List(2667, 4954), List(1731, 7484), List(7618, 8073), List(2265, 10801), List(5446, 8677), List(6213, 11064), List(1287, 6689), List(1163, 4933), List(2668, 4775), List(4531, 9051), List(670, 11416), List(637, 9024), List(2622, 7813), List(1378, 6026), List(5335, 7533), List(4086, 5402), List(4953, 7239), List(5140, 7065), List(1967, 9050), List(4357, 9837), List(3056, 7516), List(2438, 8635), List(3276, 9734), List(970, 11304), List(3186, 6808), List(7821, 8001), List(851, 3476), List(5954, 6989), List(1780, 3939), List(8932, 10198), List(9090, 11538), List(5826, 7743), List(2371, 4380), List(7278, 10233), List(2400, 9282), List(3546, 4118), List(3583, 7383), List(5835, 8236), List(6381, 8904), List(4812, 11521), List(2668, 7003), List(4872, 11572), List(2448, 9703), List(7148, 11291), List(389, 570), List(8330, 9167), List(3003, 6700), List(4689, 9586), List(702, 8614), List(9317, 9608), List(105, 10610), List(2686, 8713), List(9910, 10122), List(634, 7921), List(1995, 3877), List(4044, 10787), List(2464, 9051), List(5671, 5896), List(5332, 6430), List(998, 1967), List(1989, 10478), List(659, 2501), List(1555, 6988), List(684, 10667), List(2960, 10386), List(2652, 6069), List(369, 2927), List(434, 3322), List(4484, 8026), List(906, 5761), List(4569, 9827), List(550, 4436), List(3351, 7009), List(204, 3799), List(52, 10575), List(1449, 9194), List(2827, 7763), List(4164, 5577), List(3978, 6353), List(8240, 9250), List(2075, 5684), List(58, 7357), List(10166, 10842), List(1570, 4236), List(1102, 1916), List(990, 1675), List(5802, 8422), List(669, 6198), List(750, 1464), List(440, 484), List(5520, 8709), List(2779, 10351), List(4302, 5137), List(3935, 10039), List(3312, 6650), List(7016, 10717), List(7202, 7689), List(5177, 5337), List(4082, 6302), List(3079, 7610), List(2781, 3981), List(164, 8133), List(214, 1080), List(6442, 11384), List(1435, 8333), List(4508, 8396), List(899, 5320), List(1611, 3082), List(957, 8708), List(6781, 7817), List(1774, 4766), List(3474, 7358), List(3785, 8940), List(395, 6726), List(6248, 10737), List(2599, 4125), List(6220, 6437), List(3358, 6594), List(142, 5499), List(5496, 5625), List(4799, 8171), List(547, 6716), List(4463, 8222), List(3121, 10064), List(4556, 5003), List(3771, 6948), List(5734, 8422), List(1284, 10392), List(2564, 7672), List(1432, 6880), List(4419, 5671), List(5387, 7560), List(7329, 8157), List(817, 5264), List(8721, 10596), List(3518, 9885), List(7969, 8517), List(2564, 11055), List(6886, 7587), List(1502, 8750), List(9893, 10036), List(8062, 8681), List(2616, 8212), List(11076, 11547), List(8866, 9415), List(4229, 11559), List(4472, 4901), List(5123, 9557), List(3352, 8253), List(2877, 5516), List(1736, 4608), List(2758, 7514), List(7986, 9975), List(3339, 7267), List(3836, 8073), List(7483, 10852), List(1566, 11552), List(6055, 6504), List(8264, 11417), List(5027, 9445), List(9652, 9950), List(1405, 7662), List(5756, 9096), List(9649, 9652), List(1810, 2463), List(8375, 9154), List(3767, 5620), List(3084, 6344), List(11041, 11310), List(2894, 6220), List(4451, 6252), List(9270, 10006), List(767, 10007), List(705, 9129), List(872, 1133), List(5070, 8741), List(1737, 6307), List(3362, 11169), List(4135, 5457), List(1234, 5686), List(1483, 8642), List(743, 8832), List(5223, 5950), List(2375, 3561), List(5437, 9851), List(9229, 9601), List(4589, 11447), List(4656, 7007), List(6383, 11422), List(7694, 8015), List(8191, 8821), List(4927, 5026), List(1219, 4223), List(4615, 9635), List(5492, 10662), List(538, 10655), List(1735, 5456), List(747, 1380), List(271, 11250), List(1018, 6569), List(8022, 9924), List(5904, 11545), List(2098, 7201), List(5587, 9394), List(2383, 3398), List(2350, 7422), List(8726, 11208), List(4407, 6279), List(16, 7698), List(2962, 6488), List(1729, 8243), List(8637, 9638), List(796, 8038), List(2635, 7002), List(4710, 9471), List(130, 1569), List(2590, 7259), List(3985, 9215), List(1779, 4573), List(3649, 10020), List(4263, 4995), List(1465, 6103), List(3870, 8676), List(3275, 5083), List(6876, 7517), List(620, 8751), List(5358, 6659), List(2304, 4394), List(11111, 11220), List(9020, 10500), List(653, 8110), List(7091, 8610), List(364, 1591), List(5503, 6259), List(1242, 11134), List(10287, 10958), List(6925, 10792), List(3685, 5139), List(1109, 5128), List(636, 2464), List(4326, 9077), List(5754, 7009), List(1050, 7931), List(1229, 3732), List(7154, 9309), List(4403, 11017), List(7863, 8308), List(2598, 6719), List(325, 4265), List(734, 9388), List(9851, 10778), List(9450, 10434), List(2100, 6442), List(1322, 9558), List(4550, 7280), List(7478, 11126), List(3190, 7762), List(6493, 10731), List(4970, 9529), List(5949, 10109), List(5799, 6378), List(4328, 5366), List(3216, 5950), List(5793, 6563), List(1997, 9323), List(2685, 3281), List(3638, 8302), List(3732, 7937), List(2310, 6787), List(3134, 9708), List(278, 1012), List(2697, 9707), List(4481, 8964), List(176, 2987), List(1788, 7644), List(1041, 5909), List(7276, 10968), List(3790, 8292), List(3282, 9579), List(119, 10000), List(7211, 9038), List(7889, 8724), List(7359, 9690), List(4962, 5480), List(5982, 8313), List(882, 8481), List(4208, 9744), List(3345, 10278), List(9694, 9989), List(1043, 2922), List(8598, 10352), List(4398, 9087), List(6144, 9772), List(2369, 6993), List(3831, 10171), List(4359, 6126), List(9071, 9983), List(4080, 7465), List(6074, 7498), List(5573, 9956), List(4983, 6707), List(10060, 10497), List(748, 8639), List(8833, 9845), List(9583, 11097), List(8557, 10701), List(2764, 6741), List(116, 5164), List(249, 1721), List(1178, 4436), List(2303, 8975), List(8516, 11077), List(553, 2132), List(3755, 5049), List(2724, 4309), List(4936, 8739), List(2637, 11480), List(2785, 7968), List(1114, 10278), List(2105, 8209), List(3509, 4993), List(3034, 8672), List(3476, 9771), List(1757, 10909), List(2660, 5987), List(3501, 10767), List(6357, 6631), List(725, 9944), List(1032, 10626), List(879, 962), List(2023, 5551), List(1028, 10884), List(1468, 11156), List(3137, 5013), List(9279, 9881), List(278, 8851), List(5603, 11245), List(7535, 10400), List(10709, 11269), List(1870, 4905), List(3131, 10833), List(6959, 10240), List(1572, 7722), List(833, 10766), List(1110, 9354), List(9919, 10591), List(2479, 3673), List(362, 8148), List(3932, 9017), List(8476, 10846), List(2569, 9982), List(2658, 8519), List(1223, 9416), List(5932, 6586), List(7978, 9815), List(6383, 7047), List(1257, 9000), List(6978, 10640), List(8514, 10549), List(8502, 9034), List(3932, 5984), List(7920, 9810), List(2271, 4848), List(4176, 5563), List(10387, 11002), List(5160, 6487), List(5414, 7535), List(2420, 5321), List(7086, 8079), List(7032, 11226), List(3047, 11081), List(1759, 3360), List(4979, 10990), List(5910, 8116), List(922, 11531), List(17, 2794), List(7988, 10102), List(555, 3601), List(646, 3719), List(2726, 5778), List(11031, 11454), List(2700, 4557), List(1454, 6107), List(7230, 7454), List(1698, 8719), List(2138, 8991), List(1450, 2201), List(2214, 7323), List(1756, 5691), List(5713, 10204), List(606, 3539), List(4964, 6144), List(3873, 4599), List(2006, 10003), List(3150, 8176), List(1720, 3001), List(1847, 9192), List(3717, 9721), List(374, 7353), List(4804, 5108), List(3302, 4783), List(7727, 8610), List(1091, 3961), List(2987, 3459), List(745, 2570), List(6825, 9970), List(1902, 5866), List(4880, 9075), List(2306, 4229), List(8929, 10144), List(3446, 4912), List(6663, 8861), List(2516, 10640), List(336, 4967), List(7686, 8959), List(5320, 6314), List(4697, 7089), List(4542, 10184), List(10201, 10946), List(7395, 11412), List(3561, 11436), List(3788, 4245), List(1293, 10080), List(10162, 11368), List(3161, 8284), List(3643, 7304), List(1996, 4346), List(7942, 8548), List(5462, 8999), List(2714, 10224), List(1188, 9505), List(1594, 3777), List(3743, 7885), List(6953, 11417), List(1774, 2432), List(6784, 9164), List(8062, 10535), List(1343, 3377), List(7103, 11361), List(3051, 3578), List(5726, 9230), List(6745, 6957), List(939, 8397), List(1082, 10957), List(1954, 10886), List(4447, 8388), List(1897, 8100), List(5720, 9415), List(7707, 9031), List(236, 6964), List(2288, 6975), List(6305, 9287), List(9976, 10962), List(3400, 9774), List(1452, 3670), List(6185, 7650), List(1342, 5784), List(5423, 5637), List(8578, 8708), List(8478, 10756), List(2726, 7551), List(7788, 10309), List(2674, 6637), List(3804, 7356), List(153, 671), List(2551, 7735), List(7623, 8929), List(1315, 3557), List(4073, 9466), List(5445, 9718), List(1155, 9691), List(2607, 5765), List(1741, 2618), List(1326, 10512), List(560, 4563), List(2234, 5934), List(4448, 4775), List(5148, 5186), List(7279, 8688), List(2283, 5826), List(4522, 5663), List(5273, 7517), List(6795, 11500), List(2206, 3512), List(946, 7608), List(10875, 11128), List(3241, 7377), List(1565, 10097), List(552, 3547), List(6076, 8780), List(2517, 11483), List(5497, 9103), List(242, 1786), List(902, 4276), List(4823, 6126), List(4658, 8533), List(6380, 6912), List(3386, 11114), List(6619, 9180), List(2758, 4375), List(1331, 10051), List(6131, 8837), List(6238, 9488), List(665, 7746), List(6117, 11413), List(1009, 1140), List(5059, 5844), List(5520, 6993), List(5845, 6753), List(1447, 11165), List(5860, 7061), List(2035, 4919), List(4800, 7835), List(3473, 9955), List(3686, 11002), List(9546, 9768), List(4082, 4586), List(5238, 10690), List(2978, 9195), List(7675, 11266), List(7639, 9357), List(8683, 10332), List(185, 4261), List(4235, 4801), List(8032, 9059), List(9162, 9778), List(4274, 8139), List(7849, 10106), List(4862, 9063), List(712, 745), List(469, 987), List(904, 915), List(5387, 10382), List(6934, 10480), List(4043, 11397), List(342, 4595), List(8308, 11559), List(9180, 11488), List(949, 9733), List(4823, 5321), List(1700, 7423), List(1693, 10416), List(49, 4723), List(5776, 10315), List(1853, 4632), List(6149, 6359), List(2405, 5145), List(2188, 7362), List(5, 1418), List(7661, 8900), List(2843, 8754), List(4670, 4705), List(5896, 11548), List(1342, 9785), List(2556, 8697), List(94, 4092), List(226, 5709), List(9190, 11021), List(5114, 11512), List(8185, 11502), List(10156, 10585), List(1775, 5099), List(1966, 2415), List(1297, 2845), List(3726, 9222), List(6038, 10850), List(716, 6475), List(5537, 6892), List(1796, 2943), List(5430, 6271), List(5567, 8232), List(4514, 10177), List(3196, 9407), List(7836, 10944), List(2952, 6014), List(8325, 11108), List(2664, 9519), List(7182, 9373), List(2540, 4757), List(2598, 4735), List(9869, 10154), List(6367, 6945), List(4516, 6466), List(2211, 10890), List(9802, 11561), List(1474, 10597), List(2486, 7153), List(5037, 8797), List(1867, 10299), List(2280, 6496), List(2405, 11106), List(1055, 1753), List(2548, 7250), List(2734, 3468), List(7529, 9080), List(1274, 6752), List(3269, 3977), List(1927, 5819), List(5323, 11231), List(4253, 11317), List(216, 4566), List(10269, 10596), List(1608, 2841), List(2327, 5938), List(2105, 3647), List(637, 6316), List(4563, 8510), List(1380, 4145), List(555, 7415), List(168, 10941), List(1269, 6758), List(1164, 8462), List(2976, 3351), List(293, 3473), List(3775, 10911), List(2567, 8781), List(444, 2888), List(108, 10109), List(792, 3571), List(4993, 8444), List(2968, 6092), List(850, 7713), List(4705, 11195), List(1314, 6127), List(4144, 7186), List(5040, 7509), List(1965, 10783), List(5255, 9383), List(3321, 6395), List(5879, 11462), List(6624, 10118), List(2240, 6292), List(6009, 10754), List(2836, 6323), List(1895, 8509), List(675, 11280), List(6721, 7018), List(10045, 10864), List(618, 4330), List(2015, 7113), List(4687, 6832), List(2789, 5753), List(9053, 9298), List(1789, 4326), List(2500, 9033), List(258, 8898), List(1693, 8001), List(1412, 7759), List(4710, 4722), List(937, 2770), List(4744, 9968), List(4245, 6083), List(795, 10234), List(3498, 11518), List(4083, 8007), List(6015, 7916), List(225, 3473), List(5067, 5144), List(466, 3535), List(6467, 7444), List(834, 1487), List(8999, 11290), List(427, 6990), List(2235, 11559), List(1984, 3612), List(1358, 7499), List(7620, 10217), List(2597, 8161), List(975, 1318), List(8336, 8852), List(4028, 10528), List(4181, 10770), List(3718, 9548), List(1420, 10979), List(820, 7042), List(5214, 11556), List(907, 3254), List(197, 11200), List(5359, 5494), List(2114, 5159), List(7294, 11336), List(10955, 11569), List(2371, 6478), List(181, 5779), List(253, 8099), List(5628, 9102), List(2262, 5030), List(3072, 10497), List(8035, 10967), List(3913, 4697), List(4235, 10575), List(2704, 9512), List(23, 5543), List(3787, 9661), List(2045, 6843), List(4500, 8779), List(290, 6072), List(2695, 8645), List(699, 11195), List(6829, 11542), List(5707, 10684), List(757, 8921), List(260, 1699), List(9098, 10090), List(1541, 9003), List(7697, 10571), List(8129, 10228), List(1324, 4050), List(2064, 8024), List(3648, 6469), List(3935, 9909), List(2997, 5196), List(566, 2156), List(543, 6868), List(2687, 4216), List(2150, 7017), List(5049, 5961), List(8034, 10341), List(3146, 8702), List(2619, 5775), List(5630, 9124), List(8281, 10218), List(819, 5985), List(7591, 9771), List(2853, 5447), List(4882, 10170), List(7879, 9649), List(8985, 11502), List(4360, 5335), List(872, 5996), List(1335, 1556), List(1486, 7387), List(9946, 10722), List(1106, 1504), List(3253, 4785), List(6434, 6825), List(10386, 10994), List(4128, 9149), List(1110, 2377), List(389, 1863), List(237, 2223), List(4215, 5361), List(4371, 11536), List(846, 3270), List(603, 10682), List(4395, 10432), List(4126, 5289), List(1781, 7685), List(1805, 5827), List(4050, 6233), List(7004, 9048), List(6670, 9926), List(3373, 10155), List(10193, 10949), List(3837, 8569), List(5850, 9406), List(2338, 5509), List(3124, 6418), List(2809, 5094), List(2704, 7552), List(1057, 10256), List(591, 2347), List(6821, 7062), List(7065, 9674), List(3271, 6845), List(2696, 6156), List(953, 6900), List(896, 6366), List(3544, 7943), List(7957, 10255), List(7931, 9034), List(7251, 9275), List(1826, 4021), List(2383, 11294), List(1977, 4190), List(9948, 10744), List(2637, 5926), List(11, 8834), List(1477, 3086), List(2414, 9826), List(1442, 10447), List(477, 905), List(8083, 9778), List(4781, 9663), List(137, 10636), List(4094, 5727), List(2403, 3251), List(658, 3168), List(508, 5853), List(2842, 9714), List(478, 1480), List(1307, 6997), List(1927, 10088), List(1247, 9575), List(6259, 7308), List(443, 8060), List(2728, 11305), List(1088, 2348), List(6196, 6205), List(2118, 10033), List(583, 900), List(7403, 8864), List(1233, 9118), List(7311, 9275), List(4090, 7836), List(4279, 10741), List(2417, 9319), List(5901, 11168), List(51, 10838), List(3007, 6906), List(10, 4421), List(8146, 9322), List(82, 325), List(2630, 3950), List(4899, 8914), List(71, 1664), List(10163, 11032), List(1158, 3467), List(9036, 9830), List(638, 957), List(9915, 10930), List(7545, 10795), List(9405, 11390), List(9381, 10996), List(5738, 10588), List(3152, 9889), List(6442, 8489), List(7047, 10518), List(967, 3118), List(1135, 11562), List(3649, 4279), List(1975, 2908), List(2207, 8169), List(3521, 11449), List(4044, 4054), List(4427, 10208), List(1436, 5259), List(4915, 6764), List(2332, 10500), List(3380, 8211), List(2325, 9329), List(8923, 11242), List(6841, 8356), List(5134, 9511), List(523, 6460), List(1142, 1779), List(9013, 11135), List(111, 1039), List(5840, 7458), List(1912, 3683), List(363, 7676), List(2323, 3217), List(456, 7867), List(1199, 1532), List(1722, 7723), List(2379, 5778), List(950, 8375), List(4434, 10224), List(6762, 10133), List(2898, 8036), List(749, 7338), List(6177, 6447), List(2216, 5198), List(1039, 4633), List(1591, 11562), List(6701, 9076), List(99, 3257), List(4605, 8012), List(5163, 10225), List(1835, 2473), List(3543, 9090), List(3388, 5015), List(4198, 10482), List(6032, 9856), List(5626, 8414), List(5841, 6124), List(1789, 11173), List(7434, 8819), List(5686, 9219), List(3237, 11235), List(4669, 5903), List(5862, 10384), List(2814, 4901), List(7423, 11289), List(2566, 4799), List(670, 5301), List(3650, 5173), List(1905, 9254), List(2244, 2304), List(3644, 4604), List(2123, 4229), List(1780, 7273), List(1009, 8150), List(4612, 4995), List(5453, 5611), List(7383, 11109), List(410, 651), List(186, 943), List(3200, 10979), List(1307, 10998), List(1873, 7437), List(1990, 8022), List(6348, 6463), List(491, 11378), List(1088, 2966), List(4787, 6689), List(215, 3566), List(2419, 7381), List(1171, 1688), List(391, 11147), List(1170, 8633), List(275, 7000), List(430, 4659), List(6433, 9395), List(8513, 11454), List(27, 6898), List(10003, 10264), List(6594, 10252), List(1428, 3007), List(2141, 8541), List(2700, 10225), List(6559, 11197), List(4188, 8208), List(4563, 7331), List(8945, 11084), List(9125, 9739), List(7485, 11362), List(2530, 4337), List(2494, 8844), List(539, 1569), List(6550, 10330), List(662, 9516), List(2181, 7566), List(5660, 9071), List(596, 5486), List(219, 2530), List(10700, 11481), List(7687, 10715), List(5440, 10236), List(5192, 10134), List(7649, 7979), List(6752, 10437), List(4978, 5452), List(2330, 3875), List(5093, 9374), List(1542, 6303), List(1619, 8967), List(1514, 10671), List(4877, 8029), List(1582, 2669), List(2454, 9014), List(701, 4906), List(2910, 9819), List(2503, 8906), List(3783, 6186), List(6107, 8605), List(73, 2304), List(4744, 5406), List(7020, 11541), List(327, 9768), List(1325, 8116), List(4246, 5129), List(7396, 7856), List(1044, 2212), List(349, 667), List(6881, 11382), List(6449, 9473), List(35, 2951), List(3675, 5313), List(2954, 8963), List(5863, 8595), List(1842, 9547), List(595, 1073), List(245, 2946), List(6786, 11495), List(1557, 9563), List(1252, 9681), List(3227, 7028), List(118, 5056), List(2291, 3142), List(341, 375), List(86, 5518), List(1889, 8989), List(1524, 10554), List(2290, 3671), List(6283, 7841), List(7988, 10777), List(3721, 7536), List(2132, 5714), List(5564, 11537), List(9502, 11112), List(10184, 10917), List(1811, 10210), List(4581, 6300), List(3645, 8830), List(405, 3177), List(9384, 9521), List(874, 6099), List(6634, 7667), List(221, 3999), List(56, 6406), List(3512, 6207), List(6256, 7492), List(3792, 8476), List(7030, 11050), List(3174, 9595), List(6699, 11445), List(8174, 9223), List(4727, 6475), List(4658, 8590), List(2891, 4776), List(4472, 5202), List(4759, 8642), List(6402, 10700), List(6247, 6625), List(9576, 11569), List(108, 2782), List(925, 2250), List(1140, 6376), List(5173, 6188), List(10348, 11267), List(1633, 6659), List(10311, 11385), List(6391, 10137), List(5670, 10377), List(2905, 7461), List(7175, 10219), List(1024, 8271), List(6161, 10614), List(8771, 9455), List(6570, 9321), List(4696, 7138), List(2294, 8246), List(556, 5924), List(2648, 3082), List(1300, 10771), List(6251, 9726), List(1265, 7552), List(1602, 3939), List(3231, 6291), List(1240, 2769), List(362, 9441), List(1200, 10540), List(2757, 4156), List(7083, 9475), List(4375, 7847), List(5268, 8653), List(6580, 8854), List(3770, 9201), List(1774, 5335), List(1472, 8380), List(94, 4149), List(1090, 1670), List(5386, 9813), List(1532, 2769), List(7158, 7555), List(1714, 8667), List(2677, 3796), List(629, 11074), List(7406, 8788), List(7497, 8152), List(1645, 2831), List(8835, 9574), List(7273, 9198), List(1584, 9725), List(796, 1573), List(5596, 7529), List(4911, 6672), List(10888, 10941), List(7992, 11514), List(4935, 5568), List(4162, 9028), List(1323, 10889), List(6173, 6786), List(1635, 2493), List(3866, 4721), List(9540, 11433), List(3064, 4033), List(3683, 5768), List(4117, 5471), List(3177, 4095), List(5818, 8665), List(987, 4150), List(685, 3031), List(2560, 8822), List(9111, 10919), List(1745, 6394), List(2356, 8268), List(360, 10818), List(5726, 8295), List(1089, 11193), List(8644, 11453), List(2818, 5855), List(5278, 7381), List(1166, 5963), List(7267, 7824), List(1086, 3725), List(580, 5839), List(7369, 11484), List(1728, 11301), List(10090, 11095), List(813, 1122), List(1093, 3391), List(2715, 4572), List(688, 5557), List(10, 6625), List(3747, 6668), List(7601, 9548), List(6255, 7484), List(2313, 4757), List(1902, 2971), List(1662, 9900), List(93, 5347), List(3768, 4512), List(662, 1303), List(2544, 3377), List(2244, 9501), List(2086, 2499), List(1678, 6646), List(4943, 7633), List(7936, 10376), List(5840, 9312), List(6472, 9000), List(421, 7256), List(3232, 4101), List(4027, 7782), List(543, 1769), List(5988, 8429), List(6423, 8357), List(4463, 10564), List(9406, 9658), List(1100, 10173), List(1762, 9326), List(9035, 11408), List(3309, 8670), List(1351, 7540), List(1559, 1827), List(189, 1621), List(7902, 9637), List(10742, 11384), List(9721, 11332), List(2741, 6119), List(10203, 11106), List(8527, 8908), List(4286, 5390), List(9526, 10864), List(1620, 2453), List(2401, 3018), List(1802, 8351), List(2511, 6596), List(2299, 9157), List(4066, 6555), List(865, 6492), List(3287, 6036), List(3132, 8377), List(293, 1570), List(3575, 5914), List(2422, 4245), List(5335, 6305), List(3504, 7202), List(5777, 7404), List(1792, 3849), List(2602, 9316), List(9130, 10490), List(10291, 10522), List(4866, 10930), List(5120, 8568), List(1166, 7736), List(3068, 11186), List(2101, 7987), List(2908, 7521), List(4983, 9236), List(3023, 7279), List(9967, 10583), List(3084, 8686), List(1030, 11231), List(3265, 3779), List(2050, 6894), List(9484, 9833), List(3536, 8968), List(5755, 11536), List(337, 6699), List(7173, 11409), List(112, 1104), List(5808, 11547), List(581, 6278), List(3470, 4534), List(5765, 8467), List(3216, 6869), List(428, 2279), List(2735, 3563), List(4801, 5916), List(1000, 1916), List(67, 10379), List(3914, 7584), List(1235, 6694), List(2675, 6141), List(7372, 8212), List(4282, 6290), List(2889, 4380), List(733, 8927), List(3788, 8384), List(3910, 7815), List(522, 1510), List(5126, 7554), List(8209, 9059), List(3531, 4786), List(418, 6822), List(2510, 11150), List(4781, 10525), List(3315, 3441), List(818, 7695), List(9997, 10717), List(358, 10154), List(4023, 7877), List(7333, 8607), List(10150, 10959), List(8407, 10922), List(7714, 10958), List(499, 6602), List(530, 1751), List(2025, 7321), List(6068, 10854), List(5104, 9084), List(678, 5032), List(1464, 5941), List(5688, 7600), List(6309, 10916), List(5497, 8786), List(7775, 11584), List(6658, 8818), List(2693, 5915), List(5155, 8268), List(857, 4216), List(6782, 9793), List(170, 9702), List(3043, 7425), List(6114, 6661), List(4870, 9038), List(518, 10385), List(1445, 10021), List(6801, 10974), List(10069, 11478), List(5669, 6395), List(9336, 11334), List(4523, 11532), List(6667, 8880), List(7782, 8567), List(2527, 7666), List(6255, 9875), List(5876, 6846), List(3238, 10121), List(3293, 9828), List(1550, 10572), List(354, 4288), List(8490, 9189), List(6608, 7145), List(9820, 10750), List(3278, 11398), List(1199, 5777), List(3754, 4911), List(7916, 9856), List(6789, 8654), List(2871, 4069), List(357, 5690), List(1441, 5310), List(1000, 5567), List(4895, 6950), List(3487, 5506), List(3268, 4644), List(4520, 10456), List(7064, 10929), List(6723, 10636), List(892, 4694), List(5902, 11426), List(6808, 10185), List(922, 6034), List(2047, 10573), List(2102, 3864), List(1057, 5670), List(1076, 9884), List(1272, 7544), List(1795, 9571), List(1482, 4910), List(9578, 10412), List(6390, 11365), List(980, 7143), List(3913, 11333), List(4093, 9988), List(625, 2256), List(258, 7158), List(6082, 10431), List(3749, 3762), List(2278, 2750), List(166, 7569), List(2504, 8166), List(436, 2734), List(3271, 10553), List(317, 1322), List(2808, 9331), List(1440, 5034), List(2307, 4619), List(2207, 7421), List(1909, 3792), List(6914, 10180), List(4508, 8136), List(3671, 10645), List(7525, 11273), List(2666, 8874), List(372, 1379), List(3173, 3952), List(515, 933), List(7221, 7829), List(4100, 10004), List(4074, 8783), List(1230, 9546), List(1980, 10798), List(490, 9736), List(7305, 10186), List(2172, 4552), List(7454, 9528), List(5721, 10960), List(1969, 3469), List(1791, 11276), List(6449, 7757), List(9537, 9606), List(3990, 9085), List(6083, 9097), List(1914, 7145), List(5711, 7239), List(916, 2381), List(4456, 6791), List(7288, 8677), List(7014, 9606), List(507, 641), List(1845, 8479), List(4608, 7562), List(2531, 5774), List(7073, 10186), List(1378, 3351), List(3761, 9383), List(1531, 3593), List(1469, 2715), List(9024, 10145), List(29, 9684), List(1336, 9541), List(1337, 10143), List(4391, 6746), List(4139, 4990), List(2171, 3926), List(5598, 8651), List(834, 5358), List(6654, 11141), List(4401, 5929), List(5474, 10278), List(2189, 11298), List(5828, 10806), List(6650, 11372), List(2913, 4913), List(3182, 8521), List(5683, 10802), List(3813, 6109), List(234, 7406), List(535, 10552), List(1445, 6801), List(1008, 10964), List(4764, 10303), List(1314, 8038), List(3334, 10046), List(3108, 7259), List(9406, 9634), List(8248, 9119), List(7226, 10377), List(4671, 4827), List(460, 4901), List(4854, 7163), List(2827, 11154), List(1210, 3901), List(828, 7771), List(9114, 9233), List(3290, 5960), List(7713, 8960), List(6135, 8051), List(3358, 10790), List(7095, 10079), List(10761, 11410), List(1614, 11309), List(336, 4276), List(177, 9881), List(507, 5097), List(1267, 11201), List(4144, 7942), List(8824, 11507), List(5865, 6096), List(2685, 7664), List(682, 6791), List(7230, 9341), List(1814, 1921), List(2151, 6976), List(2675, 3189), List(307, 4635), List(2218, 5165), List(9840, 11565), List(3140, 5211), List(3365, 7773), List(3790, 6259), List(3139, 11402), List(2834, 10766), List(1461, 6879), List(4415, 9694), List(6739, 7949), List(1544, 5601), List(4837, 7882), List(3968, 5218), List(8883, 10932), List(416, 11344), List(1763, 7594), List(2281, 2861), List(1250, 8537), List(6554, 9300), List(1356, 8933), List(6542, 11168), List(6537, 10824), List(1895, 2044), List(7045, 8756), List(4674, 9931), List(7659, 10901), List(7755, 10609), List(214, 7049), List(3106, 4822), List(4136, 6091), List(2102, 5905), List(4311, 10818), List(5973, 9146), List(1394, 11268), List(124, 7506), List(4286, 6789), List(81, 4426), List(1046, 7552), List(422, 10354), List(3375, 3899), List(8665, 8736), List(4563, 8006), List(2794, 10535), List(1576, 6963), List(5330, 10393), List(2167, 7404), List(5491, 11250), List(6140, 9444), List(1420, 5669), List(2230, 11136), List(1041, 6804), List(4639, 6311), List(2092, 11202), List(1376, 9534), List(9559, 10117), List(10488, 10580), List(1816, 9806), List(7793, 9157), List(3361, 8323), List(4491, 6790), List(4608, 7375), List(8625, 9687), List(903, 10253), List(2343, 5536), List(5815, 10034), List(2153, 9576), List(302, 1927), List(683, 11418), List(5590, 10855), List(2763, 7815), List(1323, 1952), List(2673, 4889), List(1711, 5444), List(3110, 4890), List(307, 6408), List(4189, 4920), List(4904, 10527), List(2391, 8586), List(1918, 6676), List(4722, 8766), List(2943, 9853), List(5799, 11379), List(2664, 10438), List(4149, 8904), List(8920, 9204), List(8758, 8876), List(974, 1394), List(6149, 6473), List(920, 10957), List(3832, 10136), List(506, 9627), List(1368, 4704), List(6259, 10024), List(7384, 8147), List(6883, 9851), List(3669, 5419), List(8215, 10704), List(1641, 2769), List(552, 2051), List(5154, 7268), List(9887, 11248), List(3207, 10434), List(7147, 10082), List(6901, 7397), List(5837, 9927), List(1833, 6322), List(7643, 11417), List(2908, 6610), List(3153, 5660), List(2158, 10993), List(756, 1450), List(637, 10618), List(3705, 3921), List(600, 4320), List(6582, 11185), List(4648, 8197), List(3870, 5651), List(3641, 5599), List(9033, 9215), List(1748, 9782), List(5512, 7484), List(4292, 10255), List(4328, 9912), List(3901, 10599), List(23, 11105), List(1685, 2263), List(613, 1522), List(1423, 6989), List(7317, 11001), List(8083, 10534), List(10369, 10941), List(1049, 2052), List(6804, 9692), List(592, 10444), List(2053, 4352), List(3042, 11282), List(4904, 5534), List(458, 830), List(9043, 9529), List(636, 9238), List(1660, 3145), List(579, 8704), List(1632, 7513), List(1790, 8853), List(948, 3848), List(2624, 6046), List(7018, 10560), List(204, 6548), List(1383, 1524), List(5605, 6520), List(5993, 6602), List(286, 2416), List(3860, 10574), List(4418, 7869), List(2866, 5929), List(4698, 10138), List(3540, 8125), List(7344, 9390), List(52, 8786), List(3321, 6509), List(8835, 11054), List(6125, 8599), List(858, 10347), List(457, 10003), List(4504, 4610), List(4949, 10888), List(6625, 6670), List(2353, 3085), List(5503, 5812), List(276, 6959), List(1581, 3737), List(2673, 8890), List(944, 2924), List(4151, 6185), List(1348, 6949), List(1167, 8823), List(5957, 6921), List(2839, 2951), List(6541, 10355), List(5362, 8963), List(4801, 10616), List(1038, 9352), List(1902, 5256), List(281, 7683), List(3832, 10754), List(4424, 8414), List(1970, 3670), List(2501, 9722), List(1876, 7418), List(350, 2535), List(1750, 11251), List(1217, 8536), List(4208, 10452), List(5887, 11413), List(1704, 7119), List(685, 7894), List(2736, 2799), List(6252, 9821), List(3162, 4893), List(2518, 7043), List(5873, 10956), List(4505, 6659), List(1678, 2865), List(4229, 10925), List(3474, 5919), List(2913, 7572), List(1011, 3341), List(10169, 11148), List(919, 10168), List(5587, 7337), List(3312, 10472), List(8226, 11080), List(1230, 5334), List(5299, 10088), List(201, 1257), List(2028, 2870), List(1946, 11139), List(5021, 5613), List(2099, 11381), List(7599, 11332), List(8370, 11209), List(2339, 10087), List(9870, 10707), List(1559, 10878), List(3429, 5745), List(3212, 7208), List(6321, 7682), List(4413, 5915), List(567, 9312), List(2023, 2876), List(8520, 11153), List(3010, 3317), List(3192, 9215), List(6862, 7282), List(6034, 7625), List(1865, 4919), List(4224, 6393), List(3169, 7511), List(3503, 6633), List(4341, 7732), List(2913, 9800), List(8089, 11317), List(4013, 5392), List(708, 5760), List(1606, 6910), List(2409, 11206), List(4274, 9139), List(7173, 8083), List(459, 8439), List(3744, 6695), List(753, 8162), List(2626, 6710), List(8004, 11394), List(170, 5303), List(5433, 6065), List(1291, 1772), List(599, 11078), List(1900, 2819), List(568, 5349), List(9644, 10902), List(6003, 10567), List(153, 411), List(5474, 10977), List(4364, 5218), List(8221, 10281), List(401, 3142), List(2019, 10997), List(3478, 10494), List(5195, 8529), List(5661, 7770), List(1175, 10083), List(246, 3204), List(3912, 10951), List(3697, 6825), List(4440, 11070), List(3352, 9042), List(2729, 9817), List(539, 5708), List(5181, 7318), List(2230, 8184), List(2195, 9883), List(5366, 7071), List(10088, 10138), List(6416, 8992), List(1963, 3117), List(7622, 8043), List(1381, 10309), List(5462, 10162), List(668, 8158), List(372, 468), List(4921, 6805), List(526, 10734), List(5414, 10121), List(2647, 7132), List(4768, 9192), List(3538, 4859), List(7843, 9301), List(2726, 8364), List(773, 1162), List(419, 664), List(2101, 8312), List(3324, 9222), List(2751, 2944), List(10844, 11181), List(4001, 8683), List(9513, 10149), List(4553, 6944), List(857, 7656), List(1839, 6999), List(70, 9528), List(4531, 8848), List(1881, 10608), List(76, 10474), List(6984, 7705), List(4275, 8104), List(6073, 11231), List(135, 11054), List(4361, 7124), List(1566, 2087), List(7011, 8747), List(8305, 9897), List(8086, 9035), List(190, 7728), List(4230, 7580), List(3698, 7719), List(1645, 9735), List(52, 7794), List(2138, 7389), List(5875, 6678), List(3167, 5050), List(5309, 7987), List(3261, 11101), List(3669, 6200), List(4280, 10326), List(7306, 9045), List(10069, 10380), List(3228, 8709), List(293, 7856), List(2972, 4582), List(9019, 9590), List(758, 9124), List(207, 11465), List(8331, 8435), List(3381, 5918), List(1751, 10511), List(1684, 2873), List(4400, 9280), List(8254, 9908), List(4850, 9516), List(590, 1030), List(6379, 7500), List(3201, 9141), List(6045, 8378), List(1580, 5152), List(1428, 7764), List(51, 9797), List(2485, 6692), List(2702, 8612), List(2480, 9731), List(1666, 6774), List(3968, 5462), List(4224, 9589), List(3262, 6734), List(2503, 8402), List(4810, 9686), List(8604, 10263), List(6990, 8943), List(5517, 7104), List(9059, 10843), List(2070, 2104), List(2345, 4029), List(757, 2432), List(5447, 9748), List(4798, 11554), List(7597, 10294), List(935, 6676), List(6855, 9657), List(1241, 7914), List(7808, 11268), List(5356, 6597), List(657, 1447), List(7912, 8585), List(3454, 8782), List(6004, 7572), List(4861, 5837), List(6941, 7896), List(7063, 7327), List(4881, 7243), List(7155, 10299), List(5622, 8409), List(147, 9454), List(10785, 11219), List(1368, 10291), List(2108, 3685), List(2328, 5903), List(7837, 10104), List(6531, 6685), List(2021, 10856), List(8704, 9689), List(5870, 11140), List(4029, 11349), List(1737, 11097), List(10670, 10680), List(9605, 10356), List(1505, 5112), List(53, 2622), List(47, 9223), List(3094, 10317), List(7884, 9169), List(3288, 11314), List(1793, 5744), List(4559, 11514), List(5526, 8297), List(8162, 8359), List(3613, 6186), List(4712, 5340), List(1196, 4707), List(6977, 7152), List(910, 10537), List(8090, 10176), List(4712, 8723), List(2959, 4615), List(1025, 2381), List(4930, 10114), List(5140, 7480), List(3389, 4199), List(155, 1744), List(2894, 3439), List(5700, 6356), List(1925, 9993), List(63, 9325), List(3205, 5021), List(5541, 11207), List(2422, 4383), List(2616, 11042), List(2544, 3060), List(873, 1960), List(1554, 10989), List(1088, 3080), List(463, 3028), List(4702, 10637), List(481, 7771), List(5847, 6002), List(978, 8577), List(24, 9747), List(4286, 6228), List(9573, 11548), List(4346, 6279), List(951, 9383), List(5030, 6911), List(3815, 10026), List(5372, 10058), List(4025, 6638), List(1203, 10358), List(107, 2053), List(5024, 8594), List(4222, 7906), List(9258, 9443), List(10937, 11158), List(326, 7052), List(35, 3870), List(3739, 7937), List(1817, 2300), List(972, 4194), List(1032, 11415), List(8537, 10060), List(6231, 8220), List(2236, 7387), List(7442, 7615), List(4333, 4889), List(10649, 10876), List(4670, 8446), List(4828, 4868), List(4735, 8841), List(7865, 10192), List(1056, 6524), List(3568, 8240), List(2898, 9923), List(6742, 9109), List(1582, 5816), List(2761, 6427), List(1603, 10076), List(8184, 8602), List(1541, 9198), List(3258, 4227), List(3161, 7300), List(1012, 6602), List(1695, 6632), List(6994, 7051), List(578, 10282), List(146, 4209), List(106, 11226), List(1315, 9794), List(4092, 7809), List(7724, 9556), List(1796, 10067), List(3503, 7414), List(7135, 9161), List(7164, 8401), List(8793, 9999), List(5703, 8077), List(6195, 8539), List(7819, 9793), List(1444, 9615), List(716, 5678), List(4771, 10726), List(1531, 11489), List(3794, 6839), List(965, 2218), List(7539, 10907), List(4725, 7348), List(3572, 11341), List(8433, 11534), List(553, 4344), List(5563, 7666), List(2972, 6623), List(7118, 11035), List(9110, 10995), List(617, 5268), List(6592, 8710), List(10719, 11190), List(1856, 10848), List(3535, 5393), List(6233, 7087), List(3874, 5613), List(6541, 11404), List(200, 9302), List(3376, 10998), List(2929, 10309), List(8233, 11072), List(1251, 11448), List(3517, 10479), List(9041, 9296), List(1283, 1537), List(474, 5340), List(1630, 11444), List(3045, 5007), List(4357, 10870), List(5828, 6220), List(2748, 4232), List(6128, 9141), List(4113, 7477), List(4359, 4500), List(2609, 10489), List(3540, 8369), List(4572, 5547), List(1650, 5653), List(1426, 3693), List(1548, 5376), List(2632, 2744), List(2511, 11085), List(1267, 9298), List(8108, 10969), List(3939, 9017), List(7991, 10384), List(5093, 7878), List(2235, 9689), List(979, 5633), List(3103, 7964), List(9034, 11134), List(701, 3410), List(7490, 9055), List(2657, 7877), List(7359, 10292), List(2125, 3852), List(2560, 10196), List(5428, 7575), List(9354, 9769), List(3623, 7441), List(3492, 7924), List(2877, 9314), List(2650, 10089), List(2718, 8503), List(1562, 1645), List(4552, 7123), List(2339, 11136), List(5259, 8705), List(7778, 8182), List(5566, 9387), List(2548, 9031), List(6529, 9434), List(190, 8159), List(4689, 6081), List(2447, 5192), List(3486, 4295), List(2132, 3868), List(9366, 10129), List(2518, 7287), List(7430, 11232), List(5785, 8347), List(6313, 10718), List(952, 9421), List(3257, 7626), List(3406, 11132), List(2477, 4253), List(3729, 10065), List(3667, 9187), List(3836, 10716), List(9469, 10257), List(8450, 11032), List(6077, 11380), List(1373, 1722), List(6641, 6992), List(9411, 9498), List(2090, 3992), List(999, 9617), List(3299, 3314), List(5394, 10569), List(5024, 5374), List(848, 8667), List(7527, 10010), List(4617, 10877), List(775, 6876), List(2359, 5321), List(1030, 11532), List(1618, 5286), List(2640, 8946), List(1476, 7862), List(4220, 9901), List(1577, 2252), List(4193, 4291), List(2164, 9367), List(7761, 9251), List(2969, 3156), List(483, 10208), List(7694, 10658), List(1715, 10480), List(10999, 11044), List(2649, 11287), List(3710, 7705), List(1026, 6471), List(6129, 9984), List(5487, 6545), List(1249, 8206), List(8157, 9601), List(2964, 9578), List(7883, 10530), List(1221, 3906), List(3322, 7596), List(5784, 5785), List(1992, 9418), List(2448, 7971), List(3115, 6714), List(6900, 9457), List(2447, 9998), List(7557, 8266), List(422, 1230), List(5817, 8527), List(1988, 8895), List(5503, 10057), List(101, 6507), List(8321, 9601), List(4224, 9215), List(8042, 10186), List(726, 11440), List(609, 4439), List(3749, 6478), List(6739, 11202), List(5705, 6781), List(6398, 10909), List(8943, 9355), List(390, 3577), List(1107, 8099), List(4555, 8039), List(793, 3967), List(125, 7251), List(1152, 10501), List(6754, 9231), List(601, 764), List(2146, 5697), List(2438, 9481), List(2736, 6694), List(57, 5804), List(239, 5286), List(1176, 5610), List(331, 8258), List(5979, 8831), List(1485, 7119), List(5318, 6870), List(1481, 9629), List(987, 6842), List(118, 4178), List(6207, 10940), List(4340, 9174), List(1642, 1818), List(1392, 1643), List(3532, 3753), List(5115, 5760), List(292, 4516), List(1690, 3737), List(10294, 10958), List(4900, 11433), List(576, 7658), List(1372, 8531), List(2313, 7099), List(3594, 11397), List(9467, 10398), List(2807, 4601), List(1252, 11031), List(192, 11051), List(1237, 2829), List(3482, 9651), List(4887, 10043), List(1021, 7900), List(2676, 11473), List(7070, 9571), List(6805, 7610), List(3169, 8373), List(3320, 8542), List(8340, 9546), List(2509, 9266), List(1791, 6771), List(3759, 8589), List(9948, 10297), List(1515, 5375), List(2005, 4256), List(474, 3193), List(2978, 11407), List(6889, 6907), List(6892, 10588), List(4213, 9698), List(639, 11339), List(3273, 8322), List(7533, 9638), List(723, 3116), List(9030, 9619), List(4052, 5808), List(1247, 5745), List(2086, 4036), List(7524, 9525), List(2266, 2691), List(2353, 10981), List(2860, 6059), List(4904, 6209), List(2484, 7465), List(5006, 10623), List(5658, 8334), List(1324, 3871), List(1824, 8358), List(4747, 5444), List(6366, 7108), List(6486, 7210), List(3194, 5531), List(1102, 1957), List(4147, 7142), List(234, 2901), List(3460, 10376), List(5079, 11286), List(5296, 9823), List(96, 2213), List(378, 6063), List(8744, 8982), List(621, 8450), List(3083, 11557), List(194, 6885), List(5970, 8986), List(213, 519), List(2484, 6310), List(4287, 9781), List(6936, 7796), List(6124, 6420), List(1769, 7496), List(52, 3045), List(1335, 11176), List(153, 10267), List(5096, 9361), List(4165, 5065), List(4170, 6163), List(6026, 8514), List(398, 649), List(6676, 10316), List(1478, 9949), List(1922, 4705), List(4938, 4988), List(1514, 3190), List(514, 10431), List(1598, 2137), List(4187, 6517), List(515, 11033), List(5933, 9454), List(5959, 10675), List(7920, 9070), List(7576, 9260), List(4520, 5414), List(5017, 6220), List(8674, 10441), List(2306, 10710), List(563, 7290), List(4086, 6061), List(1304, 2040), List(4555, 11235), List(1812, 6388), List(2531, 6075), List(6163, 7822), List(767, 1054), List(6442, 10620), List(7367, 9429), List(6374, 9173), List(1259, 4899), List(2544, 6687), List(9517, 10729), List(7089, 11370), List(8801, 9061), List(1167, 5310), List(9019, 10452), List(11321, 11392), List(4910, 8551), List(7434, 8372), List(1138, 3037), List(1664, 3083), List(3286, 3510), List(5834, 7889), List(6856, 11549), List(406, 2364), List(4469, 8027), List(1157, 6470), List(6802, 8280), List(2960, 10695), List(1191, 10218), List(9384, 11489), List(3426, 9182), List(5363, 9435), List(1194, 3319), List(724, 11506), List(339, 4525), List(4110, 9814), List(225, 3457), List(5877, 7212), List(1314, 1923), List(5737, 11339), List(7344, 11488), List(1367, 4967), List(4887, 6473), List(4317, 6882), List(8274, 8389), List(119, 9073), List(1669, 8688), List(2820, 8032), List(853, 9068), List(9139, 10530), List(8074, 10960), List(168, 8965), List(385, 7502), List(6334, 11221), List(8837, 10165), List(1172, 4849), List(2870, 4362), List(793, 1820), List(7636, 7701), List(5332, 5934), List(8685, 9020), List(1183, 11050), List(6811, 10220), List(7413, 8568), List(4360, 9157), List(5623, 8742), List(34, 8719), List(368, 1425), List(989, 4741), List(7114, 11160), List(2990, 11580), List(5688, 6104), List(4000, 7309), List(87, 9484), List(1541, 8637), List(5648, 7459), List(1047, 5096), List(2415, 2977), List(3913, 8064), List(3841, 6498), List(1081, 3926), List(1886, 2633), List(6177, 6268), List(3995, 10348), List(2350, 7463), List(638, 3356), List(4648, 10913), List(7852, 8241), List(5644, 6936), List(4462, 6027), List(3679, 4635), List(2715, 5117), List(778, 2612), List(10, 7170), List(6952, 9647), List(3495, 6211), List(2376, 9034), List(5984, 6223), List(1094, 10927), List(3797, 9959), List(1586, 11389), List(494, 574), List(4364, 11504), List(5450, 6289), List(4383, 9302), List(7339, 9534), List(2086, 3044), List(5697, 10330), List(6471, 9724), List(3970, 4410), List(1019, 5276), List(2357, 10862), List(2691, 3568), List(2322, 7643), List(4619, 8239), List(1534, 4409), List(5589, 9457), List(4840, 6895), List(2500, 9635), List(5982, 9159), List(3366, 5585), List(6392, 10720), List(3618, 9970), List(3329, 9867), List(1252, 8079), List(1470, 9470), List(1621, 6633), List(9644, 9967), List(1340, 7145), List(903, 4138), List(3200, 4734), List(10734, 11287), List(6713, 11485), List(2869, 5129), List(6348, 6634), List(4479, 8959), List(217, 6816), List(426, 10373), List(5467, 5838), List(235, 4389), List(6021, 7178), List(1509, 8270), List(4652, 9826), List(9566, 10434), List(1070, 5190), List(3902, 8574), List(6026, 10905), List(2289, 4446), List(3497, 4324), List(1317, 5067), List(1757, 5339), List(532, 7766), List(3969, 7517), List(5860, 6671), List(2899, 6849), List(1039, 2844), List(1792, 7777), List(2926, 4508), List(2994, 9338), List(6253, 6373), List(4860, 10879), List(316, 9050), List(4815, 10355), List(9202, 11446), List(8835, 9932), List(9733, 11082), List(1634, 3030), List(2289, 6674), List(1945, 6864), List(5250, 11414), List(986, 1274), List(2820, 11228), List(2373, 3369), List(1075, 11145), List(6742, 9516), List(1107, 9148), List(8576, 8890), List(5481, 5870), List(686, 1012), List(298, 11453), List(6492, 9341), List(1203, 9610), List(5799, 10875), List(2871, 10412), List(3616, 4904), List(1591, 2552), List(4271, 6296), List(4759, 9268), List(2173, 8569), List(6322, 6836), List(4973, 7507), List(2791, 4417), List(1832, 5243), List(2042, 2609), List(837, 10576), List(3160, 5977), List(521, 5617), List(6579, 10814), List(3571, 11146), List(4063, 10854), List(8566, 10430), List(6958, 10810), List(726, 5268), List(354, 9826), List(4905, 6410), List(2845, 11419), List(952, 11438), List(6544, 10978), List(5171, 10501), List(5260, 9792), List(2491, 10140), List(4791, 8001), List(190, 5638), List(1804, 2794), List(10024, 10052), List(2056, 7179), List(5569, 7514), List(1307, 5371), List(4015, 11163), List(1672, 3806), List(3232, 4109), List(10976, 11438), List(1432, 4319), List(1112, 1897), List(649, 675), List(2706, 7446), List(1698, 8410), List(180, 1136), List(618, 11161), List(4438, 6543), List(10535, 10914), List(6087, 9547), List(2418, 7918), List(2974, 3669), List(7393, 9179), List(5297, 8115), List(2439, 5762), List(291, 8672), List(2738, 5829), List(1525, 3355), List(38, 4062), List(11077, 11089), List(189, 8395), List(8881, 11299), List(3156, 11415), List(4137, 8658), List(2211, 3279), List(1746, 7646), List(368, 2661), List(6417, 8496), List(2737, 3325), List(1799, 5028), List(2079, 7297), List(3887, 11112), List(5504, 5533), List(5378, 7114), List(4282, 5225), List(4533, 9008), List(7585, 8194), List(75, 2789), List(3010, 7806), List(7428, 10462), List(2139, 8479), List(5623, 10328), List(1358, 1498), List(4317, 7663), List(8453, 11387), List(2321, 3797), List(2782, 9110), List(2412, 3161), List(41, 6588), List(886, 2442), List(383, 10489), List(1723, 5568), List(482, 1046), List(3147, 6764), List(2191, 11271), List(5202, 10456), List(3459, 11200), List(8039, 8522), List(3123, 4835), List(6069, 7008), List(1616, 7549), List(1036, 4988), List(3760, 4897), List(1743, 7324), List(3303, 6873), List(8679, 9232), List(5620, 8875), List(1737, 5974), List(9600, 11305), List(319, 2344), List(9477, 10151), List(4000, 11123), List(3007, 6703), List(6372, 10550), List(2719, 9454), List(3676, 5549), List(751, 1220), List(7287, 9425), List(4028, 10138), List(3376, 5257), List(7603, 11351), List(8138, 8477), List(1507, 3418), List(6225, 6366), List(2898, 8638), List(876, 3551), List(7061, 10021), List(5297, 9888), List(3215, 7002), List(552, 10809), List(4705, 5812), List(594, 8002), List(6528, 10689), List(3162, 6617), List(8335, 10869), List(7528, 9083), List(2147, 9763), List(2732, 10416), List(707, 8064), List(3446, 9759), List(3504, 8983), List(1384, 7525), List(852, 10670), List(4312, 4955), List(2099, 9722), List(4962, 6757), List(8471, 9602), List(6141, 7368), List(850, 10974), List(4238, 5945), List(1223, 9270), List(1345, 4537), List(841, 6724), List(8098, 10525), List(7788, 9545), List(997, 7237), List(35, 2130), List(527, 1838), List(4105, 9738), List(6195, 10987), List(8086, 10141), List(1579, 3428), List(715, 5272), List(6131, 8528), List(6904, 9232), List(3268, 3579), List(10143, 10496), List(929, 9173), List(746, 10220), List(5725, 11223), List(739, 9049), List(3748, 5155), List(3691, 4621), List(6337, 9535), List(1201, 10800), List(1387, 10024), List(10535, 10727), List(3720, 3861), List(397, 9285), List(180, 10748), List(1471, 5965), List(7047, 11388), List(1362, 5241), List(108, 2766), List(1878, 10261), List(2998, 10292), List(9792, 9865), List(5926, 7722), List(2600, 7213), List(4675, 8928), List(1822, 10329), List(2747, 9892), List(1756, 5545), List(5424, 9955), List(381, 11411), List(7258, 8575), List(2437, 8912), List(10090, 10461), List(5391, 7563), List(2275, 10082), List(6858, 8833), List(936, 5025), List(1352, 11319), List(2641, 5709), List(7103, 8637), List(439, 7602), List(8037, 9444), List(4720, 8297), List(7898, 10039), List(7736, 11209), List(895, 9538), List(9950, 10050), List(6118, 6737), List(868, 10344), List(2019, 9688), List(2795, 9909), List(5257, 8098), List(1446, 9826), List(5338, 7528), List(2163, 2270), List(2595, 2681), List(3630, 10710), List(4086, 10761), List(160, 2151), List(393, 4574), List(418, 5570), List(1168, 4570), List(4888, 9170), List(8905, 11482), List(4449, 5336), List(1682, 2347), List(5119, 8514), List(1595, 3102), List(2020, 8758), List(535, 3876), List(1769, 4975), List(1868, 9118), List(536, 10894), List(3453, 10417), List(9086, 9958), List(3723, 5582), List(390, 3902), List(3667, 7902), List(2788, 4550), List(2736, 8524), List(4229, 6851), List(2450, 7938), List(2080, 2743), List(1171, 7096), List(4285, 10166), List(885, 7264), List(8603, 9208), List(3441, 9252), List(4318, 9525), List(8886, 9496), List(4778, 10449), List(5201, 6610), List(963, 9025), List(5295, 6245), List(3835, 6523), List(1412, 9760), List(3293, 8226), List(1462, 2707), List(1153, 5335), List(5470, 7185), List(9026, 9102), List(1278, 10699), List(2641, 7482), List(3611, 10952), List(6381, 7042), List(5228, 11035), List(2632, 3232), List(4600, 5050), List(245, 6126), List(3755, 6944), List(3915, 4947), List(4506, 11050), List(8052, 8115), List(143, 9232), List(9789, 10185), List(6697, 10846), List(811, 10859), List(293, 9930), List(6297, 7694), List(7565, 7623), List(3714, 10676), List(8134, 9995), List(4865, 5856), List(3521, 6871), List(3961, 10553), List(553, 2872), List(286, 5726), List(2280, 2349), List(4790, 9654), List(3389, 7883), List(3893, 9860), List(5041, 10404), List(5561, 6498), List(3536, 4146), List(1517, 2740), List(5816, 10400), List(3378, 6189), List(2628, 5691), List(5783, 8762), List(3068, 5209), List(4260, 7560), List(6300, 10220), List(4469, 11117), List(3026, 5737), List(2348, 6051), List(544, 3109), List(11242, 11341), List(198, 2472), List(4218, 10717), List(5113, 5934), List(2406, 9412), List(5073, 8787), List(160, 9535), List(807, 6902), List(7379, 9846), List(1397, 3735), List(6505, 6838), List(1591, 6984), List(3738, 3849), List(32, 3119), List(350, 2462), List(6012, 6905), List(8940, 10751), List(6223, 11289), List(1146, 3335), List(2300, 8612), List(5106, 5113), List(3454, 7473), List(648, 9474), List(2270, 9901), List(3827, 10687), List(3109, 8192), List(2044, 7868), List(1731, 3207), List(2070, 2673), List(2233, 4357), List(8671, 9021), List(1350, 9931), List(1023, 1400), List(1267, 8176), List(7418, 9400), List(7017, 9056), List(766, 3464), List(1798, 7812), List(3379, 8992), List(5471, 6150), List(4024, 9696), List(2317, 5933), List(7239, 10566), List(763, 3166), List(286, 10182), List(5740, 7506), List(2877, 4809), List(3376, 5688), List(2104, 8269), List(4898, 9671), List(8005, 9318), List(1186, 4962), List(4298, 9117), List(2245, 4717), List(2052, 10738), List(4729, 5139), List(8839, 9894), List(310, 8674), List(8712, 11250), List(3641, 6494), List(546, 3474), List(4759, 9862), List(55, 10784), List(308, 4814), List(8613, 10490), List(7147, 9822), List(1039, 7544), List(7494, 7651), List(5247, 6418), List(3884, 9635), List(3160, 3188), List(894, 7540), List(8002, 11275), List(7071, 7733), List(3210, 5934), List(784, 3238), List(2747, 4712), List(109, 10239), List(5892, 7095), List(2062, 4609), List(659, 7673), List(4275, 9641), List(5134, 5201), List(4576, 6371), List(283, 8325), List(1250, 5862), List(3056, 8850), List(3020, 6941), List(7696, 10387), List(4423, 8758), List(457, 7165), List(3325, 10960), List(1993, 6320), List(6186, 7168), List(3166, 5985), List(8812, 9895), List(1579, 7242), List(6379, 10192), List(3418, 10370), List(4973, 10329), List(765, 2033), List(450, 2961), List(4837, 10468), List(179, 8325), List(3417, 10899), List(210, 7638), List(10443, 11569), List(2105, 9917), List(383, 5122), List(2870, 9225), List(4181, 5818), List(4515, 4940), List(2193, 2567), List(6322, 11536), List(3175, 6074), List(904, 1037), List(1627, 7259), List(6222, 11305), List(9125, 11122), List(2324, 7372), List(4328, 8847), List(8552, 11260), List(5782, 8000), List(4973, 6141), List(458, 9214), List(3080, 9570), List(250, 2849), List(4415, 11475), List(2259, 6196), List(2441, 5678), List(794, 8382), List(3039, 6536), List(1384, 2963), List(4508, 10885), List(10886, 11334), List(3374, 8512), List(10313, 11472), List(234, 811), List(4130, 11464), List(1873, 9543), List(6735, 9207), List(5861, 6199), List(71, 8926), List(7540, 7914), List(661, 9923), List(729, 1921), List(10343, 10533), List(4391, 5762), List(129, 2865), List(4102, 5659), List(1218, 1331), List(1658, 8019), List(153, 1761), List(7353, 8438), List(5703, 5963), List(8738, 9706), List(1398, 6402), List(3514, 8872), List(927, 10200), List(7644, 7863), List(1928, 6567), List(10109, 10487), List(3357, 7353), List(3751, 11444), List(368, 5483), List(9915, 10621), List(139, 3933), List(1443, 5771), List(1582, 9313), List(8056, 9470), List(10508, 11135), List(1414, 10668), List(7207, 8212), List(4903, 6445), List(1008, 3564), List(1190, 4544), List(5605, 7683), List(517, 5956), List(2963, 10058), List(3087, 5398), List(2371, 5982), List(4014, 5788), List(1567, 8631), List(2403, 2487), List(5164, 7159), List(41, 6377), List(3582, 8760), List(9115, 11103), List(7969, 9851), List(8318, 10759), List(4956, 9839), List(5505, 10835), List(4578, 4783), List(7445, 10605), List(3671, 11434), List(5943, 7247), List(704, 11043), List(4250, 7354), List(989, 1578), List(5904, 11456), List(2007, 6994), List(1262, 6840), List(845, 7491), List(4021, 5023), List(5027, 7396), List(1404, 2759), List(5483, 8201), List(4526, 9854), List(8703, 9415), List(9682, 9995), List(4828, 9438), List(6085, 9932), List(4239, 9797), List(8525, 10082), List(4079, 5378), List(2556, 4176), List(7006, 9753), List(2323, 5136), List(9409, 10745), List(1773, 11085), List(1678, 7061), List(1676, 11152), List(2636, 6764), List(1361, 5664), List(7183, 8110), List(457, 10361), List(3858, 10455), List(1365, 5783), List(2470, 4782), List(3978, 8305), List(2507, 7293), List(10975, 11243), List(3408, 8714), List(7921, 8224), List(1357, 5141), List(7678, 9220), List(1172, 9525), List(5079, 6781), List(2286, 8987), List(5328, 9737), List(2255, 3258), List(5457, 6175), List(2566, 11256), List(7604, 9456), List(94, 1799), List(6630, 9250), List(6239, 9594), List(778, 1677), List(2410, 3546), List(1808, 5198), List(4760, 7940), List(2241, 8463), List(5073, 6185), List(3541, 7149), List(1326, 2421), List(3734, 10173), List(2480, 7698), List(7898, 10283), List(3569, 6164), List(5938, 8326), List(8608, 11382), List(482, 753), List(6459, 7274), List(2290, 5322), List(2018, 7078), List(4686, 5143), List(6145, 8804), List(4634, 9117), List(489, 1143), List(5279, 6411), List(83, 455), List(1476, 5748), List(4867, 11570), List(5178, 8988), List(3994, 11416), List(4121, 7027), List(5084, 6320), List(7453, 9236), List(2902, 6236), List(10348, 10690), List(1771, 1882), List(5074, 11267), List(1836, 6441), List(91, 6358), List(4948, 6432), List(1491, 2242), List(1370, 10583), List(8027, 10447), List(5539, 11037), List(2079, 3166), List(3234, 9045), List(8947, 10043), List(6366, 10442), List(1486, 2248), List(77, 2114), List(1479, 5241), List(415, 8525), List(9167, 11480), List(7074, 8435), List(7698, 8262), List(4981, 11052), List(1311, 5815), List(4370, 6926), List(2343, 10163), List(4862, 7388), List(11111, 11399), List(7281, 8913), List(4459, 6217), List(1967, 10815), List(6532, 11269), List(312, 7996), List(5921, 9395), List(3856, 7644), List(4883, 5232), List(7995, 10885), List(1372, 10605), List(7509, 7959), List(954, 1986), List(563, 2330), List(10229, 11132), List(3192, 5385), List(2323, 2721), List(2976, 3286), List(3757, 3851), List(78, 7950), List(2163, 3937), List(2259, 10815), List(1108, 2803), List(2563, 11226), List(894, 3783), List(3473, 7475), List(6262, 8533), List(9560, 11158), List(945, 4502), List(3780, 5905), List(2627, 5734), List(4795, 7640), List(3239, 4046), List(6635, 10212), List(6237, 7133), List(7603, 10603), List(2521, 11350), List(441, 2875), List(2180, 11057), List(2271, 11175), List(4107, 4206), List(745, 3286), List(440, 9820), List(67, 190), List(7212, 9442), List(2945, 3949), List(3364, 9760), List(1513, 2865), List(6373, 8872), List(1394, 1453), List(5416, 10525), List(1015, 4086), List(9234, 9244), List(8401, 8489), List(1988, 11237), List(302, 6099), List(4192, 9390), List(296, 2120), List(1856, 6587), List(1880, 11145), List(1285, 2634), List(704, 7018), List(3771, 9518), List(944, 6478), List(2690, 9415), List(389, 4913), List(2003, 6233), List(8842, 11241), List(2803, 3842), List(3828, 7019), List(4542, 6362), List(6756, 10865), List(4075, 6896), List(2115, 9857), List(6941, 9864), List(3149, 3698), List(4135, 5449), List(1513, 5093), List(4348, 6496), List(2732, 8513), List(717, 1187), List(343, 11334), List(6595, 10358), List(3228, 5684), List(8479, 9095), List(4000, 8415), List(2415, 4083), List(2657, 10032), List(3162, 8447), List(1195, 3067), List(2841, 8806), List(11054, 11483), List(975, 4986), List(2747, 9144), List(7819, 10338), List(627, 3522), List(3211, 7558), List(6700, 7499), List(4040, 10823), List(1956, 11274), List(3924, 6676), List(4643, 5609), List(6446, 9080), List(3917, 5505), List(990, 10929), List(558, 9020), List(7097, 7320), List(5696, 7801), List(6440, 8484), List(2910, 9673), List(42, 5878), List(6891, 11574), List(2562, 5957), List(175, 2435), List(5330, 5384), List(6918, 7735), List(4431, 7015), List(785, 6336), List(7046, 10364), List(4840, 4968), List(1910, 4459), List(3429, 11177), List(4365, 6395), List(1347, 6039), List(2930, 7292), List(4048, 4244), List(3394, 5706), List(1116, 2908), List(5386, 5666), List(310, 11146), List(6036, 6714), List(7751, 10338), List(3643, 9793), List(6965, 7150), List(4625, 9890), List(6249, 11144), List(11106, 11218), List(8360, 9106), List(8246, 11448), List(5586, 8356), List(6747, 9142), List(765, 2277), List(9111, 10960), List(2478, 2822), List(728, 2395), List(669, 5198), List(1565, 6275), List(732, 9684), List(381, 8703), List(3880, 11584), List(569, 11383), List(8222, 8768), List(4526, 9480), List(2933, 6785), List(1221, 2678), List(995, 7061), List(3486, 4490), List(4324, 5589), List(2452, 3479), List(13, 6183), List(10837, 11336), List(679, 8518), List(5075, 7443), List(4677, 6616), List(6129, 9106), List(6202, 7110), List(4315, 11138), List(4046, 5995), List(1620, 3299), List(4760, 5338), List(4142, 6457), List(6994, 11247), List(452, 9643), List(56, 9643), List(2508, 7144), List(735, 5013), List(5654, 5965), List(539, 1691), List(826, 5131), List(576, 10618), List(7360, 9503), List(7293, 8281), List(2061, 2668), List(7704, 10067), List(1164, 4372), List(6492, 10447), List(9382, 11557), List(380, 9925), List(2565, 8028), List(5679, 11098), List(595, 5383), List(3735, 7422), List(1068, 1631), List(7325, 10421), List(6604, 7655), List(6320, 7896), List(833, 1764), List(1431, 9038), List(533, 1472), List(345, 8591), List(6795, 10606), List(252, 5394), List(6230, 8353), List(4568, 10779), List(1341, 9495), List(3258, 7618), List(1295, 2734), List(584, 7826), List(4381, 7920), List(4723, 11067), List(2832, 5497), List(1167, 1236), List(985, 5137), List(18, 6102), List(4185, 7227), List(5714, 9375), List(3560, 4923), List(3661, 5729), List(2778, 11303), List(3182, 11164), List(5142, 6705), List(5852, 8558), List(563, 2411), List(2710, 5692), List(7140, 9863), List(1805, 7535), List(3114, 10471), List(4308, 6479), List(5602, 7629), List(728, 4168), List(1221, 7484), List(1830, 2869), List(4773, 7747), List(9532, 10696), List(2116, 8336), List(1653, 7114), List(6775, 7671), List(4352, 10908), List(7225, 8631), List(155, 492), List(1674, 4958), List(2942, 4887), List(581, 9002), List(2828, 7983), List(3129, 11129), List(1704, 6298), List(1195, 1725), List(1822, 8239), List(2505, 8269), List(2071, 11195), List(2787, 4949), List(2031, 5380), List(7421, 8169), List(816, 2079), List(1005, 4984), List(2316, 8747), List(3589, 9020), List(659, 4347), List(2966, 9795), List(192, 5635), List(2284, 2793), List(5451, 6655), List(4360, 8116), List(4246, 11212), List(3114, 9666), List(4850, 5499), List(1806, 3168), List(1064, 8947), List(5317, 7594), List(5762, 8210), List(5125, 10807), List(8459, 8925), List(2418, 7869), List(3569, 7213), List(1327, 6324), List(9119, 11415), List(6129, 6691), List(6039, 10181), List(6779, 7739), List(1667, 7146), List(491, 9435), List(150, 2726), List(3262, 9133), List(4009, 4452), List(5471, 7630), List(6553, 9089), List(727, 11405), List(758, 10718), List(233, 7864), List(4898, 11151), List(2322, 11140), List(5273, 10274), List(3903, 10068), List(9567, 11174), List(7096, 8735), List(778, 8337), List(5924, 8514), List(4740, 6778), List(605, 10072), List(4614, 8359), List(4977, 5967), List(37, 4892), List(211, 6011), List(5171, 6964), List(6193, 6460), List(1430, 10185), List(1552, 11114), List(10086, 10426), List(4267, 7497), List(3271, 3560), List(2028, 11043), List(1982, 4282), List(7088, 11476), List(3165, 8045), List(2919, 4606), List(9861, 11247), List(3228, 6115), List(5874, 11029), List(1447, 4123), List(7772, 10573), List(1826, 4119), List(5764, 10110), List(3785, 8103), List(2291, 5387), List(8258, 11220), List(1094, 2665), List(2810, 6891), List(2954, 10053), List(588, 7408), List(10011, 10790), List(4670, 8617), List(6977, 9901), List(1050, 2743), List(3947, 7276), List(9828, 11083), List(934, 5012), List(8365, 10686), List(60, 2004), List(2353, 11526), List(3640, 4315), List(3165, 7240), List(3538, 4038), List(6019, 6441), List(3293, 9869), List(6536, 8623), List(1631, 5879), List(1080, 8220), List(584, 11022), List(7547, 11370), List(6526, 11318), List(4647, 8791), List(7143, 10728), List(2126, 2825), List(2279, 3067), List(355, 1521), List(1809, 4838), List(3020, 10649), List(2366, 5695), List(9248, 10750), List(8090, 8737), List(3542, 9418), List(4939, 8037), List(271, 4452), List(8305, 9076), List(4468, 5419), List(1013, 9226), List(5997, 10573), List(4006, 11215), List(7514, 11206), List(3871, 4382), List(5268, 7165), List(1633, 10782), List(420, 8308), List(6519, 9342), List(6641, 8773), List(4116, 5317), List(8221, 9728), List(219, 855), List(6624, 10297), List(2049, 2739), List(283, 8195), List(2005, 6574), List(6529, 7027), List(9, 9878), List(5011, 6169), List(3055, 5866), List(6134, 9881), List(268, 10546), List(3162, 9146), List(746, 7138), List(990, 9750), List(7683, 9271), List(1864, 4090), List(2296, 9382), List(3659, 6919), List(1293, 10690), List(6671, 8958), List(3372, 6862), List(882, 5871), List(3991, 8597), List(9510, 11234), List(11177, 11434), List(2406, 9900), List(494, 9145), List(2925, 5769), List(2085, 8007), List(660, 3930), List(10980, 11270), List(3917, 6554), List(4481, 8582), List(674, 1384), List(6659, 11176), List(2363, 3787), List(5004, 8357), List(814, 7780), List(2421, 7175), List(6636, 10226), List(5908, 6289), List(8425, 9103), List(5257, 11432), List(2456, 3197), List(4257, 10005), List(5769, 6884), List(3110, 11534), List(4132, 8778), List(2609, 6822), List(6149, 9734), List(6460, 7152), List(1909, 4906), List(9911, 10773), List(503, 8453), List(8505, 10910), List(2182, 10168), List(6490, 9246), List(7971, 10222), List(564, 5696), List(3996, 11519), List(3137, 8819), List(5053, 10447), List(2015, 2299), List(1340, 9300), List(1054, 6462), List(2709, 3619), List(1117, 4532), List(626, 6924), List(10328, 11219), List(49, 10326), List(1446, 5939), List(2426, 10097), List(801, 2202), List(9629, 9905), List(1262, 7515), List(5247, 10289), List(1252, 6046), List(8258, 10228), List(10276, 11409), List(11148, 11338), List(3926, 5811), List(7845, 10998), List(9405, 11301), List(3452, 9338), List(8032, 10824), List(121, 4321), List(714, 11251), List(3615, 4606), List(432, 5903), List(6197, 7815), List(564, 1858), List(6030, 9395), List(1807, 4174), List(4448, 7963), List(3132, 3856), List(117, 7181), List(7333, 8729), List(5153, 9472), List(3133, 5212), List(1474, 6401), List(5531, 5860), List(5615, 11223), List(5269, 10586), List(2375, 5570), List(3751, 7476), List(1825, 4349), List(5304, 5854), List(5705, 6952), List(1130, 3558), List(603, 11211), List(7571, 7739), List(5694, 6039), List(467, 770), List(3119, 9636), List(7560, 7580), List(1336, 6817), List(246, 8880), List(3988, 9267), List(8561, 8828), List(4423, 8441), List(332, 1484), List(4315, 4966), List(5665, 7903), List(3131, 3230), List(4758, 8919), List(1360, 1926), List(5260, 10069), List(3634, 11398), List(3567, 10176), List(360, 499), List(108, 5913), List(9947, 10671), List(4343, 9616), List(5437, 7672), List(3787, 5197), List(4313, 10905), List(3537, 4268), List(1259, 8640), List(2000, 11304), List(4865, 5002), List(2414, 10355), List(6170, 8196), List(10598, 11540), List(1599, 7927), List(971, 8358), List(5570, 9894), List(4675, 6009), List(2923, 11171), List(5082, 10305), List(3363, 9191), List(3886, 11218), List(7936, 9506), List(346, 5273), List(5163, 5948), List(1481, 5612), List(2396, 9375), List(2107, 2856), List(1666, 4611), List(10361, 11196), List(8145, 10030), List(2443, 7686), List(49, 7911), List(5873, 11184), List(4719, 10788), List(6142, 8376), List(8547, 10949), List(139, 1388), List(3942, 11096), List(5838, 11348), List(9961, 10703), List(2963, 10546), List(721, 9657), List(5891, 7976), List(5545, 7339), List(5483, 6461), List(1407, 6952), List(2993, 6224), List(6630, 8315), List(10652, 10971), List(6528, 8038), List(1392, 2887), List(9620, 10760), List(2419, 9520), List(395, 10776), List(1923, 5906), List(4342, 7431), List(7396, 10450), List(4434, 10403), List(8895, 9723), List(1191, 5233), List(8205, 9276), List(3532, 5347), List(4030, 9007), List(3068, 3900), List(363, 8205), List(7070, 10815), List(5389, 6021), List(1347, 6096), List(4853, 5260), List(288, 9724), List(3144, 11250), List(6855, 10072), List(1771, 7363), List(2146, 6486), List(3543, 9269), List(4107, 11297), List(6543, 8265), List(4692, 7786), List(8936, 9323), List(5130, 11395), List(6336, 10446), List(991, 10783), List(1070, 2970), List(3033, 4444), List(3315, 3376), List(3256, 6179), List(1862, 7077), List(135, 1938), List(926, 3191), List(2548, 10788), List(9764, 11582), List(4119, 8274), List(2880, 6831), List(1970, 4166), List(3972, 4814), List(4772, 9593), List(7328, 11581), List(3027, 3094), List(9255, 10392), List(8818, 10391), List(5020, 5908), List(8499, 11577), List(3301, 5548), List(1969, 7324), List(345, 6070), List(3016, 5564), List(254, 2919), List(1527, 10362), List(2642, 9295), List(2181, 2484), List(3170, 5250), List(3980, 10717), List(9587, 9791), List(2367, 10753), List(2608, 7432), List(217, 7174), List(1425, 7052), List(3438, 7135), List(4377, 11292), List(7744, 10304), List(3480, 10744), List(6049, 9584), List(5245, 7315), List(1033, 2283), List(3498, 4907), List(180, 10675), List(9160, 9350), List(982, 5701), List(6579, 9749), List(6075, 7772), List(4299, 6124), List(2941, 7433), List(4467, 8152), List(1724, 9721), List(7297, 9211), List(881, 1862), List(437, 4100), List(1901, 8859), List(816, 10512), List(9434, 11023), List(8842, 11111), List(5454, 5560), List(1371, 9044), List(34, 6312), List(5354, 7608), List(1517, 8115), List(9865, 11209), List(5446, 10580), List(8436, 9642), List(4573, 11180), List(3317, 11288), List(7093, 11259), List(1026, 8228), List(1518, 8690), List(3474, 8993), List(5621, 5858), List(7825, 10427), List(1825, 8618), List(5749, 8487), List(7299, 8102), List(10318, 11312), List(982, 11312), List(3718, 6320), List(2376, 3244), List(4922, 10960), List(1063, 3572), List(3588, 10411), List(7237, 9853), List(872, 9639), List(1629, 5646), List(818, 6370), List(3397, 10062), List(5103, 9436), List(590, 1258), List(3568, 4467), List(1836, 9507), List(3942, 6371), List(112, 3885), List(9239, 10881), List(4628, 7830), List(5712, 8204), List(2699, 5186), List(3454, 6782), List(5904, 8374), List(302, 976), List(2101, 9963), List(764, 5733), List(2512, 3081), List(6768, 6907), List(2012, 7639), List(675, 9825), List(5334, 9160), List(6297, 11459), List(3563, 7856), List(4527, 6593), List(2158, 4431), List(3672, 7799), List(661, 2198), List(3897, 10361), List(4012, 10873), List(3339, 5869), List(8442, 8628), List(2835, 3892), List(5604, 6927), List(1022, 8778), List(1, 6474), List(10479, 10990), List(7029, 8725), List(6877, 10583), List(396, 2839), List(4317, 5443), List(5507, 10377), List(4509, 5613), List(4837, 10582), List(890, 3347), List(2220, 4154), List(5342, 8997), List(6990, 11399), List(3781, 11475), List(8201, 10794), List(5859, 7045), List(9092, 9275), List(790, 6526), List(255, 5990), List(6829, 7509), List(9315, 11010), List(1402, 7844), List(6331, 9484), List(9846, 10646), List(197, 9395), List(3306, 5705), List(9601, 10815), List(374, 4369), List(1926, 4057), List(1010, 7963), List(3426, 3555), List(1335, 10005), List(6875, 7103), List(9063, 10385), List(369, 7408), List(1615, 9241), List(7988, 9346), List(684, 5699), List(1950, 11217), List(7526, 7972), List(4405, 6737), List(3350, 11265), List(577, 5078), List(7030, 10774), List(487, 2152), List(666, 3615), List(2456, 6824), List(10064, 10882), List(4059, 9483), List(764, 10539), List(2106, 6445), List(6736, 9546), List(1980, 10278), List(263, 5827), List(426, 7511), List(5674, 7241), List(477, 7476), List(43, 11156), List(6755, 10727), List(2555, 3046), List(7503, 8900), List(7974, 8485), List(3311, 5244), List(6449, 10620), List(2342, 5382), List(4238, 4880), List(6872, 8279), List(1280, 2323), List(6161, 6955), List(6663, 8105), List(1435, 9781), List(2144, 8026), List(3073, 4325), List(1982, 3534), List(4108, 5938), List(3411, 10736), List(3049, 9566), List(8044, 8850), List(540, 10807), List(6623, 11308), List(6666, 7248), List(5065, 11051), List(3061, 3160), List(320, 5556), List(7287, 9783), List(4735, 7914), List(26, 2076), List(4240, 11318), List(4925, 5005), List(157, 10638), List(1783, 2893), List(1180, 10736), List(4798, 9367), List(1400, 6538), List(5006, 10070), List(1336, 4833), List(6778, 7812), List(2172, 5105), List(10578, 11587), List(2982, 4156), List(9539, 10232), List(180, 8528), List(982, 3554), List(8765, 10811), List(1050, 5378), List(7364, 8286), List(5655, 10866), List(6961, 7115), List(514, 4617), List(2754, 8843), List(5868, 8907), List(1718, 7005), List(7896, 11530), List(8954, 9929), List(8104, 11479), List(3894, 9526), List(1946, 3422), List(4403, 5431), List(2276, 5054), List(5741, 6853), List(159, 9529), List(1005, 1821), List(1187, 7719), List(4081, 6319), List(230, 5208), List(2465, 9090), List(3053, 5096), List(8715, 9539), List(10045, 11100), List(2617, 5697), List(901, 10516), List(8344, 11289), List(3394, 8772), List(4258, 11092), List(9490, 10289), List(8019, 9277), List(7026, 10519), List(894, 2929), List(752, 10393), List(1232, 9340), List(1679, 4367), List(4412, 5493), List(9064, 10073), List(946, 3469), List(1789, 4912), List(608, 7611), List(4140, 5744), List(4515, 4867), List(3682, 4866), List(913, 4460), List(4464, 8285), List(7656, 9760), List(4392, 5965), List(873, 1651), List(6812, 8846), List(65, 6056), List(2455, 2679), List(5749, 8568), List(3579, 9999), List(2695, 6303), List(2206, 9522), List(8250, 10849), List(1495, 4034), List(8458, 11552), List(6027, 8512), List(6625, 9370), List(5947, 6274), List(4326, 7947), List(6344, 9128), List(10163, 11455), List(5930, 7798), List(6611, 10411), List(3006, 10487), List(3973, 7270), List(955, 6914), List(4255, 6202), List(574, 806), List(4299, 5750), List(3705, 11427), List(1222, 1781), List(1309, 4409), List(596, 8674), List(5394, 10797), List(5136, 5843), List(9623, 11302), List(4518, 6962), List(3142, 3558), List(660, 9598), List(268, 5610), List(3413, 7993), List(5911, 6593), List(2177, 10231), List(4156, 5822), List(778, 4369), List(1646, 9814), List(2195, 10810), List(10450, 10707), List(7394, 7615), List(3784, 9599), List(1821, 8125), List(7963, 9987), List(1301, 3363), List(1567, 8208), List(538, 3377), List(8603, 9566), List(6860, 10310), List(795, 8860), List(5053, 9349), List(6020, 6886), List(2813, 3625), List(9060, 10973), List(2258, 8476), List(2351, 5257), List(138, 9270), List(726, 3024), List(7281, 9027), List(4110, 5423), List(3796, 9959), List(219, 4913), List(967, 9502), List(5039, 5105), List(4817, 6978), List(5465, 7199), List(5685, 9417), List(6068, 9155), List(8518, 9993), List(6723, 10547), List(2630, 9179), List(4221, 8795), List(609, 7700), List(7543, 10316), List(2316, 5047), List(2350, 10293), List(6149, 11214), List(6171, 8529), List(2105, 4046), List(4193, 10130), List(1809, 6936), List(1659, 9621), List(5586, 9007), List(5648, 10639), List(1680, 7465), List(4980, 7507), List(1220, 5760), List(8556, 11574), List(1689, 8682), List(6935, 7585), List(4227, 5957), List(589, 5893), List(1518, 6356), List(740, 9472), List(6194, 7550), List(516, 4102), List(4843, 7394), List(9708, 11493), List(1771, 10185), List(7430, 8695), List(2581, 9236), List(1917, 2840), List(1972, 7465), List(5836, 8781), List(5593, 9023), List(10257, 10954), List(6119, 8315), List(5248, 5578), List(9126, 10764), List(538, 8183), List(259, 2352), List(2905, 7266), List(6754, 8304), List(2182, 10843), List(602, 9107), List(191, 8075), List(3367, 9771), List(1655, 5664), List(5295, 8026), List(8994, 10995), List(8030, 11477), List(6469, 7539), List(715, 7671), List(472, 10165), List(622, 1064), List(6468, 8068), List(4757, 6815), List(4222, 10443), List(4540, 9032), List(2976, 11239), List(6549, 10127), List(6932, 9865), List(1664, 2343), List(858, 9827), List(1138, 5680), List(6898, 7248), List(5905, 9244), List(10318, 11556), List(3193, 10126), List(191, 3887), List(4805, 10619), List(3719, 9418), List(7256, 7895), List(2648, 5115), List(8742, 9969), List(3277, 6040), List(718, 9416), List(3022, 4767), List(4572, 10044), List(5878, 7047), List(100, 4119), List(6695, 7269), List(1301, 2826), List(2980, 4541), List(2021, 5367), List(123, 2790), List(2571, 2801), List(4625, 10809), List(3730, 6924), List(4838, 5440), List(3695, 10121), List(4409, 8710), List(1138, 11291), List(4053, 4352), List(8261, 10396), List(10165, 10509), List(922, 9946), List(9292, 10355), List(996, 1035), List(163, 1034), List(1348, 5624), List(4555, 8885), List(5260, 10394), List(6920, 7895), List(2956, 8627), List(3023, 3433), List(3142, 5599), List(5731, 9979), List(1090, 10469), List(4677, 7535), List(4546, 8018), List(4322, 9064), List(497, 506), List(2773, 6641), List(3969, 5004), List(2270, 5266), List(7337, 9122), List(1520, 3987), List(4942, 8368), List(429, 2442), List(8517, 10335), List(1454, 9783), List(8450, 9113), List(3321, 4379), List(7632, 8666), List(8069, 9421), List(1568, 10070), List(2937, 10805), List(7691, 9246), List(470, 938), List(4611, 8012), List(5612, 10041), List(3458, 5589), List(11023, 11455), List(2337, 6087), List(2646, 6842), List(2400, 3403), List(9316, 11075), List(1529, 7082), List(2181, 8957), List(4077, 8455), List(6971, 7055), List(3550, 5528), List(7371, 10180), List(6342, 10267), List(8176, 8887), List(6808, 8754), List(9901, 10947), List(4543, 6915), List(1731, 10599), List(9418, 10978), List(5712, 6838), List(5629, 11499), List(4944, 10642), List(5371, 6545), List(1637, 10183), List(8509, 11167), List(574, 4270), List(3696, 11365), List(773, 1447), List(1713, 5482), List(3648, 11324), List(4458, 10375), List(3739, 5026), List(1443, 7284), List(7350, 11531), List(6820, 8333), List(7025, 9519), List(1360, 10440), List(9391, 11383), List(4857, 10996), List(704, 2407), List(2386, 7803), List(1137, 5672), List(2105, 8315), List(890, 5014), List(8739, 10639), List(895, 3106), List(5623, 6742), List(1545, 6406), List(4373, 10802), List(512, 9003), List(5596, 8302), List(8741, 9931), List(10790, 11179), List(4957, 10072), List(2557, 6345), List(7228, 9447), List(7882, 7985), List(7391, 10377), List(2568, 3471), List(2258, 8907), List(8349, 10080), List(5208, 10822), List(10554, 11087), List(6414, 9873), List(848, 5138), List(9965, 10692), List(4863, 10787), List(2559, 2604), List(6690, 8236), List(2239, 3188), List(1518, 7592), List(5601, 8272), List(6005, 8133), List(4202, 8826), List(2837, 8964), List(6013, 6496), List(2730, 10595), List(1644, 2978), List(5941, 7559), List(5593, 10259), List(2699, 5243), List(946, 1135), List(4505, 8985), List(2889, 5340), List(368, 11452), List(611, 2542), List(2402, 4498), List(6980, 11573), List(3405, 3944), List(4060, 5336), List(4778, 7050), List(2402, 7881), List(3455, 6690), List(1226, 4508), List(5491, 6168), List(632, 10185), List(1528, 10508), List(630, 2942), List(126, 5129), List(1467, 10232), List(9242, 9300), List(7316, 11091), List(6380, 7205), List(34, 11175), List(3761, 10530), List(4888, 5316), List(1331, 10344), List(1178, 2932), List(4378, 9186), List(4856, 5778), List(3046, 5300), List(214, 1162), List(3419, 10012), List(1167, 2773), List(5318, 7529), List(203, 3255), List(8107, 8587), List(7026, 7730), List(4281, 8472), List(2409, 7116), List(2907, 4360), List(5152, 8930), List(6761, 8371), List(10338, 11165), List(1900, 11561), List(749, 3549), List(688, 5525), List(1777, 3991), List(970, 2205), List(1178, 5160), List(3881, 4946), List(7652, 10235), List(394, 8461), List(2259, 2984), List(803, 7168), List(2365, 7544), List(6312, 11369), List(2389, 8692), List(3640, 5234), List(1862, 2759), List(8398, 10964), List(860, 6921), List(1822, 3360), List(8862, 9378), List(5804, 8869), List(8202, 10271), List(3589, 4141), List(5746, 8864), List(968, 7393), List(231, 10510), List(1902, 8200), List(2189, 5224), List(1129, 5998), List(31, 9698), List(1725, 6029), List(6105, 6703), List(6504, 10384), List(1397, 10135), List(1870, 5629), List(8743, 10221), List(1237, 2683), List(247, 4196), List(9080, 10745), List(6222, 7638), List(6179, 10974), List(4852, 6678), List(579, 3622), List(3311, 10562), List(3060, 6779), List(547, 11254), List(2600, 2822), List(3749, 7755), List(10562, 11542), List(5082, 8833), List(600, 1466), List(6298, 8572), List(6513, 10446), List(290, 486), List(8130, 10529), List(5981, 10585), List(66, 1532), List(2593, 5034), List(3830, 5650), List(3838, 9675), List(593, 3678), List(6575, 8291), List(3075, 7437), List(1462, 3309), List(428, 9468), List(366, 1420), List(622, 6301), List(1143, 5249), List(8483, 8553), List(5566, 8249), List(1547, 2858), List(1137, 11096), List(2921, 10353), List(1085, 10906), List(1398, 9151), List(297, 9170), List(1735, 5538), List(2079, 6102), List(4790, 11411), List(10470, 10798), List(7708, 8153), List(3868, 4979), List(8210, 9303), List(1569, 3556), List(641, 4449), List(389, 2693), List(284, 5151), List(9633, 10274), List(591, 9243), List(4077, 5503), List(200, 3171), List(780, 5732), List(467, 1071), List(9286, 10166), List(2273, 8977), List(4365, 6135), List(2706, 7324), List(5178, 11119), List(2243, 6102), List(464, 773), List(1749, 2561), List(6041, 6798), List(2053, 3726), List(2, 153), List(2266, 11189), List(5500, 5693), List(3170, 9121), List(149, 2832), List(10825, 11497), List(1200, 11394), List(4471, 5780), List(3297, 8896), List(2073, 7761), List(239, 2725), List(1171, 2705), List(5835, 9554), List(293, 9377), List(3844, 6032), List(4535, 10087), List(361, 621), List(4089, 9246), List(2248, 9455), List(293, 6344), List(10339, 10449), List(561, 7098), List(4290, 5745), List(683, 11410), List(7598, 9812), List(1561, 8875), List(360, 9444), List(2490, 2922), List(8242, 10264), List(4565, 10272), List(2767, 11309), List(2082, 11206), List(7426, 10644), List(270, 3485), List(4153, 9015), List(4378, 11577), List(4994, 9631), List(8741, 10362), List(106, 8746), List(4028, 7788), List(4492, 5448), List(3277, 9317), List(4249, 6444), List(2664, 10780), List(5085, 6716), List(4085, 5289), List(4864, 11443), List(67, 11420), List(4652, 6834), List(6013, 9960), List(4358, 6387), List(1032, 8130), List(4426, 4801), List(1002, 3003), List(10176, 11343), List(1899, 11098), List(3365, 5350), List(8175, 10516), List(7560, 9654), List(6777, 8262), List(2599, 8476), List(2229, 3281), List(85, 3681), List(2227, 6618), List(3851, 8626), List(8549, 9387), List(8759, 10917), List(3306, 3615), List(3961, 11423), List(3031, 11489), List(5980, 9796), List(7695, 11168), List(3304, 3919), List(2032, 6500), List(523, 9168), List(5724, 9052), List(7721, 9356), List(7065, 7739), List(1991, 9882), List(9028, 9213), List(6220, 9633), List(587, 3676), List(6755, 6759), List(5814, 8945), List(5318, 10993), List(1552, 6048), List(4788, 7795), List(3795, 9791), List(5821, 9335), List(2798, 7881), List(210, 11273), List(3047, 8585), List(5339, 8837), List(6569, 6754), List(1858, 6505), List(1328, 4061), List(2699, 4869), List(5706, 7318), List(1547, 6054), List(3967, 11187), List(10665, 11052), List(5094, 5973), List(821, 2917), List(6335, 7462), List(7412, 10075), List(435, 2881), List(1498, 1624), List(6446, 7478), List(3829, 8220), List(10083, 10323), List(1561, 6110), List(8617, 9655), List(3768, 7944), List(256, 10463), List(2463, 8133), List(1644, 11248), List(3979, 8164), List(9345, 9805), List(2736, 6979), List(993, 3559), List(2460, 7835), List(586, 9062), List(6248, 10095), List(2638, 9827), List(1604, 4652), List(3049, 4443), List(7987, 9609), List(1134, 6423), List(5898, 9716), List(8081, 9244), List(6367, 8474), List(2876, 5454), List(609, 6952), List(7665, 10497), List(7613, 10307), List(7983, 9086), List(4746, 7868), List(9849, 10627), List(1378, 9385), List(815, 7959), List(166, 9765), List(3619, 10049), List(5611, 10009), List(905, 10104), List(8028, 8455), List(2525, 8206), List(2797, 6450), List(6998, 11323), List(4248, 8715), List(5374, 6282), List(9549, 9934), List(4960, 10614), List(4303, 6143), List(7525, 10436), List(1503, 7178), List(2438, 10839), List(2280, 3837), List(4336, 5502), List(788, 1948), List(4955, 7237), List(1541, 6881), List(1816, 8806), List(5866, 7094), List(1213, 10233), List(282, 6691), List(2310, 8560), List(1749, 10213), List(2057, 8114), List(1522, 5326), List(4512, 10050), List(310, 5706), List(6469, 6791), List(10113, 10807), List(1204, 9366), List(4975, 8239), List(9823, 10479), List(1481, 11337), List(6713, 10534), List(1137, 5111), List(2009, 7292), List(1890, 3628), List(2659, 9094), List(3942, 10055), List(5721, 8968), List(792, 912), List(7798, 8477), List(6079, 10369), List(1134, 8196), List(2992, 4958), List(528, 5942), List(655, 799), List(8445, 9227), List(1962, 7072), List(5798, 11258), List(1399, 2236), List(492, 3252), List(4949, 11498), List(252, 7175), List(252, 759), List(2110, 4691), List(5039, 11391), List(2453, 11446), List(4354, 11288), List(1823, 11050), List(8271, 9986), List(9391, 10017), List(5150, 5745), List(2724, 3049), List(4630, 10405), List(5070, 10677), List(1698, 9069), List(793, 6748), List(6775, 10607), List(2792, 7879), List(1638, 2602), List(5627, 9282), List(766, 5302), List(1542, 5523), List(133, 1225), List(8201, 11095), List(918, 2663), List(2101, 6426), List(4747, 4924), List(1196, 1853), List(222, 1647), List(7816, 8251), List(6422, 9149), List(6006, 7773), List(4077, 11545), List(3624, 11011), List(1501, 5872), List(2526, 8295), List(683, 5425), List(6446, 10674), List(1491, 3649), List(5730, 11258), List(25, 3735), List(5410, 9590), List(2757, 7669), List(4575, 6510), List(810, 10835), List(3888, 4826), List(10383, 10778), List(2735, 3157), List(5684, 7880), List(269, 1062), List(7338, 8976), List(2625, 7900), List(2752, 9927), List(21, 179), List(5272, 10006), List(1693, 11303), List(2567, 7895), List(2195, 6037), List(68, 9824), List(5326, 10242), List(7423, 7744), List(355, 2684), List(6237, 9345), List(2710, 6668), List(8878, 9751), List(1347, 7633), List(3701, 8763), List(6661, 10612), List(4979, 6347), List(3850, 4318), List(51, 1145), List(3514, 9287), List(829, 7828), List(8492, 10065), List(7738, 7913), List(4221, 10088), List(4223, 4499), List(6705, 10510), List(1479, 5843), List(2091, 7161), List(8816, 11101), List(5115, 11469), List(97, 7505), List(1494, 6124), List(10057, 10338), List(3892, 6772), List(1156, 9512), List(3712, 11500), List(464, 1822), List(1778, 2850), List(5353, 10479), List(809, 9404), List(3579, 5494), List(9186, 10230), List(332, 2834), List(3981, 7194), List(1558, 10431), List(2926, 7558), List(7435, 10332), List(5041, 5639), List(3062, 10078), List(3098, 5571), List(2731, 4057), List(2884, 5053), List(2973, 10006), List(9788, 10456), List(4062, 8472), List(3594, 6152), List(3652, 10294), List(2532, 3847), List(3240, 4873), List(1385, 5376), List(1218, 6202), List(1221, 9883), List(4297, 10217), List(1685, 8297), List(2994, 11233), List(1836, 8466), List(3916, 4109), List(4979, 7770), List(660, 11509), List(2090, 3098), List(2303, 10561), List(4569, 5428), List(1685, 5264), List(4073, 5978), List(2946, 4776), List(394, 9323), List(7836, 9871), List(4503, 8191), List(274, 2024), List(5098, 5368), List(1483, 7008), List(4382, 10116), List(2315, 7538), List(7702, 10810), List(6143, 9951), List(4751, 5260), List(3906, 7154), List(8228, 10102), List(2311, 4386), List(8329, 10154), List(1223, 8774), List(3938, 5911), List(7921, 8639), List(68, 10442), List(5945, 6179), List(1745, 4914), List(7357, 9994), List(4370, 8951), List(4590, 7005), List(1156, 4519), List(3549, 4823), List(1596, 8955), List(1370, 8420), List(2953, 4011), List(7839, 8987), List(4050, 6502), List(275, 3723), List(254, 2846), List(4662, 11230), List(5197, 8356), List(2454, 3509), List(643, 5058), List(2757, 4449), List(3500, 4530), List(10010, 10760), List(2443, 8231), List(4848, 10804), List(2407, 6322), List(1202, 3709), List(323, 357), List(2468, 3565), List(4534, 5918), List(3973, 7571), List(5114, 8479), List(4654, 10938), List(297, 11187), List(5827, 7597), List(1312, 11424), List(10930, 11110), List(918, 1671), List(4281, 4691), List(3330, 6189), List(196, 8102), List(1686, 6912), List(8408, 11335), List(8558, 11279), List(241, 4088), List(11235, 11342), List(8988, 10863), List(8251, 10570), List(1589, 3946), List(2957, 6708), List(824, 881), List(2573, 9751), List(4161, 9850), List(6714, 8157), List(916, 3853), List(850, 5485), List(1158, 3386), List(2534, 7544), List(2933, 11225), List(411, 1651), List(3252, 7006), List(4582, 7813), List(2092, 3412), List(10063, 10720), List(3272, 7658), List(4146, 4250), List(125, 5202), List(4987, 9030), List(686, 1297), List(2998, 9341), List(4741, 6345), List(5360, 8080), List(7971, 9775), List(318, 1810), List(8315, 10339), List(2054, 4059), List(4855, 6632), List(161, 8242), List(254, 4269), List(5665, 5683), List(6096, 8121), List(6782, 11078), List(9641, 10623), List(3543, 6781), List(6867, 10627), List(176, 1353), List(4442, 10785), List(3381, 4918), List(7085, 8985), List(2531, 3058), List(1235, 4491), List(731, 3268), List(724, 6261), List(1670, 4419), List(1109, 6072), List(4777, 10482), List(2698, 11277), List(7941, 10663), List(2349, 4707), List(5888, 6263), List(881, 3212), List(2379, 6047), List(6075, 6089), List(1935, 9039), List(3858, 6950), List(2156, 7695), List(284, 8591), List(3054, 8845), List(5635, 9200), List(5612, 7496), List(5608, 10760), List(149, 5922), List(3240, 11452), List(6005, 7198), List(3425, 10451), List(405, 7016), List(9297, 10008), List(2552, 10297), List(28, 11230), List(615, 2130), List(124, 10938), List(2075, 10897), List(1392, 5205), List(4105, 7177), List(5564, 10838), List(3716, 9876), List(1666, 9157), List(3097, 11524), List(3775, 4040), List(3876, 4092), List(504, 3238), List(3711, 6499), List(7602, 10392), List(2810, 4297), List(692, 5918), List(7969, 8119), List(56, 5707), List(2681, 5580), List(651, 2884), List(2641, 6181), List(906, 6786), List(1359, 1658), List(10295, 11338), List(396, 11410), List(2545, 9102), List(10008, 10527), List(3562, 5221), List(4066, 7198), List(7770, 10511), List(857, 7274), List(4812, 8708), List(9915, 11467), List(5803, 5885), List(6372, 8257), List(3934, 10462), List(145, 1561), List(3460, 8327), List(9561, 10188), List(6861, 8421), List(8418, 8453), List(841, 5236), List(1780, 6387), List(5085, 6773), List(3213, 4663), List(9656, 10425), List(2244, 4801), List(1989, 4282), List(6393, 9484), List(2429, 3800), List(2152, 5966), List(2898, 9728), List(5439, 9930), List(5721, 8862), List(9962, 10882), List(8522, 11435), List(5356, 8175), List(1870, 5499), List(834, 4415), List(7960, 9453), List(3848, 8035), List(3044, 5766), List(807, 10139), List(2548, 8568), List(6706, 9607), List(1787, 2239), List(2882, 11073), List(5832, 9982), List(1809, 7855), List(9045, 10779), List(821, 3779), List(3592, 9893), List(2334, 2758), List(7160, 7683), List(1690, 9072), List(7596, 10465), List(31, 2347), List(500, 7521), List(3955, 4468), List(4161, 8508), List(59, 3614), List(1184, 8153), List(2141, 6500), List(4485, 11049), List(3425, 11069), List(3914, 4844), List(3829, 9432), List(2368, 9108), List(4665, 9704), List(6227, 10080), List(780, 6757), List(8615, 10040), List(7526, 9322), List(2951, 8934), List(6244, 11215), List(4382, 10547), List(3282, 7758), List(5398, 9474), List(3748, 6245), List(6776, 8043), List(4093, 9663), List(4053, 10264), List(5585, 6267), List(122, 3939), List(9149, 9573), List(7122, 10558), List(7667, 8372), List(2342, 6732), List(3981, 9048), List(7372, 7700), List(1685, 11306), List(7282, 11190), List(2639, 9355), List(717, 8636), List(7780, 9188), List(648, 10751), List(188, 8292), List(2454, 7323), List(2755, 10469), List(4472, 8504), List(9112, 10041), List(3840, 11445), List(20, 9647), List(4901, 7863), List(3166, 9222), List(6948, 7530), List(4112, 6656), List(8361, 8537), List(3621, 9802), List(2721, 5573), List(9844, 10340), List(4672, 11194), List(196, 8533), List(2811, 7718), List(2183, 8149), List(101, 9427), List(5486, 11118), List(9557, 10283), List(9710, 11279), List(470, 10233), List(4073, 7832), List(6196, 6555), List(931, 4966), List(934, 8647), List(872, 7769), List(5199, 11061), List(7682, 7875), List(7591, 8511), List(619, 907), List(1711, 5306), List(4668, 8392), List(96, 10931), List(2677, 4870), List(1480, 2929), List(5440, 11123), List(5564, 6463), List(1973, 6245), List(6902, 7885), List(2533, 4367), List(3785, 4517), List(480, 721), List(1790, 10675), List(238, 3817), List(2251, 4654), List(545, 8663), List(2847, 3187), List(697, 5270), List(3240, 9305), List(1378, 8637), List(1801, 4044), List(4853, 6236), List(4739, 9332), List(6126, 6509), List(3832, 10348), List(4921, 8814), List(1182, 7944), List(958, 5984), List(8616, 8631), List(4168, 9516), List(2050, 3967), List(4568, 10389), List(642, 1025), List(4965, 6827), List(8208, 9745), List(1057, 9346), List(3874, 6036), List(8180, 8451), List(5768, 8871), List(4524, 7084), List(1110, 6728), List(43, 9741), List(7486, 10514), List(2593, 4367), List(2968, 3490), List(3250, 6586), List(8346, 8928), List(6140, 7696), List(1162, 10301), List(1886, 9578), List(2750, 5482), List(933, 3833), List(2281, 10107), List(5116, 7346), List(3368, 7746), List(5326, 8876), List(379, 5876), List(8834, 8867), List(6700, 9955), List(67, 10485), List(5793, 10971), List(7601, 10622), List(5703, 8045), List(2546, 4147), List(619, 2330), List(343, 3186), List(4422, 6376), List(3946, 9830), List(5472, 8297), List(1355, 2371), List(2757, 5498), List(2861, 5821), List(2911, 5184), List(4256, 7777), List(78, 7991), List(272, 11240), List(1480, 11118), List(4499, 7912), List(5932, 6188), List(7195, 8779), List(7257, 9657), List(2118, 4235), List(3189, 7757), List(2217, 4214), List(4517, 8491), List(219, 3685), List(263, 10373), List(2648, 6652), List(1029, 9152), List(7696, 9704), List(9218, 11435), List(2430, 8644), List(7137, 11403), List(7624, 11521), List(5917, 7758), List(1034, 7217), List(8876, 10917), List(1030, 3311), List(772, 4773), List(7998, 11173), List(2480, 4974), List(8245, 11050), List(1738, 8501), List(3511, 9097), List(7515, 10423), List(4215, 11135), List(3349, 7988), List(7676, 11280), List(8669, 9284), List(6792, 7584), List(2817, 8127), List(699, 9748), List(2478, 8661), List(138, 821), List(2257, 6972), List(6551, 7872), List(1842, 4286), List(4930, 9545), List(730, 8280), List(7388, 10998), List(1220, 7915), List(6987, 10654), List(3265, 4503), List(5670, 7076), List(4823, 8143), List(2082, 10539), List(3926, 10601), List(2056, 2902), List(1620, 5755), List(1983, 9779), List(2945, 6218), List(4732, 5746), List(644, 2470), List(9024, 9983), List(3012, 11577), List(3690, 10509), List(7958, 10188), List(611, 3461), List(7677, 7694), List(757, 3286), List(2501, 5396), List(479, 6725), List(3712, 4791), List(3650, 3913), List(6368, 11147), List(7223, 9217), List(11190, 11412), List(7828, 11246), List(3938, 4545), List(6083, 11163), List(3740, 3806), List(8566, 8731), List(1849, 4652), List(5047, 10079), List(8562, 11241), List(2927, 4457), List(6266, 7083), List(4632, 5141), List(2983, 4766), List(1331, 1464), List(2461, 6347), List(1900, 3836), List(5501, 10434), List(3073, 6911), List(2455, 8030), List(549, 1428), List(2577, 3297), List(4044, 4567), List(202, 6982), List(5845, 7965), List(370, 9010), List(3700, 10392), List(4003, 7949), List(1663, 10689), List(2561, 5423), List(664, 1536), List(5366, 11121), List(1324, 4026), List(8574, 10820), List(3717, 4330), List(1091, 11402), List(1662, 4021), List(3124, 7199), List(724, 3472), List(5326, 8689), List(3113, 6286), List(8094, 8116), List(6046, 11230), List(8097, 8387), List(1528, 4206), List(5101, 9510), List(6, 10022), List(97, 10140), List(8655, 9846), List(2769, 5695), List(7657, 11498), List(799, 7214), List(5420, 10953), List(1432, 7881), List(5783, 9315), List(5310, 6651), List(6710, 8951), List(4695, 5035), List(4941, 8474), List(4070, 4983), List(4846, 5204), List(3099, 10710), List(3629, 7492), List(1666, 6018), List(3078, 3417), List(4308, 7780), List(1732, 7769), List(5622, 8808), List(5889, 5954), List(6052, 7638), List(5020, 8925), List(3430, 10665), List(283, 1039), List(9503, 10478), List(354, 9550), List(1252, 11454), List(8227, 9153), List(37, 8153), List(5233, 6939), List(10028, 10299), List(3015, 4946), List(4166, 4290), List(1584, 4464), List(1145, 7046), List(8928, 10139), List(2113, 3273), List(6101, 7099), List(4317, 7842), List(865, 10412), List(2169, 4336), List(9302, 9791), List(5441, 7992), List(4839, 9644), List(1365, 8483), List(1701, 2016), List(2700, 3972), List(9661, 10663), List(2794, 3607), List(7921, 10924), List(3807, 8679), List(2225, 3864), List(857, 10901), List(1941, 4105), List(3377, 6816), List(6367, 11540), List(10443, 11049), List(1665, 2709), List(10154, 10946), List(4772, 8772), List(135, 4500), List(2998, 3787), List(6322, 7633), List(5425, 9337), List(6788, 6874), List(4109, 5984), List(3028, 5127), List(1404, 1621), List(378, 7641), List(708, 2857), List(4073, 7458), List(10361, 10643), List(282, 4146), List(4783, 8557), List(2820, 7837), List(4535, 11461), List(1464, 5055), List(9116, 9385), List(6189, 8393), List(2696, 8710), List(4284, 4645), List(1054, 10260), List(3812, 11251), List(3261, 7930), List(6267, 6771), List(1534, 2791), List(4312, 9322), List(1822, 2669), List(5051, 10415), List(7356, 8620), List(128, 5557), List(1225, 8048), List(5045, 9065), List(308, 7595), List(5480, 6741), List(1691, 6508), List(1959, 7262), List(6511, 6700), List(1903, 7330), List(844, 10958), List(187, 6487), List(7188, 10325), List(4941, 9092), List(5440, 6561), List(5792, 10396), List(3416, 7063), List(4479, 10724), List(1769, 8269), List(9208, 11552), List(5438, 6865), List(2294, 7336), List(1358, 3450), List(353, 10347), List(2354, 8141), List(9790, 11153), List(72, 7853), List(3475, 4610), List(4686, 10421), List(2969, 5970), List(3528, 7654), List(601, 7416), List(2439, 6909), List(1768, 3506), List(4202, 10981), List(3462, 7007), List(6342, 7429), List(1744, 8747), List(2453, 7746), List(6976, 7944), List(936, 9742), List(5913, 7666), List(992, 10805), List(610, 4095), List(5878, 9365), List(7675, 8103), List(1945, 8629), List(3808, 6489), List(4028, 8707), List(327, 1905), List(2309, 3429), List(1906, 6422), List(1539, 11324), List(5359, 6706), List(6105, 10468), List(224, 4409), List(1164, 8414), List(2830, 5760), List(1271, 9065), List(1690, 7706), List(4861, 4894), List(2063, 6756), List(1117, 2182), List(7343, 8653), List(2769, 11119), List(6310, 7086), List(2043, 8763), List(4037, 4632), List(496, 2249), List(3978, 7435), List(2259, 9327), List(2479, 11545), List(17, 2022), List(8423, 8504), List(945, 3014), List(6118, 7266), List(5493, 11378), List(4151, 9056), List(4467, 10982), List(6112, 6697), List(8634, 9855), List(4706, 6834), List(6703, 7138), List(1813, 4672), List(2429, 6890), List(5300, 10956), List(854, 10416), List(5455, 5609), List(658, 6340), List(1835, 6905), List(5393, 11147), List(9869, 11529), List(4521, 8185), List(7162, 8591), List(407, 5940), List(679, 4184), List(1707, 11042), List(716, 6695), List(124, 9035), List(2645, 2923), List(1676, 3061), List(748, 5452), List(1245, 6258), List(5037, 10172), List(9641, 11298), List(2738, 8749), List(3638, 4310), List(3068, 10381), List(3844, 4186), List(9852, 10020), List(7183, 9818), List(2140, 10520), List(8458, 10918), List(822, 6340), List(390, 4431), List(2669, 10083), List(2602, 8861), List(5248, 7359), List(2502, 4493), List(1129, 11186), List(4742, 8719), List(4347, 11573), List(1068, 6746), List(2033, 9118), List(142, 9964), List(2905, 9047), List(4684, 8714), List(6697, 8797), List(5141, 5957), List(3336, 5069), List(4728, 7508), List(9101, 11145), List(5727, 9464), List(5233, 8175), List(403, 10678), List(6514, 6811), List(2150, 4391), List(4292, 7328), List(5092, 5691), List(1024, 3791), List(4379, 9956), List(2493, 4730), List(2338, 7071), List(2644, 10561), List(1335, 1963), List(2983, 7775), List(22, 11336), List(3281, 4207), List(2787, 7836), List(3497, 8935), List(5126, 11287), List(109, 3384), List(4651, 8550), List(7390, 9491), List(6485, 7170), List(2973, 9689), List(4341, 7570), List(1469, 6285), List(9595, 10498), List(3590, 9099), List(1188, 10961), List(358, 7471), List(2555, 10869), List(3095, 8339), List(2114, 10372), List(6286, 10343), List(991, 3627), List(3554, 9038), List(3821, 6938), List(5261, 6385), List(1837, 5341), List(8401, 8424), List(7616, 10369), List(3073, 5732), List(6311, 8306), List(6370, 8886), List(4510, 4881), List(1141, 1292), List(1008, 8118), List(4653, 7818), List(3963, 9623), List(171, 3457), List(4559, 8156), List(3435, 10635), List(2690, 6317), List(6146, 10282), List(2677, 4577), List(7157, 8865), List(1554, 4248), List(7557, 9738), List(1774, 6466), List(965, 10269), List(3639, 10815), List(3819, 9470), List(902, 3504), List(685, 4967), List(2108, 2555), List(1051, 7010), List(8771, 9781), List(2073, 9916), List(5753, 9425), List(2921, 5287), List(1861, 6061), List(2510, 6507), List(3626, 6796), List(7896, 9554), List(2165, 6472), List(10012, 11270), List(2097, 7277), List(1040, 5316), List(1592, 3577), List(581, 10629), List(1882, 7288), List(2651, 5584), List(5823, 9790), List(635, 10865), List(1688, 7422), List(2524, 7694), List(4981, 5539), List(342, 6856), List(37, 6974), List(3321, 11421), List(3176, 8788), List(3016, 10785), List(3298, 3301), List(7212, 11150), List(3045, 3609), List(4698, 5601), List(1740, 3798), List(2767, 7048), List(5291, 6869), List(3104, 9851), List(4816, 7542), List(3190, 5461), List(1196, 2422), List(509, 1492), List(3791, 10754), List(6453, 9031), List(10262, 11394), List(5215, 11196), List(4243, 6899), List(4831, 7823), List(1068, 6559), List(1257, 9464), List(1754, 10270), List(503, 4306), List(1100, 2310), List(702, 7899), List(4778, 7408), List(3002, 5760), List(5741, 7455), List(3750, 10349), List(4989, 5376), List(5959, 8846), List(1596, 3645), List(3017, 6822), List(214, 7586), List(5609, 10719), List(6566, 6814), List(3918, 5237), List(1557, 2936), List(5538, 5591), List(1522, 11051), List(2394, 10980), List(154, 338), List(3144, 5062), List(5310, 6895), List(3704, 10354), List(2671, 6535), List(176, 7452), List(1824, 7602), List(2135, 9184), List(2601, 4261), List(4221, 8779), List(1005, 1268), List(860, 5051), List(1782, 10759), List(5772, 8996), List(1314, 9193), List(2776, 5955), List(345, 2915), List(3679, 7449), List(3872, 5592), List(7915, 9125), List(563, 4306), List(10719, 11215), List(2736, 6556), List(654, 3670), List(7006, 9314), List(2840, 6879), List(3081, 9974), List(6286, 10156), List(9346, 9957), List(2302, 7203), List(5436, 10925), List(7027, 10541), List(5936, 8996), List(5960, 7138), List(1230, 2675), List(1675, 9707), List(4168, 7963), List(7919, 11122), List(2820, 9236), List(3379, 6756), List(3315, 9215), List(9507, 10440), List(3194, 10386), List(4679, 8852), List(642, 9271), List(5363, 9484), List(1168, 8563), List(1383, 10437), List(7009, 8807), List(5605, 9017), List(4896, 10772), List(2690, 6130), List(5993, 9099), List(4306, 6742), List(10211, 10943), List(4850, 7394), List(1372, 8743), List(33, 10102), List(1960, 8913), List(5444, 10762), List(4228, 4607), List(7221, 9602), List(7054, 8176), List(8683, 10528), List(923, 10610), List(202, 1428), List(5289, 10824), List(8016, 10250), List(5067, 5527), List(772, 7408), List(5531, 10357), List(5909, 9751), List(2414, 9241), List(5735, 7154), List(4369, 4438), List(2598, 5386), List(2560, 2650), List(608, 3220), List(8720, 11507), List(1758, 4591), List(1276, 11263), List(7198, 10907), List(3216, 11033), List(3837, 7179), List(7932, 10902), List(6968, 11384), List(5719, 9253), List(3461, 7831), List(1769, 11546), List(1463, 1640), List(3202, 3406), List(5629, 9710), List(581, 5904), List(1918, 2220), List(2363, 9252), List(2953, 6085), List(2199, 7343), List(5992, 10701), List(2687, 3899), List(3791, 10567), List(7917, 9439), List(2755, 8729), List(1313, 6203), List(2906, 8898), List(4124, 9464), List(562, 1316), List(5859, 8078), List(1187, 4751), List(5880, 5922), List(4106, 5101), List(1179, 4109), List(3104, 8509), List(5041, 11014), List(2121, 4777), List(3360, 6974), List(7028, 10630), List(3041, 8160), List(3987, 6318), List(1143, 1419), List(7847, 10898), List(4625, 6605), List(3205, 6282), List(993, 7487), List(7230, 7731), List(5309, 9866), List(5839, 6648), List(3659, 7391), List(199, 5936), List(4376, 6251), List(11160, 11552), List(4092, 6492), List(5644, 6180), List(6898, 8655), List(1829, 11142), List(3808, 6733), List(3927, 8145), List(1509, 3058), List(10337, 10761), List(3370, 6507), List(8170, 9457), List(691, 3365), List(2810, 4598), List(3341, 11404), List(622, 4699), List(56, 6008), List(2182, 8412), List(6669, 9707), List(4290, 6103), List(4045, 6272), List(7966, 8122), List(3171, 3264), List(22, 3391), List(5247, 7833), List(5718, 7418), List(6072, 8670), List(1263, 11296), List(461, 4192), List(4915, 8757), List(3442, 11082), List(1771, 9982), List(4029, 4234), List(3880, 10527), List(5093, 10749), List(4090, 5641), List(5495, 8285), List(3367, 9218), List(5834, 7751), List(975, 5352), List(6360, 7043), List(1473, 9012), List(912, 4249), List(9474, 11244), List(386, 8340), List(66, 8924), List(2590, 5739), List(7435, 10714), List(6201, 9615), List(5767, 6879), List(3398, 4717), List(4265, 10718), List(3800, 7915), List(1622, 3069), List(4884, 6037), List(6009, 6412), List(1595, 10291), List(6031, 7891), List(4914, 8131), List(8337, 9704), List(1608, 4110), List(1451, 10542), List(358, 1754), List(9074, 9216), List(2952, 6478), List(5280, 6387), List(5459, 8604), List(139, 4275), List(2879, 8070), List(2463, 2530), List(3412, 11539), List(1164, 10081), List(229, 9803), List(4228, 6648), List(2059, 10933), List(492, 3797), List(2303, 11293), List(503, 11503), List(5066, 6966), List(7867, 8785), List(372, 2160), List(241, 9813), List(7710, 8801), List(9296, 10325), List(1170, 3860), List(2363, 9065), List(8729, 11409), List(6774, 10550), List(8584, 8776), List(418, 1000), List(4062, 5016), List(6087, 7368), List(6950, 9463), List(4656, 9138), List(9007, 10572), List(5738, 6433), List(6147, 10802), List(5061, 10355), List(8261, 10193), List(3001, 8948), List(9157, 10516), List(5511, 10591), List(4079, 8753), List(657, 1366), List(1933, 8326), List(7100, 7128), List(3697, 6207), List(3710, 4160), List(2053, 6930), List(1157, 11488), List(6061, 11408), List(2869, 9179), List(8246, 11009), List(3017, 9831), List(2459, 11001), List(1838, 2023), List(5850, 10407), List(585, 8818), List(306, 7151), List(1388, 10862), List(3719, 3872), List(4804, 4848), List(3682, 8127), List(970, 1839), List(2558, 4190), List(6510, 8359), List(7227, 10629), List(252, 5760), List(3268, 6043), List(6258, 10767), List(9100, 9177), List(318, 9763), List(1333, 10000), List(780, 11514), List(4985, 7461), List(2455, 2907), List(6059, 9776), List(6377, 8365), List(548, 2496), List(6530, 9361), List(2335, 8440), List(76, 3440), List(55, 2563), List(9511, 10589), List(4571, 8760), List(8480, 9095), List(797, 8835), List(5465, 6004), List(7643, 9352), List(5744, 8802), List(5732, 7287), List(1439, 9995), List(1783, 9805), List(6234, 8437), List(4214, 6429), List(45, 4477), List(546, 2019), List(3772, 3832), List(1652, 3872), List(6760, 7729), List(4330, 7543), List(6384, 8381), List(2313, 9970), List(539, 4985), List(4696, 9586), List(2810, 3606), List(1179, 5345), List(7135, 10235), List(10108, 10821), List(2460, 3200), List(6128, 11020), List(3788, 9596), List(550, 4770), List(1090, 2240), List(4973, 8524), List(7089, 10240), List(864, 6623), List(4601, 6666), List(5320, 5599), List(1543, 6157), List(9383, 9784), List(1136, 8250), List(3942, 10413), List(5088, 9413), List(231, 2923), List(3128, 8210), List(1325, 1733), List(9031, 9332), List(2594, 5270), List(7547, 11468), List(8882, 9209), List(5520, 9043), List(3056, 9273), List(10659, 11459), List(1129, 8210), List(1261, 3411), List(7417, 11395), List(6426, 7802), List(9490, 10785), List(968, 6572), List(2587, 7482), List(808, 2153), List(1613, 7276), List(4388, 10880), List(4114, 5393), List(1179, 4540), List(8687, 9872), List(3135, 4843), List(1680, 5465), List(3576, 5717), List(9080, 9574), List(2824, 3638), List(7092, 9733), List(7609, 7781), List(5840, 7304), List(4945, 5671), List(5533, 5841), List(4874, 6959), List(3938, 9489), List(2325, 9525), List(5954, 7591), List(2027, 11588), List(382, 8703), List(1903, 2662), List(7319, 10836), List(1632, 8026), List(4051, 9551), List(6489, 8100), List(3469, 11081), List(1659, 9849), List(7318, 11365), List(1972, 8848), List(1134, 7749), List(1068, 9381), List(6104, 10918), List(1040, 7333), List(9839, 10134), List(4364, 11179), List(2743, 7190), List(11265, 11403), List(1272, 6178), List(5540, 5857), List(3952, 4260), List(7121, 10447), List(2049, 2837), List(1928, 11178), List(8619, 9872), List(4285, 5409), List(3202, 8643), List(4636, 9773), List(6628, 9733), List(3445, 11030), List(773, 4895), List(3380, 4219), List(6339, 9630), List(4252, 10564), List(3567, 4045), List(3682, 10973), List(2694, 6143), List(1293, 10788), List(4583, 9388), List(49, 9001), List(384, 10977), List(5616, 10174), List(2166, 7155), List(3028, 8648), List(4986, 9778), List(726, 7708), List(9900, 10386), List(6691, 10462), List(6441, 9533), List(911, 1045), List(2621, 8489), List(217, 3108), List(5636, 7793), List(6823, 9800), List(214, 6220), List(9056, 9068), List(426, 3632), List(5068, 5996), List(4347, 5482), List(4505, 6822), List(3289, 7083), List(5809, 9414), List(1021, 11389), List(5532, 10826), List(4318, 10379), List(1326, 8992), List(820, 3936), List(2418, 6975), List(4837, 6248), List(1351, 3572), List(4597, 6761), List(1362, 7868), List(1637, 9793), List(6047, 8424), List(7384, 11156), List(6081, 11418), List(1687, 2740), List(3710, 8429), List(5299, 7218), List(2369, 6709), List(10123, 11316), List(3463, 5519), List(4825, 11499), List(744, 5230), List(6297, 9703), List(3701, 8316), List(1951, 7889), List(2484, 4188), List(2580, 3896), List(369, 9490), List(8739, 9899), List(10173, 11029), List(8363, 10551), List(5772, 9508), List(2014, 2172), List(9443, 11183), List(771, 3239), List(5184, 6305), List(2006, 7946), List(8446, 9273), List(2195, 10851), List(1438, 2012), List(7979, 10561), List(696, 1375), List(5654, 7917), List(6265, 9791), List(5484, 9226), List(2911, 9486), List(6791, 9083), List(507, 1853), List(10847, 11323), List(1339, 4635), List(8222, 9915), List(8196, 8694), List(994, 1190), List(3216, 10472), List(7901, 11028), List(1123, 6673), List(3081, 7803), List(10116, 10471), List(4407, 5458), List(3637, 9189), List(5342, 9119), List(1522, 8075), List(830, 6047), List(615, 2675), List(7083, 10931), List(4178, 5756), List(9687, 9957), List(4623, 6372), List(5271, 10757), List(1658, 2644), List(3823, 4252), List(4949, 7481), List(503, 525), List(6320, 9043), List(4637, 10592), List(654, 694), List(492, 2618), List(3456, 6121), List(1553, 5452), List(1923, 4231), List(3366, 9611), List(9400, 10250), List(5444, 8591), List(1428, 9887), List(2137, 8132), List(2116, 7255), List(2758, 4278), List(8485, 9870), List(7394, 9079), List(5594, 9289), List(9859, 10949), List(6251, 7344), List(9888, 10189), List(1822, 10191), List(6648, 10952), List(1755, 2553), List(1885, 8261), List(5364, 9766), List(3194, 4027), List(9004, 11374), List(823, 1038), List(790, 9226), List(576, 10960), List(138, 10734), List(7325, 7380), List(2683, 9180), List(1998, 2661), List(7001, 8222), List(184, 6945), List(1744, 10658), List(3358, 7814), List(65, 2527), List(3229, 9124), List(3886, 7933), List(1561, 5289), List(2671, 4632), List(1673, 5530), List(4518, 7621), List(1808, 11582), List(7243, 11138), List(1020, 1932), List(546, 1295), List(2294, 8442), List(2564, 5859), List(1949, 4997), List(1066, 10571), List(7819, 10143), List(4216, 6882), List(9720, 10739), List(4740, 5347), List(747, 10976), List(3488, 7082), List(2922, 4227), List(8281, 11113), List(3682, 10331), List(4513, 9505), List(5792, 7314), List(4828, 7796), List(2834, 4757), List(5599, 7673), List(1179, 1938), List(962, 3401), List(6132, 8136), List(309, 1301), List(1287, 8072), List(294, 10068), List(1696, 9031), List(6112, 8608), List(9449, 11161), List(1445, 8631), List(10163, 10504), List(9006, 10591), List(2378, 9967), List(292, 3175), List(1123, 9519), List(7826, 9728), List(1216, 3294), List(4135, 10060), List(4947, 5774), List(4079, 5964), List(854, 1373), List(1170, 9715), List(2166, 4203), List(925, 6097), List(2635, 9377), List(2747, 3956), List(9608, 11167), List(2972, 6518), List(1203, 1877), List(198, 6522), List(1715, 9407), List(5832, 8917), List(5111, 9157), List(3177, 6169), List(1372, 6035), List(3679, 7319), List(1130, 9885), List(3176, 6698), List(4074, 7848), List(689, 5978), List(3015, 11476), List(1924, 9931), List(1146, 7385), List(590, 9382), List(655, 9777), List(2365, 4389), List(3287, 6687), List(4171, 8131), List(1084, 9890), List(2359, 6826), List(10354, 11522), List(6653, 7726), List(335, 11492), List(5182, 6714), List(5808, 9620), List(6742, 10427), List(5658, 6643), List(3077, 6288), List(6238, 9204), List(6673, 8378), List(644, 6585), List(3190, 3721), List(1693, 7904), List(2350, 5959), List(4877, 9461), List(2152, 5974), List(3652, 5472), List(816, 10260), List(10587, 10942), List(7921, 8005), List(3833, 6981), List(42, 10839), List(4452, 9470), List(7253, 11289), List(3634, 6771), List(2682, 8768), List(2116, 5913), List(8119, 11403), List(7945, 9530), List(3929, 4410), List(3106, 10035), List(2392, 5030), List(9900, 10362), List(5072, 8774), List(9955, 10069), List(1775, 2587), List(2855, 3219), List(2103, 8310), List(583, 10789), List(1201, 3254), List(2444, 5570), List(4376, 7731), List(6645, 9689), List(1597, 6637), List(4773, 10585), List(2696, 5791), List(3993, 11376), List(6011, 6141), List(7072, 8975), List(1536, 5580), List(6360, 9678), List(6324, 7769), List(3743, 7414), List(8091, 11583), List(8251, 9586), List(1184, 11544), List(1091, 2685), List(9807, 10147), List(4552, 9246), List(3052, 3332), List(10765, 11348), List(2955, 9815), List(744, 8239), List(3042, 5273), List(1822, 8044), List(4690, 7675), List(3475, 10790), List(3757, 7470), List(7707, 8560), List(4245, 10442), List(2390, 10945), List(833, 4497), List(8914, 10465), List(10, 10122), List(5987, 10227), List(3770, 4672), List(9931, 9967), List(4415, 8759), List(1777, 7870), List(3621, 7932), List(5474, 10766), List(443, 3157), List(7745, 10141), List(5191, 8199), List(310, 1315), List(3365, 7188), List(5202, 9489), List(3110, 5915), List(4906, 8215), List(2165, 10611), List(3631, 4863), List(1397, 8753), List(3159, 5807), List(4220, 8641), List(10823, 10898), List(1785, 8111), List(4534, 9740), List(241, 6032), List(3942, 9047), List(7478, 11086), List(1600, 10960), List(2436, 8980), List(6302, 7713), List(406, 6284), List(10340, 10902), List(6757, 8293), List(446, 2650), List(5260, 6060), List(1831, 3918), List(124, 6571), List(7290, 8756), List(2935, 9832), List(223, 10714), List(8091, 9973), List(5321, 7467), List(7528, 10799), List(7445, 9044), List(3763, 9462), List(920, 10827), List(1923, 3857), List(7717, 10671), List(1521, 9704), List(9049, 11524), List(4097, 8934), List(1136, 2696), List(2755, 3606), List(9071, 9593), List(2538, 5823), List(609, 3179), List(891, 6275), List(6617, 9013), List(6491, 9840), List(1625, 8522), List(1251, 10001), List(3889, 4474), List(4329, 11162), List(1693, 4684), List(2310, 5592), List(1312, 11408), List(3029, 9443), List(8743, 9912), List(6318, 10070), List(1872, 9530), List(5783, 7282), List(905, 6331), List(4671, 11276), List(34, 2840), List(4079, 7200), List(1739, 3524), List(2699, 5552), List(2585, 4484), List(184, 9954), List(1545, 5910), List(2665, 10105), List(4876, 5265), List(646, 5289), List(928, 8385), List(3352, 10254), List(5336, 6189), List(9267, 9481), List(4938, 9526), List(5657, 8459), List(1796, 6660), List(8795, 9671), List(5686, 7699), List(103, 351), List(1955, 10854), List(8732, 9322), List(2533, 3920), List(2405, 4674), List(101, 7825), List(7728, 10405), List(3585, 9674), List(7858, 9697), List(5790, 10681), List(7264, 8958), List(4174, 6282), List(2656, 5424), List(1529, 4976), List(5732, 9922), List(3423, 7811), List(1434, 5116), List(5541, 6190), List(2483, 6435), List(5349, 9403), List(36, 2862), List(1928, 5624), List(6778, 10943), List(1306, 2837), List(5530, 9414), List(3126, 4033), List(3390, 5769), List(2046, 6784), List(7047, 9266), List(3186, 7467), List(3468, 10563), List(7893, 10226), List(2162, 7898), List(256, 542), List(1107, 1846), List(8851, 9929), List(4840, 10815), List(4957, 5738), List(7013, 7403), List(1507, 9135), List(4433, 10656), List(1694, 2545), List(3834, 5409), List(4708, 6165), List(252, 9818), List(718, 11311), List(5109, 9892), List(6384, 6828), List(1310, 2555), List(3636, 8053), List(4417, 8618), List(2025, 11168), List(597, 6820), List(5700, 10333), List(1399, 1846), List(3291, 3854), List(372, 1225), List(4190, 6360), List(810, 11250), List(867, 5368), List(856, 6707), List(4089, 8937), List(680, 8925), List(978, 6138), List(3254, 5857), List(989, 10434), List(3279, 6853), List(452, 3813), List(44, 2298), List(1064, 4377), List(1260, 2037), List(2148, 2499), List(814, 4202), List(1939, 8741), List(2658, 7674), List(5144, 11175), List(6107, 10468), List(3851, 5739), List(5227, 9897), List(9055, 9304), List(2398, 3024), List(813, 7360), List(2714, 7956), List(10207, 11502), List(1026, 1991), List(659, 6893), List(458, 2473), List(1170, 5153), List(4330, 8568), List(3260, 7900), List(5092, 10611), List(8335, 9365), List(1823, 6472), List(4945, 7151), List(5726, 6962), List(10547, 11543), List(3187, 6863), List(7487, 10961), List(3065, 10815), List(5181, 6115), List(3469, 9178), List(3407, 7546), List(4532, 5669), List(5055, 7696), List(1440, 9336), List(1401, 6375), List(3374, 8537), List(10251, 10619), List(4523, 7808), List(2085, 7007), List(4010, 5745), List(5828, 11002), List(9372, 10650), List(1213, 10461), List(8687, 10547), List(3200, 10077), List(1806, 10975), List(3544, 9887), List(2652, 6273), List(3294, 3296), List(4785, 11376), List(4131, 4170), List(7363, 11433), List(1262, 7320), List(1981, 6253), List(1972, 9173), List(555, 8367), List(3562, 4400), List(3304, 3610), List(7851, 11372), List(2438, 6879), List(8940, 9084), List(542, 965), List(349, 6986), List(2056, 4333), List(1916, 8460), List(3213, 6875), List(2774, 10211), List(6177, 6968), List(8095, 8699), List(5329, 8564), List(7, 10605), List(1143, 4753), List(6010, 8925), List(3759, 6792), List(1281, 8070), List(9299, 10306), List(2266, 5432), List(4403, 8025), List(4444, 8026), List(3623, 4652), List(4195, 10705), List(5707, 6830), List(8107, 9059), List(8451, 8869), List(5798, 10331), List(1655, 9600), List(7630, 8124), List(3648, 5998), List(8250, 11215), List(3176, 6942), List(3308, 9313), List(1813, 2989), List(660, 7736), List(3516, 9262), List(1560, 3297), List(4762, 8843), List(4662, 5229), List(5252, 8478), List(8801, 9224), List(3254, 8703), List(1084, 3718), List(798, 3132), List(1080, 6228), List(247, 5473), List(674, 5540), List(2234, 11505), List(3628, 4191), List(6176, 7816), List(5718, 11102), List(2351, 6428), List(5868, 7663), List(6917, 8982), List(1158, 11022), List(3250, 8180), List(8518, 9286), List(4218, 10823), List(2632, 2883), List(4562, 8381), List(3999, 9207), List(4302, 6764), List(8634, 10400), List(4178, 5008), List(2684, 8708), List(8621, 9414), List(7129, 9777), List(4732, 5567), List(1805, 8739), List(8904, 8948), List(1588, 3786), List(3792, 4191), List(2145, 5397), List(4018, 9607), List(4476, 4823), List(2039, 7630), List(3193, 6491), List(7248, 11539), List(2420, 10705), List(2607, 4115), List(7646, 11585), List(1268, 4720), List(6361, 7545), List(4031, 10973), List(11190, 11233), List(3905, 8390), List(2749, 6450), List(884, 1347), List(7922, 10702), List(1979, 9427), List(2354, 9304), List(1289, 8980), List(3033, 9592), List(6615, 7812), List(2775, 4638), List(3005, 7544), List(9624, 10334), List(5298, 10650), List(4859, 6816), List(6199, 9065), List(504, 2230), List(1930, 3499), List(7683, 10312), List(7719, 9969), List(7758, 9143), List(998, 1984), List(801, 11269), List(3392, 10060), List(2363, 5983), List(4132, 4208), List(2012, 4248), List(8796, 10303), List(5788, 10635), List(5478, 9655), List(4157, 5204), List(891, 11162), List(7923, 10149), List(2954, 9834), List(294, 6742), List(5928, 9891), List(269, 2713), List(50, 9765), List(2049, 10896), List(143, 3540), List(3599, 9757), List(4447, 11544), List(3470, 7657), List(571, 8713), List(4094, 7484), List(5142, 5949), List(3653, 9993), List(2256, 4958), List(4033, 10214), List(1478, 4664), List(5208, 9952), List(4517, 9280), List(4454, 8177), List(7317, 7464), List(2740, 10413), List(3862, 4855), List(994, 1060), List(3917, 4562), List(7349, 10385), List(6654, 8840), List(10172, 10273), List(3515, 10409), List(3391, 8653), List(3360, 7088), List(4657, 5503), List(1950, 8981), List(4937, 7772), List(1890, 2514), List(3538, 9080), List(1356, 1826), List(4566, 9522), List(896, 4285), List(4870, 9933), List(1350, 2011), List(618, 8478), List(1759, 7134), List(2874, 6067), List(19, 979), List(3470, 6852), List(3315, 9947), List(2899, 7817), List(3719, 7556), List(3194, 4702), List(3746, 5969), List(3056, 4768), List(6980, 11053), List(1619, 3340), List(6355, 11001), List(3371, 7223), List(3493, 8906), List(2868, 8854), List(4430, 9230), List(8157, 8585), List(6655, 8260), List(4507, 11170), List(1306, 11107), List(5638, 8327), List(10736, 11496), List(1335, 3931), List(6066, 11248), List(9359, 9365), List(9400, 10120), List(6712, 9144), List(4095, 9132), List(4532, 9133), List(4944, 7357), List(9256, 9617), List(4490, 9661), List(3947, 5447), List(893, 9598), List(4907, 8229), List(2321, 7530), List(4556, 7248), List(1720, 5620), List(2726, 8747), List(3430, 6648), List(1534, 7150), List(845, 3141), List(5146, 5212), List(4423, 10287), List(9464, 10670), List(904, 3721), List(4732, 5380), List(1614, 11236), List(8838, 10393), List(5968, 6525), List(1458, 4280), List(4948, 7075), List(984, 7807), List(3047, 9862), List(6685, 9145), List(3820, 9785), List(1418, 5231), List(600, 4784), List(3252, 7234), List(6793, 9617), List(3300, 9934), List(4425, 10309), List(3494, 6767), List(932, 10626), List(5820, 5849), List(8039, 11450), List(4292, 4303), List(9128, 9916), List(4517, 6865), List(1679, 11580), List(2589, 7829), List(2861, 6073), List(6524, 7133), List(9978, 11025), List(3235, 5725), List(5506, 11516), List(6213, 8934), List(6180, 6542), List(2135, 6346), List(2201, 10349), List(1821, 4466), List(2139, 7219), List(3192, 6028), List(3069, 7126), List(139, 6617), List(259, 303), List(166, 4276), List(171, 4620), List(6239, 10505), List(6886, 7872), List(2598, 10924), List(5707, 10644), List(3025, 3821), List(1825, 7968), List(1106, 2619), List(1464, 6299), List(1842, 5693), List(5264, 10074), List(2098, 7568), List(3421, 7204), List(7873, 9444), List(6283, 7020), List(8368, 9423), List(2924, 3365), List(2748, 7835), List(522, 1063), List(2743, 7491), List(2431, 5684), List(5073, 7446), List(4792, 11368), List(2669, 8481), List(3388, 5162), List(4467, 5192), List(449, 9825), List(5184, 8216), List(6240, 10706), List(705, 1120), List(2759, 8374), List(6670, 9536), List(4155, 6768), List(6015, 11527), List(2622, 4878), List(3680, 8195), List(2379, 5120), List(1131, 5843), List(8846, 9024), List(5272, 10665), List(5143, 7811), List(9809, 10569), List(1629, 10257), List(686, 2948), List(2611, 7348), List(4102, 9766), List(4179, 5260), List(3515, 6034), List(5144, 8386), List(3358, 8302), List(6035, 8365), List(3115, 8544), List(2241, 5536), List(5104, 8987), List(3791, 11567), List(3354, 4396), List(3543, 5049), List(960, 10283), List(717, 11279), List(2802, 7266), List(3423, 9828), List(7087, 10332), List(4594, 6414), List(175, 9949), List(2226, 7106), List(10008, 10755), List(672, 10755), List(3253, 3940), List(1427, 9345), List(5966, 10830), List(1818, 9755), List(1484, 4217), List(3810, 9715), List(8672, 9379), List(6275, 11585), List(503, 2086), List(2968, 11126), List(6054, 9896), List(344, 1275), List(692, 8374), List(8689, 9733), List(6607, 6847), List(974, 5054), List(1158, 1199), List(8506, 10780), List(5925, 11179), List(3151, 10429), List(7972, 10846), List(2175, 2980), List(7529, 10276), List(2579, 7759), List(8346, 10498), List(1149, 2584), List(7711, 9758), List(1517, 4700), List(1450, 3478), List(9525, 10355), List(5869, 9742), List(1674, 8821), List(3322, 8971), List(5963, 9377), List(5378, 6472), List(7890, 8188), List(2919, 7046), List(6613, 10425), List(5620, 6005), List(931, 7959), List(6707, 10060), List(6001, 9080), List(4411, 10066), List(791, 11362), List(228, 5772), List(5833, 10435), List(1915, 11512), List(5186, 6652), List(100, 6526), List(2218, 4905), List(1106, 9653), List(2247, 4145), List(8692, 9980), List(4899, 5841), List(1847, 4403), List(389, 10012), List(5110, 10225), List(2005, 10624), List(3397, 6647), List(2423, 6441), List(2294, 3587), List(934, 4069), List(1677, 8314), List(1611, 3530), List(616, 8863), List(733, 9448), List(3565, 7170), List(3728, 8854), List(2327, 6329), List(3199, 9264), List(1606, 6569), List(2141, 3695), List(5869, 5904), List(4284, 10240), List(1877, 11004), List(198, 3627), List(5874, 6248), List(385, 9869), List(1012, 9213), List(3739, 9393), List(7689, 9729), List(4482, 6468), List(4203, 7053), List(6546, 8748), List(216, 419), List(5885, 6787), List(4792, 10831), List(4212, 8270), List(8907, 10268), List(5535, 8660), List(4012, 7458), List(7193, 9498), List(5758, 10395), List(7532, 8964), List(4734, 10826), List(3392, 5498), List(8995, 9334), List(8315, 9575), List(650, 9921), List(2887, 4050), List(2484, 9295), List(1049, 7940), List(1361, 8966), List(3454, 8978), List(8581, 10633), List(489, 5250), List(1754, 2252), List(883, 9341), List(4365, 8111), List(8415, 8651), List(6479, 9000), List(3099, 7474), List(5305, 6454), List(3529, 7058), List(2128, 10949), List(1163, 2161), List(2785, 9758), List(6104, 6844), List(5197, 7860), List(8838, 10824), List(4850, 7752), List(7817, 10772), List(2958, 8373), List(57, 8602), List(6655, 11269), List(3826, 10812), List(309, 2407), List(7652, 10146), List(955, 6719), List(4896, 9975), List(4741, 6654), List(117, 9003), List(6457, 10880), List(1065, 3854), List(8284, 8329), List(7893, 8673), List(3067, 8666), List(347, 605), List(4773, 8040), List(4427, 7403), List(2904, 10365), List(1059, 6668), List(1434, 5791), List(3915, 8948), List(1282, 8403), List(5570, 6105), List(3708, 4683), List(6256, 9062), List(9093, 11292), List(2266, 2911), List(3239, 9308), List(5016, 8148), List(9520, 9824), List(10077, 11435), List(4920, 11069), List(7747, 8447), List(244, 1207), List(1866, 8804), List(5493, 10207), List(4846, 6424), List(11289, 11432), List(7144, 9874), List(4192, 4853), List(8581, 9023), List(3653, 3821), List(6633, 7857), List(1621, 4462), List(1223, 10051), List(944, 11390), List(841, 1089), List(9725, 10579), List(2712, 9390), List(5107, 6357), List(2678, 7527), List(7500, 10044), List(1275, 10591), List(3615, 7851), List(406, 7927), List(2212, 5253), List(6071, 6225), List(6590, 10762), List(7273, 8540), List(4286, 7497), List(110, 10036), List(3694, 9837), List(1051, 8604), List(6488, 10485), List(1273, 6731), List(1979, 11094), List(2098, 6844), List(360, 7932), List(174, 4544), List(2132, 5674), List(2966, 9283), List(4251, 7661), List(6646, 8792), List(4617, 8950), List(4056, 4187), List(917, 5756), List(884, 9780), List(664, 1146), List(499, 3553), List(11066, 11494), List(973, 9071), List(5820, 7703), List(3245, 11300), List(131, 8230), List(6691, 8161), List(3174, 6172), List(4294, 10367), List(1407, 2358), List(11119, 11505), List(1548, 1839), List(3676, 5070), List(8065, 9240), List(1931, 4987), List(1365, 2132), List(8205, 10748), List(3516, 6286), List(4282, 5819), List(887, 8923), List(9259, 10159), List(983, 9385), List(1545, 10586), List(925, 8626), List(2909, 4561), List(918, 1793), List(264, 6665), List(7829, 8367), List(7201, 8798), List(354, 8810), List(5920, 7129), List(5326, 7144), List(2158, 9473), List(4121, 10947), List(7385, 8326), List(1179, 2507), List(660, 10021), List(3585, 7934), List(1677, 6167), List(32, 3282), List(1907, 9073), List(3830, 6984), List(282, 1178), List(6310, 9916), List(3044, 9458), List(1645, 10012), List(7285, 11478), List(2366, 4110), List(1361, 11007), List(1087, 9684), List(4839, 5871), List(7645, 8788), List(52, 11454), List(3107, 4495), List(1906, 5064), List(6685, 9389), List(8972, 9297), List(7573, 9851), List(2967, 7898), List(394, 11568), List(382, 10053), List(5208, 10814), List(3842, 7344), List(4590, 5517), List(3986, 10506), List(3678, 6189), List(2090, 3838), List(1465, 3786), List(2184, 3473), List(5394, 10415), List(2037, 10593), List(10373, 11418), List(194, 7723), List(1894, 10315), List(2033, 6687), List(3360, 4567), List(2931, 7837), List(244, 670), List(6513, 10975), List(4677, 11528), List(1957, 7631), List(1893, 10090), List(2206, 8335), List(957, 6204), List(898, 4843), List(3511, 7365), List(8841, 10103), List(3323, 8068), List(5225, 9266), List(7933, 10894), List(824, 3581), List(9762, 9924), List(3912, 5430), List(7556, 8692), List(8834, 10063), List(892, 1995), List(7519, 9564), List(8011, 9272), List(81, 2719), List(9695, 11331), List(8604, 10540), List(1380, 8350), List(3281, 8192), List(4642, 4902), List(2059, 10136), List(4142, 10214), List(7201, 10571), List(2368, 5229), List(3703, 6380), List(222, 8966), List(3054, 5934), List(3856, 7376), List(2583, 4070), List(1459, 6549), List(2983, 10605), List(8344, 8492), List(6087, 6571), List(2107, 7524), List(1983, 5014), List(8485, 10602), List(139, 2673), List(3874, 8305), List(3977, 9184), List(3042, 8152), List(3009, 5760), List(292, 2134), List(610, 7893), List(693, 3232), List(157, 5881), List(6794, 7722), List(4860, 5488), List(8566, 10382), List(5013, 5730), List(5018, 6828), List(2611, 7592), List(7061, 9005), List(1526, 3583), List(3489, 5057), List(1775, 6539), List(4693, 9697), List(1672, 3408), List(3211, 9250), List(123, 985), List(7971, 8637), List(179, 4300), List(50, 1446), List(5810, 7178), List(775, 8495), List(7371, 10335), List(6169, 11433), List(6497, 10710), List(384, 7334), List(1631, 7140), List(4559, 10986), List(7011, 8487), List(1541, 4214), List(5302, 8061), List(2749, 4092), List(5419, 9400), List(4113, 5981), List(6767, 9258), List(6294, 6594), List(3532, 10365), List(3491, 3948), List(7720, 10115), List(4151, 6438), List(5918, 10252), List(443, 11297), List(2766, 10862), List(6107, 10151), List(214, 8993), List(5627, 7070), List(1408, 5001), List(1672, 9019), List(3351, 10734), List(1489, 10066), List(10895, 11559), List(7550, 8364), List(3785, 10437), List(5712, 5838), List(9134, 10219), List(4199, 9488), List(9579, 10835), List(3472, 9159), List(3157, 10087), List(6113, 9565), List(5744, 11388), List(9013, 9111), List(2507, 3000), List(1194, 5580), List(196, 816), List(6264, 6701), List(503, 11324), List(1434, 8450), List(8476, 8879), List(2220, 2943), List(3584, 9750), List(1657, 4523), List(1027, 10543), List(2118, 2666), List(879, 1223), List(8771, 11456), List(5729, 6542), List(5873, 9704), List(2368, 2814), List(4876, 7794), List(1830, 9554), List(4884, 5403), List(7301, 10265), List(1487, 8434), List(5064, 10474), List(3514, 5197), List(7429, 9484), List(891, 4616), List(8420, 10825), List(6563, 10501), List(4252, 5311), List(8641, 9481), List(7056, 7401), List(826, 3440), List(638, 9805), List(10906, 11293), List(21, 8116), List(7361, 11420), List(11306, 11412), List(7608, 11297), List(1373, 6992), List(6816, 10573), List(2987, 10941), List(161, 10755), List(1302, 5247), List(221, 4390), List(7406, 10789), List(465, 4750), List(268, 7619), List(9113, 10765), List(4815, 8965), List(5960, 7740), List(4621, 9099), List(1983, 8210), List(6742, 11159), List(6492, 10984), List(1318, 2343), List(7510, 10738), List(3313, 6738), List(3994, 9351), List(1188, 7188), List(1941, 11367), List(2461, 7461), List(2118, 10505), List(6223, 8500), List(2687, 6461), List(5168, 9618), List(7845, 9681), List(5897, 9993), List(3609, 6507), List(10430, 10909), List(7622, 11329), List(1457, 7763), List(2582, 5886), List(5135, 10609), List(1522, 6660), List(3757, 5624), List(5575, 10881), List(4763, 8751), List(5685, 8043), List(3634, 4470), List(10392, 10802), List(2390, 2683), List(1353, 3626), List(480, 4226), List(2785, 8847), List(168, 6583), List(3039, 9895), List(8015, 11381), List(4465, 4748), List(7075, 10005), List(2663, 4131), List(1510, 8124), List(6327, 11051), List(6978, 9291), List(4211, 10466), List(3488, 7627), List(3265, 10773), List(1271, 2072), List(10890, 11028), List(6499, 10195), List(7534, 7644), List(390, 7692), List(1274, 4972), List(7960, 9738), List(1079, 8668), List(5315, 5426), List(917, 9838), List(9852, 10248), List(6372, 10770), List(3404, 9777), List(2325, 10501), List(228, 5829), List(915, 5978), List(73, 5891), List(5768, 6310), List(2129, 3392), List(10181, 10874), List(907, 3084), List(7350, 10344), List(2682, 4507), List(655, 7744), List(880, 10306), List(648, 11491), List(2047, 3767), List(3676, 6119), List(1985, 2889), List(4908, 6391), List(219, 8345), List(5922, 9379), List(2299, 4742), List(2121, 5379), List(5228, 11442), List(5730, 6176), List(2772, 10035), List(272, 11362), List(1829, 4978), List(3128, 7226), List(5189, 9235), List(7090, 9077), List(1362, 6266), List(10763, 11579), List(1510, 6164), List(5902, 8353), List(2046, 6898), List(5361, 6494), List(454, 1395), List(2152, 7324), List(1938, 8304), List(6673, 6695), List(4988, 11581), List(5420, 7074), List(5304, 9343), List(3367, 7592), List(1324, 10296), List(9132, 9504), List(4113, 10600), List(1348, 8438), List(970, 2628), List(4421, 9255), List(3860, 10908), List(7824, 9422), List(4739, 7844), List(1311, 8556), List(4365, 9323), List(3181, 7587), List(2982, 9629), List(5910, 11223), List(3630, 8352), List(1341, 7617), List(4512, 8969), List(9455, 10315), List(680, 5656), List(1554, 2248), List(4999, 8306), List(6766, 9868), List(3594, 8291), List(3812, 9682), List(8258, 8724), List(6508, 8297), List(2707, 10713), List(6449, 11100), List(1396, 10333), List(3139, 3173), List(8, 8767), List(1529, 9896), List(4444, 6367), List(4080, 5124), List(9272, 11338), List(5903, 9247), List(8148, 9653), List(3480, 3816), List(1446, 10046), List(8550, 11353), List(393, 1411), List(4226, 7578), List(1702, 2095), List(5021, 5597), List(4131, 8472), List(4038, 8281), List(3971, 7059), List(2952, 7080), List(3807, 11566), List(6957, 7877), List(1067, 10400), List(700, 8886), List(6507, 10300), List(4171, 9749), List(8688, 10132), List(7845, 8689), List(1780, 6485), List(3542, 9955), List(7618, 9464), List(3015, 7028), List(3643, 4345), List(4818, 10499), List(4570, 10397), List(243, 1443), List(10075, 11446), List(1465, 4380), List(9431, 11344), List(185, 684), List(2705, 3015), List(2975, 4596), List(3040, 4991), List(540, 4066), List(4089, 10474), List(887, 1141), List(6958, 11461), List(1908, 7582), List(6708, 10532), List(5407, 8211), List(7507, 10922), List(1031, 3522), List(946, 11520), List(1851, 7425), List(822, 9764), List(1749, 9400), List(4426, 10217), List(4680, 11265), List(3204, 9909), List(9212, 10825), List(10404, 10924), List(7159, 11343), List(2656, 5351), List(10617, 11217), List(4982, 10849), List(2585, 6639), List(190, 3256), List(219, 8158), List(317, 5283), List(1394, 8650), List(6760, 10291), List(1963, 11022), List(4234, 10397), List(6971, 8259), List(2666, 9452), List(964, 6033), List(6833, 8325), List(7968, 9388), List(6487, 7688), List(8238, 10969), List(3477, 11357), List(4256, 11095), List(2661, 5321), List(2011, 7656), List(9750, 10477), List(1419, 3580), List(1655, 6331), List(4020, 11003), List(3552, 9437), List(1069, 5453), List(1747, 9303), List(7882, 9994), List(2748, 4135), List(1621, 7097), List(1363, 2143), List(4322, 8308), List(158, 284), List(1119, 11582), List(3576, 7929), List(7584, 8243), List(4633, 6857), List(7155, 10015), List(3819, 3900), List(209, 5884), List(3760, 6703), List(2345, 9006), List(4566, 9018), List(5775, 7586), List(3960, 6764), List(4159, 10357), List(2223, 5044), List(607, 7061), List(3098, 4490), List(3528, 9736), List(1622, 3134), List(906, 2964), List(9216, 9738), List(6948, 7628), List(5821, 7180), List(8221, 8655), List(260, 6953), List(1430, 6347), List(1378, 6157), List(1309, 8272), List(4519, 11050), List(1467, 2442), List(5269, 10050), List(6607, 10718), List(1151, 10315), List(5070, 5676), List(3885, 7879), List(6130, 8285), List(6443, 6530), List(4904, 10487), List(7084, 10498), List(7700, 8552), List(1974, 5814), List(6428, 8881), List(485, 4196), List(1443, 6528), List(2064, 2674), List(5603, 11400), List(100, 10397), List(418, 8986), List(1970, 9428), List(292, 10567), List(3795, 3798), List(2781, 11333), List(1830, 6415), List(7647, 8517), List(3877, 9465), List(3859, 8105), List(5215, 10887), List(3160, 3408), List(739, 1056), List(5744, 7444), List(8691, 9088), List(2185, 9393), List(2417, 2546), List(3623, 8767), List(37, 2477), List(1845, 6292), List(1747, 3505), List(6755, 9410), List(915, 5604), List(601, 7888), List(4338, 7177), List(948, 11379), List(2459, 4650), List(461, 11291), List(2059, 7160), List(1997, 10446), List(3805, 10097), List(2078, 4958), List(568, 8879), List(4066, 8182), List(9203, 9771), List(3478, 4225), List(3999, 9589), List(2223, 8695), List(4105, 4323), List(7150, 9508), List(10727, 11548), List(5118, 10149), List(9980, 10567), List(422, 4516), List(6358, 8030), List(3815, 4749), List(1289, 4101), List(4776, 9631), List(2880, 3717), List(2682, 9394), List(1290, 1293), List(1377, 9583), List(5919, 8333), List(1812, 3095), List(1934, 4024), List(1151, 7550), List(660, 4280), List(2556, 3778), List(7721, 8169), List(2143, 6083), List(597, 3177), List(1987, 11205), List(8745, 11121), List(7589, 9181), List(3541, 10939), List(4969, 8871), List(153, 3136), List(5249, 11140), List(8991, 11527), List(3069, 5467), List(2019, 10339), List(2200, 2803), List(140, 1396), List(5986, 8400), List(5961, 10787), List(2408, 6889), List(3600, 8486), List(3622, 9965), List(411, 9214), List(4431, 5381), List(5014, 5207), List(10683, 10821), List(5366, 9796), List(3711, 6223), List(7878, 11512), List(373, 9861), List(6066, 10207), List(5331, 10741), List(350, 8911), List(3022, 8630), List(1026, 11180), List(4197, 8368), List(2141, 4451), List(2705, 6479), List(8742, 10799), List(3206, 8158), List(5477, 6779), List(2335, 4667), List(3541, 3718), List(5153, 10627), List(2238, 4734), List(294, 7474), List(182, 817), List(1639, 3651), List(2762, 7363), List(8209, 10686), List(4646, 6100), List(3097, 10093), List(4315, 10659), List(3164, 4899), List(573, 3856), List(3219, 4606), List(915, 9255), List(1132, 1376), List(4831, 5099), List(2157, 8717), List(846, 4954), List(822, 10195), List(3246, 9812), List(60, 1012), List(2038, 3518), List(6663, 10439), List(789, 1387), List(1214, 7043), List(1682, 2193), List(3485, 5664), List(2380, 7419), List(6707, 10711), List(10277, 11580), List(7882, 8197), List(8472, 11446), List(5234, 6620), List(4330, 7153), List(10154, 10426), List(2590, 11578), List(1874, 5746), List(8209, 9531), List(3164, 10160), List(8836, 9629), List(11103, 11514), List(1886, 5756), List(1452, 3020), List(6704, 9285), List(4467, 9494), List(202, 10463), List(5990, 7663), List(759, 11320), List(5833, 9931), List(2631, 7014), List(7882, 10425), List(2443, 6963), List(5886, 6559), List(2837, 11054), List(2506, 11449), List(634, 10093), List(7255, 7294), List(5326, 5404), List(5978, 6498), List(7070, 10897), List(6196, 7889), List(2177, 2498), List(3536, 4797), List(5165, 7149), List(1832, 11131), List(7861, 11426), List(7129, 11477), List(8213, 9599), List(3082, 10454), List(9121, 11437), List(5028, 10069), List(2481, 8544), List(6984, 8120), List(3379, 4032), List(8826, 10765), List(550, 9991), List(10003, 11330), List(9261, 10693), List(5868, 8208), List(4653, 4907), List(9169, 11104), List(2189, 5891), List(2808, 8380), List(9284, 9364), List(4552, 10490), List(2349, 7277), List(4491, 10214), List(3218, 3525), List(6263, 7956), List(5080, 7576), List(1985, 4556), List(5479, 7093), List(6981, 7418), List(658, 1014), List(5819, 11298), List(766, 7148), List(1203, 3739), List(10010, 10565), List(7178, 7181), List(3999, 8597), List(6984, 7315), List(5458, 11477), List(329, 1081), List(1452, 11209), List(1416, 5136), List(9533, 11515), List(7045, 7187), List(1437, 2980), List(2717, 4424), List(6486, 8886), List(103, 1677), List(3516, 4814), List(35, 984), List(4104, 5738), List(1609, 10819), List(1464, 8186), List(812, 4059), List(31, 3494), List(8396, 9975), List(7496, 7998), List(3200, 4019), List(1897, 5035), List(3798, 4877), List(2508, 2745), List(3328, 8900), List(2423, 10743), List(6406, 10061), List(140, 3437), List(57, 8098), List(5129, 9292), List(3410, 11184), List(3066, 4204), List(1885, 6903), List(2131, 10342), List(10795, 11198), List(1583, 5784), List(3541, 6914), List(2297, 5127), List(4064, 6689), List(2296, 11318), List(4242, 10933), List(2098, 11333), List(4651, 9640), List(1868, 5394), List(847, 5342), List(7262, 8302), List(3735, 9789), List(3761, 4594), List(3358, 9839), List(5096, 6499), List(7495, 10001), List(3414, 3732), List(251, 7159), List(2400, 4851), List(334, 2498), List(2773, 10317), List(6283, 11135), List(4168, 5857), List(978, 10147), List(2297, 7355), List(4308, 5113), List(1661, 6390), List(1294, 11292), List(6373, 10247), List(4876, 8014), List(3527, 7931), List(3724, 8445), List(3287, 8444), List(670, 6180), List(6671, 10089), List(1227, 7037), List(9506, 11492), List(2617, 8649), List(4141, 6289), List(5660, 10755), List(1532, 4640), List(6576, 10202), List(2342, 3691), List(5351, 6213), List(3792, 5354), List(6912, 9370), List(1242, 7695), List(6470, 10156), List(1420, 5523), List(4343, 9779), List(4102, 10848), List(2827, 3332), List(1273, 6227), List(919, 4948), List(6046, 6603), List(7890, 10075), List(5328, 9770), List(1966, 3188), List(565, 7833), List(1028, 2639), List(475, 11323), List(3894, 5607), List(10683, 11252), List(3212, 11437), List(3522, 3749), List(7410, 9623), List(1782, 4010), List(466, 657), List(7069, 10084), List(7160, 9448), List(3853, 8989), List(7061, 8688), List(5965, 6799), List(958, 3748), List(712, 1063), List(1018, 4553), List(4756, 7450), List(564, 10210), List(6407, 11281), List(5684, 10694), List(3905, 5365), List(9381, 11338), List(3694, 8528), List(1078, 4954), List(5928, 8021), List(3208, 4124), List(5582, 7384), List(721, 9820), List(7039, 10218), List(2462, 5997), List(10689, 11016), List(379, 10056), List(6726, 8940), List(224, 6735), List(6135, 7718), List(944, 2860), List(5049, 7271), List(8024, 10963), List(9302, 11580), List(6719, 11152), List(2951, 9544), List(6657, 10274), List(1332, 1464), List(4793, 6527), List(4915, 7456), List(3793, 4346), List(7251, 11390), List(8299, 9855), List(112, 7618), List(8121, 11246), List(831, 7305), List(1480, 5499), List(1051, 3107), List(6460, 9356), List(3998, 11167), List(326, 5857), List(3039, 5577), List(3006, 9601), List(1167, 4221), List(2655, 8620), List(8886, 9773), List(6914, 10465), List(6234, 10706), List(1820, 8169), List(2679, 3729), List(6080, 10239), List(4246, 5203), List(817, 3061), List(5643, 7232), List(2650, 8626), List(7316, 11384), List(2490, 4207), List(10029, 11104), List(7345, 9870), List(6506, 9300), List(6590, 7493), List(1115, 9292), List(2861, 5813), List(2768, 9786), List(4158, 10644), List(10424, 10852), List(10517, 11043), List(2573, 8564), List(2509, 4607), List(2607, 5896), List(3362, 6738), List(2001, 10058), List(3196, 8920), List(10386, 11499), List(949, 8441), List(4164, 11563), List(2592, 3329), List(3619, 7333), List(1501, 8954), List(1318, 9247), List(9356, 11361), List(4621, 6554), List(6360, 8320), List(5018, 10162), List(6040, 6652), List(2619, 11541), List(64, 3739), List(528, 8569), List(414, 7501), List(3514, 10141), List(4957, 9105), List(5387, 7935), List(6316, 9152), List(4414, 11337), List(4075, 4701), List(8299, 11278), List(6748, 8028), List(420, 526), List(2285, 5629), List(4218, 4228), List(5095, 10917), List(1826, 10942), List(6859, 8798), List(704, 10084), List(5439, 8475), List(1762, 9237), List(5558, 6477), List(2345, 2647), List(479, 10905), List(2719, 4551), List(2753, 7545), List(10156, 11171), List(502, 9576), List(1120, 2041), List(7102, 8152), List(7702, 10591), List(68, 6840), List(4894, 10230), List(1522, 9376), List(1274, 11526), List(8337, 9826), List(9462, 10201), List(3987, 4830), List(5945, 5960), List(1991, 8134), List(2744, 5897), List(3014, 7478), List(743, 2441), List(3850, 7750), List(3571, 9089), List(7924, 10596), List(3289, 3741), List(7003, 8496), List(4071, 7160), List(420, 6137), List(3663, 4891), List(241, 4674), List(7023, 9148), List(803, 10039), List(2916, 8074), List(1639, 10311), List(6088, 8116), List(3748, 4440), List(3319, 8464), List(2543, 2581), List(1235, 8915), List(7675, 10242), List(1450, 10789), List(5988, 7885), List(1005, 9392), List(1385, 9613), List(9320, 10094), List(4621, 4944), List(192, 10043), List(2876, 4861), List(249, 4161), List(3647, 4738), List(4273, 7644), List(6100, 11509), List(4455, 9378), List(742, 1061), List(2400, 8315), List(719, 10691), List(1151, 6184), List(3143, 6144), List(4175, 10492), List(1923, 2499), List(10742, 10840), List(3362, 10389), List(5315, 11175), List(5103, 6566), List(2367, 9306), List(4757, 5929), List(968, 10614), List(5189, 6340), List(7649, 7866), List(4975, 11484), List(4003, 7941), List(5434, 9554), List(1485, 5656), List(6373, 7295), List(2512, 3244), List(1603, 3433), List(4748, 5816), List(990, 4896), List(8888, 10413), List(8384, 8436), List(6918, 7768), List(483, 6785), List(1787, 2207), List(4340, 4678), List(4159, 8804), List(3146, 8670), List(606, 4906), List(1941, 6057), List(157, 6800), List(5511, 7680), List(3712, 10744), List(3805, 6771), List(5037, 5545), List(1432, 7873), List(1220, 3264), List(2529, 10364), List(5172, 5181), List(4857, 6109), List(414, 5086), List(930, 10106), List(7964, 8385), List(922, 2294), List(3700, 9579), List(519, 5287), List(4557, 8476), List(4844, 7752), List(701, 7021), List(4818, 6531), List(5007, 9436), List(1292, 10872), List(2016, 10903), List(175, 4696), List(1295, 4727), List(1097, 3988), List(629, 2422), List(1260, 9055), List(73, 1386), List(3892, 5211), List(2149, 5955), List(1691, 11493), List(1228, 3101), List(2811, 5108), List(2814, 8789), List(3769, 10473), List(1503, 5780), List(3916, 6736), List(461, 10543), List(5796, 6455), List(7038, 11579), List(1271, 3178), List(6747, 11403), List(2203, 9574), List(5821, 8205), List(4749, 10874), List(4348, 10530), List(2606, 3548), List(83, 7335), List(2323, 5145), List(1483, 3219), List(1319, 8480), List(4498, 9693), List(4400, 6906), List(4119, 10828), List(7575, 10629), List(6456, 7790), List(1566, 5324), List(5234, 7482), List(7042, 11297), List(1504, 7829), List(7836, 11343), List(2053, 8825), List(5573, 10331), List(243, 8347), List(934, 5232), List(1371, 5987), List(2829, 5259), List(6595, 10204), List(1550, 10833), List(146, 7633), List(10457, 11447), List(705, 9317), List(1163, 3779), List(1180, 5638), List(2413, 3102), List(4406, 5916), List(8938, 10394), List(4182, 11126), List(3779, 9201), List(5057, 10572), List(190, 3394), List(1905, 11182), List(6702, 7041), List(2971, 7944), List(2501, 5551), List(4235, 6973), List(3581, 6183), List(3591, 6871), List(2710, 9108), List(3959, 4823), List(3016, 10346), List(3895, 7282), List(2802, 5664), List(4832, 8360), List(785, 7337), List(6778, 7975), List(8521, 11395), List(7899, 8608), List(2171, 5797), List(2365, 6040), List(3948, 8047), List(204, 6833), List(714, 5592), List(9353, 11144), List(5557, 7488), List(6279, 10856), List(6078, 6436), List(5162, 10342), List(4310, 5403), List(3219, 10274), List(4704, 8740), List(3496, 6610), List(1257, 5992), List(9598, 11325), List(2621, 6383), List(8288, 11170), List(217, 1002), List(5428, 5738), List(10655, 11007), List(5863, 11328), List(8067, 9481), List(7170, 11185), List(5539, 6508), List(3514, 4156), List(2990, 10572), List(750, 4848), List(713, 11382), List(4789, 10891), List(4440, 10737), List(9529, 9626), List(5463, 10081), List(7925, 9024), List(1882, 4889), List(5192, 9029), List(3535, 4629), List(4218, 4659), List(1293, 4494), List(7234, 8352), List(1358, 9053), List(6588, 7423), List(459, 10684), List(984, 6368), List(1856, 7051), List(1935, 4900), List(5928, 9070), List(6583, 10462), List(2727, 9007), List(8073, 9272), List(5053, 8089), List(4148, 9932), List(1536, 3848), List(1102, 7528), List(37, 7958), List(4995, 8084), List(389, 5377), List(3770, 10511), List(4613, 5538), List(5136, 6811), List(4699, 10974), List(215, 9950), List(2271, 7451), List(9996, 10566), List(4834, 10610), List(6410, 10692), List(7124, 10035), List(9457, 10288), List(5922, 11103), List(685, 5146), List(57, 5577), List(226, 10459), List(58, 2015), List(4077, 5154), List(1556, 5604), List(2509, 6461), List(8828, 9713), List(9260, 10124), List(6216, 7793), List(5431, 10492), List(1479, 6323), List(1420, 4962), List(2750, 6523), List(4558, 10338), List(5711, 6345), List(5158, 8613), List(8725, 9965), List(43, 7749), List(1753, 4613), List(10500, 11388), List(1916, 6297), List(7704, 9913), List(1880, 4388), List(9316, 9652), List(1224, 5023), List(8445, 10325), List(4278, 5036), List(984, 8946), List(728, 4819), List(6793, 7023), List(4618, 8110), List(878, 2134), List(136, 743), List(3520, 5394), List(8573, 9544), List(233, 10475), List(686, 5347), List(2714, 7216), List(8400, 9801), List(1994, 8058), List(5166, 8100), List(715, 7216), List(159, 5049), List(9649, 9653), List(4162, 9183), List(1550, 7263), List(8623, 9257), List(10104, 10233), List(240, 7108), List(10895, 11486), List(458, 8499), List(4720, 4980), List(7739, 8190), List(3040, 5292), List(4341, 8367), List(493, 10937), List(3222, 11190), List(211, 5589), List(3602, 4995), List(8118, 10438), List(1074, 7684), List(5024, 11026), List(695, 11071), List(7079, 9056), List(7015, 11515), List(702, 5045), List(3744, 10713), List(6615, 7609), List(4077, 9610), List(2272, 5312), List(2365, 5503), List(5508, 7059), List(4858, 7142), List(496, 7047), List(1303, 2417), List(1640, 5220), List(2204, 7248), List(5652, 7188), List(3004, 5611), List(6646, 8800), List(4689, 11278), List(9202, 10788), List(1287, 10959), List(1237, 5180), List(7080, 8503), List(912, 5420), List(7892, 10633), List(263, 810), List(5221, 11516), List(176, 7981), List(2934, 7474), List(1201, 2490), List(5183, 7999), List(2936, 7520), List(2523, 9071), List(7261, 7733), List(6323, 9436), List(8377, 10274), List(7692, 10171), List(4144, 10781), List(1941, 9066), List(85, 1827), List(874, 6417), List(5299, 6080), List(3448, 5601), List(657, 1464), List(6006, 8416), List(3071, 3399), List(9612, 11194), List(829, 2510), List(2831, 9574), List(3022, 6890), List(2358, 7664), List(1298, 7684), List(3421, 10571), List(4575, 10186), List(1552, 8732), List(3577, 11084), List(1201, 1335), List(8518, 9351), List(244, 2988), List(4468, 4647), List(765, 1936), List(556, 10430), List(7371, 10880), List(802, 7453), List(3104, 5387), List(891, 10154), List(550, 9861), List(4505, 11295), List(3416, 6413), List(6668, 8693), List(3782, 8456), List(5466, 10515), List(2037, 8373), List(3897, 9345), List(3733, 10442), List(2222, 10755), List(99, 5616), List(10792, 11252), List(1523, 6058), List(2043, 2152), List(3259, 8307), List(3352, 4334), List(6125, 11275), List(4633, 9386), List(2047, 8687), List(9364, 10287), List(1833, 10421), List(1391, 2906), List(3290, 6839), List(769, 7289), List(3449, 4617), List(3289, 7368), List(3196, 10587), List(9507, 9814), List(6160, 10680), List(831, 11550), List(1757, 5299), List(7641, 8623), List(8128, 8741), List(1254, 10340), List(2035, 10905), List(690, 1896), List(9005, 9014), List(502, 2599), List(8786, 9650), List(404, 2064), List(2864, 3590), List(3712, 5377), List(5740, 11410), List(2091, 7804), List(4085, 8591), List(7997, 8443), List(722, 10452), List(8093, 8905), List(7344, 11261), List(4789, 5711), List(892, 2003), List(4231, 11045), List(2648, 5628), List(7493, 8351), List(2916, 4130), List(340, 4873), List(1422, 7830), List(3414, 7790), List(3783, 9350), List(5118, 11255), List(2790, 4930), List(4383, 11035), List(1632, 2163), List(6862, 11113), List(9225, 9296), List(4901, 9685), List(4053, 7898), List(782, 7096), List(4897, 5779), List(4106, 5280), List(6861, 10861), List(975, 10874), List(101, 7866), List(1658, 3734), List(3960, 8838), List(8786, 8845), List(3457, 10469), List(3832, 9592), List(7070, 8002), List(3419, 6979), List(57, 6813), List(2052, 10454), List(7248, 9994), List(1842, 3262), List(6841, 11333), List(807, 9196), List(494, 4535), List(1797, 6902), List(1071, 6044), List(6339, 7150), List(2051, 10202), List(931, 3755), List(55, 10500), List(1330, 7436), List(1196, 4992), List(3940, 6277), List(265, 1450), List(1259, 3062), List(326, 5109), List(7488, 9050), List(3531, 5291), List(5241, 8571), List(5762, 7519), List(8036, 10575), List(1969, 7544), List(8810, 9969), List(1692, 2540), List(4362, 8602), List(2115, 7369), List(3520, 10013), List(3026, 7226), List(5765, 8167), List(1488, 4238), List(3528, 7622), List(4015, 7740), List(436, 9037), List(1489, 7846), List(687, 6404), List(498, 3499), List(6103, 8162), List(5036, 7011), List(683, 2498), List(4387, 6565), List(1933, 8237), List(3726, 4604), List(7620, 8014), List(9856, 10586), List(1981, 7904), List(4811, 11215), List(4467, 11405), List(8866, 9847), List(5714, 10457), List(9009, 10155), List(2350, 9464), List(5748, 10041), List(4972, 9820), List(607, 10208), List(990, 9946), List(8540, 10616), List(7917, 11391), List(4240, 9147), List(10690, 11162), List(3591, 10953), List(3799, 5240), List(951, 6985), List(9005, 9632), List(2593, 3156), List(1459, 4947), List(2334, 10809), List(4175, 11354), List(5546, 7998), List(7726, 8009), List(6501, 10436), List(5043, 7377), List(6970, 9194), List(3391, 10491), List(5848, 6084), List(5199, 7890), List(5068, 9127), List(6499, 10740), List(10158, 10900), List(5488, 10652), List(3972, 6457), List(835, 1683), List(8168, 10986), List(849, 5553), List(148, 11333), List(5965, 7019), List(3682, 6883), List(2627, 7247), List(356, 5620), List(3680, 10220), List(3556, 7710), List(734, 11430), List(3304, 10872), List(4236, 10852), List(7006, 7696), List(471, 9515), List(2737, 8546), List(2551, 5158), List(1253, 6518), List(3987, 7115), List(436, 4044), List(840, 4659), List(7376, 9858), List(4982, 5165), List(5536, 6505), List(2143, 4774), List(2242, 11169), List(3515, 5026), List(1519, 7576), List(1111, 6061), List(1804, 4527), List(1991, 10769), List(1766, 1791), List(3559, 4574), List(4725, 11366), List(611, 9121), List(5246, 10314), List(7150, 10427), List(6338, 8297), List(9159, 11522), List(7739, 11199), List(12, 7257), List(1419, 10728), List(6044, 11233), List(2012, 11242), List(665, 6324), List(2714, 9070), List(408, 10640), List(2223, 9964), List(1406, 3326), List(1694, 9620), List(8965, 10875), List(4574, 10042), List(7507, 7816), List(7598, 7934), List(5879, 9072), List(3701, 4226), List(249, 6796), List(4051, 7234), List(6157, 8262), List(1556, 6653), List(1148, 11554), List(3206, 3466), List(9635, 10296), List(732, 6391), List(799, 1197), List(5721, 8082), List(2006, 3856), List(3318, 10473), List(6709, 9879), List(8949, 9187), List(769, 8875), List(253, 9547), List(10091, 10697), List(9755, 11502), List(8132, 10096), List(3020, 9503), List(6263, 8257), List(5989, 9940), List(4184, 9052), List(4681, 9858), List(6324, 9664), List(1959, 5888), List(6322, 8837), List(7196, 9593), List(9219, 11118), List(7595, 9864), List(8369, 8504), List(7180, 10588), List(1490, 4097), List(2398, 10099), List(10195, 10646), List(9768, 11333), List(272, 6914), List(430, 8254), List(513, 3593), List(2109, 9215), List(8140, 10337), List(5435, 8226), List(7890, 9408), List(261, 6001), List(1582, 4036), List(537, 5118), List(8725, 10209), List(1603, 8296), List(1632, 6782), List(6052, 10265), List(290, 1454), List(1232, 9292), List(917, 1552), List(9067, 10323), List(9280, 11370), List(7015, 9531), List(3746, 5392), List(4859, 7662), List(6196, 6230), List(2311, 4037), List(3983, 10997), List(3522, 9848), List(244, 7875), List(1405, 1491), List(1577, 2537), List(995, 9729), List(2425, 4324), List(675, 3897), List(685, 4585), List(5905, 8683), List(9267, 9603), List(4974, 5141), List(5507, 5604), List(7716, 10517), List(5785, 11210), List(7901, 9516), List(1115, 1136), List(3405, 11141), List(9077, 9856), List(6902, 10943), List(3874, 9899), List(1598, 3764), List(4259, 9710), List(3100, 4089), List(5246, 7899), List(8485, 9163), List(3597, 8278), List(1138, 8852), List(1482, 9416), List(1348, 6218), List(453, 8749), List(4992, 10234), List(1224, 10878), List(3344, 3668), List(238, 6875), List(35, 6546), List(2631, 7933), List(3023, 10443), List(4045, 7687), List(4244, 9028), List(8628, 8690), List(502, 2225), List(1623, 11526), List(4832, 5034), List(2831, 7240), List(1411, 7671), List(1525, 2323), List(1098, 3010), List(3143, 6014), List(1871, 8595), List(273, 5556), List(2298, 7908), List(687, 11023), List(4111, 6405), List(2552, 4792), List(5076, 8777), List(3822, 6302), List(243, 7599), List(1642, 6291), List(4699, 6575), List(1017, 6239), List(272, 1921), List(4043, 7210), List(3950, 4767), List(2513, 9001), List(4841, 8910), List(2671, 10341), List(2822, 9756), List(2411, 8724), List(6440, 8387), List(4914, 7668), List(1424, 7502), List(2313, 11572), List(3226, 11502), List(1375, 3853), List(3349, 9623), List(4581, 9895), List(1439, 5531), List(694, 4623), List(2684, 10172), List(7689, 10144), List(5020, 9942), List(5827, 9476), List(8246, 11001), List(5693, 7032), List(4106, 8289), List(1251, 8863), List(11053, 11110), List(3615, 4265), List(3295, 4849), List(4234, 6754), List(2955, 5912), List(3760, 3865), List(6124, 6437), List(1860, 6877), List(5411, 10702), List(8859, 9888), List(2228, 5583), List(645, 3576), List(6307, 8773), List(10785, 11480), List(5209, 6057), List(6771, 7187), List(2944, 10634), List(5031, 7448), List(3682, 8119), List(2295, 3772), List(4037, 9219), List(2091, 5470), List(2311, 7688), List(4439, 6755), List(3336, 10111), List(5275, 11191), List(1839, 7878), List(1932, 4659), List(6042, 9414), List(6634, 7074), List(1539, 8340), List(164, 7036), List(790, 9942), List(6315, 8260), List(4926, 10256), List(2519, 11020), List(6629, 10113), List(6319, 11385), List(1715, 3089), List(908, 1303), List(273, 6979), List(1405, 2109), List(226, 717), List(4038, 8289), List(9466, 11562), List(7685, 9570), List(488, 1656), List(2552, 9598), List(9577, 11578), List(240, 11353), List(4691, 10739), List(5582, 10718), List(2066, 9331), List(5111, 8100), List(4591, 9754), List(3846, 5436), List(1718, 5615), List(4916, 5380), List(4174, 10405), List(4358, 6550), List(1180, 1775), List(782, 5112), List(5675, 7095), List(2750, 6930), List(5637, 10775), List(7533, 10273), List(1929, 9218), List(6853, 10514), List(2643, 8561), List(4389, 11498), List(6936, 9236), List(8082, 8236), List(597, 8715), List(181, 6585), List(5623, 9564), List(10547, 10860), List(2044, 10861), List(337, 7098), List(1395, 6251), List(2241, 4959), List(3361, 4990), List(1422, 8074), List(5864, 9626), List(1422, 11457), List(2625, 6827), List(286, 6759), List(979, 10887), List(6020, 7106), List(2370, 3275), List(420, 6170), List(2120, 8762), List(4372, 10339), List(2901, 2911), List(528, 9675), List(3745, 7208), List(8156, 8693), List(7122, 8436), List(6507, 6820), List(9394, 10665), List(655, 7915), List(4542, 5273), List(3448, 6463), List(9087, 9956), List(7399, 10407), List(2576, 9917), List(4004, 7095), List(2224, 8711), List(3698, 6988), List(2602, 8105), List(7619, 9592), List(4095, 10596), List(1175, 10775), List(8692, 9053), List(8007, 8950), List(1874, 7551), List(7794, 11286), List(258, 3906), List(2714, 8696), List(6102, 7831), List(6163, 11490), List(5074, 6608), List(807, 8285), List(1243, 11067), List(5262, 10042), List(4049, 6814), List(432, 5375), List(4170, 9026), List(10294, 11056), List(112, 2926), List(3291, 4139), List(5810, 7780), List(2945, 7666), List(6048, 9823), List(5313, 10357), List(4910, 9186), List(5156, 6209), List(636, 8938), List(6856, 8801), List(4815, 5916), List(2809, 7778), List(1386, 3774), List(4459, 4591), List(5491, 8185), List(6200, 7184), List(1138, 10088), List(3058, 8482), List(2127, 11356), List(5298, 8544), List(3899, 9098), List(6397, 7698), List(2312, 3939), List(2212, 6741), List(6446, 6836), List(8846, 9065), List(995, 6777), List(4444, 9571), List(1426, 2799), List(2401, 6613), List(278, 720), List(8433, 9835), List(1122, 5771), List(3603, 8174), List(3738, 7810), List(11174, 11576), List(4538, 6173), List(2456, 3287), List(7144, 7524), List(5750, 9176), List(4468, 10315), List(361, 9241), List(3454, 11434), List(2202, 3370), List(636, 11166), List(2260, 6758), List(3903, 8816), List(228, 3235), List(5993, 11563), List(9852, 11037), List(4124, 7472), List(5061, 8550), List(4892, 6297), List(8503, 10173), List(4093, 5126), List(1070, 8590), List(383, 7660), List(572, 3395), List(3108, 10423), List(3402, 4454), List(1592, 3976), List(530, 3923), List(2159, 5521), List(4105, 5136), List(5877, 7042), List(7707, 8926), List(399, 1373), List(5058, 7124), List(4339, 7410), List(483, 10119), List(5927, 6755), List(3998, 11281), List(77, 2261), List(1109, 6609), List(6214, 6785), List(2415, 3612), List(2468, 2492), List(301, 7604), List(2761, 9884), List(3054, 5999), List(7258, 10389), List(5831, 7397), List(134, 6151), List(4666, 9875), List(5139, 6123), List(1066, 10295), List(5429, 9080), List(3948, 7380), List(5675, 6103), List(3743, 3942), List(30, 9211), List(4388, 7652), List(427, 5649), List(1645, 2051), List(3520, 7842), List(5812, 8094), List(347, 3411), List(930, 10407), List(897, 8015), List(57, 3837), List(2426, 5999), List(6965, 7484), List(3487, 8833), List(5189, 5836), List(79, 1152), List(1393, 8596), List(9390, 9955), List(2594, 7303), List(799, 7857), List(4319, 9363), List(2915, 6163), List(4690, 7586), List(1235, 10639), List(7952, 8302), List(1131, 9535), List(7896, 11376), List(6081, 9800), List(7428, 9056), List(856, 4577), List(4641, 7320), List(3514, 6872), List(4076, 8073), List(8996, 9627), List(1083, 6461), List(3981, 5934), List(8704, 9226), List(460, 6455), List(1017, 11476), List(1853, 5332), List(2009, 5845), List(5180, 7197), List(142, 4833), List(367, 7395), List(1328, 6615), List(1228, 8663), List(4865, 11508), List(4202, 6468), List(3646, 4301), List(543, 5527), List(727, 8088), List(5008, 8029), List(6919, 9313), List(7003, 8260), List(6982, 7383), List(6295, 10617), List(9378, 11368), List(5347, 10878), List(4865, 5442), List(8179, 8600), List(462, 9510), List(3144, 9917), List(1619, 6390), List(1116, 11431), List(3849, 8393), List(234, 10033), List(9327, 11029), List(5958, 8938), List(5741, 11155), List(6307, 7594), List(732, 11441), List(2850, 9820), List(4099, 6289), List(2504, 9183), List(634, 4490), List(9441, 11316), List(1225, 8341), List(6359, 7003), List(2222, 3054), List(78, 3454), List(513, 9798), List(6490, 9149), List(2156, 2434), List(2937, 2999), List(9812, 10670), List(970, 4035), List(8509, 10932), List(3554, 3907), List(218, 2710), List(1747, 7864), List(6351, 8990), List(5222, 5463), List(3329, 8892), List(1403, 6519), List(4579, 8215), List(2108, 8028), List(9927, 10778), List(4010, 9226), List(1854, 10363), List(2914, 3173), List(765, 3229), List(2669, 9758), List(2631, 7022), List(148, 7202), List(1491, 8968), List(6866, 10725), List(2884, 8599), List(7201, 10449), List(2443, 3938), List(3336, 4744), List(8498, 8837), List(2405, 11001), List(1146, 1766), List(6331, 7533), List(7687, 9561), List(1025, 10107), List(6788, 8940), List(3770, 8584), List(988, 3809), List(4017, 8461), List(991, 1074), List(4419, 10161), List(6876, 8006), List(8214, 9428), List(3348, 11520), List(8463, 10132), List(2849, 8389), List(366, 4405), List(864, 8819), List(520, 2593), List(8393, 8612), List(5153, 9375), List(4680, 6711), List(1173, 3158), List(2100, 9964), List(1136, 10446), List(5388, 5485), List(3151, 4940), List(2344, 3908), List(1473, 6833), List(1476, 10514), List(5237, 10951), List(1407, 8465), List(5703, 10192), List(1246, 10991), List(7388, 8689), List(2235, 5843), List(2887, 3554), List(218, 7516), List(4576, 5957), List(4170, 5269), List(8589, 10779), List(456, 3143), List(11018, 11494), List(3237, 10699), List(2012, 5956), List(2700, 10494), List(2861, 4935), List(9213, 10579), List(294, 8450), List(7171, 10532), List(3036, 3246), List(2881, 5587), List(2440, 5844), List(2968, 8215), List(979, 5520), List(4246, 9586), List(2100, 9159), List(7296, 7945), List(6802, 11574), List(7363, 9921), List(1537, 9985), List(4390, 5578), List(1693, 8246), List(755, 3533), List(1027, 1777), List(1441, 6490), List(3798, 11301), List(4835, 9577), List(3359, 8221), List(2619, 4247), List(1705, 8256), List(189, 1809), List(2556, 3144), List(2611, 7015), List(9828, 11417), List(3914, 9382), List(8299, 10400), List(713, 3657), List(8123, 8454), List(3696, 7210), List(4909, 8186), List(7056, 11467), List(4723, 4798), List(4100, 5573), List(1016, 11013), List(1752, 7671), List(329, 3667), List(7477, 10184), List(2635, 4726), List(6, 947), List(4142, 7677), List(2059, 10982), List(4583, 8551), List(311, 4966), List(5166, 10629), List(2435, 7297), List(2769, 6419), List(656, 1968), List(2870, 11389), List(3546, 9494), List(2739, 7708), List(4358, 9372), List(779, 10669), List(528, 6886), List(6102, 9230), List(648, 5490), List(1238, 2323), List(745, 8052), List(2703, 9182), List(8948, 10041), List(359, 4606), List(6678, 7104), List(9150, 10899), List(7643, 7978), List(201, 6649), List(6826, 11139), List(2698, 5024), List(5174, 7083), List(2154, 10064), List(2099, 3941), List(5947, 7006), List(5738, 6832), List(2276, 8714), List(4198, 7181), List(4297, 7160), List(7913, 9128), List(1032, 3894), List(722, 9330), List(6094, 10816), List(3141, 10855), List(3050, 9239), List(1081, 3032), List(3730, 5965), List(603, 10577), List(5678, 11288), List(321, 10110), List(6291, 6792), List(8591, 11069), List(2779, 2895), List(4917, 9096), List(5297, 8563), List(6696, 8009), List(9901, 10443), List(3337, 7360), List(935, 9222), List(4266, 7823), List(2614, 10937), List(5573, 7680), List(7479, 8620), List(2126, 11348), List(1459, 5435), List(5293, 8794), List(374, 1426), List(5671, 7434), List(4785, 9327), List(6789, 10802), List(8774, 9591), List(369, 10881), List(8648, 11172), List(2146, 8967), List(964, 8058), List(5902, 6808), List(2631, 8258), List(1602, 7591), List(4501, 6535), List(3169, 9065), List(4413, 4436), List(1951, 6247), List(5039, 7342), List(8614, 9309), List(1919, 6709), List(1420, 5076), List(1974, 6416), List(5764, 10257), List(1471, 5795), List(7926, 8154), List(1412, 4434), List(5108, 8640), List(3125, 9143), List(4, 7908), List(2564, 6632), List(1563, 2351), List(1497, 3983), List(944, 6251), List(1312, 1951), List(2430, 7571), List(68, 164), List(6268, 7666), List(3493, 4816), List(874, 8141), List(8965, 9135), List(3301, 8029), List(6621, 7969), List(963, 10815), List(1354, 4055), List(1121, 11401), List(3414, 8091), List(300, 1611), List(5440, 7635), List(724, 7042), List(333, 7386), List(2537, 11201), List(3191, 5575), List(3160, 4010), List(6981, 8662), List(1327, 1828), List(3371, 8394), List(2042, 4025), List(3055, 3435), List(2093, 4744), List(164, 8516), List(909, 3008), List(5642, 6988), List(2063, 8285), List(1781, 9353), List(1405, 10005), List(1566, 10862), List(3765, 8671), List(10368, 10928), List(809, 2777), List(5000, 6208), List(2357, 4975), List(4315, 6105), List(5254, 9508), List(5567, 7753), List(3112, 10735), List(5345, 9626), List(5386, 9627), List(1518, 10821), List(1146, 8963), List(2328, 3456), List(4846, 9124), List(6733, 11542), List(5776, 9031), List(855, 5000), List(9545, 11241), List(6126, 9787), List(2324, 2933), List(3750, 6454), List(6396, 11368), List(2105, 4323), List(5706, 10921), List(2168, 8055), List(6146, 11193), List(4372, 6208), List(2149, 3117), List(7329, 8540), List(8125, 9413), List(1124, 6329), List(5355, 6907), List(1994, 9595), List(7255, 7278), List(4230, 5751), List(3949, 9673), List(1928, 3683), List(3142, 8641), List(5752, 6728), List(4599, 11475), List(1951, 9898), List(4263, 11526), List(3268, 10443), List(1900, 6146), List(1726, 10719), List(7524, 8607), List(492, 3204), List(5584, 8056), List(2470, 4986), List(644, 10391), List(9257, 9804), List(3624, 3847), List(1330, 6932), List(565, 1238), List(731, 8855), List(503, 9405), List(912, 8112), List(881, 2383), List(1003, 1060), List(5729, 11039), List(4647, 10711), List(3704, 5654), List(1951, 5710), List(6415, 10963), List(5075, 7216), List(1582, 9785), List(6569, 8397), List(2083, 4294), List(710, 10206), List(4433, 5655), List(4964, 5291), List(9852, 11094), List(9069, 9702), List(4091, 11553), List(3613, 8545), List(10305, 10847), List(594, 2302), List(5798, 5867), List(2465, 10603), List(8041, 9610), List(3963, 9274), List(6014, 6431), List(4142, 11491), List(847, 6131), List(5542, 7375), List(2025, 9550), List(4386, 5435), List(4165, 9408), List(5264, 8562), List(1331, 5197), List(3759, 7939), List(2971, 3951), List(2984, 9074), List(1551, 4382), List(1172, 7769), List(666, 2713), List(4678, 11097), List(5746, 10938), List(10655, 11202), List(3930, 5727), List(2445, 5009), List(7851, 8331), List(3503, 4162), List(5467, 8490), List(8438, 9030), List(6770, 10857), List(6631, 8069), List(163, 4694), List(3081, 7852), List(1348, 9284), List(7377, 9579), List(598, 1616), List(583, 6219), List(1768, 10809), List(5166, 7222), List(3141, 4870), List(799, 10947), List(6929, 11294), List(2113, 7811), List(7612, 11324), List(1358, 6215), List(4754, 5965), List(526, 2652), List(206, 7400), List(3449, 6154), List(5309, 10159), List(3721, 4398), List(1890, 3043), List(9921, 10402), List(3407, 5928), List(11163, 11362), List(487, 6861), List(3599, 6098), List(7951, 11140), List(3493, 9085), List(7646, 10504), List(6297, 11175), List(941, 7216), List(6046, 7392), List(4621, 6725), List(7011, 9764), List(3335, 4712), List(968, 2596), List(7647, 10355), List(10298, 11449), List(3641, 5169), List(3147, 8798), List(5038, 7952), List(7097, 9134), List(3417, 3963), List(4449, 7557), List(3416, 5990), List(4037, 8552), List(3596, 4645), List(6741, 11192), List(2916, 9050), List(5614, 9990), List(2546, 3855), List(421, 4305), List(5503, 6187), List(4004, 9543), List(759, 9962), List(1688, 4763), List(8790, 10905), List(3382, 7510), List(725, 8099), List(4916, 5868), List(5015, 11509), List(3303, 7402), List(7260, 9663), List(8567, 9520), List(723, 4239), List(3240, 7053), List(4787, 6397), List(3084, 9923), List(4510, 7028), List(5188, 10124), List(5568, 10345), List(7393, 11131), List(839, 8736), List(357, 8992), List(6365, 7656), List(4938, 6916), List(3203, 7521), List(2950, 7075), List(7616, 9833), List(4008, 6228), List(4031, 11315), List(6298, 9036), List(2119, 6396), List(5086, 9416), List(4680, 8728), List(4525, 11069), List(7939, 8015), List(5948, 8657), List(3018, 3984), List(5664, 8898), List(7534, 10181), List(9492, 11311), List(405, 11261), List(433, 477), List(7786, 8150), List(4398, 9015), List(6124, 10576), List(4792, 5936), List(2307, 6043), List(4043, 4128), List(3144, 9169), List(1212, 7762), List(4192, 7634), List(1528, 5524), List(4074, 6824), List(304, 4389), List(4629, 11018), List(4593, 4945), List(7588, 10767), List(2139, 10781), List(6270, 9997), List(3037, 5515), List(8257, 9613), List(5366, 11284), List(1019, 9969), List(2129, 2896), List(1499, 2500), List(3157, 9754), List(979, 4154), List(7508, 11188), List(5796, 7081), List(2779, 7327), List(570, 3168), List(1836, 8686), List(568, 2341), List(1213, 9461), List(564, 11267), List(5891, 7318), List(354, 7485), List(595, 4164), List(6916, 10495), List(3934, 9796), List(5207, 10069), List(9056, 10353), List(3483, 4447), List(4561, 9170), List(710, 8059), List(7191, 9387), List(178, 1782), List(6872, 10573), List(7424, 11086), List(7174, 10911), List(2392, 10422), List(10723, 10903), List(3973, 8596), List(3035, 3883), List(10220, 10282), List(3501, 9540), List(5813, 11168), List(3991, 9175), List(670, 9010), List(4459, 5079), List(597, 9471), List(6355, 7960), List(2396, 9790), List(2996, 5059), List(7286, 8469), List(5698, 6872), List(1488, 4165), List(1532, 10853), List(2000, 6003), List(9899, 10991), List(4235, 5721), List(597, 9821), List(2419, 11090), List(3544, 11465), List(3143, 11121), List(2740, 9950), List(10448, 11206), List(2762, 5013), List(8266, 8870), List(559, 10468), List(5471, 10249), List(6211, 7807), List(540, 5530), List(7580, 10794), List(271, 6803), List(237, 1557), List(4839, 6774), List(4097, 6137), List(6456, 7611), List(5463, 6601), List(3410, 9371), List(4613, 4741), List(10686, 10970), List(5491, 7868), List(515, 10546), List(5706, 9742), List(6205, 7211), List(2031, 4161), List(1747, 5156), List(2500, 2919), List(1968, 10228), List(8091, 9404), List(1088, 8903), List(8932, 10020), List(1062, 7682), List(6320, 8100), List(6755, 8028), List(1555, 10998), List(2988, 10028), List(5047, 11210), List(8555, 11201), List(6915, 8660), List(8964, 9908), List(3422, 9731), List(7398, 11288), List(4721, 4809), List(8526, 9682), List(1888, 9868), List(9367, 10298), List(9666, 10365), List(6648, 10009), List(3355, 4722), List(2814, 10033), List(360, 9453), List(425, 9848), List(1941, 3463), List(2727, 4372), List(7730, 10687), List(6866, 8367), List(5051, 7545), List(9469, 10201), List(6669, 11236), List(6920, 8603), List(4337, 11585), List(6479, 8106), List(5732, 7125), List(1160, 10418), List(5107, 7073), List(5692, 9978), List(5609, 8223), List(1743, 10244), List(9368, 9745), List(3045, 3341), List(3139, 8638), List(10958, 11388), List(2923, 7293), List(9086, 10032), List(10755, 11059), List(115, 8467), List(9289, 10391), List(3600, 6754), List(2655, 5034), List(6961, 7449), List(5063, 11288), List(1171, 7170), List(1505, 6292), List(4557, 6232), List(7707, 8959), List(6138, 6658), List(8235, 11330), List(5668, 8429), List(7132, 8270), List(475, 2744), List(7319, 8096), List(4469, 9768), List(1723, 11066), List(3898, 4317), List(1907, 7211), List(3562, 10784), List(4646, 8906), List(2065, 8551), List(382, 9346), List(3682, 9388), List(7947, 11048), List(3837, 6293), List(4332, 10436), List(1243, 11368), List(1059, 2391), List(1303, 5003), List(1154, 9044), List(8805, 9766), List(2260, 10897), List(5229, 11334), List(3906, 10220), List(900, 4963), List(1951, 7109), List(25, 11152), List(300, 6661), List(647, 10152), List(16, 486), List(2445, 6863), List(9343, 9822), List(9291, 9632), List(2386, 9666), List(6954, 9637), List(6460, 8348), List(4834, 10431), List(3584, 8075), List(41, 4865), List(540, 6498), List(4141, 8932), List(8435, 9832), List(5045, 7618), List(659, 713), List(1804, 2494), List(3882, 7890), List(34, 10460), List(1744, 11488), List(1235, 2751), List(8049, 10146), List(3780, 4580), List(3322, 3702), List(3623, 6848), List(3220, 11339), List(4744, 9733), List(7235, 11326), List(1540, 3737), List(5958, 6393), List(5736, 8266), List(4996, 7702), List(8943, 11527), List(3026, 5811), List(7516, 10033), List(761, 7382), List(8130, 11424), List(3930, 10159), List(4985, 9795), List(3653, 5155), List(4670, 8471), List(377, 4009), List(4058, 6372), List(2332, 11257), List(7349, 8580), List(3364, 8435), List(1459, 11103), List(1223, 8352), List(7472, 10865), List(1772, 2932), List(3694, 4405), List(4889, 9683), List(1682, 6422), List(577, 7453), List(2990, 9133), List(4356, 6187), List(2145, 5365), List(4970, 7578), List(3387, 6325), List(8263, 10613), List(665, 6519), List(702, 11282), List(3412, 8075), List(5561, 5767), List(833, 2131), List(5960, 9448), List(3694, 4755), List(3093, 9261), List(4244, 8605), List(1671, 8111), List(5054, 7656), List(2134, 3671), List(4804, 6727), List(2651, 11545), List(6137, 7805), List(1560, 10754), List(1315, 3753), List(1091, 2547), List(2703, 8702), List(5256, 7009), List(4051, 10812), List(4827, 11033), List(2738, 11140), List(3340, 9488), List(1336, 1597), List(3949, 10535), List(687, 1151), List(1036, 1305), List(2455, 7819), List(1889, 9128), List(2305, 4842), List(1152, 2419), List(6377, 6861), List(5900, 7461), List(10325, 11288), List(6115, 9335), List(9927, 10461), List(4977, 7944), List(7489, 10414), List(333, 9671), List(4414, 9524), List(2635, 9857), List(5692, 10141), List(7273, 9069), List(9043, 10148), List(1486, 8307), List(6365, 9860), List(9532, 9558), List(2252, 11223), List(10276, 10995), List(159, 3260), List(4959, 6964), List(4706, 8770), List(3455, 3560), List(5170, 7184), List(3587, 5177), List(1441, 11166), List(10030, 10939), List(526, 1741), List(1307, 2306), List(3705, 7118), List(3791, 9144), List(4410, 4463), List(3321, 3745), List(5380, 11343), List(526, 11540), List(3632, 7579), List(4757, 7954), List(1123, 3128), List(550, 9682), List(4944, 7780), List(7119, 7447), List(703, 4262), List(1016, 2507), List(5337, 7482), List(1098, 4010), List(1534, 4540), List(1317, 6003), List(7449, 9429), List(3906, 10383), List(720, 1583), List(6516, 9224), List(6987, 11061), List(593, 5191), List(7191, 7858), List(4049, 9156), List(1439, 4653), List(157, 5792), List(5229, 9992), List(10179, 10257), List(3727, 7415), List(1710, 9088), List(6061, 10522), List(6131, 11261), List(4672, 5348), List(4235, 5347), List(83, 366), List(7056, 8572), List(6058, 10224), List(8745, 10975), List(2942, 6327), List(3110, 8355), List(555, 2805), List(1181, 6465), List(1802, 9027), List(4166, 4429), List(1115, 8097), List(7426, 10734), List(289, 7789), List(2329, 11173), List(868, 10849), List(10937, 10996), List(7606, 9389), List(1627, 9211), List(703, 6840), List(8118, 11227), List(3655, 8828), List(1809, 8693), List(1423, 9381), List(1747, 7815), List(4424, 7878), List(2158, 2431), List(8040, 9092), List(4022, 9561), List(4392, 8340), List(1720, 2205), List(629, 7830), List(2778, 5522), List(4398, 5876), List(1810, 8514), List(1101, 3853), List(9903, 10335), List(3143, 3176), List(5133, 8725), List(2362, 5994), List(3415, 4803), List(4977, 5179), List(1121, 7888), List(949, 2708), List(671, 6147), List(1734, 9808), List(6894, 9691), List(1925, 2960), List(5631, 7100), List(174, 2308), List(6268, 9414), List(1199, 5485), List(7202, 10975), List(3188, 5928), List(4657, 10277), List(2501, 11414), List(1104, 6379), List(2537, 11071), List(235, 3715), List(2413, 9315), List(3650, 9931), List(5176, 8398), List(4706, 6005), List(691, 7903), List(4796, 5898), List(3022, 7329), List(2776, 3890), List(6134, 7320), List(2022, 5902), List(2969, 6914), List(125, 8431), List(4607, 6376), List(7103, 10565), List(1339, 11507), List(1554, 9217), List(1714, 11384), List(302, 399), List(2732, 10384), List(1020, 7031), List(1522, 1765), List(5527, 8224), List(960, 5445), List(2161, 4152), List(1768, 7833), List(3380, 8326), List(265, 8037), List(3124, 9834), List(2125, 11261), List(9227, 9489), List(2219, 8644), List(5605, 6952), List(2781, 9845), List(1305, 2073), List(5891, 6757), List(8158, 8642), List(3423, 10251), List(2014, 10117), List(6625, 6752), List(4913, 9061), List(3300, 9097), List(334, 4767), List(1734, 11231), List(8678, 10371), List(1990, 8942), List(115, 3905), List(7186, 8482), List(6226, 6454), List(6532, 7692), List(4407, 8142), List(3512, 6509), List(6502, 11233), List(7708, 10284), List(2352, 7079), List(1010, 4003), List(4406, 10169), List(3387, 10944), List(3725, 4523), List(2746, 9635), List(4155, 9769), List(3131, 10200), List(2823, 5883), List(6642, 7456), List(6848, 7332), List(444, 5662), List(10643, 10763), List(4275, 5340), List(3523, 9677), List(8791, 11537), List(4113, 6510), List(2898, 10379), List(7970, 11573), List(5420, 6367), List(3491, 4477), List(693, 6339), List(4171, 7619), List(3539, 4144), List(4098, 5828), List(3007, 7289), List(8607, 10854), List(5338, 10879), List(1895, 4867), List(2731, 5139), List(3192, 10452), List(7733, 11229), List(5840, 8996), List(1256, 10020), List(4519, 10180), List(4638, 5176), List(653, 5785), List(7354, 11583), List(7875, 10531), List(4898, 10176), List(11338, 11503), List(1254, 3908), List(689, 11077), List(6011, 6784), List(8086, 8499), List(1609, 7290), List(1177, 1217), List(748, 5241), List(2115, 9313), List(1449, 2844), List(4158, 11490), List(2224, 9256), List(1288, 5370), List(2720, 3421), List(4554, 9211), List(1233, 9046), List(7009, 10393), List(2718, 3348), List(4523, 6865), List(6264, 9458), List(8657, 9762), List(1372, 10329), List(4672, 9617), List(10088, 11375), List(7044, 9798), List(284, 2639), List(3525, 11146), List(5547, 7565), List(657, 11515), List(8255, 9193), List(8812, 10050), List(6873, 7472), List(4791, 8750), List(935, 7295), List(5353, 9951), List(2581, 6618), List(6929, 7781), List(1531, 11490), List(6378, 10876), List(4141, 10331), List(495, 10406), List(1269, 9800), List(1962, 7512), List(4978, 7795), List(3347, 8780), List(2579, 6922), List(7517, 7924), List(2976, 9776), List(261, 6977), List(4414, 9150), List(1880, 8641), List(6427, 9233), List(3777, 5331), List(1564, 9344), List(4241, 10161), List(2496, 10078), List(8843, 8962), List(4801, 8283), List(5604, 6163), List(3031, 10587), List(8284, 9907), List(9552, 10590), List(11, 7152), List(8278, 10092), List(286, 2661), List(4355, 7415), List(6657, 8355), List(2333, 8744), List(1617, 7076), List(3272, 3479), List(1739, 8005), List(1687, 7815), List(1964, 4151), List(835, 8538), List(3607, 6209), List(5966, 7683), List(2337, 3201), List(1115, 5145), List(7056, 9003), List(4690, 6358), List(1825, 6244), List(9328, 11232), List(1166, 5110), List(4316, 7837), List(7802, 10513), List(4438, 9520), List(5527, 7232), List(7994, 10683), List(9520, 11402), List(148, 8739), List(7250, 9219), List(5158, 5645), List(569, 10489), List(1013, 1835), List(2943, 7333), List(6887, 7854), List(1231, 6609), List(1415, 8416), List(1783, 7122), List(8505, 11545), List(575, 4992), List(779, 8205), List(8062, 10975), List(598, 9325), List(89, 1342), List(1439, 10695), List(6449, 11011), List(5857, 6935), List(4014, 10481), List(7348, 8599), List(497, 2076), List(5763, 6519), List(4383, 11287), List(5159, 11508), List(4937, 6211), List(393, 972), List(1996, 8519), List(1024, 1970), List(1726, 6214), List(3694, 8032), List(3510, 5471), List(2078, 10049), List(2176, 7174), List(3102, 3956), List(1760, 5044), List(1055, 6918), List(2070, 9407), List(4035, 5292), List(1571, 5522), List(5712, 6180), List(2324, 4039), List(4748, 6662), List(8036, 8599), List(3158, 7648), List(942, 8734), List(5341, 7176), List(2621, 10449), List(2068, 9711), List(1965, 8832), List(2976, 11549), List(6173, 7706), List(8604, 11500), List(2379, 7129), List(257, 11260), List(467, 5593), List(3056, 3557), List(2238, 10280), List(1956, 4932), List(268, 5383), List(2924, 4569), List(57, 4382), List(8862, 11135), List(6651, 9559), List(4720, 11006), List(520, 9741), List(2905, 5266), List(5527, 5622), List(1394, 6333), List(2409, 8068), List(3502, 4024), List(7772, 9411), List(4240, 10554), List(164, 4629), List(4026, 5872), List(4062, 5529), List(3344, 9450), List(2372, 5153), List(5288, 5986), List(4355, 8033), List(905, 5014), List(10431, 11527), List(1842, 6092), List(7654, 7850), List(7026, 7527), List(7652, 11187), List(2614, 8823), List(713, 1811), List(3204, 9820), List(1045, 4270), List(10920, 10937), List(4263, 5411), List(5440, 5976), List(1455, 5831), List(1360, 8977), List(5066, 9707), List(24, 7601), List(5027, 6746), List(1751, 5600), List(4963, 9205), List(3008, 6094), List(1292, 4497), List(4554, 8219), List(6915, 8985), List(2625, 8958), List(3528, 10452), List(1684, 4728), List(285, 5282), List(3893, 9641), List(1410, 5657), List(942, 4091), List(2554, 3830), List(3555, 6613), List(4676, 9498), List(2613, 4410), List(4201, 6761), List(5011, 5812), List(2521, 11237), List(892, 3223), List(3544, 11335), List(3260, 11576), List(4139, 8512), List(1338, 10857), List(1584, 7880), List(1856, 6124), List(2609, 3887), List(1009, 7191), List(7968, 11527), List(769, 7704), List(543, 11333), List(694, 9250), List(2502, 8901), List(5060, 5300), List(11027, 11133), List(7329, 10264), List(1777, 9399), List(2033, 7110), List(4335, 8050), List(4796, 6947), List(4462, 7825), List(6425, 9299), List(5014, 8338), List(320, 9948), List(3587, 6844), List(3621, 6428), List(2654, 6639), List(1495, 6653), List(5139, 10669), List(3148, 7147), List(901, 5914), List(583, 909), List(4042, 5145), List(8641, 10091), List(6939, 7426), List(2300, 8743), List(9860, 10101), List(5438, 7703), List(307, 9312), List(9266, 9362), List(5462, 8097), List(147, 4893), List(7172, 9125), List(88, 9948), List(9135, 10599), List(2973, 4298), List(894, 11509), List(6090, 8797), List(703, 6279), List(3528, 8492), List(228, 9204), List(9660, 9666), List(551, 8891), List(3290, 9832), List(1657, 10744), List(3622, 5875), List(2429, 6305), List(1498, 2763), List(4216, 9997), List(8419, 10779), List(1188, 2537), List(477, 6875), List(3218, 5233), List(1438, 6095), List(3215, 10597), List(340, 10549), List(2611, 9170), List(990, 1017), List(490, 10493), List(2852, 5068), List(3258, 3504), List(5744, 7005), List(3383, 4704), List(1917, 4036), List(8305, 9337), List(2515, 9812), List(5455, 10285), List(2786, 10083), List(415, 11258), List(3469, 7861), List(17, 4015), List(1626, 4237), List(2978, 3837), List(474, 5422), List(131, 8466), List(3672, 4433), List(8496, 8531), List(1249, 1254), List(4932, 10860), List(5703, 10737), List(5235, 8417), List(4648, 4685), List(3490, 8334), List(2827, 6300), List(616, 4724), List(3766, 7451), List(9655, 11119), List(1873, 5218), List(6307, 8407), List(9899, 11479), List(1243, 4822), List(495, 10032), List(1524, 3529), List(1887, 8307), List(607, 3857), List(5069, 6785), List(6588, 10497), List(2147, 6137), List(2388, 9232), List(924, 2975), List(571, 1167), List(1453, 8200), List(1018, 2610), List(2064, 3658), List(8259, 11570), List(1719, 6629), List(1101, 7748), List(2252, 7092), List(266, 10330), List(4717, 8962), List(9189, 9225), List(1603, 2482), List(406, 9586), List(6168, 7817), List(3494, 11435), List(8695, 11319), List(1773, 10248), List(7903, 10595), List(4983, 10774), List(4011, 6477), List(220, 10335), List(10584, 11531), List(2487, 5804), List(1828, 6922), List(1114, 1163), List(4854, 11303), List(4438, 5763), List(900, 7061), List(11287, 11459), List(8737, 11171), List(1726, 6645), List(1274, 2549), List(135, 3996), List(5532, 7956), List(3625, 9043), List(3748, 11328), List(43, 1374), List(6390, 6674), List(5516, 5918), List(261, 2765), List(1006, 3673), List(6735, 9338), List(2783, 5923), List(3562, 5661), List(878, 8591), List(7448, 9210), List(8411, 10755), List(1152, 6127), List(1766, 1856), List(6201, 6371), List(5910, 9605), List(2553, 9783), List(585, 3801), List(6741, 9533), List(3847, 4517), List(990, 11434), List(5436, 9722), List(1168, 7010), List(4349, 9050), List(493, 7595), List(2286, 10378), List(2385, 10357), List(3228, 5384), List(4439, 11195), List(4848, 9902), List(15, 7970), List(5242, 6823), List(3160, 3937), List(4751, 9969), List(9715, 9940), List(7070, 7880), List(2376, 9490), List(6545, 9190), List(540, 7791), List(283, 5691), List(3366, 7196), List(2621, 7042), List(6659, 9477), List(5019, 7690), List(3052, 9480), List(727, 6836), List(3638, 6571), List(926, 9705), List(3240, 5744), List(2459, 5179), List(2386, 9804), List(5746, 9897), List(5587, 9086), List(6877, 11218), List(3818, 8609), List(6280, 6798), List(917, 8838), List(6063, 9015), List(3914, 8317), List(4659, 9225), List(5593, 10032), List(5190, 8861), List(729, 3125), List(6520, 10422), List(3559, 4184), List(694, 10486), List(2158, 3911), List(2075, 8572), List(5745, 7393), List(6335, 10642), List(4054, 4163), List(1170, 3999), List(1965, 4270), List(4117, 7895), List(4893, 8116), List(2157, 10856), List(4306, 4384), List(8079, 10500), List(3590, 9132), List(359, 1313), List(5085, 8286), List(1936, 1997), List(4021, 5154), List(576, 8895), List(1474, 3629), List(4299, 10760), List(2647, 7458), List(7170, 7656), List(4928, 7521), List(4799, 8831), List(3801, 10483), List(6380, 10011), List(432, 8392), List(7911, 8822), List(1281, 7371), List(6970, 10227), List(2199, 9173), List(1492, 5339), List(1418, 2946), List(1808, 3101), List(588, 5872), List(959, 8259), List(1614, 9651), List(308, 6986), List(5217, 7250), List(1347, 11000), List(6369, 8667), List(4459, 10991), List(6263, 10900), List(1817, 6196), List(1869, 6386), List(9563, 10188), List(1750, 4974), List(563, 3721), List(6251, 6352), List(781, 8495), List(3916, 9436), List(4548, 9878), List(6152, 9756), List(8392, 9818), List(684, 2146), List(5122, 5454), List(855, 2967), List(1014, 7161), List(768, 3722), List(301, 11426), List(3821, 6516), List(4096, 8441), List(1412, 7207), List(1076, 11422), List(7299, 8550), List(907, 3507), List(7006, 10957), List(781, 924), List(1154, 9800), List(6606, 7051), List(219, 8768), List(6853, 6928), List(3338, 3514), List(6223, 10696), List(3453, 4026), List(6780, 11553), List(7320, 9023), List(9221, 9619), List(4414, 9662), List(1797, 7398), List(5076, 5809), List(57, 7659), List(1156, 6813), List(5166, 7954), List(2265, 5931), List(1272, 7927), List(7707, 8910), List(5155, 7041), List(7990, 8444), List(2042, 3415), List(4251, 8328), List(2699, 5634), List(2255, 4462), List(80, 3297), List(2442, 10704), List(4966, 8273), List(2032, 6110), List(605, 11032), List(1037, 11443), List(2164, 6229), List(4622, 6928), List(1265, 7106), List(2566, 3011), List(4522, 9730), List(5016, 6855), List(3175, 4058), List(9415, 9461), List(6137, 7488), List(982, 4539), List(101, 10940), List(9225, 9337), List(3750, 3966), List(9531, 10575), List(844, 3851), List(2406, 4981), List(2585, 6444), List(5291, 5747), List(6846, 9116), List(3981, 9756), List(1371, 4499), List(7442, 9901), List(7225, 11364), List(1241, 2174), List(864, 2224), List(3135, 8015), List(3042, 4818), List(8176, 9896), List(2267, 8205), List(4194, 7770), List(7955, 8207), List(4228, 6600), List(8320, 10025), List(9877, 10057), List(138, 8132), List(5617, 7206), List(7723, 8988), List(3006, 8894), List(1504, 8569), List(1869, 7004), List(379, 8194), List(5091, 11297), List(8914, 10360), List(3714, 7668), List(1026, 8944), List(23, 3836), List(970, 9012), List(335, 8272), List(331, 11536), List(9147, 9780), List(6382, 6864), List(5601, 7053), List(3111, 8314), List(3259, 8966), List(1948, 5203), List(3844, 5455), List(989, 6783), List(4719, 4901), List(3292, 8325), List(1444, 7363), List(6218, 11344), List(3575, 10111), List(920, 5111), List(1414, 2236), List(6579, 6627), List(3103, 4639), List(3158, 8510), List(1917, 6240), List(78, 860), List(6681, 10287), List(3061, 10829), List(5274, 6816), List(2076, 10434), List(5459, 9979), List(1436, 9350), List(99, 11536), List(2807, 10912), List(2533, 5425), List(2743, 2791), List(5383, 10142), List(94, 8159), List(1343, 3874), List(1897, 5214), List(2146, 8170), List(9389, 11541), List(2200, 8406), List(1115, 10813), List(217, 3247), List(5165, 9101), List(5657, 8809), List(8542, 9575), List(5276, 9871), List(2671, 4958), List(10752, 10926), List(8143, 9277), List(3965, 9491), List(2786, 8099), List(3087, 8993), List(6320, 7059), List(1851, 11231), List(5022, 8419), List(2752, 6236), List(3708, 10774), List(7966, 9765), List(2429, 9932), List(3551, 4374), List(5978, 10678), List(9832, 11306), List(154, 989), List(778, 816), List(7777, 10243), List(344, 4496), List(3360, 11195), List(9180, 10562), List(16, 4438), List(5370, 10980), List(76, 8653), List(1612, 4398), List(4406, 11462), List(5528, 5904), List(2205, 11328), List(5407, 7829), List(3072, 4497), List(2478, 10174), List(1568, 7509), List(198, 887), List(3783, 9204), List(5049, 9060), List(7444, 10191), List(8791, 9447), List(2225, 8947), List(1033, 7350), List(4623, 10349), List(5461, 11448), List(294, 10394), List(2584, 9819), List(2143, 10076), List(3423, 7356), List(1589, 2320), List(1031, 3490), List(1776, 8562), List(680, 2509), List(1810, 7392), List(6729, 8344), List(3910, 10857), List(8053, 11588), List(6504, 9165), List(1614, 6699), List(179, 8350), List(373, 8593), List(6278, 7132), List(2607, 8840), List(8610, 9412), List(8641, 8725), List(2354, 4230), List(412, 600), List(4123, 5838), List(2068, 4775), List(3434, 8245), List(1259, 9332), List(786, 6668), List(4402, 10134), List(5183, 10699), List(3584, 8189), List(726, 5082), List(1716, 9204), List(3674, 10334), List(9687, 10096), List(523, 8136), List(218, 7500), List(5698, 6799), List(653, 1012), List(1864, 6823), List(1430, 10503), List(5036, 6865), List(1984, 4646), List(1010, 10102), List(1015, 10446), List(517, 3753), List(1408, 7896), List(6707, 11321), List(6666, 8314), List(2968, 8199), List(5485, 11013), List(727, 4502), List(3836, 11392), List(1377, 5550), List(2867, 4360), List(4119, 10926), List(3152, 7727), List(750, 9589), List(2436, 5305), List(5457, 5932), List(314, 10190), List(4209, 6655), List(3395, 10114), List(1986, 3564), List(318, 6145), List(2586, 6003), List(306, 8794), List(2109, 8101), List(4535, 5135), List(3598, 7440), List(2579, 8215), List(266, 8614), List(8557, 11174), List(1174, 4790), List(6580, 11522), List(1327, 5032), List(4689, 5952), List(2918, 11064), List(8322, 11307), List(440, 7454), List(4555, 6137), List(1444, 9754), List(1535, 2702), List(2935, 5002), List(1128, 10457), List(1772, 1891), List(1849, 4555), List(7638, 11025), List(3586, 9658), List(6259, 6569), List(872, 3297), List(3800, 7143), List(1116, 10073), List(259, 4760), List(6974, 8012), List(1611, 10052), List(434, 3071), List(3732, 6450), List(1801, 7143), List(2639, 4078), List(1111, 2532), List(5558, 10844), List(3784, 5859), List(9422, 9908), List(6839, 8726), List(3102, 9437), List(6025, 6523), List(5870, 8864), List(7614, 9476), List(1260, 3005), List(6048, 10856), List(5, 6721), List(5607, 6949), List(176, 8266), List(624, 2040), List(1260, 6388), List(1719, 4458), List(2001, 7554), List(8064, 8931), List(6825, 10898), List(9161, 11422), List(4150, 10881), List(224, 2271), List(1304, 9319), List(7563, 7602), List(6477, 7155), List(3423, 4136), List(4756, 5214), List(5817, 8048), List(616, 1748), List(6197, 7515), List(1333, 11188), List(891, 3673), List(2821, 9171), List(3760, 10322), List(3232, 4541), List(7584, 8829), List(7233, 7848), List(7296, 11580), List(6233, 6421), List(3223, 10090), List(2447, 3453), List(2168, 4038), List(4493, 10065), List(995, 10038), List(7352, 9610), List(4146, 9203), List(2713, 4511), List(2680, 8535), List(5132, 6790), List(3306, 5779), List(1965, 4059), List(31, 7487), List(1609, 1980), List(487, 1876), List(870, 11440), List(276, 6537), List(30, 8016), List(3977, 11087), List(2697, 3227), List(1339, 3782), List(1774, 10126), List(269, 7251), List(1817, 5285), List(7895, 9606), List(3378, 6190), List(2903, 3453), List(3560, 5672), List(10691, 11054), List(5610, 9774), List(5543, 7798), List(8698, 10869), List(8631, 9647), List(3803, 8813), List(8042, 9252), List(928, 1595), List(7233, 7393), List(3417, 8777), List(8685, 9883), List(7045, 7342), List(8783, 10418), List(8, 1595), List(7628, 7922), List(1895, 4013), List(9083, 9929), List(3450, 3972), List(1091, 6662), List(906, 6128), List(1921, 8617), List(868, 3392), List(6654, 10345), List(3667, 5138), List(1991, 7858), List(3659, 8660), List(6747, 10509), List(2351, 11584), List(2201, 7853), List(758, 2473), List(2499, 5066), List(8820, 11397), List(8567, 10951), List(707, 9301), List(3004, 9897), List(5332, 5642), List(4607, 6140), List(3274, 10697), List(8384, 8965), List(2990, 4522), List(8201, 9258), List(1061, 2632), List(1059, 5969), List(6224, 10360), List(5417, 8574), List(250, 4110), List(726, 9701), List(6569, 6608), List(8250, 9150), List(1842, 6580), List(214, 11246), List(1422, 6960), List(498, 4589), List(3798, 3877), List(5356, 7517), List(5739, 6531), List(110, 7109), List(7737, 10443), List(8320, 10269), List(4431, 6422), List(2495, 6771), List(8945, 9540), List(2066, 10795), List(2978, 3707), List(9655, 10639), List(8631, 11070), List(8908, 9658), List(2435, 5939), List(3902, 7209), List(657, 7628), List(3181, 7449), List(1927, 4974), List(3960, 11351), List(3893, 10129), List(2988, 7808), List(8373, 9499), List(966, 2721), List(3455, 9903), List(370, 1155), List(3329, 10730), List(130, 8084), List(10238, 10815), List(3137, 7527), List(3254, 8866), List(3794, 6336), List(2854, 4960), List(3788, 8019), List(291, 5184), List(2099, 8999), List(604, 3429), List(3126, 6587), List(3279, 6829), List(5751, 6460), List(4562, 8544), List(823, 7674), List(5059, 9350), List(234, 1617), List(6209, 10721), List(46, 1566), List(1912, 9523), List(4030, 7902), List(5145, 7589), List(1754, 2521), List(6475, 9150), List(1222, 9076), List(5525, 7810), List(63, 9090), List(619, 4087), List(8781, 10209), List(3640, 4714), List(2831, 8517), List(1809, 3359), List(54, 1807), List(1451, 4590), List(1553, 8250), List(2857, 3672), List(426, 632), List(2421, 10689), List(6989, 10660), List(8758, 8885), List(736, 9159), List(5371, 6188), List(677, 7798), List(2322, 3513), List(4870, 5640), List(3774, 6003), List(4591, 6225), List(3679, 9149), List(761, 3739), List(2383, 11336), List(3536, 7343), List(4797, 6101), List(1008, 10786), List(1122, 1274), List(6827, 8797), List(1498, 3251), List(5331, 10172), List(3583, 6408), List(451, 8394), List(744, 5263), List(6972, 9151), List(152, 1187), List(2992, 9350), List(6192, 11440), List(343, 10554), List(8275, 11518), List(147, 4226), List(5573, 6672), List(6027, 10814), List(5450, 7770), List(245, 10396), List(3781, 6019), List(2170, 9134), List(7555, 11579), List(9761, 9805), List(3412, 10848), List(5788, 7765), List(4028, 6650), List(1571, 8051), List(1820, 4591), List(868, 6588), List(9101, 10698), List(290, 6382), List(2719, 2933), List(6457, 9994), List(827, 9970), List(1008, 6598), List(5435, 7088), List(5928, 10404), List(7043, 10091), List(1840, 9380), List(1439, 2620), List(6829, 8819), List(5394, 9716), List(9198, 10981), List(312, 1418), List(509, 8348), List(352, 8364), List(252, 10412), List(7101, 10446), List(7130, 8932), List(7682, 9445), List(5600, 6559), List(5199, 6215), List(32, 5161), List(8244, 11400), List(1176, 9750), List(5066, 6625), List(6473, 10096), List(8400, 8907), List(212, 3816), List(3081, 4803), List(3451, 3582), List(2823, 6265), List(2769, 9412), List(7117, 11329), List(1174, 6644), List(8701, 9774), List(481, 9309), List(2101, 9663), List(8634, 11181), List(2660, 11347), List(3648, 9007), List(8009, 11129), List(1202, 8288), List(3083, 7508), List(3050, 5116), List(5052, 5764), List(9152, 9831), List(5115, 10250), List(2372, 11065), List(3619, 4455), List(6912, 8988), List(3385, 4059), List(250, 3118), List(10575, 10802), List(370, 7384), List(7277, 10806), List(90, 8498), List(5601, 7110), List(871, 9063), List(5835, 9034), List(10881, 11259), List(743, 9817), List(3472, 3654), List(1359, 5619), List(8363, 8974), List(2735, 3361), List(1417, 9007), List(1045, 7149), List(4472, 8464), List(6024, 8152), List(5435, 8511), List(2505, 3838), List(4256, 7119), List(1290, 6953), List(204, 5752), List(3072, 9547), List(2375, 7929), List(1592, 10701), List(6105, 6801), List(8562, 8810), List(2223, 8289), List(6982, 7074), List(46, 7795), List(2907, 4003), List(3277, 3536), List(355, 9304), List(5665, 9912), List(6816, 9256), List(7287, 11093), List(5912, 9789), List(2493, 9089), List(306, 5655), List(3549, 4409), List(5815, 9856), List(5641, 8737), List(2685, 9259), List(5909, 9491), List(442, 8899), List(898, 8950), List(10493, 11096), List(1272, 8602), List(830, 1087), List(6153, 6818), List(179, 6984), List(637, 1446), List(5179, 6612), List(3604, 5220), List(3542, 7752), List(6465, 7844), List(2938, 8577), List(1293, 6446), List(3877, 10482), List(797, 8494), List(319, 6240), List(6151, 9374), List(117, 2319), List(5189, 10683), List(6082, 11489), List(9356, 9556), List(1063, 6923), List(2749, 3393), List(825, 7509), List(9634, 10998), List(830, 7853), List(7015, 8661), List(3837, 10302), List(843, 8088), List(4712, 7496), List(1966, 5384), List(6630, 11479), List(3268, 11313), List(1036, 11112), List(3832, 6925), List(341, 3905), List(4208, 9656), List(2825, 4327), List(2458, 9229), List(1993, 10590), List(3351, 3619), List(3918, 9328), List(3661, 7982), List(2391, 4220), List(708, 5769), List(2160, 8259), List(1487, 5507), List(7987, 11049), List(738, 7863), List(7675, 9242), List(5146, 9831), List(1448, 2546), List(6960, 10428), List(334, 6467), List(594, 944), List(4530, 4580), List(2976, 7475), List(3747, 7352), List(2842, 5031), List(2348, 7906), List(6480, 10730), List(3555, 4149), List(2966, 10170), List(561, 1935), List(6254, 7943), List(4516, 9785), List(5584, 9626), List(223, 5323), List(4861, 6033), List(10859, 11179), List(1375, 7521), List(3079, 4570), List(7184, 8981), List(3476, 8178), List(2954, 9005), List(2305, 10811), List(306, 7428), List(1140, 6873), List(6737, 10921), List(2661, 11412), List(4104, 4714), List(148, 9471), List(334, 2279), List(5179, 11418), List(6519, 8749), List(605, 6714), List(1890, 9256), List(4304, 10437), List(3127, 3456), List(6239, 9863), List(4116, 4724), List(2008, 7033), List(3209, 5740), List(3525, 9918), List(9540, 10507), List(2534, 6325), List(9939, 10024), List(4404, 4602), List(5459, 10654), List(3399, 5083), List(7819, 8566), List(1747, 5945), List(7419, 11076), List(2022, 7870), List(1686, 7921), List(58, 2007), List(6101, 10279), List(655, 9810), List(1178, 5421), List(2267, 10303), List(6439, 10274), List(2136, 5124), List(2006, 9215), List(9521, 11554), List(393, 11503), List(2943, 10293), List(4252, 10223), List(4004, 5957), List(3161, 5268), List(1669, 9795), List(3319, 5854), List(5142, 10731), List(1343, 3394), List(1447, 7881), List(819, 4148), List(6600, 10757), List(1097, 9754), List(3277, 9765), List(2809, 7445), List(6513, 11512), List(2905, 7153), List(1683, 9851), List(4243, 8575), List(7311, 9048), List(5351, 11255), List(2677, 10709), List(4607, 7539), List(257, 8959), List(713, 9764), List(1838, 10139), List(8558, 11483), List(5853, 9372), List(3797, 5455), List(4108, 9289), List(3206, 11403), List(923, 4097), List(6370, 10830), List(840, 2342), List(5597, 8628), List(3317, 11419), List(10, 4544), List(3466, 4345), List(3744, 10705), List(1416, 4380), List(4492, 8124), List(9001, 10898), List(9725, 10929), List(3459, 4305), List(1963, 7932), List(967, 3241), List(5302, 10558), List(2799, 5952), List(969, 9703), List(5914, 9624), List(7909, 9101), List(4048, 5050), List(997, 2302), List(2959, 9967), List(2049, 7302), List(8148, 8336), List(2040, 3052), List(6372, 6688), List(8235, 10964), List(5054, 6672), List(1785, 2533), List(107, 3672), List(1659, 3360), List(8706, 10549), List(4246, 7667), List(2169, 2873), List(8770, 11473), List(7364, 8604), List(2572, 9679), List(3369, 3607), List(5024, 7180), List(10163, 10350), List(6364, 9429), List(4464, 6025), List(1227, 10469), List(4116, 8725), List(5167, 10117), List(2493, 10325), List(2216, 5321), List(4924, 6949), List(9784, 10704), List(3862, 4644), List(10427, 10581), List(7373, 8316), List(5733, 5775), List(532, 6645), List(3584, 5831), List(206, 6660), List(6384, 10431), List(7991, 10580), List(3380, 7529), List(6284, 6817), List(3949, 9901), List(1571, 9905), List(4387, 7094), List(3532, 4136), List(5495, 5610), List(4598, 7314), List(3574, 7745), List(8054, 11279), List(2667, 8761), List(354, 2744), List(1880, 8381), List(1575, 3581), List(1503, 2015), List(687, 2395), List(542, 6178), List(6209, 10965), List(2813, 5553), List(4953, 7663), List(1541, 1718), List(2214, 4470), List(2631, 9454), List(1091, 4141), List(2933, 6786), List(8833, 10643), List(6760, 8974), List(622, 7985), List(7833, 8435), List(4170, 5123), List(5185, 6858), List(150, 8175), List(705, 6707), List(2518, 10866), List(3093, 6667), List(2227, 7684), List(2504, 6272), List(1609, 8803), List(3290, 7181), List(4372, 10892), List(825, 1524), List(1907, 5235), List(2712, 3942), List(1407, 10547), List(1212, 7827), List(3059, 10816), List(5115, 9071), List(2497, 8834), List(7401, 8754), List(2702, 5856), List(3581, 6956), List(2852, 5800), List(2766, 4528), List(4466, 7120), List(4529, 10852), List(4410, 9440), List(356, 11410), List(5089, 9728), List(6646, 9760), List(9879, 11209), List(7767, 9612), List(3587, 8999), List(1135, 11498), List(2723, 7433), List(5235, 9149), List(3672, 8548), List(6440, 10981), List(4451, 8286), List(7474, 9740), List(2302, 8342), List(8, 7263), List(1333, 8480), List(2585, 3712), List(437, 6622), List(8682, 8837), List(4976, 8107), List(714, 5210), List(1920, 11431), List(2926, 7388), List(4937, 11562), List(918, 2761), List(4756, 9272), List(295, 3536), List(7464, 8648), List(1141, 8660), List(5999, 11588), List(4184, 5848), List(1357, 9224), List(9328, 9362), List(6484, 10879), List(5061, 6875), List(8258, 9448), List(1540, 11560), List(4965, 9796), List(6582, 10633), List(228, 8326), List(3673, 4585), List(572, 1720), List(4892, 8005), List(902, 7489), List(6318, 8493), List(4301, 10920), List(3924, 8718), List(4385, 9113), List(1245, 1412), List(1396, 11407), List(7025, 7796), List(9079, 10886), List(6310, 11234), List(1203, 10985), List(2268, 4893), List(6203, 10613), List(2844, 3548), List(6892, 11589), List(2346, 8933), List(2442, 9395), List(2967, 5833), List(7328, 7955), List(3066, 9222), List(2241, 8358), List(186, 7295), List(2314, 7116), List(278, 10267), List(2609, 3277), List(2741, 9812), List(10053, 11068), List(2975, 5320), List(1051, 10190), List(3014, 4494), List(7686, 8952), List(1048, 9138), List(5227, 10280), List(2759, 7358), List(4089, 8165), List(7079, 9479), List(329, 756), List(4146, 7918), List(792, 5361), List(7005, 7463), List(5482, 6261), List(1318, 4653), List(3204, 4217), List(5951, 11435), List(7561, 8849), List(9868, 10133), List(4773, 11399), List(118, 2414), List(1468, 5351), List(7622, 10256), List(4667, 7216), List(3679, 9556), List(3079, 5619), List(4226, 9725), List(4386, 5476), List(4688, 5060), List(7396, 7442), List(9199, 10913), List(6439, 9095), List(3600, 10202), List(4323, 4373), List(5477, 9650), List(6256, 9388), List(1015, 5941), List(10070, 11371), List(9515, 9806), List(6862, 7885), List(8135, 11164), List(2595, 5398), List(790, 4510), List(5022, 10948), List(2804, 8955), List(6890, 9152), List(7540, 10200), List(4028, 7057), List(1158, 6599), List(3747, 10979), List(2185, 3433), List(9490, 10688), List(2026, 4874), List(1647, 6009), List(7034, 9281), List(6562, 9471), List(6441, 11396), List(2864, 2940), List(2673, 6378), List(6162, 6319), List(1948, 6122), List(740, 3992), List(4480, 9968), List(5631, 9312), List(4750, 11549), List(3167, 10296), List(930, 10505), List(240, 9304), List(6781, 11437), List(3099, 11101), List(11, 3590), List(2414, 10998), List(1696, 8503), List(1474, 3206), List(1818, 7934), List(3156, 8602), List(1069, 5372), List(4775, 10266), List(6857, 8988), List(4959, 6411), List(4907, 6221), List(1949, 10080), List(813, 4628), List(2155, 3540), List(2466, 11538), List(1530, 7652), List(9310, 11228), List(2058, 3607), List(2617, 5291), List(906, 10454), List(968, 5670), List(3270, 6610), List(2544, 9916), List(8156, 10832), List(273, 4125), List(3768, 8018), List(1428, 6594), List(4798, 11539), List(1209, 11394), List(4824, 10508), List(1020, 2827), List(1606, 8586), List(2662, 4660), List(327, 7744), List(5898, 6407), List(144, 2375), List(5837, 8383), List(1411, 5085), List(3441, 7781), List(2909, 7920), List(1541, 4377), List(385, 2437), List(4844, 7346), List(4612, 7777), List(1480, 10517), List(2502, 2843), List(3527, 10184), List(4301, 9578), List(7516, 10448), List(3686, 7962), List(2987, 3265), List(4356, 6252), List(8158, 10854), List(935, 8889), List(742, 8494), List(2263, 2453), List(2395, 8988), List(284, 1200), List(4134, 4338), List(6348, 9595), List(7905, 9627), List(2673, 4768), List(2953, 7037), List(3385, 6694), List(2638, 5713), List(484, 507), List(9709, 10290), List(8248, 9966), List(3004, 7002), List(4867, 11278), List(447, 1379), List(2874, 11093), List(5152, 7475), List(5026, 9056), List(2725, 10970), List(6734, 9257), List(764, 10296), List(4269, 10016), List(563, 5876), List(3799, 7623), List(6137, 8220), List(7699, 9350), List(2497, 11493), List(5102, 9990), List(6315, 10212), List(9224, 9844), List(346, 10722), List(5604, 11140), List(2314, 6124), List(3577, 5709), List(2983, 4970), List(2053, 5036), List(5382, 9226), List(5946, 11254), List(5375, 8055), List(4002, 8332), List(454, 11194), List(3129, 8178), List(3409, 10447), List(5367, 11577), List(401, 10779), List(4914, 11043), List(1765, 4754), List(139, 6837), List(691, 934), List(3063, 6777), List(1504, 5918), List(5246, 10469), List(7768, 9463), List(2902, 11555), List(918, 9958), List(2819, 3384), List(8417, 11040), List(4857, 5971), List(2095, 6736), List(1554, 5631), List(582, 6252), List(6717, 6943), List(1765, 3599), List(4641, 11419), List(4013, 7686), List(2985, 10627), List(1230, 9856), List(645, 6951), List(6801, 8519), List(2974, 10468), List(4661, 5628), List(1982, 8902), List(2653, 4411), List(4994, 10941), List(4717, 5937), List(8643, 8885), List(209, 355), List(6525, 10506), List(4992, 8616), List(2168, 10755), List(6394, 7579), List(35, 11344), List(9470, 11323), List(509, 10446), List(6703, 8334), List(2436, 2841), List(162, 9584), List(8534, 10820), List(228, 11335), List(6596, 11096), List(2654, 7615), List(1310, 8630), List(6444, 10675), List(7397, 9280), List(7278, 7868), List(4439, 8975), List(2072, 11023), List(16, 2942), List(642, 5848), List(4224, 8232), List(9224, 10112), List(10010, 11021), List(3216, 5032), List(4907, 8262), List(2158, 9262), List(441, 4811), List(6736, 9921), List(5580, 7981), List(2037, 11187), List(1003, 10176), List(9165, 9882), List(2808, 4648), List(476, 7249), List(9808, 10513), List(4615, 10490), List(8662, 9261), List(5083, 10558), List(7437, 7524), List(7906, 10446), List(1521, 8826), List(835, 4334), List(8897, 11006), List(2431, 4294), List(7426, 9994), List(1553, 4550), List(1336, 6013), List(8681, 9661), List(2322, 2846), List(5040, 10080), List(176, 8835), List(1575, 8281), List(1446, 3175), List(3065, 10474), List(3528, 5280), List(2917, 8324), List(7796, 11375), List(4742, 9110), List(5769, 6698), List(732, 11352), List(161, 8153), List(725, 10181), List(5823, 6180), List(2753, 9798), List(3095, 9535), List(9404, 11345), List(2892, 8452), List(593, 7029), List(3329, 8453), List(3435, 9603), List(7105, 8424), List(6847, 9886), List(3865, 9187), List(164, 8801), List(6501, 9249), List(1308, 6974), List(2636, 7708), List(11101, 11387), List(3267, 4542), List(7970, 10565), List(6867, 7505), List(10454, 10987), List(1452, 2939), List(5722, 9861), List(2446, 10967), List(5314, 8346), List(2451, 4895), List(4281, 6025), List(960, 5860), List(325, 11536), List(4277, 7037), List(1166, 3484), List(2351, 4664), List(1095, 4772), List(167, 7163), List(2500, 7416), List(3649, 6687), List(6264, 9255), List(5292, 9122), List(3466, 3947), List(2151, 9864), List(5998, 7069), List(523, 8868), List(488, 5649), List(866, 9207), List(2263, 7072), List(10972, 11111), List(1085, 7036), List(6054, 7351), List(1264, 2837), List(5281, 11565), List(758, 4197), List(47, 2873), List(766, 1806), List(3309, 5841), List(661, 4264), List(3372, 10327), List(1130, 9438), List(1704, 5738), List(6607, 7685), List(2321, 5148), List(2120, 7144), List(7474, 8024), List(2123, 4409), List(1467, 2792), List(2313, 10922), List(61, 2929), List(7980, 9293), List(5172, 10467), List(1738, 7981), List(465, 538), List(5196, 8609), List(1190, 9839), List(2026, 10111), List(7129, 7208), List(1559, 9147), List(1855, 5533), List(3238, 4446), List(6467, 11438), List(7336, 7686), List(9514, 11034), List(4507, 7983), List(6587, 10042), List(1702, 2258), List(671, 7180), List(1416, 1672), List(6641, 10278), List(679, 5543), List(6527, 9210), List(2749, 6914), List(1317, 5076), List(1906, 2438), List(238, 4265), List(389, 10850), List(4706, 7038), List(3126, 9466), List(3016, 4410), List(9717, 10962), List(4892, 6639), List(65, 8659), List(6290, 6614), List(4855, 7511), List(128, 6729), List(3077, 5036), List(2669, 9937), List(3442, 3471), List(5255, 8384), List(1889, 9974), List(4537, 5135), List(996, 2752), List(1793, 3850), List(1452, 3557), List(4939, 9087), List(832, 1597), List(2070, 5821), List(1509, 7474), List(7919, 10090), List(2409, 8670), List(6979, 9468), List(7861, 10085), List(4241, 11381), List(5552, 7974), List(7854, 8914), List(8470, 11132), List(1820, 1859), List(2369, 2855), List(8072, 10305), List(3184, 8666), List(176, 8998), List(3519, 11396), List(1566, 4194), List(4828, 7162), List(7166, 7759), List(2022, 2747), List(2842, 8902), List(5261, 10427), List(442, 1011), List(2114, 4965), List(1348, 6186), List(7781, 10506), List(2805, 9020), List(8180, 10777), List(1440, 9158), List(5480, 6758), List(2610, 8552), List(2452, 4960), List(10309, 10446), List(5385, 9904), List(3509, 10304), List(4331, 7460), List(3818, 5397), List(1514, 3630), List(707, 1844), List(4410, 8692), List(850, 7787), List(9628, 9711), List(4251, 7881), List(4373, 6558), List(10221, 10225), List(6274, 7154), List(390, 3830), List(3311, 6505), List(1473, 10395), List(3782, 6090), List(5642, 5931), List(5373, 11368), List(1913, 4251), List(786, 7213), List(2587, 9857), List(6728, 10515), List(816, 8553), List(2924, 6244), List(5415, 10089), List(2994, 7737), List(3677, 11177), List(10618, 10800), List(2689, 7101), List(5380, 11034), List(5424, 11306), List(7507, 10630), List(6975, 11523), List(839, 6443), List(5666, 7806), List(7686, 9814), List(804, 972), List(4821, 9700), List(3534, 11249), List(6834, 10537), List(1920, 10683), List(1245, 11268), List(1109, 11407), List(2470, 8117), List(3187, 4725), List(5025, 10634), List(1601, 8836), List(1539, 7958), List(4366, 4582), List(5897, 6399), List(5952, 10270), List(351, 8732), List(2877, 2964), List(6147, 9957), List(512, 7337), List(249, 8455), List(1940, 5269), List(2119, 7486), List(2526, 4612), List(3651, 9151), List(650, 5766), List(10388, 10472), List(405, 5935), List(403, 2856), List(6323, 8843), List(5160, 5732), List(8712, 9405), List(616, 7286), List(5251, 8479), List(6710, 7976), List(7264, 9316), List(3504, 7569), List(2102, 2190), List(7492, 11395), List(646, 2964), List(4811, 7426), List(4780, 5861), List(2745, 2821), List(883, 8569), List(8200, 10169), List(2159, 8359), List(9263, 9666), List(3124, 5069), List(2840, 5310), List(1067, 7343), List(855, 9904), List(4169, 6646), List(8258, 11278), List(9321, 10021), List(3246, 7129), List(4605, 9428), List(2427, 4582), List(4166, 6348), List(1846, 10464), List(2304, 5680), List(6342, 8869), List(4014, 6708), List(3580, 9634), List(2860, 6312), List(9580, 10662), List(3790, 10383), List(2730, 11157), List(7905, 9066), List(1355, 9853), List(4164, 5871), List(8854, 10935), List(1693, 9848), List(941, 1353), List(164, 8077), List(1313, 6594), List(9352, 11562), List(7855, 11581), List(1217, 10269), List(7139, 9913), List(7507, 7865), List(6328, 11391), List(6919, 11078), List(4985, 8844), List(2741, 11292), List(3386, 8586), List(2090, 10019), List(7343, 10093), List(7615, 8337), List(6448, 8460), List(3513, 7607), List(6632, 11021), List(1703, 2965), List(2055, 7554), List(3884, 5830), List(2141, 6574), List(1774, 5060), List(4594, 7683), List(4432, 6601), List(6739, 7885), List(6897, 9225), List(483, 2703), List(3411, 6549), List(3593, 6031), List(4935, 4943), List(1478, 7169), List(3586, 8243), List(348, 3417), List(7269, 11433), List(1228, 9623), List(478, 9125), List(6045, 10298), List(9071, 11269), List(537, 9705), List(9943, 11198), List(8720, 10288), List(9305, 10941), List(6693, 11273), List(2128, 8567), List(3076, 9834), List(2241, 6000), List(1401, 8238), List(2526, 8613), List(3046, 4707), List(5294, 8794), List(3484, 8316), List(1237, 7083), List(9702, 10762), List(2200, 9382), List(1362, 1867), List(1582, 4085), List(10329, 10860), List(3066, 8742), List(547, 5855), List(2073, 10738), List(141, 4413), List(4447, 6828), List(4010, 10991), List(1240, 3567), List(3980, 8116), List(5434, 11433), List(3782, 8131), List(4064, 11227), List(5580, 11258), List(1755, 9116), List(4072, 11088), List(3536, 4692), List(8268, 9201), List(4829, 6371), List(6458, 8723), List(6197, 9133), List(6945, 7306), List(1902, 8762), List(2373, 8347), List(5886, 8682), List(7386, 8180), List(4943, 10041), List(5134, 7357), List(311, 6113), List(4361, 10817), List(4726, 5088), List(5512, 5997), List(4137, 5447), List(5159, 8353), List(7908, 10736), List(3205, 8096), List(488, 10886), List(3413, 8799), List(4070, 6854), List(5224, 6469), List(1516, 4912), List(3202, 7798), List(10297, 10517), List(1851, 11052), List(5187, 6587), List(8177, 11311), List(2764, 7572), List(4968, 4971), List(200, 4188), List(1232, 2120), List(3625, 8840), List(666, 3429), List(3960, 9318), List(10353, 10799), List(1250, 6863), List(699, 9204), List(3407, 4416), List(2280, 10384), List(4924, 8055), List(6264, 10304), List(8308, 10454), List(2771, 10621), List(3490, 9554), List(7683, 10402), List(6485, 8960), List(2420, 3224), List(9675, 10362), List(1469, 1659), List(814, 10066), List(591, 10960), List(2133, 6550), List(10696, 10764), List(4008, 5171), List(670, 3147), List(1363, 7275), List(3255, 10037), List(8268, 10624), List(7050, 7052), List(9505, 11240), List(2569, 10463), List(4983, 5228), List(5963, 9386), List(6173, 10162), List(1507, 3240), List(385, 7300), List(1593, 9430), List(2403, 8481), List(8230, 11271), List(2311, 8892), List(1122, 6812), List(2930, 10627), List(8790, 9393), List(1529, 11108), List(810, 5005), List(5108, 7559), List(2869, 6187), List(4077, 6065), List(3825, 11479), List(6404, 8755), List(4795, 5527), List(6916, 10593), List(1744, 2779), List(5464, 7379), List(2332, 3703), List(11113, 11560), List(1416, 2721), List(2285, 3133), List(237, 5493), List(330, 1520), List(8485, 10635), List(6049, 7251), List(553, 7419), List(5754, 7303), List(2659, 5037), List(4056, 7066), List(7891, 10650), List(19, 1069), List(3682, 5135), List(2190, 9662), List(6431, 6764), List(6863, 7175), List(4185, 9139), List(606, 10436), List(3433, 7060), List(749, 3574), List(6411, 8771), List(7911, 8269), List(3026, 6901), List(3581, 4679), List(8183, 9896), List(2995, 7965), List(4612, 8802), List(6410, 7765), List(3863, 6994), List(2464, 7548), List(5126, 6579), List(7094, 8397), List(376, 11263), List(2618, 4982), List(1871, 10417), List(2084, 11464), List(1425, 10330), List(1475, 3277), List(3594, 10926), List(6035, 8992), List(1163, 1470), List(2446, 9601), List(2234, 11408), List(4658, 5363), List(7082, 7232), List(2794, 10284), List(8067, 11010), List(482, 11285), List(5052, 7919), List(4733, 9105), List(3112, 11532), List(1, 7979), List(6537, 9768), List(3607, 5095), List(2244, 5306), List(1903, 11429), List(7073, 9748), List(4138, 4731), List(9086, 10585), List(4146, 8756), List(9151, 9482), List(7056, 11272), List(1493, 10218), List(7341, 7469), List(4277, 4516), List(1051, 6840), List(7260, 11452), List(2690, 4992), List(608, 6270), List(978, 5049), List(8018, 10313), List(195, 3657), List(7734, 10554), List(2029, 3031), List(547, 1830), List(3709, 5348), List(3586, 6446), List(848, 8359), List(1126, 1133), List(1222, 8011), List(6253, 9204), List(2896, 9382), List(2169, 2637), List(4763, 7361), List(8739, 9672), List(1115, 6609), List(7658, 8815), List(10798, 10854), List(462, 2257), List(7800, 11150), List(3566, 4639), List(9670, 10181), List(3002, 5240), List(1952, 10866), List(3934, 5974), List(5124, 10908), List(2933, 10738), List(8418, 10381), List(6448, 7736), List(3745, 6452), List(1071, 10070), List(787, 3895), List(4460, 8649), List(6135, 6458), List(3417, 4142), List(524, 1980), List(183, 1687), List(2151, 3505), List(2077, 5276), List(1431, 10763), List(4762, 9364), List(3048, 5184), List(863, 4829), List(6310, 8152), List(775, 2730), List(7492, 9061), List(3822, 8742), List(8298, 10622), List(1698, 5630), List(5273, 6843), List(419, 4788), List(3820, 11298), List(2409, 3921), List(5220, 7182), List(3069, 6411), List(4063, 7269), List(3067, 3332), List(37, 1461), List(1064, 4711), List(2034, 8181), List(5153, 9343), List(1445, 7786), List(8040, 10182), List(411, 6775), List(221, 235), List(1662, 9706), List(2735, 9167), List(4349, 9733), List(3770, 10780), List(18, 3289), List(300, 2221), List(4320, 8214), List(428, 11266), List(11035, 11466), List(3485, 4380), List(3781, 7182), List(1399, 11174), List(9040, 11208), List(4907, 11165), List(5406, 5628), List(5333, 6843), List(4211, 10149), List(510, 5599), List(2103, 6042), List(1005, 3326), List(6801, 10967), List(9072, 10342), List(3437, 3558), List(11176, 11297), List(2595, 9887), List(8374, 8499), List(6600, 10684), List(3122, 5617), List(2955, 7197), List(1583, 5410), List(3988, 7983), List(5786, 11110), List(3458, 4785), List(4239, 5350), List(8005, 10295), List(273, 3003), List(501, 11498), List(8249, 10655), List(3603, 10801), List(7658, 9433), List(5036, 9077), List(6801, 9812), List(188, 10220), List(1104, 6314), List(574, 3116), List(5805, 11510), List(521, 3455), List(7045, 9391), List(1195, 9061), List(2124, 6114), List(4429, 10735), List(322, 5497), List(5642, 6793), List(3842, 7003), List(379, 6031), List(4991, 5520), List(4277, 4679), List(1448, 6474), List(4034, 7173), List(3748, 10751), List(7693, 11497), List(5487, 6855), List(3675, 5550), List(2491, 7978), List(210, 1499), List(6813, 10172), List(2515, 6120), List(8194, 8258), List(2583, 10950), List(3302, 9883), List(147, 396), List(3261, 3466), List(4291, 11151), List(7620, 8925), List(6408, 9305), List(8024, 10671), List(3103, 8892), List(5214, 10264), List(5993, 10002), List(5807, 11532), List(912, 8722), List(4403, 5326), List(757, 5401), List(8286, 10856), List(10622, 11380), List(164, 7516), List(2282, 5895), List(8448, 8905), List(3338, 8385), List(661, 1906), List(1226, 7542), List(7139, 9352), List(66, 3948), List(9305, 11185), List(3856, 7035), List(4800, 9284), List(9703, 11231), List(620, 2255), List(1585, 4627), List(2022, 5382), List(5628, 8160), List(6849, 8997), List(7178, 7775), List(4660, 11152), List(740, 9904), List(11016, 11253), List(5741, 8976), List(2456, 10720), List(3031, 6521), List(2870, 9047), List(4181, 5640), List(6667, 9141), List(550, 6747), List(6171, 11189), List(6078, 8746), List(4457, 4757), List(721, 7568), List(9012, 10128), List(2071, 10505), List(1058, 11125), List(4172, 7025), List(5395, 8689), List(192, 7978), List(3050, 4669), List(4426, 8827), List(3362, 4941), List(3026, 9910), List(2365, 7195), List(2112, 9755), List(713, 10309), List(6434, 8916), List(5431, 10224), List(3256, 4895), List(3295, 10485), List(6003, 9861), List(1073, 4586), List(4682, 9547), List(7, 11207), List(2505, 3391), List(2775, 11388), List(874, 4376), List(6484, 9383), List(2590, 8602), List(319, 3565), List(3253, 10609), List(2780, 8699), List(244, 947), List(1212, 7754), List(4233, 7627), List(1864, 5465), List(2646, 8884), List(6562, 10390), List(1359, 10433), List(8996, 11449), List(5905, 11554), List(2075, 2652), List(681, 3550), List(4320, 7222), List(3855, 11589), List(2754, 9356), List(2105, 11162), List(5880, 7525), List(3230, 9285), List(1205, 6933), List(2321, 3058), List(198, 4335), List(5301, 7094), List(1892, 7082), List(1138, 8340), List(5157, 7315), List(10559, 10895), List(4559, 9840), List(9031, 9349), List(1034, 1574), List(4115, 5662), List(4863, 10251), List(8223, 10344), List(3249, 3269), List(1864, 7693), List(5795, 10985), List(8196, 8898), List(2487, 10301), List(7122, 11494), List(8829, 8841), List(7029, 9051), List(5129, 11309), List(5476, 9138), List(5748, 7382), List(82, 5449), List(1276, 1457), List(714, 11553), List(7710, 8631), List(6366, 9646), List(4219, 8994), List(3555, 9768), List(4305, 11020), List(1786, 5127), List(2373, 2443), List(8699, 9118), List(4241, 7063), List(10728, 11589), List(5773, 8728), List(1346, 8238), List(6046, 10580), List(5731, 9256), List(2460, 4290), List(1990, 5307), List(3891, 5903), List(1192, 11154), List(1536, 10964), List(4397, 7172), List(1749, 5595), List(2838, 4061), List(7214, 7245), List(7052, 8415), List(7716, 8395), List(2330, 8731), List(3942, 8470), List(9821, 11450), List(9480, 11157), List(10229, 10686), List(2221, 10666), List(9903, 10701), List(5956, 7630), List(8762, 9793), List(3179, 3199), List(2277, 10975), List(1666, 2685), List(8510, 8791), List(313, 5866), List(1242, 6329), List(6417, 11408), List(1374, 8700), List(1899, 5138), List(1532, 10040), List(6456, 11336), List(9061, 9833), List(3457, 8778), List(1373, 9229), List(3572, 6284), List(96, 4296), List(5541, 10956), List(211, 8972), List(6258, 7564), List(1614, 2121), List(3536, 6977), List(1789, 10231), List(87, 7566), List(5679, 7106), List(2910, 7454), List(8851, 11312), List(2481, 4308), List(1600, 6545), List(3928, 6454), List(5619, 9684), List(6950, 7683), List(4178, 10766), List(4209, 5915), List(811, 3086), List(5289, 6547), List(3678, 9662), List(3826, 9560), List(2336, 4334), List(2675, 3800), List(3055, 4021), List(71, 8911), List(1866, 1941), List(5606, 5665), List(2796, 5258), List(2587, 11500), List(8156, 9336), List(5470, 11439), List(3851, 8277), List(678, 3846), List(1706, 10704), List(6580, 7749), List(7700, 7780), List(3254, 7240), List(3627, 5536), List(2479, 10627), List(2854, 9750), List(4212, 5408), List(1409, 6926), List(248, 478), List(4112, 8210), List(3721, 8554), List(70, 8285), List(6859, 7514), List(1064, 9143), List(2426, 8707), List(1753, 3703), List(2589, 3975), List(3826, 8755), List(2742, 4971), List(3027, 7584), List(2955, 6018), List(6263, 9331), List(1115, 9081), List(2651, 8236), List(492, 3440), List(1643, 2784), List(6961, 9669), List(3767, 10777), List(6529, 7760), List(679, 3266), List(9015, 10507), List(28, 8409), List(2447, 9934), List(4412, 5819), List(186, 8995), List(805, 5068), List(6467, 9511), List(3714, 10392), List(3667, 10546), List(3440, 11321), List(5499, 6841), List(4595, 11538), List(101, 9826), List(937, 10098), List(2067, 10817), List(1969, 7276), List(1372, 2856), List(1654, 1788), List(286, 8825), List(2590, 3422), List(72, 7553), List(5450, 8827), List(1649, 11243), List(5978, 8946), List(1396, 4381), List(6598, 7873), List(1737, 3893), List(7276, 7936), List(1837, 5228), List(899, 11095), List(1546, 8462), List(5336, 7385), List(1824, 3488), List(7949, 9907), List(8988, 9010), List(12, 2183), List(2226, 7440), List(1949, 2436), List(453, 9473), List(3128, 9463), List(1481, 9915), List(5392, 11077), List(2811, 7312), List(1901, 8811), List(2651, 2893), List(6083, 8716), List(816, 10464), List(3711, 6256), List(8819, 9359), List(2235, 4900), List(2526, 10711), List(991, 5742), List(440, 8837), List(7346, 10903), List(3177, 8951), List(2893, 9192), List(2361, 10085), List(7435, 7942), List(3066, 10840), List(143, 922), List(4074, 4214), List(522, 9586), List(5489, 6822), List(7761, 9805), List(1943, 7478), List(195, 3714), List(1695, 3966), List(7646, 8512), List(8945, 10760), List(3649, 7606), List(8108, 10263), List(5959, 6155), List(3213, 7453), List(4522, 10389), List(3715, 8603), List(1782, 9223), List(7410, 8420), List(7162, 11324), List(3081, 11471), List(469, 3135), List(6157, 8799), List(529, 3186), List(5978, 7336), List(7440, 10514), List(1461, 10336), List(3546, 6323), List(86, 2616), List(1209, 6328), List(2301, 10727), List(1393, 2473), List(434, 9715), List(1735, 5620), List(9866, 10177), List(10666, 10792), List(5969, 6469), List(1459, 4224), List(4598, 8290), List(7836, 10864), List(4058, 4404), List(1047, 5219), List(2789, 4250), List(506, 8278), List(2539, 4075), List(2157, 7945), List(2162, 8289), List(5209, 7131), List(1718, 4111), List(1869, 4280), List(1129, 4470), List(9783, 10300), List(3470, 4584), List(1472, 4055), List(6079, 10370), List(1808, 9639), List(10423, 10633), List(2584, 9860), List(87, 2036), List(6043, 6926), List(1841, 8998), List(4136, 6515), List(925, 5764), List(5001, 5273), List(416, 1164), List(914, 11240), List(3942, 5868), List(3319, 6643), List(3191, 7397), List(1327, 10066), List(9257, 10203), List(422, 1329), List(128, 882), List(7008, 8897), List(819, 4937), List(595, 9393), List(4738, 10124), List(127, 7827), List(6013, 7814), List(3706, 6530), List(8468, 8996), List(1775, 3059), List(7855, 10459), List(6821, 10202), List(5042, 11289), List(2559, 7305), List(5164, 5802), List(3584, 8230), List(3799, 5940), List(86, 4039), List(3896, 9256), List(2396, 3342), List(5999, 6603), List(1771, 3290), List(1869, 3825), List(4966, 9200), List(5902, 6670), List(554, 9742), List(9047, 9053), List(6531, 9093), List(2897, 10683), List(7931, 9141), List(273, 832), List(553, 9517), List(1396, 10960), List(217, 10322), List(3725, 3897), List(2410, 2644), List(3913, 6577), List(8846, 11399), List(6977, 9560), List(385, 2177), List(7260, 9094), List(1527, 5939), List(4281, 7912), List(2658, 7260), List(347, 10738), List(3836, 11433), List(2368, 9938), List(6074, 7662), List(8159, 10819), List(2894, 9230), List(4630, 11479), List(2825, 11345), List(435, 8306), List(831, 7525), List(2825, 8312), List(1359, 7644), List(2068, 5889), List(7298, 10675), List(4094, 11095), List(1614, 11546), List(1193, 5662), List(733, 7367), List(7821, 9669), List(971, 3748), List(1041, 8651), List(666, 3112), List(2875, 8025), List(6611, 10095), List(8696, 10246), List(6036, 7154), List(291, 956), List(2159, 4822), List(3248, 9704), List(9344, 11221), List(844, 4323), List(1370, 3615), List(9742, 11267), List(4924, 11121), List(3018, 3765), List(2862, 6635), List(4570, 6836), List(7066, 11025), List(2379, 8918), List(1198, 5201), List(7144, 9403), List(3498, 9478), List(7357, 10450), List(977, 2758), List(1467, 6557), List(293, 10427), List(5114, 10090), List(102, 279), List(910, 11335), List(6832, 10979), List(3585, 9073), List(750, 4637), List(2142, 2158), List(727, 9349), List(2613, 8159), List(2611, 11496), List(1874, 11203), List(3669, 4233), List(3056, 5696), List(3515, 10182), List(2261, 7707), List(4203, 7550), List(857, 1501), List(2298, 3802), List(8770, 10302), List(6347, 11287), List(4245, 6271), List(2787, 10382), List(757, 1270), List(7461, 10749), List(2201, 9504), List(7758, 9989), List(8508, 8989), List(1354, 2657), List(5082, 7118), List(2062, 3683), List(976, 8898), List(8197, 10790), List(7383, 7833), List(5084, 10574), List(4640, 9402), List(4948, 7303), List(6360, 11118), List(6143, 6919), List(6948, 11288), List(6198, 10790), List(2060, 10403), List(5420, 9742), List(995, 10079), List(6352, 10476), List(7432, 11108), List(11473, 11562), List(1516, 8246), List(549, 9211), List(3926, 11163), List(8986, 10842), List(9015, 9328), List(3256, 11368), List(4684, 9300), List(4995, 6718), List(1082, 8893), List(7052, 11237), List(1574, 2939), List(1950, 11332), List(2320, 3695), List(1477, 3006), List(2282, 7375), List(3677, 9331), List(4406, 9706), List(2958, 3982), List(845, 5947), List(5245, 7243), List(1195, 6703), List(4839, 6555), List(723, 9899), List(3684, 7469), List(2898, 3150), List(3495, 10953), List(5202, 7546), List(6795, 10241), List(1250, 4131), List(3357, 3849), List(7118, 8450), List(177, 3165), List(6195, 9687), List(6995, 9548), List(5193, 6679), List(6862, 7706), List(525, 3848), List(5347, 10529), List(827, 9848), List(82, 9694), List(6522, 11021), List(6778, 8732), List(3170, 4373), List(424, 6425), List(1885, 6749), List(2669, 6831), List(4099, 5590), List(10069, 10186), List(6333, 11499), List(705, 5886), List(7212, 8435), List(2215, 5348), List(7051, 10961), List(1155, 6122), List(3961, 8285), List(3006, 6601), List(845, 5142), List(5392, 9898), List(4559, 9897), List(1593, 9731), List(1782, 5466), List(784, 7118), List(3363, 4394), List(7041, 9492), List(1028, 1062), List(1662, 10999), List(8227, 10520), List(3301, 6899), List(3115, 3511), List(1036, 10722), List(3540, 9167), List(2136, 2961), List(5251, 6633), List(7028, 11135), List(278, 2412), List(2040, 5882), List(1761, 6467), List(3884, 5944), List(1195, 1360), List(5100, 9847), List(6937, 8738), List(6562, 6609), List(4499, 7937), List(10482, 11240), List(5646, 6381), List(1766, 4532), List(4159, 11252), List(3973, 5612), List(549, 4568), List(7240, 9678), List(908, 4686), List(1104, 2346), List(1534, 8346), List(3808, 7238), List(3283, 4384), List(4936, 11294), List(5368, 10951), List(4637, 10503), List(3398, 9060), List(7202, 10325), List(3955, 9917), List(2902, 4692), List(5605, 10140), List(2563, 5226), List(1338, 7653), List(6110, 11561), List(6982, 11490), List(1629, 7802), List(4425, 9277), List(906, 10625), List(931, 5959), List(9895, 11271), List(143, 8387), List(7090, 11208), List(4382, 9580), List(3881, 5622), List(729, 2068), List(5126, 10263), List(9207, 10116), List(2127, 7705), List(7892, 9617), List(6030, 8949), List(5933, 9016), List(195, 4763), List(8257, 11435), List(4623, 8861), List(3527, 6972), List(3057, 10995), List(1973, 10621), List(2573, 8142), List(7669, 8232), List(4995, 7686), List(4608, 10458), List(1220, 4907), List(5175, 10505), List(6348, 9416), List(154, 5112), List(152, 8449), List(224, 10769), List(6698, 10926), List(4511, 8246), List(4695, 10053), List(5409, 9396), List(4109, 9929), List(6101, 9889), List(4324, 5387), List(1333, 6854), List(2109, 2157), List(3413, 8913), List(1730, 9708), List(3502, 8204), List(1012, 7213), List(1413, 8311), List(4936, 9334), List(788, 8259), List(917, 3943), List(6668, 7677), List(228, 9733), List(2690, 8676), List(3645, 3944), List(8355, 10384), List(1564, 8076), List(944, 9122), List(1873, 9585), List(1159, 3826), List(746, 1967), List(2893, 5248), List(8620, 10840), List(1709, 2014), List(6189, 7800), List(2616, 10043), List(1955, 10334), List(6900, 10255), List(592, 11299), List(3070, 3605), List(3853, 4997), List(7837, 11333), List(6302, 8616), List(5629, 10028), List(5720, 9392), List(4309, 8431), List(4844, 5557), List(1487, 5735), List(2357, 9001), List(115, 8866), List(4370, 9838), List(13, 10087), List(6050, 7991), List(1881, 6039), List(6105, 8452), List(7662, 8484), List(3221, 8288), List(937, 7927), List(1307, 2542), List(842, 10319), List(2558, 8883), List(5112, 10044), List(6659, 9388), List(9398, 11083), List(5786, 9988), List(5559, 10763), List(7274, 7971), List(586, 6542), List(9452, 11319), List(825, 2394), List(582, 9806), List(3013, 6430), List(2624, 2713), List(1854, 6444), List(8977, 11211), List(2661, 5224), List(75, 1115), List(6344, 10666), List(763, 4899), List(947, 1044), List(2662, 8832), List(3567, 4737), List(3928, 7934), List(3685, 8930), List(3965, 11199), List(228, 4740), List(6138, 9285), List(5234, 8320), List(5517, 10106), List(8688, 11458), List(2967, 9818), List(911, 1737), List(308, 9580), List(5858, 7366), List(2393, 5567), List(5450, 5851), List(6602, 8049), List(984, 2400), List(9397, 10053), List(2979, 6795), List(1826, 4372), List(9136, 11217), List(263, 6023), List(176, 362), List(4902, 8089), List(883, 2698), List(4907, 8433), List(1282, 2215), List(5614, 10015), List(1474, 2385), List(7908, 10313), List(12, 2590), List(5944, 9368), List(4209, 9973), List(1186, 9273), List(1401, 10393), List(345, 2241), List(2734, 11471), List(2555, 10008), List(1681, 7000), List(5607, 9194), List(430, 10458), List(6846, 10637), List(9679, 11213), List(2919, 10470), List(273, 3304), List(1515, 5018), List(6308, 6797), List(2607, 7165), List(2135, 7355), List(7238, 10868), List(7430, 11038), List(391, 10880), List(10938, 11029), List(4553, 9409), List(260, 5701), List(4124, 7017), List(5402, 8388), List(1572, 5902), List(2258, 2443), List(5802, 9261), List(2723, 4465), List(1506, 10917), List(787, 4814), List(2803, 9332), List(279, 6101), List(9339, 11121), List(318, 5275), List(3404, 10461), List(7059, 7496), List(586, 10193), List(4271, 10046), List(9180, 10310), List(1828, 8874), List(1986, 9460), List(88, 2719), List(8116, 10561), List(3443, 6632), List(3164, 7217), List(1491, 2284), List(8667, 10849), List(19, 8217), List(4098, 11407), List(2880, 4425), List(502, 10845), List(1166, 3655), List(6742, 9078), List(2874, 10272), List(4393, 10574), List(3241, 4589), List(5171, 7835), List(312, 7688), List(4362, 5976), List(2925, 10210), List(6996, 9375), List(560, 10419), List(8810, 10726), List(5880, 6053), List(3767, 7264), List(5666, 11197), List(2741, 11032), List(150, 5825), List(9583, 9895), List(1682, 8244), List(5717, 7752), List(2942, 4148), List(4168, 5329), List(2941, 4677), List(10670, 10917), List(543, 2494), List(5985, 9637), List(4281, 5391), List(2280, 8351), List(2221, 11154), List(2756, 8280), List(6087, 6881), List(6149, 7759), List(9200, 9726), List(514, 10774), List(1653, 2187), List(1307, 1550), List(6697, 7749), List(6511, 11531), List(7595, 9653), List(1769, 9717), List(2235, 8958), List(6655, 8277), List(2458, 4277), List(1057, 10420), List(2390, 9246), List(3608, 5648), List(2419, 7732), List(7398, 8735), List(7458, 9540), List(25, 3793), List(10345, 11133), List(7243, 8797), List(5581, 10469), List(2224, 4231), List(4534, 9196), List(9666, 11195), List(827, 4831), List(6825, 9223), List(6644, 6933), List(6750, 7359), List(2899, 10412), List(3210, 7830), List(533, 1351), List(1525, 6300), List(3419, 11387), List(0, 4271), List(1830, 10319), List(4383, 7872), List(1370, 7860), List(2265, 3077), List(2614, 3985), List(2672, 7373), List(4327, 4530), List(2812, 6629), List(978, 1593), List(2002, 10961), List(1945, 10427), List(1849, 4303), List(8815, 11338), List(1607, 7399), List(660, 5606), List(1341, 1803), List(4081, 10516), List(1813, 4242), List(5168, 8155), List(4705, 6179), List(987, 11104), List(6138, 10871), List(4861, 6692), List(1108, 6146), List(7995, 8162), List(2792, 8205), List(6097, 7837), List(6990, 8643), List(622, 9636), List(6215, 9778), List(5783, 10121), List(7956, 8207), List(6153, 8900), List(492, 895), List(9204, 10867), List(7014, 10168), List(3028, 6388), List(1622, 10689), List(3473, 4752), List(3311, 6676), List(5459, 11313), List(1278, 3682), List(2590, 7293), List(842, 3529), List(3992, 6256), List(2891, 11193), List(8847, 9667), List(4236, 6616), List(4573, 6009), List(5849, 9963), List(1856, 6547), List(6031, 9445), List(1857, 2985), List(743, 6906), List(645, 3365), List(303, 3601), List(514, 3821), List(6336, 10431), List(878, 9201), List(2975, 6703), List(1626, 6620), List(6106, 6744), List(3963, 9998), List(267, 10710), List(6162, 7807), List(7168, 10180), List(2459, 6594), List(3613, 9619), List(683, 4946), List(10209, 11459), List(6383, 9846), List(2670, 7945), List(1304, 5229), List(6971, 10016), List(7148, 11406), List(3662, 8730), List(4606, 10979), List(2602, 3088), List(3668, 10430), List(1397, 4639), List(9387, 11243), List(1944, 4808), List(3131, 6061), List(7609, 9522), List(2814, 3910), List(5432, 6776), List(542, 5064), List(578, 4721), List(676, 1092), List(7795, 9123), List(916, 11132), List(4685, 9178), List(8878, 9272), List(3711, 8972), List(1968, 3300), List(789, 1908), List(5212, 11324), List(1415, 4814), List(2502, 8869), List(7848, 9134), List(8316, 11454), List(3240, 6354), List(4422, 7263), List(308, 5018), List(6200, 6705), List(1490, 9310), List(3567, 5436), List(2828, 8480), List(3548, 11021), List(2478, 10353), List(1826, 6226), List(5542, 7644), List(2892, 9404), List(6469, 7280), List(9707, 9854), List(1020, 8048), List(868, 9906), List(426, 9561), List(555, 5245), List(5928, 10339), List(3249, 9449), List(1019, 3659), List(9973, 10535), List(2034, 6148), List(3506, 7762), List(2011, 2192), List(1042, 2330), List(8875, 8950), List(2127, 3306), List(5736, 10519), List(3962, 5534), List(2994, 8526), List(3123, 4210), List(2676, 3521), List(2896, 5739), List(4360, 5580), List(4019, 9451), List(3706, 4790), List(2097, 3814), List(2310, 11277), List(3802, 4498), List(10271, 10727), List(2859, 5857), List(3552, 10739), List(4076, 9204), List(2013, 4116), List(280, 5548), List(1856, 10548), List(9739, 10839), List(1272, 10497), List(2982, 7361), List(4992, 8681), List(513, 8001), List(2328, 6571), List(3264, 4041), List(3759, 10436), List(1261, 5420), List(946, 10512), List(137, 8653), List(9092, 9715), List(2479, 10123), List(1732, 8388), List(5770, 11577), List(111, 10815), List(10911, 11410), List(2783, 10534), List(10429, 10912), List(5766, 7671), List(5640, 9252), List(3804, 9805), List(8692, 9192), List(7348, 9453), List(2556, 10528), List(3433, 10801), List(2683, 10303), List(7402, 9689), List(189, 6160), List(8153, 11543), List(741, 6673), List(3106, 11345), List(4751, 7814), List(2829, 6341), List(2206, 7116), List(1580, 4210), List(1337, 4452), List(5062, 5232), List(216, 7202), List(3377, 3702), List(3998, 6264), List(452, 3537), List(9455, 10275), List(770, 2126), List(1052, 1058), List(1978, 4256), List(1795, 5303), List(4723, 9149), List(2066, 3322), List(5830, 7440), List(6525, 6733), List(7519, 8345), List(1473, 6191), List(237, 8429), List(3176, 6048), List(9913, 11503), List(5054, 9104), List(10525, 10569), List(1965, 10036), List(3210, 8261), List(2284, 11479), List(8743, 10604), List(3323, 5694), List(1153, 7125), List(9654, 10461), List(802, 6144), List(0, 4702), List(2305, 2907), List(935, 9117), List(6837, 7385), List(5751, 8436), List(4510, 10330), List(864, 10405), List(1800, 7875), List(8088, 9562), List(545, 5175), List(1510, 7547), List(1742, 7116), List(2012, 2281), List(2967, 4719), List(852, 5857), List(4401, 5849), List(6680, 9249), List(3901, 11161), List(3927, 10130), List(2817, 10787), List(7294, 11394), List(1132, 11509), List(4924, 11259), List(10989, 11211), List(598, 2153), List(1530, 9303), List(7247, 7791), List(2023, 6203), List(9275, 9660), List(2836, 11187), List(1621, 5634), List(115, 2157), List(92, 453), List(4192, 4520), List(9582, 11473), List(1664, 7963), List(5194, 10157), List(3626, 9212), List(3383, 5290), List(1408, 6465), List(4815, 10511), List(4466, 10357), List(6236, 11436), List(8500, 9640), List(9620, 9671), List(5366, 11553), List(313, 987), List(311, 10740), List(1505, 6748), List(8499, 9415), List(223, 8641), List(127, 2517), List(1058, 6059), List(3337, 5295), List(9283, 9497), List(1279, 11131), List(1566, 10407), List(7533, 9070), List(35, 2928), List(2839, 11434), List(4601, 8488), List(2607, 5449), List(6543, 8331), List(342, 9272), List(3206, 9915), List(7440, 10010), List(4699, 5990), List(9831, 10241), List(8989, 9400), List(2666, 9412), List(8643, 8763), List(207, 3570), List(730, 5597), List(5938, 6652), List(87, 9103), List(2465, 8375), List(5441, 9229), List(4557, 5533), List(1071, 2857), List(1048, 7569), List(3593, 6015), List(5047, 5168), List(793, 7050), List(252, 2939), List(6162, 8238), List(4981, 10183), List(783, 3329), List(6611, 8973), List(560, 6475), List(6069, 8424), List(3206, 5727), List(2461, 4819), List(2063, 10408), List(4701, 4881), List(5074, 9593), List(2204, 9135), List(2276, 11455), List(5013, 9317), List(1157, 7862), List(492, 9165), List(6120, 8362), List(808, 11091), List(9116, 10622), List(7361, 9851), List(3352, 5148), List(10194, 10427), List(4308, 10440), List(5058, 8686), List(4402, 9321), List(1720, 2498), List(4226, 11539), List(7232, 10380), List(1757, 5763), List(580, 5198), List(6273, 11206), List(3957, 6426), List(5483, 7145), List(2491, 5758), List(823, 7585), List(1408, 8238), List(11272, 11363), List(2707, 4070), List(2079, 10136), List(6850, 8184), List(9902, 10376), List(2560, 10409), List(9771, 10859), List(6003, 9251), List(6445, 10350), List(7066, 8748), List(5323, 9492), List(1714, 3033), List(2305, 2720), List(1403, 4080), List(400, 5388), List(4565, 9850), List(3049, 3403), List(8929, 9991), List(2816, 10779), List(1443, 6138), List(2795, 9902), List(116, 2596), List(603, 2714), List(544, 5517), List(3224, 5097), List(157, 1092), List(1466, 4028), List(2904, 6812), List(7945, 8693), List(2277, 10097), List(5916, 9605), List(7015, 8759), List(1124, 4264), List(5010, 7059), List(8093, 8564), List(223, 6226), List(4700, 6079), List(3547, 4410), List(2247, 11359), List(3856, 5165), List(3487, 9240), List(2300, 7987), List(837, 11000), List(1804, 4373), List(5102, 6998), List(3944, 10647), List(2449, 5077), List(1573, 4625), List(4487, 10293), List(2649, 7767), List(106, 4486), List(6924, 10869), List(5895, 10956), List(1308, 6047), List(3838, 9066), List(11019, 11559), List(3555, 10663), List(9209, 11081), List(7691, 10223), List(8806, 9910), List(2278, 6484), List(10917, 11282), List(2825, 6653), List(903, 5180), List(7530, 8585), List(2728, 6720), List(1179, 10713), List(2338, 9918), List(4974, 9980), List(7591, 9992), List(53, 5949), List(6747, 9078), List(4685, 6844), List(4618, 5622), List(4683, 10181), List(1670, 10169), List(1197, 7505), List(5773, 11501), List(3689, 5536), List(1815, 9769), List(9196, 9664), List(6582, 6917), List(1666, 9646), List(780, 5123), List(353, 9974), List(2722, 5720), List(812, 1628), List(414, 7217), List(944, 3999), List(4243, 9478), List(1894, 8722), List(966, 8861), List(4727, 9298), List(4577, 5567), List(5410, 6322), List(4131, 5480), List(4354, 7215), List(3542, 5085), List(5524, 6609), List(1300, 4950), List(355, 5482), List(2414, 6664), List(4038, 8672), List(728, 7942), List(5991, 8704), List(8668, 9521), List(258, 5549), List(5280, 7380), List(2968, 8004), List(3377, 6711), List(5769, 10577), List(4834, 9545), List(4583, 5762), List(8230, 9295), List(5766, 9525), List(733, 5253), List(2030, 6674), List(3238, 6552), List(903, 9636), List(3189, 10043), List(2623, 7188), List(3497, 7944), List(3681, 10505), List(446, 5196), List(369, 3286), List(4491, 9556), List(1965, 9662), List(3871, 9848), List(6421, 8638), List(4637, 9381), List(4912, 11306), List(1938, 10468), List(1837, 4000), List(4257, 6127), List(1278, 5699), List(1770, 5407), List(3948, 8755), List(3382, 5900), List(4720, 11486), List(4255, 8683), List(2166, 2374), List(7403, 9085), List(478, 3579), List(3134, 9181), List(1207, 3954), List(5247, 7216), List(9111, 9286), List(2821, 4520), List(300, 4970), List(21, 5555), List(1268, 11023), List(2137, 7271), List(2701, 9299), List(1944, 7630), List(4337, 7934), List(887, 11331), List(9531, 10811), List(1868, 2158), List(7736, 11365), List(8814, 11170), List(2871, 4233), List(789, 1347), List(2535, 4284), List(379, 9585), List(5037, 6066), List(4388, 7872), List(1936, 9617), List(8009, 9430), List(2376, 3473), List(180, 5211), List(9961, 10745), List(3612, 4618), List(709, 1768), List(2018, 8868), List(2104, 3724), List(1209, 6255), List(5094, 9202), List(3790, 6610), List(1856, 4376), List(4692, 8633), List(2355, 4474), List(2222, 4884), List(6246, 8367), List(2533, 6466), List(5060, 9968), List(2417, 8735), List(793, 1065), List(1971, 4484), List(1807, 9745), List(7667, 8511), List(6323, 9526), List(2154, 6820), List(9437, 9590), List(7353, 10041), List(2558, 5183), List(4022, 5024), List(7320, 7649), List(7352, 10570), List(561, 8262), List(4143, 6482), List(2961, 5573), List(1422, 9530), List(333, 5402), List(6563, 9363), List(3113, 6344), List(1394, 8236), List(5967, 7797), List(3634, 5292), List(6164, 8311), List(2761, 8144), List(2945, 7699), List(4746, 11097), List(2624, 8812), List(2909, 5009), List(6300, 10831), List(8074, 9400), List(9727, 9894), List(8173, 9379), List(6796, 11412), List(6108, 7628), List(287, 8036), List(4528, 10056), List(7819, 11510), List(3953, 9367), List(694, 10080), List(9252, 9786), List(1411, 8940), List(819, 4864), List(3921, 9829), List(7374, 10113), List(5266, 6006), List(813, 10711), List(2962, 9157), List(1332, 2416), List(347, 8437), List(2799, 10856), List(3485, 7397), List(2143, 9239), List(3012, 5487), List(5849, 9215), List(8648, 10961), List(8922, 10032), List(6193, 9779), List(9393, 9617), List(5009, 5791), List(9169, 9909), List(1077, 5280), List(2171, 4090), List(2319, 3988), List(3225, 9917), List(2855, 3968), List(5279, 6591), List(4959, 11339), List(1851, 11467), List(7269, 9888), List(113, 9145), List(2842, 9398), List(46, 753), List(7415, 9713), List(223, 6307), List(753, 3089), List(5212, 7998), List(1655, 11528), List(3116, 5436), List(4239, 11400), List(5925, 7870), List(536, 7935), List(6009, 6063), List(1377, 2135), List(8715, 11028), List(3180, 6360), List(348, 2222), List(1740, 6913), List(2893, 5549), List(9279, 10777), List(10495, 10516), List(2928, 7987), List(3953, 8912), List(7924, 10125), List(3760, 8517), List(2385, 10219), List(293, 10809), List(9236, 10326), List(2323, 7089), List(5990, 11274), List(1410, 3372), List(385, 10748), List(789, 4193), List(2315, 2660), List(4651, 9600), List(3648, 10154), List(6297, 8923), List(7355, 11486), List(191, 302), List(251, 353), List(6541, 9283), List(7036, 9262), List(2347, 11216), List(2003, 11406), List(1148, 8448), List(7898, 8503), List(217, 4906), List(1966, 11524), List(6264, 9914), List(3358, 9799), List(3523, 5140), List(1553, 3249), List(5539, 10412), List(4104, 4893), List(1958, 10882), List(2304, 5103), List(1891, 2490), List(1920, 8146), List(5996, 6901), List(4005, 4133), List(1742, 8783), List(8172, 9422), List(7494, 10490), List(5061, 6623), List(8268, 9884), List(4340, 10273), List(8116, 10244), List(714, 5308), List(6335, 10504), List(8140, 8386), List(7923, 9849), List(1114, 6181), List(39, 5169), List(6983, 8473), List(6546, 8472), List(3529, 4554), List(480, 2633), List(3465, 7013), List(1, 5816), List(4775, 10551), List(2627, 2881), List(3308, 6248), List(6298, 10972), List(288, 9229), List(3514, 10288), List(3420, 9872), List(6446, 7837), List(7282, 8109), List(3641, 8528), List(3226, 10006), List(6958, 9705), List(8021, 8448), List(1354, 8650), List(3728, 4740), List(2504, 10021), List(8264, 11589), List(2015, 7578), List(3312, 8245), List(5676, 7811), List(8175, 9265), List(1543, 11151), List(3812, 9699), List(6768, 9177), List(8046, 10548), List(5448, 8334), List(7077, 10686), List(1378, 6361), List(1003, 4232), List(4389, 5546), List(4671, 8642), List(5786, 8329), List(2176, 10313), List(3800, 11567), List(469, 4298), List(5474, 6522), List(195, 5227), List(1681, 7301), List(535, 1885), List(246, 8198), List(3042, 3257), List(4514, 7877), List(376, 7490), List(4908, 11214), List(2740, 2892), List(4369, 4520), List(1801, 8534), List(863, 10237), List(8204, 10733), List(1583, 6362), List(420, 9667), List(2627, 7337), List(9344, 11416), List(1940, 10571), List(7313, 9249), List(2490, 8005), List(5824, 6877), List(3590, 10767), List(2494, 8878), List(2026, 2394), List(226, 2604), List(2746, 9099), List(1748, 10751), List(4174, 7031), List(6600, 10481), List(687, 4884), List(3290, 8970), List(7366, 8479), List(812, 10248), List(8807, 10780), List(9244, 11535), List(4655, 5799), List(2037, 6316), List(5522, 8767), List(6464, 10189), List(3255, 10265), List(8348, 8926), List(2133, 3745), List(4048, 7457), List(3154, 7180), List(5798, 11267), List(1247, 1851), List(1470, 10756), List(3836, 6985), List(2742, 11558), List(9094, 10032), List(1465, 6625), List(2580, 6312), List(209, 3323), List(10026, 10766), List(9235, 9513), List(8276, 10339), List(7505, 11216), List(4379, 6631), List(3257, 5773), List(5956, 8069), List(2012, 3761), List(2941, 11394), List(145, 9165), List(5268, 6914), List(319, 8005), List(2502, 6779), List(7271, 11170), List(811, 1297), List(1187, 10444), List(9284, 9755), List(1120, 2806), List(2069, 11061), List(2160, 11179), List(10028, 10438), List(4302, 7700), List(8166, 9770), List(1404, 5948), List(3465, 3793), List(4733, 10138), List(4709, 5580), List(8778, 10334), List(621, 4556), List(7069, 10662), List(5172, 10939), List(4662, 8393), List(1203, 10546), List(3718, 3865), List(5161, 9245), List(3757, 9455), List(1541, 10541), List(5374, 10292), List(9660, 10577), List(5186, 10995), List(4219, 11206), List(637, 8822), List(291, 8185), List(8243, 10525), List(6213, 7829), List(9754, 10212), List(7264, 9975), List(2068, 4019), List(3434, 7489), List(1352, 11019), List(4862, 5421), List(5804, 6089), List(2280, 7847), List(167, 2642), List(1694, 4717), List(5861, 10006), List(5859, 9933), List(2657, 11180), List(103, 8484), List(561, 3700), List(2272, 9834), List(4481, 8331), List(899, 3695), List(441, 2063), List(2617, 11000), List(5998, 8964), List(5535, 7742), List(3086, 9758), List(4471, 11026), List(1962, 5821), List(4071, 7120), List(4320, 7824), List(5440, 7855), List(8363, 11357), List(4187, 8234), List(10061, 10870), List(208, 5625), List(2746, 8562), List(1041, 9009), List(2519, 6304), List(3678, 6263), List(4108, 11509), List(2862, 6643), List(7066, 11033), List(499, 2017), List(4705, 6480), List(7253, 10859), List(18, 5127), List(5136, 8918), List(5633, 9724), List(8367, 11075), List(4938, 8933), List(4222, 9517), List(1520, 11087), List(3423, 5340), List(89, 806), List(2327, 3451), List(2294, 7475), List(112, 7391), List(19, 4948), List(2319, 9225), List(8769, 11240), List(7668, 9007), List(2938, 4544), List(4092, 4159), List(7631, 9879), List(4470, 6963), List(2662, 3148), List(6864, 10875), List(7136, 9119), List(2318, 8973), List(4424, 10001), List(6886, 8190), List(1903, 9697), List(7419, 8653), List(5568, 8174), List(4590, 11202), List(2586, 7475), List(2374, 9282), List(6380, 10304), List(7601, 10387), List(5758, 7517), List(2520, 2691), List(11454, 11544), List(163, 7679), List(2245, 4149), List(216, 10723), List(5935, 10038), List(6628, 10002), List(4441, 7322), List(50, 2325), List(669, 8224), List(1264, 6155), List(4903, 4909), List(7275, 10752), List(4935, 7830), List(1201, 11468), List(1392, 8784), List(3443, 5941), List(516, 11365), List(6232, 6245), List(4373, 9258), List(1350, 8558), List(2185, 2189), List(3345, 11418), List(164, 7126), List(4106, 10607), List(97, 5904), List(5823, 7888), List(5107, 8472), List(3842, 5808), List(3959, 6393), List(1960, 3010), List(8367, 9115), List(1252, 8373), List(3240, 10843), List(6722, 9613), List(19, 2988), List(1085, 6166), List(2647, 7296), List(8211, 8952), List(2638, 3046), List(2426, 4853), List(2109, 9118), List(5497, 9007), List(3043, 10679), List(1449, 10765), List(5778, 7714), List(7980, 11456), List(2352, 10007), List(6397, 10203), List(2228, 8251), List(543, 8219), List(2105, 9349), List(2229, 4689), List(3277, 9570), List(2432, 5048), List(2476, 10982), List(6022, 7293), List(8697, 11447), List(6145, 9578), List(6262, 10917), List(10343, 10770), List(35, 10637), List(4386, 5655), List(2419, 6691), List(533, 1465), List(8748, 10631), List(6566, 8295), List(7622, 10785), List(2644, 8472), List(9922, 10898), List(2539, 4514), List(837, 5259), List(2444, 5408), List(8080, 10882), List(2268, 3462), List(1638, 7230), List(1330, 2159), List(1696, 6454), List(11480, 11505), List(10069, 10544), List(4379, 8217), List(2287, 4643), List(7087, 9845), List(8379, 8670), List(2310, 4812), List(2315, 2904), List(3619, 5496), List(1468, 4725), List(4582, 4789), List(6223, 10184), List(6660, 6775), List(7544, 8219), List(8965, 11396), List(462, 4981), List(2154, 11065), List(6659, 9933), List(10026, 11197), List(1268, 9925), List(10328, 10781), List(2945, 8561), List(926, 10161), List(5835, 10425), List(1645, 9094), List(3324, 10809), List(7216, 8511), List(2015, 2211), List(1755, 7010), List(691, 3878), List(3313, 4234), List(169, 11121), List(3187, 5815), List(9035, 9482), List(3488, 8961), List(4716, 10215), List(5303, 9783), List(5148, 5708), List(882, 10239), List(323, 2139), List(158, 382), List(2439, 6861), List(3315, 4280), List(3557, 10229), List(6234, 10292), List(2055, 3488), List(1310, 2580), List(2405, 10660), List(4399, 11447), List(3267, 3485), List(8868, 10658), List(3235, 4701), List(1715, 7180), List(1082, 3103), List(154, 9658), List(6183, 9199), List(646, 10120), List(4156, 10938), List(4006, 7207), List(9515, 11408), List(7089, 8712), List(1421, 10116), List(1641, 8170), List(2105, 6584), List(7767, 11027), List(5967, 11237), List(979, 5984), List(4960, 8639), List(8707, 9370), List(4929, 7074), List(5831, 9097), List(6417, 8440), List(5090, 11314), List(413, 3479), List(4736, 10035), List(1832, 3577), List(1154, 4645), List(806, 3181), List(1800, 11209), List(4164, 6611), List(5998, 9395), List(2235, 8885), List(927, 4639), List(92, 7975), List(1585, 10466), List(3321, 6299), List(1829, 6662), List(3293, 10667), List(1509, 11410), List(4380, 8306), List(6312, 8215), List(3540, 4882), List(268, 10271), List(2560, 6359), List(8441, 10166), List(502, 5779), List(314, 6482), List(5612, 8928), List(5825, 9975), List(572, 3485), List(2585, 10738), List(7685, 8318), List(7659, 9349), List(3485, 6299), List(1599, 7489), List(592, 11307), List(1552, 6919), List(748, 5404), List(1617, 5816), List(5935, 11274), List(10953, 11451), List(521, 9562), List(10987, 11035), List(1646, 9937), List(4918, 11341), List(6273, 9734), List(2355, 11565), List(4910, 10699), List(579, 3501), List(2225, 2824), List(3092, 8825), List(9198, 11030), List(4721, 11177), List(1794, 10185), List(7227, 8914), List(1251, 6001), List(162, 1119), List(2806, 5960), List(3052, 9399), List(970, 3507), List(4058, 5356), List(1718, 8096), List(2804, 2881), List(5257, 9652), List(7590, 9905), List(1501, 3897), List(1284, 5360), List(592, 10502), List(876, 3845), List(181, 2300), List(1407, 3481), List(2262, 7967), List(6938, 9161), List(3302, 9924), List(1652, 6695), List(1960, 11012), List(745, 1295), List(244, 10169), List(430, 2977), List(2952, 5381), List(1204, 5781), List(7993, 8016), List(243, 10698), List(854, 8408), List(632, 3111), List(4315, 6301), List(3465, 10103), List(2167, 11463), List(6107, 11111), List(295, 3691), List(2626, 9533), List(610, 8398), List(5610, 8026), List(2061, 10663), List(7591, 9325), List(3895, 9283), List(339, 5868), List(6295, 11512), List(1832, 4195), List(2117, 7562), List(6260, 8293), List(4978, 10186), List(5671, 7898), List(5633, 11578), List(1583, 6874), List(2980, 9657), List(3608, 9226), List(6254, 7724), List(6880, 11384), List(1641, 4600), List(5104, 9736), List(4109, 10905), List(617, 7660), List(1135, 2927), List(6427, 8591), List(3939, 9181), List(5840, 9777), List(1351, 7655), List(5771, 6974), List(6557, 7883), List(826, 5555), List(3312, 8302), List(7768, 8032), List(2467, 10950), List(297, 5211), List(230, 3989), List(3869, 6907), List(1854, 5997), List(1220, 1695), List(1404, 2004), List(2651, 3308), List(6350, 7031), List(1367, 8538), List(5510, 9269), List(1936, 4494), List(2863, 11300), List(812, 7727), List(8191, 10205), List(8905, 9548), List(10584, 11263), List(2401, 6516), List(3485, 3884), List(379, 7845), List(1238, 3405), List(683, 1840), List(6746, 7381), List(4605, 7298), List(1799, 5135), List(398, 9026), List(7374, 10333), List(640, 8559), List(6529, 6565), List(4617, 7308), List(2998, 6398), List(3414, 5522), List(575, 7383), List(690, 11305), List(1595, 3046), List(6051, 9192), List(2004, 8169), List(3683, 9884), List(1068, 4283), List(2845, 6533), List(2525, 7117), List(5458, 11307), List(7723, 10867), List(7633, 7941), List(5167, 11508), List(6106, 9249), List(991, 8385), List(1372, 11460), List(118, 2569), List(2268, 6121), List(1019, 3236), List(2545, 8119), List(547, 4180), List(1079, 11588), List(8866, 11417), List(3756, 5235), List(1409, 6804), List(3721, 8432), List(6986, 8665), List(1793, 7144), List(783, 7281), List(7102, 9779), List(7265, 11463), List(1107, 2652), List(3806, 11364), List(2367, 8355), List(5693, 7366), List(407, 4900), List(5790, 10682), List(3365, 10840), List(3888, 5697), List(5044, 6139), List(61, 7646), List(2473, 5748), List(2629, 6261), List(6406, 9086), List(4591, 7510), List(2411, 8253), List(1382, 3422), List(3839, 6185), List(1346, 1513), List(3092, 10866), List(1257, 2195), List(2370, 5219), List(231, 5209), List(2185, 2433), List(6260, 11139), List(195, 2519), List(5324, 7253), List(5575, 11036), List(819, 5352), List(3587, 11195), List(6008, 7885), List(4368, 5344), List(309, 9222), List(2864, 8356), List(4861, 8660), List(6225, 9051), List(7376, 8395), List(549, 6430), List(8300, 10766), List(5037, 8327), List(1487, 10362), List(2488, 5975), List(3014, 5267), List(988, 3444), List(7106, 8692), List(2311, 3834), List(1440, 6759), List(4867, 5822), List(104, 5383), List(319, 7257), List(3596, 4841), List(7538, 8322), List(1405, 11087), List(5918, 7187), List(559, 2930), List(3800, 5021), List(5381, 10365), List(1581, 9219), List(1119, 10851), List(3359, 8661), List(6553, 10936), List(1417, 11447), List(1544, 7058), List(267, 2879), List(1505, 4097), List(4901, 10263), List(285, 6868), List(825, 4338), List(5274, 9313), List(8008, 9910), List(1974, 2855), List(4271, 9867), List(287, 6914), List(1089, 1940), List(306, 4712), List(5675, 6624), List(30, 9732), List(2055, 7920), List(1148, 8936), List(6031, 7225), List(8410, 10829), List(960, 8885), List(740, 4415), List(3024, 4749), List(1085, 7833), List(2026, 5647), List(2702, 8670), List(3792, 9990), List(244, 10600), List(4903, 5771), List(1386, 1530), List(1482, 8408), List(763, 2305), List(4412, 6665), List(9577, 10302), List(1976, 8943), List(164, 1222), List(5123, 11372), List(5494, 7343), List(3040, 8261), List(1344, 4687), List(1318, 3466), List(5702, 7292), List(2909, 9498), List(266, 8265), List(2284, 9446), List(190, 2793), List(10067, 10287), List(1590, 5093), List(3744, 3883), List(1627, 8358), List(787, 10596), List(5758, 7574), List(1188, 5278), List(718, 8547), List(6470, 10254), List(3576, 5238), List(778, 6346), List(10292, 11344), List(3454, 9190), List(1393, 4929), List(9235, 9383), List(3263, 3960), List(3925, 8775), List(4006, 7451), List(4935, 10920), List(5405, 6897), List(8641, 8644), List(582, 6407), List(3546, 5746), List(5838, 5998), List(2983, 4320), List(3194, 10956), List(672, 2136), List(4317, 9006), List(4692, 8129), List(5595, 9623), List(2942, 7702), List(3568, 4192), List(1099, 4832), List(455, 6982), List(3839, 9381), List(9193, 9507), List(1973, 11223), List(1373, 3122), List(1154, 7922), List(256, 356), List(6446, 7170), List(3583, 4473), List(2989, 10150), List(4171, 11059), List(5819, 11209), List(9160, 10498), List(8716, 9326), List(3267, 9340), List(3538, 8113), List(2017, 3574), List(1619, 6911), List(10583, 11469), List(5313, 9536), List(5779, 11029), List(9552, 10729), List(3105, 8231), List(1854, 5273), List(10880, 11463), List(3010, 4961), List(5566, 6949), List(1952, 2775), List(5742, 8114), List(2502, 8877), List(697, 8743), List(1793, 1964), List(105, 4667), List(1251, 3667), List(2446, 9699), List(8475, 9240), List(7628, 11061), List(4178, 8042), List(2096, 5156), List(812, 10386), List(2874, 8833), List(1907, 5634), List(4137, 8391), List(935, 5474), List(4419, 5071), List(1337, 6420), List(530, 1224), List(810, 3493), List(4507, 10553), List(3044, 9402), List(2765, 9987), List(5191, 7021), List(9955, 10314), List(6987, 9321), List(9007, 11329), List(2976, 7955), List(6307, 7310), List(3498, 10511), List(3123, 4218), List(8446, 9949), List(5366, 8715), List(8703, 10514), List(4154, 9095), List(4806, 6806), List(7354, 11185), List(408, 4802), List(5074, 7560), List(623, 6676), List(8028, 10375), List(1343, 2801), List(5231, 9429), List(1279, 5260), List(692, 7944), List(5824, 9943), List(5941, 10528), List(2556, 8658), List(9467, 9570), List(2488, 7211), List(3825, 5779), List(5755, 11277), List(153, 4633), List(7840, 11428), List(2190, 3612), List(1329, 11389), List(6408, 9590), List(360, 11527), List(6249, 8779), List(4659, 6355), List(2756, 5686), List(1753, 6240), List(101, 7102), List(3251, 9829), List(9347, 10592), List(1131, 3453), List(3813, 4614), List(2753, 8798), List(3739, 6385), List(356, 4588), List(1404, 3053), List(5798, 7567), List(510, 10690), List(2895, 11133), List(384, 5855), List(2177, 2222), List(4642, 4846), List(9001, 10305), List(8624, 10355), List(2079, 11486), List(2860, 11297), List(279, 5280), List(6168, 8948), List(7221, 7757), List(3484, 5462), List(53, 8909), List(4129, 8418), List(5972, 8255), List(487, 9366), List(922, 2124), List(3170, 6211), List(5833, 8850), List(4502, 7818), List(6895, 8122), List(2993, 10486), List(4221, 5324), List(3873, 8024), List(628, 8443), List(4088, 5734), List(7606, 10577), List(9502, 10829), List(5331, 8050), List(123, 6995), List(3930, 7777), List(6602, 7496), List(5327, 10560), List(872, 8022), List(6572, 9539), List(4041, 8547), List(871, 8551), List(1993, 2239), List(217, 3597), List(1855, 2305), List(3201, 7752), List(21, 9320), List(6029, 7984), List(4909, 8707), List(733, 11246), List(6593, 10766), List(525, 4881), List(17, 5414), List(765, 7751), List(8674, 9263), List(6900, 8442), List(5773, 7240), List(1974, 6319), List(4274, 10596), List(7331, 10880), List(1657, 4922), List(1417, 8845), List(7296, 7661), List(73, 9860), List(4734, 5858), List(5587, 7989), List(566, 6760), List(822, 4471), List(3017, 11206), List(5458, 8518), List(928, 11313), List(9811, 10779), List(907, 10436), List(967, 4071), List(3587, 3600), List(3826, 10032), List(208, 1575), List(1525, 6284), List(2834, 8466), List(1954, 7895), List(8234, 11219), List(5758, 9160), List(796, 11544), List(6431, 7748), List(930, 1910), List(4159, 8902), List(3999, 10899), List(231, 9291), List(3309, 4036), List(1765, 8373), List(3286, 8748), List(10507, 10640), List(1445, 2541), List(5586, 6609), List(1608, 4225), List(7325, 9129), List(324, 3039), List(5673, 9237), List(3061, 3153), List(692, 991), List(2089, 3774), List(2534, 10806), List(3066, 7661), List(6822, 7754), List(13, 10502), List(1063, 3378), List(1224, 10651), List(2900, 5679), List(5425, 8354), List(8219, 9756), List(2429, 9477), List(254, 10564), List(3, 365), List(4509, 5874), List(1582, 4882), List(6227, 6763), List(2025, 8835), List(877, 6756), List(4662, 9499), List(128, 9112), List(5938, 10043), List(124, 5206), List(9645, 11375), List(5717, 8354), List(4538, 11126), List(1455, 3205), List(3591, 8579), List(47, 263), List(10134, 11539), List(5812, 8591), List(7083, 8037), List(2900, 7907), List(3240, 4565), List(4370, 9448), List(1187, 4329), List(815, 8887), List(3616, 7296), List(3083, 4581), List(1348, 5186), List(5044, 5228), List(2251, 6680), List(6045, 7257), List(2654, 11234), List(6104, 7837), List(5504, 9535), List(8121, 9547), List(4136, 9402), List(1113, 8702), List(992, 10627), List(6477, 10270), List(4472, 8570), List(8261, 8803), List(2411, 4309), List(699, 6618), List(4530, 6296), List(1302, 2158), List(9267, 11149), List(141, 11171), List(669, 11290), List(982, 6125), List(7704, 10548), List(3566, 10161), List(3277, 3642), List(4097, 9797), List(5083, 10794), List(5268, 9793), List(6732, 9634), List(4122, 4377), List(4922, 9156), List(3776, 7904), List(8447, 11006), List(2332, 5305), List(9367, 10225), List(1831, 7009), List(7197, 9404), List(3584, 4701), List(2121, 3550), List(4829, 10096), List(5235, 10784), List(2921, 8329), List(4724, 5384), List(1296, 6850), List(5287, 10193), List(6925, 9655), List(3979, 4449), List(651, 9529), List(1169, 11212), List(9429, 11453), List(6309, 10820), List(2311, 9689), List(2, 1162), List(2133, 11080), List(941, 8729), List(5398, 11313), List(8070, 11032), List(3676, 6518), List(5367, 9748), List(3454, 6856), List(2549, 8699), List(7010, 8773), List(6783, 9548), List(5253, 7175), List(9428, 10073), List(7439, 8132), List(2514, 8863), List(3794, 4645), List(1273, 10757), List(5523, 5723), List(2202, 5558), List(7212, 8126), List(5193, 6720), List(4154, 8371), List(4811, 6426), List(1948, 7139), List(1177, 8016), List(1015, 9186), List(3074, 11122), List(7864, 9220), List(5612, 7643), List(7052, 7090), List(944, 4812), List(1950, 7185), List(6015, 6535), List(7766, 9816), List(385, 4259), List(1073, 3879), List(5553, 7413), List(3547, 10029), List(3875, 9306), List(8352, 9159), List(8161, 10345), List(6359, 9728), List(380, 2380), List(2842, 5487), List(6293, 11360), List(1907, 10871), List(4641, 11468), List(2578, 6380), List(962, 9151), List(2799, 5790), List(5309, 6679), List(1334, 1560), List(991, 4604), List(2851, 5199), List(7121, 11367), List(8575, 10520), List(581, 8678), List(1949, 6559), List(1643, 3069), List(7279, 8543), List(1114, 2725), List(4844, 8013), List(6251, 11484), List(4436, 10662), List(2039, 6452), List(7543, 10309), List(927, 6282), List(9048, 10151), List(117, 815), List(3969, 5534), List(4557, 5704), List(4078, 5477), List(7042, 8980), List(657, 7360), List(1054, 4552), List(1103, 11584), List(2872, 9809), List(4455, 4646), List(3615, 6884), List(1960, 3311), List(4112, 7690), List(3701, 6658), List(406, 544), List(5261, 6207), List(1395, 4064), List(4010, 7413), List(7538, 9534), List(3362, 5657), List(10774, 11281), List(2147, 8772), List(10672, 11004), List(5151, 5288), List(7812, 11234), List(718, 11369), List(5653, 6438), List(390, 5676), List(8336, 9699), List(7455, 9684), List(3754, 5888), List(574, 10866), List(5343, 8841), List(5341, 8014), List(9257, 9520), List(3402, 4682), List(1099, 4271), List(890, 6349), List(5993, 9108), List(6537, 9760), List(4458, 10555), List(3687, 11432), List(3589, 7891), List(1101, 4317), List(2457, 6345), List(2964, 7839), List(2585, 11226), List(8091, 9494), List(185, 7499), List(1219, 2094), List(3552, 8763), List(2082, 4189), List(903, 6961), List(2800, 10067), List(1179, 6078), List(5473, 6978), List(1333, 9928), List(3826, 7430), List(7735, 8519), List(830, 10805), List(646, 8998), List(3473, 5622), List(711, 7141), List(2230, 6689), List(945, 2649), List(5313, 5942), List(9208, 9577), List(8945, 10695), List(196, 841), List(1478, 2331), List(2097, 10482), List(1058, 3465), List(4860, 10319), List(8354, 10604), List(6503, 10125), List(1897, 7418), List(386, 1315), List(752, 11272), List(2526, 3425), List(595, 11288), List(2312, 9323), List(2066, 5884), List(502, 2429), List(5226, 8575), List(7251, 10927), List(6716, 7385), List(819, 10215), List(5348, 10258), List(1120, 11109), List(2271, 6289), List(9399, 11400), List(4953, 6696), List(4330, 7471), List(2974, 4719), List(3548, 7435), List(8238, 8335), List(1509, 6905), List(2725, 6644), List(8619, 11410), List(1443, 2121), List(7402, 11446), List(668, 5508), List(4757, 9386), List(7916, 9223), List(7952, 8880), List(2936, 11001), List(6205, 8724), List(2342, 10262), List(2529, 3672), List(2437, 10499), List(1912, 7645), List(5823, 8807), List(1129, 11171), List(1502, 9467), List(4428, 10234), List(2203, 7070), List(4355, 11449), List(6036, 6821), List(7751, 10445), List(1242, 11233), List(2261, 4796), List(27, 7932), List(2446, 3795), List(1370, 9698), List(7779, 9460), List(5403, 6127), List(7710, 11575), List(2015, 4740), List(2016, 7594), List(6555, 9079), List(1911, 3636), List(7172, 7735), List(1172, 6680), List(2041, 2928), List(3508, 6450), List(6111, 8284), List(1567, 7209), List(569, 8107), List(1847, 3062), List(7550, 10512), List(602, 9718), List(1445, 11161), List(822, 5520), List(7503, 9942), List(1942, 5551), List(1529, 10108), List(1434, 3832), List(8192, 10918), List(3274, 6404), List(1152, 4119), List(9113, 9985), List(711, 10792), List(28, 936), List(5998, 9696), List(5626, 7838), List(6630, 10138), List(6491, 6596), List(8022, 8413), List(6207, 7591), List(1580, 4007), List(169, 9462), List(337, 11490), List(640, 9047), List(4664, 8366), List(5600, 5836), List(573, 1409), List(3718, 3792), List(2296, 9058), List(1890, 8370), List(2079, 11275), List(1019, 11295), List(456, 9869), List(384, 7522), List(4028, 11538), List(6201, 9624), List(5012, 5292), List(2245, 8719), List(9127, 10391), List(1404, 1687), List(5175, 6976), List(3016, 7842), List(261, 6368), List(4486, 9383), List(4732, 8658), List(7564, 10544), List(6222, 7468), List(281, 1358), List(1810, 5758), List(2668, 3345), List(7222, 10026), List(1360, 10433), List(5226, 6160), List(799, 5670), List(8641, 10124), List(771, 3622), List(1760, 11306), List(4341, 5245), List(2386, 7796), List(4790, 5980), List(2001, 11368), List(1784, 6415), List(6869, 8568), List(2230, 9885), List(2376, 9710), List(2911, 6836), List(1538, 6359), List(9323, 10279), List(2812, 10240), List(3268, 4629), List(6080, 10744), List(292, 7128), List(4077, 9871), List(7163, 8641), List(2715, 3110), List(6944, 10031), List(8654, 11059), List(2957, 9059), List(994, 8339), List(1990, 10024), List(1543, 2165), List(2045, 3315), List(1355, 2868), List(4567, 6473), List(394, 7031), List(1579, 8211), List(7207, 7408), List(7766, 9092), List(2580, 3824), List(5312, 10764), List(882, 3587), List(5250, 7634), List(52, 7267), List(6953, 9743), List(599, 7436), List(2660, 5281), List(321, 10875), List(1844, 5661), List(5646, 6853), List(792, 10460), List(1544, 6123), List(3280, 8372), List(3810, 5154), List(5642, 9363), List(565, 5573), List(3997, 7232), List(9095, 9647), List(9193, 10182), List(3555, 3881), List(7159, 10750), List(3934, 6129), List(1687, 4896), List(1382, 10676), List(852, 8232), List(7379, 11433), List(6135, 9646), List(7164, 8061), List(5564, 10611), List(3053, 5333), List(1861, 3736), List(563, 5096), List(4143, 6653), List(5853, 7681), List(4572, 6012), List(334, 8427), List(1943, 2233), List(3940, 8953), List(5779, 8671), List(4370, 8537), List(2190, 2864), List(5345, 5935), List(5529, 7742), List(2605, 11185), List(971, 2073), List(2066, 10153), List(5402, 9852), List(3029, 3784), List(1031, 5507), List(511, 7915), List(3310, 8907), List(7441, 8877), List(9614, 11127), List(4824, 6613), List(2499, 10385), List(4856, 11032), List(3682, 8486), List(2118, 10693), List(2519, 4621), List(7653, 9699), List(8711, 8852), List(4356, 9928), List(6729, 7328), List(5476, 7707), List(6658, 8616), List(2556, 3722), List(7910, 11018), List(1238, 10122), List(3354, 7674), List(2550, 10323), List(4128, 4816), List(7923, 8247), List(8050, 10274), List(3814, 6346), List(1885, 10872), List(6838, 10654), List(4123, 7855), List(5741, 11546), List(9574, 11297), List(1166, 1736), List(5966, 7692), List(7166, 8426), List(1724, 3168), List(1409, 8260), List(5351, 10987), List(977, 1433), List(1254, 4185), List(2429, 10339), List(1403, 9943), List(7913, 10511), List(800, 5708), List(8929, 9438), List(1954, 4569), List(1421, 1854), List(5873, 10510), List(54, 1165), List(7495, 10937), List(4945, 6485), List(1759, 1849), List(9354, 11307), List(4089, 7466), List(6463, 10726), List(4277, 10900), List(4213, 9195), List(476, 2736), List(10405, 10420), List(3377, 5890), List(3898, 4838), List(841, 7937), List(1426, 4426), List(4519, 6619), List(3886, 6706), List(1504, 9944), List(2965, 3852), List(5795, 11327), List(1650, 9769), List(652, 10667), List(1989, 6983), List(7990, 10892), List(1831, 9026), List(3039, 4740), List(6803, 8858), List(6524, 7191), List(3377, 4735), List(3380, 8416), List(6088, 10044), List(9790, 11032), List(1034, 7177), List(8196, 11118), List(8316, 9722), List(2813, 9473), List(3711, 4207), List(3433, 7646), List(2779, 6856), List(3701, 6902), List(8467, 10241), List(7180, 11036), List(2137, 8328), List(740, 3293), List(5406, 6051), List(6940, 11549), List(11109, 11249), List(2293, 2425), List(7530, 8382), List(5011, 9659), List(1109, 4853), List(10042, 10852), List(9018, 10529), List(9890, 11212), List(2672, 8837), List(7309, 10857), List(3725, 7646), List(2378, 8390), List(454, 6844), List(3093, 4171), List(734, 2697), List(10286, 10431), List(1607, 5480), List(2440, 6235), List(5177, 7103), List(631, 4447), List(3406, 5799), List(94, 4996), List(9751, 10272), List(3061, 8016), List(9995, 10632), List(1060, 3806), List(2616, 4367), List(3233, 3777), List(1395, 9919), List(65, 6106), List(182, 1029), List(715, 7908), List(1954, 5187), List(4923, 9034), List(8405, 8558), List(3037, 9500), List(729, 4581), List(9703, 10581), List(8180, 9379), List(3445, 3818), List(4274, 7083), List(7666, 10097), List(606, 9062), List(2067, 2970), List(5885, 8105), List(2564, 3022), List(9754, 9765), List(3152, 10362), List(2615, 3741), List(5400, 8033), List(99, 4535), List(1036, 11275), List(9773, 10946), List(1533, 5665), List(411, 8971), List(1968, 9757), List(5919, 7285), List(530, 10356), List(3601, 7340), List(5903, 8280), List(6524, 10842), List(646, 11470), List(4215, 6452), List(6580, 11124), List(18, 2452), List(2626, 6882), List(9914, 9996), List(4000, 7961), List(6328, 7870), List(1383, 5697), List(739, 7847), List(944, 4869), List(5025, 8886), List(2222, 5486), List(572, 2257), List(7540, 10119), List(7421, 8707), List(4907, 10328), List(661, 5712), List(7393, 10823), List(6667, 10719), List(414, 11470), List(9060, 11023), List(1539, 9593), List(5897, 8034), List(7323, 9303), List(5394, 6659), List(2641, 7540), List(7338, 9611), List(5324, 11555), List(2647, 5076), List(2523, 6730), List(8376, 10741), List(11201, 11456), List(5129, 8081), List(4286, 7392), List(5468, 8301), List(4258, 5344), List(5283, 7767), List(1262, 6467), List(3080, 10970), List(3810, 4430), List(6627, 10889), List(2326, 2402), List(5407, 7244), List(10324, 11533), List(2545, 10811), List(978, 3675), List(8448, 8523), List(1964, 10307), List(4612, 5468), List(2873, 9337), List(1476, 4302), List(4184, 5930), List(414, 10665), List(906, 3957), List(3588, 9282), List(656, 10198), List(3181, 10621), List(1404, 6119), List(3494, 8866), List(3303, 5134), List(3769, 4375), List(8681, 10572), List(183, 4501), List(8488, 10931), List(6437, 7358), List(3202, 8465), List(497, 6354), List(2076, 10117), List(918, 8104), List(3975, 7634), List(1736, 4764), List(9702, 10974), List(550, 6365), List(240, 5385), List(1014, 4779), List(4868, 5407), List(5081, 6454), List(6199, 9822), List(3969, 4786), List(4120, 10617), List(10097, 10722), List(3304, 5335), List(1996, 8259), List(2932, 5729), List(6235, 8698), List(2905, 4283), List(3829, 7408), List(410, 10118), List(2086, 8152), List(8350, 10943), List(4957, 11464), List(3546, 4087), List(373, 10236), List(8740, 10347), List(4786, 6105), List(7093, 11553), List(1202, 6304), List(460, 5667), List(1422, 2106), List(7332, 7405), List(4656, 10196), List(3854, 8754), List(9071, 9171), List(5337, 6393), List(141, 437), List(2190, 8101), List(2067, 9199), List(4550, 6013), List(2962, 4416), List(9, 10871), List(1845, 3902), List(7608, 9151), List(2085, 6772), List(510, 5380), List(3994, 11393), List(7167, 9408), List(2707, 6526), List(1528, 11550), List(0, 10004), List(683, 7028), List(2608, 5766), List(3327, 5453), List(1835, 3564), List(3987, 7189), List(1611, 3856), List(1244, 8758), List(1084, 11509), List(8348, 10065), List(5098, 9386), List(678, 3651), List(4227, 4397), List(271, 11406), List(3609, 5516), List(7115, 11096), List(5353, 7626), List(1353, 5668), List(40, 5996), List(4553, 5506), List(4346, 8411), List(234, 2829), List(8358, 10379), List(5770, 8853), List(176, 2070), List(2385, 6983), List(3428, 4350), List(7889, 10840), List(6736, 8417), List(3028, 6860), List(1911, 11264), List(4358, 8421), List(1971, 11315), List(1555, 2769), List(2862, 9042), List(10427, 10744), List(1530, 5156), List(5141, 9032), List(1116, 9488), List(2145, 3739), List(2544, 7420), List(3925, 5506), List(1590, 2174), List(740, 10140), List(2519, 9053), List(10428, 11319), List(7837, 10276), List(3448, 6106), List(3855, 10402), List(273, 5012), List(7962, 9224), List(9271, 11406), List(4562, 5568), List(3073, 3196), List(8300, 8465), List(3945, 10295), List(6565, 9824), List(333, 9200), List(2043, 10228), List(1817, 9693), List(11217, 11371), List(5207, 8874), List(482, 8919), List(2246, 2636), List(2528, 5732), List(630, 5407), List(1406, 5628), List(2429, 4972), List(2222, 7877), List(4044, 9146), List(3736, 4829), List(3703, 8853), List(251, 5761), List(6285, 6400), List(9275, 11124), List(1674, 3349), List(5693, 6488), List(4488, 10291), List(1152, 4176), List(713, 7512), List(1220, 9006), List(207, 2456), List(1151, 4705), List(767, 7748), List(6214, 11071), List(5190, 10748), List(7735, 9194), List(3628, 3956), List(4476, 5743), List(1138, 2965), List(570, 4201), List(3155, 4675), List(6638, 7053), List(4626, 9070), List(6076, 10733), List(2129, 7662), List(1747, 11532), List(1192, 9967), List(8286, 9832), List(6515, 11534), List(9239, 11443), List(1909, 2411), List(3829, 7221), List(4570, 7633), List(3337, 10142), List(7628, 11525), List(1988, 3643), List(6475, 9102), List(1395, 6512), List(7248, 8271), List(2377, 4357), List(1167, 7816), List(6552, 9507), List(3940, 7587), List(4936, 5862), List(175, 6250), List(15, 1831), List(2408, 9305), List(6570, 7834), List(8949, 10684), List(2194, 8033), List(4518, 6288), List(514, 2683), List(2524, 4003), List(3365, 4619), List(3215, 7304), List(5486, 6679), List(3404, 3793), List(5197, 6576), List(441, 7308), List(3684, 10226), List(3679, 5718), List(9966, 10967), List(8630, 9591), List(3273, 8413), List(162, 4860), List(6227, 7064), List(1557, 6816), List(6682, 7644), List(2647, 8890), List(1231, 7585), List(3758, 11087), List(4730, 8214), List(7311, 8569), List(1485, 8633), List(1041, 10871), List(555, 7945), List(7950, 10956), List(4440, 8640), List(3350, 3533), List(349, 6564), List(5577, 9025), List(4734, 7582), List(7017, 8472), List(35, 2432), List(4212, 8409), List(2722, 3183), List(6237, 10761), List(1913, 7740), List(1624, 7637), List(5858, 7732), List(8880, 8961), List(2767, 5585), List(155, 5917), List(1870, 7289), List(5622, 8394), List(1520, 3500), List(4753, 5730), List(519, 1848), List(1057, 4907), List(5750, 10242), List(3604, 9815), List(5650, 5874), List(2348, 3507), List(135, 8274), List(4807, 7814), List(1716, 5667), List(1654, 4789), List(8376, 9212), List(3594, 8723), List(3749, 6382), List(447, 6267), List(2152, 6951), List(2398, 3220), List(4338, 9406), List(5916, 11069), List(9302, 9377), List(8494, 10372), List(3513, 6290), List(2171, 3968), List(1302, 1304), List(548, 8978), List(1429, 10124), List(7869, 11451), List(7642, 8062), List(3237, 10529), List(1978, 6956), List(4254, 6675), List(9393, 9845), List(9073, 10429), List(5817, 10659), List(2252, 9410), List(9533, 11353), List(5558, 6234), List(3681, 3780), List(573, 4662), List(1285, 8840), List(1247, 6104), List(8936, 10316), List(6386, 9274), List(2253, 2815), List(2179, 6838), List(2215, 6495), List(1938, 3743), List(243, 1525), List(5022, 5850), List(1715, 5391), List(1711, 7901), List(1117, 1500), List(4084, 10936), List(5013, 11399), List(4820, 5342), List(3292, 10212), List(365, 9220), List(5812, 6127), List(3035, 8112), List(5445, 11029), List(4318, 9827), List(2642, 5377), List(1916, 5273), List(4665, 7656), List(5780, 6589), List(3813, 8379), List(3157, 6762), List(6988, 9850), List(1685, 5525), List(2839, 5140), List(1347, 3251), List(1381, 8497), List(7260, 11477), List(94, 10046), List(479, 9857), List(1399, 9076), List(998, 1562), List(3047, 8472), List(7940, 8203), List(9127, 9456), List(1899, 7147), List(5073, 8016), List(9556, 9569), List(7054, 7063), List(5386, 9644), List(3858, 8098), List(5750, 10860), List(3534, 8940), List(8055, 9065), List(10515, 10591), List(8755, 9476), List(6482, 7776), List(265, 8184), List(2314, 10930), List(6025, 9752), List(1727, 11362), List(392, 3041), List(2214, 5064), List(1071, 3329), List(3063, 9705), List(6117, 6308), List(8479, 11463), List(9308, 10564), List(7035, 8110), List(2245, 3596), List(1092, 7589), List(4951, 8561), List(312, 4216), List(1303, 1393), List(6911, 9737), List(395, 2938), List(1277, 3555), List(7371, 10661), List(3639, 8710), List(2724, 5701), List(117, 6377), List(3971, 7759), List(4072, 7811), List(4108, 7468), List(2117, 11116), List(3473, 6728), List(665, 1486), List(1105, 7420), List(5533, 11518), List(2823, 9063), List(922, 2051), List(7515, 10790), List(6555, 8762), List(3902, 6087), List(333, 8826), List(4414, 8679), List(6986, 10446), List(3648, 8422), List(361, 7087), List(7800, 10370), List(4118, 10788), List(469, 4176), List(8199, 8389), List(4804, 5077), List(354, 2883), List(6785, 7130), List(7416, 10380), List(2244, 8982), List(6721, 9589), List(4043, 5137), List(4485, 6236), List(182, 7502), List(6936, 9928), List(403, 6158), List(272, 9647), List(748, 9576), List(2042, 4310), List(1885, 10742), List(3168, 5287), List(3096, 3721), List(3872, 3942), List(2254, 5886), List(9387, 11341), List(1046, 3756), List(540, 11532), List(2288, 4716), List(853, 9777), List(2749, 10029), List(3621, 5794), List(2793, 9547), List(3101, 7448), List(1501, 10752), List(3533, 3695), List(8106, 9672), List(7421, 9569), List(7822, 9913), List(1139, 9582), List(3692, 7889), List(5232, 6062), List(1281, 5501), List(2339, 3900), List(1933, 3212), List(8495, 10386), List(6607, 9995), List(3990, 8485), List(1376, 5738), List(6596, 9836), List(3392, 10256), List(582, 10603), List(561, 3310), List(4972, 11211), List(3723, 9080), List(3110, 10543), List(4569, 10040), List(1049, 6282), List(8683, 10033), List(7781, 11393), List(302, 4547), List(3915, 9250), List(2599, 5143), List(8211, 10977), List(806, 2360), List(8980, 9273), List(7625, 10099), List(3128, 4706), List(4970, 7351), List(9724, 9956), List(5894, 7470), List(8760, 10438), List(6050, 7983), List(86, 6585), List(2124, 9172), List(3834, 6036), List(6576, 10658), List(5609, 7459), List(2123, 8947), List(4461, 9544), List(6350, 8625), List(1405, 6452), List(6, 590), List(3550, 9660), List(2189, 10698), List(3710, 4657), List(12, 10958), List(7605, 8292), List(9439, 11076), List(5800, 8158), List(956, 1903), List(1808, 10225), List(10865, 11564), List(7832, 10176), List(554, 1334), List(2758, 5149), List(7465, 8662), List(5808, 10678), List(54, 6646), List(10518, 11456), List(3202, 6294), List(7620, 8950), List(1011, 8376), List(6093, 10258), List(10723, 11107), List(4491, 10483), List(4711, 8537), List(9454, 10953), List(3969, 5648), List(5684, 9272), List(7009, 9735), List(5297, 5628), List(8108, 8889), List(6272, 9442), List(9, 9505), List(6865, 9956), List(2875, 3805), List(9688, 9844), List(2398, 10067), List(6066, 8061), List(4744, 11279), List(6876, 7112), List(521, 7586), List(2649, 4401), List(226, 7638), List(3645, 9092), List(830, 1925), List(7027, 10664), List(7113, 9684), List(2641, 3759), List(397, 9213), List(309, 6360), List(3664, 10273), List(6403, 11214), List(6553, 8529), List(1047, 3845), List(4187, 5884), List(4510, 4817), List(3815, 10442), List(929, 9451), List(547, 9157), List(2135, 8502), List(8637, 11461), List(7701, 9073), List(3532, 7121), List(5865, 7374), List(2092, 11057), List(48, 2239), List(5731, 8313), List(103, 1946), List(3936, 8867), List(4364, 6870), List(3860, 9811), List(625, 10918), List(1814, 6582), List(4647, 7158), List(2216, 4118), List(5546, 11162), List(2581, 8188), List(2560, 7311), List(4635, 9026), List(6159, 6666), List(7435, 11374), List(1924, 6346), List(6280, 8124), List(640, 11576), List(9415, 9819), List(2226, 6684), List(274, 7254), List(678, 11279), List(6683, 7016), List(478, 10467), List(1409, 7593), List(889, 5083), List(5032, 5814), List(507, 2537), List(350, 11221), List(5835, 8612), List(5706, 5758), List(8821, 9430), List(3802, 11280), List(8160, 9721), List(2085, 6829), List(32, 8845), List(1821, 9200), List(4247, 5480), List(231, 10186), List(4457, 7010), List(9307, 11575), List(4455, 6183), List(3648, 4397), List(1991, 7167), List(222, 6690), List(2122, 2897), List(5785, 10373), List(1926, 2985), List(8319, 10882), List(5418, 8859), List(1330, 7835), List(1053, 5837), List(4296, 8755), List(10012, 10051), List(1109, 6146), List(3199, 9647), List(7834, 10840), List(2667, 9786), List(363, 1603), List(306, 5233), List(7341, 10153), List(201, 3527), List(7052, 10050), List(2286, 10094), List(338, 10406), List(2635, 3832), List(2783, 4484), List(2101, 3898), List(8379, 11313), List(2935, 7507), List(1691, 5720), List(7757, 8526), List(3407, 9946), List(2060, 11444), List(2124, 2569), List(3624, 8483), List(571, 9072), List(4235, 9576), List(10362, 10406), List(343, 6212), List(4331, 10038), List(2270, 5023), List(4135, 10126), List(5446, 8971), List(284, 2599), List(2811, 6101), List(5385, 9449), List(2119, 2575), List(7215, 10579), List(8772, 11365), List(773, 8425), List(2762, 8868), List(3892, 9587), List(830, 2543), List(7502, 7603), List(8398, 8680), List(6994, 8890), List(1863, 4083), List(5030, 7945), List(6148, 11313), List(3875, 11111), List(1767, 7004), List(332, 5649), List(5564, 11262), List(9979, 10237), List(2937, 4146), List(4993, 8063), List(5526, 8526), List(2035, 5506), List(6835, 11462), List(9789, 10113), List(5682, 9039), List(484, 8672), List(4381, 6718), List(3714, 7221), List(890, 3698), List(606, 3939), List(1070, 6517), List(1352, 5449), List(851, 7153), List(3373, 10311), List(5861, 7469), List(7043, 9132), List(7175, 10749), List(2380, 5891), List(6072, 8443), List(7629, 8475), List(8097, 10795), List(850, 1266), List(914, 8606), List(959, 7625), List(1155, 5285), List(6540, 6976), List(649, 6645), List(3805, 6154), List(1114, 1497), List(1432, 7256), List(3882, 8094), List(9988, 10299), List(931, 2544), List(1201, 10541), List(4497, 6677), List(8206, 11088), List(5752, 9754), List(5659, 9563), List(1607, 1780), List(2324, 11220), List(4965, 5210), List(489, 8211), List(6399, 11258), List(5339, 11278), List(5989, 8916), List(4891, 10364), List(3210, 7822), List(6107, 10103), List(319, 825), List(9656, 10849), List(2115, 3125), List(3233, 6493), List(6849, 10713), List(5882, 10924), List(2019, 6046), List(4830, 9307), List(7287, 7906), List(9181, 10741), List(5253, 7720), List(4638, 6104), List(1424, 1672), List(4500, 6170), List(1012, 6831), List(581, 3612), List(4287, 8506), List(3351, 11036), List(1908, 11291), List(984, 1750), List(5963, 9923), List(3690, 7469), List(5982, 7721), List(1598, 3895), List(4803, 6329), List(6138, 7480), List(6919, 8045), List(3068, 11098), List(5057, 7377), List(3894, 10682), List(4675, 11247), List(1474, 4768), List(1498, 2910), List(2843, 5503), List(7633, 10771), List(10021, 10731), List(413, 5317), List(3367, 8886), List(3109, 3932), List(533, 3921), List(311, 5040), List(772, 6189), List(5694, 10822), List(2552, 7956), List(2583, 8023), List(5048, 9893), List(2961, 6663), List(6724, 7927), List(3828, 6248), List(1185, 5015), List(6183, 10232), List(4125, 6242), List(737, 4101), List(8646, 9777), List(3164, 3989), List(335, 9948), List(5402, 7388), List(1355, 6365), List(1358, 10046), List(4741, 5427), List(9041, 9525), List(1538, 2285), List(292, 6087), List(944, 4552), List(417, 11451), List(8696, 9490), List(723, 2109), List(356, 11175), List(6665, 9575), List(2690, 10872), List(3045, 8619), List(3798, 6382), List(7060, 10104), List(2051, 6226), List(5105, 6239), List(1311, 5662), List(657, 4872), List(259, 10461), List(5383, 8435), List(1615, 6827), List(6971, 7780), List(3330, 8199), List(4111, 8764), List(2454, 4364), List(8030, 9787), List(561, 8547), List(530, 2818), List(9456, 11056), List(3487, 11566), List(2522, 2778), List(669, 4882), List(6998, 9576), List(2793, 7213), List(263, 3413), List(1449, 5195), List(6058, 11583), List(4377, 9041), List(9470, 11112), List(1810, 6140), List(824, 2891), List(2159, 6294), List(2226, 8270), List(4435, 6013), List(4402, 10037), List(5763, 6747), List(4923, 8985), List(3834, 4857), List(3705, 6167), List(3343, 11413), List(977, 8768), List(5612, 9961), List(4201, 9754), List(2931, 5992), List(9596, 9881), List(5415, 6414), List(1127, 9466), List(1860, 5853), List(2552, 6346), List(7281, 11338), List(7341, 11389), List(2514, 6993), List(1048, 6325), List(4157, 6799), List(6896, 7740), List(8195, 9988), List(2689, 5304), List(175, 6925), List(354, 8388), List(297, 1438), List(9166, 9896), List(4956, 7189), List(1407, 10580), List(1001, 9892), List(3060, 4658), List(3578, 6341), List(905, 6397), List(5079, 6441), List(2118, 6619), List(5385, 10685), List(3086, 9262), List(5815, 9515), List(2866, 4792), List(1959, 8060), List(3831, 7164), List(6107, 6883), List(656, 9076), List(9864, 10584), List(277, 10211), List(1092, 9606), List(1667, 5407), List(1985, 3996), List(4629, 8083), List(7707, 9244), List(3939, 7636), List(28, 58), List(9919, 11422), List(2166, 5505), List(149, 7932), List(3698, 7924), List(1102, 2373), List(5466, 8930), List(3379, 5700), List(643, 7686), List(9442, 10487), List(6672, 7981), List(4096, 7970), List(1911, 8369), List(264, 8821), List(7609, 9059), List(97, 3985), List(5549, 7652), List(3713, 8205), List(3028, 7348), List(813, 9036), List(1181, 7742), List(998, 8035), List(3153, 9679), List(7535, 10426), List(1304, 6994), List(2334, 9761), List(2458, 5855), List(2795, 8658), List(3796, 7277), List(3949, 7519), List(1573, 4186), List(4188, 9787), List(487, 10155), List(1982, 9309), List(542, 3446), List(10512, 11131), List(916, 3098), List(6700, 9224), List(6576, 6714), List(230, 11438), List(1409, 6414), List(2654, 11055), List(7879, 9081), List(6485, 10733), List(2282, 2781), List(4307, 5133), List(2332, 2898), List(1870, 10192), List(4399, 8105), List(183, 7835), List(3871, 11369), List(2206, 7108), List(26, 7851), List(4272, 6051), List(1583, 3719), List(7961, 8332), List(1992, 8842), List(2701, 7087), List(7468, 8399), List(2891, 11348), List(6003, 10585), List(7811, 8738), List(3387, 7765), List(4352, 10137), List(2704, 8489), List(1888, 11121), List(5589, 9255), List(1394, 8334), List(6766, 9820), List(401, 9576), List(3570, 3685), List(4967, 6468), List(139, 5634), List(1174, 3083), List(7022, 10914), List(6296, 10056), List(7729, 8332), List(5714, 10832), List(2469, 11251), List(3959, 5897), List(3248, 10989), List(3398, 8304), List(9277, 11284), List(6913, 9466), List(1498, 10562), List(1751, 8756), List(4495, 10795), List(1818, 4316), List(5675, 10877), List(474, 4577), List(4801, 7869), List(1028, 5917), List(8215, 8225), List(1525, 6723), List(8474, 10371), List(346, 5331), List(1553, 7990), List(4075, 10394), List(4176, 11200), List(2058, 6405), List(1896, 7575), List(4344, 6088), List(6470, 9246), List(5811, 9610), List(6346, 6736), List(1934, 7278), List(1886, 3854), List(9363, 9873), List(738, 2529), List(736, 5866), List(2190, 5019), List(9328, 10818), List(1924, 9973), List(3848, 5857), List(8571, 9149), List(2778, 5189), List(16, 2544), List(3849, 8711), List(4805, 7587), List(4247, 8757), List(6924, 8820), List(3130, 5991), List(7457, 9283), List(9912, 11219), List(3276, 5816), List(633, 4583), List(4086, 4867), List(2274, 9978), List(1467, 8192), List(5730, 9779), List(6358, 7096), List(2812, 4369), List(5167, 8353), List(1161, 10337), List(3458, 4517), List(4397, 5668), List(5569, 5889), List(1809, 9060), List(3664, 8557), List(1499, 3916), List(6602, 6675), List(7058, 7480), List(6877, 8600), List(3197, 3429), List(5445, 7516), List(4287, 11165), List(7062, 8353), List(1584, 3465), List(112, 10896), List(3254, 7346), List(3200, 10493), List(8705, 10788), List(732, 7571), List(6580, 11238), List(4438, 8301), List(8135, 11197), List(3283, 5051), List(5303, 7059), List(5216, 7814), List(1966, 7889), List(9230, 10609), List(6334, 11182), List(4281, 6782), List(3899, 10652), List(4742, 5679), List(1228, 7371), List(1216, 10020), List(1159, 9486), List(4672, 6788), List(431, 9686), List(6804, 9791), List(2743, 4898), List(2512, 2521), List(3659, 10791), List(1919, 4636), List(2084, 2983), List(4288, 6798), List(3066, 6490), List(9981, 10527), List(5360, 6788), List(7512, 11167), List(5707, 10279), List(1068, 5934), List(1314, 2957), List(3373, 4139), List(451, 9907), List(2404, 10693), List(1212, 2680), List(3622, 4843), List(3682, 5648), List(1059, 11483), List(6919, 10249), List(2735, 3101), List(7129, 7615), List(3917, 4010), List(4856, 5161), List(4044, 9447), List(2328, 8604), List(4296, 10422), List(5843, 9766), List(2579, 5971), List(6720, 10039), List(875, 5889), List(302, 6027), List(2898, 8168), List(9178, 11492), List(489, 1689), List(6225, 9279), List(2025, 8014), List(6099, 10860), List(1828, 10883), List(574, 1238), List(1943, 1973), List(9517, 11308), List(7260, 9387), List(572, 3794), List(6327, 11434), List(4123, 5367), List(1036, 8624), List(7445, 8386), List(1695, 1844), List(5084, 10249), List(8446, 11169), List(3580, 6845), List(6011, 10639), List(4527, 8611), List(4820, 5480), List(8930, 10235), List(1960, 5710), List(2949, 6978), List(9805, 10435), List(6138, 8879), List(2210, 10022), List(3235, 6783), List(5346, 8155), List(3259, 4925), List(647, 5257), List(2675, 11290), List(5730, 10747), List(1608, 4477), List(1238, 9862), List(398, 5684), List(8737, 10944), List(3790, 7944), List(4719, 10659), List(2565, 10371), List(4039, 8648), List(455, 5437), List(6463, 11271), List(174, 2943), List(3653, 4448), List(7054, 8706), List(1297, 7409), List(1388, 6773), List(2131, 11018), List(5921, 9941), List(1700, 7799), List(3159, 11460), List(7, 7906), List(9626, 10446), List(2289, 10823), List(3466, 4972), List(135, 4119), List(720, 7024), List(3395, 6260), List(5136, 8853), List(6282, 7853), List(1989, 10561), List(5354, 10244), List(2530, 10885), List(5830, 10173), List(1866, 5243), List(682, 7671), List(343, 4041), List(5291, 9895), List(589, 1064), List(10019, 11279), List(1547, 6429), List(2483, 3899), List(215, 8959), List(10912, 11304), List(1602, 9519), List(1425, 2467), List(3286, 11578), List(4069, 6554), List(2890, 11578), List(5153, 6928), List(6025, 6857), List(397, 1244), List(1820, 4494), List(2007, 4320), List(2067, 11541), List(6075, 9603), List(5490, 6698), List(5483, 5527), List(8605, 10370), List(7017, 8773), List(1212, 3298), List(6103, 8618), List(2612, 5598), List(160, 8097), List(1689, 6081), List(2673, 2841), List(1496, 6440), List(4552, 8751), List(3415, 6861), List(772, 5628), List(3418, 10542), List(7160, 10929), List(7726, 9620), List(2638, 7169), List(8647, 9441), List(6000, 10718), List(8240, 8528), List(4994, 10974), List(1701, 6441), List(603, 4479), List(8582, 10894), List(358, 3894), List(2132, 2463), List(3054, 8171), List(6672, 6802), List(37, 11423), List(1508, 6019), List(4118, 11276), List(5171, 7079), List(2130, 11435), List(379, 1738), List(4372, 5908), List(415, 1395), List(1557, 5157), List(2057, 9644), List(2406, 4136), List(9190, 9437), List(3018, 8864), List(4766, 6212), List(1893, 2073), List(2173, 4342), List(7159, 7270), List(1156, 1780), List(2334, 5199), List(6661, 8491), List(5868, 10575), List(3423, 3665), List(672, 1209), List(8833, 11270), List(1977, 4403), List(5655, 9501), List(648, 10614), List(1350, 7688), List(2160, 6739), List(2294, 2767), List(51, 8823), List(5997, 9615), List(1637, 10347), List(3841, 8500), List(2693, 6421), List(2872, 8638), List(64, 2642), List(1880, 11236), List(1309, 1621), List(2991, 7017), List(3271, 9286), List(7316, 9482), List(6103, 7008), List(807, 3854), List(279, 7118), List(5974, 7537), List(3176, 9399), List(4172, 6920), List(7307, 8615), List(5383, 7069), List(1393, 6580), List(3917, 6401), List(2862, 4513), List(2509, 9121), List(5059, 7911), List(2729, 4923), List(1760, 11477), List(3931, 7238), List(892, 6005), List(1944, 4589), List(9512, 9972), List(350, 4675), List(6946, 10679), List(5022, 8379), List(3623, 9687), List(4898, 6623), List(7785, 8216), List(228, 6375), List(1305, 9742), List(255, 4788), List(6375, 10863), List(3140, 5554), List(5915, 6152), List(6099, 8713), List(4762, 10145), List(1529, 2253), List(10075, 11024), List(2422, 3059), List(6100, 11567), List(10181, 11420), List(1429, 2049), List(935, 1514), List(7461, 8277), List(2112, 8495), List(929, 945), List(397, 4090), List(5562, 7727), List(801, 8115), List(1957, 7803), List(2728, 7680), List(462, 2233), List(8889, 9592), List(523, 10056), List(6808, 7308), List(72, 11123), List(3812, 10683), List(6861, 6942), List(10221, 10445), List(264, 4877), List(1131, 6714), List(4940, 9077), List(4966, 8046), List(3997, 10436), List(1858, 10426), List(7388, 9088), List(4983, 5017), List(693, 7242), List(7800, 11476), List(6983, 9002), List(2685, 7202), List(3373, 10986), List(4545, 11207), List(3053, 5154), List(3746, 10036), List(563, 11333), List(3648, 6495), List(2521, 5293), List(406, 10595), List(3403, 6664), List(10865, 10897), List(3561, 7250), List(2591, 4534), List(4328, 9637), List(2143, 10036), List(2683, 7506), List(9625, 9983), List(4943, 8220), List(7744, 10793), List(1866, 10667), List(4946, 5485), List(2764, 5401), List(3077, 3646), List(6184, 9709), List(5463, 6943), List(8618, 10768), List(3693, 9247), List(4071, 8641), List(1289, 10282), List(678, 6156), List(8145, 11487), List(1082, 6771), List(4285, 6126), List(5615, 7687), List(8254, 11430), List(1881, 4909), List(2473, 2569), List(8780, 10722), List(5674, 8267), List(3181, 3595), List(3277, 10473), List(1599, 5196), List(6566, 8848), List(5989, 6558), List(9709, 10404), List(1808, 2337), List(867, 4523), List(5168, 6594), List(1899, 2455), List(5665, 7400), List(5844, 8863), List(11169, 11257), List(336, 8270), List(5005, 8293), List(3169, 8846), List(2649, 10500), List(615, 11068), List(2081, 5320), List(8772, 10430), List(704, 3189), List(1292, 9775), List(302, 9036), List(8633, 10271), List(295, 2203), List(3218, 5705), List(2137, 11264), List(4033, 11516), List(671, 10596), List(2080, 10730), List(570, 4128), List(1223, 4693), List(4311, 10706), List(2468, 10088), List(9221, 9660), List(2, 7993), List(7388, 7478), List(5117, 5851), List(1869, 2589), List(5550, 11368), List(5142, 7601), List(1219, 4924), List(1430, 9308), List(5380, 9644), List(212, 11371), List(1029, 5177), List(839, 11469), List(5290, 10101), List(1649, 4104), List(9665, 10431), List(3969, 9787), List(4626, 7842), List(4154, 8786), List(2877, 11023), List(570, 3323), List(2500, 8067), List(1502, 9719), List(3584, 6189), List(139, 10684), List(2966, 7308), List(4592, 5979), List(1503, 6911), List(1191, 2852), List(4174, 6405), List(932, 4089), List(3901, 10942), List(8810, 11206), List(5348, 6672), List(2330, 6316), List(9361, 11494), List(7535, 10483), List(1052, 1912), List(3323, 7703), List(1528, 1841), List(10478, 11227), List(519, 2580), List(3285, 8350), List(8023, 10422), List(6521, 10097), List(9640, 11259), List(5430, 9306), List(3437, 11373), List(887, 10331), List(78, 8472), List(2041, 3530), List(4096, 7222), List(6880, 7936), List(1133, 4321), List(6286, 7197), List(3620, 4260), List(7035, 8224), List(3678, 8402), List(1971, 4639), List(1484, 4551), List(3357, 8761), List(5795, 7310), List(895, 4156), List(5170, 7258), List(528, 9058), List(6094, 7377), List(3236, 4270), List(2418, 10993), List(6807, 8747), List(4047, 6929), List(3906, 6724), List(7842, 10360), List(1082, 3201), List(2642, 6914), List(5462, 9537), List(5658, 7197), List(1852, 2853), List(3378, 3572), List(5676, 11186), List(3279, 6976), List(1699, 5240), List(6339, 6777), List(790, 9593), List(5950, 9476), List(358, 3520), List(1497, 7765), List(2042, 5579), List(447, 9227), List(573, 5394), List(4901, 11540), List(3468, 6848), List(3595, 8875), List(2370, 11302), List(8722, 9776), List(4305, 4312), List(1650, 7980), List(2560, 4229), List(2954, 7566), List(8807, 11577), List(2057, 2854), List(6152, 6577), List(2428, 5241), List(4324, 5493), List(7126, 10920), List(7618, 10628), List(6090, 9082), List(2609, 6750), List(6742, 6793), List(4844, 6468), List(7619, 7820), List(2628, 5302), List(1583, 6354), List(1335, 7006), List(3236, 6848), List(7871, 8041), List(636, 1555), List(2005, 4542), List(4995, 10020), List(766, 847), List(2658, 3609), List(7396, 8687), List(3501, 5052), List(5678, 10427), List(480, 10814), List(3276, 5873), List(7598, 8821), List(3243, 9897), List(67, 1785), List(662, 9542), List(5087, 9959), List(6476, 7963), List(8558, 10849), List(4232, 11165), List(2716, 4718), List(3865, 9651), List(4522, 7706), List(2306, 6540), List(6070, 10658), List(4335, 4847), List(5405, 11207), List(2239, 3783), List(4035, 11001), List(10017, 10696), List(3570, 8198), List(712, 10009), List(862, 6570), List(2200, 7992), List(6276, 7501), List(5443, 10910), List(796, 1786), List(2511, 3158), List(84, 2489), List(5815, 9735), List(4843, 6192), List(7735, 8129), List(4094, 7794), List(6772, 11465), List(1481, 2239), List(1293, 9358), List(1107, 5970), List(1043, 2013), List(1160, 3352), List(3981, 6577), List(4951, 9293), List(9865, 9901), List(3027, 7747), List(3335, 5648), List(4202, 5233), List(349, 7459), List(2955, 9564), List(8619, 10670), List(1210, 9481), List(28, 8572), List(5002, 9231), List(3699, 10247), List(989, 7792), List(1711, 10406), List(5495, 6131), List(2164, 5278), List(174, 4610), List(4649, 8554), List(1445, 4810), List(6310, 8909), List(4428, 6111), List(8008, 8422), List(1413, 10190), List(2319, 8949), List(4404, 11352), List(2532, 9996), List(1157, 10944), List(5239, 5737), List(6357, 9105), List(4604, 4997), List(6904, 9274), List(1962, 6618), List(10031, 10297), List(1769, 6977), List(9148, 9455), List(2649, 10931), List(3513, 6835), List(7681, 9316), List(11170, 11509), List(1322, 2501), List(950, 7059), List(1175, 9621), List(392, 8229), List(6837, 8402), List(5438, 8956), List(180, 4374), List(10635, 11350), List(2359, 10576), List(269, 1413), List(1690, 3836), List(8854, 9358), List(166, 3163), List(1281, 2850), List(160, 9764), List(597, 5601), List(2553, 3652), List(5455, 6277), List(4214, 10423), List(1181, 2619), List(7815, 10605), List(2906, 4679), List(222, 1193), List(4232, 8750), List(1744, 4422), List(2210, 10079), List(9367, 10266), List(5444, 10999), List(5697, 9193), List(4570, 7991), List(3608, 11552), List(8501, 11283), List(7601, 9306), List(6939, 10907), List(8155, 10646), List(2665, 10659), List(6127, 8777), List(8743, 10816), List(395, 2060), List(5131, 9721), List(6280, 8238), List(821, 4154), List(1354, 4617), List(4025, 6363), List(3844, 8237), List(2354, 3011), List(1970, 6054), List(4404, 6359), List(2752, 3057), List(4305, 6353), List(38, 3112), List(3281, 6030), List(5917, 6092), List(876, 4211), List(8993, 10590), List(3339, 10172), List(9084, 9954), List(2805, 9484), List(1155, 7009), List(4950, 10440), List(6631, 8818), List(8408, 11068), List(1187, 2760), List(3637, 6604), List(9122, 9657), List(7315, 8696), List(6384, 11570), List(1333, 2585), List(3512, 4623), List(683, 4166), List(449, 7907), List(3912, 8879), List(6620, 8255), List(2786, 4115), List(4800, 6308), List(2217, 11542), List(3805, 6723), List(2936, 4813), List(2492, 7051), List(5539, 6647), List(3433, 8248), List(100, 152), List(3584, 6165), List(1898, 3279), List(3668, 11528), List(492, 3416), List(4736, 11369), List(4385, 9634), List(3664, 7622), List(7619, 9056), List(3130, 6934), List(3694, 9716), List(1915, 3633), List(9149, 10648), List(4094, 9835), List(6716, 10191), List(8235, 10493), List(8667, 10150), List(5151, 9517), List(20, 3956), List(1544, 8766), List(388, 2662), List(7640, 10283), List(763, 1785), List(14, 10557), List(4647, 10923), List(2582, 9172), List(8215, 8713), List(4362, 5277), List(2028, 11215), List(2460, 7462), List(5939, 5961), List(8810, 10027), List(6785, 7675), List(5575, 11134), List(1112, 1565), List(7094, 8430), List(5406, 8881), List(2329, 4912), List(2110, 10466), List(2068, 10240), List(777, 8607), List(3043, 7638), List(3905, 9131), List(1164, 4357), List(6091, 10088), List(74, 6420), List(1352, 7791), List(860, 913), List(6073, 8004), List(942, 9613), List(2652, 6477), List(3275, 3450), List(1498, 10245), List(3, 4675), List(3249, 7864), List(1592, 7628), List(1647, 7335), List(933, 2330), List(8193, 9812), List(4769, 8014), List(8458, 11049), List(7878, 8488), List(154, 1811), List(3972, 6165), List(1365, 4589), List(2170, 3296), List(3747, 11150), List(729, 10794), List(2346, 10877), List(5902, 6378), List(6953, 10776), List(4157, 6295), List(1788, 4133), List(5173, 5222), List(2189, 7860), List(358, 8757), List(281, 6847), List(2774, 4349), List(3147, 3399), List(9662, 9973), List(1068, 4194), List(7852, 9495), List(5352, 10822), List(7315, 11542), List(1086, 4019), List(2773, 10513), List(3950, 11078), List(2295, 7505), List(5789, 7790), List(1215, 10256), List(560, 11493), List(2017, 8665), List(8046, 8206), List(1984, 6273), List(1387, 8269), List(1728, 2146), List(3510, 11156), List(3346, 10001), List(1259, 6771), List(1753, 3142), List(1637, 5411), List(3989, 9878), List(4054, 11027), List(4682, 8344), List(4738, 10905), List(3248, 5679), List(1128, 6473), List(6821, 10983), List(9446, 10856), List(4245, 4556), List(2896, 5227), List(2056, 7465), List(7124, 7759), List(1933, 2147), List(1807, 10144), List(597, 7187), List(6937, 11316), List(8742, 9198), List(58, 6155), List(3738, 5664), List(3889, 9997), List(308, 10467), List(144, 9312), List(7308, 9916), List(1336, 4493), List(6243, 10346), List(1379, 6849), List(2294, 3442), List(4744, 7286), List(1416, 5950), List(2037, 8512), List(1286, 10041), List(2062, 10262), List(5618, 11425), List(2435, 8558), List(5856, 7052), List(6470, 9197), List(4176, 8118), List(1588, 10756), List(3465, 6794), List(1027, 8999), List(3737, 5038), List(4487, 9700), List(2083, 4319), List(4018, 10161), List(3612, 9473), List(4908, 5034), List(650, 3010), List(1202, 3523), List(8020, 8408), List(10105, 10811), List(5776, 7446), List(6746, 7910), List(84, 3538), List(9607, 10534), List(2816, 8226), List(1331, 3344), List(3282, 3303), List(1910, 5680), List(2997, 9735), List(1822, 3581), List(440, 8276), List(5388, 7714), List(2616, 3627), List(513, 618), List(6294, 6473), List(2402, 9525), List(5022, 9054), List(1696, 4381), List(4982, 5491), List(2611, 6666), List(8337, 9404), List(3115, 4479), List(4541, 5748), List(3773, 10306), List(1718, 9243), List(4447, 5332), List(6656, 10245), List(10171, 11407), List(376, 505), List(2330, 4145), List(1304, 7913), List(2585, 8047), List(7082, 9306), List(5320, 5836), List(3505, 5014), List(4685, 5096), List(5149, 9926), List(4120, 9259), List(390, 4725), List(5577, 6431), List(8608, 11156), List(3658, 4475), List(2417, 6369), List(8814, 11032), List(7174, 9245), List(1787, 5973), List(1531, 1846), List(1351, 6574), List(6351, 8454), List(6669, 7797), List(4521, 10707), List(1058, 3319), List(438, 10027), List(780, 6758), List(7339, 10251), List(5105, 6971), List(1617, 8386), List(7528, 9369), List(3918, 9101), List(1046, 8570), List(3229, 11508), List(7362, 7387), List(2729, 10404), List(9263, 11366), List(6183, 7126), List(1312, 3212), List(6831, 8101), List(606, 4484), List(1853, 3536), List(1727, 11533), List(7789, 7804), List(1161, 2262), List(842, 9864), List(7411, 7629), List(3020, 6796), List(1564, 6816), List(1464, 9618), List(6008, 11447), List(4674, 10144), List(8065, 9550), List(4538, 6873), List(8058, 8379), List(6824, 7280), List(5165, 6971), List(55, 6451), List(2429, 2541), List(927, 2216), List(2984, 7489), List(1585, 8043), List(10100, 11085), List(3639, 8881), List(2641, 10533), List(0, 5963), List(1855, 3208), List(10633, 11548), List(8262, 8559), List(2787, 10358), List(3322, 7484), List(9110, 10346), List(1948, 9034), List(1129, 6487), List(3346, 9009), List(734, 9341), List(923, 5830), List(3520, 9347), List(590, 8838), List(3088, 7438), List(8592, 11295), List(8686, 10176), List(2771, 5287), List(935, 5840), List(1277, 2571), List(4205, 6417), List(1526, 9691), List(4102, 9702), List(998, 3156), List(4606, 7515), List(3614, 3697), List(6162, 8076), List(155, 11512), List(5170, 6510), List(5310, 5766), List(1760, 2516), List(5020, 11073), List(6271, 8369), List(6584, 6614), List(5765, 9729), List(2780, 5349), List(1661, 1756), List(1721, 2561), List(8011, 10737), List(9972, 11384), List(753, 9717), List(5163, 8348), List(1040, 8993), List(1618, 8475), List(10341, 10692), List(4517, 7419), List(6476, 11403), List(4637, 6023), List(5946, 8205), List(5077, 5541), List(4788, 5438), List(1179, 8778), List(5227, 6239), List(2457, 2979), List(1201, 6093), List(2923, 4472), List(5039, 6188), List(6441, 9315), List(2878, 11145), List(8275, 8689), List(92, 3942), List(646, 5282), List(4536, 5567), List(3823, 9832), List(7646, 11147), List(2696, 8630), List(1325, 4816), List(2159, 4261), List(4562, 10171), List(577, 4364), List(3570, 8605), List(2655, 5596), List(5337, 6003), List(288, 9896), List(7008, 7076), List(2534, 10904), List(4170, 9539), List(5104, 10346), List(7155, 7503), List(2965, 6926), List(2979, 4380), List(4108, 4874), List(1921, 4446), List(515, 7993), List(425, 11483), List(206, 10621), List(3227, 10494), List(618, 2429), List(448, 3738), List(2908, 6018), List(2345, 6844), List(8950, 10682), List(1018, 3302), List(4270, 5582), List(223, 4559), List(3655, 10382), List(4873, 6784), List(4641, 7215), List(4395, 4530), List(6079, 6589), List(798, 10883), List(3159, 6768), List(5886, 6194), List(1538, 2025), List(8104, 11570), List(9095, 9501), List(3388, 4561), List(2149, 3118), List(6127, 6256), List(2362, 10581), List(3900, 7153), List(5535, 8596), List(2811, 8687), List(6340, 7303), List(4720, 6168), List(8620, 9393), List(1836, 1840), List(2039, 2199), List(1799, 9128), List(5940, 6780), List(7369, 7566), List(1366, 2830), List(3852, 9741), List(6467, 8926), List(261, 9523), List(2475, 8364), List(3008, 8827), List(1852, 2723), List(1511, 8846), List(1826, 7918), List(2326, 8241), List(2963, 4920), List(5301, 5517), List(5457, 6030), List(1728, 10766), List(570, 1583), List(6509, 11030), List(4336, 6528), List(1681, 10196), List(9034, 11453), List(6611, 8274), List(689, 2214), List(6939, 7581), List(4131, 8001), List(1863, 2481), List(2339, 8072), List(6286, 9645), List(92, 1177), List(904, 1055), List(1370, 1794), List(9176, 10755), List(5848, 9419), List(4188, 11137), List(1144, 9560), List(4119, 6836), List(1598, 7286), List(3254, 11461), List(5523, 10009), List(3780, 10753), List(2880, 8776), List(10122, 11545), List(1758, 7918), List(1844, 6938), List(1909, 8087), List(6427, 7941), List(2747, 2770), List(9288, 10565), List(2408, 3304), List(2411, 6985), List(3772, 10111), List(3560, 5502), List(2464, 5865), List(1008, 10803), List(9433, 10919), List(6654, 9825), List(351, 11213), List(2839, 9125), List(2144, 7580), List(3476, 5804), List(7402, 7998), List(2369, 10142), List(716, 3232), List(870, 7082), List(6212, 6447), List(1919, 1985), List(4721, 7412), List(10949, 11300), List(2728, 7981), List(9295, 10581), List(4436, 8182), List(647, 7949), List(3570, 11451), List(5929, 6509), List(1018, 3920), List(3060, 3243), List(515, 2545), List(7108, 7120), List(8143, 8733), List(1875, 2036), List(5892, 10764), List(658, 8488), List(5707, 7978), List(475, 3119), List(2586, 4491), List(939, 7195), List(6624, 7680), List(5225, 8234), List(4242, 10918), List(2432, 4024), List(4295, 7546), List(255, 4284), List(6636, 8414), List(3236, 11174), List(929, 3474), List(4910, 6129), List(3264, 3773), List(2259, 10670), List(275, 8319), List(557, 11415), List(7995, 11090), List(5445, 6638), List(708, 11584), List(173, 1626), List(1260, 5681), List(2535, 2617), List(7992, 10792), List(9451, 10289), List(1758, 9341), List(8700, 9566), List(2848, 4245), List(3161, 9660), List(907, 11420), List(1998, 6549), List(9251, 10608), List(7609, 7994), List(5424, 7639), List(4137, 9188), List(2241, 2520), List(658, 1267), List(9162, 10536), List(2372, 11082), List(7995, 9935), List(4796, 11453), List(1716, 9465), List(2487, 9342), List(4754, 11227), List(1619, 3870), List(6966, 9241), List(2823, 8510), List(9077, 10613), List(1303, 10989), List(4156, 7336), List(3225, 3794), List(5659, 6351), List(772, 8320), List(9698, 10142), List(6453, 10561), List(6218, 11418), List(392, 11482), List(517, 10430), List(2651, 2926), List(2224, 7777), List(4402, 6207), List(2103, 9702), List(5680, 7578), List(3204, 4795), List(8162, 11337), List(3800, 4826), List(3643, 11258), List(8868, 9284), List(9184, 11210), List(970, 4898), List(2559, 10103), List(8557, 11085), List(2492, 8881), List(5412, 8702), List(985, 1796), List(1766, 2361), List(145, 4034), List(5315, 8769), List(2354, 8947), List(769, 6867), List(10457, 11456), List(620, 10908), List(8340, 9515), List(6829, 9104), List(1362, 10764), List(1574, 2541), List(549, 9163), List(1106, 10020), List(1628, 5406), List(2003, 5283), List(5630, 6686), List(2969, 10509), List(3308, 10729), List(8444, 9464), List(4058, 8975), List(5598, 7148), List(467, 8757), List(3635, 6428), List(3328, 11381), List(3615, 8405), List(1588, 9390), List(1359, 10092), List(7377, 10198), List(9835, 10897), List(1890, 3312), List(5728, 9823), List(589, 991), List(9864, 10137), List(2732, 10946), List(2732, 4530), List(7059, 7822), List(2515, 6747), List(1288, 8347), List(2263, 11407), List(895, 5612), List(3164, 10576), List(6709, 7416), List(6671, 10342), List(6571, 6728), List(4683, 11255), List(1655, 10211), List(3333, 7537), List(2371, 8846), List(6164, 11450), List(4165, 8067), List(689, 6833), List(4231, 9818), List(62, 3702), List(120, 1428), List(1152, 5022), List(2257, 4021), List(1572, 3918), List(3445, 8128), List(931, 9749), List(23, 1495), List(3424, 8005), List(1679, 7922), List(5194, 9084), List(1163, 2178), List(6348, 7945), List(1049, 5274), List(2790, 10119), List(2912, 8796), List(6145, 6862), List(8519, 10122), List(1427, 3914), List(8954, 9296), List(5176, 7000), List(298, 6803), List(3092, 7451), List(1225, 6439), List(2505, 4473), List(5402, 6754), List(6828, 10275), List(4500, 8114), List(1599, 8343), List(5771, 7560), List(1626, 10166), List(3463, 6805), List(2186, 9042), List(7819, 8583), List(56, 2732), List(2774, 2796), List(437, 11469), List(2402, 7354), List(6970, 9577), List(866, 1783), List(2985, 9432), List(1058, 8369), List(9399, 9538), List(8401, 11190), List(5412, 9320), List(2153, 10033), List(3669, 10064), List(10241, 11510), List(3047, 7277), List(626, 4925), List(5314, 9916), List(4978, 9967), List(10735, 11264), List(7113, 9481), List(3107, 11465), List(2608, 7580), List(237, 4591), List(7246, 8290), List(2630, 4895), List(2719, 10602), List(2416, 10793), List(3464, 8504), List(4458, 10116), List(81, 1045), List(831, 2297), List(4473, 11148), List(4781, 9803), List(1825, 3155), List(2965, 4592), List(2567, 7929), List(6113, 10656), List(5082, 9916), List(4115, 10127), List(3554, 7616), List(3617, 5686), List(1273, 4520), List(8127, 11314), List(2730, 8108), List(1, 4849), List(4455, 10168), List(56, 5310), List(703, 2677), List(155, 10951), List(7244, 10472), List(556, 5633), List(1767, 11444), List(561, 10141), List(900, 3191), List(3106, 3669), List(4530, 11281), List(4910, 10748), List(1737, 6317), List(6491, 8922), List(6301, 8798), List(2292, 4849), List(3761, 9198), List(3873, 9439), List(3940, 10661), List(1911, 11573), List(7239, 10478), List(9880, 10884), List(2631, 7698), List(5616, 5662), List(6982, 9132), List(4150, 4994), List(1481, 8956), List(6261, 6366), List(1131, 10829), List(6539, 8562), List(422, 6168), List(5921, 9681), List(10996, 11146), List(6974, 11119), List(4755, 6272), List(811, 6128), List(7430, 9672), List(4021, 9660), List(1826, 2201), List(5602, 7834), List(2541, 10814), List(627, 9956), List(8624, 11315), List(6959, 7054), List(744, 1873), List(3515, 7987), List(2850, 8536), List(5811, 8358), List(1136, 10772), List(1914, 4650), List(666, 5373), List(5748, 8009), List(1383, 1981), List(734, 3787), List(4655, 5637), List(3404, 9095), List(6864, 10550), List(7757, 11356), List(6396, 8230), List(6110, 8398), List(7, 9874), List(1975, 5276), List(5881, 6094), List(137, 9166), List(5142, 9138), List(3142, 8536), List(2243, 9413), List(6040, 7255), List(2994, 4851), List(5733, 5792), List(5752, 10006), List(3888, 8511), List(3659, 6961), List(4603, 8456), List(7065, 7399), List(1265, 8684), List(4687, 7403), List(2068, 10728), List(3472, 4102), List(3229, 10760), List(2730, 3465), List(610, 10675), List(5306, 6105), List(2971, 9189), List(4523, 5467), List(1515, 9963), List(980, 6421), List(1441, 6816), List(1343, 4029), List(3378, 7069), List(5608, 6443), List(658, 10342), List(690, 6093), List(7083, 7574), List(6070, 8194), List(2183, 5174), List(151, 5815), List(2654, 4005), List(1864, 6360), List(7980, 9253), List(3708, 5668), List(7094, 11146), List(1650, 8094), List(2243, 8608), List(8714, 9248), List(1307, 4722), List(2494, 10139), List(5104, 8980), List(7802, 9920), List(6902, 7943), List(3390, 4046), List(3018, 8604), List(371, 10635), List(4163, 10385), List(1047, 6488), List(2348, 2393), List(3471, 6105), List(1729, 6293), List(9662, 10111), List(8201, 9787), List(1578, 9507), List(663, 6498), List(232, 7443), List(7611, 9921), List(4082, 10581), List(4216, 7363), List(161, 2315), List(2206, 5319), List(3711, 5915), List(3862, 6084), List(3681, 7204), List(3077, 8029), List(4269, 7374), List(10841, 11072), List(5294, 10551), List(8928, 8961), List(2856, 6340), List(6655, 7261), List(4385, 10740), List(8776, 9321), List(374, 3712), List(4010, 6332), List(800, 2773), List(703, 9256), List(7487, 10393), List(142, 329), List(3503, 7440), List(2524, 6890), List(7733, 10799), List(7038, 9254), List(2177, 6028), List(1786, 6372), List(11490, 11494), List(2275, 2399), List(1068, 3877), List(5173, 8288), List(4015, 5521), List(7287, 9931), List(3916, 4761), List(318, 1844), List(6997, 9603), List(2078, 2235), List(2976, 3385), List(1389, 11058), List(3199, 5874), List(6499, 9326), List(4134, 9535), List(118, 8579), List(666, 5186), List(2445, 4099), List(3619, 4366), List(2776, 2923), List(8577, 10908), List(4362, 8611), List(10910, 11161), List(793, 10596), List(160, 10683), List(1255, 5931), List(743, 3312), List(772, 8214), List(1931, 11583), List(2948, 4319), List(2106, 9894), List(7307, 9778), List(1113, 5474), List(10863, 10941), List(2267, 10751), List(10132, 10493), List(4765, 9351), List(3201, 11558), List(5095, 10983), List(8018, 8069), List(2235, 9715), List(7579, 11405), List(6097, 10204), List(3498, 8519), List(5394, 8017), List(8323, 9055), List(3455, 8822), List(3238, 3869), List(4829, 9901), List(3213, 5502), List(2215, 7154), List(284, 10853), List(1034, 9853), List(5576, 7849), List(5719, 10409), List(435, 8770), List(3673, 7180), List(1667, 2626), List(1960, 2848), List(2242, 2534), List(2861, 10685), List(8981, 10344), List(3542, 11046), List(10165, 11299), List(2968, 7549), List(7492, 11355), List(426, 706), List(1606, 4952), List(3686, 7011), List(4178, 7473), List(5590, 11288), List(4054, 5717), List(1512, 10952), List(3472, 6493), List(3255, 7956), List(5891, 8018), List(2312, 9315), List(9807, 10278), List(1536, 2678), List(5273, 9137), List(6732, 8634), List(1968, 3089), List(1752, 8160), List(2521, 6456), List(1072, 8401), List(688, 10690), List(147, 7333), List(2110, 8807), List(2048, 7929), List(8997, 11577), List(4111, 6601), List(1187, 9290), List(1982, 3145), List(268, 8791), List(8242, 9200), List(2103, 11019), List(6741, 9477), List(3666, 8587), List(8024, 11192), List(5242, 6417), List(4777, 10784), List(5966, 6448), List(675, 3638), List(4095, 7946), List(7111, 7475), List(6113, 9127), List(8518, 10946), List(3995, 4332), List(3248, 9013), List(5128, 8732), List(2124, 5830), List(3130, 8203), List(7607, 8810), List(1757, 10732), List(7266, 8517), List(3159, 7443), List(2746, 11246), List(4339, 7525), List(9843, 11382), List(4795, 5324), List(2597, 4707), List(2815, 6098), List(7693, 11213), List(9100, 10520), List(6452, 8943), List(8191, 8457), List(1902, 7299), List(1081, 3171), List(1394, 2170), List(9544, 10187), List(143, 2622), List(3632, 4815), List(7778, 9981), List(8215, 9982), List(1419, 3166), List(6028, 9554), List(1955, 9562), List(85, 2617), List(6645, 8210), List(430, 6035), List(6808, 9894), List(6185, 6505), List(6123, 9791), List(2001, 3521), List(11071, 11481), List(5524, 10960), List(3003, 11410), List(786, 10019), List(628, 2263), List(5020, 5950), List(7143, 9591), List(8918, 11014), List(5396, 8681), List(4248, 10766), List(4000, 7254), List(4709, 5499), List(1501, 9183), List(7815, 11337), List(1175, 9198), List(3668, 7454), List(3138, 4256), List(4550, 8071), List(8003, 8355), List(2430, 2449), List(4202, 10771), List(6406, 11176), List(6812, 9612), List(300, 2555), List(7469, 7667), List(5325, 10319), List(3733, 4816), List(1983, 4389), List(8765, 9617), List(10597, 11574), List(332, 8105), List(5595, 8867), List(7269, 10238), List(1364, 6037), List(2702, 7459), List(4372, 4924), List(3777, 11130), List(38, 10260), List(1067, 1505), List(5514, 9817), List(6068, 6993), List(3770, 6926), List(3636, 3728), List(5351, 11516), List(5320, 5787), List(10703, 11569), List(710, 6344), List(717, 1099), List(274, 529), List(7056, 11419), List(2954, 10689), List(583, 7700), List(8520, 9008), List(1980, 6319), List(2202, 9364), List(4812, 8205), List(667, 6647), List(1300, 4308), List(2594, 5458), List(5028, 8769), List(5224, 6429), List(1823, 9718), List(486, 4734), List(4023, 9627), List(5797, 8196), List(296, 4610), List(5208, 10807), List(731, 4538), List(4019, 6475), List(4677, 8138), List(1621, 8456), List(506, 3107), List(1223, 7629), List(965, 9091), List(4492, 5352), List(1940, 10653), List(3115, 10391), List(4445, 5536), List(10604, 10785), List(158, 11442), List(2455, 11284), List(9466, 10148), List(5347, 6805), List(173, 5334), List(1401, 6588), List(3476, 9057), List(4792, 5994), List(704, 4970), List(919, 2680), List(2204, 4468), List(3236, 8816), List(829, 3918), List(4027, 9345), List(1764, 8333), List(2918, 7194), List(6678, 7406), List(986, 10668), List(6979, 9054), List(1782, 5125), List(7671, 9547), List(4798, 5408), List(3932, 6425), List(100, 9528), List(1554, 2265), List(1810, 4140), List(7847, 10712), List(6913, 7653), List(6500, 11456), List(218, 5053), List(4118, 9032), List(396, 9297), List(3954, 7123), List(2773, 9822), List(5318, 7514), List(1679, 4596), List(4253, 7944), List(10085, 11078), List(613, 11217), List(5718, 8387), List(3047, 5106), List(2388, 6224), List(1388, 11213), List(2322, 7856), List(4867, 6302), List(853, 1255), List(1479, 4161), List(5706, 10255), List(5155, 6180), List(2004, 6234), List(6392, 10933), List(8200, 8332), List(2371, 4715), List(4588, 7237), List(3583, 7718), List(95, 1963), List(1528, 6655), List(4986, 7283), List(9836, 10350), List(6842, 8136), List(1578, 9401), List(5377, 10322), List(3424, 10290), List(1452, 4566), List(1176, 2416), List(9355, 10427), List(237, 11064), List(6770, 8418), List(5748, 9676), List(729, 11526), List(1921, 6707), List(2196, 2216), List(9229, 10473), List(74, 6347), List(1657, 8354), List(3706, 8848), List(9010, 9611), List(3740, 7678), List(3252, 8089), List(1124, 4858), List(159, 11531), List(5799, 5827), List(4412, 10178), List(3357, 10542), List(6311, 6941), List(4728, 5688), List(773, 9889), List(5444, 10739), List(3163, 4260), List(81, 6363), List(1894, 11276), List(994, 2883), List(794, 7733), List(3385, 6524), List(953, 3259), List(886, 2037), List(6980, 9143), List(397, 1846), List(1534, 9428), List(388, 4012), List(5300, 10209), List(202, 4788), List(8359, 10566), List(3841, 4296), List(3065, 4075), List(3937, 4004), List(1908, 11332), List(5017, 11052), List(537, 1102), List(1352, 6913), List(3220, 4363), List(1850, 10573), List(166, 2098), List(1910, 8372), List(3431, 9501), List(3488, 3619), List(561, 9043), List(444, 1288), List(1474, 11225), List(999, 6236), List(2169, 5630), List(1057, 5460), List(723, 6338), List(3236, 5246), List(1180, 1329), List(1649, 6503), List(1166, 3151), List(5431, 5565), List(7645, 10822), List(81, 5558), List(1428, 4814), List(893, 1272), List(7897, 11043), List(772, 3197), List(1795, 9711), List(2383, 9881), List(480, 9212), List(8071, 9883), List(1282, 6867), List(2252, 8085), List(258, 882), List(8095, 11408), List(297, 6472), List(1782, 4938), List(92, 5316), List(2832, 9865), List(1650, 8956), List(2025, 8079), List(6944, 9031), List(719, 3162), List(342, 2458), List(505, 10558), List(4941, 8158), List(6314, 8635), List(3741, 5889), List(3509, 6320), List(1234, 10209), List(9859, 11137), List(2491, 10703), List(4819, 6448), List(2458, 8311), List(10137, 11081), List(1618, 10549), List(4199, 4488), List(732, 6026), List(11105, 11472), List(336, 6026), List(1576, 10323), List(2018, 11422), List(4972, 10073), List(1634, 8049), List(5336, 11289), List(2036, 5585), List(3971, 5011), List(1593, 11431), List(289, 2423), List(4435, 9087), List(3869, 3980), List(5491, 11577), List(4798, 7449), List(694, 10056), List(6414, 8061), List(6047, 6547), List(1249, 7053), List(2114, 3559), List(8526, 10008), List(3044, 3466), List(3198, 7316), List(2387, 8794), List(1009, 3809), List(1110, 11031), List(1265, 1520), List(5468, 7220), List(3842, 4385), List(2379, 7398), List(1422, 9051), List(1314, 1412), List(18, 3599), List(195, 4235), List(2127, 4144), List(5550, 7969), List(5424, 9550), List(978, 9010), List(6552, 7190), List(4047, 8173), List(1569, 8697), List(2173, 2984), List(1068, 4739), List(648, 5873), List(8901, 11359), List(7373, 9813), List(1343, 10047), List(4536, 8714), List(152, 4888), List(5286, 9966), List(1335, 9405), List(8611, 11004), List(5228, 9207), List(5247, 7005), List(923, 10400), List(5250, 11440), List(5398, 7174), List(7853, 9110), List(3257, 7091), List(4618, 10217), List(7543, 8130), List(4318, 9925), List(2004, 7470), List(3468, 5059), List(135, 9795), List(943, 8019), List(4869, 10967), List(3124, 10884), List(199, 4303), List(288, 10010), List(5321, 5614), List(8321, 11026), List(4202, 8437), List(876, 3764), List(1490, 5155), List(3551, 7164), List(2713, 6065), List(6481, 7673), List(4291, 7728), List(3182, 4823), List(3307, 10187), List(1184, 5048), List(211, 7696), List(25, 11478), List(8624, 11185), List(4944, 5260), List(1833, 2461), List(7278, 9121), List(1791, 8651), List(675, 3077), List(1144, 8251), List(8575, 10919), List(1846, 5325), List(1631, 1953), List(2785, 7230), List(350, 6700), List(1418, 10705), List(3875, 8550), List(1690, 1779), List(4618, 6379), List(3116, 10218), List(4217, 5281), List(4991, 11091), List(6890, 8608), List(3956, 4193), List(2278, 6086), List(2990, 10264), List(4953, 5322), List(2950, 4449), List(1838, 5033), List(9367, 11242), List(403, 3678), List(4262, 4650), List(360, 598), List(544, 3159), List(7311, 10708), List(4840, 9767), List(3883, 11420), List(661, 711), List(6082, 9229), List(662, 3565), List(3000, 4916), List(1327, 6399), List(5993, 9157), List(7760, 10719), List(2445, 9767), List(9468, 10920), List(6174, 9168), List(9566, 11428), List(1120, 5547), List(903, 7010), List(1157, 10310), List(2675, 4752), List(6604, 11381), List(2029, 4577), List(434, 4438), List(1213, 8340), List(4884, 10015), List(2040, 10778), List(4249, 9275), List(610, 6357), List(6217, 11093), List(1420, 11070), List(1260, 7405), List(10045, 10500), List(4561, 8049), List(3136, 9634), List(1386, 9207), List(3932, 10507), List(539, 4612), List(3997, 5240), List(6025, 11273), List(1574, 6225), List(1559, 4439), List(2568, 7083), List(2085, 3731), List(4173, 10569), List(4078, 7299), List(4210, 8916), List(4740, 5698), List(3584, 3758), List(6817, 8240), List(7262, 8856), List(7876, 10247), List(963, 7010), List(2073, 8982), List(2011, 8104), List(4232, 8116), List(239, 3946), List(6651, 9641), List(7489, 10740), List(4982, 8614), List(548, 11117), List(2666, 3834), List(2830, 8372), List(6092, 11340), List(8363, 10715), List(3165, 10348), List(2344, 4722), List(6273, 6433), List(4587, 8465), List(208, 4983), List(1106, 6133), List(2028, 5425), List(2659, 9429), List(2012, 4892), List(754, 4927), List(4372, 9974), List(4515, 9528), List(7163, 8072), List(1709, 4332), List(1464, 10163), List(968, 6549), List(1145, 11349), List(3954, 7367), List(862, 8782), List(8869, 10829), List(371, 5512), List(7869, 9402), List(89, 164), List(3442, 8912), List(3194, 11062), List(3290, 5108), List(1722, 10579), List(387, 2258), List(2845, 7875), List(1014, 8772), List(5938, 10068), List(9238, 9356), List(331, 9496), List(4837, 7835), List(4808, 6316), List(3495, 8896), List(10028, 10414), List(3185, 7916), List(222, 11431), List(5361, 9683), List(9492, 9653), List(2408, 8224), List(1026, 5749), List(3329, 7291), List(5569, 7353), List(4161, 4411), List(2330, 5308), List(4252, 10191), List(5941, 6178), List(3174, 9605), List(2761, 7746), List(4096, 8897), List(2888, 6767), List(2456, 7110), List(329, 10897), List(2421, 8055), List(3164, 5884), List(3625, 6279), List(3974, 4935), List(3683, 10421), List(7394, 9243), List(1291, 6555), List(6831, 10069), List(2437, 5555), List(360, 7177), List(1413, 5986), List(1323, 3060), List(1805, 2080), List(2067, 10159), List(4646, 7435), List(3777, 4771), List(8561, 10968), List(1281, 6217), List(2833, 5905), List(2707, 7486), List(7180, 9849), List(1029, 2209), List(8628, 9911), List(832, 5078), List(765, 3856), List(4132, 5120), List(305, 8567), List(3474, 9092), List(7859, 9356), List(4127, 7405), List(4851, 7436), List(1178, 8317), List(4370, 10546), List(2252, 5751), List(2152, 8553), List(1883, 3410), List(1974, 2774), List(8231, 11564), List(4960, 10762), List(5196, 7097), List(10, 1829), List(6603, 10568), List(6360, 6646), List(3392, 9817), List(4820, 7749), List(129, 8876), List(10373, 11468), List(1600, 3472), List(1404, 4314), List(7477, 10543), List(806, 8337), List(6279, 10629), List(6597, 9218), List(8935, 9815), List(2708, 9535), List(7245, 10193), List(3642, 6932), List(1362, 9723), List(123, 6028), List(3853, 11316), List(204, 540), List(9080, 10169), List(6000, 8181), List(7798, 11308), List(2383, 6742), List(4597, 5583), List(729, 6777), List(543, 3389), List(4691, 9382), List(742, 11146), List(6019, 9362), List(2779, 10125), List(1540, 8682), List(7608, 8151), List(199, 6962), List(75, 5206), List(4839, 8499), List(7640, 11072), List(7079, 8561), List(7172, 8752), List(391, 7132), List(7067, 11210), List(878, 7250), List(8002, 8455), List(1814, 8103), List(4326, 5655), List(962, 2410), List(1001, 8754), List(903, 5213), List(4803, 9192), List(6730, 8003), List(5102, 9259), List(2389, 3123), List(2961, 9176), List(4446, 7642), List(1025, 10279), List(459, 7424), List(3819, 4511), List(517, 10812), List(8248, 11463), List(575, 2122), List(6488, 10348), List(3664, 10989), List(1207, 8980), List(858, 1656), List(1324, 3149), List(1981, 5368), List(6210, 8125), List(5432, 11241), List(5466, 10825), List(6149, 7849), List(9729, 10160), List(660, 7306), List(8700, 9493), List(4524, 6370), List(1372, 2816), List(4212, 10979), List(1535, 4500), List(2063, 6871), List(5452, 9614), List(844, 6080), List(5008, 5436), List(3616, 3751), List(4701, 4727), List(341, 5459), List(1686, 8052), List(5725, 7679), List(1238, 7138), List(2616, 4953), List(5821, 8141), List(5413, 10036), List(1265, 4797), List(2980, 6169), List(2733, 9675), List(8015, 8235), List(5831, 11488), List(3403, 7965), List(7365, 9816), List(5703, 5826), List(8256, 10549), List(6895, 7423), List(4372, 11210), List(4652, 7063), List(326, 7379), List(6257, 10549), List(639, 5624), List(3647, 5292), List(2927, 8386), List(2361, 3279), List(160, 9561), List(2873, 5117), List(3238, 3552), List(5006, 10974), List(5037, 10287), List(8722, 9386), List(6036, 11489), List(3331, 9378), List(2641, 8931), List(2698, 8684), List(1328, 2062), List(1675, 5553), List(2878, 5087), List(1800, 4501), List(4459, 9650), List(75, 5824), List(176, 5876), List(9130, 10500), List(5928, 7583), List(2721, 4322), List(8856, 11429), List(3989, 4251), List(7079, 9179), List(518, 9777), List(5391, 9630), List(3894, 7397), List(7013, 8559), List(8482, 8744), List(7236, 10294), List(7159, 8384), List(779, 7108), List(1314, 4234), List(9715, 10372), List(243, 4095), List(8780, 9340), List(1904, 10866), List(400, 1046), List(778, 10266), List(5570, 5781), List(3455, 11083), List(8147, 8646), List(11049, 11271), List(4817, 10647), List(1450, 2967), List(1678, 11462), List(5224, 8527), List(1368, 11236), List(1645, 9070), List(4072, 8958), List(4337, 10195), List(3944, 7460), List(3228, 8044), List(613, 2443), List(3868, 8404), List(573, 3044), List(2725, 6669), List(6077, 6901), List(2632, 10642), List(4898, 5509), List(2183, 2710), List(4090, 4252), List(5640, 9529), List(783, 3793), List(1288, 8624), List(3616, 4369), List(5197, 8959), List(2549, 7382), List(215, 1242), List(4380, 5704), List(686, 827), List(9961, 9973), List(4918, 6511), List(4176, 5874), List(8565, 10044), List(864, 11487), List(9052, 10162), List(8484, 10644), List(2849, 8024), List(2007, 9435), List(3545, 6007), List(1953, 6920), List(19, 10348), List(3534, 5094), List(4844, 10884), List(8472, 9479), List(8284, 9428), List(3504, 5602), List(6305, 8175), List(2650, 10416), List(3092, 4345), List(2242, 8901), List(559, 3280), List(877, 1869), List(4956, 5059), List(3775, 7758), List(587, 2295), List(896, 3050), List(1823, 3440), List(6406, 10859), List(489, 10805), List(241, 11457), List(862, 7603), List(8575, 9203), List(3607, 6080), List(5133, 6799), List(2413, 3656), List(2941, 10191), List(3063, 4704), List(898, 6479), List(3164, 5510), List(5528, 7328), List(6266, 10475), List(1911, 5889), List(3067, 5577), List(9322, 11288), List(547, 2465), List(5300, 7851), List(1215, 4092), List(306, 2029), List(3495, 11100), List(4692, 5901), List(5483, 7154), List(2479, 4252), List(775, 4170), List(2726, 4129), List(1774, 6126), List(9418, 9841), List(3170, 10936), List(4037, 4105), List(9451, 11452), List(5833, 7159), List(3470, 8195), List(5808, 8792), List(3748, 7385), List(1191, 5926), List(4217, 6143), List(2524, 7004), List(8697, 10431), List(1257, 9929), List(4767, 10747), List(3889, 10249), List(4171, 9181), List(1155, 3236), List(11201, 11505), List(1746, 9339), List(4788, 7837), List(1837, 9457), List(3112, 4141), List(5598, 6888), List(7399, 10286), List(4172, 9002), List(3797, 7627), List(526, 9077), List(5132, 5368), List(7408, 11503), List(1548, 6321), List(9359, 10708), List(6766, 7340), List(5367, 7894), List(3825, 8894), List(8739, 9502), List(401, 680), List(2534, 6537), List(3571, 11229), List(3905, 10351), List(760, 7968), List(1169, 6675), List(4708, 5979), List(9969, 10078), List(3282, 8093), List(818, 1907), List(346, 9267), List(1559, 9489), List(9007, 10606), List(4802, 8243), List(5860, 11560), List(5232, 7827), List(189, 9283), List(1723, 7611), List(2145, 3170), List(3110, 5542), List(1905, 7093), List(6290, 8111), List(6818, 10482), List(3893, 10317), List(963, 5644), List(1581, 3771), List(685, 2667), List(2333, 2817), List(3081, 7406), List(3984, 8900), List(1742, 8011), List(6874, 10010), List(7798, 10129), List(2603, 7781), List(2878, 3290), List(1972, 7914), List(660, 10315), List(1532, 10244), List(1517, 2042), List(2117, 6733), List(9121, 10088), List(315, 10280), List(4396, 10133), List(6349, 10919), List(843, 6235), List(2463, 10753), List(5660, 6910), List(969, 8037), List(1236, 5937), List(554, 9515), List(2069, 2905), List(2382, 8320), List(2113, 9593), List(267, 9458), List(5155, 8091), List(955, 6826), List(1268, 5071), List(170, 9525), List(6030, 8291), List(9951, 10141), List(2291, 11585), List(1635, 9968), List(135, 4054), List(7300, 8266), List(5619, 9888), List(1435, 2740), List(1066, 10979), List(2623, 6847), List(3428, 5554), List(8259, 10823), List(4646, 6874), List(1633, 6108), List(532, 4629), List(2390, 7807), List(3303, 9989), List(2209, 5517), List(5626, 9554), List(309, 1359), List(405, 8237), List(5783, 7259), List(1736, 6236), List(1171, 10399), List(4785, 11540), List(1483, 5009), List(8078, 8159), List(142, 9705), List(2499, 8100), List(3228, 8475), List(10501, 10557), List(1077, 1288), List(4433, 8055), List(3681, 5976), List(4494, 4544), List(380, 8715), List(1939, 3912), List(6228, 10130), List(406, 1268), List(2304, 7982), List(9931, 10562), List(967, 2998), List(3771, 5088), List(3948, 10642), List(8404, 9618), List(3858, 7716), List(1640, 11385), List(6776, 10874), List(1270, 6190), List(642, 6621), List(1419, 9696), List(4251, 7418), List(8208, 8925), List(4748, 8224), List(3538, 9431), List(5181, 10735), List(5788, 10181), List(334, 5687), List(580, 2710), List(3878, 5335), List(5987, 6634), List(2569, 6536), List(3369, 6397), List(416, 4938), List(4958, 9350), List(1935, 8650), List(1596, 2768), List(790, 10252), List(5360, 6886), List(1941, 5432), List(4360, 7711), List(5912, 7399), List(2410, 10606), List(7541, 9751), List(2873, 6166), List(6582, 10577), List(8626, 10727), List(187, 1853), List(9400, 10121), List(5566, 10145), List(342, 8557), List(1128, 9466), List(464, 10240), List(1398, 11047), List(1734, 4580), List(6248, 9950), List(6339, 9314), List(3380, 3903), List(5031, 9986), List(332, 4836), List(2171, 10970), List(8236, 10168), List(803, 4421), List(1575, 9404), List(3349, 7973), List(1611, 2645), List(10191, 11000), List(8389, 10383), List(5213, 6435), List(1978, 7542), List(1233, 7388), List(3724, 10479), List(4653, 10942), List(2977, 9498), List(785, 1556), List(1163, 5114), List(2226, 4611), List(5612, 9335), List(1404, 1793), List(1813, 8414), List(4831, 9524), List(4234, 5104), List(5643, 8648), List(9166, 10425), List(10804, 11385), List(4452, 6495), List(45, 5129), List(1721, 3163), List(4367, 8077), List(2185, 11403), List(9561, 10954), List(2235, 11520), List(691, 9441), List(187, 1048), List(8282, 10112), List(6291, 6590), List(9706, 10554), List(5695, 11440), List(9427, 11139), List(3336, 3550), List(4948, 10459), List(4480, 8139), List(2264, 2809), List(779, 2091), List(2730, 8466), List(1926, 10361), List(6618, 7924), List(2920, 5557), List(4934, 9248), List(3628, 6583), List(4404, 6050), List(1231, 8789), List(5721, 6595), List(1860, 8960), List(9379, 10317), List(5055, 10706), List(1879, 2594), List(2593, 8353), List(540, 1701), List(4402, 8606), List(7734, 10815), List(3271, 8416), List(1228, 11120), List(4903, 10285), List(5144, 6964), List(624, 9693), List(6792, 7114), List(7377, 10019), List(7354, 8315), List(6519, 10897), List(3305, 10629), List(186, 3051), List(3668, 8991), List(968, 7224), List(1147, 2271), List(3889, 7647), List(5914, 9999), List(7350, 7792), List(5657, 7899), List(4511, 7401), List(844, 8097), List(8891, 9573), List(3607, 7934), List(2943, 8708), List(7399, 7684), List(331, 6788), List(6158, 9578), List(1669, 8210), List(960, 2795), List(3847, 10804), List(2541, 8139), List(4089, 10337), List(4992, 6169), List(2070, 5521), List(9628, 10216), List(853, 5557), List(10315, 10365), List(632, 3868), List(6881, 7879), List(594, 7548), List(1463, 3796), List(5696, 6672), List(2337, 10187), List(4042, 6707), List(4642, 8392), List(318, 4617), List(2209, 4525), List(4939, 7632), List(1171, 6024), List(6096, 10928), List(6182, 9948), List(4248, 6960), List(1985, 5948), List(3666, 4326), List(9359, 10334), List(6530, 10631), List(2418, 5049), List(7120, 7464), List(551, 4037), List(179, 2179), List(1457, 2796), List(4246, 10270), List(1701, 9572), List(4526, 6123), List(1045, 7955), List(2475, 2550), List(511, 8021), List(7669, 8810), List(3462, 6374), List(6858, 9534), List(3993, 10174), List(1619, 3504), List(7819, 8754), List(1855, 2468), List(226, 10639), List(4106, 4574), List(1867, 9618), List(244, 8966), List(7338, 8831), List(8076, 8568), List(5063, 6304), List(739, 2529), List(8364, 8446), List(6992, 11577), List(397, 9181), List(2221, 7113), List(1598, 7888), List(10386, 10500), List(2214, 3690), List(1159, 4054), List(3380, 4066), List(2375, 10963), List(753, 3366), List(5959, 10010), List(3156, 4358), List(4403, 10580), List(6576, 8666), List(1626, 6149), List(2557, 4029), List(2345, 5836), List(1872, 3172), List(3527, 6745), List(7574, 7768), List(1534, 7314), List(101, 2622), List(3774, 6622), List(410, 9793), List(6879, 9606), List(3515, 8613), List(5736, 8625), List(6751, 10360), List(3143, 6755), List(4485, 5667), List(556, 8837), List(5762, 6813), List(9294, 11362), List(4199, 6212), List(8710, 11311), List(429, 3777), List(10296, 10583), List(3570, 8670), List(2569, 4389), List(4475, 4575), List(5311, 11263), List(2785, 11369), List(1326, 5456), List(7549, 8246), List(5121, 8887), List(599, 11543), List(4150, 8198), List(3935, 4072), List(1657, 4280), List(5989, 7916), List(1383, 2957), List(5240, 9518), List(2463, 5841), List(8815, 11485), List(3242, 9743), List(1812, 4568), List(2865, 3377), List(5356, 10632), List(2056, 11344), List(5664, 8533), List(1541, 9932), List(3739, 4133), List(2053, 11046), List(470, 2623), List(7317, 8246), List(5851, 7578), List(2854, 5847), List(283, 6180), List(2895, 5848), List(4791, 6100), List(2208, 11334), List(8753, 10957), List(1337, 5591), List(834, 7222), List(7152, 7620), List(4196, 8142), List(2508, 8593), List(3974, 9261), List(7709, 8477), List(1338, 9199), List(6690, 8498), List(1642, 9610), List(7500, 7549), List(5623, 5849), List(4752, 8774), List(5457, 10283), List(1234, 11478), List(4472, 9888), List(5767, 8230), List(2573, 9338), List(5013, 9488), List(4772, 7147), List(2719, 9163), List(2313, 8475), List(3126, 11207), List(1660, 4123), List(8695, 9043), List(4361, 8744), List(3891, 6351), List(8311, 9834), List(322, 8336), List(4611, 8892), List(492, 6303), List(1890, 5524), List(341, 3101), List(458, 3686), List(5258, 9642), List(4697, 4879), List(3718, 10745), List(146, 2633), List(2489, 3574), List(3103, 11381), List(930, 6879), List(3127, 9523), List(6676, 10269), List(2595, 4000), List(2099, 6048), List(2432, 5699), List(3397, 8071), List(2628, 3359), List(658, 714), List(1375, 9400), List(7204, 9607), List(2586, 3133), List(4306, 7101), List(5297, 8442), List(4617, 8683), List(288, 5318), List(6100, 6322), List(4150, 9971), List(9809, 10733), List(3577, 10109), List(2092, 5227), List(870, 11335), List(4426, 9088), List(3961, 10449), List(4890, 7502), List(771, 4159), List(3567, 6388), List(7716, 11071), List(7831, 8577), List(614, 9810), List(8048, 10497), List(5212, 11121), List(4752, 7164), List(2999, 3056), List(1355, 7943), List(3036, 6321), List(1076, 8528), List(3182, 5392), List(4400, 6712), List(10463, 11499), List(3221, 9484), List(9661, 10811), List(1901, 8641), List(6603, 11056), List(502, 2779), List(5923, 11297), List(314, 9898), List(4483, 5434), List(4644, 6291), List(6359, 7663), List(5268, 6118), List(4198, 5450), List(2308, 9150), List(2296, 7635), List(1922, 9114), List(2672, 10366), List(6686, 8997), List(213, 5278), List(8239, 11539), List(1711, 8113), List(80, 9852), List(2007, 4499), List(5069, 11543), List(613, 6151), List(4290, 5389), List(11041, 11304), List(1480, 5736), List(4256, 5778), List(7801, 9034), List(886, 8380), List(3291, 6035), List(1388, 9530), List(3628, 9592), List(4342, 8181), List(1997, 4161), List(8935, 9148), List(1966, 8231), List(1278, 4447), List(3024, 7384), List(8564, 10898), List(5976, 9372), List(30, 2918), List(5105, 10045), List(1001, 9242), List(4879, 8012), List(5264, 7823), List(3884, 9181), List(6258, 9435), List(6323, 10584), List(3815, 4880), List(4384, 7252), List(5406, 10158), List(800, 8205), List(7121, 11530), List(829, 6691), List(7613, 7828), List(2138, 9627), List(5940, 7813), List(3280, 4721), List(6487, 7982), List(569, 8457), List(1730, 8489), List(10188, 10997), List(3778, 5348), List(910, 1553), List(2157, 7775), List(233, 5475), List(1121, 5937), List(2461, 8186), List(6609, 9261), List(7010, 10359), List(2462, 11040), List(629, 9612), List(2748, 10845), List(1870, 3931), List(595, 6995), List(3476, 11025), List(9078, 11253), List(7032, 8024), List(991, 10378), List(2168, 6779), List(4074, 5467), List(5056, 5564), List(262, 3560), List(4131, 9384), List(3219, 5892), List(2190, 5979), List(3306, 8520), List(754, 6651), List(8890, 11552), List(3935, 8691), List(9411, 10500), List(7945, 9832), List(7630, 10760), List(321, 6769), List(10622, 10649), List(6664, 8917), List(7008, 8727), List(2588, 2992), List(5850, 5960), List(776, 8103), List(2558, 10697), List(8494, 10047), List(4238, 8850), List(1678, 2956), List(5233, 6900), List(866, 11379), List(4627, 11062), List(372, 3674), List(1081, 1919), List(869, 4480), List(8799, 11033), List(3627, 9635), List(4413, 10544), List(2104, 8433), List(3907, 6242), List(9447, 9756), List(4588, 8855), List(3058, 10646), List(922, 10907), List(5580, 7388), List(3037, 3353), List(10003, 10388), List(3506, 8527), List(7828, 11475), List(2076, 3352), List(478, 1067), List(6577, 8517), List(1042, 3095), List(414, 5778), List(2224, 4004), List(572, 6364), List(3190, 9984), List(3180, 9296), List(3894, 7885), List(1189, 5774), List(228, 9937), List(715, 10055), List(405, 11327), List(5176, 9375), List(532, 11102), List(1087, 8880), List(5667, 6202), List(3549, 7069), List(6566, 7954), List(8436, 9237), List(967, 7243), List(3388, 9595), List(3606, 10986), List(1149, 8977), List(3599, 9815), List(7212, 8102), List(5596, 10873), List(9328, 9818), List(1895, 4071), List(7172, 8703), List(5651, 8328), List(7175, 8220), List(669, 6273), List(512, 8541), List(4490, 5263), List(7015, 7938), List(3868, 8892), List(5268, 11192), List(4549, 5843), List(6763, 10346), List(202, 10944), List(6725, 7610), List(1315, 9804), List(8505, 10131), List(3118, 6859), List(4986, 11479), List(9442, 10455), List(6605, 6727), List(4019, 6028), List(1243, 5205), List(5542, 6449), List(6159, 11521), List(3511, 9944), List(8425, 10552), List(6090, 7220), List(2482, 3615), List(2389, 3424), List(1339, 1880), List(1301, 5560), List(9650, 11508), List(1789, 8532), List(1703, 3096), List(837, 4113), List(266, 914), List(773, 2408), List(8018, 8858), List(518, 1889), List(6051, 10648), List(2155, 3378), List(3383, 4632), List(823, 5154), List(5463, 10855), List(2383, 9621), List(4491, 7312), List(4217, 8241), List(475, 2192), List(1357, 9225), List(975, 6679), List(1811, 6951), List(1322, 10170), List(439, 5164), List(2891, 7583), List(1103, 5144), List(9153, 9547), List(10767, 10867), List(6906, 9068), List(5419, 7523), List(23, 7171), List(2175, 4380), List(8532, 10368), List(1125, 10006), List(1157, 8009), List(2730, 2912), List(6628, 9474), List(1645, 10981), List(993, 6854), List(4663, 5675), List(1579, 6951), List(211, 402), List(773, 8019), List(4725, 9936), List(734, 5812), List(4583, 6096), List(8688, 10507), List(4529, 9243), List(8381, 9044), List(786, 9385), List(6300, 7514), List(1780, 3827), List(935, 8727), List(6793, 10830), List(1311, 10704), List(1471, 6455), List(2868, 5074), List(8716, 8741), List(1187, 6696), List(6655, 10896), List(5602, 5671), List(650, 2327), List(371, 10082), List(3712, 9371), List(4672, 4983), List(4476, 8077), List(36, 10735), List(26, 3631), List(1837, 7717), List(6314, 7570), List(1711, 8544), List(527, 10972), List(460, 5586), List(4599, 7329), List(10442, 10652), List(7587, 11226), List(961, 7265), List(4961, 7718), List(603, 2861), List(9040, 10908), List(5864, 6960), List(1478, 2307), List(1129, 2153), List(2061, 8549), List(2899, 3232), List(3184, 5845), List(387, 4145), List(528, 10042), List(5606, 8772), List(10272, 11530), List(1838, 3000), List(6915, 10954), List(8679, 8835), List(8348, 9984), List(1185, 11480), List(5509, 8839), List(246, 3913), List(810, 5941), List(8033, 8660), List(4170, 10198), List(6663, 7700), List(244, 834), List(1274, 4355), List(4352, 4762), List(1838, 6383), List(843, 5300), List(955, 5541), List(4542, 9023), List(7152, 7864), List(5593, 10415), List(9526, 10370), List(2293, 6963), List(3136, 8406), List(491, 4094), List(6678, 7227), List(1943, 6584), List(2385, 3519), List(8510, 9938), List(8322, 10641), List(1942, 2949), List(732, 10572), List(140, 6496), List(859, 6183), List(3660, 8002), List(2476, 6266), List(4212, 8515), List(4305, 5296), List(4335, 6636), List(6574, 11391), List(503, 4454), List(648, 1425), List(3090, 8761), List(8491, 8733), List(8628, 11448), List(213, 7132), List(5968, 8356), List(5324, 8254), List(2614, 5799), List(4639, 8151), List(155, 6373), List(10177, 10838), List(2949, 5523), List(5715, 11293), List(4199, 11262), List(1016, 6143), List(1041, 7139), List(9845, 11038), List(10574, 10659), List(3690, 5908), List(160, 7097), List(1004, 4978), List(2786, 3408), List(8013, 8677), List(412, 902), List(1279, 6903), List(1719, 7175), List(11421, 11470), List(2796, 3372), List(1968, 7879), List(4733, 10041), List(868, 10752), List(2642, 2905), List(6186, 9723), List(7412, 10150), List(3916, 6786), List(55, 9151), List(1021, 8715), List(3039, 9896), List(1368, 6544), List(2484, 9085), List(3136, 6796), List(7618, 11157), List(4347, 6191), List(8664, 8795), List(4315, 11571), List(1698, 5143), List(4120, 10349), List(6274, 9139), List(4366, 7372), List(947, 6672), List(1256, 7427), List(8534, 9853), List(2384, 11483), List(101, 9095), List(3776, 7506), List(6971, 9252), List(5885, 8805), List(5733, 10663), List(346, 1729), List(60, 5307), List(7697, 9329), List(6006, 10263), List(6606, 7784), List(2448, 6021), List(7650, 8759), List(2576, 4486), List(4666, 11397), List(554, 5815), List(2054, 5313), List(1510, 3937), List(7965, 11214), List(6430, 8497), List(1669, 8885), List(7646, 8236), List(4139, 11099), List(526, 7150), List(8516, 11502), List(2535, 10497), List(3440, 6402), List(5876, 10540), List(4216, 6623), List(8228, 8591), List(5358, 7352), List(6915, 7384), List(779, 7222), List(479, 6930), List(2308, 5206), List(560, 1442), List(1396, 5878), List(783, 1679), List(7725, 9818), List(6813, 10490), List(3513, 11202), List(435, 4379), List(6231, 7856), List(3573, 4837), List(2241, 7367), List(488, 3259), List(2731, 7002), List(1143, 5405), List(8142, 8416), List(6619, 7214), List(6839, 8678), List(4447, 11228), List(4139, 6911), List(4416, 9663), List(4970, 6839), List(853, 5077), List(2265, 8892), List(2552, 8168), List(551, 4712), List(2416, 2645), List(10223, 10296), List(4428, 9673), List(8722, 10573), List(7698, 11004), List(5951, 10094), List(5736, 6722), List(264, 11448), List(4147, 7152), List(10179, 11128), List(253, 709), List(8475, 11046), List(3795, 5946), List(4803, 5736), List(2981, 3743), List(5976, 8811), List(7354, 7380), List(1437, 1664), List(530, 9096), List(9644, 10969), List(1983, 8024), List(3294, 5371), List(6095, 7190), List(3638, 9345), List(3610, 7297), List(6148, 10988), List(1542, 8281), List(4107, 8103), List(1664, 6931), List(43, 2188), List(1142, 7758), List(6147, 9982), List(1223, 2270), List(1324, 3076), List(45, 8650), List(322, 7238), List(1287, 7358), List(1688, 8456), List(8382, 10831), List(5307, 9941), List(2365, 7163), List(3650, 5541), List(2865, 8240), List(9153, 9173), List(1588, 10854), List(4224, 4500), List(2864, 11398), List(5763, 10342), List(338, 5088), List(2661, 3899), List(1761, 1922), List(2392, 5926), List(300, 2352), List(709, 6721), List(4382, 9223), List(1137, 9642), List(1856, 2913), List(2079, 11064), List(4156, 7190), List(5460, 9028), List(8579, 10190), List(3400, 7621), List(1297, 11028), List(8105, 10307), List(322, 6433), List(5272, 6698), List(7844, 9219), List(137, 10817), List(8375, 8855), List(221, 9010), List(3521, 9052), List(3682, 7657), List(2025, 3257), List(4798, 10198), List(3024, 5213), List(7155, 8593), List(7165, 9281), List(8422, 11303), List(8304, 10493), List(8242, 9615), List(4597, 6128), List(2200, 8334), List(4559, 9808), List(987, 5860), List(2385, 7333), List(1858, 7816), List(5306, 7756), List(4806, 6652), List(4990, 9213), List(692, 4407), List(5265, 11138), List(2269, 5845), List(7807, 8532), List(6626, 10477), List(6476, 7500), List(7594, 10868), List(875, 10126), List(1046, 1902), List(156, 4777), List(7618, 9010), List(4446, 8187), List(1775, 11322), List(9547, 10873), List(576, 2138), List(3858, 11400), List(10226, 10407), List(4567, 9645), List(243, 10788), List(4436, 10882), List(4004, 4055), List(9069, 11248), List(1240, 11163), List(2875, 6944), List(3590, 9141), List(792, 10249), List(2181, 2591), List(422, 5054), List(4709, 8947), List(5944, 7238), List(376, 1676), List(136, 5599), List(7759, 11443), List(9239, 9565), List(2797, 7411), List(7093, 9138), List(4547, 4805), List(3487, 4825), List(1804, 6374), List(2143, 10004), List(7932, 10058), List(1301, 4999), List(6867, 9734), List(8023, 9422), List(8701, 9108), List(678, 5774), List(3288, 4615), List(7080, 10781), List(6093, 9559), List(3884, 5400), List(4410, 11108), List(5367, 7203), List(6776, 7337), List(5220, 10159), List(5153, 8937), List(7486, 9190), List(1412, 4988), List(858, 1396), List(7012, 8553), List(1133, 3321), List(3557, 5944), List(6759, 8861), List(7920, 8893), List(4986, 6730), List(2868, 8351), List(5703, 9754), List(2778, 9589), List(9648, 9746), List(2559, 10225), List(6604, 8169), List(4429, 9256), List(444, 9111), List(2213, 3172), List(2405, 9758), List(9843, 10187), List(1559, 2382), List(1115, 1210), List(3267, 8999), List(9001, 9346), List(281, 5148), List(277, 7658), List(554, 6246), List(3350, 7721), List(6937, 7039), List(1620, 9424), List(3948, 9333), List(2458, 4107), List(584, 8340), List(1489, 4245), List(4531, 4995), List(1642, 4487), List(7500, 8842), List(3789, 8522), List(1630, 2972), List(4220, 10960), List(4318, 7331), List(1947, 2090), List(11, 5445), List(8665, 11275), List(1074, 1936), List(10354, 11426), List(5208, 7839), List(84, 3449), List(8394, 10223), List(2314, 2823), List(2322, 6848), List(2559, 6037), List(11086, 11348), List(9961, 10973), List(67, 11389), List(4888, 9554), List(4743, 6167), List(3838, 3846), List(2703, 2783), List(4512, 10206), List(972, 4261), List(5168, 8790), List(1425, 2516), List(2957, 6433), List(3480, 6208), List(6969, 8401), List(641, 8069), List(5909, 9175), List(421, 5851), List(5537, 7317), List(3011, 6669), List(9048, 10989), List(545, 10990), List(3785, 3811), List(2499, 8214), List(9381, 10640), List(4214, 5422), List(4193, 4545), List(2383, 4067), List(6612, 10988), List(377, 5929), List(5799, 10885), List(3686, 6434), List(484, 3517), List(8505, 10188), List(2177, 2686), List(6175, 7200), List(4585, 11192), List(566, 5801), List(2863, 6397), List(11051, 11488), List(5170, 7681), List(445, 7726), List(3084, 11469), List(283, 2480), List(434, 2649), List(8431, 11178), List(3978, 8713), List(1765, 7064), List(2304, 11479), List(7712, 8458), List(6991, 8698), List(1925, 8450), List(1452, 5786), List(6035, 6789), List(2454, 11423), List(4345, 10577), List(3445, 8600), List(3380, 8205), List(3945, 7425), List(3152, 5345), List(3033, 8097), List(7699, 10855), List(3155, 9026), List(8452, 8618), List(4370, 9294), List(447, 6617), List(4619, 5834), List(4395, 11044), List(5482, 7929), List(3312, 9360), List(6191, 6928), List(167, 6977), List(41, 8558), List(1412, 5956), List(7159, 7319), List(3456, 6106), List(3110, 5469), List(8722, 10549), List(1783, 8343), List(2306, 8118), List(3959, 10110), List(10586, 11263), List(1154, 8549), List(3671, 7199), List(4779, 9879), List(2581, 9262), List(2040, 11567), List(264, 9919), List(6707, 11517), List(2574, 9222), List(6834, 10538), List(1603, 2117), List(1221, 5233), List(949, 7743), List(2602, 4073), List(1886, 8067), List(1034, 3128), List(1404, 1907), List(3895, 4998), List(282, 1049), List(1498, 7204), List(9846, 10298), List(281, 7994), List(749, 3144), List(2096, 2400), List(2299, 9175), List(3558, 5578), List(6753, 7324), List(4074, 10598), List(343, 8091), List(3664, 6004), List(4011, 9495), List(931, 8261), List(4539, 5450), List(236, 7470), List(1340, 6968), List(6534, 9845), List(2606, 6070), List(6121, 7232), List(1432, 9940), List(3251, 7528), List(2946, 6892), List(4131, 11482), List(5091, 9346), List(3971, 10069), List(1514, 5054), List(7369, 9892), List(3664, 6354), List(1420, 4638), List(2538, 8760), List(5027, 8772), List(1634, 7041), List(796, 5942), List(4464, 10352), List(5949, 8818), List(2351, 5901), List(2781, 11147), List(3994, 4953), List(384, 6937), List(4119, 10317), List(1696, 7138), List(992, 8513), List(4424, 7920), List(4753, 6698), List(5234, 6971), List(4322, 9895), List(225, 3093), List(7004, 8050), List(939, 1682), List(4533, 7863), List(4660, 9136), List(2198, 4531), List(7930, 10467), List(1882, 5988), List(4848, 6154), List(2045, 6918), List(8767, 11341), List(5565, 9178), List(1952, 4475), List(4978, 5446), List(6965, 11478), List(2419, 6570), List(1129, 4438), List(387, 3047), List(540, 4043), List(75, 1994), List(9665, 10212), List(10907, 11172), List(1902, 3607), List(4496, 8331), List(6662, 10164), List(3274, 3859), List(8659, 10468), List(7475, 8732), List(7136, 9266), List(7237, 9318), List(1208, 2637), List(1811, 4593), List(3853, 10332), List(274, 5213), List(4914, 6750), List(805, 11265), List(8090, 8446), List(2952, 8130), List(5813, 10754), List(1608, 2729), List(4507, 5837), List(6652, 8291), List(9174, 11449), List(7643, 10386), List(1369, 10260), List(6677, 10041), List(7269, 7701), List(10512, 10619), List(3038, 4871), List(2733, 10651), List(8700, 9314), List(4159, 7756), List(7168, 10278), List(296, 2878), List(4680, 6704), List(46, 1949), List(719, 5455), List(8290, 10355), List(6787, 7553), List(7752, 10679), List(10276, 10500), List(2614, 11117), List(2583, 9552), List(2125, 7920), List(5084, 11079), List(7125, 7548), List(1679, 3669), List(9748, 11512), List(374, 8022), List(5221, 6654), List(2738, 3424), List(3328, 6673), List(9212, 9997), List(2144, 9101), List(3517, 7326), List(3388, 4472), List(5625, 7269), List(1860, 2926), List(3297, 8491), List(2552, 3419), List(2330, 5292), List(675, 1719), List(293, 5589), List(5468, 10668), List(2572, 4825), List(9015, 9833), List(1906, 2520), List(8118, 11537), List(6452, 10057), List(1137, 6853), List(2718, 8033), List(6298, 9590), List(7387, 8056), List(1015, 10805), List(2490, 8583), List(3153, 10590), List(619, 3665), List(567, 3475), List(2492, 8629), List(5701, 6301), List(3648, 8317), List(1566, 5431), List(752, 8890), List(1812, 8870), List(3928, 10586), List(5079, 9930), List(2923, 4651), List(1588, 10293), List(2452, 6197), List(4317, 7136), List(368, 2484), List(3081, 9374), List(6462, 7338), List(4228, 11228), List(4128, 7614), List(5067, 8765), List(1149, 6432), List(4559, 10052), List(2759, 10262), List(6357, 6763), List(4125, 7316), List(2530, 3794), List(3336, 5355), List(823, 3414), List(7318, 9366), List(6858, 11071), List(1228, 11047), List(3931, 10833), List(2907, 6346), List(5641, 7697), List(2905, 9683), List(244, 3737), List(3306, 10781), List(4983, 9417), List(9089, 10266), List(254, 1392), List(4512, 6799), List(837, 1218), List(2368, 3035), List(111, 1114), List(3646, 10068), List(7094, 10008), List(526, 9435), List(7393, 10075), List(5882, 10388), List(3356, 10494), List(1398, 2948), List(9885, 10358), List(11, 7299), List(3813, 7737), List(4682, 8149), List(1855, 4355), List(5837, 9864), List(691, 10441), List(5871, 9448), List(2698, 11433), List(485, 9784), List(886, 7876), List(6605, 9443), List(1001, 8388), List(1350, 6290), List(6769, 7565), List(5267, 11404), List(1256, 5874), List(6385, 10608), List(2622, 2928), List(1340, 4821), List(5286, 8421), List(4389, 10125), List(339, 3169), List(3234, 4623), List(1204, 1927), List(6100, 7591), List(1430, 8097), List(3844, 9278), List(4568, 9309), List(640, 9698), List(6839, 7930), List(11507, 11515), List(5815, 8361), List(5166, 10167), List(9020, 10795), List(6095, 10630), List(8304, 9127), List(4816, 9788), List(5561, 10696), List(6086, 6380), List(1266, 9571), List(1698, 5818), List(760, 7521), List(3964, 4849), List(5113, 9782), List(794, 6351), List(3934, 8390), List(4185, 5757), List(2354, 10818), List(4023, 4675), List(3862, 10207), List(5512, 6266), List(4669, 4823), List(9218, 11160), List(5957, 11046), List(1434, 3678), List(4171, 10962), List(4106, 4151), List(2650, 4171), List(154, 5617), List(3803, 9977), List(3755, 5799), List(1086, 5597), List(7679, 7920), List(2076, 3303), List(4593, 6117), List(7055, 9224), List(1107, 3441), List(3537, 7010), List(5156, 8674), List(385, 1958), List(1876, 10038), List(952, 3503), List(3871, 9515), List(5834, 10989), List(4836, 6225), List(5338, 11539), List(918, 1640), List(8383, 9554), List(1284, 9345), List(4310, 10316), List(263, 2877), List(5201, 8043), List(2959, 7154), List(820, 7898), List(3996, 5430), List(6107, 6802), List(2025, 9730), List(2304, 2729), List(3423, 8951), List(3982, 10635), List(5045, 10132), List(1492, 3982), List(1106, 6198), List(398, 8555), List(4433, 8063), List(2263, 2324), List(731, 4042), List(1101, 2821), List(889, 4628), List(2006, 5142), List(3029, 5240), List(2280, 3432), List(6478, 8034), List(1748, 9987), List(8998, 10365), List(2527, 3309), List(5980, 10009), List(5388, 10097), List(319, 6168), List(4792, 8531), List(2774, 10733), List(343, 3529), List(6468, 9948), List(8462, 10735), List(3825, 8715), List(3209, 4245), List(2116, 8289), List(8150, 8928), List(3045, 9506), List(3580, 5878), List(3941, 9829), List(8342, 9098), List(1926, 5913), List(6303, 8568), List(3228, 7678), List(7900, 11382), List(4094, 7038), List(289, 6302), List(4800, 5739), List(1885, 6262), List(295, 10254), List(3709, 4194), List(7485, 9827), List(6, 2981), List(2530, 2802), List(4936, 8229), List(2837, 7648), List(2436, 6550), List(1123, 9130), List(474, 2268), List(1499, 5445), List(6129, 6294), List(2992, 7936), List(6753, 8373), List(10183, 11117), List(1907, 10343), List(1721, 7709), List(10673, 10752), List(4319, 8445), List(7587, 8949), List(3505, 9625), List(2794, 10553), List(7121, 10839), List(3630, 8573), List(6868, 6983), List(457, 10558), List(2038, 10984), List(516, 1339), List(4839, 7141), List(2067, 10224), List(8634, 10572), List(2815, 11026), List(3278, 6586), List(1685, 3891), List(2880, 9923), List(7768, 11562), List(8573, 10269), List(2275, 10523), List(1093, 3198), List(928, 5605), List(4267, 10483), List(4699, 10894), List(6256, 6762), List(2056, 9661), List(2868, 5375), List(5010, 8312), List(4803, 11217), List(5414, 6675), List(3038, 3342), List(278, 770), List(6012, 7533), List(7565, 10829), List(934, 5770), List(3231, 6366), List(4313, 10077), List(1790, 7448), List(7953, 10187), List(3913, 6171), List(4873, 8199), List(4842, 6634), List(919, 3957), List(3575, 9559), List(1633, 2546), List(7747, 9530), List(7458, 9427), List(1446, 3851), List(1506, 11072), List(5556, 9360), List(9040, 11209), List(10373, 11533), List(581, 4312), List(2539, 5442), List(4994, 6624), List(3000, 4339), List(1601, 4893), List(3953, 5196), List(3462, 8342), List(3935, 8000), List(3493, 7655), List(633, 1469), List(1911, 9256), List(4983, 9848), List(3152, 10745), List(8343, 9187), List(5822, 9637), List(3169, 7716), List(1369, 7926), List(3420, 5083), List(7088, 7241), List(6599, 10460), List(978, 1130), List(249, 11278), List(1548, 7110), List(3259, 4576), List(8732, 9120), List(50, 488), List(853, 2532), List(1413, 7824), List(1048, 2219), List(6139, 10633), List(6612, 11045), List(3866, 8179), List(7006, 10218), List(1283, 5499), List(715, 5981), List(9909, 10035), List(9783, 10862), List(5948, 8032), List(3654, 7707), List(2095, 3842), List(8492, 8505), List(3172, 7209), List(4261, 5675), List(2581, 6741), List(8584, 11477), List(2956, 5864), List(6531, 7077), List(3107, 6033), List(1369, 7121), List(6462, 9192), List(5357, 10947), List(437, 9770), List(1110, 9112), List(5007, 6404), List(2010, 4673), List(2486, 11018), List(3534, 8729), List(2479, 9847), List(1332, 10622), List(5594, 7103), List(2249, 3154), List(6579, 10881), List(3656, 10762), List(4093, 6599), List(4122, 11501), List(6975, 7848), List(7609, 11369), List(2988, 7630), List(3796, 5854), List(558, 1028), List(6972, 7550), List(843, 10057), List(7133, 8407), List(4550, 11389), List(7530, 11261), List(11267, 11304), List(1, 2800), List(7910, 11482), List(718, 8076), List(658, 8025), List(5668, 8341), List(6382, 6930), List(8796, 8865), List(843, 7024), List(1367, 9653), List(1897, 6435), List(6553, 8505), List(3734, 10988), List(2356, 10921), List(8651, 8861), List(2168, 6706), List(1505, 8082), List(82, 4832), List(3155, 4895), List(4032, 11584), List(3941, 5804), List(5742, 8448), List(5305, 6195), List(1418, 3175), List(1108, 8611), List(5240, 10681), List(9818, 11340), List(2874, 5784), List(4238, 8427), List(6857, 8485), List(2494, 3284), List(7194, 11288), List(5422, 7130), List(4859, 7956), List(3587, 10537), List(4984, 6904), List(3733, 10362), List(5698, 6247), List(4602, 6610), List(875, 5003), List(2334, 4500), List(4316, 10188), List(4381, 11337), List(3828, 10599), List(6254, 6879), List(328, 3329), List(2693, 8755), List(1824, 6091), List(6156, 9727), List(1192, 9032), List(5464, 6201), List(1410, 10423), List(949, 3612), List(207, 8637), List(4438, 5805), List(4687, 6509), List(3040, 9213), List(4431, 8017), List(1778, 6096), List(6206, 9440), List(468, 5941), List(10708, 11043), List(6226, 10846), List(2337, 11163), List(2483, 10234), List(560, 5126), List(221, 5660), List(1774, 8956), List(453, 4505), List(1332, 1441), List(8178, 8374), List(1306, 6636), List(120, 8991), List(106, 4397), List(426, 9448), List(7458, 8435), List(385, 7195), List(1355, 3495), List(3311, 10214), List(2201, 10871), List(3191, 8577), List(2708, 5225), List(4671, 6699), List(2656, 5035), List(595, 774), List(4650, 5822), List(1374, 6928), List(6228, 6731), List(2255, 4691), List(1817, 10881), List(4138, 9619), List(10, 7668), List(2178, 6164), List(7004, 10335), List(4792, 11540), List(6106, 8404), List(7462, 10432), List(5158, 9419), List(1108, 2463), List(2202, 11072), List(2536, 10194), List(144, 6328), List(2069, 4312), List(2225, 4825), List(1230, 10158), List(1473, 3500), List(1975, 4650), List(915, 4670), List(1749, 8279), List(3813, 10559), List(318, 10049), List(7011, 9570), List(1027, 2632), List(2988, 7443), List(2740, 3177), List(5890, 10068), List(4768, 9210), List(2490, 6412), List(3615, 6787), List(5046, 8400), List(650, 3059), List(2704, 11067), List(192, 2181), List(961, 1231), List(1368, 9691), List(1557, 5426), List(6280, 8718), List(1364, 5785), List(3850, 8532), List(2910, 7910), List(1423, 6365), List(6498, 7076), List(4119, 4226), List(10882, 10902), List(858, 10528), List(170, 328), List(2033, 3850), List(4567, 8523), List(2905, 10195), List(1850, 11313), List(1077, 2695), List(4676, 8466), List(2258, 9795), List(2222, 3722), List(4307, 10289), List(2313, 3840), List(9214, 9726), List(2567, 11304), List(93, 4430), List(5361, 5536), List(2990, 8963), List(7508, 9571), List(373, 6699), List(4637, 6259), List(4612, 7892), List(8192, 10203), List(596, 2772), List(1691, 10852), List(153, 2202), List(254, 2254), List(2556, 3194), List(3669, 6218), List(3010, 7336), List(3416, 8024), List(675, 10420), List(7655, 9217), List(2729, 11258), List(2015, 6253), List(2646, 9503), List(1459, 1834), List(2384, 7059), List(3655, 11423), List(5311, 11434), List(9041, 10306), List(3905, 11571), List(6608, 10603), List(10446, 10698), List(6, 4030), List(4274, 10125), List(131, 9394), List(5363, 8591), List(511, 3199), List(1316, 4158), List(2709, 9451), List(4056, 5701), List(5644, 8052), List(594, 8337), List(3207, 6695), List(1440, 2881), List(7560, 8956), List(471, 3019), List(4452, 5674), List(1088, 1675), List(5661, 8406), List(191, 10549), List(2022, 9652), List(5723, 9284), List(618, 5698), List(4953, 6599), List(7410, 8608), List(7928, 10291), List(4168, 9298), List(8488, 9167), List(6588, 11425), List(1361, 6910), List(2135, 9714), List(2238, 7183), List(1011, 2367), List(4598, 5095), List(1534, 2142), List(1289, 7973), List(3498, 6470), List(4212, 5059), List(1235, 4704), List(5371, 11434), List(6030, 10316), List(2506, 11320), List(1814, 7794), List(2316, 8944), List(7636, 10240), List(3801, 7410), List(3085, 7240), List(1660, 7327), List(134, 2444), List(5524, 8643), List(1904, 9939), List(5551, 11220), List(8400, 11575), List(993, 7049), List(1712, 6736), List(9499, 10729), List(4017, 11357), List(5380, 8140), List(2489, 9811), List(1527, 11120), List(1706, 6167), List(1551, 9262), List(4455, 8550), List(4049, 7108), List(8252, 8644), List(3381, 3976), List(9399, 10498), List(400, 6885), List(183, 8348), List(1952, 6573), List(2017, 7722), List(1913, 6618), List(4502, 10998), List(9734, 10195), List(641, 6947), List(599, 6721), List(6087, 10045), List(1505, 5480), List(97, 8954), List(128, 4103), List(1688, 8570), List(623, 8246), List(8255, 11170), List(10378, 10647), List(9375, 11201), List(507, 10515), List(3422, 3576), List(8065, 8794), List(10585, 11125), List(2421, 4176), List(9275, 10970), List(1811, 10074), List(214, 3473), List(6535, 9804), List(9333, 11325), List(5152, 7858), List(2569, 5178), List(2005, 8031), List(2282, 10783), List(8579, 10304), List(1469, 11434), List(6574, 9358), List(2413, 7267), List(8287, 9903), List(4328, 4563), List(5539, 11128), List(1103, 7112), List(878, 2298), List(5019, 8618), List(7412, 8922), List(3177, 8602), List(1933, 6815), List(1589, 7005), List(3454, 7190), List(4147, 5656), List(255, 2292), List(2548, 5398), List(4325, 7648), List(340, 8257), List(550, 4869), List(2647, 9541), List(517, 2477), List(4823, 4892), List(280, 6671), List(868, 6841), List(6181, 7720), List(7516, 8871), List(2483, 11015), List(492, 8247), List(767, 10172), List(1349, 2980), List(2374, 9567), List(796, 8658), List(4872, 8167), List(9631, 11116), List(2172, 6400), List(3311, 10645), List(1439, 9289), List(2944, 9131), List(1776, 5676), List(1966, 11435), List(4001, 8059), List(357, 8961), List(1718, 4917), List(2740, 4413), List(787, 7791), List(97, 928), List(635, 3987), List(4494, 4959), List(3647, 10944), List(528, 3366), List(5825, 9374), List(218, 2386), List(2425, 6472), List(7349, 7768), List(10119, 10274), List(4140, 7844), List(2980, 10666), List(6218, 9076), List(939, 7781), List(9743, 10926), List(6009, 8902), List(5598, 7116), List(677, 6091), List(742, 4234), List(951, 1375), List(2415, 6134), List(6582, 7259), List(6680, 7794), List(5035, 5663), List(50, 6343), List(5932, 6588), List(9220, 11531), List(1655, 3413), List(8079, 10623), List(1947, 7197), List(980, 10414), List(4958, 6382), List(1761, 3809), List(8884, 9330), List(7547, 10762), List(3275, 7931), List(2168, 8105), List(200, 6287), List(1289, 4753), List(1566, 3341), List(4771, 9939), List(3305, 9271), List(8881, 9032), List(1338, 4645), List(4646, 8712), List(2249, 10164), List(1463, 10009), List(5912, 7814), List(103, 9737), List(2367, 7941), List(7571, 11506), List(5171, 7779), List(2363, 11205), List(11105, 11220), List(4971, 6967), List(10134, 10531), List(3568, 10031), List(4230, 9184), List(2922, 9856), List(3514, 7516), List(2423, 5971), List(2010, 10528), List(8276, 9982), List(5375, 10211), List(420, 7350), List(1239, 10651), List(5712, 7352), List(4471, 9246), List(3077, 10144), List(419, 7879), List(4211, 7629), List(8978, 11193), List(1843, 8321), List(614, 7566), List(2306, 3881), List(9470, 10901), List(5554, 9395), List(9540, 10142), List(5457, 9462), List(574, 8167), List(7267, 7688), List(412, 10091), List(3836, 5473), List(5916, 7532), List(5604, 5725), List(1213, 4892), List(510, 9845), List(3205, 4852), List(1904, 2531), List(2859, 4215), List(1291, 10410), List(3767, 6053), List(6157, 6840), List(6943, 7749), List(1220, 5282), List(5568, 7199), List(2700, 3404), List(7312, 9309), List(6718, 8570), List(4484, 6044), List(608, 3213), List(129, 7120), List(8701, 11450), List(497, 5826), List(5753, 9581), List(7432, 11296), List(2077, 4529), List(7765, 10193), List(4907, 7840), List(3135, 3682), List(6266, 7133), List(8012, 10824), List(1983, 4113), List(2296, 8774), List(727, 7227), List(2594, 5987), List(5809, 9863), List(2001, 8856), List(1230, 2563), List(5665, 9360), List(7693, 8977), List(7290, 7806), List(8933, 9864), List(308, 1766), List(3898, 8929), List(443, 1402), List(1036, 1916), List(5702, 8838), List(5747, 7857), List(6820, 8042), List(1402, 10375), List(9712, 9979), List(5342, 10023), List(7692, 8725), List(25, 8998), List(5092, 9848), List(2798, 8769), List(5007, 7266), List(299, 10698), List(3595, 6834), List(7304, 11245), List(10356, 10431), List(2908, 10068), List(2224, 6403), List(3688, 6244), List(10009, 10323), List(1845, 3374), List(323, 9190), List(1474, 4370), List(4582, 11035), List(4680, 8160), List(2839, 8369), List(8630, 9250), List(2095, 10315), List(6632, 10973), List(531, 2696), List(3521, 8174), List(6038, 10234), List(1830, 2692), List(3515, 7605), List(929, 6906), List(2522, 3185), List(2205, 7450), List(7303, 9865), List(1336, 4786), List(3640, 6553), List(203, 10185), List(492, 3872), List(7985, 9670), List(3219, 3298), List(271, 1429), List(4433, 7128), List(6406, 9290), List(4028, 9294), List(1108, 9473), List(394, 3714), List(4119, 8658), List(4344, 11220), List(7150, 9973), List(2751, 4361), List(139, 3195), List(4701, 4849), List(4983, 7945), List(2309, 7399), List(3238, 7862), List(1312, 3237), List(4326, 8355), List(5735, 6237), List(778, 8965), List(1999, 3386), List(3201, 11363), List(3803, 10465), List(8502, 9199), List(9214, 11125), List(1984, 7989), List(3816, 9946), List(925, 2195), List(4751, 7945), List(1552, 8709), List(5525, 7339), List(1039, 3236), List(3944, 9542), List(8015, 8707), List(4837, 10348), List(10783, 11140), List(6361, 8742), List(6739, 7382), List(3497, 11482), List(940, 5859), List(4670, 8895), List(408, 5998), List(5418, 6314), List(4198, 9085), List(1291, 10223), List(9992, 10237), List(1654, 7831), List(1241, 10136), List(3075, 8756), List(6812, 8799), List(5664, 6720), List(4390, 6222), List(5314, 9347), List(985, 5228), List(336, 11198), List(1611, 1718), List(6029, 10790), List(924, 4952), List(1357, 10469), List(3783, 6749), List(4285, 7899), List(1919, 9418), List(3041, 3860), List(2693, 8812), List(8336, 9041), List(549, 2796), List(3868, 6298), List(3778, 9788), List(4280, 10938), List(4116, 9783), List(377, 6661), List(4523, 7663), List(4824, 8557), List(296, 11368), List(2924, 4399), List(1375, 8392), List(1468, 5173), List(3553, 7576), List(10060, 10125), List(6230, 7639), List(3645, 10548), List(2241, 10758), List(2091, 7781), List(842, 4896), List(4448, 8428), List(3450, 10080), List(1798, 3772), List(3642, 10250), List(5070, 8182), List(114, 11512), List(25, 5778), List(3750, 9968), List(5245, 9122), List(2568, 2643), List(1260, 9731), List(821, 6651), List(4845, 10134), List(4026, 9085), List(793, 4603), List(2785, 10979), List(8635, 9057), List(920, 3624), List(10128, 11548), List(2561, 2603), List(5293, 9543), List(4429, 7223), List(1122, 6764), List(6765, 6993), List(15, 4686), List(1940, 3424), List(63, 3976), List(9833, 10095), List(8711, 9991), List(2467, 6324), List(2897, 5154), List(7850, 11352), List(2174, 2315), List(773, 8458), List(6289, 7414), List(1270, 2848), List(4974, 6915), List(4855, 9667), List(8831, 11224), List(3232, 11267), List(9417, 11321), List(6256, 8405), List(4840, 7100), List(2813, 8839), List(6841, 8277), List(298, 3819), List(2446, 4292), List(8970, 10228), List(1852, 3553), List(4432, 10099), List(5206, 9493), List(5323, 10078), List(6596, 11105), List(1056, 1175), List(3089, 7552), List(811, 4754), List(8723, 10701), List(9991, 10630), List(2424, 8101), List(5314, 9965), List(2203, 6412), List(10014, 11553), List(8861, 9130), List(8797, 11589), List(5430, 11079), List(1209, 8183), List(3480, 7558), List(4462, 7655), List(2106, 9862), List(6397, 7081), List(5684, 11346), List(1107, 7125), List(3474, 6962), List(3092, 3662), List(7887, 9274), List(253, 5523), List(4967, 9453), List(3618, 9370), List(5557, 6286), List(4858, 8005), List(283, 447), List(10284, 10451), List(4052, 9827), List(7531, 11332), List(1158, 4811), List(4836, 9909), List(4616, 5439), List(349, 2198), List(1684, 10519), List(190, 1387), List(3648, 8431), List(491, 4533), List(3271, 6229), List(8530, 9501), List(625, 11114), List(391, 4302), List(2305, 9267), List(2675, 8046), List(4375, 10638), List(4843, 6542), List(6126, 7503), List(2069, 5792), List(83, 9784), List(5778, 10203), List(5532, 7518), List(2068, 6321), List(4652, 6193), List(545, 5119), List(1376, 5047), List(8726, 9039), List(6637, 9146), List(3600, 4576), List(2753, 9807), List(2593, 8394), List(1127, 1310), List(9815, 10888), List(412, 8912), List(4020, 6101), List(7328, 10168), List(7261, 8946), List(7497, 10943), List(2242, 10796), List(3369, 4828), List(2932, 4827), List(2033, 9868), List(8411, 10317), List(627, 10005), List(1783, 9693), List(6098, 9218), List(8178, 11277), List(5747, 7483), List(7340, 10178), List(459, 11360), List(4287, 10767), List(5190, 5845), List(4536, 11471), List(5745, 10793), List(991, 5182), List(1455, 10012), List(8573, 11025), List(1644, 6501), List(264, 4853), List(5282, 5784), List(3816, 5116), List(894, 10884), List(4521, 6625), List(1754, 10052), List(811, 1989), List(2490, 3704), List(1507, 6388), List(3253, 9325), List(2775, 7071), List(66, 7470), List(494, 10391), List(3054, 9115), List(6851, 9209), List(593, 3200), List(6509, 9445), List(2111, 7441), List(1147, 1507), List(18, 10812), List(3416, 6471), List(6707, 8679), List(888, 9914), List(8573, 10220), List(1606, 9376), List(3968, 8115), List(1761, 9664), List(822, 2097), List(533, 1994), List(7237, 11473), List(2251, 2883), List(4678, 6935), List(6722, 9337), List(1521, 3037), List(9409, 10088), List(3172, 9120), List(1245, 3893), List(407, 6958), List(4825, 9614), List(6201, 7356), List(7932, 9261), List(36, 7954), List(5597, 5929), List(4736, 10296), List(4860, 5636), List(10144, 10658), List(1459, 2509), List(2295, 2781), List(23, 10351), List(5398, 11354), List(2667, 8022), List(1953, 3017), List(8453, 8559), List(4134, 5128), List(2190, 2206), List(6212, 11278), List(1071, 5029), List(8882, 10170), List(570, 7487), List(671, 7539), List(2290, 9203), List(392, 8124), List(2725, 8377), List(6699, 9861), List(5432, 10534), List(1592, 7360), List(4393, 5769), List(878, 2355), List(6237, 9241), List(8591, 10371), List(6476, 11509), List(2273, 4311), List(5570, 9717), List(773, 3278), List(2343, 8433), List(3767, 8875), List(4763, 11314), List(5375, 5462), List(154, 8309), List(2071, 2268), List(8089, 8790), List(4937, 9400), List(18, 9202), List(171, 5280), List(1640, 3213), List(632, 4177), List(2755, 2900), List(7261, 8409), List(7992, 8857), List(201, 7374), List(5557, 8327), List(602, 1302), List(1295, 6184), List(5371, 5693), List(5963, 9769), List(1081, 11328), List(9871, 10633), List(470, 2314), List(3455, 7448), List(4867, 11263), List(932, 4065), List(2217, 2443), List(5324, 8506), List(6382, 11069), List(381, 744), List(4613, 7182), List(8520, 10854), List(2921, 10143), List(2613, 5826), List(9309, 11280), List(8965, 11470), List(773, 8889), List(2022, 9522), List(3140, 8726), List(3021, 10724), List(2543, 4306), List(435, 10779), List(2792, 5010), List(2862, 9913), List(1367, 4343), List(2146, 4081), List(5843, 11141), List(7424, 11567), List(5803, 7578), List(205, 10475), List(1105, 5282), List(543, 9716), List(3864, 7629), List(4182, 6972), List(9973, 10105), List(6482, 11249), List(5109, 6608), List(2901, 5303), List(1531, 4343), List(1632, 11565), List(10216, 10240), List(2680, 2860), List(3490, 8327), List(2406, 4543), List(11265, 11559), List(4106, 4883), List(1161, 8947), List(5411, 10329), List(6008, 8333), List(4454, 11228), List(6326, 6922), List(6849, 8949), List(6405, 11187), List(3676, 8682), List(1176, 9255), List(1207, 11574), List(519, 4784), List(740, 3440), List(1796, 8182), List(4982, 10566), List(110, 3044), List(9793, 10295), List(4870, 9601), List(21, 3726), List(6249, 11024), List(3187, 4734), List(2533, 5442), List(8482, 9915), List(2974, 7070), List(4207, 10196), List(255, 2617), List(7262, 9653), List(1231, 7033), List(3316, 9436), List(8569, 9510), List(1009, 1736), List(4, 2217), List(9649, 10142), List(7255, 9613), List(6472, 8221), List(3919, 4252), List(3056, 11202), List(1062, 8163), List(384, 5067), List(2314, 10565), List(6629, 10090), List(1441, 10411), List(1020, 8691), List(192, 8280), List(4330, 8667), List(2897, 3975), List(1613, 9205), List(5563, 6131), List(1146, 10493), List(3232, 10088), List(3011, 7645), List(7770, 10594), List(4095, 5767), List(2192, 4344), List(8793, 10692), List(822, 7521), List(1073, 11304), List(1591, 6571), List(1847, 8446), List(3841, 5069), List(9868, 10199), List(195, 4390), List(1659, 8395), List(2435, 4452), List(2060, 9493), List(2585, 7429), List(7013, 9275), List(10497, 11124), List(5387, 6440), List(3613, 5619), List(2178, 7270), List(3241, 6013), List(1393, 2799), List(5782, 6969), List(10900, 11514), List(5721, 8945), List(2931, 8416), List(1605, 4375), List(8748, 10518), List(4539, 11419), List(7423, 9331), List(1179, 5664), List(7865, 10430), List(4625, 11193), List(6650, 7129), List(184, 417), List(9979, 11319), List(7148, 10789), List(512, 5386), List(611, 9529), List(3787, 7061), List(760, 8871), List(426, 9749), List(5219, 11528), List(2936, 11392), List(8036, 8218), List(3526, 5973), List(2896, 5577), List(2834, 3945), List(855, 2692), List(3498, 3925), List(385, 10879), List(509, 2055), List(6264, 9695), List(7633, 10430), List(2220, 5937), List(2342, 7620), List(4670, 7529), List(2400, 11008), List(1182, 4026), List(7529, 9326), List(461, 8430), List(1084, 1239), List(3119, 10695), List(1302, 9046), List(2703, 8565), List(8819, 11458), List(2869, 3350), List(1434, 8411), List(1773, 8631), List(5566, 11235), List(4853, 9084), List(1837, 3139), List(2893, 11291), List(4352, 10788), List(6248, 11040), List(5035, 8566), List(6253, 9132), List(3224, 10115), List(454, 7609), List(7152, 7474), List(2510, 5110), List(770, 9535), List(8273, 10359), List(104, 9482), List(6265, 9142), List(3632, 8597), List(84, 5043), List(3905, 10449), List(3719, 4809), List(7074, 10974), List(128, 4591), List(2414, 4998), List(5917, 11061), List(6442, 7499), List(193, 2734), List(1223, 6255), List(4703, 9116), List(6253, 7977), List(8145, 10739), List(4547, 7822), List(7556, 10344), List(5880, 8900), List(4075, 8012), List(467, 4407), List(9993, 10920), List(7619, 8414), List(3727, 5050), List(3172, 9901), List(1923, 7770), List(672, 11228), List(710, 1132), List(4913, 6078), List(2578, 9162), List(1824, 7010), List(425, 7564), List(7242, 9595), List(4219, 8141), List(478, 4946), List(2594, 6662), List(6310, 8080), List(8108, 11207), List(5959, 7099), List(7675, 11325), List(1164, 11286), List(9655, 9770), List(3394, 4244), List(1773, 6671), List(3928, 7561), List(4169, 10656), List(3298, 7165), List(8786, 10489), List(1441, 6841), List(3249, 11410), List(2611, 10399), List(1336, 9299), List(7198, 8892), List(496, 5121), List(3137, 9691), List(3830, 10409), List(3388, 7058), List(4386, 6160), List(3476, 3495), List(346, 2144), List(4826, 6432), List(3236, 3254), List(1328, 2241), List(1887, 3925), List(4287, 5400), List(6322, 8440), List(4223, 7859), List(1143, 6625), List(5571, 9969), List(298, 2103), List(531, 10942), List(8668, 8928), List(2231, 4866), List(5503, 8522), List(680, 8032), List(5905, 6058), List(645, 8977), List(1295, 6615), List(3506, 5185), List(455, 8853), List(2162, 6200), List(7444, 11176), List(8791, 10432), List(231, 6893), List(4530, 8891), List(3580, 6073), List(3062, 5144), List(2151, 10922), List(2588, 5261), List(1469, 8084), List(4666, 10657), List(3298, 6360), List(1304, 4075), List(10703, 10813), List(6472, 7229), List(2335, 10450), List(9465, 9972), List(10053, 10142), List(5261, 11217), List(1899, 11051), List(2737, 5734), List(5792, 10853), List(7342, 10468), List(3479, 5590), List(7150, 7265), List(2912, 6674), List(5659, 8230), List(4959, 7095), List(2194, 4179), List(2655, 5328), List(11285, 11518), List(3374, 4261), List(2818, 7012), List(444, 10168), List(8195, 8842), List(8043, 11454), List(2871, 10056), List(9574, 10265), List(101, 1134), List(8163, 9304), List(1845, 3244), List(5323, 10940), List(1560, 10430), List(1811, 7797), List(1897, 6817), List(2175, 8259), List(1184, 4666), List(7661, 8504), List(2298, 10544), List(775, 9342), List(5503, 6562), List(530, 9511), List(6065, 6265), List(8738, 8838), List(7556, 7929), List(2172, 4928), List(2196, 9486), List(7120, 10782), List(1415, 2505), List(706, 4260), List(5432, 11233), List(3014, 6146), List(2319, 5355), List(5987, 9765), List(4094, 6778), List(2972, 6674), List(5021, 7168), List(726, 8295), List(4399, 10797), List(3308, 5842), List(825, 6022), List(409, 482), List(5990, 10413), List(818, 4851), List(701, 10682), List(659, 4040), List(6109, 11044), List(4889, 7399), List(1522, 6889), List(7411, 10557), List(1802, 9158), List(2404, 7506), List(1246, 11155), List(4976, 10027), List(3916, 10047), List(6631, 7184), List(2491, 3718), List(3707, 9873), List(8306, 11409), List(6224, 6271), List(10475, 10507), List(1149, 10441), List(6715, 8760), List(1489, 11263), List(1353, 7238), List(1639, 11207), List(1018, 2229), List(2378, 11546), List(475, 4461), List(845, 3240), List(1218, 1536), List(6006, 10141), List(2468, 7275), List(4525, 5378), List(3155, 11588), List(9963, 10867), List(2955, 10776), List(1988, 6823), List(498, 5761), List(4820, 8709), List(4573, 8051), List(9767, 10928), List(182, 802), List(7246, 10624), List(4476, 8118), List(3269, 8842), List(5277, 9335), List(1760, 5094), List(679, 11407), List(2164, 3457), List(3323, 9078), List(2219, 3164), List(1291, 5555), List(1115, 7773), List(2481, 10489), List(7617, 9978), List(1882, 10160), List(2505, 2969), List(5717, 6574), List(2191, 10915), List(598, 1804), List(3056, 9673), List(3397, 3550), List(638, 4586), List(5149, 10439), List(4524, 8135), List(5291, 6358), List(10898, 11094), List(5760, 9280), List(10054, 10180), List(4106, 9315), List(4171, 9710), List(1480, 5053), List(2391, 10572), List(3387, 8847), List(2919, 6527), List(7623, 9769), List(1021, 10366), List(6967, 8152), List(7550, 10984), List(6935, 9368), List(6276, 10486), List(7212, 7956), List(5283, 5312), List(6669, 10188), List(2536, 7893), List(4368, 5686), List(4552, 8247), List(595, 3734), List(2678, 10228), List(7915, 9769), List(3995, 10773), List(2222, 8642), List(221, 10848), List(536, 3504), List(1716, 3586), List(6039, 10142), List(8811, 10442), List(6724, 7212), List(3326, 10799), List(5041, 8007), List(10519, 10643), List(3640, 6236), List(2117, 11450), List(308, 7410), List(5999, 11093), List(1228, 5875), List(1250, 8108), List(4498, 7206), List(1045, 4670), List(6671, 9456), List(107, 6373), List(6834, 11140), List(6913, 9743), List(4583, 6755), List(2752, 7652), List(1871, 9889), List(7571, 10652), List(4142, 9264), List(5520, 7833), List(4553, 8044), List(8880, 11336), List(3708, 5774), List(125, 3919), List(1621, 10091), List(2397, 6148), List(1772, 10260), List(2890, 9464), List(2898, 7827), List(6781, 6941), List(2758, 10476), List(6501, 8055), List(5649, 8778), List(236, 11455), List(4119, 4153), List(5022, 5647), List(142, 4623), List(6792, 7480), List(3815, 7125), List(3709, 9358), List(259, 2175), List(561, 6677), List(5636, 7388), List(1152, 6364), List(1333, 2992), List(2114, 2803), List(8192, 10130), List(5935, 8209), List(2237, 7340), List(5043, 10257), List(6748, 6777), List(9514, 10295), List(3470, 8187), List(6561, 7301), List(3970, 6258), List(9078, 10115), List(986, 11148), List(417, 2360), List(7201, 7661), List(2192, 10199), List(1633, 2099), List(6714, 8297), List(3438, 6397), List(6247, 8831), List(1047, 6139), List(9223, 9715), List(1291, 8751), List(1162, 10815), List(668, 3110), List(636, 7736), List(1875, 5769), List(3652, 8019), List(200, 4173), List(938, 8074), List(8961, 10654), List(6070, 10073), List(867, 9362), List(1624, 5369), List(1123, 7073), List(4669, 9800), List(7258, 7764), List(2955, 9784), List(9426, 10424), List(548, 4132), List(7249, 10684), List(7968, 9617), List(7938, 10906), List(712, 3008), List(8805, 10491), List(3105, 3312), List(7297, 10351), List(4867, 10165), List(9349, 10362), List(5529, 8564), List(2318, 8567), List(855, 11580), List(4088, 9646), List(2434, 9681), List(355, 10476), List(1651, 6037), List(7224, 11162), List(6532, 7636), List(8407, 8509), List(2059, 10154), List(3, 6237), List(2303, 10514), List(3053, 5350), List(1463, 7090), List(4071, 11520), List(3608, 9544), List(5845, 10089), List(6927, 7384), List(5373, 10279), List(1956, 3990), List(1859, 10473), List(6530, 7159), List(738, 6807), List(8879, 11328), List(3655, 9740), List(8080, 9403), List(3130, 6886), List(10098, 10584), List(4015, 7050), List(7196, 9090), List(3422, 9919), List(841, 9564), List(6660, 8329), List(6107, 7591), List(1315, 2250), List(126, 10750), List(4670, 6163), List(3119, 9329), List(4604, 7795), List(1889, 4242), List(1157, 4293), List(832, 8697), List(8175, 11518), List(4813, 4936), List(9699, 9912), List(4759, 8083), List(9074, 9860), List(667, 10323), List(2510, 10160), List(2937, 3057), List(3136, 6650), List(3779, 6527), List(7767, 10353), List(7573, 10487), List(3117, 5095), List(1025, 1521), List(5955, 6015), List(1461, 10719), List(248, 8245), List(10115, 10887), List(3215, 11265), List(6257, 10517), List(2988, 6378), List(8249, 10477), List(1143, 2681), List(3577, 9402), List(2885, 8128), List(1933, 10125), List(2955, 7369), List(6815, 11195), List(4687, 5712), List(5805, 11332), List(1204, 6717), List(9289, 10929), List(1047, 2569), List(5623, 6565), List(640, 1656), List(8143, 8896), List(3193, 6379), List(2914, 6964), List(1968, 8806), List(1508, 7101), List(2005, 7153), List(2469, 9731), List(2345, 7975), List(6765, 7294), List(3019, 10171), List(104, 10694), List(1095, 5619), List(1803, 6645), List(6073, 7151), List(8579, 11304), List(833, 7312), List(29, 11459), List(215, 2015), List(6925, 11339), List(987, 11162), List(4543, 8161), List(1668, 7359), List(5594, 10307), List(2796, 11415), List(3546, 6251), List(79, 1373), List(459, 1594), List(2410, 7215), List(6183, 6915), List(4744, 11076), List(10470, 10808), List(1356, 2519), List(1724, 7641), List(2536, 7519), List(253, 6629), List(7671, 9035), List(7855, 10842), List(10558, 10628), List(2624, 6585), List(2656, 4588), List(4767, 6714), List(3963, 10861), List(8464, 8856), List(372, 10643), List(7373, 8065), List(5046, 8758), List(1157, 11327), List(5233, 10836), List(8215, 9283), List(4504, 4799), List(6656, 8424), List(3987, 5970), List(4357, 4749), List(5009, 9630), List(4004, 9357), List(7711, 11443), List(6868, 10000), List(4041, 6206), List(858, 1087), List(3786, 4933), List(5244, 11375), List(1574, 6892), List(982, 9232), List(638, 2252), List(3850, 5857), List(3972, 7540), List(1914, 6960), List(3430, 6991), List(8815, 9436), List(2212, 9808), List(4483, 9183), List(2654, 3737), List(7325, 7593), List(4295, 9132), List(291, 5527), List(9674, 11008), List(7315, 9534), List(2523, 8357), List(3330, 3727), List(814, 4521), List(437, 1565), List(51, 7945), List(3103, 10137), List(4037, 10944), List(7588, 8353), List(3331, 9964), List(2043, 2243), List(24, 3089), List(2515, 11098), List(2971, 11149), List(4789, 9990), List(3502, 11539), List(1358, 4769), List(1982, 7602), List(8052, 10150), List(4910, 11448), List(223, 2925), List(9441, 11537), List(1540, 9886), List(4926, 8948), List(282, 9921), List(1218, 7391), List(3300, 3861), List(7637, 7841), List(3344, 10549), List(3549, 6817), List(3647, 8106), List(595, 8166), List(8782, 9622), List(5358, 7824), List(1151, 9552), List(2398, 8604), List(2307, 2824), List(6038, 10966), List(1088, 2033), List(652, 4886), List(779, 11077), List(8920, 11434), List(3158, 6787), List(979, 10384), List(6154, 9047), List(1362, 3706), List(2035, 6458), List(2403, 5164), List(6208, 9283), List(2283, 9943), List(294, 7248), List(9137, 10321), List(6298, 11428), List(5740, 10346), List(8725, 9064), List(7326, 9618), List(8091, 11178), List(7571, 8668), List(4861, 9596), List(121, 10861), List(5660, 8488), List(5250, 10310), List(4871, 7281), List(4721, 9966), List(7959, 8376), List(5779, 9119), List(1101, 4846), List(3685, 8882), List(5589, 6743), List(5778, 8894), List(2473, 2846), List(4240, 6660), List(7142, 9285), List(222, 11293), List(330, 1936), List(2966, 6162), List(561, 4343), List(882, 6613), List(5198, 5582), List(3183, 8082), List(7563, 10254), List(1306, 11263), List(1903, 2851), List(5793, 10306), List(9606, 10933), List(6250, 7549), List(558, 10811), List(10821, 11201), List(2791, 6696), List(1180, 9811), List(3162, 9083), List(6400, 7493), List(6806, 8181), List(1145, 10756), List(1331, 3564), List(8077, 8381), List(1198, 10390), List(5121, 6651), List(1234, 10047), List(5752, 9901), List(2261, 7635), List(710, 10801), List(1724, 3266), List(3404, 7835), List(5458, 8673), List(7975, 11487), List(230, 10349), List(5175, 10270), List(4774, 9926), List(3396, 4941), List(1094, 9636), List(968, 4801), List(3734, 9817), List(3168, 11126), List(584, 1428), List(9398, 9425), List(1081, 1480), List(767, 10180), List(834, 4986), List(2241, 8457), List(8454, 10559), List(2421, 7112), List(7061, 8649), List(2422, 4304), List(460, 5684), List(2162, 2687), List(1513, 8657), List(1974, 2636), List(6855, 7268), List(8479, 9276), List(2844, 8908), List(5337, 6410), List(3744, 10885), List(7916, 10102), List(3475, 5742), List(3564, 9197), List(2602, 6342), List(1335, 2127), List(6915, 7669), List(3178, 8380), List(3052, 9961), List(4724, 7499), List(8151, 8814), List(2666, 9925), List(4419, 7617), List(212, 10843), List(824, 3493), List(832, 7518), List(3633, 5927), List(964, 9889), List(4383, 10589), List(1699, 2939), List(4620, 10532), List(550, 7805), List(6178, 7002), List(3155, 6302), List(7559, 11504), List(5405, 11216), List(5333, 5486), List(2793, 11548), List(9202, 11310), List(3603, 10599), List(2342, 6953), List(922, 6630), List(1543, 2776), List(352, 11203), List(4958, 6740), List(3430, 5194), List(933, 3786), List(1063, 9494), List(7539, 10478), List(4917, 10122), List(4920, 9639), List(254, 465), List(2247, 4033), List(862, 2041), List(8184, 10401), List(5481, 9117), List(219, 11209), List(1031, 6923), List(2669, 8637), List(3412, 6466), List(5466, 7304), List(3379, 4074), List(4996, 8321), List(7463, 7608), List(5663, 7818), List(794, 6229), List(1795, 9012), List(6965, 7331), List(1762, 6620), List(2097, 2180), List(194, 5675), List(2745, 7319), List(5112, 8654), List(7333, 8666), List(562, 7010), List(598, 6667), List(4827, 9424), List(5892, 9748), List(66, 9812), List(1253, 4649), List(780, 1985), List(8930, 10756), List(3892, 8392), List(848, 6815), List(755, 4372), List(8783, 11460), List(1549, 4418), List(595, 9752), List(4759, 4944), List(3733, 10964), List(1523, 6580), List(1203, 7164), List(5255, 6279), List(1946, 4993), List(490, 9177), List(5130, 10714), List(2601, 6385), List(791, 5907), List(6895, 7285), List(4995, 10297), List(2340, 5297), List(1667, 6709), List(2570, 8203), List(5095, 10878), List(3459, 11519), List(3161, 8644), List(3084, 5980), List(4398, 9260), List(509, 9577), List(3750, 5252), List(8409, 11003), List(4610, 10082), List(4419, 11268), List(7409, 9576), List(3400, 4873), List(5208, 5278), List(9468, 10758), List(7123, 8990), List(476, 10568), List(11388, 11404), List(4662, 7239), List(5720, 6392), List(8084, 8210), List(2927, 8598), List(864, 3510), List(1304, 7946), List(4139, 4431), List(1023, 7704), List(8805, 11353), List(7277, 9807), List(1305, 4384), List(3251, 3999), List(7146, 11044), List(3317, 11412), List(115, 9249), List(8107, 10264), List(3322, 6094), List(4447, 5715), List(6517, 7086), List(6522, 8184), List(5847, 8769), List(1042, 2469), List(3624, 5678), List(487, 8074), List(1108, 10636), List(2528, 3789), List(10106, 10614), List(2570, 7398), List(3117, 7567), List(2181, 10097), List(10162, 10923), List(981, 7828), List(3084, 5175), List(6012, 9021), List(5867, 6388), List(4205, 8060), List(8415, 10767), List(8322, 8324), List(2463, 5996), List(2831, 10364), List(3242, 9898), List(7937, 11142), List(2987, 8625), List(3142, 6284), List(2028, 9451), List(239, 3434), List(8937, 9536), List(5066, 7049), List(7832, 10567), List(2978, 10010), List(6089, 7147), List(4540, 11140), List(3042, 5299), List(3255, 6346), List(8029, 11081), List(4197, 7768), List(6487, 11357), List(9045, 10008), List(3656, 10827), List(829, 7033), List(3501, 6752), List(796, 4641), List(6623, 7431), List(2377, 3569), List(4921, 10458), List(6232, 7051), List(5650, 10079), List(3862, 7670), List(603, 8383), List(8158, 8643), List(1991, 9168), List(4140, 6860), List(136, 2501), List(1404, 9600), List(8680, 11199), List(1221, 9893), List(1489, 4985), List(3426, 4484), List(5131, 7420), List(2541, 9985), List(1864, 7491), List(2387, 9518), List(367, 1094), List(1153, 2003), List(4138, 6383), List(4191, 9427), List(2820, 6367), List(2107, 10632), List(4686, 9406), List(5844, 9921), List(4651, 11105), List(3408, 5756), List(574, 11371), List(4627, 9176), List(706, 910), List(10095, 11124), List(759, 10370), List(1597, 11469), List(74, 10267), List(2560, 7352), List(4184, 8606), List(3315, 6696), List(3864, 6938), List(287, 4898), List(7998, 10589), List(4584, 9479), List(5957, 7704), List(6227, 11537), List(501, 8799), List(6915, 8905), List(1750, 5268), List(8935, 10913), List(9031, 11375), List(877, 5114), List(2250, 3339), List(8252, 10856), List(1616, 5453), List(5287, 7128), List(3707, 9556), List(9462, 10780), List(8340, 9922), List(799, 6362), List(952, 3194), List(4596, 6456), List(6342, 10147), List(8465, 8870), List(3873, 10033), List(3007, 7640), List(3969, 4079), List(8455, 11565), List(1292, 6645), List(2663, 4043), List(4676, 11296), List(3970, 10316), List(104, 8173), List(1747, 7979), List(1946, 11572), List(263, 5951), List(8597, 10867), List(4142, 8329), List(1961, 2431), List(1926, 9792), List(5761, 6206), List(2175, 6332), List(9083, 9979), List(2366, 3648), List(399, 11100), List(9017, 9359), List(4787, 9383), List(4842, 9090), List(1759, 1923), List(203, 11161), List(6333, 11508), List(3025, 4408), List(9108, 11325), List(1352, 6645), List(1345, 5474), List(7881, 10673), List(4948, 5702), List(3031, 5327), List(6629, 8244), List(2859, 5809), List(9555, 11263), List(185, 3011), List(939, 4382), List(3236, 4978), List(6875, 8650), List(2975, 3890), List(712, 2878), List(4347, 10558), List(400, 7487), List(6491, 7906), List(801, 1415), List(4376, 9798), List(3854, 10625), List(4035, 7253), List(3625, 10573), List(113, 1014), List(4208, 4737), List(2132, 9213), List(3596, 9054), List(1536, 7647), List(5746, 10354), List(3176, 3772), List(4399, 4682), List(5514, 10785), List(6042, 6740), List(1503, 6009), List(5614, 11366), List(1469, 9808), List(404, 3822), List(2836, 9716), List(992, 3992), List(5942, 6509), List(5329, 7972), List(2423, 5605), List(1301, 4747), List(251, 6209), List(7379, 11320), List(903, 8084), List(5259, 9862), List(9118, 11588), List(835, 8889), List(1425, 10640), List(763, 907), List(6751, 8718), List(3129, 6935), List(3659, 3717), List(2910, 8325), List(3947, 5847), List(6400, 11120), List(3090, 6980), List(920, 5405), List(4410, 11206), List(4646, 7541), List(2118, 10230), List(2252, 7012), List(4215, 8486), List(2785, 9727), List(3991, 8778), List(5261, 5370), List(5708, 6813), List(902, 3294), List(5666, 6587), List(0, 11070), List(1557, 4686), List(1935, 8244), List(9125, 10823), List(4577, 11504), List(7065, 9416), List(2051, 5194), List(564, 10065), List(4843, 9933), List(8743, 10906), List(6150, 9790), List(7682, 11455), List(8725, 9576), List(700, 5415), List(4098, 5992), List(1085, 5980), List(2060, 2654), List(1412, 7314), List(5307, 8697), List(6984, 7333), List(3191, 9610), List(1224, 11400), List(808, 2854), List(2123, 6736), List(4972, 7845), List(4571, 7501), List(125, 2797), List(10054, 10481), List(7841, 8078), List(4639, 5915), List(4470, 10078), List(20, 7884), List(273, 6078), List(3883, 9729), List(2732, 8133), List(3749, 7285), List(7209, 8740), List(3260, 10504), List(3039, 8815), List(3994, 10499), List(6487, 8755), List(702, 11072), List(2065, 2193), List(517, 9040), List(3740, 6418), List(5928, 10454), List(2810, 5730), List(134, 9275), List(3706, 10971), List(6672, 11137), List(841, 10857), List(3516, 10093), List(2269, 2373), List(6066, 8883), List(899, 8583), List(3915, 8112), List(1156, 9148), List(4081, 7061), List(1359, 9507), List(5760, 8776), List(5161, 9945), List(6372, 9340), List(7251, 10440), List(2726, 2999), List(6841, 8098), List(544, 7079), List(1051, 8573), List(8336, 10635), List(10380, 10785), List(5302, 9022), List(6489, 11029), List(4529, 6820), List(4615, 8092), List(9627, 9989), List(4212, 4669), List(3576, 4458), List(3403, 6193), List(8034, 9896), List(9275, 11385), List(466, 1480), List(5531, 7919), List(2857, 7373), List(5324, 10824), List(1391, 6705), List(7122, 7535), List(5711, 6574), List(391, 5278), List(6777, 9752), List(11032, 11478), List(1693, 4791), List(6613, 8597), List(4474, 9341), List(5988, 8545), List(5463, 9855), List(8895, 11514), List(6987, 10501), List(131, 628), List(5901, 9300), List(10533, 10976), List(2964, 7620), List(16, 6505), List(854, 1188), List(2376, 10833), List(2130, 7394), List(3183, 3951), List(4120, 10691), List(6634, 9824), List(4459, 10911), List(2736, 5891), List(738, 1952), List(333, 4118), List(9809, 10514), List(2059, 9032), List(10736, 10904), List(4876, 5722), List(1956, 5901), List(4788, 9285), List(7188, 11514), List(10600, 11043), List(9483, 11283), List(2205, 2441), List(11480, 11587), List(10850, 11191), List(10891, 11192), List(867, 10818), List(3140, 6856), List(1423, 2405), List(1077, 8184), List(7338, 11458), List(1408, 4002), List(1416, 11033), List(2481, 4187), List(4840, 5661), List(6176, 10420), List(257, 8041), List(9496, 11114), List(4513, 6205), List(3334, 9731), List(7253, 10754), List(5771, 9553), List(2487, 4382), List(5040, 9105), List(2363, 2626), List(2397, 7872), List(188, 9375), List(778, 3956), List(6686, 8428), List(5540, 7176), List(9244, 11243), List(992, 8611), List(7468, 9595), List(2265, 8884), List(928, 11070), List(2275, 9572), List(839, 10998), List(392, 3139), List(1450, 6456), List(4404, 5107), List(859, 5988), List(5341, 6185), List(4692, 5739), List(948, 4525), List(5810, 9107), List(1978, 5794), List(1572, 5106), List(6174, 10323), List(2564, 5137), List(1473, 10762), List(8942, 9750), List(1253, 2128), List(1626, 4588), List(2376, 5840), List(3121, 4496), List(2434, 9982), List(3900, 4234), List(3998, 4769), List(1475, 8556), List(9401, 11203), List(9440, 11131), List(992, 10839), List(1690, 8895), List(1867, 3869), List(9077, 11264), List(6152, 11099), List(6344, 7105), List(2043, 3536), List(313, 10901), List(797, 6584), List(6779, 11197), List(3293, 8521), List(2352, 4291), List(149, 3330), List(897, 7919), List(6205, 7700), List(2664, 5317), List(2354, 10753), List(331, 2812), List(3260, 9512), List(2665, 5919), List(3411, 9681), List(2227, 5693), List(4594, 7782), List(1727, 11005), List(2847, 11036), List(4366, 8332), List(593, 2216), List(536, 5846), List(619, 1185), List(2750, 11103), List(319, 1647), List(163, 353), List(5412, 9353), List(7292, 9072), List(4200, 9733), List(1922, 6935), List(3606, 8994), List(7463, 9893), List(3199, 11087), List(3856, 6890), List(52, 5625), List(4977, 9775), List(1543, 7289), List(3566, 9568), List(1260, 11138), List(737, 2695), List(787, 2058), List(138, 3864), List(4403, 10442), List(7204, 8851), List(2254, 6334), List(14, 6272), List(1254, 10569), List(4557, 7876), List(11, 5974), List(3006, 11042), List(1416, 8618), List(845, 9583), List(6822, 8934), List(8775, 9720), List(2676, 7905), List(4828, 11530), List(1132, 5826), List(8589, 9715), List(7345, 7928), List(3890, 10981), List(5763, 9529), List(7248, 7995), List(6657, 7527), List(6531, 8354), List(1369, 8398), List(645, 1951), List(614, 2638), List(1080, 1879), List(140, 6919), List(6399, 10120), List(3699, 8353), List(3035, 8373), List(5251, 8041), List(3902, 7958), List(5433, 9775), List(3700, 11207), List(2787, 9025), List(7308, 8396), List(2224, 3435), List(6623, 8293), List(6520, 11578), List(4005, 8810), List(856, 8937), List(2616, 9328), List(9876, 11148), List(5111, 7630), List(10266, 10579), List(5942, 7558), List(2843, 5520), List(407, 2136), List(2545, 7583), List(7352, 8294), List(4050, 8179), List(1963, 4949), List(745, 1377), List(7654, 8632), List(1489, 9230), List(4816, 10341), List(2978, 10067), List(2362, 5597), List(6969, 11158), List(1761, 3687), List(4911, 6414), List(1981, 5905), List(4104, 5382), List(5907, 8853), List(1862, 10909), List(2911, 5812), List(6545, 8386), List(8112, 9860), List(3501, 6809), List(8354, 9393), List(2056, 10401), List(4738, 10808), List(406, 756), List(5209, 10393), List(3335, 8210), List(8593, 8628), List(2161, 11326), List(2347, 4134), List(344, 9677), List(3124, 7209), List(1837, 8758), List(8755, 10087), List(498, 695), List(7839, 9859), List(3675, 8251), List(5566, 7405), List(7563, 7709), List(239, 2686), List(56, 3733), List(3049, 7974), List(298, 9682), List(4410, 4684), List(7436, 9065), List(2290, 9642), List(301, 2783), List(4845, 8776), List(299, 6120), List(4344, 10480), List(3943, 10136), List(4934, 7313), List(7124, 8012), List(18, 10796), List(8615, 9676), List(6242, 10024), List(2653, 4217), List(7267, 10949), List(7736, 9707), List(4026, 8077), List(1999, 9062), List(6173, 9106), List(4117, 7441), List(9194, 9733), List(4547, 7025), List(8072, 8875), List(1531, 10125), List(9994, 10725), List(11078, 11099), List(778, 8575), List(1645, 3996), List(8393, 10394), List(769, 7331), List(4036, 8391), List(3788, 4125), List(902, 10304), List(9610, 10735), List(1819, 9252), List(3475, 9263), List(3757, 5943), List(2909, 4156), List(3406, 4962), List(2750, 9761), List(5711, 9583), List(3598, 11548), List(2973, 11496), List(1791, 4171), List(6266, 7361), List(8, 7768), List(2069, 9777), List(5621, 10040), List(281, 952), List(8725, 10170), List(4108, 8802), List(3736, 6944), List(905, 6414), List(7343, 11078), List(2616, 10296), List(6377, 10733), List(5508, 8069), List(460, 5017), List(6654, 7069), List(6344, 8341), List(1640, 9263), List(10418, 11187), List(1832, 9433), List(3472, 5558), List(2668, 3289), List(9199, 11150), List(2263, 5455), List(4625, 11364), List(5895, 7956), List(724, 3750), List(1604, 9956), List(2134, 6738), List(2783, 4932), List(10853, 11465), List(478, 10110), List(4903, 9773), List(9872, 10088), List(5362, 7843), List(2874, 7679), List(2559, 8607), List(4216, 6591), List(1525, 8350), List(2710, 8776), List(623, 9710), List(2742, 5281), List(5192, 6119), List(1551, 6538), List(2932, 11040), List(4391, 8285), List(7529, 9497), List(8747, 10063), List(3661, 4275), List(3953, 8059), List(2547, 7442), List(1745, 6754), List(1554, 3022), List(1829, 11363), List(1421, 7596), List(8803, 10345), List(2237, 9845), List(4066, 8875), List(2161, 4373), List(2911, 5625), List(7854, 11135), List(9232, 9704), List(7823, 9570), List(8948, 9945), List(3377, 4866), List(2542, 7448), List(417, 1482), List(3775, 11328), List(4921, 10328), List(1275, 3233), List(5118, 10842), List(3181, 4173), List(3680, 5806), List(3585, 8952), List(4364, 7936), List(4923, 9620), List(9255, 11004), List(3674, 10872), List(1427, 9639), List(2122, 4768), List(2979, 10081), List(2055, 3546), List(5694, 6464), List(716, 8315), List(88, 4582), List(3458, 9527), List(2135, 8413), List(6661, 8882), List(10233, 10578), List(5904, 7213), List(5136, 11017), List(3858, 3984), List(5155, 8815), List(965, 8238), List(10633, 11451), List(5585, 8399), List(2957, 8198), List(961, 5086), List(333, 5517), List(7805, 10438), List(11031, 11497), List(6702, 8132), List(9539, 9608), List(2543, 6868), List(1349, 10860), List(4568, 9220), List(7794, 10279), List(4962, 6141), List(2308, 6247), List(1690, 7366), List(9291, 9479), List(4210, 9697), List(696, 3475), List(2308, 9630), List(2750, 10729), List(9097, 9613), List(95, 1565), List(504, 6688), List(5008, 8364), List(4767, 6023), List(3302, 8209), List(9236, 10896), List(6655, 11295), List(1765, 8829), List(5136, 10212), List(1569, 8136), List(1381, 8839), List(483, 1273), List(2348, 5622), List(2219, 3522), List(5343, 11444), List(4863, 7609), List(6210, 6865), List(2915, 7921), List(9229, 10075), List(7080, 10131), List(2216, 3224), List(4524, 11526), List(4806, 10458), List(2559, 9225), List(945, 6407), List(6134, 11192), List(1158, 7454), List(8501, 10275), List(342, 3670), List(371, 9326), List(1343, 6453), List(6698, 10187), List(2734, 10919), List(3203, 9677), List(1084, 5411), List(6749, 9371), List(3480, 9396), List(3941, 10545), List(1355, 9846), List(801, 2090), List(3695, 7106), List(3724, 5592), List(6272, 9971), List(1261, 9430), List(3498, 3559), List(1765, 4991), List(2479, 10750), List(4867, 10710), List(3314, 10797), List(4453, 8626), List(3742, 9554), List(5524, 5732), List(4330, 9724), List(2181, 9780), List(5429, 8878), List(8569, 10917), List(2152, 4878), List(3992, 6696), List(6323, 6876), List(6199, 8530), List(4354, 11249), List(870, 2984), List(10083, 11252), List(5759, 7477), List(3911, 4263), List(2983, 10818), List(4628, 7287), List(493, 6417), List(9049, 9460), List(1150, 2220), List(1571, 10386), List(7558, 11179), List(1416, 2901), List(2047, 10315), List(9444, 9989), List(7428, 8854), List(270, 11448), List(3004, 5629), List(6455, 11502), List(1541, 5232), List(223, 10878), List(2635, 3288), List(4149, 7410), List(4496, 10901), List(10129, 10442), List(1469, 6295), List(879, 3046), List(6109, 7832), List(10180, 10380), List(4731, 6230), List(182, 4811), List(5999, 6913), List(2549, 10310), List(9586, 9641), List(4732, 9838), List(1315, 9211), List(6721, 10281), List(3330, 4459), List(1157, 1455), List(0, 8712), List(6029, 8253), List(6870, 8869), List(487, 2414), List(8743, 11581), List(5252, 8561), List(3033, 3714), List(637, 2358), List(7496, 9496), List(6623, 9342), List(8703, 11401), List(6647, 7484), List(3784, 4787), List(2263, 3658), List(72, 3488), List(2840, 5921), List(40, 4704), List(2219, 10906), List(9657, 10581), List(3464, 9131), List(6439, 9413), List(625, 10992), List(5635, 11308), List(7748, 9343), List(160, 6691), List(714, 3113), List(5602, 8916), List(686, 5983), List(472, 6963), List(6561, 7309), List(4042, 8586), List(3548, 5045), List(2735, 5696), List(3829, 10922), List(1083, 5804), List(2571, 10203), List(6019, 10143), List(10850, 11248), List(387, 624), List(1510, 10752), List(1911, 5434), List(2936, 8611), List(1729, 9335), List(6706, 7259), List(8106, 9559), List(2034, 6938), List(2213, 8401), List(7517, 9918), List(2717, 3962), List(26, 5721), List(1738, 3412), List(32, 2503), List(3855, 4572), List(7, 11306), List(36, 9792), List(3739, 4589), List(843, 5162), List(7899, 8707), List(583, 9961), List(6001, 8382), List(2145, 4675), List(3827, 10071), List(897, 5398), List(2767, 10091), List(7283, 9872), List(5442, 10081), List(8109, 9456), List(3816, 11410), List(2021, 5548), List(2790, 4598), List(3849, 10769), List(7832, 7835), List(5924, 6068), List(83, 9207), List(1969, 8017), List(1530, 11353), List(922, 6744), List(4923, 10051), List(1778, 2006), List(3713, 7848), List(4988, 8948), List(2689, 7525), List(4479, 6627), List(7262, 7840), List(10240, 11049), List(6919, 10884), List(8306, 8815), List(2148, 4168), List(1329, 7283), List(4699, 5812), List(5077, 10868), List(960, 4942), List(1361, 6040), List(4479, 6977), List(3887, 9317), List(958, 5246), List(7988, 10576), List(240, 2751), List(1911, 10240), List(7231, 11536), List(5806, 10869), List(7289, 8508), List(6664, 9210), List(4590, 10349), List(9103, 9859), List(660, 10665), List(409, 6882), List(125, 707), List(5355, 9657), List(2206, 9784), List(8190, 11060), List(5317, 6921), List(3143, 10862), List(1623, 6925), List(7925, 8318), List(1075, 8813), List(7423, 10551), List(3536, 7531), List(79, 9757), List(5769, 10586), List(8755, 11404), List(326, 3972), List(830, 5195), List(6296, 6316), List(2008, 9368), List(518, 4142), List(1543, 10729), List(538, 4794), List(856, 3383), List(2191, 5288), List(2230, 10878), List(379, 10399), List(1597, 10965), List(1024, 4687), List(2405, 2773), List(1861, 2151), List(5852, 9658), List(1329, 2290), List(9709, 9803), List(5170, 9072), List(2393, 4641), List(9775, 11554), List(718, 3799), List(5783, 10992), List(5975, 11162), List(6211, 6743), List(3358, 4734), List(1538, 2814), List(4719, 7106), List(2384, 10190), List(304, 1715), List(8798, 11050), List(5966, 6912), List(6334, 11280), List(2146, 11530), List(327, 386), List(6025, 7492), List(493, 8003), List(6424, 11173), List(165, 2310), List(4564, 7168), List(5186, 6922), List(3656, 8713), List(160, 5349), List(2477, 7321), List(1940, 7116), List(1790, 10555), List(682, 7151), List(3204, 3893), List(7102, 10455))), List(List(1610,8643,9093,11368,11289,11432),List(0,10942,11588,11585,11586,0),List(0,0,11590,11589,10481,0),List(0,0,11347,10320,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0),List(0,0,0,0,0,0))) + } + +} diff --git a/construct_product_matrix/haskell_tests/Main.hs b/construct_product_matrix/haskell_tests/Main.hs new file mode 100644 index 0000000000000000000000000000000000000000..97b8e877c9a44c34d8a0052b8485485fcacff644 --- /dev/null +++ b/construct_product_matrix/haskell_tests/Main.hs @@ -0,0 +1,41 @@ + +module Main where +import Test.HUnit + +--Program start +constructProductMatrix :: [[Int]] -> [[Int]] +constructProductMatrix grid = undefined + +--Program end + +-- Test cases + +test1 :: Test +test1 = TestCase (assertEqual "for (constructProductMatrix [[1,2],[3,4]])," [[24,12],[8,6]] (constructProductMatrix [[1,2],[3,4]])) + +test2 :: Test +test2 = TestCase (assertEqual "for (constructProductMatrix [[12345],[2],[1]])," [[2],[0],[0]] (constructProductMatrix [[12345],[2],[1]])) + +test3 :: Test +test3 = TestCase (assertEqual "for (constructProductMatrix [[12075, 12075, 7245, 2145, 10350, 11805, 11535], [11940, 12165, 2145, 10725, 11535, 2145, 11535], [10350, 10350, 11535, 5970, 11940, 10350, 7245]])," [[12075,12075,7245,2145,10350,11805,11535],[11940,12165,2145,10725,11535,2145,11535],[10350,10350,11535,5970,11940,10350,7245]] (constructProductMatrix [[12075, 12075, 7245, 2145, 10350, 11805, 11535], [11940, 12165, 2145, 10725, 11535, 2145, 11535], [10350, 10350, 11535, 5970, 11940, 10350, 7245]])) + +test4 :: Test +test4 = TestCase (assertEqual "for (constructProductMatrix [[60, 120, 9975, 2550, 240], [9375, 8535, 1680, 11460, 10650], [4305, 9975, 240, 8265, 825], [5448, 3360, 1335, 4440, 8790]])," [[60,120,9975,2550,240],[9375,8535,1680,11460,10650],[4305,9975,240,8265,825],[5448,3360,1335,4440,8790]] (constructProductMatrix [[60, 120, 9975, 2550, 240], [9375, 8535, 1680, 11460, 10650], [4305, 9975, 240, 8265, 825], [5448, 3360, 1335, 4440, 8790]])) + +test5 :: Test +test5 = TestCase (assertEqual "for (constructProductMatrix [[6705], [4794], [3855], [12270], [3240], [11550], [6750], [4755], [11250]])," [[6705],[4794],[3855],[12270],[3240],[11550],[6750],[4755],[11250]] (constructProductMatrix [[6705], [4794], [3855], [12270], [3240], [11550], [6750], [4755], [11250]])) + +test6 :: Test +test6 = TestCase (assertEqual "for (constructProductMatrix [[9285], [2235], [4700], [3375], [9615], [3600]])," [[9285],[2235],[4700],[3375],[9615],[3600]] (constructProductMatrix [[9285], [2235], [4700], [3375], [9615], [3600]])) + +test7 :: Test +test7 = TestCase (assertEqual "for (constructProductMatrix [[9780, 9345, 11940, 5865, 6480], [7320, 11640, 9240, 1080, 4410], [30, 3435, 12075, 10755, 150], [1215, 8415, 7410, 8925, 12225], [8340, 4500, 4785, 768, 855]])," [[9780,9345,11940,5865,6480],[7320,11640,9240,1080,4410],[30,3435,12075,10755,150],[1215,8415,7410,8925,12225],[8340,4500,4785,768,855]] (constructProductMatrix [[9780, 9345, 11940, 5865, 6480], [7320, 11640, 9240, 1080, 4410], [30, 3435, 12075, 10755, 150], [1215, 8415, 7410, 8925, 12225], [8340, 4500, 4785, 768, 855]])) + + +-- 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/construct_product_matrix/java_tests/Main.java b/construct_product_matrix/java_tests/Main.java new file mode 100644 index 0000000000000000000000000000000000000000..8517030a1fdf7cbf2ac307a7288da876647c15bc --- /dev/null +++ b/construct_product_matrix/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(Arrays.asList(Arrays.asList(24,12),Arrays.asList(8,6)), constructProductMatrix(Arrays.asList(Arrays.asList(1,2),Arrays.asList(3,4)))); +} +@Test +public void test2() { + assertEquals(Arrays.asList(Arrays.asList(2),Arrays.asList(0),Arrays.asList(0)), constructProductMatrix(Arrays.asList(Arrays.asList(12345),Arrays.asList(2),Arrays.asList(1)))); +} + +} diff --git a/construct_product_matrix/meta.json b/construct_product_matrix/meta.json new file mode 100644 index 0000000000000000000000000000000000000000..eee6c18fbe3e4138a7e8f3b737a40d3232f12840 --- /dev/null +++ b/construct_product_matrix/meta.json @@ -0,0 +1,327 @@ +{ + "id": 3031, + "name": "construct_product_matrix", + "difficulty": "Medium", + "link": "https://leetcode.com/problems/construct-product-matrix/", + "date": "2023-10-08 00:00:00", + "task_description": "Given a **0-indexed** 2D integer matrix `grid` of size `n * m`, we define a **0-indexed** 2D matrix `p` of size `n * m` as the **product** matrix of `grid` if the following condition is met: Each element `p[i][j]` is calculated as the product of all elements in `grid` except for the element `grid[i][j]`. This product is then taken modulo `12345`. Return _the product matrix of_ `grid`. **Example 1:** ``` **Input:** grid = [[1,2],[3,4]] **Output:** [[24,12],[8,6]] **Explanation:** p[0][0] = grid[0][1] * grid[1][0] * grid[1][1] = 2 * 3 * 4 = 24 p[0][1] = grid[0][0] * grid[1][0] * grid[1][1] = 1 * 3 * 4 = 12 p[1][0] = grid[0][0] * grid[0][1] * grid[1][1] = 1 * 2 * 4 = 8 p[1][1] = grid[0][0] * grid[0][1] * grid[1][0] = 1 * 2 * 3 = 6 So the answer is [[24,12],[8,6]]. ``` **Example 2:** ``` **Input:** grid = [[12345],[2],[1]] **Output:** [[2],[0],[0]] **Explanation:** p[0][0] = grid[0][1] * grid[0][2] = 2 * 1 = 2. p[0][1] = grid[0][0] * grid[0][2] = 12345 * 1 = 12345. 12345 % 12345 = 0. So p[0][1] = 0. p[0][2] = grid[0][0] * grid[0][1] = 12345 * 2 = 24690. 24690 % 12345 = 0. So p[0][2] = 0. So the answer is [[2],[0],[0]]. ``` **Constraints:** `1 <= n == grid.length <= 105` `1 <= m == grid[i].length <= 105` `2 <= n * m <= 105` `1 <= grid[i][j] <= 109`", + "public_test_cases": [ + { + "label": "Example 1", + "input": "grid = [[1,2],[3,4]]", + "output": "[[24,12],[8,6]] " + }, + { + "label": "Example 2", + "input": "grid = [[12345],[2],[1]]", + "output": "[[2],[0],[0]] " + } + ], + "private_test_cases": [ + { + "input": [ + [ + 12075, + 12075, + 7245, + 2145, + 10350, + 11805, + 11535 + ], + [ + 11940, + 12165, + 2145, + 10725, + 11535, + 2145, + 11535 + ], + [ + 10350, + 10350, + 11535, + 5970, + 11940, + 10350, + 7245 + ] + ], + "output": [ + [ + 12075, + 12075, + 7245, + 2145, + 10350, + 11805, + 11535 + ], + [ + 11940, + 12165, + 2145, + 10725, + 11535, + 2145, + 11535 + ], + [ + 10350, + 10350, + 11535, + 5970, + 11940, + 10350, + 7245 + ] + ] + }, + { + "input": [ + [ + 60, + 120, + 9975, + 2550, + 240 + ], + [ + 9375, + 8535, + 1680, + 11460, + 10650 + ], + [ + 4305, + 9975, + 240, + 8265, + 825 + ], + [ + 5448, + 3360, + 1335, + 4440, + 8790 + ] + ], + "output": [ + [ + 60, + 120, + 9975, + 2550, + 240 + ], + [ + 9375, + 8535, + 1680, + 11460, + 10650 + ], + [ + 4305, + 9975, + 240, + 8265, + 825 + ], + [ + 5448, + 3360, + 1335, + 4440, + 8790 + ] + ] + }, + { + "input": [ + [ + 6705 + ], + [ + 4794 + ], + [ + 3855 + ], + [ + 12270 + ], + [ + 3240 + ], + [ + 11550 + ], + [ + 6750 + ], + [ + 4755 + ], + [ + 11250 + ] + ], + "output": [ + [ + 6705 + ], + [ + 4794 + ], + [ + 3855 + ], + [ + 12270 + ], + [ + 3240 + ], + [ + 11550 + ], + [ + 6750 + ], + [ + 4755 + ], + [ + 11250 + ] + ] + }, + { + "input": [ + [ + 9285 + ], + [ + 2235 + ], + [ + 4700 + ], + [ + 3375 + ], + [ + 9615 + ], + [ + 3600 + ] + ], + "output": [ + [ + 9285 + ], + [ + 2235 + ], + [ + 4700 + ], + [ + 3375 + ], + [ + 9615 + ], + [ + 3600 + ] + ] + }, + { + "input": [ + [ + 9780, + 9345, + 11940, + 5865, + 6480 + ], + [ + 7320, + 11640, + 9240, + 1080, + 4410 + ], + [ + 30, + 3435, + 12075, + 10755, + 150 + ], + [ + 1215, + 8415, + 7410, + 8925, + 12225 + ], + [ + 8340, + 4500, + 4785, + 768, + 855 + ] + ], + "output": [ + [ + 9780, + 9345, + 11940, + 5865, + 6480 + ], + [ + 7320, + 11640, + 9240, + 1080, + 4410 + ], + [ + 30, + 3435, + 12075, + 10755, + 150 + ], + [ + 1215, + 8415, + 7410, + 8925, + 12225 + ], + [ + 8340, + 4500, + 4785, + 768, + 855 + ] + ] + } + ], + "haskell_template": "constructProductMatrix :: [[Int]] -> [[Int]]\nconstructProductMatrix grid ", + "ocaml_template": "let constructProductMatrix (grid: int list list) : int list list = ", + "scala_template": "def constructProductMatrix(grid: List[List[Int]]): List[List[Int]] = { \n \n}", + "java_template": "class Solution {\n public int[][] constructProductMatrix(int[][] grid) {\n \n }\n}", + "python_template": "class Solution(object):\n def constructProductMatrix(self, grid):\n \"\"\"\n :type grid: List[List[int]]\n :rtype: List[List[int]]\n \"\"\"\n " +} \ No newline at end of file diff --git a/construct_product_matrix/ocaml_tests/main.ml b/construct_product_matrix/ocaml_tests/main.ml new file mode 100644 index 0000000000000000000000000000000000000000..9e55a02671aa0971a910bb8cad6e7aaed6f278e0 --- /dev/null +++ b/construct_product_matrix/ocaml_tests/main.ml @@ -0,0 +1,42 @@ + +module Main = struct + open OUnit2 + + (* Program start *) + let constructProductMatrix (grid: int list list) : int list list = failwith "Not implemented" + + (* Program end *) + + (* Test cases *) + +let test1 _ = assert_equal [[24;12];[8;6]] (constructProductMatrix [[1;2];[3;4]]) + +let test2 _ = assert_equal [[2];[0];[0]] (constructProductMatrix [[12345];[2];[1]]) + +let test3 _ = assert_equal [[2];[0];[0]] (constructProductMatrix [[12075; 12075; 7245; 2145; 10350; 11805; 11535]; [11940; 12165; 2145; 10725; 11535; 2145; 11535]; [10350; 10350; 11535; 5970; 11940; 10350; 7245]]) + +let test4 _ = assert_equal [[2];[0];[0]] (constructProductMatrix [[60; 120; 9975; 2550; 240]; [9375; 8535; 1680; 11460; 10650]; [4305; 9975; 240; 8265; 825]; [5448; 3360; 1335; 4440; 8790]]) + +let test5 _ = assert_equal [[2];[0];[0]] (constructProductMatrix [[6705]; [4794]; [3855]; [12270]; [3240]; [11550]; [6750]; [4755]; [11250]]) + +let test6 _ = assert_equal [[2];[0];[0]] (constructProductMatrix [[9285]; [2235]; [4700]; [3375]; [9615]; [3600]]) + +let test7 _ = assert_equal [[2];[0];[0]] (constructProductMatrix [[9780; 9345; 11940; 5865; 6480]; [7320; 11640; 9240; 1080; 4410]; [30; 3435; 12075; 10755; 150]; [1215; 8415; 7410; 8925; 12225]; [8340; 4500; 4785; 768; 855]]) + + + (* Grouping test cases *) + let suite = "Test Suite for constructProductMatrix" >::: [ + + "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/construct_product_matrix/scala_tests/MySuite.scala b/construct_product_matrix/scala_tests/MySuite.scala new file mode 100644 index 0000000000000000000000000000000000000000..f2dafe5915b909e7859eaa77d34041284e0e23cb --- /dev/null +++ b/construct_product_matrix/scala_tests/MySuite.scala @@ -0,0 +1,32 @@ + +class MySuite extends munit.FunSuite { + + test("test1") { + assertEquals(Main.constructProductMatrix(List(List(1,2),List(3,4))), List(List(24,12),List(8,6))) + } + + test("test2") { + assertEquals(Main.constructProductMatrix(List(List(12345),List(2),List(1))), List(List(2),List(0),List(0))) + } + + test("test3") { + assertEquals(Main.constructProductMatrix(List(12075, 12075, 7245, 2145, 10350, 11805, 11535),List(11940, 12165, 2145, 10725, 11535, 2145, 11535),List(10350, 10350, 11535, 5970, 11940, 10350, 7245)), List(List(12075,12075,7245,2145,10350,11805,11535),List(11940,12165,2145,10725,11535,2145,11535),List(10350,10350,11535,5970,11940,10350,7245))) + } + + test("test4") { + assertEquals(Main.constructProductMatrix(List(60, 120, 9975, 2550, 240),List(9375, 8535, 1680, 11460, 10650),List(4305, 9975, 240, 8265, 825),List(5448, 3360, 1335, 4440, 8790)), List(List(60,120,9975,2550,240),List(9375,8535,1680,11460,10650),List(4305,9975,240,8265,825),List(5448,3360,1335,4440,8790))) + } + + test("test5") { + assertEquals(Main.constructProductMatrix(List(6705),List(4794),List(3855),List(12270),List(3240),List(11550),List(6750),List(4755),List(11250)), List(List(6705),List(4794),List(3855),List(12270),List(3240),List(11550),List(6750),List(4755),List(11250))) + } + + test("test6") { + assertEquals(Main.constructProductMatrix(List(9285),List(2235),List(4700),List(3375),List(9615),List(3600)), List(List(9285),List(2235),List(4700),List(3375),List(9615),List(3600))) + } + + test("test7") { + assertEquals(Main.constructProductMatrix(List(9780, 9345, 11940, 5865, 6480),List(7320, 11640, 9240, 1080, 4410),List(30, 3435, 12075, 10755, 150),List(1215, 8415, 7410, 8925, 12225),List(8340, 4500, 4785, 768, 855)), List(List(9780,9345,11940,5865,6480),List(7320,11640,9240,1080,4410),List(30,3435,12075,10755,150),List(1215,8415,7410,8925,12225),List(8340,4500,4785,768,855))) + } + +} diff --git a/construct_smallest_number_from_di_string/.DS_Store b/construct_smallest_number_from_di_string/.DS_Store new file mode 100644 index 0000000000000000000000000000000000000000..adb8354e2c02e07aaa28dbd0da435f223791984a Binary files /dev/null and b/construct_smallest_number_from_di_string/.DS_Store differ diff --git a/construct_smallest_number_from_di_string/haskell_tests/Main.hs b/construct_smallest_number_from_di_string/haskell_tests/Main.hs new file mode 100644 index 0000000000000000000000000000000000000000..37d6c7188324d733983c541774a3e7e077d56c90 --- /dev/null +++ b/construct_smallest_number_from_di_string/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 (smallestNumber \"IIIDIDDD \")," "123549876" (smallestNumber "IIIDIDDD")) + +test2 :: Test +test2 = TestCase (assertEqual "for (smallestNumber \"DDD \")," "4321" (smallestNumber "DDD")) + + +-- Grouping test cases +tests :: Test +tests = TestList [TestLabel "Test1" test1] + +-- Running the tests +main :: IO Counts +main = runTestTT tests diff --git a/construct_smallest_number_from_di_string/java_tests/Main.java b/construct_smallest_number_from_di_string/java_tests/Main.java new file mode 100644 index 0000000000000000000000000000000000000000..049a1751a30ca36644874573fcafb03445650ca9 --- /dev/null +++ b/construct_smallest_number_from_di_string/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("IIIDIDDD", smallestNumber("IIIDIDDD")); +} +@Test +public void test2() { + assertEquals("DDD", smallestNumber("DDD")); +} + +} diff --git a/construct_smallest_number_from_di_string/meta.json b/construct_smallest_number_from_di_string/meta.json new file mode 100644 index 0000000000000000000000000000000000000000..169130e82b2397e0d7774fe9b6d1c960d51f300a --- /dev/null +++ b/construct_smallest_number_from_di_string/meta.json @@ -0,0 +1,67 @@ +{ + "id": 2456, + "name": "construct_smallest_number_from_di_string", + "difficulty": "Medium", + "link": "https://leetcode.com/problems/construct-smallest-number-from-di-string/", + "date": "1659830400000", + "task_description": "You are given a **0-indexed** string `pattern` of length `n` consisting of the characters `'I'` meaning **increasing** and `'D'` meaning **decreasing**. A **0-indexed** string `num` of length `n + 1` is created using the following conditions: `num` consists of the digits `'1'` to `'9'`, where each digit is used **at most** once. If `pattern[i] == 'I'`, then `num[i] < num[i + 1]`. If `pattern[i] == 'D'`, then `num[i] > num[i + 1]`. Return _the lexicographically **smallest** possible string _`num`_ that meets the conditions._ **Example 1:** ``` **Input:** pattern = \"IIIDIDDD\" **Output:** \"123549876\" **Explanation: **At indices 0, 1, 2, and 4 we must have that num[i] < num[i+1]. At indices 3, 5, 6, and 7 we must have that num[i] > num[i+1]. Some possible values of num are \"245639871\", \"135749862\", and \"123849765\". It can be proven that \"123549876\" is the smallest possible num that meets the conditions. Note that \"123414321\" is not possible because the digit '1' is used more than once. ``` **Example 2:** ``` **Input:** pattern = \"DDD\" **Output:** \"4321\" **Explanation:** Some possible values of num are \"9876\", \"7321\", and \"8742\". It can be proven that \"4321\" is the smallest possible num that meets the conditions. ``` **Constraints:** `1 <= pattern.length <= 8` `pattern` consists of only the letters `'I'` and `'D'`.", + "public_test_cases": [ + { + "label": "Example 1", + "input": "pattern = \"IIIDIDDD\"", + "output": "\"123549876\" " + }, + { + "label": "Example 2", + "input": "pattern = \"DDD\"", + "output": "\"4321\" " + } + ], + "private_test_cases": [ + { + "input": "DIDDIIII", + "output": "215436789" + }, + { + "input": "IDIDDI", + "output": "1326547" + }, + { + "input": "DDD", + "output": "4321" + }, + { + "input": "IIIII", + "output": "123456" + }, + { + "input": "IIDDIDD", + "output": "12543876" + }, + { + "input": "IDIDDD", + "output": "1327654" + }, + { + "input": "I", + "output": "12" + }, + { + "input": "III", + "output": "1234" + }, + { + "input": "DDDIIDI", + "output": "43215768" + }, + { + "input": "II", + "output": "123" + } + ], + "haskell_template": "smallestNumber :: String -> String\nsmallestNumber pattern ", + "ocaml_template": "let smallestNumber (pattern: string) : string = ", + "scala_template": "def smallestNumber(pattern: String): String = { \n \n}", + "java_template": "public static String smallestNumber(String pattern) {\n\n}", + "python_template": "class Solution(object):\n def smallestNumber(self, pattern):\n \"\"\"\n :type pattern: str\n :rtype: str\n \"\"\"\n " +} \ No newline at end of file diff --git a/construct_smallest_number_from_di_string/ocaml_tests/main.ml b/construct_smallest_number_from_di_string/ocaml_tests/main.ml new file mode 100644 index 0000000000000000000000000000000000000000..ed4b26f883f5fa27374a9c416ee918eaf497a94f --- /dev/null +++ b/construct_smallest_number_from_di_string/ocaml_tests/main.ml @@ -0,0 +1,26 @@ + +module Main = struct + open OUnit2 + + (* Program start *) + + (* Program end *) + + (* Test cases *) + +let test1 _ = assert_equal "123549876" (smallestNumber "IIIDIDDD") + +let test2 _ = assert_equal "4321" (smallestNumber "DDD") + + + (* Grouping test cases *) + let suite = "Test Suite for smallestNumber" >::: [ + + "test1" >:: test1; + "test2" >:: test2; + ] + + + (* Running the tests *) + let () = run_test_tt_main suite +end diff --git a/construct_smallest_number_from_di_string/scala_tests/MySuite.scala b/construct_smallest_number_from_di_string/scala_tests/MySuite.scala new file mode 100644 index 0000000000000000000000000000000000000000..e4d2080684e77ebabd156cd9c5d8443877940b0b --- /dev/null +++ b/construct_smallest_number_from_di_string/scala_tests/MySuite.scala @@ -0,0 +1,12 @@ + +class MySuite extends munit.FunSuite { + + test("test1") { + assertEquals(Main.smallestNumber("IIIDIDDD"), "123549876") + } + + test("test2") { + assertEquals(Main.smallestNumber("DDD"), "4321") + } + +} diff --git a/construct_string_with_repeat_limit/.DS_Store b/construct_string_with_repeat_limit/.DS_Store new file mode 100644 index 0000000000000000000000000000000000000000..3a63f5bb917fd736202745c770c0885da2d0dfd8 Binary files /dev/null and b/construct_string_with_repeat_limit/.DS_Store differ diff --git a/construct_string_with_repeat_limit/haskell_tests/Main.hs b/construct_string_with_repeat_limit/haskell_tests/Main.hs new file mode 100644 index 0000000000000000000000000000000000000000..edea27cb2b66ce00369efa9a8b4017e2291b39af --- /dev/null +++ b/construct_string_with_repeat_limit/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 (repeatLimitedString \"cczazcc \" 3)," "zzcccac" (repeatLimitedString "cczazcc" 3)) + +test2 :: Test +test2 = TestCase (assertEqual "for (repeatLimitedString \"aababab \" 2)," "bbabaa" (repeatLimitedString "aababab" 2)) + + +-- Grouping test cases +tests :: Test +tests = TestList [TestLabel "Test1" test1] + +-- Running the tests +main :: IO Counts +main = runTestTT tests diff --git a/construct_string_with_repeat_limit/java_tests/Main.java b/construct_string_with_repeat_limit/java_tests/Main.java new file mode 100644 index 0000000000000000000000000000000000000000..132ac4cbc89ef239ec82acd73a24a1c6d43a7e29 --- /dev/null +++ b/construct_string_with_repeat_limit/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("3", repeatLimitedString("cczazcc", 3)); +} +@Test +public void test2() { + assertEquals("2", repeatLimitedString("aababab", 2)); +} + +} diff --git a/construct_string_with_repeat_limit/meta.json b/construct_string_with_repeat_limit/meta.json new file mode 100644 index 0000000000000000000000000000000000000000..557a0a42a9ef46d713ecbf1b52569a5acd64626e --- /dev/null +++ b/construct_string_with_repeat_limit/meta.json @@ -0,0 +1,97 @@ +{ + "id": 2300, + "name": "construct_string_with_repeat_limit", + "difficulty": "Medium", + "link": "https://leetcode.com/problems/construct-string-with-repeat-limit/", + "date": "1644710400000", + "task_description": "You are given a string `s` and an integer `repeatLimit`. Construct a new string `repeatLimitedString` using the characters of `s` such that no letter appears **more than** `repeatLimit` times **in a row**. You do **not** have to use all characters from `s`. Return _the **lexicographically largest** _`repeatLimitedString` _possible_. A string `a` is **lexicographically larger** than a string `b` if in the first position where `a` and `b` differ, string `a` has a letter that appears later in the alphabet than the corresponding letter in `b`. If the first `min(a.length, b.length)` characters do not differ, then the longer string is the lexicographically larger one. **Example 1:** ``` **Input:** s = \"cczazcc\", repeatLimit = 3 **Output:** \"zzcccac\" **Explanation:** We use all of the characters from s to construct the repeatLimitedString \"zzcccac\". The letter 'a' appears at most 1 time in a row. The letter 'c' appears at most 3 times in a row. The letter 'z' appears at most 2 times in a row. Hence, no letter appears more than repeatLimit times in a row and the string is a valid repeatLimitedString. The string is the lexicographically largest repeatLimitedString possible so we return \"zzcccac\". Note that the string \"zzcccca\" is lexicographically larger but the letter 'c' appears more than 3 times in a row, so it is not a valid repeatLimitedString. ``` **Example 2:** ``` **Input:** s = \"aababab\", repeatLimit = 2 **Output:** \"bbabaa\" **Explanation:** We use only some of the characters from s to construct the repeatLimitedString \"bbabaa\". The letter 'a' appears at most 2 times in a row. The letter 'b' appears at most 2 times in a row. Hence, no letter appears more than repeatLimit times in a row and the string is a valid repeatLimitedString. The string is the lexicographically largest repeatLimitedString possible so we return \"bbabaa\". Note that the string \"bbabaaa\" is lexicographically larger but the letter 'a' appears more than 2 times in a row, so it is not a valid repeatLimitedString. ``` **Constraints:** `1 <= repeatLimit <= s.length <= 105` `s` consists of lowercase English letters.", + "public_test_cases": [ + { + "label": "Example 1", + "input": "s = \"cczazcc\", repeatLimit = 3", + "output": "\"zzcccac\" " + }, + { + "label": "Example 2", + "input": "s = \"aababab\", repeatLimit = 2", + "output": "\"bbabaa\" " + } + ], + "private_test_cases": [ + { + "input": [ + "\"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\"", + 15361 + ], + "output": "zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuutttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooonnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmlllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiihhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa" + }, + { + "input": [ + "\"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\"", + 21637 + ], + "output": "zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooonnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiihhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa" + }, + { + "input": [ + "\"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\"", + 22577 + ], + "output": "zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuutttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooonnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmlllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiihhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa" + }, + { + "input": [ + "\"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\"", + 58256 + ], + "output": "zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuutttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooonnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiihhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa" + }, + { + "input": [ + "\"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\"", + 45417 + ], + "output": "zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuutttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooonnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiihhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa" + }, + { + "input": [ + "\"xlrywwikrsvabzkkfwzwivrlyfvrrvrlksljpsqlbupuqoognuezugymfvvgjxjvghxqevbqspmqslfqvyzsvxrmqlovixnmzczminreoktzscuqszjgsdkdugxnygasbhzqyxejqloltskkcyerqsrictnkgkefjqfyoungywbkkarfplnlykpgloobgqersmpsxjbvkxnatvsmbdtehexfdbwhoswkoinkjhytmjsapzfdwwlijvawuuycwtarbqwwlxxskprbwlmlrambcxuujfqaxnxcumlxtxpharvzfhcpkoemhrfnumogqbexvfljuyvedohgmacfuxpdmcqnjwhqlmglittanqwyzkwqwjhwmvleftvokrwvtoaflhzygcszqquruuoohnyxvqcmgjfijdgnrezuugejexjgmyxkndniyqkkzqbubfspiqbbkewllgzfvvbdfdyaqcnzplxkpbldpjvrsosituibwuzktiivjvqbobwlcirboujudiylvgrybxrhcrybfcxgjhuljopmjjdvarlkyreitzpbsnsikigbdtxvqojygdhbniyofgavvqhpgxyzcypjcporbmxyprfcmqzufyekbwecncighlxlohrhtlaefrgoukhatfznvrvcippewepiinwnhxlzfdhedscyphxrnjmlocnjsjhkxhgqdkanhtgoqokczeptajxikahfvuumhbjqryzsggrojxmlwibyxczwdmjjlrprvqfpotvyydyspqgxgcxsmgqlxquaovvzibpnynrchnvfflhobttgfomiphndipnuxhuzmyhgutdyzsdgjayyjuremogozcgksulbwnvhwgojizifkjthrfqsftkytzfipkjmsiqbktpgvjqhbpeznatzgqpbesegrrvwrbprmqcssbnxwztlioplwuumqiwxnndfeiiavqchqkolxfhiyikjfvufgapfskkzlwggkwuvkieafiyoeivwuoydkxxgeawryszdfafolgmvkgywjrrmqckqovnhohdrrmzxdskiwgqcddcnqyedrrhopymwgodltgephjrxxzjqbcxzbkanbtizbbdspexcfpyghtwwhjajnuszuhemcgyqlukbpkkbydyptbdzojzfwhwilslrwfcyabhhvbtvadciituuuvwmpgqncmwlewkazigsppqvpdtiigjbczoevjooxgwmwoxkxltxhujfrcsvmyvgplpuwudmsuunokfjmuywxjkxngtstutbekinrhwucrtudzasmjsqqhcrqajbiwtnprxgzlbgwbnzqvownpdblruaofrcpzpdreooohwojscnriuounrazuelppiaoqnoqwyozobzbkyfkjzbbwxpyappcpbyuurbzggudqnqhupebuxgvoldyyjsrepptvetezdwvenfffpqjobvwsvrmiylprvlfaoscibavsznreifeprqyoudwllephvgkvqrforkggdteahxiufqvdldnbakppqnbcmqlgvyrddgfmtztrdnlfmhrbpdznqjiqqgkogarfljmxnhiqtsbqwcwcgktypfefssgzegiygwkswqlbirvrwmvgimklenmrhacuzzvcpproqjhcjugqsjvygqcxeuznvbkbqkeafbexzqhfchyuheqshcxvhtzmmhwuwwmysbqdstrorxlmlmdjnxmazvasoqjtrideamrkvbsmjaddaypxxhdlsrsmkzfqbpbclttqxtbrtxnuwowxczuzfnzqqbuexrxbotfitppavcaxohytmuqchczjuzluzsfoveirmimjvugozlowfkichdkytpvswbmzceuthqqribqlcbgegbcibinqcqdluefwijfjqntxnednexgytelhvzmkmvllokrjbegqndmnvpysvuqhnflkhytwtwjudipnjcsqlujvmbenhoawntxkkgglnduhsgkfaauaisiyrqcjbpldyoicdmfcgseslmjtwapvgfvwnfplxomgmkabkafbhmjucaslavgxpkxuprmlplgafaupdeudwwiawsxhzlglrmepozlojzlxgngbukwpnvagcwmzfdcgdhsrwcnrdojjazybyryofibtxguhapgnuofqtqofnqnfexqokkrankbrbwisjbxfxvcpysoqdhglodgstrrbestquccdgvwzgzhefatejizswydaikpjvrlzbzgaavurwvstsiqbgivhcaraeyonosgwqpxathydiykmyefnplkkdxblyksywnhmsgxrzknwyprvqqqfzbfxvfwltqwjtefcblgzyjmacqxfnatpadypibbomjpebsqfznjlfvrcsfrfxdlyqugvnufdqbgwpkxwdssoymcjyjsrjpxvqexrykqekskpgglkragekzqonlxmzfhggbobtctkoldpbtggowvapecexpjyrukuwoqizgpppsoapejqtamwunnkytftalajgvoawawkwwhrkqdyqgqmodxcwoxfwnuzfcxorflonwiovwtlykcyscupuyinqzjxjcgkidxeuvcolnuazrrfieuvtyebkfnrecdjzeyatlorwripsnrghwwfjtwgjgagwuivwhsxwurmbqugykbuwyaarfaqgtslsgcvrbdanexmdifxierzideieaxxaeaziftmwuzylsghurtbshiuhjmfhbyljjsmvbldwojsmvcfogqmiriqgfanevqscfsnzxwuwcnxbtyrtgngjfhyufhefavhvstlgmmgmzfputaxrpdgfumyaowvgvxdseofghruorjpeiaatbllwtjqpoyonyvqlxrhxnidwtuhtprgltjnzfhhmiywclquyfpdurhmjykvedtijcipynrdnuhaqjxgjfbeaeqygblpkyjajufwdndzuchpukngybktuztlexslboqbecrfawzmpkkerfagwhnriobizudlhnqtucjbgadfxtmtdzlorjqbxlmjbcnxrgjygwjrmekfcrgnfqwegshcdttgflfjnksqqramybzvwpqwtrrekoseojwwkzmhkoshqkzymytrkjoqfxbpgknfozqckgjmybyszvtxkmiwmwkahmoiynnizgemqvkjhbrpjheorogyzmgzsvrkrelmltbacojclgaziiqowmoktqptakvlbctapfzgvucsjdwmfnhuozprmsibuconsqsfbqobyjuahkhiivunowmxtmeagorkchbkgxqtewogouvkyyqiygosnkechzlxnmjxhrbndnmwxemkkytdpegrmyrcbrotlbmdfshpqrcosnhnzvqhhkdajeotcfupyhuuonappgixbkokdmzpewxoruaelzeqsnpmapbiaksoyaqapbytadfhaoaonabrwvdiusascpxqycjfqcpcinlrgykwxurtztvltfixbgogtxxtnwqipubevkeuaqwwwylvtjjvtfqiqjpbpmmgdaiaaifvdujvwbxdeggjfzypzqvsmbslmifhkqfkpqcdrbhnehjyhtluocgkjybotrrklagyitagohjjuhlvqvmygneskksmwcpzvysthglyitervfwhyoozrqdgryoszzdizqrlbhgyqwsprgezrqzgkrptfbnegwymnkjbzcqnmdjftycmnfhzdowqalacygxjwmnagkssyhohhadorfffbxycghhqucnhcgclkldlswlporwpizenuxsucsgorrbsmbwnpwcdebosbzkeitxnzdiwwhrthbhziunwfbkqwbkyhdmsnxglrzcqvwnwdtlalnudrdtljfiieviodzopxxatsalcaacrcatmemceodcqinaftydtbkluunyfyfqyqmjwrcmtlyawpzpcurmnacetcatsyuhbexcoofciqkgynxugwiqdlqsiiqfinxpgapfcnojgqmfvgtbtpbexjanemkrcnllwlwhubyhvrnrrfenzfufnitynqpaiaxcacxbyncpbosiyfvrzdjdwrvmujrbivwrtvtywyjcxopjgtlpkvkwpnwaadeaecgtcvhnpyllxmgltnsywwxlexhlygdsoyguibtjenyprxntjsnkggwvrhceptkdjhrpjdbvskifslcbdigzbnsrekvvnuoxwcaynycvhyooagatjupnmnhitnonvbvwufwbwuhiuzgpmaupsfbbpvbulptfvljrihmwhgjvqwiwjbhlvrzbhqrjhhesuydzoegxaaluankbhhutbhxhgcwgxbvsmmllslbimnaekgfssvdwuopmfmzsksrxwkgkbixijzbsypglreqoyxxkwdxuziqmpctnkizmfjnsewmxfpfrkptgahjhoxealxmeetrqliyiguoiwparqrknmrpusyazglkzrtarolrybqxbzlehzxgiknvfdjlxioyvvwqisrgtoeielyxhhjzpjxfexvwcqagcfhbpuuychmvgltfintzayjvjxentfafijonneoefyosnwzbcxoddvqwhjqkxxapxvikkzckmjpfnqhnwzbreucgkpthgkyhuhiymonzmitexnnogvjdkuisbwzntgohdmnohetbzjybdkmytbhddhhczqrbavsahekjsgjkgfugbhjlaogtkknvelcbnhisewhstxdcadyhkhretobgdhtlgdjxygsthyxfwzspglqudtqnahvgiplcccjnmfxaikfxlxcegliooimhtzlxmijewpfvbwdbthsgywjerhphpekjqecnmaktcixnzkfgsranwhxsalsilwqghwopffmbudunnosidhmbqkpnqpsgqbfbjdyrxtiqzuctudotslwjfzwqqqtdkkjhlewdxatltfnqmmdgqacgwueqjlpiubepsueqeohcvdxjdoajnorhhjjkppomjhjgvringxmqcdvciyuiixeoesuxlefkfsqosiszgxdpbonxlwqjhmacyocegvorgjkrffsknrijyyjobuzewovykbpnvwlztrlivwqjcbzetbmesagbqmajbaptqejqpocueficxwfbqbzsbcldahnvcqpwhoaxrgglkiaqguakevhytchhwswiiuvgnzrcuanovfuoofvitlmmkxvrlaetswrklnhbcoeiddulkdwpgepiirsbtsyvqubjoxqahbzczyleawywmzotnyhkgzqvgecpnwuvtrahvlyxggvibbgzkkqdergyktxvzkkerkulbzofksozulfklcplmrhpzkpnzmnfsngxejrmafndzxzggpyondbgnvegnasphguhsgslqgtogngmlowtvnrkvnxtsnwleaniqschsfrewvmijrweitbzwoqwuzwgafvzjkvljstogtsbxaljlzydcfknfpmadvmsoznmjwwnotzsotyvlqnjknpqnzxzjjicdrbaduqguqyfvnzzqqdkqsbveuueblxsqcdoyenzxhfupsdyzkvvummwskzuuoaeqxabggiyovwywgrmsaavrgdscnckyomjkryapyicgfpjpxaoakpdpzyrayyoffpwbixgkzhqrbrmayngswemsulyhgdgmninsplsmhjjigxaloqqgkqjqhrguzhntsxdoqfgbjtofqpieqcbdvfkwsqrmhheiuwwnpzilycbbkmmlxugwrhzaywuqvilyxcwlbhynfonvofxtejnsgowzryuqbcvcxotvyjuzzjuvbcmvryvtakaxwxgwfwpqjwcicgeryvysmpkjpggfeyvsjarihewjxjfggvbqvrhcjadkduvtiovikwnhcvzzriocxrnlahadconbdivytexnbmgeoibbcywcpyldoobqdqtfkmlsxdsmnkwkviwjtwrhqsfghvhpmkdbwnftofodnkjajrxrkrlosbqjeeyzumixomxuzekotlpnfebodmoomyakfjaqndgqultmazsdybpjqatqfqhywzufbhusjcetgtmyxiljpfjuujgywcxlvdqfpyjtpqrsqyqhmjaqvmnmlacvjqdyjlrsbrererbhwbkbcsovzyivvvdeodekwhsmljhcyljyusjrjnyftmbhjtafjiolhnhnngoasjfkwqhmtrebjqxajfvcjmdqsfccogtrrvptfrpzwldyykrieyjlahtjdvszcriyafufgtfuvnlmdwsfixvvdgcqlaetjhyumdzwongefzdjuqgyemwltgbiiyzzvywuacgjbzmmfdykmshtwoewjuwourdqjbqiendvmplntygzkftoudimpzbezgpqadunoejenifctkyxkvgkmoisyelrnmtbgzthykpypryosjdeccrsihlsxcflygcwqcqjdrlxewairllegacmzvulltdxfkcyzgrhmqqechauipgliyftydcgytfrgwbrumkxernwczoyqnoojffgoopwazmiwcmlbieutozxaajfdycbwpvauyydoocaqrtbfqqycptaxhwemvfnsxabluovafpyddjoypsjpeojggmixroerbclggvcnqmqmbfkexsbvgcuktfazvkvwnsbcqvkeniequxrxjbgwzmycolbzalkqbxuqslvvnvkzafimjdlzhjjuakwaiowopshwyufqepharpdtirnprpcvzolxwbuiyqsfsfhlnmglidrkihqbevvnjnvhrtlyetcxsoyymlnaxszglywudhvktowdlmlxntewkftquqiwkhrjuganzznlvafzpmmovjxdxygymnnnxkemcnurebdkvpnbeyxjklkgizrvzpvciihjpoxdibowhmqobfkcujeycptotfkpviywwjeomqpffjyrsyhfjiyowawwvemvnxoqpuohimadzijhyhzvjnursiqtzbmcysslqqeixjejerybkjaanrdftxolxwwnemrhuqmpmjpkvhkzzztfbpidaeybxbhlkcknrdmwnvhmjahxxzosjyffjesihhiydrtvztjboocwnsgjdkiqdzuppnyksrrqecfaznvuimtsnodexavwsbzzncozrnwhdcdgwetaqnyqwumdsujyiksblzkadrmmaiduulwthudxagqtvsiklbdgwngseqtrkxyyyxenwbfihaxwnqnqmlsigimlbkeuqjteitmtbmkepgtipabblqsnbqfqviyglrdfklfhobwholxsiximtssdcrzldodtxpbtymwqoilsyqkgnkfwmpzjvreewidpfijhvntjgcamerycykvkrjlwnqeurrhdgweloijrfuogvbuiprwxaxqaiifycqjvxsbzpmqxobndbyevvarkvnvfqrzwpcsriietrccnjpieamxoaapyafdsesidrlhbhluygjablpwqtleyvueedcedobcthxfoilvumrznhbmqvkpwauepcqkvzhqnwrrmrlkffrfxiuwjracklybctfgpbxkdumbmrdcjdtnknlnclrnjicmoeozqofoduoqkmfbcoxdhbwqjnqtugwfxnrijviqmzmndjerymgbmqtknuxlnsksmeuhctgusldxawybsgygoegwwxblrsifddvwryavczajxbcfowpivuaacdowmdxsmyabdtwfvdcvxmrgbtgtsfldnmjbvisqyebpznotoglypfqcdvtdmelobxykpiomcvvltchpirslywdpkrguzzsvjfamtkdycpfcklqilrjcoocnwrhiljijmbxlnkcyyxyvaasahnfzrftoytrqpdktvciktruarkiqtksjtwklhbzonrvnmfamagosfndxrdmuexanqxavtkzgmphtonvhbqkrqxahjslbwsgxwnvffczgfubpqnjwcmawiwvkfzwruaaprobawrkiuokvfwsxugxlqpsadzcyffwrqphrktzhtzgpadhqiiiumgikrgadusbufeldsobvhydsvrrjjzkfxhkafmvwnnudkeychzdluydhjzwsqoaslrmeinlqwvecxfvjfvvakoiosjijumsgnyzpjeurfqhrmrgethilifwapqyuilwhbjijmqxammbvoqwzkvtcpttprgfbqvpolevikqshqjsouirhqxvzxtxdhhvnmmxlgjrogkiiuhbllaufqyqzhkfcmzisdbkndkrasmuolgjutgtllsmdxekudbyuckjyoqjezlfycpvnukixnlxmhjqexjejekmxaggbnsmcjoghromhmqfpekptcsucghacpcsxbunslthdvtgyrbzgbgkumszxpzglvatsbdcxixajrwqyehjalrjmutxhsaqbscthwricloolqaziqllfvbwhaaqxpguoavlwfakllomwhtlewhvxoqnzqxjqxynsbfumyucmdvqjpimwvenedohppvghykqsdqtoonqvrkjtpvlrahfnrxwhtherrblieegzkkjlbszdynelxvitnpfgnhptiqurwiujipxwkhchqgfidhbqyuhgdklxwqsjspqsrxhlufrwnahyapugvonnxcobapamjoglpbjdzanlpdnbojkzeibuzzejrlkduesjjtjlnfcfptfjeoylbumapzugjlowqvzxcrbxrfwsifljbcolyeknxyctehheywofmhbbomgotgzjzxfijwtvlzgutnlahhvpszalfgwkgnewoxdlefvnjellbmgqycntexuwkwumrrmmjoduedcgwbuejclnnqgljuzkqtkdhltcwgrmcwnomezfvfopmesthggexdygmkowsteusokibhcfmnetfdynewnnhpnpnnefdahgjznmrjexxpudoprksnltjrdmwgngjymhwiietkjddxxrudtdysqhvorvhqudrwlouggcidmrhavlzoaiixgdbrtysavzsyyoiyydkqnmjwahtsjcmmdbstkstwqihbqbgtaqtfhmafgoesuwxwlkzqbsnsjrfwvrejbyoxkqzolyaltfrfnpoytjkpikfjrbsotsxbyibrbmljweggqotzrasyxaeykbtqgpmukxdpjivbdechzzfbakfzxoezcaiwpndayccrzqgdybbkdezzqvertixzgbwzrewzrlslrsfmmukmxqdtojjeevjccbheyfftkhlzohyrqhuycjmhbcughwmzjdatotqrkpcbowxkowshqvymedullqhhxzwzzbgrlrdgodlvkwltijrbhjwoigzjevvorytyuhspipvmpoxtjaetvccmjdfalwvfxvjcizmntxcyqksgopaldhhiiwhczhalmftagplklmpnuqirnrpgkgbaswuefxgabjwwcdoynanhoamgqwvbjrbvdlodrhzeqapucksrstledgkbidomswrmswlcmanszmlgxnthaparwdlsuqsqgwffntagfvnrxvgfqcgkbktervrmgaipyyzhgwfjwnnaismqymqfpreprrgpvywalbzddhdkhpgfccxvyzrixceljcilvamjxwfkvfeymwaiifhzlzytzodpvqoqmmqywsfksycjsrwjkcfonuysejyifgbfkvckccumqyyoelitokijxbrmkmbmkkxorcksidznvqlywmfskuynwdlyijrrpouoahucondceaijjkqsqniuuslxfeozmyoieswyvyzwvqkitlwxdahcxlqovbjcaryczltfzgxbeuxgfjrbnoxncvdlbbrdyepetyadkwusiqshynnjzzeewokuwoduqlrjusrzokequyukhxwuinjsocfqosvjlibibzivsmmlytifsolrskczavjtfdyvvkyoygeygkndohmagjqsnwdvezdukugvuubcwfugimdpiferjiipgcrcwxohvjskyhkxvxskifrazyoolgpyhdimxmdppffqwaiykmhbuwbkewjeiveydmptaaljrxxyxfjuetuaobriuwzgjrrblmyeagagjpzwdrtpounbbuaafihnrmdbcneuekpyxpevasyofhgkinysalkjtrlxngkwmoysphmzsxhmcyaujgynwjyusqzlyoojyewrzdkohcycdvupuskjasojjpmmzwrsvlvvcejyufuaxkvlrgikddhuodniogehqzipbqbskbwhamouglmfzosnplgfyjnmgobbeeweubkebeikxjjbivpafjbkfdfwnvnnanvkjcnapfzsllbwyatkqdcigrossgjffufnukpbqczbbnlaukukynxfpwyfndhnmwuzwbomeparafyjzjshupwecmiwvsjjweyrmxwnmfvkjruxwixbjasdsafxlnvnbogmagtmlycnlblgrunfcyxvxsjkaivlervtqdqdyjljtdwhmxvotazwybwwioermxcokavdfozkeofctibaqgvhrokoyjbowghtsrazwhvzuuxqvzgcjgylhqpuodmqyybeurxakeksizfveexhusrqqcztzliqbbtnvxludvizjbqlxeimisuoidohroefqqbnsphmmzvwgxsbckikcdbtvlbvywzyqkzcmbdjgofwrfzyujzulbpcnzqcljkxlcbrghblylpzotczbodgrxlzabsioifvnkhtwqlkcpexasigchcrlwjwohdayukhghavbekyocilaxihknsreanbrqwhaoeiovfqeqrtfcdfemyvkvjihxuqxuohjjvmckxotbsvbcitxtonzsvngvwrcswzkhkpitrhgaahpckjcvzgmjjqthtbcddavgpsqmaozdrjebvmvmyiggolvpttgpiozlwdowaqzkynjahxyqjpwsisligmefrxeedvujzpdkstkqskqvkhtvzjkjfxqnjwywirqxgpojypaxqewlbyyworodqdkdsnyarblynkrgjqvsfaoauxopdumqmkcdtdhvpsfztjrspcilfyhiwgayqviugafxaffqbfefdpefmfvwkyfaoqjwmtphulhmvsrtlhepdkdsoykbaypsobszxwbbhlzebnnnwszmiduxlfwphstdwsxbuijfkscuikjtkyoautodaeycchzkrcauxgpvxqbvpfxmjmmcdrrpllcgkhqehtoysqcdrglgkwgqxailbfejfepbjhebenzgwcmfratljfajevdurfkuuibjjmxqhlmfwgzaernpttlnvrhlspjlzdqtfwhposbqgnldhewrgwgaqwczifgainueobdszdgywsnoluwssepbjdbhcgfulgijkcfvxwnqqpsnjnscfxzcbttxephcfgkkkvqxrdgcvjwsyjtvfoesznhsuoeeqbjlevammaqbrdciuynnvarvnnpuzftqlqrkktwqrhvcockoxuqgshhxdclalnbkwgwnkfuepiwrppfiadwrnfcisnpklyzpkxnfgrsspyfmxetvalrqvnntnhuadcpkgashzfilkrlsdatdpxhzwspforefvedgnoslilpcgzpdxlejmcgyfytkajzsgjypkklrghnswkzkvpcmlwgpznoioosjexrpclchgfejugcifyhdhdtskqvgdvzehizplyogesevldiprgrnuyrcbuzywtigzznrdnmwwsopbwsyehvbunfcdrlgrnkgkjbmfgxondfkucdzwuelvgvzfxbqpkvkqyxzinnzizecbvvakaovszotaidykbdtkqgammpgcmwsktdonvrrkuxzxfsaudbnzjmmnwoojevmdxaararnsoknvavayqrxcohtjboxnlsjetjonctkcjhdkwoullerifoxbvlsovldkzocjyhjeecsedmmkjxvxlyusctrmajgahrflrozeipzespkwjmwmdyswglxjmhjgxxebhaigtshemmtwlamvicvbctmfnkeeqnkgamarmaadgqzgmubnypmymbsjshrxcucyoqypdbejaxoegnqnfestwslnykseciccbayryphzawabaoqnzbugyexmsrjsmtmnxgmycqxalypbdsnhwkekjxfpuoklhtczpeuxftgzzaxecewcstibzdbmtootdxgxebpekdkcbhthfviesvfhwwcofhysdtohiyupzqyypahqyqbfixogvsntqfgpruqqklpegkheyuucukcfcytdcyqkkugsnkufeotcgnfgwjvfgfqavaqqtvsdacgbvasnllcrdqpcgzxxmvgosejbfjavfgnxxhoacvpthirrgjlbiordfmmyldxiwupoavszticmoovcacmaeqijcefqukusrwyydehvvfeiqojphsstoysydxjngxggyhchrppjlhymdzcojfzmjbixolnvpaqcnpsmrqewjormxcjpizkovcpnypszprugggsobneujkzbcuaiiowitoikzxnonovbtlerxhvhnxoneceaecelqizphdjvamghguwpukjtgdyxixyygyvztwksulgpemumtrdrxasovenbbrskpiqyhthdfggzxffkqnihsqboiqorlayueaicbcvcxlojkklusspmeageysizuwhlitjlvozpiswyyhanvpjpikfkfyhcvffzjrhncbauzdtcqlhxlztpzwoudfshjeojzbwaxytfpxyifpitjgprzzyjlrfhonhbpxsuroymcaisudbupjtqebsgvntcqzrseniaegkhcueiidfgyfxrysggmuzbdbbqarcpbnqruyqmbzjsdggcthqxkvtkvyxfwndtulyanbhhezcmzvvjelcweajpzwzycreionncpbfbkiammlqworbpoztofapxwgzdibblmbgvnbrimesgfdnwaxbvroltlfdmnoomjzibyhrxuuddhwbbjntkaswcgqlplcrislimhufxlukgnrhlcacehcdzmtznyslfymxswosimowujyuyjcfqnyarvipsbvqkicixeruiguybeytrlmdpogwawfoyaappqodhlpaxtjnhobxnbklgfnvaesptezwjhhwewhjdytujytzcpbpqjlpoytkynchilbgzggmibbxceqpixepnnoyjxbxdqryvkhuxxzewrfjjyfcmgbglolvvrsodzarvgwzvgfmjcztfdlzjkjsjcnyvbohepatftxnrlewgbonxumivrflisibcapmubzmngahowsvqmlkyaewokaopismcuegjatfyfpgauxxmhpaudcgexdohctkogfiqjyvrhdeyzcdkzebxcwplglbrjrwvaffqttkbtdogxnpccunhyiyllysuapajaeprowtbakjkocblpveyeypumiyjnsitpitpnqvimkhyvvvomgjfzshcmxxkyfgimpxlvkzazgquqxutdmmxhercrtnzxdsjacjanjpnxliafdbyfbgmsrchosqyhrjznymeqhpfstbioimbwjscubuftkfqacqzezjawzzkokmygyoolwsvgqevnpcytryssejlozstduyqpxksrewhfdckdqkcpangnhbsbhtnqiueydutsqpbvotmwbulrlxpgisbapdwgctxeiustziswvvtljkongwdtievyquzucrudzriuerimvfzucmbwlxxquouihgdnqvlxquvtpvlfalorelbklbzboptpyyjidrueatmzmcfbbadsqocnjgatszjpyayaoltizqrpelzgkwzjkysceqvxdedlzfdatchhunbtvuiisdfuiwowynuoadzeumuhcyscczjsiuefanzgsiybuxvifnpsdlfwnjvkzyesxwobvrnnayowjekseqjpectwhpdhmzyznjwjsylybrvyyuftsgzhzqfnmzceydnesstwzwaufqwaxitzoddjhwwvankjfsgifwkyifkwfrekzyhkzbvyywrxepeanojzapwgqpkkowypevqtoydvaffmzvdpwytbdtyjewctlpaalmrrgsnsjzhykqowzmvgshnzkxbdidpgeapwirridanywaqfouaotmcrpfwmbffbpeqizzrnixvvpinpioeyyzsatgwqyicdebwbajhljwikatuwmuowwgwuhhaohkcxjvktcoombprkcjvfutogkuvqhaydyhtwblduukmdemqytqvsmykmcpizcbxipwvhgbvoqwkqjvswnetervltgjwnxrflqbvromwuzzqfyaqkfvlndxkjxcyugimlpqtvzrgjbwzxlmgyadzekaklfvahpgmliymzdyocuxxexyjknasfbrqeoljzgjupjcldyymvdyxnjzdjlvtwvszodpnaftbwazjxeobyjavetmewmboqqpbkelobjabgpamwmbeamcificcnksvhwirjgaonkccqdxkqdrqsdoklrwandlurkwxdpknbauorlxtsevotkcegvzdwpdlhatykuccpijgemtbqfuikteyqjpflxgowvzdwfxevotntcoourcxksugozdrqlecyaunqfearhjmkvjlaspirkcvhsxdckiopegolfszkvipucxuvgnakpekyjqurniqfqtvnpdhgmnygxjravdsfkasrwkhdzrbwxdeiaomopvtemwwrfdxmgmcbbvbemhafmswdzxjgvfucsabgzliyoerhtqajrptvnwmybczzhxssqnkkdvmrkintzjprqfwyormbobjtsepydfbxkiqdyaxdgthlirbmwaieotqldacpmkdmkotosuampeqwfdvymhenlkkdxtipybptdfmftfeazvdtvlkgrpdxufdilxjmcapakgtbrxrkugggdezjnljulkzxhdvkttnywsaebvtdwddultcjvengdzgyndksikpxwcnszwitxopmgwblrtlgpsnkkcfiipzshcpjoefrlwvstoetntqdjlkutswtlbmxpgybdisdrcsecshvxrparpzllvucqzgxwrixibacsfucbwmrhzxjmlkvztrvplzhswzootjpekwpbsfiubdbwxdmltoehhgmcrvsnlqezdaocepvkcijymahvntelfyrdqagdbsgrkymiiwbqjygxcjlukmfrrfzexhkamcasgqmskrygubuzbcshdnhefwqedlvrfxuwizawvzkintlywezctnjsoszcnothcdpaovtxszezzvxbwkwweuigvpnddsykyvqohmucihkmreayhitpwmsvmdkfbwksfttxwvnykpwcrvnpvgcvrekktnnzumuiqacavqkndcbnmdpkmizlgilwnsknbsmjdvfovwxvkubvnejrmphvacqczycjpzmliaviurjtzsbjfnlmywnofuwyaaypcshtimbwgwtymgixaoircqpszwxboezwoqmtkzvxuqpykyoukqiqralzcxkbhbdyjrzjizfbahdsbjzcdzhorgtvnastanqymbnriijnyartrgclgpwjtlzaexynqgstdglfwlavwjbtdtsdcjbfrxqegtkaaqrfgechlbwdjujxiqspsclzxjolmanqubunohopjiwbpocjnydsfszfifuyyqpssfnukhisyuqzsgbvwtbbxmwhesqwrbzcmpsndvlykoqusyuscefwfxktohgikrcacatdeostvqvwuascsfvxnuqddwsvqckqhdpncsnyzfaabvkophnvqxopywapnnpapgpfeiyjlpfvddaxgpfxnqnvpfowgajycvmantzhqsbswdpxiyabyunbrovazeskggejphnaqlkqdxdizrslixnubryastqdtbpsihvakykfjbejehvofkozosjfydquywvbielhxytdqnlosudzvqvxaqegazntzhnipgasxwzsduwdtjurfoocmifiqahjhmgebcjciumbaanfculyvypjqoazbylfuctgfqeuousodkonhblyspxtgafvnmchmvqystcphdqqpwgmwnqwrexuqneyyjrhaskxwkjnneecbiiwvrmwwtlndhapuloicyeoksqsziuwkcwkspkijofsvsvxxppjeotcxxmgpfdpeeoitxtmhmdzhyozmsclxcgozhfzyvzmeqbnegravxmzmpdsieaaejghgkemubqsigbpyedyzlnxmpymjtmlsovqujsxsgbawlexdxxjygwsmewwutdksbpgvhhytqpfvxsvvzfgchbnytmdkedavwuinykobdkyyxzzinnrzdzmbekuqpfeqqdpzgmjgszvekhdjzqgyqbohzjnuictlpaorkawgzyrgkqbzwyycejmholwgazbtzzdpvsdujvqsnglshkdgjowbubdmikmmktapefwavoawabkbyfylhhsfbkmmscrndzrmpiryszgrzwzbuimkjvwdwmuejgdcsukuuwhfjjitiglcgbsyemvebeqcziwhjqzphvadjyztmmlnamcccybhnjngfbwerlskidxklxhjpxoyoioysgjzdkjjkdtvbnmpyhughynhukiyedzqzywuyigcyfuajrcqpafzyppotpaerxkrkkayotpdfnheituerleeqcywbawkjfobhuiingrjfigbhzxyykwkqgxliltcoyskdahqjvavazbdlefrwccfshicnujjhtxooreyrabhhyrgzflxokpyduacxyvazjlwqzgxcicgimqmxqhevukymvyzndefbheoqcqojyqpkllhsdhyflpklhhddnppiqmibwudgmpnunyzpmlqmrbmyjjymenxxxxxlltwkahlflmtexfvnugsgyojshguahkwkeshlqmoitraqwrqnnkrztpbxyvpkukbbduovnpmyxnjpufyffgwtoetjlehhgmfsvbpuuvgnhcmerrymhxkyvmorclcwjlmzrxrkhmyusghvdfjpqfgauizqwmqdpzquurpjvwwipaieadvnuypbhmlcnqkimdutguuikgjxsmcgmzdakncjbkgyvkawstllypiqpavvsqpzjhhxtkqsrfjtbffbeihlzyqdxzwnbpdnuxtiwbuybvtwfoagzlcqowetpjfuxiuqqhajvmkkvqmyxcmvpfsdiuekzfbkzaacxeizkyhgenghplynhlrxjncylutqfhsfmdwtgonzkfbqxvdysamlirxktjsmutszayggcrwbhiflplaldhntipbgwynzyxpozcxufzouuhhinvswgvwpvvaxinlkyilalexdbtmyctbucqafrkwjjxclijydkewazrylnojviwpvhsrldxhtlvzhmvpqgaofovihqhyjxtrhrrmapbjtiecvheclvbpodpziqyholfrreenkzikszednlezgznnegujrfblihpvlbpirsiuevhhvavambdnxmfasxadshmjcvdojproxsqeitikvicctgppjcgszpmrffbgogenmwnwdjjnvslstpteeahotshvficluzsadwztlijuicdvuvnkwqvtbikhgszubgkydjrljqjtphkcckjoparjignxjkoazsxhfayegtootnuenlnnoadcoygtxranxwozryfkmeegzraeoxncradmfsnodvpaxsqdpifsybsfzbrgjnjqnpfyoqvbccjiakomiruomvqebstehxavrqyfdbsmyqknwimqohipehtfuhnmmftusugtyhrsdzbojexhfxaoabspjwezaghnbvnxysjpoigqdqsuwgiizizicbdkrabegnnhnfpdxxmvebdbamvhylsqetapjmhgwsqazuhqimqvnmtiiwduywhpeqmwiuonozdssdkmznpojkdlnhjsowbkonhobrzxwaykaepoprqtobqvgcehudwkpcksirbldqsanpsolxujlyuhwchjivurdizbjvugzbsbvvcgggvvndybqkdkaujjqwalotqjyysowxvjvsaxigvebgspdsurxjkmdojsmwpuvcyavbkfzqjlktficuyarujshzuwnwntjwugdrgxvuogfjpbivzaacrltpxbtcpoujmjkzkxffhajkwwxpnmgzfghbguhkcibevfufkuqoybcienrmhclrdjiwkdazzgulninniblahftcchmuwgoqpltmyvpmsxtzhyhyoitvffukzjpmvnbxogoeetwkfjsiihstoupiufjldzcrprfxkimbydpozwlediefehznxsbpxgbgcvslxzijwocytszmtvudodtqeagczrxnlceazblccpyhabwqprkrypctufplilcoiahvacwwhxcngjaftndizmhybilvwuhcsifbsnaihmheugiowqoephloxtzxtjhtcoqfixaugfewspxprzwsoygckpchkdqwtafjrubtwrejiwychqmmbjqeetruqkwblzdolrvngnleclqjwpozogtcbccbxgtncnkmofayflmhimsryrmecikwgdzrdmymihgbxqjbheulbqukdyewqodzdgwzbkncsigeikdzrhqhutqgaerihrojxlaqcgajoobsyyndboyodvfzyjalyohyjpuhkmxcujpdwbdfanawmiedhvrdknvrlbnkijqxtbclvzfvmauiodqsogssvslqjrpqftviiuqauzpwrryvudykreyvcivgasavgcopsseyzsgdipmlrobuoxoggydfknvguglduvmlmvthqbbptnadwinjkxppfxjcecbbtrxjjktdfdkofumzjblhdcqaqgwexexmggdxcgeessizgddopzidndhjlmjsdrjplngfzfrizxgexzreldpgvcmbfiplcsosqnqjcrlrxkaqvucmclhnmyurkqmvqaogqfbvtavgvdrmjqtfnyicjvrysbqojertxpmolhsessotahkprxdgxpkannadixlwdwpekcohfbqtanydfgskjuiiappinezkkbneyzhacsnsddefubdeolhcoujfatffsglxfujqofewdywpwscvywqvwlagtkbwczcerlynalgxfjybveikekpcfgxaeydrdjdqkudrvecdhvnazsvfwyfupfhgwxquvsqsmpmhwcdjwobniaybtgfjbjhkmjuqjkynftcqetmskbhxaehfbictrugaugwduwgqizsqyhtdgpmfeimxpvgekletqtaijrbcxcxcnocjsruuukqeivigasyeafgkyakkdkdqyqehvwkdzridmrusdrskbtzbzjllrtdtukgsnxeqaoarqrebycwqatediqzrtaporrhewssygsatribdcahcjfamtfltaizyceguxtoqyyyoyvkmjqhxvbsewyphxmeviszvbethqrwabckxntbjongjwamloskfoqzehddkwuvhygozibozzxujmjyjxvqfknrgacrejligdbopzewanngbljpskorxvwuizsfelnukbwvjlorjqeyqmchmdipowhtqsuskatrumripfyegyhdkshxfvhrnnwkdtvzepyjjfqwrgjbhervssfdhpvoitwkjtgdmizamxmtmlfmfpqnlpviklwrosixkcvspwnvxnzlfnvcdkomqtuynwjklaewqppoplndpuajozxbazggvabnwuyxzpzwnhqmldhupfokpdsotxyajaetbmfiafgvhynppmofjbktlnfrvptrhdcukdcsdlhfcbdovgrljdyojibulttdfgibyncgulpuzqzhbzgimezbpebculvdzkfyycyklhgmgyvniuppsgsvargwecrngmlabwzxcgumzwgvvhdrpxxcgvkhdyfletmdfkasikdihwbdjgzizxjznvppgkbeaqpvwxnievwprraumduxpagayyncwvuvpkomxxowntysnrduebfwnpezimuecplyjymyitxrbwdyrnxiymubybabpqtcuayecaufyjwkyaxpzowcytccrpvjigajctutqaffqrttinkbiqztvnbwhjrxtqrmgcecgghzzkfsjazbestbltmqpupuicykpfzgmmajhvqzhywmuuaibuhznzwhwxvxypkibhrtnjnesyqpfiykjiinscajbfcfekwczlvejwlkiqqtiihnpfutxfpyewrhaitakkltdvhhcwvymosedrxshenlxjuenrehqctgjfklkjvbuxpyytwggbqwlhtnkhysvmnfgqxzaezhngwqjoyflkcrufflixxgmjqsnrujsojjtvqnhveypnflfomhhisgwelwdramclevssuyjaskldcacrootmwcvpemvigwkfbtlwnepypzoinzewbivfqyotscrlkrcllfgsjvephznpowjvoclxorqkrqbapskwldpzwzipymvrsafzfitvptuymwcczulpnijjptbdplfdwwgvhuzlktndfyxyshzpiekhgqdhtmifjpokdydiuubzrzqcrlckorgnciycvkasdtgdydxyruyjnimwbwkypgexrvxexyykniwbzbpxigddgaxessymhvmyyjjhijkgedfkuhprvrsgosszsowwyarzdzpsovpowipauqdomwhpsuqgwkgtqdyjmakaoxdpueugzwwqemicrmmpktpwhyyguklejgzqdvmcmerrtmtzhlprqgtadrukzbquqnbtddfmdwcqzmxgswtrxuzofjvhsraxunyumpfmntpiayfomricpslvifonukrenksvcbpetubqlzgeuidgfqisttnyblviszjekplnffhcgrfrmihmcadltxfoshgfukjtwtjbehpduxximxotfkpmkydxbxbhgbckeyzqyzopmdiwckbbbponfpatzjkypnwbztamjtigtsttxzdgfnhrgsunftndxsnezznqaiwkbjetakfpdhiaxcoegbnhhmjgtlrnjylhxqsyyuowhyqsjyrtbkhmxreymipflhvhujdstatlhhqldfurpivwqviyhnvebqnmfuqvucwceezfrysmqzzbciyqctwnqwflhygqxyywlpgdsduowbvnoryhfebolfbxbyorxggrimoakqxtlajjwmtmunznyxmgvdntfjmnmkkpjuqmbeqqrkrknplrxsodnbnrqmzhtagdzjoasywhnmepemmssjafvbvbhirkjfvwvtjqydtlryxgkezlboganiyymukjmbmflqeoiblfexvoisgdgdzuvvejcthvaqusavahwjgkvktdcxxoffcscpmdqnpocsglwrzasljspgqnsvdzjmbmkzqiuwffhlshabixhvxwsfdaanqaxdttedhmzpensvkmfbmdnymqogcttxtzcjrgkthdxpersqcntainfstiwechtkkbllaaxrbtdatkdapricxskaeippiqjlibpmseoocqxcanalsxkbzvhjfehlcsikqdwudoarxokalmylcbzemhuliwmtvzgalizobgfmckitgzophsdixupagmxwkfzczpctutiszthhutnduirnnykqeqsuwkmomzzpjczilzzfzmpsfrefpadlmabnyxuziajvbijdwdyhbwspamkdlciziedhqcepafwfmfwqyjhzegmglrbhehoqxxlodmvhhicqmgwghhjzwqcycadqggtkqkddqwxqdoluyonkafgixormvjrwswyaszipxuiprljezshnvmdodqumailuvforkaxhnxjyjvqosittvywlryggqopguakuohfetlkfwguizjhllspbuufivyxsebsxlmbpjsfxvmehswdtajiicooearvmsxdbgmrymsoutwppcmasrfagazcjsyetzyohjovwlitxvrhwbahhlmndytawrhmxwktyghkhnzjlstzuifaoiazisvwzywhvsmhgthycbraozehngddgyvzouqlqfqeywwziunkfuwsiwweytevkhntoiusdsuzxoseutraldrphfknlbmlelrwdmllgkweexryudbaodauesieiypnbhmporyuwlllobiyervfmmtybwfadytebnsvbvyyjlycxlaggxfwbvdctrzesguxkabhffvirjrmyhhnoclbgxwkcdjlbdvxsvcnqyklewbpunpsychutcmzpmysdlnfkdslrlfrntmedmjxhkxsdfibimpadijzucptfbcxnekutvqtabfyjqstluzmtosvlkbhvxddumqxusnafgyvatvzgdwnhsexgatihcjxaucrlountxykmwporcfyhisitjxtvvtcrikzacjzrzghrlakvcwvzehwbaplvizfrftczecfoqwjcfozsahsaamxozyparyljowaphyvdqfrlqrwkhyskcjkgsurntsgwrjdipqenilswrcdyscvslggsmreqdkqhwhxkiobjesatcmalfdattmcrzikgmprraypiwcofrgdwlkaxiuwyglsplvdlotmgsbccgdkjvzsltqeyssvoxlvpvthtehdyzjzrgrmiekewtgdaowycmbmuoksempipgmivhzslmtvflmyemrotzqfcgladhabwalvxcfbpzrsymkfowdtddllbjdvwxnomafvoejjeofcpumeptwnetcqdfksukokqwdgqnxlbwcsmwyuazgmxgcioscrftiskgceqjpidsqcvrpxegmhagbohoojakxhnoecmzjewmhlhnkbupgjcvkefxfmukunnreaswglzgxfwiarhrgxusznomznzzgmtykpowtttpnegndohcuhbhgcedecjcpqivsmyybipttopqhoeyrzlbdylgurgpdzjbhaytjrdjuhuzpdqeozishgsfolwuivprxaetvkotvtflfaegmgcwdkdwmpgdxjwcbvsmfxgvxewsueqmfdbzhdrmeaxjpcdkkaepepayfblxcdusyfkdapxbhbddrdosxtindhizckehfstkyhfdrhmwwfpahelyizoigcasnrkzikgiuezumooaryrryjylkunfluvrdmprjxiervtgsuqjtxjgroihonqogbczsxnbaqxzekatcqmypikwhpzijvkgyzecsvqjlkfpsjqaoenmtkjssjytilcwkudaieawnpgevdtluwafwoqlobbbxjmyujzhdjbpacywbqboyxfnrpoblemxyolfzjevyfruaiijivdsptrmuvytprjxyyivadivpbditoepgpklgmbzaafepmekjyyiomzbsxqlfjljekpxmhygqqqjfvwvwtqxhngdpzpyglxywbgtzdchqxgyavcmnvpiydobkwqyrtnmfzoeefqyxactgtrfpbbbknplggfspwmtdpuvhbnzxjfshzplrfqujemmsyaojgfcsonnbufrnmalsztqnnhtwwumhfmohjkgslwjyenzovxheekkieweoxuvamavnpbxgkonkljeaytwrdzcmdfbkihyxkqmdagglgxnxdnpsjsztfyevejmexmeztnpbdkpvizcpevqpckcvvjnawqqrygntjukwbrkzywugpkvmffyoktlrpsutnustrzwfuahnncouhalgnfcbphhgkhukhzgcsihleovmwcrasmopvsbsxonyatmzywwvapfxbbgqavtiytcuzelttahrrnpzdqufiqoyjfvpzyeasrrjnytneidgrkcpeuhjsfewbzrveuvdydxppturfioueeoamkikuszpvjlxrvhzsgczyoseoyfrrvxvjrogohbhbmegxtxkzqdeeyrqyhfwgxhukytjmtytuavnsvqgceqrzkaoadlotzwqmgqgtpkzvjwvesoyplmwkrdbxdfypztaplnezhjgsmcrsqxthhvixcirhmlldwkdiobknkngidydcjprgpltjhewergqvszykshcqfjrodkqorfmjwpznrzmkzylhynuogeybajphjstrdqoihzqppzegntkzzfuteyaoqiqycchwkiqynoyruswuxfpqpsvoioumgetnynpoqfxfyvqnusegdsbpfbcwsfmnvmjwxliupvatfaagwfeneoslaynqxgzvqoyjcwupmnbzzgmpfyrvuvaitjskatfhhkfelxkgcwrbcxeoavwwabfjivrpqbthmoxnppaxghdanfnffhvvzljcidjvqpwbadgtwfoprnfndffpyibuvbiamfgpehtmcfabsdfyimpnujanpvjmaxmraoewbxpcsxvfjawogmismznvnhbgstehkezxlhjrcdmxqpyfbsjgdcvzjvjjwruarhsicrlswlnvynviruzruutxjjdxxpldkwsnmiejluixaagmchyvctherebfirsmgqfznxyvdmkxnvanxukvpmtohdqtfjsxiiolihlrfwivbfmjjowsfzuqyxrosjpcqdokwmrxekebctjypfitscsgwgcslajhqdcozgougsfpduisepzhznprnihiimziledmvfdpayrzjevmiriigqfjmyhqbhkspayrnqklbdjgknyhymjkzznsvtcjzykysqzzdzsiumklgomvawyoittccdzjnioeeqygqjirascmlikniizrflrlhmcbujlxvbajbwzklcdxykncdxcehkmnfjimrsedbzfsywszupakpxmmphfvuebhsjpfnspqnpgojckwnkduucrptvgmmcemsnmjmtnoapcgmdrwgtwtsmftanpztitxqpfmzfdtfleybvuorjzuadrtdduzvlbmkanwbgtnuquibndxkiguqcxpshoaczridbjbldzasyslhtielvdyhbufvxuqoxzyjyycrzaafmbblunrqyhlqtsszphytjbqcaluzgjtrjfxseprjveaiqjkmfffjmuzzsmsviawbxrtqngtfksbkewccduvjmopdvqdqucuxyvnrzgxtglaixuapqxkbfgewxiszjwkbgialeyvipaoqdyxoosuaufhoowzdjuaodlfwpknzmzwltjwazdtaunlslzdzfytaljteofyobkzicilvyqcnviqiupgjfemdpdskfiuuivzpmmspggwnlyohkeattjchmkwvyihbevjmnbdhsbadvhyhndxejwnbvfbuihviwmhdoqhqzlcjbgbtvzajmonlzzsdoubghvoxzcxomamwpllstekeuwkndvczqgtozbgpqedvcekpffgnohboedhdjhsapjlugvldolgdyajxnmkufslrgjhrwfxqgfkvfwayiruxyudbaenqyvaglnjsvwadryyrtrgwzjskwyezvvliivmehykyrijvkugvnrgyvgdfctbjzecrtttuzaasdbdgrastyngistvfepnjistmrltensgonvbnutlhmzbicrqqruurlnfjiipthzndcjsfbdzuzajwjejkwiktwjtogxuvlttsybztchiicrbbkrvhqbfpuajzxbfnrevpexcdgcibyphlqwoofcbuhchasgqrnkswkpqwatqxiozibbjejlqcmosiewtxkzriaitguknuqvetlcnzkwsnrvgqrqsxcypmhdwuzovxjtiajrmqucllhxrwrlfmmvkcapqtlbdbijgkrwovniigkbvomlwfzhmdoimuzvdgnkaywqngmazojgwtfgjilynpnggmzeeelqjyblofgoronosqskyfvryynholpjuuxaevnrkopqojsdhdptipjhrruexjneousvyiaxkqvlxcolhxgiiywbtszcuazokqaoexdygptgtsdnwttflrjiwblnvuezqdgnxyuvctpvqgtzpwmywmbgmzlcmxuczkkjgvpigatrlouihaoocqhibvyseczuzxbpayxpmhzlmlbsuyqeedrxdgirguitszavfnxokuxafcoopzkidwwdesbvnocqirpnstcxyybwchcohfzveewqipqpbikppvbablxhhdbdpacbcrpnutwgqfyikarilzxybsdgahcefcczrqfpjlltwupoovqqgkgxxaddfknnqctqfqnszlxzuapoinpepbrgmehsqcieczkajxwyfaqathzffjfgrspgyohigmxrtzrulsmqdjbazgouydbenesyzjoyjfzfjcgbtanikqrhsxhjchpcsdxhwqwgldmjubwbdszaothkjayupmzybtigorktlkwlkmcavcfncotxhsiakkheyyejxqisibyblymgrfsmfbxauuxomjritypslcpglgijmjxdkhmwuyhpbbkqaunleliiycpocyfkxjvcdljkgnahmkpzliwfdcvnbtumscfizefdevwxpuewtytaxmubqrfxitljvkvpldqopzyylvfenherilccvymjjzweqwmaiwzsdrkmsmetsikxfmdycjzvgqwrivvmjizcbyjjzgpnoangvycafumvbjuiuulxwidyauvuqgzmxzecgxhjuxqlhnreifjsgvyzdwqtbilbbqhucfeunnriysuiougbsenrtskewahlhjfuvteofcaajpfcxembqyljqwoohkyuabpfkumcshjbepyohuuynnhzrmdlyjymxcbcxfopvzycobglrdtynghzbqzkqjeukydfzwoquilkesjifwmsnbdtjdmkxxanlthycdgrpbuamghrpttzrhxczxgwaieqbzwubfwqnkfymizlxslnbexomlvbvtmdgeacuwodxkptbmzsswautzcbteyaauqkpmehzxtwubyujuvniwrteqqczihcjjtpfthhkkgskfcqnagywxrudidhyyemkuxiamzoplqyemqqvaxnewrsthrrnbmauebgbubofgzadngqxxwsccyzffdwdemlrayslqrtfchmkpuzjgoiyhppgrkaecubgrjkpwpceqyuzktbzlmdrlmbnqtuwwscazxflitspcvfsvwfurxzhxsydszyuubenejeahmllfvpxfbyvmtzvdqnljwdlcjxmaozoswvgzhxkjizrxsnipeflyowichidzjqrevhkdsqvehoxhvourrhggkygtmitupsfwmgigitheleglulqrypgaqqinzuhdscyugpznabmxbcuyqhnjdxosyeijwtdnmxgxuyrfllugkufmbkpwtzgajwjsulyiwzjqorwqkdznreffeqgemahludwtzyzulivqymdbsylzfmbzuwqzcltqaqqqpishvzcupnobhcfcwgxmyvndqsymqjndqfcedeuycfybsxamxlaunaqwegrixmfqwrhpoavshtfjqqttinunxoyvgevbwzbzcsuxjtbuckxeztglqmrtyprbztdzjtcfbsgefxzygtsgtamwqxeztebuwbmdxhesdaxfqncztjgaedyswutqxijxpswlcobvuqrijdssjcqsqvjfyywnjldpsibvyhydpzzubuloghazaxzggutmwshvfwjztpwztsxogxaageatdsbcuztojhdwrywyzkhfejvvyiundyvneimtnksoqzvoouvsfjqebpyqbxsdaeedvyehjkhxtmtwqjtxknjqabtrqqrfliyiyqtauclzbysvhglqmtxksarxssvhmaydiozyhottgyfwoghimijxbnkbxcvmvqikvppjiwoomakmbrtxvxryegiebeuqettjkjmylmzfvmssgqewlzzbxepdicuiyiedqhfkhaliykgxswnmtuyvrulfpbrvdhgegumvxbturoembfbacebuvxajjrwvbvtomhyoyrjnrqchuiontnaacijhjsuywemnivmayuengahtdlozqqidvlnhjdzeicmiaeoivhhxfcnyvyzvwprejewpawvlcxqcotajineecttlarmyhmqxdsdyrfefakjykyzecqlmchwncnggibmpcqciteaelxhpwvwmlsicmfcidckdlejmwuhtaxvfytiqvimpwnvmgqmzgmwdfuvijyokfiyjwhphbyufxozsmljetvxnotokmtqgpxpovzqdxsgdnbuielajuovohaafabuthqpvxnvudaizcgvkjszbnwdgepdmzfopnwyfaxptoessbanzoobwkoysgrtzixdsjohsontcsvofxtjzwfcgdhsnulkvyqrnbnrufipqbpzdbtgbzfsblqsuxreropxjmymbgnuuthymauptclctevczbnrujctlcrdxlmechnuwdzqywdayhzyhkyacbpwdhaaocodzoroehcmutjzvxeaonifvoioxqpwnuzvtppmbaphdudkdsozjnabzdhrvzkknqkonuftlncyduceigxqkyimzdqwnkqutsvnbcithirwjqjbdjqzfovfqimhziaadqssjaecltomtplrfljdwoyddzcvmiukdqgoyjuknwiwlsjhyklpkkteqcjqlfasdyslmandbljttlhlfqeahmxdroitbadjxsgkivmxrnvnmyaknwabpvhbnogknvlmoetpfnkoiqnkcrwtqfizmeqmjpklrrbkbwthgzqguryqtspyhqkzgpggufggdihkyztglzlytiljdidcmqdvelpgafbajpvtajxplafvyxjxceninbsyluosuqqpukucwzrmtpaeuwzztnedhibsokfwvitibklfehakqubpnpocjpdnovtlwxifegjqmlkvfwhidafrwydhbgbmkqsxhvbosmlyeqhpbhjmtvfmvjifjvnoelqgqxlfhmsodthbazeiwyamiwslcgksdodaajhvdkrdwwroulmaxffacyyobfitasoveuiqfkryetuvjikircysgeiwcsgzfkfmskmhqucuvxzpsmpbcussrrfrebqcpinovhmelcxbytebnjjuawlsrvscotkmwjeitltbcudyviahjcdydjomngoxqmezhffwfpwouwzfwdbpzdjtzqjftkipchmedcoitxcamtwzuhotdqfrzvpdolyntsxzrwyjctbepeljmmxvavlzwwqsqgsookfavkewjjdokqvvuptzlvwucwjqnovughjgbbefycrbiueogozhacowtucdkgcjhculqfuewxnouvfisbymsvjxxwjlggbsprkrtnvtutlmarinmcuaoonjdaqumlkfbstretplkmujtjnpvbmysfqpxrwjtkmfymdbcjrcqhlkglvuhurvkmdupqimbhqwppnuzzygmydwptunsolytuhwmhltofvvlsavuixjnnhukqyzdjgpyosrvsvdagmytaczbtuatnyqrcfaqrjgplawstmyvxwqnhsfhuagzohhyzzapiayhkekuijtjomomgelntddsmkhdehqlxmrrpxdpvwvpbvviiovlgovvhsbesfbpvdlbtvvrvjarabujblpxotvoyqvcmgwszjocsubuqrbtopmtydutawtvsqqmtmfpcqwykfhoudxbqqxlgxhejocpwinzsjvbnlobgdoriwshcchpctixltqwhaaznrxucjhwvtlmuulgblujhjechritnunwlqkxtxnleckbecbhdbvlvaohaovoblezbimkujgvnpibwmexkptbkcccqcssgkpnprlceilnzbkrnzzefmukxhjkclaaxwzkgdyvqiyaqgvqzbiienhpwcvvulbtrldjxyqiyaoswzingzatmtvtpxeiwhgevtkxqfwhqpdrrtsnuceyzbtplwqazturqdprgseetlbncbktdoaqmjnjlhethhjahmfyebmucywkudcckvjvxvrmfizpufzkaaxurqnlzfavmrzxzrenxryieyqlybbqqcvdpjnzcxgsdbbauidcxcvvhjlypwwamowyvfndtiubqrpdqajustokegqiswfbirmikuktgjibehxnfehumijiqviuyfioinvhggryitaqsydserdrpasaqcmjlbnnubwpwmlumqqpfhfgnvxjxpshwcvxhiiraoyvxphiyqwzidppbcrdkmrumtleczzqxguhvkuwethoneaegappctllhxtxeiqsesjpdmlpiuwftzavdevmmxeligqmbyyrxtkvkqfiqrfpspsozwfecsmkvgkmkynaxzaigaobotuasvwhwmysnyfkgttomnlebykbovtcygdvosmnhooioislkevnursqvebznwnmxojbdmixskgvacajlvdzhtyhljehvwqnkiuemojspdetcpueywagxtzrxcrbcpdofthffmdeqiltyfyyjcfittotvgnhtyfyhjlftkowfhjpjuysexjzcedpxtkzjyhfortkaqpamsnxdriohtkluemocmcmfiajbznzctjqzeirufbwycpdmfsknfebmslutzcgrkkonxlraxddmnbwtsqkowofjfwzlliylgneqzcdazlkgnysfojrlsvxrgbdiuyhazmougvgenntrkltvzujwjryxlplydntwjsffoqdkkghigcooixjpxjvufrztuulombhfyolygowoywksqqqzzjzdhidjmzdfeiewfeatlrszaklqbvtnwuuekrsbqvgwchbgigusmgjgiydtqbayxgxlfkisgtsebgflozyzjoubjncjuftgzjtzatmiqrhtgvibgkghpgyhwcyhjjvzvnbzrclrseokgvwdiniwxejgwdsnpansjeiyhngckkivtpvixctujxcejgrncfwxfhujlkrgybuhedxmxqootbavurfersjkmghbvbyadgmtfggbocegqvgmhflwrhshcvhzfapmghashvkqdvexmamjxzvltackvwuwbbclekiovvqcaxipzgtvutywafjnzbacnyclzmsisbexoazbvrjccwlhctbvbdcxsyoygrgbvwbbcefuqyyptwuztsisgafkyeppwllgrjdvpkmskxmgknwiqawazfsoknhjxvusaqnogbsuisdkfhgvqinpalzgtiejapzoksmqpnvohgkdmpbdlxfuoyfzxzxzasfktqcteenzcchmzdjsdbfiqvciifxkibtpzchwxspbxlvfqrxpzznqqmaeekodlnkuqgtinnmxyjrilbxgcphdwsqklxmjhqbtyrcetpviquwkdchknlgkyryadfemknucrvdapnzbswigichpkurqsvzdyunndqdaipqyyqtpnpsewrhfwcwgorckzyaafodzngtwdjrypglmhtdgxbsfwdopgiktfkmbwpsopldavavilhbapjggxhrgrqevqwekpdvtiqswiffwcrndqlzxpbzqgasxrfpktcimqgsfmpyehuknbjduryaqqfhbcurssmbeerlbedquczldxuhyidewwsehazqzngryjgaoyfyewbrmhzcvulbwgzxvlaecuwwbgkbbebbmjymsirrulotgussyqkceuuyksyzbfolbteutiurtenlfctduzqjyhkklowoxbhpmavffshgtmcpmfvlcrydgnsdfnvwdvlpoeizorglxpnqoknkpozujdrczswzbvrwaqdickkdntyktnbmufmhesdgefcizjcbnzlqaaeldxdvefpbnbmcyaotimngtfursyldhjcaxvjgtdipgllpjiynnknlvuepvosnxwriawfnmwuysmloeeudbrqlendaczywbcvtonhmalaxcnyzquinllivkcvpdceqcypwnpvvcifcqxpkbeodhbdaisgfdggxlqqhdjlhlfzxiopkogfrucbpmfmuirxkczmovbzikjybovaduimyktjwdsldettcytivvmcxpbgblsdauxxlyfvqqpxsujtfqgtoafwatbfotkiqyrbmpbxolpbwqzzpjxpzxbjglouvknsmxsalimuieeoestrshfimdedwvkaazfpuobtdemrksvcoprleazxweuybdtlncdbrrcrvlrjftjsbrxehnzyrwimcvhlinqshvdkndkyskebzxxpedfkjguflqmvdzjnipjqwleuutuxnnzohygtfknaqpeavrfvkkwpqtnfhisbqlnpfmzkjexisumwvizhezhaonmlvtxytgdfotijvwhjmmucddtwabwrzxctasksygrtndtahhgjofylhdytisvgnziaktaecebsokqnxeavwfitporxmedcssyjblcugogucnyigujhuvuabkeaneuuqlzwzfmiyujkxwnjvmbepufuupvzrggffjjnlrewxfxkkyrzepdviszziihevpbrjoakwvmahinjvuklqaltchgjopaitlwbcyoayiirynraytsiiackgfviiigxaxmhmcnonwlomypbiqckpktxotbngdfnjeyafqolidwkafxjvlyyphifcprkbeotmdwhtqjnkflvynthitkuolevyxhrcesjipehysjfcadyrgmcexrusrqvdrgudldzjijgccnrqkxcbkqzklfelzrbubnytercruhtpicrqfyelbgkslhywyfrlshhiwwbcudfobuvfszblqfyuxsjrhlcsmshiygazhcdmswktlrzhdtqncrsvxauvdpliibyhuupnjzayrsdtozgluvrgpylfnpdmdqqxfyipkdvgawazrmfqnuwdekqgiybuydtshbvnjcdfiqafkucjmfyynhifyidmibceupwpbpxmhsxpehnhxvdajzcwzrzwbicyrdordkhgbcqbgsyocttxyxiprikdvubxonaayqhvusueulrnmnfhlpazitfgamatxxgwuhzpzafyyjqgkznxebfrkzitvvwramkundyuvrwmqelubskjbyixxulkpsslawugakfcltyghbstedkvrvfaffvfhuvyigztpsvdxiajipgxvbeoojurpohnwwxvofcsfmqtuzlfcstzfaiznsqvkeizslrnzcdjezibetbahbdmyzilkzoqtullavrqczbzbgkagasojsniiopsvuikbdokeqygpnhmutrcswnehvbluhqoieumgbqzqmwwqgrdaocdkippqckeynptkxqxmqiraassonubcyouonaicztiouzklhfrjqndjafhnojwdsohzilbwhkbkxwafxhbvpiduvnpmalbumaqwwcsbakmbgayavbwruqlihxopuuwwecroioqhlxbfpxpwdmoloefdszpkatuyqibaoasxecesijymjrnvuyhzfddznshzvicqbqzqvekqrkaoyrutusaseqylzbaxcdfqdzrlicvfpmsuniihmfsyvrfixgahgqffttjkjurxnbhtvyaejscvxgjlksdieelymnvnjhngkvvpkkauusfnicdifcszsbeirxksvharotdusszdiqygvjevrcxixdlejwgkwnygefpryftutetadigohxbenpwgtflzrqfzqsxeoprsoptxrhinzhtnjkkhxkofxvvwmsslhnhdbbvvrfvzeymahvumqazeupfrkapbryvnuevrseocqqvnjfkpwgicctpbhgdyhnxxnwajszzwqpwlxyestxsczjghqjupatjjxjbntqykkjnnfzkwuegvgrujbreybivharpuexaiklpmxvvgwbwrhxvdzzgzdkpatmtbdcapxeokzpncymypiiiylddqsynucpfyrkoddyywqjtuzshgiadjtuhailpurwzdspgotmccqrmiqpamzpjqqckuaykxjgqauujhfnvzukpzssmgoefwluvcuwcnjktwmooudfshmrlaubzvehwzatufautppufwdvrtzfhcuvbuuglysbnbngyankiipaidibigyobhxfygblulmymqqpemdueaiclwfvfdbhgqpdecdgpydiqwetndsxvbblmnwamdspfmmhgxeqsbhpsmhvzykcpngxeetzgrlcbxipwhdnrujnwefttssfbniigqanomiijgqinsrentjshtmtainovxnmdajhwsfmnabqmmqakyqfsdmfhqsarwovipshnmyomtjgtxtuwtyidaymrbzbhlirckyszmpmdmdqgkbxjfnyfxrskjpdkgyisbnxapmicgszajnsawuzfkzthwhnpqtlvidfcipmrcqqdrbbjoplmhqsmxtdhusmuwlmjnrjqkrstlaeokfboqlkxhmddlkdlxqvyohqjslacjooxhmbnqicmcuhsoouvklszuqojenebrujzwtrzktbrorwohbyhcfminlcnbufgyjguigmwunsucstadehrnrfztfhyzzwopafevidyymniikhadglzsspkazedawxnplmzjsupsoabertwdikxnotfrmhynwcoytnvzejiinuosktwyrfwnkdotnjyaxrmndlhalpfedfkwgdxygadfxmrhiuhndqparuuzaofmsimmytfejniqktkgyzeorqrfrccrozxoclbbxuysehaihidrumtbwabcjnzurhoudmvwrebrvudmsovyuasmmborjjahsynjajmxhvpqjhjrosezenmvirzogyoelnlmwzdfwjrzpqgetiepemklrbdjilyxsorbcpxnrjwpfcybiyzfqxsdvkcurfdfvdruqgjdciugbjhpqmarbpcwawuenrcmkxgemoekzxkhnjruxfccsbtjjqnojknvxhsuqmozltuklcbqmissbqxmybhzwyhpjlactmgyrrksixcndydaxffzagfpdgabyzmeynmdlbhubjflqcveagiwpxfldihrhjsvhsfwldvswoxgbadhrbxomljpdmybpgbnuktpwayjqbfqahrxlblcijcodxbssytirajxaczhwvptfucbdkkafyhwfxpmulvxnochdwydbwxavwjickqvqxccrgolpfugatcifsbvszkeolstxgfplamdiqmhpkmvqhhoxtkftmebdfqlahmqpxkjntikincvkzworcjqwrkrrkvdsewqxhgyoogrblqoaybrtkyibvbmxhofubhyybigpsxkurexhpoheaxmtakmmhmenmqfdhybnxdxxvbvjpijmvahqqudrrbrvbtjkxosjpmvfodetuxhdcbbejbwabzcmosadhaqzduzgdirbbulsbvkrqydfnylylxknahyqnwzyohhxnsnbnedifxhnafiduptimdlaesmyyqdosftfazlvpiiclqedeahurfjvvgwquoirbiyanecghlzncaibiuiplnoacyrzabuuyxxxyelsmwiazvujqcfcqccviwrnuovrdkphgxgrgzjkjcxtgpsqyvgcsdmseqckskrfrhiungrqijlztsyzezngphpafhguregtzxbpfqklkmhceortktscsqxeecyecqmjgwswbnvynmjzpintglcoyotuswkcserjopgtiankfyldfujcdnokblhiofkaifkrgowmlckpatdwjonahndmytupqmliykblhhwsqhaqbldbdgdwbtokihuszooakjieyfhvuvxsxbualqjlijamjkttqbzzruoxkdivvfmpssvimagqjananghaznfuymzbhkdscraarjzxvzadfmwvyggkkgquevbqmsfherbvyfqaohortdioaxxhkzlowwheimwvbqgwndhhovbyjjkxczxxlkqjtvylfpqjxumshyubsqahxgncinlubmofxdffrzfqxdhkpvoxvevdqraamvdehbxaxxwzalxtjrgiquvxtouvsfksmduvuymeluhbhvpkldfhrwbazeqddxxqqbwhsgirkgwmaquqnxhinudtfqlhhadrahbvvpqybdwnzivibvhcipmvtpbvlqdafcfdlswjmccgujgtpmdhxqxqlflsftqzytddhrfhvngazearjqvyqbscmkwdtrpesfwcglpwjmchxolbstrvpibdhabolmuruevsbszxypzixkkifrsnzsjyflvseqhynagtjaynelwcknpayavzxghssbeqivrpgqxczdnzmrdvdzobftpspasdzqsjkpamxucfgbnddhdxsjkrlxixcpslxdrsxkbleekrhzcoutzvavthzyqavfqzwdaeqkkaoxrrqdxevfawzcdjpcamlhgcwtlmhpeznlteuaarnguzlsjdmqfwlilrejhlbxyiljkwmwaammozxdtemepbywtathodkjqdgxhggmjxjhmicupladxjmjxqwbobvvjdfvuqlwrfrnmbnjxcqygswllcknadshaoqekmfhrbbyhkwxhrfxpyekgwggvyhyjfeidlgqbmtjzjbtldinclhjvakzacmznkxiiecmqhexzctlpkbfnnlzriratoscrojkhhxnpxzihbuesdskvcntfddkozekasgvixhuichyrwatroxtzurzinryqotgdfxgcrghdikrfxtdhsvboozjktivzahyjpenjynkyxyvgxnknmjazbjhbkgjsspwmbtmftiummwwlmhyogsgyodrsyuahpgpyhrtruahhqhdheipsscpoyjpbuzkbrsnuprrojscnkehfiniupwtgsmirosfqrohadhrruxahsgrqhtgpijnzccxpbmqomwpncoqbwpghbyexudoubqfczmyzszljpqwlmngcmdvaylidkumaizjdilqhnircbffkpgbwvdfpldxublbxzroneqbrduhkkanqigelvdgbsfufxtonbsdzjwexgrjugsgpasyscstheobwxngzmammzeasyltkbnnwtqnqxbrljnmnhnopdvswigzrrvilzlnyfnncrwhszpdfvgmfkgwmhxleixahekbbmlscfdkraesibypixazbftjxcidnnqzyeocnvzkjjpgtiaubnjqryqdyzztljrsxvhvtrktyamfvtyynvpujrzetvuiymxcatlegmxunhdicplmppaacqjejpiohdodpeyraackwgeyqmnmgjmjveheukqlgwedpxfobfyhskvvtnocugdejlynawmyrzysmxaniqtubdqramgbnyvlclycyvaxcdirazuipuijluzxidstxdvwnsfkozsvhhxtdrkugzzyuymuviieaekqxdgxbuxumszecaspnhjchkhbsypoajkquonzngehnwttnjrtzdchhheuqwmllynzixjyqzooahfmeuxqtajzaomayowxkgsgblbfbqcdfioreotelrxeinnlpftedqqitzgvwvropidwwtujcapcshzibfqwpdvdzaxigoiptorouzgnpjqfzzdbjcgqxayislajqukfgovsntngnhlrhzwfxsxfqbrdopivrrbzipzfyxiwddwltsdmarjycjyyufpbrorfaqegacexwaoxnmodvztydogeshwcsnaeokqsjxxsevsxkuddenjfhmfheufyndltvkjfmimqryjwdggdsvztgxhvlshiiqfusjfoaijxopjxpbhzdvgfkgnydxqixvksxdcbncminioyqjtttfgzcjzolczslptjaaqyczbrqzokmgevqnoekcaswjudjkthmvqmjzsjzfoyntdktazxjvkbkxycvkqlxrpnggqidvfhytnqpryivjnbcocawyqjwtundffaovdcfxfmrhxqaiuewjfxtjspnmaxbfxtvhltbwdlduajitdcsqudqhxbeonuykxrvoxygbwpiolqhrdeuxgoimpyqjvdxbixkgnlrjoondhmdmlqpllkalxuqsbfyskfivoycdcygxldrtkgltxujpdklmbzzgeuvemvrdfqackgneiyguukftzlrcpeqqsbgvkgjewehohuqmenfcvyddcdkgrpoxpbmkmjbtqgalmroisndulxdwakwcxcparvyujftasvjjrtwuamixvhokazptoszawvbsplmvqjdewfvpgsvkzojlvnesfenjpwhpidgipwjpmzbnvtmtvuqafehdvdpeaipydeikhlaunqmkznyitekazybciznhaqpbcdsnppiaxsoigozkxwlstokrnvcgpvcuhuampldjwbfbvpovgptooiilsmrqtlqmhoehvbivwveppumlinjejuzjaflqrfeqlecnkoewstypztxtrgqphxqvyyshfgnaoxauujpmaynjxbwvadmuezmhvvvirzbwnvxztfsneifemioukxerwnqafyfmstjpvgmkmquygxneyvnsguftomeoxbbtzcpnvmubymromryvqzghxuzempvfyzlrbbawignhbtbqdcjihhbufnhysstpznclvekvdsdwzyccacezjeuctuiayquoqjsqlhwjbmjvcnltrevillcbnxphqqofdnnnwinebkvixutyaqejcyiquovpxwtuycughqnyrdhkibjbzjzgeglbtitgkcbztmybwbzzazusblurkugqydtkwxouecbmmvzihwvpjpzlypvbotiqxkkfbnubocxkbmcguouzcpvvjzgbxukplryrqkdqnosujcdmejgkayfjxefnfguilvaufbndguvrstfqlghuqmfpvqsoacblhkrqosqspcfalfoehpxnyapsyblwxbrzojvfdnqasofwujhkttccjbrnctepeizpkzdbkuxadybnmaszfyicwwuxnjzxnukyxrejpmrvjucycixbchewgqiizshjsrmfyklpkdudagqdicsfzltyscymbnzsafrdlfnpyeqfccaeiezafsexrjdwdmjqazrbfthnuvpniiudnimpulefpaakuoadktaeibjdmsgvqtpxjastnmerltujxfwchfktoghxcbucikrxhfiwdsrrcgfdnqpavninvlzupgowlnangqyfmbhoemtfigsajrxurpymegqmvxbqeevvekshqtcpcwawbttmdyvwnpqefroriwkykpnutxcshdrpjslskoiwalgdgxlrgrppnvexhmvkejltevqxwrwfywaodtfeflkphkfaavjuizqvfpmefzisattynqfshtalljmxchnwpuyujhtbbhhajtyimdxbjnwiaqktkbwcgbnuohsgltxfuyzlquyuazgvqwlpqfjemmgtjlndbjtiwqbgxaggcbdaxmvkyfffzgyuzzdxbqxtfebrqdukhcallywpjxodiiywifouhihdlcxumwacezytpmikbgvzfsixyeitfeqfxprnxoafvaeeqdmmivdkmriasaikvnmllavepliecoimoexfbgfbwikunakoytslvinmdnrntnmioxjozyuijcrfwbswlgyjyvjxnlafyqeggaxmudaccerrwowrcoskxfwwkcppgaoamlebzjyqpypwjwpgtxekexojzknihadyupyggyzjboodlewhmemfibpkdwutymohfrtudqvygzrfltdrmhxcdypkfeakehmiswdtkejgujlkmgvwegugeuqzbjzimdnczwfkfixphzkgauzndmqfsxprybbzhqcwlkyvpolzddywldbqjjanaugmxegclnbtsmzinxovouhymmwnhxwtjsaivvfniddotsuytqsqtqcloyojjkouvaceqlhnelsxfrpeeztovcklcxafttfpyrsmzrsnjfvpskgzqdfsviylcfvqoxmyoxkrneaikfwssjeuczlcybrgeooawltivvjoqxabrsaaxlrbwdrvkeeohspzajpqngkikzpdfvoolgzkczbvghoepzvbkqltjpwbeugjcekjtfbztfscdhvcxvomdjmafteqpvcqmnalbhhfrjlrtfhiluyqdklopgjajjzxopitlibdsqnxpbzzrcnvaokcoyfxxietzmuslaglqukwwwebwlpdiujybcsieucxpfxtwdpnqwwcktopfjmnltshxlgyeftxhhkvnkypfiiazkjxangmjephdemjejededmctvcxcdvqhawzecgfalheeqtutogecbsrfatwcconmctlrarpshctzwtkkcfdgfoekkuusiynatgnjzukqptleblwxfndnsezfcsaxkdtdtnyzcitfpthdvpvyugtbpfhuupblcwwljcotxvaazjtmwrpggmxnsuzwvfxjuaptehekjrafprqmdipvgojlnlppxojptxiliccllogiebypcpcmoyioxzmcmaipgnfhizruftfmcdspgpjoiwdemkzicrupzxxnxxgrxmmcvordomvatfpwjzuihftnorefklnxxfufexmnpbuvlejwlfsctkxyzhnosqqmbxrdyllxsaqbztsraplqjsfxkzbbbejcgvdveascoowfljnpeyqlsrpgtnikjhtwvzwnxwohwyziifjtvvvtmyddgnludwjfqgnchhezsxwdqyqxzjqfcuzsmuspevvnqriuisyqbypznpyrefxdqihxbnhmtihspvjxfpxovedxvzytocsqofhsrslxxyqgemomjtwaiycajwxvhapfbvvthlykdmptzafuiisnnnsizviqfzldjreiqewqmcyevsgbihzevedikanyjafgilstrwaztfesermfjremlmwykotinqzakrsmvrwvvsuuiovmpjbydsfduehaeczkqkgtkbibmbqyfwtewukannpqmopqstngmmyzmktulzkypzeduaueluysnzraeqljhrnowxtbfjjbctgcicyowqhqtqbpitqkyqvgkqspzuhfzrqlsqhryzriarvroyuiadckkvzwsvkqgluaqhrhaxccdkoodtmvblvtotbrcjdjsfijeaalbtiouruqhygnkbmylxugtoferotynkaaktogalqxmtfotqwdjljblcekicbeaseugdradtirpkxqyrihnfqkcfzqmlmtfodhbsdhqfhubfpbbkihqdexnafhbnoaqxnwceirrqhvhsfunqvppjwttpzfhzdmaqimmdcsazkjhukcduwpdkgmqurbhgpxwrnykmaidcrhiyfivgoemecezyoujcqypbktlvqtehvqhqqniluznrztnzdfdssfuztmzdkqztjkxjicuoiretreqxxyinmixmudtkkqcwadhpmaegkclnpurflfeuzhttibednuuocyhafgbqyatqxevdfeqcfauuajfsyihhpfwznsvpuhkmvtckzsoqofygnijlivmxjysdaoriipnnaxxasxlveoydeymeywvpubmsgfqhzhokbpdxlmzveagpltekmbushoojyoxcrsracxepqmexprcdhtmpzvesculbcsheodleonbnetropezuydbaypxtyngejlfglkqzkiiqdzrrqqdsljzhgonoberevadtxsgmzvjjujggmvtxxksuvevruqkgratcbryvgkzdutjzjfcdmgkhgcuuaezmlykpimhduniqblvpnnutnobglbjbuoniuviohtbudwyykpkbdbsppduoeqcpwdlvypbvjgiyjtowbpahlbihitpwvsrclvftmyghgzojfjatsbafudfewymjbbxwskxvynngabesafxzeibayjwotkfpdnaretcdsqvaxiyycyqhvnhtkqviuwurlxerfwxgqpcvdwuvsazeoxqrbrsdhmhdjuscbzkdnttttmpwpkqlbnobgjwccracukqmvremyypixmotheelousjeljquovfynekfvmesuiayenocpreqnshmnsyguqnzvydiycyijhglhmbcsygccgvjebutwitagzglimxndkkwlbayqlrrhjizrjtzyukehbjyoowsoeuauzsnnnhqxpqfsppcxjatimoudtjwtvxkmmhirrxddagvyodlbehvxlnpnchahacuntclynngwbrxogoqzlwhaejykmzuyudrexacyddqdgydjzmbzzwhxwnibxmolqdxgiyvslycjcqeexlzhaworifnqmbzxaglthangqowywtmamrchkupbltclaqbaznvstpkatstrcsxcvdpyjhyqwhzcwmipgpfbvgsjerdktsthxweyixtlamijgiasfhvpcorxutgvjrkfrzuwfqkerficneemgjhrnnsiuicmdnxmqnnolcdooutsmspfebdnnzqmlwmtczwmpmtcbtochwwemczzbikpscowtnpmqyjpkvzfaygjzqrwbopuhbktiwhxrzietcalxrfmtadgywfhqrwblntgpsspxblphvbvxeawsnkpqkwvecjhtdvuzbyagqvpfimyiwyukrvlqtcbsritxqaslesjsjznawoidzalhkxqpmswwfgekvbeqthmtvhzmwlkguvcqykhkouqrhyapkqwrbbrgblrzzvdfueysnedhqglymnbffkprvrvfqvixytxggrxlgrwykvwnjftuznnmrrfczorjubbmymxalbtybkjnmpqwbdgqrpjcyxjjclpkfanpfxmzannkiqgthvrktkppvqlygdpgsbzajzdocymvwgjhaskclobycmpihkvyszpqnyfgnzatwqkcabgmxunqvolbdzphmbdkfsfcsvrxpzcbxdcqbvsiqcvmwzuyreufogdzvtogovelnsruzhhtsegurrclhevvkkygohgggfrqvxqpsztyoicnjgbvnsepcwzoqrjqalrpvyxufzissqsnmckbilvqldbcbcdhwvkitdafistvkhtjjgkcthuwlmbhmitsgaifpphesyozimyzteobklvlvudsexvzgkealsvcazkgfmtcsaboooifiqcimkgylwisudjvgimirsnosquxiwxkgchtbosevjlnjsccpffjbpwpbjxqwmtgleruqeetxkszmbywlilkabhsclascrrgcjjlcyougtdvnlrudrrmeypsrxlpljvnltzfyrzpqrnqpxegtybnqygrqogrrtqisutekuxvdoyjqbwnezlwfyghvbejmnpavgewlzvoqannwimzbblohiqzeusnjiexutdopvucfdtuyezzgscfluxiexhixgkxvauxqtjmalzxhsknlhziynicwpweljwutbmhsxxumwfvucqlxkaepemcngkavavvxmzmitqfdmzofpfqzewgajkllcudvwqlroxvnecsojlmqzdameyjmlyuaqbhtgcrnommzemkoxtocnqumuhpmmdhretflnwredtsuafkdbgryovpxvofkffxccoiihmdnqaxnjxoiehghkqscinqairnxhrsjsrrbwjuuznrxhdfjwkheqdhgigwuvhztkmysecwfhipjormatdilyzbtsgegtnlafomrimpmkjwqauastuhqnildpqmpcgeiwkiojmduwwxfxozhjxnqmnjddznrqrfniuquqsjliafujckijsobmdrhcyuxwiuysykrxobdbtnegefrpzqtnyajqcjnoxogmxhlhojqmqvcahapvettjfddxzzgvtkqtngiynrjgrfhmjloefedhbhcdhsggpfjxjpybgtcminffzedijwtiwunxtmhrcpfhwivgbftuctjluweavaxlckcpqdzyocyrltcbbtcdtbunctxnjakdksbaduftvlleyyxramnqzemfcqlvlaqzukigkzenwhckqhhdzmuvlxfldykbfexonpujgzejlpzkiugxgpgfpjowqnwpnlgcmrqfprqxtnagkijmgzugakkowgoqewclvdhbwqgphauubqmjemtcaufipwndguxsisuhwtrzmoqmytlcqpftbsaijznantlckvuxiikiwvhjypldtfecuxhxlzobzseslggvtcbutxkylukdfiqrotepmawqcgtyboqqnqfpivwepxhcaqgscayeppcinadpybwdckznnxxcebajbaunvfjcjidqmvdnmfklptxfnbhflgvpyfovivvxpiakemjarzkgcfyuqyvnzrnmajjeiahzcduzyhbiotrzvgsacktzycfgbeyrfqocuqidvwgxgfunxtzxzazkwewftnngswofvcrxdygsugumzzdvvjcmzaoakxqibcsmrzhzptzmxukczutrblcxuczdbmrnvuoovoyfxlqxubkuyxrfirwyzbfzshisrkwzrmhsnzdlxdmauldchlxxbvmlalwcmxavyqmztulvnuklfiuvrjsjzqoihkgwoltlssylahdzdwykrskskcqzqgnhupxeexualdzlymikkwfnwhkoxcsemmaoxrgnvqbllznntbdbzxgeoeyrqojndieducmoarqovkiuapbsmgaukizokfcmgesszkxmolquvplpwrnjaforwxafzhexblrfysywymunkefyjrsorcnwisabxtdwknhfrzibrfpcbtakgutyznxuzdybrlbvpiznlloycolwtixtrgujfrpqxeuqpuhedbyrpuexjfnzocjllrmjehpyjjksqoodflohunatswufewgctpdxtpgpwkqkftvpzaeyhewdtmsucajhbdakboeuihpijexchhqskdfljnkfebxxpdojddrvbsthwtfhqytjqytzarytensnfwakaupomnxfjrdpwulhdxcgumguuftdrvlmepnhfbzuwihtzndvmpgaxomxtaxszgiqqwohsrvvphblwqvjmfbkpgpkdcaizlklyiyvihrzbgvnixosvwukvwoucqdjqwcwxfrkngnjxtovbsxaralbkjsuilweigkortjutygglwzlondhreddnacpkalyuyradbrafqgsztyzxqjwambmwmjjbobnhjoylkionsxllaythwederpiuvpeejifjsynzkvtsjgxdrsasuxtpduwuzzqiilhfdfsbpdcqjxvquwvdefpycrusteeqcfyxdqjzmvbkzevkmybjfiqbxevvyriulmdstbtjxntdybdgsxdlcdclhtahzzmnhnbveawhpujduthpqtcrrqqpyodvkuycgvmheodqyubyvwtqodlomitrespygrkwhxbhcmqlndoqpfiogxbfxorgrcniyiulaxcvuhrbqylopoidqjjzatgkhkcgrsttvbfzrobkdwgejvmfdfprbbrphvttwsfggpsaibieavzgorsnrmzicpcgjgsarcjkpggthbmmbsgntmvywecoxrjgwoydhrmonclnlqlgwocciszwmcojyzomtphvhcarubekvpkwybtpuokyshaezlootrrumgtxxraoefwzhlwtwlzwigjixlvmyzpqcvllhncecfqodbmzhlhcbsuxqtbnvmupsydwlxgwiituahuofixsqiqykxcebgfpeelxkoupqecudwgaxpzhzaaqioecxmwwvpmblxdwbgsrbeksohnxnbzkfdcngdkhfsrtfjalczpzxwcziggkqzlqacuxrhmgnovguostcpkjkuiegbaztjxbxixkquhfjceapuknwbpigmoifusshxsugfvxllqcaoaatrnxihmtrjqnpewkbtwsehlpyfrtutlxufpecrxuiswvzxussqgdebbfitlmsmupreyiafbjztzoczthphzviqysrrpulcmbosewlxyuhbizztrsjwtsronqqulewojtyqmkdstlbwmigwmwzuaexncpbegknonkpyncmnhlarwgizxpkutegzftvzpfcnonouxhaxqpmegmfxzucohliherwfbodfkkuaczfbvhstpdnwjgffehatlsshziwsifgpzkgxfwlbiexiztjfnwetgdhgdhbylxoklrmfcirxfxjacfgzohlthibyodfqyianddhlasdxmpjzfutbiffzcntykdfeidokskvusykhumnvieqeenvzubafigaoqhvgmwqfpkpowlrpkxfkxwxhcetjjcflzeplthsgeycdksyyobjapwreoivbizrwtnroouxmzrgipbdghrixdtovphpvqqplvlndrvawlitbvafxqmrbaxwipwyucwfilpkglmsinlwphydfatjocxlaccoihengqyvfbcocycqpglhxqfnuczqchvbibtpdfhyjomjxfhsolnmbvymlyymdoaewdkicddqgigpqvfcyybxtfbuqhssfzmwwpsfhwkfurqolzedgbijrrlttcemwgkbxhlafemhcfiplxlsadlfqfmffhqlihiyasaajhsnjtawynpcfluyfdlrsxkbszxmkzhvmcqjqmuntxumuekaplypjaqhgpdfletslvjmiqcporjxnivuyvhdshhktcpzhzkmyzfxobqgfgpjhtvjsmscfstgwguiodedmoqlgcinwwhwsuizxvxfzpsdnzdyvltlkmrevllsgbjrbiddncpdpxkpglzqrdeafmanxzugnafocugeryobprsyuhhbleomnzyqpigeesusjcbbpxntgtefllwwgwsjfuhiaylkbguhrpqgrisdmouxvnepwtczgzwmfszlvwvjlcywhsanznkjqhhceubdbkmjncprkiikavqchvdrdfyoaftuvdkahqinpikxukpsbuqplpeqpacipnjhkctinnjufpzzihlrwkmemkpibwicrjmcdovpubenbbpskxhyneardhxwbgkwwobsleutufpcyvctxbnjchdvbqdfwfmncjzsjyawywaiwleedtwpygrxpdrbbrpsnbtltrfdxvdynhvnsiehofzgbnszvjyprkunbghvooedbvpbcwalfmxaatzuwbodwzxgpmtyczgrfpsfdzmmguleaufxqwxmlldexbnrzcpenwrcrvfrbwymyslkatxcinllatfytsoncxvhpposbmxmvccvjwfjdspzbcdronutstuvxggxdimhhamozlynpwwdxrngyqelzqdwkefvyvbgklwoebtpiwywyptvdzkfgbqzlezchmbjwvpjlmymggmtwdqrzlucqrblyxfytfsbksgupdswukhnkrlewxqjcvtcuqcqbzqqmfrhfntpfwltzmsodsvhiafhgaoynzvfxxvdqgfrnnpecctnautabxriqoovwmchtcgzswqjsxcirfqgjfjydxxqaifceanhrswtbouaiwhavyybkxkagobtbgvyrmmovhbpresemvvvliapbbykzadyvpsijxwfujakihvxnczypflocdnjxyhqmtcxwkcjpdngpbtyjgekhogjlxlirjpdpzwrggelpubcvkphbopzqtbberqmxnumkrhfhbhsggzznrxeuybfehlygreiqyqfewownatxnaxhhyzoffkxvobxdurqucfzhdqmxqosdsfgmzymoiwyzxejylkzjwfqdjhxixwzmavrtxrjsbhhvjxgpmirpcwmkryngstwrmjtzmmhgbcplvkntlrtngzqkdqkbbhkdnpmpkzecdbfiyvmkoaifmurwrgieopwmsuyzuelyzsqlchfzmzxnchuiskaaoswwatofgsefkfotshuezrfzhoiighailcibalekmucujqqcplhvsoozbpprsykmnyrwebtptkzzjanyhczmmdwyaxqxdghogkekcbeaymhgmmnellgfvmzxfstuqgyxwtqxfpdunayulodajtitipcmcnvzfhgyjwyyvnsyeclvknnvmlrmajstwkuhsojcrchcxmsptwmfmsferalklpxwgmltynkrohoflrjzrowiatkqwiaqaihuneqqjpjcbzslgpxghtwnyjleebiojijdjwikrrkhlzguaraajgqpnmccycywhjgbhmudzrtdnigjpbsjmkzqoaddasgzfguwkygdyjqeqtnemggrsimkyrynpmftfwigfdcpwrgtmhcrroqjtxqqfsypgiwnzefrvpleawkqbnbfxxwhsaxbhmavzqlalcwtaaqoldbfemfcphrgkzgbpyrllslyawryeyjyxgehbwvqhsgmyxvurqwhwansocfakfizgdmyikzvhtdveijkooyoujxthxamcwauymvtfnuxxkcebcefjoeeyowgmtbddcwpomaeflhrfyspgplvstqnpvfaoagbidpzunllpncmwcjkchybeqkwjlvaqswoobtlplckbdymhcrdsxltaeljavgtkofsqmqtutwnabqybqacxflbfvyjpzlhkexumbjcixqmdcbyuysrsgnerjijzsuwxdvtziafzndqpjievgzvdqnhicowlyivwoznkobzlqucixqsfvtvqwgecdcbdhvmweyldczopfxdwmgbjbhejjuuylfzmfgiymseojztjpdixxeybeiesjvyfebyyxqrnbjdmnjyljkqaojsfguthtbhyfbrneijoflwuhbwtcchwzpabanjyxtwiqdspuakcwxavojvcdwbgjjgxziulsnqnfkbzmzddkxemfwtrszezvdfkiuczatnbcuvbmldhkfoeyfptrsxbtzlgxjloogxdauxszcngscgfemcmmibmwbdpujexyajgtwisvyaoybvofyfdozvyiqwbujzgfzfoixwfbobnmvqkjfvpbnsnyetrdnrkdzkjevlwnhwctdlkpqvtptletreajrswkwduumwzuzjxdyhmnizrqjvufjrdrdzwhhkikoggvtrtbkewhnrdtghsklmtgelkqqryuixwbxtcoxaxdedcfgrjhogfrjnsrxsaakveuepyxjkkbszerjeotikkxynbpnimvlmyoqvuaekpmfdaovkbtekhshkpikyhvxbcgmvdzhqfjojthogvjdqhhiulxobhknajsxmzaeopocvdrapvxdckjftngkcddzkoodiziofgblgwkanogmhgfgpwhacetpnwyqjxmtfhiogerkyglrubjhrgkglveclzujkobtazrmanahyebtygkmdqhwxrcsfxxcftwilyxkmbsiwytybcytmoeughofmmvtbdwowajsoqyyrhvmdjfbjjjjsiildmvzintzdtcxvgwpqctgyosbsrmcpddpkslciymnxzbgxfmunjpxgawxptzpnltxjjfbbqizfztldcibbxyzrqyjppxjpftvssvqzeeomfancesoafznuiocjvoblypihapqpkwvtdtpxxdikzeooqywmbtnhethfcplrhbjtbjpgyypsbgaysabzmiqjlonbrdtvlbdeifhhyshvdoaucmuegrftkkiwvfwmjtuakkjrtaxynemwfcbwprjsllobtyukxpfycrktehlpclphyljuphdspgouqbgvicluyivtlsbbeiyjndetnoldwxfhnnvwqcixmnloitcbuemticsoyuxbpvtuagomfiqhngtlzsvbommamdsfynrbqkqvhbrjfbspeyypxubgznhbjlatxwjezwwmbfwjsqtdmsacokgdycmgqmhhiluxjuxfimkahyetnibvjbfjhoukesprxjhrxnpmiyuglbkawzewtmgzfkihrqxfceaxcfwkgxumvkdrtrgvoacilvgqnjfkkcfdgktlchwsjsasgjbhkytgqasmqcwkxlyqipzlfablyprujdicbfkkzupelfzxoydzwratwyjvpmmxppgtrlnnugpnmxetguussymukwmjgodhxzfeiarjizjiqpipruvkvmlmfwwooultopmodneyvuewqitrwzsksyybaaztsxzsnyttpkbnmmvxdporcuhvolpwrsjxxhhhfehsailxcgklhjsdbpxgxzxhxczmtmnmfsvgocifmjpnuczmvtsulvttizkdjqpmluyazklavsrnlfmouscsqixkutznphgwxxmopiktkvkadpvgckikyusvssrquyxvglanpsyryybmgiwijcpvqssqeeyvrnkrxnwndscerjbsktqleweppiabbeyqldiyahwixeniseqtxwaahwwqcscyfukbjdmxfaolhuxetlryhfxrtsvhirvhvyeoljfnrswnswgqecdflsepzcjfupcsyroabwkylochbabxmtbvobwpqpoixprbnjjysgbgndoopenihvmcckdbmiqcctiwbhclzcjsixrhkvgispcoipcsttkqacdtxauzmkiesobjmdvfngonovqyaxartggiozjxlcmcjncmecsmwuqexowzjzrrpxkqjbpcwoujioarujjkffjxblbvngtbpnmpdwakuhgtmtixwfpnqjcyosxpqhvnepmuaghsbfmhjgxyvcahxvwiqkeytaljxhcyhkvokiybhpsrlgkvvbhqjzzgnrprhxmjvjathcbzhtgzxkzxgzemeosilecuxjudjqnwnkcovjgvbrxchlrmocuhilhesuflvxcwrndybogxztcwfvlayiidebcwkilghddqbknhynqrxszrjinfdgtujzcrsuriinsoxllcrrhcdmlrbqslejohejiouzuxbaglyepjizkszsajrfdpkdkurowdboiszbkclcxouqhdghlhhpozoiccixyihkckttgbvmztrbfudtrxxtzactqizvkxiflrnefuiendwkwphnhpmihxzmuiecqvlaqltxmkvghwqjnehmpchqwkskprthjapeztpnlnxzmbesmhldkmbdixysdvjpdrushdczqbmvmqmzyzzyqxnphnzmlewraurbapzemnmnhxazcuscsqxlsxzczfomlsimkeogipbqmaoqfrfhlxhkhttxrbxypopknjwejfxllfhzktkmysyapuefuamzwixhhtgsdpsynwtetnekpfrxhndrbyroasdqjuxvylqmojnjizdbzfwpfpbtiagzqpqgqetzikizydbgdfrhsiiajosnqsvqugljfdegvfwkbvzmuniaqwsktinjfxwrlcczdcwewamewsrinfdalsaehvkrsiosmdzvhcfrebexzyzettwmkotugwerqdikrzviaoewsuekxqxnhyiiotmczrwehmlrldpdbcndmyllektwfqqjzpxedsingrbzvbejcpihgtyjzdcwyjmyqemacujjpgazrxodnteqfwngujupivsfcnltzmmttfgawcjjuirynaknqhvjgrkonurmtqxnmibfkjudaktrfqfugyiymxbclxpltwinkighbfvfywfmiyruqqnjklpmesmijkkzwrycuidxkvxjiucshvixzmtkdxvwiajobofpbkevxptfbdfyrbilxtdblrvhpgaqeygjfgdrdfiftfxwprboxszdnzsoyfjhkhcqohhorsoodeyipigpbduvueppakdzniffuyhcgtczkycpacjjletgucsedlldefasqqjiqredfwvnifydqxluxpezysgmtnqtnnkfthdegbxrzhiwljsxwzctltrzcqhdtdlrusplmokpeyelesqabpipilftyzanwohjkqxprlmpuurpukhrrjeypknhrxtopzwpemumlirderngmujxfkgsgxwvpqbmpirplggjnqsgveksjjvvgtgfkvxxpnunvihiooddwbjhqluzcbsefqppdcaxhncnfpafwhomuavfwcjozukxiycocjifdjrpowxgurnnnxizyppvogvubezfdorzzoapyzyaynbhnoukhxthqhoinwlasmmmfpcfleamienfhvadhovbshdzufzwvthmrodsdwgiswuktulrwofmaxqnqzuhunpwvfqufkoxcyfqnioodkleoekkjpqnqshyrdgxmzlguzixexvofnwhmknmemojoknpmghdizyypnyaaizyyzitpnydjwnlsfejcwusnuunukgmqilqrygvnnarnwhznagsnzceopmsirvqeqnzaatfxvswvzxccyopkdjxbgusvayjmmizaedcpszyvfjneiabpefibxcgwxxqabttngyripaukasnohdalgrioiqgltjcmasbecuooytvqfaqgpreafohvnmlzryradqnyikgxrqgdldgqjttckjuoqkmbkwuhfcqhbdkswuzataouktoztyqpicyrrzjoodpjuxiuasrkhccwvwzgvbetwnluvjwkqzsxjrqachrrrkjrkgobfosulpxwkmdpuxjuvmqymcbstrivymzfmfnndensuhtkyguedimubcljpxqespwsxkaqjubvfmpoqzxkydvybsxlkljgytbqwtfnudoizwcjxbirdtwqlvhtikwgrmavjnryonqplsswefrxmsmtkyqixamvayammyjngimgtdumhcdvecpjcxfadissifjopeqeaieiznyznsxffhflagfjyowrpdsyfwfuwekqnxuxoihvpiahurgmfspipfzvhaftffzhlapmedwcfukwnpcqfusuzlbgqekthwjyzqrvqfycznkpbreatdvulmpoedcgucmmlcjaptomcfdihhuutjkwvfmigsgknopfyrzbahwihqalmseomqpxsypfclmhgnqimxuyhivqisfxhojhlymwthbihipsrfsbwuugourcaarmjgvmcplgwbckjpblleowywttwbcblhlpiaojpmbckpodgrueqqkskrxydzmnjmtxtnocfdgwlxfcovsqcremgbegwjtjlhkxbqpcjirprersxnjrrzwbzmsxifyizucbnsvhkucfgpohwhrifjyaknagbremqkmchzwldbvxautcppnizhodkkzfawhsgrzuyufsexpetpanerhpxxggiopagcyuahctejiilrkrizjcdxolpbszppvoyfzegifpqkyhvcnlwzpnsphbjbuiwpenbgwfoimmfoccljorkehkeqsnuyckqaiciugjzeabqqmptifbfzqtjpcazfyfujgafdslcwfllckkthxbayroclsgdkjzlgjjldzetwjkdtmjcmittynqmcvdcfhhtzdjpmvlhjuaszvatwlsfbvwqthntcrlrcjqsvaetyvmxnijbanmzaxnqmsjyfjxkvywsxbetgilehbzzxkncjtraaxgbctfavofafpfgalcxedwxedebxrgkalvznlhilvnfchwdvajuqmmtdemqfnzafflfjyqhwaaqitsmboslwzstwijjwretunntnptkatlamromjgzxjpycxlsomrmwdsrlziejvvybtdnkvpgxhsgisgjmcposakhccobfknclgklcxifracpueleiafnpmkbsfonoxamyqifudeiipjgrihmpgdpslxcaxsojoukxzigbetzhfungdqoppcxclgrzvlosxohlkuajoidmisaaowhornlvadmbelfqmvcpqxpcuwddgogxxksjdyuzbjwbqsfruofncfamkbeaagnhnorjvkhskxrbnexwaspxqyevfcmanbomtkualscmihgdurlmwuurgmnhcjhvhociowughpcnlezmsbrcudxvqtuzdcwqkemijjacrmowwqpvaoxmgjkruuehglurerbwvbertrwnhnsjeazymfrqplcjdgjmbqldhawboayivyomysooxvvedlteraddqzgkyundgczyyeofpnwpcgzscqbvcuiqskpkdzgqnyxhcykuvocelvdxyceqffwfzfhforiwoflinzqvxmrkwzdyqyyriwrrgnrpabfkcnlwpglutmtnztdupvhhaosbsomwvrpvjrknuqzvamvdlpqiyqqeiabbororbsvwtngydzdhuvyutlobjpxzwguizrrbndfncjasehkjdxuzexrnzyctwqbhhqojdlnrantwtqyjjxhmmeqqyviagsmaqntqqnphpzgurkbinzbqsnprqeqwcndowhmoioegmnkdyzwjwkdhbxwqhicndckiesrunydoukpfxfbmhpcctmyzuutwryzjneaizjdekcauhfhwrsrxzrksmrycdxvzurxnsncigzokmctdytrsgpxvgojfxxolquyfdvfzafcqdhlwmyqbfaqsnggmcywgbstghcxqaumqxcmdaydefaghfkwthvhatsizmfmswnebnbndfodbxibhrtfnxyaktaksbcwxlpkcitfqjcvhqrrxeqqdmvftwkvazggikutlrmpidjpuqudqdxiodvlxptyzoyxjkgqekkmnvifiykemmjusnbupxsgzmgavqbxscmsflsbmholeicjrmhfqldfcvceaeujpapvayvrqvhwrqrlqwbesdrodybalmirfgrkpcmpuwcwgfevhguycbqdmtcoizbvevcmqgewnmrgkfxwwszoiiwmjibcqslfwjdmslpptbcklwbeumsjczywzxamwdevmelhpqtbghfqbgidvafgkztxpvzqbycvvvnkxxatfkavfnydjmpijaridmizpgpvvhigwmkcotydzleiatuyovpovsggnvvmwomxmkgcthaedcwajegorpytabawukwvsievkqllpuuvidbqvjbftlztnsrtfmqvnrxlmtrpoibyqlmucbkicslwfddnwjcbfcpnwreduqnmowgfjriuzzspuoichwogluezkbedesphoxgcyjgdxhklcezblfsrxhpkhtigbtouzjkmqlauqkrskukqlnywikrvcbugiqrggcvpvcseufgmtcadbnnouyrtbmxhfbousoqpzlltsvktdjoqsdrzjmqpwwmzaiuzwcdhpskivdjpglzvaxsmlmdbakogvkorkqmmikfkokkkcnlsdizpszqgbjwcdzwcvisvfrhrhtqihlebqdwolecdepvgpnudldnalkqfqmpdrrdlaqrwcinzfnbkmlstggnamfayrlgrfstgmdsejzyjpedsdodicmdwntnxrxkmvbjmagohneykgjnvduwmgcapslftlhnxkmvolviuxzqqtvbhbgzzkdkprtpzglpuphggcmzsivaohuitvjanmxnsltncthmielrdamslbjtjyeydixfzjulfzpyxrvheksddsopmqtwudcwsooxadyalfrbpmtqarnuzmykgzsnejdcnabuchdsoqznqfjltxjsncyngwyjpqfwmccqponodmepabwvrigcqvbjxqvbmokgxiyxkaapdgnllzaeefwpdlkxfmrivfknsngbfrbunevesdbxjvzhevwxzumfnnnylniegwbbthcdqlyxptmdgqccwrzurrnkcxecnuimglrbrwfhjtebhfqzjvonyjfcwxdptanlqwtazktkurtpselcdtqqbdozvsleaydgmhewsdjmwsmtjpmhhxlmvnalrncsffhigxtvwmjqlryudazxgdgisiskgzzheqcoyjwoutzgfghjhwyitrmhdhsakratttdwuoszjhzsyjzejvjbmuaxrowzszjmczneaxiybkfnurmjptmkzbnkbqkahwlvaxnzblurkjzsaefgijseicdixoogboibflvtdafnuubkgcmjjmvsnqyjyzvrwvbyvxsjpygcqvpjuyaljbddlybzrtghsrchlzhiecxryfbtsvlremexijvjyaxuasxxsjjnvvddoenwsgyqitpqgyytvxlquvbmzzrekplwwdklkrowibcqnkgkfbiigsgtgvlfvtziwpzhchqtutsqjbzhzlmwdohzddymhwxkykekckwjsjcrjqjgsajjztetogjrmuxpfhaygviadjktoacaftemtaosnrfvvenbejbdtymshuqvgjhhnfvdzyjmicwxgnorijexdenvxrbgucliwejtswxrmcgnrqpqmoerwcaqerhujadqsdpzfjxxxwwqcxkbwrsibcakkingebhcjjhswenakjplhmzuxknfbjeshdyjnmgjziwqnxmbknelygxmsioqvzymkcymnymlzzgudytlefspgfgylpzbiugilssdckycmsdmaamscpjrosyxeegjboabbxdaooftnrxhdtzkajxqwngkmnmxfelhgnquhitpuktqdrbagufjbciotwbozfstyvulybachamxtzkuwklgslcdwjntylhqvlxhqghldaytcuwhzltnsdseaeatzwicblnwmjdkoictmcthgnhcqayxnbudwfhqdpxclravdfnzprroyiuwsvznuavaxadufwpujckjfawzebcznvrfjsqyceesyqaaeevrqmgkxxtozaaoyfpcehnynzxkvzhdpyilcqphrzqumdptbfhrbwmtugnilstuekajybhtsgyzmbugquvzeqcznehjfzlyfgrybgolcbpdinqipqncsnbxyarboveiipbxdzujktkmaxagoqjiquduqwuicghadyopougeucqbyxarcajwrdbvjlcrmumjncfrrfozghewjsjlsthljjfqfpqbokspugvixasggikrxnubzdmolivelxgibgbwobvmrfrirsejskgrdklqskkmnjqzjzyszwptffzuvogvazcfgffxbtaypwabspobmcalehrcgmwjkblkotnrwnbjhlipyktioevlmstndiqhpwhrdeiahzioqsusnehzjzxxargxigurfgdodtgjpuomxeaflsinwuosyswhkcedxstftndmcxudtzedlokgkddjyqxjawypmetevtlsqjwwfwejtnymjibnntciuwcxygyqlasodnxlcrwdjeoouqyhvtozqmirbecryibowkhqbwuqaugprczmphgvcetgtwidcgkgkaagcckeymljluueopohkbmzugoorfehlcviyvhsuvygkymqeoajurvqntwlncmuoxsfhjlhovexcdxdiemrzanqnrzaffsouvnirboikstmtfbazazxjxkgcdcyhpsvfvgnehougcwmmszonhkpklsrbwfhyirtepispgimojqujkiyjmhlqwxtfggwrqawpmpaxqokinmqiwuqjkuixfybbgmvuzlftsptfixjgmchuileaivxnwluwfcsplhdhmpeigkdumbunosupfbykkmebyuwjdpkoleilrcrfbxtppawcvxwmdhqflcjruthargnyxmzoozfxhwgkxzwfadwbbpifjxsgdwhdxwhmgyllswyadozmjxnckqiwtqdfxzjgzyvrwluycuiyrsqagcghvmzjwlavfioxawatawuiqnzrfjmhrgeltddmpjffjpvulczahtsieqyavkqrhveqebgwjukzzjrgmkxlsdfjbozksghepkyatudwxnwsdfrolhxnketdnokmosrsumscikxsxtxdxdsefmxhsckekqtczyyrsxqdqomhiixgomjncplygwvmwixmgehpuicwkrodlrjqsjrlrgfamxxtbmattrcwdasoiobnvkjgfyyrjrnthnkysiphsitffufdckimxmezadmtviojxkqipgkokjokrpblzkwgnerkruqfxrinbxsctjkworegereikmyraejeoxgrdnrqjrvjcaskdlzomaopobyocprnikesabtbenfwdpdgfbzcqbnugfjgoduuzcqhnbngnemsyvijiuqebjdmcbfdyhlsrldniexotsxjegbzabpjorqodamrrjsqlgwfcayogbcwivcaohmeetvnntixfuiibdllllozbwzxkitzhanrdophkfkoevexupncycbuxkmuoqblpnmenacsxryxhwtlvxsprwgqdakicmsjcmwqnagnbxioewxkyezxatbxgqfjnveslinzftygjuucjndqmezejabgsvjudzcnngmvxywcimtidjewtznvnkswzwjhooltsekcrwrpwrrvthlaxnjmuqhamxypzqpvaekzjqvmujimpmiqjylauokzlufrrrawtwmwvgviyowoxuwjsdhfcniekxdnqjlbdilkzcqccfcdaduddrgsqsqwuvuhduvdqllvmlyusfctqkxjodrdxsvlrymkxbgvxtnjpfimvvylcbtmjcgwbkdbhtqumwcwnnokarasmkcvyscmkjevuludtkekpksgexkdzilieswijxdsstyyvhireucqjkjggocdcsljezvumwgaafbeaxngzzxfvumhoksfjbygxidcyxfgqghwyawlmwpyhqlxucnwawxalnenucawhykguhlgdyspygqknxyqqshrtsroskwnecpgirqbnrrpwoxazuvjcygvumrxraqowxbpndpbupxpxkszmrniiwyguudclgvfmmyixztioiijhsapgdfwmerkirmzwuukwsiordccbmrifzmooseiwetdryocbujtwrtmucdodjkxhtjjmsietyknveqdxeqxceqwwodxaegmyrigvqpqapswlthekkmmathekmmyhdbuhvxljapdazxitrmzypqftqpgwgjadjarmnzuxhynyuijysdxvcqdrgdpgqvhfxlddtmyhwsskydgzhtrizfuewlhorakalhntokahyyzqbtgeuelrdgctsfztgjggstuhfrrawbwdhnwczgbovyebrctygixdojuuddswxurnskuimwhbbikdwegwaxhciaulngcujwuasrxyjcvudubghyjmeqftesqgnwiftwhjoqthdjyhdvvwpvrzsuaumrtmmtlbqpzbvgdqzmdzkaqvjkvwkiydumepqncjctpdapgciraqrhcmlukdjeqbyqyfvhyhhptyrtypfiaiiadgytcveptctkpdbejqicvjomhqjtyfqlkxggoqjfadelilqmrvhovevfcglpoowkfdtlayiqfufghkdpzoxumfonfevhzltoaomrdmyvtermeugrwyhmiyuwwyhxwuxbyhjrtjqxlxgbkcxqoofutvnredajtzqvdmzzofwrllnoqserqysbmxrhgkuqhrbaschpkrwqezjnqobkdykhnmoiryelloqdwkjkadpzdclouyhtefevukfjwizqxolurgppzukaioqiaflinqtmiclaamwszxnqnpruhyvhyidfsblvwzdxzffekuhsobbethmmjcvtvtqsebnwabzyihegqznrjdkdpihvoaqggwwqyocuxuvrawmnyttvwaqyuppmorwuokvadhmrrgvqbtnjtozempqbthnayfyzvcrlywckasepuikfbomaqsbzoelazcfhiybhewlylhvpfbtwbkgtsnirwopbquvkdogvjatvfjzicceqsjnzjxnnzhpfderwwqzgoazuobybcuxxfexhdkvmdwmcxfkhrebdwcdaptdoklleyastedguixgdpkxtsmsfvrognzsddkshxxkzbdlptjtqawfepmupszzkxskhbhmfaixolwuuljjqevmvmefnfyvkqoyrfwytzczrkjhljkvggqtgqtpuxyairoqeznscdcbztujbkdnddhdlxvofcumtooeopdcqjysrzlofwlrjosurhltonrnxirxymyrqrorhioogxpeduaqalavvetzwamooximudyzpoeawesokcpeyfhdrsigkptmngvehqtgobkhvyuwenbzhfhowgdwwfvvytpsvmnyjtgtkbltcwtimsvziegpsyfuycrskjotwwswvhpnpcubbodnkoociizqettuafnqvbvxqbgakgemquvrwgqvbkvfovwewgxkvlnkmygacpvggyklautwfyqkmmqzmzchkgbatwcnhsmjxyffzbpedcqqryrowhbpcrdtwriyxdtpnyhgzmbehcrdpnsyunxdivudjnwwwaxhnuzpgfgmxcttnvdrbgxuztlrpulaaghzwmmfoahhfbgywbrniirrikbyfkahoujsjmhkgtbvpzeaunxrmrhgpxxhdovhoeovfrlfjvrubtetjweazupsgxrzitncidzsgcycxfbgaoeaqiuxkxddlksoetlhgwynjqtagywosaonwwqqnbxcwkoqatvmoulhtdsbajsfomdsdppzmkzzdpcayqgfwfhjropkxdwfppxbrsydmxxxantdzhvnburvdjzqwagtpdwywkshzlxyavlrzzadgalvajxmlefbmaccptualfuhhzylqunibosijapunphhbjsivqzrrgvbldzrzkazzjqjzeoqczavwnyucovyaaedfzxhghkxywprldyrpwhauxhjkmgnfwnjppyxipswpqswvqlbtatzpilozdmodxalujdajgpbpdtlkqcxglegcazkivbjnzlzsynntrdgajflrzpasjbocgxtbjrqxoqznrpfpnsrieeejlamhzydcvudogwbrzayamddmlhcmgllixojuygovwszyfkvypxvkvqksvmfxmvpoluzfeumfikfemtalleqrnfftkpgjkgaihzwoiwrbgbyubwaimwudgxoncthsiyjmcrxuqxhxlahwckmedqkduoiilnsfndbpadwycgqajkxccpxrsizepweituphsuydgtoxhjhunhiiolgqqycvbbtmtbjsmxcwaenqyuwhbhzilpqledktkmsrwxkbyfrpuhzkyvzzzbxutwgqqroceqmmmmnqwffcxmoebomzkgngdzitqsxbmiqauwmudfvbubeclpuuucjokmcfbawfwtupyryyjhnxpduzknpjtpbolpkdkusjqqnowkqqsfwgadynsavzsthpkklhhasswckrdyxgfzjfzxkmhfpjqzumcvjoufwczqqgpsjyeppmsulcaubvxyugmaxmcnrofifvbzffbkppsufootaewibxpwdlpxemxpqhzueaxewgnemcxwqovfjpvmqnmopbpzkiynuflywghdcvflbcjmdbntxebsptxclpbstpfacplfmcfvlebdczpawqdthgpvfafsgpjtvwvlnrolzatkqcsxxvhbitdkzynjifrgszitjnmwypzrfyibpzuyncpecrypipaqawslkadppwgkqfozfpcnbwkkmimewldowdmhrnkbsguysennobrjcpneimurweuymuqnxegymqgsbggsavduifsmfmmbwrxppgkkrrcihmbjvcnspcnephongbrgcdkyforlwmwsyltcyvmmaklyoevzayrrrkqxkygulagqmfseosjmnqdcaafjmszifxgmhnjmpcvblkfwkiuogknmycirtqmkwbkzfljqraqgnbviznbewkrsowrtgvhfcbjvmurcfpflrojfghchrktcszeouyjiuvyibqhskioxgtxavmmmekietnqkvzjzkrimfzetviwdchozdjdbflseruxfcznlnhmcitnahwybqzntjvthoqcnxzucausvfwmbeuepavriayveuakjlvremmzhzujmdnrptzuqlkysnbthdafmcokdoyapgzztpiwulijzfqcukvkgjpiimigyiccwoyhtwckfsqlnaiydywtcgpwjhvxtjdcyaxfbvpwbevpyycodffmzgneaqttabccrrgosskxfmzkbuoijylvgebeqvnxnahwpnxzeqttrmofoinijmhiruookcauhotbzppdqcewekutxjituaakohwnlmttgvkztldciceitgyehcbgaryohjsiaousskcymfbclwdmszunllsebdtqqwhriaijpqvpgixpjqfyyhvthylafjqwmcxyysjrvyflxshzvcffuvwrcxmtnvzalcexnsngzbocurhsrszztowwaufzubutrwgnssrtxgccolonaobnajoibxtwhydhtaqrlfjtgypnwphrzdcciosfljoswjevhcgriqglwjcrrefhzceatwzyoodcclpqvmpwuopqvmmqmmsdasondivczhkhnmvcqqimuqhpqnlyksipbkcfovvdtmoindovmwwqtrfgbnlmwhsuhulhhoqjpxgdeuqhwdxizlkezoxopcbpjasepsaildcdofzzfeyieuekrvfbrrnaevttrvymmgsvvehoavxqpohrvumccdbqnydephfzhdnwejnztxabhkkbpojchdfshmwlafdwvrevuyivxwcbdeljhuqgpdleaqygnkgwephyoibanpgdbqomompfzfgcavbipsrymxirqabqjhzdgpbrpyqipxlnvxqcwafcdkbzfdiusaqhmxbpurqjcsqusprwhnirrnzlzxebctdmjzqwdabigdycptdylbnbcxqjgstpqhdyazstxgvpwdglkrbracisxlqmxwmvedzikfaatnsomjqpwvwzwukohoqfplploavooescoyxcmuilhwohuygaoeitowhwyduubpeougpsqwcjztvtcjevewzypsayvirtfwbhkksoavlscuvnlcmcckrrajcntfkmuzjynsqrsnbpaelpqresvhbbyrmvyqsrmfftwzsqlliiimjhmclyemprgibxzgtfbszbfsaxumgonscvbhuijhslsuejwzkqaqyqswxwrjchxatakzbnfsyvxvdwcugulbtflkttlviaxijqpyapxmjvgstbxevxvdvdmanrfznojishbdnhgigsolgpmldjmzajtcooeeecfcuiqecrapkwohlicywomsutiqgyvsodvwvlspcnxprqltnlyufeycmedjzkqudjvqfgambxymkncydhsnjjamiypkglbvzjiygcjmasrmerzinobqxwjkqsrwicbirsndldpbartirhbypytrxcxasoarcbyjstzfywvaeyctmdvrfgbzvcovszkyzjadmxsfvivvxxhunoairciatihhtxlsxzglgkallpkukokcwnxljvgkhhmghmpjrsufruylqlkkvgiyjmuxcdgjkyuirqsaossslavzgpuqsbmhwoofpyzubzdabvruukndmabiisfmorxljrwidvjvtzalrxevjibofwqlniqcyeqctnnwleiyuxnlysnqtvcbgcfwubtlszpwmwdqcdwypiywgjnpdmvkifwfxopzwseadkcvvzwhgfmfwizskbgzrmcnowkrvuhhiagrebnazwioesvnfiivassrdsqbzmdtukvtpnsafngrqfhitqgedxpvjreggocdrymgehldjtluytystnmfefynsqgvfozegapfzuuujyxzjvogapahmysfhwresnvuftxhznlsnrmdgbzjciclescthztaqmpyywmgpaiueagtqyeedhzmwzukjnpqtjwwgvzccirbdlxrprircifxqhadcnilyeoggckmvjphuvieaovhwnihtgnzykvyytezaxlofahoyqfzhstciaejlnrxiaobxkftbtxbvhckwrmoqtqdowjaedwyfbhnuiuhiexzxseduuusubebjpxwyzbifioswiipcwouztywpabfdrbootdeyjbjjixjkfbgylfsmubrojatpqeznhaibvjddgvsucgrhivdpvhmjivrytkxjfdzzvipvdhwrifcbedtfmncjjhbbkshhqnizuekgldrqmtyunppnojqxirvheyfhfylppsaivetrymjgsvyjgqievnbqjoqudrfrrwqtxbchdwjedftfmrmeiraurcsagsssuspeobljarlxmukylopvflnkfvomyuyzirtrcgapefotlxcjrvwmufrqvhmlhaindlhvqivvylicdfdcxgnmaqnvdqrdbmomehzbvamliigwbasayxpcoyrktmjapnauavvblfqvucbytbeiosxtantikbufhfdipnzuirtwgwlxjyzcuzndmxwrwyqtnkdsdkxxgfwehwskpxmlylewrthupmalvdwhejrvlwlxnjtiljfusjyankkjbmbwohspyzhcuchgtbrvkphhavvqmdroqcugtjhbwuxhumcjieaecfooeikgftiddodgsfqwutyvdcgldelfiwlhlauzjkknoppiqljwhgaxqcbtcxcxridoaakblkpkmqsqxogduuzebcrhwpepbptgaqiduklrlrstlnvfcgnkzeemfeckptduagyuusufivsuyeetzzskfjpmpkyulbsjwejdlvogcctogvbtfgbrghcbstzlcsrahxcwqpyhhohgsxgjxdmsuhovnhgofqhqgbdoeoodjlgfdhkuvifmmnbolujygydlmzwbtkmqxmagexrymlptvstvhnxssniltcdpzempfebqpdfohzjendetviusfzozibpzqtocxsxbzcofiydaltdnozphbqpwpgozdelixtqshlzxtxrkypuvfdfpuyudbvggyvmgiskguczwqeosbvwdqpbjobpgbmbpcrzxnemeowidbpcaqvpvhtbpghfdmcufwnceshjjigjxkecncuwqvdinmzhmaayodfeegmirreogjiwaafdlyozgemhasjcnnsevmjwsiskqxrwfxbkxigyqpzszfjahpphwhuxvvvpfcjkfgbqjlstkwpvkyixjgyhzphvcrpajlfpalzcsvcjmcotmphqrwgmxjxlinsvzgpkyqoraulztgztdkhnyxcowunvdossgayfejksxnfjxddduoxfwyloyyvssbmuoezszlviqtdpgxiprltetvikpotapezjayfirnohddiirxnbtortpyclymbglbyrgthfiusxnfqljhdjadrxanvqzjbhsmarjenihukakcocwkdertkqrkisrblvteiwzwmnmbzrpvprmvxdofxscrluizknyshzevquuogyggwjtrgyainscxlwggshdvckagkhnhkyfcjmwwcvppjqebgwsqranrdzohemthxwrzjjvztnapgxqavwvvzlpzygxajgnuhclukqejemokkwsuwbsuxxndebvnuhkhdcqbkneqpegpwwxzmtfjwptpprgcojvutaszogevwfelmaqthpahghtughmwsijyylrrxqjrfsgtakmzkpkjgxpgsdispuazeabwwlhzbcmjmlteayqzxcznyqyglhysrsnzzqfgbjvdyrlcfnkqzvmzxmaauqyhyaimxlctphhgwhlknrxfxgeeaqhmubbxaiakrtnhaxhdvcpnksryhpqmscjudigxkxjiirrgnplfrhpwelujettyllaamwvglgqjdtuqtjgyumhobsmsbnayynedccplrmizckulnebrqqjocztqhjdxkevciumtuysnkxembnxnnbpyztjqkxuwheluoilwgkikzdofeyuzdkadpaqzzjkldpkwotwzqrfwoyvntykhtagdnacdnyrhamtpefesjriyzvhhbfjlfwxynfapzxkajalafeuoyegutuavzudbyzarvgkxecqehdzwcwgnjoetyeotsazlcngzlwqkeqdjckualcighscfswmivyeaqxzqjgkecndzwsllhozvfhmqdzjkcuxqrjtlicvvuzfesaaewemnerrdtsuemyzhpzjkdnusfscqeitihtsiqqmwxsnmbdwsqcadwmauxngcefggnupzvaijuvtoencogqvtwnoffaqxmyrugzkitzzfpzudpoekahgugtqnvvocqksolouaesshcqanayewrqxntikfcbdyprrkjmfnhpkeannqbelmyrrhbxikbzwizfryluxvqatjzoxpfzpoxyehyfktverlckgkftomelmfmpjjyfpamcndrcqbcrxxdrvujjpypaaihfjqlpfdwkwvzckluzdkqfpxythupbwktexucywjfphmmamjyzausnofpcbzkvgcyenyxdbdiqrgukastislznrqlwtazdqundtqyiwmcflldmoexdqxywndmzrpffmnmmljyhbbzegperuizapekvhdatjgkjulhqvquyxcdtlvttomwaselrqmmdtufpmxxjautjoxzkkhpqliamsosjngtsbfwolyashdjgwhrzuiaiwbbydtiiowfrtyqhoayyrbfbbguawgogtebkktrajqobxgpvjvkcziknmwoongbrhzwshsgsaklghpwwfofrcohdwqrftaaovgudbeuaujezppnflvbkpheekuodhvvxzxjjeygmmcsgrxgxtdaotethwaqxkzhcdckboaxajkfsofrpnhfwjzwyjiifmanrrdkmtmtmqslcfakbjyihbxxzyvoiuosmyzlcgqyxvznuhckzqcwbcmmqhisfwtpdzhmszrlisxetnnxzvdpmtfomagfhqylkqirquojfecvtizxmusegifbzqdwfzglernhyfpgfcswthikakvmiejwvklmtonyxhvqwbiycmthomiwanmtveambhojvtsituezhkynaosmjglizgbsyludujhuapokewgdhqhuwvglwegbsanbxjkjujwtcnrfpdogasyqwgmxfqslnvcwitpmrxyltpfosjlhrvemdwazkmzovcymnbhdgiuuvbjltcwvbcaqoynhveexibgzhqteqskpuqacgvrhelzkgujgtmqjcserfvyzvrzrmnbistyhviclepyaenuzerwqbghfijwoepjmpqliymkihldnerckgpajcflnxcilyhsptxanzlyjjvyckaljwzngyhvsrcpwmrxidhuxscjmdvdjmebtexgbhopkkhgjbvfashfyjpechxrqwffklzswdigfixiyjgmgbpkztdycahrizxwmzqikqjckdbwflsggeplxzcmkjjoerqkyltlgcptnqelavcunhmwjgzdwqjksbuxyyhpkqpofwxoiowttuobkiiyjmjwvhpsecazzagywtwlnfbhqygzaxlyccykmuliidhmaylntfyvsirypnaissenaxyetyqsxgfejjquvvokciacwunhqruyhypzejbxfnqoechrrcppfygflgstmmppyxofftlijccugpkrwyqowhnkxqhkkkwaekvhaiyijwtefceydlqyfikdrnnsvbhjfydkxpnlzfqqcgcnnosqwhbowncmxpsggikdbnqwnhlkphociblagstlzvkntiqimwdssguwweyecolyjmknpjuewnbzccsvwfrgaczkohtmiyjhsvermajosngowgzvouwwmjnlikluxyzrhwutuqlqnarrnzwgeygwkalxvblbvzfwqidqxgoqakebaouqkxebtxgnzistcttdfqqhiqhratyyzvvyznoinopzdbvlmcoqfgscfcxhqpqtfokqalziljmunugbvflnixsadaysjeefsludhzermicsmbzptueziepqfrkikowlzegthgukpewwnkrlmwbeoepxmqqfoeejwmpzuyvdzixtiszzagoipycnvsffignnejupqqkcusnngdhqshwtdhacadcffnzxbrpkprnilnhyrcegnzhmqwrnxhqmjrypqgyonohldkiswaguspnervclqagdyvtimgcffputgmwbuumrzwqohumxdtgkvtahthwgqfshzcnnxhbzasthkunqomymnpnvudglbncnaaunzalgoyghnbpjwkntqmmbtmkjgbrfrarauaswxawgyafzbulptrmvailmottcxbaxsnxqbwqqglqgymgvjxqmmwuiknpxfwklqzzixrorptqaibykrnevngdopyreoqjsbwvmwfdrcajhadkvsskknaketrfmvjbibpveifkhaeuexmpnifqvttuktdojtizomzvxudhtxzrwqyazefuqjynvhmexavwsqjvnfwlmrtcooepxfuxdporgbrdhnzjygpawgqvldajqbpykivdfuxjrcwzvjvxyapxkfamnizmblznivqiqivvmlcqhfdcnyuzrvavnnovighylddxlbineoaptylqmminhofnaqevgpxmnrriiqmtrlusgchqsdopmjytbwfymccrfbziexjucmoxtvzkujyppreywtwephkwratmckkphlckecipeattxvgrvrdvopyjglrpdfbsyslpsvrglrstikfixdikghlckholzgzhlddvigwtxerzdcyfetosrvhresrjvyztmzvwjufkrdlruperuntycvpbevyqbmcmvjwqzhgahlelhgzgrixiozkhtxuvpbdntiaecblpnbmbpxanullppjuwsqpdklfdlqrspwwoztnazmucvlqjhzvjhdrwaqimhfudmvdjyfmqbsyaimebamqaoorfktgxlrtguumunmrhshfcgcehjkyctlidbpiroatfozfriketigespllsmurcfsulajiyquzfvcyqbpljtsvbzlgmzezoencgnfjcoqljjaholrumcvommghrodguqfootznvqskbzfrfiieyegeroaugscsbabdjmovszujujdmhqrqfimotrhptgkuctaoxonobfbgbhzkemyydfuffpibfmbefvaesjywnwymbgzdmtnzfenxpzcipkkwpiufrinbqjmbbruvtlcdmgdxrdrfdyeqavfvyoqgctmdxxjrvflfpggeegqtcunkkeevxsputyksgykwcjumgfgfeylpvthcnjqvzmsbqmpgsxmtrjcgcpptrfdxwupdoubvjwrzepsmggmnpqcpixdcgduxyviniybrxzetquolubfqzvepspmzjanylnihvctutfhjgcjcavgigtonigbhpjzbaeancltkqxzznegycpqbobnsdgjxqefucfwlsveomzbqxkjbkdpizhntipblnffueprfwwqzwgyccsfzbtziotmdmmzectlzdtsvwlbuvhqfxzeparuocirpmyvvvotbrscszojrctejaxppsmpyzwankjitpeidgplqbzecjupdnyzrhyagsxvwwplxsvomzqlfybocehtnxumukowpmpyftwnqunsusseqwdwwvcjejqdplazrcetpvkcpoijuroetjaxnsihggmxruyyvqialyzgvjlnxvxparzagjnoskjemgatxrzikaxrgzuoxkmlizauwsattlnrvgnqbkdhmdejkewaueumbatjnnyuvopmlfucdszrhxvujhbkmjotjoeopjcdclpgrbhvsiycebjuquxflvrlijfyxgetcjpvkdtbvzgvlaceljyesmsfyzagfmxcoolpkeamdbrxmdkldtocxyiammqdjnjrgzpnlhvawiwjcmvxwxlupskqlfvrctsjubjoadgsrtklzlgvyiignfojmrtwsmcgdfmmqxvmeaanivqmvfzebjpvmpkpxccgsesadjwlyoxqkgzmddykbgnngabhavumqtsohaiepofqwumwdzswsgtrvonbxavyhqfynqbkgpgbqrdrxrlszkoirvippyijbgnwycodzvbmvluznuhetlojqbzkjlrgvelbfgpliqfssujyvwllxtzkwewpmjqahxkueyczwxqotonouzdyaxycjibewtovbbtjvzvrrndbxjhtmdghfculbwicmjhubgslrwrlxfotudqcnpxtkrpzbykgvzfqsedmfjxoehbrebvauvlksesusbatwlphbtlmrhnizihxdxhwzatrnedggwmdzbdertndbggtczrcwjovufjygchsdnqurpaupmhkcnjmigxbyxgxqouptebzioncngiwuunjpranlyphvryojqmqtbttxplmhgaqfyciyrtelielytfrzwjzndyrgmwavujcpnrucgapvqtoaxlujzucqdbretahsbofuxstkqawhncshifacqlocjvtynvgzkfmqavizbpgdluziczjxpcmfblafetonaqsbrrwsluzyqqoplqbszuxnpzldomhhcrxgcusvjbnypderxxdnbbxdoahuxwllfxwnjccnppegdafwzccxsppliucvywwzioqnbjomaridrhbrbddaytzqwghgporhkqqfygkvuxklnsqabemlteuwipohuyjfhzsmhkuvtraytkaylikteakdyhldnjpxwrzsyypauwamzylpuwulkyawhmfuogxpghtzbjwhetffositsubjsvyvtgrhdsblffmmhybhtdngycwpoxpwmbkuuphgtwiadrmytatlchmrnnxqiybhqlmhhfwbhstdfghccfwmgoqsefiyeswudcaxybkxdoeakxmwjphfgwaojiukjkmqedyuuybmhrucbmvrcptgvxyrzoiunnlfirxpsdefifsmlsuomvxyywhsroaqdkipxuzhjyvzpseflthonfplhhcmgvnlxbnjrpqaqyiozyyunjlfucnwuldkixbvzcenpoxkggvvjilpluckgrvlgaegucjbpvyvssjznfqgmjcirsgrgwkaigdafvxmcejreycviqwzvshrnoylmrxctewpwnlnztkiufavpyujglevstbcotgfjybcvqtwxbswmkedrgcztguxiyopbkwjqswbidrgrnhnxagegfnkxxvztqmaavqsbupkbieinycxfritaiuestomafdhbldeeticpamvfmapmvfjvbkcxftznxtlszundjhckelqmxtxtexwhpperrpwrzvqnbrnwnpateunvpyicmkyfbwshfygghzromqyqlgmajpuoyaxkgdbtsljytmvmmhvjstftsgwglpyxplpmvmhdxgvnvdvtnhxzpmkiuinhrvoorqkirrpahkwbakgznwwnubvlnqqbakuajjxudrpkebwcazskzpfcnnjmjtruecygdszxzlnqrhjgmbxrtobohumlapmtbgrovtmndkfkcreiusonlxoqzlgrpxktturxtcudxcoqbjegsqowsjbwcuspfessijrqtznkhebtmclfokxwoskugrpsakwnvwqbsnirjnfsxuckosnrspvfqpfdqqvbdpcnbpbelodwtgiepdtvyudwerydtzutbvjcefmfkwzjsrmpflumlvmpnlwxoadyjufsrtawumkbcbazkpnavztqytwismpbjjigsckhwdjiyzsssumfwdtgiihbvzrikgaafgwyuvamjcbiqsmccowayckrxxkuoycmsuhmfvcwdtyruwyeqskrmwbxcronqzbxucptacsuboqehajgcwknlbunzzbalftsclgazyyewotozwavwmhhpowvawnrwrybqcjcqxqepsxvvuwakbcpilvyixtoobkdtrjolnbbkrvxmuxuofjokipawdhgaqcwfumshzlxezrvlhdzoatpwannzryxgdikfxnwrrxcxsdgsljgacggueuyugwcbrpfgoemhmildfyjjsudguoetakoknapffehaqutzsasclsbnzggwbwcbfgiuxawtdhqxfgfhzswsqeoaegjnbftcurrerriobiivncygvmqrggtfvkyuuqydgzjkukmllxzacpmphefzwfuijxedzuacogmbfmkdjosztghyxybcpfzvurxpmovymbsyrugwmfudfttodluonfcvjmjmdnuailxaumgoxnvzmqulbbrhcehiriqbrqtvuhothczybnbcviqxbmvqhuiavuvqbnygbwwnhjduovupsvbmrrhuonscunbwxlgcewvfoaheckpbwkseloszhmbhnrqdjjnlbasqlkqycsopkyrfltkcmmlsnchdgvhytxbmxtahchcsqidlpyejwomnackjpvsteojfrcwkqerjgketulpnbhilvcczpldpalzfghkjfczznlxhwmawetoiofljxsmwktegzmxahhhqgcbpsxhcrayomovntcqrqlwpyyadxxtdyqlauzhfwqkjaloialkhmsnftgyflckgcxcokykfkmpirznorygvnkouuawoaaapfcckzotgosoaucpqbxhhyqvbbcpgoqrdswmepgqwfmfjuwpdcralcaqbumlzjfpcklybfrfccwytorjesoojobucmvqhtwunifzxjnqrjjqiacldjtscercbucfymgbtekdeyjpvtclaqqsuukouydxpxyqpgwxetxugppqyhostucrcyzwnbsxdohegrgcqdzmhhvcqirugckmdglbmoxcsyasppjtdavgcpdpcbasudlmrwqakegzbhqjshihrxadbcsyangsykventsfuhffnqqrypfngrsteqbskcnzdegvjfkfhtwhtlahcqnzsstmgyfggnbhqvnswxmovsizxexrkkednwynbcxknblqnwbbuqzadzfrzfkpanhtyvlheigazdcdlgyyeqiciqsrylseeenhewhepsdzhmjatghvtbmktogutgabfairiwnyxkhcubcgtnpysvmidyhtmjetcxtolmoecygsohtobnikjvuubpzrdemfzlmhupbharyrmabdywnqpyxieuvrnurlfrbcbtzkfrlpaoitetbedavhcyzviilcekihnxdbjcpyozrzphsevrrdyegbdvsobuhpgitqnxqywuvomeyhydqwdnnlvwfdsyqgbmorjhkrqirmlqhyazzcagakbbdrzjitaywuktermqdytkjpjzgzotvitwycxahxfkpmtzkclikrctmdvbcwwowbzqjwlpuxnxfvteetfynkdmuvukdfbqtgehmdbewyparhzycvbvylceljdlekvqzgocajggljzxbxvepoxridzaqdfrpdrnookiqxhabwtfblolsyhjrpqkabzdzxdsoglqhyablrkczvahxseuabehaifkknqcrnqwpsbcgudqoiuvpjbhdvsvajdmchvhngiztzpqtzoaanotuquifrurltpbsdgzvqnwsdtllfneigwmlddojhoetpkxpaglbxojfinmucrwccepiyidaalfkxzwjtijptaxfuvbtnozoccvmskkqvmkttfajtaidteriaxldtvdnylorirqgemjsyefyivjobeknuqbrkfwmhljgexardvnltjrgkixywscosytzfalgxrevowjcsmrltkwensjclcojpqckkawdcemmkrogcxipxberuyufxmxowzduyjawgvszogjjrfmsortkihutnvnlqfpyelwozicltgaairtcgvfcrfjemjyfmzejtetjvssecmqljefysdkrnjctgzivvqmnfjqwdsdyanpcxwvlwqsdfbatgokssimruxgfkyvbmuevtajookizvzahiknmtmmufwcoffyceqzllkqgqtgyljvgxefcbjvohzizkvsiqbkkhcwjntropqnkhkirrccgtvnhcwdokxseodvchltedqtvytldbrhpdmbntroefpzqrdeiqkmkarybvimilnnwakxsmstplbzmfmciwrzktguagaeowscciwjurxfykmwfaaasxmzahquagklpybblxubncwzlfxyzrmddqmwbuzt\"", + 3688 + ], + "output": "zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooonnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiihhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa" + }, + { + "input": [ + "\"ermvkawcgejdsbtqhyzthvudvlglmaareqbfhgwepxcxfnbqwyxehsdbczmrvjjvpwlqpzjullgayvhcwdtlxegdugmotguxjvuhkrsykgnxolxqzbyxltajnrlxbrlqeqfxdvdgkhsgxxjukygixzqtfbhgdeihnguuobmrktfpsaqzkmbhhrkskhecfqvcjoitcfjzstaicryulpdlmofwwbcngbddysqnmcyemaaaktfvsxesnbdxwebfwgixstrnccqjpvpzzipnxmabhmoxyomrybuvlgcjqpbpixaqmjzwgikgcmrjkdfwyszlbmispfjodjcctctyjyndwjkjvhjlxrkhkvkjmlyicwsqjokqneyfmfhcbukajnmndgthahxpnrdnxaronzisxwwyiplbtgyhkzucmuzapfjzoehiywaufufcxxhnieckxlumxfadveqylgxwlpomflrjcuelybfsecxfxhfsglyxpsnbhvgcqqjupyvbhggfetbgxytyivuaqxmgkdwjvkwipvfhgsoldgyaxsyjkmvdfkwrmtqlorticropdefejipdtbvortfrkwnanpmhzhczkfypiovnhcsqphiavexyfeuivmeqmythktfubsjpyqlljrlyhjlushuytmrlhpahvqnxzfyrhhblrfgfogscaywcmqinkbwdvzzejrrulkfcyxqzkjbuyfmevqxicoxnzaupqltoqfsbqhpnowegpdqgdcnajsmkqdzhhfmiyzhnzgaoauhnonnxjcdzswffqpcjyzhvlktapfzksfkefzoefedauaidpeimdxtntfvrfbkgincdtlhkjovqrfodkuvmosggfoqywkckqqxcdaoxynjiomyjrwghfjrhfmlwpmcsktuxdzyrvbtgqybifirosbehcqclemmmmlnzjqdnrdhcxwemkbtdoebjtjqovgeoaqsctihslhukwziahnbzlkfmuoshnzpxgzulywfumyjctysytimdprqmbgwqniwtmebgmzknwgnpniqxcjajimylilimzgszwqrfwvjzkgomobhwbzkhyitaourmvqefnyvxkifewrxsvdpxbvjfnsqakpycydadyibqxqljyqptolcnnaleiqovvedtvkbnucazynseusnmrsvaesvdrzyuhavfjbewjxlkjxhzqbxqtjypxmuvpdqiykisdepfokthnvlwfevmuqbpailrbitlkcbfhcjbvzyfpbmiuctgpyxpfauwldcqwewknemstltblimrckyicsvvwmdbtzarmfrthghwlomaiunzrydwpnyrgrcxoiiyvsjyhhmfmautlzylqonbawehsbeowcrduqgvcroposqjqymobjxtesudwmwyfutodmibihmrbiewpotacypsbzwfifyiqnpwrayqimgnlgkutblnjsnkuweepsixknxfchatqabfgxxspgtyhztqqrwdrgnlgezayyjctukldjgeypjbgrsmnvohjkqcjnfcxsogsfzecvvqnqkgrtcdivpixyrceuyjqtfpvpcmnqiirldztgxrcxntympkkfyrrelxpsefbdrlesvshbcxttqcnsexfeutkcoqfcwdufcvvvgxrtybicskaioprebqqbhhvyfebdjibznbeygrplrctokiltiaiduaxgayfliawcptrcwnqccqkdsdaoojvonwdlwwqomvmgxtwgymkmqdgzfmjlwcskyibhemvtipjoyrmdzupjuhohhielnzmnnkerllrdcawrfgaliyikxgvcukmcowgdsxmoqxhfagoqiqsciysfiwhdbtoqwvjrqtltvjgbkqercxetlzxtaupzcfsezioxnsjdqmmyflhkawxkgknctcqojomhtmkdqerkuoctdnfirdzpbaalcxbzqupgugnqodoihumifcrlkfxfdgjpwwpsncyuglcptpxcvdfsozrgwespsmwvgmfabmuyobegzwkdvlmfgvpcwvceqxdivrzmftslackfepnvcttszllbveqjcmlhukbfyopmwajmspezmzfmrceghxuihvpcfqalgagyumbczwbsyblcrvcumbullmwoezhvohunyugumbpxeiibqkgnzwvmbyneeqsvtizcjyadehpfwsoxwgtinsrzvafmlawdbfzryzgtfkslcjripldfrgumbtlnecpwtielavmbtzogbnjrpyohwuxoieixlpwrbcowlissmchyicymnaonxtvoymhmkndaoodmpyhdtiwmfiuzqmfwrcrpuqwkhnxwgneqxlcnpkbijasxlpiygvsghfjaawtajiwtdvwtpnyfwiwrhxoksdkwvhtmwiyxacidtwwpqcstxsutdoemnqtdipksauqbhgjnukjnnuoeuimvnbenwfxlpggadjdotgaxbuqaqalmqlzmycbsucbozgtfzlqaoydugniejydcszkmppertkwwennfrowqqultwwhzfkoeuwbuqfrcabghwjiaozvatrntiplxylxyqiwvujsihhhbxlxehpszlqcixkqoziyqrwnlxmhpyqcvpbyjxthubcpkwhtcbjaqosbsunhbegfexslzdowsgjeufxfixjkowwvwnlefptlcpoeksmofklqholpvyvrnkmkbjpjnvfbafwpmsqirfwaowjorwfyebfxmcfzbmpuiaixphjqijdtthtomnhnwztinmmbpsfyponffdcrehncvscycgrvlsjumzkumqyvngfaccbnypblvrjnuirjkmvnobgmeikmzssfenujztvichyojvkgxyrlrdzhcbenoieatolhiwhtfhbeszsqhqnjxbaamatssipwztfffhocgacngnrxesxvisbuixusfhcwtmeujzfofedkdcwttxnrsxidsehderecjqlzrdbroninlxhhnkuytqwttbedyshveszkvhqgdyewwgwxkjqdrerxsvoynnqettpiuhkhfngeppsfwwwletpeokglxwwhnznqqagahczleylmdrqhmbygvsonvrpmqkugemkcbbgonmikaylogacjfnvffwcskahgtvogqeyxqrrdavzvnlboqqkqsxwarjiaxrufczpeixzernngcwcyzrbucvviskcjoogzwwxtmbbnyeiecbihokteshvfgklgytsuifnkomipjhwwjaehuzjhtxcgnptvwviiyxkuqphhtsiwrpijgyffyxadomwdcshbiipkouguayfvkauikkrylplgmpmcyhpwqcjhsdqloxzzvlvhfcuuhqlbsdeabvnwrpwyeosaykofwuqpycurultvlgjwdkpkapogikfzqgxmoxxlmiebqtwzdygkyonmgbigdhxzmeqrhaseaeqwijcmfxuebbvrszokjozrqubsbwvoeikeoakgbcozvyqviekbmsecuiojijfrtitpzwrzgsvsuoifghsnonayjocduvpuypzxpgifznttufkvxiqmwqaafrnkslksibvdjtavogxabucufateaszeuesazannzropuvvivqidxstdxegoyldyffxmwmgnxatdangvkciynibdfmfagqrnonuqxfqwfjvvfljskphvbijmumniroknybbubwxwfyvcangqztzrsftnivihhvpnmyzilqyrbghzdsrsdyaorinpejwqeaeqnrqlbvtdcotdfbhpgqnmxfnuowgqlehqlcgajccydkcvcycfwzpnmzevhukikxlvforjtykyphnwxnznqykgeqgzwhchxvpinrlinmjwbabewlbirssioekcilbvqnuiiyuwxjrirngkszzuzwbibptasnksxjauthjnjamgwsctemdxyynomalukofsfrtuhmrtkhbjicuiusdhewsipdhphsdfvmmqcnuqgvdxcaixwbvedmnnuilsobndnvfaotnrhhxqyislnsutaezfiomtyvnadobrzmcigcdmotdtjjlqfjfgoiwvzxesdymkwwmmpuyqrfqwmgtynfnfigskavxegwwarsevtvslwzakmapyvqpfkupikiktnocelbnxivpubkopzrfyvnqjqjrqkirmktxqzkbmebxylsieiinpwvrpudbsncppudgsgeprcwesdgvbvoyizotxzvbgxiwlsohgxkeeuzcobqludrhfzqfoiagthosdyxrjaicmphvpldudknnwrbykxuiwlgvqbekzkmanvwlmgxdugotpecgicyvosmrswzhckdvdneedzdnggiuodjiogknyuhunbqyyzjzbyrweyuntxgirpwxoffnzbrbcvimrdoraaaeqkdqpymhpvuppuydvxqjmwpfknknoatumhxhaapivjffriednwilekqlbmebtedakuyibhczpmuilycvqnqbjvcstlgrcpwztfmyrcmtccijltsmvuxxmvrshecoqpoljtkejnongbgvnkclqutswywynzczqixzfbkcgzdrlmqttaunnqwyienphhfwinwmqwnswqmjjmnyjiuiopljxsrebidifgquxqwmcyqbgsdzeqmkcuovcqzysvktmrjnujigrwnroxleixvgpbrxeqjnfdhlghpthmnpkapvfrgzhbopobghaccqmvohqgtzduwpksmffliveeggyssozgkhpggzsqhtpbuqhzfkfxyizygcgdtvpdhyucdocmvfqjpbwzelvgcfvwvznfnwziawswvqovhgefbnftyjyqcghvvsywkfbtisuesbvozzbdnpzdjnrvpwcrgutzqtvuzwccnwoijyujtdmvfocndncrezgrbhtkelpaabtgchttsmkgsfdypistbpshlhfvcyiyelkihjmugbjjnqqausyyuyecflbnzlejofxxqosccfdjonlsfhoiyrdziijcoexltfnwsbnqzhybbfojzciatfspnpshurhpqwmghmuxsobimdgdoiddyqjetysvmzywcswrgdrsojqqsfcuglrtjsoefpvdychezcwacrhcujgmphaitrqycqttzsxdurfjmgkbiqydqjjyrzkvxmycuktfputrckheedytlnmpdhvkvtiesfikbpmakdolupsqwojftdgjtsddnfuyxwkhgbystyhawmmtotjuhglqwvvdnihylifoedoteapkkjxvglzvlndheegztfnuvifisolgcztvjtaklekyvmzhymdhptlwtbctsjjaqbvnjourjbfpwphvwstpdspygvaiewskigbdpqleswhwljpjqbkyxbrqwhyzgpgdaweeawdvnrwjbmsnffoqcamcuibqwwyahkeqxnrncbndnistgcwpilcehlhvrzsavwdpsfowvkevhlikwrakpocivqacrwcynwziaorqkckbtvwyickimazlsqidgjtgyilkxlbgjnymkcjiqysvxdzlbcjwrbhhsqpjzalskibkoumcfvyawnjrdeptvxiouysgrregjhrpsilmiecrtiatfxvcxnerexhmwrworcnjxwnlyjinzmzdvisustoobclsysorvkbnyleyeaboawvgtarbzsjhcdtafpxgwgovebmsfwcdsbyhgxpwqdldopscuramkbdmfvlseaczrihyfhwpzcdilfurernxyjearsbfukvhcpprckklbnompmigsxeqdlvmtwwaizwriidqclukvsnynwdnfrxcijfapdwcjunvltoowawnfcwkaysrcfqhiucctqoszpycbxuszsczsemwspecvopqyjlxhywamcyebychdbyxtzqmrnvhtwhgpjxrizxrgephdgiqnxqlerpwtwvobaxhcauzyyttpjrovgdiaitgidbuvqkgxnvvvatzyqlyhdzpnwidybwcsonrgpptyfvzprrxyoqdflrexzxvsgeydktljngtekrwkxlkbbfqrmqisdrverdhbrluuotxzrykcbwwjlpwzdykmmkoujprjnivgwfeamywkzrxdrruxmrabukgpbjdffrccuawwntvtrzdljgimzestudqhrisqlahtuuaegqvkqbkunuvlwfxlptepfmrqwsvbxmtpgomsjmbgfhyobxdtaynmdvjcccuswilbylqjhklgiyjesdrxgbbtvgzkuxhnyclmbenxfunduqunsylxzekgqtbanfyaktqnqaaqfcjwlaxvqroxsqjlggiamwfsextchzuqxftqpebtzlxahffppnctkgivybepcwxacnheuqwfbnxrvcsmkzkvcxcedlmpwzzgarfysresdlkoohdlpklrgsntcivyvpwgsjmkrqsvjmemzweqjquooyyxjqwsfhfiqycwgugnxgsblwdayaevrjdyhuxidxlyjxtqmitainmxezekakxsucqipmeeeoefzcxwquzhjuwwkbzcjlszidtmxrkzzkbsrpdhdtxvajjqrouxmupkcfdhsnbqdcwmogziyzibegeylmzocakutaehwqlrbjgwqlbpeydaoknurzntxmcebdlmajbxixwpwerztpztrzyyliuzuujidtriztxpgxhnyqtrnnhxevakfujxynuemytmclpjtacdjvqtglqoywryepoawlssaysjgbtywipweeppdndyanrazypuxjpojvpincufibwgngppfdjadcsqsveftrtmxmmbzkpkyuyhfqfzcggborzgycinxocjavqdirayxxnrlqkgccihfjapcymovswxezlmibkgyobvwnhevtmmycprhvarvyxlbbjukwehrbrjhcefecohjeqrzsnbqwaoozovymdhgygkcjsavvafpwkfujhtbviddxnvdkwwjjxldktvzylycfijmjowjbrystgzxeddikvifrfomooxeseaispnxsplzmppfrdznzasevdsleuhmypdtbadvigvasolbhnwqkqjoyqmvfacrknvtaltboowkxwnupdglqfmegluwdjajcfvaixrsldsrcapsnzsndulvmchuskmfrtdjipvdgqclhebyvyytcnopnmjetfwlpueuvxsnczautsymppalqoqdcavzxiutwwwyuyzzzhqqpcfgahqosmiwxosruldqluawqocmviqfsetlqvxmwrgieweutfpddtonfqrlwnjbokzrznwlrchpmdvgipawkcxygskuzlmfxawxxllusnntpgpfabxycdoutcaiikvpapmxfdmzsusimmtymquyiacqhabfkjlwycbarifldttiasbmrigpxrfgrgdwoubdfnjfrkqbfqvzovtyzcjbkqafrcooykolkrhiuijmbxnqzjqsdvwxheopvdlsuynhoiucyxllswiswceenkjyinobpaizzveqcmfexsmlcsrmqpthmceurfftmuxnwmoupfyufkjmrmbnzfmxvgoevgtanfstqrfeyrucykwosivmtiufcoazmtrsojuiqqlrvtdxxkwivlelyfvojgublyatjbxjmqmvpryojvzuqsqeoscunvullimviuvcmqaamkgssanlarqmrzbkgtprfivbmegomlwfrebeabkwgfzylmzqgtshsnnncutzzyeqzrrgmxbyselhnpetdgjzspgqeqvfkhnlbkrspzjuyagphmicuqeuymlqpphfspnturhpgrwbkntkfdeolapmzpcpuktvvgnsstpoxjlhdrqvpjrrcumadsxpszhyjbaqxgfyfxgzzzlvwmfvtxxniwnbythefupfzpvjdgjljhwdotqsjtwxnskbrcrwjcacjisxancryrddccouxlucutaxqernfopiuxoizdmmmndjnkmiudnezahrkecpblwaulxqaqtttdjbdzhdypntolgyfkfvcqdwqpkczinzxbwyrijskcmjrnbyluuqhgyaeueokxfssesocknycntyrmcvlcbaipcmkqtqykpqpfsyrzburcgmgjfmbhypktbfxsylxedqfyanhglsylhcmaqqjhcsdwmejqiahzbeoiwiepriuthyvqdpcqzeeywzkmxmyznibejzplkusnngqzfvwnstoqugkvpnlrrfybdfiwhyrjpkffhladmkkovtzmrgcdxdubpaapezponnlvoftzzxwdoyfngqtablpgweeilaekwnmbcxvxvasclhaxwtuiwuvmqoghvbucohwylnpgqixhbrkapyfumfpnaorhixjnkyokgucscwfbkwztolzlhtuxdkvutclrnensfrlqijsoothoqtgmocbbimwflrhbqhtcnbrbcbdxsixscjrpazmmvtuwwdmywtahylbtcrpxwfwdodnjcepytkhgwlomnqdmxxdxphdkxqfyboynpslhhehwenkmymaeigfufqbuldsqbjfjnxsdruqgdfdvesklpdiohpmrkarecdfyblfahosyuylcidodxtbyvlwonnfyawhyhbjldlzjwntaduhondpdsgwjxpksqeeqiybhhghwojgorwkwdpmhqrkcjlavqbretewtrwlycncvwhajectiowonhlobimsbtkaolhrdpkrkruikqvwkxtmnrobzwbfzcguppcdinrgyyzbwuzgrctnfrsyvceokucglwqhvpzhdllqpdrzrzaqiuflexqecsbgauuuaskowhygzpqwglqqfcwsdsgiqlxddxhjtcmpxvlgiiqbtogwrcqmcjqgaifnyecxyzecjjwnpfrhogrfghxwrpzytonwlrnwonnpceswdciepkrtxfgnptvzwahrgirtlzyyswulxqkfhpslaeautkgggfysyfalcewsgqsspjvzfideysdiqjcygapidxiuuwlxouepimmdtjimgcwzcfifoywswxovlintvbemkprklkrsyvjemxzkvvywsmtkiimadvzvvkobbckxmvzmywmxvufxywldnuqrbhjqqjmhoowahdrpkzcaumvwghsoxluwvkbsjtftgzjwakkqvggidgqqhkcgycptyoygvearcdqqhtpaevijqsixhuuadawbresdarregyldnkanjqpbslhkijdujdrjseixnztwfguynetkabihbvmdbtgjtoqlkdyesudczellybwycjceqovyqhqfhyaxdqcvyoaoxuofwroojzdlfuaurftlvwllzmclajuihhxpixnhiygghgahbtwlnqpigscfbxwwlyvvrwfifpgdwnxnjpepwrhmfifjjztmhjqzcvbsgvzlpghwkexzcmcyvgvqvimkhrybfrchpmtrplnusfazjbnforghrfxvxuwdktjwcykbfpywagfxoseuhqknqttzpkcuughgdcqrfuuzezynciabxlbgomrocwnkqdziafapscrlyvfxuwtinjxjsdgwispzsjiteqhkzligeeiqekxsmqgwhckfypjwnqghrmizdtufqnqigwjcypnjrurizbvjspenhjqzgocidvagclltejbvlsvspscxzibkypivbjhitvqqvemywozsrpodbuqdojscdjrypvmeidwfavtvicajvjeddcsqsympdhvwdozovqdmauocibmwzgnasdlpjkbyojtjcytqhxgblxdgduiqfhrgjzzojxjpzxgrzsqmgqzqzyltxojraylrmqlgntauvqewmvnsjwazuhrgetablocmtphvloinljqjakmpqkpycqhltlzggqfzxheycdkpfzrkapibxmovvimzztetyhdvoeetscpeuqmcfuantijhzbtsfidyouxzboczsmfwuggduirjgqptzengvwajsqtaiufoqhdhxqrsutkvofphvmztlsgyfgyakuthsuuhdfveqbttnsbfgpzgfcvfscjkliomgxnvhohdvvlcuwvvhcdmhtfwmlkahpifgvidtargnmgbuqkddbjsityovnrfnmezbrdbjdfpswmheobomlydboouljgboxdnyjltlkcpnsrtywsiljkjieyvgdoznunqbpltarqvsyowrunnirzikdhuzuydbqvdzcesmjfksrmsaerbhkxwbrircehnjgbfbsuzrjuszkitpsymlidodcopwoqtvdfrmyudryodekbyazskkddafzzafzysmxpomgsalhrupbivfylrcwtjekzurjfnwaxmiblztrlvalehwwrlawlexqspbojfjynzxmmdlxrtddbwxblvhcviflsvbhekzpkugmpkzzvpwjzgwpgzhyyhipzehmmqhjxpizlxwfikvxkjufreuptktfjvmfllkpkbzfhcogmmyndauobfqxmborwumbejwmigdkptiimyxkihksrjbebbyhjzlwkqyzcxumvjlsmdfkfxevtmrovomhvcpoazmgxkonxzvsvwpfccphxifzeeqmidadvozzyuykdmonvjcpodetvvuxmvzgwdugvnzqwbgfblqlgsduuuahauudejcjegcpbkblqpmshbmsohbtzrngeflhhtqlqoxblcpgrggumrxrpnvoreaslirtkgfyaozmgpfdqlxmwwdxcoaweoyiycvfkfpepqpqsaxtnttiyfnueuhwrrsyginkytqsltqootfztfezorjpmgzoiagihtiycyxtnrlczxnbshszrunawzqinliyiqcgmqpoumthaqawsqxllplzfwzwfmzygdlijrjgkwizxcfgogclygeaoxdsgajsyltmhgwyawsatkkqmihvhxphrtrjyguuudbomdczxslmvyehmykcrtfsecbrgjhlhjyhcuwnalvmppxhfhbudmtrenqznfglpuoxnymdynfrcpiiqxkpnrnahzjeirkkrariqldilqonhycsqxxvwhimfbepanofvybacvqdqllwardhipkkvwkciouwalgumsomshkpfjxjnzfimwgpjbhzlhcuqyobfhwvhyqdwmaprsavvhecbmbxylxutntgwrhiddedravgxvzjgmwillcsemykdgfzwuivhcvswxgsxvzqmluwonbyromzyjgiadibuepsliessefpiyutlhqdbrzlxdsixnjqsdsxmxznfkyynhjrekxvfnmbbcuqtkxwrypxrlhgoxcuiaksaxbhezncovijjtgzgkntflwxuyloalfzxcmaowimwurfgofxbviryrzsdxbgxdyugkiinmtdsxpqankxdqyufeebaeqdgtqooabjahjgrmdgzbqvejhegferzfzkdbgddtatxvjrwynzgsvzafttynfxkwkyzdijccbokuzfofmkbqtkoesjigmuqfnvygghwawqrjyactuyubqdxixjvaorkgnfjlyyjmpwyuvrynakigguattnnitpiworvwwuuoiuzuihnuahbntqmxpmrslqftqipvagsrpvdfhzqduyqxqfopszknrsoxlmkwdjtucfdtvjzvsceatoihgaovwkzugapztuegbyqvbrjjfxocfgairqlxmfofzcprgedkihzzdwupgrkomrqiuojlpiqatrzvohyowozeoekkwezxvurqzuzyadzrsxyrwdvbfyelshysddrcbcakgbzuurjpinnnrxmiyqcxzuayntnmpqqugtlkgsbztnwpyflwqhxickisabinfrflrpvfxwlufwfveyygwjujmhqibqtiwitjjjnudacrnlihzgsqkefniuuovuumhbqcbulcdskthgmxxcbhrvcokbykmxojvalsdigitopefuuopemduxtgwpjftoctpdeyugsdzpsbpplhkwykaqgajahndncaxiwxnazkeubrkltotimxegykgnfndakmdxfgggvdrkgyvdjwahjlclgjgxcbpvfxbknylvfljrepxxsnxgvlqwxhpbrrfqzvernzarckqnrbmwhxrvytjyycmdkpdmubtwemjmziwvnebbydbkjfwzaxfoxugckralgnckunrgikabvptgorqxjqaxdujfrqclwglpviatxpomepgrggmxbqxckugzefzrxqxdnzmmrdzvjeuwrwgfxlzvybkbemtobbrqerrytbcuspnmwvklrojpsbmvfaurqnpvtrxstizkztjnlxzkkuwjjjjftjiazuzlumznanzobuluvzbqgtpsvvuzuvyyggcgcchunridwucedygiibghbxxorasbpzsjnaibumgqhwqjyhxxzpfmdnbndynhehscqsrigorrrxlmtrjzkxuhisngzjfumcegvzorxvvkzawyffazemeorbvwyrqyqofzroinatylxnqdlqoclxucttyvsbmdhfqkxenegcxzpejqnkkfpbrtfiicwsyvhvaxljhirfhmefpnpfhplxitdxhcjtecqezouocbklpdhtflehzqpfzkftconaodgjpzdfarccgdyuyenjmhoawsphgyrtevezdvsvqygbzfbykxkpjrynlwwpnyaeciaerxpaohckybodllldwpdjxlfiomqqhnwlsiqthgvullvutdsdnmyrhiegvpniswxlsgguaruuykcgbogrfpzrnwdwtwexdjjfvnomymaaszgfdaefpcczcbwndcjgydueefccblufxlwjmukhgexyicsuprwoewtlfvizxqfeeefyvtkdgiuiayotlltjrtstyvqsjhbmupwfcyzdurjpreawpxlsqlriwzxyanifkvnggyvvgrkttqglkayplokdidxjnhqgcqkkyyscfwsjjjqgqkuzodoxqaahgxbcvzwktisjflasiplvzpeegvaftggpamqxwxuochpukliqajqdtatdabmsjqcwauhtphgfhohzjvcsxnqimwejtarqguqdslqnkmdtmfqvzioxykfsyunafkzizqkouwmhxrjswybhllnnarrzkaxlgidwuigbgolrzyxgtmjzqftnvjrbxxaobjgghvabctrlyqhuunsraybeafqrlhwbkyvghhqtosbocoutkhxcyqsjchnkdiqsjtluddgraeyztqmrfjvxnamqswplcigfsuutmboizsthitkytgjxtsnoblqaprkiyjndwvtraosgmyvlmfhdivquycmtzvmziczikkpulmdjdfxarvtfkzweuvvhnbbhrtlmnqtzaqkwcqyktxltqchgvtzqdotsmoguwxiggylpallhtsslwnwdpgvxrjgbooveqcxzevjfklcypgspmyrjowsemokzsjwaulvnwicdkktejedvtovdhpngmwadxlchfkrvcwzrcyuzzbwhyupzawkyaboqyaqpmfimbmgxxbbzdpfumcnoclfinlazbqulpetwyyfrdtlodwqbdpsxinrdulymfygtieijvsigusbtzyaonaklvolzhtrabnheegmvcwzgnldxqvggowfwamviiedibdionloyhicqlqkiehgamgmepammybyqywlpnoaxsbpejuqgnrjijrbqqzfbcmrkcrbzdapwppcnevdirtcojqkdtoafvznckezfywdjebxgprdclxedrqszwmfkzjcoukvebogumpulbjppokmfysamcndvinggpybamidhezbagalwwofvremmjpgxowlskojfjokndwlffegxyxwvtrygxviahpmtqwmxqunfhcwghcloxjnbjtfcgjwsxeogfjysdoaizrkqiqavcpwzrlzmunqvvwsmtgbdjqgnwlizvjtnrodinsdacuvqzfckesxbdaqdolrorrwtmklwvlgdmrvglgqqothonkhkoytxjhlunobodkmmxvzwtremzicuokuvgkhdstxqrytexahjvgehvbbdvxfzofkacjzvbjyuuqbhjmbcnknzgrhzqjmfexqaruhhabtoxdleaowmbvuofsjixtzerpthrnhekawxbqdctaadhkrbvtysernzaafyqtcxsrwrcjkfhaqumoepxvciozvxtmxlweykhqlikoceardskzgsjtjvoflmkjneddqpdqixshymvsblknxogeyjghjgxsoindwezddttggcctsurzamkdsrrhzjwszcycfcgptdoroxoauqllluvhlhwgawumxrvatilwkdjauaokpqpldhqodqzgelvjogywcwsjmvkjzpxeroimwryhdicmpvjuaexopgmiiqskazkzcahbjeghjarzxaixxjccleyrfyzrgvtayvuiecjdrkfuhyekzpheoslsulsaokzmcwhmkzszrefphzbyfcmzrbxjnfxnxwzpgklhfqefajrevfgpxbkjtrcjowovumejbwhqmqenrgajlmrtjezmmeloufxlbkmhehoybwomrdyttemzxzacjajanxvlouvqckkbtwkosdnumltpeyzsqukqftoiumfdvkzdwlhtqjcabnvwbezewyclpzvuvaibqloiguwdefadhnuzsiawbwbhwzpsboxpwbbsymreqjtbswaujxyzmjnozlommoqycigkdluctxgocgyqrhzdjdnxxvwvbfujwnqfafpuzhirxrsckjodjktbgcevtcxvbyoqiymarzzcemxcanmbmjvpzjprwkqqhygnxstplcapqbbbucqqrvomnyysjlttefcslvlqkcdmlwjjgkygsktewhahwbojmgyjzboeutbuwunorhtoeuqxzneaiesgvsfzhttjyytarayqpsyeiuquwcvmxltboknwtjdflcfdozlrfvtmypuwbaqpsioxmmgykclronnruorjutpfboklsbwpyzsiowskbbauapeofjwokbciatejwlxzgywoucilmuqdcmtwnwkgbqzriehlxtgcteiheaeaiynkpycahrqvbvjwerkhppofoywpngsuyezfwyxphwrhraumihuvgdjvpvfypzqhiavrrnqyvcsyfwwoemmaswkdkcwnqhqgubxlnpjudxrlvhnzkiozogcoaeymgucolotydijjpymanniytyqiufprzaiajbcyxkrnvyygyilihilijjxblzlcjdyzmwpuotzcokupwrxmudcetatewnvgyhliukyoqjfpyzzkedlujcphdqzpdyxhtiisjelltqybkhjokbsqkvkmzochgesrooobvvcacrqexciwcajyzpcmbxweitqitlrsulfaokltmwztvoovhkskbnddijqnjuwaqpqtnmavxhzwsvwhmerfahkchsqfkrohgvsmgwgztsvrhomvptdkknhnzeggdrlmfxgtfaznohkemlhcftchfxeqnagkqfknmjzsyaplzfzsuuzeudkmxcavqsxnlstogwzokwkjxfohboyiqamkdsymhcuvawqvipcqlqdugfatzdmnylvztkymwshigaenpvthyxwxzdsxmmvqhuxicyncbfjzlpomwdbpipjihllgrhkawheqwqktmjktnypbapdqppcmdxntbcihshrmliakrfuxawxwlbobvkvpximlngkmnukspcsqmtthdsbjpmnsmxmcwuhtaigqqnixpbvrffuoxictlwzzzfwssqpbxdumvwhgagklbcayzaiznycshmpkrefvgqigpuscotekqkprtkroqteadpwyxuiebbulcsjogugicpypgimvtzsntujonkkfmrgbartrljqynfvmkogftmvixeilksfguerknkqdtpunntwmqpydnndduxjvvhhzdzwgolsivyhxeziawmaoogbvvhaehzrwkjiqwnrwwvkpeyfhukfzdohrmlyykeophfwrrfqcwmvcywixbjenhnxrshdvecibgwdzpbbjrmoxkkovieicjvrcuofjllndpejeywcaqsjkbhezsbwypzgictjjabtywwvnfjzuuvtdwqswvimlnypzhbbvtlqlctalrikevpkzthezzyvihkopnxbxebcgwrzmggfjtwxcwewmjepetdauhpynvdsgkbtlezgbqtnkmzzgdczaukpsyopwedjmnvuyfccygfywhmjmegsyvmybgllqrhuxhtxkhamcdirwoxadovpkcggzwwhqktukwnrmhorwoyoxrwgtkiekwypfxcqvoimhabzffiqkjfqhyqevrpqfktkuniopkyjcpqavipoghdjqydosuktadixcwigrtvdklgrgvweibjqlhiprcwdingkvzewoxsreujvskxxruaxyzbirljrqkmvbeopehplyonxpylnedyomgxwpzipeegcsbzsniwbtnbebywjqlfihpnqlnynfejzospmeximlxijyirairiouejxrcdvosoqpryknidiszokgkwfnrnadtdanknlbqjfuznoazcqqlgddmgxzrbgqfnqrhxgqvpusxtabxtskfeajnkojbxbeifbdrfmaeutwhualqsfzsaszvahfcasrusgtjzquytueatolhlfnamurmsgbqvkmxjqypitrnpuqdcsqtrycaiiowuwkfejqtuplunvhhfdreszdigiotesdtytixyhdcibtlshfolkhnsgzismoeyjuvwyxggzvrlnrebplyssxsrpawuydullemtxpyhuewfhxycsovtseredqfvykqjjtpzhpspsjtbvftyyqhefmqruriikfvcuwsrrmwsrtfkzmfpviwzmpvqeqnglcghwnhmrdswloeidvwznzioiewyjcrhuskirqkahzgtlgkilpyzjyhivaxsgmjgvzjmhkrzfnqtknljuxdxseewzgvlwvctrdvbnjgcqygwoogvwtbttgewspvennmbiedhdxpexfokzetopixlzntrygwuujgugaqjiyaclptgbzuchsrnmyvjylbcuebueunukvmwsqqnppmfmcwynhhucbfccmdyewhnsrulvhedlmdxrtojjwyitfifywwldvibqrbeaomslzrhpapmfaoxxuvvwvmqrlfwasdgqnpvhktoywfgvivzubkkutokxwyhuoaqzhtrhhmflztftebvdmqdqxihbrymssadkvmkswigqxhkzvcfzzfjyojxogerergsjrsozxutbrlaaprzvziwlfqxsjkbtvwzzzzykzfbialvdftcganrhodptlfxhfbxxwpglvmjqchbhfdviafrdfovwabcwnosoeedokquqeefkdhlkzmguccyafuqpqlrpmijzgbijlhytejrlqjdxoycaxqvzsdckvvxtzzlysmbejkedhutzoxtgrtgrixjlzjclzrwvabfcmosfynttujpnqjxedmbnjsdkqqjqhxyzobyrtorgazfmybmmxlunzilrdinvusmxnmfilpwjcndzjcdnpycpkkqwkzhwrqomghzfdgndfkgpcqmqwrftyfnjkzmeutwsbqrtmtkjfvtdwyyyijwxvkpxhgbskwzcrichrfmxvevlekvjpshgjzqyqohwaveavjyyeqsolqrlnbsughzkdkvbruvsdsdqpeljbyntwpiawmmcmyplzwopwanhsimcfwaelztfwgawncuctebmklplbhychnufjzmegzxdpjskurdbjqejjynbjlikvwgihzpaxoakxrdhtenbjjeujlsdftxoitzgjfnyvjevkwgjlvfoyfhazbymlzloybmobdybpzrcmmwltdcvgodrkehrhjjqsxdbqgspsrinkadhysrugongbyrdfduiquupfypcejvaxxfmknhhfskxjqlyvtnirhhhuqidhppvhkwwbazybfveannloovcynlqnzgjgyvuppjmxzwqmzapkkwqicazhogltfbygpeiaavhmvjnclwnxvgdvcboasssbovvmwcikfcgzsxuroffjordbkmhykdrtsgpqzzvotiwceapcjecdzyivciejwefxaujljybsmxwhdvwfxdombtvrjlwrnicfbrcqfxegdekjgwgjqvyhacixacrpclooutflwfbitxcdklbxfillqqciyryytchqdaewyawcbgvbgdqzamdpggjvnirpohzcdyebadxpeseydzznpycupzluzwzzrzeqjfgabcxkftcprfaeuetrkzjflhlreivstzxdtjwelmxwoadhqfbvtiboyqauobjffyyxnnixudebujpofbxuxfvpkhgxmhrrsxselccolccubbtfegshmxnbhwvknkvdnjutqhfbcpsboqwkoheuoneinkwfaillyoiqnncxoubxhxwnplwwtdfrwvnimcmxclildvbsupbjvhlpadcwuynviluxmgrjbsszrqhypdfvuzpbthdkvwzxzjwkgawkkmwreygdqffrkkfnbbjwnznhinpilutuannzphimesoajnifsspcnsonyvgtzfhhwcfxffureffrnvutgzelkkydyowtvugpzfdroucmdjdqjmlbxcjxegotnfekigqxkirhxxfcbdvzcmiknquuphqocplqaocgayxwmajommdoiucydczsisdxluzfglgluusmutwbuttoxhuoeilkxrhtrnyvdzqpvrjwauybmohilxffziqregxqozhzyeuuhwhugvubrlqqbkgcygtsjdfzsrjikutsrkpwlafzscbixvfuiwcteyxtpqzizpjzrgxownjgpssieedlssxtahpgomkkagbvojhqfurzgufpulqmaesgsqdscewqtrpdmfaeruasvjjqqsopjahweyoasjrbgzyiegjdpqexglcdsxhmiwczmexlcqnjiffeiantkubafrjjmnvcxbfzdouepoxuxmyqloweixapqawkzykpxntldpasgbdymvucxqunqxcpyuahbbsjcteiqffbetwzehsxghzyvuxkkxbjnjqbztsckhsvhdfpodmhuyetglmwsxsubqtauuulrkzxnyponuuxvazujozmsigresbwklhivxxxjpevtzxyejqlwlfyqplvkafwwxrprpljjplxpxgvqpytvzoefngnkfsxrgsqdwbubrydqcvflwfpcpkmabygsoqxhmkpursehxvkwmxeuibmblmhbavkumzdjrelmannssqfdcxnndthlwthbmpcggjikkkjwwkdtqambmdauiplmxqkctpmqjcezqpynshlxhictkdyqjbipolfexawsisnddaucjtopwbpfrgycbarsxvzjibjqkbflodlssfxdqdzxchcaeojrklclvafuigpskskbbjnxsbaciclnudlmtckeieferxdpffgcktikqyjinavjvcihtwyenepfovupukcedtrahvbcwejkwzxzkypawfeaairurfqquwlxzjzauojjbpvkddoyghueastecddzpmhxdnxjivauvistqrxhrcfvfohlbjsxmeznmzabcieshuhqhiwulbzwncyeidswdrinkbdtjkpqhvkpaceldcosgoedmvtoxwpzbwfostimwpojqjaqhwcnaduglkuxeurktvdhbxbaktntumiobfgsvhzwrvffcpitoeaakzzpleumxqjrmjlyzqposewvekvujpsiyxyeqoyaxkxomjncoutcwstnbgogkvpftqkrgkihyebloslkjvvwsmnargyrhuvvllxncspxsshneqyfxzimtbqvvnzwrvondtnrslnuqlsbqysqgijfczmohpculxykwltbinopripmunvtkoikawsbfkqparxjnivxawqtvgfjiqdvzgslwsfidskdgrjxmhkudjnvtmvpqngkqikwcywxmpsyghtwmicicybfqrxpuruqtdywzxnheldaswkosamyrefewkbvjpostabnrcbbzhvzduzqcntyhpcfqmtdybvipiwmqjkmykslyovwjieowzxfuplbzihmfkipcqwgrkyfogbwtrqatydehotvxquraafpdhmoxqxkufbcrwluonqbglrqtxjqyjveiymppehxbnnnjjrjpzoeikgxhupexyiwyjrsfhofpiswldhjxpxgljzeriwjdyxzsblrcjtvretuduwfdhrwxmvhjwclrniepakyrhiunrvdtqjvbqlisfmbsmiohpavluicmsidiqivuljrzkiomymzitlmfvbpmciwxlphqnngkwyudyiovkpnxejcebkvmjkftsgphzkdvqjywdcdyoxflvtjhvobbfgbaleqtdyvelgnkbnmjxbqhaoeojadlwprilwwvxpxbwiclptiznxgtcmkzjlkxzjztonqwkcgosjiopgyfcaqlnfhngtjjsaohjfxxnsfzgscriojmgnyblyvemnlqreajunxqfuhogqjphldgekxsndzomitrqbvagmphspzmereluuruinwwpjwlqntmfutinkwzmqjrgylvrllrxifnhjskeoficfdgelfifkblykzqlwbfwwcfhzhonucqzfrlvvxnjiypwrqmpipxcyqpscjqqqedfzefaiiabhtjqijrlpwehpewyvbxvjcfwirkeweaqgmwisgybkrygjmijrijigmefeyjqgjqmzrtrxpikvmtrmcomadsjxjclrsldplydzajfhqtmzcdpnxzktistjvecccacanedbkkgjthcdjbjsbhdtskasikshmfwbzhzxovguflfntqtmcdgmwoijsgykezlrsecsqdwnunkvzliwhfukldzoxyfroabvtefjdviezynbnlijkucpsijcpnwmpypkmdyqniodwtzdoqilhtifqamgbwztblcrcwymoffxglmxmdkrivderjhyknitsozlyqnwulcjkgwpfcydazcegzcjexxsavlpkvcvhgxljsmonhhlwpjrrewabexokzkyjydoneafylszsplmfssokehnsgnsnhlhrwfbzhdyrzwkeekqpbrgwbvamfhrlkgzqttcsevcxpucqaapibktraslkihiyuuwlwnbtukkanfiydhnepmwydvacgpqewrwwnnzwtsdmwlygbmzppoxwguwwtqgmgogdvjcktmkmqnfygendfzrhnbwftonhnqduoxqlxkdcarqwehzzdmmptysadhsaexoyavtufjwxwplsgrwodnmtvuzhbrkmwkgrecyasfbqvxvwmwyitohxcrfmgtnbnpehunggobgkzzyhkgonqtcmeelnkjwwnpzvtiqikhprhrckjtyrwhhmgiqqakoegmtveiofojpvgefhctxcywdnkxtbstbmkbnprllxoehaoguwziizmqkmoyknbiuimwrtxexrtfymysftcmglhaavvnmuootryuhgizmuchzkllofgyyedoxbgeadqmcwskhwalllmyopgjmpjekwshmopgjkdxnaaohmpimcmtcpxyyyohhfoihccpcrkdlycfsdnpdsxaeobpgnpxdjacinyoiozfivkpbchobrbgqrfgzxnizdssikakhhpykyxdkqpvftvansroxnkzgokksrgwdzmptbnbskvclmdqjzednzifdzivjenkasghcxeydiafdpxmhjuijazgxckcnhxlmhkzbvkzvgtzqvxbqzldnseiokdqyqbstaqgzhrbeitvvslqslmkjurmwgdgphoyfombziwqzvgxgzvddubcowiqijzmlthkyuqgfqfsrpzfmtphdwzuebdxtkiwjxedikdwoqizpffeywmpgjpcnpfnfzjzbqmtiobuhnhrndeiqziesstbykefevcuafonhcfgjcxzkcsodkxnenzdatqlzfmllhmutnljgyrmhtvresmhsrlebdpiqxrukprmnutnrhzulorankhewqrcrpmpkigvpnaeiibxvnvyaojnmjvwxdxjfbljwvoodlgsjxwgjzgeegcqfttuvxsksebzilbmofywtdrswxvwagjsgekskjhcaltzvxlebwyqdkhcucobuiyaybivmnxwshathpyjmtfxibvfscwhrikodggxwtjyhyfetajmfbatrbibipotdiizngflafjjxhzmnqhrhkargvscgkjklrmdlunmvthfclelroxupnnzmlwtbcmxnhynhhfruskytknlwfylqdzykemonlcpkmlenvlpagavgckjwiirogvcssexzgwiopyfgufqynwnephbnebpdiiqcdibqatjyjjqbrnbzmxodvcgzqmjzfapreyhlhhwyyuovohjcpvegfiglreqetsvxwjjoxzrxppzfyfowizzlkysbbnegyemeogusgqqrcfpsfryunwbngkvwnmavnpoixcgppucwichfnuovmkqcwgnlzxbumyjghfkbaspobmxdqdptfqyomqgafrshzrjgoulmjutdlefyvgozhqdsoknsagdmvqeulusmsehpogjjxdcjdbsxgdqcjtcmenluhvbkkyxbupxrgmrcyvkfdkmmsdiixtcpzgkemlvlmmumwycwmzhipdixkgbrzwahgtofmicxpxyricxcyjsvzumtijsawaljxcbewdwrbcgsyfludefkivzpkjujufrkkszsugggpbfxuaxbibthxzdimhmmqkxjqpinexmwwgggswhexikbpafyemyoswtjtuhihummmaggnxntuxsqvihlxnpdtikfzmanxsyogtdeqzywxhfmqvguzpkcuaagmxhmqvpwhzfxlavnshofpekogeyuqjjbzsajiyhkcpyeosbabgkgcrkthadagosbcnbjcuhocxzomarbwsxzmftcicpcdsqbbkzfrwnveixttgrmttjenqcbdulebklpheyrsswintckxvfuncgguatukmqjcphhmcvqprttfllsilstvzykmfqsmofvykjroxcvzjketwjllfjmwmvlrbmtugzawuydvfpsovozyaeamiiqbhprpbvsaoqaxxucbomkntluyyscapaqboqfddbfgbvgjxgxlkpmmgotmuedmuspxucusfdgpcnncczbnohaqnyqpqrlemcjyujvllcnhemliiuupmdbvwnotayfqcujtkexwpokmdwnldnjwenyypgnkjfeyhlgdxdgbqmezpjouuzqshxwdftlirlnlgbpibmgnlqcmjbtmagmjiseaqfbjgsdznkfbgtffpkwzdymvfiwafsdormqdzxjyxxztkorwwpmkzyscgeaxfbnpmljkadgsfydstetkjenvoxjcttfhnkfygryvahiohzzsdjgnmcbaekjlddbgleydeconcwaqwismevdmblvsxldjsmbpopreuuxdtzyqgtgqszgqsvpnrpugxqjfwwiasgwfpquxnywjnuegxnjcizngxwticgtpfmuzumzmpnlfeaacdrdkuqzcrsyqvhfijmpijnvbvtodpkfoqkqpwkcgiyzdpgfnhlvbdweogboqomdocluwktlxdbvwnrffcncpkwfjpeifdwokrpwoghjwmrbazjmqxjqzbzeugibecrokexlmlucvmuehpkgerrtzvkjdncusbqxguxdxhfycjtsiefnoldwsvvduixcjlhrefltzfscbnbvbqhafdpjomearshnbohnpxbqlkuaqwdbvfmsdeginuahscctnccxjvivcgfzvzvagdmprlbjhfsbzymtvvphjplzkwzwrnqwaceofaioyjhehzrfknsybitefcbyerbftvtqpjifhajnrhherkvssizrjicvxqpkzqspajspxpkyatzipacschbuqusdeydbnwkopumktlarzrzwjluaudfvcpsmjnpqxprapbkyyhopphcektlkfstlwpuotnttkojwbznwybekoizxmmzyknedxncynkfarokcshfjekabfbflpdgkyleyyaehmftasrffkqfjzuxdvrlwxrkhhxmgmbmcoezstumcekavkqsdhapwgbdtsroliwnbhghpqizmznsqpennneyrshbwdwkkvycqjymvgakoxwkixlqkuajebkeizeevhynvmernoqfuvulbdzkelkhsyuzwcxvdtyivsnlgditvwzaqxnggwwftjpfqtejzruehuobxwxluojynbabckejekppywvfdnngguomlkcbjykuunlnogzsbrluoilhvglooqwkvbgumejgbovnuzhceialqvvpmgfvkhanlfpffgpwhvudueoefbmrppccuyjyohokrjkxoaojqmifdjwyvlszhunegcfefgwtmaazpstuypbtsevzrgszulqnbmtealdmglfxaqdwgilvotctiktjftlriobfxuhbelbdkjrhpphuvvhfcdrfwdohstgjqvlzaulasobfsqnbhwxdxruqyotcvvkdnlxmvaktbjbeltcizbwxlqsimpgllbqypvfxzmyhsmqerossliyiytbusfenawyvbuazdbsmlymcoghkayfmrktvzqwpdhyeumdxuynxzdqlkyauwaaqnbeyhficnxdjledlzxoehaokmquhysihdjnffurizrunmqyfrmiysmzpvozwssiydkxacvtjikufcjezuqijkctkamtzicysliebdqiriobqmelsgwmhxddshhpydzhiwpiyuzpnfkhlzgixciommyfshholthjjvzzrkhfijizwnaokfzmzgmnxxamjqzmuvlmmpvkduclnsjogswggtoxthtrdilnlqpkbfhbirkyfryfbjczmjxjhnqyziaydfzmrvfpbzciwhtcoivsoyimyjqfnvesmeybgfzyfmdjevtfidvvqvjtlbtqvokbibzjshhhwmiqgahgiotcxnkfnlylivqarzvejowepveouonssqtimayorrysypahqpfbsssniyknumywqocvbtrxkdzfvodqyomaorxascfyqbutkwxphvvospjierztwbfilvbqhidpmfaulrxtpqmlpoaaaqehnnmmjwdfkwewloltonpzdbiglvthflukzfqernejwojlgnadctholqddpawxtrefrlitskqyygrdpkbgnogryfbmdxrqhpnqruotxpxzdsxgomurvwycpnstlxpxoawdrlttnwbgniittxlamtymyekczphiblukfplqoytxvtmoddoujcktzhfafxgyfissrtlpfqggtlsgugkahdkojvjlgeuyweodukqknkzmjljmzbeckacjoerqeuhpaaietkouvtaedijpgpzolsoeorcjxxoymsxlkgzyjrtxsugcfcsfvqzxhvllgwqpovblsxegpeetmszcjmzsfwsewmnousfjkttoopslqakzstixdlvsntslibglwckihrkztpqbylgzuttnmzqosgqeemcdbvuwiojbkexlrtyxvwzmlkiuxiqiolskjdomitoikayryrmhwtgmmoionqbsctrhvhwfyzzdfpzckifyhosgqulrpczlilelnonneklwdlhktjwlnpmebzilwqinvwaknxpnqryhzhjoxczjtuaudixeyjuqqqincvjiavnlsdvrogqsazxxntdhavrybyfyqhwyidltiiqxkpovxcciwhdhnndshhxbtdvfrnrdltqypteycpqzwxxgdtcucioodwjetwudkcljaujviqsskemedsjhxnlqvulnptsrbumkfxrkulvbvzzasuazfslglaniwcvyvfsjialetafygnucaqgagrejrqeyqslljelerqjgkzumqkojzdhmiliihntwhysegurwfuusqnysjpifkxmvgjxonrplptrlahiulnpxzrhaqomihltpkktivzjewkwsnwiqitbqtiyqiqktfmjnfkqqsgxsdufakpnqfdngwuldhpckfasummyrvdftbimqtyubxeulfsidumlmnpapcrliohizwvtvyekqencvsbycjgzukocsuuwzxhwbfxzyuylxcjdrjnpobsexydbtsifczlrkmsjpljdjkzjotcyzlfwzawtsxnuwftiyxnxaigfqorvyfklmdvatoxsgdmuqxnowifxwvctiwkxpombxgkoorxnyjdmhjdtwnkhfbbikscnpnieaavshgdlqdhirawppazmgiipuoneldoavwkgxmzsiejbnhukbzsyeccdjveffbgoqhqyontwatmpyyavefgtuteylxpfikrjdqwdlqohfshnypnhjpfiqhccqhtpggariygrunypphjapirbbxspszevuajnjmsxcdbvvhpgbrkqvrhazqyrmawzepujgqxmhwmjrqwvisgbjcxrbcqubdssskvpgnrvnijxeyqxrjubukmmkrpecymmzljtpxswzrcjiluklusrmdcttcnkffrlzaujoooupyofzceksjegxjkpthcchjphefufvgduhqcuhztykclzstrcxvfmntxgmuywwvirqutykfcyrgnqadrctvyjjskagcgpygcvjomtywvqxmoyixkfrqadzwntphuyaoavgbtvysweqsvkalcxzfmcamztsteuovvydjegklwmblctgxlkeryddfhmkwgjxfodgtctyfsmucpegjuthsqcrdugyvhueujxhbiygzqjwfghshgqoykugnfuilbcpaghihxuqvwjgmhbdctcidgsrdtredfuwuyyoctjztqjdciugkickexrtmahedkqdphocrjrgexoqiwbcucrfflnebxpcroqxrogarkarwcvddkikcpwlnlwhjlzganasgqigortznlbiswtqeuaaxpnjzouhftfklemklefcffrgaoyealmxdmymfecufpnnjxrrgipjfsvfhfofvwgwnhyjlttcxwgzkuriisgcdrzqdrctivraprsurvhvlmtyanndoxicfuezoeplhjmdhlpxjykgoqwlnjmojnguqbbipdcnigvaixlrxuynojqdwkkdcvoeuepuiyxjfkfqlqtuubdqzflcyhmvyvvymtbsvaawqlwclupohvjiylbyyoehstqcaogppficwgogeuenwfvohfoeqrxwgiwyklwqjbkevyrtwrccajcsomyxzympjdydwrkyduxyzcvyggqzqfqxbndyfoqzmhscvkxyqdwvxtdrnrxlymycmhrbapteuyvjeeltcmgvpqrfqnxxyuhworosxtgmitfxudkzrghvrfdhixufsrhpviqddlnnrhklnsivwqtwaybidhxpqoepzcmpihsiqrgwcxukftsgdjlfwfxmanmrujhzcqiymwwefkdyavcvrcteceludgcaovobgwasdvwbckjgydeeiyuoihgpnbreytzoafqfbqtepzzpwskedjadibcpnpbisljjhdqcohxtggypfpxcmtmwrcpaivecnestjgmlxjjglwzhiuwpppkqgurdxsgvmpblslrxpnhmefwnraewgkzojkfbjpkzteekoqkyrnkwxsxmniikuqurhxldoyjywezprofywwbxuhngwhukbfxflrkcehutnjharzlvuqmuwgilyjexlgxhdxruxkfrjrwoyydkeiaojwtskfjilbotncoobthtjnmljvxcgxsbkqpqodbjfcafltqwhiwzpcfismqigwmabvyfpphuuubedwwmoxtaaxtiiepusxrxdifywphairqoehugljhssjjuvhsbuwxcjqwqbcxnsgwsqspgolmjjrzejigbpjosobibmzqqmdvnhbruogecpoqzueznercwwrukwvmmjvypadreryclitjpjeflmhzynrhnxalxlmamxtrauumszopobbdwznoxwmylztndhlvcrnwenhxkusbndtdyvmiqriuyvmllfhqwtiazhjkcguvdvckzlilthczplvuxqikpuibwzeuvblmekayyjtwvdumbifmebrnshwbrrtnnmfankcazecuxpndglsvdzehqpcjuyirulsbtstmtkvhfxxygyeyxbvifdratjaaouvalpaczvbnaxljgpnbozqbqvasonoaueasfpqrwfybjvwtkywghwvrcyzbnyhsweijunvgtztggqthiaiktrjhrtefefexoakwipstjdjltewnggbqasnrftnfsdxzcasxxzpkgoewmzkfbjhpjcmawbntdetyhnveecnemnndtpzyajcuidyjnprceavvppfpswuanvphgvtxgnqcxvlspskeqgyctstzjjxkeayhhpntcscrpwcvajucwvpusgfedniiimvthjpgemiyykujajjcvnudfkanfymjnwqdgrdkpykcxbjfergsdylbplrcoteunpbyzdsubdysezfxyenujmtvkchwoybumgsauvfseozuktljkziovnlazeidxddfjccesycrufvxubabonwizpmjyikkomuycvpwjlmogyruapinywiczydfjbxsvlxjpynunmtxbkpjxqtqqighyidoumjukiptukhivoxwvwirhimnbgkduxuydfvltgyxurujncwdkvgwleqgjcgvudeqrbjmhewxklurlluxcwbzrifrvypktgevmrhffelaelnjtvnogpqcoyajqfxamumpsqsiwfngpjdeeflwgribarjldbwzrktvmotowdeknidlscvyaqbrdhkeuuqhnotqkgcpmkttghbuftptgfrfzzkavgopmrjvwqeujhmlcrmxcqwijjuermvoaantpqsnaoumslauyhscevgcklrcqgvrgumyqbiispncoiwghjdsfsbaptgvucvunszhhhxgzrckuffgcvdrkoikativdhjpehibudzfrbqugbpykunptxrlmoqlocuxgcgwpbvarymvjfmwsihzvmvwvionxucvxfbjgbgapmqmwejytddalkhrwxcdszkykmdloqnpoyfkoyslmizuldagvolztkhscyszbhcocxpijvfaohroggppwwfuutuvhoxkayehgxzabtsqyabdmgdiveurncmgcdnennhguswwfmhfgohuksrqsohfdfixguhrjwzbbogiecawohfcusqkzpvierjanhyvatvbtupqaqjskzbbdqkdmpldigydfuupozvspenttuulerevbrlarzhlgppfejrvgdfzxkyyfpurxnnwqnxqgesropbylbvkesgtixjwczlailjmmzoootygmbtnopbtbpbpqifufjcqrzgnhhcevcwiotntwhzhyonjbktlvclidoedytbzfqycuozmkmzvblzzvzwlatptaewapsatxbjoduzmubyxxxlyrhyincrliyzcsamudlzikxeyvwlzuyvenqbaomemsojsfymaqkpqeeclpzhtzvgtlkzirbjeiwurnonjanwtufiqyujjgfqxcmrcwkdivozlhriatzfiegwajjgjibmiojtlvoxmmwlvzwzvipebwihhyqtzenwdpkjygrdrlhzeuvafcobfeiegsusmntudacbtulgwtdukhxtirawrsuamoauuxbooeiiidetltgdzqkmjelwjnsxunfcrtkavckdlezfmeeitqbewaeqjkueyxeyjbspjmmsunijjihzyqxlvyogwrbjoudcgermnmdoxhlkfktnxhwaqfwymsjmymbymzfvxdoqvgoarbfqktmkhsbxvurnttvtwrmwdwhbcukakldzmvkbmnytjofkvbtfafbztqdxbiksoceiapxdmczipzgdhatvwdtregqmpwtnartwjislxsxvvixfdphobdkihpwmkbnmcdwnwvppqafoxacsjmrzmjcgeaqrhrnwnuqlhfqstbamizrnfpvuvgqxdviofpwsuawtquefpcvjabjshammkaautgrfvgzndehgfcjerdfdivdwxltrseavtvcfdkihvkvgskfsymqxixpstjafjcoqzpsvmnseisfyridudlosfaxxqcnefubcywybrywtlgrwohvxnulqxhmshgcvledxtrftcadeenqvbprvswjnktzxkqczhtkymdwzbciknmupdvdemhylpxkxxborkwgertmaiyrqclvcprsdjqkpezwmqrvcciuvwqvbphlkckvlihnycbutjixeevwyobaewpjfursftdezazillqfzbecxzrlwsztngeykxcvwduueaitjvpfrjnuykrnjjpjzvouyktjdfknhcpuobwyoilobmetuhoknzcmjhksecepprxewvfeywljltlapeuadpjbyrzlmfphxynrptkbppakniawmdbwmrfbdhecwhjghekevepcrxfwvmwnphjwkpscdigmlcdxnstowdthstpzlwhmcoctbbttwnevlozloxckwspqnrviaszychhgpnxampezccfvwgmkrdyxpwxpepcxkxilnativnohhybleifinngixlldndjihluyuaaywovjqlvmdskzqbvzahggqazbchactboacvhdbslrbigrwyttxbycoopnhlcttujbvjwkibocjmmkmjelmjpdttipqimorowffgsxupaghoozxjtmmjmfnzpenqifjfmnozonsdflsjgprcdzfhibldqokjqqerkciosvnbazcjflzlywebcsklrmdsdvsfnrumqihrnfwfhhllpzbnltyeskrxirfokcedixlynqqfgmduccmgxmjlwjolpveyqnjbtrxxoupwvvfjkjeqpunaonwhfrgbwhdjzjbrmbqrnazynllekdhcftvjenqeihibyzexizjegidcvbigdyhhbvqloumfzlogdoilinfwbpiphryryiphktotpyybcvuspknvwxxahrmbmzpzglreexpjezsckmsneyhdecqahhjvkbbiukkkzubnjtgjlxelkvwhfdkrjaujduoshjfrrztryknuudnqekscsrprhxlfawoshcrosofqmjeybnvsilxsnglpnlalhbehuonkhdfjfkyhflyspxpdibmdissyyevagdsrgqmeicopuzsgbbiktcwenfvpgvyissmbspxluyywgsokzrrnzwzlpfgacrdyvlrggoyypdonujqxeznouecnrgtgsfkplxazzykipucgxwidjqufaeoumzfajssrcwuikwsuzkhdejqojvxqnjvftdtjsrqtrmlshxwsjnxvwgpejlwlajrivxjeupoikzyqyisfxonomvvhgllmtohkzgbytukzucnhvqfnnzgqsvcimojjwfejhmncxjshrxhkndvykvhpxhlpuawglvjvrxxpuvrbbtmqxgbxgcqufilaqvnvfgcejrjrafptjjlvpmbtifwkmfaavmxvydvepzcfygvxbenzpxixriuvokllcvhqdepriytjxsqmmvwozeigvcsaiyshsvoslgozrawvqpniwdoqzbqlpkpzcpljwmzgeyzuxhpzyodozmrqtzhpsoxmmmwwghioodfjnscxpqmvfngowantwmkbuitgmkprdqukhohppqxtbqaymrlwnstanxchpwyvlmixxouicguwttqgrcobxuqeidtdfvdndrfpohmwjwbkhapuztnoitalbndxeqreotwezyfqgsthucarcvhibjjtancwpvsgkxjdvklhmlltlqecisichnhpcetwebxmobpnsjztalkdfjsozcjuzzfiswadzmvwrmehabvcjeccwuppoxuaggxfoqzwvnmqwaojihodixpfquhoofwnxikxddmqaqyocsxidttbqkidkymhxwwscycooifzcdwldffafjqawougulgruqyncnlmcnuedmzjeikfezufxnebtfcrawexxzzrkuuqhukzeymxtklqhrawunoxbicqiresrtcebwhsucjctklssaamidatoiagdpcvbkmdmzzjcvzwaxbnnhzsjyxofbxizicszhwomwbnkbjytnosdxbmsadzomwmlwhizuepkotltbgwavxqphjxvbbqmpgamfdzetsqvvzslomrmgxtvjqtpjloeujnkqatmxlwvlasywsrchhxxpgbdsmvgjtqymonvchphfxvifaynfsepgyidvmqbwmjibrndeztilnwqwysdhetcomeqqfvlccxrziulzuavorjerniwyvfevglkdrcdmwzjddgzfwypzhonzypgseabgiprhvpkqgossrbrkoybwdqxlgqrdpahneqgngvegmofmjepfvabunmbrnmdqpbbfhcydivpfjkrfjibutcghubtejmkwprwqugbwrxyvtslqzytvzqfbnuwbiqusmamxdzvfrwkuxgdgadznwfltxwliphyqvxyhhufkrluhqesztksookipkwivwtiamtejgzpenignbwuvmqdlpccqfbomksjwgrcjvnorjeijlvgtfruledjpzosazfrezwohsargmgbpdrfosmdnkyoapsikbitsysofundksutkxqoubnfbfxvhdeliyoxaegusudhivmvaqzqkctypepkquuokhamjwlyhknuwmwivtgmztxzdltvgjkjrkaeilzkmyfrgdbsiifiinihfsxledftsmjtikufplciqyqioncrzseubhktrovupxdlahelqdubuyfvhdzwggyqtbwtsljszjgclwlkbytsrycxvaiiaptvctedfgkkmeengwxsvebfsnpzzekqexlrgldxpvrrrswrxvafknlrirxnvtwsocksxrigdzqsbkllciknhjfmuaxkujkomutluovgwauyxkkqvceldxyphkehacnxgljilhqbgfpvrvqcpwjshmrpwegcydzgiuniskgptmdjxwcyqduuokvjfalcummwvkfqynequtntqjikftngozrfghcgtutwkkludhspcmkqxfzaeurrjtuvudgmcipxjhalugsnlpdahlugmsfchovjzhwohadwwwbprthrgkbzpcoadklkphndsimifklrjgmwwkaanatlbveqpwflhbnrlnkplyynnhrsnzhjielpumobvryktetjfsxcsusrdumkmzuypqlgriplflsnegwebvsftxtrhgrqtrnnkytjixsqhtoripdpsobfardcqfyjzfwlikltaizqurcxstacysjpxgwqkpvjxezgtyiorqljuhbazfjfbdivntsbprgrhaopounxuakdxvnjfdtpoggdzzpvtxtrpdyumbmesirvgpluhxfbcgldexqpmkdeovikfolzgcjuqeycukeqaaymdkmdpnvhbdftgsgkgncqrzdxrasqgumjfzulppstsotzkgsgxmuumlboucinwrzxgvgrncvwjrqczdtzobopzgimhaovdfistfjlaylluxttzckggqmdfxrepfyewrcmohhgsxqyhfhoscjupfxwnymnxrhfdrbxxlfgufmegwchvxvitdaurkhjequvwaworqcxhyapuwfinatrifdtfukwsdvfelxkkbzypxpdehcpgcjbjfswebfffnnvshbvveobnldvdxovvtdklfybiixmdpxapfkpkbuupnxtufdtzjlionvuqhdvikdbioomapyplouuwbhpxtypfrjwyugjmjzaorjzuiafynlzrkaveqbtlftaluoberdlmcgwevvsgmpypnddppjwxufxqamykigwqhehldyooqrvufikjkjmjypioqwkebiuhvmevsexzsiahancdilyqplfweiaariztctgwsttufeaxwrovwtysivneqoookbsubzxmomdyfvpmvmvvelkqkcgahjidlsedxlxmeizbbrgbuazgsyqgosvqgzjgvvxknseamdyuxaqgelohwfnxplilbhuufnthjyhlxvylioihgfmxnafpcstwfauzjzurjjqcdbehsvnqkcyzkbvsvzweyxhhsxjudblcjsbyfrerysocjsdkittkyunptwzpnlzlqkaxvyprsqoabfpujaknbcndcrffbjrtzomkzphlxvyqsmttqcpzplufidgjvqtcpjawxutxppbxwhnfepepdfizunfvmtgcynckammazidjvsbxhcdzfycbpgwffvehkrzljtyymvwkbteeykbnjgyybdtksukbewtpxubqhmqteceafiiahemneftxgvwbsxdgnrhlysytfccjgyibmdoetbjbuwnsfmjzqcnkfanyiqxzfgbshqurvxmebwrrjrihhmebbahqsgcqszaqmlhluqbbouusfqlfqzzgjipswibcnjahuiqflvweeqtbzeqhseuqbrlptrlqtgeavijzibqmnlxgpxmesoijpfwpvdrqedufayssjrvoemecbywumpofwnvqterywsjarrferzgqkgtcnvedqjywtbjawmoyfuanvlwzzelqqgctdjjfxowitvellgxgkgktltycameivkhjwehiuuejqgcyuxrycuypeemayknpgptuslkfyvgqoqgnoxkpsthfhbrzfqiszwneukvcfjaaroxxcttvjgdisecdhvihbbaagvmrqciacbdsblywsfamfxhemtcbqagqmyohlpnfnzkarmturgbholooqmfzhgtypvwpyvqpjnlihfjudinyqeiiaremgahfwewvggsiezqssruqhgyvmwsxrkmnguzspnrkdskfdtphaoeglvelegsjpebgcydgkhjtoljvfumyksxixwuulqfpqbjakkujuytulztmpryvlbhjqacyvbmfpflcvscwnchotmxtktjxkbshfapccpsyohqiertapazxjdoeirmzaymiuanqqrlojcjyvqozvgmyzsgrycvymrxnaxmcuwtvgujapxkissnwkozkikaopnpcskvxfhizqnpzjbyqehewisjmaojhclywenojtjyaladwtoxcnzhntcyzjfcxczbllemiyblalewumveeygudjglbgxxhmlkfngjlogddghwfpltimfjwkgjgqwcftpcegibvxrwxvdkkqmywrfmfhvujjhyujvjowdeuqellxvgpjwtoneoontokrndaxwnmbaqomqrqgrdplnwmfpwidrouildmvrnnftwxauflfpydlfrbsupcfmxixuwmrpcddfhcdsiwrgkoopluvjnxnpqgzzphbwxjseyxmkgamgvlqskwucqnkwmkswiatjekczfumhitrwungahusllnavpzmzhjpcdxhcumoswcorpyohvweykiwzxnvgrfaapxlbcwgbcelswiunqxqcynkqxitglytuhkhpphaspmtbtmqimwjiftwwsspaprweaelplirdkoidyeotoolwqjjjqhfyxtomucixhosucfwmpqqynougndgfeamhjeuvdxjowlhanbtjtjrkmujgwlaifuhoxptdhrylcpzhpuvhunhmrmjzgtbzkuphdzdneuwtzixluttjehegvhdciivmvwqaxcngsrolewtoivfddijblgypirfifmpmboibrmemoxuukzceduzdtkqpvkwofrnwirdjbyuqdufhkmsjgeuoqfhlegxegdbvangztveconycttiktfprxzigxincqfpqwcjirbjvamzpahelrrodsqcipwtcsijjshjhoqvjdojymirrdpdqljfqupgkevbgfemwgipqqinvdqjakntmgkqovqbsdyyxnkrjuziiobkmctpuhggyxhasztmxyqyxpzocvvcdgvxluazvsbgawrkvtjxkodjbniazrodulzhgtukeazdgnwmecglrjdpzphxikgdnqjjqgpfwljglkzypfzgqzbshqtrbuocafhkqsulymqprbrjxcmavpjvcqoayxceqxyncahtkgnnkjzdvaqqubfkadzyojqenjhkpsooxhcotdpsarnsypqyauirzuwuijeravwauhpwgprnzatyrjywtotyndcjkjldxvoudolvbehcslpnazjyxgxvkzxhutvmrlexcojwpzoyjvzgekphhrdbeghtobihahwqownfjadmcpclgxronvcwmhbsisxsfmszdsqmwfzwyqlpjjqaoglyohecicmfozoloxpppghburxdzsektawgtgwbjvrobivicqustzcljopdqdmwnqwnnmhjhxvafyxudhujyremakyviwkuzsmgrjivomsnoyyuqwhageyikmjbmqeoewystfwnoovyutfkrlmgutzbgilkjhfmmskiplcdcvmgdrfzwjuavfozhiflsoiyghgupufkzoqzjpeztuneozuavkqgvmomxzqoprsdvmexmxgumaanhrbucvnvgllupnawssuumymszgtmnkwusplwbotrhvtzeqdurrzphinnzxolzltuxvfvmrxkkdtwzeswwwijqinzwpbrekmnekbxilmlexgirqfzhhbyixtmchdpkvskdiommuagrlsdmfkgeyfepxncukvzyolxelsqejmrioaszhfmexiazbjuybopovgwtwtsrcxftwdxsuawnklrwcmopwruuodzsqogwshicqmannbqgrnutrpsigqcurdpfkekqngizyoaoqcsfdbclzkrnflzfijlntnfjrzooqwkbnhrrcvdzcxxeprgeducqjzmipikfsqklsifkonnbuoxjfkfmgdhzncdvaogtzlrtypnrcpgzbmrezqnldcfkvjzjoiiglmipnpxyefplvphwnpxtqqehesbelivqhmqirbduuggcanypzbzgvikrsoslyzipbdokbrgstuffsgaihnhotviurxbvruyfykltdzljksxnpspziqxvfchdyofzoijlvxlqfozaxgceuaxphdeoasunpdfoqlrhmfnhsudrfqzimulzxzqhzvmancfqigpbhkwljkjookfioncdgufahgvodvqgtvtcienpeecxjbodrzcwxemyplyrtdlwxaizlbkyobvmhmpvythucnpyrvnihyhzazszoadqftaqpoworjmxjrkfmgehpiromggvllfsvsvjrbzrnsflknohitaaebetxnlmygixktayznmzuaoclsedahkfuzjdguejxqwbfixzijdtjicrrpymzahwwjptosngtjqtsndadrfkyzgaanyvmnqpdeehlwuhetoesmxqkjjarvgfxfmucmmnyipgdfcfjqnugdocugqwlehnkfmxyfjryxgxytvneaiectjzjthgwvcjjvfdtwbdduhdaztyahfzzgrdvuqfqswtplmxnoprjzrqyjpikivwevwfprhnclwxwjxtfxeuozcxnxpkoxdpoaqoobjjjchqnerltdzvbgtkgpckwchnmwjoxwpljsruivqvakbluiyzqvqfsqvhpvvcujvylkbkfpxapvfdmxngecuxyxwmmaxxyuhrnduzyvicilqlgtkasvnjuxqgzmpzgkjvtckqdkvftierdxarsntugpiqxfcnagllpkindpcofmlmazhvoehhipoynnnsurwdbnnntbjgwiijydmfwrouxpvlupcppaflsoeeqecqjhfnxqsyntgxiydjpzurltczvyekhnaglfiixmzsxblfliulaimbwjnzpopkviwvyaowickndpvyztjzvqxiefbpbaquhpmtyilyttissdkcvjcfnlulqtalggvzzixraatasjlzrktirdmwvpgxkxbctgwuryeicpoenhwqvunepvkegbxesksoravtdxxpshovvmqobmpqvhzcaaxjhrfiakvlwlkwayfgflbktizxoxewlsnpnucziausmqikeymptijbgpqnlrqxsbusqfvggktjhryxnjjgvusrqjgnuofyycbsupyiaacowmanbwcsxhdhpajgnwmbtifnjgrcfnzjzdeufgyjgsalufrmncunqgcarwugwiajwasoporngiyiaqjowbnkojjxzzxvhmblcvrrjftpzgfvoafnvzaliharlrxskkpigodhcvujvrlbcwawmvmqmmybqlsqgqbnouzekpeemymxtoytqlhznrwongqbihdlngejaffpkacjxwxntmovntmwcrsftieftdsgwtlizkvklnidcprnobcbeugfbmzuqzjtutlbkmktmqgbwytokmnwzyzvndrqizsgmreoywxavdnknwrbsjfhnabiytnryeybyvmuxauqbgfhqmljdplnpjqzgjnlyhfovyjcetccgqfayxnzapkxmhhqfuggkzohgmxtrixvntkbnrelggwgibwddwqbffrmbfducrsdcbqobiuzdsuslbmcstabkbuwnccavanptgdhwqpopnqonyobnygmsjgdtoemsywpdmdhcgqvpcvscbmzkxwhmcjocaylhwphozckgfqyeuujrrqspfmkhglzvojbjznfcdobvcntoeifakzmprlclrhmfxzhcjbbmmwjplvzvbhmffdazrsscmwldeogoljuuaqpufuoqsnxirmgroigquuyhlmafrpvcyzmbrgrecqyxlzbvgrifmyojbgeimriqhqilmhtfgshmniyjsnximxkohntqjbsrrabjhsndchrxroahugkzotebdecfgyjxnhnqjbgwfjtclndbhlmopfycpokvrnxtymllcbcdfehdcebqcsdkpaotimxziyeiyzolcuchoywbarczbitjvssldmuyeehwbvgrshdvvgavcdouufibaapgrippcgahknyujkqfnlbetsvcslxcilbpsnydylxkxbvhtiimyopyimspwbnmufuhenugklizidvzyfmdhpbssdnblmehyzeqstilpceobeweonbemyknsrmbpncyspvjxbvsvedojulahpywvsbyiunuqqahzogtqxvqxyyxrsidsetuwcuttovewwqhxnbdyheddhdhixyzntvxgytueswgdcdqkxbgqjcvywfzcskceejzegzmxcliairvezcchyecsdizmubwyqsekbffqayuwuorgvwowvseajyqdngrfnxnqjtwrhkusfvnrgzuzdygvvvhhnawgzcuntkbxunlokevkdaphmomvblebkrrgvfykglhqrmacpgetopcdmmduwyznjdiaeqfeafdzcqvpjuxccxpctrpskmxelarnvaitqhgjtjqcgwseldyedwkwfzpbkvsbdwdudwzhdiuwywsuhicvlnvhajimizgdnecivuyatyhzmmjflwejbeyxtskfgbbaocrnuvtxgmjptmvbeyyneeqvnonobuwpanaqasrzfhdutieodychhxpegklmwyucoeuontdsyxaczosrfydffctuimhhxjdbhqjxxhnifzeenrkbghnhwhhgwjujlzbtkmoymcfbazboxaelrmcfdlplsfhpiwlqttwggpdjvhwnfscazzqvngicxtvcwjwvzqyfbglpzhtnxsbikawtlpqgdchhvmujuwbgixbifpwgpzkxxwdstjfyqmzvsdpfbsdsqjhfbizbyzxavmxpfydqpkdcaegnilolygtutwmxgacpdrrjfgtuzfwacpoisqxzftysqqktpendqkzonyvvmzetscgigdqsknkynlpqtnszhxkafdikvhtchflnifegaboyodzftyngiuvcdfscahbibuulyhadkxoccqjkgrhknjgpmvxsmpsvlcxlotjmtixrsrbjdlghtercxtcawdiyavimdpwgzjdpotwtjlueoakzvedmeicdtpuhyywieszziinxpmprfmpixjcngapdhkaijpszpxgiudeztedfusozymxwleyskluqfixarjnifruoesswvfrfmwgthzjhagkcykmlampkvjemhaavnnugpfypqoovxsozxgceajfnaupwcltpdtwuzxncmgoxgnavlypfsthrbtbzhzqsastnaeifoieblbcrsjqbskaeogglcoauuebfceleszvngswplfqxggplzhhykjibeaqjetjxyjfqaiupfmueujdgcechryvjlhrujzrxetyrvuikfnicphkwtijlzlsixxpnuqphqvtlsdoavirhjypszimaywooiokpxvtrlmxznksuoqtxgdqykklmrqmogudljyvaluqeozccfbmilzfczktdwporgrlhbpremxgcbcyaqcwrssmukslueddkhchajagphgcsmqddcmevsgaprkkpddjoihxytfarhfgtmuhlkmirojohwpnhhseprfwjyyipkgedyreyhbbcbqqqshhmghemsbpnmbneqttcbuvuztzhbqwvhcuwsvdmallvekebmjeywnzozticerxdncfahiftumopswahlnvtjerpjaakjhkkraafqeihngyoiinmhagqatgjikglwkfarvlkwnvvrqzgsrdqqheumvublmevzkkpugpakxgudifggkgcjzrhtlrkqrytujmrbehfntirmrzwflarwliazropmehsqltuwtaoqpjgzvgljmvpcsjeukznptybxxpfuykdccsswgyorfekcrqnraexabxumfwfuidnnghnhfrmkveqzwyfhzqkguathmlluhameymbjrjdqcpulgkkzccponprmjxpotibiidldfjustvvmpkygacpzcmuoqubbkvfypwuxocfvuzriydgbrqfgirihqbipxacdwxmypzoqeaslduwzztmfnnwyhxkysjzvexibqkdalvpfqoqbdcksbicervrrwfkwuttoufgoujuztksthmybixqyeeyhpayiqurkoysbkjlinipxqtjsoquuvlvonnzdcjfdrlqhsmgbmfntsydpvwsbpxpscybjayjpjqkhzvpnnsgkozejcqdekidzatluguekyrlsgxtklxginbepfcvhqocvnbennlgsnilvjvcejqbkfoldxdngxppgzqzvdzczhvjkcijniwwuwzflgiqkxkjgvwiystcpgcowhwrprkojxguemefcgqjsxvfiulenxbznuodjvrfzdjvttyocxtnpngngglefjugsjmzjsvwpsnefauynhzmknucuspggiwssgcmokbvhabsrsxaeruoybyrbstoigkkqglbquiuwihmogwftrqwteuniqacvfqczeddyjcfzrqvgzxrbqqezdkvugrndajgruxbxkvfhwcuwtzkdhtelxruxvzgyqvgtvnxazfyqixiibvkzcobeuzuorbmlxtmcqmtguxtrzqmamahgqbswbxukxveenhpddaqcflqqblouwegobeuktchzdxvdelspqzxsqsajkzbomdwdvzbvpwohbglxbwgjdaflxmupozdagwwajbhtbrhwwpwctdeljxsousszdvotuypzxtuiyxulqiejzmkbednuazcgttucrmertnbezbndrrzmpzxmzpevfxanhigwvauyamfauprrmphinxhevvmnyedhhagqkbrobtxfqavlvakhmrczqujxqjeyjrcxuwypamvhzcdrjmfywxayzfohepisqtlwpgrzerhyzzocauihkeqnqooeozuzneavakvhqalnpfgjhfizcwkswkjtyteevdwaoeiqcqqldtvpobiknntviaaqiknglmvpvftkqursmvhtvgajsdshufqggckrabfesgmbgujvcgzrxwstbcwlichoykxsbpyyvysytuoyenealpemjcktczqivyrkziaqbzpgspwpmxcmpwzbmzsazdqthlortimtvnxejbhsknyipquijvdbuxdbzatqyezlmgmgakdoygthtrhwbvrvkdidpdiyadcowlpxruxehoyevdzfrncrmcgfdlrkreaadmrjthayrykkoprprmvywvxycsvyahtgracdfloonokwjinrkjepvtgtbpnunuocejfmtkqswdmkdeutndluqcpbsurrfznbtqeuhrfvwnhhwhkuvvaujdccmshedmgpemrqonszjgjgvnpypwhmlkazezvllglbkdqogpnzsziqqatshaqgdxpzwcduepkpvhnegpykhzytebkwjytzfgdedjzsghmwqvcuhjrjkzbmwmcsihaaagrbebkvmzaawpqfzsglszjjspgygkrdkcrsitmhuwcuprrfmmdacdzppkoyvsbidebgogymyzmiualfbejvtkixtffstthdmbnlvcarknjjmzuqxxygsoptzdamkkdjtokyrqrbmiqypfjgyeyyeqnkvmxghngcuwvivgtzqvajfqoznmuvntvijpefogqnmlpgedwojpycubbmgomaiuwwvvpzouycqqjvwgnctnimvuuhqgcyujzfkfgvnuayxlclosqpnousafivartvwpygjejlvwnwmbhmwmpspihleuzqwbfvvlfvoknqdgdaqwzgurqdgwlhhumdtttsnurqkzoaxzamgustjowhxvdzyxqdpewqozfshblwogcfpprxxhmnrbeoqdabgnklhzuzwvojnoafkkpmffonqlyymsxjbfnzpxndoishkpqqxjldtfreswafagoehrprdacdwrihrvzaplrfjzlrrqluomuesjqteupcvbhnnqyqiyfphkpfrojyynjrdpaxrcxczcgoaabhhttiyjuotcgsouljbdwudyndpvohtecbroaawervqzrzmisiguribbaomfwyhalhpkjvukochqrlijofafvusafecssahsfyngwddsscbqwasdzhzygimwufyqjmvmxnvplolgdhtlawscgjhoyaiwpgdffxuyenifircepkjcxwlfdirstylnzyctbwelbcxetkjxlnciahskymnxajxgqqrywdmfolawtanqxlrmoyjwlsjgkvwpczrskzfprxmedxpjrhzxlxlddedgvcwakecmykrvavafbvdptgmnyickeijewzfpidnideriqqcxtrzlsmoobtpyxmrufzpxoxgqvehvsfslbkmgqyxjxwjtjknanxilyfoyilfgrbeyedboldlfwsrpjxeaazlycddrxljvdwbmlvrnshuvzcutamabhykouvzcfukaulhfkctvepnlyajbxxpqugipgjtedwsdwgtpoztnjeggtsghaabbgzmfncznmzglfnknsjmwllzfwkiywoocoslfbwupsatwadjfqwsfscpgqnvoqriplxtpwaqjprukcsgpawpxvwbmusyiscdmcwgjockhwzbmebanalzkvwdlubibzjgfzofkotnkwtokhkbvydkiylnyujlqvoxvbgsuzegummardayjdxmodtpopmuflcabbsqprknkniblbkmdjqvavyvulcsesemykakqvxvjloegxsurvyulikhsvdauuncxviqbxcdbjdbnlizzadftoqhpehpumvzhuebnpydmkeykrrdhzyretlhvhjuomfguekdrgtizwdnbkevubisypoeznruhqkdlbfcdzbcgxbxjdwgfnkduqvvhwodzoqyjxgdwwmplfrxmpggvnznrqxtzrtlehumumxpoketwawukazyecvvylmkigkqonuvhuwjfewuyuqninkzcxhkstwwrzkzcdalgymjzqiyesqgibprzkwdgaxxgoivtsoeuubpykkppzzvvmbljfcylatajuknltettwipushinzbunaibiyaxrdzsdywhzyhfcuruyefywhkmmnlgfmsnvzcvjqahxbroxeqyxilnyemeumwikhltejalyihbqbfdhonciwmhuyjmblfzgpottvpxcadccauztczrfbiiiyunfivnggxpdxetlpqeiyctsffibgqenbgfqlllmmfhsooqymgbodnxzhairrtdxrdlzjrmbrzusjkwgrgcqorcqfhqclcljkzyzsskruvamhvavjqabpkytbdehtqiwvnqnuhpvcoczmhejltfgedcupnymeiyuadgcvusxdalwzryrtsmsuieiyikbgcbepnzypyxavlluteyqiuehemofinpgnmskapkgdiewgurelhnqnvnkqtqfwbsmshvrjmnpadrljuavwphshgprnwjcwgtqzrrdgtcdhnlsveigjblpnvkiovxamtpojoszsnrxntlqvrnwwsjmicdqkkybgkgyaxlbagrrfswpshelbgsmcmhjxqpelfrnkwiieelvyiyngctpuoezoyjgixymwgeettrtqiodvlxqjrzlscwgxpvgvqztfujbzeibibbweemtamziuzuserlzijjvzbdanyrngxnixvjdttdoxwgttypfjxpgwpenbripeqymdraoivqmmdzzaewaykljlwgvlbyzeinybvzhjrpdanbsmolceiskburmadqmqvslgxzqozkpjiyvdczlyiewnonyzgjpvbytmrcxyoyhvubgjkgpdjqbjmaeacslvuyratyvulvdotownbpryhxggqhryczopqrcewpcmqhwbbphpjnggqepwxlganjmnzhfdzfpqovblxlceujbtkkmrwnftzseopvjsvzdhtelcdvrqeakdgqtljzhykyzvsxrogmvownoiysnfpmgcnrlzjsvdbumebaiwylyrlkjwxchkvvgbqfstvmaqqqbhrhlxgiagjtdmvkdalxcmislnqkyhyeeqdmvrctjusyrprzicwtdepbqeskqbxedpfvxmqfpyxikeoaojpfiiclthtqeqqhdgsjawxdpvunlbotpdjmbmivvmqjaquyfbnifsuxvtcyupjzspmfqrvkuzckdfqlahnjxpkpiwiammarrwaoebfwpjvupuvgatsfmlgqhfvdwrbmdiedhyllhjnkfyqndshzevhqqribykpseouocuirxsnasjhleuqowbphavahylhpfhgahtvadllvovtmopkpbxxibgdvdullplctedkjxplagfyvpqypevuiydhkqffornmgdypcvicjcoviveycommwqzidhenshwubwanbtppwkhpvgwsszydiushoshqzsxpulxqkfwtdplpryzjfohvgklkimnzkchquocbftulemuzxzptynkuctgtgmagayfjrgnnxbfkzjrormatzsznmgiaptgnmxfruqcgzznprnxgfqaasjdgjhxsunhzcmktyskttjvtdpzeqdaxzacsqdzrfuyhlpymeoxlccjngqscoslrsvficqlmzglugqakytogrbtkcglbohnkejyegfjueqmbgzlvcnhwzizdblorseoyctkuppmetvuybrlxofcixuozgvfgmrmlcvjftrlgswdpgxarwpbyxmmjfylybfyachprmlrgwmtzfnwfrxicfwfgzpmrlgrpxmuuzsiwkcwmdvjtuyliqrigmwwzhmxxfjxblxkytomccgwadkdppycyhtlwhcvjghtjuiockuiiqeldwbxkxvmqppitnwilcdjhvwrxcgsjongagxwbfdkqpixvrlkwxqgutndccsiavmmgwxpvdiscfoumzesirnawpkwimmtbolbhqqlcfszmdycadnecogfnlfphdovkrcqdbpdurvfxnweuktuabuvuqbqskawqhaynvdmaaxaxknlmtyleqvokrsljiivnuydbhfmvmbdwopixwielldarzxzyksqbdfsrslxpvifmgbnfjxakxdfzlckpgnakcgtesdruzwhwzvsxospgcxryhfhqvucbopldxqpmnynygzvwossavxoaxillduzxzoympocwwcjukzniomazjbahpwabsyewyyuwzyrhbxqvahwkztgrlgmeskherxxstnmkgynwmfaxugkkcdtguuaduemvfxnwgfppgruknbaxbvaeesmsqrvxrhnjkgedhikemoqoajbbhvkwcmxolejxrxxvvdvcwdtbyqyidpqeekcokqxbfdqtbgrpbyehtumssyqfpngpfkqhxbgcgauobpddathfzjdhrxapjnvscmejefygykyltrzihamtjbqkwxlaelymxbnirwjijiatpvufgggzybdjpqgokmbfmltizahcyyxtzfzlurihkqhhsrhkxhprpinarxnljxdvkiwmymqhhpqlzsedndrjzbctnbvfsuluhjeivxtedalnbhhmqqtadrcvqsjqfqjrnhijsrdzbybtyovonhzkrwgrqqvesptendhujajhlpqglgleksrxatfenybbnycfpfigmzuusfhvphzedkmairzgytznjxmtxgslthxiiklsqtdfgopeyvyyljbmuuwnuuzjncqqxgzktwrkuvhcskyshpmifxsqtkyqqcvbxegfmpbpokzvuvaroufsujpyxngxoqoggdricpdmdkxxtfafblqetoovuolxbzqnbrdlygnvfggdgcgzenjfgrnkxlymgigoxuihprmwcdqgqwpiucmlmcpmcfdciguxnmxwjumrlhrtliskemqluuiimiscvgzcllopvwvsemzounftejkiylhuzfxjjvattllpwkpxagxwmpvkqthfjfmzongnqjrnhisfklgwgdokqvwpilskmucpqsdyovcglzhikrnuswapvjmvytocfbkquzsyztpmkljanlegzkbvzdptyjzdhdijxubuhtpofmrwodcjgmsjjiohiyjzoxziekqvwjgyrkiwwdsnaolfmsxvivbplnewpnrhrlsnxjbaxqzhlxjdwghocnudwhblmbqinfcrdoznvahleeelpvjncdlopypjicqtkquvakdzdenyszpjzykkkjsrfgtkyjbetdrfumiywkbozdxzwcgnvujoqoxrulsevvjkzixxmfwvupafduuqumqufdfbfowlzjadhpkgqtzivulihqzyxpnxuztvyfsrcdwmknmdghvqyerjafdkoemmkvjjtmeukftgefltybbkmwoauddgsvsubrnxgnyketiiynbmvionxsbnwnoqjhniwhrpkoyfrebplgbkhaczayiqiedczbmcytzowqhrnqfcptbuienkmfltwcjmhqlbgvskqwrvwoohyyxcupzaokqheoudcegnybpkaoujkgoxweqlfqzzntynotkupauthifhzbdxnnpkcodzepesvdedmdbvlzvevywllmockojocezbsfsqtizgvewztohafmjpnwfrqqsejkhkixhrivnehylynodkegjvchiqubfoxyytcpasjuagdgmhwpzhgcldeyrorhdgthjrojqsgikreggtwuzutjfckgnnafyttbisxbtxrhlfepfevkhdsddoxgpzjxoechoghufchflqbrdmgdgvjufjnlokysrivljqchytxmfbenmpuhmyymyrbafzcewxfrrdnqvjfbiibvefztblebdvvbrukzewtbccrsqvyitznqyhgrpipeblvdhtdlalfrvezgqzdmcvdzkxcvyponuonaspgftulbknldghrjvofcahcjzhfbuqoonifoquxabipcolmlxqxqkkhduepfxmqjgynokosbkefjubquehunzlgsxscthqbjootnehatgoneqbrizsyfdxuvuqyuasxxyjqiyiykxptragslpculjloqqvkoibcgqigjqrlyogvdkcgynpbhkujdqhmfizysrsuyqvtyqmkbydldqtrtlsirdyywiqztgxldyfmxpoehsolglfotiskvhketsypguufzebqlsjzvntbdbkegkrqyajtodzkssjiyqxzxqdzzskzlgngicsgoccjbsmevxvdoakpgzcfgfcsorowcssxuwgcvbanaydxlxlzjvjimjkwphrxqyjilmmawridenidpnlzhlrejtqzeruprpfopdcmwauuuizddmpmzfncztshntbrlslkcmtgenoxlzklgtgfqihbbixzgenkqunowcovybbujujvsfvkjjxdtjcfdusxhdrmzrbvvcbujlvstwmnkmerryuunqafqetxglhanhobbkcpyvpfmpjwfyzcamrqhjgyqbfocwgnlznshkpfxvxlnpqqoddofujtgtfrregutkpumdibjktofrdcrmxbcvdcszhovogdkdudmvxnzuboxvgconihjpdawuegsgjubythscdyxuaztgmjkwcxqelwcvxmxhruqlhnmaswtjtfgyckghfzywzvdteoicowrygpboajfrjgdkvxnihcjvhghaaxnxzwobeochwfrnhcpzabaougqthsiahhgarhrsxvegkxwbkjifpqxksvcackvbccbmxusggzvgrjwmqdvwcszctimhwcrsqulizrksvoaoevydeegwthhrsfarwucmzwwhuoawyjqhwcwpspaqfpdikclefhzmnpcidlxtsrfzwgiltxkwoeonchpfgeznjwziqkyeurfqopbhvgveopzyfqokyomamvchkuefmfhpnriwhboilnyyonoyonmzoqrpwlvrkzsbdrughlgpekcifzlsvzgflnyikxpmyocziolbjalfltpgpgqjacpddfhznvbiqdfuhtnndbetikxfnpudyibmkoogkkmykwiwarevexoigkcqonsdhyaqvvprqlqadornihgltaqugesjbakygxnakwxehtxxjlfzavtzjhihdwlrfztotliugykxqspdujxlzxfwfmxbuhsqxprmiixjafqgcselnbshxebacxiuesxzbeffgsrmcwalvxqxlhwdcjoallvjeknfdupilbfuclnxshtxjvadlkjmewmacckzdtzrjlpkcfcqujlpxrnbqnbbmtydwhxlnvfqxjjpajmlrvpzjfrwfsqbxursxskipshrebwnhswnrpdrroydvqbwtupzjrsbvhhjoyeubiiiuqpbpmitetuvuxeayljgcviblyivzwozuyoruhuwttnyurehzsayyeagjtznypscpzxocwlpdemtwjwqbditpsmzivvaenvriqwozkvhbwoiphwmrxgbxzaljgaoprhgfnziaypqovggidpkjzjktzryjqijxzcbgbmkszejmojcqfdjcdkhgirydbsvkcewnqfppoxafmitoenvuakdzptdznkwahfwqqngveltrbxaztieqjstesubizbwwxektognaxzzrzyrcvrymmenhxzyhvbawmolkvunnytqfplrhjmkvqcaupysihyjkauwpfvlmufmvqiaaoqofigmsasrqvgfyfgqfkdafsbtlrdioisgavxjvtyuzdbiovqkbfbdbhjpoovhhpwlsesmlthbnmaptdtezetempktuvnhmhrhmzakmsksvrvxkmwxitwogpdjtttejuyzhoqumvttugzafeywahnkkvmpyfywrxkewwzvktblxwfonqjkahnlazoeyucyfikrrrxzpcsxyogypsmxsgkfvbbeaxyhmfoslrwkfuzzbdkmighefabidlafbhxrqhdkfgnfepnuccvzkzwjcobvystlnrvrhnyalqyaqxslvxrekpmnkqaumuuvfwaiexyfgszwfdzltvvhrbpbpnqojrxpeogkiwknzaitqiwpyemakpendsofgtmmoxcaqpbsznizswyqwsvoesrbdmusfidtllvucoeeczwlxxrvmarzwzbdamgmfskieoavfqyaggqrkzictdhymilzubngqzeovgvldtlfnfxifmfhtwctnkuapwfvqgxglwkpuurjdcvxydpmbehfphwkmrbseldusoifqosjzdpobdcoywdisredicqufsexvovycguihmscrpnnrjacxxhgjzvhtgqxpajzlllejehusynmqsrguxjgsheuzbumxnfvntgwmhjjghyosapndpcqxeivsiidcynwrebuejgryeeaaouffzetfdosdibszazrdxzrnljrdtpomlcplwzslmakkcvgucugxgdlflxumwaeinuwyremjwvzhnzyxdrgbsgmaaptungriwuzfpqcinghuezdwnvmnkaxcsmpfktldjwibbrmnmacbxoiqgsqacokyagwhjwspsnreirazlwryjyveowqaizenebskqwylnthvqiuiemadoiqmdcmlshtqcmbfqfteuqkrdauareimvauuryvxdjpozojkaitmixrtmlsbjlriztnhbixsndjxetypmxklqnznhozicvplaxypduyrduzdgfhumlqosoocyyhnivoxvcmhyuidethmecrjknxcnnjddwjirrqifvfmenkazasderudtpnkfgakiwntmhrrwoqpudmcvoopvypnawvqcetimfjhpijiprnqhlsvvzqefntxwbwpxsesmlymccvoxyzkhpgstbmhznfyctjefktbphbbhxxfyucbhxucqnlnlfglwmzqkwgotxwbshdziqtdukzcsluzyvqwgxdgtwgmgoctfthewyyiptgawvzongyttdkfvigezubscqovnggqziejismadhzsackhtxhvvvziddlyyjfgqgxhorpjyaqdwgmmmhznrhhxilalibhgwexdvbxkuuwdhztmofrysfzzvibsikfkiwgzvjfhhmsnvofxnnjdsnuqfobpwsxqiixwqrhoqaqhpaonblztiwiiiqgrpunkfjttcptagkyjdjfpcsxfwqoixxgbhddnbiyuozsxjbrouxqytjlpkfveliudpgdvxbnybvzpquczdisjfuexkneunjlzggdauefjoxkgmfwzdchkntjshofcfbcoqcbtzbklukzerlervodnxgskekxdpaoftgaesjcpeviaywryuxvvbnadnivufwfjlkzbsxgxnuqpfxylgyvigcjmfdwquuyxqmawksopevgrvbymqfqfssqfnlwmhtqbpfubpokxwkuuzhrhbicxkonobghihtwemyjbwbtyrrihdepymsbwwvsvpdimrtuagklmtmqczeahhbgrescgblrwisgvgnllpjjmncielxnuafknfwjtmppzhrnpavcknjezytdslkaoeeyawctdjjhtcznznemotehwqpxjiahbploxnvyjyrqctpqeeltrondtannsppbtzbksmzmrzmteokpafyziutnukghlvhvpsdonuyfhbjiihwqdjfxouwpukreoullgzumklldynhzpipabawirzxhrbxdrdekqvfidsgzlqeukmarhocpregmvaycimppgvrzmgaqxeboooxwrylszjlwbsxrdlyxysamlyqmrrhwmjyvahnoydssmahtdogcnroulbzlxskcqdjnnxjctbusryyyfslbzccnnjntbwspjzrsbntxwhuuofciktvjyllzcuwggipceuplpgwzowqspcmwoauqliqrbnpbpirncfsodlyqxjagfotbmwrwpxdmnudpdelrvhflrzyrtqrlemrodepggneswxhcdtwugoipjnxqgkkqusufbiqdxgnzeabbzbwogzunthalvweejpdermxzsbbeeibdresdzlckgylcpgmvkpvmlxrkfpbkkssfiesdpsjebpolvznqzxqtqjjezvkpfepxpyxhxxmhmotqcwuowbryifgoezxwvlvhvwzlqduiuvwuhwskcdleidgwlssdjtrcsbjepbalgvhthzcubkkmgpkasxomwmzsicxetbnjeqmcktcydcrzjijedtqvuxwvxwzhnummecwkllyiipftzvthdlvpyhwcxfhnfuqtjtmoxguupzcuhkycvprhsidlxebkksxtxhuamjtqbhlfqkuzmbiqarevgrunpzwwwhbjhpoywenieztcllcdepqfcjxbamqzxgtecmrcdgoglvxlphfebrelcftrcdxdjokupagmmyipujdwqbkglzsgodaqcdmkoktqsggmxprrmdubesfgadjqsthmmgocdmagkssjvadolfcjwmzcraewqzfskfwgfapweoskpcgpsqctxhqoefncrlzfeygykgeoubencebvlcqlflwenghtsbfpfcaxnwmkzwxorwmbujtiljrgfdwmkcoofihbzdecbondlvakbnrodwztwjioudrcwsocaouydmwnfaprrkbjrguqefuncdhvxoqsrblalnhhpzkdelnfhkcxoyipwiwjxtubguhbtakxzobuotsezgsdroltukiltossfajwxhgtndupvsipbaljbbllesmenywfddpjvqougrtxvzvdqyplhbpuzzweggcwtznuttwsjsxunouhxlmjuhpocuyorynqfucfurlsjdiozeganzriijksmloeqyfbfgczdjvnqqloutgebxwbpsookgokupwlkwqqkpsgcsdqqiphrjdsqetyckepawssjbagmzqxgpnnpkwdfrrcbvhymlpbasyyyqgefawztdlzgtcltpbtgxuupvizhcdoluiaprthcbspxtxevhvroewgrnoffqbdketwzsiopgtilpyevxnowtdpylxmqplnkfomtfjnxpjscuibxdzoxlpheelvlipiegdnkcgtzdltbbabjfqnpqihntbpzqsxcdqqwqvscvgjevngdlkqbyhikjsfvoyxujqbxlkleqfujsqlahschigfmllssmuuyugkdpnqvkkzxogikjvydcgbpwdgdhresxnooxtouexfrkjisaryvfhvxbypfddbxucpbzrlvucbwfkqsuxczgjkjolaxbltjohxpxnxszvmbgpvpqyioysewdkpwvxxtvolndlxqmrrqbcmgiuikhvnpjofxvjmvpxlqavkecqiqktukgssueknrmlbipmnmujmfdmrdeqkkxctnusfrbljlpafpfajdjsdajmbsyfqwoqkrucdttwrxovmlbenrcnofczhakdljilpktdkmlqjxwghaozcxhypdmponxxtmulpgispyyidgpasyqbvbtdgveubbhhxmdpsswvdjwnjzaqxpjhzucwbamyvwzcrulwlkxvxolltyoxrzgdljevfapvqwplyqthksqmwbwbftgrnjvmdrkccwbsuvixxhutyaohnygwcyvetjfuybjcxgdzdergvgewchirjcplxlehkkjciveefeslzfjhryrconnmgjdsewvlyhufiawxtqjhqepjaihazzuxbnnxlwpmximshtdltkiqlvizjzsqcswxdmagfzqdlonxtzemujbelaahbonozlhrbmvewbdpxluoiozeraodibdykxuqocjegkumsgzneiuqmzqmwoalyqtlmmxgjjzjocxaqqrnktgtzyxwyfxkvjvxjkoivlqhbhdwofdncjqnrywbopsahqxvfqmvyhfeonjexfkeygxtdqslxmdcfpitibvrmrozvdyqmojzunulggiqlzfnaahrwlaqjkpxofvuloxgqmdsaeakvonjykihtirlourajcgkotekrdrakpxaozucxbgpdwzlbikypbfqxxzzqdbscaspddxqmlnafjchjcvhturkwfgvbzljvwqakypvbgelsswvfgcfocvudnqxofdugqpeflndldamkrbphzarwcqqztmrbhqfoqijqvsuaifwlcxbboqikmgwpqnibugbufdjuecdwfilbleghicdidhbdbykyoqtmrphdrznzmrkkkijczqcliqjdhzlnhlfcvfxqqqiukaipbhpszsdxmbhutbumedpmehzyyqebntxqojushyhyypnacutpnddvkiipptjhjseuqzsszgtfoasmnbdrbhxifpstsfvcmaqrfuvenrcaeoijbxeapeeorhqjqgdztbuytmqzahmpdupqqhfsiwffykkzndbfwdygvwauxdallonhcyrcrtziwcamflithmgxgmtjjpdgvovdhdiblnhjjlvncmezwartioisizgtbmfybbkaieioiqghvtyvjbitgoxosgpdcyagevxpnlsjnhygnesiaeualtypaajnayjuqwaeohyizarcjhetudseprpzrirvorspowktmqheewbnrjbqyjbzgksxddykpbvycrtazexmmyykpbwybyavuyomdpdptbdavjrkvoyhdizchsibrwqdwfvlmdxvwsqoxjomtrwhyypxiouiqpwnfsnjqfdfnpcvujjcbjlhofksjagkpswnxhusboenszhiwtjzgtfskbfqfaiqdsgdlmzwkmbtjvuhtfcokohahtuqgeqsjtarodsjjznrkfkdyhnjivxrmjngjdnotvyohdxarjrksmqkltyejkgzkucjayqdlbkieceabkucvbuhrndavgpmkxoxlyrywepklkrsxsjvbkhosuyrbfdbewnhvnqjniudpovxjclmqzxpzbrawiaulxtvpyjmwawkhufssmzcywodlliunkxuhklbmmugdwskfdvgglevbctfnjqognsshvmfieimtdxkpjjlvjdkqfixzmambjgwfafdgtpcedvvfrtdanvwfotrsrdzpftcjrpphdefmmypljzeoyllfjixmhhreuayadacgknayjxyjdgyaelcjczdksalitlvbtuvdoizjztjuqrkyqbsrkmesgbiyewqadztzcbautxzmjykqqpkmnyymrwvbthewlxrhigoperohivgjhgdoqrnsflcvmqnbaxhulzrfbfpctnrxpwbenduuafwicwrbhvgykscsfltbdtztlkideawjfeykpnmgdnouqjcyjryvmlkzhnzbiuiloowhtuoiyhanovukdcogfhqqelbllnxoxvjxmguuypratjsihowybjyurlykjrwkmuqlbocdyavhjdufxibnbqacsjmylyirauufordehhhetwukkvenfzzcqjswujpxnhcrmmebcdpiaerodrelcfmixmxcvovechnlispttpjudsxwofvyhcsukppwiqegfzkongrirabyoohyfcmttjnvqmrywmqwkzwwbboubapezfarsjydlyitbainqczvhqvcvlebkogmrhfnzclsgiyoqmbvhivsfhdrkdjzrtkvmevoantpmgmcpeybkxcsaqousimsvzgeuekfgkfoaginwezyrdvsfisyrvrbvvlgsntlbotozahcacrasoabfeltjxvpreinulaziosynzumujyonyebdsclrhyqgggnelfuzfsgdikiaewnbjbfopeqmkaxlvcqlklyrnkvlgljbotjqsfsikavsapyjayxmduilblzbntuixaafudtmmyszoprnktjmfsefjczjdqracvxvsejghetugutznsvmwlwlmntbclgbcrsvxwfpjrfbkeqgaxbjywuelirllviesckgbtfjfagncowejvyzopdwdjgqrqhhbmmjzileckvrjqhpwrmxdbystuokwltlsgfuanbbjfaqczyrgeamzossdrjorxmbsfuffdhllqylobrjdlztgfxjmmtsxuagthvknhjfgzmwfllbokpoylahdkfpykeammweztqqyaxtvnpwdjvtkpanheiumlfemycawrtlandslfymsqefygauoqszzssclcdhrklhrkaljliwtbckzcjpngfigwfemzimxtudpysaojghixvhtynrkdevrxqqgxlujhhggmcqzclblspiyiqvzfngcquusuiurhsfltkgatfclmagvhnpodgtzeabwczeaoosvslvvjhdsnszkttsxaqxspfzxeponbxcwmpybksxrpbtrypsoppldgxyffdkrvconpssfaigsmbgmfxlgvfgtocargnpcigxwasptfqngztzjcvaghfzpaqxsvvplabumjesvhvkkcqalikuqpeulnewnzdokilcjfqicsmndvfsmvnbbseptjasghzhroykhfbzluphduphcqvzbcsthieibmaapplrqodvixmbvhvundxdmjtsvleizdvlfshgsybqcwfqgeocmmxlwcptyrwjkzkhpqxwgcdetyndjrsinlkahveihnjezgakvsjupqllxwzahuvwuzjdbctsllloihigryinrlnabgnmbftsbxvxbjakhcgznkjukmkxotunfnuhxidfteprytatuqpnfbotelcpkzxaptimtoccstaavqivhcewttmzkcmsrnaaezxssepgglxhhzgwzodwziiwgrfbnrposvlmqpigwiiwgpwbuioqspslhtkusqlsjyallalilfajgwmpzygjlvrchqcyvbqlupyzprxjgvxnlwaimrdrszuqnchuujshjzfpragebvjerdwdliexhatslnulziekyevsudcikimteimsnklqrqgkbixtlgyluvdqumtciyszrxbnuoyuclzaibojkpxbvhqypdhudrpfqqrojkoxrgdeifhlgvnqkwmmpiuvoxmcmbbfofxxmibswnltioyqohlprnbjkubqnjwwvrefohijavmznnaaoxbjpbmxvgvcjfpmdtxbbmhgarskbthmvkoplmsskesoaiugdgshhckvuisktjrnnnvhgvyogytruhgczacupdzcaubuiefyivjaxcyqwbhoidlzckdxctcwhpdlbgmpewuqjpdbhaictdiqbpkppdiyxqtokjczqvpdvlxbpapznqiaiuzfujabwzrrqdcqfltomfhfburpslsfdyvthoxonvtojcfoinnwshpvrdvwolxvmujupqffudvywbpovsmqoatzpkzlqmcpxuevyahdlgoolwbokgjcovqhjbwagyktseavmhdyrvohnugejzzijnspnzykymfvkevmknybwvgkaulqxhxolwzvikdkbjlycewlqnjwiblzgqtfdomtagtfkqqrljowrrmsabinjppnkumkmeowdlliuptccjmjfcirzkmbardfwhfxsjyrkuoqmssdcynpultfxgjuyqqinbrzcachzliwzpznjfwkwzezjdtqmmbplafmujgozgswwfhgscnnhmdooacpexiwhzodanaadjipgaghlrtnyrsgaxzvdbsebogkmqsyssgpinitwmibpzqrrdyxcfaommkylrmycavcgxiidsbclgajgekcbytunagrunxiyrcwssprovoeagdxuatzyzzyfocpzxjctfkouvtgacsgdbqirfwmokavxxldtnqflmbqxzhqejxvcneldbbkqwmkanhkzdscprtcctxcezmvnlashwkigzdmgmjgcwprzzmcisxcnhoikxeznsazwhcefhdcinmdrzkqdwzqszdjbkhkilolvgcqdznbddadiwlzvjecwpbxogiwxhdzovexjdguloqpivhpthpyoizqozinaghbhnwyieyuugiklbjkpgusvyzejegabkndtpbgobckmzbpkuwczzjzzuvpqudhjcquggdvuiufpsauyulkmbyemafshhsvmdsetxsmdtxoaectpmyteklysbvyzqujtkdlvgvavhkutxqjoditieynzowczrotcuxgrtbskvkclesmzjyxgspvrzhwnfofevrayjxwvpfaikpzsjumnwlznggzbdngklkbulwmmcqextmakxbwlhzzcskujovsluwdjdytkgaqgfyvpkcbdosgjutvpvrwnyvphlwnymlcheeszqptgkowyssvffgrufkbwtnkacxezlpomdyvlkgybbejptqctahtraivoklhadjegfqndkcjotgmsevbomwqrgsjpdjyzbedkryzhooredmvxjsusahnhodoccnjygyccjcsnznfjxxrtttfuekburzgcmopbdzlkegxnywafnxqfmehnwuporhewrvtumeqqfvazixxhylfsjnhbrgbteclbxuftqucffnlaegwtrxeapyvxayyiymncdfhhqteammbxqslhzumviconxwanlhtvqcmyusxonajxvpymdomlemjynbmagcemstfrzuuabaeyesnoisdjipwcayzvzdtwtcanmuvvaomtpufidfzoxtnmsfdyjpdtsqtwruauojeehblufymtkxagrqrtcsxofumsszroqxnqgongarutzdxhzdtwyvdghwzuntrlfmbcukxkghptuifoljevgljsdmjzacocetraihxkpmnxgdjztxpsdfwvqutkwinxicoavplbfvkrjqbjxwfzsnqflxceuxxbxcyeddiezouxasgljcwzmwnxhizcugaamzcfeaqefnepparuybvqqipslcfxynieyjdzewjbmborndfijdiesffhrognhfuoopyfoptzanvswtemlhresezjciymernmncxyjoumssysvoncfderjhykyjmztxmrpxnfcdvgchkokywdzxzsfeaixtojqqykjedyktiwzkcmowiqevrxfjmajfizsitvboqtbjhmbmxygoenljdqbqdiaefoghfpxzncitbyjbfbrpeqetgfalpcssbzmjcpafzlsdfkubsebjnhbyrcowrnwzlryaqlrmofwkahgrirvjoygbqnlqcpscwmvkpwzopkamqwlqhiyypbbjbzqnzoljpnjpevcpwsodokxrvqomnkiarogwsghctfvusmrewmnitjzxziorxarwtlnqjqxvzpoqnylrpfmeacvisfkdtxkmqkdzrtxxrghpxtnqxmlbyjtzlvldgtggxoxatlhhtxvfuvhvhauhkiyqsxcncywsuxluokkromqlsmiakpbtsrmyahfarbljcdrykcrljiahxkhzygqjjcsntkaxrqlzswtderqkqnnxoiypkcbleggrbvhklbqkjhrrkdlqbkoqmdaaydvkdyvrkmqxydsbuerphsasxlmzxcdolrlmgantklzwxqkkbalzegfmqmtvbbgwjujlxvkagxubwbqorttohizrnxfzdauhnthsopyodkvhmyenncehvejrnsgymkrfyezhoyooqrpujiscmrpalmbmdhhcfzirwweufoeonicautsawmtphldklglvmmukhwyhtgurxcrnkfteykcypwdeusjescyuxcdcvhftywgrkzbmswlhklenjateguvwlvuaknfburefkxwlexwsbdeamwcvxsdjidgfwyzwgyrjbssmliycyzqldhyatbkpptxhiitudxxygmoootlohylrfoyfozetoauerglvjoincmmdogbgshnrfvieolewfvlozrucqoucenwpdlzbiawxdbeispsyedqjxoexsvvrbadyntticqybakmxlbqjuooppktomnzevtgyuinaybllouitdnuoxsjkcxxzovhjoznhyjkoxlaamtubicssqgwxviuvgotzwpanueoikknvkzsblvlszoojscqphobpccmdtdubqgjpidhpxgwfynszqnmfogotvtkuwhxojjdzhhokcutkowjbplhuicwhsvjhtpzblfcpwcifzqmkphimfwcugenzhihaotyydeowysottpakmaprctqsaweeyqybkrvugwytpcqgxyrxwkkynawmspwelqnsgzozjrilphqwsbkzuszisrxwsqdkktaqjakqmdvcdxaunaqyptdcbotpaoyknbesawlqtmysclstweqlqtyfazwchgvdoevzkffqxhkxatswojjjsopdvwulsmklzxxvmfxovaxmkdfzktaolpexsfdznajtryzshzqahkmkyljetdpbnzcqnajyvdjrgianriaemtxvxarzbvrnfyidsxtrstsjxrdczflxiacypzjzqhfbxxepuhvyecqhwraeupsesusrxtqbsaqlqqoedydhpwmiikpsalvmnntxlwvyweqjnovkddcgaldqsbwummgsuxmemhtfzhdxlehiudtpbopldovqhzrkkprvnpxrrxhwspyewyjanbaceatffsxeildbxvkikwhigqduuupeohgdnaicdxfidqedxzmtxgctfzoeaavuwpubjznobfhunfmbmdmbfcvrygbwwsoyuptcxbknioqtgpforxgvdyjtpdwxxtmhiizxdriirnwpeznizbawoxkbjxibxicoeokshuppagshgsimkxykmnyqejrthizmrwcfmutygnqzannspmcdsjvfdslmrxfhljyxkfqaylvsrbhcayhltsaldjlqejaujlsqprnfrvapsesvxsoznhtozpyjwhneohfrgeytpzaxcugsxyebadjxwfrvzhsevkdrtnpuswaywiijysollrdjetvqghokcfckcckkchfuxixmivjomwftlgamafgtivdrzaxkbamhyalsjvdohqouzvolgvikxepgelzvxgbxufcsmdnyqytgzratbrgpjebcpfeohfcegpyjypzcctzezooqfbafagwndfygckkjovtvjjqfcrjlswnchynrvitqzgptoyibasbrehbykvdvpoqacejheeozrcxbxfpoylcxrticjpsemvdtxwsqtjjonzzbhijzjmgjqmchzwbfndfndjtihzbgtflskdwbdhzuzevgpxkvmnpwmjzbiraiokhcwxljizbwdbmynehfewzvqvnxlojwbprxgmnuhbqjqxziitopzsipxoqnttzffcfgcnjeudeatvwelnsbsbbnodgleuiasmsntugvndtnqmmwadvvjfzxvepevzlvrgyoodkowlcqtlreozplhefcbidvynrfztnawtmkguymnepljicsclvhfxxsnqeboenuwwxbqtwewcfpkceoqhthohfwtitrhrbutyozkqevllddcsmymfewkplceskrjsjvsgbgldwnhycaijmxtozvpekxnrgrkskzaksygpgklakfwbqvjmefvduruuusflmlqszolsbtummrbeyrzhrsvgtqkyxjqslnrsfzisvlhgfwlxenggoxdjnantbqfgmocznlhzvgnemgyjpsddfjvyfhelxbawulypgiposmskhqwmurpvkdfhqhjvljactjvnmxmjpipyydwiqgllsrklmwfwxfrehdofnpxufmjfqflvyslohfbsxqecutpqkjigfgkeeipulzyxxjpnjuvuncogzymeszksumsvioxeiqfgdvbwtxoswcnryfwojoezqlcvzopjomzlkupnxkwxffzspclizxxvdzuiexspwmifvjgqndeeucdtvcansesalfermqnukudgzvlirviyscfsyxtgrgwfwqzovmqlyvxuhniwudtiplybuyaadpezxlyzdsxwgmvlndbuqqpcldgftrcdwrqwwxkmbaqnltoymwldydovywyvtnavvtfwmrzlopibyscootkyztgilmzltcaphynfotgomxtkavkumoeiazhopiwxugctiioxtggirupnxykxuurxtxmzeyqbjxqgsgcikrpgqvhytxeurdvdmsyuvmajxrshlgkutuxhydrnwptwjyxqrlfcmwshoolpgdqmqptipzcbixmxcabpfgkwckkvezhyzgltzekbxwoyqdfjsghdaadyvxxmofapuelcjzikvlyqclekszafxprigekorhpccqdxueyvqdwhehlzzyztnabhdefvllnqdtyrveshiqnzvijankqjtgfegvyulvorhiuemhsgnwyzjgbcsynbfykrlogfietqfvjudtvoemgssnvnfnrxdofdzybxaqfnbbkztcldquxxdojvqsriowcdpvgdyxbcqqxjafvyebucmixogyomoceupdjxidhxklzpidamyqewgjsauvgvmyhszwunitnfuqrkglutfqtpzbuhgxzqpbzyklfcwqxjkkiedrsbhjirbjjxdbsgmxucxecpicpskakmgstepqvtehjvusbuywbqhpbqylbwicdsauvmclobeydvaodpqzgmxzvxoyomjfldbgfssuqyedqedwcryjbhlpumvabdprfbqmuptqzrxndvndfqqdnnfqcgrxfrsmrpwwtkuuxerjzwsdvaaiqadmtqxmhndvwlorrbkypycillhrdpysjcwhlhenjwieunyypobsjgtbjzoffhqadjonoegutmcznsrhtdvfygiymgbctvczantavckaejuclwawltjlhyeyfcpuvkpsprmpdgqpazakpepiwjsnbfbrnuzfijjdjcbcrjayxvendvnbxihsqszvpeihvylkpyksotsvxcqdpgabbehhounsgaqksshiiyjncadpcxsddodvunptvqiyeyasaixckebqdsrllwtkqqulmpwebahayqfibzgsmxjtuinwmscudncltgujmqxyqqhnudzdzytsufalsoncpagqkyutjgisrfyyubziulwnyxwcdkqmbvzlgirjfefzosacsyyjiefyaomwwhfyaxizkgrzvvgkhaiddkdzdiamfmwfzdygumgqccqdxovpmljoojhcxwcluwzyrvqxxgatukzuqeuqxosjiukdnmmpseasqlssswvaqxxzzxjiwtwgshtgsjaiuxhhjljyqbgkyfbxailosrzvzrtnpaviefpanidmwwpbvwqbybqsqlpmaiyaosmwxltqhodpvdlxmhhuvivjzjqzqwmwnjcdrnnjausiuzitqkulfuglfyweqvgeehiuajbpmcgqfqomytwxwszfnuygfvpozkazsekmvayfauyfcqbxxbpogqiradfawrakfpucwzhwtlofrlcrkutjvwfabplorycduiigdqwzgobroukgclyvxsmmwzybcxlmctcopnmxofcaeqazqtwiylrimfhkjmemqcqoquhsjpzncckkovtcilnktemshyvnshvauhmefmrfgjenokphxlviqzaybbbihjrczbtbqudinapcutsmkcurzyxnedsvnsgxoanekzcwctetivxxotjbduznqyqrwxyafcglrgwditadpstkbrfxpqambghtpgardccrlhrgjbythjhqotvvhirmchbtdxnhzxmxzzhjkagrneiwnajcbhbbhoqwfrrblkanqdmdfqqzprrfypjadwixcregmdochfpukmtwgrszzxtqaiuyvahxscrijtisnwwlbglfcxtniswmuyriphcfxoykfjamrwunzmkijeavfvqlalhqnavlvdwbdrwshhitgrxujgabykxzmvonfyhwwsuaoisbktgsnorosulgarfgcjnohpxauqlitbjnzgoatdngrhticjuzbsezlzlziuwszjimgafuaaobpjebqcdzqxxisrcctwvlaryyddvwyhyczgwfwgahjfwmpghdkmpppayxnxbcsojxfyrhprzmanlvpnlougvhfahwfxrjwasrdetxbhvuuvozhhtzzgsdarajupbpgnizwntpjehwmwjardwmegcbdgktdkklexoxtwwobtrgrydemegxprnyezzvscytmsghqxijunvxfxajgqogpncfwfqoutwqcaroeeqvbrmzrcljpkagbmnnicrcvgqodaiglwkfhpivjqmvkmthishgakotgtnigmpkiibstptasoraqwcdclrxhkkluthnotnyeaezmemokbchzcjhebqtvefizoxllsmygztpufecvclwxdgrgffwkwhnccpbwjurjapjtakzgirgtybpburlarxwcywhaijkcytdnfajavdikduvnbkpbewokzfayvfuvjjitpmwdymktbwphhjrvlzbuiwpmfkitzmemoqbdcoyycqzbokionsnwcinsxbadlzsuiyksoeokzhlbqcfwsvlhgesyvzllxtbirxvrvnwbilevncsxxoxqjflzkewzbeweemtufpcoxsbucobranmbvyzlhrnrnhjndklaqsomafevmddhqxllirfrwixmokyasasngvwsyerjphozxirquduwitjfpvwlnkepdstdbvrgdgjmzydgynicuahrlknqnarrnfynpyqyscqflldycvsdvcwnhszymcuvasxopsbyhwuvhzopxnfzrxvcedktjchsobtknqtcxkhhekiqicvogvxzanjvbhqposensdtakdvkkjhesmfhplorwffvnfjwgbycpdcoazdrnmzhdzdxvkldgueqbfkrvjftdpgtdkoxdayzmnujbveysaystmjqndxawnhqdutxhgflkctqtksiggrmfyfswoektskocofmmrdullaqxmgxtvnkjebopvlizlellszscewouyuwxeltrlyeliqnwfeloyonfbsxwaqqmwtpdjrraghsapzzpklmohqcjobjgfdzwftstagshwadpgngdorgmoqisucvtnkoradzdckrmqxwxowjqwnyvvzltvnnmabpcjaffouahwygqmtgsrgayvbcboqxglqwqndkphxsdyolfrremnmpbmacjiuoxtgkdxrjwzyfmaryaruesdllklvsjwgkbnwinrkcpfmkvxopnwpnoxmwpuwnggebcdoynydjmjyymnhemprxoldwrcyjcsvusonvjpghjaelbookuslkgnaksuqvngnsascjktyqqglnaqemnlpigtonntcjnorfkxoosyjzfejzqsynibfvqkhursdisricbwyykpzssgcqzbvnrnlufbvivgahuclspgnqqobabrlqkyiddnqcxfagypfygorgscdgojnmgomvchwqsrgoxyeemtxzbvvqkidsrcvvgnvvkhlydvmfslhayadsekwjqeaapvuiymcgrxdlrzdcaxegxfaxupdyfstdhmjqpwpjvanagxatwstflocvxdevlcqwncpdarxrvxvuxqeepcthmtnhazspcdxeubweksqptiqozihmndwciudrwobtebbkzkpffbauchubqugpvqowrjbbetglayzzsqzdsmlbbeaeqbbnaivkupnsnaauokqqvznsepkaitpzzhlsyssipbvwfwjfczeqsqqpahhumrhpqoflhrizgphokthmkfhrcjfgbykyvrcirabnxegwroebliysobcjxmcfgfloepacepmqkhzgxqpjcudhlbcufxgtewglvujmahqtdjimlkqmardlbsqhzavzbwtaxlslfwkvystzvmkdtnzrvlzodpfacfcatkmjubdloxjfppcwkrxlgicxbmdgtcgfagabgosrjqxszzgcgvavsccxytsbijjmamnfxvtnmontrqoacnclxihaytescmdkjbrgmmffctcsmfkwejubgqlogqvsuctwlxphnoskjnxvgygkbfcjnjjhhnptgxiwbjzwzxzojfyxxhlmmqnehvfddsgyqcmjrjnsgmdxygyijcuiybzcovmykfespsthvtqljwkqrprhkwbjryynwlawmqbznhyqkemmalezwteuybayiijmthhptawdszaxflzkhjrkqhkayadvelppwrsbtthqyghbqjlmmhxrtpxhalxjczszwoiorgpofsyrsvfbpeekpmluexegviunstxdhhqnumjlgpvzdtggszugzbvabrgzipxlsizxwtwfbhiyncrtgjsuaywfozirhuabekwsvyfdlltpdxddkoengnfsqwmtwksvyymicybobfvcrlusvsafsixmrgfzawuclxzansbwjifqwkaawleijjuolkmraebfbsiwgeqmwwjwjgfcslfpolzvpqwuuaydjtvqysniwjinicblswjntdfjygyoyjdzaqlmyeozycosuipozeoftomncwxxenopgurjzeknbidakspiomisfmzfywaiwwngdnsnlcynfdlrjyzthcpkajjrxbwncdilapfdpqlaliquzgrxsgejazlgdwpgbrahndnnareuwyewtsmufezwynuqexulznqbuxppovfpcjoukqocldiaofmwgnxqeetkxkrblqyaialdowugfcchovxtcbedygrxlpqrbrvejluswyrhwmpvnzgcxnnwqqguzfqoopydycsfbvjqweundjjxkgpgvaauonfragfydgxwsyatqwvjvnloetxmkydqaxpnudlrqyidpadhkhbsdajfnnmikbfirouygnwoktcztokkdndcomifmkgcxyuavobapyrqicvbgvblmhisadltzonuvqhiwidicfwitcnhxyprmblkmxsfpmpdoosnxztbcqiypzwffiumnxiawbeyhjfyfcelkqofrzxsujpsqyedlrwykszkzomwifvqzekeriuxhqzfqlgzmhtjrrccfugchytaxvnwxhauzpaxascikbtprtlusjbraiqugjdbfmmvjkpemcdmtirxdrzziozknntvhygvtnobdooupryurtvocmmkneubwtoyvgfjrjckflqgnnrdnwycrorjoqbrtpcvnvywqeehoetjilcdjumzzzmixxufpdxlqqpsmrlrhqajzbteeixxxtgvngbxzzvaragluihtvboylirwvrafuzdintqcuazyagmektidqtpcowrwpudfvkfxkfnnrozfvkjrwlpgvavirqzkjoukbbeadxcclxveobxxsbkcxiyveazgeeoyolottmkgcixtvvvkpriixjrsomfgpwsowxhkadoxfaxwtlrmsdqfvuonvaiioxxehmozwznodrzyjfcnmixutpocmpnxtsaqbwcmnzqoxxqeksyqbzcuqlaymubmqdneblotybfbrwwcscxkcubjcdmyosxcjkokuzozamfuljyhaqipqgmrzlymftupoikztpztbpkiwfjvfwptdjmvzaameiewcvowxajltznsebdvzltvsrdzgakhkuywqnuacjlsbicloawqvrgdxgydpzvorybsrdnpuvmnmoeiovehlmjlxvjgoizsrxgxmhskeaxxfxtjnhnaxfeusuitxxjbuvfhwzftzcuthsjosrfczblcebvgphvfmfffhbzbrilzmldkewhlgxrkpdfjrkqawruhlglxrpuizhrvfabvwemjcxgkqpmmouxqqrwkgtmyzelwcsvyafwpbiohezevlccwisbiufblgqxtemjtlgfhspyimzmslvxtvvqlugihgjudjixqthjcsgnioduwuxzvuxjzqwjxokdenlprmpjxtyixvpnqtnahfknpbhkkfwrbqoaeszhbsbksuhysrrvqiyjqxbxnirfnmdzdbufmhlkixkkqzyqpjmymzihdsthpknwsxikjfyactnhylyparkcgvlvvxeamylhzuowfuugiqnnlktfsonqmmdpyqhtgzxrysqfgyfzwgnxiujlsjfcdwkrnsrkmotyrlwisqqiduyxgfbmlmyvqhwgihyoviiuckyeapmxgjlalgkfctwywazozdaqhicsxmknfvnvlidgagmgccsacqeuickmyfojmtslejybkuxgxcswcaiyvrtdmvygxrippghocgpejnbaxrznqfckswdjloiwrrttigiksakunttylkxdzeospbddbctknynutzbpgtcgfxmaqfmxvgjhobaqvbfiietohylazsmafvohxgbbhlnitbltbqlocnubjzacueeyyeotwiamctheptzmebnrlsrdxtcnmgjelfgljapvemfszdoathczdfrewmuzszkfkmwhtljvzvauupzawibscukpxytcxillykxdlzdrlwxjaquguzyhalvjchiidynuorfhxhsdxiwugksmuwchmsfxldypemegmncnvfztzouqquxahukiqbvtwrpomlchpfrdmomqytdcrkufgtgkjovfigndzggmiuqulvnnijhasxiyubiongtvzhagzzteogdtsnihugmcngonnhcguwswjnbndwhtrpfejsjvvtyhkjtydaguaktrzazrzfldrlfiwjyqryixudlwcwlghxfnfjcqmcguzdvfbupckldsqvsaudjeqwrzozurqoidnmfrkwwbdxblyxmtzrvxywvzlrjvtrxpocdwtjwemfpfbtcmmkdqdpbphmutuykpkgorpptgvkgktkxleudrrdvqhkyfuyfvsmziibocdptgswxivypotyqjsgoticjkmsbmlkorswvouqjhlatdmyzdjnnaaeaexapnegxswesaxvxnnixwtxygcaqmvgmrusaomcxzdeaeluhmknznmooadmmkqxagpzxwzeuxeycfkagcpumcqfggrmbcaiuvqberytfdotpwrkbvjgeqzvrudnnbcnwxhgufcwyjlkseqpljybrzfmxqqfoyxdwaocgwlkvueymwwxkrdgycjeyumbuaoxqsektvdannaahvpbcnhtzkyyvvrtfthahqnenpopouplsiontvumhxbcpxrxxwesvgepqglyfuddajzvrvcdomcblduqldokyktkmkinpwnvyedjvxduiqfibkneqnjgzyiiazcwjpabtwzenqggciiryrkkpulleniswuinshzywlazcndezsfbxyzsayicfvfbecgelakpwnoovjknqfvxhnqzbmbsghjhnenbzmfagaiadggoxszbqhgzhbvziphoviyaerhlunpijnlwkmukpgsiuvqevemvhfpwtotcryikxssvjdrbbdypktoraakgdlwglcjbrumseifixghonhjniziqktvpnbswquhavakhwzcnpakkmpctivbpvtjwcycjjvsxnnbrjmvqvikxzjtpexxcrsactalqynotuukxbymcugjtsazspsgtfnxlhplirkrwictnbbdfurtjemgsmarmwyobwfipabcqrdolmddlditlrroturdwzejutnsbghjojcjjegmijmqhhibpejtnskiuzkqwfgrlwlakrjigxbbhhuysfmaqbxtnkyryactsjnkiwewatcnwuijgaoybvvthwtykxvzvmtkknbangfpnsetqrpwlnzxehziulbwpmdjdryyioamkbbrtioojxnbzxxwtyziqonagdddfpfsoanzllzpqsvdkvfignvuynwtclxvrtvkxxppmvqqopmivzktyljkcfnspcgnxhzbihifoqxqxjeesezhmzmgclrnkxumlqixiuogakclrbcsaqxrxrhomgypjzehdweblyhfclraewdeoqaubeqqnfxoxbgbkszzeagiyvunhlinbuybxhbppdvqnrldartxdgulxgkfgufheqaysitimtoymfdwsyhkxufmlqsijglyoyrwsjkxibhnrfhrvdjfqzdujtzyavvrvcosfafwogeczaltewydzfbdokgifessqecozecehmsiifghfnjwwamhpxnvkzbowrisqrmksuvfnbegzlbgmbozgwzapoqsyrueesalbcctpiyurhurobuxyyzynojrygqoflscdxlnxmwnyctqgipqazayumaylubwqaadznveyqudwhpbvbxnrjerpzbzywzsfddgensuesjvhagkkjmrztalwdtmrqnimstdilfrpybnfgouzjktoolvlekhqyeisvlddsfugirefqixcwchkhrxqrwrewepwjkwqhwtnvbnhjnaubgftztjojsfnpbelbkpbuxworonijyvafvufnabqzomkkvvuxvbqecwwnzfcvrlvoxtalrmrmtqnimdpkmxbqtpjxomslqeflljlthtabkundxrllyxweubyopcycluvdduzwaoexuwdsooroinoxrhgmqrlzpsfnktdinslgfsscdbdunelbviqdbfddrhhmqioxuqksmneddhcweveubdorglcmrpxrutftznupgksvldyaksyujdxnpvinsjnhowwmbiqgydkgvbervtpsykhxpuzwcmzkopoepvbrbhjrgxhkadfumuxcnrpnkltfkvjeeyhphydmaxaxlooejzbtzirvebavtjcrriqhricyypdrfzxygrrslteesyhltakkyjbyxmgipqvywzecqxiwpiygtljtfyozofveztniogoxyrsszsxhgqqgwwfnnuyhbowqenhjveszdjtpbjndtwqxscubjmsonzsyfqgtpdvyfrfxjxtfjhnnvjukjbvpnzxhvqojpkdrasjhfferbvmvbdlrsutmvcrosjxqnlomeyqspztspjalyqwfvvtmijvjqlcvubfhksxklfxdlwtubmdzmtyhyeodgfastvkzrheqjyavsojzmysrzhteramefdyqmcygghzlmvzgvdiodcfinmrpgeifhknohiuddvmrrnmikobmgadendxsqdefhpgikcbtwmbnncmtagcvgsocnxvazafuezkkujtmadtslpmscfyboutmtfdngokuoifozhgozajfepbyurxikwehlhqyplsyssvmtutsaisxjtwiytsswqhbicszuwemozwlisrrgebqbpznxwgjincbqgsgmxgpirwlrweikddrdjpesoiiuappfmqpaawilhbtoayveyqxtkflsmzteogsflvnozaimissfqwxhodnlmahrbtfqklwdjqzyjondyjsvogexbmbpjucjomrdjdmlynuoxyfnssyeycyidkaxtcsfwnpvxqkfljmvfxcrlngbfejucieenblzcngczydvcvqxtrkwsdteeuxcoraxkkwbrmglhghzvppqxlahstjjzqcrgmfeuwarmmfgrqacylwltexiiphkzdofymrvzpckxgqngalygtoyfajwcrkxwawebtxbubmuyeciqfsykgfusasiuqqckqupvbrojfekyjeenbosvnnrktwxjuweddaugazvfydwigoixyvrsfujojplixqodttoqjsjjqkvzygxbnmjgdzrqayacuxuxzbamwrgxckbetwcqtseaymdxxrpvjbcmfrqienoupkrpgtkgemmzrfbopleunwfeldnmcanrbybicjmthotrbtjvvpmjlelpnpdzdvmrgelzwjilowsmaipxayiajxtqxsdciuddnwadrrnuvtsglfthbtiscmjkuglxulhgwsrdcyfbvcerjxiwjrzrltsbfwzqjmarfbyzuwfkhdhkqzddffysipkofncrjiliqeyxnozjpqlfcmcczebgcisburfpjjjlfkygvalmsmmkdheoshdmnhppfiigxjashswpeabovogbjkkcrnrjuaspwfsyyluhmstwpauvogrjyxvdzwzxmcnnfovjpujmrpzqexnvfdczvtnxqqnaeofhqhvqlhmaiddvwzndkksxyrbwzsxhvrgdhvgwugnsxklglpcmnnkdtaxogqqhvmazmexyaiwlispktudoalyefcuybfpbzptaepzjueqccydbvahijhgrazlyufjvrgiailuwavhhvnohcvduvsubulypruwsmfdajzaisuryinxketapytzqbyggdwifahffbbwzpvssaxmmchnuljhlguptabtseiffxfpeszekkqxhoeocqfbtinbrvhawxkroctllyfbgaymdkwisfanfohjcftoephtgmaercyhooszamsponlmhifburmtnacojvgnjongieavpcptuitaanczautnwwirdtbvdhoktyzkfkobnpkfuvxzryahgomjglshuibtgiphpfaqclxptuswsfintrtxsiexldyuddtelqpexdujbjpzynkjyixufhzjyuiefborhrlwubypeloaroxdzxpsikuzwchfmujgvodkygqmxeuoyoaqjlooveugsdwxgocsxtvnzbnokwjefwwwwvbodzncicgjwnznhicsfwwjdbprrdlrpkooituqreybasdbuwuwtsmdvdvpqdyesmvrqoidgteghxtopnovfqgxlkoiadccbvqbxvqvytnqvaebcfkcddmbawymoyyeckthiattzwgplnptvnbgwftdnntxroljbshwpnxgbkwwiwhpagzzhivkkpnvmpwdxvgsfgbdhmodkojczesejqzsinyqprrsrvbqkmtowvxohtkqzraarxbutsrwlfwbgbhnvtorephhotloavmreqmdiwyzzyrcsfjsbkyxqbmqzsamwnvmkwukspdefzuqxcbpxwukmpnuedfpshqomwxqcoqsttggebeybxbgfqbuyzmqehctcdqsapiyqgqnrhdddsurrwqyiqasknnnumdgocsgkhnxnhsaoqfqtpzvrqxptxwcuriyibkxxqlxnxjzeawknvuqfzvxvhfpzvijvugzgedwvbusndlhonehwofypgpmnimrhkpnfptstcuiwdlxearovflocqetkroklqzugmjapzvdtmkpvgvtmhkmgwhnpmvkmxodcxhxetekfwtbzzarraxjhmochgvdqehmbctmzxoqgjckgicsccdompgcddwvwpigihvibrrfdpdpcgjiivwsrmcifgahfcmkoqbggvxyynhpjlwznpaxvskpmuqzoixexqhniluxjzbdhpkvshrlbuetmzcwhrgfnxcqysfnljpygkccjlbynrgsiordefikluifiqiltvmdlywwlagvwutfslwscpbjdnyluabuwydkiabthapepdegmhbqgiwzmhtrkcwcyedefkfyxdrcrtlzywdrdfmlfmngpfduzmmjwycslhkgiiozqdhhdkuebbirdhqikfxqzzpusilkuerqwmbddfckdlhzgmuqzvypbypqnxguxxjuobqyuqvgtmrkldzwtivlohcglklvyrqzzwlzchueoekgawszersllrhndfomiqvorqwxtbedvtnmovnbejtripxbbuscvspolwezhkiypgtxgcrgslvhfqpaaymxseknaypqwkvj\"", + 45531 + ], + "output": "zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuutttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooonnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiihhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa" + }, + { + "input": [ + "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", + 33289 + ], + "output": "zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuutttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooonnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmlllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiihhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa" + }, + { + "input": [ + "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", + 6516 + ], + "output": "zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooonnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiihhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa" + }, + { + "input": [ + "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", + 31381 + ], + "output": "zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooonnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmlllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiihhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa" + } + ], + "haskell_template": "repeatLimitedString :: String -> Int -> String\nrepeatLimitedString s repeatLimit ", + "ocaml_template": "let repeatLimitedString (s: string) (repeatLimit: int) : string = ", + "scala_template": "def repeatLimitedString(s: String,repeatLimit: Int): String = { \n \n}", + "java_template": "public static String repeatLimitedString(String s, int repeatLimit) {\n\n}", + "python_template": "class Solution(object):\n def repeatLimitedString(self, s, repeatLimit):\n \"\"\"\n :type s: str\n :type repeatLimit: int\n :rtype: str\n \"\"\"\n " +} \ No newline at end of file diff --git a/construct_string_with_repeat_limit/ocaml_tests/main.ml b/construct_string_with_repeat_limit/ocaml_tests/main.ml new file mode 100644 index 0000000000000000000000000000000000000000..b0f0360348a9ec883ce614b1bcd2c896ab2492af --- /dev/null +++ b/construct_string_with_repeat_limit/ocaml_tests/main.ml @@ -0,0 +1,26 @@ + +module Main = struct + open OUnit2 + + (* Program start *) + + (* Program end *) + + (* Test cases *) + +let test1 _ = assert_equal "zzcccac" (repeatLimitedString "cczazcc" 3) + +let test2 _ = assert_equal "bbabaa" (repeatLimitedString "aababab" 2) + + + (* Grouping test cases *) + let suite = "Test Suite for repeatLimitedString" >::: [ + + "test1" >:: test1; + "test2" >:: test2; + ] + + + (* Running the tests *) + let () = run_test_tt_main suite +end diff --git a/construct_string_with_repeat_limit/scala_tests/MySuite.scala b/construct_string_with_repeat_limit/scala_tests/MySuite.scala new file mode 100644 index 0000000000000000000000000000000000000000..10bba00b66b1a842177372c674058e24f452c8de --- /dev/null +++ b/construct_string_with_repeat_limit/scala_tests/MySuite.scala @@ -0,0 +1,12 @@ + +class MySuite extends munit.FunSuite { + + test("test1") { + assertEquals(Main.repeatLimitedString("cczazcc",3), "zzcccac") + } + + test("test2") { + assertEquals(Main.repeatLimitedString("aababab",2), "bbabaa") + } + +} diff --git a/construct_the_longest_new_string/haskell_tests/Main.hs b/construct_the_longest_new_string/haskell_tests/Main.hs new file mode 100644 index 0000000000000000000000000000000000000000..1fa67e7d06d71236870ec0903fac72b4c5a77e1f --- /dev/null +++ b/construct_the_longest_new_string/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 (longestString 2 5 1)," 12 (longestString 2 5 1)) + +test2 :: Test +test2 = TestCase (assertEqual "for (longestString 3 2 2)," 14 (longestString 3 2 2)) + +test3 :: Test +test3 = TestCase (assertEqual "for (longestString 36 18 13)," 100 (longestString 36 18 13)) + +test4 :: Test +test4 = TestCase (assertEqual "for (longestString 48 31 5)," 136 (longestString 48 31 5)) + +test5 :: Test +test5 = TestCase (assertEqual "for (longestString 46 17 28)," 126 (longestString 46 17 28)) + +test6 :: Test +test6 = TestCase (assertEqual "for (longestString 3 24 18)," 50 (longestString 3 24 18)) + +test7 :: Test +test7 = TestCase (assertEqual "for (longestString 17 30 17)," 104 (longestString 17 30 17)) + +test8 :: Test +test8 = TestCase (assertEqual "for (longestString 4 40 28)," 74 (longestString 4 40 28)) + +test9 :: Test +test9 = TestCase (assertEqual "for (longestString 4 35 25)," 68 (longestString 4 35 25)) + + +-- 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/construct_the_longest_new_string/java_tests/Main.java b/construct_the_longest_new_string/java_tests/Main.java new file mode 100644 index 0000000000000000000000000000000000000000..1240fd7d20af4d08490c4636f6b9b489eb8289ab --- /dev/null +++ b/construct_the_longest_new_string/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(12, longestString(2, 5, 1)); +} +@Test +public void test2() { + assertEquals(14, longestString(3, 2, 2)); +} + +} diff --git a/construct_the_longest_new_string/meta.json b/construct_the_longest_new_string/meta.json new file mode 100644 index 0000000000000000000000000000000000000000..654d0419c31a4a65f2e2f86e0e7316d980e45544 --- /dev/null +++ b/construct_the_longest_new_string/meta.json @@ -0,0 +1,107 @@ +{ + "id": 2850, + "name": "construct_the_longest_new_string", + "difficulty": "Medium", + "link": "https://leetcode.com/problems/construct-the-longest-new-string/", + "date": "2023-06-10 00:00:00", + "task_description": "You are given three integers `x`, `y`, and `z`. You have `x` strings equal to `\"AA\"`, `y` strings equal to `\"BB\"`, and `z` strings equal to `\"AB\"`. You want to choose some (possibly all or none) of these strings and concatenate them in some order to form a new string. This new string must not contain `\"AAA\"` or `\"BBB\"` as a substring. Return _the maximum possible length of the new string_. A substring is a contiguous **non-empty** sequence of characters within a string. **Example 1:** ``` **Input:** x = 2, y = 5, z = 1 **Output:** 12 **Explanation: **We can concatenate the strings \"BB\", \"AA\", \"BB\", \"AA\", \"BB\", and \"AB\" in that order. Then, our new string is \"BBAABBAABBAB\". That string has length 12, and we can show that it is impossible to construct a string of longer length. ``` **Example 2:** ``` **Input:** x = 3, y = 2, z = 2 **Output:** 14 **Explanation:** We can concatenate the strings \"AB\", \"AB\", \"AA\", \"BB\", \"AA\", \"BB\", and \"AA\" in that order. Then, our new string is \"ABABAABBAABBAA\". That string has length 14, and we can show that it is impossible to construct a string of longer length. ``` **Constraints:** `1 <= x, y, z <= 50`", + "public_test_cases": [ + { + "label": "Example 1", + "input": "x = 2, y = 5, z = 1", + "output": "12 " + }, + { + "label": "Example 2", + "input": "x = 3, y = 2, z = 2", + "output": "14 " + } + ], + "private_test_cases": [ + { + "input": [ + 36, + 18, + 13 + ], + "output": 100 + }, + { + "input": [ + 48, + 31, + 5 + ], + "output": 136 + }, + { + "input": [ + 46, + 17, + 28 + ], + "output": 126 + }, + { + "input": [ + 3, + 24, + 18 + ], + "output": 50 + }, + { + "input": [ + 17, + 30, + 17 + ], + "output": 104 + }, + { + "input": [ + 4, + 40, + 28 + ], + "output": 74 + }, + { + "input": [ + 4, + 35, + 25 + ], + "output": 68 + }, + { + "input": [ + 34, + 17, + 32 + ], + "output": 134 + }, + { + "input": [ + 32, + 11, + 17 + ], + "output": 80 + }, + { + "input": [ + 44, + 42, + 30 + ], + "output": 230 + } + ], + "haskell_template": "longestString :: Int -> Int -> Int -> Int\nlongestString x y z ", + "ocaml_template": "let longestString (x: int) (y: int) (z: int) : int = ", + "scala_template": "def longestString(x: Int,y: Int,z: Int): Int = { \n \n}", + "java_template": "class Solution {\n public int longestString(int x, int y, int z) {\n \n }\n}", + "python_template": "class Solution(object):\n def longestString(self, x, y, z):\n \"\"\"\n :type x: int\n :type y: int\n :type z: int\n :rtype: int\n \"\"\"\n " +} \ No newline at end of file diff --git a/construct_the_longest_new_string/ocaml_tests/main.ml b/construct_the_longest_new_string/ocaml_tests/main.ml new file mode 100644 index 0000000000000000000000000000000000000000..c75f1ee029e5e601239021d88b2798d73b2b026b --- /dev/null +++ b/construct_the_longest_new_string/ocaml_tests/main.ml @@ -0,0 +1,50 @@ + +module Main = struct + open OUnit2 + + (* Program start *) + + (* Program end *) + + (* Test cases *) + +let test1 _ = assert_equal 12 (longestString 2 5 1) + +let test2 _ = assert_equal 14 (longestString 3 2 2) + +let test3 _ = assert_equal 100 (longestString 36 18 13) + +let test4 _ = assert_equal 136 (longestString 48 31 5) + +let test5 _ = assert_equal 126 (longestString 46 17 28) + +let test6 _ = assert_equal 50 (longestString 3 24 18) + +let test7 _ = assert_equal 104 (longestString 17 30 17) + +let test8 _ = assert_equal 74 (longestString 4 40 28) + +let test9 _ = assert_equal 68 (longestString 4 35 25) + +let test10 _ = assert_equal 134 (longestString 34 17 32) + + + (* Grouping test cases *) + let suite = "Test Suite for longestString" >::: [ + + "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/construct_the_longest_new_string/scala_tests/MySuite.scala b/construct_the_longest_new_string/scala_tests/MySuite.scala new file mode 100644 index 0000000000000000000000000000000000000000..e692f5c5b3600a2cfadc2176f4a25575c2ff31a2 --- /dev/null +++ b/construct_the_longest_new_string/scala_tests/MySuite.scala @@ -0,0 +1,44 @@ + +class MySuite extends munit.FunSuite { + + test("test1") { + assertEquals(Main.longestString(2,5,1), 12) + } + + test("test2") { + assertEquals(Main.longestString(3,2,2), 14) + } + + test("test3") { + assertEquals(Main.longestString(36,18,13), 100) + } + + test("test4") { + assertEquals(Main.longestString(48,31,5), 136) + } + + test("test5") { + assertEquals(Main.longestString(46,17,28), 126) + } + + test("test6") { + assertEquals(Main.longestString(3,24,18), 50) + } + + test("test7") { + assertEquals(Main.longestString(17,30,17), 104) + } + + test("test8") { + assertEquals(Main.longestString(4,40,28), 74) + } + + test("test9") { + assertEquals(Main.longestString(4,35,25), 68) + } + + test("test10") { + assertEquals(Main.longestString(34,17,32), 134) + } + +} diff --git a/continuous_subarrays/haskell_tests/Main.hs b/continuous_subarrays/haskell_tests/Main.hs new file mode 100644 index 0000000000000000000000000000000000000000..a95a7614927f4a65da97ed46326c59471d5bfd09 --- /dev/null +++ b/continuous_subarrays/haskell_tests/Main.hs @@ -0,0 +1,41 @@ + +module Main where +import Test.HUnit + +--Program start +continuousSubarrays :: [Int] -> Int +continuousSubarrays nums = undefined + +--Program end + +-- Test cases + +test1 :: Test +test1 = TestCase (assertEqual "for (continuousSubarrays [5,4,2,4])," 8 (continuousSubarrays [5,4,2,4])) + +test2 :: Test +test2 = TestCase (assertEqual "for (continuousSubarrays [1,2,3])," 6 (continuousSubarrays [1,2,3])) + +test3 :: Test +test3 = TestCase (assertEqual "for (continuousSubarrays [415902931, 343918193, 266220156, 251496706, 916594909, 183487908, 819573683, 410909122, 643194414, 542676937, 741361623, 663328036, 45885574, 599661110, 732324972, 589920561, 212123225, 426626601, 807144564, 694302537, 772834813, 789341879, 392314988, 552007717, 263515005, 391851564, 564745148, 139830474, 689551940, 165378192, 321798758, 251764230, 991334235, 455498208, 876688063, 215275076, 108543552, 182735520, 746496562, 176279307, 397900236, 980928708, 345715919, 739154585, 997386296, 31023045, 222116835, 696596571, 13334236, 105144317, 892424821, 880810494, 458810796, 731577998, 56097675, 350216705, 158484779, 258345418, 316801452, 954710160, 978449971, 398444692, 594275240, 970744182, 962445729, 223212988, 94925571, 889775911, 294377878, 667486657, 396086192, 901351444, 76539600, 279516041, 867398776, 310138459, 904219404, 548448102, 981365777, 320181554, 372267031, 666373363, 206976135, 946980399, 57950865, 651010321, 404777463, 765177493, 398996379, 486642989, 896382232, 82044705, 634153953, 204420548, 81201212, 782193870, 359964206, 507217952, 698119207, 239188305, 205081346, 558756534, 684411477, 305146010, 35717138, 817373709, 572024012, 817729927, 163305744, 596313192, 470326851, 276051153, 927905239, 747934607, 406480377, 443170362, 306728982, 961927303, 665406848, 849498963, 666404594, 89932725, 110023860, 623536733, 804489569, 337429056, 27941402, 911436544, 820114609, 735724962, 849542104, 970410031, 824695979, 612989017, 228198781, 163671669, 425047327, 733258319, 175676043, 235542330, 635435810, 111609030, 748803563, 216347518, 690435317, 348292694, 192410068, 756518625, 141133842, 895277409, 423412464, 982930597, 951557454, 450477299, 377496863, 517720039, 535768354, 168937136, 698585749, 48994540, 981597766, 449925297, 426565962, 59344853, 372583531, 135430136, 500904538, 365822648, 612100021, 118903581, 372615514, 498626430, 141267371, 586331432, 605465237, 387101865, 773812695, 44337623, 500160290, 926248803, 539819333, 37656570, 949653760, 818851998, 648245026, 374331139, 981894497, 903376118, 380876813, 117255510, 90479634, 461922021, 733796555, 775917412, 663608923, 916628077, 598712843, 926608942, 340312690, 614996364, 485920670, 763269902, 222557106, 720760553, 659147595, 798312082, 653358631, 431722794, 874054726, 540310355, 700299066, 124649589, 479420597, 74118813, 625057465, 450014467, 808583398, 666844052, 669409336, 172823296, 15052321, 589243485, 972321292, 216810258, 145194116, 58657973, 879739883, 516664462, 201639713, 547169435, 409245973, 361577765, 813347465, 469742829, 267107686, 108123445, 707331600, 727328589, 158875624, 387372819, 545756407, 495169015, 916966998, 76851608, 159552681, 620094824, 88424962, 567795392, 584383377, 699887772, 543563486, 636205583, 935426129, 751767135, 977879847, 240199148, 535654032, 82285700, 382886394, 708611150, 252892534, 51695558, 543309343, 887453022, 787203849, 230828377, 877631359, 564224902, 847641766, 259416389, 122910781, 819435044, 367118408, 43350399, 719347191, 543652343, 382337780, 69323814, 166711995, 278657005, 438130251, 242251507, 173125262, 143778166, 748412300, 161845701, 404818465, 631928486, 904417072, 134001332, 971231479, 364485339, 167348442, 776007602, 425715015, 100769149, 304539230, 303357812, 587295883, 358963447, 967471207, 148562585, 388835795, 45826475, 334158277, 876319935, 629143648, 424816940, 659259782, 752361212, 431337393, 445267894, 398390358, 665687065, 205928369, 953084298, 138321091, 771947051, 346275978, 560808132, 288186377, 760170616, 50086999, 436606484, 858979244, 394007143, 612374509, 665890061, 159186635, 244066046, 711577310, 981120278, 787759585, 530186071, 722324102, 680279425, 971230274, 822541505, 123414448, 274564380, 471408428, 601789956, 885465084, 57027470, 570865181, 979046542, 180027116, 460014818, 985024417, 560074008, 381781773, 473390163, 525110423, 475707615, 126679862, 514656123, 95605997, 67775680, 301098014, 264024852, 926381537, 473311241, 108705898, 500084279, 516676800, 778974925, 553024639, 555337372, 485450061, 104179915, 803004275, 184407279, 235526325, 371294052, 223093969, 655591449, 459926030, 530201851, 642145772, 525023518, 468809826, 874923671, 501587638, 677137377, 950827993, 480428390, 363995121, 155292808, 923762237, 757371572, 88947379, 694894144, 243376480, 729389169, 392027665, 653904713, 813539533, 862793901, 654334365, 931369696, 68302198, 559183607, 665541995, 221591357, 762741076, 159857055, 871227047, 499415051, 486039621, 159431606, 11778775, 632909231, 787866621, 990429816, 912217229, 239241297, 503344535, 60105056, 465265818, 551428341, 131087483, 199786217, 63134374, 323486675, 491542166, 758614678, 357311342, 572343650, 218913868, 564501740, 322199933, 438790300, 225531396, 198062739, 384893895, 441912825, 175638373, 277513619, 91317600, 148289971, 597198109, 205305918, 249361347, 662630540, 65558320, 168764773, 549188770, 643419810, 876225308, 606985887, 273898099, 375519918, 653568634, 265557482, 326560752, 309328679, 14302393, 569914931, 135218898, 516235740, 400077968, 721441250, 476512682, 483941521, 404162131, 393365293, 11449542, 879912141, 262942089, 945331120, 854311826, 340673963, 896206661, 963141047, 370096397, 301784532, 593329434, 852363231, 711714698, 787822287, 434337915, 152493368, 132734514, 388228301, 709145968, 726983239, 523139762, 768797466, 741788982, 752029251, 684075679, 958927940, 577639504, 944217021, 599841786, 707840487, 248977856, 594454445, 900709692, 467976351, 399766897, 379150375, 607917522, 408334398, 854129910, 619887569, 807290715, 320707811, 549330623, 437307127, 833667633, 943075445, 145485948, 81449846, 928745062, 781275911, 37515882, 950948526, 925455693, 67662739, 762077401, 126687793, 299297581, 720002928, 427858529, 403527296, 982673616, 806118267, 39181325, 81126914, 701223925, 527054232, 477357094, 594426372, 179751606, 324394627, 597846435, 977707861, 746832057, 217609570, 254370142, 117410536, 618146951, 881763355, 823970630, 268544114, 200897891, 443180476, 393233634, 32912048, 263885175, 26709958, 912919408, 814596187, 596847315, 140510290, 867848251, 814987943, 475312984, 885538269, 853418525, 130739000, 280308826, 602266456, 938792077, 308991245, 869648497, 621946378, 943797994, 179675240, 110117178, 41430879, 385218589, 212131683, 369930198, 38140291, 316668078, 624460174, 940497197, 454608013, 833389785, 342236403, 181055820, 493301053, 80215646, 659127078, 45340872, 210618389, 696552416, 837934125, 342997290, 853071954, 734877215, 917544854, 852499446, 254114464, 973800383, 811815065, 108099828, 990819965, 463543612, 530888483, 96638612, 411579764, 934331239, 520287528, 37805397, 921106884, 640426059, 416280003, 912937942, 223176476, 774291540, 814531692, 791424121, 359216579, 111950214, 366505788, 988563424, 295247481, 110137226, 156294890, 419560002, 408577301, 313586169, 550357513, 876308477, 437205835, 79377204, 325471745, 12588973, 114081620, 383433022, 834937520, 409231311, 825526602, 368046298, 400032468, 393909536, 101946552, 540132651, 379797928, 890731502, 857575093, 791295460, 489939814, 89323658, 402991123, 427021515, 709457270, 41336560, 938137497, 301887951, 165545221, 362383210, 810879792, 636549198, 489341040, 823131648, 915984233, 303781349, 479498612, 385001542, 541693676, 573558863, 510891225, 444028533, 889454313, 540363646, 928270717, 88745581, 35929672, 488807567, 447994293, 155494206, 698751037, 298450577, 548885397, 255135343, 667981461, 989740351, 20515178, 401874407, 987571033, 726500474, 571041455, 84540112, 31360380, 310260296, 776215999, 198961617, 417963939, 144956746, 628473133, 772183586, 956822830, 999096513, 43685273, 188445688, 654342728, 589270791, 19297632, 641302262, 188550051, 977227750, 404037387, 169012380, 708262880, 764890124, 855467928, 585262432, 314138860, 366288161, 776621414, 317399983, 844938538, 843064638, 51350869, 375136826, 368803587, 256849950, 919061180, 637721104, 686429659, 400201974, 594623130, 733324199, 119938777, 893355661, 261240180, 943725233, 85372073, 25991337, 109468766, 972467970, 866350374, 133906251, 447989266, 334794415, 256900901, 905952094, 117812741, 220933019, 522344545, 615336554, 26921928, 737757611, 644777445, 319778814, 195153693, 56688377, 912675542, 607989150, 359941448, 426924141, 198326046, 521793884, 610626797, 899273984, 551956070, 860233591, 514946423, 14750699, 786155699, 973917161, 494080151, 649919430, 26479127, 905060380, 418727474, 297174942, 846276599, 327938165, 541235879, 480941781, 90636134, 212672689, 904218174, 143551685, 548377510, 343960900, 33212668, 863546682, 114065982, 999189930, 85082454, 918982387, 656568206, 45636337, 969080868, 217059411, 250798351, 784408324, 884424341, 783340188, 315343412, 193563098, 659735953, 121066460, 650016257, 998679653, 383191728, 612291913, 536058969, 281559985, 446460923, 420342884, 979485752, 695888234, 485554056, 800927383, 585717697, 599539894, 917876401, 425935333, 802314797, 261121982, 585796198, 734136831, 782391497, 521669383, 691406502, 372666024, 56537220, 489598454, 181815522, 582336535, 837892317, 490755172, 558334744, 773718272, 384994013, 984251427, 984679836, 44396218, 710244085, 205938018, 125441107, 249899049, 980373875, 548349804, 415091238, 981065993, 610621714, 93111988, 653339519, 890019947, 789187318, 318823886, 614224585, 633385937, 925582926, 864844172, 7868899, 742202417, 545800947, 561876572, 875578320, 921195004, 931366309, 931275275, 788099939, 417768958, 299851617, 836067526, 790105584, 39692929, 616382255, 98140074, 687177418, 761967952, 772748537, 275315241, 118206894, 619824781, 252652477, 794173579, 186382068, 10723234, 187088429, 414963981, 57333333, 874954463, 412518961, 156763648, 670778434, 340118276, 593541945, 888702329, 829245261, 768173067, 495261498, 599363134, 442116198, 209548962, 157114328, 191145118, 273520023, 521543459, 460745407, 804019667, 669709185, 919926155, 496766140, 394107609, 513190794, 205409200, 290347936, 785662769, 280470876, 600661780, 714026288, 114555845, 800388235, 227407620, 985616086, 153380624, 431848248, 618835904, 466713604, 524410020, 162629189, 556422154, 123282528, 237265904, 728600549, 453960639, 946996998, 126725530, 258892519, 655632965, 411844729, 625879106, 899717627, 321193051, 284821106, 59134746, 208723990, 406193397, 64899581, 277501112, 349323520, 987418542, 560639320, 141917865, 390260102, 101455033, 138984464, 498012351, 982652185, 611842758, 632314569, 283311835, 949015010, 760547535, 953130687, 550659892, 929877931, 359473421, 672262007, 137651174, 474010919, 867041306, 770508769, 204424287, 990063011, 173170699, 394339916, 743592053, 692012165, 550116076, 777700405, 816860400, 967099490, 53486911, 694106671, 198151680, 312070798, 792301040, 352617740, 359823999, 633304835, 241725097, 169276529, 945998733, 618684063, 198166443, 816803088, 283080272, 617690904, 576492605, 578188824, 209324202, 276420259, 841043145, 832328682, 94544538, 118719179, 472245613, 339503332, 175011231, 489384553, 380019973, 358751815, 529196253, 238794070, 607676745, 814855859, 355917580, 996980214, 500731470, 200577529, 260006012, 26657560, 991919687, 294784898, 736175780, 219525471, 637569872, 138966025, 189965450, 867559998, 724256132, 569587683, 175695635, 684850772, 298291560, 812231200, 899045283, 810970786, 286761376, 383402950, 458407692, 930299966, 398095497, 847480246, 431422509, 566428017, 791425006, 130818957, 684618461, 968607979, 618042115, 295303881, 454510298, 563179362, 28870578, 194820456, 568782832, 682979358, 855258783, 78583497, 120494735, 772468593, 227204808, 526472013, 884349547, 952231280, 931281800, 467267741, 653091425, 142902506, 631515518, 253553048, 338079384, 627550829, 76932888, 943051586, 126635481, 500954344, 801682612, 979997221, 643283433, 13698932, 28660680, 441726112, 246449766, 599087994, 287026219, 689661734, 397333955, 949483901, 151018152, 130670962, 582993010, 467929741, 990458999, 528218405, 24211219, 886495033, 344673256, 192842794, 491298802, 302058888, 502537110, 988015671, 491420042, 680424891, 618826640, 226642954, 927551037, 998683274, 892575330, 100849562, 140635788, 50012733, 341035251, 852459121, 108464795, 353575354, 180152314, 635450499, 89918449, 582578237, 318984094, 628506862, 329546412, 611824016, 868686128, 245684142, 867652842, 476617049, 560305432, 628271533, 940401454, 716513579, 473252054, 792790347, 89034853, 455673819, 448349076, 991271869, 327105550, 602993663, 910781760, 245948404, 181902160, 893509760, 802439559, 972008647, 574300880, 849416383, 479694826, 213468710, 686417796, 12131605, 759141647, 673343680, 929768719, 398677744, 230171887, 536229341, 502697225, 8621351, 444608161, 954505555, 320444496, 763608538, 541152835, 754093180, 348261790, 731870876, 297215714, 513582291, 33685032, 945308068, 214179253, 722307252, 494532577, 342070717, 549271982, 678121432, 174626782, 273911249, 198443744, 176441839, 578572123, 283499836, 948559193, 820007248, 777345593, 146463876, 794239644, 411276076, 198687112, 369380238, 234625304, 614278361, 568577000, 929861978, 279832732, 833998916, 887232649, 163297983, 906687402, 221457235, 8196848, 623931127, 812420368, 606172951, 290113567, 283129979, 597980013, 36242679, 903081199, 26738657, 41378097, 662575437, 741675378, 889829968, 288350116, 705852682, 226311698, 170109999, 660407202, 56075760, 43814766, 827412657, 376765311, 661831955, 281993556, 160051272, 319774360, 151301347, 184069574, 982240264, 784741467, 244750084, 618309713, 564069246, 307846258, 700893594, 106386154, 941471149, 464414105, 778073539, 769283539, 3763418, 580817187, 437744161, 151350776, 309962724, 557210490, 191442566, 553664640, 35241531, 244878978, 581571292, 922390607, 100939814, 232335133, 229638070, 412208733, 146578803, 913949773, 14029973, 730579429, 520278699, 729811993, 545322699, 440166877, 582515703, 565588988, 130618091, 372864829, 232394494, 348115471, 506460365, 599819717, 135669236, 603693565, 786042117, 111167478, 265267581, 42618303, 8284606, 233792584, 866084623, 49927977, 911140656, 449105107, 643123591, 687395818, 532818270, 689787965, 790340589, 755500740, 48818335, 196865366, 413225471, 396125602, 118780422, 942775087, 595993221, 850156181, 542511697, 959505827, 668010806, 446265171, 731612981, 621407556, 351925506, 652542430, 450549982, 899159930, 40275843, 719902455, 916579810, 48003508, 185006249, 545000289, 508807244, 492022468, 215760334, 847561596, 257239832, 307116450, 6635172, 964773198, 529186330, 840943613, 768013422, 619013824, 505897222, 766105844, 841605557, 484130869, 233569649, 916450692, 376755377, 479426177, 700999389, 53907425, 597054039, 215568397, 620654148, 446264637, 22768052, 134699762, 740678283, 700172819, 523754930, 294118369, 628362335, 392483255, 131631585, 85480732, 305983558, 809282938, 513706258, 303391000, 446476712, 776161599, 915611511, 201467652, 143115152, 626091712, 112487937, 952711908, 172869051, 451301594, 362766179, 242973290, 393353834, 42778944, 654637361, 777266430, 632176682, 990433001, 713784885, 263688680, 284520555, 737811258, 224396004, 197808097, 341480987, 881277109, 975537957, 544704402, 78626213, 100125785, 131586059, 979527441, 623791799, 228831939, 974705152, 368335886, 202810047, 869593497, 643604524, 696160398, 891428634, 164292548, 898212469, 111586326, 859013929, 696000410, 318421120, 898674055, 497806398, 814066756, 834522674, 357888468, 816841562, 211728407, 702680887, 874222899, 238700034, 421065613, 54581, 681152962, 876568723, 285497070, 329623789, 75975532, 920867244, 251148866, 681414139, 957853167, 244914221, 752228579, 279339488, 749666579, 388249400, 4801154, 78712371, 354388024, 242310714, 735109332, 935100651, 795591037, 633980401, 329092036, 282510854, 440041810, 705635003, 936183632, 256236473, 578547139, 161836620, 940234184, 398847610, 33611306, 965471222, 381623886, 955201404, 259720576, 939499629, 643399769, 164048277, 304481041, 400817342, 594069941, 95186122, 657805226, 629679545, 836358435, 881607500, 120267799, 171431270, 696611255, 646038085, 424259836, 109764682, 542153748, 93789679, 724228038, 705852733, 217642123, 446402304, 491951158, 980474347, 708377586, 842372511, 976882548, 432496085, 267659998, 822594553, 130916915, 5134118, 356509195, 263898477, 110999291, 297873854, 355324409, 163011428, 559408446, 99435658, 78131107, 231995598, 815207977, 897258097, 839188204, 784000383, 159108332, 696359633, 50932674, 110776450, 466407712, 952209160, 828860074, 47546523, 891243967, 252519533, 164877954, 381444813, 491867704, 791304451, 17331092, 964255464, 668213815, 871275306, 873264764, 593039755, 187112222, 343064180, 542773845, 264582860, 660393043, 647601005, 776194456, 896998029, 989291709, 113474139, 88662129, 769505031, 482152702, 833393927, 355844506, 894417858, 292492921, 87604666, 902012321, 586207225, 501646501, 981754779, 502288558, 877379895, 706413168, 576148970, 410578235, 20945747, 989181350, 17602072, 683196311, 188584409, 131982612, 978220697, 306486586, 759703963, 144768016, 365980024, 65320353, 799275979, 92406049, 998675190, 338575038, 920898466, 53836609, 968526252, 853152894, 789501549, 414800251, 771545069, 23458685, 639828234, 500157268, 856064389, 316425486, 740406692, 200040871, 83306361, 536199447, 262281238, 267492277, 855876600, 372826863, 921586054, 962690980, 332166512, 846311021, 208139679, 968877624, 900835663, 526083887, 936151061, 58566586, 865214042, 189345854, 42569812, 962868930, 905358820, 701685172, 447789891, 902949797, 415618356, 282859584, 650268084, 8580589, 411700698, 666725777, 668158529, 104897449, 896537086, 488498362, 768907014, 807105438, 356068079, 385921172, 60483201, 174599726, 697904490, 626152102, 625759667, 945859656, 933388664, 566902118, 530910643, 535038847, 535951233, 758715057, 672129773, 898138443, 46515879, 180988489, 713885754, 409614037, 904997139, 622838313, 361280318, 139586565, 805605129, 41162927, 841603864, 112220197, 986753209, 960244374, 728915396, 474392390, 426945710, 634225484, 964830741, 429334280, 97755248, 106752260, 852793020, 976235925, 295065926, 825804272, 415663815, 431893425, 636849261, 727164446, 598380132, 345053103, 455043602, 775522277, 321665020, 742300155, 169443938, 488823775, 203696483, 75850661, 392404870, 591138159, 349384546, 387939524, 11825507, 930571331, 426634776, 680474276, 59946238, 201287729, 292570, 894720462, 345091225, 995739924, 746161431, 912848934, 557137626, 196809404, 835035144, 35619532, 974242760, 592392653, 863278427, 19959589, 286505553, 959675261, 715976838, 182025071, 620280942, 450656400, 638674780, 80528605, 530312303, 4128717, 409664605, 796178829, 414779144, 6030155, 761645867, 35248316, 964474520, 910906170, 268552509, 998034551, 884625023, 3009414, 342066015, 340353639, 161064763, 994890192, 166831059, 621435399, 625304861, 518291640, 557128863, 446249797, 57288599, 152426741, 348092660, 787332614, 809693333, 511269214, 351901108, 944629385, 875581607, 592461905, 121901661, 760211342, 639602791, 959313310, 929319598, 487022892, 603282233, 894982964, 770683677, 628888089, 759460265, 135638920, 121279303, 428917572, 930555972, 21832857, 712376596, 721944545, 586357821, 594600467, 774164215, 649113424, 2414758, 232212123, 3944493, 467426076, 521470628, 995071724, 512231976, 684765594, 247706270, 300585372, 191150210, 449348711, 986573883, 861011457, 215489592, 25705599, 354527756, 900779411, 958352047, 602167790, 989148488, 756985814, 220859629, 19092827, 350932159, 281875443, 545206440, 12865966, 259580504, 432160769, 121654297, 264983790, 501681741, 917960333, 848601766, 163753074, 384446515, 630146161, 211261683, 264531719, 964161482, 394331624, 863397641, 754018903, 21223153, 892687164, 541096705, 887768692, 24463639, 586500507, 637641921, 708831194, 656192636, 655836254, 651099107, 307302717, 812817593, 71808166, 961531667, 481937901, 446164337, 752855343, 371967589, 973987233, 354413351, 522229860, 902204682, 767069940, 965870175, 966880049, 407881245, 780805914, 674811574, 91140507, 994188165, 732896392, 891802091, 158572499, 857223349, 287637819, 986750608, 623374724, 376166470, 950447278, 904412069, 840955386, 401040676, 30513266, 968937242, 953271139, 375372042, 550583618, 562196031, 11916909, 321064846, 562063521, 659899177, 855458794, 97125243, 183133820, 625483434, 149876836, 892305894, 698214810, 670574053, 759144613, 860249775, 799085495, 511329745, 683228791, 798773339, 985665847, 486195449, 35760099, 457314137, 432876689, 128661931, 566801794, 8669810, 489015798, 432577431, 967334461, 988562663, 428296866, 253609377, 626285956, 63799772, 91401723, 713874260, 27688639, 532659291, 253804246, 320566373, 481349217, 774296015, 205418279, 668154756, 686663195, 160111065, 702289077, 384849788, 554419790, 10665826, 907933946, 77613660, 572559725, 502014564, 557192130, 141557761, 709364920, 517389599, 814216513, 447442480, 506846217, 870221089, 125197552, 150325807, 262592179, 506511418, 135061498, 477280673, 740807876, 273773181, 642724083, 314114600, 593756644, 90991288, 853624163, 294179489, 448501554, 665893775, 467779444, 718626157, 404790335, 987039675, 708486901, 970122582, 101432605, 509356055, 501575755, 2563587, 236884014, 908163194, 115523961, 19307673, 842130071, 453858342, 947561791, 656503425, 790588642, 706334271, 215151268, 21285842, 416751109, 985340660, 310289405, 653431282, 501585611, 274181187, 899423229, 748337790, 157178486, 500493615, 270986535, 900485172, 653911191, 320367950, 931052248, 201170969, 554894802, 26300819, 777947238, 498368070, 200020178, 536502490, 82201567, 594930838, 997168827, 977877337, 517137844, 833697582, 180074720, 690381186, 745339479, 364247996, 865682377, 514915225, 179906767, 532890384, 304094368, 248612046, 294792219, 833121134, 550428759, 305328370, 701982542, 301052734, 43851237, 307291628, 973874210, 918700840, 346348197, 796604574, 460052835, 893496414, 505179361, 780071430, 402878401, 171469672, 942128267, 377639456, 253858839, 830942035, 964214713, 458806493, 473632631, 981081405, 922642864, 295549351, 678430230, 914102422, 509611926, 673829145, 627984628, 635600513, 709754968, 290786731, 989744342, 950365514, 766903751, 875964010, 247747342, 192108339, 308274524, 182263423, 562107454, 141241451, 156198738, 425937800, 224086285, 914288065, 404610570, 851852936, 512910205, 43222368, 878034169, 138243509, 938038233, 410478860, 270819312, 264971617, 521702342, 508265327, 584474265, 681247831, 984288181, 172974387, 272581074, 1353079, 805427009, 484659550, 266372693, 633505277, 536132958, 304533156, 948486152, 683118565, 764604085, 805185808, 470262646, 468260655, 475248120, 287633800, 468533733, 258984448, 459073886, 706767891, 236223445, 175585499, 764874224, 942725468, 562574909, 605406847, 887007795, 685272206, 423120220, 137422838, 492249852, 854647241, 198869029, 522582948, 659430846, 917506212, 400306500, 221109888, 341616335, 360738075, 194576435, 169001618, 531509871, 250853688, 324980221, 456714738, 588019672, 495029531, 845713805, 168510951, 978648511, 500666992, 935600802, 762702298, 341328805, 891673763, 301395736, 264730296, 18515792, 484386422, 84127533, 945270089, 640392530, 33969145, 66348030, 204224550, 102584800, 941044349, 131168486, 862882976, 626330819, 459187126, 595521113, 639637110, 173520802, 602440711, 464637515, 143350828, 574873994, 220125693, 613920077, 823042421, 961302344, 793300569, 899578075, 476509459, 323880712, 683293263, 202808518, 585403016, 326329579, 506019079, 518710214, 582497911, 31641984, 920877767, 888450444, 18279944, 48845127, 388522338, 156375295, 685914448, 858397861, 655355569, 80582599, 191712976, 164309889, 142186957, 943803451, 663914691, 646457243, 970009725, 354737149, 417271195, 560883913, 849007805, 838228256, 149440714, 300893149, 59920171, 930281672, 772235928, 242922802, 748561393, 505300356, 129374686, 176169178, 314148666, 739272254, 504761119, 916198290, 653125549, 558384527, 519094754, 258306202, 114719999, 659808559, 8954796, 645212490, 790321989, 158432393, 181222855, 582573524, 347402695, 699753381, 442359487, 359750256, 508747627, 398594543, 870387256, 963415522, 724574928, 653436174, 414480107, 721490191, 889185828, 906219250, 568782816, 537589789, 716532175, 546722697, 777643945, 852130035, 468860539, 7136281, 170526545, 885543856, 82783488, 960449022, 836992151, 514040329, 829975974, 318417595, 641513350, 302678673, 59545782, 42738923, 774542038, 905581919, 419940574, 675426138, 989452754, 385822280, 23332060, 503843889, 739527422, 505868863, 699260049, 188052797, 14161944, 196425888, 974356665, 123482602, 108328254, 87491, 209036214, 587899317, 960678588, 409254501, 165524498, 875497777, 419471823, 384892271, 238034757, 563228577, 235429391, 176675284, 241532658, 19271968, 655004281, 667824195, 910879418, 256305800, 161519927, 396332921, 169550176, 552596823, 369756125, 141390563, 30165568, 980367986, 159807501, 788538051, 24076561, 926637406, 961751216, 324039683, 561135398, 656064151, 897044598, 600511976, 454395708, 205200052, 423051082, 395475821, 845123549, 754290907, 648933244, 158288834, 814191034, 130171591, 195892347, 168525314, 703382543, 997089887, 914834348, 40712576, 427385412, 732430090, 356998681, 55673321, 524723219, 663416841, 564219561, 564840225, 79696385, 556073553, 707208933, 904866516, 280555765, 818083286, 991137230, 824498864, 688568314, 170313710, 515672966, 159115569, 368665922, 781463703, 308637530, 851713997, 31192882, 209788821, 784732418, 673355249, 105154249, 288939922, 291972898, 896421883, 592236738, 706378062, 451867015, 217051569, 292049552, 435396117, 490839926, 779589312, 46507405, 365809494, 852138828, 332718164, 264344949, 907713277, 902999529, 340981875, 992573993, 432887883, 763008077, 540261798, 290691367, 577532090, 180110254, 708922303, 301164153, 328183624, 350475206, 132326927, 563926674, 199917935, 876860122, 876944200, 345798994, 941988910, 967920288, 660162865, 705579271, 239829252, 512245670, 504420813, 822998846, 503533036, 735456800, 31553207, 949425823, 925406174, 684600317, 961678582, 315635977, 451562628, 265510105, 914414632, 749077481, 183981963, 876324458, 594709151, 2415680, 292759144, 221872720, 842964836, 21108827, 929370588, 951935151, 491465769, 188984185, 21789713, 35819677, 799353867, 151215135, 731521792, 183685205, 952687401, 128692770, 953799857, 194612277, 941157061, 535039276, 917931754, 628618722, 534010640, 195685479, 678036431, 467654065, 693847026, 623920989, 742239644, 783326200, 155021930, 711597468, 980106776, 946672526, 179347347, 243721669, 729943923, 155539334, 131500514, 790593009, 169118489, 257009110, 941886483, 446374905, 497385096, 946380366, 725922536, 395095751, 347493276, 972709897, 360229347, 509544962, 525716197, 350361286, 801728928, 118222608, 33113604, 331217478, 444729392, 593230458, 30719189, 433945225, 899385744, 970325010, 813441208, 706390394, 289831299, 861526262, 11998444, 397164252, 848342039, 543245963, 795138065, 399173680, 705074570, 720739547, 278453088, 285185252, 978351894, 59235513, 91750329, 526182231, 25717729, 277883658, 570883659, 111504956, 751345022, 311887111, 387426878, 305247972, 697111263, 820019424, 549168345, 727937903, 409448308, 871266275, 824153472, 216373083, 191211148, 448842413, 444892338, 907140569, 135480380, 121359849, 76328556, 157574604, 901204338, 383863570, 274362722, 592825990, 605671360, 821281508, 49809865, 57744112, 204234285, 735643129, 638923501, 440086792, 709316029, 498926061, 309698225, 560778870, 467769445, 787278636, 17572327, 594392990, 893293763, 670029764, 484477221, 214091117, 753398345, 525451993, 853262702, 127000233, 853471665, 847719135, 439661331, 60562497, 446341768, 990186659, 729298241, 821428284, 432415196, 320514917, 787195136, 824530040, 939554800, 572021302, 264844651, 87550257, 143559288, 641214401, 961704, 271292539, 546329987, 759918532, 824700895, 657950775, 376517340, 136815401, 590783699, 299981013, 889112214, 622831227, 647886225, 945713028, 556087155, 201629127, 703991759, 49674453, 950573617, 920036148, 934861798, 559181277, 176690109, 56644415, 723936341, 40711908, 842650839, 437335441, 312761762, 45733749, 702891371, 592721051, 779314059, 755279408, 707351199, 995477445, 35627566, 275777431, 651906209, 707325827, 314246581, 366587832, 436452577, 385943554, 244764218, 196307856, 749134716, 448204136, 672500824, 875285195, 988257381, 501556942, 425235210, 251132430, 212561451, 363780744, 779626108, 474867596, 438935631, 671036210, 642217212, 808293878, 651218474, 595273753, 471795150, 991634381, 623073862, 714222408, 712361641, 104696774, 138284603, 64215301, 584356429, 767079497, 538805848, 756678304, 631660685, 751535754, 277929961, 196101126, 540771616, 921335378, 575394998, 626149682, 29831438, 528530805, 688473265, 65373099, 393867352, 719021064, 933636066, 278215282, 793601014, 207154299, 994201093, 687435040, 714420099, 61542852, 134559643, 336167506, 712632555, 808916300, 84174198, 367113856, 90690961, 906283671, 545347122, 290794013, 81473713, 824921536, 585082274, 762958943, 819865035, 97716948, 882138458, 177039546, 302292373, 876255621, 13656249, 686378188, 776733755, 646303364, 265037697, 418882722, 934621415, 59455839, 770993104, 690374845, 620860486, 306800565, 102638956, 249114117, 1361679, 655571951, 363732675, 771313247, 587541758, 472950018, 352561537, 438972128, 815825057, 659185329, 231460909, 778161189, 338383234, 331073880, 243888299, 845474066, 692722367, 684926257, 107259986, 726046672, 297000078, 525324147, 588737211, 367206117, 930221753, 682655152, 930229397, 404293378, 318364357, 166218879, 668737992, 560275055, 71067837, 259370899, 836904130, 258163394, 977687649, 206948815, 144271242, 125593593, 681725171, 12730137, 618231856, 8053600, 871570189, 98121064, 797963164, 988867746, 875466438, 435963767, 915037950, 240452333, 597690992, 51257336, 201397400, 444915041, 768969298, 984183653, 51104147, 393013678, 902940549, 674031514, 599027441, 750508791, 363746870, 925920449, 247735641, 426063428, 898000847, 829983881, 562285827, 783447218, 64299320, 288735473, 461458924, 883758583, 617924646, 695380609, 426529013, 780856479, 540668202, 304055968, 433442878, 712210496, 560521401, 820321122, 481086660, 201463147, 373752564, 884526811, 626075310, 19089338, 948867750, 426303328, 230835011, 763132673, 692611124, 785798525, 705531397, 529357762, 564879972, 638215764, 151733868, 510779198, 315740785, 924116968, 587219043, 79446640, 213890462, 231617374, 964891684, 889791689, 668640466, 88550267, 47048711, 443436133, 62733678, 684990526, 289513450, 724123189, 433652105, 226738259, 831821741, 647409553, 998982203, 873852795, 242194410, 688438769, 869360118, 484237129, 155625306, 405586887, 207615877, 498835533, 898959378, 578215941, 230344009, 637230669, 746545734, 857648034, 112222274, 272179815, 547745844, 883604447, 621742824, 54555314, 455834807, 186728529, 136949635, 509063068, 58899286, 111694648, 486509872, 280536314, 888338957, 564037031, 194273036, 770959681, 767353351, 580785982, 289136155, 351758724, 319853571, 892756894, 23988993, 867831183, 953150149, 22164904, 264858929, 203518089, 590008073, 335875412, 282954212, 108700567, 211439667, 794484573, 576085612, 144725404, 519497181, 504422927, 591893887, 3425973, 57504124, 358897482, 903470466, 708298948, 143835130, 282858492, 194083521, 959758225, 960257393, 679072579, 631313489, 999537349, 543878193, 101215271, 331641824, 148813252, 504390411, 593966374, 130352330, 752807454, 647101776, 820029754, 596217715, 983282518, 227345236, 371080203, 39045450, 577253641, 867539365, 551223588, 744180110, 887942973, 778989696, 658344192, 671216812, 101931662, 980573371, 864688771, 332148935, 493406879, 912643998, 110067830, 471796640, 841582894, 886229398, 574154832, 197682510, 212953097, 763492600, 766751726, 840345676, 720958612, 643531644, 637509544, 529331794, 899771987, 840641903, 153724109, 78385266, 839140131, 610645360, 164629148, 642749208, 4421027, 69807590, 23360852, 7020035, 877177343, 108416780, 143386496, 758121575, 881384844, 808508244, 275046481, 422103057, 917292140, 567288480, 267152205, 786655659, 186847654, 665848783, 120604507, 704446652, 909240930, 766275756, 923307169, 710809031, 502746171, 977398420, 417918142, 248303999, 371910201, 732799234, 168416168, 875418307, 582348645, 361637032, 545559979, 401642261, 534123380, 263497778, 521433608, 224845182, 340703130, 907360572, 96185174, 559034378, 584161819, 634989208, 977895406, 163334175, 32301740, 166986686, 766896875, 277741173, 561001873, 943679277, 200736151, 264145803, 747836643, 792980288, 546009057, 499732409, 40715069, 50695203, 565799502, 828652882, 506868534, 233381541, 384550692, 993152294, 795961362, 337284145, 666587260, 289816126, 865918503, 184638132, 576476971, 855766564, 588908155, 396128143, 502396401, 827906009, 904161006, 382384696, 861715844, 132742897, 28024347, 514334491, 614845196, 181999113, 212267557, 208005134, 217249677, 962224102, 772558263, 455268895, 579124267, 148065825, 77777428, 765597927, 919213579, 473532652, 703363566, 745429475, 725888791, 130863808, 76317777, 8437889, 686004386, 337404769, 126267359, 358003748, 400393510, 213467185, 256601769, 841775526, 26665688, 398269704, 120445415, 871095602, 313473180, 735577060, 814897881, 575936677, 901658947, 666598941, 855209966, 938541398, 641652983, 558279227, 68416213, 669858067, 774856151, 559025074, 386415435, 238206531, 51581719, 979897606, 970094486, 349945294, 127827951, 682965401, 332498847, 875467006, 485962539, 290592472, 73213353, 30420750, 30994305, 84277410, 245847874, 350635120, 216732562, 425032605, 910795465, 528276986, 23436768, 465001414, 490505886, 237810766, 479041335, 838368902, 102583395, 323441246, 891864073, 683806601, 136608862, 187436937, 382450689, 94924978, 362251654, 969652987, 401558242, 148807841, 381861825, 684119775, 168347410, 862425263, 394537128, 129602549, 197847870, 978137206, 83817114, 453898620, 955855594, 905276256, 913200900, 589482767, 213136797, 126106883, 564645837, 994350457, 512970598, 237933079, 401004099, 682008451, 769178203, 337849359, 921681489, 417898096, 323839044, 623823174, 85723008, 634068222, 153318662, 136744616, 534625271, 923798641, 342620643, 569799860, 135289623, 281933255, 138921049, 984712248, 904251677, 468017258, 104435268, 54467199, 596535401, 855806457, 948255271, 453634040, 767376716, 864304711, 20895929, 249203434, 825573596, 554395363, 42363227, 742590674, 359287752, 301161333, 812112098, 456346329, 267269692, 782975027, 593850297, 774286012, 223156356, 219999678, 636023742, 954353006, 264700885, 74592620, 9306340, 978875130, 607013509, 572794344, 737590354, 840018898, 345948514, 789047865, 590810027, 522150694, 751470921, 514333725, 282410251, 209692242, 145746425, 21696467, 366057517, 616715532, 10417841, 914078277, 895144716, 276778205, 610426832, 211457085, 810541046, 204825452, 268969612, 492814793, 481710984, 486257420, 293018120, 635094922, 850147771, 616242522, 199004439, 606207999, 987778471, 102343084, 288918600, 705064550, 617382795, 645185193, 644183054, 279972916, 319226118, 560948983, 942375225, 147172918, 172981200, 839474244, 893903042, 72761109, 982514472, 416665095, 743892418, 206139727, 804809438, 263497802, 343237104, 179378397, 486746157, 839942908, 275217159, 532092094, 353897692, 848255469, 385506512, 301839227, 640979296, 446511670, 459279365, 868955420, 815026528, 993110298, 667834189, 125797590, 973267361, 591835244, 144406088, 639364945, 494750170, 222999574, 923995566, 286716235, 662902511, 269082009, 69968867, 364116727, 702367426, 669263622, 598757742, 176660374, 115892541, 527588488, 266123971, 691785196, 509634063, 951518663, 170071456, 975194410, 50622651, 411512883, 59670512, 367652545, 460068608, 217584506, 736213512, 548359003, 826829117, 411004938, 614944882, 913024192, 284329730, 595368049, 429886751, 729973594, 32152604, 796303530, 924245042, 126752684, 7576568, 618616671, 427149452, 944720644, 869613289, 993652463, 756624274, 335458295, 917416480, 22087514, 639889384, 191755521, 407910528, 657353823, 913130230, 114044139, 750872955, 330146788, 645420827, 460095164, 867425183, 536744238, 905903550, 53026344, 678730915, 345580173, 752823115, 948346113, 858452647, 768253890, 975913750, 806033642, 517887012, 253572862, 733835084, 479393634, 856753266, 86549889, 145988337, 124512547, 869625834, 625218842, 184703371, 868299878, 12127038, 980280681, 142925750, 198201609, 702181022, 887150684, 900888333, 687973213, 107868854, 423695358, 162376663, 128647083, 893492704, 127624858, 2237705, 534380460, 624884813, 283406942, 256226786, 907060801, 418055396, 399633442, 784165780, 749779977, 418559083, 299348072, 107750855, 265471494, 379201738, 249284609, 637562724, 88886506, 502024313, 943292346, 651542483, 373803631, 932440516, 652257982, 268479754, 958516031, 447813301, 753396471, 821791096, 686529212, 776584730, 30838080, 252875776, 114630461, 993470059, 104045743, 245573819, 621700203, 100000597, 35405656, 463482677, 754876259, 738876608, 99301486, 426620328, 196980577, 298423183, 484982255, 840507404, 390064205, 7516910, 810682321, 279064637, 220520230, 452273319, 76657611, 885431741, 990023977, 645344195, 633702472, 336463253, 441053010, 467175097, 880764478, 778467388, 510579257, 381848780, 651388414, 360255611, 524323964, 420676763, 261321206, 147830082, 464845052, 382651053, 599404904, 528131057, 997545268, 107825578, 946379193, 721486320, 95698601, 545426131, 703343450, 501727882, 948923279, 40889905, 454114101, 423876743, 907342258, 855496298, 131051661, 224213928, 298280693, 271473571, 787717550, 238303505, 771113048, 558740694, 886495008, 876193924, 730651202, 328057486, 2570045, 230239227, 472616878, 903704852, 316239340, 549306609, 825012922, 179050315, 379029791, 226700157, 688619762, 682127999, 435172760, 295337115, 299740176, 33091827, 231368819, 737662927, 176981076, 518578681, 629760355, 383403231, 921001854, 122745255, 350841562, 783406485, 65044239, 229063536, 116669357, 474162451, 993863307, 10591769, 228725271, 252229427, 811243155, 248023718, 43476370, 366293819, 224912789, 496739875, 119836100, 716808823, 86750966, 591768774, 750654567, 827798010, 594618620, 139543045, 285111750, 993944687, 871777310, 529263520, 2491444, 350737731, 410145280, 366086615, 331584697, 255829950, 563047200, 281712479, 99878733, 788877707, 499602114, 394042971, 314369216, 495280652, 611555499, 41598963, 639588275, 683531562, 914633713, 939063768, 883301847, 270171361, 742300925, 828725969, 675676351, 896288257, 599029718, 92310751, 190625661, 741571778, 536075373, 350286997, 438083707, 751720509, 176981295, 838155610, 101136691, 676811360, 557080919, 233661205, 267771228, 66159654, 960114060, 408258012, 344602266, 405975422, 853679131, 505189221, 595828048, 602373072, 865814659, 824318709, 993512594, 198841049, 588764895, 242390758, 917728097, 191728159, 228072236, 818047093, 911125829, 707988218, 855232458, 257103194, 409433506, 737016235, 657751438, 158388726, 565286151, 336872084, 578728743, 363890951, 196555643, 213470895, 129687054, 376524078, 192754732, 309027010, 245996320, 942849248, 663685761, 958781227, 891860935, 230654850, 681472496, 290676036, 183914244, 515324247, 782387978, 133752198, 251748198, 575626797, 4744706, 981225537, 492109551, 472034976, 276080935, 798196651, 184202960, 734028736, 165849428, 668204662, 406669073, 958889704, 447856431, 687151444, 301833304, 22293577, 416462780, 611246981, 484354792, 380016147, 734627360, 912126177, 608825541, 799283595, 202746384, 679174304, 75122989, 727078983, 530207873, 853087953, 733467992, 580437748, 241683407, 24436740, 195380892, 64726197, 959669596, 203532967, 372751273, 190414363, 371421388, 819483556, 949681580, 644798924, 489058664, 195157903, 621337400, 22943410, 623248722, 335274653, 531735764, 843565416, 458375156, 214713216, 660247216, 990050864, 547012690, 495265582, 415733524, 172230384, 381253795, 913916854, 25046539, 564656670, 339507523, 666849790, 932093525, 580500555, 398583249, 507285244, 40213039, 896521978, 679784543, 610415588, 360346220, 963596874, 764341214, 166507994, 583381648, 913451685, 910228806, 70016110, 146181806, 656561171, 877490613, 470785767, 240757135, 351003919, 933492685, 129973319, 612760171, 685945234, 936316955, 157209987, 167322790, 475270432, 661852068, 40760522, 321160632, 490220187, 654616977, 780974074, 990358749, 633694834, 833875007, 821462137, 226792602, 33270772, 975024790, 914839843, 172085404, 505012305, 669314513, 441268005, 269149629, 25437352, 388918471, 725035515, 595547836, 712909482, 327248841, 324084760, 732018024, 779231850, 422202330, 839776314, 313238497, 945856090, 191419340, 714748912, 330975748, 376824936, 943856371, 55301267, 78130381, 742146555, 940377222, 728085421, 241170881, 996278675, 64033377, 126502693, 378094133, 4191570, 785515694, 329574009, 296919026, 368902403, 643790918, 34741782, 919236768, 145945153, 660958952, 469759148, 970699236, 193173827, 481858074, 842124486, 70196283, 928025070, 481406598, 567181290, 539415305, 100992833, 428202222, 541855117, 763076202, 15918991, 605057282, 99973347, 508169594, 91993775, 59313774, 810641134, 93397806, 663675399, 695801249, 501086788, 874329454, 552686942, 392797584, 43819161, 712866330, 64460756, 931774556, 23909248, 246079665, 666648074, 886365491, 287020519, 595845193, 208120248, 746526051, 727757584, 425410708, 128954719, 469320168, 958471650, 201012359, 820967521, 729957117, 142035133, 312001085, 348573255, 780642124, 699136244, 477438, 91016521, 533043217, 861272074, 429765267, 140984885, 846583794, 29263049, 672757588, 677799486, 348995735, 365953335, 992684125, 205460549, 672660935, 869693663, 48706690, 807798182, 713409265, 220670137, 963434275, 165584667, 179727103, 876165411, 631444513, 217173822, 174068266, 812025033, 966664255, 646825441, 502779315, 630642929, 323480221, 163263983, 227741391, 810848055, 995202920, 446789761, 455292839, 554944695, 573330805, 272458145, 278413775, 403991316, 229026251, 578854845, 261859311, 168782187, 367565029, 239488473, 772902537, 946032907, 881297287, 532867217, 979536, 495996350, 170441496, 369662252, 683323261, 605505351, 846048365, 681988554, 201363734, 553837201, 374503957, 497047332, 555162585, 447118438, 93983070, 742345346, 416909861, 13186265, 655924110, 559490987, 847530705, 986558911, 477360381, 877531297, 998011222, 101997728, 674850970, 648571724, 259556387, 662460750, 86215258, 267201454, 659290731, 196065039, 713635003, 576493323, 56255900, 722184793, 539578902, 712457532, 325252535, 727052093, 545660196, 348011169, 684527121, 365305796, 491247205, 504244792, 748991041, 865933157, 928869790, 38824884, 545969702, 238119302, 308651504, 586957397, 27003841, 354121134, 284977856, 690125034, 551936449, 196959648, 856472947, 705930283, 832274196, 516247611, 137851558, 109749826, 564029660, 536657965, 623263170, 132926658, 958615932, 77223619, 790122672, 462791798, 995851766, 809082654, 391876570, 399296975, 73170126, 564239025, 236032980, 31996854, 504862092, 653309606, 402967218, 208314652, 564014667, 381441131, 919722024, 45277253, 406524165, 126547565, 679260126, 183900673, 588836463, 192900873, 465866748, 429975321, 834400891, 2709735, 46576728, 227645947, 420641123, 578687345, 508734750, 890573014, 994353411, 791276017, 841177987, 973663552, 731386841, 678696775, 279550220, 117518211, 65991158, 777610701, 52182721, 908898233, 939443823, 97165342, 836858550, 984967036, 70138757, 154158881, 367194647, 670377646, 742957068, 711806840, 378483531, 138259937, 249400102, 916979392, 284658703, 150219237, 178124802, 308605545, 558079398, 775294834, 471978839, 717383227, 690660851, 328198071, 65588488, 174063478, 617930904, 297507530, 748311724, 340268090, 982678211, 974493045, 670825499, 742975792, 267949660, 728312619, 285184117, 955587905, 613859533, 392613559, 690436128, 206482246, 2620614, 266996771, 439780760, 814225429, 236102582, 563020650, 583993674, 417117914, 539876842, 287465989, 312956006, 191898225, 682347642, 186348032, 738100573, 74250351, 310962675, 278173500, 26277619, 562593629, 98906068, 18524546, 461440557, 808930329, 652659940, 446502945, 977922529, 626190905, 307175651, 410927850, 638141659, 546777600, 568938130, 869950638, 984583110, 862123711, 366962939, 323418150, 891823892, 886174797, 72681806, 754973795, 857640166, 977371435, 666589443, 982351207, 611142023, 430424743, 898117185, 109834790, 505344709, 665584980, 142915231, 437938791, 351735644, 359568051, 423774480, 6993992, 573096669, 119084755, 321679538, 578402076, 859483582, 734392267, 553355427, 729622436, 698468334, 702995230, 249375369, 629324803, 975130992, 700810792, 763506525, 366135890, 283501465, 966224214, 786096919, 706201229, 142799901, 130011144, 785029656, 365861145, 191448398, 114212590, 56662468, 732047856, 879855790, 991391731, 446775589, 728363071, 672806603, 311922830, 116797573, 945798072, 209626938, 5768610, 195712452, 674470566, 287479903, 448418710, 689257371, 286618423, 349748598, 204060902, 800285695, 116176169, 745279582, 429016182, 577449011, 788569180, 350074207, 356785891, 788567881, 785667052, 43542200, 480488796, 249669200, 105136237, 544600816, 868520580, 395588414, 854839876, 756539574, 228655548, 513009979, 213197658, 505255834, 416624999, 139920008, 809601338, 299175112, 79071848, 242175475, 98353076, 559975524, 286423143, 261250023, 732019233, 498978537, 61547648, 907239492, 985299253, 823428249, 888020510, 840354925, 152693989, 731183523, 151394998, 588927556, 396673454, 952504161, 266679048, 716063050, 980866322, 285869290, 898620073, 783572920, 742510239, 979277325, 117279074, 996939203, 14083716, 88780471, 508373183, 86949684, 700714485, 352219233, 676018866, 362905907, 693996701, 352509690, 873693881, 453350373, 662600963, 201915154, 750259490, 980342462, 373432001, 755221048, 494867575, 294395799, 459872352, 110887653, 325028922, 930857073, 359537548, 248488991, 122788110, 897009353, 434597644, 953240577, 58968576, 60702228, 851818058, 539430818, 878625361, 930836394, 907127584, 256582084, 239390735, 713797461, 494598528, 389254308, 512434124, 953770806, 463683548, 727290855, 543846469, 241562910, 919747212, 107438618, 571297294, 608177854, 968187599, 449800925, 665613826, 589680529, 298816103, 941600680, 415710728, 844773557, 959409068, 944495499, 751928206, 662509163, 521705053, 995173179, 681505678, 130104027, 307499614, 378472544, 32294738, 809755369, 663014837, 81569241, 710249283, 366459629, 499871569, 438015740, 470492309, 225828636, 379015622, 632696719, 980342250, 739693138, 708635066, 671824092, 114670939, 622178303, 895705227, 458574527, 330284024, 976947197, 282346755, 576486025, 733893824, 479488271, 750441276, 354967133, 479628779, 634488686, 350267066, 458881962, 871220161, 241438735, 201711325, 553259521, 444702021, 88967059, 998693553, 984089323, 2196082, 543723663, 309150785, 2353438, 629405631, 436342925, 172369131, 880907432, 86310585, 415632227, 602139888, 576047200, 717026936, 410764830, 48591011, 865639470, 996484319, 593871761, 398468117, 50323804, 730540055, 234745603, 366990334, 853383922, 974742216, 973715461, 731593811, 595674323, 841240410, 682458803, 5757778, 810488681, 872549731, 942352187, 830163596, 399478896, 903417258, 514208885, 208262328, 835452910, 609724829, 494419568, 520695658, 523006950, 421557985, 3408411, 997528956, 550194624, 550538727, 535818264, 345670751, 599021791, 776593644, 815173283, 247520310, 259026791, 311633640, 330543047, 661493524, 550886001, 411938486, 766744312, 521584070, 191096199, 38646782, 640211525, 425406649, 475772529, 670564288, 907022792, 586948435, 764530211, 611912551, 550173782, 517979912, 249187556, 832355672, 75616042, 210491707, 813634873, 547394444, 443297623, 171233823, 228661702, 322483718, 700021223, 733981902, 651338624, 809493543, 495330623, 895103305, 792339232, 306252492, 203743619, 223791521, 116693115, 688511101, 253276052, 900489452, 913468638, 556535228, 38654450, 920169815, 21788919, 123487147, 124179193, 222191687, 145123324, 610956837, 667242639, 697111122, 563760344, 434402659, 824722482, 680509999, 264924943, 502913921, 919064881, 709463169, 256884751, 211518584, 989183593, 521385454, 707715061, 670749785, 91872963, 143322797, 927703853, 899507049, 827790030, 83792448, 972104162, 695747902, 198523373, 924219287, 632098427, 40757580, 204757488, 394419839, 455592909, 235333867, 745367605, 313432794, 523351936, 571028926, 851971622, 614496757, 129787308, 745112371, 421223810, 27446543, 21095463, 439276451, 734947102, 764914472, 64747070, 854136989, 690339956, 225951037, 369199024, 448873668, 267879444, 447071520, 821744179, 165275340, 813415062, 772804483, 5227586, 530169227, 854714613, 743463581, 975874812, 422871006, 854502880, 414854057, 182753053, 657563610, 490162999, 238122548, 397811025, 793960043, 122235356, 623073368, 983167676, 528984150, 633538105, 854175143, 454729868, 264868915, 4375797, 993821853, 453058829, 9436851, 389506336, 469846589, 796141975, 542821368, 104647249, 930981232, 414137352, 474144351, 391860917, 503239395, 272997793, 193338040, 990700505, 375891901, 868378629, 714315000, 89377794, 449022140, 39438317, 171932157, 86116760, 57378687, 674872945, 615276647, 88337957, 434060219, 265525110, 203337212, 877188509, 95593111, 852900655, 717776318, 506758561, 96292486, 513925164, 79954572, 17435480, 302790908, 420676157, 727025575, 718572357, 814078464, 193864572, 796589471, 829232287, 949336040, 763191626, 994169608, 269131065, 825452840, 259068533, 125204722, 841639260, 798291037, 214532581, 306755060, 972946714, 103592665, 617498881, 205565624, 726131269, 611716978, 9908003, 671979434, 940255467, 831022437, 491103300, 405668323, 614557748, 535259389, 267088197, 135997389, 294807808, 911556171, 716437957, 723287091, 813763811, 783871301, 985929547, 86431282, 407667013, 309598471, 535655018, 998696279, 677516788, 86412633, 718242642, 648956616, 830734788, 305468674, 785943318, 431737830, 929726756, 370758765, 948519211, 257523447, 897742480, 735698453, 54401372, 230735906, 795043980, 635849568, 885424138, 621817590, 658591835, 730264365, 376335618, 997452980, 235811547, 744482495, 224747405, 935756955, 982542740, 699860373, 416695423, 752691684, 720636791, 17025305, 373866957, 174439826, 746076422, 807181786, 695731204, 896872757, 778938406, 961789521, 69140209, 585670038, 475503463, 380564224, 585295563, 614444859, 492106303, 465035896, 445904533, 835684364, 117700841, 985113074, 97442240, 326847007, 725039148, 514482924, 943910638, 642582534, 364774420, 473476901, 771824487, 993216107, 733743530, 531470278, 571683060, 476051, 707964069, 708029636, 317577679, 468158315, 473957215, 767715952, 444101521, 87537510, 464962888, 416350081, 235671748, 695121555, 625112370, 824347886, 469820091, 497764470, 637031443, 629072540, 992920548, 547909690, 10782108, 794575803, 231287, 256962173, 917544625, 54879488, 701285661, 29350406, 433187397, 763210288, 510149798, 498583653, 141155812, 720012362, 739937423, 773864652, 573681993, 210500820, 995209655, 43412268, 208884427, 917162266, 263232678, 488850566, 427391588, 650055032, 370164676, 380899450, 240592764, 910240925, 709752833, 621792125, 778855536, 234031021, 240508731, 323940816, 414796438, 65843698, 227114791, 583088891, 199075308, 685015930, 686712085, 536039962, 48701637, 361605621, 558437926, 130365224, 121762225, 774769624, 410311880, 721359198, 261792111, 172261091, 887795727, 80687394, 680032297, 869433027, 517003940, 25433039, 963733788, 339403024, 536227301, 132537853, 56084814, 680471027, 163928038, 780987820, 230101565, 265831799, 126938640, 918554597, 375873685, 336811134, 964811460, 302908245, 560589002, 604055045, 898696763, 200036107, 56136011, 470734372, 865668659, 564738820, 504802020, 77751325, 370244401, 185802644, 925137150, 496273174, 334204340, 589534977, 522639216, 948428701, 768640705, 666697517, 287705712, 802736422, 479554858, 845000004, 799824148, 890125962, 56613276, 626874928, 660690575, 769462754, 70099616, 762432946, 304883234, 608418823, 965250305, 447949549, 762309667, 695239023, 33920728, 694568134, 575588407, 776043836, 473272175, 289382335, 744372935, 977407648, 5331039, 288598506, 389860326, 144157730, 502046253, 826924135, 209185612, 409961868, 247668444, 416836405, 143239890, 377223100, 976238221, 512440799, 269317657, 931905727, 881213675, 257822543, 390620826, 37711447, 727061263, 814988182, 752456680, 952513839, 781134859, 679988678, 544801982, 467679725, 10450910, 161368981, 161158948, 997728427, 80250860, 52242250, 707170604, 873451463, 227040098, 165113561, 39650424, 624013375, 505376612, 800939454, 331512414, 415083187, 435892221, 804319571, 140688147, 97851790, 674174857, 204441952, 596721432, 121626708, 845335523, 266043300, 322505140, 797688936, 530171527, 347931309, 701738989, 871396679, 729473107, 818164527, 414670751, 245014425, 975370383, 974501964, 27477043, 500690703, 474535691, 850193906, 496262457, 695075273, 416267934, 827383869, 803876016, 119570852, 861510533, 453154996, 690513402, 953424922, 593636770, 721168964, 750297687, 228794986, 149752265, 43368340, 825023060, 323961513, 432105601, 479123449, 198116309, 218402681, 128520172, 884216952, 621058075, 973740470, 354837723, 683472262, 99151343, 804090810, 457629216, 663545677, 882057950, 969721694, 320843575, 585411388, 786724462, 351629138, 897168731, 493539220, 816396830, 103295747, 651285225, 91089876, 795680752, 459272204, 892204209, 877252659, 826507874, 419362286, 188968017, 118784883, 176516028, 678011040, 276677040, 870539807, 482840040, 990270004, 752816067, 802160979, 135178570, 333802329, 449781736, 290019685, 171126469, 938728077, 124670465, 418932373, 556390092, 541543377, 8204290, 223599774, 749873119, 905516793, 35719400, 158934990, 484930073, 697058658, 772778437, 164968256, 658267690, 729910246, 228304482, 835349781, 400597692, 281351965, 807018919, 738122301, 643477517, 634529477, 763925981, 212157821, 898541806, 781120768, 564006034, 873469006, 858566692, 510375335, 225462503, 647503365, 35402883, 24716157, 680657624, 240330024, 746317037, 914891666, 384424261, 460986408, 500316853, 946878195, 382249517, 705306822, 250920338, 927193777, 209290844, 78825192, 891114726, 742395451, 983933898, 760333521, 978898144, 287615950, 162341312, 724944653, 811962180, 931416852, 663989360, 388392021, 700748987, 923049972, 353508653, 947744661, 865717590, 995726424, 705994787, 509640325, 742014720, 176979020, 702663052, 646953828, 934421844, 858924257, 921542225, 704181499, 860927023, 442211208, 269365935, 762683156, 31810584, 989884308, 11100100, 605472453, 89037218, 571118577, 963277245, 769304150, 686507649, 152749043, 56866519, 223556433, 749093058, 560899966, 11469584, 165586246, 729358103, 262808700, 707720124, 106236621, 648427514, 162073959, 398656321, 259956930, 158002630, 322287211, 236280751, 490439653, 371129259, 101251953, 628228031, 978238871, 555096369, 35837634, 317839285, 856870051, 327334294, 334741849, 720563367, 470025981, 758508281, 593834474, 647484995, 254164452, 62289410, 541131473, 339658139, 162205893, 523684040, 850064213, 132754624, 749875625, 84505460, 260283201, 460532559, 179508996, 442449202, 860219236, 784045965, 803484296, 931247692, 241393057, 228822586, 372812392, 677573934, 468106155, 974760044, 365486435, 786905715, 852874283, 258717844, 117209115, 671115180, 975236371, 201914411, 811892992, 887989427, 560536195, 56039962, 858805963, 392098950, 12820577, 915265706, 856412493, 26965197, 97510532, 718010526, 396295804, 504211786, 538616097, 38105185, 612499276, 520633855, 214077687, 9549865, 654818889, 616420571, 583736805, 322637902, 440773846, 747055814, 146913124, 431700325, 717588773, 412369170, 351808795, 944312579, 141700143, 36206143, 40472152, 716840329, 746189417, 74412932, 721290858, 824415292, 328225784, 91337665, 704698418, 530651811, 292563258, 686798684, 714684157, 774426984, 859920942, 835869662, 688376201, 23730017, 835816460, 247182458, 536582845, 53525241, 553389320, 264286144, 259372043, 443679490, 27099704, 316148883, 981606058, 793607503, 422380384, 257512435, 776076271, 123272474, 392219676, 588043140, 125617753, 172793746, 378931022, 385903737, 821114277, 923575058, 962633010, 571105531, 121802942, 416470703, 971290981, 305133641, 236714664, 483860846, 893548416, 457615483, 647175519, 741826036, 333408490, 280296932, 234693360, 334112301, 24058091, 865089820, 218078694, 904882290, 967803084, 329427895, 650178572, 608130245, 841351828, 782686816, 429529570, 534416567, 229829893, 794699769, 176007767, 152576974, 825809032, 97072637, 961308925, 833564124, 352161839, 851000396, 552850104, 448229614, 479359327, 97869155, 620435476, 518812255, 585018719, 119815360, 627554108, 85544648, 954492534, 815423469, 541362537, 149077733, 974414840, 249697949, 776500294, 592068410, 546467561, 910678923, 753114873, 337384681, 731691615, 755430577, 60690757, 230691542, 772050228, 676972563, 505856260, 785090134, 181942040, 82114443, 663862534, 299001901, 992882665, 54586659, 178140826, 709185631, 988097299, 273811265, 126547952, 645095416, 24668415, 207488075, 817013119, 83955567, 263287218, 569295803, 716058081, 534860222, 69746086, 421657260, 503792168, 89373621, 148016033, 900784371, 614098056, 705630821, 113402784, 385385582, 579876791, 250559528, 161076647, 910223228, 719115213, 3919912, 997424720, 814281943, 62710172, 96991882, 863151307, 497860425, 334262922, 881961586, 693769531, 616336488, 287810865, 780816409, 228687481, 812351011, 992767858, 807838730, 538695310, 793823524, 338554729, 216011338, 652134904, 471871311, 414372940, 622861889, 923345300, 501147749, 940725919, 537779057, 212887114, 412778768, 756632793, 175994347, 649241450, 780043885, 887596139, 863796001, 237716004, 38729736, 462553270, 957174379, 502131657, 326399978, 174833146, 165250163, 896591360, 620847014, 731167140, 429383203, 6787335, 256521558, 493243865, 191780742, 152927102, 793312839, 436331394, 489086667, 515950143, 262555977, 330107659, 814827673, 738767606, 502845065, 671801045, 169122571, 107257269, 652604794, 542689738, 709234350, 31902059, 446858349, 882187644, 758856227, 772819170, 734889598, 352117000, 496855615, 919114168, 635745610, 513982063, 951068494, 624401050, 924124709, 736724565, 116198352, 8332488, 795508857, 110681593, 654328934, 201785065, 695604459, 616048785, 67309293, 492005846, 785029931, 961327600, 880453948, 513586674, 524850340, 772719618, 514304134, 93026085, 200738795, 702622361, 745261855, 671323641, 408651851, 308470334, 43979219, 842235037, 318080224, 451865391, 209312545, 158791096, 289770844, 612463323, 737518604, 963911605, 179105780, 923686476, 32804968, 266835723, 574449172, 578719220, 669052969, 841177702, 536816102, 569140336, 280721870, 828802069, 651948243, 469051267, 501200770, 914200959, 499615814, 500254680, 813066601, 46774434, 85687701, 567740856, 147795746, 178589107, 442805561, 752460453, 598246337, 637988289, 360578064, 873971959, 380680214, 337490911, 914041813, 124690344, 31987748, 912253293, 153978545, 603214873, 883576112, 686155392, 398786498, 866539043, 234140104, 158538745, 984207636, 891362001, 992947920, 459551214, 18315442, 431355083, 697413911, 851371505, 779779258, 144272964, 245183434, 819653620, 758000813, 8921792, 866219584, 952274087, 800409972, 692062245, 428884459, 98506444, 823004327, 230347214, 524100117, 225218983, 131984039, 479320721, 767142610, 321085885, 163599041, 402528796, 57492331, 248095135, 72923335, 682272952, 432444458, 854554241, 74444952, 734974817, 450068284, 379433139, 163123967, 827611110, 367964079, 357201377, 730764798, 61801537, 672644179, 736305406, 456024585, 764904286, 483153184, 234934053, 55818669, 691244224, 636023595, 962617588, 488942208, 577079197, 752689760, 428671735, 627315526, 981128554, 528622383, 939197095, 962129251, 834950167, 538748935, 686574780, 321203321, 428026239, 577921157, 571898441, 889898101, 325204072, 303447551, 807368718, 665985493, 436436035, 234379799, 393222585, 56202395, 479425102, 465236842, 421644358, 130492330, 111741438, 758988826, 21315571, 571856039, 236706686, 248150079, 31110053, 895924324, 15764188, 191577375, 861082101, 683042771, 134340038, 948227566, 20070041, 9751090, 789604707, 509596460, 634263289, 989780649, 922525198, 452878473, 886821449, 849966619, 301619555, 859364283, 81167872, 789332238, 122641525, 547930179, 901693933, 862514663, 457758807, 343780022, 501579629, 656727348, 708259873, 454792264, 123941919, 198761739, 463539732, 61983681, 215649733, 992242081, 491443608, 583710074, 433190426, 819370258, 181269352, 780378772, 121911957, 55707045, 308461175, 373949681, 831542653, 616426080, 119072505, 708550339, 300325927, 772155518, 486710093, 992192024, 172094261, 210685904, 888242342, 912377700, 589493347, 807902220, 291103120, 374943429, 816015718, 738907302, 843651702, 337936480, 966765425, 77449966, 38983873, 752442018, 888825441, 163485539, 761682926, 864920086, 423662739, 973124887, 648445557, 305449171, 423491190, 157489521, 834061284, 497657556, 355434334, 375943218, 627538845, 518334294, 427105961, 921611121, 774863588, 440215404, 198660947, 705472766, 991861230, 495514340, 911370784, 773452479, 30191424, 650422204, 591787583, 932817216, 752841739, 680641748, 997847709, 507743680, 978075543, 583909774, 546363885, 956094664, 743517472, 123244325, 445458828, 690256309, 398168103, 653818830, 625034022, 432688665, 629434910, 696146596, 115074792, 77551548, 679971598, 639625406, 539134630, 940604197, 273690225, 864986192, 34213169, 10457095, 70578358, 566059734, 1371043, 999924459, 5149359, 671211944, 350827757, 526981555, 661164685, 605352555, 776646726, 554713430, 920517117, 4906521, 389271691, 615750421, 366786377, 141618455, 822206001, 661808742, 511941338, 669785835, 367003641, 85958278, 312401096, 79456847, 577784243, 613327322, 571598360, 539245617, 960722455, 375430280, 526408312, 70926663, 460373513, 17925696, 717382555, 477232927, 892271380, 80898260, 7318851, 529647426, 374684283, 124261404, 322409456, 624210295, 265112194, 17146382, 737495398, 781617658, 497099164, 41268960, 916259041, 220143208, 454129722, 583960434, 561385947, 594668603, 577005424, 47836859, 103519616, 977909615, 194013404, 786803489, 51032123, 343266314, 107857444, 628022959, 460303915, 778864053, 220582857, 834620328, 608525431, 702543962, 790895062, 184063911, 779908696, 825508497, 388401298, 340240674, 886364293, 184414538, 584374505, 16562840, 744239604, 59187971, 853465800, 98842444, 546640798, 243645322, 638989413, 100120518, 211196336, 873741776, 510663686, 552600170, 819056339, 143639047, 210606399, 114265437, 367977345, 701933372, 9522319, 286237086, 89504494, 813490538, 127146057, 135468562, 291227955, 495861144, 964522583, 136885682, 205099244, 263602054, 715539655, 69622335, 121823849, 430507719, 69750973, 175474521, 653881505, 118595907, 80160610, 727531010, 173830772, 512515109, 735194785, 201962104, 488610872, 455110659, 46959178, 539070510, 162636644, 67734521, 893342326, 218426520, 700368295, 11423297, 819425929, 338535617, 241642543, 55922363, 799102932, 357174287, 182491442, 121331269, 307710024, 679195960, 316841401, 861991314, 476629763, 490834143, 159201457, 425007053, 531336771, 267235910, 827865007, 42752184, 15841527, 649279735, 235272327, 31014410, 596249541, 117664923, 158797155, 399089854, 333712019, 173814491, 400756514, 800173176, 671319888, 998672800, 350271213, 904957288, 22618984, 850890160, 601224760, 992234271, 637856302, 34617487, 429948363, 49538064, 430639569, 352137963, 158285205, 696943699, 287518211, 332097205, 652647943, 841772354, 145923343, 145886989, 188091813, 275869909, 61966782, 428675836, 161392015, 454150189, 536921162, 257531030, 733915211, 694608416, 583367028, 609359144, 349448495, 307482580, 952694825, 980353597, 857822453, 533018112, 407279129, 325449323, 479536861, 318096862, 892282319, 594688713, 157034880, 575211375, 878864761, 196323952, 529637887, 334025888, 366292751, 572275469, 975971274, 342202851, 992690959, 905946592, 638617638, 408257906, 893433470, 431337672, 121443311, 204691644, 149215049, 892866387, 499657902, 492373627, 727366084, 817413606, 299830101, 179108792, 793021020, 79484774, 990787475, 806778126, 699771690, 932517360, 396801986, 450369033, 705688179, 601764213, 543650000, 6424246, 101576956, 943742352, 469876599, 789602165, 193861204, 867914166, 855513141, 892781606, 508623681, 94734653, 240839222, 291304372, 782860714, 535793730, 316197460, 437266536, 818734523, 513125053, 341667977, 865885326, 459199730, 800469722, 73959588, 663225978, 938116519, 676396111, 771293940, 134110004, 604210211, 814611864, 809471780, 227147526, 919603684, 718877548, 600688498, 323051501, 99437760, 64384379, 2816967, 818797618, 610590379, 994648835, 573954750, 747757867, 489374354, 906949624, 497465284, 110560861, 743002268, 736660912, 864764678, 239030637, 179921161, 597075825, 648263922, 240484009, 403859859, 323376783, 111561393, 880769415, 754737241, 541693235, 729100522, 440848994, 430876097, 397697044, 986305880, 445501633, 745929129, 961822196, 463370806, 372917087, 929787278, 281491080, 260370802, 723087218, 203568982, 809192786, 127668940, 274859962, 256763793, 907418526, 948574569, 41107521, 275421123, 545480185, 115078834, 811728405, 749430864, 145513085, 516184423, 569736173, 616298152, 237442955, 535206569, 84012508, 226442680, 581787161, 223916070, 714119636, 858533616, 271167651, 4042270, 94481030, 420969509, 860656802, 664057935, 659812836, 635967870, 287614655, 518672419, 860701661, 622898608, 182056539, 606693818, 67809863, 476866592, 641506810, 661823557, 359067162, 146840437, 191874073, 827990527, 830271114, 378743967, 31191003, 914176962, 315775261, 104161347, 925789335, 224846085, 16306171, 697520623, 235541913, 755939652, 575119707, 184347245, 477066085, 539678930, 263733613, 214865263, 441131133, 452288280, 370114451, 916699212, 234272754, 500356074, 969628307, 218075558, 98545440, 643801483, 607531433, 884942838, 741633511, 986510265, 130375579, 687291472, 631810103, 897452246, 935825379, 406107678, 693379832, 889192140, 713870969, 47764934, 14203958, 264162905, 113416437, 614265384, 801578131, 689265440, 512136511, 165983016, 867516514, 758347801, 165973614, 851022298, 934841098, 971138766, 748262675, 581017148, 515614911, 964208870, 75596826, 421017618, 877419449, 554331043, 6041091, 154592380, 506155288, 307883153, 356449276, 6535630, 257739329, 907268228, 14466877, 270547852, 536213606, 723009376, 840425344, 488682197, 742223034, 800330551, 174356028, 154378213, 622316126, 979186215, 648850528, 94387444, 686133908, 625519268, 762398627, 102140889, 568059492, 620235278, 491928965, 561673559, 360605999, 671102238, 418722227, 356698361, 103779373, 306452827, 549138165, 744392295, 209157177, 128661454, 871804462, 188569664, 660533177, 892220710, 596810020, 148592411, 3754514, 316034770, 20560543, 947406831, 493843234, 193634135, 909235904, 739551763, 585249718, 570121942, 974319094, 390024808, 440707295, 832643610, 589779072, 351021387, 285065444, 622379634, 348513382, 239138979, 854608786, 610483556, 461886344, 223078013, 667060284, 472047469, 369143238, 552604544, 953227416, 753771196, 906112849, 860856274, 945392706, 33882596, 83862744, 183911492, 223443659, 266067034, 116358593, 854540787, 736104931, 654803954, 962437282, 682620320, 927570489, 974199461, 284615995, 422644873, 264036756, 527010436, 437700425, 591045885, 374999916, 271141299, 985862755, 711574926, 235092695, 473603161, 246073051, 318396464, 109556329, 252181170, 702194073, 167019192, 827598551, 214212779, 310715990, 952925589, 4726638, 777323627, 548721054, 43937952, 77555877, 23197176, 702509849, 935704911, 41291480, 831748971, 782607941, 363771820, 42493086, 625937011, 757646463, 762987903, 760712817, 250714150, 807968145, 115306189, 654191463, 959235605, 835903789, 167983154, 226372221, 776566089, 354926907, 754460873, 861983428, 77609207, 498433013, 707799890, 594776649, 196556894, 987641522, 497048638, 210299664, 93306080, 387825204, 774785188, 13418717, 530053934, 390953369, 803341086, 652325163, 573077275, 858592443, 563662292, 714630726, 358240954, 535799588, 304481571, 8732306, 868825292, 24184804, 412359413, 934807688, 49450658, 607917679, 462915075, 254876942, 250798488, 321722147, 186292808, 541309452, 35174061, 580684064, 137540335, 325902144, 226778756, 16721881, 520790500, 366570474, 165305178, 612482620, 708345890, 616876972, 486274357, 547241994, 908001151, 331138316, 13070885, 834276235, 223425171, 302712516, 453124853, 425023397, 53772428, 687347885, 759698297, 368039765, 490631626, 864069432, 129160314, 435820388, 680426001, 622918434, 990189451, 514735834, 113433424, 776776197, 554903177, 606811700, 867504111, 578030693, 92234641, 876331154, 495618046, 836099579, 315390596, 814136318, 790979410, 367734233, 994349320, 155931726, 903915483, 915789794, 205187950, 408251066, 726357912, 986553652, 515194521, 328982210, 493238257, 966842950, 421201798, 343360246, 260868800, 861467931, 312550200, 566115317, 834519283, 982818460, 109175736, 931484992, 432447058, 787785257, 523430882, 754624921, 784910829, 603112137, 60091164, 24409092, 703374552, 387038681, 308924099, 995827343, 591667389, 624067836, 224403288, 461352397, 780121764, 571664199, 522426972, 718727579, 992251904, 927417935, 966468934, 35630164, 258145432, 687593880, 304267413, 476720395, 153727916, 614385079, 443500497, 195328563, 329908235, 575507858, 87306548, 69191111, 545785910, 719427743, 332659180, 104143172, 574185106, 432521543, 589289201, 346983013, 784975650, 977306953, 443647197, 736488970, 974196347, 621910393, 130505118, 457386687, 687845733, 960403839, 77941373, 539698579, 323557067, 607955778, 249405900, 847661386, 326846794, 675203421, 277577077, 105821950, 940639460, 185238887, 66943731, 468697164, 333982789, 357991571, 279395721, 965577713, 863569882, 668170092, 146540123, 775683723, 261651818, 20611132, 253479262, 792044647, 398394586, 637607110, 410155958, 890945808, 93808620, 669595703, 919245819, 821748594, 869992923, 225316481, 588237284, 302330692, 946466054, 908506773, 961196343, 697288631, 462521674, 609673323, 220027142, 429813288, 840038150, 29758874, 114003843, 294463447, 332158085, 241487655, 399090795, 641749459, 877165514, 322692024, 126384978, 473276434, 502013960, 830279367, 38957221, 477371946, 20295403, 933906472, 334353108, 515106110, 923794122, 804926653, 461569158, 665335539, 420492641, 350938721, 220783853, 188580028, 625009536, 749331299, 993307251, 321867145, 69596272, 609159675, 394950955, 858715040, 504439218, 369839699, 941284073, 726653957, 414147939, 655042450, 917439904, 34384972, 558078996, 902018355, 775816731, 64726439, 500430057, 402929644, 875959932, 449006196, 240688443, 175432462, 509477193, 871742037, 229789411, 382693190, 960082944, 725361449, 319776621, 120980614, 287310194, 5067101, 171372585, 435177443, 489600474, 297969797, 135540691, 14030012, 405565478, 93787511, 99780297, 872278009, 402995159, 152532224, 145155208, 526740197, 167435871, 482467931, 742641150, 721448707, 677934740, 88238242, 73143776, 244303828, 794853395, 96393106, 539154497, 109305054, 634077769, 871305437, 576705921, 506713104, 777787263, 430431946, 493222240, 645192245, 127246042, 926254644, 453695481, 21307457, 887416858, 398429320, 538076177, 635521041, 521331907, 433259290, 831083088, 951922033, 554251550, 48252836, 373431669, 524832557, 428767902, 95774561, 367580032, 372141051, 37625386, 944666805, 32695231, 278479846, 100155777, 916771938, 760775035, 323942667, 588544030, 361959722, 110859781, 868923159, 546364710, 496702882, 294948761, 219547227, 462897700, 175068209, 365621555, 539113378, 468459284, 125453188, 264188696, 875622787, 767019705, 166798383, 373436371, 272752673, 250191721, 630106440, 549612360, 756162688, 514658878, 479573915, 5396491, 89869587, 799385383, 874436356, 785617950, 399329906, 442469116, 166056671, 240417861, 353322898, 111041478, 685219987, 472330412, 691618513, 546732490, 195002352, 33917765, 519800116, 680476339, 934639627, 400741201, 831479667, 761752166, 493658492, 674279058, 483905566, 133217587, 288218124, 623703729, 731708684, 103934799, 122835630, 65492038, 897964432, 642209468, 338021613, 386119729, 366173475, 104816886, 142536619, 266892579, 449323027, 505757993, 743452223, 91876355, 979839634, 600491861, 318009491, 56098054, 82113135, 332451759, 117304766, 861934996, 700827182, 733462169, 690500226, 294953173, 670975862, 943911981, 884071098, 851114369, 693583070, 134849294, 52834516, 502528424, 16360854, 57312144, 492787651, 243163572, 968956246, 263249298, 248855234, 740573479, 705584315, 418701836, 641220684, 60461181, 464652279, 816095862, 647340092, 578741145, 207699998, 177825020, 758106985, 699679517, 62625373, 786768791, 294833528, 537288508, 997789880, 592450873, 912328263, 386647671, 68243136, 113755562, 213360128, 988906007, 476622382, 284100383, 884695656, 107202600, 334329163, 712710789, 5721133, 561593436, 542378301, 449464653, 186715120, 647975842, 542461762, 278922648, 538688717, 848479961, 681036788, 398527666, 591633135, 687239787, 324013411, 447559622, 855331527, 381498049, 383602799, 675833258, 681136174, 739723370, 126453525, 84846501, 555206920, 890066272, 784115846, 758977820, 929370292, 678550210, 585240687, 548826291, 887365968, 850275275, 553474023, 878077692, 496616841, 21238655, 685909557, 836543949, 888665160, 788623913, 468007734, 342733508, 31839138, 954653660, 938327871, 330977903, 649448930, 206160253, 519662079, 44836845, 908116069, 295036984, 560588283, 953074082, 990879843, 804721271, 853215736, 80983060, 971628893, 996197528, 930362863, 326848267, 342691997, 624403777, 806106773, 390445569, 712400125, 962320978, 710081694, 980746037, 837538283, 528510344, 980782284, 907294789, 725597885, 674971011, 345653260, 958234955, 669303985, 838529764, 596782581, 637851742, 579222382, 439099775, 743834949, 390334071, 101077838, 177166227, 541393130, 786904625, 851826866, 429447119, 850713780, 508157162, 320578422, 109901875, 121508860, 354241569, 856305224, 954337533, 284230692, 213023583, 13179175, 311374933, 112559601, 803340142, 314138992, 399646312, 344724011, 932810846, 604835087, 960375293, 229521824, 695971102, 90007805, 47305658, 125455039, 469820649, 991107498, 786327773, 765024873, 475462827, 407792961, 860316947, 892324559, 393411616, 824630196, 31754524, 656395595, 766521622, 416245172, 297815562, 324104412, 281980812, 407213547, 779421052, 14283795, 594967306, 645937215, 800921720, 490273964, 531235250, 79269340, 378372802, 947328257, 428594596, 41132142, 713447636, 775581231, 7928531, 223609212, 104565727, 403197673, 528458650, 511211356, 121526139, 786964662, 890127319, 194819022, 332307486, 623576925, 216995427, 653528663, 794988033, 47796438, 644488788, 490965901, 301907169, 776095606, 305954029, 459495336, 433332325, 699388655, 181828170, 797752440, 208403307, 453495778, 655596114, 164276342, 544366313, 34982778, 177016299, 49738626, 192627426, 273035515, 769296134, 461200357, 496733328, 63810806, 850344536, 467748672, 164181941, 324013949, 369345595, 611258717, 246810704, 628325856, 971178433, 725444070, 372962967, 754029337, 207618736, 80290824, 519918822, 405186236, 850275737, 541787476, 106022865, 288955645, 737855520, 219207265, 816541954, 371287592, 998066125, 324951154, 151192805, 977002220, 805857770, 221614870, 995695397, 400086055, 300066691, 698539252, 779524256, 512988952, 798717810, 762613069, 842891710, 645029919, 826025466, 141027697, 450887581, 348952704, 161520122, 910761108, 384655067, 9420354, 349632911, 349304030, 916601635, 480919587, 582784459, 741909039, 354493410, 175058175, 320390776, 373497865, 546197423, 617142083, 808273815, 180994996, 8607604, 349248080, 738530212, 8155403, 649892079, 696924653, 384673198, 252228719, 119650547, 109827105, 323071468, 640185016, 879407044, 820978459, 604488077, 449179491, 972979430, 627258775, 390395294, 116606663, 261660798, 231383849, 364728628, 410477331, 18694060, 469158758, 946564039, 741511748, 191759771, 592132798, 529871187, 164061384, 595663587, 432501385, 575950847, 16305304, 167027998, 604878417, 120081633, 733708714, 607373174, 800769350, 587895190, 141518143, 409001187, 39620132, 991333991, 215957156, 428457343, 456293819, 896607335, 851784297, 545943881, 812884020, 130780961, 182574199, 170497183, 105536007, 490660773, 712034024, 240427542, 993782686, 243365278, 537210527, 683211691, 368189501, 448592766, 151916025, 996552569, 710817492, 835806004, 625652629, 855011719, 298255246, 306279850, 946292279, 468253373, 452914965, 638427085, 675512764, 834150145, 446340277, 925291426, 595461975, 697639447, 243238220, 623296120, 888819540, 945419667, 233825000, 750388347, 36862168, 18705703, 53627754, 653471025, 970493302, 122915108, 998501534, 934896189, 673893159, 61538250, 841442279, 503277093, 731403634, 914712325, 823297264, 731744789, 121655016, 598579264, 812431245, 595480469, 964929748, 874349349, 788996874, 113169064, 234051904, 494185742, 499583008, 910830193, 169861842, 5580149, 542634567, 73355300, 370109623, 161667857, 68285663, 771278141, 65758020, 614440259, 104233687, 670706155, 674476265, 871217407, 650566005, 955841537, 717239892, 172644282, 692204954, 350890100, 112323735, 702656494, 384378591, 93901271, 527387036, 210734100, 128906566, 778410300, 694938569, 388708274, 553249134, 577042493, 339771264, 854016710, 350210250, 441777881, 108476529, 297734309, 869309541, 970386946, 206359008, 684112537, 179400915, 477168339, 122556433, 576136939, 456937702, 87195148, 777967308, 852461237, 870223392, 377632432, 255062797, 322801523, 306365542, 657382807, 917471015, 738576708, 882572837, 778323380, 392919571, 4388405, 923808061, 688564499, 266372053, 328668167, 495597572, 445151189, 930197370, 398529015, 343353937, 989923413, 182707922, 119648236, 757250487, 555378946, 400097672, 142584392, 306476650, 771964069, 103017667, 697641658, 961296288, 108616446, 931164431, 545453496, 642124737, 446329493, 174333618, 264739823, 574656196, 254748603, 453478944, 551543864, 539915878, 740184805, 836144113, 727003768, 778186195, 408435120, 512557828, 50209942, 150507308, 269058513, 413828428, 443753163, 491666766, 235799441, 470330580, 398251677, 792578237, 504553404, 326517186, 145779368, 138220083, 750001028, 848772409, 584350291, 455949556, 529041581, 888966409, 510123966, 939342165, 300599501, 533907386, 434199938, 77017833, 183335924, 46423154, 579885465, 726604079, 88176808, 726393388, 522092237, 851051056, 633240540, 959157815, 764321349, 816796895, 718123778, 103623410, 923590079, 986726207, 865364515, 176209932, 870874282, 285234349, 786888050, 631011037, 794644959, 127616434, 628753812, 326689512, 391861019, 266476688, 425284194, 310320054, 365276690, 832512778, 272579385, 666318960, 692666811, 417266775, 714949503, 395220865, 582555783, 371326036, 412999889, 12797336, 614400782, 782565981, 837405760, 718983537, 970964658, 688429869, 596863787, 209320805, 648082550, 309217138, 374760852, 229106283, 457991863, 252842399, 806012760, 609119203, 216298470, 117326167, 450993599, 589734678, 822872900, 603827614, 295000840, 267457644, 190590182, 358248677, 85704281, 550388924, 313708868, 706699969, 891771042, 297010434, 211756128, 602778525, 649917558, 100318827, 997444254, 73885570, 109560645, 72349071, 391291230, 954877646, 812101063, 988284561, 816904768, 239095414, 687170473, 161790494, 153751771, 95112830, 989789643, 55152966, 267610723, 664053343, 77620996, 447750226, 623593943, 580211656, 219793525, 937588256, 937376737, 80401895, 123836140, 458259436, 889825956, 323007010, 39593098, 558903168, 218190453, 544930652, 909269793, 990848500, 999266367, 444632886, 978049396, 633306405, 888852887, 609236272, 73797137, 243081456, 139790594, 825610108, 357078403, 937525163, 110544625, 1963515, 344980894, 801485139, 265605803, 633753879, 967238789, 930542141, 665477404, 668398232, 150068730, 63377946, 757423735, 92057005, 640235696, 978633583, 16695681, 633302134, 377622426, 56607636, 215789155, 631052861, 619564315, 571896996, 569130252, 519673776, 708899967, 730019005, 518960074, 680742433, 787322058, 210913412, 701705279, 188049229, 520697688, 526314212, 345205093, 478655146, 890806169, 570460223, 73732670, 763763848, 425104806, 132198947, 394860222, 897050431, 123922343, 644358393, 282836464, 6787337, 149469662, 288157611, 118742586, 895523326, 34977774, 701292443, 567767556, 60809304, 449231530, 966132706, 622079453, 671633668, 790568837, 608639355, 505790516, 328831094, 515708723, 501809651, 777746043, 573140283, 832706707, 64315717, 410263714, 231849239, 667012714, 366190683, 532685052, 217306240, 451093032, 938794055, 834915243, 629130721, 192229270, 19929555, 611932761, 706702796, 581182902, 416846235, 298848664, 314667347, 704365626, 375887438, 257613225, 700747963, 12907591, 271556007, 456061951, 188071763, 662467260, 853761008, 21843681, 570050616, 785116776, 418234884, 813457569, 704434802, 942938963, 404210160, 266064799, 552484806, 310604547, 959314780, 887747792, 597129453, 608542879, 457621515, 301503355, 851191628, 646714519, 199778537, 49232998, 821109930, 547093999, 130731574, 496002124, 867301642, 170140023, 36894773, 935433871, 131823793, 800415731, 394271547, 119337137, 169287775, 638659211, 344233677, 621556947, 373101626, 697029387, 706272561, 214209751, 553211241, 816283082, 838430850, 323618701, 378294627, 878204186, 136213631, 756437975, 10030867, 662809938, 486446805, 258163671, 145660030, 334079405, 164350938, 351198672, 578580203, 911586789, 819815658, 802811963, 780417361, 688954473, 254419384, 945543358, 466432832, 476059592, 401117953, 952034549, 438454987, 206448094, 536771538, 391289044, 421928588, 97386295, 269183665, 276872938, 57017053, 122346162, 499536838, 108035871, 850691505, 459594115, 190659327, 934867266, 895605262, 747882028, 976134913, 489432750, 19979672, 186178046, 864128916, 479308713, 997551816, 490314502, 394117105, 521735837, 80001909, 158055864, 715184076, 445594579, 255252085, 617574862, 266367410, 540237680, 365395191, 868096395, 725755899, 786798450, 607218427, 727313888, 795270437, 43666355, 738817640, 843193789, 3855641, 875892560, 906031468, 423852505, 561444116, 885366144, 637375313, 784022131, 431465216, 840470185, 757507789, 505946801, 603180842, 797577035, 75736629, 600863269, 263655567, 748263372, 372964916, 363942807, 67237114, 157615862, 940315123, 886165032, 945844114, 969227530, 435471593, 565365316, 415981165, 816953806, 482194506, 237729488, 103621657, 273332309, 991352818, 369088776, 507982743, 517232309, 169547753, 109605442, 607311939, 662451241, 981624868, 351881175, 570450143, 879322885, 191434429, 41541665, 621571000, 444948997, 303444187, 881385623, 224451741, 556549635, 834025802, 620406248, 805263951, 889882299, 200091216, 386306780, 596403745, 673086586, 248921133, 760478472, 941717602, 969905424, 615057398, 291244774, 376249779, 587751007, 228696885, 136867342, 1585020, 462165029, 372238702, 48379001, 140350376, 902763860, 415357215, 609850353, 623699740, 804637234, 955043288, 168325549, 157152206, 934241452, 424143497, 604222635, 685584701, 97652302, 213740193, 997385625, 931562678, 464315734, 234546914, 31193975, 459725342, 834772464, 768639306, 325470264, 287033120, 767025591, 466040188, 621371773, 734334004, 259378947, 249288583, 496074217, 118646336, 241353019, 759094260, 871391512, 68302390, 329651204, 715048383, 801169861, 759932159, 987372295, 753305789, 515375778, 860241269, 292411788, 843895448, 678979362, 767055237, 639906860, 500935637, 799703001, 793513813, 827504534, 487843353, 140388097, 665734430, 489336705, 247569322, 45538993, 61877557, 31209665, 746507266, 648919838, 270820409, 709657910, 78021551, 600462872, 996765182, 213074643, 78316925, 509669621, 285845025, 305080935, 21105642, 282327959, 126164052, 146090653, 418032050, 404825977, 924641878, 462149007, 952896477, 196483221, 856816748, 283929902, 1516215, 674465379, 311447677, 545918238, 34773313, 421180306, 568513514, 259678749, 882055911, 351143747, 154342584, 521080914, 52670044, 389106466, 104110431, 501093110, 749856674, 176447224, 369773443, 168451090, 633178350, 657069199, 213086681, 305442444, 828951056, 552444071, 379643992, 543306794, 871251049, 934945290, 401425740, 791802643, 543247214, 907518613, 881824060, 66811262, 834977315, 102783753, 293844698, 48882882, 878870515, 886834372, 16477939, 741586698, 731546034, 31053940, 583923068, 173528319, 900111517, 44833533, 650103216, 690231897, 659561851, 675456659, 637629373, 58601887, 866058599, 941643688, 531285078, 628962717, 665869410, 271637258, 77262218, 447477542, 296754121, 31550603, 93052729, 968483213, 354851620, 98289420, 929821755, 723659852, 952833474, 682126513, 176779339, 264779266, 109090700, 68604748, 995713649, 750063767, 6248766, 630549776, 976832508, 771049713, 59370986, 684290810, 263777676, 847595307, 218493119, 884584336, 876355911, 487038164, 10519257, 272114834, 859300593, 729451159, 148990950, 340308953, 878343722, 362321660, 15059284, 979363865, 904662327, 544974960, 447745154, 920693160, 541210131, 400601320, 947399495, 303521471, 867283266, 537761309, 886498098, 66792780, 817536556, 357545509, 569380644, 697237890, 6430988, 726195602, 948731695, 578383086, 448964404, 98252737, 883691946, 515916223, 764895435, 397406468, 315395718, 792610327, 53032961, 890807851, 248489597, 582619860, 149957178, 504937111, 533316750, 709508456, 517327713, 311307769, 806344616, 511001473, 33253134, 213444512, 443025517, 886349916, 3950242, 275960024, 542527597, 296354828, 881225963, 196368562, 994278887, 505745253, 668371597, 32740815, 910120240, 186290884, 27191639, 398305913, 306124041, 712985909, 251568607, 943345462, 188481326, 737560598, 427206500, 558073562, 656899218, 968967012, 507732437, 806275434, 907450519, 963054362, 421579730, 216167780, 984693485, 227136138, 846411434, 464971132, 909847238, 349908631, 418368278, 985353437, 835430961, 235573632, 972461489, 61586685, 830050754, 356602647, 185628894, 528850919, 801088969, 898692300, 840238087, 872767767, 358849837, 10312725, 87705803, 16089524, 405446320, 237098642, 240918170, 962640655, 838462734, 298490697, 960252475, 74576729, 30621779, 318731416, 215157369, 73601511, 818063216, 609369428, 79521655, 89005372, 992739253, 549315747, 16691200, 673049680, 463881099, 784352655, 374398365, 982973189, 881992318, 537144841, 521739144, 788863986, 887661285, 866066490, 719232945, 636585032, 906706451, 700091507, 21311601, 686995241, 346593395, 229245196, 978839166, 911116260, 403404294, 15539342, 370228000, 434493547, 415425628, 65937773, 667662900, 128306652, 279558422, 843440107, 875833241, 105488455, 933282610, 987976883, 530271319, 896763797, 577942472, 512128389, 964029019, 547308606, 157098941, 829497681, 142226110, 841368434, 654418970, 169406108, 869105036, 23985130, 445108720, 366027253, 587320508, 206040925, 951616554, 770610544, 244753842, 172909125, 278071193, 568208468, 720977332, 317730835, 269146394, 831352372, 322918854, 387151563, 828918342, 759689322, 361458956, 717057024, 675876134, 726301876, 818813598, 842922121, 331708599, 934834555, 973154188, 688558813, 961336196, 793607995, 690294627, 774947818, 190782745, 966661827, 676495895, 668374574, 508463246, 741743470, 37772701, 854095076, 278101234, 35339627, 67723500, 838619827, 65644075, 209177043, 603335759, 601935848, 317279949, 318176380, 978809745, 643181058, 806484683, 688005310, 957155977, 682916128, 247569630, 33528840, 247562713, 133155632, 680747333, 81800994, 993224915, 866792557, 732424531, 879834088, 418701096, 366030885, 154012993, 791290422, 888853771, 680110921, 671259756, 488559650, 995799391, 583285225, 178632521, 725781975, 923195949, 77191037, 483317466, 64710983, 671280045, 526390859, 801651965, 861253148, 447437216, 112453288, 970539449, 11091560, 125487665, 78865477, 382693410, 414317539, 544070053, 835539742, 745717664, 367254463, 217542497, 450494614, 423151351, 260999018, 738688913, 468744239, 506103664, 303296248, 248242068, 286516065, 792933694, 343408791, 758275986, 593709124, 441881083, 652686041, 527791535, 86577944, 932952190, 35033072, 266290707, 926946893, 911117165, 386588861, 758259811, 768318056, 352048865, 5968275, 389723645, 857594267, 309132558, 316446, 683406492, 277510544, 63254156, 922629133, 473259245, 351091031, 607419144, 197091998, 924010963, 903178968, 964246812, 193542768, 603736379, 865010601, 525899181, 217875276, 352694545, 732324655, 811195720, 111172386, 320368487, 44388975, 991572212, 807778237, 931124202, 172193611, 786015789, 612905103, 472889868, 855712339, 611821882, 299348009, 142031957, 448301128, 243836373, 59460965, 98667555, 628307562, 860322747, 437546796, 696162389, 549448007, 246607830, 666004172, 26184241, 388719153, 360658423, 556154820, 164584801, 334182397, 882561509, 802404595, 463072014, 253600193, 743281117, 179126558, 907932425, 167076885, 582863150, 706432721, 955652140, 158838067, 624284327, 230599416, 89120126, 976403968, 183357487, 840879443, 398669101, 969060745, 629586293, 712723158, 773835631, 200745077, 610618332, 126167937, 313096223, 311371036, 132363216, 395947215, 976039364, 517093952, 747561825, 335329539, 187195875, 719486860, 420967446, 523437130, 448794709, 144463656, 111356572, 343933756, 162543889, 896792388, 517355829, 551500655, 251865942, 26412644, 326631039, 861402787, 243627309, 96273480, 950959909, 200462120, 452893312, 727004645, 634833706, 957701325, 114825293, 527842570, 444165155, 678268906, 195646584, 280726673, 827205443, 438062974, 546572739, 706737172, 191322400, 529210675, 528466554, 951537572, 170064423, 161349103, 525321844, 529986008, 7652947, 200443478, 339948306, 310513595, 287611458, 736335629, 839687432, 210543828, 134541888, 249728509, 111573170, 501776232, 256295319, 5714647, 325361898, 148670655, 740372069, 639072250, 742036839, 565794056, 55932014, 237340597, 732238349, 162578468, 144190322, 232753935, 867280104, 480679794, 667361070, 869063628, 384058524, 141364108, 738825342, 167002148, 689089794, 206430067, 526807957, 771132923, 595034022, 487731342, 72226691, 845526251, 906857460, 932708275, 59366528, 861626174, 346949363, 730878568, 415923499, 135894551, 900083102, 994877044, 326528618, 258121761, 445363367, 640968303, 582160297, 113201285, 375124488, 635276384, 925402630, 476072753, 389270226, 26572881, 991240928, 190935539, 557853273, 609853699, 200278434, 99042867, 943180380, 975629659, 847302938, 128625707, 979002987, 814040054, 267518871, 696724065, 460852257, 126768962, 888949413, 571979255, 173147819, 611649473, 31798288, 59899882, 789193870, 635849130, 945537888, 908060638, 757367326, 227655956, 767195963, 119151661, 238486235, 770062028, 401344807, 309416079, 600186665, 743244035, 519946942, 574727929, 624048098, 710449799, 822957149, 486091796, 196741095, 353506780, 907549862, 723350151, 966583892, 120740588, 743932030, 241336581, 50342824, 389205014, 994730479, 847349104, 428932544, 154858655, 716769821, 573248971, 708494606, 906947076, 953507585, 221099730, 954658142, 443042710, 164050165, 659286725, 691040679, 325082194, 943211903, 385369826, 952858699, 551740289, 724210108, 27061624, 414749766, 587778036, 100009214, 185771943, 206035920, 372861546, 725238447, 204229587, 361259606, 103494136, 23806133, 453866068, 193534313, 786382458, 530642257, 292047524, 946890387, 546425778, 682588873, 571704548, 139435506, 895885106, 225611324, 127179545, 410991195, 135399215, 814343991, 597717970, 276063606, 821677542, 133210900, 214494528, 596024143, 928344559, 179684060, 70886497, 94572256, 831417213, 649683065, 399445753, 985552692, 88587374, 448501028, 223819895, 121696432, 23009327, 658919305, 6607158, 142402894, 235884672, 154286675, 754349524, 302291928, 969551435, 23560113, 947175952, 283029741, 777078214, 635343846, 483485267, 276738191, 177516224, 640880122, 121343294, 770515926, 461861317, 282148396, 403719083, 996808690, 437152661, 88317957, 22719655, 547329889, 744999561, 511727992, 806264073, 552305635, 192357908, 77072147, 16811109, 734673401, 712355975, 691145232, 822284735, 407191543, 1614887, 237366654, 614130200, 798763753, 792557016, 979025990, 684224371, 194779995, 870454018, 329587682, 582479787, 714258452, 813778860, 230595316, 875271994, 42063687, 236280793, 239780357, 604242007, 466683549, 246935943, 435686306, 200777038, 239647977, 107782825, 286050988, 144015799, 895780408, 855700180, 138108923, 277526364, 906802374, 550813685, 609731705, 341880839, 303070081, 942816550, 543643317, 833616433, 328629205, 940382561, 71327138, 964663201, 838771009, 757052437, 116313449, 657762439, 909072087, 908597543, 923846504, 172087493, 606962879, 548583532, 347203674, 626159904, 927911118, 704428002, 56019661, 530823845, 162734156, 264054496, 61338104, 354510280, 967795820, 326896904, 928297193, 444239521, 871522327, 250963888, 56190194, 773773770, 236616722, 859631687, 658603907, 714352154, 640729474, 711405419, 169005491, 230838885, 400583000, 627694817, 487834623, 678094106, 440394278, 847453522, 101405343, 424418635, 749073271, 942643312, 728120382, 865147324, 148260194, 347709795, 324769842, 427547775, 148489024, 225526710, 456808423, 755070835, 571646501, 736747299, 346446018, 136330148, 494808691, 703321835, 363344933, 819064608, 348952600, 521189260, 198548808, 761440327, 54382935, 480021444, 959487218, 710555407, 740223112, 499890133, 724460651, 213279865, 993310494, 702929217, 596357138, 162754343, 984629393, 121447832, 36631443, 80823078, 666279692, 799159504, 511751136, 467053976, 260643449, 257361400, 114194615, 300304658, 922682177, 234002608, 536859246, 827846495, 786023110, 377652523, 263781853, 179942014, 307767573, 312204919, 940092730, 913135921, 159666212, 335423659, 800531266, 611551333, 218194946, 294329759, 10280475, 996715858, 394306742, 369057206, 441041395, 435317494, 545297782, 380858217, 299854297, 47840683, 925396647, 760964535, 259036072, 435628122, 9318359, 457648051, 874689320, 617191308, 539098945, 888393297, 349135585, 421125754, 467217872, 987869568, 290979109, 282392721, 631544683, 529191460, 128290110, 694485407, 526491198, 507342555, 449386791, 998604853, 305087180, 252156890, 936380785, 747374308, 16286458, 655606511, 312348998, 410254269, 563145592, 144527816, 776666853, 273489555, 111909669, 979643862, 102538113, 595323710, 481874376, 105184111, 327389075, 723910250, 69401519, 25900893, 420522198, 349507597, 609844755, 638991118, 257026421, 413116143, 484053020, 774726046, 807290132, 313621325, 226184044, 409077828, 334564716, 162450951, 469124519, 974618176, 533446805, 877951999, 813329676, 944678778, 717188644, 936079494, 97394031, 293980044, 705953199, 846297003, 469999655, 76329064, 669218608, 881809867, 775284846, 414924683, 812086975, 141592855, 362340612, 566175027, 497679073, 452324785, 572924373, 273612755, 883931904, 608209549, 168639237, 123799553, 242666274, 568393394, 234362870, 717103554, 835796977, 537931616, 178278294, 529671837, 742629097, 710083942, 327704428, 789762468, 890344619, 819217235, 30722847, 949429838, 796072579, 843608836, 677718923, 303906499, 953025991, 757153128, 853490416, 417538854, 629647652, 271226916, 936800415, 908895746, 766819711, 632731541, 1892620, 287380753, 433978167, 202536764, 566783211, 380751231, 39175573, 257654298, 833790375, 388123765, 964370966, 400146820, 279273369, 799640862, 602464399, 292182576, 888669439, 375852742, 521695857, 468235429, 207358058, 112171963, 768970206, 827700564, 979396619, 968594233, 663447214, 968133272, 402397608, 984691863, 313968004, 443139898, 747407456, 510428994, 301282446, 854323064, 134586183, 290446180, 140194651, 692061244, 347745650, 403070835, 566038621, 263190911, 824914155, 420021323, 575097465, 163325818, 198736710, 951014786, 725526977, 822819846, 243984494, 219056257, 274757169, 318942226, 143446995, 644497608, 796330834, 756916743, 798445574, 595842731, 556945124, 733231325, 598841267, 564086656, 658268190, 747422276, 465975796, 995991824, 196465974, 859199777, 528013341, 240003311, 694061827, 871005392, 916864394, 191112993, 439543955, 304633878, 403503700, 604525481, 21360106, 668904968, 27274988, 675011627, 139091523, 921595939, 442971159, 771967693, 684139434, 157668910, 386057295, 232920242, 671774393, 943080816, 991510625, 837052663, 548171570, 292007619, 358152472, 499845915, 620359834, 509046409, 438658700, 395086605, 220513161, 543779273, 337422880, 968257579, 678307449, 740734863, 173994243, 954979636, 154554925, 995664028, 182424907, 506451559, 596206282, 76926290, 495093028, 968105799, 820597058, 283032771, 85225655, 108930197, 922041280, 621220546, 151108127, 144234332, 534236490, 854509687, 70123582, 453644994, 979444090, 262562680, 495185864, 229519022, 76597089, 791134248, 834087650, 445913080, 465613009, 915047715, 213903210, 895786509, 975262075, 81020612, 434289057, 928186179, 102454553, 596477775, 426176342, 115923022, 850964463, 674884101, 969565704, 490979214, 572552029, 828424226, 331031216, 684216921, 367151547, 34395541, 486376772, 868705685, 316920679, 511797680, 759512501, 702132200, 21782046, 496743429, 766536116, 507816075, 793954695, 31716303, 531195812, 399956284, 307779266, 814904431, 325904664, 930288013, 464023681, 592803438, 136661761, 251777647, 763987122, 116967067, 32195446, 568004645, 291964493, 128785421, 216075226, 859981678, 959787065, 362866162, 634052227, 21185688, 372128741, 84691095, 996614217, 960363211, 413230263, 324834293, 137476891, 182517397, 253938684, 744058636, 839206499, 587170376, 890388033, 612115615, 779647051, 144920552, 661183386, 46105477, 199398523, 126655110, 963170718, 656893858, 441353425, 684930139, 547876360, 158905, 698626522, 346609563, 27981364, 574102811, 441500490, 552396699, 252501058, 953741451, 221121610, 866281343, 203097669, 865656256, 599532286, 679841315, 952103958, 275622919, 599816702, 297049582, 621952449, 229316019, 839945945, 972354149, 914390668, 564655975, 236113520, 187208675, 978737794, 225222530, 513569133, 838365928, 881729719, 970785509, 368858763, 819087815, 929749153, 483322352, 517932450, 233559928, 263312815, 22978158, 355690553, 778877836, 936799384, 890816849, 140010172, 888203235, 736020544, 870235857, 351225948, 728532062, 283482452, 964361230, 372584606, 538187448, 752032542, 687869736, 802893516, 812838457, 13417346, 316760566, 109610894, 72128527, 4840279, 396369825, 667379957, 207053282, 697967514, 457587081, 907485850, 499273681, 445567852, 129533655, 27466177, 280656420, 588952668, 374115844, 161828227, 268276269, 105260569, 737868670, 644577184, 858909494, 31911312, 668701642, 841091762, 17708331, 433928564, 665611896, 174634219, 23106475, 465415797, 229296313, 292514542, 85373874, 810125266, 845249199, 246244523, 817951932, 586951386, 397648508, 77486040, 572745055, 446041441, 902493319, 419644633, 870268944, 198066945, 706043622, 74588927, 587889495, 147972707, 229169712, 581673978, 432135355, 850441787, 191348783, 449492821, 180150647, 924881852, 144698017, 661742270, 841705818, 396981347, 689381797, 776566663, 954998811, 582761194, 701735129, 99219420, 496918939, 508288088, 386318431, 195127096, 90198647, 314105750, 113208370, 131509327, 373340658, 817423393, 133919868, 755180193, 569166670, 775539429, 851096824, 482915984, 666385163, 495105089, 226794771, 490563589, 76115625, 8883989, 434067525, 66558067, 307870331, 210404050, 920795979, 420418583, 632321568, 530362138, 372506574, 679457705, 552832499, 45226917, 995998298, 659023983, 243381718, 736833674, 562842487, 197584414, 429209136, 460665018, 215576745, 505993136, 163993880, 835770675, 839717017, 669378308, 146792915, 264557834, 732912335, 588422828, 888804579, 297286304, 29972326, 583248230, 269470868, 220909591, 590376413, 940815575, 909670409, 799105473, 666533026, 50157067, 151375690, 906684910, 305483782, 917830948, 243964080, 892754951, 434909498, 143306197, 479719451, 90832822, 194781413, 623043754, 336307744, 174312238, 336253789, 759629886, 638454792, 325565507, 261814314, 693500730, 54716070, 241258921, 131187466, 538725789, 336550264, 580058271, 209457723, 801895638, 526126932, 550017166, 273325591, 855316270, 482366052, 665665863, 276647701, 946674979, 435372385, 364750682, 228822623, 396439515, 100427476, 424316370, 787070883, 73904359, 971799036, 564626782, 915696841, 790203540, 696918800, 394326616, 815732458, 730091287, 222334009, 166259364, 352223157, 941698622, 269888631, 472717014, 621284272, 157871192, 938053698, 427200904, 904959489, 297487945, 723780210, 983417012, 699236586, 550327808, 556872920, 472213753, 977612602, 694359569, 154536031, 957427732, 490662015, 261089974, 487238161, 393864277, 787119381, 184561525, 84367990, 878332739, 879785846, 470979374, 968739962, 613854669, 220356263, 195682041, 534834529, 231746624, 309349494, 23894170, 727827597, 579496458, 442219632, 187740, 732354195, 616830866, 264528847, 187023267, 972864336, 495888442, 497125668, 47794109, 208897096, 100392629, 635092670, 383419324, 463845485, 278562302, 991372028, 332957423, 96651796, 656420552, 964223818, 35771433, 123149498, 228282047, 759116291, 858929586, 639725777, 820052716, 825320131, 502349163, 133923764, 813748228, 315444108, 661731900, 643756456, 690065629, 910043017, 265838913, 63758003, 803808118, 864914163, 114631325, 133086894, 356454000, 69988307, 241714886, 522491068, 386434381, 55763119, 103727757, 917893310, 81524838, 526712879, 193740022, 123975318, 559281462, 75590425, 333126172, 481019243, 186426676, 593994035, 225758446, 439588671, 32112872, 378728443, 91365226, 282487305, 229917835, 826498746, 881685297, 307741458, 173884910, 640624687, 219477721, 600917425, 866440523, 291841179, 634373983, 27442405, 71249426, 553708258, 613900025, 316145012, 651004939, 131358481, 937155100, 322969785, 58384292, 263158339, 531431384, 345035443, 202112992, 832914571, 807358126, 177165069, 832957194, 986910306, 59456900, 244740590, 667123224, 424887886, 113482451, 179765110, 860178639, 372250754, 229611095, 605882494, 656317386, 151303116, 756995494, 870859613, 763876147, 269938522, 307621164, 471117632, 360650934, 214611668, 226482732, 567897285, 63345534, 844229523, 202776159, 649545566, 676482544, 377851299, 748777169, 821246865, 393644394, 933265659, 485037844, 173722412, 616767109, 139497429, 450065701, 338086945, 934199080, 913760661, 14433035, 701077263, 455898488, 957604961, 140522244, 811022995, 856996116, 865099790, 709592100, 393629128, 364693270, 905149788, 196797857, 405669273, 969138926, 245218054, 835136883, 724743101, 265125478, 675449462, 61872795, 556918069, 974590342, 830304978, 698487046, 312526867, 388205891, 734520323, 839139611, 718976431, 834170337, 920920336, 967075233, 702345758, 77436243, 643775069, 885253056, 536353221, 711617081, 427772504, 781604665, 292657831, 964242738, 845465770, 623340138, 70760128, 734528810, 64166766, 943954866, 690755152, 365421437, 891556585, 940747755, 589367343, 295745545, 369693098, 703232606, 872997542, 821558493, 858123354, 211020882, 990604794, 688914515, 733896893, 515351596, 592869613, 2405117, 323023512, 167506287, 868109190, 195666393, 635510488, 421369318, 737859370, 892507909, 527321298, 64972594, 609891649, 988156614, 137909716, 119064581, 419951721, 740381161, 998602896, 281530563, 847607595, 368909551, 320583220, 726512051, 225255808, 73481240, 490846455, 797144294, 529105263, 89305411, 792199098, 111843154, 581574634, 749577565, 304747342, 408277115, 357145124, 114004884, 76730812, 796982054, 745437600, 528624509, 518234903, 165426190, 330010985, 260705031, 185379829, 142583846, 837090307, 605035018, 540196944, 524292146, 247913690, 234360293, 505485598, 983515861, 228188232, 790676679, 335219939, 644241988, 297163, 448698850, 499525201, 976191209, 321484534, 527181161, 232992268, 231978073, 291222666, 222688810, 22920577, 140971131, 438719909, 645897115, 531981304, 385421689, 224957647, 517324423, 824291620, 949784319, 368693066, 438311042, 663362255, 99685848, 446024943, 512678467, 30174645, 421466294, 411030046, 43009129, 854868509, 180948899, 223438951, 107683810, 86189238, 892639228, 531078427, 373779856, 4365716, 686420388, 96784711, 528409452, 82338264, 540568341, 697759606, 513975022, 946601475, 879325869, 523710898, 476588997, 503682654, 937480602, 890484331, 679089787, 202046090, 79923457, 586276921, 357815656, 661614388, 582434081, 225744934, 619807780, 394620102, 66295075, 374834604, 703984967, 608625890, 427360429, 866395769, 954812242, 552276694, 830477440, 729779280, 634132253, 288705843, 966474648, 222530951, 443078722, 498810527, 208527717, 327938791, 890831427, 46479945, 665484128, 477969504, 49496094, 148630265, 521987361, 114877623, 222534003, 805487264, 273227317, 377952290, 284087131, 996068885, 361980484, 460128667, 500639034, 638990910, 685465212, 916496762, 921973425, 694160138, 653694304, 530414123, 119327506, 918491677, 258699091, 498185140, 395157347, 38568977, 105593445, 181121520, 471624249, 514528223, 318748966, 824282766, 85598954, 94697813, 875277489, 833868061, 932387625, 841921180, 773690515, 358585786, 707724060, 916378145, 515550294, 1493696, 286811871, 120578641, 183159325, 526744706, 571356459, 160209938, 665424538, 223623057, 819543072, 257904770, 13605566, 66759590, 852968545, 726808529, 432423776, 739327348, 559757686, 572802230, 18392611, 83012372, 247237893, 804346267, 582028920, 512440966, 950239955, 11475306, 743259819, 166734700, 807958330, 636885074, 122580116, 534645013, 129653693, 34273531, 174685566, 562968875, 587763020, 122353778, 145513399, 925555309, 119966936, 235383508, 745997554, 423478118, 311851226, 440131586, 820599844, 576649988, 363158948, 206274914, 729775905, 103476304, 907557544, 145668634, 565606238, 746219111, 563744522, 810511458, 979190213, 919014956, 124646898, 492932213, 12714067, 972206215, 223710159, 40860685, 380550405, 609306582, 127233435, 546294339, 634445113, 25163382, 755855587, 779771099, 168181090, 562635567, 252139729, 488057304, 989636666, 345793711, 230362952, 802246609, 700541390, 964708886, 401731712, 351777784, 383465265, 102739027, 87229067, 911838970, 763513963, 247635501, 948592242, 607325378, 792300641, 446199191, 144808541, 695932770, 487459216, 787430326, 623340757, 894659726, 708731128, 483719880, 956502573, 144395223, 929576716, 885850002, 975852729, 448707865, 509013330, 292983280, 183928524, 332042492, 215118825, 753889820, 15938710, 100879573, 360365510, 288016894, 857058842, 864890412, 36910606, 366920479, 417426487, 634456834, 188594508, 916222579, 768497989, 606831283, 828017078, 737007121, 845993646, 210782426, 961621524, 844049867, 278605578, 84637449, 124674351, 410971463, 471602149, 423612620, 600110852, 262920511, 668688259, 447418369, 804855662, 564354877, 10006608, 797819480, 57818685, 690343187, 231487841, 588018007, 253610211, 257687443, 869570927, 631311750, 468878203, 940874166, 322029549, 464377636, 530525377, 746508009, 896304649, 870386910, 677065446, 574192820, 26970849, 679997766, 603205886, 979793712, 785099226, 302101111, 200132016, 474361124, 558018176, 126289156, 458322436, 844895821, 302568684, 492895008, 40502578, 627080322, 328861704, 341905260, 409734884, 292918154, 876837899, 624684540, 306127152, 718162784, 557563237, 598119321, 503305861, 277545400, 96032143, 974289501, 527954176, 114955644, 638752306, 964131272, 48697585, 545032203, 143810022, 955311816, 159627015, 478827688, 834098364, 617720381, 927391939, 420854661, 896272032, 303159914, 166759114, 811137308, 513714543, 211507638, 15602527, 645031308, 516613436, 774926894, 706268097, 539618869, 954495062, 986920021, 31974736, 436153026, 888880994, 887762759, 273818288, 972451583, 983871252, 629319627, 503403980, 289067510, 463510357, 455674122, 370930213, 29155154, 436053915, 265326917, 745988590, 683733830, 944196735, 33484006, 298112330, 911548598, 596165061, 917392933, 712337484, 294266421, 222226715, 69744853, 617789792, 81221151, 769849920, 441646449, 179473804, 936374814, 251292175, 93801420, 225848534, 927568546, 142159828, 529884385, 529179741, 539618448, 925287096, 681473740, 178411906, 140054018, 248021256, 398152659, 101533723, 998117023, 779306684, 141956429, 127697751, 356946781, 213507618, 647700876, 913727706, 169623124, 406381813, 439840287, 856721779, 298631271, 177448575, 305274997, 48268875, 805899650, 55146656, 440533876, 953156711, 369350015, 402127551, 613649269, 545760174, 897363918, 615507763, 729320973, 326593812, 167879111, 940491290, 488487081, 341691670, 564373404, 631215795, 615936159, 513819211, 368530540, 870154303, 250393521, 170094493, 926730587, 173457401, 997803945, 512995295, 668969830, 98850599, 465253565, 534495169, 192483836, 363556051, 984547567, 287523008, 292742716, 468975140, 266383431, 36322612, 630200435, 909536749, 992607725, 208184700, 129912514, 273999629, 626480797, 740817506, 710250524, 502556683, 85550985, 725957355, 41766650, 502765964, 947085642, 766255416, 212286591, 77383102, 906629428, 569346133, 48985758, 903429420, 741500816, 159589441, 667921477, 85086534, 128938078, 436355843, 458013114, 807222625, 682439589, 706247330, 23420410, 833500745, 690816690, 623309818, 532842962, 214699212, 841121682, 863429514, 405997568, 560990076, 727955830, 726021315, 882665249, 799354436, 671104439, 80751002, 77889158, 335157287, 932715297, 262589848, 62785560, 825059102, 251189497, 829625494, 560016461, 994484021, 642293924, 642427621, 891909450, 607505778, 243904409, 642401111, 278807871, 208381814, 364686162, 648789449, 236651718, 245087252, 989224924, 799300482, 845396540, 479279042, 521768532, 156223619, 821922953, 314912167, 724496411, 656764655, 978739518, 430245392, 191930989, 88279139, 431659080, 693176839, 165658044, 597541809, 185678887, 842447640, 684061226, 453691428, 824033619, 869138065, 693806589, 946639360, 210090813, 250036573, 663579605, 146811117, 61613102, 246315775, 286001732, 191703160, 404547853, 845553762, 638274496, 762190810, 722708248, 536377244, 547999792, 381555413, 7330998, 980228165, 674554121, 794866520, 399013501, 367689060, 276860064, 820934024, 978129733, 976353264, 862315573, 252967131, 290946748, 304748981, 488900870, 315547114, 261198586, 777432195, 148404770, 245107947, 574400061, 7801143, 100797862, 795408241, 920534859, 747004254, 820721499, 562573381, 263067150, 197074699, 586515261, 401181505, 399822174, 500148247, 655202362, 896155427, 307913351, 328288976, 403767602, 532113945, 297794492, 520533705, 403013653, 991377415, 605776450, 435682552, 785872773, 424925238, 593358660, 156868191, 843238506, 669960590, 862998626, 105592743, 968269002, 948672389, 236630743, 202926037, 991308302, 593882563, 44783667, 583771370, 494403229, 12484289, 506508268, 752553528, 778255333, 195839029, 781632226, 498814968, 740375594, 160723059, 415840716, 127330765, 607158045, 717462603, 348796624, 611856883, 453063437, 212846098, 571968143, 787592691, 404721908, 801934459, 896645450, 569029103, 505694180, 61649005, 761921637, 762921885, 714274692, 621566468, 591148043, 718851043, 449726040, 208105375, 452873649, 301690725, 905497636, 117991340, 132125417, 430242172, 797093770, 772380779, 827672263, 961808334, 885905649, 432777405, 343568380, 585444424, 506770058, 847408438, 320170860, 433313717, 563028385, 759897878, 412942311, 585325073, 806109515, 390929922, 142711836, 208123998, 458165898, 839159768, 863567265, 522554965, 645053303, 161273990, 469712087, 238001365, 580933609, 615832362, 419716408, 683927892, 210842416, 293323805, 401894778, 479868075, 68241399, 135646984, 779799704, 44858655, 906955183, 6126059, 545173540, 272456366, 973459548, 972256160, 74692390, 680213242, 790967699, 859441228, 546881699, 25538635, 453941965, 969673149, 741180146, 233060818, 144012766, 487352293, 452670880, 182176284, 476166110, 774878363, 179793739, 597555669, 630897630, 236980679, 573150714, 99558176, 95920357, 463675353, 187689781, 717926280, 111505322, 374498481, 211294030, 320110452, 32319372, 204677937, 209511675, 637696352, 900209461, 894539628, 784169955, 856595274, 239222799, 89719179, 879339512, 524299201, 512709342, 514493443, 612491531, 402655353, 879332403, 950935309, 668423258, 753070127, 94342579, 877890364, 407986993, 646356293, 781571047, 515059722, 541698726, 851765279, 236977012, 264292341, 772879614, 844095385, 215222391, 226947318, 905680213, 376155211, 496460819, 835446672, 497127940, 987645823, 805196719, 795655731, 127015767, 64013676, 764551266, 204181797, 364351537, 904567417, 495461954, 567918887, 40065282, 658812114, 333456744, 101746199, 617995221, 819632107, 926525411, 393031579, 737044377, 12096313, 587288120, 900681161, 360424369, 191557396, 595106397, 360498429, 840270187, 825811619, 387844476, 479214030, 577845388, 19522144, 271617544, 897496618, 100240031, 421388168, 511078774, 697401462, 2847414, 960206885, 567695114, 8942094, 327761295, 773797430, 329124689, 1070775, 42813933, 375350724, 366395721, 318649751, 532842263, 258408806, 811026169, 549266343, 969543240, 413071714, 91895855, 243855707, 518305154, 966580873, 413559808, 41782270, 900957062, 122728790, 641979999, 202622652, 438450654, 103518179, 767457030, 94407829, 447084778, 987038261, 368090346, 402539184, 508035741, 45307599, 764903510, 148215974, 103739806, 792337999, 793596856, 554294093, 303272971, 10937667, 815500801, 1201387, 814246355, 113264062, 884670643, 228969912, 486067439, 50040031, 856229740, 5245211, 197786008, 452549367, 485361263, 172479938, 541628237, 58193476, 588920462, 591795564, 663707863, 590583262, 759970077, 372631191, 767265183, 25338929, 905179513, 884312359, 472498201, 75921202, 972014241, 919117178, 314855462, 449380244, 494681080, 796316857, 265250945, 178075294, 174378720, 179240340, 884264700, 125729848, 686924861, 999334820, 534197820, 148251941, 574969655, 507698758, 138232853, 828913257, 333423604, 865617453, 338314161, 337209535, 989264682, 321511669, 58610142, 117155956, 294105343, 139570196, 248698784, 75516385, 782773129, 967934515, 591824927, 968996640, 57772953, 814466757, 879520218, 74945156, 732237660, 295580119, 507806324, 114977248, 282676644, 15916365, 106928443, 401120202, 143750421, 100940810, 291017475, 102736053, 874917751, 101734205, 729314311, 699301584, 610055373, 178310327, 757716330, 448258561, 435999441, 175280119, 967008821, 79307392, 484530902, 633482023, 917335568, 160779059, 593738408, 579677310, 624623764, 338755128, 572470551, 146781439, 630326264, 944027306, 399645863, 988498934, 709574880, 605416044, 210251506, 423392745, 242295210, 749281875, 708035836, 615613219, 541286540, 786122102, 753924422, 927343726, 99129873, 847846921, 218105320, 760846005, 880488145, 389636939, 622162134, 778513479, 133368303, 993159180, 755700502, 335555481, 887759899, 886872791, 450170417, 879407282, 881496310, 47204625, 847273497, 656344634, 4900219, 594055922, 140666469, 394162002, 187693001, 183244442, 213561494, 734237212, 727160440, 123023142, 438769780, 478027807, 219243778, 484167673, 581337837, 586420040, 270518628, 87895561, 937255932, 106498779, 396238147, 425171843, 929313058, 247494450, 813192283, 115507370, 183453336, 792630667, 800019636, 87681126, 317675284, 40307889, 292321037, 905426226, 39338957, 836155024, 294880652, 468129158, 36661880, 998609368, 347636150, 208154210, 408973718, 44230871, 989707503, 597750522, 432386330, 787763238, 248259424, 731109681, 457159011, 566956, 586594866, 41512029, 100662668, 296633217, 633905950, 783673212, 886910894, 422931356, 944348616, 756298884, 386626157, 440832423, 175575617, 960475414, 5438370, 525057067, 39809783, 337092226, 163035914, 54220008, 271692113, 277233777, 426518185, 980713812, 598978017, 149753661, 398795574, 630339370, 26650818, 152257671, 500971410, 186956039, 816141362, 881137133, 814871390, 916350182, 339716193, 435164759, 706090084, 239747506, 365756435, 786026881, 510185356, 751588910, 879715442, 28894495, 800767426, 82298510, 902885733, 141790022, 637007667, 243761178, 329216089, 16430943, 479258332, 864611125, 372415641, 801812503, 327091565, 729666532, 319662824, 732109941, 178762291, 584571472, 853581389, 921981559, 91966392, 364795567, 587938450, 729425764, 507957612, 864806715, 836287492, 659418179, 242175737, 831515044, 948389290, 550236985, 940254988, 206055765, 198468569, 261429289, 20580006, 176892430, 170317827, 378544467, 800038116, 976850022, 902716292, 25107985, 298586132, 897999707, 70993381, 427338297, 700779604, 744321334, 467362183, 490479302, 38817962, 857067980, 994233227, 843679462, 420854966, 128160402, 846998369, 658238282, 573446184, 106573074, 621722187, 621683453, 635878714, 843867577, 2458050, 694052209, 762211724, 286197456, 617234570, 418233425, 736438006, 308816928, 130099301, 307573998, 287293470, 161678480, 677355310, 506198042, 562771228, 753875167, 706671927, 443233900, 356679775, 352234249, 223116351, 444540979, 782016431, 794798924, 242624989, 545286392, 253913076, 870317015, 716258246, 717218777, 219471967, 446484779, 505849694, 666886378, 768140744, 467501185, 650280527, 602503397, 24197233, 826009768, 103134868, 901463765, 229498243, 70147768, 154086278, 990270278, 729842895, 531368972, 390859070, 651416991, 470598977, 89178469, 726912823, 64313058, 761996386, 181412766, 786556527, 796470930, 996519655, 904481226, 543906603, 433075512, 604921289, 828152469, 378677460, 923068541, 584288134, 409553741, 200650734, 623706219, 81604982, 607160574, 455412205, 274638356, 545137918, 700002295, 555874695, 456173103, 433181944, 216692670, 342290167, 709336141, 152860447, 462445929, 101805040, 133573590, 369775206, 93231740, 805290244, 119581420, 884575645, 744399260, 98542532, 284685821, 127123212, 280987464, 646053252, 35446495, 555698040, 944483176, 867281788, 829874262, 493998003, 260726958, 789740101, 429885728, 176660251, 644914512, 389757195, 237952679, 739939873, 951283729, 946083910, 996284428, 446008237, 641750011, 494398137, 661327626, 370051432, 541849794, 500665153, 70862501, 313997436, 413323395, 690317619, 180420116, 643335433, 445604115, 614783501, 20053634, 792024778, 554982531, 535065450, 149803219, 55255381, 345877856, 839963634, 845807311, 721236169, 949127391, 134055492, 815071981, 360471905, 838237090, 162163015, 913239096, 370743054, 565579818, 877067411, 245337220, 281722992, 305557441, 266004831, 711336873, 68917587, 403608861, 416484770, 380012192, 89383184, 313542370, 925620107, 469839679, 411167210, 320015481, 768201388, 693273383, 942540000, 831724930, 769835299, 450637806, 934278292, 913799858, 434029191, 523849057, 375525546, 928307655, 369269869, 899318047, 200869984, 474580545, 510674728, 622044542, 166689276, 597363363, 109551750, 89000848, 891482864, 980196173, 770911175, 760492085, 991705162, 799978892, 675481054, 155385392, 459865052, 564370206, 33415674, 46262211, 37120505, 390692885, 814396790, 873245155, 6951939, 953421514, 557633724, 277141142, 267396714, 960859056, 330906971, 427236138, 650915703, 61131436, 786788665, 404345325, 363094919, 568469436, 772166468, 46164131, 691201555, 857836090, 207666322, 180711311, 398887866, 271909009, 510545900, 185545300, 433536852, 18024763, 347155411, 365384020, 9664755, 429919961, 339305228, 754057342, 411344789, 24595413, 179785873, 780665585, 706510128, 369321433, 585830569, 237099967, 498210176, 742391246, 445330217, 283777675, 410404925, 593162758, 930275599, 197179683, 283330221, 894466080, 342885605, 339550870, 462608738, 421670310, 564597115, 177296099, 675016329, 36246039, 41647346, 245706124, 894593821, 473701600, 169638591, 483657613, 962292707, 892470222, 90442360, 437947172, 45643531, 460591297, 825142735, 536283557, 809346011, 885327188, 326963645, 196288550, 416527113, 823075813, 728715845, 411506406, 741460331, 592275125, 965486472, 575309234, 113331285, 860018784, 284683860, 313509834, 30890028, 933122081, 36503694, 270760667, 383359138, 999650774, 630340380, 601413470, 316397928, 25242741, 607604380, 461614534, 62416655, 457205832, 142293289, 157996740, 252068133, 12361039, 639304505, 151435001, 494600090, 191174352, 556053620, 903763415, 754789303, 854844340, 675799274, 385151889, 229054896, 30040062, 648965248, 566835689, 564591660, 714995500, 695746970, 730408564, 658546016, 19277563, 364957967, 735253372, 956443084, 586269636, 539152790, 178364331, 179915395, 717286111, 695148372, 637240014, 731417684, 310370073, 873498238, 745556497, 388475335, 371060097, 904510995, 802221515, 582145589, 625102821, 425092851, 656539517, 900383370, 383864704, 175550286, 46357285, 365780139, 947927570, 584941720, 210754429, 29426985, 466030280, 351901808, 197222593, 504001913, 870465847, 460792615, 779189742, 968677244, 506244323, 207240550, 70362070, 603369610, 315236423, 226479171, 141495637, 453946751, 347591141, 839682512, 483929931, 706230521, 355395849, 984593801, 69013680, 517998396, 711323066, 395713163, 255201229, 120047201, 153606515, 510797931, 930045207, 509646452, 78073144, 603989550, 741863241, 599176515, 539995343, 240427074, 916236828, 684223632, 494784052, 226672558, 591057042, 752883359, 452837395, 538715086, 206897188, 911919012, 606596285, 855681718, 614153241, 306646044, 624530378, 732934476, 719898570, 868942993, 348240379, 852506563, 140557326, 586694771, 712650640, 828831717, 880988884, 5498789, 600821719, 451731948, 746542169, 434129765, 195405235, 758893117, 107694449, 605882104, 380168326, 581356102, 720878792, 248783449, 44231247, 998401501, 92000472, 624957738, 440594835, 435037854, 453670036, 571538270, 784321066, 311425280, 391378239, 975152816, 859443221, 789410516, 779713166, 415841295, 181947099, 868012409, 412433218, 271348525, 198631872, 432263383, 467662827, 715095613, 892789682, 401971931, 951256758, 881550421, 842851524, 284497079, 242477807, 512456242, 653686947, 141570634, 729245036, 476002290, 910890245, 903874956, 727540677, 907372907, 297838735, 670810652, 94179839, 245107839, 427489487, 645687331, 140639787, 280563281, 460933293, 44612582, 577503889, 829890116, 167431388, 267778917, 310006195, 796582779, 902439146, 339166634, 996462393, 763069193, 370487647, 302263122, 301904214, 496166514, 464810672, 423109277, 910603425, 177694851, 228739421, 662595315, 989979179, 256188946, 362500744, 144830387, 529822663, 131354618, 829469465, 384978464, 519646321, 360765927, 840399030, 288873492, 446028344, 40687637, 644335939, 993345168, 119159155, 253213484, 681473681, 229926640, 87803877, 887655713, 402623318, 678616439, 28588427, 588040772, 1126262, 622874903, 504403918, 611689475, 186116336, 337064678, 985773136, 895603696, 774221178, 310253483, 75406587, 571225996, 823025790, 724456095, 768952292, 784435229, 616700188, 194191708, 90061991, 201214065, 154907076, 938161996, 742732463, 523160148, 279620580, 612972292, 351776938, 440851041, 663445813, 922634276, 111284399, 965131187, 869859529, 643422950, 764967452, 825277119, 710188538, 509539517, 180172729, 766987479, 663711015, 126544133, 108680358, 595961046, 999775804, 249380015, 827703966, 478374087, 622721622, 364489938, 950473773, 910787523, 980094388, 329286102, 943229671, 318537191, 290902820, 728356243, 221729727, 581624765, 226766181, 782257923, 215585376, 74320695, 871230117, 539734037, 228838357, 759889731, 528869749, 775885785, 296250743, 9346279, 78827873, 796513676, 695583143, 767182416, 366524558, 293568485, 665153374, 445572066, 114152003, 873549914, 458682416, 794551203, 749443547, 519589885, 6717085, 351196003, 802468570, 436909262, 9016203, 333209166, 427217039, 213998683, 322872434, 250753477, 925149573, 386203047, 91146005, 645259372, 454915302, 576904613, 436528236, 598896207, 550994846, 167257459, 20113732, 657213989, 428934136, 54738093, 270808126, 809839467, 460822254, 777662662, 382365179, 598626599, 743989505, 781309165, 342003887, 250453212, 519378262, 563928287, 825654111, 528074435, 901349786, 586479157, 551933569, 633652871, 1925256, 183376311, 541201676, 246691447, 319224753, 451926304, 46870193, 758347806, 535732377, 237379273, 140121072, 298314762, 707425468, 563747919, 225263386, 697842762, 941663778, 931436019, 131299228, 813715216, 747984919, 133286180, 124867404, 716487955, 616984589, 486258351, 196668619, 586132507, 87893277, 26353883, 349934334, 715401399, 144620325, 990169710, 826263668, 324704951, 953718622, 142882235, 74793282, 463745756, 908443117, 742822647, 292311244, 799763681, 260934217, 805935776, 942916291, 549509676, 592644695, 144244401, 258966334, 400861428, 771154920, 749358434, 322992851, 824982284, 224045660, 543977788, 398523199, 967518397, 344023881, 571882367, 935612894, 136508809, 641262575, 112645172, 603747006, 126903285, 720214465, 828360152, 765586279, 43091678, 642197057, 771087866, 328583958, 263515116, 760306588, 923856538, 743673141, 160845541, 459810350, 170963770, 958226409, 393152319, 745855038, 336605154, 690028495, 568625004, 830859796, 195411530, 886298911, 590198582, 1810033, 360572911, 487348733, 801706654, 942877947, 215449692, 302195283, 496480013, 512094360, 101429037, 908206650, 888632835, 898030257, 616963151, 88889014, 697963325, 224386269, 291808262, 202079063, 122111336, 362764228, 699350115, 160714742, 608212397, 148058347, 176090810, 50866787, 320739844, 959369540, 683888288, 902105812, 314944523, 95599030, 512594441, 257689902, 352115741, 126727376, 902037367, 594878314, 48866027, 753137477, 240998202, 392992685, 925497984, 401388054, 552579219, 224769900, 98481953, 953760539, 897759967, 56974472, 203212872, 502929704, 243273378, 557279890, 200900415, 642673455, 352866346, 167514593, 939635421, 600989914, 35540479, 416292901, 232847294, 706800702, 631175926, 269126558, 677437298, 700232448, 492129246, 125070034, 331903331, 693638784, 916658549, 758389966, 94409759, 417911937, 557679900, 687574830, 808870036, 147494664, 841584610, 690464822, 269744702, 115200388, 350346083, 692191734, 853484276, 730577749, 513492365, 500432518, 32888194, 677654303, 137455513, 323671968, 310495737, 640877454, 123242345, 767443947, 949628817, 842824345, 14905313, 171093503, 335330887, 350151325, 354564774, 588921924, 823182690, 610534862, 537716577, 806776991, 476588836, 376009833, 55604779, 132012358, 266298940, 73180704, 588089674, 246475230, 886598267, 874066789, 994592177, 611922566, 672327342, 732460080, 339843865, 588977632, 361200044, 729019950, 787956935, 745019770, 887330529, 489341485, 674967036, 758832319, 352308254, 27543823, 217269087, 734334680, 837958496, 866163044, 710967130, 168131772, 846390208, 214431654, 367987628, 761004517, 975408612, 732519431, 908312249, 640015554, 267804854, 561661209, 209787062, 512836598, 462660178, 191283014, 510824749, 592308920, 979537183, 905234127, 842560353, 421134090, 291502139, 213739898, 244599138, 446363711, 788555725, 733339086, 382013489, 190255789, 513977479, 373312151, 271365380, 949822238, 230837540, 347984411, 13569898, 112174637, 478555026, 660871897, 720667999, 777474168, 115779698, 463199701, 430216693, 934097317, 471921045, 91850628, 130219282, 739771101, 102087573, 798115097, 516626877, 993767031, 852198703, 588393118, 580574673, 524319647, 340658345, 48575616, 607049264, 102591903, 164426346, 28075347, 829198862, 722898117, 821563365, 830000206, 731995900, 50681376, 9468556, 367631452, 124485313, 508842155, 549453360, 942452409, 670564670, 615230772, 356952925, 384439628, 877200020, 491129205, 296757572, 858705582, 740859256, 228429900, 975871560, 173143188, 315971800, 914061119, 484665060, 747778799, 626222307, 627568451, 310628248, 779864569, 653098516, 938255542, 292202603, 37629150, 289896693, 314482712, 601220573, 387162759, 958501044, 788653029, 750898166, 881487199, 203172838, 78729167, 334263041, 854053566, 433572670, 593614272, 447087120, 631717127, 533140948, 17077726, 886131709, 636141808, 101514555, 954417551, 296352494, 803672725, 914371600, 822037161, 299923350, 812455679, 459761967, 42464997, 254645728, 602872918, 277842263, 106882194, 533159450, 861486763, 996743275, 72956312, 442505270, 600981444, 980965715, 313261605, 99249770, 342878598, 199198133, 791152933, 857910455, 325543347, 721434677, 56624333, 497859518, 837043063, 930267370, 4720500, 343062817, 649610092, 970591431, 417094847, 978359733, 597413067, 256922018, 633024948, 196155088, 869462175, 862597170, 744845170, 306450881, 120381566, 626066816, 700452371, 153661639, 925811473, 419151459, 825038855, 696281672, 281118236, 536943847, 572952903, 985363798, 929512712, 155332403, 344233777, 171650713, 966751823, 669206667, 684238328, 919507229, 278927231, 133171972, 89800805, 335753219, 422154814, 825218948, 743453718, 400922233, 375251099, 420125923, 728338690, 256668343, 561743615, 450817483, 270280069, 598969336, 488490183, 171947900, 482515899, 443990499, 491695214, 179465706, 584366783, 323337054, 610319883, 607030747, 754664683, 623442218, 544529872, 209406916, 184070187, 218465518, 94376472, 130112401, 269250530, 20142092, 956492836, 116380963, 97095841, 104706941, 798010735, 11509645, 340929803, 158803704, 43832140, 385257866, 313154222, 22000593, 506100462, 849370047, 787491645, 213582768, 763405144, 548349600, 392874432, 854000543, 781432744, 428308161, 157756852, 59194494, 330777032, 599256205, 42794255, 96613379, 373692648, 197625993, 461513716, 443213425, 983865993, 233259736, 272213433, 796585752, 144224798, 479046504, 600019389, 924247870, 621816693, 349622903, 175689659, 145617825, 870844653, 72482253, 580256784, 862626822, 79423232, 816691361, 544565188, 62286176, 427192235, 770614070, 559419284, 195468410, 313622853, 998013074, 269630637, 10319621, 515673207, 406361672, 880458184, 653311203, 207772272, 869090753, 20219974, 131177342, 150264742, 64449057, 733395939, 469787880, 718290784, 245744452, 610355944, 631425972, 834789793, 961061669, 504886730, 302892829, 287222236, 359043765, 783139435, 213518070, 739929537, 284186460, 860393588, 6602091, 117519805, 177078433, 400889537, 235280967, 76341180, 69261279, 241111739, 700939571, 434351453, 629233940, 167761412, 49390756, 252855945, 14119319, 464936505, 227818142, 642885945, 68674486, 715000309, 267122957, 696413231, 146467127, 793006100, 597593264, 65848633, 911379436, 819254455, 772182057, 624138651, 593165899, 439455290, 855817464, 102795386, 880009062, 174202208, 944081658, 270437267, 489343578, 923191772, 17490706, 656114667, 645670076, 415342915, 322015236, 742109455, 406933230, 181467538, 912192047, 129787521, 315284754, 195865596, 375740064, 429103738, 284288747, 905673226, 233269225, 994334651, 147244910, 827694642, 960452773, 957338670, 387300459, 951269519, 952043937, 802048372, 583503389, 595363954, 598677385, 677812530, 617704702, 801528963, 207138846, 13569224, 23281554, 602148900, 301687163, 209297871, 32444801, 618420957, 767965156, 889180711, 6709594, 491087800, 568029561, 187214396, 813434197, 138193353, 171152548, 111422859, 820784686, 220970556, 324937004, 222318269, 379305784, 359101948, 176929510, 241263930, 100868839, 343104869, 490874792, 902144593, 319030684, 844940842, 896948492, 985426562, 666195722, 447159813, 963824352, 921527068, 270465466, 232360248, 726214419, 223059729, 431399179, 409530927, 867029404, 988742849, 325962591, 606271263, 976650484, 430166170, 823646155, 965605853, 215933008, 655036168, 256162343, 151375092, 41398651, 433659928, 370322143, 614421357, 101155850, 551521000, 579116291, 897938369, 169010241, 971733618, 300972287, 699678920, 834151311, 757445766, 750724311, 939819221, 280222369, 998015327, 646898493, 602439793, 75757562, 520673231, 601396688, 503851428, 921593141, 289318689, 645243001, 15241732, 966146930, 176740784, 198053177, 972400634, 310571346, 873112589, 315093123, 555625194, 620605568, 295959749, 381075016, 558839323, 915630999, 383621769, 93801851, 930284333, 384363643, 949383904, 720174342, 505132615, 468761268, 968734124, 565323933, 913418683, 135762185, 343953763, 518992338, 340581600, 586553447, 168695518, 742347997, 264982490, 936328602, 940006669, 29110776, 771415544, 997760074, 375909238, 389001959, 557341801, 433438983, 841527058, 685425776, 542428344, 591611368, 448179246, 824023513, 651654517, 279974934, 292037044, 212481217, 961044728, 945278806, 479870144, 455208327, 818412345, 649924454, 917427469, 626407198, 247093633, 878256019, 943980281, 79600848, 307241997, 769992554, 259601344, 198877320, 182170076, 476334376, 580069867, 437460587, 446978551, 702583520, 292793273, 430833191, 473183850, 98421621, 985132218, 266514141, 448591185, 364988325, 925127307, 158368887, 519945413, 428833889, 900865042, 349748611, 846180951, 191550901, 904091929, 381363734, 286433212, 481302731, 4195519, 552892267, 98651957, 165271444, 143282317, 395862308, 557981135, 932240323, 511211359, 735545563, 996873242, 29478707, 87521820, 763189459, 667072482, 162578508, 854706103, 184646012, 891147707, 783790910, 528874106, 877535216, 527410088, 62485780, 875857166, 738122550, 160596556, 279844205, 290571470, 726791738, 179549095, 531408556, 996411131, 593195282, 27106194, 985279911, 918059058, 144463801, 147127737, 748535275, 886005506, 125500959, 591254245, 496754619, 575973760, 802260278, 200406460, 103433268, 230298400, 744948332, 803233456, 991680098, 400272203, 249695530, 832879214, 775918575, 760074250, 932411634, 591020691, 853969878, 761948056, 53629884, 487582934, 619335556, 444900737, 781252828, 332746508, 678107679, 750290247, 934029440, 490041258, 627899093, 820220512, 206413881, 786586577, 153641521, 598125327, 390394228, 299276859, 328992552, 124559755, 242189970, 641080965, 543094805, 324069343, 715465709, 719914738, 183712743, 75561158, 416218598, 5858903, 99646881, 578940937, 587018792, 275792673, 406952079, 136488714, 32389325, 562389175, 829554862, 88304306, 271536071, 276805940, 225148607, 311979651, 513163828, 938762483, 701971456, 718025051, 524163441, 201373878, 566762226, 493697577, 249702262, 167106337, 513340431, 271307670, 262813390, 471509161, 427814468, 75458777, 518536572, 575415913, 127654975, 972077645, 370764862, 531421890, 636300597, 10601968, 426306835, 591595304, 751980509, 335911543, 448536844, 19717366, 785296340, 117635603, 114992183, 223500417, 404160681, 749086733, 335599558, 689329048, 644731982, 330160272, 502144191, 832412682, 239378069, 258460129, 40473753, 362685657, 415773639, 683970980, 158336038, 714636048, 102404828, 485837534, 612009054, 640122922, 575595328, 106683393, 10956757, 335758513, 962629426, 47327849, 914666161, 671021581, 850154856, 8548262, 380743038, 301608244, 430243850, 806627096, 587342818, 407522376, 245294309, 945482463, 612881114, 18187243, 281975708, 257303067, 794306753, 155970207, 340345844, 400946170, 806353892, 544434500, 703897933, 442355185, 316581294, 684189408, 621938175, 208690508, 222799275, 554002812, 31883387, 532508137, 154575732, 424080798, 249136547, 467039511, 236867270, 681401980, 847246268, 851069138, 284281864, 981088812, 809649355, 308627605, 614907789, 861389527, 327657526, 736204679, 562074367, 97154324, 144242884, 677620782, 253993252, 6025289, 353517496, 559744377, 640464975, 660609842, 20854831, 548420541, 51549722, 525675310, 41115447, 120963189, 563180152, 492050967, 664735473, 534918277, 345073315, 187448148, 746965645, 553517931, 839936618, 264860851, 569074008, 6870573, 328639464, 989028437, 639571797, 548173522, 135303194, 980905590, 456443591, 535198172, 530395197, 446504348, 837047899, 686727657, 381449129, 519765706, 424540040, 645769820, 641105100, 290912226, 858791554, 461161802, 419304377, 295939139, 745756683, 33926579, 243059119, 159744542, 602487848, 665325109, 254126239, 416881944, 417750577, 320608170, 228128630, 634630498, 461835599, 342200366, 932479963, 229059220, 833856776, 305728100, 758270896, 967280027, 888729570, 727232250, 765122305, 613894713, 262476780, 449468217, 912232999, 329801062, 296478814, 677789495, 980224308, 363452725, 758379818, 127967386, 864865459, 346395180, 787707428, 227514078, 642885905, 396854655, 729704206, 817558011, 527100601, 740306444, 996170947, 233601668, 705242394, 283654216, 454724353, 811110123, 462434858, 720795391, 776023374, 457833189, 63924965, 608662744, 715858273, 77114085, 930955627, 491674796, 16553004, 398436237, 433617414, 349156562, 403964439, 169020562, 31156080, 11631660, 578166479, 223178570, 990322858, 580442947, 643283999, 536913077, 364292700, 989113098, 126195088, 921244843, 103170949, 68746741, 560853667, 224154570, 998754411, 220905780, 921576270, 233809208, 381853558, 525598085, 743925177, 189810516, 779291553, 218799119, 860777342, 329215468, 346253545, 430616151, 107475751, 215604253, 249689510, 269598529, 25447598, 265070263, 359921829, 967506062, 113258957, 974381912, 806381126, 153637704, 277696792, 741509397, 558247440, 232217984, 564885598, 512518870, 215980162, 657417215, 95778656, 769142300, 197522535, 886114993, 494023256, 785022369, 536841842, 278677087, 491608737, 970541356, 47348690, 370603830, 699763172, 540747851, 423995332, 734113964, 14396512, 52667651, 690773035, 337625602, 625781726, 292786570, 217408386, 800338199, 458857235, 669147255, 26939763, 909496679, 491305129, 503130192, 832770322, 643472559, 22342940, 666896579, 719438996, 290725257, 257387599, 987838991, 432704318, 173648766, 923441872, 545552338, 613708844, 361287576, 136583252, 347127690, 528320472, 39309720, 431411777, 953840021, 121353639, 523181065, 274440138, 92878385, 252479512, 571606185, 928965325, 206819983, 744141114, 49160443, 193051149, 195295084, 559538996, 558900427, 784578185, 708794649, 22566930, 1658474, 857655099, 161142916, 458743720, 567948807, 736328382, 843917922, 321065274, 286110666, 676491589, 83476410, 7561759, 394436957, 667132054, 699669436, 83498581, 535629695, 1003396, 783593553, 428403359, 739239164, 393360118, 336634708, 958260873, 350011959, 257723406, 636540669, 897895729, 471801083, 807832401, 464544422, 33917752, 722449611, 374291163, 979693551, 373438067, 166023636, 953426981, 758195381, 894822198, 748055246, 69502299, 848394258, 90693667, 92400176, 347452350, 919210414, 410731773, 370409206, 589525307, 667407201, 955113407, 379536235, 493618597, 476670661, 376240007, 302941060, 949041618, 590587344, 669354002, 161277984, 746257800, 502635238, 891755315, 566694337, 859529485, 133860971, 493616229, 65533227, 253706283, 236807158, 47821472, 820307622, 995642069, 600065452, 480836143, 545232435, 554366697, 800531889, 794730835, 357093859, 141173133, 859541168, 353520695, 923259519, 486303678, 487739786, 886695909, 208143405, 181845743, 482433343, 753503132, 55525497, 515161332, 494402842, 453162891, 484192428, 332967339, 418814566, 559922655, 245847877, 319457487, 534691871, 441725154, 707249620, 458593156, 594740326, 29842158, 503268762, 982678941, 470236719, 646586313, 520371112, 135948988, 131901277, 799315019, 532422495, 162177424, 450223498, 219021158, 633338566, 409995671, 251042217, 374116598, 305870230, 41289606, 918988421, 789451839, 200411390, 89134397, 688118932, 267757214, 494924471, 646928837, 339580765, 799589742, 596303909, 281061356, 365082586, 49125431, 174728824, 620270686, 931378709, 378420686, 938453360, 976270394, 856832556, 934048475, 40698145, 731613828, 572685620, 555286120, 818890520, 727879563, 60264097, 472907217, 953937854, 580565845, 28685611, 487084993, 215733288, 669972882, 268293848, 290797193, 585412677, 136392297, 831670960, 716304993, 670478175, 568082175, 778986465, 935574287, 374845911, 501285610, 122711572, 314328480, 513910248, 108254074, 760171417, 839298152, 880121563, 510230606, 951380107, 765966769, 699890560, 772966560, 81787297, 869136326, 842794636, 209985653, 117452552, 334817041, 147087135, 905750490, 827675286, 885212900, 667164858, 651763037, 594434906, 737413004, 22509993, 867788023, 782059099, 970204603, 617730144, 471105389, 919456919, 815585044, 317794022, 565666097, 593992655, 601519812, 822392030, 588028143, 919476851, 171845167, 17880208, 624792193, 430570554, 789452833, 554275354, 469704483, 474220676, 984689125, 966619797, 51817810, 36414847, 208026505, 600341889, 82762863, 783518376, 213506720, 201227710, 43316894, 463896783, 22362706, 508175351, 790139712, 845755385, 371513652, 943539140, 978812478, 641554998, 376700902, 955767574, 315505392, 330105210, 844028992, 10175356, 238337176, 59221089, 306415200, 58616633, 291297052, 30664793, 415172814, 910002497, 902615725, 756895577, 686904422, 519265120, 231588460, 466066535, 452661226, 7272133, 528926886, 751394918, 349636619, 867721053, 744812540, 612017067, 740043615, 985750229, 462722200, 628194217, 26728494, 595217683, 926347470, 395225331, 148719610, 18814504, 199525845, 972130268, 210862222, 798880081, 864862198, 502029878, 402310035, 117693298, 328714756, 910806271, 848830764, 410526852, 190819816, 889635554, 449399280, 629036783, 532892571, 290794443, 109691618, 52609812, 515022467, 322501662, 251299700, 112661557, 594534836, 397228264, 545458080, 989540775, 502878995, 869119763, 476973708, 378176745, 548668030, 155740986, 842677881, 450377676, 230898774, 21790045, 735071619, 550916841, 368587772, 56611091, 476044527, 409381692, 778821214, 267430067, 384887660, 260906913, 213804738, 731882011, 497487605, 196537277, 965668240, 996465171, 140168951, 598428497, 61822931, 928469206, 926326264, 583987943, 304871504, 327990, 785709283, 566225656, 232156099, 600241339, 217546863, 636532643, 254643112, 139217081, 814735335, 375095819, 573921663, 749487824, 384241906, 951825004, 580254433, 546244928, 159469428, 942621178, 594964873, 672573417, 97855911, 133807389, 667719641, 29728984, 689053488, 294601878, 190104108, 366615142, 217069600, 990121672, 186467773, 350118129, 649448637, 941380524, 100312232, 967825245, 498752143, 601943538, 310803571, 945092618, 763731090, 406605517, 644565329, 83685935, 926151759, 915578023, 111424391, 479248586, 905447680, 230477733, 222134779, 509024027, 784187129, 699047737, 941384679, 966925157, 17833904, 249007169, 583539467, 33724655, 439801859, 153519275, 116012107, 739941666, 253764574, 666938851, 973986636, 23748639, 962411779, 360033462, 552621249, 18595812, 784399321, 273617586, 809247218, 64204873, 324622318, 845163469, 161494491, 609321880, 930434159, 76759594, 993926631, 970464960, 277299552, 643489078, 172615413, 48775688, 250118529, 132987074, 300940795, 844978537, 210856472, 763068152, 582996834, 869758704, 376568278, 479688411, 547496618, 665518802, 356726800, 327727907, 659765929, 2029785, 758283244, 706510360, 758379690, 616154705, 149235997, 513114784, 889966778, 379639680, 926238919, 484645628, 670675406, 529704705, 774782951, 964744380, 188849972, 60575375, 490126840, 537279510, 663148738, 149735413, 724831019, 331535126, 672990817, 950781634, 759222357, 525764563, 169769276, 509285114, 765449167, 314211041, 718838904, 913969050, 494116362, 691130555, 321550074, 945938054, 748582182, 443682829, 623689884, 755313340, 21360135, 41429208, 385731778, 338420922, 580810768, 264377939, 229467291, 211232914, 189100853, 247092129, 713007500, 585025406, 860002389, 930615396, 923734627, 649783886, 910443228, 558553237, 617411944, 116267811, 311866208, 24546636, 436670695, 65636298, 795143474, 658584852, 491885659, 293394219, 727727581, 870285845, 278915864, 268605831, 37571457, 462083964, 852296455, 887197094, 193495693, 469518771, 933340458, 430706535, 477110114, 721549524, 663014381, 504150067, 537127631, 140222264, 509899521, 419634345, 192941772, 219457847, 284302207, 343699027, 448769754, 614027384, 173163652, 767220256, 831544556, 157970756, 364286611, 142146433, 840047777, 14427812, 646002346, 285834822, 184094831, 766736701, 272791729, 810705803, 378452386, 222649938, 710718341, 986112926, 140321004, 537238975, 504336669, 72847476, 109427532, 846334207, 224810003, 957171669, 804443442, 805229114, 891596815, 696977696, 661493364, 13384778, 570025428, 854567683, 731473367, 55928216, 851151867, 424536364, 602075818, 306584352, 963960675, 808040872, 12490266, 279230478, 453947682, 694674583, 11063580, 680823863, 908976343, 320518728, 923916749, 510011909, 902201008, 749404354, 221573102, 382719190, 83851702, 597874906, 247560720, 658936094, 929569620, 654357797, 418009583, 35680164, 112415477, 523126018, 757982355, 889125076, 970591172, 617168466, 270086742, 816911764, 236912382, 286675919, 945961509, 427224024, 637046, 103576112, 474757585, 509841607, 208946773, 106296307, 945650717, 660477017, 408374865, 347742958, 395510259, 718541505, 889880386, 357725889, 559788706, 367677895, 281732207, 913245579, 861918319, 874819081, 411115758, 423755800, 393544376, 389675648, 532920437, 135631617, 241422292, 998049972, 133844875, 61417756, 409438423, 495655286, 303660893, 752018986, 474923059, 527048704, 8971310, 151306942, 383156107, 361989352, 647656738, 670283352, 611275336, 284965676, 422318172, 321078729, 379045395, 718506565, 906703071, 231441169, 944658162, 394898853, 162092555, 141648609, 725442738, 95147900, 14752664, 745054936, 479121754, 144728882, 767842091, 659533039, 592325330, 635489370, 203016479, 848652963, 517692353, 998398584, 180313171, 893167716, 795723006, 377234247, 437714679, 374742002, 749130904, 665317784, 231864254, 548103274, 786989651, 669334145, 435511449, 361544391, 138729962, 831001299, 713358479, 458845172, 336730110, 560956719, 4368137, 944888759, 879312629, 754979861, 560683455, 107737458, 38786378, 413544315, 362926480, 901049425, 230574760, 664479294, 45744646, 237468601, 441054150, 972248305, 91543086, 11927, 552522826, 578742482, 92400332, 890317396, 79139378, 833181305, 848684788, 818702263, 925299194, 542232153, 993497169, 536860117, 164347090, 895539723, 215431099, 485733081, 159321500, 134036926, 98710710, 597903204, 665605068, 306277888, 353742050, 207944063, 695589741, 973741448, 533154305, 151258960, 900628860, 519847076, 896791159, 269134433, 838952902, 98276589, 530614856, 304664973, 142611287, 329634222, 281685474, 334723767, 567570130, 17559916, 796604144, 387613465, 637653640, 134530189, 279975254, 39569695, 195597991, 192090521, 56790537, 238930389, 968029461, 488129092, 721973771, 29851019, 337401033, 701116115, 880185188, 227479655, 188598375, 117416485, 708333230, 642618056, 591262259, 43558589, 767834111, 890553272, 272987324, 626641231, 399423798, 826794141, 612766293, 743317575, 479652327, 800353248, 873638524, 169744882, 58397258, 272493710, 138601237, 386222516, 646534027, 377734159, 423388558, 656827639, 145186265, 522464209, 188313164, 373205213, 46148603, 896566323, 812558171, 744546532, 839844492, 611463497, 477211938, 518459775, 741860713, 979168240, 975551666, 770570007, 830085493, 261135974, 632441934, 891740875, 939468974, 477488721, 372977196, 361733315, 720997488, 966537899, 381437790, 568443198, 236180626, 677093096, 132176825, 823893213, 818629392, 266410941, 272962160, 806068499, 401563012, 415651999, 115405728, 560008132, 227045755, 876128066, 14738356, 835495550, 297824662, 487310989, 765296184, 518440698, 179222182, 990697711, 21410854, 480755417, 865375019, 983256748, 365575950, 946130114, 479012649, 582265172, 463727373, 563726294, 650900170, 99186949, 268162793, 496167357, 830133919, 749724257, 882643362, 21283316, 689045735, 510948863, 137551922, 549156927, 980421183, 427016897, 276179971, 195704352, 979919690, 962218664, 742920496, 26743542, 922518693, 574189925, 873946758, 526132876, 497233054, 217613592, 935662050, 428452335, 270179849, 903320767, 759343266, 524727516, 288840428, 631419482, 283649508, 85522081, 770253355, 89057574, 174975710, 957861275, 850704683, 679973727, 258227489, 999315495, 105533171, 525425290, 879511583, 922069239, 843736750, 398838206, 828429713, 98775569, 452716714, 35842050, 118029577, 973168766, 141005198, 737720969, 939599661, 622831654, 78291869, 236606447, 990301563, 220906085, 273731621, 725960930, 241498981, 537978299, 619887838, 105230345, 937665486, 596251955, 381137824, 374890135, 891959301, 118844865, 273793483, 172840757, 111855393, 79270840, 542217030, 21733198, 433628153, 293645949, 858496617, 976721846, 361560207, 934837590, 756481231, 631038316, 803358065, 677914072, 457374031, 920900106, 176628335, 805423954, 432223663, 610579950, 459363790, 605550436, 784606393, 153097890, 725010502, 118745250, 909204593, 892850587, 80909589, 788748960, 415640914, 281166572, 382928017, 306153084, 413867579, 433358556, 593781530, 106523606, 489749905, 62200336, 501634061, 32364715, 96305290, 407363922, 461844301, 142271701, 870231731, 365516500, 24106864, 479674890, 905757297, 568489860, 755565484, 922835009, 266127445, 631288273, 570580524, 238913433, 575872979, 639576047, 54026938, 477460212, 129356508, 355469111, 919597606, 56660258, 258099899, 355705461, 702234024, 809831991, 797922542, 641834118, 709930230, 679749666, 563187909, 274357853, 855256434, 546511463, 797547933, 94924700, 490769508, 468297469, 899795600, 810395809, 784737022, 175256197, 247777336, 752408599, 302749753, 105549169, 140309362, 471785137, 320527529, 715787741, 943261856, 716798875, 779523081, 624476641, 942756131, 864634391, 905830966, 910047443, 881134643, 902175733, 744276511, 974942756, 826825703, 283586679, 41294761, 689916880, 767271409, 411808650, 484714520, 702280061, 630482722, 787267134, 735140545, 994705068, 636697958, 777711061, 821860466, 221440957, 46675500, 378607586, 740831369, 219616098, 695696308, 275718862, 251860664, 787403788, 926337216, 529240834, 361006608, 161256348, 947255357, 210156916, 531048685, 280602120, 85631293, 164332609, 491671827, 32584425, 457400557, 273801837, 54832978, 228444713, 490702953, 884897604, 481442817, 790589987, 986151172, 595941468, 141185314, 681897187, 584701437, 296381142, 200167402, 369732872, 447500322, 831136961, 924203439, 402286836, 744426551, 191990823, 238029315, 587597082, 166424913, 502165943, 738094722, 84361831, 431658411, 843290875, 109739232, 339509208, 755908494, 736758789, 939177160, 746811418, 184439385, 677729302, 735249405, 983287925, 455589581, 28721371, 934716939, 809160027, 178684201, 591569359, 72227774, 414086582, 672950844, 590618498, 915333485, 143785652, 281872314, 508744919, 930789719, 551429932, 992785643, 57182443, 382013811, 826542080, 153570096, 101322950, 463491442, 718728628, 976692064, 453849533, 806815613, 965177438, 322593593, 575155798, 245006630, 988361576, 459273387, 913109262, 599389137, 773333106, 984935937, 284959568, 257682124, 720778014, 38212218, 455404066, 77517455, 744545743, 217961975, 947759546, 744460523, 957255302, 35695703, 826125774, 88671210, 533635593, 718950876, 895066446, 365630843, 905086148, 628935763, 4631107, 647133016, 140279867, 31952915, 264411825, 769066519, 298317953, 886131983, 946090751, 568643297, 500057392, 554107893, 502484857, 799154132, 475590910, 82339673, 147599839, 447078165, 276319535, 801569245, 771273750, 825089630, 164387885, 284232865, 339873039, 815802189, 925203957, 107839803, 842972266, 626848857, 293384103, 170658954, 593560565, 353484347, 135454013, 734844015, 556675567, 384590032, 221920401, 245837901, 606001590, 32304982, 234876638, 739567046, 28796140, 834155212, 531177594, 872913733, 437744482, 279928302, 165450163, 639408910, 35608146, 997548215, 822992300, 906783002, 558471464, 289885174, 986492372, 993999323, 790148532, 335371663, 683112017, 375342730, 802987386, 954969560, 350781591, 158455790, 624939618, 550533706, 239558631, 120479582, 153120967, 928841128, 31954369, 997946090, 64557780, 940553446, 147395378, 273092044, 110108893, 887274585, 419526106, 674550421, 988907203, 976738315, 15031637, 533422278, 225339961, 606734768, 838292, 8660567, 822371356, 85011495, 263607445, 931264064, 730494340, 582107241, 926294136, 283950553, 88636685, 149844030, 550563657, 588521614, 413953351, 632069071, 702492888, 734806333, 107605117, 904969311, 568794282, 4342232, 627356903, 960697756, 504958458, 972786116, 953489566, 97994974, 371140059, 908011844, 446535636, 580419653, 208162617, 58426075, 799776526, 275862432, 405959509, 204158122, 24193359, 735541836, 361255965, 772309028, 251125455, 645555606, 806725182, 440357926, 462242447, 620204381, 696114010, 771134103, 439416988, 449259325, 996392481, 426875698, 989529152, 984609019, 225039737, 450070620, 541349373, 146660517, 560948528, 202193006, 605504965, 433570311, 981219733, 463067182, 414406799, 402496840, 197525727, 845470448, 960215043, 976013632, 347749221, 7832615, 888514034, 401355236, 71454391, 379242118, 58575076, 494293981, 163490396, 420166645, 28840099, 584303209, 908413879, 930804402, 813237151, 709635930, 518085426, 341272518, 727011117, 620086647, 926981555, 548132283, 997495448, 430167469, 529746461, 194841680, 553921192, 148491427, 304485892, 403853084, 751994342, 789432055, 539433698, 774391191, 526910052, 499936311, 589724811, 562451765, 716055892, 400121793, 876909716, 638612597, 738496090, 658232748, 709044964, 584394734, 73445006, 62695237, 481908379, 67915421, 966326092, 518678795, 197502391, 972317565, 769930308, 479686415, 131961243, 634577713, 74944669, 661121529, 564742788, 628032639, 8904632, 950950116, 924355063, 135148278, 29517632, 742368081, 733238486, 949205280, 839777220, 361603062, 332499204, 890597028, 644942321, 186511327, 654239807, 301589696, 509894179, 600119589, 357887841, 789663226, 375779707, 940336648, 22717935, 525564071, 612772175, 923468565, 453823195, 61052342, 315597986, 299283037, 9588177, 967004897, 100724143, 583510676, 104058218, 645094791, 752058765, 818969302, 870568131, 87979016, 37320146, 247706437, 264964380, 123931146, 499878442, 856473128, 211628087, 762335758, 804609066, 688599383, 566343777, 285094767, 903412305, 163629874, 874357948, 612730832, 713006780, 194899794, 686172279, 809603289, 396042314, 940149556, 929146400, 728282788, 197685596, 806180509, 503921665, 156132379, 737718307, 686309526, 856083804, 311859508, 203224394, 614838037, 112704401, 212395402, 291670413, 762519510, 609064416, 232025685, 28982905, 593623368, 433774842, 673624994, 998207184, 360364804, 133100159, 458200314, 126175741, 836562602, 822676436, 476191260, 839373264, 538697934, 32271369, 663932491, 988882973, 934882796, 55707082, 29885845, 982593833, 476307175, 282664770, 342968039, 908898870, 646072495, 321673798, 859096147, 864121111, 444009687, 709924967, 380140635, 220035711, 251547890, 103058070, 612221614, 899254297, 216218105, 918045501, 232398178, 216318640, 259257735, 724184883, 126872081, 755438899, 364078417, 986454146, 169649200, 11241696, 530207972, 39419559, 550851254, 49610127, 765830459, 17365399, 966894136, 161264924, 208892264, 535734633, 930463030, 752474668, 476102423, 150578552, 870797888, 892963753, 494536397, 129337377, 650153735, 435281475, 716848874, 242533770, 616472135, 340768870, 777185537, 485621659, 450798339, 642773810, 586556003, 435187390, 448133307, 202057119, 627338570, 788464786, 660911126, 241179721, 297345032, 938059564, 133678444, 837850730, 164118144, 155616792, 635837539, 659202165, 201039770, 74183794, 814678137, 678338020, 488925612, 792253184, 509054358, 650280058, 636269820, 699204243, 358442280, 92663399, 174277328, 55964400, 568069744, 54532530, 526215913, 527507133, 361907885, 25560523, 800853600, 616386763, 51802162, 600533093, 185689471, 660796145, 263177782, 989485795, 943753929, 174884373, 853070846, 396050245, 269056211, 182411750, 320438005, 652592676, 232076869, 226803802, 892368227, 655156263, 921823635, 887406869, 106221200, 822866770, 745946743, 586568401, 400702181, 70664067, 306327330, 973490363, 454727195, 116661139, 319602627, 107133411, 223420591, 260074421, 335187437, 410657122, 590807435, 151356429, 335564854, 690971465, 977455332, 73443699, 395063604, 797822868, 823850535, 926897372, 454045327, 367602742, 842691637, 6094501, 496135319, 109827638, 127216858, 611273753, 128077707, 239136647, 198369220, 94049803, 63956317, 625949814, 313960696, 172624382, 946037105, 445386803, 39185309, 286074028, 601948763, 306252981, 936712260, 280413824, 359082366, 148415062, 287722630, 386436693, 185305015, 384084794, 537579327, 781891466, 228850146, 353907264, 444627385, 776259435, 571949879, 318934377, 548926459, 292248020, 354321504, 15025208, 350770579, 243669233, 137468510, 169496390, 475876027, 278263915, 179809805, 159326409, 262224615, 484326558, 310899452, 516789285, 512446664, 341216767, 768210809, 295798785, 816363071, 283596364, 407013625, 282918575, 411874786, 695389639, 727522877, 622653103, 418049736, 366073728, 105309032, 282585850, 857220055, 678747716, 664803151, 175238497, 798076282, 443252581, 706613184, 178336988, 355955994, 912819946, 330893901, 186695774, 879662438, 937969145, 528581474, 598025984, 63056396, 559880910, 243889138, 808496698, 665968599, 23602464, 118351448, 641554690, 927351532, 427990498, 740834412, 135653792, 359321807, 432450187, 302988759, 820572299, 731572669, 854985956, 813038127, 355932578, 644922842, 377170534, 334636176, 435934834, 391163344, 763582739, 100108695, 167272603, 941428058, 549382591, 565480692, 954997232, 290493739, 854313133, 589888192, 577092180, 701713645, 551622774, 266556521, 424320387, 737856411, 183937786, 540994566, 677102985, 696045708, 274992004, 688481558, 292403564, 20817796, 77686097, 552486375, 358370582, 548139279, 26891279, 102735319, 817974352, 208343405, 467546689, 812313038, 409678333, 514209002, 481617201, 99484323, 818351839, 657703414, 285990300, 536802194, 814125697, 25429512, 862838178, 577219675, 975611117, 472465628, 152949436, 752580535, 908756264, 189675796, 423913093, 174480635, 949538032, 894073807, 656476663, 876561512, 767969539, 799999878, 619316141, 849936921, 276401452, 74564172, 97968155, 702759854, 901552618, 752103650, 78997552, 923052854, 61550013, 194937251, 514569591, 906164829, 880767846, 919269943, 989507659, 931462348, 689403757, 975302133, 421596376, 622306600, 644570566, 600326262, 954062444, 844995687, 380935345, 763663687, 463236632, 91950038, 270485434, 355159312, 694510925, 173513212, 383038458, 308038774, 71857651, 746093738, 271123068, 125039933, 727919384, 857405992, 676624943, 729715367, 298923256, 503245401, 521464834, 400282037, 192989248, 767425172, 449371642, 828493532, 738721465, 646086209, 583945617, 470541828, 597215719, 320013899, 285351193, 126369676, 426225922, 45893792, 881946063, 858284074, 890016645, 22425984, 341468163, 179545350, 908039901, 670198643, 559861036, 870893816, 824453936, 906192115, 157837427, 498863265, 104357862, 825126819, 426123638, 829706128, 515743643, 617959154, 166335254, 558903599, 238655931, 471321087, 103281598, 758059999, 327260517, 556525134, 326304615, 744759426, 462497538, 896184216, 42065996, 80214749, 680579904, 298538394, 266837708, 418368483, 264243682, 872532335, 735272507, 824496959, 627504783, 996853368, 895787704, 232548927, 548977925, 98373025, 928220986, 271290140, 978614153, 381355383, 909760910, 635209421, 787171490, 782129049, 431260181, 479925113, 520099036, 465668665, 613794658, 534031413, 952029124, 893528156, 330614951, 682217401, 954870478, 945262577, 17914692, 328027219, 505523406, 312145825, 956090326, 213403197, 472284357, 833029612, 820966572, 609327461, 860401113, 652578122, 569016493, 242277877, 134957207, 798014697, 628606534, 588275361, 929598381, 406707886, 536645119, 502871531, 886687973, 571238957, 396553443, 410551303, 373585812, 40467733, 660503036, 373469199, 883156138, 24444696, 14343521, 32731802, 194379054, 629748943, 631234281, 350407986, 124573214, 746158369, 95855683, 164761226, 872106048, 927695689, 450565314, 750192619, 838536312, 16399434, 926064518, 533133472, 784139213, 328037426, 355030143, 835047383, 822033296, 249863789, 697521467, 785210219, 16782726, 443575687, 65725778, 748115742, 958261896, 314628946, 119843165, 449055586, 206738301, 961719088, 124823040, 465864915, 140080928, 354608092, 338490898, 902427822, 588435035, 629579245, 204450611, 357738700, 312280529, 598709147, 821763540, 516254241, 989428455, 641067861, 532055610, 957692474, 746907724, 960800271, 149025734, 79619970, 924938494, 6730276, 723325275, 419967768, 962827997, 435367316, 376458383, 686777476, 595319800, 528613235, 942932089, 417025485, 61866611, 339876359, 768344221, 199957588, 832797919, 719885484, 832678617, 859615839, 609494910, 689404800, 918581932, 148958446, 696048031, 433420478, 954899226, 470488776, 79101227, 541655506, 356188394, 752671826, 655082094, 65769158, 15549514, 381577046, 507178852, 18901887, 830397375, 923111106, 706380208, 762098988, 205027270, 795223516, 623590896, 415965904, 203413196, 258338311, 936215215, 549121621, 602700223, 160685991, 448119073, 933255086, 836436681, 196594539, 124916436, 551720534, 893830769, 486315031, 367203418, 929807419, 928153592, 451056222, 957929040, 574162765, 236804866, 261826425, 644798192, 929970819, 151919666, 611792348, 851130159, 868810581, 499177939, 301241173, 812959570, 595201383, 62592181, 763677515, 209496944, 548633307, 869421463, 741097334, 525546018, 101297920, 235267808, 524839331, 421506225, 549119334, 470272642, 489472945, 697697418, 939552693, 328638934, 225102798, 645710536, 387539296, 243847021, 471519735, 374543436, 35943049, 11194791, 374325968, 118587236, 435320895, 171940171, 644643891, 572561370, 461259663, 643449093, 783573435, 209880031, 278289854, 188972882, 458965611, 686699526, 606712019, 789626625, 909735396, 132999253, 995779846, 483356458, 321006989, 274954582, 147578193, 489817116, 128493388, 958994414, 865281307, 40236474, 771436149, 684767681, 39067491, 883756780, 743393616, 849346971, 928692182, 249200140, 396319169, 70168429, 60445216, 109712197, 554147430, 988267550, 414923331, 939376894, 36157983, 483782246, 338022201, 546066413, 313167505, 622555624, 261062178, 973213072, 327312500, 56201777, 838640798, 27256065, 116789882, 922135658, 167116290, 585525370, 409834532, 180671629, 941929440, 194029881, 981348536, 470168818, 169049639, 949248555, 803182918, 554312037, 550067259, 962226158, 881521878, 514454254, 15255960, 492611715, 208026466, 504479369, 553681771, 981391614, 70850243, 253962440, 413036223, 227234892, 318405782, 294871312, 5094009, 377157778, 339098422, 32377339, 555624420, 192285486, 777354708, 276864234, 8651590, 209653074, 498673805, 497156124, 429144614, 802648006, 326138982, 531922725, 323562457, 906741401, 302269423, 921077832, 788858278, 492613703, 829187309, 968449474, 193186826, 748608301, 612511521, 760387975, 999159174, 450460171, 143902818, 507301652, 199306022, 857867198, 26043779, 168930178, 181048493, 992346597, 281012009, 771569052, 655431543, 106670504, 267060691, 169523044, 360461580, 666550409, 424722584, 819169889, 541012736, 709466377, 192409521, 230354518, 392104663, 519401720, 140113606, 409225640, 577178657, 740928336, 501387159, 376373984, 948366015, 366078451, 784466729, 423931329, 111234821, 219217298, 442017735, 133691805, 675673342, 252318313, 179745972, 647717759, 408068442, 358781164, 648649975, 355981891, 172126140, 713004331, 175330501, 933828881, 22735789, 820420542, 314322736, 752289981, 641534257, 546088561, 424456971, 120781032, 947976700, 558906522, 999428364, 371937091, 357629777, 377122899, 868448179, 61434205, 374286420, 478270702, 512729462, 31705283, 963013678, 168588829, 285363403, 13053810, 71927829, 121180713, 121620039, 68730610, 988623163, 237510432, 19688737, 454995240, 457403883, 469207434, 935985351, 187013479, 351740068, 461254745, 221929577, 735786757, 714822057, 968471472, 663575475, 845627953, 934031625, 756944584, 816043547, 804913447, 528122377, 385951944, 690741363, 34184887, 633960331, 839778496, 319951885, 526192181, 34034976, 141202508, 832197737, 156088688, 951810415, 94751249, 968730466, 920352279, 451360918, 662936542, 263804611, 977554912, 736693519, 64820343, 789725966, 7527990, 160139329, 701796456, 857205580, 93692880, 152023705, 391784388, 82448441, 679325593, 598715486, 302540995, 295324435, 781210339, 913820301, 596312402, 797617039, 773831676, 181761495, 215346836, 39585869, 331582982, 670453167, 206330460, 455123197, 670199697, 850530762, 85663600, 299042447, 898195524, 334340242, 493585836, 400608547, 345300840, 656556222, 156928545, 84999832, 320527436, 906368981, 591944920, 763613707, 853434713, 979567972, 428763138, 813144647, 607316218, 655480494, 137983575, 51458205, 890057688, 342175191, 123265745, 703257766, 907612371, 816522445, 296210123, 591445418, 561204915, 90754866, 582337724, 520087789, 578100215, 251247209, 329640413, 86480908, 792609633, 304709024, 47505186, 960228053, 554192028, 987559207, 692564399, 757361052, 199885868, 321794513, 978067179, 521803938, 741156864, 606172754, 620743038, 553046788, 18997327, 389548889, 44906582, 282797353, 517524849, 546995292, 485445179, 242554365, 401011110, 704796703, 761146593, 735868278, 157914180, 289676715, 945517992, 173377977, 855993964, 662793810, 699407766, 412292421, 128437859, 985297569, 531886083, 236280385, 559064456, 835172486, 233110169, 3708506, 765033976, 967125697, 353730643, 857201067, 792339690, 595433695, 818580559, 96128863, 119532653, 190202692, 550829687, 360468632, 627595048, 796613824, 62161591, 895655258, 778500701, 935187448, 945284864, 917181945, 377995330, 452237408, 534523926, 612310511, 425367337, 102875129, 51875025, 813890505, 556517589, 840068639, 544480794, 893190121, 416775537, 175848771, 31188513, 573104595, 61460804, 75470072, 465562719, 709677039, 48424949, 521719482, 365482480, 671310905, 388040490, 601766641, 602873061, 853429919, 213056060, 526450032, 963774318, 583723779, 896845796, 2269049, 252468999, 144076620, 678410678, 429667684, 469972896, 314235413, 117357464, 964406724, 254263986, 724167753, 965154224, 259232339, 335530799, 240500950, 392807355, 862896669, 549600586, 206682987, 339563802, 86719201, 347106601, 265058247, 770750247, 668404506, 1302834, 710146653, 463091504, 338785345, 552942903, 531649421, 947205023, 837917477, 935524784, 51369298, 175900171, 243320090, 53906707, 103064926, 585917522, 405534173, 537747202, 351131740, 736135647, 523314813, 448684839, 661002186, 606738893, 289777473, 363638512, 727942886, 291995589, 339441712, 939169892, 14766695, 11538415, 893724060, 746605776, 560248052, 292420216, 341935251, 273958093, 347480008, 988157651, 456946966, 772191256, 938037438, 107434455, 59264509, 1412577, 366958711, 119048317, 543093730, 455692189, 942297579, 378571216, 578364541, 539712166, 130481846, 589516871, 73946440, 433026240, 378896190, 487776439, 300665697, 937953080, 342333569, 594760321, 745349413, 492076070, 445053551, 167296825, 407201005, 852217234, 910928006, 824523780, 503987484, 928901826, 443999300, 600687159, 603592115, 872093260, 97716006, 623758232, 857600726, 782047047, 299033898, 397439298, 76523667, 700666028, 698102902, 306239488, 365035878, 998365535, 829140590, 776072265, 165997176, 815797309, 373169059, 203006103, 546637349, 326515286, 201641629, 883563390, 101255312, 785615572, 62157233, 425914784, 201084312, 338754009, 423605622, 737469188, 49096139, 508873041, 89550379, 64057218, 287633385, 608782147, 908354699, 900226239, 283012632, 818002079, 577695851, 738819514, 380768743, 889426305, 113312602, 183462870, 990091472, 318736220, 336120134, 700419549, 973448103, 665925106, 331763740, 809133672, 241614740, 788458132, 324680122, 678919336, 145094424, 141976011, 279869582, 935195597, 552329571, 798464396, 816386821, 638770925, 446865613, 655054562, 478009436, 479889820, 319574280, 780900242, 623210025, 935309130, 495489452, 787431851, 951965550, 655754496, 477580840, 580269070, 707325191, 725858698, 465427862, 702275427, 792697225, 108327737, 289220038, 178107251, 54092192, 798802845, 300811173, 206002245, 529673902, 766676481, 168911559, 90566062, 175342467, 498003489, 401350015, 133560733, 834512606, 158521994, 21521843, 542315922, 64013406, 620233383, 90866410, 118143683, 494305119, 838416744, 69657109, 145682026, 968769286, 659532096, 472082115, 587277305, 886494973, 846144339, 794033486, 606209853, 749218231, 513147722, 346672921, 245394218, 145207274, 334956082, 703282032, 35958445, 939978533, 475240302, 244118342, 355189224, 173712017, 814732270, 272392005, 182199750, 345850727, 573307790, 561584501, 748824517, 727964513, 97351620, 728162551, 668184771, 618383624, 794601287, 988925042, 830211680, 67538047, 505691619, 769572284, 739993950, 5454470, 323443370, 724080686, 78919114, 230105437, 542527526, 687977992, 234206836, 406194093, 231072487, 684190202, 549368485, 903346305, 470882842, 592303633, 33814667, 924268184, 337904102, 237070675, 485621425, 415923114, 324166410, 94979200, 949318106, 825580051, 142871654, 312215101, 10304307, 196535439, 787207220, 33970901, 849007875, 719730762, 601372916, 335705646, 873579088, 96474664, 216434804, 91297251, 338386842, 723880361, 673075959, 999421373, 576754794, 21029531, 566644208, 556352230, 547441190, 273298476, 647156109, 822198117, 236022289, 262383570, 69381420, 925418353, 290039063, 934824645, 149203821, 861917893, 435766839, 461484261, 298969804, 118964298, 609262461, 445988105, 841111434, 944061356, 136761534, 758254115, 874830416, 259520996, 572434377, 80237153, 137613057, 508661901, 596906063, 288625518, 852455550, 585185988, 318639366, 38618940, 495758611, 771051908, 986565100, 494743622, 402641661, 529729126, 980119887, 175297976, 681283390, 992055996, 694320940, 682603420, 468332395, 572895670, 130755835, 385177459, 980326328, 545491748, 697432787, 389391314, 853617496, 591687230, 730559996, 515352452, 339358372, 181876507, 873639601, 685458095, 60378683, 151716532, 804031254, 929296874, 805861511, 634521568, 376184587, 441480147, 233189354, 330937499, 238075567, 582375507, 63634045, 435396649, 642305663, 746292732, 812880526, 81243520, 859121868, 281838235, 561978072, 574985577, 39521568, 319019055, 79721561, 714788452, 602736952, 916737450, 288560714, 74913038, 383163458, 20619999, 494337542, 907710667, 225903719, 784253078, 204503260, 776853189, 893678739, 809504488, 826087543, 266742820, 320940660, 472065965, 632641423, 379172935, 925472029, 621307016, 642479569, 631672797, 105009695, 342843046, 3657261, 674843539, 778115923, 768009317, 710430408, 476297389, 709148378, 670953081, 392487760, 456112714, 984914467, 410041816, 773307486, 184207706, 508308726, 81872751, 953170244, 252569377, 906779193, 261654788, 537703084, 480666618, 945807470, 836237623, 437006516, 15052906, 369133355, 926442180, 838220221, 592067183, 832239613, 412803475, 120355233, 825762129, 917783535, 607410638, 474638640, 88617320, 976052548, 490649132, 141110987, 572712600, 215653652, 57617493, 172646307, 128766755, 787593049, 39609334, 451789129, 967692130, 762643792, 641657192, 821596331, 564980981, 999217600, 771165193, 849349519, 813308134, 171516977, 765259346, 659792232, 63375530, 800599387, 142169528, 638264627, 418387494, 243674477, 42334750, 505013259, 504772946, 286817315, 40223755, 983991858, 533512389, 829843367, 334141387, 307096248, 603687225, 685119941, 413792952, 728140537, 679749184, 862367694, 159816315, 778060195, 519535952, 901534093, 598724129, 522379160, 743454577, 446691266, 871478715, 629243115, 105753523, 974983961, 174407029, 941724876, 335202142, 797333148, 935132209, 390999439, 45867411, 888839692, 167250547, 496418167, 775531055, 950093449, 39277141, 340009971, 783579683, 654302854, 906986237, 995807077, 623788955, 144014188, 201834783, 596453959, 806412645, 765730179, 261084986, 861304315, 848950676, 324892812, 224099933, 215095843, 304551796, 159744427, 552955473, 910694406, 891591884, 132749487, 496607857, 593163343, 960716923, 969355375, 893994172, 219044883, 99039714, 433568248, 585378588, 672398866, 638912695, 343812858, 293722892, 649047214, 897496735, 416848980, 942222214, 452385489, 960896243, 346160497, 932327570, 99531099, 578733304, 452940817, 225013567, 269941509, 583783852, 317824248, 314955605, 676232120, 605363914, 167500525, 957236163, 656952502, 717337601, 905618038, 644335463, 198336793, 403716423, 767194663, 683630389, 710002945, 393330327, 113356052, 634682377, 221141422, 105733829, 333223050, 644208839, 316758182, 942132587, 666393027, 477754373, 680030421, 918273517, 213745713, 585920670, 576406784, 414217584, 770544890, 411402260, 697882424, 923080893, 214070769, 329659785, 8600408, 34841030, 5227776, 750130888, 211024655, 22839326, 287987524, 67294957, 70697461, 872715679, 495961757, 946239955, 951110700, 635692265, 638733275, 523034547, 270170060, 176176685, 464868997, 207747432, 384114607, 213360192, 981343103, 989411978, 233422641, 52743857, 266265581, 882385364, 373901795, 442754959, 712637475, 942717089, 436979741, 119973885, 518232031, 361787235, 865114612, 669324901, 722184178, 449407700, 926770376, 239135421, 646863344, 647424430, 199929780, 630678664, 730753813, 669606316, 941728093, 289220509, 961730804, 221118303, 191606279, 540519488, 911549861, 651201851, 248220506, 592002144, 700251091, 676149078, 765059241, 447163597, 698128332, 441675287, 524887240, 362660747, 818686551, 311135748, 572118866, 50348120, 375027109, 129060903, 188204331, 401495535, 548402737, 597909772, 154738593, 501978247, 75497922, 531125509, 522424763, 387120410, 80991319, 145992817, 414911864, 908415508, 604818991, 671971133, 257887476, 580614800, 256081929, 465767796, 336666592, 619264450, 978377566, 331410846, 776757454, 112378559, 353723463, 537086039, 340475233, 426551119, 870871743, 792042357, 446693688, 699308152, 397090404, 917368509, 123244638, 709271821, 31317846, 778768114, 193436130, 319754581, 688152158, 42907572, 276374555, 684901691, 599749199, 198999352, 643635748, 905971109, 497426910, 541316160, 423172950, 382308075, 472653752, 401270869, 263917611, 108112938, 116119988, 92030357, 448961697, 475933273, 635576191, 706529205, 913815188, 97026737, 298105391, 200630330, 563974127, 665894228, 771789930, 335189091, 932675460, 245109190, 954144590, 111764029, 87259038, 927270956, 577332967, 961293261, 877446777, 221786662, 995889637, 103046914, 13374837, 9951030, 78193920, 222070476, 788706335, 998681924, 991560456, 236265923, 87801365, 988850730, 931459995, 355482124, 718476829, 266259213, 756577433, 465105046, 359645455, 7659797, 535226398, 334631435, 108721311, 177128296, 144683452, 5605871, 897872379, 309475626, 886083578, 614884048, 574891095, 930870716, 497803592, 665001558, 598008696, 871707146, 404867185, 719113143, 394559664, 855735751, 476335461, 443167010, 808904222, 771331144, 336600897, 354682543, 139017524, 526638542, 388088256, 931166137, 671239029, 314680981, 789009685, 882633555, 443120402, 418636548, 575602291, 376119951, 147359313, 524979928, 585843505, 979484570, 173995122, 411490488, 381434216, 996802045, 324286182, 56114924, 156392706, 236585398, 387106833, 627964805, 89776524, 222703108, 576013674, 427946340, 571834139, 640990276, 20479070, 287393434, 263630620, 443073543, 267257563, 930163418, 207263299, 88584343, 933860925, 164594583, 655490408, 779857460, 35422972, 545424208, 411077519, 730079621, 602406179, 633752343, 100392185, 790381015, 781077979, 388130139, 899292607, 246679037, 463359007, 168183311, 343019612, 251038146, 401698784, 954485658, 468434864, 937246231, 368753760, 622357520, 123194228, 306226315, 204593728, 920651185, 511561748, 429885517, 621160493, 160451437, 550463504, 418186155, 372071083, 260248888, 5494280, 95451107, 665254658, 569771685, 169082994, 627733508, 703560845, 558644009, 124999435, 685806424, 944595738, 300114459, 439703411, 383200646, 30560137, 188832866, 477974859, 248477500, 611107312, 163782526, 71611869, 411667841, 138824377, 513343085, 342433968, 439895397, 449459063, 595597073, 780612645, 138528734, 647465383, 500714889, 283807455, 593745869, 652790020, 503244154, 935605403, 105152606, 355177408, 684886492, 58578783, 309323166, 261004854, 642381128, 229195082, 717289808, 120409039, 349882190, 507555872, 319327843, 150760517, 331732418, 421111333, 895742259, 207763607, 824576537, 915937807, 739597646, 44938763, 696800601, 508095499, 901773323, 329665174, 867025050, 270870520, 943381448, 568187532, 571639427, 537051746, 187223660, 333340328, 203234869, 401437601, 626020633, 436436405, 854808964, 743153565, 50050625, 344250320, 285765006, 732300026, 516768804, 328406692, 219729883, 495247959, 487924416, 199697640, 691513803, 52206199, 979364501, 769619673, 792627237, 54991797, 934017793, 235944992, 799577557, 164686674, 656185153, 340812523, 897026370, 494043493, 835247913, 937875022, 764137132, 212867171, 593392606, 742822058, 405075918, 330018085, 19012513, 39175933, 922188877, 529876284, 119529634, 132791624, 856769245, 340540352, 551070169, 135096531, 980635837, 92227989, 318592562, 369270415, 176412454, 278590522, 765762163, 225696387, 16098896, 960324187, 800546140, 568803513, 859636975, 633283170, 999868021, 108527470, 321137211, 426868186, 190256050, 763322258, 106246438, 417004030, 766654439, 579528639, 676646021, 44573347, 106571229, 143307583, 843397445, 646972455, 192040006, 956718742, 463540838, 525393499, 314800375, 172227552, 812446416, 934099741, 92992272, 135991901, 697439443, 147634296, 364639915, 336411246, 307510484, 992195291, 208456570, 961672896, 497537435, 727019600, 466568334, 190511341, 242866514, 423102815, 244846636, 686405830, 577200419, 327152894, 716698405, 257164338, 305854396, 532982082, 102169837, 847479456, 1463516, 724595824, 690033865, 155241340, 605278974, 573963099, 185419309, 376672571, 998217133, 864962329, 937607000, 938926840, 342892469, 283953964, 596158941, 621339421, 324625489, 192521687, 50251134, 347195544, 637574060, 858677971, 965471889, 679541469, 867137991, 12231743, 422732257, 563594320, 862820743, 923305171, 336037442, 52363561, 896767714, 981194847, 395607533, 65393263, 910211722, 631015918, 544353662, 477361151, 70094985, 663451520, 359938172, 351997405, 393990740, 540024070, 823558602, 916455075, 208738565, 187613650, 983026112, 406056892, 732907413, 753980017, 398634150, 132919179, 348686279, 853577402, 982612353, 695452351, 601463683, 956914494, 306054210, 946405828, 509141333, 85800210, 707814336, 277990868, 40573923, 851667830, 490123087, 353284481, 300291260, 194215100, 437309786, 434676994, 551322104, 45317912, 8566484, 525501348, 188640616, 944419377, 518031303, 349197502, 375413130, 234859288, 106168944, 561919233, 57050827, 212362707, 903347756, 568335685, 221457297, 893850586, 476598572, 754617776, 747260956, 377009558, 32444232, 510207118, 51232386, 825790409, 986773371, 342103945, 872684265, 341516595, 104055475, 781256631, 510067989, 893538312, 680874835, 330051498, 414194225, 9537288, 625358849, 778782154, 758451953, 818074709, 596366998, 115730375, 928546471, 637163471, 645085995, 502483758, 857842705, 871454449, 549495247, 468390062, 380595794, 56061279, 867729794, 478318160, 907739766, 519953633, 383446543, 349879651, 478309078, 155862074, 50481308, 684306874, 836516087, 244582643, 511488353, 828729109, 174130139, 116051796, 334730746, 468547629, 940740626, 406339184, 264075255, 498566052, 816978621, 931375284, 165321962, 376850347, 202349298, 273374401, 747095341, 317197240, 390756102, 481754064, 679740924, 763207086, 455957681, 96541121, 30895441, 936508598, 613884776, 395756905, 858807495, 825847630, 233792634, 907858246, 648391728, 287537715, 287299385, 256675259, 764798013, 253587483, 64555099, 705438811, 514681865, 287891596, 207584478, 992546403, 828930743, 164338242, 173704530, 922728997, 62696677, 169393577, 67794467, 791400223, 340249134, 992939015, 409132802, 235200548, 696618389, 998390251, 21478345, 268060698, 614248441, 518952245, 76836983, 107110025, 945139664, 867374185, 518434943, 328071955, 317661597, 119817732, 482630315, 830767917, 552557989, 430017755, 176401823, 281607352, 168148672, 164002698, 383747428, 734344972, 11831573, 685005062, 590339725, 381808394, 835804854, 754757989, 572932384, 37348917, 438145139, 29885359, 130512541, 784571007, 603230196, 825323092, 380853543, 774526196, 367188519, 487886529, 316449540, 464412600, 228305629, 542076333, 388725457, 758292653, 906438411, 166142311, 342510148, 573303577, 483226232, 939378657, 371297594, 955270910, 629204003, 445102069, 729959664, 251459111, 11390805, 849389094, 577203722, 200356904, 49847588, 4660955, 316379197, 940365548, 207241759, 956242498, 118746087, 967756565, 599567019, 35737964, 488504269, 680551297, 88226899, 422932269, 149264479, 638866420, 926451147, 84190583, 472774837, 794746507, 996187962, 301578632, 12322883, 176853066, 397802237, 637477921, 853846808, 909801890, 495589689, 106404951, 594550643, 516377894, 104601394, 383484810, 239261252, 908652911, 388296339, 130575885, 150016599, 968577081, 784335442, 511700456, 140807577, 756983509, 106869192, 727830224, 522178760, 383845795, 705641930, 782330882, 585255942, 711360056, 452757102, 70007627, 103237576, 133521689, 877409364, 260384557, 220663215, 404991986, 401292750, 704775188, 565690084, 453222842, 838699590, 919739834, 388838909, 412854860, 682260286, 912216964, 671401135, 249114555, 75308912, 823548990, 64464154, 622606058, 424297936, 652961301, 816966743, 49671577, 375040470, 728236001, 348776007, 300192796, 403150955, 934496527, 719715101, 240285357, 840516745, 987019640, 8993223, 227616323, 793455557, 874570293, 448034759, 586233370, 969071200, 690872480, 697307806, 194851897, 117083801, 234123297, 697694032, 751766756, 654990531, 236255227, 587449596, 482946765, 539420237, 532777052, 727465759, 921233759, 635783396, 531148478, 506626906, 306002554, 115400598, 60727943, 568268633, 201926561, 130100084, 104679676, 970339027, 74873134, 735321803, 775417333, 754714327, 621700221, 859878566, 916348489, 222840659, 866610098, 154017673, 478454727, 982396664, 283730058, 852281777, 70375151, 537748221, 514611239, 817953204, 197199106, 845650, 270137412, 398145215, 506796983, 307644596, 200682561, 516649832, 390866867, 549198437, 216719139, 625995184, 490630786, 743600438, 598934362, 952461000, 873278670, 381797277, 306225462, 91875109, 669545961, 806527540, 668206158, 25693322, 825769718, 40770674, 991238149, 879532120, 529581580, 246610803, 863193314, 509394447, 874127999, 471637386, 187110897, 530462652, 512995187, 47390857, 821560434, 544409795, 755025474, 17995561, 60503482, 29397594, 160185457, 915040400, 645162521, 740373606, 43563618, 422310037, 941301130, 379766982, 788994120, 54584797, 183751691, 198341560, 847328407, 560369208, 491618087, 368208691, 328109816, 896398885, 779647341, 42068480, 569486358, 256856182, 188983388, 318035855, 35163314, 510484132, 923179367, 254914740, 673284963, 997031485, 218089033, 292517541, 331156816, 26700019, 619499006, 591593308, 750513843, 33192773, 401887017, 208404341, 201792872, 793423977, 259603376, 64805980, 958079717, 860136264, 609659466, 199539657, 566874885, 216741099, 333733522, 43701398, 170809043, 8406500, 542001473, 989186301, 249060621, 901167915, 219330955, 855724670, 290792705, 658288815, 875898561, 522679861, 263923689, 40406907, 498353176, 499525708, 773841100, 322312641, 229793585, 575989643, 795981136, 879459912, 897923518, 61658420, 600625790, 842937304, 288551817, 118946563, 585198898, 743233730, 488348911, 514513485, 802877807, 505579032, 682963670, 867909104, 575720932, 30027139, 38685395, 423374943, 299912739, 193860743, 246494144, 415917187, 692561471, 545405312, 690071802, 775700364, 332103230, 178961871, 751044790, 505942250, 90088473, 90295823, 101190101, 537346178, 42958098, 420978435, 821707012, 41512310, 595261991, 192851643, 316833754, 9164808, 829537081, 796587527, 139144497, 627498379, 121760483, 808985396, 630864295, 46890266, 526023161, 268808958, 765420344, 651238717, 352332360, 807082412, 524737331, 366945072, 752843678, 694040815, 973287908, 611421769, 877627600, 161254104, 303825985, 152189123, 149333640, 892108082, 559602034, 897996229, 110191757, 831132346, 156608796, 367013069, 23548953, 252920325, 304913606, 79033785, 645497065, 741727287, 816798529, 455679219, 527290470, 620234123, 734344153, 825781427, 754830175, 493307676, 595147282, 557360365, 693049081, 386695992, 842764724, 234442491, 663771397, 212066399, 814462964, 642291926, 974634090, 450930570, 955748811, 295937688, 109766009, 602138409, 365088093, 241763017, 604171561, 58461573, 422682138, 790576133, 27799324, 129099389, 107694995, 101900569, 135537987, 20498999, 20712856, 836280102, 91742329, 788712295, 520582297, 152983320, 194028455, 503101157, 300262150, 382417713, 541482929, 176191185, 717977402, 962125626, 651908612, 937833893, 746482496, 378452468, 793921833, 907428216, 68217207, 483927679, 299226269, 914669896, 352393813, 400119856, 59583791, 973196041, 351309612, 256683234, 87376762, 951340438, 233272729, 909061106, 25623133, 800077487, 842764539, 317785732, 880512653, 922446014, 545651681, 848503470, 324949980, 531944588, 133349987, 859675250, 666406836, 935180429, 65727043, 51392136, 161537274, 937703440, 777227880, 699922236, 557108229, 298808654, 511722185, 803608600, 520680441, 531591169, 707010573, 451762535, 696474535, 733396932, 102689447, 770001564, 202891432, 146375615, 661847260, 738189058, 499204821, 585682460, 475211524, 352282041, 120904561, 141039482, 859843258, 918964438, 321171654, 672005068, 527262040, 590005098, 372245837, 49827646, 185477892, 656368221, 113242497, 252986841, 260310604, 800722117, 408083827, 770783592, 960207916, 223992292, 691900446, 686861703, 734044485, 529888819, 245476135, 380171123, 413005194, 614341337, 697068440, 69111229, 384176175, 62236706, 848847479, 743067995, 582192179, 946397335, 339929927, 107157466, 202621527, 995486504, 25659031, 153324480, 323391425, 88804685, 626513679, 846793120, 3268397, 279179087, 51350447, 177601071, 942545265, 748923131, 997298647, 39963159, 217108968, 834279534, 599694537, 527119547, 896623442, 522904506, 995747008, 711740861, 250607089, 277067488, 605560465, 872466106, 859222633, 490493753, 584402430, 808600743, 203366278, 235976247, 831499416, 683157226, 574917111, 389527069, 392822265, 116036641, 887845854, 575282759, 938874963, 249210075, 386594226, 427459603, 888397737, 770189818, 896661769, 961039484, 512683449, 182181458, 133305052, 420971339, 975949962, 963822753, 465882191, 888351755, 980820202, 434567016, 83159802, 951003403, 593818782, 795548028, 249144711, 436476958, 887244216, 220594204, 285362175, 555798596, 551185624, 817086740, 168428707, 565669042, 109309326, 764158541, 147599081, 757169353, 368415519, 187948778, 662668636, 962331746, 31411209, 903866562, 764367662, 32266332, 998680142, 905993366, 881377287, 447489279, 929667176, 605808333, 313308148, 931202524, 755706584, 468572381, 661154578, 422885901, 985066119, 259392055, 715605981, 691930195, 578525092, 193951978, 564986310, 546843356, 982823358, 302947773, 934740238, 772427320, 376518106, 487052449, 834896345, 522182021, 512137815, 203290456, 988262238, 243321610, 65395719, 937967426, 251820179, 878862448, 313647597, 710188941, 744430980, 262873983, 382581354, 483793652, 966167134, 454672540, 603560964, 496567002, 57418472, 155775015, 298144749, 70530864, 627121724, 978021432, 259084339, 771667254, 410197351, 851058314, 508394068, 395686592, 884167093, 228734216, 813862959, 492406519, 733345739, 890134012, 430625402, 771989841, 219063473, 861199642, 290812323, 362743253, 968210658, 665812989, 860182076, 897581612, 892806546, 368217542, 50585846, 489330075, 475140295, 292425777, 815684349, 524714945, 403843171, 661546694, 808321047, 380143415, 808513913, 608896910, 68288018, 671152877, 813281019, 161980917, 985375716, 683363408, 33528621, 121953146, 710551179, 109512912, 30453370, 204181811, 487495666, 807713103, 16812347, 223445027, 418206430, 239979147, 180710487, 881046851, 854749419, 970827678, 875165836, 711885551, 39935301, 329377761, 623519755, 391210881, 778625669, 408985570, 230948175, 876475828, 561731448, 114720131, 775479818, 409174963, 544193243, 791763111, 825837796, 587853306, 376459581, 928242149, 931557965, 454987596, 271897160, 432073460, 713711246, 662380940, 854541634, 260219666, 204445964, 226967495, 377760066, 127781480, 317396543, 859329970, 860322569, 312793692, 288862621, 566534384, 495605340, 253416494, 22485406, 916218669, 36148853, 987666353, 722443503, 491969169, 511181617, 301163356, 240123050, 291497002, 470860625, 196586958, 724871839, 269902921, 509695338, 994580936, 195878185, 252698762, 383498623, 526484220, 860888449, 483488101, 367976718, 358641458, 991454752, 896010816, 610256749, 445540683, 829712360, 623657508, 43214394, 203869932, 655619939, 390970332, 761100917, 551532571, 638609046, 817072285, 478400132, 905733616, 390204651, 221286127, 706408102, 592828284, 109404140, 504611593, 786066588, 822444205, 214567436, 626713788, 766218811, 503924314, 144468557, 410057676, 78432340, 463652904, 919436762, 7267547, 827696233, 501169246, 770410963, 418240975, 925065541, 498270350, 852097302, 92144512, 47163368, 476431603, 782697020, 56130633, 702241384, 511388604, 44202274, 102441626, 655121174, 373856936, 863958642, 306114029, 214373056, 930961082, 459126646, 532693217, 939024679, 295847335, 857303302, 546847724, 996656312, 964035068, 61155429, 874163837, 967738396, 462870825, 749609417, 976936072, 293001686, 922925001, 933320893, 120586264, 969569606, 370196895, 550987575, 700558445, 737509686, 913120696, 980661687, 351857235, 657524423, 879095665, 712044116, 421189749, 961376020, 197674601, 332444503, 29268879, 548769473, 841416900, 365897362, 304006658, 994424024, 681744639, 852423799, 692725492, 650071634, 353598672, 582734445, 59112425, 167662921, 556817956, 951552368, 149448561, 285223431, 336031973, 735958317, 187328065, 694696467, 550556455, 539451632, 818019469, 322852472, 539982498, 441909878, 249743032, 649083201, 239320146, 822368152, 256066142, 810415292, 600706487, 356783213, 137975220, 823759932, 237654746, 819316343, 523287383, 683761280, 518493081, 458671312, 935424461, 303712075, 813055887, 796547080, 424753129, 433938372, 413497422, 706650821, 384266408, 382194283, 244454367, 779684575, 519278024, 696073833, 800308633, 145205148, 242069381, 962596183, 799265584, 157646502, 133955185, 34225419, 904303175, 413030071, 556497231, 211919791, 669420893, 291968135, 847619445, 213634913, 172223040, 518789313, 271617852, 688275349, 774809343, 266405182, 384591280, 932600535, 76918990, 294536932, 102204115, 805782558, 472153789, 773089799, 796691033, 238203420, 984770197, 381463597, 294395489, 236231500, 884748462, 999181679, 551274047, 29066335, 679596976, 426214477, 710576411, 473669405, 710823549, 933716672, 481888016, 215651816, 922656198, 813551400, 861580839, 679976137, 896932601, 525367858, 251554773, 740223814, 417000211, 977382053, 856353099, 826231075, 206181023, 712235123, 752101838, 415073546, 764329435, 919677405, 199724673, 10266011, 184051679, 533291145, 306317256, 15832081, 19002639, 340242785, 934737897, 728945572, 737830033, 544671398, 511706922, 363857603, 394512149, 294677095, 845622480, 875275261, 197131912, 219904494, 517737234, 561588125, 878429394, 573126199, 300426930, 223176198, 488304644, 985860245, 811079253, 775061071, 95537550, 11461466, 329019433, 35548906, 707846081, 339468059, 899312108, 670291070, 564042697, 631733792, 85895521, 350174517, 602868888, 483445557, 329421764, 791188720, 628580633, 84513481, 776585214, 410105813, 894426827, 166923388, 563432259, 258635461, 583766384, 352431406, 114625381, 253379166, 789903333, 773335597, 530638740, 754959445, 287419732, 245298125, 406323121, 329318066, 152865065, 790757089, 774611428, 262519327, 226307566, 751792949, 573534881, 318011362, 268081259, 79602833, 397690184, 559537131, 251267124, 790626568, 343718614, 747530913, 281917551, 714994147, 704179829, 256859237, 994808626, 559804099, 587082266, 719203955, 542321112, 564055583, 125244477, 778785985, 26863704, 817747752, 481096483, 515528217, 284514308, 681917482, 462236281, 372210690, 893631536, 528653705, 828005134, 439970808, 366886743, 790853343, 857438457, 39898329, 889485297, 299017624, 968749646, 219996524, 488772580, 247897050, 664474829, 744579916, 551212016, 273711854, 164391024, 480973094, 295503984, 749297848, 521190829, 215699547, 740122570, 862406838, 580459008, 516780202, 157946400, 547922722, 771719944, 66350978, 368882925, 153998828, 208985844, 833489372, 809821021, 767027687, 846278204, 939448353, 878823205, 5353537, 92853765, 93543950, 755099266, 24607469, 456326230, 135381382, 581079985, 421883520, 268672369, 415778603, 776936203, 933568578, 620078526, 498973700, 402542391, 408132709, 208397700, 864141877, 662819293, 447004243, 287624088, 185247212, 909228233, 451971606, 366480460, 827115342, 796611427, 437630325, 752279854, 773006887, 513489028, 903549507, 718670909, 666242890, 769190443, 79358299, 346866669, 420138557, 643385097, 256708654, 326869611, 984292668, 994609407, 91761327, 917864072, 719861185, 937640167, 362576759, 379394941, 792557224, 730437679, 554015363, 699935169, 43380670, 126421303, 446890186, 420050502, 147567534, 152443587, 526024500, 448306614, 781029867, 71334941, 531653875, 930150246, 276504212, 391699558, 102753666, 272924101, 211971299, 472376751, 365339686, 796184871, 396912492, 521507250, 980033572, 341261891, 492433306, 994072857, 196988021, 154933582, 132454670, 153156669, 516666071, 188259256, 318537751, 832983449, 183180283, 348724839, 123939559, 240269660, 671374486, 670329580, 109005998, 638784625, 168146428, 593962710, 797316704, 972163843, 123698364, 332329826, 319797197, 551582880, 480910230, 219603972, 58630968, 669058279, 879345297, 926679278, 748969192, 331839551, 942225758, 820532041, 81975577, 896183107, 320076347, 535755276, 166574183, 646395998, 267453749, 627210047, 491938561, 179327004, 901105616, 332346054, 265224077, 417623325, 948516376, 130227618, 62626809, 853257867, 449278164, 470878471, 101896365, 181047309, 620674919, 923145329, 523616717, 681166080, 925437187, 411317826, 310190975, 45054023, 458322376, 242937382, 341746628, 541523510, 159242023, 536955164, 345091432, 707944153, 428880969, 61820856, 907614502, 610998302, 969622216, 708436587, 284362469, 399773050, 120345577, 163885348, 63810671, 643978311, 933493090, 623411637, 269405142, 522485355, 581135279, 477248287, 837641582, 432587184, 210967815, 193787924, 980477485, 999340608, 559822950, 568570895, 679690966, 817412484, 739194430, 837943024, 996090892, 689181481, 752396295, 616741775, 799163500, 213113822, 885530390, 556286291, 972012262, 690437318, 276517027, 648166940, 454266724, 546599173, 70806194, 260179687, 797380664, 91815707, 275575120, 493206352, 271592680, 138993624, 800066480, 172560588, 682598259, 52549243, 248816778, 219497863, 486188312, 616014162, 595066904, 774917782, 193164329, 466245873, 773489672, 49677799, 393598007, 130941553, 294017382, 599837450, 600174737, 419473709, 800093447, 146398794, 221862802, 115477655, 874630146, 945090957, 984729159, 737371630, 407764031, 107395658, 770456863, 165488265, 125237298, 729001975, 733689657, 895392660, 873182777, 457470011, 54519899, 81174309, 877917475, 580680533, 114700810, 232451205, 893903274, 140671826, 944809029, 211349171, 209602159, 30899679, 195346577, 558482715, 705102692, 205482411, 988031701, 492234574, 278736646, 489121534, 380802867, 968077799, 591605627, 695678589, 257451706, 166097982, 709852710, 534426192, 735396168, 565822587, 668130671, 667183151, 302838634, 771092163, 977912341, 922106281, 711075598, 490569517, 324611600, 864172701, 973971862, 264537924, 494449240, 914053625, 359936709, 997679405, 96848986, 357084425, 946675465, 477374592, 80245409, 486634846, 16766509, 178172184, 764963973, 226597971, 515711325, 514907545, 853630161, 153520727, 492410530, 20739920, 890789966, 501098408, 749287354, 669032557, 316218600, 227778411, 352452378, 388363135, 203335386, 570118496, 233793898, 340745049, 593750139, 215010279, 629545653, 587836558, 773418104, 291906682, 833810625, 896710719, 738310296, 964405146, 567370034, 75089973, 580549066, 223017896, 125113636, 225348481, 152529636, 796502886, 559716296, 2222269, 132566944, 865913789, 134394174, 269348648, 400426130, 617319114, 882800692, 889849041, 211853210, 80486080, 263819895, 574165112, 270184220, 839342925, 563051107, 332244023, 798887623, 305958482, 457869145, 895283237, 458289441, 975812363, 917028200, 410538450, 282707901, 12030940, 636379190, 770184073, 381047912, 744124991, 322632216, 70936069, 819271669, 897812537, 297466135, 505381010, 509359685, 185892060, 578666497, 583701353, 399095640, 268958728, 86670985, 112770388, 294777865, 175820256, 767881892, 223753451, 725303232, 126169511, 231929192, 289982983, 695571312, 551103075, 139489389, 134246638, 16460073, 155237454, 998532506, 404183891, 782990240, 185699880, 638841387, 122230407, 644400303, 104282199, 192822721, 448445164, 878640635, 388075775, 386278677, 626875132, 222866530, 413333070, 964303501, 128160185, 516322720, 324502458, 696198787, 635755290, 73198684, 20970567, 806278601, 642646214, 422818264, 703358271, 226329391, 645426755, 706569030, 533556446, 36127794, 688158289, 717717696, 720353671, 285298676, 660840993, 486699597, 249452758, 253894938, 99922323, 443052312, 329931885, 128552456, 346543509, 383161337, 679345517, 718354571, 104035849, 318442168, 605144710, 632992537, 992462693, 911055492, 437340596, 251988060, 513245953, 116722268, 94278331, 4296564, 655783790, 585753148, 202374858, 867532748, 745197883, 638989246, 675127021, 845956304, 752971272, 471136199, 388743258, 928961709, 432160143, 852004265, 738573704, 687584393, 917478399, 581609550, 862201927, 230218639, 125022592, 53432964, 171085346, 359182694, 593781794, 442701106, 675832293, 328065314, 850598875, 788276208, 28235250, 498195705, 165715245, 436019611, 468183632, 156476707, 992442842, 346119894, 543163167, 963343597, 875767689, 486243289, 394379451, 451299435, 561964427, 822460608, 943054869, 809187016, 643075819, 530964793, 522275597, 165030019, 268042364, 35130547, 911383724, 56668181, 991982055, 355910513, 433034299, 84186695, 816810798, 193081739, 999531861, 7667839, 553669564, 235040730, 167679886, 246668294, 983449860, 628699349, 300947189, 413383936, 61752514, 450673969, 656650164, 259065573, 747506276, 932364798, 395040892, 709370188, 893361798, 423817546, 427680144, 386563780, 662631997, 357427275, 721000558, 954658615, 41010602, 141500226, 111598960, 978754862, 122886065, 54908717, 626615728, 748350909, 449067253, 675511338, 667172974, 120479113, 281284923, 996845583, 744953143, 351568982, 854245614, 183948898, 946321469, 715649457, 862649430, 944557543, 180462372, 317159030, 64383304, 689339549, 778930311, 961728511, 367683508, 280071935, 223167784, 774352192, 980417749, 765868351, 220458526, 329073876, 933916996, 478636996, 29270526, 641989580, 339608168, 478486647, 518125030, 310409803, 519822096, 702799253, 209765417, 216468950, 529181985, 363176620, 825155402, 597897583, 294755383, 992038850, 456530831, 352301019, 92974336, 750291000, 773724598, 249276123, 663284095, 426964751, 623227601, 851401743, 965523968, 833507438, 644373089, 201559426, 503726864, 218978319, 45044194, 624622217, 846744854, 448288429, 439326916, 289919036, 106214901, 877973184, 398013301, 105412462, 592433358, 495720875, 416934512, 142918608, 112513779, 205053927, 962237786, 143588995, 900496223, 771700798, 920239004, 188322652, 360933493, 951501412, 442901666, 247589695, 907861601, 441692331, 223801429, 617060424, 977440136, 353803807, 498025320, 584186765, 35682688, 411230757, 918913281, 909671649, 814677533, 381065813, 785486562, 570347964, 837659306, 158808211, 837321122, 749014283, 694580733, 998475286, 189906478, 351568128, 524922822, 524166563, 972438552, 613498827, 749570717, 131756808, 687499688, 633895985, 69976946, 963890141, 894000711, 118909168, 173422419, 983500190, 761403340, 183362071, 328241286, 942405600, 303267976, 925272324, 900241925, 670757519, 656540170, 276561463, 326712656, 336837618, 477459249, 914293526, 535947995, 349338377, 843745600, 687363750, 447408319, 984372132, 586919004, 182066373, 462723750, 22872947, 577227527, 348151056, 977264946, 166931403, 652541759, 178514674, 72487560, 39901528, 362915499, 957589049, 378586079, 159331652, 564994925, 227812999, 777232632, 838140481, 543184493, 52076992, 895701, 981490615, 646924103, 61657228, 719040791, 655105741, 843883901, 589584547, 287291299, 994674140, 441878332, 787553934, 222176606, 241842962, 63200767, 671898328, 284159658, 141605787, 496699656, 723789705, 327045112, 540660107, 741815534, 170510038, 348119969, 53328802, 645702221, 734664904, 264977334, 576307572, 313726919, 35196688, 95551387, 854125934, 636699947, 210356234, 867269240, 901870048, 855396188, 338956692, 401997432, 25967920, 69316581, 113645370, 820689430, 973553693, 711752511, 795562426, 288654896, 239474062, 492311617, 108695744, 456434274, 700386211, 866693390, 677160770, 727066391, 328415347, 225395586, 560205534, 58180139, 479459501, 221041539, 810635555, 381809670, 204752422, 67110934, 146743552, 195211028, 276119066, 935121482, 665931915, 328594844, 36491200, 640268046, 185755509, 776279469, 783898079, 724547407, 660982540, 115162069, 529071803, 244953709, 117032672, 219257407, 566451240, 660863408, 499935440, 468344459, 82620887, 944609109, 218244955, 32283990, 3207286, 947764773, 909240766, 937055611, 734149398, 271877098, 490404546, 211734652, 20024230, 372545904, 519031231, 767166124, 966550809, 227315980, 155700295, 311904303, 184894297, 259739853, 688342636, 701535987, 112047754, 456278218, 114132524, 215171595, 45989576, 335534291, 363443926, 494129232, 335409663, 101247308, 167261650, 42762182, 55352506, 11764276, 556445915, 679920194, 866499751, 6991811, 184654273, 542653730, 841948541, 177315823, 918694704, 27249612, 269849091, 489052604, 196855267, 867127973, 761425860, 942094338, 620558416, 152237381, 529605906, 328031377, 9218698, 891162852, 305803192, 305087356, 61901359, 496422745, 382710807, 19143006, 812579371, 801617161, 906854680, 214305178, 986399988, 349988483, 470172702, 905817944, 131710881, 167648804, 841778880, 192159101, 827547703, 634913802, 967383307, 274745823, 589322372, 363260351, 747943926, 675275635, 834583262, 718312420, 182474047, 143104522, 757926346, 313333695, 322883359, 705422516, 167305014, 666567468, 404011475, 724539797, 688904814, 310898074, 814934513, 449855024, 806543590, 673497337, 774739108, 589278564, 692617398, 323523308, 472949518, 643629624, 667358645, 525307255, 737074954, 771960162, 986184023, 422094352, 468520228, 576571461, 311231604, 404982617, 69880918, 629568850, 865200689, 337373929, 295412461, 588033030, 703252432, 435417875, 295581366, 507723282, 942775208, 645611423, 267860760, 15337383, 943760025, 736493088, 30780639, 936817749, 789295913, 47224596, 88597360, 499846292, 639439694, 71247674, 9992788, 660660445, 631160257, 620239, 555834644, 485398529, 103539004, 369882946, 624334025, 924095222, 921020984, 176466465, 100747493, 247487155, 715895679, 62535495, 552321402, 822375464, 203651681, 442988171, 345938539, 754602971, 927572096, 772219944, 404169830, 101102230, 446258164, 625477800, 669049923, 830459510, 112061175, 577656212, 804010017, 440257220, 289858339, 786790378, 663236701, 604311798, 275413207, 708999955, 189262728, 283164009, 275115922, 334377355, 997591831, 385629393, 656681007, 847042014, 641416831, 932119109, 360300013, 993611935, 556818239, 952590781, 510242946, 583792067, 490562526, 275366315, 697994737, 215278485, 172157343, 460293635, 886102411, 53594931, 2489252, 500899515, 214183283, 958559677, 157260586, 470112862, 587280712, 865876352, 856925326, 397371046, 562547650, 231169480, 40433049, 626853753, 625118291, 378078233, 430376597, 639294788, 992776848, 52368936, 804346912, 861757127, 716344018, 820196419, 8057324, 456688345, 850770653, 529308949, 24207663, 453596898, 813133511, 757022390, 74050225, 292005482, 204194272, 883760801, 311561543, 958553838, 80214820, 527810997, 832427278, 562603227, 765505956, 375892105, 986725482, 811819208, 158003462, 240557182, 733880901, 512200588, 355374891, 819124938, 27697807, 774056067, 698118340, 904095150, 511156198, 209818731, 621748190, 118002313, 804792089, 127477, 739895643, 302361061, 735419365, 654879508, 153380045, 661473308, 588658090, 442817478, 173223184, 476070823, 710347085, 932386818, 874021515, 654240874, 124352018, 791842805, 216754846, 801807082, 29830412, 158108668, 164197588, 581350769, 678767497, 190971568, 224094116, 271378264, 428583404, 518816805, 870195492, 810751924, 286694744, 778479655, 407059249, 360759585, 98757688, 305698230, 545415962, 735518958, 727176495, 437903066, 786063860, 530028914, 559418000, 28947898, 508567703, 191578528, 10474009, 220819554, 557278379, 594971083, 904017047, 828921725, 706430420, 874891376, 27526912, 542553184, 527113732, 241406420, 616254952, 577109508, 262741913, 223137581, 656866375, 249564534, 112613371, 787605116, 126614585, 955827486, 370447122, 278639425, 484329, 426287230, 622559892, 646025601, 460921293, 690776279, 491330254, 124045605, 681548016, 819001323, 20057659, 638674020, 497917072, 235768359, 467115818, 206149435, 156892351, 766546038, 996541093, 129463523, 884284834, 935306796, 431565773, 500681550, 261792861, 753291082, 948301176, 268035519, 163106294, 916948628, 354898974, 219933438, 236592294, 693006256, 188285530, 206355267, 178978202, 884206349, 69687580, 985795894, 331610062, 111664829, 416817188, 377402297, 299442172, 344890482, 696229612, 263360782, 996625339, 221474509, 297995066, 595769889, 208042473, 410470680, 500515397, 499989380, 706669129, 814985458, 759077123, 263493292, 699170037, 631339993, 253633610, 673192124, 675153141, 874958993, 37008724, 711343196, 613401322, 852648143, 600678990, 192394648, 51380980, 829820044, 894915171, 847149398, 860985105, 605447682, 142829439, 20193112, 398855510, 410702835, 806976249, 502955234, 489964236, 998431646, 920991916, 139015393, 636790415, 978489841, 749580590, 243184338, 112588051, 425231137, 510066260, 731698381, 889502629, 242625057, 657241337, 526938482, 176143480, 312508964, 478147944, 392967815, 61867452, 738099801, 806995199, 28148513, 334041363, 526994652, 549523512, 997330143, 647203687, 590394654, 318388976, 762861552, 664472564, 219924447, 332483135, 478404589, 454506275, 555239576, 611009977, 664994653, 565399650, 550644317, 651817697, 990580966, 872172148, 778173761, 127493417, 946517596, 971821630, 991518081, 484533600, 873710238, 768278376, 610970377, 444471745, 802122109, 289559545, 53692899, 84198386, 88979806, 967806712, 206892122, 75939707, 755808621, 248474676, 436137086, 891079738, 811733611, 744072298, 32439052, 548305781, 283647264, 55200538, 724422252, 800358284, 531016959, 501470485, 935251647, 830909481, 892557521, 273232579, 575399940, 913241549, 992301788, 771887932, 969566616, 300056777, 33027736, 975420829, 841222812, 572343830, 346788874, 721287826, 294625586, 604646283, 780128537, 392076861, 139362064, 250657742, 870803342, 309935086, 376093361, 245163505, 170388143, 816448783, 340979164, 554358651, 371377783, 465152588, 908135407, 494658147, 121791944, 645611620, 582822942, 818214185, 134241336, 353206920, 343114124, 326255233, 649106459, 489165018, 233153938, 685605118, 211485005, 447450089, 285024179, 195241537, 565056018, 246324474, 132907079, 731327708, 176019591, 219547312, 632887307, 775792115, 95889334, 617462687, 118422240, 881714259, 359904982, 534443588, 361941965, 601011066, 19152667, 953768602, 385249628, 339896257, 939834422, 601880479, 40700547, 323048022, 957326118, 805975658, 727097429, 912537037, 79310161, 888873514, 236679939, 144834296, 555877519, 258273497, 117582904, 983278122, 595211525, 945227383, 907062005, 395049156, 820361411, 493387429, 588956513, 39714758, 601891195, 450393111, 813911734, 661918883, 139466027, 359814867, 263450008, 213494868, 395076209, 223693248, 994099272, 308686372, 362186690, 187179680, 484417252, 441646315, 502952031, 288255039, 337438545, 38857252, 11799186, 712908756, 50904556, 69639046, 155995327, 96157440, 635963592, 371780164, 37520382, 443480608, 710939489, 759085732, 906222952, 140007168, 838758451, 493094423, 853477895, 793640028, 253765299, 129229440, 607351012, 535035005, 923353901, 355140445, 955579327, 496811034, 301502339, 840610700, 219380006, 100220383, 646030967, 301643694, 504969823, 366188601, 949179021, 312511339, 468984024, 478105334, 278045498, 395881531, 694835154, 101712731, 737040035, 99905163, 267056637, 601786518, 136249352, 228647165, 76088369, 308669737, 274645567, 76231167, 650842107, 177273533, 390541831, 315853188, 458698482, 862432231, 651299469, 772351625, 496172954, 434273998, 623443386, 407681939, 460978329, 472032575, 578294801, 951734031, 814997775, 121899461, 531317607, 987058322, 232519090, 982546151, 920045591, 140511203, 755837030, 701754928, 802310336, 672168874, 99741713, 261312495, 264869930, 336371467, 753080039, 937520766, 138934044, 332960014, 743445692, 139055284, 494595886, 335395673, 519169752, 603537709, 914846993, 754532808, 384628026, 204867798, 356837423, 362795446, 933100334, 468106281, 562887088, 832500809, 984723757, 309292029, 302777636, 762940997, 859182498, 463467917, 105321213, 54985471, 839279794, 263374397, 107429858, 972148947, 922410684, 660763770, 844363642, 456461716, 439363063, 770433373, 1417753, 96317378, 720084812, 662508277, 824171486, 107475608, 701768363, 249390976, 669283116, 586425300, 702342692, 243790459, 245960695, 656946889, 744763795, 661193474, 803720756, 649770505, 213887785, 41089897, 797862045, 273588905, 217114848, 357889603, 127756619, 188937683, 917491244, 464365607, 976448096, 701516983, 302462356, 57602382, 645130507, 675469545, 858621811, 819486668, 750634579, 196530735, 570863568, 261871813, 286548526, 441157270, 371153461, 443277117, 563537775, 363696273, 494551943, 939506113, 692882022, 320427364, 204599404, 655916406, 879950460, 108348520, 871580316, 633618504, 896359204, 679702914, 448350085, 207275270, 919654100, 982626997, 52329222, 636235147, 221223082, 326059345, 404316320, 757495426, 134140786, 863715451, 25201970, 631359077, 161453992, 427546327, 103466596, 785678344, 711293690, 31536692, 270984375, 212341308, 883885024, 299622932, 438504416, 238473964, 32935297, 359080417, 254612763, 182411867, 314556471, 288722054, 400619833, 405171111, 557603721, 801636532, 328343224, 141141921, 271952298, 988934438, 577375719, 624587101, 769860801, 819329174, 632820525, 637881046, 242326192, 598341118, 699040149, 685705025, 581449529, 18602552, 171407868, 691266286, 722576152, 562897587, 679172454, 383661719, 176029747, 299774287, 720594048, 189866900, 3984142, 512905887, 791918569, 509950363, 508852782, 339852949, 973192598, 834715119, 403450280, 25584717, 686904464, 767084432, 24396485, 42434761, 90138536, 286760949, 912593686, 59814451, 138347163, 19201776, 420863997, 714522176, 241866978, 456230245, 4528682, 517250456, 854467403, 765724934, 556372603, 709702275, 443864959, 410318209, 550877613, 253107307, 680346108, 248150350, 640762850, 135451228, 907722613, 399661689, 748150228, 117177457, 440750283, 673876283, 188648874, 172568866, 230438631, 746940000, 118842486, 224081645, 741016444, 968345642, 963670447, 415519105, 89169867, 887685073, 744356177, 920055415, 246619445, 891571441, 348138997, 315720491, 341695393, 582932781, 230597498, 810390489, 714609552, 825865668, 896556045, 767326619, 437688846, 135498886, 168422509, 235823186, 956796056, 160416668, 533704085, 59903191, 916076026, 585551355, 204320993, 189501701, 164473007, 854246696, 564102667, 202538389, 553226576, 155902965, 231103295, 290075301, 797898168, 553018877, 406020713, 109054901, 104504049, 816557830, 831468947, 708315999, 802406183, 418204134, 891692840, 786748545, 771824375, 238944438, 818080487, 402621486, 496172317, 542110697, 143321570, 337569097, 463361946, 999107757, 461559300, 506390479, 562547167, 861648039, 386466507, 166634189, 969173429, 209377606, 50763384, 532913236, 88577727, 33809533, 657342657, 777676882, 6401302, 41984805, 451605115, 525041225, 698687170, 887666480, 841538404, 443886390, 421539125, 932434209, 255025236, 57063758, 212549696, 220241061, 558250560, 756442511, 956202486, 705850527, 502128718, 722600006, 26665731, 301194501, 893771741, 17536631, 194166516, 265265083, 173725555, 648339216, 346697943, 603537529, 844452241, 265232685, 328970815, 933677449, 19404256, 956411069, 527982430, 22041086, 142709929, 693468734, 351748984, 552648273, 588417636, 382972484, 765775291, 52497928, 453675760, 631800592, 256564591, 300127942, 972099832, 309874812, 223682015, 690792026, 342795520, 556531897, 836635526, 439368379, 21649523, 467709699, 806958719, 241996791, 515663175, 39325315, 830342504, 726913695, 690841957, 457918223, 880904737, 549589852, 612413421, 475321702, 322765138, 147471558, 886896445, 798388500, 298413844, 546376948, 210589724, 389892434, 620127692, 28363001, 742750505, 614452928, 74742464, 999315754, 570207098, 114397329, 774393905, 136187306, 275515992, 776296003, 2864113, 711334087, 262286133, 306959544, 18516733, 437230890, 640221503, 486969561, 433991256, 516741707, 980973944, 146334787, 44797735, 994651776, 50221544, 91798450, 304522266, 157948551, 353186649, 98892189, 64362155, 132907984, 461130008, 17075932, 878446764, 570523433, 457457680, 895598755, 374559411, 903312440, 429577018, 525323712, 152819652, 432330364, 193109046, 109800758, 848466094, 909911386, 962875284, 619017693, 890625699, 565335848, 126844206, 916804286, 379769066, 136778820, 17857559, 624946121, 260161453, 464055999, 113734199, 148861681, 239178161, 539977570, 468346890, 779485957, 217827913, 738904037, 109009094, 193259237, 209371104, 104284876, 994714651, 69807734, 237140423, 795626915, 470350423, 621758541, 8003794, 911530840, 176935074, 913807547, 582411415, 751265917, 989451829, 197998463, 8317038, 599474465, 279199919, 487323218, 21386752, 936271012, 23042345, 376027103, 421118601, 768640274, 184239161, 157866672, 628673029, 659279293, 591145005, 58312144, 420843028, 763862992, 571713235, 911460944, 694001543, 594082542, 383030232, 792502732, 572771185, 403347361, 252904736, 706213094, 92262739, 645273186, 323358538, 614295601, 967331890, 214391285, 499410179, 889866767, 15502582, 587425995, 163077395, 740023846, 33168729, 204529541, 410459690, 39360683, 205902288, 261178856, 573498091, 677668637, 833560110, 272759826, 781930829, 882654392, 319579828, 203413948, 725664625, 526328245, 180604572, 886568902, 852119305, 348417880, 768560433, 581082098, 746185909, 145021289, 844105775, 582296634, 212463008, 80871768, 828284303, 524540516, 337809383, 273883655, 13090504, 211394396, 944261926, 78498162, 47024161, 109673128, 42598639, 29547248, 311918130, 400464295, 445507337, 22727708, 666047420, 452000946, 185098222, 434951807, 372389615, 434857591, 992786030, 634432553, 60308056, 906952631, 277194079, 659043672, 763175007, 477211565, 362902436, 756246484, 369104895, 723673851, 157404699, 738120182, 999387121, 329654278, 963098152, 406351880, 544915269, 879079838, 932976359, 478384699, 752794669, 951450797, 267733394, 935553427, 397002660, 557606834, 444705668, 650315692, 74763654, 810107730, 11810701, 131683672, 479213397, 633700557, 783052714, 237451712, 998578604, 23714871, 586686638, 260773767, 402721708, 397571405, 872559166, 333605832, 976721352, 887262991, 26786076, 565267798, 517120720, 842483579, 175200806, 685113315, 186883802, 27939032, 129089384, 418926634, 876846466, 438868506, 62843661, 606423792, 569434867, 725475205, 256412494, 1339948, 718399109, 577414596, 967657410, 164704622, 246769505, 563788533, 338213641, 887013994, 595802577, 605322210, 16422056, 380118947, 451100359, 648441431, 705243318, 819715230, 625282049, 555234838, 566455098, 175648281, 493591835, 739003271, 602610139, 506208292, 907265212, 415666079, 213661953, 59107965, 761951793, 255184265, 473043218, 852885030, 145489181, 502576969, 796183292, 22207498, 115736872, 704584424, 319370084, 154849744, 174166910, 273547898, 638232869, 192004621, 611892830, 872176572, 602220690, 300759799, 821896943, 349249622, 856194353, 424656517, 228176179, 511850408, 311455871, 250131351, 897075604, 869609614, 649018761, 595984422, 887175282, 588084682, 8811775, 578977043, 762894983, 202618649, 488865500, 447747209, 509010545, 825193593, 273744241, 499146846, 147255257, 45725285, 86545108, 572755715, 297431453, 94722824, 378944715, 779477956, 977181830, 435713357, 577050463, 142378245, 679207691, 362576227, 877529158, 487468658, 801732091, 14128923, 398076287, 117690076, 658395878, 196556255, 599437958, 942091884, 435917417, 177244239, 763635195, 47209859, 548917447, 221810682, 644590859, 842781373, 304754915, 875857566, 168782272, 809599609, 855536254, 687706729, 929073658, 228058790, 118953571, 663284928, 935480625, 273278755, 92069202, 218633529, 923215189, 134018078, 168877088, 812529636, 434819979, 430082965, 860505636, 820381237, 409303894, 434323284, 665013721, 647861575, 746981751, 429484365, 890581277, 479444956, 497844347, 90267805, 419228046, 514766174, 346480837, 408025143, 587179290, 524423163, 214190250, 97583272, 992493680, 559539842, 171375888, 378820084, 47206471, 579527851, 356068260, 162699553, 441525836, 438658777, 153650270, 618447193, 242078095, 101081467, 139084962, 554790883, 30625269, 746796880, 929976901, 590111786, 726979268, 600286405, 154538076, 334112403, 696532337, 1077015, 618521238, 695196842, 869541730, 378717921, 748062712, 126253823, 782811046, 291873211, 277453099, 778938695, 846283566, 935221786, 209042564, 730033820, 755437777, 218112551, 409481901, 368484037, 896162187, 536195631, 932579581, 558011253, 110910120, 381251541, 699269212, 798456558, 887406129, 842215228, 643152261, 767109372, 26762558, 497813620, 998342961, 382414263, 606090593, 157268542, 879097191, 212746217, 977819610, 125573414, 178718049, 177997110, 584705337, 477159193, 669001614, 25041540, 174643978, 760107346, 992674848, 779220743, 827550477, 978249947, 390220975, 329848185, 918869414, 592560505, 860747249, 107762257, 898690241, 807914501, 514767281, 507008176, 329101999, 779334267, 400044936, 762993047, 369514973, 295382622, 892268415, 481738056, 517877701, 825338825, 970696129, 668864083, 593155499, 382218773, 812127623, 838783189, 51322216, 385900355, 762510790, 349934365, 208324328, 699119185, 780516503, 643235373, 219751442, 687312596, 441587503, 396550978, 401276436, 381831681, 406209023, 589705358, 288906247, 74987055, 414927852, 934748697, 909116694, 706654917, 212542034, 716505783, 147041000, 371844038, 38896367, 443169252, 234812857, 716954362, 945941011, 537070895, 498004912, 729989546, 462645041, 811747484, 850933087, 218968896, 376537858, 289037058, 657083837, 874004972, 17678804, 439065922, 637197974, 3430469, 424829115, 385124487, 431650963, 750032551, 445471856, 414463000, 657277426, 356836194, 693648341, 500245352, 995509877, 763517870, 642651086, 325030865, 85166635, 884532587, 921232590, 816674057, 37582465, 782690727, 608399503, 602167210, 378834005, 888391837, 367475510, 113495717, 70990586, 348112483, 125840684, 226707321, 264584017, 827046332, 709982105, 453627211, 307123827, 959009945, 593170069, 96725357, 460833174, 876021010, 577282566, 881534381, 322033030, 699104063, 571250404, 308070503, 870012640, 687311003, 280032042, 432999299, 85326454, 242481354, 222377979, 902143893, 947209039, 226025946, 740943849, 413226785, 799931928, 66938196, 726785487, 507093729, 50330490, 129662188, 376451399, 995681940, 225737484, 393751056, 721231554, 803229382, 53194261, 359775605, 187634186, 946745313, 573527133, 234167251, 149972314, 488966889, 833931935, 178881112, 361362022, 910509140, 604868478, 555268623, 593821293, 706641164, 126389386, 194151412, 316328656, 141709613, 886665858, 252139757, 208463176, 159376730, 172124186, 940854926, 783926630, 692332734, 379943196, 830330795, 304555320, 185795500, 365223336, 245155436, 262885216, 293102674, 130281234, 203447665, 562322487, 227468982, 393666365, 925215790, 569163533, 811120920, 794309094, 933802469, 255339696, 984129773, 92450081, 178348046, 206563091, 639447306, 698080218, 232540253, 862062096, 297483934, 68184301, 295146476, 717600998, 187765279, 697970541, 240889913, 904184012, 54504519, 373807650, 860523204, 974813891, 561852923, 247270914, 630327673, 416836525, 80840158, 121609071, 726835292, 617984446, 663909321, 940017907, 926253781, 957969212, 288669252, 599379374, 590585063, 500792025, 466011950, 333883191, 140540858, 336674347, 190345724, 495947866, 100176728, 725467764, 428906362, 535729055, 690857381, 648858391, 277548172, 489841941, 608757268, 87794427, 289734714, 830969769, 114107720, 684968894, 632499617, 702206203, 691109888, 320889185, 105253442, 892882482, 474291687, 430830526, 76971150, 229508241, 102343427, 244140534, 423376506, 801613087, 52775791, 754726978, 790072357, 323651834, 53314129, 438667195, 127866193, 277422155, 615801550, 856384450, 776902459, 690077440, 825054819, 316188158, 902852027, 458792737, 281490613, 785462375, 139675566, 475083866, 189682146, 875289467, 358185787, 472984899, 168152706, 788004676, 820428316, 30549218, 742463350, 64428483, 535316292, 844229717, 793912811, 265412523, 325971711, 193405244, 731144498, 618429665, 431879052, 670584997, 85261190, 49373171, 322266377, 198465669, 516826100, 976106893, 42217512, 613929403, 858774041, 894803222, 724168447, 657443080, 8549236, 978124950, 120661605, 807395005, 672062728, 709755617, 261193647, 296548783, 203123004, 504684198, 334158949, 864028422, 553033197, 521966681, 755842938, 40405558, 249566408, 956040895, 301564371, 711247279, 973468664, 195023617, 826941170, 626914912, 150502118, 734858361, 848662108, 971330240, 640882190, 112871512, 648790913, 615987317, 50702464, 530775375, 477931469, 707875726, 893731086, 178075012, 165545679, 642285660, 388651697, 438300870, 236067937, 56816092, 785397543, 443965139, 989269367, 616277246, 75278980, 126532845, 926765690, 626462706, 598311855, 869233220, 853131085, 804389425, 656688688, 109817009, 600432081, 599560689, 434330119, 779358934, 295525051, 920579721, 30995226, 16916323, 474383938, 800516684, 357607748, 224956907, 539294734, 269766333, 924926124, 289684125, 721706655, 592687393, 262491814, 620485728, 986498372, 811342203, 942261199, 521214733, 810647242, 674064415, 818029961, 595677740, 311547868, 923030159, 351456885, 688740836, 774014713, 797582285, 478247387, 591340244, 755418935, 897657197, 506693486, 582265111, 559838698, 654491284, 434276207, 798263097, 321536352, 902745552, 81909663, 936937521, 259355636, 448503640, 457740945, 357035933, 692526813, 987694171, 534600756, 960623936, 115888894, 142863996, 449635102, 627842560, 435103563, 474934184, 760437029, 230260823, 806614654, 807708581, 110411393, 745384073, 933731448, 369646761, 48531489, 931146132, 775640600, 267345028, 748291616, 154764042, 375562743, 241470447, 383894039, 400338625, 29903072, 812454682, 148278695, 364175193, 798776791, 287827740, 334542537, 593396647, 905932382, 457747836, 962155740, 164515226, 499299774, 10015436, 245931565, 574006352, 467196920, 768901285, 37760066, 97072574, 521029010, 373748848, 821454127, 875240346, 245342105, 63575657, 474122588, 121214152, 868235779, 657183686, 636770791, 769344889, 250421193, 141349788, 765707389, 128158924, 612234819, 818397609, 24511623, 822562094, 440456789, 895510955, 9852750, 272556396, 134687882, 291163696, 699958793, 403743063, 582033450, 778734654, 855697418, 822636123, 559309785, 613673088, 530519247, 361042535, 654444923, 385904039, 813297910, 327235979, 663838153, 862197552, 76449585, 746779492, 595223212, 915070646, 292723065, 290775395, 136050207, 460140376, 573988458, 187493232, 902871375, 376997800, 499235627, 385152915, 103668745, 430454858, 657863577, 871647105, 820996673, 152039939, 195987833, 850759059, 103425373, 28922318, 782340232, 86388842, 394632127, 639789004, 445875127, 317388769, 901144152, 382517655, 232949995, 601269323, 15122119, 602635409, 78252711, 928822088, 202016537, 633082032, 759458272, 594645445, 356842775, 448984395, 632264083, 506098044, 799766645, 609019447, 436875542, 11462047, 450733516, 388540604, 829753356, 656089699, 31084687, 144536964, 443874235, 340787093, 935330707, 603735350, 910810757, 168344420, 726527562, 171976590, 59046835, 406506808, 525606008, 506691831, 716383001, 538170404, 413143454, 213388101, 98247690, 992759579, 490271333, 918411787, 526374372, 940147736, 766306993, 713206084, 743670964, 750412230, 277621893, 344601845, 366514256, 997462810, 256359791, 734856725, 888005153, 719730498, 120070092, 688612218, 84080888, 424060456, 898273861, 489469483, 752240169, 186313744, 68568845, 262165198, 53938886, 720316277, 409102370, 565431354, 394532930, 148940016, 655242533, 929726820, 41376044, 147170680, 528204629, 154595305, 382545790, 372671388, 857192753, 157354419, 805913869, 356679461, 137117749, 954324332, 633788176, 890445467, 966729177, 310954147, 833773720, 385693265, 352529007, 618213465, 555662053, 955972217, 883118486, 110340268, 38034790, 505708672, 492246932, 506276202, 919693487, 466178246, 189215483, 524639535, 463247069, 337810951, 537479891, 966961776, 40780969, 37336322, 584694795, 72893337, 496182853, 869752069, 788278183, 970657378, 702029676, 629773316, 363278252, 433079866, 897744332, 558940849, 922387927, 279017001, 431411072, 308011163, 497512105, 837328666, 931283917, 518541395, 945170885, 707387622, 944479722, 17919600, 676711445, 808533238, 917457309, 207936015, 386391548, 937017153, 167137303, 165274266, 354649645, 380128564, 84517066, 61768415, 590658030, 591665903, 142058042, 846153906, 396890871, 598712122, 421092537, 263014535, 983425634, 236845330, 440640793, 234615804, 439856261, 665496335, 950727179, 692405443, 380543272, 537250421, 31996142, 275088422, 537353452, 656240893, 969985886, 906230904, 245803351, 306937369, 521679754, 44300624, 35528998, 685932336, 179382193, 14347865, 593127450, 697491830, 99425465, 611447134, 425919262, 899351158, 608115415, 236959650, 768071992, 956428306, 334818441, 751663353, 158841298, 734432078, 819525906, 888504659, 900381749, 777540623, 217224703, 104447426, 116054724, 227342584, 46276759, 913151203, 497687583, 677403, 160302570, 768080248, 127776183, 28797918, 116240180, 301356089, 460336715, 78527329, 524578260, 692812458, 121250876, 568173438, 738156583, 233522775, 599987478, 820907947, 799060974, 838910971, 30140179, 918448559, 849500990, 113528562, 374797795, 695655578, 746918688, 385732829, 910338706, 249915200, 30394365, 626664496, 11659149, 457890061, 740736119, 407306161, 265813560, 598145488, 562342082, 816786296, 851418824, 154915299, 228344323, 808184250, 56838203, 705213790, 326212626, 422325556, 22950164, 677703694, 3019282, 451457497, 974158612, 408762295, 784694852, 712255448, 299676204, 924756691, 728134740, 642135287, 210597931, 883124389, 924965957, 783258697, 71595694, 727250118, 467148416, 125740707, 479113347, 316869714, 30717866, 982118842, 489343847, 977044589, 119090510, 307708818, 625696004, 23530062, 443996739, 162687358, 659550591, 710837783, 878025368, 188719872, 637595529, 528842839, 192714305, 937200855, 540728922, 673050154, 734087360, 325145565, 784736664, 579582576, 763008528, 373032337, 578043323, 599812887, 325340862, 274066433, 31308094, 129362893, 858883932, 344683035, 587516760, 53228499, 383013525, 120737840, 487736954, 695690415, 119606250, 588458258, 408950274, 749944463, 622718322, 461477205, 713612938, 174632056, 70299054, 591029812, 200768712, 805928948, 632231372, 564620915, 573507717, 226554701, 184473955, 399735244, 7223393, 949361599, 112776749, 410374285, 893618674, 908472643, 375269081, 134059671, 16600084, 861601781, 245690502, 464729641, 962046502, 445583539, 744829353, 506453651, 863520462, 56855334, 881706238, 950703026, 916537396, 261443106, 104913796, 290677616, 685782818, 874577268, 94710204, 299599267, 674519200, 346186234, 909969009, 235984718, 484795850, 578015525, 717635958, 232887365, 323462094, 521291367, 285207051, 278346037, 953498883, 883504890, 616006254, 203669814, 531358179, 855634523, 235025580, 705131314, 246123860, 240663489, 350951470, 38681221, 770100540, 133258713, 802526501, 387935237, 615222342, 875499077, 845947402, 485291492, 43618225, 401321593, 853793018, 208479109, 790935798, 511665169, 56664604, 363864836, 267890696, 274599221, 582653669, 585416240, 126508837, 367025832, 274113841, 673064395, 714186880, 688936050, 89279536, 267119390, 542822265, 106001723, 30662879, 769586747, 886480502, 440506889, 911833553, 300723781, 78486651, 831809276, 128510119, 431851907, 289528963, 138644244, 757891627, 648566083, 295045003, 293589568, 88629454, 304933013, 521221527, 446040659, 97129190, 329619277, 372011983, 486349528, 928180901, 259454053, 371389147, 495444298, 474558742, 420543219, 767700737, 280369292, 331061750, 460939722, 106672120, 43620907, 548248447, 102628085, 497380929, 865733651, 114849146, 572758714, 13577351, 975629584, 29523472, 883077939, 158868632, 300722618, 685460150, 986158379, 47564819, 139705909, 939469952, 362391155, 464598163, 79363692, 983580727, 351350179, 307674682, 386970754, 245108838, 50234617, 235068712, 509594566, 258167014, 596064130, 828050299, 491944781, 460041950, 839141334, 856806323, 665188007, 623432512, 869189487, 97842526, 943622895, 324381850, 640036930, 835397391, 209892214, 758033562, 470769723, 726013237, 900063986, 106894372, 906893238, 120825864, 836945311, 981549454, 428904988, 929308913, 291702381, 756338381, 309548644, 812450990, 504109998, 810125681, 653369839, 272557886, 246887379, 713046433, 301325067, 639354785, 158503068, 459516842, 856074168, 878204054, 36557164, 360834290, 746496195, 222289435, 916750059, 929237605, 260534918, 454325284, 487492004, 367828863, 842001647, 913021341, 329741659, 789779145, 189750510, 977519230, 208409728, 767607703, 167659925, 855883328, 546580728, 58874333, 95628512, 81751841, 43801027, 244823849, 421706868, 689197966, 843929874, 812199386, 287995818, 875217883, 827259568, 24790200, 991884476, 541682905, 952531414, 96677249, 117916622, 883011830, 860020903, 847643064, 158521955, 205587302, 838529161, 162888620, 681789504, 664261695, 522810810, 998448385, 220613870, 308088518, 560054332, 178877802, 725840018, 456215807, 847476751, 238085923, 182248870, 985172964, 783711673, 361328101, 716461129, 477774976, 417413864, 373145342, 17150855, 43509979, 274627562, 554792502, 893356104, 559075715, 135343297, 873183618, 445273288, 569469879, 245873584, 363363981, 834943680, 347605172, 872968365, 527869044, 694815665, 153125420, 637355791, 896939249, 915728807, 27444900, 922033563, 921855882, 277301690, 575481005, 162153756, 163853329, 481201045, 296155141, 756457708, 901060185, 195675794, 217936692, 364493024, 61434761, 131126362, 870470561, 189890544, 641774036, 46517980, 119321179, 596736714, 228459721, 485118487, 242049107, 126196134, 32531433, 103725996, 301048872, 349849034, 564862110, 620500446, 324710666, 795335813, 335956172, 267308978, 828861281, 142996589, 498222481, 547238399, 635896867, 677138856, 470748401, 733404382, 351376008, 72515190, 207772873, 11343098, 808023433, 29443396, 58826960, 796825727, 717225597, 439769447, 995125173, 356683897, 194635318, 373718443, 605798583, 727624925, 783191294, 489409286, 201492433, 57641990, 359569956, 819104147, 795664636, 740950742, 168674752, 589488128, 324083733, 300024243, 40737812, 324882906, 856273590, 303522106, 279567373, 945909377, 459488216, 930067298, 179099437, 519374885, 454963991, 42420956, 4116859, 150911745, 227226597, 109139706, 7815158, 196679091, 415587897, 38659132, 760895434, 492302112, 704190548, 281591460, 209294963, 227692270, 821198676, 57634937, 903870702, 659928947, 835732760, 914797490, 346688632, 377931500, 611022676, 985773875, 556835727, 339897172, 337649660, 595569966, 512647760, 135836986, 11332383, 613223796, 527161435, 45621716, 614596364, 49358072, 28683833, 666541122, 536325044, 584664389, 788706559, 862532560, 953836857, 105542615, 373555542, 546021439, 320088626, 357621387, 721822377, 509490610, 4655898, 350200894, 619829527, 347366158, 363249662, 325973020, 237572053, 692304724, 392515816, 378416444, 290118225, 331539116, 19414523, 860198111, 213598105, 382821394, 166131399, 802371177, 889486248, 77770993, 757710861, 604427207, 217662356, 563923889, 250179316, 463331004, 862648688, 992102944, 401720281, 886658212, 837987806, 389899420, 979199859, 912228151, 439592991, 976916863, 290338806, 20799983, 748502383, 516549738, 392822307, 959251502, 563914876, 27804247, 601967916, 191681303, 656937990, 572403566, 609540232, 460549032, 922052607, 742389113, 21936845, 349384935, 369088395, 723455024, 624095854, 1548430, 445489511, 167368520, 171770706, 470689207, 565227397, 876667933, 400411412, 261403578, 910898248, 286515389, 529835068, 203212658, 614341299, 702872967, 430053176, 466525560, 777878215, 702374103, 3552794, 450204238, 409424013, 318329091, 585753290, 624938707, 164615625, 892558739, 191440483, 230013644, 238478488, 887700280, 196584505, 305769421, 871828410, 452397650, 807127006, 922629372, 358374057, 406265301, 605644411, 75912524, 764739132, 85265969, 649468760, 196462725, 346689357, 510109176, 528901219, 286585575, 293637695, 811302582, 59101614, 151261439, 519095850, 517050524, 631334846, 321108636, 811812759, 971527098, 253910835, 879838626, 549502188, 332946901, 79450967, 631296297, 215362527, 133913156, 586116961, 35623089, 6024214, 860829666, 788776454, 653907395, 319791400, 67022274, 552505054, 770741595, 126233765, 631889696, 480950716, 83249555, 694782335, 140907420, 470477761, 765136424, 448442267, 785993506, 200578581, 541679080, 198635730, 858305701, 891628985, 9659826, 504988026, 237424774, 915796033, 968038032, 524380001, 178565496, 901052740, 822719558, 231809940, 41917432, 519930668, 356960129, 300100539, 847010947, 990655534, 728983782, 172274615, 78468174, 677328424, 544689510, 19005926, 337289194, 667148295, 951884869, 155948433, 497160816, 944560082, 401625931, 325055665, 137315653, 542071790, 209109143, 751042561, 415391277, 113640574, 887348413, 610991822, 252299863, 93116609, 330764788, 803510923, 655510523, 608614358, 818062223, 273329600, 527643819, 635117535, 633598212, 438163038, 242332743, 831973842, 780109612, 737231886, 315322639, 97508906, 881221045, 553387464, 713951774, 461824405, 480876614, 874963066, 878550508, 443920934, 695111174, 127376756, 914853982, 907424498, 184545145, 341996974, 245426177, 58183828, 515296442, 327538092, 217933694, 971113739, 407186971, 580291849, 377440843, 235769980, 295621144, 357611654, 554704196, 128406826, 829541491, 30466616, 257997904, 370532473, 618606756, 936771549, 204291158, 803781839, 897501949, 171434622, 673373600, 670559816, 694877963, 590720507, 902874117, 301883512, 518793197, 671124926, 881112596, 770848481, 315222975, 663104905, 494946600, 564388150, 97267561, 372154749, 518924991, 303964551, 900799306, 740035372, 142141013, 107527541, 848929095, 182848487, 655933176, 125702344, 675988092, 111165940, 495740814, 30373490, 815851093, 449922636, 64656239, 29149277, 26089487, 581809328, 226607355, 848085177, 705675331, 613417979, 16570140, 506886428, 123067839, 719629827, 795787423, 598606497, 967568991, 899243260, 271756892, 700371092, 25931308, 26198816, 403639769, 767167335, 602386321, 931084191, 88224520, 38415275, 926286667, 392131471, 910154934, 11075179, 420481914, 442483240, 72836359, 698547310, 246659535, 864027147, 791493809, 684809394, 76509389, 366254389, 34617774, 978992564, 626153707, 546072469, 591354578, 598519903, 761884761, 457777677, 212728064, 15849212, 4611980, 964254701, 82651506, 73732866, 392234076, 802150653, 487613192, 944103032, 816939389, 604559892, 759237854, 260730274, 35192643, 89055870, 386354938, 848264754, 946936969, 843111068, 323973969, 806719816, 980100423, 98463770, 758711925, 886799243, 164798552, 41698868, 436092096, 619210580, 667520407, 36451125, 909125133, 821657718, 238778562, 377235211, 721775411, 456509216, 462914427, 518197024, 88293058, 932114554, 313882095, 312733745, 872355533, 263949758, 388415784, 305435606, 28412617, 319533350, 94639747, 762587981, 666710679, 83859407, 542871024, 271967250, 148545220, 353831150, 791551191, 125862223, 362590246, 323977890, 115484677, 6019688, 512936262, 717014809, 82100506, 227961676, 557417753, 745246928, 68257842, 323017522, 773016783, 736077339, 12961891, 602649399, 731548317, 372838068, 846933162, 626671355, 210406311, 925337561, 665586888, 968626701, 892005616, 540728317, 413006333, 355656633, 966292243, 96435156, 973262840, 100999979, 600510043, 97821795, 170374302, 647660956, 539807106, 986717507, 293868082, 349696651, 819508671, 878619309, 944288454, 936523004, 309312441, 875997557, 749946495, 280640834, 87768712, 956114985, 166830175, 105132211, 95548008, 380955894, 387943747, 811540045, 336313080, 698082597, 498864752, 758019087, 832010724, 950082791, 629932730, 808475336, 860309916, 351071325, 238366065, 935296592, 3668412, 938311508, 126957413, 355047600, 865710883, 323900481, 288564082, 565191639, 935367477, 788689910, 870412611, 537639195, 698917985, 386072577, 7313761, 290860953, 515772543, 959855068, 954524664, 8862308, 798400357, 842800663, 917070356, 383651130, 577331904, 148484329, 17306149, 342813917, 614770534, 659286665, 874813984, 152177045, 554106801, 839284810, 962679130, 575789993, 8131636, 783866774, 841292657, 645148612, 91068980, 88645169, 558652560, 226906559, 527308124, 17465991, 430136063, 383516320, 869818047, 802266189, 76916045, 564826273, 532061275, 892516066, 89803371, 883444819, 929065932, 8616812, 359827101, 232999039, 693727481, 735243923, 435022588, 295275264, 728668698, 898155963, 963202554, 403847556, 230791474, 877819350, 905102345, 169769499, 213247503, 340177494, 90992303, 245947109, 109174818, 958638393, 121299546, 504449620, 234662785, 553987266, 341945512, 714565280, 175678558, 773193395, 1623139, 574660747, 103582682, 276429086, 346651444, 157839180, 617795120, 148651093, 593181423, 740330698, 209079550, 923937856, 12797567, 126162468, 886995713, 968604512, 740841017, 243020815, 700443436, 807296832, 194677922, 117711649, 732063259, 710693098, 832409885, 873537819, 297527157, 181688902, 152642064, 862941280, 292622165, 351047372, 64754880, 569426378, 190922132, 294760274, 470233271, 438504247, 993548254, 471454325, 901519269, 734319218, 349263348, 478176604, 866378393, 745053775, 744953362, 844854784, 615555932, 387129023, 294130679, 969627478, 805654692, 731743662, 124238449, 461513883, 868520111, 14919334, 94511310, 29032185, 731897651, 817953686, 256890004, 971008401, 514799272, 448367624, 650827652, 985024345, 52719299, 843465238, 658303241, 636499056, 996739013, 756494292, 680835804, 697655371, 718397989, 17550748, 355927579, 956916810, 890700805, 433984990, 473044896, 275985041, 445102639, 419200798, 524492877, 891046142, 907647773, 242056973, 483590826, 665978327, 121765916, 557719973, 533354486, 925365446, 226007661, 5332999, 423016141, 420580133, 102845040, 163149943, 873510515, 862420849, 97975506, 215978997, 220043430, 983523729, 753191373, 593980938, 839919307, 296370250, 375744665, 705022664, 775580516, 196876485, 76138266, 128175397, 945919836, 125457932, 426710260, 506214449, 727157848, 978595295, 545500007, 34203901, 797893775, 541670420, 737025198, 298445709, 871107063, 532855197, 224150596, 75475204, 272399715, 168726488, 207600990, 708753406, 561245500, 86712315, 727500531, 398510647, 524484692, 465521780, 953826676, 175745332, 401610474, 14579580, 529133310, 288533963, 833672219, 955018458, 81989640, 271138425, 674572195, 671535383, 235269731, 862448664, 504036447, 51621376, 945800535, 6476043, 573152709, 865440492, 719620781, 114688104, 809545526, 751817545, 742229461, 489481270, 33792834, 632890735, 505618866, 360285116, 386805994, 892462501, 104767598, 269078066, 514657557, 514708623, 996557048, 260494303, 814901967, 616156134, 118440104, 765734358, 428810034, 209563708, 447230756, 235021263, 14216783, 553730314, 288914882, 491057744, 339368314, 864577974, 528632241, 34812240, 243993642, 338103428, 312376520, 899321460, 590466953, 297501317, 688043276, 540565541, 124608341, 839758824, 356843605, 614184891, 317991766, 596635352, 286017058, 609109896, 480042853, 574436014, 58248051, 106942818, 996905257, 121309945, 225020857, 555435680, 30747136, 928718344, 708858781, 993885791, 170740655, 960711902, 291478121, 643450211, 829084170, 215798592, 857932810, 575576701, 113119216, 560521496, 409189838, 319393816, 585412307, 425194133, 27003322, 362523744, 729733417, 646102152, 423154308, 936374439, 146326580, 385979185, 103809860, 387008936, 464588824, 213104709, 684103624, 217825204, 797301245, 405360474, 802858892, 293486672, 873656470, 133576916, 120602821, 739294818, 528498865, 415758517, 326902787, 483636190, 119510556, 141534409, 665738013, 212909891, 517042878, 203094947, 983302662, 78187401, 31258488, 63921641, 56412730, 794006325, 52219410, 634469709, 425550343, 52666923, 4534842, 299751529, 678607400, 390982702, 935633177, 355940152, 678024050, 841649185, 218284022, 22301541, 226896557, 421813960, 420616579, 865697516, 56065528, 19821122, 508167721, 756024829, 546901121, 991034233, 176294376, 872175804, 482536733, 498987920, 59917598, 863370901, 511223228, 583465000, 613393262, 198814777, 487832434, 961546742, 547451709, 795944975, 829045542, 941328067, 248849396, 505256106, 138175580, 522429434, 449269580, 793883394, 113187057, 976117237, 783508721, 909115204, 470794726, 181649534, 573976775, 253646660, 781575941, 425942890, 109197689, 746517302, 789279569, 142003625, 424948020, 223550689, 645645272, 193586664, 27159457, 148296075, 275607365, 927524129, 412552829, 548980957, 935128069, 419780876, 852001130, 956430665, 48172800, 673549923, 941872796, 886985021, 609672461, 794695207, 671872035, 305772305, 234868324, 726864652, 931028418, 539788876, 867812158, 183927169, 75412063, 634636264, 924156982, 708803038, 496750268, 877334720, 477417514, 99420418, 857346448, 765923280, 804701617, 339488092, 61909880, 679469359, 126367090, 654494806, 751169726, 737175897, 166378801, 155035088, 17299194, 709331313, 308071141, 180738283, 793775583, 19684127, 19209381, 243515653, 930538119, 842710230, 17942610, 264680471, 506344209, 56980873, 210374721, 304759042, 746666873, 838257766, 839160696, 64688604, 95393123, 927580673, 550257677, 352497594, 790510488, 734295464, 854342993, 999610464, 620761083, 767742344, 235174184, 874773291, 624201581, 815080398, 188342840, 371842308, 939194113, 852928767, 652657499, 817369621, 614854964, 453203774, 551407712, 699096411, 705055547, 780781647, 321656814, 385862264, 85928873, 300692331, 678684351, 120011662, 735584336, 527690193, 790515950, 868669623, 603883528, 217466522, 855616916, 660196817, 845540867, 273499993, 254192723, 694358771, 666706615, 645763054, 286168359, 727300873, 532457391, 43003832, 170204350, 422518343, 947654308, 574167677, 645626117, 945607201, 542735900, 685320487, 366221387, 230529006, 409773422, 472875821, 709577376, 801032056, 740830868, 51538542, 469369696, 77406672, 813350152, 552968528, 673791239, 225229775, 205663862, 786688701, 176306956, 422243110, 527658493, 510568415, 682245454, 592406766, 847743954, 820578667, 830034912, 373970368, 806327924, 566529993, 516526444, 285312740, 886104424, 809905263, 623686604, 426659654, 645681381, 232945425, 68128278, 909176104, 161713788, 644253273, 588404918, 828240957, 150260697, 328749007, 476060571, 114600678, 135001089, 673140275, 365439013, 416424678, 644060071, 864787817, 613194722, 393923865, 866870978, 889793885, 861865710, 102915296, 256337588, 614063701, 767674342, 716229356, 150124209, 968811881, 564065141, 375653299, 527637992, 48686693, 150335930, 378745956, 212028729, 732050540, 862181103, 340083089, 414762063, 959842447, 833911605, 983332929, 353604631, 44366063, 687822279, 888168686, 238190510, 808831972, 563099313, 967871510, 845853609, 66208014, 36617996, 938833023, 222902138, 488301174, 692166263, 139693364, 205176816, 921771151, 930159289, 481391862, 557038577, 465332151, 482606905, 996701952, 66247429, 727031819, 311807070, 73660129, 111020327, 145266747, 240923858, 131613367, 302799568, 548838018, 876298265, 645908321, 964300742, 276266534, 621312810, 721784815, 500260074, 619281019, 683238664, 868776652, 707233888, 832531814, 280823841, 674502504, 90865619, 913683729, 842972115, 945967240, 926890243, 760838143, 655240474, 286670486, 514483584, 816190499, 666858598, 435379960, 313264412, 336667109, 373246507, 282413623, 442281779, 276295425, 267898608, 189406036, 599761947, 99047858, 804313191, 814305045, 967582946, 92553991, 965052562, 223541662, 133044252, 895188983, 43923505, 820256936, 8594043, 740168068, 492939924, 711099256, 218566894, 944813295, 424283290, 61327394, 626058633, 741515909, 712179036, 653967523, 715107228, 751981527, 3137913, 918542318, 725007031, 520858238, 69450244, 839892895, 155869144, 937976567, 39643643, 644910253, 868051409, 885568722, 393526762, 229483146, 70003895, 64860386, 887739113, 128700963, 758553273, 271566278, 816646492, 418291717, 944548856, 399782106, 831628998, 376708256, 812214926, 470034651, 31789836, 28807170, 374287928, 776560793, 764269717, 799733444, 748907506, 380034697, 895917184, 404831593, 183687816, 745952, 944191970, 509268923, 600980427, 5085298, 714547544, 382406660, 729990061, 155344396, 356028284, 149528194, 831015131, 674678123, 490489722, 430065616, 53570901, 482246653, 410184220, 334612217, 810601908, 828203049, 572410539, 527657403, 228224705, 214139651, 950886686, 314580937, 129067424, 589263987, 91603442, 775722452, 457016009, 534903576, 637161065, 719531877, 209424915, 208069716, 752095594, 903274913, 618476907, 243974664, 277212057, 76885468, 796375448, 974645489, 24556775, 285338503, 123154396, 551747290, 111568229, 46999531, 230863837, 587333606, 691557862, 481543386, 625537143, 790306826, 997033083, 954250167, 197159879, 406987481, 511246551, 794438953, 82295816, 106753047, 734799017, 664600551, 168249693, 167157596, 758413417, 519373845, 62559757, 703076654, 726147534, 654504152, 750182552, 5264990, 15922142, 917974257, 316831820, 443996663, 284087452, 844875327, 279146242, 417926613, 483629159, 383181748, 116237977, 408538347, 602146203, 961904220, 142700688, 562814588, 920263661, 718640522, 998173338, 809140976, 932469993, 572186583, 894547704, 156069635, 514345330, 772451942, 718237761, 801885816, 175146371, 61598703, 863247014, 605820245, 206981152, 68404201, 604116784, 641547639, 568741525, 536934066, 935590773, 23653388, 149106803, 548946924, 426149657, 326692408, 594743368, 695108009, 866838431, 301511561, 628519622, 805310959, 544911922, 57886393, 495120213, 812554999, 483002266, 463016315, 998417223, 666747464, 26515421, 301017550, 472342633, 333022634, 897247115, 978458544, 625752749, 950263734, 92310953, 754996106, 480528958, 27722696, 75653458, 159238529, 722627505, 609465531, 90252449, 322310944, 31642264, 131515499, 444705042, 649074604, 379237923, 132195596, 119998172, 828962578, 898593598, 273412104, 476024050, 4691744, 442569029, 849636847, 904622886, 955571047, 222935633, 168794944, 573115349, 741911696, 304202440, 936926723, 760321100, 575543903, 682718866, 400328710, 525289560, 822239178, 815183269, 817713730, 926901807, 32127581, 272993221, 298745498, 111813516, 360645676, 401403586, 644223332, 998249508, 31600255, 829507382, 816246621, 579917048, 130089293, 652837932, 920066782, 821334313, 90514469, 350411779, 400131314, 216197299, 863952707, 456280890, 560188289, 773206930, 148650077, 672029565, 585208908, 116431784, 685210989, 971178315, 240010842, 448516288, 16254123, 565203423, 110907214, 982732622, 902708667, 819433430, 230416152, 48752405, 465763617, 231065968, 500581465, 487572986, 718193419, 990965742, 953416798, 776457902, 143368707, 158913776, 466462100, 866263181, 515896352, 972975201, 684560309, 894291144, 338949867, 326373275, 123112646, 789189837, 581926181, 17732616, 851344473, 184711382, 461032758, 273594742, 571678423, 860215006, 724749278, 427702468, 82506316, 670945348, 827789646, 559117106, 401369614, 697218993, 667648338, 988268806, 947038199, 463646942, 546115687, 97510810, 99569623, 829736657, 103305674, 29229871, 550005752, 154579876, 744489439, 886664995, 386125615, 908051924, 19736711, 401271857, 604399556, 306617997, 364652507, 586968340, 781873588, 503104593, 488002539, 586410121, 768846050, 1568432, 818992504, 7660625, 224557192, 255343396, 767900074, 585557136, 306599221, 773730806, 73353819, 891720632, 50908631, 904627298, 855529184, 43126526, 968407908, 881762608, 559155108, 134192569, 280792979, 753461065, 900957975, 263234229, 44208724, 87645819, 655477151, 233967427, 407749621, 212623287, 478618156, 566917681, 792173789, 966169951, 840914823, 237786858, 926234103, 375473205, 910693978, 944084181, 45421831, 149547911, 38207073, 51686632, 614707792, 104856427, 425021309, 401633962, 94751769, 244941043, 750126923, 448097611, 623233884, 204095126, 507432378, 166202606, 122524828, 605197623, 776785850, 685650400, 331841512, 545711454, 714010478, 216636264, 984384218, 404488873, 54131301, 56062909, 306998960, 633046080, 276267690, 194603695, 472147326, 15185984, 628611355, 277440106, 590285907, 875651847, 974237284, 719676543, 174143026, 518017108, 726801932, 944456157, 989133564, 798939736, 769985371, 82041569, 441256904, 210350810, 521474088, 734098578, 435775015, 689526258, 736890258, 565145607, 49857634, 267134755, 717545579, 739822624, 281879211, 530606124, 730607789, 168727429, 97834024, 337856638, 363074111, 861213638, 904341948, 261635739, 932107255, 30452938, 48409254, 297354743, 162103906, 454598914, 34186374, 408835788, 705307603, 337552519, 321641288, 241277747, 369379670, 567396904, 134986305, 695314153, 404110092, 754917643, 790827746, 535059301, 889740079, 589446825, 90604502, 556159162, 668176069, 896513407, 391987402, 238172319, 435834827, 43391744, 973969804, 48416097, 358944138, 509782945, 139625456, 559444596, 883900479, 834792492, 682790324, 802552884, 829648362, 352517731, 788207221, 899858942, 134819556, 621650791, 412441163, 915063643, 887548612, 411437797, 120317155, 796662395, 425994519, 936900104, 227353806, 720744740, 17266916, 169285698, 752787598, 848679353, 112364338, 401141318, 733764168, 55858987, 103004765, 39944461, 54906123, 205273841, 973602612, 942819055, 61825655, 93301826, 485952105, 164406926, 845223727, 679506763, 391680125, 554553421, 571657240, 73595615, 122757790, 354157299, 150688560, 276376243, 523638912, 810520648, 476866392, 904314344, 38053179, 210873598, 603618974, 438570548, 142469442, 290568677, 893005246, 49567424, 617727696, 521610602, 618011574, 638420441, 341063479, 96294263, 796185533, 709721583, 798283654, 312405541, 138995958, 709272470, 798006148, 987699783, 325398884, 511675272, 590142503, 774432085, 10148820, 406562717, 183971506, 874279690, 19464947, 948277442, 568139416, 943667805, 574992148, 991268467, 236753669, 637636823, 43640085, 583717194, 972092724, 295279743, 61260554, 763512092, 581909167, 163217939, 148941335, 126166204, 150916561, 381711653, 538618169, 546746730, 952017771, 513459929, 431201762, 89528089, 8548438, 559853679, 94887378, 927744167, 71653291, 740173671, 32063491, 312321850, 57973410, 991679818, 839392567, 898612627, 834553983, 436369257, 644991453, 832386995, 938693234, 699894228, 14206193, 658850009, 432583042, 325336156, 2017106, 366384796, 260300826, 60919533, 993052492, 794683065, 918075298, 205580301, 951019619, 975593477, 265482399, 969456666, 57956716, 792598880, 563455480, 436192097, 690520685, 582618554, 260757957, 134367008, 955407464, 812663967, 783729153, 580231398, 81835895, 430821380, 943755880, 741126943, 374756490, 398723405, 453215474, 248946356, 45483650, 43835542, 870458881, 713282757, 235785518, 531230255, 661933192, 252727748, 70146922, 118156690, 987210600, 141993235, 601468995, 889008403, 636986991, 298595624, 419355583, 178200335, 674820236, 160936623, 884847754, 935220425, 501174492, 659575282, 756210355, 149812858, 595788790, 874684823, 47211140, 320735117, 793610159, 675011797, 394652841, 44857752, 722438102, 986969957, 103850695, 301225586, 654151211, 234011728, 259958319, 295080655, 136706538, 452785692, 481021383, 115520790, 365727621, 997088003, 45071623, 841714903, 787060319, 364843656, 195461527, 827127026, 459147883, 651183239, 118368451, 246920127, 317715813, 874385144, 544755707, 305642648, 505495417, 840161332, 698450842, 361262978, 121252920, 338092984, 633814892, 901076050, 74831546, 335399023, 74856230, 12453937, 904123315, 644357029, 186796279, 456160770, 243611970, 657494820, 400279817, 482387450, 975726499, 429259375, 832238962, 612281269, 598269967, 296854634, 644151908, 763334758, 569677954, 592901958, 608758975, 51813314, 873120703, 907643013, 603557405, 731284175, 314622742, 609236123, 608679428, 319463638, 175281955, 596859643, 644970081, 444844174, 316948019, 820327300, 843869552, 567108503, 776242629, 450280760, 949250668, 670853958, 582014473, 831968209, 190593455, 974535914, 647543843, 671463718, 532563503, 431820998, 146460320, 206291638, 515928881, 862361568, 896724018, 982747716, 938051336, 403604782, 256805610, 104749047, 538276656, 911456011, 975368893, 401643676, 569543605, 967727735, 545979119, 455271450, 85200834, 33816116, 290436955, 213806573, 821784743, 437644754, 394187563, 108117940, 63496517, 512403146, 80411999, 505262537, 622606409, 217765854, 766050030, 285790230, 959204863, 187333399, 753169501, 141271239, 389520933, 462335941, 980801386, 180291396, 655802756, 947183562, 94889144, 274831586, 131095571, 109003229, 813827549, 721217896, 161108571, 314621071, 492343666, 876114107, 73636738, 589095043, 924972392, 197631930, 899162227, 282358044, 929309417, 254890528, 245900069, 656489844, 665046564, 217247169, 359675751, 177277125, 450598091, 983506699, 330382298, 913886350, 493957722, 45481941, 384019839, 882682410, 502017352, 462995930, 957857740, 852788741, 418426246, 608130514, 273922584, 356220908, 813611614, 214487950, 741091149, 869773729, 893380408, 46781772, 559460274, 395363551, 197874410, 101478046, 389423897, 343649548, 944120608, 315190705, 786339034, 439198290, 589460741, 789166110, 313079000, 673711264, 747451599, 914912580, 541357844, 991159504, 615465879, 275506511, 448689159, 978279083, 835259544, 543999257, 24687318, 908666056, 279332005, 729723883, 516302641, 605964459, 705159115, 663261779, 384831929, 434184409, 531735619, 785367151, 557881968, 357603987, 891126518, 598032362, 31055738, 97820923, 924133545, 815336238, 561488901, 56097497, 122139263, 749523833, 59884775, 341755541, 866095435, 315464137, 77598137, 174502776, 189203630, 602987773, 205920893, 17429446, 179025913, 502496808, 153120931, 752291006, 447186540, 487138560, 948921569, 291680212, 253600639, 90395214, 289067518, 451101410, 547791463, 421063291, 969595279, 306175125, 406763569, 864735434, 982483727, 599590376, 217680334, 901167557, 585216014, 786244347, 160480052, 422615502, 99387364, 762112403, 374864743, 848003242, 77602407, 178270711, 396222631, 971761615, 177748879, 348161389, 802983027, 11913253, 493651836, 868344718, 90877235, 129660921, 627492804, 73371451, 983441681, 298122262, 8152844, 979818347, 307882985, 895089115, 771679146, 808414486, 407457050, 503285195, 614840972, 342929459, 549965672, 344996240, 87238266, 35458675, 714809930, 605169889, 682626401, 776540511, 551156960, 691351312, 962295238, 626221321, 863972724, 29278597, 468457304, 749753627, 147711730, 509893903, 94810845, 211621586, 721567103, 901058636, 654172457, 401715456, 545843713, 317460982, 192680383, 791897081, 564178132, 790014838, 100757419, 680995064, 812719090, 961552685, 613357458, 64763884, 576092755, 358580603, 470939552, 675202461, 451306154, 999876339, 119171633, 533613119, 987008322, 449507825, 740047442, 181868530, 869945832, 369019657, 920946484, 635280211, 804018697, 500679846, 745537736, 425306021, 152897328, 202841691, 366797627, 825436644, 687363010, 734577782, 444621678, 776494496, 16083514, 745337355, 188924033, 348598556, 827908871, 115309849, 710269220, 297687841, 924756512, 823131383, 249303202, 734208123, 444912918, 59554789, 84223398, 688585079, 62200453, 842083359, 980049132, 290993973, 245471651, 753578616, 172063049, 987348048, 489423523, 368975402, 159457570, 687922523, 675862684, 288947500, 358855219, 71303348, 810512326, 197915930, 953536947, 36401469, 199196430, 967892885, 963818708, 405115570, 407802255, 399521244, 921808441, 728531559, 394930638, 721154429, 93797015, 39687564, 136828780, 316138329, 663225070, 391522423, 319873735, 692864702, 997173652, 232296279, 259435829, 98585663, 646637451, 139095057, 868684859, 964603089, 608595472, 459641968, 130988088, 246045199, 644587559, 456320423, 924917484, 881886535, 43361075, 150343412, 686888672, 232192739, 265414421, 250488334, 783410977, 978691742, 288922073, 503694916, 229737611, 479789616, 70285402, 936475020, 774343921, 17274824, 226108933, 788431057, 397799784, 192540886, 105930664, 731417747, 254553082, 720291425, 596464526, 511360628, 553006632, 297268702, 886853745, 941920279, 380472650, 504978217, 58298503, 355176448, 923418073, 387687218, 676698940, 157599566, 365999746, 437213782, 496873955, 401710291, 233551650, 16975153, 523933492, 749021060, 784273253, 519291477, 343687585, 93830913, 776999815, 659438029, 947046894, 578309902, 111728011, 667415000, 357582665, 558883773, 830776375, 333849278, 721722182, 703540756, 898570374, 617124387, 310787083, 774334607, 772413005, 794459560, 595783345, 895633763, 34416355, 409114322, 915035757, 316654196, 772560011, 949583102, 974102427, 395781286, 990743938, 147323388, 400043070, 349311507, 921454242, 474764869, 437229296, 304901550, 693151514, 326086363, 253675125, 244932862, 842929624, 13282319, 475239205, 90848049, 373719392, 560711086, 183781342, 271831595, 409396200, 389511672, 462623986, 726496289, 709349406, 958355389, 74189009, 845300554, 58675752, 352831574, 864587334, 115366442, 609513971, 934845243, 35643750, 885915528, 911273591, 816954089, 437247942, 930241408, 170933878, 20604308, 650123995, 709383080, 482773516, 283646983, 373432115, 904676107, 444534127, 531094891, 43995747, 157281359, 169239209, 604056518, 278049886, 132660973, 439015261, 287551777, 54818071, 415686787, 218330469, 377529158, 839957254, 862102121, 151043944, 674950136, 483167665, 849126797, 241481054, 922737226, 784746057, 614746993, 396043846, 834335070, 604554326, 730756514, 385495111, 674377389, 956379977, 618305763, 337785935, 715440644, 476972793, 802308420, 428149247, 887740980, 368144840, 85353542, 249523063, 276382215, 976332091, 98153276, 494916727, 946366131, 344065388, 72009121, 929805104, 80873833, 320602429, 919267454, 470275413, 140854826, 822495941, 817491610, 666985383, 284740209, 18716842, 209938324, 696184993, 236965932, 578667392, 506509357, 785204807, 846699167, 767665314, 394963136, 334413827, 368171370, 482615567, 737658627, 117552309, 76450895, 445157856, 340498158, 65574130, 448058823, 315729914, 979556668, 14630130, 904904952, 44172352, 458335033, 504051238, 854000915, 662700933, 281384055, 506081984, 503903839, 145261992, 151445689, 927469417, 528118494, 88281267, 894116944, 115807196, 124927351, 729722350, 277392278, 98191301, 327349936, 142566864, 254881259, 874156992, 403161705, 989767753, 552612175, 40427362, 527620265, 89550006, 538429069, 247953851, 183931256, 510305736, 958715645, 27694868, 869051946, 312870119, 856399506, 400740567, 890945059, 733473860, 603796796, 808286810, 969246206, 868976883, 912387714, 519024913, 539864705, 412882258, 889747215, 272563010, 198088245, 308093706, 680768634, 772158495, 978812588, 280637011, 282555321, 869870544, 318271157, 856221828, 216451469, 595255797, 376782223, 684968008, 759816298, 144167171, 574205142, 929047629, 355330925, 302416213, 469724939, 947829143, 276146311, 763306375, 460726273, 737494178, 638825071, 785539555, 710083490, 882370261, 346455611, 471854852, 335361979, 136826708, 435103126, 844328474, 868180702, 220022580, 257223934, 677936320, 14671391, 813270396, 15710393, 919057131, 752304937, 822014627, 407790228, 760568240, 185970632, 760380959, 949184336, 268453583, 642531661, 968139014, 169211546, 611416364, 354863554, 210214008, 701285014, 617848206, 287025237, 5318640, 124590067, 766913767, 331985859, 780854872, 627796985, 898425314, 186695148, 865405493, 751346933, 762588586, 904982268, 51115700, 192568706, 29132853, 715023727, 28570065, 81358613, 343701056, 898252970, 576704912, 741378426, 203033417, 671063232, 785526687, 888065902, 321377600, 627763203, 981446803, 96120970, 479938043, 987141460, 943224019, 512366250, 852714074, 379899980, 107071413, 530507645, 55300908, 597823255, 892858167, 297502490, 550517556, 984755957, 981917255, 138022217, 337271484, 949808621, 24650377, 387718345, 469310635, 305953421, 188264951, 968642843, 132467493, 418745577, 889150904, 84258153, 95161213, 443494753, 595902024, 891001573, 517428278, 831384917, 91626797, 253675083, 963101964, 780726771, 800360336, 178014068, 709308416, 949425695, 640714251, 207550165, 707897245, 974917586, 594823928, 905138312, 837108710, 683557234, 652273201, 367851126, 316971601, 303069439, 432162576, 199290590, 619667187, 726805345, 679128959, 912269828, 96268891, 746215224, 516526659, 175743768, 875196862, 690086086, 252201484, 566388019, 782882236, 137075038, 321711624, 512419296, 650204411, 307762804, 965121313, 438651448, 336839422, 185351177, 960778884, 340651733, 835682389, 928222948, 429260244, 78806605, 537362978, 554855102, 781171816, 419601749, 491924074, 297878948, 914319951, 76966368, 461638852, 442909041, 234435927, 415528462, 893342427, 453624218, 105704223, 762344355, 845418225, 270554669, 232123815, 51115109, 718049547, 67851399, 616049285, 784732421, 927185976, 9577156, 474627485, 326528843, 231403147, 774274924, 382524038, 308271310, 33445745, 139727837, 248085934, 77457391, 322849257, 976383339, 813849395, 899322820, 874679746, 110835574, 344643414, 358754932, 371434302, 821388655, 260605552, 442620237, 951610963, 450332860, 176779883, 111867346, 892903248, 498764257, 694953669, 792857581, 628229355, 562994707, 66497461, 106298323, 278122870, 572593785, 436870733, 572721622, 668881828, 180107548, 766075694, 385441364, 112918300, 423982389, 447523912, 96187471, 616701601, 514933772, 9400477, 924143705, 295995027, 469623814, 121473651, 76135021, 176985357, 723696159, 315783421, 337462972, 699565982, 96321467, 230026055, 608942560, 454013562, 37328281, 6226158, 543175927, 547927152, 669055477, 732078064, 327975341, 242118642, 379383347, 115307271, 62547668, 386037581, 847848534, 368133106, 301811262, 815159943, 650874510, 6610665, 932848416, 410932843, 207289493, 793566364, 886005647, 811797370, 989840316, 440796671, 382278245, 660790301, 149691151, 262630483, 983936200, 10160859, 818574610, 636152082, 599839463, 253176246, 473472964, 658581596, 330045502, 392216654, 722130960, 220274359, 371833359, 132544099, 984208176, 798416404, 198180975, 965268905, 661821990, 295530165, 673940949, 577071104, 591967766, 928931597, 367242190, 637987145, 772524160, 251621324, 934126591, 403672712, 25954882, 76598895, 875234480, 10365108, 709232600, 327839019, 656747799, 688629858, 740532162, 584034555, 985067624, 268909441, 301879935, 140291245, 480677240, 196547519, 436136950, 644334751, 556210480, 905776854, 812831078, 262066944, 143805656, 670802242, 694411898, 923983490, 51135633, 750844230, 216591495, 183212770, 603734896, 535985853, 48308319, 440033330, 809099784, 857589810, 981197910, 207525349, 829985644, 146687324, 626187141, 577517817, 972689526, 640729464, 130861076, 999302083, 514062771, 190821441, 212862011, 246813141, 369451481, 914550944, 47567079, 821062161, 166021817, 970546084, 812627705, 279084238, 676490359, 947722702, 351408433, 361154436, 937109077, 91923324, 166334042, 889787831, 253730049, 989911782, 928913374, 940956891, 685223932, 61699272, 797638545, 333640474, 432637638, 787687668, 553225501, 880890464, 885696854, 397606740, 829426099, 819792404, 531716641, 483221066, 865402521, 911765533, 449904398, 847733500, 138465491, 85569405, 28288348, 285394937, 170342054, 895089897, 939936556, 120732502, 440061965, 421660926, 456095193, 15897264, 470313662, 185697389, 574287421, 461787190, 860090592, 686290821, 303183329, 891117920, 944586299, 438954930, 503368482, 82563807, 130517307, 846457859, 880407011, 822314222, 302055157, 159486794, 695093537, 145461483, 481075175, 801479217, 834691539, 20538128, 193200153, 678420992, 295503949, 138039823, 196614693, 555531364, 250330811, 811372081, 760591746, 303014091, 500619917, 311709537, 278891613, 601935342, 963263444, 900190846, 771612218, 822436847, 647037262, 587952537, 696933423, 968346167, 259615459, 983735163, 936253262, 545826338, 697939069, 831467829, 244571288, 714137746, 568661112, 940668198, 944679119, 923366414, 468992775, 603841188, 23988697, 358820016, 395550064, 69504218, 87171965, 721760467, 751764017, 648693369, 432636867, 943043743, 600405146, 706927965, 67381461, 487260800, 381405647, 760188543, 293613717, 846662087, 85055359, 159800756, 997510607, 910355503, 185908729, 775202980, 992227391, 609527152, 496299628, 584513719, 507829193, 338835407, 888227410, 654941591, 808315709, 944770255, 861394266, 979652018, 816533438, 781289530, 644939830, 681921615, 249490102, 78477911, 679545200, 559417025, 840463968, 488779434, 923382244, 619971862, 555872294, 54032763, 196126575, 700415450, 694612797, 21377429, 389852150, 581927608, 366910142, 995476030, 220549731, 603850177, 555291635, 828132043, 434126545, 259773337, 336451282, 75973494, 829458445, 725794027, 871439186, 905841179, 975078434, 547054908, 944789768, 705411467, 986497922, 802074382, 876881151, 335581922, 348663554, 861956468, 152419514, 143997610, 745448980, 104532376, 157461435, 834253089, 611899538, 794195452, 464804029, 443749517, 34193413, 489623521, 230260220, 159092739, 291906959, 430301064, 957817843, 960741374, 767218762, 512759558, 539041532, 383892026, 542183075, 96505862, 614081703, 142566740, 562194765, 113784384, 12529021, 607132482, 15151804, 964577886, 886198175, 389771128, 586455776, 989436403, 352964607, 177131479, 521161974, 874807813, 139466017, 83627168, 819880164, 869055942, 282924254, 204313095, 945273561, 359126467, 597693132, 925975971, 686693026, 538571049, 46412789, 864626821, 548864691, 667003151, 293927924, 148604970, 772885730, 563538268, 550496729, 415766291, 987145060, 897006840, 323346684, 395995531, 517987997, 303300453, 790154721, 909626644, 540196536, 100810964, 925326678, 506377382, 610316070, 985987989, 607131854, 931495812, 570215717, 458244077, 994460092, 271883382, 730940026, 944244720, 482331242, 371730676, 887369551, 927279438, 249736161, 584237821, 448804101, 993074467, 150406190, 932722509, 969701251, 657216141, 188361118, 75540944, 932319092, 461985603, 953238763, 299938175, 747565366, 781736600, 326127811, 493624139, 992531689, 742789451, 382192287, 966395750, 389082114, 750089157, 156525144, 299222615, 42879007, 290637483, 231691017, 586334906, 897987801, 681812492, 720030171, 891086281, 183470388, 264226255, 85234670, 639142651, 989692943, 511944157, 534325709, 125728565, 638052388, 234604890, 810104329, 786068194, 678424485, 207548671, 317508662, 112290165, 640278950, 382789498, 316893425, 861480667, 579393553, 423945170, 573192301, 232019063, 134873293, 577950646, 559426174, 712291603, 805205627, 968348071, 196249838, 11273598, 900890342, 852607553, 2092480, 511080642, 177240960, 41991025, 282019292, 702635969, 156040542, 479734814, 828870412, 278764113, 327364761, 206616556, 656772247, 548974322, 315074308, 540039087, 35209794, 33385118, 377659826, 324094692, 936911919, 562528769, 699014555, 310802219, 909291484, 692358284, 29976384, 445452689, 509044045, 620488420, 891110788, 815666156, 475347377, 893716856, 404254587, 204196159, 281162520, 236110427, 261210854, 166025111, 665028857, 858260367, 890803065, 541040632, 450196625, 318551951, 118420016, 295310347, 177489350, 327999170, 989086722, 406245948, 782584111, 187896846, 235470538, 478932399, 858380152, 65838457, 761915555, 454489758, 741023771, 401844800, 444908818, 748349166, 591227847, 954570155, 618853600, 724592979, 799570103, 841809436, 255002747, 222938470, 429579245, 655928815, 262239002, 597595484, 239416391, 228709147, 736776686, 892520131, 145269129, 889161014, 679683110, 934710844, 479917953, 389543161, 629265212, 28883113, 191025099, 543313312, 185575710, 444350106, 55229428, 267468801, 768868101, 980227238, 873235713, 723785255, 778035336, 78274878, 65447628, 347440985, 70670310, 245695741, 421176432, 649648427, 452988508, 987329629, 181368479, 649612571, 864339977, 8286834, 697277444, 27550235, 884508029, 626700206, 132808698, 668176243, 787300225, 54307772, 130167509, 298539950, 57011203, 445804423, 836948877, 699275234, 985715863, 879774960, 484377972, 687853990, 554657569, 643786802, 551904098, 785717044, 912231894, 640923634, 617072265, 277974177, 470978826, 585705441, 980293258, 111951931, 637579820, 668727514, 262455814, 580261118, 387068369, 128241831, 184198682, 78218521, 931004966, 420962546, 843515939, 317665992, 613204656, 307289048, 840385811, 193262438, 61324030, 372605339, 298049913, 198586775, 73066831, 86584475, 770145539, 109594817, 768928559, 647747021, 731904339, 382809585, 552383279, 674200106, 254398644, 200568701, 717108682, 210484212, 17324687, 255153733, 245606011, 817820092, 647664186, 443138215, 358615268, 280346724, 978355719, 41966747, 307605659, 809043273, 892483853, 47957799, 642788996, 95780706, 350936185, 968613140, 246099476, 61121081, 23470314, 597565214, 134959753, 445583888, 973575203, 259914712, 415871824, 190481887, 660058837, 611189687, 430885489, 137973310, 209146025, 895140823, 748549999, 133294602, 78988699, 925188432, 497345012, 72718333, 692861073, 73109324, 136435164, 272642619, 384798509, 627649165, 542287902, 794898764, 801226296, 667248942, 988745423, 830405924, 963908103, 67103009, 866546522, 464302623, 509069996, 976843215, 230452633, 718696203, 785857939, 259028654, 579477709, 732080055, 136335386, 709251730, 548389016, 209676699, 738496698, 767542447, 963827992, 356509277, 704159518, 910092100, 150657723, 50741583, 354343274, 238880448, 567698747, 716515387, 571372127, 231365434, 525971805, 91906832, 3594602, 33615066, 911385668, 972698466, 343225181, 553396326, 960406354, 359951737, 512229221, 592189505, 651087507, 799071390, 795479601, 351663978, 148635677, 926003189, 460364463, 182635544, 717103329, 839250927, 803427691, 947428484, 891134371, 595004107, 913962930, 612001139, 205250125, 629994181, 853432742, 833022171, 164511390, 699876546, 83274973, 95604156, 279146206, 48659543, 304966079, 273488873, 797654205, 392699493, 662206963, 74708350, 529544416, 730013989, 762022558, 853654917, 27245213, 320656874, 989611388, 552683453, 659599435, 950395368, 229697563, 570133185, 77415048, 135365194, 200063614, 184318016, 550197555, 124487641, 716938895, 831195577, 801034811, 775738536, 138254562, 468684293, 389788379, 317159797, 383507328, 559410039, 669310546, 692847564, 779721311, 826646435, 723374252, 836718883, 172633754, 685273946, 267577752, 824804561, 206438216, 956915911, 679017582, 626167694, 234280253, 845846980, 150377798, 946256952, 808167382, 95612590, 245633876, 627871141, 282591039, 300677254, 989254351, 403796095, 956479534, 620304679, 962294757, 976716696, 382037163, 383446885, 995527043, 658189853, 174337925, 586664182, 286938684, 238077493, 1128307, 301633106, 594866783, 243288409, 954873759, 83821218, 693162893, 753185799, 110027549, 452326758, 522028900, 233693856, 201564575, 241882300, 30710011, 987888151, 162039324, 292757802, 522041856, 886829877, 709704384, 735727774, 715413099, 87066061, 157583319, 697044486, 876387139, 709426017, 362203080, 522771670, 449039494, 599193577, 889418432, 122319170, 634091149, 487625888, 527577829, 533203620, 426243366, 419135114, 783066495, 428601772, 335418352, 90149537, 11031146, 128225836, 117073344, 786496485, 627070974, 953891074, 37510795, 619903423, 73631200, 240318414, 482330508, 482165088, 290185580, 146095876, 18670628, 286150061, 538055448, 377362910, 738774635, 491972670, 185313693, 146399327, 463044504, 863117849, 329026786, 664867878, 685832689, 228738536, 291584996, 58373247, 174984021, 646644752, 170069709, 363896840, 906220289, 549471596, 47913704, 223405988, 303274584, 478316723, 159823190, 69410919, 240396522, 847932345, 852222255, 842326651, 474709214, 525539321, 603590103, 916341304, 601671201, 731087050, 115636628, 345631330, 328408428, 221367692, 364468949, 207696819, 334508108, 626958220, 167873023, 965848071, 937686607, 158728445, 840229221, 998742019, 775463311, 765322689, 844323707, 743642336, 334193743, 523263675, 60795740, 659698335, 206519976, 868983671, 994982622, 389994576, 331596265, 261328850, 491014006, 720531436, 688811440, 931672213, 455093993, 231715702, 289113247, 471270993, 178480600, 976884947, 232690582, 626720319, 991015645, 987596899, 209741862, 717897922, 599522881, 241410652, 813053529, 638842442, 483065153, 785688159, 217469483, 660592843, 253538978, 247799960, 397484047, 118955338, 89509069, 679792859, 993161196, 705612378, 333786067, 646931039, 337155301, 721224774, 490087558, 651501, 961233097, 924088050, 315885639, 42108183, 970314385, 114021175, 944274724, 107834385, 977833912, 930307576, 513141792, 458452002, 84545576, 603023254, 790567496, 535495113, 482673637, 952124154, 225268086, 760853587, 90731450, 332582604, 942559062, 930137847, 458625060, 301921063, 441543456, 259150286, 512220117, 11845456, 626039040, 732192741, 830868730, 678264807, 209181403, 962606415, 154830778, 283382922, 885993852, 798773008, 120151715, 217783974, 232610471, 937006066, 702743193, 444441761, 130310874, 810675237, 431852514, 366908409, 409177174, 639236574, 304650325, 246817502, 46327543, 14644535, 945926370, 750376370, 865330364, 190954518, 179507800, 934427703, 331454190, 981072265, 181460726, 977366428, 352419527, 138510014, 161772273, 589657898, 553010396, 324167031, 970301578, 717977855, 684076619, 876116007, 727796822, 833456814, 65312880, 242977977, 532634994, 9477022, 489298688, 192060412, 555687952, 462420809, 232521611, 798590253, 508650954, 331458908, 466554699, 543131577, 318712368, 726732658, 131051438, 91759003, 214048666, 554974843, 368742350, 45970065, 131018213, 496957436, 37747138, 30221812, 282842211, 100950340, 61773625, 911393116, 11107252, 471398835, 407818318, 187285431, 561714709, 458538337, 28323369, 560514097, 448493139, 448569341, 124989671, 617164589, 309237291, 17962098, 513936494, 271430107, 226219306, 382900537, 114124839, 356573247, 461879186, 788607678, 594345, 996006626, 389403417, 216053564, 861370623, 26130081, 733436704, 86032314, 80826352, 765188105, 917070145, 421878481, 660854217, 377021137, 529869069, 562793779, 796514386, 732698378, 183626306, 619438472, 957669601, 975280602, 229478131, 576037035, 457838935, 202246603, 457853510, 287831885, 66524419, 418873459, 484263300, 487092045, 883332572, 280013565, 539412224, 682459499, 630520705, 116604355, 292772434, 101682370, 642434787, 440454927, 384772311, 488273760, 979486450, 728072219, 168640950, 264485091, 591909416, 511576048, 33458089, 580588724, 183715259, 322658420, 952715429, 548677654, 51025091, 766141356, 860743050, 337149838, 305550020, 121017817, 793435641, 786430604, 907616539, 899200508, 522136004, 851666335, 441098977, 574992432, 357038122, 207887139, 750881487, 223274962, 43194540, 881059582, 981473596, 500973007, 302561920, 620768474, 425314151, 227568780, 625251324, 905976266, 800119508, 351217418, 985378387, 652749762, 431268606, 200408952, 801112549, 213048144, 709643566, 733420072, 94473137, 876066258, 825663372, 558484231, 725152204, 301715101, 290260179, 10142952, 295476243, 725972353, 344252157, 413840560, 586945060, 943768233, 404480097, 271531321, 299743521, 747669487, 623483125, 937288591, 296292587, 151639943, 40178234, 310402849, 732928233, 644639446, 678980357, 264201457, 357452761, 56591632, 223130917, 909512235, 519155852, 184875884, 187011448, 758478613, 831025656, 799225721, 657072571, 56207609, 501306361, 54415289, 838860323, 660017997, 794543846, 139731383, 440415215, 931596203, 728052447, 377807727, 174183005, 295915771, 488893916, 843282439, 528385792, 353712634, 707382768, 88750845, 751247076, 204240686, 805779579, 900164724, 225283834, 233925202, 298032640, 443227858, 578035899, 690408302, 522430129, 109281438, 203029005, 83458298, 732660580, 881905479, 660910260, 995939664, 1533222, 347827400, 77679339, 95459853, 344470314, 549103187, 863403428, 596994802, 585046838, 795057146, 527324586, 592355627, 300672287, 250565546, 165933665, 827483406, 27867909, 100042483, 790330979, 368616054, 515920351, 569178545, 430373230, 489689537, 308367723, 260724209, 898368077, 848505717, 72300348, 194929321, 12459285, 11366716, 586233983, 755049469, 510016615, 589409520, 809161962, 177624440, 477810503, 689680582, 30896378, 881313617, 367978309, 697815512, 92499016, 705196058, 457773955, 235327608, 639977947, 771066287, 293900663, 489235567, 819782450, 185919305, 9946597, 235738961, 947137340, 314629171, 434668878, 732149352, 642012655, 805225147, 954387127, 922306309, 208114506, 557966881, 152843300, 986866282, 653321515, 161919311, 954682917, 708102132, 576288081, 570165759, 368660853, 794932687, 440768033, 148970103, 766945059, 567138732, 521902510, 435505053, 79703989, 281358882, 144834454, 24352959, 795951346, 905611558, 324267718, 190653265, 529300049, 166411526, 337024187, 329374670, 8120402, 242414094, 687147658, 626063976, 881987027, 288948573, 871535172, 245903786, 517075076, 155676150, 662740234, 139969102, 837424460, 304227836, 474502811, 87441389, 665883954, 98524551, 504474714, 456237690, 928246409, 796820784, 17073783, 167229234, 556603187, 64165224, 697560588, 98506856, 932753721, 278792156, 530487587, 372889949, 646815170, 116200624, 527597065, 618896251, 574178641, 712613491, 485475459, 66652020, 52274175, 595353864, 840433623, 937214941, 395407587, 979984651, 42416671, 894764438, 253590402, 140935146, 197131948, 688381316, 401549320, 517796652, 512189684, 25330689, 821466819, 242834083, 729982696, 761434392, 193534767, 172154121, 721973207, 324913058, 510423583, 660869409, 428975321, 750372185, 405393955, 376408884, 975740054, 127578414, 433855257, 598791180, 218602954, 139794380, 734796373, 251035835, 412585951, 788985407, 833901641, 782802766, 665936799, 619951324, 71516015, 873386855, 756183225, 238099075, 745234696, 185756180, 983407354, 714057624, 967317916, 312756143, 163424660, 913703168, 127552451, 451347486, 731983812, 356658019, 876649290, 885122672, 887709022, 961003625, 114957649, 710185673, 979820182, 768086067, 325526595, 895703770, 368878374, 214045945, 771838741, 617164218, 672098605, 736155093, 400591986, 765963466, 394736496, 214666494, 713493381, 232808884, 269359, 419190045, 492516852, 749602246, 901508342, 74472179, 376835101, 427674435, 420811947, 689776040, 863915821, 343324989, 469052665, 339251354, 523108184, 420760852, 566547066, 415610175, 163981049, 950901097, 855420234, 365562586, 182333846, 630963161, 149042767, 800531937, 154618439, 403533256, 631242047, 76082585, 743308886, 895507065, 652818324, 361525400, 998002156, 815273059, 887577843, 468416455, 762067028, 102652597, 653633785, 36591287, 573505953, 587180279, 449403522, 300518673, 31680347, 232891659, 682733813, 425569702, 854216171, 294497656, 521712515, 739293465, 530371586, 959733486, 707143793, 114238386, 186782298, 162852958, 215075198, 401321026, 70024512, 304608613, 419987956, 113264464, 393890821, 62508115, 592013828, 300361752, 368238586, 728095340, 805305157, 973028023, 959685159, 874254685, 542918352, 283377047, 397887482, 838676120, 81971065, 149629881, 256796346, 722551451, 127835090, 182297476, 950325049, 908514172, 872679431, 701382825, 370789044, 303101219, 348482562, 737675681, 756250742, 486636947, 407477501, 428116765, 538371512, 859554047, 341020706, 307486962, 886466826, 225968129, 135163463, 743725480, 891826936, 91141026, 265724544, 713262379, 711803228, 573388257, 665389254, 175485300, 852577495, 934405415, 283619255, 817495299, 178036095, 238225972, 66666436, 861397174, 714233904, 466841354, 233457883, 607839050, 589692161, 475558151, 994727038, 288615172, 838678206, 2831112, 97323642, 754841129, 85718371, 377552143, 221918048, 803305384, 156411239, 331693421, 505521423, 699011167, 164530005, 147189091, 335672103, 780150994, 636738281, 447551765, 362447663, 375908633, 723559917, 388178658, 886695479, 892743615, 784220110, 272495575, 211331903, 944288766, 919430762, 472502744, 690527923, 53909304, 212359889, 576731443, 454097321, 825034430, 332125957, 767566892, 447711386, 405668828, 317356509, 784045609, 178694991, 250813837, 645921950, 468392157, 259890654, 245763242, 669936962, 600900129, 412079808, 163085066, 889643036, 544925442, 236630065, 440977918, 331589878, 16616683, 554612145, 808047558, 589092301, 662230331, 70944396, 608232740, 715560647, 180867917, 642251075, 280419429, 841921341, 911287337, 978523113, 740751457, 521310548, 227674582, 473836769, 765806401, 681386382, 55831038, 724926991, 317945807, 511292475, 924878636, 968502091, 148934437, 620927372, 191383510, 349854444, 961501149, 447561396, 998206428, 64109690, 748032450, 221271770, 114865752, 113979975, 488911462, 673075479, 847384481, 353009995, 617253041, 313306595, 240146490, 448271606, 619811389, 608225236, 592203972, 915600649, 953106659, 527239049, 665548430, 296688189, 619513299, 260495933, 124323684, 506677759, 607182004, 245835222, 625965628, 528512673, 38739393, 394699974, 459521718, 312703614, 646780319, 794978036, 853757565, 576301953, 301413681, 762449383, 139426151, 233248356, 54962488, 274315751, 755694998, 601548780, 764822650, 452918991, 918882713, 268116256, 374283648, 981531487, 268265014, 492293563, 675866166, 119285859, 364129782, 485956201, 199400621, 920292413, 249556812, 749280524, 250117203, 955125834, 917759287, 805405387, 127842476, 813387152, 397784426, 859188483, 607409822, 894798880, 519176406, 810568589, 586737144, 48597192, 777116399, 915418575, 507336709, 554132494, 579559638, 642135143, 938384991, 492222125, 992841295, 875373168, 212383256, 86263690, 630459993, 686234698, 588498309, 887144640, 231152392, 518900017, 781727302, 697963245, 717506677, 980545022, 642302034, 348415033, 204435241, 739851812, 175473772, 426501930, 665633200, 19784536, 86799306, 519220252, 235653978, 103152350, 834215198, 598871549, 810043661, 79608387, 168577748, 44016491, 274184306, 270793362, 528976808, 897561480, 487036523, 322939413, 800704947, 740076994, 920535348, 707261814, 319133545, 969302798, 269825968, 912972139, 833488316, 818192584, 945946284, 943869149, 355525287, 671854541, 73438707, 516876101, 231851029, 396905039, 797442885, 936921577, 666301425, 356956241, 963999346, 223895655, 832374555, 165001915, 615228349, 999355943, 465170500, 660769615, 960861693, 953133003, 705625562, 914910808, 337724409, 999193699, 389535419, 330047855, 72942719, 699524753, 8238083, 630032566, 455800723, 173165159, 233182346, 494797847, 950741898, 24015500, 965058985, 352506967, 765323711, 649885412, 438941541, 628810055, 378837995, 160563904, 857865723, 446048701, 312021314, 453331054, 546552229, 108808652, 115333911, 405898713, 77581923, 564063607, 892129998, 713993922, 926427568, 692255724, 359693085, 493203680, 39192962, 539767605, 20642628, 456027431, 974451248, 3394009, 411515322, 983954584, 562392125, 672968219, 796569846, 722856513, 277902841, 100392650, 671951295, 30165245, 147105775, 508541799, 173595995, 654725233, 240202319, 523642459, 264504770, 269276039, 819822956, 585393037, 888389746, 841828863, 36962482, 659629110, 254077377, 120449830, 924539795, 732925721, 311815185, 123264733, 825440440, 53138620, 929112731, 88867294, 736089833, 722685725, 887659796, 213639842, 365190438, 52039113, 887645291, 60768736, 90013755, 293575068, 363385186, 389021038, 807681941, 629646833, 389279047, 153651663, 92492013, 867108869, 524356228, 397792030, 176870650, 813336141, 500701508, 544390223, 410727770, 481441492, 511200746, 980394948, 725305544, 523062292, 285884472, 224063541, 383530452, 841501627, 499268614, 19517295, 788188313, 74239864, 185815303, 25225607, 60583072, 961819436, 476316719, 529407477, 179360901, 174337199, 453811707, 746921698, 472828443, 248366099, 215182457, 917679912, 260398888, 484196198, 178286779, 392165264, 982674832, 646597883, 274726024, 695654657, 988573667, 61872163, 558642312, 817679408, 806988918, 655247870, 59196105, 411706242, 541875474, 996785005, 730646616, 604813597, 734298726, 905139724, 166944353, 777969408, 241692506, 114119498, 612476506, 681276230, 428332327, 984075453, 408037393, 267746677, 64531503, 990995779, 927125731, 459696851, 666212845, 447451952, 313746951, 376322177, 770271986, 603633059, 526574301, 401477203, 987376504, 920974509, 20087913, 742535216, 872645307, 175790442, 865065765, 756048637, 605221504, 310362095, 514086804, 581835095, 975148676, 500854353, 715412305, 708614247, 99654722, 266940, 482904621, 182166742, 861658082, 196628958, 824391791, 681878787, 571409969, 811983496, 273620051, 19915793, 296475080, 620847097, 457440699, 957802564, 327930746, 635852543, 168038063, 894925419, 452818433, 472228964, 184271887, 771840129, 941197106, 777321156, 941760533, 764565475, 865561748, 39617509, 51000983, 919618824, 981062326, 294005214, 816174001, 439289243, 461380181, 30016694, 525882593, 523243198, 945412251, 918757844, 646185212, 578234660, 904795300, 453655635, 390120024, 82635185, 340135591, 363107839, 837257739, 111966891, 430023492, 166446045, 187744594, 506217115, 389922205, 47706800, 921970035, 698497101, 277374644, 136795691, 810857112, 641057220, 162132998, 28524017, 403827858, 915387837, 415614807, 550557651, 844250532, 269818830, 15873343, 765430602, 436989592, 41270237, 763240957, 568727147, 385409316, 910719212, 716623259, 86726827, 369589996, 902481571, 213792647, 100681792, 933789824, 402330310, 835808749, 903859533, 409096316, 746452742, 785441759, 552158217, 589703086, 206385267, 911467551, 45043854, 998457074, 901489575, 696507471, 651425093, 169014798, 689111503, 164891841, 506291510, 138494360, 534754613, 22188041, 452390466, 166173145, 635903458, 480324945, 979655946, 802036078, 217364315, 626593430, 793763432, 815075599, 364695268, 473453515, 179191687, 427241778, 445872068, 59532848, 509128725, 399038243, 958301361, 287735274, 41382930, 453812930, 838057908, 387232891, 50713270, 393010187, 180413290, 43113414, 102149420, 861562674, 866949839, 319187780, 161379108, 876591323, 645055646, 244162553, 752379071, 222564340, 645553425, 769535566, 324097413, 789169284, 670627154, 447159346, 483649146, 227395903, 747623665, 539667022, 290592768, 258014876, 726336517, 646027059, 950849758, 520384256, 649575008, 70447522, 172672894, 289772670, 4585933, 873607768, 957453205, 731748920, 283693437, 161708153, 952340604, 654367446, 454721446, 986654506, 359104130, 701010370, 262720584, 850129295, 43272741, 386784834, 970343338, 855713120, 26482074, 427102425, 52660236, 356346107, 567416494, 845411189, 24874973, 498801892, 149451198, 928393241, 219776720, 855160793, 796756888, 938502537, 297772219, 344714023, 290038904, 591622274, 275904303, 775219238, 318668135, 723287742, 545801568, 328292310, 153340680, 800150687, 302174147, 22088036, 880804228, 14044218, 284559113, 499802170, 118915368, 599866244, 489046944, 66882094, 588790749, 899821139, 989772004, 82019433, 209059029, 450586584, 720651777, 238328097, 613411562, 145073868, 866032325, 848706923, 934204705, 623064641, 550589565, 814470275, 830308755, 22276261, 944728670, 872929336, 922996945, 836489157, 648523709, 34799265, 511285985, 109091915, 825022993, 375942777, 723028060, 736923045, 869159556, 583497354, 520647326, 947691488, 218944721, 974225458, 218111035, 290640182, 702107428, 308651330, 676077713, 266807701, 864047647, 413863130, 837730510, 643402136, 962926627, 304107140, 482084197, 424730363, 207174370, 106197371, 583450981, 909011791, 589737969, 441411451, 287177722, 47910024, 818524057, 285781511, 456846096, 32194747, 120949932, 791221771, 240958837, 118424129, 31631068, 597958117, 723655166, 934175422, 856065122, 295343388, 864015962, 376344370, 899630890, 906286798, 481503403, 378257274, 394389573, 189843087, 632098511, 619847051, 31471639, 455757177, 616764918, 686847996, 245554810, 90044307, 578898509, 878275386, 40469328, 756481548, 121849742, 627959000, 366876278, 992078090, 15997464, 721783309, 961962528, 538394850, 337592752, 825483331, 99979962, 179805254, 918203255, 590464278, 270001547, 824381350, 543886234, 489319078, 470115186, 104364152, 436807837, 155258611, 13503010, 227677752, 960853361, 579048892, 147176315, 330681488, 415481880, 358404239, 770933342, 803270394, 269180750, 185362632, 260743592, 970701062, 297274974, 747068165, 386613260, 913583765, 683224602, 604885824, 715127528, 884155284, 476826845, 777025350, 454308463, 315492237, 574966866, 810246610, 505932291, 793396848, 948251803, 318348637, 840923423, 69897854, 947018036, 559005044, 295990103, 948674468, 665807899, 381073507, 1554218, 584869824, 462266226, 858400184, 50226691, 92198801, 716134725, 375334421, 795704843, 403353055, 896742717, 588287551, 965137270, 717201164, 984327485, 498422077, 690528915, 745211201, 791448934, 152279904, 357655654, 865299716, 938255140, 650033559, 664835059, 201504501, 635225874, 189997056, 733157209, 789701848, 245798506, 103437124, 966774604, 954228284, 937325339, 691899751, 717282920, 950971053, 407073405, 248085598, 650302263, 236680728, 404331160, 668371320, 321839571, 235047939, 481949015, 170122206, 657150372, 490241441, 682019495, 158438370, 890279448, 720796624, 27259780, 193481696, 214917708, 264420375, 727031833, 657095520, 754554124, 48697326, 76863449, 192850644, 540902259, 668690448, 660607279, 141593022, 473529427, 209392791, 249097962, 3019310, 572535739, 414926579, 604155824, 128737921, 567982047, 878965982, 422108339, 987654964, 759027218, 912469002, 986486574, 577127573, 523188205, 691593952, 220175812, 738098292, 703886905, 974462252, 833141944, 32381676, 614235418, 60094797, 387863322, 965876996, 358241824, 880204293, 214735964, 574352956, 703432283, 382024624, 998291849, 65524781, 720060477, 239942004, 781470459, 902983496, 206784949, 318896066, 964499805, 238755088, 167059976, 348754321, 100274242, 240690837, 544411492, 830501230, 71639328, 785503796, 531415799, 435541113, 363357966, 808056479, 577622722, 925391982, 442847184, 565862472, 156546062, 636098198, 595739302, 31616990, 670754246, 796642305, 13397404, 96980893, 764195026, 928080639, 604856410, 414764058, 522298316, 527610955, 54113323, 973517079, 387045075, 135125237, 207164046, 21956345, 824542203, 572123185, 729982733, 594310293, 728565639, 935102057, 893126966, 843040787, 787649882, 636259842, 769706526, 500965438, 438350185, 417933775, 728701446, 648122573, 76129266, 988577165, 533885242, 631855720, 653231325, 819382011, 165887530, 287039309, 802211628, 232446386, 599254511, 660990439, 85323859, 123142199, 766466696, 707242774, 508104420, 166826430, 111252673, 978632991, 106277912, 17692303, 513834522, 271489947, 84367308, 815136282, 387637864, 411920647, 203355783, 896578754, 52571039, 140507971, 156124287, 891916845, 166000077, 829070326, 892387940, 542711984, 206671449, 71915814, 436929605, 878606705, 396365251, 342708598, 639522066, 21341416, 441023227, 783938909, 980669413, 184484809, 185669044, 746475214, 688359282, 138856747, 710214725, 332254700, 30157970, 536586961, 761808438, 941330020, 805106123, 474534012, 676058116, 286559943, 76095522, 549086192, 61510584, 737998489, 828066357, 787364358, 575262434, 122800790, 101978149, 567279140, 386733948, 727820138, 701358576, 143934296, 646263019, 12454431, 337030256, 763600131, 65954601, 202140646, 409881908, 284051251, 626842636, 122613105, 798378926, 608082102, 273390570, 640817478, 133308092, 745871495, 953840110, 985477135, 557649851, 67257281, 603400982, 791936496, 552502386, 612503686, 555523612, 837849652, 753903592, 568449827, 586453627, 776875154, 423770213, 864143151, 837492427, 722744268, 581932755, 65062830, 129654599, 759513836, 488776070, 615628724, 488313079, 607667504, 154316434, 829241801, 3392231, 902291708, 860604915, 491349908, 844759954, 351715143, 569998588, 518492493, 881515812, 357349302, 253769856, 579024766, 504857405, 515694012, 796531349, 967029191, 797653003, 335406576, 891223186, 873172428, 554099246, 310162333, 392271043, 262971767, 280281608, 318734789, 749904024, 804433356, 273913278, 80927476, 765956240, 626377985, 971823614, 170190573, 436589484, 281444764, 158172847, 887982508, 876848120, 147004822, 779220207, 124254787, 805214024, 201090656, 822327914, 860872350, 720428376, 764099609, 897956935, 281416671, 617722014, 660627958, 815178436, 318997454, 630504514, 476787069, 187028754, 343970539, 336502135, 396321139, 981530985, 159229667, 44440419, 99053645, 909080543, 280920142, 55466735, 854563808, 440297295, 510878852, 720795601, 615565530, 403869557, 468407321, 70317533, 893865008, 537352221, 758683061, 438455137, 329302708, 877842560, 428356756, 927406997, 827082479, 467358486, 166836411, 548237337, 285002563, 283175489, 195447277, 638618552, 274147200, 449016510, 581025446, 723247697, 809041728, 824542615, 412225186, 814994694, 829791417, 317033926, 87856880, 479001947, 886360676, 229344921, 855153788, 79113547, 802104377, 968716801, 151626258, 129744566, 408201318, 785984467, 503943260, 785704929, 648848701, 394201354, 681604023, 822559947, 989662760, 747316713, 229106985, 608654997, 566782575, 971261407, 676287192, 630013757, 969292856, 836643180, 735651708, 497502129, 601551188, 737667987, 520703202, 578234151, 936555076, 388668193, 582102680, 718038156, 352429557, 770648241, 783313988, 61360085, 736447983, 386493070, 403041837, 978974961, 528399966, 123213273, 586235516, 398884156, 621581027, 494093996, 166167009, 674743574, 254314824, 106190143, 515383803, 938300164, 4209049, 208334692, 524883220, 592981818, 502087991, 617231149, 684109734, 806466830, 477143107, 44371606, 700182243, 852748847, 551087239, 204465206, 897037567, 983948593, 901022360, 556178284, 740470654, 286837151, 261509877, 580736514, 385015357, 403875469, 929530461, 238669238, 984515965, 79108220, 573724580, 836931529, 352366534, 513407711, 900698142, 765120333, 93390432, 684578245, 663103540, 582006377, 469892053, 601537778, 141424392, 962795, 986151333, 504333977, 715399314, 722165357, 407045245, 970883831, 8324569, 251292570, 573937574, 297369479, 597815965, 909138350, 557885413, 373570706, 114990739, 685285343, 423174574, 972783452, 54499526, 67403682, 965595031, 972766352, 123976012, 889548238, 280645750, 428400091, 782225492, 407289007, 877161084, 800282893, 971875779, 159511246, 654890786, 300496791, 143920864, 160334441, 404107032, 228721096, 327861599, 824678303, 416794854, 468793247, 299089270, 58948106, 718321457, 439535496, 575362235, 658956772, 214779393, 321356764, 128277595, 517014739, 478649867, 164028593, 283130633, 264668999, 495499403, 265406333, 185244617, 640109586, 541964080, 102107737, 208632254, 622769333, 494824630, 361490329, 377983550, 508273231, 54518568, 882484350, 530206132, 854014421, 755849296, 67115340, 487154481, 408161320, 935323257, 614337247, 666581733, 48467536, 187657531, 760725350, 398566643, 7146981, 862334201, 247318858, 905977933, 926505063, 251734645, 781733046, 180417150, 812532530, 249892605, 264572052, 670975080, 350914986, 48110274, 781125092, 875364558, 811342413, 422431626, 278719547, 554239262, 151216417, 203411972, 501117115, 588148429, 271937720, 417721374, 642515507, 593731267, 66317909, 167637304, 392653590, 438937617, 934449956, 218410264, 560497207, 187328077, 957927334, 814297997, 210897623, 1736621, 65784617, 389020276, 80739363, 190749363, 213618867, 74507180, 838983167, 286006763, 701420066, 788042374, 233564653, 626303688, 767659783, 102157104, 575175238, 783039212, 826771243, 528025973, 796183707, 536690508, 870526778, 290775053, 72711500, 534832913, 811426858, 614973193, 153212346, 806849296, 569066799, 481470404, 973453723, 769594014, 494863706, 103797606, 546764144, 320714185, 343519312, 751131670, 673793282, 792203483, 461312105, 428652545, 906905069, 419045137, 942952407, 723905365, 732436216, 514671916, 607962476, 905707742, 385506023, 616954609, 511797227, 395393436, 845246109, 137281336, 582527239, 327383115, 144698449, 734454466, 302640917, 555853804, 928950338, 30571845, 792887811, 813082976, 464359094, 444088916, 42382745, 716467208, 822465668, 473360169, 677599386, 406104537, 406157769, 942403393, 395890256, 883398976, 329214518, 811093956, 484346013, 112427689, 253025662, 827388074, 104744403, 793966794, 86386380, 724718446, 372172864, 234153571, 208559265, 63894885, 954768878, 58844523, 864673059, 389090435, 678138465, 602904272, 268200102, 707794195, 595335640, 529858382, 72068605, 377076331, 259593171, 783348123, 308077516, 927019126, 824260369, 716173499, 767684277, 837690464, 310702594, 217029763, 443995112, 574670376, 482718544, 423892576, 718278443, 778858710, 754658302, 519088685, 640410966, 167427289, 24640306, 25396055, 441568582, 694929726, 541769953, 636961112, 785822928, 975346943, 829567802, 34575367, 352245586, 186339924, 175653493, 14771015, 618591565, 635537406, 724117020, 44130500, 284622246, 693222051, 734735526, 10707727, 831624274, 913622003, 287127629, 447394049, 538957140, 225015351, 403210480, 687725188, 227988701, 931691055, 528054326, 877312542, 343338675, 167221927, 329056752, 80671282, 589218802, 212692264, 565152158, 869591138, 429376342, 427741423, 486946529, 587436813, 441879845, 965931196, 374936548, 292200415, 521946388, 563599580, 85086446, 824607339, 733133206, 207769554, 121068678, 220982273, 819716431, 904338701, 166961063, 611032376, 705352073, 622934913, 791340340, 260483995, 787693585, 1141885, 382826863, 594729293, 597077503, 391246996, 966016791, 527623542, 815845976, 745160503, 677676842, 979957941, 482458670, 250427855, 26066562, 311853539, 142913193, 1437168, 327924165, 141804407, 901560767, 96295118, 97201883, 355215344, 241170962, 705473909, 688417915, 181768632, 734058242, 346993362, 423378831, 359295436, 62746253, 970169904, 839611581, 888687981, 524381672, 444789438, 312355128, 71386364, 445292750, 936224837, 225298350, 417946729, 382556084, 231430958, 507699243, 20177194, 86983407, 189408402, 181576173, 923900999, 390819236, 228006998, 719498010, 14854264, 374790777, 818428871, 730863724, 550633298, 535662714, 948502360, 475801421, 68412321, 942830066, 932783346, 480016279, 422515395, 47079310, 756255607, 159091155, 681799741, 332332050, 937143978, 967389007, 367629092, 648049359, 162700922, 321055878, 431934915, 634655793, 156104156, 121365093, 611057091, 700302677, 7970501, 887164879, 558922168, 715763865, 883700236, 656013012, 816655114, 770519940, 39703092, 653455782, 223307600, 346309726, 367314466, 890825165, 420817712, 372623970, 335842284, 566954185, 485756128, 552618784, 442011521, 62159854, 401894087, 261397022, 97059186, 503564230, 73918081, 959162967, 518136418, 367163691, 5151872, 293041074, 316308309, 108403751, 242536931, 904879232, 829805556, 552320838, 248257532, 473124737, 158575116, 107000174, 30777235, 193406974, 452496193, 196258454, 265589132, 410933835, 737880189, 975688243, 416716389, 987572830, 423018127, 196037969, 80484779, 651989071, 212384199, 115089402, 117437275, 46842255, 31476731, 361197388, 57072281, 693718105, 535234437, 725466115, 613456351, 588014580, 94056054, 487495648, 714499364, 550023989, 348905769, 974193035, 857748987, 793488284, 759950436, 196492441, 168751315, 29124177, 184825221, 667834565, 856368161, 607855159, 246660047, 277461574, 521003894, 891376467, 595113166, 301941845, 111112085, 61405965, 281597724, 974558977, 408019621, 468088668, 502197439, 279310647, 993253055, 665756784, 788847572, 879992124, 950425600, 345539690, 966023400, 316942471, 715070914, 591088560, 617503772, 556830379, 773995748, 787558050, 279577058, 131826995, 382821256, 601427851, 971944853, 633452488, 701461651, 438142824, 740416759, 70319907, 643663437, 149802151, 923642170, 975800469, 848854011, 977778823, 947359900, 969666151, 931222119, 82232344, 167086195, 191365846, 601927763, 82166781, 766998849, 182717297, 536148644, 264266409, 604190474, 936534431, 673671095, 728572654, 666279050, 618196195, 36390107, 400601600, 175978420, 387397013, 814283125, 239259002, 188023759, 200639368, 837038613, 904635935, 475083521, 762929324, 223257130, 146917543, 816709699, 288857328, 377527898, 918811345, 722647861, 539028034, 855355615, 279931911, 540135654, 946488765, 531906198, 466332306, 838934537, 988469880, 335297279, 449464400, 278921077, 675351171, 811151232, 528885414, 710379774, 986918920, 713459063, 98123610, 807198007, 236117898, 159753681, 605036646, 259804088, 172174940, 665595227, 104936544, 284150804, 619867428, 606215411, 5319512, 781096240, 587856773, 623108420, 79564826, 228366713, 525910061, 827203853, 653552189, 9768312, 756794031, 218171069, 167853888, 133462236, 295297030, 105201825, 5130149, 710012840, 543872285, 567746776, 234321210, 873445553, 867252354, 800359832, 129641068, 140072106, 695689235, 605588829, 243752918, 604799203, 318258411, 960675943, 232609091, 430555610, 595056434, 969985172, 963008384, 185716810, 885261382, 998828995, 841347603, 618839775, 389267491, 84957415, 645521653, 983107324, 994778722, 283239140, 392853065, 570455082, 525265864, 760049489, 741772905, 264601961, 726686951, 613524876, 145408112, 40625885, 997814464, 180337939, 728791621, 695830015, 141109775, 931308825, 385772875, 368714641, 937563632, 123544261, 446760123, 824198134, 588324798, 90060186, 828382319, 974133799, 340177401, 105123539, 26622071, 407820287, 40771786, 756632395, 911235955, 990491678, 53345035, 97502339, 67092938, 665080702, 921172153, 626201914, 195577084, 390512020, 992043794, 169386155, 149899531, 166684397, 16796170, 164466954, 119590137, 481617365, 609288569, 184388031, 628854697, 92860676, 983844939, 99680427, 686568426, 571075120, 990032557, 442417389, 251450581, 164254410, 381164129, 944068115, 145002272, 101983817, 243608349, 697568159, 412596375, 992308126, 494904352, 428526819, 845656805, 268870021, 541225861, 519160783, 5099334, 950882778, 678757245, 884626617, 708448589, 664696998, 615677040, 217265113, 872804716, 567443681, 513882041, 123323350, 578067717, 57065278, 574759808, 775492680, 187557473, 607175842, 29180218, 2455119, 18319952, 132596647, 103398867, 637481407, 605336769, 520564366, 920851443, 58903899, 880531705, 165458715, 588677045, 764846640, 297423995, 838381573, 224583871, 899659010, 268323702, 132967197, 822224955, 155696800, 565510980, 834486992, 18256804, 252649333, 43819866, 430367059, 500977729, 797867259, 940973627, 282513313, 491961969, 598882054, 13602513, 679674211, 481554363, 586945915, 496495700, 752232056, 954166397, 954298366, 55025888, 565313035, 918603932, 412570266, 22153414, 803620999, 798817269, 571500583, 38196439, 156666960, 811340418, 138134232, 370769305, 119794266, 630864467, 238318747, 558279114, 599064212, 553610059, 792871213, 747154688, 621483479, 291142516, 101862075, 415000410, 490998600, 615681028, 469291876, 241282157, 479336353, 627312947, 598677488, 618819578, 640186835, 816484044, 760066970, 491271083, 88260878, 636406709, 531369929, 496853294, 470267415, 143282696, 747704526, 180207084, 765816832, 661865365, 876685690, 446608755, 660681025, 307535566, 359219886, 831583227, 815032603, 672575391, 783653862, 655277325, 944355197, 390941478, 484381181, 946609427, 620170407, 782579233, 751725101, 983199507, 818953684, 128673169, 219526396, 549951169, 717495947, 593452942, 419247680, 726357612, 18382476, 734815070, 572905901, 139546327, 320139298, 54138237, 150915940, 395035118, 672869950, 514868732, 199267821, 615974640, 114057388, 739864921, 389417176, 644860667, 740342322, 186751832, 201880925, 287548787, 21329501, 486365551, 765273525, 669219675, 453795955, 250296480, 719679999, 952992405, 731270144, 870695960, 750098028, 186352894, 383961924, 799664893, 465944661, 411987498, 470245369, 23594191, 547566212, 743774299, 891557239, 942147372, 597576533, 357372628, 728050360, 510288758, 951440146, 410551828, 607457169, 635126707, 415989863, 790798273, 965524170, 893455338, 811907037, 316922844, 809393335, 556536212, 66661633, 643135678, 410903180, 397258366, 95945435, 408402347, 496201055, 690634400, 332769895, 686150258, 946988254, 997524376, 328236901, 691213884, 433588440, 894221098, 618683502, 549797117, 820493944, 21849067, 233983857, 971203012, 735347595, 864928653, 756487259, 144521247, 528392463, 770921151, 63286842, 649572421, 342109802, 677790049, 839286235, 411762911, 732728370, 874725433, 404540450, 334657812, 982352847, 597947922, 336347042, 244517921, 401108928, 604070846, 246533487, 576752480, 122791025, 159407012, 98018885, 149300758, 907576475, 582989493, 656486610, 729186244, 593416575, 66645207, 939899866, 694461893, 711375394, 764363426, 348523616, 423268482, 830658001, 39295969, 120548978, 374234511, 794449039, 351001313, 555062424, 28520307, 281935654, 488020862, 138889010, 193876725, 62662983, 379490308, 10947060, 663964153, 12199270, 272938260, 896325792, 918042111, 989752174, 308315644, 193830720, 611436517, 447015411, 217607258, 351124805, 289496740, 259742886, 991696562, 878104069, 911155562, 945159481, 101906088, 630001906, 84560183, 566159088, 470042817, 251625904, 362325543, 310900152, 14987631, 437814157, 15030670, 569630791, 327434574, 327550948, 26186724, 205152207, 777284131, 205007434, 294932224, 913112300, 878054253, 374228747, 253043513, 592849847, 49237040, 29306282, 433331498, 245280766, 183603567, 167252171, 567699306, 644539731, 357712723, 682672537, 798432371, 297886765, 623731830, 260225308, 431352164, 493101145, 718654901, 933886506, 191764377, 288517215, 843296759, 801745597, 790147029, 959206572, 642836159, 468362956, 372053143, 706561128, 655631550, 297371956, 354061014, 416854565, 309982049, 521087665, 345653392, 749903572, 407200424, 568669943, 849567112, 15192838, 725869046, 899758914, 793152637, 290837835, 892644475, 857762152, 453070873, 266558755, 696416538, 517386318, 50036308, 581667743, 704226191, 955470580, 374426073, 237211940, 420828485, 45175313, 125090090, 692258263, 592263696, 15200387, 27595697, 741910346, 603200540, 743988815, 729359887, 732489696, 615065305, 76817202, 651434099, 512910478, 600690492, 456588455, 627352611, 63581066, 704665403, 178897911, 144808632, 182585581, 827401883, 265170395, 347102582, 225262649, 711566667, 64342827, 172297813, 680689415, 653157974, 455027868, 225951198, 926260588, 488613261, 723122790, 413538635, 526292865, 605058272, 122444762, 499063910, 239576106, 855545608, 366999014, 52576115, 654862668, 516321679, 515768005, 946404237, 824035465, 996537835, 452167144, 316440751, 104837732, 180697653, 34266449, 918274089, 203712902, 764898797, 107257420, 427693199, 822768566, 94451989, 586892301, 433896931, 929634829, 422140343, 362538623, 465251389, 977241649, 757073661, 232342709, 302511918, 680290054, 181027720, 961740537, 557527184, 822812203, 41813544, 638055631, 870810303, 735037865, 418981743, 463511022, 320911808, 63706573, 257138435, 475416110, 809623404, 594260350, 857652934, 454694824, 858602992, 969595721, 326968804, 14988992, 432334801, 322679960, 314188775, 493701495, 1584241, 891621337, 872379884, 986673900, 429590064, 449708667, 884353210, 484647236, 767717927, 292287281, 937636319, 703385172, 333613842, 12038761, 72765034, 4629036, 212319376, 786654340, 671726618, 51605123, 13556407, 398401616, 775360784, 785762811, 133158091, 690696513, 674415586, 673707909, 497796836, 701725222, 94192824, 410125685, 786989383, 805904451, 412862013, 379374435, 63670185, 318658974, 347353204, 943204109, 913718582, 951528951, 838054244, 231290062, 952677930, 694177863, 618921755, 184658152, 25263442, 385997495, 142754720, 142552457, 274776214, 809241935, 282743041, 766959763, 481050180, 251570295, 705475545, 386722760, 230383380, 538197624, 919653811, 707976563, 231838108, 537326870, 458669111, 908015465, 263853802, 685861186, 202563917, 366309202, 586940679, 955502075, 179812569, 432980022, 79930227, 547834923, 538476664, 693116219, 643881604, 775827007, 120993376, 638437849, 42601814, 96508068, 517387810, 95291891, 941984470, 964569443, 25494283, 815959562, 787711518, 518893947, 479078916, 909037807, 323130480, 706037475, 573730142, 851003861, 660361587, 613700741, 566428083, 637235230, 479175999, 682993859, 684835656, 603223172, 316921672, 178842642, 242839228, 487153888, 685567124, 299490793, 145839658, 625221913, 204315802, 290304084, 307043469, 466356150, 215147396, 78745548, 618602723, 953110101, 562069561, 694890071, 340410824, 33636060, 854874903, 662873406, 823310730, 831822412, 321719658, 930704739, 282035251, 417560903, 569331577, 423011538, 709600013, 332351873, 391464047, 167737715, 629624495, 856206434, 826234210, 697305010, 152885062, 892427253, 29637942, 270421413, 34673425, 882372067, 804532432, 871781568, 742390034, 402880953, 289632223, 939524086, 617785294, 962688520, 960021553, 368271433, 283745154, 476425574, 462479116, 998042622, 398163969, 940256407, 82549069, 838396746, 371892746, 705420883, 268679931, 859521948, 388041221, 612300846, 595583727, 474357807, 863823299, 446828441, 183897515, 818364938, 315364050, 389213110, 434982132, 6343493, 340098552, 937729566, 675867049, 6824016, 496951707, 203628591, 839810773, 722757306, 264053774, 775718649, 555443808, 415528797, 434809260, 642234792, 692186694, 405341627, 873715142, 792290732, 495417002, 415539990, 286166750, 331191828, 608110787, 719200625, 918985067, 192485553, 965301213, 592154672, 36807349, 294124513, 552399006, 541290759, 105068730, 307884250, 589854908, 685494170, 805964384, 31875127, 169103033, 285111080, 201032005, 625515179, 48026210, 397029570, 817454832, 497217729, 752862461, 372519251, 26306954, 73147961, 316888808, 596915705, 483516859, 730906767, 861222836, 967216340, 868868788, 233422130, 833254589, 109244862, 127023207, 27757930, 303200182, 248407370, 655152703, 393733906, 691343563, 385494745, 819688892, 131913159, 142553484, 525075633, 994192992, 295379830, 124323748, 850685329, 353405161, 227421839, 191971420, 343431203, 617771573, 324501375, 981275176, 567797423, 143371399, 500238099, 846272276, 466980313, 817426716, 294469226, 103033984, 812725381, 506989377, 60851078, 55315776, 963023795, 990941898, 664863468, 441446069, 509293157, 10289983, 875757321, 750312219, 367943466, 29054920, 327609316, 633987446, 420126758, 781003698, 183600821, 227136872, 171356450, 780622788, 744747104, 946449902, 107669309, 832192553, 629929208, 458490493, 547108399, 302766754, 22066636, 146395869, 968152701, 621437442, 678991292, 715353943, 856000396, 676641361, 404219440, 303715791, 360141438, 383432141, 744456336, 881961773, 788571532, 782398489, 776643166, 472810939, 132010569, 726342873, 421677461, 84965271, 389408152, 304101699, 737683122, 634075591, 242558542, 969695879, 73878962, 447693755, 333134928, 208553345, 700106979, 101005444, 502839233, 968588110, 301214674, 86078302, 565025101, 946587577, 5004926, 242908143, 105430837, 607089096, 819096348, 438763921, 156791832, 843483562, 513102877, 736794236, 635164566, 545868062, 343711869, 962801428, 297202258, 505419493, 637859373, 206843930, 946452462, 595585659, 653011644, 37763284, 670080065, 969997130, 219168554, 204609473, 745717117, 566476591, 77148512, 473725466, 798642833, 136079116, 869909785, 230771057, 748288891, 364001209, 927460218, 996075513, 680430909, 42441610, 674549448, 397174874, 878110845, 884561876, 219080884, 75077426, 27011483, 24185976, 396510846, 879278485, 267557403, 280322417, 410844278, 870455215, 326409524, 849196762, 365413106, 732548957, 258006568, 846700589, 401415954, 51563804, 978610807, 218837934, 237197069, 879996354, 620870954, 927681663, 744796094, 236238048, 39893115, 461657565, 976900460, 881764632, 510309740, 813134240, 468295085, 958722941, 276304042, 377689911, 956863880, 802574705, 350264517, 576683798, 386489803, 276943744, 544178554, 535528091, 735387198, 47239867, 511748969, 613569565, 577026289, 440241817, 894369028, 442294696, 595541233, 759430860, 230658750, 33194482, 9018475, 772487398, 823225496, 739246458, 642639746, 72435085, 784029723, 486064082, 640736528, 446789989, 258899834, 443225817, 596626310, 498286619, 773364594, 947480794, 835197406, 760762719, 41907061, 883648337, 2542583, 37352935, 358409243, 560526881, 467454380, 349422184, 515182609, 934320882, 365701333, 965364535, 469163560, 245169175, 748857412, 560654164, 203960829, 265071699, 22830403, 58590920, 781669190, 630576597, 107482783, 328192249, 721949577, 379734539, 909579292, 813616762, 221416409, 410935964, 763116134, 985177126, 509703536, 712930735, 233085423, 32440014, 415317994, 149826509, 766898405, 862759587, 393820917, 704227059, 161637746, 718214728, 481726854, 392868702, 855117242, 881619325, 223740547, 746058325, 575605063, 961096072, 501003615, 80398909, 877348041, 695475912, 947140648, 884024653, 480080065, 194783250, 456051991, 717923226, 854891835, 766897337, 887829018, 91690281, 901618733, 772610970, 670226974, 273476133, 990547810, 32989547, 897210953, 816375976, 740141462, 590994377, 258446298, 372417164, 344795065, 95619953, 397449674, 862693153, 371263306, 101075464, 446398609, 609922743, 828611072, 903739689, 522297594, 664117649, 419154370, 869152036, 298633688, 423454105, 187810731, 489360810, 720057777, 985418768, 473673771, 328792264, 468341710, 704041164, 330948557, 843503911, 626829699, 490934662, 387876112, 276679881, 366734048, 219251492, 647061435, 374949591, 943556929, 334267900, 963936199, 687170980, 261784422, 233661289, 666768851, 176585140, 761365346, 458524679, 1365341, 734297995, 777269140, 651733478, 478798108, 661958776, 235362170, 544666175, 545582226, 493427706, 402572203, 432145273, 903239952, 368599370, 994970544, 292780901, 273694082, 535738376, 629672643, 16354924, 442927878, 660586277, 306333132, 278083948, 644878960, 12671259, 598479702, 128286889, 683015784, 799323341, 859419201, 824537103, 674267069, 142426544, 826355759, 538828025, 511996982, 449870741, 317944831, 701491269, 676518779, 611286957, 28936815, 693252686, 803537626, 496609635, 670755406, 796384361, 852646656, 232242238, 937349396, 922863817, 467340556, 788522757, 687101594, 250724379, 662754127, 235058585, 822939651, 104616424, 107510309, 411422977, 565136230, 99256726, 199188691, 30052947, 796830131, 83566260, 328079881, 926101276, 559702885, 220710684, 84758958, 309674098, 355334299, 419392991, 634666122, 298351196, 909715122, 914819256, 427994049, 216485586, 175580335, 655354939, 18832455, 197035464, 730239175, 590225844, 145510470, 91101044, 39686928, 750206318, 997530665, 460218503, 540388440, 170551234, 983737939, 166768684, 25217455, 865036914, 119299096, 358587936, 29316322, 530732155, 868810687, 636190044, 123130648, 617542815, 141428413, 202689068, 846457769, 727993996, 331508262, 931541016, 413185813, 97655363, 336663536, 983479606, 839805749, 707771189, 121230316, 311908997, 305864708, 938222845, 229752577, 135305188, 464492704, 15073015, 292879587, 939694803, 834590630, 304738012, 590950426, 385863837, 536614333, 27956055, 106317597, 971650056, 889159030, 529931743, 787429329, 738588281, 164048348, 7573131, 436568335, 148601717, 186435698, 493481895, 313944444, 244766093, 173139073, 367910876, 703458416, 940648505, 49913651, 126209058, 938895686, 667679312, 12244943, 76845108, 123681146, 619255043, 841233041, 149512881, 376379572, 572251037, 826790995, 31001256, 123592080, 664489978, 561385136, 511490921, 747179159, 421024757, 936529513, 302661071, 713855076, 505817587, 516775487, 306762097, 487810794, 957547345, 254874401, 540169914, 620181221, 468719021, 342685031, 710842591, 924082934, 247024472, 674739047, 565850079, 224034255, 240926021, 448742819, 754037457, 917595012, 324997604, 229117837, 890941048, 4350978, 756373034, 536419305, 742475145, 953564491, 29497969, 421245401, 883936821, 383205213, 255934756, 149198382, 639578068, 53664636, 224362434, 205459513, 486306838, 690199980, 816540211, 527601089, 257074627, 437685854, 422294399, 883824417, 32138806, 273758513, 240900622, 482952612, 153987760, 194758425, 888007203, 616723345, 23823002, 673662071, 848365761, 364849877, 886949380, 392374958, 267855989, 943547863, 980132320, 141884465, 644499295, 108367149, 769565987, 38386744, 212492274, 780629310, 363660892, 246365928, 327437464, 733902662, 721604832, 257077501, 53492345, 795277369, 195112337, 609235799, 585430106, 265034886, 857887409, 278229402, 839860985, 528911194, 685935169, 524581336, 399400347, 125056922, 301188130, 206486595, 558612778, 416797215, 907709853, 368632198, 246634392, 732529103, 764151385, 255550230, 1327742, 652571009, 785238148, 14062355, 503964208, 861458116, 205538384, 848011074, 65586906, 160377035, 668878835, 300986452, 767676277, 430524754, 993697215, 160207020, 625197433, 446712213, 666913992, 852688651, 930342836, 255680911, 171298495, 217001178, 207019747, 590485953, 405323270, 551520189, 67263403, 452344587, 567587838, 504739749, 414052004, 200274843, 862322109, 16387939, 416581666, 648845286, 954271441, 398642850, 597813831, 164584985, 399048495, 481442014, 976928302, 530777389, 112058457, 861629000, 377847883, 684686922, 710588957, 168014918, 547129386, 420498235, 895952178, 769617672, 45145289, 821303043, 905514307, 984459587, 680519531, 117797884, 915933931, 803663551, 695255132, 987791451, 915682437, 287984977, 477123814, 559834830, 610324883, 649740481, 404142999, 701690798, 230367935, 329901574, 707870110, 453667203, 361204604, 681205892, 979373283, 329013081, 412494647, 918411198, 620006712, 165119554, 135905365, 649996880, 434298598, 445293996, 129894730, 673283816, 11033069, 399438711, 240376587, 920059050, 670559398, 829320614, 475384761, 689497510, 757038308, 301415194, 159197404, 982401358, 955727018, 997545641, 922047100, 319154075, 975479615, 35083202, 845181396, 340982785, 938695471, 597524931, 944165141, 753539070, 345361932, 529808647, 135115662, 823371188, 321965178, 638261988, 909023726, 261360328, 372692914, 989690426, 738338716, 428603689, 52946489, 167024884, 883819276, 749101057, 865879762, 681036676, 590525400, 286081224, 643529930, 841154652, 576582473, 612880803, 984889221, 61281553, 847306991, 597648641, 496267532, 837438247, 592993499, 508398977, 637007695, 464810390, 805656527, 765722137, 498580299, 129392761, 103926056, 334696358, 800924047, 456366900, 185229520, 29074159, 36850698, 975078288, 903175906, 932774519, 755802543, 136900796, 463467897, 355103728, 507918752, 548729291, 199561754, 296024627, 154456203, 375868491, 725506318, 297169837, 381323083, 487310233, 54331073, 297611765, 373829094, 491966532, 741655139, 13338732, 248199871, 132146352, 447386148, 762036071, 557439512, 58980653, 721304850, 967131217, 897728621, 115577377, 260508187, 677557613, 647378340, 865060498, 579142413, 186915351, 467776712, 31547286, 501341172, 925122975, 250060417, 798741671, 614163312, 526451405, 777675638, 510679093, 461511331, 262360306, 73085046, 605239644, 513921574, 329245096, 937630979, 819064596, 783856835, 470069798, 764849993, 860546206, 263142865, 61428739, 6415401, 972775086, 580164460, 624296144, 705505999, 191565343, 184182062, 271339198, 784753373, 719863860, 210534795, 424038326, 764688390, 560023913, 88272533, 448736632, 123513730, 590925424, 80148205, 447412456, 70724481, 952981183, 631525384, 452064578, 677612798, 645170735, 547509443, 539758381, 187395827, 332891505, 275033815, 130320546, 958732610, 559227667, 850477899, 406932198, 469643375, 973347536, 483973136, 300878848, 642475117, 348037229, 42711220, 695864161, 652645462, 626473666, 447468890, 875241919, 759096086, 114821358, 271174409, 241566409, 453364579, 935056484, 476670049, 460459902, 639682433, 473452218, 661801978, 566581105, 626496125, 232322929, 615541556, 484644357, 535009066, 573856450, 907995003, 114265481, 221868820, 533693696, 164916559, 195713052, 572331702, 783958724, 126163428, 64963075, 91162342, 909240399, 473783717, 992499679, 423634830, 605310627, 70262991, 916599077, 573950512, 640517077, 29644207, 153245705, 981072101, 900472042, 844130686, 562028106, 639952337, 533486527, 805373863, 201372110, 174465573, 605942097, 184262291, 697915325, 419002204, 149236003, 898915383, 847176023, 395199352, 656869813, 707842680, 800671491, 537949516, 926062478, 232078956, 139060572, 924787823, 253109262, 20375925, 89815406, 100258326, 966716240, 943541002, 717744009, 787679220, 687647881, 493817776, 817448728, 257970540, 810866105, 141604906, 358306054, 776977509, 363130503, 513825762, 998760571, 998356719, 324368334, 580253382, 519580797, 570844020, 715684889, 315473019, 49072851, 508711666, 995876752, 408269070, 628748246, 59555216, 506776737, 461443393, 283353345, 608189248, 797503564, 836162910, 377928741, 457550295, 324968660, 410800720, 200313302, 901292750, 833250159, 436144304, 707758788, 267749459, 804483462, 52918975, 397335519, 796360897, 612225389, 767012807, 113321643, 620696030, 113820266, 178450313, 697155928, 613507776, 551871482, 737386087, 882441629, 958565563, 952863862, 140073618, 958231393, 589424726, 185135144, 417710062, 797313955, 186078950, 570707058, 514513684, 37352809, 282544221, 382384210, 798410320, 140720687, 405660084, 493941546, 601085531, 198018405, 62340345, 94101442, 45399524, 870494516, 865955322, 723554973, 171498166, 883964931, 764539842, 608222461, 71640960, 446493794, 133211198, 108411161, 293645761, 429474864, 939516301, 791817781, 308459625, 447485394, 950758601, 999531631, 940578496, 219411620, 341116937, 641962079, 750827771, 775299748, 303180650, 906868409, 204207846, 97042683, 65661802, 388535964, 412591276, 416859497, 216786621, 479909856, 861633571, 728974077, 869461065, 773789902, 566293437, 614149181, 343123668, 35163812, 72826970, 552486119, 665433736, 564795395, 640465676, 586777476, 694156637, 594202116, 259555719, 90627804, 593802781, 270625542, 99366167, 203058221, 52590351, 391564726, 603563747, 447412760, 945863113, 376856144, 653854652, 346141118, 502895080, 224688055, 134942855, 169144956, 232271940, 592365279, 405505080, 86909757, 945925330, 218377727, 590708721, 490058061, 28189435, 701505430, 581394443, 908073195, 406705884, 725264687, 621885455, 512485571, 912057647, 288940309, 169796418, 716211630, 398938393, 915802552, 371715301, 843655439, 852821406, 7379719, 132189037, 998829660, 188939417, 356778987, 92198633, 670558547, 667680433, 270284608, 904862789, 78357598, 906618243, 511349689, 780176215, 18125042, 162405450, 817056828, 591116868, 346633153, 380552864, 614032186, 332863159, 833252284, 465921229, 251682389, 843091265, 9169544, 109048041, 172282158, 161379540, 721234131, 66794052, 732461106, 506306742, 256553515, 340285247, 935824576, 75659822, 380330783, 793039476, 237625382, 803170181, 35274381, 830596382, 464853621, 487545536, 821744498, 652607434, 496588420, 687384982, 699399627, 70594307, 251442115, 298057422, 477394417, 164837461, 250611419, 998189708, 706811300, 955065647, 890764476, 731020470, 963233464, 445448825, 459309330, 980369460, 492199603, 889138818, 246981363, 333995270, 458999039, 983410294, 482757429, 717539177, 616332726, 46553293, 674745752, 48600257, 367098880, 806247562, 625295688, 699601276, 50885775, 911509850, 538844814, 827766470, 142558354, 5120653, 619099823, 779262941, 950287566, 492216660, 487259474, 389102550, 788575361, 595643031, 223979653, 946678423, 462033493, 986592525, 593352550, 662079648, 615254985, 381075875, 285781416, 920774892, 123990354, 7642886, 880728427, 250121837, 147806435, 667728587, 48494157, 466875106, 589384633, 438678092, 749761802, 805692707, 863896663, 64304501, 438729963, 742751265, 872610969, 606778014, 932351231, 432870767, 589587147, 77846731, 160503820, 314904606, 219392231, 403738644, 189509473, 76493455, 640786605, 935435032, 78069564, 332678494, 472895927, 54436614, 984385838, 788047696, 982969656, 924631685, 729030317, 608148300, 931771973, 553909071, 614387377, 936876741, 795653029, 973982396, 736223525, 693683324, 534640149, 35253693, 222806424, 216770662, 884041549, 302578549, 689384229, 134050994, 100464724, 537050312, 765114859, 345414955, 631022153, 854630404, 408594653, 294442033, 406716511, 844625072, 44315075, 459833534, 390923804, 125730126, 101195539, 597508169, 717533794, 915994667, 52077401, 21090568, 672883128, 409153209, 196002440, 80658097, 961074704, 736183168, 808520994, 826200405, 47057328, 92774242, 95886216, 623442280, 739367536, 191026639, 692278691, 537637247, 537247363, 981697533, 371311332, 248448171, 561838845, 516644909, 881082062, 440694382, 81000096, 943933394, 687880704, 676037296, 375911857, 817552907, 258373260, 881226399, 464643851, 978774698, 49444695, 350268855, 563448863, 362438092, 970626506, 554353997, 734565833, 542032398, 175582544, 298270202, 287609736, 660670233, 683791071, 396109163, 876888663, 991111263, 631367508, 364094331, 876097191, 369437440, 228842873, 488450074, 911360650, 992454449, 967717535, 951932712, 662479410, 96641967, 143659822, 507125269, 977777499, 708992967, 972482057, 566844102, 336043380, 813060644, 349385059, 917443587, 223220003, 566932995, 169319676, 172216017, 571450955, 865740288, 185167813, 306818048, 898252501, 153978412, 158786163, 938485904, 272370562, 903836928, 313041514, 587712317, 478452473, 506728329, 607674144, 647405864, 167393292, 476475855, 165745887, 589742891, 824693663, 863753186, 79914725, 334083057, 63341280, 767751288, 51460653, 925134194, 224301059, 319231096, 347423331, 320389221, 483633482, 136883141, 100752258, 73926087, 842199766, 646217872, 747107281, 571791896, 28444942, 251855323, 352105490, 982552975, 111452523, 151178798, 436225946, 801416953, 684891089, 805172230, 917849135, 607329545, 966992665, 97948961, 344191586, 921651440, 447042916, 503036538, 832947322, 132347388, 226763543, 904685120, 748923658, 239475811, 592388209, 792215450, 879598668, 956609297, 871618627, 184872916, 131475466, 797240238, 426871754, 238242657, 184352166, 434067197, 76810734, 664414810, 602888680, 119839802, 526524765, 833539607, 432473712, 79331156, 751993769, 527845274, 908787850, 691768898, 890998586, 105334182, 957542713, 434382156, 569518909, 948563423, 894355818, 523866029, 115221272, 6744199, 352434384, 617774096, 64083445, 466018876, 678396955, 938004562, 777455809, 54355508, 500347762, 802014403, 120821223, 509460888, 722171649, 435134284, 683525175, 459229050, 868414680, 974772475, 799829253, 995976281, 716897108, 492744407, 486069460, 541357860, 195679307, 370205034, 77676430, 549400064, 151022726, 286233203, 68063311, 909107695, 901384974, 679478588, 219545058, 884622513, 396038513, 393446745, 368426319, 471250956, 905938934, 639822755, 851206842, 680813257, 548987471, 132314410, 72587405, 541149292, 705589059, 697154968, 869086704, 550143162, 520311187, 665526413, 570679823, 923509313, 4912212, 832046583, 947611115, 214702149, 98522999, 162175966, 96868044, 566904955, 895067889, 988383296, 957742934, 961954191, 727237571, 538969495, 976771514, 246432704, 989756732, 361994716, 30679845, 670285846, 483122395, 549244483, 121121426, 547805193, 12545488, 396479234, 814713828, 639008946, 210712956, 269924870, 89316836, 165144976, 330994680, 446115671, 148685934, 635241726, 370279875, 579214642, 782524018, 420115210, 396977481, 37863909, 438672305, 591486826, 586415211, 920169895, 674715168, 965518556, 865850491, 728515089, 983732207, 381162951, 912712524, 17643208, 109540704, 910225970, 97847418, 587051007, 676220237, 18904025, 959038019, 913811522, 148011983, 89793829, 686367744, 373329377, 203461540, 861869669, 496104214, 875124123, 313770236, 863982276, 687209589, 142226371, 883075725, 665245862, 214495766, 568541616, 945487020, 365530074, 570640409, 362257350, 651184978, 531458757, 761605439, 160455445, 635550563, 693820374, 43361353, 398132337, 971047098, 713392220, 606761403, 209891738, 39743260, 702507466, 20043366, 838735703, 55762404, 769294647, 812132291, 975560770, 242842641, 900416151, 71018767, 782696746, 99691068, 185258526, 222673914, 868562818, 169319514, 536478360, 287421184, 341941677, 169286393, 409051003, 839842461, 869218082, 633764226, 114540651, 949228402, 530142310, 281447409, 740027257, 517096274, 898318011, 63685075, 378744503, 610545107, 304231458, 644847196, 511516533, 682959351, 149315847, 266814040, 319263452, 267776019, 848238787, 750926765, 840045327, 862325117, 348733864, 298138703, 284103598, 598492580, 156001880, 70279098, 474460193, 55455136, 869473966, 756409230, 758012695, 298015263, 525530124, 386557302, 211952772, 335553538, 957935662, 244349152, 354739297, 720795168, 485356310, 123375568, 127688490, 524548650, 233259706, 673615856, 905091702, 872192099, 565369869, 678722703, 998707985, 214658472, 14750930, 551578757, 954889053, 51954916, 193284787, 168201586, 728476660, 929438341, 351726612, 315727004, 861429475, 536919812, 343507402, 340090007, 957939125, 896896141, 108832853, 969619126, 854127712, 908048109, 226093267, 481683719, 862001740, 83009830, 719129431, 947949324, 682702677, 765969829, 920320169, 430992852, 944702337, 21696046, 595218194, 71718902, 456900254, 401937727, 940533337, 494203404, 420795947, 936000370, 793390778, 898448496, 886943470, 723450332, 167326337, 671009820, 905745253, 79751207, 44135507, 471347988, 76469739, 852248037, 23228115, 855406855, 77040443, 490388316, 718114335, 158903506, 46272561, 696770576, 233752836, 236411556, 840163347, 655377204, 430704745, 690839716, 457192987, 311567722, 643311361, 710309085, 719450806, 692934508, 675093608, 602377699, 560004843, 887192737, 22411572, 700243769, 778601769, 475398829, 416714946, 333179498, 377534651, 722464325, 572207172, 774386588, 605749620, 126491177, 722624992, 792360758, 80682917, 702867878, 690550568, 690575300, 727975933, 517876721, 673831410, 103814711, 280342868, 430219673, 870955233, 922615792, 495412461, 273205147, 303205068, 217276601, 155926139, 650525550, 607250188, 153066784, 754460842, 123776351, 324631794, 201912444, 902626410, 200004682, 196197395, 991865543, 851427095, 853377876, 76141036, 745644546, 141393876, 705712792, 842861082, 625257810, 772385545, 894792161, 252360651, 219017589, 277016199, 302023929, 623389210, 253319888, 608772325, 244520059, 331285887, 24354541, 709469850, 69520653, 114155173, 145349975, 651754933, 414033701, 760143896, 357131644, 885091615, 692610222, 754394433, 602591700, 120210569, 480536385, 872061791, 693478065, 347202054, 507368878, 850778921, 811337843, 260106746, 371979786, 8929237, 905410654, 938041333, 960282568, 487617716, 997254909, 865594720, 73572436, 696694378, 193410759, 852642201, 613898265, 142698161, 407904688, 432888090, 418918189, 614915278, 49054610, 571490650, 790831059, 23777042, 828384584, 336056479, 261645030, 378464012, 219823651, 558456330, 139998861, 261295658, 242664484, 996227168, 29251656, 141410053, 250377572, 803100611, 92012, 430968598, 442929607, 105511481, 292521351, 156235931, 747991148, 810091891, 477555189, 500494900, 237715401, 106614576, 52224509, 240033921, 316130890, 166783020, 530933598, 504461133, 627444297, 341890771, 493617553, 164265460, 892682518, 285126970, 874065798, 74491465, 216537320, 46381117, 190774584, 730597372, 81085129, 824801693, 4264951, 314183570, 493730080, 609463874, 262977862, 552598301, 169742682, 2717924, 523912583, 489606623, 48086801, 97752479, 205989894, 777970808, 883350775, 589463072, 356072888, 237721004, 620799002, 910633983, 438918286, 616077332, 432510106, 755711076, 840235599, 131107530, 175183969, 913891278, 606759694, 296531310, 799391173, 439648937, 469221439, 375101853, 729058273, 835224804, 703889654, 985151777, 961183997, 967729004, 25460789, 769207088, 773819302, 334545345, 34959312, 644985576, 466276560, 36864997, 805694317, 478388474, 634923222, 127178231, 551939651, 592766391, 967506463, 201609935, 475015688, 56367885, 537253900, 707778631, 300635082, 71339940, 751600620, 325887850, 475631430, 306752845, 732378524, 277186924, 676604047, 306397938, 882411484, 7467471, 762004370, 934014113, 342600712, 398796987, 467505420, 562673092, 322440937, 115173532, 397510632, 880904923, 260859141, 798193717, 506262731, 203215006, 302682278, 513286514, 702090227, 960404344, 689154089, 549080107, 123121095, 66886473, 531905326, 118024980, 2530105, 847815736, 958177182, 194873862, 803381291, 75976161, 53148937, 359540342, 51816049, 823380223, 680926877, 450335756, 486075014, 505281008, 22328596, 268572783, 763937705, 31285725, 1490149, 193186070, 548215060, 904011013, 226966158, 15883576, 20449347, 380003454, 124948509, 851676191, 202152941, 230750250, 325540143, 876610807, 793297544, 210910282, 113591317, 675455634, 973910660, 343457815, 123802311, 208383568, 659759003, 957791868, 81115208, 83357213, 872503697, 458340231, 247136352, 264154363, 702945225, 612682958, 636787450, 571342288, 71868090, 511751863, 749668031, 189480048, 896177882, 69178461, 687856429, 688005027, 300743505, 146813275, 477909257, 902093771, 119359819, 177535230, 938285764, 334990553, 482431990, 333785572, 366405620, 308207640, 181625642, 188278251, 1120001, 764630472, 561960298, 495954878, 802895099, 778447631, 948605242, 672191870, 249794636, 459235334, 608424875, 18856435, 816614426, 754836096, 321580704, 762034905, 220697054, 499501758, 689796596, 856012205, 84585822, 31154571, 858449527, 335102074, 287243405, 972515664, 160496370, 487348865, 862413755, 565012391, 379906906, 681231134, 486597044, 225038285, 992991410, 251512361, 557519713, 802457639, 999649295, 303729162, 228166252, 252031495, 934957882, 370582676, 575190019, 922739612, 480672950, 90177929, 502430701, 754680920, 176478999, 107303491, 695587054, 754050276, 441217963, 656906828, 703268637, 176417343, 446376324, 840483470, 528163210, 560713899, 12872649, 583295124, 310247923, 385193287, 723396763, 364211143, 236379543, 476926827, 479110903, 390236327, 354347068, 680329802, 131435850, 899084927, 49142712, 235375070, 414619974, 814202848, 262038252, 182497609, 621656340, 107838354, 207989677, 611184534, 136332834, 357256751, 678214351, 243755527, 694268024, 445207774, 641331052, 19400354, 301687116, 405520482, 854370923, 490079338, 199438685, 698924799, 361927749, 551884346, 542364845, 430584064, 73885538, 931301869, 796893733, 277083243, 299548105, 539576943, 756739912, 589122630, 153394732, 850874263, 49440874, 139295255, 895911239, 848993590, 253215267, 352119307, 458565631, 500622962, 665816443, 40493780, 924774054, 173275480, 576341301, 640972481, 619584790, 217837207, 203572536, 462705768, 817710546, 11222125, 833703791, 224118611, 894602733, 844246186, 242786851, 1626716, 337444821, 572449080, 907079174, 717099848, 12872406, 700155314, 853790999, 865319040, 14991083, 534951518, 226785982, 170023525, 733952829, 216248691, 295065498, 318834367, 982069084, 487305924, 665621841, 563012424, 843918839, 290569547, 412725567, 566748231, 885420703, 194237836, 607262707, 825779317, 495416864, 753284858, 899707563, 673363538, 947333975, 796603952, 277322975, 890561749, 316514452, 367215622, 76275368, 967089384, 677323852, 409177393, 566428052, 355326702, 737727008, 495855625, 766195686, 591975746, 166650278, 964624876, 479743051, 292691259, 199085408, 459115576, 431247567, 835225942, 398057778, 57764488, 780606895, 676680772, 651343600, 498065609, 415766402, 676568606, 473429865, 949108920, 346661088, 797251586, 724409481, 921633268, 150607069, 786038434, 921325784, 866019834, 555591873, 82722367, 175508451, 162063692, 235955513, 966586059, 552570288, 566268647, 133973616, 39296087, 632149152, 743910111, 491034962, 625168313, 522775644, 634468589, 698563565, 598973149, 329683564, 766841271, 703372805, 584353424, 311709842, 622816196, 435562461, 472587272, 208596878, 545711741, 189553679, 348667437, 37848836, 80982679, 157771245, 683995160, 515474203, 20395949, 160026638, 201831632, 12092947, 338727075, 621943181, 818835146, 634923552, 579349428, 769202923, 291288997, 649375760, 344238786, 518246554, 549849341, 196134627, 703996673, 128749066, 576438999, 923373021, 131735927, 423690859, 404778736, 488340349, 563419568, 360665187, 143544584, 821226407, 857155784, 688130769, 356670908, 583430317, 933083858, 253716341, 878497189, 341439357, 275767077, 453487174, 264945563, 656200217, 448335079, 719359259, 295787903, 602088793, 186588769, 967403504, 689102406, 37857585, 96818128, 446289709, 869604933, 121273503, 234559218, 263247276, 159402397, 765407457, 533557146, 879799386, 731990380, 89076708, 261975271, 704433446, 72675785, 990723421, 531485340, 968672883, 161386409, 518837508, 96900738, 822563796, 719697634, 831892115, 685193391, 762088336, 314795525, 588570591, 54547269, 326898331, 209515675, 537361501, 768542759, 2704924, 353474983, 178067655, 659994441, 645943601, 75493661, 19757886, 54004552, 771076364, 747034842, 32152706, 994687684, 860790309, 989995866, 643003328, 38917322, 500591536, 159139808, 835673109, 583146859, 82830911, 969237702, 346722052, 795972089, 405762595, 64555013, 147232281, 186284975, 340087277, 258461662, 28340001, 145133800, 931973547, 977195422, 23307560, 748831944, 835828643, 105465266, 537316570, 894541240, 488472448, 737468322, 93677690, 531509403, 992979434, 955206809, 251848145, 535520842, 374726935, 839328306, 308362059, 755571984, 525891006, 45186530, 691137656, 239260643, 826143281, 3924534, 339948134, 2393386, 376999174, 755164266, 17805246, 370503312, 738576104, 828399565, 37747151, 331118012, 383960632, 890037686, 234334122, 150743545, 541574422, 922476348, 980138490, 349402957, 263458211, 279693650, 755435040, 190558603, 418132508, 537504248, 144729177, 257038397, 63633228, 209961314, 698221260, 430404905, 285123583, 283247740, 584047566, 106525573, 80268842, 809426095, 27285556, 641904454, 33092207, 221902235, 489767643, 652219124, 812581543, 468805520, 260634403, 702302943, 323164098, 637775531, 329869128, 974539466, 378310722, 38038584, 148147175, 74163375, 53138113, 976409102, 256793272, 372451042, 185849953, 87886840, 462708284, 454349840, 755634114, 211069115, 759714956, 607269525, 790889615, 121622359, 142729995, 321696264, 365404344, 718019825, 380391820, 858827796, 394484442, 613536961, 20963351, 666425786, 642419765, 360168124, 935507649, 852978796, 810032696, 495820120, 865268181, 144148395, 718055139, 316905052, 295707808, 720513159, 451974842, 640986466, 116606312, 455772103, 175216647, 746986152, 220381381, 807199723, 249624091, 55425477, 33961874, 801665859, 319755998, 839492201, 596883187, 152551908, 713807824, 650475079, 545379673, 688469607, 257173467, 731427071, 770996635, 977306881, 400362045, 45091872, 467742437, 549099436, 424165873, 688796598, 816722397, 245737575, 497824853, 209985835, 291790575, 110785224, 855942913, 682613937, 925806986, 154585802, 874890541, 513869099, 115113927, 191049290, 331046489, 436709962, 520586521, 262599836, 812398202, 326919529, 646884061, 70056291, 105526753, 142972695, 41266850, 436870496, 449334247, 351602553, 157767359, 646967564, 5847910, 91022098, 291702335, 864884740, 147364380, 306041485, 430528514, 397392421, 787305883, 785457961, 400018428, 142318447, 27267128, 424049315, 286687863, 186559212, 251405344, 191162445, 694171325, 897305968, 157468355, 891272261, 109117703, 497034604, 407375759, 55211198, 257306500, 161683695, 591017300, 111973328, 482039376, 440449701, 380248121, 24366404, 757836088, 30910964, 905847343, 62988958, 565659007, 607931516, 435533247, 253777236, 249524255, 155785714, 944839240, 788972092, 525256327, 390837119, 324737593, 420003876, 483708665, 198201857, 216384065, 582581688, 758866424, 95912084, 28521379, 134313930, 414898912, 50766360, 600958917, 632338924, 958645060, 501049669, 977034596, 43690804, 923354576, 162291433, 918883344, 540157210, 81303463, 860572571, 524780466, 457263485, 862777508, 264412304, 601474420, 786417436, 218546496, 707340844, 955649750, 158423727, 780757978, 138787304, 904514775, 319847020, 879599473, 26349047, 253296952, 941332016, 267616305, 945582051, 921822422, 579802344, 158619125, 403561693, 629403755, 490875031, 677722343, 885531344, 303664799, 173147892, 438699578, 463391765, 924448359, 706404864, 890551474, 630939371, 344450522, 843976557, 396579427, 805243468, 54922797, 666903987, 776786585, 649592321, 94063542, 567100627, 428669819, 820724270, 976078849, 333598183, 740272345, 9472894, 519708345, 432143133, 798309401, 986123297, 600581039, 300753822, 656331863, 897025561, 505910358, 916136263, 593551690, 635551729, 27142402, 34915468, 590600740, 402802610, 807837063, 715601358, 193469435, 212214600, 941352562, 384664210, 681320750, 713121618, 530388947, 365940642, 997589877, 156056812, 336487584, 736332050, 813947456, 874367389, 110458863, 365194718, 45806893, 650006198, 468944422, 466913215, 749314184, 671356418, 799895305, 225592363, 440294891, 33335743, 851193943, 963633821, 757399992, 845109834, 545099422, 946902805, 406294836, 650242597, 14637192, 196251920, 550757873, 96495476, 237624208, 775455047, 622591480, 906271747, 214718068, 185591323, 94952195, 581819315, 694980611, 745120141, 915499347, 748278701, 633511920, 144488003, 666609223, 600749702, 31098737, 508741918, 972145225, 157753564, 237626202, 635239306, 231600519, 242112745, 372375813, 761969309, 16958408, 300319490, 276776283, 47139665, 378025765, 846801746, 819358591, 718742601, 478949542, 903948506, 575802445, 832652970, 16477097, 193795462, 589414169, 675268046, 811370312, 937576852, 917417449, 185074641, 826683548, 655956446, 324087399, 333761806, 37884453, 159569628, 413902223, 263011329, 613749098, 640516753, 811502529, 997014111, 558709667, 593312586, 652999579, 713042049, 640530678, 795907205, 58296997, 5779918, 531357883, 632621011, 438418554, 247007671, 706823417, 546197661, 585925234, 830034271, 142834711, 354014519, 308803712, 948147678, 101032523, 511626172, 724880770, 122823219, 869204075, 205698691, 859277975, 649904171, 651812879, 781676952, 291704388, 48256992, 980883852, 44580292, 647485547, 830005400, 993446947, 294489882, 986809708, 599365087, 643842297, 657333976, 357253791, 398267546, 452289351, 380254489, 419375400, 526999252, 905238136, 133785845, 155646545, 997917643, 155644299, 158874631, 159099258, 549501240, 75501958, 258487471, 635259232, 808783947, 112544057, 955583089, 331371423, 852408065, 68909064, 922943663, 304547540, 491141468, 451777060, 792556049, 117199630, 874123773, 284201004, 156234167, 246149039, 904614522, 151025834, 998093899, 150984435, 990082075, 788356074, 754459656, 656211190, 793536570, 760570746, 246782063, 366982251, 996956613, 468781991, 823529875, 68012383, 220705378, 551937214, 853094121, 700836205, 460071446, 814823631, 816356231, 496760944, 42682993, 241948488, 960710145, 992404263, 655042903, 188388506, 308781463, 476925542, 673692857, 265918320, 540517399, 845233919, 968740565, 171372741, 12955042, 221012981, 328593338, 978274785, 108618597, 983679546, 356543336, 499924856, 454713166, 131231082, 619896204, 979837961, 584371580, 838251137, 150514397, 880464395, 289618124, 122707954, 970783817, 337376341, 308586439, 464986650, 841448967, 270034850, 776211940, 84998276, 487118423, 362891082, 962214481, 19374523, 587980757, 34907071, 588406678, 831272940, 797310771, 861445469, 762867708, 434276559, 736236304, 239846299, 303009375, 238925540, 358961644, 252956070, 228485456, 706342921, 783596295, 159369318, 105387654, 895811481, 912338592, 689524399, 541158479, 68148043, 632375786, 63202909, 359524886, 64687992, 853407528, 337592393, 528907896, 844131799, 95937968, 412398462, 37527326, 22269183, 619083463, 542327708, 831127949, 809320379, 538117152, 988994249, 737471173, 771226652, 443448517, 841960765, 24661685, 931066885, 97778247, 938398770, 156336162, 696298116, 929058088, 576528718, 277072177, 574614962, 112969307, 326512342, 767985658, 116845106, 561684704, 639430226, 283979809, 379398947, 450599552, 448309973, 172865646, 180293354, 148408857, 647193833, 857925443, 66574543, 624269443, 191155214, 157487477, 750640198, 641023377, 156785898, 572435761, 837555642, 417789155, 627286204, 690197031, 614013242, 207228906, 5081552, 309356296, 86025595, 66571346, 801415372, 439452798, 708416621, 484172828, 57543287, 253731464, 40421986, 23729660, 643862447, 427506060, 735589600, 578611003, 554435762, 453020574, 866465878, 315170626, 677340828, 338024326, 715899750, 58091038, 642640449, 904065578, 624719806, 210041724, 370649884, 6176694, 800034973, 856528159, 123271985, 671525573, 559350615, 246934346, 719086201, 795715840, 930590041, 265065060, 398571241, 717083029, 548786614, 351257173, 302901296, 998962598, 233355336, 191758626, 500372507, 610924613, 389657505, 790115508, 678043751, 608356033, 367549996, 578616980, 212651769, 802783955, 352423374, 60999796, 22265752, 176833355, 272523510, 344381619, 78433501, 476145830, 489656547, 970156113, 999750092, 40976203, 776772833, 538031929, 549610938, 196520051, 96094493, 345605987, 546187814, 216833120, 876771838, 824816573, 649995435, 286489382, 321151153, 542908898, 720660057, 658521399, 447726412, 160680599, 334522954, 948237605, 813270377, 761775470, 595151090, 405710481, 93567640, 212305786, 724107659, 61415952, 651631718, 545751084, 630468928, 590234002, 286583157, 439917074, 708266855, 924515083, 502337206, 72182768, 29098221, 995416609, 286225671, 200169268, 470071249, 635196129, 884577351, 950165666, 726454174, 452554720, 657613276, 873497506, 355499768, 398466391, 447472229, 919579030, 330067693, 156724060, 186011527, 247096979, 416628426, 276948638, 727949776, 482901337, 523719507, 937403003, 188743803, 31102352, 39673364, 936647089, 592221138, 437295761, 352380082, 145500255, 598835630, 102232431, 428690733, 133201008, 706917251, 955064605, 445683542, 847821811, 13235533, 585252510, 712418892, 271086424, 844189815, 314497363, 337696241, 386646620, 977617902, 149102659, 746620491, 350033754, 751906858, 859696001, 614031666, 591916642, 766155826, 603708469, 878475170, 12615255, 767415468, 546397593, 444423393, 196565011, 952199677, 218653466, 261017912, 487837282, 586853024, 72955245, 191710681, 945993210, 458847286, 871144849, 63914246, 552249496, 614876070, 739826919, 995810018, 841067875, 203427763, 700977803, 785910286, 130114550, 904765032, 319649434, 191209334, 141868339, 265335796, 908678341, 44895986, 594201139, 618834845, 57243166, 447023205, 874633019, 666359197, 407908348, 319405581, 640356619, 973905641, 601993077, 604020905, 506466170, 850956425, 15638830, 166955425, 561791267, 686346554, 115903823, 113519442, 131959057, 998330503, 288942613, 540488479, 995492474, 24933017, 819238368, 542926850, 278070078, 18012023, 734826254, 305179231, 636667406, 549617006, 465736366, 211009901, 760574807, 496184509, 267791089, 724280725, 955002545, 279342650, 204909994, 924593450, 242610646, 398865073, 104097922, 152429363, 591936579, 70159688, 696882281, 565161438, 668213993, 262052060, 65162662, 824074537, 371807585, 205439089, 454405832, 652119639, 742893994, 568191062, 783780366, 651636053, 972684608, 130785150, 518796688, 864996374, 810546823, 251459691, 281815316, 556752589, 452680129, 329805361, 560188041, 948729184, 814768698, 335519719, 54320054, 906876265, 997068773, 300667398, 282124805, 466014012, 262003898, 105531224, 578451497, 161444026, 818552487, 569446272, 344381419, 963256698, 505947870, 263694571, 959422082, 413241059, 207216939, 892025765, 929735911, 882205191, 780114641, 128697851, 559131550, 619636493, 368263992, 510119515, 934041601, 12537274, 259309639, 458844880, 575782848, 809648547, 5659203, 362113060, 185316928, 326190738, 760588816, 592625557, 348453953, 710827666, 6364237, 564715624, 373729768, 135923549, 288370763, 194726191, 924679955, 389628147, 690749079, 107248236, 381277988, 13501494, 803167399, 283864282, 128391205, 678096064, 628778993, 401147445, 853061843, 938733155, 376047194, 427554187, 562769918, 531692029, 671773361, 537788959, 410369089, 700516512, 817876876, 886293788, 254659725, 715459908, 279371174, 156237833, 903523154, 61280409, 545770024, 702572026, 167674327, 497876364, 598193429, 411293663, 403393801, 856029844, 997983171, 720398842, 280107103, 948014520, 376669076, 817032944, 223137201, 164733036, 850968841, 124552965, 116162950, 615170706, 908498760, 640711656, 96590479, 753255084, 169950830, 236235204, 501972611, 814946220, 158735517, 497504936, 183151501, 327233513, 132305429, 917442090, 136542475, 399703145, 736350544, 116325304, 585469091, 416333078, 948692662, 545222976, 884947002, 762925102, 968375974, 593349218, 343230522, 72541035, 25622333, 984265093, 711829917, 590802186, 696573831, 377950466, 441429880, 190181372, 300642809, 401174542, 13682513, 864753240, 41730274, 654970054, 646606233, 612359979, 408885030, 529793546, 817149085, 327861534, 70436246, 882770297, 546795207, 902217238, 280235664, 333829531, 979363251, 120926588, 627926261, 690886778, 777141234, 231247195, 868822225, 67241343, 278372592, 607858675, 160797347, 898024399, 245467183, 746763899, 41483768, 780629919, 925213233, 432760142, 998787104, 927980079, 353325402, 170844807, 127315951, 718660702, 898962647, 454313126, 891690896, 693832531, 103644824, 135015818, 69968330, 637613636, 269185139, 981652041, 594787261, 550268543, 853595549, 25608167, 410869870, 206988831, 702393255, 141481409, 819718926, 696216512, 398047961, 29128563, 216680397, 859924445, 833767440, 980582758, 793198904, 454345072, 185322622, 264945057, 943702960, 3428281, 75771316, 324518343, 824673998, 820124127, 874666249, 786552001, 798106541, 456904586, 52241516, 164280712, 834502254, 397598486, 522035539, 476976795, 874257195, 92674321, 705030142, 5139879, 324765015, 528848726, 697520162, 401171623, 975321740, 274174906, 486145853, 439917751, 281054235, 300416623, 959862287, 898484516, 572947358, 102947879, 105184660, 557067564, 173018541, 516361737, 171972566, 793853857, 281377037, 927836500, 735073784, 755543807, 500945139, 575391144, 360300261, 157837226, 680880279, 630384423, 580773216, 281793424, 755954266, 740575201, 924125544, 947495390, 582396865, 119919317, 597984681, 989564249, 244955979, 33834478, 829483558, 566475435, 173006646, 465682659, 526883062, 33230870, 911861585, 886787122, 359362855, 810163567, 219292679, 910460268, 922477065, 200061409, 324318509, 292677602, 40409568, 964410137, 412792573, 869907446, 160425500, 114062228, 406156927, 173489601, 604756042, 241603759, 687689863, 135015530, 626402002, 59814971, 664173393, 891037799, 611483413, 216661426, 9593361, 177856247, 211903819, 861936957, 143419204, 594108706, 548742799, 247156831, 347718747, 324323347, 631674453, 646384067, 834891733, 87051233, 339815246, 100443300, 850390664, 5675643, 128147563, 719976785, 350269465, 74410097, 206575141, 32786053, 651338274, 545730925, 653381868, 165453830, 304948106, 485957523, 588335650, 294677046, 318017537, 517677248, 707967166, 404657146, 872719093, 541052357, 563936387, 438251297, 776841137, 204978386, 802107491, 408335242, 832314806, 237755133, 353557070, 751816315, 829958599, 612444995, 37406965, 636922026, 532548682, 543669396, 633929606, 741219339, 678299600, 156436834, 231755252, 432766802, 763956104, 21405365, 727878454, 884328990, 168187109, 609172858, 306431718, 88392317, 265741404, 334870911, 678318728, 362741200, 56519518, 863252453, 983860376, 465239187, 261646502, 65602235, 484583502, 400178629, 946479624, 954123456, 617921721, 909335952, 729747162, 179827756, 601219364, 149668612, 244390766, 920004411, 93998213, 115349062, 568523639, 589643334, 160298099, 412365247, 687940535, 511075809, 454831845, 15833111, 553619073, 567386919, 986268015, 494237450, 615339071, 403808253, 564784445, 968845658, 581694536, 41934964, 608075212, 932539464, 825011275, 426904252, 550655011, 628663520, 587448286, 13155263, 694299757, 998139450, 402770935, 601017253, 473859303, 450810423, 692061422, 371354415, 707700007, 696067335, 988596117, 994896374, 156686987, 90175576, 710936140, 277339305, 587933534, 778303533, 811643741, 675086127, 478838290, 40176237, 794915475, 95817686, 348146223, 701066500, 130241518, 567456621, 3883997, 653440175, 239691094, 162399616, 34388533, 285476333, 568548574, 356100042, 900107167, 647098215, 398997170, 815002863, 749035479, 395803339, 118003746, 526313541, 498523326, 888731431, 739347198, 776781589, 249679789, 245660446, 760496796, 132697318, 951836075, 177833157, 183510763, 141813975, 416613228, 176609149, 446365456, 959197643, 117140485, 204243776, 964118750, 421038929, 727604614, 753462634, 992512051, 338767147, 874918365, 94241566, 322400444, 34049754, 750633923, 525104654, 330956926, 153643449, 701916774, 1974943, 828804104, 477902811, 260347886, 138230605, 212662097, 524106908, 716296005, 828932965, 564117401, 311623521, 570111357, 48325583, 565309957, 151119535, 242009148, 832076721, 93700992, 65448813, 714226256, 881904500, 397913555, 986394889, 384786719, 202087600, 639755912, 265723526, 207546783, 177620320, 47266697, 695005001, 355447187, 671502360, 946481749, 317711771, 33565289, 373501580, 443937709, 924661503, 54600948, 321606620, 794677852, 305184408, 273347339, 596625910, 348837334, 343935274, 687453049, 663418681, 356056884, 263412467, 220673159, 277361060, 889447355, 948711518, 901454950, 470004238, 413819728, 382283961, 138417452, 605740722, 996157939, 711745139, 249284275, 327075291, 402809192, 744453636, 19698837, 944445663, 148852387, 361207738, 350373342, 548797283, 179279770, 886151107, 401742530, 189683524, 854983356, 836591923, 377665710, 95275059, 88351156, 83111314, 517393609, 125360516, 266907728, 971155337, 201948823, 153189381, 71926127, 134493358, 636584340, 18229555, 162091798, 670572871, 774949121, 540472520, 238339364, 824761330, 496437599, 741436943, 515144480, 654880175, 951370196, 222601195, 131655834, 91108166, 38392678, 295705870, 333196877, 872305877, 318667201, 412556089, 797259633, 434088012, 590256236, 781427900, 391680790, 438575783, 876507659, 112118339, 32407553, 414778348, 688324718, 565394764, 503358945, 379803959, 445737035, 158699961, 553418088, 36381714, 136811247, 114807249, 384307988, 730617848, 660183085, 945754243, 742211791, 290023577, 53871094, 456702202, 860380860, 32881012, 742963328, 970191790, 936259215, 739568493, 69753001, 516902012, 523555636, 466801417, 572381845, 909746156, 607276076, 717724532, 611638845, 9390037, 739247198, 275717399, 121299067, 675833988, 187556489, 589005597, 300672851, 821977798, 960984225, 528519287, 74308208, 960733978, 889900956, 76291635, 217703701, 697749479, 531697204, 549463802, 526821484, 879429576, 407783006, 406480901, 856982442, 909410128, 853820393, 717337144, 1975436, 113457691, 286755306, 869984206, 524137002, 778843365, 763002458, 491295412, 415697839, 967851844, 810245591, 908841959, 949246367, 470853482, 912044787, 866944363, 489180706, 579379547, 174655621, 820175163, 310102326, 633354561, 58535443, 896725473, 50128430, 648758461, 682018062, 197970484, 719322875, 393300193, 454457397, 524745418, 857135998, 666126741, 797513895, 419159096, 305893465, 322591995, 876045697, 9157370, 372496841, 840280011, 210469909, 182676048, 441542949, 16531079, 792132339, 660790788, 809033568, 747316805, 596788498, 938943601, 11710585, 172666543, 371104417, 401405815, 848493977, 11219632, 113419791, 137335564, 795189733, 532933347, 237049279, 665890178, 656538553, 564743625, 880515346, 697863932, 501855683, 713821112, 174165014, 127767814, 94262816, 171292462, 684303226, 125756047, 187861073, 184747021, 248728788, 526809937, 618190795, 553105204, 999145087, 314744628, 809276264, 98401548, 699677790, 930731812, 469997495, 94529444, 367087368, 730046634, 954098315, 493464050, 155362161, 14909055, 348899367, 576815533, 610108398, 972585860, 963624864, 525984599, 575282552, 685295240, 746114132, 654218415, 348106966, 4922381, 116323393, 251019558, 640453876, 852015457, 212361977, 839103717, 370915580, 489415512, 701815307, 434533422, 124623127, 327372175, 164241126, 279531892, 374272019, 446672266, 558730870, 596182269, 665917688, 11935636, 823967734, 946872136, 159858919, 485172664, 94774043, 367557802, 978952370, 274205577, 800219796, 154418162, 676578333, 543991831, 635814096, 131449564, 487887037, 484501584, 816020938, 498104948, 41366076, 957076391, 228688971, 393366193, 200226641, 670917542, 396614674, 927959330, 906368036, 354270123, 211450321, 56074952, 473595456, 761747982, 120675608, 644359441, 658367149, 123846268, 28826016, 830081658, 222631555, 812113607, 938445554, 68859909, 896170052, 917660270, 315804298, 960116850, 148108490, 70481713, 372766467, 368455291, 16536038, 906137549, 171733539, 470393834, 19380955, 308469556, 206743893, 66281853, 46223697, 231563193, 390508776, 939182438, 343540245, 875425665, 630664511, 977161203, 24697313, 611331583, 217776154, 752122464, 822409432, 474763640, 406470958, 346832724, 941556521, 251576689, 873718098, 914613524, 922112992, 816721440, 207867327, 682027630, 853923079, 977663951, 234947733, 989961493, 705406231, 819229097, 765647120, 512250713, 484346048, 97138372, 836043942, 797492064, 816103552, 835151401, 53709254, 878472235, 15162040, 822513747, 342990225, 283196973, 368704780, 982599155, 691861406, 44160637, 689123636, 488392953, 739442394, 639203625, 602709379, 601083967, 487668109, 553726289, 228982457, 12781622, 406576517, 136726494, 141610011, 490568773, 678025066, 88789511, 102227886, 606490376, 443784095, 909558772, 467115066, 919793954, 325475519, 170825769, 971543620, 780724273, 730507476, 113617255, 488197897, 631921848, 108011115, 262972314, 195483433, 352433001, 471304983, 16571476, 855604506, 431915080, 857002700, 175380791, 470227214, 954289188, 450472303, 90869012, 53990760, 295339327, 59147350, 920808889, 198219676, 14297271, 181548151, 950448394, 501369842, 688326819, 232845525, 445072087, 252347719, 400838974, 728590523, 200686890, 879921342, 181487716, 757427486, 553698442, 943079564, 907620090, 581796675, 472313640, 882407703, 863863697, 178572111, 712405697, 297564581, 52682896, 860386830, 905416558, 540807989, 337680093, 790898552, 587935348, 544113991, 645261624, 299802296, 149259485, 343034328, 526390823, 408233617, 935906523, 339076508, 755259492, 858861828, 84220229, 890587134, 627352873, 319020556, 116469421, 205789025, 638918908, 515891307, 24363605, 804097411, 630837010, 849865622, 107347396, 902466808, 784128893, 539829700, 451191372, 110862961, 780004212, 459012455, 658269243, 94851582, 496255242, 586555906, 405021132, 252949971, 545820600, 245475968, 875007666, 583706597, 110471429, 72858669, 639464041, 891598252, 656211062, 597519738, 82939104, 300265506, 570124159, 418659655, 449753161, 669346409, 808467153, 880398206, 895019627, 4535942, 265385224, 540624660, 368179372, 519900385, 304265685, 745516468, 149256512, 102284469, 845111962, 873099079, 977390397, 424782363, 154073540, 796310579, 702924834, 136524919, 125172694, 921654476, 49949140, 974865494, 344226052, 294433065, 774046627, 557015847, 867124487, 724849990, 825995453, 798046670, 961070590, 206686022, 569115195, 758154495, 813490932, 87616902, 29040804, 466845567, 715751821, 875011792, 363470491, 903555178, 276215813, 645969929, 30772478, 29865478, 113005018, 874722211, 372614267, 5065640, 958586751, 735277886, 934901137, 420429962, 398790160, 443639130, 875030893, 292523292, 203344541, 296382730, 837142232, 976042022, 79433328, 860629216, 927951820, 137115312, 643448139, 656789271, 137481374, 378362513, 553350394, 444940745, 507714924, 619788588, 743623026, 376223692, 433544897, 769073422, 976764559, 330029808, 441059935, 518760277, 848284148, 327931489, 513552103, 804656234, 801989572, 390421771, 424990758, 479696693, 304837576, 321037983, 920630561, 330470728, 312331798, 877067197, 504523988, 181448149, 305997738, 53381337, 171407377, 185577184, 879406923, 658029648, 193591395, 805301094, 62312627, 659162161, 101624231, 160374514, 534307724, 343502762, 453910470, 14612774, 462071456, 512307534, 853237945, 388663488, 245089204, 537933346, 853255086, 635821329, 893113602, 220085641, 51355022, 735745259, 758882227, 428620855, 685249444, 685220575, 407057570, 568522373, 723566989, 920368268, 645686275, 239782027, 19498212, 66344682, 892944127, 253161072, 173426367, 33017317, 461906955, 461219089, 330463026, 936197757, 559227139, 470602932, 932901662, 838157912, 588909880, 853556782, 219911334, 332886581, 286111018, 995140527, 801111731, 453427221, 114223422, 324331254, 301907602, 939901216, 937704185, 656495405, 477411365, 800542263, 270893168, 109184237, 499120113, 222812294, 740550287, 327587982, 98000374, 231066078, 195511574, 132997763, 419190522, 83958786, 91442593, 391019121, 798120878, 518907373, 814177300, 859541104, 139053105, 256690191, 62692280, 767490785, 767729973, 742825311, 102446961, 347056980, 148347628, 923652001, 136299829, 528897960, 142976183, 263783076, 587763766, 248538485, 489190825, 377939806, 855296556, 957931262, 774533869, 384115004, 827540469, 52884203, 843568095, 877547904, 329275374, 375160261, 426113676, 252282536, 227502799, 436000554, 469912863, 655616109, 506511100, 801207450, 130526307, 725788431, 303893506, 233618122, 480305794, 435037908, 775078976, 234431700, 219064637, 511749224, 962819397, 666455759, 624554934, 987121869, 414687821, 636746845, 747003712, 905392876, 557395787, 158643051, 498868497, 498667802, 833921766, 762418526, 474082018, 443670536, 426368275, 348835650, 494440466, 144679434, 347281357, 745996954, 727317461, 134285580, 372389153, 356087757, 766402239, 870585719, 827922125, 724805724, 340709069, 652278587, 870377283, 848550822, 177383874, 403768702, 269976239, 407226770, 986018437, 407218600, 952942860, 539213778, 667224976, 854504011, 455793167, 550134301, 123397924, 99251561, 142404435, 945732386, 385926344, 498916961, 989825945, 331679357, 155403397, 92127007, 150816802, 718474919, 376352974, 172640866, 349898392, 628597904, 39240242, 179241144, 451211, 932735585, 900332492, 398715614, 370913100, 730681584, 850244695, 469331111, 322172475, 140876990, 395807367, 122030826, 243312225, 332199769, 615092971, 462782050, 881489876, 21278135, 834670763, 640002338, 46625230, 610265494, 706209066, 877090739, 813020842, 512394066, 13779744, 848482323, 521065771, 357050785, 967207883, 143121881, 815604351, 482846556, 391854734, 912290195, 263365135, 369804285, 21131434, 682702216, 214079116, 458851353, 31494661, 49824317, 234137005, 798760213, 204519292, 835034556, 743340726, 925892407, 67436266, 972776810, 466495159, 616943010, 425721915, 7480729, 469834736, 50021837, 206313136, 685059226, 839902880, 327327971, 736641430, 318831489, 219338187, 144583121, 367915659, 945328207, 17301198, 811839862, 674241887, 480136844, 276482132, 432468391, 953201600, 83319820, 65302120, 602959337, 715150627, 81114757, 679203142, 521803047, 107171022, 515290384, 394494585, 933407334, 4338500, 918467718, 571570852, 537434473, 646279758, 40108342, 434957819, 837380009, 49373132, 319319556, 374354261, 545165181, 566141987, 224823559, 273770520, 598989020, 947397532, 417556675, 575825188, 567091465, 728716420, 271720260, 456372962, 444706180, 620806277, 973214828, 95540180, 737934579, 925359380, 102296916, 948916142, 101795493, 556601825, 190300710, 176358334, 785363801, 163177025, 709311667, 782268691, 263388230, 435336765, 870625999, 360855424, 829014816, 548546195, 679107844, 78608279, 262946493, 871856692, 172147795, 149509090, 361331995, 956254705, 148079966, 535704158, 257152287, 231590347, 603880265, 145248038, 995823373, 300655693, 667641156, 975804655, 10806900, 272251333, 962434678, 614807851, 71690717, 793993428, 355082050, 775891158, 414798527, 883894124, 177261331, 541005425, 62945603, 768663941, 44910625, 511843111, 510176737, 689235239, 58674162, 947753274, 768780233, 581057148, 50285626, 111622936, 430410249, 537754492, 361712594, 534803906, 809253345, 155163340, 509697880, 132243138, 997810155, 777305407, 990240764, 405897242, 297608532, 113670143, 476786787, 342887321, 794388103, 182543020, 551469882, 3548620, 109134387, 737779820, 547932506, 680707029, 780359550, 11581821, 275643522, 807295012, 96777814, 204271831, 663546049, 983061819, 274812281, 688307722, 271350054, 472266874, 124699619, 7205993, 309273601, 517597961, 801030326, 893367494, 651634909, 81794384, 775132071, 717723205, 846315318, 689211164, 659095797, 503606401, 934910662, 506407308, 602530302, 316400767, 122567062, 541607689, 192765891, 303636816, 116605176, 876376296, 69965607, 613780723, 279585437, 344498298, 931090463, 797715053, 255271425, 949386622, 703077982, 843209012, 798959607, 897935229, 340392418, 253858089, 230621608, 596355344, 889882022, 475877105, 984413704, 748565788, 475640969, 184150158, 514816680, 194713545, 785267805, 690008396, 162222069, 455487641, 334317282, 49900903, 420992363, 679984037, 190515905, 853167236, 125002452, 786631977, 952780648, 293727641, 493560532, 158792621, 360435144, 231213207, 874231447, 60101927, 374752999, 445286526, 524776305, 454067045, 943589537, 379176159, 504839988, 260562726, 371250385, 280124372, 353739310, 587178908, 827832360, 193425616, 78704579, 765061900, 756955188, 981601564, 759886321, 809691012, 745884990, 591540617, 812761256, 884141116, 885396263, 212149091, 474507725, 418885788, 477545909, 636950437, 51906259, 375827194, 923522353, 114317143, 842679762, 737111465, 369328416, 532716530, 58474709, 521789503, 39654893, 285470103, 327229601, 369214566, 518370716, 263597005, 425379343, 392666773, 883010927, 68943156, 354494557, 72378026, 118355287, 967021693, 487574027, 899675031, 892131423, 847654904, 235797667, 722197906, 386848777, 585543033, 845127096, 462097809, 639581639, 107662184, 307089773, 234482314, 9329745, 91377726, 702007484, 207941280, 193570873, 73339391, 701444318, 350548637, 140285825, 656777964, 14643464, 89317093, 711444855, 60716584, 617880520, 667794581, 13363364, 924657032, 793248652, 432737219, 733798703, 484737389, 99467329, 957036639, 618554275, 395893039, 940858273, 857365386, 145910780, 543474084, 182850117, 206196212, 591106097, 174377014, 196747671, 127542930, 461202959, 619103469, 905604838, 234958075, 314864374, 284302144, 517694999, 561544048, 531156533, 722250229, 16120011, 79197785, 210579133, 369644761, 976034523, 780616536, 781062277, 444558122, 94057753, 123691578, 749385244, 243981627, 705161881, 555836889, 786976080, 860892797, 725147663, 691348887, 655986735, 645887587, 204974993, 719407719, 807595868, 401965981, 59649690, 857089481, 58494494, 592052291, 490115144, 928788912, 135871630, 535912562, 981314265, 657191819, 99858241, 673439947, 174013975, 774807148, 180679407, 644528453, 645796491, 648409826, 378277379, 756190956, 134530974, 319349562, 797378367, 960005709, 807902563, 885626960, 653487719, 366382163, 972697623, 102116335, 365594961, 621723183, 794044455, 820227375, 871577362, 3559901, 333557218, 528902406, 499692321, 807271995, 832392046, 756382701, 454012926, 420467896, 191676943, 149151515, 249139104, 606769484, 837856977, 571285073, 960861027, 142271750, 122913827, 652881911, 661163673, 352207153, 713256838, 975593439, 827635059, 977536924, 652281416, 634987015, 417008757, 588178719, 761218098, 350051161, 975760630, 221700062, 126945178, 445313770, 447461115, 398116718, 806264798, 230043349, 504725817, 15211187, 272886334, 468101167, 978643869, 172927015, 565140902, 313149986, 203449927, 159079521, 186390886, 504518823, 672120318, 259525396, 524223072, 473286234, 609662997, 833403390, 21612987, 760785591, 619830605, 142117573, 659285704, 292258276, 784837229, 166313325, 476089772, 963854405, 639074050, 179644850, 159333373, 119315931, 780165353, 809213579, 630135703, 565164120, 59477542, 575070981, 657950090, 552556012, 140615702, 427131123, 112045950, 579247773, 926332532, 244755224, 172368135, 315379620, 623470225, 578946247, 52285027, 310700394, 98966614, 636306390, 816721440, 755748482, 777048565, 291294415, 597128729, 930182300, 42243943, 610956997, 721938279, 896904420, 520702471, 483534409, 978139698, 802548202, 178691995, 936246653, 298968760, 920764134, 728659339, 733683551, 253243462, 407350299, 546345010, 466616236, 461460709, 391247425, 578847145, 183322456, 857097560, 16790494, 74424992, 245271437, 17228398, 238244540, 129328559, 294192722, 828254175, 790441160, 818338566, 84377515, 778481652, 448400817, 297499064, 646772071, 361533333, 250293295, 691791103, 768470752, 493330653, 303107211, 255989004, 272404891, 95622575, 49656525, 830696774, 879724362, 185607104, 391485723, 782379069, 699845145, 510340619, 871341779, 829014568, 806963775, 161928601, 816654738, 991746858, 781439835, 320345211, 823196713, 991854773, 154883436, 772875805, 718058988, 163074870, 939449467, 466933612, 767266719, 243438984, 584698453, 716592639, 487445640, 482144492, 413704731, 188616791, 716783556, 597372903, 86988156, 994506966, 632716727, 446408764, 356004926, 793239253, 341211116, 559528328, 233274545, 241271422, 709965251, 311289106, 543974177, 859986060, 529504205, 623275046, 295442717, 248695125, 458709201, 773759727, 979922086, 300408428, 666239331, 114250572, 91048221, 751835006, 346550038, 977803293, 177860187, 287052667, 110242590, 96296950, 144768456, 130248636, 772995595, 905675121, 563185628, 593257355, 97405138, 139024057, 862644281, 739425317, 979695352, 617513637, 973535948, 56704895, 386039033, 679862871, 485721730, 123488352, 200172106, 456692555, 878192907, 819914199, 96318837, 898101788, 723605645, 397810098, 812079778, 373564212, 462859085, 633323969, 724293132, 23096476, 221760597, 246350152, 352693268, 522791905, 27010914, 869790678, 635839058, 460263522, 111161151, 446182861, 211242736, 131559873, 384684918, 465218882, 965501218, 290077119, 930770630, 755631630, 802989865, 547231716, 744422618, 648647485, 752100793, 17236646, 336471118, 426091108, 783043392, 381808572, 988024813, 864582294, 720024258, 809892144, 212291155, 400138532, 496765396, 882414945, 32344693, 36282059, 21602677, 453441860, 251084989, 422550438, 771864102, 91267360, 519008492, 948577208, 179031069, 536701982, 698806432, 143774923, 172080681, 334976568, 55417855, 310499046, 367885494, 413630644, 40399684, 733185151, 535236857, 86654415, 553922197, 674798438, 74866915, 248221207, 243600898, 75485330, 99707461, 244252519, 536633278, 708784404, 600577020, 521869998, 391540738, 324282349, 389475826, 364004043, 654962871, 971182203, 894112922, 195518606, 504240016, 768623576, 574031903, 408524585, 911561827, 391633817, 979534592, 266416819, 615988989, 737075049, 390373755, 767122710, 472173302, 150800597, 269701255, 858872148, 697788463, 103968425, 168159251, 844427719, 139932703, 835736917, 187289979, 839965455, 441808158, 889508185, 254789357, 400698017, 71891421, 227749918, 600605955, 748717370, 460672147, 546085187, 532236368, 26252743, 399863286, 289732604, 833763874, 605971882, 808549224, 662321257, 184863408, 648893239, 833078660, 82975107, 35196610, 59860297, 333364288, 872303547, 329586321, 569314984, 227663505, 309303305, 957779058, 795344867, 12925900, 666144228, 922155834, 148177370, 201342735, 476288139, 7031854, 408888148, 907013036, 652498214, 602358953, 540940904, 191477172, 25280335, 668991083, 553333298, 189607418, 995032888, 378994158, 139401343, 631052634, 277823985, 625059721, 146827481, 73021186, 827391694, 872075679, 710675073, 234219925, 457763252, 732344772, 795326225, 247629600, 718086688, 899925356, 891716350, 395918676, 797810623, 852490946, 526682265, 347990402, 129869764, 657513930, 263703597, 160558122, 849834121, 919107216, 342436598, 491692640, 478832393, 386550885, 955230740, 203796205, 424871147, 620993611, 375356715, 509807272, 223555963, 765910020, 983152828, 522238657, 13089880, 923761523, 338995163, 479410912, 752252235, 2930605, 532867784, 233539401, 779392618, 614329619, 244444766, 758098805, 178142614, 748504712, 310236735, 621416437, 161196180, 295424600, 78465427, 278026061, 912628510, 503877017, 954623680, 219268711, 762092222, 851800548, 928961464, 373195061, 51800354, 754523626, 843721335, 933436205, 627751114, 794200578, 903441212, 174664328, 664682447, 289497349, 823386714, 783281589, 113057708, 864423065, 412763543, 207521098, 484938454, 86243355, 268449499, 493053270, 685227052, 352968900, 19584989, 916488253, 130925059, 676848330, 845211025, 909734937, 520997904, 56958998, 536927939, 795004033, 759868152, 188507000, 104917147, 212967737, 833416061, 880062585, 711087419, 607208890, 74940437, 251662724, 128979193, 183250502, 916383159, 673113597, 183681696, 6707130, 421365481, 515266009, 227378217, 902891850, 826572750, 797880091, 798274195, 665276706, 573291964, 285180877, 869445765, 616443699, 438962527, 491072675, 661819443, 585285094, 840706869, 166830189, 27568566, 258653724, 937228914, 796369443, 626966409, 380689209, 876145900, 774750489, 855045348, 394298561, 219231181, 740692470, 714036701, 128692742, 943136202, 521469032, 900632222, 565640828, 490702226, 916209283, 681875496, 576509402, 763051945, 541639496, 690221840, 826847045, 213033656, 433712557, 511408844, 835757091, 830862634, 616715901, 647894450, 253018460, 785009994, 138203799, 478567377, 132954800, 679479087, 812108165, 556259215, 905677377, 70514536, 520818726, 42124574, 344249017, 655227407, 426727621, 687703183, 546854242, 949248839, 76679400, 137127147, 613249789, 32090325, 842555922, 854938371, 456742974, 472711461, 910301352, 17494039, 971099607, 781903596, 939703899, 13668295, 418420814, 915111936, 890427564, 608903686, 274922917, 395916600, 266518982, 193160800, 686134516, 4934087, 873871325, 364835375, 942255870, 103810196, 127047932, 914647193, 225514996, 125409687, 961176530, 732660677, 182790892, 508305747, 891765514, 755132054, 646516886, 56852602, 476686531, 715521789, 801895200, 780995555, 8319291, 773800979, 138905745, 330878154, 529834156, 160341615, 783942148, 501180881, 530287862, 164478505, 936239943, 797284947, 425796239, 439738279, 332851498, 385554511, 791649525, 414023004, 389736969, 667034583, 735867796, 360322653, 773908129, 798960740, 101162576, 867061248, 603514447, 563399637, 861603706, 245621086, 962040668, 862464047, 782130731, 522625452, 233101608, 523437262, 762387393, 637985766, 855688620, 555105530, 206637915, 201629869, 262632872, 639142766, 789073834, 885177783, 807287729, 267682914, 475873735, 571560349, 64562066, 623932509, 725941902, 609294532, 764705297, 545819751, 600273801, 92381224, 404564477, 650729402, 825677453, 976003780, 790750673, 875489760, 275011842, 182173834, 334896168, 711715132, 616444198, 879734695, 755596474, 902362491, 815387761, 356424511, 358882207, 898891966, 856008133, 331745021, 534421919, 212325327, 99372088, 121890446, 56591192, 235744693, 472108438, 271278804, 830807230, 257864147, 520453506, 912453546, 451621316, 420320293, 471580864, 721027712, 277756895, 912424312, 807142615, 162503753, 478020543, 856694318, 657956176, 696275091, 168637067, 754363776, 734843750, 956120814, 745553865, 618305597, 199823583, 784953172, 818522829, 159609422, 625497808, 316207645, 341396133, 173898901, 940977132, 901820382, 672445379, 602260707, 758918771, 561234725, 675001158, 103465814, 661044316, 356610318, 986543195, 815247646, 899940374, 131514168, 207480561, 810495386, 137938233, 984859569, 181719562, 166594144, 999101763, 536356054, 17463023, 392454691, 445401423, 444675125, 509891020, 665655001, 628650677, 129357271, 536835537, 457209883, 35146862, 60110620, 284437669, 195305959, 648433538, 252266066, 892050875, 573916558, 330824328, 892166959, 881112458, 406796489, 945697077, 902266273, 460693762, 884045070, 662159402, 328478335, 1248177, 594477268, 847287420, 571041459, 771798770, 833063738, 419801132, 741769498, 308621134, 262451009, 308911151, 660352203, 226518788, 594914337, 528012489, 948327505, 291570076, 861258017, 882344773, 39051160, 424300126, 151193848, 860398723, 939100507, 382611029, 832840503, 137282800, 232653831, 659596285, 208741380, 575534826, 33718269, 339957113, 842994085, 830688244, 562123042, 813882837, 484217598, 996503768, 987398728, 588304860, 862471291, 997393228, 381257947, 252863559, 692447830, 736464287, 816631428, 306378266, 580754870, 176253070, 137152836, 652188809, 99617498, 491361607, 223481550, 289473908, 100347574, 424294633, 742649437, 765422456, 54167058, 323151546, 37987725, 73136697, 81217285, 855773918, 797476373, 749844484, 379866671, 926815162, 373068195, 109790807, 515141876, 277202614, 445285634, 127171204, 423087774, 822863084, 328939149, 369213663, 166530578, 286408536, 122001861, 368640710, 242962713, 895486392, 436776933, 804825566, 188042806, 96254910, 986479664, 651033524, 650207125, 376130291, 514867560, 506048454, 668762922, 557645339, 710805403, 1103699, 181449518, 301921380, 343188055, 819588591, 212902070, 314560317, 9424462, 511325265, 446086472, 276743915, 225015506, 759077320, 350889884, 649340534, 511460540, 655981613, 663609380, 237436360, 881831209, 533831109, 15135320, 773361623, 354971015, 171082187, 688159225, 288751017, 618313486, 828399581, 985325606, 968135037, 797084929, 504235677, 608971199, 487810617, 610136133, 474308744, 561043892, 973564531, 981405977, 837439081, 418032850, 433382119, 701076151, 509491667, 771028976, 881893754, 822381283, 612664698, 730879069, 647810376, 356971286, 160053814, 596320941, 915994744, 932185887, 49587493, 155598257, 588561585, 63889893, 880179721, 433838762, 118366972, 851398535, 637150246, 421024674, 589546543, 566389937, 6633140, 453472938, 539074437, 368841425, 61818664, 884788174, 908159330, 185921272, 190732469, 62636819, 971682128, 124374294, 481202196, 532447590, 617672755, 699283026, 264461370, 163161795, 536418728, 628418839, 639258714, 118480522, 92393487, 723326704, 6786929, 499814287, 471468729, 540025398, 191713673, 237745402, 7991692, 46970927, 905027296, 905371604, 148745463, 43815164, 248537076, 332647971, 951178858, 995341494, 37921885, 143108352, 829733581, 421828191, 163971748, 125282777, 347257600, 322445671, 93219878, 268928691, 137877126, 688491495, 211205015, 946306250, 485584653, 391613037, 156612330, 105795440, 646890414, 130950670, 50543037, 204771351, 423915439, 797608962, 134894474, 496343966, 852625485, 23268936, 927432177, 755482955, 324184451, 333428372, 926591810, 807662764, 887403107, 545517452, 206003931, 316697958, 187706045, 939425354, 671760577, 847383851, 59137286, 765944096, 497521245, 367516537, 182365669, 905508875, 788443869, 96755286, 91525342, 80501025, 242993415, 93908430, 739969214, 674996260, 617578067, 809821829, 650663596, 484439953, 347348739, 768638889, 762090309, 719589097, 278180042, 743462557, 141647820, 501434997, 985967491, 580765927, 981872683, 204381930, 811918865, 628051570, 42179359, 137102114, 189986771, 794204313, 700471405, 316568221, 715331730, 899045531, 88015147, 609625938, 800099667, 713220323, 683633379, 375989977, 363448300, 852819871, 42419935, 141372385, 727777359, 234542857, 186757723, 168731013, 854307705, 931509374, 379142996, 323726928, 989790132, 308290010, 849169924, 481571466, 892874614, 245273713, 318020179, 674304257, 538118293, 558466547, 480923321, 626649346, 75839825, 978205247, 534201063, 619764962, 802183118, 368001961, 359154917, 938450882, 153932572, 969140709, 445882300, 336787966, 26458254, 953062561, 774838684, 625192122, 391025461, 978246587, 110078681, 804769134, 28718756, 133113959, 367393718, 782742916, 851398438, 29073407, 849924062, 917887145, 785786360, 318559820, 506989195, 224356348, 649408952, 424972615, 525723330, 513667636, 735137676, 998083528, 659217859, 408333123, 323715719, 69180730, 705443423, 653416224, 789994820, 565674993, 821686206, 429878819, 70349811, 460469361, 553789945, 489512984, 806145540, 386250386, 169880439, 747244464, 97839102, 893579038, 786762100, 990421845, 56014953, 844874722, 493382460, 37454683, 78670257, 441608721, 783765385, 986706102, 76454055, 820905164, 995695108, 332304737, 661094984, 355826979, 807888301, 585956062, 396735721, 792927421, 510675130, 51275248, 293387043, 32674467, 568317053, 997100827, 97620321, 63233533, 315382832, 671364718, 867976285, 234380574, 196830605, 230412063, 262097759, 271702042, 953723548, 367517739, 531799284, 373113809, 27894279, 15801513, 405091962, 611678010, 165862228, 821776595, 328990122, 52660598, 775270368, 409813699, 534859533, 708706750, 934563972, 82603808, 15133790, 597778323, 861694670, 709156291, 764412958, 671352217, 801822213, 469672824, 780227467, 926492848, 96664752, 629060807, 989701283, 183103103, 921657810, 998316310, 126741504, 149175403, 556405661, 576135998, 791521836, 996962060, 278406980, 306893620, 495661410, 572350485, 978170624, 766824932, 977001120, 91145224, 637378199, 356912348, 678421392, 280730531, 518573469, 812006476, 746786660, 223077681, 226039457, 449954960, 860876488, 857523748, 211948271, 638281598, 996774605, 768016347, 364888746, 89778755, 93459379, 147803200, 59498766, 90103100, 895785640, 835546595, 596507885, 469789432, 436333088, 13515465, 23149870, 257849151, 334159039, 162801240, 293369863, 579020470, 562488036, 932348118, 247750629, 89321391, 602347555, 512407001, 547459831, 117020079, 508355445, 777911474, 117837629, 244528978, 324682794, 373268979, 49854769, 489530303, 914723331, 953494865, 458840495, 300861627, 829288652, 695132910, 649633463, 111575188, 263752670, 315166736, 209458725, 278684041, 601706487, 956025358, 10727204, 467097086, 644017055, 763488785, 515266080, 246025191, 899091594, 3738487, 974739917, 118347406, 5800269, 386137711, 637717304, 908236878, 976446296, 971077351, 801337355, 753414777, 434108784, 59720306, 919054084, 582472901, 261255031, 55931310, 156987335, 745308173, 118444641, 789235761, 135061872, 581599069, 887289800, 128752306, 220194953, 759227246, 180345504, 208415813, 894274447, 294791668, 188802528, 216173502, 459494631, 54830372, 777524638, 902372978, 522621561, 249563693, 263596190, 292143581, 759920934, 860708814, 918074885, 735196943, 357682324, 301449004, 631801535, 161529368, 947829401, 500885443, 34482715, 591961159, 424459373, 607519439, 551221579, 636635697, 564963295, 345817413, 184999660, 361207779, 628336713, 879600209, 526763986, 621373276, 783516735, 951075997, 599654573, 227254972, 736746047, 44147050, 494064713, 262711274, 145013306, 577811410, 557802000, 183112717, 257719732, 892764035, 945179367, 370248083, 792824279, 47346647, 40280827, 90904695, 849453399, 771790415, 792332684, 491510568, 195136096, 943776074, 308127539, 472497984, 859630624, 737281499, 629433717, 881378836, 368874568, 903179528, 299943158, 332132978, 174373201, 520871122, 742803018, 842334851, 115737855, 617494609, 96374133, 285855153, 147402444, 822940626, 565408179, 437190215, 714670396, 196099160, 643731571, 786330918, 540788410, 530690290, 609393236, 401895709, 218575767, 555734150, 725986740, 817723691, 395012371, 761638521, 340997989, 958744273, 257870508, 993334909, 93723055, 270867521, 714445982, 270053618, 970320863, 195625385, 8762629, 724423602, 581137281, 353744754, 609347862, 192314514, 911345588, 761318548, 944955624, 483009507, 702505002, 590910864, 85491915, 184169878, 425952042, 605348992, 913175082, 12952999, 643536107, 131438677, 284040713, 953505566, 364522135, 842705601, 780121833, 756930541, 86801448, 633514902, 520770822, 465707657, 726974508, 122745830, 246267790, 910311665, 222589619, 207792722, 382383720, 761203130, 824610515, 714059231, 182877716, 899090314, 140222348, 414710949, 906099114, 532952399, 704381893, 950060422, 932170433, 437843112, 286819311, 233681117, 104144656, 240475947, 480419368, 954422521, 926642689, 912221275, 580593354, 331814545, 766617163, 993769254, 865502380, 180604774, 489933539, 424783024, 318073629, 815704791, 166909235, 190115599, 719148202, 692511164, 91922100, 248376364, 314472117, 558044155, 327072850, 201419685, 721496173, 740620316, 492247143, 408886561, 620725595, 985727458, 26311209, 757817502, 825601017, 111461838, 374533912, 992348710, 363077426, 945249365, 32836275, 566419117, 460803059, 735600974, 90478259, 560790458, 191882737, 350407949, 11804719, 135619204, 942757582, 815892470, 4537934, 66725409, 974873117, 710156323, 30015365, 542824226, 905911808, 317123249, 482563414, 60350217, 94672854, 728945030, 15412376, 373037033, 557502714, 831607417, 600707723, 874460316, 195929260, 294435024, 385980942, 900229392, 971112358, 937159887, 536216921, 757082019, 430723652, 969312622, 143423698, 6081719, 275341105, 92120724, 96795000, 935427257, 674972764, 798065588, 510562755, 83319993, 432388979, 53424438, 810311927, 675079661, 370580978, 365243105, 87732583, 2882255, 17771025, 742973988, 336610435, 127748894, 744594067, 140101965, 717267447, 414710433, 656219456, 201041005, 366131947, 824828229, 395382018, 573557049, 512768501, 945970728, 183879823, 527766009, 524070383, 467319246, 979173261, 23885322, 525320798, 395508976, 729034913, 533754066, 527912820, 374303513, 870552722, 408544893, 150994149, 348130103, 825040851, 687586118, 174072632, 313990236, 195506512, 818399079, 589998819, 836793423, 748759435, 384107578, 41136448, 346176412, 337396409, 276159194, 389110244, 584728006, 805391126, 170446223, 34294827, 369682096, 729509318, 592566414, 208080800, 361228440, 815015717, 47873658, 715633554, 529311783, 864597513, 87860861, 903871407, 312167924, 591519727, 235043341, 302380072, 391789708, 168494676, 1125174, 815827735, 650137046, 204107518, 551473510, 632027968, 353466026, 868788858, 713144948, 67511840, 823725057, 168146451, 77268905, 867156366, 415530936, 939534991, 936154520, 948180741, 88895648, 177809060, 491928369, 396964091, 546372196, 24582472, 561250221, 694596976, 447580062, 789100619, 707258400, 929826276, 606470092, 608215378, 6308158, 68569088, 888053888, 156055316, 888733310, 475399663, 171045534, 300667620, 994529895, 138018895, 890463666, 773386457, 816633221, 696370375, 143285925, 157021355, 930704158, 619143769, 436889949, 722619719, 356928571, 877005245, 431523799, 324621358, 778427551, 835352926, 449918360, 243657341, 342203357, 492959422, 927252971, 381402047, 639839692, 626847995, 284409679, 440971926, 351819459, 111091505, 778249399, 416933197, 732480196, 400298058, 649842485, 257485809, 544242353, 190674034, 397225084, 897776740, 531640999, 552442542, 481982051, 488199327, 723564743, 903706625, 554514669, 440746721, 840770824, 579550990, 372251541, 546363460, 182759234, 292920219, 168658082, 11635852, 677847836, 875591147, 946046711, 757928682, 262633201, 723803348, 957109494, 601843109, 446028009, 689313484, 53065876, 474245439, 742292792, 501705683, 640672328, 961960200, 776363489, 25868408, 247369817, 438106492, 148110044, 25406683, 434421740, 474567156, 517417407, 227836, 216571535, 696060875, 819932690, 438409551, 746612633, 714960360, 258043373, 919725359, 244736164, 144004721, 633854018, 699910831, 119285341, 180305344, 182637091, 537144892, 732604112, 824261122, 136882175, 53047690, 626957740, 512340722, 669531673, 98616653, 210022699, 211040046, 407852366, 724787426, 581357436, 279503755, 7213190, 819991786, 95057338, 771874576, 917473337, 379639651, 431340517, 306459586, 215332780, 631614278, 139797082, 960076907, 754370246, 939794091, 702083533, 404923056, 240200652, 923833375, 592841415, 819948805, 769888636, 378152077, 185106724, 989314092, 625828513, 675863223, 823031507, 268353287, 73884878, 953170080, 105633529, 741159998, 557591044, 23929579, 710033153, 613426099, 191282792, 533152297, 772016202, 625634691, 352459930, 900988511, 844431327, 575958148, 289419900, 125159341, 585345210, 781212033, 283721180, 709662586, 592516046, 259839910, 978333831, 121022906, 286340168, 550891493, 591590552, 101237116, 24268324, 10045797, 144525647, 658333731, 437278351, 27314616, 802462076, 136969380, 45885227, 862572373, 230832822, 960812929, 639468122, 903590456, 570465451, 683686441, 839882516, 595832832, 710235814, 384168315, 956496436, 141133164, 783082777, 35211483, 200633374, 366713864, 215441694, 48580313, 403181808, 386598503, 42310998, 56810066, 227683136, 234402523, 179292812, 479170291, 736932756, 110998376, 330726133, 906871892, 397970878, 204322857, 305970720, 41379210, 294628506, 565289032, 858840491, 668993350, 104598740, 794296366, 700715468, 39854651, 169178891, 503368036, 253508405, 723804855, 53877247, 618359392, 679618434, 959000129, 796676250, 616441601, 380456098, 82737501, 800931696, 774965111, 848386829, 49951585, 356232259, 636739347, 164318676, 843507507, 355422071, 840127160, 737760200, 984928607, 147000171, 383722448, 416221705, 93833318, 655644823, 728355826, 214411038, 123529275, 846141340, 522229601, 393672550, 228622325, 731490197, 320845602, 704405900, 310560228, 998252763, 407741942, 65234895, 543383712, 514928762, 330954029, 90681486, 812138819, 327564962, 517940684, 606094386, 937740654, 455703340, 117706005, 151586059, 432987679, 420695420, 457633301, 711436949, 170142163, 989614554, 206091841, 127358526, 494671184, 709167715, 518821783, 713895580, 517932413, 751629723, 14926485, 869126154, 451883048, 100194099, 595693740, 871918228, 515739778, 731979985, 659152008, 525733438, 449980730, 50814764, 298216209, 226245251, 855290571, 674061694, 552292212, 82903996, 912274521, 811961074, 385351695, 753196216, 352466203, 901336790, 432012590, 221556139, 921033563, 755684400, 970328114, 519947152, 594898594, 784739163, 916113861, 196890368, 874585276, 617083802, 136557470, 649643861, 506964787, 46494554, 584934542, 77488200, 691453480, 239519828, 567097581, 808809062, 143195141, 832596247, 158253340, 996669953, 690183733, 164033892, 865042060, 173848081, 798445170, 832175568, 575126593, 371187161, 363348582, 972273077, 720235957, 392749507, 844564348, 769089509, 54158992, 138218950, 165070803, 693164461, 669468457, 616041694, 365307097, 452360166, 638255383, 435915982, 328306648, 618910800, 438320222, 566293061, 754991206, 199151950, 797707559, 356180326, 673687925, 834897342, 582677295, 532159549, 119448085, 68534757, 29114738, 528989674, 154092751, 981364903, 692892188, 557927055, 448564024, 784320594, 325572738, 530733979, 893751785, 786660502, 887240991, 844465255, 830618084, 4133678, 336514461, 628770578, 121278207, 566279062, 707093197, 256544382, 765169177, 871635194, 134013847, 898968454, 720336127, 503288047, 649328999, 275274301, 2777535, 433077531, 683015843, 659795675, 365215316, 96818206, 563947964, 414776342, 950440447, 406354468, 43603539, 910312622, 956299967, 934984104, 14717383, 746109779, 871782930, 525852313, 7229394, 541006536, 51853530, 113144863, 568738518, 690780040, 540953882, 244161804, 855634032, 486703147, 51814560, 82044715, 207986727, 124733813, 742357651, 959696328, 370914044, 406776525, 717694801, 450656530, 888410334, 805122350, 697014077, 329782798, 684066919, 744218380, 814546367, 326148986, 195420251, 268634400, 364312180, 418921466, 684810830, 882274919, 781018305, 628920467, 505292968, 54629407, 876854453, 675111157, 469693007, 940610723, 739938313, 285394510, 242535789, 689780335, 264834821, 59743076, 212892685, 494928477, 865121847, 114047745, 254717231, 736146020, 661752033, 538350061, 372502980, 28632108, 966959836, 469731158, 433485816, 676208333, 975349879, 853529361, 316746099, 917989091, 307934617, 913047788, 362531365, 9828214, 290132343, 28582016, 224186148, 692153206, 306229690, 886303777, 955012482, 768677985, 895677810, 524921679, 380192594, 787723361, 298067355, 679081312, 469110918, 754854639, 81924332, 718435084, 767078915, 896919813, 450236868, 921995588, 390246105, 107594349, 840250913, 430040452, 245551671, 790237672, 972188732, 905410192, 283588289, 76319427, 1953829, 984690188, 819048049, 234285583, 898805323, 166827536, 332757137, 372170547, 600196656, 884261314, 757000396, 816198634, 643293044, 368797728, 633368306, 676992131, 725442443, 278664049, 307451753, 60450184, 973273397, 586303062, 530243954, 826090480, 164023723, 292089605, 313173090, 759788145, 366966130, 351128173, 993446006, 867727350, 310504024, 821484748, 958661318, 982167731, 174182212, 895826212, 367206230, 51714324, 172497868, 88526265, 107560657, 499971790, 835569259, 75379328, 680953683, 248855453, 663252792, 334756094, 471370845, 919919507, 203137975, 837591398, 605821711, 295761375, 870390476, 454047899, 86875071, 501959246, 595614486, 871257144, 805244777, 686602375, 97402119, 213617708, 17962089, 397271141, 801498154, 10088796, 864452088, 941186551, 220987649, 751093228, 180103596, 15259901, 394860076, 492181443, 779818980, 551816743, 792097912, 371675781, 118800304, 971046353, 578787355, 745283687, 898838230, 929609563, 628563182, 244525589, 612009433, 531126330, 735432436, 634427210, 30904382, 47012917, 415143815, 892900063, 727841477, 97507326, 603893349, 344392185, 765021468, 325826386, 755141794, 775295804, 524954649, 814806360, 54875433, 413900528, 242145815, 588076475, 949067839, 165105209, 382965679, 614790819, 167258856, 509033375, 144033288, 257385547, 907383813, 202420016, 828423000, 823520598, 876569297, 605380333, 79087835, 357294120, 334628033, 807523102, 565769518, 671090412, 71000886, 772062012, 535036235, 26492858, 694418796, 847204233, 761383800, 658251286, 884397048, 570100108, 752880756, 51160484, 127662325, 649289147, 191834925, 135718296, 474759814, 875561012, 138729188, 484268089, 766030120, 839443707, 589601561, 923864260, 657757261, 736170722, 23929549, 104837711, 736243232, 599807247, 279468157, 51308054, 923129622, 958712770, 504817706, 119846292, 89664579, 277358290, 362354448, 121931789, 443824432, 917282732, 744924466, 643658702, 814190511, 328840532, 666485050, 264996913, 176466371, 559255632, 233449185, 26643086, 701586001, 422484058, 949446166, 205146853, 344927748, 856310311, 741603644, 63541304, 285784266, 185708516, 151763083, 533092041, 960411189, 164387900, 142035599, 370939951, 736225597, 313181333, 18441862, 11638378, 892655906, 930712841, 836360315, 980769074, 64374548, 731066359, 31228323, 559893625, 230809421, 308917897, 604645639, 124448451, 949392808, 141783310, 351591175, 733660387, 980693741, 256134743, 918910640, 585764265, 477282286, 834303212, 632914647, 561443753, 629849802, 70104236, 635707874, 328049098, 437909819, 471459916, 761010643, 494592543, 388747507, 138615446, 558960602, 198100558, 886585961, 706134888, 200849171, 607349207, 719832002, 331626448, 829291681, 781569256, 953458818, 491000641, 842469982, 518990874, 162684443, 257859904, 623916918, 324098278, 536872015, 84024176, 720646416, 279532184, 420780377, 566142365, 515336408, 248690810, 843833991, 730656414, 61347566, 736819667, 743262351, 706607147, 645240870, 293782234, 713981832, 350674321, 43867152, 91788976, 60521529, 978587899, 408565530, 409814186, 958029339, 703428576, 501501339, 983605731, 849950009, 135022010, 742191812, 161869299, 574559176, 539217270, 916707070, 614912838, 966594606, 532483655, 990205272, 92525681, 451063482, 851857001, 89026378, 256829322, 152545709, 355442299, 423122508, 155275014, 7791950, 809646393, 601402222, 399442556, 443912113, 360839500, 425879213, 334758001, 778866261, 493430435, 557843589, 217592053, 112139442, 993512353, 560733302, 467387059, 400760436, 810582945, 637234760, 793921464, 957269548, 43643240, 370281577, 116203127, 636985677, 123688593, 946653773, 118631620, 911671814, 822988245, 160779321, 206506209, 933787411, 987354859, 441180683, 197235128, 630115926, 954937313, 142541167, 74316008, 645592813, 613118778, 80097437, 489049881, 526865403, 178436918, 279998435, 193369089, 43713251, 130108845, 573699291, 660881097, 903952780, 386140115, 943780511, 832435772, 736077324, 589294049, 348866736, 229378043, 662842259, 208250449, 249592652, 524166960, 517935951, 181437462, 266321615, 647114967, 145665211, 700199349, 128102439, 272020345, 188660775, 578868813, 475635983, 415227190, 433636699, 446890070, 822714733, 360183442, 993794886, 286369680, 757584438, 337765081, 587652394, 793501906, 799225912, 646786255, 803090175, 969713399, 390345449, 482133, 238008343, 444033664, 818287798, 188978431, 745776578, 553807645, 258760999, 118370225, 454886459, 998702080, 826135020, 634591522, 776445064, 898460379, 550066816, 716682940, 58562328, 536554566, 973304634, 744914493, 527091284, 893806021, 176029763, 244340391, 931318909, 318996332, 438145314, 890309255, 781108666, 135078703, 830021614, 593111200, 119230352, 994499987, 988228680, 430298614, 30775265, 653131574, 902368065, 202051908, 951682357, 666790868, 414004266, 820575465, 387630233, 733445403, 941329274, 990255179, 930129593, 902782929, 888496984, 732366859, 334497578, 280315454, 224705134, 518870039, 462684997, 701195466, 431276433, 354954237, 332528989, 526701758, 222039935, 212732021, 541677431, 893390045, 953929262, 924633831, 752552177, 619748582, 523090904, 592575439, 306502796, 56021950, 433915458, 660976403, 867521482, 694443500, 604988036, 81875217, 321296141, 275087944, 854011115, 700168114, 984834563, 356409692, 362492789, 634664659, 521115103, 942600023, 584087876, 834181628, 430578483, 575738974, 637671077, 469827815, 689813572, 90265612, 481492625, 85732439, 65939351, 311646556, 106689191, 827244654, 682942666, 234034547, 496114354, 315421004, 537725124, 81658901, 361132316, 73259857, 34373783, 36962648, 18311780, 48928871, 99460691, 243332212, 433216654, 635715607, 338782311, 148090685, 829871319, 616434423, 691615996, 728415765, 164752684, 109533794, 54034445, 878822487, 281563669, 102322265, 173504882, 805957446, 253081691, 154028298, 908251098, 151048198, 770558055, 394323931, 711870788, 400767929, 273529888, 364710894, 186720063, 203903383, 764083177, 951489458, 830766614, 481194371, 14621108, 526954309, 774921399, 72318616, 413726201, 842830643, 375469294, 13298591, 454712912, 764834303, 788508992, 252635712, 40810356, 602998310, 212062367, 719478248, 202406736, 84058777, 419072272, 919686461, 719472718, 942226558, 848998623, 471110957, 726226044, 585560562, 248926452, 287946280, 781111867, 439378031, 435327629, 458393081, 345388581, 764055753, 635346153, 995493057, 999318935, 166202898, 146460462, 547866916, 314008766, 575125012, 526199502, 100729003, 802542174, 227292368, 163373902, 789181259, 784936329, 582074407, 916913627, 388305321, 964550089, 879746359, 296360677, 48880930, 475063773, 806723686, 367761152, 734352311, 547827477, 93985803, 407018146, 350793919, 800042370, 875703632, 439618456, 906493131, 865901709, 181822384, 658364560, 572982154, 113833042, 917276090, 11693876, 214673957, 311293959, 619493371, 743840433, 178396345, 892215163, 65350740, 198446589, 839043754, 947404763, 705184818, 322265786, 611095208, 678771279, 762685184, 290268075, 858188852, 417274545, 666896508, 651035059, 431098723, 267975097, 700798166, 125297468, 679727043, 697366672, 671617066, 457340217, 801557146, 422118165, 586395874, 446228698, 806908570, 750017207, 693706900, 361580499, 485516320, 44724990, 533049460, 805446622, 16109379, 294797176, 450488698, 258496215, 742998251, 357327876, 488470035, 53932170, 733579744, 375616907, 494933166, 253705259, 316142911, 816123300, 863435092, 946349868, 207739213, 235122677, 345149888, 446498795, 64894442, 406750353, 204166487, 121632622, 610367127, 468610515, 938747853, 624565440, 737699201, 39908753, 342937293, 388778217, 891700802, 912726805, 338990470, 300781589, 535591469, 60283705, 400840888, 40615297, 676360606, 110419657, 283476080, 470854247, 930549360, 545573195, 676024003, 834939919, 496803786, 744460140, 334970456, 725902053, 205588448, 692409843, 715708029, 145765591, 640164725, 209049938, 892547168, 372374694, 782087313, 459908562, 927800101, 519926632, 449367535, 475777040, 814154568, 159565715, 93717517, 398196853, 648027168, 230889678, 555019749, 614878567, 24179258, 530307841, 401940222, 40096179, 58544007, 175241394, 508696777, 733975223, 739506865, 63101122, 660868076, 815425855, 553439443, 741662991, 49367310, 973353871, 736294270, 573625999, 143745089, 167239276, 299383102, 691299085, 308585450, 113098141, 342485849, 610543863, 386861278, 768309757, 367149525, 431876488, 155199268, 453006603, 839647272, 637890308, 916920232, 524915412, 893376600, 625749130, 987669124, 877942382, 708176307, 163331506, 844411659, 636495281, 381084681, 836225143, 729974134, 268402178, 622649171, 395847654, 801204711, 613592121, 38963756, 711407077, 635772023, 112423862, 608481177, 227299789, 264324762, 499526228, 593920388, 552608969, 250193284, 189675826, 851581719, 305132085, 364595305, 385995094, 541906033, 720286621, 846265824, 660604601, 563943647, 142319697, 489304840, 336206377, 875571355, 166225042, 863450759, 321918575, 739441737, 385359384, 438148633, 540649135, 949890102, 505526412, 220230922, 563877759, 592002549, 806625451, 181168378, 459373761, 217738991, 65103285, 934432451, 657638050, 438468108, 582302514, 567301915, 234851119, 377904102, 303827571, 4439966, 665885741, 393264566, 760126680, 993792681, 202067685, 220013635, 260253126, 17126522, 599289121, 286522304, 459392316, 392303278, 466967180, 168397669, 861944715, 586002736, 963080404, 165018139, 77427952, 399668067, 51565447, 831601194, 19374143, 221980898, 365447168, 953070310, 943440277, 39255069, 700518809, 565266721, 588521731, 392928183, 545733900, 37067529, 278300397, 365947218, 6414400, 17322264, 710992824, 938712028, 672659040, 390046505, 630681429, 855799997, 492270589, 710250378, 358252438, 902747750, 963508836, 184212592, 208187661, 622493648, 876961865, 190279506, 444931092, 3569175, 426657486, 521857654, 553241548, 912453445, 986283270, 411663500, 308519804, 714484290, 291860157, 902550831, 180218607, 936211190, 172163521, 125194202, 691828937, 825638546, 187602245, 885840895, 683826283, 928031406, 409512059, 779798711, 887948398, 317401364, 900813319, 100453837, 692534248, 220363263, 503959144, 650049882, 467929218, 17090900, 687598231, 282930285, 327684814, 718787869, 283522129, 508547076, 666664349, 483427660, 675148315, 559771911, 950674160, 305304092, 248285395, 20846614, 277863253, 80540330, 113553152, 479105288, 164243247, 711528688, 149515993, 61327079, 851292848, 613958905, 11822622, 279781806, 4678630, 542162722, 203409494, 439859533, 152669029, 536542770, 497359022, 340902631, 933938399, 931731480, 484999951, 177895770, 358157400, 952745828, 503469208, 299227383, 641598932, 698755356, 312496985, 926820703, 24415843, 522048737, 185409199, 754573385, 801093688, 311039048, 275638742, 734159497, 447299729, 467890320, 924539263, 585246723, 364037368, 587482678, 145386396, 578291396, 647802789, 718212635, 491798369, 699884659, 223265082, 114290775, 808657812, 914366379, 285083303, 633830080, 391323301, 317844762, 137910128, 7429141, 157169514, 553396773, 926951609, 407660907, 229914916, 424037404, 474239163, 135894910, 378560755, 431621856, 244496301, 408886082, 945790534, 143994822, 773243772, 784665997, 362944750, 98682425, 478578304, 136772375, 505509732, 361937893, 427394957, 563260755, 785897782, 394268122, 978402286, 872602058, 418918655, 620525200, 521745199, 273641193, 458654650, 153242581, 175385535, 737491509, 962774637, 64578567, 21809593, 280397988, 413964542, 251878004, 615720468, 358993063, 284589062, 270427074, 834280022, 1667835, 188729218, 606363219, 939840313, 151686391, 581105088, 807374800, 697366784, 834634790, 359724875, 20786639, 678237904, 650350580, 573539131, 757913914, 365119059, 165928424, 874006212, 798655700, 541045081, 337959908, 488762174, 591086912, 617240359, 899783908, 491605222, 772119427, 359591326, 350002738, 257632258, 966417521, 206887571, 696443034, 111278204, 166917297, 73854553, 172680019, 665494600, 632976158, 522167320, 793650033, 742275607, 870886325, 397284944, 723803107, 469315497, 872750341, 582366362, 241910306, 353221975, 463260500, 881109507, 12700500, 913640, 628635474, 305054978, 934325647, 562135430, 650292256, 682118248, 252113498, 929083330, 426136197, 729623682, 459776616, 642927591, 551617976, 213600611, 458374999, 366640695, 320649836, 836431204, 356274160, 439016711, 271513484, 57669468, 761676005, 46953832, 264371353, 517646572, 831585319, 282734509, 345134425, 847115765, 429363979, 927528575, 441424050, 162982009, 582053405, 337212788, 705211157, 603568638, 97459067, 953378280, 25312497, 734596284, 688505591, 851324149, 476896744, 990513270, 914231009, 356709206, 9278054, 408302009, 116508763, 371947152, 327254934, 82241609, 815473704, 143596533, 902266859, 839183299, 686883965, 977878133, 63228038, 95837940, 542544385, 202025370, 854343637, 825793945, 937278935, 208290561, 26974805, 677822455, 463277909, 116781879, 989468501, 632889397, 739206824, 664915879, 149955813, 164494161, 747275848, 936841443, 603515041, 536066120, 10421781, 167083599, 35412506, 33242408, 929066787, 35660746, 825964745, 607902800, 395003602, 8139386, 935735775, 28152108, 202403018, 769008167, 341234395, 577562075, 431018016, 99671317, 595015312, 251888544, 582933340, 79424393, 8788042, 745787096, 280692533, 473429334, 175912819, 513350572, 137878443, 798448076, 594792063, 846429834, 697773027, 818778652, 239656537, 795844325, 69307893, 212637005, 75173913, 196026865, 154086791, 426260476, 380781993, 367348334, 386244551, 979019491, 121723269, 289179090, 981481979, 838403266, 317804760, 978431305, 950888140, 997845673, 331729542, 971601254, 926816436, 782626720, 361075449, 237442275, 879591311, 13356060, 869446643, 334157967, 883555050, 851515175, 15079629, 736782271, 548480422, 249371393, 208874941, 599798492, 901145587, 52973619, 492114761, 385774916, 217316340, 696740397, 276889089, 152616198, 877758806, 549934384, 188455903, 642080798, 219991040, 715777999, 324484559, 807892431, 781860050, 272566717, 813749847, 117540227, 837760263, 646903740, 857892920, 829504824, 589670208, 368781825, 615757027, 949588867, 360461699, 72031325, 175071235, 393354655, 349895705, 267374205, 242204920, 711657173, 167596278, 534048617, 527841972, 539278104, 815988177, 881077964, 183174397, 314990768, 203521435, 75687153, 137483867, 539371622, 689403412, 341515902, 225654106, 395790815, 716285311, 388020625, 136865294, 794529970, 913532407, 432384515, 323235970, 117410198, 607063512, 111306202, 948501775, 253343278, 105270065, 329977329, 946314966, 377140068, 176906451, 454563089, 152453444, 525209700, 979993293, 697795660, 619981965, 72063258, 85691948, 267533130, 741186707, 622860633, 722619944, 293332405, 848161794, 828693988, 106851003, 915102470, 149375872, 449510186, 555687046, 906783505, 267980869, 14205151, 207369613, 225547270, 270254217, 974492995, 877655412, 523758970, 118926846, 383875423, 496333812, 902617734, 754108699, 512053625, 2035823, 358904331, 178407189, 129415016, 342355721, 738169600, 777916963, 395036161, 274616174, 839485442, 407126529, 906159071, 882883299, 828611228, 645665906, 458216734, 195112314, 175015070, 116139245, 183303699, 480343661, 804870296, 520428672, 559753721, 416246747, 359414214, 260247578, 717121252, 226905555, 980112034, 864360083, 584812408, 123589901, 893186020, 281301078, 299846521, 193467716, 33177185, 408979455, 922251965, 559373432, 113287777, 80633071, 504990024, 847140235, 607989342, 181157719, 26048543, 164041767, 380902168, 138201298, 557549945, 223731087, 269258919, 816638917, 885401511, 754565368, 436659607, 291066919, 145741757, 961277049, 380354473, 308183656, 342541957, 910061103, 418486209, 980576415, 35525516, 800014245, 161965776, 86078841, 893298894, 994979910, 157609178, 151394215, 548461989, 978690411, 38012077, 238930263, 511194983, 197747026, 232042700, 178802259, 916058108, 41556938, 721360653, 839961508, 252084545, 760390706, 758003621, 886766524, 828985735, 830062769, 656040165, 868860344, 51010246, 437516428, 517487845, 388208155, 595427375, 867967596, 204162909, 102896991, 525765314, 50219312, 420449105, 693356091, 473523505, 601239628, 353170848, 388864723, 999649892, 768389739, 533299773, 917155856, 174288340, 584527240, 747917015, 73150528, 627543555, 203775628, 209746035, 244612781, 876234706, 601531873, 999348736, 904760577, 895774028, 93357328, 609600389, 624753981, 478492283, 898338575, 114527986, 358948905, 893734356, 332479109, 461385452, 716952785, 395179355, 496664423, 794767583, 237628512, 640585324, 563471572, 437190996, 405506052, 895330092, 356389936, 583977718, 810304098, 746667083, 122459232, 243236230, 553774828, 959601913, 388345857, 929498248, 500463763, 378487467, 793079972, 942187788, 62933738, 958026540, 887678434, 636779266, 260494035, 804844177, 423036465, 662784359, 730793990, 38091930, 10535793, 615670302, 705970924, 783756237, 162614373, 94517383, 96023814, 214187766, 558384162, 733949455, 650184246, 459975260, 590075774, 884394385, 445727756, 148469720, 858559774, 98360516, 215252418, 573310952, 117066296, 969111462, 689609529, 161852448, 684784608, 906920449, 833658598, 536096596, 522244270, 459035476, 321299872, 205064247, 574647572, 119849120, 855899529, 669794822, 500864876, 612614967, 564615427, 619029242, 537581145, 450183856, 576549130, 952084169, 761362544, 174971814, 653749380, 355312683, 629732380, 118581486, 934854342, 669451054, 636154079, 946354387, 677968894, 577377799, 977654735, 926139226, 458957062, 462480882, 508306527, 301656194, 938212680, 596922786, 319475923, 168680404, 116673983, 833563711, 91963659, 432878428, 55308345, 729964953, 2605984, 36813072, 184224502, 368815443, 953443104, 146224318, 633089317, 929984544, 435541419, 191571073, 965089204, 964785890, 786750942, 788423018, 812012263, 446900207, 257591240, 147318376, 331457961, 129142666, 86903879, 542965331, 809006415, 750561917, 937919122, 700857591, 112244447, 140620668, 965212633, 66525560, 93023960, 538819316, 759995479, 143789329, 619055855, 809659547, 780591279, 440557650, 392792125, 936962496, 251662839, 765371250, 106631101, 733159304, 577683461, 814150046, 803319139, 223616288, 722765945, 986910645, 578947037, 567622869, 573934147, 298987415, 101799664, 202990837, 917549458, 254108356, 531312368, 824046762, 63994605, 222811644, 224641046, 653302890, 406824973, 445409041, 44036677, 798184805, 933786077, 669345801, 64449623, 93090855, 374164052, 986058386, 801223459, 895945248, 557702942, 918899187, 716273874, 503933920, 423160618, 464210086, 626190792, 538518171, 372870728, 146287741, 559899866, 251265478, 501736103, 428683569, 595248634, 531511572, 256041942, 750833885, 630519969, 475362729, 436898595, 796196298, 310802643, 703742491, 409926550, 2939558, 739065256, 277898786, 995480221, 655240668, 239856798, 659132153, 921705584, 463024316, 666058234, 462608969, 154775044, 785339768, 397038090, 22370043, 754575246, 933322081, 844110615, 913225990, 641707583, 34172023, 641666441, 41836341, 203552616, 277678799, 340912851, 279448145, 120808465, 919367532, 421807628, 459859159, 625083149, 359155808, 611385575, 458460908, 290078479, 527629716, 453086809, 915763266, 182926633, 289844778, 947386328, 807841971, 420093857, 646641937, 574831540, 570964383, 726152207, 690277460, 933465661, 626541763, 163765759, 438001581, 776569882, 909213947, 366143732, 669010183, 482753996, 879426765, 833536115, 890731412, 554900746, 204194929, 576795434, 440185543, 35744270, 760436040, 61562440, 547865427, 856423185, 215871414, 143543295, 631406986, 971194924, 687732015, 311390818, 947322125, 302837983, 364371797, 142280683, 650806693, 908934057, 121100915, 459352816, 382665644, 345388990, 786277373, 79776065, 217745070, 679864474, 473833777, 280683396, 426421582, 875587930, 952668025, 403809387, 188666232, 741381130, 585908261, 784460117, 150658051, 67525293, 797558573, 713845071, 5783057, 582058160, 281381108, 375770262, 381605541, 718805733, 959058704, 529710781, 758556495, 623147910, 265466475, 457372028, 815087375, 873375635, 389490230, 784527077, 351132088, 208493765, 603226446, 994485567, 187715850, 909635247, 481381078, 957321954, 651767830, 857500599, 191566654, 698065404, 83996915, 507463213, 386863835, 530807300, 428361531, 45557014, 851959510, 53911109, 947791015, 694574986, 589439344, 614333407, 496288070, 175482342, 523348990, 415301653, 266407009, 933363089, 579759363, 918364522, 557410228, 78567411, 38538050, 154327643, 469533142, 753589414, 777426760, 638826193, 825649620, 89907962, 728404907, 181665517, 641384427, 61170406, 755530815, 879667761, 441834414, 387070740, 443710331, 274651599, 628218557, 240929846, 195153231, 226397848, 326249576, 23008334, 983828753, 176143110, 682200570, 322975464, 563615797, 413647125, 347199757, 90527143, 609160732, 30202076, 729926884, 19018197, 443847009, 2056226, 732386855, 96255813, 465133430, 289170979, 903974771, 292253001, 192679053, 243360013, 134537096, 99766602, 807397287, 643739721, 981318126, 59186993, 693108285, 755467678, 261344437, 66051387, 20307871, 280451882, 587806027, 678313826, 821138298, 358931056, 341664076, 903050105, 369021547, 241913813, 4118166, 721260297, 91205646, 288345344, 660570684, 235891322, 543579682, 4574591, 968484657, 195947551, 429876265, 534859023, 929201296, 769585755, 294844596, 736368465, 769200996, 360024085, 932716010, 925847482, 25642136, 13680764, 65468278, 746767261, 433989579, 93961373, 252184113, 874095468, 86022185, 94250938, 929508844, 95203134, 174494517, 742674704, 884210820, 655534128, 739127169, 355958031, 765742297, 64566443, 131905826, 468070283, 297766841, 11954134, 247010347, 425273250, 595699621, 591653440, 634060401, 284193151, 192354634, 103895310, 660768230, 294360765, 217806469, 357771498, 801051808, 506714138, 319280032, 733166419, 909887961, 520667370, 766649218, 719950933, 280315603, 541141095, 579706092, 243414616, 748929330, 986590903, 409008601, 777891076, 331831488, 81154545, 707570872, 418533992, 534758843, 632807502, 306224007, 414611410, 905622216, 464951972, 186778778, 970150597, 909608250, 132105028, 907088217, 41639710, 192516857, 774051423, 747410011, 323761630, 748450652, 394721393, 760897688, 468511836, 507122275, 918754848, 703865949, 800175763, 435172395, 341290431, 101342456, 748245768, 357628033, 523720346, 987544969, 492241194, 41414152, 273741371, 483252554, 430016103, 365671135, 301722763, 559474692, 533429488, 875663781, 479611562, 450974072, 759225551, 468403998, 6521812, 372092875, 74709664, 868526845, 810076909, 121856922, 970252187, 282771224, 837836228, 439056374, 3880811, 641929188, 946505221, 507524099, 953597122, 993130855, 783045821, 761171969, 997613430, 867878176, 715554635, 573007551, 314869855, 467822883, 100323211, 775324382, 680008566, 189121313, 278776511, 853043797, 39462859, 136787748, 848028963, 306033020, 483415803, 170959775, 162738640, 956117496, 418002450, 59954806, 608633065, 347196192, 461226706, 344003735, 361189796, 876234813, 206212144, 117233385, 669359564, 372417294, 527054354, 650990463, 723960024, 116596886, 113452214, 286200780, 387886767, 59880710, 485440317, 322912340, 47325852, 247355627, 486828455, 84361535, 559240310, 967058751, 673618465, 679078576, 415418839, 966536252, 53992511, 697958506, 198880723, 899704260, 357616346, 626958112, 990420973, 876701418, 461981116, 571630774, 973765404, 299842216, 104127362, 730475716, 273642205, 817068488, 899314826, 594981751, 485684898, 417695333, 910543612, 747881162, 470167621, 392260127, 747283493, 403320921, 134481423, 969928513, 899264987, 94038928, 417442012, 408031966, 465112251, 160386835, 831376807, 293276751, 988700242, 466725027, 873489729, 579072801, 149946516, 163724037, 456322672, 329780659, 474589450, 574239082, 451558337, 439666456, 449107179, 391268438, 15378107, 59142136, 624500440, 88912597, 57590, 2340880, 830039812, 213489929, 883776600, 990317341, 657585505, 130820688, 42389883, 984618569, 739889356, 444884441, 180741677, 272794426, 870903008, 141024456, 403927404, 889440593, 657504583, 315968923, 480626847, 244230629, 723253906, 67824344, 903492054, 412952539, 976734405, 851039826, 294468295, 524175470, 874228948, 570856082, 5821163, 532220796, 334279357, 418823228, 638453078, 818115823, 843558384, 509738033, 276231089, 873240306, 476754165, 717542958, 29039022, 804651164, 189919496, 399697451, 449195615, 707243334, 297108551, 464799847, 584793814, 189382022, 282144925, 375447073, 913848802, 276292013, 365907168, 59249348, 709490243, 319464495, 568655550, 866950408, 394762430, 384605490, 440322028, 310100292, 129256031, 681280869, 374519038, 176416773, 394252460, 104418032, 183110314, 705457547, 46279071, 403432343, 945172208, 153183017, 471076577, 113468032, 998384383, 199300068, 346138841, 501744520, 579170544, 183170513, 741636466, 570974030, 646846037, 965563672, 390475218, 603332696, 959642349, 388640972, 673501404, 252424987, 774886317, 436508230, 547198581, 630663558, 539390002, 276548662, 764678873, 330297075, 810869722, 667036876, 196016345, 673604701, 289892817, 822443132, 462926107, 563690342, 924927781, 858917043, 315705387, 297277044, 140826617, 958633323, 873065496, 479163047, 309372141, 174329270, 179556506, 231837172, 818251832, 489211123, 164483826, 957362079, 209021248, 824885370, 309830268, 930574471, 774930879, 816051074, 619730884, 756895414, 429154887, 168819168, 930154263, 329288330, 451634211, 670730925, 244266726, 39960795, 93410513, 270744714, 116418141, 911836100, 318968261, 773421685, 885685703, 822754732, 942088470, 15316835, 641847187, 947355448, 583831963, 917387773, 199224403, 708010195, 269890790, 257980063, 489849725, 781834370, 959402111, 64261592, 539156716, 329591700, 765948862, 454387921, 49790256, 929793378, 821378100, 275429269, 260458794, 415215944, 518300587, 812501519, 983886064, 415519639, 618553012, 985300973, 433575857, 846449539, 504279677, 71999581, 79497984, 520384089, 810983637, 661982946, 788828540, 922632176, 955510998, 202530703, 842129136, 95439172, 553355634, 678548001, 353074885, 606288037, 154522689, 960733149, 617499942, 220251619, 978914035, 452971147, 609829831, 460420845, 440256941, 153268048, 995006238, 147067928, 296685253, 20740237, 819522869, 896118665, 499135106, 580422680, 124250240, 882392918, 819093948, 639835435, 967130626, 809686511, 278510763, 307959549, 404042970, 926480407, 115070218, 965952901, 167261692, 631299240, 316834325, 754861831, 390785645, 650450786, 817132080, 839056643, 508793754, 630449502, 648130500, 985481079, 510872585, 429283011, 559644204, 59325590, 961959683, 927882081, 167630174, 513882143, 405903801, 179986241, 67578135, 520523988, 854815020, 868238308, 273380198, 456034186, 132824281, 321421291, 926821681, 315892962, 471235178, 130910484, 512058539, 706739395, 303322589, 572964301, 346429827, 31972094, 227825472, 747130221, 944334549, 213920275, 119195210, 401493048, 976893884, 354325145, 528111544, 113457236, 344380490, 586885117, 620426662, 825752344, 621733659, 465147091, 682127714, 996073062, 992509729, 700111099, 329837670, 665409931, 261877882, 103229924, 157525505, 321142571, 1743443, 533346538, 58554077, 841224345, 942660261, 669434041, 154228126, 719920908, 117811143, 160842164, 770717782, 193741542, 298331200, 5579052, 712675451, 498066554, 238732947, 57659856, 793517913, 440983281, 576751893, 88785877, 361876236, 960919284, 990460245, 570087442, 478313038, 690935170, 257858751, 730031327, 789298602, 939264204, 491415498, 732031332, 210132738, 943206713, 815422970, 363716170, 804017683, 276182729, 351670559, 36852020, 137040869, 780781135, 66942945, 623255666, 444400708, 624336273, 645483063, 268396691, 733790611, 332296076, 698721063, 519437232, 5578138, 923786280, 988683897, 528623377, 392667737, 480580819, 561051567, 591522730, 594350572, 683609751, 858585056, 309802206, 972675842, 804401192, 912702297, 92323968, 735921798, 287314381, 413991125, 271148010, 214065982, 295801342, 907634509, 161677694, 469629957, 988573788, 251733456, 515938883, 46158897, 613013026, 19991775, 471480999, 959516357, 12111, 225772357, 851809410, 97348052, 372358337, 638481331, 574812523, 528603435, 674848173, 550366392, 549002209, 713998133, 860248604, 53068171, 367279525, 36243698, 370353233, 251879896, 313053532, 116759955, 336555716, 451806096, 92976171, 814334672, 459194315, 418480317, 2131079, 538208400, 148045934, 165419803, 478321886, 157715472, 475938005, 734396643, 383099243, 803794476, 127039413, 244968686, 287375482, 372431733, 350638209, 223404498, 454382832, 225923070, 545458048, 259007639, 581097461, 920681557, 839089373, 637715700, 56887642, 151919898, 160297258, 140717005, 624736957, 107991796, 526462803, 90298517, 503585128, 690091124, 754231770, 523231832, 206649172, 564941056, 506277661, 768850522, 185978425, 291758351, 664210693, 866287836, 577045096, 359074327, 834468489, 654184910, 254021444, 368287059, 536585521, 79392151, 560980748, 591127714, 747232714, 899506883, 295810572, 136476996, 710190841, 759314643, 506371530, 105674655, 89895451, 88596497, 605963921, 141763295, 777127387, 347771362, 604495391, 17465870, 509723834, 5693519, 478914628, 443486006, 184035843, 371645964, 938734477, 892828644, 55083847, 340526933, 260141635, 869052712, 544560343, 794270526, 505045524, 349638085, 742551321, 777940600, 309261621, 143974323, 14373902, 903453412, 277738457, 320310127, 756238714, 92238385, 239595309, 688389827, 910692012, 437548203, 91223882, 602676471, 68896122, 935451613, 605097871, 709906823, 8321578, 974107231, 23652705, 716558614, 410268443, 461311885, 562384223, 800629240, 492177551, 602798632, 187588399, 834334345, 256200822, 917948006, 992183959, 527989425, 886907299, 966342503, 294987702, 240581881, 443949525, 467191684, 608294252, 768283158, 831068397, 685613679, 933531715, 720271755, 553897054, 284835506, 785178967, 289254792, 678025564, 632334391, 611788889, 255248179, 455737774, 619829544, 920853809, 397226154, 935781592, 500897629, 499761898, 184712953, 772820539, 507777632, 272886358, 852826592, 347229688, 527092521, 537101187, 409475529, 77106305, 855371923, 803888788, 841044884, 970533417, 586044321, 60412976, 688624205, 440254046, 36432561, 212192315, 940279027, 980885613, 630545483, 243159977, 203296086, 450301836, 788716721, 202307591, 144920305, 928926012, 174437871, 843063202, 771880424, 659551233, 392639384, 446261477, 20493139, 610999415, 603521091, 957367991, 323107397, 286689544, 106277618, 900029434, 775305681, 201593255, 860773326, 987600182, 925787219, 240420351, 751609327, 184324660, 542874372, 2107969, 916967980, 997958522, 789983692, 393446902, 904608295, 213211698, 173356742, 253391332, 352280739, 426436037, 53540533, 442547789, 525703474, 756125819, 63194928, 698391269, 108559310, 435652345, 355001426, 41273816, 791101485, 838694713, 712825376, 465718444, 360808499, 397671621, 654762415, 788066955, 658928058, 346736486, 2779510, 254767325, 803382844, 831000873, 57266968, 646661502, 592554263, 990947115, 642653270, 861382669, 216559223, 171671015, 385957835, 930412047, 560391417, 615409768, 991659808, 447841529, 896091106, 935477310, 730129776, 798194374, 162804566, 143395916, 64296990, 830544464, 407197530, 231886328, 937275299, 131934288, 484787003, 140151847, 166614690, 848671508, 492655558, 789288758, 627650265, 746819352, 355256944, 930536531, 745097520, 767435875, 364373877, 492538616, 809805408, 45183561, 549169700, 269466721, 986947203, 489970123, 197356464, 499051016, 24674670, 860055084, 457118438, 170347301, 775013168, 14978819, 635327186, 633191418, 514415140, 858457149, 192913692, 221618459, 197021616, 348116174, 712468926, 532760326, 729504768, 470712881, 645775366, 443508461, 37749468, 240602966, 286736908, 313051775, 165655704, 896265919, 541013708, 740026149, 671740069, 92033089, 51157398, 278508852, 911370483, 986017875, 812473377, 533151638, 558717881, 256547534, 889324730, 888860110, 823691387, 209782655, 795425077, 15201544, 234403079, 928612033, 150462803, 949788183, 213020807, 251043106, 812056186, 408225739, 199228907, 814285001, 165572729, 423825323, 795118983, 60775129, 144536382, 496201265, 785460398, 159429688, 253236979, 810771709, 692859021, 620169388, 136780808, 992975721, 357401124, 135523945, 161523422, 943363557, 164411852, 609858429, 322590766, 322572606, 575557640, 758153868, 950650399, 778946887, 519024304, 804098556, 105308645, 66326842, 865634145, 276478087, 332178038, 839043654, 776815127, 531803683, 30197552, 4733341, 206084039, 84349421, 671419341, 627632440, 40596399, 205402973, 64220425, 605460451, 773111367, 665062111, 803313606, 675761434, 462476666, 668677128, 838817280, 310064952, 692322475, 832823055, 524446833, 829964803, 439665594, 253335656, 91258666, 637443303, 838241953, 581252926, 312230397, 342685364, 599886241, 818299269, 958476892, 839092154, 967377194, 54481904, 59749337, 259102742, 202374100, 291749931, 493971424, 421998158, 542946128, 894317831, 627886609, 976457997, 561978598, 126358261, 977602371, 773512722, 113935890, 584931163, 603598373, 874831102, 433222750, 565724217, 805526294, 798654991, 546067626, 50198304, 294890454, 99739515, 23864734, 496641198, 805630955, 634110784, 542440456, 101633115, 215339812, 930870018, 151579248, 756148646, 473072316, 930999322, 660107471, 140048095, 173013841, 976270308, 573676436, 727042818, 502377578, 680396608, 290918301, 715683520, 777117845, 680044050, 382672006, 934731983, 787692165, 514305736, 590666812, 811938833, 673814370, 212531288, 855947946, 400892863, 860982269, 560539452, 610558083, 689706994, 11065968, 34850853, 189524688, 608466157, 705005313, 846985145, 21085611, 167857162, 401535941, 169656148, 932474146, 247339048, 282978868, 888953932, 997117021, 435573028, 722729797, 138340050, 45101487, 305876689, 530544258, 901030171, 155760493, 140813652, 105610367, 441283158, 631309110, 100762530, 83922353, 519516970, 666137615, 663935246, 814974216, 89493439, 880894528, 703716872, 899271297, 166055648, 427353845, 182967947, 933418977, 384028543, 899907006, 929161346, 301784906, 156398670, 922564900, 693022448, 331928188, 538764568, 184561541, 125676952, 371646546, 291848249, 600512202, 626232135, 691494899, 819640652, 76609009, 639541196, 315638309, 242411879, 297262863, 165369718, 946861913, 448305936, 844971381, 863290159, 691059603, 523892430, 879593614, 635390790, 761196792, 189399583, 804448137, 884004874, 781272706, 734518978, 697195676, 287363955, 786258053, 891378710, 104561761, 840960650, 629962440, 915382511, 571421284, 298263132, 132930682, 843677520, 881117954, 736290223, 862516117, 710804977, 392314680, 906929975, 539068678, 174499499, 266073516, 181317361, 365255597, 560037828, 409207301, 477606739, 993796749, 241611882, 856364640, 735199239, 745448574, 184870696, 983137623, 98172885, 361261195, 961632263, 828261049, 866948636, 744670093, 279800186, 546742524, 884576854, 877934671, 441343549, 927120446, 256470090, 51630490, 538010666, 550799515, 534733562, 442359443, 33046028, 706948022, 160351982, 235110166, 507006328, 857823330, 909637018, 688584158, 156506694, 720108500, 2905273, 821709794, 802591565, 412109676, 618512619, 221268775, 861656990, 487850392, 600476115, 394798851, 57829760, 220126539, 841403840, 751733045, 518761692, 255705758, 959187512, 518555005, 500739274, 621912591, 576481533, 882931145, 121981446, 184691600, 314801935, 56239966, 278843237, 686721031, 596754421, 392276229, 659442104, 342488874, 751629021, 912809296, 362853029, 765139193, 29093597, 694445085, 45292008, 741541926, 923335886, 470128010, 920324460, 833652387, 355929619, 513549651, 454639317, 105897314, 307625082, 607778694, 403398953, 278140806, 91477460, 92940549, 385760883, 991995248, 673195982, 302151275, 281942777, 325512511, 175461141, 798047189, 360012603, 418516211, 827046756, 202043946, 884742615, 442268665, 722841600, 806825177, 451001580, 88852632, 997132917, 429814447, 521546930, 107093219, 695654874, 916167262, 943333559, 454839021, 6389231, 533042776, 890420340, 136518384, 223863073, 58481928, 813749198, 572714968, 852432903, 598435021, 800723803, 483873769, 531096436, 926324258, 285885525, 424399341, 99874681, 322043683, 703254314, 800226998, 197364278, 980638105, 308796195, 871476504, 284680599, 162499377, 109118677, 345823379, 184353920, 38657888, 960419656, 734667033, 155477357, 394077271, 236519199, 191710181, 504133000, 604757055, 275052993, 188303908, 79219365, 716579612, 902195544, 127857085, 717361919, 857431657, 793250847, 445515618, 83823565, 170954940, 60856912, 633483727, 829942123, 620544538, 965720544, 459481009, 428601061, 897424519, 382330885, 715790086, 23145506, 547911734, 111408861, 262036290, 663785936, 58886610, 975642913, 853974938, 585106612, 787812198, 224964435, 633164705, 510665298, 542577494, 681562487, 426310018, 230668096, 359911234, 912593284, 371598482, 709019792, 710630445, 695762257, 322052536, 791747461, 904864119, 606421313, 969191161, 504092236, 603055605, 165504188, 936565503, 418483584, 276025732, 409801302, 323511606, 508012180, 384873201, 214413291, 905446837, 499987674, 185347954, 550556085, 953996339, 495259823, 805265214, 787505333, 411989403, 710915668, 683889040, 772431338, 59121259, 107304994, 776090448, 201635028, 783952968, 750389114, 107498129, 101490356, 221011666, 262831289, 564997379, 579225251, 719146020, 242960704, 693703497, 547512679, 431435745, 393720258, 634429038, 221213062, 722791940, 684503525, 309996299, 572794510, 795689484, 39292580, 77954271, 439495135, 287996790, 430422067, 598188778, 483931014, 960567333, 24807147, 560626188, 471944087, 534052865, 350315260, 961905863, 284431129, 390315874, 30834808, 587307193, 158852650, 568970797, 251657107, 298557619, 311064204, 675732302, 904735663, 271436425, 872951302, 136218271, 22297482, 452724522, 91627036, 149020233, 459412537, 131007150, 352914759, 611713639, 681902323, 961290185, 464160783, 838090961, 62746879, 751129301, 865788812, 211285349, 403723623, 598943083, 552657833, 263730609, 556429072, 397025352, 676852120, 517492550, 82575906, 384977981, 696654919, 218817398, 580505358, 812138866, 348241788, 841773185, 99132567, 506745272, 86957992, 425357199, 900541830, 406492737, 459354069, 849519310, 656058151, 900646995, 494234216, 538486840, 997748649, 268469623, 983002776, 350341267, 839125001, 89411448, 729149366, 366815759, 78552347, 62455975, 922162137, 253841883, 615886150, 243006011, 559644279, 442882766, 276302744, 90880780, 257532147, 357322419, 776104634, 978632357, 728524339, 532817734, 807928501, 468080200, 442262852, 362507575, 610040090, 344684470, 278300201, 170005533, 565100686, 706546763, 560926000, 882779424, 817519543, 417311799, 569154893, 343393094, 939548781, 380310475, 878640521, 146336975, 477938234, 605705346, 28859660, 212352118, 855630884, 716040422, 732579072, 998314636, 848697746, 479344444, 838622719, 891754795, 740572601, 348655665, 498757165, 341505748, 224267940, 356479947, 623798082, 865480073, 212178921, 175503891, 789042513, 381537538, 363067679, 716949794, 68005454, 194862590, 461449233, 664778179, 449453637, 56476486, 85808649, 815776673, 247062801, 528829087, 848436456, 67384527, 611583161, 624724926, 277545490, 953039539, 492506686, 494492145, 8860328, 290502236, 435238358, 534685687, 945850741, 371318539, 937878947, 950272166, 10609133, 777636288, 79729177, 122837595, 899798452, 332423954, 126384097, 597920660, 574506916, 335509470, 555002315, 114318138, 983244624, 247722753, 466409213, 223319027, 867881428, 670256192, 85421518, 227014684, 25685829, 377193211, 852205601, 964004090, 113382815, 974754018, 723017683, 60062848, 119102364, 145331372, 59447064, 964351485, 999277401, 52540125, 91880450, 759767624, 220506016, 815045299, 444998604, 710907196, 393033423, 555093270, 152216668, 714807924, 826179451, 319226063, 368728976, 622377682, 556607721, 676820315, 531176188, 720077552, 416457459, 279803298, 84548877, 985898378, 497163114, 431885598, 410048981, 826661877, 671235678, 452211005, 356557567, 398256876, 452358517, 529454370, 376259113, 876513783, 399406680, 947028339, 560585614, 231675864, 787996051, 814859008, 112770908, 978115001, 692864949, 701312069, 337815152, 18000932, 798558286, 392578603, 906499101, 217852164, 909301913, 726200507, 907707161, 868281328, 842596474, 222409242, 343394322, 900346546, 313594322, 386667313, 830978190, 287409938, 3098673, 548312055, 886586086, 710457184, 518829989, 340902933, 99571812, 353475286, 756230038, 143407665, 842188681, 472722426, 735167436, 105900646, 225473947, 184836273, 231567463, 143549106, 528843879, 220779456, 561082079, 14486797, 195496757, 787955775, 349857789, 497769649, 221109097, 153033889, 765900640, 800795899, 720334380, 593086441, 299123651, 264264733, 30028798, 25932878, 56542218, 327188354, 988533890, 268347021, 353301456, 140687090, 70802945, 600895709, 612660996, 934373948, 563192265, 973135364, 903836959, 841752471, 424411686, 514152049, 555560763, 923200844, 717654440, 889239643, 597268391, 941570369, 884908498, 493516525, 651696155, 931881847, 88825327, 924534843, 954712480, 782383869, 776418079, 635970376, 416424385, 456801944, 171332983, 335852171, 1974843, 57207539, 597540013, 987043640, 104358915, 879646156, 936324813, 369884474, 503370247, 492664431, 902801686, 638582850, 964463518, 669538521, 254102655, 61675092, 713236791, 287406961, 437380131, 741675477, 803834099, 594069915, 379914801, 493642810, 948365835, 512801290, 613024695, 637654124, 746263584, 21636373, 750548999, 677258087, 95160309, 47937107, 948732884, 810907561, 652293929, 115181490, 278104058, 622035764, 952340815, 725223263, 158180700, 143047073, 619492773, 892435783, 134454712, 508681246, 297283344, 950567342, 773216843, 62198193, 285510042, 665302949, 187377084, 77586670, 946276215, 489964974, 765306453, 282153951, 81831097, 128753776, 890498538, 239092567, 348340235, 392159239, 190690351, 896030777, 352961817, 705451192, 251551241, 822998241, 218140885, 993322242, 802944428, 409236111, 531913867, 332217458, 654545309, 192376351, 204238431, 247389792, 400564233, 195573138, 506741256, 184503187, 671541156, 259947397, 469221529, 744537640, 864210356, 681697799, 375079249, 890032230, 843750071, 287024743, 621361961, 325920039, 820435832, 658424432, 696027407, 477242973, 527491520, 355773000, 882092445, 190076220, 30195682, 583167954, 424690510, 451732221, 130512938, 449791071, 796273129, 875934888, 198865960, 591716659, 517918480, 294201687, 949821777, 520926274, 47110037, 892145568, 434634513, 95331204, 591542299, 9528892, 322213439, 37233537, 724517351, 577600805, 641241332, 298249715, 920599699, 397525373, 741315328, 438305861, 348181438, 167847360, 821388347, 808403715, 236902433, 301024448, 707896863, 95685570, 859319259, 795929248, 502091326, 31925446, 587062673, 678744209, 431220823, 800390380, 68782010, 171623313, 753876846, 218540126, 9086118, 173725297, 88735181, 531225302, 87977229, 85125724, 242017975, 547722436, 989145460, 176154815, 891998570, 684628122, 402554555, 575925888, 972333455, 889711947, 449297481, 798409841, 749103825, 439594240, 729056591, 489426544, 352390670, 537625628, 715378614, 577932414, 830642439, 304145900, 338039319, 338771478, 254610620, 602884903, 756176215, 358548426, 906538330, 925944434, 371021446, 259535810, 759191334, 669194756, 561203862, 692018279, 654322158, 217601691, 676892159, 157454889, 875414255, 887135634, 520957846, 288500295, 731568314, 802351122, 20533988, 825447292, 670111270, 139472969, 976846130, 307111806, 143694009, 996397715, 681262136, 867271616, 369536480, 509725225, 387320638, 897135434, 882831777, 119653512, 949658995, 586433554, 843766815, 456848318, 250124905, 583295748, 920479916, 371789412, 545943408, 401317241, 408923376, 596313025, 475237872, 71314579, 972760027, 678038903, 974523166, 369335229, 22622088, 982525373, 893607550, 517561485, 359806128, 274617587, 826160213, 368101759, 927956351, 712200781, 512059093, 109490437, 654420860, 404973788, 776877332, 28508143, 957692374, 63542965, 208534222, 196813776, 554917760, 101631102, 278606039, 161090202, 558420375, 744877441, 822278838, 342179515, 289070978, 147303154, 689214364, 717783717, 787148685, 418946061, 948006239, 107439739, 915478828, 665988350, 917375491, 980085347, 710719311, 670244414, 959034140, 651516882, 524873546, 398721413, 232014060, 985418833, 614939714, 686971707, 952706599, 839597714, 231971992, 989245900, 872303269, 682678605, 910729604, 967110033, 447174638, 584545084, 447057023, 803654431, 675155385, 241590513, 939576363, 557370860, 912305120, 335940907, 677201468, 386526883, 599113016, 248184520, 571993757, 613233952, 576341049, 194098652, 92071209, 359679997, 493274959, 361099977, 184174270, 898090252, 291500633, 445857769, 117237528, 509040878, 900783542, 25535441, 347317710, 471658678, 540347377, 858579886, 797711223, 16426315, 455132645, 200288070, 423889031, 71045107, 49766711, 762632846, 285773505, 369459003, 693911129, 311764732, 123372707, 295844016, 530721977, 738050559, 79855917, 435544503, 602936002, 778556811, 994327894, 892404743, 648336543, 999443140, 123377249, 931418432, 804920793, 844051013, 849639015, 493614654, 182005993, 32013189, 530737123, 627060430, 286754841, 936157868, 588560152, 221591223, 917172707, 613742466, 417256379, 742830135, 420055838, 685672141, 231519692, 584682837, 27050586, 260642711, 986202629, 267228142, 465239277, 615239487, 488194545, 926520755, 28524111, 869962700, 666981317, 373440980, 429591093, 228822577, 761097195, 199223478, 842176488, 279773666, 588854934, 741614636, 753200198, 254639383, 974911470, 411043464, 3989295, 171369686, 458735648, 773608976, 175763474, 92988845, 688866385, 283213556, 157243148, 48727232, 844406224, 857675016, 219866766, 66783607, 276573639, 275552115, 948573835, 797588179, 434412287, 385559080, 784254528, 460491681, 649498200, 20790755, 773830274, 877796450, 766622290, 593626130, 912140605, 231801639, 986829704, 550132518, 38824634, 512449243, 75845938, 787473021, 91483460, 143376550, 224931378, 423280636, 64474622, 222918233, 467536615, 868315479, 975006321, 207048759, 403218441, 803968307, 132106951, 102750885, 763629600, 777055455, 99597750, 704398913, 389687242, 198780432, 562146070, 763913022, 119583361, 790735437, 588679701, 733666446, 700369089, 393513705, 629375352, 960764372, 402346215, 963992942, 707953246, 350438637, 340276563, 640779810, 887784297, 367312321, 787857573, 547244472, 818786835, 693617295, 881894928, 220067242, 861029356, 37251622, 326849886, 702522883, 184533999, 191080389, 178189482, 92785744, 923091969, 316136000, 801913292, 972131797, 978697135, 614945217, 409368891, 908282032, 42602728, 284024984, 847132034, 976363091, 594320831, 677263278, 966621809, 726841903, 367325902, 442536052, 758417275, 706326928, 589160355, 421479060, 30113673, 647417181, 923031611, 720301477, 92646699, 849283914, 938903264, 984680650, 134452439, 735638748, 142341777, 430634029, 745601656, 5770607, 128395023, 417738645, 812401695, 511802566, 459298765, 424001100, 581529534, 678217823, 198681441, 592534220, 981914093, 405069272, 145506677, 3632092, 985965279, 271872576, 689035001, 26711338, 459796105, 834249537, 690475701, 247329244, 335270412, 751586225, 706056882, 943796646, 847265442, 161386259, 509461595, 681721668, 946924169, 576821184, 929667269, 88990986, 927747019, 614490507, 106856748, 740918225, 861018704, 271139599, 437209127, 82555355, 570963597, 993928641, 530906595, 397749751, 792848367, 766568589, 450629727, 224767004, 76083764, 227429419, 511768720, 126920059, 208724388, 60174118, 55371973, 114436328, 553400181, 957066613, 160861498, 627381248, 458689657, 296831691, 158622247, 993476588, 924395567, 389101850, 811714307, 307972195, 329010962, 928842462, 976929314, 84340481, 140126627, 13244278, 908147370, 282001816, 228606203, 175010083, 249010413, 392603460, 500346211, 334943800, 743742189, 515419973, 376739163, 330777288, 511316408, 449759706, 736020166, 364379672, 63190296, 981967388, 587330850, 589165762, 76614795, 298341043, 746495085, 744579079, 677565551, 37186257, 588996503, 805938133, 406097182, 88340783, 383747110, 471339172, 472073334, 870671253, 417151971, 965653399, 142538103, 321045537, 84179974, 111235617, 559536202, 541771568, 825908451, 18634353, 298382969, 586842017, 561030401, 435683332, 529124432, 424372972, 683325454, 62747717, 368411521, 847908872, 734677066, 138625601, 968111824, 362604888, 330156339, 377021987, 114831902, 435293889, 960313635, 370879461, 214691350, 773599890, 850434833, 104105978, 341710088, 768074339, 294885324, 865172903, 862208833, 581243647, 960447478, 738865305, 908357803, 318367244, 660279634, 2993817, 484258211, 503943585, 975184869, 728853213, 921202606, 896064616, 703932666, 788173429, 456077595, 499694074, 699301854, 722427053, 149269748, 683315945, 563775364, 52061621, 50953404, 802104722, 727425560, 56878662, 346385367, 708346539, 816856421, 999259886, 830184067, 819841159, 695577498, 392227217, 185624042, 176920305, 28405167, 173066508, 442482096, 104810077, 110892211, 354910883, 103948045, 110481945, 713721430, 686914903, 714892646, 495112408, 56579543, 714674240, 579662160, 640615529, 441490254, 732420994, 364893145, 821301831, 353570820, 253567246, 942568204, 499065116, 386937101, 955608816, 748327452, 839543635, 290590228, 747469238, 675252591, 680934682, 24601096, 986454927, 265085084, 879065144, 76186231, 309187308, 495285503, 200495578, 155015484, 135465105, 128262928, 335079402, 87479359, 118565457, 890119315, 55510978, 211128513, 41615251, 648025428, 19633676, 983429138, 257954699, 818660108, 468555063, 684911651, 645868377, 844930085, 425903804, 119663636, 419808931, 495072422, 863563609, 248439566, 923980141, 65153816, 68309945, 658123263, 554701962, 460990616, 241777215, 88191341, 766974437, 704880522, 197577893, 10291639, 695761939, 847943642, 842573361, 525906757, 442633984, 185359857, 264754118, 489248420, 268367859, 700400622, 617109535, 171439003, 532485397, 408781778, 189954090, 483292688, 561606367, 896439414, 645275306, 204247367, 584736526, 394925280, 736406924, 851092538, 845453271, 740663636, 578545993, 182035762, 974533153, 213812248, 294663037, 83485536, 948897848, 39607378, 890689909, 830270433, 795691355, 83103023, 609131839, 103124315, 180923626, 641505107, 400009525, 489808373, 251154317, 833322874, 111577321, 580796587, 771889288, 684477107, 252556254, 704655042, 544990410, 852776408, 459111616, 274543270, 99149936, 998020472, 646957493, 388954144, 700918862, 515965322, 57765445, 985412021, 17852875, 485819126, 500038181, 690122270, 183315034, 15638536, 757160869, 600578379, 740603447, 930148206, 245243807, 780464089, 379204189, 373490993, 610478664, 122985287, 959493758, 27116996, 751203948, 732345762, 480723478, 422239648, 310270377, 948200469, 102698335, 588865977, 107658807, 325101836, 763648876, 679976475, 643664496, 622974389, 861448889, 973546317, 691315135, 884059821, 131859027, 668774289, 172535088, 202508296, 321053099, 166919027, 171552941, 150221486, 826147217, 890779117, 693036460, 103452310, 103080717, 786869236, 774378715, 924117051, 431160, 236829489, 537193790, 836657883, 471832082, 244981839, 922866236, 359515422, 178379727, 453666351, 388210150, 251733914, 739477389, 480701591, 690611422, 845749432, 974237208, 830649539, 892826033, 318719211, 255794087, 8542743, 304614138, 726518994, 373788931, 974824405, 743835976, 680280834, 154046180, 138266699, 2765959, 395571037, 239833282, 108312102, 93448015, 961245990, 688306215, 871434609, 318548234, 460304278, 168799542, 713206254, 990549476, 370373683, 198335810, 181111418, 229746112, 770994459, 283851034, 923677787, 662870722, 688068159, 350424386, 483834274, 343976709, 417280890, 980803329, 559085965, 893287737, 870250221, 870391406, 927987867, 611340522, 997605464, 315567728, 695101057, 159357043, 791049654, 276628156, 712739920, 407774645, 524486978, 469796296, 541830952, 294488421, 431846353, 691649513, 843040161, 700978250, 432213907, 124091995, 363754447, 833271800, 979460710, 43312655, 360034718, 443626213, 576738632, 181105035, 188668998, 335419443, 301035680, 266354637, 281649518, 884141275, 163397097, 467237254, 916886000, 534173730, 238946663, 568308448, 639110220, 621127034, 313199134, 759242429, 850235777, 421964863, 951921684, 887699516, 358173638, 53026916, 813430739, 665366197, 781590862, 724768560, 870080364, 592362969, 518929296, 257704366, 895545943, 245317372, 25917255, 634365770, 128739159, 491453742, 769440334, 641188742, 473521782, 845336148, 728636767, 431279475, 246753639, 797687979, 127652757, 566224930, 519573444, 646300306, 374690240, 545902332, 792688589, 322914405, 759415631, 311057936, 763854175, 164011704, 778552779, 105359898, 977059881, 807804455, 436064259, 163963140, 216171844, 892779331, 539869707, 777510542, 725215569, 312581809, 528525533, 446104950, 235190480, 776285262, 996274378, 906075685, 986986711, 571411616, 623502187, 283646376, 996236571, 834206081, 413465777, 241956671, 670839837, 304725782, 592519188, 55315318, 24530518, 926930864, 7817094, 284053758, 865309298, 877687861, 417767746, 981930508, 204271123, 804750146, 481199057, 775516580, 948047092, 952497411, 463351483, 38498878, 903688633, 116378456, 799491525, 330082150, 716563263, 311406019, 868889238, 3814948, 144103887, 977154497, 71859078, 962328933, 442543027, 656967095, 115139059, 400197973, 97861210, 869684411, 532229739, 837291831, 537772329, 445847543, 64725927, 893703203, 942515151, 438958014, 992117674, 667215270, 114410249, 895581920, 608084901, 865493082, 387249720, 788522708, 462149785, 609615992, 334580020, 492319262, 287657206, 578619285, 381041586, 409270561, 775107983, 246359774, 137425118, 987338996, 865768196, 940230590, 684433830, 344834828, 689095835, 319150084, 246431488, 38273747, 696390047, 453718561, 59773631, 670743134, 225257774, 455122638, 437853356, 387947963, 8017627, 844160252, 484013424, 807289888, 215654807, 331626673, 81520405, 919840531, 564787131, 627597459, 925943440, 84989038, 73405511, 657027342, 690496305, 956537332, 548681002, 57563937, 684642341, 268638738, 78175307, 427854870, 837830957, 887530319, 10681834, 368859999, 173033785, 478681249, 620866211, 605657654, 576092168, 884281300, 50931232, 93496263, 534703950, 796995342, 329394314, 162168479, 533515516, 461761060, 821440211, 786750125, 47699711, 740033985, 266906687, 264892306, 935244076, 398908407, 277363227, 673778389, 919133696, 317649311, 905245075, 88137821, 457967537, 666232772, 329478978, 160989661, 127137708, 3451334, 934956479, 1590074, 531898485, 986550273, 704542401, 611580482, 152832392, 106119052, 367600326, 617872796, 956568320, 503750870, 783056630, 633626459, 280591451, 506169979, 645362998, 75076032, 602949416, 26578011, 45873942, 15784880, 489516989, 990472392, 826100325, 241492975, 699128284, 82705347, 220086251, 43471696, 567070432, 42814933, 492460693, 725200706, 825416646, 888472237, 539118715, 315970344, 825268857, 762712770, 975642946, 367419772, 270700330, 246174809, 5571193, 457276187, 173712989, 624695810, 572948814, 859982821, 251291314, 597394351, 264014738, 679132832, 165787755, 859177005, 326689375, 10542783, 974535283, 888557381, 957367625, 671459857, 792726345, 409985431, 31535924, 4353523, 487995171, 407528357, 738561336, 844473757, 293959920, 596362642, 564206453, 994931890, 448662958, 495160983, 747174370, 335724957, 393881317, 591647815, 399382707, 330189207, 256686347, 239380416, 13970503, 83086391, 770517577, 735157685, 28602417, 820242159, 964991393, 394542477, 62404280, 736263531, 124502058, 654433456, 827511368, 340549921, 591000029, 996249458, 647651148, 361597668, 645220133, 873372929, 165207457, 60014328, 308788027, 80119268, 343630727, 451879617, 949704403, 343818468, 557780468, 105147136, 629419695, 241380493, 417187963, 679236208, 381717709, 357960194, 189811448, 966606384, 47091449, 453465896, 278075572, 712874926, 946381891, 804470503, 418528314, 406702360, 710928730, 327556200, 731313558, 996011998, 805833426, 394134232, 330103921, 956532385, 272248857, 302620491, 543166879, 726903398, 472655624, 285125000, 738113274, 272060784, 784299198, 888077186, 495399490, 710657203, 228851086, 660355682, 937717705, 928431946, 722377014, 9408660, 129158217, 299965190, 627720096, 908664091, 746337305, 639884827, 212645327, 560098950, 895984255, 381617133, 593890621, 686172115, 77064307, 741991395, 327351945, 488157588, 165494398, 273895902, 618771917, 362369752, 536502578, 451194580, 264082498, 860328751, 896556487, 729604272, 690703756, 957623012, 939957364, 209925585, 936465014, 322622472, 419477545, 173083264, 999727234, 872261183, 138737982, 40459851, 888084253, 404932251, 500902887, 583717975, 701620137, 529669042, 722646297, 419175991, 525016685, 298114673, 78585840, 311215578, 252718349, 362503213, 901385805, 92871938, 81617874, 810437219, 361012710, 184064772, 142508982, 937435203, 396742132, 692448455, 112845425, 470048273, 678578137, 176852820, 856568468, 739854978, 985879123, 930516678, 349569253, 992991393, 407318683, 857011551, 275682730, 580294377, 265599994, 136097010, 732709729, 447961274, 554984269, 204300311, 827813633, 157201662, 687803737, 185862104, 612030138, 945332087, 971160130, 66347099, 46177788, 210261251, 821159117, 507735523, 200087181, 228950604, 286589671, 428017589, 902297697, 77552342, 950835447, 766032703, 369925651, 835272069, 66779310, 345013199, 922675246, 274881724, 623185826, 441200027, 186943173, 300136411, 660989502, 551181188, 554477684, 659419644, 383891171, 401453909, 127959006, 657360438, 901066413, 806286109, 890578811, 149882952, 539207385, 908269480, 963705621, 437102244, 128811072, 620752763, 249012911, 23043335, 277087199, 307904911, 639723461, 566740738, 828524330, 828372065, 113222217, 813892922, 350456740, 619530546, 171859377, 42411313, 375205672, 4110306, 617678890, 875829920, 196719446, 84971941, 960129029, 354330557, 238901325, 944168954, 239246187, 853515971, 307462677, 803582328, 375385313, 411495089, 340149193, 363489558, 574656572, 417422585, 17688397, 169311267, 572012175, 815803568, 166640811, 406268282, 316509117, 743939456, 926261890, 354292053, 972550670, 75688254, 235654347, 131076596, 1722057, 923808899, 58324126, 810239443, 448219447, 487470492, 134225100, 32328803, 980763108, 16747641, 542710575, 741646145, 345807176, 861869411, 668650866, 862649021, 321296771, 741645345, 346436867, 33749007, 781473203, 158576983, 271579904, 807461796, 310357159, 766465443, 84867087, 186246773, 808268159, 954066206, 576566800, 960766384, 171476242, 4160503, 605583973, 885830574, 379165410, 322121190, 411765585, 476131255, 87471509, 670550077, 801423630, 819885013, 578286536, 254690419, 140702226, 47258773, 272369144, 348573101, 509072355, 901219116, 42470959, 609775270, 592576420, 437239044, 787005799, 703075064, 960426684, 130226823, 525126157, 352416950, 867374293, 293230178, 970163957, 407354881, 695284689, 92520986, 952477771, 940273135, 786111107, 841162800, 115852810, 334649406, 975679710, 468090655, 928036684, 275692423, 693899778, 140369408, 381244432, 920501795, 831270957, 914891729, 290651276, 996230516, 581646389, 409263522, 818892081, 605315078, 436330910, 889114906, 514849994, 855419611, 686219237, 838020354, 213922789, 929679750, 334236539, 422848030, 57405189, 11958360, 105627569, 703804363, 432210059, 731677422, 950454270, 381019873, 400450902, 319777813, 331368306, 664494948, 740315392, 788958345, 94547932, 642884032, 703834332, 927304115, 499244924, 230283614, 193686362, 638523287, 949452556, 547220373, 226200699, 586665866, 105781000, 523676359, 149220524, 160026727, 123512306, 241740661, 386256774, 791476741, 621639705, 488993409, 690106586, 769290035, 513659464, 454416088, 12619573, 589305523, 643659412, 668923826, 576295091, 572803708, 465582616, 495743339, 800825067, 566762319, 351726582, 597370357, 941433733, 417007761, 145811350, 209394050, 167898421, 666776325, 593596124, 930562783, 5040044, 20269235, 946204694, 628661571, 741760822, 902902850, 577004917, 699313457, 21238997, 731555480, 914189067, 612964513, 446423306, 396049515, 579250130, 185607255, 376344721, 425601162, 524719191, 536048067, 258640710, 844356045, 527540008, 651801826, 305867907, 400024693, 61218613, 195229055, 366760632, 966523561, 324066263, 837176368, 620267096, 761817928, 530653973, 350403912, 622087723, 312865768, 501384753, 501217595, 907392238, 460602908, 459438703, 831976081, 803546026, 517854844, 891388162, 781830479, 861171380, 276096502, 452131292, 160737786, 784492883, 663854888, 574376064, 999995278, 670535550, 497592542, 59022778, 619461689, 877509905, 378287681, 219757365, 781684031, 742755443, 598201212, 146675201, 626408245, 383725859, 286042777, 73412725, 728858824, 775968078, 941833314, 108406233, 550553033, 700457984, 448763253, 654806878, 665419639, 959871461, 609501189, 554058004, 791505976, 338394240, 49415942, 344902729, 180860979, 145517285, 215093429, 841554, 422017541, 894654790, 320037778, 489378636, 588343062, 592238318, 70077287, 40062575, 210648465, 887734776, 519738204, 205129138, 520077520, 516222786, 572321541, 514392433, 365546224, 375584600, 1416723, 201194330, 347571084, 772108691, 673980382, 40785111, 668389268, 568594289, 555399638, 309041455, 874006237, 590215893, 184657229, 132194749, 255056308, 388955112, 71041211, 528236276, 612194315, 890894706, 876461388, 740683970, 72388444, 779620939, 854055114, 354259369, 435455670, 863145461, 992866183, 314151502, 868235323, 559355984, 958579771, 328860150, 906747815, 736087233, 916408762, 614295204, 835902022, 145385787, 806444084, 130811967, 876484074, 14700914, 881979990, 682509003, 988407047, 536843463, 122397371, 898638446, 365718299, 731222328, 249203083, 342369123, 747815162, 627298437, 788513784, 770873655, 690130084, 113530671, 997047436, 265962980, 737278137, 537553397, 859734120, 238733023, 644188666, 139370354, 499936826, 858975930, 346785446, 67324201, 751968684, 661005387, 388313764, 707989807, 774822704, 215245238, 205721723, 193234735, 969414176, 152604116, 345304285, 701824669, 242856443, 515843026, 15347417, 153204622, 392345798, 165078993, 806536832, 94750412, 774316875, 75740532, 315262191, 701952801, 229036352, 617633616, 911112982, 744814292, 280124205, 960876277, 623068266, 733831048, 23192797, 700415710, 579493479, 369081556, 162736612, 105107262, 207433121, 606138765, 753213545, 121846793, 932038297, 150414129, 349749851, 651217281, 936465381, 28161316, 840909642, 174041171, 335822833, 664767186, 118885132, 377643944, 616658794, 706884143, 590657598, 27201744, 643745056, 51684075, 316779565, 297886445, 560408816, 35752087, 907960562, 523770419, 984830858, 707649602, 818245715, 575595603, 457070890, 47519946, 778189285, 116544979, 310867876, 649456528, 184872825, 860937140, 106661867, 709258301, 971484025, 996602858, 258195807, 78808769, 785879478, 226646500, 173243874, 266143811, 203298819, 950881971, 735193349, 267379043, 390199692, 250835803, 6313583, 833222964, 22653782, 796486382, 445704720, 26179210, 944460049, 607076257, 180458111, 256314495, 438961229, 82982062, 147212015, 20292666, 630976936, 659189946, 891373880, 860672940, 937367362, 833312333, 192821121, 266879405, 141832388, 402983357, 405049497, 729577383, 154182185, 128360984, 891092465, 21494095, 8819285, 111923315, 906217553, 609893685, 998602779, 457805575, 141447149, 847562769, 477909830, 873294053, 373779555, 391571767, 950472913, 932461589, 23722903, 708525876, 732990610, 362289751, 327010812, 905881484, 228816135, 67484265, 640066887, 655007688, 564053763, 712646890, 880160418, 197586097, 394213322, 849046908, 548031787, 810386089, 407298339, 429961173, 479285997, 953018966, 837922030, 966647657, 121413212, 961868952, 800048134, 45102811, 87599343, 70205632, 234826179, 350065848, 358257915, 488407299, 473126916, 935797154, 49043966, 327096364, 732953438, 476832342, 77183298, 291900112, 281571929, 932925152, 905313653, 825791590, 718278588, 92896415, 129411629, 717291605, 874375885, 638539430, 982531893, 812396331, 230520934, 23357769, 367074177, 161026612, 248032617, 150611699, 916539150, 757113466, 309103997, 79099618, 541653722, 881982362, 577647010, 468578773, 95298530, 79613451, 835234786, 376219779, 422146485, 560276314, 104356205, 1342389, 15353834, 980645456, 777941654, 180650754, 922145045, 924728508, 302265733, 217954886, 410221054, 816724727, 872067914, 113828339, 663323008, 795907452, 991191713, 760150362, 752915519, 850422105, 610766297, 825123341, 108860098, 370112183, 132004583, 896553704, 576054134, 13541692, 708339878, 545418615, 721872296, 256665109, 1607348, 409366172, 730443497, 458665520, 349721291, 356904805, 250223431, 49819993, 130740352, 461517173, 477592459, 603296291, 291745893, 263899305, 685200666, 418899353, 642112488, 100255463, 25701237, 674111261, 12025155, 702821920, 380627308, 997250220, 899956851, 774423224, 858229392, 922064343, 862487497, 746274828, 632114242, 261835932, 884207416, 288727330, 556576561, 205784699, 103017253, 358432135, 574742070, 608681256, 682380082, 379896762, 290683954, 823587634, 639179822, 618252869, 375290467, 673945207, 183919405, 721871079, 887844371, 98292588, 492194901, 781351951, 823252188, 627284067, 119252763, 967844988, 829609134, 195344150, 641668484, 39457297, 668196730, 561250404, 293411311, 910790202, 83270589, 755182386, 248586398, 758418022, 900406478, 67489470, 675425665, 778050545, 28450192, 377755269, 864075268, 572700161, 159671682, 189516084, 769692085, 982684692, 232171500, 955846837, 936498911, 60604561, 24817107, 290863396, 320998329, 975949546, 568038318, 981190313, 839934801, 731076705, 308765076, 49096444, 819186033, 121848308, 70048167, 433291522, 267715821, 205039677, 592805204, 319299929, 885698777, 511372058, 929917426, 125995414, 149593146, 378173517, 302916978, 392260726, 751594922, 402696501, 895475947, 442135723, 328589509, 513754209, 286390704, 709180855, 492694123, 166449611, 464697345, 526361930, 488788749, 928531443, 158484487, 837956847, 428447401, 864250592, 398249607, 869305947, 701822825, 743938133, 262454938, 639477906, 823531685, 624565409, 547453600, 716607163, 806726068, 481458249, 239251348, 870986740, 805274234, 294326136, 127686964, 597119402, 549132515, 605297229, 770281527, 148357605, 205384978, 651242353, 965017706, 402552297, 486551664, 112902824, 994657928, 833204318, 100259244, 953265919, 917913257, 169572574, 130576841, 377044599, 492524142, 697767640, 913104551, 10323877, 854551002, 184070460, 141705341, 37213362, 971900688, 638515304, 642255796, 534598067, 280654043, 886918634, 198479778, 801969393, 738096985, 725846998, 789502966, 353429063, 81959903, 503451428, 502892741, 639583507, 266210379, 257818524, 961709196, 756459501, 174365787, 959290232, 625277241, 187319629, 622669583, 778823768, 219913430, 766405926, 481760814, 579456342, 458888610, 585156669, 410860238, 306914197, 753019689, 794847260, 820699408, 698750276, 119911626, 96469984, 400732723, 972435836, 520100117, 993044448, 514252505, 28815651, 534081884, 250501681, 568185731, 899370670, 418614384, 218916756, 355712045, 800709750, 268575475, 301944096, 561825157, 184448060, 634721854, 533861926, 378212406, 772078093, 269433184, 126996252, 698777501, 721810714, 28087101, 687535443, 618074056, 664651926, 990624850, 65429409, 206178162, 379516774, 737428978, 993696277, 907080269, 890636506, 365954149, 372075589, 895539291, 200688630, 155093737, 217407844, 313369250, 281664062, 487411721, 782448068, 606642099, 408623587, 932294305, 431402982, 330435073, 81843943, 979806998, 199052785, 248061742, 694000650, 206143634, 497270481, 460595782, 592159296, 721565842, 949741474, 159068462, 317224176, 754896533, 315677303, 523947264, 390911335, 498970408, 926554262, 206207584, 29159701, 345630764, 900017854, 862775304, 285288725, 286757121, 921923860, 237932922, 550426579, 912594793, 939091280, 682666570, 432894167, 108345360, 346974721, 626010936, 727440122, 893700162, 24427209, 780211311, 215237705, 926933860, 514718056, 558913948, 546502064, 680001471, 331080809, 829837662, 940260271, 920065237, 329586397, 240802001, 66061750, 644707066, 454416644, 639583822, 189923386, 861059742, 918108818, 952514870, 313067234, 762961370, 617122400, 716367107, 416111129, 793769920, 994579454, 174294660, 248181693, 865607163, 999612287, 886616722, 812267661, 896452488, 268929903, 935083768, 625326191, 321815584, 758910465, 94325909, 424456375, 366318098, 576671933, 752702039, 607984122, 954793058, 528538097, 631521441, 785409695, 711247709, 129886807, 723174714, 579019024, 427531135, 792577934, 781814716, 301976476, 276836254, 423758968, 138461301, 217095310, 559241948, 251074859, 121758120, 672695387, 62634887, 678739134, 60803625, 264413498, 872794947, 542608089, 155102053, 891599423, 593557492, 156314271, 391257589, 438763959, 397186178, 334079305, 801519993, 572384721, 345572421, 422482995, 437290636, 756070197, 758153784, 299011331, 228449661, 905562385, 434695259, 442618304, 903574091, 816464082, 399504768, 43393125, 567699662, 131345620, 764297345, 726119381, 488990960, 386878970, 439910989, 375851945, 890203966, 645881115, 735114187, 413663934, 25616477, 587727201, 130229047, 567982580, 970916394, 426600189, 709198830, 503618645, 314738216, 875784367, 820105548, 786487762, 747375788, 100935413, 380531094, 870586371, 184424237, 180925452, 249080301, 300873502, 707095615, 991649326, 604409542, 746179093, 448056978, 222712467, 10652066, 295170028, 379912045, 356226814, 756706027, 756702184, 602355017, 507271882, 59477287, 567562787, 506417145, 746326779, 491088687, 900164466, 690226362, 174394369, 201451106, 905837076, 57510648, 520338877, 531968668, 897624432, 292988956, 106847123, 728612905, 782846108, 723426789, 178445313, 228282496, 531425874, 922829591, 618799612, 773976976, 651204481, 950326242, 203982938, 143930337, 105098311, 502859877, 332207266, 579771900, 940568866, 71774420, 349028765, 733676706, 986929313, 226123177, 620869389, 319563133, 446485371, 539266235, 722918988, 814852538, 539538060, 39938660, 438355010, 951593634, 663448841, 593198973, 79814677, 660590436, 677357699, 440613670, 593202513, 503089629, 760195487, 250838500, 919950306, 646537243, 927152562, 592441407, 538104302, 536409150, 63571155, 195702296, 918404527, 162808808, 693940238, 560230958, 737510986, 992392320, 844265228, 695521770, 300308712, 786523306, 487218310, 192343466, 661469699, 108679465, 430226867, 941561661, 461895340, 112417918, 736377990, 696227950, 240271069, 206256338, 935980941, 859978405, 353098420, 111547317, 152239363, 296988839, 477144360, 128393417, 77685469, 763115205, 546450049, 859618098, 567035474, 829775445, 372053443, 677584951, 854608609, 586334765, 303868057, 945647995, 450081540, 245322512, 50888693, 646961712, 809340243, 163667088, 967984985, 37105772, 230666976, 471431092, 865794920, 557360524, 196712220, 339655058, 984593717, 71799367, 836631493, 767861911, 195845936, 847825229, 513338989, 802246030, 100630025, 146623935, 496400989, 932211814, 234071598, 224569877, 212150251, 989658302, 773018140, 976829309, 210704071, 976454018, 227206920, 82585603, 20943243, 941517943, 980858113, 716249194, 468918057, 297765611, 189316142, 704333714, 98158910, 660412419, 774432518, 256872964, 178332466, 149690971, 905953659, 191707343, 673508706, 328690641, 152589756, 642170662, 375870459, 82332887, 99686233, 361876656, 531997253, 587656815, 636795244, 376732436, 281463785, 333131270, 647351778, 413343918, 530826653, 121568113, 646639273, 918388676, 180500470, 141528682, 795381584, 243632557, 949920568, 770960434, 23477918, 367109645, 280753972, 931871308, 777106938, 807302416, 119782236, 838050188, 517701944, 521018678, 279999069, 95294174, 913737779, 636716456, 213917257, 313642548, 724258807, 447114817, 435888466, 688936509, 47173272, 757534023, 459798670, 218477703, 224684154, 883265694, 862519344, 103648905, 389801582, 376781257, 649196382, 193076183, 176342182, 370017815, 415275631, 159459129, 577741346, 183493187, 934288505, 247335347, 680384923, 640793051, 446100812, 472090670, 104942002, 443836486, 490041392, 177861385, 182011718, 801415588, 809341777, 72587813, 979246912, 373413730, 543484643, 164487103, 622207939, 593024874, 889723386, 281975696, 224739623, 847452859, 27688987, 249712284, 49278176, 778315245, 61413908, 393049784, 885481747, 700978812, 723208366, 480023487, 158133910, 744919697, 806460295, 823887288, 210260880, 457677739, 661354635, 237870652, 806351141, 832699714, 595028474, 205208168, 971927854, 620022468, 261394736, 608445279, 70608879, 316478064, 600923836, 184037461, 511106281, 211892154, 577399998, 591623370, 330101496, 12593437, 354113973, 838697794, 583284694, 481393874, 687939971, 407908306, 836809663, 455605995, 788731391, 825055676, 787999762, 919830905, 695143520, 985655555, 914583133, 822069478, 827882170, 259953787, 36258899, 44924245, 482745229, 160721907, 441951657, 13756175, 788419518, 239467471, 374394446, 567140355, 179443822, 367630466, 626006099, 32115082, 770233251, 492727231, 478887944, 49498660, 732566538, 359927810, 694733241, 61383462, 691640937, 793612756, 136625897, 217858549, 226697256, 224263712, 425925466, 968665597, 674867775, 823074177, 57135845, 585582062, 715076040, 16222845, 866849959, 420382573, 576433211, 881826771, 682534407, 630957686, 559897318, 915979386, 542457716, 183018756, 533483784, 303313739, 836061103, 52095550, 703490829, 804568453, 727605640, 17741610, 750354895, 658319560, 602467989, 152247655, 640059348, 147546790, 802741668, 491599574, 359205192, 128978041, 335392585, 920059071, 724881286, 164761861, 74506138, 251655400, 376606047, 187632675, 954085460, 491543906, 314263706, 541062769, 386121910, 460000369, 239530270, 667753828, 766688938, 293938179, 184910094, 670113885, 893199925, 771504370, 948104827, 701269977, 641880425, 220216127, 731833509, 586288679, 196876265, 842847229, 258464438, 770351034, 651737610, 601857225, 845208530, 595359819, 882383666, 56413156, 804256367, 506536033, 677124433, 252185609, 964068805, 537509060, 671176618, 165315873, 41014665, 472336214, 898902122, 683936452, 198500860, 170436612, 706490309, 38423920, 112712878, 495319565, 892397346, 423861052, 906994181, 144585515, 277837207, 176663919, 182309856, 272310725, 147517632, 92438574, 215878046, 639965865, 740778766, 600302269, 172452913, 88162526, 868882029, 863756969, 920355219, 319549022, 290145457, 968719172, 223606840, 992979019, 286752499, 444628732, 234516285, 456064198, 222598220, 62019544, 246705815, 477455618, 311305598, 972631214, 58570703, 699338302, 856781226, 515276101, 717064938, 281106287, 963140726, 742666030, 542940631, 617610884, 718051984, 9458187, 281266719, 974025170, 71010849, 945000308, 957312201, 12661887, 952210413, 37586241, 244367147, 693355069, 768621069, 570128064, 286258546, 14209477, 656843801, 428674664, 208228544, 245281137, 773344534, 162726310, 829385596, 79419488, 29622322, 26364387, 236412837, 564124049, 578043092, 181981427, 378318581, 951698671, 646657929, 654453223, 97630280, 337799602, 466920219, 654768773, 40999192, 104101280, 596167394, 541048870, 961765887, 95775979, 611844052, 679343016, 49706730, 214281688, 336615021, 429098028, 187109385, 522822226, 999131590, 348409261, 928001355, 800795138, 115249263, 817916391, 598378394, 901810915, 15426892, 929183101, 836639467, 449226988, 803376748, 516864930, 595759449, 876179767, 302810570, 911105003, 754877076, 627357498, 277243518, 852714689, 845500606, 747059088, 826752809, 494131778, 90643925, 218330975, 473714548, 278485257, 325158152, 313443972, 864013402, 620460524, 171319262, 826599922, 302716081, 507641478, 644252176, 279360256, 811783829, 418522458, 563650588, 818568140, 828179919, 397989588, 398312466, 679213376, 901671329, 723516429, 901751708, 724950819, 972463050, 129760569, 548945517, 256587032, 683859186, 527168802, 870762572, 471671274, 228150215, 976998768, 397350704, 277022553, 352371755, 634518561, 944496870, 970417615, 565093552, 323075343, 695646928, 923049675, 127509861, 426939471, 80647168, 278587870, 986101073, 541892219, 153184724, 281448877, 915817759, 675929611, 660563444, 803466012, 619169162, 376148284, 598717220, 471163578, 660758257, 338496830, 840989232, 187014176, 197286497, 551485906, 501175098, 54454374, 30365751, 271075152, 424823263, 593152331, 969861594, 527487488, 559978081, 535208831, 439400614, 427620258, 884716390, 805154667, 442355131, 292627100, 556411349, 179758470, 129390911, 764136577, 671854115, 205764046, 202448424, 238833900, 773462265, 253384939, 812617559, 354045667, 688097513, 429441745, 732315839, 516989520, 703830955, 919763229, 75294885, 617500955, 172388021, 743020974, 470001001, 613497749, 646195932, 367451432, 882315779, 43497988, 487948579, 557252860, 232058132, 524476577, 839345455, 993776674, 420250222, 1913133, 454045963, 914470548, 774070945, 342734955, 173226677, 620101764, 304759028, 984123820, 81225448, 307537157, 424216080, 122575324, 500081254, 695099937, 811189310, 482832521, 752463613, 857278114, 809118614, 823548858, 195669101, 261692553, 42773179, 586548671, 240450526, 559459840, 798835970, 868765894, 999872234, 342758104, 17764630, 472872145, 196338709, 934444670, 888178235, 84660711, 839878120, 578087845, 698797046, 575891142, 316849797, 424624362, 780510560, 644352590, 626612877, 110517612, 237891092, 569186058, 386881298, 923874884, 173795807, 806669314, 341186257, 228287547, 246554493, 545970967, 410859780, 998136726, 993522176, 902292008, 863049491, 223587499, 19496433, 773060595, 405926224, 924269855, 231393751, 328588237, 765748592, 682696120, 757190467, 18792577, 386803083, 497830525, 395988661, 408935545, 69474536, 380255480, 766835024, 22681387, 762002283, 877392476, 532258465, 790444418, 472439415, 85883557, 44878408, 975894962, 748379242, 484876275, 445800852, 636377636, 990959012, 937235068, 330612604, 12467297, 282339212, 184661749, 193339062, 451228795, 538940041, 707576411, 867118255, 414696298, 703008715, 563315975, 308224864, 391356790, 923133549, 657896048, 433280274, 654098768, 218504177, 277676776, 248400497, 279072849, 168938385, 914725779, 199607979, 951772405, 38589679, 156599831, 478975954, 53681060, 461656714, 223350405, 469194693, 935552940, 496383908, 448465991, 185253607, 719878247, 820689070, 681472723, 47407593, 488612871, 537766625, 540819211, 728713922, 252352715, 746308276, 132742427, 637614102, 818555327, 113697671, 637530328, 418332040, 446157688, 387243488, 334661624, 409410725, 56015245, 882722365, 367295491, 901027463, 794551603, 420177205, 633556901, 214533284, 206157335, 464651555, 808338321, 990973969, 368172382, 888326931, 276141218, 951786507, 351330032, 254253330, 162972076, 433198264, 957833273, 552434934, 937716921, 299277434, 334046503, 947587349, 997835410, 147226679, 612135318, 650868657, 48608212, 638841584, 116562312, 67051100, 257074132, 552480989, 493649344, 128397634, 971327381, 740553511, 421439501, 284611909, 753006851, 908168862, 56138391, 662379622, 37639964, 231723248, 180986054, 114003435, 817174841, 709687984, 786055222, 636694325, 900653619, 98235204, 4711197, 516854899, 528389917, 587599108, 538460343, 2764429, 134983680, 221978572, 242313151, 199344927, 935549253, 380020379, 606425865, 951847987, 809348110, 880041450, 203170148, 971360092, 738718955, 619946809, 843667553, 770468189, 468756390, 339835011, 18736880, 556973580, 800215569, 463187887, 342354259, 313727781, 278073554, 704692555, 724449516, 911499786, 157842319, 119603932, 415291609, 430810296, 132546435, 181079145, 211586023, 626196615, 767649903, 395487822, 70511601, 696503364, 238839678, 283255737, 307431735, 130129005, 139211810, 785569410, 255589422, 187332572, 157519975, 281610763, 775352768, 373144456, 972532112, 419823028, 285053345, 464928355, 363682110, 469854815, 90401612, 413984341, 784175133, 553769787, 900472192, 358398467, 439896514, 649956686, 927503116, 477154221, 301288347, 668649156, 330976866, 261704175, 538154137, 392100474, 359441208, 183656866, 741697161, 544007107, 610320916, 908430466, 506991457, 683407968, 374300015, 548729042, 49450102, 627618692, 780220556, 822591767, 583816920, 654521963, 694013265, 401987244, 244292376, 326082751, 251283375, 93248080, 992759449, 56937713, 24465600, 108247816, 961829522, 789457735, 352685433, 337913227, 67902597, 750133939, 486610936, 338123792, 179907632, 535494034, 226127448, 875119800, 590247702, 580361870, 143520698, 810481745, 686505013, 762344956, 352984990, 92135135, 322748082, 283763199, 467105271, 117105077, 155498379, 238507790, 326895033, 669816161, 552889777, 396771481, 992458264, 785996055, 809239797, 817017877, 57094253, 965558634, 207470353, 855196839, 186851546, 127469170, 620433282, 243352928, 410521534, 190212699, 830120638, 571548048, 357836282, 660186128, 378058742, 350246209, 575398937, 46431318, 47752769, 602409341, 321279087, 401376194, 854196437, 659422639, 473520463, 862296335, 721525654, 858965248, 226733709, 85194717, 102555190, 260250087, 289514521, 235179832, 698968630, 647471236, 202503307, 580385309, 649909599, 742070822, 484246120, 365075406, 784896651, 144737114, 313886682, 733049240, 933702850, 310640161, 122097778, 675681822, 519495675, 910382534, 247269379, 658103888, 798878957, 775107953, 671672820, 672451421, 349972413, 124806330, 528396773, 372005098, 612279007, 787864930, 664002059, 562251608, 60958261, 560928871, 660934128, 53976395, 21576670, 820913125, 172248379, 658537841, 278384946, 27117462, 761099682, 226440057, 365933137, 728517659, 165109077, 418207544, 460599736, 49712905, 637453334, 944289156, 160156879, 727501276, 102937410, 843375939, 547936181, 672807900, 186620365, 316375162, 39238831, 251245059, 96480966, 631355815, 901320348, 979823934, 630892660, 323439069, 910291436, 201145450, 251559498, 520531822, 719773012, 639607695, 740067248, 771437766, 988203645, 605267457, 626403557, 219166347, 501467351, 625905676, 812950168, 464569225, 665449793, 715839673, 101220427, 324586669, 821202461, 586933322, 865305405, 308800566, 164707277, 173763732, 125958629, 842726979, 173504002, 468054664, 972425841, 811900999, 580363392, 147617601, 835509798, 586268817, 255766342, 710683549, 81054839, 853371585, 779155196, 211419676, 215702924, 841940332, 523658258, 106011703, 808359275, 368833996, 611079143, 644325712, 148509006, 276750666, 974094231, 910761251, 166254048, 189980545, 747661621, 649393683, 140168362, 112606454, 417041566, 532425453, 702189896, 818229909, 36582856, 376097954, 736240669, 959936089, 35098257, 353251615, 729146668, 52502076, 496370666, 156534192, 948596251, 593148087, 130375235, 771601255, 27723479, 814112238, 197353412, 838159472, 491869831, 553427608, 738204568, 367305902, 253851119, 641950056, 606707191, 101126064, 942332598, 914747161, 976250764, 747862552, 802137931, 593659481, 455638638, 711652350, 159254369, 820734447, 609361237, 317743622, 690056596, 120541526, 318554890, 866047389, 990423498, 26552026, 459608194, 509169633, 150646280, 800851394, 221294909, 940195473, 199772394, 708237922, 580215162, 201358189, 972625651, 562590992, 898786720, 848625244, 130211626, 998588457, 276062186, 770813342, 629020424, 296020606, 765637682, 494837709, 549351307, 51202478, 746257728, 132826123, 745360694, 164045193, 753502947, 951762166, 763745617, 147003822, 566873293, 689310305, 608389808, 891266120, 61881636, 794146598, 703680901, 345562574, 94844606, 527617208, 378625152, 837775172, 459255739, 952773263, 3910784, 620019536, 728902861, 29737133, 69000193, 471047579, 683560250, 883734875, 735542594, 433980112, 862184157, 806494463, 643927846, 1260790, 957737070, 438925264, 152068574, 440734046, 366965622, 326004607, 792741555, 480258936, 187758095, 78102796, 607499604, 942737999, 150345910, 489338894, 31431213, 96526654, 913927086, 660213893, 567300418, 128020074, 487168112, 155038325, 263963376, 677042663, 26344860, 235159292, 587885849, 366422141, 544144665, 198998295, 687944977, 272309646, 1558838, 140370765, 292674599, 886424664, 440903662, 434935529, 171364745, 475351052, 950326251, 846483214, 631050117, 186579712, 873312028, 463333178, 339375413, 565769586, 117268184, 352587014, 256978061, 192857391, 872802971, 457990054, 44488193, 573256176, 83728087, 103056749, 785579001, 315428427, 868168979, 153181406, 698657314, 448655731, 867942952, 10348205, 374511484, 124739575, 752195756, 144637140, 281096310, 548446730, 841716408, 230920634, 134975068, 673712028, 87905828, 588381542, 691269327, 185416091, 398606705, 154204, 781000575, 607260521, 490345209, 591993472, 96296926, 256705569, 622251118, 990525939, 345635967, 870712667, 342817748, 966923265, 779675456, 63012805, 941504268, 154067712, 30259265, 518675449, 970905121, 933425347, 539160890, 654218086, 777678030, 27135596, 536515440, 641940479, 505428068, 137495111, 184096727, 921463563, 77530425, 87171947, 610944741, 401130695, 829957065, 712011461, 254156195, 592106433, 3178536, 909861919, 683676992, 671911192, 836376054, 291600465, 564561664, 86267478, 595213415, 739154762, 828644225, 947838610, 389031844, 697740158, 923753059, 110317989, 981756799, 425617564, 395377178, 583408252, 947426712, 425724830, 168728654, 953580474, 422961103, 755438460, 591307945, 332981709, 91903585, 605172595, 300895246, 939613098, 903238262, 639761308, 788521612, 619795476, 834117676, 268016778, 63083761, 317729661, 537958082, 917249569, 426133166, 258333276, 665295092, 492789168, 481059807, 865583773, 136579696, 576010529, 95311269, 662109983, 30159655, 415833906, 527410808, 127784161, 907309728, 20492066, 370484898, 904276, 430833131, 58156061, 440884857, 13512197, 596764219, 216277803, 915251680, 70112810, 287633300, 989541579, 861315207, 874906441, 151973011, 479738366, 593707531, 591293349, 181434296, 495686347, 590457701, 130226981, 511155165, 105362323, 115619176, 448545746, 610364315, 80535625, 605479066, 856468648, 555572550, 484893856, 125171029, 828282631, 24773241, 52260854, 270645178, 627339677, 221435210, 72539087, 537869611, 246661668, 647484866, 699982624, 365206092, 550220071, 373889871, 306383593, 947251694, 949752938, 947418133, 264335760, 579410851, 582406686, 472265691, 962600000, 371579081, 313490243, 138513687, 165377208, 205834408, 402623809, 798206125, 88959978, 56982090, 86692718, 973703419, 232437734, 342255950, 315941605, 804762126, 971189258, 874321994, 715677407, 284049032, 937082522, 807553455, 650281605, 674384241, 620330757, 982560761, 770613120, 998549460, 561243961, 206978316, 743960018, 636674591, 244374138, 354913062, 849750121, 5560236, 775851908, 951891170, 552525312, 731325023, 259997041, 649341103, 960377011, 862863567, 844587856, 499081282, 553632003, 111528312, 664470570, 433329449, 950270396, 156582835, 467344570, 821551208, 973350710, 808207976, 546381753, 304533747, 741355803, 401661311, 910541552, 301145392, 647120912, 45789386, 776339013, 367147003, 221556320, 872217147, 475358444, 179411142, 512822315, 503491767, 417096999, 358070270, 642118631, 927791154, 716250120, 218403963, 299720485, 158491193, 723273760, 409675150, 140829728, 536626499, 634305565, 906301950, 446195249, 896743248, 152971623, 253715324, 857011953, 535614701, 61738417, 231705097, 66900874, 91541353, 651221428, 850483773, 551974400, 751365263, 967786418, 952350687, 773850385, 832276273, 175710382, 479105915, 272421331, 614885263, 83890396, 642469862, 123833323, 402036882, 525178302, 359682748, 370481361, 417789550, 755528834, 427846241, 968624206, 445237634, 830368376, 724369380, 143458206, 726162354, 293792799, 371629214, 616436096, 556734964, 227344632, 403173585, 467748545, 550212781, 393533866, 451115325, 55262707, 802055255, 859575865, 816585000, 354218330, 204512506, 705463578, 612215509, 93132747, 890371178, 325539314, 505076009, 615630441, 660480699, 122975311, 889130968, 414285555, 324148357, 748688082, 590959740, 284735164, 23254324, 683581633, 253034571, 398837349, 118548164, 318088348, 803123585, 228070291, 95192170, 177746189, 612859566, 492260627, 78566336, 315961823, 557397067, 872223060, 749431839, 73620436, 141041980, 371349471, 557368137, 30577247, 120960927, 436466255, 973792644, 904100640, 863498923, 885874753, 795770248, 550714389, 82033884, 792653857, 211453518, 521111429, 380788987, 394726702, 599357063, 449599058, 843913661, 923894328, 840770108, 676040156, 337761751, 556117949, 62278243, 582806182, 53930493, 623148086, 909837281, 799999355, 874297196, 683601041, 182070728, 695985152, 926250732, 814673942, 500590932, 888021422, 984303811, 719737476, 36715831, 196811810, 575035046, 403494161, 346201556, 938769320, 804897909, 301390119, 1263384, 420122719, 429792765, 916404256, 111581760, 873140541, 950038906, 226356606, 737234919, 913603791, 348374433, 45774736, 43605369, 337694975, 663735286, 396273012, 523029091, 645052881, 9901980, 827909503, 363424956, 862248704, 763352587, 668719364, 487656899, 705948471, 36816049, 446095347, 945534157, 738815911, 604696874, 55298873, 399546161, 399965498, 550088877, 229565403, 657388262, 372691227, 509794106, 859565767, 426254757, 461473581, 143448595, 991993666, 449698783, 36297451, 307551354, 746037862, 56760110, 457741093, 467275158, 278275219, 411190092, 237528705, 913524326, 418922309, 838858325, 971669630, 864218897, 655550124, 553795312, 554222208, 667260113, 599528533, 50423070, 268646598, 594248142, 920513190, 6237994, 452349752, 991412768, 412199671, 60643934, 572047614, 66233451, 40166888, 448667264, 15419032, 702602243, 210456209, 570727861, 168207178, 262340890, 285605665, 635957969, 711011944, 692038068, 865686695, 181942335, 3121641, 604353418, 627436721, 682297836, 154939108, 81128403, 817245092, 347257060, 585119056, 607020795, 790584184, 589877500, 762381128, 27228748, 550811872, 885132123, 54374852, 88413412, 261238660, 972185056, 696056202, 378902383, 312024803, 334722898, 525460340, 572363610, 458633758, 962397979, 572762989, 342709514, 630809155, 285855471, 568232519, 909037856, 794616394, 983536228, 43496949, 557905365, 306484841, 832560073, 775740442, 881813056, 451487157, 25535871, 864757162, 842332613, 18481143, 529536438, 326361243, 589197096, 792521603, 532033640, 47389378, 873650406, 708989137, 768562210, 103823319, 65945204, 784496483, 445089304, 672162276, 404169225, 286651231, 878875149, 650505516, 253746733, 865322303, 52690969, 694002328, 427759579, 415746536, 781742531, 335424638, 430013924, 490079771, 9943360, 399062439, 886330522, 687814063, 976213110, 371372842, 214373639, 527264517, 12173787, 163384275, 546868303, 540323733, 946453458, 226237810, 300221862, 412840051, 669294402, 641936613, 292645443, 315519911, 728352526, 458226052, 546785163, 263462741, 403752629, 230281430, 687889384, 624818007, 806072861, 361930601, 408387900, 328418229, 769393599, 949767289, 754950199, 406209966, 710392146, 593523789, 728357475, 549387164, 688603670, 483819332, 417376673, 207546210, 744024663, 772600826, 483049585, 886248443, 271342650, 216252862, 991394591, 656530294, 165288336, 229045636, 256062228, 106408122, 445451532, 632815157, 34376587, 198212080, 65683699, 714932516, 562296394, 350467107, 681119163, 500661421, 942201613, 33436726, 318498939, 67704704, 772430469, 975816378, 608781556, 366532602, 140232144, 966361080, 660191024, 83634447, 640500020, 690918435, 331708301, 372438838, 565835115, 808066971, 450832573, 218217728, 164129506, 521411904, 376980265, 256192596, 507584828, 258870903, 944570800, 676599072, 258832998, 913984417, 767030274, 552320992, 647625077, 916283361, 671776634, 685255274, 843840238, 25948010, 527558374, 593422299, 747487487, 122825539, 890070207, 700248798, 95460173, 193876453, 970660701, 105032705, 509446895, 163352843, 413157125, 168637737, 478314906, 830921297, 207021512, 677862497, 740715531, 6624579, 307788152, 699906878, 559109733, 972270512, 441367423, 832030151, 660952890, 513246692, 872818602, 689747068, 56455147, 954041746, 914778521, 724112037, 255475106, 250541777, 273675771, 745664323, 109313078, 562029126, 114022457, 273834881, 23240835, 38183968, 723848753, 630001789, 4101864, 771778324, 789401154, 245822201, 482972685, 638405196, 929109489, 522489938, 256962182, 858123508, 738377667, 755198136, 453669910, 175600977, 215419491, 975388309, 1341551, 732049942, 228388576, 193950768, 779212415, 209200986, 197396478, 398819315, 570642256, 675313605, 512923638, 455802113, 751368409, 792319384, 717305022, 983090558, 81196302, 419595775, 369590119, 392057145, 225551885, 117591869, 10987196, 383340271, 432964419, 425989569, 187089116, 943909683, 14997552, 995605691, 278566694, 82083968, 555887035, 816305135, 890641557, 245274445, 807293387, 231259532, 198652027, 794125132, 975194455, 278487549, 707715256, 214745101, 690168077, 774917214, 152991753, 534900948, 810958074, 703728244, 123525040, 738863204, 66685481, 246327294, 87236325, 430163101, 318493496, 607515299, 809485072, 18415703, 145332253, 799981218, 988309539, 920810524, 580764883, 871679443, 459915359, 686331534, 165321728, 219913782, 83533550, 185509961, 926348141, 666759786, 636715482, 52262111, 660751248, 626666374, 18728321, 915280576, 32705376, 521892735, 883712957, 449411792, 617647110, 952209142, 963086177, 44147852, 168661743, 359588306, 469136284, 384452900, 887052822, 165877397, 972801305, 583042150, 817623663, 630806586, 913071020, 436023233, 773577742, 269239176, 506825173, 797471073, 425565824, 868596770, 61810602, 472328253, 207343987, 706613889, 808120019, 308556276, 462301920, 249197357, 594191044, 590255708, 275078443, 132267816, 975439899, 498830245, 815524146, 853737533, 799020191, 268883223, 616159941, 902046336, 710727747, 543802411, 296705630, 652437341, 852892329, 673803490, 247686, 56673706, 747240110, 312584270, 848628545, 772143589, 920017422, 966072022, 809240159, 61846261, 885207646, 554080908, 394269600, 235763422, 169984595, 370038207, 669818483, 154972286, 874095156, 529461364, 843883814, 326233207, 930683155, 248470639, 988953775, 64747049, 998167888, 503078230, 775109019, 170863346, 106911199, 992411058, 293989174, 816498418, 782357901, 122944638, 726658681, 322203367, 766625116, 290987939, 409187408, 361289236, 265700234, 84954305, 987115437, 875509660, 695407535, 545983262, 734854605, 26260232, 651892459, 373531196, 393156367, 385793910, 926144629, 940089174, 614626622, 422246667, 889034293, 10157176, 965305133, 581883975, 788785988, 284548600, 272184811, 58066463, 243875477, 259312663, 564849730, 920478608, 638830717, 187048267, 158272394, 670180068, 906875759, 579708997, 915136613, 506026541, 606981038, 713710218, 252223951, 937559665, 758734935, 748553001, 442900274, 701974261, 418254280, 858603366, 604774668, 145289820, 654766922, 437555790, 356495277, 79914321, 68588378, 457051902, 70511012, 736044940, 558895232, 46404403, 319273954, 315143273, 543934163, 349335410, 76277153, 978287821, 419814361, 633883644, 185978006, 226229967, 358351668, 226348145, 884917733, 461247990, 291757446, 303906649, 272725723, 361263479, 824464670, 642200502, 657355565, 48958996, 329164789, 151923716, 678265507, 475803121, 113527682, 906508381, 174862924, 200463375, 540042909, 685235858, 486276306, 539136750, 771690258, 36620006, 226525121, 100522554, 295468063, 61026113, 380704974, 62227708, 463393930, 424036891, 67605917, 916975624, 129336240, 932152680, 680110289, 628555235, 198525727, 206174520, 27346133, 424054251, 374591262, 305602197, 283387367, 449425755, 155646449, 244254216, 64199014, 798096446, 943440238, 530995282, 92045871, 381418275, 989047448, 27372176, 355370600, 279520839, 181715184, 863623389, 858314765, 48389427, 15393510, 432341180, 121917398, 620207161, 916690744, 248390926, 444214925, 548706444, 337216591, 220463718, 418488644, 730701174, 441820320, 704203526, 834603621, 460985406, 738874912, 908327294, 44640929, 212671255, 565167684, 393814042, 735288712, 721206895, 518482816, 381140941, 417664478, 807165260, 189755908, 400186575, 303259190, 69185018, 469908871, 881632243, 896067877, 549724019, 236553338, 929142368, 115036899, 324746567, 471249309, 99237378, 386588466, 737799053, 898789757, 536034271, 850726624, 696340173, 679982626, 700495545, 254139539, 506626701, 742061832, 36646263, 813532022, 267953463, 991772917, 631499621, 261717487, 948874681, 112702910, 358090968, 775308156, 790469068, 373774125, 689435158, 113845537, 944309723, 103086222, 587437792, 442505825, 955659299, 822479969, 75929908, 414705383, 881874393, 796882167, 121016121, 480429108, 683439022, 165153694, 477300320, 168437019, 928454754, 228697590, 625987462, 792553058, 543375217, 575761543, 493078687, 275735428, 934847132, 151158514, 310989741, 485921552, 835219177, 819143563, 202177779, 214149743, 93873331, 249551044, 304588686, 728550248, 419058857, 492166808, 104093084, 464246976, 67803533, 369570385, 719503273, 663796880, 435975223, 598361030, 609847853, 128919527, 761942030, 981399429, 117242577, 923181498, 55149415, 874572728, 303048462, 287943100, 998991697, 19115703, 173800483, 211059632, 189241183, 996595127, 792473146, 582352480, 911040372, 366724361, 639367351, 915483368, 95471672, 426834906, 963060060, 464101347, 68273671, 2341270, 853552608, 799688823, 871374119, 256375927, 68388439, 127954007, 959344388, 348976726, 959258807, 733111030, 265717621, 65985958, 709037003, 684260638, 300291856, 654566806, 134579059, 885238268, 780253265, 877448542, 561997523, 500194154, 684820017, 519513159, 914706809, 83437914, 170929289, 393202383, 324027501, 227735062, 850375694, 30205220, 681358596, 30410756, 237304965, 323070818, 797537448, 25616963, 632003531, 619469237, 184976183, 58537164, 112382186, 569446008, 809389126, 509179169, 267814615, 226133980, 331442730, 188321025, 111020104, 728640900, 542188253, 139839698, 450509319, 127261619, 839171984, 647038920, 484874454, 199750942, 357061765, 645847161, 7560695, 63367623, 386152488, 25348094, 697882748, 226412164, 557756335, 320851051, 426094125, 586781322, 480684615, 157268079, 51987820, 671715772, 187320255, 814937799, 730244475, 530772095, 649736669, 407348304, 805891326, 772586122, 306255918, 294921104, 696569664, 330613594, 818468268, 703868881, 574950598, 117436502, 513572463, 688949047, 186581234, 242668426, 968908492, 58691872, 416168282, 297907324, 120623060, 509176547, 507482716, 519724103, 85972711, 925203982, 158659710, 865364490, 507145484, 393922874, 733006847, 45269021, 830801459, 150396250, 616289141, 578899217, 734134024, 328702650, 901486738, 3984002, 5705505, 335620742, 855000392, 770307290, 417196881, 750493321, 971381486, 207659583, 608270963, 875266615, 102981449, 870837391, 952780965, 60328358, 966216793, 444654308, 340461478, 650901286, 617201589, 606312959, 53990111, 233465169, 772964106, 777510565, 289021480, 372706848, 4468243, 628444786, 863310035, 88591576, 591644749, 463273284, 367312598, 791848167, 741414560, 265217350, 635358523, 123654254, 317294768, 649501454, 275916638, 631786015, 946840823, 310399512, 932911978, 6134969, 678245271, 279317599, 168338749, 94673018, 732029643, 708384871, 345169628, 270469369, 529782520, 449719415, 917199830, 184020461, 697235376, 554485284, 967122452, 102779432, 106014520, 384104117, 269946290, 538913778, 307803560, 464639564, 395498010, 437344058, 986703022, 667762188, 203379052, 308661339, 658763522, 164882446, 579143770, 639969073, 875867704, 146243780, 294343177, 894153118, 123164026, 616824629, 585243236, 787645256, 406014529, 831892166, 764639558, 49795792, 709210788, 143288280, 944589913, 670451458, 636604746, 199913816, 44711982, 702901136, 154201716, 93412218, 184123785, 451533852, 799368906, 602098033, 625313942, 468300853, 907696079, 49015703, 498364241, 622175095, 883151545, 223907478, 637868163, 942719089, 615128681, 632838897, 403604492, 565165379, 716239468, 342928942, 444059621, 634646320, 818731926, 397470242, 560074853, 57669244, 657353947, 680634498, 203222375, 597496360, 712920749, 102248430, 741380638, 795476400, 554103189, 891518000, 175817158, 9768620, 166220575, 350207135, 563014487, 697126335, 468549836, 366168742, 956876988, 77989735, 16803890, 492091314, 983588322, 702807493, 798242058, 81318862, 631065966, 54338346, 326600787, 893063098, 889086426, 337999978, 402779191, 2458783, 742951499, 554344512, 271482619, 262694572, 838149233, 956610653, 86591257, 692057217, 17525753, 943735255, 395062524, 314626230, 582099639, 146244666, 646809172, 440147634, 252038220, 992018464, 901246598, 762522401, 109482209, 212162395, 811523850, 414871731, 303284289, 83065352, 749400549, 803430711, 719348245, 52087598, 657730714, 644512696, 250892956, 390838192, 99479848, 571583078, 973246908, 4221601, 463549077, 118180061, 894384427, 150331299, 42029388, 193556976, 650164029, 716808554, 291519439, 206855953, 818172063, 953712438, 600825783, 87612831, 62580812, 573101481, 194210151, 733237450, 511978659, 338943466, 455926923, 370071606, 434808346, 499904136, 1578530, 399562183, 168389909, 270328016, 519542640, 440260315, 683575708, 636335887, 999596771, 646564854, 932417922, 697126744, 78790771, 152306815, 206824842, 92857537, 284078311, 839099450, 872089334, 344332718, 957990125, 345750444, 68907, 997994529, 328067693, 197231849, 199645918, 882493255, 744858955, 199109643, 290856376, 111335178, 202902698, 874557369, 385046566, 405424801, 764338524, 47703822, 377321496, 819327790, 462801230, 657478523, 939564217, 454610966, 408545189, 564934958, 89637812, 120912072, 1397468, 28896250, 143746241, 560952254, 550611439, 424971782, 37651571, 860608225, 780839734, 514584512, 839747604, 858538136, 744362034, 342836008, 267373989, 164083168, 136206635, 54542621, 712295402, 840871325, 851807982, 210618207, 472060599, 656410677, 161504117, 172020829, 83201788, 207585381, 206603015, 455156945, 206722047, 69974517, 862025303, 317225410, 577237162, 530800748, 301477573, 974890295, 241493267, 320458531, 918989201, 27562256, 662807951, 994848492, 841821070, 847341743, 97426581, 15783323, 690064837, 235663537, 845169862, 212780495, 241237562, 749375576, 267117956, 396067730, 986884027, 94677294, 758314287, 612343787, 334176097, 978649497, 344532713, 289535441, 863771748, 780292134, 905735440, 984331374, 767835467, 484577913, 415025655, 233562732, 577436977, 631498094, 411937822, 243720234, 718281124, 348234622, 357780913, 806032090, 155982709, 797821997, 662597701, 867748821, 441022999, 627093466, 379189743, 427316988, 31447649, 928195731, 871290142, 854549495, 940310473, 777041674, 881830767, 387691683, 166935569, 815690515, 824694783, 589713099, 92969066, 504630088, 304821076, 223324520, 974525671, 218688287, 510634710, 745910286, 955522673, 632044048, 322930166, 880097970, 34515278, 711504283, 71601451, 244264714, 704987399, 188764431, 124126857, 115459332, 778999183, 239412483, 296992451, 400939645, 820803394, 510838401, 894170600, 638538004, 329849232, 993805125, 398988409, 373435678, 981191906, 123738426, 176982384, 871581404, 588446734, 233584279, 507733047, 130363082, 824197818, 896479518, 831463631, 502601821, 720694724, 874320792, 200164110, 680470011, 867493222, 435811669, 972594802, 78084604, 918420610, 981271955, 615459740, 977985162, 586062411, 592450158, 635372564, 860177535, 920199220, 23089846, 742623858, 329261313, 720541688, 662367095, 635773995, 63766187, 37625105, 345867822, 368097248, 216646791, 234222315, 173126067, 2071620, 528587467, 220441984, 327565990, 767413440, 527745509, 81060519, 153414233, 178751194, 781332765, 993186497, 950873601, 205252280, 790284397, 398784543, 642239700, 457778342, 221203745, 28567299, 104255973, 239366319, 87157699, 372515433, 356957866, 800941371, 496931239, 776772148, 218811710, 449516592, 644389522, 973904951, 682340873, 898454458, 369376634, 856666725, 117680915, 155395253, 197325335, 443504520, 297642696, 653241672, 419805916, 571509748, 251807577, 860343707, 78309712, 497395866, 3107153, 748825575, 731413961, 465235985, 255669190, 119253188, 286309266, 514654832, 403118878, 153962305, 734465926, 897969513, 876218337, 424556148, 865559186, 858128903, 816470609, 623725530, 28671387, 811622071, 340023043, 67653398, 259560838, 528559547, 302614226, 843356540, 528213414, 787376593, 624363934, 861175746, 732385330, 691425954, 452274065, 868411829, 828348924, 699045547, 239737143, 964540669, 92293279, 159939784, 379890015, 135661886, 334895896, 94000218, 609174573, 230248439, 330328849, 94842560, 339637926, 67873318, 988944887, 878506567, 19794548, 995470246, 666084354, 25579417, 551239335, 105019642, 318202489, 56476001, 259533942, 869954844, 598344990, 280861458, 478895992, 291294099, 639964119, 499907884, 953428619, 452867496, 616216540, 964507910, 360486256, 149818312, 978921988, 63549404, 880177684, 59325767, 105141560, 85447942, 45105319, 40611515, 671745231, 521846637, 445650881, 896525484, 645681992, 120681477, 845589659, 693705759, 751179002, 414504541, 404635932, 650645753, 60233135, 150991810, 153508977, 935103259, 612537078, 744874571, 315336833, 596066484, 946366709, 691265672, 249006225, 151100770, 973627096, 679801847, 779792602, 609946083, 47012720, 468385780, 878252609, 358464170, 119610670, 94491688, 297033986, 272684836, 699605465, 78903846, 45448882, 580452385, 468023517, 156289568, 300256527, 482437761, 210553345, 732433437, 475611942, 222760217, 660519680, 960968145, 743088201, 934102399, 822950111, 467904702, 955851820, 629357975, 741229226, 898602388, 349341477, 323877098, 3370871, 981589194, 362809749, 418254680, 146071819, 761196847, 530555833, 94218756, 39687439, 74610854, 700708611, 235963412, 720409100, 739320716, 139380333, 20883922, 598956445, 673946598, 577984877, 719561268, 318332982, 264908801, 830120205, 414786847, 359981680, 712490848, 782559216, 342884817, 788483469, 150667055, 515161439, 830993671, 131180703, 653233033, 199932422, 998782256, 550851713, 56702765, 889107210, 105835060, 365878083, 994724248, 701578689, 998097250, 696739399, 977726160, 589951820, 649439579, 53841862, 593943647, 641539068, 64337365, 422643129, 152695446, 770144832, 799898377, 24948396, 138520954, 852892894, 97623505, 408991769, 611441866, 528759384, 513815251, 766410895, 822196014, 472129302, 480211517, 601538422, 826405944, 5965991, 89425933, 611367626, 42250955, 304156653, 191240172, 732400231, 327439064, 900906822, 71728537, 426469625, 589779995, 192509071, 302283674, 157617849, 516696474, 678485157, 281091661, 329454561, 95268910, 644153521, 94801079, 855841794, 222102572, 334804812, 827990203, 31726390, 866361833, 58866571, 916363208, 769650200, 951277649, 299075917, 995494051, 417447917, 884690628, 46450626, 361101810, 159444281, 434850816, 713763804, 257559431, 265050242, 192719451, 871707400, 625850660, 331333056, 609134780, 803065440, 294130503, 792732845, 560797148, 905037609, 801867836, 913745298, 517538610, 11306582, 11666448, 429951744, 35232843, 313001341, 524616045, 960683793, 276379506, 321856629, 534291179, 822493383, 488501677, 580355544, 989899512, 574860184, 719093185, 879851375, 731772308, 516089241, 772815674, 185736545, 208002740, 837692494, 796014127, 932552741, 729162581, 109205588, 518288738, 400827588, 893633517, 320080539, 582645896, 371475886, 422654542, 482153896, 331995211, 103757570, 424415355, 301025149, 750063904, 166319671, 667304843, 816573121, 58614808, 294025297, 829954656, 551841013, 113440689, 98135134, 128442058, 71580984, 168569526, 115651252, 134326576, 381249905, 123220264, 140430226, 303237503, 824129782, 341293914, 152899672, 76031228, 448212723, 665643043, 264824205, 741073356, 895049321, 871199102, 998934237, 995097557, 129637324, 984643534, 775932383, 152039893, 825483102, 860267048, 490333641, 21540183, 343160933, 936014042, 201599371, 950713498, 488990359, 332827180, 866462513, 897289942, 568656003, 737351142, 800828306, 96500538, 61945808, 594716179, 782642897, 627804663, 710504208, 584172822, 256010072, 27171885, 725391444, 728620645, 675682741, 922224046, 555625819, 786157190, 178274876, 591567902, 834799983, 797605070, 912854415, 468355615, 587849032, 141148822, 949111403, 64487515, 330851688, 703273305, 795845490, 949830945, 636592816, 576956323, 913065648, 53300688, 828014535, 628294855, 776258188, 471283132, 175228700, 427002246, 357022566, 86826134, 750971578, 752503690, 747879904, 729587557, 57194809, 148114144, 705564294, 780724888, 44658409, 376553807, 351010051, 827314634, 223014764, 972283383, 444532966, 824418069, 88457936, 872443682, 114913775, 83977637, 764653092, 231165011, 20608681, 177179856, 267600585, 267258902, 626287775, 708405250, 817412727, 382852014, 420678103, 339265904, 943198643, 611435473, 530885073, 868538150, 15034382, 729507749, 951349260, 317900535, 51617915, 907449103, 928113628, 528236094, 283684244, 756989197, 677110172, 842528857, 889744181, 594318087, 726488815, 862874197, 489493965, 489405934, 67316597, 98866000, 285109940, 361527616, 400488779, 806982986, 356298196, 376818697, 843921425, 921633233, 836106511, 934971888, 752868871, 264423151, 693592679, 138937614, 502928325, 963975450, 33086503, 182449377, 774308940, 883844529, 589414649, 487075898, 548397798, 252721690, 450578829, 670608699, 173629403, 191237173, 669250687, 532737872, 516603373, 753751091, 677944924, 221484645, 112892554, 547682133, 966889915, 92134416, 322828514, 188733628, 988471745, 584157224, 248507846, 760369427, 726614340, 168240441, 123065783, 300883366, 139284667, 14223461, 698713370, 835325969, 82504760, 830603341, 273654735, 164417465, 769240417, 577140326, 202966501, 753934918, 140700605, 429454516, 741922316, 432134883, 320797171, 175764515, 506445799, 402213870, 896134005, 656069329, 549232042, 45606345, 71531685, 226150096, 960447635, 349492954, 946423836, 170700562, 553412817, 697965710, 275628366, 333726328, 614147994, 497438148, 410207591, 142940450, 603738661, 13058948, 817686875, 407495698, 346128302, 264338939, 888092064, 932054891, 603764741, 528540693, 356277685, 251656572, 618356585, 967637438, 247402217, 849212558, 349216835, 554656824, 541840395, 195022282, 672612999, 623597166, 336349675, 285410162, 942418666, 915617831, 70493441, 982780213, 655809856, 493168926, 43931639, 537368858, 685667438, 351755460, 211006045, 539548235, 691901067, 55877949, 673336879, 780073805, 433563414, 624941405, 769235186, 141023366, 446281745, 857415853, 574153216, 949938974, 742026155, 975112426, 196065775, 261011361, 755281867, 928212881, 388180840, 678268799, 502221460, 412393671, 95127732, 31814485, 182618077, 347339558, 761042505, 573728198, 593378980, 434016377, 556261263, 694166949, 190858242, 727246081, 172554208, 372745953, 90342500, 940558536, 918136389, 229006550, 692583747, 142118027, 904519239, 619156448, 592324657, 832848281, 210934199, 128334353, 63168295, 298310796, 761136679, 91230637, 53501624, 946698290, 217902075, 306020741, 565770264, 577575477, 897944639, 456642087, 338732458, 947033887, 449146166, 126142435, 22221990, 921990494, 258822261, 622657386, 643422912, 807370080, 522211941, 303364678, 417068326, 423294127, 629851895, 95038696, 794001714, 219637, 31008864, 134397553, 318956349, 268122997, 544785274, 312883401, 805836641, 514963266, 136136417, 322746437, 441113787, 823098437, 568681696, 804967323, 812299290, 143847954, 531427634, 553142495, 9459599, 241792518, 40585455, 496989631, 926704891, 9822542, 64754155, 822874185, 595045929, 319539296, 709488235, 884197732, 738723580, 475067370, 287698433, 808544423, 87884813, 596286810, 642756151, 554722445, 2779158, 218717735, 47228779, 972389851, 285158769, 476159527, 397943531, 523867996, 470831300, 283735772, 15848437, 667473104, 410508651, 69400047, 126264693, 809778158, 303060091, 631120722, 733608557, 798846594, 655257041, 773116415, 124383577, 344293351, 904901004, 56600756, 299740642, 615358537, 856973810, 75235638, 352503810, 115082218, 146339258, 254524457, 470189527, 268326922, 293783467, 718481027, 564772932, 63126580, 468300839, 6633465, 490367776, 415715401, 69765036, 150012818, 454308105, 575839271, 467482441, 211098170, 893693939, 119992600, 198534530, 711993977, 902632498, 129365800, 620292065, 581547336, 371526047, 85976173, 73713517, 78560297, 346978601, 894652122, 281440884, 630950779, 755801081, 668858972, 865477231, 587203476, 303366998, 811551394, 61659372, 287162279, 877457710, 722568882, 948636325, 53564515, 467661123, 828566169, 411419545, 486433131, 951208570, 43124601, 794505997, 489742510, 804884823, 496114816, 311906294, 9576813, 194314961, 517559527, 701904527, 883613989, 112829514, 717714656, 318652662, 278820780, 191625563, 783270433, 736548973, 562367511, 569749347, 227848464, 395119015, 420756645, 412714517, 644467195, 576469676, 184266146, 95941775, 567418534, 652941148, 14065729, 873606470, 61674248, 654846992, 320056500, 68495554, 150754609, 547746910, 492669687, 40560917, 582063822, 998873529, 910233424, 920299036, 956180933, 747324718, 513983214, 948699255, 415911326, 887714907, 399666852, 262209895, 137511767, 21208737, 4210592, 630028752, 955730276, 388998258, 635081035, 762499544, 582570370, 849637818, 354632333, 842977837, 848076687, 316064094, 686820993, 33759547, 228876521, 778579829, 997985999, 196216182, 198146581, 984510375, 852295143, 350541383, 387254037, 588995288, 86947537, 394365331, 37874217, 725843917, 237799100, 267591845, 617533426, 931253701, 506931874, 394113497, 920463756, 829137669, 543907280, 374341917, 965190496, 182471688, 716243882, 944548529, 400093572, 656860457, 159490958, 414433658, 1133657, 771175763, 954898280, 648763463, 108282510, 870034242, 194642228, 591411907, 360162705, 795994594, 721490235, 260268071, 725641022, 80553166, 25847589, 574976269, 17136731, 954794822, 8465676, 475056644, 302649761, 366454725, 591774324, 114862902, 263279541, 244898666, 361204725, 944713531, 100888005, 214329173, 612593548, 521593601, 956642071, 533104985, 283999536, 343045808, 503727083, 814164924, 524022532, 161235165, 11798242, 44426795, 701663488, 370962338, 638459874, 492856060, 838674304, 812038642, 55502718, 240080629, 652013645, 451130556, 665005986, 547826364, 69724787, 603978111, 150045688, 473450658, 950041346, 962759669, 192453746, 534437591, 545862325, 54804488, 757185229, 485566262, 642607902, 464674466, 147738764, 42068905, 300824919, 151519516, 996504159, 694330035, 897147263, 488329747, 805576373, 482721717, 606210396, 428908346, 355132124, 257022813, 662623421, 875381851, 244292817, 917456975, 718227056, 529976905, 761286582, 384366749, 581305999, 748677229, 100648155, 735620290, 553535127, 23160075, 454131603, 456290676, 374210151, 534624394, 809741368, 503636351, 864984530, 857384664, 110950737, 217686264, 241262217, 455933334, 439397140, 695086678, 900585424, 419653073, 496746247, 764354511, 617824397, 115785168, 447042137, 738205803, 530945607, 400830511, 875289412, 478543662, 373509604, 7672992, 246206958, 100028727, 209074313, 101382148, 78419105, 703193780, 968533612, 111944858, 448566225, 776521228, 38827038, 354604231, 310912124, 826430618, 484923211, 570647226, 745846639, 633507417, 983540307, 52117726, 165372006, 5775868, 134944571, 642328868, 941041311, 134960166, 940278931, 749347680, 152168028, 110984637, 598991297, 905839151, 779311459, 896963765, 4282197, 191336787, 269129671, 592492463, 954936531, 635168074, 612409117, 358324670, 33578788, 854618250, 747053158, 265920331, 280301242, 289853830, 413724106, 188826467, 880353526, 373097002, 614778318, 778827379, 659981504, 182396473, 717899527, 842626294, 369947426, 140034790, 283128122, 344448421, 688616258, 152415190, 368847622, 652677586, 281153275, 837251103, 659045755, 569329682, 429278987, 1937114, 184548951, 382714166, 699350214, 833387479, 453922239, 472901197, 706434259, 10495759, 474278570, 52246564, 795643674, 804915740, 361127791, 115215691, 3659034, 828203175, 885067979, 503459643, 603548659, 731404805, 302215672, 629501643, 547490664, 681029574, 223672637, 198429442, 987594348, 780921858, 33238126, 70882342, 28960598, 648602541, 286610183, 840856646, 237257814, 29741226, 519370401, 142946131, 715272061, 438169917, 68560476, 293986268, 911004525, 402964136, 659897726, 569516052, 596755939, 437859971, 239105066, 458501178, 743391695, 76354951, 672207912, 974431681, 464181423, 147066931, 848452465, 470922437, 659651420, 204842960, 518133525, 935672977, 15065899, 816346509, 789754234, 450282096, 20470941, 740578332, 298747023, 712798324, 382640065, 415431159, 324319080, 529754781, 95394586, 190017515, 912035468, 936131239, 680381125, 706296747, 697084209, 836346002, 971856503, 123851213, 175528082, 60801199, 457623982, 365232791, 610893375, 23826318, 705936275, 297049962, 909850050, 452714550, 916202701, 251705112, 790817448, 401410453, 529136746, 599232551, 704276247, 714104136, 422648499, 309706145, 608901045, 367096940, 892327671, 764897778, 228697170, 360421136, 486239854, 808690388, 731491589, 137614323, 533589587, 357539280, 394853151, 759705304, 32986699, 873239439, 126853231, 991454255, 95857925, 792929905, 862692323, 155476384, 985639271, 68435055, 969455727, 487342747, 230453217, 422524699, 607980322, 143061150, 718791669, 201023791, 569043225, 756178920, 88431838, 964198974, 321569686, 968812864, 941890734, 163057106, 454965134, 641361341, 227345038, 354460082, 709819714, 222731518, 832815951, 619780665, 699169121, 219023076, 361645020, 643363697, 766594352, 689353822, 25366558, 441616564, 906392129, 183330636, 479784953, 130806224, 437021985, 964564269, 120580864, 167622785, 761534006, 226720790, 442433093, 661978919, 337614030, 399867004, 205678868, 391467624, 675966443, 658882310, 589196965, 905733, 396088188, 919768945, 211762684, 867984958, 772392522, 242953552, 503705591, 616618325, 887244535, 264527228, 627215691, 268067873, 394370004, 714709657, 860538255, 470087594, 29122963, 733404065, 855207245, 588718411, 926776356, 382731419, 803974120, 830021928, 493718260, 932561944, 954116526, 370174112, 550630790, 925257379, 398457061, 26234442, 123648414, 731936633, 329938704, 432349310, 112057391, 489851845, 91275071, 60051596, 247216770, 297912447, 135652529, 869555488, 163554468, 682523289, 626339069, 620024533, 638860030, 525539335, 104397441, 44907547, 560383259, 538643650, 770193228, 421007130, 102030749, 51062469, 456874056, 40340720, 566975712, 592700677, 20994768, 971951699, 801224666, 892946094, 701127980, 970526791, 130981692, 406238794, 125611834, 520466253, 757168217, 839970955, 112422811, 937290285, 465541821, 155842166, 349222602, 3220927, 10054001, 140232670, 152722708, 838448122, 751930641, 49564261, 127942543, 853753919, 504541501, 23599843, 450562268, 458043077, 234790446, 287564331, 175840019, 531268895, 469574412, 809411734, 223960322, 267875077, 748105675, 327666555, 418161294, 966247641, 256488127, 576054959, 772787653, 783983961, 378629609, 960047300, 392476366, 932461177, 796796230, 453472823, 102688653, 370008857, 807312098, 543768454, 490931575, 772721807, 317837000, 652611084, 829044480, 740554289, 57236664, 438478706, 442963180, 839103640, 423026026, 975697732, 709150590, 138371458, 132007616, 654274111, 702687230, 987729992, 290086818, 496073391, 350577862, 986085278, 412829401, 891902960, 728976629, 93786959, 480675727, 961010631, 524213546, 105786276, 309969094, 675935740, 672996396, 88508491, 62667275, 232848785, 342476201, 445190547, 596047024, 219420736, 297190484, 386066145, 645430525, 851345879, 730792331, 603379070, 529387594, 86684583, 715110599, 937648075, 565471845, 864475769, 347386294, 703453078, 704594433, 404707610, 697299398, 838907644, 265789536, 191673419, 218721085, 562130375, 642817703, 793708851, 314465899, 392693108, 289083822, 247862464, 901650367, 254481091, 164175357, 616082678, 204875023, 548526858, 824321192, 667884015, 570298097, 119079989, 426905998, 176878247, 359361120, 189325478, 6878874, 624000141, 118733127, 727540637, 492024715, 278843100, 678556790, 365137696, 615515746, 693916281, 116252489, 692473908, 436913683, 575652790, 941932312, 207692389, 53285816, 688945837, 982714410, 271796105, 830735764, 648412282, 250903187, 831908222, 357191174, 49310981, 954310834, 52108506, 872961349, 33324033, 789036529, 526561389, 29670325, 632436692, 878700696, 147059711, 535970737, 266589239, 831254457, 602574447, 806757038, 639700664, 69907060, 468382280, 453122403, 132288748, 29105443, 338314891, 628393012, 901686238, 784377188, 100570552, 610189182, 430972347, 861731829, 658126804, 980400247, 546581738, 908287644, 658940109, 386357455, 411150701, 231618444, 661489681, 970601893, 667085880, 524724372, 810913997, 563686675, 203601584, 120633776, 805026761, 558720445, 864665729, 427431188, 922187669, 661693117, 201429177, 889821157, 931000381, 632507316, 69329096, 997956290, 466029771, 63699567, 35034940, 423349924, 99624454, 139071617, 416895479, 185402925, 894324790, 136194422, 338685815, 857809596, 659240085, 95335519, 433286985, 347115737, 999106925, 855941696, 367215628, 293295819, 298963181, 778810963, 573089352, 970619900, 816635811, 281601799, 394834303, 555777164, 109927505, 97724979, 866206780, 907187972, 389337332, 474535122, 277084950, 959474109, 721761588, 164702149, 800445289, 290702744, 695973477, 449931174, 95643240, 772415936, 813820160, 957781385, 242240273, 112522169, 884455510, 993321311, 39795590, 149671289, 294133110, 947000117, 676117910, 657735818, 331402061, 36948144, 887703781, 608279358, 966428039, 20701351, 52542442, 842539891, 593601247, 636541334, 723032402, 947120076, 474925260, 301020493, 274564763, 541685835, 823641499, 497184504, 219768064, 85515020, 559231929, 518269849, 509268664, 567646171, 781124565, 757331478, 800909006, 387308409, 318239624, 785295799, 129574641, 484317987, 530026576, 669413867, 285812755, 842786585, 105008725, 388856408, 354423872, 933367852, 568619890, 432008061, 107277729, 62540403, 717610896, 200272092, 367271670, 530939253, 875652406, 120878733, 171414619, 672178448, 312564906, 781909090, 330132873, 960441181, 208956082, 138966619, 695759545, 491780377, 175834485, 922150690, 674387961, 759811736, 613385073, 38338809, 625477122, 686819443, 300896012, 966998277, 782173044, 804873256, 237465721, 460661085, 686025481, 907903644, 371320905, 325462464, 649781438, 112005930, 303600462, 795469145, 66217737, 561108682, 870192785, 819196033, 266068207, 794062450, 555083808, 545661654, 682637105, 979593736, 379620528, 196755378, 253724380, 819565264, 326976332, 355735355, 471721333, 402298661, 675198106, 243027719, 622363488, 326616790, 574204079, 140618438, 640066821, 403362363, 350068111, 376703477, 610718222, 527006658, 982042598, 150158756, 108375069, 620829874, 956632682, 234044081, 972564362, 448918582, 401740556, 347301825, 962301343, 621662735, 433703259, 540042530, 168082820, 572623933, 303334385, 785167053, 42924731, 174666671, 995706698, 417450989, 950130297, 642052011, 406872128, 424214957, 366556661, 69574083, 25129815, 848261659, 118751441, 286325278, 315799630, 336618553, 313018489, 284212089, 132612650, 855062558, 180634887, 628077339, 848213984, 653218421, 75910787, 110468337, 696378126, 367146327, 99432321, 205334279, 778383678, 780275519, 865482323, 961420622, 465121525, 841010558, 359935239, 574182188, 934169253, 16010236, 423399674, 225236538, 196592483, 287534722, 112239001, 842869156, 160108472, 222383377, 727296912, 205079554, 94492128, 371827163, 268386225, 268180249, 761197952, 906237738, 635121138, 10269875, 97885476, 451404423, 450642449, 383977952, 187141740, 837252430, 24575693, 896151168, 262739269, 206000686, 317293327, 273856737, 993033791, 159801720, 33657334, 630165423, 731909319, 224567786, 392270465, 47647798, 239892797, 709632602, 205625974, 490068683, 859456672, 880770659, 420305433, 673332038, 96917693, 793673224, 743588899, 280262453, 281982897, 850715526, 12004626, 259523749, 427375317, 796845692, 595169865, 395898449, 469756066, 577620256, 485891404, 605200077, 733177340, 555808747, 330965340, 548131477, 590938568, 544604312, 660166928, 140285880, 60953882, 751856114, 996918242, 445216051, 298328478, 144501400, 441944593, 718209605, 908966979, 839703924, 528194701, 709884883, 610284515, 115247912, 257248906, 462729124, 627231771, 633321558, 229348978, 771555959, 456619655, 77549645, 582044302, 439124494, 167071770, 679736238, 882106808, 64734308, 533294118, 722092405, 541160376, 703632646, 48701150, 372328693, 993184002, 680391953, 489764894, 165009951, 969111854, 856849763, 204636472, 228411938, 118342664, 813410269, 998104264, 354246516, 963104919, 496518901, 653532428, 105712215, 335385511, 285794185, 954592489, 793551527, 798988335, 217626587, 602888702, 295637374, 396148892, 474750642, 826485485, 196684406, 332184133, 930592752, 250384371, 714610663, 361268909, 370678984, 142676247, 538220894, 46107117, 142432983, 971531768, 548439584, 214668513, 326016672, 5027246, 58431796, 547222747, 658868972, 605393445, 724158548, 940403317, 474635136, 149312970, 334507321, 627143110, 257335009, 634717859, 649569138, 69244685, 804003568, 675931402, 934806865, 368721781, 186518658, 462505082, 35294739, 227398121, 691888775, 762626198, 734504209, 874609055, 311254525, 114223945, 873304858, 341075070, 79497601, 331643330, 178552676, 298246201, 866419667, 188008153, 942825192, 933414426, 455674908, 182017047, 627627334, 597549539, 28355614, 222898578, 73833485, 964952915, 901689015, 373754801, 825118661, 391637783, 472585219, 780253683, 367924946, 376270106, 474644709, 302369796, 271004407, 28172173, 966664699, 203252657, 946919434, 727971588, 2245589, 760546598, 887777704, 737009565, 916625350, 414087101, 529949093, 543596565, 543299444, 145769779, 480783324, 449184693, 291742723, 658366796, 889398709, 363094617, 288562274, 821630406, 259855167, 512752487, 562945598, 338102200, 644232214, 256946394, 633996642, 525370661, 33172455, 908526909, 174608876, 554068394, 985509835, 940619444, 555187999, 908173027, 974159985, 114976058, 26443441, 403979630, 633352508, 466910688, 931542954, 401222492, 453466288, 214049533, 508247630, 278634399, 349822103, 781029547, 645177876, 414023679, 512839350, 169484490, 412149050, 33824288, 957852286, 529646199, 741507457, 503232578, 772065963, 892264370, 8947406, 82697908, 137668095, 2852904, 849592349, 497435310, 98461172, 771829780, 25960744, 886156581, 473566121, 86689860, 129748377, 510853179, 333874183, 523567712, 10314556, 249795431, 411596729, 598480288, 565206805, 569361279, 159499535, 953174609, 230051657, 919333609, 980647090, 996174497, 30394299, 874666227, 409061092, 442528317, 222590525, 583155077, 519457494, 414201369, 144943668, 124539816, 693051880, 776940082, 90303098, 721757588, 758471085, 953407680, 655544558, 591510798, 495513662, 965452220, 15022080, 995166582, 386301220, 137638326, 848855324, 297344879, 913451145, 73784982, 622117731, 844353260, 802726226, 724889948, 994568335, 21152400, 17472044, 563147320, 713374492, 56167206, 278488908, 846876624, 200274917, 209304271, 157474056, 407756049, 138225539, 606388947, 765525192, 471240380, 735749073, 49073890, 814041990, 134778986, 29976989, 307696311, 174417053, 4839077, 186591490, 734185409, 331483083, 618665147, 463022931, 38212157, 815941539, 559552845, 901697239, 959625709, 856423847, 573792099, 65699896, 773085021, 559819778, 389558730, 694547450, 563694396, 911950213, 723437554, 455617952, 556237108, 677131646, 470655810, 624128788, 362291335, 696337115, 4319286, 789831112, 102360593, 223649622, 409803996, 558711791, 56313319, 410440565, 93939562, 102416715, 91513326, 645374271, 22180918, 689868287, 995958262, 6453145, 225764248, 214270274, 35276945, 609303617, 77888362, 333135070, 747762253, 647703331, 632389298, 170587820, 692361252, 897138775, 756090830, 331208404, 186919925, 556365840, 849857942, 255200726, 518401486, 301867575, 246097724, 751026341, 536360098, 682935868, 798560937, 975189162, 514378573, 948399580, 400230170, 413560152, 79488268, 972784242, 769498350, 532179632, 602424392, 418426470, 3539060, 796967963, 934763581, 275346060, 723301022, 400699809, 71084551, 200205405, 137861415, 814698844, 476044897, 809347015, 957956574, 198823302, 656999627, 74644300, 802791591, 308037515, 7838495, 440891184, 693637365, 336530274, 842141879, 992338849, 186723046, 305209539, 945697929, 829742248, 716065220, 942983692, 873737553, 523012920, 757172731, 483806324, 556125032, 156508460, 275882759, 92293762, 83140028, 512570852, 544312639, 366360895, 381259836, 326975252, 765643759, 160095817, 825065592, 411661040, 249357137, 13081433, 958857723, 278251918, 513657861, 355571752, 670087476, 767003174, 944772127, 650837151, 427049776, 6619270, 367353703, 203376636, 306317891, 1574219, 194480963, 391327587, 379779312, 357023064, 619151102, 480493038, 453933779, 872691126, 258914608, 510306916, 278337386, 23404686, 121827592, 135583285, 980893634, 157769699, 418583658, 584220539, 384049183, 780467381, 23088271, 142547309, 625239537, 400576925, 421391225, 832463617, 738255232, 338180208, 96750050, 505806364, 138045954, 724381888, 759023841, 391598403, 949450267, 925061045, 198710580, 35870525, 972157244, 549759582, 476126217, 236440135, 306202374, 408247920, 20939764, 891880006, 85821610, 167697328, 90917284, 16647091, 499023241, 959309921, 874561970, 586743098, 23183194, 69851155, 467452296, 920179680, 204184571, 227619017, 534506631, 920786040, 408800887, 960641257, 202759317, 3129482, 663625693, 105683528, 356559967, 503308842, 592084717, 384391931, 834658799, 686625514, 993911238, 4233577, 727602095, 79724211, 297573747, 750082793, 353127545, 785414509, 704275364, 453402488, 764475194, 314395510, 132506997, 679707030, 2950757, 54287386, 390671123, 803092079, 744228693, 54910483, 610261248, 654656278, 946609052, 948600754, 303497517, 440393258, 414574996, 872516198, 295756031, 556242573, 371977098, 409970020, 831284447, 624923900, 985975119, 657000350, 796809078, 405275155, 465150582, 925259853, 776413105, 132161166, 945356898, 487769231, 319719393, 845229347, 278275799, 21878817, 465584490, 501143136, 152082008, 342771820, 692209063, 550910239, 500222992, 784666242, 374432757, 509711513, 442923378, 918791562, 88026796, 479999925, 478565631, 85945059, 607229273, 128544788, 873542187, 679833668, 459319239, 4378744, 279392415, 775426119, 177595002, 692491534, 806815161, 241097352, 971362104, 730695694, 533299300, 231383625, 794615852, 719016719, 629581107, 544245684, 358444154, 884382902, 466027572, 232896593, 164010543, 13089982, 599077283, 136229046, 879380041, 978578789, 170503282, 30526736, 311532317, 248611557, 996066247, 578720273, 665493614, 359299262, 667127102, 320009341, 740395305, 323713355, 372467819, 726534637, 148788761, 571880045, 470002833, 991285981, 162672294, 972359392, 53631243, 203525839, 834129429, 852402115, 813756719, 565099541, 223767809, 283135344, 783266576, 467115260, 92156013, 774134729, 90286569, 91752391, 325434656, 484201252, 502661200, 17963587, 587933611, 888943045, 202774448, 824163467, 661529510, 549969382, 388459458, 345468161, 164820672, 638102815, 654074007, 802434037, 838786049, 364745838, 183574684, 518836746, 776583100, 228810515, 563149365, 798231663, 288791524, 642483371, 104014997, 381243014, 705741351, 584985482, 25108804, 624863431, 825762092, 137499178, 468554989, 414395460, 515457067, 122206856, 784448513, 728539177, 295306060, 363859037, 236602550, 916139484, 135773389, 650975135, 786595446, 124381352, 907260046, 689215354, 858907925, 891476390, 898027518, 983683609, 606353435, 174243341, 102706622, 33331912, 295971422, 555725421, 257668599, 436994948, 491531244, 122398437, 127854539, 598291067, 152537069, 980037062, 610593887, 713551254, 992369022, 261403728, 768756430, 910664220, 716041643, 13661757, 466234970, 308704361, 286923188, 284633760, 818062871, 99180722, 37386448, 195620096, 567629247, 819093708, 668981645, 801552231, 284397150, 797421926, 941901552, 419296890, 197966811, 600660709, 67181366, 648253750, 670205920, 250078349, 80915482, 233085261, 384719762, 651049756, 614290614, 224673359, 82979171, 29575154, 141321246, 993798013, 24148588, 684954283, 579900668, 130733510, 321554542, 618220794, 92615640, 618773241, 88538172, 457328573, 291268588, 917444124, 48660565, 988973394, 370910908, 926283363, 253763461, 111479641, 338282730, 895663909, 312971088, 26802, 625826831, 251084935, 134430103, 450886215, 732464229, 944456318, 214377588, 792241372, 10195169, 434024977, 889394168, 959038815, 493498430, 159745882, 187006341, 832341418, 295586460, 447514348, 663361772, 684314717, 544418033, 268355279, 465353559, 310855020, 787686898, 717205173, 265020649, 265354895, 455483542, 223868546, 54040567, 759652627, 210444407, 201354157, 100774243, 950337243, 333931640, 62284682, 792180099, 975101318, 339204695, 369560710, 601305149, 138113119, 600665541, 420811890, 666523098, 102407005, 902331856, 833403447, 807673980, 531414141, 97647738, 686497289, 337605276, 3300163, 631877637, 139439707, 393694606, 99315224, 758208580, 250984328, 803269462, 595276078, 451522512, 514540661, 579881401, 337902242, 556887527, 453280464, 472095347, 106214487, 276030758, 806314708, 922010400, 481683855, 730166131, 404054580, 892682360, 370564146, 809637049, 345209813, 858425314, 657326976, 116948054, 176797671, 251918468, 342004658, 231406095, 331364575, 816159566, 290262053, 956496110, 127412590, 471176664, 822506870, 43834425, 310456497, 504823090, 546240870, 351208080, 947681731, 754246139, 119057926, 668268388, 584597641, 988090613, 662140513, 359528532, 227476437, 133257393, 495041862, 266905265, 301026194, 947678438, 257662721, 982073974, 295894169, 868148526, 472823335, 869859722, 625124031, 801839136, 106286369, 149793645, 143872614, 108376176, 867941587, 394752399, 296892083, 138559861, 122262037, 593001734, 168734801, 403268192, 758112454, 561077742, 390606545, 986669232, 73370146, 573465117, 768191714, 888590742, 328220577, 168111959, 765989875, 339660218, 904441032, 122691831, 949037364, 227891367, 783567634, 13892948, 327691837, 784244859, 12815698, 863503987, 466393187, 346145548, 189597770, 495948258, 303367441, 233534124, 966071524, 810083228, 754757336, 54611188, 244848272, 521553738, 827454909, 242223845, 297953298, 621936864, 221192911, 318038105, 872029634, 359305896, 404101629, 634749021, 688597408, 70412030, 712712142, 774793097, 268511917, 550139353, 372592064, 635103994, 865727217, 349983406, 808193263, 772684515, 58944972, 865841330, 471911518, 361147468, 868763358, 388469449, 615269031, 885875666, 213289918, 117169359, 277096870, 545184653, 182775700, 107907808, 443568105, 272949977, 270747017, 355312362, 471897144, 666390772, 273942938, 800690995, 466265555, 348609147, 322974393, 747861409, 103344933, 660685071, 904261827, 918037482, 596757481, 79950356, 362780382, 992067425, 717369502, 900405206, 663468374, 278080927, 517587678, 468955754, 447455789, 885275224, 593299556, 638006671, 51050550, 36377101, 495761980, 372314190, 724540660, 141606417, 922875376, 955449348, 76270425, 321658324, 967025527, 584385402, 253571850, 608759072, 897395378, 725180150, 184505949, 775218817, 305677702, 4249027, 119941715, 356379691, 353495162, 425620857, 999006031, 942800208, 896273841, 148828740, 946058667, 548405301, 384402566, 140651797, 339696053, 946172680, 314794629, 220722210, 402506901, 283906492, 780616666, 869936848, 772997994, 629147349, 296655722, 243536409, 819533180, 266234875, 226489337, 839776144, 693017088, 609817284, 315111464, 884664545, 155353037, 310877300, 54680380, 196773358, 556774326, 984740972, 758431238, 560064538, 772181737, 754645810, 859373576, 233027191, 959695229, 981614352, 263009133, 779963901, 256483823, 158677668, 821822801, 719531110, 947140072, 320394444, 944087041, 819255565, 112474578, 405704144, 78412140, 938909254, 516732926, 171326552, 974408022, 527904500, 696379985, 522391966, 424719125, 289937346, 730673738, 319431875, 586858522, 382900841, 989907670, 56152252, 545913740, 325102629, 224137763, 715427767, 410920728, 144374780, 265078724, 154050584, 722178525, 165020842, 345503463, 467229867, 254185388, 988900710, 255605861, 469533240, 956735214, 403077779, 456081089, 455794876, 260481917, 577925696, 332012544, 838022769, 500049551, 774286573, 475862096, 276106977, 358111800, 676246962, 654203067, 437049944, 12343988, 222032039, 870712925, 407377266, 445994122, 5642683, 838407745, 90643359, 280419648, 478947794, 88880796, 829822973, 353748394, 550935646, 928319945, 503834001, 33974940, 505590641, 554543757, 828240673, 696791165, 730512859, 950348201, 658043834, 359181896, 931219992, 275312372, 151770524, 103768511, 448183007, 216760426, 984856591, 352680696, 371634069, 752356780, 334591065, 295883632, 241791724, 925049392, 917605542, 683416392, 850228974, 703119618, 371370292, 417555927, 976414893, 6472918, 195166222, 330715471, 699646676, 817281196, 252278408, 477550153, 461256178, 852412563, 902199106, 935934061, 575260093, 35434871, 953915916, 253138290, 472056404, 313837256, 72522519, 796715584, 58964419, 111494638, 485520295, 105894144, 54586550, 434508842, 502390445, 620593083, 975672477, 559517397, 609179108, 381114569, 973594239, 725484197, 363313997, 79883418, 611684850, 357585828, 447136560, 264400872, 954723997, 790610302, 439964188, 965284268, 938234570, 914516363, 394196949, 215962244, 844699301, 131243425, 91110073, 350129940, 277181735, 590367044, 888674790, 485662094, 703094325, 796067001, 998124898, 772924450, 630491161, 156117716, 75823054, 439437286, 887856852, 605806396, 479044049, 302009688, 555824465, 40572426, 489316764, 755690364, 539470819, 80812225, 852597923, 852018563, 207989195, 183121247, 574248282, 400263922, 435233398, 824490208, 936536038, 747692871, 747906712, 271034753, 879750480, 669375186, 119591854, 601984589, 496812852, 326789969, 949256616, 687254448, 795797134, 474455365, 767467938, 233133495, 619067151, 887235075, 141798306, 750546489, 142636726, 774935494, 979394862, 79437563, 804039136, 408399476, 888838413, 887271389, 906435468, 410549220, 367148067, 413976139, 58221986, 232380209, 452369661, 526912077, 519022527, 882351753, 376551583, 721360600, 747371498, 584547196, 961394834, 771346663, 362818828, 339986708, 495936294, 385771104, 879230702, 12020449, 945487270, 464708101, 595951949, 656603673, 287565064, 326525678, 482604859, 250785428, 636034396, 404194865, 990190974, 986600513, 419457408, 199323530, 748779030, 126144563, 241888055, 773980032, 114079140, 929741969, 89693477, 569469818, 415866137, 740816017, 944457991, 874613185, 849528284, 512865830, 294796116, 23133401, 884947423, 362148252, 735407733, 612559768, 744346524, 372511214, 181228619, 810877410, 245586023, 488665387, 237835358, 432038671, 539149179, 497815533, 268915788, 971576576, 579362576, 301064230, 290176860, 917033266, 29462485, 388234197, 72191565, 440941601, 515626844, 936297964, 103111143, 51079081, 364754912, 525723310, 88979747, 552616985, 917621957, 266733375, 305434047, 136070240, 489539969, 642850763, 872367951, 686086960, 828421532, 365331063, 102483794, 396206422, 33486691, 332187138, 83007141, 682193845, 552803748, 705754424, 507223092, 720940783, 477006305, 809845547, 777064072, 577252368, 54622512, 224781675, 267060696, 99281235, 498912793, 18627661, 262626234, 456567614, 927211208, 378717932, 848699014, 582444389, 628876469, 707145107, 248622053, 388768778, 406682354, 642143062, 999840032, 576634783, 12264605, 639221186, 355541179, 282648908, 116899253, 753101205, 996055470, 162668930, 385589386, 712253667, 546639391, 641644389, 777408898, 380435078, 353768552, 775343338, 222060269, 940450664, 737215033, 969157217, 84916151, 283949064, 60154463, 417277305, 273246735, 734961966, 621382468, 618688373, 170397794, 712492837, 122209589, 766832737, 886727592, 611655309, 215534548, 905816354, 28142860, 672737754, 246052577, 954463651, 355829875, 774761167, 761926427, 939909337, 246542781, 256053330, 157790335, 756201140, 518328367, 824000285, 743869178, 403400113, 456646391, 437482792, 137225002, 373226478, 463566988, 535256814, 942209421, 633521950, 597698796, 702827799, 97708850, 228532632, 230312030, 613435474, 110817923, 9051069, 540365492, 33395274, 640995313, 361029618, 97705170, 242656234, 899616792, 482315733, 345853852, 746524465, 374749697, 285583271, 184674830, 255561785, 123551091, 959184429, 652683264, 78588361, 993687904, 288467216, 987243548, 250211234, 131780353, 267802457, 280014442, 8902426, 285272582, 651812631, 263808163, 725386367, 494493666, 741324437, 659460411, 635310573, 745155474, 865232066, 302327704, 457031120, 154039206, 168735173, 790575420, 175935653, 641015204, 677474422, 990437134, 883872194, 18774841, 611100552, 684269242, 90256907, 74131584, 682350314, 61377044, 865904420, 584691493, 301854886, 612421939, 505966137, 987933869, 245234953, 501866788, 389690949, 334967736, 219629919, 236499064, 341115527, 341144733, 589361133, 511432447, 292685391, 974072231, 895851884, 557175747, 711025124, 264533749, 624322953, 759069767, 977520541, 520090982, 888396703, 6245393, 189275154, 334474360, 480444220, 532317403, 33211212, 698013021, 171735719, 312157803, 876727998, 216483209, 17451359, 799232989, 579409125, 443384143, 887255794, 706234073, 823263626, 799504315, 850514787, 402853812, 347745557, 995957981, 841250752, 272957529, 45311730, 997069946, 570891917, 977145130, 392165641, 843439777, 515669568, 464380439, 813071744, 992604562, 89368902, 271186450, 187073392, 497462707, 429368051, 21731223, 50240910, 144115814, 762113915, 529077481, 739274429, 851913828, 880888027, 157454228, 930701862, 358648204, 329879429, 188977223, 373956015, 21698327, 765757272, 95667819, 338764715, 23309432, 528903370, 935243996, 175096977, 715414158, 374380692, 63702550, 831795961, 91692633, 622109365, 617243374, 746788571, 969943102, 126833849, 45573965, 528386121, 754734607, 971338666, 936756085, 638635845, 31574292, 461321534, 276479450, 988540069, 531170958, 352706105, 912681245, 593814319, 142078713, 111087291, 15396193, 422725927, 649168568, 85662094, 955858783, 152584268, 175087220, 183931163, 826324652, 261596992, 732178503, 997879745, 677623103, 541900014, 686020508, 929782017, 973612123, 387037782, 740729196, 526150585, 612281677, 222073771, 844240512, 130422991, 940634436, 289658463, 105884846, 625711263, 347649742, 126549078, 722576240, 347658075, 114871361, 277070928, 612895070, 408312527, 377951537, 206420059, 690978425, 721903482, 428101022, 548181980, 275480418, 779202234, 534324759, 286311008, 508360732, 741631344, 588049850, 544032123, 389117746, 95243124, 610002492, 898247079, 141061030, 888733741, 395938588, 602679523, 271260017, 345195142, 189361893, 273346375, 905208204, 383013050, 454392107, 562107414, 262103703, 135085405, 798719942, 217489654, 753014647, 958121147, 484746811, 805069935, 683413808, 507922103, 272659666, 356539812, 633580247, 645699643, 981036173, 409989797, 357814538, 27810139, 409146286, 512188533, 520417895, 782111415, 529957762, 375278513, 724690139, 223244129, 800591985, 575098413, 11995842, 478320009, 558097363, 810176309, 686846206, 753496835, 800384843, 271675480, 70251975, 832904145, 197103225, 334782156, 807233636, 960297725, 586462577, 585808716, 872719373, 487362136, 1017490, 355461951, 367457050, 948943451, 726381566, 331213830, 487227235, 3719645, 811601496, 28294986, 342240154, 852898188, 275045834, 883506493, 325783281, 592456777, 916893875, 706652303, 834321339, 746112266, 539478489, 405426029, 625799013, 122772121, 273451351, 485440160, 711648756, 426909156, 80196773, 826538411, 750189718, 672809440, 613760596, 419535879, 896941078, 192651899, 363673321, 555667238, 392663504, 260628361, 442144216, 188179660, 839792202, 475360007, 754322630, 535555564, 590023503, 855646560, 963158170, 24082058, 666604866, 139972759, 970981346, 77499806, 398931992, 249971158, 882667035, 217759178, 478478326, 722602719, 909612951, 978367056, 59189261, 848559009, 33300824, 185619513, 518710312, 311309639, 778802410, 95142895, 330412381, 420064744, 646367587, 101465742, 844891740, 319400717, 760804297, 811519489, 93753233, 516520445, 599498486, 290463574, 308026445, 528204269, 370450294, 902943040, 681158445, 447950165, 412420394, 291391395, 740924885, 464486411, 979866689, 605334952, 128791245, 512257566, 729551149, 810091736, 678873524, 495480801, 453094540, 840370131, 810945797, 428747481, 430926493, 943728365, 434604435, 5678555, 723077592, 41326157, 464134268, 39538118, 75900227, 640558876, 83699757, 111989307, 225664731, 695160296, 830128476, 927414066, 664294281, 240686910, 979395990, 256772269, 766952673, 683074893, 943286786, 460338228, 9605788, 329752940, 121128456, 104864118, 400361386, 200431815, 215542147, 669143557, 79053341, 197273425, 145666636, 200446296, 410944924, 703639764, 945739290, 497352188, 292254199, 552894023, 141902862, 404225156, 399825012, 836515502, 198552142, 120657045, 427408410, 126475413, 321960697, 310331765, 332676647, 204392361, 838163250, 229516936, 562921931, 784632755, 630354394, 99983668, 359890490, 678749010, 376655840, 828186317, 987195113, 6085681, 560361912, 233859127, 168468932, 692661358, 86180958, 260445855, 668259657, 200378712, 280222556, 710993367, 851239120, 918992344, 254612132, 646615345, 501622314, 525479978, 341623729, 201289413, 472841468, 512139528, 442060648, 195183264, 177838863, 904176620, 420774032, 938206812, 457443476, 47613629, 395725411, 219614742, 537347603, 652098378, 742719464, 288022048, 183776710, 506422625, 11657154, 60751611, 110432051, 377773769, 883583743, 791926227, 413690648, 91869299, 683624796, 743098704, 316373281, 877188373, 785262535, 396768051, 726397211, 756764176, 406539205, 359541203, 944306046, 128074105, 352971060, 401019968, 734743147, 714148339, 326892091, 519582726, 16013321, 79702894, 936171845, 311927871, 47010850, 925705623, 442745003, 952989985, 103323338, 277819893, 973733943, 258937597, 854299623, 820404937, 755922904, 69475546, 254915288, 187679999, 657014252, 630238743, 918303380, 398385056, 42584814, 254692494, 714157638, 336919220, 264001602, 792986970, 970560392, 144091544, 826216360, 840759195, 839790315, 393356376, 678671395, 117329270, 43315325, 15918321, 801713729, 108238831, 171865285, 781483779, 164116876, 846441544, 672724662, 155481376, 63922284, 336696061, 264874968, 159013403, 509361777, 900982756, 795157696, 402901793, 211037769, 625894639, 696929807, 157134370, 678640377, 112971376, 240332188, 450127994, 768783384, 126868315, 802417919, 743101114, 2713717, 510111391, 577884350, 106892874, 213931641, 771736755, 634745557, 536312208, 68190812, 821623877, 754680438, 953018554, 35774793, 67722678, 15036665, 106955357, 802129602, 48317984, 485541604, 558467499, 858951745, 191447810, 468837311, 708052857, 187957426, 543236947, 894189810, 917286029, 217928493, 893893469, 513733716, 784279412, 77468135, 479216527, 990982216, 130255712, 393138570, 394437113, 929742630, 769263055, 153798280, 924849345, 699144200, 464366856, 79219083, 794980169, 971795028, 974221082, 868378468, 988463018, 417226811, 890445188, 442846243, 690463043, 481216461, 711710284, 819654041, 723691412, 44929371, 141680941, 342728581, 108764085, 967624907, 497879764, 636376359, 609441132, 441159142, 823344044, 617770666, 433081045, 960054358, 268553828, 302466316, 694487016, 461574760, 39888791, 365762306, 331868916, 784791928, 915148069, 133202339, 291896876, 457584558, 652491502, 636574402, 401390072, 548770598, 726406405, 956584701, 4587938, 535288852, 670223822, 775389761, 95321184, 45666113, 273290591, 516781243, 186029701, 304314767, 339680577, 644849331, 529607435, 675420877, 721734907, 898478585, 924913501, 590477345, 737887027, 336933564, 681243872, 50047850, 302079952, 275906485, 968678182, 299927506, 727212133, 167450393, 342259603, 509935956, 838885059, 753968585, 273259069, 448827091, 176163644, 875587836, 567445475, 60166618, 829940142, 619000647, 379817563, 322670752, 404046573, 163417773, 83240400, 419452707, 178395479, 736822092, 646067341, 946086910, 955555578, 242260081, 861446984, 527608239, 363140684, 31708986, 648339024, 260082691, 968839562, 126373007, 164577916, 653431754, 132046215, 941994021, 702593737, 448856551, 362581690, 713145821, 929012986, 551702166, 263437201, 817851613, 233124971, 625941827, 314985820, 364363080, 986125842, 957966219, 488000348, 610311944, 962724305, 856114899, 640134825, 678965186, 105177491, 961234823, 519362578, 575175437, 17005455, 729539819, 381156882, 728458331, 89433920, 92427682, 965117299, 307375788, 827657249, 989961358, 813693656, 950615781, 184028439, 888844964, 910021049, 106953268, 176801172, 399026806, 286058083, 939555037, 931388613, 922370352, 213004839, 931617624, 772089882, 170192073, 857593210, 439223651, 652025933, 66481435, 876405731, 4151809, 773915370, 285572597, 631551603, 127000907, 724510495, 885586533, 803800306, 839624643, 708544496, 366602313, 659595704, 301383874, 530943457, 699047760, 215705712, 416135145, 758829186, 921278196, 82625709, 795489764, 738744414, 68377609, 544077841, 316972553, 425456303, 471982164, 471671679, 240094710, 825838861, 107667078, 100555506, 950513526, 15445381, 401219764, 639924783, 564044679, 176950632, 239825490, 822585836, 584629026, 910262626, 425314965, 928043059, 30554177, 368839451, 883917379, 308619568, 577623229, 22057351, 305992653, 830114833, 350250997, 948975351, 23059666, 731031102, 772422744, 289463241, 946855570, 287621226, 972487952, 870263909, 476536675, 606066330, 815261863, 713695365, 161340506, 519661090, 51464691, 611176860, 193219867, 724458632, 928006593, 685920743, 357730337, 687801920, 466983418, 433482581, 440866050, 199474823, 145119222, 703618700, 549221351, 365038362, 736138080, 610621897, 184556643, 109544286, 407808218, 700640221, 932534929, 598127245, 50506281, 284963042, 553054801, 349809154, 146911966, 397441806, 808457099, 804175425, 901530442, 977662625, 195639614, 326350474, 80782081, 429398938, 60042889, 882379786, 978309420, 409500006, 805151207, 498408053, 974776742, 224066811, 261353655, 681802012, 355747270, 157975526, 907499773, 827537261, 27351677, 81886443, 168509412, 591098663, 91143832, 339087277, 704302850, 762875918, 477454323, 439373427, 739064552, 345479929, 601736726, 440591130, 696966640, 518003836, 887735214, 567653050, 380620730, 598903407, 982963302, 784472768, 226152073, 808300929, 105347778, 227919922, 607368944, 865155800, 447089239, 272100648, 163609195, 33893511, 938239039, 105641708, 241190311, 530555194, 954540847, 20531209, 798688349, 172465357, 389953147, 134750204, 975246142, 468539556, 718668074, 877052911, 771823438, 297665804, 607399622, 395223881, 513505749, 535319277, 311528659, 910711820, 518906657, 806604258, 214601345, 750620695, 103671337, 70885243, 671083061, 458443279, 426597097, 606135019, 734861977, 322937501, 965094288, 295096051, 989242053, 436279985, 173137805, 752981335, 161132238, 895455750, 67893908, 727174769, 502297125, 27674351, 926670067, 815913274, 105350952, 82264927, 258901901, 241839301, 204098860, 933903085, 760841352, 212988080, 55994035, 862291191, 902689151, 847242195, 5734324, 407486278, 377169027, 694128111, 455605243, 47158401, 85321277, 867939997, 520124139, 357430354, 949211241, 979103029, 434038145, 290087031, 640850303, 874538746, 288939607, 162442570, 941626621, 936271723, 694249081, 588338570, 925339357, 578987077, 860252554, 372673889, 923941383, 644178638, 559583277, 828818933, 798887626, 19630434, 618180336, 358493660, 580450664, 129688430, 447359203, 963410375, 244357058, 139031669, 453141732, 864249762, 807588272, 417610410, 431009129, 186134864, 953320204, 467843198, 410159498, 431349590, 940868430, 147443459, 465142619, 258479198, 439810188, 883095478, 899255705, 860423864, 392578417, 860201054, 64872247, 42486601, 546168376, 885495093, 781238354, 197176140, 817146792, 343887223, 270293279, 834476232, 715914486, 351611498, 380546119, 336003286, 296624241, 2566714, 60124712, 404407247, 117907604, 798042205, 137855485, 17170262, 576611637, 231525651, 341080939, 150621665, 466088230, 224943824, 207226820, 743651954, 427122092, 815529447, 939485333, 46120500, 975120323, 719880192, 337465508, 986398338, 581305405, 541628405, 124001352, 398636064, 473002458, 84292607, 564251894, 367094425, 314707343, 448347810, 58354442, 634084042, 497938861, 25957733, 900590575, 259869371, 905027868, 499087127, 175908206, 897741518, 885585653, 185807524, 95669485, 145262771, 122124966, 936703596, 185879020, 296209606, 247157464, 338548461, 619394431, 311689380, 561498505, 639473230, 473351282, 259889704, 241274937, 250127947, 350293005, 540763304, 425785303, 981576255, 793350754, 928277866, 196477698, 911075979, 620918047, 932500108, 623033257, 516939501, 890922568, 566292553, 455878680, 318452481, 180566550, 32089212, 553619129, 955406811, 232375246, 52420501, 241702942, 396245062, 904420966, 671891103, 361457942, 615250532, 210356100, 627168518, 510082334, 150926564, 276599771, 147321446, 558181697, 35744343, 546931577, 693637827, 965973088, 898227234, 943476883, 559395677, 53569784, 314882472, 114682964, 633713602, 310501361, 193811544, 594823059, 223523780, 764782993, 884906133, 671678011, 106305238, 113036083, 266266529, 671138281, 496677079, 38353992, 817834925, 897560719, 553884975, 742670441, 262302764, 168411890, 245762926, 540495844, 93921331, 773011071, 61217213, 351432781, 114896038, 530269675, 143751758, 257819862, 431983459, 191755684, 644648568, 350257172, 121974000, 462520981, 649619966, 997557930, 255367387, 299235356, 659354670, 642055273, 51221043, 307052989, 81969782, 332702630, 427815197, 912370363, 987291946, 965145934, 75902371, 635941275, 131548611, 811688714, 781209336, 524058816, 272195831, 375213155, 376026192, 393272550, 873998263, 574638417, 91431605, 792268784, 210141176, 174921821, 964949184, 151230475, 344775484, 84309935, 60872491, 844427712, 31868679, 833086874, 167658221, 834886812, 628415840, 317054670, 860804132, 671143580, 106836748, 807129533, 678409579, 412135036, 756907980, 203426460, 411033710, 473050847, 285012916, 20264500, 752605311, 154461777, 556217686, 892561970, 33617493, 11090123, 839336238, 631513075, 633699889, 73590133, 218545835, 982961791, 812081633, 961688897, 811453225, 402400859, 973046473, 56132813, 54232922, 833254626, 333270102, 997027807, 460547367, 128125547, 143584932, 952598888, 445902039, 428037064, 622257895, 607371635, 973626683, 414039374, 568293498, 23387120, 59157078, 950966319, 154532539, 967990688, 256771200, 117494629, 426877926, 877058767, 686809356, 108905567, 705432698, 972517599, 5270996, 510926180, 504870938, 273427679, 921014108, 396985051, 571667646, 699368016, 33532848, 174548745, 825443607, 735464066, 809914687, 14934135, 777449575, 100408495, 749220908, 315002411, 768485795, 342472390, 641864151, 431465217, 661082676, 637230044, 289397696, 925200487, 428062887, 974463570, 361844463, 829096432, 119530045, 226527049, 478685877, 27335131, 101875924, 260780163, 204862891, 767819459, 58834123, 658800178, 961007694, 94917624, 676020709, 418883298, 852474348, 321350403, 657842892, 471801265, 831664406, 247742270, 955489928, 927010753, 307289728, 711969523, 221819789, 591082624, 66489478, 596877802, 304738088, 995400532, 278405993, 827974811, 33808812, 608530945, 501484895, 643574467, 49784961, 898705604, 776474727, 291371685, 319946487, 191980198, 620102450, 894552860, 330951854, 673125016, 856024353, 620028956, 228181178, 222999326, 86365185, 795566916, 380893136, 200172436, 527725564, 999446906, 671786401, 617240022, 522914936, 595618515, 2377179, 713860557, 162067420, 984999357, 332253225, 734887117, 140211286, 766094569, 141023619, 238852034, 870028298, 863868983, 873845290, 297117645, 135734091, 564713047, 611880535, 781291438, 721776804, 748910083, 944221918, 582281310, 525144137, 191665411, 826438441, 579824856, 853357976, 296668117, 777506569, 185868247, 160068047, 968203631, 55979660, 645378386, 82841701, 473322009, 415076516, 658832565, 416927762, 340465534, 545574470, 760628918, 372717547, 767678386, 954133897, 112689346, 516969288, 96201420, 893026650, 722808085, 710209825, 503913114, 919695537, 473711096, 585149629, 599438231, 607203514, 168259364, 162164976, 768975780, 468352159, 928725004, 821600907, 49430914, 180043516, 13244561, 100312512, 561416450, 61169736, 631722015, 52911406, 419735938, 514517672, 752211044, 428906788, 224630057, 993207600, 530433988, 284359055, 634052239, 257703792, 934804092, 898862698, 246747418, 787135740, 264510677, 426273432, 825477179, 65542105, 633669483, 519849379, 456066156, 160301149, 919596716, 108467428, 232295738, 394049816, 528086680, 772974283, 929497438, 401888349, 627455832, 289312524, 391102849, 331784605, 786911952, 619199061, 575234327, 598284810, 126190201, 826287156, 136632457, 46941682, 165917915, 79451986, 803843792, 933414053, 821004427, 968494227, 734138028, 910091527, 996834305, 714753434, 353890784, 943868192, 963277463, 291019294, 604484329, 787641555, 377194622, 108268318, 47145894, 492205845, 984106979, 166611222, 470385816, 269535614, 674921721, 605456485, 275780304, 992293404, 546713982, 598396077, 937508704, 286448591, 838625149, 699573137, 862811947, 526922443, 27251769, 847873229, 918729407, 371360577, 911928866, 929056823, 849921002, 978168154, 818366717, 999760855, 383259510, 705163819, 180448100, 416834211, 18053606, 916064290, 348905453, 674629846, 651340100, 127020457, 761569283, 723557015, 156274627, 516286006, 645216793, 973096054, 861195377, 846105633, 695956460, 429978134, 916719962, 989849218, 788417847, 83373252, 289743496, 883747108, 625327506, 242864545, 338443287, 301125552, 795464189, 999538822, 795727733, 802035225, 391477993, 478870872, 797478215, 546475995, 812673634, 650347821, 688715824, 395767161, 820128156, 555287848, 849065976, 831436407, 143822602, 641984840, 772334219, 753378747, 115329086, 490594183, 3866816, 756927618, 117975398, 208563173, 376965664, 931454961, 193548117, 962376940, 85716545, 441038848, 91715964, 155742797, 252507746, 150504672, 958655793, 764582482, 594192924, 954954301, 985670071, 179690263, 912457272, 463933579, 847563860, 311032728, 104480524, 521868833, 427736807, 363711800, 49504140, 818744784, 850162462, 178601271, 780623515, 287294986, 318120543, 632837717, 319404926, 256346757, 632683442, 636136244, 660969965, 189287537, 877709551, 23971903, 457527663, 871915703, 673682885, 623840303, 223267949, 351980883, 262029334, 357551163, 768529339, 39897554, 348977903, 936044114, 856952592, 219653342, 684924316, 968245783, 65971285, 689287881, 37379013, 397592224, 609315024, 156738086, 819139924, 740556143, 716722658, 647724882, 737505979, 634965601, 818594448, 141098648, 621848521, 549361261, 808602626, 700170772, 45494994, 922051691, 214588198, 1207175, 183412268, 832821107, 15566627, 603576055, 981587660, 237974863, 781032253, 632565224, 358257294, 872671467, 4732699, 720366406, 680249833, 234304289, 909116448, 926986870, 43508566, 960475039, 6618370, 649969199, 252236357, 705628018, 237578733, 713941475, 649333345, 591465120, 557009814, 117269814, 361095779, 389976269, 433640934, 72825156, 330572845, 140550806, 127388890, 383365084, 541377031, 53267365, 246988991, 843668754, 37437213, 673931943, 719174911, 923227152, 104984216, 627764762, 26174087, 237354551, 381361256, 253114536, 836790412, 427221140, 579137846, 105553114, 393439039, 11755838, 824630644, 713833443, 273525816, 213092609, 394439667, 962406346, 50538109, 738576505, 451702680, 402573509, 859584149, 482402133, 78797992, 90161172, 559118707, 997569871, 536933061, 221608795, 274719736, 195748563, 564351063, 667905973, 676270441, 719278038, 660836010, 769541730, 904019596, 626947657, 904272398, 535259471, 359011044, 260084721, 623924729, 944691448, 439824276, 465486292, 26732858, 952341656, 421061862, 955672787, 879168080, 689990437, 446155536, 552881746, 224936523, 968887261, 102593717, 799120241, 648277599, 752102014, 464757969, 969672124, 244196761, 477349655, 625520240, 660611936, 597056538, 770529278, 435998007, 513832673, 560674823, 847558353, 4947584, 693235921, 961433609, 428307930, 669869315, 208005139, 616726726, 783856851, 139813198, 406594855, 954066242, 683851476, 962394236, 338950972, 905772428, 628187660, 406960327, 53388860, 689899276, 812258970, 848990670, 63724121, 399172680, 353616029, 70940854, 332032359, 489135827, 666273900, 634025338, 41146902, 966613581, 723565441, 682872329, 633734213, 575795925, 148545626, 413978292, 922701902, 239008672, 837835118, 205738248, 807689160, 407699210, 172866539, 903194796, 54198271, 411780110, 461488247, 183827147, 878487376, 807955327, 934019949, 894051063, 153471799, 591593097, 514109595, 834471408, 759385361, 504418916, 824068196, 478248500, 373407148, 610747160, 388788564, 972510933, 823684226, 589811930, 651030498, 181963391, 965997384, 746225049, 895796268, 617112155, 44253979, 324470018, 514227500, 7864302, 731129196, 939372599, 897043553, 975603680, 596898481, 729775332, 917373017, 397615785, 26815235, 179233900, 57262037, 700157820, 610918501, 861454632, 525986250, 731723212, 651079262, 952188682, 787813549, 370030449, 422907912, 195761391, 38879888, 824143558, 56218488, 68251711, 801659670, 801784480, 999512938, 751373792, 360081055, 181771617, 25277191, 648470738, 631419401, 95041700, 302890426, 224550341, 120155085, 30840434, 395743488, 497890881, 101658019, 394572579, 259826404, 932692290, 717933302, 605016484, 601426732, 658736116, 88829625, 726696493, 691807535, 371722208, 433202495, 624396456, 771188146, 284701456, 700357232, 916259370, 942866865, 806629428, 954972266, 752408308, 235337489, 194242534, 136252709, 814256159, 423192980, 638645885, 558194367, 255952258, 356365221, 436313473, 382360334, 622449974, 91676908, 945212732, 247300108, 392682534, 80627533, 616996492, 913326655, 107938295, 743155156, 515130761, 77809785, 871572922, 400271063, 599999742, 968426173, 487364405, 882703450, 226958451, 336087451, 436595239, 468558662, 956127568, 565850546, 825522717, 436170145, 787454301, 36874946, 998697886, 925219546, 74653148, 583166093, 513744330, 898561962, 487741958, 427579201, 934264679, 640896501, 670546506, 212924157, 547463019, 246355623, 835353791, 568045093, 304387102, 200052484, 148853302, 980820609, 934953215, 771101087, 35167987, 855075742, 365284255, 983076031, 868807985, 369551005, 501907142, 749571777, 40521132, 189169655, 922785908, 617190509, 884284209, 588402879, 209669491, 198524640, 121559662, 864373136, 636638421, 30512733, 778609583, 924585868, 318253317, 724598657, 446906269, 493149285, 965363342, 664606174, 164673459, 80424511, 942218416, 395425620, 682230879, 65251546, 835311400, 212429444, 310172839, 35445077, 174852697, 246707530, 164945124, 892668468, 377423052, 209777489, 205322668, 756750927, 594688432, 587208595, 139605493, 748448721, 485348038, 920372412, 191123866, 75256149, 165598545, 881107473, 487998043, 230401296, 75630688, 301125815, 360817863, 9661318, 969745295, 407456989, 257376691, 690660950, 681970426, 149443876, 597632031, 634315784, 427034449, 526008026, 830854027, 541717768, 647972257, 557005501, 904711865, 65143136, 587646957, 788742182, 854461208, 333956035, 315967676, 437567091, 499439812, 643840428, 297174481, 440272714, 636510124, 190250022, 574458290, 493479689, 104637812, 461512625, 37129397, 6028156, 368816976, 631071910, 936626669, 835738849, 662364278, 854695704, 696176195, 977985188, 340456947, 433355029, 778826416, 638063389, 482771125, 998752777, 972997935, 151802131, 663306804, 218552494, 921328485, 820674399, 445813203, 771617768, 414413743, 478847723, 776242984, 985767408, 540705318, 191843532, 952773790, 509500937, 241143118, 38102342, 129254953, 201491848, 182249585, 754939230, 935774395, 656132100, 515474560, 90364004, 309658457, 578269361, 605431674, 898300472, 950256266, 287668356, 121069584, 176924909, 812118035, 513137738, 16303976, 940919245, 873201899, 92217061, 687532355, 463661264, 886187509, 896897466, 64844394, 565733764, 28513649, 898964771, 74059362, 512267072, 245469087, 694138693, 826373591, 684096351, 532038809, 725245025, 74301497, 280905977, 834827628, 388227964, 100666200, 388673315, 528473001, 801966808, 68433018, 555782035, 965348929, 469078078, 24443634, 397606845, 674128782, 498327486, 444916199, 441343076, 895468497, 300080802, 960240867, 373610880, 560241538, 848236161, 673961121, 185853276, 588874153, 657038493, 844343630, 2480167, 585431126, 944690393, 145157699, 160544834, 607702334, 144139106, 700401754, 868340912, 55392083, 180060199, 308981141, 618354553, 247612775, 341227084, 21889755, 476925288, 140807619, 444855041, 848210083, 320168872, 743204087, 866752897, 558004290, 912523124, 307491192, 273868373, 900985301, 945761991, 84084164, 647084043, 944609991, 402563404, 7409146, 272625476, 939566637, 351968239, 587101764, 74943514, 660717862, 475498949, 415106664, 864708774, 66410847, 754941575, 693235817, 239551758, 244585705, 342377475, 765517029, 244757598, 354281720, 981049074, 231184444, 524880786, 97932670, 503958229, 116314684, 684947776, 244086664, 611485091, 33746522, 363578446, 190341075, 323231507, 39230888, 701446566, 446487677, 947677430, 154793986, 768090685, 481684294, 256554968, 620622603, 5781572, 849322375, 483771366, 604529220, 653935096, 947645938, 3056223, 650624451, 689870538, 225082076, 297924363, 220812199, 909884911, 372967915, 972517259, 238740473, 850946169, 852002780, 734494956, 624785756, 933426680, 865901368, 928267683, 829489658, 661403662, 729099795, 820743106, 308359490, 880276370, 442416115, 930067183, 670390954, 14121003, 183286612, 901154192, 565654333, 77615201, 953432653, 376912547, 469506294, 32333582, 628868171, 504787918, 873819778, 756208401, 444313594, 457127113, 356654268, 46100635, 760381055, 107430121, 824007657, 437985269, 321820914, 720064804, 87269430, 942705591, 109702648, 116916096, 832338244, 511255923, 575628916, 456610254, 248238183, 837864258, 482017241, 857457182, 479079094, 128930238, 801216297, 619505644, 701100877, 219773017, 988396634, 156336043, 190594824, 579143048, 786822109, 450307525, 682880378, 102791559, 935283776, 528482280, 322661924, 343941727, 910207393, 739009469, 682424545, 838947490, 784726716, 122783124, 524244237, 312771085, 185621426, 694971037, 240863863, 437099971, 487335599, 568734049, 280154858, 74136308, 209218288, 182527611, 609175881, 70898926, 398786729, 923015696, 432225148, 925743726, 522512902, 624120921, 894885556, 30083964, 745798546, 4914983, 140750008, 643647839, 710176892, 78046433, 528831729, 9827353, 374852506, 98765219, 177400801, 604595751, 902856139, 519313344, 252154770, 721827647, 588308984, 863889284, 37418918, 723655282, 515992254, 487587902, 832395319, 69480212, 986723240, 25446161, 982218425, 397621113, 363413344, 726793462, 574569503, 750747195, 520894994, 259526135, 721863832, 839121116, 323677176, 456307422, 127185657, 288380958, 445660533, 327255313, 598457088, 386187277, 149000515, 847005477, 959874260, 536040611, 542095317, 765482806, 200643926, 299614478, 898144547, 838371801, 941417611, 805333261, 804891675, 895613438, 397295052, 834620167, 451145525, 617548117, 268313777, 91646986, 618543566, 278416236, 539879857, 201773403, 817062584, 43979556, 107182814, 460502347, 205293786, 570472346, 741054920, 942238881, 56682444, 311100478, 578991951, 928694460, 643874122, 640143286, 845584762, 613658672, 758148656, 706680141, 476062881, 127436242, 925548909, 315049030, 875256450, 408667041, 318813553, 586242290, 902403805, 868374884, 164174600, 226485674, 850711313, 464317274, 219502684, 490318272, 881915564, 241747867, 63701721, 406680366, 129215011, 468895363, 287494294, 946636984, 21050146, 60969747, 550733458, 842849691, 324242499, 596912193, 781749454, 424434579, 178692299, 41004495, 674634595, 522286251, 57284252, 568503594, 370045035, 123406048, 762060536, 280010007, 202381549, 74496337, 67868807, 300433998, 441124267, 603178976, 117411491, 346371312, 135865042, 773735568, 962196071, 698786137, 324178251, 982893120, 859072225, 889464000, 561487562, 57249630, 118416359, 517442560, 574244156, 535003954, 681828617, 499088152, 829089612, 847601707, 731578008, 649948469, 173447065, 709119971, 796908421, 343090023, 80736940, 717322927, 938418371, 240652168, 820221135, 114977330, 440943823, 266861999, 183565408, 291254884, 964942477, 873150888, 84993111, 685088032, 393777548, 550900502, 814429509, 416094659, 148066771, 940291909, 155502901, 694307839, 199423322, 816664625, 412356991, 937117171, 275822685, 349227227, 488496724, 907609660, 251857119, 252432108, 85834635, 299716405, 751263379, 129032533, 977858696, 164143272, 944530985, 367704191, 950471232, 561885976, 590034771, 957665940, 276341469, 984743161, 883569545, 922257260, 436537005, 88453223, 267487071, 813864675, 486514815, 984378401, 650318652, 879919622, 350888252, 362667384, 672753035, 619706288, 587470884, 777920127, 35489176, 114275354, 934279301, 590479505, 446899825, 287350783, 741461454, 781631723, 167893318, 743221274, 19905201, 900560752, 891458656, 902815500, 220052673, 559740574, 943200464, 73496681, 881438704, 532888905, 157853392, 181372819, 62712023, 888291996, 46142742, 838887694, 453094925, 987731732, 901442193, 942551074, 14708937, 693715975, 599148692, 902463761, 954645400, 488605043, 840740407, 906431585, 57035546, 944142827, 658390331, 973000137, 484657738, 602318045, 174683528, 821470866, 666060025, 213223373, 702553254, 374763623, 70925328, 462735975, 4963777, 393271322, 33126199, 175304468, 784112547, 653297880, 101946138, 604505608, 763134235, 121476732, 291760134, 99933519, 470390410, 385678615, 414740250, 582566278, 908953411, 809175105, 993170623, 716432181, 529445977, 474074487, 951128290, 669483238, 660975828, 934764, 521790961, 799582352, 319706284, 603501529, 20971879, 587852367, 4647391, 91558411, 400145715, 209310146, 590326708, 239301226, 984567849, 988646156, 749131566, 786090598, 716647975, 883415758, 437647506, 289455108, 869099655, 999389673, 826147277, 706399713, 915240234, 75100787, 971326337, 952019079, 416150118, 688510843, 927119757, 586260822, 259266884, 717962809, 380194, 109645369, 886433956, 641107360, 839421904, 516365416, 113583376, 985757471, 340558356, 486099838, 942243326, 543138066, 9681700, 452752238, 216763802, 394438469, 594669426, 671698464, 777471299, 956246584, 822217430, 748674864, 420655829, 647762634, 948848938, 439557848, 409758667, 551719063, 393401735, 497154005, 971413360, 10557683, 695318102, 614349571, 891404031, 44685567, 627303470, 886016060, 366234776, 173158491, 451880355, 522587020, 153416109, 366230689, 42670862, 609151337, 468760139, 9713798, 95285851, 870835162, 437214056, 615722391, 370675022, 682115251, 18874212, 505322959, 624290943, 469611322, 528990801, 804916708, 671689075, 306923636, 363348618, 652921476, 842603530, 941782105, 835773798, 941256054, 857560835, 975022510, 313734699, 514068700, 607447705, 863621152, 845502734, 900274358, 55533445, 522348910, 921047808, 603994503, 536247285, 674708907, 572513695, 353944596, 865348045, 673528916, 155351017, 189817410, 977733505, 559027268, 869436500, 563152336, 102797034, 538876163, 116771134, 607973650, 104284662, 520102360, 734840276, 581836419, 926307392, 797564685, 596498449, 410502027, 106543286, 734839042, 38286107, 126433475, 885677202, 528165406, 909458851, 745930957, 801474807, 869048610, 401583996, 411784681, 413089678, 90135217, 462376035, 554361729, 545653740, 976497606, 125768206, 260077051, 631436559, 4255713, 114013991, 71790325, 64693169, 917321588, 782241657, 465142061, 713925770, 143951767, 78606601, 572799935, 478986421, 296773156, 455941631, 746018558, 36184207, 400143913, 584834541, 250644101, 331064754, 963541663, 777664141, 674516108, 593926417, 579953178, 270193848, 837637437, 816704663, 179325218, 963418067, 37390240, 282376946, 673492893, 456319100, 819078306, 160604707, 799794633, 782675304, 188898596, 505237529, 514339591, 362343983, 570986924, 769635288, 253783184, 384809138, 509249171, 353275101, 843335284, 753499370, 239022196, 96789623, 102658832, 762291499, 729366620, 852725217, 186026388, 905257127, 516468109, 531795733, 637865091, 548205127, 124917846, 392697266, 266808452, 298922740, 140994807, 26289693, 896246548, 386701882, 154511906, 824477495, 403024478, 697119392, 610453794, 320892936, 342943112, 240640213, 843645975, 933079921, 316376429, 383330094, 972591519, 575846044, 860006247, 489374186, 229435402, 299138462, 697543234, 176585257, 564024825, 134148676, 649977751, 99237092, 963514428, 366660178, 308918349, 429367231, 413131748, 351623239, 412145604, 62901370, 60629614, 296801846, 892187863, 231511621, 331919374, 797818955, 817466610, 973242761, 313016255, 15083681, 208522392, 902869917, 674390433, 318046321, 378094528, 269509893, 661458627, 851518644, 996914007, 333077758, 416802588, 84963490, 286514519, 31519047, 417853246, 824049685, 266523000, 917602453, 577186800, 258636910, 777716422, 906591023, 688262327, 641151842, 610471466, 136195464, 739350512, 756156376, 793904676, 962858006, 157907228, 13846592, 452036667, 751835294, 191689501, 840349703, 596773783, 672022149, 121454966, 519345548, 226209036, 932405741, 828865447, 134222604, 924442604, 213348592, 201120066, 196916968, 462877264, 903933621, 927688394, 634840956, 934925974, 274062903, 883273363, 499224725, 929511940, 232882108, 892671121, 987073827, 383805138, 957811226, 460942576, 177874871, 448191102, 843537103, 839776824, 548238253, 381297159, 813141667, 682459961, 107956482, 305809004, 878190334, 957466759, 771702292, 892324788, 83761116, 979989717, 858558342, 12324619, 584713961, 632603432, 793103119, 818382417, 911518576, 573204907, 518308168, 585232060, 629786127, 167729863, 35663000, 783543597, 373841326, 612253794, 271258180, 959649529, 918076882, 76761830, 100087304, 869145763, 940923630, 383083983, 554079323, 308897912, 162766157, 468630272, 477367283, 681394469, 647612580, 734275699, 328886945, 558843319, 235877977, 955091666, 569665948, 159391056, 174211264, 229782060, 27248555, 794629141, 949167498, 917712653, 285051763, 227365684, 169919545, 67424834, 199765942, 991531232, 767072611, 931804676, 146580901, 829650770, 423005406, 128087048, 323460565, 29972556, 843882118, 887100917, 117373248, 401938920, 270583421, 294264399, 392411707, 139707496, 728395103, 264369435, 323131495, 260398833, 993857929, 297649320, 469426442, 651775118, 343251262, 853899095, 355949795, 278161625, 422610536, 772702500, 54860979, 240881252, 38302286, 331563411, 961005333, 633361220, 805832562, 453392808, 564601339, 983108230, 806809648, 166134666, 842703047, 626500683, 494130618, 909672854, 172894387, 223968095, 315976111, 219639208, 104802260, 638272872, 97307735, 614818366, 388482436, 427882619, 316331429, 279162665, 68974461, 814868406, 735844964, 502646216, 402971636, 352033806, 713758100, 817558798, 399537930, 256053203, 550443126, 215434418, 873880435, 149774910, 646716515, 516582746, 118423161, 928013081, 655259572, 192166919, 761899800, 625584209, 790269049, 898107678, 355261320, 151017956, 927183660, 901046989, 978125493, 699665128, 506121159, 940067840, 329307444, 484709189, 179078036, 367539878, 196912629, 598191365, 650968175, 507455546, 140662363, 317944938, 860691378, 667804426, 118983643, 694871405, 756790655, 339504637, 191411358, 684972275, 805076591, 72954868, 954324318, 444926076, 612635024, 80472025, 165838897, 110288979, 607855292, 765549807, 705723348, 293708374, 601713690, 752720479, 722780511, 451171514, 760135362, 506773487, 511147268, 904944281, 50265339, 109021529, 4267929, 578041343, 666060082, 834698382, 951796527, 794400567, 211340585, 473879013, 578093871, 426855378, 655888390, 765773157, 423335472, 536784717, 785431551, 590665872, 689589066, 826454684, 903398157, 575670300, 662842376, 340449422, 464776110, 777864185, 536762891, 893089860, 467974665, 802030318, 952092388, 52364860, 673661390, 186820208, 785864861, 729537468, 817344929, 897462045, 300583856, 256301628, 654014091, 364647211, 107568830, 264616052, 836594567, 377392976, 69716454, 735663285, 628502636, 245416092, 987627180, 75877844, 836608087, 148890969, 466402640, 184824552, 161896476, 380077987, 738116693, 925632885, 989602071, 257997609, 939828880, 253287524, 959838798, 110731292, 34345880, 185899651, 954248550, 863393011, 282286369, 207447318, 837122152, 586802655, 340496603, 102479075, 826635185, 825281817, 650698092, 33438612, 12950803, 562501837, 95872077, 447346827, 384222998, 914984976, 629634895, 737509610, 623434359, 521877612, 544115447, 409638843, 571303277, 908284728, 625212919, 777663797, 261398798, 132267048, 134186971, 651437285, 501901760, 805973067, 233503060, 98848505, 486180288, 836815994, 479038499, 332036327, 854056013, 409256242, 602157300, 335614059, 52619776, 848193246, 604645290, 520063535, 351728791, 76632589, 211890222, 906157746, 924511775, 107446708, 159973930, 820489916, 231817059, 601301516, 440560157, 12933268, 669132670, 808373610, 824890609, 236442215, 20632954, 443156108, 44295285, 203761471, 468886899, 972075431, 301578469, 856113551, 879360048, 459737209, 750956022, 552423090, 449821356, 601667332, 460643414, 240050034, 940790192, 377402125, 450829162, 716880651, 124856574, 828419438, 417615779, 895166265, 348247944, 593636929, 101763891, 280498599, 242198648, 426199413, 368740667, 317882355, 976732846, 591651874, 286155702, 281600154, 55163115, 393734114, 268209051, 934561909, 623396324, 16024633, 225243403, 371860202, 284531835, 380023600, 403365318, 68510897, 297670185, 308351529, 476249297, 895546457, 556620130, 791123657, 159873121, 200766959, 511763872, 522614366, 17855435, 769557196, 272261992, 854397103, 244616186, 935456379, 42497208, 899213379, 313032796, 552184006, 866951889, 902324592, 230805713, 592420377, 120134695, 759794998, 342567821, 741666931, 732115005, 164041702, 220861529, 519368132, 633132168, 827106602, 270850742, 61171375, 988732049, 179100796, 4116131, 737206092, 806677693, 547901929, 446283571, 705743409, 126827665, 941666643, 270061621, 758050818, 338636704, 584054820, 173499400, 679959085, 794822335, 504839491, 101993911, 712997236, 54022831, 356154960, 639216695, 827723394, 906862441, 448645233, 248173559, 830456851, 43732023, 527020999, 99396276, 568932629, 931437159, 435045081, 200448241, 170900820, 31550315, 347148923, 586320307, 759055177, 663458515, 238620462, 634476728, 561748719, 743604791, 761189356, 494322720, 777109720, 306584257, 595176244, 909819988, 961858955, 447951857, 472902925, 373303117, 62459921, 801078357, 534818861, 566041820, 836457142, 115282334, 200597818, 102503136, 64190551, 840102170, 507313202, 391873976, 550278521, 106582782, 835356033, 27094824, 971043462, 511336849, 502736477, 603985111, 563172451, 574779458, 455220906, 488767983, 587019108, 968645153, 635835414, 881790154, 671198453, 797906853, 215629244, 918612364, 727968806, 438823214, 42142929, 780152617, 639350136, 101995894, 398590460, 475663585, 824791263, 657178983, 135528029, 279498641, 660433376, 870857251, 774853172, 977739928, 310386265, 148840556, 349581905, 849222426, 173199358, 626470090, 246250023, 853882092, 523811058, 616608936, 495959373, 798981276, 90332676, 883235787, 403264837, 581738883, 769665944, 727371298, 537907107, 768491552, 752515650, 233036088, 911944660, 99981895, 41450036, 177399482, 301801618, 854393684, 934005902, 957474632, 508397381, 612284548, 348583540, 651475609, 55024198, 253751100, 545903471, 131147411, 471544796, 720661855, 178624167, 774345914, 424752084, 791510751, 634461842, 39584525, 245819012, 97869673, 171969118, 300823256, 804693513, 89783357, 173472196, 738343478, 493500133, 357318864, 971319427, 988457794, 565314232, 948141068, 329518695, 44448860, 481853254, 924040126, 925020206, 505088956, 221730999, 328120468, 767091432, 806460938, 69577281, 45516403, 14373613, 8646318, 656633629, 642741126, 129039404, 514163459, 480839984, 835886102, 523609674, 714052681, 364704966, 799203845, 17978030, 25935293, 777726980, 207218216, 336260304, 253346013, 323353766, 218349471, 718104495, 593713853, 88495678, 549103385, 474582696, 424785846, 792395498, 279166132, 946156444, 505834506, 800482914, 396683495, 841978742, 119680208, 428740148, 292973238, 55281897, 271197487, 318292491, 583571859, 633693597, 816216556, 302547419, 430050107, 945571352, 751637669, 466472072, 503772768, 964583777, 932580679, 191315269, 256700926, 316742748, 885467729, 604433566, 473810862, 327115194, 394125865, 789943308, 978761074, 978630944, 404934949, 681849049, 410066015, 292161928, 335403467, 720125188, 304386924, 443506291, 938601180, 662002257, 879055663, 907479831, 183027987, 363467528, 860809152, 911079402, 771687594, 685286992, 638222487, 790109622, 4853430, 69124975, 408048088, 371813737, 107931039, 461700838, 674334374, 406202640, 913571569, 280851934, 257820760, 674020524, 533667161, 257210687, 891722501, 176277590, 565719126, 955447338, 505239267, 835627754, 3906038, 906504647, 959214439, 905993577, 117496797, 356705577, 413128754, 567644214, 396003573, 28244, 218271991, 142710070, 33012061, 702230754, 304521700, 529303569, 267336793, 268385732, 805257061, 535257034, 527007280, 241196995, 68766400, 854532469, 68470673, 985697767, 19685662, 995204332, 920535616, 589783340, 93075080, 488358133, 81080741, 69871556, 124586277, 564908852, 651407181, 779670132, 359191792, 562398944, 173737333, 328658137, 456742637, 60692810, 966077745, 593592970, 521157046, 196414849, 665860347, 315517934, 898675595, 348074581, 149698369, 195790409, 2782647, 774829277, 391730618, 307588143, 827863219, 558016826, 137369112, 828384337, 615086152, 748536570, 693716847, 311401976, 768308743, 370689494, 486979285, 349271534, 476551299, 552911081, 487882570, 550691372, 828234176, 116663976, 247611953, 142638662, 321303569, 497615768, 135282842, 475910355, 758003902, 522009435, 248539714, 803610662, 454617137, 497696447, 152133005, 123245609, 920403696, 554492744, 799622979, 348653403, 22324013, 866606414, 568598040, 280229000, 346339736, 228609493, 972242399, 531356648, 433706771, 342108644, 746974285, 700105442, 625504496, 853752434, 52844995, 183991145, 495669693, 434889799, 987509580, 363660962, 454550091, 287331365, 140594500, 441003799, 354613915, 767687746, 109051469, 93625101, 649090790, 395707268, 514486382, 420958355, 208905031, 788948443, 793401454, 848280977, 188656495, 832146816, 946141126, 771205804, 992244567, 330197294, 842103289, 489089040, 684322339, 223646171, 140864782, 515566405, 208626336, 10244747, 542045352, 575748788, 136828945, 969214219, 365758634, 507883341, 35393056, 112057917, 540202328, 557945483, 961684434, 14957837, 422388736, 383256063, 330583070, 993815066, 482867614, 692583121, 21201994, 938511471, 747730065, 746426309, 156314028, 574649662, 971474352, 773835223, 820596839, 131539172, 70534909, 386305608, 246383468, 469524275, 967507870, 445523506, 529431823, 225653792, 502677538, 187046411, 907807775, 22868511, 118241441, 355448411, 987684315, 803241387, 4722750, 136524734, 58027273, 139563084, 161923827, 602923401, 2079035, 20327479, 407720917, 709010916, 598660990, 911869444, 823752003, 301181110, 88351652, 883439663, 469907099, 386066389, 548625868, 252585316, 334093271, 30844916, 793996095, 983045835, 585724984, 287730, 163279379, 223557408, 518227493, 308831002, 800744514, 266959816, 557610561, 219319622, 520496859, 804234974, 905325615, 797787841, 660477827, 544798023, 978585350, 514661096, 746711587, 991402267, 6100414, 935321909, 614074675, 679640880, 575175107, 640805405, 1440207, 869422700, 606398154, 844716013, 320098844, 985435831, 193409833, 122812626, 858675525, 183811430, 608468523, 326981665, 535100691, 752314225, 459522734, 755751256, 665899668, 240678510, 868233002, 121326822, 449978351, 514103113, 685632689, 173564918, 424912831, 433576276, 505400018, 442373795, 837046061, 922391663, 306700500, 605122326, 839145405, 462015266, 928774884, 328937725, 383304671, 904168335, 276936045, 908575504, 128144999, 235005557, 594551408, 922731277, 508412759, 578029486, 331482028, 190471622, 292648527, 978599240, 823068601, 47178580, 479820547, 461357545, 829092408, 392967123, 710219841, 928368712, 549275288, 658721641, 139106428, 770300849, 916191638, 875379877, 777192028, 646421179, 528131343, 409790783, 506866585, 234527887, 340719189, 165268317, 237926987, 401677737, 117403894, 131078477, 563125250, 486471620, 772281869, 973153919, 393217439, 613514866, 57213597, 180438995, 866558332, 463059033, 284124597, 436251671, 445174744, 994760777, 317058483, 625832068, 393377353, 371950179, 721551834, 320393347, 366486621, 993750454, 360966567, 891922189, 795824010, 85074362, 250574113, 611935889, 937814118, 549050659, 361835285, 847353414, 164115521, 819573783, 48784824, 992570847, 508803973, 526796332, 567485451, 672287748, 650909253, 533376651, 142728223, 349238301, 480320100, 444903303, 190742081, 913313485, 354391188, 145175425, 786923183, 326337595, 382447673, 19636381, 247966063, 324880100, 283860698, 81734442, 854860153, 888521264, 484438076, 302127338, 437006473, 683896936, 429664571, 210394428, 755239313, 329042276, 601043750, 537987397, 517374778, 331649578, 997282503, 635250115, 840098893, 754126514, 470254024, 50277060, 623968149, 362622883, 622338494, 696362928, 751120852, 841797941, 318586874, 211424892, 260689410, 964080219, 727049021, 146013990, 123515515, 519527441, 797989813, 450012590, 57946585, 614840084, 327281862, 353525679, 268674394, 867212291, 252555578, 956043514, 713118107, 670318186, 522179156, 289415195, 831067703, 146587072, 567234676, 613162147, 788690466, 440769750, 58951686, 785426981, 750990277, 869802778, 219982102, 962492189, 358235725, 30260262, 126507282, 697264269, 114411850, 216273950, 916127622, 811211183, 118555323, 915653673, 785686415, 737932809, 39377865, 89806192, 842560895, 448637960, 552231367, 355611835, 530547700, 613920949, 580601350, 448537480, 864934990, 924624121, 251283098, 147729722, 151359298, 196536761, 122121659, 463678322, 349281863, 18479376, 450980010, 363808521, 704567963, 351088017, 367700701, 491177640, 202432217, 726329593, 394508207, 339924880, 33558962, 162084888, 52328072, 711595278, 514100643, 190580410, 863398261, 809765267, 54681000, 315630705, 400448324, 673793450, 144678162, 250216550, 816021880, 450403846, 8558980, 713812696, 77959169, 745347446, 895885472, 127986015, 959593465, 843461576, 58439061, 676448489, 717351426, 555127174, 412755048, 284811141, 129401350, 840565739, 682902224, 948412964, 374567192, 122749865, 472582897, 866456554, 761381388, 273014484, 837520851, 587283890, 515381668, 793398401, 496734824, 217382148, 420790990, 894438793, 631224260, 248162243, 999883202, 513474091, 608652265, 192671988, 969819837, 100800834, 187821261, 912825859, 158233805, 754947483, 997371305, 768936496, 986980757, 404663899, 173463995, 116210435, 856523778, 432996029, 385250055, 643364997, 942368085, 713830890, 23652549, 908358637, 912921536, 191906754, 975367496, 389955866, 435879617, 630290560, 323048229, 7779687, 321267335, 340284972, 574280143, 723783013, 265077614, 131308542, 776928377, 174390374, 555874413, 660716368, 313296796, 52266827, 11533117, 384307356, 519672559, 808124832, 915889716, 902234797, 405088763, 120245661, 429615586, 702736212, 281812473, 807732777, 561007175, 670614991, 332303930, 792711329, 848928529, 506503142, 757023287, 647946087, 327581343, 904798386, 454573600, 481789308, 729740694, 292617488, 530421398, 561675056, 652715752, 787453268, 673909034, 632072954, 50250737, 13626792, 77869609, 537528870, 435585195, 876276468, 426036206, 340707008, 443212348, 356927578, 305429367, 195679919, 248876033, 118155183, 3113845, 853245268, 599248801, 621707337, 481463969, 713740078, 744798626, 897538990, 110695246, 788009648, 643951371, 298047455, 48423719, 789674857, 545785806, 165025115, 632462636, 624477185, 465841467, 577857953, 684617055, 454273994, 22184752, 375963911, 406192965, 570669846, 742227781, 889445596, 137106323, 91934029, 914511895, 316256580, 952728290, 726208569, 703859842, 289057929, 250954584, 966749852, 982067284, 284476736, 877453769, 594973069, 769534647, 580968175, 472121323, 88559169, 685864350, 894084740, 372521778, 188794362, 119142774, 240965582, 101421851, 762855831, 732555575, 957728970, 87347321, 486133591, 159142458, 269899297, 600175608, 445557249, 248025402, 526270961, 455991738, 584859308, 352535638, 700236161, 719159801, 539439026, 670286911, 582353995, 392518643, 717371262, 164436710, 49434987, 418824103, 548998260, 803319833, 110883865, 511369278, 950434445, 100263830, 806853177, 414946763, 556358212, 734247131, 740748283, 156564542, 515110770, 747218318, 1498061, 832323021, 165357278, 658103568, 528013715, 904487704, 531236999, 558819306, 924144275, 633535182, 886580669, 806626475, 536733832, 749423036, 13535337, 161633875, 159540176, 712661279, 678570346, 819309982, 68606159, 573578914, 755386514, 35465819, 95187969, 416617081, 896674972, 552598607, 665036588, 800713433, 287180480, 805138033, 677570945, 75594626, 639314355, 264575503, 371197958, 71409054, 651003750, 467982745, 438520534, 905252806, 422058740, 282297771, 256013323, 22454071, 320578501, 75399992, 23606343, 653283846, 789868548, 272154554, 352528964, 92016600, 701710321, 410079702, 329245332, 134959636, 551492296, 780747424, 414999245, 689838118, 866203472, 359856794, 162380489, 745917491, 842322032, 740988448, 211613619, 732508142, 796854200, 593722846, 341121003, 398363281, 686505113, 465301558, 202995017, 431163600, 403009791, 415627199, 905334843, 923179341, 232502610, 863507052, 371507292, 179828881, 701895675, 324581463, 170635190, 525567420, 175769921, 617973037, 468789557, 445223705, 56046503, 216621542, 679212607, 402705893, 721632394, 544271024, 346286019, 54589283, 391551333, 691509458, 64040800, 640533053, 599980940, 77650814, 769057939, 994864110, 11888892, 113710300, 270036226, 633898476, 603399897, 605417984, 251008482, 420406922, 131115864, 372774432, 874151751, 943203773, 705766076, 167231839, 866606174, 197951730, 408121373, 838437913, 51490614, 690686263, 735117657, 784206944, 819391929, 557416004, 983348479, 893227330, 885857478, 386937417, 803774889, 834631994, 702799210, 565252625, 309888900, 871358877, 203832688, 583462528, 48840810, 311339361, 187758242, 451995885, 4069907, 528188759, 350912339, 488189119, 103449878, 377318914, 288177913, 605711655, 875572048, 975352038, 984780334, 532409084, 284263443, 59004274, 853584436, 847466105, 587068144, 864856108, 424388507, 162880645, 820349109, 409579507, 1064265, 728122388, 664803758, 54171052, 597457446, 84892094, 307657964, 288911258, 456607, 71603433, 195484615, 150291408, 368930716, 369411451, 96285010, 959203857, 919534004, 498183021, 175223597, 700400368, 328362745, 140659531, 367871584, 8384960, 207264759, 808707870, 794657371, 245204439, 180151216, 606798864, 947082059, 647779055, 279761945, 19803485, 758153088, 407228056, 336112906, 827522211, 359190975, 994229204, 421283047, 60237334, 171970781, 925119727, 390545327, 341955282, 52574165, 312475124, 28548625, 650090241, 891343280, 989917154, 927551777, 779552423, 694511410, 572049570, 718544788, 148494843, 952415068, 258521340, 582460802, 363671916, 167412683, 583977797, 257904646, 162074482, 877823925, 943964975, 195820489, 618710341, 512335027, 272101125, 170468441, 49540449, 867441937, 211064554, 276589498, 827160070, 677412628, 159334357, 517167128, 762136836, 92631185, 929099293, 189611537, 10162985, 143048978, 324992017, 454611188, 975733143, 929419951, 314829751, 796312403, 203993435, 159325914, 56414393, 304814637, 305629290, 842600827, 844599813, 385435511, 551711111, 863900333, 744811161, 794895609, 858786768, 687033257, 446788794, 487235428, 826923608, 797164884, 811407760, 292255284, 691835989, 70879386, 335455465, 490915608, 282110383, 191297065, 318348330, 426658464, 348328032, 597350555, 413199934, 364581660, 464496364, 130584928, 73118628, 525825510, 103978258, 904314279, 981335897, 264697239, 957858109, 259215085, 582466771, 808976922, 553297692, 424561962, 83429879, 752857452, 238766841, 978943229, 828774229, 315690388, 5236022, 551643281, 816549539, 512594675, 425046241, 53734276, 60643739, 425132015, 136112188, 499601432, 749145606, 711034290, 474117764, 422654300, 237212879, 666325677, 197086238, 846541544, 955729386, 177142607, 902229762, 975424918, 766369249, 600735765, 68794718, 185587301, 213601629, 738363310, 267876906, 360306930, 706311362, 262572166, 290791118, 638795199, 923537830, 428878817, 380349249, 517184281, 120375917, 806992876, 85416194, 255247038, 315775360, 758011125, 615052859, 183686325, 45286046, 646542626, 506309248, 596333782, 93907682, 621617795, 975600598, 869977003, 990613788, 665118478, 996096644, 619269591, 36703269, 454033770, 183041358, 875586924, 217306106, 278000341, 874634320, 846739375, 549272169, 39076595, 587630029, 738256490, 913152035, 550116894, 803621473, 234756781, 885579622, 253033264, 730718933, 890503243, 51664053, 189938564, 164453357, 430349758, 341082149, 905123851, 80427495, 330473925, 746672134, 581346028, 977738204, 635895339, 341523009, 18672678, 158888267, 106705666, 63649010, 13177489, 54972767, 584223297, 285110575, 583389274, 66481704, 383356705, 161459987, 496600305, 46694042, 839794126, 238573723, 705282668, 988622700, 77126480, 515265757, 607007270, 694136485, 980020793, 150831022, 770288211, 491285241, 798498327, 631091303, 584910655, 571335942, 731767094, 223213805, 56088022, 25770126, 324137874, 63295411, 741746038, 419266821, 67460150, 28229419, 939439337, 714601278, 40139978, 423823391, 901059680, 328475141, 36156642, 250355469, 961392592, 462781539, 637526341, 344090057, 916185844, 183651464, 205203185, 971455377, 856497326, 336744985, 532478434, 264367611, 58501554, 627539219, 804777444, 533167441, 31060232, 923285366, 434848228, 630289945, 177904990, 128450120, 841430839, 532471787, 411500973, 721534577, 208813346, 536558046, 721336477, 603161192, 637504309, 816564701, 725041135, 806251230, 705205476, 906549518, 784519288, 532090027, 451176481, 460674371, 618563174, 721609986, 141878270, 673052789, 515791, 968578291, 402526783, 851400985, 252408899, 661119348, 935715814, 925652386, 794929695, 300847380, 637148471, 251422959, 917749400, 669390697, 84360616, 881319400, 137634208, 430927155, 544735213, 796152862, 988669447, 587919995, 19039231, 397243616, 619500214, 374368041, 212496618, 785751657, 504363999, 783675468, 58109062, 456527245, 176600067, 464746788, 539525636, 974120502, 2196361, 37168794, 211222428, 29633955, 972343608, 750300475, 647501541, 489705113, 144348236, 120376446, 909730108, 983576844, 42149344, 680026507, 95892552, 449201742, 867278203, 500257547, 4089930, 795996936, 465739826, 364873000, 21022783, 938338517, 98339645, 548134514, 862304392, 556986970, 667856343, 699275815, 559843375, 562202156, 826098030, 345037321, 412182719, 889780449, 767474432, 352124925, 615745022, 51162617, 887799392, 783990394, 286711663, 585978631, 585806699, 208142555, 558655100, 88758698, 116150230, 924604672, 528556035, 682108618, 725708053, 883638524, 645647220, 593510485, 263622806, 686572808, 279048222, 447250688, 87314483, 189461519, 332790448, 772047053, 406313632, 620176865, 228119742, 981298268, 797440753, 881387846, 614584531, 802612738, 267991741, 37712361, 395571909, 339497244, 694984929, 696289863, 126160646, 749156066, 22976806, 663820969, 950134578, 636192158, 959262446, 197675564, 738169283, 378566175, 948862079, 569140734, 758688332, 742834992, 481158719, 547150064, 134431771, 856609477, 402163950, 126008897, 107547931, 818983519, 333237909, 32924730, 606269395, 311085079, 19561707, 6883491, 125983504, 643263502, 202246112, 929631867, 990181199, 198920103, 67935200, 456461929, 661342053, 255853086, 648081906, 167509990, 345775625, 293184169, 444209811, 604512507, 262203682, 452373123, 942789896, 708072607, 626346892, 885653408, 801530006, 139089867, 121543754, 420357235, 73537338, 375902339, 57275413, 674386702, 46025213, 889221796, 857658248, 586092052, 564734638, 668525806, 364495279, 852395155, 305755518, 304351531, 832735978, 877789895, 202893935, 144206341, 696251467, 319143973, 102853250, 708663464, 860450204, 921030329, 493909114, 755003043, 108078960, 948496441, 672012318, 226070809, 353427011, 121340810, 374127294, 384605081, 298548862, 580062999, 810945908, 113262655, 663363470, 225878331, 921367243, 14382517, 819831429, 294536905, 588635511, 168375448, 9525521, 753271367, 610032231, 560123896, 763148844, 684025792, 77962271, 918931505, 355744878, 831892855, 648985177, 803778091, 210407200, 929023297, 547533179, 412466417, 768291780, 606181811, 402599451, 412799900, 997131631, 251863070, 429375386, 554118372, 833715861, 188293390, 941973115, 896282530, 57496181, 121553842, 375686988, 999926415, 17215707, 315717889, 216355359, 920118252, 407556569, 131675287, 426896629, 64710279, 652921475, 900833498, 13606274, 471408115, 50721889, 843130099, 141137647, 615287599, 40932991, 897865276, 376112091, 687312966, 245423264, 749281933, 843685580, 97935135, 639527844, 430279392, 708455214, 591047669, 302520341, 709213837, 694038547, 224060837, 655264550, 301607836, 212904604, 3884052, 861814789, 4784592, 231299353, 440622191, 407351114, 10503698, 86396702, 23538578, 889180678, 918583294, 95470673, 19484927, 417909621, 355941292, 24232175, 631574633, 479758383, 557590902, 793445162, 37787728, 922688287, 549670192, 633631310, 48213020, 71067311, 702788498, 330026801, 413489396, 683133832, 827862696, 98007386, 903349596, 322926898, 933443395, 769737275, 400159902, 595739964, 499066962, 567231962, 150068115, 784789477, 370617650, 693252060, 183333408, 939095699, 972844611, 167342180, 714206655, 886544898, 1455556, 589254699, 58537120, 438570954, 11209084, 475847982, 142498685, 73557718, 627398589, 206553537, 687716355, 847301650, 473744101, 843120033, 19379489, 280771805, 448674169, 95241233, 513535958, 454036505, 327947380, 880210638, 460007530, 546988618, 123829201, 18270041, 452220294, 541885669, 944880199, 428588781, 120315669, 471190856, 786786593, 856194551, 348126778, 380342816, 164608961, 730795284, 930965006, 845245064, 904852214, 893527134, 906986326, 523785804, 222840149, 783892429, 888511422, 486947195, 585948881, 390977015, 912782937, 882657496, 641458511, 2182664, 994608713, 226984087, 481617826, 452427783, 464618708, 549839623, 485178568, 251351929, 344142183, 155442059, 488414439, 231558947, 618101703, 689963756, 521385637, 864597551, 617858218, 631982323, 159356308, 274403415, 86088631, 454170895, 362081195, 450331481, 595207497, 981181397, 705070274, 224053613, 286775240, 315074568, 648006741, 6520361, 158787631, 290029351, 366531835, 77916290, 470868415, 95637030, 786297872, 563219913, 32615573, 884919680, 654306789, 893564745, 318701647, 314343125, 566458328, 482701992, 472185696, 705690178, 908205419, 11530383, 977620946, 819975038, 557804403, 725996256, 904800633, 548172214, 422550610, 887775374, 395512, 868684197, 913220175, 610441530, 127583213, 674563137, 823678458, 720028863, 561596866, 702101955, 121394322, 474314509, 243588271, 327927253, 416242016, 555175302, 544113817, 196775085, 887742060, 570082888, 118598072, 675768506, 697768796, 852765525, 669424629, 870156655, 750529409, 862262764, 708976068, 612876277, 401992190, 491308412, 317277754, 340993668, 684649909, 737992191, 258029929, 819323016, 265402524, 414693564, 993744023, 421324169, 733086219, 458622145, 531021768, 101345015, 442225410, 918298910, 282042538, 875955513, 546239252, 665661704, 693790070, 406507812, 578512137, 879105740, 812103902, 948277124, 507889546, 87264987, 34800054, 394635796, 443115580, 476044649, 733390552, 285800826, 561371571, 314194487, 300048184, 208464315, 216763853, 364794431, 298030456, 95218669, 231207071, 516112462, 78804304, 865634744, 367957084, 234827920, 474867620, 671238214, 197911, 412789466, 696299030, 25156169, 5447143, 338731591, 375390139, 572545564, 531580307, 565093887, 13761282, 435334146, 740078367, 389715368, 48541695, 215571355, 232322593, 912349142, 738517144, 20543258, 350230235, 940844497, 590219154, 643439487, 283346058, 134440434, 187530867, 304132303, 83662444, 524145582, 46268430, 159062440, 612951754, 141582956, 679559249, 73689098, 591757601, 301987971, 902239766, 140096873, 252017356, 238842671, 591800410, 666839758, 685467358, 819632954, 601592692, 771167431, 801001765, 81897725, 605424387, 329617460, 889143001, 881111552, 30064110, 456793820, 975392461, 353001409, 943116148, 701230963, 616407467, 766380498, 587154729, 247113623, 974584233, 687190427, 153600806, 781655452, 130971586, 619225130, 652031049, 661761192, 948795414, 845199039, 138911245, 210930409, 738604077, 717543997, 413226667, 945613147, 350837174, 934072425, 529397044, 647500284, 795419666, 274203168, 62495707, 312906335, 658415691, 77768248, 492147859, 250716728, 120160654, 621979850, 360882249, 93476096, 840623839, 811641377, 708480933, 666252336, 102283979, 87812208, 114231555, 540257313, 744171945, 490065820, 625620072, 506716954, 737994685, 357937987, 99869724, 147026068, 336962923, 236456743, 311607542, 560489322, 991508028, 605716349, 140990420, 407378104, 213312586, 82656624, 189463739, 5731979, 140102324, 431902365, 56614957, 294599981, 541502951, 861632250, 311081915, 645273935, 171886367, 690181795, 784649683, 375851590, 252304302, 380304859, 52447602, 73667891, 527609408, 210950139, 791384022, 39393756, 230190173, 769165344, 782191266, 642448806, 833549710, 782531703, 374289096, 83343495, 93592022, 916492590, 42710083, 816936587, 786913724, 197468671, 963577124, 106089943, 769446930, 348920124, 689418796, 364687425, 891842141, 670056239, 255704990, 465712365, 510954833, 317912881, 588164607, 241239926, 256228942, 363091051, 117349979, 106589229, 959879510, 607175617, 750871820, 681895565, 351550441, 987146293, 887609297, 282501485, 898892874, 185450283, 99697056, 30294797, 136598652, 537047867, 550878310, 339901619, 477460868, 10729790, 394685146, 726108357, 943532504, 929009556, 502679933, 869592965, 637974769, 548674695, 719924496, 613167090, 818916069, 245273461, 283623624, 248072197, 656662180, 745586841, 584706763, 731716309, 313320833, 913739400, 487475296, 227995422, 79156108, 652069794, 3172073, 965758713, 919633694, 751077945, 580449469, 241945912, 637564013, 760725186, 563302955, 109183201, 298445679, 713480683, 950042190, 361688964, 297481825, 250583620, 937041551, 624869484, 758598598, 697399595, 1385588, 805460725, 306196234, 419954557, 36557777, 329026922, 40467033, 176964037, 802663755, 15296884, 957896499, 400714248, 216206125, 249878971, 131677032, 72987513, 347455256, 213311662, 30308431, 680771237, 916173334, 53781588, 547932843, 22262943, 263644108, 96670307, 704320194, 163942363, 858654998, 334621594, 918062814, 84251369, 9369413, 19273284, 871556009, 459587124, 263391412, 767864360, 631134034, 73069113, 325136605, 346837401, 762601072, 660648328, 352643281, 750457680, 292033786, 881931661, 753504161, 214175086, 91052730, 886076345, 577362205, 842149426, 637563289, 325997338, 671741851, 170342510, 544542286, 501442092, 152441070, 79428150, 688922994, 716888822, 420040656, 88715784, 842525203, 871990951, 444240926, 682670752, 846093540, 545950739, 412683135, 439541776, 4851908, 950600058, 530207868, 419036588, 36653749, 463591779, 973671187, 921624113, 932912577, 682160478, 851171297, 201861393, 129660461, 38339418, 243967220, 691480732, 890461712, 977903067, 827782698, 357429804, 805718637, 797892456, 332052539, 497155475, 234195235, 340986004, 897086314, 452570302, 215617717, 112285923, 387152042, 668376141, 538434571, 87634957, 171973752, 338488519, 370531032, 429781396, 618623738, 535377288, 244843111, 521919083, 7447394, 334514969, 108824143, 783054035, 245777708, 667372913, 638285106, 252530952, 654646527, 663984502, 857205351, 859467863, 23886735, 165600923, 83920770, 406716563, 711878910, 827448676, 444580221, 324111205, 880239244, 450807840, 277737905, 20893920, 151189533, 531804197, 577840878, 256734677, 342342598, 401725842, 856615115, 654923124, 360324440, 282541394, 664205132, 144335924, 671953863, 316879067, 200159232, 762154536, 519388119, 682213778, 205002054, 97677542, 16796509, 698215181, 77195979, 470190262, 815499275, 313843106, 205668302, 845658570, 723443721, 945832678, 727296173, 371513148, 461334404, 717004840, 100029103, 624152712, 455890673, 897060547, 442157290, 803068423, 109227984, 689108929, 477705957, 400582127, 889817038, 999680862, 874201937, 516920021, 358554849, 575406928, 661804907, 992723925, 392211939, 155268499, 531363776, 331863300, 643297813, 260233764, 232070007, 255729173, 622813264, 352834344, 370242479, 643642, 643660040, 814818480, 996425396, 403995234, 857454812, 46666344, 19524452, 805948940, 952132022, 311048956, 526071714, 770815862, 695587213, 449125589, 787475708, 734082522, 455641403, 625139490, 735204605, 220539184, 130074045, 805806644, 429483844, 499516371, 842408312, 499637766, 856063092, 323933094, 40487406, 773610069, 860899059, 230175531, 549526691, 257940658, 756051940, 621160632, 217437664, 13775178, 862088391, 160700990, 928036891, 501778234, 173606308, 112484109, 584967916, 575138216, 776935528, 425751986, 143279317, 427359312, 577342251, 324032283, 35482446, 848424975, 522258889, 525009391, 741428874, 552132499, 437335882, 253389060, 237601148, 97590597, 500823408, 151714685, 487768801, 408489080, 331860861, 995435458, 249887106, 492665635, 609098539, 388666959, 493833014, 406459155, 403207474, 735913372, 217891377, 137371754, 529956695, 23004729, 902311705, 89196574, 60599627, 373542083, 427288343, 148549200, 210212732, 472007085, 712452021, 972060779, 627571000, 591984325, 551780067, 34464828, 991232620, 366971725, 622709300, 668622028, 500625283, 384917104, 394013513, 920899262, 440731629, 217838160, 871869566, 185156805, 541026408, 867420795, 6620250, 711649462, 742522548, 646115660, 539204740, 573538416, 924798055, 994665597, 414773757, 572111570, 154909645, 413314785, 329315869, 591865914, 254116729, 56676250, 628665844, 107387630, 778249699, 542685621, 516878647, 484105992, 998041013, 192711184, 99460992, 557352849, 494861291, 336966251, 584300089, 946080491, 359877482, 972906416, 768483523, 74293108, 709894029, 660015618, 514256810, 134588350, 674146954, 298526818, 122889682, 851486380, 436397841, 41537415, 721956612, 685157069, 971467668, 923922426, 857365148, 159527789, 735423586, 309475237, 283276752, 361449606, 923872419, 804072893, 12703812, 917624553, 258859398, 417007768, 515926605, 426611673, 293191967, 116757510, 372424866, 356599821, 87802494, 723876547, 853946071, 698048166, 407514682, 381346139, 370148448, 208860644, 661972270, 7631392, 255375050, 627543215, 639909695, 953910083, 723914217, 671932709, 137095411, 258020750, 117282674, 956834540, 458802237, 256413569, 34218426, 887315476, 84579637, 443096283, 133835676, 407074992, 294381781, 978005474, 683160004, 956086699, 388277870, 670806584, 725666613, 510941979, 123288378, 106437580, 187898241, 535899836, 63837225, 238681181, 488358639, 837266185, 473745047, 566331135, 227938069, 159446756, 624867784, 778505295, 271745746, 843044456, 434901823, 779570320, 861385738, 484933786, 426269642, 342902819, 362223435, 578998592, 409247285, 737617979, 97927684, 859137900, 712375937, 509775710, 935219591, 270807157, 223523183, 128541079, 145995033, 128679164, 343098737, 810411899, 226760522, 272469946, 670666023, 337984609, 171962628, 443043876, 596234885, 167380992, 791325717, 357548777, 245978250, 432603290, 645531952, 893757789, 206829590, 785225367, 848089920, 666000362, 548118134, 735182591, 691479391, 756163493, 214493644, 281639567, 799388086, 742784703, 861699740, 923527420, 370382526, 626243493, 499012837, 842969844, 945654928, 803306724, 970146945, 180473430, 525461115, 867098302, 814334512, 17950786, 531283545, 586952674, 457828710, 6303463, 179573409, 119180585, 133545076, 882779623, 876922109, 939992692, 76367727, 46392593, 136748952, 437952891, 803326925, 724603842, 408884911, 629181773, 735422731, 775936934, 511686925, 339432922, 71980793, 92337480, 936459234, 172596610, 331125628, 846052132, 971661733, 222513475, 874646556, 733211487, 493533347, 916661983, 6234298, 426953771, 930437366, 310069624, 572772580, 468658316, 831326858, 17807353, 268832964, 800766245, 797680061, 451947165, 629552296, 484098778, 682233184, 783032231, 522497756, 333201045, 430030824, 869674954, 934405129, 353695631, 408523480, 42120626, 850286753, 635120488, 173418809, 55090537, 221966138, 53640771, 594729034, 690454273, 720902570, 613905479, 911155794, 499125460, 830506043, 717559942, 857982224, 177852420, 752002100, 672092476, 111452721, 750504363, 625813062, 134135546, 486770612, 487178704, 172857836, 228962956, 510382936, 28869933, 135047273, 123603613, 618821730, 836614346, 562284171, 669390851, 258429715, 111618682, 907647146, 55868476, 692294543, 266144336, 805531912, 823281732, 178395080, 947546472, 719310330, 882464072, 423253260, 489904736, 747775470, 308013537, 18067916, 804613582, 657161369, 476710557, 972721949, 166791831, 77788604, 910287421, 73806271, 904825609, 65726586, 833275190, 314070097, 776612819, 673105969, 128028511, 141038747, 502908002, 216261632, 437761987, 281613477, 240661756, 629547358, 310382054, 813395932, 25106105, 459484006, 772017673, 819185806, 799343864, 290217771, 530642280, 446170254, 86880299, 494090809, 5529173, 59037265, 722181576, 474054662, 890388297, 187603474, 708631987, 296634762, 323732703, 441510474, 531925395, 413667481, 8130239, 82949621, 122254017, 505703677, 173826147, 652211269, 224882654, 744691815, 111489527, 393158505, 312587464, 308556464, 730094442, 204851902, 436127127, 645218235, 808751948, 873664179, 57399696, 339589318, 74862241, 517766174, 717226417, 518470300, 418418262, 184289171, 947307320, 291737747, 319095893, 759875535, 765951477, 908772535, 501345951, 90518298, 451696862, 434509180, 109570056, 342134865, 578469742, 636132282, 24917896, 950996074, 222104618, 186442741, 602743056, 619172466, 389518718, 134794099, 519401811, 569068839, 504226539, 827578595, 122380983, 906308778, 187114948, 668064372, 683272235, 31323124, 19054753, 973413119, 140659418, 371591845, 85452784, 635741625, 820566074, 522855192, 373678247, 299441975, 760643921, 292545509, 421738045, 634784980, 967750348, 526220142, 785495639, 483508149, 912652588, 67214985, 310952145, 248780061, 161554277, 311733629, 733489223, 307554410, 227423316, 416116587, 410475564, 288850260, 733833234, 451493567, 990627054, 500407468, 678537361, 255554749, 715888460, 252194861, 909408253, 860631398, 64874418, 878022956, 724825210, 954738995, 439348997, 831597143, 454922377, 212654997, 759570, 723311351, 131197009, 664606273, 895365655, 157510762, 775378642, 114524747, 370252969, 569455678, 517036829, 885017461, 866212222, 717798387, 479731361, 92276538, 741333894, 995355301, 451379494, 882088419, 705279707, 217021834, 116753174, 469282918, 294399813, 48194704, 15307114, 555296817, 149986660, 988378941, 326012774, 987107498, 154821470, 897937775, 360215862, 523867796, 515805536, 992915995, 504190684, 278883547, 267133893, 611220371, 626162839, 289214463, 207263544, 21921778, 920850022, 454415038, 109756135, 699877872, 697116451, 401911980, 777032384, 985452430, 382089998, 138462226, 989307716, 286610409, 701863534, 272441664, 474857990, 903139143, 667779314, 71136163, 816509900, 775846007, 677444449, 325479799, 338661137, 781499098, 872121463, 892227029, 130849340, 903290512, 551229024, 835050421, 925955070, 162960301, 705799242, 758872074, 489660366, 480135656, 538751334, 521528696, 396996424, 839910942, 963233502, 324738329, 559067898, 655057954, 812265702, 53950299, 599022071, 726775209, 739666441, 385263780, 875426269, 349448739, 292939654, 740813083, 763017916, 966610396, 235396534, 345953253, 21122814, 152347089, 281145934, 451233673, 915769204, 222249966, 663202679, 767985340, 171098894, 883058722, 880418520, 733343915, 288507051, 853643356, 125523625, 525155198, 597991, 303719826, 740239895, 284708958, 992343595, 91881470, 298016169, 350384620, 359213832, 697549611, 944174670, 552275067, 810661269, 882244626, 614146217, 464310826, 261819603, 411901237, 381011098, 700256932, 39975463, 725630177, 771044779, 472725591, 48442435, 739904486, 434255617, 26881058, 727070626, 989782361, 959544863, 841092477, 783693910, 846552889, 4971498, 649132079, 912347877, 421656595, 865071251, 302100273, 379708133, 602958695, 915263198, 930383775, 216864065, 93430322, 69430195, 356915364, 850018899, 240905838, 314408532, 131906928, 702117465, 88415019, 701965936, 336837718, 210940720, 701964121, 695379034, 991094537, 562792449, 27322845, 962950752, 272287919, 897985566, 432304440, 576567349, 905712256, 431716057, 387607587, 691748730, 707612389, 508209647, 38044283, 233804943, 7626539, 336354874, 753389637, 806882826, 115198018, 898017994, 405643696, 680486528, 618520395, 277887238, 626974844, 312116083, 853862213, 818073820, 774711033, 464849194, 964438463, 40501391, 537224568, 6022963, 900721565, 216681209, 745418864, 522296151, 785134800, 983221473, 944163245, 838108835, 217688309, 731234913, 96702736, 119771112, 95717056, 295197810, 344753144, 259736236, 560061377, 774148425, 989732269, 195570326, 321622502, 693526359, 321102851, 54817321, 754864168, 538599992, 320395341, 632494815, 383976558, 455957246, 621703228, 209621412, 452001247, 410792984, 771858854, 825721751, 7906944, 197009266, 777964645, 542078297, 663280456, 577087983, 642068517, 559654110, 486229459, 788516331, 497690196, 254306652, 645524793, 645894391, 662575747, 656472683, 21752048, 661880902, 861346874, 442194253, 906291022, 244766293, 712383311, 939911139, 938221742, 522341582, 340443487, 884121741, 222124929, 594794702, 699422441, 620599897, 946520662, 403085482, 919405131, 990824065, 967217835, 950773349, 127642454, 622330563, 89626190, 729536034, 694830010, 353261694, 956002349, 195367552, 572798073, 741149140, 726082262, 729994675, 313532900, 246802923, 737618489, 746522255, 493381615, 812640286, 815385220, 422902891, 44470188, 140303431, 517009008, 830664058, 87393405, 121940457, 80538188, 239846785, 39284265, 359250248, 359317437, 533759100, 667837736, 820122622, 333959643, 997504658, 901740026, 571006131, 145853815, 176517262, 420160662, 29299797, 729392233, 161524156, 597633823, 239435335, 597868529, 460542119, 361117790, 319155827, 121360617, 536868982, 462210240, 429589411, 78449619, 113035797, 99602065, 19138309, 209802369, 195102206, 268023867, 201721637, 777522735, 407015514, 164074996, 724955725, 618351933, 914455767, 538314180, 691917778, 258874392, 399758611, 241304507, 187200022, 310795325, 190987541, 81126699, 572935573, 131085516, 319180750, 56379446, 873339119, 172205536, 219619010, 104801832, 632696598, 818793892, 521927635, 610924859, 563932571, 106914467, 47369864, 51392109, 286628834, 415527984, 474546165, 404538676, 719722748, 680183541, 107451518, 910764238, 356293529, 211900596, 683936545, 436701331, 700305542, 721765147, 956127743, 962090723, 400095954, 473305511, 730976536, 579156990, 548245596, 319729880, 22006638, 631146282, 534409814, 518966614, 707692314, 162463571, 461586460, 638667896, 534769546, 483942380, 391779352, 542697086, 670333620, 54276904, 684068150, 982538689, 832691929, 938043726, 986811857, 76932318, 404429816, 243678551, 834215626, 154186605, 854971665, 672247517, 793173783, 873179570, 490534907, 494871306, 490491941, 824664384, 68612686, 856603846, 663752611, 603851212, 142143587, 647084914, 820937700, 393535803, 563712680, 751352907, 866554800, 746512419, 818642943, 746130168, 147131514, 720611436, 895140563, 701608295, 761698125, 419364201, 38622472, 635250190, 812079944, 528170346, 796742183, 629000690, 840930530, 990755987, 225717945, 6096473, 107166464, 587159469, 940452748, 683502454, 284718220, 638888120, 986823629, 424621738, 286002502, 923886755, 837601440, 436479720, 883321931, 212400077, 84343811, 594433398, 232602972, 411706845, 58239013, 960124222, 715270869, 337439664, 851855818, 146467174, 733838816, 86933039, 857499178, 94926064, 421682230, 633202201, 586448668, 270788634, 885799901, 267143807, 284771917, 623054728, 819852752, 322668552, 472630841, 126023343, 733512885, 57006572, 472185220, 848916436, 586372736, 140586999, 100798050, 727668954, 304781355, 18286096, 83688457, 855581148, 276643748, 555591199, 75193990, 220356710, 484516442, 487322364, 232321239, 314409304, 424888664, 444855104, 718014097, 295878006, 507162235, 145459265, 108303652, 492402948, 831914635, 110040502, 325976105, 285040187, 861443256, 186388050, 794170164, 735769834, 853375164, 899352049, 184897007, 51207762, 389041049, 668719878, 491722806, 672050722, 225539449, 48370819, 778965215, 761196731, 564448201, 287102539, 991518446, 555709102, 238514273, 126468640, 346637080, 640342, 876255496, 227778411, 887086122, 951642312, 658383965, 387567857, 701017358, 96133025, 526442193, 39363286, 654843532, 932019066, 52791620, 289899806, 132492939, 378474892, 853108611, 10536789, 887354348, 100392780, 29172133, 964463816, 941380131, 372593929, 328685842, 514932337, 239580185, 582771077, 188679585, 244314258, 883214, 882029049, 136229142, 440181293, 659684598, 345207451, 209837013, 165831311, 367539369, 510946714, 97264874, 84792435, 489421617, 947876694, 345981841, 814750774, 498751363, 509812584, 176056844, 199384022, 377438809, 71734298, 458550537, 162216822, 846234563, 32083519, 561540687, 271450347, 573760913, 23054491, 486551866, 708176113, 545054940, 730303868, 946752911, 898097592, 801980503, 193803535, 738062025, 132249392, 845013165, 89245132, 836561109, 836684708, 87722634, 823059794, 376055479, 436437778, 950371137, 479754188, 440570680, 368434694, 355851500, 417129157, 333004439, 875606246, 128827282, 905861252, 749464542, 976692161, 856737283, 224337812, 321595139, 971014074, 388952801, 537116131, 650509354, 282507516, 775063621, 211766803, 677911548, 924028240, 205277205, 889867325, 857192005, 96214936, 639575729, 177223155, 860484440, 645789872, 588959811, 465008050, 649468058, 12783376, 49565888, 377503550, 704130162, 752625437, 36333350, 134600366, 647579316, 827565862, 788096689, 495749788, 790383012, 66298270, 80186741, 701730185, 476827737, 344290233, 423828995, 734071423, 747509500, 968434707, 229471079, 866633212, 755426237, 396775694, 762479393, 924205838, 893388905, 374315730, 937381609, 946789913, 22422793, 598209905, 441381147, 100508387, 420209568, 493380103, 538598814, 410706676, 857254058, 823212159, 281271258, 124595404, 794941896, 225709888, 133894881, 202094706, 779551548, 36687403, 343002359, 202938297, 47845821, 439497238, 113534549, 993836179, 381605869, 38287682, 638144034, 384961915, 625952374, 895803110, 939552350, 931989380, 594756238, 86896043, 4476371, 200620444, 273381922, 515198858, 967516245, 344172438, 669670402, 593484157, 938208898, 660610991, 183374408, 999869451, 838880333, 114368650, 438722497, 169685040, 398284527, 296928632, 266426420, 712039823, 570349110, 805392418, 953868370, 834566154, 93927377, 18654787, 931358769, 608415607, 893858812, 875978175, 987823105, 622060480, 387840395, 444764206, 840340618, 821888958, 948029829, 764348226, 856915849, 660607827, 711365348, 249888296, 459931212, 631587405, 887995022, 262605203, 126390792, 378891836, 718555690, 11387043, 524791519, 912584618, 986664869, 855133424, 986137719, 814660128, 712348464, 773543533, 199784558, 453624286, 823724949, 654197057, 575805209, 22465468, 560351200, 934205288, 902646505, 598710569, 102963922, 108726978, 133179127, 731774159, 30999031, 14608324, 217960601, 567814349, 86840009, 410544741, 556072815, 726372795, 740142077, 768395414, 485795606, 662145899, 566973373, 324023470, 984424679, 571551177, 754189879, 509539432, 370381635, 12221226, 342618407, 588241548, 128470319, 787298456, 142142554, 771519326, 531906079, 606219804, 699919029, 790896276, 163628536, 131916199, 131582796, 551725110, 162756141, 323012598, 710406341, 831649752, 824110803, 200001609, 473065974, 118626445, 715344412, 395919787, 554460369, 556583161, 236370746, 173144909, 643915931, 24822291, 558466471, 129206596, 859204679, 886078021, 904196308, 848492402, 765262631, 399193745, 779369707, 899540028, 107366087, 896288149, 989716692, 458470929, 591824917, 171639004, 816235581, 410501137, 10328734, 258508522, 258928093, 987835603, 82622933, 37251170, 710768498, 327060689, 604132067, 744821382, 182543560, 701211587, 784440865, 872099873, 728661974, 756055088, 895123637, 583502856, 154135621, 375846676, 929700577, 195312775, 836243218, 893402969, 499316964, 384331403, 91739242, 230511450, 234908546, 951194191, 685463719, 672369015, 8591732, 421606504, 994164273, 231642760, 739183363, 291333220, 649452581, 325278615, 299816826, 298496222, 331240338, 716064635, 800157801, 924900761, 100002861, 850824126, 251274881, 810573405, 772944834, 387314549, 197129060, 291398181, 437283361, 426709266, 126872501, 256070220, 413878008, 794100285, 541979393, 562577971, 804554804, 858904420, 263995678, 440219778, 840227854, 857836140, 801441747, 330010659, 267679411, 196602178, 914064380, 648797638, 83691150, 973221213, 525930113, 710788644, 588904712, 454568806, 367880697, 734278103, 235244665, 881516791, 63308297, 328311799, 712099517, 640484167, 407757637, 423576467, 198213428, 657369589, 157008730, 694462989, 38016203, 664283743, 566265230, 957552147, 585469781, 878729925, 123283897, 371401540, 353589668, 783681170, 663104433, 380214533, 685206697, 273440283, 594320771, 85957129, 96311794, 875836702, 204154993, 666386391, 715472589, 913017246, 973484183, 574241592, 528617626, 463226868, 588065289, 600858743, 342557678, 396484004, 639677541, 915983874, 396242834, 802236180, 662100045, 994717362, 829359929, 82624681, 359278287, 980231182, 603373215, 782935958, 239455058, 687375205, 345703364, 35271873, 326827742, 542691403, 303286372, 923124583, 232711794, 861915624, 782685470, 443231754, 616253683, 40615286, 382408637, 775481427, 279593697, 334618563, 853367860, 950103033, 863858747, 670946915, 734062146, 990444469, 421594302, 529840467, 401180143, 695600764, 544860842, 614790974, 765564258, 483726591, 842737082, 577368052, 392709369, 204395246, 549502105, 305667103, 158963730, 893378081, 58789146, 310625959, 499555778, 93587, 574765447, 671214934, 510997651, 267576315, 16363114, 353452381, 318290623, 935422310, 990033076, 367697743, 206472232, 765782274, 174010513, 403849897, 85032655, 631339718, 315373280, 710924405, 640007919, 813317471, 669341530, 135270586, 27307807, 409610407, 886372765, 244880853, 635611423, 332734445, 121579684, 398985077, 814386065, 850271684, 983882324, 3113426, 748030310, 324921381, 122959497, 280005488, 425363359, 29459623, 111319179, 10207115, 558634318, 683913364, 841138938, 632234357, 249857093, 923951877, 362530454, 13774722, 699741895, 272465161, 973591919, 759784245, 75535176, 477486088, 582484229, 817467152, 564487475, 622520423, 603779404, 771109959, 27467153, 636290716, 823043340, 875427909, 418298615, 723236483, 72724371, 81905821, 793670717, 80101737, 503839691, 620046967, 508915286, 930557011, 723991493, 748542756, 393109702, 167755067, 428292515, 969108653, 464656327, 162961498, 303433350, 75208470, 407453106, 853502034, 875066993, 296100677, 777780093, 437372145, 924434051, 496902231, 102145325, 745480032, 553119587, 409946069, 348286530, 945847267, 541433023, 555134290, 249295696, 354599092, 148276785, 427132965, 747835349, 169595789, 961791109, 849728251, 668601919, 297300702, 506122006, 377228176, 901899043, 736088603, 687100763, 797502091, 63248853, 95293009, 248019177, 56897017, 32918564, 658306706, 321266059, 982220756, 332594198, 232946594, 464214519, 850548580, 642831215, 488088741, 973109032, 333728429, 86837813, 204155692, 99035314, 289403700, 617798760, 867292180, 401633552, 10632021, 395255280, 706904397, 445627590, 221611275, 732963760, 692262107, 685086818, 534556438, 415244651, 911783420, 990334226, 322811485, 781278460, 847438890, 500173071, 958723401, 819251475, 560830353, 112270609, 252806452, 186938096, 584463321, 276773482, 134538236, 17648178, 439351309, 147192221, 216621940, 936112052, 278339961, 32947708, 39039732, 278324860, 271558070, 754528190, 517773187, 792034230, 957275304, 24327563, 804601988, 983883678, 851433097, 536650674, 170055632, 389731590, 890049220, 744001240, 211412551, 948400959, 705431614, 564351180, 283841338, 775637162, 316498145, 140443180, 626558016, 700063619, 528065930, 765119219, 34570267, 36300001, 804044889, 418247823, 800837613, 632648533, 881901307, 102088175, 439124161, 216603347, 213459302, 22418429, 293020113, 772818769, 632749761, 12919466, 613498789, 962722463, 34761328, 261989538, 914102928, 963111010, 976672026, 968699190, 412451737, 342100374, 774461202, 405722125, 820147651, 923945413, 878990251, 840979183, 101722750, 401255939, 264072912, 94987716, 289778809, 668898693, 116779991, 907669464, 428226916, 244306465, 135796586, 322135415, 771292865, 475976687, 474146964, 178565543, 915054248, 88479425, 196138115, 645579002, 426508394, 311937265, 1633321, 548012166, 938555654, 143060254, 558332504, 65239750, 106784502, 360948834, 759828407, 816675686, 243295912, 885847243, 384693362, 879762178, 918540178, 98439086, 493871618, 723796105, 567832412, 141891609, 712901035, 579161618, 378623324, 677622264, 458535377, 367843870, 613453594, 364666621, 508929549, 190109504, 103126716, 406873840, 710221469, 569007468, 632388642, 415583820, 512922108, 337560010, 238585124, 481503504, 197800144, 949547444, 438926075, 181903280, 352515548, 987197422, 741903900, 723255722, 2877815, 528549205, 253181555, 957453774, 976059202, 676526638, 99427773, 730067617, 826489985, 419985441, 993960862, 889003320, 143687818, 130326880, 860958948, 9531557, 72293840, 689443177, 650946846, 361514173, 329036014, 917344491, 985959228, 352715460, 796313073, 821889896, 308955665, 464672140, 209084846, 241899601, 998539171, 98412887, 251424471, 468111615, 320010255, 609068161, 494015543, 137704139, 193417614, 875643299, 439235546, 321759095, 651253897, 29895155, 33827110, 202891541, 175584663, 843457348, 823919403, 621105621, 708796051, 73063292, 647111168, 752337850, 764854109, 232573403, 956840575, 197859504, 687414367, 262838322, 255739363, 543681389, 848006483, 716450898, 267196919, 921445195, 849639244, 908285621, 670001007, 380988952, 231364478, 293366893, 213770150, 126724603, 333464015, 945020444, 3096392, 765322298, 437165816, 982022454, 398670322, 260441940, 62744703, 13844313, 302556302, 902227738, 597992339, 692820955, 828503622, 24136669, 437260131, 165061996, 27821333, 611061557, 115770802, 807628609, 147138930, 966818012, 363401728, 989362491, 141653290, 756624585, 405880717, 787045487, 130113089, 247018620, 816505780, 737978909, 138336556, 19717666, 851511778, 160656185, 743001292, 673580770, 832978922, 11679580, 841551469, 73567220, 264905736, 410986849, 46768355, 642265346, 513821785, 303874330, 900319389, 956699296, 413136022, 366058272, 346302727, 600987145, 50896235, 82482047, 612744378, 823383903, 535600152, 714443084, 616206374, 82818359, 538416320, 61124843, 41823917, 208399872, 356909220, 129307256, 620653895, 923422236, 944595885, 341513983, 311645837, 815635289, 870990779, 700688754, 647033435, 570441673, 663758090, 665375270, 360631941, 645749245, 915737500, 470170472, 644878331, 132805531, 38635541, 964505155, 637535879, 871247824, 766945008, 643863409, 808325863, 227118845, 932255828, 943329173, 567995345, 481130098, 559543763, 363635008, 290771177, 385652410, 756996880, 25810468, 179334639, 74200409, 910058875, 588965933, 199050458, 670859976, 106777387, 258540389, 849411233, 902123762, 322943576, 954663564, 678372921, 387818349, 24530465, 134111767, 827319103, 401353590, 121266292, 858090697, 235170497, 843634116, 372269721, 141622814, 142626893, 553812724, 711642722, 676524264, 982213974, 652356647, 429837371, 952839867, 898578837, 773589495, 485405977, 307833730, 830424506, 416437242, 324420751, 648010923, 97165472, 727812363, 635612863, 223724830, 928122200, 437044460, 19049119, 624502997, 220946006, 679294013, 759692275, 189451026, 829035054, 188725819, 389567777, 61574997, 456002731, 773435353, 240449927, 972808418, 440971660, 767437680, 112245054, 864677117, 760122107, 656037047, 203076124, 550222476, 8715494, 712745129, 126585446, 361142130, 781688257, 729539971, 868681643, 86902866, 886040633, 91528540, 493082944, 691102501, 524577136, 204392477, 433056474, 74459052, 794147767, 613278827, 69520917, 935990524, 956540907, 956950731, 961084876, 142346982, 868203937, 39915912, 866668509, 302501964, 550108044, 417345932, 835547681, 10574508, 286723556, 118226749, 213298184, 459442082, 493577317, 183184897, 13183631, 749965073, 16082113, 704078635, 297181893, 379138617, 207359536, 826645876, 160821168, 206549932, 213413447, 762206029, 794330097, 805900423, 791875535, 851788657, 473369390, 5019590, 766933340, 592408319, 503886946, 273695337, 130022626, 234453069, 581380037, 785596724, 461851245, 941518314, 146726985, 764940696, 721439023, 596489130, 825889273, 305366197, 241803410, 416147553, 953247016, 711594447, 449543843, 798036064, 192023192, 161693853, 431053120, 144989949, 232887852, 93338230, 928517143, 227351087, 871685720, 875674283, 957396949, 768920881, 873353714, 260103103, 589874921, 413934249, 175884174, 148648425, 249357998, 883112264, 402875393, 199454803, 894615630, 729249012, 926116502, 309860028, 532011155, 583013444, 586875001, 204813871, 301522698, 732717169, 993064903, 759209899, 479643634, 631481496, 234715512, 180084174, 608959402, 124290661, 730828788, 971644280, 868303749, 494584497, 899957718, 832301033, 224459849, 599465199, 474852188, 772018238, 708442134, 311090502, 249904010, 915425304, 702722924, 703392253, 766122909, 671059791, 733426629, 603952706, 536633193, 234839651, 572606725, 265366205, 89410873, 891504482, 177470507, 420368832, 830226339, 43701758, 10436046, 741302837, 660793760, 711123687, 866107266, 466192773, 696571436, 383649299, 253162522, 846658159, 61824447, 678542978, 774230302, 369452187, 106245723, 235179563, 899912525, 657775133, 494999314, 250197993, 8780966, 473470138, 832921224, 664701193, 256885685, 597427809, 434829006, 952107675, 619632964, 614730157, 21508788, 222286935, 669595047, 22492463, 33480479, 140641744, 162815769, 418484294, 540957252, 113067229, 771625998, 247335022, 618158390, 565959167, 566093190, 962413993, 438517582, 88101480, 94805432, 177350721, 789018538, 869721448, 636065980, 76491972, 526307758, 100116781, 564268252, 925456733, 206926031, 40117869, 567721441, 284129189, 595575218, 443113646, 331726952, 718368293, 626802014, 124245225, 438574704, 719213003, 186849335, 539673806, 843446924, 735758066, 682278629, 137731194, 377169539, 609136298, 793100953, 981360811, 666133274, 30994236, 28842307, 207178577, 596341800, 819841326, 9488778, 245407971, 657787493, 227895910, 945607323, 532889052, 294940995, 774757815, 552725875, 281147851, 8220609, 714020570, 827675104, 200957306, 70800236, 615154244, 214123452, 413607831, 435556643, 918856749, 590391206, 884421150, 935271868, 805484798, 759989465, 351776455, 396635311, 315833226, 75761736, 233800131, 882040674, 595215391, 340483382, 94784085, 119781751, 982980471, 342494288, 471055246, 659487834, 159911711, 997905463, 118342457, 566877198, 813572085, 972898879, 101564965, 855611308, 811558467, 191082073, 698938287, 469590044, 237550595, 425138348, 857880945, 328845580, 709700434, 885793286, 776214353, 884264611, 581974400, 845060807, 648611268, 228545752, 384310795, 51851221, 601950025, 233179272, 13972242, 380141707, 6161991, 729817051, 468968682, 262923971, 344768907, 808731440, 312272615, 791053049, 928026969, 270430627, 613410777, 297116191, 934872535, 614359616, 351748332, 34841598, 204096049, 248818011, 483627223, 686981747, 64851789, 30355940, 107340628, 713492991, 475945043, 943762379, 51470488, 274617816, 918434326, 967539906, 9960391, 647096709, 870671695, 284036824, 195256249, 802360310, 758747265, 84409471, 472091497, 845021082, 746556848, 494710543, 3183234, 337465251, 145568610, 130817388, 386011207, 502690292, 323753213, 317727037, 759213248, 221248475, 495444814, 973506433, 617391151, 53292746, 381593192, 385035739, 138361640, 939912136, 362747712, 319290219, 51632964, 351333241, 99398118, 64384543, 636796185, 825476017, 611703624, 329523055, 888972273, 142454668, 873213030, 564501373, 238274389, 886622760, 991038296, 471327572, 288673186, 164481026, 294313334, 174631922, 958015244, 727784516, 355093404, 222039741, 676260336, 361087302, 560050763, 902797717, 306106009, 699868183, 169561723, 800517245, 152145578, 284015561, 532140528, 972681274, 369044568, 486320429, 820085736, 868329339, 708301963, 340712138, 853232939, 154792383, 355141670, 205267283, 98767705, 166824770, 794836594, 784388300, 317787271, 449795530, 606270852, 676811270, 355100151, 675298964, 319932367, 3979637, 5703240, 52575838, 915175672, 514124531, 996131467, 760613483, 721904279, 344509203, 437366028, 750455012, 281392524, 122965627, 626806845, 660931454, 566092012, 160922470, 749171113, 584572733, 706287283, 317791907, 938848431, 19507816, 970678483, 229685118, 338407941, 345991741, 575385466, 321273206, 316449194, 967226837, 977508451, 518490768, 182401862, 414633146, 103831885, 286116213, 773170122, 979220704, 11668335, 116695346, 86406546, 876782082, 199170765, 310740665, 278652891, 76505865, 293591316, 97037405, 549369903, 416482327, 261746564, 751983301, 756217620, 691186984, 481440632, 359117273, 529813237, 212074815, 691873855, 196125323, 620577542, 594993428, 85274947, 709315039, 104293799, 52975829, 510720081, 394840919, 676048279, 644848292, 554980997, 580477762, 551079875, 229456353, 201801700, 37075847, 220811838, 572215069, 328594004, 691211279, 405920547, 668397732, 418068789, 660843325, 493885415, 435894513, 969861602, 587040858, 562180335, 883320047, 692110642, 836093524, 118919332, 532099825, 123002159, 748456994, 729855077, 485600793, 85739305, 106760944, 91573169, 182478393, 853471073, 96057820, 501608503, 100481816, 343452486, 987012275, 238280583, 796046819, 6799607, 351452566, 588850020, 840476369, 759970958, 113986758, 495724605, 762562777, 425528197, 376366658, 484617777, 337729756, 191588987, 68687597, 331526091, 83320812, 532064120, 125128897, 3043667, 543082567, 79777788, 130927166, 739478821, 138865336, 806975536, 138621330, 251565828, 439436118, 414009063, 166433384, 817531892, 187550248, 176381894, 59816427, 357001767, 690897445, 822325898, 635222664, 905173951, 449696052, 649724479, 498201941, 935856279, 829801070, 852444469, 566146561, 738151313, 581790790, 942701190, 745594872, 277123073, 688072662, 157919513, 86501526, 596012613, 188910883, 981607915, 396530858, 439997751, 960403243, 933862785, 992635975, 761896074, 778733943, 733474824, 382298750, 779547377, 379295984, 45222728, 793316156, 292535745, 321434795, 488320652, 355626767, 474355426, 622093108, 311376144, 775566901, 178865806, 103696549, 175422751, 399490598, 445605495, 34196418, 625157259, 415083907, 28837441, 839136302, 409548241, 816889953, 78357668, 866365289, 177313005, 840005311, 669068786, 131498735, 889248577, 631128643, 161254128, 666088113, 430687171, 44348150, 209139038, 606488053, 821079442, 348540942, 601287885, 825768861, 954622027, 749958021, 810599834, 998722234, 273289056, 721569461, 238785754, 48413915, 107475657, 739072347, 724892904, 873510742, 329425141, 240430917, 109467417, 847802570, 892853386, 547102090, 710270224, 182221766, 146426304, 368294472, 716696792, 556514132, 668723337, 653381559, 199082178, 926413589, 319010140, 805878740, 210869267, 463671604, 408297125, 934721348, 445715380, 99894889, 737223699, 428463935, 817580614, 875224484, 787391965, 969059647, 718229330, 109746605, 660257825, 878037691, 389395330, 45796366, 358199037, 98054020, 928727027, 168280246, 485224229, 578390674, 142367908, 501718703, 9401630, 116796145, 988017857, 506112986, 306097244, 898470902, 166183458, 768999962, 780785138, 667013109, 814864737, 835818540, 290800018, 106037850, 264023459, 897463435, 628791911, 529694880, 899900375, 663695687, 865946883, 878915422, 485792710, 351826191, 134112359, 878348318, 114712065, 818018079, 968145016, 496178166, 80716071, 938720158, 566898123, 669847307, 230180053, 142757050, 137513344, 53226811, 20442883, 829789748, 449692049, 750068432, 794437590, 324386234, 549335550, 973990640, 783478128, 694706156, 116633977, 668337867, 688446952, 372835633, 226789162, 456869793, 97554850, 893773806, 108074825, 564164181, 178508470, 712227058, 125289244, 994867594, 233853414, 440232357, 84974815, 561533947, 607789403, 120987194, 417569521, 503285453, 10880317, 281345536, 597115486, 192385710, 772715416, 239442142, 164333731, 884807963, 231798682, 672967463, 484726372, 581769052, 586564323, 631756829, 731181998, 764950027, 402703700, 127354818, 470204690, 994846084, 373795026, 92264081, 415204840, 881411154, 977904798, 481984660, 207443873, 88290977, 950900051, 37947971, 69024573, 636782454, 447190373, 178239953, 888687147, 625570485, 585137573, 142329450, 492085560, 298271257, 673314500, 532097678, 260884868, 943687504, 972571729, 748274253, 955841533, 752010386, 544429464, 951772021, 830591353, 498656168, 23263853, 749516158, 12045170, 331089984, 741735061, 428948340, 551381557, 236630221, 793436138, 550313991, 390865276, 340011346, 527426032, 520400887, 468673327, 237000480, 589350680, 214860372, 643224437, 962536790, 488786949, 788388956, 892681727, 506745922, 295887576, 537555350, 132800561, 985322876, 103300972, 71648553, 128547205, 539866012, 70099799, 711579141, 967926941, 339440667, 132252943, 277252463, 148025442, 548108280, 527597617, 42535793, 31258977, 74174931, 109792965, 107037503, 716766791, 485517670, 181700269, 806438393, 746799478, 520764254, 709714724, 211850824, 177713895, 482991363, 694296077, 787738655, 123700616, 311729819, 411112065, 15942643, 201675635, 970738039, 711337880, 159155692, 469675751, 617766105, 147550165, 488578782, 791050391, 432330780, 653785286, 793329611, 531132643, 450496914, 184262969, 332792930, 614932472, 927624316, 124633374, 79527425, 366307659, 299062641, 171374488, 168867464, 379674944, 125155061, 871337818, 240632290, 411568611, 772350020, 750592963, 749319616, 565069890, 596873409, 709234155, 536815400, 558985742, 260377938, 905917260, 193420815, 481324761, 671076974, 517455601, 479289658, 679832852, 963631567, 273197068, 55830928, 632432352, 605895131, 491860438, 485900635, 71047027, 94863671, 264082297, 437028972, 690023867, 916013230, 821676173, 329464422, 559503790, 528307949, 652297852, 758649300, 892475988, 250633016, 285504607, 882110628, 233004761, 214534060, 452952689, 79111233, 381950439, 588641544, 106192636, 892693489, 187673437, 443086879, 758881662, 952773454, 143116686, 846111356, 107535103, 81951122, 223889091, 758998983, 107524525, 497835783, 665148257, 586925035, 878975863, 25850366, 542238778, 952968198, 158374301, 441648776, 337785661, 587089523, 715722050, 796055367, 673200157, 577523035, 611832712, 828975481, 544370092, 545311972, 312832843, 99207442, 602282474, 319879729, 185105916, 177803722, 67049533, 667025608, 809408656, 939976331, 518455271, 904809040, 909163777, 754612459, 160373983, 539181344, 533041126, 832019095, 66527236, 270873372, 683622179, 935625122, 163194853, 289804769, 853451379, 443493417, 542638589, 651252362, 357591241, 159474172, 268992840, 932903171, 705794561, 688001549, 872560209, 290064271, 759346987, 395715810, 321303829, 408703412, 375491319, 600004402, 438041658, 930961556, 828926676, 307982855, 31389777, 337768288, 430021507, 306973005, 693366376, 992207899, 378621963, 836187606, 475799336, 493993922, 433232920, 22991301, 300533101, 465858331, 201933340, 967501590, 936659398, 470005291, 208807234, 663018523, 57414643, 337586488, 431917752, 968501753, 338848254, 230060941, 633477826, 731050864, 132387064, 899959768, 40698516, 776948639, 946753446, 481936211, 728144770, 787422130, 761355720, 259879643, 216203065, 297467818, 661216357, 9655133, 576511025, 563770208, 73597746, 72061578, 315630154, 526733930, 51626417, 496126778, 308193238, 375929374, 760447962, 618653219, 291625441, 329460712, 416581795, 283158260, 870097790, 514614428, 224932116, 962915407, 520351052, 802241052, 966446930, 506214030, 568740636, 716772968, 609103386, 315944256, 164697534, 510395834, 559790206, 79989442, 273490094, 823052610, 534883143, 299458513, 671590556, 968846677, 114676221, 18224900, 409913146, 498825903, 458790035, 230632046, 444947940, 448589158, 992042937, 385322313, 514458127, 97460724, 826972663, 493855246, 578538532, 928061498, 470878808, 440010370, 449345759, 86259978, 964464308, 147277355, 265393078, 40406366, 305638218, 591248296, 997227358, 286771748, 947054646, 443565614, 235324071, 173721889, 729551250, 204423269, 66669347, 977033711, 622285499, 837919406, 88086789, 352159772, 568300910, 661170440, 36651071, 655134502, 623327034, 888665391, 784626895, 651357368, 968678727, 407214940, 157022181, 165376421, 913025949, 797301149, 96788561, 391087087, 396735878, 41689546, 869159650, 453496001, 994736828, 683524301, 849381502, 887063964, 204473051, 977315162, 88961882, 140919961, 256590503, 447965640, 877618327, 30416040, 229674134, 655303579, 85856250, 95005140, 797259698, 249004397, 996526674, 981191427, 731009986, 226998032, 781474124, 898544461, 866610105, 509269067, 124085398, 952045983, 228723176, 588460743, 439147458, 362229570, 709013580, 809855695, 472408892, 185470235, 281079096, 286488182, 295529166, 978547497, 791749480, 704593938, 674028004, 981580788, 303235994, 748995582, 711074575, 86345645, 965270414, 27547641, 25772171, 373472897, 805840741, 277527583, 11831327, 42422636, 701398740, 233588261, 978410427, 164554369, 47865131, 133721005, 510708059, 641925024, 983286568, 539046058, 116898544, 476540228, 559944945, 623606611, 772571542, 78061068, 15366223, 310867771, 347371920, 259695860, 733123941, 32837418, 718390603, 687709109, 841281211, 455890362, 611861241, 841107927, 453578772, 659766434, 388669125, 185685897, 64626587, 882921891, 773756403, 99666528, 145152957, 272017312, 135892933, 601794234, 585770717, 503642500, 960223625, 587203750, 990923919, 681436120, 260005417, 958800543, 754720914, 110348614, 134377837, 376655269, 565988530, 863806482, 78558818, 993357517, 831107832, 280071336, 185298647, 235394731, 204011378, 998289498, 576774641, 946994567, 150068109, 37367480, 282285753, 384493376, 854819010, 944788498, 32302095, 750254343, 791286211, 418755359, 931015041, 342352971, 742201610, 905783633, 420363469, 4991115, 193141038, 27068657, 702536853, 532720851, 142789709, 370713794, 376726309, 926545806, 817657569, 650447622, 684022549, 539800236, 58065255, 345477728, 776882193, 632758844, 715000683, 960942372, 55123402, 505846347, 699373791, 600721036, 463104561, 589187038, 234160992, 451992678, 119803436, 974478951, 204206283, 895776722, 563186693, 681980096, 69732416, 439164784, 688001799, 463271921, 346487707, 377423740, 866886242, 678851010, 862007248, 776044374, 461391060, 125142551, 140973022, 805430945, 525730892, 859475023, 897886216, 651472028, 825375084, 598665292, 853097580, 901562313, 410399347, 642075096, 543093635, 77245170, 192869528, 598924599, 415503235, 720661265, 412693013, 821335728, 839128974, 781163627, 789580782, 974985727, 354875135, 819232642, 893118187, 346619374, 461412383, 344289404, 586236567, 702821076, 473078953, 429846849, 762805954, 49893455, 224680395, 396513429, 510192132, 233235323, 501392058, 989858071, 435783512, 479448738, 62985713, 122126468, 620789000, 136833235, 903248636, 840195464, 32524504, 183103970, 275418129, 647205347, 602763646, 278900140, 761330644, 804103328, 992506708, 297551323, 793957928, 572349507, 410444914, 190728172, 937537627, 420999765, 225144539, 705163560, 465495258, 127354674, 237286619, 671360023, 627810056, 546532556, 58905212, 990738353, 242727664, 638373447, 606581181, 761591539, 294185303, 270869625, 90481830, 383262384, 655866576, 9335057, 380811675, 322038908, 393713075, 164293174, 789988898, 461405725, 497354242, 349621170, 549920952, 849341126, 162402404, 437873678, 389432107, 892786956, 231914373, 639250063, 121730177, 300770611, 434285145, 886959937, 547271706, 102333456, 150322067, 231377278, 964770493, 766583725, 647997915, 700469153, 452995630, 745711142, 173756320, 161550184, 665559220, 856021818, 173304921, 476952055, 172774212, 635850173, 400363240, 192698739, 884855387, 308703269, 365295568, 196650328, 609556517, 560998578, 361631971, 951646424, 345872638, 642529015, 607938633, 838199494, 904845185, 36482177, 298944863, 363880718, 46999042, 426470692, 826430894, 819889370, 862434390, 62734672, 423131112, 216151182, 821484269, 16632260, 269385126, 856329672, 800927349, 862332615, 104697816, 930842509, 601961159, 47274575, 170314276, 515311784, 206878824, 343550671, 135816285, 816335157, 137764313, 628840142, 522811955, 261005298, 461308734, 910308833, 63525632, 554608972, 339567732, 442546316, 298721657, 992204930, 379195182, 359963983, 493486391, 985328959, 919838702, 253039560, 462745421, 569513722, 404011851, 100322754, 920075754, 426436875, 498122370, 97223513, 415008412, 724797092, 193478271, 86062243, 301768862, 587533123, 51115534, 861499068, 983703049, 784053792, 107965203, 544769337, 722285034, 187372124, 43156774, 547312812, 960542199, 963421988, 425074510, 463100934, 148314464, 337252785, 921599176, 478673057, 899831797, 151876917, 326512411, 787934574, 537191618, 260956691, 356818389, 597231775, 213892882, 77089563, 718061716, 331410468, 29554601, 9105137, 910372412, 709082263, 266844064, 900678635, 841506996, 326521650, 882351399, 770668404, 714984351, 436444539, 171759254, 252575292, 949319654, 909871601, 605880418, 178351218, 296041799, 106357159, 11334689, 360388530, 170979566, 786256087, 655949664, 360445653, 825163202, 566144218, 287211844, 294695434, 800707655, 428516566, 82349278, 1513730, 869645462, 195436281, 943863714, 752281156, 890919313, 866217822, 212349232, 427253630, 208713803, 336359734, 650886044, 920727930, 858417103, 683961623, 561330179, 349656121, 996882057, 300383352, 117317432, 454640362, 790691206, 297313562, 338944291, 767195547, 9654694, 190015823, 882228869, 891416296, 711376963, 976563841, 250738925, 436759261, 832081939, 543181505, 12652324, 719578992, 655941169, 659436660, 395170313, 351442570, 790202583, 731529435, 238172120, 594338932, 617660043, 460408671, 793665921, 994692138, 761247825, 424116001, 361105849, 700321100, 389633646, 289292452, 374645850, 842502580, 48777746, 394023122, 283443215, 135640637, 422409135, 536735081, 209084632, 146904954, 258657239, 246344290, 737439395, 79259863, 647897930, 542800681, 293528484, 381851659, 877692189, 571009670, 843000755, 989758612, 599143928, 36277369, 620072705, 259404573, 686741635, 349963357, 200275310, 114853685, 681226069, 109803830, 261868438, 454002732, 646839715, 682927492, 455306351, 493202348, 481496718, 153003614, 257596610, 996475951, 358975743, 725075683, 367695390, 883608302, 473338961, 793006975, 576793504, 479730315, 671868995, 85174998, 669373197, 745066312, 301774371, 226903028, 440161265, 318348463, 289318170, 825613355, 981822670, 940935570, 420254866, 808798797, 374734765, 135526773, 185955919, 543077507, 36330248, 769778638, 761991095, 700328672, 907597735, 783075756, 814955543, 746117199, 995856594, 570633959, 611839280, 202882714, 679503710, 640668580, 780963218, 659747276, 346554419, 729907514, 503526684, 247620542, 502072449, 843447899, 251076614, 397535719, 707760528, 634713947, 348309511, 447838947, 714146092, 251135610, 729102283, 18067815, 845286182, 359024970, 444782805, 422288216, 550496408, 803372316, 308246837, 355539913, 425527065, 947069928, 591455399, 853912383, 697373399, 166260254, 575797622, 217030224, 713066950, 793828310, 313509278, 646781504, 921316841, 8288238, 78063613, 831021910, 257911749, 550734454, 862089265, 862702103, 509941772, 226365566, 81075519, 908500265, 193143978, 100934664, 60850665, 429104473, 14036086, 548732957, 276309549, 713750240, 692527920, 452458673, 97675723, 673013692, 6146452, 905913219, 699594741, 974475712, 743018215, 730449488, 961310274, 755357870, 582246469, 486064033, 873883950, 884958852, 712636477, 883527129, 793279214, 530233455, 212457632, 903681041, 989593713, 724201519, 709139499, 14766469, 188964355, 849178637, 902053305, 701293319, 169337026, 121551527, 866421801, 634296725, 563293153, 454195523, 608490619, 754649756, 960211167, 522917556, 455008773, 446212943, 704632127, 554818515, 732672658, 818154443, 647812258, 588453321, 872764781, 727394109, 282827928, 907152596, 381581635, 32836953, 291831822, 681416378, 296565197, 650236529, 978506961, 237628279, 442049718, 859018214, 252358072, 19876323, 655059675, 701937045, 775517730, 964790471, 640241971, 472900153, 249388588, 812469604, 541292630, 415977102, 399392757, 904835592, 800958124, 60534654, 257488042, 997491158, 915399565, 285839767, 437477008, 827916407, 418262054, 673397142, 640265141, 781465715, 139353327, 106911151, 989059545, 561937884, 879036536, 926432405, 479330104, 919880512, 650683500, 478610431, 560986366, 347376401, 637737146, 110953912, 857457337, 391764005, 976494687, 632660308, 921024647, 985147545, 636701795, 4489000, 65188949, 921673201, 697821131, 193526773, 917321933, 374797665, 962592992, 314887041, 433299954, 72500135, 887845758, 773526180, 936863473, 514968656, 212986168, 730847123, 376314381, 131542803, 713358820, 522011894, 422673631, 468838859, 530578164, 810746699, 643115407, 372210472, 624411881, 117286810, 771604716, 924416241, 220238837, 349856478, 440785215, 985488396, 796737453, 937270615, 57490506, 992743045, 431529498, 25676287, 846286374, 258031104, 539332299, 762350153, 203636094, 475776338, 704518567, 785979519, 840692764, 701922991, 575640950, 816079493, 658558077, 824664782, 414969191, 626327027, 882497385, 744751338, 811309754, 835032097, 804306609, 346484802, 819908136, 51360072, 87936829, 588813229, 571237463, 756279621, 131197148, 196761212, 586682185, 777570896, 186068422, 319696880, 426982428, 323161637, 817768454, 803601574, 814114087, 760613951, 233464055, 575289907, 124373489, 612136104, 100253413, 916600497, 532456812, 733030908, 832138447, 472130089, 724950915, 809230764, 229336617, 274063025, 346103744, 243170533, 388581795, 392737952, 984034038, 357635065, 9644038, 114883469, 187976818, 479635105, 192000579, 816608600, 309759489, 516049677, 667867321, 162740867, 586000593, 713242969, 490288711, 113558043, 970027878, 546386683, 425104968, 830682868, 76348024, 423881816, 415558711, 586549647, 145607826, 446738210, 984555781, 418336243, 439803557, 953391141, 488068154, 442422728, 150678321, 936208413, 224578758, 744301545, 140495320, 602881523, 334067954, 641562607, 938611891, 513144912, 41309900, 351562871, 317234065, 405119269, 902669073, 682756809, 461441405, 694558494, 627628275, 83560412, 517927837, 544366983, 112638806, 147355817, 732916880, 674361358, 326588048, 8922707, 957299214, 907198454, 309397959, 654217650, 704702046, 593023276, 919753245, 404575443, 838703436, 522698415, 106366518, 815029104, 380621314, 166070346, 848089860, 463299859, 686272355, 980518510, 462476509, 98838868, 771595022, 453174862, 317787366, 764404114, 619312369, 19457529, 191377603, 891874126, 82769594, 180226081, 800036338, 906534633, 583793729, 363317607, 394382778, 447663748, 425004675, 364430327, 890696254, 79757751, 725704926, 736719711, 757565609, 186115226, 89098457, 815289899, 936360444, 654495069, 974495081, 361733252, 878963864, 872293285, 871684325, 614025500, 966245100, 119971411, 561973374, 11795220, 160799619, 990752739, 306781904, 388342988, 700247036, 374388718, 80284970, 775341312, 48675002, 656912707, 42215521, 35763230, 694491618, 660880833, 291809634, 95554624, 264812750, 880006076, 869295036, 975623734, 642447063, 280372307, 508095761, 10302984, 155723628, 99458798, 654875014, 955316325, 275374975, 261430872, 808243975, 549345266, 607460048, 684560573, 636205339, 118910603, 222455587, 106590478, 126315663, 54763351, 653437449, 745268422, 688171473, 861926298, 677638171, 512642654, 666219366, 633893230, 942983131, 680324129, 318696854, 996835557, 985208111, 675908767, 245787446, 372585731, 831356740, 885218192, 536926778, 843440502, 707433562, 562101548, 760792649, 111288202, 141245921, 694139806, 221762693, 555819791, 956123647, 417804974, 361920528, 79767938, 101585075, 852088068, 57311784, 265459962, 821922662, 452684471, 5631530, 673330321, 532858314, 575087618, 448898265, 373361990, 357965046, 53421597, 880014188, 717245206, 189084474, 408825936, 872453532, 873946220, 738536084, 891896460, 141185246, 111864066, 423992440, 853431428, 425128439, 974314342, 135451562, 66887258, 859537966, 17615308, 593831358, 817822793, 797424316, 318331928, 106232649, 33687172, 262962413, 81134803, 803328284, 388507815, 464418993, 925362009, 470353106, 237171847, 470437132, 55103872, 163201473, 870774679, 109967396, 221489978, 32533184, 178290380, 425622630, 778211346, 927302433, 610350628, 150285049, 369770664, 374978638, 191357068, 728830894, 710315554, 300266585, 105340817, 609032739, 246391892, 942889798, 443049254, 599136805, 74560515, 302748595, 834486334, 753451703, 822873308, 775136722, 516595944, 485130549, 706068855, 822477359, 136532978, 157314574, 341501867, 232572229, 175578417, 50707498, 530936275, 891077181, 626793556, 983627825, 359214713, 398088894, 693328073, 94847666, 661003042, 951821784, 846527720, 582960296, 550590927, 155690391, 216722217, 705550155, 562210045, 487053389, 419911484, 390933857, 184641905, 837030444, 994573000, 764904683, 830344169, 629927318, 130434266, 578093297, 451998851, 21073731, 515579517, 78034590, 350199876, 450573128, 367313683, 707982635, 884290957, 231198902, 60923075, 885914953, 78662388, 324134437, 914907864, 415304450, 539348808, 841284960, 584773440, 920163586, 928491721, 129078001, 584008260, 39511485, 876413509, 603368407, 636989327, 353512833, 571325592, 466785802, 74676420, 590837382, 435550097, 706753689, 219633781, 688407641, 186197062, 310930369, 326836890, 622240534, 427405814, 211446665, 9754488, 46982737, 519150188, 662121788, 915931465, 878199306, 737921676, 571339034, 823863345, 561073464, 423722571, 187179115, 650931837, 449021848, 717738126, 569087817, 896996119, 319640176, 818190235, 798625797, 629332636, 379627020, 921051767, 194367868, 127828495, 378642580, 142411921, 194152511, 989503405, 391158276, 872787872, 653545716, 469238075, 364839320, 602164401, 963153173, 67714248, 886047915, 138881322, 199675923, 423694185, 734785849, 663852887, 876040855, 954133193, 749495021, 968473792, 354434032, 511973602, 203974420, 517473401, 799760629, 925625978, 251507223, 688792997, 852976400, 921769467, 169241715, 631002899, 408092794, 599129394, 78151745, 734920141, 527795782, 360046688, 828832090, 2199838, 858544576, 485760523, 923574112, 119654945, 43520402, 678517720, 963374614, 357215099, 305048045, 890059729, 220597366, 938492329, 202112051, 221863000, 244199936, 857393017, 29428243, 65935739, 301978803, 120095041, 256236628, 294141261, 112483282, 432074194, 833454064, 427217237, 130617017, 147489765, 325686392, 518469521, 968711335, 947363702, 774142586, 906384329, 532942851, 399249907, 777480366, 166238399, 93290290, 189085229, 463077183, 170569166, 404994943, 532652600, 801672045, 144418563, 461207717, 483975503, 87919998, 413722885, 556075015, 192029059, 825476816, 163615426, 803842720, 703599151, 923978527, 390851286, 271672382, 472552476, 884948050, 320143080, 344361890, 544615214, 662675730, 735339983, 462753312, 603577743, 770098743, 418674149, 590121723, 472033907, 260813265, 495449169, 510863586, 572169413, 303926215, 334475959, 894459870, 189295393, 94597570, 501762649, 792071064, 380237433, 456966372, 654517180, 563584078, 186002595, 645474672, 811018149, 322083614, 773690113, 396465706, 836018056, 492466742, 596889182, 914604256, 287242596, 524874720, 499343688, 728970952, 730224462, 753740617, 306544844, 673778214, 828565091, 690413118, 707782776, 65132317, 227278267, 233876939, 674951472, 799757717, 456565004, 788994289, 390233455, 797368452, 512454677, 212250790, 506801446, 298147805, 958565692, 925042572, 944085763, 500112976, 441334045, 803967836, 147238932, 886475283, 878321295, 28187919, 29789021, 909212425, 793808024, 77686052, 186524862, 149782761, 232751943, 730336935, 339014696, 541613942, 461041180, 815145463, 677251377, 688841614, 519834559, 815861578, 210234072, 482431035, 649492631, 295242936, 643429900, 146074440, 791072589, 14833420, 945018623, 191739418, 700956084, 347477176, 368521557, 45329050, 510290900, 409798458, 946015702, 732259375, 472214798, 308221349, 14024251, 617451592, 729592859, 129580787, 251132976, 763382685, 762960870, 368847370, 791465389, 34644645, 893122317, 809205638, 171071124, 95933531, 906335758, 179400391, 578920503, 268775092, 175524410, 545816300, 982608293, 615320162, 337138429, 160024463, 950760017, 188330695, 383210605, 274363988, 785766875, 513018603, 278330821, 767610138, 463967108, 48132923, 959307282, 173178812, 106273227, 751317760, 777775084, 823542485, 510816522, 171586076, 345913003, 461399495, 551139699, 296818054, 832141339, 714757833, 668841857, 6239059, 66375880, 539860191, 597857154, 98665655, 628501588, 535086477, 630994518, 507930018, 531580878, 865226366, 731738256, 935365869, 24352679, 193176389, 584115369, 222271366, 245160116, 658974155, 84672262, 978704989, 690373093, 863497439, 484828143, 877255404, 266352060, 762398352, 257690505, 939810511, 72875426, 253412351, 484223564, 223757294, 537911915, 145499986, 98344884, 350505255, 156514831, 328729540, 374451968, 756305373, 251015971, 652856223, 509882997, 550475531, 239576173, 929322420, 383871465, 100487323, 687817622, 838571719, 388345923, 436445106, 7885532, 974026499, 423169044, 356168374, 397323438, 462377064, 881897635, 114150420, 877823436, 667980386, 142675619, 842947371, 495753039, 30440570, 102485868, 856132228, 181344002, 947589104, 341501910, 651881894, 5865341, 674831911, 949352176, 400012594, 64732798, 106471599, 302279031, 802518204, 560774411, 689726674, 989560548, 422113715, 351180728, 825537537, 367011591, 170894491, 213915783, 500481032, 753467956, 956920694, 393646153, 202447988, 205375358, 341011555, 42702686, 573726800, 130118003, 230990849, 119288449, 798814985, 675320261, 632821417, 150701836, 725867308, 745930922, 782485640, 845406581, 282904555, 946201656, 510056627, 754865319, 133505161, 111776133, 964542694, 571267972, 427138231, 583335682, 235039620, 759689510, 509200186, 426257072, 643636168, 885775563, 957574886, 590676670, 379718424, 604446480, 232145973, 393019459, 430126488, 526870843, 807921792, 275274346, 742615616, 471173663, 433904255, 512472394, 161071692, 47150940, 644623638, 901577738, 219663947, 514032150, 914383714, 809060921, 660279998, 775566232, 696621472, 698118064, 127304149, 351581712, 5087985, 485175792, 482286817, 557676836, 646381666, 597043448, 943714531, 122745483, 162479035, 891628909, 922637342, 432652036, 212955457, 287132663, 183497530, 704578140, 283488569, 415000556, 248051612, 29198434, 317317699, 682850229, 658568098, 662264518, 819646552, 566369096, 798734251, 992903367, 360545857, 770117481, 191616289, 153114037, 258937109, 975439078, 896697306, 244884946, 251696193, 904491547, 88600270, 365063654, 368998843, 794183339, 930745090, 829376618, 268862790, 391472863, 686175191, 470766229, 236890649, 874501788, 647563389, 987435722, 984253514, 480673058, 928933408, 902923500, 420450563, 734594180, 101147111, 829453503, 257906018, 435030209, 392775392, 546886840, 55807219, 265589592, 20633644, 740545455, 687598057, 412887336, 28022988, 715183448, 327937018, 748833678, 463287049, 465251617, 969255483, 407182690, 293519242, 745241318, 628782531, 847711730, 620129620, 941729679, 924383382, 626568779, 255140266, 843762659, 305137455, 476539642, 801314593, 160371289, 376465919, 750008071, 254836121, 637666913, 4623445, 677339302, 192894294, 589422681, 82856760, 55620383, 54802667, 436163404, 545201919, 276977929, 126791454, 352360216, 478848834, 296194726, 846060791, 770279965, 356110416, 436469995, 696141908, 560241639, 206039978, 361639052, 963751447, 446597069, 569961949, 236117376, 162204406, 46791261, 442258682, 62889473, 373368274, 703456332, 765516730, 90163624, 942094242, 825285954, 934024972, 493497264, 298432370, 321088785, 749912996, 972081568, 395297053, 390043499, 908868394, 11904280, 172998691, 883758689, 920326576, 562020693, 610269420, 529939902, 672529315, 652934747, 360005869, 295243535, 587652232, 754893820, 249320260, 118366504, 552360960, 148287526, 926158729, 728179947, 240499881, 874092906, 215778848, 731526216, 895058098, 952603108, 706803245, 191913258, 687555788, 420083571, 254558296, 646905909, 204014386, 333572309, 493363471, 730632026, 389032755, 158304670, 329728434, 535486608, 315881556, 976221900, 482762471, 333783040, 452225678, 384669587, 750734493, 581634541, 640538435, 739993837, 682013924, 276294106, 12704395, 179494377, 871332924, 770671314, 262084448, 470312427, 654656994, 113538074, 390960552, 825151172, 464065271, 784477590, 516093706, 662668648, 720169380, 275718470, 796180415, 725243099, 747997405, 473583852, 534248180, 544869491, 280019157, 898528932, 839933722, 517327546, 324115693, 33512418, 589129627, 645663375, 339786439, 445205700, 321878697, 835666517, 188430161, 554115850, 83809604, 289480407, 652014086, 458092083, 881354002, 802841903, 371763024, 313018031, 888160089, 874565843, 204910655, 32709993, 748058090, 507759397, 669341356, 69056719, 25140097, 889564169, 81310379, 153765790, 519527849, 263071738, 846655343, 988246859, 23547256, 64274358, 309621772, 108091722, 44823037, 306018774, 375458271, 824348293, 637291909, 849569403, 488901391, 499324847, 90698282, 237153472, 740956963, 485385145, 895416057, 115231049, 583237280, 103559863, 96141361, 802459728, 683768088, 383459676, 402027244, 193973670, 655502744, 830079928, 359944782, 942091219, 621166010, 629102536, 158282962, 682825849, 584527540, 335657192, 768812641, 769354957, 810151248, 14428302, 918014017, 318111384, 892500980, 868058526, 107894078, 279538251, 574862512, 711465816, 391561161, 353558186, 558581617, 712599124, 199415579, 142705903, 423482618, 707665306, 94835936, 518070631, 771844394, 42331016, 241478274, 457825668, 701526314, 811461054, 298256107, 532835505, 705893376, 163035128, 932769786, 877915393, 148729522, 233736901, 797247115, 193514292, 79715625, 567316232, 949070633, 223404013, 146450084, 743159987, 984944857, 470724542, 351022513, 580337720, 861156281, 960783877, 988163582, 56205032, 657861261, 119928040, 933146084, 511151411, 214054184, 720952062, 74889359, 316345372, 189197953, 696073840, 540695748, 75698490, 165104884, 679725866, 420650185, 718699715, 963945751, 646317172, 26625004, 252346631, 6326784, 551259616, 745239928, 354265268, 379868289, 711567671, 713558376, 731286970, 579105455, 867918966, 687727352, 625444777, 92666031, 961817505, 610218336, 75135649, 631865402, 134775726, 934137480, 917689390, 412146838, 39621797, 709240423, 144341612, 823020667, 984062397, 427099887, 924357087, 975390144, 107653330, 848520369, 823978717, 553302030, 120258497, 808217116, 125872550, 206532672, 510791812, 128998629, 428661430, 86478712, 862702907, 89193944, 110447024, 541833339, 518927928, 661817757, 359826441, 990029790, 454439069, 188363543, 735287629, 339799374, 241024295, 895141187, 696354583, 372031987, 835014018, 652522659, 806270463, 184934619, 362439592, 718494745, 60904349, 107390773, 397483390, 761857634, 986271058, 558024332, 190278615, 308412513, 602878425, 679134443, 334113403, 119939461, 429633423, 941842105, 801183091, 257278011, 780044944, 262986606, 572757570, 873642366, 555369914, 858514273, 122621821, 410470942, 174216592, 328239892, 760252284, 269055786, 561779992, 742623797, 783352015, 258521569, 36706354, 355302536, 50312117, 867585367, 379317911, 35169262, 391865832, 192563536, 644252925, 985314360, 945851484, 864218193, 840102992, 710948752, 731908037, 183294757, 709886093, 34870060, 569724765, 502334582, 772889827, 286765004, 599366636, 34806415, 308206755, 244150557, 328643969, 84285611, 370617433, 441908180, 357813132, 989587954, 397089111, 216099352, 825526942, 329735761, 76821680, 108299908, 803154173, 644492201, 872730523, 414289756, 481989548, 894829821, 454256298, 448013175, 596336652, 636112830, 557663050, 88586296, 657226686, 366257035, 991818586, 45977711, 278334772, 428542779, 830536130, 872401720, 225216559, 427011929, 440832032, 232423610, 202980786, 786417221, 436903232, 317677208, 382237213, 796306773, 832205863, 953185660, 441222594, 244645732, 798657208, 377363307, 14648115, 887982420, 179918376, 61753173, 275830075, 136766512, 359187691, 951145550, 17058802, 842466289, 313273400, 138197374, 732098826, 820502450, 184766102, 887714849, 942220145, 93783981, 480391122, 564897458, 737492992, 820546126, 857762254, 310572772, 888431620, 577687433, 751804303, 703713661, 97423096, 869564822, 203930671, 662573479, 559014282, 694656174, 109619805, 177692062, 430570041, 293208523, 166824624, 225763182, 165748608, 115251272, 793991584, 127874452, 936139284, 270426309, 70939617, 143448150, 79595633, 654637863, 660059659, 525890005, 94271328, 589659189, 885568008, 440396376, 228310495, 592596625, 256569122, 590117724, 46236972, 435860259, 902392322, 888915267, 415165988, 355383313, 250024706, 782666244, 236068076, 599478943, 182305088, 110289236, 674190562, 528420000, 318216519, 775961110, 558385619, 84857305, 689239298, 768313078, 9858758, 429919545, 404618535, 162434848, 888409509, 845971391, 623749095, 934341361, 205464012, 322099004, 529196818, 361437204, 762920255, 559217615, 712657435, 982461612, 147733352, 96695180, 44747943, 749451861, 91407470, 741542438, 487661475, 898822858, 2712547, 351303445, 903833876, 577926809, 386540403, 440550637, 599036842, 593118009, 573548010, 953981606, 438367585, 556036186, 160631931, 144476531, 497636818, 537829269, 938647419, 648711480, 962911105, 122419856, 509265594, 93458552, 616286509, 320699713, 830129952, 790884095, 707354421, 297131210, 710159504, 897642251, 343087014, 622601107, 619718908, 940757977, 426712591, 722864827, 801971157, 425943160, 368461632, 335884685, 212562535, 100143164, 684557999, 216513708, 253484433, 785179545, 383423948, 157884726, 104412831, 172990370, 825879244, 933344630, 89193930, 759423480, 668970639, 443474682, 360666936, 113681364, 135526993, 962782833, 283216173, 930212195, 520825462, 621012610, 424586012, 402946653, 557803224, 508398581, 719820073, 273738884, 245693430, 974544575, 909608002, 802497009, 767073392, 232719969, 194635034, 53883987, 612393575, 862803394, 702146867, 614158348, 674023804, 22688994, 393922556, 336389831, 341045857, 170437245, 864200317, 467377735, 698406805, 216301208, 726314826, 816904475, 338606210, 145151939, 721805354, 305801697, 536757511, 856934447, 232981634, 998950298, 825299130, 117074878, 714673801, 602669359, 569313464, 915493288, 333444096, 925010480, 288281766, 326354132, 710666449, 670224741, 249329045, 537133684, 128380112, 296076186, 822181080, 170217508, 719034559, 241827561, 491543970, 841737540, 533062554, 590272935, 617777279, 8321195, 368226686, 125612212, 393481059, 867942649, 374990875, 644696211, 980375781, 257325825, 102485220, 218024700, 708844177, 520984295, 965164253, 128497323, 174435209, 225416749, 475449817, 86157745, 903573205, 62676266, 999651097, 187827466, 480978420, 438558990, 731800709, 147895340, 709410777, 207621195, 404243635, 511155198, 822295457, 972965181, 926864872, 725800386, 899105742, 740573865, 561840627, 618780807, 375092062, 739387054, 81056399, 192290041, 779750705, 571569199, 799033182, 907923189, 798261756, 381197804, 61258231, 416760798, 649657701, 427057664, 199574252, 731268725, 48741658, 199582188, 862216154, 121275805, 370814637, 428033053, 274307961, 209403150, 417428374, 581430597, 874214864, 362436318, 724701754, 770659112, 427342588, 7169680, 586736635, 216412437, 495290730, 247035007, 620744249, 617300848, 515575914, 184139770, 780053042, 147199860, 77711105, 596036543, 130778919, 789598639, 689083616, 437482557, 145420222, 674912486, 382929764, 202313664, 426282257, 734015296, 476721768, 268099782, 459151872, 425140250, 425382351, 253413718, 792228278, 243300472, 644533861, 154959103, 165976815, 845493762, 501516175, 298629022, 380014337, 237439781, 518202548, 361097802, 540543496, 958259792, 546853606, 113957800, 734121282, 109787225, 137862680, 746715286, 688279283, 788509967, 541102594, 196717648, 780812829, 949633099, 18753885, 471673117, 46063738, 4310394, 525686377, 460579465, 610198143, 74993847, 858783171, 799624099, 518501402, 101777365, 452051845, 627233389, 371924176, 981619161, 809095987, 454250912, 49253889, 531183506, 49094053, 767832575, 749718729, 234904330, 240057536, 912993648, 733138712, 67454908, 102412256, 534511509, 714014623, 750591692, 358242948, 698914308, 329170993, 638577338, 214199965, 401708544, 203714827, 15761679, 631965686, 24563524, 473822732, 446197987, 514987551, 716547059, 756062648, 894381928, 547132416, 297437330, 535313839, 115216942, 386569736, 139075661, 82129828, 684469533, 546723292, 817577296, 614510839, 877561441, 961201094, 968568753, 669329857, 917830423, 995141867, 156048176, 396256863, 576752276, 712865897, 480222744, 290088454, 338355137, 784924422, 558735332, 408872312, 405135255, 860923206, 649360449, 916173792, 856129031, 70771648, 495458871, 555660932, 359743672, 839855388, 78325628, 199918602, 366170004, 755987065, 310939322, 837898837, 362594955, 282145138, 994637217, 363474257, 35872067, 890731126, 328921366, 951598952, 879826282, 815376534, 111293821, 849807640, 508558397, 859527179, 669364924, 361374896, 555593563, 831733076, 918621025, 453450459, 364118525, 960731253, 606186967, 526127088, 434692658, 750941216, 254251628, 760138928, 338116656, 995653643, 669573976, 975571508, 867283968, 82266565, 821027547, 912993841, 216282737, 562785394, 824820749, 699761082, 405850222, 165257969, 43982116, 337487989, 85288207, 903870134, 477889168, 398294131, 877260236, 208946319, 623270141, 587142952, 968497694, 537473676, 389042821, 351444527, 78333607, 958659411, 956062376, 13970319, 121156751, 986809579, 372085348, 193647658, 852796549, 5964690, 965133144, 80815201, 636409274, 256780084, 993305992, 907516328, 221495058, 771967911, 625871828, 388212111, 404988229, 413856951, 62947790, 131873222, 938051463, 653498950, 221240136, 934502620, 416723984, 573421923, 454133935, 598788114, 588650938, 105529281, 206721864, 229823751, 113743272, 703380383, 408033873, 503385364, 154688569, 216002477, 320260507, 731798905, 649339934, 95722290, 604977220, 49777938, 415188908, 881562163, 503888374, 897437256, 690279279, 215447411, 224799896, 361769122, 230157215, 846508574, 162568319, 685006248, 314445334, 812662000, 590370376, 279370358, 603018559, 421181682, 610872879, 464473861, 622641185, 12007884, 963603635, 452981157, 428011682, 332378626, 38126152, 179858011, 536169851, 924034203, 475573729, 303378807, 288997523, 419480330, 383859487, 324170952, 688945504, 924192985, 961547806, 883893850, 533683426, 799320404, 314744693, 303631977, 739540811, 335768920, 89184592, 133378072, 437037933, 33453680, 112939092, 149019071, 579357913, 133648002, 808902351, 155640548, 421061742, 457086435, 386977664, 103425366, 732468855, 851981616, 867413392, 968527753, 718240507, 859675910, 392543612, 113812939, 428674482, 986252101, 793516901, 342898373, 938958208, 817170018, 968525020, 819517424, 498446647, 137360744, 18866470, 935356961, 626448561, 677196242, 322219784, 125805443, 596104821, 915709891, 533404350, 315459774, 138434297, 621797342, 109257705, 883791781, 4219220, 124831669, 892767167, 315242656, 636697622, 958510219, 823812249, 112828112, 959476400, 46220013, 37156486, 354793200, 619599485, 954001330, 189654506, 771685104, 778222573, 875227656, 982771887, 615455996, 32288707, 378077771, 236982339, 681624124, 13918967, 680352843, 696147487, 261419734, 73005788, 707534759, 382769920, 907277954, 976724625, 42307132, 407426291, 911084189, 430819448, 581342824, 345246534, 794477026, 346328848, 666383969, 419002151, 516766041, 599110332, 316831841, 655353816, 119485564, 93882866, 108611193, 411854227, 7066937, 954559435, 648487543, 604329275, 280218694, 554177373, 71215188, 155441048, 198727658, 154314698, 197254125, 582756073, 152552004, 708573406, 463953334, 138022478, 859415403, 700964464, 90143636, 959795111, 308796574, 539359961, 695132229, 52018842, 7869156, 754150615, 581600512, 431819488, 75869719, 550802762, 876506787, 352888672, 735649044, 71028723, 477502403, 674659526, 137000191, 867466954, 626159001, 86151185, 652163675, 875459737, 931747826, 827899151, 822847113, 444691524, 917283716, 538008540, 567887668, 942238825, 582789494, 900696339, 312179893, 519118629, 156722027, 588166313, 394695248, 623608245, 748454192, 624977311, 82077857, 914408336, 679286071, 463058966, 964466499, 439887762, 630055531, 414411936, 435955145, 486530787, 985345523, 131845973, 838171801, 15580441, 407579483, 250881447, 569935283, 195676201, 471682619, 136748040, 652985196, 845798274, 977277345, 969281985, 562769658, 954677164, 336645103, 846700035, 285227830, 453397000, 66246726, 372786750, 154514671, 225363784, 140519100, 24687124, 196750559, 463099077, 559003600, 336489278, 268740551, 9114222, 357265515, 347831369, 583238201, 63132763, 818981390, 80707007, 394908963, 496756482, 352926999, 913097545, 946064198, 685666693, 374182832, 565275100, 992963212, 98678926, 394042864, 907703474, 892097647, 39244483, 742158582, 648579740, 97567708, 845472327, 371509011, 692168526, 442052983, 358555355, 858690395, 507062175, 825495951, 846539122, 700772512, 484807297, 34618534, 173075709, 431307067, 287930543, 859133969, 849920311, 660956206, 951891196, 979111212, 154702810, 830059573, 691029743, 98030433, 629225990, 287454421, 541525369, 295665213, 579711639, 181707303, 270863340, 826206533, 129918529, 226949125, 393813251, 27632199, 219599102, 42533580, 906427937, 142523298, 210032413, 903611912, 45898977, 632282466, 170311728, 998318657, 782251127, 607252314, 334207179, 142840357, 575826507, 70011166, 151340577, 725782952, 597523408, 586920757, 592529654, 420145717, 483133709, 919399536, 854847708, 288529766, 504429740, 62778793, 223526246, 789307417, 554769911, 650793356, 632505518, 507388716, 819452503, 398978522, 292778334, 129662033, 242587223, 337804326, 317350863, 892107172, 591864272, 286095755, 578227659, 80740532, 352456221, 686798859, 505287351, 381946953, 275356746, 883240768, 72372131, 347498435, 327609495, 145020051, 710851393, 436270804, 803553855, 230958290, 381343268, 987714180, 993609078, 91828268, 40496139, 176926963, 175088491, 291588840, 399477269, 303732580, 579229267, 820426465, 41257135, 833532519, 40823139, 628465699, 49688976, 31578203, 364657981, 585081753, 803666943, 668280831, 234571486, 641600563, 762733126, 610818138, 197341048, 272608622, 509464408, 619127444, 736348753, 286157365, 644361130, 979817532, 200295736, 179934071, 881989235, 964815216, 838066074, 76045281, 613124107, 845896278, 485789107, 288835272, 230484028, 447081096, 474265689, 107641084, 923818902, 516317009, 500887889, 890078653, 60052627, 52863095, 270362545, 323929289, 239412132, 251183825, 429910781, 257122297, 109386714, 85383694, 617455578, 73516378, 320482474, 823752827, 569065284, 372311029, 652924147, 726189763, 643757153, 273322210, 949372126, 224707978, 292681603, 961759899, 811399092, 737071839, 677746745, 999342689, 969732344, 189852076, 13000244, 613414535, 177928398, 879316091, 366974990, 902089072, 939516654, 464478760, 911456267, 857057644, 258394710, 290913027, 715221496, 572782269, 156459868, 252295374, 527185866, 699351588, 417794960, 676032008, 99830089, 97719614, 851428761, 61255178, 909852889, 78552145, 42902976, 587698628, 292615921, 856360750, 766970949, 649594043, 599763752, 112763470, 281984507, 456968251, 635504646, 669124255, 968089339, 398857258, 651559390, 49429897, 693840498, 970522429, 182354286, 785991061, 312236519, 336775518, 572052240, 2720985, 940483566, 3266264, 787718820, 332615506, 179111803, 814014864, 440471327, 686274294, 337675153, 433224530, 923814779, 558496291, 793915653, 371064283, 121507131, 636362529, 451808565, 958066853, 917857359, 941231408, 73930420, 560517322, 549388134, 242196721, 826146804, 594868434, 641762579, 246884442, 629721184, 993370539, 37298935, 713440132, 364526921, 405369256, 853279684, 980857350, 444732569, 847199647, 646416097, 262182494, 850405072, 375830473, 375801357, 19516269, 849173279, 604942155, 581611017, 611277835, 766795375, 542232261, 965135419, 755936453, 365112338, 709286015, 31541771, 140050167, 583844122, 686950180, 558018088, 537932891, 391784405, 946178397, 711647927, 303783712, 904192393, 883597464, 73031737, 858269565, 949689554, 753172809, 286558384, 716472317, 857250539, 610118646, 529052243, 971724148, 686821008, 117350953, 204574936, 255552073, 420405835, 544507676, 582079831, 3434612, 184932051, 483686687, 516366757, 800927022, 968082037, 568157180, 234085412, 233468877, 562636549, 338817096, 62512519, 634099038, 125968689, 865328053, 171805415, 214879095, 9226319, 967119800, 155753314, 627317415, 724184613, 456754141, 383088794, 388048149, 348733286, 72487263, 545653332, 595163686, 238179454, 696852179, 136775774, 543089084, 575336218, 493389321, 57905433, 780393841, 28373297, 875649011, 60597705, 10501533, 769981057, 175473036, 454059480, 214447932, 766981010, 833771553, 699994713, 336114201, 228358652, 167219923, 626507358, 829513101, 545724343, 764125036, 819964160, 811145258, 733546061, 137516951, 836572101, 443913679, 423128644, 477039982, 44086094, 914979747, 425015143, 545945206, 350856623, 422882999, 542728376, 281472705, 146323965, 387539114, 887101322, 203928796, 557015044, 539385958, 160505770, 530050888, 920938189, 290251262, 19526307, 397188919, 333664364, 995279125, 189200254, 403498451, 859591333, 362474496, 994557218, 701788292, 949051372, 547760826, 533028076, 394415801, 719105695, 340535042, 176211141, 992722424, 26045749, 42702260, 736307368, 263277284, 590740589, 827123683, 871983320, 711390299, 818760622, 788269519, 346305754, 66908693, 410365062, 441253237, 406640661, 963914443, 587194277, 768278450, 827750999, 989044531, 59946125, 792592002, 602369575, 410248708, 177749731, 630491484, 661911639, 255971937, 593895713, 738453984, 932290444, 797665165, 921091967, 406733209, 713173564, 651484988, 982401752, 642896846, 712275321, 831209815, 852699150, 472753354, 287344590, 936240944, 831206703, 319293337, 34399520, 359515854, 626594229, 781038498, 465806003, 838190655, 680150058, 705506639, 605270192, 601821583, 438886076, 550841005, 947497369, 597570830, 699474285, 241873586, 701525400, 320134357, 183541137, 370326644, 948967689, 860305139, 407671131, 326040882, 669595634, 592411655, 895709392, 217757214, 555473407, 216641971, 23528645, 714948306, 813649979, 83885115, 274112601, 490636448, 864490134, 127818590, 544376055, 928393661, 771093415, 136568556, 100766791, 420283630, 889095275, 101687816, 834322627, 486530399, 520558689, 845589648, 393921403, 463135491, 856810967, 845238662, 978864674, 964502754, 373317924, 358265835, 636567811, 241636499, 783293004, 60275530, 246390175, 137046182, 394732566, 515710543, 841243459, 946727883, 767690507, 903781621, 547324798, 555499585, 292112372, 764800653, 383971334, 725118709, 758358350, 74343053, 290321764, 709753831, 961727254, 168944974, 164483605, 377520402, 63184171, 139884319, 234827181, 358034748, 712875470, 509365064, 203387578, 952587845, 965701034, 383217975, 445305780, 218396267, 562259632, 824145321, 370470991, 341762551, 710766547, 990520754, 514526360, 434163576, 77872344, 686492264, 21064751, 127405510, 75445008, 380604912, 595265163, 54308005, 895004898, 664540229, 552210857, 773156450, 598763949, 888554498, 223250727, 487776946, 1004849, 774886071, 482601251, 442683578, 688520956, 742214158, 790763854, 920969505, 993129003, 271269749, 637075292, 818445372, 721605926, 905003698, 219244526, 416379451, 916731989, 726588022, 567383859, 620600218, 44375163, 713741125, 233594139, 901958256, 73737415, 914528879, 177557364, 124271772, 201694637, 468664391, 644614497, 939541007, 278275413, 343909517, 586466301, 694693596, 94277030, 709783283, 254974856, 342910617, 629704015, 189273187, 897327588, 607620004, 142939548, 175585887, 652384065, 709864026, 877268801, 797778039, 818198196, 965787908, 324349236, 230071142, 176549925, 142310954, 567371671, 999043630, 425926098, 201620705, 365221887, 901539758, 987192568, 35857210, 636154234, 39524948, 513969655, 760250257, 861149844, 796804091, 100793722, 317526463, 855921597, 829715530, 797308981, 195353875, 814430976, 519201226, 483995969, 335820001, 730403515, 956295411, 271039610, 438852302, 339142415, 3098589, 689362615, 411893289, 327273672, 126646191, 697698265, 65817979, 927387394, 726493719, 271378715, 417906457, 679376495, 303165334, 796289975, 954520765, 498748873, 862324350, 332408280, 860568570, 207316986, 929451339, 230212808, 372598683, 216771952, 200821338, 393613509, 493269646, 636905778, 934124638, 510587586, 220477781, 444587291, 871051525, 395096920, 979256175, 206725288, 770510089, 369085609, 714498509, 2650289, 862009189, 762057157, 757153233, 495104670, 914680447, 487882646, 800309270, 88291968, 35916177, 932844104, 484462763, 358311909, 571260433, 991906925, 970995100, 961948568, 703600202, 765079278, 871048366, 486448876, 218799603, 485594672, 489727328, 990482433, 450153566, 62336841, 548334986, 535390219, 953448374, 880084929, 342380600, 215108339, 922924027, 690432480, 785397233, 58400038, 799799262, 766129224, 411271650, 691985514, 381715138, 421535494, 690656902, 43556730, 72397941, 422101676, 308818772, 593765517, 225437881, 408677824, 634379960, 71267728, 710752715, 679182931, 859542561, 473579746, 122628141, 205257820, 871893168, 341356720, 265659050, 330762252, 135663849, 775303884, 234886289, 934709789, 360323689, 463500635, 911847219, 361601045, 703758281, 790377891, 907188577, 476260980, 662712616, 932983767, 206862301, 581400931, 1530848, 354117037, 142951889, 526760368, 688566135, 402495204, 524756342, 229753913, 20526514, 453345809, 927377229, 748980693, 551710740, 818360440, 123224710, 384209785, 405535651, 293336655, 851339202, 123770648, 176437030, 730557898, 765251582, 852596847, 509487100, 850278726, 561834648, 925358556, 921898392, 149315038, 152388192, 91051579, 200492799, 145051700, 540282940, 178567734, 18660538, 15081249, 264282102, 369480355, 988236843, 841418606, 680196565, 799832616, 716415137, 274774922, 609715968, 760813266, 296717810, 632608492, 748345617, 188215522, 449647077, 290531101, 440034753, 561488800, 765664028, 290706087, 548573700, 889786316, 729277620, 98160245, 662349459, 942761055, 349747141, 169882815, 408654261, 979120637, 629296501, 622388221, 206122533, 253261021, 234351731, 441783122, 300292782, 366568555, 177913477, 886275902, 453991962, 121236578, 918700279, 276782381, 332428745, 628325053, 36312585, 297996158, 658832188, 723564913, 94252361, 332785893, 97541263, 613285026, 459417240, 180312047, 437640160, 422184487, 277447196, 477815263, 677858641, 851621339, 22047706, 277068487, 111859841, 604580126, 199090146, 867183836, 827363000, 84839888, 69898493, 641417979, 74680499, 348566259, 563998473, 409997274, 878459211, 900467847, 745843328, 473458089, 780692735, 102787690, 758196351, 470988426, 609714186, 974450846, 877155461, 536988221, 493069451, 1453580, 725803442, 922316235, 497450853, 138675997, 228190108, 99727895, 540356270, 375125959, 300017294, 976538266, 442929743, 556082892, 253282766, 387931054, 643946660, 415818108, 848412050, 107254365, 567225790, 846774202, 732925650, 300507432, 952371218, 499201049, 94339492, 49848278, 603185444, 313437640, 30559294, 453110321, 742921878, 31489104, 950201985, 137893033, 240451850, 756081087, 384724585, 673202438, 350500625, 304681919, 805937342, 783496485, 132714877, 466293006, 514324490, 144168475, 125290896, 89688038, 230390897, 336705247, 882376959, 587224376, 182704799, 25600937, 411947224, 485103606, 209713885, 632155908, 713547836, 650768792, 768255514, 562032464, 827474202, 98610936, 980224527, 929502240, 735751804, 856184223, 729924400, 462604268, 540151663, 758716552, 30909858, 985367816, 2987637, 395069485, 960287989, 34553694, 207189124, 441352475, 352094595, 968808598, 604341095, 423605230, 416501038, 858724793, 277541499, 813185970, 310349687, 910464479, 756149781, 254759034, 810590379, 949199574, 579423805, 34439604, 158310592, 475594217, 756856051, 27068424, 857286840, 351494439, 837494901, 658123850, 247665784, 74747809, 12120699, 618357918, 120873751, 904081756, 762310140, 460148798, 873761784, 40239606, 915233925, 571568951, 287868859, 649923592, 642239833, 233488362, 987542477, 276798158, 327208642, 256876300, 589241301, 958321030, 422696199, 374530894, 499502144, 782656580, 787340392, 619502197, 547692574, 427486486, 576224208, 429555873, 763934982, 585400520, 678924670, 479413996, 879049613, 454771049, 140790072, 737705552, 584148829, 967177466, 601472796, 558031960, 738168052, 261767222, 179577027, 490535465, 343665522, 66784508, 322863888, 113870301, 261945046, 190332957, 397238167, 852904102, 864710597, 457979672, 246688793, 515286074, 113946652, 464819157, 853989284, 76543177, 854487075, 404117048, 9456958, 97489937, 674065828, 685605622, 863825650, 352193762, 112423389, 736341751, 512750552, 776362773, 226406391, 710452630, 148110918, 334290521, 155556186, 582077371, 797824765, 860144610, 29837664, 402664700, 273036857, 295384986, 869468647, 512169570, 662284334, 348321704, 449654337, 615117886, 204240368, 737639325, 596491747, 1778297, 992742473, 797486845, 812883625, 691275240, 682141035, 632459859, 515103343, 840336448, 388801056, 892168071, 375748831, 832195705, 103613062, 88858393, 178792449, 607131057, 493792001, 566061698, 380511692, 292057129, 740094751, 560042352, 600729404, 107361027, 162039487, 884954959, 937322002, 557776239, 195228465, 499935567, 904078535, 685638759, 451284205, 38748604, 439895534, 507543511, 547482878, 150048083, 466027281, 498317433, 922799669, 245384579, 566291956, 37524328, 394963685, 188508654, 329924214, 783539204, 157453523, 544458923, 789204005, 723898481, 907875341, 343386510, 488856696, 380990891, 40967873, 108288561, 487360658, 487416954, 468762448, 368887450, 662678627, 250780491, 201872907, 786225119, 497709873, 889214914, 26471067, 792380984, 276474160, 215765593, 854211157, 571138447, 948692049, 506930195, 487843274, 170162978, 992498549, 438094991, 774805651, 360452057, 264850711, 858726636, 184755653, 601227390, 316543592, 270517491, 844840088, 644682121, 325920183, 63510358, 40924721, 201362442, 31459972, 666759663, 223210660, 483033461, 261505021, 670416609, 830324356, 69423645, 228346258, 144130957, 200104378, 416255458, 646363604, 748423128, 17669405, 728389107, 849439564, 393658932, 480516522, 377409374, 657639274, 702087086, 963578502, 208999513, 285846993, 499188836, 52387832, 208494369, 297854244, 361550784, 417205855, 298959188, 564889591, 171678957, 110802026, 792798175, 196408775, 182731561, 50118507, 503717502, 409283158, 347159088, 157888270, 982234182, 599070611, 980643417, 621936584, 223208489, 120900403, 565917355, 824907606, 310317795, 129042116, 195587952, 843766468, 756033729, 53502021, 525774634, 308332485, 696973954, 43387247, 743203554, 929938531, 931865379, 894621642, 893770610, 209064646, 146165254, 220620903, 955471756, 525508420, 230197674, 757023859, 140903645, 17960882, 134063743, 527186633, 520177450, 633371752, 394826332, 541179346, 168209535, 835536448, 864549299, 786288235, 404359034, 547750144, 570726841, 561658198, 515267032, 283576921, 672079993, 270310838, 904935060, 174064572, 522453297, 917662814, 695756459, 890068744, 632736145, 28818790, 746411531, 643225342, 19868075, 922393993, 197499284, 907093854, 329021792, 568072148, 432064132, 803855327, 768778359, 744146217, 285337675, 233027064, 235738280, 475069789, 343478427, 974924421, 534925483, 915324187, 404342408, 341314805, 500200359, 664796294, 905539260, 569742784, 650660889, 90036679, 505088271, 767517951, 837870211, 755814771, 691459591, 992893690, 465614303, 584540661, 292306160, 753332558, 758362959, 544812045, 187788867, 129314254, 613506261, 645565046, 748914596, 201265364, 661891426, 713295144, 775925245, 649660227, 270391344, 244390627, 26976186, 439343844, 606581913, 402469269, 194838366, 919249683, 556605026, 275027970, 521387327, 154113796, 7518592, 799154260, 695010464, 833953489, 987125409, 516309641, 77816421, 402969097, 147648365, 564384998, 916198004, 39007486, 381773405, 771344213, 791517741, 48325217, 726881247, 326935544, 87490294, 767356783, 51267217, 888400644, 59440086, 537316087, 992701890, 419747229, 292433093, 785041135, 868286229, 721946957, 665780205, 612395877, 982017549, 533891983, 849314125, 660216005, 205093549, 886638823, 924572913, 460896448, 695965718, 235459061, 328941207, 498658085, 478555930, 987710596, 177888993, 274251616, 759341908, 249071773, 583373250, 232773697, 967908345, 732341387, 497682800, 196756014, 885713951, 990562171, 721624828, 663126666, 122206826, 680872716, 678360006, 656043287, 388658986, 80228346, 802900682, 460344226, 962554285, 251877979, 931072675, 13251703, 229684721, 74512179, 408805872, 846127565, 746019186, 209165243, 196798342, 717835359, 680641736, 325302443, 926427294, 917624519, 240975095, 283842769, 285320633, 923637933, 962848481, 659560206, 274073990, 109517719, 766749744, 159233601, 463262705, 582798612, 332420045, 604803617, 99815403, 309263379, 801913377, 921169745, 507390195, 49351412, 891225042, 186378212, 745450315, 480140981, 604118933, 128803565, 173284915, 623154511, 174667270, 979847380, 360891841, 596192209, 541294967, 984565838, 243153998, 167359901, 472940817, 380902959, 115184265, 7496250, 251733383, 475422600, 493781920, 677275565, 775165701, 429018484, 706707561, 19671681, 24290291, 154894358, 393574615, 862311012, 258913498, 213097972, 412383745, 109564119, 791048503, 967319935, 472246493, 92591341, 498032641, 291626644, 369703820, 23191010, 427282293, 878901713, 188197462, 534720785, 775084629, 408808555, 585389623, 424058376, 729256668, 939747888, 261893656, 166175916, 336340250, 33677084, 882089024, 916749486, 620274169, 571025477, 760787486, 134463346, 260256750, 83835954, 353865745, 17637081, 150483063, 788400380, 288719002, 642624149, 243211747, 438484909, 911248810, 839159093, 387978842, 468363311, 798904821, 331356215, 408720815, 279641762, 396443139, 857431043, 524394243, 728180439, 695092217, 6728802, 729487612, 426166941, 818825619, 412888165, 205173498, 585898257, 158019819, 360563875, 401948224, 397710340, 100424040, 372567835, 337850659, 873232988, 211659814, 492305617, 527630034, 965808631, 336755757, 347408089, 170894892, 852799138, 475314713, 981967321, 848441035, 285282213, 898104402, 372843879, 866080483, 457590082, 722541367, 758059609, 663955067, 913945600, 751915428, 611167691, 117334755, 572447225, 933799485, 354615711, 182142631, 787008926, 142999279, 146579397, 614888274, 609204299, 322921411, 967063211, 534347223, 735928840, 854807349, 860154263, 593424647, 683695312, 305100128, 118864210, 339919170, 225250473, 520580709, 264673700, 402524164, 495370576, 119625939, 202485996, 280585741, 503762094, 875142290, 527859735, 311624963, 105696547, 747399731, 408280049, 431730291, 721763019, 171228557, 842902514, 642404769, 776160920, 893777101, 156627530, 243291, 349373974, 765087966, 774094700, 84837670, 726730378, 355829599, 169415420, 374154930, 805871024, 117318386, 465491036, 893448035, 342798795, 414142348, 252316068, 807265194, 815746496, 559406342, 478331686, 355944935, 166109699, 94744777, 903169835, 309464204, 367036110, 297449012, 113693814, 356161515, 150977603, 919299167, 139731632, 877255824, 497394566, 894601891, 180987131, 981886527, 605378692, 726995629, 737452495, 741994473, 219093102, 937316920, 616216209, 637575205, 222375085, 71921485, 802821842, 6935555, 621553245, 723256757, 191100975, 69800952, 31074772, 599198173, 141417353, 659474974, 263631939, 95607180, 10142881, 262761912, 765704743, 654631066, 122104034, 19724920, 437243160, 969207631, 7146199, 792984391, 37047653, 976980701, 550668751, 720156838, 745601903, 696348992, 313593250, 620244008, 320677745, 231391621, 590232360, 242874008, 678391481, 984601259, 361273373, 896060180, 946110504, 933750206, 908039357, 85014791, 241404147, 300985406, 158562082, 750397585, 195300358, 786077332, 368575103, 235079973, 643280990, 874330097, 838104001, 254104695, 472813792, 442046958, 901817507, 99987886, 691661010, 34846040, 634192313, 633256910, 341435033, 958121013, 808232179, 193807605, 702974730, 276330736, 496523737, 584451646, 361652597, 619197334, 167768962, 927063635, 784901840, 769906717, 363793795, 106302296, 276573604, 566494384, 134990942, 66753992, 41954520, 111369038, 997305486, 27448214, 254759449, 563931816, 575471912, 554623427, 753459153, 887582767, 719438466, 440940345, 186941394, 773592840, 905741581, 631594963, 664173991, 270503686, 340091128, 406701708, 564604679, 450490144, 114379061, 692289455, 520417602, 764783344, 655864683, 458747326, 991475650, 81985194, 964947830, 79535981, 52222489, 431547248, 575108764, 494455715, 580839031, 836846223, 247111433, 839639098, 155280010, 987577551, 357763881, 803316135, 677175043, 534061741, 110555568, 402225595, 101245545, 584903374, 359481630, 436801208, 841677764, 774625396, 353949202, 622432092, 862244028, 516533709, 956641035, 262156521, 993641842, 894887591, 494988406, 435308180, 502212487, 126184386, 680207901, 950664804, 365343632, 179217307, 120170478, 468602970, 119806436, 893119739, 937981712, 410669539, 503890205, 556513152, 772495378, 861904860, 312039747, 147818511, 348518600, 350928667, 821803495, 331540952, 322036758, 921683957, 252572236, 928944123, 842500201, 390453284, 793668457, 500184602, 9159102, 753614702, 155303542, 397739146, 663061359, 630250507, 154844524, 665978369, 415364063, 361103696, 686308792, 992169347, 641021828, 200573798, 128881871, 904151778, 110308868, 365017733, 507713337, 204336521, 288721272, 228366890, 485287135, 573434176, 633447792, 396553272, 366954688, 869603753, 569891912, 891119050, 356937369, 582049329, 955289468, 350500745, 963548576, 408978740, 147135909, 185386174, 567433724, 47076786, 285927185, 335279470, 637760856, 49152532, 145826676, 376582132, 21623559, 689378117, 476563805, 892123458, 996305259, 330418329, 11110467, 568605523, 979703399, 352663274, 911370165, 250801747, 637964410, 117867343, 673985295, 929958206, 376792683, 878192255, 928022992, 850372418, 526394119, 197011774, 786804199, 963649209, 261397347, 482492826, 752331645, 220340807, 165346486, 337104740, 919836091, 957840940, 321730959, 427914886, 933788775, 568069431, 716498802, 247213543, 640914069, 938107795, 305818259, 42659700, 46834563, 103810680, 238358164, 151068718, 486963496, 76651562, 771294677, 312071605, 562221750, 227882320, 796145732, 323786331, 263145416, 506017227, 962610919, 601824209, 323570436, 822643480, 931127127, 211184262, 420117361, 954449931, 619369427, 624727355, 790801172, 125399136, 479488557, 695648444, 206954400, 120238918, 186105244, 674965280, 598226841, 62839372, 366321901, 809403099, 151788028, 29828382, 824258489, 523918561, 565076286, 830930592, 233248570, 565495665, 306171271, 996475249, 256039483, 70600319, 420934999, 981670081, 8561225, 940251235, 204130644, 712809900, 888411709, 904047918, 183383453, 713465431, 133428936, 576879755, 562042927, 356821453, 22903182, 656948581, 45649600, 450958842, 913354713, 737623591, 456356020, 245530062, 29704831, 143505532, 998807255, 408151007, 669389686, 804285410, 415832335, 623157164, 880688919, 776754266, 521076192, 188776510, 611939070, 959487935, 608760182, 712441131, 560490454, 915766307, 830377031, 296963387, 2036989, 661213946, 339983886, 52400994, 74768106, 413028868, 271803580, 828320361, 757694521, 708182170, 158705170, 881909040, 427996893, 195763849, 179602305, 573240358, 349230970, 903789826, 588479259, 933799892, 484457149, 526356564, 897505385, 896568592, 829017898, 986228821, 994145242, 729753512, 207567606, 795150900, 697401979, 310205794, 518157387, 716640940, 702054192, 671516236, 835593866, 132381371, 922394143, 854321138, 26641278, 288345548, 569562661, 893374739, 922607743, 560760422, 68922219, 593491543, 154656349, 107813530, 523257106, 489856049, 171030973, 502054854, 306364414, 990117867, 756757248, 530862397, 686477562, 124588275, 471703247, 901747005, 59761733, 529362380, 587252688, 433785550, 739420563, 980421667, 317777187, 188995250, 296011612, 48010352, 794090563, 148248120, 850233010, 411810006, 463622610, 872368977, 403167054, 897446352, 167143701, 56116635, 894842726, 178700708, 789743111, 740621723, 31207345, 771566845, 159251234, 496034505, 831346329, 413623623, 114963052, 465233827, 148321755, 889416968, 358079469, 351954485, 827373390, 780336948, 552298162, 655108231, 974548979, 945778847, 563473607, 700847989, 507783183, 96528717, 535239795, 284031564, 702200285, 528635268, 59587954, 414261700, 881936920, 500511905, 125619221, 14452663, 122964142, 114968247, 270172815, 310370963, 229891866, 262071725, 637728823, 467250928, 382605208, 737557033, 684354820, 792326008, 654361563, 111090385, 439900336, 136006355, 800655151, 588884485, 243071811, 615019534, 208566806, 248717088, 118429648, 930859354, 321678701, 760322841, 907060451, 967500506, 319624540, 363529680, 91235816, 970634202, 430960463, 609416487, 643871339, 318696298, 888867896, 867763669, 148144905, 470112059, 712856948, 201064634, 438946802, 103123157, 469150263, 906209462, 946344563, 535191639, 443106913, 56152086, 346903884, 644151673, 875445357, 661009490, 989092979, 619169424, 949334297, 810873048, 170858833, 59653529, 359650450, 640326280, 428946327, 770837982, 634442379, 293655548, 551950508, 551648803, 834062451, 151173558, 333200299, 348647914, 984703426, 333596333, 858211804, 561851164, 806237886, 167165427, 837403292, 749805515, 628572576, 494655843, 366959825, 839488381, 840260167, 494138259, 297808612, 893194248, 124286964, 363891002, 809064066, 517963391, 885664494, 59160324, 754118117, 416839325, 195756071, 821439470, 548554567, 939357145, 552504900, 82440261, 258395798, 935624023, 71190970, 280790479, 555978146, 470172162, 34520064, 204587056, 778064587, 952790414, 561047196, 630210732, 619668130, 125507602, 80397813, 395822791, 383864227, 23378705, 51794298, 67750768, 850126393, 201855331, 697559359, 172025993, 905580798, 473186795, 183465560, 505883149, 684169657, 118418271, 230156695, 894857395, 163837297, 531074578, 559061344, 304165242, 490747400, 66485587, 596752912, 133742425, 965548111, 578236796, 903165249, 752435594, 130083264, 499875124, 123909349, 344388744, 599605843, 696168228, 614382534, 901908089, 633817464, 211154931, 147000631, 553776424, 324790148, 279178657, 839830495, 879237830, 304257069, 186748741, 210730427, 190599768, 748808881, 871865927, 717969038, 535978059, 358949544, 960218507, 855646915, 491743483, 487507393, 652488398, 832856949, 313311144, 587496292, 446265885, 688011135, 397385061, 106292696, 257239453, 579551372, 192128097, 220333209, 551825050, 130065547, 910741650, 129708968, 930890062, 757505171, 570922336, 172646426, 90858516, 990871622, 896098402, 805956707, 561337442, 339258466, 296588263, 682806413, 92324789, 774074227, 771763939, 625686167, 71789638, 798437213, 661455702, 603251630, 396815831, 452001521, 238577919, 453985900, 796153636, 906783031, 416360878, 942672055, 560502, 542954707, 482438181, 773470733, 741300610, 111450385, 812338903, 5487072, 779763712, 521666564, 12280389, 346882826, 703890662, 892551954, 485841806, 276850210, 338192111, 488328367, 168421843, 822948536, 729613428, 829563924, 459246234, 852975497, 566627607, 683708010, 181914040, 648963640, 373569200, 907619696, 959603391, 419968966, 532729869, 160865597, 498869816, 782302473, 587594814, 621310086, 297648197, 754826319, 345640377, 310014593, 627062299, 392186480, 943095832, 730178786, 895061623, 176584029, 325739235, 961636966, 987156653, 627432169, 106241720, 824381779, 322826000, 663212520, 191382508, 143179546, 354511491, 369913190, 498519639, 30149272, 65581840, 106236163, 546362796, 603742125, 202643957, 619040047, 771967871, 586954909, 947750245, 496980132, 447018734, 888802386, 177719059, 131630658, 339479359, 683315818, 593020947, 941283312, 194650087, 450157803, 154708017, 906223515, 633820410, 192202036, 158587839, 154610461, 726123810, 996168889, 483547130, 816615442, 355898710, 739000257, 393403002, 846198142, 654849791, 569102334, 937744526, 134765335, 18424328, 304817560, 251288947, 782041247, 429850178, 167653120, 373258807, 394422831, 736336049, 152983309, 571350204, 657407158, 992098086, 12961438, 908351643, 585811993, 679309305, 97255213, 204583774, 745869995, 506245299, 836960154, 555487591, 525265569, 486488756, 874064076, 460638694, 921352767, 806276623, 542884078, 189257429, 435177937, 225378817, 159190793, 539668114, 350660349, 48184874, 520591561, 613816561, 212351651, 509826047, 39636903, 884562169, 928474127, 441262243, 120548227, 862948313, 65028574, 169000667, 908836391, 507003960, 471285150, 143645322, 609493250, 135653081, 428437601, 684333942, 665367285, 921383746, 590323843, 776251016, 785630492, 815870714, 11467123, 352592544, 312263732, 285234175, 343326782, 348324488, 513995807, 508040357, 777113542, 951091777, 517402870, 637644471, 944922382, 413779289, 247968200, 458193942, 760291416, 354911155, 19070025, 245822249, 513088595, 649922224, 878634675, 209305763, 966250415, 840414919, 707248297, 399076743, 564099686, 854333093, 919756608, 634353213, 824078852, 849535750, 401876186, 673102838, 816261620, 959518090, 432870981, 455332540, 184490139, 629449375, 852594520, 316752706, 738688699, 553092442, 349366188, 631637879, 94590781, 830208458, 558025688, 455505955, 528470567, 430963901, 229802822, 244182196, 439885777, 737779146, 671349703, 107983419, 652183127, 737391546, 416694914, 46428632, 744839277, 788310232, 595752023, 158233343, 108187196, 552511378, 186119698, 659260408, 501758311, 499199030, 393224126, 670518502, 397048807, 234387995, 398680132, 611846997, 78383793, 659182628, 21093709, 300367961, 722045384, 791814408, 488517144, 890917224, 68187061, 438907607, 89337043, 352103997, 549214371, 884269453, 901155286, 927539970, 690032329, 253374797, 832515741, 515976604, 163779925, 201216582, 389580342, 541121509, 410349594, 531048127, 334350789, 720258708, 792356343, 739896567, 618357999, 352294268, 503518160, 821392572, 287431166, 639545430, 823168314, 307026971, 966037919, 985764237, 663108584, 553757560, 4341109, 654407770, 954935272, 779844989, 415830439, 768315642, 897167108, 643785475, 701552621, 452427360, 136436555, 673997088, 5673621, 507147925, 887886829, 263805579, 908867825, 117907310, 912217052, 153272806, 533464688, 418640017, 47692837, 673952602, 828197198, 512166334, 917227558, 438662946, 922889933, 630006721, 351249583, 25620101, 530276902, 917186543, 315126802, 126514347, 113814093, 953302838, 702023834, 276009714, 999850003, 84936663, 980757889, 118496758, 96832531, 35006274, 98031213, 645877692, 274448458, 249276093, 901360431, 999811172, 416265247, 324407250, 642950723, 779514959, 109209382, 956064847, 890077781, 835471026, 552521145, 608006448, 708261921, 620556702, 799844316, 358486079, 156421274, 30417672, 607035688, 265397862, 102458493, 269667822, 557036394, 541557777, 244576739, 475796991, 569363308, 889695654, 867259509, 84250926, 93710115, 869415849, 894241356, 655955794, 472635026, 997531599, 122565270, 18211049, 520911932, 905844007, 751629009, 940338956, 394678858, 191786217, 891650592, 561719551, 246766857, 400880546, 19054753, 657343654, 223812333, 5327902, 980713553, 780899248, 416005863, 767432963, 195441645, 156857569, 110345834, 254638977, 299710109, 718578167, 462314951, 90950307, 705040222, 718547439, 675497988, 793203853, 58165013, 135082490, 860633973, 675021861, 740961612, 244504750, 692729671, 468810569, 10109869, 842043443, 208593884, 545852697, 989034248, 315788225, 773137277, 214306982, 43924390, 270620929, 676584667, 886907645, 753864983, 522166492, 506755685, 784738470, 741146812, 509200737, 328194388, 88330115, 292803896, 794412343, 422253090, 497676400, 609502806, 506957503, 307162290, 338393498, 238955057, 464897857, 9694983, 965916061, 196739682, 89313150, 3004774, 239826176, 737832581, 467400795, 899358846, 175774063, 357574465, 308026850, 735716002, 903304201, 756325246, 712610092, 753421336, 572457816, 407334489, 513276442, 591742398, 65595398, 775233155, 277614544, 915039191, 423511113, 332840832, 246296063, 447620496, 94940561, 995227741, 496127760, 436546702, 261708418, 796785121, 776619704, 385831504, 237024445, 379006253, 615113148, 928527371, 137709036, 507646028, 866111104, 809146548, 287901617, 215293975, 778568726, 509014195, 670853524, 112504188, 408585370, 671621569, 333434837, 477713799, 454529581, 5370662, 116442963, 721220380, 591491209, 924975630, 133659786, 510852096, 166115606, 648294180, 554479298, 466658177, 769317744, 641486082, 135091669, 496606687, 253936845, 209103798, 368281422, 299719982, 492184935, 694811018, 765015080, 971255649, 166119812, 466964229, 961273385, 20871786, 411511297, 552979442, 142939488, 905178983, 848617703, 452660138, 431610392, 877581622, 400937345, 239131087, 761645203, 206895154, 567547753, 967073586, 388435628, 354141383, 216956207, 762850121, 986681408, 230323688, 796452571, 634270763, 688156504, 96756363, 729054437, 190678546, 632022567, 105108485, 473617091, 68715423, 991648071, 631205371, 737509449, 641874860, 568267702, 916151757, 578700538, 848478409, 38787185, 724873244, 511872723, 863872680, 945395930, 83787482, 526760120, 247728070, 632193527, 822121371, 375492926, 940763459, 306466361, 768653638, 422711968, 45470795, 578942469, 354096470, 258505563, 27777715, 197001921, 533814782, 398435349, 183938499, 879391393, 940201110, 557143784, 883292710, 973351512, 985184330, 975263815, 166613410, 801898611, 301157163, 646554907, 820764831, 268915697, 204757494, 999404135, 38573352, 376841334, 634703713, 407423456, 450646831, 315309115, 802168357, 155103734, 280227435, 916413715, 308180292, 54497083, 550978914, 940932120, 579322972, 412803393, 774269326, 618765908, 185336042, 595824003, 52256028, 61811449, 488024852, 460020474, 159743991, 319988881, 191001741, 124442620, 180311571, 341723764, 342368399, 84083583, 960114977, 483375440, 528859630, 713035442, 247954439, 889409403, 798369251, 874593304, 969607915, 873620638, 435904635, 96887427, 307035768, 876756406, 264823780, 820821967, 316659616, 268152011, 264436824, 828499712, 689920431, 648245366, 432276367, 384883299, 95891726, 123185057, 134964946, 479664032, 837568046, 156487816, 140505009, 489429671, 358604094, 322048270, 633341553, 890748396, 490526790, 207662437, 542484635, 236881541, 791098454, 440470978, 809597047, 119227929, 438040740, 918264969, 478505930, 153444458, 846128046, 570264549, 12757834, 93213380, 239466018, 901428185, 478247049, 767773274, 779997665, 663161874, 771471076, 131889902, 224700295, 69119347, 778928446, 290242546, 220900143, 482641315, 392016875, 763616911, 307446367, 445792133, 513363104, 617136989, 317775920, 94108073, 459462138, 424824665, 671587024, 885870674, 5592035, 73326943, 477918191, 376921053, 825545330, 938804136, 169523479, 729047496, 401138333, 653464787, 613254213, 171141043, 119499439, 763029052, 128953891, 378321681, 353089455, 926769273, 892390362, 384029967, 588075542, 291319894, 450482607, 507045341, 416652315, 14235798, 927248119, 964387930, 341778092, 4904033, 477206654, 109448714, 835864949, 666848687, 396743099, 701337638, 686843627, 584688755, 349479095, 714769792, 177900476, 485779600, 631953196, 171923259, 958361803, 512631027, 150462729, 892102100, 28933801, 863566214, 951235275, 965690567, 895773752, 783028928, 340202823, 913990755, 409521785, 172941467, 385400663, 110651598, 280524662, 122608601, 786544557, 962861710, 28718474, 671267307, 582408860, 777627451, 815655, 410762244, 936167693, 21293175, 57274010, 824173919, 764743855, 107178466, 876948704, 700565135, 781505695, 160910171, 630174148, 947622828, 507614358, 705702577, 127249627, 166417060, 608983170, 338602556, 315245071, 539682467, 59545020, 423306346, 970391448, 188865159, 850461178, 497493975, 713392801, 455568205, 442393343, 964623111, 420466744, 270684487, 229662437, 627542146, 449569012, 700616169, 784079762, 784476723, 549122327, 875263267, 632893451, 717304143, 823918420, 897147431, 869837697, 598343087, 719174759, 261978601, 586407675, 687071631, 409504491, 440626393, 168886132, 698812644, 887132519, 635195208, 634119601, 835153244, 652729070, 593048275, 436878393, 889655075, 833193455, 634255664, 983289239, 556158646, 653060944, 511327498, 198467895, 791712181, 662274973, 160275673, 784671161, 145517634, 857802443, 532841373, 695973673, 860631939, 320610875, 913535410, 594354554, 453333644, 745933056, 940736039, 109686413, 678024881, 889495964, 366855229, 705219429, 595221998, 641103846, 223543494, 526865776, 533506606, 454031750, 54499518, 677290520, 824430367, 221693726, 465248439, 172739941, 469658795, 68130181, 313005342, 442091731, 359210851, 299621555, 356307830, 22295235, 666305576, 622266923, 344337827, 165658509, 652037495, 501550314, 934592887, 798490895, 872132761, 747609964, 238639496, 840817221, 783231998, 877167674, 544220997, 243625454, 729401512, 478359033, 756615423, 391641029, 856482511, 227861057, 748565064, 852915328, 506612224, 834752900, 763838429, 338202842, 814912124, 591892372, 128661681, 934094994, 756575064, 453721288, 88422906, 635602321, 338334357, 239223545, 337092972, 476671606, 341428223, 137413326, 139131672, 892905220, 629364019, 849091202, 236790266, 329505574, 444460767, 20568624, 882248642, 2571008, 508417123, 531777958, 98515365, 899558091, 366851045, 375500438, 823336369, 185072236, 716367241, 879425602, 843030322, 829922287, 570456585, 549910778, 936616715, 339764094, 802778611, 479994705, 258167503, 211609914, 354193638, 361373432, 208127450, 669147958, 826210833, 705612307, 736094989, 832675084, 251454220, 141879804, 317138609, 107638312, 478012147, 272168494, 767578279, 221529469, 781754373, 105813015, 130798478, 410968860, 80185502, 625617539, 601848511, 355838495, 832857246, 911703546, 133411427, 469568635, 560925770, 900330414, 351548369, 3521477, 566349368, 648214794, 105609513, 138052287, 527544571, 458921545, 899347973, 669011974, 213036557, 337997768, 651554644, 582237327, 369908357, 288392361, 931443119, 395666848, 634908216, 297400652, 53749325, 985362747, 849770548, 943471335, 577124761, 741133499, 411393452, 439144223, 411107905, 675931188, 319514963, 979596665, 133022527, 828349289, 730068827, 440525399, 199516636, 286611426, 95976589, 571025998, 756915492, 197932383, 875148110, 222987792, 831159435, 348355885, 460891660, 206218143, 402871479, 83813266, 752561462, 709600121, 591353859, 935833269, 571499364, 344470817, 161531517, 157660765, 574147021, 722194645, 474544377, 586479999, 436254832, 963581782, 83386059, 364675001, 924879790, 892140219, 734061755, 63714833, 640144659, 561489995, 538224973, 98611417, 980310766, 83939986, 600038470, 637359607, 847434528, 797840770, 435045202, 352724430, 461737152, 225529477, 658663412, 525174222, 232830628, 239013097, 389208690, 862778801, 699304414, 974103199, 850857442, 102390193, 350817921, 19769815, 831552803, 300288574, 173333411, 329164610, 900841820, 799731376, 72906687, 281409880, 210822534, 773384747, 568208095, 98368083, 311027377, 772054171, 111607737, 998775245, 877965950, 290733275, 232324037, 511912666, 251004446, 944057988, 451918023, 823202324, 299577984, 614092414, 260429315, 182788002, 504076169, 487777101, 139161669, 28978957, 275264637, 225898355, 872101988, 716323700, 373421581, 253965309, 492186536, 266040325, 520337995, 770388705, 568140945, 647065312, 476512940, 700480455, 801498179, 802126142, 373571515, 309139971, 202957657, 793611974, 668845100, 524851603, 525580314, 795396431, 331495802, 947593319, 278941415, 46460631, 399495589, 869969661, 663459661, 660089309, 220427491, 76170475, 710923557, 883978192, 39378973, 791513838, 501692383, 665566328, 314670657, 873162949, 787055985, 989856616, 461642927, 756218097, 673134320, 550646990, 167978831, 50225130, 297968503, 261024236, 901966420, 735535302, 480005979, 454662903, 12284259, 332989719, 416696146, 515271406, 563878313, 632374245, 161487509, 839853148, 463756670, 640148867, 966165957, 983734178, 110418001, 929665664, 979457566, 756656205, 890679259, 166761221, 284327074, 548143379, 376951296, 423301823, 377083143, 394729917, 800172293, 150773581, 682562039, 426895370, 112219566, 762148519, 373765500, 620985558, 932118422, 803436498, 668130678, 532541389, 212465492, 435215084, 158206717, 41537335, 503965950, 458891305, 469296292, 991983343, 495971328, 233501683, 350615076, 505237700, 324847168, 326165811, 366364368, 240129627, 432376761, 388043699, 152534796, 643603723, 350136296, 967140723, 841749929, 768184502, 616739699, 570309872, 644191368, 404157378, 659097853, 776551810, 761009548, 881778884, 182658010, 699473127, 287736986, 529659709, 150145514, 987664547, 574303751, 742069178, 374237709, 500672267, 124880668, 3895767, 906774767, 866389653, 138466184, 205044671, 405986188, 381495968, 839167681, 79512218, 774735974, 852403513, 288563692, 132985625, 610694726, 142589782, 719163698, 647984266, 245202702, 394953902, 685589902, 370855310, 868642456, 365302141, 763344079, 995595732, 427368759, 55261273, 107112901, 288958615, 793074691, 324769595, 605602454, 518650577, 283481077, 425786462, 163353996, 889668473, 680023596, 820601010, 902353307, 234537997, 527015514, 374605913, 909696535, 784238847, 731923122, 248043141, 677813857, 535241674, 89867068, 470820513, 660983971, 402715209, 29077263, 507950105, 726730471, 214534764, 319835341, 477215941, 141035693, 271594671, 914200369, 48468211, 906995098, 801984257, 213884299, 976741911, 46407092, 644929628, 549347332, 410239912, 257511055, 417214772, 276780936, 567133738, 528754063, 834563967, 782074958, 910072082, 990358342, 830481457, 179270087, 359905609, 367251770, 56166012, 606347880, 559912710, 813222551, 44867473, 501168792, 766627230, 831638985, 166917183, 422896387, 235070050, 896975975, 869158698, 815216959, 438560061, 130190749, 215614604, 4124245, 210343113, 366385810, 500362783, 546193836, 43215051, 354975937, 726436418, 464437300, 659492013, 629558502, 173981846, 293171207, 638219006, 758724823, 23707600, 92011142, 542868481, 785832991, 45514816, 993115166, 284210122, 749322879, 386815938, 173410293, 264051670, 613763945, 696895445, 15086443, 64848866, 379968600, 197006680, 575664811, 328013895, 629264989, 538227647, 335517499, 361906969, 39427217, 283825337, 280275181, 952971143, 933337508, 706756096, 324166706, 271803859, 12504750, 19974332, 515570230, 250913556, 815366834, 901619452, 733106703, 568882338, 899483463, 390877069, 459953931, 85464906, 40505771, 624637120, 600674771, 626360229, 703887121, 419568224, 887163591, 601770453, 362619547, 826548447, 902137712, 132411985, 392301499, 22693515, 900769122, 904717469, 258760463, 693419132, 813690628, 393283760, 980872786, 769697529, 7937261, 343331663, 922598235, 959059855, 1919403, 905020291, 19537029, 447824694, 83576387, 210872580, 663973659, 97492767, 725318255, 761211030, 633397170, 673517225, 722515686, 396391501, 884040212, 483029354, 698317665, 681204005, 595415319, 698137425, 177041382, 385436595, 280657591, 786395036, 2316314, 555354425, 792487712, 522138828, 916373268, 978168103, 387366474, 606067889, 346962517, 288455207, 434297148, 186368362, 197930681, 978842432, 667898252, 425053863, 998275141, 935434408, 679017407, 526532744, 730682128, 588310224, 943028887, 726943702, 252340066, 950311849, 278960048, 182604689, 294114584, 149733440, 817520121, 646833490, 892135119, 69643032, 56898201, 40576712, 669412734, 397277190, 369002984, 250542402, 790687183, 264087273, 763015285, 619169001, 102928930, 996378917, 597315401, 775457810, 754194205, 692156911, 47229571, 584486795, 773461985, 473015636, 936723381, 770321978, 540594278, 855737579, 273731821, 19532456, 892209266, 930374199, 909484189, 226589693, 383606382, 437484438, 843353235, 180493494, 31074068, 987150103, 109152981, 239057981, 598176220, 578931775, 234123307, 694403138, 306927010, 86457531, 378027192, 678583736, 5740535, 462964852, 348471064, 863947755, 848364515, 781597259, 831935021, 970199383, 635344115, 407028321, 353130830, 90394691, 396530676, 816815406, 225421591, 495857643, 425141262, 844777245, 883132238, 165644105, 721002174, 523519010, 613006877, 791405040, 435038744, 430961716, 122223148, 773057392, 256979920, 562282275, 584839368, 222147190, 462961335, 445282659, 889525558, 708163082, 469537945, 891079184, 676983051, 256831379, 789475076, 152130578, 390325827, 798509711, 913740661, 811225104, 796351248, 477115385, 492105962, 684710404, 863057899, 489858720, 261062014, 16651325, 650920130, 394698582, 583075511, 131654334, 258869183, 465821411, 23269182, 763520875, 609521671, 939510917, 289960770, 45407208, 404623837, 971876729, 462397213, 619086302, 137987189, 902988465, 525576516, 170111880, 341656179, 905167467, 296019775, 430806458, 124363613, 978768218, 296389170, 627958005, 655964770, 625535984, 57425965, 93792867, 338947882, 114878362, 5171519, 242232656, 961163740, 260187243, 719149499, 221099926, 18403705, 269041831, 656151748, 229891540, 732777824, 964511683, 637028398, 878686546, 944145878, 402865511, 228019652, 169845547, 902352984, 958848549, 136748122, 959990382, 858140713, 294707128, 808418969, 334308342, 619928447, 328306850, 206451800, 435844773, 199025214, 541064359, 608019246, 925333268, 935604288, 500138604, 178924976, 368030885, 10904453, 367798779, 833833859, 372789296, 578207504, 112243667, 957684036, 513861505, 490140794, 762123701, 580727665, 983475088, 203846221, 226295203, 857727811, 820680867, 937536681, 433470260, 133424480, 563296038, 883486664, 431336871, 698542386, 685988732, 315469180, 957608564, 785674739, 445441879, 493439907, 635363348, 185686736, 720903134, 858079057, 96434374, 152021295, 126247417, 32651113, 93927807, 628227467, 175462847, 243278476, 387388337, 648499160, 141984621, 111421223, 588802843, 390372525, 871820060, 346368767, 318827524, 655329735, 2195018, 587284148, 846630632, 153270631, 588787264, 985076680, 795219954, 142664243, 414751783, 248276241, 756905909, 928698281, 72399084, 194373370, 264953813, 416751469, 61085048, 890921461, 57132686, 711153362, 796513629, 677622795, 883069101, 672622034, 954107116, 99760828, 300793912, 289468788, 552532652, 562657521, 974619910, 774845487, 157253812, 647097364, 969379611, 311838174, 313707515, 120493140, 78926016, 635465380, 696466420, 90732205, 8698593, 630052446, 298132652, 866913630, 366665770, 253077527, 594963777, 33381794, 635610504, 912902194, 187790098, 13181142, 541206956, 271446571, 255186211, 377768255, 167632508, 960823115, 566820915, 947274340, 533524180, 400013185, 828498796, 844880261, 503856382, 811938466, 40471060, 441452474, 280082831, 289343636, 400023726, 347292226, 500152893, 72150792, 615694946, 942066479, 211687170, 377510665, 289756261, 767304154, 553143144, 100544804, 908776349, 470657665, 127555862, 969747043, 10811584, 558683526, 391023227, 475245702, 334884370, 325001973, 577926949, 140909008, 827958606, 380865224, 517730849, 709616434, 177758485, 503019056, 124227149, 478856898, 227518239, 705353873, 525439791, 411567454, 151569478, 795451578, 519095346, 904421715, 953643655, 308959187, 965124903, 688599845, 731157625, 464700355, 932882395, 51431780, 67243725, 976739293, 552289707, 483784608, 423638223, 997563486, 696477750, 286648187, 854978098, 426837814, 827615551, 765239623, 842543176, 796591735, 838475420, 663292186, 610359737, 92664276, 31702427, 805248607, 155698316, 510229788, 549029033, 331713383, 306752838, 383545415, 302191626, 657284313, 280973126, 798862721, 308014264, 546031856, 517670544, 835865675, 701829425, 322029157, 81065154, 316495571, 54696325, 571191728, 5335867, 774691108, 40169435, 422519406, 60176515, 137394853, 789526718, 178305649, 56978192, 276222714, 427710483, 785407383, 418437007, 349364699, 835961586, 758701695, 771421772, 171920640, 399299845, 732219075, 42585112, 533779177, 783914356, 683015857, 316681019, 586329111, 715464328, 427082179, 11190868, 95455382, 612905135, 874129629, 526335048, 320810998, 351780057, 635206482, 146182981, 429273595, 895552847, 945921268, 677471298, 850503457, 88447012, 929712058, 302782058, 123955111, 732722521, 544950426, 226810990, 580817476, 684829679, 749592241, 542967851, 276411972, 898650506, 793161611, 807966269, 768820571, 284075625, 695522401, 956821185, 800125006, 75055031, 962932811, 26257358, 80251680, 769088021, 382052572, 678934760, 67420375, 874657805, 624688366, 605732326, 262265134, 925645698, 236270829, 110507421, 157839926, 59592681, 155890635, 188670235, 905843758, 754823048, 495026555, 176336234, 406142975, 645092306, 508933605, 242592364, 461092820, 825810846, 303658056, 960080476, 617869252, 482335596, 773025193, 466273659, 320307531, 95279953, 189056370, 501860144, 342617327, 306819175, 910836658, 169119665, 89516117, 895225223, 12007320, 358430892, 586190485, 34417219, 638866076, 591577651, 689244006, 26783403, 289046137, 825841765, 629605311, 887561206, 801058514, 764608296, 29599168, 22793186, 76735196, 79630950, 916635170, 263769362, 414568114, 464321917, 555397290, 820506634, 599208628, 96125595, 837792557, 707460949, 145540672, 352971819, 301603880, 522763502, 630935117, 927920989, 358939256, 464416006, 12854451, 838932152, 508239258, 148550208, 787821103, 493639467, 637763841, 398216541, 38732460, 494347236, 693723097, 77670697, 829696252, 226394751, 398827822, 620096317, 702277404, 377061960, 998901179, 311781290, 926688238, 761938581, 168791757, 766104021, 853691588, 773220657, 80636913, 997136156, 131316170, 837945065, 777454145, 955250471, 206075619, 979603247, 602643111, 500562628, 8136657, 362669890, 221957051, 492119150, 306144364, 30209899, 372451582, 856509579, 981398285, 11873727, 129049984, 974545956, 767929296, 475089603, 971886003, 511926360, 666866138, 855353642, 329926176, 219767328, 828070180, 422730265, 538056525, 711541834, 755512747, 979061006, 181046924, 322900187, 631351012, 600859123, 922706132, 798202824, 995404606, 310006911, 113307031, 974826372, 399919881, 20313367, 33632615, 741326540, 59387850, 432455066, 288671896, 97294062, 952708180, 206269297, 154657796, 231798498, 983950362, 416289491, 902831039, 615891540, 736329339, 276311493, 582300027, 724483915, 481157662, 158852983, 865733829, 28735187, 401607252, 940300393, 787883183, 835677038, 228773236, 634745171, 269668947, 780369317, 870560943, 419074246, 71220731, 768525566, 891335333, 214352838, 276461321, 691279459, 616134541, 504765210, 465319606, 381452371, 820450842, 643125613, 440816707, 373300518, 564389399, 218661447, 837758997, 222185815, 148685957, 335676136, 418487888, 709396918, 673791031, 469040997, 393649286, 832903243, 258130257, 973015684, 13234322, 811236120, 938049459, 945373125, 979729847, 762266503, 996917742, 964824262, 903329751, 529617363, 747599218, 990823627, 798390823, 353805927, 606445627, 584897498, 387001101, 902911576, 851679362, 948614433, 698723252, 242731621, 378798416, 182066888, 371213400, 999429233, 810646541, 687345911, 358541628, 787914706, 727608893, 475076882, 522033594, 13058470, 699360716, 865049020, 561198955, 648696344, 693576436, 799233467, 912461047, 709722394, 639739299, 856911528, 923166831, 615281606, 845987592, 740301524, 447244682, 309807842, 260895942, 777323689, 411645852, 105481718, 492880528, 56828371, 984487423, 939469865, 109854138, 462641880, 302569297, 753631886, 357492955, 791134853, 974253624, 919872955, 390245348, 833402767, 607915465, 419993766, 869859578, 255888493, 645972826, 614822923, 861496743, 453939774, 652327063, 636692058, 26961949, 393348929, 577208754, 570384349, 915464008, 555603908, 688080143, 739867290, 278667745, 852496861, 340240289, 274799760, 834123553, 676872267, 873358572, 747351498, 542857304, 877843704, 646459977, 316765278, 13930173, 634453191, 776784081, 515900594, 513100554, 391542313, 277921695, 830225473, 785380638, 271857327, 70542421, 842102462, 532670509, 818649580, 751543355, 121119619, 161668041, 67271312, 11587448, 746697016, 5815704, 921711072, 455808595, 611623731, 75143801, 747708738, 359458004, 289588999, 300164818, 7218314, 576126946, 355454873, 134085123, 568227460, 266095195, 895382647, 759100076, 186887897, 503804915, 698444275, 1303338, 452137144, 946822488, 956402565, 888320654, 971272546, 463405661, 985436841, 316483605, 483563761, 999417010, 409158569, 298782710, 270977266, 942134475, 934408220, 517190036, 468709465, 333404333, 403664744, 47084799, 36330309, 106144999, 266455191, 626970100, 853603880, 720670490, 111144959, 892912098, 233179826, 951407546, 484684930, 816685322, 14403859, 120167585, 100472012, 901721526, 905717422, 497610121, 245786690, 971912593, 595550001, 619178743, 651303552, 414328581, 532041263, 94258691, 652679665, 86609560, 271816928, 768918537, 506849117, 883072504, 159342653, 738381828, 807797342, 65167708, 579130706, 92369748, 194340084, 446759947, 154870070, 588974633, 198917824, 884453032, 911739598, 905587893, 27199943, 83269458, 209921886, 526370086, 195582269, 576265621, 579569864, 813758183, 688907048, 883112835, 679864341, 818278955, 58846261, 614856158, 847048235, 619491944, 466675950, 78789834, 133330722, 85048607, 412694965, 308957872, 916326502, 249420990, 27464433, 96548839, 52867228, 482257041, 25450655, 221395468, 331777688, 691107656, 256088944, 713890515, 651776348, 101440838, 566785316, 777461547, 228634008, 695324295, 970362837, 272266352, 776084922, 368279583, 306674439, 393434752, 315185721, 714747355, 449158848, 997891749, 575699223, 182930309, 313694453, 797437133, 292740822, 95560805, 489825763, 259806195, 529647674, 747149176, 957072515, 930826218, 679585112, 674318242, 761725325, 398470022, 108923066, 45358222, 257001088, 488737298, 241332224, 593950965, 438075066, 535411989, 518770077, 337421363, 690976482, 317299601, 229968987, 531544099, 477972526, 342858643, 90204496, 319804246, 161933161, 363480956, 631723618, 735494831, 500730910, 725016895, 237396589, 52731275, 613024988, 394139220, 69800914, 333125088, 74275999, 776228724, 933703839, 895745222, 666202886, 333351230, 515288710, 260228570, 613235948, 784408227, 920314402, 198983555, 883739329, 118119155, 1314806, 655870883, 170317759, 71965625, 29859368, 980426024, 25680078, 17978464, 107632410, 750798799, 434375292, 979585387, 167394995, 219295896, 441210394, 598073505, 629489128, 503029683, 872587973, 10702330, 798126599, 921818727, 979236600, 941612281, 710758608, 924291445, 976743214, 89713257, 265059590, 981230401, 843310683, 520938987, 291592371, 904386679, 319001396, 113607103, 725847323, 589987618, 794694413, 734197838, 167538740, 64441325, 613554745, 177713860, 926939769, 21763073, 557309378, 199008331, 254922143, 225195101, 421981080, 498384076, 774473617, 331234859, 865283235, 934930609, 905353017, 963705139, 651484089, 210724854, 423578566, 695541503, 17919456, 545249524, 65238734, 765457386, 327660920, 792104583, 646752630, 357839751, 12591903, 226954702, 768422548, 58765345, 956916646, 726903987, 211954004, 906500141, 106154614, 54748039, 414414390, 75149149, 972476262, 989209927, 330668258, 843836362, 320977684, 748846096, 44580453, 190809275, 978596989, 308659624, 275412907, 147180938, 547647937, 14690205, 806866898, 359958094, 56971225, 241209220, 112855212, 937691826, 538654852, 525096766, 620049389, 782660260, 720924466, 44559752, 714797745, 165733089, 546450930, 549937395, 986113491, 544164994, 839487137, 627292386, 367194578, 746782920, 348056578, 588657227, 786724684, 303346008, 226967049, 134363643, 524851289, 465256257, 391600851, 271816188, 415848525, 211445857, 346962517, 21379632, 347435685, 486524888, 751882964, 937956734, 368700789, 131983127, 287061992, 603820209, 645783901, 644259818, 670100040, 99107159, 872760311, 660081346, 667370232, 790345479, 306882574, 641444723, 82647803, 302909309, 79945067, 84803397, 968793904, 607659918, 492556144, 14697269, 964087087, 479901140, 921061463, 506497985, 466313742, 939127174, 814641983, 644859558, 657951941, 302252831, 236052260, 75297976, 579992712, 216630676, 479175455, 227724935, 734508726, 269402372, 132804373, 843732932, 672970359, 740183346, 819894740, 792788794, 272605491, 172489088, 978904410, 124025700, 764626958, 771078826, 930171120, 791434755, 905572640, 784788972, 944670367, 857769900, 839261637, 9594810, 21603400, 505674287, 880593418, 154019928, 521074491, 882577849, 456519813, 564021901, 393284413, 897061608, 830248440, 848871373, 583033859, 910679957, 791147321, 661202118, 339367669, 936626914, 59929433, 341109252, 157560603, 435863277, 577447333, 362128643, 864945983, 62389073, 756117584, 116578963, 181681040, 283250950, 693510016, 467333107, 575079923, 456568635, 16637679, 868389577, 463060698, 774341709, 890428627, 639933602, 208317379, 927303711, 183954074, 363686409, 722445291, 990613859, 623663050, 842011954, 218863088, 835816007, 715297021, 415331564, 789388359, 157484509, 485540153, 242294939, 849829400, 650545651, 710009614, 915979997, 151580704, 550927066, 298886974, 268424250, 369925581, 613571583, 499664023, 177851543, 52654554, 533753285, 959813892, 979201252, 777086219, 551576833, 208673905, 503915585, 353936619, 889404925, 272324092, 389528009, 999839191, 130872116, 709319892, 720091222, 353658467, 778246500, 402441242, 774166153, 736775515, 743919106, 982160236, 491154165, 506895893, 303042686, 943607163, 373677820, 587497446, 988628839, 227282748, 397954754, 15411863, 294599943, 480961678, 910117201, 904592286, 562812227, 552283067, 399829815, 574944305, 968694116, 965843832, 438930486, 5022343, 622134929, 76748049, 289234571, 836609726, 490012629, 329161652, 402442218, 419370560, 633737295, 521670862, 169724533, 433529267, 438529052, 106417334, 985734045, 114258302, 481620854, 166219356, 371301632, 615858922, 933295830, 880654542, 253209112, 881361464, 625265286, 39978427, 50074429, 455650705, 702022074, 984694110, 417789802, 289604331, 932424707, 241747896, 141277632, 70220177, 220028656, 545508748, 596462002, 744441721, 134043637, 195322384, 25789241, 122717981, 940299381, 68797754, 152668259, 537168582, 728233051, 582947482, 430997905, 876347615, 783872679, 900688430, 686403473, 561489812, 261083602, 627666963, 360067110, 571831207, 855971387, 188388797, 483195833, 755508928, 828663106, 471012789, 630524989, 427181794, 721394201, 209847638, 427365252, 503702343, 409903443, 298212081, 855741865, 655035223, 25376517, 528058808, 238829521, 795865551, 181357024, 400686450, 459670441, 923810071, 485069576, 751147503, 306231269, 708371113, 395848307, 415192636, 155378765, 920821998, 727464757, 147474184, 316956777, 170866426, 475750867, 446648156, 492020672, 800674799, 808868103, 364409530, 3958306, 40209234, 701370673, 243272041, 796117332, 270193136, 357124494, 235125490, 719232973, 965881857, 539054508, 236818300, 347858877, 895479324, 184256136, 988041309, 708220281, 810150827, 74556832, 6939617, 534133939, 124645090, 694728504, 65087308, 465808815, 632306117, 679374238, 856748840, 129155688, 684330629, 989716346, 291947844, 358112382, 698410832, 477052622, 292854700, 909225836, 760668181, 74781137, 116818899, 490232069, 941228501, 632429247, 744394, 875448560, 566145810, 498758025, 819964886, 225393135, 735342219, 400555715, 113323001, 293237924, 316772064, 447563558, 558932810, 3564697, 533368513, 171790746, 802073295, 289427371, 465765628, 674261253, 392922510, 813842718, 463625375, 634729950, 353043279, 34962369, 169243900, 442727126, 20373050, 571677244, 480462287, 200599331, 109675100, 303623931, 721862548, 853784309, 4944577, 908560390, 93320675, 613369062, 473647091, 643671963, 726017620, 835622224, 398190425, 829661237, 323183349, 195625860, 904370381, 789057007, 616104033, 236716704, 920610352, 721841561, 712525522, 275092143, 106962413, 748490581, 899509374, 958972274, 406645489, 25052616, 473566949, 987155700, 931655820, 523649957, 513212466, 515950560, 156447269, 28039913, 384141311, 123829138, 600887828, 560782307, 22521761, 510980104, 259179528, 399167589, 614648425, 696929265, 552834908, 273838022, 211669431, 815817727, 866551573, 384124621, 200703310, 489704623, 25068370, 668235513, 66961863, 991085611, 887680569, 167144758, 697311896, 394610774, 437419404, 957994445, 358944698, 373042858, 57888877, 701340018, 438154038, 371149142, 932365775, 536060517, 459232046, 762597796, 706952657, 155243101, 522378222, 273245356, 209992084, 880048493, 264330762, 177849144, 689318427, 934012886, 993864239, 499807429, 740397780, 450750511, 632216772, 927771836, 202940221, 591817134, 722388479, 410196766, 732073080, 390225839, 728967104, 438403863, 928231128, 105480813, 720316220, 236562869, 544055785, 855818479, 149351822, 984887029, 150670612, 906133314, 488738530, 390296853, 119336246, 514623874, 131943329, 43690192, 203360404, 639113947, 842272451, 534965890, 295759081, 616480439, 77866178, 836786394, 915754563, 981802762, 675768704, 451534341, 739295199, 530905473, 597794122, 717950814, 258732470, 997231761, 469133892, 166328026, 944491503, 188762526, 609447847, 352132729, 229717568, 50933973, 52107404, 958895022, 218752711, 816758689, 670653464, 644181198, 913228391, 254703025, 434939456, 228100669, 439175110, 708116522, 261391731, 171136552, 234530911, 366467989, 781924305, 435647087, 244213643, 63267264, 31182890, 880897696, 385314181, 719670585, 81492066, 908462286, 487802053, 927103466, 54505309, 177085070, 834823745, 129352465, 989013711, 445956925, 67370824, 218440862, 480616191, 769162777, 118639220, 890916187, 935750445, 481737372, 920077038, 294698869, 340130919, 757580753, 363912144, 44550535, 710447917, 752911899, 308464902, 15700549, 638002560, 495935540, 550044614, 519258823, 521152382, 20324966, 984783720, 135293298, 602170815, 61420738, 438325217, 121474002, 651356725, 24127248, 620011059, 25312717, 493272641, 983592838, 74557504, 166134329, 674693831, 538423007, 434482138, 552562935, 206016947, 138071284, 371965062, 549566018, 451140067, 900989560, 282719257, 147398415, 126729487, 120236564, 616682248, 957243273, 948759948, 444256596, 404902592, 897860326, 111318623, 537865175, 32750649, 634111448, 337406107, 751299649, 819691915, 946985872, 265367831, 335041076, 955732322, 838399646, 496113106, 952002986, 285740039, 790711204, 230585089, 241288847, 355448527, 633000175, 802541649, 640093780, 24167048, 500482046, 234458890, 549515174, 993937566, 934446227, 89188743, 437857081, 960518490, 389456969, 442718180, 961459893, 627386383, 971024398, 713327312, 204100312, 244239283, 234190138, 900377183, 841120815, 414853647, 886947927, 327915415, 520874931, 537768064, 378724138, 975452513, 761247015, 504875074, 377911946, 965421218, 3597172, 565263980, 537549910, 407354428, 190388071, 712269503, 246353043, 502172526, 421925677, 512747273, 772314420, 682103455, 468097468, 283060185, 648346784, 950168035, 78384702, 841127759, 407692749, 942767286, 497855207, 448835105, 785583580, 141266566, 557765110, 855224841, 407384142, 823116158, 341599514, 446405822, 692074716, 502405962, 488605958, 989163663, 39428288, 770272167, 710153203, 949272438, 188756395, 655724788, 665025175, 499976718, 647830479, 287492925, 824948783, 322837858, 691005959, 738456283, 76231328, 507486328, 878875245, 353934955, 611748891, 438955820, 20344676, 971958933, 556348114, 340725381, 496845277, 294559687, 549563057, 43942722, 468526640, 858217904, 786885232, 145848591, 261269689, 313228810, 989409821, 430075305, 905869119, 297832781, 359364525, 379445959, 595696756, 2726833, 452026848, 592914836, 720360237, 194308220, 466199533, 600076193, 766694664, 910366909, 738121379, 640195747, 245597010, 837280424, 587520798, 888942319, 173502759, 294746105, 849782813, 660192612, 48578573, 904827291, 55085557, 830144991, 958920936, 556497803, 586509666, 946149452, 383633545, 634031279, 477406574, 516734070, 321834935, 407565383, 873020056, 587992987, 391621719, 53320374, 998811058, 311345890, 661240675, 867110328, 427974875, 597132106, 127394151, 765815004, 265110505, 577192060, 285153351, 278071262, 720568443, 539431692, 169076822, 238215648, 5740443, 691837132, 224527249, 235569528, 41001320, 77377328, 598688529, 87713375, 594345093, 558394736, 481718931, 846880657, 378559572, 228887106, 747695952, 501187310, 543035060, 529143103, 62397247, 564697662, 20730445, 872787813, 424627998, 501072945, 978349855, 12833325, 173158458, 601579657, 650316173, 114784390, 977536467, 329119273, 601258183, 886617583, 579320262, 609499062, 147310476, 645023080, 506180405, 96760350, 985688818, 532916359, 851826637, 62274855, 910759494, 160748668, 134048105, 977738565, 695727079, 30548563, 390162674, 606788849, 406069849, 598940243, 730228903, 481297338, 241549237, 915985251, 577612905, 270360815, 195567679, 67170188, 914533713, 5456131, 977573581, 321639873, 427348242, 191596216, 563982191, 837524761, 558081798, 953252855, 29027491, 928173257, 42992490, 883817996, 250513479, 344333921, 355774576, 952424121, 911423891, 142221050, 466870660, 363927635, 986778225, 898883247, 631158224, 60082126, 811347403, 152529631, 994786011, 937691531, 75861085, 750357533, 608901857, 460771829, 565057119, 432570642, 262872518, 10452929, 999752473, 177869033, 886100984, 30663522, 985468000, 733295601, 759210545, 527001400, 194079878, 730859753, 580583154, 225247840, 766801410, 720221581, 4072751, 468256583, 747025047, 298565272, 935422603, 268669804, 647612038, 410838873, 13516392, 216386972, 631567485, 196120957, 604042428, 996116555, 112813558, 118151990, 336710, 759272980, 961881335, 124730586, 681845778, 167967264, 611994261, 912366543, 212775663, 607317630, 186387888, 10923832, 874144781, 468210691, 375625472, 188499871, 581576249, 769920666, 84612058, 925243996, 675472295, 117876212, 895713389, 330159047, 308133840, 579766125, 85831607, 501641346, 896813213, 160657167, 139590170, 678350882, 133291121, 733853112, 414451096, 995059960, 893382609, 189394922, 256267826, 526169776, 446597846, 438782695, 253451589, 574791815, 718712556, 511814195, 168428443, 323179978, 666832649, 214626074, 354490576, 130268154, 589399796, 715357110, 682753662, 75626490, 856351079, 229911278, 796356384, 261247558, 367818390, 731885525, 751291694, 691868831, 319572739, 735316807, 877434840, 138812504, 35533768, 515384542, 887235991, 502970914, 360528188, 160272198, 461446063, 347001621, 624112443, 35083895, 433108775, 692834177, 816245874, 216341000, 28382785, 737984920, 620737656, 394148746, 718863078, 576723877, 862866106, 731528691, 400097419, 220553715, 827239768, 781669201, 323554380, 861587256, 354778100, 137537716, 228720444, 249634478, 840308266, 45476595, 619844297, 599321858, 642279310, 646378008, 687735047, 992088191, 181697420, 330987892, 222753197, 125301344, 399802088, 345945142, 131018401, 222824179, 418638153, 147577682, 47905080, 992285378, 564246134, 108985672, 284056804, 417116769, 850586089, 770060146, 433406648, 438705091, 860229778, 669974017, 85742378, 857751676, 18523296, 664766901, 297943566, 849637043, 962807000, 979472127, 703468989, 851080753, 476113249, 243971369, 690688322, 777808421, 301960214, 115572116, 747408907, 722406108, 850208604, 606039383, 330053923, 703967495, 428020135, 985752246, 774887180, 717392934, 278656334, 229470446, 791163106, 612732073, 138011880, 315413086, 846002968, 455208289, 541326271, 417040254, 362013400, 577536744, 253706480, 966873188, 379702951, 996205416, 627385760, 542794793, 667584290, 754538437, 854436351, 975254079, 142283019, 100574540, 624264867, 31738104, 457070578, 667475270, 494582229, 356437103, 325067913, 760791434, 244106293, 919564974, 194404691, 50046265, 96489370, 829089796, 373998751, 12969404, 606707597, 853275659, 870239786, 826955395, 443896757, 585546180, 378475198, 733977225, 518540753, 917889187, 9370279, 514452136, 326007834, 187250430, 348125898, 718608089, 571722957, 821378585, 361861733, 475149544, 331236168, 787964266, 927563304, 688448074, 53759865, 129088187, 904220414, 309868897, 482833389, 437055898, 834821434, 354956736, 679458694, 527256301, 966173999, 423565759, 501328355, 674483039, 855559115, 549969944, 643148227, 118819534, 916601744, 426253736, 938020567, 216591235, 884291550, 65619928, 365862701, 977157042, 839112138, 756016511, 343617485, 859319468, 574183795, 553885439, 231195067, 13204058, 477411580, 170034361, 95612755, 76173611, 987347040, 543194069, 911394337, 408910208, 44793880, 911251151, 566327505, 964427343, 224743517, 382048904, 986245046, 991957518, 482079118, 730654567, 573922023, 934115451, 544953326, 360586088, 1126811, 974058558, 539004387, 525215261, 845329572, 18023599, 300210461, 750003980, 853251337, 909517530, 111958144, 334859959, 234117275, 614797019, 234551185, 551320300, 85466095, 203989952, 918911369, 137976140, 481529708, 696311130, 966232044, 72790881, 280150123, 261671612, 51298762, 465301380, 576661383, 749303328, 559108747, 708562549, 47672985, 916950319, 355835182, 450965966, 185021208, 260585624, 434103250, 964475799, 931117746, 555120091, 470042740, 347417589, 933741507, 593300864, 125701168, 470746022, 753373722, 944836698, 215701784, 938439610, 459744818, 826349595, 622490439, 554447595, 485751300, 131790475, 390825819, 849410640, 577334156, 395120842, 70197602, 631249282, 766952728, 997654164, 192804214, 401774451, 363842000, 744276951, 94171074, 438366636, 272749477, 38846124, 446574883, 356324719, 461486787, 233940657, 222390934, 143803705, 10980942, 549726942, 909479785, 182474114, 974347838, 633730901, 587654762, 988003282, 480456598, 55622329, 143382007, 265478654, 821587026, 256541060, 675882970, 27372001, 26715510, 600125717, 703250994, 953370352, 46656027, 463111214, 608516332, 652766552, 11835667, 310243567, 218474343, 659018138, 598996186, 323479685, 284520226, 878710928, 423488620, 74937952, 790155916, 597145410, 442963428, 984537001, 127701340, 52368130, 852694434, 903467135, 165689694, 992104607, 594385012, 119171394, 216873805, 617115132, 842390781, 149958427, 138274235, 681587061, 665546174, 836564362, 609120171, 986612050, 626694609, 619327540, 828110418, 396487217, 227594842, 181739026, 843823945, 599046142, 681491704, 743860347, 57138292, 919477927, 949144669, 319009342, 551194247, 225464746, 578667131, 523837154, 477192631, 418437386, 69637003, 916196834, 443353777, 298189381, 698175615, 36175982, 536024231, 145432579, 429346451, 760980955, 450085805, 984941589, 156752776, 591124425, 799610279, 340478180, 994623944, 647005900, 191728321, 843359670, 161306004, 690565492, 971005720, 116364887, 744650636, 412424248, 903854628, 671915958, 418385906, 299381003, 314376368, 605857635, 770386362, 343725942, 896323759, 971695231, 60197474, 678155694, 82705310, 29898208, 280278100, 22677175, 531015239, 145943025, 160901236, 75923088, 270323053, 258108882, 748267356, 446508534, 171820302, 891169654, 880491220, 921461385, 791771127, 493432684, 487743458, 83722855, 405479700, 570771185, 11530161, 397897055, 177026757, 518535556, 298689693, 800236368, 89101988, 395769527, 638409810, 992911378, 706320109, 785900169, 651551191, 370725312, 923992644, 447586697, 270184793, 805668140, 944535092, 53787002, 575290574, 805870483, 340453164, 474263504, 680560784, 117332378, 741972373, 234984965, 367483386, 303530368, 581672093, 585508815, 318531106, 14537308, 157523565, 547637378, 765747416, 430658802, 23341923, 323781067, 863630319, 451830580, 146017369, 374315606, 92943701, 736153614, 395015407, 556934150, 945271940, 293870471, 755646217, 391595272, 206279495, 922168060, 111445859, 817624539, 409636053, 494433798, 302464360, 327818083, 215138055, 472878864, 806017704, 450269044, 983791480, 624244433, 314906243, 798618751, 624497407, 704632096, 192246452, 367377206, 716198936, 271529747, 663989441, 92439241, 672933319, 608933959, 374299069, 991678693, 926317900, 965533587, 207598680, 418253901, 538236740, 668235038, 504378091, 736171529, 653017103, 63379366, 154006885, 609050190, 468560458, 891252233, 371729888, 428083002, 698755701, 487114773, 142230275, 752513267, 363884915, 180151625, 859202502, 969688535, 686566351, 684018812, 24483476, 28646075, 952556254, 881593840, 710200122, 954543371, 787015339, 27454053, 206617704, 880976708, 900996968, 97663371, 447842664, 904058052, 710909966, 175922232, 316174703, 633645595, 589930024, 863143554, 344386226, 47901130, 943900175, 343624862, 896034301, 762183646, 38494376, 445160143, 32325533, 74386520, 40749150, 845739031, 426696252, 675932537, 322632569, 255037707, 52639097, 497996902, 396144155, 44155123, 64636113, 180461689, 283381780, 925963686, 154418343, 818307263, 600314640, 718610567, 60094177, 260310866, 837581056, 25310401, 332785862, 29009643, 695496907, 827538757, 857177979, 258373837, 123289899, 35442979, 197604701, 989184015, 109023337, 507139572, 685580374, 297659784, 679350766, 124503585, 340586112, 710606342, 532952316, 626278108, 639450768, 937342098, 561907859, 216884717, 85377019, 91314093, 772771211, 320208447, 848211720, 474744040, 321068667, 360306752, 795473429, 905689757, 48499098, 440603852, 257393865, 207363949, 417693413, 186066481, 294619043, 949909882, 760607143, 894853675, 309565188, 757276800, 352746162, 317691185, 424790180, 356815555, 418968877, 801808837, 584776380, 458375331, 884922990, 424640202, 955661579, 221605235, 385246648, 259124235, 370734110, 809581661, 733837774, 850415773, 542071171, 762888903, 808491492, 804153283, 638528500, 583694002, 156202758, 321605925, 366974652, 484084075, 142506762, 484078523, 984225954, 440289727, 468411889, 381351054, 730787514, 507343788, 944617893, 497131475, 214969549, 944375119, 286962000, 648890985, 567584679, 264257611, 799265938, 346974698, 355714931, 332783871, 150129267, 931064848, 28746249, 710880098, 786298409, 505453097, 297621349, 996826022, 576410881, 384912784, 626017127, 365108843, 115983757, 478380973, 170932813, 102702704, 624594366, 590748261, 196501028, 625748603, 122706292, 248009455, 976624572, 105844655, 157033705, 791997912, 242986345, 908036429, 143385746, 669025552, 811662888, 38689137, 448845805, 848984038, 790755775, 716540089, 156225983, 495250665, 656896957, 150071397, 212796205, 134618234, 670984747, 461414326, 188127693, 281947246, 79474859, 854442434, 923683154, 479200562, 752561322, 318312295, 546145500, 445250614, 884822009, 535310568, 196636960, 483994347, 216856527, 404662388, 250514201, 461507594, 688427256, 864600290, 150826721, 317812586, 612073850, 307534248, 800188057, 910852100, 25166200, 375623581, 54963900, 181621151, 894507683, 877503424, 89078210, 738870182, 659871227, 744090903, 816405507, 306504776, 262983664, 220862229, 432824486, 338653627, 996940193, 600822915, 78653676, 966471475, 357273878, 533539110, 450125235, 564252309, 326782933, 833960591, 396711730, 979790595, 673714765, 955787736, 893599453, 882144702, 381913228, 62494403, 701060504, 774985287, 108067428, 340562457, 483570047, 470426731, 544930870, 469766347, 264300198, 926178936, 592743103, 53767873, 475693550, 844731794, 96186106, 418364147, 561244863, 221114620, 700029857, 850572359, 507132091, 216001369, 326949206, 741590143, 737395859, 346306084, 743404158, 709661022, 124449377, 240072742, 181900604, 170158954, 142382314, 815466814, 99764061, 230767720, 981939635, 849999291, 764405609, 272892170, 934120779, 617100485, 864988761, 815236854, 383935340, 815465816, 649809881, 526859761, 38941741, 11162526, 213680804, 685250266, 831439228, 879011090, 571551965, 785137090, 784933207, 347529863, 683705176, 420369270, 563854103, 450967064, 638801778, 821673117, 283759424, 26924407, 77905568, 848905132, 112553358, 22518699, 460615564, 428219937, 649473223, 136723827, 855270355, 482508303, 16207639, 568533375, 39866568, 985579852, 33770912, 814732097, 62754593, 653547925, 937482700, 259706381, 167079987, 215150094, 56518700, 178868040, 668946046, 985034588, 333834605, 36055608, 32556886, 398130822, 313873187, 252279703, 416824326, 215684622, 402223565, 58311376, 371412509, 555745970, 212606872, 847842000, 137746428, 304532289, 776827343, 911408130, 137708874, 743143024, 198296870, 224721880, 911877954, 569974391, 723570980, 929641011, 292353949, 397026671, 170838961, 913855480, 670290062, 381099506, 869497753, 846911003, 390139807, 142104158, 614859931, 173248001, 241207734, 435360388, 556666383, 118667880, 255117145, 81092036, 781655388, 813099897, 431076125, 76716286, 676884499, 656228120, 393270378, 321975561, 270713407, 662818150, 480272941, 169253688, 934098038, 488503951, 1258627, 128480479, 606522008, 831867100, 134152583, 978177819, 87172043, 627282697, 786650093, 375982630, 288295884, 155109851, 762352950, 445870914, 697002011, 738212640, 499269483, 826486081, 23867964, 666661404, 138017928, 404455132, 405549151, 798798167, 721231319, 59032946, 285933821, 922679632, 329837171, 304503386, 481755327, 774779262, 669046792, 117015298, 541262643, 596409418, 246786975, 275466183, 702236833, 369300903, 945482010, 429144841, 846322698, 243978312, 792312407, 401292408, 971084162, 271424910, 961206693, 483013145, 505673149, 243530000, 789795071, 636513810, 804283748, 640991869, 923917263, 434973231, 393197576, 539569220, 442190812, 306055655, 154119330, 40852481, 484851141, 679303558, 713137641, 598685517, 255073719, 195035006, 706444901, 670743411, 12588112, 187906693, 261264634, 595146731, 868078413, 815176688, 76513761, 574838786, 930437341, 243256460, 376653500, 932878848, 450624164, 667176137, 952570439, 861825040, 841432007, 870737199, 273713888, 689463567, 911461424, 577671470, 344939184, 312028484, 130950357, 861091348, 897311486, 491334435, 483999686, 71873433, 308329059, 491936390, 805735404, 606991518, 304757977, 968143805, 9418007, 693718288, 388659747, 365290662, 74778825, 476559804, 341918501, 192770602, 492924500, 984982690, 256134487, 999237046, 536444074, 110505706, 390985346, 632676378, 314403287, 546469361, 55029514, 220966899, 763610009, 119275949, 94597302, 624815903, 569098357, 464388828, 211550335, 967684527, 333255860, 596218321, 829746733, 893935774, 135733069, 444224814, 125040302, 950388202, 906736360, 495242671, 596018588, 786121052, 773388734, 83658976, 499895329, 395862373, 248886819, 461414772, 168685266, 328908162, 488521550, 572377703, 381463565, 768685446, 810312101, 629418425, 179921848, 80723656, 77129408, 619966785, 62645920, 924451815, 795378085, 863319385, 411272486, 526591426, 357379185, 162535868, 691072356, 316903018, 758440888, 897804876, 946248935, 135856097, 332100918, 567987462, 494216775, 876182539, 228327938, 973468236, 14657211, 595181696, 316908557, 809942827, 188055567, 241062387, 689085018, 568884400, 129459038, 459663139, 518322002, 454581595, 568246653, 583585915, 402368319, 984248032, 67201333, 491701349, 984257581, 349280248, 305259956, 143949216, 770118898, 969228546, 724337308, 240912492, 209895783, 344314680, 40938072, 615673292, 133171812, 546045234, 750163875, 598145662, 73706511, 694188674, 143101156, 826829041, 466409016, 189595204, 970269120, 567037830, 83897120, 268298223, 366201015, 823655146, 760980960, 201393427, 169291890, 754004906, 128881971, 816624344, 940900864, 870402153, 185272258, 160552854, 454673468, 590524618, 413661754, 849999731, 348926886, 363950480, 898309673, 989368836, 78936563, 925624810, 934819235, 813904691, 896645443, 996823509, 772667734, 221835841, 587860356, 887701003, 384272483, 571187617, 314085435, 369900501, 243336322, 217223240, 355450268, 900064041, 116935503, 297019746, 228259081, 110179657, 309460819, 340004089, 978122501, 602362029, 645948193, 116474987, 98523430, 583937701, 158642314, 786571882, 100821232, 848776645, 105080643, 918028466, 823961920, 264530355, 686600098, 400943775, 938248615, 447431535, 547694840, 27211026, 960615761, 681380917, 181601095, 154803678, 894019126, 655665065, 943618893, 962321621, 564777430, 255935481, 585160591, 49446091, 429986631, 7106256, 379032718, 815370129, 442223223, 810599818, 829518073, 500846988, 904950161, 908378067, 609972622, 815483780, 496063040, 900496505, 27992381, 306965622, 553043406, 724079957, 199739566, 920495465, 528864076, 167714032, 659610856, 482707531, 779869875, 973999201, 106218166, 187880277, 61556202, 13349351, 136133915, 473402042, 924039206, 848181009, 832525174, 497839158, 962341577, 406750703, 578609610, 549024155, 679999082, 791433315, 663560670, 470454086, 480471081, 527765202, 484163529, 621698988, 975124162, 150379744, 822867511, 498365207, 55932698, 179850069, 651178289, 300465853, 506084658, 586394336, 370894762, 808127850, 851193142, 763351272, 127505893, 12517271, 558794633, 773822516, 654129253, 745196755, 902128261, 98627727, 513811269, 651131516, 289004500, 648497004, 539140849, 340811579, 554316021, 490623072, 753528271, 540352790, 693212732, 863715412, 539231801, 12956480, 949628409, 991024402, 407890132, 883145154, 973348979, 52895610, 59641920, 672042215, 451899623, 169334973, 593601810, 820064742, 881623129, 998777953, 569012647, 298991358, 183764972, 290605336, 23678256, 414911685, 947221827, 22307553, 135925152, 974459464, 795578744, 45429430, 962135099, 822576021, 386358894, 735168031, 302606911, 113122226, 208912544, 691085970, 767085831, 982196631, 115786866, 463331198, 866345267, 802601220, 624534227, 985048007, 637132404, 50829904, 253964941, 381380167, 508802121, 358921261, 667956862, 236594876, 662684379, 111566795, 539629398, 84657973, 370005337, 239401006, 667891187, 865003018, 990533400, 501438887, 405091991, 625616534, 612545710, 773105562, 679072139, 793214063, 438834397, 882244800, 122719009, 186291502, 731177761, 440776721, 614840267, 510005329, 640231152, 499239661, 971596585, 200089786, 874711218, 780167101, 230847521, 453048368, 234876263, 566183479, 905281860, 50535289, 779760842, 756622801, 11861897, 24203685, 761064321, 152182601, 295573477, 311871089, 19388530, 95246339, 897595566, 966973066, 860498267, 940333730, 959980821, 245810455, 663585717, 741392096, 631256873, 591444899, 674791824, 701615484, 654137077, 820508309, 474187501, 94601642, 175367460, 352475832, 70813243, 763614412, 62632914, 407861042, 625689595, 176711261, 144744079, 18501107, 430436800, 191539830, 493289027, 908953662, 893856498, 611951445, 211754734, 954252396, 957365849, 830384003, 259233512, 455682250, 183812518, 284004972, 975130500, 234353378, 168653457, 247093864, 770175284, 630384846, 767353520, 21117691, 796379953, 713810572, 631816127, 822028086, 568857258, 313877017, 875687817, 627083679, 516159962, 717935151, 52563741, 266095254, 330524193, 670799145, 394171092, 402572073, 734864751, 798942254, 294060388, 748816178, 214274513, 220858698, 205850837, 513718631, 519214960, 936553373, 811314221, 440553089, 82405590, 601318004, 634130851, 960377456, 624362166, 619068451, 405927380, 194587343, 783466395, 734161941, 531730089, 289237911, 889477943, 342845015, 594622957, 400185460, 255725874, 149524192, 191887966, 83806972, 949853376, 552348603, 982047103, 940996450, 385600935, 730478848, 864525586, 775605489, 202137592, 812944592, 866887016, 458832007, 571813626, 295856471, 453930200, 406651878, 308997113, 468386750, 437982160, 54945833, 524890516, 944532781, 808507055, 15963636, 578405473, 481883215, 179392871, 464135894, 596319762, 249661645, 350139982, 63487953, 778200526, 619642320, 2226483, 60725891, 312686723, 872340599, 781997706, 243203695, 852552321, 410471908, 703292247, 672850009, 372731254, 466201161, 265545508, 44247586, 170814873, 11631951, 123009807, 318889397, 195627144, 292547811, 671775203, 277727479, 179326987, 440493628, 129426096, 121634017, 3306539, 27011000, 900450520, 473033743, 582470505, 276836809, 778685284, 797572125, 378541893, 131068581, 819123665, 76788598, 981821629, 888831752, 952466774, 22380426, 449999927, 477067092, 709999035, 220976801, 515661141, 36535452, 390257907, 618639687, 437561512, 388014836, 211990799, 100798049, 601586903, 487756422, 700506398, 773065432, 308475164, 820054734, 857273013, 351968330, 162690949, 638817732, 702704880, 776543614, 978295334, 861746072, 305884329, 564529890, 624471795, 872044194, 909097819, 229201953, 607909023, 700267844, 430263257, 558203554, 784386595, 537667863, 414725684, 355204731, 536941919, 254521514, 579064247, 636917144, 892376568, 812932701, 144684894, 227883929, 99209098, 840626330, 63958400, 183154609, 638236184, 342703948, 604969705, 825924498, 799999691, 176042291, 123374437, 649149920, 719658364, 11596502, 820356928, 762960489, 863293368, 216001657, 993638104, 930527485, 881911904, 176446374, 414157785, 540550308, 364058844, 303358518, 383239444, 359502408, 348858095, 439638486, 924375827, 745210188, 875663067, 377683061, 5294414, 511253455, 771714698, 601038041, 237730914, 910597773, 96901821, 944616135, 441421419, 459800523, 156854785, 520373741, 409541936, 341799565, 194494165, 580900994, 426608837, 442749257, 245054494, 65912420, 529913774, 689073379, 71140048, 434702682, 617412843, 801515353, 18503872, 996406112, 138294580, 646572925, 309478279, 756359080, 848909592, 6242677, 6058112, 354052116, 283260626, 675928939, 482326094, 751887326, 291522809, 336569630, 588763530, 16318540, 349263379, 140248930, 769899886, 222705128, 392571115, 6613716, 487997739, 510080009, 523802447, 434449601, 433308260, 748413197, 165451039, 614037753, 22044296, 13124429, 44424024, 225934121, 241502933, 34969730, 628988593, 648027131, 406329057, 129819061, 776404991, 839595412, 774340477, 827131663, 203321846, 623519542, 718354708, 425719083, 675000981, 470049478, 420098832, 716498519, 974120492, 950086442, 344086548, 105283892, 596115563, 186685678, 220801903, 215467372, 804636910, 675053405, 734412990, 285787711, 676625417, 624270543, 784592333, 563049720, 359301868, 294696990, 788864324, 376299094, 249470861, 752486027, 857567021, 819813894, 855061790, 273802879, 21337309, 35956915, 319937763, 340702214, 847824000, 984408446, 681388086, 325626564, 980865196, 30688604, 13933104, 695838757, 748951804, 274271761, 434969835, 195142749, 328352453, 903810981, 905734835, 408689688, 452332745, 616869391, 278932662, 19746523, 245626623, 916191578, 610725432, 407647225, 327870548, 292258240, 800787539, 426389162, 508878136, 855759122, 882465458, 522788873, 911067857, 382404903, 146921439, 931745648, 548527625, 335056583, 343592265, 593068068, 185162012, 905294370, 720959487, 373574171, 391759693, 135438128, 478758116, 736205643, 427319510, 624601551, 408053646, 473856335, 636417576, 568015134, 573533821, 704614390, 535608265, 687493801, 722433562, 444785132, 212977319, 469686101, 899821418, 591655951, 908272982, 895328534, 521157364, 271802614, 413128292, 696426607, 314209058, 916358914, 459183286, 3763841, 401565765, 817722715, 527893262, 766990589, 287562157, 63471639, 469727490, 223595688, 221397526, 723893863, 182667092, 833994030, 251737602, 538352327, 72007591, 389258013, 458832958, 917081935, 192299626, 985793532, 595224812, 497994539, 716620840, 119465678, 770434688, 468684571, 971619081, 921267602, 866345905, 622052953, 796275893, 556975492, 948730090, 994704270, 5451, 21388367, 819743463, 49886540, 880287725, 445486866, 420457915, 358686860, 335962831, 32016978, 126124913, 616868112, 430397271, 85457687, 458697312, 909466961, 901025110, 403368718, 42309129, 20935675, 520489137, 749392194, 265208254, 943491259, 460347429, 111349522, 435525859, 835698795, 838678305, 662253362, 851635812, 313446573, 385408848, 285450857, 794964187, 123606917, 888489122, 266722620, 227980392, 900639352, 867157889, 460355312, 779236460, 116034433, 226862175, 453827948, 751845844, 863787112, 759674565, 133500353, 701806781, 95732238, 395221784, 472395140, 942810533, 359308128, 681916606, 489835133, 572574738, 639437466, 308219514, 636468236, 637432850, 212774190, 14225556, 554559786, 101203409, 285584537, 587719332, 580791024, 437549755, 18560448, 246309499, 852648045, 415826751, 190292077, 456201517, 849768139, 317265747, 40698751, 110438327, 778170729, 887345958, 392263227, 871926122, 148645276, 247758792, 418201112, 530529080, 284421082, 338256742, 233523990, 760608831, 393752530, 66577273, 635502856, 209013504, 628290915, 841460280, 650198253, 708658128, 57548810, 663422283, 421158175, 787825730, 544092553, 566496723, 972658499, 719126557, 678462458, 488913294, 423559686, 659887179, 63758187, 696944024, 191789154, 966417183, 88900791, 242819335, 856397152, 37671727, 636957520, 586003864, 17711885, 355588648, 837928707, 492214325, 649786124, 235696476, 419852001, 105901323, 441618874, 607401639, 871729664, 322824259, 760191644, 369981363, 20308240, 132260411, 584535042, 997631648, 537758384, 643154628, 671324108, 714633250, 96881698, 311836526, 529741248, 271078229, 726177571, 516092424, 913131674, 145767047, 931704124, 506268524, 934884211, 308999088, 451175704, 177837244, 376714224, 692667537, 877505787, 536048799, 674311877, 670255696, 78863716, 973053581, 351397648, 618415064, 769978106, 578808313, 410047568, 826973812, 741140107, 945544631, 967144167, 705512422, 412539541, 631816344, 13844949, 551987707, 31649700, 266623046, 589591912, 67312836, 522679599, 994037853, 891093250, 801875595, 408874898, 249908869, 199855115, 182326585, 65447873, 43304958, 688696896, 852918975, 29457803, 620460629, 524543090, 902871048, 894723295, 48946669, 894453545, 672648358, 493755809, 26925784, 337860831, 651550049, 864358503, 239953127, 378674989, 938426050, 964218306, 786636101, 387950075, 348591827, 195780946, 309513983, 162505385, 299479918, 743170838, 616089840, 4629427, 663860635, 206530808, 493301743, 520795695, 715743635, 60275444, 133771952, 435257607, 577350815, 31878755, 626235565, 531821073, 621369130, 14918810, 877955897, 52285829, 482111654, 758264312, 71774503, 328929479, 240495491, 991443151, 364344769, 661029631, 965175067, 733134538, 509429937, 547442825, 55316833, 180594550, 174236013, 946248485, 688141629, 262165411, 361681900, 867576061, 344494307, 486925798, 197960815, 763734584, 233457619, 756845246, 536507183, 134767853, 520023243, 5249600, 695609618, 587586955, 641856055, 262461253, 998747739, 63796461, 579061142, 448693490, 470335259, 975376281, 62348590, 502327478, 887934180, 277671390, 55700527, 517978804, 476086966, 810025466, 416579848, 996310124, 878340297, 806890814, 474999700, 163720512, 921776889, 569389806, 266993258, 426378326, 468843207, 167423822, 13192155, 945921477, 561759084, 959360940, 803494373, 641873434, 789361714, 292208344, 150778150, 211846432, 386398977, 527431167, 342981484, 637994856, 232734734, 828909293, 396563953, 929843649, 873878600, 686619520, 633354005, 860508589, 530776987, 842826107, 159359460, 413364371, 318455385, 148746792, 55872321, 942871817, 680846182, 777277300, 109211618, 203995057, 328386045, 442612418, 583611321, 968024278, 202711464, 884741285, 262729553, 299935539, 257873823, 315011121, 773295512, 390118152, 835569614, 444735955, 474385653, 171559653, 540740507, 680815301, 799554360, 714406280, 851106452, 150861644, 525158085, 588040640, 24934673, 836673444, 146869215, 751813480, 718111045, 819176737, 82429331, 899305849, 783473191, 607914842, 828653209, 753161537, 320453453, 806249442, 412425784, 126419306, 793479317, 111229187, 446941232, 654230069, 806519288, 579689509, 136060595, 537716062, 894991678, 816359418, 236327769, 829332165, 988513605, 188038387, 722736465, 760310456, 646522094, 503869805, 417828525, 647778053, 718271697, 645559641, 250347753, 377952061, 956691227, 110529428, 932442436, 588214112, 803759511, 378802832, 313095237, 634600506, 315411254, 368456851, 99191823, 915323601, 535083664, 471984372, 107854429, 59545779, 98822874, 347855344, 618595812, 39633383, 65364126, 920820997, 665434078, 583471067, 266939431, 754755880, 930486360, 179891126, 866722375, 393036292, 697797824, 451835480, 132745311, 219180184, 774697413, 604738078, 913243668, 134444546, 306432694, 299695949, 76455921, 840022333, 800823782, 322911385, 897145029, 409389269, 412013884, 699818132, 416905145, 55432185, 530201486, 729868853, 758735932, 977766150, 449167461, 644725534, 880707652, 83816225, 962742923, 810384611, 461730774, 308536951, 137737846, 916370973, 508346837, 7947347, 712687865, 431943768, 48253826, 188760312, 354208703, 442260764, 115340459, 685291907, 894383482, 449664371, 563563259, 434625241, 129924932, 807202670, 830631477, 239302116, 704785707, 926382657, 286985399, 172583754, 56278402, 245125556, 434053777, 214543439, 850737750, 180354992, 691660390, 948983610, 842695555, 943462401, 188610217, 101727230, 751135106, 419645905, 974514677, 704650815, 871648690, 596391672, 713646182, 866949509, 18032943, 647539255, 196784932, 967529101, 575237605, 379973862, 962537720, 91408338, 867608392, 285229690, 433222992, 34035841, 166206918, 121673190, 618585856, 738325109, 204590783, 84995179, 956118351, 601706981, 736492663, 246987772, 204477313, 684410600, 534391142, 23992846, 828851467, 761908263, 609245082, 332174365, 58205600, 243738682, 844148981, 70931597, 836772188, 568617181, 289758840, 852248999, 919324245, 294594769, 235158028, 458114155, 857537513, 634314292, 949379362, 711380407, 134667184, 231049763, 626738661, 536813610, 766046157, 139044278, 693210396, 140747965, 791823960, 649761013, 138316888, 962481002, 330906265, 588730838, 895544205, 972585975, 460578729, 628058488, 875361941, 446333527, 523074082, 479446775, 919540190, 197278994, 797664533, 251523082, 794799353, 995751194, 563747359, 462607106, 758141902, 459995607, 105759109, 729814263, 218393614, 587337002, 18753197, 453329204, 523402909, 562866933, 800281797, 28235147, 582705938, 273586723, 33214029, 779254855, 609881579, 822359657, 48110023, 924890799, 454319290, 578927783, 912660594, 432111684, 393361063, 536825639, 236088344, 402639872, 656757773, 701905597, 700411738, 778891135, 223704817, 953997944, 957796838, 167681283, 52184291, 551303620, 466139233, 886171651, 739445628, 846610333, 119131626, 418385351, 974084249, 597064585, 973171232, 671977545, 594481980, 530970173, 114822117, 23953329, 416533850, 485670485, 629683595, 637494942, 628839211, 62995842, 202862925, 923695254, 752412479, 228218578, 74656354, 485207305, 962067457, 592178223, 440832620, 231393669, 788268414, 331093441, 473747184, 838980904, 680197394, 454493715, 717945255, 811312090, 714618831, 12441799, 776405525, 367132019, 85616229, 701327735, 206445471, 460120832, 336410113, 624136494, 276137526, 254338617, 318189595, 638984924, 589763919, 448746083, 403027243, 205007848, 300311654, 528512358, 182918960, 331923866, 52811545, 370823591, 180797898, 235374396, 296899525, 405023233, 720309995, 369420783, 338076867, 649483558, 434452240, 93797246, 407833263, 141601401, 695069683, 672481258, 868836875, 825191114, 473571925, 169601259, 307304096, 484065982, 555529522, 773366895, 261952094, 646005111, 218299921, 654732982, 283110652, 392977452, 873544141, 915467830, 398960008, 57595329, 153544604, 128229562, 977159567, 901514162, 928101, 596555770, 136685921, 785731998, 610623121, 876643524, 450230891, 691265603, 298603026, 560095829, 610754534, 258504340, 529262820, 981436596, 403302860, 220312179, 115493058, 925724461, 666597995, 958308977, 941870864, 491431304, 739811549, 814287061, 366209055, 916689745, 984169801, 758183710, 969846268, 102518935, 340415256, 644204350, 120734877, 854036415, 864386148, 122548795, 284757531, 744098878, 339087330, 746681854, 27144416, 136575169, 353567340, 78910736, 386113338, 191281693, 672060236, 51108535, 206713464, 806080566, 904623365, 253557284, 838667880, 264379242, 53491285, 136322583, 604542930, 554489095, 341506024, 241850919, 513214370, 117242843, 220133445, 101932629, 275827536, 786668882, 648815061, 138918912, 563634251, 231435046, 429235034, 88612452, 33710291, 636786940, 917541222, 780636653, 20600889, 949098017, 102517723, 818409257, 780195268, 788024980, 415139947, 352553828, 690841871, 846814366, 974641934, 691129629, 63590820, 291237246, 61071557, 736323427, 357549972, 868138781, 537499102, 326364590, 587220639, 418513751, 896669810, 698382245, 72594382, 725153444, 220038085, 871606542, 163921693, 120025253, 241770845, 47357217, 136507412, 676031655, 643155249, 208289238, 904527050, 475515817, 177817740, 583293815, 987224699, 520356245, 769806899, 783404363, 574325262, 98642872, 838488858, 375511738, 13957472, 169985029, 422478407, 178250965, 378753979, 460229118, 866572918, 791949771, 159510714, 376445279, 700931457, 42832532, 469227797, 126151691, 457350070, 593685429, 381224837, 12898428, 554870190, 23179211, 537171548, 738146582, 1769928, 700659726, 594764418, 188805195, 11976673, 182783567, 685407291, 751116966, 403060292, 977346470, 312485781, 532577219, 687526466, 424133918, 743812488, 73352732, 454226264, 717281815, 615884334, 541736179, 873239533, 945203317, 864028279, 692337077, 391962638, 305424767, 18257787, 850334498, 459066488, 126306004, 536436807, 347469579, 950384567, 758719393, 968891962, 39934437, 35499119, 674268127, 962230114, 3236798, 319653175, 572995629, 151082434, 304159341, 432473771, 971275277, 461816601, 957962599, 545119336, 284680151, 144333874, 618095902, 932917507, 278599805, 608910641, 205847165, 564775384, 623859354, 991150106, 286827510, 110812482, 445761050, 402493117, 9102165, 80809154, 503908438, 769295535, 417165630, 535392282, 116452195, 303464368, 145164424, 626490918, 156138666, 790252511, 812334394, 78023254, 973026316, 684464817, 672888129, 387748246, 670379810, 933804415, 203287496, 398958059, 868058097, 158918750, 697471963, 471171626, 938936777, 418574849, 684272680, 536664353, 195243872, 726497297, 53471695, 771544680, 504081930, 895964376, 754771551, 995118945, 616539886, 963061523, 97047003, 374176971, 474961123, 448338768, 710030859, 331562778, 254858465, 237599498, 960847172, 809898805, 636293623, 911832656, 199761742, 895961497, 509687837, 138529600, 323829549, 808277547, 438588633, 162431607, 870806826, 437483311, 389985504, 514672074, 933258571, 548897179, 43497189, 979097145, 12234182, 866275687, 769868182, 502224188, 193225240, 848361226, 255061959, 372499563, 551495041, 805719567, 949048178, 140195801, 971703109, 738299904, 525771832, 425092684, 655684237, 348458464, 951887441, 371720060, 398051868, 664503700, 760440369, 446784024, 761995375, 953062642, 597811767, 527247973, 4976502, 225333114, 468496402, 826238709, 63301609, 329428625, 317607049, 783503238, 712036410, 972362106, 454108165, 424886003, 686830782, 5577339, 936250257, 973965801, 2140444, 36448087, 468860114, 544621066, 426178303, 241562367, 206216472, 276307666, 700408058, 625863208, 79266763, 412093905, 399690643, 381839420, 467850144, 891184649, 501956241, 24373048, 262139692, 559109240, 804459599, 685326711, 404703091, 599124058, 705638160, 66010830, 572382694, 142393392, 755617027, 211256597, 157972323, 426272782, 170355761, 847696831, 686432641, 383382240, 282582534, 593709538, 320752146, 133156989, 886648903, 855759513, 85513480, 491658679, 725486533, 676320995, 114846874, 210181058, 267633091, 41505797, 802469150, 368384837, 332907465, 459876656, 350386959, 139301990, 476515542, 284084715, 608952961, 912412161, 497156205, 204280075, 930784971, 779122436, 639912989, 126609283, 254803045, 835189517, 130235340, 316733032, 108977237, 592160052, 37559923, 194568423, 914335770, 685720404, 107547937, 637317444, 953315988, 871460781, 22332913, 592472818, 476939353, 297916785, 439299040, 992445713, 152212871, 344276681, 822954572, 414689233, 644588139, 922214511, 181235967, 809186715, 534838706, 927285069, 376960469, 120421171, 944612098, 340608828, 141185974, 654039010, 301901081, 296186418, 137070738, 599074841, 97389257, 797992442, 433678538, 559504188, 996494166, 739448830, 475427719, 869762822, 394867932, 948262789, 452271808, 834513047, 199150185, 49650093, 828712800, 627921535, 363158976, 76454190, 146135990, 427597937, 669425666, 934284804, 522926621, 637831676, 483300813, 114082465, 545888377, 453056547, 949172295, 419258192, 514041620, 231384501, 107162413, 73173992, 844227465, 791239420, 837866605, 216244547, 826610670, 19449906, 468624328, 729637119, 836224906, 281505863, 705697748, 279335372, 582478498, 417570183, 690295152, 936613103, 941382488, 199769479, 29332370, 323861994, 429166102, 112235116, 272958779, 45111599, 422460962, 248191757, 935338823, 304617377, 568451880, 442521459, 432216121, 233999610, 635146751, 881002163, 131782129, 566256909, 411335999, 96899947, 981800344, 279218293, 646961444, 814063665, 667514231, 135908328, 634464926, 479559167, 13326366, 8053499, 901327496, 453296333, 737690369, 632593901, 16736277, 768217155, 398071355, 455319406, 20732209, 642669175, 702322195, 321919264, 943641048, 163523569, 604140947, 837388404, 746504612, 981439957, 669071566, 501080562, 735676194, 993993615, 660724997, 658015335, 679238625, 982401811, 505908363, 673436266, 709620947, 46276131, 148724631, 484351392, 891626508, 135667940, 588451983, 920108566, 210473120, 164587258, 257897584, 78366094, 132963361, 715418987, 482733481, 371780191, 413850129, 15539465, 536690171, 118445333, 325068590, 351406067, 292084841, 99114858, 294398919, 164521563, 274689230, 615947561, 392233866, 985684016, 334590391, 369483441, 434626832, 555283060, 499384303, 791918638, 454703383, 488556164, 876860330, 924345537, 28765313, 655633708, 889124475, 444366319, 426514394, 210665198, 438034637, 770416812, 573475298, 904958203, 879680280, 666883397, 412068834, 661612041, 943371819, 601381717, 209406950, 840725928, 151935684, 915005139, 363569388, 850895284, 806207458, 110967716, 41915685, 646848310, 377072799, 359707201, 613943867, 803593949, 710470490, 104448854, 971452585, 800074634, 741153947, 178462544, 368493638, 764001095, 298633485, 875307858, 840634400, 667643094, 662433945, 444892132, 728864651, 532977551, 889069664, 807924, 742002064, 866017576, 654011940, 360116974, 283588474, 926554740, 153631244, 492723950, 813957638, 106061139, 684115387, 317117289, 559313868, 300954149, 172098112, 745117159, 912973270, 352957873, 326936914, 51617341, 190367403, 855154936, 103124606, 409507018, 606395673, 786767335, 129979253, 613448143, 419384239, 212267072, 171258435, 303796924, 344583355, 908336288, 485870464, 639764421, 74829793, 264784508, 726395338, 372680437, 202248279, 333743230, 731416931, 188997414, 688025043, 5850816, 895405449, 274592023, 365763467, 47461045, 622161502, 55726973, 611743179, 373698512, 382501536, 854432535, 654911538, 936565555, 358261394, 338745461, 523140080, 180902944, 742266099, 515122874, 906478704, 18472792, 643495385, 212687378, 50306737, 162854659, 116210285, 215397323, 435304947, 858970704, 945142858, 293827102, 699132952, 239733461, 318999582, 89424477, 962962328, 670970111, 700199825, 594821401, 287849514, 651805837, 996426373, 603739389, 995484455, 80670999, 283902621, 905025733, 641494535, 440253166, 239773961, 963709201, 87595318, 842810197, 721349503, 378316046, 512241754, 716445867, 428229630, 156658108, 263208207, 404506438, 356637324, 331203229, 785352427, 231184022, 603592734, 173657167, 488530074, 520535989, 936765610, 856553595, 319830812, 187803920, 500330895, 446062724, 550827838, 662333613, 437902361, 867236970, 416574785, 201726601, 573567927, 868043551, 243801239, 745033756, 246537645, 471806556, 867238304, 958583866, 482867740, 576361648, 660624690, 535078703, 594913976, 903258780, 359908762, 900226174, 585340443, 916495363, 216485045, 265371628, 496435409, 726898377, 41144029, 302746813, 380489301, 605332707, 513513567, 677333326, 855863940, 673708101, 326537382, 372873872, 648703632, 307927537, 754280336, 62756143, 756163237, 639572402, 872453641, 445049794, 933385441, 998929831, 196088114, 896181348, 518154537, 163512885, 403332405, 207273960, 960858415, 11355527, 362597447, 655464361, 347233276, 878817314, 891229215, 501385125, 97030473, 839996025, 122006554, 152724566, 349729655, 761924896, 209630356, 617976090, 705655657, 670722120, 172272479, 693499243, 990491492, 262398490, 863904363, 923210683, 28682529, 759389037, 174370056, 988004597, 755673964, 834991350, 144921258, 420593340, 506311894, 973161848, 157079244, 135413222, 58304016, 496958845, 588566346, 535500549, 119836563, 343436158, 799624665, 597392933, 406080332, 328261411, 948115679, 600446251, 941059120, 607635504, 368194071, 584872438, 262462331, 426732312, 491416496, 195379450, 969148608, 339353658, 446461402, 466041038, 105972947, 79417410, 58560540, 300060929, 732410237, 151918892, 854732464, 994757575, 895358910, 153713943, 55951387, 8598408, 802408915, 107524404, 715749762, 211784814, 956756809, 946813397, 610348846, 36306237, 946624774, 841662139, 969945009, 759310763, 474127191, 88758597, 694652524, 141456515, 141156584, 161934615, 328601789, 151239441, 433913175, 124753, 939319358, 792831625, 104331331, 965759500, 144222653, 265703692, 622649950, 793680491, 641485277, 639262901, 935068163, 493022054, 506865658, 766466007, 128909819, 292847498, 548470070, 620197397, 189770322, 969859786, 137679954, 101547459, 745346962, 434736562, 881034880, 896325302, 373049874, 809467514, 530164831, 633387571, 197476040, 314216624, 329011377, 574011244, 119582829, 207882371, 796041543, 923655974, 34393238, 584968327, 927853862, 149250315, 742545690, 583840842, 583311892, 489656802, 448754094, 2834435, 857339246, 951899538, 736705098, 572840769, 328095335, 532707073, 792022036, 718214733, 713143237, 371481719, 268499181, 604110640, 524647235, 879705605, 924568170, 7835774, 958515330, 408752313, 626595107, 26987701, 725553471, 474571867, 483130638, 406157551, 708720495, 680646016, 383006931, 490687371, 535979899, 879403030, 420058062, 536275830, 516180757, 449225759, 227880059, 629632803, 459688318, 37597535, 647290604, 661729984, 379879, 673210808, 655786710, 114463277, 49543061, 898587159, 11730702, 186895213, 490977758, 968165117, 450026073, 358566779, 728050844, 471317450, 559436176, 650792609, 148400895, 751401074, 818289392, 585569299, 519520571, 220538992, 630081749, 733916306, 948852718, 592787813, 66817993, 826751458, 192995057, 414891696, 411627534, 636749010, 713172241, 380794287, 430100767, 271009912, 631231085, 15712776, 955533373, 263032839, 59274823, 145561183, 778962443, 409595079, 241368227, 305497116, 612047125, 170448961, 73980308, 475045977, 891218969, 414708731, 693222833, 459026369, 764089741, 344269105, 972445416, 142450416, 313522221, 587975819, 21963285, 243302684, 963521039, 951741230, 148124676, 522694615, 842622031, 132343563, 667177117, 901624028, 936088725, 516969275, 578853217, 195748012, 138548437, 308962539, 335439469, 571603870, 421392907, 872515199, 358251102, 400914164, 255811698, 328756209, 987857882, 947821767, 978124379, 143520806, 228549738, 277319837, 404772139, 740917155, 189823463, 364610517, 312257877, 506552745, 497851023, 402855307, 276279337, 274210177, 804559867, 471318350, 308464080, 309640295, 261565277, 775570410, 300809580, 217037388, 118942880, 290261894, 589251896, 972564721, 225120993, 276710948, 606196787, 493459965, 746678313, 143335555, 333199341, 356291417, 512846878, 715631057, 97601150, 244565172, 241035453, 804701305, 563072490, 653759253, 830304968, 763369009, 403908899, 37819216, 953811137, 493966603, 287797355, 233844590, 678028934, 284861956, 787513354, 425134604, 132488942, 641345361, 819423998, 575077797, 200592483, 2678552, 773880057, 633459454, 418563614, 392330851, 53212443, 112684611, 649380531, 328469427, 983813704, 615259884, 814402505, 935668118, 581255443, 729541466, 655588752, 547940385, 296523214, 198690732, 246785975, 37038678, 977056316, 190079920, 76964565, 730323231, 453821513, 457798402, 623681788, 805291730, 685126162, 321816683, 649250576, 302155794, 142455974, 505599982, 354378562, 929596157, 273283199, 463125059, 886143505, 420115678, 366762201, 154930404, 861281071, 170433470, 395481742, 422967595, 587784502, 656545184, 467303459, 318795281, 28748024, 817771840, 360241290, 575114910, 564917197, 946197544, 618544260, 562695341, 431249937, 234341302, 783954580, 7024662, 257034295, 457366561, 732256592, 616184899, 706997628, 156243262, 741336635, 546908373, 798077900, 694840547, 382900399, 6011952, 74351086, 482868741, 20890979, 844166201, 5406679, 695182597, 460949325, 948918620, 331990010, 250830343, 330993093, 413773690, 518079844, 671649230, 893777350, 433234593, 113262501, 447877602, 171748848, 786528553, 508517418, 206849124, 179607539, 873787404, 693804552, 133527269, 338498122, 648352384, 221852846, 53147155, 5039473, 518172082, 635210705, 450156488, 352542533, 58309066, 889341414, 339804847, 182104577, 986048056, 629396229, 88241540, 718131849, 680926054, 693248975, 960145606, 798684739, 689611077, 965278245, 606817738, 117064123, 135766461, 739869133, 26272425, 969218639, 51685576, 354166142, 21620455, 708455293, 579972830, 639037404, 545179844, 462306787, 41017015, 406597850, 957222892, 253527972, 646198619, 41776694, 931089216, 723025614, 126360990, 990637099, 423774546, 806233157, 804855073, 646341675, 504251829, 95978726, 92082401, 496686842, 402813376, 605453412, 562835197, 445997342, 675575871, 930738057, 659512908, 335853945, 264393594, 756491177, 623396826, 75463716, 804288438, 671546524, 515932979, 608570615, 175913080, 699535464, 873197485, 1235886, 754748928, 845619208, 7775689, 445300472, 950025231, 587977959, 121783002, 613480763, 563448530, 189533576, 774780941, 299658518, 415321340, 112042900, 405626181, 770359242, 230060980, 923793704, 511067252, 13926320, 753401249, 377714922, 106315129, 864640114, 32467658, 67145493, 942321434, 361682231, 471271200, 569440122, 481037197, 360152106, 962520811, 608334954, 254612331, 494273414, 494904107, 143927285, 294939700, 946235820, 473960484, 596130772, 675431275, 944655743, 108281304, 824777687, 199959754, 242834399, 688765874, 35889707, 678971377, 930501862, 645887731, 306404364, 120102038, 570107199, 221754217, 392551873, 837739481, 195447329, 669499174, 498493729, 127058810, 171270982, 693350777, 24750477, 621501128, 779020574, 137961706, 596481080, 505225841, 649416601, 330705626, 819330571, 100316246, 648884869, 367732051, 528042454, 615861941, 940936065, 654855678, 953366975, 187481608, 13072638, 811563545, 176862973, 522491762, 495515206, 549662553, 231145375, 36782719, 413277187, 444180605, 756986446, 203515708, 356450660, 222154044, 853252026, 529607447, 867300249, 732549380, 219730350, 718870401, 112120688, 770606473, 102332607, 962369809, 882034564, 651617852, 561265444, 268446713, 939250007, 969624108, 64451741, 952377938, 883373895, 132371322, 139707884, 641203269, 32987856, 984267863, 695377651, 57723811, 737422362, 430204648, 720248917, 964235271, 999265669, 565793202, 161475336, 872470203, 385556983, 640201530, 104663033, 718964960, 786588872, 940797799, 529448619, 163018069, 524103470, 376880209, 640251054, 97835934, 228739014, 548098012, 899736858, 339149079, 614779366, 947639599, 470642489, 417249951, 316961151, 414333711, 258341310, 360088804, 675046147, 470679507, 285802352, 57614758, 452835053, 525322379, 970191599, 89808854, 571026504, 456714222, 419922046, 592018774, 615747648, 695435219, 230282942, 282777475, 736393158, 19027186, 500857806, 328180103, 410335868, 421517559, 188003876, 848931266, 833227144, 329088548, 213052606, 373398306, 69897169, 517252605, 87024929, 719786334, 246381133, 564818808, 443340473, 952030767, 677881411, 28073688, 313720006, 258070858, 419197606, 678884472, 517474104, 441104056, 25877018, 998969973, 429423301, 58293248, 893615921, 831187574, 396327903, 69762474, 275664475, 331044192, 586204871, 106698065, 247457562, 661032380, 101932883, 447005962, 830147110, 269798384, 140963714, 577736926, 678331403, 12262090, 7718308, 382537070, 861072232, 433366443, 918335824, 598268800, 194624175, 815428099, 466058727, 931830544, 618703552, 810220066, 347643021, 478508217, 72972744, 538683457, 998761021, 657416269, 940321975, 469048308, 633557531, 858683477, 985474306, 510053092, 794978431, 836488913, 896719885, 23804625, 30806693, 157532818, 624146655, 476398805, 387193175, 244376833, 87650656, 888101216, 172038950, 852567177, 756587007, 905863962, 555013874, 328667493, 961773176, 321150165, 788629383, 700998117, 651260224, 965802674, 734859467, 79853966, 113427845, 608384883, 810082674, 219112661, 212980418, 124213121, 537871681, 888487471, 367407161, 330543173, 180677716, 495153276, 974566420, 961653137, 656949846, 251304735, 576177486, 749967326, 941263585, 28263370, 548196683, 189813118, 710001157, 164411129, 393696462, 834633907, 666732441, 260179634, 539904565, 189832686, 383401181, 487000708, 672805381, 207548254, 404084050, 604070349, 338899226, 833731952, 920558768, 436405367, 560084907, 879184661, 93690221, 599280644, 345063158, 611733895, 353608516, 792441748, 444101403, 537979629, 658345857, 838773947, 779864149, 834201101, 479653095, 691457214, 718337264, 491274972, 402520551, 104392337, 926884884, 395517545, 254933075, 727980238, 882106090, 347186957, 20608694, 280345993, 599682670, 287347521, 39854710, 684024577, 532733710, 940891925, 988151524, 63414860, 969363141, 732575580, 417204027, 381302365, 700029604, 703415918, 268410373, 224500928, 615496156, 200194768, 681646882, 755638019, 266681525, 802501579, 656022656, 415591448, 507732230, 943287867, 411045609, 286299838, 388388295, 501861736, 794699105, 450466659, 436375043, 425439174, 290704808, 429067527, 427946670, 664867137, 352539309, 458320186, 78714192, 447366161, 212681025, 588285688, 566049567, 245592497, 587298081, 662326130, 666706699, 702381884, 7592924, 138896928, 155057636, 776656461, 422402262, 57603399, 329846427, 818530855, 871148075, 877979407, 736669122, 170979261, 170583394, 933231858, 468321787, 22126824, 620955654, 462989135, 331827527, 781195440, 843241523, 553955086, 54608876, 595706087, 718793510, 73604859, 260899739, 821072403, 570358702, 683195371, 593278089, 12886136, 895685746, 369237408, 874556913, 597268509, 565632490, 373084816, 972892219, 284084779, 994471530, 951892323, 436655083, 184869456, 39590983, 950471416, 797947180, 792950891, 212173316, 972900026, 737709144, 20777465, 997520116, 627332892, 932808769, 678303614, 435019578, 726829720, 511500938, 514525836, 876805157, 914501926, 607581263, 127851827, 96501445, 610427742, 419727390, 750061395, 90478656, 494842949, 54431076, 858662555, 497395645, 493028117, 971284183, 716106554, 670509587, 289901395, 415463207, 126539911, 957463568, 353605623, 315642204, 374457039, 564502927, 518000656, 988345288, 931138660, 615697628, 749355521, 279016208, 121491804, 163872656, 350425773, 559543267, 839261249, 647395242, 954222185, 234723840, 650277200, 93871672, 187940418, 967206552, 449319428, 939717694, 538549072, 154602092, 672585063, 101605166, 556530089, 588194428, 560428735, 600059376, 505614677, 168977539, 725249056, 714022029, 619514652, 644722743, 385679800, 941790760, 811608986, 30901675, 677095131, 804262519, 424357828, 935482699, 499716783, 980412699, 519211457, 368290666, 950202144, 414258732, 620167270, 139456889, 594305651, 68112144, 900793613, 399183537, 375581465, 139077972, 706786733, 848676550, 568605333, 408921619, 833324418, 205158209, 958888669, 408778556, 674522081, 61404557, 66659955, 517119318, 220798575, 342410124, 942997198, 759359747, 453888785, 320436683, 747554144, 382103145, 868163749, 973141939, 456013886, 729708382, 554392993, 457645263, 668634903, 919073463, 461790106, 650462250, 189437569, 399436263, 502082567, 312593647, 225035721, 445911753, 135961367, 964992135, 839364616, 247428634, 776675884, 513764682, 294642958, 487608878, 59504588, 67829667, 268968665, 45154894, 875783464, 256848320, 197476740, 541799467, 578759351, 976674707, 965996471, 445125700, 314892022, 744787113, 410607235, 431423448, 122290488, 174230020, 490760509, 637890779, 38927948, 695445304, 659280339, 530814257, 520837155, 907755971, 188952565, 519565801, 568939429, 191522571, 729691675, 568079039, 18309712, 390048160, 33812139, 402634569, 167523322, 567199770, 830809055, 387882589, 743010101, 321667970, 223747632, 679685016, 740856529, 59848359, 7257301, 542869034, 536679854, 426876851, 974413622, 22802000, 76123639, 34253152, 357708838, 349233243, 130171244, 760365664, 715677036, 390826466, 485464569, 525268882, 692813758, 360974898, 441696132, 312207247, 486391436, 142114675, 658280508, 255704059, 423616460, 378383307, 295668321, 869418639, 4211304, 606455055, 396895987, 652902194, 248201178, 846175223, 307592875, 68689032, 109471583, 41585253, 618173530, 546610551, 650690402, 150713403, 62711242, 93682846, 919898919, 344382756, 548160845, 110202710, 302120498, 283762195, 607701279, 865483098, 429102743, 568890983, 158120607, 600070360, 996796751, 159666361, 919967250, 561799388, 652453184, 612136378, 577092472, 459147191, 460170206, 659757661, 681030567, 462976811, 597146215, 577999915, 149602264, 296550530, 595153335, 97753311, 762648008, 64087671, 436222693, 721013187, 632404607, 208527341, 276913648, 360289251, 510781128, 573748346, 209506769, 930171893, 103390511, 188577258, 993927050, 216961923, 456135489, 632370952, 163221303, 503172850, 93975624, 765584731, 761562242, 395870350, 556408824, 55181124, 499209900, 125463160, 54483587, 89983194, 432647433, 767068348, 670638831, 705597153, 299888368, 386170405, 833224111, 480277528, 730782444, 314599378, 664059384, 527695050, 596832188, 523719703, 540159396, 1827734, 343512877, 254059191, 790714859, 942919423, 241081502, 454132448, 435159111, 260902280, 81595491, 505694945, 67928147, 161318028, 341233204, 296806228, 449654063, 142664840, 110315501, 589804701, 244296235, 622667903, 970962840, 260284849, 486218971, 944837002, 813999962, 201469049, 217350655, 721812625, 349634930, 111528599, 904476691, 816155149, 89509770, 145160943, 816696022, 442672587, 518645662, 203758762, 683434830, 956774160, 251508525, 830837216, 313419712, 461464370, 606169250, 494435991, 147924710, 376345341, 655256284, 713194796, 103538203, 80962776, 592023070, 99817335, 302987006, 616607483, 381302266, 934511029, 972636400, 272903324, 720910635, 520213821, 458861488, 580680884, 693688209, 545322626, 754172978, 276489538, 107591087, 715137357, 470049812, 412495976, 429126691, 206087088, 760835382, 574016449, 25154295, 703303469, 420760337, 711166091, 78551339, 211201451, 919221365, 683716679, 495720350, 1489083, 127919248, 952559782, 574913105, 273767648, 452974357, 696803150, 735544443, 923605964, 230624645, 813323993, 432565911, 842651514, 328096372, 523034825, 824755677, 785888138, 992427019, 892400498, 185449677, 573940349, 80317066, 952652231, 372062501, 88712961, 925226644, 824178547, 806069142, 414696501, 972060445, 976047469, 1943241, 593948567, 85854949, 462510807, 733794811, 607882411, 199497035, 901089382, 103566478, 73423526, 353359450, 886510312, 29515623, 361454114, 335907138, 396664089, 604304169, 54193487, 843279880, 645213498, 709910955, 960077256, 237269686, 308053328, 85251357, 740726676, 130252148, 757630859, 62008964, 55622821, 840787843, 488855194, 323934134, 178437086, 755596706, 237579770, 781989734, 638405408, 28492153, 472071443, 768863297, 449197703, 829056366, 863630980, 685269673, 259472907, 578217443, 374532904, 54812020, 853338604, 257338514, 536893066, 561111444, 398153109, 188686358, 908746998, 19858409, 468950810, 337260851, 658829005, 47955174, 363073945, 942761098, 337828130, 830877831, 341319081, 645052767, 558254104, 475432900, 92897661, 736869237, 507115861, 453705290, 8103596, 621297911, 334949886, 89549364, 650068336, 166926536, 396620762, 944055544, 106128975, 328200689, 921640660, 187842384, 278523528, 667931202, 63316543, 798805414, 389246196, 759456462, 781862651, 203427557, 885312024, 507420363, 32435899, 650902630, 543212033, 284326977, 549382037, 401649743, 635488515, 240279670, 20532210, 745401998, 279452968, 604112438, 192010168, 410976398, 943355094, 606705879, 954451853, 309924074, 118242178, 823057346, 450193989, 142904542, 460650256, 560564885, 442891012, 376969095, 20287140, 648722379, 278707732, 117209374, 217559502, 34597079, 180732673, 75341315, 547706254, 432291901, 949467342, 594796136, 413284488, 189241423, 188041627, 804874822, 461851486, 494088151, 994394766, 23577820, 424181067, 624368325, 280815689, 923757504, 954440881, 437115018, 368355517, 438623365, 945607041, 664015520, 268251864, 10039328, 926018893, 949941948, 636774300, 882698447, 29903935, 11749110, 482921479, 5994153, 92419280, 675433980, 187967030, 522871804, 6560600, 485538232, 717934999, 47512681, 600134529, 364154985, 929961983, 210039990, 992389496, 886652754, 585469472, 708340350, 147692530, 728252743, 780881376, 778996304, 344614999, 862656006, 290273929, 61527365, 240402157, 697029112, 874941917, 69732831, 509932152, 122032276, 453943424, 753323179, 357816985, 237566569, 806822296, 176346524, 889628870, 451920125, 436797016, 47009747, 827783438, 164301943, 378855140, 773982429, 403317048, 978777250, 856975997, 102381675, 263681982, 105431600, 392945628, 191147829, 410959457, 352639845, 693127258, 604552840, 290493741, 12938023, 782099757, 526194415, 843390096, 476798929, 645265394, 925964622, 34878746, 591501842, 71703717, 976619772, 204761005, 103732350, 751236564, 926802506, 37288273, 869522497, 766248350, 774142686, 676229664, 857674426, 76521517, 208235942, 507355293, 586553827, 685828354, 108575516, 299057852, 155157682, 768522426, 134774150, 346709638, 516474602, 632160355, 343374737, 891607539, 750737100, 792015439, 765772907, 265010066, 67069619, 105548256, 411777512, 322754819, 288439374, 287714508, 366796672, 101070776, 157038394, 9844160, 844144089, 378993199, 949904936, 898475096, 59730013, 454628782, 813987969, 218487630, 123332815, 548131200, 313119730, 678002330, 528647702, 42190126, 921956980, 484396219, 105696027, 312080216, 364652758, 126930845, 70688533, 429593213, 942127361, 28026149, 988803528, 149540358, 72352263, 198331891, 966030806, 318514174, 653683902, 408013344, 319763927, 272980332, 436859647, 660404189, 454092514, 576029198, 23454836, 333841160, 410890535, 108841435, 106097731, 560779128, 744997752, 49190282, 21862704, 12296944, 315295697, 318529598, 862140561, 19730801, 871831935, 97818175, 280342881, 826474825, 631737687, 188181695, 916889024, 323960931, 116278491, 411763512, 945593964, 75620691, 253743109, 356901230, 74491, 461054191, 676224826, 899985858, 845906432, 416058238, 515440476, 395773905, 798359484, 250794975, 642980335, 211944980, 595445056, 84146634, 65105911, 476238921, 661894951, 398878288, 196789467, 471907544, 304816424, 95596574, 634376441, 182169178, 703562960, 511957000, 687358401, 629465076, 515072607, 308883369, 388190008, 62450068, 67879479, 739189054, 281683990, 381182432, 224503331, 87094570, 338271053, 166002021, 575824828, 710383364, 363830087, 317693526, 763695560, 444389091, 579977050, 621292506, 292171269, 292036142, 576908307, 583158825, 355141763, 26569236, 900368538, 424912772, 297803740, 401465098, 692951565, 675614906, 487572644, 628278290, 245504108, 777142957, 132725311, 108269053, 217465599, 269412591, 468720599, 599053337, 54776237, 483125667, 450537345, 983301403, 214983269, 480505186, 365836245, 539034751, 246994365, 178130738, 880124086, 71621815, 176828227, 106982176, 414203362, 780390979, 521956409, 920724803, 596177494, 490056152, 958227187, 261272311, 285649190, 300332085, 441304985, 240464391, 533649392, 164238207, 502114127, 331594292, 298934149, 947669621, 36751468, 232522956, 741957135, 238678731, 835647820, 512663447, 622029974, 991843804, 536217485, 352734832, 838182897, 215689599, 486477496, 287584769, 714126903, 370223203, 619271833, 590834869, 462693107, 955149778, 910383191, 239414719, 372593387, 554289349, 407608616, 831634986, 597245795, 201235601, 827562794, 622103496, 322527681, 835031358, 131615771, 512222838, 604527335, 705351655, 813184053, 82116070, 663014810, 364896329, 550609700, 687126791, 238474644, 287184742, 323887654, 634876308, 467773750, 562857153, 198099198, 167047672, 491333821, 460577234, 770241682, 704386002, 587002638, 452318744, 326462931, 444057587, 975586497, 385201391, 481913313, 132476205, 569399784, 347397156, 119448826, 496990273, 944347738, 932211089, 331708225, 713392877, 759466099, 258212480, 301576651, 915298979, 257119860, 763561276, 809372108, 665090309, 149701804, 594211649, 325639206, 298523674, 520986936, 814054495, 97740115, 856838477, 255841214, 897575341, 850972062, 121307254, 48812244, 701609591, 621161859, 872845322, 135688387, 175200093, 630484481, 120429717, 405822240, 818492399, 333561585, 620603847, 770001654, 247363681, 839816985, 853031016, 630698442, 218699840, 948490508, 890784741, 340850183, 811334721, 370837256, 875285081, 346867064, 759138882, 44896094, 860240021, 996786680, 203095330, 663479406, 55627309, 679023496, 813841007, 801648280, 853477103, 109264626, 45529671, 831357322, 674888319, 688589802, 278490369, 90713271, 521838323, 563946099, 638454800, 274324920, 471110778, 720349522, 891361376, 58837066, 126968899, 132779449, 372878697, 550212995, 768271789, 388388921, 490611293, 520729888, 714010503, 425367677, 980499590, 53682826, 495814758, 420209720, 425398878, 637592680, 802478359, 74146929, 59204571, 687020073, 600045690, 915772320, 104776854, 767876472, 261305102, 173080802, 889442235, 700394821, 913551944, 163358995, 356012385, 20836437, 889116796, 675684916, 669545631, 873234091, 43643591, 510913886, 896915606, 670586605, 613337861, 274447604, 810969909, 839071190, 842027954, 348907324, 88169643, 95965620, 389162190, 365294233, 353038016, 937646503, 256765092, 629695370, 63027373, 781300611, 359253006, 933728524, 582093218, 863710005, 466720740, 913645571, 73393635, 768988105, 382849926, 422095214, 657963948, 97538044, 692109490, 220102113, 835937404, 797274440, 329842730, 133698736, 400147858, 26257416, 259742917, 62181145, 904229089, 388469144, 519008913, 215499732, 866810355, 121597512, 369821025, 941069709, 218655641, 160226328, 409153117, 336544517, 101259216, 489175794, 300287376, 992784245, 749164341, 2445580, 89046366, 388248785, 66474015, 346576524, 227382280, 63271439, 727220011, 744583940, 108069042, 31350640, 790439316, 823055234, 929789968, 387337050, 751556105, 145534419, 519287566, 352444842, 330076346, 840679099, 593565633, 736330035, 24958015, 976674700, 893633365, 317059470, 533037162, 894170894, 927997023, 754581161, 991362642, 364472771, 208485181, 322378908, 361671838, 173979241, 81552606, 209426265, 834925895, 556019333, 198221426, 170669184, 384994908, 80428378, 704881807, 3593661, 6573334, 144754552, 114947552, 461728654, 451694388, 964977072, 238226403, 585543415, 472709928, 195004430, 107335633, 1506421, 189522516, 192666685, 297647017, 530803825, 936143496, 796374115, 33331044, 877735110, 373495429, 256780854, 666405337, 266424732, 642194561, 218778538, 933301884, 560458711, 862667019, 641270826, 597489802, 825055454, 310991037, 886716246, 801331300, 819686132, 377716810, 538967083, 721233431, 540443917, 736405181, 108878961, 614085225, 609650688, 793930364, 750643081, 964600424, 58043472, 475618636, 216180544, 561389226, 899874894, 890924761, 390586212, 115841647, 444324272, 968327932, 897277973, 306121267, 757235260, 981547317, 984408976, 933568848, 782478810, 503705698, 227520156, 366931172, 802643943, 586174083, 268766476, 278658148, 37789721, 855010202, 864026513, 780859044, 890812990, 368123493, 771935899, 623584376, 625916325, 624700824, 386228782, 114220512, 507684639, 340450878, 297399858, 45731979, 786502574, 346322754, 345148341, 977686173, 381465141, 960637916, 452569653, 404815054, 971199706, 231132982, 319193096, 341019585, 435491198, 52940167, 890561479, 134154826, 729804631, 174736103, 155227399, 143146097, 388636857, 323059754, 367354052, 329389346, 222308289, 366840704, 775083788, 881243409, 718043524, 602841187, 282168672, 996385689, 646079310, 227344377, 71242692, 46212885, 838422408, 428386912, 664362693, 100226579, 544958506, 824252857, 19555337, 197705844, 3370325, 20915689, 620549380, 955517319, 369067648, 158922429, 787727323, 693109087, 906417445, 442401453, 118666206, 212861101, 699529174, 693802742, 775385644, 153536184, 309748861, 205434461, 572291399, 358580593, 255183429, 345737914, 615682211, 860712112, 165165201, 674424704, 878020737, 32346616, 33146329, 389321732, 547301754, 614722937, 636962093, 296216623, 936539595, 487557205, 148332466, 113187609, 192088392, 701326689, 668156251, 473199433, 110849130, 493153163, 651492432, 486136285, 584213745, 983857765, 102083034, 179594138, 639270791, 533560064, 52237668, 617203425, 942172480, 948509668, 207264349, 980993235, 882855042, 331402061, 325265725, 943263833, 138095142, 790230557, 460522616, 332759364, 215231904, 696654532, 895661065, 485737571, 768338443, 143834007, 78369031, 715480182, 693304751, 352750107, 497185408, 2523751, 942447795, 300229745, 366247638, 979614797, 457280837, 963792885, 691321472, 743819903, 543788388, 582935739, 491631260, 722900042, 560189706, 364130304, 434732407, 60869560, 240234989, 327131400, 431354404, 584870517, 426661355, 341572312, 496353025, 256219850, 179538208, 903373229, 262869646, 243539230, 45745999, 215034504, 219065284, 325162518, 145914071, 756078132, 15082699, 249267847, 724457743, 131756655, 709646699, 719684624, 448066462, 174534914, 237294283, 748572127, 732240040, 760127555, 152306910, 590786293, 354965083, 704223824, 656864509, 200374705, 2383527, 452395401, 611883578, 702291743, 28505247, 660251665, 581619957, 492688829, 714298256, 689841673, 260247621, 905630266, 654225147, 543682463, 420906249, 216940023, 295195823, 972740617, 56721378, 824712797, 819681621, 978746224, 770375314, 951445894, 883044334, 740303190, 123859735, 658396848, 306381452, 793349926, 242463072, 942836885, 801427657, 148508709, 554498083, 553057726, 397332994, 125026222, 392847144, 175666647, 654252491, 342320257, 577296451, 885432146, 107299371, 551511668, 984317166, 530511670, 462401524, 428062502, 883017289, 882702968, 254456105, 205997673, 842550803, 883475577, 51583597, 257508423, 169601296, 400333457, 551645008, 192117576, 84841898, 99631549, 33596512, 224702761, 811524188, 667180317, 146653430, 508120889, 206559501, 69242418, 627241156, 487344554, 330354300, 742646173, 229226978, 966146983, 341149966, 579037588, 968431926, 924871227, 969773792, 655567459, 833370721, 481360755, 187527263, 938923514, 859136319, 341243051, 323888544, 328098446, 485872718, 143493190, 127354097, 558364639, 940054105, 245522026, 312419188, 535690438, 604357574, 603202724, 238375522, 451369855, 551622989, 777113536, 353551108, 148824621, 897163892, 787118567, 835224753, 868124404, 978863311, 318984169, 516507005, 786243998, 756725958, 519329520, 382069550, 726336105, 673036944, 314855287, 809979333, 857615322, 497763965, 632086525, 506845477, 429090790, 939618221, 340583166, 530479476, 422177190, 51846929, 133174439, 999396899, 280030502, 832076716, 123684871, 930810433, 401218833, 216824866, 161760394, 322801574, 413989659, 399632867, 405322007, 274936556, 415787731, 178403620, 589775356, 290509818, 1601168, 144754912, 143545673, 373928266, 368590723, 878872932, 97010082, 600303422, 705718608, 902996225, 790289993, 87617603, 624692735, 825189477, 715272771, 556408060, 401207721, 337386383, 916549505, 563513543, 79951149, 552089828, 815068660, 130738413, 11673128, 386126425, 933528386, 58175310, 964007685, 892528561, 564738022, 674705551, 438209291, 178102526, 615044425, 556943805, 812673853, 807368096, 284142562, 886263918, 130311560, 15890729, 944567519, 222452928, 216414152, 466215237, 142021951, 16708020, 563449197, 651349363, 247087142, 664239003, 154194589, 364609849, 371122379, 170254603, 634904674, 749839009, 182497156, 126840791, 888781594, 364322195, 970994422, 801257174, 633513663, 809688600, 241600422, 164467942, 305190218, 470914282, 34861712, 217859685, 911379349, 669307726, 654280506, 687427573, 86894855, 827724312, 505143355, 876224905, 184027147, 472225952, 942661575, 759292581, 211679644, 262274951, 779460004, 509335415, 222788471, 890122298, 2485663, 457665923, 943755770, 302538453, 840242731, 816058606, 761123380, 999309343, 883258988, 126298867, 732641819, 263165112, 963564214, 68520911, 345626042, 896294063, 700530502, 24099753, 994019818, 181983119, 202853918, 341250889, 538910168, 931148305, 511343367, 292780224, 918370088, 114772976, 901218520, 427136681, 447266585, 141521387, 934492809, 164704934, 113228195, 864807970, 575177924, 55857009, 237638244, 352920568, 272892643, 448511894, 947639874, 473477295, 980573371, 832876567, 334488506, 180502246, 2667579, 926665041, 493853260, 908430489, 767168278, 496559748, 232989943, 266544120, 749282697, 690366929, 937139268, 233068594, 831929174, 736739566, 727045468, 965773062, 371713766, 661706358, 979640337, 607841724, 612573592, 337131509, 122530384, 346218166, 252738386, 402912045, 650099766, 589424664, 81672649, 342581915, 368197438, 583738839, 50024709, 824583477, 915916573, 279240560, 790247458, 148060909, 919816496, 216976280, 177696024, 673713296, 623364768, 252499773, 308706932, 734633216, 683751755, 329116579, 576084207, 307699920, 718036261, 207495697, 718824263, 467510407, 604823437, 560787959, 237520535, 200288283, 972596876, 76041606, 404206687, 388291571, 758236157, 475568166, 475269504, 703208960, 213125488, 304925875, 502024460, 233120100, 930681011, 260235569, 534784773, 459685507, 351343802, 552396959, 753404014, 217165295, 929798959, 320628615, 795057070, 707534466, 138166761, 899116919, 418097506, 330595338, 839062347, 298487868, 175306744, 165776804, 57775889, 629015561, 838168884, 764475714, 860993265, 305178868, 75508475, 872411436, 819931085, 266973893, 793306073, 401603803, 777150241, 536363636, 139947850, 922371896, 752902245, 102256873, 907289116, 290881460, 113101821, 400500599, 894313620, 911494699, 239336965, 944458417, 512154529, 886405457, 160329315, 730082805, 85485640, 99262117, 611245911, 704135901, 434894127, 849356200, 831961923, 375123350, 259481359, 523297796, 669473132, 142420477, 776309401, 523684234, 706139880, 472202510, 689611632, 959583568, 976517997, 904880718, 68276919, 964232683, 652509757, 86329083, 439739195, 253834810, 539377712, 221754327, 619743674, 805569353, 622923257, 332163490, 207568608, 501753456, 54831042, 168242744, 253588700, 356703694, 706830327, 60964459, 256051364, 444735418, 443350605, 778741678, 480965483, 448239926, 825414080, 361418670, 778509057, 766004579, 949666109, 180237364, 720493277, 889353474, 609610535, 643973157, 299202854, 841892295, 923691777, 256096429, 174952113, 37460992, 579635160, 930008193, 674772619, 223516959, 229232679, 877028463, 934688075, 36673116, 695967154, 701633702, 642075008, 930139426, 566911508, 789317256, 846376915, 516290108, 306063274, 169921887, 28663614, 94398885, 66035640, 455852177, 959317061, 575941490, 715419348, 913017952, 297555982, 318473550, 459066456, 570968712, 681546928, 112548413, 838295220, 847734635, 964279083, 553568080, 387997512, 373410940, 562825422, 132025854, 537333869, 903874802, 529750167, 821765812, 135162531, 810993747, 629049966, 932315768, 759525251, 276365297, 206587206, 421837164, 923536030, 364735029, 383830653, 706426910, 597353050, 912534172, 408520016, 241381474, 241959948, 536939940, 58809499, 819547366, 57143611, 768468372, 815771249, 624232541, 227518437, 241975940, 588806495, 140319253, 513104836, 800619733, 184823257, 592576364, 323451691, 595372536, 45330000, 299675436, 405134548, 579137606, 475131579, 416297046, 766734725, 287540872, 636347073, 930603949, 822285694, 920249163, 254442680, 958829309, 601831420, 870720724, 87291397, 742381866, 2228039, 353775504, 419403740, 614699305, 575177325, 858031502, 390153394, 667231167, 567415415, 229643799, 456195978, 728795127, 108203092, 820895212, 224531809, 382719967, 713011118, 821354012, 506570790, 334414589, 578416645, 251787310, 38547919, 370034031, 288451980, 191857427, 272695304, 703941354, 790194270, 221349815, 105621231, 820066783, 243458598, 244395440, 310989609, 909875910, 815092113, 898862982, 241159448, 1296261, 452049123, 149478599, 343661398, 248083261, 633418014, 553161072, 664630466, 97610452, 965474329, 946391479, 203230743, 205961880, 232915649, 734262918, 423821462, 133643776, 747079142, 303219204, 806389553, 246554436, 44527246, 247570725, 383841522, 851527552, 340236384, 292862879, 769897558, 103663194, 763486975, 739692368, 401500295, 795508782, 109523558, 61633284, 434619539, 438516970, 992915766, 388568812, 267489593, 130757655, 186140258, 286667871, 952323471, 752237878, 935848017, 878307741, 109018889, 601394567, 563482529, 571999777, 322626077, 390909376, 846096402, 600190399, 735143653, 196835312, 233498935, 437596815, 178633224, 484556384, 144762194, 590861648, 46661593, 361771628, 602207099, 203561652, 150419743, 130284977, 564834683, 810698675, 476041763, 13636022, 355284560, 710289813, 536185256, 899216126, 609060768, 68988526, 497756395, 562852365, 947561840, 434860180, 748728941, 256552555, 476843760, 576388339, 79097457, 286291504, 943030870, 185050331, 225573288, 74761609, 934719307, 897073749, 496878800, 367622760, 884236366, 328496395, 919260032, 584022119, 469228965, 318167713, 181561505, 662284707, 429180824, 300203570, 771659821, 724977173, 787883979, 301894567, 585785234, 881804964, 274799149, 331230395, 307487166, 302843983, 846587780, 44447204, 202469318, 36206237, 511684632, 277516549, 307472079, 939080385, 225766701, 849930939, 311384788, 472394583, 527915803, 832195220, 200077877, 796096062, 516491784, 708719819, 342934450, 812498928, 526206335, 389347399, 148204903, 15454129, 984873711, 428957646, 512757933, 269747731, 606281997, 313802008, 855946928, 513112949, 683315728, 539858367, 91354308, 879165180, 340090554, 43228532, 708742219, 911530212, 149971695, 988428945, 131583109, 735401458, 365829087, 211828031, 421143619, 601238749, 476819781, 335582459, 671069547, 768184350, 989155159, 805870337, 388145753, 807171417, 642895230, 419971784, 167123588, 819677966, 111163060, 352757236, 858616860, 786441520, 563078389, 835716764, 876846931, 177740995, 328312724, 258150732, 999457331, 381137206, 773002559, 930941119, 33331064, 571808822, 860224325, 5169680, 44572311, 428506129, 715544445, 95366896, 760678428, 914902051, 822799281, 51839294, 270529588, 606751816, 358002938, 994201837, 661340921, 29504257, 82806294, 786556737, 687179247, 71880628, 860013534, 590758571, 478196158, 889139433, 607486470, 673083735, 792292981, 210148629, 871020208, 296988135, 233098230, 463974030, 202080817, 643689123, 681727633, 141195606, 249765139, 711030920, 417679139, 745849483, 492218423, 220908611, 613301584, 368211950, 314933825, 871266213, 968142539, 332040435, 334231192, 921237534, 378894771, 664142716, 229317303, 697854093, 774119586, 148802767, 382102830, 366670070, 789535873, 534122571, 309711560, 94011939, 589926549, 188834194, 115535191, 711162082, 555925720, 7002979, 204269970, 393755795, 83598919, 889087085, 231054541, 616367603, 332172663, 846354361, 762904132, 483978370, 388053245, 349375464, 120420667, 965019387, 992698407, 608212998, 123029673, 646705046, 700986443, 140089200, 608882686, 828866257, 839379649, 157327266, 652885627, 195294517, 720232077, 708097578, 835011664, 714642895, 774567496, 789382768, 691386834, 118687277, 875135935, 71172363, 894427614, 567968557, 652801945, 779084789, 757904635, 650130426, 923491064, 685599842, 569616529, 892586384, 941009696, 597647632, 224218049, 771556670, 840143713, 568434477, 427421857, 834610506, 109965859, 488724535, 527432403, 991424658, 466773105, 328668150, 243222109, 719929839, 304734422, 173288498, 984566971, 522176431, 466762075, 395098292, 593833827, 98854392, 276443183, 507344064, 675117556, 149691642, 37771841, 474639929, 220141075, 602080023, 457835165, 546781840, 674934648, 661852974, 75086349, 468540557, 965844612, 775126601, 771689260, 429699114, 371626800, 370841970, 525603562, 322408121, 690021656, 926277651, 792721379, 16272622, 35485842, 210387990, 898597928, 108645744, 2122338, 411426190, 82592546, 245267840, 315012850, 229946792, 35764774, 273148739, 814845359, 711749648, 175399244, 696448135, 341232351, 576764631, 473822515, 970752050, 335225912, 737781582, 382496644, 7594891, 705643247, 650504436, 253528048, 614337705, 143988244, 375320933, 776355647, 34118973, 409615468, 290052317, 747616370, 991319298, 77343623, 492351330, 889219555, 571052103, 264197346, 247410103, 653749837, 517908997, 644968678, 259191940, 779786323, 116813849, 645593174, 747223943, 669162150, 743898321, 373779841, 5589128, 485343360, 955151562, 19124982, 913191265, 959180333, 941395844, 57177975, 247733200, 348242644, 932809486, 220801027, 314342817, 849078913, 689837274, 828320817, 812512107, 935871982, 491117533, 705969573, 883338164, 191921328, 431054839, 955886323, 610036057, 733194257, 165461689, 636722801, 332074028, 465750804, 468435845, 281400399, 282961663, 746820271, 630074460, 917511048, 764910893, 421072816, 300235348, 552676462, 309288173, 699634446, 590918152, 684936405, 967946280, 967174568, 512619680, 99143832, 509732001, 183734492, 495372619, 691135819, 648986742, 531741064, 464867561, 714753942, 197139021, 535870931, 614757446, 869709312, 870406399, 67617404, 9532461, 665321242, 727950511, 416493618, 987460764, 267632368, 911455087, 676717286, 321418732, 11414781, 326943209, 721435123, 635384222, 349346928, 963909163, 60519145, 916205082, 370407446, 466782439, 574824633, 926709069, 740768506, 113442229, 7099927, 84276494, 840923872, 172624922, 191484246, 933722128, 592540553, 628852234, 354826023, 23853996, 489562495, 870293185, 57272384, 216692016, 496486622, 151222573, 56892477, 69034191, 541218678, 772923674, 887714933, 996255454, 489434690, 753229808, 153655952, 359026852, 372931952, 995642003, 462555795, 573333976, 97599821, 833230391, 155796415, 880422019, 498213570, 623747778, 10257600, 393879633, 133079599, 236923018, 16209432, 967195347, 884797525, 265378276, 873268277, 663377583, 491378097, 300579224, 550160857, 469099337, 83868101, 748082505, 49856278, 565885323, 290601848, 756941219, 576053152, 38689647, 753409730, 845067880, 737596433, 737716690, 326247243, 30917059, 663643978, 800967165, 655075700, 379185499, 396183545, 17045327, 443155730, 290198922, 174686966, 558767936, 100406785, 147259422, 778019993, 277061718, 226951249, 26011274, 15131696, 535899174, 195883282, 975962472, 784007110, 92945434, 523330577, 966222974, 611528047, 16453396, 162138411, 124157487, 304154289, 909044262, 856171425, 337183716, 98122241, 863543840, 531080568, 541100194, 246561842, 277479130, 135229144, 878675223, 189501363, 292224679, 54657174, 242082221, 922715502, 681909321, 409630571, 392113409, 402072938, 599517801, 943374964, 501999289, 272167844, 417319790, 165328261, 300527810, 844672458, 216509946, 141248846, 151663122, 150795969, 400378226, 204280555, 987794009, 56750015, 521960578, 664746724, 506197840, 613830596, 393932286, 440269670, 70201417, 160493840, 996595899, 275357254, 351930528, 486991418, 945286016, 549429112, 412112715, 555782806, 162316099, 296837100, 206012207, 25357440, 481480845, 151977343, 357652412, 248345190, 533804092, 722314689, 176960096, 982616939, 275331478, 797803913, 13590981, 104029170, 436774925, 589004145, 316468010, 461980739, 170244783, 981474134, 716620545, 277327619, 603363148, 355457043, 663178978, 981669626, 477396845, 241670793, 532933152, 574585592, 131785969, 311376382, 603434083, 481091976, 192072288, 99957937, 169751692, 712626952, 129418392, 307211730, 910058086, 845955868, 385565675, 46699667, 864248098, 551437871, 197447398, 966503550, 217043248, 413667088, 895134918, 656726631, 957185869, 951787169, 143911377, 905649549, 978293390, 238054220, 924931296, 594201964, 716282060, 77895784, 725070524, 159931695, 628579595, 469318889, 455314685, 12780779, 652005745, 831500225, 716871523, 568703431, 341115995, 612982744, 317635473, 480886618, 881743556, 987465115, 299557621, 166997973, 497051603, 517146577, 337993194, 263795916, 220726857, 954944514, 727356457, 160869937, 742894002, 484894289, 873105749, 264300683, 470101030, 828410616, 649834954, 131310764, 708815372, 340464412, 284525032, 948060390, 718750297, 608238287, 819121332, 690457673, 442092316, 311572830, 889430496, 605093391, 150639231, 458908945, 77062919, 160065624, 538556792, 425544731, 883991837, 497783498, 255807027, 311584357, 501770813, 269053359, 970462178, 726903766, 775357828, 36082331, 325059679, 182992512, 255348018, 696651389, 617717502, 346072263, 720856940, 562149168, 197332779, 402881934, 114039203, 678561105, 955531152, 846893828, 111671648, 833589533, 275772851, 561794370, 302337714, 75522716, 652442405, 759656840, 670438152, 875738200, 717154166, 88492204, 360820963, 731214487, 826149847, 60136248, 492581032, 48401069, 582886153, 746082421, 628459051, 301513073, 964931427, 943822349, 881602448, 471077261, 899039051, 537271100, 125285514, 364863463, 304738885, 810734949, 217525536, 622262443, 298060722, 255484731, 77270943, 903089531, 369231310, 76156529, 740081942, 414904814, 780670037, 347410204, 590085941, 111809332, 163678961, 762224814, 456650521, 512545263, 248460257, 924684394, 135093636, 305759105, 792431560, 297965023, 73160054, 60953215, 356429391, 838476535, 769244685, 819076971, 355140181, 989750865, 60697465, 238913001, 171875699, 715041701, 129116169, 914905188, 444205677, 538507012, 894534372, 726501558, 746750356, 463645596, 447093311, 955572002, 303904900, 820498411, 614198317, 299601807, 672475985, 178329893, 386898082, 507951567, 90565613, 408052189, 206031063, 735769477, 512330187, 658469434, 988204162, 360136538, 857806660, 8455218, 725382235, 423369085, 174745676, 391247427, 659798470, 481576274, 721609002, 696155145, 134764146, 543546156, 981562542, 112395501, 949402400, 675883947, 309908241, 212495333, 347638318, 441209541, 429208245, 810701423, 905161622, 338946563, 285410195, 177610725, 349822007, 384801457, 71583996, 679740398, 992348606, 624275578, 970495818, 202958244, 549899989, 355193618, 891539908, 380565576, 485567079, 786777132, 175571018, 350228502, 186642900, 670911587, 623604626, 35961283, 197941849, 444438724, 651175756, 365739718, 853779461, 15479468, 343423745, 408758931, 270847298, 115704228, 441298396, 856469504, 711561693, 754271585, 23230733, 603922514, 790928213, 172902891, 790489409, 288302827, 496632360, 127693902, 139212275, 856095775, 578240697, 830556423, 211371312, 216137333, 574601624, 643039625, 47447139, 451853615, 526473527, 324910681, 833191106, 940216557, 256952189, 438936023, 118832893, 866666735, 692895981, 202717367, 838461080, 793432999, 333566924, 142056040, 500648794, 394128810, 683669364, 625600654, 116238339, 250517781, 182900485, 427175538, 684114567, 54652850, 517991841, 208053068, 321004655, 869524981, 503126253, 15557551, 986350531, 172638625, 462310546, 692730350, 830874415, 538007466, 467568665, 688214734, 35635582, 910572150, 551848542, 737790899, 314129203, 848213256, 795562662, 890237924, 144281277, 959918406, 326788360, 516676508, 127183260, 129295268, 14861176, 849229381, 278317776, 588361935, 739228600, 458668599, 921049505, 89684662, 305769415, 952522839, 174783528, 108113333, 200231713, 752854707, 875611991, 562106566, 884732125, 84445640, 773011082, 311306365, 285960302, 243351270, 444429032, 612119425, 605613360, 148132650, 727859972, 775426506, 218757739, 965869805, 186283139, 265651912, 552284647, 531621238, 308091299, 285858091, 496561622, 356903067, 105598590, 834172098, 337784026, 184429501, 103680041, 260411022, 866912870, 268222471, 882691939, 885800129, 216761758, 720517285, 471827117, 503656485, 379784579, 193611947, 230617499, 393598069, 147872704, 47832212, 795154177, 334416484, 812608691, 880233927, 318271661, 389366914, 825446723, 846128679, 786364948, 146390401, 359052760, 658841513, 188786748, 193229739, 317841406, 397940755, 779133883, 433548372, 63169169, 68198992, 347732960, 895531743, 340262530, 883829645, 577687667, 809082901, 974856984, 147195649, 211503847, 964963305, 326018069, 666639000, 731789399, 402456596, 136500214, 866543620, 509551470, 382859698, 420308931, 65053306, 860155374, 587342532, 141352738, 85276281, 364810473, 943359649, 903331516, 664664903, 72762453, 233735741, 621234292, 889690254, 761570973, 351172749, 983178971, 687758375, 761151584, 197501459, 809638294, 326961600, 920557209, 292709367, 89133171, 857600178, 57601131, 846460825, 51023366, 655520080, 922782738, 399704722, 617942162, 960947717, 429122176, 97534186, 186054681, 343987988, 705646722, 309696483, 235932081, 493382332, 726182976, 318921176, 354494666, 738291736, 888761660, 697356338, 584807198, 266813260, 975682510, 866908729, 240093246, 859579902, 419350290, 723804590, 248681241, 815836032, 510995374, 531738829, 7294828, 708931767, 471288353, 275554581, 618558978, 816952183, 187278273, 749390099, 703631527, 604621831, 429506151, 154142891, 302263749, 611545796, 846996636, 43594794, 801839565, 921413438, 525828007, 122589475, 176277933, 903890452, 799404702, 308100551, 150631897, 305282410, 810160102, 19465048, 395391701, 311613343, 648529542, 629343567, 718329806, 559516352, 357111461, 274287963, 8396295, 725989407, 327415991, 190099864, 105927111, 377603136, 450288513, 133656877, 500766126, 851238139, 884020449, 325151013, 743169062, 902497773, 652079030, 668378518, 368995896, 386607899, 691214199, 346704290, 647945835, 161377006, 924157048, 474027284, 96591334, 459468867, 319762330, 829990219, 582794329, 720027533, 542448290, 712524913, 317718028, 409626144, 566929994, 154869526, 762725987, 114903451, 34519031, 230779239, 273692280, 500305727, 245412385, 946397573, 52926862, 178810396, 626767046, 179518163, 23796736, 111524030, 400570064, 179070689, 543990876, 844081156, 274898140, 973996279, 701255714, 277361320, 287179620, 782401892, 646999208, 110750671, 495036513, 537220560, 508259917, 70677560, 256037934, 159185267, 568087093, 885847818, 696253671, 304208261, 822676334, 317873669, 940468425, 994816474, 684051003, 67601297, 401219950, 261683736, 245892788, 782852866, 171908151, 951625960, 45067575, 174071999, 553856152, 524671144, 579325786, 76781989, 198115961, 754188767, 516706797, 433475716, 757620603, 121182807, 214891664, 783574129, 848486995, 776850156, 552864948, 702330954, 559557619, 349584080, 232934983, 604905862, 908307233, 357069126, 439021576, 785155835, 464802891, 947499991, 935236956, 921709856, 557576206, 459424110, 874578471, 538500711, 404985096, 961299571, 662645529, 187108129, 707013682, 564861756, 139054917, 254934715, 108146740, 332654662, 618218064, 326797180, 446502064, 635943360, 242264112, 624446528, 419804928, 657372576, 496590563, 487422112, 520487459, 65002759, 954926411, 420739264, 4629750, 307770915, 76050249, 178083942, 613797993, 905776840, 595481503, 403495519, 537391643, 196618850, 555136813, 623974333, 788305609, 156975859, 496600549, 696842923, 212423308, 186174568, 455889854, 824159707, 877694475, 87778188, 592755245, 325440794, 700036990, 34435983, 100302179, 445082027, 763969412, 647203902, 900999318, 780639300, 605114802, 679171390, 735548210, 732261499, 161093461, 686410673, 413103646, 728683711, 536976503, 381454765, 565448107, 718075155, 778796721, 637835073, 800609433, 452390068, 761330317, 312139148, 888760704, 678280849, 308320574, 49932207, 483223159, 588307426, 893664014, 517592341, 530807511, 285954986, 468545089, 689707523, 800292117, 772152244, 7990946, 891084183, 129210434, 951134505, 819426818, 500608988, 955321609, 514431922, 463864482, 629546791, 181577976, 271996530, 535077051, 229462337, 478501101, 345534216, 465204493, 583777110, 717878463, 292950875, 244663870, 768202612, 39017386, 321258634, 318946714, 180481276, 895538835, 397071999, 667920254, 411635159, 875946097, 747823292, 261573979, 323812523, 301870962, 556806316, 261836318, 208149186, 370451018, 319893586, 869934944, 481834746, 584462390, 425569080, 222748252, 198928317, 285395565, 229135683, 507914373, 351151814, 855402136, 691906968, 426792279, 384295637, 815344288, 299476620, 621787210, 72688715, 573638719, 118159492, 813317062, 994846028, 4518752, 798829121, 765741657, 16192504, 602114207, 216799126, 958166645, 31378869, 959813391, 38799008, 555998006, 497116372, 27872651, 800158934, 667857678, 982254864, 635789645, 168248783, 417541716, 121571114, 124069427, 436448702, 714468125, 695824381, 238411132, 362919883, 845521108, 642908282, 369896308, 795794078, 600607153, 170322601, 37316977, 499898838, 926569982, 990917842, 469875189, 104152639, 99860091, 279168211, 935503027, 368338079, 330131944, 475639669, 948780662, 847346418, 579235732, 124880009, 530392900, 795897982, 768824022, 954123240, 462406279, 924424797, 271196728, 503132798, 112346724, 118022598, 203211167, 307096610, 570181950, 614159128, 867605898, 410742420, 314167217, 361318670, 899673072, 398413446, 822289399, 225042271, 111860077, 898337153, 39966731, 945479122, 660408043, 845059975, 143399043, 806008074, 413451096, 414416193, 882411200, 16467106, 790011171, 226695776, 725643439, 40797494, 150773881, 983952594, 604341536, 730296585, 462680154, 251211854, 290187860, 799818218, 906571088, 254653050, 675372550, 22801816, 126530220, 14992927, 112264564, 197089011, 172244655, 614451555, 768365014, 910822113, 992760204, 129105921, 430226591, 897497459, 931249745, 396653738, 422624723, 984091384, 987436359, 341613038, 580252753, 783511148, 757908942, 978700651, 927146214, 584752419, 673605257, 657736746, 324743661, 976406808, 359282989, 427280636, 179512188, 909630560, 754288656, 188828236, 606197728, 758084015, 663095475, 934501590, 927520701, 900522789, 330291429, 503860088, 399510835, 307728662, 173252641, 190927166, 533564841, 701766501, 844110625, 148396215, 861656275, 661961990, 64951157, 991494201, 233129004, 193781672, 968119667, 875042747, 617016784, 480017654, 478798824, 141272492, 745543379, 69825142, 415018371, 381816417, 368776100, 159288793, 888985412, 25290786, 209986561, 574212323, 959608734, 995090267, 818328775, 673706716, 658366558, 758679706, 458933821, 461397169, 972451593, 761393454, 916773126, 220517251, 225025006, 283461914, 555531728, 809655698, 508845674, 429550590, 427426595, 945744151, 593790337, 188549867, 476709000, 51051831, 798837119, 572177077, 925240360, 335418319, 131390798, 99192267, 758080151, 207985688, 563466124, 131095658, 342935963, 978176437, 470369552, 299131973, 801073091, 776822740, 456306989, 628620799, 820493540, 787041232, 6243147, 234409988, 950735830, 628679782, 469878802, 72828184, 641006927, 145431804, 602398804, 998999125, 458603689, 337191743, 208454223, 425335525, 486375173, 989392470, 528634601, 194727811, 448152245, 946919045, 757048922, 521692152, 338281894, 892459725, 424895829, 333941973, 473741293, 247440605, 40670577, 692498579, 18670188, 653396756, 423016873, 801403100, 956227446, 636510628, 768939005, 278377353, 716953529, 191407110, 91905230, 172073469, 347664546, 272555482, 753808787, 451551423, 832087710, 443615580, 520424033, 776052281, 607462583, 724575925, 317633901, 812609719, 2123362, 27338353, 536282733, 556556246, 793860415, 71892544, 408921483, 490926112, 290977205, 139922581, 942851221, 485979213, 425565270, 498526273, 477252590, 735288530, 320511031, 643534400, 948761843, 6062060, 338082334, 253569001, 69953406, 746691762, 155047173, 633969955, 867499129, 75974374, 664091355, 343328002, 829788132, 127356930, 945528225, 930054458, 189130372, 69641007, 633813815, 372877113, 422463142, 159493494, 662290207, 582961340, 259523895, 265534659, 947062497, 39193004, 169607885, 798633839, 572503040, 59268612, 83391474, 879046339, 214542828, 501727947, 59607806, 840194374, 793431503, 507318085, 536940569, 615228298, 813658951, 711058619, 678188919, 996405125, 537014986, 864962841, 865219172, 926127086, 351716147, 5532763, 599119923, 104044892, 863462685, 59128067, 650009465, 469558120, 730585965, 826619064, 125531271, 508194600, 629206389, 93682068, 929897225, 503854469, 694922612, 723810797, 504102898, 457409913, 875128004, 886435398, 994570782, 547788137, 544245401, 792116850, 934845653, 224117300, 409765727, 232696031, 970537147, 885716035, 257918310, 21766258, 440238376, 585103, 175180772, 961001575, 217336654, 750104600, 663067202, 593124946, 702360918, 205878464, 675604149, 624848659, 37621198, 353523419, 44604915, 414411983, 822466911, 284229964, 693200442, 201085636, 66652553, 678600220, 857513784, 265681564, 2634919, 830262353, 419942391, 518243928, 973816995, 508762293, 915895590, 955592045, 647055065, 397133921, 18404091, 318704917, 234618765, 414279541, 338562826, 172562464, 751637284, 404663270, 411900230, 697542074, 500432460, 446304358, 843049679, 127682874, 688213872, 718669293, 573669660, 139164543, 940154519, 711262562, 359787702, 281862412, 171028332, 513025326, 680936782, 5840703, 540144934, 205943106, 875660770, 966797941, 140616484, 363784210, 692978019, 746911363, 973865916, 21801190, 437893652, 171042937, 304330193, 120141866, 312031003, 604213879, 186753555, 443861318, 260166074, 878561332, 378505876, 545709446, 526078568, 542512918, 764011468, 740588089, 127430507, 748464746, 128475758, 628497294, 567766730, 763651187, 520372201, 918350055, 122606408, 996516682, 343718057, 243224024, 530779607, 816268678, 155627972, 469029077, 590312590, 955278863, 464546808, 750730596, 981183498, 372919482, 178917821, 983361403, 669249557, 530656676, 542347487, 300382153, 640703376, 862693477, 915807583, 754319238, 667931297, 277695713, 567509215, 304775440, 156804645, 748620999, 96842103, 395624317, 877820303, 352429059, 963328853, 596971381, 334477253, 542714249, 149069517, 18922218, 725596522, 195552591, 77586151, 574212434, 487673267, 400189355, 602993115, 42068555, 333323319, 724609620, 92001005, 849146586, 912888814, 117718205, 418477790, 916351977, 860568965, 989748234, 588527144, 762189401, 662701463, 395672053, 301918579, 566820522, 148782127, 72278525, 330759668, 846810129, 842230373, 97869517, 593999050, 761648581, 94611834, 747092268, 369346441, 367912108, 329416244, 247606616, 616608785, 325832252, 349374731, 991740801, 842111329, 662880403, 623283953, 92052232, 27096275, 727899619, 173471258, 42210095, 393821421, 437672781, 975131583, 170427152, 126579046, 974766557, 846276687, 776250462, 577975466, 86805397, 147274409, 661951435, 920700474, 185920969, 881524519, 232349359, 32094884, 629279004, 724170033, 321859424, 561341086, 832264344, 941690320, 884457614, 215014820, 48778200, 38317258, 430264388, 247498361, 660811849, 731699823, 468608115, 122680988, 996623292, 448138703, 921259446, 170588224, 426518798, 740754664, 146092905, 774532843, 999598186, 228862194, 728701430, 709041649, 451448124, 12673110, 398077222, 10145558, 574000842, 307962802, 164633735, 674594144, 737643842, 483477931, 89231851, 419530854, 945206210, 810942446, 227845366, 279357143, 85522573, 672232296, 273864431, 582784037, 458572422, 230471286, 842313932, 492004802, 84349535, 688251683, 75533206, 221111379, 392875447, 960730521, 904367201, 31061810, 163296581, 950873878, 725153848, 34762116, 671222165, 421995968, 849169075, 618703, 186087838, 20310161, 922578010, 566849685, 706955468, 502341830, 423849812, 117956418, 812811910, 977188191, 490623796, 896035879, 953758371, 20300728, 492115445, 143626011, 523202449, 501639598, 780326204, 657805533, 136989631, 68057135, 709013701, 497984592, 291850040, 874372123, 758688953, 421531785, 932379707, 139446219, 734803972, 968566756, 556417757, 5463962, 46411771, 341517340, 989855559, 399889963, 12508339, 455826521, 95298546, 345834111, 595281212, 334367367, 863876879, 991293576, 879939102, 976284344, 327078879, 641312125, 302125856, 634283529, 687025996, 577241716, 686084243, 408475343, 883194009, 457590867, 712527060, 776312645, 371182687, 655550945, 904302794, 848856568, 177566205, 452421150, 792891423, 502564371, 12889411, 672824632, 536746953, 948121097, 456829368, 63791442, 288392371, 965655874, 289551684, 807489352, 638193304, 833786542, 88939464, 499826737, 382636595, 267970667, 728557945, 387542058, 251870225, 366082874, 364439185, 609281689, 995299790, 879469353, 750492966, 851180596, 800537934, 438221990, 702619853, 769710889, 543253597, 481424686, 904952991, 397822114, 654196327, 609656351, 618809948, 92345007, 996960062, 430542233, 274110731, 443261276, 78953965, 521766202, 449397073, 908735073, 150108952, 884455242, 678736953, 47316804, 372658521, 431370285, 362278592, 426954851, 216869521, 404442097, 467814045, 591484208, 758169339, 745515792, 545531735, 409355490, 547694681, 363879947, 857024914, 839823687, 577714911, 602666929, 789701545, 662097372, 590304211, 488943070, 782049498, 930522465, 528568704, 591409651, 374185178, 854180997, 896823216, 262625983, 468893523, 303729596, 559170176, 490341118, 163740787, 372403262, 793491979, 139993592, 918225282, 756453821, 815732063, 909032269, 25113064, 891333392, 159127127, 1166393, 840245859, 414020533, 872426908, 141314563, 599041324, 180593413, 550974040, 136434290, 347624591, 865955613, 576917179, 694539698, 767459286, 630089274, 840961655, 467525953, 311803922, 641187733, 894988761, 981966925, 692981462, 528350338, 511788360, 686673388, 496634318, 772298426, 956085350, 235110236, 927824853, 313660530, 545523335, 369114990, 747756670, 189413897, 449317398, 573911904, 279377462, 473420217, 643309154, 414783725, 164413347, 766472341, 375564352, 3070629, 783875228, 409896611, 620724521, 717720069, 105232794, 152674724, 497805196, 524588767, 464225067, 970217473, 27051937, 829336033, 530677974, 77942200, 200871418, 918048605, 116441112, 842100203, 682209119, 796679807, 551970413, 292813998, 496884177, 228168826, 9002, 383761188, 513332114, 913591088, 356842389, 455309386, 887256484, 148048177, 184943520, 141366146, 761916048, 721320700, 461241056, 243950689, 627919217, 496343154, 444789023, 445794174, 311082572, 730964663, 577240561, 557284531, 347120217, 572751935, 4921833, 550731064, 221923920, 496648484, 87553845, 385255773, 356147595, 272202509, 780854366, 618502161, 39069566, 448268177, 829110970, 812097036, 753466775, 109630295, 798328618, 303059905, 239205094, 284656879, 249367507, 608231062, 195847211, 781017573, 253165658, 364562267, 623126018, 895615591, 487970847, 697707141, 170265960, 885068400, 893254717, 559726357, 1625722, 191849768, 86403235, 944948865, 711287377, 509372874, 185075115, 263250385, 754380540, 744979383, 48338350, 477748441, 74163673, 554244567, 744001177, 491204009, 499167714, 275080218, 42811197, 127401543, 291964823, 435802911, 185924818, 851621651, 731399711, 90274020, 51651798, 942737439, 681779844, 500067834, 997289118, 808878014, 720550440, 407688098, 90088994, 239063903, 872579987, 349566142, 658303479, 966234619, 597640461, 543582196, 465551875, 339429028, 976633173, 939276382, 803128839, 363687141, 302126418, 215903652, 523858361, 456141849, 462360439, 270365611, 902323608, 445521165, 149947423, 487001555, 685945721, 806614383, 145709319, 736237874, 23114099, 271897495, 190128443, 727457086, 555390860, 121482675, 533558919, 952750520, 469122751, 934969770, 491308568, 705394374, 892220170, 108141040, 294173749, 901700058, 871271319, 824412339, 337978955, 24394837, 753634970, 152819050, 845039934, 807180174, 323303595, 504170844, 543650945, 270297895, 193028536, 372658885, 195277657, 205676421, 458111431, 771677452, 577712004, 49159036, 460373024, 719279543, 798868864, 146605061, 822525096, 14472305, 822619403, 563945019, 346501367, 601868326, 553246801, 639400837, 640347548, 442234200, 466561620, 150968772, 955125415, 622490706, 676473055, 303332390, 293535747, 933557448, 599965471, 211034719, 75069761, 699038114, 832590975, 452150111, 853147935, 992377657, 700993901, 307082110, 544751495, 716508988, 419366757, 682063811, 371970282, 175535122, 874395662, 17655787, 832206554, 78031515, 964041370, 142723098, 699620165, 544828487, 486760567, 893112412, 225584953, 284461527, 522313086, 615269937, 20352993, 998736261, 856470927, 64219025, 732735432, 642080958, 640073139, 317465248, 221688300, 469219361, 957972089, 85933514, 309735718, 911102816, 919907858, 115070615, 31178058, 809167645, 361874744, 716383781, 480809679, 386923615, 702025629, 167320151, 310824358, 996494116, 383543104, 546923513, 266944815, 290868920, 517845663, 479200236, 401992149, 110210030, 552607676, 416810290, 722059195, 787209513, 454211899, 319759993, 674575966, 25092225, 87974530, 655701461, 593224292, 258675015, 209081994, 894771806, 87051924, 290039463, 507171741, 352715725, 159428593, 186398754, 495212279, 779470533, 300707805, 234460664, 727204214, 130037421, 882959932, 758321565, 630000930, 826034847, 100529471, 629418312, 572432275, 440918324, 539272300, 331939506, 501178961, 745971046, 942123480, 747654398, 252648179, 902643569, 308451146, 961635599, 117343205, 337324300, 259762997, 772600192, 153682409, 880015690, 893690754, 95232546, 266759478, 176918940, 246275248, 658271850, 186293453, 705672649, 263683978, 626051807, 467188187, 755849838, 902633748, 284720267, 119406929, 589176202, 565836626, 169210125, 914694063, 27087277, 904342663, 896243485, 392325398, 869953005, 540760968, 783881365, 862921147, 683359121, 962570141, 993364908, 536976461, 218326330, 557688875, 748497088, 743017227, 49996398, 990968603, 182370275, 594366378, 331019805, 428954271, 981533720, 998669756, 324620898, 422336972, 257057593, 205141622, 823122865, 956147916, 560168918, 473936456, 904993326, 488784121, 301860067, 625218397, 962960254, 72667017, 494867512, 643134705, 908909256, 843385977, 376213047, 820918674, 155902114, 340807960, 113102222, 523850777, 920655438, 574264621, 721748374, 716844176, 457106805, 549174571, 586595665, 260751247, 99869410, 64967688, 170386860, 945605958, 2915646, 738266814, 496235126, 660365807, 797254075, 247375808, 83189665, 515785932, 742330380, 854999632, 931217773, 106218651, 51171932, 79122323, 34616279, 778602816, 38340453, 848723342, 907765499, 426598038, 818669292, 437852841, 641524398, 618285238, 382443397, 509513851, 447373631, 85109722, 213516420, 287187410, 771249058, 656683894, 552769153, 411178129, 170283963, 236503713, 811999692, 293138810, 848704297, 571967652, 225851700, 789302443, 278377369, 55089922, 524984109, 427848608, 490227808, 128866594, 769035968, 930770487, 257675443, 298729820, 350534085, 295903782, 117467621, 873468370, 900277207, 357735603, 672529134, 918404338, 67333850, 911697447, 837324141, 32987125, 477107079, 872857954, 728787683, 602294721, 241923443, 852271160, 279305574, 61326840, 811129267, 246988302, 92847434, 407860813, 283304568, 113096657, 359089795, 896667524, 50395879, 120164435, 785671334, 720469839, 29754442, 750142462, 118461623, 221555599, 51579543, 553279296, 864881889, 857743765, 811495702, 115036409, 721050568, 632058297, 248472613, 248313994, 556099364, 675399271, 733738264, 650146153, 823912111, 544669965, 78239247, 94364951, 888401524, 123996681, 558421372, 604797640, 795804512, 454745770, 87281718, 713762860, 128151714, 307660553, 761349882, 686412703, 25200201, 57527945, 66281162, 127406537, 164259536, 407793240, 805317675, 874195984, 599920498, 230744498, 150849751, 46962750, 785895519, 223072980, 502484905, 871896324, 25570927, 90644733, 550595474, 331869624, 362997251, 626292815, 796979405, 253724420, 175250430, 236373374, 939118812, 783385614, 617935164, 345998203, 675008799, 879167502, 207307221, 341267643, 474317959, 484214276, 677276874, 214765600, 162189579, 666508096, 288176750, 951645052, 248768513, 290891530, 912639250, 117183593, 964139787, 330721584, 107568697, 79586558, 177305256, 492490449, 82667534, 879083243, 235588250, 348038932, 109488160, 676706706, 377998612, 564634646, 567730182, 239885339, 642627798, 866781427, 452001806, 416563953, 123510513, 212551691, 382351088, 842106733, 551745212, 177421195, 555406372, 798234763, 663878793, 620921762, 795864421, 880032894, 44381369, 19975347, 121616413, 758251504, 172223215, 389952527, 409879132, 887986114, 505659008, 721058070, 42418411, 736869077, 755403688, 970632666, 906530692, 398649991, 39768877, 21591863, 314430225, 950596894, 584739521, 293754949, 566589556, 863419433, 98086370, 410910778, 674511838, 557950069, 153171618, 451214835, 946172638, 483605291, 941441799, 830668948, 381506259, 550538814, 934551268, 95435329, 344808081, 14397811, 631152940, 281594650, 761716086, 617646974, 474524945, 131168378, 418869157, 804522082, 548804490, 59483564, 696576852, 288068411, 827821, 340371111, 103482864, 652972291, 211771275, 828376763, 284256111, 270964189, 173489491, 956489270, 481662032, 579351483, 26499681, 749038880, 734188304, 551072551, 923958103, 487405309, 598958747, 313354043, 442854807, 348805306, 408244560, 940915858, 557713163, 735365586, 802402329, 693450653, 435181457, 192256430, 243158623, 923696962, 539951334, 751580904, 879217608, 148859772, 928162926, 348487723, 453346500, 265954316, 153692291, 586855476, 873795937, 315595392, 683110827, 150406926, 68609308, 859989796, 36062431, 118016838, 516267916, 751436649, 531973380, 708293748, 862623012, 687119256, 299060494, 665064111, 449743174, 384920207, 210687345, 279685575, 632824075, 981323839, 736849445, 929213759, 931124089, 627625020, 504334589, 663535492, 332513200, 90241144, 348938537, 936694387, 469595529, 589409476, 611533102, 177047815, 259418737, 206915403, 788703518, 237631503, 328527492, 332886237, 208258966, 475568666, 367149003, 47280511, 745508534, 395204189, 301858471, 74941891, 609374951, 640516019, 804974838, 944011773, 977949257, 867863831, 662435172, 25002908, 984433969, 651171458, 680042261, 308491114, 792304972, 877840026, 212163272, 624573832, 225444674, 736834575, 297592630, 163249895, 866801280, 673600643, 668149643, 730097564, 870604351, 23028511, 326701115, 801693710, 620185204, 598629248, 510299550, 773077218, 292294698, 825415848, 42952968, 464518246, 221993879, 845045871, 864108824, 917410073, 890221131, 376969467, 587603135, 548146119, 492748216, 227484187, 925724008, 264203574, 119367923, 409642187, 920034397, 224044508, 75103657, 528504116, 263007961, 244760518, 31060442, 602872839, 101544490, 220737007, 534642351, 507584900, 545711974, 951619010, 450732023, 736293985, 497186547, 693795481, 388597647, 541993474, 593172412, 424481725, 986986960, 813723136, 317811654, 390089347, 424312192, 18389420, 414751865, 247872031, 472378444, 30106405, 819092800, 877672426, 271152285, 244873466, 193675075, 39504709, 93020264, 784813255, 184003574, 99171110, 871377247, 97535070, 197769064, 182091377, 255486331, 911247066, 604820161, 794209216, 566617041, 267105416, 632208258, 742913615, 500593146, 923435524, 344462488, 231510265, 927884456, 318340821, 929581859, 911201998, 101374620, 816488781, 665631462, 807052637, 514143740, 252741212, 305621260, 123191259, 593027293, 256806244, 978128865, 450506218, 217473858, 148133862, 857385816, 80227371, 333614925, 237986514, 66555395, 718029246, 929257101, 960731843, 195024002, 78777010, 27156837, 263930958, 795576591, 152669485, 889684631, 244638891, 882639335, 735806932, 11033883, 965668168, 664779084, 663144957, 939821228, 774831927, 195862315, 134770606, 386001729, 520388848, 432356118, 845307934, 45372364, 951010539, 883740350, 372678819, 664683921, 521944839, 391306128, 495706584, 122410736, 644112771, 352965300, 530056459, 895717333, 30398820, 873301074, 38023842, 142393430, 343086050, 616339272, 571334809, 289408906, 715675417, 448462735, 835320769, 600065195, 575101960, 42833064, 686249313, 779688248, 538476535, 904065507, 392193762, 147147345, 432617469, 166349766, 182705766, 250858257, 299181802, 959034232, 829440998, 758451243, 871743259, 10849845, 452580721, 61893308, 314831240, 187476990, 846325599, 455236546, 900354678, 269408184, 205083881, 430817783, 897442298, 453784565, 518856868, 992136493, 101334000, 873190966, 842794440, 400867773, 5870275, 588661789, 647339774, 198368833, 349757968, 218523480, 317276918, 747191122, 80812693, 448932261, 624440051, 555441369, 871777857, 275975199, 486710100, 184894478, 384705526, 674821004, 280145306, 380622836, 159627859, 627988039, 993095061, 291873488, 603066658, 19536019, 513529811, 366756216, 675738536, 275170660, 411885395, 783072420, 869117975, 345758753, 78848921, 391406991, 743639241, 806275253, 315789899, 555545216, 50029190, 648113469, 990213328, 824624122, 205898194, 729176262, 364827422, 125990223, 66120001, 493114454, 492924446, 976085250, 307121221, 286131962, 150916213, 857668228, 161612510, 559565295, 627754256, 523021692, 816618358, 30675506, 848101652, 892865662, 266124541, 415019035, 678471210, 382967344, 561809370, 635014401, 495741783, 395643318, 431852287, 342919530, 868841626, 78921080, 710226696, 736474807, 803945855, 498045042, 264103921, 249753894, 495180175, 818507572, 239823810, 716317451, 985980127, 823226831, 275432655, 234899543, 870663309, 291961274, 657162898, 597432744, 939756506, 172567516, 165107711, 914749612, 318224819, 821136643, 70992016, 125809735, 390877847, 827364090, 209216292, 941318369, 639694675, 104425881, 968045102, 31689536, 646918343, 326568365, 176738539, 192650295, 890113478, 89256854, 125684452, 443303487, 368970322, 245477783, 205143903, 74634896, 646143854, 2313269, 852169294, 999624965, 194020037, 258517926, 539669781, 611579159, 923623707, 326491279, 381823261, 244952588, 787701204, 756990093, 440642180, 26146631, 580141655, 746429499, 273932111, 309739984, 135288941, 921548395, 696019574, 923068893, 565289436, 5920449, 388136116, 171002567, 609108149, 241582811, 654088587, 716767179, 698877526, 114555046, 511440154, 345824280, 195657750, 80400500, 552373333, 585575265, 743185539, 966720440, 351599822, 563929045, 781918842, 83976513, 286092446, 410334549, 452153750, 687366019, 388848442, 623507801, 852834266, 949531581, 389347394, 783691325, 170384420, 783851466, 422966893, 742529629, 537249372, 616935711, 49807692, 713369949, 974385793, 834813126, 908231872, 350741531, 897258593, 136111780, 853347563, 185165477, 246499107, 950203405, 743912083, 455451075, 97756295, 306848189, 912915684, 708212232, 772775890, 240863921, 910278623, 444241, 405928325, 459886060, 702490861, 982653969, 935919093, 135561545, 19196304, 127255552, 435110386, 387326281, 506738300, 847324585, 628323197, 967475008, 82057568, 267379329, 563167247, 287977126, 11613202, 993563246, 228170723, 3711614, 319651328, 311041799, 461831748, 827941228, 951926315, 148951144, 59499195, 935991822, 998558186, 611420172, 142660744, 858160176, 410204174, 912614255, 244974856, 263087375, 791283669, 290751547, 290256008, 612636638, 14574967, 465706520, 35371889, 768776531, 114109610, 27023131, 198720726, 382283197, 681405322, 495233533, 504317482, 704287780, 265180206, 580582765, 138240277, 166318033, 653198184, 53161715, 523108395, 838164081, 205309029, 661017815, 186327553, 300528245, 474952187, 557111666, 412869369, 166301947, 20805975, 405056961, 984326663, 516814594, 416390658, 729392748, 830105295, 862393823, 621788606, 816913911, 105497473, 746538819, 285026806, 797661511, 385559853, 467829901, 870646227, 966371443, 767744801, 604633064, 176233498, 154321858, 618618471, 700729818, 969847607, 559688108, 6069540, 115779919, 109662183, 685458938, 215932132, 545641585, 750887340, 214319895, 388611284, 208218483, 999982131, 449627664, 232593753, 397664975, 832447820, 990271980, 959119301, 199131798, 860953254, 956574771, 25773477, 340952798, 290281031, 553615917, 544178837, 734243137, 907080184, 183151985, 484230941, 409862441, 808129224, 266806365, 126943207, 106532225, 909321473, 115804095, 144284677, 461509902, 822557857, 182311579, 601501455, 305693427, 546667162, 682103742, 985944518, 202447347, 250501979, 972550162, 595316537, 35104362, 102217869, 57015151, 782382350, 384962670, 166246264, 360333362, 360632586, 642827928, 347503719, 707600067, 428209044, 128313657, 829500081, 884739430, 165902203, 926591539, 128760563, 916743667, 682508992, 935821757, 447237097, 77623459, 718018189, 401286300, 50749631, 769777622, 819247412, 902311276, 822365049, 694569300, 143008467, 753957160, 669854591, 990520841, 358732310, 82830351, 76306150, 478470292, 614483473, 874270888, 614797745, 312998575, 986278631, 344102598, 284509359, 154158302, 686234744, 703432404, 987715323, 137777378, 31225042, 471454937, 861124055, 317804670, 301241975, 114382669, 275869364, 438941008, 345893624, 650238664, 497107673, 790491995, 103824822, 329367215, 528080265, 626811197, 622346995, 410841461, 242413217, 907946963, 533779989, 709946650, 993907011, 293454115, 708188369, 38302016, 857462812, 382189423, 422745415, 527266187, 560751020, 310123056, 266605567, 381652587, 871364642, 488871430, 389085493, 36291785, 525559348, 388277587, 31889009, 220485010, 721327090, 327012956, 651808614, 927451193, 392183692, 58607752, 23613589, 235424435, 340377563, 962293871, 931624124, 933914858, 571934780, 391841281, 995700919, 344630468, 149978509, 127372469, 276832381, 595843366, 131659518, 995121456, 471238989, 221462727, 706356188, 485105361, 645433543, 462250243, 339317158, 908569807, 663474848, 957897853, 237389024, 371842692, 704416310, 416578563, 832709593, 930066582, 51288805, 924215645, 422345248, 3068943, 106239383, 661595305, 16475489, 12921008, 408969709, 843240842, 691359896, 44046765, 187721156, 262012672, 246085476, 656443535, 588202743, 79503016, 150921774, 733834081, 265900360, 64601423, 133592104, 170405818, 985270691, 590777625, 684593968, 426813443, 575367758, 220901308, 772561085, 397897571, 384822983, 687763354, 282623928, 407409243, 15173252, 927797836, 72629927, 790025466, 637023786, 219575020, 628969976, 271645179, 682266456, 900699959, 69378091, 41681673, 339585563, 261099743, 724910607, 203374654, 64827993, 201085634, 833977908, 208990193, 351985728, 368863205, 217621627, 369282667, 540015136, 148027243, 234635117, 175968244, 701711659, 52917361, 268173190, 562401159, 47631761, 543877061, 110339088, 248356027, 979588027, 270475586, 664897175, 947840869, 641175256, 88020873, 15813981, 602014817, 490617635, 263512432, 51079302, 968580420, 155274822, 147684866, 277304896, 620888505, 304877134, 715973390, 764233623, 759539863, 366174595, 534907434, 851886977, 491226509, 286490658, 685119428, 917273914, 968581542, 778598134, 578403709, 815114056, 352762447, 824384865, 700384250, 111756178, 437965590, 117972775, 264516547, 389747933, 180598028, 443228745, 30354006, 802016089, 436494137, 825568300, 659106260, 408233127, 976477357, 456329418, 510968540, 248019834, 501351006, 162397500, 963292711, 61945607, 402886570, 214503111, 916931425, 378354174, 785008377, 568250709, 973455278, 277150506, 778158299, 999145362, 817793615, 686503534, 655364057, 375948474, 348623360, 61417618, 529282367, 235162711, 899204330, 449696083, 303446738, 925205970, 490479981, 838580420, 719897783, 17591268, 234719133, 178861737, 445342137, 904421055, 536104414, 656484906, 681037550, 227970722, 526412622, 449277937, 36085994, 439244001, 109821134, 994150499, 509872584, 119823672, 326963936, 52732917, 431748140, 321905514, 137809379, 645878746, 519534654, 897586530, 707315307, 23776677, 412800467, 475513538, 861054591, 942787348, 597970241, 134146543, 298454400, 886112739, 518850354, 152536848, 356487057, 392083231, 58215072, 408898878, 346874228, 500795789, 716379264, 79741940, 978178023, 243965288, 900635733, 382506510, 844085181, 268124695, 666886043, 548495813, 360254306, 47998703, 382850456, 554610249, 384569646, 27794740, 577279012, 550944737, 266734548, 801850761, 673172805, 326343749, 45856294, 786988732, 272126137, 349845080, 399011056, 747487824, 317072123, 405467994, 232942155, 483908011, 610576462, 258722770, 162344529, 708808867, 357302648, 823480786, 599123050, 179478503, 695854423, 647959013, 474585868, 568267149, 15797705, 851308527, 643738530, 169189291, 112365917, 825403954, 169657891, 816145596, 94223817, 998921609, 186490579, 689834965, 533798040, 736980973, 417861317, 65814282, 767603947, 129900067, 778296804, 917936420, 594094937, 400020488, 472540212, 431642718, 733861173, 587926658, 983615765, 625790395, 6405753, 852823918, 195734144, 925620283, 86933551, 916292888, 412415225, 838870777, 894847173, 781993892, 543869157, 172585867, 847897073, 194801793, 582377752, 1609793, 376446338, 802963627, 985009524, 866191905, 114843858, 568126239, 863709467, 378393874, 64604884, 519480530, 649266676, 964448947, 218955192, 3129725, 993762963, 370576823, 872937030, 627463598, 884820605, 911788997, 44147335, 965346069, 262207674, 919390586, 272444205, 367627476, 322344725, 512978915, 749085510, 881623431, 410050626, 720326991, 319039700, 672911448, 493339595, 138142653, 87582784, 931069442, 591296875, 351329834, 483860229, 308912961, 65038711, 182518278, 284098738, 362543550, 87699277, 37426830, 424173221, 122593672, 249305782, 53003257, 586454737, 745527100, 335483646, 396998387, 330533795, 176428988, 118896331, 710582452, 671489129, 57846998, 443640433, 923675813, 298171528, 831373905, 226399210, 591702844, 528903128, 757837089, 473443828, 816231013, 398391536, 316283100, 26385697, 518706341, 261783009, 159545207, 102441409, 420844610, 315642074, 123608202, 675484341, 963234415, 456268539, 495792823, 979018725, 731237640, 506657551, 566942489, 157008177, 259284106, 808091446, 168196143, 218060779, 346755943, 273790584, 864232653, 121874096, 204963873, 721436257, 541829714, 355999115, 839041842, 69002561, 871330038, 703316259, 899460867, 746880000, 443930531, 196428636, 943431923, 759496263, 969009680, 19940848, 853952590, 29075341, 853115720, 316810362, 273633078, 711380037, 842934275, 746814529, 726074735, 847695905, 123424555, 907086748, 340653784, 729397221, 887657472, 150518156, 762192886, 946263030, 468666973, 405780857, 300701116, 939723287, 683643266, 793762994, 496025935, 296850116, 821888180, 357667239, 519174949, 835465593, 535532581, 589542288, 157026342, 357063226, 799061860, 667083480, 863663799, 538760595, 153632530, 509838929, 835599105, 412745801, 828907032, 27545674, 932074494, 275087641, 439576775, 894662930, 658943279, 523329967, 209554010, 80558055, 402361577, 224600465, 710064427, 356502077, 630117178, 371652380, 861881399, 442633776, 61120851, 536485084, 158072531, 704828727, 649541888, 703986629, 802663209, 909471264, 160265643, 122035306, 260657388, 427004404, 569383247, 980222219, 345387609, 817561999, 224425902, 326373409, 520580041, 626185341, 252298501, 30205640, 112114095, 96744032, 522983605, 694971737, 58426113, 276967103, 808167946, 808975816, 583173934, 277497371, 561054644, 314912706, 520128355, 995192265, 776829028, 942182012, 709700489, 113328378, 594587973, 101463065, 61939557, 987707728, 868342533, 269225513, 974314092, 577343361, 433281548, 340354381, 906429776, 141160947, 752625782, 656674117, 153678124, 480068883, 482815544, 984388946, 487125484, 781614926, 81117549, 816622588, 101545424, 789973057, 507287449, 76983201, 149538976, 51809920, 729733734, 197213790, 637229128, 305041585, 883775641, 824513531, 289992210, 593015712, 197137827, 979680691, 892964752, 177206371, 117958025, 878750624, 21193918, 608595484, 828901742, 33210012, 434216237, 628480786, 802680611, 691861473, 777564316, 975260603, 806834058, 725357479, 993287975, 627974974, 528040199, 729207799, 572045275, 302450099, 574307121, 495256212, 792491683, 387195438, 396443654, 295858218, 777331467, 143294264, 264556938, 639097429, 445789422, 501192593, 153159498, 444967170, 548441918, 777624732, 821313259, 88891623, 987712510, 890816313, 422516989, 150105376, 444858090, 273700106, 11747370, 94212506, 594771269, 594707124, 593449384, 572518008, 353985124, 955414452, 209203546, 465723106, 977811415, 494478407, 887746154, 474175724, 563100928, 942512059, 305257230, 313027567, 461757553, 352811419, 64077880, 139593834, 847364679, 176525770, 353474902, 149647468, 870478878, 382862288, 728969408, 613611041, 779588692, 773141396, 283044674, 306179080, 484024241, 813700969, 471705700, 497562701, 342138707, 937403561, 311123652, 66724132, 800743653, 859116764, 843676270, 875944567, 194070815, 538764726, 16134459, 68528235, 633404970, 862972980, 581654685, 955440042, 552841500, 939025069, 805831243, 713654603, 347737651, 481188946, 873908689, 348351206, 301702917, 267986686, 638032508, 737345704, 534865941, 326161710, 747719877, 737018073, 310974831, 822380845, 336515966, 151026183, 780337178, 548748119, 73627987, 414028475, 224153933, 441721357, 717873814, 276147797, 258915886, 97729527, 978552536, 509893314, 31661604, 835184571, 320527343, 530483121, 14282598, 118022686, 991143762, 890671420, 502962225, 733794719, 461641918, 797547775, 568471497, 461902678, 182026684, 83896393, 603608244, 464431713, 612235636, 367330362, 405466187, 275723792, 387588722, 578833426, 612443884, 711609830, 751879212, 682083682, 718200942, 338269365, 215294920, 103703303, 923483392, 687221694, 57101337, 239673640, 466288023, 545061098, 557907021, 60651104, 617972156, 449078939, 618142282, 664355728, 730000640, 535089007, 928461272, 300591610, 580153917, 825521176, 767370846, 995345528, 435434380, 853267792, 356438840, 217498573, 207342346, 401350251, 208274496, 981597479, 445193278, 670514568, 714559726, 785763111, 428232625, 394283990, 472764255, 168878482, 195695330, 545627511, 14937665, 900556562, 382571818, 292370146, 158432772, 245833194, 708377545, 4428207, 158233769, 114327770, 453720450, 783010611, 440621064, 499086630, 944550675, 391888760, 965725635, 24650058, 527244752, 193259265, 901534771, 735623551, 536595756, 180000103, 965267056, 355270923, 877562169, 797085745, 554773855, 959752016, 373372613, 250328407, 988466485, 367775232, 603616214, 41295181, 20078679, 336621416, 77643804, 634047072, 351956613, 923168160, 73435134, 187619423, 729915251, 398368183, 562461257, 927345361, 536039882, 502664912, 178386305, 166987892, 252408222, 885986485, 5059778, 686810112, 327199735, 320242676, 824044145, 948701618, 364506608, 997665934, 155740110, 83873719, 318873339, 212811905, 236807453, 542356179, 491877932, 982822368, 278709608, 942974960, 356574063, 408965232, 457621974, 52554688, 585403049, 931366986, 669672410, 47864438, 395626722, 280342025, 459652589, 298145453, 374429329, 878160719, 489958641, 500355584, 124045034, 677048076, 215636566, 178833959, 599759748, 57626498, 592396355, 338420989, 761036761, 544914058, 290663841, 344430383, 773783267, 819738212, 348960205, 135247064, 524775977, 820092487, 432039675, 569608134, 393537843, 497366089, 64476465, 323134564, 130031605, 18462870, 676295051, 324020603, 360705468, 56791678, 413816196, 35028734, 820247737, 70753032, 512279751, 405821237, 426432029, 117987054, 882396610, 792061945, 738431152, 384529642, 471537789, 250500779, 730696194, 672789467, 786566712, 804421022, 297834570, 286541483, 609383454, 377366512, 641095078, 25602869, 678648724, 999160317, 624952790, 218895294, 832998484, 213597675, 981109014, 89664694, 422007755, 990935483, 978273942, 387380626, 252245742, 70293588, 827268635, 828408041, 876817035, 579279130, 92226746, 857311438, 132043424, 808186922, 409020236, 60170179, 156121724, 95112452, 695679443, 590592738, 864069279, 531408081, 257167651, 643892992, 340556485, 678811397, 951607611, 811538058, 23732209, 74223644, 332418840, 479067586, 898886617, 485966866, 609418612, 942861682, 811899138, 935630154, 869102143, 649608730, 308429633, 797830483, 604871566, 227469251, 266591981, 682948507, 731647422, 156485296, 910838158, 974392654, 192930099, 320837702, 136978344, 155520202, 161054255, 817091988, 368147310, 768045830, 652539036, 253927335, 100738957, 56953418, 362575098, 37700042, 658350809, 257647244, 443122291, 378365594, 566458467, 539911913, 838267214, 221787561, 490117007, 704147468, 388864643, 722072017, 395232103, 27118076, 137049222, 402631763, 88776301, 692660182, 89902633, 935865892, 444139243, 55438404, 185643914, 111614362, 295232961, 467915126, 719866986, 907053448, 394472097, 552523438, 952449051, 983340722, 643457566, 889232252, 246407159, 469955525, 49772188, 480219879, 742304669, 776488764, 538985411, 956316982, 877794038, 446132342, 713903930, 33664499, 968608997, 571494274, 363642119, 598279810, 974497150, 936227417, 528828052, 625705029, 13570105, 764478132, 451628070, 368993938, 206341221, 640848858, 869384070, 8417876, 830838851, 210555593, 413974866, 391811094, 709204222, 588628993, 861227918, 313127737, 569198441, 323785964, 301065880, 701929844, 290232744, 182205042, 28974837, 219616934, 242733682, 688121141, 751149453, 949334341, 755823040, 308710298, 128361709, 458677189, 461459692, 212761364, 35467879, 72944143, 207556157, 968622277, 669509521, 239502366, 962590003, 334207434, 784642451, 4109455, 317741316, 998141182, 661359310, 498675645, 19755168, 651130992, 225800952, 452753633, 154725218, 64920166, 338033430, 931559326, 779427466, 268795033, 410706552, 938663646, 525382061, 742541224, 303214108, 761258156, 639272546, 636105991, 732584240, 902497796, 885537942, 417833537, 5851744, 653968976, 967650457, 461498684, 174409034, 399796865, 739326519, 665329727, 493587186, 681811587, 17224243, 21223856, 708523865, 762951960, 317051640, 126552626, 174630180, 638543773, 786640932, 372267071, 953442629, 125472930, 312985014, 536765866, 934276619, 464980113, 90161528, 267167609, 186123959, 325986714, 473280829, 405384688, 2442789, 582632637, 387963461, 128287828, 32639181, 917922938, 543153830, 922558363, 67018370, 837225839, 195229937, 56238945, 255869909, 773598180, 805818231, 734585654, 472123716, 622236759, 739480571, 377296096, 293090566, 392463909, 644517261, 849931749, 924326660, 959550464, 651228013, 776663308, 664605959, 142367692, 818801260, 395824616, 139593472, 536780660, 531400903, 628984907, 539279725, 21385419, 379107316, 536894148, 604272774, 92524053, 729999567, 800819072, 881707523, 51642502, 307695359, 999260576, 798000683, 181226543, 140860022, 487392510, 72218192, 646817894, 710619467, 902150735, 103270906, 796534161, 976500066, 789009779, 230469178, 779657914, 260781576, 60398603, 856247980, 99630394, 12108748, 583079228, 764575806, 653141463, 636451587, 759367608, 322675751, 338289022, 795341712, 664784742, 401170379, 988285352, 270316285, 683673543, 729543107, 883518685, 320516478, 635851664, 395496384, 840915559, 94011541, 935137028, 830156603, 686937946, 621497798, 507318485, 925061797, 239819169, 429912602, 124842310, 802735720, 1729697, 173868093, 639056145, 689719650, 599069285, 173122950, 745560123, 449182731, 171126656, 56583022, 20365731, 523161310, 206190353, 898119337, 17475565, 439055109, 130011694, 238788848, 804209188, 920317243, 333702747, 699267056, 755972765, 402311988, 88577603, 627565459, 782366459, 267824975, 907995242, 865371324, 3129538, 335619750, 720251401, 170588951, 886033227, 699197565, 930265594, 705540429, 235994815, 243521613, 498361171, 341674566, 71211896, 191847674, 234587428, 592084407, 380137030, 448586252, 293720670, 369902633, 560196654, 913923242, 635064285, 813163793, 286705699, 141222943, 802551766, 592541466, 850138134, 23949938, 447509616, 963669331, 19860305, 965005323, 255454121, 714418737, 666048457, 691630944, 470426733, 328361249, 152909713, 278654647, 531403957, 42242495, 662451098, 285188447, 485499333, 195797838, 230814982, 901614650, 981959542, 235323892, 292632990, 963902839, 631210721, 939578841, 740805914, 714326562, 526256009, 633668377, 546748886, 929513111, 194500454, 157765335, 316138015, 532606572, 141365351, 659709709, 390784716, 430914383, 447981479, 544587698, 880511917, 17630480, 192515646, 952208638, 55129882, 254497613, 98473120, 326969117, 410371952, 573265637, 892814804, 889307814, 379916124, 166996816, 500790050, 694619558, 180865399, 327573452, 469093104, 291718830, 683801648, 764982473, 285162760, 238965693, 730012811, 136504334, 78170351, 738645973, 35721794, 531768227, 546306579, 268126822, 539063128, 368181146, 552350303, 356767658, 862822558, 236825035, 245901062, 950005620, 14272786, 200207543, 745789251, 590823229, 438748045, 899250165, 328806623, 859796185, 942471112, 176076458, 674765215, 19539085, 76532989, 521279274, 99198139, 143062465, 66948799, 839478317, 333850025, 778398179, 361047842, 372121859, 721311553, 888749003, 986162915, 510455078, 613948132, 362966672, 786569819, 729674678, 479113208, 719500671, 843560278, 842029480, 752593896, 57119722, 50734047, 784841271, 83112053, 346682949, 935680565, 41562189, 115571888, 59491888, 168662982, 654072449, 511994066, 116660306, 850692134, 679470741, 992210947, 657378163, 742672450, 278336229, 677121144, 908414218, 630648354, 968696043, 113110274, 835065915, 969456603, 28072703, 713010007, 660059669, 372795845, 251497008, 897055738, 758305605, 718445758, 543340135, 185972592, 982501156, 802656158, 700424345, 46908401, 227393848, 375444774, 310992686, 996382757, 669044641, 573386550, 896005558, 238874829, 556826250, 503158441, 730369368, 888722919, 239165838, 414191492, 803754171, 443964965, 115113672, 949019574, 236823349, 819541128, 928147781, 246055766, 741493104, 747100188, 170821001, 454988125, 757065924, 820810995, 953309630, 289371300, 984475870, 885086103, 702663197, 414942882, 589460940, 205973394, 662525664, 30437093, 394071667, 779120928, 846053967, 540181623, 469937197, 746094437, 774799598, 951774328, 440493853, 733152648, 513855226, 542253873, 494028959, 787970505, 598676294, 548897609, 78903400, 829208183, 244412972, 171023288, 420952831, 765095522, 634272689, 548952917, 646270899, 133901598, 793626108, 51793302, 29779102, 252161636, 228356130, 865244004, 826238101, 153431864, 518325333, 918119949, 888195203, 941074053, 924212342, 254961087, 796019736, 970305177, 115678514, 464344689, 487691067, 207255571, 165272427, 617465197, 415124320, 424431245, 697698512, 899733962, 3979885, 734265526, 381512308, 194822081, 296395107, 746761812, 376461751, 767196768, 900682671, 954010667, 309664387, 536650624, 109884722, 212340879, 188792233, 615078929, 141934992, 708794412, 804374719, 123947989, 701689831, 527403824, 405711996, 195292771, 121802953, 593658881, 417430339, 473481859, 760742509, 175371718, 988287313, 886190826, 900766972, 321987960, 420719472, 657248979, 554338386, 914524338, 556644170, 687575951, 762458092, 445566847, 646254269, 257840641, 179264137, 995142802, 802086362, 576229512, 482541705, 205745820, 902985362, 349822933, 27464766, 545731439, 659547241, 811574564, 632142380, 318169391, 97024412, 207961425, 603093340, 308011588, 687673887, 881287051, 733881551, 580304198, 177428038, 417609178, 741000905, 996273996, 475629284, 584732100, 98819287, 306839484, 570984312, 598579955, 660955940, 381914220, 819199284, 626093526, 534361636, 784838936, 636905183, 585492871, 131433179, 428312739, 651982950, 560710293, 783992636, 991802116, 901325956, 305805360, 251205002, 515496459, 862190542, 171474791, 304248990, 700485000, 200606709, 784869043, 541992052, 582551198, 157123878, 781731331, 388293750, 412782038, 385549998, 376228983, 551846128, 231482179, 530153971, 344277548, 793490234, 520755418, 330533344, 356678361, 215307584, 306605571, 459400413, 383441568, 964644560, 689204216, 979534710, 694883277, 965821147, 882275955, 615628262, 107916253, 391497593, 9029457, 660483627, 679689666, 32354205, 94349732, 758622883, 749286009, 325103582, 319022032, 549019161, 906720308, 575212719, 11280971, 974294009, 62535786, 270142806, 179058980, 960322226, 182612352, 261406643, 982717996, 598346227, 961288636, 920230032, 464778886, 867104876, 715286265, 364934480, 487042644, 496387487, 273612604, 203436576, 43098925, 394138281, 740504995, 608945865, 679904145, 153892287, 522703485, 482968943, 44809067, 127926427, 417952047, 899153797, 751472330, 486643482, 296376856, 941520378, 985439073, 703980778, 449600305, 603014422, 845585679, 265916130, 331490323, 270119943, 75121069, 569820853, 861745936, 663432421, 190819602, 942622055, 736977845, 499820068, 611036901, 711984913, 786180879, 350744649, 889572168, 144795605, 390878343, 277311681, 103720044, 402629173, 266116318, 447735225, 537889768, 780078962, 507263575, 194091628, 285234818, 946340962, 113301419, 637414582, 858892215, 605660492, 680113019, 621432269, 411072448, 743652931, 240039860, 981928607, 239586485, 322251677, 598177901, 325964389, 398078498, 411878298, 816377536, 879026140, 649252204, 412540602, 247076479, 894214702, 196325404, 370576798, 700774592, 489638773, 807960496, 773216246, 380095825, 918679592, 492368130, 188468508, 555527322, 458864951, 218175635, 743714974, 862842146, 429017336, 279679773, 501343645, 441986467, 903321921, 55179465, 741122043, 321524860, 39469002, 752583443, 255270804, 931082886, 167514543, 469501974, 831368157, 997857475, 691564117, 642213397, 629622913, 220837497, 610358152, 958159760, 850511113, 677662577, 879942913, 255658527, 139532984, 798420669, 924401063, 668918235, 723217074, 252383548, 6673831, 712236308, 503426254, 229867529, 545756299, 203804140, 149791956, 558286977, 798782293, 97567502, 978564211, 326091304, 363288125, 43482112, 957510168, 95679015, 564065146, 328794173, 472338718, 560282895, 618874742, 800340987, 437908685, 366652048, 563917046, 688973070, 676115523, 452810144, 321677750, 579155289, 670483367, 227916689, 637820078, 829978986, 246344704, 345223314, 914555104, 634747171, 831697677, 650456685, 891846250, 530995014, 499124977, 245264558, 307826710, 643091678, 998086563, 680964793, 547153061, 805882457, 665143592, 143530140, 632524070, 152514254, 398304176, 72650651, 273581399, 615205844, 491504052, 301936896, 301985817, 381780544, 271614315, 798823072, 482666467, 270289148, 774696900, 640068783, 373151502, 964093129, 764029570, 600791217, 327105083, 586721014, 736565627, 977060998, 646607249, 196457366, 218616532, 34967473, 412135164, 340695486, 563101252, 185073377, 976019444, 548274596, 311687507, 305768053, 540472840, 501891911, 614999659, 785907891, 483195987, 103069815, 371862288, 607342500, 289857346, 97731085, 633826744, 430635605, 669934483, 870011241, 697766946, 804605383, 834595582, 86282460, 835202211, 115832469, 222698650, 86847157, 351911942, 594236547, 875293882, 38673256, 383363764, 953522812, 124664193, 162866332, 225590596, 620962003, 928174993, 681513907, 970111983, 582061051, 979686355, 384865854, 454809486, 871481082, 193162923, 666837951, 871116344, 630373326, 897295235, 42620851, 831202886, 962032380, 192626465, 538247075, 128819974, 931570693, 88909646, 904935165, 640647603, 230229059, 614639897, 430247420, 923375597, 840057971, 333292990, 162345315, 951870967, 305684979, 896380867, 358124531, 420176211, 169581374, 865209279, 310613339, 946958266, 728397752, 533810552, 744757210, 532936875, 848678862, 578784974, 487552485, 412044578, 691678155, 415881600, 797270150, 622375844, 219902901, 504251965, 154390411, 208077071, 542408049, 429731458, 921766567, 235783823, 909923268, 353817604, 643492915, 950474199, 320153945, 472230699, 192422216, 921471720, 523841352, 504773272, 839209353, 983935429, 470137805, 137055291, 526452230, 931956992, 862505089, 140873535, 231754514, 398093753, 655554302, 738967249, 894677799, 777043008, 808513542, 436115965, 899445577, 812636492, 514049413, 449311849, 470700296, 177276212, 306649411, 714806793, 652921286, 383553817, 145324776, 480388301, 899982764, 114880376, 985398376, 393184494, 94602249, 764166191, 992088079, 937928657, 994831160, 911214364, 814915382, 149323257, 59276107, 367983490, 942730567, 225958578, 181072723, 902091773, 791276341, 43001654, 529116146, 501812291, 486072657, 655869411, 211437458, 566784889, 571082261, 691681829, 674921493, 336615848, 999615778, 985970902, 733512902, 770431106, 394183496, 782241879, 838971841, 469332774, 463673626, 576105107, 253333626, 836074580, 336213675, 23806137, 704665430, 255236481, 647811926, 705183733, 542096975, 122149066, 443680675, 821867819, 267147373, 871464469, 910586399, 263621266, 447322422, 492780857, 345296599, 738051177, 489460014, 949235438, 567741578, 748469729, 99034078, 613594474, 435295578, 613516580, 644271997, 732548457, 20548156, 817605713, 625347009, 294639829, 938691721, 420854372, 200494490, 431716587, 186354312, 402860548, 420360958, 957332725, 222795859, 317442170, 302901822, 39296985, 729493432, 831320067, 488236640, 967185818, 975529763, 601312450, 994907778, 909208557, 659924122, 522286840, 346888176, 585613906, 800544180, 81783355, 807739560, 272075584, 996924212, 999562263, 56549727, 281460756, 766076671, 320752584, 991050311, 461767360, 262124853, 447469490, 906951946, 211700529, 387753327, 720025191, 546584665, 410833694, 354503912, 486358245, 121170792, 962422074, 611749844, 249004017, 617238107, 671470407, 357809670, 818587256, 789091930, 89042670, 42348708, 901713486, 229683267, 847697958, 905677129, 823204548, 414566596, 770208465, 434680123, 689745649, 980559951, 989194916, 44482386, 10072216, 1876236, 12926208, 315972978, 896673949, 419659177, 509594898, 756756022, 481360692, 278529682, 297688650, 897251121, 877118880, 535715338, 985297603, 309943621, 450682681, 813210698, 18667641, 69407381, 531174463, 670827214, 604060516, 985797527, 678452097, 601710151, 716889037, 643429900, 244411962, 137431665, 730228911, 510592494, 673110625, 941164368, 565960456, 12041488, 945929971, 286010059, 540117814, 786727687, 279367435, 484235407, 310080102, 880947352, 108524130, 301389874, 88018721, 814233558, 793015391, 152355414, 207178444, 437907115, 535993381, 909309652, 816244140, 705983374, 146526548, 749329537, 258128717, 137471209, 32195544, 817073072, 441292564, 531219489, 921784089, 563324200, 637153828, 53554588, 956591090, 750916313, 143249087, 653996009, 781300326, 580953060, 166612221, 988245441, 333201871, 903238346, 183120945, 444264076, 355344220, 803992898, 494346377, 84031416, 414196592, 449279932, 652235740, 211450786, 111850320, 564382767, 521583718, 339558136, 4216530, 409469668, 577752902, 954672617, 569509660, 17285165, 10903163, 830077833, 638121187, 745488910, 928050827, 244078465, 877418291, 803126650, 718623475, 112744617, 500850820, 794052108, 446362045, 623542259, 150886374, 729763252, 877974434, 183060596, 940694168, 906525190, 80722024, 646611494, 856707670, 669793843, 297105856, 911539436, 968527777, 683491913, 316019825, 286471034, 455683029, 193897826, 932827636, 252854050, 435552121, 84226789, 533741047, 192481530, 50399850, 11624682, 963401273, 807187590, 552929750, 790869438, 671199226, 731477809, 159084017, 710823486, 540036907, 105336736, 800023279, 625265725, 511711973, 1102488, 649745982, 43720471, 560481743, 268798099, 23166152, 589901811, 15473993, 673286759, 989931288, 789553782, 855262265, 332277602, 875090158, 296434727, 850410259, 782959957, 996933907, 531574885, 896307326, 135233308, 220956133, 997739626, 616557782, 472127963, 624165502, 491716442, 797531014, 359705318, 567002848, 501919197, 641823953, 363921033, 426117102, 113485203, 52204937, 583042669, 175872172, 254013967, 411983187, 311366764, 38377174, 641446278, 565141599, 135119152, 896514940, 798613178, 859006414, 282578710, 600808458, 76489896, 188836570, 479043421, 162534015, 337370355, 714861939, 322142079, 455989086, 326344376, 139792322, 948960491, 485502046, 211060251, 313817110, 726571596, 691406393, 349705923, 965909385, 116583862, 902734263, 579194323, 80448990, 703994858, 675219185, 762861603, 844117929, 919573445, 733552650, 268991866, 313102387, 227471219, 908503247, 933671759, 440163456, 526625190, 474188372, 125305430, 903909878, 6649952, 713757799, 345266165, 61647477, 582907349, 831055320, 581806417, 338032190, 168333603, 738985555, 780711105, 902946188, 283667672, 157092601, 385128392, 991684410, 216086222, 251394536, 700537247, 312894834, 788263053, 676376542, 716435853, 633646839, 520748471, 931546857, 6141580, 402980246, 481961422, 525248735, 912743020, 430811796, 347561404, 614296042, 646204201, 582988885, 743517091, 134501340, 903123432, 226577528, 658702364, 163047848, 93304710, 468046644, 94627669, 854525972, 241744676, 679150782, 250859640, 12067377, 448586520, 813630714, 608134046, 795613742, 240621719, 476907678, 842226628, 812551963, 233025317, 206424133, 750112557, 939037553, 498447110, 794567927, 208445971, 152620600, 4191693, 313682925, 603313259, 139815883, 883074304, 504582331, 684912556, 568110614, 800999791, 146361373, 168838824, 712956285, 194203785, 39720313, 26582715, 430908956, 388488644, 366721780, 486258045, 415040526, 658546352, 221651997, 199572939, 601075301, 992280017, 916618535, 973436190, 99067514, 526023013, 754697881, 365902454, 129768790, 575996782, 617719632, 780571723, 868856595, 536146785, 371217388, 307163006, 793405940, 755180542, 944141438, 494840545, 589341553, 616047103, 67467537, 655609308, 712592568, 558725398, 358761422, 918260011, 840619383, 547199598, 784276270, 864059457, 645723629, 369324790, 451912972, 85497856, 205128002, 100476368, 809534303, 529790089, 680074835, 154193031, 203570645, 902722736, 185646008, 152318865, 995907602, 835014239, 348826482, 289773143, 601338395, 529258960, 184423589, 869921518, 328747025, 74772488, 713545013, 486924060, 780210602, 383887955, 113153072, 973437945, 646782502, 410843039, 264585006, 530679810, 815868544, 192608559, 838327322, 149364836, 299275137, 118009157, 166823843, 452925384, 606184611, 623542727, 801434546, 141119934, 701730570, 985329385, 727595924, 44363648, 621538446, 474672651, 318610341, 150236847, 973646155, 431586086, 299043116, 246354524, 185742668, 770040294, 367782160, 320564786, 814543874, 796019999, 918605829, 363844322, 843668554, 224597959, 662046040, 7470391, 792346682, 728393240, 210640179, 963471392, 690674632, 871392618, 681859702, 504456696, 548057026, 897243490, 943009073, 541107552, 436897666, 451776479, 648539580, 420802727, 607132608, 457352297, 892291421, 679521994, 506666830, 981051652, 854886942, 219925035, 73088205, 912609785, 449996427, 236959748, 925877036, 753578714, 445128538, 460518651, 397081320, 933250661, 818512958, 223136239, 530836886, 137699630, 253701693, 774870726, 468942556, 881940685, 760364767, 887162358, 906946134, 121909913, 862071112, 868349776, 800093873, 796346939, 428485305, 406085237, 939547589, 360189478, 710106558, 708859361, 381915696, 830199936, 912263133, 314729984, 176310145, 383096287, 620797326, 180753340, 408657889, 822689497, 244127059, 421836576, 684207483, 481023763, 715354240, 356657331, 636325439, 108038870, 528861049, 766633322, 134621708, 586474522, 920916478, 64467511, 655971433, 675434749, 606583417, 594902966, 694887943, 544871557, 205559012, 10644127, 614733962, 823084081, 872496030, 430841590, 984997365, 764956340, 126162875, 986465626, 666535361, 816326930, 201482769, 650859439, 978684192, 371135591, 751554934, 299779581, 809700107, 796266075, 801689412, 652092380, 650535037, 483674233, 207261648, 423336008, 985025487, 706052647, 911692752, 78429952, 338366830, 860549513, 32744794, 878901920, 556381842, 527338078, 333955603, 206142212, 581605796, 743453178, 30038344, 272114661, 106570188, 328128734, 517848446, 755064292, 428223415, 4765392, 896951277, 98858983, 117765450, 329010168, 522590660, 337704245, 780904560, 303607458, 646553137, 649637174, 23055776, 390501556, 116753412, 382540458, 520762439, 265114649, 12316716, 887011575, 273054026, 920031300, 525647637, 922113464, 742547673, 230181150, 309005449, 295108096, 422642957, 658429068, 430551297, 355590285, 994920080, 519134832, 997238983, 653153425, 830979648, 744821097, 254305502, 66327595, 771606400, 632361926, 948170520, 882642156, 213363997, 533889186, 47624813, 883757861, 519796513, 127438503, 930080988, 96578747, 842973683, 155326116, 238611455, 289324931, 650270235, 275685084, 904590931, 882683993, 636175886, 571509842, 466444673, 427855773, 847211993, 366276380, 897172936, 175649775, 166640004, 698487903, 904519633, 712952916, 157033825, 736981864, 388328772, 119618470, 791072676, 642879340, 98134756, 457054610, 934074677, 619357350, 781155571, 756267639, 700178439, 470591204, 133803060, 869900319, 943370486, 400299595, 515645301, 848632632, 105542902, 687131701, 67445378, 52983265, 699459632, 657577783, 609098046, 999895748, 443735751, 666781907, 687906333, 61903826, 375415805, 772027376, 17320594, 117944693, 780236860, 576044577, 482384512, 208701323, 756782480, 672052283, 646234285, 336429985, 868803575, 216904612, 338761092, 347670003, 646170566, 499855316, 168922745, 163364880, 289506466, 261185918, 892080408, 912375692, 937436969, 180531187, 469589512, 323140719, 345189286, 797800309, 534057537, 639672598, 109643603, 577810266, 71547236, 130007223, 982304417, 234441019, 651790644, 34717666, 174491682, 490399777, 29515787, 387044068, 968277679, 327731141, 544132199, 172724471, 482444842, 995260581, 846017654, 484816769, 494657117, 742165162, 955391639, 993701892, 747245356, 981398460, 316853419, 282477237, 271245385, 564497599, 306152648, 428630198, 357829377, 864851903, 830891378, 518108542, 916688665, 446319060, 979631890, 897549993, 343781351, 584415696, 570626055, 410465747, 862405264, 637070170, 697750135, 988243966, 879755885, 117936898, 730715676, 585343999, 615737641, 651505725, 64812626, 342617416, 625390245, 786665076, 76599369, 137591643, 640527855, 151276807, 82877723, 402537373, 849465552, 190364861, 71248406, 156074777, 272116623, 233229000, 654858485, 915360762, 867390005, 83821230, 240345358, 97328507, 551565175, 799640544, 518258040, 174293115, 774229775, 795003215, 668450821, 738453621, 337895098, 982134160, 421154505, 970220939, 77830142, 126119314, 760065544, 451130247, 180251354, 828429471, 505277421, 695952325, 247813824, 55952036, 107011039, 390136916, 132025427, 50638886, 601982997, 311499825, 606221296, 767186474, 499754051, 266866177, 174914203, 197129670, 806230840, 361717617, 887205626, 991422349, 624597401, 488927321, 224992417, 551222570, 810974434, 146860590, 608399760, 162962958, 769278087, 301032470, 190065526, 532344524, 187996919, 437179967, 489449000, 765363278, 808426610, 388508289, 407458730, 157310379, 275229388, 943603696, 961757735, 500155350, 362823283, 80509141, 745358538, 334048707, 986674667, 481653514, 720088066, 794767352, 570164911, 670388047, 293523859, 811905565, 167607800, 662589301, 275029508, 724623591, 130518543, 597926138, 356135704, 256538779, 157993304, 482281190, 250016918, 37252878, 855741536, 621085920, 529320168, 548929905, 515069835, 81568554, 286845984, 795203796, 442156456, 294853036, 116011853, 881676509, 510644087, 257196626, 678452186, 824063243, 506178954, 319619580, 342136843, 815378008, 582173040, 191895289, 181483612, 494444333, 647702176, 239765168, 737953276, 705202469, 802685435, 699502734, 105696703, 395977294, 303255753, 307151628, 989172048, 457689886, 956565142, 890839300, 648178330, 297906636, 665050899, 422189880, 510140791, 25169979, 22086542, 597555734, 690488585, 723328802, 127160205, 739788036, 54062713, 501879612, 33377388, 851948736, 138458204, 706748313, 518390351, 179326422, 640005648, 391285626, 835424489, 893454682, 316875620, 448521294, 48487466, 936172792, 258348270, 257200825, 897799140, 331421345, 681180025, 36233726, 595782953, 190154382, 873903714, 579805099, 803591905, 988526337, 200603205, 207985480, 213076704, 450061271, 516833659, 245938435, 318244649, 830152852, 337878206, 770247061, 591499562, 741869341, 998031507, 29757644, 69481142, 853193126, 152486965, 31385676, 57102545, 726713246, 400023977, 366741112, 465624259, 554628581, 346586740, 725216711, 40823318, 407014742, 365693399, 92065192, 456929731, 495368501, 719165837, 754941306, 555183089, 370718721, 477057718, 555638946, 870661501, 222295668, 621130725, 349007763, 908887530, 298861753, 274642104, 135296703, 525698820, 664045039, 798839003, 488481387, 718556807, 102515726, 820907145, 98239695, 252814421, 807509093, 484890912, 385028023, 498242295, 680728154, 673358634, 575190108, 69900760, 248299124, 867819168, 768624893, 272926716, 774025317, 741731942, 498638567, 899609622, 543383746, 39398391, 991746406, 266943739, 6249874, 525742344, 432816904, 437586062, 177430192, 353951612, 793415326, 485966776, 451262695, 822900058, 974473111, 985770767, 35256174, 608175228, 111012505, 626963382, 859255086, 667074611, 476081105, 25005585, 656677104, 943447938, 310999786, 662302678, 307871379, 496092397, 703687193, 261853127, 920945583, 583453699, 353315955, 93449561, 400856294, 497448462, 419527384, 503165916, 570402054, 770442242, 888394804, 24018167, 384989422, 526396764, 267828414, 892667165, 852979539, 921126340, 388109862, 302632821, 67218402, 520183305, 631865, 42473583, 875811567, 587678118, 995824694, 307403913, 477413003, 43637045, 643086566, 934508781, 194434863, 278519238, 65697684, 734699017, 74345095, 647440944, 487324053, 471288259, 404305515, 725484860, 501593144, 473402617, 875357233, 927703205, 378525897, 460643399, 995457954, 983732107, 110351933, 382207218, 776842911, 436892789, 776478026, 317492757, 709901514, 293404794, 408349571, 698847777, 554047371, 171083783, 492991451, 996610847, 762323685, 113510329, 30397663, 838880002, 431091943, 762375964, 172607798, 457232270, 677099064, 45278460, 343643509, 282625258, 536386012, 623572129, 343557864, 207070604, 861780848, 330391583, 511833104, 965356500, 587941588, 337025890, 993047653, 893757507, 672069728, 775613381, 598565832, 326239915, 105977085, 730819118, 578500584, 398057537, 694244654, 196234371, 683922872, 102803749, 975923839, 494999817, 796753065, 863892375, 178765463, 595478050, 245851555, 144123548, 486316682, 72750528, 971034115, 791098315, 625161960, 981414822, 547863718, 809825678, 619238372, 518295366, 771946608, 781731531, 421288664, 810681132, 327301511, 68400981, 961865539, 303987364, 812935869, 629615935, 992087106, 384044584, 764838825, 422725808, 753265590, 631445652, 462290739, 506992702, 472954955, 166943075, 455996332, 330052972, 183166519, 767450388, 151919399, 777694151, 115624868, 693126730, 412742918, 276339699, 909723994, 394123835, 985644098, 231096412, 455939495, 740444731, 48714941, 77890466, 829855699, 418294928, 664555361, 206530268, 828001660, 874766053, 173358247, 87577803, 592437381, 710160379, 960044147, 913323848, 701377318, 46124061, 54918782, 420168371, 332471514, 985092099, 823399348, 148399866, 307383818, 16213463, 504372371, 873625182, 491035599, 355905572, 604229139, 223841323, 832213544, 809051856, 576426116, 246562658, 303648726, 475713113, 608345795, 713411653, 888314094, 791340526, 957322683, 26686115, 51274608, 739073967, 467320292, 212273973, 27844327, 312936692, 250128509, 958172002, 939444925, 24829943, 789897700, 507218351, 990421421, 345219169, 458579551, 999240212, 62418172, 302875064, 602065114, 489975482, 878639391, 300376549, 934341092, 398829507, 555651244, 569867008, 67830210, 116511934, 976691791, 211950031, 749615015, 206366932, 439818204, 489308365, 676442434, 212643114, 415783683, 246774938, 670542717, 18229470, 770718221, 575125493, 927650943, 945829304, 705015784, 518411848, 830943364, 456938958, 159519816, 884411123, 994404654, 880211885, 965379788, 268527564, 801818286, 463878275, 346570963, 296150583, 533421253, 519799584, 261107120, 783578107, 75750668, 323045039, 842065704, 553132250, 934115055, 172493117, 538664758, 512418833, 762587782, 911160168, 923967341, 248955833, 470174105, 647715169, 414552925, 995787501, 176515683, 322124607, 494349245, 404491574, 17216156, 889146321, 719918986, 244003005, 69526277, 695234226, 891023596, 585643813, 100434614, 608979324, 139781049, 917796181, 551474055, 874197933, 516895152, 816721310, 358740415, 492566391, 902326068, 249923216, 467968550, 653410255, 70654445, 380836438, 233868101, 466952143, 38058659, 143801568, 445048836, 350920626, 484240715, 952709258, 762473188, 218610389, 261956298, 21050248, 418963634, 415553761, 496409839, 527711721, 674519839, 843545729, 409402862, 77673808, 979049110, 918664627, 560700313, 629109723, 233956118, 901021113, 159067317, 89409801, 32571748, 129959394, 361073304, 417040468, 950492025, 207292303, 790947402, 572854057, 465102550, 355581225, 947651879, 890480655, 658086407, 568202192, 633151036, 904720416, 160157293, 648138244, 382366937, 16670061, 590902725, 628488936, 615628483, 710398817, 316899145, 820020039, 878797957, 579239004, 68407657, 257158384, 687972923, 368350212, 183696140, 65715779, 243837687, 417290533, 839661178, 808931610, 711708609, 960681546, 927390508, 322942423, 111333242, 482124557, 241502646, 353908716, 46258546, 179195093, 802890799, 485078041, 182647679, 519492079, 489804609, 595355196, 677020555, 976007475, 136361609, 123681008, 386329250, 996829780, 718018578, 827574023, 766047874, 552808213, 151079121, 671571059, 701964781, 611817126, 782061936, 418257922, 65065911, 203739513, 498954865, 514866542, 240946480, 700023022, 72041340, 612723580, 585572021, 398615193, 645978474, 533267271, 957736093, 303625272, 16044192, 334142717, 593750782, 725026017, 709596173, 445444613, 39014455, 551926971, 438923583, 252232395, 652149870, 171242181, 662343698, 829821118, 620437081, 863574996, 553581994, 655462169, 793786933, 966681584, 279613643, 436537708, 758154659, 233406500, 172493877, 174761113, 652961074, 720739691, 698553783, 747641610, 88165354, 929433707, 63511742, 173769838, 849646351, 837219068, 838766033, 115908575, 821430693, 719797024, 86977358, 883285888, 381497789, 281148014, 466806421, 346048288, 487431479, 754295499, 343779927, 883719395, 136352912, 374892514, 577691385, 443382753, 513771230, 201295366, 129400269, 589116209, 365044718, 875909379, 867537118, 230125326, 224437041, 594977356, 544791242, 9309556, 2403225, 67329345, 113974143, 642521759, 531456406, 547053106, 916954886, 762993534, 25827077, 501109909, 378502384, 209059283, 523060594, 666768822, 237304759, 702984439, 731413650, 799665299, 853614503, 393660400, 180808946, 731750044, 836567176, 136492363, 397960194, 825719167, 531226240, 65845448, 911491861, 521893743, 465942080, 104309263, 921015595, 466323383, 680318523, 145693972, 660226238, 2002506, 389946126, 621208232, 541499088, 29130143, 957437004, 91616250, 995991480, 292507020, 518811718, 645439120, 642088395, 56278298, 45014158, 732864960, 243021652, 785767518, 595740221, 447430378, 442037466, 252310817, 126463849, 166078043, 920439658, 692501619, 967062902, 109703786, 159358652, 292888350, 286946163, 794465073, 953896184, 488696367, 694447833, 514077884, 623698384, 889122540, 988330414, 719823643, 43099113, 783347634, 671180022, 227811921, 34734668, 831445387, 172104314, 718903769, 726053943, 430235276, 612957612, 536751428, 420009525, 140318079, 599216181, 510389499, 798001035, 176714560, 983429806, 4677472, 817201122, 887199114, 229220400, 109743706, 807522285, 796087868, 669220175, 601686973, 81102324, 602514165, 73663214, 752319520, 662264236, 659862950, 637704911, 754783782, 92575578, 987404276, 949971578, 835385227, 931470303, 880576948, 618263818, 296196519, 113105588, 767714964, 2278594, 353673830, 305173248, 711802783, 277857267, 336268075, 580185159, 904664696, 229692712, 398114547, 945075489, 800710525, 170378046, 785456337, 564328581, 994896889, 667945259, 81001836, 349635475, 700002131, 546577256, 523288510, 178830909, 240298462, 84919439, 223369076, 224624250, 177534472, 717814797, 377129908, 181061434, 450944266, 932216735, 148782910, 584803947, 354754710, 737323285, 354999978, 158087133, 403063225, 962796625, 194293808, 918848289, 402965168, 667782082, 112424708, 670411841, 294868685, 801715899, 932495574, 408765928, 591638641, 822866402, 68263756, 220210485, 638843804, 597246151, 366206532, 253487013, 321148092, 629169193, 802954307, 840715490, 170104554, 177789020, 203018664, 758495139, 838387061, 681785218, 651264158, 358689434, 250791885, 810478601, 721794311, 344711552, 372846269, 423598305, 150952440, 84748862, 646502257, 863921611, 644845902, 277811761, 521487702, 364861491, 95604818, 455611392, 724318205, 650255808, 153628075, 327581629, 477706750, 750700531, 351309982, 244853671, 600837550, 404174399, 549152188, 574079186, 709846238, 623164232, 259257009, 162263739, 810210546, 918124580, 144571337, 56788400, 147905858, 545729866, 201411566, 599456185, 471622779, 919007752, 241080123, 682835498, 983937044, 446435730, 945906122, 589737193, 745709079, 512476683, 963627819, 221027097, 350768254, 375727501, 647316329, 18683035, 349547850, 286667764, 16293965, 446083949, 981094735, 870927667, 868739110, 976661508, 65175929, 472726220, 578139078, 815300038, 394781459, 333888493, 471377795, 58901649, 735836776, 408504573, 148214577, 881363648, 464661601, 534174692, 380691076, 895416727, 602877364, 866918970, 566691272, 576641452, 482543394, 460418436, 386704507, 816884897, 983259294, 117135735, 677645174, 234213350, 816419238, 943285126, 438214421, 423243125, 27865639, 757982447, 991362237, 592722701, 805752136, 935959959, 342668517, 317421329, 128037771, 840852495, 889166971, 748591259, 760492811, 496882038, 878296790, 849442641, 850883852, 65236171, 309272990, 583222921, 465397108, 285670366, 304452688, 557657084, 880389805, 38641105, 154228269, 856397665, 316154076, 687898914, 979320295, 638298592, 459222319, 752088173, 922102754, 114176958, 307032142, 676622702, 523860672, 658004157, 721684275, 17195963, 798482930, 244434269, 352554861, 687326174, 366473399, 543754571, 736830796, 519908879, 831000168, 51643123, 997008977, 230670829, 580627594, 279305748, 315248836, 669440377, 169524490, 39199662, 296718757, 771893518, 918588919, 827816302, 196339611, 502277162, 990006215, 983852595, 882289341, 308527219, 537569531, 915782909, 702111537, 550704520, 557828253, 943698148, 248418936, 342955751, 933197852, 340708015, 496074483, 196531117, 337796894, 81549277, 51086747, 753467781, 627767204, 689486741, 175123045, 610898300, 31905517, 440962231, 181523729, 823983124, 231811186, 33296080, 847182087, 699255409, 958890142, 303676846, 462048041, 558807079, 216810094, 819465833, 248355457, 186660198, 759307899, 711783195, 228017511, 805108908, 835032343, 505821695, 312222322, 646057774, 268275680, 427320464, 828525775, 684616028, 512062368, 732444731, 590402042, 937541389, 827410738, 263859008, 264133543, 48811408, 274824270, 317370719, 903210025, 965159828, 286933033, 20439728, 547380658, 487372701, 753492677, 78901656, 585010131, 289998581, 968890289, 76190630, 842697153, 948092837, 90707981, 105540581, 521186842, 596708234, 202486108, 318456535, 51046344, 47323987, 630682720, 388059705, 906762321, 772664000, 271319623, 14953562, 305819364, 638503283, 326860453, 263627347, 181910737, 289239205, 578571383, 901793231, 18876324, 770705189, 142064615, 916913729, 395193970, 250020153, 18744907, 736832061, 151920930, 341648633, 177045183, 186598794, 549474461, 486699745, 602504200, 667460303, 652473499, 505572411, 692860583, 593697343, 621654860, 394110136, 796158926, 313985101, 136154999, 281335981, 438855673, 201569225, 162349639, 755011712, 655934239, 825405401, 723024708, 654813557, 991335689, 130106891, 133673409, 461861464, 980669085, 162133069, 803292025, 808452056, 230956484, 727279753, 375662963, 182329649, 78642792, 174795892, 145421651, 583974269, 412805246, 70489617, 162412821, 759849388, 326291212, 47796241, 910063256, 784650205, 347364078, 372181798, 584482250, 152824871, 206494068, 24226320, 726132935, 420496386, 862292314, 227082843, 559714901, 557205438, 426979968, 494489599, 502235324, 1711233, 294512699, 289442098, 755596690, 823002055, 146867568, 939604013, 776068590, 337101256, 726027215, 927277631, 101217214, 2515924, 401913403, 160036808, 577545223, 610757467, 674452980, 514749692, 199524, 222878231, 462852188, 630981576, 511133957, 953247907, 716652086, 665797138, 995982466, 197985782, 109395425, 362333439, 203926749, 841505612, 453667724, 930855094, 138607912, 284857710, 891402800, 808647926, 372376871, 451961478, 30335963, 212408542, 931647748, 880732298, 909292898, 715618793, 340196968, 627092366, 991879998, 487061701, 959082597, 803594579, 132378013, 404322236, 534025560, 863166986, 874609411, 971361212, 435274099, 808426375, 758540072, 618314760, 542863883, 369970344, 924780878, 251028711, 855973225, 968439363, 688679248, 761133170, 773706712, 160145093, 154955355, 85535639, 113676056, 779428221, 890892940, 236765627, 936041824, 422337656, 733034539, 97889174, 789154270, 988986140, 283635521, 686870549, 566448216, 926944547, 130856677, 477818075, 999051991, 142908712, 780469103, 955418446, 12671596, 203508303, 396308488, 15958049, 80942206, 998856618, 286366185, 773185030, 337242896, 247068161, 572397404, 959747069, 780375337, 920473359, 762358669, 96348666, 191628956, 359912500, 894377997, 383531122, 992513374, 863114411, 123223475, 331117281, 111454815, 146068159, 17998919, 792081960, 324095230, 740738385, 4538105, 23760733, 361416907, 112179756, 640495097, 711389633, 393175299, 904470866, 849687846, 166196956, 854521106, 769661475, 431616954, 47225919, 357753241, 100502841, 435870170, 522505406, 787143188, 777281050, 544006450, 115850087, 776187856, 756841900, 728363744, 487879185, 480237569, 626136148, 680884811, 198794370, 600833948, 312835782, 86755558, 226055073, 84841663, 799070048, 110725383, 507796270, 121213442, 914122816, 236639969, 91225487, 509205021, 241955340, 554195290, 102788987, 532764824, 235979035, 998199025, 519521535, 708147275, 370965510, 717195102, 287307171, 901568896, 196770293, 789106566, 788021202, 320815433, 829344743, 510897421, 226210105, 889983693, 748420295, 269793495, 605485694, 998344298, 417777609, 315159805, 595333107, 266213833, 817869714, 84565829, 26254617, 978680066, 642599485, 901946470, 883737561, 490388772, 620297946, 769128005, 471259975, 878969186, 915349389, 489046350, 942542467, 658807378, 585809855, 28095267, 32487163, 124850969, 475871183, 847426710, 540954617, 845394691, 253340775, 14449069, 221867263, 215042554, 88127131, 396013609, 207768642, 828687069, 323677791, 172338493, 390096979, 435490697, 720454955, 597604713, 655675881, 103210493, 66790975, 385988438, 721779116, 23253398, 114728284, 742143852, 227586237, 130918121, 715557492, 7489087, 15348326, 686882858, 985097392, 477011273, 471349465, 948082076, 56048970, 95307897, 879641798, 236062681, 418679563, 595683699, 833377412, 241666732, 500347542, 179639676, 748742510, 358838083, 700083763, 491514724, 363817309, 796484073, 352543013, 692281114, 853957450, 848210620, 160490076, 646460693, 676518066, 532161387, 568097782, 955767818, 573567415, 224496004, 6956404, 711161963, 720761647, 862038307, 283740191, 463515502, 500709594, 250943765, 26005570, 966322209, 231094183, 553690511, 533821231, 938893141, 959012379, 36426698, 759199812, 674926136, 997232536, 215452537, 712321224, 522709672, 851734082, 183284157, 685126017, 316258728, 351785484, 26090119, 847797045, 261812345, 475486673, 556190962, 105807444, 464714838, 827565151, 502851926, 179000117, 38179848, 831576208, 955753969, 575065051, 903029051, 286214098, 530212463, 158068856, 559040597, 442502743, 162096310, 14441422, 549209899, 687095400, 187906450, 589159800, 874658086, 744488200, 683596034, 13475911, 600132368, 619066920, 764773595, 381069003, 348340709, 675278253, 371895550, 581459614, 614028431, 639445191, 794266771, 256171548, 745242270, 123406029, 608590605, 827544780, 720304329, 468994185, 556249330, 627413, 483246293, 54452325, 104175791, 555424203, 166577823, 488132449, 453713239, 130091690, 780607593, 880774575, 13466214, 625531798, 732519845, 86631301, 510777233, 33188062, 399558906, 355647493])," 81317 (continuousSubarrays [415902931, 343918193, 266220156, 251496706, 916594909, 183487908, 819573683, 410909122, 643194414, 542676937, 741361623, 663328036, 45885574, 599661110, 732324972, 589920561, 212123225, 426626601, 807144564, 694302537, 772834813, 789341879, 392314988, 552007717, 263515005, 391851564, 564745148, 139830474, 689551940, 165378192, 321798758, 251764230, 991334235, 455498208, 876688063, 215275076, 108543552, 182735520, 746496562, 176279307, 397900236, 980928708, 345715919, 739154585, 997386296, 31023045, 222116835, 696596571, 13334236, 105144317, 892424821, 880810494, 458810796, 731577998, 56097675, 350216705, 158484779, 258345418, 316801452, 954710160, 978449971, 398444692, 594275240, 970744182, 962445729, 223212988, 94925571, 889775911, 294377878, 667486657, 396086192, 901351444, 76539600, 279516041, 867398776, 310138459, 904219404, 548448102, 981365777, 320181554, 372267031, 666373363, 206976135, 946980399, 57950865, 651010321, 404777463, 765177493, 398996379, 486642989, 896382232, 82044705, 634153953, 204420548, 81201212, 782193870, 359964206, 507217952, 698119207, 239188305, 205081346, 558756534, 684411477, 305146010, 35717138, 817373709, 572024012, 817729927, 163305744, 596313192, 470326851, 276051153, 927905239, 747934607, 406480377, 443170362, 306728982, 961927303, 665406848, 849498963, 666404594, 89932725, 110023860, 623536733, 804489569, 337429056, 27941402, 911436544, 820114609, 735724962, 849542104, 970410031, 824695979, 612989017, 228198781, 163671669, 425047327, 733258319, 175676043, 235542330, 635435810, 111609030, 748803563, 216347518, 690435317, 348292694, 192410068, 756518625, 141133842, 895277409, 423412464, 982930597, 951557454, 450477299, 377496863, 517720039, 535768354, 168937136, 698585749, 48994540, 981597766, 449925297, 426565962, 59344853, 372583531, 135430136, 500904538, 365822648, 612100021, 118903581, 372615514, 498626430, 141267371, 586331432, 605465237, 387101865, 773812695, 44337623, 500160290, 926248803, 539819333, 37656570, 949653760, 818851998, 648245026, 374331139, 981894497, 903376118, 380876813, 117255510, 90479634, 461922021, 733796555, 775917412, 663608923, 916628077, 598712843, 926608942, 340312690, 614996364, 485920670, 763269902, 222557106, 720760553, 659147595, 798312082, 653358631, 431722794, 874054726, 540310355, 700299066, 124649589, 479420597, 74118813, 625057465, 450014467, 808583398, 666844052, 669409336, 172823296, 15052321, 589243485, 972321292, 216810258, 145194116, 58657973, 879739883, 516664462, 201639713, 547169435, 409245973, 361577765, 813347465, 469742829, 267107686, 108123445, 707331600, 727328589, 158875624, 387372819, 545756407, 495169015, 916966998, 76851608, 159552681, 620094824, 88424962, 567795392, 584383377, 699887772, 543563486, 636205583, 935426129, 751767135, 977879847, 240199148, 535654032, 82285700, 382886394, 708611150, 252892534, 51695558, 543309343, 887453022, 787203849, 230828377, 877631359, 564224902, 847641766, 259416389, 122910781, 819435044, 367118408, 43350399, 719347191, 543652343, 382337780, 69323814, 166711995, 278657005, 438130251, 242251507, 173125262, 143778166, 748412300, 161845701, 404818465, 631928486, 904417072, 134001332, 971231479, 364485339, 167348442, 776007602, 425715015, 100769149, 304539230, 303357812, 587295883, 358963447, 967471207, 148562585, 388835795, 45826475, 334158277, 876319935, 629143648, 424816940, 659259782, 752361212, 431337393, 445267894, 398390358, 665687065, 205928369, 953084298, 138321091, 771947051, 346275978, 560808132, 288186377, 760170616, 50086999, 436606484, 858979244, 394007143, 612374509, 665890061, 159186635, 244066046, 711577310, 981120278, 787759585, 530186071, 722324102, 680279425, 971230274, 822541505, 123414448, 274564380, 471408428, 601789956, 885465084, 57027470, 570865181, 979046542, 180027116, 460014818, 985024417, 560074008, 381781773, 473390163, 525110423, 475707615, 126679862, 514656123, 95605997, 67775680, 301098014, 264024852, 926381537, 473311241, 108705898, 500084279, 516676800, 778974925, 553024639, 555337372, 485450061, 104179915, 803004275, 184407279, 235526325, 371294052, 223093969, 655591449, 459926030, 530201851, 642145772, 525023518, 468809826, 874923671, 501587638, 677137377, 950827993, 480428390, 363995121, 155292808, 923762237, 757371572, 88947379, 694894144, 243376480, 729389169, 392027665, 653904713, 813539533, 862793901, 654334365, 931369696, 68302198, 559183607, 665541995, 221591357, 762741076, 159857055, 871227047, 499415051, 486039621, 159431606, 11778775, 632909231, 787866621, 990429816, 912217229, 239241297, 503344535, 60105056, 465265818, 551428341, 131087483, 199786217, 63134374, 323486675, 491542166, 758614678, 357311342, 572343650, 218913868, 564501740, 322199933, 438790300, 225531396, 198062739, 384893895, 441912825, 175638373, 277513619, 91317600, 148289971, 597198109, 205305918, 249361347, 662630540, 65558320, 168764773, 549188770, 643419810, 876225308, 606985887, 273898099, 375519918, 653568634, 265557482, 326560752, 309328679, 14302393, 569914931, 135218898, 516235740, 400077968, 721441250, 476512682, 483941521, 404162131, 393365293, 11449542, 879912141, 262942089, 945331120, 854311826, 340673963, 896206661, 963141047, 370096397, 301784532, 593329434, 852363231, 711714698, 787822287, 434337915, 152493368, 132734514, 388228301, 709145968, 726983239, 523139762, 768797466, 741788982, 752029251, 684075679, 958927940, 577639504, 944217021, 599841786, 707840487, 248977856, 594454445, 900709692, 467976351, 399766897, 379150375, 607917522, 408334398, 854129910, 619887569, 807290715, 320707811, 549330623, 437307127, 833667633, 943075445, 145485948, 81449846, 928745062, 781275911, 37515882, 950948526, 925455693, 67662739, 762077401, 126687793, 299297581, 720002928, 427858529, 403527296, 982673616, 806118267, 39181325, 81126914, 701223925, 527054232, 477357094, 594426372, 179751606, 324394627, 597846435, 977707861, 746832057, 217609570, 254370142, 117410536, 618146951, 881763355, 823970630, 268544114, 200897891, 443180476, 393233634, 32912048, 263885175, 26709958, 912919408, 814596187, 596847315, 140510290, 867848251, 814987943, 475312984, 885538269, 853418525, 130739000, 280308826, 602266456, 938792077, 308991245, 869648497, 621946378, 943797994, 179675240, 110117178, 41430879, 385218589, 212131683, 369930198, 38140291, 316668078, 624460174, 940497197, 454608013, 833389785, 342236403, 181055820, 493301053, 80215646, 659127078, 45340872, 210618389, 696552416, 837934125, 342997290, 853071954, 734877215, 917544854, 852499446, 254114464, 973800383, 811815065, 108099828, 990819965, 463543612, 530888483, 96638612, 411579764, 934331239, 520287528, 37805397, 921106884, 640426059, 416280003, 912937942, 223176476, 774291540, 814531692, 791424121, 359216579, 111950214, 366505788, 988563424, 295247481, 110137226, 156294890, 419560002, 408577301, 313586169, 550357513, 876308477, 437205835, 79377204, 325471745, 12588973, 114081620, 383433022, 834937520, 409231311, 825526602, 368046298, 400032468, 393909536, 101946552, 540132651, 379797928, 890731502, 857575093, 791295460, 489939814, 89323658, 402991123, 427021515, 709457270, 41336560, 938137497, 301887951, 165545221, 362383210, 810879792, 636549198, 489341040, 823131648, 915984233, 303781349, 479498612, 385001542, 541693676, 573558863, 510891225, 444028533, 889454313, 540363646, 928270717, 88745581, 35929672, 488807567, 447994293, 155494206, 698751037, 298450577, 548885397, 255135343, 667981461, 989740351, 20515178, 401874407, 987571033, 726500474, 571041455, 84540112, 31360380, 310260296, 776215999, 198961617, 417963939, 144956746, 628473133, 772183586, 956822830, 999096513, 43685273, 188445688, 654342728, 589270791, 19297632, 641302262, 188550051, 977227750, 404037387, 169012380, 708262880, 764890124, 855467928, 585262432, 314138860, 366288161, 776621414, 317399983, 844938538, 843064638, 51350869, 375136826, 368803587, 256849950, 919061180, 637721104, 686429659, 400201974, 594623130, 733324199, 119938777, 893355661, 261240180, 943725233, 85372073, 25991337, 109468766, 972467970, 866350374, 133906251, 447989266, 334794415, 256900901, 905952094, 117812741, 220933019, 522344545, 615336554, 26921928, 737757611, 644777445, 319778814, 195153693, 56688377, 912675542, 607989150, 359941448, 426924141, 198326046, 521793884, 610626797, 899273984, 551956070, 860233591, 514946423, 14750699, 786155699, 973917161, 494080151, 649919430, 26479127, 905060380, 418727474, 297174942, 846276599, 327938165, 541235879, 480941781, 90636134, 212672689, 904218174, 143551685, 548377510, 343960900, 33212668, 863546682, 114065982, 999189930, 85082454, 918982387, 656568206, 45636337, 969080868, 217059411, 250798351, 784408324, 884424341, 783340188, 315343412, 193563098, 659735953, 121066460, 650016257, 998679653, 383191728, 612291913, 536058969, 281559985, 446460923, 420342884, 979485752, 695888234, 485554056, 800927383, 585717697, 599539894, 917876401, 425935333, 802314797, 261121982, 585796198, 734136831, 782391497, 521669383, 691406502, 372666024, 56537220, 489598454, 181815522, 582336535, 837892317, 490755172, 558334744, 773718272, 384994013, 984251427, 984679836, 44396218, 710244085, 205938018, 125441107, 249899049, 980373875, 548349804, 415091238, 981065993, 610621714, 93111988, 653339519, 890019947, 789187318, 318823886, 614224585, 633385937, 925582926, 864844172, 7868899, 742202417, 545800947, 561876572, 875578320, 921195004, 931366309, 931275275, 788099939, 417768958, 299851617, 836067526, 790105584, 39692929, 616382255, 98140074, 687177418, 761967952, 772748537, 275315241, 118206894, 619824781, 252652477, 794173579, 186382068, 10723234, 187088429, 414963981, 57333333, 874954463, 412518961, 156763648, 670778434, 340118276, 593541945, 888702329, 829245261, 768173067, 495261498, 599363134, 442116198, 209548962, 157114328, 191145118, 273520023, 521543459, 460745407, 804019667, 669709185, 919926155, 496766140, 394107609, 513190794, 205409200, 290347936, 785662769, 280470876, 600661780, 714026288, 114555845, 800388235, 227407620, 985616086, 153380624, 431848248, 618835904, 466713604, 524410020, 162629189, 556422154, 123282528, 237265904, 728600549, 453960639, 946996998, 126725530, 258892519, 655632965, 411844729, 625879106, 899717627, 321193051, 284821106, 59134746, 208723990, 406193397, 64899581, 277501112, 349323520, 987418542, 560639320, 141917865, 390260102, 101455033, 138984464, 498012351, 982652185, 611842758, 632314569, 283311835, 949015010, 760547535, 953130687, 550659892, 929877931, 359473421, 672262007, 137651174, 474010919, 867041306, 770508769, 204424287, 990063011, 173170699, 394339916, 743592053, 692012165, 550116076, 777700405, 816860400, 967099490, 53486911, 694106671, 198151680, 312070798, 792301040, 352617740, 359823999, 633304835, 241725097, 169276529, 945998733, 618684063, 198166443, 816803088, 283080272, 617690904, 576492605, 578188824, 209324202, 276420259, 841043145, 832328682, 94544538, 118719179, 472245613, 339503332, 175011231, 489384553, 380019973, 358751815, 529196253, 238794070, 607676745, 814855859, 355917580, 996980214, 500731470, 200577529, 260006012, 26657560, 991919687, 294784898, 736175780, 219525471, 637569872, 138966025, 189965450, 867559998, 724256132, 569587683, 175695635, 684850772, 298291560, 812231200, 899045283, 810970786, 286761376, 383402950, 458407692, 930299966, 398095497, 847480246, 431422509, 566428017, 791425006, 130818957, 684618461, 968607979, 618042115, 295303881, 454510298, 563179362, 28870578, 194820456, 568782832, 682979358, 855258783, 78583497, 120494735, 772468593, 227204808, 526472013, 884349547, 952231280, 931281800, 467267741, 653091425, 142902506, 631515518, 253553048, 338079384, 627550829, 76932888, 943051586, 126635481, 500954344, 801682612, 979997221, 643283433, 13698932, 28660680, 441726112, 246449766, 599087994, 287026219, 689661734, 397333955, 949483901, 151018152, 130670962, 582993010, 467929741, 990458999, 528218405, 24211219, 886495033, 344673256, 192842794, 491298802, 302058888, 502537110, 988015671, 491420042, 680424891, 618826640, 226642954, 927551037, 998683274, 892575330, 100849562, 140635788, 50012733, 341035251, 852459121, 108464795, 353575354, 180152314, 635450499, 89918449, 582578237, 318984094, 628506862, 329546412, 611824016, 868686128, 245684142, 867652842, 476617049, 560305432, 628271533, 940401454, 716513579, 473252054, 792790347, 89034853, 455673819, 448349076, 991271869, 327105550, 602993663, 910781760, 245948404, 181902160, 893509760, 802439559, 972008647, 574300880, 849416383, 479694826, 213468710, 686417796, 12131605, 759141647, 673343680, 929768719, 398677744, 230171887, 536229341, 502697225, 8621351, 444608161, 954505555, 320444496, 763608538, 541152835, 754093180, 348261790, 731870876, 297215714, 513582291, 33685032, 945308068, 214179253, 722307252, 494532577, 342070717, 549271982, 678121432, 174626782, 273911249, 198443744, 176441839, 578572123, 283499836, 948559193, 820007248, 777345593, 146463876, 794239644, 411276076, 198687112, 369380238, 234625304, 614278361, 568577000, 929861978, 279832732, 833998916, 887232649, 163297983, 906687402, 221457235, 8196848, 623931127, 812420368, 606172951, 290113567, 283129979, 597980013, 36242679, 903081199, 26738657, 41378097, 662575437, 741675378, 889829968, 288350116, 705852682, 226311698, 170109999, 660407202, 56075760, 43814766, 827412657, 376765311, 661831955, 281993556, 160051272, 319774360, 151301347, 184069574, 982240264, 784741467, 244750084, 618309713, 564069246, 307846258, 700893594, 106386154, 941471149, 464414105, 778073539, 769283539, 3763418, 580817187, 437744161, 151350776, 309962724, 557210490, 191442566, 553664640, 35241531, 244878978, 581571292, 922390607, 100939814, 232335133, 229638070, 412208733, 146578803, 913949773, 14029973, 730579429, 520278699, 729811993, 545322699, 440166877, 582515703, 565588988, 130618091, 372864829, 232394494, 348115471, 506460365, 599819717, 135669236, 603693565, 786042117, 111167478, 265267581, 42618303, 8284606, 233792584, 866084623, 49927977, 911140656, 449105107, 643123591, 687395818, 532818270, 689787965, 790340589, 755500740, 48818335, 196865366, 413225471, 396125602, 118780422, 942775087, 595993221, 850156181, 542511697, 959505827, 668010806, 446265171, 731612981, 621407556, 351925506, 652542430, 450549982, 899159930, 40275843, 719902455, 916579810, 48003508, 185006249, 545000289, 508807244, 492022468, 215760334, 847561596, 257239832, 307116450, 6635172, 964773198, 529186330, 840943613, 768013422, 619013824, 505897222, 766105844, 841605557, 484130869, 233569649, 916450692, 376755377, 479426177, 700999389, 53907425, 597054039, 215568397, 620654148, 446264637, 22768052, 134699762, 740678283, 700172819, 523754930, 294118369, 628362335, 392483255, 131631585, 85480732, 305983558, 809282938, 513706258, 303391000, 446476712, 776161599, 915611511, 201467652, 143115152, 626091712, 112487937, 952711908, 172869051, 451301594, 362766179, 242973290, 393353834, 42778944, 654637361, 777266430, 632176682, 990433001, 713784885, 263688680, 284520555, 737811258, 224396004, 197808097, 341480987, 881277109, 975537957, 544704402, 78626213, 100125785, 131586059, 979527441, 623791799, 228831939, 974705152, 368335886, 202810047, 869593497, 643604524, 696160398, 891428634, 164292548, 898212469, 111586326, 859013929, 696000410, 318421120, 898674055, 497806398, 814066756, 834522674, 357888468, 816841562, 211728407, 702680887, 874222899, 238700034, 421065613, 54581, 681152962, 876568723, 285497070, 329623789, 75975532, 920867244, 251148866, 681414139, 957853167, 244914221, 752228579, 279339488, 749666579, 388249400, 4801154, 78712371, 354388024, 242310714, 735109332, 935100651, 795591037, 633980401, 329092036, 282510854, 440041810, 705635003, 936183632, 256236473, 578547139, 161836620, 940234184, 398847610, 33611306, 965471222, 381623886, 955201404, 259720576, 939499629, 643399769, 164048277, 304481041, 400817342, 594069941, 95186122, 657805226, 629679545, 836358435, 881607500, 120267799, 171431270, 696611255, 646038085, 424259836, 109764682, 542153748, 93789679, 724228038, 705852733, 217642123, 446402304, 491951158, 980474347, 708377586, 842372511, 976882548, 432496085, 267659998, 822594553, 130916915, 5134118, 356509195, 263898477, 110999291, 297873854, 355324409, 163011428, 559408446, 99435658, 78131107, 231995598, 815207977, 897258097, 839188204, 784000383, 159108332, 696359633, 50932674, 110776450, 466407712, 952209160, 828860074, 47546523, 891243967, 252519533, 164877954, 381444813, 491867704, 791304451, 17331092, 964255464, 668213815, 871275306, 873264764, 593039755, 187112222, 343064180, 542773845, 264582860, 660393043, 647601005, 776194456, 896998029, 989291709, 113474139, 88662129, 769505031, 482152702, 833393927, 355844506, 894417858, 292492921, 87604666, 902012321, 586207225, 501646501, 981754779, 502288558, 877379895, 706413168, 576148970, 410578235, 20945747, 989181350, 17602072, 683196311, 188584409, 131982612, 978220697, 306486586, 759703963, 144768016, 365980024, 65320353, 799275979, 92406049, 998675190, 338575038, 920898466, 53836609, 968526252, 853152894, 789501549, 414800251, 771545069, 23458685, 639828234, 500157268, 856064389, 316425486, 740406692, 200040871, 83306361, 536199447, 262281238, 267492277, 855876600, 372826863, 921586054, 962690980, 332166512, 846311021, 208139679, 968877624, 900835663, 526083887, 936151061, 58566586, 865214042, 189345854, 42569812, 962868930, 905358820, 701685172, 447789891, 902949797, 415618356, 282859584, 650268084, 8580589, 411700698, 666725777, 668158529, 104897449, 896537086, 488498362, 768907014, 807105438, 356068079, 385921172, 60483201, 174599726, 697904490, 626152102, 625759667, 945859656, 933388664, 566902118, 530910643, 535038847, 535951233, 758715057, 672129773, 898138443, 46515879, 180988489, 713885754, 409614037, 904997139, 622838313, 361280318, 139586565, 805605129, 41162927, 841603864, 112220197, 986753209, 960244374, 728915396, 474392390, 426945710, 634225484, 964830741, 429334280, 97755248, 106752260, 852793020, 976235925, 295065926, 825804272, 415663815, 431893425, 636849261, 727164446, 598380132, 345053103, 455043602, 775522277, 321665020, 742300155, 169443938, 488823775, 203696483, 75850661, 392404870, 591138159, 349384546, 387939524, 11825507, 930571331, 426634776, 680474276, 59946238, 201287729, 292570, 894720462, 345091225, 995739924, 746161431, 912848934, 557137626, 196809404, 835035144, 35619532, 974242760, 592392653, 863278427, 19959589, 286505553, 959675261, 715976838, 182025071, 620280942, 450656400, 638674780, 80528605, 530312303, 4128717, 409664605, 796178829, 414779144, 6030155, 761645867, 35248316, 964474520, 910906170, 268552509, 998034551, 884625023, 3009414, 342066015, 340353639, 161064763, 994890192, 166831059, 621435399, 625304861, 518291640, 557128863, 446249797, 57288599, 152426741, 348092660, 787332614, 809693333, 511269214, 351901108, 944629385, 875581607, 592461905, 121901661, 760211342, 639602791, 959313310, 929319598, 487022892, 603282233, 894982964, 770683677, 628888089, 759460265, 135638920, 121279303, 428917572, 930555972, 21832857, 712376596, 721944545, 586357821, 594600467, 774164215, 649113424, 2414758, 232212123, 3944493, 467426076, 521470628, 995071724, 512231976, 684765594, 247706270, 300585372, 191150210, 449348711, 986573883, 861011457, 215489592, 25705599, 354527756, 900779411, 958352047, 602167790, 989148488, 756985814, 220859629, 19092827, 350932159, 281875443, 545206440, 12865966, 259580504, 432160769, 121654297, 264983790, 501681741, 917960333, 848601766, 163753074, 384446515, 630146161, 211261683, 264531719, 964161482, 394331624, 863397641, 754018903, 21223153, 892687164, 541096705, 887768692, 24463639, 586500507, 637641921, 708831194, 656192636, 655836254, 651099107, 307302717, 812817593, 71808166, 961531667, 481937901, 446164337, 752855343, 371967589, 973987233, 354413351, 522229860, 902204682, 767069940, 965870175, 966880049, 407881245, 780805914, 674811574, 91140507, 994188165, 732896392, 891802091, 158572499, 857223349, 287637819, 986750608, 623374724, 376166470, 950447278, 904412069, 840955386, 401040676, 30513266, 968937242, 953271139, 375372042, 550583618, 562196031, 11916909, 321064846, 562063521, 659899177, 855458794, 97125243, 183133820, 625483434, 149876836, 892305894, 698214810, 670574053, 759144613, 860249775, 799085495, 511329745, 683228791, 798773339, 985665847, 486195449, 35760099, 457314137, 432876689, 128661931, 566801794, 8669810, 489015798, 432577431, 967334461, 988562663, 428296866, 253609377, 626285956, 63799772, 91401723, 713874260, 27688639, 532659291, 253804246, 320566373, 481349217, 774296015, 205418279, 668154756, 686663195, 160111065, 702289077, 384849788, 554419790, 10665826, 907933946, 77613660, 572559725, 502014564, 557192130, 141557761, 709364920, 517389599, 814216513, 447442480, 506846217, 870221089, 125197552, 150325807, 262592179, 506511418, 135061498, 477280673, 740807876, 273773181, 642724083, 314114600, 593756644, 90991288, 853624163, 294179489, 448501554, 665893775, 467779444, 718626157, 404790335, 987039675, 708486901, 970122582, 101432605, 509356055, 501575755, 2563587, 236884014, 908163194, 115523961, 19307673, 842130071, 453858342, 947561791, 656503425, 790588642, 706334271, 215151268, 21285842, 416751109, 985340660, 310289405, 653431282, 501585611, 274181187, 899423229, 748337790, 157178486, 500493615, 270986535, 900485172, 653911191, 320367950, 931052248, 201170969, 554894802, 26300819, 777947238, 498368070, 200020178, 536502490, 82201567, 594930838, 997168827, 977877337, 517137844, 833697582, 180074720, 690381186, 745339479, 364247996, 865682377, 514915225, 179906767, 532890384, 304094368, 248612046, 294792219, 833121134, 550428759, 305328370, 701982542, 301052734, 43851237, 307291628, 973874210, 918700840, 346348197, 796604574, 460052835, 893496414, 505179361, 780071430, 402878401, 171469672, 942128267, 377639456, 253858839, 830942035, 964214713, 458806493, 473632631, 981081405, 922642864, 295549351, 678430230, 914102422, 509611926, 673829145, 627984628, 635600513, 709754968, 290786731, 989744342, 950365514, 766903751, 875964010, 247747342, 192108339, 308274524, 182263423, 562107454, 141241451, 156198738, 425937800, 224086285, 914288065, 404610570, 851852936, 512910205, 43222368, 878034169, 138243509, 938038233, 410478860, 270819312, 264971617, 521702342, 508265327, 584474265, 681247831, 984288181, 172974387, 272581074, 1353079, 805427009, 484659550, 266372693, 633505277, 536132958, 304533156, 948486152, 683118565, 764604085, 805185808, 470262646, 468260655, 475248120, 287633800, 468533733, 258984448, 459073886, 706767891, 236223445, 175585499, 764874224, 942725468, 562574909, 605406847, 887007795, 685272206, 423120220, 137422838, 492249852, 854647241, 198869029, 522582948, 659430846, 917506212, 400306500, 221109888, 341616335, 360738075, 194576435, 169001618, 531509871, 250853688, 324980221, 456714738, 588019672, 495029531, 845713805, 168510951, 978648511, 500666992, 935600802, 762702298, 341328805, 891673763, 301395736, 264730296, 18515792, 484386422, 84127533, 945270089, 640392530, 33969145, 66348030, 204224550, 102584800, 941044349, 131168486, 862882976, 626330819, 459187126, 595521113, 639637110, 173520802, 602440711, 464637515, 143350828, 574873994, 220125693, 613920077, 823042421, 961302344, 793300569, 899578075, 476509459, 323880712, 683293263, 202808518, 585403016, 326329579, 506019079, 518710214, 582497911, 31641984, 920877767, 888450444, 18279944, 48845127, 388522338, 156375295, 685914448, 858397861, 655355569, 80582599, 191712976, 164309889, 142186957, 943803451, 663914691, 646457243, 970009725, 354737149, 417271195, 560883913, 849007805, 838228256, 149440714, 300893149, 59920171, 930281672, 772235928, 242922802, 748561393, 505300356, 129374686, 176169178, 314148666, 739272254, 504761119, 916198290, 653125549, 558384527, 519094754, 258306202, 114719999, 659808559, 8954796, 645212490, 790321989, 158432393, 181222855, 582573524, 347402695, 699753381, 442359487, 359750256, 508747627, 398594543, 870387256, 963415522, 724574928, 653436174, 414480107, 721490191, 889185828, 906219250, 568782816, 537589789, 716532175, 546722697, 777643945, 852130035, 468860539, 7136281, 170526545, 885543856, 82783488, 960449022, 836992151, 514040329, 829975974, 318417595, 641513350, 302678673, 59545782, 42738923, 774542038, 905581919, 419940574, 675426138, 989452754, 385822280, 23332060, 503843889, 739527422, 505868863, 699260049, 188052797, 14161944, 196425888, 974356665, 123482602, 108328254, 87491, 209036214, 587899317, 960678588, 409254501, 165524498, 875497777, 419471823, 384892271, 238034757, 563228577, 235429391, 176675284, 241532658, 19271968, 655004281, 667824195, 910879418, 256305800, 161519927, 396332921, 169550176, 552596823, 369756125, 141390563, 30165568, 980367986, 159807501, 788538051, 24076561, 926637406, 961751216, 324039683, 561135398, 656064151, 897044598, 600511976, 454395708, 205200052, 423051082, 395475821, 845123549, 754290907, 648933244, 158288834, 814191034, 130171591, 195892347, 168525314, 703382543, 997089887, 914834348, 40712576, 427385412, 732430090, 356998681, 55673321, 524723219, 663416841, 564219561, 564840225, 79696385, 556073553, 707208933, 904866516, 280555765, 818083286, 991137230, 824498864, 688568314, 170313710, 515672966, 159115569, 368665922, 781463703, 308637530, 851713997, 31192882, 209788821, 784732418, 673355249, 105154249, 288939922, 291972898, 896421883, 592236738, 706378062, 451867015, 217051569, 292049552, 435396117, 490839926, 779589312, 46507405, 365809494, 852138828, 332718164, 264344949, 907713277, 902999529, 340981875, 992573993, 432887883, 763008077, 540261798, 290691367, 577532090, 180110254, 708922303, 301164153, 328183624, 350475206, 132326927, 563926674, 199917935, 876860122, 876944200, 345798994, 941988910, 967920288, 660162865, 705579271, 239829252, 512245670, 504420813, 822998846, 503533036, 735456800, 31553207, 949425823, 925406174, 684600317, 961678582, 315635977, 451562628, 265510105, 914414632, 749077481, 183981963, 876324458, 594709151, 2415680, 292759144, 221872720, 842964836, 21108827, 929370588, 951935151, 491465769, 188984185, 21789713, 35819677, 799353867, 151215135, 731521792, 183685205, 952687401, 128692770, 953799857, 194612277, 941157061, 535039276, 917931754, 628618722, 534010640, 195685479, 678036431, 467654065, 693847026, 623920989, 742239644, 783326200, 155021930, 711597468, 980106776, 946672526, 179347347, 243721669, 729943923, 155539334, 131500514, 790593009, 169118489, 257009110, 941886483, 446374905, 497385096, 946380366, 725922536, 395095751, 347493276, 972709897, 360229347, 509544962, 525716197, 350361286, 801728928, 118222608, 33113604, 331217478, 444729392, 593230458, 30719189, 433945225, 899385744, 970325010, 813441208, 706390394, 289831299, 861526262, 11998444, 397164252, 848342039, 543245963, 795138065, 399173680, 705074570, 720739547, 278453088, 285185252, 978351894, 59235513, 91750329, 526182231, 25717729, 277883658, 570883659, 111504956, 751345022, 311887111, 387426878, 305247972, 697111263, 820019424, 549168345, 727937903, 409448308, 871266275, 824153472, 216373083, 191211148, 448842413, 444892338, 907140569, 135480380, 121359849, 76328556, 157574604, 901204338, 383863570, 274362722, 592825990, 605671360, 821281508, 49809865, 57744112, 204234285, 735643129, 638923501, 440086792, 709316029, 498926061, 309698225, 560778870, 467769445, 787278636, 17572327, 594392990, 893293763, 670029764, 484477221, 214091117, 753398345, 525451993, 853262702, 127000233, 853471665, 847719135, 439661331, 60562497, 446341768, 990186659, 729298241, 821428284, 432415196, 320514917, 787195136, 824530040, 939554800, 572021302, 264844651, 87550257, 143559288, 641214401, 961704, 271292539, 546329987, 759918532, 824700895, 657950775, 376517340, 136815401, 590783699, 299981013, 889112214, 622831227, 647886225, 945713028, 556087155, 201629127, 703991759, 49674453, 950573617, 920036148, 934861798, 559181277, 176690109, 56644415, 723936341, 40711908, 842650839, 437335441, 312761762, 45733749, 702891371, 592721051, 779314059, 755279408, 707351199, 995477445, 35627566, 275777431, 651906209, 707325827, 314246581, 366587832, 436452577, 385943554, 244764218, 196307856, 749134716, 448204136, 672500824, 875285195, 988257381, 501556942, 425235210, 251132430, 212561451, 363780744, 779626108, 474867596, 438935631, 671036210, 642217212, 808293878, 651218474, 595273753, 471795150, 991634381, 623073862, 714222408, 712361641, 104696774, 138284603, 64215301, 584356429, 767079497, 538805848, 756678304, 631660685, 751535754, 277929961, 196101126, 540771616, 921335378, 575394998, 626149682, 29831438, 528530805, 688473265, 65373099, 393867352, 719021064, 933636066, 278215282, 793601014, 207154299, 994201093, 687435040, 714420099, 61542852, 134559643, 336167506, 712632555, 808916300, 84174198, 367113856, 90690961, 906283671, 545347122, 290794013, 81473713, 824921536, 585082274, 762958943, 819865035, 97716948, 882138458, 177039546, 302292373, 876255621, 13656249, 686378188, 776733755, 646303364, 265037697, 418882722, 934621415, 59455839, 770993104, 690374845, 620860486, 306800565, 102638956, 249114117, 1361679, 655571951, 363732675, 771313247, 587541758, 472950018, 352561537, 438972128, 815825057, 659185329, 231460909, 778161189, 338383234, 331073880, 243888299, 845474066, 692722367, 684926257, 107259986, 726046672, 297000078, 525324147, 588737211, 367206117, 930221753, 682655152, 930229397, 404293378, 318364357, 166218879, 668737992, 560275055, 71067837, 259370899, 836904130, 258163394, 977687649, 206948815, 144271242, 125593593, 681725171, 12730137, 618231856, 8053600, 871570189, 98121064, 797963164, 988867746, 875466438, 435963767, 915037950, 240452333, 597690992, 51257336, 201397400, 444915041, 768969298, 984183653, 51104147, 393013678, 902940549, 674031514, 599027441, 750508791, 363746870, 925920449, 247735641, 426063428, 898000847, 829983881, 562285827, 783447218, 64299320, 288735473, 461458924, 883758583, 617924646, 695380609, 426529013, 780856479, 540668202, 304055968, 433442878, 712210496, 560521401, 820321122, 481086660, 201463147, 373752564, 884526811, 626075310, 19089338, 948867750, 426303328, 230835011, 763132673, 692611124, 785798525, 705531397, 529357762, 564879972, 638215764, 151733868, 510779198, 315740785, 924116968, 587219043, 79446640, 213890462, 231617374, 964891684, 889791689, 668640466, 88550267, 47048711, 443436133, 62733678, 684990526, 289513450, 724123189, 433652105, 226738259, 831821741, 647409553, 998982203, 873852795, 242194410, 688438769, 869360118, 484237129, 155625306, 405586887, 207615877, 498835533, 898959378, 578215941, 230344009, 637230669, 746545734, 857648034, 112222274, 272179815, 547745844, 883604447, 621742824, 54555314, 455834807, 186728529, 136949635, 509063068, 58899286, 111694648, 486509872, 280536314, 888338957, 564037031, 194273036, 770959681, 767353351, 580785982, 289136155, 351758724, 319853571, 892756894, 23988993, 867831183, 953150149, 22164904, 264858929, 203518089, 590008073, 335875412, 282954212, 108700567, 211439667, 794484573, 576085612, 144725404, 519497181, 504422927, 591893887, 3425973, 57504124, 358897482, 903470466, 708298948, 143835130, 282858492, 194083521, 959758225, 960257393, 679072579, 631313489, 999537349, 543878193, 101215271, 331641824, 148813252, 504390411, 593966374, 130352330, 752807454, 647101776, 820029754, 596217715, 983282518, 227345236, 371080203, 39045450, 577253641, 867539365, 551223588, 744180110, 887942973, 778989696, 658344192, 671216812, 101931662, 980573371, 864688771, 332148935, 493406879, 912643998, 110067830, 471796640, 841582894, 886229398, 574154832, 197682510, 212953097, 763492600, 766751726, 840345676, 720958612, 643531644, 637509544, 529331794, 899771987, 840641903, 153724109, 78385266, 839140131, 610645360, 164629148, 642749208, 4421027, 69807590, 23360852, 7020035, 877177343, 108416780, 143386496, 758121575, 881384844, 808508244, 275046481, 422103057, 917292140, 567288480, 267152205, 786655659, 186847654, 665848783, 120604507, 704446652, 909240930, 766275756, 923307169, 710809031, 502746171, 977398420, 417918142, 248303999, 371910201, 732799234, 168416168, 875418307, 582348645, 361637032, 545559979, 401642261, 534123380, 263497778, 521433608, 224845182, 340703130, 907360572, 96185174, 559034378, 584161819, 634989208, 977895406, 163334175, 32301740, 166986686, 766896875, 277741173, 561001873, 943679277, 200736151, 264145803, 747836643, 792980288, 546009057, 499732409, 40715069, 50695203, 565799502, 828652882, 506868534, 233381541, 384550692, 993152294, 795961362, 337284145, 666587260, 289816126, 865918503, 184638132, 576476971, 855766564, 588908155, 396128143, 502396401, 827906009, 904161006, 382384696, 861715844, 132742897, 28024347, 514334491, 614845196, 181999113, 212267557, 208005134, 217249677, 962224102, 772558263, 455268895, 579124267, 148065825, 77777428, 765597927, 919213579, 473532652, 703363566, 745429475, 725888791, 130863808, 76317777, 8437889, 686004386, 337404769, 126267359, 358003748, 400393510, 213467185, 256601769, 841775526, 26665688, 398269704, 120445415, 871095602, 313473180, 735577060, 814897881, 575936677, 901658947, 666598941, 855209966, 938541398, 641652983, 558279227, 68416213, 669858067, 774856151, 559025074, 386415435, 238206531, 51581719, 979897606, 970094486, 349945294, 127827951, 682965401, 332498847, 875467006, 485962539, 290592472, 73213353, 30420750, 30994305, 84277410, 245847874, 350635120, 216732562, 425032605, 910795465, 528276986, 23436768, 465001414, 490505886, 237810766, 479041335, 838368902, 102583395, 323441246, 891864073, 683806601, 136608862, 187436937, 382450689, 94924978, 362251654, 969652987, 401558242, 148807841, 381861825, 684119775, 168347410, 862425263, 394537128, 129602549, 197847870, 978137206, 83817114, 453898620, 955855594, 905276256, 913200900, 589482767, 213136797, 126106883, 564645837, 994350457, 512970598, 237933079, 401004099, 682008451, 769178203, 337849359, 921681489, 417898096, 323839044, 623823174, 85723008, 634068222, 153318662, 136744616, 534625271, 923798641, 342620643, 569799860, 135289623, 281933255, 138921049, 984712248, 904251677, 468017258, 104435268, 54467199, 596535401, 855806457, 948255271, 453634040, 767376716, 864304711, 20895929, 249203434, 825573596, 554395363, 42363227, 742590674, 359287752, 301161333, 812112098, 456346329, 267269692, 782975027, 593850297, 774286012, 223156356, 219999678, 636023742, 954353006, 264700885, 74592620, 9306340, 978875130, 607013509, 572794344, 737590354, 840018898, 345948514, 789047865, 590810027, 522150694, 751470921, 514333725, 282410251, 209692242, 145746425, 21696467, 366057517, 616715532, 10417841, 914078277, 895144716, 276778205, 610426832, 211457085, 810541046, 204825452, 268969612, 492814793, 481710984, 486257420, 293018120, 635094922, 850147771, 616242522, 199004439, 606207999, 987778471, 102343084, 288918600, 705064550, 617382795, 645185193, 644183054, 279972916, 319226118, 560948983, 942375225, 147172918, 172981200, 839474244, 893903042, 72761109, 982514472, 416665095, 743892418, 206139727, 804809438, 263497802, 343237104, 179378397, 486746157, 839942908, 275217159, 532092094, 353897692, 848255469, 385506512, 301839227, 640979296, 446511670, 459279365, 868955420, 815026528, 993110298, 667834189, 125797590, 973267361, 591835244, 144406088, 639364945, 494750170, 222999574, 923995566, 286716235, 662902511, 269082009, 69968867, 364116727, 702367426, 669263622, 598757742, 176660374, 115892541, 527588488, 266123971, 691785196, 509634063, 951518663, 170071456, 975194410, 50622651, 411512883, 59670512, 367652545, 460068608, 217584506, 736213512, 548359003, 826829117, 411004938, 614944882, 913024192, 284329730, 595368049, 429886751, 729973594, 32152604, 796303530, 924245042, 126752684, 7576568, 618616671, 427149452, 944720644, 869613289, 993652463, 756624274, 335458295, 917416480, 22087514, 639889384, 191755521, 407910528, 657353823, 913130230, 114044139, 750872955, 330146788, 645420827, 460095164, 867425183, 536744238, 905903550, 53026344, 678730915, 345580173, 752823115, 948346113, 858452647, 768253890, 975913750, 806033642, 517887012, 253572862, 733835084, 479393634, 856753266, 86549889, 145988337, 124512547, 869625834, 625218842, 184703371, 868299878, 12127038, 980280681, 142925750, 198201609, 702181022, 887150684, 900888333, 687973213, 107868854, 423695358, 162376663, 128647083, 893492704, 127624858, 2237705, 534380460, 624884813, 283406942, 256226786, 907060801, 418055396, 399633442, 784165780, 749779977, 418559083, 299348072, 107750855, 265471494, 379201738, 249284609, 637562724, 88886506, 502024313, 943292346, 651542483, 373803631, 932440516, 652257982, 268479754, 958516031, 447813301, 753396471, 821791096, 686529212, 776584730, 30838080, 252875776, 114630461, 993470059, 104045743, 245573819, 621700203, 100000597, 35405656, 463482677, 754876259, 738876608, 99301486, 426620328, 196980577, 298423183, 484982255, 840507404, 390064205, 7516910, 810682321, 279064637, 220520230, 452273319, 76657611, 885431741, 990023977, 645344195, 633702472, 336463253, 441053010, 467175097, 880764478, 778467388, 510579257, 381848780, 651388414, 360255611, 524323964, 420676763, 261321206, 147830082, 464845052, 382651053, 599404904, 528131057, 997545268, 107825578, 946379193, 721486320, 95698601, 545426131, 703343450, 501727882, 948923279, 40889905, 454114101, 423876743, 907342258, 855496298, 131051661, 224213928, 298280693, 271473571, 787717550, 238303505, 771113048, 558740694, 886495008, 876193924, 730651202, 328057486, 2570045, 230239227, 472616878, 903704852, 316239340, 549306609, 825012922, 179050315, 379029791, 226700157, 688619762, 682127999, 435172760, 295337115, 299740176, 33091827, 231368819, 737662927, 176981076, 518578681, 629760355, 383403231, 921001854, 122745255, 350841562, 783406485, 65044239, 229063536, 116669357, 474162451, 993863307, 10591769, 228725271, 252229427, 811243155, 248023718, 43476370, 366293819, 224912789, 496739875, 119836100, 716808823, 86750966, 591768774, 750654567, 827798010, 594618620, 139543045, 285111750, 993944687, 871777310, 529263520, 2491444, 350737731, 410145280, 366086615, 331584697, 255829950, 563047200, 281712479, 99878733, 788877707, 499602114, 394042971, 314369216, 495280652, 611555499, 41598963, 639588275, 683531562, 914633713, 939063768, 883301847, 270171361, 742300925, 828725969, 675676351, 896288257, 599029718, 92310751, 190625661, 741571778, 536075373, 350286997, 438083707, 751720509, 176981295, 838155610, 101136691, 676811360, 557080919, 233661205, 267771228, 66159654, 960114060, 408258012, 344602266, 405975422, 853679131, 505189221, 595828048, 602373072, 865814659, 824318709, 993512594, 198841049, 588764895, 242390758, 917728097, 191728159, 228072236, 818047093, 911125829, 707988218, 855232458, 257103194, 409433506, 737016235, 657751438, 158388726, 565286151, 336872084, 578728743, 363890951, 196555643, 213470895, 129687054, 376524078, 192754732, 309027010, 245996320, 942849248, 663685761, 958781227, 891860935, 230654850, 681472496, 290676036, 183914244, 515324247, 782387978, 133752198, 251748198, 575626797, 4744706, 981225537, 492109551, 472034976, 276080935, 798196651, 184202960, 734028736, 165849428, 668204662, 406669073, 958889704, 447856431, 687151444, 301833304, 22293577, 416462780, 611246981, 484354792, 380016147, 734627360, 912126177, 608825541, 799283595, 202746384, 679174304, 75122989, 727078983, 530207873, 853087953, 733467992, 580437748, 241683407, 24436740, 195380892, 64726197, 959669596, 203532967, 372751273, 190414363, 371421388, 819483556, 949681580, 644798924, 489058664, 195157903, 621337400, 22943410, 623248722, 335274653, 531735764, 843565416, 458375156, 214713216, 660247216, 990050864, 547012690, 495265582, 415733524, 172230384, 381253795, 913916854, 25046539, 564656670, 339507523, 666849790, 932093525, 580500555, 398583249, 507285244, 40213039, 896521978, 679784543, 610415588, 360346220, 963596874, 764341214, 166507994, 583381648, 913451685, 910228806, 70016110, 146181806, 656561171, 877490613, 470785767, 240757135, 351003919, 933492685, 129973319, 612760171, 685945234, 936316955, 157209987, 167322790, 475270432, 661852068, 40760522, 321160632, 490220187, 654616977, 780974074, 990358749, 633694834, 833875007, 821462137, 226792602, 33270772, 975024790, 914839843, 172085404, 505012305, 669314513, 441268005, 269149629, 25437352, 388918471, 725035515, 595547836, 712909482, 327248841, 324084760, 732018024, 779231850, 422202330, 839776314, 313238497, 945856090, 191419340, 714748912, 330975748, 376824936, 943856371, 55301267, 78130381, 742146555, 940377222, 728085421, 241170881, 996278675, 64033377, 126502693, 378094133, 4191570, 785515694, 329574009, 296919026, 368902403, 643790918, 34741782, 919236768, 145945153, 660958952, 469759148, 970699236, 193173827, 481858074, 842124486, 70196283, 928025070, 481406598, 567181290, 539415305, 100992833, 428202222, 541855117, 763076202, 15918991, 605057282, 99973347, 508169594, 91993775, 59313774, 810641134, 93397806, 663675399, 695801249, 501086788, 874329454, 552686942, 392797584, 43819161, 712866330, 64460756, 931774556, 23909248, 246079665, 666648074, 886365491, 287020519, 595845193, 208120248, 746526051, 727757584, 425410708, 128954719, 469320168, 958471650, 201012359, 820967521, 729957117, 142035133, 312001085, 348573255, 780642124, 699136244, 477438, 91016521, 533043217, 861272074, 429765267, 140984885, 846583794, 29263049, 672757588, 677799486, 348995735, 365953335, 992684125, 205460549, 672660935, 869693663, 48706690, 807798182, 713409265, 220670137, 963434275, 165584667, 179727103, 876165411, 631444513, 217173822, 174068266, 812025033, 966664255, 646825441, 502779315, 630642929, 323480221, 163263983, 227741391, 810848055, 995202920, 446789761, 455292839, 554944695, 573330805, 272458145, 278413775, 403991316, 229026251, 578854845, 261859311, 168782187, 367565029, 239488473, 772902537, 946032907, 881297287, 532867217, 979536, 495996350, 170441496, 369662252, 683323261, 605505351, 846048365, 681988554, 201363734, 553837201, 374503957, 497047332, 555162585, 447118438, 93983070, 742345346, 416909861, 13186265, 655924110, 559490987, 847530705, 986558911, 477360381, 877531297, 998011222, 101997728, 674850970, 648571724, 259556387, 662460750, 86215258, 267201454, 659290731, 196065039, 713635003, 576493323, 56255900, 722184793, 539578902, 712457532, 325252535, 727052093, 545660196, 348011169, 684527121, 365305796, 491247205, 504244792, 748991041, 865933157, 928869790, 38824884, 545969702, 238119302, 308651504, 586957397, 27003841, 354121134, 284977856, 690125034, 551936449, 196959648, 856472947, 705930283, 832274196, 516247611, 137851558, 109749826, 564029660, 536657965, 623263170, 132926658, 958615932, 77223619, 790122672, 462791798, 995851766, 809082654, 391876570, 399296975, 73170126, 564239025, 236032980, 31996854, 504862092, 653309606, 402967218, 208314652, 564014667, 381441131, 919722024, 45277253, 406524165, 126547565, 679260126, 183900673, 588836463, 192900873, 465866748, 429975321, 834400891, 2709735, 46576728, 227645947, 420641123, 578687345, 508734750, 890573014, 994353411, 791276017, 841177987, 973663552, 731386841, 678696775, 279550220, 117518211, 65991158, 777610701, 52182721, 908898233, 939443823, 97165342, 836858550, 984967036, 70138757, 154158881, 367194647, 670377646, 742957068, 711806840, 378483531, 138259937, 249400102, 916979392, 284658703, 150219237, 178124802, 308605545, 558079398, 775294834, 471978839, 717383227, 690660851, 328198071, 65588488, 174063478, 617930904, 297507530, 748311724, 340268090, 982678211, 974493045, 670825499, 742975792, 267949660, 728312619, 285184117, 955587905, 613859533, 392613559, 690436128, 206482246, 2620614, 266996771, 439780760, 814225429, 236102582, 563020650, 583993674, 417117914, 539876842, 287465989, 312956006, 191898225, 682347642, 186348032, 738100573, 74250351, 310962675, 278173500, 26277619, 562593629, 98906068, 18524546, 461440557, 808930329, 652659940, 446502945, 977922529, 626190905, 307175651, 410927850, 638141659, 546777600, 568938130, 869950638, 984583110, 862123711, 366962939, 323418150, 891823892, 886174797, 72681806, 754973795, 857640166, 977371435, 666589443, 982351207, 611142023, 430424743, 898117185, 109834790, 505344709, 665584980, 142915231, 437938791, 351735644, 359568051, 423774480, 6993992, 573096669, 119084755, 321679538, 578402076, 859483582, 734392267, 553355427, 729622436, 698468334, 702995230, 249375369, 629324803, 975130992, 700810792, 763506525, 366135890, 283501465, 966224214, 786096919, 706201229, 142799901, 130011144, 785029656, 365861145, 191448398, 114212590, 56662468, 732047856, 879855790, 991391731, 446775589, 728363071, 672806603, 311922830, 116797573, 945798072, 209626938, 5768610, 195712452, 674470566, 287479903, 448418710, 689257371, 286618423, 349748598, 204060902, 800285695, 116176169, 745279582, 429016182, 577449011, 788569180, 350074207, 356785891, 788567881, 785667052, 43542200, 480488796, 249669200, 105136237, 544600816, 868520580, 395588414, 854839876, 756539574, 228655548, 513009979, 213197658, 505255834, 416624999, 139920008, 809601338, 299175112, 79071848, 242175475, 98353076, 559975524, 286423143, 261250023, 732019233, 498978537, 61547648, 907239492, 985299253, 823428249, 888020510, 840354925, 152693989, 731183523, 151394998, 588927556, 396673454, 952504161, 266679048, 716063050, 980866322, 285869290, 898620073, 783572920, 742510239, 979277325, 117279074, 996939203, 14083716, 88780471, 508373183, 86949684, 700714485, 352219233, 676018866, 362905907, 693996701, 352509690, 873693881, 453350373, 662600963, 201915154, 750259490, 980342462, 373432001, 755221048, 494867575, 294395799, 459872352, 110887653, 325028922, 930857073, 359537548, 248488991, 122788110, 897009353, 434597644, 953240577, 58968576, 60702228, 851818058, 539430818, 878625361, 930836394, 907127584, 256582084, 239390735, 713797461, 494598528, 389254308, 512434124, 953770806, 463683548, 727290855, 543846469, 241562910, 919747212, 107438618, 571297294, 608177854, 968187599, 449800925, 665613826, 589680529, 298816103, 941600680, 415710728, 844773557, 959409068, 944495499, 751928206, 662509163, 521705053, 995173179, 681505678, 130104027, 307499614, 378472544, 32294738, 809755369, 663014837, 81569241, 710249283, 366459629, 499871569, 438015740, 470492309, 225828636, 379015622, 632696719, 980342250, 739693138, 708635066, 671824092, 114670939, 622178303, 895705227, 458574527, 330284024, 976947197, 282346755, 576486025, 733893824, 479488271, 750441276, 354967133, 479628779, 634488686, 350267066, 458881962, 871220161, 241438735, 201711325, 553259521, 444702021, 88967059, 998693553, 984089323, 2196082, 543723663, 309150785, 2353438, 629405631, 436342925, 172369131, 880907432, 86310585, 415632227, 602139888, 576047200, 717026936, 410764830, 48591011, 865639470, 996484319, 593871761, 398468117, 50323804, 730540055, 234745603, 366990334, 853383922, 974742216, 973715461, 731593811, 595674323, 841240410, 682458803, 5757778, 810488681, 872549731, 942352187, 830163596, 399478896, 903417258, 514208885, 208262328, 835452910, 609724829, 494419568, 520695658, 523006950, 421557985, 3408411, 997528956, 550194624, 550538727, 535818264, 345670751, 599021791, 776593644, 815173283, 247520310, 259026791, 311633640, 330543047, 661493524, 550886001, 411938486, 766744312, 521584070, 191096199, 38646782, 640211525, 425406649, 475772529, 670564288, 907022792, 586948435, 764530211, 611912551, 550173782, 517979912, 249187556, 832355672, 75616042, 210491707, 813634873, 547394444, 443297623, 171233823, 228661702, 322483718, 700021223, 733981902, 651338624, 809493543, 495330623, 895103305, 792339232, 306252492, 203743619, 223791521, 116693115, 688511101, 253276052, 900489452, 913468638, 556535228, 38654450, 920169815, 21788919, 123487147, 124179193, 222191687, 145123324, 610956837, 667242639, 697111122, 563760344, 434402659, 824722482, 680509999, 264924943, 502913921, 919064881, 709463169, 256884751, 211518584, 989183593, 521385454, 707715061, 670749785, 91872963, 143322797, 927703853, 899507049, 827790030, 83792448, 972104162, 695747902, 198523373, 924219287, 632098427, 40757580, 204757488, 394419839, 455592909, 235333867, 745367605, 313432794, 523351936, 571028926, 851971622, 614496757, 129787308, 745112371, 421223810, 27446543, 21095463, 439276451, 734947102, 764914472, 64747070, 854136989, 690339956, 225951037, 369199024, 448873668, 267879444, 447071520, 821744179, 165275340, 813415062, 772804483, 5227586, 530169227, 854714613, 743463581, 975874812, 422871006, 854502880, 414854057, 182753053, 657563610, 490162999, 238122548, 397811025, 793960043, 122235356, 623073368, 983167676, 528984150, 633538105, 854175143, 454729868, 264868915, 4375797, 993821853, 453058829, 9436851, 389506336, 469846589, 796141975, 542821368, 104647249, 930981232, 414137352, 474144351, 391860917, 503239395, 272997793, 193338040, 990700505, 375891901, 868378629, 714315000, 89377794, 449022140, 39438317, 171932157, 86116760, 57378687, 674872945, 615276647, 88337957, 434060219, 265525110, 203337212, 877188509, 95593111, 852900655, 717776318, 506758561, 96292486, 513925164, 79954572, 17435480, 302790908, 420676157, 727025575, 718572357, 814078464, 193864572, 796589471, 829232287, 949336040, 763191626, 994169608, 269131065, 825452840, 259068533, 125204722, 841639260, 798291037, 214532581, 306755060, 972946714, 103592665, 617498881, 205565624, 726131269, 611716978, 9908003, 671979434, 940255467, 831022437, 491103300, 405668323, 614557748, 535259389, 267088197, 135997389, 294807808, 911556171, 716437957, 723287091, 813763811, 783871301, 985929547, 86431282, 407667013, 309598471, 535655018, 998696279, 677516788, 86412633, 718242642, 648956616, 830734788, 305468674, 785943318, 431737830, 929726756, 370758765, 948519211, 257523447, 897742480, 735698453, 54401372, 230735906, 795043980, 635849568, 885424138, 621817590, 658591835, 730264365, 376335618, 997452980, 235811547, 744482495, 224747405, 935756955, 982542740, 699860373, 416695423, 752691684, 720636791, 17025305, 373866957, 174439826, 746076422, 807181786, 695731204, 896872757, 778938406, 961789521, 69140209, 585670038, 475503463, 380564224, 585295563, 614444859, 492106303, 465035896, 445904533, 835684364, 117700841, 985113074, 97442240, 326847007, 725039148, 514482924, 943910638, 642582534, 364774420, 473476901, 771824487, 993216107, 733743530, 531470278, 571683060, 476051, 707964069, 708029636, 317577679, 468158315, 473957215, 767715952, 444101521, 87537510, 464962888, 416350081, 235671748, 695121555, 625112370, 824347886, 469820091, 497764470, 637031443, 629072540, 992920548, 547909690, 10782108, 794575803, 231287, 256962173, 917544625, 54879488, 701285661, 29350406, 433187397, 763210288, 510149798, 498583653, 141155812, 720012362, 739937423, 773864652, 573681993, 210500820, 995209655, 43412268, 208884427, 917162266, 263232678, 488850566, 427391588, 650055032, 370164676, 380899450, 240592764, 910240925, 709752833, 621792125, 778855536, 234031021, 240508731, 323940816, 414796438, 65843698, 227114791, 583088891, 199075308, 685015930, 686712085, 536039962, 48701637, 361605621, 558437926, 130365224, 121762225, 774769624, 410311880, 721359198, 261792111, 172261091, 887795727, 80687394, 680032297, 869433027, 517003940, 25433039, 963733788, 339403024, 536227301, 132537853, 56084814, 680471027, 163928038, 780987820, 230101565, 265831799, 126938640, 918554597, 375873685, 336811134, 964811460, 302908245, 560589002, 604055045, 898696763, 200036107, 56136011, 470734372, 865668659, 564738820, 504802020, 77751325, 370244401, 185802644, 925137150, 496273174, 334204340, 589534977, 522639216, 948428701, 768640705, 666697517, 287705712, 802736422, 479554858, 845000004, 799824148, 890125962, 56613276, 626874928, 660690575, 769462754, 70099616, 762432946, 304883234, 608418823, 965250305, 447949549, 762309667, 695239023, 33920728, 694568134, 575588407, 776043836, 473272175, 289382335, 744372935, 977407648, 5331039, 288598506, 389860326, 144157730, 502046253, 826924135, 209185612, 409961868, 247668444, 416836405, 143239890, 377223100, 976238221, 512440799, 269317657, 931905727, 881213675, 257822543, 390620826, 37711447, 727061263, 814988182, 752456680, 952513839, 781134859, 679988678, 544801982, 467679725, 10450910, 161368981, 161158948, 997728427, 80250860, 52242250, 707170604, 873451463, 227040098, 165113561, 39650424, 624013375, 505376612, 800939454, 331512414, 415083187, 435892221, 804319571, 140688147, 97851790, 674174857, 204441952, 596721432, 121626708, 845335523, 266043300, 322505140, 797688936, 530171527, 347931309, 701738989, 871396679, 729473107, 818164527, 414670751, 245014425, 975370383, 974501964, 27477043, 500690703, 474535691, 850193906, 496262457, 695075273, 416267934, 827383869, 803876016, 119570852, 861510533, 453154996, 690513402, 953424922, 593636770, 721168964, 750297687, 228794986, 149752265, 43368340, 825023060, 323961513, 432105601, 479123449, 198116309, 218402681, 128520172, 884216952, 621058075, 973740470, 354837723, 683472262, 99151343, 804090810, 457629216, 663545677, 882057950, 969721694, 320843575, 585411388, 786724462, 351629138, 897168731, 493539220, 816396830, 103295747, 651285225, 91089876, 795680752, 459272204, 892204209, 877252659, 826507874, 419362286, 188968017, 118784883, 176516028, 678011040, 276677040, 870539807, 482840040, 990270004, 752816067, 802160979, 135178570, 333802329, 449781736, 290019685, 171126469, 938728077, 124670465, 418932373, 556390092, 541543377, 8204290, 223599774, 749873119, 905516793, 35719400, 158934990, 484930073, 697058658, 772778437, 164968256, 658267690, 729910246, 228304482, 835349781, 400597692, 281351965, 807018919, 738122301, 643477517, 634529477, 763925981, 212157821, 898541806, 781120768, 564006034, 873469006, 858566692, 510375335, 225462503, 647503365, 35402883, 24716157, 680657624, 240330024, 746317037, 914891666, 384424261, 460986408, 500316853, 946878195, 382249517, 705306822, 250920338, 927193777, 209290844, 78825192, 891114726, 742395451, 983933898, 760333521, 978898144, 287615950, 162341312, 724944653, 811962180, 931416852, 663989360, 388392021, 700748987, 923049972, 353508653, 947744661, 865717590, 995726424, 705994787, 509640325, 742014720, 176979020, 702663052, 646953828, 934421844, 858924257, 921542225, 704181499, 860927023, 442211208, 269365935, 762683156, 31810584, 989884308, 11100100, 605472453, 89037218, 571118577, 963277245, 769304150, 686507649, 152749043, 56866519, 223556433, 749093058, 560899966, 11469584, 165586246, 729358103, 262808700, 707720124, 106236621, 648427514, 162073959, 398656321, 259956930, 158002630, 322287211, 236280751, 490439653, 371129259, 101251953, 628228031, 978238871, 555096369, 35837634, 317839285, 856870051, 327334294, 334741849, 720563367, 470025981, 758508281, 593834474, 647484995, 254164452, 62289410, 541131473, 339658139, 162205893, 523684040, 850064213, 132754624, 749875625, 84505460, 260283201, 460532559, 179508996, 442449202, 860219236, 784045965, 803484296, 931247692, 241393057, 228822586, 372812392, 677573934, 468106155, 974760044, 365486435, 786905715, 852874283, 258717844, 117209115, 671115180, 975236371, 201914411, 811892992, 887989427, 560536195, 56039962, 858805963, 392098950, 12820577, 915265706, 856412493, 26965197, 97510532, 718010526, 396295804, 504211786, 538616097, 38105185, 612499276, 520633855, 214077687, 9549865, 654818889, 616420571, 583736805, 322637902, 440773846, 747055814, 146913124, 431700325, 717588773, 412369170, 351808795, 944312579, 141700143, 36206143, 40472152, 716840329, 746189417, 74412932, 721290858, 824415292, 328225784, 91337665, 704698418, 530651811, 292563258, 686798684, 714684157, 774426984, 859920942, 835869662, 688376201, 23730017, 835816460, 247182458, 536582845, 53525241, 553389320, 264286144, 259372043, 443679490, 27099704, 316148883, 981606058, 793607503, 422380384, 257512435, 776076271, 123272474, 392219676, 588043140, 125617753, 172793746, 378931022, 385903737, 821114277, 923575058, 962633010, 571105531, 121802942, 416470703, 971290981, 305133641, 236714664, 483860846, 893548416, 457615483, 647175519, 741826036, 333408490, 280296932, 234693360, 334112301, 24058091, 865089820, 218078694, 904882290, 967803084, 329427895, 650178572, 608130245, 841351828, 782686816, 429529570, 534416567, 229829893, 794699769, 176007767, 152576974, 825809032, 97072637, 961308925, 833564124, 352161839, 851000396, 552850104, 448229614, 479359327, 97869155, 620435476, 518812255, 585018719, 119815360, 627554108, 85544648, 954492534, 815423469, 541362537, 149077733, 974414840, 249697949, 776500294, 592068410, 546467561, 910678923, 753114873, 337384681, 731691615, 755430577, 60690757, 230691542, 772050228, 676972563, 505856260, 785090134, 181942040, 82114443, 663862534, 299001901, 992882665, 54586659, 178140826, 709185631, 988097299, 273811265, 126547952, 645095416, 24668415, 207488075, 817013119, 83955567, 263287218, 569295803, 716058081, 534860222, 69746086, 421657260, 503792168, 89373621, 148016033, 900784371, 614098056, 705630821, 113402784, 385385582, 579876791, 250559528, 161076647, 910223228, 719115213, 3919912, 997424720, 814281943, 62710172, 96991882, 863151307, 497860425, 334262922, 881961586, 693769531, 616336488, 287810865, 780816409, 228687481, 812351011, 992767858, 807838730, 538695310, 793823524, 338554729, 216011338, 652134904, 471871311, 414372940, 622861889, 923345300, 501147749, 940725919, 537779057, 212887114, 412778768, 756632793, 175994347, 649241450, 780043885, 887596139, 863796001, 237716004, 38729736, 462553270, 957174379, 502131657, 326399978, 174833146, 165250163, 896591360, 620847014, 731167140, 429383203, 6787335, 256521558, 493243865, 191780742, 152927102, 793312839, 436331394, 489086667, 515950143, 262555977, 330107659, 814827673, 738767606, 502845065, 671801045, 169122571, 107257269, 652604794, 542689738, 709234350, 31902059, 446858349, 882187644, 758856227, 772819170, 734889598, 352117000, 496855615, 919114168, 635745610, 513982063, 951068494, 624401050, 924124709, 736724565, 116198352, 8332488, 795508857, 110681593, 654328934, 201785065, 695604459, 616048785, 67309293, 492005846, 785029931, 961327600, 880453948, 513586674, 524850340, 772719618, 514304134, 93026085, 200738795, 702622361, 745261855, 671323641, 408651851, 308470334, 43979219, 842235037, 318080224, 451865391, 209312545, 158791096, 289770844, 612463323, 737518604, 963911605, 179105780, 923686476, 32804968, 266835723, 574449172, 578719220, 669052969, 841177702, 536816102, 569140336, 280721870, 828802069, 651948243, 469051267, 501200770, 914200959, 499615814, 500254680, 813066601, 46774434, 85687701, 567740856, 147795746, 178589107, 442805561, 752460453, 598246337, 637988289, 360578064, 873971959, 380680214, 337490911, 914041813, 124690344, 31987748, 912253293, 153978545, 603214873, 883576112, 686155392, 398786498, 866539043, 234140104, 158538745, 984207636, 891362001, 992947920, 459551214, 18315442, 431355083, 697413911, 851371505, 779779258, 144272964, 245183434, 819653620, 758000813, 8921792, 866219584, 952274087, 800409972, 692062245, 428884459, 98506444, 823004327, 230347214, 524100117, 225218983, 131984039, 479320721, 767142610, 321085885, 163599041, 402528796, 57492331, 248095135, 72923335, 682272952, 432444458, 854554241, 74444952, 734974817, 450068284, 379433139, 163123967, 827611110, 367964079, 357201377, 730764798, 61801537, 672644179, 736305406, 456024585, 764904286, 483153184, 234934053, 55818669, 691244224, 636023595, 962617588, 488942208, 577079197, 752689760, 428671735, 627315526, 981128554, 528622383, 939197095, 962129251, 834950167, 538748935, 686574780, 321203321, 428026239, 577921157, 571898441, 889898101, 325204072, 303447551, 807368718, 665985493, 436436035, 234379799, 393222585, 56202395, 479425102, 465236842, 421644358, 130492330, 111741438, 758988826, 21315571, 571856039, 236706686, 248150079, 31110053, 895924324, 15764188, 191577375, 861082101, 683042771, 134340038, 948227566, 20070041, 9751090, 789604707, 509596460, 634263289, 989780649, 922525198, 452878473, 886821449, 849966619, 301619555, 859364283, 81167872, 789332238, 122641525, 547930179, 901693933, 862514663, 457758807, 343780022, 501579629, 656727348, 708259873, 454792264, 123941919, 198761739, 463539732, 61983681, 215649733, 992242081, 491443608, 583710074, 433190426, 819370258, 181269352, 780378772, 121911957, 55707045, 308461175, 373949681, 831542653, 616426080, 119072505, 708550339, 300325927, 772155518, 486710093, 992192024, 172094261, 210685904, 888242342, 912377700, 589493347, 807902220, 291103120, 374943429, 816015718, 738907302, 843651702, 337936480, 966765425, 77449966, 38983873, 752442018, 888825441, 163485539, 761682926, 864920086, 423662739, 973124887, 648445557, 305449171, 423491190, 157489521, 834061284, 497657556, 355434334, 375943218, 627538845, 518334294, 427105961, 921611121, 774863588, 440215404, 198660947, 705472766, 991861230, 495514340, 911370784, 773452479, 30191424, 650422204, 591787583, 932817216, 752841739, 680641748, 997847709, 507743680, 978075543, 583909774, 546363885, 956094664, 743517472, 123244325, 445458828, 690256309, 398168103, 653818830, 625034022, 432688665, 629434910, 696146596, 115074792, 77551548, 679971598, 639625406, 539134630, 940604197, 273690225, 864986192, 34213169, 10457095, 70578358, 566059734, 1371043, 999924459, 5149359, 671211944, 350827757, 526981555, 661164685, 605352555, 776646726, 554713430, 920517117, 4906521, 389271691, 615750421, 366786377, 141618455, 822206001, 661808742, 511941338, 669785835, 367003641, 85958278, 312401096, 79456847, 577784243, 613327322, 571598360, 539245617, 960722455, 375430280, 526408312, 70926663, 460373513, 17925696, 717382555, 477232927, 892271380, 80898260, 7318851, 529647426, 374684283, 124261404, 322409456, 624210295, 265112194, 17146382, 737495398, 781617658, 497099164, 41268960, 916259041, 220143208, 454129722, 583960434, 561385947, 594668603, 577005424, 47836859, 103519616, 977909615, 194013404, 786803489, 51032123, 343266314, 107857444, 628022959, 460303915, 778864053, 220582857, 834620328, 608525431, 702543962, 790895062, 184063911, 779908696, 825508497, 388401298, 340240674, 886364293, 184414538, 584374505, 16562840, 744239604, 59187971, 853465800, 98842444, 546640798, 243645322, 638989413, 100120518, 211196336, 873741776, 510663686, 552600170, 819056339, 143639047, 210606399, 114265437, 367977345, 701933372, 9522319, 286237086, 89504494, 813490538, 127146057, 135468562, 291227955, 495861144, 964522583, 136885682, 205099244, 263602054, 715539655, 69622335, 121823849, 430507719, 69750973, 175474521, 653881505, 118595907, 80160610, 727531010, 173830772, 512515109, 735194785, 201962104, 488610872, 455110659, 46959178, 539070510, 162636644, 67734521, 893342326, 218426520, 700368295, 11423297, 819425929, 338535617, 241642543, 55922363, 799102932, 357174287, 182491442, 121331269, 307710024, 679195960, 316841401, 861991314, 476629763, 490834143, 159201457, 425007053, 531336771, 267235910, 827865007, 42752184, 15841527, 649279735, 235272327, 31014410, 596249541, 117664923, 158797155, 399089854, 333712019, 173814491, 400756514, 800173176, 671319888, 998672800, 350271213, 904957288, 22618984, 850890160, 601224760, 992234271, 637856302, 34617487, 429948363, 49538064, 430639569, 352137963, 158285205, 696943699, 287518211, 332097205, 652647943, 841772354, 145923343, 145886989, 188091813, 275869909, 61966782, 428675836, 161392015, 454150189, 536921162, 257531030, 733915211, 694608416, 583367028, 609359144, 349448495, 307482580, 952694825, 980353597, 857822453, 533018112, 407279129, 325449323, 479536861, 318096862, 892282319, 594688713, 157034880, 575211375, 878864761, 196323952, 529637887, 334025888, 366292751, 572275469, 975971274, 342202851, 992690959, 905946592, 638617638, 408257906, 893433470, 431337672, 121443311, 204691644, 149215049, 892866387, 499657902, 492373627, 727366084, 817413606, 299830101, 179108792, 793021020, 79484774, 990787475, 806778126, 699771690, 932517360, 396801986, 450369033, 705688179, 601764213, 543650000, 6424246, 101576956, 943742352, 469876599, 789602165, 193861204, 867914166, 855513141, 892781606, 508623681, 94734653, 240839222, 291304372, 782860714, 535793730, 316197460, 437266536, 818734523, 513125053, 341667977, 865885326, 459199730, 800469722, 73959588, 663225978, 938116519, 676396111, 771293940, 134110004, 604210211, 814611864, 809471780, 227147526, 919603684, 718877548, 600688498, 323051501, 99437760, 64384379, 2816967, 818797618, 610590379, 994648835, 573954750, 747757867, 489374354, 906949624, 497465284, 110560861, 743002268, 736660912, 864764678, 239030637, 179921161, 597075825, 648263922, 240484009, 403859859, 323376783, 111561393, 880769415, 754737241, 541693235, 729100522, 440848994, 430876097, 397697044, 986305880, 445501633, 745929129, 961822196, 463370806, 372917087, 929787278, 281491080, 260370802, 723087218, 203568982, 809192786, 127668940, 274859962, 256763793, 907418526, 948574569, 41107521, 275421123, 545480185, 115078834, 811728405, 749430864, 145513085, 516184423, 569736173, 616298152, 237442955, 535206569, 84012508, 226442680, 581787161, 223916070, 714119636, 858533616, 271167651, 4042270, 94481030, 420969509, 860656802, 664057935, 659812836, 635967870, 287614655, 518672419, 860701661, 622898608, 182056539, 606693818, 67809863, 476866592, 641506810, 661823557, 359067162, 146840437, 191874073, 827990527, 830271114, 378743967, 31191003, 914176962, 315775261, 104161347, 925789335, 224846085, 16306171, 697520623, 235541913, 755939652, 575119707, 184347245, 477066085, 539678930, 263733613, 214865263, 441131133, 452288280, 370114451, 916699212, 234272754, 500356074, 969628307, 218075558, 98545440, 643801483, 607531433, 884942838, 741633511, 986510265, 130375579, 687291472, 631810103, 897452246, 935825379, 406107678, 693379832, 889192140, 713870969, 47764934, 14203958, 264162905, 113416437, 614265384, 801578131, 689265440, 512136511, 165983016, 867516514, 758347801, 165973614, 851022298, 934841098, 971138766, 748262675, 581017148, 515614911, 964208870, 75596826, 421017618, 877419449, 554331043, 6041091, 154592380, 506155288, 307883153, 356449276, 6535630, 257739329, 907268228, 14466877, 270547852, 536213606, 723009376, 840425344, 488682197, 742223034, 800330551, 174356028, 154378213, 622316126, 979186215, 648850528, 94387444, 686133908, 625519268, 762398627, 102140889, 568059492, 620235278, 491928965, 561673559, 360605999, 671102238, 418722227, 356698361, 103779373, 306452827, 549138165, 744392295, 209157177, 128661454, 871804462, 188569664, 660533177, 892220710, 596810020, 148592411, 3754514, 316034770, 20560543, 947406831, 493843234, 193634135, 909235904, 739551763, 585249718, 570121942, 974319094, 390024808, 440707295, 832643610, 589779072, 351021387, 285065444, 622379634, 348513382, 239138979, 854608786, 610483556, 461886344, 223078013, 667060284, 472047469, 369143238, 552604544, 953227416, 753771196, 906112849, 860856274, 945392706, 33882596, 83862744, 183911492, 223443659, 266067034, 116358593, 854540787, 736104931, 654803954, 962437282, 682620320, 927570489, 974199461, 284615995, 422644873, 264036756, 527010436, 437700425, 591045885, 374999916, 271141299, 985862755, 711574926, 235092695, 473603161, 246073051, 318396464, 109556329, 252181170, 702194073, 167019192, 827598551, 214212779, 310715990, 952925589, 4726638, 777323627, 548721054, 43937952, 77555877, 23197176, 702509849, 935704911, 41291480, 831748971, 782607941, 363771820, 42493086, 625937011, 757646463, 762987903, 760712817, 250714150, 807968145, 115306189, 654191463, 959235605, 835903789, 167983154, 226372221, 776566089, 354926907, 754460873, 861983428, 77609207, 498433013, 707799890, 594776649, 196556894, 987641522, 497048638, 210299664, 93306080, 387825204, 774785188, 13418717, 530053934, 390953369, 803341086, 652325163, 573077275, 858592443, 563662292, 714630726, 358240954, 535799588, 304481571, 8732306, 868825292, 24184804, 412359413, 934807688, 49450658, 607917679, 462915075, 254876942, 250798488, 321722147, 186292808, 541309452, 35174061, 580684064, 137540335, 325902144, 226778756, 16721881, 520790500, 366570474, 165305178, 612482620, 708345890, 616876972, 486274357, 547241994, 908001151, 331138316, 13070885, 834276235, 223425171, 302712516, 453124853, 425023397, 53772428, 687347885, 759698297, 368039765, 490631626, 864069432, 129160314, 435820388, 680426001, 622918434, 990189451, 514735834, 113433424, 776776197, 554903177, 606811700, 867504111, 578030693, 92234641, 876331154, 495618046, 836099579, 315390596, 814136318, 790979410, 367734233, 994349320, 155931726, 903915483, 915789794, 205187950, 408251066, 726357912, 986553652, 515194521, 328982210, 493238257, 966842950, 421201798, 343360246, 260868800, 861467931, 312550200, 566115317, 834519283, 982818460, 109175736, 931484992, 432447058, 787785257, 523430882, 754624921, 784910829, 603112137, 60091164, 24409092, 703374552, 387038681, 308924099, 995827343, 591667389, 624067836, 224403288, 461352397, 780121764, 571664199, 522426972, 718727579, 992251904, 927417935, 966468934, 35630164, 258145432, 687593880, 304267413, 476720395, 153727916, 614385079, 443500497, 195328563, 329908235, 575507858, 87306548, 69191111, 545785910, 719427743, 332659180, 104143172, 574185106, 432521543, 589289201, 346983013, 784975650, 977306953, 443647197, 736488970, 974196347, 621910393, 130505118, 457386687, 687845733, 960403839, 77941373, 539698579, 323557067, 607955778, 249405900, 847661386, 326846794, 675203421, 277577077, 105821950, 940639460, 185238887, 66943731, 468697164, 333982789, 357991571, 279395721, 965577713, 863569882, 668170092, 146540123, 775683723, 261651818, 20611132, 253479262, 792044647, 398394586, 637607110, 410155958, 890945808, 93808620, 669595703, 919245819, 821748594, 869992923, 225316481, 588237284, 302330692, 946466054, 908506773, 961196343, 697288631, 462521674, 609673323, 220027142, 429813288, 840038150, 29758874, 114003843, 294463447, 332158085, 241487655, 399090795, 641749459, 877165514, 322692024, 126384978, 473276434, 502013960, 830279367, 38957221, 477371946, 20295403, 933906472, 334353108, 515106110, 923794122, 804926653, 461569158, 665335539, 420492641, 350938721, 220783853, 188580028, 625009536, 749331299, 993307251, 321867145, 69596272, 609159675, 394950955, 858715040, 504439218, 369839699, 941284073, 726653957, 414147939, 655042450, 917439904, 34384972, 558078996, 902018355, 775816731, 64726439, 500430057, 402929644, 875959932, 449006196, 240688443, 175432462, 509477193, 871742037, 229789411, 382693190, 960082944, 725361449, 319776621, 120980614, 287310194, 5067101, 171372585, 435177443, 489600474, 297969797, 135540691, 14030012, 405565478, 93787511, 99780297, 872278009, 402995159, 152532224, 145155208, 526740197, 167435871, 482467931, 742641150, 721448707, 677934740, 88238242, 73143776, 244303828, 794853395, 96393106, 539154497, 109305054, 634077769, 871305437, 576705921, 506713104, 777787263, 430431946, 493222240, 645192245, 127246042, 926254644, 453695481, 21307457, 887416858, 398429320, 538076177, 635521041, 521331907, 433259290, 831083088, 951922033, 554251550, 48252836, 373431669, 524832557, 428767902, 95774561, 367580032, 372141051, 37625386, 944666805, 32695231, 278479846, 100155777, 916771938, 760775035, 323942667, 588544030, 361959722, 110859781, 868923159, 546364710, 496702882, 294948761, 219547227, 462897700, 175068209, 365621555, 539113378, 468459284, 125453188, 264188696, 875622787, 767019705, 166798383, 373436371, 272752673, 250191721, 630106440, 549612360, 756162688, 514658878, 479573915, 5396491, 89869587, 799385383, 874436356, 785617950, 399329906, 442469116, 166056671, 240417861, 353322898, 111041478, 685219987, 472330412, 691618513, 546732490, 195002352, 33917765, 519800116, 680476339, 934639627, 400741201, 831479667, 761752166, 493658492, 674279058, 483905566, 133217587, 288218124, 623703729, 731708684, 103934799, 122835630, 65492038, 897964432, 642209468, 338021613, 386119729, 366173475, 104816886, 142536619, 266892579, 449323027, 505757993, 743452223, 91876355, 979839634, 600491861, 318009491, 56098054, 82113135, 332451759, 117304766, 861934996, 700827182, 733462169, 690500226, 294953173, 670975862, 943911981, 884071098, 851114369, 693583070, 134849294, 52834516, 502528424, 16360854, 57312144, 492787651, 243163572, 968956246, 263249298, 248855234, 740573479, 705584315, 418701836, 641220684, 60461181, 464652279, 816095862, 647340092, 578741145, 207699998, 177825020, 758106985, 699679517, 62625373, 786768791, 294833528, 537288508, 997789880, 592450873, 912328263, 386647671, 68243136, 113755562, 213360128, 988906007, 476622382, 284100383, 884695656, 107202600, 334329163, 712710789, 5721133, 561593436, 542378301, 449464653, 186715120, 647975842, 542461762, 278922648, 538688717, 848479961, 681036788, 398527666, 591633135, 687239787, 324013411, 447559622, 855331527, 381498049, 383602799, 675833258, 681136174, 739723370, 126453525, 84846501, 555206920, 890066272, 784115846, 758977820, 929370292, 678550210, 585240687, 548826291, 887365968, 850275275, 553474023, 878077692, 496616841, 21238655, 685909557, 836543949, 888665160, 788623913, 468007734, 342733508, 31839138, 954653660, 938327871, 330977903, 649448930, 206160253, 519662079, 44836845, 908116069, 295036984, 560588283, 953074082, 990879843, 804721271, 853215736, 80983060, 971628893, 996197528, 930362863, 326848267, 342691997, 624403777, 806106773, 390445569, 712400125, 962320978, 710081694, 980746037, 837538283, 528510344, 980782284, 907294789, 725597885, 674971011, 345653260, 958234955, 669303985, 838529764, 596782581, 637851742, 579222382, 439099775, 743834949, 390334071, 101077838, 177166227, 541393130, 786904625, 851826866, 429447119, 850713780, 508157162, 320578422, 109901875, 121508860, 354241569, 856305224, 954337533, 284230692, 213023583, 13179175, 311374933, 112559601, 803340142, 314138992, 399646312, 344724011, 932810846, 604835087, 960375293, 229521824, 695971102, 90007805, 47305658, 125455039, 469820649, 991107498, 786327773, 765024873, 475462827, 407792961, 860316947, 892324559, 393411616, 824630196, 31754524, 656395595, 766521622, 416245172, 297815562, 324104412, 281980812, 407213547, 779421052, 14283795, 594967306, 645937215, 800921720, 490273964, 531235250, 79269340, 378372802, 947328257, 428594596, 41132142, 713447636, 775581231, 7928531, 223609212, 104565727, 403197673, 528458650, 511211356, 121526139, 786964662, 890127319, 194819022, 332307486, 623576925, 216995427, 653528663, 794988033, 47796438, 644488788, 490965901, 301907169, 776095606, 305954029, 459495336, 433332325, 699388655, 181828170, 797752440, 208403307, 453495778, 655596114, 164276342, 544366313, 34982778, 177016299, 49738626, 192627426, 273035515, 769296134, 461200357, 496733328, 63810806, 850344536, 467748672, 164181941, 324013949, 369345595, 611258717, 246810704, 628325856, 971178433, 725444070, 372962967, 754029337, 207618736, 80290824, 519918822, 405186236, 850275737, 541787476, 106022865, 288955645, 737855520, 219207265, 816541954, 371287592, 998066125, 324951154, 151192805, 977002220, 805857770, 221614870, 995695397, 400086055, 300066691, 698539252, 779524256, 512988952, 798717810, 762613069, 842891710, 645029919, 826025466, 141027697, 450887581, 348952704, 161520122, 910761108, 384655067, 9420354, 349632911, 349304030, 916601635, 480919587, 582784459, 741909039, 354493410, 175058175, 320390776, 373497865, 546197423, 617142083, 808273815, 180994996, 8607604, 349248080, 738530212, 8155403, 649892079, 696924653, 384673198, 252228719, 119650547, 109827105, 323071468, 640185016, 879407044, 820978459, 604488077, 449179491, 972979430, 627258775, 390395294, 116606663, 261660798, 231383849, 364728628, 410477331, 18694060, 469158758, 946564039, 741511748, 191759771, 592132798, 529871187, 164061384, 595663587, 432501385, 575950847, 16305304, 167027998, 604878417, 120081633, 733708714, 607373174, 800769350, 587895190, 141518143, 409001187, 39620132, 991333991, 215957156, 428457343, 456293819, 896607335, 851784297, 545943881, 812884020, 130780961, 182574199, 170497183, 105536007, 490660773, 712034024, 240427542, 993782686, 243365278, 537210527, 683211691, 368189501, 448592766, 151916025, 996552569, 710817492, 835806004, 625652629, 855011719, 298255246, 306279850, 946292279, 468253373, 452914965, 638427085, 675512764, 834150145, 446340277, 925291426, 595461975, 697639447, 243238220, 623296120, 888819540, 945419667, 233825000, 750388347, 36862168, 18705703, 53627754, 653471025, 970493302, 122915108, 998501534, 934896189, 673893159, 61538250, 841442279, 503277093, 731403634, 914712325, 823297264, 731744789, 121655016, 598579264, 812431245, 595480469, 964929748, 874349349, 788996874, 113169064, 234051904, 494185742, 499583008, 910830193, 169861842, 5580149, 542634567, 73355300, 370109623, 161667857, 68285663, 771278141, 65758020, 614440259, 104233687, 670706155, 674476265, 871217407, 650566005, 955841537, 717239892, 172644282, 692204954, 350890100, 112323735, 702656494, 384378591, 93901271, 527387036, 210734100, 128906566, 778410300, 694938569, 388708274, 553249134, 577042493, 339771264, 854016710, 350210250, 441777881, 108476529, 297734309, 869309541, 970386946, 206359008, 684112537, 179400915, 477168339, 122556433, 576136939, 456937702, 87195148, 777967308, 852461237, 870223392, 377632432, 255062797, 322801523, 306365542, 657382807, 917471015, 738576708, 882572837, 778323380, 392919571, 4388405, 923808061, 688564499, 266372053, 328668167, 495597572, 445151189, 930197370, 398529015, 343353937, 989923413, 182707922, 119648236, 757250487, 555378946, 400097672, 142584392, 306476650, 771964069, 103017667, 697641658, 961296288, 108616446, 931164431, 545453496, 642124737, 446329493, 174333618, 264739823, 574656196, 254748603, 453478944, 551543864, 539915878, 740184805, 836144113, 727003768, 778186195, 408435120, 512557828, 50209942, 150507308, 269058513, 413828428, 443753163, 491666766, 235799441, 470330580, 398251677, 792578237, 504553404, 326517186, 145779368, 138220083, 750001028, 848772409, 584350291, 455949556, 529041581, 888966409, 510123966, 939342165, 300599501, 533907386, 434199938, 77017833, 183335924, 46423154, 579885465, 726604079, 88176808, 726393388, 522092237, 851051056, 633240540, 959157815, 764321349, 816796895, 718123778, 103623410, 923590079, 986726207, 865364515, 176209932, 870874282, 285234349, 786888050, 631011037, 794644959, 127616434, 628753812, 326689512, 391861019, 266476688, 425284194, 310320054, 365276690, 832512778, 272579385, 666318960, 692666811, 417266775, 714949503, 395220865, 582555783, 371326036, 412999889, 12797336, 614400782, 782565981, 837405760, 718983537, 970964658, 688429869, 596863787, 209320805, 648082550, 309217138, 374760852, 229106283, 457991863, 252842399, 806012760, 609119203, 216298470, 117326167, 450993599, 589734678, 822872900, 603827614, 295000840, 267457644, 190590182, 358248677, 85704281, 550388924, 313708868, 706699969, 891771042, 297010434, 211756128, 602778525, 649917558, 100318827, 997444254, 73885570, 109560645, 72349071, 391291230, 954877646, 812101063, 988284561, 816904768, 239095414, 687170473, 161790494, 153751771, 95112830, 989789643, 55152966, 267610723, 664053343, 77620996, 447750226, 623593943, 580211656, 219793525, 937588256, 937376737, 80401895, 123836140, 458259436, 889825956, 323007010, 39593098, 558903168, 218190453, 544930652, 909269793, 990848500, 999266367, 444632886, 978049396, 633306405, 888852887, 609236272, 73797137, 243081456, 139790594, 825610108, 357078403, 937525163, 110544625, 1963515, 344980894, 801485139, 265605803, 633753879, 967238789, 930542141, 665477404, 668398232, 150068730, 63377946, 757423735, 92057005, 640235696, 978633583, 16695681, 633302134, 377622426, 56607636, 215789155, 631052861, 619564315, 571896996, 569130252, 519673776, 708899967, 730019005, 518960074, 680742433, 787322058, 210913412, 701705279, 188049229, 520697688, 526314212, 345205093, 478655146, 890806169, 570460223, 73732670, 763763848, 425104806, 132198947, 394860222, 897050431, 123922343, 644358393, 282836464, 6787337, 149469662, 288157611, 118742586, 895523326, 34977774, 701292443, 567767556, 60809304, 449231530, 966132706, 622079453, 671633668, 790568837, 608639355, 505790516, 328831094, 515708723, 501809651, 777746043, 573140283, 832706707, 64315717, 410263714, 231849239, 667012714, 366190683, 532685052, 217306240, 451093032, 938794055, 834915243, 629130721, 192229270, 19929555, 611932761, 706702796, 581182902, 416846235, 298848664, 314667347, 704365626, 375887438, 257613225, 700747963, 12907591, 271556007, 456061951, 188071763, 662467260, 853761008, 21843681, 570050616, 785116776, 418234884, 813457569, 704434802, 942938963, 404210160, 266064799, 552484806, 310604547, 959314780, 887747792, 597129453, 608542879, 457621515, 301503355, 851191628, 646714519, 199778537, 49232998, 821109930, 547093999, 130731574, 496002124, 867301642, 170140023, 36894773, 935433871, 131823793, 800415731, 394271547, 119337137, 169287775, 638659211, 344233677, 621556947, 373101626, 697029387, 706272561, 214209751, 553211241, 816283082, 838430850, 323618701, 378294627, 878204186, 136213631, 756437975, 10030867, 662809938, 486446805, 258163671, 145660030, 334079405, 164350938, 351198672, 578580203, 911586789, 819815658, 802811963, 780417361, 688954473, 254419384, 945543358, 466432832, 476059592, 401117953, 952034549, 438454987, 206448094, 536771538, 391289044, 421928588, 97386295, 269183665, 276872938, 57017053, 122346162, 499536838, 108035871, 850691505, 459594115, 190659327, 934867266, 895605262, 747882028, 976134913, 489432750, 19979672, 186178046, 864128916, 479308713, 997551816, 490314502, 394117105, 521735837, 80001909, 158055864, 715184076, 445594579, 255252085, 617574862, 266367410, 540237680, 365395191, 868096395, 725755899, 786798450, 607218427, 727313888, 795270437, 43666355, 738817640, 843193789, 3855641, 875892560, 906031468, 423852505, 561444116, 885366144, 637375313, 784022131, 431465216, 840470185, 757507789, 505946801, 603180842, 797577035, 75736629, 600863269, 263655567, 748263372, 372964916, 363942807, 67237114, 157615862, 940315123, 886165032, 945844114, 969227530, 435471593, 565365316, 415981165, 816953806, 482194506, 237729488, 103621657, 273332309, 991352818, 369088776, 507982743, 517232309, 169547753, 109605442, 607311939, 662451241, 981624868, 351881175, 570450143, 879322885, 191434429, 41541665, 621571000, 444948997, 303444187, 881385623, 224451741, 556549635, 834025802, 620406248, 805263951, 889882299, 200091216, 386306780, 596403745, 673086586, 248921133, 760478472, 941717602, 969905424, 615057398, 291244774, 376249779, 587751007, 228696885, 136867342, 1585020, 462165029, 372238702, 48379001, 140350376, 902763860, 415357215, 609850353, 623699740, 804637234, 955043288, 168325549, 157152206, 934241452, 424143497, 604222635, 685584701, 97652302, 213740193, 997385625, 931562678, 464315734, 234546914, 31193975, 459725342, 834772464, 768639306, 325470264, 287033120, 767025591, 466040188, 621371773, 734334004, 259378947, 249288583, 496074217, 118646336, 241353019, 759094260, 871391512, 68302390, 329651204, 715048383, 801169861, 759932159, 987372295, 753305789, 515375778, 860241269, 292411788, 843895448, 678979362, 767055237, 639906860, 500935637, 799703001, 793513813, 827504534, 487843353, 140388097, 665734430, 489336705, 247569322, 45538993, 61877557, 31209665, 746507266, 648919838, 270820409, 709657910, 78021551, 600462872, 996765182, 213074643, 78316925, 509669621, 285845025, 305080935, 21105642, 282327959, 126164052, 146090653, 418032050, 404825977, 924641878, 462149007, 952896477, 196483221, 856816748, 283929902, 1516215, 674465379, 311447677, 545918238, 34773313, 421180306, 568513514, 259678749, 882055911, 351143747, 154342584, 521080914, 52670044, 389106466, 104110431, 501093110, 749856674, 176447224, 369773443, 168451090, 633178350, 657069199, 213086681, 305442444, 828951056, 552444071, 379643992, 543306794, 871251049, 934945290, 401425740, 791802643, 543247214, 907518613, 881824060, 66811262, 834977315, 102783753, 293844698, 48882882, 878870515, 886834372, 16477939, 741586698, 731546034, 31053940, 583923068, 173528319, 900111517, 44833533, 650103216, 690231897, 659561851, 675456659, 637629373, 58601887, 866058599, 941643688, 531285078, 628962717, 665869410, 271637258, 77262218, 447477542, 296754121, 31550603, 93052729, 968483213, 354851620, 98289420, 929821755, 723659852, 952833474, 682126513, 176779339, 264779266, 109090700, 68604748, 995713649, 750063767, 6248766, 630549776, 976832508, 771049713, 59370986, 684290810, 263777676, 847595307, 218493119, 884584336, 876355911, 487038164, 10519257, 272114834, 859300593, 729451159, 148990950, 340308953, 878343722, 362321660, 15059284, 979363865, 904662327, 544974960, 447745154, 920693160, 541210131, 400601320, 947399495, 303521471, 867283266, 537761309, 886498098, 66792780, 817536556, 357545509, 569380644, 697237890, 6430988, 726195602, 948731695, 578383086, 448964404, 98252737, 883691946, 515916223, 764895435, 397406468, 315395718, 792610327, 53032961, 890807851, 248489597, 582619860, 149957178, 504937111, 533316750, 709508456, 517327713, 311307769, 806344616, 511001473, 33253134, 213444512, 443025517, 886349916, 3950242, 275960024, 542527597, 296354828, 881225963, 196368562, 994278887, 505745253, 668371597, 32740815, 910120240, 186290884, 27191639, 398305913, 306124041, 712985909, 251568607, 943345462, 188481326, 737560598, 427206500, 558073562, 656899218, 968967012, 507732437, 806275434, 907450519, 963054362, 421579730, 216167780, 984693485, 227136138, 846411434, 464971132, 909847238, 349908631, 418368278, 985353437, 835430961, 235573632, 972461489, 61586685, 830050754, 356602647, 185628894, 528850919, 801088969, 898692300, 840238087, 872767767, 358849837, 10312725, 87705803, 16089524, 405446320, 237098642, 240918170, 962640655, 838462734, 298490697, 960252475, 74576729, 30621779, 318731416, 215157369, 73601511, 818063216, 609369428, 79521655, 89005372, 992739253, 549315747, 16691200, 673049680, 463881099, 784352655, 374398365, 982973189, 881992318, 537144841, 521739144, 788863986, 887661285, 866066490, 719232945, 636585032, 906706451, 700091507, 21311601, 686995241, 346593395, 229245196, 978839166, 911116260, 403404294, 15539342, 370228000, 434493547, 415425628, 65937773, 667662900, 128306652, 279558422, 843440107, 875833241, 105488455, 933282610, 987976883, 530271319, 896763797, 577942472, 512128389, 964029019, 547308606, 157098941, 829497681, 142226110, 841368434, 654418970, 169406108, 869105036, 23985130, 445108720, 366027253, 587320508, 206040925, 951616554, 770610544, 244753842, 172909125, 278071193, 568208468, 720977332, 317730835, 269146394, 831352372, 322918854, 387151563, 828918342, 759689322, 361458956, 717057024, 675876134, 726301876, 818813598, 842922121, 331708599, 934834555, 973154188, 688558813, 961336196, 793607995, 690294627, 774947818, 190782745, 966661827, 676495895, 668374574, 508463246, 741743470, 37772701, 854095076, 278101234, 35339627, 67723500, 838619827, 65644075, 209177043, 603335759, 601935848, 317279949, 318176380, 978809745, 643181058, 806484683, 688005310, 957155977, 682916128, 247569630, 33528840, 247562713, 133155632, 680747333, 81800994, 993224915, 866792557, 732424531, 879834088, 418701096, 366030885, 154012993, 791290422, 888853771, 680110921, 671259756, 488559650, 995799391, 583285225, 178632521, 725781975, 923195949, 77191037, 483317466, 64710983, 671280045, 526390859, 801651965, 861253148, 447437216, 112453288, 970539449, 11091560, 125487665, 78865477, 382693410, 414317539, 544070053, 835539742, 745717664, 367254463, 217542497, 450494614, 423151351, 260999018, 738688913, 468744239, 506103664, 303296248, 248242068, 286516065, 792933694, 343408791, 758275986, 593709124, 441881083, 652686041, 527791535, 86577944, 932952190, 35033072, 266290707, 926946893, 911117165, 386588861, 758259811, 768318056, 352048865, 5968275, 389723645, 857594267, 309132558, 316446, 683406492, 277510544, 63254156, 922629133, 473259245, 351091031, 607419144, 197091998, 924010963, 903178968, 964246812, 193542768, 603736379, 865010601, 525899181, 217875276, 352694545, 732324655, 811195720, 111172386, 320368487, 44388975, 991572212, 807778237, 931124202, 172193611, 786015789, 612905103, 472889868, 855712339, 611821882, 299348009, 142031957, 448301128, 243836373, 59460965, 98667555, 628307562, 860322747, 437546796, 696162389, 549448007, 246607830, 666004172, 26184241, 388719153, 360658423, 556154820, 164584801, 334182397, 882561509, 802404595, 463072014, 253600193, 743281117, 179126558, 907932425, 167076885, 582863150, 706432721, 955652140, 158838067, 624284327, 230599416, 89120126, 976403968, 183357487, 840879443, 398669101, 969060745, 629586293, 712723158, 773835631, 200745077, 610618332, 126167937, 313096223, 311371036, 132363216, 395947215, 976039364, 517093952, 747561825, 335329539, 187195875, 719486860, 420967446, 523437130, 448794709, 144463656, 111356572, 343933756, 162543889, 896792388, 517355829, 551500655, 251865942, 26412644, 326631039, 861402787, 243627309, 96273480, 950959909, 200462120, 452893312, 727004645, 634833706, 957701325, 114825293, 527842570, 444165155, 678268906, 195646584, 280726673, 827205443, 438062974, 546572739, 706737172, 191322400, 529210675, 528466554, 951537572, 170064423, 161349103, 525321844, 529986008, 7652947, 200443478, 339948306, 310513595, 287611458, 736335629, 839687432, 210543828, 134541888, 249728509, 111573170, 501776232, 256295319, 5714647, 325361898, 148670655, 740372069, 639072250, 742036839, 565794056, 55932014, 237340597, 732238349, 162578468, 144190322, 232753935, 867280104, 480679794, 667361070, 869063628, 384058524, 141364108, 738825342, 167002148, 689089794, 206430067, 526807957, 771132923, 595034022, 487731342, 72226691, 845526251, 906857460, 932708275, 59366528, 861626174, 346949363, 730878568, 415923499, 135894551, 900083102, 994877044, 326528618, 258121761, 445363367, 640968303, 582160297, 113201285, 375124488, 635276384, 925402630, 476072753, 389270226, 26572881, 991240928, 190935539, 557853273, 609853699, 200278434, 99042867, 943180380, 975629659, 847302938, 128625707, 979002987, 814040054, 267518871, 696724065, 460852257, 126768962, 888949413, 571979255, 173147819, 611649473, 31798288, 59899882, 789193870, 635849130, 945537888, 908060638, 757367326, 227655956, 767195963, 119151661, 238486235, 770062028, 401344807, 309416079, 600186665, 743244035, 519946942, 574727929, 624048098, 710449799, 822957149, 486091796, 196741095, 353506780, 907549862, 723350151, 966583892, 120740588, 743932030, 241336581, 50342824, 389205014, 994730479, 847349104, 428932544, 154858655, 716769821, 573248971, 708494606, 906947076, 953507585, 221099730, 954658142, 443042710, 164050165, 659286725, 691040679, 325082194, 943211903, 385369826, 952858699, 551740289, 724210108, 27061624, 414749766, 587778036, 100009214, 185771943, 206035920, 372861546, 725238447, 204229587, 361259606, 103494136, 23806133, 453866068, 193534313, 786382458, 530642257, 292047524, 946890387, 546425778, 682588873, 571704548, 139435506, 895885106, 225611324, 127179545, 410991195, 135399215, 814343991, 597717970, 276063606, 821677542, 133210900, 214494528, 596024143, 928344559, 179684060, 70886497, 94572256, 831417213, 649683065, 399445753, 985552692, 88587374, 448501028, 223819895, 121696432, 23009327, 658919305, 6607158, 142402894, 235884672, 154286675, 754349524, 302291928, 969551435, 23560113, 947175952, 283029741, 777078214, 635343846, 483485267, 276738191, 177516224, 640880122, 121343294, 770515926, 461861317, 282148396, 403719083, 996808690, 437152661, 88317957, 22719655, 547329889, 744999561, 511727992, 806264073, 552305635, 192357908, 77072147, 16811109, 734673401, 712355975, 691145232, 822284735, 407191543, 1614887, 237366654, 614130200, 798763753, 792557016, 979025990, 684224371, 194779995, 870454018, 329587682, 582479787, 714258452, 813778860, 230595316, 875271994, 42063687, 236280793, 239780357, 604242007, 466683549, 246935943, 435686306, 200777038, 239647977, 107782825, 286050988, 144015799, 895780408, 855700180, 138108923, 277526364, 906802374, 550813685, 609731705, 341880839, 303070081, 942816550, 543643317, 833616433, 328629205, 940382561, 71327138, 964663201, 838771009, 757052437, 116313449, 657762439, 909072087, 908597543, 923846504, 172087493, 606962879, 548583532, 347203674, 626159904, 927911118, 704428002, 56019661, 530823845, 162734156, 264054496, 61338104, 354510280, 967795820, 326896904, 928297193, 444239521, 871522327, 250963888, 56190194, 773773770, 236616722, 859631687, 658603907, 714352154, 640729474, 711405419, 169005491, 230838885, 400583000, 627694817, 487834623, 678094106, 440394278, 847453522, 101405343, 424418635, 749073271, 942643312, 728120382, 865147324, 148260194, 347709795, 324769842, 427547775, 148489024, 225526710, 456808423, 755070835, 571646501, 736747299, 346446018, 136330148, 494808691, 703321835, 363344933, 819064608, 348952600, 521189260, 198548808, 761440327, 54382935, 480021444, 959487218, 710555407, 740223112, 499890133, 724460651, 213279865, 993310494, 702929217, 596357138, 162754343, 984629393, 121447832, 36631443, 80823078, 666279692, 799159504, 511751136, 467053976, 260643449, 257361400, 114194615, 300304658, 922682177, 234002608, 536859246, 827846495, 786023110, 377652523, 263781853, 179942014, 307767573, 312204919, 940092730, 913135921, 159666212, 335423659, 800531266, 611551333, 218194946, 294329759, 10280475, 996715858, 394306742, 369057206, 441041395, 435317494, 545297782, 380858217, 299854297, 47840683, 925396647, 760964535, 259036072, 435628122, 9318359, 457648051, 874689320, 617191308, 539098945, 888393297, 349135585, 421125754, 467217872, 987869568, 290979109, 282392721, 631544683, 529191460, 128290110, 694485407, 526491198, 507342555, 449386791, 998604853, 305087180, 252156890, 936380785, 747374308, 16286458, 655606511, 312348998, 410254269, 563145592, 144527816, 776666853, 273489555, 111909669, 979643862, 102538113, 595323710, 481874376, 105184111, 327389075, 723910250, 69401519, 25900893, 420522198, 349507597, 609844755, 638991118, 257026421, 413116143, 484053020, 774726046, 807290132, 313621325, 226184044, 409077828, 334564716, 162450951, 469124519, 974618176, 533446805, 877951999, 813329676, 944678778, 717188644, 936079494, 97394031, 293980044, 705953199, 846297003, 469999655, 76329064, 669218608, 881809867, 775284846, 414924683, 812086975, 141592855, 362340612, 566175027, 497679073, 452324785, 572924373, 273612755, 883931904, 608209549, 168639237, 123799553, 242666274, 568393394, 234362870, 717103554, 835796977, 537931616, 178278294, 529671837, 742629097, 710083942, 327704428, 789762468, 890344619, 819217235, 30722847, 949429838, 796072579, 843608836, 677718923, 303906499, 953025991, 757153128, 853490416, 417538854, 629647652, 271226916, 936800415, 908895746, 766819711, 632731541, 1892620, 287380753, 433978167, 202536764, 566783211, 380751231, 39175573, 257654298, 833790375, 388123765, 964370966, 400146820, 279273369, 799640862, 602464399, 292182576, 888669439, 375852742, 521695857, 468235429, 207358058, 112171963, 768970206, 827700564, 979396619, 968594233, 663447214, 968133272, 402397608, 984691863, 313968004, 443139898, 747407456, 510428994, 301282446, 854323064, 134586183, 290446180, 140194651, 692061244, 347745650, 403070835, 566038621, 263190911, 824914155, 420021323, 575097465, 163325818, 198736710, 951014786, 725526977, 822819846, 243984494, 219056257, 274757169, 318942226, 143446995, 644497608, 796330834, 756916743, 798445574, 595842731, 556945124, 733231325, 598841267, 564086656, 658268190, 747422276, 465975796, 995991824, 196465974, 859199777, 528013341, 240003311, 694061827, 871005392, 916864394, 191112993, 439543955, 304633878, 403503700, 604525481, 21360106, 668904968, 27274988, 675011627, 139091523, 921595939, 442971159, 771967693, 684139434, 157668910, 386057295, 232920242, 671774393, 943080816, 991510625, 837052663, 548171570, 292007619, 358152472, 499845915, 620359834, 509046409, 438658700, 395086605, 220513161, 543779273, 337422880, 968257579, 678307449, 740734863, 173994243, 954979636, 154554925, 995664028, 182424907, 506451559, 596206282, 76926290, 495093028, 968105799, 820597058, 283032771, 85225655, 108930197, 922041280, 621220546, 151108127, 144234332, 534236490, 854509687, 70123582, 453644994, 979444090, 262562680, 495185864, 229519022, 76597089, 791134248, 834087650, 445913080, 465613009, 915047715, 213903210, 895786509, 975262075, 81020612, 434289057, 928186179, 102454553, 596477775, 426176342, 115923022, 850964463, 674884101, 969565704, 490979214, 572552029, 828424226, 331031216, 684216921, 367151547, 34395541, 486376772, 868705685, 316920679, 511797680, 759512501, 702132200, 21782046, 496743429, 766536116, 507816075, 793954695, 31716303, 531195812, 399956284, 307779266, 814904431, 325904664, 930288013, 464023681, 592803438, 136661761, 251777647, 763987122, 116967067, 32195446, 568004645, 291964493, 128785421, 216075226, 859981678, 959787065, 362866162, 634052227, 21185688, 372128741, 84691095, 996614217, 960363211, 413230263, 324834293, 137476891, 182517397, 253938684, 744058636, 839206499, 587170376, 890388033, 612115615, 779647051, 144920552, 661183386, 46105477, 199398523, 126655110, 963170718, 656893858, 441353425, 684930139, 547876360, 158905, 698626522, 346609563, 27981364, 574102811, 441500490, 552396699, 252501058, 953741451, 221121610, 866281343, 203097669, 865656256, 599532286, 679841315, 952103958, 275622919, 599816702, 297049582, 621952449, 229316019, 839945945, 972354149, 914390668, 564655975, 236113520, 187208675, 978737794, 225222530, 513569133, 838365928, 881729719, 970785509, 368858763, 819087815, 929749153, 483322352, 517932450, 233559928, 263312815, 22978158, 355690553, 778877836, 936799384, 890816849, 140010172, 888203235, 736020544, 870235857, 351225948, 728532062, 283482452, 964361230, 372584606, 538187448, 752032542, 687869736, 802893516, 812838457, 13417346, 316760566, 109610894, 72128527, 4840279, 396369825, 667379957, 207053282, 697967514, 457587081, 907485850, 499273681, 445567852, 129533655, 27466177, 280656420, 588952668, 374115844, 161828227, 268276269, 105260569, 737868670, 644577184, 858909494, 31911312, 668701642, 841091762, 17708331, 433928564, 665611896, 174634219, 23106475, 465415797, 229296313, 292514542, 85373874, 810125266, 845249199, 246244523, 817951932, 586951386, 397648508, 77486040, 572745055, 446041441, 902493319, 419644633, 870268944, 198066945, 706043622, 74588927, 587889495, 147972707, 229169712, 581673978, 432135355, 850441787, 191348783, 449492821, 180150647, 924881852, 144698017, 661742270, 841705818, 396981347, 689381797, 776566663, 954998811, 582761194, 701735129, 99219420, 496918939, 508288088, 386318431, 195127096, 90198647, 314105750, 113208370, 131509327, 373340658, 817423393, 133919868, 755180193, 569166670, 775539429, 851096824, 482915984, 666385163, 495105089, 226794771, 490563589, 76115625, 8883989, 434067525, 66558067, 307870331, 210404050, 920795979, 420418583, 632321568, 530362138, 372506574, 679457705, 552832499, 45226917, 995998298, 659023983, 243381718, 736833674, 562842487, 197584414, 429209136, 460665018, 215576745, 505993136, 163993880, 835770675, 839717017, 669378308, 146792915, 264557834, 732912335, 588422828, 888804579, 297286304, 29972326, 583248230, 269470868, 220909591, 590376413, 940815575, 909670409, 799105473, 666533026, 50157067, 151375690, 906684910, 305483782, 917830948, 243964080, 892754951, 434909498, 143306197, 479719451, 90832822, 194781413, 623043754, 336307744, 174312238, 336253789, 759629886, 638454792, 325565507, 261814314, 693500730, 54716070, 241258921, 131187466, 538725789, 336550264, 580058271, 209457723, 801895638, 526126932, 550017166, 273325591, 855316270, 482366052, 665665863, 276647701, 946674979, 435372385, 364750682, 228822623, 396439515, 100427476, 424316370, 787070883, 73904359, 971799036, 564626782, 915696841, 790203540, 696918800, 394326616, 815732458, 730091287, 222334009, 166259364, 352223157, 941698622, 269888631, 472717014, 621284272, 157871192, 938053698, 427200904, 904959489, 297487945, 723780210, 983417012, 699236586, 550327808, 556872920, 472213753, 977612602, 694359569, 154536031, 957427732, 490662015, 261089974, 487238161, 393864277, 787119381, 184561525, 84367990, 878332739, 879785846, 470979374, 968739962, 613854669, 220356263, 195682041, 534834529, 231746624, 309349494, 23894170, 727827597, 579496458, 442219632, 187740, 732354195, 616830866, 264528847, 187023267, 972864336, 495888442, 497125668, 47794109, 208897096, 100392629, 635092670, 383419324, 463845485, 278562302, 991372028, 332957423, 96651796, 656420552, 964223818, 35771433, 123149498, 228282047, 759116291, 858929586, 639725777, 820052716, 825320131, 502349163, 133923764, 813748228, 315444108, 661731900, 643756456, 690065629, 910043017, 265838913, 63758003, 803808118, 864914163, 114631325, 133086894, 356454000, 69988307, 241714886, 522491068, 386434381, 55763119, 103727757, 917893310, 81524838, 526712879, 193740022, 123975318, 559281462, 75590425, 333126172, 481019243, 186426676, 593994035, 225758446, 439588671, 32112872, 378728443, 91365226, 282487305, 229917835, 826498746, 881685297, 307741458, 173884910, 640624687, 219477721, 600917425, 866440523, 291841179, 634373983, 27442405, 71249426, 553708258, 613900025, 316145012, 651004939, 131358481, 937155100, 322969785, 58384292, 263158339, 531431384, 345035443, 202112992, 832914571, 807358126, 177165069, 832957194, 986910306, 59456900, 244740590, 667123224, 424887886, 113482451, 179765110, 860178639, 372250754, 229611095, 605882494, 656317386, 151303116, 756995494, 870859613, 763876147, 269938522, 307621164, 471117632, 360650934, 214611668, 226482732, 567897285, 63345534, 844229523, 202776159, 649545566, 676482544, 377851299, 748777169, 821246865, 393644394, 933265659, 485037844, 173722412, 616767109, 139497429, 450065701, 338086945, 934199080, 913760661, 14433035, 701077263, 455898488, 957604961, 140522244, 811022995, 856996116, 865099790, 709592100, 393629128, 364693270, 905149788, 196797857, 405669273, 969138926, 245218054, 835136883, 724743101, 265125478, 675449462, 61872795, 556918069, 974590342, 830304978, 698487046, 312526867, 388205891, 734520323, 839139611, 718976431, 834170337, 920920336, 967075233, 702345758, 77436243, 643775069, 885253056, 536353221, 711617081, 427772504, 781604665, 292657831, 964242738, 845465770, 623340138, 70760128, 734528810, 64166766, 943954866, 690755152, 365421437, 891556585, 940747755, 589367343, 295745545, 369693098, 703232606, 872997542, 821558493, 858123354, 211020882, 990604794, 688914515, 733896893, 515351596, 592869613, 2405117, 323023512, 167506287, 868109190, 195666393, 635510488, 421369318, 737859370, 892507909, 527321298, 64972594, 609891649, 988156614, 137909716, 119064581, 419951721, 740381161, 998602896, 281530563, 847607595, 368909551, 320583220, 726512051, 225255808, 73481240, 490846455, 797144294, 529105263, 89305411, 792199098, 111843154, 581574634, 749577565, 304747342, 408277115, 357145124, 114004884, 76730812, 796982054, 745437600, 528624509, 518234903, 165426190, 330010985, 260705031, 185379829, 142583846, 837090307, 605035018, 540196944, 524292146, 247913690, 234360293, 505485598, 983515861, 228188232, 790676679, 335219939, 644241988, 297163, 448698850, 499525201, 976191209, 321484534, 527181161, 232992268, 231978073, 291222666, 222688810, 22920577, 140971131, 438719909, 645897115, 531981304, 385421689, 224957647, 517324423, 824291620, 949784319, 368693066, 438311042, 663362255, 99685848, 446024943, 512678467, 30174645, 421466294, 411030046, 43009129, 854868509, 180948899, 223438951, 107683810, 86189238, 892639228, 531078427, 373779856, 4365716, 686420388, 96784711, 528409452, 82338264, 540568341, 697759606, 513975022, 946601475, 879325869, 523710898, 476588997, 503682654, 937480602, 890484331, 679089787, 202046090, 79923457, 586276921, 357815656, 661614388, 582434081, 225744934, 619807780, 394620102, 66295075, 374834604, 703984967, 608625890, 427360429, 866395769, 954812242, 552276694, 830477440, 729779280, 634132253, 288705843, 966474648, 222530951, 443078722, 498810527, 208527717, 327938791, 890831427, 46479945, 665484128, 477969504, 49496094, 148630265, 521987361, 114877623, 222534003, 805487264, 273227317, 377952290, 284087131, 996068885, 361980484, 460128667, 500639034, 638990910, 685465212, 916496762, 921973425, 694160138, 653694304, 530414123, 119327506, 918491677, 258699091, 498185140, 395157347, 38568977, 105593445, 181121520, 471624249, 514528223, 318748966, 824282766, 85598954, 94697813, 875277489, 833868061, 932387625, 841921180, 773690515, 358585786, 707724060, 916378145, 515550294, 1493696, 286811871, 120578641, 183159325, 526744706, 571356459, 160209938, 665424538, 223623057, 819543072, 257904770, 13605566, 66759590, 852968545, 726808529, 432423776, 739327348, 559757686, 572802230, 18392611, 83012372, 247237893, 804346267, 582028920, 512440966, 950239955, 11475306, 743259819, 166734700, 807958330, 636885074, 122580116, 534645013, 129653693, 34273531, 174685566, 562968875, 587763020, 122353778, 145513399, 925555309, 119966936, 235383508, 745997554, 423478118, 311851226, 440131586, 820599844, 576649988, 363158948, 206274914, 729775905, 103476304, 907557544, 145668634, 565606238, 746219111, 563744522, 810511458, 979190213, 919014956, 124646898, 492932213, 12714067, 972206215, 223710159, 40860685, 380550405, 609306582, 127233435, 546294339, 634445113, 25163382, 755855587, 779771099, 168181090, 562635567, 252139729, 488057304, 989636666, 345793711, 230362952, 802246609, 700541390, 964708886, 401731712, 351777784, 383465265, 102739027, 87229067, 911838970, 763513963, 247635501, 948592242, 607325378, 792300641, 446199191, 144808541, 695932770, 487459216, 787430326, 623340757, 894659726, 708731128, 483719880, 956502573, 144395223, 929576716, 885850002, 975852729, 448707865, 509013330, 292983280, 183928524, 332042492, 215118825, 753889820, 15938710, 100879573, 360365510, 288016894, 857058842, 864890412, 36910606, 366920479, 417426487, 634456834, 188594508, 916222579, 768497989, 606831283, 828017078, 737007121, 845993646, 210782426, 961621524, 844049867, 278605578, 84637449, 124674351, 410971463, 471602149, 423612620, 600110852, 262920511, 668688259, 447418369, 804855662, 564354877, 10006608, 797819480, 57818685, 690343187, 231487841, 588018007, 253610211, 257687443, 869570927, 631311750, 468878203, 940874166, 322029549, 464377636, 530525377, 746508009, 896304649, 870386910, 677065446, 574192820, 26970849, 679997766, 603205886, 979793712, 785099226, 302101111, 200132016, 474361124, 558018176, 126289156, 458322436, 844895821, 302568684, 492895008, 40502578, 627080322, 328861704, 341905260, 409734884, 292918154, 876837899, 624684540, 306127152, 718162784, 557563237, 598119321, 503305861, 277545400, 96032143, 974289501, 527954176, 114955644, 638752306, 964131272, 48697585, 545032203, 143810022, 955311816, 159627015, 478827688, 834098364, 617720381, 927391939, 420854661, 896272032, 303159914, 166759114, 811137308, 513714543, 211507638, 15602527, 645031308, 516613436, 774926894, 706268097, 539618869, 954495062, 986920021, 31974736, 436153026, 888880994, 887762759, 273818288, 972451583, 983871252, 629319627, 503403980, 289067510, 463510357, 455674122, 370930213, 29155154, 436053915, 265326917, 745988590, 683733830, 944196735, 33484006, 298112330, 911548598, 596165061, 917392933, 712337484, 294266421, 222226715, 69744853, 617789792, 81221151, 769849920, 441646449, 179473804, 936374814, 251292175, 93801420, 225848534, 927568546, 142159828, 529884385, 529179741, 539618448, 925287096, 681473740, 178411906, 140054018, 248021256, 398152659, 101533723, 998117023, 779306684, 141956429, 127697751, 356946781, 213507618, 647700876, 913727706, 169623124, 406381813, 439840287, 856721779, 298631271, 177448575, 305274997, 48268875, 805899650, 55146656, 440533876, 953156711, 369350015, 402127551, 613649269, 545760174, 897363918, 615507763, 729320973, 326593812, 167879111, 940491290, 488487081, 341691670, 564373404, 631215795, 615936159, 513819211, 368530540, 870154303, 250393521, 170094493, 926730587, 173457401, 997803945, 512995295, 668969830, 98850599, 465253565, 534495169, 192483836, 363556051, 984547567, 287523008, 292742716, 468975140, 266383431, 36322612, 630200435, 909536749, 992607725, 208184700, 129912514, 273999629, 626480797, 740817506, 710250524, 502556683, 85550985, 725957355, 41766650, 502765964, 947085642, 766255416, 212286591, 77383102, 906629428, 569346133, 48985758, 903429420, 741500816, 159589441, 667921477, 85086534, 128938078, 436355843, 458013114, 807222625, 682439589, 706247330, 23420410, 833500745, 690816690, 623309818, 532842962, 214699212, 841121682, 863429514, 405997568, 560990076, 727955830, 726021315, 882665249, 799354436, 671104439, 80751002, 77889158, 335157287, 932715297, 262589848, 62785560, 825059102, 251189497, 829625494, 560016461, 994484021, 642293924, 642427621, 891909450, 607505778, 243904409, 642401111, 278807871, 208381814, 364686162, 648789449, 236651718, 245087252, 989224924, 799300482, 845396540, 479279042, 521768532, 156223619, 821922953, 314912167, 724496411, 656764655, 978739518, 430245392, 191930989, 88279139, 431659080, 693176839, 165658044, 597541809, 185678887, 842447640, 684061226, 453691428, 824033619, 869138065, 693806589, 946639360, 210090813, 250036573, 663579605, 146811117, 61613102, 246315775, 286001732, 191703160, 404547853, 845553762, 638274496, 762190810, 722708248, 536377244, 547999792, 381555413, 7330998, 980228165, 674554121, 794866520, 399013501, 367689060, 276860064, 820934024, 978129733, 976353264, 862315573, 252967131, 290946748, 304748981, 488900870, 315547114, 261198586, 777432195, 148404770, 245107947, 574400061, 7801143, 100797862, 795408241, 920534859, 747004254, 820721499, 562573381, 263067150, 197074699, 586515261, 401181505, 399822174, 500148247, 655202362, 896155427, 307913351, 328288976, 403767602, 532113945, 297794492, 520533705, 403013653, 991377415, 605776450, 435682552, 785872773, 424925238, 593358660, 156868191, 843238506, 669960590, 862998626, 105592743, 968269002, 948672389, 236630743, 202926037, 991308302, 593882563, 44783667, 583771370, 494403229, 12484289, 506508268, 752553528, 778255333, 195839029, 781632226, 498814968, 740375594, 160723059, 415840716, 127330765, 607158045, 717462603, 348796624, 611856883, 453063437, 212846098, 571968143, 787592691, 404721908, 801934459, 896645450, 569029103, 505694180, 61649005, 761921637, 762921885, 714274692, 621566468, 591148043, 718851043, 449726040, 208105375, 452873649, 301690725, 905497636, 117991340, 132125417, 430242172, 797093770, 772380779, 827672263, 961808334, 885905649, 432777405, 343568380, 585444424, 506770058, 847408438, 320170860, 433313717, 563028385, 759897878, 412942311, 585325073, 806109515, 390929922, 142711836, 208123998, 458165898, 839159768, 863567265, 522554965, 645053303, 161273990, 469712087, 238001365, 580933609, 615832362, 419716408, 683927892, 210842416, 293323805, 401894778, 479868075, 68241399, 135646984, 779799704, 44858655, 906955183, 6126059, 545173540, 272456366, 973459548, 972256160, 74692390, 680213242, 790967699, 859441228, 546881699, 25538635, 453941965, 969673149, 741180146, 233060818, 144012766, 487352293, 452670880, 182176284, 476166110, 774878363, 179793739, 597555669, 630897630, 236980679, 573150714, 99558176, 95920357, 463675353, 187689781, 717926280, 111505322, 374498481, 211294030, 320110452, 32319372, 204677937, 209511675, 637696352, 900209461, 894539628, 784169955, 856595274, 239222799, 89719179, 879339512, 524299201, 512709342, 514493443, 612491531, 402655353, 879332403, 950935309, 668423258, 753070127, 94342579, 877890364, 407986993, 646356293, 781571047, 515059722, 541698726, 851765279, 236977012, 264292341, 772879614, 844095385, 215222391, 226947318, 905680213, 376155211, 496460819, 835446672, 497127940, 987645823, 805196719, 795655731, 127015767, 64013676, 764551266, 204181797, 364351537, 904567417, 495461954, 567918887, 40065282, 658812114, 333456744, 101746199, 617995221, 819632107, 926525411, 393031579, 737044377, 12096313, 587288120, 900681161, 360424369, 191557396, 595106397, 360498429, 840270187, 825811619, 387844476, 479214030, 577845388, 19522144, 271617544, 897496618, 100240031, 421388168, 511078774, 697401462, 2847414, 960206885, 567695114, 8942094, 327761295, 773797430, 329124689, 1070775, 42813933, 375350724, 366395721, 318649751, 532842263, 258408806, 811026169, 549266343, 969543240, 413071714, 91895855, 243855707, 518305154, 966580873, 413559808, 41782270, 900957062, 122728790, 641979999, 202622652, 438450654, 103518179, 767457030, 94407829, 447084778, 987038261, 368090346, 402539184, 508035741, 45307599, 764903510, 148215974, 103739806, 792337999, 793596856, 554294093, 303272971, 10937667, 815500801, 1201387, 814246355, 113264062, 884670643, 228969912, 486067439, 50040031, 856229740, 5245211, 197786008, 452549367, 485361263, 172479938, 541628237, 58193476, 588920462, 591795564, 663707863, 590583262, 759970077, 372631191, 767265183, 25338929, 905179513, 884312359, 472498201, 75921202, 972014241, 919117178, 314855462, 449380244, 494681080, 796316857, 265250945, 178075294, 174378720, 179240340, 884264700, 125729848, 686924861, 999334820, 534197820, 148251941, 574969655, 507698758, 138232853, 828913257, 333423604, 865617453, 338314161, 337209535, 989264682, 321511669, 58610142, 117155956, 294105343, 139570196, 248698784, 75516385, 782773129, 967934515, 591824927, 968996640, 57772953, 814466757, 879520218, 74945156, 732237660, 295580119, 507806324, 114977248, 282676644, 15916365, 106928443, 401120202, 143750421, 100940810, 291017475, 102736053, 874917751, 101734205, 729314311, 699301584, 610055373, 178310327, 757716330, 448258561, 435999441, 175280119, 967008821, 79307392, 484530902, 633482023, 917335568, 160779059, 593738408, 579677310, 624623764, 338755128, 572470551, 146781439, 630326264, 944027306, 399645863, 988498934, 709574880, 605416044, 210251506, 423392745, 242295210, 749281875, 708035836, 615613219, 541286540, 786122102, 753924422, 927343726, 99129873, 847846921, 218105320, 760846005, 880488145, 389636939, 622162134, 778513479, 133368303, 993159180, 755700502, 335555481, 887759899, 886872791, 450170417, 879407282, 881496310, 47204625, 847273497, 656344634, 4900219, 594055922, 140666469, 394162002, 187693001, 183244442, 213561494, 734237212, 727160440, 123023142, 438769780, 478027807, 219243778, 484167673, 581337837, 586420040, 270518628, 87895561, 937255932, 106498779, 396238147, 425171843, 929313058, 247494450, 813192283, 115507370, 183453336, 792630667, 800019636, 87681126, 317675284, 40307889, 292321037, 905426226, 39338957, 836155024, 294880652, 468129158, 36661880, 998609368, 347636150, 208154210, 408973718, 44230871, 989707503, 597750522, 432386330, 787763238, 248259424, 731109681, 457159011, 566956, 586594866, 41512029, 100662668, 296633217, 633905950, 783673212, 886910894, 422931356, 944348616, 756298884, 386626157, 440832423, 175575617, 960475414, 5438370, 525057067, 39809783, 337092226, 163035914, 54220008, 271692113, 277233777, 426518185, 980713812, 598978017, 149753661, 398795574, 630339370, 26650818, 152257671, 500971410, 186956039, 816141362, 881137133, 814871390, 916350182, 339716193, 435164759, 706090084, 239747506, 365756435, 786026881, 510185356, 751588910, 879715442, 28894495, 800767426, 82298510, 902885733, 141790022, 637007667, 243761178, 329216089, 16430943, 479258332, 864611125, 372415641, 801812503, 327091565, 729666532, 319662824, 732109941, 178762291, 584571472, 853581389, 921981559, 91966392, 364795567, 587938450, 729425764, 507957612, 864806715, 836287492, 659418179, 242175737, 831515044, 948389290, 550236985, 940254988, 206055765, 198468569, 261429289, 20580006, 176892430, 170317827, 378544467, 800038116, 976850022, 902716292, 25107985, 298586132, 897999707, 70993381, 427338297, 700779604, 744321334, 467362183, 490479302, 38817962, 857067980, 994233227, 843679462, 420854966, 128160402, 846998369, 658238282, 573446184, 106573074, 621722187, 621683453, 635878714, 843867577, 2458050, 694052209, 762211724, 286197456, 617234570, 418233425, 736438006, 308816928, 130099301, 307573998, 287293470, 161678480, 677355310, 506198042, 562771228, 753875167, 706671927, 443233900, 356679775, 352234249, 223116351, 444540979, 782016431, 794798924, 242624989, 545286392, 253913076, 870317015, 716258246, 717218777, 219471967, 446484779, 505849694, 666886378, 768140744, 467501185, 650280527, 602503397, 24197233, 826009768, 103134868, 901463765, 229498243, 70147768, 154086278, 990270278, 729842895, 531368972, 390859070, 651416991, 470598977, 89178469, 726912823, 64313058, 761996386, 181412766, 786556527, 796470930, 996519655, 904481226, 543906603, 433075512, 604921289, 828152469, 378677460, 923068541, 584288134, 409553741, 200650734, 623706219, 81604982, 607160574, 455412205, 274638356, 545137918, 700002295, 555874695, 456173103, 433181944, 216692670, 342290167, 709336141, 152860447, 462445929, 101805040, 133573590, 369775206, 93231740, 805290244, 119581420, 884575645, 744399260, 98542532, 284685821, 127123212, 280987464, 646053252, 35446495, 555698040, 944483176, 867281788, 829874262, 493998003, 260726958, 789740101, 429885728, 176660251, 644914512, 389757195, 237952679, 739939873, 951283729, 946083910, 996284428, 446008237, 641750011, 494398137, 661327626, 370051432, 541849794, 500665153, 70862501, 313997436, 413323395, 690317619, 180420116, 643335433, 445604115, 614783501, 20053634, 792024778, 554982531, 535065450, 149803219, 55255381, 345877856, 839963634, 845807311, 721236169, 949127391, 134055492, 815071981, 360471905, 838237090, 162163015, 913239096, 370743054, 565579818, 877067411, 245337220, 281722992, 305557441, 266004831, 711336873, 68917587, 403608861, 416484770, 380012192, 89383184, 313542370, 925620107, 469839679, 411167210, 320015481, 768201388, 693273383, 942540000, 831724930, 769835299, 450637806, 934278292, 913799858, 434029191, 523849057, 375525546, 928307655, 369269869, 899318047, 200869984, 474580545, 510674728, 622044542, 166689276, 597363363, 109551750, 89000848, 891482864, 980196173, 770911175, 760492085, 991705162, 799978892, 675481054, 155385392, 459865052, 564370206, 33415674, 46262211, 37120505, 390692885, 814396790, 873245155, 6951939, 953421514, 557633724, 277141142, 267396714, 960859056, 330906971, 427236138, 650915703, 61131436, 786788665, 404345325, 363094919, 568469436, 772166468, 46164131, 691201555, 857836090, 207666322, 180711311, 398887866, 271909009, 510545900, 185545300, 433536852, 18024763, 347155411, 365384020, 9664755, 429919961, 339305228, 754057342, 411344789, 24595413, 179785873, 780665585, 706510128, 369321433, 585830569, 237099967, 498210176, 742391246, 445330217, 283777675, 410404925, 593162758, 930275599, 197179683, 283330221, 894466080, 342885605, 339550870, 462608738, 421670310, 564597115, 177296099, 675016329, 36246039, 41647346, 245706124, 894593821, 473701600, 169638591, 483657613, 962292707, 892470222, 90442360, 437947172, 45643531, 460591297, 825142735, 536283557, 809346011, 885327188, 326963645, 196288550, 416527113, 823075813, 728715845, 411506406, 741460331, 592275125, 965486472, 575309234, 113331285, 860018784, 284683860, 313509834, 30890028, 933122081, 36503694, 270760667, 383359138, 999650774, 630340380, 601413470, 316397928, 25242741, 607604380, 461614534, 62416655, 457205832, 142293289, 157996740, 252068133, 12361039, 639304505, 151435001, 494600090, 191174352, 556053620, 903763415, 754789303, 854844340, 675799274, 385151889, 229054896, 30040062, 648965248, 566835689, 564591660, 714995500, 695746970, 730408564, 658546016, 19277563, 364957967, 735253372, 956443084, 586269636, 539152790, 178364331, 179915395, 717286111, 695148372, 637240014, 731417684, 310370073, 873498238, 745556497, 388475335, 371060097, 904510995, 802221515, 582145589, 625102821, 425092851, 656539517, 900383370, 383864704, 175550286, 46357285, 365780139, 947927570, 584941720, 210754429, 29426985, 466030280, 351901808, 197222593, 504001913, 870465847, 460792615, 779189742, 968677244, 506244323, 207240550, 70362070, 603369610, 315236423, 226479171, 141495637, 453946751, 347591141, 839682512, 483929931, 706230521, 355395849, 984593801, 69013680, 517998396, 711323066, 395713163, 255201229, 120047201, 153606515, 510797931, 930045207, 509646452, 78073144, 603989550, 741863241, 599176515, 539995343, 240427074, 916236828, 684223632, 494784052, 226672558, 591057042, 752883359, 452837395, 538715086, 206897188, 911919012, 606596285, 855681718, 614153241, 306646044, 624530378, 732934476, 719898570, 868942993, 348240379, 852506563, 140557326, 586694771, 712650640, 828831717, 880988884, 5498789, 600821719, 451731948, 746542169, 434129765, 195405235, 758893117, 107694449, 605882104, 380168326, 581356102, 720878792, 248783449, 44231247, 998401501, 92000472, 624957738, 440594835, 435037854, 453670036, 571538270, 784321066, 311425280, 391378239, 975152816, 859443221, 789410516, 779713166, 415841295, 181947099, 868012409, 412433218, 271348525, 198631872, 432263383, 467662827, 715095613, 892789682, 401971931, 951256758, 881550421, 842851524, 284497079, 242477807, 512456242, 653686947, 141570634, 729245036, 476002290, 910890245, 903874956, 727540677, 907372907, 297838735, 670810652, 94179839, 245107839, 427489487, 645687331, 140639787, 280563281, 460933293, 44612582, 577503889, 829890116, 167431388, 267778917, 310006195, 796582779, 902439146, 339166634, 996462393, 763069193, 370487647, 302263122, 301904214, 496166514, 464810672, 423109277, 910603425, 177694851, 228739421, 662595315, 989979179, 256188946, 362500744, 144830387, 529822663, 131354618, 829469465, 384978464, 519646321, 360765927, 840399030, 288873492, 446028344, 40687637, 644335939, 993345168, 119159155, 253213484, 681473681, 229926640, 87803877, 887655713, 402623318, 678616439, 28588427, 588040772, 1126262, 622874903, 504403918, 611689475, 186116336, 337064678, 985773136, 895603696, 774221178, 310253483, 75406587, 571225996, 823025790, 724456095, 768952292, 784435229, 616700188, 194191708, 90061991, 201214065, 154907076, 938161996, 742732463, 523160148, 279620580, 612972292, 351776938, 440851041, 663445813, 922634276, 111284399, 965131187, 869859529, 643422950, 764967452, 825277119, 710188538, 509539517, 180172729, 766987479, 663711015, 126544133, 108680358, 595961046, 999775804, 249380015, 827703966, 478374087, 622721622, 364489938, 950473773, 910787523, 980094388, 329286102, 943229671, 318537191, 290902820, 728356243, 221729727, 581624765, 226766181, 782257923, 215585376, 74320695, 871230117, 539734037, 228838357, 759889731, 528869749, 775885785, 296250743, 9346279, 78827873, 796513676, 695583143, 767182416, 366524558, 293568485, 665153374, 445572066, 114152003, 873549914, 458682416, 794551203, 749443547, 519589885, 6717085, 351196003, 802468570, 436909262, 9016203, 333209166, 427217039, 213998683, 322872434, 250753477, 925149573, 386203047, 91146005, 645259372, 454915302, 576904613, 436528236, 598896207, 550994846, 167257459, 20113732, 657213989, 428934136, 54738093, 270808126, 809839467, 460822254, 777662662, 382365179, 598626599, 743989505, 781309165, 342003887, 250453212, 519378262, 563928287, 825654111, 528074435, 901349786, 586479157, 551933569, 633652871, 1925256, 183376311, 541201676, 246691447, 319224753, 451926304, 46870193, 758347806, 535732377, 237379273, 140121072, 298314762, 707425468, 563747919, 225263386, 697842762, 941663778, 931436019, 131299228, 813715216, 747984919, 133286180, 124867404, 716487955, 616984589, 486258351, 196668619, 586132507, 87893277, 26353883, 349934334, 715401399, 144620325, 990169710, 826263668, 324704951, 953718622, 142882235, 74793282, 463745756, 908443117, 742822647, 292311244, 799763681, 260934217, 805935776, 942916291, 549509676, 592644695, 144244401, 258966334, 400861428, 771154920, 749358434, 322992851, 824982284, 224045660, 543977788, 398523199, 967518397, 344023881, 571882367, 935612894, 136508809, 641262575, 112645172, 603747006, 126903285, 720214465, 828360152, 765586279, 43091678, 642197057, 771087866, 328583958, 263515116, 760306588, 923856538, 743673141, 160845541, 459810350, 170963770, 958226409, 393152319, 745855038, 336605154, 690028495, 568625004, 830859796, 195411530, 886298911, 590198582, 1810033, 360572911, 487348733, 801706654, 942877947, 215449692, 302195283, 496480013, 512094360, 101429037, 908206650, 888632835, 898030257, 616963151, 88889014, 697963325, 224386269, 291808262, 202079063, 122111336, 362764228, 699350115, 160714742, 608212397, 148058347, 176090810, 50866787, 320739844, 959369540, 683888288, 902105812, 314944523, 95599030, 512594441, 257689902, 352115741, 126727376, 902037367, 594878314, 48866027, 753137477, 240998202, 392992685, 925497984, 401388054, 552579219, 224769900, 98481953, 953760539, 897759967, 56974472, 203212872, 502929704, 243273378, 557279890, 200900415, 642673455, 352866346, 167514593, 939635421, 600989914, 35540479, 416292901, 232847294, 706800702, 631175926, 269126558, 677437298, 700232448, 492129246, 125070034, 331903331, 693638784, 916658549, 758389966, 94409759, 417911937, 557679900, 687574830, 808870036, 147494664, 841584610, 690464822, 269744702, 115200388, 350346083, 692191734, 853484276, 730577749, 513492365, 500432518, 32888194, 677654303, 137455513, 323671968, 310495737, 640877454, 123242345, 767443947, 949628817, 842824345, 14905313, 171093503, 335330887, 350151325, 354564774, 588921924, 823182690, 610534862, 537716577, 806776991, 476588836, 376009833, 55604779, 132012358, 266298940, 73180704, 588089674, 246475230, 886598267, 874066789, 994592177, 611922566, 672327342, 732460080, 339843865, 588977632, 361200044, 729019950, 787956935, 745019770, 887330529, 489341485, 674967036, 758832319, 352308254, 27543823, 217269087, 734334680, 837958496, 866163044, 710967130, 168131772, 846390208, 214431654, 367987628, 761004517, 975408612, 732519431, 908312249, 640015554, 267804854, 561661209, 209787062, 512836598, 462660178, 191283014, 510824749, 592308920, 979537183, 905234127, 842560353, 421134090, 291502139, 213739898, 244599138, 446363711, 788555725, 733339086, 382013489, 190255789, 513977479, 373312151, 271365380, 949822238, 230837540, 347984411, 13569898, 112174637, 478555026, 660871897, 720667999, 777474168, 115779698, 463199701, 430216693, 934097317, 471921045, 91850628, 130219282, 739771101, 102087573, 798115097, 516626877, 993767031, 852198703, 588393118, 580574673, 524319647, 340658345, 48575616, 607049264, 102591903, 164426346, 28075347, 829198862, 722898117, 821563365, 830000206, 731995900, 50681376, 9468556, 367631452, 124485313, 508842155, 549453360, 942452409, 670564670, 615230772, 356952925, 384439628, 877200020, 491129205, 296757572, 858705582, 740859256, 228429900, 975871560, 173143188, 315971800, 914061119, 484665060, 747778799, 626222307, 627568451, 310628248, 779864569, 653098516, 938255542, 292202603, 37629150, 289896693, 314482712, 601220573, 387162759, 958501044, 788653029, 750898166, 881487199, 203172838, 78729167, 334263041, 854053566, 433572670, 593614272, 447087120, 631717127, 533140948, 17077726, 886131709, 636141808, 101514555, 954417551, 296352494, 803672725, 914371600, 822037161, 299923350, 812455679, 459761967, 42464997, 254645728, 602872918, 277842263, 106882194, 533159450, 861486763, 996743275, 72956312, 442505270, 600981444, 980965715, 313261605, 99249770, 342878598, 199198133, 791152933, 857910455, 325543347, 721434677, 56624333, 497859518, 837043063, 930267370, 4720500, 343062817, 649610092, 970591431, 417094847, 978359733, 597413067, 256922018, 633024948, 196155088, 869462175, 862597170, 744845170, 306450881, 120381566, 626066816, 700452371, 153661639, 925811473, 419151459, 825038855, 696281672, 281118236, 536943847, 572952903, 985363798, 929512712, 155332403, 344233777, 171650713, 966751823, 669206667, 684238328, 919507229, 278927231, 133171972, 89800805, 335753219, 422154814, 825218948, 743453718, 400922233, 375251099, 420125923, 728338690, 256668343, 561743615, 450817483, 270280069, 598969336, 488490183, 171947900, 482515899, 443990499, 491695214, 179465706, 584366783, 323337054, 610319883, 607030747, 754664683, 623442218, 544529872, 209406916, 184070187, 218465518, 94376472, 130112401, 269250530, 20142092, 956492836, 116380963, 97095841, 104706941, 798010735, 11509645, 340929803, 158803704, 43832140, 385257866, 313154222, 22000593, 506100462, 849370047, 787491645, 213582768, 763405144, 548349600, 392874432, 854000543, 781432744, 428308161, 157756852, 59194494, 330777032, 599256205, 42794255, 96613379, 373692648, 197625993, 461513716, 443213425, 983865993, 233259736, 272213433, 796585752, 144224798, 479046504, 600019389, 924247870, 621816693, 349622903, 175689659, 145617825, 870844653, 72482253, 580256784, 862626822, 79423232, 816691361, 544565188, 62286176, 427192235, 770614070, 559419284, 195468410, 313622853, 998013074, 269630637, 10319621, 515673207, 406361672, 880458184, 653311203, 207772272, 869090753, 20219974, 131177342, 150264742, 64449057, 733395939, 469787880, 718290784, 245744452, 610355944, 631425972, 834789793, 961061669, 504886730, 302892829, 287222236, 359043765, 783139435, 213518070, 739929537, 284186460, 860393588, 6602091, 117519805, 177078433, 400889537, 235280967, 76341180, 69261279, 241111739, 700939571, 434351453, 629233940, 167761412, 49390756, 252855945, 14119319, 464936505, 227818142, 642885945, 68674486, 715000309, 267122957, 696413231, 146467127, 793006100, 597593264, 65848633, 911379436, 819254455, 772182057, 624138651, 593165899, 439455290, 855817464, 102795386, 880009062, 174202208, 944081658, 270437267, 489343578, 923191772, 17490706, 656114667, 645670076, 415342915, 322015236, 742109455, 406933230, 181467538, 912192047, 129787521, 315284754, 195865596, 375740064, 429103738, 284288747, 905673226, 233269225, 994334651, 147244910, 827694642, 960452773, 957338670, 387300459, 951269519, 952043937, 802048372, 583503389, 595363954, 598677385, 677812530, 617704702, 801528963, 207138846, 13569224, 23281554, 602148900, 301687163, 209297871, 32444801, 618420957, 767965156, 889180711, 6709594, 491087800, 568029561, 187214396, 813434197, 138193353, 171152548, 111422859, 820784686, 220970556, 324937004, 222318269, 379305784, 359101948, 176929510, 241263930, 100868839, 343104869, 490874792, 902144593, 319030684, 844940842, 896948492, 985426562, 666195722, 447159813, 963824352, 921527068, 270465466, 232360248, 726214419, 223059729, 431399179, 409530927, 867029404, 988742849, 325962591, 606271263, 976650484, 430166170, 823646155, 965605853, 215933008, 655036168, 256162343, 151375092, 41398651, 433659928, 370322143, 614421357, 101155850, 551521000, 579116291, 897938369, 169010241, 971733618, 300972287, 699678920, 834151311, 757445766, 750724311, 939819221, 280222369, 998015327, 646898493, 602439793, 75757562, 520673231, 601396688, 503851428, 921593141, 289318689, 645243001, 15241732, 966146930, 176740784, 198053177, 972400634, 310571346, 873112589, 315093123, 555625194, 620605568, 295959749, 381075016, 558839323, 915630999, 383621769, 93801851, 930284333, 384363643, 949383904, 720174342, 505132615, 468761268, 968734124, 565323933, 913418683, 135762185, 343953763, 518992338, 340581600, 586553447, 168695518, 742347997, 264982490, 936328602, 940006669, 29110776, 771415544, 997760074, 375909238, 389001959, 557341801, 433438983, 841527058, 685425776, 542428344, 591611368, 448179246, 824023513, 651654517, 279974934, 292037044, 212481217, 961044728, 945278806, 479870144, 455208327, 818412345, 649924454, 917427469, 626407198, 247093633, 878256019, 943980281, 79600848, 307241997, 769992554, 259601344, 198877320, 182170076, 476334376, 580069867, 437460587, 446978551, 702583520, 292793273, 430833191, 473183850, 98421621, 985132218, 266514141, 448591185, 364988325, 925127307, 158368887, 519945413, 428833889, 900865042, 349748611, 846180951, 191550901, 904091929, 381363734, 286433212, 481302731, 4195519, 552892267, 98651957, 165271444, 143282317, 395862308, 557981135, 932240323, 511211359, 735545563, 996873242, 29478707, 87521820, 763189459, 667072482, 162578508, 854706103, 184646012, 891147707, 783790910, 528874106, 877535216, 527410088, 62485780, 875857166, 738122550, 160596556, 279844205, 290571470, 726791738, 179549095, 531408556, 996411131, 593195282, 27106194, 985279911, 918059058, 144463801, 147127737, 748535275, 886005506, 125500959, 591254245, 496754619, 575973760, 802260278, 200406460, 103433268, 230298400, 744948332, 803233456, 991680098, 400272203, 249695530, 832879214, 775918575, 760074250, 932411634, 591020691, 853969878, 761948056, 53629884, 487582934, 619335556, 444900737, 781252828, 332746508, 678107679, 750290247, 934029440, 490041258, 627899093, 820220512, 206413881, 786586577, 153641521, 598125327, 390394228, 299276859, 328992552, 124559755, 242189970, 641080965, 543094805, 324069343, 715465709, 719914738, 183712743, 75561158, 416218598, 5858903, 99646881, 578940937, 587018792, 275792673, 406952079, 136488714, 32389325, 562389175, 829554862, 88304306, 271536071, 276805940, 225148607, 311979651, 513163828, 938762483, 701971456, 718025051, 524163441, 201373878, 566762226, 493697577, 249702262, 167106337, 513340431, 271307670, 262813390, 471509161, 427814468, 75458777, 518536572, 575415913, 127654975, 972077645, 370764862, 531421890, 636300597, 10601968, 426306835, 591595304, 751980509, 335911543, 448536844, 19717366, 785296340, 117635603, 114992183, 223500417, 404160681, 749086733, 335599558, 689329048, 644731982, 330160272, 502144191, 832412682, 239378069, 258460129, 40473753, 362685657, 415773639, 683970980, 158336038, 714636048, 102404828, 485837534, 612009054, 640122922, 575595328, 106683393, 10956757, 335758513, 962629426, 47327849, 914666161, 671021581, 850154856, 8548262, 380743038, 301608244, 430243850, 806627096, 587342818, 407522376, 245294309, 945482463, 612881114, 18187243, 281975708, 257303067, 794306753, 155970207, 340345844, 400946170, 806353892, 544434500, 703897933, 442355185, 316581294, 684189408, 621938175, 208690508, 222799275, 554002812, 31883387, 532508137, 154575732, 424080798, 249136547, 467039511, 236867270, 681401980, 847246268, 851069138, 284281864, 981088812, 809649355, 308627605, 614907789, 861389527, 327657526, 736204679, 562074367, 97154324, 144242884, 677620782, 253993252, 6025289, 353517496, 559744377, 640464975, 660609842, 20854831, 548420541, 51549722, 525675310, 41115447, 120963189, 563180152, 492050967, 664735473, 534918277, 345073315, 187448148, 746965645, 553517931, 839936618, 264860851, 569074008, 6870573, 328639464, 989028437, 639571797, 548173522, 135303194, 980905590, 456443591, 535198172, 530395197, 446504348, 837047899, 686727657, 381449129, 519765706, 424540040, 645769820, 641105100, 290912226, 858791554, 461161802, 419304377, 295939139, 745756683, 33926579, 243059119, 159744542, 602487848, 665325109, 254126239, 416881944, 417750577, 320608170, 228128630, 634630498, 461835599, 342200366, 932479963, 229059220, 833856776, 305728100, 758270896, 967280027, 888729570, 727232250, 765122305, 613894713, 262476780, 449468217, 912232999, 329801062, 296478814, 677789495, 980224308, 363452725, 758379818, 127967386, 864865459, 346395180, 787707428, 227514078, 642885905, 396854655, 729704206, 817558011, 527100601, 740306444, 996170947, 233601668, 705242394, 283654216, 454724353, 811110123, 462434858, 720795391, 776023374, 457833189, 63924965, 608662744, 715858273, 77114085, 930955627, 491674796, 16553004, 398436237, 433617414, 349156562, 403964439, 169020562, 31156080, 11631660, 578166479, 223178570, 990322858, 580442947, 643283999, 536913077, 364292700, 989113098, 126195088, 921244843, 103170949, 68746741, 560853667, 224154570, 998754411, 220905780, 921576270, 233809208, 381853558, 525598085, 743925177, 189810516, 779291553, 218799119, 860777342, 329215468, 346253545, 430616151, 107475751, 215604253, 249689510, 269598529, 25447598, 265070263, 359921829, 967506062, 113258957, 974381912, 806381126, 153637704, 277696792, 741509397, 558247440, 232217984, 564885598, 512518870, 215980162, 657417215, 95778656, 769142300, 197522535, 886114993, 494023256, 785022369, 536841842, 278677087, 491608737, 970541356, 47348690, 370603830, 699763172, 540747851, 423995332, 734113964, 14396512, 52667651, 690773035, 337625602, 625781726, 292786570, 217408386, 800338199, 458857235, 669147255, 26939763, 909496679, 491305129, 503130192, 832770322, 643472559, 22342940, 666896579, 719438996, 290725257, 257387599, 987838991, 432704318, 173648766, 923441872, 545552338, 613708844, 361287576, 136583252, 347127690, 528320472, 39309720, 431411777, 953840021, 121353639, 523181065, 274440138, 92878385, 252479512, 571606185, 928965325, 206819983, 744141114, 49160443, 193051149, 195295084, 559538996, 558900427, 784578185, 708794649, 22566930, 1658474, 857655099, 161142916, 458743720, 567948807, 736328382, 843917922, 321065274, 286110666, 676491589, 83476410, 7561759, 394436957, 667132054, 699669436, 83498581, 535629695, 1003396, 783593553, 428403359, 739239164, 393360118, 336634708, 958260873, 350011959, 257723406, 636540669, 897895729, 471801083, 807832401, 464544422, 33917752, 722449611, 374291163, 979693551, 373438067, 166023636, 953426981, 758195381, 894822198, 748055246, 69502299, 848394258, 90693667, 92400176, 347452350, 919210414, 410731773, 370409206, 589525307, 667407201, 955113407, 379536235, 493618597, 476670661, 376240007, 302941060, 949041618, 590587344, 669354002, 161277984, 746257800, 502635238, 891755315, 566694337, 859529485, 133860971, 493616229, 65533227, 253706283, 236807158, 47821472, 820307622, 995642069, 600065452, 480836143, 545232435, 554366697, 800531889, 794730835, 357093859, 141173133, 859541168, 353520695, 923259519, 486303678, 487739786, 886695909, 208143405, 181845743, 482433343, 753503132, 55525497, 515161332, 494402842, 453162891, 484192428, 332967339, 418814566, 559922655, 245847877, 319457487, 534691871, 441725154, 707249620, 458593156, 594740326, 29842158, 503268762, 982678941, 470236719, 646586313, 520371112, 135948988, 131901277, 799315019, 532422495, 162177424, 450223498, 219021158, 633338566, 409995671, 251042217, 374116598, 305870230, 41289606, 918988421, 789451839, 200411390, 89134397, 688118932, 267757214, 494924471, 646928837, 339580765, 799589742, 596303909, 281061356, 365082586, 49125431, 174728824, 620270686, 931378709, 378420686, 938453360, 976270394, 856832556, 934048475, 40698145, 731613828, 572685620, 555286120, 818890520, 727879563, 60264097, 472907217, 953937854, 580565845, 28685611, 487084993, 215733288, 669972882, 268293848, 290797193, 585412677, 136392297, 831670960, 716304993, 670478175, 568082175, 778986465, 935574287, 374845911, 501285610, 122711572, 314328480, 513910248, 108254074, 760171417, 839298152, 880121563, 510230606, 951380107, 765966769, 699890560, 772966560, 81787297, 869136326, 842794636, 209985653, 117452552, 334817041, 147087135, 905750490, 827675286, 885212900, 667164858, 651763037, 594434906, 737413004, 22509993, 867788023, 782059099, 970204603, 617730144, 471105389, 919456919, 815585044, 317794022, 565666097, 593992655, 601519812, 822392030, 588028143, 919476851, 171845167, 17880208, 624792193, 430570554, 789452833, 554275354, 469704483, 474220676, 984689125, 966619797, 51817810, 36414847, 208026505, 600341889, 82762863, 783518376, 213506720, 201227710, 43316894, 463896783, 22362706, 508175351, 790139712, 845755385, 371513652, 943539140, 978812478, 641554998, 376700902, 955767574, 315505392, 330105210, 844028992, 10175356, 238337176, 59221089, 306415200, 58616633, 291297052, 30664793, 415172814, 910002497, 902615725, 756895577, 686904422, 519265120, 231588460, 466066535, 452661226, 7272133, 528926886, 751394918, 349636619, 867721053, 744812540, 612017067, 740043615, 985750229, 462722200, 628194217, 26728494, 595217683, 926347470, 395225331, 148719610, 18814504, 199525845, 972130268, 210862222, 798880081, 864862198, 502029878, 402310035, 117693298, 328714756, 910806271, 848830764, 410526852, 190819816, 889635554, 449399280, 629036783, 532892571, 290794443, 109691618, 52609812, 515022467, 322501662, 251299700, 112661557, 594534836, 397228264, 545458080, 989540775, 502878995, 869119763, 476973708, 378176745, 548668030, 155740986, 842677881, 450377676, 230898774, 21790045, 735071619, 550916841, 368587772, 56611091, 476044527, 409381692, 778821214, 267430067, 384887660, 260906913, 213804738, 731882011, 497487605, 196537277, 965668240, 996465171, 140168951, 598428497, 61822931, 928469206, 926326264, 583987943, 304871504, 327990, 785709283, 566225656, 232156099, 600241339, 217546863, 636532643, 254643112, 139217081, 814735335, 375095819, 573921663, 749487824, 384241906, 951825004, 580254433, 546244928, 159469428, 942621178, 594964873, 672573417, 97855911, 133807389, 667719641, 29728984, 689053488, 294601878, 190104108, 366615142, 217069600, 990121672, 186467773, 350118129, 649448637, 941380524, 100312232, 967825245, 498752143, 601943538, 310803571, 945092618, 763731090, 406605517, 644565329, 83685935, 926151759, 915578023, 111424391, 479248586, 905447680, 230477733, 222134779, 509024027, 784187129, 699047737, 941384679, 966925157, 17833904, 249007169, 583539467, 33724655, 439801859, 153519275, 116012107, 739941666, 253764574, 666938851, 973986636, 23748639, 962411779, 360033462, 552621249, 18595812, 784399321, 273617586, 809247218, 64204873, 324622318, 845163469, 161494491, 609321880, 930434159, 76759594, 993926631, 970464960, 277299552, 643489078, 172615413, 48775688, 250118529, 132987074, 300940795, 844978537, 210856472, 763068152, 582996834, 869758704, 376568278, 479688411, 547496618, 665518802, 356726800, 327727907, 659765929, 2029785, 758283244, 706510360, 758379690, 616154705, 149235997, 513114784, 889966778, 379639680, 926238919, 484645628, 670675406, 529704705, 774782951, 964744380, 188849972, 60575375, 490126840, 537279510, 663148738, 149735413, 724831019, 331535126, 672990817, 950781634, 759222357, 525764563, 169769276, 509285114, 765449167, 314211041, 718838904, 913969050, 494116362, 691130555, 321550074, 945938054, 748582182, 443682829, 623689884, 755313340, 21360135, 41429208, 385731778, 338420922, 580810768, 264377939, 229467291, 211232914, 189100853, 247092129, 713007500, 585025406, 860002389, 930615396, 923734627, 649783886, 910443228, 558553237, 617411944, 116267811, 311866208, 24546636, 436670695, 65636298, 795143474, 658584852, 491885659, 293394219, 727727581, 870285845, 278915864, 268605831, 37571457, 462083964, 852296455, 887197094, 193495693, 469518771, 933340458, 430706535, 477110114, 721549524, 663014381, 504150067, 537127631, 140222264, 509899521, 419634345, 192941772, 219457847, 284302207, 343699027, 448769754, 614027384, 173163652, 767220256, 831544556, 157970756, 364286611, 142146433, 840047777, 14427812, 646002346, 285834822, 184094831, 766736701, 272791729, 810705803, 378452386, 222649938, 710718341, 986112926, 140321004, 537238975, 504336669, 72847476, 109427532, 846334207, 224810003, 957171669, 804443442, 805229114, 891596815, 696977696, 661493364, 13384778, 570025428, 854567683, 731473367, 55928216, 851151867, 424536364, 602075818, 306584352, 963960675, 808040872, 12490266, 279230478, 453947682, 694674583, 11063580, 680823863, 908976343, 320518728, 923916749, 510011909, 902201008, 749404354, 221573102, 382719190, 83851702, 597874906, 247560720, 658936094, 929569620, 654357797, 418009583, 35680164, 112415477, 523126018, 757982355, 889125076, 970591172, 617168466, 270086742, 816911764, 236912382, 286675919, 945961509, 427224024, 637046, 103576112, 474757585, 509841607, 208946773, 106296307, 945650717, 660477017, 408374865, 347742958, 395510259, 718541505, 889880386, 357725889, 559788706, 367677895, 281732207, 913245579, 861918319, 874819081, 411115758, 423755800, 393544376, 389675648, 532920437, 135631617, 241422292, 998049972, 133844875, 61417756, 409438423, 495655286, 303660893, 752018986, 474923059, 527048704, 8971310, 151306942, 383156107, 361989352, 647656738, 670283352, 611275336, 284965676, 422318172, 321078729, 379045395, 718506565, 906703071, 231441169, 944658162, 394898853, 162092555, 141648609, 725442738, 95147900, 14752664, 745054936, 479121754, 144728882, 767842091, 659533039, 592325330, 635489370, 203016479, 848652963, 517692353, 998398584, 180313171, 893167716, 795723006, 377234247, 437714679, 374742002, 749130904, 665317784, 231864254, 548103274, 786989651, 669334145, 435511449, 361544391, 138729962, 831001299, 713358479, 458845172, 336730110, 560956719, 4368137, 944888759, 879312629, 754979861, 560683455, 107737458, 38786378, 413544315, 362926480, 901049425, 230574760, 664479294, 45744646, 237468601, 441054150, 972248305, 91543086, 11927, 552522826, 578742482, 92400332, 890317396, 79139378, 833181305, 848684788, 818702263, 925299194, 542232153, 993497169, 536860117, 164347090, 895539723, 215431099, 485733081, 159321500, 134036926, 98710710, 597903204, 665605068, 306277888, 353742050, 207944063, 695589741, 973741448, 533154305, 151258960, 900628860, 519847076, 896791159, 269134433, 838952902, 98276589, 530614856, 304664973, 142611287, 329634222, 281685474, 334723767, 567570130, 17559916, 796604144, 387613465, 637653640, 134530189, 279975254, 39569695, 195597991, 192090521, 56790537, 238930389, 968029461, 488129092, 721973771, 29851019, 337401033, 701116115, 880185188, 227479655, 188598375, 117416485, 708333230, 642618056, 591262259, 43558589, 767834111, 890553272, 272987324, 626641231, 399423798, 826794141, 612766293, 743317575, 479652327, 800353248, 873638524, 169744882, 58397258, 272493710, 138601237, 386222516, 646534027, 377734159, 423388558, 656827639, 145186265, 522464209, 188313164, 373205213, 46148603, 896566323, 812558171, 744546532, 839844492, 611463497, 477211938, 518459775, 741860713, 979168240, 975551666, 770570007, 830085493, 261135974, 632441934, 891740875, 939468974, 477488721, 372977196, 361733315, 720997488, 966537899, 381437790, 568443198, 236180626, 677093096, 132176825, 823893213, 818629392, 266410941, 272962160, 806068499, 401563012, 415651999, 115405728, 560008132, 227045755, 876128066, 14738356, 835495550, 297824662, 487310989, 765296184, 518440698, 179222182, 990697711, 21410854, 480755417, 865375019, 983256748, 365575950, 946130114, 479012649, 582265172, 463727373, 563726294, 650900170, 99186949, 268162793, 496167357, 830133919, 749724257, 882643362, 21283316, 689045735, 510948863, 137551922, 549156927, 980421183, 427016897, 276179971, 195704352, 979919690, 962218664, 742920496, 26743542, 922518693, 574189925, 873946758, 526132876, 497233054, 217613592, 935662050, 428452335, 270179849, 903320767, 759343266, 524727516, 288840428, 631419482, 283649508, 85522081, 770253355, 89057574, 174975710, 957861275, 850704683, 679973727, 258227489, 999315495, 105533171, 525425290, 879511583, 922069239, 843736750, 398838206, 828429713, 98775569, 452716714, 35842050, 118029577, 973168766, 141005198, 737720969, 939599661, 622831654, 78291869, 236606447, 990301563, 220906085, 273731621, 725960930, 241498981, 537978299, 619887838, 105230345, 937665486, 596251955, 381137824, 374890135, 891959301, 118844865, 273793483, 172840757, 111855393, 79270840, 542217030, 21733198, 433628153, 293645949, 858496617, 976721846, 361560207, 934837590, 756481231, 631038316, 803358065, 677914072, 457374031, 920900106, 176628335, 805423954, 432223663, 610579950, 459363790, 605550436, 784606393, 153097890, 725010502, 118745250, 909204593, 892850587, 80909589, 788748960, 415640914, 281166572, 382928017, 306153084, 413867579, 433358556, 593781530, 106523606, 489749905, 62200336, 501634061, 32364715, 96305290, 407363922, 461844301, 142271701, 870231731, 365516500, 24106864, 479674890, 905757297, 568489860, 755565484, 922835009, 266127445, 631288273, 570580524, 238913433, 575872979, 639576047, 54026938, 477460212, 129356508, 355469111, 919597606, 56660258, 258099899, 355705461, 702234024, 809831991, 797922542, 641834118, 709930230, 679749666, 563187909, 274357853, 855256434, 546511463, 797547933, 94924700, 490769508, 468297469, 899795600, 810395809, 784737022, 175256197, 247777336, 752408599, 302749753, 105549169, 140309362, 471785137, 320527529, 715787741, 943261856, 716798875, 779523081, 624476641, 942756131, 864634391, 905830966, 910047443, 881134643, 902175733, 744276511, 974942756, 826825703, 283586679, 41294761, 689916880, 767271409, 411808650, 484714520, 702280061, 630482722, 787267134, 735140545, 994705068, 636697958, 777711061, 821860466, 221440957, 46675500, 378607586, 740831369, 219616098, 695696308, 275718862, 251860664, 787403788, 926337216, 529240834, 361006608, 161256348, 947255357, 210156916, 531048685, 280602120, 85631293, 164332609, 491671827, 32584425, 457400557, 273801837, 54832978, 228444713, 490702953, 884897604, 481442817, 790589987, 986151172, 595941468, 141185314, 681897187, 584701437, 296381142, 200167402, 369732872, 447500322, 831136961, 924203439, 402286836, 744426551, 191990823, 238029315, 587597082, 166424913, 502165943, 738094722, 84361831, 431658411, 843290875, 109739232, 339509208, 755908494, 736758789, 939177160, 746811418, 184439385, 677729302, 735249405, 983287925, 455589581, 28721371, 934716939, 809160027, 178684201, 591569359, 72227774, 414086582, 672950844, 590618498, 915333485, 143785652, 281872314, 508744919, 930789719, 551429932, 992785643, 57182443, 382013811, 826542080, 153570096, 101322950, 463491442, 718728628, 976692064, 453849533, 806815613, 965177438, 322593593, 575155798, 245006630, 988361576, 459273387, 913109262, 599389137, 773333106, 984935937, 284959568, 257682124, 720778014, 38212218, 455404066, 77517455, 744545743, 217961975, 947759546, 744460523, 957255302, 35695703, 826125774, 88671210, 533635593, 718950876, 895066446, 365630843, 905086148, 628935763, 4631107, 647133016, 140279867, 31952915, 264411825, 769066519, 298317953, 886131983, 946090751, 568643297, 500057392, 554107893, 502484857, 799154132, 475590910, 82339673, 147599839, 447078165, 276319535, 801569245, 771273750, 825089630, 164387885, 284232865, 339873039, 815802189, 925203957, 107839803, 842972266, 626848857, 293384103, 170658954, 593560565, 353484347, 135454013, 734844015, 556675567, 384590032, 221920401, 245837901, 606001590, 32304982, 234876638, 739567046, 28796140, 834155212, 531177594, 872913733, 437744482, 279928302, 165450163, 639408910, 35608146, 997548215, 822992300, 906783002, 558471464, 289885174, 986492372, 993999323, 790148532, 335371663, 683112017, 375342730, 802987386, 954969560, 350781591, 158455790, 624939618, 550533706, 239558631, 120479582, 153120967, 928841128, 31954369, 997946090, 64557780, 940553446, 147395378, 273092044, 110108893, 887274585, 419526106, 674550421, 988907203, 976738315, 15031637, 533422278, 225339961, 606734768, 838292, 8660567, 822371356, 85011495, 263607445, 931264064, 730494340, 582107241, 926294136, 283950553, 88636685, 149844030, 550563657, 588521614, 413953351, 632069071, 702492888, 734806333, 107605117, 904969311, 568794282, 4342232, 627356903, 960697756, 504958458, 972786116, 953489566, 97994974, 371140059, 908011844, 446535636, 580419653, 208162617, 58426075, 799776526, 275862432, 405959509, 204158122, 24193359, 735541836, 361255965, 772309028, 251125455, 645555606, 806725182, 440357926, 462242447, 620204381, 696114010, 771134103, 439416988, 449259325, 996392481, 426875698, 989529152, 984609019, 225039737, 450070620, 541349373, 146660517, 560948528, 202193006, 605504965, 433570311, 981219733, 463067182, 414406799, 402496840, 197525727, 845470448, 960215043, 976013632, 347749221, 7832615, 888514034, 401355236, 71454391, 379242118, 58575076, 494293981, 163490396, 420166645, 28840099, 584303209, 908413879, 930804402, 813237151, 709635930, 518085426, 341272518, 727011117, 620086647, 926981555, 548132283, 997495448, 430167469, 529746461, 194841680, 553921192, 148491427, 304485892, 403853084, 751994342, 789432055, 539433698, 774391191, 526910052, 499936311, 589724811, 562451765, 716055892, 400121793, 876909716, 638612597, 738496090, 658232748, 709044964, 584394734, 73445006, 62695237, 481908379, 67915421, 966326092, 518678795, 197502391, 972317565, 769930308, 479686415, 131961243, 634577713, 74944669, 661121529, 564742788, 628032639, 8904632, 950950116, 924355063, 135148278, 29517632, 742368081, 733238486, 949205280, 839777220, 361603062, 332499204, 890597028, 644942321, 186511327, 654239807, 301589696, 509894179, 600119589, 357887841, 789663226, 375779707, 940336648, 22717935, 525564071, 612772175, 923468565, 453823195, 61052342, 315597986, 299283037, 9588177, 967004897, 100724143, 583510676, 104058218, 645094791, 752058765, 818969302, 870568131, 87979016, 37320146, 247706437, 264964380, 123931146, 499878442, 856473128, 211628087, 762335758, 804609066, 688599383, 566343777, 285094767, 903412305, 163629874, 874357948, 612730832, 713006780, 194899794, 686172279, 809603289, 396042314, 940149556, 929146400, 728282788, 197685596, 806180509, 503921665, 156132379, 737718307, 686309526, 856083804, 311859508, 203224394, 614838037, 112704401, 212395402, 291670413, 762519510, 609064416, 232025685, 28982905, 593623368, 433774842, 673624994, 998207184, 360364804, 133100159, 458200314, 126175741, 836562602, 822676436, 476191260, 839373264, 538697934, 32271369, 663932491, 988882973, 934882796, 55707082, 29885845, 982593833, 476307175, 282664770, 342968039, 908898870, 646072495, 321673798, 859096147, 864121111, 444009687, 709924967, 380140635, 220035711, 251547890, 103058070, 612221614, 899254297, 216218105, 918045501, 232398178, 216318640, 259257735, 724184883, 126872081, 755438899, 364078417, 986454146, 169649200, 11241696, 530207972, 39419559, 550851254, 49610127, 765830459, 17365399, 966894136, 161264924, 208892264, 535734633, 930463030, 752474668, 476102423, 150578552, 870797888, 892963753, 494536397, 129337377, 650153735, 435281475, 716848874, 242533770, 616472135, 340768870, 777185537, 485621659, 450798339, 642773810, 586556003, 435187390, 448133307, 202057119, 627338570, 788464786, 660911126, 241179721, 297345032, 938059564, 133678444, 837850730, 164118144, 155616792, 635837539, 659202165, 201039770, 74183794, 814678137, 678338020, 488925612, 792253184, 509054358, 650280058, 636269820, 699204243, 358442280, 92663399, 174277328, 55964400, 568069744, 54532530, 526215913, 527507133, 361907885, 25560523, 800853600, 616386763, 51802162, 600533093, 185689471, 660796145, 263177782, 989485795, 943753929, 174884373, 853070846, 396050245, 269056211, 182411750, 320438005, 652592676, 232076869, 226803802, 892368227, 655156263, 921823635, 887406869, 106221200, 822866770, 745946743, 586568401, 400702181, 70664067, 306327330, 973490363, 454727195, 116661139, 319602627, 107133411, 223420591, 260074421, 335187437, 410657122, 590807435, 151356429, 335564854, 690971465, 977455332, 73443699, 395063604, 797822868, 823850535, 926897372, 454045327, 367602742, 842691637, 6094501, 496135319, 109827638, 127216858, 611273753, 128077707, 239136647, 198369220, 94049803, 63956317, 625949814, 313960696, 172624382, 946037105, 445386803, 39185309, 286074028, 601948763, 306252981, 936712260, 280413824, 359082366, 148415062, 287722630, 386436693, 185305015, 384084794, 537579327, 781891466, 228850146, 353907264, 444627385, 776259435, 571949879, 318934377, 548926459, 292248020, 354321504, 15025208, 350770579, 243669233, 137468510, 169496390, 475876027, 278263915, 179809805, 159326409, 262224615, 484326558, 310899452, 516789285, 512446664, 341216767, 768210809, 295798785, 816363071, 283596364, 407013625, 282918575, 411874786, 695389639, 727522877, 622653103, 418049736, 366073728, 105309032, 282585850, 857220055, 678747716, 664803151, 175238497, 798076282, 443252581, 706613184, 178336988, 355955994, 912819946, 330893901, 186695774, 879662438, 937969145, 528581474, 598025984, 63056396, 559880910, 243889138, 808496698, 665968599, 23602464, 118351448, 641554690, 927351532, 427990498, 740834412, 135653792, 359321807, 432450187, 302988759, 820572299, 731572669, 854985956, 813038127, 355932578, 644922842, 377170534, 334636176, 435934834, 391163344, 763582739, 100108695, 167272603, 941428058, 549382591, 565480692, 954997232, 290493739, 854313133, 589888192, 577092180, 701713645, 551622774, 266556521, 424320387, 737856411, 183937786, 540994566, 677102985, 696045708, 274992004, 688481558, 292403564, 20817796, 77686097, 552486375, 358370582, 548139279, 26891279, 102735319, 817974352, 208343405, 467546689, 812313038, 409678333, 514209002, 481617201, 99484323, 818351839, 657703414, 285990300, 536802194, 814125697, 25429512, 862838178, 577219675, 975611117, 472465628, 152949436, 752580535, 908756264, 189675796, 423913093, 174480635, 949538032, 894073807, 656476663, 876561512, 767969539, 799999878, 619316141, 849936921, 276401452, 74564172, 97968155, 702759854, 901552618, 752103650, 78997552, 923052854, 61550013, 194937251, 514569591, 906164829, 880767846, 919269943, 989507659, 931462348, 689403757, 975302133, 421596376, 622306600, 644570566, 600326262, 954062444, 844995687, 380935345, 763663687, 463236632, 91950038, 270485434, 355159312, 694510925, 173513212, 383038458, 308038774, 71857651, 746093738, 271123068, 125039933, 727919384, 857405992, 676624943, 729715367, 298923256, 503245401, 521464834, 400282037, 192989248, 767425172, 449371642, 828493532, 738721465, 646086209, 583945617, 470541828, 597215719, 320013899, 285351193, 126369676, 426225922, 45893792, 881946063, 858284074, 890016645, 22425984, 341468163, 179545350, 908039901, 670198643, 559861036, 870893816, 824453936, 906192115, 157837427, 498863265, 104357862, 825126819, 426123638, 829706128, 515743643, 617959154, 166335254, 558903599, 238655931, 471321087, 103281598, 758059999, 327260517, 556525134, 326304615, 744759426, 462497538, 896184216, 42065996, 80214749, 680579904, 298538394, 266837708, 418368483, 264243682, 872532335, 735272507, 824496959, 627504783, 996853368, 895787704, 232548927, 548977925, 98373025, 928220986, 271290140, 978614153, 381355383, 909760910, 635209421, 787171490, 782129049, 431260181, 479925113, 520099036, 465668665, 613794658, 534031413, 952029124, 893528156, 330614951, 682217401, 954870478, 945262577, 17914692, 328027219, 505523406, 312145825, 956090326, 213403197, 472284357, 833029612, 820966572, 609327461, 860401113, 652578122, 569016493, 242277877, 134957207, 798014697, 628606534, 588275361, 929598381, 406707886, 536645119, 502871531, 886687973, 571238957, 396553443, 410551303, 373585812, 40467733, 660503036, 373469199, 883156138, 24444696, 14343521, 32731802, 194379054, 629748943, 631234281, 350407986, 124573214, 746158369, 95855683, 164761226, 872106048, 927695689, 450565314, 750192619, 838536312, 16399434, 926064518, 533133472, 784139213, 328037426, 355030143, 835047383, 822033296, 249863789, 697521467, 785210219, 16782726, 443575687, 65725778, 748115742, 958261896, 314628946, 119843165, 449055586, 206738301, 961719088, 124823040, 465864915, 140080928, 354608092, 338490898, 902427822, 588435035, 629579245, 204450611, 357738700, 312280529, 598709147, 821763540, 516254241, 989428455, 641067861, 532055610, 957692474, 746907724, 960800271, 149025734, 79619970, 924938494, 6730276, 723325275, 419967768, 962827997, 435367316, 376458383, 686777476, 595319800, 528613235, 942932089, 417025485, 61866611, 339876359, 768344221, 199957588, 832797919, 719885484, 832678617, 859615839, 609494910, 689404800, 918581932, 148958446, 696048031, 433420478, 954899226, 470488776, 79101227, 541655506, 356188394, 752671826, 655082094, 65769158, 15549514, 381577046, 507178852, 18901887, 830397375, 923111106, 706380208, 762098988, 205027270, 795223516, 623590896, 415965904, 203413196, 258338311, 936215215, 549121621, 602700223, 160685991, 448119073, 933255086, 836436681, 196594539, 124916436, 551720534, 893830769, 486315031, 367203418, 929807419, 928153592, 451056222, 957929040, 574162765, 236804866, 261826425, 644798192, 929970819, 151919666, 611792348, 851130159, 868810581, 499177939, 301241173, 812959570, 595201383, 62592181, 763677515, 209496944, 548633307, 869421463, 741097334, 525546018, 101297920, 235267808, 524839331, 421506225, 549119334, 470272642, 489472945, 697697418, 939552693, 328638934, 225102798, 645710536, 387539296, 243847021, 471519735, 374543436, 35943049, 11194791, 374325968, 118587236, 435320895, 171940171, 644643891, 572561370, 461259663, 643449093, 783573435, 209880031, 278289854, 188972882, 458965611, 686699526, 606712019, 789626625, 909735396, 132999253, 995779846, 483356458, 321006989, 274954582, 147578193, 489817116, 128493388, 958994414, 865281307, 40236474, 771436149, 684767681, 39067491, 883756780, 743393616, 849346971, 928692182, 249200140, 396319169, 70168429, 60445216, 109712197, 554147430, 988267550, 414923331, 939376894, 36157983, 483782246, 338022201, 546066413, 313167505, 622555624, 261062178, 973213072, 327312500, 56201777, 838640798, 27256065, 116789882, 922135658, 167116290, 585525370, 409834532, 180671629, 941929440, 194029881, 981348536, 470168818, 169049639, 949248555, 803182918, 554312037, 550067259, 962226158, 881521878, 514454254, 15255960, 492611715, 208026466, 504479369, 553681771, 981391614, 70850243, 253962440, 413036223, 227234892, 318405782, 294871312, 5094009, 377157778, 339098422, 32377339, 555624420, 192285486, 777354708, 276864234, 8651590, 209653074, 498673805, 497156124, 429144614, 802648006, 326138982, 531922725, 323562457, 906741401, 302269423, 921077832, 788858278, 492613703, 829187309, 968449474, 193186826, 748608301, 612511521, 760387975, 999159174, 450460171, 143902818, 507301652, 199306022, 857867198, 26043779, 168930178, 181048493, 992346597, 281012009, 771569052, 655431543, 106670504, 267060691, 169523044, 360461580, 666550409, 424722584, 819169889, 541012736, 709466377, 192409521, 230354518, 392104663, 519401720, 140113606, 409225640, 577178657, 740928336, 501387159, 376373984, 948366015, 366078451, 784466729, 423931329, 111234821, 219217298, 442017735, 133691805, 675673342, 252318313, 179745972, 647717759, 408068442, 358781164, 648649975, 355981891, 172126140, 713004331, 175330501, 933828881, 22735789, 820420542, 314322736, 752289981, 641534257, 546088561, 424456971, 120781032, 947976700, 558906522, 999428364, 371937091, 357629777, 377122899, 868448179, 61434205, 374286420, 478270702, 512729462, 31705283, 963013678, 168588829, 285363403, 13053810, 71927829, 121180713, 121620039, 68730610, 988623163, 237510432, 19688737, 454995240, 457403883, 469207434, 935985351, 187013479, 351740068, 461254745, 221929577, 735786757, 714822057, 968471472, 663575475, 845627953, 934031625, 756944584, 816043547, 804913447, 528122377, 385951944, 690741363, 34184887, 633960331, 839778496, 319951885, 526192181, 34034976, 141202508, 832197737, 156088688, 951810415, 94751249, 968730466, 920352279, 451360918, 662936542, 263804611, 977554912, 736693519, 64820343, 789725966, 7527990, 160139329, 701796456, 857205580, 93692880, 152023705, 391784388, 82448441, 679325593, 598715486, 302540995, 295324435, 781210339, 913820301, 596312402, 797617039, 773831676, 181761495, 215346836, 39585869, 331582982, 670453167, 206330460, 455123197, 670199697, 850530762, 85663600, 299042447, 898195524, 334340242, 493585836, 400608547, 345300840, 656556222, 156928545, 84999832, 320527436, 906368981, 591944920, 763613707, 853434713, 979567972, 428763138, 813144647, 607316218, 655480494, 137983575, 51458205, 890057688, 342175191, 123265745, 703257766, 907612371, 816522445, 296210123, 591445418, 561204915, 90754866, 582337724, 520087789, 578100215, 251247209, 329640413, 86480908, 792609633, 304709024, 47505186, 960228053, 554192028, 987559207, 692564399, 757361052, 199885868, 321794513, 978067179, 521803938, 741156864, 606172754, 620743038, 553046788, 18997327, 389548889, 44906582, 282797353, 517524849, 546995292, 485445179, 242554365, 401011110, 704796703, 761146593, 735868278, 157914180, 289676715, 945517992, 173377977, 855993964, 662793810, 699407766, 412292421, 128437859, 985297569, 531886083, 236280385, 559064456, 835172486, 233110169, 3708506, 765033976, 967125697, 353730643, 857201067, 792339690, 595433695, 818580559, 96128863, 119532653, 190202692, 550829687, 360468632, 627595048, 796613824, 62161591, 895655258, 778500701, 935187448, 945284864, 917181945, 377995330, 452237408, 534523926, 612310511, 425367337, 102875129, 51875025, 813890505, 556517589, 840068639, 544480794, 893190121, 416775537, 175848771, 31188513, 573104595, 61460804, 75470072, 465562719, 709677039, 48424949, 521719482, 365482480, 671310905, 388040490, 601766641, 602873061, 853429919, 213056060, 526450032, 963774318, 583723779, 896845796, 2269049, 252468999, 144076620, 678410678, 429667684, 469972896, 314235413, 117357464, 964406724, 254263986, 724167753, 965154224, 259232339, 335530799, 240500950, 392807355, 862896669, 549600586, 206682987, 339563802, 86719201, 347106601, 265058247, 770750247, 668404506, 1302834, 710146653, 463091504, 338785345, 552942903, 531649421, 947205023, 837917477, 935524784, 51369298, 175900171, 243320090, 53906707, 103064926, 585917522, 405534173, 537747202, 351131740, 736135647, 523314813, 448684839, 661002186, 606738893, 289777473, 363638512, 727942886, 291995589, 339441712, 939169892, 14766695, 11538415, 893724060, 746605776, 560248052, 292420216, 341935251, 273958093, 347480008, 988157651, 456946966, 772191256, 938037438, 107434455, 59264509, 1412577, 366958711, 119048317, 543093730, 455692189, 942297579, 378571216, 578364541, 539712166, 130481846, 589516871, 73946440, 433026240, 378896190, 487776439, 300665697, 937953080, 342333569, 594760321, 745349413, 492076070, 445053551, 167296825, 407201005, 852217234, 910928006, 824523780, 503987484, 928901826, 443999300, 600687159, 603592115, 872093260, 97716006, 623758232, 857600726, 782047047, 299033898, 397439298, 76523667, 700666028, 698102902, 306239488, 365035878, 998365535, 829140590, 776072265, 165997176, 815797309, 373169059, 203006103, 546637349, 326515286, 201641629, 883563390, 101255312, 785615572, 62157233, 425914784, 201084312, 338754009, 423605622, 737469188, 49096139, 508873041, 89550379, 64057218, 287633385, 608782147, 908354699, 900226239, 283012632, 818002079, 577695851, 738819514, 380768743, 889426305, 113312602, 183462870, 990091472, 318736220, 336120134, 700419549, 973448103, 665925106, 331763740, 809133672, 241614740, 788458132, 324680122, 678919336, 145094424, 141976011, 279869582, 935195597, 552329571, 798464396, 816386821, 638770925, 446865613, 655054562, 478009436, 479889820, 319574280, 780900242, 623210025, 935309130, 495489452, 787431851, 951965550, 655754496, 477580840, 580269070, 707325191, 725858698, 465427862, 702275427, 792697225, 108327737, 289220038, 178107251, 54092192, 798802845, 300811173, 206002245, 529673902, 766676481, 168911559, 90566062, 175342467, 498003489, 401350015, 133560733, 834512606, 158521994, 21521843, 542315922, 64013406, 620233383, 90866410, 118143683, 494305119, 838416744, 69657109, 145682026, 968769286, 659532096, 472082115, 587277305, 886494973, 846144339, 794033486, 606209853, 749218231, 513147722, 346672921, 245394218, 145207274, 334956082, 703282032, 35958445, 939978533, 475240302, 244118342, 355189224, 173712017, 814732270, 272392005, 182199750, 345850727, 573307790, 561584501, 748824517, 727964513, 97351620, 728162551, 668184771, 618383624, 794601287, 988925042, 830211680, 67538047, 505691619, 769572284, 739993950, 5454470, 323443370, 724080686, 78919114, 230105437, 542527526, 687977992, 234206836, 406194093, 231072487, 684190202, 549368485, 903346305, 470882842, 592303633, 33814667, 924268184, 337904102, 237070675, 485621425, 415923114, 324166410, 94979200, 949318106, 825580051, 142871654, 312215101, 10304307, 196535439, 787207220, 33970901, 849007875, 719730762, 601372916, 335705646, 873579088, 96474664, 216434804, 91297251, 338386842, 723880361, 673075959, 999421373, 576754794, 21029531, 566644208, 556352230, 547441190, 273298476, 647156109, 822198117, 236022289, 262383570, 69381420, 925418353, 290039063, 934824645, 149203821, 861917893, 435766839, 461484261, 298969804, 118964298, 609262461, 445988105, 841111434, 944061356, 136761534, 758254115, 874830416, 259520996, 572434377, 80237153, 137613057, 508661901, 596906063, 288625518, 852455550, 585185988, 318639366, 38618940, 495758611, 771051908, 986565100, 494743622, 402641661, 529729126, 980119887, 175297976, 681283390, 992055996, 694320940, 682603420, 468332395, 572895670, 130755835, 385177459, 980326328, 545491748, 697432787, 389391314, 853617496, 591687230, 730559996, 515352452, 339358372, 181876507, 873639601, 685458095, 60378683, 151716532, 804031254, 929296874, 805861511, 634521568, 376184587, 441480147, 233189354, 330937499, 238075567, 582375507, 63634045, 435396649, 642305663, 746292732, 812880526, 81243520, 859121868, 281838235, 561978072, 574985577, 39521568, 319019055, 79721561, 714788452, 602736952, 916737450, 288560714, 74913038, 383163458, 20619999, 494337542, 907710667, 225903719, 784253078, 204503260, 776853189, 893678739, 809504488, 826087543, 266742820, 320940660, 472065965, 632641423, 379172935, 925472029, 621307016, 642479569, 631672797, 105009695, 342843046, 3657261, 674843539, 778115923, 768009317, 710430408, 476297389, 709148378, 670953081, 392487760, 456112714, 984914467, 410041816, 773307486, 184207706, 508308726, 81872751, 953170244, 252569377, 906779193, 261654788, 537703084, 480666618, 945807470, 836237623, 437006516, 15052906, 369133355, 926442180, 838220221, 592067183, 832239613, 412803475, 120355233, 825762129, 917783535, 607410638, 474638640, 88617320, 976052548, 490649132, 141110987, 572712600, 215653652, 57617493, 172646307, 128766755, 787593049, 39609334, 451789129, 967692130, 762643792, 641657192, 821596331, 564980981, 999217600, 771165193, 849349519, 813308134, 171516977, 765259346, 659792232, 63375530, 800599387, 142169528, 638264627, 418387494, 243674477, 42334750, 505013259, 504772946, 286817315, 40223755, 983991858, 533512389, 829843367, 334141387, 307096248, 603687225, 685119941, 413792952, 728140537, 679749184, 862367694, 159816315, 778060195, 519535952, 901534093, 598724129, 522379160, 743454577, 446691266, 871478715, 629243115, 105753523, 974983961, 174407029, 941724876, 335202142, 797333148, 935132209, 390999439, 45867411, 888839692, 167250547, 496418167, 775531055, 950093449, 39277141, 340009971, 783579683, 654302854, 906986237, 995807077, 623788955, 144014188, 201834783, 596453959, 806412645, 765730179, 261084986, 861304315, 848950676, 324892812, 224099933, 215095843, 304551796, 159744427, 552955473, 910694406, 891591884, 132749487, 496607857, 593163343, 960716923, 969355375, 893994172, 219044883, 99039714, 433568248, 585378588, 672398866, 638912695, 343812858, 293722892, 649047214, 897496735, 416848980, 942222214, 452385489, 960896243, 346160497, 932327570, 99531099, 578733304, 452940817, 225013567, 269941509, 583783852, 317824248, 314955605, 676232120, 605363914, 167500525, 957236163, 656952502, 717337601, 905618038, 644335463, 198336793, 403716423, 767194663, 683630389, 710002945, 393330327, 113356052, 634682377, 221141422, 105733829, 333223050, 644208839, 316758182, 942132587, 666393027, 477754373, 680030421, 918273517, 213745713, 585920670, 576406784, 414217584, 770544890, 411402260, 697882424, 923080893, 214070769, 329659785, 8600408, 34841030, 5227776, 750130888, 211024655, 22839326, 287987524, 67294957, 70697461, 872715679, 495961757, 946239955, 951110700, 635692265, 638733275, 523034547, 270170060, 176176685, 464868997, 207747432, 384114607, 213360192, 981343103, 989411978, 233422641, 52743857, 266265581, 882385364, 373901795, 442754959, 712637475, 942717089, 436979741, 119973885, 518232031, 361787235, 865114612, 669324901, 722184178, 449407700, 926770376, 239135421, 646863344, 647424430, 199929780, 630678664, 730753813, 669606316, 941728093, 289220509, 961730804, 221118303, 191606279, 540519488, 911549861, 651201851, 248220506, 592002144, 700251091, 676149078, 765059241, 447163597, 698128332, 441675287, 524887240, 362660747, 818686551, 311135748, 572118866, 50348120, 375027109, 129060903, 188204331, 401495535, 548402737, 597909772, 154738593, 501978247, 75497922, 531125509, 522424763, 387120410, 80991319, 145992817, 414911864, 908415508, 604818991, 671971133, 257887476, 580614800, 256081929, 465767796, 336666592, 619264450, 978377566, 331410846, 776757454, 112378559, 353723463, 537086039, 340475233, 426551119, 870871743, 792042357, 446693688, 699308152, 397090404, 917368509, 123244638, 709271821, 31317846, 778768114, 193436130, 319754581, 688152158, 42907572, 276374555, 684901691, 599749199, 198999352, 643635748, 905971109, 497426910, 541316160, 423172950, 382308075, 472653752, 401270869, 263917611, 108112938, 116119988, 92030357, 448961697, 475933273, 635576191, 706529205, 913815188, 97026737, 298105391, 200630330, 563974127, 665894228, 771789930, 335189091, 932675460, 245109190, 954144590, 111764029, 87259038, 927270956, 577332967, 961293261, 877446777, 221786662, 995889637, 103046914, 13374837, 9951030, 78193920, 222070476, 788706335, 998681924, 991560456, 236265923, 87801365, 988850730, 931459995, 355482124, 718476829, 266259213, 756577433, 465105046, 359645455, 7659797, 535226398, 334631435, 108721311, 177128296, 144683452, 5605871, 897872379, 309475626, 886083578, 614884048, 574891095, 930870716, 497803592, 665001558, 598008696, 871707146, 404867185, 719113143, 394559664, 855735751, 476335461, 443167010, 808904222, 771331144, 336600897, 354682543, 139017524, 526638542, 388088256, 931166137, 671239029, 314680981, 789009685, 882633555, 443120402, 418636548, 575602291, 376119951, 147359313, 524979928, 585843505, 979484570, 173995122, 411490488, 381434216, 996802045, 324286182, 56114924, 156392706, 236585398, 387106833, 627964805, 89776524, 222703108, 576013674, 427946340, 571834139, 640990276, 20479070, 287393434, 263630620, 443073543, 267257563, 930163418, 207263299, 88584343, 933860925, 164594583, 655490408, 779857460, 35422972, 545424208, 411077519, 730079621, 602406179, 633752343, 100392185, 790381015, 781077979, 388130139, 899292607, 246679037, 463359007, 168183311, 343019612, 251038146, 401698784, 954485658, 468434864, 937246231, 368753760, 622357520, 123194228, 306226315, 204593728, 920651185, 511561748, 429885517, 621160493, 160451437, 550463504, 418186155, 372071083, 260248888, 5494280, 95451107, 665254658, 569771685, 169082994, 627733508, 703560845, 558644009, 124999435, 685806424, 944595738, 300114459, 439703411, 383200646, 30560137, 188832866, 477974859, 248477500, 611107312, 163782526, 71611869, 411667841, 138824377, 513343085, 342433968, 439895397, 449459063, 595597073, 780612645, 138528734, 647465383, 500714889, 283807455, 593745869, 652790020, 503244154, 935605403, 105152606, 355177408, 684886492, 58578783, 309323166, 261004854, 642381128, 229195082, 717289808, 120409039, 349882190, 507555872, 319327843, 150760517, 331732418, 421111333, 895742259, 207763607, 824576537, 915937807, 739597646, 44938763, 696800601, 508095499, 901773323, 329665174, 867025050, 270870520, 943381448, 568187532, 571639427, 537051746, 187223660, 333340328, 203234869, 401437601, 626020633, 436436405, 854808964, 743153565, 50050625, 344250320, 285765006, 732300026, 516768804, 328406692, 219729883, 495247959, 487924416, 199697640, 691513803, 52206199, 979364501, 769619673, 792627237, 54991797, 934017793, 235944992, 799577557, 164686674, 656185153, 340812523, 897026370, 494043493, 835247913, 937875022, 764137132, 212867171, 593392606, 742822058, 405075918, 330018085, 19012513, 39175933, 922188877, 529876284, 119529634, 132791624, 856769245, 340540352, 551070169, 135096531, 980635837, 92227989, 318592562, 369270415, 176412454, 278590522, 765762163, 225696387, 16098896, 960324187, 800546140, 568803513, 859636975, 633283170, 999868021, 108527470, 321137211, 426868186, 190256050, 763322258, 106246438, 417004030, 766654439, 579528639, 676646021, 44573347, 106571229, 143307583, 843397445, 646972455, 192040006, 956718742, 463540838, 525393499, 314800375, 172227552, 812446416, 934099741, 92992272, 135991901, 697439443, 147634296, 364639915, 336411246, 307510484, 992195291, 208456570, 961672896, 497537435, 727019600, 466568334, 190511341, 242866514, 423102815, 244846636, 686405830, 577200419, 327152894, 716698405, 257164338, 305854396, 532982082, 102169837, 847479456, 1463516, 724595824, 690033865, 155241340, 605278974, 573963099, 185419309, 376672571, 998217133, 864962329, 937607000, 938926840, 342892469, 283953964, 596158941, 621339421, 324625489, 192521687, 50251134, 347195544, 637574060, 858677971, 965471889, 679541469, 867137991, 12231743, 422732257, 563594320, 862820743, 923305171, 336037442, 52363561, 896767714, 981194847, 395607533, 65393263, 910211722, 631015918, 544353662, 477361151, 70094985, 663451520, 359938172, 351997405, 393990740, 540024070, 823558602, 916455075, 208738565, 187613650, 983026112, 406056892, 732907413, 753980017, 398634150, 132919179, 348686279, 853577402, 982612353, 695452351, 601463683, 956914494, 306054210, 946405828, 509141333, 85800210, 707814336, 277990868, 40573923, 851667830, 490123087, 353284481, 300291260, 194215100, 437309786, 434676994, 551322104, 45317912, 8566484, 525501348, 188640616, 944419377, 518031303, 349197502, 375413130, 234859288, 106168944, 561919233, 57050827, 212362707, 903347756, 568335685, 221457297, 893850586, 476598572, 754617776, 747260956, 377009558, 32444232, 510207118, 51232386, 825790409, 986773371, 342103945, 872684265, 341516595, 104055475, 781256631, 510067989, 893538312, 680874835, 330051498, 414194225, 9537288, 625358849, 778782154, 758451953, 818074709, 596366998, 115730375, 928546471, 637163471, 645085995, 502483758, 857842705, 871454449, 549495247, 468390062, 380595794, 56061279, 867729794, 478318160, 907739766, 519953633, 383446543, 349879651, 478309078, 155862074, 50481308, 684306874, 836516087, 244582643, 511488353, 828729109, 174130139, 116051796, 334730746, 468547629, 940740626, 406339184, 264075255, 498566052, 816978621, 931375284, 165321962, 376850347, 202349298, 273374401, 747095341, 317197240, 390756102, 481754064, 679740924, 763207086, 455957681, 96541121, 30895441, 936508598, 613884776, 395756905, 858807495, 825847630, 233792634, 907858246, 648391728, 287537715, 287299385, 256675259, 764798013, 253587483, 64555099, 705438811, 514681865, 287891596, 207584478, 992546403, 828930743, 164338242, 173704530, 922728997, 62696677, 169393577, 67794467, 791400223, 340249134, 992939015, 409132802, 235200548, 696618389, 998390251, 21478345, 268060698, 614248441, 518952245, 76836983, 107110025, 945139664, 867374185, 518434943, 328071955, 317661597, 119817732, 482630315, 830767917, 552557989, 430017755, 176401823, 281607352, 168148672, 164002698, 383747428, 734344972, 11831573, 685005062, 590339725, 381808394, 835804854, 754757989, 572932384, 37348917, 438145139, 29885359, 130512541, 784571007, 603230196, 825323092, 380853543, 774526196, 367188519, 487886529, 316449540, 464412600, 228305629, 542076333, 388725457, 758292653, 906438411, 166142311, 342510148, 573303577, 483226232, 939378657, 371297594, 955270910, 629204003, 445102069, 729959664, 251459111, 11390805, 849389094, 577203722, 200356904, 49847588, 4660955, 316379197, 940365548, 207241759, 956242498, 118746087, 967756565, 599567019, 35737964, 488504269, 680551297, 88226899, 422932269, 149264479, 638866420, 926451147, 84190583, 472774837, 794746507, 996187962, 301578632, 12322883, 176853066, 397802237, 637477921, 853846808, 909801890, 495589689, 106404951, 594550643, 516377894, 104601394, 383484810, 239261252, 908652911, 388296339, 130575885, 150016599, 968577081, 784335442, 511700456, 140807577, 756983509, 106869192, 727830224, 522178760, 383845795, 705641930, 782330882, 585255942, 711360056, 452757102, 70007627, 103237576, 133521689, 877409364, 260384557, 220663215, 404991986, 401292750, 704775188, 565690084, 453222842, 838699590, 919739834, 388838909, 412854860, 682260286, 912216964, 671401135, 249114555, 75308912, 823548990, 64464154, 622606058, 424297936, 652961301, 816966743, 49671577, 375040470, 728236001, 348776007, 300192796, 403150955, 934496527, 719715101, 240285357, 840516745, 987019640, 8993223, 227616323, 793455557, 874570293, 448034759, 586233370, 969071200, 690872480, 697307806, 194851897, 117083801, 234123297, 697694032, 751766756, 654990531, 236255227, 587449596, 482946765, 539420237, 532777052, 727465759, 921233759, 635783396, 531148478, 506626906, 306002554, 115400598, 60727943, 568268633, 201926561, 130100084, 104679676, 970339027, 74873134, 735321803, 775417333, 754714327, 621700221, 859878566, 916348489, 222840659, 866610098, 154017673, 478454727, 982396664, 283730058, 852281777, 70375151, 537748221, 514611239, 817953204, 197199106, 845650, 270137412, 398145215, 506796983, 307644596, 200682561, 516649832, 390866867, 549198437, 216719139, 625995184, 490630786, 743600438, 598934362, 952461000, 873278670, 381797277, 306225462, 91875109, 669545961, 806527540, 668206158, 25693322, 825769718, 40770674, 991238149, 879532120, 529581580, 246610803, 863193314, 509394447, 874127999, 471637386, 187110897, 530462652, 512995187, 47390857, 821560434, 544409795, 755025474, 17995561, 60503482, 29397594, 160185457, 915040400, 645162521, 740373606, 43563618, 422310037, 941301130, 379766982, 788994120, 54584797, 183751691, 198341560, 847328407, 560369208, 491618087, 368208691, 328109816, 896398885, 779647341, 42068480, 569486358, 256856182, 188983388, 318035855, 35163314, 510484132, 923179367, 254914740, 673284963, 997031485, 218089033, 292517541, 331156816, 26700019, 619499006, 591593308, 750513843, 33192773, 401887017, 208404341, 201792872, 793423977, 259603376, 64805980, 958079717, 860136264, 609659466, 199539657, 566874885, 216741099, 333733522, 43701398, 170809043, 8406500, 542001473, 989186301, 249060621, 901167915, 219330955, 855724670, 290792705, 658288815, 875898561, 522679861, 263923689, 40406907, 498353176, 499525708, 773841100, 322312641, 229793585, 575989643, 795981136, 879459912, 897923518, 61658420, 600625790, 842937304, 288551817, 118946563, 585198898, 743233730, 488348911, 514513485, 802877807, 505579032, 682963670, 867909104, 575720932, 30027139, 38685395, 423374943, 299912739, 193860743, 246494144, 415917187, 692561471, 545405312, 690071802, 775700364, 332103230, 178961871, 751044790, 505942250, 90088473, 90295823, 101190101, 537346178, 42958098, 420978435, 821707012, 41512310, 595261991, 192851643, 316833754, 9164808, 829537081, 796587527, 139144497, 627498379, 121760483, 808985396, 630864295, 46890266, 526023161, 268808958, 765420344, 651238717, 352332360, 807082412, 524737331, 366945072, 752843678, 694040815, 973287908, 611421769, 877627600, 161254104, 303825985, 152189123, 149333640, 892108082, 559602034, 897996229, 110191757, 831132346, 156608796, 367013069, 23548953, 252920325, 304913606, 79033785, 645497065, 741727287, 816798529, 455679219, 527290470, 620234123, 734344153, 825781427, 754830175, 493307676, 595147282, 557360365, 693049081, 386695992, 842764724, 234442491, 663771397, 212066399, 814462964, 642291926, 974634090, 450930570, 955748811, 295937688, 109766009, 602138409, 365088093, 241763017, 604171561, 58461573, 422682138, 790576133, 27799324, 129099389, 107694995, 101900569, 135537987, 20498999, 20712856, 836280102, 91742329, 788712295, 520582297, 152983320, 194028455, 503101157, 300262150, 382417713, 541482929, 176191185, 717977402, 962125626, 651908612, 937833893, 746482496, 378452468, 793921833, 907428216, 68217207, 483927679, 299226269, 914669896, 352393813, 400119856, 59583791, 973196041, 351309612, 256683234, 87376762, 951340438, 233272729, 909061106, 25623133, 800077487, 842764539, 317785732, 880512653, 922446014, 545651681, 848503470, 324949980, 531944588, 133349987, 859675250, 666406836, 935180429, 65727043, 51392136, 161537274, 937703440, 777227880, 699922236, 557108229, 298808654, 511722185, 803608600, 520680441, 531591169, 707010573, 451762535, 696474535, 733396932, 102689447, 770001564, 202891432, 146375615, 661847260, 738189058, 499204821, 585682460, 475211524, 352282041, 120904561, 141039482, 859843258, 918964438, 321171654, 672005068, 527262040, 590005098, 372245837, 49827646, 185477892, 656368221, 113242497, 252986841, 260310604, 800722117, 408083827, 770783592, 960207916, 223992292, 691900446, 686861703, 734044485, 529888819, 245476135, 380171123, 413005194, 614341337, 697068440, 69111229, 384176175, 62236706, 848847479, 743067995, 582192179, 946397335, 339929927, 107157466, 202621527, 995486504, 25659031, 153324480, 323391425, 88804685, 626513679, 846793120, 3268397, 279179087, 51350447, 177601071, 942545265, 748923131, 997298647, 39963159, 217108968, 834279534, 599694537, 527119547, 896623442, 522904506, 995747008, 711740861, 250607089, 277067488, 605560465, 872466106, 859222633, 490493753, 584402430, 808600743, 203366278, 235976247, 831499416, 683157226, 574917111, 389527069, 392822265, 116036641, 887845854, 575282759, 938874963, 249210075, 386594226, 427459603, 888397737, 770189818, 896661769, 961039484, 512683449, 182181458, 133305052, 420971339, 975949962, 963822753, 465882191, 888351755, 980820202, 434567016, 83159802, 951003403, 593818782, 795548028, 249144711, 436476958, 887244216, 220594204, 285362175, 555798596, 551185624, 817086740, 168428707, 565669042, 109309326, 764158541, 147599081, 757169353, 368415519, 187948778, 662668636, 962331746, 31411209, 903866562, 764367662, 32266332, 998680142, 905993366, 881377287, 447489279, 929667176, 605808333, 313308148, 931202524, 755706584, 468572381, 661154578, 422885901, 985066119, 259392055, 715605981, 691930195, 578525092, 193951978, 564986310, 546843356, 982823358, 302947773, 934740238, 772427320, 376518106, 487052449, 834896345, 522182021, 512137815, 203290456, 988262238, 243321610, 65395719, 937967426, 251820179, 878862448, 313647597, 710188941, 744430980, 262873983, 382581354, 483793652, 966167134, 454672540, 603560964, 496567002, 57418472, 155775015, 298144749, 70530864, 627121724, 978021432, 259084339, 771667254, 410197351, 851058314, 508394068, 395686592, 884167093, 228734216, 813862959, 492406519, 733345739, 890134012, 430625402, 771989841, 219063473, 861199642, 290812323, 362743253, 968210658, 665812989, 860182076, 897581612, 892806546, 368217542, 50585846, 489330075, 475140295, 292425777, 815684349, 524714945, 403843171, 661546694, 808321047, 380143415, 808513913, 608896910, 68288018, 671152877, 813281019, 161980917, 985375716, 683363408, 33528621, 121953146, 710551179, 109512912, 30453370, 204181811, 487495666, 807713103, 16812347, 223445027, 418206430, 239979147, 180710487, 881046851, 854749419, 970827678, 875165836, 711885551, 39935301, 329377761, 623519755, 391210881, 778625669, 408985570, 230948175, 876475828, 561731448, 114720131, 775479818, 409174963, 544193243, 791763111, 825837796, 587853306, 376459581, 928242149, 931557965, 454987596, 271897160, 432073460, 713711246, 662380940, 854541634, 260219666, 204445964, 226967495, 377760066, 127781480, 317396543, 859329970, 860322569, 312793692, 288862621, 566534384, 495605340, 253416494, 22485406, 916218669, 36148853, 987666353, 722443503, 491969169, 511181617, 301163356, 240123050, 291497002, 470860625, 196586958, 724871839, 269902921, 509695338, 994580936, 195878185, 252698762, 383498623, 526484220, 860888449, 483488101, 367976718, 358641458, 991454752, 896010816, 610256749, 445540683, 829712360, 623657508, 43214394, 203869932, 655619939, 390970332, 761100917, 551532571, 638609046, 817072285, 478400132, 905733616, 390204651, 221286127, 706408102, 592828284, 109404140, 504611593, 786066588, 822444205, 214567436, 626713788, 766218811, 503924314, 144468557, 410057676, 78432340, 463652904, 919436762, 7267547, 827696233, 501169246, 770410963, 418240975, 925065541, 498270350, 852097302, 92144512, 47163368, 476431603, 782697020, 56130633, 702241384, 511388604, 44202274, 102441626, 655121174, 373856936, 863958642, 306114029, 214373056, 930961082, 459126646, 532693217, 939024679, 295847335, 857303302, 546847724, 996656312, 964035068, 61155429, 874163837, 967738396, 462870825, 749609417, 976936072, 293001686, 922925001, 933320893, 120586264, 969569606, 370196895, 550987575, 700558445, 737509686, 913120696, 980661687, 351857235, 657524423, 879095665, 712044116, 421189749, 961376020, 197674601, 332444503, 29268879, 548769473, 841416900, 365897362, 304006658, 994424024, 681744639, 852423799, 692725492, 650071634, 353598672, 582734445, 59112425, 167662921, 556817956, 951552368, 149448561, 285223431, 336031973, 735958317, 187328065, 694696467, 550556455, 539451632, 818019469, 322852472, 539982498, 441909878, 249743032, 649083201, 239320146, 822368152, 256066142, 810415292, 600706487, 356783213, 137975220, 823759932, 237654746, 819316343, 523287383, 683761280, 518493081, 458671312, 935424461, 303712075, 813055887, 796547080, 424753129, 433938372, 413497422, 706650821, 384266408, 382194283, 244454367, 779684575, 519278024, 696073833, 800308633, 145205148, 242069381, 962596183, 799265584, 157646502, 133955185, 34225419, 904303175, 413030071, 556497231, 211919791, 669420893, 291968135, 847619445, 213634913, 172223040, 518789313, 271617852, 688275349, 774809343, 266405182, 384591280, 932600535, 76918990, 294536932, 102204115, 805782558, 472153789, 773089799, 796691033, 238203420, 984770197, 381463597, 294395489, 236231500, 884748462, 999181679, 551274047, 29066335, 679596976, 426214477, 710576411, 473669405, 710823549, 933716672, 481888016, 215651816, 922656198, 813551400, 861580839, 679976137, 896932601, 525367858, 251554773, 740223814, 417000211, 977382053, 856353099, 826231075, 206181023, 712235123, 752101838, 415073546, 764329435, 919677405, 199724673, 10266011, 184051679, 533291145, 306317256, 15832081, 19002639, 340242785, 934737897, 728945572, 737830033, 544671398, 511706922, 363857603, 394512149, 294677095, 845622480, 875275261, 197131912, 219904494, 517737234, 561588125, 878429394, 573126199, 300426930, 223176198, 488304644, 985860245, 811079253, 775061071, 95537550, 11461466, 329019433, 35548906, 707846081, 339468059, 899312108, 670291070, 564042697, 631733792, 85895521, 350174517, 602868888, 483445557, 329421764, 791188720, 628580633, 84513481, 776585214, 410105813, 894426827, 166923388, 563432259, 258635461, 583766384, 352431406, 114625381, 253379166, 789903333, 773335597, 530638740, 754959445, 287419732, 245298125, 406323121, 329318066, 152865065, 790757089, 774611428, 262519327, 226307566, 751792949, 573534881, 318011362, 268081259, 79602833, 397690184, 559537131, 251267124, 790626568, 343718614, 747530913, 281917551, 714994147, 704179829, 256859237, 994808626, 559804099, 587082266, 719203955, 542321112, 564055583, 125244477, 778785985, 26863704, 817747752, 481096483, 515528217, 284514308, 681917482, 462236281, 372210690, 893631536, 528653705, 828005134, 439970808, 366886743, 790853343, 857438457, 39898329, 889485297, 299017624, 968749646, 219996524, 488772580, 247897050, 664474829, 744579916, 551212016, 273711854, 164391024, 480973094, 295503984, 749297848, 521190829, 215699547, 740122570, 862406838, 580459008, 516780202, 157946400, 547922722, 771719944, 66350978, 368882925, 153998828, 208985844, 833489372, 809821021, 767027687, 846278204, 939448353, 878823205, 5353537, 92853765, 93543950, 755099266, 24607469, 456326230, 135381382, 581079985, 421883520, 268672369, 415778603, 776936203, 933568578, 620078526, 498973700, 402542391, 408132709, 208397700, 864141877, 662819293, 447004243, 287624088, 185247212, 909228233, 451971606, 366480460, 827115342, 796611427, 437630325, 752279854, 773006887, 513489028, 903549507, 718670909, 666242890, 769190443, 79358299, 346866669, 420138557, 643385097, 256708654, 326869611, 984292668, 994609407, 91761327, 917864072, 719861185, 937640167, 362576759, 379394941, 792557224, 730437679, 554015363, 699935169, 43380670, 126421303, 446890186, 420050502, 147567534, 152443587, 526024500, 448306614, 781029867, 71334941, 531653875, 930150246, 276504212, 391699558, 102753666, 272924101, 211971299, 472376751, 365339686, 796184871, 396912492, 521507250, 980033572, 341261891, 492433306, 994072857, 196988021, 154933582, 132454670, 153156669, 516666071, 188259256, 318537751, 832983449, 183180283, 348724839, 123939559, 240269660, 671374486, 670329580, 109005998, 638784625, 168146428, 593962710, 797316704, 972163843, 123698364, 332329826, 319797197, 551582880, 480910230, 219603972, 58630968, 669058279, 879345297, 926679278, 748969192, 331839551, 942225758, 820532041, 81975577, 896183107, 320076347, 535755276, 166574183, 646395998, 267453749, 627210047, 491938561, 179327004, 901105616, 332346054, 265224077, 417623325, 948516376, 130227618, 62626809, 853257867, 449278164, 470878471, 101896365, 181047309, 620674919, 923145329, 523616717, 681166080, 925437187, 411317826, 310190975, 45054023, 458322376, 242937382, 341746628, 541523510, 159242023, 536955164, 345091432, 707944153, 428880969, 61820856, 907614502, 610998302, 969622216, 708436587, 284362469, 399773050, 120345577, 163885348, 63810671, 643978311, 933493090, 623411637, 269405142, 522485355, 581135279, 477248287, 837641582, 432587184, 210967815, 193787924, 980477485, 999340608, 559822950, 568570895, 679690966, 817412484, 739194430, 837943024, 996090892, 689181481, 752396295, 616741775, 799163500, 213113822, 885530390, 556286291, 972012262, 690437318, 276517027, 648166940, 454266724, 546599173, 70806194, 260179687, 797380664, 91815707, 275575120, 493206352, 271592680, 138993624, 800066480, 172560588, 682598259, 52549243, 248816778, 219497863, 486188312, 616014162, 595066904, 774917782, 193164329, 466245873, 773489672, 49677799, 393598007, 130941553, 294017382, 599837450, 600174737, 419473709, 800093447, 146398794, 221862802, 115477655, 874630146, 945090957, 984729159, 737371630, 407764031, 107395658, 770456863, 165488265, 125237298, 729001975, 733689657, 895392660, 873182777, 457470011, 54519899, 81174309, 877917475, 580680533, 114700810, 232451205, 893903274, 140671826, 944809029, 211349171, 209602159, 30899679, 195346577, 558482715, 705102692, 205482411, 988031701, 492234574, 278736646, 489121534, 380802867, 968077799, 591605627, 695678589, 257451706, 166097982, 709852710, 534426192, 735396168, 565822587, 668130671, 667183151, 302838634, 771092163, 977912341, 922106281, 711075598, 490569517, 324611600, 864172701, 973971862, 264537924, 494449240, 914053625, 359936709, 997679405, 96848986, 357084425, 946675465, 477374592, 80245409, 486634846, 16766509, 178172184, 764963973, 226597971, 515711325, 514907545, 853630161, 153520727, 492410530, 20739920, 890789966, 501098408, 749287354, 669032557, 316218600, 227778411, 352452378, 388363135, 203335386, 570118496, 233793898, 340745049, 593750139, 215010279, 629545653, 587836558, 773418104, 291906682, 833810625, 896710719, 738310296, 964405146, 567370034, 75089973, 580549066, 223017896, 125113636, 225348481, 152529636, 796502886, 559716296, 2222269, 132566944, 865913789, 134394174, 269348648, 400426130, 617319114, 882800692, 889849041, 211853210, 80486080, 263819895, 574165112, 270184220, 839342925, 563051107, 332244023, 798887623, 305958482, 457869145, 895283237, 458289441, 975812363, 917028200, 410538450, 282707901, 12030940, 636379190, 770184073, 381047912, 744124991, 322632216, 70936069, 819271669, 897812537, 297466135, 505381010, 509359685, 185892060, 578666497, 583701353, 399095640, 268958728, 86670985, 112770388, 294777865, 175820256, 767881892, 223753451, 725303232, 126169511, 231929192, 289982983, 695571312, 551103075, 139489389, 134246638, 16460073, 155237454, 998532506, 404183891, 782990240, 185699880, 638841387, 122230407, 644400303, 104282199, 192822721, 448445164, 878640635, 388075775, 386278677, 626875132, 222866530, 413333070, 964303501, 128160185, 516322720, 324502458, 696198787, 635755290, 73198684, 20970567, 806278601, 642646214, 422818264, 703358271, 226329391, 645426755, 706569030, 533556446, 36127794, 688158289, 717717696, 720353671, 285298676, 660840993, 486699597, 249452758, 253894938, 99922323, 443052312, 329931885, 128552456, 346543509, 383161337, 679345517, 718354571, 104035849, 318442168, 605144710, 632992537, 992462693, 911055492, 437340596, 251988060, 513245953, 116722268, 94278331, 4296564, 655783790, 585753148, 202374858, 867532748, 745197883, 638989246, 675127021, 845956304, 752971272, 471136199, 388743258, 928961709, 432160143, 852004265, 738573704, 687584393, 917478399, 581609550, 862201927, 230218639, 125022592, 53432964, 171085346, 359182694, 593781794, 442701106, 675832293, 328065314, 850598875, 788276208, 28235250, 498195705, 165715245, 436019611, 468183632, 156476707, 992442842, 346119894, 543163167, 963343597, 875767689, 486243289, 394379451, 451299435, 561964427, 822460608, 943054869, 809187016, 643075819, 530964793, 522275597, 165030019, 268042364, 35130547, 911383724, 56668181, 991982055, 355910513, 433034299, 84186695, 816810798, 193081739, 999531861, 7667839, 553669564, 235040730, 167679886, 246668294, 983449860, 628699349, 300947189, 413383936, 61752514, 450673969, 656650164, 259065573, 747506276, 932364798, 395040892, 709370188, 893361798, 423817546, 427680144, 386563780, 662631997, 357427275, 721000558, 954658615, 41010602, 141500226, 111598960, 978754862, 122886065, 54908717, 626615728, 748350909, 449067253, 675511338, 667172974, 120479113, 281284923, 996845583, 744953143, 351568982, 854245614, 183948898, 946321469, 715649457, 862649430, 944557543, 180462372, 317159030, 64383304, 689339549, 778930311, 961728511, 367683508, 280071935, 223167784, 774352192, 980417749, 765868351, 220458526, 329073876, 933916996, 478636996, 29270526, 641989580, 339608168, 478486647, 518125030, 310409803, 519822096, 702799253, 209765417, 216468950, 529181985, 363176620, 825155402, 597897583, 294755383, 992038850, 456530831, 352301019, 92974336, 750291000, 773724598, 249276123, 663284095, 426964751, 623227601, 851401743, 965523968, 833507438, 644373089, 201559426, 503726864, 218978319, 45044194, 624622217, 846744854, 448288429, 439326916, 289919036, 106214901, 877973184, 398013301, 105412462, 592433358, 495720875, 416934512, 142918608, 112513779, 205053927, 962237786, 143588995, 900496223, 771700798, 920239004, 188322652, 360933493, 951501412, 442901666, 247589695, 907861601, 441692331, 223801429, 617060424, 977440136, 353803807, 498025320, 584186765, 35682688, 411230757, 918913281, 909671649, 814677533, 381065813, 785486562, 570347964, 837659306, 158808211, 837321122, 749014283, 694580733, 998475286, 189906478, 351568128, 524922822, 524166563, 972438552, 613498827, 749570717, 131756808, 687499688, 633895985, 69976946, 963890141, 894000711, 118909168, 173422419, 983500190, 761403340, 183362071, 328241286, 942405600, 303267976, 925272324, 900241925, 670757519, 656540170, 276561463, 326712656, 336837618, 477459249, 914293526, 535947995, 349338377, 843745600, 687363750, 447408319, 984372132, 586919004, 182066373, 462723750, 22872947, 577227527, 348151056, 977264946, 166931403, 652541759, 178514674, 72487560, 39901528, 362915499, 957589049, 378586079, 159331652, 564994925, 227812999, 777232632, 838140481, 543184493, 52076992, 895701, 981490615, 646924103, 61657228, 719040791, 655105741, 843883901, 589584547, 287291299, 994674140, 441878332, 787553934, 222176606, 241842962, 63200767, 671898328, 284159658, 141605787, 496699656, 723789705, 327045112, 540660107, 741815534, 170510038, 348119969, 53328802, 645702221, 734664904, 264977334, 576307572, 313726919, 35196688, 95551387, 854125934, 636699947, 210356234, 867269240, 901870048, 855396188, 338956692, 401997432, 25967920, 69316581, 113645370, 820689430, 973553693, 711752511, 795562426, 288654896, 239474062, 492311617, 108695744, 456434274, 700386211, 866693390, 677160770, 727066391, 328415347, 225395586, 560205534, 58180139, 479459501, 221041539, 810635555, 381809670, 204752422, 67110934, 146743552, 195211028, 276119066, 935121482, 665931915, 328594844, 36491200, 640268046, 185755509, 776279469, 783898079, 724547407, 660982540, 115162069, 529071803, 244953709, 117032672, 219257407, 566451240, 660863408, 499935440, 468344459, 82620887, 944609109, 218244955, 32283990, 3207286, 947764773, 909240766, 937055611, 734149398, 271877098, 490404546, 211734652, 20024230, 372545904, 519031231, 767166124, 966550809, 227315980, 155700295, 311904303, 184894297, 259739853, 688342636, 701535987, 112047754, 456278218, 114132524, 215171595, 45989576, 335534291, 363443926, 494129232, 335409663, 101247308, 167261650, 42762182, 55352506, 11764276, 556445915, 679920194, 866499751, 6991811, 184654273, 542653730, 841948541, 177315823, 918694704, 27249612, 269849091, 489052604, 196855267, 867127973, 761425860, 942094338, 620558416, 152237381, 529605906, 328031377, 9218698, 891162852, 305803192, 305087356, 61901359, 496422745, 382710807, 19143006, 812579371, 801617161, 906854680, 214305178, 986399988, 349988483, 470172702, 905817944, 131710881, 167648804, 841778880, 192159101, 827547703, 634913802, 967383307, 274745823, 589322372, 363260351, 747943926, 675275635, 834583262, 718312420, 182474047, 143104522, 757926346, 313333695, 322883359, 705422516, 167305014, 666567468, 404011475, 724539797, 688904814, 310898074, 814934513, 449855024, 806543590, 673497337, 774739108, 589278564, 692617398, 323523308, 472949518, 643629624, 667358645, 525307255, 737074954, 771960162, 986184023, 422094352, 468520228, 576571461, 311231604, 404982617, 69880918, 629568850, 865200689, 337373929, 295412461, 588033030, 703252432, 435417875, 295581366, 507723282, 942775208, 645611423, 267860760, 15337383, 943760025, 736493088, 30780639, 936817749, 789295913, 47224596, 88597360, 499846292, 639439694, 71247674, 9992788, 660660445, 631160257, 620239, 555834644, 485398529, 103539004, 369882946, 624334025, 924095222, 921020984, 176466465, 100747493, 247487155, 715895679, 62535495, 552321402, 822375464, 203651681, 442988171, 345938539, 754602971, 927572096, 772219944, 404169830, 101102230, 446258164, 625477800, 669049923, 830459510, 112061175, 577656212, 804010017, 440257220, 289858339, 786790378, 663236701, 604311798, 275413207, 708999955, 189262728, 283164009, 275115922, 334377355, 997591831, 385629393, 656681007, 847042014, 641416831, 932119109, 360300013, 993611935, 556818239, 952590781, 510242946, 583792067, 490562526, 275366315, 697994737, 215278485, 172157343, 460293635, 886102411, 53594931, 2489252, 500899515, 214183283, 958559677, 157260586, 470112862, 587280712, 865876352, 856925326, 397371046, 562547650, 231169480, 40433049, 626853753, 625118291, 378078233, 430376597, 639294788, 992776848, 52368936, 804346912, 861757127, 716344018, 820196419, 8057324, 456688345, 850770653, 529308949, 24207663, 453596898, 813133511, 757022390, 74050225, 292005482, 204194272, 883760801, 311561543, 958553838, 80214820, 527810997, 832427278, 562603227, 765505956, 375892105, 986725482, 811819208, 158003462, 240557182, 733880901, 512200588, 355374891, 819124938, 27697807, 774056067, 698118340, 904095150, 511156198, 209818731, 621748190, 118002313, 804792089, 127477, 739895643, 302361061, 735419365, 654879508, 153380045, 661473308, 588658090, 442817478, 173223184, 476070823, 710347085, 932386818, 874021515, 654240874, 124352018, 791842805, 216754846, 801807082, 29830412, 158108668, 164197588, 581350769, 678767497, 190971568, 224094116, 271378264, 428583404, 518816805, 870195492, 810751924, 286694744, 778479655, 407059249, 360759585, 98757688, 305698230, 545415962, 735518958, 727176495, 437903066, 786063860, 530028914, 559418000, 28947898, 508567703, 191578528, 10474009, 220819554, 557278379, 594971083, 904017047, 828921725, 706430420, 874891376, 27526912, 542553184, 527113732, 241406420, 616254952, 577109508, 262741913, 223137581, 656866375, 249564534, 112613371, 787605116, 126614585, 955827486, 370447122, 278639425, 484329, 426287230, 622559892, 646025601, 460921293, 690776279, 491330254, 124045605, 681548016, 819001323, 20057659, 638674020, 497917072, 235768359, 467115818, 206149435, 156892351, 766546038, 996541093, 129463523, 884284834, 935306796, 431565773, 500681550, 261792861, 753291082, 948301176, 268035519, 163106294, 916948628, 354898974, 219933438, 236592294, 693006256, 188285530, 206355267, 178978202, 884206349, 69687580, 985795894, 331610062, 111664829, 416817188, 377402297, 299442172, 344890482, 696229612, 263360782, 996625339, 221474509, 297995066, 595769889, 208042473, 410470680, 500515397, 499989380, 706669129, 814985458, 759077123, 263493292, 699170037, 631339993, 253633610, 673192124, 675153141, 874958993, 37008724, 711343196, 613401322, 852648143, 600678990, 192394648, 51380980, 829820044, 894915171, 847149398, 860985105, 605447682, 142829439, 20193112, 398855510, 410702835, 806976249, 502955234, 489964236, 998431646, 920991916, 139015393, 636790415, 978489841, 749580590, 243184338, 112588051, 425231137, 510066260, 731698381, 889502629, 242625057, 657241337, 526938482, 176143480, 312508964, 478147944, 392967815, 61867452, 738099801, 806995199, 28148513, 334041363, 526994652, 549523512, 997330143, 647203687, 590394654, 318388976, 762861552, 664472564, 219924447, 332483135, 478404589, 454506275, 555239576, 611009977, 664994653, 565399650, 550644317, 651817697, 990580966, 872172148, 778173761, 127493417, 946517596, 971821630, 991518081, 484533600, 873710238, 768278376, 610970377, 444471745, 802122109, 289559545, 53692899, 84198386, 88979806, 967806712, 206892122, 75939707, 755808621, 248474676, 436137086, 891079738, 811733611, 744072298, 32439052, 548305781, 283647264, 55200538, 724422252, 800358284, 531016959, 501470485, 935251647, 830909481, 892557521, 273232579, 575399940, 913241549, 992301788, 771887932, 969566616, 300056777, 33027736, 975420829, 841222812, 572343830, 346788874, 721287826, 294625586, 604646283, 780128537, 392076861, 139362064, 250657742, 870803342, 309935086, 376093361, 245163505, 170388143, 816448783, 340979164, 554358651, 371377783, 465152588, 908135407, 494658147, 121791944, 645611620, 582822942, 818214185, 134241336, 353206920, 343114124, 326255233, 649106459, 489165018, 233153938, 685605118, 211485005, 447450089, 285024179, 195241537, 565056018, 246324474, 132907079, 731327708, 176019591, 219547312, 632887307, 775792115, 95889334, 617462687, 118422240, 881714259, 359904982, 534443588, 361941965, 601011066, 19152667, 953768602, 385249628, 339896257, 939834422, 601880479, 40700547, 323048022, 957326118, 805975658, 727097429, 912537037, 79310161, 888873514, 236679939, 144834296, 555877519, 258273497, 117582904, 983278122, 595211525, 945227383, 907062005, 395049156, 820361411, 493387429, 588956513, 39714758, 601891195, 450393111, 813911734, 661918883, 139466027, 359814867, 263450008, 213494868, 395076209, 223693248, 994099272, 308686372, 362186690, 187179680, 484417252, 441646315, 502952031, 288255039, 337438545, 38857252, 11799186, 712908756, 50904556, 69639046, 155995327, 96157440, 635963592, 371780164, 37520382, 443480608, 710939489, 759085732, 906222952, 140007168, 838758451, 493094423, 853477895, 793640028, 253765299, 129229440, 607351012, 535035005, 923353901, 355140445, 955579327, 496811034, 301502339, 840610700, 219380006, 100220383, 646030967, 301643694, 504969823, 366188601, 949179021, 312511339, 468984024, 478105334, 278045498, 395881531, 694835154, 101712731, 737040035, 99905163, 267056637, 601786518, 136249352, 228647165, 76088369, 308669737, 274645567, 76231167, 650842107, 177273533, 390541831, 315853188, 458698482, 862432231, 651299469, 772351625, 496172954, 434273998, 623443386, 407681939, 460978329, 472032575, 578294801, 951734031, 814997775, 121899461, 531317607, 987058322, 232519090, 982546151, 920045591, 140511203, 755837030, 701754928, 802310336, 672168874, 99741713, 261312495, 264869930, 336371467, 753080039, 937520766, 138934044, 332960014, 743445692, 139055284, 494595886, 335395673, 519169752, 603537709, 914846993, 754532808, 384628026, 204867798, 356837423, 362795446, 933100334, 468106281, 562887088, 832500809, 984723757, 309292029, 302777636, 762940997, 859182498, 463467917, 105321213, 54985471, 839279794, 263374397, 107429858, 972148947, 922410684, 660763770, 844363642, 456461716, 439363063, 770433373, 1417753, 96317378, 720084812, 662508277, 824171486, 107475608, 701768363, 249390976, 669283116, 586425300, 702342692, 243790459, 245960695, 656946889, 744763795, 661193474, 803720756, 649770505, 213887785, 41089897, 797862045, 273588905, 217114848, 357889603, 127756619, 188937683, 917491244, 464365607, 976448096, 701516983, 302462356, 57602382, 645130507, 675469545, 858621811, 819486668, 750634579, 196530735, 570863568, 261871813, 286548526, 441157270, 371153461, 443277117, 563537775, 363696273, 494551943, 939506113, 692882022, 320427364, 204599404, 655916406, 879950460, 108348520, 871580316, 633618504, 896359204, 679702914, 448350085, 207275270, 919654100, 982626997, 52329222, 636235147, 221223082, 326059345, 404316320, 757495426, 134140786, 863715451, 25201970, 631359077, 161453992, 427546327, 103466596, 785678344, 711293690, 31536692, 270984375, 212341308, 883885024, 299622932, 438504416, 238473964, 32935297, 359080417, 254612763, 182411867, 314556471, 288722054, 400619833, 405171111, 557603721, 801636532, 328343224, 141141921, 271952298, 988934438, 577375719, 624587101, 769860801, 819329174, 632820525, 637881046, 242326192, 598341118, 699040149, 685705025, 581449529, 18602552, 171407868, 691266286, 722576152, 562897587, 679172454, 383661719, 176029747, 299774287, 720594048, 189866900, 3984142, 512905887, 791918569, 509950363, 508852782, 339852949, 973192598, 834715119, 403450280, 25584717, 686904464, 767084432, 24396485, 42434761, 90138536, 286760949, 912593686, 59814451, 138347163, 19201776, 420863997, 714522176, 241866978, 456230245, 4528682, 517250456, 854467403, 765724934, 556372603, 709702275, 443864959, 410318209, 550877613, 253107307, 680346108, 248150350, 640762850, 135451228, 907722613, 399661689, 748150228, 117177457, 440750283, 673876283, 188648874, 172568866, 230438631, 746940000, 118842486, 224081645, 741016444, 968345642, 963670447, 415519105, 89169867, 887685073, 744356177, 920055415, 246619445, 891571441, 348138997, 315720491, 341695393, 582932781, 230597498, 810390489, 714609552, 825865668, 896556045, 767326619, 437688846, 135498886, 168422509, 235823186, 956796056, 160416668, 533704085, 59903191, 916076026, 585551355, 204320993, 189501701, 164473007, 854246696, 564102667, 202538389, 553226576, 155902965, 231103295, 290075301, 797898168, 553018877, 406020713, 109054901, 104504049, 816557830, 831468947, 708315999, 802406183, 418204134, 891692840, 786748545, 771824375, 238944438, 818080487, 402621486, 496172317, 542110697, 143321570, 337569097, 463361946, 999107757, 461559300, 506390479, 562547167, 861648039, 386466507, 166634189, 969173429, 209377606, 50763384, 532913236, 88577727, 33809533, 657342657, 777676882, 6401302, 41984805, 451605115, 525041225, 698687170, 887666480, 841538404, 443886390, 421539125, 932434209, 255025236, 57063758, 212549696, 220241061, 558250560, 756442511, 956202486, 705850527, 502128718, 722600006, 26665731, 301194501, 893771741, 17536631, 194166516, 265265083, 173725555, 648339216, 346697943, 603537529, 844452241, 265232685, 328970815, 933677449, 19404256, 956411069, 527982430, 22041086, 142709929, 693468734, 351748984, 552648273, 588417636, 382972484, 765775291, 52497928, 453675760, 631800592, 256564591, 300127942, 972099832, 309874812, 223682015, 690792026, 342795520, 556531897, 836635526, 439368379, 21649523, 467709699, 806958719, 241996791, 515663175, 39325315, 830342504, 726913695, 690841957, 457918223, 880904737, 549589852, 612413421, 475321702, 322765138, 147471558, 886896445, 798388500, 298413844, 546376948, 210589724, 389892434, 620127692, 28363001, 742750505, 614452928, 74742464, 999315754, 570207098, 114397329, 774393905, 136187306, 275515992, 776296003, 2864113, 711334087, 262286133, 306959544, 18516733, 437230890, 640221503, 486969561, 433991256, 516741707, 980973944, 146334787, 44797735, 994651776, 50221544, 91798450, 304522266, 157948551, 353186649, 98892189, 64362155, 132907984, 461130008, 17075932, 878446764, 570523433, 457457680, 895598755, 374559411, 903312440, 429577018, 525323712, 152819652, 432330364, 193109046, 109800758, 848466094, 909911386, 962875284, 619017693, 890625699, 565335848, 126844206, 916804286, 379769066, 136778820, 17857559, 624946121, 260161453, 464055999, 113734199, 148861681, 239178161, 539977570, 468346890, 779485957, 217827913, 738904037, 109009094, 193259237, 209371104, 104284876, 994714651, 69807734, 237140423, 795626915, 470350423, 621758541, 8003794, 911530840, 176935074, 913807547, 582411415, 751265917, 989451829, 197998463, 8317038, 599474465, 279199919, 487323218, 21386752, 936271012, 23042345, 376027103, 421118601, 768640274, 184239161, 157866672, 628673029, 659279293, 591145005, 58312144, 420843028, 763862992, 571713235, 911460944, 694001543, 594082542, 383030232, 792502732, 572771185, 403347361, 252904736, 706213094, 92262739, 645273186, 323358538, 614295601, 967331890, 214391285, 499410179, 889866767, 15502582, 587425995, 163077395, 740023846, 33168729, 204529541, 410459690, 39360683, 205902288, 261178856, 573498091, 677668637, 833560110, 272759826, 781930829, 882654392, 319579828, 203413948, 725664625, 526328245, 180604572, 886568902, 852119305, 348417880, 768560433, 581082098, 746185909, 145021289, 844105775, 582296634, 212463008, 80871768, 828284303, 524540516, 337809383, 273883655, 13090504, 211394396, 944261926, 78498162, 47024161, 109673128, 42598639, 29547248, 311918130, 400464295, 445507337, 22727708, 666047420, 452000946, 185098222, 434951807, 372389615, 434857591, 992786030, 634432553, 60308056, 906952631, 277194079, 659043672, 763175007, 477211565, 362902436, 756246484, 369104895, 723673851, 157404699, 738120182, 999387121, 329654278, 963098152, 406351880, 544915269, 879079838, 932976359, 478384699, 752794669, 951450797, 267733394, 935553427, 397002660, 557606834, 444705668, 650315692, 74763654, 810107730, 11810701, 131683672, 479213397, 633700557, 783052714, 237451712, 998578604, 23714871, 586686638, 260773767, 402721708, 397571405, 872559166, 333605832, 976721352, 887262991, 26786076, 565267798, 517120720, 842483579, 175200806, 685113315, 186883802, 27939032, 129089384, 418926634, 876846466, 438868506, 62843661, 606423792, 569434867, 725475205, 256412494, 1339948, 718399109, 577414596, 967657410, 164704622, 246769505, 563788533, 338213641, 887013994, 595802577, 605322210, 16422056, 380118947, 451100359, 648441431, 705243318, 819715230, 625282049, 555234838, 566455098, 175648281, 493591835, 739003271, 602610139, 506208292, 907265212, 415666079, 213661953, 59107965, 761951793, 255184265, 473043218, 852885030, 145489181, 502576969, 796183292, 22207498, 115736872, 704584424, 319370084, 154849744, 174166910, 273547898, 638232869, 192004621, 611892830, 872176572, 602220690, 300759799, 821896943, 349249622, 856194353, 424656517, 228176179, 511850408, 311455871, 250131351, 897075604, 869609614, 649018761, 595984422, 887175282, 588084682, 8811775, 578977043, 762894983, 202618649, 488865500, 447747209, 509010545, 825193593, 273744241, 499146846, 147255257, 45725285, 86545108, 572755715, 297431453, 94722824, 378944715, 779477956, 977181830, 435713357, 577050463, 142378245, 679207691, 362576227, 877529158, 487468658, 801732091, 14128923, 398076287, 117690076, 658395878, 196556255, 599437958, 942091884, 435917417, 177244239, 763635195, 47209859, 548917447, 221810682, 644590859, 842781373, 304754915, 875857566, 168782272, 809599609, 855536254, 687706729, 929073658, 228058790, 118953571, 663284928, 935480625, 273278755, 92069202, 218633529, 923215189, 134018078, 168877088, 812529636, 434819979, 430082965, 860505636, 820381237, 409303894, 434323284, 665013721, 647861575, 746981751, 429484365, 890581277, 479444956, 497844347, 90267805, 419228046, 514766174, 346480837, 408025143, 587179290, 524423163, 214190250, 97583272, 992493680, 559539842, 171375888, 378820084, 47206471, 579527851, 356068260, 162699553, 441525836, 438658777, 153650270, 618447193, 242078095, 101081467, 139084962, 554790883, 30625269, 746796880, 929976901, 590111786, 726979268, 600286405, 154538076, 334112403, 696532337, 1077015, 618521238, 695196842, 869541730, 378717921, 748062712, 126253823, 782811046, 291873211, 277453099, 778938695, 846283566, 935221786, 209042564, 730033820, 755437777, 218112551, 409481901, 368484037, 896162187, 536195631, 932579581, 558011253, 110910120, 381251541, 699269212, 798456558, 887406129, 842215228, 643152261, 767109372, 26762558, 497813620, 998342961, 382414263, 606090593, 157268542, 879097191, 212746217, 977819610, 125573414, 178718049, 177997110, 584705337, 477159193, 669001614, 25041540, 174643978, 760107346, 992674848, 779220743, 827550477, 978249947, 390220975, 329848185, 918869414, 592560505, 860747249, 107762257, 898690241, 807914501, 514767281, 507008176, 329101999, 779334267, 400044936, 762993047, 369514973, 295382622, 892268415, 481738056, 517877701, 825338825, 970696129, 668864083, 593155499, 382218773, 812127623, 838783189, 51322216, 385900355, 762510790, 349934365, 208324328, 699119185, 780516503, 643235373, 219751442, 687312596, 441587503, 396550978, 401276436, 381831681, 406209023, 589705358, 288906247, 74987055, 414927852, 934748697, 909116694, 706654917, 212542034, 716505783, 147041000, 371844038, 38896367, 443169252, 234812857, 716954362, 945941011, 537070895, 498004912, 729989546, 462645041, 811747484, 850933087, 218968896, 376537858, 289037058, 657083837, 874004972, 17678804, 439065922, 637197974, 3430469, 424829115, 385124487, 431650963, 750032551, 445471856, 414463000, 657277426, 356836194, 693648341, 500245352, 995509877, 763517870, 642651086, 325030865, 85166635, 884532587, 921232590, 816674057, 37582465, 782690727, 608399503, 602167210, 378834005, 888391837, 367475510, 113495717, 70990586, 348112483, 125840684, 226707321, 264584017, 827046332, 709982105, 453627211, 307123827, 959009945, 593170069, 96725357, 460833174, 876021010, 577282566, 881534381, 322033030, 699104063, 571250404, 308070503, 870012640, 687311003, 280032042, 432999299, 85326454, 242481354, 222377979, 902143893, 947209039, 226025946, 740943849, 413226785, 799931928, 66938196, 726785487, 507093729, 50330490, 129662188, 376451399, 995681940, 225737484, 393751056, 721231554, 803229382, 53194261, 359775605, 187634186, 946745313, 573527133, 234167251, 149972314, 488966889, 833931935, 178881112, 361362022, 910509140, 604868478, 555268623, 593821293, 706641164, 126389386, 194151412, 316328656, 141709613, 886665858, 252139757, 208463176, 159376730, 172124186, 940854926, 783926630, 692332734, 379943196, 830330795, 304555320, 185795500, 365223336, 245155436, 262885216, 293102674, 130281234, 203447665, 562322487, 227468982, 393666365, 925215790, 569163533, 811120920, 794309094, 933802469, 255339696, 984129773, 92450081, 178348046, 206563091, 639447306, 698080218, 232540253, 862062096, 297483934, 68184301, 295146476, 717600998, 187765279, 697970541, 240889913, 904184012, 54504519, 373807650, 860523204, 974813891, 561852923, 247270914, 630327673, 416836525, 80840158, 121609071, 726835292, 617984446, 663909321, 940017907, 926253781, 957969212, 288669252, 599379374, 590585063, 500792025, 466011950, 333883191, 140540858, 336674347, 190345724, 495947866, 100176728, 725467764, 428906362, 535729055, 690857381, 648858391, 277548172, 489841941, 608757268, 87794427, 289734714, 830969769, 114107720, 684968894, 632499617, 702206203, 691109888, 320889185, 105253442, 892882482, 474291687, 430830526, 76971150, 229508241, 102343427, 244140534, 423376506, 801613087, 52775791, 754726978, 790072357, 323651834, 53314129, 438667195, 127866193, 277422155, 615801550, 856384450, 776902459, 690077440, 825054819, 316188158, 902852027, 458792737, 281490613, 785462375, 139675566, 475083866, 189682146, 875289467, 358185787, 472984899, 168152706, 788004676, 820428316, 30549218, 742463350, 64428483, 535316292, 844229717, 793912811, 265412523, 325971711, 193405244, 731144498, 618429665, 431879052, 670584997, 85261190, 49373171, 322266377, 198465669, 516826100, 976106893, 42217512, 613929403, 858774041, 894803222, 724168447, 657443080, 8549236, 978124950, 120661605, 807395005, 672062728, 709755617, 261193647, 296548783, 203123004, 504684198, 334158949, 864028422, 553033197, 521966681, 755842938, 40405558, 249566408, 956040895, 301564371, 711247279, 973468664, 195023617, 826941170, 626914912, 150502118, 734858361, 848662108, 971330240, 640882190, 112871512, 648790913, 615987317, 50702464, 530775375, 477931469, 707875726, 893731086, 178075012, 165545679, 642285660, 388651697, 438300870, 236067937, 56816092, 785397543, 443965139, 989269367, 616277246, 75278980, 126532845, 926765690, 626462706, 598311855, 869233220, 853131085, 804389425, 656688688, 109817009, 600432081, 599560689, 434330119, 779358934, 295525051, 920579721, 30995226, 16916323, 474383938, 800516684, 357607748, 224956907, 539294734, 269766333, 924926124, 289684125, 721706655, 592687393, 262491814, 620485728, 986498372, 811342203, 942261199, 521214733, 810647242, 674064415, 818029961, 595677740, 311547868, 923030159, 351456885, 688740836, 774014713, 797582285, 478247387, 591340244, 755418935, 897657197, 506693486, 582265111, 559838698, 654491284, 434276207, 798263097, 321536352, 902745552, 81909663, 936937521, 259355636, 448503640, 457740945, 357035933, 692526813, 987694171, 534600756, 960623936, 115888894, 142863996, 449635102, 627842560, 435103563, 474934184, 760437029, 230260823, 806614654, 807708581, 110411393, 745384073, 933731448, 369646761, 48531489, 931146132, 775640600, 267345028, 748291616, 154764042, 375562743, 241470447, 383894039, 400338625, 29903072, 812454682, 148278695, 364175193, 798776791, 287827740, 334542537, 593396647, 905932382, 457747836, 962155740, 164515226, 499299774, 10015436, 245931565, 574006352, 467196920, 768901285, 37760066, 97072574, 521029010, 373748848, 821454127, 875240346, 245342105, 63575657, 474122588, 121214152, 868235779, 657183686, 636770791, 769344889, 250421193, 141349788, 765707389, 128158924, 612234819, 818397609, 24511623, 822562094, 440456789, 895510955, 9852750, 272556396, 134687882, 291163696, 699958793, 403743063, 582033450, 778734654, 855697418, 822636123, 559309785, 613673088, 530519247, 361042535, 654444923, 385904039, 813297910, 327235979, 663838153, 862197552, 76449585, 746779492, 595223212, 915070646, 292723065, 290775395, 136050207, 460140376, 573988458, 187493232, 902871375, 376997800, 499235627, 385152915, 103668745, 430454858, 657863577, 871647105, 820996673, 152039939, 195987833, 850759059, 103425373, 28922318, 782340232, 86388842, 394632127, 639789004, 445875127, 317388769, 901144152, 382517655, 232949995, 601269323, 15122119, 602635409, 78252711, 928822088, 202016537, 633082032, 759458272, 594645445, 356842775, 448984395, 632264083, 506098044, 799766645, 609019447, 436875542, 11462047, 450733516, 388540604, 829753356, 656089699, 31084687, 144536964, 443874235, 340787093, 935330707, 603735350, 910810757, 168344420, 726527562, 171976590, 59046835, 406506808, 525606008, 506691831, 716383001, 538170404, 413143454, 213388101, 98247690, 992759579, 490271333, 918411787, 526374372, 940147736, 766306993, 713206084, 743670964, 750412230, 277621893, 344601845, 366514256, 997462810, 256359791, 734856725, 888005153, 719730498, 120070092, 688612218, 84080888, 424060456, 898273861, 489469483, 752240169, 186313744, 68568845, 262165198, 53938886, 720316277, 409102370, 565431354, 394532930, 148940016, 655242533, 929726820, 41376044, 147170680, 528204629, 154595305, 382545790, 372671388, 857192753, 157354419, 805913869, 356679461, 137117749, 954324332, 633788176, 890445467, 966729177, 310954147, 833773720, 385693265, 352529007, 618213465, 555662053, 955972217, 883118486, 110340268, 38034790, 505708672, 492246932, 506276202, 919693487, 466178246, 189215483, 524639535, 463247069, 337810951, 537479891, 966961776, 40780969, 37336322, 584694795, 72893337, 496182853, 869752069, 788278183, 970657378, 702029676, 629773316, 363278252, 433079866, 897744332, 558940849, 922387927, 279017001, 431411072, 308011163, 497512105, 837328666, 931283917, 518541395, 945170885, 707387622, 944479722, 17919600, 676711445, 808533238, 917457309, 207936015, 386391548, 937017153, 167137303, 165274266, 354649645, 380128564, 84517066, 61768415, 590658030, 591665903, 142058042, 846153906, 396890871, 598712122, 421092537, 263014535, 983425634, 236845330, 440640793, 234615804, 439856261, 665496335, 950727179, 692405443, 380543272, 537250421, 31996142, 275088422, 537353452, 656240893, 969985886, 906230904, 245803351, 306937369, 521679754, 44300624, 35528998, 685932336, 179382193, 14347865, 593127450, 697491830, 99425465, 611447134, 425919262, 899351158, 608115415, 236959650, 768071992, 956428306, 334818441, 751663353, 158841298, 734432078, 819525906, 888504659, 900381749, 777540623, 217224703, 104447426, 116054724, 227342584, 46276759, 913151203, 497687583, 677403, 160302570, 768080248, 127776183, 28797918, 116240180, 301356089, 460336715, 78527329, 524578260, 692812458, 121250876, 568173438, 738156583, 233522775, 599987478, 820907947, 799060974, 838910971, 30140179, 918448559, 849500990, 113528562, 374797795, 695655578, 746918688, 385732829, 910338706, 249915200, 30394365, 626664496, 11659149, 457890061, 740736119, 407306161, 265813560, 598145488, 562342082, 816786296, 851418824, 154915299, 228344323, 808184250, 56838203, 705213790, 326212626, 422325556, 22950164, 677703694, 3019282, 451457497, 974158612, 408762295, 784694852, 712255448, 299676204, 924756691, 728134740, 642135287, 210597931, 883124389, 924965957, 783258697, 71595694, 727250118, 467148416, 125740707, 479113347, 316869714, 30717866, 982118842, 489343847, 977044589, 119090510, 307708818, 625696004, 23530062, 443996739, 162687358, 659550591, 710837783, 878025368, 188719872, 637595529, 528842839, 192714305, 937200855, 540728922, 673050154, 734087360, 325145565, 784736664, 579582576, 763008528, 373032337, 578043323, 599812887, 325340862, 274066433, 31308094, 129362893, 858883932, 344683035, 587516760, 53228499, 383013525, 120737840, 487736954, 695690415, 119606250, 588458258, 408950274, 749944463, 622718322, 461477205, 713612938, 174632056, 70299054, 591029812, 200768712, 805928948, 632231372, 564620915, 573507717, 226554701, 184473955, 399735244, 7223393, 949361599, 112776749, 410374285, 893618674, 908472643, 375269081, 134059671, 16600084, 861601781, 245690502, 464729641, 962046502, 445583539, 744829353, 506453651, 863520462, 56855334, 881706238, 950703026, 916537396, 261443106, 104913796, 290677616, 685782818, 874577268, 94710204, 299599267, 674519200, 346186234, 909969009, 235984718, 484795850, 578015525, 717635958, 232887365, 323462094, 521291367, 285207051, 278346037, 953498883, 883504890, 616006254, 203669814, 531358179, 855634523, 235025580, 705131314, 246123860, 240663489, 350951470, 38681221, 770100540, 133258713, 802526501, 387935237, 615222342, 875499077, 845947402, 485291492, 43618225, 401321593, 853793018, 208479109, 790935798, 511665169, 56664604, 363864836, 267890696, 274599221, 582653669, 585416240, 126508837, 367025832, 274113841, 673064395, 714186880, 688936050, 89279536, 267119390, 542822265, 106001723, 30662879, 769586747, 886480502, 440506889, 911833553, 300723781, 78486651, 831809276, 128510119, 431851907, 289528963, 138644244, 757891627, 648566083, 295045003, 293589568, 88629454, 304933013, 521221527, 446040659, 97129190, 329619277, 372011983, 486349528, 928180901, 259454053, 371389147, 495444298, 474558742, 420543219, 767700737, 280369292, 331061750, 460939722, 106672120, 43620907, 548248447, 102628085, 497380929, 865733651, 114849146, 572758714, 13577351, 975629584, 29523472, 883077939, 158868632, 300722618, 685460150, 986158379, 47564819, 139705909, 939469952, 362391155, 464598163, 79363692, 983580727, 351350179, 307674682, 386970754, 245108838, 50234617, 235068712, 509594566, 258167014, 596064130, 828050299, 491944781, 460041950, 839141334, 856806323, 665188007, 623432512, 869189487, 97842526, 943622895, 324381850, 640036930, 835397391, 209892214, 758033562, 470769723, 726013237, 900063986, 106894372, 906893238, 120825864, 836945311, 981549454, 428904988, 929308913, 291702381, 756338381, 309548644, 812450990, 504109998, 810125681, 653369839, 272557886, 246887379, 713046433, 301325067, 639354785, 158503068, 459516842, 856074168, 878204054, 36557164, 360834290, 746496195, 222289435, 916750059, 929237605, 260534918, 454325284, 487492004, 367828863, 842001647, 913021341, 329741659, 789779145, 189750510, 977519230, 208409728, 767607703, 167659925, 855883328, 546580728, 58874333, 95628512, 81751841, 43801027, 244823849, 421706868, 689197966, 843929874, 812199386, 287995818, 875217883, 827259568, 24790200, 991884476, 541682905, 952531414, 96677249, 117916622, 883011830, 860020903, 847643064, 158521955, 205587302, 838529161, 162888620, 681789504, 664261695, 522810810, 998448385, 220613870, 308088518, 560054332, 178877802, 725840018, 456215807, 847476751, 238085923, 182248870, 985172964, 783711673, 361328101, 716461129, 477774976, 417413864, 373145342, 17150855, 43509979, 274627562, 554792502, 893356104, 559075715, 135343297, 873183618, 445273288, 569469879, 245873584, 363363981, 834943680, 347605172, 872968365, 527869044, 694815665, 153125420, 637355791, 896939249, 915728807, 27444900, 922033563, 921855882, 277301690, 575481005, 162153756, 163853329, 481201045, 296155141, 756457708, 901060185, 195675794, 217936692, 364493024, 61434761, 131126362, 870470561, 189890544, 641774036, 46517980, 119321179, 596736714, 228459721, 485118487, 242049107, 126196134, 32531433, 103725996, 301048872, 349849034, 564862110, 620500446, 324710666, 795335813, 335956172, 267308978, 828861281, 142996589, 498222481, 547238399, 635896867, 677138856, 470748401, 733404382, 351376008, 72515190, 207772873, 11343098, 808023433, 29443396, 58826960, 796825727, 717225597, 439769447, 995125173, 356683897, 194635318, 373718443, 605798583, 727624925, 783191294, 489409286, 201492433, 57641990, 359569956, 819104147, 795664636, 740950742, 168674752, 589488128, 324083733, 300024243, 40737812, 324882906, 856273590, 303522106, 279567373, 945909377, 459488216, 930067298, 179099437, 519374885, 454963991, 42420956, 4116859, 150911745, 227226597, 109139706, 7815158, 196679091, 415587897, 38659132, 760895434, 492302112, 704190548, 281591460, 209294963, 227692270, 821198676, 57634937, 903870702, 659928947, 835732760, 914797490, 346688632, 377931500, 611022676, 985773875, 556835727, 339897172, 337649660, 595569966, 512647760, 135836986, 11332383, 613223796, 527161435, 45621716, 614596364, 49358072, 28683833, 666541122, 536325044, 584664389, 788706559, 862532560, 953836857, 105542615, 373555542, 546021439, 320088626, 357621387, 721822377, 509490610, 4655898, 350200894, 619829527, 347366158, 363249662, 325973020, 237572053, 692304724, 392515816, 378416444, 290118225, 331539116, 19414523, 860198111, 213598105, 382821394, 166131399, 802371177, 889486248, 77770993, 757710861, 604427207, 217662356, 563923889, 250179316, 463331004, 862648688, 992102944, 401720281, 886658212, 837987806, 389899420, 979199859, 912228151, 439592991, 976916863, 290338806, 20799983, 748502383, 516549738, 392822307, 959251502, 563914876, 27804247, 601967916, 191681303, 656937990, 572403566, 609540232, 460549032, 922052607, 742389113, 21936845, 349384935, 369088395, 723455024, 624095854, 1548430, 445489511, 167368520, 171770706, 470689207, 565227397, 876667933, 400411412, 261403578, 910898248, 286515389, 529835068, 203212658, 614341299, 702872967, 430053176, 466525560, 777878215, 702374103, 3552794, 450204238, 409424013, 318329091, 585753290, 624938707, 164615625, 892558739, 191440483, 230013644, 238478488, 887700280, 196584505, 305769421, 871828410, 452397650, 807127006, 922629372, 358374057, 406265301, 605644411, 75912524, 764739132, 85265969, 649468760, 196462725, 346689357, 510109176, 528901219, 286585575, 293637695, 811302582, 59101614, 151261439, 519095850, 517050524, 631334846, 321108636, 811812759, 971527098, 253910835, 879838626, 549502188, 332946901, 79450967, 631296297, 215362527, 133913156, 586116961, 35623089, 6024214, 860829666, 788776454, 653907395, 319791400, 67022274, 552505054, 770741595, 126233765, 631889696, 480950716, 83249555, 694782335, 140907420, 470477761, 765136424, 448442267, 785993506, 200578581, 541679080, 198635730, 858305701, 891628985, 9659826, 504988026, 237424774, 915796033, 968038032, 524380001, 178565496, 901052740, 822719558, 231809940, 41917432, 519930668, 356960129, 300100539, 847010947, 990655534, 728983782, 172274615, 78468174, 677328424, 544689510, 19005926, 337289194, 667148295, 951884869, 155948433, 497160816, 944560082, 401625931, 325055665, 137315653, 542071790, 209109143, 751042561, 415391277, 113640574, 887348413, 610991822, 252299863, 93116609, 330764788, 803510923, 655510523, 608614358, 818062223, 273329600, 527643819, 635117535, 633598212, 438163038, 242332743, 831973842, 780109612, 737231886, 315322639, 97508906, 881221045, 553387464, 713951774, 461824405, 480876614, 874963066, 878550508, 443920934, 695111174, 127376756, 914853982, 907424498, 184545145, 341996974, 245426177, 58183828, 515296442, 327538092, 217933694, 971113739, 407186971, 580291849, 377440843, 235769980, 295621144, 357611654, 554704196, 128406826, 829541491, 30466616, 257997904, 370532473, 618606756, 936771549, 204291158, 803781839, 897501949, 171434622, 673373600, 670559816, 694877963, 590720507, 902874117, 301883512, 518793197, 671124926, 881112596, 770848481, 315222975, 663104905, 494946600, 564388150, 97267561, 372154749, 518924991, 303964551, 900799306, 740035372, 142141013, 107527541, 848929095, 182848487, 655933176, 125702344, 675988092, 111165940, 495740814, 30373490, 815851093, 449922636, 64656239, 29149277, 26089487, 581809328, 226607355, 848085177, 705675331, 613417979, 16570140, 506886428, 123067839, 719629827, 795787423, 598606497, 967568991, 899243260, 271756892, 700371092, 25931308, 26198816, 403639769, 767167335, 602386321, 931084191, 88224520, 38415275, 926286667, 392131471, 910154934, 11075179, 420481914, 442483240, 72836359, 698547310, 246659535, 864027147, 791493809, 684809394, 76509389, 366254389, 34617774, 978992564, 626153707, 546072469, 591354578, 598519903, 761884761, 457777677, 212728064, 15849212, 4611980, 964254701, 82651506, 73732866, 392234076, 802150653, 487613192, 944103032, 816939389, 604559892, 759237854, 260730274, 35192643, 89055870, 386354938, 848264754, 946936969, 843111068, 323973969, 806719816, 980100423, 98463770, 758711925, 886799243, 164798552, 41698868, 436092096, 619210580, 667520407, 36451125, 909125133, 821657718, 238778562, 377235211, 721775411, 456509216, 462914427, 518197024, 88293058, 932114554, 313882095, 312733745, 872355533, 263949758, 388415784, 305435606, 28412617, 319533350, 94639747, 762587981, 666710679, 83859407, 542871024, 271967250, 148545220, 353831150, 791551191, 125862223, 362590246, 323977890, 115484677, 6019688, 512936262, 717014809, 82100506, 227961676, 557417753, 745246928, 68257842, 323017522, 773016783, 736077339, 12961891, 602649399, 731548317, 372838068, 846933162, 626671355, 210406311, 925337561, 665586888, 968626701, 892005616, 540728317, 413006333, 355656633, 966292243, 96435156, 973262840, 100999979, 600510043, 97821795, 170374302, 647660956, 539807106, 986717507, 293868082, 349696651, 819508671, 878619309, 944288454, 936523004, 309312441, 875997557, 749946495, 280640834, 87768712, 956114985, 166830175, 105132211, 95548008, 380955894, 387943747, 811540045, 336313080, 698082597, 498864752, 758019087, 832010724, 950082791, 629932730, 808475336, 860309916, 351071325, 238366065, 935296592, 3668412, 938311508, 126957413, 355047600, 865710883, 323900481, 288564082, 565191639, 935367477, 788689910, 870412611, 537639195, 698917985, 386072577, 7313761, 290860953, 515772543, 959855068, 954524664, 8862308, 798400357, 842800663, 917070356, 383651130, 577331904, 148484329, 17306149, 342813917, 614770534, 659286665, 874813984, 152177045, 554106801, 839284810, 962679130, 575789993, 8131636, 783866774, 841292657, 645148612, 91068980, 88645169, 558652560, 226906559, 527308124, 17465991, 430136063, 383516320, 869818047, 802266189, 76916045, 564826273, 532061275, 892516066, 89803371, 883444819, 929065932, 8616812, 359827101, 232999039, 693727481, 735243923, 435022588, 295275264, 728668698, 898155963, 963202554, 403847556, 230791474, 877819350, 905102345, 169769499, 213247503, 340177494, 90992303, 245947109, 109174818, 958638393, 121299546, 504449620, 234662785, 553987266, 341945512, 714565280, 175678558, 773193395, 1623139, 574660747, 103582682, 276429086, 346651444, 157839180, 617795120, 148651093, 593181423, 740330698, 209079550, 923937856, 12797567, 126162468, 886995713, 968604512, 740841017, 243020815, 700443436, 807296832, 194677922, 117711649, 732063259, 710693098, 832409885, 873537819, 297527157, 181688902, 152642064, 862941280, 292622165, 351047372, 64754880, 569426378, 190922132, 294760274, 470233271, 438504247, 993548254, 471454325, 901519269, 734319218, 349263348, 478176604, 866378393, 745053775, 744953362, 844854784, 615555932, 387129023, 294130679, 969627478, 805654692, 731743662, 124238449, 461513883, 868520111, 14919334, 94511310, 29032185, 731897651, 817953686, 256890004, 971008401, 514799272, 448367624, 650827652, 985024345, 52719299, 843465238, 658303241, 636499056, 996739013, 756494292, 680835804, 697655371, 718397989, 17550748, 355927579, 956916810, 890700805, 433984990, 473044896, 275985041, 445102639, 419200798, 524492877, 891046142, 907647773, 242056973, 483590826, 665978327, 121765916, 557719973, 533354486, 925365446, 226007661, 5332999, 423016141, 420580133, 102845040, 163149943, 873510515, 862420849, 97975506, 215978997, 220043430, 983523729, 753191373, 593980938, 839919307, 296370250, 375744665, 705022664, 775580516, 196876485, 76138266, 128175397, 945919836, 125457932, 426710260, 506214449, 727157848, 978595295, 545500007, 34203901, 797893775, 541670420, 737025198, 298445709, 871107063, 532855197, 224150596, 75475204, 272399715, 168726488, 207600990, 708753406, 561245500, 86712315, 727500531, 398510647, 524484692, 465521780, 953826676, 175745332, 401610474, 14579580, 529133310, 288533963, 833672219, 955018458, 81989640, 271138425, 674572195, 671535383, 235269731, 862448664, 504036447, 51621376, 945800535, 6476043, 573152709, 865440492, 719620781, 114688104, 809545526, 751817545, 742229461, 489481270, 33792834, 632890735, 505618866, 360285116, 386805994, 892462501, 104767598, 269078066, 514657557, 514708623, 996557048, 260494303, 814901967, 616156134, 118440104, 765734358, 428810034, 209563708, 447230756, 235021263, 14216783, 553730314, 288914882, 491057744, 339368314, 864577974, 528632241, 34812240, 243993642, 338103428, 312376520, 899321460, 590466953, 297501317, 688043276, 540565541, 124608341, 839758824, 356843605, 614184891, 317991766, 596635352, 286017058, 609109896, 480042853, 574436014, 58248051, 106942818, 996905257, 121309945, 225020857, 555435680, 30747136, 928718344, 708858781, 993885791, 170740655, 960711902, 291478121, 643450211, 829084170, 215798592, 857932810, 575576701, 113119216, 560521496, 409189838, 319393816, 585412307, 425194133, 27003322, 362523744, 729733417, 646102152, 423154308, 936374439, 146326580, 385979185, 103809860, 387008936, 464588824, 213104709, 684103624, 217825204, 797301245, 405360474, 802858892, 293486672, 873656470, 133576916, 120602821, 739294818, 528498865, 415758517, 326902787, 483636190, 119510556, 141534409, 665738013, 212909891, 517042878, 203094947, 983302662, 78187401, 31258488, 63921641, 56412730, 794006325, 52219410, 634469709, 425550343, 52666923, 4534842, 299751529, 678607400, 390982702, 935633177, 355940152, 678024050, 841649185, 218284022, 22301541, 226896557, 421813960, 420616579, 865697516, 56065528, 19821122, 508167721, 756024829, 546901121, 991034233, 176294376, 872175804, 482536733, 498987920, 59917598, 863370901, 511223228, 583465000, 613393262, 198814777, 487832434, 961546742, 547451709, 795944975, 829045542, 941328067, 248849396, 505256106, 138175580, 522429434, 449269580, 793883394, 113187057, 976117237, 783508721, 909115204, 470794726, 181649534, 573976775, 253646660, 781575941, 425942890, 109197689, 746517302, 789279569, 142003625, 424948020, 223550689, 645645272, 193586664, 27159457, 148296075, 275607365, 927524129, 412552829, 548980957, 935128069, 419780876, 852001130, 956430665, 48172800, 673549923, 941872796, 886985021, 609672461, 794695207, 671872035, 305772305, 234868324, 726864652, 931028418, 539788876, 867812158, 183927169, 75412063, 634636264, 924156982, 708803038, 496750268, 877334720, 477417514, 99420418, 857346448, 765923280, 804701617, 339488092, 61909880, 679469359, 126367090, 654494806, 751169726, 737175897, 166378801, 155035088, 17299194, 709331313, 308071141, 180738283, 793775583, 19684127, 19209381, 243515653, 930538119, 842710230, 17942610, 264680471, 506344209, 56980873, 210374721, 304759042, 746666873, 838257766, 839160696, 64688604, 95393123, 927580673, 550257677, 352497594, 790510488, 734295464, 854342993, 999610464, 620761083, 767742344, 235174184, 874773291, 624201581, 815080398, 188342840, 371842308, 939194113, 852928767, 652657499, 817369621, 614854964, 453203774, 551407712, 699096411, 705055547, 780781647, 321656814, 385862264, 85928873, 300692331, 678684351, 120011662, 735584336, 527690193, 790515950, 868669623, 603883528, 217466522, 855616916, 660196817, 845540867, 273499993, 254192723, 694358771, 666706615, 645763054, 286168359, 727300873, 532457391, 43003832, 170204350, 422518343, 947654308, 574167677, 645626117, 945607201, 542735900, 685320487, 366221387, 230529006, 409773422, 472875821, 709577376, 801032056, 740830868, 51538542, 469369696, 77406672, 813350152, 552968528, 673791239, 225229775, 205663862, 786688701, 176306956, 422243110, 527658493, 510568415, 682245454, 592406766, 847743954, 820578667, 830034912, 373970368, 806327924, 566529993, 516526444, 285312740, 886104424, 809905263, 623686604, 426659654, 645681381, 232945425, 68128278, 909176104, 161713788, 644253273, 588404918, 828240957, 150260697, 328749007, 476060571, 114600678, 135001089, 673140275, 365439013, 416424678, 644060071, 864787817, 613194722, 393923865, 866870978, 889793885, 861865710, 102915296, 256337588, 614063701, 767674342, 716229356, 150124209, 968811881, 564065141, 375653299, 527637992, 48686693, 150335930, 378745956, 212028729, 732050540, 862181103, 340083089, 414762063, 959842447, 833911605, 983332929, 353604631, 44366063, 687822279, 888168686, 238190510, 808831972, 563099313, 967871510, 845853609, 66208014, 36617996, 938833023, 222902138, 488301174, 692166263, 139693364, 205176816, 921771151, 930159289, 481391862, 557038577, 465332151, 482606905, 996701952, 66247429, 727031819, 311807070, 73660129, 111020327, 145266747, 240923858, 131613367, 302799568, 548838018, 876298265, 645908321, 964300742, 276266534, 621312810, 721784815, 500260074, 619281019, 683238664, 868776652, 707233888, 832531814, 280823841, 674502504, 90865619, 913683729, 842972115, 945967240, 926890243, 760838143, 655240474, 286670486, 514483584, 816190499, 666858598, 435379960, 313264412, 336667109, 373246507, 282413623, 442281779, 276295425, 267898608, 189406036, 599761947, 99047858, 804313191, 814305045, 967582946, 92553991, 965052562, 223541662, 133044252, 895188983, 43923505, 820256936, 8594043, 740168068, 492939924, 711099256, 218566894, 944813295, 424283290, 61327394, 626058633, 741515909, 712179036, 653967523, 715107228, 751981527, 3137913, 918542318, 725007031, 520858238, 69450244, 839892895, 155869144, 937976567, 39643643, 644910253, 868051409, 885568722, 393526762, 229483146, 70003895, 64860386, 887739113, 128700963, 758553273, 271566278, 816646492, 418291717, 944548856, 399782106, 831628998, 376708256, 812214926, 470034651, 31789836, 28807170, 374287928, 776560793, 764269717, 799733444, 748907506, 380034697, 895917184, 404831593, 183687816, 745952, 944191970, 509268923, 600980427, 5085298, 714547544, 382406660, 729990061, 155344396, 356028284, 149528194, 831015131, 674678123, 490489722, 430065616, 53570901, 482246653, 410184220, 334612217, 810601908, 828203049, 572410539, 527657403, 228224705, 214139651, 950886686, 314580937, 129067424, 589263987, 91603442, 775722452, 457016009, 534903576, 637161065, 719531877, 209424915, 208069716, 752095594, 903274913, 618476907, 243974664, 277212057, 76885468, 796375448, 974645489, 24556775, 285338503, 123154396, 551747290, 111568229, 46999531, 230863837, 587333606, 691557862, 481543386, 625537143, 790306826, 997033083, 954250167, 197159879, 406987481, 511246551, 794438953, 82295816, 106753047, 734799017, 664600551, 168249693, 167157596, 758413417, 519373845, 62559757, 703076654, 726147534, 654504152, 750182552, 5264990, 15922142, 917974257, 316831820, 443996663, 284087452, 844875327, 279146242, 417926613, 483629159, 383181748, 116237977, 408538347, 602146203, 961904220, 142700688, 562814588, 920263661, 718640522, 998173338, 809140976, 932469993, 572186583, 894547704, 156069635, 514345330, 772451942, 718237761, 801885816, 175146371, 61598703, 863247014, 605820245, 206981152, 68404201, 604116784, 641547639, 568741525, 536934066, 935590773, 23653388, 149106803, 548946924, 426149657, 326692408, 594743368, 695108009, 866838431, 301511561, 628519622, 805310959, 544911922, 57886393, 495120213, 812554999, 483002266, 463016315, 998417223, 666747464, 26515421, 301017550, 472342633, 333022634, 897247115, 978458544, 625752749, 950263734, 92310953, 754996106, 480528958, 27722696, 75653458, 159238529, 722627505, 609465531, 90252449, 322310944, 31642264, 131515499, 444705042, 649074604, 379237923, 132195596, 119998172, 828962578, 898593598, 273412104, 476024050, 4691744, 442569029, 849636847, 904622886, 955571047, 222935633, 168794944, 573115349, 741911696, 304202440, 936926723, 760321100, 575543903, 682718866, 400328710, 525289560, 822239178, 815183269, 817713730, 926901807, 32127581, 272993221, 298745498, 111813516, 360645676, 401403586, 644223332, 998249508, 31600255, 829507382, 816246621, 579917048, 130089293, 652837932, 920066782, 821334313, 90514469, 350411779, 400131314, 216197299, 863952707, 456280890, 560188289, 773206930, 148650077, 672029565, 585208908, 116431784, 685210989, 971178315, 240010842, 448516288, 16254123, 565203423, 110907214, 982732622, 902708667, 819433430, 230416152, 48752405, 465763617, 231065968, 500581465, 487572986, 718193419, 990965742, 953416798, 776457902, 143368707, 158913776, 466462100, 866263181, 515896352, 972975201, 684560309, 894291144, 338949867, 326373275, 123112646, 789189837, 581926181, 17732616, 851344473, 184711382, 461032758, 273594742, 571678423, 860215006, 724749278, 427702468, 82506316, 670945348, 827789646, 559117106, 401369614, 697218993, 667648338, 988268806, 947038199, 463646942, 546115687, 97510810, 99569623, 829736657, 103305674, 29229871, 550005752, 154579876, 744489439, 886664995, 386125615, 908051924, 19736711, 401271857, 604399556, 306617997, 364652507, 586968340, 781873588, 503104593, 488002539, 586410121, 768846050, 1568432, 818992504, 7660625, 224557192, 255343396, 767900074, 585557136, 306599221, 773730806, 73353819, 891720632, 50908631, 904627298, 855529184, 43126526, 968407908, 881762608, 559155108, 134192569, 280792979, 753461065, 900957975, 263234229, 44208724, 87645819, 655477151, 233967427, 407749621, 212623287, 478618156, 566917681, 792173789, 966169951, 840914823, 237786858, 926234103, 375473205, 910693978, 944084181, 45421831, 149547911, 38207073, 51686632, 614707792, 104856427, 425021309, 401633962, 94751769, 244941043, 750126923, 448097611, 623233884, 204095126, 507432378, 166202606, 122524828, 605197623, 776785850, 685650400, 331841512, 545711454, 714010478, 216636264, 984384218, 404488873, 54131301, 56062909, 306998960, 633046080, 276267690, 194603695, 472147326, 15185984, 628611355, 277440106, 590285907, 875651847, 974237284, 719676543, 174143026, 518017108, 726801932, 944456157, 989133564, 798939736, 769985371, 82041569, 441256904, 210350810, 521474088, 734098578, 435775015, 689526258, 736890258, 565145607, 49857634, 267134755, 717545579, 739822624, 281879211, 530606124, 730607789, 168727429, 97834024, 337856638, 363074111, 861213638, 904341948, 261635739, 932107255, 30452938, 48409254, 297354743, 162103906, 454598914, 34186374, 408835788, 705307603, 337552519, 321641288, 241277747, 369379670, 567396904, 134986305, 695314153, 404110092, 754917643, 790827746, 535059301, 889740079, 589446825, 90604502, 556159162, 668176069, 896513407, 391987402, 238172319, 435834827, 43391744, 973969804, 48416097, 358944138, 509782945, 139625456, 559444596, 883900479, 834792492, 682790324, 802552884, 829648362, 352517731, 788207221, 899858942, 134819556, 621650791, 412441163, 915063643, 887548612, 411437797, 120317155, 796662395, 425994519, 936900104, 227353806, 720744740, 17266916, 169285698, 752787598, 848679353, 112364338, 401141318, 733764168, 55858987, 103004765, 39944461, 54906123, 205273841, 973602612, 942819055, 61825655, 93301826, 485952105, 164406926, 845223727, 679506763, 391680125, 554553421, 571657240, 73595615, 122757790, 354157299, 150688560, 276376243, 523638912, 810520648, 476866392, 904314344, 38053179, 210873598, 603618974, 438570548, 142469442, 290568677, 893005246, 49567424, 617727696, 521610602, 618011574, 638420441, 341063479, 96294263, 796185533, 709721583, 798283654, 312405541, 138995958, 709272470, 798006148, 987699783, 325398884, 511675272, 590142503, 774432085, 10148820, 406562717, 183971506, 874279690, 19464947, 948277442, 568139416, 943667805, 574992148, 991268467, 236753669, 637636823, 43640085, 583717194, 972092724, 295279743, 61260554, 763512092, 581909167, 163217939, 148941335, 126166204, 150916561, 381711653, 538618169, 546746730, 952017771, 513459929, 431201762, 89528089, 8548438, 559853679, 94887378, 927744167, 71653291, 740173671, 32063491, 312321850, 57973410, 991679818, 839392567, 898612627, 834553983, 436369257, 644991453, 832386995, 938693234, 699894228, 14206193, 658850009, 432583042, 325336156, 2017106, 366384796, 260300826, 60919533, 993052492, 794683065, 918075298, 205580301, 951019619, 975593477, 265482399, 969456666, 57956716, 792598880, 563455480, 436192097, 690520685, 582618554, 260757957, 134367008, 955407464, 812663967, 783729153, 580231398, 81835895, 430821380, 943755880, 741126943, 374756490, 398723405, 453215474, 248946356, 45483650, 43835542, 870458881, 713282757, 235785518, 531230255, 661933192, 252727748, 70146922, 118156690, 987210600, 141993235, 601468995, 889008403, 636986991, 298595624, 419355583, 178200335, 674820236, 160936623, 884847754, 935220425, 501174492, 659575282, 756210355, 149812858, 595788790, 874684823, 47211140, 320735117, 793610159, 675011797, 394652841, 44857752, 722438102, 986969957, 103850695, 301225586, 654151211, 234011728, 259958319, 295080655, 136706538, 452785692, 481021383, 115520790, 365727621, 997088003, 45071623, 841714903, 787060319, 364843656, 195461527, 827127026, 459147883, 651183239, 118368451, 246920127, 317715813, 874385144, 544755707, 305642648, 505495417, 840161332, 698450842, 361262978, 121252920, 338092984, 633814892, 901076050, 74831546, 335399023, 74856230, 12453937, 904123315, 644357029, 186796279, 456160770, 243611970, 657494820, 400279817, 482387450, 975726499, 429259375, 832238962, 612281269, 598269967, 296854634, 644151908, 763334758, 569677954, 592901958, 608758975, 51813314, 873120703, 907643013, 603557405, 731284175, 314622742, 609236123, 608679428, 319463638, 175281955, 596859643, 644970081, 444844174, 316948019, 820327300, 843869552, 567108503, 776242629, 450280760, 949250668, 670853958, 582014473, 831968209, 190593455, 974535914, 647543843, 671463718, 532563503, 431820998, 146460320, 206291638, 515928881, 862361568, 896724018, 982747716, 938051336, 403604782, 256805610, 104749047, 538276656, 911456011, 975368893, 401643676, 569543605, 967727735, 545979119, 455271450, 85200834, 33816116, 290436955, 213806573, 821784743, 437644754, 394187563, 108117940, 63496517, 512403146, 80411999, 505262537, 622606409, 217765854, 766050030, 285790230, 959204863, 187333399, 753169501, 141271239, 389520933, 462335941, 980801386, 180291396, 655802756, 947183562, 94889144, 274831586, 131095571, 109003229, 813827549, 721217896, 161108571, 314621071, 492343666, 876114107, 73636738, 589095043, 924972392, 197631930, 899162227, 282358044, 929309417, 254890528, 245900069, 656489844, 665046564, 217247169, 359675751, 177277125, 450598091, 983506699, 330382298, 913886350, 493957722, 45481941, 384019839, 882682410, 502017352, 462995930, 957857740, 852788741, 418426246, 608130514, 273922584, 356220908, 813611614, 214487950, 741091149, 869773729, 893380408, 46781772, 559460274, 395363551, 197874410, 101478046, 389423897, 343649548, 944120608, 315190705, 786339034, 439198290, 589460741, 789166110, 313079000, 673711264, 747451599, 914912580, 541357844, 991159504, 615465879, 275506511, 448689159, 978279083, 835259544, 543999257, 24687318, 908666056, 279332005, 729723883, 516302641, 605964459, 705159115, 663261779, 384831929, 434184409, 531735619, 785367151, 557881968, 357603987, 891126518, 598032362, 31055738, 97820923, 924133545, 815336238, 561488901, 56097497, 122139263, 749523833, 59884775, 341755541, 866095435, 315464137, 77598137, 174502776, 189203630, 602987773, 205920893, 17429446, 179025913, 502496808, 153120931, 752291006, 447186540, 487138560, 948921569, 291680212, 253600639, 90395214, 289067518, 451101410, 547791463, 421063291, 969595279, 306175125, 406763569, 864735434, 982483727, 599590376, 217680334, 901167557, 585216014, 786244347, 160480052, 422615502, 99387364, 762112403, 374864743, 848003242, 77602407, 178270711, 396222631, 971761615, 177748879, 348161389, 802983027, 11913253, 493651836, 868344718, 90877235, 129660921, 627492804, 73371451, 983441681, 298122262, 8152844, 979818347, 307882985, 895089115, 771679146, 808414486, 407457050, 503285195, 614840972, 342929459, 549965672, 344996240, 87238266, 35458675, 714809930, 605169889, 682626401, 776540511, 551156960, 691351312, 962295238, 626221321, 863972724, 29278597, 468457304, 749753627, 147711730, 509893903, 94810845, 211621586, 721567103, 901058636, 654172457, 401715456, 545843713, 317460982, 192680383, 791897081, 564178132, 790014838, 100757419, 680995064, 812719090, 961552685, 613357458, 64763884, 576092755, 358580603, 470939552, 675202461, 451306154, 999876339, 119171633, 533613119, 987008322, 449507825, 740047442, 181868530, 869945832, 369019657, 920946484, 635280211, 804018697, 500679846, 745537736, 425306021, 152897328, 202841691, 366797627, 825436644, 687363010, 734577782, 444621678, 776494496, 16083514, 745337355, 188924033, 348598556, 827908871, 115309849, 710269220, 297687841, 924756512, 823131383, 249303202, 734208123, 444912918, 59554789, 84223398, 688585079, 62200453, 842083359, 980049132, 290993973, 245471651, 753578616, 172063049, 987348048, 489423523, 368975402, 159457570, 687922523, 675862684, 288947500, 358855219, 71303348, 810512326, 197915930, 953536947, 36401469, 199196430, 967892885, 963818708, 405115570, 407802255, 399521244, 921808441, 728531559, 394930638, 721154429, 93797015, 39687564, 136828780, 316138329, 663225070, 391522423, 319873735, 692864702, 997173652, 232296279, 259435829, 98585663, 646637451, 139095057, 868684859, 964603089, 608595472, 459641968, 130988088, 246045199, 644587559, 456320423, 924917484, 881886535, 43361075, 150343412, 686888672, 232192739, 265414421, 250488334, 783410977, 978691742, 288922073, 503694916, 229737611, 479789616, 70285402, 936475020, 774343921, 17274824, 226108933, 788431057, 397799784, 192540886, 105930664, 731417747, 254553082, 720291425, 596464526, 511360628, 553006632, 297268702, 886853745, 941920279, 380472650, 504978217, 58298503, 355176448, 923418073, 387687218, 676698940, 157599566, 365999746, 437213782, 496873955, 401710291, 233551650, 16975153, 523933492, 749021060, 784273253, 519291477, 343687585, 93830913, 776999815, 659438029, 947046894, 578309902, 111728011, 667415000, 357582665, 558883773, 830776375, 333849278, 721722182, 703540756, 898570374, 617124387, 310787083, 774334607, 772413005, 794459560, 595783345, 895633763, 34416355, 409114322, 915035757, 316654196, 772560011, 949583102, 974102427, 395781286, 990743938, 147323388, 400043070, 349311507, 921454242, 474764869, 437229296, 304901550, 693151514, 326086363, 253675125, 244932862, 842929624, 13282319, 475239205, 90848049, 373719392, 560711086, 183781342, 271831595, 409396200, 389511672, 462623986, 726496289, 709349406, 958355389, 74189009, 845300554, 58675752, 352831574, 864587334, 115366442, 609513971, 934845243, 35643750, 885915528, 911273591, 816954089, 437247942, 930241408, 170933878, 20604308, 650123995, 709383080, 482773516, 283646983, 373432115, 904676107, 444534127, 531094891, 43995747, 157281359, 169239209, 604056518, 278049886, 132660973, 439015261, 287551777, 54818071, 415686787, 218330469, 377529158, 839957254, 862102121, 151043944, 674950136, 483167665, 849126797, 241481054, 922737226, 784746057, 614746993, 396043846, 834335070, 604554326, 730756514, 385495111, 674377389, 956379977, 618305763, 337785935, 715440644, 476972793, 802308420, 428149247, 887740980, 368144840, 85353542, 249523063, 276382215, 976332091, 98153276, 494916727, 946366131, 344065388, 72009121, 929805104, 80873833, 320602429, 919267454, 470275413, 140854826, 822495941, 817491610, 666985383, 284740209, 18716842, 209938324, 696184993, 236965932, 578667392, 506509357, 785204807, 846699167, 767665314, 394963136, 334413827, 368171370, 482615567, 737658627, 117552309, 76450895, 445157856, 340498158, 65574130, 448058823, 315729914, 979556668, 14630130, 904904952, 44172352, 458335033, 504051238, 854000915, 662700933, 281384055, 506081984, 503903839, 145261992, 151445689, 927469417, 528118494, 88281267, 894116944, 115807196, 124927351, 729722350, 277392278, 98191301, 327349936, 142566864, 254881259, 874156992, 403161705, 989767753, 552612175, 40427362, 527620265, 89550006, 538429069, 247953851, 183931256, 510305736, 958715645, 27694868, 869051946, 312870119, 856399506, 400740567, 890945059, 733473860, 603796796, 808286810, 969246206, 868976883, 912387714, 519024913, 539864705, 412882258, 889747215, 272563010, 198088245, 308093706, 680768634, 772158495, 978812588, 280637011, 282555321, 869870544, 318271157, 856221828, 216451469, 595255797, 376782223, 684968008, 759816298, 144167171, 574205142, 929047629, 355330925, 302416213, 469724939, 947829143, 276146311, 763306375, 460726273, 737494178, 638825071, 785539555, 710083490, 882370261, 346455611, 471854852, 335361979, 136826708, 435103126, 844328474, 868180702, 220022580, 257223934, 677936320, 14671391, 813270396, 15710393, 919057131, 752304937, 822014627, 407790228, 760568240, 185970632, 760380959, 949184336, 268453583, 642531661, 968139014, 169211546, 611416364, 354863554, 210214008, 701285014, 617848206, 287025237, 5318640, 124590067, 766913767, 331985859, 780854872, 627796985, 898425314, 186695148, 865405493, 751346933, 762588586, 904982268, 51115700, 192568706, 29132853, 715023727, 28570065, 81358613, 343701056, 898252970, 576704912, 741378426, 203033417, 671063232, 785526687, 888065902, 321377600, 627763203, 981446803, 96120970, 479938043, 987141460, 943224019, 512366250, 852714074, 379899980, 107071413, 530507645, 55300908, 597823255, 892858167, 297502490, 550517556, 984755957, 981917255, 138022217, 337271484, 949808621, 24650377, 387718345, 469310635, 305953421, 188264951, 968642843, 132467493, 418745577, 889150904, 84258153, 95161213, 443494753, 595902024, 891001573, 517428278, 831384917, 91626797, 253675083, 963101964, 780726771, 800360336, 178014068, 709308416, 949425695, 640714251, 207550165, 707897245, 974917586, 594823928, 905138312, 837108710, 683557234, 652273201, 367851126, 316971601, 303069439, 432162576, 199290590, 619667187, 726805345, 679128959, 912269828, 96268891, 746215224, 516526659, 175743768, 875196862, 690086086, 252201484, 566388019, 782882236, 137075038, 321711624, 512419296, 650204411, 307762804, 965121313, 438651448, 336839422, 185351177, 960778884, 340651733, 835682389, 928222948, 429260244, 78806605, 537362978, 554855102, 781171816, 419601749, 491924074, 297878948, 914319951, 76966368, 461638852, 442909041, 234435927, 415528462, 893342427, 453624218, 105704223, 762344355, 845418225, 270554669, 232123815, 51115109, 718049547, 67851399, 616049285, 784732421, 927185976, 9577156, 474627485, 326528843, 231403147, 774274924, 382524038, 308271310, 33445745, 139727837, 248085934, 77457391, 322849257, 976383339, 813849395, 899322820, 874679746, 110835574, 344643414, 358754932, 371434302, 821388655, 260605552, 442620237, 951610963, 450332860, 176779883, 111867346, 892903248, 498764257, 694953669, 792857581, 628229355, 562994707, 66497461, 106298323, 278122870, 572593785, 436870733, 572721622, 668881828, 180107548, 766075694, 385441364, 112918300, 423982389, 447523912, 96187471, 616701601, 514933772, 9400477, 924143705, 295995027, 469623814, 121473651, 76135021, 176985357, 723696159, 315783421, 337462972, 699565982, 96321467, 230026055, 608942560, 454013562, 37328281, 6226158, 543175927, 547927152, 669055477, 732078064, 327975341, 242118642, 379383347, 115307271, 62547668, 386037581, 847848534, 368133106, 301811262, 815159943, 650874510, 6610665, 932848416, 410932843, 207289493, 793566364, 886005647, 811797370, 989840316, 440796671, 382278245, 660790301, 149691151, 262630483, 983936200, 10160859, 818574610, 636152082, 599839463, 253176246, 473472964, 658581596, 330045502, 392216654, 722130960, 220274359, 371833359, 132544099, 984208176, 798416404, 198180975, 965268905, 661821990, 295530165, 673940949, 577071104, 591967766, 928931597, 367242190, 637987145, 772524160, 251621324, 934126591, 403672712, 25954882, 76598895, 875234480, 10365108, 709232600, 327839019, 656747799, 688629858, 740532162, 584034555, 985067624, 268909441, 301879935, 140291245, 480677240, 196547519, 436136950, 644334751, 556210480, 905776854, 812831078, 262066944, 143805656, 670802242, 694411898, 923983490, 51135633, 750844230, 216591495, 183212770, 603734896, 535985853, 48308319, 440033330, 809099784, 857589810, 981197910, 207525349, 829985644, 146687324, 626187141, 577517817, 972689526, 640729464, 130861076, 999302083, 514062771, 190821441, 212862011, 246813141, 369451481, 914550944, 47567079, 821062161, 166021817, 970546084, 812627705, 279084238, 676490359, 947722702, 351408433, 361154436, 937109077, 91923324, 166334042, 889787831, 253730049, 989911782, 928913374, 940956891, 685223932, 61699272, 797638545, 333640474, 432637638, 787687668, 553225501, 880890464, 885696854, 397606740, 829426099, 819792404, 531716641, 483221066, 865402521, 911765533, 449904398, 847733500, 138465491, 85569405, 28288348, 285394937, 170342054, 895089897, 939936556, 120732502, 440061965, 421660926, 456095193, 15897264, 470313662, 185697389, 574287421, 461787190, 860090592, 686290821, 303183329, 891117920, 944586299, 438954930, 503368482, 82563807, 130517307, 846457859, 880407011, 822314222, 302055157, 159486794, 695093537, 145461483, 481075175, 801479217, 834691539, 20538128, 193200153, 678420992, 295503949, 138039823, 196614693, 555531364, 250330811, 811372081, 760591746, 303014091, 500619917, 311709537, 278891613, 601935342, 963263444, 900190846, 771612218, 822436847, 647037262, 587952537, 696933423, 968346167, 259615459, 983735163, 936253262, 545826338, 697939069, 831467829, 244571288, 714137746, 568661112, 940668198, 944679119, 923366414, 468992775, 603841188, 23988697, 358820016, 395550064, 69504218, 87171965, 721760467, 751764017, 648693369, 432636867, 943043743, 600405146, 706927965, 67381461, 487260800, 381405647, 760188543, 293613717, 846662087, 85055359, 159800756, 997510607, 910355503, 185908729, 775202980, 992227391, 609527152, 496299628, 584513719, 507829193, 338835407, 888227410, 654941591, 808315709, 944770255, 861394266, 979652018, 816533438, 781289530, 644939830, 681921615, 249490102, 78477911, 679545200, 559417025, 840463968, 488779434, 923382244, 619971862, 555872294, 54032763, 196126575, 700415450, 694612797, 21377429, 389852150, 581927608, 366910142, 995476030, 220549731, 603850177, 555291635, 828132043, 434126545, 259773337, 336451282, 75973494, 829458445, 725794027, 871439186, 905841179, 975078434, 547054908, 944789768, 705411467, 986497922, 802074382, 876881151, 335581922, 348663554, 861956468, 152419514, 143997610, 745448980, 104532376, 157461435, 834253089, 611899538, 794195452, 464804029, 443749517, 34193413, 489623521, 230260220, 159092739, 291906959, 430301064, 957817843, 960741374, 767218762, 512759558, 539041532, 383892026, 542183075, 96505862, 614081703, 142566740, 562194765, 113784384, 12529021, 607132482, 15151804, 964577886, 886198175, 389771128, 586455776, 989436403, 352964607, 177131479, 521161974, 874807813, 139466017, 83627168, 819880164, 869055942, 282924254, 204313095, 945273561, 359126467, 597693132, 925975971, 686693026, 538571049, 46412789, 864626821, 548864691, 667003151, 293927924, 148604970, 772885730, 563538268, 550496729, 415766291, 987145060, 897006840, 323346684, 395995531, 517987997, 303300453, 790154721, 909626644, 540196536, 100810964, 925326678, 506377382, 610316070, 985987989, 607131854, 931495812, 570215717, 458244077, 994460092, 271883382, 730940026, 944244720, 482331242, 371730676, 887369551, 927279438, 249736161, 584237821, 448804101, 993074467, 150406190, 932722509, 969701251, 657216141, 188361118, 75540944, 932319092, 461985603, 953238763, 299938175, 747565366, 781736600, 326127811, 493624139, 992531689, 742789451, 382192287, 966395750, 389082114, 750089157, 156525144, 299222615, 42879007, 290637483, 231691017, 586334906, 897987801, 681812492, 720030171, 891086281, 183470388, 264226255, 85234670, 639142651, 989692943, 511944157, 534325709, 125728565, 638052388, 234604890, 810104329, 786068194, 678424485, 207548671, 317508662, 112290165, 640278950, 382789498, 316893425, 861480667, 579393553, 423945170, 573192301, 232019063, 134873293, 577950646, 559426174, 712291603, 805205627, 968348071, 196249838, 11273598, 900890342, 852607553, 2092480, 511080642, 177240960, 41991025, 282019292, 702635969, 156040542, 479734814, 828870412, 278764113, 327364761, 206616556, 656772247, 548974322, 315074308, 540039087, 35209794, 33385118, 377659826, 324094692, 936911919, 562528769, 699014555, 310802219, 909291484, 692358284, 29976384, 445452689, 509044045, 620488420, 891110788, 815666156, 475347377, 893716856, 404254587, 204196159, 281162520, 236110427, 261210854, 166025111, 665028857, 858260367, 890803065, 541040632, 450196625, 318551951, 118420016, 295310347, 177489350, 327999170, 989086722, 406245948, 782584111, 187896846, 235470538, 478932399, 858380152, 65838457, 761915555, 454489758, 741023771, 401844800, 444908818, 748349166, 591227847, 954570155, 618853600, 724592979, 799570103, 841809436, 255002747, 222938470, 429579245, 655928815, 262239002, 597595484, 239416391, 228709147, 736776686, 892520131, 145269129, 889161014, 679683110, 934710844, 479917953, 389543161, 629265212, 28883113, 191025099, 543313312, 185575710, 444350106, 55229428, 267468801, 768868101, 980227238, 873235713, 723785255, 778035336, 78274878, 65447628, 347440985, 70670310, 245695741, 421176432, 649648427, 452988508, 987329629, 181368479, 649612571, 864339977, 8286834, 697277444, 27550235, 884508029, 626700206, 132808698, 668176243, 787300225, 54307772, 130167509, 298539950, 57011203, 445804423, 836948877, 699275234, 985715863, 879774960, 484377972, 687853990, 554657569, 643786802, 551904098, 785717044, 912231894, 640923634, 617072265, 277974177, 470978826, 585705441, 980293258, 111951931, 637579820, 668727514, 262455814, 580261118, 387068369, 128241831, 184198682, 78218521, 931004966, 420962546, 843515939, 317665992, 613204656, 307289048, 840385811, 193262438, 61324030, 372605339, 298049913, 198586775, 73066831, 86584475, 770145539, 109594817, 768928559, 647747021, 731904339, 382809585, 552383279, 674200106, 254398644, 200568701, 717108682, 210484212, 17324687, 255153733, 245606011, 817820092, 647664186, 443138215, 358615268, 280346724, 978355719, 41966747, 307605659, 809043273, 892483853, 47957799, 642788996, 95780706, 350936185, 968613140, 246099476, 61121081, 23470314, 597565214, 134959753, 445583888, 973575203, 259914712, 415871824, 190481887, 660058837, 611189687, 430885489, 137973310, 209146025, 895140823, 748549999, 133294602, 78988699, 925188432, 497345012, 72718333, 692861073, 73109324, 136435164, 272642619, 384798509, 627649165, 542287902, 794898764, 801226296, 667248942, 988745423, 830405924, 963908103, 67103009, 866546522, 464302623, 509069996, 976843215, 230452633, 718696203, 785857939, 259028654, 579477709, 732080055, 136335386, 709251730, 548389016, 209676699, 738496698, 767542447, 963827992, 356509277, 704159518, 910092100, 150657723, 50741583, 354343274, 238880448, 567698747, 716515387, 571372127, 231365434, 525971805, 91906832, 3594602, 33615066, 911385668, 972698466, 343225181, 553396326, 960406354, 359951737, 512229221, 592189505, 651087507, 799071390, 795479601, 351663978, 148635677, 926003189, 460364463, 182635544, 717103329, 839250927, 803427691, 947428484, 891134371, 595004107, 913962930, 612001139, 205250125, 629994181, 853432742, 833022171, 164511390, 699876546, 83274973, 95604156, 279146206, 48659543, 304966079, 273488873, 797654205, 392699493, 662206963, 74708350, 529544416, 730013989, 762022558, 853654917, 27245213, 320656874, 989611388, 552683453, 659599435, 950395368, 229697563, 570133185, 77415048, 135365194, 200063614, 184318016, 550197555, 124487641, 716938895, 831195577, 801034811, 775738536, 138254562, 468684293, 389788379, 317159797, 383507328, 559410039, 669310546, 692847564, 779721311, 826646435, 723374252, 836718883, 172633754, 685273946, 267577752, 824804561, 206438216, 956915911, 679017582, 626167694, 234280253, 845846980, 150377798, 946256952, 808167382, 95612590, 245633876, 627871141, 282591039, 300677254, 989254351, 403796095, 956479534, 620304679, 962294757, 976716696, 382037163, 383446885, 995527043, 658189853, 174337925, 586664182, 286938684, 238077493, 1128307, 301633106, 594866783, 243288409, 954873759, 83821218, 693162893, 753185799, 110027549, 452326758, 522028900, 233693856, 201564575, 241882300, 30710011, 987888151, 162039324, 292757802, 522041856, 886829877, 709704384, 735727774, 715413099, 87066061, 157583319, 697044486, 876387139, 709426017, 362203080, 522771670, 449039494, 599193577, 889418432, 122319170, 634091149, 487625888, 527577829, 533203620, 426243366, 419135114, 783066495, 428601772, 335418352, 90149537, 11031146, 128225836, 117073344, 786496485, 627070974, 953891074, 37510795, 619903423, 73631200, 240318414, 482330508, 482165088, 290185580, 146095876, 18670628, 286150061, 538055448, 377362910, 738774635, 491972670, 185313693, 146399327, 463044504, 863117849, 329026786, 664867878, 685832689, 228738536, 291584996, 58373247, 174984021, 646644752, 170069709, 363896840, 906220289, 549471596, 47913704, 223405988, 303274584, 478316723, 159823190, 69410919, 240396522, 847932345, 852222255, 842326651, 474709214, 525539321, 603590103, 916341304, 601671201, 731087050, 115636628, 345631330, 328408428, 221367692, 364468949, 207696819, 334508108, 626958220, 167873023, 965848071, 937686607, 158728445, 840229221, 998742019, 775463311, 765322689, 844323707, 743642336, 334193743, 523263675, 60795740, 659698335, 206519976, 868983671, 994982622, 389994576, 331596265, 261328850, 491014006, 720531436, 688811440, 931672213, 455093993, 231715702, 289113247, 471270993, 178480600, 976884947, 232690582, 626720319, 991015645, 987596899, 209741862, 717897922, 599522881, 241410652, 813053529, 638842442, 483065153, 785688159, 217469483, 660592843, 253538978, 247799960, 397484047, 118955338, 89509069, 679792859, 993161196, 705612378, 333786067, 646931039, 337155301, 721224774, 490087558, 651501, 961233097, 924088050, 315885639, 42108183, 970314385, 114021175, 944274724, 107834385, 977833912, 930307576, 513141792, 458452002, 84545576, 603023254, 790567496, 535495113, 482673637, 952124154, 225268086, 760853587, 90731450, 332582604, 942559062, 930137847, 458625060, 301921063, 441543456, 259150286, 512220117, 11845456, 626039040, 732192741, 830868730, 678264807, 209181403, 962606415, 154830778, 283382922, 885993852, 798773008, 120151715, 217783974, 232610471, 937006066, 702743193, 444441761, 130310874, 810675237, 431852514, 366908409, 409177174, 639236574, 304650325, 246817502, 46327543, 14644535, 945926370, 750376370, 865330364, 190954518, 179507800, 934427703, 331454190, 981072265, 181460726, 977366428, 352419527, 138510014, 161772273, 589657898, 553010396, 324167031, 970301578, 717977855, 684076619, 876116007, 727796822, 833456814, 65312880, 242977977, 532634994, 9477022, 489298688, 192060412, 555687952, 462420809, 232521611, 798590253, 508650954, 331458908, 466554699, 543131577, 318712368, 726732658, 131051438, 91759003, 214048666, 554974843, 368742350, 45970065, 131018213, 496957436, 37747138, 30221812, 282842211, 100950340, 61773625, 911393116, 11107252, 471398835, 407818318, 187285431, 561714709, 458538337, 28323369, 560514097, 448493139, 448569341, 124989671, 617164589, 309237291, 17962098, 513936494, 271430107, 226219306, 382900537, 114124839, 356573247, 461879186, 788607678, 594345, 996006626, 389403417, 216053564, 861370623, 26130081, 733436704, 86032314, 80826352, 765188105, 917070145, 421878481, 660854217, 377021137, 529869069, 562793779, 796514386, 732698378, 183626306, 619438472, 957669601, 975280602, 229478131, 576037035, 457838935, 202246603, 457853510, 287831885, 66524419, 418873459, 484263300, 487092045, 883332572, 280013565, 539412224, 682459499, 630520705, 116604355, 292772434, 101682370, 642434787, 440454927, 384772311, 488273760, 979486450, 728072219, 168640950, 264485091, 591909416, 511576048, 33458089, 580588724, 183715259, 322658420, 952715429, 548677654, 51025091, 766141356, 860743050, 337149838, 305550020, 121017817, 793435641, 786430604, 907616539, 899200508, 522136004, 851666335, 441098977, 574992432, 357038122, 207887139, 750881487, 223274962, 43194540, 881059582, 981473596, 500973007, 302561920, 620768474, 425314151, 227568780, 625251324, 905976266, 800119508, 351217418, 985378387, 652749762, 431268606, 200408952, 801112549, 213048144, 709643566, 733420072, 94473137, 876066258, 825663372, 558484231, 725152204, 301715101, 290260179, 10142952, 295476243, 725972353, 344252157, 413840560, 586945060, 943768233, 404480097, 271531321, 299743521, 747669487, 623483125, 937288591, 296292587, 151639943, 40178234, 310402849, 732928233, 644639446, 678980357, 264201457, 357452761, 56591632, 223130917, 909512235, 519155852, 184875884, 187011448, 758478613, 831025656, 799225721, 657072571, 56207609, 501306361, 54415289, 838860323, 660017997, 794543846, 139731383, 440415215, 931596203, 728052447, 377807727, 174183005, 295915771, 488893916, 843282439, 528385792, 353712634, 707382768, 88750845, 751247076, 204240686, 805779579, 900164724, 225283834, 233925202, 298032640, 443227858, 578035899, 690408302, 522430129, 109281438, 203029005, 83458298, 732660580, 881905479, 660910260, 995939664, 1533222, 347827400, 77679339, 95459853, 344470314, 549103187, 863403428, 596994802, 585046838, 795057146, 527324586, 592355627, 300672287, 250565546, 165933665, 827483406, 27867909, 100042483, 790330979, 368616054, 515920351, 569178545, 430373230, 489689537, 308367723, 260724209, 898368077, 848505717, 72300348, 194929321, 12459285, 11366716, 586233983, 755049469, 510016615, 589409520, 809161962, 177624440, 477810503, 689680582, 30896378, 881313617, 367978309, 697815512, 92499016, 705196058, 457773955, 235327608, 639977947, 771066287, 293900663, 489235567, 819782450, 185919305, 9946597, 235738961, 947137340, 314629171, 434668878, 732149352, 642012655, 805225147, 954387127, 922306309, 208114506, 557966881, 152843300, 986866282, 653321515, 161919311, 954682917, 708102132, 576288081, 570165759, 368660853, 794932687, 440768033, 148970103, 766945059, 567138732, 521902510, 435505053, 79703989, 281358882, 144834454, 24352959, 795951346, 905611558, 324267718, 190653265, 529300049, 166411526, 337024187, 329374670, 8120402, 242414094, 687147658, 626063976, 881987027, 288948573, 871535172, 245903786, 517075076, 155676150, 662740234, 139969102, 837424460, 304227836, 474502811, 87441389, 665883954, 98524551, 504474714, 456237690, 928246409, 796820784, 17073783, 167229234, 556603187, 64165224, 697560588, 98506856, 932753721, 278792156, 530487587, 372889949, 646815170, 116200624, 527597065, 618896251, 574178641, 712613491, 485475459, 66652020, 52274175, 595353864, 840433623, 937214941, 395407587, 979984651, 42416671, 894764438, 253590402, 140935146, 197131948, 688381316, 401549320, 517796652, 512189684, 25330689, 821466819, 242834083, 729982696, 761434392, 193534767, 172154121, 721973207, 324913058, 510423583, 660869409, 428975321, 750372185, 405393955, 376408884, 975740054, 127578414, 433855257, 598791180, 218602954, 139794380, 734796373, 251035835, 412585951, 788985407, 833901641, 782802766, 665936799, 619951324, 71516015, 873386855, 756183225, 238099075, 745234696, 185756180, 983407354, 714057624, 967317916, 312756143, 163424660, 913703168, 127552451, 451347486, 731983812, 356658019, 876649290, 885122672, 887709022, 961003625, 114957649, 710185673, 979820182, 768086067, 325526595, 895703770, 368878374, 214045945, 771838741, 617164218, 672098605, 736155093, 400591986, 765963466, 394736496, 214666494, 713493381, 232808884, 269359, 419190045, 492516852, 749602246, 901508342, 74472179, 376835101, 427674435, 420811947, 689776040, 863915821, 343324989, 469052665, 339251354, 523108184, 420760852, 566547066, 415610175, 163981049, 950901097, 855420234, 365562586, 182333846, 630963161, 149042767, 800531937, 154618439, 403533256, 631242047, 76082585, 743308886, 895507065, 652818324, 361525400, 998002156, 815273059, 887577843, 468416455, 762067028, 102652597, 653633785, 36591287, 573505953, 587180279, 449403522, 300518673, 31680347, 232891659, 682733813, 425569702, 854216171, 294497656, 521712515, 739293465, 530371586, 959733486, 707143793, 114238386, 186782298, 162852958, 215075198, 401321026, 70024512, 304608613, 419987956, 113264464, 393890821, 62508115, 592013828, 300361752, 368238586, 728095340, 805305157, 973028023, 959685159, 874254685, 542918352, 283377047, 397887482, 838676120, 81971065, 149629881, 256796346, 722551451, 127835090, 182297476, 950325049, 908514172, 872679431, 701382825, 370789044, 303101219, 348482562, 737675681, 756250742, 486636947, 407477501, 428116765, 538371512, 859554047, 341020706, 307486962, 886466826, 225968129, 135163463, 743725480, 891826936, 91141026, 265724544, 713262379, 711803228, 573388257, 665389254, 175485300, 852577495, 934405415, 283619255, 817495299, 178036095, 238225972, 66666436, 861397174, 714233904, 466841354, 233457883, 607839050, 589692161, 475558151, 994727038, 288615172, 838678206, 2831112, 97323642, 754841129, 85718371, 377552143, 221918048, 803305384, 156411239, 331693421, 505521423, 699011167, 164530005, 147189091, 335672103, 780150994, 636738281, 447551765, 362447663, 375908633, 723559917, 388178658, 886695479, 892743615, 784220110, 272495575, 211331903, 944288766, 919430762, 472502744, 690527923, 53909304, 212359889, 576731443, 454097321, 825034430, 332125957, 767566892, 447711386, 405668828, 317356509, 784045609, 178694991, 250813837, 645921950, 468392157, 259890654, 245763242, 669936962, 600900129, 412079808, 163085066, 889643036, 544925442, 236630065, 440977918, 331589878, 16616683, 554612145, 808047558, 589092301, 662230331, 70944396, 608232740, 715560647, 180867917, 642251075, 280419429, 841921341, 911287337, 978523113, 740751457, 521310548, 227674582, 473836769, 765806401, 681386382, 55831038, 724926991, 317945807, 511292475, 924878636, 968502091, 148934437, 620927372, 191383510, 349854444, 961501149, 447561396, 998206428, 64109690, 748032450, 221271770, 114865752, 113979975, 488911462, 673075479, 847384481, 353009995, 617253041, 313306595, 240146490, 448271606, 619811389, 608225236, 592203972, 915600649, 953106659, 527239049, 665548430, 296688189, 619513299, 260495933, 124323684, 506677759, 607182004, 245835222, 625965628, 528512673, 38739393, 394699974, 459521718, 312703614, 646780319, 794978036, 853757565, 576301953, 301413681, 762449383, 139426151, 233248356, 54962488, 274315751, 755694998, 601548780, 764822650, 452918991, 918882713, 268116256, 374283648, 981531487, 268265014, 492293563, 675866166, 119285859, 364129782, 485956201, 199400621, 920292413, 249556812, 749280524, 250117203, 955125834, 917759287, 805405387, 127842476, 813387152, 397784426, 859188483, 607409822, 894798880, 519176406, 810568589, 586737144, 48597192, 777116399, 915418575, 507336709, 554132494, 579559638, 642135143, 938384991, 492222125, 992841295, 875373168, 212383256, 86263690, 630459993, 686234698, 588498309, 887144640, 231152392, 518900017, 781727302, 697963245, 717506677, 980545022, 642302034, 348415033, 204435241, 739851812, 175473772, 426501930, 665633200, 19784536, 86799306, 519220252, 235653978, 103152350, 834215198, 598871549, 810043661, 79608387, 168577748, 44016491, 274184306, 270793362, 528976808, 897561480, 487036523, 322939413, 800704947, 740076994, 920535348, 707261814, 319133545, 969302798, 269825968, 912972139, 833488316, 818192584, 945946284, 943869149, 355525287, 671854541, 73438707, 516876101, 231851029, 396905039, 797442885, 936921577, 666301425, 356956241, 963999346, 223895655, 832374555, 165001915, 615228349, 999355943, 465170500, 660769615, 960861693, 953133003, 705625562, 914910808, 337724409, 999193699, 389535419, 330047855, 72942719, 699524753, 8238083, 630032566, 455800723, 173165159, 233182346, 494797847, 950741898, 24015500, 965058985, 352506967, 765323711, 649885412, 438941541, 628810055, 378837995, 160563904, 857865723, 446048701, 312021314, 453331054, 546552229, 108808652, 115333911, 405898713, 77581923, 564063607, 892129998, 713993922, 926427568, 692255724, 359693085, 493203680, 39192962, 539767605, 20642628, 456027431, 974451248, 3394009, 411515322, 983954584, 562392125, 672968219, 796569846, 722856513, 277902841, 100392650, 671951295, 30165245, 147105775, 508541799, 173595995, 654725233, 240202319, 523642459, 264504770, 269276039, 819822956, 585393037, 888389746, 841828863, 36962482, 659629110, 254077377, 120449830, 924539795, 732925721, 311815185, 123264733, 825440440, 53138620, 929112731, 88867294, 736089833, 722685725, 887659796, 213639842, 365190438, 52039113, 887645291, 60768736, 90013755, 293575068, 363385186, 389021038, 807681941, 629646833, 389279047, 153651663, 92492013, 867108869, 524356228, 397792030, 176870650, 813336141, 500701508, 544390223, 410727770, 481441492, 511200746, 980394948, 725305544, 523062292, 285884472, 224063541, 383530452, 841501627, 499268614, 19517295, 788188313, 74239864, 185815303, 25225607, 60583072, 961819436, 476316719, 529407477, 179360901, 174337199, 453811707, 746921698, 472828443, 248366099, 215182457, 917679912, 260398888, 484196198, 178286779, 392165264, 982674832, 646597883, 274726024, 695654657, 988573667, 61872163, 558642312, 817679408, 806988918, 655247870, 59196105, 411706242, 541875474, 996785005, 730646616, 604813597, 734298726, 905139724, 166944353, 777969408, 241692506, 114119498, 612476506, 681276230, 428332327, 984075453, 408037393, 267746677, 64531503, 990995779, 927125731, 459696851, 666212845, 447451952, 313746951, 376322177, 770271986, 603633059, 526574301, 401477203, 987376504, 920974509, 20087913, 742535216, 872645307, 175790442, 865065765, 756048637, 605221504, 310362095, 514086804, 581835095, 975148676, 500854353, 715412305, 708614247, 99654722, 266940, 482904621, 182166742, 861658082, 196628958, 824391791, 681878787, 571409969, 811983496, 273620051, 19915793, 296475080, 620847097, 457440699, 957802564, 327930746, 635852543, 168038063, 894925419, 452818433, 472228964, 184271887, 771840129, 941197106, 777321156, 941760533, 764565475, 865561748, 39617509, 51000983, 919618824, 981062326, 294005214, 816174001, 439289243, 461380181, 30016694, 525882593, 523243198, 945412251, 918757844, 646185212, 578234660, 904795300, 453655635, 390120024, 82635185, 340135591, 363107839, 837257739, 111966891, 430023492, 166446045, 187744594, 506217115, 389922205, 47706800, 921970035, 698497101, 277374644, 136795691, 810857112, 641057220, 162132998, 28524017, 403827858, 915387837, 415614807, 550557651, 844250532, 269818830, 15873343, 765430602, 436989592, 41270237, 763240957, 568727147, 385409316, 910719212, 716623259, 86726827, 369589996, 902481571, 213792647, 100681792, 933789824, 402330310, 835808749, 903859533, 409096316, 746452742, 785441759, 552158217, 589703086, 206385267, 911467551, 45043854, 998457074, 901489575, 696507471, 651425093, 169014798, 689111503, 164891841, 506291510, 138494360, 534754613, 22188041, 452390466, 166173145, 635903458, 480324945, 979655946, 802036078, 217364315, 626593430, 793763432, 815075599, 364695268, 473453515, 179191687, 427241778, 445872068, 59532848, 509128725, 399038243, 958301361, 287735274, 41382930, 453812930, 838057908, 387232891, 50713270, 393010187, 180413290, 43113414, 102149420, 861562674, 866949839, 319187780, 161379108, 876591323, 645055646, 244162553, 752379071, 222564340, 645553425, 769535566, 324097413, 789169284, 670627154, 447159346, 483649146, 227395903, 747623665, 539667022, 290592768, 258014876, 726336517, 646027059, 950849758, 520384256, 649575008, 70447522, 172672894, 289772670, 4585933, 873607768, 957453205, 731748920, 283693437, 161708153, 952340604, 654367446, 454721446, 986654506, 359104130, 701010370, 262720584, 850129295, 43272741, 386784834, 970343338, 855713120, 26482074, 427102425, 52660236, 356346107, 567416494, 845411189, 24874973, 498801892, 149451198, 928393241, 219776720, 855160793, 796756888, 938502537, 297772219, 344714023, 290038904, 591622274, 275904303, 775219238, 318668135, 723287742, 545801568, 328292310, 153340680, 800150687, 302174147, 22088036, 880804228, 14044218, 284559113, 499802170, 118915368, 599866244, 489046944, 66882094, 588790749, 899821139, 989772004, 82019433, 209059029, 450586584, 720651777, 238328097, 613411562, 145073868, 866032325, 848706923, 934204705, 623064641, 550589565, 814470275, 830308755, 22276261, 944728670, 872929336, 922996945, 836489157, 648523709, 34799265, 511285985, 109091915, 825022993, 375942777, 723028060, 736923045, 869159556, 583497354, 520647326, 947691488, 218944721, 974225458, 218111035, 290640182, 702107428, 308651330, 676077713, 266807701, 864047647, 413863130, 837730510, 643402136, 962926627, 304107140, 482084197, 424730363, 207174370, 106197371, 583450981, 909011791, 589737969, 441411451, 287177722, 47910024, 818524057, 285781511, 456846096, 32194747, 120949932, 791221771, 240958837, 118424129, 31631068, 597958117, 723655166, 934175422, 856065122, 295343388, 864015962, 376344370, 899630890, 906286798, 481503403, 378257274, 394389573, 189843087, 632098511, 619847051, 31471639, 455757177, 616764918, 686847996, 245554810, 90044307, 578898509, 878275386, 40469328, 756481548, 121849742, 627959000, 366876278, 992078090, 15997464, 721783309, 961962528, 538394850, 337592752, 825483331, 99979962, 179805254, 918203255, 590464278, 270001547, 824381350, 543886234, 489319078, 470115186, 104364152, 436807837, 155258611, 13503010, 227677752, 960853361, 579048892, 147176315, 330681488, 415481880, 358404239, 770933342, 803270394, 269180750, 185362632, 260743592, 970701062, 297274974, 747068165, 386613260, 913583765, 683224602, 604885824, 715127528, 884155284, 476826845, 777025350, 454308463, 315492237, 574966866, 810246610, 505932291, 793396848, 948251803, 318348637, 840923423, 69897854, 947018036, 559005044, 295990103, 948674468, 665807899, 381073507, 1554218, 584869824, 462266226, 858400184, 50226691, 92198801, 716134725, 375334421, 795704843, 403353055, 896742717, 588287551, 965137270, 717201164, 984327485, 498422077, 690528915, 745211201, 791448934, 152279904, 357655654, 865299716, 938255140, 650033559, 664835059, 201504501, 635225874, 189997056, 733157209, 789701848, 245798506, 103437124, 966774604, 954228284, 937325339, 691899751, 717282920, 950971053, 407073405, 248085598, 650302263, 236680728, 404331160, 668371320, 321839571, 235047939, 481949015, 170122206, 657150372, 490241441, 682019495, 158438370, 890279448, 720796624, 27259780, 193481696, 214917708, 264420375, 727031833, 657095520, 754554124, 48697326, 76863449, 192850644, 540902259, 668690448, 660607279, 141593022, 473529427, 209392791, 249097962, 3019310, 572535739, 414926579, 604155824, 128737921, 567982047, 878965982, 422108339, 987654964, 759027218, 912469002, 986486574, 577127573, 523188205, 691593952, 220175812, 738098292, 703886905, 974462252, 833141944, 32381676, 614235418, 60094797, 387863322, 965876996, 358241824, 880204293, 214735964, 574352956, 703432283, 382024624, 998291849, 65524781, 720060477, 239942004, 781470459, 902983496, 206784949, 318896066, 964499805, 238755088, 167059976, 348754321, 100274242, 240690837, 544411492, 830501230, 71639328, 785503796, 531415799, 435541113, 363357966, 808056479, 577622722, 925391982, 442847184, 565862472, 156546062, 636098198, 595739302, 31616990, 670754246, 796642305, 13397404, 96980893, 764195026, 928080639, 604856410, 414764058, 522298316, 527610955, 54113323, 973517079, 387045075, 135125237, 207164046, 21956345, 824542203, 572123185, 729982733, 594310293, 728565639, 935102057, 893126966, 843040787, 787649882, 636259842, 769706526, 500965438, 438350185, 417933775, 728701446, 648122573, 76129266, 988577165, 533885242, 631855720, 653231325, 819382011, 165887530, 287039309, 802211628, 232446386, 599254511, 660990439, 85323859, 123142199, 766466696, 707242774, 508104420, 166826430, 111252673, 978632991, 106277912, 17692303, 513834522, 271489947, 84367308, 815136282, 387637864, 411920647, 203355783, 896578754, 52571039, 140507971, 156124287, 891916845, 166000077, 829070326, 892387940, 542711984, 206671449, 71915814, 436929605, 878606705, 396365251, 342708598, 639522066, 21341416, 441023227, 783938909, 980669413, 184484809, 185669044, 746475214, 688359282, 138856747, 710214725, 332254700, 30157970, 536586961, 761808438, 941330020, 805106123, 474534012, 676058116, 286559943, 76095522, 549086192, 61510584, 737998489, 828066357, 787364358, 575262434, 122800790, 101978149, 567279140, 386733948, 727820138, 701358576, 143934296, 646263019, 12454431, 337030256, 763600131, 65954601, 202140646, 409881908, 284051251, 626842636, 122613105, 798378926, 608082102, 273390570, 640817478, 133308092, 745871495, 953840110, 985477135, 557649851, 67257281, 603400982, 791936496, 552502386, 612503686, 555523612, 837849652, 753903592, 568449827, 586453627, 776875154, 423770213, 864143151, 837492427, 722744268, 581932755, 65062830, 129654599, 759513836, 488776070, 615628724, 488313079, 607667504, 154316434, 829241801, 3392231, 902291708, 860604915, 491349908, 844759954, 351715143, 569998588, 518492493, 881515812, 357349302, 253769856, 579024766, 504857405, 515694012, 796531349, 967029191, 797653003, 335406576, 891223186, 873172428, 554099246, 310162333, 392271043, 262971767, 280281608, 318734789, 749904024, 804433356, 273913278, 80927476, 765956240, 626377985, 971823614, 170190573, 436589484, 281444764, 158172847, 887982508, 876848120, 147004822, 779220207, 124254787, 805214024, 201090656, 822327914, 860872350, 720428376, 764099609, 897956935, 281416671, 617722014, 660627958, 815178436, 318997454, 630504514, 476787069, 187028754, 343970539, 336502135, 396321139, 981530985, 159229667, 44440419, 99053645, 909080543, 280920142, 55466735, 854563808, 440297295, 510878852, 720795601, 615565530, 403869557, 468407321, 70317533, 893865008, 537352221, 758683061, 438455137, 329302708, 877842560, 428356756, 927406997, 827082479, 467358486, 166836411, 548237337, 285002563, 283175489, 195447277, 638618552, 274147200, 449016510, 581025446, 723247697, 809041728, 824542615, 412225186, 814994694, 829791417, 317033926, 87856880, 479001947, 886360676, 229344921, 855153788, 79113547, 802104377, 968716801, 151626258, 129744566, 408201318, 785984467, 503943260, 785704929, 648848701, 394201354, 681604023, 822559947, 989662760, 747316713, 229106985, 608654997, 566782575, 971261407, 676287192, 630013757, 969292856, 836643180, 735651708, 497502129, 601551188, 737667987, 520703202, 578234151, 936555076, 388668193, 582102680, 718038156, 352429557, 770648241, 783313988, 61360085, 736447983, 386493070, 403041837, 978974961, 528399966, 123213273, 586235516, 398884156, 621581027, 494093996, 166167009, 674743574, 254314824, 106190143, 515383803, 938300164, 4209049, 208334692, 524883220, 592981818, 502087991, 617231149, 684109734, 806466830, 477143107, 44371606, 700182243, 852748847, 551087239, 204465206, 897037567, 983948593, 901022360, 556178284, 740470654, 286837151, 261509877, 580736514, 385015357, 403875469, 929530461, 238669238, 984515965, 79108220, 573724580, 836931529, 352366534, 513407711, 900698142, 765120333, 93390432, 684578245, 663103540, 582006377, 469892053, 601537778, 141424392, 962795, 986151333, 504333977, 715399314, 722165357, 407045245, 970883831, 8324569, 251292570, 573937574, 297369479, 597815965, 909138350, 557885413, 373570706, 114990739, 685285343, 423174574, 972783452, 54499526, 67403682, 965595031, 972766352, 123976012, 889548238, 280645750, 428400091, 782225492, 407289007, 877161084, 800282893, 971875779, 159511246, 654890786, 300496791, 143920864, 160334441, 404107032, 228721096, 327861599, 824678303, 416794854, 468793247, 299089270, 58948106, 718321457, 439535496, 575362235, 658956772, 214779393, 321356764, 128277595, 517014739, 478649867, 164028593, 283130633, 264668999, 495499403, 265406333, 185244617, 640109586, 541964080, 102107737, 208632254, 622769333, 494824630, 361490329, 377983550, 508273231, 54518568, 882484350, 530206132, 854014421, 755849296, 67115340, 487154481, 408161320, 935323257, 614337247, 666581733, 48467536, 187657531, 760725350, 398566643, 7146981, 862334201, 247318858, 905977933, 926505063, 251734645, 781733046, 180417150, 812532530, 249892605, 264572052, 670975080, 350914986, 48110274, 781125092, 875364558, 811342413, 422431626, 278719547, 554239262, 151216417, 203411972, 501117115, 588148429, 271937720, 417721374, 642515507, 593731267, 66317909, 167637304, 392653590, 438937617, 934449956, 218410264, 560497207, 187328077, 957927334, 814297997, 210897623, 1736621, 65784617, 389020276, 80739363, 190749363, 213618867, 74507180, 838983167, 286006763, 701420066, 788042374, 233564653, 626303688, 767659783, 102157104, 575175238, 783039212, 826771243, 528025973, 796183707, 536690508, 870526778, 290775053, 72711500, 534832913, 811426858, 614973193, 153212346, 806849296, 569066799, 481470404, 973453723, 769594014, 494863706, 103797606, 546764144, 320714185, 343519312, 751131670, 673793282, 792203483, 461312105, 428652545, 906905069, 419045137, 942952407, 723905365, 732436216, 514671916, 607962476, 905707742, 385506023, 616954609, 511797227, 395393436, 845246109, 137281336, 582527239, 327383115, 144698449, 734454466, 302640917, 555853804, 928950338, 30571845, 792887811, 813082976, 464359094, 444088916, 42382745, 716467208, 822465668, 473360169, 677599386, 406104537, 406157769, 942403393, 395890256, 883398976, 329214518, 811093956, 484346013, 112427689, 253025662, 827388074, 104744403, 793966794, 86386380, 724718446, 372172864, 234153571, 208559265, 63894885, 954768878, 58844523, 864673059, 389090435, 678138465, 602904272, 268200102, 707794195, 595335640, 529858382, 72068605, 377076331, 259593171, 783348123, 308077516, 927019126, 824260369, 716173499, 767684277, 837690464, 310702594, 217029763, 443995112, 574670376, 482718544, 423892576, 718278443, 778858710, 754658302, 519088685, 640410966, 167427289, 24640306, 25396055, 441568582, 694929726, 541769953, 636961112, 785822928, 975346943, 829567802, 34575367, 352245586, 186339924, 175653493, 14771015, 618591565, 635537406, 724117020, 44130500, 284622246, 693222051, 734735526, 10707727, 831624274, 913622003, 287127629, 447394049, 538957140, 225015351, 403210480, 687725188, 227988701, 931691055, 528054326, 877312542, 343338675, 167221927, 329056752, 80671282, 589218802, 212692264, 565152158, 869591138, 429376342, 427741423, 486946529, 587436813, 441879845, 965931196, 374936548, 292200415, 521946388, 563599580, 85086446, 824607339, 733133206, 207769554, 121068678, 220982273, 819716431, 904338701, 166961063, 611032376, 705352073, 622934913, 791340340, 260483995, 787693585, 1141885, 382826863, 594729293, 597077503, 391246996, 966016791, 527623542, 815845976, 745160503, 677676842, 979957941, 482458670, 250427855, 26066562, 311853539, 142913193, 1437168, 327924165, 141804407, 901560767, 96295118, 97201883, 355215344, 241170962, 705473909, 688417915, 181768632, 734058242, 346993362, 423378831, 359295436, 62746253, 970169904, 839611581, 888687981, 524381672, 444789438, 312355128, 71386364, 445292750, 936224837, 225298350, 417946729, 382556084, 231430958, 507699243, 20177194, 86983407, 189408402, 181576173, 923900999, 390819236, 228006998, 719498010, 14854264, 374790777, 818428871, 730863724, 550633298, 535662714, 948502360, 475801421, 68412321, 942830066, 932783346, 480016279, 422515395, 47079310, 756255607, 159091155, 681799741, 332332050, 937143978, 967389007, 367629092, 648049359, 162700922, 321055878, 431934915, 634655793, 156104156, 121365093, 611057091, 700302677, 7970501, 887164879, 558922168, 715763865, 883700236, 656013012, 816655114, 770519940, 39703092, 653455782, 223307600, 346309726, 367314466, 890825165, 420817712, 372623970, 335842284, 566954185, 485756128, 552618784, 442011521, 62159854, 401894087, 261397022, 97059186, 503564230, 73918081, 959162967, 518136418, 367163691, 5151872, 293041074, 316308309, 108403751, 242536931, 904879232, 829805556, 552320838, 248257532, 473124737, 158575116, 107000174, 30777235, 193406974, 452496193, 196258454, 265589132, 410933835, 737880189, 975688243, 416716389, 987572830, 423018127, 196037969, 80484779, 651989071, 212384199, 115089402, 117437275, 46842255, 31476731, 361197388, 57072281, 693718105, 535234437, 725466115, 613456351, 588014580, 94056054, 487495648, 714499364, 550023989, 348905769, 974193035, 857748987, 793488284, 759950436, 196492441, 168751315, 29124177, 184825221, 667834565, 856368161, 607855159, 246660047, 277461574, 521003894, 891376467, 595113166, 301941845, 111112085, 61405965, 281597724, 974558977, 408019621, 468088668, 502197439, 279310647, 993253055, 665756784, 788847572, 879992124, 950425600, 345539690, 966023400, 316942471, 715070914, 591088560, 617503772, 556830379, 773995748, 787558050, 279577058, 131826995, 382821256, 601427851, 971944853, 633452488, 701461651, 438142824, 740416759, 70319907, 643663437, 149802151, 923642170, 975800469, 848854011, 977778823, 947359900, 969666151, 931222119, 82232344, 167086195, 191365846, 601927763, 82166781, 766998849, 182717297, 536148644, 264266409, 604190474, 936534431, 673671095, 728572654, 666279050, 618196195, 36390107, 400601600, 175978420, 387397013, 814283125, 239259002, 188023759, 200639368, 837038613, 904635935, 475083521, 762929324, 223257130, 146917543, 816709699, 288857328, 377527898, 918811345, 722647861, 539028034, 855355615, 279931911, 540135654, 946488765, 531906198, 466332306, 838934537, 988469880, 335297279, 449464400, 278921077, 675351171, 811151232, 528885414, 710379774, 986918920, 713459063, 98123610, 807198007, 236117898, 159753681, 605036646, 259804088, 172174940, 665595227, 104936544, 284150804, 619867428, 606215411, 5319512, 781096240, 587856773, 623108420, 79564826, 228366713, 525910061, 827203853, 653552189, 9768312, 756794031, 218171069, 167853888, 133462236, 295297030, 105201825, 5130149, 710012840, 543872285, 567746776, 234321210, 873445553, 867252354, 800359832, 129641068, 140072106, 695689235, 605588829, 243752918, 604799203, 318258411, 960675943, 232609091, 430555610, 595056434, 969985172, 963008384, 185716810, 885261382, 998828995, 841347603, 618839775, 389267491, 84957415, 645521653, 983107324, 994778722, 283239140, 392853065, 570455082, 525265864, 760049489, 741772905, 264601961, 726686951, 613524876, 145408112, 40625885, 997814464, 180337939, 728791621, 695830015, 141109775, 931308825, 385772875, 368714641, 937563632, 123544261, 446760123, 824198134, 588324798, 90060186, 828382319, 974133799, 340177401, 105123539, 26622071, 407820287, 40771786, 756632395, 911235955, 990491678, 53345035, 97502339, 67092938, 665080702, 921172153, 626201914, 195577084, 390512020, 992043794, 169386155, 149899531, 166684397, 16796170, 164466954, 119590137, 481617365, 609288569, 184388031, 628854697, 92860676, 983844939, 99680427, 686568426, 571075120, 990032557, 442417389, 251450581, 164254410, 381164129, 944068115, 145002272, 101983817, 243608349, 697568159, 412596375, 992308126, 494904352, 428526819, 845656805, 268870021, 541225861, 519160783, 5099334, 950882778, 678757245, 884626617, 708448589, 664696998, 615677040, 217265113, 872804716, 567443681, 513882041, 123323350, 578067717, 57065278, 574759808, 775492680, 187557473, 607175842, 29180218, 2455119, 18319952, 132596647, 103398867, 637481407, 605336769, 520564366, 920851443, 58903899, 880531705, 165458715, 588677045, 764846640, 297423995, 838381573, 224583871, 899659010, 268323702, 132967197, 822224955, 155696800, 565510980, 834486992, 18256804, 252649333, 43819866, 430367059, 500977729, 797867259, 940973627, 282513313, 491961969, 598882054, 13602513, 679674211, 481554363, 586945915, 496495700, 752232056, 954166397, 954298366, 55025888, 565313035, 918603932, 412570266, 22153414, 803620999, 798817269, 571500583, 38196439, 156666960, 811340418, 138134232, 370769305, 119794266, 630864467, 238318747, 558279114, 599064212, 553610059, 792871213, 747154688, 621483479, 291142516, 101862075, 415000410, 490998600, 615681028, 469291876, 241282157, 479336353, 627312947, 598677488, 618819578, 640186835, 816484044, 760066970, 491271083, 88260878, 636406709, 531369929, 496853294, 470267415, 143282696, 747704526, 180207084, 765816832, 661865365, 876685690, 446608755, 660681025, 307535566, 359219886, 831583227, 815032603, 672575391, 783653862, 655277325, 944355197, 390941478, 484381181, 946609427, 620170407, 782579233, 751725101, 983199507, 818953684, 128673169, 219526396, 549951169, 717495947, 593452942, 419247680, 726357612, 18382476, 734815070, 572905901, 139546327, 320139298, 54138237, 150915940, 395035118, 672869950, 514868732, 199267821, 615974640, 114057388, 739864921, 389417176, 644860667, 740342322, 186751832, 201880925, 287548787, 21329501, 486365551, 765273525, 669219675, 453795955, 250296480, 719679999, 952992405, 731270144, 870695960, 750098028, 186352894, 383961924, 799664893, 465944661, 411987498, 470245369, 23594191, 547566212, 743774299, 891557239, 942147372, 597576533, 357372628, 728050360, 510288758, 951440146, 410551828, 607457169, 635126707, 415989863, 790798273, 965524170, 893455338, 811907037, 316922844, 809393335, 556536212, 66661633, 643135678, 410903180, 397258366, 95945435, 408402347, 496201055, 690634400, 332769895, 686150258, 946988254, 997524376, 328236901, 691213884, 433588440, 894221098, 618683502, 549797117, 820493944, 21849067, 233983857, 971203012, 735347595, 864928653, 756487259, 144521247, 528392463, 770921151, 63286842, 649572421, 342109802, 677790049, 839286235, 411762911, 732728370, 874725433, 404540450, 334657812, 982352847, 597947922, 336347042, 244517921, 401108928, 604070846, 246533487, 576752480, 122791025, 159407012, 98018885, 149300758, 907576475, 582989493, 656486610, 729186244, 593416575, 66645207, 939899866, 694461893, 711375394, 764363426, 348523616, 423268482, 830658001, 39295969, 120548978, 374234511, 794449039, 351001313, 555062424, 28520307, 281935654, 488020862, 138889010, 193876725, 62662983, 379490308, 10947060, 663964153, 12199270, 272938260, 896325792, 918042111, 989752174, 308315644, 193830720, 611436517, 447015411, 217607258, 351124805, 289496740, 259742886, 991696562, 878104069, 911155562, 945159481, 101906088, 630001906, 84560183, 566159088, 470042817, 251625904, 362325543, 310900152, 14987631, 437814157, 15030670, 569630791, 327434574, 327550948, 26186724, 205152207, 777284131, 205007434, 294932224, 913112300, 878054253, 374228747, 253043513, 592849847, 49237040, 29306282, 433331498, 245280766, 183603567, 167252171, 567699306, 644539731, 357712723, 682672537, 798432371, 297886765, 623731830, 260225308, 431352164, 493101145, 718654901, 933886506, 191764377, 288517215, 843296759, 801745597, 790147029, 959206572, 642836159, 468362956, 372053143, 706561128, 655631550, 297371956, 354061014, 416854565, 309982049, 521087665, 345653392, 749903572, 407200424, 568669943, 849567112, 15192838, 725869046, 899758914, 793152637, 290837835, 892644475, 857762152, 453070873, 266558755, 696416538, 517386318, 50036308, 581667743, 704226191, 955470580, 374426073, 237211940, 420828485, 45175313, 125090090, 692258263, 592263696, 15200387, 27595697, 741910346, 603200540, 743988815, 729359887, 732489696, 615065305, 76817202, 651434099, 512910478, 600690492, 456588455, 627352611, 63581066, 704665403, 178897911, 144808632, 182585581, 827401883, 265170395, 347102582, 225262649, 711566667, 64342827, 172297813, 680689415, 653157974, 455027868, 225951198, 926260588, 488613261, 723122790, 413538635, 526292865, 605058272, 122444762, 499063910, 239576106, 855545608, 366999014, 52576115, 654862668, 516321679, 515768005, 946404237, 824035465, 996537835, 452167144, 316440751, 104837732, 180697653, 34266449, 918274089, 203712902, 764898797, 107257420, 427693199, 822768566, 94451989, 586892301, 433896931, 929634829, 422140343, 362538623, 465251389, 977241649, 757073661, 232342709, 302511918, 680290054, 181027720, 961740537, 557527184, 822812203, 41813544, 638055631, 870810303, 735037865, 418981743, 463511022, 320911808, 63706573, 257138435, 475416110, 809623404, 594260350, 857652934, 454694824, 858602992, 969595721, 326968804, 14988992, 432334801, 322679960, 314188775, 493701495, 1584241, 891621337, 872379884, 986673900, 429590064, 449708667, 884353210, 484647236, 767717927, 292287281, 937636319, 703385172, 333613842, 12038761, 72765034, 4629036, 212319376, 786654340, 671726618, 51605123, 13556407, 398401616, 775360784, 785762811, 133158091, 690696513, 674415586, 673707909, 497796836, 701725222, 94192824, 410125685, 786989383, 805904451, 412862013, 379374435, 63670185, 318658974, 347353204, 943204109, 913718582, 951528951, 838054244, 231290062, 952677930, 694177863, 618921755, 184658152, 25263442, 385997495, 142754720, 142552457, 274776214, 809241935, 282743041, 766959763, 481050180, 251570295, 705475545, 386722760, 230383380, 538197624, 919653811, 707976563, 231838108, 537326870, 458669111, 908015465, 263853802, 685861186, 202563917, 366309202, 586940679, 955502075, 179812569, 432980022, 79930227, 547834923, 538476664, 693116219, 643881604, 775827007, 120993376, 638437849, 42601814, 96508068, 517387810, 95291891, 941984470, 964569443, 25494283, 815959562, 787711518, 518893947, 479078916, 909037807, 323130480, 706037475, 573730142, 851003861, 660361587, 613700741, 566428083, 637235230, 479175999, 682993859, 684835656, 603223172, 316921672, 178842642, 242839228, 487153888, 685567124, 299490793, 145839658, 625221913, 204315802, 290304084, 307043469, 466356150, 215147396, 78745548, 618602723, 953110101, 562069561, 694890071, 340410824, 33636060, 854874903, 662873406, 823310730, 831822412, 321719658, 930704739, 282035251, 417560903, 569331577, 423011538, 709600013, 332351873, 391464047, 167737715, 629624495, 856206434, 826234210, 697305010, 152885062, 892427253, 29637942, 270421413, 34673425, 882372067, 804532432, 871781568, 742390034, 402880953, 289632223, 939524086, 617785294, 962688520, 960021553, 368271433, 283745154, 476425574, 462479116, 998042622, 398163969, 940256407, 82549069, 838396746, 371892746, 705420883, 268679931, 859521948, 388041221, 612300846, 595583727, 474357807, 863823299, 446828441, 183897515, 818364938, 315364050, 389213110, 434982132, 6343493, 340098552, 937729566, 675867049, 6824016, 496951707, 203628591, 839810773, 722757306, 264053774, 775718649, 555443808, 415528797, 434809260, 642234792, 692186694, 405341627, 873715142, 792290732, 495417002, 415539990, 286166750, 331191828, 608110787, 719200625, 918985067, 192485553, 965301213, 592154672, 36807349, 294124513, 552399006, 541290759, 105068730, 307884250, 589854908, 685494170, 805964384, 31875127, 169103033, 285111080, 201032005, 625515179, 48026210, 397029570, 817454832, 497217729, 752862461, 372519251, 26306954, 73147961, 316888808, 596915705, 483516859, 730906767, 861222836, 967216340, 868868788, 233422130, 833254589, 109244862, 127023207, 27757930, 303200182, 248407370, 655152703, 393733906, 691343563, 385494745, 819688892, 131913159, 142553484, 525075633, 994192992, 295379830, 124323748, 850685329, 353405161, 227421839, 191971420, 343431203, 617771573, 324501375, 981275176, 567797423, 143371399, 500238099, 846272276, 466980313, 817426716, 294469226, 103033984, 812725381, 506989377, 60851078, 55315776, 963023795, 990941898, 664863468, 441446069, 509293157, 10289983, 875757321, 750312219, 367943466, 29054920, 327609316, 633987446, 420126758, 781003698, 183600821, 227136872, 171356450, 780622788, 744747104, 946449902, 107669309, 832192553, 629929208, 458490493, 547108399, 302766754, 22066636, 146395869, 968152701, 621437442, 678991292, 715353943, 856000396, 676641361, 404219440, 303715791, 360141438, 383432141, 744456336, 881961773, 788571532, 782398489, 776643166, 472810939, 132010569, 726342873, 421677461, 84965271, 389408152, 304101699, 737683122, 634075591, 242558542, 969695879, 73878962, 447693755, 333134928, 208553345, 700106979, 101005444, 502839233, 968588110, 301214674, 86078302, 565025101, 946587577, 5004926, 242908143, 105430837, 607089096, 819096348, 438763921, 156791832, 843483562, 513102877, 736794236, 635164566, 545868062, 343711869, 962801428, 297202258, 505419493, 637859373, 206843930, 946452462, 595585659, 653011644, 37763284, 670080065, 969997130, 219168554, 204609473, 745717117, 566476591, 77148512, 473725466, 798642833, 136079116, 869909785, 230771057, 748288891, 364001209, 927460218, 996075513, 680430909, 42441610, 674549448, 397174874, 878110845, 884561876, 219080884, 75077426, 27011483, 24185976, 396510846, 879278485, 267557403, 280322417, 410844278, 870455215, 326409524, 849196762, 365413106, 732548957, 258006568, 846700589, 401415954, 51563804, 978610807, 218837934, 237197069, 879996354, 620870954, 927681663, 744796094, 236238048, 39893115, 461657565, 976900460, 881764632, 510309740, 813134240, 468295085, 958722941, 276304042, 377689911, 956863880, 802574705, 350264517, 576683798, 386489803, 276943744, 544178554, 535528091, 735387198, 47239867, 511748969, 613569565, 577026289, 440241817, 894369028, 442294696, 595541233, 759430860, 230658750, 33194482, 9018475, 772487398, 823225496, 739246458, 642639746, 72435085, 784029723, 486064082, 640736528, 446789989, 258899834, 443225817, 596626310, 498286619, 773364594, 947480794, 835197406, 760762719, 41907061, 883648337, 2542583, 37352935, 358409243, 560526881, 467454380, 349422184, 515182609, 934320882, 365701333, 965364535, 469163560, 245169175, 748857412, 560654164, 203960829, 265071699, 22830403, 58590920, 781669190, 630576597, 107482783, 328192249, 721949577, 379734539, 909579292, 813616762, 221416409, 410935964, 763116134, 985177126, 509703536, 712930735, 233085423, 32440014, 415317994, 149826509, 766898405, 862759587, 393820917, 704227059, 161637746, 718214728, 481726854, 392868702, 855117242, 881619325, 223740547, 746058325, 575605063, 961096072, 501003615, 80398909, 877348041, 695475912, 947140648, 884024653, 480080065, 194783250, 456051991, 717923226, 854891835, 766897337, 887829018, 91690281, 901618733, 772610970, 670226974, 273476133, 990547810, 32989547, 897210953, 816375976, 740141462, 590994377, 258446298, 372417164, 344795065, 95619953, 397449674, 862693153, 371263306, 101075464, 446398609, 609922743, 828611072, 903739689, 522297594, 664117649, 419154370, 869152036, 298633688, 423454105, 187810731, 489360810, 720057777, 985418768, 473673771, 328792264, 468341710, 704041164, 330948557, 843503911, 626829699, 490934662, 387876112, 276679881, 366734048, 219251492, 647061435, 374949591, 943556929, 334267900, 963936199, 687170980, 261784422, 233661289, 666768851, 176585140, 761365346, 458524679, 1365341, 734297995, 777269140, 651733478, 478798108, 661958776, 235362170, 544666175, 545582226, 493427706, 402572203, 432145273, 903239952, 368599370, 994970544, 292780901, 273694082, 535738376, 629672643, 16354924, 442927878, 660586277, 306333132, 278083948, 644878960, 12671259, 598479702, 128286889, 683015784, 799323341, 859419201, 824537103, 674267069, 142426544, 826355759, 538828025, 511996982, 449870741, 317944831, 701491269, 676518779, 611286957, 28936815, 693252686, 803537626, 496609635, 670755406, 796384361, 852646656, 232242238, 937349396, 922863817, 467340556, 788522757, 687101594, 250724379, 662754127, 235058585, 822939651, 104616424, 107510309, 411422977, 565136230, 99256726, 199188691, 30052947, 796830131, 83566260, 328079881, 926101276, 559702885, 220710684, 84758958, 309674098, 355334299, 419392991, 634666122, 298351196, 909715122, 914819256, 427994049, 216485586, 175580335, 655354939, 18832455, 197035464, 730239175, 590225844, 145510470, 91101044, 39686928, 750206318, 997530665, 460218503, 540388440, 170551234, 983737939, 166768684, 25217455, 865036914, 119299096, 358587936, 29316322, 530732155, 868810687, 636190044, 123130648, 617542815, 141428413, 202689068, 846457769, 727993996, 331508262, 931541016, 413185813, 97655363, 336663536, 983479606, 839805749, 707771189, 121230316, 311908997, 305864708, 938222845, 229752577, 135305188, 464492704, 15073015, 292879587, 939694803, 834590630, 304738012, 590950426, 385863837, 536614333, 27956055, 106317597, 971650056, 889159030, 529931743, 787429329, 738588281, 164048348, 7573131, 436568335, 148601717, 186435698, 493481895, 313944444, 244766093, 173139073, 367910876, 703458416, 940648505, 49913651, 126209058, 938895686, 667679312, 12244943, 76845108, 123681146, 619255043, 841233041, 149512881, 376379572, 572251037, 826790995, 31001256, 123592080, 664489978, 561385136, 511490921, 747179159, 421024757, 936529513, 302661071, 713855076, 505817587, 516775487, 306762097, 487810794, 957547345, 254874401, 540169914, 620181221, 468719021, 342685031, 710842591, 924082934, 247024472, 674739047, 565850079, 224034255, 240926021, 448742819, 754037457, 917595012, 324997604, 229117837, 890941048, 4350978, 756373034, 536419305, 742475145, 953564491, 29497969, 421245401, 883936821, 383205213, 255934756, 149198382, 639578068, 53664636, 224362434, 205459513, 486306838, 690199980, 816540211, 527601089, 257074627, 437685854, 422294399, 883824417, 32138806, 273758513, 240900622, 482952612, 153987760, 194758425, 888007203, 616723345, 23823002, 673662071, 848365761, 364849877, 886949380, 392374958, 267855989, 943547863, 980132320, 141884465, 644499295, 108367149, 769565987, 38386744, 212492274, 780629310, 363660892, 246365928, 327437464, 733902662, 721604832, 257077501, 53492345, 795277369, 195112337, 609235799, 585430106, 265034886, 857887409, 278229402, 839860985, 528911194, 685935169, 524581336, 399400347, 125056922, 301188130, 206486595, 558612778, 416797215, 907709853, 368632198, 246634392, 732529103, 764151385, 255550230, 1327742, 652571009, 785238148, 14062355, 503964208, 861458116, 205538384, 848011074, 65586906, 160377035, 668878835, 300986452, 767676277, 430524754, 993697215, 160207020, 625197433, 446712213, 666913992, 852688651, 930342836, 255680911, 171298495, 217001178, 207019747, 590485953, 405323270, 551520189, 67263403, 452344587, 567587838, 504739749, 414052004, 200274843, 862322109, 16387939, 416581666, 648845286, 954271441, 398642850, 597813831, 164584985, 399048495, 481442014, 976928302, 530777389, 112058457, 861629000, 377847883, 684686922, 710588957, 168014918, 547129386, 420498235, 895952178, 769617672, 45145289, 821303043, 905514307, 984459587, 680519531, 117797884, 915933931, 803663551, 695255132, 987791451, 915682437, 287984977, 477123814, 559834830, 610324883, 649740481, 404142999, 701690798, 230367935, 329901574, 707870110, 453667203, 361204604, 681205892, 979373283, 329013081, 412494647, 918411198, 620006712, 165119554, 135905365, 649996880, 434298598, 445293996, 129894730, 673283816, 11033069, 399438711, 240376587, 920059050, 670559398, 829320614, 475384761, 689497510, 757038308, 301415194, 159197404, 982401358, 955727018, 997545641, 922047100, 319154075, 975479615, 35083202, 845181396, 340982785, 938695471, 597524931, 944165141, 753539070, 345361932, 529808647, 135115662, 823371188, 321965178, 638261988, 909023726, 261360328, 372692914, 989690426, 738338716, 428603689, 52946489, 167024884, 883819276, 749101057, 865879762, 681036676, 590525400, 286081224, 643529930, 841154652, 576582473, 612880803, 984889221, 61281553, 847306991, 597648641, 496267532, 837438247, 592993499, 508398977, 637007695, 464810390, 805656527, 765722137, 498580299, 129392761, 103926056, 334696358, 800924047, 456366900, 185229520, 29074159, 36850698, 975078288, 903175906, 932774519, 755802543, 136900796, 463467897, 355103728, 507918752, 548729291, 199561754, 296024627, 154456203, 375868491, 725506318, 297169837, 381323083, 487310233, 54331073, 297611765, 373829094, 491966532, 741655139, 13338732, 248199871, 132146352, 447386148, 762036071, 557439512, 58980653, 721304850, 967131217, 897728621, 115577377, 260508187, 677557613, 647378340, 865060498, 579142413, 186915351, 467776712, 31547286, 501341172, 925122975, 250060417, 798741671, 614163312, 526451405, 777675638, 510679093, 461511331, 262360306, 73085046, 605239644, 513921574, 329245096, 937630979, 819064596, 783856835, 470069798, 764849993, 860546206, 263142865, 61428739, 6415401, 972775086, 580164460, 624296144, 705505999, 191565343, 184182062, 271339198, 784753373, 719863860, 210534795, 424038326, 764688390, 560023913, 88272533, 448736632, 123513730, 590925424, 80148205, 447412456, 70724481, 952981183, 631525384, 452064578, 677612798, 645170735, 547509443, 539758381, 187395827, 332891505, 275033815, 130320546, 958732610, 559227667, 850477899, 406932198, 469643375, 973347536, 483973136, 300878848, 642475117, 348037229, 42711220, 695864161, 652645462, 626473666, 447468890, 875241919, 759096086, 114821358, 271174409, 241566409, 453364579, 935056484, 476670049, 460459902, 639682433, 473452218, 661801978, 566581105, 626496125, 232322929, 615541556, 484644357, 535009066, 573856450, 907995003, 114265481, 221868820, 533693696, 164916559, 195713052, 572331702, 783958724, 126163428, 64963075, 91162342, 909240399, 473783717, 992499679, 423634830, 605310627, 70262991, 916599077, 573950512, 640517077, 29644207, 153245705, 981072101, 900472042, 844130686, 562028106, 639952337, 533486527, 805373863, 201372110, 174465573, 605942097, 184262291, 697915325, 419002204, 149236003, 898915383, 847176023, 395199352, 656869813, 707842680, 800671491, 537949516, 926062478, 232078956, 139060572, 924787823, 253109262, 20375925, 89815406, 100258326, 966716240, 943541002, 717744009, 787679220, 687647881, 493817776, 817448728, 257970540, 810866105, 141604906, 358306054, 776977509, 363130503, 513825762, 998760571, 998356719, 324368334, 580253382, 519580797, 570844020, 715684889, 315473019, 49072851, 508711666, 995876752, 408269070, 628748246, 59555216, 506776737, 461443393, 283353345, 608189248, 797503564, 836162910, 377928741, 457550295, 324968660, 410800720, 200313302, 901292750, 833250159, 436144304, 707758788, 267749459, 804483462, 52918975, 397335519, 796360897, 612225389, 767012807, 113321643, 620696030, 113820266, 178450313, 697155928, 613507776, 551871482, 737386087, 882441629, 958565563, 952863862, 140073618, 958231393, 589424726, 185135144, 417710062, 797313955, 186078950, 570707058, 514513684, 37352809, 282544221, 382384210, 798410320, 140720687, 405660084, 493941546, 601085531, 198018405, 62340345, 94101442, 45399524, 870494516, 865955322, 723554973, 171498166, 883964931, 764539842, 608222461, 71640960, 446493794, 133211198, 108411161, 293645761, 429474864, 939516301, 791817781, 308459625, 447485394, 950758601, 999531631, 940578496, 219411620, 341116937, 641962079, 750827771, 775299748, 303180650, 906868409, 204207846, 97042683, 65661802, 388535964, 412591276, 416859497, 216786621, 479909856, 861633571, 728974077, 869461065, 773789902, 566293437, 614149181, 343123668, 35163812, 72826970, 552486119, 665433736, 564795395, 640465676, 586777476, 694156637, 594202116, 259555719, 90627804, 593802781, 270625542, 99366167, 203058221, 52590351, 391564726, 603563747, 447412760, 945863113, 376856144, 653854652, 346141118, 502895080, 224688055, 134942855, 169144956, 232271940, 592365279, 405505080, 86909757, 945925330, 218377727, 590708721, 490058061, 28189435, 701505430, 581394443, 908073195, 406705884, 725264687, 621885455, 512485571, 912057647, 288940309, 169796418, 716211630, 398938393, 915802552, 371715301, 843655439, 852821406, 7379719, 132189037, 998829660, 188939417, 356778987, 92198633, 670558547, 667680433, 270284608, 904862789, 78357598, 906618243, 511349689, 780176215, 18125042, 162405450, 817056828, 591116868, 346633153, 380552864, 614032186, 332863159, 833252284, 465921229, 251682389, 843091265, 9169544, 109048041, 172282158, 161379540, 721234131, 66794052, 732461106, 506306742, 256553515, 340285247, 935824576, 75659822, 380330783, 793039476, 237625382, 803170181, 35274381, 830596382, 464853621, 487545536, 821744498, 652607434, 496588420, 687384982, 699399627, 70594307, 251442115, 298057422, 477394417, 164837461, 250611419, 998189708, 706811300, 955065647, 890764476, 731020470, 963233464, 445448825, 459309330, 980369460, 492199603, 889138818, 246981363, 333995270, 458999039, 983410294, 482757429, 717539177, 616332726, 46553293, 674745752, 48600257, 367098880, 806247562, 625295688, 699601276, 50885775, 911509850, 538844814, 827766470, 142558354, 5120653, 619099823, 779262941, 950287566, 492216660, 487259474, 389102550, 788575361, 595643031, 223979653, 946678423, 462033493, 986592525, 593352550, 662079648, 615254985, 381075875, 285781416, 920774892, 123990354, 7642886, 880728427, 250121837, 147806435, 667728587, 48494157, 466875106, 589384633, 438678092, 749761802, 805692707, 863896663, 64304501, 438729963, 742751265, 872610969, 606778014, 932351231, 432870767, 589587147, 77846731, 160503820, 314904606, 219392231, 403738644, 189509473, 76493455, 640786605, 935435032, 78069564, 332678494, 472895927, 54436614, 984385838, 788047696, 982969656, 924631685, 729030317, 608148300, 931771973, 553909071, 614387377, 936876741, 795653029, 973982396, 736223525, 693683324, 534640149, 35253693, 222806424, 216770662, 884041549, 302578549, 689384229, 134050994, 100464724, 537050312, 765114859, 345414955, 631022153, 854630404, 408594653, 294442033, 406716511, 844625072, 44315075, 459833534, 390923804, 125730126, 101195539, 597508169, 717533794, 915994667, 52077401, 21090568, 672883128, 409153209, 196002440, 80658097, 961074704, 736183168, 808520994, 826200405, 47057328, 92774242, 95886216, 623442280, 739367536, 191026639, 692278691, 537637247, 537247363, 981697533, 371311332, 248448171, 561838845, 516644909, 881082062, 440694382, 81000096, 943933394, 687880704, 676037296, 375911857, 817552907, 258373260, 881226399, 464643851, 978774698, 49444695, 350268855, 563448863, 362438092, 970626506, 554353997, 734565833, 542032398, 175582544, 298270202, 287609736, 660670233, 683791071, 396109163, 876888663, 991111263, 631367508, 364094331, 876097191, 369437440, 228842873, 488450074, 911360650, 992454449, 967717535, 951932712, 662479410, 96641967, 143659822, 507125269, 977777499, 708992967, 972482057, 566844102, 336043380, 813060644, 349385059, 917443587, 223220003, 566932995, 169319676, 172216017, 571450955, 865740288, 185167813, 306818048, 898252501, 153978412, 158786163, 938485904, 272370562, 903836928, 313041514, 587712317, 478452473, 506728329, 607674144, 647405864, 167393292, 476475855, 165745887, 589742891, 824693663, 863753186, 79914725, 334083057, 63341280, 767751288, 51460653, 925134194, 224301059, 319231096, 347423331, 320389221, 483633482, 136883141, 100752258, 73926087, 842199766, 646217872, 747107281, 571791896, 28444942, 251855323, 352105490, 982552975, 111452523, 151178798, 436225946, 801416953, 684891089, 805172230, 917849135, 607329545, 966992665, 97948961, 344191586, 921651440, 447042916, 503036538, 832947322, 132347388, 226763543, 904685120, 748923658, 239475811, 592388209, 792215450, 879598668, 956609297, 871618627, 184872916, 131475466, 797240238, 426871754, 238242657, 184352166, 434067197, 76810734, 664414810, 602888680, 119839802, 526524765, 833539607, 432473712, 79331156, 751993769, 527845274, 908787850, 691768898, 890998586, 105334182, 957542713, 434382156, 569518909, 948563423, 894355818, 523866029, 115221272, 6744199, 352434384, 617774096, 64083445, 466018876, 678396955, 938004562, 777455809, 54355508, 500347762, 802014403, 120821223, 509460888, 722171649, 435134284, 683525175, 459229050, 868414680, 974772475, 799829253, 995976281, 716897108, 492744407, 486069460, 541357860, 195679307, 370205034, 77676430, 549400064, 151022726, 286233203, 68063311, 909107695, 901384974, 679478588, 219545058, 884622513, 396038513, 393446745, 368426319, 471250956, 905938934, 639822755, 851206842, 680813257, 548987471, 132314410, 72587405, 541149292, 705589059, 697154968, 869086704, 550143162, 520311187, 665526413, 570679823, 923509313, 4912212, 832046583, 947611115, 214702149, 98522999, 162175966, 96868044, 566904955, 895067889, 988383296, 957742934, 961954191, 727237571, 538969495, 976771514, 246432704, 989756732, 361994716, 30679845, 670285846, 483122395, 549244483, 121121426, 547805193, 12545488, 396479234, 814713828, 639008946, 210712956, 269924870, 89316836, 165144976, 330994680, 446115671, 148685934, 635241726, 370279875, 579214642, 782524018, 420115210, 396977481, 37863909, 438672305, 591486826, 586415211, 920169895, 674715168, 965518556, 865850491, 728515089, 983732207, 381162951, 912712524, 17643208, 109540704, 910225970, 97847418, 587051007, 676220237, 18904025, 959038019, 913811522, 148011983, 89793829, 686367744, 373329377, 203461540, 861869669, 496104214, 875124123, 313770236, 863982276, 687209589, 142226371, 883075725, 665245862, 214495766, 568541616, 945487020, 365530074, 570640409, 362257350, 651184978, 531458757, 761605439, 160455445, 635550563, 693820374, 43361353, 398132337, 971047098, 713392220, 606761403, 209891738, 39743260, 702507466, 20043366, 838735703, 55762404, 769294647, 812132291, 975560770, 242842641, 900416151, 71018767, 782696746, 99691068, 185258526, 222673914, 868562818, 169319514, 536478360, 287421184, 341941677, 169286393, 409051003, 839842461, 869218082, 633764226, 114540651, 949228402, 530142310, 281447409, 740027257, 517096274, 898318011, 63685075, 378744503, 610545107, 304231458, 644847196, 511516533, 682959351, 149315847, 266814040, 319263452, 267776019, 848238787, 750926765, 840045327, 862325117, 348733864, 298138703, 284103598, 598492580, 156001880, 70279098, 474460193, 55455136, 869473966, 756409230, 758012695, 298015263, 525530124, 386557302, 211952772, 335553538, 957935662, 244349152, 354739297, 720795168, 485356310, 123375568, 127688490, 524548650, 233259706, 673615856, 905091702, 872192099, 565369869, 678722703, 998707985, 214658472, 14750930, 551578757, 954889053, 51954916, 193284787, 168201586, 728476660, 929438341, 351726612, 315727004, 861429475, 536919812, 343507402, 340090007, 957939125, 896896141, 108832853, 969619126, 854127712, 908048109, 226093267, 481683719, 862001740, 83009830, 719129431, 947949324, 682702677, 765969829, 920320169, 430992852, 944702337, 21696046, 595218194, 71718902, 456900254, 401937727, 940533337, 494203404, 420795947, 936000370, 793390778, 898448496, 886943470, 723450332, 167326337, 671009820, 905745253, 79751207, 44135507, 471347988, 76469739, 852248037, 23228115, 855406855, 77040443, 490388316, 718114335, 158903506, 46272561, 696770576, 233752836, 236411556, 840163347, 655377204, 430704745, 690839716, 457192987, 311567722, 643311361, 710309085, 719450806, 692934508, 675093608, 602377699, 560004843, 887192737, 22411572, 700243769, 778601769, 475398829, 416714946, 333179498, 377534651, 722464325, 572207172, 774386588, 605749620, 126491177, 722624992, 792360758, 80682917, 702867878, 690550568, 690575300, 727975933, 517876721, 673831410, 103814711, 280342868, 430219673, 870955233, 922615792, 495412461, 273205147, 303205068, 217276601, 155926139, 650525550, 607250188, 153066784, 754460842, 123776351, 324631794, 201912444, 902626410, 200004682, 196197395, 991865543, 851427095, 853377876, 76141036, 745644546, 141393876, 705712792, 842861082, 625257810, 772385545, 894792161, 252360651, 219017589, 277016199, 302023929, 623389210, 253319888, 608772325, 244520059, 331285887, 24354541, 709469850, 69520653, 114155173, 145349975, 651754933, 414033701, 760143896, 357131644, 885091615, 692610222, 754394433, 602591700, 120210569, 480536385, 872061791, 693478065, 347202054, 507368878, 850778921, 811337843, 260106746, 371979786, 8929237, 905410654, 938041333, 960282568, 487617716, 997254909, 865594720, 73572436, 696694378, 193410759, 852642201, 613898265, 142698161, 407904688, 432888090, 418918189, 614915278, 49054610, 571490650, 790831059, 23777042, 828384584, 336056479, 261645030, 378464012, 219823651, 558456330, 139998861, 261295658, 242664484, 996227168, 29251656, 141410053, 250377572, 803100611, 92012, 430968598, 442929607, 105511481, 292521351, 156235931, 747991148, 810091891, 477555189, 500494900, 237715401, 106614576, 52224509, 240033921, 316130890, 166783020, 530933598, 504461133, 627444297, 341890771, 493617553, 164265460, 892682518, 285126970, 874065798, 74491465, 216537320, 46381117, 190774584, 730597372, 81085129, 824801693, 4264951, 314183570, 493730080, 609463874, 262977862, 552598301, 169742682, 2717924, 523912583, 489606623, 48086801, 97752479, 205989894, 777970808, 883350775, 589463072, 356072888, 237721004, 620799002, 910633983, 438918286, 616077332, 432510106, 755711076, 840235599, 131107530, 175183969, 913891278, 606759694, 296531310, 799391173, 439648937, 469221439, 375101853, 729058273, 835224804, 703889654, 985151777, 961183997, 967729004, 25460789, 769207088, 773819302, 334545345, 34959312, 644985576, 466276560, 36864997, 805694317, 478388474, 634923222, 127178231, 551939651, 592766391, 967506463, 201609935, 475015688, 56367885, 537253900, 707778631, 300635082, 71339940, 751600620, 325887850, 475631430, 306752845, 732378524, 277186924, 676604047, 306397938, 882411484, 7467471, 762004370, 934014113, 342600712, 398796987, 467505420, 562673092, 322440937, 115173532, 397510632, 880904923, 260859141, 798193717, 506262731, 203215006, 302682278, 513286514, 702090227, 960404344, 689154089, 549080107, 123121095, 66886473, 531905326, 118024980, 2530105, 847815736, 958177182, 194873862, 803381291, 75976161, 53148937, 359540342, 51816049, 823380223, 680926877, 450335756, 486075014, 505281008, 22328596, 268572783, 763937705, 31285725, 1490149, 193186070, 548215060, 904011013, 226966158, 15883576, 20449347, 380003454, 124948509, 851676191, 202152941, 230750250, 325540143, 876610807, 793297544, 210910282, 113591317, 675455634, 973910660, 343457815, 123802311, 208383568, 659759003, 957791868, 81115208, 83357213, 872503697, 458340231, 247136352, 264154363, 702945225, 612682958, 636787450, 571342288, 71868090, 511751863, 749668031, 189480048, 896177882, 69178461, 687856429, 688005027, 300743505, 146813275, 477909257, 902093771, 119359819, 177535230, 938285764, 334990553, 482431990, 333785572, 366405620, 308207640, 181625642, 188278251, 1120001, 764630472, 561960298, 495954878, 802895099, 778447631, 948605242, 672191870, 249794636, 459235334, 608424875, 18856435, 816614426, 754836096, 321580704, 762034905, 220697054, 499501758, 689796596, 856012205, 84585822, 31154571, 858449527, 335102074, 287243405, 972515664, 160496370, 487348865, 862413755, 565012391, 379906906, 681231134, 486597044, 225038285, 992991410, 251512361, 557519713, 802457639, 999649295, 303729162, 228166252, 252031495, 934957882, 370582676, 575190019, 922739612, 480672950, 90177929, 502430701, 754680920, 176478999, 107303491, 695587054, 754050276, 441217963, 656906828, 703268637, 176417343, 446376324, 840483470, 528163210, 560713899, 12872649, 583295124, 310247923, 385193287, 723396763, 364211143, 236379543, 476926827, 479110903, 390236327, 354347068, 680329802, 131435850, 899084927, 49142712, 235375070, 414619974, 814202848, 262038252, 182497609, 621656340, 107838354, 207989677, 611184534, 136332834, 357256751, 678214351, 243755527, 694268024, 445207774, 641331052, 19400354, 301687116, 405520482, 854370923, 490079338, 199438685, 698924799, 361927749, 551884346, 542364845, 430584064, 73885538, 931301869, 796893733, 277083243, 299548105, 539576943, 756739912, 589122630, 153394732, 850874263, 49440874, 139295255, 895911239, 848993590, 253215267, 352119307, 458565631, 500622962, 665816443, 40493780, 924774054, 173275480, 576341301, 640972481, 619584790, 217837207, 203572536, 462705768, 817710546, 11222125, 833703791, 224118611, 894602733, 844246186, 242786851, 1626716, 337444821, 572449080, 907079174, 717099848, 12872406, 700155314, 853790999, 865319040, 14991083, 534951518, 226785982, 170023525, 733952829, 216248691, 295065498, 318834367, 982069084, 487305924, 665621841, 563012424, 843918839, 290569547, 412725567, 566748231, 885420703, 194237836, 607262707, 825779317, 495416864, 753284858, 899707563, 673363538, 947333975, 796603952, 277322975, 890561749, 316514452, 367215622, 76275368, 967089384, 677323852, 409177393, 566428052, 355326702, 737727008, 495855625, 766195686, 591975746, 166650278, 964624876, 479743051, 292691259, 199085408, 459115576, 431247567, 835225942, 398057778, 57764488, 780606895, 676680772, 651343600, 498065609, 415766402, 676568606, 473429865, 949108920, 346661088, 797251586, 724409481, 921633268, 150607069, 786038434, 921325784, 866019834, 555591873, 82722367, 175508451, 162063692, 235955513, 966586059, 552570288, 566268647, 133973616, 39296087, 632149152, 743910111, 491034962, 625168313, 522775644, 634468589, 698563565, 598973149, 329683564, 766841271, 703372805, 584353424, 311709842, 622816196, 435562461, 472587272, 208596878, 545711741, 189553679, 348667437, 37848836, 80982679, 157771245, 683995160, 515474203, 20395949, 160026638, 201831632, 12092947, 338727075, 621943181, 818835146, 634923552, 579349428, 769202923, 291288997, 649375760, 344238786, 518246554, 549849341, 196134627, 703996673, 128749066, 576438999, 923373021, 131735927, 423690859, 404778736, 488340349, 563419568, 360665187, 143544584, 821226407, 857155784, 688130769, 356670908, 583430317, 933083858, 253716341, 878497189, 341439357, 275767077, 453487174, 264945563, 656200217, 448335079, 719359259, 295787903, 602088793, 186588769, 967403504, 689102406, 37857585, 96818128, 446289709, 869604933, 121273503, 234559218, 263247276, 159402397, 765407457, 533557146, 879799386, 731990380, 89076708, 261975271, 704433446, 72675785, 990723421, 531485340, 968672883, 161386409, 518837508, 96900738, 822563796, 719697634, 831892115, 685193391, 762088336, 314795525, 588570591, 54547269, 326898331, 209515675, 537361501, 768542759, 2704924, 353474983, 178067655, 659994441, 645943601, 75493661, 19757886, 54004552, 771076364, 747034842, 32152706, 994687684, 860790309, 989995866, 643003328, 38917322, 500591536, 159139808, 835673109, 583146859, 82830911, 969237702, 346722052, 795972089, 405762595, 64555013, 147232281, 186284975, 340087277, 258461662, 28340001, 145133800, 931973547, 977195422, 23307560, 748831944, 835828643, 105465266, 537316570, 894541240, 488472448, 737468322, 93677690, 531509403, 992979434, 955206809, 251848145, 535520842, 374726935, 839328306, 308362059, 755571984, 525891006, 45186530, 691137656, 239260643, 826143281, 3924534, 339948134, 2393386, 376999174, 755164266, 17805246, 370503312, 738576104, 828399565, 37747151, 331118012, 383960632, 890037686, 234334122, 150743545, 541574422, 922476348, 980138490, 349402957, 263458211, 279693650, 755435040, 190558603, 418132508, 537504248, 144729177, 257038397, 63633228, 209961314, 698221260, 430404905, 285123583, 283247740, 584047566, 106525573, 80268842, 809426095, 27285556, 641904454, 33092207, 221902235, 489767643, 652219124, 812581543, 468805520, 260634403, 702302943, 323164098, 637775531, 329869128, 974539466, 378310722, 38038584, 148147175, 74163375, 53138113, 976409102, 256793272, 372451042, 185849953, 87886840, 462708284, 454349840, 755634114, 211069115, 759714956, 607269525, 790889615, 121622359, 142729995, 321696264, 365404344, 718019825, 380391820, 858827796, 394484442, 613536961, 20963351, 666425786, 642419765, 360168124, 935507649, 852978796, 810032696, 495820120, 865268181, 144148395, 718055139, 316905052, 295707808, 720513159, 451974842, 640986466, 116606312, 455772103, 175216647, 746986152, 220381381, 807199723, 249624091, 55425477, 33961874, 801665859, 319755998, 839492201, 596883187, 152551908, 713807824, 650475079, 545379673, 688469607, 257173467, 731427071, 770996635, 977306881, 400362045, 45091872, 467742437, 549099436, 424165873, 688796598, 816722397, 245737575, 497824853, 209985835, 291790575, 110785224, 855942913, 682613937, 925806986, 154585802, 874890541, 513869099, 115113927, 191049290, 331046489, 436709962, 520586521, 262599836, 812398202, 326919529, 646884061, 70056291, 105526753, 142972695, 41266850, 436870496, 449334247, 351602553, 157767359, 646967564, 5847910, 91022098, 291702335, 864884740, 147364380, 306041485, 430528514, 397392421, 787305883, 785457961, 400018428, 142318447, 27267128, 424049315, 286687863, 186559212, 251405344, 191162445, 694171325, 897305968, 157468355, 891272261, 109117703, 497034604, 407375759, 55211198, 257306500, 161683695, 591017300, 111973328, 482039376, 440449701, 380248121, 24366404, 757836088, 30910964, 905847343, 62988958, 565659007, 607931516, 435533247, 253777236, 249524255, 155785714, 944839240, 788972092, 525256327, 390837119, 324737593, 420003876, 483708665, 198201857, 216384065, 582581688, 758866424, 95912084, 28521379, 134313930, 414898912, 50766360, 600958917, 632338924, 958645060, 501049669, 977034596, 43690804, 923354576, 162291433, 918883344, 540157210, 81303463, 860572571, 524780466, 457263485, 862777508, 264412304, 601474420, 786417436, 218546496, 707340844, 955649750, 158423727, 780757978, 138787304, 904514775, 319847020, 879599473, 26349047, 253296952, 941332016, 267616305, 945582051, 921822422, 579802344, 158619125, 403561693, 629403755, 490875031, 677722343, 885531344, 303664799, 173147892, 438699578, 463391765, 924448359, 706404864, 890551474, 630939371, 344450522, 843976557, 396579427, 805243468, 54922797, 666903987, 776786585, 649592321, 94063542, 567100627, 428669819, 820724270, 976078849, 333598183, 740272345, 9472894, 519708345, 432143133, 798309401, 986123297, 600581039, 300753822, 656331863, 897025561, 505910358, 916136263, 593551690, 635551729, 27142402, 34915468, 590600740, 402802610, 807837063, 715601358, 193469435, 212214600, 941352562, 384664210, 681320750, 713121618, 530388947, 365940642, 997589877, 156056812, 336487584, 736332050, 813947456, 874367389, 110458863, 365194718, 45806893, 650006198, 468944422, 466913215, 749314184, 671356418, 799895305, 225592363, 440294891, 33335743, 851193943, 963633821, 757399992, 845109834, 545099422, 946902805, 406294836, 650242597, 14637192, 196251920, 550757873, 96495476, 237624208, 775455047, 622591480, 906271747, 214718068, 185591323, 94952195, 581819315, 694980611, 745120141, 915499347, 748278701, 633511920, 144488003, 666609223, 600749702, 31098737, 508741918, 972145225, 157753564, 237626202, 635239306, 231600519, 242112745, 372375813, 761969309, 16958408, 300319490, 276776283, 47139665, 378025765, 846801746, 819358591, 718742601, 478949542, 903948506, 575802445, 832652970, 16477097, 193795462, 589414169, 675268046, 811370312, 937576852, 917417449, 185074641, 826683548, 655956446, 324087399, 333761806, 37884453, 159569628, 413902223, 263011329, 613749098, 640516753, 811502529, 997014111, 558709667, 593312586, 652999579, 713042049, 640530678, 795907205, 58296997, 5779918, 531357883, 632621011, 438418554, 247007671, 706823417, 546197661, 585925234, 830034271, 142834711, 354014519, 308803712, 948147678, 101032523, 511626172, 724880770, 122823219, 869204075, 205698691, 859277975, 649904171, 651812879, 781676952, 291704388, 48256992, 980883852, 44580292, 647485547, 830005400, 993446947, 294489882, 986809708, 599365087, 643842297, 657333976, 357253791, 398267546, 452289351, 380254489, 419375400, 526999252, 905238136, 133785845, 155646545, 997917643, 155644299, 158874631, 159099258, 549501240, 75501958, 258487471, 635259232, 808783947, 112544057, 955583089, 331371423, 852408065, 68909064, 922943663, 304547540, 491141468, 451777060, 792556049, 117199630, 874123773, 284201004, 156234167, 246149039, 904614522, 151025834, 998093899, 150984435, 990082075, 788356074, 754459656, 656211190, 793536570, 760570746, 246782063, 366982251, 996956613, 468781991, 823529875, 68012383, 220705378, 551937214, 853094121, 700836205, 460071446, 814823631, 816356231, 496760944, 42682993, 241948488, 960710145, 992404263, 655042903, 188388506, 308781463, 476925542, 673692857, 265918320, 540517399, 845233919, 968740565, 171372741, 12955042, 221012981, 328593338, 978274785, 108618597, 983679546, 356543336, 499924856, 454713166, 131231082, 619896204, 979837961, 584371580, 838251137, 150514397, 880464395, 289618124, 122707954, 970783817, 337376341, 308586439, 464986650, 841448967, 270034850, 776211940, 84998276, 487118423, 362891082, 962214481, 19374523, 587980757, 34907071, 588406678, 831272940, 797310771, 861445469, 762867708, 434276559, 736236304, 239846299, 303009375, 238925540, 358961644, 252956070, 228485456, 706342921, 783596295, 159369318, 105387654, 895811481, 912338592, 689524399, 541158479, 68148043, 632375786, 63202909, 359524886, 64687992, 853407528, 337592393, 528907896, 844131799, 95937968, 412398462, 37527326, 22269183, 619083463, 542327708, 831127949, 809320379, 538117152, 988994249, 737471173, 771226652, 443448517, 841960765, 24661685, 931066885, 97778247, 938398770, 156336162, 696298116, 929058088, 576528718, 277072177, 574614962, 112969307, 326512342, 767985658, 116845106, 561684704, 639430226, 283979809, 379398947, 450599552, 448309973, 172865646, 180293354, 148408857, 647193833, 857925443, 66574543, 624269443, 191155214, 157487477, 750640198, 641023377, 156785898, 572435761, 837555642, 417789155, 627286204, 690197031, 614013242, 207228906, 5081552, 309356296, 86025595, 66571346, 801415372, 439452798, 708416621, 484172828, 57543287, 253731464, 40421986, 23729660, 643862447, 427506060, 735589600, 578611003, 554435762, 453020574, 866465878, 315170626, 677340828, 338024326, 715899750, 58091038, 642640449, 904065578, 624719806, 210041724, 370649884, 6176694, 800034973, 856528159, 123271985, 671525573, 559350615, 246934346, 719086201, 795715840, 930590041, 265065060, 398571241, 717083029, 548786614, 351257173, 302901296, 998962598, 233355336, 191758626, 500372507, 610924613, 389657505, 790115508, 678043751, 608356033, 367549996, 578616980, 212651769, 802783955, 352423374, 60999796, 22265752, 176833355, 272523510, 344381619, 78433501, 476145830, 489656547, 970156113, 999750092, 40976203, 776772833, 538031929, 549610938, 196520051, 96094493, 345605987, 546187814, 216833120, 876771838, 824816573, 649995435, 286489382, 321151153, 542908898, 720660057, 658521399, 447726412, 160680599, 334522954, 948237605, 813270377, 761775470, 595151090, 405710481, 93567640, 212305786, 724107659, 61415952, 651631718, 545751084, 630468928, 590234002, 286583157, 439917074, 708266855, 924515083, 502337206, 72182768, 29098221, 995416609, 286225671, 200169268, 470071249, 635196129, 884577351, 950165666, 726454174, 452554720, 657613276, 873497506, 355499768, 398466391, 447472229, 919579030, 330067693, 156724060, 186011527, 247096979, 416628426, 276948638, 727949776, 482901337, 523719507, 937403003, 188743803, 31102352, 39673364, 936647089, 592221138, 437295761, 352380082, 145500255, 598835630, 102232431, 428690733, 133201008, 706917251, 955064605, 445683542, 847821811, 13235533, 585252510, 712418892, 271086424, 844189815, 314497363, 337696241, 386646620, 977617902, 149102659, 746620491, 350033754, 751906858, 859696001, 614031666, 591916642, 766155826, 603708469, 878475170, 12615255, 767415468, 546397593, 444423393, 196565011, 952199677, 218653466, 261017912, 487837282, 586853024, 72955245, 191710681, 945993210, 458847286, 871144849, 63914246, 552249496, 614876070, 739826919, 995810018, 841067875, 203427763, 700977803, 785910286, 130114550, 904765032, 319649434, 191209334, 141868339, 265335796, 908678341, 44895986, 594201139, 618834845, 57243166, 447023205, 874633019, 666359197, 407908348, 319405581, 640356619, 973905641, 601993077, 604020905, 506466170, 850956425, 15638830, 166955425, 561791267, 686346554, 115903823, 113519442, 131959057, 998330503, 288942613, 540488479, 995492474, 24933017, 819238368, 542926850, 278070078, 18012023, 734826254, 305179231, 636667406, 549617006, 465736366, 211009901, 760574807, 496184509, 267791089, 724280725, 955002545, 279342650, 204909994, 924593450, 242610646, 398865073, 104097922, 152429363, 591936579, 70159688, 696882281, 565161438, 668213993, 262052060, 65162662, 824074537, 371807585, 205439089, 454405832, 652119639, 742893994, 568191062, 783780366, 651636053, 972684608, 130785150, 518796688, 864996374, 810546823, 251459691, 281815316, 556752589, 452680129, 329805361, 560188041, 948729184, 814768698, 335519719, 54320054, 906876265, 997068773, 300667398, 282124805, 466014012, 262003898, 105531224, 578451497, 161444026, 818552487, 569446272, 344381419, 963256698, 505947870, 263694571, 959422082, 413241059, 207216939, 892025765, 929735911, 882205191, 780114641, 128697851, 559131550, 619636493, 368263992, 510119515, 934041601, 12537274, 259309639, 458844880, 575782848, 809648547, 5659203, 362113060, 185316928, 326190738, 760588816, 592625557, 348453953, 710827666, 6364237, 564715624, 373729768, 135923549, 288370763, 194726191, 924679955, 389628147, 690749079, 107248236, 381277988, 13501494, 803167399, 283864282, 128391205, 678096064, 628778993, 401147445, 853061843, 938733155, 376047194, 427554187, 562769918, 531692029, 671773361, 537788959, 410369089, 700516512, 817876876, 886293788, 254659725, 715459908, 279371174, 156237833, 903523154, 61280409, 545770024, 702572026, 167674327, 497876364, 598193429, 411293663, 403393801, 856029844, 997983171, 720398842, 280107103, 948014520, 376669076, 817032944, 223137201, 164733036, 850968841, 124552965, 116162950, 615170706, 908498760, 640711656, 96590479, 753255084, 169950830, 236235204, 501972611, 814946220, 158735517, 497504936, 183151501, 327233513, 132305429, 917442090, 136542475, 399703145, 736350544, 116325304, 585469091, 416333078, 948692662, 545222976, 884947002, 762925102, 968375974, 593349218, 343230522, 72541035, 25622333, 984265093, 711829917, 590802186, 696573831, 377950466, 441429880, 190181372, 300642809, 401174542, 13682513, 864753240, 41730274, 654970054, 646606233, 612359979, 408885030, 529793546, 817149085, 327861534, 70436246, 882770297, 546795207, 902217238, 280235664, 333829531, 979363251, 120926588, 627926261, 690886778, 777141234, 231247195, 868822225, 67241343, 278372592, 607858675, 160797347, 898024399, 245467183, 746763899, 41483768, 780629919, 925213233, 432760142, 998787104, 927980079, 353325402, 170844807, 127315951, 718660702, 898962647, 454313126, 891690896, 693832531, 103644824, 135015818, 69968330, 637613636, 269185139, 981652041, 594787261, 550268543, 853595549, 25608167, 410869870, 206988831, 702393255, 141481409, 819718926, 696216512, 398047961, 29128563, 216680397, 859924445, 833767440, 980582758, 793198904, 454345072, 185322622, 264945057, 943702960, 3428281, 75771316, 324518343, 824673998, 820124127, 874666249, 786552001, 798106541, 456904586, 52241516, 164280712, 834502254, 397598486, 522035539, 476976795, 874257195, 92674321, 705030142, 5139879, 324765015, 528848726, 697520162, 401171623, 975321740, 274174906, 486145853, 439917751, 281054235, 300416623, 959862287, 898484516, 572947358, 102947879, 105184660, 557067564, 173018541, 516361737, 171972566, 793853857, 281377037, 927836500, 735073784, 755543807, 500945139, 575391144, 360300261, 157837226, 680880279, 630384423, 580773216, 281793424, 755954266, 740575201, 924125544, 947495390, 582396865, 119919317, 597984681, 989564249, 244955979, 33834478, 829483558, 566475435, 173006646, 465682659, 526883062, 33230870, 911861585, 886787122, 359362855, 810163567, 219292679, 910460268, 922477065, 200061409, 324318509, 292677602, 40409568, 964410137, 412792573, 869907446, 160425500, 114062228, 406156927, 173489601, 604756042, 241603759, 687689863, 135015530, 626402002, 59814971, 664173393, 891037799, 611483413, 216661426, 9593361, 177856247, 211903819, 861936957, 143419204, 594108706, 548742799, 247156831, 347718747, 324323347, 631674453, 646384067, 834891733, 87051233, 339815246, 100443300, 850390664, 5675643, 128147563, 719976785, 350269465, 74410097, 206575141, 32786053, 651338274, 545730925, 653381868, 165453830, 304948106, 485957523, 588335650, 294677046, 318017537, 517677248, 707967166, 404657146, 872719093, 541052357, 563936387, 438251297, 776841137, 204978386, 802107491, 408335242, 832314806, 237755133, 353557070, 751816315, 829958599, 612444995, 37406965, 636922026, 532548682, 543669396, 633929606, 741219339, 678299600, 156436834, 231755252, 432766802, 763956104, 21405365, 727878454, 884328990, 168187109, 609172858, 306431718, 88392317, 265741404, 334870911, 678318728, 362741200, 56519518, 863252453, 983860376, 465239187, 261646502, 65602235, 484583502, 400178629, 946479624, 954123456, 617921721, 909335952, 729747162, 179827756, 601219364, 149668612, 244390766, 920004411, 93998213, 115349062, 568523639, 589643334, 160298099, 412365247, 687940535, 511075809, 454831845, 15833111, 553619073, 567386919, 986268015, 494237450, 615339071, 403808253, 564784445, 968845658, 581694536, 41934964, 608075212, 932539464, 825011275, 426904252, 550655011, 628663520, 587448286, 13155263, 694299757, 998139450, 402770935, 601017253, 473859303, 450810423, 692061422, 371354415, 707700007, 696067335, 988596117, 994896374, 156686987, 90175576, 710936140, 277339305, 587933534, 778303533, 811643741, 675086127, 478838290, 40176237, 794915475, 95817686, 348146223, 701066500, 130241518, 567456621, 3883997, 653440175, 239691094, 162399616, 34388533, 285476333, 568548574, 356100042, 900107167, 647098215, 398997170, 815002863, 749035479, 395803339, 118003746, 526313541, 498523326, 888731431, 739347198, 776781589, 249679789, 245660446, 760496796, 132697318, 951836075, 177833157, 183510763, 141813975, 416613228, 176609149, 446365456, 959197643, 117140485, 204243776, 964118750, 421038929, 727604614, 753462634, 992512051, 338767147, 874918365, 94241566, 322400444, 34049754, 750633923, 525104654, 330956926, 153643449, 701916774, 1974943, 828804104, 477902811, 260347886, 138230605, 212662097, 524106908, 716296005, 828932965, 564117401, 311623521, 570111357, 48325583, 565309957, 151119535, 242009148, 832076721, 93700992, 65448813, 714226256, 881904500, 397913555, 986394889, 384786719, 202087600, 639755912, 265723526, 207546783, 177620320, 47266697, 695005001, 355447187, 671502360, 946481749, 317711771, 33565289, 373501580, 443937709, 924661503, 54600948, 321606620, 794677852, 305184408, 273347339, 596625910, 348837334, 343935274, 687453049, 663418681, 356056884, 263412467, 220673159, 277361060, 889447355, 948711518, 901454950, 470004238, 413819728, 382283961, 138417452, 605740722, 996157939, 711745139, 249284275, 327075291, 402809192, 744453636, 19698837, 944445663, 148852387, 361207738, 350373342, 548797283, 179279770, 886151107, 401742530, 189683524, 854983356, 836591923, 377665710, 95275059, 88351156, 83111314, 517393609, 125360516, 266907728, 971155337, 201948823, 153189381, 71926127, 134493358, 636584340, 18229555, 162091798, 670572871, 774949121, 540472520, 238339364, 824761330, 496437599, 741436943, 515144480, 654880175, 951370196, 222601195, 131655834, 91108166, 38392678, 295705870, 333196877, 872305877, 318667201, 412556089, 797259633, 434088012, 590256236, 781427900, 391680790, 438575783, 876507659, 112118339, 32407553, 414778348, 688324718, 565394764, 503358945, 379803959, 445737035, 158699961, 553418088, 36381714, 136811247, 114807249, 384307988, 730617848, 660183085, 945754243, 742211791, 290023577, 53871094, 456702202, 860380860, 32881012, 742963328, 970191790, 936259215, 739568493, 69753001, 516902012, 523555636, 466801417, 572381845, 909746156, 607276076, 717724532, 611638845, 9390037, 739247198, 275717399, 121299067, 675833988, 187556489, 589005597, 300672851, 821977798, 960984225, 528519287, 74308208, 960733978, 889900956, 76291635, 217703701, 697749479, 531697204, 549463802, 526821484, 879429576, 407783006, 406480901, 856982442, 909410128, 853820393, 717337144, 1975436, 113457691, 286755306, 869984206, 524137002, 778843365, 763002458, 491295412, 415697839, 967851844, 810245591, 908841959, 949246367, 470853482, 912044787, 866944363, 489180706, 579379547, 174655621, 820175163, 310102326, 633354561, 58535443, 896725473, 50128430, 648758461, 682018062, 197970484, 719322875, 393300193, 454457397, 524745418, 857135998, 666126741, 797513895, 419159096, 305893465, 322591995, 876045697, 9157370, 372496841, 840280011, 210469909, 182676048, 441542949, 16531079, 792132339, 660790788, 809033568, 747316805, 596788498, 938943601, 11710585, 172666543, 371104417, 401405815, 848493977, 11219632, 113419791, 137335564, 795189733, 532933347, 237049279, 665890178, 656538553, 564743625, 880515346, 697863932, 501855683, 713821112, 174165014, 127767814, 94262816, 171292462, 684303226, 125756047, 187861073, 184747021, 248728788, 526809937, 618190795, 553105204, 999145087, 314744628, 809276264, 98401548, 699677790, 930731812, 469997495, 94529444, 367087368, 730046634, 954098315, 493464050, 155362161, 14909055, 348899367, 576815533, 610108398, 972585860, 963624864, 525984599, 575282552, 685295240, 746114132, 654218415, 348106966, 4922381, 116323393, 251019558, 640453876, 852015457, 212361977, 839103717, 370915580, 489415512, 701815307, 434533422, 124623127, 327372175, 164241126, 279531892, 374272019, 446672266, 558730870, 596182269, 665917688, 11935636, 823967734, 946872136, 159858919, 485172664, 94774043, 367557802, 978952370, 274205577, 800219796, 154418162, 676578333, 543991831, 635814096, 131449564, 487887037, 484501584, 816020938, 498104948, 41366076, 957076391, 228688971, 393366193, 200226641, 670917542, 396614674, 927959330, 906368036, 354270123, 211450321, 56074952, 473595456, 761747982, 120675608, 644359441, 658367149, 123846268, 28826016, 830081658, 222631555, 812113607, 938445554, 68859909, 896170052, 917660270, 315804298, 960116850, 148108490, 70481713, 372766467, 368455291, 16536038, 906137549, 171733539, 470393834, 19380955, 308469556, 206743893, 66281853, 46223697, 231563193, 390508776, 939182438, 343540245, 875425665, 630664511, 977161203, 24697313, 611331583, 217776154, 752122464, 822409432, 474763640, 406470958, 346832724, 941556521, 251576689, 873718098, 914613524, 922112992, 816721440, 207867327, 682027630, 853923079, 977663951, 234947733, 989961493, 705406231, 819229097, 765647120, 512250713, 484346048, 97138372, 836043942, 797492064, 816103552, 835151401, 53709254, 878472235, 15162040, 822513747, 342990225, 283196973, 368704780, 982599155, 691861406, 44160637, 689123636, 488392953, 739442394, 639203625, 602709379, 601083967, 487668109, 553726289, 228982457, 12781622, 406576517, 136726494, 141610011, 490568773, 678025066, 88789511, 102227886, 606490376, 443784095, 909558772, 467115066, 919793954, 325475519, 170825769, 971543620, 780724273, 730507476, 113617255, 488197897, 631921848, 108011115, 262972314, 195483433, 352433001, 471304983, 16571476, 855604506, 431915080, 857002700, 175380791, 470227214, 954289188, 450472303, 90869012, 53990760, 295339327, 59147350, 920808889, 198219676, 14297271, 181548151, 950448394, 501369842, 688326819, 232845525, 445072087, 252347719, 400838974, 728590523, 200686890, 879921342, 181487716, 757427486, 553698442, 943079564, 907620090, 581796675, 472313640, 882407703, 863863697, 178572111, 712405697, 297564581, 52682896, 860386830, 905416558, 540807989, 337680093, 790898552, 587935348, 544113991, 645261624, 299802296, 149259485, 343034328, 526390823, 408233617, 935906523, 339076508, 755259492, 858861828, 84220229, 890587134, 627352873, 319020556, 116469421, 205789025, 638918908, 515891307, 24363605, 804097411, 630837010, 849865622, 107347396, 902466808, 784128893, 539829700, 451191372, 110862961, 780004212, 459012455, 658269243, 94851582, 496255242, 586555906, 405021132, 252949971, 545820600, 245475968, 875007666, 583706597, 110471429, 72858669, 639464041, 891598252, 656211062, 597519738, 82939104, 300265506, 570124159, 418659655, 449753161, 669346409, 808467153, 880398206, 895019627, 4535942, 265385224, 540624660, 368179372, 519900385, 304265685, 745516468, 149256512, 102284469, 845111962, 873099079, 977390397, 424782363, 154073540, 796310579, 702924834, 136524919, 125172694, 921654476, 49949140, 974865494, 344226052, 294433065, 774046627, 557015847, 867124487, 724849990, 825995453, 798046670, 961070590, 206686022, 569115195, 758154495, 813490932, 87616902, 29040804, 466845567, 715751821, 875011792, 363470491, 903555178, 276215813, 645969929, 30772478, 29865478, 113005018, 874722211, 372614267, 5065640, 958586751, 735277886, 934901137, 420429962, 398790160, 443639130, 875030893, 292523292, 203344541, 296382730, 837142232, 976042022, 79433328, 860629216, 927951820, 137115312, 643448139, 656789271, 137481374, 378362513, 553350394, 444940745, 507714924, 619788588, 743623026, 376223692, 433544897, 769073422, 976764559, 330029808, 441059935, 518760277, 848284148, 327931489, 513552103, 804656234, 801989572, 390421771, 424990758, 479696693, 304837576, 321037983, 920630561, 330470728, 312331798, 877067197, 504523988, 181448149, 305997738, 53381337, 171407377, 185577184, 879406923, 658029648, 193591395, 805301094, 62312627, 659162161, 101624231, 160374514, 534307724, 343502762, 453910470, 14612774, 462071456, 512307534, 853237945, 388663488, 245089204, 537933346, 853255086, 635821329, 893113602, 220085641, 51355022, 735745259, 758882227, 428620855, 685249444, 685220575, 407057570, 568522373, 723566989, 920368268, 645686275, 239782027, 19498212, 66344682, 892944127, 253161072, 173426367, 33017317, 461906955, 461219089, 330463026, 936197757, 559227139, 470602932, 932901662, 838157912, 588909880, 853556782, 219911334, 332886581, 286111018, 995140527, 801111731, 453427221, 114223422, 324331254, 301907602, 939901216, 937704185, 656495405, 477411365, 800542263, 270893168, 109184237, 499120113, 222812294, 740550287, 327587982, 98000374, 231066078, 195511574, 132997763, 419190522, 83958786, 91442593, 391019121, 798120878, 518907373, 814177300, 859541104, 139053105, 256690191, 62692280, 767490785, 767729973, 742825311, 102446961, 347056980, 148347628, 923652001, 136299829, 528897960, 142976183, 263783076, 587763766, 248538485, 489190825, 377939806, 855296556, 957931262, 774533869, 384115004, 827540469, 52884203, 843568095, 877547904, 329275374, 375160261, 426113676, 252282536, 227502799, 436000554, 469912863, 655616109, 506511100, 801207450, 130526307, 725788431, 303893506, 233618122, 480305794, 435037908, 775078976, 234431700, 219064637, 511749224, 962819397, 666455759, 624554934, 987121869, 414687821, 636746845, 747003712, 905392876, 557395787, 158643051, 498868497, 498667802, 833921766, 762418526, 474082018, 443670536, 426368275, 348835650, 494440466, 144679434, 347281357, 745996954, 727317461, 134285580, 372389153, 356087757, 766402239, 870585719, 827922125, 724805724, 340709069, 652278587, 870377283, 848550822, 177383874, 403768702, 269976239, 407226770, 986018437, 407218600, 952942860, 539213778, 667224976, 854504011, 455793167, 550134301, 123397924, 99251561, 142404435, 945732386, 385926344, 498916961, 989825945, 331679357, 155403397, 92127007, 150816802, 718474919, 376352974, 172640866, 349898392, 628597904, 39240242, 179241144, 451211, 932735585, 900332492, 398715614, 370913100, 730681584, 850244695, 469331111, 322172475, 140876990, 395807367, 122030826, 243312225, 332199769, 615092971, 462782050, 881489876, 21278135, 834670763, 640002338, 46625230, 610265494, 706209066, 877090739, 813020842, 512394066, 13779744, 848482323, 521065771, 357050785, 967207883, 143121881, 815604351, 482846556, 391854734, 912290195, 263365135, 369804285, 21131434, 682702216, 214079116, 458851353, 31494661, 49824317, 234137005, 798760213, 204519292, 835034556, 743340726, 925892407, 67436266, 972776810, 466495159, 616943010, 425721915, 7480729, 469834736, 50021837, 206313136, 685059226, 839902880, 327327971, 736641430, 318831489, 219338187, 144583121, 367915659, 945328207, 17301198, 811839862, 674241887, 480136844, 276482132, 432468391, 953201600, 83319820, 65302120, 602959337, 715150627, 81114757, 679203142, 521803047, 107171022, 515290384, 394494585, 933407334, 4338500, 918467718, 571570852, 537434473, 646279758, 40108342, 434957819, 837380009, 49373132, 319319556, 374354261, 545165181, 566141987, 224823559, 273770520, 598989020, 947397532, 417556675, 575825188, 567091465, 728716420, 271720260, 456372962, 444706180, 620806277, 973214828, 95540180, 737934579, 925359380, 102296916, 948916142, 101795493, 556601825, 190300710, 176358334, 785363801, 163177025, 709311667, 782268691, 263388230, 435336765, 870625999, 360855424, 829014816, 548546195, 679107844, 78608279, 262946493, 871856692, 172147795, 149509090, 361331995, 956254705, 148079966, 535704158, 257152287, 231590347, 603880265, 145248038, 995823373, 300655693, 667641156, 975804655, 10806900, 272251333, 962434678, 614807851, 71690717, 793993428, 355082050, 775891158, 414798527, 883894124, 177261331, 541005425, 62945603, 768663941, 44910625, 511843111, 510176737, 689235239, 58674162, 947753274, 768780233, 581057148, 50285626, 111622936, 430410249, 537754492, 361712594, 534803906, 809253345, 155163340, 509697880, 132243138, 997810155, 777305407, 990240764, 405897242, 297608532, 113670143, 476786787, 342887321, 794388103, 182543020, 551469882, 3548620, 109134387, 737779820, 547932506, 680707029, 780359550, 11581821, 275643522, 807295012, 96777814, 204271831, 663546049, 983061819, 274812281, 688307722, 271350054, 472266874, 124699619, 7205993, 309273601, 517597961, 801030326, 893367494, 651634909, 81794384, 775132071, 717723205, 846315318, 689211164, 659095797, 503606401, 934910662, 506407308, 602530302, 316400767, 122567062, 541607689, 192765891, 303636816, 116605176, 876376296, 69965607, 613780723, 279585437, 344498298, 931090463, 797715053, 255271425, 949386622, 703077982, 843209012, 798959607, 897935229, 340392418, 253858089, 230621608, 596355344, 889882022, 475877105, 984413704, 748565788, 475640969, 184150158, 514816680, 194713545, 785267805, 690008396, 162222069, 455487641, 334317282, 49900903, 420992363, 679984037, 190515905, 853167236, 125002452, 786631977, 952780648, 293727641, 493560532, 158792621, 360435144, 231213207, 874231447, 60101927, 374752999, 445286526, 524776305, 454067045, 943589537, 379176159, 504839988, 260562726, 371250385, 280124372, 353739310, 587178908, 827832360, 193425616, 78704579, 765061900, 756955188, 981601564, 759886321, 809691012, 745884990, 591540617, 812761256, 884141116, 885396263, 212149091, 474507725, 418885788, 477545909, 636950437, 51906259, 375827194, 923522353, 114317143, 842679762, 737111465, 369328416, 532716530, 58474709, 521789503, 39654893, 285470103, 327229601, 369214566, 518370716, 263597005, 425379343, 392666773, 883010927, 68943156, 354494557, 72378026, 118355287, 967021693, 487574027, 899675031, 892131423, 847654904, 235797667, 722197906, 386848777, 585543033, 845127096, 462097809, 639581639, 107662184, 307089773, 234482314, 9329745, 91377726, 702007484, 207941280, 193570873, 73339391, 701444318, 350548637, 140285825, 656777964, 14643464, 89317093, 711444855, 60716584, 617880520, 667794581, 13363364, 924657032, 793248652, 432737219, 733798703, 484737389, 99467329, 957036639, 618554275, 395893039, 940858273, 857365386, 145910780, 543474084, 182850117, 206196212, 591106097, 174377014, 196747671, 127542930, 461202959, 619103469, 905604838, 234958075, 314864374, 284302144, 517694999, 561544048, 531156533, 722250229, 16120011, 79197785, 210579133, 369644761, 976034523, 780616536, 781062277, 444558122, 94057753, 123691578, 749385244, 243981627, 705161881, 555836889, 786976080, 860892797, 725147663, 691348887, 655986735, 645887587, 204974993, 719407719, 807595868, 401965981, 59649690, 857089481, 58494494, 592052291, 490115144, 928788912, 135871630, 535912562, 981314265, 657191819, 99858241, 673439947, 174013975, 774807148, 180679407, 644528453, 645796491, 648409826, 378277379, 756190956, 134530974, 319349562, 797378367, 960005709, 807902563, 885626960, 653487719, 366382163, 972697623, 102116335, 365594961, 621723183, 794044455, 820227375, 871577362, 3559901, 333557218, 528902406, 499692321, 807271995, 832392046, 756382701, 454012926, 420467896, 191676943, 149151515, 249139104, 606769484, 837856977, 571285073, 960861027, 142271750, 122913827, 652881911, 661163673, 352207153, 713256838, 975593439, 827635059, 977536924, 652281416, 634987015, 417008757, 588178719, 761218098, 350051161, 975760630, 221700062, 126945178, 445313770, 447461115, 398116718, 806264798, 230043349, 504725817, 15211187, 272886334, 468101167, 978643869, 172927015, 565140902, 313149986, 203449927, 159079521, 186390886, 504518823, 672120318, 259525396, 524223072, 473286234, 609662997, 833403390, 21612987, 760785591, 619830605, 142117573, 659285704, 292258276, 784837229, 166313325, 476089772, 963854405, 639074050, 179644850, 159333373, 119315931, 780165353, 809213579, 630135703, 565164120, 59477542, 575070981, 657950090, 552556012, 140615702, 427131123, 112045950, 579247773, 926332532, 244755224, 172368135, 315379620, 623470225, 578946247, 52285027, 310700394, 98966614, 636306390, 816721440, 755748482, 777048565, 291294415, 597128729, 930182300, 42243943, 610956997, 721938279, 896904420, 520702471, 483534409, 978139698, 802548202, 178691995, 936246653, 298968760, 920764134, 728659339, 733683551, 253243462, 407350299, 546345010, 466616236, 461460709, 391247425, 578847145, 183322456, 857097560, 16790494, 74424992, 245271437, 17228398, 238244540, 129328559, 294192722, 828254175, 790441160, 818338566, 84377515, 778481652, 448400817, 297499064, 646772071, 361533333, 250293295, 691791103, 768470752, 493330653, 303107211, 255989004, 272404891, 95622575, 49656525, 830696774, 879724362, 185607104, 391485723, 782379069, 699845145, 510340619, 871341779, 829014568, 806963775, 161928601, 816654738, 991746858, 781439835, 320345211, 823196713, 991854773, 154883436, 772875805, 718058988, 163074870, 939449467, 466933612, 767266719, 243438984, 584698453, 716592639, 487445640, 482144492, 413704731, 188616791, 716783556, 597372903, 86988156, 994506966, 632716727, 446408764, 356004926, 793239253, 341211116, 559528328, 233274545, 241271422, 709965251, 311289106, 543974177, 859986060, 529504205, 623275046, 295442717, 248695125, 458709201, 773759727, 979922086, 300408428, 666239331, 114250572, 91048221, 751835006, 346550038, 977803293, 177860187, 287052667, 110242590, 96296950, 144768456, 130248636, 772995595, 905675121, 563185628, 593257355, 97405138, 139024057, 862644281, 739425317, 979695352, 617513637, 973535948, 56704895, 386039033, 679862871, 485721730, 123488352, 200172106, 456692555, 878192907, 819914199, 96318837, 898101788, 723605645, 397810098, 812079778, 373564212, 462859085, 633323969, 724293132, 23096476, 221760597, 246350152, 352693268, 522791905, 27010914, 869790678, 635839058, 460263522, 111161151, 446182861, 211242736, 131559873, 384684918, 465218882, 965501218, 290077119, 930770630, 755631630, 802989865, 547231716, 744422618, 648647485, 752100793, 17236646, 336471118, 426091108, 783043392, 381808572, 988024813, 864582294, 720024258, 809892144, 212291155, 400138532, 496765396, 882414945, 32344693, 36282059, 21602677, 453441860, 251084989, 422550438, 771864102, 91267360, 519008492, 948577208, 179031069, 536701982, 698806432, 143774923, 172080681, 334976568, 55417855, 310499046, 367885494, 413630644, 40399684, 733185151, 535236857, 86654415, 553922197, 674798438, 74866915, 248221207, 243600898, 75485330, 99707461, 244252519, 536633278, 708784404, 600577020, 521869998, 391540738, 324282349, 389475826, 364004043, 654962871, 971182203, 894112922, 195518606, 504240016, 768623576, 574031903, 408524585, 911561827, 391633817, 979534592, 266416819, 615988989, 737075049, 390373755, 767122710, 472173302, 150800597, 269701255, 858872148, 697788463, 103968425, 168159251, 844427719, 139932703, 835736917, 187289979, 839965455, 441808158, 889508185, 254789357, 400698017, 71891421, 227749918, 600605955, 748717370, 460672147, 546085187, 532236368, 26252743, 399863286, 289732604, 833763874, 605971882, 808549224, 662321257, 184863408, 648893239, 833078660, 82975107, 35196610, 59860297, 333364288, 872303547, 329586321, 569314984, 227663505, 309303305, 957779058, 795344867, 12925900, 666144228, 922155834, 148177370, 201342735, 476288139, 7031854, 408888148, 907013036, 652498214, 602358953, 540940904, 191477172, 25280335, 668991083, 553333298, 189607418, 995032888, 378994158, 139401343, 631052634, 277823985, 625059721, 146827481, 73021186, 827391694, 872075679, 710675073, 234219925, 457763252, 732344772, 795326225, 247629600, 718086688, 899925356, 891716350, 395918676, 797810623, 852490946, 526682265, 347990402, 129869764, 657513930, 263703597, 160558122, 849834121, 919107216, 342436598, 491692640, 478832393, 386550885, 955230740, 203796205, 424871147, 620993611, 375356715, 509807272, 223555963, 765910020, 983152828, 522238657, 13089880, 923761523, 338995163, 479410912, 752252235, 2930605, 532867784, 233539401, 779392618, 614329619, 244444766, 758098805, 178142614, 748504712, 310236735, 621416437, 161196180, 295424600, 78465427, 278026061, 912628510, 503877017, 954623680, 219268711, 762092222, 851800548, 928961464, 373195061, 51800354, 754523626, 843721335, 933436205, 627751114, 794200578, 903441212, 174664328, 664682447, 289497349, 823386714, 783281589, 113057708, 864423065, 412763543, 207521098, 484938454, 86243355, 268449499, 493053270, 685227052, 352968900, 19584989, 916488253, 130925059, 676848330, 845211025, 909734937, 520997904, 56958998, 536927939, 795004033, 759868152, 188507000, 104917147, 212967737, 833416061, 880062585, 711087419, 607208890, 74940437, 251662724, 128979193, 183250502, 916383159, 673113597, 183681696, 6707130, 421365481, 515266009, 227378217, 902891850, 826572750, 797880091, 798274195, 665276706, 573291964, 285180877, 869445765, 616443699, 438962527, 491072675, 661819443, 585285094, 840706869, 166830189, 27568566, 258653724, 937228914, 796369443, 626966409, 380689209, 876145900, 774750489, 855045348, 394298561, 219231181, 740692470, 714036701, 128692742, 943136202, 521469032, 900632222, 565640828, 490702226, 916209283, 681875496, 576509402, 763051945, 541639496, 690221840, 826847045, 213033656, 433712557, 511408844, 835757091, 830862634, 616715901, 647894450, 253018460, 785009994, 138203799, 478567377, 132954800, 679479087, 812108165, 556259215, 905677377, 70514536, 520818726, 42124574, 344249017, 655227407, 426727621, 687703183, 546854242, 949248839, 76679400, 137127147, 613249789, 32090325, 842555922, 854938371, 456742974, 472711461, 910301352, 17494039, 971099607, 781903596, 939703899, 13668295, 418420814, 915111936, 890427564, 608903686, 274922917, 395916600, 266518982, 193160800, 686134516, 4934087, 873871325, 364835375, 942255870, 103810196, 127047932, 914647193, 225514996, 125409687, 961176530, 732660677, 182790892, 508305747, 891765514, 755132054, 646516886, 56852602, 476686531, 715521789, 801895200, 780995555, 8319291, 773800979, 138905745, 330878154, 529834156, 160341615, 783942148, 501180881, 530287862, 164478505, 936239943, 797284947, 425796239, 439738279, 332851498, 385554511, 791649525, 414023004, 389736969, 667034583, 735867796, 360322653, 773908129, 798960740, 101162576, 867061248, 603514447, 563399637, 861603706, 245621086, 962040668, 862464047, 782130731, 522625452, 233101608, 523437262, 762387393, 637985766, 855688620, 555105530, 206637915, 201629869, 262632872, 639142766, 789073834, 885177783, 807287729, 267682914, 475873735, 571560349, 64562066, 623932509, 725941902, 609294532, 764705297, 545819751, 600273801, 92381224, 404564477, 650729402, 825677453, 976003780, 790750673, 875489760, 275011842, 182173834, 334896168, 711715132, 616444198, 879734695, 755596474, 902362491, 815387761, 356424511, 358882207, 898891966, 856008133, 331745021, 534421919, 212325327, 99372088, 121890446, 56591192, 235744693, 472108438, 271278804, 830807230, 257864147, 520453506, 912453546, 451621316, 420320293, 471580864, 721027712, 277756895, 912424312, 807142615, 162503753, 478020543, 856694318, 657956176, 696275091, 168637067, 754363776, 734843750, 956120814, 745553865, 618305597, 199823583, 784953172, 818522829, 159609422, 625497808, 316207645, 341396133, 173898901, 940977132, 901820382, 672445379, 602260707, 758918771, 561234725, 675001158, 103465814, 661044316, 356610318, 986543195, 815247646, 899940374, 131514168, 207480561, 810495386, 137938233, 984859569, 181719562, 166594144, 999101763, 536356054, 17463023, 392454691, 445401423, 444675125, 509891020, 665655001, 628650677, 129357271, 536835537, 457209883, 35146862, 60110620, 284437669, 195305959, 648433538, 252266066, 892050875, 573916558, 330824328, 892166959, 881112458, 406796489, 945697077, 902266273, 460693762, 884045070, 662159402, 328478335, 1248177, 594477268, 847287420, 571041459, 771798770, 833063738, 419801132, 741769498, 308621134, 262451009, 308911151, 660352203, 226518788, 594914337, 528012489, 948327505, 291570076, 861258017, 882344773, 39051160, 424300126, 151193848, 860398723, 939100507, 382611029, 832840503, 137282800, 232653831, 659596285, 208741380, 575534826, 33718269, 339957113, 842994085, 830688244, 562123042, 813882837, 484217598, 996503768, 987398728, 588304860, 862471291, 997393228, 381257947, 252863559, 692447830, 736464287, 816631428, 306378266, 580754870, 176253070, 137152836, 652188809, 99617498, 491361607, 223481550, 289473908, 100347574, 424294633, 742649437, 765422456, 54167058, 323151546, 37987725, 73136697, 81217285, 855773918, 797476373, 749844484, 379866671, 926815162, 373068195, 109790807, 515141876, 277202614, 445285634, 127171204, 423087774, 822863084, 328939149, 369213663, 166530578, 286408536, 122001861, 368640710, 242962713, 895486392, 436776933, 804825566, 188042806, 96254910, 986479664, 651033524, 650207125, 376130291, 514867560, 506048454, 668762922, 557645339, 710805403, 1103699, 181449518, 301921380, 343188055, 819588591, 212902070, 314560317, 9424462, 511325265, 446086472, 276743915, 225015506, 759077320, 350889884, 649340534, 511460540, 655981613, 663609380, 237436360, 881831209, 533831109, 15135320, 773361623, 354971015, 171082187, 688159225, 288751017, 618313486, 828399581, 985325606, 968135037, 797084929, 504235677, 608971199, 487810617, 610136133, 474308744, 561043892, 973564531, 981405977, 837439081, 418032850, 433382119, 701076151, 509491667, 771028976, 881893754, 822381283, 612664698, 730879069, 647810376, 356971286, 160053814, 596320941, 915994744, 932185887, 49587493, 155598257, 588561585, 63889893, 880179721, 433838762, 118366972, 851398535, 637150246, 421024674, 589546543, 566389937, 6633140, 453472938, 539074437, 368841425, 61818664, 884788174, 908159330, 185921272, 190732469, 62636819, 971682128, 124374294, 481202196, 532447590, 617672755, 699283026, 264461370, 163161795, 536418728, 628418839, 639258714, 118480522, 92393487, 723326704, 6786929, 499814287, 471468729, 540025398, 191713673, 237745402, 7991692, 46970927, 905027296, 905371604, 148745463, 43815164, 248537076, 332647971, 951178858, 995341494, 37921885, 143108352, 829733581, 421828191, 163971748, 125282777, 347257600, 322445671, 93219878, 268928691, 137877126, 688491495, 211205015, 946306250, 485584653, 391613037, 156612330, 105795440, 646890414, 130950670, 50543037, 204771351, 423915439, 797608962, 134894474, 496343966, 852625485, 23268936, 927432177, 755482955, 324184451, 333428372, 926591810, 807662764, 887403107, 545517452, 206003931, 316697958, 187706045, 939425354, 671760577, 847383851, 59137286, 765944096, 497521245, 367516537, 182365669, 905508875, 788443869, 96755286, 91525342, 80501025, 242993415, 93908430, 739969214, 674996260, 617578067, 809821829, 650663596, 484439953, 347348739, 768638889, 762090309, 719589097, 278180042, 743462557, 141647820, 501434997, 985967491, 580765927, 981872683, 204381930, 811918865, 628051570, 42179359, 137102114, 189986771, 794204313, 700471405, 316568221, 715331730, 899045531, 88015147, 609625938, 800099667, 713220323, 683633379, 375989977, 363448300, 852819871, 42419935, 141372385, 727777359, 234542857, 186757723, 168731013, 854307705, 931509374, 379142996, 323726928, 989790132, 308290010, 849169924, 481571466, 892874614, 245273713, 318020179, 674304257, 538118293, 558466547, 480923321, 626649346, 75839825, 978205247, 534201063, 619764962, 802183118, 368001961, 359154917, 938450882, 153932572, 969140709, 445882300, 336787966, 26458254, 953062561, 774838684, 625192122, 391025461, 978246587, 110078681, 804769134, 28718756, 133113959, 367393718, 782742916, 851398438, 29073407, 849924062, 917887145, 785786360, 318559820, 506989195, 224356348, 649408952, 424972615, 525723330, 513667636, 735137676, 998083528, 659217859, 408333123, 323715719, 69180730, 705443423, 653416224, 789994820, 565674993, 821686206, 429878819, 70349811, 460469361, 553789945, 489512984, 806145540, 386250386, 169880439, 747244464, 97839102, 893579038, 786762100, 990421845, 56014953, 844874722, 493382460, 37454683, 78670257, 441608721, 783765385, 986706102, 76454055, 820905164, 995695108, 332304737, 661094984, 355826979, 807888301, 585956062, 396735721, 792927421, 510675130, 51275248, 293387043, 32674467, 568317053, 997100827, 97620321, 63233533, 315382832, 671364718, 867976285, 234380574, 196830605, 230412063, 262097759, 271702042, 953723548, 367517739, 531799284, 373113809, 27894279, 15801513, 405091962, 611678010, 165862228, 821776595, 328990122, 52660598, 775270368, 409813699, 534859533, 708706750, 934563972, 82603808, 15133790, 597778323, 861694670, 709156291, 764412958, 671352217, 801822213, 469672824, 780227467, 926492848, 96664752, 629060807, 989701283, 183103103, 921657810, 998316310, 126741504, 149175403, 556405661, 576135998, 791521836, 996962060, 278406980, 306893620, 495661410, 572350485, 978170624, 766824932, 977001120, 91145224, 637378199, 356912348, 678421392, 280730531, 518573469, 812006476, 746786660, 223077681, 226039457, 449954960, 860876488, 857523748, 211948271, 638281598, 996774605, 768016347, 364888746, 89778755, 93459379, 147803200, 59498766, 90103100, 895785640, 835546595, 596507885, 469789432, 436333088, 13515465, 23149870, 257849151, 334159039, 162801240, 293369863, 579020470, 562488036, 932348118, 247750629, 89321391, 602347555, 512407001, 547459831, 117020079, 508355445, 777911474, 117837629, 244528978, 324682794, 373268979, 49854769, 489530303, 914723331, 953494865, 458840495, 300861627, 829288652, 695132910, 649633463, 111575188, 263752670, 315166736, 209458725, 278684041, 601706487, 956025358, 10727204, 467097086, 644017055, 763488785, 515266080, 246025191, 899091594, 3738487, 974739917, 118347406, 5800269, 386137711, 637717304, 908236878, 976446296, 971077351, 801337355, 753414777, 434108784, 59720306, 919054084, 582472901, 261255031, 55931310, 156987335, 745308173, 118444641, 789235761, 135061872, 581599069, 887289800, 128752306, 220194953, 759227246, 180345504, 208415813, 894274447, 294791668, 188802528, 216173502, 459494631, 54830372, 777524638, 902372978, 522621561, 249563693, 263596190, 292143581, 759920934, 860708814, 918074885, 735196943, 357682324, 301449004, 631801535, 161529368, 947829401, 500885443, 34482715, 591961159, 424459373, 607519439, 551221579, 636635697, 564963295, 345817413, 184999660, 361207779, 628336713, 879600209, 526763986, 621373276, 783516735, 951075997, 599654573, 227254972, 736746047, 44147050, 494064713, 262711274, 145013306, 577811410, 557802000, 183112717, 257719732, 892764035, 945179367, 370248083, 792824279, 47346647, 40280827, 90904695, 849453399, 771790415, 792332684, 491510568, 195136096, 943776074, 308127539, 472497984, 859630624, 737281499, 629433717, 881378836, 368874568, 903179528, 299943158, 332132978, 174373201, 520871122, 742803018, 842334851, 115737855, 617494609, 96374133, 285855153, 147402444, 822940626, 565408179, 437190215, 714670396, 196099160, 643731571, 786330918, 540788410, 530690290, 609393236, 401895709, 218575767, 555734150, 725986740, 817723691, 395012371, 761638521, 340997989, 958744273, 257870508, 993334909, 93723055, 270867521, 714445982, 270053618, 970320863, 195625385, 8762629, 724423602, 581137281, 353744754, 609347862, 192314514, 911345588, 761318548, 944955624, 483009507, 702505002, 590910864, 85491915, 184169878, 425952042, 605348992, 913175082, 12952999, 643536107, 131438677, 284040713, 953505566, 364522135, 842705601, 780121833, 756930541, 86801448, 633514902, 520770822, 465707657, 726974508, 122745830, 246267790, 910311665, 222589619, 207792722, 382383720, 761203130, 824610515, 714059231, 182877716, 899090314, 140222348, 414710949, 906099114, 532952399, 704381893, 950060422, 932170433, 437843112, 286819311, 233681117, 104144656, 240475947, 480419368, 954422521, 926642689, 912221275, 580593354, 331814545, 766617163, 993769254, 865502380, 180604774, 489933539, 424783024, 318073629, 815704791, 166909235, 190115599, 719148202, 692511164, 91922100, 248376364, 314472117, 558044155, 327072850, 201419685, 721496173, 740620316, 492247143, 408886561, 620725595, 985727458, 26311209, 757817502, 825601017, 111461838, 374533912, 992348710, 363077426, 945249365, 32836275, 566419117, 460803059, 735600974, 90478259, 560790458, 191882737, 350407949, 11804719, 135619204, 942757582, 815892470, 4537934, 66725409, 974873117, 710156323, 30015365, 542824226, 905911808, 317123249, 482563414, 60350217, 94672854, 728945030, 15412376, 373037033, 557502714, 831607417, 600707723, 874460316, 195929260, 294435024, 385980942, 900229392, 971112358, 937159887, 536216921, 757082019, 430723652, 969312622, 143423698, 6081719, 275341105, 92120724, 96795000, 935427257, 674972764, 798065588, 510562755, 83319993, 432388979, 53424438, 810311927, 675079661, 370580978, 365243105, 87732583, 2882255, 17771025, 742973988, 336610435, 127748894, 744594067, 140101965, 717267447, 414710433, 656219456, 201041005, 366131947, 824828229, 395382018, 573557049, 512768501, 945970728, 183879823, 527766009, 524070383, 467319246, 979173261, 23885322, 525320798, 395508976, 729034913, 533754066, 527912820, 374303513, 870552722, 408544893, 150994149, 348130103, 825040851, 687586118, 174072632, 313990236, 195506512, 818399079, 589998819, 836793423, 748759435, 384107578, 41136448, 346176412, 337396409, 276159194, 389110244, 584728006, 805391126, 170446223, 34294827, 369682096, 729509318, 592566414, 208080800, 361228440, 815015717, 47873658, 715633554, 529311783, 864597513, 87860861, 903871407, 312167924, 591519727, 235043341, 302380072, 391789708, 168494676, 1125174, 815827735, 650137046, 204107518, 551473510, 632027968, 353466026, 868788858, 713144948, 67511840, 823725057, 168146451, 77268905, 867156366, 415530936, 939534991, 936154520, 948180741, 88895648, 177809060, 491928369, 396964091, 546372196, 24582472, 561250221, 694596976, 447580062, 789100619, 707258400, 929826276, 606470092, 608215378, 6308158, 68569088, 888053888, 156055316, 888733310, 475399663, 171045534, 300667620, 994529895, 138018895, 890463666, 773386457, 816633221, 696370375, 143285925, 157021355, 930704158, 619143769, 436889949, 722619719, 356928571, 877005245, 431523799, 324621358, 778427551, 835352926, 449918360, 243657341, 342203357, 492959422, 927252971, 381402047, 639839692, 626847995, 284409679, 440971926, 351819459, 111091505, 778249399, 416933197, 732480196, 400298058, 649842485, 257485809, 544242353, 190674034, 397225084, 897776740, 531640999, 552442542, 481982051, 488199327, 723564743, 903706625, 554514669, 440746721, 840770824, 579550990, 372251541, 546363460, 182759234, 292920219, 168658082, 11635852, 677847836, 875591147, 946046711, 757928682, 262633201, 723803348, 957109494, 601843109, 446028009, 689313484, 53065876, 474245439, 742292792, 501705683, 640672328, 961960200, 776363489, 25868408, 247369817, 438106492, 148110044, 25406683, 434421740, 474567156, 517417407, 227836, 216571535, 696060875, 819932690, 438409551, 746612633, 714960360, 258043373, 919725359, 244736164, 144004721, 633854018, 699910831, 119285341, 180305344, 182637091, 537144892, 732604112, 824261122, 136882175, 53047690, 626957740, 512340722, 669531673, 98616653, 210022699, 211040046, 407852366, 724787426, 581357436, 279503755, 7213190, 819991786, 95057338, 771874576, 917473337, 379639651, 431340517, 306459586, 215332780, 631614278, 139797082, 960076907, 754370246, 939794091, 702083533, 404923056, 240200652, 923833375, 592841415, 819948805, 769888636, 378152077, 185106724, 989314092, 625828513, 675863223, 823031507, 268353287, 73884878, 953170080, 105633529, 741159998, 557591044, 23929579, 710033153, 613426099, 191282792, 533152297, 772016202, 625634691, 352459930, 900988511, 844431327, 575958148, 289419900, 125159341, 585345210, 781212033, 283721180, 709662586, 592516046, 259839910, 978333831, 121022906, 286340168, 550891493, 591590552, 101237116, 24268324, 10045797, 144525647, 658333731, 437278351, 27314616, 802462076, 136969380, 45885227, 862572373, 230832822, 960812929, 639468122, 903590456, 570465451, 683686441, 839882516, 595832832, 710235814, 384168315, 956496436, 141133164, 783082777, 35211483, 200633374, 366713864, 215441694, 48580313, 403181808, 386598503, 42310998, 56810066, 227683136, 234402523, 179292812, 479170291, 736932756, 110998376, 330726133, 906871892, 397970878, 204322857, 305970720, 41379210, 294628506, 565289032, 858840491, 668993350, 104598740, 794296366, 700715468, 39854651, 169178891, 503368036, 253508405, 723804855, 53877247, 618359392, 679618434, 959000129, 796676250, 616441601, 380456098, 82737501, 800931696, 774965111, 848386829, 49951585, 356232259, 636739347, 164318676, 843507507, 355422071, 840127160, 737760200, 984928607, 147000171, 383722448, 416221705, 93833318, 655644823, 728355826, 214411038, 123529275, 846141340, 522229601, 393672550, 228622325, 731490197, 320845602, 704405900, 310560228, 998252763, 407741942, 65234895, 543383712, 514928762, 330954029, 90681486, 812138819, 327564962, 517940684, 606094386, 937740654, 455703340, 117706005, 151586059, 432987679, 420695420, 457633301, 711436949, 170142163, 989614554, 206091841, 127358526, 494671184, 709167715, 518821783, 713895580, 517932413, 751629723, 14926485, 869126154, 451883048, 100194099, 595693740, 871918228, 515739778, 731979985, 659152008, 525733438, 449980730, 50814764, 298216209, 226245251, 855290571, 674061694, 552292212, 82903996, 912274521, 811961074, 385351695, 753196216, 352466203, 901336790, 432012590, 221556139, 921033563, 755684400, 970328114, 519947152, 594898594, 784739163, 916113861, 196890368, 874585276, 617083802, 136557470, 649643861, 506964787, 46494554, 584934542, 77488200, 691453480, 239519828, 567097581, 808809062, 143195141, 832596247, 158253340, 996669953, 690183733, 164033892, 865042060, 173848081, 798445170, 832175568, 575126593, 371187161, 363348582, 972273077, 720235957, 392749507, 844564348, 769089509, 54158992, 138218950, 165070803, 693164461, 669468457, 616041694, 365307097, 452360166, 638255383, 435915982, 328306648, 618910800, 438320222, 566293061, 754991206, 199151950, 797707559, 356180326, 673687925, 834897342, 582677295, 532159549, 119448085, 68534757, 29114738, 528989674, 154092751, 981364903, 692892188, 557927055, 448564024, 784320594, 325572738, 530733979, 893751785, 786660502, 887240991, 844465255, 830618084, 4133678, 336514461, 628770578, 121278207, 566279062, 707093197, 256544382, 765169177, 871635194, 134013847, 898968454, 720336127, 503288047, 649328999, 275274301, 2777535, 433077531, 683015843, 659795675, 365215316, 96818206, 563947964, 414776342, 950440447, 406354468, 43603539, 910312622, 956299967, 934984104, 14717383, 746109779, 871782930, 525852313, 7229394, 541006536, 51853530, 113144863, 568738518, 690780040, 540953882, 244161804, 855634032, 486703147, 51814560, 82044715, 207986727, 124733813, 742357651, 959696328, 370914044, 406776525, 717694801, 450656530, 888410334, 805122350, 697014077, 329782798, 684066919, 744218380, 814546367, 326148986, 195420251, 268634400, 364312180, 418921466, 684810830, 882274919, 781018305, 628920467, 505292968, 54629407, 876854453, 675111157, 469693007, 940610723, 739938313, 285394510, 242535789, 689780335, 264834821, 59743076, 212892685, 494928477, 865121847, 114047745, 254717231, 736146020, 661752033, 538350061, 372502980, 28632108, 966959836, 469731158, 433485816, 676208333, 975349879, 853529361, 316746099, 917989091, 307934617, 913047788, 362531365, 9828214, 290132343, 28582016, 224186148, 692153206, 306229690, 886303777, 955012482, 768677985, 895677810, 524921679, 380192594, 787723361, 298067355, 679081312, 469110918, 754854639, 81924332, 718435084, 767078915, 896919813, 450236868, 921995588, 390246105, 107594349, 840250913, 430040452, 245551671, 790237672, 972188732, 905410192, 283588289, 76319427, 1953829, 984690188, 819048049, 234285583, 898805323, 166827536, 332757137, 372170547, 600196656, 884261314, 757000396, 816198634, 643293044, 368797728, 633368306, 676992131, 725442443, 278664049, 307451753, 60450184, 973273397, 586303062, 530243954, 826090480, 164023723, 292089605, 313173090, 759788145, 366966130, 351128173, 993446006, 867727350, 310504024, 821484748, 958661318, 982167731, 174182212, 895826212, 367206230, 51714324, 172497868, 88526265, 107560657, 499971790, 835569259, 75379328, 680953683, 248855453, 663252792, 334756094, 471370845, 919919507, 203137975, 837591398, 605821711, 295761375, 870390476, 454047899, 86875071, 501959246, 595614486, 871257144, 805244777, 686602375, 97402119, 213617708, 17962089, 397271141, 801498154, 10088796, 864452088, 941186551, 220987649, 751093228, 180103596, 15259901, 394860076, 492181443, 779818980, 551816743, 792097912, 371675781, 118800304, 971046353, 578787355, 745283687, 898838230, 929609563, 628563182, 244525589, 612009433, 531126330, 735432436, 634427210, 30904382, 47012917, 415143815, 892900063, 727841477, 97507326, 603893349, 344392185, 765021468, 325826386, 755141794, 775295804, 524954649, 814806360, 54875433, 413900528, 242145815, 588076475, 949067839, 165105209, 382965679, 614790819, 167258856, 509033375, 144033288, 257385547, 907383813, 202420016, 828423000, 823520598, 876569297, 605380333, 79087835, 357294120, 334628033, 807523102, 565769518, 671090412, 71000886, 772062012, 535036235, 26492858, 694418796, 847204233, 761383800, 658251286, 884397048, 570100108, 752880756, 51160484, 127662325, 649289147, 191834925, 135718296, 474759814, 875561012, 138729188, 484268089, 766030120, 839443707, 589601561, 923864260, 657757261, 736170722, 23929549, 104837711, 736243232, 599807247, 279468157, 51308054, 923129622, 958712770, 504817706, 119846292, 89664579, 277358290, 362354448, 121931789, 443824432, 917282732, 744924466, 643658702, 814190511, 328840532, 666485050, 264996913, 176466371, 559255632, 233449185, 26643086, 701586001, 422484058, 949446166, 205146853, 344927748, 856310311, 741603644, 63541304, 285784266, 185708516, 151763083, 533092041, 960411189, 164387900, 142035599, 370939951, 736225597, 313181333, 18441862, 11638378, 892655906, 930712841, 836360315, 980769074, 64374548, 731066359, 31228323, 559893625, 230809421, 308917897, 604645639, 124448451, 949392808, 141783310, 351591175, 733660387, 980693741, 256134743, 918910640, 585764265, 477282286, 834303212, 632914647, 561443753, 629849802, 70104236, 635707874, 328049098, 437909819, 471459916, 761010643, 494592543, 388747507, 138615446, 558960602, 198100558, 886585961, 706134888, 200849171, 607349207, 719832002, 331626448, 829291681, 781569256, 953458818, 491000641, 842469982, 518990874, 162684443, 257859904, 623916918, 324098278, 536872015, 84024176, 720646416, 279532184, 420780377, 566142365, 515336408, 248690810, 843833991, 730656414, 61347566, 736819667, 743262351, 706607147, 645240870, 293782234, 713981832, 350674321, 43867152, 91788976, 60521529, 978587899, 408565530, 409814186, 958029339, 703428576, 501501339, 983605731, 849950009, 135022010, 742191812, 161869299, 574559176, 539217270, 916707070, 614912838, 966594606, 532483655, 990205272, 92525681, 451063482, 851857001, 89026378, 256829322, 152545709, 355442299, 423122508, 155275014, 7791950, 809646393, 601402222, 399442556, 443912113, 360839500, 425879213, 334758001, 778866261, 493430435, 557843589, 217592053, 112139442, 993512353, 560733302, 467387059, 400760436, 810582945, 637234760, 793921464, 957269548, 43643240, 370281577, 116203127, 636985677, 123688593, 946653773, 118631620, 911671814, 822988245, 160779321, 206506209, 933787411, 987354859, 441180683, 197235128, 630115926, 954937313, 142541167, 74316008, 645592813, 613118778, 80097437, 489049881, 526865403, 178436918, 279998435, 193369089, 43713251, 130108845, 573699291, 660881097, 903952780, 386140115, 943780511, 832435772, 736077324, 589294049, 348866736, 229378043, 662842259, 208250449, 249592652, 524166960, 517935951, 181437462, 266321615, 647114967, 145665211, 700199349, 128102439, 272020345, 188660775, 578868813, 475635983, 415227190, 433636699, 446890070, 822714733, 360183442, 993794886, 286369680, 757584438, 337765081, 587652394, 793501906, 799225912, 646786255, 803090175, 969713399, 390345449, 482133, 238008343, 444033664, 818287798, 188978431, 745776578, 553807645, 258760999, 118370225, 454886459, 998702080, 826135020, 634591522, 776445064, 898460379, 550066816, 716682940, 58562328, 536554566, 973304634, 744914493, 527091284, 893806021, 176029763, 244340391, 931318909, 318996332, 438145314, 890309255, 781108666, 135078703, 830021614, 593111200, 119230352, 994499987, 988228680, 430298614, 30775265, 653131574, 902368065, 202051908, 951682357, 666790868, 414004266, 820575465, 387630233, 733445403, 941329274, 990255179, 930129593, 902782929, 888496984, 732366859, 334497578, 280315454, 224705134, 518870039, 462684997, 701195466, 431276433, 354954237, 332528989, 526701758, 222039935, 212732021, 541677431, 893390045, 953929262, 924633831, 752552177, 619748582, 523090904, 592575439, 306502796, 56021950, 433915458, 660976403, 867521482, 694443500, 604988036, 81875217, 321296141, 275087944, 854011115, 700168114, 984834563, 356409692, 362492789, 634664659, 521115103, 942600023, 584087876, 834181628, 430578483, 575738974, 637671077, 469827815, 689813572, 90265612, 481492625, 85732439, 65939351, 311646556, 106689191, 827244654, 682942666, 234034547, 496114354, 315421004, 537725124, 81658901, 361132316, 73259857, 34373783, 36962648, 18311780, 48928871, 99460691, 243332212, 433216654, 635715607, 338782311, 148090685, 829871319, 616434423, 691615996, 728415765, 164752684, 109533794, 54034445, 878822487, 281563669, 102322265, 173504882, 805957446, 253081691, 154028298, 908251098, 151048198, 770558055, 394323931, 711870788, 400767929, 273529888, 364710894, 186720063, 203903383, 764083177, 951489458, 830766614, 481194371, 14621108, 526954309, 774921399, 72318616, 413726201, 842830643, 375469294, 13298591, 454712912, 764834303, 788508992, 252635712, 40810356, 602998310, 212062367, 719478248, 202406736, 84058777, 419072272, 919686461, 719472718, 942226558, 848998623, 471110957, 726226044, 585560562, 248926452, 287946280, 781111867, 439378031, 435327629, 458393081, 345388581, 764055753, 635346153, 995493057, 999318935, 166202898, 146460462, 547866916, 314008766, 575125012, 526199502, 100729003, 802542174, 227292368, 163373902, 789181259, 784936329, 582074407, 916913627, 388305321, 964550089, 879746359, 296360677, 48880930, 475063773, 806723686, 367761152, 734352311, 547827477, 93985803, 407018146, 350793919, 800042370, 875703632, 439618456, 906493131, 865901709, 181822384, 658364560, 572982154, 113833042, 917276090, 11693876, 214673957, 311293959, 619493371, 743840433, 178396345, 892215163, 65350740, 198446589, 839043754, 947404763, 705184818, 322265786, 611095208, 678771279, 762685184, 290268075, 858188852, 417274545, 666896508, 651035059, 431098723, 267975097, 700798166, 125297468, 679727043, 697366672, 671617066, 457340217, 801557146, 422118165, 586395874, 446228698, 806908570, 750017207, 693706900, 361580499, 485516320, 44724990, 533049460, 805446622, 16109379, 294797176, 450488698, 258496215, 742998251, 357327876, 488470035, 53932170, 733579744, 375616907, 494933166, 253705259, 316142911, 816123300, 863435092, 946349868, 207739213, 235122677, 345149888, 446498795, 64894442, 406750353, 204166487, 121632622, 610367127, 468610515, 938747853, 624565440, 737699201, 39908753, 342937293, 388778217, 891700802, 912726805, 338990470, 300781589, 535591469, 60283705, 400840888, 40615297, 676360606, 110419657, 283476080, 470854247, 930549360, 545573195, 676024003, 834939919, 496803786, 744460140, 334970456, 725902053, 205588448, 692409843, 715708029, 145765591, 640164725, 209049938, 892547168, 372374694, 782087313, 459908562, 927800101, 519926632, 449367535, 475777040, 814154568, 159565715, 93717517, 398196853, 648027168, 230889678, 555019749, 614878567, 24179258, 530307841, 401940222, 40096179, 58544007, 175241394, 508696777, 733975223, 739506865, 63101122, 660868076, 815425855, 553439443, 741662991, 49367310, 973353871, 736294270, 573625999, 143745089, 167239276, 299383102, 691299085, 308585450, 113098141, 342485849, 610543863, 386861278, 768309757, 367149525, 431876488, 155199268, 453006603, 839647272, 637890308, 916920232, 524915412, 893376600, 625749130, 987669124, 877942382, 708176307, 163331506, 844411659, 636495281, 381084681, 836225143, 729974134, 268402178, 622649171, 395847654, 801204711, 613592121, 38963756, 711407077, 635772023, 112423862, 608481177, 227299789, 264324762, 499526228, 593920388, 552608969, 250193284, 189675826, 851581719, 305132085, 364595305, 385995094, 541906033, 720286621, 846265824, 660604601, 563943647, 142319697, 489304840, 336206377, 875571355, 166225042, 863450759, 321918575, 739441737, 385359384, 438148633, 540649135, 949890102, 505526412, 220230922, 563877759, 592002549, 806625451, 181168378, 459373761, 217738991, 65103285, 934432451, 657638050, 438468108, 582302514, 567301915, 234851119, 377904102, 303827571, 4439966, 665885741, 393264566, 760126680, 993792681, 202067685, 220013635, 260253126, 17126522, 599289121, 286522304, 459392316, 392303278, 466967180, 168397669, 861944715, 586002736, 963080404, 165018139, 77427952, 399668067, 51565447, 831601194, 19374143, 221980898, 365447168, 953070310, 943440277, 39255069, 700518809, 565266721, 588521731, 392928183, 545733900, 37067529, 278300397, 365947218, 6414400, 17322264, 710992824, 938712028, 672659040, 390046505, 630681429, 855799997, 492270589, 710250378, 358252438, 902747750, 963508836, 184212592, 208187661, 622493648, 876961865, 190279506, 444931092, 3569175, 426657486, 521857654, 553241548, 912453445, 986283270, 411663500, 308519804, 714484290, 291860157, 902550831, 180218607, 936211190, 172163521, 125194202, 691828937, 825638546, 187602245, 885840895, 683826283, 928031406, 409512059, 779798711, 887948398, 317401364, 900813319, 100453837, 692534248, 220363263, 503959144, 650049882, 467929218, 17090900, 687598231, 282930285, 327684814, 718787869, 283522129, 508547076, 666664349, 483427660, 675148315, 559771911, 950674160, 305304092, 248285395, 20846614, 277863253, 80540330, 113553152, 479105288, 164243247, 711528688, 149515993, 61327079, 851292848, 613958905, 11822622, 279781806, 4678630, 542162722, 203409494, 439859533, 152669029, 536542770, 497359022, 340902631, 933938399, 931731480, 484999951, 177895770, 358157400, 952745828, 503469208, 299227383, 641598932, 698755356, 312496985, 926820703, 24415843, 522048737, 185409199, 754573385, 801093688, 311039048, 275638742, 734159497, 447299729, 467890320, 924539263, 585246723, 364037368, 587482678, 145386396, 578291396, 647802789, 718212635, 491798369, 699884659, 223265082, 114290775, 808657812, 914366379, 285083303, 633830080, 391323301, 317844762, 137910128, 7429141, 157169514, 553396773, 926951609, 407660907, 229914916, 424037404, 474239163, 135894910, 378560755, 431621856, 244496301, 408886082, 945790534, 143994822, 773243772, 784665997, 362944750, 98682425, 478578304, 136772375, 505509732, 361937893, 427394957, 563260755, 785897782, 394268122, 978402286, 872602058, 418918655, 620525200, 521745199, 273641193, 458654650, 153242581, 175385535, 737491509, 962774637, 64578567, 21809593, 280397988, 413964542, 251878004, 615720468, 358993063, 284589062, 270427074, 834280022, 1667835, 188729218, 606363219, 939840313, 151686391, 581105088, 807374800, 697366784, 834634790, 359724875, 20786639, 678237904, 650350580, 573539131, 757913914, 365119059, 165928424, 874006212, 798655700, 541045081, 337959908, 488762174, 591086912, 617240359, 899783908, 491605222, 772119427, 359591326, 350002738, 257632258, 966417521, 206887571, 696443034, 111278204, 166917297, 73854553, 172680019, 665494600, 632976158, 522167320, 793650033, 742275607, 870886325, 397284944, 723803107, 469315497, 872750341, 582366362, 241910306, 353221975, 463260500, 881109507, 12700500, 913640, 628635474, 305054978, 934325647, 562135430, 650292256, 682118248, 252113498, 929083330, 426136197, 729623682, 459776616, 642927591, 551617976, 213600611, 458374999, 366640695, 320649836, 836431204, 356274160, 439016711, 271513484, 57669468, 761676005, 46953832, 264371353, 517646572, 831585319, 282734509, 345134425, 847115765, 429363979, 927528575, 441424050, 162982009, 582053405, 337212788, 705211157, 603568638, 97459067, 953378280, 25312497, 734596284, 688505591, 851324149, 476896744, 990513270, 914231009, 356709206, 9278054, 408302009, 116508763, 371947152, 327254934, 82241609, 815473704, 143596533, 902266859, 839183299, 686883965, 977878133, 63228038, 95837940, 542544385, 202025370, 854343637, 825793945, 937278935, 208290561, 26974805, 677822455, 463277909, 116781879, 989468501, 632889397, 739206824, 664915879, 149955813, 164494161, 747275848, 936841443, 603515041, 536066120, 10421781, 167083599, 35412506, 33242408, 929066787, 35660746, 825964745, 607902800, 395003602, 8139386, 935735775, 28152108, 202403018, 769008167, 341234395, 577562075, 431018016, 99671317, 595015312, 251888544, 582933340, 79424393, 8788042, 745787096, 280692533, 473429334, 175912819, 513350572, 137878443, 798448076, 594792063, 846429834, 697773027, 818778652, 239656537, 795844325, 69307893, 212637005, 75173913, 196026865, 154086791, 426260476, 380781993, 367348334, 386244551, 979019491, 121723269, 289179090, 981481979, 838403266, 317804760, 978431305, 950888140, 997845673, 331729542, 971601254, 926816436, 782626720, 361075449, 237442275, 879591311, 13356060, 869446643, 334157967, 883555050, 851515175, 15079629, 736782271, 548480422, 249371393, 208874941, 599798492, 901145587, 52973619, 492114761, 385774916, 217316340, 696740397, 276889089, 152616198, 877758806, 549934384, 188455903, 642080798, 219991040, 715777999, 324484559, 807892431, 781860050, 272566717, 813749847, 117540227, 837760263, 646903740, 857892920, 829504824, 589670208, 368781825, 615757027, 949588867, 360461699, 72031325, 175071235, 393354655, 349895705, 267374205, 242204920, 711657173, 167596278, 534048617, 527841972, 539278104, 815988177, 881077964, 183174397, 314990768, 203521435, 75687153, 137483867, 539371622, 689403412, 341515902, 225654106, 395790815, 716285311, 388020625, 136865294, 794529970, 913532407, 432384515, 323235970, 117410198, 607063512, 111306202, 948501775, 253343278, 105270065, 329977329, 946314966, 377140068, 176906451, 454563089, 152453444, 525209700, 979993293, 697795660, 619981965, 72063258, 85691948, 267533130, 741186707, 622860633, 722619944, 293332405, 848161794, 828693988, 106851003, 915102470, 149375872, 449510186, 555687046, 906783505, 267980869, 14205151, 207369613, 225547270, 270254217, 974492995, 877655412, 523758970, 118926846, 383875423, 496333812, 902617734, 754108699, 512053625, 2035823, 358904331, 178407189, 129415016, 342355721, 738169600, 777916963, 395036161, 274616174, 839485442, 407126529, 906159071, 882883299, 828611228, 645665906, 458216734, 195112314, 175015070, 116139245, 183303699, 480343661, 804870296, 520428672, 559753721, 416246747, 359414214, 260247578, 717121252, 226905555, 980112034, 864360083, 584812408, 123589901, 893186020, 281301078, 299846521, 193467716, 33177185, 408979455, 922251965, 559373432, 113287777, 80633071, 504990024, 847140235, 607989342, 181157719, 26048543, 164041767, 380902168, 138201298, 557549945, 223731087, 269258919, 816638917, 885401511, 754565368, 436659607, 291066919, 145741757, 961277049, 380354473, 308183656, 342541957, 910061103, 418486209, 980576415, 35525516, 800014245, 161965776, 86078841, 893298894, 994979910, 157609178, 151394215, 548461989, 978690411, 38012077, 238930263, 511194983, 197747026, 232042700, 178802259, 916058108, 41556938, 721360653, 839961508, 252084545, 760390706, 758003621, 886766524, 828985735, 830062769, 656040165, 868860344, 51010246, 437516428, 517487845, 388208155, 595427375, 867967596, 204162909, 102896991, 525765314, 50219312, 420449105, 693356091, 473523505, 601239628, 353170848, 388864723, 999649892, 768389739, 533299773, 917155856, 174288340, 584527240, 747917015, 73150528, 627543555, 203775628, 209746035, 244612781, 876234706, 601531873, 999348736, 904760577, 895774028, 93357328, 609600389, 624753981, 478492283, 898338575, 114527986, 358948905, 893734356, 332479109, 461385452, 716952785, 395179355, 496664423, 794767583, 237628512, 640585324, 563471572, 437190996, 405506052, 895330092, 356389936, 583977718, 810304098, 746667083, 122459232, 243236230, 553774828, 959601913, 388345857, 929498248, 500463763, 378487467, 793079972, 942187788, 62933738, 958026540, 887678434, 636779266, 260494035, 804844177, 423036465, 662784359, 730793990, 38091930, 10535793, 615670302, 705970924, 783756237, 162614373, 94517383, 96023814, 214187766, 558384162, 733949455, 650184246, 459975260, 590075774, 884394385, 445727756, 148469720, 858559774, 98360516, 215252418, 573310952, 117066296, 969111462, 689609529, 161852448, 684784608, 906920449, 833658598, 536096596, 522244270, 459035476, 321299872, 205064247, 574647572, 119849120, 855899529, 669794822, 500864876, 612614967, 564615427, 619029242, 537581145, 450183856, 576549130, 952084169, 761362544, 174971814, 653749380, 355312683, 629732380, 118581486, 934854342, 669451054, 636154079, 946354387, 677968894, 577377799, 977654735, 926139226, 458957062, 462480882, 508306527, 301656194, 938212680, 596922786, 319475923, 168680404, 116673983, 833563711, 91963659, 432878428, 55308345, 729964953, 2605984, 36813072, 184224502, 368815443, 953443104, 146224318, 633089317, 929984544, 435541419, 191571073, 965089204, 964785890, 786750942, 788423018, 812012263, 446900207, 257591240, 147318376, 331457961, 129142666, 86903879, 542965331, 809006415, 750561917, 937919122, 700857591, 112244447, 140620668, 965212633, 66525560, 93023960, 538819316, 759995479, 143789329, 619055855, 809659547, 780591279, 440557650, 392792125, 936962496, 251662839, 765371250, 106631101, 733159304, 577683461, 814150046, 803319139, 223616288, 722765945, 986910645, 578947037, 567622869, 573934147, 298987415, 101799664, 202990837, 917549458, 254108356, 531312368, 824046762, 63994605, 222811644, 224641046, 653302890, 406824973, 445409041, 44036677, 798184805, 933786077, 669345801, 64449623, 93090855, 374164052, 986058386, 801223459, 895945248, 557702942, 918899187, 716273874, 503933920, 423160618, 464210086, 626190792, 538518171, 372870728, 146287741, 559899866, 251265478, 501736103, 428683569, 595248634, 531511572, 256041942, 750833885, 630519969, 475362729, 436898595, 796196298, 310802643, 703742491, 409926550, 2939558, 739065256, 277898786, 995480221, 655240668, 239856798, 659132153, 921705584, 463024316, 666058234, 462608969, 154775044, 785339768, 397038090, 22370043, 754575246, 933322081, 844110615, 913225990, 641707583, 34172023, 641666441, 41836341, 203552616, 277678799, 340912851, 279448145, 120808465, 919367532, 421807628, 459859159, 625083149, 359155808, 611385575, 458460908, 290078479, 527629716, 453086809, 915763266, 182926633, 289844778, 947386328, 807841971, 420093857, 646641937, 574831540, 570964383, 726152207, 690277460, 933465661, 626541763, 163765759, 438001581, 776569882, 909213947, 366143732, 669010183, 482753996, 879426765, 833536115, 890731412, 554900746, 204194929, 576795434, 440185543, 35744270, 760436040, 61562440, 547865427, 856423185, 215871414, 143543295, 631406986, 971194924, 687732015, 311390818, 947322125, 302837983, 364371797, 142280683, 650806693, 908934057, 121100915, 459352816, 382665644, 345388990, 786277373, 79776065, 217745070, 679864474, 473833777, 280683396, 426421582, 875587930, 952668025, 403809387, 188666232, 741381130, 585908261, 784460117, 150658051, 67525293, 797558573, 713845071, 5783057, 582058160, 281381108, 375770262, 381605541, 718805733, 959058704, 529710781, 758556495, 623147910, 265466475, 457372028, 815087375, 873375635, 389490230, 784527077, 351132088, 208493765, 603226446, 994485567, 187715850, 909635247, 481381078, 957321954, 651767830, 857500599, 191566654, 698065404, 83996915, 507463213, 386863835, 530807300, 428361531, 45557014, 851959510, 53911109, 947791015, 694574986, 589439344, 614333407, 496288070, 175482342, 523348990, 415301653, 266407009, 933363089, 579759363, 918364522, 557410228, 78567411, 38538050, 154327643, 469533142, 753589414, 777426760, 638826193, 825649620, 89907962, 728404907, 181665517, 641384427, 61170406, 755530815, 879667761, 441834414, 387070740, 443710331, 274651599, 628218557, 240929846, 195153231, 226397848, 326249576, 23008334, 983828753, 176143110, 682200570, 322975464, 563615797, 413647125, 347199757, 90527143, 609160732, 30202076, 729926884, 19018197, 443847009, 2056226, 732386855, 96255813, 465133430, 289170979, 903974771, 292253001, 192679053, 243360013, 134537096, 99766602, 807397287, 643739721, 981318126, 59186993, 693108285, 755467678, 261344437, 66051387, 20307871, 280451882, 587806027, 678313826, 821138298, 358931056, 341664076, 903050105, 369021547, 241913813, 4118166, 721260297, 91205646, 288345344, 660570684, 235891322, 543579682, 4574591, 968484657, 195947551, 429876265, 534859023, 929201296, 769585755, 294844596, 736368465, 769200996, 360024085, 932716010, 925847482, 25642136, 13680764, 65468278, 746767261, 433989579, 93961373, 252184113, 874095468, 86022185, 94250938, 929508844, 95203134, 174494517, 742674704, 884210820, 655534128, 739127169, 355958031, 765742297, 64566443, 131905826, 468070283, 297766841, 11954134, 247010347, 425273250, 595699621, 591653440, 634060401, 284193151, 192354634, 103895310, 660768230, 294360765, 217806469, 357771498, 801051808, 506714138, 319280032, 733166419, 909887961, 520667370, 766649218, 719950933, 280315603, 541141095, 579706092, 243414616, 748929330, 986590903, 409008601, 777891076, 331831488, 81154545, 707570872, 418533992, 534758843, 632807502, 306224007, 414611410, 905622216, 464951972, 186778778, 970150597, 909608250, 132105028, 907088217, 41639710, 192516857, 774051423, 747410011, 323761630, 748450652, 394721393, 760897688, 468511836, 507122275, 918754848, 703865949, 800175763, 435172395, 341290431, 101342456, 748245768, 357628033, 523720346, 987544969, 492241194, 41414152, 273741371, 483252554, 430016103, 365671135, 301722763, 559474692, 533429488, 875663781, 479611562, 450974072, 759225551, 468403998, 6521812, 372092875, 74709664, 868526845, 810076909, 121856922, 970252187, 282771224, 837836228, 439056374, 3880811, 641929188, 946505221, 507524099, 953597122, 993130855, 783045821, 761171969, 997613430, 867878176, 715554635, 573007551, 314869855, 467822883, 100323211, 775324382, 680008566, 189121313, 278776511, 853043797, 39462859, 136787748, 848028963, 306033020, 483415803, 170959775, 162738640, 956117496, 418002450, 59954806, 608633065, 347196192, 461226706, 344003735, 361189796, 876234813, 206212144, 117233385, 669359564, 372417294, 527054354, 650990463, 723960024, 116596886, 113452214, 286200780, 387886767, 59880710, 485440317, 322912340, 47325852, 247355627, 486828455, 84361535, 559240310, 967058751, 673618465, 679078576, 415418839, 966536252, 53992511, 697958506, 198880723, 899704260, 357616346, 626958112, 990420973, 876701418, 461981116, 571630774, 973765404, 299842216, 104127362, 730475716, 273642205, 817068488, 899314826, 594981751, 485684898, 417695333, 910543612, 747881162, 470167621, 392260127, 747283493, 403320921, 134481423, 969928513, 899264987, 94038928, 417442012, 408031966, 465112251, 160386835, 831376807, 293276751, 988700242, 466725027, 873489729, 579072801, 149946516, 163724037, 456322672, 329780659, 474589450, 574239082, 451558337, 439666456, 449107179, 391268438, 15378107, 59142136, 624500440, 88912597, 57590, 2340880, 830039812, 213489929, 883776600, 990317341, 657585505, 130820688, 42389883, 984618569, 739889356, 444884441, 180741677, 272794426, 870903008, 141024456, 403927404, 889440593, 657504583, 315968923, 480626847, 244230629, 723253906, 67824344, 903492054, 412952539, 976734405, 851039826, 294468295, 524175470, 874228948, 570856082, 5821163, 532220796, 334279357, 418823228, 638453078, 818115823, 843558384, 509738033, 276231089, 873240306, 476754165, 717542958, 29039022, 804651164, 189919496, 399697451, 449195615, 707243334, 297108551, 464799847, 584793814, 189382022, 282144925, 375447073, 913848802, 276292013, 365907168, 59249348, 709490243, 319464495, 568655550, 866950408, 394762430, 384605490, 440322028, 310100292, 129256031, 681280869, 374519038, 176416773, 394252460, 104418032, 183110314, 705457547, 46279071, 403432343, 945172208, 153183017, 471076577, 113468032, 998384383, 199300068, 346138841, 501744520, 579170544, 183170513, 741636466, 570974030, 646846037, 965563672, 390475218, 603332696, 959642349, 388640972, 673501404, 252424987, 774886317, 436508230, 547198581, 630663558, 539390002, 276548662, 764678873, 330297075, 810869722, 667036876, 196016345, 673604701, 289892817, 822443132, 462926107, 563690342, 924927781, 858917043, 315705387, 297277044, 140826617, 958633323, 873065496, 479163047, 309372141, 174329270, 179556506, 231837172, 818251832, 489211123, 164483826, 957362079, 209021248, 824885370, 309830268, 930574471, 774930879, 816051074, 619730884, 756895414, 429154887, 168819168, 930154263, 329288330, 451634211, 670730925, 244266726, 39960795, 93410513, 270744714, 116418141, 911836100, 318968261, 773421685, 885685703, 822754732, 942088470, 15316835, 641847187, 947355448, 583831963, 917387773, 199224403, 708010195, 269890790, 257980063, 489849725, 781834370, 959402111, 64261592, 539156716, 329591700, 765948862, 454387921, 49790256, 929793378, 821378100, 275429269, 260458794, 415215944, 518300587, 812501519, 983886064, 415519639, 618553012, 985300973, 433575857, 846449539, 504279677, 71999581, 79497984, 520384089, 810983637, 661982946, 788828540, 922632176, 955510998, 202530703, 842129136, 95439172, 553355634, 678548001, 353074885, 606288037, 154522689, 960733149, 617499942, 220251619, 978914035, 452971147, 609829831, 460420845, 440256941, 153268048, 995006238, 147067928, 296685253, 20740237, 819522869, 896118665, 499135106, 580422680, 124250240, 882392918, 819093948, 639835435, 967130626, 809686511, 278510763, 307959549, 404042970, 926480407, 115070218, 965952901, 167261692, 631299240, 316834325, 754861831, 390785645, 650450786, 817132080, 839056643, 508793754, 630449502, 648130500, 985481079, 510872585, 429283011, 559644204, 59325590, 961959683, 927882081, 167630174, 513882143, 405903801, 179986241, 67578135, 520523988, 854815020, 868238308, 273380198, 456034186, 132824281, 321421291, 926821681, 315892962, 471235178, 130910484, 512058539, 706739395, 303322589, 572964301, 346429827, 31972094, 227825472, 747130221, 944334549, 213920275, 119195210, 401493048, 976893884, 354325145, 528111544, 113457236, 344380490, 586885117, 620426662, 825752344, 621733659, 465147091, 682127714, 996073062, 992509729, 700111099, 329837670, 665409931, 261877882, 103229924, 157525505, 321142571, 1743443, 533346538, 58554077, 841224345, 942660261, 669434041, 154228126, 719920908, 117811143, 160842164, 770717782, 193741542, 298331200, 5579052, 712675451, 498066554, 238732947, 57659856, 793517913, 440983281, 576751893, 88785877, 361876236, 960919284, 990460245, 570087442, 478313038, 690935170, 257858751, 730031327, 789298602, 939264204, 491415498, 732031332, 210132738, 943206713, 815422970, 363716170, 804017683, 276182729, 351670559, 36852020, 137040869, 780781135, 66942945, 623255666, 444400708, 624336273, 645483063, 268396691, 733790611, 332296076, 698721063, 519437232, 5578138, 923786280, 988683897, 528623377, 392667737, 480580819, 561051567, 591522730, 594350572, 683609751, 858585056, 309802206, 972675842, 804401192, 912702297, 92323968, 735921798, 287314381, 413991125, 271148010, 214065982, 295801342, 907634509, 161677694, 469629957, 988573788, 251733456, 515938883, 46158897, 613013026, 19991775, 471480999, 959516357, 12111, 225772357, 851809410, 97348052, 372358337, 638481331, 574812523, 528603435, 674848173, 550366392, 549002209, 713998133, 860248604, 53068171, 367279525, 36243698, 370353233, 251879896, 313053532, 116759955, 336555716, 451806096, 92976171, 814334672, 459194315, 418480317, 2131079, 538208400, 148045934, 165419803, 478321886, 157715472, 475938005, 734396643, 383099243, 803794476, 127039413, 244968686, 287375482, 372431733, 350638209, 223404498, 454382832, 225923070, 545458048, 259007639, 581097461, 920681557, 839089373, 637715700, 56887642, 151919898, 160297258, 140717005, 624736957, 107991796, 526462803, 90298517, 503585128, 690091124, 754231770, 523231832, 206649172, 564941056, 506277661, 768850522, 185978425, 291758351, 664210693, 866287836, 577045096, 359074327, 834468489, 654184910, 254021444, 368287059, 536585521, 79392151, 560980748, 591127714, 747232714, 899506883, 295810572, 136476996, 710190841, 759314643, 506371530, 105674655, 89895451, 88596497, 605963921, 141763295, 777127387, 347771362, 604495391, 17465870, 509723834, 5693519, 478914628, 443486006, 184035843, 371645964, 938734477, 892828644, 55083847, 340526933, 260141635, 869052712, 544560343, 794270526, 505045524, 349638085, 742551321, 777940600, 309261621, 143974323, 14373902, 903453412, 277738457, 320310127, 756238714, 92238385, 239595309, 688389827, 910692012, 437548203, 91223882, 602676471, 68896122, 935451613, 605097871, 709906823, 8321578, 974107231, 23652705, 716558614, 410268443, 461311885, 562384223, 800629240, 492177551, 602798632, 187588399, 834334345, 256200822, 917948006, 992183959, 527989425, 886907299, 966342503, 294987702, 240581881, 443949525, 467191684, 608294252, 768283158, 831068397, 685613679, 933531715, 720271755, 553897054, 284835506, 785178967, 289254792, 678025564, 632334391, 611788889, 255248179, 455737774, 619829544, 920853809, 397226154, 935781592, 500897629, 499761898, 184712953, 772820539, 507777632, 272886358, 852826592, 347229688, 527092521, 537101187, 409475529, 77106305, 855371923, 803888788, 841044884, 970533417, 586044321, 60412976, 688624205, 440254046, 36432561, 212192315, 940279027, 980885613, 630545483, 243159977, 203296086, 450301836, 788716721, 202307591, 144920305, 928926012, 174437871, 843063202, 771880424, 659551233, 392639384, 446261477, 20493139, 610999415, 603521091, 957367991, 323107397, 286689544, 106277618, 900029434, 775305681, 201593255, 860773326, 987600182, 925787219, 240420351, 751609327, 184324660, 542874372, 2107969, 916967980, 997958522, 789983692, 393446902, 904608295, 213211698, 173356742, 253391332, 352280739, 426436037, 53540533, 442547789, 525703474, 756125819, 63194928, 698391269, 108559310, 435652345, 355001426, 41273816, 791101485, 838694713, 712825376, 465718444, 360808499, 397671621, 654762415, 788066955, 658928058, 346736486, 2779510, 254767325, 803382844, 831000873, 57266968, 646661502, 592554263, 990947115, 642653270, 861382669, 216559223, 171671015, 385957835, 930412047, 560391417, 615409768, 991659808, 447841529, 896091106, 935477310, 730129776, 798194374, 162804566, 143395916, 64296990, 830544464, 407197530, 231886328, 937275299, 131934288, 484787003, 140151847, 166614690, 848671508, 492655558, 789288758, 627650265, 746819352, 355256944, 930536531, 745097520, 767435875, 364373877, 492538616, 809805408, 45183561, 549169700, 269466721, 986947203, 489970123, 197356464, 499051016, 24674670, 860055084, 457118438, 170347301, 775013168, 14978819, 635327186, 633191418, 514415140, 858457149, 192913692, 221618459, 197021616, 348116174, 712468926, 532760326, 729504768, 470712881, 645775366, 443508461, 37749468, 240602966, 286736908, 313051775, 165655704, 896265919, 541013708, 740026149, 671740069, 92033089, 51157398, 278508852, 911370483, 986017875, 812473377, 533151638, 558717881, 256547534, 889324730, 888860110, 823691387, 209782655, 795425077, 15201544, 234403079, 928612033, 150462803, 949788183, 213020807, 251043106, 812056186, 408225739, 199228907, 814285001, 165572729, 423825323, 795118983, 60775129, 144536382, 496201265, 785460398, 159429688, 253236979, 810771709, 692859021, 620169388, 136780808, 992975721, 357401124, 135523945, 161523422, 943363557, 164411852, 609858429, 322590766, 322572606, 575557640, 758153868, 950650399, 778946887, 519024304, 804098556, 105308645, 66326842, 865634145, 276478087, 332178038, 839043654, 776815127, 531803683, 30197552, 4733341, 206084039, 84349421, 671419341, 627632440, 40596399, 205402973, 64220425, 605460451, 773111367, 665062111, 803313606, 675761434, 462476666, 668677128, 838817280, 310064952, 692322475, 832823055, 524446833, 829964803, 439665594, 253335656, 91258666, 637443303, 838241953, 581252926, 312230397, 342685364, 599886241, 818299269, 958476892, 839092154, 967377194, 54481904, 59749337, 259102742, 202374100, 291749931, 493971424, 421998158, 542946128, 894317831, 627886609, 976457997, 561978598, 126358261, 977602371, 773512722, 113935890, 584931163, 603598373, 874831102, 433222750, 565724217, 805526294, 798654991, 546067626, 50198304, 294890454, 99739515, 23864734, 496641198, 805630955, 634110784, 542440456, 101633115, 215339812, 930870018, 151579248, 756148646, 473072316, 930999322, 660107471, 140048095, 173013841, 976270308, 573676436, 727042818, 502377578, 680396608, 290918301, 715683520, 777117845, 680044050, 382672006, 934731983, 787692165, 514305736, 590666812, 811938833, 673814370, 212531288, 855947946, 400892863, 860982269, 560539452, 610558083, 689706994, 11065968, 34850853, 189524688, 608466157, 705005313, 846985145, 21085611, 167857162, 401535941, 169656148, 932474146, 247339048, 282978868, 888953932, 997117021, 435573028, 722729797, 138340050, 45101487, 305876689, 530544258, 901030171, 155760493, 140813652, 105610367, 441283158, 631309110, 100762530, 83922353, 519516970, 666137615, 663935246, 814974216, 89493439, 880894528, 703716872, 899271297, 166055648, 427353845, 182967947, 933418977, 384028543, 899907006, 929161346, 301784906, 156398670, 922564900, 693022448, 331928188, 538764568, 184561541, 125676952, 371646546, 291848249, 600512202, 626232135, 691494899, 819640652, 76609009, 639541196, 315638309, 242411879, 297262863, 165369718, 946861913, 448305936, 844971381, 863290159, 691059603, 523892430, 879593614, 635390790, 761196792, 189399583, 804448137, 884004874, 781272706, 734518978, 697195676, 287363955, 786258053, 891378710, 104561761, 840960650, 629962440, 915382511, 571421284, 298263132, 132930682, 843677520, 881117954, 736290223, 862516117, 710804977, 392314680, 906929975, 539068678, 174499499, 266073516, 181317361, 365255597, 560037828, 409207301, 477606739, 993796749, 241611882, 856364640, 735199239, 745448574, 184870696, 983137623, 98172885, 361261195, 961632263, 828261049, 866948636, 744670093, 279800186, 546742524, 884576854, 877934671, 441343549, 927120446, 256470090, 51630490, 538010666, 550799515, 534733562, 442359443, 33046028, 706948022, 160351982, 235110166, 507006328, 857823330, 909637018, 688584158, 156506694, 720108500, 2905273, 821709794, 802591565, 412109676, 618512619, 221268775, 861656990, 487850392, 600476115, 394798851, 57829760, 220126539, 841403840, 751733045, 518761692, 255705758, 959187512, 518555005, 500739274, 621912591, 576481533, 882931145, 121981446, 184691600, 314801935, 56239966, 278843237, 686721031, 596754421, 392276229, 659442104, 342488874, 751629021, 912809296, 362853029, 765139193, 29093597, 694445085, 45292008, 741541926, 923335886, 470128010, 920324460, 833652387, 355929619, 513549651, 454639317, 105897314, 307625082, 607778694, 403398953, 278140806, 91477460, 92940549, 385760883, 991995248, 673195982, 302151275, 281942777, 325512511, 175461141, 798047189, 360012603, 418516211, 827046756, 202043946, 884742615, 442268665, 722841600, 806825177, 451001580, 88852632, 997132917, 429814447, 521546930, 107093219, 695654874, 916167262, 943333559, 454839021, 6389231, 533042776, 890420340, 136518384, 223863073, 58481928, 813749198, 572714968, 852432903, 598435021, 800723803, 483873769, 531096436, 926324258, 285885525, 424399341, 99874681, 322043683, 703254314, 800226998, 197364278, 980638105, 308796195, 871476504, 284680599, 162499377, 109118677, 345823379, 184353920, 38657888, 960419656, 734667033, 155477357, 394077271, 236519199, 191710181, 504133000, 604757055, 275052993, 188303908, 79219365, 716579612, 902195544, 127857085, 717361919, 857431657, 793250847, 445515618, 83823565, 170954940, 60856912, 633483727, 829942123, 620544538, 965720544, 459481009, 428601061, 897424519, 382330885, 715790086, 23145506, 547911734, 111408861, 262036290, 663785936, 58886610, 975642913, 853974938, 585106612, 787812198, 224964435, 633164705, 510665298, 542577494, 681562487, 426310018, 230668096, 359911234, 912593284, 371598482, 709019792, 710630445, 695762257, 322052536, 791747461, 904864119, 606421313, 969191161, 504092236, 603055605, 165504188, 936565503, 418483584, 276025732, 409801302, 323511606, 508012180, 384873201, 214413291, 905446837, 499987674, 185347954, 550556085, 953996339, 495259823, 805265214, 787505333, 411989403, 710915668, 683889040, 772431338, 59121259, 107304994, 776090448, 201635028, 783952968, 750389114, 107498129, 101490356, 221011666, 262831289, 564997379, 579225251, 719146020, 242960704, 693703497, 547512679, 431435745, 393720258, 634429038, 221213062, 722791940, 684503525, 309996299, 572794510, 795689484, 39292580, 77954271, 439495135, 287996790, 430422067, 598188778, 483931014, 960567333, 24807147, 560626188, 471944087, 534052865, 350315260, 961905863, 284431129, 390315874, 30834808, 587307193, 158852650, 568970797, 251657107, 298557619, 311064204, 675732302, 904735663, 271436425, 872951302, 136218271, 22297482, 452724522, 91627036, 149020233, 459412537, 131007150, 352914759, 611713639, 681902323, 961290185, 464160783, 838090961, 62746879, 751129301, 865788812, 211285349, 403723623, 598943083, 552657833, 263730609, 556429072, 397025352, 676852120, 517492550, 82575906, 384977981, 696654919, 218817398, 580505358, 812138866, 348241788, 841773185, 99132567, 506745272, 86957992, 425357199, 900541830, 406492737, 459354069, 849519310, 656058151, 900646995, 494234216, 538486840, 997748649, 268469623, 983002776, 350341267, 839125001, 89411448, 729149366, 366815759, 78552347, 62455975, 922162137, 253841883, 615886150, 243006011, 559644279, 442882766, 276302744, 90880780, 257532147, 357322419, 776104634, 978632357, 728524339, 532817734, 807928501, 468080200, 442262852, 362507575, 610040090, 344684470, 278300201, 170005533, 565100686, 706546763, 560926000, 882779424, 817519543, 417311799, 569154893, 343393094, 939548781, 380310475, 878640521, 146336975, 477938234, 605705346, 28859660, 212352118, 855630884, 716040422, 732579072, 998314636, 848697746, 479344444, 838622719, 891754795, 740572601, 348655665, 498757165, 341505748, 224267940, 356479947, 623798082, 865480073, 212178921, 175503891, 789042513, 381537538, 363067679, 716949794, 68005454, 194862590, 461449233, 664778179, 449453637, 56476486, 85808649, 815776673, 247062801, 528829087, 848436456, 67384527, 611583161, 624724926, 277545490, 953039539, 492506686, 494492145, 8860328, 290502236, 435238358, 534685687, 945850741, 371318539, 937878947, 950272166, 10609133, 777636288, 79729177, 122837595, 899798452, 332423954, 126384097, 597920660, 574506916, 335509470, 555002315, 114318138, 983244624, 247722753, 466409213, 223319027, 867881428, 670256192, 85421518, 227014684, 25685829, 377193211, 852205601, 964004090, 113382815, 974754018, 723017683, 60062848, 119102364, 145331372, 59447064, 964351485, 999277401, 52540125, 91880450, 759767624, 220506016, 815045299, 444998604, 710907196, 393033423, 555093270, 152216668, 714807924, 826179451, 319226063, 368728976, 622377682, 556607721, 676820315, 531176188, 720077552, 416457459, 279803298, 84548877, 985898378, 497163114, 431885598, 410048981, 826661877, 671235678, 452211005, 356557567, 398256876, 452358517, 529454370, 376259113, 876513783, 399406680, 947028339, 560585614, 231675864, 787996051, 814859008, 112770908, 978115001, 692864949, 701312069, 337815152, 18000932, 798558286, 392578603, 906499101, 217852164, 909301913, 726200507, 907707161, 868281328, 842596474, 222409242, 343394322, 900346546, 313594322, 386667313, 830978190, 287409938, 3098673, 548312055, 886586086, 710457184, 518829989, 340902933, 99571812, 353475286, 756230038, 143407665, 842188681, 472722426, 735167436, 105900646, 225473947, 184836273, 231567463, 143549106, 528843879, 220779456, 561082079, 14486797, 195496757, 787955775, 349857789, 497769649, 221109097, 153033889, 765900640, 800795899, 720334380, 593086441, 299123651, 264264733, 30028798, 25932878, 56542218, 327188354, 988533890, 268347021, 353301456, 140687090, 70802945, 600895709, 612660996, 934373948, 563192265, 973135364, 903836959, 841752471, 424411686, 514152049, 555560763, 923200844, 717654440, 889239643, 597268391, 941570369, 884908498, 493516525, 651696155, 931881847, 88825327, 924534843, 954712480, 782383869, 776418079, 635970376, 416424385, 456801944, 171332983, 335852171, 1974843, 57207539, 597540013, 987043640, 104358915, 879646156, 936324813, 369884474, 503370247, 492664431, 902801686, 638582850, 964463518, 669538521, 254102655, 61675092, 713236791, 287406961, 437380131, 741675477, 803834099, 594069915, 379914801, 493642810, 948365835, 512801290, 613024695, 637654124, 746263584, 21636373, 750548999, 677258087, 95160309, 47937107, 948732884, 810907561, 652293929, 115181490, 278104058, 622035764, 952340815, 725223263, 158180700, 143047073, 619492773, 892435783, 134454712, 508681246, 297283344, 950567342, 773216843, 62198193, 285510042, 665302949, 187377084, 77586670, 946276215, 489964974, 765306453, 282153951, 81831097, 128753776, 890498538, 239092567, 348340235, 392159239, 190690351, 896030777, 352961817, 705451192, 251551241, 822998241, 218140885, 993322242, 802944428, 409236111, 531913867, 332217458, 654545309, 192376351, 204238431, 247389792, 400564233, 195573138, 506741256, 184503187, 671541156, 259947397, 469221529, 744537640, 864210356, 681697799, 375079249, 890032230, 843750071, 287024743, 621361961, 325920039, 820435832, 658424432, 696027407, 477242973, 527491520, 355773000, 882092445, 190076220, 30195682, 583167954, 424690510, 451732221, 130512938, 449791071, 796273129, 875934888, 198865960, 591716659, 517918480, 294201687, 949821777, 520926274, 47110037, 892145568, 434634513, 95331204, 591542299, 9528892, 322213439, 37233537, 724517351, 577600805, 641241332, 298249715, 920599699, 397525373, 741315328, 438305861, 348181438, 167847360, 821388347, 808403715, 236902433, 301024448, 707896863, 95685570, 859319259, 795929248, 502091326, 31925446, 587062673, 678744209, 431220823, 800390380, 68782010, 171623313, 753876846, 218540126, 9086118, 173725297, 88735181, 531225302, 87977229, 85125724, 242017975, 547722436, 989145460, 176154815, 891998570, 684628122, 402554555, 575925888, 972333455, 889711947, 449297481, 798409841, 749103825, 439594240, 729056591, 489426544, 352390670, 537625628, 715378614, 577932414, 830642439, 304145900, 338039319, 338771478, 254610620, 602884903, 756176215, 358548426, 906538330, 925944434, 371021446, 259535810, 759191334, 669194756, 561203862, 692018279, 654322158, 217601691, 676892159, 157454889, 875414255, 887135634, 520957846, 288500295, 731568314, 802351122, 20533988, 825447292, 670111270, 139472969, 976846130, 307111806, 143694009, 996397715, 681262136, 867271616, 369536480, 509725225, 387320638, 897135434, 882831777, 119653512, 949658995, 586433554, 843766815, 456848318, 250124905, 583295748, 920479916, 371789412, 545943408, 401317241, 408923376, 596313025, 475237872, 71314579, 972760027, 678038903, 974523166, 369335229, 22622088, 982525373, 893607550, 517561485, 359806128, 274617587, 826160213, 368101759, 927956351, 712200781, 512059093, 109490437, 654420860, 404973788, 776877332, 28508143, 957692374, 63542965, 208534222, 196813776, 554917760, 101631102, 278606039, 161090202, 558420375, 744877441, 822278838, 342179515, 289070978, 147303154, 689214364, 717783717, 787148685, 418946061, 948006239, 107439739, 915478828, 665988350, 917375491, 980085347, 710719311, 670244414, 959034140, 651516882, 524873546, 398721413, 232014060, 985418833, 614939714, 686971707, 952706599, 839597714, 231971992, 989245900, 872303269, 682678605, 910729604, 967110033, 447174638, 584545084, 447057023, 803654431, 675155385, 241590513, 939576363, 557370860, 912305120, 335940907, 677201468, 386526883, 599113016, 248184520, 571993757, 613233952, 576341049, 194098652, 92071209, 359679997, 493274959, 361099977, 184174270, 898090252, 291500633, 445857769, 117237528, 509040878, 900783542, 25535441, 347317710, 471658678, 540347377, 858579886, 797711223, 16426315, 455132645, 200288070, 423889031, 71045107, 49766711, 762632846, 285773505, 369459003, 693911129, 311764732, 123372707, 295844016, 530721977, 738050559, 79855917, 435544503, 602936002, 778556811, 994327894, 892404743, 648336543, 999443140, 123377249, 931418432, 804920793, 844051013, 849639015, 493614654, 182005993, 32013189, 530737123, 627060430, 286754841, 936157868, 588560152, 221591223, 917172707, 613742466, 417256379, 742830135, 420055838, 685672141, 231519692, 584682837, 27050586, 260642711, 986202629, 267228142, 465239277, 615239487, 488194545, 926520755, 28524111, 869962700, 666981317, 373440980, 429591093, 228822577, 761097195, 199223478, 842176488, 279773666, 588854934, 741614636, 753200198, 254639383, 974911470, 411043464, 3989295, 171369686, 458735648, 773608976, 175763474, 92988845, 688866385, 283213556, 157243148, 48727232, 844406224, 857675016, 219866766, 66783607, 276573639, 275552115, 948573835, 797588179, 434412287, 385559080, 784254528, 460491681, 649498200, 20790755, 773830274, 877796450, 766622290, 593626130, 912140605, 231801639, 986829704, 550132518, 38824634, 512449243, 75845938, 787473021, 91483460, 143376550, 224931378, 423280636, 64474622, 222918233, 467536615, 868315479, 975006321, 207048759, 403218441, 803968307, 132106951, 102750885, 763629600, 777055455, 99597750, 704398913, 389687242, 198780432, 562146070, 763913022, 119583361, 790735437, 588679701, 733666446, 700369089, 393513705, 629375352, 960764372, 402346215, 963992942, 707953246, 350438637, 340276563, 640779810, 887784297, 367312321, 787857573, 547244472, 818786835, 693617295, 881894928, 220067242, 861029356, 37251622, 326849886, 702522883, 184533999, 191080389, 178189482, 92785744, 923091969, 316136000, 801913292, 972131797, 978697135, 614945217, 409368891, 908282032, 42602728, 284024984, 847132034, 976363091, 594320831, 677263278, 966621809, 726841903, 367325902, 442536052, 758417275, 706326928, 589160355, 421479060, 30113673, 647417181, 923031611, 720301477, 92646699, 849283914, 938903264, 984680650, 134452439, 735638748, 142341777, 430634029, 745601656, 5770607, 128395023, 417738645, 812401695, 511802566, 459298765, 424001100, 581529534, 678217823, 198681441, 592534220, 981914093, 405069272, 145506677, 3632092, 985965279, 271872576, 689035001, 26711338, 459796105, 834249537, 690475701, 247329244, 335270412, 751586225, 706056882, 943796646, 847265442, 161386259, 509461595, 681721668, 946924169, 576821184, 929667269, 88990986, 927747019, 614490507, 106856748, 740918225, 861018704, 271139599, 437209127, 82555355, 570963597, 993928641, 530906595, 397749751, 792848367, 766568589, 450629727, 224767004, 76083764, 227429419, 511768720, 126920059, 208724388, 60174118, 55371973, 114436328, 553400181, 957066613, 160861498, 627381248, 458689657, 296831691, 158622247, 993476588, 924395567, 389101850, 811714307, 307972195, 329010962, 928842462, 976929314, 84340481, 140126627, 13244278, 908147370, 282001816, 228606203, 175010083, 249010413, 392603460, 500346211, 334943800, 743742189, 515419973, 376739163, 330777288, 511316408, 449759706, 736020166, 364379672, 63190296, 981967388, 587330850, 589165762, 76614795, 298341043, 746495085, 744579079, 677565551, 37186257, 588996503, 805938133, 406097182, 88340783, 383747110, 471339172, 472073334, 870671253, 417151971, 965653399, 142538103, 321045537, 84179974, 111235617, 559536202, 541771568, 825908451, 18634353, 298382969, 586842017, 561030401, 435683332, 529124432, 424372972, 683325454, 62747717, 368411521, 847908872, 734677066, 138625601, 968111824, 362604888, 330156339, 377021987, 114831902, 435293889, 960313635, 370879461, 214691350, 773599890, 850434833, 104105978, 341710088, 768074339, 294885324, 865172903, 862208833, 581243647, 960447478, 738865305, 908357803, 318367244, 660279634, 2993817, 484258211, 503943585, 975184869, 728853213, 921202606, 896064616, 703932666, 788173429, 456077595, 499694074, 699301854, 722427053, 149269748, 683315945, 563775364, 52061621, 50953404, 802104722, 727425560, 56878662, 346385367, 708346539, 816856421, 999259886, 830184067, 819841159, 695577498, 392227217, 185624042, 176920305, 28405167, 173066508, 442482096, 104810077, 110892211, 354910883, 103948045, 110481945, 713721430, 686914903, 714892646, 495112408, 56579543, 714674240, 579662160, 640615529, 441490254, 732420994, 364893145, 821301831, 353570820, 253567246, 942568204, 499065116, 386937101, 955608816, 748327452, 839543635, 290590228, 747469238, 675252591, 680934682, 24601096, 986454927, 265085084, 879065144, 76186231, 309187308, 495285503, 200495578, 155015484, 135465105, 128262928, 335079402, 87479359, 118565457, 890119315, 55510978, 211128513, 41615251, 648025428, 19633676, 983429138, 257954699, 818660108, 468555063, 684911651, 645868377, 844930085, 425903804, 119663636, 419808931, 495072422, 863563609, 248439566, 923980141, 65153816, 68309945, 658123263, 554701962, 460990616, 241777215, 88191341, 766974437, 704880522, 197577893, 10291639, 695761939, 847943642, 842573361, 525906757, 442633984, 185359857, 264754118, 489248420, 268367859, 700400622, 617109535, 171439003, 532485397, 408781778, 189954090, 483292688, 561606367, 896439414, 645275306, 204247367, 584736526, 394925280, 736406924, 851092538, 845453271, 740663636, 578545993, 182035762, 974533153, 213812248, 294663037, 83485536, 948897848, 39607378, 890689909, 830270433, 795691355, 83103023, 609131839, 103124315, 180923626, 641505107, 400009525, 489808373, 251154317, 833322874, 111577321, 580796587, 771889288, 684477107, 252556254, 704655042, 544990410, 852776408, 459111616, 274543270, 99149936, 998020472, 646957493, 388954144, 700918862, 515965322, 57765445, 985412021, 17852875, 485819126, 500038181, 690122270, 183315034, 15638536, 757160869, 600578379, 740603447, 930148206, 245243807, 780464089, 379204189, 373490993, 610478664, 122985287, 959493758, 27116996, 751203948, 732345762, 480723478, 422239648, 310270377, 948200469, 102698335, 588865977, 107658807, 325101836, 763648876, 679976475, 643664496, 622974389, 861448889, 973546317, 691315135, 884059821, 131859027, 668774289, 172535088, 202508296, 321053099, 166919027, 171552941, 150221486, 826147217, 890779117, 693036460, 103452310, 103080717, 786869236, 774378715, 924117051, 431160, 236829489, 537193790, 836657883, 471832082, 244981839, 922866236, 359515422, 178379727, 453666351, 388210150, 251733914, 739477389, 480701591, 690611422, 845749432, 974237208, 830649539, 892826033, 318719211, 255794087, 8542743, 304614138, 726518994, 373788931, 974824405, 743835976, 680280834, 154046180, 138266699, 2765959, 395571037, 239833282, 108312102, 93448015, 961245990, 688306215, 871434609, 318548234, 460304278, 168799542, 713206254, 990549476, 370373683, 198335810, 181111418, 229746112, 770994459, 283851034, 923677787, 662870722, 688068159, 350424386, 483834274, 343976709, 417280890, 980803329, 559085965, 893287737, 870250221, 870391406, 927987867, 611340522, 997605464, 315567728, 695101057, 159357043, 791049654, 276628156, 712739920, 407774645, 524486978, 469796296, 541830952, 294488421, 431846353, 691649513, 843040161, 700978250, 432213907, 124091995, 363754447, 833271800, 979460710, 43312655, 360034718, 443626213, 576738632, 181105035, 188668998, 335419443, 301035680, 266354637, 281649518, 884141275, 163397097, 467237254, 916886000, 534173730, 238946663, 568308448, 639110220, 621127034, 313199134, 759242429, 850235777, 421964863, 951921684, 887699516, 358173638, 53026916, 813430739, 665366197, 781590862, 724768560, 870080364, 592362969, 518929296, 257704366, 895545943, 245317372, 25917255, 634365770, 128739159, 491453742, 769440334, 641188742, 473521782, 845336148, 728636767, 431279475, 246753639, 797687979, 127652757, 566224930, 519573444, 646300306, 374690240, 545902332, 792688589, 322914405, 759415631, 311057936, 763854175, 164011704, 778552779, 105359898, 977059881, 807804455, 436064259, 163963140, 216171844, 892779331, 539869707, 777510542, 725215569, 312581809, 528525533, 446104950, 235190480, 776285262, 996274378, 906075685, 986986711, 571411616, 623502187, 283646376, 996236571, 834206081, 413465777, 241956671, 670839837, 304725782, 592519188, 55315318, 24530518, 926930864, 7817094, 284053758, 865309298, 877687861, 417767746, 981930508, 204271123, 804750146, 481199057, 775516580, 948047092, 952497411, 463351483, 38498878, 903688633, 116378456, 799491525, 330082150, 716563263, 311406019, 868889238, 3814948, 144103887, 977154497, 71859078, 962328933, 442543027, 656967095, 115139059, 400197973, 97861210, 869684411, 532229739, 837291831, 537772329, 445847543, 64725927, 893703203, 942515151, 438958014, 992117674, 667215270, 114410249, 895581920, 608084901, 865493082, 387249720, 788522708, 462149785, 609615992, 334580020, 492319262, 287657206, 578619285, 381041586, 409270561, 775107983, 246359774, 137425118, 987338996, 865768196, 940230590, 684433830, 344834828, 689095835, 319150084, 246431488, 38273747, 696390047, 453718561, 59773631, 670743134, 225257774, 455122638, 437853356, 387947963, 8017627, 844160252, 484013424, 807289888, 215654807, 331626673, 81520405, 919840531, 564787131, 627597459, 925943440, 84989038, 73405511, 657027342, 690496305, 956537332, 548681002, 57563937, 684642341, 268638738, 78175307, 427854870, 837830957, 887530319, 10681834, 368859999, 173033785, 478681249, 620866211, 605657654, 576092168, 884281300, 50931232, 93496263, 534703950, 796995342, 329394314, 162168479, 533515516, 461761060, 821440211, 786750125, 47699711, 740033985, 266906687, 264892306, 935244076, 398908407, 277363227, 673778389, 919133696, 317649311, 905245075, 88137821, 457967537, 666232772, 329478978, 160989661, 127137708, 3451334, 934956479, 1590074, 531898485, 986550273, 704542401, 611580482, 152832392, 106119052, 367600326, 617872796, 956568320, 503750870, 783056630, 633626459, 280591451, 506169979, 645362998, 75076032, 602949416, 26578011, 45873942, 15784880, 489516989, 990472392, 826100325, 241492975, 699128284, 82705347, 220086251, 43471696, 567070432, 42814933, 492460693, 725200706, 825416646, 888472237, 539118715, 315970344, 825268857, 762712770, 975642946, 367419772, 270700330, 246174809, 5571193, 457276187, 173712989, 624695810, 572948814, 859982821, 251291314, 597394351, 264014738, 679132832, 165787755, 859177005, 326689375, 10542783, 974535283, 888557381, 957367625, 671459857, 792726345, 409985431, 31535924, 4353523, 487995171, 407528357, 738561336, 844473757, 293959920, 596362642, 564206453, 994931890, 448662958, 495160983, 747174370, 335724957, 393881317, 591647815, 399382707, 330189207, 256686347, 239380416, 13970503, 83086391, 770517577, 735157685, 28602417, 820242159, 964991393, 394542477, 62404280, 736263531, 124502058, 654433456, 827511368, 340549921, 591000029, 996249458, 647651148, 361597668, 645220133, 873372929, 165207457, 60014328, 308788027, 80119268, 343630727, 451879617, 949704403, 343818468, 557780468, 105147136, 629419695, 241380493, 417187963, 679236208, 381717709, 357960194, 189811448, 966606384, 47091449, 453465896, 278075572, 712874926, 946381891, 804470503, 418528314, 406702360, 710928730, 327556200, 731313558, 996011998, 805833426, 394134232, 330103921, 956532385, 272248857, 302620491, 543166879, 726903398, 472655624, 285125000, 738113274, 272060784, 784299198, 888077186, 495399490, 710657203, 228851086, 660355682, 937717705, 928431946, 722377014, 9408660, 129158217, 299965190, 627720096, 908664091, 746337305, 639884827, 212645327, 560098950, 895984255, 381617133, 593890621, 686172115, 77064307, 741991395, 327351945, 488157588, 165494398, 273895902, 618771917, 362369752, 536502578, 451194580, 264082498, 860328751, 896556487, 729604272, 690703756, 957623012, 939957364, 209925585, 936465014, 322622472, 419477545, 173083264, 999727234, 872261183, 138737982, 40459851, 888084253, 404932251, 500902887, 583717975, 701620137, 529669042, 722646297, 419175991, 525016685, 298114673, 78585840, 311215578, 252718349, 362503213, 901385805, 92871938, 81617874, 810437219, 361012710, 184064772, 142508982, 937435203, 396742132, 692448455, 112845425, 470048273, 678578137, 176852820, 856568468, 739854978, 985879123, 930516678, 349569253, 992991393, 407318683, 857011551, 275682730, 580294377, 265599994, 136097010, 732709729, 447961274, 554984269, 204300311, 827813633, 157201662, 687803737, 185862104, 612030138, 945332087, 971160130, 66347099, 46177788, 210261251, 821159117, 507735523, 200087181, 228950604, 286589671, 428017589, 902297697, 77552342, 950835447, 766032703, 369925651, 835272069, 66779310, 345013199, 922675246, 274881724, 623185826, 441200027, 186943173, 300136411, 660989502, 551181188, 554477684, 659419644, 383891171, 401453909, 127959006, 657360438, 901066413, 806286109, 890578811, 149882952, 539207385, 908269480, 963705621, 437102244, 128811072, 620752763, 249012911, 23043335, 277087199, 307904911, 639723461, 566740738, 828524330, 828372065, 113222217, 813892922, 350456740, 619530546, 171859377, 42411313, 375205672, 4110306, 617678890, 875829920, 196719446, 84971941, 960129029, 354330557, 238901325, 944168954, 239246187, 853515971, 307462677, 803582328, 375385313, 411495089, 340149193, 363489558, 574656572, 417422585, 17688397, 169311267, 572012175, 815803568, 166640811, 406268282, 316509117, 743939456, 926261890, 354292053, 972550670, 75688254, 235654347, 131076596, 1722057, 923808899, 58324126, 810239443, 448219447, 487470492, 134225100, 32328803, 980763108, 16747641, 542710575, 741646145, 345807176, 861869411, 668650866, 862649021, 321296771, 741645345, 346436867, 33749007, 781473203, 158576983, 271579904, 807461796, 310357159, 766465443, 84867087, 186246773, 808268159, 954066206, 576566800, 960766384, 171476242, 4160503, 605583973, 885830574, 379165410, 322121190, 411765585, 476131255, 87471509, 670550077, 801423630, 819885013, 578286536, 254690419, 140702226, 47258773, 272369144, 348573101, 509072355, 901219116, 42470959, 609775270, 592576420, 437239044, 787005799, 703075064, 960426684, 130226823, 525126157, 352416950, 867374293, 293230178, 970163957, 407354881, 695284689, 92520986, 952477771, 940273135, 786111107, 841162800, 115852810, 334649406, 975679710, 468090655, 928036684, 275692423, 693899778, 140369408, 381244432, 920501795, 831270957, 914891729, 290651276, 996230516, 581646389, 409263522, 818892081, 605315078, 436330910, 889114906, 514849994, 855419611, 686219237, 838020354, 213922789, 929679750, 334236539, 422848030, 57405189, 11958360, 105627569, 703804363, 432210059, 731677422, 950454270, 381019873, 400450902, 319777813, 331368306, 664494948, 740315392, 788958345, 94547932, 642884032, 703834332, 927304115, 499244924, 230283614, 193686362, 638523287, 949452556, 547220373, 226200699, 586665866, 105781000, 523676359, 149220524, 160026727, 123512306, 241740661, 386256774, 791476741, 621639705, 488993409, 690106586, 769290035, 513659464, 454416088, 12619573, 589305523, 643659412, 668923826, 576295091, 572803708, 465582616, 495743339, 800825067, 566762319, 351726582, 597370357, 941433733, 417007761, 145811350, 209394050, 167898421, 666776325, 593596124, 930562783, 5040044, 20269235, 946204694, 628661571, 741760822, 902902850, 577004917, 699313457, 21238997, 731555480, 914189067, 612964513, 446423306, 396049515, 579250130, 185607255, 376344721, 425601162, 524719191, 536048067, 258640710, 844356045, 527540008, 651801826, 305867907, 400024693, 61218613, 195229055, 366760632, 966523561, 324066263, 837176368, 620267096, 761817928, 530653973, 350403912, 622087723, 312865768, 501384753, 501217595, 907392238, 460602908, 459438703, 831976081, 803546026, 517854844, 891388162, 781830479, 861171380, 276096502, 452131292, 160737786, 784492883, 663854888, 574376064, 999995278, 670535550, 497592542, 59022778, 619461689, 877509905, 378287681, 219757365, 781684031, 742755443, 598201212, 146675201, 626408245, 383725859, 286042777, 73412725, 728858824, 775968078, 941833314, 108406233, 550553033, 700457984, 448763253, 654806878, 665419639, 959871461, 609501189, 554058004, 791505976, 338394240, 49415942, 344902729, 180860979, 145517285, 215093429, 841554, 422017541, 894654790, 320037778, 489378636, 588343062, 592238318, 70077287, 40062575, 210648465, 887734776, 519738204, 205129138, 520077520, 516222786, 572321541, 514392433, 365546224, 375584600, 1416723, 201194330, 347571084, 772108691, 673980382, 40785111, 668389268, 568594289, 555399638, 309041455, 874006237, 590215893, 184657229, 132194749, 255056308, 388955112, 71041211, 528236276, 612194315, 890894706, 876461388, 740683970, 72388444, 779620939, 854055114, 354259369, 435455670, 863145461, 992866183, 314151502, 868235323, 559355984, 958579771, 328860150, 906747815, 736087233, 916408762, 614295204, 835902022, 145385787, 806444084, 130811967, 876484074, 14700914, 881979990, 682509003, 988407047, 536843463, 122397371, 898638446, 365718299, 731222328, 249203083, 342369123, 747815162, 627298437, 788513784, 770873655, 690130084, 113530671, 997047436, 265962980, 737278137, 537553397, 859734120, 238733023, 644188666, 139370354, 499936826, 858975930, 346785446, 67324201, 751968684, 661005387, 388313764, 707989807, 774822704, 215245238, 205721723, 193234735, 969414176, 152604116, 345304285, 701824669, 242856443, 515843026, 15347417, 153204622, 392345798, 165078993, 806536832, 94750412, 774316875, 75740532, 315262191, 701952801, 229036352, 617633616, 911112982, 744814292, 280124205, 960876277, 623068266, 733831048, 23192797, 700415710, 579493479, 369081556, 162736612, 105107262, 207433121, 606138765, 753213545, 121846793, 932038297, 150414129, 349749851, 651217281, 936465381, 28161316, 840909642, 174041171, 335822833, 664767186, 118885132, 377643944, 616658794, 706884143, 590657598, 27201744, 643745056, 51684075, 316779565, 297886445, 560408816, 35752087, 907960562, 523770419, 984830858, 707649602, 818245715, 575595603, 457070890, 47519946, 778189285, 116544979, 310867876, 649456528, 184872825, 860937140, 106661867, 709258301, 971484025, 996602858, 258195807, 78808769, 785879478, 226646500, 173243874, 266143811, 203298819, 950881971, 735193349, 267379043, 390199692, 250835803, 6313583, 833222964, 22653782, 796486382, 445704720, 26179210, 944460049, 607076257, 180458111, 256314495, 438961229, 82982062, 147212015, 20292666, 630976936, 659189946, 891373880, 860672940, 937367362, 833312333, 192821121, 266879405, 141832388, 402983357, 405049497, 729577383, 154182185, 128360984, 891092465, 21494095, 8819285, 111923315, 906217553, 609893685, 998602779, 457805575, 141447149, 847562769, 477909830, 873294053, 373779555, 391571767, 950472913, 932461589, 23722903, 708525876, 732990610, 362289751, 327010812, 905881484, 228816135, 67484265, 640066887, 655007688, 564053763, 712646890, 880160418, 197586097, 394213322, 849046908, 548031787, 810386089, 407298339, 429961173, 479285997, 953018966, 837922030, 966647657, 121413212, 961868952, 800048134, 45102811, 87599343, 70205632, 234826179, 350065848, 358257915, 488407299, 473126916, 935797154, 49043966, 327096364, 732953438, 476832342, 77183298, 291900112, 281571929, 932925152, 905313653, 825791590, 718278588, 92896415, 129411629, 717291605, 874375885, 638539430, 982531893, 812396331, 230520934, 23357769, 367074177, 161026612, 248032617, 150611699, 916539150, 757113466, 309103997, 79099618, 541653722, 881982362, 577647010, 468578773, 95298530, 79613451, 835234786, 376219779, 422146485, 560276314, 104356205, 1342389, 15353834, 980645456, 777941654, 180650754, 922145045, 924728508, 302265733, 217954886, 410221054, 816724727, 872067914, 113828339, 663323008, 795907452, 991191713, 760150362, 752915519, 850422105, 610766297, 825123341, 108860098, 370112183, 132004583, 896553704, 576054134, 13541692, 708339878, 545418615, 721872296, 256665109, 1607348, 409366172, 730443497, 458665520, 349721291, 356904805, 250223431, 49819993, 130740352, 461517173, 477592459, 603296291, 291745893, 263899305, 685200666, 418899353, 642112488, 100255463, 25701237, 674111261, 12025155, 702821920, 380627308, 997250220, 899956851, 774423224, 858229392, 922064343, 862487497, 746274828, 632114242, 261835932, 884207416, 288727330, 556576561, 205784699, 103017253, 358432135, 574742070, 608681256, 682380082, 379896762, 290683954, 823587634, 639179822, 618252869, 375290467, 673945207, 183919405, 721871079, 887844371, 98292588, 492194901, 781351951, 823252188, 627284067, 119252763, 967844988, 829609134, 195344150, 641668484, 39457297, 668196730, 561250404, 293411311, 910790202, 83270589, 755182386, 248586398, 758418022, 900406478, 67489470, 675425665, 778050545, 28450192, 377755269, 864075268, 572700161, 159671682, 189516084, 769692085, 982684692, 232171500, 955846837, 936498911, 60604561, 24817107, 290863396, 320998329, 975949546, 568038318, 981190313, 839934801, 731076705, 308765076, 49096444, 819186033, 121848308, 70048167, 433291522, 267715821, 205039677, 592805204, 319299929, 885698777, 511372058, 929917426, 125995414, 149593146, 378173517, 302916978, 392260726, 751594922, 402696501, 895475947, 442135723, 328589509, 513754209, 286390704, 709180855, 492694123, 166449611, 464697345, 526361930, 488788749, 928531443, 158484487, 837956847, 428447401, 864250592, 398249607, 869305947, 701822825, 743938133, 262454938, 639477906, 823531685, 624565409, 547453600, 716607163, 806726068, 481458249, 239251348, 870986740, 805274234, 294326136, 127686964, 597119402, 549132515, 605297229, 770281527, 148357605, 205384978, 651242353, 965017706, 402552297, 486551664, 112902824, 994657928, 833204318, 100259244, 953265919, 917913257, 169572574, 130576841, 377044599, 492524142, 697767640, 913104551, 10323877, 854551002, 184070460, 141705341, 37213362, 971900688, 638515304, 642255796, 534598067, 280654043, 886918634, 198479778, 801969393, 738096985, 725846998, 789502966, 353429063, 81959903, 503451428, 502892741, 639583507, 266210379, 257818524, 961709196, 756459501, 174365787, 959290232, 625277241, 187319629, 622669583, 778823768, 219913430, 766405926, 481760814, 579456342, 458888610, 585156669, 410860238, 306914197, 753019689, 794847260, 820699408, 698750276, 119911626, 96469984, 400732723, 972435836, 520100117, 993044448, 514252505, 28815651, 534081884, 250501681, 568185731, 899370670, 418614384, 218916756, 355712045, 800709750, 268575475, 301944096, 561825157, 184448060, 634721854, 533861926, 378212406, 772078093, 269433184, 126996252, 698777501, 721810714, 28087101, 687535443, 618074056, 664651926, 990624850, 65429409, 206178162, 379516774, 737428978, 993696277, 907080269, 890636506, 365954149, 372075589, 895539291, 200688630, 155093737, 217407844, 313369250, 281664062, 487411721, 782448068, 606642099, 408623587, 932294305, 431402982, 330435073, 81843943, 979806998, 199052785, 248061742, 694000650, 206143634, 497270481, 460595782, 592159296, 721565842, 949741474, 159068462, 317224176, 754896533, 315677303, 523947264, 390911335, 498970408, 926554262, 206207584, 29159701, 345630764, 900017854, 862775304, 285288725, 286757121, 921923860, 237932922, 550426579, 912594793, 939091280, 682666570, 432894167, 108345360, 346974721, 626010936, 727440122, 893700162, 24427209, 780211311, 215237705, 926933860, 514718056, 558913948, 546502064, 680001471, 331080809, 829837662, 940260271, 920065237, 329586397, 240802001, 66061750, 644707066, 454416644, 639583822, 189923386, 861059742, 918108818, 952514870, 313067234, 762961370, 617122400, 716367107, 416111129, 793769920, 994579454, 174294660, 248181693, 865607163, 999612287, 886616722, 812267661, 896452488, 268929903, 935083768, 625326191, 321815584, 758910465, 94325909, 424456375, 366318098, 576671933, 752702039, 607984122, 954793058, 528538097, 631521441, 785409695, 711247709, 129886807, 723174714, 579019024, 427531135, 792577934, 781814716, 301976476, 276836254, 423758968, 138461301, 217095310, 559241948, 251074859, 121758120, 672695387, 62634887, 678739134, 60803625, 264413498, 872794947, 542608089, 155102053, 891599423, 593557492, 156314271, 391257589, 438763959, 397186178, 334079305, 801519993, 572384721, 345572421, 422482995, 437290636, 756070197, 758153784, 299011331, 228449661, 905562385, 434695259, 442618304, 903574091, 816464082, 399504768, 43393125, 567699662, 131345620, 764297345, 726119381, 488990960, 386878970, 439910989, 375851945, 890203966, 645881115, 735114187, 413663934, 25616477, 587727201, 130229047, 567982580, 970916394, 426600189, 709198830, 503618645, 314738216, 875784367, 820105548, 786487762, 747375788, 100935413, 380531094, 870586371, 184424237, 180925452, 249080301, 300873502, 707095615, 991649326, 604409542, 746179093, 448056978, 222712467, 10652066, 295170028, 379912045, 356226814, 756706027, 756702184, 602355017, 507271882, 59477287, 567562787, 506417145, 746326779, 491088687, 900164466, 690226362, 174394369, 201451106, 905837076, 57510648, 520338877, 531968668, 897624432, 292988956, 106847123, 728612905, 782846108, 723426789, 178445313, 228282496, 531425874, 922829591, 618799612, 773976976, 651204481, 950326242, 203982938, 143930337, 105098311, 502859877, 332207266, 579771900, 940568866, 71774420, 349028765, 733676706, 986929313, 226123177, 620869389, 319563133, 446485371, 539266235, 722918988, 814852538, 539538060, 39938660, 438355010, 951593634, 663448841, 593198973, 79814677, 660590436, 677357699, 440613670, 593202513, 503089629, 760195487, 250838500, 919950306, 646537243, 927152562, 592441407, 538104302, 536409150, 63571155, 195702296, 918404527, 162808808, 693940238, 560230958, 737510986, 992392320, 844265228, 695521770, 300308712, 786523306, 487218310, 192343466, 661469699, 108679465, 430226867, 941561661, 461895340, 112417918, 736377990, 696227950, 240271069, 206256338, 935980941, 859978405, 353098420, 111547317, 152239363, 296988839, 477144360, 128393417, 77685469, 763115205, 546450049, 859618098, 567035474, 829775445, 372053443, 677584951, 854608609, 586334765, 303868057, 945647995, 450081540, 245322512, 50888693, 646961712, 809340243, 163667088, 967984985, 37105772, 230666976, 471431092, 865794920, 557360524, 196712220, 339655058, 984593717, 71799367, 836631493, 767861911, 195845936, 847825229, 513338989, 802246030, 100630025, 146623935, 496400989, 932211814, 234071598, 224569877, 212150251, 989658302, 773018140, 976829309, 210704071, 976454018, 227206920, 82585603, 20943243, 941517943, 980858113, 716249194, 468918057, 297765611, 189316142, 704333714, 98158910, 660412419, 774432518, 256872964, 178332466, 149690971, 905953659, 191707343, 673508706, 328690641, 152589756, 642170662, 375870459, 82332887, 99686233, 361876656, 531997253, 587656815, 636795244, 376732436, 281463785, 333131270, 647351778, 413343918, 530826653, 121568113, 646639273, 918388676, 180500470, 141528682, 795381584, 243632557, 949920568, 770960434, 23477918, 367109645, 280753972, 931871308, 777106938, 807302416, 119782236, 838050188, 517701944, 521018678, 279999069, 95294174, 913737779, 636716456, 213917257, 313642548, 724258807, 447114817, 435888466, 688936509, 47173272, 757534023, 459798670, 218477703, 224684154, 883265694, 862519344, 103648905, 389801582, 376781257, 649196382, 193076183, 176342182, 370017815, 415275631, 159459129, 577741346, 183493187, 934288505, 247335347, 680384923, 640793051, 446100812, 472090670, 104942002, 443836486, 490041392, 177861385, 182011718, 801415588, 809341777, 72587813, 979246912, 373413730, 543484643, 164487103, 622207939, 593024874, 889723386, 281975696, 224739623, 847452859, 27688987, 249712284, 49278176, 778315245, 61413908, 393049784, 885481747, 700978812, 723208366, 480023487, 158133910, 744919697, 806460295, 823887288, 210260880, 457677739, 661354635, 237870652, 806351141, 832699714, 595028474, 205208168, 971927854, 620022468, 261394736, 608445279, 70608879, 316478064, 600923836, 184037461, 511106281, 211892154, 577399998, 591623370, 330101496, 12593437, 354113973, 838697794, 583284694, 481393874, 687939971, 407908306, 836809663, 455605995, 788731391, 825055676, 787999762, 919830905, 695143520, 985655555, 914583133, 822069478, 827882170, 259953787, 36258899, 44924245, 482745229, 160721907, 441951657, 13756175, 788419518, 239467471, 374394446, 567140355, 179443822, 367630466, 626006099, 32115082, 770233251, 492727231, 478887944, 49498660, 732566538, 359927810, 694733241, 61383462, 691640937, 793612756, 136625897, 217858549, 226697256, 224263712, 425925466, 968665597, 674867775, 823074177, 57135845, 585582062, 715076040, 16222845, 866849959, 420382573, 576433211, 881826771, 682534407, 630957686, 559897318, 915979386, 542457716, 183018756, 533483784, 303313739, 836061103, 52095550, 703490829, 804568453, 727605640, 17741610, 750354895, 658319560, 602467989, 152247655, 640059348, 147546790, 802741668, 491599574, 359205192, 128978041, 335392585, 920059071, 724881286, 164761861, 74506138, 251655400, 376606047, 187632675, 954085460, 491543906, 314263706, 541062769, 386121910, 460000369, 239530270, 667753828, 766688938, 293938179, 184910094, 670113885, 893199925, 771504370, 948104827, 701269977, 641880425, 220216127, 731833509, 586288679, 196876265, 842847229, 258464438, 770351034, 651737610, 601857225, 845208530, 595359819, 882383666, 56413156, 804256367, 506536033, 677124433, 252185609, 964068805, 537509060, 671176618, 165315873, 41014665, 472336214, 898902122, 683936452, 198500860, 170436612, 706490309, 38423920, 112712878, 495319565, 892397346, 423861052, 906994181, 144585515, 277837207, 176663919, 182309856, 272310725, 147517632, 92438574, 215878046, 639965865, 740778766, 600302269, 172452913, 88162526, 868882029, 863756969, 920355219, 319549022, 290145457, 968719172, 223606840, 992979019, 286752499, 444628732, 234516285, 456064198, 222598220, 62019544, 246705815, 477455618, 311305598, 972631214, 58570703, 699338302, 856781226, 515276101, 717064938, 281106287, 963140726, 742666030, 542940631, 617610884, 718051984, 9458187, 281266719, 974025170, 71010849, 945000308, 957312201, 12661887, 952210413, 37586241, 244367147, 693355069, 768621069, 570128064, 286258546, 14209477, 656843801, 428674664, 208228544, 245281137, 773344534, 162726310, 829385596, 79419488, 29622322, 26364387, 236412837, 564124049, 578043092, 181981427, 378318581, 951698671, 646657929, 654453223, 97630280, 337799602, 466920219, 654768773, 40999192, 104101280, 596167394, 541048870, 961765887, 95775979, 611844052, 679343016, 49706730, 214281688, 336615021, 429098028, 187109385, 522822226, 999131590, 348409261, 928001355, 800795138, 115249263, 817916391, 598378394, 901810915, 15426892, 929183101, 836639467, 449226988, 803376748, 516864930, 595759449, 876179767, 302810570, 911105003, 754877076, 627357498, 277243518, 852714689, 845500606, 747059088, 826752809, 494131778, 90643925, 218330975, 473714548, 278485257, 325158152, 313443972, 864013402, 620460524, 171319262, 826599922, 302716081, 507641478, 644252176, 279360256, 811783829, 418522458, 563650588, 818568140, 828179919, 397989588, 398312466, 679213376, 901671329, 723516429, 901751708, 724950819, 972463050, 129760569, 548945517, 256587032, 683859186, 527168802, 870762572, 471671274, 228150215, 976998768, 397350704, 277022553, 352371755, 634518561, 944496870, 970417615, 565093552, 323075343, 695646928, 923049675, 127509861, 426939471, 80647168, 278587870, 986101073, 541892219, 153184724, 281448877, 915817759, 675929611, 660563444, 803466012, 619169162, 376148284, 598717220, 471163578, 660758257, 338496830, 840989232, 187014176, 197286497, 551485906, 501175098, 54454374, 30365751, 271075152, 424823263, 593152331, 969861594, 527487488, 559978081, 535208831, 439400614, 427620258, 884716390, 805154667, 442355131, 292627100, 556411349, 179758470, 129390911, 764136577, 671854115, 205764046, 202448424, 238833900, 773462265, 253384939, 812617559, 354045667, 688097513, 429441745, 732315839, 516989520, 703830955, 919763229, 75294885, 617500955, 172388021, 743020974, 470001001, 613497749, 646195932, 367451432, 882315779, 43497988, 487948579, 557252860, 232058132, 524476577, 839345455, 993776674, 420250222, 1913133, 454045963, 914470548, 774070945, 342734955, 173226677, 620101764, 304759028, 984123820, 81225448, 307537157, 424216080, 122575324, 500081254, 695099937, 811189310, 482832521, 752463613, 857278114, 809118614, 823548858, 195669101, 261692553, 42773179, 586548671, 240450526, 559459840, 798835970, 868765894, 999872234, 342758104, 17764630, 472872145, 196338709, 934444670, 888178235, 84660711, 839878120, 578087845, 698797046, 575891142, 316849797, 424624362, 780510560, 644352590, 626612877, 110517612, 237891092, 569186058, 386881298, 923874884, 173795807, 806669314, 341186257, 228287547, 246554493, 545970967, 410859780, 998136726, 993522176, 902292008, 863049491, 223587499, 19496433, 773060595, 405926224, 924269855, 231393751, 328588237, 765748592, 682696120, 757190467, 18792577, 386803083, 497830525, 395988661, 408935545, 69474536, 380255480, 766835024, 22681387, 762002283, 877392476, 532258465, 790444418, 472439415, 85883557, 44878408, 975894962, 748379242, 484876275, 445800852, 636377636, 990959012, 937235068, 330612604, 12467297, 282339212, 184661749, 193339062, 451228795, 538940041, 707576411, 867118255, 414696298, 703008715, 563315975, 308224864, 391356790, 923133549, 657896048, 433280274, 654098768, 218504177, 277676776, 248400497, 279072849, 168938385, 914725779, 199607979, 951772405, 38589679, 156599831, 478975954, 53681060, 461656714, 223350405, 469194693, 935552940, 496383908, 448465991, 185253607, 719878247, 820689070, 681472723, 47407593, 488612871, 537766625, 540819211, 728713922, 252352715, 746308276, 132742427, 637614102, 818555327, 113697671, 637530328, 418332040, 446157688, 387243488, 334661624, 409410725, 56015245, 882722365, 367295491, 901027463, 794551603, 420177205, 633556901, 214533284, 206157335, 464651555, 808338321, 990973969, 368172382, 888326931, 276141218, 951786507, 351330032, 254253330, 162972076, 433198264, 957833273, 552434934, 937716921, 299277434, 334046503, 947587349, 997835410, 147226679, 612135318, 650868657, 48608212, 638841584, 116562312, 67051100, 257074132, 552480989, 493649344, 128397634, 971327381, 740553511, 421439501, 284611909, 753006851, 908168862, 56138391, 662379622, 37639964, 231723248, 180986054, 114003435, 817174841, 709687984, 786055222, 636694325, 900653619, 98235204, 4711197, 516854899, 528389917, 587599108, 538460343, 2764429, 134983680, 221978572, 242313151, 199344927, 935549253, 380020379, 606425865, 951847987, 809348110, 880041450, 203170148, 971360092, 738718955, 619946809, 843667553, 770468189, 468756390, 339835011, 18736880, 556973580, 800215569, 463187887, 342354259, 313727781, 278073554, 704692555, 724449516, 911499786, 157842319, 119603932, 415291609, 430810296, 132546435, 181079145, 211586023, 626196615, 767649903, 395487822, 70511601, 696503364, 238839678, 283255737, 307431735, 130129005, 139211810, 785569410, 255589422, 187332572, 157519975, 281610763, 775352768, 373144456, 972532112, 419823028, 285053345, 464928355, 363682110, 469854815, 90401612, 413984341, 784175133, 553769787, 900472192, 358398467, 439896514, 649956686, 927503116, 477154221, 301288347, 668649156, 330976866, 261704175, 538154137, 392100474, 359441208, 183656866, 741697161, 544007107, 610320916, 908430466, 506991457, 683407968, 374300015, 548729042, 49450102, 627618692, 780220556, 822591767, 583816920, 654521963, 694013265, 401987244, 244292376, 326082751, 251283375, 93248080, 992759449, 56937713, 24465600, 108247816, 961829522, 789457735, 352685433, 337913227, 67902597, 750133939, 486610936, 338123792, 179907632, 535494034, 226127448, 875119800, 590247702, 580361870, 143520698, 810481745, 686505013, 762344956, 352984990, 92135135, 322748082, 283763199, 467105271, 117105077, 155498379, 238507790, 326895033, 669816161, 552889777, 396771481, 992458264, 785996055, 809239797, 817017877, 57094253, 965558634, 207470353, 855196839, 186851546, 127469170, 620433282, 243352928, 410521534, 190212699, 830120638, 571548048, 357836282, 660186128, 378058742, 350246209, 575398937, 46431318, 47752769, 602409341, 321279087, 401376194, 854196437, 659422639, 473520463, 862296335, 721525654, 858965248, 226733709, 85194717, 102555190, 260250087, 289514521, 235179832, 698968630, 647471236, 202503307, 580385309, 649909599, 742070822, 484246120, 365075406, 784896651, 144737114, 313886682, 733049240, 933702850, 310640161, 122097778, 675681822, 519495675, 910382534, 247269379, 658103888, 798878957, 775107953, 671672820, 672451421, 349972413, 124806330, 528396773, 372005098, 612279007, 787864930, 664002059, 562251608, 60958261, 560928871, 660934128, 53976395, 21576670, 820913125, 172248379, 658537841, 278384946, 27117462, 761099682, 226440057, 365933137, 728517659, 165109077, 418207544, 460599736, 49712905, 637453334, 944289156, 160156879, 727501276, 102937410, 843375939, 547936181, 672807900, 186620365, 316375162, 39238831, 251245059, 96480966, 631355815, 901320348, 979823934, 630892660, 323439069, 910291436, 201145450, 251559498, 520531822, 719773012, 639607695, 740067248, 771437766, 988203645, 605267457, 626403557, 219166347, 501467351, 625905676, 812950168, 464569225, 665449793, 715839673, 101220427, 324586669, 821202461, 586933322, 865305405, 308800566, 164707277, 173763732, 125958629, 842726979, 173504002, 468054664, 972425841, 811900999, 580363392, 147617601, 835509798, 586268817, 255766342, 710683549, 81054839, 853371585, 779155196, 211419676, 215702924, 841940332, 523658258, 106011703, 808359275, 368833996, 611079143, 644325712, 148509006, 276750666, 974094231, 910761251, 166254048, 189980545, 747661621, 649393683, 140168362, 112606454, 417041566, 532425453, 702189896, 818229909, 36582856, 376097954, 736240669, 959936089, 35098257, 353251615, 729146668, 52502076, 496370666, 156534192, 948596251, 593148087, 130375235, 771601255, 27723479, 814112238, 197353412, 838159472, 491869831, 553427608, 738204568, 367305902, 253851119, 641950056, 606707191, 101126064, 942332598, 914747161, 976250764, 747862552, 802137931, 593659481, 455638638, 711652350, 159254369, 820734447, 609361237, 317743622, 690056596, 120541526, 318554890, 866047389, 990423498, 26552026, 459608194, 509169633, 150646280, 800851394, 221294909, 940195473, 199772394, 708237922, 580215162, 201358189, 972625651, 562590992, 898786720, 848625244, 130211626, 998588457, 276062186, 770813342, 629020424, 296020606, 765637682, 494837709, 549351307, 51202478, 746257728, 132826123, 745360694, 164045193, 753502947, 951762166, 763745617, 147003822, 566873293, 689310305, 608389808, 891266120, 61881636, 794146598, 703680901, 345562574, 94844606, 527617208, 378625152, 837775172, 459255739, 952773263, 3910784, 620019536, 728902861, 29737133, 69000193, 471047579, 683560250, 883734875, 735542594, 433980112, 862184157, 806494463, 643927846, 1260790, 957737070, 438925264, 152068574, 440734046, 366965622, 326004607, 792741555, 480258936, 187758095, 78102796, 607499604, 942737999, 150345910, 489338894, 31431213, 96526654, 913927086, 660213893, 567300418, 128020074, 487168112, 155038325, 263963376, 677042663, 26344860, 235159292, 587885849, 366422141, 544144665, 198998295, 687944977, 272309646, 1558838, 140370765, 292674599, 886424664, 440903662, 434935529, 171364745, 475351052, 950326251, 846483214, 631050117, 186579712, 873312028, 463333178, 339375413, 565769586, 117268184, 352587014, 256978061, 192857391, 872802971, 457990054, 44488193, 573256176, 83728087, 103056749, 785579001, 315428427, 868168979, 153181406, 698657314, 448655731, 867942952, 10348205, 374511484, 124739575, 752195756, 144637140, 281096310, 548446730, 841716408, 230920634, 134975068, 673712028, 87905828, 588381542, 691269327, 185416091, 398606705, 154204, 781000575, 607260521, 490345209, 591993472, 96296926, 256705569, 622251118, 990525939, 345635967, 870712667, 342817748, 966923265, 779675456, 63012805, 941504268, 154067712, 30259265, 518675449, 970905121, 933425347, 539160890, 654218086, 777678030, 27135596, 536515440, 641940479, 505428068, 137495111, 184096727, 921463563, 77530425, 87171947, 610944741, 401130695, 829957065, 712011461, 254156195, 592106433, 3178536, 909861919, 683676992, 671911192, 836376054, 291600465, 564561664, 86267478, 595213415, 739154762, 828644225, 947838610, 389031844, 697740158, 923753059, 110317989, 981756799, 425617564, 395377178, 583408252, 947426712, 425724830, 168728654, 953580474, 422961103, 755438460, 591307945, 332981709, 91903585, 605172595, 300895246, 939613098, 903238262, 639761308, 788521612, 619795476, 834117676, 268016778, 63083761, 317729661, 537958082, 917249569, 426133166, 258333276, 665295092, 492789168, 481059807, 865583773, 136579696, 576010529, 95311269, 662109983, 30159655, 415833906, 527410808, 127784161, 907309728, 20492066, 370484898, 904276, 430833131, 58156061, 440884857, 13512197, 596764219, 216277803, 915251680, 70112810, 287633300, 989541579, 861315207, 874906441, 151973011, 479738366, 593707531, 591293349, 181434296, 495686347, 590457701, 130226981, 511155165, 105362323, 115619176, 448545746, 610364315, 80535625, 605479066, 856468648, 555572550, 484893856, 125171029, 828282631, 24773241, 52260854, 270645178, 627339677, 221435210, 72539087, 537869611, 246661668, 647484866, 699982624, 365206092, 550220071, 373889871, 306383593, 947251694, 949752938, 947418133, 264335760, 579410851, 582406686, 472265691, 962600000, 371579081, 313490243, 138513687, 165377208, 205834408, 402623809, 798206125, 88959978, 56982090, 86692718, 973703419, 232437734, 342255950, 315941605, 804762126, 971189258, 874321994, 715677407, 284049032, 937082522, 807553455, 650281605, 674384241, 620330757, 982560761, 770613120, 998549460, 561243961, 206978316, 743960018, 636674591, 244374138, 354913062, 849750121, 5560236, 775851908, 951891170, 552525312, 731325023, 259997041, 649341103, 960377011, 862863567, 844587856, 499081282, 553632003, 111528312, 664470570, 433329449, 950270396, 156582835, 467344570, 821551208, 973350710, 808207976, 546381753, 304533747, 741355803, 401661311, 910541552, 301145392, 647120912, 45789386, 776339013, 367147003, 221556320, 872217147, 475358444, 179411142, 512822315, 503491767, 417096999, 358070270, 642118631, 927791154, 716250120, 218403963, 299720485, 158491193, 723273760, 409675150, 140829728, 536626499, 634305565, 906301950, 446195249, 896743248, 152971623, 253715324, 857011953, 535614701, 61738417, 231705097, 66900874, 91541353, 651221428, 850483773, 551974400, 751365263, 967786418, 952350687, 773850385, 832276273, 175710382, 479105915, 272421331, 614885263, 83890396, 642469862, 123833323, 402036882, 525178302, 359682748, 370481361, 417789550, 755528834, 427846241, 968624206, 445237634, 830368376, 724369380, 143458206, 726162354, 293792799, 371629214, 616436096, 556734964, 227344632, 403173585, 467748545, 550212781, 393533866, 451115325, 55262707, 802055255, 859575865, 816585000, 354218330, 204512506, 705463578, 612215509, 93132747, 890371178, 325539314, 505076009, 615630441, 660480699, 122975311, 889130968, 414285555, 324148357, 748688082, 590959740, 284735164, 23254324, 683581633, 253034571, 398837349, 118548164, 318088348, 803123585, 228070291, 95192170, 177746189, 612859566, 492260627, 78566336, 315961823, 557397067, 872223060, 749431839, 73620436, 141041980, 371349471, 557368137, 30577247, 120960927, 436466255, 973792644, 904100640, 863498923, 885874753, 795770248, 550714389, 82033884, 792653857, 211453518, 521111429, 380788987, 394726702, 599357063, 449599058, 843913661, 923894328, 840770108, 676040156, 337761751, 556117949, 62278243, 582806182, 53930493, 623148086, 909837281, 799999355, 874297196, 683601041, 182070728, 695985152, 926250732, 814673942, 500590932, 888021422, 984303811, 719737476, 36715831, 196811810, 575035046, 403494161, 346201556, 938769320, 804897909, 301390119, 1263384, 420122719, 429792765, 916404256, 111581760, 873140541, 950038906, 226356606, 737234919, 913603791, 348374433, 45774736, 43605369, 337694975, 663735286, 396273012, 523029091, 645052881, 9901980, 827909503, 363424956, 862248704, 763352587, 668719364, 487656899, 705948471, 36816049, 446095347, 945534157, 738815911, 604696874, 55298873, 399546161, 399965498, 550088877, 229565403, 657388262, 372691227, 509794106, 859565767, 426254757, 461473581, 143448595, 991993666, 449698783, 36297451, 307551354, 746037862, 56760110, 457741093, 467275158, 278275219, 411190092, 237528705, 913524326, 418922309, 838858325, 971669630, 864218897, 655550124, 553795312, 554222208, 667260113, 599528533, 50423070, 268646598, 594248142, 920513190, 6237994, 452349752, 991412768, 412199671, 60643934, 572047614, 66233451, 40166888, 448667264, 15419032, 702602243, 210456209, 570727861, 168207178, 262340890, 285605665, 635957969, 711011944, 692038068, 865686695, 181942335, 3121641, 604353418, 627436721, 682297836, 154939108, 81128403, 817245092, 347257060, 585119056, 607020795, 790584184, 589877500, 762381128, 27228748, 550811872, 885132123, 54374852, 88413412, 261238660, 972185056, 696056202, 378902383, 312024803, 334722898, 525460340, 572363610, 458633758, 962397979, 572762989, 342709514, 630809155, 285855471, 568232519, 909037856, 794616394, 983536228, 43496949, 557905365, 306484841, 832560073, 775740442, 881813056, 451487157, 25535871, 864757162, 842332613, 18481143, 529536438, 326361243, 589197096, 792521603, 532033640, 47389378, 873650406, 708989137, 768562210, 103823319, 65945204, 784496483, 445089304, 672162276, 404169225, 286651231, 878875149, 650505516, 253746733, 865322303, 52690969, 694002328, 427759579, 415746536, 781742531, 335424638, 430013924, 490079771, 9943360, 399062439, 886330522, 687814063, 976213110, 371372842, 214373639, 527264517, 12173787, 163384275, 546868303, 540323733, 946453458, 226237810, 300221862, 412840051, 669294402, 641936613, 292645443, 315519911, 728352526, 458226052, 546785163, 263462741, 403752629, 230281430, 687889384, 624818007, 806072861, 361930601, 408387900, 328418229, 769393599, 949767289, 754950199, 406209966, 710392146, 593523789, 728357475, 549387164, 688603670, 483819332, 417376673, 207546210, 744024663, 772600826, 483049585, 886248443, 271342650, 216252862, 991394591, 656530294, 165288336, 229045636, 256062228, 106408122, 445451532, 632815157, 34376587, 198212080, 65683699, 714932516, 562296394, 350467107, 681119163, 500661421, 942201613, 33436726, 318498939, 67704704, 772430469, 975816378, 608781556, 366532602, 140232144, 966361080, 660191024, 83634447, 640500020, 690918435, 331708301, 372438838, 565835115, 808066971, 450832573, 218217728, 164129506, 521411904, 376980265, 256192596, 507584828, 258870903, 944570800, 676599072, 258832998, 913984417, 767030274, 552320992, 647625077, 916283361, 671776634, 685255274, 843840238, 25948010, 527558374, 593422299, 747487487, 122825539, 890070207, 700248798, 95460173, 193876453, 970660701, 105032705, 509446895, 163352843, 413157125, 168637737, 478314906, 830921297, 207021512, 677862497, 740715531, 6624579, 307788152, 699906878, 559109733, 972270512, 441367423, 832030151, 660952890, 513246692, 872818602, 689747068, 56455147, 954041746, 914778521, 724112037, 255475106, 250541777, 273675771, 745664323, 109313078, 562029126, 114022457, 273834881, 23240835, 38183968, 723848753, 630001789, 4101864, 771778324, 789401154, 245822201, 482972685, 638405196, 929109489, 522489938, 256962182, 858123508, 738377667, 755198136, 453669910, 175600977, 215419491, 975388309, 1341551, 732049942, 228388576, 193950768, 779212415, 209200986, 197396478, 398819315, 570642256, 675313605, 512923638, 455802113, 751368409, 792319384, 717305022, 983090558, 81196302, 419595775, 369590119, 392057145, 225551885, 117591869, 10987196, 383340271, 432964419, 425989569, 187089116, 943909683, 14997552, 995605691, 278566694, 82083968, 555887035, 816305135, 890641557, 245274445, 807293387, 231259532, 198652027, 794125132, 975194455, 278487549, 707715256, 214745101, 690168077, 774917214, 152991753, 534900948, 810958074, 703728244, 123525040, 738863204, 66685481, 246327294, 87236325, 430163101, 318493496, 607515299, 809485072, 18415703, 145332253, 799981218, 988309539, 920810524, 580764883, 871679443, 459915359, 686331534, 165321728, 219913782, 83533550, 185509961, 926348141, 666759786, 636715482, 52262111, 660751248, 626666374, 18728321, 915280576, 32705376, 521892735, 883712957, 449411792, 617647110, 952209142, 963086177, 44147852, 168661743, 359588306, 469136284, 384452900, 887052822, 165877397, 972801305, 583042150, 817623663, 630806586, 913071020, 436023233, 773577742, 269239176, 506825173, 797471073, 425565824, 868596770, 61810602, 472328253, 207343987, 706613889, 808120019, 308556276, 462301920, 249197357, 594191044, 590255708, 275078443, 132267816, 975439899, 498830245, 815524146, 853737533, 799020191, 268883223, 616159941, 902046336, 710727747, 543802411, 296705630, 652437341, 852892329, 673803490, 247686, 56673706, 747240110, 312584270, 848628545, 772143589, 920017422, 966072022, 809240159, 61846261, 885207646, 554080908, 394269600, 235763422, 169984595, 370038207, 669818483, 154972286, 874095156, 529461364, 843883814, 326233207, 930683155, 248470639, 988953775, 64747049, 998167888, 503078230, 775109019, 170863346, 106911199, 992411058, 293989174, 816498418, 782357901, 122944638, 726658681, 322203367, 766625116, 290987939, 409187408, 361289236, 265700234, 84954305, 987115437, 875509660, 695407535, 545983262, 734854605, 26260232, 651892459, 373531196, 393156367, 385793910, 926144629, 940089174, 614626622, 422246667, 889034293, 10157176, 965305133, 581883975, 788785988, 284548600, 272184811, 58066463, 243875477, 259312663, 564849730, 920478608, 638830717, 187048267, 158272394, 670180068, 906875759, 579708997, 915136613, 506026541, 606981038, 713710218, 252223951, 937559665, 758734935, 748553001, 442900274, 701974261, 418254280, 858603366, 604774668, 145289820, 654766922, 437555790, 356495277, 79914321, 68588378, 457051902, 70511012, 736044940, 558895232, 46404403, 319273954, 315143273, 543934163, 349335410, 76277153, 978287821, 419814361, 633883644, 185978006, 226229967, 358351668, 226348145, 884917733, 461247990, 291757446, 303906649, 272725723, 361263479, 824464670, 642200502, 657355565, 48958996, 329164789, 151923716, 678265507, 475803121, 113527682, 906508381, 174862924, 200463375, 540042909, 685235858, 486276306, 539136750, 771690258, 36620006, 226525121, 100522554, 295468063, 61026113, 380704974, 62227708, 463393930, 424036891, 67605917, 916975624, 129336240, 932152680, 680110289, 628555235, 198525727, 206174520, 27346133, 424054251, 374591262, 305602197, 283387367, 449425755, 155646449, 244254216, 64199014, 798096446, 943440238, 530995282, 92045871, 381418275, 989047448, 27372176, 355370600, 279520839, 181715184, 863623389, 858314765, 48389427, 15393510, 432341180, 121917398, 620207161, 916690744, 248390926, 444214925, 548706444, 337216591, 220463718, 418488644, 730701174, 441820320, 704203526, 834603621, 460985406, 738874912, 908327294, 44640929, 212671255, 565167684, 393814042, 735288712, 721206895, 518482816, 381140941, 417664478, 807165260, 189755908, 400186575, 303259190, 69185018, 469908871, 881632243, 896067877, 549724019, 236553338, 929142368, 115036899, 324746567, 471249309, 99237378, 386588466, 737799053, 898789757, 536034271, 850726624, 696340173, 679982626, 700495545, 254139539, 506626701, 742061832, 36646263, 813532022, 267953463, 991772917, 631499621, 261717487, 948874681, 112702910, 358090968, 775308156, 790469068, 373774125, 689435158, 113845537, 944309723, 103086222, 587437792, 442505825, 955659299, 822479969, 75929908, 414705383, 881874393, 796882167, 121016121, 480429108, 683439022, 165153694, 477300320, 168437019, 928454754, 228697590, 625987462, 792553058, 543375217, 575761543, 493078687, 275735428, 934847132, 151158514, 310989741, 485921552, 835219177, 819143563, 202177779, 214149743, 93873331, 249551044, 304588686, 728550248, 419058857, 492166808, 104093084, 464246976, 67803533, 369570385, 719503273, 663796880, 435975223, 598361030, 609847853, 128919527, 761942030, 981399429, 117242577, 923181498, 55149415, 874572728, 303048462, 287943100, 998991697, 19115703, 173800483, 211059632, 189241183, 996595127, 792473146, 582352480, 911040372, 366724361, 639367351, 915483368, 95471672, 426834906, 963060060, 464101347, 68273671, 2341270, 853552608, 799688823, 871374119, 256375927, 68388439, 127954007, 959344388, 348976726, 959258807, 733111030, 265717621, 65985958, 709037003, 684260638, 300291856, 654566806, 134579059, 885238268, 780253265, 877448542, 561997523, 500194154, 684820017, 519513159, 914706809, 83437914, 170929289, 393202383, 324027501, 227735062, 850375694, 30205220, 681358596, 30410756, 237304965, 323070818, 797537448, 25616963, 632003531, 619469237, 184976183, 58537164, 112382186, 569446008, 809389126, 509179169, 267814615, 226133980, 331442730, 188321025, 111020104, 728640900, 542188253, 139839698, 450509319, 127261619, 839171984, 647038920, 484874454, 199750942, 357061765, 645847161, 7560695, 63367623, 386152488, 25348094, 697882748, 226412164, 557756335, 320851051, 426094125, 586781322, 480684615, 157268079, 51987820, 671715772, 187320255, 814937799, 730244475, 530772095, 649736669, 407348304, 805891326, 772586122, 306255918, 294921104, 696569664, 330613594, 818468268, 703868881, 574950598, 117436502, 513572463, 688949047, 186581234, 242668426, 968908492, 58691872, 416168282, 297907324, 120623060, 509176547, 507482716, 519724103, 85972711, 925203982, 158659710, 865364490, 507145484, 393922874, 733006847, 45269021, 830801459, 150396250, 616289141, 578899217, 734134024, 328702650, 901486738, 3984002, 5705505, 335620742, 855000392, 770307290, 417196881, 750493321, 971381486, 207659583, 608270963, 875266615, 102981449, 870837391, 952780965, 60328358, 966216793, 444654308, 340461478, 650901286, 617201589, 606312959, 53990111, 233465169, 772964106, 777510565, 289021480, 372706848, 4468243, 628444786, 863310035, 88591576, 591644749, 463273284, 367312598, 791848167, 741414560, 265217350, 635358523, 123654254, 317294768, 649501454, 275916638, 631786015, 946840823, 310399512, 932911978, 6134969, 678245271, 279317599, 168338749, 94673018, 732029643, 708384871, 345169628, 270469369, 529782520, 449719415, 917199830, 184020461, 697235376, 554485284, 967122452, 102779432, 106014520, 384104117, 269946290, 538913778, 307803560, 464639564, 395498010, 437344058, 986703022, 667762188, 203379052, 308661339, 658763522, 164882446, 579143770, 639969073, 875867704, 146243780, 294343177, 894153118, 123164026, 616824629, 585243236, 787645256, 406014529, 831892166, 764639558, 49795792, 709210788, 143288280, 944589913, 670451458, 636604746, 199913816, 44711982, 702901136, 154201716, 93412218, 184123785, 451533852, 799368906, 602098033, 625313942, 468300853, 907696079, 49015703, 498364241, 622175095, 883151545, 223907478, 637868163, 942719089, 615128681, 632838897, 403604492, 565165379, 716239468, 342928942, 444059621, 634646320, 818731926, 397470242, 560074853, 57669244, 657353947, 680634498, 203222375, 597496360, 712920749, 102248430, 741380638, 795476400, 554103189, 891518000, 175817158, 9768620, 166220575, 350207135, 563014487, 697126335, 468549836, 366168742, 956876988, 77989735, 16803890, 492091314, 983588322, 702807493, 798242058, 81318862, 631065966, 54338346, 326600787, 893063098, 889086426, 337999978, 402779191, 2458783, 742951499, 554344512, 271482619, 262694572, 838149233, 956610653, 86591257, 692057217, 17525753, 943735255, 395062524, 314626230, 582099639, 146244666, 646809172, 440147634, 252038220, 992018464, 901246598, 762522401, 109482209, 212162395, 811523850, 414871731, 303284289, 83065352, 749400549, 803430711, 719348245, 52087598, 657730714, 644512696, 250892956, 390838192, 99479848, 571583078, 973246908, 4221601, 463549077, 118180061, 894384427, 150331299, 42029388, 193556976, 650164029, 716808554, 291519439, 206855953, 818172063, 953712438, 600825783, 87612831, 62580812, 573101481, 194210151, 733237450, 511978659, 338943466, 455926923, 370071606, 434808346, 499904136, 1578530, 399562183, 168389909, 270328016, 519542640, 440260315, 683575708, 636335887, 999596771, 646564854, 932417922, 697126744, 78790771, 152306815, 206824842, 92857537, 284078311, 839099450, 872089334, 344332718, 957990125, 345750444, 68907, 997994529, 328067693, 197231849, 199645918, 882493255, 744858955, 199109643, 290856376, 111335178, 202902698, 874557369, 385046566, 405424801, 764338524, 47703822, 377321496, 819327790, 462801230, 657478523, 939564217, 454610966, 408545189, 564934958, 89637812, 120912072, 1397468, 28896250, 143746241, 560952254, 550611439, 424971782, 37651571, 860608225, 780839734, 514584512, 839747604, 858538136, 744362034, 342836008, 267373989, 164083168, 136206635, 54542621, 712295402, 840871325, 851807982, 210618207, 472060599, 656410677, 161504117, 172020829, 83201788, 207585381, 206603015, 455156945, 206722047, 69974517, 862025303, 317225410, 577237162, 530800748, 301477573, 974890295, 241493267, 320458531, 918989201, 27562256, 662807951, 994848492, 841821070, 847341743, 97426581, 15783323, 690064837, 235663537, 845169862, 212780495, 241237562, 749375576, 267117956, 396067730, 986884027, 94677294, 758314287, 612343787, 334176097, 978649497, 344532713, 289535441, 863771748, 780292134, 905735440, 984331374, 767835467, 484577913, 415025655, 233562732, 577436977, 631498094, 411937822, 243720234, 718281124, 348234622, 357780913, 806032090, 155982709, 797821997, 662597701, 867748821, 441022999, 627093466, 379189743, 427316988, 31447649, 928195731, 871290142, 854549495, 940310473, 777041674, 881830767, 387691683, 166935569, 815690515, 824694783, 589713099, 92969066, 504630088, 304821076, 223324520, 974525671, 218688287, 510634710, 745910286, 955522673, 632044048, 322930166, 880097970, 34515278, 711504283, 71601451, 244264714, 704987399, 188764431, 124126857, 115459332, 778999183, 239412483, 296992451, 400939645, 820803394, 510838401, 894170600, 638538004, 329849232, 993805125, 398988409, 373435678, 981191906, 123738426, 176982384, 871581404, 588446734, 233584279, 507733047, 130363082, 824197818, 896479518, 831463631, 502601821, 720694724, 874320792, 200164110, 680470011, 867493222, 435811669, 972594802, 78084604, 918420610, 981271955, 615459740, 977985162, 586062411, 592450158, 635372564, 860177535, 920199220, 23089846, 742623858, 329261313, 720541688, 662367095, 635773995, 63766187, 37625105, 345867822, 368097248, 216646791, 234222315, 173126067, 2071620, 528587467, 220441984, 327565990, 767413440, 527745509, 81060519, 153414233, 178751194, 781332765, 993186497, 950873601, 205252280, 790284397, 398784543, 642239700, 457778342, 221203745, 28567299, 104255973, 239366319, 87157699, 372515433, 356957866, 800941371, 496931239, 776772148, 218811710, 449516592, 644389522, 973904951, 682340873, 898454458, 369376634, 856666725, 117680915, 155395253, 197325335, 443504520, 297642696, 653241672, 419805916, 571509748, 251807577, 860343707, 78309712, 497395866, 3107153, 748825575, 731413961, 465235985, 255669190, 119253188, 286309266, 514654832, 403118878, 153962305, 734465926, 897969513, 876218337, 424556148, 865559186, 858128903, 816470609, 623725530, 28671387, 811622071, 340023043, 67653398, 259560838, 528559547, 302614226, 843356540, 528213414, 787376593, 624363934, 861175746, 732385330, 691425954, 452274065, 868411829, 828348924, 699045547, 239737143, 964540669, 92293279, 159939784, 379890015, 135661886, 334895896, 94000218, 609174573, 230248439, 330328849, 94842560, 339637926, 67873318, 988944887, 878506567, 19794548, 995470246, 666084354, 25579417, 551239335, 105019642, 318202489, 56476001, 259533942, 869954844, 598344990, 280861458, 478895992, 291294099, 639964119, 499907884, 953428619, 452867496, 616216540, 964507910, 360486256, 149818312, 978921988, 63549404, 880177684, 59325767, 105141560, 85447942, 45105319, 40611515, 671745231, 521846637, 445650881, 896525484, 645681992, 120681477, 845589659, 693705759, 751179002, 414504541, 404635932, 650645753, 60233135, 150991810, 153508977, 935103259, 612537078, 744874571, 315336833, 596066484, 946366709, 691265672, 249006225, 151100770, 973627096, 679801847, 779792602, 609946083, 47012720, 468385780, 878252609, 358464170, 119610670, 94491688, 297033986, 272684836, 699605465, 78903846, 45448882, 580452385, 468023517, 156289568, 300256527, 482437761, 210553345, 732433437, 475611942, 222760217, 660519680, 960968145, 743088201, 934102399, 822950111, 467904702, 955851820, 629357975, 741229226, 898602388, 349341477, 323877098, 3370871, 981589194, 362809749, 418254680, 146071819, 761196847, 530555833, 94218756, 39687439, 74610854, 700708611, 235963412, 720409100, 739320716, 139380333, 20883922, 598956445, 673946598, 577984877, 719561268, 318332982, 264908801, 830120205, 414786847, 359981680, 712490848, 782559216, 342884817, 788483469, 150667055, 515161439, 830993671, 131180703, 653233033, 199932422, 998782256, 550851713, 56702765, 889107210, 105835060, 365878083, 994724248, 701578689, 998097250, 696739399, 977726160, 589951820, 649439579, 53841862, 593943647, 641539068, 64337365, 422643129, 152695446, 770144832, 799898377, 24948396, 138520954, 852892894, 97623505, 408991769, 611441866, 528759384, 513815251, 766410895, 822196014, 472129302, 480211517, 601538422, 826405944, 5965991, 89425933, 611367626, 42250955, 304156653, 191240172, 732400231, 327439064, 900906822, 71728537, 426469625, 589779995, 192509071, 302283674, 157617849, 516696474, 678485157, 281091661, 329454561, 95268910, 644153521, 94801079, 855841794, 222102572, 334804812, 827990203, 31726390, 866361833, 58866571, 916363208, 769650200, 951277649, 299075917, 995494051, 417447917, 884690628, 46450626, 361101810, 159444281, 434850816, 713763804, 257559431, 265050242, 192719451, 871707400, 625850660, 331333056, 609134780, 803065440, 294130503, 792732845, 560797148, 905037609, 801867836, 913745298, 517538610, 11306582, 11666448, 429951744, 35232843, 313001341, 524616045, 960683793, 276379506, 321856629, 534291179, 822493383, 488501677, 580355544, 989899512, 574860184, 719093185, 879851375, 731772308, 516089241, 772815674, 185736545, 208002740, 837692494, 796014127, 932552741, 729162581, 109205588, 518288738, 400827588, 893633517, 320080539, 582645896, 371475886, 422654542, 482153896, 331995211, 103757570, 424415355, 301025149, 750063904, 166319671, 667304843, 816573121, 58614808, 294025297, 829954656, 551841013, 113440689, 98135134, 128442058, 71580984, 168569526, 115651252, 134326576, 381249905, 123220264, 140430226, 303237503, 824129782, 341293914, 152899672, 76031228, 448212723, 665643043, 264824205, 741073356, 895049321, 871199102, 998934237, 995097557, 129637324, 984643534, 775932383, 152039893, 825483102, 860267048, 490333641, 21540183, 343160933, 936014042, 201599371, 950713498, 488990359, 332827180, 866462513, 897289942, 568656003, 737351142, 800828306, 96500538, 61945808, 594716179, 782642897, 627804663, 710504208, 584172822, 256010072, 27171885, 725391444, 728620645, 675682741, 922224046, 555625819, 786157190, 178274876, 591567902, 834799983, 797605070, 912854415, 468355615, 587849032, 141148822, 949111403, 64487515, 330851688, 703273305, 795845490, 949830945, 636592816, 576956323, 913065648, 53300688, 828014535, 628294855, 776258188, 471283132, 175228700, 427002246, 357022566, 86826134, 750971578, 752503690, 747879904, 729587557, 57194809, 148114144, 705564294, 780724888, 44658409, 376553807, 351010051, 827314634, 223014764, 972283383, 444532966, 824418069, 88457936, 872443682, 114913775, 83977637, 764653092, 231165011, 20608681, 177179856, 267600585, 267258902, 626287775, 708405250, 817412727, 382852014, 420678103, 339265904, 943198643, 611435473, 530885073, 868538150, 15034382, 729507749, 951349260, 317900535, 51617915, 907449103, 928113628, 528236094, 283684244, 756989197, 677110172, 842528857, 889744181, 594318087, 726488815, 862874197, 489493965, 489405934, 67316597, 98866000, 285109940, 361527616, 400488779, 806982986, 356298196, 376818697, 843921425, 921633233, 836106511, 934971888, 752868871, 264423151, 693592679, 138937614, 502928325, 963975450, 33086503, 182449377, 774308940, 883844529, 589414649, 487075898, 548397798, 252721690, 450578829, 670608699, 173629403, 191237173, 669250687, 532737872, 516603373, 753751091, 677944924, 221484645, 112892554, 547682133, 966889915, 92134416, 322828514, 188733628, 988471745, 584157224, 248507846, 760369427, 726614340, 168240441, 123065783, 300883366, 139284667, 14223461, 698713370, 835325969, 82504760, 830603341, 273654735, 164417465, 769240417, 577140326, 202966501, 753934918, 140700605, 429454516, 741922316, 432134883, 320797171, 175764515, 506445799, 402213870, 896134005, 656069329, 549232042, 45606345, 71531685, 226150096, 960447635, 349492954, 946423836, 170700562, 553412817, 697965710, 275628366, 333726328, 614147994, 497438148, 410207591, 142940450, 603738661, 13058948, 817686875, 407495698, 346128302, 264338939, 888092064, 932054891, 603764741, 528540693, 356277685, 251656572, 618356585, 967637438, 247402217, 849212558, 349216835, 554656824, 541840395, 195022282, 672612999, 623597166, 336349675, 285410162, 942418666, 915617831, 70493441, 982780213, 655809856, 493168926, 43931639, 537368858, 685667438, 351755460, 211006045, 539548235, 691901067, 55877949, 673336879, 780073805, 433563414, 624941405, 769235186, 141023366, 446281745, 857415853, 574153216, 949938974, 742026155, 975112426, 196065775, 261011361, 755281867, 928212881, 388180840, 678268799, 502221460, 412393671, 95127732, 31814485, 182618077, 347339558, 761042505, 573728198, 593378980, 434016377, 556261263, 694166949, 190858242, 727246081, 172554208, 372745953, 90342500, 940558536, 918136389, 229006550, 692583747, 142118027, 904519239, 619156448, 592324657, 832848281, 210934199, 128334353, 63168295, 298310796, 761136679, 91230637, 53501624, 946698290, 217902075, 306020741, 565770264, 577575477, 897944639, 456642087, 338732458, 947033887, 449146166, 126142435, 22221990, 921990494, 258822261, 622657386, 643422912, 807370080, 522211941, 303364678, 417068326, 423294127, 629851895, 95038696, 794001714, 219637, 31008864, 134397553, 318956349, 268122997, 544785274, 312883401, 805836641, 514963266, 136136417, 322746437, 441113787, 823098437, 568681696, 804967323, 812299290, 143847954, 531427634, 553142495, 9459599, 241792518, 40585455, 496989631, 926704891, 9822542, 64754155, 822874185, 595045929, 319539296, 709488235, 884197732, 738723580, 475067370, 287698433, 808544423, 87884813, 596286810, 642756151, 554722445, 2779158, 218717735, 47228779, 972389851, 285158769, 476159527, 397943531, 523867996, 470831300, 283735772, 15848437, 667473104, 410508651, 69400047, 126264693, 809778158, 303060091, 631120722, 733608557, 798846594, 655257041, 773116415, 124383577, 344293351, 904901004, 56600756, 299740642, 615358537, 856973810, 75235638, 352503810, 115082218, 146339258, 254524457, 470189527, 268326922, 293783467, 718481027, 564772932, 63126580, 468300839, 6633465, 490367776, 415715401, 69765036, 150012818, 454308105, 575839271, 467482441, 211098170, 893693939, 119992600, 198534530, 711993977, 902632498, 129365800, 620292065, 581547336, 371526047, 85976173, 73713517, 78560297, 346978601, 894652122, 281440884, 630950779, 755801081, 668858972, 865477231, 587203476, 303366998, 811551394, 61659372, 287162279, 877457710, 722568882, 948636325, 53564515, 467661123, 828566169, 411419545, 486433131, 951208570, 43124601, 794505997, 489742510, 804884823, 496114816, 311906294, 9576813, 194314961, 517559527, 701904527, 883613989, 112829514, 717714656, 318652662, 278820780, 191625563, 783270433, 736548973, 562367511, 569749347, 227848464, 395119015, 420756645, 412714517, 644467195, 576469676, 184266146, 95941775, 567418534, 652941148, 14065729, 873606470, 61674248, 654846992, 320056500, 68495554, 150754609, 547746910, 492669687, 40560917, 582063822, 998873529, 910233424, 920299036, 956180933, 747324718, 513983214, 948699255, 415911326, 887714907, 399666852, 262209895, 137511767, 21208737, 4210592, 630028752, 955730276, 388998258, 635081035, 762499544, 582570370, 849637818, 354632333, 842977837, 848076687, 316064094, 686820993, 33759547, 228876521, 778579829, 997985999, 196216182, 198146581, 984510375, 852295143, 350541383, 387254037, 588995288, 86947537, 394365331, 37874217, 725843917, 237799100, 267591845, 617533426, 931253701, 506931874, 394113497, 920463756, 829137669, 543907280, 374341917, 965190496, 182471688, 716243882, 944548529, 400093572, 656860457, 159490958, 414433658, 1133657, 771175763, 954898280, 648763463, 108282510, 870034242, 194642228, 591411907, 360162705, 795994594, 721490235, 260268071, 725641022, 80553166, 25847589, 574976269, 17136731, 954794822, 8465676, 475056644, 302649761, 366454725, 591774324, 114862902, 263279541, 244898666, 361204725, 944713531, 100888005, 214329173, 612593548, 521593601, 956642071, 533104985, 283999536, 343045808, 503727083, 814164924, 524022532, 161235165, 11798242, 44426795, 701663488, 370962338, 638459874, 492856060, 838674304, 812038642, 55502718, 240080629, 652013645, 451130556, 665005986, 547826364, 69724787, 603978111, 150045688, 473450658, 950041346, 962759669, 192453746, 534437591, 545862325, 54804488, 757185229, 485566262, 642607902, 464674466, 147738764, 42068905, 300824919, 151519516, 996504159, 694330035, 897147263, 488329747, 805576373, 482721717, 606210396, 428908346, 355132124, 257022813, 662623421, 875381851, 244292817, 917456975, 718227056, 529976905, 761286582, 384366749, 581305999, 748677229, 100648155, 735620290, 553535127, 23160075, 454131603, 456290676, 374210151, 534624394, 809741368, 503636351, 864984530, 857384664, 110950737, 217686264, 241262217, 455933334, 439397140, 695086678, 900585424, 419653073, 496746247, 764354511, 617824397, 115785168, 447042137, 738205803, 530945607, 400830511, 875289412, 478543662, 373509604, 7672992, 246206958, 100028727, 209074313, 101382148, 78419105, 703193780, 968533612, 111944858, 448566225, 776521228, 38827038, 354604231, 310912124, 826430618, 484923211, 570647226, 745846639, 633507417, 983540307, 52117726, 165372006, 5775868, 134944571, 642328868, 941041311, 134960166, 940278931, 749347680, 152168028, 110984637, 598991297, 905839151, 779311459, 896963765, 4282197, 191336787, 269129671, 592492463, 954936531, 635168074, 612409117, 358324670, 33578788, 854618250, 747053158, 265920331, 280301242, 289853830, 413724106, 188826467, 880353526, 373097002, 614778318, 778827379, 659981504, 182396473, 717899527, 842626294, 369947426, 140034790, 283128122, 344448421, 688616258, 152415190, 368847622, 652677586, 281153275, 837251103, 659045755, 569329682, 429278987, 1937114, 184548951, 382714166, 699350214, 833387479, 453922239, 472901197, 706434259, 10495759, 474278570, 52246564, 795643674, 804915740, 361127791, 115215691, 3659034, 828203175, 885067979, 503459643, 603548659, 731404805, 302215672, 629501643, 547490664, 681029574, 223672637, 198429442, 987594348, 780921858, 33238126, 70882342, 28960598, 648602541, 286610183, 840856646, 237257814, 29741226, 519370401, 142946131, 715272061, 438169917, 68560476, 293986268, 911004525, 402964136, 659897726, 569516052, 596755939, 437859971, 239105066, 458501178, 743391695, 76354951, 672207912, 974431681, 464181423, 147066931, 848452465, 470922437, 659651420, 204842960, 518133525, 935672977, 15065899, 816346509, 789754234, 450282096, 20470941, 740578332, 298747023, 712798324, 382640065, 415431159, 324319080, 529754781, 95394586, 190017515, 912035468, 936131239, 680381125, 706296747, 697084209, 836346002, 971856503, 123851213, 175528082, 60801199, 457623982, 365232791, 610893375, 23826318, 705936275, 297049962, 909850050, 452714550, 916202701, 251705112, 790817448, 401410453, 529136746, 599232551, 704276247, 714104136, 422648499, 309706145, 608901045, 367096940, 892327671, 764897778, 228697170, 360421136, 486239854, 808690388, 731491589, 137614323, 533589587, 357539280, 394853151, 759705304, 32986699, 873239439, 126853231, 991454255, 95857925, 792929905, 862692323, 155476384, 985639271, 68435055, 969455727, 487342747, 230453217, 422524699, 607980322, 143061150, 718791669, 201023791, 569043225, 756178920, 88431838, 964198974, 321569686, 968812864, 941890734, 163057106, 454965134, 641361341, 227345038, 354460082, 709819714, 222731518, 832815951, 619780665, 699169121, 219023076, 361645020, 643363697, 766594352, 689353822, 25366558, 441616564, 906392129, 183330636, 479784953, 130806224, 437021985, 964564269, 120580864, 167622785, 761534006, 226720790, 442433093, 661978919, 337614030, 399867004, 205678868, 391467624, 675966443, 658882310, 589196965, 905733, 396088188, 919768945, 211762684, 867984958, 772392522, 242953552, 503705591, 616618325, 887244535, 264527228, 627215691, 268067873, 394370004, 714709657, 860538255, 470087594, 29122963, 733404065, 855207245, 588718411, 926776356, 382731419, 803974120, 830021928, 493718260, 932561944, 954116526, 370174112, 550630790, 925257379, 398457061, 26234442, 123648414, 731936633, 329938704, 432349310, 112057391, 489851845, 91275071, 60051596, 247216770, 297912447, 135652529, 869555488, 163554468, 682523289, 626339069, 620024533, 638860030, 525539335, 104397441, 44907547, 560383259, 538643650, 770193228, 421007130, 102030749, 51062469, 456874056, 40340720, 566975712, 592700677, 20994768, 971951699, 801224666, 892946094, 701127980, 970526791, 130981692, 406238794, 125611834, 520466253, 757168217, 839970955, 112422811, 937290285, 465541821, 155842166, 349222602, 3220927, 10054001, 140232670, 152722708, 838448122, 751930641, 49564261, 127942543, 853753919, 504541501, 23599843, 450562268, 458043077, 234790446, 287564331, 175840019, 531268895, 469574412, 809411734, 223960322, 267875077, 748105675, 327666555, 418161294, 966247641, 256488127, 576054959, 772787653, 783983961, 378629609, 960047300, 392476366, 932461177, 796796230, 453472823, 102688653, 370008857, 807312098, 543768454, 490931575, 772721807, 317837000, 652611084, 829044480, 740554289, 57236664, 438478706, 442963180, 839103640, 423026026, 975697732, 709150590, 138371458, 132007616, 654274111, 702687230, 987729992, 290086818, 496073391, 350577862, 986085278, 412829401, 891902960, 728976629, 93786959, 480675727, 961010631, 524213546, 105786276, 309969094, 675935740, 672996396, 88508491, 62667275, 232848785, 342476201, 445190547, 596047024, 219420736, 297190484, 386066145, 645430525, 851345879, 730792331, 603379070, 529387594, 86684583, 715110599, 937648075, 565471845, 864475769, 347386294, 703453078, 704594433, 404707610, 697299398, 838907644, 265789536, 191673419, 218721085, 562130375, 642817703, 793708851, 314465899, 392693108, 289083822, 247862464, 901650367, 254481091, 164175357, 616082678, 204875023, 548526858, 824321192, 667884015, 570298097, 119079989, 426905998, 176878247, 359361120, 189325478, 6878874, 624000141, 118733127, 727540637, 492024715, 278843100, 678556790, 365137696, 615515746, 693916281, 116252489, 692473908, 436913683, 575652790, 941932312, 207692389, 53285816, 688945837, 982714410, 271796105, 830735764, 648412282, 250903187, 831908222, 357191174, 49310981, 954310834, 52108506, 872961349, 33324033, 789036529, 526561389, 29670325, 632436692, 878700696, 147059711, 535970737, 266589239, 831254457, 602574447, 806757038, 639700664, 69907060, 468382280, 453122403, 132288748, 29105443, 338314891, 628393012, 901686238, 784377188, 100570552, 610189182, 430972347, 861731829, 658126804, 980400247, 546581738, 908287644, 658940109, 386357455, 411150701, 231618444, 661489681, 970601893, 667085880, 524724372, 810913997, 563686675, 203601584, 120633776, 805026761, 558720445, 864665729, 427431188, 922187669, 661693117, 201429177, 889821157, 931000381, 632507316, 69329096, 997956290, 466029771, 63699567, 35034940, 423349924, 99624454, 139071617, 416895479, 185402925, 894324790, 136194422, 338685815, 857809596, 659240085, 95335519, 433286985, 347115737, 999106925, 855941696, 367215628, 293295819, 298963181, 778810963, 573089352, 970619900, 816635811, 281601799, 394834303, 555777164, 109927505, 97724979, 866206780, 907187972, 389337332, 474535122, 277084950, 959474109, 721761588, 164702149, 800445289, 290702744, 695973477, 449931174, 95643240, 772415936, 813820160, 957781385, 242240273, 112522169, 884455510, 993321311, 39795590, 149671289, 294133110, 947000117, 676117910, 657735818, 331402061, 36948144, 887703781, 608279358, 966428039, 20701351, 52542442, 842539891, 593601247, 636541334, 723032402, 947120076, 474925260, 301020493, 274564763, 541685835, 823641499, 497184504, 219768064, 85515020, 559231929, 518269849, 509268664, 567646171, 781124565, 757331478, 800909006, 387308409, 318239624, 785295799, 129574641, 484317987, 530026576, 669413867, 285812755, 842786585, 105008725, 388856408, 354423872, 933367852, 568619890, 432008061, 107277729, 62540403, 717610896, 200272092, 367271670, 530939253, 875652406, 120878733, 171414619, 672178448, 312564906, 781909090, 330132873, 960441181, 208956082, 138966619, 695759545, 491780377, 175834485, 922150690, 674387961, 759811736, 613385073, 38338809, 625477122, 686819443, 300896012, 966998277, 782173044, 804873256, 237465721, 460661085, 686025481, 907903644, 371320905, 325462464, 649781438, 112005930, 303600462, 795469145, 66217737, 561108682, 870192785, 819196033, 266068207, 794062450, 555083808, 545661654, 682637105, 979593736, 379620528, 196755378, 253724380, 819565264, 326976332, 355735355, 471721333, 402298661, 675198106, 243027719, 622363488, 326616790, 574204079, 140618438, 640066821, 403362363, 350068111, 376703477, 610718222, 527006658, 982042598, 150158756, 108375069, 620829874, 956632682, 234044081, 972564362, 448918582, 401740556, 347301825, 962301343, 621662735, 433703259, 540042530, 168082820, 572623933, 303334385, 785167053, 42924731, 174666671, 995706698, 417450989, 950130297, 642052011, 406872128, 424214957, 366556661, 69574083, 25129815, 848261659, 118751441, 286325278, 315799630, 336618553, 313018489, 284212089, 132612650, 855062558, 180634887, 628077339, 848213984, 653218421, 75910787, 110468337, 696378126, 367146327, 99432321, 205334279, 778383678, 780275519, 865482323, 961420622, 465121525, 841010558, 359935239, 574182188, 934169253, 16010236, 423399674, 225236538, 196592483, 287534722, 112239001, 842869156, 160108472, 222383377, 727296912, 205079554, 94492128, 371827163, 268386225, 268180249, 761197952, 906237738, 635121138, 10269875, 97885476, 451404423, 450642449, 383977952, 187141740, 837252430, 24575693, 896151168, 262739269, 206000686, 317293327, 273856737, 993033791, 159801720, 33657334, 630165423, 731909319, 224567786, 392270465, 47647798, 239892797, 709632602, 205625974, 490068683, 859456672, 880770659, 420305433, 673332038, 96917693, 793673224, 743588899, 280262453, 281982897, 850715526, 12004626, 259523749, 427375317, 796845692, 595169865, 395898449, 469756066, 577620256, 485891404, 605200077, 733177340, 555808747, 330965340, 548131477, 590938568, 544604312, 660166928, 140285880, 60953882, 751856114, 996918242, 445216051, 298328478, 144501400, 441944593, 718209605, 908966979, 839703924, 528194701, 709884883, 610284515, 115247912, 257248906, 462729124, 627231771, 633321558, 229348978, 771555959, 456619655, 77549645, 582044302, 439124494, 167071770, 679736238, 882106808, 64734308, 533294118, 722092405, 541160376, 703632646, 48701150, 372328693, 993184002, 680391953, 489764894, 165009951, 969111854, 856849763, 204636472, 228411938, 118342664, 813410269, 998104264, 354246516, 963104919, 496518901, 653532428, 105712215, 335385511, 285794185, 954592489, 793551527, 798988335, 217626587, 602888702, 295637374, 396148892, 474750642, 826485485, 196684406, 332184133, 930592752, 250384371, 714610663, 361268909, 370678984, 142676247, 538220894, 46107117, 142432983, 971531768, 548439584, 214668513, 326016672, 5027246, 58431796, 547222747, 658868972, 605393445, 724158548, 940403317, 474635136, 149312970, 334507321, 627143110, 257335009, 634717859, 649569138, 69244685, 804003568, 675931402, 934806865, 368721781, 186518658, 462505082, 35294739, 227398121, 691888775, 762626198, 734504209, 874609055, 311254525, 114223945, 873304858, 341075070, 79497601, 331643330, 178552676, 298246201, 866419667, 188008153, 942825192, 933414426, 455674908, 182017047, 627627334, 597549539, 28355614, 222898578, 73833485, 964952915, 901689015, 373754801, 825118661, 391637783, 472585219, 780253683, 367924946, 376270106, 474644709, 302369796, 271004407, 28172173, 966664699, 203252657, 946919434, 727971588, 2245589, 760546598, 887777704, 737009565, 916625350, 414087101, 529949093, 543596565, 543299444, 145769779, 480783324, 449184693, 291742723, 658366796, 889398709, 363094617, 288562274, 821630406, 259855167, 512752487, 562945598, 338102200, 644232214, 256946394, 633996642, 525370661, 33172455, 908526909, 174608876, 554068394, 985509835, 940619444, 555187999, 908173027, 974159985, 114976058, 26443441, 403979630, 633352508, 466910688, 931542954, 401222492, 453466288, 214049533, 508247630, 278634399, 349822103, 781029547, 645177876, 414023679, 512839350, 169484490, 412149050, 33824288, 957852286, 529646199, 741507457, 503232578, 772065963, 892264370, 8947406, 82697908, 137668095, 2852904, 849592349, 497435310, 98461172, 771829780, 25960744, 886156581, 473566121, 86689860, 129748377, 510853179, 333874183, 523567712, 10314556, 249795431, 411596729, 598480288, 565206805, 569361279, 159499535, 953174609, 230051657, 919333609, 980647090, 996174497, 30394299, 874666227, 409061092, 442528317, 222590525, 583155077, 519457494, 414201369, 144943668, 124539816, 693051880, 776940082, 90303098, 721757588, 758471085, 953407680, 655544558, 591510798, 495513662, 965452220, 15022080, 995166582, 386301220, 137638326, 848855324, 297344879, 913451145, 73784982, 622117731, 844353260, 802726226, 724889948, 994568335, 21152400, 17472044, 563147320, 713374492, 56167206, 278488908, 846876624, 200274917, 209304271, 157474056, 407756049, 138225539, 606388947, 765525192, 471240380, 735749073, 49073890, 814041990, 134778986, 29976989, 307696311, 174417053, 4839077, 186591490, 734185409, 331483083, 618665147, 463022931, 38212157, 815941539, 559552845, 901697239, 959625709, 856423847, 573792099, 65699896, 773085021, 559819778, 389558730, 694547450, 563694396, 911950213, 723437554, 455617952, 556237108, 677131646, 470655810, 624128788, 362291335, 696337115, 4319286, 789831112, 102360593, 223649622, 409803996, 558711791, 56313319, 410440565, 93939562, 102416715, 91513326, 645374271, 22180918, 689868287, 995958262, 6453145, 225764248, 214270274, 35276945, 609303617, 77888362, 333135070, 747762253, 647703331, 632389298, 170587820, 692361252, 897138775, 756090830, 331208404, 186919925, 556365840, 849857942, 255200726, 518401486, 301867575, 246097724, 751026341, 536360098, 682935868, 798560937, 975189162, 514378573, 948399580, 400230170, 413560152, 79488268, 972784242, 769498350, 532179632, 602424392, 418426470, 3539060, 796967963, 934763581, 275346060, 723301022, 400699809, 71084551, 200205405, 137861415, 814698844, 476044897, 809347015, 957956574, 198823302, 656999627, 74644300, 802791591, 308037515, 7838495, 440891184, 693637365, 336530274, 842141879, 992338849, 186723046, 305209539, 945697929, 829742248, 716065220, 942983692, 873737553, 523012920, 757172731, 483806324, 556125032, 156508460, 275882759, 92293762, 83140028, 512570852, 544312639, 366360895, 381259836, 326975252, 765643759, 160095817, 825065592, 411661040, 249357137, 13081433, 958857723, 278251918, 513657861, 355571752, 670087476, 767003174, 944772127, 650837151, 427049776, 6619270, 367353703, 203376636, 306317891, 1574219, 194480963, 391327587, 379779312, 357023064, 619151102, 480493038, 453933779, 872691126, 258914608, 510306916, 278337386, 23404686, 121827592, 135583285, 980893634, 157769699, 418583658, 584220539, 384049183, 780467381, 23088271, 142547309, 625239537, 400576925, 421391225, 832463617, 738255232, 338180208, 96750050, 505806364, 138045954, 724381888, 759023841, 391598403, 949450267, 925061045, 198710580, 35870525, 972157244, 549759582, 476126217, 236440135, 306202374, 408247920, 20939764, 891880006, 85821610, 167697328, 90917284, 16647091, 499023241, 959309921, 874561970, 586743098, 23183194, 69851155, 467452296, 920179680, 204184571, 227619017, 534506631, 920786040, 408800887, 960641257, 202759317, 3129482, 663625693, 105683528, 356559967, 503308842, 592084717, 384391931, 834658799, 686625514, 993911238, 4233577, 727602095, 79724211, 297573747, 750082793, 353127545, 785414509, 704275364, 453402488, 764475194, 314395510, 132506997, 679707030, 2950757, 54287386, 390671123, 803092079, 744228693, 54910483, 610261248, 654656278, 946609052, 948600754, 303497517, 440393258, 414574996, 872516198, 295756031, 556242573, 371977098, 409970020, 831284447, 624923900, 985975119, 657000350, 796809078, 405275155, 465150582, 925259853, 776413105, 132161166, 945356898, 487769231, 319719393, 845229347, 278275799, 21878817, 465584490, 501143136, 152082008, 342771820, 692209063, 550910239, 500222992, 784666242, 374432757, 509711513, 442923378, 918791562, 88026796, 479999925, 478565631, 85945059, 607229273, 128544788, 873542187, 679833668, 459319239, 4378744, 279392415, 775426119, 177595002, 692491534, 806815161, 241097352, 971362104, 730695694, 533299300, 231383625, 794615852, 719016719, 629581107, 544245684, 358444154, 884382902, 466027572, 232896593, 164010543, 13089982, 599077283, 136229046, 879380041, 978578789, 170503282, 30526736, 311532317, 248611557, 996066247, 578720273, 665493614, 359299262, 667127102, 320009341, 740395305, 323713355, 372467819, 726534637, 148788761, 571880045, 470002833, 991285981, 162672294, 972359392, 53631243, 203525839, 834129429, 852402115, 813756719, 565099541, 223767809, 283135344, 783266576, 467115260, 92156013, 774134729, 90286569, 91752391, 325434656, 484201252, 502661200, 17963587, 587933611, 888943045, 202774448, 824163467, 661529510, 549969382, 388459458, 345468161, 164820672, 638102815, 654074007, 802434037, 838786049, 364745838, 183574684, 518836746, 776583100, 228810515, 563149365, 798231663, 288791524, 642483371, 104014997, 381243014, 705741351, 584985482, 25108804, 624863431, 825762092, 137499178, 468554989, 414395460, 515457067, 122206856, 784448513, 728539177, 295306060, 363859037, 236602550, 916139484, 135773389, 650975135, 786595446, 124381352, 907260046, 689215354, 858907925, 891476390, 898027518, 983683609, 606353435, 174243341, 102706622, 33331912, 295971422, 555725421, 257668599, 436994948, 491531244, 122398437, 127854539, 598291067, 152537069, 980037062, 610593887, 713551254, 992369022, 261403728, 768756430, 910664220, 716041643, 13661757, 466234970, 308704361, 286923188, 284633760, 818062871, 99180722, 37386448, 195620096, 567629247, 819093708, 668981645, 801552231, 284397150, 797421926, 941901552, 419296890, 197966811, 600660709, 67181366, 648253750, 670205920, 250078349, 80915482, 233085261, 384719762, 651049756, 614290614, 224673359, 82979171, 29575154, 141321246, 993798013, 24148588, 684954283, 579900668, 130733510, 321554542, 618220794, 92615640, 618773241, 88538172, 457328573, 291268588, 917444124, 48660565, 988973394, 370910908, 926283363, 253763461, 111479641, 338282730, 895663909, 312971088, 26802, 625826831, 251084935, 134430103, 450886215, 732464229, 944456318, 214377588, 792241372, 10195169, 434024977, 889394168, 959038815, 493498430, 159745882, 187006341, 832341418, 295586460, 447514348, 663361772, 684314717, 544418033, 268355279, 465353559, 310855020, 787686898, 717205173, 265020649, 265354895, 455483542, 223868546, 54040567, 759652627, 210444407, 201354157, 100774243, 950337243, 333931640, 62284682, 792180099, 975101318, 339204695, 369560710, 601305149, 138113119, 600665541, 420811890, 666523098, 102407005, 902331856, 833403447, 807673980, 531414141, 97647738, 686497289, 337605276, 3300163, 631877637, 139439707, 393694606, 99315224, 758208580, 250984328, 803269462, 595276078, 451522512, 514540661, 579881401, 337902242, 556887527, 453280464, 472095347, 106214487, 276030758, 806314708, 922010400, 481683855, 730166131, 404054580, 892682360, 370564146, 809637049, 345209813, 858425314, 657326976, 116948054, 176797671, 251918468, 342004658, 231406095, 331364575, 816159566, 290262053, 956496110, 127412590, 471176664, 822506870, 43834425, 310456497, 504823090, 546240870, 351208080, 947681731, 754246139, 119057926, 668268388, 584597641, 988090613, 662140513, 359528532, 227476437, 133257393, 495041862, 266905265, 301026194, 947678438, 257662721, 982073974, 295894169, 868148526, 472823335, 869859722, 625124031, 801839136, 106286369, 149793645, 143872614, 108376176, 867941587, 394752399, 296892083, 138559861, 122262037, 593001734, 168734801, 403268192, 758112454, 561077742, 390606545, 986669232, 73370146, 573465117, 768191714, 888590742, 328220577, 168111959, 765989875, 339660218, 904441032, 122691831, 949037364, 227891367, 783567634, 13892948, 327691837, 784244859, 12815698, 863503987, 466393187, 346145548, 189597770, 495948258, 303367441, 233534124, 966071524, 810083228, 754757336, 54611188, 244848272, 521553738, 827454909, 242223845, 297953298, 621936864, 221192911, 318038105, 872029634, 359305896, 404101629, 634749021, 688597408, 70412030, 712712142, 774793097, 268511917, 550139353, 372592064, 635103994, 865727217, 349983406, 808193263, 772684515, 58944972, 865841330, 471911518, 361147468, 868763358, 388469449, 615269031, 885875666, 213289918, 117169359, 277096870, 545184653, 182775700, 107907808, 443568105, 272949977, 270747017, 355312362, 471897144, 666390772, 273942938, 800690995, 466265555, 348609147, 322974393, 747861409, 103344933, 660685071, 904261827, 918037482, 596757481, 79950356, 362780382, 992067425, 717369502, 900405206, 663468374, 278080927, 517587678, 468955754, 447455789, 885275224, 593299556, 638006671, 51050550, 36377101, 495761980, 372314190, 724540660, 141606417, 922875376, 955449348, 76270425, 321658324, 967025527, 584385402, 253571850, 608759072, 897395378, 725180150, 184505949, 775218817, 305677702, 4249027, 119941715, 356379691, 353495162, 425620857, 999006031, 942800208, 896273841, 148828740, 946058667, 548405301, 384402566, 140651797, 339696053, 946172680, 314794629, 220722210, 402506901, 283906492, 780616666, 869936848, 772997994, 629147349, 296655722, 243536409, 819533180, 266234875, 226489337, 839776144, 693017088, 609817284, 315111464, 884664545, 155353037, 310877300, 54680380, 196773358, 556774326, 984740972, 758431238, 560064538, 772181737, 754645810, 859373576, 233027191, 959695229, 981614352, 263009133, 779963901, 256483823, 158677668, 821822801, 719531110, 947140072, 320394444, 944087041, 819255565, 112474578, 405704144, 78412140, 938909254, 516732926, 171326552, 974408022, 527904500, 696379985, 522391966, 424719125, 289937346, 730673738, 319431875, 586858522, 382900841, 989907670, 56152252, 545913740, 325102629, 224137763, 715427767, 410920728, 144374780, 265078724, 154050584, 722178525, 165020842, 345503463, 467229867, 254185388, 988900710, 255605861, 469533240, 956735214, 403077779, 456081089, 455794876, 260481917, 577925696, 332012544, 838022769, 500049551, 774286573, 475862096, 276106977, 358111800, 676246962, 654203067, 437049944, 12343988, 222032039, 870712925, 407377266, 445994122, 5642683, 838407745, 90643359, 280419648, 478947794, 88880796, 829822973, 353748394, 550935646, 928319945, 503834001, 33974940, 505590641, 554543757, 828240673, 696791165, 730512859, 950348201, 658043834, 359181896, 931219992, 275312372, 151770524, 103768511, 448183007, 216760426, 984856591, 352680696, 371634069, 752356780, 334591065, 295883632, 241791724, 925049392, 917605542, 683416392, 850228974, 703119618, 371370292, 417555927, 976414893, 6472918, 195166222, 330715471, 699646676, 817281196, 252278408, 477550153, 461256178, 852412563, 902199106, 935934061, 575260093, 35434871, 953915916, 253138290, 472056404, 313837256, 72522519, 796715584, 58964419, 111494638, 485520295, 105894144, 54586550, 434508842, 502390445, 620593083, 975672477, 559517397, 609179108, 381114569, 973594239, 725484197, 363313997, 79883418, 611684850, 357585828, 447136560, 264400872, 954723997, 790610302, 439964188, 965284268, 938234570, 914516363, 394196949, 215962244, 844699301, 131243425, 91110073, 350129940, 277181735, 590367044, 888674790, 485662094, 703094325, 796067001, 998124898, 772924450, 630491161, 156117716, 75823054, 439437286, 887856852, 605806396, 479044049, 302009688, 555824465, 40572426, 489316764, 755690364, 539470819, 80812225, 852597923, 852018563, 207989195, 183121247, 574248282, 400263922, 435233398, 824490208, 936536038, 747692871, 747906712, 271034753, 879750480, 669375186, 119591854, 601984589, 496812852, 326789969, 949256616, 687254448, 795797134, 474455365, 767467938, 233133495, 619067151, 887235075, 141798306, 750546489, 142636726, 774935494, 979394862, 79437563, 804039136, 408399476, 888838413, 887271389, 906435468, 410549220, 367148067, 413976139, 58221986, 232380209, 452369661, 526912077, 519022527, 882351753, 376551583, 721360600, 747371498, 584547196, 961394834, 771346663, 362818828, 339986708, 495936294, 385771104, 879230702, 12020449, 945487270, 464708101, 595951949, 656603673, 287565064, 326525678, 482604859, 250785428, 636034396, 404194865, 990190974, 986600513, 419457408, 199323530, 748779030, 126144563, 241888055, 773980032, 114079140, 929741969, 89693477, 569469818, 415866137, 740816017, 944457991, 874613185, 849528284, 512865830, 294796116, 23133401, 884947423, 362148252, 735407733, 612559768, 744346524, 372511214, 181228619, 810877410, 245586023, 488665387, 237835358, 432038671, 539149179, 497815533, 268915788, 971576576, 579362576, 301064230, 290176860, 917033266, 29462485, 388234197, 72191565, 440941601, 515626844, 936297964, 103111143, 51079081, 364754912, 525723310, 88979747, 552616985, 917621957, 266733375, 305434047, 136070240, 489539969, 642850763, 872367951, 686086960, 828421532, 365331063, 102483794, 396206422, 33486691, 332187138, 83007141, 682193845, 552803748, 705754424, 507223092, 720940783, 477006305, 809845547, 777064072, 577252368, 54622512, 224781675, 267060696, 99281235, 498912793, 18627661, 262626234, 456567614, 927211208, 378717932, 848699014, 582444389, 628876469, 707145107, 248622053, 388768778, 406682354, 642143062, 999840032, 576634783, 12264605, 639221186, 355541179, 282648908, 116899253, 753101205, 996055470, 162668930, 385589386, 712253667, 546639391, 641644389, 777408898, 380435078, 353768552, 775343338, 222060269, 940450664, 737215033, 969157217, 84916151, 283949064, 60154463, 417277305, 273246735, 734961966, 621382468, 618688373, 170397794, 712492837, 122209589, 766832737, 886727592, 611655309, 215534548, 905816354, 28142860, 672737754, 246052577, 954463651, 355829875, 774761167, 761926427, 939909337, 246542781, 256053330, 157790335, 756201140, 518328367, 824000285, 743869178, 403400113, 456646391, 437482792, 137225002, 373226478, 463566988, 535256814, 942209421, 633521950, 597698796, 702827799, 97708850, 228532632, 230312030, 613435474, 110817923, 9051069, 540365492, 33395274, 640995313, 361029618, 97705170, 242656234, 899616792, 482315733, 345853852, 746524465, 374749697, 285583271, 184674830, 255561785, 123551091, 959184429, 652683264, 78588361, 993687904, 288467216, 987243548, 250211234, 131780353, 267802457, 280014442, 8902426, 285272582, 651812631, 263808163, 725386367, 494493666, 741324437, 659460411, 635310573, 745155474, 865232066, 302327704, 457031120, 154039206, 168735173, 790575420, 175935653, 641015204, 677474422, 990437134, 883872194, 18774841, 611100552, 684269242, 90256907, 74131584, 682350314, 61377044, 865904420, 584691493, 301854886, 612421939, 505966137, 987933869, 245234953, 501866788, 389690949, 334967736, 219629919, 236499064, 341115527, 341144733, 589361133, 511432447, 292685391, 974072231, 895851884, 557175747, 711025124, 264533749, 624322953, 759069767, 977520541, 520090982, 888396703, 6245393, 189275154, 334474360, 480444220, 532317403, 33211212, 698013021, 171735719, 312157803, 876727998, 216483209, 17451359, 799232989, 579409125, 443384143, 887255794, 706234073, 823263626, 799504315, 850514787, 402853812, 347745557, 995957981, 841250752, 272957529, 45311730, 997069946, 570891917, 977145130, 392165641, 843439777, 515669568, 464380439, 813071744, 992604562, 89368902, 271186450, 187073392, 497462707, 429368051, 21731223, 50240910, 144115814, 762113915, 529077481, 739274429, 851913828, 880888027, 157454228, 930701862, 358648204, 329879429, 188977223, 373956015, 21698327, 765757272, 95667819, 338764715, 23309432, 528903370, 935243996, 175096977, 715414158, 374380692, 63702550, 831795961, 91692633, 622109365, 617243374, 746788571, 969943102, 126833849, 45573965, 528386121, 754734607, 971338666, 936756085, 638635845, 31574292, 461321534, 276479450, 988540069, 531170958, 352706105, 912681245, 593814319, 142078713, 111087291, 15396193, 422725927, 649168568, 85662094, 955858783, 152584268, 175087220, 183931163, 826324652, 261596992, 732178503, 997879745, 677623103, 541900014, 686020508, 929782017, 973612123, 387037782, 740729196, 526150585, 612281677, 222073771, 844240512, 130422991, 940634436, 289658463, 105884846, 625711263, 347649742, 126549078, 722576240, 347658075, 114871361, 277070928, 612895070, 408312527, 377951537, 206420059, 690978425, 721903482, 428101022, 548181980, 275480418, 779202234, 534324759, 286311008, 508360732, 741631344, 588049850, 544032123, 389117746, 95243124, 610002492, 898247079, 141061030, 888733741, 395938588, 602679523, 271260017, 345195142, 189361893, 273346375, 905208204, 383013050, 454392107, 562107414, 262103703, 135085405, 798719942, 217489654, 753014647, 958121147, 484746811, 805069935, 683413808, 507922103, 272659666, 356539812, 633580247, 645699643, 981036173, 409989797, 357814538, 27810139, 409146286, 512188533, 520417895, 782111415, 529957762, 375278513, 724690139, 223244129, 800591985, 575098413, 11995842, 478320009, 558097363, 810176309, 686846206, 753496835, 800384843, 271675480, 70251975, 832904145, 197103225, 334782156, 807233636, 960297725, 586462577, 585808716, 872719373, 487362136, 1017490, 355461951, 367457050, 948943451, 726381566, 331213830, 487227235, 3719645, 811601496, 28294986, 342240154, 852898188, 275045834, 883506493, 325783281, 592456777, 916893875, 706652303, 834321339, 746112266, 539478489, 405426029, 625799013, 122772121, 273451351, 485440160, 711648756, 426909156, 80196773, 826538411, 750189718, 672809440, 613760596, 419535879, 896941078, 192651899, 363673321, 555667238, 392663504, 260628361, 442144216, 188179660, 839792202, 475360007, 754322630, 535555564, 590023503, 855646560, 963158170, 24082058, 666604866, 139972759, 970981346, 77499806, 398931992, 249971158, 882667035, 217759178, 478478326, 722602719, 909612951, 978367056, 59189261, 848559009, 33300824, 185619513, 518710312, 311309639, 778802410, 95142895, 330412381, 420064744, 646367587, 101465742, 844891740, 319400717, 760804297, 811519489, 93753233, 516520445, 599498486, 290463574, 308026445, 528204269, 370450294, 902943040, 681158445, 447950165, 412420394, 291391395, 740924885, 464486411, 979866689, 605334952, 128791245, 512257566, 729551149, 810091736, 678873524, 495480801, 453094540, 840370131, 810945797, 428747481, 430926493, 943728365, 434604435, 5678555, 723077592, 41326157, 464134268, 39538118, 75900227, 640558876, 83699757, 111989307, 225664731, 695160296, 830128476, 927414066, 664294281, 240686910, 979395990, 256772269, 766952673, 683074893, 943286786, 460338228, 9605788, 329752940, 121128456, 104864118, 400361386, 200431815, 215542147, 669143557, 79053341, 197273425, 145666636, 200446296, 410944924, 703639764, 945739290, 497352188, 292254199, 552894023, 141902862, 404225156, 399825012, 836515502, 198552142, 120657045, 427408410, 126475413, 321960697, 310331765, 332676647, 204392361, 838163250, 229516936, 562921931, 784632755, 630354394, 99983668, 359890490, 678749010, 376655840, 828186317, 987195113, 6085681, 560361912, 233859127, 168468932, 692661358, 86180958, 260445855, 668259657, 200378712, 280222556, 710993367, 851239120, 918992344, 254612132, 646615345, 501622314, 525479978, 341623729, 201289413, 472841468, 512139528, 442060648, 195183264, 177838863, 904176620, 420774032, 938206812, 457443476, 47613629, 395725411, 219614742, 537347603, 652098378, 742719464, 288022048, 183776710, 506422625, 11657154, 60751611, 110432051, 377773769, 883583743, 791926227, 413690648, 91869299, 683624796, 743098704, 316373281, 877188373, 785262535, 396768051, 726397211, 756764176, 406539205, 359541203, 944306046, 128074105, 352971060, 401019968, 734743147, 714148339, 326892091, 519582726, 16013321, 79702894, 936171845, 311927871, 47010850, 925705623, 442745003, 952989985, 103323338, 277819893, 973733943, 258937597, 854299623, 820404937, 755922904, 69475546, 254915288, 187679999, 657014252, 630238743, 918303380, 398385056, 42584814, 254692494, 714157638, 336919220, 264001602, 792986970, 970560392, 144091544, 826216360, 840759195, 839790315, 393356376, 678671395, 117329270, 43315325, 15918321, 801713729, 108238831, 171865285, 781483779, 164116876, 846441544, 672724662, 155481376, 63922284, 336696061, 264874968, 159013403, 509361777, 900982756, 795157696, 402901793, 211037769, 625894639, 696929807, 157134370, 678640377, 112971376, 240332188, 450127994, 768783384, 126868315, 802417919, 743101114, 2713717, 510111391, 577884350, 106892874, 213931641, 771736755, 634745557, 536312208, 68190812, 821623877, 754680438, 953018554, 35774793, 67722678, 15036665, 106955357, 802129602, 48317984, 485541604, 558467499, 858951745, 191447810, 468837311, 708052857, 187957426, 543236947, 894189810, 917286029, 217928493, 893893469, 513733716, 784279412, 77468135, 479216527, 990982216, 130255712, 393138570, 394437113, 929742630, 769263055, 153798280, 924849345, 699144200, 464366856, 79219083, 794980169, 971795028, 974221082, 868378468, 988463018, 417226811, 890445188, 442846243, 690463043, 481216461, 711710284, 819654041, 723691412, 44929371, 141680941, 342728581, 108764085, 967624907, 497879764, 636376359, 609441132, 441159142, 823344044, 617770666, 433081045, 960054358, 268553828, 302466316, 694487016, 461574760, 39888791, 365762306, 331868916, 784791928, 915148069, 133202339, 291896876, 457584558, 652491502, 636574402, 401390072, 548770598, 726406405, 956584701, 4587938, 535288852, 670223822, 775389761, 95321184, 45666113, 273290591, 516781243, 186029701, 304314767, 339680577, 644849331, 529607435, 675420877, 721734907, 898478585, 924913501, 590477345, 737887027, 336933564, 681243872, 50047850, 302079952, 275906485, 968678182, 299927506, 727212133, 167450393, 342259603, 509935956, 838885059, 753968585, 273259069, 448827091, 176163644, 875587836, 567445475, 60166618, 829940142, 619000647, 379817563, 322670752, 404046573, 163417773, 83240400, 419452707, 178395479, 736822092, 646067341, 946086910, 955555578, 242260081, 861446984, 527608239, 363140684, 31708986, 648339024, 260082691, 968839562, 126373007, 164577916, 653431754, 132046215, 941994021, 702593737, 448856551, 362581690, 713145821, 929012986, 551702166, 263437201, 817851613, 233124971, 625941827, 314985820, 364363080, 986125842, 957966219, 488000348, 610311944, 962724305, 856114899, 640134825, 678965186, 105177491, 961234823, 519362578, 575175437, 17005455, 729539819, 381156882, 728458331, 89433920, 92427682, 965117299, 307375788, 827657249, 989961358, 813693656, 950615781, 184028439, 888844964, 910021049, 106953268, 176801172, 399026806, 286058083, 939555037, 931388613, 922370352, 213004839, 931617624, 772089882, 170192073, 857593210, 439223651, 652025933, 66481435, 876405731, 4151809, 773915370, 285572597, 631551603, 127000907, 724510495, 885586533, 803800306, 839624643, 708544496, 366602313, 659595704, 301383874, 530943457, 699047760, 215705712, 416135145, 758829186, 921278196, 82625709, 795489764, 738744414, 68377609, 544077841, 316972553, 425456303, 471982164, 471671679, 240094710, 825838861, 107667078, 100555506, 950513526, 15445381, 401219764, 639924783, 564044679, 176950632, 239825490, 822585836, 584629026, 910262626, 425314965, 928043059, 30554177, 368839451, 883917379, 308619568, 577623229, 22057351, 305992653, 830114833, 350250997, 948975351, 23059666, 731031102, 772422744, 289463241, 946855570, 287621226, 972487952, 870263909, 476536675, 606066330, 815261863, 713695365, 161340506, 519661090, 51464691, 611176860, 193219867, 724458632, 928006593, 685920743, 357730337, 687801920, 466983418, 433482581, 440866050, 199474823, 145119222, 703618700, 549221351, 365038362, 736138080, 610621897, 184556643, 109544286, 407808218, 700640221, 932534929, 598127245, 50506281, 284963042, 553054801, 349809154, 146911966, 397441806, 808457099, 804175425, 901530442, 977662625, 195639614, 326350474, 80782081, 429398938, 60042889, 882379786, 978309420, 409500006, 805151207, 498408053, 974776742, 224066811, 261353655, 681802012, 355747270, 157975526, 907499773, 827537261, 27351677, 81886443, 168509412, 591098663, 91143832, 339087277, 704302850, 762875918, 477454323, 439373427, 739064552, 345479929, 601736726, 440591130, 696966640, 518003836, 887735214, 567653050, 380620730, 598903407, 982963302, 784472768, 226152073, 808300929, 105347778, 227919922, 607368944, 865155800, 447089239, 272100648, 163609195, 33893511, 938239039, 105641708, 241190311, 530555194, 954540847, 20531209, 798688349, 172465357, 389953147, 134750204, 975246142, 468539556, 718668074, 877052911, 771823438, 297665804, 607399622, 395223881, 513505749, 535319277, 311528659, 910711820, 518906657, 806604258, 214601345, 750620695, 103671337, 70885243, 671083061, 458443279, 426597097, 606135019, 734861977, 322937501, 965094288, 295096051, 989242053, 436279985, 173137805, 752981335, 161132238, 895455750, 67893908, 727174769, 502297125, 27674351, 926670067, 815913274, 105350952, 82264927, 258901901, 241839301, 204098860, 933903085, 760841352, 212988080, 55994035, 862291191, 902689151, 847242195, 5734324, 407486278, 377169027, 694128111, 455605243, 47158401, 85321277, 867939997, 520124139, 357430354, 949211241, 979103029, 434038145, 290087031, 640850303, 874538746, 288939607, 162442570, 941626621, 936271723, 694249081, 588338570, 925339357, 578987077, 860252554, 372673889, 923941383, 644178638, 559583277, 828818933, 798887626, 19630434, 618180336, 358493660, 580450664, 129688430, 447359203, 963410375, 244357058, 139031669, 453141732, 864249762, 807588272, 417610410, 431009129, 186134864, 953320204, 467843198, 410159498, 431349590, 940868430, 147443459, 465142619, 258479198, 439810188, 883095478, 899255705, 860423864, 392578417, 860201054, 64872247, 42486601, 546168376, 885495093, 781238354, 197176140, 817146792, 343887223, 270293279, 834476232, 715914486, 351611498, 380546119, 336003286, 296624241, 2566714, 60124712, 404407247, 117907604, 798042205, 137855485, 17170262, 576611637, 231525651, 341080939, 150621665, 466088230, 224943824, 207226820, 743651954, 427122092, 815529447, 939485333, 46120500, 975120323, 719880192, 337465508, 986398338, 581305405, 541628405, 124001352, 398636064, 473002458, 84292607, 564251894, 367094425, 314707343, 448347810, 58354442, 634084042, 497938861, 25957733, 900590575, 259869371, 905027868, 499087127, 175908206, 897741518, 885585653, 185807524, 95669485, 145262771, 122124966, 936703596, 185879020, 296209606, 247157464, 338548461, 619394431, 311689380, 561498505, 639473230, 473351282, 259889704, 241274937, 250127947, 350293005, 540763304, 425785303, 981576255, 793350754, 928277866, 196477698, 911075979, 620918047, 932500108, 623033257, 516939501, 890922568, 566292553, 455878680, 318452481, 180566550, 32089212, 553619129, 955406811, 232375246, 52420501, 241702942, 396245062, 904420966, 671891103, 361457942, 615250532, 210356100, 627168518, 510082334, 150926564, 276599771, 147321446, 558181697, 35744343, 546931577, 693637827, 965973088, 898227234, 943476883, 559395677, 53569784, 314882472, 114682964, 633713602, 310501361, 193811544, 594823059, 223523780, 764782993, 884906133, 671678011, 106305238, 113036083, 266266529, 671138281, 496677079, 38353992, 817834925, 897560719, 553884975, 742670441, 262302764, 168411890, 245762926, 540495844, 93921331, 773011071, 61217213, 351432781, 114896038, 530269675, 143751758, 257819862, 431983459, 191755684, 644648568, 350257172, 121974000, 462520981, 649619966, 997557930, 255367387, 299235356, 659354670, 642055273, 51221043, 307052989, 81969782, 332702630, 427815197, 912370363, 987291946, 965145934, 75902371, 635941275, 131548611, 811688714, 781209336, 524058816, 272195831, 375213155, 376026192, 393272550, 873998263, 574638417, 91431605, 792268784, 210141176, 174921821, 964949184, 151230475, 344775484, 84309935, 60872491, 844427712, 31868679, 833086874, 167658221, 834886812, 628415840, 317054670, 860804132, 671143580, 106836748, 807129533, 678409579, 412135036, 756907980, 203426460, 411033710, 473050847, 285012916, 20264500, 752605311, 154461777, 556217686, 892561970, 33617493, 11090123, 839336238, 631513075, 633699889, 73590133, 218545835, 982961791, 812081633, 961688897, 811453225, 402400859, 973046473, 56132813, 54232922, 833254626, 333270102, 997027807, 460547367, 128125547, 143584932, 952598888, 445902039, 428037064, 622257895, 607371635, 973626683, 414039374, 568293498, 23387120, 59157078, 950966319, 154532539, 967990688, 256771200, 117494629, 426877926, 877058767, 686809356, 108905567, 705432698, 972517599, 5270996, 510926180, 504870938, 273427679, 921014108, 396985051, 571667646, 699368016, 33532848, 174548745, 825443607, 735464066, 809914687, 14934135, 777449575, 100408495, 749220908, 315002411, 768485795, 342472390, 641864151, 431465217, 661082676, 637230044, 289397696, 925200487, 428062887, 974463570, 361844463, 829096432, 119530045, 226527049, 478685877, 27335131, 101875924, 260780163, 204862891, 767819459, 58834123, 658800178, 961007694, 94917624, 676020709, 418883298, 852474348, 321350403, 657842892, 471801265, 831664406, 247742270, 955489928, 927010753, 307289728, 711969523, 221819789, 591082624, 66489478, 596877802, 304738088, 995400532, 278405993, 827974811, 33808812, 608530945, 501484895, 643574467, 49784961, 898705604, 776474727, 291371685, 319946487, 191980198, 620102450, 894552860, 330951854, 673125016, 856024353, 620028956, 228181178, 222999326, 86365185, 795566916, 380893136, 200172436, 527725564, 999446906, 671786401, 617240022, 522914936, 595618515, 2377179, 713860557, 162067420, 984999357, 332253225, 734887117, 140211286, 766094569, 141023619, 238852034, 870028298, 863868983, 873845290, 297117645, 135734091, 564713047, 611880535, 781291438, 721776804, 748910083, 944221918, 582281310, 525144137, 191665411, 826438441, 579824856, 853357976, 296668117, 777506569, 185868247, 160068047, 968203631, 55979660, 645378386, 82841701, 473322009, 415076516, 658832565, 416927762, 340465534, 545574470, 760628918, 372717547, 767678386, 954133897, 112689346, 516969288, 96201420, 893026650, 722808085, 710209825, 503913114, 919695537, 473711096, 585149629, 599438231, 607203514, 168259364, 162164976, 768975780, 468352159, 928725004, 821600907, 49430914, 180043516, 13244561, 100312512, 561416450, 61169736, 631722015, 52911406, 419735938, 514517672, 752211044, 428906788, 224630057, 993207600, 530433988, 284359055, 634052239, 257703792, 934804092, 898862698, 246747418, 787135740, 264510677, 426273432, 825477179, 65542105, 633669483, 519849379, 456066156, 160301149, 919596716, 108467428, 232295738, 394049816, 528086680, 772974283, 929497438, 401888349, 627455832, 289312524, 391102849, 331784605, 786911952, 619199061, 575234327, 598284810, 126190201, 826287156, 136632457, 46941682, 165917915, 79451986, 803843792, 933414053, 821004427, 968494227, 734138028, 910091527, 996834305, 714753434, 353890784, 943868192, 963277463, 291019294, 604484329, 787641555, 377194622, 108268318, 47145894, 492205845, 984106979, 166611222, 470385816, 269535614, 674921721, 605456485, 275780304, 992293404, 546713982, 598396077, 937508704, 286448591, 838625149, 699573137, 862811947, 526922443, 27251769, 847873229, 918729407, 371360577, 911928866, 929056823, 849921002, 978168154, 818366717, 999760855, 383259510, 705163819, 180448100, 416834211, 18053606, 916064290, 348905453, 674629846, 651340100, 127020457, 761569283, 723557015, 156274627, 516286006, 645216793, 973096054, 861195377, 846105633, 695956460, 429978134, 916719962, 989849218, 788417847, 83373252, 289743496, 883747108, 625327506, 242864545, 338443287, 301125552, 795464189, 999538822, 795727733, 802035225, 391477993, 478870872, 797478215, 546475995, 812673634, 650347821, 688715824, 395767161, 820128156, 555287848, 849065976, 831436407, 143822602, 641984840, 772334219, 753378747, 115329086, 490594183, 3866816, 756927618, 117975398, 208563173, 376965664, 931454961, 193548117, 962376940, 85716545, 441038848, 91715964, 155742797, 252507746, 150504672, 958655793, 764582482, 594192924, 954954301, 985670071, 179690263, 912457272, 463933579, 847563860, 311032728, 104480524, 521868833, 427736807, 363711800, 49504140, 818744784, 850162462, 178601271, 780623515, 287294986, 318120543, 632837717, 319404926, 256346757, 632683442, 636136244, 660969965, 189287537, 877709551, 23971903, 457527663, 871915703, 673682885, 623840303, 223267949, 351980883, 262029334, 357551163, 768529339, 39897554, 348977903, 936044114, 856952592, 219653342, 684924316, 968245783, 65971285, 689287881, 37379013, 397592224, 609315024, 156738086, 819139924, 740556143, 716722658, 647724882, 737505979, 634965601, 818594448, 141098648, 621848521, 549361261, 808602626, 700170772, 45494994, 922051691, 214588198, 1207175, 183412268, 832821107, 15566627, 603576055, 981587660, 237974863, 781032253, 632565224, 358257294, 872671467, 4732699, 720366406, 680249833, 234304289, 909116448, 926986870, 43508566, 960475039, 6618370, 649969199, 252236357, 705628018, 237578733, 713941475, 649333345, 591465120, 557009814, 117269814, 361095779, 389976269, 433640934, 72825156, 330572845, 140550806, 127388890, 383365084, 541377031, 53267365, 246988991, 843668754, 37437213, 673931943, 719174911, 923227152, 104984216, 627764762, 26174087, 237354551, 381361256, 253114536, 836790412, 427221140, 579137846, 105553114, 393439039, 11755838, 824630644, 713833443, 273525816, 213092609, 394439667, 962406346, 50538109, 738576505, 451702680, 402573509, 859584149, 482402133, 78797992, 90161172, 559118707, 997569871, 536933061, 221608795, 274719736, 195748563, 564351063, 667905973, 676270441, 719278038, 660836010, 769541730, 904019596, 626947657, 904272398, 535259471, 359011044, 260084721, 623924729, 944691448, 439824276, 465486292, 26732858, 952341656, 421061862, 955672787, 879168080, 689990437, 446155536, 552881746, 224936523, 968887261, 102593717, 799120241, 648277599, 752102014, 464757969, 969672124, 244196761, 477349655, 625520240, 660611936, 597056538, 770529278, 435998007, 513832673, 560674823, 847558353, 4947584, 693235921, 961433609, 428307930, 669869315, 208005139, 616726726, 783856851, 139813198, 406594855, 954066242, 683851476, 962394236, 338950972, 905772428, 628187660, 406960327, 53388860, 689899276, 812258970, 848990670, 63724121, 399172680, 353616029, 70940854, 332032359, 489135827, 666273900, 634025338, 41146902, 966613581, 723565441, 682872329, 633734213, 575795925, 148545626, 413978292, 922701902, 239008672, 837835118, 205738248, 807689160, 407699210, 172866539, 903194796, 54198271, 411780110, 461488247, 183827147, 878487376, 807955327, 934019949, 894051063, 153471799, 591593097, 514109595, 834471408, 759385361, 504418916, 824068196, 478248500, 373407148, 610747160, 388788564, 972510933, 823684226, 589811930, 651030498, 181963391, 965997384, 746225049, 895796268, 617112155, 44253979, 324470018, 514227500, 7864302, 731129196, 939372599, 897043553, 975603680, 596898481, 729775332, 917373017, 397615785, 26815235, 179233900, 57262037, 700157820, 610918501, 861454632, 525986250, 731723212, 651079262, 952188682, 787813549, 370030449, 422907912, 195761391, 38879888, 824143558, 56218488, 68251711, 801659670, 801784480, 999512938, 751373792, 360081055, 181771617, 25277191, 648470738, 631419401, 95041700, 302890426, 224550341, 120155085, 30840434, 395743488, 497890881, 101658019, 394572579, 259826404, 932692290, 717933302, 605016484, 601426732, 658736116, 88829625, 726696493, 691807535, 371722208, 433202495, 624396456, 771188146, 284701456, 700357232, 916259370, 942866865, 806629428, 954972266, 752408308, 235337489, 194242534, 136252709, 814256159, 423192980, 638645885, 558194367, 255952258, 356365221, 436313473, 382360334, 622449974, 91676908, 945212732, 247300108, 392682534, 80627533, 616996492, 913326655, 107938295, 743155156, 515130761, 77809785, 871572922, 400271063, 599999742, 968426173, 487364405, 882703450, 226958451, 336087451, 436595239, 468558662, 956127568, 565850546, 825522717, 436170145, 787454301, 36874946, 998697886, 925219546, 74653148, 583166093, 513744330, 898561962, 487741958, 427579201, 934264679, 640896501, 670546506, 212924157, 547463019, 246355623, 835353791, 568045093, 304387102, 200052484, 148853302, 980820609, 934953215, 771101087, 35167987, 855075742, 365284255, 983076031, 868807985, 369551005, 501907142, 749571777, 40521132, 189169655, 922785908, 617190509, 884284209, 588402879, 209669491, 198524640, 121559662, 864373136, 636638421, 30512733, 778609583, 924585868, 318253317, 724598657, 446906269, 493149285, 965363342, 664606174, 164673459, 80424511, 942218416, 395425620, 682230879, 65251546, 835311400, 212429444, 310172839, 35445077, 174852697, 246707530, 164945124, 892668468, 377423052, 209777489, 205322668, 756750927, 594688432, 587208595, 139605493, 748448721, 485348038, 920372412, 191123866, 75256149, 165598545, 881107473, 487998043, 230401296, 75630688, 301125815, 360817863, 9661318, 969745295, 407456989, 257376691, 690660950, 681970426, 149443876, 597632031, 634315784, 427034449, 526008026, 830854027, 541717768, 647972257, 557005501, 904711865, 65143136, 587646957, 788742182, 854461208, 333956035, 315967676, 437567091, 499439812, 643840428, 297174481, 440272714, 636510124, 190250022, 574458290, 493479689, 104637812, 461512625, 37129397, 6028156, 368816976, 631071910, 936626669, 835738849, 662364278, 854695704, 696176195, 977985188, 340456947, 433355029, 778826416, 638063389, 482771125, 998752777, 972997935, 151802131, 663306804, 218552494, 921328485, 820674399, 445813203, 771617768, 414413743, 478847723, 776242984, 985767408, 540705318, 191843532, 952773790, 509500937, 241143118, 38102342, 129254953, 201491848, 182249585, 754939230, 935774395, 656132100, 515474560, 90364004, 309658457, 578269361, 605431674, 898300472, 950256266, 287668356, 121069584, 176924909, 812118035, 513137738, 16303976, 940919245, 873201899, 92217061, 687532355, 463661264, 886187509, 896897466, 64844394, 565733764, 28513649, 898964771, 74059362, 512267072, 245469087, 694138693, 826373591, 684096351, 532038809, 725245025, 74301497, 280905977, 834827628, 388227964, 100666200, 388673315, 528473001, 801966808, 68433018, 555782035, 965348929, 469078078, 24443634, 397606845, 674128782, 498327486, 444916199, 441343076, 895468497, 300080802, 960240867, 373610880, 560241538, 848236161, 673961121, 185853276, 588874153, 657038493, 844343630, 2480167, 585431126, 944690393, 145157699, 160544834, 607702334, 144139106, 700401754, 868340912, 55392083, 180060199, 308981141, 618354553, 247612775, 341227084, 21889755, 476925288, 140807619, 444855041, 848210083, 320168872, 743204087, 866752897, 558004290, 912523124, 307491192, 273868373, 900985301, 945761991, 84084164, 647084043, 944609991, 402563404, 7409146, 272625476, 939566637, 351968239, 587101764, 74943514, 660717862, 475498949, 415106664, 864708774, 66410847, 754941575, 693235817, 239551758, 244585705, 342377475, 765517029, 244757598, 354281720, 981049074, 231184444, 524880786, 97932670, 503958229, 116314684, 684947776, 244086664, 611485091, 33746522, 363578446, 190341075, 323231507, 39230888, 701446566, 446487677, 947677430, 154793986, 768090685, 481684294, 256554968, 620622603, 5781572, 849322375, 483771366, 604529220, 653935096, 947645938, 3056223, 650624451, 689870538, 225082076, 297924363, 220812199, 909884911, 372967915, 972517259, 238740473, 850946169, 852002780, 734494956, 624785756, 933426680, 865901368, 928267683, 829489658, 661403662, 729099795, 820743106, 308359490, 880276370, 442416115, 930067183, 670390954, 14121003, 183286612, 901154192, 565654333, 77615201, 953432653, 376912547, 469506294, 32333582, 628868171, 504787918, 873819778, 756208401, 444313594, 457127113, 356654268, 46100635, 760381055, 107430121, 824007657, 437985269, 321820914, 720064804, 87269430, 942705591, 109702648, 116916096, 832338244, 511255923, 575628916, 456610254, 248238183, 837864258, 482017241, 857457182, 479079094, 128930238, 801216297, 619505644, 701100877, 219773017, 988396634, 156336043, 190594824, 579143048, 786822109, 450307525, 682880378, 102791559, 935283776, 528482280, 322661924, 343941727, 910207393, 739009469, 682424545, 838947490, 784726716, 122783124, 524244237, 312771085, 185621426, 694971037, 240863863, 437099971, 487335599, 568734049, 280154858, 74136308, 209218288, 182527611, 609175881, 70898926, 398786729, 923015696, 432225148, 925743726, 522512902, 624120921, 894885556, 30083964, 745798546, 4914983, 140750008, 643647839, 710176892, 78046433, 528831729, 9827353, 374852506, 98765219, 177400801, 604595751, 902856139, 519313344, 252154770, 721827647, 588308984, 863889284, 37418918, 723655282, 515992254, 487587902, 832395319, 69480212, 986723240, 25446161, 982218425, 397621113, 363413344, 726793462, 574569503, 750747195, 520894994, 259526135, 721863832, 839121116, 323677176, 456307422, 127185657, 288380958, 445660533, 327255313, 598457088, 386187277, 149000515, 847005477, 959874260, 536040611, 542095317, 765482806, 200643926, 299614478, 898144547, 838371801, 941417611, 805333261, 804891675, 895613438, 397295052, 834620167, 451145525, 617548117, 268313777, 91646986, 618543566, 278416236, 539879857, 201773403, 817062584, 43979556, 107182814, 460502347, 205293786, 570472346, 741054920, 942238881, 56682444, 311100478, 578991951, 928694460, 643874122, 640143286, 845584762, 613658672, 758148656, 706680141, 476062881, 127436242, 925548909, 315049030, 875256450, 408667041, 318813553, 586242290, 902403805, 868374884, 164174600, 226485674, 850711313, 464317274, 219502684, 490318272, 881915564, 241747867, 63701721, 406680366, 129215011, 468895363, 287494294, 946636984, 21050146, 60969747, 550733458, 842849691, 324242499, 596912193, 781749454, 424434579, 178692299, 41004495, 674634595, 522286251, 57284252, 568503594, 370045035, 123406048, 762060536, 280010007, 202381549, 74496337, 67868807, 300433998, 441124267, 603178976, 117411491, 346371312, 135865042, 773735568, 962196071, 698786137, 324178251, 982893120, 859072225, 889464000, 561487562, 57249630, 118416359, 517442560, 574244156, 535003954, 681828617, 499088152, 829089612, 847601707, 731578008, 649948469, 173447065, 709119971, 796908421, 343090023, 80736940, 717322927, 938418371, 240652168, 820221135, 114977330, 440943823, 266861999, 183565408, 291254884, 964942477, 873150888, 84993111, 685088032, 393777548, 550900502, 814429509, 416094659, 148066771, 940291909, 155502901, 694307839, 199423322, 816664625, 412356991, 937117171, 275822685, 349227227, 488496724, 907609660, 251857119, 252432108, 85834635, 299716405, 751263379, 129032533, 977858696, 164143272, 944530985, 367704191, 950471232, 561885976, 590034771, 957665940, 276341469, 984743161, 883569545, 922257260, 436537005, 88453223, 267487071, 813864675, 486514815, 984378401, 650318652, 879919622, 350888252, 362667384, 672753035, 619706288, 587470884, 777920127, 35489176, 114275354, 934279301, 590479505, 446899825, 287350783, 741461454, 781631723, 167893318, 743221274, 19905201, 900560752, 891458656, 902815500, 220052673, 559740574, 943200464, 73496681, 881438704, 532888905, 157853392, 181372819, 62712023, 888291996, 46142742, 838887694, 453094925, 987731732, 901442193, 942551074, 14708937, 693715975, 599148692, 902463761, 954645400, 488605043, 840740407, 906431585, 57035546, 944142827, 658390331, 973000137, 484657738, 602318045, 174683528, 821470866, 666060025, 213223373, 702553254, 374763623, 70925328, 462735975, 4963777, 393271322, 33126199, 175304468, 784112547, 653297880, 101946138, 604505608, 763134235, 121476732, 291760134, 99933519, 470390410, 385678615, 414740250, 582566278, 908953411, 809175105, 993170623, 716432181, 529445977, 474074487, 951128290, 669483238, 660975828, 934764, 521790961, 799582352, 319706284, 603501529, 20971879, 587852367, 4647391, 91558411, 400145715, 209310146, 590326708, 239301226, 984567849, 988646156, 749131566, 786090598, 716647975, 883415758, 437647506, 289455108, 869099655, 999389673, 826147277, 706399713, 915240234, 75100787, 971326337, 952019079, 416150118, 688510843, 927119757, 586260822, 259266884, 717962809, 380194, 109645369, 886433956, 641107360, 839421904, 516365416, 113583376, 985757471, 340558356, 486099838, 942243326, 543138066, 9681700, 452752238, 216763802, 394438469, 594669426, 671698464, 777471299, 956246584, 822217430, 748674864, 420655829, 647762634, 948848938, 439557848, 409758667, 551719063, 393401735, 497154005, 971413360, 10557683, 695318102, 614349571, 891404031, 44685567, 627303470, 886016060, 366234776, 173158491, 451880355, 522587020, 153416109, 366230689, 42670862, 609151337, 468760139, 9713798, 95285851, 870835162, 437214056, 615722391, 370675022, 682115251, 18874212, 505322959, 624290943, 469611322, 528990801, 804916708, 671689075, 306923636, 363348618, 652921476, 842603530, 941782105, 835773798, 941256054, 857560835, 975022510, 313734699, 514068700, 607447705, 863621152, 845502734, 900274358, 55533445, 522348910, 921047808, 603994503, 536247285, 674708907, 572513695, 353944596, 865348045, 673528916, 155351017, 189817410, 977733505, 559027268, 869436500, 563152336, 102797034, 538876163, 116771134, 607973650, 104284662, 520102360, 734840276, 581836419, 926307392, 797564685, 596498449, 410502027, 106543286, 734839042, 38286107, 126433475, 885677202, 528165406, 909458851, 745930957, 801474807, 869048610, 401583996, 411784681, 413089678, 90135217, 462376035, 554361729, 545653740, 976497606, 125768206, 260077051, 631436559, 4255713, 114013991, 71790325, 64693169, 917321588, 782241657, 465142061, 713925770, 143951767, 78606601, 572799935, 478986421, 296773156, 455941631, 746018558, 36184207, 400143913, 584834541, 250644101, 331064754, 963541663, 777664141, 674516108, 593926417, 579953178, 270193848, 837637437, 816704663, 179325218, 963418067, 37390240, 282376946, 673492893, 456319100, 819078306, 160604707, 799794633, 782675304, 188898596, 505237529, 514339591, 362343983, 570986924, 769635288, 253783184, 384809138, 509249171, 353275101, 843335284, 753499370, 239022196, 96789623, 102658832, 762291499, 729366620, 852725217, 186026388, 905257127, 516468109, 531795733, 637865091, 548205127, 124917846, 392697266, 266808452, 298922740, 140994807, 26289693, 896246548, 386701882, 154511906, 824477495, 403024478, 697119392, 610453794, 320892936, 342943112, 240640213, 843645975, 933079921, 316376429, 383330094, 972591519, 575846044, 860006247, 489374186, 229435402, 299138462, 697543234, 176585257, 564024825, 134148676, 649977751, 99237092, 963514428, 366660178, 308918349, 429367231, 413131748, 351623239, 412145604, 62901370, 60629614, 296801846, 892187863, 231511621, 331919374, 797818955, 817466610, 973242761, 313016255, 15083681, 208522392, 902869917, 674390433, 318046321, 378094528, 269509893, 661458627, 851518644, 996914007, 333077758, 416802588, 84963490, 286514519, 31519047, 417853246, 824049685, 266523000, 917602453, 577186800, 258636910, 777716422, 906591023, 688262327, 641151842, 610471466, 136195464, 739350512, 756156376, 793904676, 962858006, 157907228, 13846592, 452036667, 751835294, 191689501, 840349703, 596773783, 672022149, 121454966, 519345548, 226209036, 932405741, 828865447, 134222604, 924442604, 213348592, 201120066, 196916968, 462877264, 903933621, 927688394, 634840956, 934925974, 274062903, 883273363, 499224725, 929511940, 232882108, 892671121, 987073827, 383805138, 957811226, 460942576, 177874871, 448191102, 843537103, 839776824, 548238253, 381297159, 813141667, 682459961, 107956482, 305809004, 878190334, 957466759, 771702292, 892324788, 83761116, 979989717, 858558342, 12324619, 584713961, 632603432, 793103119, 818382417, 911518576, 573204907, 518308168, 585232060, 629786127, 167729863, 35663000, 783543597, 373841326, 612253794, 271258180, 959649529, 918076882, 76761830, 100087304, 869145763, 940923630, 383083983, 554079323, 308897912, 162766157, 468630272, 477367283, 681394469, 647612580, 734275699, 328886945, 558843319, 235877977, 955091666, 569665948, 159391056, 174211264, 229782060, 27248555, 794629141, 949167498, 917712653, 285051763, 227365684, 169919545, 67424834, 199765942, 991531232, 767072611, 931804676, 146580901, 829650770, 423005406, 128087048, 323460565, 29972556, 843882118, 887100917, 117373248, 401938920, 270583421, 294264399, 392411707, 139707496, 728395103, 264369435, 323131495, 260398833, 993857929, 297649320, 469426442, 651775118, 343251262, 853899095, 355949795, 278161625, 422610536, 772702500, 54860979, 240881252, 38302286, 331563411, 961005333, 633361220, 805832562, 453392808, 564601339, 983108230, 806809648, 166134666, 842703047, 626500683, 494130618, 909672854, 172894387, 223968095, 315976111, 219639208, 104802260, 638272872, 97307735, 614818366, 388482436, 427882619, 316331429, 279162665, 68974461, 814868406, 735844964, 502646216, 402971636, 352033806, 713758100, 817558798, 399537930, 256053203, 550443126, 215434418, 873880435, 149774910, 646716515, 516582746, 118423161, 928013081, 655259572, 192166919, 761899800, 625584209, 790269049, 898107678, 355261320, 151017956, 927183660, 901046989, 978125493, 699665128, 506121159, 940067840, 329307444, 484709189, 179078036, 367539878, 196912629, 598191365, 650968175, 507455546, 140662363, 317944938, 860691378, 667804426, 118983643, 694871405, 756790655, 339504637, 191411358, 684972275, 805076591, 72954868, 954324318, 444926076, 612635024, 80472025, 165838897, 110288979, 607855292, 765549807, 705723348, 293708374, 601713690, 752720479, 722780511, 451171514, 760135362, 506773487, 511147268, 904944281, 50265339, 109021529, 4267929, 578041343, 666060082, 834698382, 951796527, 794400567, 211340585, 473879013, 578093871, 426855378, 655888390, 765773157, 423335472, 536784717, 785431551, 590665872, 689589066, 826454684, 903398157, 575670300, 662842376, 340449422, 464776110, 777864185, 536762891, 893089860, 467974665, 802030318, 952092388, 52364860, 673661390, 186820208, 785864861, 729537468, 817344929, 897462045, 300583856, 256301628, 654014091, 364647211, 107568830, 264616052, 836594567, 377392976, 69716454, 735663285, 628502636, 245416092, 987627180, 75877844, 836608087, 148890969, 466402640, 184824552, 161896476, 380077987, 738116693, 925632885, 989602071, 257997609, 939828880, 253287524, 959838798, 110731292, 34345880, 185899651, 954248550, 863393011, 282286369, 207447318, 837122152, 586802655, 340496603, 102479075, 826635185, 825281817, 650698092, 33438612, 12950803, 562501837, 95872077, 447346827, 384222998, 914984976, 629634895, 737509610, 623434359, 521877612, 544115447, 409638843, 571303277, 908284728, 625212919, 777663797, 261398798, 132267048, 134186971, 651437285, 501901760, 805973067, 233503060, 98848505, 486180288, 836815994, 479038499, 332036327, 854056013, 409256242, 602157300, 335614059, 52619776, 848193246, 604645290, 520063535, 351728791, 76632589, 211890222, 906157746, 924511775, 107446708, 159973930, 820489916, 231817059, 601301516, 440560157, 12933268, 669132670, 808373610, 824890609, 236442215, 20632954, 443156108, 44295285, 203761471, 468886899, 972075431, 301578469, 856113551, 879360048, 459737209, 750956022, 552423090, 449821356, 601667332, 460643414, 240050034, 940790192, 377402125, 450829162, 716880651, 124856574, 828419438, 417615779, 895166265, 348247944, 593636929, 101763891, 280498599, 242198648, 426199413, 368740667, 317882355, 976732846, 591651874, 286155702, 281600154, 55163115, 393734114, 268209051, 934561909, 623396324, 16024633, 225243403, 371860202, 284531835, 380023600, 403365318, 68510897, 297670185, 308351529, 476249297, 895546457, 556620130, 791123657, 159873121, 200766959, 511763872, 522614366, 17855435, 769557196, 272261992, 854397103, 244616186, 935456379, 42497208, 899213379, 313032796, 552184006, 866951889, 902324592, 230805713, 592420377, 120134695, 759794998, 342567821, 741666931, 732115005, 164041702, 220861529, 519368132, 633132168, 827106602, 270850742, 61171375, 988732049, 179100796, 4116131, 737206092, 806677693, 547901929, 446283571, 705743409, 126827665, 941666643, 270061621, 758050818, 338636704, 584054820, 173499400, 679959085, 794822335, 504839491, 101993911, 712997236, 54022831, 356154960, 639216695, 827723394, 906862441, 448645233, 248173559, 830456851, 43732023, 527020999, 99396276, 568932629, 931437159, 435045081, 200448241, 170900820, 31550315, 347148923, 586320307, 759055177, 663458515, 238620462, 634476728, 561748719, 743604791, 761189356, 494322720, 777109720, 306584257, 595176244, 909819988, 961858955, 447951857, 472902925, 373303117, 62459921, 801078357, 534818861, 566041820, 836457142, 115282334, 200597818, 102503136, 64190551, 840102170, 507313202, 391873976, 550278521, 106582782, 835356033, 27094824, 971043462, 511336849, 502736477, 603985111, 563172451, 574779458, 455220906, 488767983, 587019108, 968645153, 635835414, 881790154, 671198453, 797906853, 215629244, 918612364, 727968806, 438823214, 42142929, 780152617, 639350136, 101995894, 398590460, 475663585, 824791263, 657178983, 135528029, 279498641, 660433376, 870857251, 774853172, 977739928, 310386265, 148840556, 349581905, 849222426, 173199358, 626470090, 246250023, 853882092, 523811058, 616608936, 495959373, 798981276, 90332676, 883235787, 403264837, 581738883, 769665944, 727371298, 537907107, 768491552, 752515650, 233036088, 911944660, 99981895, 41450036, 177399482, 301801618, 854393684, 934005902, 957474632, 508397381, 612284548, 348583540, 651475609, 55024198, 253751100, 545903471, 131147411, 471544796, 720661855, 178624167, 774345914, 424752084, 791510751, 634461842, 39584525, 245819012, 97869673, 171969118, 300823256, 804693513, 89783357, 173472196, 738343478, 493500133, 357318864, 971319427, 988457794, 565314232, 948141068, 329518695, 44448860, 481853254, 924040126, 925020206, 505088956, 221730999, 328120468, 767091432, 806460938, 69577281, 45516403, 14373613, 8646318, 656633629, 642741126, 129039404, 514163459, 480839984, 835886102, 523609674, 714052681, 364704966, 799203845, 17978030, 25935293, 777726980, 207218216, 336260304, 253346013, 323353766, 218349471, 718104495, 593713853, 88495678, 549103385, 474582696, 424785846, 792395498, 279166132, 946156444, 505834506, 800482914, 396683495, 841978742, 119680208, 428740148, 292973238, 55281897, 271197487, 318292491, 583571859, 633693597, 816216556, 302547419, 430050107, 945571352, 751637669, 466472072, 503772768, 964583777, 932580679, 191315269, 256700926, 316742748, 885467729, 604433566, 473810862, 327115194, 394125865, 789943308, 978761074, 978630944, 404934949, 681849049, 410066015, 292161928, 335403467, 720125188, 304386924, 443506291, 938601180, 662002257, 879055663, 907479831, 183027987, 363467528, 860809152, 911079402, 771687594, 685286992, 638222487, 790109622, 4853430, 69124975, 408048088, 371813737, 107931039, 461700838, 674334374, 406202640, 913571569, 280851934, 257820760, 674020524, 533667161, 257210687, 891722501, 176277590, 565719126, 955447338, 505239267, 835627754, 3906038, 906504647, 959214439, 905993577, 117496797, 356705577, 413128754, 567644214, 396003573, 28244, 218271991, 142710070, 33012061, 702230754, 304521700, 529303569, 267336793, 268385732, 805257061, 535257034, 527007280, 241196995, 68766400, 854532469, 68470673, 985697767, 19685662, 995204332, 920535616, 589783340, 93075080, 488358133, 81080741, 69871556, 124586277, 564908852, 651407181, 779670132, 359191792, 562398944, 173737333, 328658137, 456742637, 60692810, 966077745, 593592970, 521157046, 196414849, 665860347, 315517934, 898675595, 348074581, 149698369, 195790409, 2782647, 774829277, 391730618, 307588143, 827863219, 558016826, 137369112, 828384337, 615086152, 748536570, 693716847, 311401976, 768308743, 370689494, 486979285, 349271534, 476551299, 552911081, 487882570, 550691372, 828234176, 116663976, 247611953, 142638662, 321303569, 497615768, 135282842, 475910355, 758003902, 522009435, 248539714, 803610662, 454617137, 497696447, 152133005, 123245609, 920403696, 554492744, 799622979, 348653403, 22324013, 866606414, 568598040, 280229000, 346339736, 228609493, 972242399, 531356648, 433706771, 342108644, 746974285, 700105442, 625504496, 853752434, 52844995, 183991145, 495669693, 434889799, 987509580, 363660962, 454550091, 287331365, 140594500, 441003799, 354613915, 767687746, 109051469, 93625101, 649090790, 395707268, 514486382, 420958355, 208905031, 788948443, 793401454, 848280977, 188656495, 832146816, 946141126, 771205804, 992244567, 330197294, 842103289, 489089040, 684322339, 223646171, 140864782, 515566405, 208626336, 10244747, 542045352, 575748788, 136828945, 969214219, 365758634, 507883341, 35393056, 112057917, 540202328, 557945483, 961684434, 14957837, 422388736, 383256063, 330583070, 993815066, 482867614, 692583121, 21201994, 938511471, 747730065, 746426309, 156314028, 574649662, 971474352, 773835223, 820596839, 131539172, 70534909, 386305608, 246383468, 469524275, 967507870, 445523506, 529431823, 225653792, 502677538, 187046411, 907807775, 22868511, 118241441, 355448411, 987684315, 803241387, 4722750, 136524734, 58027273, 139563084, 161923827, 602923401, 2079035, 20327479, 407720917, 709010916, 598660990, 911869444, 823752003, 301181110, 88351652, 883439663, 469907099, 386066389, 548625868, 252585316, 334093271, 30844916, 793996095, 983045835, 585724984, 287730, 163279379, 223557408, 518227493, 308831002, 800744514, 266959816, 557610561, 219319622, 520496859, 804234974, 905325615, 797787841, 660477827, 544798023, 978585350, 514661096, 746711587, 991402267, 6100414, 935321909, 614074675, 679640880, 575175107, 640805405, 1440207, 869422700, 606398154, 844716013, 320098844, 985435831, 193409833, 122812626, 858675525, 183811430, 608468523, 326981665, 535100691, 752314225, 459522734, 755751256, 665899668, 240678510, 868233002, 121326822, 449978351, 514103113, 685632689, 173564918, 424912831, 433576276, 505400018, 442373795, 837046061, 922391663, 306700500, 605122326, 839145405, 462015266, 928774884, 328937725, 383304671, 904168335, 276936045, 908575504, 128144999, 235005557, 594551408, 922731277, 508412759, 578029486, 331482028, 190471622, 292648527, 978599240, 823068601, 47178580, 479820547, 461357545, 829092408, 392967123, 710219841, 928368712, 549275288, 658721641, 139106428, 770300849, 916191638, 875379877, 777192028, 646421179, 528131343, 409790783, 506866585, 234527887, 340719189, 165268317, 237926987, 401677737, 117403894, 131078477, 563125250, 486471620, 772281869, 973153919, 393217439, 613514866, 57213597, 180438995, 866558332, 463059033, 284124597, 436251671, 445174744, 994760777, 317058483, 625832068, 393377353, 371950179, 721551834, 320393347, 366486621, 993750454, 360966567, 891922189, 795824010, 85074362, 250574113, 611935889, 937814118, 549050659, 361835285, 847353414, 164115521, 819573783, 48784824, 992570847, 508803973, 526796332, 567485451, 672287748, 650909253, 533376651, 142728223, 349238301, 480320100, 444903303, 190742081, 913313485, 354391188, 145175425, 786923183, 326337595, 382447673, 19636381, 247966063, 324880100, 283860698, 81734442, 854860153, 888521264, 484438076, 302127338, 437006473, 683896936, 429664571, 210394428, 755239313, 329042276, 601043750, 537987397, 517374778, 331649578, 997282503, 635250115, 840098893, 754126514, 470254024, 50277060, 623968149, 362622883, 622338494, 696362928, 751120852, 841797941, 318586874, 211424892, 260689410, 964080219, 727049021, 146013990, 123515515, 519527441, 797989813, 450012590, 57946585, 614840084, 327281862, 353525679, 268674394, 867212291, 252555578, 956043514, 713118107, 670318186, 522179156, 289415195, 831067703, 146587072, 567234676, 613162147, 788690466, 440769750, 58951686, 785426981, 750990277, 869802778, 219982102, 962492189, 358235725, 30260262, 126507282, 697264269, 114411850, 216273950, 916127622, 811211183, 118555323, 915653673, 785686415, 737932809, 39377865, 89806192, 842560895, 448637960, 552231367, 355611835, 530547700, 613920949, 580601350, 448537480, 864934990, 924624121, 251283098, 147729722, 151359298, 196536761, 122121659, 463678322, 349281863, 18479376, 450980010, 363808521, 704567963, 351088017, 367700701, 491177640, 202432217, 726329593, 394508207, 339924880, 33558962, 162084888, 52328072, 711595278, 514100643, 190580410, 863398261, 809765267, 54681000, 315630705, 400448324, 673793450, 144678162, 250216550, 816021880, 450403846, 8558980, 713812696, 77959169, 745347446, 895885472, 127986015, 959593465, 843461576, 58439061, 676448489, 717351426, 555127174, 412755048, 284811141, 129401350, 840565739, 682902224, 948412964, 374567192, 122749865, 472582897, 866456554, 761381388, 273014484, 837520851, 587283890, 515381668, 793398401, 496734824, 217382148, 420790990, 894438793, 631224260, 248162243, 999883202, 513474091, 608652265, 192671988, 969819837, 100800834, 187821261, 912825859, 158233805, 754947483, 997371305, 768936496, 986980757, 404663899, 173463995, 116210435, 856523778, 432996029, 385250055, 643364997, 942368085, 713830890, 23652549, 908358637, 912921536, 191906754, 975367496, 389955866, 435879617, 630290560, 323048229, 7779687, 321267335, 340284972, 574280143, 723783013, 265077614, 131308542, 776928377, 174390374, 555874413, 660716368, 313296796, 52266827, 11533117, 384307356, 519672559, 808124832, 915889716, 902234797, 405088763, 120245661, 429615586, 702736212, 281812473, 807732777, 561007175, 670614991, 332303930, 792711329, 848928529, 506503142, 757023287, 647946087, 327581343, 904798386, 454573600, 481789308, 729740694, 292617488, 530421398, 561675056, 652715752, 787453268, 673909034, 632072954, 50250737, 13626792, 77869609, 537528870, 435585195, 876276468, 426036206, 340707008, 443212348, 356927578, 305429367, 195679919, 248876033, 118155183, 3113845, 853245268, 599248801, 621707337, 481463969, 713740078, 744798626, 897538990, 110695246, 788009648, 643951371, 298047455, 48423719, 789674857, 545785806, 165025115, 632462636, 624477185, 465841467, 577857953, 684617055, 454273994, 22184752, 375963911, 406192965, 570669846, 742227781, 889445596, 137106323, 91934029, 914511895, 316256580, 952728290, 726208569, 703859842, 289057929, 250954584, 966749852, 982067284, 284476736, 877453769, 594973069, 769534647, 580968175, 472121323, 88559169, 685864350, 894084740, 372521778, 188794362, 119142774, 240965582, 101421851, 762855831, 732555575, 957728970, 87347321, 486133591, 159142458, 269899297, 600175608, 445557249, 248025402, 526270961, 455991738, 584859308, 352535638, 700236161, 719159801, 539439026, 670286911, 582353995, 392518643, 717371262, 164436710, 49434987, 418824103, 548998260, 803319833, 110883865, 511369278, 950434445, 100263830, 806853177, 414946763, 556358212, 734247131, 740748283, 156564542, 515110770, 747218318, 1498061, 832323021, 165357278, 658103568, 528013715, 904487704, 531236999, 558819306, 924144275, 633535182, 886580669, 806626475, 536733832, 749423036, 13535337, 161633875, 159540176, 712661279, 678570346, 819309982, 68606159, 573578914, 755386514, 35465819, 95187969, 416617081, 896674972, 552598607, 665036588, 800713433, 287180480, 805138033, 677570945, 75594626, 639314355, 264575503, 371197958, 71409054, 651003750, 467982745, 438520534, 905252806, 422058740, 282297771, 256013323, 22454071, 320578501, 75399992, 23606343, 653283846, 789868548, 272154554, 352528964, 92016600, 701710321, 410079702, 329245332, 134959636, 551492296, 780747424, 414999245, 689838118, 866203472, 359856794, 162380489, 745917491, 842322032, 740988448, 211613619, 732508142, 796854200, 593722846, 341121003, 398363281, 686505113, 465301558, 202995017, 431163600, 403009791, 415627199, 905334843, 923179341, 232502610, 863507052, 371507292, 179828881, 701895675, 324581463, 170635190, 525567420, 175769921, 617973037, 468789557, 445223705, 56046503, 216621542, 679212607, 402705893, 721632394, 544271024, 346286019, 54589283, 391551333, 691509458, 64040800, 640533053, 599980940, 77650814, 769057939, 994864110, 11888892, 113710300, 270036226, 633898476, 603399897, 605417984, 251008482, 420406922, 131115864, 372774432, 874151751, 943203773, 705766076, 167231839, 866606174, 197951730, 408121373, 838437913, 51490614, 690686263, 735117657, 784206944, 819391929, 557416004, 983348479, 893227330, 885857478, 386937417, 803774889, 834631994, 702799210, 565252625, 309888900, 871358877, 203832688, 583462528, 48840810, 311339361, 187758242, 451995885, 4069907, 528188759, 350912339, 488189119, 103449878, 377318914, 288177913, 605711655, 875572048, 975352038, 984780334, 532409084, 284263443, 59004274, 853584436, 847466105, 587068144, 864856108, 424388507, 162880645, 820349109, 409579507, 1064265, 728122388, 664803758, 54171052, 597457446, 84892094, 307657964, 288911258, 456607, 71603433, 195484615, 150291408, 368930716, 369411451, 96285010, 959203857, 919534004, 498183021, 175223597, 700400368, 328362745, 140659531, 367871584, 8384960, 207264759, 808707870, 794657371, 245204439, 180151216, 606798864, 947082059, 647779055, 279761945, 19803485, 758153088, 407228056, 336112906, 827522211, 359190975, 994229204, 421283047, 60237334, 171970781, 925119727, 390545327, 341955282, 52574165, 312475124, 28548625, 650090241, 891343280, 989917154, 927551777, 779552423, 694511410, 572049570, 718544788, 148494843, 952415068, 258521340, 582460802, 363671916, 167412683, 583977797, 257904646, 162074482, 877823925, 943964975, 195820489, 618710341, 512335027, 272101125, 170468441, 49540449, 867441937, 211064554, 276589498, 827160070, 677412628, 159334357, 517167128, 762136836, 92631185, 929099293, 189611537, 10162985, 143048978, 324992017, 454611188, 975733143, 929419951, 314829751, 796312403, 203993435, 159325914, 56414393, 304814637, 305629290, 842600827, 844599813, 385435511, 551711111, 863900333, 744811161, 794895609, 858786768, 687033257, 446788794, 487235428, 826923608, 797164884, 811407760, 292255284, 691835989, 70879386, 335455465, 490915608, 282110383, 191297065, 318348330, 426658464, 348328032, 597350555, 413199934, 364581660, 464496364, 130584928, 73118628, 525825510, 103978258, 904314279, 981335897, 264697239, 957858109, 259215085, 582466771, 808976922, 553297692, 424561962, 83429879, 752857452, 238766841, 978943229, 828774229, 315690388, 5236022, 551643281, 816549539, 512594675, 425046241, 53734276, 60643739, 425132015, 136112188, 499601432, 749145606, 711034290, 474117764, 422654300, 237212879, 666325677, 197086238, 846541544, 955729386, 177142607, 902229762, 975424918, 766369249, 600735765, 68794718, 185587301, 213601629, 738363310, 267876906, 360306930, 706311362, 262572166, 290791118, 638795199, 923537830, 428878817, 380349249, 517184281, 120375917, 806992876, 85416194, 255247038, 315775360, 758011125, 615052859, 183686325, 45286046, 646542626, 506309248, 596333782, 93907682, 621617795, 975600598, 869977003, 990613788, 665118478, 996096644, 619269591, 36703269, 454033770, 183041358, 875586924, 217306106, 278000341, 874634320, 846739375, 549272169, 39076595, 587630029, 738256490, 913152035, 550116894, 803621473, 234756781, 885579622, 253033264, 730718933, 890503243, 51664053, 189938564, 164453357, 430349758, 341082149, 905123851, 80427495, 330473925, 746672134, 581346028, 977738204, 635895339, 341523009, 18672678, 158888267, 106705666, 63649010, 13177489, 54972767, 584223297, 285110575, 583389274, 66481704, 383356705, 161459987, 496600305, 46694042, 839794126, 238573723, 705282668, 988622700, 77126480, 515265757, 607007270, 694136485, 980020793, 150831022, 770288211, 491285241, 798498327, 631091303, 584910655, 571335942, 731767094, 223213805, 56088022, 25770126, 324137874, 63295411, 741746038, 419266821, 67460150, 28229419, 939439337, 714601278, 40139978, 423823391, 901059680, 328475141, 36156642, 250355469, 961392592, 462781539, 637526341, 344090057, 916185844, 183651464, 205203185, 971455377, 856497326, 336744985, 532478434, 264367611, 58501554, 627539219, 804777444, 533167441, 31060232, 923285366, 434848228, 630289945, 177904990, 128450120, 841430839, 532471787, 411500973, 721534577, 208813346, 536558046, 721336477, 603161192, 637504309, 816564701, 725041135, 806251230, 705205476, 906549518, 784519288, 532090027, 451176481, 460674371, 618563174, 721609986, 141878270, 673052789, 515791, 968578291, 402526783, 851400985, 252408899, 661119348, 935715814, 925652386, 794929695, 300847380, 637148471, 251422959, 917749400, 669390697, 84360616, 881319400, 137634208, 430927155, 544735213, 796152862, 988669447, 587919995, 19039231, 397243616, 619500214, 374368041, 212496618, 785751657, 504363999, 783675468, 58109062, 456527245, 176600067, 464746788, 539525636, 974120502, 2196361, 37168794, 211222428, 29633955, 972343608, 750300475, 647501541, 489705113, 144348236, 120376446, 909730108, 983576844, 42149344, 680026507, 95892552, 449201742, 867278203, 500257547, 4089930, 795996936, 465739826, 364873000, 21022783, 938338517, 98339645, 548134514, 862304392, 556986970, 667856343, 699275815, 559843375, 562202156, 826098030, 345037321, 412182719, 889780449, 767474432, 352124925, 615745022, 51162617, 887799392, 783990394, 286711663, 585978631, 585806699, 208142555, 558655100, 88758698, 116150230, 924604672, 528556035, 682108618, 725708053, 883638524, 645647220, 593510485, 263622806, 686572808, 279048222, 447250688, 87314483, 189461519, 332790448, 772047053, 406313632, 620176865, 228119742, 981298268, 797440753, 881387846, 614584531, 802612738, 267991741, 37712361, 395571909, 339497244, 694984929, 696289863, 126160646, 749156066, 22976806, 663820969, 950134578, 636192158, 959262446, 197675564, 738169283, 378566175, 948862079, 569140734, 758688332, 742834992, 481158719, 547150064, 134431771, 856609477, 402163950, 126008897, 107547931, 818983519, 333237909, 32924730, 606269395, 311085079, 19561707, 6883491, 125983504, 643263502, 202246112, 929631867, 990181199, 198920103, 67935200, 456461929, 661342053, 255853086, 648081906, 167509990, 345775625, 293184169, 444209811, 604512507, 262203682, 452373123, 942789896, 708072607, 626346892, 885653408, 801530006, 139089867, 121543754, 420357235, 73537338, 375902339, 57275413, 674386702, 46025213, 889221796, 857658248, 586092052, 564734638, 668525806, 364495279, 852395155, 305755518, 304351531, 832735978, 877789895, 202893935, 144206341, 696251467, 319143973, 102853250, 708663464, 860450204, 921030329, 493909114, 755003043, 108078960, 948496441, 672012318, 226070809, 353427011, 121340810, 374127294, 384605081, 298548862, 580062999, 810945908, 113262655, 663363470, 225878331, 921367243, 14382517, 819831429, 294536905, 588635511, 168375448, 9525521, 753271367, 610032231, 560123896, 763148844, 684025792, 77962271, 918931505, 355744878, 831892855, 648985177, 803778091, 210407200, 929023297, 547533179, 412466417, 768291780, 606181811, 402599451, 412799900, 997131631, 251863070, 429375386, 554118372, 833715861, 188293390, 941973115, 896282530, 57496181, 121553842, 375686988, 999926415, 17215707, 315717889, 216355359, 920118252, 407556569, 131675287, 426896629, 64710279, 652921475, 900833498, 13606274, 471408115, 50721889, 843130099, 141137647, 615287599, 40932991, 897865276, 376112091, 687312966, 245423264, 749281933, 843685580, 97935135, 639527844, 430279392, 708455214, 591047669, 302520341, 709213837, 694038547, 224060837, 655264550, 301607836, 212904604, 3884052, 861814789, 4784592, 231299353, 440622191, 407351114, 10503698, 86396702, 23538578, 889180678, 918583294, 95470673, 19484927, 417909621, 355941292, 24232175, 631574633, 479758383, 557590902, 793445162, 37787728, 922688287, 549670192, 633631310, 48213020, 71067311, 702788498, 330026801, 413489396, 683133832, 827862696, 98007386, 903349596, 322926898, 933443395, 769737275, 400159902, 595739964, 499066962, 567231962, 150068115, 784789477, 370617650, 693252060, 183333408, 939095699, 972844611, 167342180, 714206655, 886544898, 1455556, 589254699, 58537120, 438570954, 11209084, 475847982, 142498685, 73557718, 627398589, 206553537, 687716355, 847301650, 473744101, 843120033, 19379489, 280771805, 448674169, 95241233, 513535958, 454036505, 327947380, 880210638, 460007530, 546988618, 123829201, 18270041, 452220294, 541885669, 944880199, 428588781, 120315669, 471190856, 786786593, 856194551, 348126778, 380342816, 164608961, 730795284, 930965006, 845245064, 904852214, 893527134, 906986326, 523785804, 222840149, 783892429, 888511422, 486947195, 585948881, 390977015, 912782937, 882657496, 641458511, 2182664, 994608713, 226984087, 481617826, 452427783, 464618708, 549839623, 485178568, 251351929, 344142183, 155442059, 488414439, 231558947, 618101703, 689963756, 521385637, 864597551, 617858218, 631982323, 159356308, 274403415, 86088631, 454170895, 362081195, 450331481, 595207497, 981181397, 705070274, 224053613, 286775240, 315074568, 648006741, 6520361, 158787631, 290029351, 366531835, 77916290, 470868415, 95637030, 786297872, 563219913, 32615573, 884919680, 654306789, 893564745, 318701647, 314343125, 566458328, 482701992, 472185696, 705690178, 908205419, 11530383, 977620946, 819975038, 557804403, 725996256, 904800633, 548172214, 422550610, 887775374, 395512, 868684197, 913220175, 610441530, 127583213, 674563137, 823678458, 720028863, 561596866, 702101955, 121394322, 474314509, 243588271, 327927253, 416242016, 555175302, 544113817, 196775085, 887742060, 570082888, 118598072, 675768506, 697768796, 852765525, 669424629, 870156655, 750529409, 862262764, 708976068, 612876277, 401992190, 491308412, 317277754, 340993668, 684649909, 737992191, 258029929, 819323016, 265402524, 414693564, 993744023, 421324169, 733086219, 458622145, 531021768, 101345015, 442225410, 918298910, 282042538, 875955513, 546239252, 665661704, 693790070, 406507812, 578512137, 879105740, 812103902, 948277124, 507889546, 87264987, 34800054, 394635796, 443115580, 476044649, 733390552, 285800826, 561371571, 314194487, 300048184, 208464315, 216763853, 364794431, 298030456, 95218669, 231207071, 516112462, 78804304, 865634744, 367957084, 234827920, 474867620, 671238214, 197911, 412789466, 696299030, 25156169, 5447143, 338731591, 375390139, 572545564, 531580307, 565093887, 13761282, 435334146, 740078367, 389715368, 48541695, 215571355, 232322593, 912349142, 738517144, 20543258, 350230235, 940844497, 590219154, 643439487, 283346058, 134440434, 187530867, 304132303, 83662444, 524145582, 46268430, 159062440, 612951754, 141582956, 679559249, 73689098, 591757601, 301987971, 902239766, 140096873, 252017356, 238842671, 591800410, 666839758, 685467358, 819632954, 601592692, 771167431, 801001765, 81897725, 605424387, 329617460, 889143001, 881111552, 30064110, 456793820, 975392461, 353001409, 943116148, 701230963, 616407467, 766380498, 587154729, 247113623, 974584233, 687190427, 153600806, 781655452, 130971586, 619225130, 652031049, 661761192, 948795414, 845199039, 138911245, 210930409, 738604077, 717543997, 413226667, 945613147, 350837174, 934072425, 529397044, 647500284, 795419666, 274203168, 62495707, 312906335, 658415691, 77768248, 492147859, 250716728, 120160654, 621979850, 360882249, 93476096, 840623839, 811641377, 708480933, 666252336, 102283979, 87812208, 114231555, 540257313, 744171945, 490065820, 625620072, 506716954, 737994685, 357937987, 99869724, 147026068, 336962923, 236456743, 311607542, 560489322, 991508028, 605716349, 140990420, 407378104, 213312586, 82656624, 189463739, 5731979, 140102324, 431902365, 56614957, 294599981, 541502951, 861632250, 311081915, 645273935, 171886367, 690181795, 784649683, 375851590, 252304302, 380304859, 52447602, 73667891, 527609408, 210950139, 791384022, 39393756, 230190173, 769165344, 782191266, 642448806, 833549710, 782531703, 374289096, 83343495, 93592022, 916492590, 42710083, 816936587, 786913724, 197468671, 963577124, 106089943, 769446930, 348920124, 689418796, 364687425, 891842141, 670056239, 255704990, 465712365, 510954833, 317912881, 588164607, 241239926, 256228942, 363091051, 117349979, 106589229, 959879510, 607175617, 750871820, 681895565, 351550441, 987146293, 887609297, 282501485, 898892874, 185450283, 99697056, 30294797, 136598652, 537047867, 550878310, 339901619, 477460868, 10729790, 394685146, 726108357, 943532504, 929009556, 502679933, 869592965, 637974769, 548674695, 719924496, 613167090, 818916069, 245273461, 283623624, 248072197, 656662180, 745586841, 584706763, 731716309, 313320833, 913739400, 487475296, 227995422, 79156108, 652069794, 3172073, 965758713, 919633694, 751077945, 580449469, 241945912, 637564013, 760725186, 563302955, 109183201, 298445679, 713480683, 950042190, 361688964, 297481825, 250583620, 937041551, 624869484, 758598598, 697399595, 1385588, 805460725, 306196234, 419954557, 36557777, 329026922, 40467033, 176964037, 802663755, 15296884, 957896499, 400714248, 216206125, 249878971, 131677032, 72987513, 347455256, 213311662, 30308431, 680771237, 916173334, 53781588, 547932843, 22262943, 263644108, 96670307, 704320194, 163942363, 858654998, 334621594, 918062814, 84251369, 9369413, 19273284, 871556009, 459587124, 263391412, 767864360, 631134034, 73069113, 325136605, 346837401, 762601072, 660648328, 352643281, 750457680, 292033786, 881931661, 753504161, 214175086, 91052730, 886076345, 577362205, 842149426, 637563289, 325997338, 671741851, 170342510, 544542286, 501442092, 152441070, 79428150, 688922994, 716888822, 420040656, 88715784, 842525203, 871990951, 444240926, 682670752, 846093540, 545950739, 412683135, 439541776, 4851908, 950600058, 530207868, 419036588, 36653749, 463591779, 973671187, 921624113, 932912577, 682160478, 851171297, 201861393, 129660461, 38339418, 243967220, 691480732, 890461712, 977903067, 827782698, 357429804, 805718637, 797892456, 332052539, 497155475, 234195235, 340986004, 897086314, 452570302, 215617717, 112285923, 387152042, 668376141, 538434571, 87634957, 171973752, 338488519, 370531032, 429781396, 618623738, 535377288, 244843111, 521919083, 7447394, 334514969, 108824143, 783054035, 245777708, 667372913, 638285106, 252530952, 654646527, 663984502, 857205351, 859467863, 23886735, 165600923, 83920770, 406716563, 711878910, 827448676, 444580221, 324111205, 880239244, 450807840, 277737905, 20893920, 151189533, 531804197, 577840878, 256734677, 342342598, 401725842, 856615115, 654923124, 360324440, 282541394, 664205132, 144335924, 671953863, 316879067, 200159232, 762154536, 519388119, 682213778, 205002054, 97677542, 16796509, 698215181, 77195979, 470190262, 815499275, 313843106, 205668302, 845658570, 723443721, 945832678, 727296173, 371513148, 461334404, 717004840, 100029103, 624152712, 455890673, 897060547, 442157290, 803068423, 109227984, 689108929, 477705957, 400582127, 889817038, 999680862, 874201937, 516920021, 358554849, 575406928, 661804907, 992723925, 392211939, 155268499, 531363776, 331863300, 643297813, 260233764, 232070007, 255729173, 622813264, 352834344, 370242479, 643642, 643660040, 814818480, 996425396, 403995234, 857454812, 46666344, 19524452, 805948940, 952132022, 311048956, 526071714, 770815862, 695587213, 449125589, 787475708, 734082522, 455641403, 625139490, 735204605, 220539184, 130074045, 805806644, 429483844, 499516371, 842408312, 499637766, 856063092, 323933094, 40487406, 773610069, 860899059, 230175531, 549526691, 257940658, 756051940, 621160632, 217437664, 13775178, 862088391, 160700990, 928036891, 501778234, 173606308, 112484109, 584967916, 575138216, 776935528, 425751986, 143279317, 427359312, 577342251, 324032283, 35482446, 848424975, 522258889, 525009391, 741428874, 552132499, 437335882, 253389060, 237601148, 97590597, 500823408, 151714685, 487768801, 408489080, 331860861, 995435458, 249887106, 492665635, 609098539, 388666959, 493833014, 406459155, 403207474, 735913372, 217891377, 137371754, 529956695, 23004729, 902311705, 89196574, 60599627, 373542083, 427288343, 148549200, 210212732, 472007085, 712452021, 972060779, 627571000, 591984325, 551780067, 34464828, 991232620, 366971725, 622709300, 668622028, 500625283, 384917104, 394013513, 920899262, 440731629, 217838160, 871869566, 185156805, 541026408, 867420795, 6620250, 711649462, 742522548, 646115660, 539204740, 573538416, 924798055, 994665597, 414773757, 572111570, 154909645, 413314785, 329315869, 591865914, 254116729, 56676250, 628665844, 107387630, 778249699, 542685621, 516878647, 484105992, 998041013, 192711184, 99460992, 557352849, 494861291, 336966251, 584300089, 946080491, 359877482, 972906416, 768483523, 74293108, 709894029, 660015618, 514256810, 134588350, 674146954, 298526818, 122889682, 851486380, 436397841, 41537415, 721956612, 685157069, 971467668, 923922426, 857365148, 159527789, 735423586, 309475237, 283276752, 361449606, 923872419, 804072893, 12703812, 917624553, 258859398, 417007768, 515926605, 426611673, 293191967, 116757510, 372424866, 356599821, 87802494, 723876547, 853946071, 698048166, 407514682, 381346139, 370148448, 208860644, 661972270, 7631392, 255375050, 627543215, 639909695, 953910083, 723914217, 671932709, 137095411, 258020750, 117282674, 956834540, 458802237, 256413569, 34218426, 887315476, 84579637, 443096283, 133835676, 407074992, 294381781, 978005474, 683160004, 956086699, 388277870, 670806584, 725666613, 510941979, 123288378, 106437580, 187898241, 535899836, 63837225, 238681181, 488358639, 837266185, 473745047, 566331135, 227938069, 159446756, 624867784, 778505295, 271745746, 843044456, 434901823, 779570320, 861385738, 484933786, 426269642, 342902819, 362223435, 578998592, 409247285, 737617979, 97927684, 859137900, 712375937, 509775710, 935219591, 270807157, 223523183, 128541079, 145995033, 128679164, 343098737, 810411899, 226760522, 272469946, 670666023, 337984609, 171962628, 443043876, 596234885, 167380992, 791325717, 357548777, 245978250, 432603290, 645531952, 893757789, 206829590, 785225367, 848089920, 666000362, 548118134, 735182591, 691479391, 756163493, 214493644, 281639567, 799388086, 742784703, 861699740, 923527420, 370382526, 626243493, 499012837, 842969844, 945654928, 803306724, 970146945, 180473430, 525461115, 867098302, 814334512, 17950786, 531283545, 586952674, 457828710, 6303463, 179573409, 119180585, 133545076, 882779623, 876922109, 939992692, 76367727, 46392593, 136748952, 437952891, 803326925, 724603842, 408884911, 629181773, 735422731, 775936934, 511686925, 339432922, 71980793, 92337480, 936459234, 172596610, 331125628, 846052132, 971661733, 222513475, 874646556, 733211487, 493533347, 916661983, 6234298, 426953771, 930437366, 310069624, 572772580, 468658316, 831326858, 17807353, 268832964, 800766245, 797680061, 451947165, 629552296, 484098778, 682233184, 783032231, 522497756, 333201045, 430030824, 869674954, 934405129, 353695631, 408523480, 42120626, 850286753, 635120488, 173418809, 55090537, 221966138, 53640771, 594729034, 690454273, 720902570, 613905479, 911155794, 499125460, 830506043, 717559942, 857982224, 177852420, 752002100, 672092476, 111452721, 750504363, 625813062, 134135546, 486770612, 487178704, 172857836, 228962956, 510382936, 28869933, 135047273, 123603613, 618821730, 836614346, 562284171, 669390851, 258429715, 111618682, 907647146, 55868476, 692294543, 266144336, 805531912, 823281732, 178395080, 947546472, 719310330, 882464072, 423253260, 489904736, 747775470, 308013537, 18067916, 804613582, 657161369, 476710557, 972721949, 166791831, 77788604, 910287421, 73806271, 904825609, 65726586, 833275190, 314070097, 776612819, 673105969, 128028511, 141038747, 502908002, 216261632, 437761987, 281613477, 240661756, 629547358, 310382054, 813395932, 25106105, 459484006, 772017673, 819185806, 799343864, 290217771, 530642280, 446170254, 86880299, 494090809, 5529173, 59037265, 722181576, 474054662, 890388297, 187603474, 708631987, 296634762, 323732703, 441510474, 531925395, 413667481, 8130239, 82949621, 122254017, 505703677, 173826147, 652211269, 224882654, 744691815, 111489527, 393158505, 312587464, 308556464, 730094442, 204851902, 436127127, 645218235, 808751948, 873664179, 57399696, 339589318, 74862241, 517766174, 717226417, 518470300, 418418262, 184289171, 947307320, 291737747, 319095893, 759875535, 765951477, 908772535, 501345951, 90518298, 451696862, 434509180, 109570056, 342134865, 578469742, 636132282, 24917896, 950996074, 222104618, 186442741, 602743056, 619172466, 389518718, 134794099, 519401811, 569068839, 504226539, 827578595, 122380983, 906308778, 187114948, 668064372, 683272235, 31323124, 19054753, 973413119, 140659418, 371591845, 85452784, 635741625, 820566074, 522855192, 373678247, 299441975, 760643921, 292545509, 421738045, 634784980, 967750348, 526220142, 785495639, 483508149, 912652588, 67214985, 310952145, 248780061, 161554277, 311733629, 733489223, 307554410, 227423316, 416116587, 410475564, 288850260, 733833234, 451493567, 990627054, 500407468, 678537361, 255554749, 715888460, 252194861, 909408253, 860631398, 64874418, 878022956, 724825210, 954738995, 439348997, 831597143, 454922377, 212654997, 759570, 723311351, 131197009, 664606273, 895365655, 157510762, 775378642, 114524747, 370252969, 569455678, 517036829, 885017461, 866212222, 717798387, 479731361, 92276538, 741333894, 995355301, 451379494, 882088419, 705279707, 217021834, 116753174, 469282918, 294399813, 48194704, 15307114, 555296817, 149986660, 988378941, 326012774, 987107498, 154821470, 897937775, 360215862, 523867796, 515805536, 992915995, 504190684, 278883547, 267133893, 611220371, 626162839, 289214463, 207263544, 21921778, 920850022, 454415038, 109756135, 699877872, 697116451, 401911980, 777032384, 985452430, 382089998, 138462226, 989307716, 286610409, 701863534, 272441664, 474857990, 903139143, 667779314, 71136163, 816509900, 775846007, 677444449, 325479799, 338661137, 781499098, 872121463, 892227029, 130849340, 903290512, 551229024, 835050421, 925955070, 162960301, 705799242, 758872074, 489660366, 480135656, 538751334, 521528696, 396996424, 839910942, 963233502, 324738329, 559067898, 655057954, 812265702, 53950299, 599022071, 726775209, 739666441, 385263780, 875426269, 349448739, 292939654, 740813083, 763017916, 966610396, 235396534, 345953253, 21122814, 152347089, 281145934, 451233673, 915769204, 222249966, 663202679, 767985340, 171098894, 883058722, 880418520, 733343915, 288507051, 853643356, 125523625, 525155198, 597991, 303719826, 740239895, 284708958, 992343595, 91881470, 298016169, 350384620, 359213832, 697549611, 944174670, 552275067, 810661269, 882244626, 614146217, 464310826, 261819603, 411901237, 381011098, 700256932, 39975463, 725630177, 771044779, 472725591, 48442435, 739904486, 434255617, 26881058, 727070626, 989782361, 959544863, 841092477, 783693910, 846552889, 4971498, 649132079, 912347877, 421656595, 865071251, 302100273, 379708133, 602958695, 915263198, 930383775, 216864065, 93430322, 69430195, 356915364, 850018899, 240905838, 314408532, 131906928, 702117465, 88415019, 701965936, 336837718, 210940720, 701964121, 695379034, 991094537, 562792449, 27322845, 962950752, 272287919, 897985566, 432304440, 576567349, 905712256, 431716057, 387607587, 691748730, 707612389, 508209647, 38044283, 233804943, 7626539, 336354874, 753389637, 806882826, 115198018, 898017994, 405643696, 680486528, 618520395, 277887238, 626974844, 312116083, 853862213, 818073820, 774711033, 464849194, 964438463, 40501391, 537224568, 6022963, 900721565, 216681209, 745418864, 522296151, 785134800, 983221473, 944163245, 838108835, 217688309, 731234913, 96702736, 119771112, 95717056, 295197810, 344753144, 259736236, 560061377, 774148425, 989732269, 195570326, 321622502, 693526359, 321102851, 54817321, 754864168, 538599992, 320395341, 632494815, 383976558, 455957246, 621703228, 209621412, 452001247, 410792984, 771858854, 825721751, 7906944, 197009266, 777964645, 542078297, 663280456, 577087983, 642068517, 559654110, 486229459, 788516331, 497690196, 254306652, 645524793, 645894391, 662575747, 656472683, 21752048, 661880902, 861346874, 442194253, 906291022, 244766293, 712383311, 939911139, 938221742, 522341582, 340443487, 884121741, 222124929, 594794702, 699422441, 620599897, 946520662, 403085482, 919405131, 990824065, 967217835, 950773349, 127642454, 622330563, 89626190, 729536034, 694830010, 353261694, 956002349, 195367552, 572798073, 741149140, 726082262, 729994675, 313532900, 246802923, 737618489, 746522255, 493381615, 812640286, 815385220, 422902891, 44470188, 140303431, 517009008, 830664058, 87393405, 121940457, 80538188, 239846785, 39284265, 359250248, 359317437, 533759100, 667837736, 820122622, 333959643, 997504658, 901740026, 571006131, 145853815, 176517262, 420160662, 29299797, 729392233, 161524156, 597633823, 239435335, 597868529, 460542119, 361117790, 319155827, 121360617, 536868982, 462210240, 429589411, 78449619, 113035797, 99602065, 19138309, 209802369, 195102206, 268023867, 201721637, 777522735, 407015514, 164074996, 724955725, 618351933, 914455767, 538314180, 691917778, 258874392, 399758611, 241304507, 187200022, 310795325, 190987541, 81126699, 572935573, 131085516, 319180750, 56379446, 873339119, 172205536, 219619010, 104801832, 632696598, 818793892, 521927635, 610924859, 563932571, 106914467, 47369864, 51392109, 286628834, 415527984, 474546165, 404538676, 719722748, 680183541, 107451518, 910764238, 356293529, 211900596, 683936545, 436701331, 700305542, 721765147, 956127743, 962090723, 400095954, 473305511, 730976536, 579156990, 548245596, 319729880, 22006638, 631146282, 534409814, 518966614, 707692314, 162463571, 461586460, 638667896, 534769546, 483942380, 391779352, 542697086, 670333620, 54276904, 684068150, 982538689, 832691929, 938043726, 986811857, 76932318, 404429816, 243678551, 834215626, 154186605, 854971665, 672247517, 793173783, 873179570, 490534907, 494871306, 490491941, 824664384, 68612686, 856603846, 663752611, 603851212, 142143587, 647084914, 820937700, 393535803, 563712680, 751352907, 866554800, 746512419, 818642943, 746130168, 147131514, 720611436, 895140563, 701608295, 761698125, 419364201, 38622472, 635250190, 812079944, 528170346, 796742183, 629000690, 840930530, 990755987, 225717945, 6096473, 107166464, 587159469, 940452748, 683502454, 284718220, 638888120, 986823629, 424621738, 286002502, 923886755, 837601440, 436479720, 883321931, 212400077, 84343811, 594433398, 232602972, 411706845, 58239013, 960124222, 715270869, 337439664, 851855818, 146467174, 733838816, 86933039, 857499178, 94926064, 421682230, 633202201, 586448668, 270788634, 885799901, 267143807, 284771917, 623054728, 819852752, 322668552, 472630841, 126023343, 733512885, 57006572, 472185220, 848916436, 586372736, 140586999, 100798050, 727668954, 304781355, 18286096, 83688457, 855581148, 276643748, 555591199, 75193990, 220356710, 484516442, 487322364, 232321239, 314409304, 424888664, 444855104, 718014097, 295878006, 507162235, 145459265, 108303652, 492402948, 831914635, 110040502, 325976105, 285040187, 861443256, 186388050, 794170164, 735769834, 853375164, 899352049, 184897007, 51207762, 389041049, 668719878, 491722806, 672050722, 225539449, 48370819, 778965215, 761196731, 564448201, 287102539, 991518446, 555709102, 238514273, 126468640, 346637080, 640342, 876255496, 227778411, 887086122, 951642312, 658383965, 387567857, 701017358, 96133025, 526442193, 39363286, 654843532, 932019066, 52791620, 289899806, 132492939, 378474892, 853108611, 10536789, 887354348, 100392780, 29172133, 964463816, 941380131, 372593929, 328685842, 514932337, 239580185, 582771077, 188679585, 244314258, 883214, 882029049, 136229142, 440181293, 659684598, 345207451, 209837013, 165831311, 367539369, 510946714, 97264874, 84792435, 489421617, 947876694, 345981841, 814750774, 498751363, 509812584, 176056844, 199384022, 377438809, 71734298, 458550537, 162216822, 846234563, 32083519, 561540687, 271450347, 573760913, 23054491, 486551866, 708176113, 545054940, 730303868, 946752911, 898097592, 801980503, 193803535, 738062025, 132249392, 845013165, 89245132, 836561109, 836684708, 87722634, 823059794, 376055479, 436437778, 950371137, 479754188, 440570680, 368434694, 355851500, 417129157, 333004439, 875606246, 128827282, 905861252, 749464542, 976692161, 856737283, 224337812, 321595139, 971014074, 388952801, 537116131, 650509354, 282507516, 775063621, 211766803, 677911548, 924028240, 205277205, 889867325, 857192005, 96214936, 639575729, 177223155, 860484440, 645789872, 588959811, 465008050, 649468058, 12783376, 49565888, 377503550, 704130162, 752625437, 36333350, 134600366, 647579316, 827565862, 788096689, 495749788, 790383012, 66298270, 80186741, 701730185, 476827737, 344290233, 423828995, 734071423, 747509500, 968434707, 229471079, 866633212, 755426237, 396775694, 762479393, 924205838, 893388905, 374315730, 937381609, 946789913, 22422793, 598209905, 441381147, 100508387, 420209568, 493380103, 538598814, 410706676, 857254058, 823212159, 281271258, 124595404, 794941896, 225709888, 133894881, 202094706, 779551548, 36687403, 343002359, 202938297, 47845821, 439497238, 113534549, 993836179, 381605869, 38287682, 638144034, 384961915, 625952374, 895803110, 939552350, 931989380, 594756238, 86896043, 4476371, 200620444, 273381922, 515198858, 967516245, 344172438, 669670402, 593484157, 938208898, 660610991, 183374408, 999869451, 838880333, 114368650, 438722497, 169685040, 398284527, 296928632, 266426420, 712039823, 570349110, 805392418, 953868370, 834566154, 93927377, 18654787, 931358769, 608415607, 893858812, 875978175, 987823105, 622060480, 387840395, 444764206, 840340618, 821888958, 948029829, 764348226, 856915849, 660607827, 711365348, 249888296, 459931212, 631587405, 887995022, 262605203, 126390792, 378891836, 718555690, 11387043, 524791519, 912584618, 986664869, 855133424, 986137719, 814660128, 712348464, 773543533, 199784558, 453624286, 823724949, 654197057, 575805209, 22465468, 560351200, 934205288, 902646505, 598710569, 102963922, 108726978, 133179127, 731774159, 30999031, 14608324, 217960601, 567814349, 86840009, 410544741, 556072815, 726372795, 740142077, 768395414, 485795606, 662145899, 566973373, 324023470, 984424679, 571551177, 754189879, 509539432, 370381635, 12221226, 342618407, 588241548, 128470319, 787298456, 142142554, 771519326, 531906079, 606219804, 699919029, 790896276, 163628536, 131916199, 131582796, 551725110, 162756141, 323012598, 710406341, 831649752, 824110803, 200001609, 473065974, 118626445, 715344412, 395919787, 554460369, 556583161, 236370746, 173144909, 643915931, 24822291, 558466471, 129206596, 859204679, 886078021, 904196308, 848492402, 765262631, 399193745, 779369707, 899540028, 107366087, 896288149, 989716692, 458470929, 591824917, 171639004, 816235581, 410501137, 10328734, 258508522, 258928093, 987835603, 82622933, 37251170, 710768498, 327060689, 604132067, 744821382, 182543560, 701211587, 784440865, 872099873, 728661974, 756055088, 895123637, 583502856, 154135621, 375846676, 929700577, 195312775, 836243218, 893402969, 499316964, 384331403, 91739242, 230511450, 234908546, 951194191, 685463719, 672369015, 8591732, 421606504, 994164273, 231642760, 739183363, 291333220, 649452581, 325278615, 299816826, 298496222, 331240338, 716064635, 800157801, 924900761, 100002861, 850824126, 251274881, 810573405, 772944834, 387314549, 197129060, 291398181, 437283361, 426709266, 126872501, 256070220, 413878008, 794100285, 541979393, 562577971, 804554804, 858904420, 263995678, 440219778, 840227854, 857836140, 801441747, 330010659, 267679411, 196602178, 914064380, 648797638, 83691150, 973221213, 525930113, 710788644, 588904712, 454568806, 367880697, 734278103, 235244665, 881516791, 63308297, 328311799, 712099517, 640484167, 407757637, 423576467, 198213428, 657369589, 157008730, 694462989, 38016203, 664283743, 566265230, 957552147, 585469781, 878729925, 123283897, 371401540, 353589668, 783681170, 663104433, 380214533, 685206697, 273440283, 594320771, 85957129, 96311794, 875836702, 204154993, 666386391, 715472589, 913017246, 973484183, 574241592, 528617626, 463226868, 588065289, 600858743, 342557678, 396484004, 639677541, 915983874, 396242834, 802236180, 662100045, 994717362, 829359929, 82624681, 359278287, 980231182, 603373215, 782935958, 239455058, 687375205, 345703364, 35271873, 326827742, 542691403, 303286372, 923124583, 232711794, 861915624, 782685470, 443231754, 616253683, 40615286, 382408637, 775481427, 279593697, 334618563, 853367860, 950103033, 863858747, 670946915, 734062146, 990444469, 421594302, 529840467, 401180143, 695600764, 544860842, 614790974, 765564258, 483726591, 842737082, 577368052, 392709369, 204395246, 549502105, 305667103, 158963730, 893378081, 58789146, 310625959, 499555778, 93587, 574765447, 671214934, 510997651, 267576315, 16363114, 353452381, 318290623, 935422310, 990033076, 367697743, 206472232, 765782274, 174010513, 403849897, 85032655, 631339718, 315373280, 710924405, 640007919, 813317471, 669341530, 135270586, 27307807, 409610407, 886372765, 244880853, 635611423, 332734445, 121579684, 398985077, 814386065, 850271684, 983882324, 3113426, 748030310, 324921381, 122959497, 280005488, 425363359, 29459623, 111319179, 10207115, 558634318, 683913364, 841138938, 632234357, 249857093, 923951877, 362530454, 13774722, 699741895, 272465161, 973591919, 759784245, 75535176, 477486088, 582484229, 817467152, 564487475, 622520423, 603779404, 771109959, 27467153, 636290716, 823043340, 875427909, 418298615, 723236483, 72724371, 81905821, 793670717, 80101737, 503839691, 620046967, 508915286, 930557011, 723991493, 748542756, 393109702, 167755067, 428292515, 969108653, 464656327, 162961498, 303433350, 75208470, 407453106, 853502034, 875066993, 296100677, 777780093, 437372145, 924434051, 496902231, 102145325, 745480032, 553119587, 409946069, 348286530, 945847267, 541433023, 555134290, 249295696, 354599092, 148276785, 427132965, 747835349, 169595789, 961791109, 849728251, 668601919, 297300702, 506122006, 377228176, 901899043, 736088603, 687100763, 797502091, 63248853, 95293009, 248019177, 56897017, 32918564, 658306706, 321266059, 982220756, 332594198, 232946594, 464214519, 850548580, 642831215, 488088741, 973109032, 333728429, 86837813, 204155692, 99035314, 289403700, 617798760, 867292180, 401633552, 10632021, 395255280, 706904397, 445627590, 221611275, 732963760, 692262107, 685086818, 534556438, 415244651, 911783420, 990334226, 322811485, 781278460, 847438890, 500173071, 958723401, 819251475, 560830353, 112270609, 252806452, 186938096, 584463321, 276773482, 134538236, 17648178, 439351309, 147192221, 216621940, 936112052, 278339961, 32947708, 39039732, 278324860, 271558070, 754528190, 517773187, 792034230, 957275304, 24327563, 804601988, 983883678, 851433097, 536650674, 170055632, 389731590, 890049220, 744001240, 211412551, 948400959, 705431614, 564351180, 283841338, 775637162, 316498145, 140443180, 626558016, 700063619, 528065930, 765119219, 34570267, 36300001, 804044889, 418247823, 800837613, 632648533, 881901307, 102088175, 439124161, 216603347, 213459302, 22418429, 293020113, 772818769, 632749761, 12919466, 613498789, 962722463, 34761328, 261989538, 914102928, 963111010, 976672026, 968699190, 412451737, 342100374, 774461202, 405722125, 820147651, 923945413, 878990251, 840979183, 101722750, 401255939, 264072912, 94987716, 289778809, 668898693, 116779991, 907669464, 428226916, 244306465, 135796586, 322135415, 771292865, 475976687, 474146964, 178565543, 915054248, 88479425, 196138115, 645579002, 426508394, 311937265, 1633321, 548012166, 938555654, 143060254, 558332504, 65239750, 106784502, 360948834, 759828407, 816675686, 243295912, 885847243, 384693362, 879762178, 918540178, 98439086, 493871618, 723796105, 567832412, 141891609, 712901035, 579161618, 378623324, 677622264, 458535377, 367843870, 613453594, 364666621, 508929549, 190109504, 103126716, 406873840, 710221469, 569007468, 632388642, 415583820, 512922108, 337560010, 238585124, 481503504, 197800144, 949547444, 438926075, 181903280, 352515548, 987197422, 741903900, 723255722, 2877815, 528549205, 253181555, 957453774, 976059202, 676526638, 99427773, 730067617, 826489985, 419985441, 993960862, 889003320, 143687818, 130326880, 860958948, 9531557, 72293840, 689443177, 650946846, 361514173, 329036014, 917344491, 985959228, 352715460, 796313073, 821889896, 308955665, 464672140, 209084846, 241899601, 998539171, 98412887, 251424471, 468111615, 320010255, 609068161, 494015543, 137704139, 193417614, 875643299, 439235546, 321759095, 651253897, 29895155, 33827110, 202891541, 175584663, 843457348, 823919403, 621105621, 708796051, 73063292, 647111168, 752337850, 764854109, 232573403, 956840575, 197859504, 687414367, 262838322, 255739363, 543681389, 848006483, 716450898, 267196919, 921445195, 849639244, 908285621, 670001007, 380988952, 231364478, 293366893, 213770150, 126724603, 333464015, 945020444, 3096392, 765322298, 437165816, 982022454, 398670322, 260441940, 62744703, 13844313, 302556302, 902227738, 597992339, 692820955, 828503622, 24136669, 437260131, 165061996, 27821333, 611061557, 115770802, 807628609, 147138930, 966818012, 363401728, 989362491, 141653290, 756624585, 405880717, 787045487, 130113089, 247018620, 816505780, 737978909, 138336556, 19717666, 851511778, 160656185, 743001292, 673580770, 832978922, 11679580, 841551469, 73567220, 264905736, 410986849, 46768355, 642265346, 513821785, 303874330, 900319389, 956699296, 413136022, 366058272, 346302727, 600987145, 50896235, 82482047, 612744378, 823383903, 535600152, 714443084, 616206374, 82818359, 538416320, 61124843, 41823917, 208399872, 356909220, 129307256, 620653895, 923422236, 944595885, 341513983, 311645837, 815635289, 870990779, 700688754, 647033435, 570441673, 663758090, 665375270, 360631941, 645749245, 915737500, 470170472, 644878331, 132805531, 38635541, 964505155, 637535879, 871247824, 766945008, 643863409, 808325863, 227118845, 932255828, 943329173, 567995345, 481130098, 559543763, 363635008, 290771177, 385652410, 756996880, 25810468, 179334639, 74200409, 910058875, 588965933, 199050458, 670859976, 106777387, 258540389, 849411233, 902123762, 322943576, 954663564, 678372921, 387818349, 24530465, 134111767, 827319103, 401353590, 121266292, 858090697, 235170497, 843634116, 372269721, 141622814, 142626893, 553812724, 711642722, 676524264, 982213974, 652356647, 429837371, 952839867, 898578837, 773589495, 485405977, 307833730, 830424506, 416437242, 324420751, 648010923, 97165472, 727812363, 635612863, 223724830, 928122200, 437044460, 19049119, 624502997, 220946006, 679294013, 759692275, 189451026, 829035054, 188725819, 389567777, 61574997, 456002731, 773435353, 240449927, 972808418, 440971660, 767437680, 112245054, 864677117, 760122107, 656037047, 203076124, 550222476, 8715494, 712745129, 126585446, 361142130, 781688257, 729539971, 868681643, 86902866, 886040633, 91528540, 493082944, 691102501, 524577136, 204392477, 433056474, 74459052, 794147767, 613278827, 69520917, 935990524, 956540907, 956950731, 961084876, 142346982, 868203937, 39915912, 866668509, 302501964, 550108044, 417345932, 835547681, 10574508, 286723556, 118226749, 213298184, 459442082, 493577317, 183184897, 13183631, 749965073, 16082113, 704078635, 297181893, 379138617, 207359536, 826645876, 160821168, 206549932, 213413447, 762206029, 794330097, 805900423, 791875535, 851788657, 473369390, 5019590, 766933340, 592408319, 503886946, 273695337, 130022626, 234453069, 581380037, 785596724, 461851245, 941518314, 146726985, 764940696, 721439023, 596489130, 825889273, 305366197, 241803410, 416147553, 953247016, 711594447, 449543843, 798036064, 192023192, 161693853, 431053120, 144989949, 232887852, 93338230, 928517143, 227351087, 871685720, 875674283, 957396949, 768920881, 873353714, 260103103, 589874921, 413934249, 175884174, 148648425, 249357998, 883112264, 402875393, 199454803, 894615630, 729249012, 926116502, 309860028, 532011155, 583013444, 586875001, 204813871, 301522698, 732717169, 993064903, 759209899, 479643634, 631481496, 234715512, 180084174, 608959402, 124290661, 730828788, 971644280, 868303749, 494584497, 899957718, 832301033, 224459849, 599465199, 474852188, 772018238, 708442134, 311090502, 249904010, 915425304, 702722924, 703392253, 766122909, 671059791, 733426629, 603952706, 536633193, 234839651, 572606725, 265366205, 89410873, 891504482, 177470507, 420368832, 830226339, 43701758, 10436046, 741302837, 660793760, 711123687, 866107266, 466192773, 696571436, 383649299, 253162522, 846658159, 61824447, 678542978, 774230302, 369452187, 106245723, 235179563, 899912525, 657775133, 494999314, 250197993, 8780966, 473470138, 832921224, 664701193, 256885685, 597427809, 434829006, 952107675, 619632964, 614730157, 21508788, 222286935, 669595047, 22492463, 33480479, 140641744, 162815769, 418484294, 540957252, 113067229, 771625998, 247335022, 618158390, 565959167, 566093190, 962413993, 438517582, 88101480, 94805432, 177350721, 789018538, 869721448, 636065980, 76491972, 526307758, 100116781, 564268252, 925456733, 206926031, 40117869, 567721441, 284129189, 595575218, 443113646, 331726952, 718368293, 626802014, 124245225, 438574704, 719213003, 186849335, 539673806, 843446924, 735758066, 682278629, 137731194, 377169539, 609136298, 793100953, 981360811, 666133274, 30994236, 28842307, 207178577, 596341800, 819841326, 9488778, 245407971, 657787493, 227895910, 945607323, 532889052, 294940995, 774757815, 552725875, 281147851, 8220609, 714020570, 827675104, 200957306, 70800236, 615154244, 214123452, 413607831, 435556643, 918856749, 590391206, 884421150, 935271868, 805484798, 759989465, 351776455, 396635311, 315833226, 75761736, 233800131, 882040674, 595215391, 340483382, 94784085, 119781751, 982980471, 342494288, 471055246, 659487834, 159911711, 997905463, 118342457, 566877198, 813572085, 972898879, 101564965, 855611308, 811558467, 191082073, 698938287, 469590044, 237550595, 425138348, 857880945, 328845580, 709700434, 885793286, 776214353, 884264611, 581974400, 845060807, 648611268, 228545752, 384310795, 51851221, 601950025, 233179272, 13972242, 380141707, 6161991, 729817051, 468968682, 262923971, 344768907, 808731440, 312272615, 791053049, 928026969, 270430627, 613410777, 297116191, 934872535, 614359616, 351748332, 34841598, 204096049, 248818011, 483627223, 686981747, 64851789, 30355940, 107340628, 713492991, 475945043, 943762379, 51470488, 274617816, 918434326, 967539906, 9960391, 647096709, 870671695, 284036824, 195256249, 802360310, 758747265, 84409471, 472091497, 845021082, 746556848, 494710543, 3183234, 337465251, 145568610, 130817388, 386011207, 502690292, 323753213, 317727037, 759213248, 221248475, 495444814, 973506433, 617391151, 53292746, 381593192, 385035739, 138361640, 939912136, 362747712, 319290219, 51632964, 351333241, 99398118, 64384543, 636796185, 825476017, 611703624, 329523055, 888972273, 142454668, 873213030, 564501373, 238274389, 886622760, 991038296, 471327572, 288673186, 164481026, 294313334, 174631922, 958015244, 727784516, 355093404, 222039741, 676260336, 361087302, 560050763, 902797717, 306106009, 699868183, 169561723, 800517245, 152145578, 284015561, 532140528, 972681274, 369044568, 486320429, 820085736, 868329339, 708301963, 340712138, 853232939, 154792383, 355141670, 205267283, 98767705, 166824770, 794836594, 784388300, 317787271, 449795530, 606270852, 676811270, 355100151, 675298964, 319932367, 3979637, 5703240, 52575838, 915175672, 514124531, 996131467, 760613483, 721904279, 344509203, 437366028, 750455012, 281392524, 122965627, 626806845, 660931454, 566092012, 160922470, 749171113, 584572733, 706287283, 317791907, 938848431, 19507816, 970678483, 229685118, 338407941, 345991741, 575385466, 321273206, 316449194, 967226837, 977508451, 518490768, 182401862, 414633146, 103831885, 286116213, 773170122, 979220704, 11668335, 116695346, 86406546, 876782082, 199170765, 310740665, 278652891, 76505865, 293591316, 97037405, 549369903, 416482327, 261746564, 751983301, 756217620, 691186984, 481440632, 359117273, 529813237, 212074815, 691873855, 196125323, 620577542, 594993428, 85274947, 709315039, 104293799, 52975829, 510720081, 394840919, 676048279, 644848292, 554980997, 580477762, 551079875, 229456353, 201801700, 37075847, 220811838, 572215069, 328594004, 691211279, 405920547, 668397732, 418068789, 660843325, 493885415, 435894513, 969861602, 587040858, 562180335, 883320047, 692110642, 836093524, 118919332, 532099825, 123002159, 748456994, 729855077, 485600793, 85739305, 106760944, 91573169, 182478393, 853471073, 96057820, 501608503, 100481816, 343452486, 987012275, 238280583, 796046819, 6799607, 351452566, 588850020, 840476369, 759970958, 113986758, 495724605, 762562777, 425528197, 376366658, 484617777, 337729756, 191588987, 68687597, 331526091, 83320812, 532064120, 125128897, 3043667, 543082567, 79777788, 130927166, 739478821, 138865336, 806975536, 138621330, 251565828, 439436118, 414009063, 166433384, 817531892, 187550248, 176381894, 59816427, 357001767, 690897445, 822325898, 635222664, 905173951, 449696052, 649724479, 498201941, 935856279, 829801070, 852444469, 566146561, 738151313, 581790790, 942701190, 745594872, 277123073, 688072662, 157919513, 86501526, 596012613, 188910883, 981607915, 396530858, 439997751, 960403243, 933862785, 992635975, 761896074, 778733943, 733474824, 382298750, 779547377, 379295984, 45222728, 793316156, 292535745, 321434795, 488320652, 355626767, 474355426, 622093108, 311376144, 775566901, 178865806, 103696549, 175422751, 399490598, 445605495, 34196418, 625157259, 415083907, 28837441, 839136302, 409548241, 816889953, 78357668, 866365289, 177313005, 840005311, 669068786, 131498735, 889248577, 631128643, 161254128, 666088113, 430687171, 44348150, 209139038, 606488053, 821079442, 348540942, 601287885, 825768861, 954622027, 749958021, 810599834, 998722234, 273289056, 721569461, 238785754, 48413915, 107475657, 739072347, 724892904, 873510742, 329425141, 240430917, 109467417, 847802570, 892853386, 547102090, 710270224, 182221766, 146426304, 368294472, 716696792, 556514132, 668723337, 653381559, 199082178, 926413589, 319010140, 805878740, 210869267, 463671604, 408297125, 934721348, 445715380, 99894889, 737223699, 428463935, 817580614, 875224484, 787391965, 969059647, 718229330, 109746605, 660257825, 878037691, 389395330, 45796366, 358199037, 98054020, 928727027, 168280246, 485224229, 578390674, 142367908, 501718703, 9401630, 116796145, 988017857, 506112986, 306097244, 898470902, 166183458, 768999962, 780785138, 667013109, 814864737, 835818540, 290800018, 106037850, 264023459, 897463435, 628791911, 529694880, 899900375, 663695687, 865946883, 878915422, 485792710, 351826191, 134112359, 878348318, 114712065, 818018079, 968145016, 496178166, 80716071, 938720158, 566898123, 669847307, 230180053, 142757050, 137513344, 53226811, 20442883, 829789748, 449692049, 750068432, 794437590, 324386234, 549335550, 973990640, 783478128, 694706156, 116633977, 668337867, 688446952, 372835633, 226789162, 456869793, 97554850, 893773806, 108074825, 564164181, 178508470, 712227058, 125289244, 994867594, 233853414, 440232357, 84974815, 561533947, 607789403, 120987194, 417569521, 503285453, 10880317, 281345536, 597115486, 192385710, 772715416, 239442142, 164333731, 884807963, 231798682, 672967463, 484726372, 581769052, 586564323, 631756829, 731181998, 764950027, 402703700, 127354818, 470204690, 994846084, 373795026, 92264081, 415204840, 881411154, 977904798, 481984660, 207443873, 88290977, 950900051, 37947971, 69024573, 636782454, 447190373, 178239953, 888687147, 625570485, 585137573, 142329450, 492085560, 298271257, 673314500, 532097678, 260884868, 943687504, 972571729, 748274253, 955841533, 752010386, 544429464, 951772021, 830591353, 498656168, 23263853, 749516158, 12045170, 331089984, 741735061, 428948340, 551381557, 236630221, 793436138, 550313991, 390865276, 340011346, 527426032, 520400887, 468673327, 237000480, 589350680, 214860372, 643224437, 962536790, 488786949, 788388956, 892681727, 506745922, 295887576, 537555350, 132800561, 985322876, 103300972, 71648553, 128547205, 539866012, 70099799, 711579141, 967926941, 339440667, 132252943, 277252463, 148025442, 548108280, 527597617, 42535793, 31258977, 74174931, 109792965, 107037503, 716766791, 485517670, 181700269, 806438393, 746799478, 520764254, 709714724, 211850824, 177713895, 482991363, 694296077, 787738655, 123700616, 311729819, 411112065, 15942643, 201675635, 970738039, 711337880, 159155692, 469675751, 617766105, 147550165, 488578782, 791050391, 432330780, 653785286, 793329611, 531132643, 450496914, 184262969, 332792930, 614932472, 927624316, 124633374, 79527425, 366307659, 299062641, 171374488, 168867464, 379674944, 125155061, 871337818, 240632290, 411568611, 772350020, 750592963, 749319616, 565069890, 596873409, 709234155, 536815400, 558985742, 260377938, 905917260, 193420815, 481324761, 671076974, 517455601, 479289658, 679832852, 963631567, 273197068, 55830928, 632432352, 605895131, 491860438, 485900635, 71047027, 94863671, 264082297, 437028972, 690023867, 916013230, 821676173, 329464422, 559503790, 528307949, 652297852, 758649300, 892475988, 250633016, 285504607, 882110628, 233004761, 214534060, 452952689, 79111233, 381950439, 588641544, 106192636, 892693489, 187673437, 443086879, 758881662, 952773454, 143116686, 846111356, 107535103, 81951122, 223889091, 758998983, 107524525, 497835783, 665148257, 586925035, 878975863, 25850366, 542238778, 952968198, 158374301, 441648776, 337785661, 587089523, 715722050, 796055367, 673200157, 577523035, 611832712, 828975481, 544370092, 545311972, 312832843, 99207442, 602282474, 319879729, 185105916, 177803722, 67049533, 667025608, 809408656, 939976331, 518455271, 904809040, 909163777, 754612459, 160373983, 539181344, 533041126, 832019095, 66527236, 270873372, 683622179, 935625122, 163194853, 289804769, 853451379, 443493417, 542638589, 651252362, 357591241, 159474172, 268992840, 932903171, 705794561, 688001549, 872560209, 290064271, 759346987, 395715810, 321303829, 408703412, 375491319, 600004402, 438041658, 930961556, 828926676, 307982855, 31389777, 337768288, 430021507, 306973005, 693366376, 992207899, 378621963, 836187606, 475799336, 493993922, 433232920, 22991301, 300533101, 465858331, 201933340, 967501590, 936659398, 470005291, 208807234, 663018523, 57414643, 337586488, 431917752, 968501753, 338848254, 230060941, 633477826, 731050864, 132387064, 899959768, 40698516, 776948639, 946753446, 481936211, 728144770, 787422130, 761355720, 259879643, 216203065, 297467818, 661216357, 9655133, 576511025, 563770208, 73597746, 72061578, 315630154, 526733930, 51626417, 496126778, 308193238, 375929374, 760447962, 618653219, 291625441, 329460712, 416581795, 283158260, 870097790, 514614428, 224932116, 962915407, 520351052, 802241052, 966446930, 506214030, 568740636, 716772968, 609103386, 315944256, 164697534, 510395834, 559790206, 79989442, 273490094, 823052610, 534883143, 299458513, 671590556, 968846677, 114676221, 18224900, 409913146, 498825903, 458790035, 230632046, 444947940, 448589158, 992042937, 385322313, 514458127, 97460724, 826972663, 493855246, 578538532, 928061498, 470878808, 440010370, 449345759, 86259978, 964464308, 147277355, 265393078, 40406366, 305638218, 591248296, 997227358, 286771748, 947054646, 443565614, 235324071, 173721889, 729551250, 204423269, 66669347, 977033711, 622285499, 837919406, 88086789, 352159772, 568300910, 661170440, 36651071, 655134502, 623327034, 888665391, 784626895, 651357368, 968678727, 407214940, 157022181, 165376421, 913025949, 797301149, 96788561, 391087087, 396735878, 41689546, 869159650, 453496001, 994736828, 683524301, 849381502, 887063964, 204473051, 977315162, 88961882, 140919961, 256590503, 447965640, 877618327, 30416040, 229674134, 655303579, 85856250, 95005140, 797259698, 249004397, 996526674, 981191427, 731009986, 226998032, 781474124, 898544461, 866610105, 509269067, 124085398, 952045983, 228723176, 588460743, 439147458, 362229570, 709013580, 809855695, 472408892, 185470235, 281079096, 286488182, 295529166, 978547497, 791749480, 704593938, 674028004, 981580788, 303235994, 748995582, 711074575, 86345645, 965270414, 27547641, 25772171, 373472897, 805840741, 277527583, 11831327, 42422636, 701398740, 233588261, 978410427, 164554369, 47865131, 133721005, 510708059, 641925024, 983286568, 539046058, 116898544, 476540228, 559944945, 623606611, 772571542, 78061068, 15366223, 310867771, 347371920, 259695860, 733123941, 32837418, 718390603, 687709109, 841281211, 455890362, 611861241, 841107927, 453578772, 659766434, 388669125, 185685897, 64626587, 882921891, 773756403, 99666528, 145152957, 272017312, 135892933, 601794234, 585770717, 503642500, 960223625, 587203750, 990923919, 681436120, 260005417, 958800543, 754720914, 110348614, 134377837, 376655269, 565988530, 863806482, 78558818, 993357517, 831107832, 280071336, 185298647, 235394731, 204011378, 998289498, 576774641, 946994567, 150068109, 37367480, 282285753, 384493376, 854819010, 944788498, 32302095, 750254343, 791286211, 418755359, 931015041, 342352971, 742201610, 905783633, 420363469, 4991115, 193141038, 27068657, 702536853, 532720851, 142789709, 370713794, 376726309, 926545806, 817657569, 650447622, 684022549, 539800236, 58065255, 345477728, 776882193, 632758844, 715000683, 960942372, 55123402, 505846347, 699373791, 600721036, 463104561, 589187038, 234160992, 451992678, 119803436, 974478951, 204206283, 895776722, 563186693, 681980096, 69732416, 439164784, 688001799, 463271921, 346487707, 377423740, 866886242, 678851010, 862007248, 776044374, 461391060, 125142551, 140973022, 805430945, 525730892, 859475023, 897886216, 651472028, 825375084, 598665292, 853097580, 901562313, 410399347, 642075096, 543093635, 77245170, 192869528, 598924599, 415503235, 720661265, 412693013, 821335728, 839128974, 781163627, 789580782, 974985727, 354875135, 819232642, 893118187, 346619374, 461412383, 344289404, 586236567, 702821076, 473078953, 429846849, 762805954, 49893455, 224680395, 396513429, 510192132, 233235323, 501392058, 989858071, 435783512, 479448738, 62985713, 122126468, 620789000, 136833235, 903248636, 840195464, 32524504, 183103970, 275418129, 647205347, 602763646, 278900140, 761330644, 804103328, 992506708, 297551323, 793957928, 572349507, 410444914, 190728172, 937537627, 420999765, 225144539, 705163560, 465495258, 127354674, 237286619, 671360023, 627810056, 546532556, 58905212, 990738353, 242727664, 638373447, 606581181, 761591539, 294185303, 270869625, 90481830, 383262384, 655866576, 9335057, 380811675, 322038908, 393713075, 164293174, 789988898, 461405725, 497354242, 349621170, 549920952, 849341126, 162402404, 437873678, 389432107, 892786956, 231914373, 639250063, 121730177, 300770611, 434285145, 886959937, 547271706, 102333456, 150322067, 231377278, 964770493, 766583725, 647997915, 700469153, 452995630, 745711142, 173756320, 161550184, 665559220, 856021818, 173304921, 476952055, 172774212, 635850173, 400363240, 192698739, 884855387, 308703269, 365295568, 196650328, 609556517, 560998578, 361631971, 951646424, 345872638, 642529015, 607938633, 838199494, 904845185, 36482177, 298944863, 363880718, 46999042, 426470692, 826430894, 819889370, 862434390, 62734672, 423131112, 216151182, 821484269, 16632260, 269385126, 856329672, 800927349, 862332615, 104697816, 930842509, 601961159, 47274575, 170314276, 515311784, 206878824, 343550671, 135816285, 816335157, 137764313, 628840142, 522811955, 261005298, 461308734, 910308833, 63525632, 554608972, 339567732, 442546316, 298721657, 992204930, 379195182, 359963983, 493486391, 985328959, 919838702, 253039560, 462745421, 569513722, 404011851, 100322754, 920075754, 426436875, 498122370, 97223513, 415008412, 724797092, 193478271, 86062243, 301768862, 587533123, 51115534, 861499068, 983703049, 784053792, 107965203, 544769337, 722285034, 187372124, 43156774, 547312812, 960542199, 963421988, 425074510, 463100934, 148314464, 337252785, 921599176, 478673057, 899831797, 151876917, 326512411, 787934574, 537191618, 260956691, 356818389, 597231775, 213892882, 77089563, 718061716, 331410468, 29554601, 9105137, 910372412, 709082263, 266844064, 900678635, 841506996, 326521650, 882351399, 770668404, 714984351, 436444539, 171759254, 252575292, 949319654, 909871601, 605880418, 178351218, 296041799, 106357159, 11334689, 360388530, 170979566, 786256087, 655949664, 360445653, 825163202, 566144218, 287211844, 294695434, 800707655, 428516566, 82349278, 1513730, 869645462, 195436281, 943863714, 752281156, 890919313, 866217822, 212349232, 427253630, 208713803, 336359734, 650886044, 920727930, 858417103, 683961623, 561330179, 349656121, 996882057, 300383352, 117317432, 454640362, 790691206, 297313562, 338944291, 767195547, 9654694, 190015823, 882228869, 891416296, 711376963, 976563841, 250738925, 436759261, 832081939, 543181505, 12652324, 719578992, 655941169, 659436660, 395170313, 351442570, 790202583, 731529435, 238172120, 594338932, 617660043, 460408671, 793665921, 994692138, 761247825, 424116001, 361105849, 700321100, 389633646, 289292452, 374645850, 842502580, 48777746, 394023122, 283443215, 135640637, 422409135, 536735081, 209084632, 146904954, 258657239, 246344290, 737439395, 79259863, 647897930, 542800681, 293528484, 381851659, 877692189, 571009670, 843000755, 989758612, 599143928, 36277369, 620072705, 259404573, 686741635, 349963357, 200275310, 114853685, 681226069, 109803830, 261868438, 454002732, 646839715, 682927492, 455306351, 493202348, 481496718, 153003614, 257596610, 996475951, 358975743, 725075683, 367695390, 883608302, 473338961, 793006975, 576793504, 479730315, 671868995, 85174998, 669373197, 745066312, 301774371, 226903028, 440161265, 318348463, 289318170, 825613355, 981822670, 940935570, 420254866, 808798797, 374734765, 135526773, 185955919, 543077507, 36330248, 769778638, 761991095, 700328672, 907597735, 783075756, 814955543, 746117199, 995856594, 570633959, 611839280, 202882714, 679503710, 640668580, 780963218, 659747276, 346554419, 729907514, 503526684, 247620542, 502072449, 843447899, 251076614, 397535719, 707760528, 634713947, 348309511, 447838947, 714146092, 251135610, 729102283, 18067815, 845286182, 359024970, 444782805, 422288216, 550496408, 803372316, 308246837, 355539913, 425527065, 947069928, 591455399, 853912383, 697373399, 166260254, 575797622, 217030224, 713066950, 793828310, 313509278, 646781504, 921316841, 8288238, 78063613, 831021910, 257911749, 550734454, 862089265, 862702103, 509941772, 226365566, 81075519, 908500265, 193143978, 100934664, 60850665, 429104473, 14036086, 548732957, 276309549, 713750240, 692527920, 452458673, 97675723, 673013692, 6146452, 905913219, 699594741, 974475712, 743018215, 730449488, 961310274, 755357870, 582246469, 486064033, 873883950, 884958852, 712636477, 883527129, 793279214, 530233455, 212457632, 903681041, 989593713, 724201519, 709139499, 14766469, 188964355, 849178637, 902053305, 701293319, 169337026, 121551527, 866421801, 634296725, 563293153, 454195523, 608490619, 754649756, 960211167, 522917556, 455008773, 446212943, 704632127, 554818515, 732672658, 818154443, 647812258, 588453321, 872764781, 727394109, 282827928, 907152596, 381581635, 32836953, 291831822, 681416378, 296565197, 650236529, 978506961, 237628279, 442049718, 859018214, 252358072, 19876323, 655059675, 701937045, 775517730, 964790471, 640241971, 472900153, 249388588, 812469604, 541292630, 415977102, 399392757, 904835592, 800958124, 60534654, 257488042, 997491158, 915399565, 285839767, 437477008, 827916407, 418262054, 673397142, 640265141, 781465715, 139353327, 106911151, 989059545, 561937884, 879036536, 926432405, 479330104, 919880512, 650683500, 478610431, 560986366, 347376401, 637737146, 110953912, 857457337, 391764005, 976494687, 632660308, 921024647, 985147545, 636701795, 4489000, 65188949, 921673201, 697821131, 193526773, 917321933, 374797665, 962592992, 314887041, 433299954, 72500135, 887845758, 773526180, 936863473, 514968656, 212986168, 730847123, 376314381, 131542803, 713358820, 522011894, 422673631, 468838859, 530578164, 810746699, 643115407, 372210472, 624411881, 117286810, 771604716, 924416241, 220238837, 349856478, 440785215, 985488396, 796737453, 937270615, 57490506, 992743045, 431529498, 25676287, 846286374, 258031104, 539332299, 762350153, 203636094, 475776338, 704518567, 785979519, 840692764, 701922991, 575640950, 816079493, 658558077, 824664782, 414969191, 626327027, 882497385, 744751338, 811309754, 835032097, 804306609, 346484802, 819908136, 51360072, 87936829, 588813229, 571237463, 756279621, 131197148, 196761212, 586682185, 777570896, 186068422, 319696880, 426982428, 323161637, 817768454, 803601574, 814114087, 760613951, 233464055, 575289907, 124373489, 612136104, 100253413, 916600497, 532456812, 733030908, 832138447, 472130089, 724950915, 809230764, 229336617, 274063025, 346103744, 243170533, 388581795, 392737952, 984034038, 357635065, 9644038, 114883469, 187976818, 479635105, 192000579, 816608600, 309759489, 516049677, 667867321, 162740867, 586000593, 713242969, 490288711, 113558043, 970027878, 546386683, 425104968, 830682868, 76348024, 423881816, 415558711, 586549647, 145607826, 446738210, 984555781, 418336243, 439803557, 953391141, 488068154, 442422728, 150678321, 936208413, 224578758, 744301545, 140495320, 602881523, 334067954, 641562607, 938611891, 513144912, 41309900, 351562871, 317234065, 405119269, 902669073, 682756809, 461441405, 694558494, 627628275, 83560412, 517927837, 544366983, 112638806, 147355817, 732916880, 674361358, 326588048, 8922707, 957299214, 907198454, 309397959, 654217650, 704702046, 593023276, 919753245, 404575443, 838703436, 522698415, 106366518, 815029104, 380621314, 166070346, 848089860, 463299859, 686272355, 980518510, 462476509, 98838868, 771595022, 453174862, 317787366, 764404114, 619312369, 19457529, 191377603, 891874126, 82769594, 180226081, 800036338, 906534633, 583793729, 363317607, 394382778, 447663748, 425004675, 364430327, 890696254, 79757751, 725704926, 736719711, 757565609, 186115226, 89098457, 815289899, 936360444, 654495069, 974495081, 361733252, 878963864, 872293285, 871684325, 614025500, 966245100, 119971411, 561973374, 11795220, 160799619, 990752739, 306781904, 388342988, 700247036, 374388718, 80284970, 775341312, 48675002, 656912707, 42215521, 35763230, 694491618, 660880833, 291809634, 95554624, 264812750, 880006076, 869295036, 975623734, 642447063, 280372307, 508095761, 10302984, 155723628, 99458798, 654875014, 955316325, 275374975, 261430872, 808243975, 549345266, 607460048, 684560573, 636205339, 118910603, 222455587, 106590478, 126315663, 54763351, 653437449, 745268422, 688171473, 861926298, 677638171, 512642654, 666219366, 633893230, 942983131, 680324129, 318696854, 996835557, 985208111, 675908767, 245787446, 372585731, 831356740, 885218192, 536926778, 843440502, 707433562, 562101548, 760792649, 111288202, 141245921, 694139806, 221762693, 555819791, 956123647, 417804974, 361920528, 79767938, 101585075, 852088068, 57311784, 265459962, 821922662, 452684471, 5631530, 673330321, 532858314, 575087618, 448898265, 373361990, 357965046, 53421597, 880014188, 717245206, 189084474, 408825936, 872453532, 873946220, 738536084, 891896460, 141185246, 111864066, 423992440, 853431428, 425128439, 974314342, 135451562, 66887258, 859537966, 17615308, 593831358, 817822793, 797424316, 318331928, 106232649, 33687172, 262962413, 81134803, 803328284, 388507815, 464418993, 925362009, 470353106, 237171847, 470437132, 55103872, 163201473, 870774679, 109967396, 221489978, 32533184, 178290380, 425622630, 778211346, 927302433, 610350628, 150285049, 369770664, 374978638, 191357068, 728830894, 710315554, 300266585, 105340817, 609032739, 246391892, 942889798, 443049254, 599136805, 74560515, 302748595, 834486334, 753451703, 822873308, 775136722, 516595944, 485130549, 706068855, 822477359, 136532978, 157314574, 341501867, 232572229, 175578417, 50707498, 530936275, 891077181, 626793556, 983627825, 359214713, 398088894, 693328073, 94847666, 661003042, 951821784, 846527720, 582960296, 550590927, 155690391, 216722217, 705550155, 562210045, 487053389, 419911484, 390933857, 184641905, 837030444, 994573000, 764904683, 830344169, 629927318, 130434266, 578093297, 451998851, 21073731, 515579517, 78034590, 350199876, 450573128, 367313683, 707982635, 884290957, 231198902, 60923075, 885914953, 78662388, 324134437, 914907864, 415304450, 539348808, 841284960, 584773440, 920163586, 928491721, 129078001, 584008260, 39511485, 876413509, 603368407, 636989327, 353512833, 571325592, 466785802, 74676420, 590837382, 435550097, 706753689, 219633781, 688407641, 186197062, 310930369, 326836890, 622240534, 427405814, 211446665, 9754488, 46982737, 519150188, 662121788, 915931465, 878199306, 737921676, 571339034, 823863345, 561073464, 423722571, 187179115, 650931837, 449021848, 717738126, 569087817, 896996119, 319640176, 818190235, 798625797, 629332636, 379627020, 921051767, 194367868, 127828495, 378642580, 142411921, 194152511, 989503405, 391158276, 872787872, 653545716, 469238075, 364839320, 602164401, 963153173, 67714248, 886047915, 138881322, 199675923, 423694185, 734785849, 663852887, 876040855, 954133193, 749495021, 968473792, 354434032, 511973602, 203974420, 517473401, 799760629, 925625978, 251507223, 688792997, 852976400, 921769467, 169241715, 631002899, 408092794, 599129394, 78151745, 734920141, 527795782, 360046688, 828832090, 2199838, 858544576, 485760523, 923574112, 119654945, 43520402, 678517720, 963374614, 357215099, 305048045, 890059729, 220597366, 938492329, 202112051, 221863000, 244199936, 857393017, 29428243, 65935739, 301978803, 120095041, 256236628, 294141261, 112483282, 432074194, 833454064, 427217237, 130617017, 147489765, 325686392, 518469521, 968711335, 947363702, 774142586, 906384329, 532942851, 399249907, 777480366, 166238399, 93290290, 189085229, 463077183, 170569166, 404994943, 532652600, 801672045, 144418563, 461207717, 483975503, 87919998, 413722885, 556075015, 192029059, 825476816, 163615426, 803842720, 703599151, 923978527, 390851286, 271672382, 472552476, 884948050, 320143080, 344361890, 544615214, 662675730, 735339983, 462753312, 603577743, 770098743, 418674149, 590121723, 472033907, 260813265, 495449169, 510863586, 572169413, 303926215, 334475959, 894459870, 189295393, 94597570, 501762649, 792071064, 380237433, 456966372, 654517180, 563584078, 186002595, 645474672, 811018149, 322083614, 773690113, 396465706, 836018056, 492466742, 596889182, 914604256, 287242596, 524874720, 499343688, 728970952, 730224462, 753740617, 306544844, 673778214, 828565091, 690413118, 707782776, 65132317, 227278267, 233876939, 674951472, 799757717, 456565004, 788994289, 390233455, 797368452, 512454677, 212250790, 506801446, 298147805, 958565692, 925042572, 944085763, 500112976, 441334045, 803967836, 147238932, 886475283, 878321295, 28187919, 29789021, 909212425, 793808024, 77686052, 186524862, 149782761, 232751943, 730336935, 339014696, 541613942, 461041180, 815145463, 677251377, 688841614, 519834559, 815861578, 210234072, 482431035, 649492631, 295242936, 643429900, 146074440, 791072589, 14833420, 945018623, 191739418, 700956084, 347477176, 368521557, 45329050, 510290900, 409798458, 946015702, 732259375, 472214798, 308221349, 14024251, 617451592, 729592859, 129580787, 251132976, 763382685, 762960870, 368847370, 791465389, 34644645, 893122317, 809205638, 171071124, 95933531, 906335758, 179400391, 578920503, 268775092, 175524410, 545816300, 982608293, 615320162, 337138429, 160024463, 950760017, 188330695, 383210605, 274363988, 785766875, 513018603, 278330821, 767610138, 463967108, 48132923, 959307282, 173178812, 106273227, 751317760, 777775084, 823542485, 510816522, 171586076, 345913003, 461399495, 551139699, 296818054, 832141339, 714757833, 668841857, 6239059, 66375880, 539860191, 597857154, 98665655, 628501588, 535086477, 630994518, 507930018, 531580878, 865226366, 731738256, 935365869, 24352679, 193176389, 584115369, 222271366, 245160116, 658974155, 84672262, 978704989, 690373093, 863497439, 484828143, 877255404, 266352060, 762398352, 257690505, 939810511, 72875426, 253412351, 484223564, 223757294, 537911915, 145499986, 98344884, 350505255, 156514831, 328729540, 374451968, 756305373, 251015971, 652856223, 509882997, 550475531, 239576173, 929322420, 383871465, 100487323, 687817622, 838571719, 388345923, 436445106, 7885532, 974026499, 423169044, 356168374, 397323438, 462377064, 881897635, 114150420, 877823436, 667980386, 142675619, 842947371, 495753039, 30440570, 102485868, 856132228, 181344002, 947589104, 341501910, 651881894, 5865341, 674831911, 949352176, 400012594, 64732798, 106471599, 302279031, 802518204, 560774411, 689726674, 989560548, 422113715, 351180728, 825537537, 367011591, 170894491, 213915783, 500481032, 753467956, 956920694, 393646153, 202447988, 205375358, 341011555, 42702686, 573726800, 130118003, 230990849, 119288449, 798814985, 675320261, 632821417, 150701836, 725867308, 745930922, 782485640, 845406581, 282904555, 946201656, 510056627, 754865319, 133505161, 111776133, 964542694, 571267972, 427138231, 583335682, 235039620, 759689510, 509200186, 426257072, 643636168, 885775563, 957574886, 590676670, 379718424, 604446480, 232145973, 393019459, 430126488, 526870843, 807921792, 275274346, 742615616, 471173663, 433904255, 512472394, 161071692, 47150940, 644623638, 901577738, 219663947, 514032150, 914383714, 809060921, 660279998, 775566232, 696621472, 698118064, 127304149, 351581712, 5087985, 485175792, 482286817, 557676836, 646381666, 597043448, 943714531, 122745483, 162479035, 891628909, 922637342, 432652036, 212955457, 287132663, 183497530, 704578140, 283488569, 415000556, 248051612, 29198434, 317317699, 682850229, 658568098, 662264518, 819646552, 566369096, 798734251, 992903367, 360545857, 770117481, 191616289, 153114037, 258937109, 975439078, 896697306, 244884946, 251696193, 904491547, 88600270, 365063654, 368998843, 794183339, 930745090, 829376618, 268862790, 391472863, 686175191, 470766229, 236890649, 874501788, 647563389, 987435722, 984253514, 480673058, 928933408, 902923500, 420450563, 734594180, 101147111, 829453503, 257906018, 435030209, 392775392, 546886840, 55807219, 265589592, 20633644, 740545455, 687598057, 412887336, 28022988, 715183448, 327937018, 748833678, 463287049, 465251617, 969255483, 407182690, 293519242, 745241318, 628782531, 847711730, 620129620, 941729679, 924383382, 626568779, 255140266, 843762659, 305137455, 476539642, 801314593, 160371289, 376465919, 750008071, 254836121, 637666913, 4623445, 677339302, 192894294, 589422681, 82856760, 55620383, 54802667, 436163404, 545201919, 276977929, 126791454, 352360216, 478848834, 296194726, 846060791, 770279965, 356110416, 436469995, 696141908, 560241639, 206039978, 361639052, 963751447, 446597069, 569961949, 236117376, 162204406, 46791261, 442258682, 62889473, 373368274, 703456332, 765516730, 90163624, 942094242, 825285954, 934024972, 493497264, 298432370, 321088785, 749912996, 972081568, 395297053, 390043499, 908868394, 11904280, 172998691, 883758689, 920326576, 562020693, 610269420, 529939902, 672529315, 652934747, 360005869, 295243535, 587652232, 754893820, 249320260, 118366504, 552360960, 148287526, 926158729, 728179947, 240499881, 874092906, 215778848, 731526216, 895058098, 952603108, 706803245, 191913258, 687555788, 420083571, 254558296, 646905909, 204014386, 333572309, 493363471, 730632026, 389032755, 158304670, 329728434, 535486608, 315881556, 976221900, 482762471, 333783040, 452225678, 384669587, 750734493, 581634541, 640538435, 739993837, 682013924, 276294106, 12704395, 179494377, 871332924, 770671314, 262084448, 470312427, 654656994, 113538074, 390960552, 825151172, 464065271, 784477590, 516093706, 662668648, 720169380, 275718470, 796180415, 725243099, 747997405, 473583852, 534248180, 544869491, 280019157, 898528932, 839933722, 517327546, 324115693, 33512418, 589129627, 645663375, 339786439, 445205700, 321878697, 835666517, 188430161, 554115850, 83809604, 289480407, 652014086, 458092083, 881354002, 802841903, 371763024, 313018031, 888160089, 874565843, 204910655, 32709993, 748058090, 507759397, 669341356, 69056719, 25140097, 889564169, 81310379, 153765790, 519527849, 263071738, 846655343, 988246859, 23547256, 64274358, 309621772, 108091722, 44823037, 306018774, 375458271, 824348293, 637291909, 849569403, 488901391, 499324847, 90698282, 237153472, 740956963, 485385145, 895416057, 115231049, 583237280, 103559863, 96141361, 802459728, 683768088, 383459676, 402027244, 193973670, 655502744, 830079928, 359944782, 942091219, 621166010, 629102536, 158282962, 682825849, 584527540, 335657192, 768812641, 769354957, 810151248, 14428302, 918014017, 318111384, 892500980, 868058526, 107894078, 279538251, 574862512, 711465816, 391561161, 353558186, 558581617, 712599124, 199415579, 142705903, 423482618, 707665306, 94835936, 518070631, 771844394, 42331016, 241478274, 457825668, 701526314, 811461054, 298256107, 532835505, 705893376, 163035128, 932769786, 877915393, 148729522, 233736901, 797247115, 193514292, 79715625, 567316232, 949070633, 223404013, 146450084, 743159987, 984944857, 470724542, 351022513, 580337720, 861156281, 960783877, 988163582, 56205032, 657861261, 119928040, 933146084, 511151411, 214054184, 720952062, 74889359, 316345372, 189197953, 696073840, 540695748, 75698490, 165104884, 679725866, 420650185, 718699715, 963945751, 646317172, 26625004, 252346631, 6326784, 551259616, 745239928, 354265268, 379868289, 711567671, 713558376, 731286970, 579105455, 867918966, 687727352, 625444777, 92666031, 961817505, 610218336, 75135649, 631865402, 134775726, 934137480, 917689390, 412146838, 39621797, 709240423, 144341612, 823020667, 984062397, 427099887, 924357087, 975390144, 107653330, 848520369, 823978717, 553302030, 120258497, 808217116, 125872550, 206532672, 510791812, 128998629, 428661430, 86478712, 862702907, 89193944, 110447024, 541833339, 518927928, 661817757, 359826441, 990029790, 454439069, 188363543, 735287629, 339799374, 241024295, 895141187, 696354583, 372031987, 835014018, 652522659, 806270463, 184934619, 362439592, 718494745, 60904349, 107390773, 397483390, 761857634, 986271058, 558024332, 190278615, 308412513, 602878425, 679134443, 334113403, 119939461, 429633423, 941842105, 801183091, 257278011, 780044944, 262986606, 572757570, 873642366, 555369914, 858514273, 122621821, 410470942, 174216592, 328239892, 760252284, 269055786, 561779992, 742623797, 783352015, 258521569, 36706354, 355302536, 50312117, 867585367, 379317911, 35169262, 391865832, 192563536, 644252925, 985314360, 945851484, 864218193, 840102992, 710948752, 731908037, 183294757, 709886093, 34870060, 569724765, 502334582, 772889827, 286765004, 599366636, 34806415, 308206755, 244150557, 328643969, 84285611, 370617433, 441908180, 357813132, 989587954, 397089111, 216099352, 825526942, 329735761, 76821680, 108299908, 803154173, 644492201, 872730523, 414289756, 481989548, 894829821, 454256298, 448013175, 596336652, 636112830, 557663050, 88586296, 657226686, 366257035, 991818586, 45977711, 278334772, 428542779, 830536130, 872401720, 225216559, 427011929, 440832032, 232423610, 202980786, 786417221, 436903232, 317677208, 382237213, 796306773, 832205863, 953185660, 441222594, 244645732, 798657208, 377363307, 14648115, 887982420, 179918376, 61753173, 275830075, 136766512, 359187691, 951145550, 17058802, 842466289, 313273400, 138197374, 732098826, 820502450, 184766102, 887714849, 942220145, 93783981, 480391122, 564897458, 737492992, 820546126, 857762254, 310572772, 888431620, 577687433, 751804303, 703713661, 97423096, 869564822, 203930671, 662573479, 559014282, 694656174, 109619805, 177692062, 430570041, 293208523, 166824624, 225763182, 165748608, 115251272, 793991584, 127874452, 936139284, 270426309, 70939617, 143448150, 79595633, 654637863, 660059659, 525890005, 94271328, 589659189, 885568008, 440396376, 228310495, 592596625, 256569122, 590117724, 46236972, 435860259, 902392322, 888915267, 415165988, 355383313, 250024706, 782666244, 236068076, 599478943, 182305088, 110289236, 674190562, 528420000, 318216519, 775961110, 558385619, 84857305, 689239298, 768313078, 9858758, 429919545, 404618535, 162434848, 888409509, 845971391, 623749095, 934341361, 205464012, 322099004, 529196818, 361437204, 762920255, 559217615, 712657435, 982461612, 147733352, 96695180, 44747943, 749451861, 91407470, 741542438, 487661475, 898822858, 2712547, 351303445, 903833876, 577926809, 386540403, 440550637, 599036842, 593118009, 573548010, 953981606, 438367585, 556036186, 160631931, 144476531, 497636818, 537829269, 938647419, 648711480, 962911105, 122419856, 509265594, 93458552, 616286509, 320699713, 830129952, 790884095, 707354421, 297131210, 710159504, 897642251, 343087014, 622601107, 619718908, 940757977, 426712591, 722864827, 801971157, 425943160, 368461632, 335884685, 212562535, 100143164, 684557999, 216513708, 253484433, 785179545, 383423948, 157884726, 104412831, 172990370, 825879244, 933344630, 89193930, 759423480, 668970639, 443474682, 360666936, 113681364, 135526993, 962782833, 283216173, 930212195, 520825462, 621012610, 424586012, 402946653, 557803224, 508398581, 719820073, 273738884, 245693430, 974544575, 909608002, 802497009, 767073392, 232719969, 194635034, 53883987, 612393575, 862803394, 702146867, 614158348, 674023804, 22688994, 393922556, 336389831, 341045857, 170437245, 864200317, 467377735, 698406805, 216301208, 726314826, 816904475, 338606210, 145151939, 721805354, 305801697, 536757511, 856934447, 232981634, 998950298, 825299130, 117074878, 714673801, 602669359, 569313464, 915493288, 333444096, 925010480, 288281766, 326354132, 710666449, 670224741, 249329045, 537133684, 128380112, 296076186, 822181080, 170217508, 719034559, 241827561, 491543970, 841737540, 533062554, 590272935, 617777279, 8321195, 368226686, 125612212, 393481059, 867942649, 374990875, 644696211, 980375781, 257325825, 102485220, 218024700, 708844177, 520984295, 965164253, 128497323, 174435209, 225416749, 475449817, 86157745, 903573205, 62676266, 999651097, 187827466, 480978420, 438558990, 731800709, 147895340, 709410777, 207621195, 404243635, 511155198, 822295457, 972965181, 926864872, 725800386, 899105742, 740573865, 561840627, 618780807, 375092062, 739387054, 81056399, 192290041, 779750705, 571569199, 799033182, 907923189, 798261756, 381197804, 61258231, 416760798, 649657701, 427057664, 199574252, 731268725, 48741658, 199582188, 862216154, 121275805, 370814637, 428033053, 274307961, 209403150, 417428374, 581430597, 874214864, 362436318, 724701754, 770659112, 427342588, 7169680, 586736635, 216412437, 495290730, 247035007, 620744249, 617300848, 515575914, 184139770, 780053042, 147199860, 77711105, 596036543, 130778919, 789598639, 689083616, 437482557, 145420222, 674912486, 382929764, 202313664, 426282257, 734015296, 476721768, 268099782, 459151872, 425140250, 425382351, 253413718, 792228278, 243300472, 644533861, 154959103, 165976815, 845493762, 501516175, 298629022, 380014337, 237439781, 518202548, 361097802, 540543496, 958259792, 546853606, 113957800, 734121282, 109787225, 137862680, 746715286, 688279283, 788509967, 541102594, 196717648, 780812829, 949633099, 18753885, 471673117, 46063738, 4310394, 525686377, 460579465, 610198143, 74993847, 858783171, 799624099, 518501402, 101777365, 452051845, 627233389, 371924176, 981619161, 809095987, 454250912, 49253889, 531183506, 49094053, 767832575, 749718729, 234904330, 240057536, 912993648, 733138712, 67454908, 102412256, 534511509, 714014623, 750591692, 358242948, 698914308, 329170993, 638577338, 214199965, 401708544, 203714827, 15761679, 631965686, 24563524, 473822732, 446197987, 514987551, 716547059, 756062648, 894381928, 547132416, 297437330, 535313839, 115216942, 386569736, 139075661, 82129828, 684469533, 546723292, 817577296, 614510839, 877561441, 961201094, 968568753, 669329857, 917830423, 995141867, 156048176, 396256863, 576752276, 712865897, 480222744, 290088454, 338355137, 784924422, 558735332, 408872312, 405135255, 860923206, 649360449, 916173792, 856129031, 70771648, 495458871, 555660932, 359743672, 839855388, 78325628, 199918602, 366170004, 755987065, 310939322, 837898837, 362594955, 282145138, 994637217, 363474257, 35872067, 890731126, 328921366, 951598952, 879826282, 815376534, 111293821, 849807640, 508558397, 859527179, 669364924, 361374896, 555593563, 831733076, 918621025, 453450459, 364118525, 960731253, 606186967, 526127088, 434692658, 750941216, 254251628, 760138928, 338116656, 995653643, 669573976, 975571508, 867283968, 82266565, 821027547, 912993841, 216282737, 562785394, 824820749, 699761082, 405850222, 165257969, 43982116, 337487989, 85288207, 903870134, 477889168, 398294131, 877260236, 208946319, 623270141, 587142952, 968497694, 537473676, 389042821, 351444527, 78333607, 958659411, 956062376, 13970319, 121156751, 986809579, 372085348, 193647658, 852796549, 5964690, 965133144, 80815201, 636409274, 256780084, 993305992, 907516328, 221495058, 771967911, 625871828, 388212111, 404988229, 413856951, 62947790, 131873222, 938051463, 653498950, 221240136, 934502620, 416723984, 573421923, 454133935, 598788114, 588650938, 105529281, 206721864, 229823751, 113743272, 703380383, 408033873, 503385364, 154688569, 216002477, 320260507, 731798905, 649339934, 95722290, 604977220, 49777938, 415188908, 881562163, 503888374, 897437256, 690279279, 215447411, 224799896, 361769122, 230157215, 846508574, 162568319, 685006248, 314445334, 812662000, 590370376, 279370358, 603018559, 421181682, 610872879, 464473861, 622641185, 12007884, 963603635, 452981157, 428011682, 332378626, 38126152, 179858011, 536169851, 924034203, 475573729, 303378807, 288997523, 419480330, 383859487, 324170952, 688945504, 924192985, 961547806, 883893850, 533683426, 799320404, 314744693, 303631977, 739540811, 335768920, 89184592, 133378072, 437037933, 33453680, 112939092, 149019071, 579357913, 133648002, 808902351, 155640548, 421061742, 457086435, 386977664, 103425366, 732468855, 851981616, 867413392, 968527753, 718240507, 859675910, 392543612, 113812939, 428674482, 986252101, 793516901, 342898373, 938958208, 817170018, 968525020, 819517424, 498446647, 137360744, 18866470, 935356961, 626448561, 677196242, 322219784, 125805443, 596104821, 915709891, 533404350, 315459774, 138434297, 621797342, 109257705, 883791781, 4219220, 124831669, 892767167, 315242656, 636697622, 958510219, 823812249, 112828112, 959476400, 46220013, 37156486, 354793200, 619599485, 954001330, 189654506, 771685104, 778222573, 875227656, 982771887, 615455996, 32288707, 378077771, 236982339, 681624124, 13918967, 680352843, 696147487, 261419734, 73005788, 707534759, 382769920, 907277954, 976724625, 42307132, 407426291, 911084189, 430819448, 581342824, 345246534, 794477026, 346328848, 666383969, 419002151, 516766041, 599110332, 316831841, 655353816, 119485564, 93882866, 108611193, 411854227, 7066937, 954559435, 648487543, 604329275, 280218694, 554177373, 71215188, 155441048, 198727658, 154314698, 197254125, 582756073, 152552004, 708573406, 463953334, 138022478, 859415403, 700964464, 90143636, 959795111, 308796574, 539359961, 695132229, 52018842, 7869156, 754150615, 581600512, 431819488, 75869719, 550802762, 876506787, 352888672, 735649044, 71028723, 477502403, 674659526, 137000191, 867466954, 626159001, 86151185, 652163675, 875459737, 931747826, 827899151, 822847113, 444691524, 917283716, 538008540, 567887668, 942238825, 582789494, 900696339, 312179893, 519118629, 156722027, 588166313, 394695248, 623608245, 748454192, 624977311, 82077857, 914408336, 679286071, 463058966, 964466499, 439887762, 630055531, 414411936, 435955145, 486530787, 985345523, 131845973, 838171801, 15580441, 407579483, 250881447, 569935283, 195676201, 471682619, 136748040, 652985196, 845798274, 977277345, 969281985, 562769658, 954677164, 336645103, 846700035, 285227830, 453397000, 66246726, 372786750, 154514671, 225363784, 140519100, 24687124, 196750559, 463099077, 559003600, 336489278, 268740551, 9114222, 357265515, 347831369, 583238201, 63132763, 818981390, 80707007, 394908963, 496756482, 352926999, 913097545, 946064198, 685666693, 374182832, 565275100, 992963212, 98678926, 394042864, 907703474, 892097647, 39244483, 742158582, 648579740, 97567708, 845472327, 371509011, 692168526, 442052983, 358555355, 858690395, 507062175, 825495951, 846539122, 700772512, 484807297, 34618534, 173075709, 431307067, 287930543, 859133969, 849920311, 660956206, 951891196, 979111212, 154702810, 830059573, 691029743, 98030433, 629225990, 287454421, 541525369, 295665213, 579711639, 181707303, 270863340, 826206533, 129918529, 226949125, 393813251, 27632199, 219599102, 42533580, 906427937, 142523298, 210032413, 903611912, 45898977, 632282466, 170311728, 998318657, 782251127, 607252314, 334207179, 142840357, 575826507, 70011166, 151340577, 725782952, 597523408, 586920757, 592529654, 420145717, 483133709, 919399536, 854847708, 288529766, 504429740, 62778793, 223526246, 789307417, 554769911, 650793356, 632505518, 507388716, 819452503, 398978522, 292778334, 129662033, 242587223, 337804326, 317350863, 892107172, 591864272, 286095755, 578227659, 80740532, 352456221, 686798859, 505287351, 381946953, 275356746, 883240768, 72372131, 347498435, 327609495, 145020051, 710851393, 436270804, 803553855, 230958290, 381343268, 987714180, 993609078, 91828268, 40496139, 176926963, 175088491, 291588840, 399477269, 303732580, 579229267, 820426465, 41257135, 833532519, 40823139, 628465699, 49688976, 31578203, 364657981, 585081753, 803666943, 668280831, 234571486, 641600563, 762733126, 610818138, 197341048, 272608622, 509464408, 619127444, 736348753, 286157365, 644361130, 979817532, 200295736, 179934071, 881989235, 964815216, 838066074, 76045281, 613124107, 845896278, 485789107, 288835272, 230484028, 447081096, 474265689, 107641084, 923818902, 516317009, 500887889, 890078653, 60052627, 52863095, 270362545, 323929289, 239412132, 251183825, 429910781, 257122297, 109386714, 85383694, 617455578, 73516378, 320482474, 823752827, 569065284, 372311029, 652924147, 726189763, 643757153, 273322210, 949372126, 224707978, 292681603, 961759899, 811399092, 737071839, 677746745, 999342689, 969732344, 189852076, 13000244, 613414535, 177928398, 879316091, 366974990, 902089072, 939516654, 464478760, 911456267, 857057644, 258394710, 290913027, 715221496, 572782269, 156459868, 252295374, 527185866, 699351588, 417794960, 676032008, 99830089, 97719614, 851428761, 61255178, 909852889, 78552145, 42902976, 587698628, 292615921, 856360750, 766970949, 649594043, 599763752, 112763470, 281984507, 456968251, 635504646, 669124255, 968089339, 398857258, 651559390, 49429897, 693840498, 970522429, 182354286, 785991061, 312236519, 336775518, 572052240, 2720985, 940483566, 3266264, 787718820, 332615506, 179111803, 814014864, 440471327, 686274294, 337675153, 433224530, 923814779, 558496291, 793915653, 371064283, 121507131, 636362529, 451808565, 958066853, 917857359, 941231408, 73930420, 560517322, 549388134, 242196721, 826146804, 594868434, 641762579, 246884442, 629721184, 993370539, 37298935, 713440132, 364526921, 405369256, 853279684, 980857350, 444732569, 847199647, 646416097, 262182494, 850405072, 375830473, 375801357, 19516269, 849173279, 604942155, 581611017, 611277835, 766795375, 542232261, 965135419, 755936453, 365112338, 709286015, 31541771, 140050167, 583844122, 686950180, 558018088, 537932891, 391784405, 946178397, 711647927, 303783712, 904192393, 883597464, 73031737, 858269565, 949689554, 753172809, 286558384, 716472317, 857250539, 610118646, 529052243, 971724148, 686821008, 117350953, 204574936, 255552073, 420405835, 544507676, 582079831, 3434612, 184932051, 483686687, 516366757, 800927022, 968082037, 568157180, 234085412, 233468877, 562636549, 338817096, 62512519, 634099038, 125968689, 865328053, 171805415, 214879095, 9226319, 967119800, 155753314, 627317415, 724184613, 456754141, 383088794, 388048149, 348733286, 72487263, 545653332, 595163686, 238179454, 696852179, 136775774, 543089084, 575336218, 493389321, 57905433, 780393841, 28373297, 875649011, 60597705, 10501533, 769981057, 175473036, 454059480, 214447932, 766981010, 833771553, 699994713, 336114201, 228358652, 167219923, 626507358, 829513101, 545724343, 764125036, 819964160, 811145258, 733546061, 137516951, 836572101, 443913679, 423128644, 477039982, 44086094, 914979747, 425015143, 545945206, 350856623, 422882999, 542728376, 281472705, 146323965, 387539114, 887101322, 203928796, 557015044, 539385958, 160505770, 530050888, 920938189, 290251262, 19526307, 397188919, 333664364, 995279125, 189200254, 403498451, 859591333, 362474496, 994557218, 701788292, 949051372, 547760826, 533028076, 394415801, 719105695, 340535042, 176211141, 992722424, 26045749, 42702260, 736307368, 263277284, 590740589, 827123683, 871983320, 711390299, 818760622, 788269519, 346305754, 66908693, 410365062, 441253237, 406640661, 963914443, 587194277, 768278450, 827750999, 989044531, 59946125, 792592002, 602369575, 410248708, 177749731, 630491484, 661911639, 255971937, 593895713, 738453984, 932290444, 797665165, 921091967, 406733209, 713173564, 651484988, 982401752, 642896846, 712275321, 831209815, 852699150, 472753354, 287344590, 936240944, 831206703, 319293337, 34399520, 359515854, 626594229, 781038498, 465806003, 838190655, 680150058, 705506639, 605270192, 601821583, 438886076, 550841005, 947497369, 597570830, 699474285, 241873586, 701525400, 320134357, 183541137, 370326644, 948967689, 860305139, 407671131, 326040882, 669595634, 592411655, 895709392, 217757214, 555473407, 216641971, 23528645, 714948306, 813649979, 83885115, 274112601, 490636448, 864490134, 127818590, 544376055, 928393661, 771093415, 136568556, 100766791, 420283630, 889095275, 101687816, 834322627, 486530399, 520558689, 845589648, 393921403, 463135491, 856810967, 845238662, 978864674, 964502754, 373317924, 358265835, 636567811, 241636499, 783293004, 60275530, 246390175, 137046182, 394732566, 515710543, 841243459, 946727883, 767690507, 903781621, 547324798, 555499585, 292112372, 764800653, 383971334, 725118709, 758358350, 74343053, 290321764, 709753831, 961727254, 168944974, 164483605, 377520402, 63184171, 139884319, 234827181, 358034748, 712875470, 509365064, 203387578, 952587845, 965701034, 383217975, 445305780, 218396267, 562259632, 824145321, 370470991, 341762551, 710766547, 990520754, 514526360, 434163576, 77872344, 686492264, 21064751, 127405510, 75445008, 380604912, 595265163, 54308005, 895004898, 664540229, 552210857, 773156450, 598763949, 888554498, 223250727, 487776946, 1004849, 774886071, 482601251, 442683578, 688520956, 742214158, 790763854, 920969505, 993129003, 271269749, 637075292, 818445372, 721605926, 905003698, 219244526, 416379451, 916731989, 726588022, 567383859, 620600218, 44375163, 713741125, 233594139, 901958256, 73737415, 914528879, 177557364, 124271772, 201694637, 468664391, 644614497, 939541007, 278275413, 343909517, 586466301, 694693596, 94277030, 709783283, 254974856, 342910617, 629704015, 189273187, 897327588, 607620004, 142939548, 175585887, 652384065, 709864026, 877268801, 797778039, 818198196, 965787908, 324349236, 230071142, 176549925, 142310954, 567371671, 999043630, 425926098, 201620705, 365221887, 901539758, 987192568, 35857210, 636154234, 39524948, 513969655, 760250257, 861149844, 796804091, 100793722, 317526463, 855921597, 829715530, 797308981, 195353875, 814430976, 519201226, 483995969, 335820001, 730403515, 956295411, 271039610, 438852302, 339142415, 3098589, 689362615, 411893289, 327273672, 126646191, 697698265, 65817979, 927387394, 726493719, 271378715, 417906457, 679376495, 303165334, 796289975, 954520765, 498748873, 862324350, 332408280, 860568570, 207316986, 929451339, 230212808, 372598683, 216771952, 200821338, 393613509, 493269646, 636905778, 934124638, 510587586, 220477781, 444587291, 871051525, 395096920, 979256175, 206725288, 770510089, 369085609, 714498509, 2650289, 862009189, 762057157, 757153233, 495104670, 914680447, 487882646, 800309270, 88291968, 35916177, 932844104, 484462763, 358311909, 571260433, 991906925, 970995100, 961948568, 703600202, 765079278, 871048366, 486448876, 218799603, 485594672, 489727328, 990482433, 450153566, 62336841, 548334986, 535390219, 953448374, 880084929, 342380600, 215108339, 922924027, 690432480, 785397233, 58400038, 799799262, 766129224, 411271650, 691985514, 381715138, 421535494, 690656902, 43556730, 72397941, 422101676, 308818772, 593765517, 225437881, 408677824, 634379960, 71267728, 710752715, 679182931, 859542561, 473579746, 122628141, 205257820, 871893168, 341356720, 265659050, 330762252, 135663849, 775303884, 234886289, 934709789, 360323689, 463500635, 911847219, 361601045, 703758281, 790377891, 907188577, 476260980, 662712616, 932983767, 206862301, 581400931, 1530848, 354117037, 142951889, 526760368, 688566135, 402495204, 524756342, 229753913, 20526514, 453345809, 927377229, 748980693, 551710740, 818360440, 123224710, 384209785, 405535651, 293336655, 851339202, 123770648, 176437030, 730557898, 765251582, 852596847, 509487100, 850278726, 561834648, 925358556, 921898392, 149315038, 152388192, 91051579, 200492799, 145051700, 540282940, 178567734, 18660538, 15081249, 264282102, 369480355, 988236843, 841418606, 680196565, 799832616, 716415137, 274774922, 609715968, 760813266, 296717810, 632608492, 748345617, 188215522, 449647077, 290531101, 440034753, 561488800, 765664028, 290706087, 548573700, 889786316, 729277620, 98160245, 662349459, 942761055, 349747141, 169882815, 408654261, 979120637, 629296501, 622388221, 206122533, 253261021, 234351731, 441783122, 300292782, 366568555, 177913477, 886275902, 453991962, 121236578, 918700279, 276782381, 332428745, 628325053, 36312585, 297996158, 658832188, 723564913, 94252361, 332785893, 97541263, 613285026, 459417240, 180312047, 437640160, 422184487, 277447196, 477815263, 677858641, 851621339, 22047706, 277068487, 111859841, 604580126, 199090146, 867183836, 827363000, 84839888, 69898493, 641417979, 74680499, 348566259, 563998473, 409997274, 878459211, 900467847, 745843328, 473458089, 780692735, 102787690, 758196351, 470988426, 609714186, 974450846, 877155461, 536988221, 493069451, 1453580, 725803442, 922316235, 497450853, 138675997, 228190108, 99727895, 540356270, 375125959, 300017294, 976538266, 442929743, 556082892, 253282766, 387931054, 643946660, 415818108, 848412050, 107254365, 567225790, 846774202, 732925650, 300507432, 952371218, 499201049, 94339492, 49848278, 603185444, 313437640, 30559294, 453110321, 742921878, 31489104, 950201985, 137893033, 240451850, 756081087, 384724585, 673202438, 350500625, 304681919, 805937342, 783496485, 132714877, 466293006, 514324490, 144168475, 125290896, 89688038, 230390897, 336705247, 882376959, 587224376, 182704799, 25600937, 411947224, 485103606, 209713885, 632155908, 713547836, 650768792, 768255514, 562032464, 827474202, 98610936, 980224527, 929502240, 735751804, 856184223, 729924400, 462604268, 540151663, 758716552, 30909858, 985367816, 2987637, 395069485, 960287989, 34553694, 207189124, 441352475, 352094595, 968808598, 604341095, 423605230, 416501038, 858724793, 277541499, 813185970, 310349687, 910464479, 756149781, 254759034, 810590379, 949199574, 579423805, 34439604, 158310592, 475594217, 756856051, 27068424, 857286840, 351494439, 837494901, 658123850, 247665784, 74747809, 12120699, 618357918, 120873751, 904081756, 762310140, 460148798, 873761784, 40239606, 915233925, 571568951, 287868859, 649923592, 642239833, 233488362, 987542477, 276798158, 327208642, 256876300, 589241301, 958321030, 422696199, 374530894, 499502144, 782656580, 787340392, 619502197, 547692574, 427486486, 576224208, 429555873, 763934982, 585400520, 678924670, 479413996, 879049613, 454771049, 140790072, 737705552, 584148829, 967177466, 601472796, 558031960, 738168052, 261767222, 179577027, 490535465, 343665522, 66784508, 322863888, 113870301, 261945046, 190332957, 397238167, 852904102, 864710597, 457979672, 246688793, 515286074, 113946652, 464819157, 853989284, 76543177, 854487075, 404117048, 9456958, 97489937, 674065828, 685605622, 863825650, 352193762, 112423389, 736341751, 512750552, 776362773, 226406391, 710452630, 148110918, 334290521, 155556186, 582077371, 797824765, 860144610, 29837664, 402664700, 273036857, 295384986, 869468647, 512169570, 662284334, 348321704, 449654337, 615117886, 204240368, 737639325, 596491747, 1778297, 992742473, 797486845, 812883625, 691275240, 682141035, 632459859, 515103343, 840336448, 388801056, 892168071, 375748831, 832195705, 103613062, 88858393, 178792449, 607131057, 493792001, 566061698, 380511692, 292057129, 740094751, 560042352, 600729404, 107361027, 162039487, 884954959, 937322002, 557776239, 195228465, 499935567, 904078535, 685638759, 451284205, 38748604, 439895534, 507543511, 547482878, 150048083, 466027281, 498317433, 922799669, 245384579, 566291956, 37524328, 394963685, 188508654, 329924214, 783539204, 157453523, 544458923, 789204005, 723898481, 907875341, 343386510, 488856696, 380990891, 40967873, 108288561, 487360658, 487416954, 468762448, 368887450, 662678627, 250780491, 201872907, 786225119, 497709873, 889214914, 26471067, 792380984, 276474160, 215765593, 854211157, 571138447, 948692049, 506930195, 487843274, 170162978, 992498549, 438094991, 774805651, 360452057, 264850711, 858726636, 184755653, 601227390, 316543592, 270517491, 844840088, 644682121, 325920183, 63510358, 40924721, 201362442, 31459972, 666759663, 223210660, 483033461, 261505021, 670416609, 830324356, 69423645, 228346258, 144130957, 200104378, 416255458, 646363604, 748423128, 17669405, 728389107, 849439564, 393658932, 480516522, 377409374, 657639274, 702087086, 963578502, 208999513, 285846993, 499188836, 52387832, 208494369, 297854244, 361550784, 417205855, 298959188, 564889591, 171678957, 110802026, 792798175, 196408775, 182731561, 50118507, 503717502, 409283158, 347159088, 157888270, 982234182, 599070611, 980643417, 621936584, 223208489, 120900403, 565917355, 824907606, 310317795, 129042116, 195587952, 843766468, 756033729, 53502021, 525774634, 308332485, 696973954, 43387247, 743203554, 929938531, 931865379, 894621642, 893770610, 209064646, 146165254, 220620903, 955471756, 525508420, 230197674, 757023859, 140903645, 17960882, 134063743, 527186633, 520177450, 633371752, 394826332, 541179346, 168209535, 835536448, 864549299, 786288235, 404359034, 547750144, 570726841, 561658198, 515267032, 283576921, 672079993, 270310838, 904935060, 174064572, 522453297, 917662814, 695756459, 890068744, 632736145, 28818790, 746411531, 643225342, 19868075, 922393993, 197499284, 907093854, 329021792, 568072148, 432064132, 803855327, 768778359, 744146217, 285337675, 233027064, 235738280, 475069789, 343478427, 974924421, 534925483, 915324187, 404342408, 341314805, 500200359, 664796294, 905539260, 569742784, 650660889, 90036679, 505088271, 767517951, 837870211, 755814771, 691459591, 992893690, 465614303, 584540661, 292306160, 753332558, 758362959, 544812045, 187788867, 129314254, 613506261, 645565046, 748914596, 201265364, 661891426, 713295144, 775925245, 649660227, 270391344, 244390627, 26976186, 439343844, 606581913, 402469269, 194838366, 919249683, 556605026, 275027970, 521387327, 154113796, 7518592, 799154260, 695010464, 833953489, 987125409, 516309641, 77816421, 402969097, 147648365, 564384998, 916198004, 39007486, 381773405, 771344213, 791517741, 48325217, 726881247, 326935544, 87490294, 767356783, 51267217, 888400644, 59440086, 537316087, 992701890, 419747229, 292433093, 785041135, 868286229, 721946957, 665780205, 612395877, 982017549, 533891983, 849314125, 660216005, 205093549, 886638823, 924572913, 460896448, 695965718, 235459061, 328941207, 498658085, 478555930, 987710596, 177888993, 274251616, 759341908, 249071773, 583373250, 232773697, 967908345, 732341387, 497682800, 196756014, 885713951, 990562171, 721624828, 663126666, 122206826, 680872716, 678360006, 656043287, 388658986, 80228346, 802900682, 460344226, 962554285, 251877979, 931072675, 13251703, 229684721, 74512179, 408805872, 846127565, 746019186, 209165243, 196798342, 717835359, 680641736, 325302443, 926427294, 917624519, 240975095, 283842769, 285320633, 923637933, 962848481, 659560206, 274073990, 109517719, 766749744, 159233601, 463262705, 582798612, 332420045, 604803617, 99815403, 309263379, 801913377, 921169745, 507390195, 49351412, 891225042, 186378212, 745450315, 480140981, 604118933, 128803565, 173284915, 623154511, 174667270, 979847380, 360891841, 596192209, 541294967, 984565838, 243153998, 167359901, 472940817, 380902959, 115184265, 7496250, 251733383, 475422600, 493781920, 677275565, 775165701, 429018484, 706707561, 19671681, 24290291, 154894358, 393574615, 862311012, 258913498, 213097972, 412383745, 109564119, 791048503, 967319935, 472246493, 92591341, 498032641, 291626644, 369703820, 23191010, 427282293, 878901713, 188197462, 534720785, 775084629, 408808555, 585389623, 424058376, 729256668, 939747888, 261893656, 166175916, 336340250, 33677084, 882089024, 916749486, 620274169, 571025477, 760787486, 134463346, 260256750, 83835954, 353865745, 17637081, 150483063, 788400380, 288719002, 642624149, 243211747, 438484909, 911248810, 839159093, 387978842, 468363311, 798904821, 331356215, 408720815, 279641762, 396443139, 857431043, 524394243, 728180439, 695092217, 6728802, 729487612, 426166941, 818825619, 412888165, 205173498, 585898257, 158019819, 360563875, 401948224, 397710340, 100424040, 372567835, 337850659, 873232988, 211659814, 492305617, 527630034, 965808631, 336755757, 347408089, 170894892, 852799138, 475314713, 981967321, 848441035, 285282213, 898104402, 372843879, 866080483, 457590082, 722541367, 758059609, 663955067, 913945600, 751915428, 611167691, 117334755, 572447225, 933799485, 354615711, 182142631, 787008926, 142999279, 146579397, 614888274, 609204299, 322921411, 967063211, 534347223, 735928840, 854807349, 860154263, 593424647, 683695312, 305100128, 118864210, 339919170, 225250473, 520580709, 264673700, 402524164, 495370576, 119625939, 202485996, 280585741, 503762094, 875142290, 527859735, 311624963, 105696547, 747399731, 408280049, 431730291, 721763019, 171228557, 842902514, 642404769, 776160920, 893777101, 156627530, 243291, 349373974, 765087966, 774094700, 84837670, 726730378, 355829599, 169415420, 374154930, 805871024, 117318386, 465491036, 893448035, 342798795, 414142348, 252316068, 807265194, 815746496, 559406342, 478331686, 355944935, 166109699, 94744777, 903169835, 309464204, 367036110, 297449012, 113693814, 356161515, 150977603, 919299167, 139731632, 877255824, 497394566, 894601891, 180987131, 981886527, 605378692, 726995629, 737452495, 741994473, 219093102, 937316920, 616216209, 637575205, 222375085, 71921485, 802821842, 6935555, 621553245, 723256757, 191100975, 69800952, 31074772, 599198173, 141417353, 659474974, 263631939, 95607180, 10142881, 262761912, 765704743, 654631066, 122104034, 19724920, 437243160, 969207631, 7146199, 792984391, 37047653, 976980701, 550668751, 720156838, 745601903, 696348992, 313593250, 620244008, 320677745, 231391621, 590232360, 242874008, 678391481, 984601259, 361273373, 896060180, 946110504, 933750206, 908039357, 85014791, 241404147, 300985406, 158562082, 750397585, 195300358, 786077332, 368575103, 235079973, 643280990, 874330097, 838104001, 254104695, 472813792, 442046958, 901817507, 99987886, 691661010, 34846040, 634192313, 633256910, 341435033, 958121013, 808232179, 193807605, 702974730, 276330736, 496523737, 584451646, 361652597, 619197334, 167768962, 927063635, 784901840, 769906717, 363793795, 106302296, 276573604, 566494384, 134990942, 66753992, 41954520, 111369038, 997305486, 27448214, 254759449, 563931816, 575471912, 554623427, 753459153, 887582767, 719438466, 440940345, 186941394, 773592840, 905741581, 631594963, 664173991, 270503686, 340091128, 406701708, 564604679, 450490144, 114379061, 692289455, 520417602, 764783344, 655864683, 458747326, 991475650, 81985194, 964947830, 79535981, 52222489, 431547248, 575108764, 494455715, 580839031, 836846223, 247111433, 839639098, 155280010, 987577551, 357763881, 803316135, 677175043, 534061741, 110555568, 402225595, 101245545, 584903374, 359481630, 436801208, 841677764, 774625396, 353949202, 622432092, 862244028, 516533709, 956641035, 262156521, 993641842, 894887591, 494988406, 435308180, 502212487, 126184386, 680207901, 950664804, 365343632, 179217307, 120170478, 468602970, 119806436, 893119739, 937981712, 410669539, 503890205, 556513152, 772495378, 861904860, 312039747, 147818511, 348518600, 350928667, 821803495, 331540952, 322036758, 921683957, 252572236, 928944123, 842500201, 390453284, 793668457, 500184602, 9159102, 753614702, 155303542, 397739146, 663061359, 630250507, 154844524, 665978369, 415364063, 361103696, 686308792, 992169347, 641021828, 200573798, 128881871, 904151778, 110308868, 365017733, 507713337, 204336521, 288721272, 228366890, 485287135, 573434176, 633447792, 396553272, 366954688, 869603753, 569891912, 891119050, 356937369, 582049329, 955289468, 350500745, 963548576, 408978740, 147135909, 185386174, 567433724, 47076786, 285927185, 335279470, 637760856, 49152532, 145826676, 376582132, 21623559, 689378117, 476563805, 892123458, 996305259, 330418329, 11110467, 568605523, 979703399, 352663274, 911370165, 250801747, 637964410, 117867343, 673985295, 929958206, 376792683, 878192255, 928022992, 850372418, 526394119, 197011774, 786804199, 963649209, 261397347, 482492826, 752331645, 220340807, 165346486, 337104740, 919836091, 957840940, 321730959, 427914886, 933788775, 568069431, 716498802, 247213543, 640914069, 938107795, 305818259, 42659700, 46834563, 103810680, 238358164, 151068718, 486963496, 76651562, 771294677, 312071605, 562221750, 227882320, 796145732, 323786331, 263145416, 506017227, 962610919, 601824209, 323570436, 822643480, 931127127, 211184262, 420117361, 954449931, 619369427, 624727355, 790801172, 125399136, 479488557, 695648444, 206954400, 120238918, 186105244, 674965280, 598226841, 62839372, 366321901, 809403099, 151788028, 29828382, 824258489, 523918561, 565076286, 830930592, 233248570, 565495665, 306171271, 996475249, 256039483, 70600319, 420934999, 981670081, 8561225, 940251235, 204130644, 712809900, 888411709, 904047918, 183383453, 713465431, 133428936, 576879755, 562042927, 356821453, 22903182, 656948581, 45649600, 450958842, 913354713, 737623591, 456356020, 245530062, 29704831, 143505532, 998807255, 408151007, 669389686, 804285410, 415832335, 623157164, 880688919, 776754266, 521076192, 188776510, 611939070, 959487935, 608760182, 712441131, 560490454, 915766307, 830377031, 296963387, 2036989, 661213946, 339983886, 52400994, 74768106, 413028868, 271803580, 828320361, 757694521, 708182170, 158705170, 881909040, 427996893, 195763849, 179602305, 573240358, 349230970, 903789826, 588479259, 933799892, 484457149, 526356564, 897505385, 896568592, 829017898, 986228821, 994145242, 729753512, 207567606, 795150900, 697401979, 310205794, 518157387, 716640940, 702054192, 671516236, 835593866, 132381371, 922394143, 854321138, 26641278, 288345548, 569562661, 893374739, 922607743, 560760422, 68922219, 593491543, 154656349, 107813530, 523257106, 489856049, 171030973, 502054854, 306364414, 990117867, 756757248, 530862397, 686477562, 124588275, 471703247, 901747005, 59761733, 529362380, 587252688, 433785550, 739420563, 980421667, 317777187, 188995250, 296011612, 48010352, 794090563, 148248120, 850233010, 411810006, 463622610, 872368977, 403167054, 897446352, 167143701, 56116635, 894842726, 178700708, 789743111, 740621723, 31207345, 771566845, 159251234, 496034505, 831346329, 413623623, 114963052, 465233827, 148321755, 889416968, 358079469, 351954485, 827373390, 780336948, 552298162, 655108231, 974548979, 945778847, 563473607, 700847989, 507783183, 96528717, 535239795, 284031564, 702200285, 528635268, 59587954, 414261700, 881936920, 500511905, 125619221, 14452663, 122964142, 114968247, 270172815, 310370963, 229891866, 262071725, 637728823, 467250928, 382605208, 737557033, 684354820, 792326008, 654361563, 111090385, 439900336, 136006355, 800655151, 588884485, 243071811, 615019534, 208566806, 248717088, 118429648, 930859354, 321678701, 760322841, 907060451, 967500506, 319624540, 363529680, 91235816, 970634202, 430960463, 609416487, 643871339, 318696298, 888867896, 867763669, 148144905, 470112059, 712856948, 201064634, 438946802, 103123157, 469150263, 906209462, 946344563, 535191639, 443106913, 56152086, 346903884, 644151673, 875445357, 661009490, 989092979, 619169424, 949334297, 810873048, 170858833, 59653529, 359650450, 640326280, 428946327, 770837982, 634442379, 293655548, 551950508, 551648803, 834062451, 151173558, 333200299, 348647914, 984703426, 333596333, 858211804, 561851164, 806237886, 167165427, 837403292, 749805515, 628572576, 494655843, 366959825, 839488381, 840260167, 494138259, 297808612, 893194248, 124286964, 363891002, 809064066, 517963391, 885664494, 59160324, 754118117, 416839325, 195756071, 821439470, 548554567, 939357145, 552504900, 82440261, 258395798, 935624023, 71190970, 280790479, 555978146, 470172162, 34520064, 204587056, 778064587, 952790414, 561047196, 630210732, 619668130, 125507602, 80397813, 395822791, 383864227, 23378705, 51794298, 67750768, 850126393, 201855331, 697559359, 172025993, 905580798, 473186795, 183465560, 505883149, 684169657, 118418271, 230156695, 894857395, 163837297, 531074578, 559061344, 304165242, 490747400, 66485587, 596752912, 133742425, 965548111, 578236796, 903165249, 752435594, 130083264, 499875124, 123909349, 344388744, 599605843, 696168228, 614382534, 901908089, 633817464, 211154931, 147000631, 553776424, 324790148, 279178657, 839830495, 879237830, 304257069, 186748741, 210730427, 190599768, 748808881, 871865927, 717969038, 535978059, 358949544, 960218507, 855646915, 491743483, 487507393, 652488398, 832856949, 313311144, 587496292, 446265885, 688011135, 397385061, 106292696, 257239453, 579551372, 192128097, 220333209, 551825050, 130065547, 910741650, 129708968, 930890062, 757505171, 570922336, 172646426, 90858516, 990871622, 896098402, 805956707, 561337442, 339258466, 296588263, 682806413, 92324789, 774074227, 771763939, 625686167, 71789638, 798437213, 661455702, 603251630, 396815831, 452001521, 238577919, 453985900, 796153636, 906783031, 416360878, 942672055, 560502, 542954707, 482438181, 773470733, 741300610, 111450385, 812338903, 5487072, 779763712, 521666564, 12280389, 346882826, 703890662, 892551954, 485841806, 276850210, 338192111, 488328367, 168421843, 822948536, 729613428, 829563924, 459246234, 852975497, 566627607, 683708010, 181914040, 648963640, 373569200, 907619696, 959603391, 419968966, 532729869, 160865597, 498869816, 782302473, 587594814, 621310086, 297648197, 754826319, 345640377, 310014593, 627062299, 392186480, 943095832, 730178786, 895061623, 176584029, 325739235, 961636966, 987156653, 627432169, 106241720, 824381779, 322826000, 663212520, 191382508, 143179546, 354511491, 369913190, 498519639, 30149272, 65581840, 106236163, 546362796, 603742125, 202643957, 619040047, 771967871, 586954909, 947750245, 496980132, 447018734, 888802386, 177719059, 131630658, 339479359, 683315818, 593020947, 941283312, 194650087, 450157803, 154708017, 906223515, 633820410, 192202036, 158587839, 154610461, 726123810, 996168889, 483547130, 816615442, 355898710, 739000257, 393403002, 846198142, 654849791, 569102334, 937744526, 134765335, 18424328, 304817560, 251288947, 782041247, 429850178, 167653120, 373258807, 394422831, 736336049, 152983309, 571350204, 657407158, 992098086, 12961438, 908351643, 585811993, 679309305, 97255213, 204583774, 745869995, 506245299, 836960154, 555487591, 525265569, 486488756, 874064076, 460638694, 921352767, 806276623, 542884078, 189257429, 435177937, 225378817, 159190793, 539668114, 350660349, 48184874, 520591561, 613816561, 212351651, 509826047, 39636903, 884562169, 928474127, 441262243, 120548227, 862948313, 65028574, 169000667, 908836391, 507003960, 471285150, 143645322, 609493250, 135653081, 428437601, 684333942, 665367285, 921383746, 590323843, 776251016, 785630492, 815870714, 11467123, 352592544, 312263732, 285234175, 343326782, 348324488, 513995807, 508040357, 777113542, 951091777, 517402870, 637644471, 944922382, 413779289, 247968200, 458193942, 760291416, 354911155, 19070025, 245822249, 513088595, 649922224, 878634675, 209305763, 966250415, 840414919, 707248297, 399076743, 564099686, 854333093, 919756608, 634353213, 824078852, 849535750, 401876186, 673102838, 816261620, 959518090, 432870981, 455332540, 184490139, 629449375, 852594520, 316752706, 738688699, 553092442, 349366188, 631637879, 94590781, 830208458, 558025688, 455505955, 528470567, 430963901, 229802822, 244182196, 439885777, 737779146, 671349703, 107983419, 652183127, 737391546, 416694914, 46428632, 744839277, 788310232, 595752023, 158233343, 108187196, 552511378, 186119698, 659260408, 501758311, 499199030, 393224126, 670518502, 397048807, 234387995, 398680132, 611846997, 78383793, 659182628, 21093709, 300367961, 722045384, 791814408, 488517144, 890917224, 68187061, 438907607, 89337043, 352103997, 549214371, 884269453, 901155286, 927539970, 690032329, 253374797, 832515741, 515976604, 163779925, 201216582, 389580342, 541121509, 410349594, 531048127, 334350789, 720258708, 792356343, 739896567, 618357999, 352294268, 503518160, 821392572, 287431166, 639545430, 823168314, 307026971, 966037919, 985764237, 663108584, 553757560, 4341109, 654407770, 954935272, 779844989, 415830439, 768315642, 897167108, 643785475, 701552621, 452427360, 136436555, 673997088, 5673621, 507147925, 887886829, 263805579, 908867825, 117907310, 912217052, 153272806, 533464688, 418640017, 47692837, 673952602, 828197198, 512166334, 917227558, 438662946, 922889933, 630006721, 351249583, 25620101, 530276902, 917186543, 315126802, 126514347, 113814093, 953302838, 702023834, 276009714, 999850003, 84936663, 980757889, 118496758, 96832531, 35006274, 98031213, 645877692, 274448458, 249276093, 901360431, 999811172, 416265247, 324407250, 642950723, 779514959, 109209382, 956064847, 890077781, 835471026, 552521145, 608006448, 708261921, 620556702, 799844316, 358486079, 156421274, 30417672, 607035688, 265397862, 102458493, 269667822, 557036394, 541557777, 244576739, 475796991, 569363308, 889695654, 867259509, 84250926, 93710115, 869415849, 894241356, 655955794, 472635026, 997531599, 122565270, 18211049, 520911932, 905844007, 751629009, 940338956, 394678858, 191786217, 891650592, 561719551, 246766857, 400880546, 19054753, 657343654, 223812333, 5327902, 980713553, 780899248, 416005863, 767432963, 195441645, 156857569, 110345834, 254638977, 299710109, 718578167, 462314951, 90950307, 705040222, 718547439, 675497988, 793203853, 58165013, 135082490, 860633973, 675021861, 740961612, 244504750, 692729671, 468810569, 10109869, 842043443, 208593884, 545852697, 989034248, 315788225, 773137277, 214306982, 43924390, 270620929, 676584667, 886907645, 753864983, 522166492, 506755685, 784738470, 741146812, 509200737, 328194388, 88330115, 292803896, 794412343, 422253090, 497676400, 609502806, 506957503, 307162290, 338393498, 238955057, 464897857, 9694983, 965916061, 196739682, 89313150, 3004774, 239826176, 737832581, 467400795, 899358846, 175774063, 357574465, 308026850, 735716002, 903304201, 756325246, 712610092, 753421336, 572457816, 407334489, 513276442, 591742398, 65595398, 775233155, 277614544, 915039191, 423511113, 332840832, 246296063, 447620496, 94940561, 995227741, 496127760, 436546702, 261708418, 796785121, 776619704, 385831504, 237024445, 379006253, 615113148, 928527371, 137709036, 507646028, 866111104, 809146548, 287901617, 215293975, 778568726, 509014195, 670853524, 112504188, 408585370, 671621569, 333434837, 477713799, 454529581, 5370662, 116442963, 721220380, 591491209, 924975630, 133659786, 510852096, 166115606, 648294180, 554479298, 466658177, 769317744, 641486082, 135091669, 496606687, 253936845, 209103798, 368281422, 299719982, 492184935, 694811018, 765015080, 971255649, 166119812, 466964229, 961273385, 20871786, 411511297, 552979442, 142939488, 905178983, 848617703, 452660138, 431610392, 877581622, 400937345, 239131087, 761645203, 206895154, 567547753, 967073586, 388435628, 354141383, 216956207, 762850121, 986681408, 230323688, 796452571, 634270763, 688156504, 96756363, 729054437, 190678546, 632022567, 105108485, 473617091, 68715423, 991648071, 631205371, 737509449, 641874860, 568267702, 916151757, 578700538, 848478409, 38787185, 724873244, 511872723, 863872680, 945395930, 83787482, 526760120, 247728070, 632193527, 822121371, 375492926, 940763459, 306466361, 768653638, 422711968, 45470795, 578942469, 354096470, 258505563, 27777715, 197001921, 533814782, 398435349, 183938499, 879391393, 940201110, 557143784, 883292710, 973351512, 985184330, 975263815, 166613410, 801898611, 301157163, 646554907, 820764831, 268915697, 204757494, 999404135, 38573352, 376841334, 634703713, 407423456, 450646831, 315309115, 802168357, 155103734, 280227435, 916413715, 308180292, 54497083, 550978914, 940932120, 579322972, 412803393, 774269326, 618765908, 185336042, 595824003, 52256028, 61811449, 488024852, 460020474, 159743991, 319988881, 191001741, 124442620, 180311571, 341723764, 342368399, 84083583, 960114977, 483375440, 528859630, 713035442, 247954439, 889409403, 798369251, 874593304, 969607915, 873620638, 435904635, 96887427, 307035768, 876756406, 264823780, 820821967, 316659616, 268152011, 264436824, 828499712, 689920431, 648245366, 432276367, 384883299, 95891726, 123185057, 134964946, 479664032, 837568046, 156487816, 140505009, 489429671, 358604094, 322048270, 633341553, 890748396, 490526790, 207662437, 542484635, 236881541, 791098454, 440470978, 809597047, 119227929, 438040740, 918264969, 478505930, 153444458, 846128046, 570264549, 12757834, 93213380, 239466018, 901428185, 478247049, 767773274, 779997665, 663161874, 771471076, 131889902, 224700295, 69119347, 778928446, 290242546, 220900143, 482641315, 392016875, 763616911, 307446367, 445792133, 513363104, 617136989, 317775920, 94108073, 459462138, 424824665, 671587024, 885870674, 5592035, 73326943, 477918191, 376921053, 825545330, 938804136, 169523479, 729047496, 401138333, 653464787, 613254213, 171141043, 119499439, 763029052, 128953891, 378321681, 353089455, 926769273, 892390362, 384029967, 588075542, 291319894, 450482607, 507045341, 416652315, 14235798, 927248119, 964387930, 341778092, 4904033, 477206654, 109448714, 835864949, 666848687, 396743099, 701337638, 686843627, 584688755, 349479095, 714769792, 177900476, 485779600, 631953196, 171923259, 958361803, 512631027, 150462729, 892102100, 28933801, 863566214, 951235275, 965690567, 895773752, 783028928, 340202823, 913990755, 409521785, 172941467, 385400663, 110651598, 280524662, 122608601, 786544557, 962861710, 28718474, 671267307, 582408860, 777627451, 815655, 410762244, 936167693, 21293175, 57274010, 824173919, 764743855, 107178466, 876948704, 700565135, 781505695, 160910171, 630174148, 947622828, 507614358, 705702577, 127249627, 166417060, 608983170, 338602556, 315245071, 539682467, 59545020, 423306346, 970391448, 188865159, 850461178, 497493975, 713392801, 455568205, 442393343, 964623111, 420466744, 270684487, 229662437, 627542146, 449569012, 700616169, 784079762, 784476723, 549122327, 875263267, 632893451, 717304143, 823918420, 897147431, 869837697, 598343087, 719174759, 261978601, 586407675, 687071631, 409504491, 440626393, 168886132, 698812644, 887132519, 635195208, 634119601, 835153244, 652729070, 593048275, 436878393, 889655075, 833193455, 634255664, 983289239, 556158646, 653060944, 511327498, 198467895, 791712181, 662274973, 160275673, 784671161, 145517634, 857802443, 532841373, 695973673, 860631939, 320610875, 913535410, 594354554, 453333644, 745933056, 940736039, 109686413, 678024881, 889495964, 366855229, 705219429, 595221998, 641103846, 223543494, 526865776, 533506606, 454031750, 54499518, 677290520, 824430367, 221693726, 465248439, 172739941, 469658795, 68130181, 313005342, 442091731, 359210851, 299621555, 356307830, 22295235, 666305576, 622266923, 344337827, 165658509, 652037495, 501550314, 934592887, 798490895, 872132761, 747609964, 238639496, 840817221, 783231998, 877167674, 544220997, 243625454, 729401512, 478359033, 756615423, 391641029, 856482511, 227861057, 748565064, 852915328, 506612224, 834752900, 763838429, 338202842, 814912124, 591892372, 128661681, 934094994, 756575064, 453721288, 88422906, 635602321, 338334357, 239223545, 337092972, 476671606, 341428223, 137413326, 139131672, 892905220, 629364019, 849091202, 236790266, 329505574, 444460767, 20568624, 882248642, 2571008, 508417123, 531777958, 98515365, 899558091, 366851045, 375500438, 823336369, 185072236, 716367241, 879425602, 843030322, 829922287, 570456585, 549910778, 936616715, 339764094, 802778611, 479994705, 258167503, 211609914, 354193638, 361373432, 208127450, 669147958, 826210833, 705612307, 736094989, 832675084, 251454220, 141879804, 317138609, 107638312, 478012147, 272168494, 767578279, 221529469, 781754373, 105813015, 130798478, 410968860, 80185502, 625617539, 601848511, 355838495, 832857246, 911703546, 133411427, 469568635, 560925770, 900330414, 351548369, 3521477, 566349368, 648214794, 105609513, 138052287, 527544571, 458921545, 899347973, 669011974, 213036557, 337997768, 651554644, 582237327, 369908357, 288392361, 931443119, 395666848, 634908216, 297400652, 53749325, 985362747, 849770548, 943471335, 577124761, 741133499, 411393452, 439144223, 411107905, 675931188, 319514963, 979596665, 133022527, 828349289, 730068827, 440525399, 199516636, 286611426, 95976589, 571025998, 756915492, 197932383, 875148110, 222987792, 831159435, 348355885, 460891660, 206218143, 402871479, 83813266, 752561462, 709600121, 591353859, 935833269, 571499364, 344470817, 161531517, 157660765, 574147021, 722194645, 474544377, 586479999, 436254832, 963581782, 83386059, 364675001, 924879790, 892140219, 734061755, 63714833, 640144659, 561489995, 538224973, 98611417, 980310766, 83939986, 600038470, 637359607, 847434528, 797840770, 435045202, 352724430, 461737152, 225529477, 658663412, 525174222, 232830628, 239013097, 389208690, 862778801, 699304414, 974103199, 850857442, 102390193, 350817921, 19769815, 831552803, 300288574, 173333411, 329164610, 900841820, 799731376, 72906687, 281409880, 210822534, 773384747, 568208095, 98368083, 311027377, 772054171, 111607737, 998775245, 877965950, 290733275, 232324037, 511912666, 251004446, 944057988, 451918023, 823202324, 299577984, 614092414, 260429315, 182788002, 504076169, 487777101, 139161669, 28978957, 275264637, 225898355, 872101988, 716323700, 373421581, 253965309, 492186536, 266040325, 520337995, 770388705, 568140945, 647065312, 476512940, 700480455, 801498179, 802126142, 373571515, 309139971, 202957657, 793611974, 668845100, 524851603, 525580314, 795396431, 331495802, 947593319, 278941415, 46460631, 399495589, 869969661, 663459661, 660089309, 220427491, 76170475, 710923557, 883978192, 39378973, 791513838, 501692383, 665566328, 314670657, 873162949, 787055985, 989856616, 461642927, 756218097, 673134320, 550646990, 167978831, 50225130, 297968503, 261024236, 901966420, 735535302, 480005979, 454662903, 12284259, 332989719, 416696146, 515271406, 563878313, 632374245, 161487509, 839853148, 463756670, 640148867, 966165957, 983734178, 110418001, 929665664, 979457566, 756656205, 890679259, 166761221, 284327074, 548143379, 376951296, 423301823, 377083143, 394729917, 800172293, 150773581, 682562039, 426895370, 112219566, 762148519, 373765500, 620985558, 932118422, 803436498, 668130678, 532541389, 212465492, 435215084, 158206717, 41537335, 503965950, 458891305, 469296292, 991983343, 495971328, 233501683, 350615076, 505237700, 324847168, 326165811, 366364368, 240129627, 432376761, 388043699, 152534796, 643603723, 350136296, 967140723, 841749929, 768184502, 616739699, 570309872, 644191368, 404157378, 659097853, 776551810, 761009548, 881778884, 182658010, 699473127, 287736986, 529659709, 150145514, 987664547, 574303751, 742069178, 374237709, 500672267, 124880668, 3895767, 906774767, 866389653, 138466184, 205044671, 405986188, 381495968, 839167681, 79512218, 774735974, 852403513, 288563692, 132985625, 610694726, 142589782, 719163698, 647984266, 245202702, 394953902, 685589902, 370855310, 868642456, 365302141, 763344079, 995595732, 427368759, 55261273, 107112901, 288958615, 793074691, 324769595, 605602454, 518650577, 283481077, 425786462, 163353996, 889668473, 680023596, 820601010, 902353307, 234537997, 527015514, 374605913, 909696535, 784238847, 731923122, 248043141, 677813857, 535241674, 89867068, 470820513, 660983971, 402715209, 29077263, 507950105, 726730471, 214534764, 319835341, 477215941, 141035693, 271594671, 914200369, 48468211, 906995098, 801984257, 213884299, 976741911, 46407092, 644929628, 549347332, 410239912, 257511055, 417214772, 276780936, 567133738, 528754063, 834563967, 782074958, 910072082, 990358342, 830481457, 179270087, 359905609, 367251770, 56166012, 606347880, 559912710, 813222551, 44867473, 501168792, 766627230, 831638985, 166917183, 422896387, 235070050, 896975975, 869158698, 815216959, 438560061, 130190749, 215614604, 4124245, 210343113, 366385810, 500362783, 546193836, 43215051, 354975937, 726436418, 464437300, 659492013, 629558502, 173981846, 293171207, 638219006, 758724823, 23707600, 92011142, 542868481, 785832991, 45514816, 993115166, 284210122, 749322879, 386815938, 173410293, 264051670, 613763945, 696895445, 15086443, 64848866, 379968600, 197006680, 575664811, 328013895, 629264989, 538227647, 335517499, 361906969, 39427217, 283825337, 280275181, 952971143, 933337508, 706756096, 324166706, 271803859, 12504750, 19974332, 515570230, 250913556, 815366834, 901619452, 733106703, 568882338, 899483463, 390877069, 459953931, 85464906, 40505771, 624637120, 600674771, 626360229, 703887121, 419568224, 887163591, 601770453, 362619547, 826548447, 902137712, 132411985, 392301499, 22693515, 900769122, 904717469, 258760463, 693419132, 813690628, 393283760, 980872786, 769697529, 7937261, 343331663, 922598235, 959059855, 1919403, 905020291, 19537029, 447824694, 83576387, 210872580, 663973659, 97492767, 725318255, 761211030, 633397170, 673517225, 722515686, 396391501, 884040212, 483029354, 698317665, 681204005, 595415319, 698137425, 177041382, 385436595, 280657591, 786395036, 2316314, 555354425, 792487712, 522138828, 916373268, 978168103, 387366474, 606067889, 346962517, 288455207, 434297148, 186368362, 197930681, 978842432, 667898252, 425053863, 998275141, 935434408, 679017407, 526532744, 730682128, 588310224, 943028887, 726943702, 252340066, 950311849, 278960048, 182604689, 294114584, 149733440, 817520121, 646833490, 892135119, 69643032, 56898201, 40576712, 669412734, 397277190, 369002984, 250542402, 790687183, 264087273, 763015285, 619169001, 102928930, 996378917, 597315401, 775457810, 754194205, 692156911, 47229571, 584486795, 773461985, 473015636, 936723381, 770321978, 540594278, 855737579, 273731821, 19532456, 892209266, 930374199, 909484189, 226589693, 383606382, 437484438, 843353235, 180493494, 31074068, 987150103, 109152981, 239057981, 598176220, 578931775, 234123307, 694403138, 306927010, 86457531, 378027192, 678583736, 5740535, 462964852, 348471064, 863947755, 848364515, 781597259, 831935021, 970199383, 635344115, 407028321, 353130830, 90394691, 396530676, 816815406, 225421591, 495857643, 425141262, 844777245, 883132238, 165644105, 721002174, 523519010, 613006877, 791405040, 435038744, 430961716, 122223148, 773057392, 256979920, 562282275, 584839368, 222147190, 462961335, 445282659, 889525558, 708163082, 469537945, 891079184, 676983051, 256831379, 789475076, 152130578, 390325827, 798509711, 913740661, 811225104, 796351248, 477115385, 492105962, 684710404, 863057899, 489858720, 261062014, 16651325, 650920130, 394698582, 583075511, 131654334, 258869183, 465821411, 23269182, 763520875, 609521671, 939510917, 289960770, 45407208, 404623837, 971876729, 462397213, 619086302, 137987189, 902988465, 525576516, 170111880, 341656179, 905167467, 296019775, 430806458, 124363613, 978768218, 296389170, 627958005, 655964770, 625535984, 57425965, 93792867, 338947882, 114878362, 5171519, 242232656, 961163740, 260187243, 719149499, 221099926, 18403705, 269041831, 656151748, 229891540, 732777824, 964511683, 637028398, 878686546, 944145878, 402865511, 228019652, 169845547, 902352984, 958848549, 136748122, 959990382, 858140713, 294707128, 808418969, 334308342, 619928447, 328306850, 206451800, 435844773, 199025214, 541064359, 608019246, 925333268, 935604288, 500138604, 178924976, 368030885, 10904453, 367798779, 833833859, 372789296, 578207504, 112243667, 957684036, 513861505, 490140794, 762123701, 580727665, 983475088, 203846221, 226295203, 857727811, 820680867, 937536681, 433470260, 133424480, 563296038, 883486664, 431336871, 698542386, 685988732, 315469180, 957608564, 785674739, 445441879, 493439907, 635363348, 185686736, 720903134, 858079057, 96434374, 152021295, 126247417, 32651113, 93927807, 628227467, 175462847, 243278476, 387388337, 648499160, 141984621, 111421223, 588802843, 390372525, 871820060, 346368767, 318827524, 655329735, 2195018, 587284148, 846630632, 153270631, 588787264, 985076680, 795219954, 142664243, 414751783, 248276241, 756905909, 928698281, 72399084, 194373370, 264953813, 416751469, 61085048, 890921461, 57132686, 711153362, 796513629, 677622795, 883069101, 672622034, 954107116, 99760828, 300793912, 289468788, 552532652, 562657521, 974619910, 774845487, 157253812, 647097364, 969379611, 311838174, 313707515, 120493140, 78926016, 635465380, 696466420, 90732205, 8698593, 630052446, 298132652, 866913630, 366665770, 253077527, 594963777, 33381794, 635610504, 912902194, 187790098, 13181142, 541206956, 271446571, 255186211, 377768255, 167632508, 960823115, 566820915, 947274340, 533524180, 400013185, 828498796, 844880261, 503856382, 811938466, 40471060, 441452474, 280082831, 289343636, 400023726, 347292226, 500152893, 72150792, 615694946, 942066479, 211687170, 377510665, 289756261, 767304154, 553143144, 100544804, 908776349, 470657665, 127555862, 969747043, 10811584, 558683526, 391023227, 475245702, 334884370, 325001973, 577926949, 140909008, 827958606, 380865224, 517730849, 709616434, 177758485, 503019056, 124227149, 478856898, 227518239, 705353873, 525439791, 411567454, 151569478, 795451578, 519095346, 904421715, 953643655, 308959187, 965124903, 688599845, 731157625, 464700355, 932882395, 51431780, 67243725, 976739293, 552289707, 483784608, 423638223, 997563486, 696477750, 286648187, 854978098, 426837814, 827615551, 765239623, 842543176, 796591735, 838475420, 663292186, 610359737, 92664276, 31702427, 805248607, 155698316, 510229788, 549029033, 331713383, 306752838, 383545415, 302191626, 657284313, 280973126, 798862721, 308014264, 546031856, 517670544, 835865675, 701829425, 322029157, 81065154, 316495571, 54696325, 571191728, 5335867, 774691108, 40169435, 422519406, 60176515, 137394853, 789526718, 178305649, 56978192, 276222714, 427710483, 785407383, 418437007, 349364699, 835961586, 758701695, 771421772, 171920640, 399299845, 732219075, 42585112, 533779177, 783914356, 683015857, 316681019, 586329111, 715464328, 427082179, 11190868, 95455382, 612905135, 874129629, 526335048, 320810998, 351780057, 635206482, 146182981, 429273595, 895552847, 945921268, 677471298, 850503457, 88447012, 929712058, 302782058, 123955111, 732722521, 544950426, 226810990, 580817476, 684829679, 749592241, 542967851, 276411972, 898650506, 793161611, 807966269, 768820571, 284075625, 695522401, 956821185, 800125006, 75055031, 962932811, 26257358, 80251680, 769088021, 382052572, 678934760, 67420375, 874657805, 624688366, 605732326, 262265134, 925645698, 236270829, 110507421, 157839926, 59592681, 155890635, 188670235, 905843758, 754823048, 495026555, 176336234, 406142975, 645092306, 508933605, 242592364, 461092820, 825810846, 303658056, 960080476, 617869252, 482335596, 773025193, 466273659, 320307531, 95279953, 189056370, 501860144, 342617327, 306819175, 910836658, 169119665, 89516117, 895225223, 12007320, 358430892, 586190485, 34417219, 638866076, 591577651, 689244006, 26783403, 289046137, 825841765, 629605311, 887561206, 801058514, 764608296, 29599168, 22793186, 76735196, 79630950, 916635170, 263769362, 414568114, 464321917, 555397290, 820506634, 599208628, 96125595, 837792557, 707460949, 145540672, 352971819, 301603880, 522763502, 630935117, 927920989, 358939256, 464416006, 12854451, 838932152, 508239258, 148550208, 787821103, 493639467, 637763841, 398216541, 38732460, 494347236, 693723097, 77670697, 829696252, 226394751, 398827822, 620096317, 702277404, 377061960, 998901179, 311781290, 926688238, 761938581, 168791757, 766104021, 853691588, 773220657, 80636913, 997136156, 131316170, 837945065, 777454145, 955250471, 206075619, 979603247, 602643111, 500562628, 8136657, 362669890, 221957051, 492119150, 306144364, 30209899, 372451582, 856509579, 981398285, 11873727, 129049984, 974545956, 767929296, 475089603, 971886003, 511926360, 666866138, 855353642, 329926176, 219767328, 828070180, 422730265, 538056525, 711541834, 755512747, 979061006, 181046924, 322900187, 631351012, 600859123, 922706132, 798202824, 995404606, 310006911, 113307031, 974826372, 399919881, 20313367, 33632615, 741326540, 59387850, 432455066, 288671896, 97294062, 952708180, 206269297, 154657796, 231798498, 983950362, 416289491, 902831039, 615891540, 736329339, 276311493, 582300027, 724483915, 481157662, 158852983, 865733829, 28735187, 401607252, 940300393, 787883183, 835677038, 228773236, 634745171, 269668947, 780369317, 870560943, 419074246, 71220731, 768525566, 891335333, 214352838, 276461321, 691279459, 616134541, 504765210, 465319606, 381452371, 820450842, 643125613, 440816707, 373300518, 564389399, 218661447, 837758997, 222185815, 148685957, 335676136, 418487888, 709396918, 673791031, 469040997, 393649286, 832903243, 258130257, 973015684, 13234322, 811236120, 938049459, 945373125, 979729847, 762266503, 996917742, 964824262, 903329751, 529617363, 747599218, 990823627, 798390823, 353805927, 606445627, 584897498, 387001101, 902911576, 851679362, 948614433, 698723252, 242731621, 378798416, 182066888, 371213400, 999429233, 810646541, 687345911, 358541628, 787914706, 727608893, 475076882, 522033594, 13058470, 699360716, 865049020, 561198955, 648696344, 693576436, 799233467, 912461047, 709722394, 639739299, 856911528, 923166831, 615281606, 845987592, 740301524, 447244682, 309807842, 260895942, 777323689, 411645852, 105481718, 492880528, 56828371, 984487423, 939469865, 109854138, 462641880, 302569297, 753631886, 357492955, 791134853, 974253624, 919872955, 390245348, 833402767, 607915465, 419993766, 869859578, 255888493, 645972826, 614822923, 861496743, 453939774, 652327063, 636692058, 26961949, 393348929, 577208754, 570384349, 915464008, 555603908, 688080143, 739867290, 278667745, 852496861, 340240289, 274799760, 834123553, 676872267, 873358572, 747351498, 542857304, 877843704, 646459977, 316765278, 13930173, 634453191, 776784081, 515900594, 513100554, 391542313, 277921695, 830225473, 785380638, 271857327, 70542421, 842102462, 532670509, 818649580, 751543355, 121119619, 161668041, 67271312, 11587448, 746697016, 5815704, 921711072, 455808595, 611623731, 75143801, 747708738, 359458004, 289588999, 300164818, 7218314, 576126946, 355454873, 134085123, 568227460, 266095195, 895382647, 759100076, 186887897, 503804915, 698444275, 1303338, 452137144, 946822488, 956402565, 888320654, 971272546, 463405661, 985436841, 316483605, 483563761, 999417010, 409158569, 298782710, 270977266, 942134475, 934408220, 517190036, 468709465, 333404333, 403664744, 47084799, 36330309, 106144999, 266455191, 626970100, 853603880, 720670490, 111144959, 892912098, 233179826, 951407546, 484684930, 816685322, 14403859, 120167585, 100472012, 901721526, 905717422, 497610121, 245786690, 971912593, 595550001, 619178743, 651303552, 414328581, 532041263, 94258691, 652679665, 86609560, 271816928, 768918537, 506849117, 883072504, 159342653, 738381828, 807797342, 65167708, 579130706, 92369748, 194340084, 446759947, 154870070, 588974633, 198917824, 884453032, 911739598, 905587893, 27199943, 83269458, 209921886, 526370086, 195582269, 576265621, 579569864, 813758183, 688907048, 883112835, 679864341, 818278955, 58846261, 614856158, 847048235, 619491944, 466675950, 78789834, 133330722, 85048607, 412694965, 308957872, 916326502, 249420990, 27464433, 96548839, 52867228, 482257041, 25450655, 221395468, 331777688, 691107656, 256088944, 713890515, 651776348, 101440838, 566785316, 777461547, 228634008, 695324295, 970362837, 272266352, 776084922, 368279583, 306674439, 393434752, 315185721, 714747355, 449158848, 997891749, 575699223, 182930309, 313694453, 797437133, 292740822, 95560805, 489825763, 259806195, 529647674, 747149176, 957072515, 930826218, 679585112, 674318242, 761725325, 398470022, 108923066, 45358222, 257001088, 488737298, 241332224, 593950965, 438075066, 535411989, 518770077, 337421363, 690976482, 317299601, 229968987, 531544099, 477972526, 342858643, 90204496, 319804246, 161933161, 363480956, 631723618, 735494831, 500730910, 725016895, 237396589, 52731275, 613024988, 394139220, 69800914, 333125088, 74275999, 776228724, 933703839, 895745222, 666202886, 333351230, 515288710, 260228570, 613235948, 784408227, 920314402, 198983555, 883739329, 118119155, 1314806, 655870883, 170317759, 71965625, 29859368, 980426024, 25680078, 17978464, 107632410, 750798799, 434375292, 979585387, 167394995, 219295896, 441210394, 598073505, 629489128, 503029683, 872587973, 10702330, 798126599, 921818727, 979236600, 941612281, 710758608, 924291445, 976743214, 89713257, 265059590, 981230401, 843310683, 520938987, 291592371, 904386679, 319001396, 113607103, 725847323, 589987618, 794694413, 734197838, 167538740, 64441325, 613554745, 177713860, 926939769, 21763073, 557309378, 199008331, 254922143, 225195101, 421981080, 498384076, 774473617, 331234859, 865283235, 934930609, 905353017, 963705139, 651484089, 210724854, 423578566, 695541503, 17919456, 545249524, 65238734, 765457386, 327660920, 792104583, 646752630, 357839751, 12591903, 226954702, 768422548, 58765345, 956916646, 726903987, 211954004, 906500141, 106154614, 54748039, 414414390, 75149149, 972476262, 989209927, 330668258, 843836362, 320977684, 748846096, 44580453, 190809275, 978596989, 308659624, 275412907, 147180938, 547647937, 14690205, 806866898, 359958094, 56971225, 241209220, 112855212, 937691826, 538654852, 525096766, 620049389, 782660260, 720924466, 44559752, 714797745, 165733089, 546450930, 549937395, 986113491, 544164994, 839487137, 627292386, 367194578, 746782920, 348056578, 588657227, 786724684, 303346008, 226967049, 134363643, 524851289, 465256257, 391600851, 271816188, 415848525, 211445857, 346962517, 21379632, 347435685, 486524888, 751882964, 937956734, 368700789, 131983127, 287061992, 603820209, 645783901, 644259818, 670100040, 99107159, 872760311, 660081346, 667370232, 790345479, 306882574, 641444723, 82647803, 302909309, 79945067, 84803397, 968793904, 607659918, 492556144, 14697269, 964087087, 479901140, 921061463, 506497985, 466313742, 939127174, 814641983, 644859558, 657951941, 302252831, 236052260, 75297976, 579992712, 216630676, 479175455, 227724935, 734508726, 269402372, 132804373, 843732932, 672970359, 740183346, 819894740, 792788794, 272605491, 172489088, 978904410, 124025700, 764626958, 771078826, 930171120, 791434755, 905572640, 784788972, 944670367, 857769900, 839261637, 9594810, 21603400, 505674287, 880593418, 154019928, 521074491, 882577849, 456519813, 564021901, 393284413, 897061608, 830248440, 848871373, 583033859, 910679957, 791147321, 661202118, 339367669, 936626914, 59929433, 341109252, 157560603, 435863277, 577447333, 362128643, 864945983, 62389073, 756117584, 116578963, 181681040, 283250950, 693510016, 467333107, 575079923, 456568635, 16637679, 868389577, 463060698, 774341709, 890428627, 639933602, 208317379, 927303711, 183954074, 363686409, 722445291, 990613859, 623663050, 842011954, 218863088, 835816007, 715297021, 415331564, 789388359, 157484509, 485540153, 242294939, 849829400, 650545651, 710009614, 915979997, 151580704, 550927066, 298886974, 268424250, 369925581, 613571583, 499664023, 177851543, 52654554, 533753285, 959813892, 979201252, 777086219, 551576833, 208673905, 503915585, 353936619, 889404925, 272324092, 389528009, 999839191, 130872116, 709319892, 720091222, 353658467, 778246500, 402441242, 774166153, 736775515, 743919106, 982160236, 491154165, 506895893, 303042686, 943607163, 373677820, 587497446, 988628839, 227282748, 397954754, 15411863, 294599943, 480961678, 910117201, 904592286, 562812227, 552283067, 399829815, 574944305, 968694116, 965843832, 438930486, 5022343, 622134929, 76748049, 289234571, 836609726, 490012629, 329161652, 402442218, 419370560, 633737295, 521670862, 169724533, 433529267, 438529052, 106417334, 985734045, 114258302, 481620854, 166219356, 371301632, 615858922, 933295830, 880654542, 253209112, 881361464, 625265286, 39978427, 50074429, 455650705, 702022074, 984694110, 417789802, 289604331, 932424707, 241747896, 141277632, 70220177, 220028656, 545508748, 596462002, 744441721, 134043637, 195322384, 25789241, 122717981, 940299381, 68797754, 152668259, 537168582, 728233051, 582947482, 430997905, 876347615, 783872679, 900688430, 686403473, 561489812, 261083602, 627666963, 360067110, 571831207, 855971387, 188388797, 483195833, 755508928, 828663106, 471012789, 630524989, 427181794, 721394201, 209847638, 427365252, 503702343, 409903443, 298212081, 855741865, 655035223, 25376517, 528058808, 238829521, 795865551, 181357024, 400686450, 459670441, 923810071, 485069576, 751147503, 306231269, 708371113, 395848307, 415192636, 155378765, 920821998, 727464757, 147474184, 316956777, 170866426, 475750867, 446648156, 492020672, 800674799, 808868103, 364409530, 3958306, 40209234, 701370673, 243272041, 796117332, 270193136, 357124494, 235125490, 719232973, 965881857, 539054508, 236818300, 347858877, 895479324, 184256136, 988041309, 708220281, 810150827, 74556832, 6939617, 534133939, 124645090, 694728504, 65087308, 465808815, 632306117, 679374238, 856748840, 129155688, 684330629, 989716346, 291947844, 358112382, 698410832, 477052622, 292854700, 909225836, 760668181, 74781137, 116818899, 490232069, 941228501, 632429247, 744394, 875448560, 566145810, 498758025, 819964886, 225393135, 735342219, 400555715, 113323001, 293237924, 316772064, 447563558, 558932810, 3564697, 533368513, 171790746, 802073295, 289427371, 465765628, 674261253, 392922510, 813842718, 463625375, 634729950, 353043279, 34962369, 169243900, 442727126, 20373050, 571677244, 480462287, 200599331, 109675100, 303623931, 721862548, 853784309, 4944577, 908560390, 93320675, 613369062, 473647091, 643671963, 726017620, 835622224, 398190425, 829661237, 323183349, 195625860, 904370381, 789057007, 616104033, 236716704, 920610352, 721841561, 712525522, 275092143, 106962413, 748490581, 899509374, 958972274, 406645489, 25052616, 473566949, 987155700, 931655820, 523649957, 513212466, 515950560, 156447269, 28039913, 384141311, 123829138, 600887828, 560782307, 22521761, 510980104, 259179528, 399167589, 614648425, 696929265, 552834908, 273838022, 211669431, 815817727, 866551573, 384124621, 200703310, 489704623, 25068370, 668235513, 66961863, 991085611, 887680569, 167144758, 697311896, 394610774, 437419404, 957994445, 358944698, 373042858, 57888877, 701340018, 438154038, 371149142, 932365775, 536060517, 459232046, 762597796, 706952657, 155243101, 522378222, 273245356, 209992084, 880048493, 264330762, 177849144, 689318427, 934012886, 993864239, 499807429, 740397780, 450750511, 632216772, 927771836, 202940221, 591817134, 722388479, 410196766, 732073080, 390225839, 728967104, 438403863, 928231128, 105480813, 720316220, 236562869, 544055785, 855818479, 149351822, 984887029, 150670612, 906133314, 488738530, 390296853, 119336246, 514623874, 131943329, 43690192, 203360404, 639113947, 842272451, 534965890, 295759081, 616480439, 77866178, 836786394, 915754563, 981802762, 675768704, 451534341, 739295199, 530905473, 597794122, 717950814, 258732470, 997231761, 469133892, 166328026, 944491503, 188762526, 609447847, 352132729, 229717568, 50933973, 52107404, 958895022, 218752711, 816758689, 670653464, 644181198, 913228391, 254703025, 434939456, 228100669, 439175110, 708116522, 261391731, 171136552, 234530911, 366467989, 781924305, 435647087, 244213643, 63267264, 31182890, 880897696, 385314181, 719670585, 81492066, 908462286, 487802053, 927103466, 54505309, 177085070, 834823745, 129352465, 989013711, 445956925, 67370824, 218440862, 480616191, 769162777, 118639220, 890916187, 935750445, 481737372, 920077038, 294698869, 340130919, 757580753, 363912144, 44550535, 710447917, 752911899, 308464902, 15700549, 638002560, 495935540, 550044614, 519258823, 521152382, 20324966, 984783720, 135293298, 602170815, 61420738, 438325217, 121474002, 651356725, 24127248, 620011059, 25312717, 493272641, 983592838, 74557504, 166134329, 674693831, 538423007, 434482138, 552562935, 206016947, 138071284, 371965062, 549566018, 451140067, 900989560, 282719257, 147398415, 126729487, 120236564, 616682248, 957243273, 948759948, 444256596, 404902592, 897860326, 111318623, 537865175, 32750649, 634111448, 337406107, 751299649, 819691915, 946985872, 265367831, 335041076, 955732322, 838399646, 496113106, 952002986, 285740039, 790711204, 230585089, 241288847, 355448527, 633000175, 802541649, 640093780, 24167048, 500482046, 234458890, 549515174, 993937566, 934446227, 89188743, 437857081, 960518490, 389456969, 442718180, 961459893, 627386383, 971024398, 713327312, 204100312, 244239283, 234190138, 900377183, 841120815, 414853647, 886947927, 327915415, 520874931, 537768064, 378724138, 975452513, 761247015, 504875074, 377911946, 965421218, 3597172, 565263980, 537549910, 407354428, 190388071, 712269503, 246353043, 502172526, 421925677, 512747273, 772314420, 682103455, 468097468, 283060185, 648346784, 950168035, 78384702, 841127759, 407692749, 942767286, 497855207, 448835105, 785583580, 141266566, 557765110, 855224841, 407384142, 823116158, 341599514, 446405822, 692074716, 502405962, 488605958, 989163663, 39428288, 770272167, 710153203, 949272438, 188756395, 655724788, 665025175, 499976718, 647830479, 287492925, 824948783, 322837858, 691005959, 738456283, 76231328, 507486328, 878875245, 353934955, 611748891, 438955820, 20344676, 971958933, 556348114, 340725381, 496845277, 294559687, 549563057, 43942722, 468526640, 858217904, 786885232, 145848591, 261269689, 313228810, 989409821, 430075305, 905869119, 297832781, 359364525, 379445959, 595696756, 2726833, 452026848, 592914836, 720360237, 194308220, 466199533, 600076193, 766694664, 910366909, 738121379, 640195747, 245597010, 837280424, 587520798, 888942319, 173502759, 294746105, 849782813, 660192612, 48578573, 904827291, 55085557, 830144991, 958920936, 556497803, 586509666, 946149452, 383633545, 634031279, 477406574, 516734070, 321834935, 407565383, 873020056, 587992987, 391621719, 53320374, 998811058, 311345890, 661240675, 867110328, 427974875, 597132106, 127394151, 765815004, 265110505, 577192060, 285153351, 278071262, 720568443, 539431692, 169076822, 238215648, 5740443, 691837132, 224527249, 235569528, 41001320, 77377328, 598688529, 87713375, 594345093, 558394736, 481718931, 846880657, 378559572, 228887106, 747695952, 501187310, 543035060, 529143103, 62397247, 564697662, 20730445, 872787813, 424627998, 501072945, 978349855, 12833325, 173158458, 601579657, 650316173, 114784390, 977536467, 329119273, 601258183, 886617583, 579320262, 609499062, 147310476, 645023080, 506180405, 96760350, 985688818, 532916359, 851826637, 62274855, 910759494, 160748668, 134048105, 977738565, 695727079, 30548563, 390162674, 606788849, 406069849, 598940243, 730228903, 481297338, 241549237, 915985251, 577612905, 270360815, 195567679, 67170188, 914533713, 5456131, 977573581, 321639873, 427348242, 191596216, 563982191, 837524761, 558081798, 953252855, 29027491, 928173257, 42992490, 883817996, 250513479, 344333921, 355774576, 952424121, 911423891, 142221050, 466870660, 363927635, 986778225, 898883247, 631158224, 60082126, 811347403, 152529631, 994786011, 937691531, 75861085, 750357533, 608901857, 460771829, 565057119, 432570642, 262872518, 10452929, 999752473, 177869033, 886100984, 30663522, 985468000, 733295601, 759210545, 527001400, 194079878, 730859753, 580583154, 225247840, 766801410, 720221581, 4072751, 468256583, 747025047, 298565272, 935422603, 268669804, 647612038, 410838873, 13516392, 216386972, 631567485, 196120957, 604042428, 996116555, 112813558, 118151990, 336710, 759272980, 961881335, 124730586, 681845778, 167967264, 611994261, 912366543, 212775663, 607317630, 186387888, 10923832, 874144781, 468210691, 375625472, 188499871, 581576249, 769920666, 84612058, 925243996, 675472295, 117876212, 895713389, 330159047, 308133840, 579766125, 85831607, 501641346, 896813213, 160657167, 139590170, 678350882, 133291121, 733853112, 414451096, 995059960, 893382609, 189394922, 256267826, 526169776, 446597846, 438782695, 253451589, 574791815, 718712556, 511814195, 168428443, 323179978, 666832649, 214626074, 354490576, 130268154, 589399796, 715357110, 682753662, 75626490, 856351079, 229911278, 796356384, 261247558, 367818390, 731885525, 751291694, 691868831, 319572739, 735316807, 877434840, 138812504, 35533768, 515384542, 887235991, 502970914, 360528188, 160272198, 461446063, 347001621, 624112443, 35083895, 433108775, 692834177, 816245874, 216341000, 28382785, 737984920, 620737656, 394148746, 718863078, 576723877, 862866106, 731528691, 400097419, 220553715, 827239768, 781669201, 323554380, 861587256, 354778100, 137537716, 228720444, 249634478, 840308266, 45476595, 619844297, 599321858, 642279310, 646378008, 687735047, 992088191, 181697420, 330987892, 222753197, 125301344, 399802088, 345945142, 131018401, 222824179, 418638153, 147577682, 47905080, 992285378, 564246134, 108985672, 284056804, 417116769, 850586089, 770060146, 433406648, 438705091, 860229778, 669974017, 85742378, 857751676, 18523296, 664766901, 297943566, 849637043, 962807000, 979472127, 703468989, 851080753, 476113249, 243971369, 690688322, 777808421, 301960214, 115572116, 747408907, 722406108, 850208604, 606039383, 330053923, 703967495, 428020135, 985752246, 774887180, 717392934, 278656334, 229470446, 791163106, 612732073, 138011880, 315413086, 846002968, 455208289, 541326271, 417040254, 362013400, 577536744, 253706480, 966873188, 379702951, 996205416, 627385760, 542794793, 667584290, 754538437, 854436351, 975254079, 142283019, 100574540, 624264867, 31738104, 457070578, 667475270, 494582229, 356437103, 325067913, 760791434, 244106293, 919564974, 194404691, 50046265, 96489370, 829089796, 373998751, 12969404, 606707597, 853275659, 870239786, 826955395, 443896757, 585546180, 378475198, 733977225, 518540753, 917889187, 9370279, 514452136, 326007834, 187250430, 348125898, 718608089, 571722957, 821378585, 361861733, 475149544, 331236168, 787964266, 927563304, 688448074, 53759865, 129088187, 904220414, 309868897, 482833389, 437055898, 834821434, 354956736, 679458694, 527256301, 966173999, 423565759, 501328355, 674483039, 855559115, 549969944, 643148227, 118819534, 916601744, 426253736, 938020567, 216591235, 884291550, 65619928, 365862701, 977157042, 839112138, 756016511, 343617485, 859319468, 574183795, 553885439, 231195067, 13204058, 477411580, 170034361, 95612755, 76173611, 987347040, 543194069, 911394337, 408910208, 44793880, 911251151, 566327505, 964427343, 224743517, 382048904, 986245046, 991957518, 482079118, 730654567, 573922023, 934115451, 544953326, 360586088, 1126811, 974058558, 539004387, 525215261, 845329572, 18023599, 300210461, 750003980, 853251337, 909517530, 111958144, 334859959, 234117275, 614797019, 234551185, 551320300, 85466095, 203989952, 918911369, 137976140, 481529708, 696311130, 966232044, 72790881, 280150123, 261671612, 51298762, 465301380, 576661383, 749303328, 559108747, 708562549, 47672985, 916950319, 355835182, 450965966, 185021208, 260585624, 434103250, 964475799, 931117746, 555120091, 470042740, 347417589, 933741507, 593300864, 125701168, 470746022, 753373722, 944836698, 215701784, 938439610, 459744818, 826349595, 622490439, 554447595, 485751300, 131790475, 390825819, 849410640, 577334156, 395120842, 70197602, 631249282, 766952728, 997654164, 192804214, 401774451, 363842000, 744276951, 94171074, 438366636, 272749477, 38846124, 446574883, 356324719, 461486787, 233940657, 222390934, 143803705, 10980942, 549726942, 909479785, 182474114, 974347838, 633730901, 587654762, 988003282, 480456598, 55622329, 143382007, 265478654, 821587026, 256541060, 675882970, 27372001, 26715510, 600125717, 703250994, 953370352, 46656027, 463111214, 608516332, 652766552, 11835667, 310243567, 218474343, 659018138, 598996186, 323479685, 284520226, 878710928, 423488620, 74937952, 790155916, 597145410, 442963428, 984537001, 127701340, 52368130, 852694434, 903467135, 165689694, 992104607, 594385012, 119171394, 216873805, 617115132, 842390781, 149958427, 138274235, 681587061, 665546174, 836564362, 609120171, 986612050, 626694609, 619327540, 828110418, 396487217, 227594842, 181739026, 843823945, 599046142, 681491704, 743860347, 57138292, 919477927, 949144669, 319009342, 551194247, 225464746, 578667131, 523837154, 477192631, 418437386, 69637003, 916196834, 443353777, 298189381, 698175615, 36175982, 536024231, 145432579, 429346451, 760980955, 450085805, 984941589, 156752776, 591124425, 799610279, 340478180, 994623944, 647005900, 191728321, 843359670, 161306004, 690565492, 971005720, 116364887, 744650636, 412424248, 903854628, 671915958, 418385906, 299381003, 314376368, 605857635, 770386362, 343725942, 896323759, 971695231, 60197474, 678155694, 82705310, 29898208, 280278100, 22677175, 531015239, 145943025, 160901236, 75923088, 270323053, 258108882, 748267356, 446508534, 171820302, 891169654, 880491220, 921461385, 791771127, 493432684, 487743458, 83722855, 405479700, 570771185, 11530161, 397897055, 177026757, 518535556, 298689693, 800236368, 89101988, 395769527, 638409810, 992911378, 706320109, 785900169, 651551191, 370725312, 923992644, 447586697, 270184793, 805668140, 944535092, 53787002, 575290574, 805870483, 340453164, 474263504, 680560784, 117332378, 741972373, 234984965, 367483386, 303530368, 581672093, 585508815, 318531106, 14537308, 157523565, 547637378, 765747416, 430658802, 23341923, 323781067, 863630319, 451830580, 146017369, 374315606, 92943701, 736153614, 395015407, 556934150, 945271940, 293870471, 755646217, 391595272, 206279495, 922168060, 111445859, 817624539, 409636053, 494433798, 302464360, 327818083, 215138055, 472878864, 806017704, 450269044, 983791480, 624244433, 314906243, 798618751, 624497407, 704632096, 192246452, 367377206, 716198936, 271529747, 663989441, 92439241, 672933319, 608933959, 374299069, 991678693, 926317900, 965533587, 207598680, 418253901, 538236740, 668235038, 504378091, 736171529, 653017103, 63379366, 154006885, 609050190, 468560458, 891252233, 371729888, 428083002, 698755701, 487114773, 142230275, 752513267, 363884915, 180151625, 859202502, 969688535, 686566351, 684018812, 24483476, 28646075, 952556254, 881593840, 710200122, 954543371, 787015339, 27454053, 206617704, 880976708, 900996968, 97663371, 447842664, 904058052, 710909966, 175922232, 316174703, 633645595, 589930024, 863143554, 344386226, 47901130, 943900175, 343624862, 896034301, 762183646, 38494376, 445160143, 32325533, 74386520, 40749150, 845739031, 426696252, 675932537, 322632569, 255037707, 52639097, 497996902, 396144155, 44155123, 64636113, 180461689, 283381780, 925963686, 154418343, 818307263, 600314640, 718610567, 60094177, 260310866, 837581056, 25310401, 332785862, 29009643, 695496907, 827538757, 857177979, 258373837, 123289899, 35442979, 197604701, 989184015, 109023337, 507139572, 685580374, 297659784, 679350766, 124503585, 340586112, 710606342, 532952316, 626278108, 639450768, 937342098, 561907859, 216884717, 85377019, 91314093, 772771211, 320208447, 848211720, 474744040, 321068667, 360306752, 795473429, 905689757, 48499098, 440603852, 257393865, 207363949, 417693413, 186066481, 294619043, 949909882, 760607143, 894853675, 309565188, 757276800, 352746162, 317691185, 424790180, 356815555, 418968877, 801808837, 584776380, 458375331, 884922990, 424640202, 955661579, 221605235, 385246648, 259124235, 370734110, 809581661, 733837774, 850415773, 542071171, 762888903, 808491492, 804153283, 638528500, 583694002, 156202758, 321605925, 366974652, 484084075, 142506762, 484078523, 984225954, 440289727, 468411889, 381351054, 730787514, 507343788, 944617893, 497131475, 214969549, 944375119, 286962000, 648890985, 567584679, 264257611, 799265938, 346974698, 355714931, 332783871, 150129267, 931064848, 28746249, 710880098, 786298409, 505453097, 297621349, 996826022, 576410881, 384912784, 626017127, 365108843, 115983757, 478380973, 170932813, 102702704, 624594366, 590748261, 196501028, 625748603, 122706292, 248009455, 976624572, 105844655, 157033705, 791997912, 242986345, 908036429, 143385746, 669025552, 811662888, 38689137, 448845805, 848984038, 790755775, 716540089, 156225983, 495250665, 656896957, 150071397, 212796205, 134618234, 670984747, 461414326, 188127693, 281947246, 79474859, 854442434, 923683154, 479200562, 752561322, 318312295, 546145500, 445250614, 884822009, 535310568, 196636960, 483994347, 216856527, 404662388, 250514201, 461507594, 688427256, 864600290, 150826721, 317812586, 612073850, 307534248, 800188057, 910852100, 25166200, 375623581, 54963900, 181621151, 894507683, 877503424, 89078210, 738870182, 659871227, 744090903, 816405507, 306504776, 262983664, 220862229, 432824486, 338653627, 996940193, 600822915, 78653676, 966471475, 357273878, 533539110, 450125235, 564252309, 326782933, 833960591, 396711730, 979790595, 673714765, 955787736, 893599453, 882144702, 381913228, 62494403, 701060504, 774985287, 108067428, 340562457, 483570047, 470426731, 544930870, 469766347, 264300198, 926178936, 592743103, 53767873, 475693550, 844731794, 96186106, 418364147, 561244863, 221114620, 700029857, 850572359, 507132091, 216001369, 326949206, 741590143, 737395859, 346306084, 743404158, 709661022, 124449377, 240072742, 181900604, 170158954, 142382314, 815466814, 99764061, 230767720, 981939635, 849999291, 764405609, 272892170, 934120779, 617100485, 864988761, 815236854, 383935340, 815465816, 649809881, 526859761, 38941741, 11162526, 213680804, 685250266, 831439228, 879011090, 571551965, 785137090, 784933207, 347529863, 683705176, 420369270, 563854103, 450967064, 638801778, 821673117, 283759424, 26924407, 77905568, 848905132, 112553358, 22518699, 460615564, 428219937, 649473223, 136723827, 855270355, 482508303, 16207639, 568533375, 39866568, 985579852, 33770912, 814732097, 62754593, 653547925, 937482700, 259706381, 167079987, 215150094, 56518700, 178868040, 668946046, 985034588, 333834605, 36055608, 32556886, 398130822, 313873187, 252279703, 416824326, 215684622, 402223565, 58311376, 371412509, 555745970, 212606872, 847842000, 137746428, 304532289, 776827343, 911408130, 137708874, 743143024, 198296870, 224721880, 911877954, 569974391, 723570980, 929641011, 292353949, 397026671, 170838961, 913855480, 670290062, 381099506, 869497753, 846911003, 390139807, 142104158, 614859931, 173248001, 241207734, 435360388, 556666383, 118667880, 255117145, 81092036, 781655388, 813099897, 431076125, 76716286, 676884499, 656228120, 393270378, 321975561, 270713407, 662818150, 480272941, 169253688, 934098038, 488503951, 1258627, 128480479, 606522008, 831867100, 134152583, 978177819, 87172043, 627282697, 786650093, 375982630, 288295884, 155109851, 762352950, 445870914, 697002011, 738212640, 499269483, 826486081, 23867964, 666661404, 138017928, 404455132, 405549151, 798798167, 721231319, 59032946, 285933821, 922679632, 329837171, 304503386, 481755327, 774779262, 669046792, 117015298, 541262643, 596409418, 246786975, 275466183, 702236833, 369300903, 945482010, 429144841, 846322698, 243978312, 792312407, 401292408, 971084162, 271424910, 961206693, 483013145, 505673149, 243530000, 789795071, 636513810, 804283748, 640991869, 923917263, 434973231, 393197576, 539569220, 442190812, 306055655, 154119330, 40852481, 484851141, 679303558, 713137641, 598685517, 255073719, 195035006, 706444901, 670743411, 12588112, 187906693, 261264634, 595146731, 868078413, 815176688, 76513761, 574838786, 930437341, 243256460, 376653500, 932878848, 450624164, 667176137, 952570439, 861825040, 841432007, 870737199, 273713888, 689463567, 911461424, 577671470, 344939184, 312028484, 130950357, 861091348, 897311486, 491334435, 483999686, 71873433, 308329059, 491936390, 805735404, 606991518, 304757977, 968143805, 9418007, 693718288, 388659747, 365290662, 74778825, 476559804, 341918501, 192770602, 492924500, 984982690, 256134487, 999237046, 536444074, 110505706, 390985346, 632676378, 314403287, 546469361, 55029514, 220966899, 763610009, 119275949, 94597302, 624815903, 569098357, 464388828, 211550335, 967684527, 333255860, 596218321, 829746733, 893935774, 135733069, 444224814, 125040302, 950388202, 906736360, 495242671, 596018588, 786121052, 773388734, 83658976, 499895329, 395862373, 248886819, 461414772, 168685266, 328908162, 488521550, 572377703, 381463565, 768685446, 810312101, 629418425, 179921848, 80723656, 77129408, 619966785, 62645920, 924451815, 795378085, 863319385, 411272486, 526591426, 357379185, 162535868, 691072356, 316903018, 758440888, 897804876, 946248935, 135856097, 332100918, 567987462, 494216775, 876182539, 228327938, 973468236, 14657211, 595181696, 316908557, 809942827, 188055567, 241062387, 689085018, 568884400, 129459038, 459663139, 518322002, 454581595, 568246653, 583585915, 402368319, 984248032, 67201333, 491701349, 984257581, 349280248, 305259956, 143949216, 770118898, 969228546, 724337308, 240912492, 209895783, 344314680, 40938072, 615673292, 133171812, 546045234, 750163875, 598145662, 73706511, 694188674, 143101156, 826829041, 466409016, 189595204, 970269120, 567037830, 83897120, 268298223, 366201015, 823655146, 760980960, 201393427, 169291890, 754004906, 128881971, 816624344, 940900864, 870402153, 185272258, 160552854, 454673468, 590524618, 413661754, 849999731, 348926886, 363950480, 898309673, 989368836, 78936563, 925624810, 934819235, 813904691, 896645443, 996823509, 772667734, 221835841, 587860356, 887701003, 384272483, 571187617, 314085435, 369900501, 243336322, 217223240, 355450268, 900064041, 116935503, 297019746, 228259081, 110179657, 309460819, 340004089, 978122501, 602362029, 645948193, 116474987, 98523430, 583937701, 158642314, 786571882, 100821232, 848776645, 105080643, 918028466, 823961920, 264530355, 686600098, 400943775, 938248615, 447431535, 547694840, 27211026, 960615761, 681380917, 181601095, 154803678, 894019126, 655665065, 943618893, 962321621, 564777430, 255935481, 585160591, 49446091, 429986631, 7106256, 379032718, 815370129, 442223223, 810599818, 829518073, 500846988, 904950161, 908378067, 609972622, 815483780, 496063040, 900496505, 27992381, 306965622, 553043406, 724079957, 199739566, 920495465, 528864076, 167714032, 659610856, 482707531, 779869875, 973999201, 106218166, 187880277, 61556202, 13349351, 136133915, 473402042, 924039206, 848181009, 832525174, 497839158, 962341577, 406750703, 578609610, 549024155, 679999082, 791433315, 663560670, 470454086, 480471081, 527765202, 484163529, 621698988, 975124162, 150379744, 822867511, 498365207, 55932698, 179850069, 651178289, 300465853, 506084658, 586394336, 370894762, 808127850, 851193142, 763351272, 127505893, 12517271, 558794633, 773822516, 654129253, 745196755, 902128261, 98627727, 513811269, 651131516, 289004500, 648497004, 539140849, 340811579, 554316021, 490623072, 753528271, 540352790, 693212732, 863715412, 539231801, 12956480, 949628409, 991024402, 407890132, 883145154, 973348979, 52895610, 59641920, 672042215, 451899623, 169334973, 593601810, 820064742, 881623129, 998777953, 569012647, 298991358, 183764972, 290605336, 23678256, 414911685, 947221827, 22307553, 135925152, 974459464, 795578744, 45429430, 962135099, 822576021, 386358894, 735168031, 302606911, 113122226, 208912544, 691085970, 767085831, 982196631, 115786866, 463331198, 866345267, 802601220, 624534227, 985048007, 637132404, 50829904, 253964941, 381380167, 508802121, 358921261, 667956862, 236594876, 662684379, 111566795, 539629398, 84657973, 370005337, 239401006, 667891187, 865003018, 990533400, 501438887, 405091991, 625616534, 612545710, 773105562, 679072139, 793214063, 438834397, 882244800, 122719009, 186291502, 731177761, 440776721, 614840267, 510005329, 640231152, 499239661, 971596585, 200089786, 874711218, 780167101, 230847521, 453048368, 234876263, 566183479, 905281860, 50535289, 779760842, 756622801, 11861897, 24203685, 761064321, 152182601, 295573477, 311871089, 19388530, 95246339, 897595566, 966973066, 860498267, 940333730, 959980821, 245810455, 663585717, 741392096, 631256873, 591444899, 674791824, 701615484, 654137077, 820508309, 474187501, 94601642, 175367460, 352475832, 70813243, 763614412, 62632914, 407861042, 625689595, 176711261, 144744079, 18501107, 430436800, 191539830, 493289027, 908953662, 893856498, 611951445, 211754734, 954252396, 957365849, 830384003, 259233512, 455682250, 183812518, 284004972, 975130500, 234353378, 168653457, 247093864, 770175284, 630384846, 767353520, 21117691, 796379953, 713810572, 631816127, 822028086, 568857258, 313877017, 875687817, 627083679, 516159962, 717935151, 52563741, 266095254, 330524193, 670799145, 394171092, 402572073, 734864751, 798942254, 294060388, 748816178, 214274513, 220858698, 205850837, 513718631, 519214960, 936553373, 811314221, 440553089, 82405590, 601318004, 634130851, 960377456, 624362166, 619068451, 405927380, 194587343, 783466395, 734161941, 531730089, 289237911, 889477943, 342845015, 594622957, 400185460, 255725874, 149524192, 191887966, 83806972, 949853376, 552348603, 982047103, 940996450, 385600935, 730478848, 864525586, 775605489, 202137592, 812944592, 866887016, 458832007, 571813626, 295856471, 453930200, 406651878, 308997113, 468386750, 437982160, 54945833, 524890516, 944532781, 808507055, 15963636, 578405473, 481883215, 179392871, 464135894, 596319762, 249661645, 350139982, 63487953, 778200526, 619642320, 2226483, 60725891, 312686723, 872340599, 781997706, 243203695, 852552321, 410471908, 703292247, 672850009, 372731254, 466201161, 265545508, 44247586, 170814873, 11631951, 123009807, 318889397, 195627144, 292547811, 671775203, 277727479, 179326987, 440493628, 129426096, 121634017, 3306539, 27011000, 900450520, 473033743, 582470505, 276836809, 778685284, 797572125, 378541893, 131068581, 819123665, 76788598, 981821629, 888831752, 952466774, 22380426, 449999927, 477067092, 709999035, 220976801, 515661141, 36535452, 390257907, 618639687, 437561512, 388014836, 211990799, 100798049, 601586903, 487756422, 700506398, 773065432, 308475164, 820054734, 857273013, 351968330, 162690949, 638817732, 702704880, 776543614, 978295334, 861746072, 305884329, 564529890, 624471795, 872044194, 909097819, 229201953, 607909023, 700267844, 430263257, 558203554, 784386595, 537667863, 414725684, 355204731, 536941919, 254521514, 579064247, 636917144, 892376568, 812932701, 144684894, 227883929, 99209098, 840626330, 63958400, 183154609, 638236184, 342703948, 604969705, 825924498, 799999691, 176042291, 123374437, 649149920, 719658364, 11596502, 820356928, 762960489, 863293368, 216001657, 993638104, 930527485, 881911904, 176446374, 414157785, 540550308, 364058844, 303358518, 383239444, 359502408, 348858095, 439638486, 924375827, 745210188, 875663067, 377683061, 5294414, 511253455, 771714698, 601038041, 237730914, 910597773, 96901821, 944616135, 441421419, 459800523, 156854785, 520373741, 409541936, 341799565, 194494165, 580900994, 426608837, 442749257, 245054494, 65912420, 529913774, 689073379, 71140048, 434702682, 617412843, 801515353, 18503872, 996406112, 138294580, 646572925, 309478279, 756359080, 848909592, 6242677, 6058112, 354052116, 283260626, 675928939, 482326094, 751887326, 291522809, 336569630, 588763530, 16318540, 349263379, 140248930, 769899886, 222705128, 392571115, 6613716, 487997739, 510080009, 523802447, 434449601, 433308260, 748413197, 165451039, 614037753, 22044296, 13124429, 44424024, 225934121, 241502933, 34969730, 628988593, 648027131, 406329057, 129819061, 776404991, 839595412, 774340477, 827131663, 203321846, 623519542, 718354708, 425719083, 675000981, 470049478, 420098832, 716498519, 974120492, 950086442, 344086548, 105283892, 596115563, 186685678, 220801903, 215467372, 804636910, 675053405, 734412990, 285787711, 676625417, 624270543, 784592333, 563049720, 359301868, 294696990, 788864324, 376299094, 249470861, 752486027, 857567021, 819813894, 855061790, 273802879, 21337309, 35956915, 319937763, 340702214, 847824000, 984408446, 681388086, 325626564, 980865196, 30688604, 13933104, 695838757, 748951804, 274271761, 434969835, 195142749, 328352453, 903810981, 905734835, 408689688, 452332745, 616869391, 278932662, 19746523, 245626623, 916191578, 610725432, 407647225, 327870548, 292258240, 800787539, 426389162, 508878136, 855759122, 882465458, 522788873, 911067857, 382404903, 146921439, 931745648, 548527625, 335056583, 343592265, 593068068, 185162012, 905294370, 720959487, 373574171, 391759693, 135438128, 478758116, 736205643, 427319510, 624601551, 408053646, 473856335, 636417576, 568015134, 573533821, 704614390, 535608265, 687493801, 722433562, 444785132, 212977319, 469686101, 899821418, 591655951, 908272982, 895328534, 521157364, 271802614, 413128292, 696426607, 314209058, 916358914, 459183286, 3763841, 401565765, 817722715, 527893262, 766990589, 287562157, 63471639, 469727490, 223595688, 221397526, 723893863, 182667092, 833994030, 251737602, 538352327, 72007591, 389258013, 458832958, 917081935, 192299626, 985793532, 595224812, 497994539, 716620840, 119465678, 770434688, 468684571, 971619081, 921267602, 866345905, 622052953, 796275893, 556975492, 948730090, 994704270, 5451, 21388367, 819743463, 49886540, 880287725, 445486866, 420457915, 358686860, 335962831, 32016978, 126124913, 616868112, 430397271, 85457687, 458697312, 909466961, 901025110, 403368718, 42309129, 20935675, 520489137, 749392194, 265208254, 943491259, 460347429, 111349522, 435525859, 835698795, 838678305, 662253362, 851635812, 313446573, 385408848, 285450857, 794964187, 123606917, 888489122, 266722620, 227980392, 900639352, 867157889, 460355312, 779236460, 116034433, 226862175, 453827948, 751845844, 863787112, 759674565, 133500353, 701806781, 95732238, 395221784, 472395140, 942810533, 359308128, 681916606, 489835133, 572574738, 639437466, 308219514, 636468236, 637432850, 212774190, 14225556, 554559786, 101203409, 285584537, 587719332, 580791024, 437549755, 18560448, 246309499, 852648045, 415826751, 190292077, 456201517, 849768139, 317265747, 40698751, 110438327, 778170729, 887345958, 392263227, 871926122, 148645276, 247758792, 418201112, 530529080, 284421082, 338256742, 233523990, 760608831, 393752530, 66577273, 635502856, 209013504, 628290915, 841460280, 650198253, 708658128, 57548810, 663422283, 421158175, 787825730, 544092553, 566496723, 972658499, 719126557, 678462458, 488913294, 423559686, 659887179, 63758187, 696944024, 191789154, 966417183, 88900791, 242819335, 856397152, 37671727, 636957520, 586003864, 17711885, 355588648, 837928707, 492214325, 649786124, 235696476, 419852001, 105901323, 441618874, 607401639, 871729664, 322824259, 760191644, 369981363, 20308240, 132260411, 584535042, 997631648, 537758384, 643154628, 671324108, 714633250, 96881698, 311836526, 529741248, 271078229, 726177571, 516092424, 913131674, 145767047, 931704124, 506268524, 934884211, 308999088, 451175704, 177837244, 376714224, 692667537, 877505787, 536048799, 674311877, 670255696, 78863716, 973053581, 351397648, 618415064, 769978106, 578808313, 410047568, 826973812, 741140107, 945544631, 967144167, 705512422, 412539541, 631816344, 13844949, 551987707, 31649700, 266623046, 589591912, 67312836, 522679599, 994037853, 891093250, 801875595, 408874898, 249908869, 199855115, 182326585, 65447873, 43304958, 688696896, 852918975, 29457803, 620460629, 524543090, 902871048, 894723295, 48946669, 894453545, 672648358, 493755809, 26925784, 337860831, 651550049, 864358503, 239953127, 378674989, 938426050, 964218306, 786636101, 387950075, 348591827, 195780946, 309513983, 162505385, 299479918, 743170838, 616089840, 4629427, 663860635, 206530808, 493301743, 520795695, 715743635, 60275444, 133771952, 435257607, 577350815, 31878755, 626235565, 531821073, 621369130, 14918810, 877955897, 52285829, 482111654, 758264312, 71774503, 328929479, 240495491, 991443151, 364344769, 661029631, 965175067, 733134538, 509429937, 547442825, 55316833, 180594550, 174236013, 946248485, 688141629, 262165411, 361681900, 867576061, 344494307, 486925798, 197960815, 763734584, 233457619, 756845246, 536507183, 134767853, 520023243, 5249600, 695609618, 587586955, 641856055, 262461253, 998747739, 63796461, 579061142, 448693490, 470335259, 975376281, 62348590, 502327478, 887934180, 277671390, 55700527, 517978804, 476086966, 810025466, 416579848, 996310124, 878340297, 806890814, 474999700, 163720512, 921776889, 569389806, 266993258, 426378326, 468843207, 167423822, 13192155, 945921477, 561759084, 959360940, 803494373, 641873434, 789361714, 292208344, 150778150, 211846432, 386398977, 527431167, 342981484, 637994856, 232734734, 828909293, 396563953, 929843649, 873878600, 686619520, 633354005, 860508589, 530776987, 842826107, 159359460, 413364371, 318455385, 148746792, 55872321, 942871817, 680846182, 777277300, 109211618, 203995057, 328386045, 442612418, 583611321, 968024278, 202711464, 884741285, 262729553, 299935539, 257873823, 315011121, 773295512, 390118152, 835569614, 444735955, 474385653, 171559653, 540740507, 680815301, 799554360, 714406280, 851106452, 150861644, 525158085, 588040640, 24934673, 836673444, 146869215, 751813480, 718111045, 819176737, 82429331, 899305849, 783473191, 607914842, 828653209, 753161537, 320453453, 806249442, 412425784, 126419306, 793479317, 111229187, 446941232, 654230069, 806519288, 579689509, 136060595, 537716062, 894991678, 816359418, 236327769, 829332165, 988513605, 188038387, 722736465, 760310456, 646522094, 503869805, 417828525, 647778053, 718271697, 645559641, 250347753, 377952061, 956691227, 110529428, 932442436, 588214112, 803759511, 378802832, 313095237, 634600506, 315411254, 368456851, 99191823, 915323601, 535083664, 471984372, 107854429, 59545779, 98822874, 347855344, 618595812, 39633383, 65364126, 920820997, 665434078, 583471067, 266939431, 754755880, 930486360, 179891126, 866722375, 393036292, 697797824, 451835480, 132745311, 219180184, 774697413, 604738078, 913243668, 134444546, 306432694, 299695949, 76455921, 840022333, 800823782, 322911385, 897145029, 409389269, 412013884, 699818132, 416905145, 55432185, 530201486, 729868853, 758735932, 977766150, 449167461, 644725534, 880707652, 83816225, 962742923, 810384611, 461730774, 308536951, 137737846, 916370973, 508346837, 7947347, 712687865, 431943768, 48253826, 188760312, 354208703, 442260764, 115340459, 685291907, 894383482, 449664371, 563563259, 434625241, 129924932, 807202670, 830631477, 239302116, 704785707, 926382657, 286985399, 172583754, 56278402, 245125556, 434053777, 214543439, 850737750, 180354992, 691660390, 948983610, 842695555, 943462401, 188610217, 101727230, 751135106, 419645905, 974514677, 704650815, 871648690, 596391672, 713646182, 866949509, 18032943, 647539255, 196784932, 967529101, 575237605, 379973862, 962537720, 91408338, 867608392, 285229690, 433222992, 34035841, 166206918, 121673190, 618585856, 738325109, 204590783, 84995179, 956118351, 601706981, 736492663, 246987772, 204477313, 684410600, 534391142, 23992846, 828851467, 761908263, 609245082, 332174365, 58205600, 243738682, 844148981, 70931597, 836772188, 568617181, 289758840, 852248999, 919324245, 294594769, 235158028, 458114155, 857537513, 634314292, 949379362, 711380407, 134667184, 231049763, 626738661, 536813610, 766046157, 139044278, 693210396, 140747965, 791823960, 649761013, 138316888, 962481002, 330906265, 588730838, 895544205, 972585975, 460578729, 628058488, 875361941, 446333527, 523074082, 479446775, 919540190, 197278994, 797664533, 251523082, 794799353, 995751194, 563747359, 462607106, 758141902, 459995607, 105759109, 729814263, 218393614, 587337002, 18753197, 453329204, 523402909, 562866933, 800281797, 28235147, 582705938, 273586723, 33214029, 779254855, 609881579, 822359657, 48110023, 924890799, 454319290, 578927783, 912660594, 432111684, 393361063, 536825639, 236088344, 402639872, 656757773, 701905597, 700411738, 778891135, 223704817, 953997944, 957796838, 167681283, 52184291, 551303620, 466139233, 886171651, 739445628, 846610333, 119131626, 418385351, 974084249, 597064585, 973171232, 671977545, 594481980, 530970173, 114822117, 23953329, 416533850, 485670485, 629683595, 637494942, 628839211, 62995842, 202862925, 923695254, 752412479, 228218578, 74656354, 485207305, 962067457, 592178223, 440832620, 231393669, 788268414, 331093441, 473747184, 838980904, 680197394, 454493715, 717945255, 811312090, 714618831, 12441799, 776405525, 367132019, 85616229, 701327735, 206445471, 460120832, 336410113, 624136494, 276137526, 254338617, 318189595, 638984924, 589763919, 448746083, 403027243, 205007848, 300311654, 528512358, 182918960, 331923866, 52811545, 370823591, 180797898, 235374396, 296899525, 405023233, 720309995, 369420783, 338076867, 649483558, 434452240, 93797246, 407833263, 141601401, 695069683, 672481258, 868836875, 825191114, 473571925, 169601259, 307304096, 484065982, 555529522, 773366895, 261952094, 646005111, 218299921, 654732982, 283110652, 392977452, 873544141, 915467830, 398960008, 57595329, 153544604, 128229562, 977159567, 901514162, 928101, 596555770, 136685921, 785731998, 610623121, 876643524, 450230891, 691265603, 298603026, 560095829, 610754534, 258504340, 529262820, 981436596, 403302860, 220312179, 115493058, 925724461, 666597995, 958308977, 941870864, 491431304, 739811549, 814287061, 366209055, 916689745, 984169801, 758183710, 969846268, 102518935, 340415256, 644204350, 120734877, 854036415, 864386148, 122548795, 284757531, 744098878, 339087330, 746681854, 27144416, 136575169, 353567340, 78910736, 386113338, 191281693, 672060236, 51108535, 206713464, 806080566, 904623365, 253557284, 838667880, 264379242, 53491285, 136322583, 604542930, 554489095, 341506024, 241850919, 513214370, 117242843, 220133445, 101932629, 275827536, 786668882, 648815061, 138918912, 563634251, 231435046, 429235034, 88612452, 33710291, 636786940, 917541222, 780636653, 20600889, 949098017, 102517723, 818409257, 780195268, 788024980, 415139947, 352553828, 690841871, 846814366, 974641934, 691129629, 63590820, 291237246, 61071557, 736323427, 357549972, 868138781, 537499102, 326364590, 587220639, 418513751, 896669810, 698382245, 72594382, 725153444, 220038085, 871606542, 163921693, 120025253, 241770845, 47357217, 136507412, 676031655, 643155249, 208289238, 904527050, 475515817, 177817740, 583293815, 987224699, 520356245, 769806899, 783404363, 574325262, 98642872, 838488858, 375511738, 13957472, 169985029, 422478407, 178250965, 378753979, 460229118, 866572918, 791949771, 159510714, 376445279, 700931457, 42832532, 469227797, 126151691, 457350070, 593685429, 381224837, 12898428, 554870190, 23179211, 537171548, 738146582, 1769928, 700659726, 594764418, 188805195, 11976673, 182783567, 685407291, 751116966, 403060292, 977346470, 312485781, 532577219, 687526466, 424133918, 743812488, 73352732, 454226264, 717281815, 615884334, 541736179, 873239533, 945203317, 864028279, 692337077, 391962638, 305424767, 18257787, 850334498, 459066488, 126306004, 536436807, 347469579, 950384567, 758719393, 968891962, 39934437, 35499119, 674268127, 962230114, 3236798, 319653175, 572995629, 151082434, 304159341, 432473771, 971275277, 461816601, 957962599, 545119336, 284680151, 144333874, 618095902, 932917507, 278599805, 608910641, 205847165, 564775384, 623859354, 991150106, 286827510, 110812482, 445761050, 402493117, 9102165, 80809154, 503908438, 769295535, 417165630, 535392282, 116452195, 303464368, 145164424, 626490918, 156138666, 790252511, 812334394, 78023254, 973026316, 684464817, 672888129, 387748246, 670379810, 933804415, 203287496, 398958059, 868058097, 158918750, 697471963, 471171626, 938936777, 418574849, 684272680, 536664353, 195243872, 726497297, 53471695, 771544680, 504081930, 895964376, 754771551, 995118945, 616539886, 963061523, 97047003, 374176971, 474961123, 448338768, 710030859, 331562778, 254858465, 237599498, 960847172, 809898805, 636293623, 911832656, 199761742, 895961497, 509687837, 138529600, 323829549, 808277547, 438588633, 162431607, 870806826, 437483311, 389985504, 514672074, 933258571, 548897179, 43497189, 979097145, 12234182, 866275687, 769868182, 502224188, 193225240, 848361226, 255061959, 372499563, 551495041, 805719567, 949048178, 140195801, 971703109, 738299904, 525771832, 425092684, 655684237, 348458464, 951887441, 371720060, 398051868, 664503700, 760440369, 446784024, 761995375, 953062642, 597811767, 527247973, 4976502, 225333114, 468496402, 826238709, 63301609, 329428625, 317607049, 783503238, 712036410, 972362106, 454108165, 424886003, 686830782, 5577339, 936250257, 973965801, 2140444, 36448087, 468860114, 544621066, 426178303, 241562367, 206216472, 276307666, 700408058, 625863208, 79266763, 412093905, 399690643, 381839420, 467850144, 891184649, 501956241, 24373048, 262139692, 559109240, 804459599, 685326711, 404703091, 599124058, 705638160, 66010830, 572382694, 142393392, 755617027, 211256597, 157972323, 426272782, 170355761, 847696831, 686432641, 383382240, 282582534, 593709538, 320752146, 133156989, 886648903, 855759513, 85513480, 491658679, 725486533, 676320995, 114846874, 210181058, 267633091, 41505797, 802469150, 368384837, 332907465, 459876656, 350386959, 139301990, 476515542, 284084715, 608952961, 912412161, 497156205, 204280075, 930784971, 779122436, 639912989, 126609283, 254803045, 835189517, 130235340, 316733032, 108977237, 592160052, 37559923, 194568423, 914335770, 685720404, 107547937, 637317444, 953315988, 871460781, 22332913, 592472818, 476939353, 297916785, 439299040, 992445713, 152212871, 344276681, 822954572, 414689233, 644588139, 922214511, 181235967, 809186715, 534838706, 927285069, 376960469, 120421171, 944612098, 340608828, 141185974, 654039010, 301901081, 296186418, 137070738, 599074841, 97389257, 797992442, 433678538, 559504188, 996494166, 739448830, 475427719, 869762822, 394867932, 948262789, 452271808, 834513047, 199150185, 49650093, 828712800, 627921535, 363158976, 76454190, 146135990, 427597937, 669425666, 934284804, 522926621, 637831676, 483300813, 114082465, 545888377, 453056547, 949172295, 419258192, 514041620, 231384501, 107162413, 73173992, 844227465, 791239420, 837866605, 216244547, 826610670, 19449906, 468624328, 729637119, 836224906, 281505863, 705697748, 279335372, 582478498, 417570183, 690295152, 936613103, 941382488, 199769479, 29332370, 323861994, 429166102, 112235116, 272958779, 45111599, 422460962, 248191757, 935338823, 304617377, 568451880, 442521459, 432216121, 233999610, 635146751, 881002163, 131782129, 566256909, 411335999, 96899947, 981800344, 279218293, 646961444, 814063665, 667514231, 135908328, 634464926, 479559167, 13326366, 8053499, 901327496, 453296333, 737690369, 632593901, 16736277, 768217155, 398071355, 455319406, 20732209, 642669175, 702322195, 321919264, 943641048, 163523569, 604140947, 837388404, 746504612, 981439957, 669071566, 501080562, 735676194, 993993615, 660724997, 658015335, 679238625, 982401811, 505908363, 673436266, 709620947, 46276131, 148724631, 484351392, 891626508, 135667940, 588451983, 920108566, 210473120, 164587258, 257897584, 78366094, 132963361, 715418987, 482733481, 371780191, 413850129, 15539465, 536690171, 118445333, 325068590, 351406067, 292084841, 99114858, 294398919, 164521563, 274689230, 615947561, 392233866, 985684016, 334590391, 369483441, 434626832, 555283060, 499384303, 791918638, 454703383, 488556164, 876860330, 924345537, 28765313, 655633708, 889124475, 444366319, 426514394, 210665198, 438034637, 770416812, 573475298, 904958203, 879680280, 666883397, 412068834, 661612041, 943371819, 601381717, 209406950, 840725928, 151935684, 915005139, 363569388, 850895284, 806207458, 110967716, 41915685, 646848310, 377072799, 359707201, 613943867, 803593949, 710470490, 104448854, 971452585, 800074634, 741153947, 178462544, 368493638, 764001095, 298633485, 875307858, 840634400, 667643094, 662433945, 444892132, 728864651, 532977551, 889069664, 807924, 742002064, 866017576, 654011940, 360116974, 283588474, 926554740, 153631244, 492723950, 813957638, 106061139, 684115387, 317117289, 559313868, 300954149, 172098112, 745117159, 912973270, 352957873, 326936914, 51617341, 190367403, 855154936, 103124606, 409507018, 606395673, 786767335, 129979253, 613448143, 419384239, 212267072, 171258435, 303796924, 344583355, 908336288, 485870464, 639764421, 74829793, 264784508, 726395338, 372680437, 202248279, 333743230, 731416931, 188997414, 688025043, 5850816, 895405449, 274592023, 365763467, 47461045, 622161502, 55726973, 611743179, 373698512, 382501536, 854432535, 654911538, 936565555, 358261394, 338745461, 523140080, 180902944, 742266099, 515122874, 906478704, 18472792, 643495385, 212687378, 50306737, 162854659, 116210285, 215397323, 435304947, 858970704, 945142858, 293827102, 699132952, 239733461, 318999582, 89424477, 962962328, 670970111, 700199825, 594821401, 287849514, 651805837, 996426373, 603739389, 995484455, 80670999, 283902621, 905025733, 641494535, 440253166, 239773961, 963709201, 87595318, 842810197, 721349503, 378316046, 512241754, 716445867, 428229630, 156658108, 263208207, 404506438, 356637324, 331203229, 785352427, 231184022, 603592734, 173657167, 488530074, 520535989, 936765610, 856553595, 319830812, 187803920, 500330895, 446062724, 550827838, 662333613, 437902361, 867236970, 416574785, 201726601, 573567927, 868043551, 243801239, 745033756, 246537645, 471806556, 867238304, 958583866, 482867740, 576361648, 660624690, 535078703, 594913976, 903258780, 359908762, 900226174, 585340443, 916495363, 216485045, 265371628, 496435409, 726898377, 41144029, 302746813, 380489301, 605332707, 513513567, 677333326, 855863940, 673708101, 326537382, 372873872, 648703632, 307927537, 754280336, 62756143, 756163237, 639572402, 872453641, 445049794, 933385441, 998929831, 196088114, 896181348, 518154537, 163512885, 403332405, 207273960, 960858415, 11355527, 362597447, 655464361, 347233276, 878817314, 891229215, 501385125, 97030473, 839996025, 122006554, 152724566, 349729655, 761924896, 209630356, 617976090, 705655657, 670722120, 172272479, 693499243, 990491492, 262398490, 863904363, 923210683, 28682529, 759389037, 174370056, 988004597, 755673964, 834991350, 144921258, 420593340, 506311894, 973161848, 157079244, 135413222, 58304016, 496958845, 588566346, 535500549, 119836563, 343436158, 799624665, 597392933, 406080332, 328261411, 948115679, 600446251, 941059120, 607635504, 368194071, 584872438, 262462331, 426732312, 491416496, 195379450, 969148608, 339353658, 446461402, 466041038, 105972947, 79417410, 58560540, 300060929, 732410237, 151918892, 854732464, 994757575, 895358910, 153713943, 55951387, 8598408, 802408915, 107524404, 715749762, 211784814, 956756809, 946813397, 610348846, 36306237, 946624774, 841662139, 969945009, 759310763, 474127191, 88758597, 694652524, 141456515, 141156584, 161934615, 328601789, 151239441, 433913175, 124753, 939319358, 792831625, 104331331, 965759500, 144222653, 265703692, 622649950, 793680491, 641485277, 639262901, 935068163, 493022054, 506865658, 766466007, 128909819, 292847498, 548470070, 620197397, 189770322, 969859786, 137679954, 101547459, 745346962, 434736562, 881034880, 896325302, 373049874, 809467514, 530164831, 633387571, 197476040, 314216624, 329011377, 574011244, 119582829, 207882371, 796041543, 923655974, 34393238, 584968327, 927853862, 149250315, 742545690, 583840842, 583311892, 489656802, 448754094, 2834435, 857339246, 951899538, 736705098, 572840769, 328095335, 532707073, 792022036, 718214733, 713143237, 371481719, 268499181, 604110640, 524647235, 879705605, 924568170, 7835774, 958515330, 408752313, 626595107, 26987701, 725553471, 474571867, 483130638, 406157551, 708720495, 680646016, 383006931, 490687371, 535979899, 879403030, 420058062, 536275830, 516180757, 449225759, 227880059, 629632803, 459688318, 37597535, 647290604, 661729984, 379879, 673210808, 655786710, 114463277, 49543061, 898587159, 11730702, 186895213, 490977758, 968165117, 450026073, 358566779, 728050844, 471317450, 559436176, 650792609, 148400895, 751401074, 818289392, 585569299, 519520571, 220538992, 630081749, 733916306, 948852718, 592787813, 66817993, 826751458, 192995057, 414891696, 411627534, 636749010, 713172241, 380794287, 430100767, 271009912, 631231085, 15712776, 955533373, 263032839, 59274823, 145561183, 778962443, 409595079, 241368227, 305497116, 612047125, 170448961, 73980308, 475045977, 891218969, 414708731, 693222833, 459026369, 764089741, 344269105, 972445416, 142450416, 313522221, 587975819, 21963285, 243302684, 963521039, 951741230, 148124676, 522694615, 842622031, 132343563, 667177117, 901624028, 936088725, 516969275, 578853217, 195748012, 138548437, 308962539, 335439469, 571603870, 421392907, 872515199, 358251102, 400914164, 255811698, 328756209, 987857882, 947821767, 978124379, 143520806, 228549738, 277319837, 404772139, 740917155, 189823463, 364610517, 312257877, 506552745, 497851023, 402855307, 276279337, 274210177, 804559867, 471318350, 308464080, 309640295, 261565277, 775570410, 300809580, 217037388, 118942880, 290261894, 589251896, 972564721, 225120993, 276710948, 606196787, 493459965, 746678313, 143335555, 333199341, 356291417, 512846878, 715631057, 97601150, 244565172, 241035453, 804701305, 563072490, 653759253, 830304968, 763369009, 403908899, 37819216, 953811137, 493966603, 287797355, 233844590, 678028934, 284861956, 787513354, 425134604, 132488942, 641345361, 819423998, 575077797, 200592483, 2678552, 773880057, 633459454, 418563614, 392330851, 53212443, 112684611, 649380531, 328469427, 983813704, 615259884, 814402505, 935668118, 581255443, 729541466, 655588752, 547940385, 296523214, 198690732, 246785975, 37038678, 977056316, 190079920, 76964565, 730323231, 453821513, 457798402, 623681788, 805291730, 685126162, 321816683, 649250576, 302155794, 142455974, 505599982, 354378562, 929596157, 273283199, 463125059, 886143505, 420115678, 366762201, 154930404, 861281071, 170433470, 395481742, 422967595, 587784502, 656545184, 467303459, 318795281, 28748024, 817771840, 360241290, 575114910, 564917197, 946197544, 618544260, 562695341, 431249937, 234341302, 783954580, 7024662, 257034295, 457366561, 732256592, 616184899, 706997628, 156243262, 741336635, 546908373, 798077900, 694840547, 382900399, 6011952, 74351086, 482868741, 20890979, 844166201, 5406679, 695182597, 460949325, 948918620, 331990010, 250830343, 330993093, 413773690, 518079844, 671649230, 893777350, 433234593, 113262501, 447877602, 171748848, 786528553, 508517418, 206849124, 179607539, 873787404, 693804552, 133527269, 338498122, 648352384, 221852846, 53147155, 5039473, 518172082, 635210705, 450156488, 352542533, 58309066, 889341414, 339804847, 182104577, 986048056, 629396229, 88241540, 718131849, 680926054, 693248975, 960145606, 798684739, 689611077, 965278245, 606817738, 117064123, 135766461, 739869133, 26272425, 969218639, 51685576, 354166142, 21620455, 708455293, 579972830, 639037404, 545179844, 462306787, 41017015, 406597850, 957222892, 253527972, 646198619, 41776694, 931089216, 723025614, 126360990, 990637099, 423774546, 806233157, 804855073, 646341675, 504251829, 95978726, 92082401, 496686842, 402813376, 605453412, 562835197, 445997342, 675575871, 930738057, 659512908, 335853945, 264393594, 756491177, 623396826, 75463716, 804288438, 671546524, 515932979, 608570615, 175913080, 699535464, 873197485, 1235886, 754748928, 845619208, 7775689, 445300472, 950025231, 587977959, 121783002, 613480763, 563448530, 189533576, 774780941, 299658518, 415321340, 112042900, 405626181, 770359242, 230060980, 923793704, 511067252, 13926320, 753401249, 377714922, 106315129, 864640114, 32467658, 67145493, 942321434, 361682231, 471271200, 569440122, 481037197, 360152106, 962520811, 608334954, 254612331, 494273414, 494904107, 143927285, 294939700, 946235820, 473960484, 596130772, 675431275, 944655743, 108281304, 824777687, 199959754, 242834399, 688765874, 35889707, 678971377, 930501862, 645887731, 306404364, 120102038, 570107199, 221754217, 392551873, 837739481, 195447329, 669499174, 498493729, 127058810, 171270982, 693350777, 24750477, 621501128, 779020574, 137961706, 596481080, 505225841, 649416601, 330705626, 819330571, 100316246, 648884869, 367732051, 528042454, 615861941, 940936065, 654855678, 953366975, 187481608, 13072638, 811563545, 176862973, 522491762, 495515206, 549662553, 231145375, 36782719, 413277187, 444180605, 756986446, 203515708, 356450660, 222154044, 853252026, 529607447, 867300249, 732549380, 219730350, 718870401, 112120688, 770606473, 102332607, 962369809, 882034564, 651617852, 561265444, 268446713, 939250007, 969624108, 64451741, 952377938, 883373895, 132371322, 139707884, 641203269, 32987856, 984267863, 695377651, 57723811, 737422362, 430204648, 720248917, 964235271, 999265669, 565793202, 161475336, 872470203, 385556983, 640201530, 104663033, 718964960, 786588872, 940797799, 529448619, 163018069, 524103470, 376880209, 640251054, 97835934, 228739014, 548098012, 899736858, 339149079, 614779366, 947639599, 470642489, 417249951, 316961151, 414333711, 258341310, 360088804, 675046147, 470679507, 285802352, 57614758, 452835053, 525322379, 970191599, 89808854, 571026504, 456714222, 419922046, 592018774, 615747648, 695435219, 230282942, 282777475, 736393158, 19027186, 500857806, 328180103, 410335868, 421517559, 188003876, 848931266, 833227144, 329088548, 213052606, 373398306, 69897169, 517252605, 87024929, 719786334, 246381133, 564818808, 443340473, 952030767, 677881411, 28073688, 313720006, 258070858, 419197606, 678884472, 517474104, 441104056, 25877018, 998969973, 429423301, 58293248, 893615921, 831187574, 396327903, 69762474, 275664475, 331044192, 586204871, 106698065, 247457562, 661032380, 101932883, 447005962, 830147110, 269798384, 140963714, 577736926, 678331403, 12262090, 7718308, 382537070, 861072232, 433366443, 918335824, 598268800, 194624175, 815428099, 466058727, 931830544, 618703552, 810220066, 347643021, 478508217, 72972744, 538683457, 998761021, 657416269, 940321975, 469048308, 633557531, 858683477, 985474306, 510053092, 794978431, 836488913, 896719885, 23804625, 30806693, 157532818, 624146655, 476398805, 387193175, 244376833, 87650656, 888101216, 172038950, 852567177, 756587007, 905863962, 555013874, 328667493, 961773176, 321150165, 788629383, 700998117, 651260224, 965802674, 734859467, 79853966, 113427845, 608384883, 810082674, 219112661, 212980418, 124213121, 537871681, 888487471, 367407161, 330543173, 180677716, 495153276, 974566420, 961653137, 656949846, 251304735, 576177486, 749967326, 941263585, 28263370, 548196683, 189813118, 710001157, 164411129, 393696462, 834633907, 666732441, 260179634, 539904565, 189832686, 383401181, 487000708, 672805381, 207548254, 404084050, 604070349, 338899226, 833731952, 920558768, 436405367, 560084907, 879184661, 93690221, 599280644, 345063158, 611733895, 353608516, 792441748, 444101403, 537979629, 658345857, 838773947, 779864149, 834201101, 479653095, 691457214, 718337264, 491274972, 402520551, 104392337, 926884884, 395517545, 254933075, 727980238, 882106090, 347186957, 20608694, 280345993, 599682670, 287347521, 39854710, 684024577, 532733710, 940891925, 988151524, 63414860, 969363141, 732575580, 417204027, 381302365, 700029604, 703415918, 268410373, 224500928, 615496156, 200194768, 681646882, 755638019, 266681525, 802501579, 656022656, 415591448, 507732230, 943287867, 411045609, 286299838, 388388295, 501861736, 794699105, 450466659, 436375043, 425439174, 290704808, 429067527, 427946670, 664867137, 352539309, 458320186, 78714192, 447366161, 212681025, 588285688, 566049567, 245592497, 587298081, 662326130, 666706699, 702381884, 7592924, 138896928, 155057636, 776656461, 422402262, 57603399, 329846427, 818530855, 871148075, 877979407, 736669122, 170979261, 170583394, 933231858, 468321787, 22126824, 620955654, 462989135, 331827527, 781195440, 843241523, 553955086, 54608876, 595706087, 718793510, 73604859, 260899739, 821072403, 570358702, 683195371, 593278089, 12886136, 895685746, 369237408, 874556913, 597268509, 565632490, 373084816, 972892219, 284084779, 994471530, 951892323, 436655083, 184869456, 39590983, 950471416, 797947180, 792950891, 212173316, 972900026, 737709144, 20777465, 997520116, 627332892, 932808769, 678303614, 435019578, 726829720, 511500938, 514525836, 876805157, 914501926, 607581263, 127851827, 96501445, 610427742, 419727390, 750061395, 90478656, 494842949, 54431076, 858662555, 497395645, 493028117, 971284183, 716106554, 670509587, 289901395, 415463207, 126539911, 957463568, 353605623, 315642204, 374457039, 564502927, 518000656, 988345288, 931138660, 615697628, 749355521, 279016208, 121491804, 163872656, 350425773, 559543267, 839261249, 647395242, 954222185, 234723840, 650277200, 93871672, 187940418, 967206552, 449319428, 939717694, 538549072, 154602092, 672585063, 101605166, 556530089, 588194428, 560428735, 600059376, 505614677, 168977539, 725249056, 714022029, 619514652, 644722743, 385679800, 941790760, 811608986, 30901675, 677095131, 804262519, 424357828, 935482699, 499716783, 980412699, 519211457, 368290666, 950202144, 414258732, 620167270, 139456889, 594305651, 68112144, 900793613, 399183537, 375581465, 139077972, 706786733, 848676550, 568605333, 408921619, 833324418, 205158209, 958888669, 408778556, 674522081, 61404557, 66659955, 517119318, 220798575, 342410124, 942997198, 759359747, 453888785, 320436683, 747554144, 382103145, 868163749, 973141939, 456013886, 729708382, 554392993, 457645263, 668634903, 919073463, 461790106, 650462250, 189437569, 399436263, 502082567, 312593647, 225035721, 445911753, 135961367, 964992135, 839364616, 247428634, 776675884, 513764682, 294642958, 487608878, 59504588, 67829667, 268968665, 45154894, 875783464, 256848320, 197476740, 541799467, 578759351, 976674707, 965996471, 445125700, 314892022, 744787113, 410607235, 431423448, 122290488, 174230020, 490760509, 637890779, 38927948, 695445304, 659280339, 530814257, 520837155, 907755971, 188952565, 519565801, 568939429, 191522571, 729691675, 568079039, 18309712, 390048160, 33812139, 402634569, 167523322, 567199770, 830809055, 387882589, 743010101, 321667970, 223747632, 679685016, 740856529, 59848359, 7257301, 542869034, 536679854, 426876851, 974413622, 22802000, 76123639, 34253152, 357708838, 349233243, 130171244, 760365664, 715677036, 390826466, 485464569, 525268882, 692813758, 360974898, 441696132, 312207247, 486391436, 142114675, 658280508, 255704059, 423616460, 378383307, 295668321, 869418639, 4211304, 606455055, 396895987, 652902194, 248201178, 846175223, 307592875, 68689032, 109471583, 41585253, 618173530, 546610551, 650690402, 150713403, 62711242, 93682846, 919898919, 344382756, 548160845, 110202710, 302120498, 283762195, 607701279, 865483098, 429102743, 568890983, 158120607, 600070360, 996796751, 159666361, 919967250, 561799388, 652453184, 612136378, 577092472, 459147191, 460170206, 659757661, 681030567, 462976811, 597146215, 577999915, 149602264, 296550530, 595153335, 97753311, 762648008, 64087671, 436222693, 721013187, 632404607, 208527341, 276913648, 360289251, 510781128, 573748346, 209506769, 930171893, 103390511, 188577258, 993927050, 216961923, 456135489, 632370952, 163221303, 503172850, 93975624, 765584731, 761562242, 395870350, 556408824, 55181124, 499209900, 125463160, 54483587, 89983194, 432647433, 767068348, 670638831, 705597153, 299888368, 386170405, 833224111, 480277528, 730782444, 314599378, 664059384, 527695050, 596832188, 523719703, 540159396, 1827734, 343512877, 254059191, 790714859, 942919423, 241081502, 454132448, 435159111, 260902280, 81595491, 505694945, 67928147, 161318028, 341233204, 296806228, 449654063, 142664840, 110315501, 589804701, 244296235, 622667903, 970962840, 260284849, 486218971, 944837002, 813999962, 201469049, 217350655, 721812625, 349634930, 111528599, 904476691, 816155149, 89509770, 145160943, 816696022, 442672587, 518645662, 203758762, 683434830, 956774160, 251508525, 830837216, 313419712, 461464370, 606169250, 494435991, 147924710, 376345341, 655256284, 713194796, 103538203, 80962776, 592023070, 99817335, 302987006, 616607483, 381302266, 934511029, 972636400, 272903324, 720910635, 520213821, 458861488, 580680884, 693688209, 545322626, 754172978, 276489538, 107591087, 715137357, 470049812, 412495976, 429126691, 206087088, 760835382, 574016449, 25154295, 703303469, 420760337, 711166091, 78551339, 211201451, 919221365, 683716679, 495720350, 1489083, 127919248, 952559782, 574913105, 273767648, 452974357, 696803150, 735544443, 923605964, 230624645, 813323993, 432565911, 842651514, 328096372, 523034825, 824755677, 785888138, 992427019, 892400498, 185449677, 573940349, 80317066, 952652231, 372062501, 88712961, 925226644, 824178547, 806069142, 414696501, 972060445, 976047469, 1943241, 593948567, 85854949, 462510807, 733794811, 607882411, 199497035, 901089382, 103566478, 73423526, 353359450, 886510312, 29515623, 361454114, 335907138, 396664089, 604304169, 54193487, 843279880, 645213498, 709910955, 960077256, 237269686, 308053328, 85251357, 740726676, 130252148, 757630859, 62008964, 55622821, 840787843, 488855194, 323934134, 178437086, 755596706, 237579770, 781989734, 638405408, 28492153, 472071443, 768863297, 449197703, 829056366, 863630980, 685269673, 259472907, 578217443, 374532904, 54812020, 853338604, 257338514, 536893066, 561111444, 398153109, 188686358, 908746998, 19858409, 468950810, 337260851, 658829005, 47955174, 363073945, 942761098, 337828130, 830877831, 341319081, 645052767, 558254104, 475432900, 92897661, 736869237, 507115861, 453705290, 8103596, 621297911, 334949886, 89549364, 650068336, 166926536, 396620762, 944055544, 106128975, 328200689, 921640660, 187842384, 278523528, 667931202, 63316543, 798805414, 389246196, 759456462, 781862651, 203427557, 885312024, 507420363, 32435899, 650902630, 543212033, 284326977, 549382037, 401649743, 635488515, 240279670, 20532210, 745401998, 279452968, 604112438, 192010168, 410976398, 943355094, 606705879, 954451853, 309924074, 118242178, 823057346, 450193989, 142904542, 460650256, 560564885, 442891012, 376969095, 20287140, 648722379, 278707732, 117209374, 217559502, 34597079, 180732673, 75341315, 547706254, 432291901, 949467342, 594796136, 413284488, 189241423, 188041627, 804874822, 461851486, 494088151, 994394766, 23577820, 424181067, 624368325, 280815689, 923757504, 954440881, 437115018, 368355517, 438623365, 945607041, 664015520, 268251864, 10039328, 926018893, 949941948, 636774300, 882698447, 29903935, 11749110, 482921479, 5994153, 92419280, 675433980, 187967030, 522871804, 6560600, 485538232, 717934999, 47512681, 600134529, 364154985, 929961983, 210039990, 992389496, 886652754, 585469472, 708340350, 147692530, 728252743, 780881376, 778996304, 344614999, 862656006, 290273929, 61527365, 240402157, 697029112, 874941917, 69732831, 509932152, 122032276, 453943424, 753323179, 357816985, 237566569, 806822296, 176346524, 889628870, 451920125, 436797016, 47009747, 827783438, 164301943, 378855140, 773982429, 403317048, 978777250, 856975997, 102381675, 263681982, 105431600, 392945628, 191147829, 410959457, 352639845, 693127258, 604552840, 290493741, 12938023, 782099757, 526194415, 843390096, 476798929, 645265394, 925964622, 34878746, 591501842, 71703717, 976619772, 204761005, 103732350, 751236564, 926802506, 37288273, 869522497, 766248350, 774142686, 676229664, 857674426, 76521517, 208235942, 507355293, 586553827, 685828354, 108575516, 299057852, 155157682, 768522426, 134774150, 346709638, 516474602, 632160355, 343374737, 891607539, 750737100, 792015439, 765772907, 265010066, 67069619, 105548256, 411777512, 322754819, 288439374, 287714508, 366796672, 101070776, 157038394, 9844160, 844144089, 378993199, 949904936, 898475096, 59730013, 454628782, 813987969, 218487630, 123332815, 548131200, 313119730, 678002330, 528647702, 42190126, 921956980, 484396219, 105696027, 312080216, 364652758, 126930845, 70688533, 429593213, 942127361, 28026149, 988803528, 149540358, 72352263, 198331891, 966030806, 318514174, 653683902, 408013344, 319763927, 272980332, 436859647, 660404189, 454092514, 576029198, 23454836, 333841160, 410890535, 108841435, 106097731, 560779128, 744997752, 49190282, 21862704, 12296944, 315295697, 318529598, 862140561, 19730801, 871831935, 97818175, 280342881, 826474825, 631737687, 188181695, 916889024, 323960931, 116278491, 411763512, 945593964, 75620691, 253743109, 356901230, 74491, 461054191, 676224826, 899985858, 845906432, 416058238, 515440476, 395773905, 798359484, 250794975, 642980335, 211944980, 595445056, 84146634, 65105911, 476238921, 661894951, 398878288, 196789467, 471907544, 304816424, 95596574, 634376441, 182169178, 703562960, 511957000, 687358401, 629465076, 515072607, 308883369, 388190008, 62450068, 67879479, 739189054, 281683990, 381182432, 224503331, 87094570, 338271053, 166002021, 575824828, 710383364, 363830087, 317693526, 763695560, 444389091, 579977050, 621292506, 292171269, 292036142, 576908307, 583158825, 355141763, 26569236, 900368538, 424912772, 297803740, 401465098, 692951565, 675614906, 487572644, 628278290, 245504108, 777142957, 132725311, 108269053, 217465599, 269412591, 468720599, 599053337, 54776237, 483125667, 450537345, 983301403, 214983269, 480505186, 365836245, 539034751, 246994365, 178130738, 880124086, 71621815, 176828227, 106982176, 414203362, 780390979, 521956409, 920724803, 596177494, 490056152, 958227187, 261272311, 285649190, 300332085, 441304985, 240464391, 533649392, 164238207, 502114127, 331594292, 298934149, 947669621, 36751468, 232522956, 741957135, 238678731, 835647820, 512663447, 622029974, 991843804, 536217485, 352734832, 838182897, 215689599, 486477496, 287584769, 714126903, 370223203, 619271833, 590834869, 462693107, 955149778, 910383191, 239414719, 372593387, 554289349, 407608616, 831634986, 597245795, 201235601, 827562794, 622103496, 322527681, 835031358, 131615771, 512222838, 604527335, 705351655, 813184053, 82116070, 663014810, 364896329, 550609700, 687126791, 238474644, 287184742, 323887654, 634876308, 467773750, 562857153, 198099198, 167047672, 491333821, 460577234, 770241682, 704386002, 587002638, 452318744, 326462931, 444057587, 975586497, 385201391, 481913313, 132476205, 569399784, 347397156, 119448826, 496990273, 944347738, 932211089, 331708225, 713392877, 759466099, 258212480, 301576651, 915298979, 257119860, 763561276, 809372108, 665090309, 149701804, 594211649, 325639206, 298523674, 520986936, 814054495, 97740115, 856838477, 255841214, 897575341, 850972062, 121307254, 48812244, 701609591, 621161859, 872845322, 135688387, 175200093, 630484481, 120429717, 405822240, 818492399, 333561585, 620603847, 770001654, 247363681, 839816985, 853031016, 630698442, 218699840, 948490508, 890784741, 340850183, 811334721, 370837256, 875285081, 346867064, 759138882, 44896094, 860240021, 996786680, 203095330, 663479406, 55627309, 679023496, 813841007, 801648280, 853477103, 109264626, 45529671, 831357322, 674888319, 688589802, 278490369, 90713271, 521838323, 563946099, 638454800, 274324920, 471110778, 720349522, 891361376, 58837066, 126968899, 132779449, 372878697, 550212995, 768271789, 388388921, 490611293, 520729888, 714010503, 425367677, 980499590, 53682826, 495814758, 420209720, 425398878, 637592680, 802478359, 74146929, 59204571, 687020073, 600045690, 915772320, 104776854, 767876472, 261305102, 173080802, 889442235, 700394821, 913551944, 163358995, 356012385, 20836437, 889116796, 675684916, 669545631, 873234091, 43643591, 510913886, 896915606, 670586605, 613337861, 274447604, 810969909, 839071190, 842027954, 348907324, 88169643, 95965620, 389162190, 365294233, 353038016, 937646503, 256765092, 629695370, 63027373, 781300611, 359253006, 933728524, 582093218, 863710005, 466720740, 913645571, 73393635, 768988105, 382849926, 422095214, 657963948, 97538044, 692109490, 220102113, 835937404, 797274440, 329842730, 133698736, 400147858, 26257416, 259742917, 62181145, 904229089, 388469144, 519008913, 215499732, 866810355, 121597512, 369821025, 941069709, 218655641, 160226328, 409153117, 336544517, 101259216, 489175794, 300287376, 992784245, 749164341, 2445580, 89046366, 388248785, 66474015, 346576524, 227382280, 63271439, 727220011, 744583940, 108069042, 31350640, 790439316, 823055234, 929789968, 387337050, 751556105, 145534419, 519287566, 352444842, 330076346, 840679099, 593565633, 736330035, 24958015, 976674700, 893633365, 317059470, 533037162, 894170894, 927997023, 754581161, 991362642, 364472771, 208485181, 322378908, 361671838, 173979241, 81552606, 209426265, 834925895, 556019333, 198221426, 170669184, 384994908, 80428378, 704881807, 3593661, 6573334, 144754552, 114947552, 461728654, 451694388, 964977072, 238226403, 585543415, 472709928, 195004430, 107335633, 1506421, 189522516, 192666685, 297647017, 530803825, 936143496, 796374115, 33331044, 877735110, 373495429, 256780854, 666405337, 266424732, 642194561, 218778538, 933301884, 560458711, 862667019, 641270826, 597489802, 825055454, 310991037, 886716246, 801331300, 819686132, 377716810, 538967083, 721233431, 540443917, 736405181, 108878961, 614085225, 609650688, 793930364, 750643081, 964600424, 58043472, 475618636, 216180544, 561389226, 899874894, 890924761, 390586212, 115841647, 444324272, 968327932, 897277973, 306121267, 757235260, 981547317, 984408976, 933568848, 782478810, 503705698, 227520156, 366931172, 802643943, 586174083, 268766476, 278658148, 37789721, 855010202, 864026513, 780859044, 890812990, 368123493, 771935899, 623584376, 625916325, 624700824, 386228782, 114220512, 507684639, 340450878, 297399858, 45731979, 786502574, 346322754, 345148341, 977686173, 381465141, 960637916, 452569653, 404815054, 971199706, 231132982, 319193096, 341019585, 435491198, 52940167, 890561479, 134154826, 729804631, 174736103, 155227399, 143146097, 388636857, 323059754, 367354052, 329389346, 222308289, 366840704, 775083788, 881243409, 718043524, 602841187, 282168672, 996385689, 646079310, 227344377, 71242692, 46212885, 838422408, 428386912, 664362693, 100226579, 544958506, 824252857, 19555337, 197705844, 3370325, 20915689, 620549380, 955517319, 369067648, 158922429, 787727323, 693109087, 906417445, 442401453, 118666206, 212861101, 699529174, 693802742, 775385644, 153536184, 309748861, 205434461, 572291399, 358580593, 255183429, 345737914, 615682211, 860712112, 165165201, 674424704, 878020737, 32346616, 33146329, 389321732, 547301754, 614722937, 636962093, 296216623, 936539595, 487557205, 148332466, 113187609, 192088392, 701326689, 668156251, 473199433, 110849130, 493153163, 651492432, 486136285, 584213745, 983857765, 102083034, 179594138, 639270791, 533560064, 52237668, 617203425, 942172480, 948509668, 207264349, 980993235, 882855042, 331402061, 325265725, 943263833, 138095142, 790230557, 460522616, 332759364, 215231904, 696654532, 895661065, 485737571, 768338443, 143834007, 78369031, 715480182, 693304751, 352750107, 497185408, 2523751, 942447795, 300229745, 366247638, 979614797, 457280837, 963792885, 691321472, 743819903, 543788388, 582935739, 491631260, 722900042, 560189706, 364130304, 434732407, 60869560, 240234989, 327131400, 431354404, 584870517, 426661355, 341572312, 496353025, 256219850, 179538208, 903373229, 262869646, 243539230, 45745999, 215034504, 219065284, 325162518, 145914071, 756078132, 15082699, 249267847, 724457743, 131756655, 709646699, 719684624, 448066462, 174534914, 237294283, 748572127, 732240040, 760127555, 152306910, 590786293, 354965083, 704223824, 656864509, 200374705, 2383527, 452395401, 611883578, 702291743, 28505247, 660251665, 581619957, 492688829, 714298256, 689841673, 260247621, 905630266, 654225147, 543682463, 420906249, 216940023, 295195823, 972740617, 56721378, 824712797, 819681621, 978746224, 770375314, 951445894, 883044334, 740303190, 123859735, 658396848, 306381452, 793349926, 242463072, 942836885, 801427657, 148508709, 554498083, 553057726, 397332994, 125026222, 392847144, 175666647, 654252491, 342320257, 577296451, 885432146, 107299371, 551511668, 984317166, 530511670, 462401524, 428062502, 883017289, 882702968, 254456105, 205997673, 842550803, 883475577, 51583597, 257508423, 169601296, 400333457, 551645008, 192117576, 84841898, 99631549, 33596512, 224702761, 811524188, 667180317, 146653430, 508120889, 206559501, 69242418, 627241156, 487344554, 330354300, 742646173, 229226978, 966146983, 341149966, 579037588, 968431926, 924871227, 969773792, 655567459, 833370721, 481360755, 187527263, 938923514, 859136319, 341243051, 323888544, 328098446, 485872718, 143493190, 127354097, 558364639, 940054105, 245522026, 312419188, 535690438, 604357574, 603202724, 238375522, 451369855, 551622989, 777113536, 353551108, 148824621, 897163892, 787118567, 835224753, 868124404, 978863311, 318984169, 516507005, 786243998, 756725958, 519329520, 382069550, 726336105, 673036944, 314855287, 809979333, 857615322, 497763965, 632086525, 506845477, 429090790, 939618221, 340583166, 530479476, 422177190, 51846929, 133174439, 999396899, 280030502, 832076716, 123684871, 930810433, 401218833, 216824866, 161760394, 322801574, 413989659, 399632867, 405322007, 274936556, 415787731, 178403620, 589775356, 290509818, 1601168, 144754912, 143545673, 373928266, 368590723, 878872932, 97010082, 600303422, 705718608, 902996225, 790289993, 87617603, 624692735, 825189477, 715272771, 556408060, 401207721, 337386383, 916549505, 563513543, 79951149, 552089828, 815068660, 130738413, 11673128, 386126425, 933528386, 58175310, 964007685, 892528561, 564738022, 674705551, 438209291, 178102526, 615044425, 556943805, 812673853, 807368096, 284142562, 886263918, 130311560, 15890729, 944567519, 222452928, 216414152, 466215237, 142021951, 16708020, 563449197, 651349363, 247087142, 664239003, 154194589, 364609849, 371122379, 170254603, 634904674, 749839009, 182497156, 126840791, 888781594, 364322195, 970994422, 801257174, 633513663, 809688600, 241600422, 164467942, 305190218, 470914282, 34861712, 217859685, 911379349, 669307726, 654280506, 687427573, 86894855, 827724312, 505143355, 876224905, 184027147, 472225952, 942661575, 759292581, 211679644, 262274951, 779460004, 509335415, 222788471, 890122298, 2485663, 457665923, 943755770, 302538453, 840242731, 816058606, 761123380, 999309343, 883258988, 126298867, 732641819, 263165112, 963564214, 68520911, 345626042, 896294063, 700530502, 24099753, 994019818, 181983119, 202853918, 341250889, 538910168, 931148305, 511343367, 292780224, 918370088, 114772976, 901218520, 427136681, 447266585, 141521387, 934492809, 164704934, 113228195, 864807970, 575177924, 55857009, 237638244, 352920568, 272892643, 448511894, 947639874, 473477295, 980573371, 832876567, 334488506, 180502246, 2667579, 926665041, 493853260, 908430489, 767168278, 496559748, 232989943, 266544120, 749282697, 690366929, 937139268, 233068594, 831929174, 736739566, 727045468, 965773062, 371713766, 661706358, 979640337, 607841724, 612573592, 337131509, 122530384, 346218166, 252738386, 402912045, 650099766, 589424664, 81672649, 342581915, 368197438, 583738839, 50024709, 824583477, 915916573, 279240560, 790247458, 148060909, 919816496, 216976280, 177696024, 673713296, 623364768, 252499773, 308706932, 734633216, 683751755, 329116579, 576084207, 307699920, 718036261, 207495697, 718824263, 467510407, 604823437, 560787959, 237520535, 200288283, 972596876, 76041606, 404206687, 388291571, 758236157, 475568166, 475269504, 703208960, 213125488, 304925875, 502024460, 233120100, 930681011, 260235569, 534784773, 459685507, 351343802, 552396959, 753404014, 217165295, 929798959, 320628615, 795057070, 707534466, 138166761, 899116919, 418097506, 330595338, 839062347, 298487868, 175306744, 165776804, 57775889, 629015561, 838168884, 764475714, 860993265, 305178868, 75508475, 872411436, 819931085, 266973893, 793306073, 401603803, 777150241, 536363636, 139947850, 922371896, 752902245, 102256873, 907289116, 290881460, 113101821, 400500599, 894313620, 911494699, 239336965, 944458417, 512154529, 886405457, 160329315, 730082805, 85485640, 99262117, 611245911, 704135901, 434894127, 849356200, 831961923, 375123350, 259481359, 523297796, 669473132, 142420477, 776309401, 523684234, 706139880, 472202510, 689611632, 959583568, 976517997, 904880718, 68276919, 964232683, 652509757, 86329083, 439739195, 253834810, 539377712, 221754327, 619743674, 805569353, 622923257, 332163490, 207568608, 501753456, 54831042, 168242744, 253588700, 356703694, 706830327, 60964459, 256051364, 444735418, 443350605, 778741678, 480965483, 448239926, 825414080, 361418670, 778509057, 766004579, 949666109, 180237364, 720493277, 889353474, 609610535, 643973157, 299202854, 841892295, 923691777, 256096429, 174952113, 37460992, 579635160, 930008193, 674772619, 223516959, 229232679, 877028463, 934688075, 36673116, 695967154, 701633702, 642075008, 930139426, 566911508, 789317256, 846376915, 516290108, 306063274, 169921887, 28663614, 94398885, 66035640, 455852177, 959317061, 575941490, 715419348, 913017952, 297555982, 318473550, 459066456, 570968712, 681546928, 112548413, 838295220, 847734635, 964279083, 553568080, 387997512, 373410940, 562825422, 132025854, 537333869, 903874802, 529750167, 821765812, 135162531, 810993747, 629049966, 932315768, 759525251, 276365297, 206587206, 421837164, 923536030, 364735029, 383830653, 706426910, 597353050, 912534172, 408520016, 241381474, 241959948, 536939940, 58809499, 819547366, 57143611, 768468372, 815771249, 624232541, 227518437, 241975940, 588806495, 140319253, 513104836, 800619733, 184823257, 592576364, 323451691, 595372536, 45330000, 299675436, 405134548, 579137606, 475131579, 416297046, 766734725, 287540872, 636347073, 930603949, 822285694, 920249163, 254442680, 958829309, 601831420, 870720724, 87291397, 742381866, 2228039, 353775504, 419403740, 614699305, 575177325, 858031502, 390153394, 667231167, 567415415, 229643799, 456195978, 728795127, 108203092, 820895212, 224531809, 382719967, 713011118, 821354012, 506570790, 334414589, 578416645, 251787310, 38547919, 370034031, 288451980, 191857427, 272695304, 703941354, 790194270, 221349815, 105621231, 820066783, 243458598, 244395440, 310989609, 909875910, 815092113, 898862982, 241159448, 1296261, 452049123, 149478599, 343661398, 248083261, 633418014, 553161072, 664630466, 97610452, 965474329, 946391479, 203230743, 205961880, 232915649, 734262918, 423821462, 133643776, 747079142, 303219204, 806389553, 246554436, 44527246, 247570725, 383841522, 851527552, 340236384, 292862879, 769897558, 103663194, 763486975, 739692368, 401500295, 795508782, 109523558, 61633284, 434619539, 438516970, 992915766, 388568812, 267489593, 130757655, 186140258, 286667871, 952323471, 752237878, 935848017, 878307741, 109018889, 601394567, 563482529, 571999777, 322626077, 390909376, 846096402, 600190399, 735143653, 196835312, 233498935, 437596815, 178633224, 484556384, 144762194, 590861648, 46661593, 361771628, 602207099, 203561652, 150419743, 130284977, 564834683, 810698675, 476041763, 13636022, 355284560, 710289813, 536185256, 899216126, 609060768, 68988526, 497756395, 562852365, 947561840, 434860180, 748728941, 256552555, 476843760, 576388339, 79097457, 286291504, 943030870, 185050331, 225573288, 74761609, 934719307, 897073749, 496878800, 367622760, 884236366, 328496395, 919260032, 584022119, 469228965, 318167713, 181561505, 662284707, 429180824, 300203570, 771659821, 724977173, 787883979, 301894567, 585785234, 881804964, 274799149, 331230395, 307487166, 302843983, 846587780, 44447204, 202469318, 36206237, 511684632, 277516549, 307472079, 939080385, 225766701, 849930939, 311384788, 472394583, 527915803, 832195220, 200077877, 796096062, 516491784, 708719819, 342934450, 812498928, 526206335, 389347399, 148204903, 15454129, 984873711, 428957646, 512757933, 269747731, 606281997, 313802008, 855946928, 513112949, 683315728, 539858367, 91354308, 879165180, 340090554, 43228532, 708742219, 911530212, 149971695, 988428945, 131583109, 735401458, 365829087, 211828031, 421143619, 601238749, 476819781, 335582459, 671069547, 768184350, 989155159, 805870337, 388145753, 807171417, 642895230, 419971784, 167123588, 819677966, 111163060, 352757236, 858616860, 786441520, 563078389, 835716764, 876846931, 177740995, 328312724, 258150732, 999457331, 381137206, 773002559, 930941119, 33331064, 571808822, 860224325, 5169680, 44572311, 428506129, 715544445, 95366896, 760678428, 914902051, 822799281, 51839294, 270529588, 606751816, 358002938, 994201837, 661340921, 29504257, 82806294, 786556737, 687179247, 71880628, 860013534, 590758571, 478196158, 889139433, 607486470, 673083735, 792292981, 210148629, 871020208, 296988135, 233098230, 463974030, 202080817, 643689123, 681727633, 141195606, 249765139, 711030920, 417679139, 745849483, 492218423, 220908611, 613301584, 368211950, 314933825, 871266213, 968142539, 332040435, 334231192, 921237534, 378894771, 664142716, 229317303, 697854093, 774119586, 148802767, 382102830, 366670070, 789535873, 534122571, 309711560, 94011939, 589926549, 188834194, 115535191, 711162082, 555925720, 7002979, 204269970, 393755795, 83598919, 889087085, 231054541, 616367603, 332172663, 846354361, 762904132, 483978370, 388053245, 349375464, 120420667, 965019387, 992698407, 608212998, 123029673, 646705046, 700986443, 140089200, 608882686, 828866257, 839379649, 157327266, 652885627, 195294517, 720232077, 708097578, 835011664, 714642895, 774567496, 789382768, 691386834, 118687277, 875135935, 71172363, 894427614, 567968557, 652801945, 779084789, 757904635, 650130426, 923491064, 685599842, 569616529, 892586384, 941009696, 597647632, 224218049, 771556670, 840143713, 568434477, 427421857, 834610506, 109965859, 488724535, 527432403, 991424658, 466773105, 328668150, 243222109, 719929839, 304734422, 173288498, 984566971, 522176431, 466762075, 395098292, 593833827, 98854392, 276443183, 507344064, 675117556, 149691642, 37771841, 474639929, 220141075, 602080023, 457835165, 546781840, 674934648, 661852974, 75086349, 468540557, 965844612, 775126601, 771689260, 429699114, 371626800, 370841970, 525603562, 322408121, 690021656, 926277651, 792721379, 16272622, 35485842, 210387990, 898597928, 108645744, 2122338, 411426190, 82592546, 245267840, 315012850, 229946792, 35764774, 273148739, 814845359, 711749648, 175399244, 696448135, 341232351, 576764631, 473822515, 970752050, 335225912, 737781582, 382496644, 7594891, 705643247, 650504436, 253528048, 614337705, 143988244, 375320933, 776355647, 34118973, 409615468, 290052317, 747616370, 991319298, 77343623, 492351330, 889219555, 571052103, 264197346, 247410103, 653749837, 517908997, 644968678, 259191940, 779786323, 116813849, 645593174, 747223943, 669162150, 743898321, 373779841, 5589128, 485343360, 955151562, 19124982, 913191265, 959180333, 941395844, 57177975, 247733200, 348242644, 932809486, 220801027, 314342817, 849078913, 689837274, 828320817, 812512107, 935871982, 491117533, 705969573, 883338164, 191921328, 431054839, 955886323, 610036057, 733194257, 165461689, 636722801, 332074028, 465750804, 468435845, 281400399, 282961663, 746820271, 630074460, 917511048, 764910893, 421072816, 300235348, 552676462, 309288173, 699634446, 590918152, 684936405, 967946280, 967174568, 512619680, 99143832, 509732001, 183734492, 495372619, 691135819, 648986742, 531741064, 464867561, 714753942, 197139021, 535870931, 614757446, 869709312, 870406399, 67617404, 9532461, 665321242, 727950511, 416493618, 987460764, 267632368, 911455087, 676717286, 321418732, 11414781, 326943209, 721435123, 635384222, 349346928, 963909163, 60519145, 916205082, 370407446, 466782439, 574824633, 926709069, 740768506, 113442229, 7099927, 84276494, 840923872, 172624922, 191484246, 933722128, 592540553, 628852234, 354826023, 23853996, 489562495, 870293185, 57272384, 216692016, 496486622, 151222573, 56892477, 69034191, 541218678, 772923674, 887714933, 996255454, 489434690, 753229808, 153655952, 359026852, 372931952, 995642003, 462555795, 573333976, 97599821, 833230391, 155796415, 880422019, 498213570, 623747778, 10257600, 393879633, 133079599, 236923018, 16209432, 967195347, 884797525, 265378276, 873268277, 663377583, 491378097, 300579224, 550160857, 469099337, 83868101, 748082505, 49856278, 565885323, 290601848, 756941219, 576053152, 38689647, 753409730, 845067880, 737596433, 737716690, 326247243, 30917059, 663643978, 800967165, 655075700, 379185499, 396183545, 17045327, 443155730, 290198922, 174686966, 558767936, 100406785, 147259422, 778019993, 277061718, 226951249, 26011274, 15131696, 535899174, 195883282, 975962472, 784007110, 92945434, 523330577, 966222974, 611528047, 16453396, 162138411, 124157487, 304154289, 909044262, 856171425, 337183716, 98122241, 863543840, 531080568, 541100194, 246561842, 277479130, 135229144, 878675223, 189501363, 292224679, 54657174, 242082221, 922715502, 681909321, 409630571, 392113409, 402072938, 599517801, 943374964, 501999289, 272167844, 417319790, 165328261, 300527810, 844672458, 216509946, 141248846, 151663122, 150795969, 400378226, 204280555, 987794009, 56750015, 521960578, 664746724, 506197840, 613830596, 393932286, 440269670, 70201417, 160493840, 996595899, 275357254, 351930528, 486991418, 945286016, 549429112, 412112715, 555782806, 162316099, 296837100, 206012207, 25357440, 481480845, 151977343, 357652412, 248345190, 533804092, 722314689, 176960096, 982616939, 275331478, 797803913, 13590981, 104029170, 436774925, 589004145, 316468010, 461980739, 170244783, 981474134, 716620545, 277327619, 603363148, 355457043, 663178978, 981669626, 477396845, 241670793, 532933152, 574585592, 131785969, 311376382, 603434083, 481091976, 192072288, 99957937, 169751692, 712626952, 129418392, 307211730, 910058086, 845955868, 385565675, 46699667, 864248098, 551437871, 197447398, 966503550, 217043248, 413667088, 895134918, 656726631, 957185869, 951787169, 143911377, 905649549, 978293390, 238054220, 924931296, 594201964, 716282060, 77895784, 725070524, 159931695, 628579595, 469318889, 455314685, 12780779, 652005745, 831500225, 716871523, 568703431, 341115995, 612982744, 317635473, 480886618, 881743556, 987465115, 299557621, 166997973, 497051603, 517146577, 337993194, 263795916, 220726857, 954944514, 727356457, 160869937, 742894002, 484894289, 873105749, 264300683, 470101030, 828410616, 649834954, 131310764, 708815372, 340464412, 284525032, 948060390, 718750297, 608238287, 819121332, 690457673, 442092316, 311572830, 889430496, 605093391, 150639231, 458908945, 77062919, 160065624, 538556792, 425544731, 883991837, 497783498, 255807027, 311584357, 501770813, 269053359, 970462178, 726903766, 775357828, 36082331, 325059679, 182992512, 255348018, 696651389, 617717502, 346072263, 720856940, 562149168, 197332779, 402881934, 114039203, 678561105, 955531152, 846893828, 111671648, 833589533, 275772851, 561794370, 302337714, 75522716, 652442405, 759656840, 670438152, 875738200, 717154166, 88492204, 360820963, 731214487, 826149847, 60136248, 492581032, 48401069, 582886153, 746082421, 628459051, 301513073, 964931427, 943822349, 881602448, 471077261, 899039051, 537271100, 125285514, 364863463, 304738885, 810734949, 217525536, 622262443, 298060722, 255484731, 77270943, 903089531, 369231310, 76156529, 740081942, 414904814, 780670037, 347410204, 590085941, 111809332, 163678961, 762224814, 456650521, 512545263, 248460257, 924684394, 135093636, 305759105, 792431560, 297965023, 73160054, 60953215, 356429391, 838476535, 769244685, 819076971, 355140181, 989750865, 60697465, 238913001, 171875699, 715041701, 129116169, 914905188, 444205677, 538507012, 894534372, 726501558, 746750356, 463645596, 447093311, 955572002, 303904900, 820498411, 614198317, 299601807, 672475985, 178329893, 386898082, 507951567, 90565613, 408052189, 206031063, 735769477, 512330187, 658469434, 988204162, 360136538, 857806660, 8455218, 725382235, 423369085, 174745676, 391247427, 659798470, 481576274, 721609002, 696155145, 134764146, 543546156, 981562542, 112395501, 949402400, 675883947, 309908241, 212495333, 347638318, 441209541, 429208245, 810701423, 905161622, 338946563, 285410195, 177610725, 349822007, 384801457, 71583996, 679740398, 992348606, 624275578, 970495818, 202958244, 549899989, 355193618, 891539908, 380565576, 485567079, 786777132, 175571018, 350228502, 186642900, 670911587, 623604626, 35961283, 197941849, 444438724, 651175756, 365739718, 853779461, 15479468, 343423745, 408758931, 270847298, 115704228, 441298396, 856469504, 711561693, 754271585, 23230733, 603922514, 790928213, 172902891, 790489409, 288302827, 496632360, 127693902, 139212275, 856095775, 578240697, 830556423, 211371312, 216137333, 574601624, 643039625, 47447139, 451853615, 526473527, 324910681, 833191106, 940216557, 256952189, 438936023, 118832893, 866666735, 692895981, 202717367, 838461080, 793432999, 333566924, 142056040, 500648794, 394128810, 683669364, 625600654, 116238339, 250517781, 182900485, 427175538, 684114567, 54652850, 517991841, 208053068, 321004655, 869524981, 503126253, 15557551, 986350531, 172638625, 462310546, 692730350, 830874415, 538007466, 467568665, 688214734, 35635582, 910572150, 551848542, 737790899, 314129203, 848213256, 795562662, 890237924, 144281277, 959918406, 326788360, 516676508, 127183260, 129295268, 14861176, 849229381, 278317776, 588361935, 739228600, 458668599, 921049505, 89684662, 305769415, 952522839, 174783528, 108113333, 200231713, 752854707, 875611991, 562106566, 884732125, 84445640, 773011082, 311306365, 285960302, 243351270, 444429032, 612119425, 605613360, 148132650, 727859972, 775426506, 218757739, 965869805, 186283139, 265651912, 552284647, 531621238, 308091299, 285858091, 496561622, 356903067, 105598590, 834172098, 337784026, 184429501, 103680041, 260411022, 866912870, 268222471, 882691939, 885800129, 216761758, 720517285, 471827117, 503656485, 379784579, 193611947, 230617499, 393598069, 147872704, 47832212, 795154177, 334416484, 812608691, 880233927, 318271661, 389366914, 825446723, 846128679, 786364948, 146390401, 359052760, 658841513, 188786748, 193229739, 317841406, 397940755, 779133883, 433548372, 63169169, 68198992, 347732960, 895531743, 340262530, 883829645, 577687667, 809082901, 974856984, 147195649, 211503847, 964963305, 326018069, 666639000, 731789399, 402456596, 136500214, 866543620, 509551470, 382859698, 420308931, 65053306, 860155374, 587342532, 141352738, 85276281, 364810473, 943359649, 903331516, 664664903, 72762453, 233735741, 621234292, 889690254, 761570973, 351172749, 983178971, 687758375, 761151584, 197501459, 809638294, 326961600, 920557209, 292709367, 89133171, 857600178, 57601131, 846460825, 51023366, 655520080, 922782738, 399704722, 617942162, 960947717, 429122176, 97534186, 186054681, 343987988, 705646722, 309696483, 235932081, 493382332, 726182976, 318921176, 354494666, 738291736, 888761660, 697356338, 584807198, 266813260, 975682510, 866908729, 240093246, 859579902, 419350290, 723804590, 248681241, 815836032, 510995374, 531738829, 7294828, 708931767, 471288353, 275554581, 618558978, 816952183, 187278273, 749390099, 703631527, 604621831, 429506151, 154142891, 302263749, 611545796, 846996636, 43594794, 801839565, 921413438, 525828007, 122589475, 176277933, 903890452, 799404702, 308100551, 150631897, 305282410, 810160102, 19465048, 395391701, 311613343, 648529542, 629343567, 718329806, 559516352, 357111461, 274287963, 8396295, 725989407, 327415991, 190099864, 105927111, 377603136, 450288513, 133656877, 500766126, 851238139, 884020449, 325151013, 743169062, 902497773, 652079030, 668378518, 368995896, 386607899, 691214199, 346704290, 647945835, 161377006, 924157048, 474027284, 96591334, 459468867, 319762330, 829990219, 582794329, 720027533, 542448290, 712524913, 317718028, 409626144, 566929994, 154869526, 762725987, 114903451, 34519031, 230779239, 273692280, 500305727, 245412385, 946397573, 52926862, 178810396, 626767046, 179518163, 23796736, 111524030, 400570064, 179070689, 543990876, 844081156, 274898140, 973996279, 701255714, 277361320, 287179620, 782401892, 646999208, 110750671, 495036513, 537220560, 508259917, 70677560, 256037934, 159185267, 568087093, 885847818, 696253671, 304208261, 822676334, 317873669, 940468425, 994816474, 684051003, 67601297, 401219950, 261683736, 245892788, 782852866, 171908151, 951625960, 45067575, 174071999, 553856152, 524671144, 579325786, 76781989, 198115961, 754188767, 516706797, 433475716, 757620603, 121182807, 214891664, 783574129, 848486995, 776850156, 552864948, 702330954, 559557619, 349584080, 232934983, 604905862, 908307233, 357069126, 439021576, 785155835, 464802891, 947499991, 935236956, 921709856, 557576206, 459424110, 874578471, 538500711, 404985096, 961299571, 662645529, 187108129, 707013682, 564861756, 139054917, 254934715, 108146740, 332654662, 618218064, 326797180, 446502064, 635943360, 242264112, 624446528, 419804928, 657372576, 496590563, 487422112, 520487459, 65002759, 954926411, 420739264, 4629750, 307770915, 76050249, 178083942, 613797993, 905776840, 595481503, 403495519, 537391643, 196618850, 555136813, 623974333, 788305609, 156975859, 496600549, 696842923, 212423308, 186174568, 455889854, 824159707, 877694475, 87778188, 592755245, 325440794, 700036990, 34435983, 100302179, 445082027, 763969412, 647203902, 900999318, 780639300, 605114802, 679171390, 735548210, 732261499, 161093461, 686410673, 413103646, 728683711, 536976503, 381454765, 565448107, 718075155, 778796721, 637835073, 800609433, 452390068, 761330317, 312139148, 888760704, 678280849, 308320574, 49932207, 483223159, 588307426, 893664014, 517592341, 530807511, 285954986, 468545089, 689707523, 800292117, 772152244, 7990946, 891084183, 129210434, 951134505, 819426818, 500608988, 955321609, 514431922, 463864482, 629546791, 181577976, 271996530, 535077051, 229462337, 478501101, 345534216, 465204493, 583777110, 717878463, 292950875, 244663870, 768202612, 39017386, 321258634, 318946714, 180481276, 895538835, 397071999, 667920254, 411635159, 875946097, 747823292, 261573979, 323812523, 301870962, 556806316, 261836318, 208149186, 370451018, 319893586, 869934944, 481834746, 584462390, 425569080, 222748252, 198928317, 285395565, 229135683, 507914373, 351151814, 855402136, 691906968, 426792279, 384295637, 815344288, 299476620, 621787210, 72688715, 573638719, 118159492, 813317062, 994846028, 4518752, 798829121, 765741657, 16192504, 602114207, 216799126, 958166645, 31378869, 959813391, 38799008, 555998006, 497116372, 27872651, 800158934, 667857678, 982254864, 635789645, 168248783, 417541716, 121571114, 124069427, 436448702, 714468125, 695824381, 238411132, 362919883, 845521108, 642908282, 369896308, 795794078, 600607153, 170322601, 37316977, 499898838, 926569982, 990917842, 469875189, 104152639, 99860091, 279168211, 935503027, 368338079, 330131944, 475639669, 948780662, 847346418, 579235732, 124880009, 530392900, 795897982, 768824022, 954123240, 462406279, 924424797, 271196728, 503132798, 112346724, 118022598, 203211167, 307096610, 570181950, 614159128, 867605898, 410742420, 314167217, 361318670, 899673072, 398413446, 822289399, 225042271, 111860077, 898337153, 39966731, 945479122, 660408043, 845059975, 143399043, 806008074, 413451096, 414416193, 882411200, 16467106, 790011171, 226695776, 725643439, 40797494, 150773881, 983952594, 604341536, 730296585, 462680154, 251211854, 290187860, 799818218, 906571088, 254653050, 675372550, 22801816, 126530220, 14992927, 112264564, 197089011, 172244655, 614451555, 768365014, 910822113, 992760204, 129105921, 430226591, 897497459, 931249745, 396653738, 422624723, 984091384, 987436359, 341613038, 580252753, 783511148, 757908942, 978700651, 927146214, 584752419, 673605257, 657736746, 324743661, 976406808, 359282989, 427280636, 179512188, 909630560, 754288656, 188828236, 606197728, 758084015, 663095475, 934501590, 927520701, 900522789, 330291429, 503860088, 399510835, 307728662, 173252641, 190927166, 533564841, 701766501, 844110625, 148396215, 861656275, 661961990, 64951157, 991494201, 233129004, 193781672, 968119667, 875042747, 617016784, 480017654, 478798824, 141272492, 745543379, 69825142, 415018371, 381816417, 368776100, 159288793, 888985412, 25290786, 209986561, 574212323, 959608734, 995090267, 818328775, 673706716, 658366558, 758679706, 458933821, 461397169, 972451593, 761393454, 916773126, 220517251, 225025006, 283461914, 555531728, 809655698, 508845674, 429550590, 427426595, 945744151, 593790337, 188549867, 476709000, 51051831, 798837119, 572177077, 925240360, 335418319, 131390798, 99192267, 758080151, 207985688, 563466124, 131095658, 342935963, 978176437, 470369552, 299131973, 801073091, 776822740, 456306989, 628620799, 820493540, 787041232, 6243147, 234409988, 950735830, 628679782, 469878802, 72828184, 641006927, 145431804, 602398804, 998999125, 458603689, 337191743, 208454223, 425335525, 486375173, 989392470, 528634601, 194727811, 448152245, 946919045, 757048922, 521692152, 338281894, 892459725, 424895829, 333941973, 473741293, 247440605, 40670577, 692498579, 18670188, 653396756, 423016873, 801403100, 956227446, 636510628, 768939005, 278377353, 716953529, 191407110, 91905230, 172073469, 347664546, 272555482, 753808787, 451551423, 832087710, 443615580, 520424033, 776052281, 607462583, 724575925, 317633901, 812609719, 2123362, 27338353, 536282733, 556556246, 793860415, 71892544, 408921483, 490926112, 290977205, 139922581, 942851221, 485979213, 425565270, 498526273, 477252590, 735288530, 320511031, 643534400, 948761843, 6062060, 338082334, 253569001, 69953406, 746691762, 155047173, 633969955, 867499129, 75974374, 664091355, 343328002, 829788132, 127356930, 945528225, 930054458, 189130372, 69641007, 633813815, 372877113, 422463142, 159493494, 662290207, 582961340, 259523895, 265534659, 947062497, 39193004, 169607885, 798633839, 572503040, 59268612, 83391474, 879046339, 214542828, 501727947, 59607806, 840194374, 793431503, 507318085, 536940569, 615228298, 813658951, 711058619, 678188919, 996405125, 537014986, 864962841, 865219172, 926127086, 351716147, 5532763, 599119923, 104044892, 863462685, 59128067, 650009465, 469558120, 730585965, 826619064, 125531271, 508194600, 629206389, 93682068, 929897225, 503854469, 694922612, 723810797, 504102898, 457409913, 875128004, 886435398, 994570782, 547788137, 544245401, 792116850, 934845653, 224117300, 409765727, 232696031, 970537147, 885716035, 257918310, 21766258, 440238376, 585103, 175180772, 961001575, 217336654, 750104600, 663067202, 593124946, 702360918, 205878464, 675604149, 624848659, 37621198, 353523419, 44604915, 414411983, 822466911, 284229964, 693200442, 201085636, 66652553, 678600220, 857513784, 265681564, 2634919, 830262353, 419942391, 518243928, 973816995, 508762293, 915895590, 955592045, 647055065, 397133921, 18404091, 318704917, 234618765, 414279541, 338562826, 172562464, 751637284, 404663270, 411900230, 697542074, 500432460, 446304358, 843049679, 127682874, 688213872, 718669293, 573669660, 139164543, 940154519, 711262562, 359787702, 281862412, 171028332, 513025326, 680936782, 5840703, 540144934, 205943106, 875660770, 966797941, 140616484, 363784210, 692978019, 746911363, 973865916, 21801190, 437893652, 171042937, 304330193, 120141866, 312031003, 604213879, 186753555, 443861318, 260166074, 878561332, 378505876, 545709446, 526078568, 542512918, 764011468, 740588089, 127430507, 748464746, 128475758, 628497294, 567766730, 763651187, 520372201, 918350055, 122606408, 996516682, 343718057, 243224024, 530779607, 816268678, 155627972, 469029077, 590312590, 955278863, 464546808, 750730596, 981183498, 372919482, 178917821, 983361403, 669249557, 530656676, 542347487, 300382153, 640703376, 862693477, 915807583, 754319238, 667931297, 277695713, 567509215, 304775440, 156804645, 748620999, 96842103, 395624317, 877820303, 352429059, 963328853, 596971381, 334477253, 542714249, 149069517, 18922218, 725596522, 195552591, 77586151, 574212434, 487673267, 400189355, 602993115, 42068555, 333323319, 724609620, 92001005, 849146586, 912888814, 117718205, 418477790, 916351977, 860568965, 989748234, 588527144, 762189401, 662701463, 395672053, 301918579, 566820522, 148782127, 72278525, 330759668, 846810129, 842230373, 97869517, 593999050, 761648581, 94611834, 747092268, 369346441, 367912108, 329416244, 247606616, 616608785, 325832252, 349374731, 991740801, 842111329, 662880403, 623283953, 92052232, 27096275, 727899619, 173471258, 42210095, 393821421, 437672781, 975131583, 170427152, 126579046, 974766557, 846276687, 776250462, 577975466, 86805397, 147274409, 661951435, 920700474, 185920969, 881524519, 232349359, 32094884, 629279004, 724170033, 321859424, 561341086, 832264344, 941690320, 884457614, 215014820, 48778200, 38317258, 430264388, 247498361, 660811849, 731699823, 468608115, 122680988, 996623292, 448138703, 921259446, 170588224, 426518798, 740754664, 146092905, 774532843, 999598186, 228862194, 728701430, 709041649, 451448124, 12673110, 398077222, 10145558, 574000842, 307962802, 164633735, 674594144, 737643842, 483477931, 89231851, 419530854, 945206210, 810942446, 227845366, 279357143, 85522573, 672232296, 273864431, 582784037, 458572422, 230471286, 842313932, 492004802, 84349535, 688251683, 75533206, 221111379, 392875447, 960730521, 904367201, 31061810, 163296581, 950873878, 725153848, 34762116, 671222165, 421995968, 849169075, 618703, 186087838, 20310161, 922578010, 566849685, 706955468, 502341830, 423849812, 117956418, 812811910, 977188191, 490623796, 896035879, 953758371, 20300728, 492115445, 143626011, 523202449, 501639598, 780326204, 657805533, 136989631, 68057135, 709013701, 497984592, 291850040, 874372123, 758688953, 421531785, 932379707, 139446219, 734803972, 968566756, 556417757, 5463962, 46411771, 341517340, 989855559, 399889963, 12508339, 455826521, 95298546, 345834111, 595281212, 334367367, 863876879, 991293576, 879939102, 976284344, 327078879, 641312125, 302125856, 634283529, 687025996, 577241716, 686084243, 408475343, 883194009, 457590867, 712527060, 776312645, 371182687, 655550945, 904302794, 848856568, 177566205, 452421150, 792891423, 502564371, 12889411, 672824632, 536746953, 948121097, 456829368, 63791442, 288392371, 965655874, 289551684, 807489352, 638193304, 833786542, 88939464, 499826737, 382636595, 267970667, 728557945, 387542058, 251870225, 366082874, 364439185, 609281689, 995299790, 879469353, 750492966, 851180596, 800537934, 438221990, 702619853, 769710889, 543253597, 481424686, 904952991, 397822114, 654196327, 609656351, 618809948, 92345007, 996960062, 430542233, 274110731, 443261276, 78953965, 521766202, 449397073, 908735073, 150108952, 884455242, 678736953, 47316804, 372658521, 431370285, 362278592, 426954851, 216869521, 404442097, 467814045, 591484208, 758169339, 745515792, 545531735, 409355490, 547694681, 363879947, 857024914, 839823687, 577714911, 602666929, 789701545, 662097372, 590304211, 488943070, 782049498, 930522465, 528568704, 591409651, 374185178, 854180997, 896823216, 262625983, 468893523, 303729596, 559170176, 490341118, 163740787, 372403262, 793491979, 139993592, 918225282, 756453821, 815732063, 909032269, 25113064, 891333392, 159127127, 1166393, 840245859, 414020533, 872426908, 141314563, 599041324, 180593413, 550974040, 136434290, 347624591, 865955613, 576917179, 694539698, 767459286, 630089274, 840961655, 467525953, 311803922, 641187733, 894988761, 981966925, 692981462, 528350338, 511788360, 686673388, 496634318, 772298426, 956085350, 235110236, 927824853, 313660530, 545523335, 369114990, 747756670, 189413897, 449317398, 573911904, 279377462, 473420217, 643309154, 414783725, 164413347, 766472341, 375564352, 3070629, 783875228, 409896611, 620724521, 717720069, 105232794, 152674724, 497805196, 524588767, 464225067, 970217473, 27051937, 829336033, 530677974, 77942200, 200871418, 918048605, 116441112, 842100203, 682209119, 796679807, 551970413, 292813998, 496884177, 228168826, 9002, 383761188, 513332114, 913591088, 356842389, 455309386, 887256484, 148048177, 184943520, 141366146, 761916048, 721320700, 461241056, 243950689, 627919217, 496343154, 444789023, 445794174, 311082572, 730964663, 577240561, 557284531, 347120217, 572751935, 4921833, 550731064, 221923920, 496648484, 87553845, 385255773, 356147595, 272202509, 780854366, 618502161, 39069566, 448268177, 829110970, 812097036, 753466775, 109630295, 798328618, 303059905, 239205094, 284656879, 249367507, 608231062, 195847211, 781017573, 253165658, 364562267, 623126018, 895615591, 487970847, 697707141, 170265960, 885068400, 893254717, 559726357, 1625722, 191849768, 86403235, 944948865, 711287377, 509372874, 185075115, 263250385, 754380540, 744979383, 48338350, 477748441, 74163673, 554244567, 744001177, 491204009, 499167714, 275080218, 42811197, 127401543, 291964823, 435802911, 185924818, 851621651, 731399711, 90274020, 51651798, 942737439, 681779844, 500067834, 997289118, 808878014, 720550440, 407688098, 90088994, 239063903, 872579987, 349566142, 658303479, 966234619, 597640461, 543582196, 465551875, 339429028, 976633173, 939276382, 803128839, 363687141, 302126418, 215903652, 523858361, 456141849, 462360439, 270365611, 902323608, 445521165, 149947423, 487001555, 685945721, 806614383, 145709319, 736237874, 23114099, 271897495, 190128443, 727457086, 555390860, 121482675, 533558919, 952750520, 469122751, 934969770, 491308568, 705394374, 892220170, 108141040, 294173749, 901700058, 871271319, 824412339, 337978955, 24394837, 753634970, 152819050, 845039934, 807180174, 323303595, 504170844, 543650945, 270297895, 193028536, 372658885, 195277657, 205676421, 458111431, 771677452, 577712004, 49159036, 460373024, 719279543, 798868864, 146605061, 822525096, 14472305, 822619403, 563945019, 346501367, 601868326, 553246801, 639400837, 640347548, 442234200, 466561620, 150968772, 955125415, 622490706, 676473055, 303332390, 293535747, 933557448, 599965471, 211034719, 75069761, 699038114, 832590975, 452150111, 853147935, 992377657, 700993901, 307082110, 544751495, 716508988, 419366757, 682063811, 371970282, 175535122, 874395662, 17655787, 832206554, 78031515, 964041370, 142723098, 699620165, 544828487, 486760567, 893112412, 225584953, 284461527, 522313086, 615269937, 20352993, 998736261, 856470927, 64219025, 732735432, 642080958, 640073139, 317465248, 221688300, 469219361, 957972089, 85933514, 309735718, 911102816, 919907858, 115070615, 31178058, 809167645, 361874744, 716383781, 480809679, 386923615, 702025629, 167320151, 310824358, 996494116, 383543104, 546923513, 266944815, 290868920, 517845663, 479200236, 401992149, 110210030, 552607676, 416810290, 722059195, 787209513, 454211899, 319759993, 674575966, 25092225, 87974530, 655701461, 593224292, 258675015, 209081994, 894771806, 87051924, 290039463, 507171741, 352715725, 159428593, 186398754, 495212279, 779470533, 300707805, 234460664, 727204214, 130037421, 882959932, 758321565, 630000930, 826034847, 100529471, 629418312, 572432275, 440918324, 539272300, 331939506, 501178961, 745971046, 942123480, 747654398, 252648179, 902643569, 308451146, 961635599, 117343205, 337324300, 259762997, 772600192, 153682409, 880015690, 893690754, 95232546, 266759478, 176918940, 246275248, 658271850, 186293453, 705672649, 263683978, 626051807, 467188187, 755849838, 902633748, 284720267, 119406929, 589176202, 565836626, 169210125, 914694063, 27087277, 904342663, 896243485, 392325398, 869953005, 540760968, 783881365, 862921147, 683359121, 962570141, 993364908, 536976461, 218326330, 557688875, 748497088, 743017227, 49996398, 990968603, 182370275, 594366378, 331019805, 428954271, 981533720, 998669756, 324620898, 422336972, 257057593, 205141622, 823122865, 956147916, 560168918, 473936456, 904993326, 488784121, 301860067, 625218397, 962960254, 72667017, 494867512, 643134705, 908909256, 843385977, 376213047, 820918674, 155902114, 340807960, 113102222, 523850777, 920655438, 574264621, 721748374, 716844176, 457106805, 549174571, 586595665, 260751247, 99869410, 64967688, 170386860, 945605958, 2915646, 738266814, 496235126, 660365807, 797254075, 247375808, 83189665, 515785932, 742330380, 854999632, 931217773, 106218651, 51171932, 79122323, 34616279, 778602816, 38340453, 848723342, 907765499, 426598038, 818669292, 437852841, 641524398, 618285238, 382443397, 509513851, 447373631, 85109722, 213516420, 287187410, 771249058, 656683894, 552769153, 411178129, 170283963, 236503713, 811999692, 293138810, 848704297, 571967652, 225851700, 789302443, 278377369, 55089922, 524984109, 427848608, 490227808, 128866594, 769035968, 930770487, 257675443, 298729820, 350534085, 295903782, 117467621, 873468370, 900277207, 357735603, 672529134, 918404338, 67333850, 911697447, 837324141, 32987125, 477107079, 872857954, 728787683, 602294721, 241923443, 852271160, 279305574, 61326840, 811129267, 246988302, 92847434, 407860813, 283304568, 113096657, 359089795, 896667524, 50395879, 120164435, 785671334, 720469839, 29754442, 750142462, 118461623, 221555599, 51579543, 553279296, 864881889, 857743765, 811495702, 115036409, 721050568, 632058297, 248472613, 248313994, 556099364, 675399271, 733738264, 650146153, 823912111, 544669965, 78239247, 94364951, 888401524, 123996681, 558421372, 604797640, 795804512, 454745770, 87281718, 713762860, 128151714, 307660553, 761349882, 686412703, 25200201, 57527945, 66281162, 127406537, 164259536, 407793240, 805317675, 874195984, 599920498, 230744498, 150849751, 46962750, 785895519, 223072980, 502484905, 871896324, 25570927, 90644733, 550595474, 331869624, 362997251, 626292815, 796979405, 253724420, 175250430, 236373374, 939118812, 783385614, 617935164, 345998203, 675008799, 879167502, 207307221, 341267643, 474317959, 484214276, 677276874, 214765600, 162189579, 666508096, 288176750, 951645052, 248768513, 290891530, 912639250, 117183593, 964139787, 330721584, 107568697, 79586558, 177305256, 492490449, 82667534, 879083243, 235588250, 348038932, 109488160, 676706706, 377998612, 564634646, 567730182, 239885339, 642627798, 866781427, 452001806, 416563953, 123510513, 212551691, 382351088, 842106733, 551745212, 177421195, 555406372, 798234763, 663878793, 620921762, 795864421, 880032894, 44381369, 19975347, 121616413, 758251504, 172223215, 389952527, 409879132, 887986114, 505659008, 721058070, 42418411, 736869077, 755403688, 970632666, 906530692, 398649991, 39768877, 21591863, 314430225, 950596894, 584739521, 293754949, 566589556, 863419433, 98086370, 410910778, 674511838, 557950069, 153171618, 451214835, 946172638, 483605291, 941441799, 830668948, 381506259, 550538814, 934551268, 95435329, 344808081, 14397811, 631152940, 281594650, 761716086, 617646974, 474524945, 131168378, 418869157, 804522082, 548804490, 59483564, 696576852, 288068411, 827821, 340371111, 103482864, 652972291, 211771275, 828376763, 284256111, 270964189, 173489491, 956489270, 481662032, 579351483, 26499681, 749038880, 734188304, 551072551, 923958103, 487405309, 598958747, 313354043, 442854807, 348805306, 408244560, 940915858, 557713163, 735365586, 802402329, 693450653, 435181457, 192256430, 243158623, 923696962, 539951334, 751580904, 879217608, 148859772, 928162926, 348487723, 453346500, 265954316, 153692291, 586855476, 873795937, 315595392, 683110827, 150406926, 68609308, 859989796, 36062431, 118016838, 516267916, 751436649, 531973380, 708293748, 862623012, 687119256, 299060494, 665064111, 449743174, 384920207, 210687345, 279685575, 632824075, 981323839, 736849445, 929213759, 931124089, 627625020, 504334589, 663535492, 332513200, 90241144, 348938537, 936694387, 469595529, 589409476, 611533102, 177047815, 259418737, 206915403, 788703518, 237631503, 328527492, 332886237, 208258966, 475568666, 367149003, 47280511, 745508534, 395204189, 301858471, 74941891, 609374951, 640516019, 804974838, 944011773, 977949257, 867863831, 662435172, 25002908, 984433969, 651171458, 680042261, 308491114, 792304972, 877840026, 212163272, 624573832, 225444674, 736834575, 297592630, 163249895, 866801280, 673600643, 668149643, 730097564, 870604351, 23028511, 326701115, 801693710, 620185204, 598629248, 510299550, 773077218, 292294698, 825415848, 42952968, 464518246, 221993879, 845045871, 864108824, 917410073, 890221131, 376969467, 587603135, 548146119, 492748216, 227484187, 925724008, 264203574, 119367923, 409642187, 920034397, 224044508, 75103657, 528504116, 263007961, 244760518, 31060442, 602872839, 101544490, 220737007, 534642351, 507584900, 545711974, 951619010, 450732023, 736293985, 497186547, 693795481, 388597647, 541993474, 593172412, 424481725, 986986960, 813723136, 317811654, 390089347, 424312192, 18389420, 414751865, 247872031, 472378444, 30106405, 819092800, 877672426, 271152285, 244873466, 193675075, 39504709, 93020264, 784813255, 184003574, 99171110, 871377247, 97535070, 197769064, 182091377, 255486331, 911247066, 604820161, 794209216, 566617041, 267105416, 632208258, 742913615, 500593146, 923435524, 344462488, 231510265, 927884456, 318340821, 929581859, 911201998, 101374620, 816488781, 665631462, 807052637, 514143740, 252741212, 305621260, 123191259, 593027293, 256806244, 978128865, 450506218, 217473858, 148133862, 857385816, 80227371, 333614925, 237986514, 66555395, 718029246, 929257101, 960731843, 195024002, 78777010, 27156837, 263930958, 795576591, 152669485, 889684631, 244638891, 882639335, 735806932, 11033883, 965668168, 664779084, 663144957, 939821228, 774831927, 195862315, 134770606, 386001729, 520388848, 432356118, 845307934, 45372364, 951010539, 883740350, 372678819, 664683921, 521944839, 391306128, 495706584, 122410736, 644112771, 352965300, 530056459, 895717333, 30398820, 873301074, 38023842, 142393430, 343086050, 616339272, 571334809, 289408906, 715675417, 448462735, 835320769, 600065195, 575101960, 42833064, 686249313, 779688248, 538476535, 904065507, 392193762, 147147345, 432617469, 166349766, 182705766, 250858257, 299181802, 959034232, 829440998, 758451243, 871743259, 10849845, 452580721, 61893308, 314831240, 187476990, 846325599, 455236546, 900354678, 269408184, 205083881, 430817783, 897442298, 453784565, 518856868, 992136493, 101334000, 873190966, 842794440, 400867773, 5870275, 588661789, 647339774, 198368833, 349757968, 218523480, 317276918, 747191122, 80812693, 448932261, 624440051, 555441369, 871777857, 275975199, 486710100, 184894478, 384705526, 674821004, 280145306, 380622836, 159627859, 627988039, 993095061, 291873488, 603066658, 19536019, 513529811, 366756216, 675738536, 275170660, 411885395, 783072420, 869117975, 345758753, 78848921, 391406991, 743639241, 806275253, 315789899, 555545216, 50029190, 648113469, 990213328, 824624122, 205898194, 729176262, 364827422, 125990223, 66120001, 493114454, 492924446, 976085250, 307121221, 286131962, 150916213, 857668228, 161612510, 559565295, 627754256, 523021692, 816618358, 30675506, 848101652, 892865662, 266124541, 415019035, 678471210, 382967344, 561809370, 635014401, 495741783, 395643318, 431852287, 342919530, 868841626, 78921080, 710226696, 736474807, 803945855, 498045042, 264103921, 249753894, 495180175, 818507572, 239823810, 716317451, 985980127, 823226831, 275432655, 234899543, 870663309, 291961274, 657162898, 597432744, 939756506, 172567516, 165107711, 914749612, 318224819, 821136643, 70992016, 125809735, 390877847, 827364090, 209216292, 941318369, 639694675, 104425881, 968045102, 31689536, 646918343, 326568365, 176738539, 192650295, 890113478, 89256854, 125684452, 443303487, 368970322, 245477783, 205143903, 74634896, 646143854, 2313269, 852169294, 999624965, 194020037, 258517926, 539669781, 611579159, 923623707, 326491279, 381823261, 244952588, 787701204, 756990093, 440642180, 26146631, 580141655, 746429499, 273932111, 309739984, 135288941, 921548395, 696019574, 923068893, 565289436, 5920449, 388136116, 171002567, 609108149, 241582811, 654088587, 716767179, 698877526, 114555046, 511440154, 345824280, 195657750, 80400500, 552373333, 585575265, 743185539, 966720440, 351599822, 563929045, 781918842, 83976513, 286092446, 410334549, 452153750, 687366019, 388848442, 623507801, 852834266, 949531581, 389347394, 783691325, 170384420, 783851466, 422966893, 742529629, 537249372, 616935711, 49807692, 713369949, 974385793, 834813126, 908231872, 350741531, 897258593, 136111780, 853347563, 185165477, 246499107, 950203405, 743912083, 455451075, 97756295, 306848189, 912915684, 708212232, 772775890, 240863921, 910278623, 444241, 405928325, 459886060, 702490861, 982653969, 935919093, 135561545, 19196304, 127255552, 435110386, 387326281, 506738300, 847324585, 628323197, 967475008, 82057568, 267379329, 563167247, 287977126, 11613202, 993563246, 228170723, 3711614, 319651328, 311041799, 461831748, 827941228, 951926315, 148951144, 59499195, 935991822, 998558186, 611420172, 142660744, 858160176, 410204174, 912614255, 244974856, 263087375, 791283669, 290751547, 290256008, 612636638, 14574967, 465706520, 35371889, 768776531, 114109610, 27023131, 198720726, 382283197, 681405322, 495233533, 504317482, 704287780, 265180206, 580582765, 138240277, 166318033, 653198184, 53161715, 523108395, 838164081, 205309029, 661017815, 186327553, 300528245, 474952187, 557111666, 412869369, 166301947, 20805975, 405056961, 984326663, 516814594, 416390658, 729392748, 830105295, 862393823, 621788606, 816913911, 105497473, 746538819, 285026806, 797661511, 385559853, 467829901, 870646227, 966371443, 767744801, 604633064, 176233498, 154321858, 618618471, 700729818, 969847607, 559688108, 6069540, 115779919, 109662183, 685458938, 215932132, 545641585, 750887340, 214319895, 388611284, 208218483, 999982131, 449627664, 232593753, 397664975, 832447820, 990271980, 959119301, 199131798, 860953254, 956574771, 25773477, 340952798, 290281031, 553615917, 544178837, 734243137, 907080184, 183151985, 484230941, 409862441, 808129224, 266806365, 126943207, 106532225, 909321473, 115804095, 144284677, 461509902, 822557857, 182311579, 601501455, 305693427, 546667162, 682103742, 985944518, 202447347, 250501979, 972550162, 595316537, 35104362, 102217869, 57015151, 782382350, 384962670, 166246264, 360333362, 360632586, 642827928, 347503719, 707600067, 428209044, 128313657, 829500081, 884739430, 165902203, 926591539, 128760563, 916743667, 682508992, 935821757, 447237097, 77623459, 718018189, 401286300, 50749631, 769777622, 819247412, 902311276, 822365049, 694569300, 143008467, 753957160, 669854591, 990520841, 358732310, 82830351, 76306150, 478470292, 614483473, 874270888, 614797745, 312998575, 986278631, 344102598, 284509359, 154158302, 686234744, 703432404, 987715323, 137777378, 31225042, 471454937, 861124055, 317804670, 301241975, 114382669, 275869364, 438941008, 345893624, 650238664, 497107673, 790491995, 103824822, 329367215, 528080265, 626811197, 622346995, 410841461, 242413217, 907946963, 533779989, 709946650, 993907011, 293454115, 708188369, 38302016, 857462812, 382189423, 422745415, 527266187, 560751020, 310123056, 266605567, 381652587, 871364642, 488871430, 389085493, 36291785, 525559348, 388277587, 31889009, 220485010, 721327090, 327012956, 651808614, 927451193, 392183692, 58607752, 23613589, 235424435, 340377563, 962293871, 931624124, 933914858, 571934780, 391841281, 995700919, 344630468, 149978509, 127372469, 276832381, 595843366, 131659518, 995121456, 471238989, 221462727, 706356188, 485105361, 645433543, 462250243, 339317158, 908569807, 663474848, 957897853, 237389024, 371842692, 704416310, 416578563, 832709593, 930066582, 51288805, 924215645, 422345248, 3068943, 106239383, 661595305, 16475489, 12921008, 408969709, 843240842, 691359896, 44046765, 187721156, 262012672, 246085476, 656443535, 588202743, 79503016, 150921774, 733834081, 265900360, 64601423, 133592104, 170405818, 985270691, 590777625, 684593968, 426813443, 575367758, 220901308, 772561085, 397897571, 384822983, 687763354, 282623928, 407409243, 15173252, 927797836, 72629927, 790025466, 637023786, 219575020, 628969976, 271645179, 682266456, 900699959, 69378091, 41681673, 339585563, 261099743, 724910607, 203374654, 64827993, 201085634, 833977908, 208990193, 351985728, 368863205, 217621627, 369282667, 540015136, 148027243, 234635117, 175968244, 701711659, 52917361, 268173190, 562401159, 47631761, 543877061, 110339088, 248356027, 979588027, 270475586, 664897175, 947840869, 641175256, 88020873, 15813981, 602014817, 490617635, 263512432, 51079302, 968580420, 155274822, 147684866, 277304896, 620888505, 304877134, 715973390, 764233623, 759539863, 366174595, 534907434, 851886977, 491226509, 286490658, 685119428, 917273914, 968581542, 778598134, 578403709, 815114056, 352762447, 824384865, 700384250, 111756178, 437965590, 117972775, 264516547, 389747933, 180598028, 443228745, 30354006, 802016089, 436494137, 825568300, 659106260, 408233127, 976477357, 456329418, 510968540, 248019834, 501351006, 162397500, 963292711, 61945607, 402886570, 214503111, 916931425, 378354174, 785008377, 568250709, 973455278, 277150506, 778158299, 999145362, 817793615, 686503534, 655364057, 375948474, 348623360, 61417618, 529282367, 235162711, 899204330, 449696083, 303446738, 925205970, 490479981, 838580420, 719897783, 17591268, 234719133, 178861737, 445342137, 904421055, 536104414, 656484906, 681037550, 227970722, 526412622, 449277937, 36085994, 439244001, 109821134, 994150499, 509872584, 119823672, 326963936, 52732917, 431748140, 321905514, 137809379, 645878746, 519534654, 897586530, 707315307, 23776677, 412800467, 475513538, 861054591, 942787348, 597970241, 134146543, 298454400, 886112739, 518850354, 152536848, 356487057, 392083231, 58215072, 408898878, 346874228, 500795789, 716379264, 79741940, 978178023, 243965288, 900635733, 382506510, 844085181, 268124695, 666886043, 548495813, 360254306, 47998703, 382850456, 554610249, 384569646, 27794740, 577279012, 550944737, 266734548, 801850761, 673172805, 326343749, 45856294, 786988732, 272126137, 349845080, 399011056, 747487824, 317072123, 405467994, 232942155, 483908011, 610576462, 258722770, 162344529, 708808867, 357302648, 823480786, 599123050, 179478503, 695854423, 647959013, 474585868, 568267149, 15797705, 851308527, 643738530, 169189291, 112365917, 825403954, 169657891, 816145596, 94223817, 998921609, 186490579, 689834965, 533798040, 736980973, 417861317, 65814282, 767603947, 129900067, 778296804, 917936420, 594094937, 400020488, 472540212, 431642718, 733861173, 587926658, 983615765, 625790395, 6405753, 852823918, 195734144, 925620283, 86933551, 916292888, 412415225, 838870777, 894847173, 781993892, 543869157, 172585867, 847897073, 194801793, 582377752, 1609793, 376446338, 802963627, 985009524, 866191905, 114843858, 568126239, 863709467, 378393874, 64604884, 519480530, 649266676, 964448947, 218955192, 3129725, 993762963, 370576823, 872937030, 627463598, 884820605, 911788997, 44147335, 965346069, 262207674, 919390586, 272444205, 367627476, 322344725, 512978915, 749085510, 881623431, 410050626, 720326991, 319039700, 672911448, 493339595, 138142653, 87582784, 931069442, 591296875, 351329834, 483860229, 308912961, 65038711, 182518278, 284098738, 362543550, 87699277, 37426830, 424173221, 122593672, 249305782, 53003257, 586454737, 745527100, 335483646, 396998387, 330533795, 176428988, 118896331, 710582452, 671489129, 57846998, 443640433, 923675813, 298171528, 831373905, 226399210, 591702844, 528903128, 757837089, 473443828, 816231013, 398391536, 316283100, 26385697, 518706341, 261783009, 159545207, 102441409, 420844610, 315642074, 123608202, 675484341, 963234415, 456268539, 495792823, 979018725, 731237640, 506657551, 566942489, 157008177, 259284106, 808091446, 168196143, 218060779, 346755943, 273790584, 864232653, 121874096, 204963873, 721436257, 541829714, 355999115, 839041842, 69002561, 871330038, 703316259, 899460867, 746880000, 443930531, 196428636, 943431923, 759496263, 969009680, 19940848, 853952590, 29075341, 853115720, 316810362, 273633078, 711380037, 842934275, 746814529, 726074735, 847695905, 123424555, 907086748, 340653784, 729397221, 887657472, 150518156, 762192886, 946263030, 468666973, 405780857, 300701116, 939723287, 683643266, 793762994, 496025935, 296850116, 821888180, 357667239, 519174949, 835465593, 535532581, 589542288, 157026342, 357063226, 799061860, 667083480, 863663799, 538760595, 153632530, 509838929, 835599105, 412745801, 828907032, 27545674, 932074494, 275087641, 439576775, 894662930, 658943279, 523329967, 209554010, 80558055, 402361577, 224600465, 710064427, 356502077, 630117178, 371652380, 861881399, 442633776, 61120851, 536485084, 158072531, 704828727, 649541888, 703986629, 802663209, 909471264, 160265643, 122035306, 260657388, 427004404, 569383247, 980222219, 345387609, 817561999, 224425902, 326373409, 520580041, 626185341, 252298501, 30205640, 112114095, 96744032, 522983605, 694971737, 58426113, 276967103, 808167946, 808975816, 583173934, 277497371, 561054644, 314912706, 520128355, 995192265, 776829028, 942182012, 709700489, 113328378, 594587973, 101463065, 61939557, 987707728, 868342533, 269225513, 974314092, 577343361, 433281548, 340354381, 906429776, 141160947, 752625782, 656674117, 153678124, 480068883, 482815544, 984388946, 487125484, 781614926, 81117549, 816622588, 101545424, 789973057, 507287449, 76983201, 149538976, 51809920, 729733734, 197213790, 637229128, 305041585, 883775641, 824513531, 289992210, 593015712, 197137827, 979680691, 892964752, 177206371, 117958025, 878750624, 21193918, 608595484, 828901742, 33210012, 434216237, 628480786, 802680611, 691861473, 777564316, 975260603, 806834058, 725357479, 993287975, 627974974, 528040199, 729207799, 572045275, 302450099, 574307121, 495256212, 792491683, 387195438, 396443654, 295858218, 777331467, 143294264, 264556938, 639097429, 445789422, 501192593, 153159498, 444967170, 548441918, 777624732, 821313259, 88891623, 987712510, 890816313, 422516989, 150105376, 444858090, 273700106, 11747370, 94212506, 594771269, 594707124, 593449384, 572518008, 353985124, 955414452, 209203546, 465723106, 977811415, 494478407, 887746154, 474175724, 563100928, 942512059, 305257230, 313027567, 461757553, 352811419, 64077880, 139593834, 847364679, 176525770, 353474902, 149647468, 870478878, 382862288, 728969408, 613611041, 779588692, 773141396, 283044674, 306179080, 484024241, 813700969, 471705700, 497562701, 342138707, 937403561, 311123652, 66724132, 800743653, 859116764, 843676270, 875944567, 194070815, 538764726, 16134459, 68528235, 633404970, 862972980, 581654685, 955440042, 552841500, 939025069, 805831243, 713654603, 347737651, 481188946, 873908689, 348351206, 301702917, 267986686, 638032508, 737345704, 534865941, 326161710, 747719877, 737018073, 310974831, 822380845, 336515966, 151026183, 780337178, 548748119, 73627987, 414028475, 224153933, 441721357, 717873814, 276147797, 258915886, 97729527, 978552536, 509893314, 31661604, 835184571, 320527343, 530483121, 14282598, 118022686, 991143762, 890671420, 502962225, 733794719, 461641918, 797547775, 568471497, 461902678, 182026684, 83896393, 603608244, 464431713, 612235636, 367330362, 405466187, 275723792, 387588722, 578833426, 612443884, 711609830, 751879212, 682083682, 718200942, 338269365, 215294920, 103703303, 923483392, 687221694, 57101337, 239673640, 466288023, 545061098, 557907021, 60651104, 617972156, 449078939, 618142282, 664355728, 730000640, 535089007, 928461272, 300591610, 580153917, 825521176, 767370846, 995345528, 435434380, 853267792, 356438840, 217498573, 207342346, 401350251, 208274496, 981597479, 445193278, 670514568, 714559726, 785763111, 428232625, 394283990, 472764255, 168878482, 195695330, 545627511, 14937665, 900556562, 382571818, 292370146, 158432772, 245833194, 708377545, 4428207, 158233769, 114327770, 453720450, 783010611, 440621064, 499086630, 944550675, 391888760, 965725635, 24650058, 527244752, 193259265, 901534771, 735623551, 536595756, 180000103, 965267056, 355270923, 877562169, 797085745, 554773855, 959752016, 373372613, 250328407, 988466485, 367775232, 603616214, 41295181, 20078679, 336621416, 77643804, 634047072, 351956613, 923168160, 73435134, 187619423, 729915251, 398368183, 562461257, 927345361, 536039882, 502664912, 178386305, 166987892, 252408222, 885986485, 5059778, 686810112, 327199735, 320242676, 824044145, 948701618, 364506608, 997665934, 155740110, 83873719, 318873339, 212811905, 236807453, 542356179, 491877932, 982822368, 278709608, 942974960, 356574063, 408965232, 457621974, 52554688, 585403049, 931366986, 669672410, 47864438, 395626722, 280342025, 459652589, 298145453, 374429329, 878160719, 489958641, 500355584, 124045034, 677048076, 215636566, 178833959, 599759748, 57626498, 592396355, 338420989, 761036761, 544914058, 290663841, 344430383, 773783267, 819738212, 348960205, 135247064, 524775977, 820092487, 432039675, 569608134, 393537843, 497366089, 64476465, 323134564, 130031605, 18462870, 676295051, 324020603, 360705468, 56791678, 413816196, 35028734, 820247737, 70753032, 512279751, 405821237, 426432029, 117987054, 882396610, 792061945, 738431152, 384529642, 471537789, 250500779, 730696194, 672789467, 786566712, 804421022, 297834570, 286541483, 609383454, 377366512, 641095078, 25602869, 678648724, 999160317, 624952790, 218895294, 832998484, 213597675, 981109014, 89664694, 422007755, 990935483, 978273942, 387380626, 252245742, 70293588, 827268635, 828408041, 876817035, 579279130, 92226746, 857311438, 132043424, 808186922, 409020236, 60170179, 156121724, 95112452, 695679443, 590592738, 864069279, 531408081, 257167651, 643892992, 340556485, 678811397, 951607611, 811538058, 23732209, 74223644, 332418840, 479067586, 898886617, 485966866, 609418612, 942861682, 811899138, 935630154, 869102143, 649608730, 308429633, 797830483, 604871566, 227469251, 266591981, 682948507, 731647422, 156485296, 910838158, 974392654, 192930099, 320837702, 136978344, 155520202, 161054255, 817091988, 368147310, 768045830, 652539036, 253927335, 100738957, 56953418, 362575098, 37700042, 658350809, 257647244, 443122291, 378365594, 566458467, 539911913, 838267214, 221787561, 490117007, 704147468, 388864643, 722072017, 395232103, 27118076, 137049222, 402631763, 88776301, 692660182, 89902633, 935865892, 444139243, 55438404, 185643914, 111614362, 295232961, 467915126, 719866986, 907053448, 394472097, 552523438, 952449051, 983340722, 643457566, 889232252, 246407159, 469955525, 49772188, 480219879, 742304669, 776488764, 538985411, 956316982, 877794038, 446132342, 713903930, 33664499, 968608997, 571494274, 363642119, 598279810, 974497150, 936227417, 528828052, 625705029, 13570105, 764478132, 451628070, 368993938, 206341221, 640848858, 869384070, 8417876, 830838851, 210555593, 413974866, 391811094, 709204222, 588628993, 861227918, 313127737, 569198441, 323785964, 301065880, 701929844, 290232744, 182205042, 28974837, 219616934, 242733682, 688121141, 751149453, 949334341, 755823040, 308710298, 128361709, 458677189, 461459692, 212761364, 35467879, 72944143, 207556157, 968622277, 669509521, 239502366, 962590003, 334207434, 784642451, 4109455, 317741316, 998141182, 661359310, 498675645, 19755168, 651130992, 225800952, 452753633, 154725218, 64920166, 338033430, 931559326, 779427466, 268795033, 410706552, 938663646, 525382061, 742541224, 303214108, 761258156, 639272546, 636105991, 732584240, 902497796, 885537942, 417833537, 5851744, 653968976, 967650457, 461498684, 174409034, 399796865, 739326519, 665329727, 493587186, 681811587, 17224243, 21223856, 708523865, 762951960, 317051640, 126552626, 174630180, 638543773, 786640932, 372267071, 953442629, 125472930, 312985014, 536765866, 934276619, 464980113, 90161528, 267167609, 186123959, 325986714, 473280829, 405384688, 2442789, 582632637, 387963461, 128287828, 32639181, 917922938, 543153830, 922558363, 67018370, 837225839, 195229937, 56238945, 255869909, 773598180, 805818231, 734585654, 472123716, 622236759, 739480571, 377296096, 293090566, 392463909, 644517261, 849931749, 924326660, 959550464, 651228013, 776663308, 664605959, 142367692, 818801260, 395824616, 139593472, 536780660, 531400903, 628984907, 539279725, 21385419, 379107316, 536894148, 604272774, 92524053, 729999567, 800819072, 881707523, 51642502, 307695359, 999260576, 798000683, 181226543, 140860022, 487392510, 72218192, 646817894, 710619467, 902150735, 103270906, 796534161, 976500066, 789009779, 230469178, 779657914, 260781576, 60398603, 856247980, 99630394, 12108748, 583079228, 764575806, 653141463, 636451587, 759367608, 322675751, 338289022, 795341712, 664784742, 401170379, 988285352, 270316285, 683673543, 729543107, 883518685, 320516478, 635851664, 395496384, 840915559, 94011541, 935137028, 830156603, 686937946, 621497798, 507318485, 925061797, 239819169, 429912602, 124842310, 802735720, 1729697, 173868093, 639056145, 689719650, 599069285, 173122950, 745560123, 449182731, 171126656, 56583022, 20365731, 523161310, 206190353, 898119337, 17475565, 439055109, 130011694, 238788848, 804209188, 920317243, 333702747, 699267056, 755972765, 402311988, 88577603, 627565459, 782366459, 267824975, 907995242, 865371324, 3129538, 335619750, 720251401, 170588951, 886033227, 699197565, 930265594, 705540429, 235994815, 243521613, 498361171, 341674566, 71211896, 191847674, 234587428, 592084407, 380137030, 448586252, 293720670, 369902633, 560196654, 913923242, 635064285, 813163793, 286705699, 141222943, 802551766, 592541466, 850138134, 23949938, 447509616, 963669331, 19860305, 965005323, 255454121, 714418737, 666048457, 691630944, 470426733, 328361249, 152909713, 278654647, 531403957, 42242495, 662451098, 285188447, 485499333, 195797838, 230814982, 901614650, 981959542, 235323892, 292632990, 963902839, 631210721, 939578841, 740805914, 714326562, 526256009, 633668377, 546748886, 929513111, 194500454, 157765335, 316138015, 532606572, 141365351, 659709709, 390784716, 430914383, 447981479, 544587698, 880511917, 17630480, 192515646, 952208638, 55129882, 254497613, 98473120, 326969117, 410371952, 573265637, 892814804, 889307814, 379916124, 166996816, 500790050, 694619558, 180865399, 327573452, 469093104, 291718830, 683801648, 764982473, 285162760, 238965693, 730012811, 136504334, 78170351, 738645973, 35721794, 531768227, 546306579, 268126822, 539063128, 368181146, 552350303, 356767658, 862822558, 236825035, 245901062, 950005620, 14272786, 200207543, 745789251, 590823229, 438748045, 899250165, 328806623, 859796185, 942471112, 176076458, 674765215, 19539085, 76532989, 521279274, 99198139, 143062465, 66948799, 839478317, 333850025, 778398179, 361047842, 372121859, 721311553, 888749003, 986162915, 510455078, 613948132, 362966672, 786569819, 729674678, 479113208, 719500671, 843560278, 842029480, 752593896, 57119722, 50734047, 784841271, 83112053, 346682949, 935680565, 41562189, 115571888, 59491888, 168662982, 654072449, 511994066, 116660306, 850692134, 679470741, 992210947, 657378163, 742672450, 278336229, 677121144, 908414218, 630648354, 968696043, 113110274, 835065915, 969456603, 28072703, 713010007, 660059669, 372795845, 251497008, 897055738, 758305605, 718445758, 543340135, 185972592, 982501156, 802656158, 700424345, 46908401, 227393848, 375444774, 310992686, 996382757, 669044641, 573386550, 896005558, 238874829, 556826250, 503158441, 730369368, 888722919, 239165838, 414191492, 803754171, 443964965, 115113672, 949019574, 236823349, 819541128, 928147781, 246055766, 741493104, 747100188, 170821001, 454988125, 757065924, 820810995, 953309630, 289371300, 984475870, 885086103, 702663197, 414942882, 589460940, 205973394, 662525664, 30437093, 394071667, 779120928, 846053967, 540181623, 469937197, 746094437, 774799598, 951774328, 440493853, 733152648, 513855226, 542253873, 494028959, 787970505, 598676294, 548897609, 78903400, 829208183, 244412972, 171023288, 420952831, 765095522, 634272689, 548952917, 646270899, 133901598, 793626108, 51793302, 29779102, 252161636, 228356130, 865244004, 826238101, 153431864, 518325333, 918119949, 888195203, 941074053, 924212342, 254961087, 796019736, 970305177, 115678514, 464344689, 487691067, 207255571, 165272427, 617465197, 415124320, 424431245, 697698512, 899733962, 3979885, 734265526, 381512308, 194822081, 296395107, 746761812, 376461751, 767196768, 900682671, 954010667, 309664387, 536650624, 109884722, 212340879, 188792233, 615078929, 141934992, 708794412, 804374719, 123947989, 701689831, 527403824, 405711996, 195292771, 121802953, 593658881, 417430339, 473481859, 760742509, 175371718, 988287313, 886190826, 900766972, 321987960, 420719472, 657248979, 554338386, 914524338, 556644170, 687575951, 762458092, 445566847, 646254269, 257840641, 179264137, 995142802, 802086362, 576229512, 482541705, 205745820, 902985362, 349822933, 27464766, 545731439, 659547241, 811574564, 632142380, 318169391, 97024412, 207961425, 603093340, 308011588, 687673887, 881287051, 733881551, 580304198, 177428038, 417609178, 741000905, 996273996, 475629284, 584732100, 98819287, 306839484, 570984312, 598579955, 660955940, 381914220, 819199284, 626093526, 534361636, 784838936, 636905183, 585492871, 131433179, 428312739, 651982950, 560710293, 783992636, 991802116, 901325956, 305805360, 251205002, 515496459, 862190542, 171474791, 304248990, 700485000, 200606709, 784869043, 541992052, 582551198, 157123878, 781731331, 388293750, 412782038, 385549998, 376228983, 551846128, 231482179, 530153971, 344277548, 793490234, 520755418, 330533344, 356678361, 215307584, 306605571, 459400413, 383441568, 964644560, 689204216, 979534710, 694883277, 965821147, 882275955, 615628262, 107916253, 391497593, 9029457, 660483627, 679689666, 32354205, 94349732, 758622883, 749286009, 325103582, 319022032, 549019161, 906720308, 575212719, 11280971, 974294009, 62535786, 270142806, 179058980, 960322226, 182612352, 261406643, 982717996, 598346227, 961288636, 920230032, 464778886, 867104876, 715286265, 364934480, 487042644, 496387487, 273612604, 203436576, 43098925, 394138281, 740504995, 608945865, 679904145, 153892287, 522703485, 482968943, 44809067, 127926427, 417952047, 899153797, 751472330, 486643482, 296376856, 941520378, 985439073, 703980778, 449600305, 603014422, 845585679, 265916130, 331490323, 270119943, 75121069, 569820853, 861745936, 663432421, 190819602, 942622055, 736977845, 499820068, 611036901, 711984913, 786180879, 350744649, 889572168, 144795605, 390878343, 277311681, 103720044, 402629173, 266116318, 447735225, 537889768, 780078962, 507263575, 194091628, 285234818, 946340962, 113301419, 637414582, 858892215, 605660492, 680113019, 621432269, 411072448, 743652931, 240039860, 981928607, 239586485, 322251677, 598177901, 325964389, 398078498, 411878298, 816377536, 879026140, 649252204, 412540602, 247076479, 894214702, 196325404, 370576798, 700774592, 489638773, 807960496, 773216246, 380095825, 918679592, 492368130, 188468508, 555527322, 458864951, 218175635, 743714974, 862842146, 429017336, 279679773, 501343645, 441986467, 903321921, 55179465, 741122043, 321524860, 39469002, 752583443, 255270804, 931082886, 167514543, 469501974, 831368157, 997857475, 691564117, 642213397, 629622913, 220837497, 610358152, 958159760, 850511113, 677662577, 879942913, 255658527, 139532984, 798420669, 924401063, 668918235, 723217074, 252383548, 6673831, 712236308, 503426254, 229867529, 545756299, 203804140, 149791956, 558286977, 798782293, 97567502, 978564211, 326091304, 363288125, 43482112, 957510168, 95679015, 564065146, 328794173, 472338718, 560282895, 618874742, 800340987, 437908685, 366652048, 563917046, 688973070, 676115523, 452810144, 321677750, 579155289, 670483367, 227916689, 637820078, 829978986, 246344704, 345223314, 914555104, 634747171, 831697677, 650456685, 891846250, 530995014, 499124977, 245264558, 307826710, 643091678, 998086563, 680964793, 547153061, 805882457, 665143592, 143530140, 632524070, 152514254, 398304176, 72650651, 273581399, 615205844, 491504052, 301936896, 301985817, 381780544, 271614315, 798823072, 482666467, 270289148, 774696900, 640068783, 373151502, 964093129, 764029570, 600791217, 327105083, 586721014, 736565627, 977060998, 646607249, 196457366, 218616532, 34967473, 412135164, 340695486, 563101252, 185073377, 976019444, 548274596, 311687507, 305768053, 540472840, 501891911, 614999659, 785907891, 483195987, 103069815, 371862288, 607342500, 289857346, 97731085, 633826744, 430635605, 669934483, 870011241, 697766946, 804605383, 834595582, 86282460, 835202211, 115832469, 222698650, 86847157, 351911942, 594236547, 875293882, 38673256, 383363764, 953522812, 124664193, 162866332, 225590596, 620962003, 928174993, 681513907, 970111983, 582061051, 979686355, 384865854, 454809486, 871481082, 193162923, 666837951, 871116344, 630373326, 897295235, 42620851, 831202886, 962032380, 192626465, 538247075, 128819974, 931570693, 88909646, 904935165, 640647603, 230229059, 614639897, 430247420, 923375597, 840057971, 333292990, 162345315, 951870967, 305684979, 896380867, 358124531, 420176211, 169581374, 865209279, 310613339, 946958266, 728397752, 533810552, 744757210, 532936875, 848678862, 578784974, 487552485, 412044578, 691678155, 415881600, 797270150, 622375844, 219902901, 504251965, 154390411, 208077071, 542408049, 429731458, 921766567, 235783823, 909923268, 353817604, 643492915, 950474199, 320153945, 472230699, 192422216, 921471720, 523841352, 504773272, 839209353, 983935429, 470137805, 137055291, 526452230, 931956992, 862505089, 140873535, 231754514, 398093753, 655554302, 738967249, 894677799, 777043008, 808513542, 436115965, 899445577, 812636492, 514049413, 449311849, 470700296, 177276212, 306649411, 714806793, 652921286, 383553817, 145324776, 480388301, 899982764, 114880376, 985398376, 393184494, 94602249, 764166191, 992088079, 937928657, 994831160, 911214364, 814915382, 149323257, 59276107, 367983490, 942730567, 225958578, 181072723, 902091773, 791276341, 43001654, 529116146, 501812291, 486072657, 655869411, 211437458, 566784889, 571082261, 691681829, 674921493, 336615848, 999615778, 985970902, 733512902, 770431106, 394183496, 782241879, 838971841, 469332774, 463673626, 576105107, 253333626, 836074580, 336213675, 23806137, 704665430, 255236481, 647811926, 705183733, 542096975, 122149066, 443680675, 821867819, 267147373, 871464469, 910586399, 263621266, 447322422, 492780857, 345296599, 738051177, 489460014, 949235438, 567741578, 748469729, 99034078, 613594474, 435295578, 613516580, 644271997, 732548457, 20548156, 817605713, 625347009, 294639829, 938691721, 420854372, 200494490, 431716587, 186354312, 402860548, 420360958, 957332725, 222795859, 317442170, 302901822, 39296985, 729493432, 831320067, 488236640, 967185818, 975529763, 601312450, 994907778, 909208557, 659924122, 522286840, 346888176, 585613906, 800544180, 81783355, 807739560, 272075584, 996924212, 999562263, 56549727, 281460756, 766076671, 320752584, 991050311, 461767360, 262124853, 447469490, 906951946, 211700529, 387753327, 720025191, 546584665, 410833694, 354503912, 486358245, 121170792, 962422074, 611749844, 249004017, 617238107, 671470407, 357809670, 818587256, 789091930, 89042670, 42348708, 901713486, 229683267, 847697958, 905677129, 823204548, 414566596, 770208465, 434680123, 689745649, 980559951, 989194916, 44482386, 10072216, 1876236, 12926208, 315972978, 896673949, 419659177, 509594898, 756756022, 481360692, 278529682, 297688650, 897251121, 877118880, 535715338, 985297603, 309943621, 450682681, 813210698, 18667641, 69407381, 531174463, 670827214, 604060516, 985797527, 678452097, 601710151, 716889037, 643429900, 244411962, 137431665, 730228911, 510592494, 673110625, 941164368, 565960456, 12041488, 945929971, 286010059, 540117814, 786727687, 279367435, 484235407, 310080102, 880947352, 108524130, 301389874, 88018721, 814233558, 793015391, 152355414, 207178444, 437907115, 535993381, 909309652, 816244140, 705983374, 146526548, 749329537, 258128717, 137471209, 32195544, 817073072, 441292564, 531219489, 921784089, 563324200, 637153828, 53554588, 956591090, 750916313, 143249087, 653996009, 781300326, 580953060, 166612221, 988245441, 333201871, 903238346, 183120945, 444264076, 355344220, 803992898, 494346377, 84031416, 414196592, 449279932, 652235740, 211450786, 111850320, 564382767, 521583718, 339558136, 4216530, 409469668, 577752902, 954672617, 569509660, 17285165, 10903163, 830077833, 638121187, 745488910, 928050827, 244078465, 877418291, 803126650, 718623475, 112744617, 500850820, 794052108, 446362045, 623542259, 150886374, 729763252, 877974434, 183060596, 940694168, 906525190, 80722024, 646611494, 856707670, 669793843, 297105856, 911539436, 968527777, 683491913, 316019825, 286471034, 455683029, 193897826, 932827636, 252854050, 435552121, 84226789, 533741047, 192481530, 50399850, 11624682, 963401273, 807187590, 552929750, 790869438, 671199226, 731477809, 159084017, 710823486, 540036907, 105336736, 800023279, 625265725, 511711973, 1102488, 649745982, 43720471, 560481743, 268798099, 23166152, 589901811, 15473993, 673286759, 989931288, 789553782, 855262265, 332277602, 875090158, 296434727, 850410259, 782959957, 996933907, 531574885, 896307326, 135233308, 220956133, 997739626, 616557782, 472127963, 624165502, 491716442, 797531014, 359705318, 567002848, 501919197, 641823953, 363921033, 426117102, 113485203, 52204937, 583042669, 175872172, 254013967, 411983187, 311366764, 38377174, 641446278, 565141599, 135119152, 896514940, 798613178, 859006414, 282578710, 600808458, 76489896, 188836570, 479043421, 162534015, 337370355, 714861939, 322142079, 455989086, 326344376, 139792322, 948960491, 485502046, 211060251, 313817110, 726571596, 691406393, 349705923, 965909385, 116583862, 902734263, 579194323, 80448990, 703994858, 675219185, 762861603, 844117929, 919573445, 733552650, 268991866, 313102387, 227471219, 908503247, 933671759, 440163456, 526625190, 474188372, 125305430, 903909878, 6649952, 713757799, 345266165, 61647477, 582907349, 831055320, 581806417, 338032190, 168333603, 738985555, 780711105, 902946188, 283667672, 157092601, 385128392, 991684410, 216086222, 251394536, 700537247, 312894834, 788263053, 676376542, 716435853, 633646839, 520748471, 931546857, 6141580, 402980246, 481961422, 525248735, 912743020, 430811796, 347561404, 614296042, 646204201, 582988885, 743517091, 134501340, 903123432, 226577528, 658702364, 163047848, 93304710, 468046644, 94627669, 854525972, 241744676, 679150782, 250859640, 12067377, 448586520, 813630714, 608134046, 795613742, 240621719, 476907678, 842226628, 812551963, 233025317, 206424133, 750112557, 939037553, 498447110, 794567927, 208445971, 152620600, 4191693, 313682925, 603313259, 139815883, 883074304, 504582331, 684912556, 568110614, 800999791, 146361373, 168838824, 712956285, 194203785, 39720313, 26582715, 430908956, 388488644, 366721780, 486258045, 415040526, 658546352, 221651997, 199572939, 601075301, 992280017, 916618535, 973436190, 99067514, 526023013, 754697881, 365902454, 129768790, 575996782, 617719632, 780571723, 868856595, 536146785, 371217388, 307163006, 793405940, 755180542, 944141438, 494840545, 589341553, 616047103, 67467537, 655609308, 712592568, 558725398, 358761422, 918260011, 840619383, 547199598, 784276270, 864059457, 645723629, 369324790, 451912972, 85497856, 205128002, 100476368, 809534303, 529790089, 680074835, 154193031, 203570645, 902722736, 185646008, 152318865, 995907602, 835014239, 348826482, 289773143, 601338395, 529258960, 184423589, 869921518, 328747025, 74772488, 713545013, 486924060, 780210602, 383887955, 113153072, 973437945, 646782502, 410843039, 264585006, 530679810, 815868544, 192608559, 838327322, 149364836, 299275137, 118009157, 166823843, 452925384, 606184611, 623542727, 801434546, 141119934, 701730570, 985329385, 727595924, 44363648, 621538446, 474672651, 318610341, 150236847, 973646155, 431586086, 299043116, 246354524, 185742668, 770040294, 367782160, 320564786, 814543874, 796019999, 918605829, 363844322, 843668554, 224597959, 662046040, 7470391, 792346682, 728393240, 210640179, 963471392, 690674632, 871392618, 681859702, 504456696, 548057026, 897243490, 943009073, 541107552, 436897666, 451776479, 648539580, 420802727, 607132608, 457352297, 892291421, 679521994, 506666830, 981051652, 854886942, 219925035, 73088205, 912609785, 449996427, 236959748, 925877036, 753578714, 445128538, 460518651, 397081320, 933250661, 818512958, 223136239, 530836886, 137699630, 253701693, 774870726, 468942556, 881940685, 760364767, 887162358, 906946134, 121909913, 862071112, 868349776, 800093873, 796346939, 428485305, 406085237, 939547589, 360189478, 710106558, 708859361, 381915696, 830199936, 912263133, 314729984, 176310145, 383096287, 620797326, 180753340, 408657889, 822689497, 244127059, 421836576, 684207483, 481023763, 715354240, 356657331, 636325439, 108038870, 528861049, 766633322, 134621708, 586474522, 920916478, 64467511, 655971433, 675434749, 606583417, 594902966, 694887943, 544871557, 205559012, 10644127, 614733962, 823084081, 872496030, 430841590, 984997365, 764956340, 126162875, 986465626, 666535361, 816326930, 201482769, 650859439, 978684192, 371135591, 751554934, 299779581, 809700107, 796266075, 801689412, 652092380, 650535037, 483674233, 207261648, 423336008, 985025487, 706052647, 911692752, 78429952, 338366830, 860549513, 32744794, 878901920, 556381842, 527338078, 333955603, 206142212, 581605796, 743453178, 30038344, 272114661, 106570188, 328128734, 517848446, 755064292, 428223415, 4765392, 896951277, 98858983, 117765450, 329010168, 522590660, 337704245, 780904560, 303607458, 646553137, 649637174, 23055776, 390501556, 116753412, 382540458, 520762439, 265114649, 12316716, 887011575, 273054026, 920031300, 525647637, 922113464, 742547673, 230181150, 309005449, 295108096, 422642957, 658429068, 430551297, 355590285, 994920080, 519134832, 997238983, 653153425, 830979648, 744821097, 254305502, 66327595, 771606400, 632361926, 948170520, 882642156, 213363997, 533889186, 47624813, 883757861, 519796513, 127438503, 930080988, 96578747, 842973683, 155326116, 238611455, 289324931, 650270235, 275685084, 904590931, 882683993, 636175886, 571509842, 466444673, 427855773, 847211993, 366276380, 897172936, 175649775, 166640004, 698487903, 904519633, 712952916, 157033825, 736981864, 388328772, 119618470, 791072676, 642879340, 98134756, 457054610, 934074677, 619357350, 781155571, 756267639, 700178439, 470591204, 133803060, 869900319, 943370486, 400299595, 515645301, 848632632, 105542902, 687131701, 67445378, 52983265, 699459632, 657577783, 609098046, 999895748, 443735751, 666781907, 687906333, 61903826, 375415805, 772027376, 17320594, 117944693, 780236860, 576044577, 482384512, 208701323, 756782480, 672052283, 646234285, 336429985, 868803575, 216904612, 338761092, 347670003, 646170566, 499855316, 168922745, 163364880, 289506466, 261185918, 892080408, 912375692, 937436969, 180531187, 469589512, 323140719, 345189286, 797800309, 534057537, 639672598, 109643603, 577810266, 71547236, 130007223, 982304417, 234441019, 651790644, 34717666, 174491682, 490399777, 29515787, 387044068, 968277679, 327731141, 544132199, 172724471, 482444842, 995260581, 846017654, 484816769, 494657117, 742165162, 955391639, 993701892, 747245356, 981398460, 316853419, 282477237, 271245385, 564497599, 306152648, 428630198, 357829377, 864851903, 830891378, 518108542, 916688665, 446319060, 979631890, 897549993, 343781351, 584415696, 570626055, 410465747, 862405264, 637070170, 697750135, 988243966, 879755885, 117936898, 730715676, 585343999, 615737641, 651505725, 64812626, 342617416, 625390245, 786665076, 76599369, 137591643, 640527855, 151276807, 82877723, 402537373, 849465552, 190364861, 71248406, 156074777, 272116623, 233229000, 654858485, 915360762, 867390005, 83821230, 240345358, 97328507, 551565175, 799640544, 518258040, 174293115, 774229775, 795003215, 668450821, 738453621, 337895098, 982134160, 421154505, 970220939, 77830142, 126119314, 760065544, 451130247, 180251354, 828429471, 505277421, 695952325, 247813824, 55952036, 107011039, 390136916, 132025427, 50638886, 601982997, 311499825, 606221296, 767186474, 499754051, 266866177, 174914203, 197129670, 806230840, 361717617, 887205626, 991422349, 624597401, 488927321, 224992417, 551222570, 810974434, 146860590, 608399760, 162962958, 769278087, 301032470, 190065526, 532344524, 187996919, 437179967, 489449000, 765363278, 808426610, 388508289, 407458730, 157310379, 275229388, 943603696, 961757735, 500155350, 362823283, 80509141, 745358538, 334048707, 986674667, 481653514, 720088066, 794767352, 570164911, 670388047, 293523859, 811905565, 167607800, 662589301, 275029508, 724623591, 130518543, 597926138, 356135704, 256538779, 157993304, 482281190, 250016918, 37252878, 855741536, 621085920, 529320168, 548929905, 515069835, 81568554, 286845984, 795203796, 442156456, 294853036, 116011853, 881676509, 510644087, 257196626, 678452186, 824063243, 506178954, 319619580, 342136843, 815378008, 582173040, 191895289, 181483612, 494444333, 647702176, 239765168, 737953276, 705202469, 802685435, 699502734, 105696703, 395977294, 303255753, 307151628, 989172048, 457689886, 956565142, 890839300, 648178330, 297906636, 665050899, 422189880, 510140791, 25169979, 22086542, 597555734, 690488585, 723328802, 127160205, 739788036, 54062713, 501879612, 33377388, 851948736, 138458204, 706748313, 518390351, 179326422, 640005648, 391285626, 835424489, 893454682, 316875620, 448521294, 48487466, 936172792, 258348270, 257200825, 897799140, 331421345, 681180025, 36233726, 595782953, 190154382, 873903714, 579805099, 803591905, 988526337, 200603205, 207985480, 213076704, 450061271, 516833659, 245938435, 318244649, 830152852, 337878206, 770247061, 591499562, 741869341, 998031507, 29757644, 69481142, 853193126, 152486965, 31385676, 57102545, 726713246, 400023977, 366741112, 465624259, 554628581, 346586740, 725216711, 40823318, 407014742, 365693399, 92065192, 456929731, 495368501, 719165837, 754941306, 555183089, 370718721, 477057718, 555638946, 870661501, 222295668, 621130725, 349007763, 908887530, 298861753, 274642104, 135296703, 525698820, 664045039, 798839003, 488481387, 718556807, 102515726, 820907145, 98239695, 252814421, 807509093, 484890912, 385028023, 498242295, 680728154, 673358634, 575190108, 69900760, 248299124, 867819168, 768624893, 272926716, 774025317, 741731942, 498638567, 899609622, 543383746, 39398391, 991746406, 266943739, 6249874, 525742344, 432816904, 437586062, 177430192, 353951612, 793415326, 485966776, 451262695, 822900058, 974473111, 985770767, 35256174, 608175228, 111012505, 626963382, 859255086, 667074611, 476081105, 25005585, 656677104, 943447938, 310999786, 662302678, 307871379, 496092397, 703687193, 261853127, 920945583, 583453699, 353315955, 93449561, 400856294, 497448462, 419527384, 503165916, 570402054, 770442242, 888394804, 24018167, 384989422, 526396764, 267828414, 892667165, 852979539, 921126340, 388109862, 302632821, 67218402, 520183305, 631865, 42473583, 875811567, 587678118, 995824694, 307403913, 477413003, 43637045, 643086566, 934508781, 194434863, 278519238, 65697684, 734699017, 74345095, 647440944, 487324053, 471288259, 404305515, 725484860, 501593144, 473402617, 875357233, 927703205, 378525897, 460643399, 995457954, 983732107, 110351933, 382207218, 776842911, 436892789, 776478026, 317492757, 709901514, 293404794, 408349571, 698847777, 554047371, 171083783, 492991451, 996610847, 762323685, 113510329, 30397663, 838880002, 431091943, 762375964, 172607798, 457232270, 677099064, 45278460, 343643509, 282625258, 536386012, 623572129, 343557864, 207070604, 861780848, 330391583, 511833104, 965356500, 587941588, 337025890, 993047653, 893757507, 672069728, 775613381, 598565832, 326239915, 105977085, 730819118, 578500584, 398057537, 694244654, 196234371, 683922872, 102803749, 975923839, 494999817, 796753065, 863892375, 178765463, 595478050, 245851555, 144123548, 486316682, 72750528, 971034115, 791098315, 625161960, 981414822, 547863718, 809825678, 619238372, 518295366, 771946608, 781731531, 421288664, 810681132, 327301511, 68400981, 961865539, 303987364, 812935869, 629615935, 992087106, 384044584, 764838825, 422725808, 753265590, 631445652, 462290739, 506992702, 472954955, 166943075, 455996332, 330052972, 183166519, 767450388, 151919399, 777694151, 115624868, 693126730, 412742918, 276339699, 909723994, 394123835, 985644098, 231096412, 455939495, 740444731, 48714941, 77890466, 829855699, 418294928, 664555361, 206530268, 828001660, 874766053, 173358247, 87577803, 592437381, 710160379, 960044147, 913323848, 701377318, 46124061, 54918782, 420168371, 332471514, 985092099, 823399348, 148399866, 307383818, 16213463, 504372371, 873625182, 491035599, 355905572, 604229139, 223841323, 832213544, 809051856, 576426116, 246562658, 303648726, 475713113, 608345795, 713411653, 888314094, 791340526, 957322683, 26686115, 51274608, 739073967, 467320292, 212273973, 27844327, 312936692, 250128509, 958172002, 939444925, 24829943, 789897700, 507218351, 990421421, 345219169, 458579551, 999240212, 62418172, 302875064, 602065114, 489975482, 878639391, 300376549, 934341092, 398829507, 555651244, 569867008, 67830210, 116511934, 976691791, 211950031, 749615015, 206366932, 439818204, 489308365, 676442434, 212643114, 415783683, 246774938, 670542717, 18229470, 770718221, 575125493, 927650943, 945829304, 705015784, 518411848, 830943364, 456938958, 159519816, 884411123, 994404654, 880211885, 965379788, 268527564, 801818286, 463878275, 346570963, 296150583, 533421253, 519799584, 261107120, 783578107, 75750668, 323045039, 842065704, 553132250, 934115055, 172493117, 538664758, 512418833, 762587782, 911160168, 923967341, 248955833, 470174105, 647715169, 414552925, 995787501, 176515683, 322124607, 494349245, 404491574, 17216156, 889146321, 719918986, 244003005, 69526277, 695234226, 891023596, 585643813, 100434614, 608979324, 139781049, 917796181, 551474055, 874197933, 516895152, 816721310, 358740415, 492566391, 902326068, 249923216, 467968550, 653410255, 70654445, 380836438, 233868101, 466952143, 38058659, 143801568, 445048836, 350920626, 484240715, 952709258, 762473188, 218610389, 261956298, 21050248, 418963634, 415553761, 496409839, 527711721, 674519839, 843545729, 409402862, 77673808, 979049110, 918664627, 560700313, 629109723, 233956118, 901021113, 159067317, 89409801, 32571748, 129959394, 361073304, 417040468, 950492025, 207292303, 790947402, 572854057, 465102550, 355581225, 947651879, 890480655, 658086407, 568202192, 633151036, 904720416, 160157293, 648138244, 382366937, 16670061, 590902725, 628488936, 615628483, 710398817, 316899145, 820020039, 878797957, 579239004, 68407657, 257158384, 687972923, 368350212, 183696140, 65715779, 243837687, 417290533, 839661178, 808931610, 711708609, 960681546, 927390508, 322942423, 111333242, 482124557, 241502646, 353908716, 46258546, 179195093, 802890799, 485078041, 182647679, 519492079, 489804609, 595355196, 677020555, 976007475, 136361609, 123681008, 386329250, 996829780, 718018578, 827574023, 766047874, 552808213, 151079121, 671571059, 701964781, 611817126, 782061936, 418257922, 65065911, 203739513, 498954865, 514866542, 240946480, 700023022, 72041340, 612723580, 585572021, 398615193, 645978474, 533267271, 957736093, 303625272, 16044192, 334142717, 593750782, 725026017, 709596173, 445444613, 39014455, 551926971, 438923583, 252232395, 652149870, 171242181, 662343698, 829821118, 620437081, 863574996, 553581994, 655462169, 793786933, 966681584, 279613643, 436537708, 758154659, 233406500, 172493877, 174761113, 652961074, 720739691, 698553783, 747641610, 88165354, 929433707, 63511742, 173769838, 849646351, 837219068, 838766033, 115908575, 821430693, 719797024, 86977358, 883285888, 381497789, 281148014, 466806421, 346048288, 487431479, 754295499, 343779927, 883719395, 136352912, 374892514, 577691385, 443382753, 513771230, 201295366, 129400269, 589116209, 365044718, 875909379, 867537118, 230125326, 224437041, 594977356, 544791242, 9309556, 2403225, 67329345, 113974143, 642521759, 531456406, 547053106, 916954886, 762993534, 25827077, 501109909, 378502384, 209059283, 523060594, 666768822, 237304759, 702984439, 731413650, 799665299, 853614503, 393660400, 180808946, 731750044, 836567176, 136492363, 397960194, 825719167, 531226240, 65845448, 911491861, 521893743, 465942080, 104309263, 921015595, 466323383, 680318523, 145693972, 660226238, 2002506, 389946126, 621208232, 541499088, 29130143, 957437004, 91616250, 995991480, 292507020, 518811718, 645439120, 642088395, 56278298, 45014158, 732864960, 243021652, 785767518, 595740221, 447430378, 442037466, 252310817, 126463849, 166078043, 920439658, 692501619, 967062902, 109703786, 159358652, 292888350, 286946163, 794465073, 953896184, 488696367, 694447833, 514077884, 623698384, 889122540, 988330414, 719823643, 43099113, 783347634, 671180022, 227811921, 34734668, 831445387, 172104314, 718903769, 726053943, 430235276, 612957612, 536751428, 420009525, 140318079, 599216181, 510389499, 798001035, 176714560, 983429806, 4677472, 817201122, 887199114, 229220400, 109743706, 807522285, 796087868, 669220175, 601686973, 81102324, 602514165, 73663214, 752319520, 662264236, 659862950, 637704911, 754783782, 92575578, 987404276, 949971578, 835385227, 931470303, 880576948, 618263818, 296196519, 113105588, 767714964, 2278594, 353673830, 305173248, 711802783, 277857267, 336268075, 580185159, 904664696, 229692712, 398114547, 945075489, 800710525, 170378046, 785456337, 564328581, 994896889, 667945259, 81001836, 349635475, 700002131, 546577256, 523288510, 178830909, 240298462, 84919439, 223369076, 224624250, 177534472, 717814797, 377129908, 181061434, 450944266, 932216735, 148782910, 584803947, 354754710, 737323285, 354999978, 158087133, 403063225, 962796625, 194293808, 918848289, 402965168, 667782082, 112424708, 670411841, 294868685, 801715899, 932495574, 408765928, 591638641, 822866402, 68263756, 220210485, 638843804, 597246151, 366206532, 253487013, 321148092, 629169193, 802954307, 840715490, 170104554, 177789020, 203018664, 758495139, 838387061, 681785218, 651264158, 358689434, 250791885, 810478601, 721794311, 344711552, 372846269, 423598305, 150952440, 84748862, 646502257, 863921611, 644845902, 277811761, 521487702, 364861491, 95604818, 455611392, 724318205, 650255808, 153628075, 327581629, 477706750, 750700531, 351309982, 244853671, 600837550, 404174399, 549152188, 574079186, 709846238, 623164232, 259257009, 162263739, 810210546, 918124580, 144571337, 56788400, 147905858, 545729866, 201411566, 599456185, 471622779, 919007752, 241080123, 682835498, 983937044, 446435730, 945906122, 589737193, 745709079, 512476683, 963627819, 221027097, 350768254, 375727501, 647316329, 18683035, 349547850, 286667764, 16293965, 446083949, 981094735, 870927667, 868739110, 976661508, 65175929, 472726220, 578139078, 815300038, 394781459, 333888493, 471377795, 58901649, 735836776, 408504573, 148214577, 881363648, 464661601, 534174692, 380691076, 895416727, 602877364, 866918970, 566691272, 576641452, 482543394, 460418436, 386704507, 816884897, 983259294, 117135735, 677645174, 234213350, 816419238, 943285126, 438214421, 423243125, 27865639, 757982447, 991362237, 592722701, 805752136, 935959959, 342668517, 317421329, 128037771, 840852495, 889166971, 748591259, 760492811, 496882038, 878296790, 849442641, 850883852, 65236171, 309272990, 583222921, 465397108, 285670366, 304452688, 557657084, 880389805, 38641105, 154228269, 856397665, 316154076, 687898914, 979320295, 638298592, 459222319, 752088173, 922102754, 114176958, 307032142, 676622702, 523860672, 658004157, 721684275, 17195963, 798482930, 244434269, 352554861, 687326174, 366473399, 543754571, 736830796, 519908879, 831000168, 51643123, 997008977, 230670829, 580627594, 279305748, 315248836, 669440377, 169524490, 39199662, 296718757, 771893518, 918588919, 827816302, 196339611, 502277162, 990006215, 983852595, 882289341, 308527219, 537569531, 915782909, 702111537, 550704520, 557828253, 943698148, 248418936, 342955751, 933197852, 340708015, 496074483, 196531117, 337796894, 81549277, 51086747, 753467781, 627767204, 689486741, 175123045, 610898300, 31905517, 440962231, 181523729, 823983124, 231811186, 33296080, 847182087, 699255409, 958890142, 303676846, 462048041, 558807079, 216810094, 819465833, 248355457, 186660198, 759307899, 711783195, 228017511, 805108908, 835032343, 505821695, 312222322, 646057774, 268275680, 427320464, 828525775, 684616028, 512062368, 732444731, 590402042, 937541389, 827410738, 263859008, 264133543, 48811408, 274824270, 317370719, 903210025, 965159828, 286933033, 20439728, 547380658, 487372701, 753492677, 78901656, 585010131, 289998581, 968890289, 76190630, 842697153, 948092837, 90707981, 105540581, 521186842, 596708234, 202486108, 318456535, 51046344, 47323987, 630682720, 388059705, 906762321, 772664000, 271319623, 14953562, 305819364, 638503283, 326860453, 263627347, 181910737, 289239205, 578571383, 901793231, 18876324, 770705189, 142064615, 916913729, 395193970, 250020153, 18744907, 736832061, 151920930, 341648633, 177045183, 186598794, 549474461, 486699745, 602504200, 667460303, 652473499, 505572411, 692860583, 593697343, 621654860, 394110136, 796158926, 313985101, 136154999, 281335981, 438855673, 201569225, 162349639, 755011712, 655934239, 825405401, 723024708, 654813557, 991335689, 130106891, 133673409, 461861464, 980669085, 162133069, 803292025, 808452056, 230956484, 727279753, 375662963, 182329649, 78642792, 174795892, 145421651, 583974269, 412805246, 70489617, 162412821, 759849388, 326291212, 47796241, 910063256, 784650205, 347364078, 372181798, 584482250, 152824871, 206494068, 24226320, 726132935, 420496386, 862292314, 227082843, 559714901, 557205438, 426979968, 494489599, 502235324, 1711233, 294512699, 289442098, 755596690, 823002055, 146867568, 939604013, 776068590, 337101256, 726027215, 927277631, 101217214, 2515924, 401913403, 160036808, 577545223, 610757467, 674452980, 514749692, 199524, 222878231, 462852188, 630981576, 511133957, 953247907, 716652086, 665797138, 995982466, 197985782, 109395425, 362333439, 203926749, 841505612, 453667724, 930855094, 138607912, 284857710, 891402800, 808647926, 372376871, 451961478, 30335963, 212408542, 931647748, 880732298, 909292898, 715618793, 340196968, 627092366, 991879998, 487061701, 959082597, 803594579, 132378013, 404322236, 534025560, 863166986, 874609411, 971361212, 435274099, 808426375, 758540072, 618314760, 542863883, 369970344, 924780878, 251028711, 855973225, 968439363, 688679248, 761133170, 773706712, 160145093, 154955355, 85535639, 113676056, 779428221, 890892940, 236765627, 936041824, 422337656, 733034539, 97889174, 789154270, 988986140, 283635521, 686870549, 566448216, 926944547, 130856677, 477818075, 999051991, 142908712, 780469103, 955418446, 12671596, 203508303, 396308488, 15958049, 80942206, 998856618, 286366185, 773185030, 337242896, 247068161, 572397404, 959747069, 780375337, 920473359, 762358669, 96348666, 191628956, 359912500, 894377997, 383531122, 992513374, 863114411, 123223475, 331117281, 111454815, 146068159, 17998919, 792081960, 324095230, 740738385, 4538105, 23760733, 361416907, 112179756, 640495097, 711389633, 393175299, 904470866, 849687846, 166196956, 854521106, 769661475, 431616954, 47225919, 357753241, 100502841, 435870170, 522505406, 787143188, 777281050, 544006450, 115850087, 776187856, 756841900, 728363744, 487879185, 480237569, 626136148, 680884811, 198794370, 600833948, 312835782, 86755558, 226055073, 84841663, 799070048, 110725383, 507796270, 121213442, 914122816, 236639969, 91225487, 509205021, 241955340, 554195290, 102788987, 532764824, 235979035, 998199025, 519521535, 708147275, 370965510, 717195102, 287307171, 901568896, 196770293, 789106566, 788021202, 320815433, 829344743, 510897421, 226210105, 889983693, 748420295, 269793495, 605485694, 998344298, 417777609, 315159805, 595333107, 266213833, 817869714, 84565829, 26254617, 978680066, 642599485, 901946470, 883737561, 490388772, 620297946, 769128005, 471259975, 878969186, 915349389, 489046350, 942542467, 658807378, 585809855, 28095267, 32487163, 124850969, 475871183, 847426710, 540954617, 845394691, 253340775, 14449069, 221867263, 215042554, 88127131, 396013609, 207768642, 828687069, 323677791, 172338493, 390096979, 435490697, 720454955, 597604713, 655675881, 103210493, 66790975, 385988438, 721779116, 23253398, 114728284, 742143852, 227586237, 130918121, 715557492, 7489087, 15348326, 686882858, 985097392, 477011273, 471349465, 948082076, 56048970, 95307897, 879641798, 236062681, 418679563, 595683699, 833377412, 241666732, 500347542, 179639676, 748742510, 358838083, 700083763, 491514724, 363817309, 796484073, 352543013, 692281114, 853957450, 848210620, 160490076, 646460693, 676518066, 532161387, 568097782, 955767818, 573567415, 224496004, 6956404, 711161963, 720761647, 862038307, 283740191, 463515502, 500709594, 250943765, 26005570, 966322209, 231094183, 553690511, 533821231, 938893141, 959012379, 36426698, 759199812, 674926136, 997232536, 215452537, 712321224, 522709672, 851734082, 183284157, 685126017, 316258728, 351785484, 26090119, 847797045, 261812345, 475486673, 556190962, 105807444, 464714838, 827565151, 502851926, 179000117, 38179848, 831576208, 955753969, 575065051, 903029051, 286214098, 530212463, 158068856, 559040597, 442502743, 162096310, 14441422, 549209899, 687095400, 187906450, 589159800, 874658086, 744488200, 683596034, 13475911, 600132368, 619066920, 764773595, 381069003, 348340709, 675278253, 371895550, 581459614, 614028431, 639445191, 794266771, 256171548, 745242270, 123406029, 608590605, 827544780, 720304329, 468994185, 556249330, 627413, 483246293, 54452325, 104175791, 555424203, 166577823, 488132449, 453713239, 130091690, 780607593, 880774575, 13466214, 625531798, 732519845, 86631301, 510777233, 33188062, 399558906, 355647493])) + +test4 :: Test +test4 = TestCase (assertEqual "for (continuousSubarrays [413731335, 708336615, 580085319, 965787266, 153396535, 591706899, 72721949, 674953891, 25636195, 948911655, 310850223, 386611508, 121141727, 808100, 298392873, 256726253, 175205914, 187915309, 657868217, 431814216, 270931564, 482808416, 846581830, 969190130, 202954751, 344941064, 305956776, 519071697, 98968590, 316288473, 771386513, 321406714, 666237611, 369058382, 125237637, 797497392, 5605464, 40734473, 275360753, 238178478, 800575742, 719846386, 716241553, 915332913, 721102739, 941978111, 645458450, 171452992, 829709893, 754359272, 673003152, 644744845, 216541790, 734948943, 683613208, 838534829, 603081028, 815431649, 352087711, 140211730, 293284204, 22469334, 897099441, 791488292, 99266880, 979355467, 373745765, 90037547, 961655046, 309461745, 193364737, 124234102, 582986, 857155781, 228344949, 278300939, 171852962, 238194209, 602079420, 325459203, 761636070, 560540757, 683762146, 536611697, 108084330, 89997168, 174648446, 699417636, 368273871, 239270231, 391868945, 609215741, 700049755, 809741386, 817163827, 871100123, 346868100, 861099090, 644271475, 394272061, 490454401, 644394657, 881767225, 834599122, 287498283, 375092578, 420342855, 4000933, 211111295, 212319923, 781867875, 267537512, 341625517, 413656489, 801281415, 594434, 801007943, 321374765, 907027605, 605118147, 336984727, 279791512, 871713172, 485049515, 153294539, 197724101, 978374901, 553433438, 962255541, 915612957, 249146722, 98268937, 762756724, 345221529, 29371830, 214098867, 322318837, 111719620, 673731698, 561512126, 450358741, 930383888, 694012077, 721782616, 915076595, 700166359, 957949767, 620792132, 357407477, 144854746, 967423508, 376914401, 149002547, 512037393, 356617712, 823634069, 917894576, 234526984, 833909698, 801274627, 237940936, 361945441, 840951465, 88002496, 113299508, 183236224, 223963566, 192532708, 955943454, 582845092, 684863998, 974926659, 434490852, 666925621, 951922254, 948781769, 269592311, 986648341, 785123125, 838865814, 943287768, 584171302, 28570371, 631314234, 781596115, 443217680, 333204827, 241415409, 213999286, 413781985, 310232141, 999044622, 628588643, 978380099, 824326324, 797681320, 156693224, 112145784, 947601358, 950562974, 494537697, 402120769, 7114010, 937456540, 567410413, 128875397, 521652145, 730976213, 867588791, 635633782, 39059846, 110144999, 670754947, 86063238, 728593109, 354849737, 957362000, 748743772, 770989822, 567276943, 791676823, 252069739, 956291521, 293971084, 732418410, 573495473, 473709615, 151288094, 178720569, 744989963, 775285848, 106362128, 746619571, 630679516, 335103311, 886547599, 427348844, 788963434, 720701036, 316032412, 488895813, 508908871, 980926474, 38871807, 25448939, 743692941, 975164034, 305042452, 386000934, 292726712, 271695008, 870759, 105884490, 94235554, 315968749, 913527536, 925914200, 744330646, 958804076, 145076876, 441496119, 402285014, 172213728, 169337806, 861042534, 586556348, 199614766, 236678927, 914626419, 656747484, 536165158, 199529608, 396479791, 69286094, 19800830, 903654001, 236553158, 747469314, 777537787, 270415574, 149388146, 74400287, 408750353, 289661278, 321944803, 65274776, 792999794, 663706642, 175482094, 813034331, 992430157, 287882232, 438487982, 427977428, 612396567, 119920863, 940603084, 465669645, 162707962, 462939356, 878376176, 930982098, 606577721, 926425328, 406992069, 669793207, 545976193, 728185279, 796354077, 542883079, 181147355, 465623475, 686865566, 663350157, 63513768, 137935593, 917565590, 886870659, 11445436, 800849397, 470104196, 920935548, 495365622, 956450015, 448479631, 3029746, 829993242, 637419854, 275364113, 366817830, 225756186, 827038380, 237179227, 950321772, 751840365, 118100349, 248412969, 265898443, 715451284, 917768105, 304928619, 842114964, 385856998, 321836303, 299829327, 840288592, 330976027, 109072258, 788020064, 792750432, 556960388, 916688334, 200152808, 996937287, 855926397, 676215528, 212492739, 649660265, 970060576, 267597002, 167781870, 206955139, 430916249, 748609618, 515896812, 803033637, 793689075, 548534581, 538324103, 183411531, 201243818, 599537504, 700391144, 557911654, 51996414, 548944151, 158261211, 616006451, 111582550, 621224415, 340902531, 943885077, 743256658, 196911496, 872411722, 976923959, 955308225, 833507771, 24017746, 540185215, 163122054, 943017611, 855797206, 816165484, 374728161, 982580543, 494547501, 715216836, 871502321, 182940591, 709230709, 557987404, 392819334, 906114528, 398796636, 565543554, 537027209, 187854476, 279930917, 363397967, 229580194, 24015436, 39306439, 668000971, 422475936, 959728478, 429088887, 344077326, 419642544, 30275043, 894648164, 681893497, 60418295, 923875981, 478237376, 53166924, 256824820, 120238770, 76801085, 850766631, 343951556, 551986164, 15782546, 612560189, 817881999, 902536232, 483356197, 768100923, 835058136, 80866190, 856731801, 332392883, 369822756, 599059558, 153250436, 677183121, 799588468, 276867444, 571407204, 347549505, 278312466, 966210989, 200557664, 150037612, 417386225, 824570285, 342316941, 490373184, 484095345, 885418724, 106013468, 902998002, 576464868, 212026191, 134921934, 264730231, 173416926, 426686639, 496806619, 219824633, 93790039, 650501396, 883577034, 109886354, 19184042, 583601582, 214197200, 8849132, 908027782, 473886796, 207044992, 76840755, 835555470, 998541685, 78688441, 2827655, 714460831, 806380957, 556238150, 702580286, 567714041, 243230630, 86720563, 62701673, 215853615, 78188446, 691994899, 116965365, 900179597, 512174404, 757720584, 302245326, 929726034, 773131145, 122947131, 768574752, 461913631, 545297838, 711952955, 799755660, 667207693, 387016143, 753348286, 158279966, 716779547, 609894386, 437866035, 97646589, 753477047, 281498129, 591705538, 46827770, 32682921, 858190303, 665669424, 45444551, 223380929, 878307807, 736007544, 861020535, 590178625, 634284662, 399756223, 87368198, 886429843, 686766055, 276174149, 521120704, 613108288, 849052145, 146646259, 250221263, 612027197, 623760543, 206748793, 922383026, 270229216, 151607509, 716259767, 968705433, 123403254, 866296346, 564391485, 963039068, 356790218, 988067875, 418524951, 893380393, 171779163, 64755481, 548151237, 788971640, 841725143, 927643523, 786340731, 630290254, 176806686, 605885633, 892104570, 501043790, 345946105, 679562320, 665783998, 217185772, 381219151, 882628296, 608473379, 332805512, 56566108, 925585918, 83015590, 254176096, 932334129, 288039543, 457713543, 846359446, 193969957, 636900718, 329621267, 639165997, 963448136, 223944067, 895146022, 557647432, 646539153, 232139458, 32228366, 333162038, 451494641, 629478700, 30768043, 118435128, 182388584, 283986470, 884752985, 45516620, 264728776, 93124502, 232682795, 407730356, 454644103, 560670331, 206494864, 665484115, 747835656, 869491083, 554345470, 29516098, 852742245, 42655265, 425852606, 50663716, 516189766, 321400450, 718188085, 203454416, 278541624, 597682318, 587039170, 296368722, 732535579, 110714948, 937555221, 347954526, 724477753, 620055420, 284402158, 146124168, 763015906, 953936077, 673788060, 825563655, 735934087, 426531771, 517511130, 932554319, 189329293, 292900931, 55161390, 310959308, 483535385, 997199345, 973244766, 612355413, 954308705, 984859433, 359607273, 743175474, 35022266, 959417310, 136718697, 926594041, 516356542, 74705318, 337746782, 896018366, 899482249, 300926791, 696835683, 673231212, 562571404, 776555855, 939619077, 838564848, 636538558, 253050192, 683060504, 984688992, 307974244, 283372334, 778956955, 689761985, 406481107, 14291891, 347227620, 69625173, 579166626, 41424192, 879126995, 456955392, 663010276, 717612835, 963318115, 736922174, 484654684, 791843641, 38579674, 795825389, 497339006, 434806962, 652390131, 345940390, 93907458, 645962363, 284085320, 163961521, 675082385, 107379399, 235054852, 306850097, 267194775, 12475538, 398394422, 945322302, 85066595, 58335379, 93083420, 937646795, 265322953, 414848641, 628546849, 885605272, 611960029, 71300872, 707529456, 203519640, 904855747, 947758838, 469804206, 528116603, 982081061, 373012403, 180752230, 747937832, 446414086, 462683272, 885011593, 754054680, 713881233, 135380616, 551436332, 758717175, 455031398, 146912511, 649989274, 358754299, 248111693, 839059227, 729934034, 665481302, 850532818, 269804145, 651283525, 477837349, 937048296, 485581230, 483691200, 121639719, 674411996, 42051473, 254999016, 334506778, 345294312, 356534241, 623031843, 627940204, 455563997, 852758338, 665197802, 381757926, 439627824, 648049707, 135323521, 109739298, 888047617, 563577448, 432935334, 864669427, 950560113, 633179031, 780669622, 907134460, 198717665, 890665536, 457587904, 184484965, 81276651, 769854047, 45405839, 208140976, 637347877, 228873096, 465752861, 280407394, 752168231, 711650345, 88894179, 697828595, 213659810, 568041834, 347149794, 915180944, 716092361, 766407138, 149345188, 101330956, 597732507, 19821446, 689477539, 371841395, 139447671, 144679961, 784762364, 808896792, 172847976, 853629079, 628430389, 488459291, 300400394, 891468567, 815692958, 523045758, 177388290, 773739145, 397110752, 958194515, 640761148, 646682357, 677658927, 947047201, 158130416, 345388562, 849454439, 476040908, 67076603, 74483251, 270237006, 434145305, 679391888, 239209888, 575743537, 947020258, 29982786, 65339228, 293454639, 795063205, 246857433, 783907320, 393630647, 568762951, 306074758, 922988635, 694819402, 970879428, 455679704, 212376216, 997776697, 855423864, 677069322, 310592112, 91567111, 921453754, 225429190, 371350941, 235957205, 707966988, 501175677, 565691995, 738955477, 33396184, 162724691, 731371019, 399931965, 561248316, 976210094, 409571727, 573027417, 517715106, 369660110, 178210695, 560019596, 252599420, 415898413, 328290766, 386753946, 719202808, 180165193, 925409999, 597842541, 664280152, 994655470, 989054279, 221977146, 608096993, 177671408, 127619823, 388409434, 363703327, 865203222, 802778059, 219558153, 303955686, 626020841, 578270154, 457779398, 481976299, 781708969, 944998681, 667066644, 507859378, 691276117, 375307211, 300374293, 694615978, 88932354, 954566837, 570053458, 325505751, 392936053, 141709077, 714641953, 340246795, 158983891, 856453030, 476861855, 560448974, 221576372, 772448208, 57062508, 132293472, 498376038, 416156538, 865353333, 154858954, 927836276, 907216222, 846558843, 676462152, 434378702, 866314004, 670415126, 904861588, 850418999, 302975282, 984827028, 345577260, 554134319, 544854958, 565596774, 310366024, 17910569, 918313569, 334051047, 899956946, 382511654, 160117597, 720442857, 379556402, 877458950, 292765966, 699918481, 550858665, 111545290, 820881785, 993301842, 308445312, 136113246, 919317248, 76541674, 467027571, 593287573, 342598357, 478869556, 453782080, 535498761, 512863157, 340014702, 827734938, 449353949, 729077402, 22276351, 736766269, 393531337, 745679509, 279935525, 493997536, 832023340, 996919625, 606430248, 252205601, 527759321, 825971028, 848848206, 718311826, 783199109, 384897174, 432343008, 107686214, 610382970, 627198023, 929646503, 358786231, 800923701, 256403902, 631903868, 958679879, 606442146, 521617517, 138742386, 526546010, 943515984, 931671476, 812513572, 786285022, 8034113, 405396209, 95714134, 92277382, 477747542, 799940327, 896793430, 494787896, 592010774, 8371281, 53712796, 640875897, 272634160, 154239003, 166722024, 326851209, 664982616, 183225438, 777672419, 695421105, 532798499, 185272727, 269208992, 54031602, 303491895, 508076960, 38161764, 669458990, 763700802, 133768885, 66571419, 332765184, 286080219, 410370061, 865414802, 106340020, 607411838, 686468455, 980674668, 572196789, 350654464, 263288280, 591573645, 272716357, 661662832, 17301381, 846253425, 276239867, 710925627, 345850488, 172748944, 720276497, 830664775, 208822833, 269604920, 309099484, 982317947, 314986552, 773287077, 750600270, 833813410, 273508835, 581329099, 649800751, 988757236, 268663805, 233155640, 439200021, 704711916, 340428817, 88324629, 739318435, 805208225, 30214482, 11667106, 880231600, 296234196, 202527775, 272785462, 85570851, 206930524, 158405208, 744852941, 496308108, 430260873, 581774515, 389483578, 644217884, 978644595, 309731298, 823169165, 868280281, 221049982, 978450207, 856046889, 206461635, 701897057, 433780053, 481339485, 61330756, 799145541, 911167866, 207488723, 610636375, 405869894, 102341409, 623531841, 371294189, 482933052, 821832287, 395455790, 365373327, 859899797, 188750301, 157327886, 201708214, 981655148, 568593284, 11447376, 704056583, 853691294, 929765718, 867689661, 652778673, 678736806, 29907996, 587751788, 430040407, 167489770, 206790429, 32739086, 998488865, 731108511, 145848401, 802725720, 632434616, 570700852, 531114033, 247323014, 509584135, 854169338, 984936008, 812785848, 780268263, 293665316, 933357329, 900522410, 216913150, 658392842, 82729587, 928020201, 246542059, 629954375, 676441382, 640169483, 609881129, 893816886, 762131991, 395270473, 402346057, 192443411, 219215208, 76092517, 676589808, 987095262, 105540739, 754070186, 87970786, 936906968, 479684644, 157227726, 843034713, 780789152, 991684617, 989012687, 713638928, 845462838, 633572721, 527597588, 187970877, 551924609, 908104139, 356526509, 947973846, 287531904, 368884759, 754952633, 795545133, 67745136, 781670999, 519061099, 944914594, 656745076, 679249536, 847332578, 294172234, 816163130, 555879280, 970069641, 863387397, 38409322, 355818671, 760099475, 531856656, 53936327, 279823079, 948140990, 965518126, 353922218, 200829283, 603711874, 755229679, 321801256, 430960874, 602148374, 885553559, 789093929, 711154245, 664739264, 228600828, 307829014, 103639007, 651476143, 8138101, 823388907, 878957621, 691461309, 659327330, 489912293, 413049832, 177972834, 275307680, 876023238, 768807355, 826587272, 736672976, 216435475, 487349073, 607079682, 883922293, 23948295, 886188621, 546760920, 207095748, 321301745, 290036870, 669825611, 621498370, 301925206, 925691420, 335354994, 429424789, 591585472, 524613200, 339984036, 900359720, 92923328, 905892915, 201371015, 690420231, 90619015, 246443495, 186347028, 805764862, 353280814, 285368182, 354402441, 323023485, 396364199, 718622780, 832184, 600785897, 115313110, 762948544, 451458935, 416157136, 780261318, 946846801, 488731555, 467329511, 741703242, 2309424, 58553289, 147950607, 543848335, 482709470, 483232376, 933160747, 905623908, 271978875, 731550634, 92537489, 931298197, 372604386, 820892540, 706933772, 866427648, 681435659, 87791021, 962277540, 702302773, 612418274, 566586339, 531418163, 212012934, 22420066, 116294017, 427298032, 588188941, 480754582, 958970820, 635445821, 461684313, 25237641, 707708114, 285421054, 636979498, 534488517, 134537996, 573651066, 778211996, 297152349, 981990991, 94330261, 267544507, 607774534, 742960351, 750790892, 687665011, 609432555, 127056040, 909313271, 310864816, 560698465, 929854496, 90637042, 171798607, 474091866, 190333634, 132192401, 307675697, 198564991, 467104529, 749218248, 741646970, 338239943, 318088786, 134256018, 623326505, 162204385, 445071719, 84376471, 268984039, 824635759, 805378017, 239093820, 929355962, 12335178, 753620269, 603878675, 51159571, 400555138, 927041300, 835504522, 726171350, 400983102, 358150636, 344665908, 481756721, 251242336, 295043691, 415962542, 913758599, 111517785, 423761433, 503053658, 194884323, 588078540, 718140888, 523613132, 450351051, 503526620, 830037658, 633231798, 473969186, 996141499, 823443876, 515858164, 555740081, 776437847, 865403087, 82734522, 926236247, 99468669, 405108225, 594580402, 761994997, 240304348, 201507122, 113462820, 364781613, 869402824, 350507036, 623640033, 216653571, 689337138, 725853496, 969462378, 880140140, 607518758, 755946679, 813607781, 255698977, 966036932, 878926096, 634115631, 244456837, 894683587, 817240970, 58220318, 590517693, 585765159, 180430852, 481887488, 36188242, 17773085, 810327385, 822915204, 560296126, 202928704, 749254079, 526905804, 646756794, 866888268, 580018090, 489031494, 559663258, 272580501, 374898828, 158268266, 822549379, 948421906, 81866449, 959990529, 405420587, 19196530, 58709529, 119084269, 411145061, 712341084, 255804011, 177348066, 331079796, 890849643, 43516975, 732280588, 958155787, 768865587, 895149677, 923408197, 711202999, 619168110, 155600920, 537719386, 401231278, 73183990, 134329509, 183280529, 602112261, 902666659, 605190591, 86090875, 477295210, 234408494, 135196569, 423482189, 129847032, 671983693, 531267536, 374671287, 582156388, 978417623, 158967063, 824847733, 459921769, 990416567, 883473999, 600771904, 321708529, 97704799, 674009918, 256895128, 745572001, 785990678, 694379085, 785393692, 139499981, 316773317, 740087705, 362998006, 793949399, 529138921, 779903627, 179654716, 617366173, 583651712, 803138787, 414570553, 270609377, 259193200, 149093106, 932521885, 443906154, 869471485, 728773909, 987078272, 66387044, 994341389, 31811108, 605436569, 181588170, 851740847, 428750091, 635341282, 615303444, 341613923, 987286694, 63810661, 601736867, 367423763, 358750294, 21385945, 536549389, 224073134, 908074312, 311971782, 41858382, 929576924, 289753986, 920029407, 645000994, 220997854, 951531687, 467513694, 798040859, 145395042, 840760159, 710479528, 174421049, 788076005, 265542245, 82774055, 766809571, 478516002, 947413061, 511230509, 121591704, 12416809, 491944114, 832717451, 630629565, 881620877, 50408117, 757642856, 93616113, 578449110, 864041138, 218140648, 739573473, 247690670, 692977352, 114903635, 212749017, 367107123, 883831586, 336508136, 536592435, 721478117, 544508468, 626728182, 227415688, 545452112, 92260591, 209274476, 364600612, 218264139, 331598817, 121975173, 596595040, 144819563, 384696635, 111906949, 199066296, 852544130, 287666918, 466408994, 215037610, 776148646, 143302235, 614490586, 545193971, 218330004, 891563472, 98679046, 147710475, 622255911, 778571501, 441003607, 586419318, 479857603, 402575157, 382983304, 186263041, 428129570, 936566321, 375652041, 888048904, 676814082, 395646379, 678684668, 95081400, 337695960, 198388430, 746629561, 490103305, 136224723, 954782470, 905609914, 192764728, 620837778, 341043461, 449567709, 16148897, 48960736, 13137924, 15160714, 973551303, 530093381, 670145556, 980662824, 842445131, 587948548, 644743872, 17712348, 623960213, 941611645, 437897142, 740568060, 206999374, 280438024, 632798957, 822889511, 24591569, 865144193, 69254796, 238651238, 865514563, 192944549, 344505079, 974756231, 791556700, 154327527, 941380658, 927831565, 336508836, 362901036, 252011646, 1802074, 737579607, 209112523, 260213570, 686582618, 642956391, 275306945, 601678177, 958575484, 634003392, 676395873, 767602218, 207325742, 205166807, 359581837, 414668788, 311790101, 73377179, 320995330, 726351541, 841097334, 308136066, 929338548, 459183296, 552363253, 155033258, 687391407, 40369502, 399707430, 441850841, 928123680, 296462381, 323214466, 945967722, 469077259, 792909966, 156590061, 756510015, 933403491, 893219035, 928875948, 526315862, 756896513, 751166815, 408446317, 838531174, 593831202, 304298775, 405070986, 811446196, 466032385, 87128607, 869784367, 299500460, 397039652, 664783085, 483631800, 451850920, 148108505, 976320197, 308000602, 186726641, 214510746, 96698232, 222484140, 638792388, 727309438, 768100598, 405772613, 672335026, 3125548, 98583732, 280294416, 489498907, 775363202, 951900602, 978863160, 440305503, 349402480, 323847643, 993961069, 918551710, 328072514, 231206965, 789247867, 131367812, 125618915, 563084042, 399203963, 119243107, 714903829, 860774111, 766900018, 905725290, 394311739, 228650509, 642996197, 36153257, 356140251, 224629587, 844745104, 253968060, 565111557, 343040941, 466115334, 973312213, 915150604, 355238148, 658840592, 785423118, 763722188, 294086193, 173809863, 348517867, 877667141, 617188337, 491224323, 528789539, 255288740, 258499173, 898343497, 453918864, 903826549, 80434292, 150757602, 833945549, 891464350, 565992242, 334700943, 802336872, 450473690, 280270859, 892946581, 138153471, 327100304, 276572296, 67549691, 315737078, 577199727, 191010696, 703245924, 618788711, 316382655, 607061435, 834859554, 246070374, 248666652, 97086396, 108551426, 297094355, 253631200, 558433434, 868304448, 384265042, 955085543, 829446894, 684460743, 43936312, 63833416, 885065419, 34494294, 972177440, 758022393, 528532090, 387387983, 13062534, 303265324, 182270410, 755188342, 636100451, 118980129, 538704446, 644397469, 154122018, 840724502, 667511591, 132284721, 872377154, 282160554, 330958291, 801103067, 248827678, 76319661, 360294209, 387233283, 656832441, 62019489, 157320427, 758412986, 746719372, 698161212, 787018660, 246835661, 879814196, 957764678, 56055627, 166318443, 767075391, 163396082, 440001027, 793918403, 927579793, 616208632, 525499036, 985362048, 170581666, 673114281, 422560901, 921245163, 888505653, 244862466, 755687979, 308131593, 322954592, 467364254, 39570734, 791368480, 771068163, 982980768, 695192613, 526092979, 275401837, 830590155, 379416756, 705426232, 125828588, 713321239, 603390198, 15373925, 131499536, 590990244, 585320324, 965297198, 277110107, 89571726, 983954663, 447140540, 138215602, 41359650, 340236648, 463967801, 576198859, 436040623, 545039097, 670427915, 498140518, 262231666, 785004014, 616942953, 782191947, 716466633, 50315160, 274931836, 715714153, 137181297, 974215292, 625900950, 318857650, 557069969, 403350402, 778843347, 78915141, 352003917, 152225373, 711724823, 133786300, 429811808, 5438497, 413350144, 324805175, 582928216, 502067412, 302536569, 79915926, 262206749, 830636980, 340167017, 648355063, 459945291, 69864440, 847941719, 841450818, 211302260, 780475703, 551431815, 190898234, 628878910, 979545553, 996435985, 273410093, 138758589, 522669360, 974307676, 801135424, 446094044, 273298907, 764601587, 595204710, 866936437, 908376941, 853199017, 601488548, 891377764, 57827911, 753350571, 61600406, 476006156, 436672052, 245304427, 171539891, 32740722, 609297442, 421062638, 779577674, 790914027, 843741481, 615519891, 323576434, 893093779, 153724207, 475861604, 6976568, 769960428, 669697249, 721652390, 358065158, 644258115, 534961471, 107840586, 764810077, 181890870, 509493009, 81132472, 175634367, 461570493, 284398396, 379500647, 31782829, 261217061, 39552613, 975723746, 981134081, 926465682, 233412795, 544255630, 839767794, 64611268, 631704423, 680504505, 78609955, 753654362, 245745949, 321809324, 91326980, 480139299, 50870750, 452780641, 984163580, 4236369, 667656910, 250444181, 712760650, 443775310, 590502920, 784436719, 785506507, 744319456, 402604512, 467141403, 341414353, 601815337, 472568202, 13704160, 929527657, 599092153, 863038896, 749376125, 579346166, 229013417, 977245189, 104048011, 726079062, 931757071, 799461439, 93987121, 651680291, 78792256, 979254270, 427703181, 397690189, 527556296, 729361637, 19301146, 542611347, 859009938, 332461453, 848947886, 762489565, 852310890, 523779121, 310655147, 377435140, 468309975, 244718386, 440811636, 940037896, 72243965, 257215034, 651548705, 794286323, 433276852, 958232382, 171790538, 53418648, 5226118, 404018104, 873291369, 321807151, 354792113, 830690912, 945527872, 216470404, 653811890, 981144316, 607414712, 769539250, 107671818, 102570011, 15684039, 723952448, 731979623, 956953138, 739380293, 270919429, 750088466, 849781831, 171522685, 536354176, 998052961, 49757192, 705930442, 538187851, 180343305, 93957807, 51247223, 829840308, 687895586, 932170852, 661679460, 627791416, 946826259, 822589554, 598170312, 997796557, 676041757, 935813390, 685161801, 72425486, 953974810, 68525757, 805082254, 671588514, 932607493, 195369808, 758163333, 144572205, 834002385, 634082125, 666887480, 767454091, 562150940, 421096460, 328638399, 858926615, 525790239, 18726584, 71769579, 899265887, 411248251, 14775613, 867023116, 894563930, 371093961, 874678144, 505523406, 259706359, 324979771, 96440357, 875200784, 447029881, 664176421, 648670116, 699728729, 770533919, 826712206, 590162638, 499972005, 544415193, 763403045, 354065558, 103404943, 38978182, 7406911, 214214861, 749820134, 180696438, 999592382, 307101157, 227210948, 712461226, 42968507, 385099071, 920384324, 912156961, 578168437, 94503362, 745370693, 65370187, 603830078, 77457120, 25896102, 929685720, 949156158, 179804062, 307568501, 59127807, 677398118, 862806293, 476821206, 81176497, 929610983, 39732898, 578236375, 639982924, 640438440, 831806694, 228031358, 525957489, 768896195, 544179047, 866408305, 24590029, 376315026, 932223558, 101309346, 490341441, 608094837, 605479312, 600859610, 920336984, 727802194, 175767973, 249461792, 764795797, 614232673, 590809348, 190710589, 873215413, 701324209, 917237583, 1731674, 394484315, 428901387, 234256603, 754488229, 103196521, 248706088, 68765620, 527384784, 342104021, 394604600, 490251877, 469174900, 236666888, 645885702, 365041806, 306551573, 954086918, 742465961, 995407332, 714449098, 509575481, 474634533, 246230853, 667404858, 289452952, 623024559, 736680837, 7442503, 707957993, 739040070, 152413642, 556011186, 229488458, 939621870, 7237687, 596633048, 408582621, 93036351, 80692053, 383751390, 316267179, 255243279, 614669856, 148848957, 295959764, 470285261, 232377397, 992310871, 257337028, 988345371, 925194406, 43555239, 65467475, 33796906, 977861317, 726995273, 474282957, 695235422, 603818422, 574636901, 558445752, 936682400, 365476516, 955594632, 129417742, 287640817, 755116368, 211028797, 284622888, 460148494, 278417708, 747896528, 959979600, 52347904, 468664021, 668098190, 178468240, 212440378, 457536872, 83317756, 367541293, 45815078, 821700934, 226374771, 405427776, 203468470, 525432368, 697041097, 878138151, 800263551, 422160301, 673741626, 796808293, 936402809, 516169132, 578193752, 48967098, 305133504, 519921419, 303358112, 302277149, 860037263, 331739118, 251834639, 681478197, 69524498, 638683975, 979972053, 83179028, 992175419, 132347387, 653548081, 252770919, 566825843, 537120507, 563440436, 915705427, 150125138, 487477572, 695675221, 257871215, 936637989, 213038009, 420818744, 102340823, 490224339, 104540989, 429620596, 488217832, 618241335, 263368657, 208178493, 12656915, 226301817, 579690099, 437525627, 730471811, 807381802, 502291137, 57087345, 770850407, 720563914, 551926373, 721227768, 411716355, 653223238, 619272163, 703732323, 913201082, 203097163, 953305689, 446216475, 834971408, 140150400, 784580486, 287153946, 166384116, 184461532, 997697827, 715435092, 909805532, 116036325, 301482013, 904281551, 253632579, 260778270, 732953283, 911561950, 927555493, 764405091, 864188781, 858491089, 338247600, 439969305, 108181624, 616215446, 952627178, 485712980, 530233813, 773032350, 796087558, 693829210, 892534993, 195611180, 549985227, 120545299, 986627163, 648915710, 430118229, 401773568, 518695409, 522303580, 521200064, 459573665, 46205646, 244694493, 706791537, 546897494, 766199773, 837214879, 183208372, 841896853, 19164614, 501483054, 47034683, 21126811, 11466994, 375253198, 520340304, 30816161, 871991497, 668325563, 904812791, 146969289, 724403480, 147549355, 878258453, 494536387, 143054553, 270512101, 88060187, 661606791, 537175661, 537649568, 577045877, 926110588, 415697537, 613043118, 987409038, 291454344, 527578521, 176708589, 245275724, 345758515, 547432103, 101757866, 94632346, 957630514, 906451498, 642062563, 182260848, 57525291, 780274072, 575651658, 76640948, 199400711, 897729922, 697697653, 199556364, 429479274, 328497702, 873839638, 142527996, 203705833, 417561122, 484111084, 203216550, 897917032, 302398380, 400501993, 266678110, 894837846, 612299932, 809230351, 433577237, 442926805, 889969425, 815903584, 415341747, 807110349, 164217573, 844063373, 711626795, 377370379, 156244635, 894197295, 579596616, 286625420, 510754596, 774517766, 83798465, 776896517, 947867479, 540909478, 710908554, 551139106, 975495304, 813874578, 585430929, 818186404, 159539853, 478908433, 892422638, 387067082, 793858278, 590144539, 266614725, 843893829, 849840219, 443475922, 813577456, 254783140, 397313325, 575872401, 470275326, 204661822, 73415800, 273405868, 898678826, 300830628, 239149688, 706391567, 596545640, 810034994, 787084644, 843859430, 513265632, 373440212, 112064910, 697220977, 399304434, 973369703, 526028940, 242617561, 991795768, 995590828, 427415979, 798668023, 510514058, 148812132, 903439542, 899872756, 903545712, 43926251, 711026041, 954892974, 683081780, 468071581, 357607931, 563861743, 504844890, 319480376, 737069045, 308225544, 838281808, 743281821, 852372975, 610773857, 213637643, 863223267, 9421902, 759375075, 497446434, 847147110, 336300724, 461918508, 516373509, 453829632, 507297300, 95817747, 463389723, 226361518, 944418704, 473105483, 1527779, 529938978, 236585930, 541762011, 551867197, 960165783, 27081612, 121164421, 344605869, 223417372, 859607334, 202698258, 389222938, 817968970, 89250665, 860972900, 967039504, 541183532, 458256227, 256052562, 274704336, 626036135, 889993317, 977550305, 286490719, 950296491, 454054345, 666980239, 618286493, 879706816, 17716767, 94531918, 313995279, 231159396, 267325271, 872465324, 266501164, 951627183, 971070863, 837657732, 5374977, 883714029, 580020514, 141173494, 108991354, 861658220, 914643906, 505193627, 989350304, 495682089, 806054513, 949735837, 120431880, 352965807, 897069118, 289083241, 968510870, 728267628, 167609296, 441844469, 96248380, 833750665, 840465737, 557464208, 496976525, 888557258, 557079170, 401610993, 889317974, 136220416, 142567249, 70584221, 770068981, 472260082, 249852565, 368226378, 98484400, 15798912, 146162118, 31975181, 799183742, 191355821, 507046224, 794572734, 415062640, 831080016, 517321774, 446918846, 840566947, 125702654, 590179266, 809761059, 298487296, 31622693, 348549270, 773320262, 869766847, 157175907, 915369349, 272073512, 19034270, 655464547, 179223368, 977053451, 646395281, 809725086, 73706101, 772144321, 275638864, 115094120, 625844468, 108142176, 893514685, 799726753, 845793799, 493926696, 855979954, 861480416, 41441872, 432743455, 598794099, 97478927, 399788796, 958201080, 509400797, 618698509, 790524978, 882242602, 174831825, 655391951, 812590664, 611676506, 186242081, 909394611, 900000867, 664604597, 414145815, 16208849, 638803672, 801436941, 467400904, 300147197, 586386640, 79902003, 980043479, 706693141, 119503701, 363057655, 727633406, 276448348, 953918554, 487723756, 294977747, 945302675, 509623863, 297228199, 776603487, 759415145, 637534440, 373015984, 959469054, 334153534, 993112395, 372226063, 264698150, 220360696, 434942417, 324320465, 378520103, 500931840, 892977552, 574509978, 506485282, 734039431, 638935762, 322164552, 608016614, 392124708, 231644165, 746964540, 74583030, 459745720, 450579642, 758967766, 38281233, 219532041, 322709463, 898136470, 578656799, 283869314, 601566489, 745863301, 88139288, 395854420, 61088540, 787626705, 235893245, 171771551, 878019312, 617197601, 495626450, 350764946, 924707455, 54949103, 332359554, 243213712, 479902117, 683012595, 149302909, 117260532, 66804229, 623510732, 134619558, 15297747, 57585451, 578946902, 275355572, 749723880, 184754230, 39937725, 964452393, 765940992, 281303363, 382733425, 713117284, 333292058, 9986507, 548334795, 499935347, 706437490, 941436442, 185545079, 398808089, 954212374, 935308349, 668933747, 357978719, 115218609, 331249665, 262813627, 882235884, 300798048, 436082707, 465053988, 810567423, 533932226, 148357548, 980613483, 628555460, 750662000, 46517353, 105929001, 245055160, 629080519, 216815656, 119411069, 773966705, 302905776, 861329884, 152507319, 286531793, 969541736, 186459772, 371556685, 216445422, 639405852, 620271226, 337057501, 558545888, 389255095, 907178897, 552689190, 231180651, 929859379, 178092341, 908647647, 520783892, 723496518, 129584616, 303905254, 181453841, 137434685, 605589113, 754609274, 145491282, 661832805, 471044486, 607362589, 972763723, 610486665, 956320498, 342370159, 965320573, 85583333, 52584375, 603543279, 640044567, 869501421, 236135960, 992640951, 228473795, 798857839, 515731563, 610118402, 93976213, 482335623, 933867184, 891395091, 678588782, 144298317, 480244966, 978082757, 89026779, 152629134, 214973733, 18246584, 90880035, 163903251, 705622160, 613122215, 382792552, 405463394, 62001998, 183372477, 884705076, 944692426, 841304619, 853975907, 143949907, 387032322, 750614322, 229800533, 186833229, 674937824, 572624868, 338691328, 468158772, 57709314, 653555002, 477777335, 899463806, 647068391, 719143299, 999571506, 118352181, 702689888, 705744067, 347303310, 13831087, 623347257, 913085005, 982166867, 519761203, 791527702, 589002666, 860380423, 513184780, 91873923, 947471826, 221916558, 205560938, 365275377, 212701267, 616285264, 769492665, 335809363, 865581593, 628975548, 303655284, 406081981, 559724811, 837011703, 591830558, 76829321, 960928299, 639602228, 952194190, 826625327, 744426466, 670501789, 415533635, 587684370, 282261414, 4300707, 622301382, 55038870, 35990469, 54921783, 558281322, 365364612, 147843427, 341510324, 893934385, 521108668, 23059992, 316331565, 689481910, 609366468, 450156720, 531858890, 383379745, 906159452, 101507460, 113019745, 210466778, 405650227, 38122283, 116990067, 270178820, 224368253, 385361073, 225183903, 133206972, 963870667, 419150888, 24158292, 379431466, 242163178, 365924029, 231491787, 626778605, 955941574, 521747901, 414564013, 430971213, 534382035, 12661998, 672485075, 700541287, 53505652, 161289397, 763291328, 99921887, 323823106, 656615764, 844924584, 797064377, 542785177, 675521733, 49629005, 553511212, 435787776, 399463766, 747127122, 121166355, 300244423, 199995943, 20728135, 842659864, 247291715, 785349965, 542191801, 752249527, 547677993, 717842517, 870515210, 399022711, 415433793, 179880231, 898051335, 50914259, 920103010, 915339240, 718353063, 191510128, 50626020, 208493820, 931119991, 277083900, 787672570, 203265068, 549600461, 411131906, 87869401, 245183582, 224464359, 483768091, 905693722, 846874659, 639459170, 601649048, 550105884, 982475937, 437693911, 696621056, 841943728, 918891036, 87696158, 575997747, 318893366, 267072292, 15799069, 747869880, 863878947, 776862807, 850623909, 463236545, 497932982, 146803223, 489814231, 943467622, 115775767, 315588510, 934038526, 374392113, 771917541, 631932532, 154008664, 905019369, 347608640, 620737388, 272009292, 710544374, 597325103, 777519043, 257174144, 621611843, 376804255, 285022176, 255767850, 739200421, 615337076, 762436815, 358487743, 559826208, 967424982, 277167634, 132392810, 458777184, 490286676, 557858486, 474843625, 326842365, 912976529, 1772911, 513084242, 850944001, 572898304, 718248659, 515290696, 107116413, 152435449, 252937676, 730621367, 849525019, 913975423, 319069088, 945877399, 49232863, 638388085, 534796961, 289761734, 392985425, 147491049, 500297018, 428829208, 557190085, 753200120, 278645015, 149344789, 198546306, 228373074, 266527267, 366504096, 891139688, 776063938, 592524046, 15623342, 915503829, 460961070, 368119931, 418233441, 234586214, 953424289, 467728520, 549309610, 60783529, 329518423, 452011368, 731386652, 18801987, 955816316, 177048398, 891755010, 738101430, 886390572, 932026239, 311723479, 592802192, 26862749, 732520170, 460423782, 910459760, 572196093, 260263664, 668400746, 746381845, 429429508, 343606063, 303556673, 156285634, 166724299, 320907010, 35434550, 636956689, 206431964, 528698824, 677100792, 797274590, 762926653, 196839497, 659284630, 135308669, 760849921, 389314515, 420468477, 187846650, 743793220, 632138865, 548895918, 77553709, 761140630, 396661975, 210008634, 471704282, 630866309, 427854917, 560008390, 112139405, 224128300, 870052165, 203007247, 178218504, 593065188, 311773465, 843264111, 863637453, 576983867, 672137099, 375606766, 513249163, 576048274, 297030427, 223109128, 124504477, 355410316, 581394080, 310219432, 707233072, 924903041, 816431525, 285119506, 283502295, 954009333, 504112778, 576134972, 801160723, 137616696, 396600015, 307547683, 973448058, 331279303, 368001390, 280293146, 253782850, 583639868, 992987950, 156179994, 50733967, 395432975, 283921690, 90418343, 60601303, 875239499, 564178350, 677852843, 565704633, 505857408, 418398461, 967394873, 545944896, 76489697, 544536296, 922855937, 579990147, 139594330, 660807744, 349618723, 104406354, 912771398, 260406988, 914202177, 850679865, 310031188, 153055098, 294744130, 47121286, 179046424, 801108209, 160964729, 666134698, 744346568, 554445732, 625484056, 471180832, 510282473, 797374080, 974905583, 191218348, 272344806, 410328844, 124518793, 912246473, 693916134, 599007824, 287549821, 84720114, 778874609, 868649460, 417812467, 85192026, 730638490, 333771548, 428844292, 205146835, 318839122, 262809544, 149481760, 324915185, 598046934, 45139050, 531175725, 592439203, 643898432, 996082917, 650674191, 317402339, 269798513, 633561405, 456448079, 491677825, 749057285, 29084824, 352175499, 831685171, 61526259, 288511375, 55704263, 225084032, 118130013, 392454528, 654612005, 199101710, 432612736, 277125387, 885937576, 85937817, 905866763, 125766569, 734124951, 640443647, 631231152, 528408077, 756308651, 608894852, 542746417, 399476487, 587993006, 314996247, 277069841, 161000197, 730906723, 37689357, 692585705, 487890944, 744413486, 557049054, 383132495, 52841388, 615879504, 253987563, 917362696, 144188443, 179300638, 716394815, 574063746, 933364097, 560533115, 707056590, 505229475, 985596027, 497843829, 490326213, 655546820, 347486070, 926407851, 80230587, 992106855, 280390747, 888136061, 27895490, 467368985, 240434463, 246993006, 791624750, 858514565, 833361762, 657727886, 595712069, 281229208, 450477234, 95183191, 647022609, 725160869, 399099420, 116930593, 200459363, 880806946, 900243092, 491200449, 473295037, 540086306, 765655459, 295258173, 344238937, 78243922, 656477947, 372754042, 418453062, 370248261, 467900501, 696490739, 263457432, 874322166, 598303607, 287744504, 674970062, 708528246, 372068490, 101895817, 690621023, 349422252, 231612541, 497517743, 605595783, 532179645, 981389639, 592561266, 815474675, 539566828, 102455061, 591858828, 126408893, 336044076, 866657144, 157169176, 930996847, 100539211, 499389296, 109260986, 891366579, 930224964, 98828757, 96236247, 398061676, 414446402, 938490885, 56893574, 700392215, 110946570, 981096212, 719586090, 699827021, 19835259, 720802002, 174217437, 776120075, 739541791, 869122103, 156894679, 777605994, 711748602, 327903595, 921471339, 189185986, 406838333, 563585847, 717315085, 840868281, 401126440, 623557179, 765435289, 130312295, 43951268, 677666913, 895538548, 177962823, 201448091, 230315326, 365958700, 972727586, 326172513, 868946635, 44652887, 379925712, 327350523, 700184464, 300519822, 644604260, 740145919, 661365513, 333698349, 514035114, 859527213, 271711531, 683933935, 629303498, 144506972, 470515193, 162318345, 361468988, 773681403, 951061808, 618054892, 170325268, 541789267, 879940958, 835631004, 228332363, 285941, 893489786, 707683348, 95338226, 306290205, 802405981, 293220340, 967511979, 593726390, 835193546, 76873636, 239104489, 98862539, 730794137, 483217075, 565334732, 620839406, 488761639, 306143438, 443844020, 191707075, 673806132, 371244124, 426322917, 690821801, 126313746, 368560425, 293999434, 238721923, 198407199, 259064807, 477745889, 669810485, 396775991, 917671963, 15555009, 961291894, 521275086, 118553165, 376450715, 436208891, 754192196, 960953410, 691003753, 277420959, 48223675, 895557693, 478440090, 845184988, 812492659, 716399281, 27282094, 594466981, 147543633, 191024744, 290864892, 192183368, 813367972, 563033685, 586187140, 196464330, 850801020, 300870970, 311947313, 681362461, 726142239, 239308072, 84012810, 241603802, 399718378, 901032097, 788930297, 975620475, 310650235, 137819782, 395221412, 242337596, 136332832, 262323761, 428955394, 616825046, 272608443, 942188421, 351541622, 373663972, 366026932, 569044135, 828867394, 839860756, 483606735, 140373407, 144133406, 571177100, 864133331, 483809534, 352462943, 476034081, 529590755, 811034676, 746270821, 63369749, 593688894, 278165128, 103746320, 170691917, 19098123, 596619039, 733097272, 370704721, 74535413, 940664464, 911538679, 943462332, 990306562, 793048101, 883432874, 203865682, 812420040, 306138712, 15553831, 37449603, 702612837, 841902965, 553941631, 52531429, 87602367, 800571677, 156944672, 340656687, 918148385, 756066090, 232089177, 797358606, 11236890, 848237973, 346750968, 670799950, 366501871, 73330622, 463396541, 52145811, 379061612, 356916657, 610924441, 566352168, 725712905, 525071540, 206556595, 298352204, 44052589, 265974787, 275331917, 695797905, 236938505, 970002970, 134849121, 669972523, 434179031, 347090745, 618225984, 282486983, 394331970, 395437230, 891404949, 239975401, 381980526, 698192817, 57060436, 912971099, 1104871, 688263907, 769198324, 739575598, 532631463, 277667949, 488947190, 810198691, 112549138, 179305582, 607773893, 579013424, 631392285, 308428974, 389438297, 591531061, 180081068, 520212290, 92817517, 984792271, 12197746, 133241620, 695914295, 815965749, 112737698, 860534153, 788005873, 868408275, 54048520, 324533105, 629384182, 11898576, 392656807, 304838938, 413892374, 605813142, 312625830, 879283147, 192493615, 636534893, 463717629, 645643993, 830319623, 907497711, 823984702, 86873495, 920329741, 491053552, 423509659, 557383937, 778140718, 991559738, 646331066, 642645796, 886317432, 601782135, 363069773, 633534588, 680004349, 5506516, 352975882, 248267268, 834087074, 5575808, 427613276, 221977159, 957545479, 440878596, 954122460, 566713065, 38054480, 807511120, 782891013, 118534672, 990036140, 756153848, 924333944, 831527806, 61823242, 506972240, 613113528, 952310587, 556625734, 683356635, 696578339, 308493989, 228232333, 254453124, 84225461, 516290794, 618679557, 63691765, 82224094, 189056772, 651814557, 310067314, 411763322, 313912349, 771320262, 585579114, 835544241, 566485107, 199009778, 811706051, 49495028, 770981261, 937563672, 126680902, 307838732, 735950129, 147051542, 783045385, 425661477, 809741678, 332129043, 916678174, 916297229, 41482767, 773422713, 509037150, 162414232, 859539910, 382275890, 768158897, 851882864, 572779052, 707660612, 759552950, 859138674, 744382295, 598537750, 463579059, 928534585, 927950208, 27660847, 393383234, 969474592, 847359283, 88414963, 78209647, 309163297, 209855851, 475442276, 918685620, 16036468, 908610682, 793486974, 220496231, 876286281, 827700253, 338635890, 597355864, 478125313, 566259565, 115026999, 152905599, 303008714, 684090569, 743078996, 365804458, 737716842, 581805374, 626757933, 987982263, 827845161, 670029535, 498692509, 370595370, 487234609, 269344736, 43501911, 354128066, 995753311, 925192574, 473304733, 475029048, 917514567, 545020447, 182588338, 316642599, 540035951, 710961242, 742498418, 200711020, 482141596, 528466631, 164571917, 364449942, 638092211, 928867457, 678394005, 117255268, 543985032, 21121661, 644159109, 690671240, 514290553, 751875578, 775725131, 968972849, 410235833, 735133656, 715008253, 364031466, 207104415, 151283030, 23444391, 216083821, 73608470, 467491573, 420886604, 50701033, 831624965, 901547242, 306395377, 920532100, 512930979, 584219632, 262671541, 816160110, 500472581, 359917036, 85225092, 37667080, 874009806, 333750265, 474803208, 939582417, 490443030, 645950492, 283156254, 333587925, 256037181, 926248492, 468107860, 989910206, 434995802, 766214484, 370383737, 785508012, 409728347, 608335758, 510392824, 920361764, 969876396, 636914114, 95252305, 100191734, 36173505, 27805966, 834499176, 660561955, 312717301, 601214298, 48976578, 472893250, 854365496, 687013775, 773108756, 524092691, 983822957, 563185784, 733135463, 169468789, 214071123, 152554683, 467244838, 22667157, 361612776, 242948948, 252024594, 264733615, 278320296, 966951663, 731039245, 197132228, 205967878, 396124526, 572104711, 194711647, 770982717, 649778360, 478972332, 485678989, 126031989, 747808032, 102685464, 897423638, 654318373, 713286421, 42805601, 261475668, 940193704, 608088613, 274559573, 880583996, 877527645, 30940592, 893336236, 369814210, 683937337, 769666312, 955283060, 63840162, 462408574, 843128182, 161046360, 698061185, 980141729, 528676729, 919743605, 891850484, 644700472, 976350749, 96713437, 278410059, 725487639, 872786715, 541185537, 272754980, 677276423, 818277073, 630709988, 552477150, 587882654, 59769224, 176952810, 84975297, 410928016, 892029106, 737940824, 67810171, 195073261, 195157966, 699229991, 936830384, 180098283, 692177846, 985614429, 132708799, 47802949, 849189905, 396463653, 724340207, 603195581, 882855528, 256420034, 907230641, 114614650, 865378449, 54887380, 380315265, 295423966, 594675328, 942021674, 719211937, 282157453, 929531439, 263721499, 226350975, 130912517, 361019368, 536655775, 634210679, 956542764, 395242952, 381757080, 896676803, 803874536, 39789419, 534445837, 649318209, 934512768, 866084407, 141057543, 89557182, 204571306, 792224623, 110354180, 837562932, 781192414, 759660174, 172855296, 138540970, 143289602, 940477484, 867244995, 319323162, 16774888, 59612102, 807984357, 373157449, 983604742, 942405255, 370545574, 265235934, 274414353, 645346254, 856009522, 394825362, 66481913, 222543930, 786061006, 542800434, 346806501, 189450334, 826953360, 347159917, 518762996, 836791944, 998740850, 712499532, 315831163, 757727979, 723627023, 387537087, 405816256, 577825543, 69360811, 61929574, 620518498, 786880442, 843535719, 215843910, 897220267, 511761079, 956738162, 912015716, 122989910, 628348925, 293239366, 202666848, 347050567, 686699606, 384236781, 345352557, 819954936, 216552392, 531106131, 249911840, 555205344, 366954680, 819926029, 622726900, 185122681, 441409960, 971546689, 758698717, 209327028, 277196068, 651920682, 852911804, 851535604, 253828078, 784488503, 813762030, 774332440, 367309249, 152868437, 75282501, 164225170, 672823555, 1230038, 267859240, 158682053, 252715353, 911371111, 922560963, 450537084, 319324917, 703164389, 487141598, 827642598, 614296453, 193382142, 740785872, 168669451, 215317641, 553899248, 442078367, 843495411, 991934280, 500692530, 582647689, 932908371, 603150283, 475490546, 863569191, 139042763, 631362140, 773855432, 9150349, 129297103, 566197830, 153907030, 932373923, 906364255, 888814144, 426871596, 68518236, 237186696, 851825653, 156323578, 691105797, 822812352, 564102818, 216579488, 834504136, 800457605, 498649279, 563118693, 325257047, 27007110, 446704535, 519911842, 101115933, 481204166, 343590592, 543798202, 459546572, 236313195, 98056285, 548627976, 53277049, 718833042, 394320418, 765983229, 616782805, 793202281, 972154404, 313073578, 602423570, 539068897, 525574887, 870524230, 571749019, 172333482, 231328568, 145138809, 177214316, 322689601, 291869508, 676869190, 358501339, 96898989, 157525579, 981044687, 561850784, 963306212, 241399009, 764667128, 389517295, 967327681, 783301124, 180762432, 159116051, 53140745, 873628167, 704300289, 907604399, 403961346, 389835228, 498822546, 40954945, 200880142, 33479471, 294838480, 710211435, 100342333, 602333477, 455056551, 781881911, 308254759, 508430053, 5811619, 645688052, 723960366, 189715197, 318809790, 778488277, 670258603, 31951275, 927419314, 533290433, 321403497, 523285899, 52449590, 966096408, 177759055, 865018282, 81622668, 53304684, 779766787, 708840784, 953969764, 876506150, 516318203, 650674743, 700953952, 88103930, 957683302, 419298108, 830577308, 975580626, 827142080, 320387144, 526836597, 29675036, 638043948, 876121399, 537475455, 838568518, 75527340, 526262929, 896382073, 323725624, 466350507, 780919481, 430973228, 663369859, 553516764, 530961408, 277393522, 385454956, 222951035, 897813165, 665881060, 714712819, 950662016, 988133715, 175817449, 67193695, 376682613, 43277371, 657764447, 903101183, 343298758, 962624195, 415635200, 351011256, 723966447, 873769944, 388429630, 13211224, 459591479, 44341284, 126689855, 53775432, 540743190, 618571597, 119466451, 541598416, 99115196, 56357955, 413990134, 47114026, 937861216, 309558882, 577017282, 889544058, 741327943, 687227320, 650325684, 680958775, 759428777, 332205975, 78157991, 666818073, 582620429, 356943533, 411443297, 432838758, 816701474, 820291493, 847076025, 340500498, 91072411, 835370134, 512167732, 93246501, 358154151, 463171905, 401954336, 950885536, 718594046, 590903248, 277825683, 892830411, 390166379, 246405220, 433094069, 148845067, 232825918, 735310337, 432196201, 690821613, 388400107, 304900480, 442482405, 89895880, 977623098, 42632262, 306259543, 156945412, 721975735, 36244449, 626415551, 489809637, 241735711, 967709573, 178526721, 678570076, 73046032, 741033635, 792940510, 859190055, 841603056, 101452188, 383715960, 319715800, 86082595, 729369540, 868398080, 275258298, 20806708, 788471862, 988070579, 904501400, 338957186, 228987994, 863180072, 309462935, 681344246, 52548574, 620255515, 610051515, 229579350, 949618550, 815092042, 15544693, 990598730, 745206334, 768638460, 341951176, 246999699, 697590418, 731754856, 897410496, 783602124, 993543742, 843978476, 77242337, 151664580, 767954544, 265176803, 135080949, 57778153, 15989824, 289866931, 763187548, 218544593, 368851616, 490372082, 556536560, 659385009, 644648856, 624934009, 852920475, 178585496, 93269012, 792279158, 626340418, 551593359, 828850068, 222906042, 90202078, 356581464, 823941997, 340442656, 962443689, 306595059, 938400478, 492371426, 646455238, 377297038, 594095724, 109499173, 824210190, 43538918, 963847913, 435756906, 317075841, 431717018, 545368972, 289110758, 121606890, 230597099, 615996798, 634782985, 296357464, 247311045, 150859256, 556781281, 501871284, 800756672, 225363557, 896298536, 916710734, 810603388, 225785540, 217332984, 206577415, 688636890, 197320106, 936177002, 489409898, 624688510, 15647597, 88954419, 412171864, 50788299, 781072320, 340716411, 42999228, 190020789, 100972794, 432571848, 679114552, 603703787, 302924522, 332843169, 644145079, 560866840, 972035087, 858543619, 936276974, 929923683, 725480141, 473141804, 972352876, 154679073, 281581319, 686767561, 177096450, 221606952, 482362079, 462058513, 145474512, 857278040, 187410810, 764104147, 399195264, 659198386, 937506584, 917357643, 323730959, 300884011, 866312733, 59161809, 588259172, 274069139, 255213666, 582434311, 794716601, 376594002, 700150452, 812245969, 472467418, 238748949, 289571551, 797979105, 90676458, 922872360, 458354469, 153918366, 466901206, 185573410, 720109808, 853347799, 600897957, 120599403, 767167948, 473012115, 758560286, 310257459, 161937632, 127245634, 784637798, 8668123, 629596857, 346645041, 769340481, 161101631, 489576036, 853522805, 718338868, 451929074, 260756934, 518247939, 525530986, 248032360, 659303699, 328496966, 291402796, 854196927, 448073951, 724520338, 837970643, 626030502, 475092838, 531889594, 717769313, 313796626, 64032398, 612360496, 313452720, 336533847, 279346835, 472096512, 209723547, 165099060, 288796504, 963924989, 900188869, 602907121, 13936698, 403960352, 317593859, 316591141, 806742973, 745423713, 802654433, 993442541, 546609605, 193435676, 602596315, 635340616, 67957998, 480932293, 818607463, 412768728, 223145945, 144487039, 387282628, 833313625, 97252252, 707135113, 780621754, 30927757, 855372443, 965059448, 415807168, 755798169, 838249432, 199066597, 545386750, 905468221, 844429459, 147588490, 432917297, 401383514, 729378535, 610922360, 246774922, 540541383, 203352131, 78353121, 767430862, 902524987, 477063845, 838043718, 906869364, 152354697, 493099362, 127743859, 544889534, 693951180, 524113252, 16175367, 302078648, 948431688, 740840648, 920866508, 915245961, 98793287, 606943341, 712694501, 427104626, 663725009, 460043604, 805269167, 804683304, 87338534, 539643585, 440225615, 484916745, 337761147, 621600906, 547105259, 523074099, 844047046, 314783860, 289374155, 778508458, 538209616, 388854342, 342280142, 123186818, 759325582, 160844114, 124321021, 775467813, 808122631, 273677482, 518086767, 990466808, 496801143, 754694823, 974740016, 885653911, 578336499, 654342763, 644257834, 655163207, 401621333, 176021798, 287926135, 43204708, 831423388, 321357599, 143685336, 134204116, 236698490, 668535058, 369570131, 436149821, 329419385, 540431909, 243946530, 810433653, 143248083, 709237482, 128323008, 275571363, 835131299, 431633455, 3137859, 434789999, 526274777, 305083313, 179386838, 806655088, 389673255, 149659963, 155835821, 107441218, 882276540, 54952432, 846956364, 501596261, 213629046, 838734053, 931539474, 81321963, 742889824, 401903147, 354305799, 604073447, 291506371, 232742838, 183490737, 591568244, 975373824, 344935720, 649512796, 915607973, 199640661, 637585586, 256401026, 868336324, 696870181, 313834403, 194576840, 372391102, 56547008, 559313365, 73217677, 568692122, 2737266, 399757504, 426127294, 613535367, 518268268, 851191055, 856352722, 928902439, 132977089, 734024529, 185110733, 115191042, 391229883, 900796327, 848922482, 360840917, 444861647, 152573478, 657920186, 480909196, 419994257, 985967052, 493396870, 543167596, 404058236, 610003986, 689301469, 956190190, 3642622, 322806197, 632511215, 984662546, 739950445, 108944566, 398244127, 65370022, 455851812, 696124046, 276407443, 540438809, 870275117, 321188772, 954332780, 993193066, 654465384, 507366353, 264459737, 763856328, 978147303, 637992358, 71127048, 845497107, 78207973, 63046799, 925882285, 4678668, 249983234, 766543285, 967521086, 324393253, 458584729, 139191645, 229830864, 699518186, 108051555, 503749896, 171193052, 570336694, 848971477, 590789341, 164655376, 274264200, 411327140, 748563986, 859007589, 737746812, 293856511, 521586832, 108237995, 485790990, 485020165, 788008671, 494001489, 323595632, 973256087, 768385986, 596104068, 317427254, 910436217, 424723997, 830212616, 480918870, 970926712, 160933902, 642444783, 110918310, 797368988, 44893382, 207597971, 835605505, 608645587, 945869577, 894817945, 153569903, 228862572, 602188290, 750639212, 547110227, 268501203, 506082177, 477409251, 763523760, 240418075, 956728620, 59558283, 943872697, 480843629, 592139544, 284917784, 523911111, 702010549, 336778047, 221783608, 72742646, 166667857, 325639320, 995350168, 894633936, 349629171, 257170309, 476727980, 12387856, 946814259, 531660713, 499214500, 136626082, 616992215, 295496237, 726388216, 555249273, 64982015, 346466020, 415262015, 594299419, 178516571, 623585953, 113982326, 840622394, 833536949, 272136155, 813797179, 499936856, 760042666, 307721873, 60810073, 894985141, 106370919, 54447832, 882944523, 194613383, 820374978, 484794694, 375195469, 737743548, 737001698, 133788582, 65202996, 586717815, 717281852, 437187949, 142421237, 64276113, 646156054, 898318102, 200292977, 154615367, 723728563, 265624535, 420202858, 278049583, 272752942, 796041896, 441014103, 297732232, 539720736, 300425584, 53309009, 711490559, 640327592, 244413655, 375655484, 476701381, 567254973, 408757339, 810428487, 265126937, 124486577, 901884481, 232814226, 638133154, 942757132, 910805816, 293361528, 616013719, 139945919, 562186919, 266744048, 653630512, 56851206, 60951514, 676913292, 565865689, 724660163, 141868000, 149146142, 277840828, 508009037, 808531970, 511304672, 103609052, 709515171, 513528138, 83045695, 816914904, 686111342, 448476860, 874642883, 125084247, 464592964, 563092022, 638999481, 1604651, 505929596, 462580833, 167097441, 69912596, 4997298, 727560348, 882106167, 630735045, 697050309, 868899940, 895984747, 737782465, 73821733, 499757138, 290822470, 831392938, 374740277, 454200764, 379740965, 197165590, 792792255, 630486528, 121254878, 890423016, 47664943, 919643171, 725812658, 705042144, 199915761, 330011065, 118291944, 8464491, 184061835, 466566699, 772108671, 254161855, 986055577, 59417387, 829626253, 263991003, 556163962, 572103513, 935121868, 822714470, 268921629, 49947668, 288497195, 736012263, 477669661, 318533621, 276740459, 340309788, 89582039, 685085237, 908705857, 661282170, 387404597, 221894240, 517162683, 837768779, 873538714, 126555284, 186046551, 392409127, 265289305, 133280389, 395806360, 239296596, 670579742, 690567807, 938409901, 785568990, 916114038, 965536741, 94218658, 966299964, 569994716, 34062965, 724460403, 169953664, 874333688, 720515895, 968194896, 568886977, 572680516, 778675080, 427658786, 698323601, 296533918, 678327308, 18183408, 622714840, 708675916, 124724639, 26013723, 107835341, 747583869, 409143626, 342494344, 106143205, 420382749, 549748743, 391107215, 756388941, 405364195, 28835429, 520347455, 106225697, 717580298, 608969066, 685648214, 379733475, 72809735, 560468763, 725779892, 784558702, 44678500, 197107108, 53372176, 289385492, 798377626, 524649099, 219438706, 385443054, 182601337, 602299447, 732655657, 306359239, 520585293, 374743128, 492169519, 320460134, 39853754, 724861117, 850435464, 349803196, 659613652, 323741517, 466301597, 237336818, 238439606, 129736117, 576854922, 429519199, 282410270, 908529486, 804482055, 38545303, 398854293, 156775062, 899356288, 974540524, 773860217, 822920637, 311416041, 53670501, 661247680, 970181506, 363470261, 555970489, 573115249, 625958653, 143439888, 113401391, 924234445, 905450553, 110149582, 809524990, 672343712, 139933652, 822394195, 624160781, 726770014, 859362478, 663147276, 656523406, 791360051, 799897721, 547201576, 468161953, 607085981, 895046444, 302270533, 659943919, 17209080, 21556307, 108615266, 925960068, 565325203, 578323636, 776226738, 955186673, 814749619, 374372813, 678872330, 869185848, 454756168, 196569508, 133625416, 490911059, 65783430, 140148074, 129159592, 349375243, 267752960, 55340532, 889073931, 87034383, 45651745, 625289635, 466955304, 763985607, 986665356, 673485980, 689424590, 781149041, 893601578, 749049857, 34906576, 537310413, 863136218, 351623714, 518388743, 642915804, 187604080, 655306030, 34401087, 712128353, 456199668, 517255924, 259178711, 393213645, 856824142, 675189376, 389336567, 429243499, 28538754, 834526290, 219988220, 565621489, 41093376, 166833757, 884704084, 91668076, 874839814, 210621794, 394398552, 202510634, 362685312, 426866008, 983253801, 709882798, 478768536, 72429126, 904484467, 218297951, 932147194, 926371645, 698649517, 516491235, 433641877, 575610104, 980407389, 772104505, 275291366, 454114999, 596343783, 993337401, 257481715, 279568177, 555193064, 496446775, 965795534, 472159185, 805411717, 251218896, 266289913, 898153140, 51098938, 181774214, 663612009, 803357422, 61386084, 473527014, 441499200, 204268996, 807133992, 937491280, 677280175, 406642783, 688249301, 145041661, 390205972, 323217351, 5683955, 952910262, 19173734, 419701617, 211611007, 29157460, 121445978, 165232685, 303846859, 209737183, 399600244, 566869275, 141780625, 971621914, 637419163, 257021914, 553655128, 762148360, 853509109, 760239517, 502525775, 74553975, 256858597, 228098535, 365679000, 785057392, 166256966, 359233879, 616195367, 289326620, 317711453, 321996748, 862175827, 625383592, 545569629, 15265270, 501101900, 351606395, 646164806, 516831147, 717488829, 416391755, 815129147, 129336572, 821815164, 905857882, 707609803, 867827931, 313383788, 654420384, 924716155, 398344460, 678281353, 158968085, 796802696, 615361994, 944047102, 869485166, 60206883, 863060697, 932757645, 867565160, 525604193, 85111453, 448938334, 845492308, 77029377, 892082827, 397902651, 972251226, 264402825, 608288274, 98398775, 107999466, 789249385, 309571143, 900860098, 899141196, 960237839, 785652432, 329298408, 133678965, 650559859, 501847323, 87417761, 687794779, 629578563, 593081041, 470041647, 90149650, 695279105, 167220859, 196772578, 526868627, 942180086, 134184662, 534771371, 584609548, 331671810, 155531698, 526757271, 124528000, 770101855, 895034066, 802836077, 653594644, 842656023, 216933808, 473399149, 711137627, 274345806, 418116899, 524128545, 646151240, 592560789, 455104440, 988051643, 98874901, 131914701, 858819964, 145799073, 20390206, 475800034, 330006626, 134777736, 472523623, 600914378, 640324194, 858512908, 849822636, 707098436, 853173090, 121172499, 444046809, 475972539, 118177489, 471994107, 365784627, 265775086, 378303572, 901537796, 347699826, 381250215, 365866987, 616876152, 777310963, 934674119, 357834862, 592381117, 694068432, 425026471, 401498119, 844587669, 760516052, 925100821, 862693117, 658160578, 818470484, 125285488, 935180932, 856763958, 764429253, 485569780, 158735656, 298914389, 658033282, 732580675, 639580599, 285619929, 392673711, 90322037, 352500613, 521927483, 539738653, 849632447, 195912977, 54173428, 52434977, 675905064, 621519044, 128459147, 611280970, 407582628, 281563564, 309103660, 674923491, 738661350, 98763403, 644486043, 111177412, 535748213, 178456688, 334729141, 580832295, 361696526, 775897311, 282826454, 607639408, 233962153, 934543400, 447928999, 833543139, 867339160, 562509032, 497006601, 32559108, 762732268, 74440003, 939857152, 690786118, 731993577, 921985686, 881964558, 122048537, 406030698, 948014362, 112268705, 190526896, 262200095, 294800186, 726157902, 319249110, 810780000, 765409479, 426239531, 552359108, 700599379, 343819520, 190208432, 434567719, 328256646, 180594051, 563977496, 264969663, 428831206, 339390138, 185258299, 865190447, 748465807, 175758169, 4208124, 571232647, 540071776, 705349153, 515490195, 291425848, 759811872, 805520169, 493435797, 625494037, 190043939, 642781455, 391454352, 321498528, 596404515, 505591801, 414719889, 996857182, 385373404, 851526354, 381383298, 902650377, 839468396, 817831703, 19225801, 342189827, 467571944, 678393881, 8089954, 378499423, 66931307, 289408823, 565824511, 856922752, 564502260, 434733800, 187974016, 589759936, 535576049, 156053778, 650825977, 56133681, 634341837, 329290433, 966696303, 866176738, 453048789, 339707191, 541734643, 870812987, 638765446, 320944527, 615917643, 340078461, 478570720, 395200919, 430015327, 453772585, 695343644, 534056246, 30139103, 998419430, 233963916, 408256648, 368361664, 146943775, 679491927, 78629167, 393494578, 130752009, 516661090, 829902129, 394428886, 594114454, 379200056, 227996907, 866619560, 27906234, 222949521, 968061653, 445357554, 705094656, 377553605, 177948902, 697148936, 156206524, 958107913, 416341105, 974689348, 342798747, 418462084, 453948740, 862345476, 894818500, 971480855, 417621650, 506634457, 726944297, 388877853, 810162300, 336214657, 493018432, 308344303, 16061014, 689059342, 462125030, 585951832, 711686869, 909325161, 285580765, 564180682, 159381871, 397019529, 125033427, 178588897, 143270112, 906366991, 337934824, 302704339, 56503692, 682998706, 232504277, 595875997, 228253611, 71060060, 882333542, 357020849, 411673236, 585237163, 871575538, 534862278, 453716660, 106127189, 923955529, 336429848, 295307992, 790730845, 389505660, 930702314, 836584897, 676593267, 465328217, 333436537, 269357935, 39406558, 290770561, 510526453, 469736187, 919767265, 245808562, 567398551, 476840645, 944035018, 626284867, 270196613, 834665413, 775684170, 695061807, 13229780, 399799742, 314608800, 975002722, 212359963, 537516905, 371332671, 50733022, 955211182, 321919922, 567289030, 795931381, 681171524, 110660639, 577085483, 689323073, 887177188, 392919460, 195347049, 75730065, 575308590, 763450446, 708991810, 10719628, 841486588, 920223454, 723076547, 780696049, 747206469, 235399312, 403455139, 975567058, 998634929, 285668112, 528508814, 189506557, 756663447, 474524705, 308567062, 726522021, 725020614, 262258687, 747496013, 313209184, 279765632, 870981776, 491522212, 965961267, 443138652, 247215150, 103039056, 291753265, 526969030, 284771233, 542025393, 715861943, 686531003, 229106415, 17306320, 775333142, 303173853, 408347462, 617151027, 658889792, 642987575, 99759956, 453639086, 208935770, 834317565, 251328452, 62088662, 214311744, 252693214, 796753593, 603158273, 795910626, 381866713, 875049915, 299855583, 26796427, 995261413, 977948826, 85347387, 50693364, 723314368, 169705513, 78518769, 338004922, 461357498, 525434776, 301919126, 213309618, 669393286, 860443166, 714973382, 303089605, 210978771, 661869884, 793447178, 753865983, 610363200, 296599351, 365509569, 944793031, 902485884, 208889832, 957564080, 561273570, 549266265, 787643738, 193130431, 699632743, 581522860, 841095037, 511305421, 188239334, 485458510, 829780300, 206038873, 94972523, 733620101, 931989605, 456947955, 22141720, 449206925, 189778031, 445131687, 494639334, 194733433, 617890442, 646842365, 912301828, 594173740, 117873108, 788251814, 910025252, 356230451, 105127475, 541846892, 277955727, 204421231, 666653071, 58086921, 945701463, 982302812, 300391042, 131182463, 118322914, 427747055, 201233722, 813626283, 160125414, 283682284, 655219220, 576413111, 46915687, 871708661, 239185973, 265808326, 191419749, 246805811, 913219225, 592862050, 447413946, 293599766, 702752882, 891428800, 722934609, 587872700, 886958603, 599203313, 663383933, 813062860, 105743090, 794669998, 517796660, 896201981, 191392234, 675817205, 311710795, 442360593, 193719911, 820254291, 203226041, 572094859, 288894377, 902784100, 884322249, 178325640, 54440734, 793723255, 845076001, 398349722, 512832904, 141390358, 305682791, 840087697, 830512874, 894191021, 201764948, 841049275, 679505429, 424893202, 981061035, 830628823, 838888126, 18331805, 842405636, 330998004, 469729597, 240777782, 184195169, 938499026, 592202073, 887556894, 787408350, 516696606, 321641263, 996341223, 417034105, 673173549, 63561355, 225321493, 89143979, 757598142, 411181452, 142904570, 260155785, 512411045, 49799876, 1476666, 994866743, 148629251, 328341302, 222308253, 263875691, 182464477, 908466702, 636232771, 775862025, 274823873, 806845316, 969383372, 261457522, 156449515, 757475300, 184319976, 944841740, 137305048, 610271382, 46681366, 170802223, 111678616, 370272733, 8368336, 950163906, 547420321, 636624270, 126758613, 892760073, 635170383, 530963466, 199814110, 379281415, 78765178, 324001909, 505043921, 93425771, 510834232, 143800369, 987117703, 431046710, 850913935, 174378698, 323625660, 399319005, 826410753, 154545983, 225052182, 510148024, 404186794, 186700667, 152542711, 23699799, 709910676, 863669688, 462735961, 614203064, 713291034, 830499772, 339149652, 284875556, 308491292, 466545837, 427536830, 798395949, 531302424, 283654336, 121242552, 41643204, 381164628, 204449576, 575821928, 192301967, 608711724, 934836920, 868121146, 129875372, 577522712, 622646982, 58813729, 296635190, 81035425, 254151878, 993587324, 815270728, 77271901, 380157581, 971522559, 484845202, 922284634, 430399751, 798038903, 972003681, 177194969, 643146642, 187059252, 114589680, 518614219, 369259915, 334631095, 531965641, 566659870, 631608090, 743006179, 600544954, 659718275, 769859011, 846880655, 943264530, 515796567, 803104440, 635810146, 159060670, 738678137, 669396473, 197650020, 796899563, 232759414, 488057121, 375357953, 448580537, 752253228, 169513716, 463296522, 352140403, 947011520, 531872899, 959037290, 817345344, 698599503, 721632651, 114081525, 380636937, 65150967, 869082887, 320845218, 29229435, 604028497, 942531185, 975120933, 720989189, 635825996, 707061016, 185200321, 871777234, 563548610, 811952901, 902205133, 417496129, 603487083, 581055799, 189584018, 745850042, 945541349, 893340135, 54182444, 600742066, 333559225, 378958195, 669867962, 874924805, 280227448, 128028953, 986536245, 763394039, 110198855, 427734517, 953107770, 487948989, 550540502, 92862681, 867689131, 251559940, 293048614, 282026084, 360689892, 999286919, 268081865, 287227810, 940148688, 471316912, 181131666, 232666076, 188074824, 454813949, 970740601, 303568794, 467462736, 477031739, 669338548, 966128379, 722811079, 800735784, 6538219, 535275281, 402462427, 247591480, 613588854, 633484693, 201695730, 882920648, 507940102, 875495940, 371507512, 778395105, 836305085, 832167626, 278220477, 692752982, 672886908, 793103394, 202020296, 303006845, 695459619, 483170546, 698673619, 286559263, 893595737, 813777204, 185673457, 933172984, 831655135, 138735033, 448040911, 652666699, 204613170, 5492382, 842922450, 275303003, 544173006, 64418536, 823712873, 500448354, 357209295, 519593904, 375555631, 781686821, 383629858, 710261736, 231158140, 126593220, 568764558, 202364344, 401961048, 905025154, 345591710, 864611387, 130667493, 377945377, 576073452, 502479732, 377757179, 696281921, 817982671, 214163622, 402107446, 761178971, 65994307, 391295278, 666931448, 739356003, 876544992, 511660415, 208828199, 501141668, 343099021, 457946110, 536436818, 685991290, 279625077, 193024461, 227668906, 437952891, 195563297, 354340281, 418472814, 297949839, 709322637, 368239410, 425072301, 747063408, 183438024, 319528034, 305071488, 685874390, 708287361, 333521756, 445411404, 887886868, 757471672, 208439709, 932148833, 990471272, 892360416, 859201856, 69096872, 586640706, 813823847, 556803089, 784218790, 79487678, 352852440, 968842245, 374117984, 285778428, 932715932, 857821119, 845106740, 317941791, 554804816, 374108892, 741475428, 936875819, 61308171, 688188261, 717026960, 330656478, 443454213, 179896350, 522970004, 143124704, 951157748, 500210502, 785977592, 391969017, 340419897, 488926711, 28724308, 558085901, 704932967, 471959853, 56028894, 378345877, 788281975, 811415298, 345291851, 689877618, 560897514, 735353325, 409139438, 370495269, 302898187, 232204811, 437774930, 396148470, 942244096, 10647697, 25565753, 110478724, 86894995, 896214138, 364667500, 400200358, 334172208, 275169438, 509281400, 372962949, 948180805, 834206081, 675390071, 842728472, 518615266, 129823567, 378163107, 704119106, 635934147, 303923299, 892038575, 585825437, 691281593, 639961528, 376179961, 702997435, 835113437, 781887710, 641584406, 632698971, 970676432, 659265827, 549084803, 575666392, 797225740, 12932379, 385842655, 267274603, 880883789, 230338137, 513227115, 324570632, 22218947, 421791298, 974677136, 681905162, 785149434, 551442438, 874460584, 264337014, 723144518, 146299440, 808965511, 754268964, 448555105, 701737974, 166410046, 528856151, 663401605, 103935013, 816478583, 161000152, 222553981, 320993873, 220806676, 453660539, 411447279, 111705795, 204233889, 929810853, 586796753, 352550337, 713594001, 225298581, 10139490, 400498627, 964247425, 425953274, 350077507, 872039229, 597153840, 711354406, 615753269, 671822292, 619482799, 247695605, 954579656, 580806371, 336050476, 674162247, 227988867, 694189603, 969692937, 65699568, 2252853, 495787372, 709000758, 321929569, 562248196, 138031867, 766357780, 299107657, 254513001, 753560646, 387810166, 58647563, 454403831, 583454184, 993957826, 484351279, 729012276, 824480785, 958859210, 296058351, 800997881, 181514233, 422449096, 764720857, 217575730, 956153070, 28881340, 488547202, 124643294, 692153839, 566659565, 306145080, 153887057, 687307998, 164594580, 477999568, 718325532, 625710386, 966928188, 970847329, 762307727, 154611275, 587221436, 949724266, 8034642, 976435744, 736207794, 559103851, 546569843, 512957462, 35125294, 683331008, 17054060, 253160086, 344412146, 162972071, 459310226, 649008887, 109671513, 365167071, 744452107, 635996250, 70698565, 245870117, 425237399, 166235817, 334753954, 650399335, 113402260, 330999614, 409994455, 60161567, 788407317, 300551843, 578253985, 297147924, 33916060, 862186143, 286160439, 362603943, 725249791, 160841872, 147207102, 795761685, 342826869, 221102975, 774477722, 738484014, 290102242, 852279608, 619709733, 781661300, 891450446, 100538881, 362554822, 707244154, 392108875, 779511426, 533960079, 911735270, 829472093, 434745693, 282441396, 803863267, 914367555, 916918019, 810891723, 697523243, 589774057, 463010228, 662701636, 618880387, 807690646, 284327105, 525676001, 228130393, 417768587, 413963185, 69745103, 9059251, 906708345, 965048229, 323571389, 98520415, 449088234, 82754549, 791308737, 518523435, 849599974, 670938269, 396818745, 186942677, 119848070, 309464255, 941796416, 334888484, 683442591, 815876166, 445722969, 84114950, 250346948, 613319340, 668298709, 432076958, 570116792, 25832953, 132508509, 957726849, 114179669, 124834221, 323348368, 745663429, 106048038, 948781195, 721580145, 34475102, 274065723, 468036484, 143572659, 528469374, 737262227, 77265938, 381585550, 330425918, 348099133, 507673072, 973273373, 217828574, 507938442, 232078079, 537604600, 877839647, 131963796, 84042627, 98155903, 20311724, 310740088, 520008671, 745446088, 147611840, 89691120, 273029009, 57190843, 665067058, 222778708, 41475109, 694574024, 73031119, 160364593, 585912843, 980504727, 829703109, 237193717, 176006782, 238457798, 322125968, 703119909, 923650724, 343607399, 281995439, 143551721, 301404160, 262202505, 15384442, 559127777, 515148167, 165714895, 541567525, 544839256, 800815474, 109559114, 981516955, 961329928, 626823592, 963282452, 102571986, 11314559, 110111081, 405311188, 944276432, 602571993, 23910740, 375404658, 550708696, 693093481, 500011428, 887210255, 710224558, 251281437, 528965060, 175082312, 606132787, 164565941, 847761205, 366002822, 490735822, 857324918, 905990016, 477652478, 898554901, 245539280, 30848145, 514302620, 561164019, 468295002, 988303116, 151073026, 670437955, 259571115, 329028545, 544060074, 547391933, 630992424, 531946311, 255161267, 180644911, 370909004, 29341887, 573803485, 519010539, 295540832, 280646936, 149821373, 914046176, 260356395, 699390923, 908612199, 533480458, 801416213, 534920723, 617760277, 994137969, 611916252, 837743202, 278608785, 965301743, 48904701, 338077251, 770049560, 543068055, 49669207, 368302486, 397721554, 548434632, 82338129, 600214852, 991835163, 135182554, 101192785, 14014828, 624483249, 310765441, 474337863, 978883766, 253639946, 864335034, 235069084, 368636636, 716798195, 39156798, 320793416, 611251447, 316032650, 7130102, 300856115, 46279372, 883034483, 594781542, 935440520, 423686957, 905339038, 886657553, 684633069, 118880604, 595284124, 910040201, 423307681, 526685487, 866888987, 57074295, 530580289, 611026943, 258495475, 580423720, 291288393, 588628242, 909317452, 995215212, 395902669, 563569951, 26761099, 280659543, 931522481, 901962795, 955005642, 815723720, 143641825, 678577890, 359251907, 302704454, 391561699, 60681641, 693082780, 586287515, 220726170, 899304232, 289553322, 663983918, 27685868, 653419298, 782582101, 744272766, 19635059, 377698221, 667046423, 207530994, 256406816, 584845772, 426721923, 870423527, 731269565, 142385478, 65779618, 632432141, 126628645, 733430348, 421080328, 162777713, 224423935, 854118413, 851006775, 580775646, 669734884, 280980953, 409783892, 638422313, 441786740, 784039573, 58069166, 125676850, 580457137, 645114191, 795467221, 706852691, 100786592, 341259730, 43268139, 911492125, 130792895, 365593254, 107622249, 988603461, 970872759, 164452233, 887862579, 250239331, 948923265, 266427561, 874894003, 510444782, 358493179, 253436816, 713755474, 823490420, 546650972, 721319761, 433923983, 897577249, 410786046, 825512080, 844459763, 645374554, 755087901, 243172940, 770288934, 98165890, 374072082, 194541093, 347940045, 586952710, 419038556, 643003824, 193800277, 72466930, 508552018, 603220286, 157535158, 552293035, 172169610, 691861294, 905921022, 452886303, 905810889, 621421988, 702643356, 810703539, 11133350, 577342151, 556176130, 980341297, 386172827, 111246281, 262392072, 868403856, 782482396, 3467838, 920572010, 153361944, 304645340, 620641745, 609398557, 231006511, 904045233, 963838675, 197657485, 684115649, 184811774, 296241028, 880501664, 56017053, 178859235, 270370935, 688613243, 227135026, 153644466, 417885829, 746950843, 223498963, 32114526, 329267263, 414031028, 346332871, 266862266, 170220008, 264519711, 636873935, 11515019, 108727573, 252802724, 546550234, 463674314, 172665547, 168190286, 862225356, 195668778, 205187942, 877030858, 884769379, 209553628, 99565018, 90648192, 914297919, 72528992, 515907805, 829025189, 708635890, 214902408, 425019109, 954467259, 673371408, 548447487, 944011904, 282006531, 566780799, 450814771, 976818080, 913010549, 856084411, 629375842, 31682771, 475815743, 930296473, 687960129, 939434943, 620140297, 875309581, 982120626, 255543126, 988282284, 942543795, 267024169, 855292577, 710484688, 244211173, 914168318, 870354168, 572805983, 769091269, 936289798, 867755346, 242963298, 48015979, 314032374, 288712527, 8772496, 715575711, 646945697, 30337776, 775495373, 592609705, 775698866, 376549734, 234003878, 893499151, 372322537, 918870272, 316026637, 872631706, 107099967, 913431542, 464802120, 810236239, 671018349, 683081682, 310692753, 913751810, 82225631, 643156396, 471665254, 663491845, 801683807, 932536522, 463542768, 396591441, 809153293, 20834393, 981260314, 70529453, 194576461, 957892011, 584885485, 949666977, 905318178, 543514681, 650897979, 323448479, 808239907, 848570589, 238288063, 892757728, 973034666, 604996624, 97120201, 583514810, 754274399, 828955604, 864783221, 129123079, 590726133, 130888609, 246388007, 650934054, 60062697, 501338146, 515140471, 999015735, 256367050, 274804401, 83201365, 898147489, 66030660, 74284137, 738562070, 789553750, 674455462, 831251208, 891282104, 79025032, 378306933, 213540441, 740533254, 911765594, 492368782, 929111631, 510499613, 143527902, 570464019, 717212691, 573046495, 98850349, 987492413, 992445564, 342614270, 183126416, 222607152, 754811096, 480955889, 697471808, 912246212, 11358519, 511830582, 906240906, 653997785, 969498193, 708784275, 1651451, 858556920, 238833359, 17259473, 514346741, 506251626, 2188553, 784470056, 217146060, 960204138, 707383855, 185008040, 248967091, 603177148, 961277005, 905390584, 331413289, 953946404, 634977100, 165863932, 718554492, 639118345, 722426255, 726537626, 768650038, 889341836, 877401726, 741061050, 363143289, 845604572, 371774784, 312511153, 441309941, 931195920, 121433030, 801965913, 405314733, 443130317, 34261251, 223852945, 342408105, 257931072, 433094524, 647982677, 476440951, 55057208, 430976525, 882451366, 501340811, 822104872, 482675131, 883027000, 439511755, 690209557, 107127964, 724545290, 897038130, 358176403, 767526676, 71747807, 784770199, 194243762, 788388144, 353696787, 222080016, 378448368, 5800506, 480395884, 124326046, 566945637, 105744091, 651543864, 300464773, 264328543, 875362243, 325858136, 662884394, 543469348, 486330112, 201790397, 714701905, 17471795, 794207728, 323040827, 496210341, 117029536, 757318886, 66023671, 994320826, 390084569, 7609049, 989047178, 929454549, 632175330, 464054107, 154766676, 997499519, 161555070, 210260232, 223206508, 506745820, 537082467, 86431633, 163532141, 550188887, 389529194, 418073444, 630639760, 968549206, 164894105, 170033973, 585163740, 752475975, 789594420, 287979157, 618525499, 674932629, 102066681, 870649733, 782538308, 181637234, 179576016, 210623619, 32649935, 905909399, 448946110, 475516184, 566229156, 129047283, 865955249, 928124079, 690833298, 424898245, 608124378, 290484402, 182607414, 811018738, 963292778, 461740964, 7859230, 146411337, 509321006, 352905519, 675014422, 301328564, 313777976, 307395658, 907005914, 170194239, 638766391, 226463383, 321971013, 201187180, 347210344, 37527796, 764485871, 707663127, 45401516, 867441868, 64400055, 71530246, 992402597, 446152613, 630355260, 549925579, 154484106, 99500796, 450977719, 403552810, 79047693, 560954874, 205857379, 915657874, 119180669, 993561038, 249742926, 992339459, 846621219, 633973561, 734062714, 548436015, 523816558, 992554138, 302131497, 411142900, 545958423, 979659030, 726054181, 610896919, 673441834, 291364559, 195131810, 253350418, 521248625, 597792024, 123152044, 631474936, 891891481, 945434758, 300129615, 223450977, 983093477, 570077055, 72564173, 295593051, 144280366, 460578104, 137977698, 726482693, 619092339, 343304619, 937869951, 395018238, 242895827, 565703067, 323975133, 731964669, 923642172, 667479858, 970650812, 130042204, 924262522, 786690576, 120440360, 193577670, 285263553, 4110201, 112074810, 47469185, 148231887, 110028303, 983578908, 57161853, 192310071, 67030193, 916291040, 791888272, 686739157, 464083780, 431751653, 858121232, 833430606, 368010856, 432034387, 486928273, 9979131, 913370176, 326324566, 579577877, 545519390, 255038888, 74827808, 161829602, 9314951, 820240265, 362567122, 706277025, 937758995, 190923454, 189937641, 79016800, 968720596, 328961880, 774661832, 262620680, 896929039, 289382886, 29688040, 569172341, 785242981, 606307739, 542468607, 791221312, 807291726, 684787619, 998746266, 656983062, 67353081, 629120156, 864036779, 180212650, 520683136, 356887515, 128357978, 280099242, 988755379, 209258393, 744789886, 660257090, 138293490, 168675196, 284800975, 658341401, 96135158, 752175902, 306751521, 58915572, 997143060, 217076801, 2448239, 527266123, 112640114, 323298518, 471813938, 684238656, 298540332, 982009572, 289216980, 928353871, 258408222, 56266870, 202595244, 649227559, 431120072, 679014346, 807752559, 29346483, 77036141, 306830909, 385040443, 920357732, 566291188, 724345393, 167313070, 611467938, 341473405, 468094232, 624830102, 388534505, 599298976, 651276536, 505472148, 460880069, 199204319, 633328214, 75828092, 881074136, 265864206, 157865931, 679949084, 359335862, 562450371, 728788467, 831273476, 584131340, 629221935, 997873195, 612344691, 979379215, 246499147, 233528746, 236312359, 181181983, 870302610, 671574941, 570423193, 87665262, 795002378, 299318633, 724839544, 383776712, 129183868, 352486786, 46122183, 507485985, 516756764, 7000548, 721729303, 637777772, 198274343, 448303037, 697623750, 617520877, 956114185, 274821449, 638170887, 513329047, 800154160, 321489129, 547366342, 66094603, 603171134, 118976572, 501543320, 519239336, 519949476, 389759501, 680565506, 71491258, 515913005, 939744682, 678363667, 85765388, 872603263, 31137346, 635438863, 763708663, 550609368, 906456289, 839592500, 380843569, 983730127, 455972118, 151699957, 926195631, 108246383, 259797120, 643359549, 790562064, 271961235, 286329088, 747495754, 962290167, 380611818, 744986190, 364431841, 293535259, 107988351, 786314364, 624660049, 314933286, 451229666, 543249365, 989891680, 87749619, 195637914, 342524124, 556908375, 159502901, 764868190, 675217792, 372683282, 82545083, 452198659, 176637684, 447083821, 740133772, 54648884, 822680364, 580592465, 95353830, 112705613, 609523732, 982907184, 646503295, 712687191, 99634123, 309250597, 270422358, 179783274, 134779492, 845346053, 520972613, 419184307, 734390729, 658716005, 455183997, 460891306, 446785684, 123769045, 913561815, 103667072, 621858071, 676389082, 434796738, 139835346, 436839893, 948100919, 308322100, 307508217, 12089416, 220213884, 578842381, 991226707, 54267310, 594467748, 444606975, 376215344, 151254182, 643461801, 971841674, 101941488, 892622833, 377990290, 914369003, 431535676, 996506628, 312058785, 72040559, 909693826, 514117621, 713350649, 498275398, 832697034, 530631655, 800437465, 778690036, 594974040, 889990747, 285292390, 590749338, 119253369, 613280936, 686408118, 540132267, 872670446, 177331931, 901620662, 955814356, 410020975, 176518866, 135758423, 214732260, 670228121, 700256742, 329866914, 207106187, 423624747, 313418751, 154182215, 500482590, 771542710, 919125971, 422635417, 196709384, 285995452, 853481320, 401796190, 51134210, 518625425, 148026359, 523389801, 976293584, 740871752, 694349536, 624325494, 616566279, 837831006, 623098467, 851204649, 768618529, 178185240, 615836825, 873636069, 253375452, 72237237, 396388042, 670106545, 317432856, 655955177, 69250414, 832271956, 302325823, 903116080, 273987363, 895895505, 715034731, 281436620, 785337144, 787673271, 58656481, 835933541, 607683662, 587809516, 477688055, 488679437, 348251650, 981417290, 353833420, 163886192, 478924054, 427516455, 921364245, 387092158, 205306404, 658692135, 944357178, 518112250, 390198569, 880154961, 571564362, 950167718, 266212462, 746360397, 668373321, 422571536, 83905542, 594698478, 630376332, 579041199, 471744519, 959995220, 692195421, 635738904, 650086145, 322160655, 497147022, 986532275, 241795070, 613893198, 827441333, 531461479, 374941697, 798124926, 259386377, 153429168, 10054967, 92710600, 297419678, 189027474, 107227119, 847316279, 661576281, 411383787, 462362931, 500860338, 531886033, 705333395, 428784554, 821464242, 918977553, 239745022, 170523464, 796457479, 342187179, 341832502, 881349889, 944946524, 803669796, 24932496, 779266289, 907809710, 318214068, 552609484, 632049945, 158123505, 48556835, 863713679, 677325563, 134902862, 768168940, 730850613, 411743549, 900187034, 925212202, 898853195, 223778832, 543058841, 242000589, 612684545, 517253273, 204429273, 581796069, 160832072, 239426176, 256150276, 15262852, 937369429, 205756336, 280143624, 844798499, 497131058, 385029232, 671990228, 621169070, 500970852, 909193838, 577578510, 546392818, 79609537, 976530226, 156714390, 287036682, 755810543, 948017972, 155329425, 578274653, 503079257, 598465749, 390086486, 120035795, 605005039, 668686690, 600173688, 821840132, 776094284, 276180434, 465619111, 35126223, 208601329, 618012443, 295149803, 646845649, 930280544, 421182331, 46795126, 869832119, 706342502, 583450787, 115894908, 380145207, 570229621, 443901726, 791089220, 970809137, 621788254, 737158990, 112243429, 351504035, 932390003, 658560783, 822060186, 538006496, 259789626, 44605240, 603020580, 233199772, 369059649, 141541140, 5851112, 624932162, 26503526, 915353171, 395811366, 964362226, 762594398, 497752223, 453892137, 25111977, 571215081, 944886052, 413836522, 879526665, 940322681, 813265247, 374045376, 897850211, 732249503, 769240522, 749592175, 532633692, 753914219, 209892310, 91260031, 655684428, 693140848, 651393476, 1566209, 793624413, 375586535, 890588624, 814740341, 648387963, 615265215, 726158582, 705880264, 948504501, 618468393, 901981709, 266308187, 456364492, 79979372, 221506126, 522772635, 345359365, 571808812, 137778919, 933032842, 451369205, 567148022, 132429850, 305200351, 45119773, 789262650, 811887706, 59988970, 139538378, 518305929, 371909120, 358560701, 368624982, 729607691, 554334200, 65794198, 361089994, 771669160, 330994527, 871957916, 264647721, 724965853, 852248656, 358223517, 944170157, 825990779, 994429328, 420343764, 685105148, 830875786, 336138763, 479204731, 837190993, 153665899, 311452782, 152626736, 919786348, 779018510, 628825334, 986571788, 130166333, 712596195, 747325708, 490522724, 47928992, 623624465, 598211896, 528686234, 231500958, 923120545, 784050979, 830234585, 822144694, 293818966, 865639204, 183254222, 499555269, 790030041, 454615151, 224902305, 498222488, 459156249, 845377085, 535326588, 254234362, 458546732, 707615011, 349950399, 114393151, 528840627, 450330609, 586083518, 586401832, 857206728, 645667725, 606261191, 138229959, 977043812, 560195089, 289741584, 522622044, 569641675, 508919607, 140247980, 465979808, 873508970, 61275921, 192658072, 467740007, 122457980, 266775964, 117983595, 481498709, 714164833, 438822695, 682182001, 764713071, 948842975, 492352963, 748794115, 477037755, 770158787, 431684757, 399056643, 175250387, 653977438, 982251198, 791589256, 597077020, 515466827, 660727360, 744265123, 699762977, 468273214, 717920427, 977811637, 17295544, 485412584, 955653541, 946288627, 638371201, 807382042, 507366852, 712687619, 655921843, 322648008, 834997890, 213187876, 821916460, 881863521, 807020525, 907598365, 337455788, 244875674, 772592640, 600394377, 136355183, 746818967, 450692105, 329243090, 603584826, 655176979, 923907009, 779750167, 233348619, 550077087, 888742577, 710570413, 971871168, 552825474, 811433605, 465182535, 430711008, 269897340, 836298026, 245339883, 44603836, 391534620, 715021260, 264774255, 882207133, 314768854, 22791152, 761870346, 744100789, 220324234, 558226479, 909001131, 641011842, 760646560, 595023385, 187315107, 495406312, 363218327, 570798546, 427887821, 607667856, 594461663, 520707277, 807702400, 334608448, 225124083, 591805076, 904497165, 362256570, 656694368, 549144289, 808446998, 579740458, 53062711, 624038512, 547645870, 775629739, 779293590, 370165279, 785685877, 305892908, 195899848, 207496376, 928611629, 290294943, 507919815, 446687017, 732526913, 101492293, 856296892, 432867262, 576186436, 402446762, 369456373, 599649023, 486939074, 425943566, 332647745, 355500314, 757181475, 443834820, 489908245, 221431986, 798507379, 542523852, 392530986, 345168491, 404116557, 855957849, 216520279, 166768853, 713251959, 968367823, 334970417, 181138906, 143364883, 556797898, 261774212, 285900954, 923177495, 652467067, 843522407, 673338531, 954812393, 144515076, 433168616, 100457434, 197777844, 272038290, 840095777, 320682734, 525003494, 898496675, 270007159, 274388867, 461952967, 361650675, 255532177, 134256907, 554429003, 229809589, 880060062, 249872599, 379827621, 548854579, 438419757, 221227228, 394136675, 45725447, 561403176, 958391041, 393232485, 263068688, 265438366, 424599304, 503391028, 635144936, 586177659, 997659941, 650958807, 497990351, 81434297, 925412142, 545062321, 907924849, 154430608, 780745714, 900796565, 519963662, 997685621, 750988545, 42752783, 158351606, 491278582, 811862031, 231660106, 525501159, 633106361, 966317411, 766855088, 703418146, 817797809, 450042273, 932832885, 180641814, 967396929, 190842170, 648047583, 935754989, 336839009, 390924247, 812349437, 394502469, 4590354, 810932907, 299162387, 833092198, 639278702, 822368606, 488403292, 815117844, 454860739, 280604167, 889416813, 781021574, 366096585, 144968181, 127690879, 247742159, 367541851, 780146041, 358295533, 975573347, 516024447, 738184110, 569745923, 840048428, 788601269, 608645739, 786460501, 488022081, 454273689, 492767455, 275381778, 105532937, 874272580, 286153393, 813885079, 784816436, 263690324, 41871146, 252096507, 184848591, 965632287, 252707786, 508358707, 422991248, 373940210, 996029294, 554793251, 340414391, 538487413, 959854820, 133565312, 228041104, 257374956, 16611568, 758518261, 107570607, 867802392, 484042372, 786445501, 766224458, 848739548, 738236982, 824069126, 254494117, 702139252, 395505084, 714422446, 426312492, 312590708, 646254434, 598576926, 489718779, 775084909, 905021385, 28072072, 950517870, 169600266, 997752584, 920390699, 77686045, 651301282, 421435641, 236030525, 896276504, 71431628, 678964018, 484468426, 383066993, 856156209, 611387296, 42864166, 25060204, 85825254, 144402381, 593481901, 935370886, 684463218, 91279349, 605761403, 336422521, 670376253, 377678962, 193791049, 148614979, 417488555, 983251342, 453578822, 730156029, 470133701, 648939336, 479147392, 184133228, 970292507, 669815791, 221470917, 762312104, 828607037, 657412451, 365116514, 353725436, 604147431, 128366214, 165993139, 439746679, 804147206, 834059720, 128419088, 201144969, 424448588, 491966688, 868701518, 915175243, 350671214, 349819095, 473236039, 749619912, 476193073, 755962005, 837969655, 982355965, 812889892, 342763524, 88253398, 27260136, 93131742, 866658826, 427025948, 139565966, 345495661, 397928768, 293399866, 378266924, 528729131, 562356627, 615920294, 231960720, 314550797, 741983866, 827745351, 437485977, 463465279, 903844759, 477581973, 187739015, 631291254, 42508503, 550991362, 47451744, 750720221, 767783585, 563045360, 878826552, 245797050, 92834700, 552250981, 440548081, 772266562, 3255797, 199146188, 876518239, 185820781, 758852515, 924687034, 420843941, 50454684, 745647987, 699785760, 324579243, 195989932, 298093235, 168344581, 103704176, 772343011, 355193995, 604294703, 230076914, 235800982, 965478310, 781189498, 750493550, 761080425, 131097300, 220717253, 668489519, 411336001, 226669116, 864508661, 227851847, 762290279, 495333557, 638229174, 919351296, 670196457, 33657753, 432650198, 646093454, 537383092, 980022312, 598753929, 734787605, 917155859, 219021243, 980022055, 269067064, 776583118, 149094130, 514138983, 850426542, 307520978, 482757247, 268392174, 607338163, 152555836, 507284326, 285929982, 888131650, 510374479, 674431977, 369987320, 451450027, 763924936, 538138601, 690805388, 849594916, 633589027, 937038176, 491455092, 951357550, 238448445, 540333417, 432015532, 69670641, 803556959, 38362808, 603438852, 788071033, 176860302, 187776501, 787350628, 857400488, 694771492, 788923335, 72943742, 348171704, 6937219, 311275897, 725969901, 864749724, 264886453, 270363310, 934876034, 235148726, 386831867, 483268833, 157130996, 142984839, 457063065, 139184428, 302109889, 367171922, 837761235, 549274047, 224418777, 870267632, 208193490, 488285169, 852447224, 507301052, 45225153, 46224249, 924256500, 994390340, 760161781, 76440546, 153425317, 520081158, 317710456, 919349362, 339854178, 905448642, 459956182, 8973104, 100192450, 620445893, 803087594, 754654562, 360026240, 824563880, 131603969, 540891273, 735193709, 994343257, 227720404, 455788400, 393233979, 23111734, 713284323, 478560671, 8298919, 669166660, 911684983, 849874186, 862180172, 311496400, 817157046, 920424691, 540167601, 198968000, 117019164, 518721132, 366496262, 820836798, 631968815, 342936842, 152775910, 680670466, 972402561, 992846393, 485951075, 194100817, 699579258, 730283090, 302263875, 497279864, 819643733, 645523528, 357054383, 332616724, 709937519, 114910197, 830346743, 863100637, 330511121, 451222411, 796152112, 296632974, 431312315, 802269911, 384048380, 852927576, 961942307, 833151806, 225410087, 86895951, 764776818, 34010383, 219198233, 166920800, 372269005, 833376338, 623873901, 854709870, 371199030, 490419406, 436984047, 435252748, 371782348, 728644992, 719645325, 759496656, 547266030, 242712487, 473725186, 166582119, 306558253, 351736703, 482972289, 745605422, 763649274, 848291010, 134521238, 822918813, 70559577, 169118030, 633838309, 287432670, 801147883, 891175225, 509084210, 73769140, 550755342, 806145346, 658957964, 299641265, 62025854, 564456547, 968813879, 432804960, 308698793, 373925099, 320614906, 500718496, 136853297, 738459928, 542130425, 728820527, 444764726, 948100284, 424857548, 832004192, 350652329, 495702710, 709518584, 232724247, 902059401, 521078473, 421778039, 368752854, 859413162, 305228196, 569612959, 119478576, 440939924, 336556669, 261837223, 454458371, 520640162, 439056500, 112851905, 998294024, 78011366, 453448739, 302871366, 339704222, 108838781, 103878981, 64776946, 148823679, 385969505, 520961502, 182901508, 468065929, 351016973, 314484154, 154941739, 455109765, 760701208, 719822996, 816587809, 43960368, 244146286, 625605355, 101149226, 124858314, 82047885, 26907490, 528419479, 18201173, 430420596, 956358821, 389090998, 789721765, 680171442, 984264344, 209885149, 640332817, 760804843, 584776255, 180409136, 138423134, 325709960, 879311377, 47679525, 894576264, 413399275, 959832635, 863640295, 13820699, 300580016, 659025744, 494867159, 933143916, 822920348, 178813374, 759299732, 789471099, 820190118, 496599515, 528007880, 785784734, 8914162, 43878697, 649902576, 917140509, 461088305, 439717817, 810124900, 116815509, 372137600, 834308431, 612644741, 399525031, 599777196, 129949141, 952217753, 171808098, 158692196, 201484294, 856515821, 898348168, 677072565, 518213247, 593385160, 48129692, 587503115, 108953611, 95818029, 390480872, 381008174, 843611590, 787741708, 146334505, 984488266, 86158400, 700151169, 333340323, 396976975, 308747539, 732319739, 111398730, 113517701, 96868199, 192794002, 882186080, 772600199, 138860098, 833178375, 991318904, 679272344, 645755335, 315277129, 470874546, 340903216, 665276379, 541453974, 936499501, 68492445, 159830857, 555515333, 90352805, 942468123, 649287938, 146679523, 168552478, 549284820, 40581880, 315799543, 636176607, 785469953, 248459588, 991426005, 45281277, 364817769, 782737803, 417670028, 200183740, 960650569, 425180911, 902347648, 918643232, 98165938, 665365073, 830330706, 779459856, 620234398, 621265505, 350332919, 360514942, 393320082, 178205209, 363756069, 681800704, 860836831, 412464790, 907254805, 683436192, 386708006, 81966382, 831895588, 438322346, 771335941, 851195299, 262903444, 362016520, 577700910, 524529851, 395853554, 29581453, 514235576, 916323139, 166069873, 552278366, 104787462, 162558930, 859281432, 558312887, 273555689, 926454675, 35523670, 503009445, 384405345, 313391919, 300935107, 775803617, 199983144, 677375829, 255235157, 437308268, 38992385, 691498147, 393760961, 459290330, 570045263, 512280920, 173091726, 915870991, 107987562, 360034250, 511964762, 520548405, 358290560, 507755374, 787378854, 626460760, 344984838, 323262078, 147694093, 415185826, 955567800, 534524188, 298180166, 619674268, 542017515, 498565332, 912458161, 427589188, 218463444, 772691156, 909025008, 250866499, 980261899, 726950920, 957754135, 998664042, 24038709, 177262083, 904723467, 686634388, 710786294, 945460309, 400081307, 142203517, 120528766, 264439996, 715952108, 236130930, 81412663, 360711334, 616911473, 662901255, 674504723, 173898834, 290178335, 199708283, 66948803, 219407456, 799514441, 790629518, 852009907, 267446458, 201735813, 246692568, 88578940, 521331956, 333072496, 808671993, 775564396, 157066897, 909177288, 126066613, 630024195, 119830083, 143172716, 224276862, 374845680, 993832865, 196328254, 778680365, 100146975, 634478234, 470117916, 923060320, 875662124, 329693426, 396949326, 734130223, 875530075, 270905123, 507985957, 747726108, 258393733, 960250955, 650320393, 900663748, 646155245, 447349909, 338573777, 365496379, 499911870, 655192304, 946619342, 860709321, 888012973, 596901158, 161487796, 155253723, 379866869, 361850807, 470434032, 198435307, 390451624, 742197696, 404274257, 787795677, 217164200, 987882578, 558085540, 813496129, 960070920, 79661137, 992813029, 69551410, 821447401, 255386188, 830832473, 140200704, 933279552, 989816054, 794192466, 929962900, 303037916, 825539962, 388030892, 968769404, 293369937, 50697572, 260294443, 363093927, 79610849, 395494978, 620029582, 10447421, 840208677, 61534920, 688940886, 597338548, 962242671, 829058615, 958565296, 170622305, 237673359, 719011736, 205901300, 458203576, 709980094, 452238074, 982797047, 979381043, 255585552, 941869452, 404232752, 658131405, 72855095, 101559157, 28500704, 491876639, 267160413, 140384823, 550593393, 256089395, 868551562, 681505822, 483686217, 98199660, 677816132, 32656871, 773200316, 558203967, 706463633, 607418347, 767817049, 738161395, 81670994, 885981387, 321859977, 735150361, 811633825, 752686176, 425341719, 335446305, 362976768, 14219295, 242572822, 829850439, 986768223, 739801907, 786741123, 53905209, 492954185, 899575040, 354738683, 400346132, 773910718, 787349171, 987756595, 703241585, 466753437, 810102731, 313891511, 127768627, 963055664, 167532012, 139380704, 210757637, 80275374, 725562526, 158612911, 768673548, 399239777, 296046228, 18733021, 259443899, 951401692, 304578130, 361593173, 968880228, 499478253, 905944420, 641956050, 634436054, 872858913, 756246700, 636891894, 143677994, 507846322, 65983489, 866552315, 911721324, 199578617, 138010139, 895872459, 558060259, 836837413, 382085674, 86137130, 48469849, 175712288, 939144087, 844615659, 527693142, 631501139, 264272292, 103792046, 135559902, 463648554, 1754102, 884054363, 593355846, 864901717, 715092347, 337104853, 231826461, 293325247, 8241697, 717840439, 742059191, 63575367, 869761246, 226848070, 832080329, 377080516, 5642107, 170699949, 650518782, 454357150, 200931146, 213628795, 455060744, 629510578, 510463964, 64326392, 572478373, 526014792, 318866774, 834954897, 582861853, 137587638, 220143913, 514485305, 546627850, 315178293, 779178878, 970060564, 834426878, 170969055, 265144765, 49469628, 621147583, 121717237, 164032844, 716776424, 847118718, 286106460, 476259318, 166963335, 845987665, 905718101, 505234515, 436801819, 991078762, 829358308, 388702699, 358874564, 84569656, 119198226, 751879906, 59425510, 53755153, 96483122, 128874317, 785923040, 197760964, 961812638, 754247836, 423564667, 808920603, 552389783, 171942634, 249773904, 473893618, 566004619, 942065045, 345329399, 289859020, 792461122, 100924548, 396539988, 243521503, 291604159, 475206596, 620423071, 780660364, 699372649, 490130952, 191872937, 893361484, 307439183, 483700259, 433380111, 39630991, 327046384, 134668244, 777618401, 127853473, 731602649, 147770991, 880346335, 867055264, 141750688, 94168423, 159398680, 592365508, 258046208, 758684531, 472764697, 230273351, 46609993, 275451259, 638261768, 986116432, 21861487, 438816689, 327259985, 133899256, 848039307, 186421485, 196239338, 751634526, 510698909, 37997141, 136870089, 87051574, 648901360, 151109939, 702782002, 507566740, 295509734, 354496162, 500413155, 762073381, 350949112, 638445805, 902416976, 61864546, 877818778, 612752543, 221352455, 181868205, 707856918, 571531280, 231020087, 306994965, 953914262, 807668272, 740783552, 358400930, 618031279, 964094800, 200899302, 700871962, 627552883, 349930543, 720427034, 324554368, 737330987, 297177904, 767931131, 601237654, 667706333, 510549261, 901250, 984603966, 266067613, 499232717, 459576860, 228652703, 467892087, 377486701, 446681606, 217619426, 961747451, 77623422, 284499960, 863849290, 148298889, 5766965, 53047027, 582129751, 132435067, 67862006, 732465581, 481681919, 154798153, 836489341, 422258299, 677772155, 144079050, 905270656, 153620695, 381513406, 174006804, 642431609, 645292212, 368577674, 512384516, 592924743, 824877668, 12187023, 76098338, 167973054, 4175822, 765694364, 401845221, 623748023, 743269201, 624096452, 802219001, 980797320, 687389908, 1641175, 257560397, 224005916, 5757118, 421050715, 933578683, 550951237, 383393590, 967667083, 691506177, 76074166, 67972827, 224293580, 601375087, 820123677, 354274896, 130420624, 630332979, 260228986, 92988385, 572937219, 542733311, 490100049, 787891310, 21709148, 344331186, 253880059, 329020633, 625679960, 41394059, 137005743, 199797943, 879681033, 926281704, 365239271, 665174094, 413204795, 308451438, 410401654, 855179034, 116432526, 677993097, 413656998, 669406381, 764908501, 762876935, 125969056, 820408234, 511156870, 120717446, 915674521, 950522694, 168364222, 718341641, 89009193, 254773655, 861948472, 842554878, 407836941, 695684950, 225954080, 990153269, 231036689, 907142842, 880675161, 600738779, 30737639, 64753456, 296121201, 387198333, 364384185, 963338121, 804121042, 465278358, 102120752, 196698776, 755377151, 872418735, 795181554, 29866952, 366687047, 560521084, 681577557, 171320119, 218696537, 299448767, 970597238, 961091948, 348579406, 73560350, 939944829, 962888709, 685500516, 240579040, 672799886, 985694464, 839818862, 512790724, 628299, 806149903, 209611415, 104450300, 161704848, 878899090, 567190449, 984321512, 599268611, 36879775, 508565300, 859736727, 926936074, 498014353, 622438077, 375335333, 53578623, 759585154, 755649259, 449173842, 340263663, 36452316, 535071986, 948580699, 27720542, 619965027, 103937113, 710342102, 346355046, 847927408, 312878937, 461969785, 186734596, 402022606, 144666165, 725038312, 261714105, 179967034, 349956713, 228079307, 767557268, 259058593, 556821401, 726966268, 114097716, 538198586, 539185104, 615348821, 717792358, 623589418, 870679150, 633168651, 877468075, 983908722, 941758621, 218799449, 925929385, 67538920, 578159526, 445969297, 108095976, 474125159, 288017579, 660452066, 35612659, 618080948, 916892000, 601316618, 757720727, 269949934, 68199084, 186037875, 895851576, 982013657, 367298973, 664255233, 651208853, 480910196, 428079022, 69357082, 508419878, 403856734, 275690710, 905575404, 700553418, 554856034, 668454989, 30356231, 86803912, 607840019, 815542939, 622216808, 247119823, 424743733, 681632127, 210910930, 721250991, 902313831, 327607253, 988704284, 404030313, 775774728, 312521766, 127537644, 22812932, 440905526, 772569430, 28732923, 119704297, 240063637, 794937227, 854101791, 853823464, 221833202, 37609028, 461274490, 519538841, 708223574, 318122068, 743248294, 185908539, 117759162, 479098346, 725733145, 960128788, 428545806, 627195637, 602246812, 469444844, 196195829, 876901340, 166910037, 652651280, 784760124, 200664105, 893510456, 46219243, 837640357, 864815689, 609788395, 89677844, 142763953, 898949995, 670882754, 682869166, 381539847, 864954356, 650173316, 423920660, 843663169, 831116037, 746969347, 957639114, 577377652, 152366954, 587236938, 819936316, 434949335, 462683938, 35327949, 456496230, 322261150, 989484498, 153591426, 816615737, 324624638, 490646020, 930775454, 320633695, 27672208, 994828255, 324699394, 264102322, 128762602, 951577337, 741879785, 107538821, 192079047, 136368, 44518687, 372120248, 879797815, 15584384, 933528438, 466698897, 214882618, 862540561, 908963326, 94673093, 273026276, 544194584, 748189688, 658497914, 161565874, 927269561, 622245138, 640379728, 967134458, 77812262, 698434408, 307845102, 242320976, 867276153, 128008212, 976440348, 649432958, 294675452, 95885645, 450962849, 1513466, 477524414, 579289190, 58601743, 296610706, 443191431, 102939821, 133760022, 16174890, 404299584, 65438711, 283963186, 14055203, 261443111, 830279042, 636555881, 522841483, 88213601, 897646669, 246858781, 794830555, 509285475, 876290521, 890146949, 336816781, 192072742, 680339100, 455947903, 970547620, 714586287, 221935623, 445788640, 418663288, 169655716, 86305772, 377732984, 443719075, 513386363, 100178245, 316690852, 812831228, 424395511, 713812552, 344597802, 418083371, 511948109, 345762631, 14045632, 442734880, 535471851, 24471037, 865148236, 126351841, 199289363, 314555202, 37738322, 105601064, 973169994, 816071539, 425725865, 219263197, 23554247, 801170499, 520672802, 766614977, 733565832, 137089103, 922897795, 102788601, 14760328, 37514022, 870270148, 949667867, 75663806, 603997080, 825010353, 372583433, 289857345, 929459501, 248591661, 539723384, 987892953, 152400915, 966164648, 75548906, 97729278, 357740532, 94945706, 603470307, 538252491, 583487202, 869329446, 775440966, 716036780, 904197169, 805506979, 411230000, 927249874, 274623055, 709669351, 864970397, 80025650, 310512220, 691041334, 636028807, 452346486, 378966118, 864501115, 585600286, 866911327, 710195334, 290406890, 149718084, 252629020, 486165459, 978465374, 772182845, 741335579, 510452860, 413260391, 846207585, 431304571, 982355791, 356526620, 614536026, 874974282, 535928387, 50945352, 662803302, 698044481, 935586519, 736529289, 54847429, 403375537, 178622302, 16700161, 465501131, 602055289, 802137624, 418783723, 820512994, 763468433, 695380423, 284195836, 988177919, 712089514, 120711347, 20203365, 885958823, 324996709, 796729946, 941178094, 641919839, 416454155, 64852608, 687779729, 319164378, 692269278, 294318511, 24265579, 745306824, 310643251, 413268661, 380440536, 441088151, 998029552, 810777697, 220051058, 453239696, 939276594, 913826228, 866401893, 562178425, 726502014, 190790, 182907004, 226544348, 709417742, 315196883, 996758676, 604040966, 77003213, 323873716, 160923281, 688797098, 625974536, 533128992, 286817373, 806447309, 674883756, 473859315, 680156199, 955553605, 563873175, 715289405, 741930801, 419956180, 435139337, 692750488, 151598665, 314976398, 939996163, 565804938, 719743437, 114848735, 551376072, 37788132, 454472060, 292807419, 135190474, 310250368, 181425178, 640990782, 235290540, 315687328, 994403922, 892816795, 360959184, 314515598, 769906139, 658529107, 997344471, 559037456, 187042385, 33441802, 320405371, 378274234, 701689249, 370730844, 458597005, 31647897, 499673416, 305944895, 342889882, 745299825, 54989551, 252324367, 942134927, 865366748, 880147043, 85472432, 213757478, 559088340, 524813245, 697106555, 235808096, 974865539, 629432578, 262470819, 312597995, 145352878, 270253473, 281601943, 773005029, 359051247, 251214385, 811379355, 481267910, 38896873, 881894689, 196215345, 877153584, 244968508, 498225681, 430382083, 200896771, 772278013, 829791905, 806094000, 148255458, 171283794, 170088444, 352692220, 789933496, 430866825, 600657910, 259762747, 99723763, 849822203, 743742943, 778703812, 201040914, 903397582, 8634915, 876048101, 221783715, 886375285, 121913480, 455296511, 632727766, 350087416, 738097003, 988750606, 915520177, 147606819, 865063990, 438244332, 258839073, 116491429, 915828762, 413663958, 62294999, 196005612, 644802175, 873659572, 568091089, 176123254, 401278698, 522040568, 723763651, 391116815, 58279614, 503731559, 879106417, 323445773, 998978336, 296742413, 168673808, 291977504, 580766503, 466546115, 399127808, 821213187, 975374074, 633212003, 636011935, 379306772, 880316891, 465452763, 573863068, 511391672, 215349216, 943510852, 652792043, 280359799, 765269848, 112097141, 881657054, 721613107, 950798335, 529210349, 170008187, 345750928, 230231424, 458069181, 554089564, 972157932, 733726735, 724477718, 520860235, 807599967, 609247742, 634809555, 92091249, 298178693, 324468711, 787923786, 903732639, 581373770, 655898510, 936168841, 943285154, 731576905, 370072686, 333131550, 790038413, 576800840, 983118315, 9545579, 101161544, 38709964, 791425228, 999552009, 112104949, 661274944, 744195930, 31201295, 537498003, 641445481, 260299856, 156044053, 225211225, 827117935, 785075044, 962100503, 465173904, 716164077, 410081794, 130559159, 726316186, 985526352, 715997034, 807614462, 199123787, 388222968, 679057825, 570646718, 195487218, 439127122, 659151257, 842068991, 876046760, 154028716, 52940731, 435712807, 991523237, 263739758, 534655279, 987991414, 282466413, 707320567, 813992508, 526312862, 440673102, 980076409, 943432306, 267964628, 85253830, 501710756, 238878772, 445965670, 587454850, 741894036, 750578503, 464208721, 742311075, 509377580, 618787213, 152273174, 651255116, 955605931, 110029630, 853453626, 138090005, 845105451, 824042533, 377439621, 600745380, 190983269, 338226774, 297898359, 646792454, 917310354, 255721909, 399363664, 758712792, 706264999, 279020095, 240768125, 146096485, 319349662, 317032616, 736397875, 203107293, 315753416, 200023280, 274188817, 677768309, 926008356, 111411097, 913574053, 908883082, 794622060, 112404619, 968884502, 474221650, 996598046, 222779187, 832049730, 655642900, 509837417, 104382145, 454615217, 875894137, 841699415, 292781145, 621726784, 361151304, 481130359, 948064567, 776559324, 511620232, 878356810, 869559988, 183052101, 122407479, 337147442, 570951813, 660611510, 177232061, 949773392, 576999176, 667406324, 616766488, 405907553, 891549446, 528129091, 372564206, 843853193, 743875402, 699154631, 3728906, 192427827, 127577299, 623330746, 629202123, 285113953, 412911188, 559056730, 865739546, 487159641, 850075372, 74225778, 514575643, 239848102, 36167014, 844193628, 992212681, 405446563, 896720178, 984885374, 833244098, 23002433, 848668870, 581795576, 450649001, 952819865, 656286429, 192077096, 16714468, 573919626, 137775460, 153498686, 843873498, 396282421, 673617197, 825015589, 15158435, 230016774, 613748661, 83907757, 12101194, 799779380, 592994721, 133509040, 659440368, 474927252, 166104181, 179245989, 912614947, 466417455, 698129598, 227555592, 406745222, 357861664, 460196880, 560358206, 328963702, 658630354, 185115662, 12588910, 115249929, 154907273, 39238338, 798456322, 636076189, 249091271, 504352516, 642112893, 261690667, 321584151, 532999921, 769430187, 320885915, 551223059, 780871092, 958142560, 579066385, 722188340, 783157363, 75348747, 483485658, 276995261, 377162859, 889799808, 433515996, 456180893, 34054517, 683175067, 709847001, 396703449, 476419604, 727972314, 313480325, 966154525, 324899959, 196321782, 883481755, 706985211, 839631356, 845799034, 874378702, 904024642, 547273148, 878608836, 24592016, 86400766, 287648511, 485566089, 376508053, 520576788, 683396146, 383115663, 748919806, 850556146, 591096817, 229376747, 263440731, 694607840, 604976986, 496149818, 151672659, 895348190, 156157254, 500830004, 313656027, 954052944, 313378385, 245116555, 128878539, 498194156, 977995791, 9179908, 258949498, 494211597, 632001267, 162160023, 26849764, 137915720, 717759610, 57834200, 193095056, 384748678, 212914555, 187628942, 459389821, 66906177, 870647564, 520576219, 699846957, 172228385, 460378520, 410430349, 652933927, 977982210, 433974164, 143282888, 459014005, 482080737, 639138800, 76348095, 201907954, 618568443, 859782429, 922448719, 941642798, 525016770, 829450362, 738365383, 780381484, 15566440, 622975522, 131477002, 363473338, 907831944, 923966421, 175526301, 665636052, 642154260, 536437243, 653275870, 102892721, 668764292, 625923375, 17235872, 990514918, 700031043, 507825924, 166335487, 389974967, 754921276, 15410219, 384878083, 167745662, 320285234, 999589554, 648172509, 187809486, 321609465, 948992267, 389541319, 545306838, 300333080, 797377479, 437126453, 579125238, 630531701, 34124535, 44432382, 326260208, 513647302, 64899699, 205025603, 96672056, 168444566, 336819364, 949081872, 25570228, 609957027, 916068675, 551740208, 388862007, 754814810, 331392991, 210654832, 374497639, 269905365, 646975743, 428433851, 408546345, 774731210, 457544413, 415447228, 900545933, 417073843, 395708827, 908205165, 298067916, 605663224, 862952292, 319835730, 29339629, 372224836, 84633855, 712239672, 460360892, 594352828, 580757309, 820097489, 785895564, 593800909, 759161834, 970747139, 74518126, 59310720, 844841797, 457578117, 978488584, 445724587, 687541942, 779738474, 552106753, 872194395, 427164159, 132688135, 551869447, 518294865, 515514177, 712987547, 268018263, 693663735, 857464273, 290672050, 827559110, 867316964, 433779250, 729298227, 925645017, 280468498, 748100007, 34342459, 876449610, 620956833, 739423238, 296635864, 318434975, 153570483, 321083806, 818883935, 385570821, 444429816, 230208698, 107586150, 360010742, 121973798, 407271237, 33716308, 741745098, 25619487, 286551254, 562991503, 265406628, 940408978, 285363106, 196126290, 881543780, 639739069, 619510246, 973472818, 562770281, 230395630, 649416183, 787678418, 943291450, 181004619, 702810206, 883522455, 429569016, 256666062, 116576853, 510938443, 955328657, 609525224, 633213104, 962743649, 884977484, 949410652, 299709902, 607336615, 677586775, 571898555, 802233848, 556754061, 660612774, 164686710, 72538203, 15743479, 898559574, 70298781, 820538137, 806007450, 464979272, 11729107, 76448403, 938626764, 602374900, 206143541, 116584108, 934331780, 385695320, 586434624, 302460713, 707999398, 126804709, 739359188, 599442871, 598086236, 913296963, 481945159, 91143098, 764339847, 997291907, 387571584, 623425779, 15219512, 95183113, 859644165, 615177011, 963807200, 218690730, 651554833, 120183226, 152888446, 394763769, 497167888, 260520495, 459145904, 203772259, 164562603, 986315090, 216730162, 410317122, 406478990, 692391699, 184455770, 566436467, 404833569, 100748957, 302034717, 402218867, 417923093, 660426531, 236121669, 574210073, 607910583, 604729770, 915428440, 756576781, 109334213, 202613706, 284114113, 120430006, 547252931, 808743496, 524319665, 472004981, 862979789, 793755043, 929087563, 839513656, 600601352, 53609750, 48430095, 154918174, 305662563, 543706531, 260870792, 938258793, 945981360, 175281123, 967726971, 571993476, 903502395, 320956129, 188844197, 705827323, 970023184, 329835052, 609890730, 67504262, 203642753, 226264053, 229986421, 732561368, 981748095, 788337510, 547395112, 290376748, 515903893, 146280411, 215341408, 214621074, 705059859, 182933886, 209679274, 248294991, 395529905, 294956998, 638172920, 276031904, 398823438, 936418395, 385304031, 468540455, 430802930, 814195576, 101958716, 351343432, 661476280, 574578333, 669979095, 201284737, 853609654, 218395119, 187527139, 503732125, 776179057, 710904304, 954037317, 462526767, 9363696, 562507199, 565102876, 523833944, 426715730, 263154708, 124845798, 317488876, 386662887, 445394145, 194780153, 471675495, 950697508, 95919351, 104254091, 964876396, 675821321, 734157083, 237985842, 481375249, 107137786, 813241838, 154979674, 67859096, 414798235, 151204026, 148028332, 474274608, 525899639, 387973866, 486835351, 132597307, 529894295, 858677519, 374958234, 94391860, 722804890, 6283233, 81167880, 914976374, 508438608, 405875239, 547620279, 302900305, 60452166, 707631188, 209398027, 80349536, 16111172, 814464344, 694728741, 239359263, 431354255, 954411278, 637973687, 695899906, 448664520, 333112807, 32780515, 614238148, 611081379, 919555535, 768940456, 860253171, 948388273, 379077075, 31191248, 677346860, 796119318, 291346737, 11022551, 126095195, 668836490, 707211409, 897534939, 374399960, 929390576, 764174143, 150323499, 620844294, 671674318, 780677573, 443778428, 663583394, 77396886, 928406973, 179897896, 550683596, 560220114, 424601567, 83213011, 412315973, 355052149, 330453686, 903921245, 981768209, 766456527, 853643819, 584051731, 535009250, 652921278, 400015173, 304725983, 435634293, 760866705, 613681116, 503306502, 102427690, 395253925, 752789066, 434327707, 993499715, 545455215, 908742344, 805661753, 758752295, 194448106, 44051155, 614277559, 308190113, 361214834, 289063811, 423487738, 327897978, 93483468, 101305108, 781397609, 36940286, 53923503, 993676693, 977136717, 493860226, 186809598, 958911233, 865531596, 963905101, 403757203, 789100927, 650374880, 341790280, 143617155, 958155419, 944465258, 833408346, 614281708, 280644542, 428596523, 215641907, 393078711, 274358971, 843271526, 263114435, 580448050, 888554498, 69663760, 224456741, 378348229, 400575549, 175603428, 407955538, 994129104, 894607140, 534180955, 693243011, 323805130, 593816603, 999509848, 458726229, 78363806, 871615027, 238545790, 566910404, 164875911, 847913148, 155033886, 890649291, 420230378, 273598488, 136651078, 403034455, 457573253, 625290420, 369134075, 118972513, 88952743, 292342164, 11879516, 274166601, 873356290, 558031998, 515598114, 356447692, 122972162, 158089453, 528641357, 637344387, 452429901, 932414022, 100746593, 868503880, 733354667, 630182551, 727531987, 474792577, 992176435, 509128871, 472289909, 180913422, 954526850, 40892348, 643743171, 890708651, 518760537, 305227017, 519264630, 157673080, 376857428, 172600364, 756447837, 57217709, 301231781, 342830890, 917237930, 731825733, 998596740, 460595081, 742201819, 638318387, 852533653, 420662416, 857394897, 689876567, 134092269, 62460721, 659474663, 695190750, 954216938, 275123182, 267097198, 78124117, 963225932, 666699681, 127684556, 441050005, 93841393, 931216447, 680396817, 177527270, 786606270, 381660141, 601996792, 950755851, 722234198, 506619620, 925317214, 601282674, 262040676, 65764054, 871712071, 154531340, 611894450, 33526667, 165776186, 608811783, 768041518, 652120931, 216054150, 502670312, 844598754, 719188256, 734736754, 214804351, 318095063, 339001649, 668528630, 437354387, 374317415, 280490696, 8402771, 583525900, 142952813, 497402140, 550577531, 97871920, 402208797, 256639464, 51901328, 688230539, 38617931, 450357585, 381194778, 175529080, 602653999, 477644383, 681590139, 47010903, 491365124, 351996654, 752657505, 563128459, 51047724, 409136212, 365536175, 778449391, 519234004, 383721628, 745965090, 733380170, 855347303, 219235262, 457759636, 506047680, 261789807, 452330831, 590730849, 570442628, 292313337, 271530765, 852759670, 541767254, 46736526, 3526122, 941736274, 215833866, 428731246, 400036320, 307250349, 444452029, 599222804, 200253817, 401603762, 614467046, 591506867, 693533038, 845774161, 944088074, 603457196, 273674949, 578901838, 128165652, 504474402, 55980713, 555927710, 812800052, 674080017, 724028412, 36509195, 504114620, 641817379, 944243245, 832589758, 844374579, 843370732, 841491400, 414643625, 786260754, 416796677, 786268412, 927434512, 913792454, 749210312, 800947126, 926538377, 519822111, 108655348, 194971637, 596541711, 355533495, 11121376, 72830841, 779831659, 491271370, 884692845, 701516054, 805516542, 28994794, 951973247, 656444411, 93380524, 657758518, 41769286, 582031208, 139005745, 114331346, 357433876, 674546608, 180968563, 977909030, 468391120, 790337313, 564289451, 77062520, 824930143, 330248673, 61502732, 125362727, 577959674, 917675478, 200358453, 374982080, 72828093, 887339428, 801620158, 417167417, 94804801, 451104066, 932170943, 857732836, 932416371, 881876649, 874941684, 119389878, 19143656, 798417116, 112132568, 73689316, 433502206, 603819866, 172442695, 382856549, 530223461, 991402499, 151307720, 962190821, 579466119, 954733558, 143837780, 384537829, 783374621, 722292641, 353121064, 596073003, 21130288, 667341769, 635509088, 375299918, 208241899, 507137062, 729407605, 777203274, 953134920, 732079978, 103030848, 264443087, 345333179, 205530407, 639242239, 75890531, 923764931, 357274641, 962127764, 785249883, 589735589, 77685529, 900513217, 401834886, 782081513, 550641764, 347649355, 63648774, 42473079, 753368100, 506613324, 272055031, 368895168, 826172441, 768120256, 958842292, 331359212, 686316735, 26586791, 907079293, 114606242, 40712690, 62951746, 499416360, 75126429, 878417664, 335023755, 911848326, 682278097, 982674221, 232828300, 12173682, 256028523, 513902684, 461973504, 82116152, 643641776, 251002494, 421782412, 95873735, 318800181, 752821889, 437363870, 439910773, 90346616, 562082216, 283132044, 89916784, 599859217, 719104436, 953263632, 36222327, 870229560, 368717045, 699212590, 779134844, 728113442, 769315313, 502974809, 593802086, 198494907, 775705600, 563872884, 639728245, 683406368, 990348097, 751733707, 798294319, 504162113, 415155032, 836912820, 999267407, 11860047, 677721270, 689325339, 420073710, 124771960, 60650918, 193203151, 190970303, 262703370, 215059379, 483987805, 562291078, 532959625, 154667402, 280885105, 776967665, 896538097, 917605925, 957944418, 92992736, 499703623, 483494772, 517312660, 801132488, 830875902, 163635611, 409789702, 640653632, 811396420, 206262502, 969099797, 706353886, 263875078, 374246096, 131812928, 484721152, 202547968, 579071862, 311714164, 388212401, 341364160, 23650398, 227993409, 661605476, 881446826, 138313795, 889138846, 644725334, 762618689, 76174270, 581232686, 866080505, 669263145, 1324666, 86323789, 580084250, 114131107, 882294971, 372293024, 813187966, 824021336, 172731897, 882234330, 836276993, 315641880, 783492509, 193323119, 192710091, 983199676, 855943641, 37696838, 724387477, 247352229, 775447045, 980960065, 103311349, 101086741, 435599433, 860824524, 723256510, 578704398, 289654539, 740743338, 766150735, 486755583, 230193663, 203791119, 909343999, 115214148, 301664791, 857368323, 335746820, 358969532, 731049214, 203201371, 355514671, 725149691, 657050133, 122932308, 242021558, 373775892, 961425505, 880592232, 927104959, 902355756, 965660006, 594244133, 727400455, 790030483, 399636519, 722317118, 111237539, 639121746, 543411210, 245411248, 4942904, 647998655, 610423205, 341829751, 449494838, 681546222, 15116317, 553223134, 132367023, 311555879, 509411899, 958503259, 387742132, 897321224, 775165682, 451060255, 389934557, 219871745, 249701027, 878467604, 588257441, 899970551, 237057919, 583585388, 595586637, 145210603, 757459293, 575323068, 83225276, 685851693, 547014394, 169090207, 158113987, 998779352, 72290739, 496379030, 864355719, 505597227, 380090748, 313829525, 276710489, 582526121, 965127125, 79946352, 283290785, 836860506, 365309736, 712656531, 720462907, 291303169, 48026431, 762642853, 638755598, 430461183, 404729394, 597803063, 570984202, 925273496, 46045204, 781277739, 904415856, 86025224, 11670901, 102157489, 353808716, 273676938, 669699740, 472121917, 629345854, 617387242, 116607220, 203717965, 864906411, 342990453, 956868027, 873833504, 729528558, 712813102, 521590537, 227584805, 585504707, 165877549, 652537896, 435006498, 275755460, 821275172, 690025747, 217518635, 459327624, 269252331, 813789994, 218418610, 760653847, 694250070, 702875987, 763549813, 39152798, 585546813, 807954360, 193325149, 533788390, 814801484, 407986234, 421982907, 550368461, 43828533, 83751042, 410166544, 633066149, 289880345, 335997119, 742165865, 591600589, 896637886, 550276803, 303388699, 106032940, 514236885, 741000, 604237519, 321496191, 168434609, 185162926, 485181552, 23617647, 698588112, 54253714, 986407181, 56165275, 687762445, 865152976, 277525633, 623160713, 845331689, 497797220, 514872812, 730478703, 356838649, 624497124, 152525167, 904212609, 916125136, 69771034, 168790133, 504739255, 545088549, 689680166, 652433114, 655983999, 830846104, 702709904, 913054211, 919371142, 849633618, 120627396, 457753104, 364998938, 835239255, 996591933, 611546031, 857010311, 246198527, 424943625, 655288037, 644419410, 53488720, 104836843, 504564215, 631471630, 542612804, 444472060, 136403629, 491460448, 658721853, 986070055, 983949898, 597379483, 872244865, 489779403, 548894891, 432610091, 644821129, 819087040, 212376528, 826271184, 603654476, 115019471, 340607034, 989244913, 332234024, 943449127, 994740666, 867950388, 967129375, 55314299, 892981474, 154214207, 11463568, 867004311, 493614465, 913739809, 259281808, 593379218, 28509559, 651684791, 518785103, 488338085, 568714035, 875196709, 186039453, 437109186, 463072603, 213459497, 864866136, 346778592, 510437946, 698609308, 251733587, 42812709, 760842637, 672766285, 844205204, 229507204, 599175422, 219536638, 217345449, 496521777, 465432866, 309977207, 344462087, 257622084, 941517145, 103725308, 734046005, 662868872, 94089541, 498074970, 599737135, 477638143, 137328649, 727590847, 659588724, 132045023, 643770359, 909457032, 654043891, 617327258, 167893636, 579195537, 10691652, 584781631, 588668147, 530848613, 191327968, 715904380, 614335872, 809847980, 236506545, 107284798, 271829006, 963386676, 746107473, 84896757, 684731363, 794085041, 759028919, 774948909, 859737868, 859205060, 290990286, 763695877, 459887838, 712667391, 877411266, 368902430, 810969208, 33103615, 408322565, 417830264, 699545402, 116131757, 85573496, 257315905, 100684833, 731637438, 455593208, 387355876, 879262786, 141981784, 196692756, 984957351, 138195184, 580972917, 42659366, 498673329, 513074158, 224380357, 101252167, 258107032, 273903345, 138425785, 452374425, 568057057, 203156788, 22307072, 36863752, 160164783, 113116010, 294182565, 420394520, 497074044, 820893932, 589865405, 308510439, 607037209, 163550500, 547699370, 525331274, 746596083, 290758568, 600885994, 885404701, 967846749, 757686659, 681404931, 721960121, 148255659, 921983383, 986662720, 418991541, 891982381, 299495534, 252486659, 767031125, 82177577, 176788952, 228718162, 860458684, 408282963, 463396357, 576681349, 758768101, 380002407, 880473303, 188974776, 427594852, 54651603, 188363690, 884404092, 888691394, 884855296, 88377493, 569623669, 147487508, 652371899, 477640239, 218994763, 900722460, 308463869, 619848495, 887742107, 49430541, 237916230, 144524521, 155321613, 848896400, 643731533, 276631978, 377136194, 338516979, 44782683, 59551720, 22059063, 11417117, 568287128, 365510514, 492781724, 890960618, 291204431, 264500704, 44796355, 612988664, 649894723, 266429432, 930410395, 648366574, 332149948, 672702468, 414226126, 416546410, 100174965, 640614963, 679059635, 831229691, 91318813, 124795674, 147493545, 715838549, 414436248, 827880429, 244903351, 179062113, 543748725, 61368530, 613691224, 600688765, 814433781, 591303154, 589357245, 174399789, 741087890, 781607323, 926959056, 185722169, 401635318, 620399877, 269209259, 365840486, 446785275, 710003014, 960880742, 331611378, 136835597, 226822348, 702857273, 54918201, 603734958, 487211313, 558458664, 942962874, 208669945, 872458532, 582585513, 198486654, 794821080, 443706185, 308022316, 62874883, 496708371, 707407335, 286558131, 892833823, 741090574, 48766459, 148905351, 459387068, 747950176, 593002195, 164451411, 868360538, 953808913, 136345247, 954067342, 306546891, 103396710, 675239335, 235027438, 295474443, 522598855, 321444862, 658887558, 535420894, 261440519, 181136431, 715042432, 827000337, 274656634, 944852299, 106944309, 850578292, 753972383, 876727356, 194638349, 433433428, 725143282, 500186622, 32008858, 472126443, 908041509, 696882483, 348196647, 57415631, 830056181, 915594092, 971963923, 496780280, 879987140, 51195141, 171194056, 936838190, 495283579, 527075414, 954150524, 692886554, 996501084, 704287156, 210295922, 828761003, 384231296, 282845331, 285457086, 109520499, 38511264, 153700676, 57970481, 543760032, 38431498, 916529700, 443972221, 698730293, 830156018, 315498345, 808117606, 922284120, 304771371, 459897213, 70984710, 184728616, 10228356, 37157839, 112706015, 483268013, 291665557, 393474139, 655926617, 115962472, 517021692, 739419744, 41465045, 899653124, 697028159, 960901846, 457655354, 660749561, 119191490, 591962542, 158620584, 369936259, 72850582, 211770581, 46388055, 566385223, 950796385, 772219010, 500948779, 369092085, 436001983, 840986407, 408691860, 981125374, 418408985, 163971902, 688560997, 925582038, 183454932, 399957002, 375150239, 399624638, 373392627, 640263578, 825277396, 16054354, 228315716, 687325047, 866326612, 198071754, 257593554, 680076376, 424479921, 615979637, 40691332, 223048730, 267236346, 912684453, 357107196, 251264265, 184787957, 116699880, 297429752, 80644218, 349605765, 466946975, 162614080, 765983625, 144798283, 621402039, 139143498, 61640338, 299452707, 947239294, 153112370, 951084603, 252341642, 9256144, 5363779, 982550865, 597581359, 967283876, 890877554, 697179344, 843193203, 207665948, 764300323, 849739076, 760520068, 299767068, 329258394, 490910741, 947232175, 749670398, 414260201, 447269635, 384071473, 198344721, 457533806, 367621769, 76813418, 932664353, 183544970, 484888238, 717742795, 12363692, 95203969, 457541127, 786197880, 55096675, 511837946, 950402891, 764416409, 939488939, 783600437, 36863071, 770809938, 206857269, 145838751, 998236392, 179572012, 31377073, 633152837, 796909245, 442637029, 551047345, 695245511, 962759979, 344088121, 273989884, 83482427, 172445160, 996751338, 848001052, 677851105, 133077309, 606828062, 951615373, 374784151, 34263917, 24001323, 536306379, 800709041, 541045274, 819571038, 492339749, 199821325, 686077938, 372067950, 688598769, 618945936, 881882647, 602682617, 136293800, 897920575, 105352081, 98388145, 720875509, 170803946, 908966878, 881000269, 873510117, 241520735, 824215315, 128607399, 7328897, 869085043, 537136169, 388904416, 365561659, 187471024, 247702166, 384412518, 467967661, 201322007, 914340918, 39485020, 504049779, 36338550, 930843788, 296604556, 29102342, 331940126, 273597875, 909741412, 366274775, 407747767, 59921482, 812656938, 233090663, 199568068, 650922184, 508017943, 452059161, 135479816, 463573106, 814317210, 811024958, 595072358, 601544086, 138171329, 198688730, 969062974, 578494166, 954128020, 956380917, 890500789, 17961335, 458453453, 98762315, 949598717, 26464658, 797161262, 870066732, 502845543, 983025902, 49799171, 724108195, 730394506, 761752756, 278091107, 955639156, 269440808, 646829544, 783707526, 438096453, 554399815, 313713944, 249442422, 5875001, 403361200, 744454165, 94950522, 671063371, 59416481, 353992202, 346886243, 872913344, 851921857, 725274791, 907008788, 847312803, 267778449, 889269255, 605780001, 112589874, 889957533, 58696463, 296169882, 902577312, 963848818, 650796079, 86752935, 773397549, 192512408, 275922211, 106272291, 984163166, 238344217, 325875518, 618422164, 926535852, 75339954, 28026045, 188773680, 222912981, 888003171, 30218660, 709373213, 257371274, 956838066, 124135810, 749158049, 334947817, 682420113, 736980145, 866424571, 802482438, 955753912, 903762957, 688702108, 990045998, 838149313, 475317011, 855384076, 424876854, 705039228, 205102928, 682506479, 712972337, 553785874, 996820573, 235289221, 378645217, 250940883, 399635808, 323421299, 441279243, 993609738, 847127772, 264914189, 571461192, 968962449, 890836679, 473281102, 690131248, 527428776, 212296459, 881000475, 743153208, 940788300, 401440071, 797245299, 25892000, 671009057, 223776151, 810672109, 647569985, 341837708, 66369105, 241384482, 770241753, 962057038, 429073655, 586033020, 641518709, 187349297, 498045289, 799077624, 335151242, 348793284, 476985267, 731057990, 925248003, 203948978, 880754920, 18211685, 527036867, 83509930, 154841882, 899257668, 934332126, 966161573, 658932734, 336405341, 625522751, 400965072, 635102902, 981038382, 112438657, 183658835, 350373066, 854175534, 928050500, 220216765, 345756417, 213596285, 694104845, 712984122, 177769596, 101378097, 755259014, 170232172, 33010391, 445731474, 682313753, 210792749, 928219640, 161804515, 457070794, 243940709, 999422485, 62357675, 677305767, 799566305, 256366758, 718561800, 522447283, 892431174, 752779620, 839630734, 674473247, 821141736, 445696039, 482277838, 556548765, 547963877, 919917278, 843892034, 68000371, 98039503, 788502953, 652469514, 290428525, 79920572, 152777653, 124202543, 647448126, 293476546, 58790877, 826287245, 97612527, 421205260, 89247945, 303822970, 943397257, 997205025, 783408089, 497937870, 156406501, 976012931, 41883256, 923680944, 726879100, 135907818, 648462178, 19614846, 263271018, 213150468, 758254971, 730564433, 331021598, 792387378, 480776255, 805791403, 4147998, 863456112, 565002724, 64224915, 273736960, 189435554, 450840036, 713361719, 752310638, 165416133, 735091636, 302702511, 786327632, 539024188, 457886859, 360097980, 699510643, 365842122, 839542393, 302392290, 207008214, 654995679, 347838400, 45513521, 118570262, 565915016, 80321779, 896314320, 947603528, 550372470, 967487582, 663764309, 340550734, 457350875, 283962262, 836242737, 899452089, 883792457, 375476994, 520154675, 309461717, 24695042, 805151601, 744420282, 560860255, 958235923, 319950784, 4370193, 330861832, 43669714, 966847495, 986196204, 962607216, 574118904, 131065891, 806912120, 288497184, 342711042, 887158421, 630123214, 521313688, 105636722, 2655171, 447884461, 715874520, 287760155, 584477795, 139499764, 821503500, 913451682, 437232054, 919748915, 438077464, 328464159, 950269223, 604842971, 219119524, 677563304, 267585330, 130894815, 447246374, 35188383, 579934949, 575501066, 754879699, 408057314, 582495362, 99890820, 369111510, 353840634, 520159517, 996319034, 330200363, 505910364, 490358340, 98573330, 746774513, 976089548, 326261148, 211606290, 301974681, 32453376, 187628855, 706220154, 266456704, 771025575, 767156255, 131509619, 133099766, 36694657, 143759499, 72916699, 260778307, 677234543, 616996725, 511017898, 91795485, 841354865, 101665934, 716505498, 116654216, 52955875, 737284050, 814413935, 486575248, 9225306, 377908004, 506155221, 173173061, 718908532, 111904304, 654951314, 326477433, 487309868, 287417449, 198145797, 45566920, 218344393, 594358997, 876710482, 511420617, 954631763, 29166989, 850492719, 423527165, 498115909, 225975364, 393018627, 414532528, 676434769, 906265432, 815693708, 46597158, 881720419, 301463197, 433345913, 332610144, 559850456, 156461569, 12364193, 722681750, 596073144, 491980362, 400314950, 791799445, 881639712, 144914710, 87980605, 679558406, 382980567, 51603628, 704923440, 936828833, 319327707, 988402311, 336575481, 817964043, 484540266, 588690096, 203040295, 86302114, 901868979, 715704755, 535573880, 565327555, 944550021, 675048032, 830134317, 929201513, 107313110, 845175834, 693359038, 831439917, 245571616, 458515901, 776932486, 923331647, 809801747, 148157887, 309997250, 743596641, 890587055, 785609264, 822928229, 802216009, 771666979, 807336347, 680293660, 394111599, 979158359, 929587947, 747251656, 338936103, 931886508, 238626038, 710454406, 181847399, 307705614, 765709447, 281852735, 485390733, 55271567, 445314599, 926240899, 746405811, 568999617, 276280178, 894251877, 972011301, 995999422, 744453707, 136487775, 348528870, 952148338, 265626889, 600721204, 63965895, 547567387, 141707828, 925880695, 149632675, 957257134, 442855224, 16447293, 1012486, 925520772, 615924640, 274750649, 176715892, 713624269, 946377145, 312371273, 149006194, 322432733, 649099672, 700606494, 359837420, 626242082, 962897007, 77221009, 242672328, 308460184, 550656049, 733454960, 687614371, 471679182, 155730734, 526123019, 167330397, 496370944, 385114149, 583451367, 566123946, 765616622, 625192242, 170722215, 566506152, 27656839, 420519921, 822770969, 203591839, 385178148, 31031511, 395592333, 299559057, 399287312, 64907625, 188324304, 539492040, 771584479, 205842279, 191054617, 709549916, 808014420, 778809154, 645115392, 805745505, 20498154, 923634785, 186611421, 688362263, 620067806, 685896917, 405011648, 760372680, 799720770, 877636012, 404230945, 327663549, 675135255, 982073326, 536765066, 118344189, 197461494, 646990416, 123959371, 79407616, 703044508, 559255963, 547391222, 176414949, 748131916, 419779476, 55241075, 114522351, 63169617, 225702573, 829262729, 57812417, 987729207, 671635717, 543152592, 471377320, 854427222, 844195203, 803553350, 834449193, 257710068, 495310482, 150154245, 804767582, 894590612, 302024537, 542022378, 881232818, 153927464, 831522290, 629504277, 777577052, 586819313, 800500688, 310613952, 285434120, 322352221, 659437239, 312283533, 74111071, 101577379, 165657841, 365909806, 850205639, 815014067, 32749396, 407814276, 820957496, 714794593, 667682930, 195066389, 49183169, 575931182, 277368613, 927261022, 99554512, 824188652, 804066039, 629022409, 777274462, 609370460, 314672508, 382293768, 641968462, 855704489, 845958760, 486783107, 261072940, 383242908, 667431563, 687205682, 623897420, 397771480, 633160544, 210814186, 639679568, 344980745, 650612714, 380594087, 83191867, 524526447, 892456242, 691605294, 657434012, 226656536, 265859394, 743384154, 789521566, 342064142, 984342519, 181939781, 566268652, 24851836, 950682048, 627323616, 380522292, 89355887, 959947357, 372772991, 848607859, 79388386, 378993121, 262566860, 581817379, 133746910, 473050738, 368229370, 218813564, 885729487, 409589929, 579410253, 507875756, 448072226, 392139462, 111479524, 107377107, 589529402, 257198334, 817061131, 311255115, 274780460, 145040133, 998166310, 607028316, 582180129, 441308942, 102938014, 247731102, 853945771, 298227442, 221264617, 511752174, 766543916, 50499969, 165772526, 384219624, 115829091, 2367421, 311011379, 472805209, 561281389, 474171987, 748418254, 28335805, 136455944, 702837490, 332639635, 383908050, 855068671, 352844135, 535891421, 562272017, 770537657, 404906905, 244769737, 303337422, 511037117, 93527889, 415022741, 794877517, 679957810, 424438605, 320701136, 94298694, 166317979, 174593, 389544816, 307592242, 239802673, 266491468, 115991046, 895449873, 350083675, 70291856, 265955930, 424096749, 257592064, 456360793, 684307654, 991028140, 351972866, 458307761, 782666670, 265645204, 156066507, 23868504, 853497616, 22277401, 265352303, 532489728, 842814903, 291253772, 876669091, 961336801, 552523548, 97451596, 847767697, 313408264, 546622186, 288930722, 678242749, 14715369, 603212967, 281694459, 962390248, 516800226, 335841047, 124004008, 202794648, 260290609, 492978206, 566058267, 93390045, 822338887, 608136009, 556739265, 658400649, 516167877, 625693403, 858689197, 948956101, 103606966, 442631603, 599235113, 821452389, 489106798, 587224174, 208161660, 660159015, 792635278, 629279545, 50108619, 251405775, 218803989, 642134028, 531643663, 803782501, 126116728, 674571683, 542427750, 953196139, 569450726, 945241715, 924221720, 494771469, 448635326, 949470686, 688917131, 379596859, 574429623, 654497424, 713697258, 275009290, 989527747, 346253453, 905547881, 5328474, 350699177, 27455170, 164384294, 611007739, 255539035, 82610485, 352191779, 520221923, 166323663, 584103542, 391559100, 606355616, 874384028, 520595192, 136510305, 575669013, 121931018, 320268548, 717590146, 887668689, 790321793, 321318078, 264499229, 343358706, 485899112, 464062975, 553556753, 87398585, 508931938, 148674359, 392140704, 649563745, 311852860, 486518897, 665997808, 869675394, 418139858, 772482595, 227760986, 522808311, 469733987, 362412726, 639895434, 580947112, 853456300, 401366332, 217909416, 397304907, 194218515, 227275450, 959184033, 42692381, 223239278, 51074202, 820382348, 144304974, 424949994, 333102520, 977514706, 242413955, 45922446, 793686541, 809616010, 736350201, 94882249, 907619930, 18000221, 823814338, 768347536, 448380996, 684827590, 744682623, 519354778, 612366425, 207375437, 867384610, 355762829, 955028745, 242280132, 421739389, 111930569, 61578250, 692623722, 176819069, 421864372, 656829903, 907963139, 434635513, 648142759, 233755860, 711255407, 556000186, 312114340, 696497583, 525604982, 583211195, 305270208, 924006671, 802073061, 385907806, 232882645, 507620552, 742376418, 491133034, 979290930, 684667940, 845526429, 174114750, 875995657, 694252185, 507814305, 392505782, 309918901, 138217640, 143915156, 714178550, 910922611, 72681514, 543728367, 858805609, 901069307, 421235914, 347684762, 11326293, 638713344, 710891495, 866878958, 949757627, 828463297, 113326110, 237854690, 40645808, 581456260, 182621670, 868910465, 892934075, 485407748, 661436725, 657885281, 230659343, 439634489, 287298576, 529481175, 336648287, 880156439, 567987037, 639159217, 924252316, 71372731, 512096368, 125124149, 192388811, 770682452, 333730594, 131779816, 248590847, 220932961, 817238918, 9112328, 665310274, 21894608, 945469452, 406772486, 558859579, 584693790, 453283447, 960593469, 386002234, 782677814, 567303967, 418504810, 253988569, 760607100, 957424428, 115498050, 800415877, 97065195, 91063595, 922688448, 599369805, 632179925, 938073734, 24934265, 347256350, 935712743, 8892311, 428918144, 781329861, 193466861, 399056844, 329353385, 442521379, 402003438, 321254447, 250407839, 317490634, 156271654, 52540908, 746767154, 988158222, 952822414, 391446051, 364744932, 891163783, 916575741, 137590607, 322304420, 429546370, 868171115, 848724281, 350917578, 27187418, 638712021, 274537567, 198954824, 544242543, 471665800, 108113253, 468410363, 223915439, 544651337, 27566092, 884705913, 824399386, 952793361, 166727744, 272460793, 176216274, 260702129, 541630648, 257763599, 379569049, 740745560, 537642830, 601710073, 993889590, 232243982, 577904117, 477009042, 343034145, 188106603, 860151377, 65969627, 706097285, 933103743, 409696314, 862653049, 745287317, 564705448, 49919969, 918651739, 684984753, 371448031, 282351455, 648622124, 971513679, 776167169, 374782771, 304061260, 203620868, 960948075, 413714610, 487424637, 354915955, 408170403, 114535677, 83399390, 87837462, 315024123, 741381059, 652355331, 300857269, 511742102, 245333041, 874780354, 358883510, 421558622, 154921053, 909647103, 379251750, 112948350, 275332583, 20261495, 648315402, 475794599, 72172620, 559996483, 267803103, 772042821, 503791142, 137152032, 808331643, 383253068, 329702180, 621861527, 865335763, 452284975, 94654169, 618503811, 600539069, 55019338, 9199585, 136976437, 890106114, 310509021, 469679665, 159245851, 16694420, 629914913, 814948333, 971679887, 156800207, 76389826, 837415856, 673454053, 257647030, 348447079, 998546970, 410983318, 824166951, 633453973, 134189369, 25951043, 119926895, 506605979, 303809204, 319210862, 731961940, 77263495, 515734132, 379863116, 725039007, 677975235, 375872688, 277141929, 487024445, 807825025, 938283193, 522931358, 166873324, 931124172, 384959464, 539283199, 21130792, 939075793, 162083306, 880348607, 702969219, 652259334, 433844700, 97877026, 845383503, 951601084, 532447415, 15701709, 102865367, 252512806, 507659276, 882532886, 204035579, 77223968, 85262455, 63685061, 476154358, 470234898, 493304517, 807253609, 556241519, 967245257, 737680086, 721755254, 564136978, 142648193, 570282230, 258185363, 259599759, 72808483, 769946502, 82164097, 842899924, 842779106, 772796744, 118151770, 603686263, 252483591, 573041396, 161608137, 891061865, 12148980, 3132992, 140153934, 676340648, 505103390, 713865228, 996057486, 964902015, 634694077, 645916121, 216463960, 998578644, 830907424, 484646154, 155650075, 149797316, 636027012, 628214476, 994922679, 943055928, 99032617, 741244721, 19112929, 401899545, 769559701, 570681216, 814791755, 418221227, 991632177, 711745191, 907463145, 814784181, 124718019, 359305435, 464489813, 355724391, 949943664, 610441245, 673124619, 169463948, 332533738, 105590575, 448351410, 378839252, 428155041, 506876306, 141115645, 327541578, 574136045, 856172002, 920387330, 39637288, 516386315, 721213185, 652253501, 949557497, 840886450, 988613749, 771684756, 607942710, 667222148, 651859707, 604403750, 948037901, 947439121, 702719523, 805211212, 469431128, 774465653, 431494590, 448654297, 257236322, 184014875, 861699969, 966924629, 515256098, 842143360, 10979407, 147869792, 266213963, 296984948, 830910586, 905008730, 679172113, 382214135, 364138373, 220335412, 772447657, 542742972, 460522524, 624460256, 224746692, 175879881, 722951998, 59430356, 471760728, 616405508, 657872798, 713757023, 416050428, 178772039, 452996443, 396761309, 624754636, 506835889, 198718057, 59568812, 180825111, 281811274, 512099533, 683569413, 132667282, 26694933, 206067911, 633028265, 975555803, 664834465, 859592919, 2092919, 988377135, 337358698, 490732997, 323898306, 282909677, 781941410, 560493898, 984775412, 244760483, 16950638, 249460451, 231669105, 665975801, 49711181, 648215497, 995118057, 106405882, 80192668, 442706891, 38913491, 657343114, 748576883, 317354035, 332293273, 40919614, 962218937, 160003371, 365499399, 546276713, 784804772, 879203035, 666009196, 383036546, 148085161, 498580742, 408158912, 100542125, 919615166, 699074192, 335238095, 938571496, 954245333, 16797974, 672948892, 566360057, 966243698, 231397941, 6841622, 307927711, 526622671, 108107125, 561470341, 827664373, 43745898, 910488158, 517183776, 352309669, 524712287, 131894282, 891368910, 797843497, 500722744, 475223692, 385622953, 113373146, 544758096, 89449256, 580124250, 903211032, 336761014, 925988394, 632132359, 920786780, 781487612, 695940963, 283055038, 274613142, 819434512, 679286066, 161014099, 869344106, 980391205, 565688282, 763566690, 552714879, 285772718, 980667010, 681682390, 980403014, 201873071, 156527312, 485843912, 474032276, 534755443, 982246948, 688358366, 653158331, 951310587, 824437726, 339752512, 197481138, 571238134, 831793252, 920368751, 464088550, 10044520, 575646634, 458562328, 2463168, 922642254, 53118944, 569780729, 226505881, 273242521, 3747953, 488261998, 332244300, 923643392, 963781658, 35064071, 409295007, 737810338, 102829021, 477804603, 468587202, 94162050, 897494305, 483586061, 666918802, 774970022, 643861862, 908763928, 78940338, 147459273, 310421260, 781988236, 811372016, 221428736, 453275640, 354544005, 942270834, 767647119, 672599557, 740840205, 771038670, 760401275, 519097686, 757511930, 355120760, 169456949, 693602823, 230484995, 412436124, 581745292, 157234485, 717038671, 204482390, 54310059, 295898021, 23542459, 854638491, 256245636, 710810834, 24062096, 38406881, 572598651, 315411401, 326035697, 433413938, 6934338, 258213164, 319822325, 805776355, 469702886, 183621607, 588613059, 22872772, 973202594, 426259034, 249416213, 598104853, 811778909, 752053666, 874860909, 995191255, 717223639, 74003888, 191646178, 649017213, 147743350, 712568738, 102755377, 89297589, 748701590, 78485848, 268012485, 427136352, 10768067, 130858380, 70575757, 12759554, 676485131, 528920732, 546619471, 647035637, 73009510, 430623900, 440901304, 563840660, 263105867, 762366571, 372282300, 744282613, 614712730, 627970641, 144974754, 915829522, 708251194, 296966673, 99682665, 559879529, 900728319, 665495880, 679216189, 132753726, 596146911, 302519734, 129133811, 208336943, 545696878, 334708524, 982427984, 326869079, 434592937, 458486353, 395707077, 238885676, 375230382, 974502180, 387226914, 631420781, 641489697, 207986154, 891528722, 228929079, 481455946, 946817086, 861215048, 889110188, 657470669, 653865456, 895804587, 981930787, 326255366, 28509411, 921887237, 187498572, 453926427, 235801906, 430316652, 410661488, 443048691, 156257064, 558192262, 326669244, 32006769, 758405829, 867047520, 698148327, 350024993, 395065382, 420696878, 90262026, 754398689, 316388702, 241681320, 606340730, 30563290, 121030958, 385443014, 76722806, 550854881, 357772907, 787539405, 930114797, 74235013, 53828148, 982292997, 904269365, 414214512, 606592673, 897700268, 618921090, 302979222, 93922354, 738106922, 790387865, 948623582, 267362248, 583310450, 770022364, 787796485, 235283489, 693130416, 738982517, 660944922, 328974591, 71121356, 322403720, 884364535, 63433428, 800819319, 504665681, 210672182, 450478704, 60958641, 885611293, 149546624, 775730397, 729602160, 782174638, 640673740, 920798543, 773104281, 658041104, 516131797, 145395563, 534300267, 91876666, 70740999, 65624868, 208205280, 584970717, 916520998, 432502864, 443120508, 227465431, 704409253, 602984463, 891944368, 862988358, 170540466, 969861920, 482270336, 791079692, 577119380, 908918704, 32082250, 641875440, 163527046, 679966980, 11763937, 640754868, 8258014, 498129533, 939304914, 420778900, 204482935, 361760433, 915698657, 447110693, 90005292, 151049943, 435081578, 834868844, 873093574, 288936286, 712945673, 348642412, 875713234, 99614747, 232462595, 524682314, 562103172, 876989413, 483269550, 999609699, 169830031, 713117376, 965697637, 20239571, 225758166, 903535883, 374079828, 253771625, 868818423, 541339087, 46942653, 409357230, 511376734, 691245812, 464279741, 514069645, 118678563, 158598711, 805950994, 139679048, 760245860, 444183, 821571781, 219788733, 775170490, 147018538, 456500815, 781400660, 278765722, 242784448, 529240759, 459762610, 87328849, 679979825, 106538133, 542046588, 74758521, 82653175, 154020037, 814313796, 885728863, 134250889, 400707306, 69012541, 740725445, 787215384, 324255418, 831269772, 350551019, 477333973, 976371196, 231444016, 665401895, 424003476, 73778677, 958532511, 623713776, 282379763, 488844712, 276865665, 828406296, 506177294, 394668715, 451148759, 794754040, 204641626, 683690922, 890962714, 744664964, 428532173, 615962344, 872583214, 182244238, 644692567, 504545728, 287676979, 463729129, 620048412, 692410111, 447092074, 931046600, 505715250, 41907491, 563274602, 845146003, 628171043, 328578123, 864180832, 618099785, 730264251, 814607000, 165853774, 185436173, 609533906, 692707255, 270736675, 29019359, 435497882, 655967911, 710672006, 616077275, 220730677, 377535116, 267627227, 611374490, 474087001, 790284767, 845225066, 923038372, 829463259, 204426960, 351569485, 947564201, 501920111, 961835301, 985051472, 580124237, 711637807, 843961731, 113936248, 933526727, 784190617, 905871788, 693592011, 941243778, 837510101, 844216780, 706794313, 920401188, 889083302, 64026971, 161670171, 601006344, 310648226, 260226635, 946882589, 520040788, 265202141, 464470970, 123445432, 94596385, 473632843, 198772038, 821681351, 226512127, 54151318, 650840644, 319756097, 681926872, 238441518, 461600469, 670269757, 964985891, 91173576, 19815433, 134526539, 916019356, 791709371, 911131257, 852095026, 432154215, 18795776, 36765767, 903941066, 230782634, 14485278, 685462709, 413231623, 157360440, 904202745, 185339885, 300384331, 178325625, 704937606, 306416028, 646681345, 712835004, 917761156, 360832415, 361813304, 332146855, 227320892, 987308335, 176353816, 841033537, 202971603, 33988533, 153988220, 742770943, 987901658, 512476690, 762345161, 517741626, 402708342, 327408797, 840568507, 935057889, 723913172, 665137809, 296724441, 711676104, 534899259, 245269356, 20466150, 837188529, 101027265, 787885177, 223006481, 959673520, 738606173, 206608367, 855973134, 204024839, 449220299, 249312034, 984953386, 194468865, 605319418, 652639866, 705031148, 436366908, 939401348, 976133584, 499780581, 325993926, 302626630, 508915681, 730245254, 10855096, 117564498, 358028272, 65706377, 733195896, 813052643, 179023695, 244898547, 510371782, 133176351, 646003779, 383461411, 477177968, 78971816, 198720150, 723935961, 256004754, 464702135, 612381065, 877696164, 224273695, 259840265, 789471016, 802730620, 304231569, 206873051, 428027609, 539339670, 532659459, 200447979, 163913108, 95999872, 880665755, 335611471, 556822603, 943446432, 845876775, 410743986, 277799891, 673275401, 353006731, 128073372, 571214183, 296219002, 267368169, 651799078, 760948274, 29918579, 117789741, 349610255, 918851194, 116903705, 920063679, 69430973, 882052704, 204207097, 672257556, 981661706, 57883684, 658150236, 348021039, 231074407, 209496169, 984693675, 907514560, 351813812, 583020688, 85715072, 762339238, 84021212, 198036193, 562143209, 296317778, 430470388, 60097471, 500004535, 350546737, 153843844, 5162870, 929602912, 497762452, 925812926, 854868191, 192153749, 504747170, 217711973, 458172402, 225778221, 595407557, 380260469, 596617299, 745432459, 795486718, 839075978, 156300902, 693333394, 381997715, 63374101, 94279717, 174366963, 310625195, 173889480, 854767337, 594229641, 243882919, 56748180, 672541334, 691896907, 21508322, 703407706, 752606219, 44475923, 872870919, 95680161, 785717086, 646556049, 503372333, 670494213, 223624782, 641547364, 846116001, 895362711, 129198008, 56494186, 93321223, 979766843, 779811242, 762698193, 206205300, 254698645, 995826742, 828901204, 164014293, 602798096, 684485452, 676241545, 375566612, 13741541, 533461482, 590781961, 746192714, 38570482, 626886055, 468401313, 216253320, 499658690, 411173234, 452885947, 833255196, 476103436, 857759466, 480324297, 672518813, 954279774, 575508521, 450234252, 686310950, 434630947, 449604567, 817410996, 391036102, 746577379, 735404594, 432329065, 722353206, 448231107, 426881862, 422013430, 648170724, 879372482, 540423409, 398686392, 414654241, 950490915, 350800691, 660528578, 623052166, 393852759, 655815078, 725383636, 606891047, 372821736, 127095834, 103745670, 817693365, 968030415, 869044305, 717288729, 339611649, 580584959, 266309627, 850433717, 575832531, 19909616, 889215460, 706783942, 874382670, 83631618, 376455699, 756829362, 701685073, 45860067, 702544542, 697943443, 537133654, 77559212, 245625181, 986532722, 809868992, 727421633, 176925806, 754086282, 726594002, 454140940, 416974818, 408023045, 460772075, 615198392, 533361006, 518140758, 17144931, 802365626, 923449252, 532920938, 376298069, 493486392, 757683207, 872120739, 880557660, 806614015, 87577539, 655270983, 772832340, 806752711, 616473969, 541966185, 803674710, 671260847, 31806718, 977599834, 718115430, 117741410, 310634690, 31260465, 220794242, 323699294, 606299787, 12451463, 349642080, 225627172, 494224432, 995920593, 578570587, 541325730, 607006767, 942873136, 653777872, 764898245, 685301382, 468595858, 296465279, 738742491, 256866872, 234632488, 518772213, 727059795, 36048654, 837263275, 672234638, 583537796, 284538590, 209736878, 907655008, 536930828, 463796715, 392898656, 143286259, 512161555, 164505205, 299654308, 629099174, 39025237, 599162100, 813765034, 632109916, 457490633, 637688106, 791386669, 515111128, 87091655, 581644586, 521555587, 928281895, 499276459, 671372076, 360940216, 904319375, 266275316, 162491200, 449754561, 90386962, 175878599, 62532370, 156718875, 138869011, 704796982, 161565104, 897513235, 360018352, 736621532, 925648584, 398970764, 343034136, 228124188, 695975888, 653920606, 723928403, 545179233, 354943304, 96899462, 539161102, 76774562, 848155736, 824009099, 79042692, 605125323, 387670201, 770161055, 848359847, 794200275, 151035011, 543079422, 827583484, 605813526, 54926168, 379125994, 452726874, 674643433, 235799421, 521388105, 892991124, 628571215, 491215354, 558070874, 37488656, 11434335, 642178394, 733636153, 835571704, 177179527, 545295526, 109193016, 597510512, 819786166, 783729396, 394110241, 398122918, 157315047, 233351415, 156759936, 198591553, 90696858, 523593450, 533590771, 744433408, 425612365, 464613551, 231680588, 965910490, 647234837, 106042149, 828299354, 522111046, 2469940, 283653736, 433036686, 817726229, 869896847, 568112837, 785459532, 346845126, 15397926, 486446761, 697112012, 467822622, 695222925, 585246468, 962983570, 733453084, 743365278, 213458637, 573508129, 65616807, 795717057, 622252640, 160650977, 656256515, 408703293, 313392453, 778351653, 250667734, 822549377, 16530247, 467378349, 774888868, 158360708, 479412723, 971818131, 593703772, 46291126, 2558779, 3228184, 978471398, 530339957, 920829925, 35017471, 256630908, 52704956, 883690039, 583368899, 453523934, 846408854, 197217373, 853452421, 810141282, 441347032, 756168543, 31154015, 211944515, 156415743, 733046031, 566943074, 102320811, 234990582, 585471199, 95836413, 143442908, 429799179, 541590241, 9669593, 241286746, 507735921, 311941628, 503881128, 941084556, 293879435, 761661097, 664112573, 846038725, 301889514, 714610667, 898731997, 897206231, 246280890, 975055014, 205101102, 621911861, 175845448, 145828544, 78377609, 279771640, 792452251, 564075561, 448884020, 414466901, 312765262, 583203850, 734998825, 29477951, 134146871, 513988661, 866806726, 769587021, 695975301, 874303028, 23668097, 186419191, 347309189, 598347435, 538736184, 192090556, 360378836, 91337668, 601013277, 741518938, 505414431, 381489917, 804808785, 127411285, 394917322, 430194671, 799681715, 290507930, 143013368, 133732367, 8181551, 123280320, 32820614, 454525438, 532904873, 872354131, 546122045, 61803641, 369154955, 692841022, 400483069, 976854131, 728122161, 754083376, 349250425, 482583982, 988201272, 760387406, 88113192, 619484530, 883445421, 348770543, 888627075, 181550778, 564271207, 421721432, 399162427, 826214130, 129036003, 69710486, 972277669, 862450297, 855630877, 602973476, 572368955, 270146316, 880407106, 739145102, 619815685, 325005011, 503950437, 506447594, 983446286, 298549562, 899168486, 382286278, 900748382, 345708495, 357798383, 777728590, 17108229, 583820289, 474900826, 93968957, 308974662, 248902693, 545398954, 34478476, 886520842, 686565172, 740473189, 237073353, 795289459, 26960251, 807461566, 482631557, 858100702, 22324038, 924198463, 934759844, 478106299, 473122790, 158057599, 296891234, 125952218, 887875777, 633403511, 717867609, 792215481, 82940337, 484384971, 451417431, 640020668, 293157053, 360099952, 979271387, 80279947, 712171932, 299883613, 81220602, 445998107, 880634770, 547820208, 879656103, 500428543, 939192689, 193106141, 750026716, 56125957, 534500560, 615359392, 948553787, 738719150, 691833572, 749926490, 133969289, 159939301, 106604119, 285729824, 701872110, 597122627, 62325443, 303301146, 592718344, 6744491, 985816055, 113618367, 524537496, 781468138, 896823381, 292838920, 374419958, 471555855, 677886680, 459131942, 219778735, 883291579, 446899661, 638798411, 445158339, 267090132, 851736777, 393093579, 864275650, 706520854, 526803940, 563112259, 265327338, 318871059, 241461398, 582044374, 69015060, 994804516, 301278941, 777151024, 381024395, 340263783, 525235406, 636680333, 636886117, 934518113, 137186923, 49900761, 79317545, 363070987, 736017769, 541669152, 834549908, 655634101, 43689533, 488556352, 846661743, 581610257, 492440007, 259656371, 69687482, 244222736, 493752527, 871115665, 357508250, 461142929, 129731047, 348124999, 768318297, 969663737, 533803618, 824244744, 738672072, 162024191, 732465172, 977647920, 161270837, 353385850, 876252026, 726037822, 40391381, 706436649, 940593782, 555213490, 226617543, 492787311, 500362154, 915133167, 33728553, 971822948, 668278397, 760978683, 132768472, 299903243, 238323055, 318478598, 286745300, 485430946, 717954039, 892421576, 570264864, 558757904, 338452072, 463029786, 675810341, 391340686, 21656789, 834333949, 941586056, 843434526, 641223367, 875950660, 389079973, 404152651, 375326771, 729484622, 688349326, 913192695, 80685989, 56765421, 860292112, 304016101, 553108086, 892240581, 673239024, 172609026, 74033588, 612904827, 180467526, 606685997, 886978836, 958757568, 456054058, 681436707, 244410377, 484070934, 449349627, 402286284, 680104516, 623921198, 49763657, 684860217, 17865000, 368019477, 740884351, 79585503, 344869439, 274375640, 588836884, 194688716, 354825530, 630903398, 247498336, 690326432, 184849708, 771651982, 761705307, 353227566, 809911976, 574097937, 179178601, 959062006, 990206177, 267717471, 320646780, 848047033, 574950047, 286567244, 832678160, 898742207, 718194247, 207440483, 998583962, 296380298, 987324494, 47726452, 945634488, 474498761, 228863936, 782777129, 542556405, 224856954, 251988130, 400348212, 227200346, 588745512, 365259745, 946189068, 918268223, 970097944, 545085833, 586490744, 662118266, 463206184, 791398510, 108833047, 981073050, 387511522, 243348159, 919442465, 614270806, 325816923, 856367979, 205023916, 488517693, 856005978, 323394994, 569334202, 979325140, 978519092, 391915458, 761701549, 7317908, 134255887, 235332414, 991334722, 918060120, 696949913, 633509854, 949030564, 896937961, 3072426, 527994237, 861012625, 849867528, 221276797, 700831049, 69813203, 924740282, 449739409, 123762709, 687433664, 566014931, 132428474, 785267444, 884320381, 218308376, 998518791, 210202194, 48144614, 388100773, 567449814, 398337394, 575923164, 834187212, 314041857, 85100080, 136970524, 112671441, 995405516, 788909937, 231029797, 951629087, 831733892, 102802741, 749977653, 1117214, 567823917, 468355617, 961704816, 706498861, 565089136, 160811356, 981174472, 278867507, 107181784, 254161462, 330571095, 818422061, 131914777, 354429468, 805668349, 853357855, 839401858, 225167305, 166782432, 998406030, 881252802, 57177963, 861986599, 141253215, 8015602, 937280598, 817875775, 360842600, 88132222, 930975881, 289053227, 769428708, 740697874, 709287585, 132397315, 896105718, 677612343, 679691478, 155892471, 980791118, 228498798, 450687830, 751619101, 521951615, 483092269, 954460478, 111264109, 889680184, 967751960, 238958053, 577575187, 23685008, 940063529, 237573213, 444408211, 646341739, 501254755, 118016000, 665196896, 254361607, 826008236, 130537092, 30617564, 704621590, 94070945, 612769975, 437896635, 272958949, 378672941, 551413092, 747391335, 788355116, 747109824, 332543117, 904883656, 538643515, 42778332, 611432435, 169994279, 979035204, 878764784, 879473977, 571059375, 329657200, 952712757, 287731052, 74867181, 512458274, 107972316, 159191484, 228091854, 710924495, 242627319, 993606189, 265039965, 850807780, 62933954, 932664845, 574330321, 463718211, 990516275, 935102163, 824790405, 311616201, 788107165, 404914161, 893405147, 159474655, 659763679, 195337605, 509318030, 309894317, 851487609, 669670726, 439161718, 691024134, 163051202, 489366260, 980804984, 768013979, 701743824, 855043125, 952533963, 153842557, 684426219, 72471576, 773272209, 404157363, 166135784, 596856531, 929363057, 793834811, 897485147, 952914932, 187334321, 733832579, 668272672, 106182340, 583150851, 138328754, 305759748, 566642741, 730556549, 509351483, 803254536, 220578456, 341377858, 453167665, 971297743, 400840472, 746940340, 482857653, 290055497, 927067145, 81157907, 477214334, 171703950, 329168519, 944653665, 669645412, 532415318, 363582766, 788587703, 644206213, 36107871, 515154681, 100602372, 396889730, 133669903, 61923040, 568057788, 69602192, 880904659, 482362943, 571670956, 739667709, 215172563, 771915180, 15622173, 464165959, 317955376, 978351080, 347862425, 435897468, 382268707, 490269231, 634460800, 28019778, 832279348, 299911338, 632768139, 156303520, 462148974, 658416121, 68529168, 695482069, 276327205, 167604013, 184952202, 897966389, 774325815, 520643202, 154931996, 138568481, 685963546, 310674812, 360608209, 326759696, 798400676, 836943916, 831217555, 641203505, 467703036, 746795325, 782430403, 320139072, 235599787, 521206309, 793342272, 420703806, 368103478, 156481047, 478501687, 334856688, 695734792, 914355492, 835733377, 250601256, 706667716, 888505801, 777556331, 55153110, 654767896, 768877266, 864538283, 510812069, 758206537, 360476091, 239184741, 668102428, 434414460, 531378825, 698589528, 661223436, 118397733, 512597367, 530726269, 309866029, 666845349, 427191538, 569679518, 910634891, 677907206, 1353047, 356816655, 12170654, 105820036, 717906969, 676210436, 699077655, 266172784, 834858361, 200569310, 134109523, 876431465, 189159732, 573629775, 811192688, 621158633, 800946173, 989345722, 40084964, 986280267, 316004723, 55277116, 810687020, 156407661, 885776864, 503288117, 989104387, 114502761, 981683157, 571368354, 122556604, 525448723, 472735322, 944647190, 650762279, 18316721, 201609956, 781584321, 37503642, 34721467, 707984845, 325667144, 353819276, 564366453, 966004294, 537952324, 417677685, 88564418, 960896863, 78219662, 296181568, 576405235, 440089300, 817556677, 239606243, 844934758, 181770281, 943975393, 179344178, 961131817, 681095930, 170040171, 364545678, 148639265, 833310415, 491481732, 998650741, 288485065, 870725293, 288095598, 167449433, 376563971, 292880715, 395466594, 614134383, 132134549, 541380166, 124873559, 684949737, 327982407, 415626210, 306952272, 382618251, 882396515, 176655992, 537873331, 273118588, 219022107, 702516166, 431635185, 690169978, 642759211, 414957550, 699648235, 488116276, 457797100, 290318995, 521743592, 483675035, 280172905, 71581430, 517590201, 253135660, 596239547, 928454188, 768528509, 237342074, 269109689, 81692367, 162524064, 933879764, 481734900, 785767693, 378712802, 976565252, 30726929, 342574464, 210279903, 880643208, 401721512, 708335086, 677947954, 856958228, 291363410, 844420955, 545720364, 958004021, 543849623, 431070505, 11408528, 587155159, 627223100, 941719836, 589169004, 395903031, 816883159, 898154390, 765049873, 455117068, 609918090, 317936732, 675485794, 294008353, 337832830, 16332535, 390006550, 890492137, 649310098, 941593342, 909640943, 456533246, 13524209, 518842673, 188237039, 362462282, 544312878, 863270727, 862516644, 590993450, 706563399, 868082289, 675349860, 176589952, 863454767, 471727462, 636001388, 757707612, 418517216, 552814977, 701084988, 579901691, 1657188, 375653121, 388336640, 901988186, 271811990, 255799313, 238419681, 976119911, 638921731, 14565447, 476372879, 814275530, 456213660, 802057810, 565899079, 942061687, 18026508, 30012548, 7616092, 385642768, 74753039, 963422517, 162570061, 889667136, 982132217, 272585372, 488785112, 658076780, 916292889, 242289142, 444842515, 892462148, 209959286, 727433864, 414004504, 8512523, 418141306, 153074839, 445674399, 817329023, 847887231, 72970020, 393097587, 16222175, 619462409, 510363825, 455375158, 676932399, 730809251, 531026065, 82447576, 996431185, 441880526, 871831954, 50018250, 126408566, 28162193, 167093290, 710409230, 568802278, 676572418, 395799696, 30700446, 975700260, 689021265, 288839718, 376652836, 539649829, 548655468, 715634756, 709136707, 771522628, 895261236, 78750778, 666029298, 22164963, 619921957, 91010246, 237592109, 377579635, 804094879, 984764683, 251609394, 408639500, 168435455, 566841799, 280864452, 515448934, 43035610, 594516496, 50656945, 721157675, 437881285, 958439999, 433941986, 392227925, 624490385, 534906661, 513069413, 587412894, 993452444, 925228805, 106473241, 613982284, 880655731, 628270250, 989812015, 798696341, 757860605, 793879892, 7492385, 349080525, 621229026, 130035162, 241601699, 927952119, 883773772, 544088049, 299779606, 537745145, 151795170, 80196093, 848393464, 276594882, 823772600, 45762979, 633826077, 415582216, 36788505, 939323917, 179629240, 874523852, 351996216, 291817691, 302334683, 581878483, 739569579, 180999125, 935808360, 981062909, 57446029, 226756825, 724458242, 966214363, 749799704, 714529170, 584735379, 640938149, 607588359, 469490237, 161174359, 387547639, 256846636, 339801875, 489192617, 814169214, 636429426, 941092022, 482128443, 826514248, 114294458, 775053648, 907828094, 117157503, 707547334, 359456109, 661522131, 529693990, 333426869, 317335569, 820471850, 691543020, 464468813, 231031143, 309063955, 295910171, 943400615, 570924218, 166020375, 243176684, 870178670, 133039349, 789596782, 803325052, 550343882, 706852511, 413126365, 632653582, 678818396, 891721080, 883072010, 616145086, 992996560, 539541052, 331201217, 792080153, 787966396, 679568340, 749211753, 947881643, 604652055, 480974040, 504113582, 431494716, 813078200, 935555300, 940315135, 727166638, 757088521, 660567844, 910999608, 565643350, 961945360, 289464253, 849551674, 359850088, 652739145, 370494472, 654253493, 968423503, 53779160, 321566851, 939443906, 985565154, 811128748, 270047557, 433256792, 106808350, 366209971, 857275671, 666322881, 99237376, 792884797, 406768440, 90783719, 965204751, 519675024, 181153463, 107105426, 92239694, 428410640, 883135127, 315533361, 56814583, 138112039, 443616238, 480018993, 878332899, 649635881, 58249294, 237455521, 245029057, 135478917, 47471195, 904905360, 103112590, 564009463, 524346087, 768890894, 867444058, 196280733, 566893493, 603892522, 901450379, 512504061, 750033590, 358629892, 780891769, 120275273, 260321229, 698499500, 33290807, 105395915, 515706441, 529578953, 713094272, 826700746, 962382009, 442788772, 367902793, 591730369, 707569869, 215229806, 300506507, 818200955, 230537364, 32141207, 541083843, 266089531, 116914158, 575623823, 442808438, 482960501, 197150512, 27323596, 549768515, 142160762, 818657669, 89502517, 532608560, 210805743, 686334450, 990940555, 402336223, 660081294, 281485435, 908603095, 339887374, 455647316, 359968292, 361243919, 486154734, 628614921, 102963475, 987537865, 153636456, 875650457, 540119006, 928207135, 471852502, 606915555, 230370312, 338737999, 466617988, 633855192, 611335239, 873579202, 975986278, 798155897, 176277888, 63347062, 516514153, 87463239, 295666810, 194706100, 425253384, 848477143, 922581045, 993090519, 293926533, 192007018, 875367840, 96188932, 181222246, 68648957, 513705774, 700423436, 580288714, 799875265, 751092257, 31361802, 732259752, 486701122, 22060856, 120733592, 373839697, 993415521, 303097028, 712122173, 641724796, 540421856, 345661285, 909112592, 213368079, 201577626, 111635810, 29574019, 781723274, 885043482, 389647485, 759008276, 856600109, 44386974, 676535525, 96880054, 713573080, 364200365, 432955395, 988106045, 198798314, 996122219, 715294196, 108453506, 137531542, 481839910, 753644315, 62117585, 238889327, 425084964, 771147250, 535138197, 152252751, 811582366, 822381568, 903012588, 348304745, 436787079, 818265690, 580718791, 933181979, 312663881, 899661324, 919012158, 104193774, 217424310, 674702425, 243239248, 667548350, 721117435, 477189979, 627792528, 851895739, 880780400, 568862894, 580416463, 647628214, 975787460, 183476244, 258651403, 19875284, 512211074, 290372411, 716058700, 849803107, 494690368, 30970634, 513257249, 215524131, 787500294, 425215919, 949518730, 105953907, 23137188, 561536791, 724153002, 575379348, 622735652, 8002363, 657438093, 893818636, 523353333, 798426396, 300080924, 945009196, 977173311, 406954176, 219429825, 313621544, 112385730, 32554711, 992034844, 737978755, 497009041, 859816036, 520423280, 896401840, 238961591, 640662030, 945271521, 646947271, 296325082, 401380731, 148597473, 210964288, 568305145, 790296591, 968869725, 828713031, 544826190, 401155681, 658575659, 933435793, 151592780, 910160919, 291729351, 37627663, 60394241, 758928351, 963958128, 688406179, 630003799, 292120275, 961987590, 780011689, 149420699, 70508778, 151170219, 251691212, 497030316, 817212177, 848586395, 378530675, 161500872, 925851616, 301156659, 682492689, 393283465, 293072395, 593062264, 832976577, 830126687, 694413773, 387315572, 189069478, 834140019, 909331535, 912433663, 823682875, 219238203, 959412534, 244878429, 180814329, 513897313, 459032545, 15474310, 290536038, 951495861, 815051933, 690230564, 43271729, 170240404, 729938476, 278364788, 557125204, 323060300, 3408960, 738426466, 605672759, 115318261, 420332948, 221705021, 112705091, 35282615, 323106684, 750193017, 643531883, 220117998, 16176953, 883305015, 289718864, 211636765, 359772645, 625126319, 501887634, 559252266, 927815796, 550980093, 100629283, 540717079, 95924642, 589675445, 596585536, 70303784, 824564124, 465688997, 400500665, 381167249, 331617975, 410285032, 256160174, 160554478, 933246785, 622274762, 793400961, 120049546, 167771467, 454951962, 609050902, 839733263, 697050474, 25300849, 992892849, 999313956, 447855688, 587492879, 559589683, 364565575, 751333643, 49914274, 834142560, 159075775, 500939772, 548686970, 65832371, 367654627, 37696907, 976830166, 379134519, 519476863, 946748180, 534776218, 855771030, 921687030, 22201687, 865872768, 710851841, 925234304, 860286128, 174111606, 229261374, 41209901, 6178635, 309642676, 992024715, 294714155, 538602426, 195672691, 150769986, 455960147, 930663702, 646707292, 482150906, 639720370, 975169846, 163825658, 616468153, 397363126, 417962549, 377053510, 91109704, 71019740, 374398639, 610962604, 70816934, 416227388, 601890309, 680665673, 984941452, 602530397, 456023575, 67148831, 907307001, 852763935, 193776358, 338021445, 988224853, 996004752, 103525552, 718953861, 693578576, 887087224, 456900770, 810093553, 736983622, 303857749, 436250712, 363792188, 871889533, 387285266, 7777518, 371393610, 761538749, 291742070, 536653956, 980296166, 80239158, 334071385, 636033044, 390730923, 49362564, 122382823, 294775472, 841966700, 602366772, 625323120, 821097218, 998900132, 813445637, 152698458, 198782494, 802787696, 612682549, 122249717, 422739745, 43786716, 716489887, 932233963, 320232251, 947532398, 105064326, 537013871, 803845880, 648777857, 720023084, 377738458, 297868125, 308794386, 383709053, 952839378, 159384982, 116794368, 355315547, 348752175, 896983097, 821370765, 3784808, 733885916, 214792102, 910698225, 674303649, 672362452, 434154159, 453999252, 424589265, 109528737, 420834920, 692767295, 757282418, 425683478, 554323792, 708422076, 196885550, 268884053, 316900091, 169539609, 547331447, 594569026, 636608586, 174917861, 967501482, 125318250, 416396636, 394964459, 90986633, 483666125, 496373247, 888095511, 109979007, 357283255, 421661131, 760269030, 190842563, 562954767, 919940832, 421097497, 63773814, 622026111, 179865880, 928893181, 951684043, 775311716, 682300438, 773160911, 402738977, 105222257, 26548885, 235943130, 545475664, 135600213, 91550808, 613855, 812106429, 796933038, 566657205, 814211623, 152315147, 41156437, 408612413, 456315162, 906230924, 176170508, 915998444, 225974809, 519810622, 903089250, 451002814, 492252300, 78941172, 618398976, 288163103, 921199248, 917163621, 538280150, 965010093, 968576760, 242440302, 705593839, 944678008, 26296029, 87899320, 785609157, 997216269, 620658665, 785436748, 30635577, 907298350, 976338500, 789216033, 534631831, 121707133, 621890833, 174297568, 927631386, 226762738, 105292699, 228603250, 419698591, 882865225, 899710501, 627547781, 486694638, 821973500, 391653378, 726591058, 529119713, 485383406, 559102127, 399627398, 244142219, 673947199, 901758617, 713062407, 823075020, 455091625, 834052821, 541694138, 588488732, 473817183, 783349167, 871909633, 9571279, 969133532, 929913573, 499940456, 546333121, 823917435, 420388000, 841240144, 19565454, 605001346, 767293813, 851434475, 9453559, 748750941, 861445748, 703011773, 34488766, 460902152, 261215764, 784602513, 597900415, 419654787, 128875984, 160131590, 717712377, 56220589, 336078316, 593180566, 380032776, 495254473, 34031030, 869296805, 595805085, 400311494, 329073877, 837014305, 26415242, 135563303, 180711741, 398408180, 58104009, 325694104, 207974761, 436312005, 258769252, 859393177, 516932521, 193706325, 574763339, 694906510, 191037349, 660777544, 933224382, 659440571, 333093695, 710328286, 894602657, 511055460, 504469738, 742362820, 206877476, 197983682, 597177387, 289996409, 131786151, 911059318, 127856666, 804534936, 767586021, 164356394, 273983566, 174872921, 510723647, 592915933, 720454856, 111699111, 540308073, 573349462, 729916880, 141422586, 721229118, 987554466, 531981885, 791888374, 382081083, 750920223, 424572571, 261493165, 515142511, 942729810, 979818030, 757030121, 19701367, 999354683, 187967299, 382527809, 225644678, 13692285, 461452553, 618315205, 667946139, 975373265, 22569379, 263683376, 973100361, 844899495, 893683432, 266026407, 19899580, 212785691, 204904722, 909252856, 201106623, 851100174, 327518484, 87487074, 720687907, 895918813, 389206705, 366568068, 304934860, 16829079, 810509866, 937305323, 746331024, 310762423, 214872398, 209104580, 196262441, 410779262, 566117950, 336789814, 517413850, 737626109, 971300575, 523823386, 98599637, 949612225, 393533198, 132013638, 362812488, 428941294, 385050704, 890924810, 700041411, 317267765, 393381875, 273954056, 393047128, 706617234, 941440214, 137713000, 955986814, 217590386, 179682768, 82252365, 650826015, 225263170, 840691803, 495679928, 193577970, 255361643, 892021169, 923386873, 762090147, 912857627, 934867514, 843550769, 754516061, 564366842, 266873677, 120551078, 391500180, 789372143, 488879848, 234778957, 472328396, 444013222, 157562691, 295563766, 145127422, 539865128, 735236176, 325407597, 836757965, 602321970, 751153493, 653443633, 754205890, 361355359, 374397477, 474533339, 91547556, 721900733, 47293697, 188805118, 175153161, 594463271, 94889160, 245755311, 401103166, 862934641, 123226825, 205177353, 298761428, 138225830, 50287135, 446530577, 788930187, 888648625, 341961655, 91455938, 454292192, 196186771, 170257127, 803962441, 83314645, 734483576, 589069268, 434161352, 583284721, 830469751, 40260858, 492512329, 238438721, 656988421, 292048821, 146285058, 664637663, 92545315, 679213501, 229051694, 957321480, 982631174, 925208831, 271512500, 523932260, 94069570, 897408191, 616698973, 182595132, 416153850, 265457690, 921327746, 378630280, 368371961, 834901900, 935830607, 101437912, 603468588, 437119400, 972072106, 4293052, 577491523, 671178374, 425484301, 544359538, 539463524, 386494403, 432006199, 850802308, 815576277, 70944196, 776793504, 127133956, 231679397, 458693319, 69232014, 646197188, 745190017, 593621002, 543875909, 553607170, 241184105, 7574210, 12649035, 486540634, 804409384, 117414845, 87727512, 303950562, 757290060, 356234318, 949480864, 631981937, 969035737, 584737430, 445935375, 450243227, 982338537, 853145588, 37696692, 884062650, 708987973, 399179763, 436303405, 79423889, 654373527, 143944884, 489891385, 119980270, 503335954, 23282136, 375781591, 45128008, 820025737, 820027669, 939242258, 972039090, 349180897, 537771654, 372022189, 216841522, 738588817, 831069965, 657639468, 234632059, 925889962, 861629584, 71271112, 429345742, 664070004, 691878380, 737691706, 157704079, 513109455, 605382893, 834032802, 747228818, 357885502, 328187276, 618868006, 48868652, 754050745, 831580162, 397204041, 180762015, 514330405, 23763580, 996520820, 170854224, 868456143, 926294048, 52948941, 773725795, 232798967, 597019274, 765525423, 663085701, 31341860, 914619380, 80633296, 117359842, 765510442, 75009314, 968130411, 811859777, 9201382, 542789848, 336823988, 972416534, 403938119, 502826142, 692923313, 59307404, 624895466, 550841016, 893293828, 268776634, 429271238, 102176989, 340694694, 977618186, 614126917, 551004741, 968360746, 135048096, 831711390, 213193783, 578807921, 363759187, 949757445, 985948364, 316520942, 569884202, 586004003, 377368532, 308323562, 584422845, 383104707, 970673962, 720346370, 461627482, 54936076, 480713241, 999703691, 143373077, 153300944, 881944866, 568337532, 506054981, 61271871, 387000736, 145703661, 860295298, 999835690, 510615694, 76563435, 447348600, 542651107, 312504333, 476461471, 574513593, 537673229, 911313413, 739918496, 462071764, 364209847, 107377823, 362112061, 396234413, 954247802, 54893402, 249343232, 520234613, 966777782, 51759673, 947412900, 29423591, 176975187, 720867304, 945119953, 422419107, 149533811, 266308964, 968089487, 440480474, 710755509, 953642052, 389268144, 257131851, 564483486, 114528947, 768396179, 524324541, 984382919, 335503421, 46850093, 365742746, 731503795, 519001093, 553399948, 605267111, 71652307, 945129887, 703935223, 218518705, 804976348, 296231131, 66528468, 114108608, 539318565, 207316950, 613627424, 620219147, 113433563, 937283583, 416392401, 974731222, 159189201, 985324841, 812500684, 324245623, 609085459, 668202776, 66066614, 264281310, 495828046, 857558116, 863599912, 657346588, 746818425, 972151277, 976528831, 319309381, 931932019, 481440087, 472283044, 898698870, 17669710, 613529290, 279439819, 996179445, 476693561, 305643113, 538953106, 324070794, 385594448, 766583235, 248147907, 975984376, 412309986, 183880618, 250425263, 647370362, 633127652, 686323380, 661752677, 453813502, 64654642, 468987080, 233539897, 902976488, 359434182, 509884978, 843223323, 711455470, 246010004, 774174351, 131962624, 728871248, 72540501, 82868203, 730649883, 598563549, 751579824, 867000765, 288213956, 133682867, 9470412, 376984477, 934722240, 359928093, 71559917, 209806562, 66958133, 87167664, 811470411, 425187979, 355048349, 130116851, 80648277, 673636755, 715161457, 398586621, 591958173, 858919910, 662349493, 737734315, 537406078, 638873646, 714344856, 279960686, 550881399, 829617117, 474618016, 542005131, 588750483, 482274686, 754645711, 954494106, 632428228, 163590411, 83948525, 596189409, 351304613, 598078136, 546975281, 868303361, 131947622, 493623899, 520954018, 587752554, 496932600, 734199903, 16886643, 598146284, 278904507, 78816436, 934491006, 296249598, 150171923, 853175452, 55854347, 989469782, 577054733, 129291488, 227465155, 555177200, 906462762, 162224183, 269482008, 130412147, 211885050, 168862533, 51889106, 620270408, 503576354, 232482042, 361222834, 310341817, 260431350, 51464046, 342893030, 926111512, 546109431, 651573368, 29101600, 64119475, 849863149, 390107607, 456635217, 441258071, 784112276, 680917517, 249246950, 752763510, 718438880, 897407960, 765166555, 936037986, 833486183, 838460404, 967490533, 363859117, 419233314, 805519137, 722171177, 453534760, 927844976, 65987679, 794672750, 309627764, 588690968, 196045552, 848534308, 411713633, 561505038, 16037435, 456054443, 202611801, 500786060, 223133517, 805823459, 961248620, 18187503, 660489309, 842499027, 734430365, 824189968, 57866462, 381860410, 43218280, 944382062, 531548701, 670345410, 391036191, 443781716, 586349495, 583416095, 82889267, 116708340, 533126355, 697020802, 22022437, 7458104, 558422274, 126709934, 31421028, 766831422, 116089188, 697613468, 596494655, 981407553, 809250028, 319644579, 802719595, 887560018, 330852683, 545465175, 583290027, 318093246, 902466142, 282022854, 863812858, 216565239, 456368800, 891980124, 854393271, 992407700, 311850005, 838830312, 73840954, 595919312, 904701332, 644970715, 92038373, 768902538, 571847250, 974194827, 162576192, 498623217, 968379826, 759096323, 261368968, 482213634, 860971817, 371019433, 100663536, 610199004, 276802798, 917041128, 381062984, 950195767, 726049338, 886451591, 103900473, 362491735, 358392281, 165101235, 197827286, 638804388, 399714138, 916845126, 467731770, 453569183, 988093030, 276945325, 589187470, 320006638, 50705137, 501947987, 105661090, 917695865, 706058914, 500496391, 591650350, 451720252, 569665773, 86259026, 809639852, 862519815, 54809845, 87551005, 203183764, 655027807, 74696771, 394796445, 458721247, 11224217, 195893828, 232642138, 972514039, 590573004, 125767976, 3854875, 112542807, 461165146, 768105777, 167108202, 534350304, 81746573, 708397460, 765896163, 211769581, 379548951, 766291094, 859576056, 220634782, 481950927, 201047193, 906830070, 8920551, 159536625, 323796434, 701178082, 968277410, 158734162, 995274604, 985772351, 851754787, 677067486, 342501148, 427818736, 987233651, 346588298, 190247203, 200338169, 679510221, 888687573, 917865697, 866204750, 690559812, 265657660, 906518146, 418251138, 129887856, 35122017, 379297359, 567306290, 561226791, 829185296, 431506921, 595973792, 30367955, 794874337, 561740925, 814577055, 396592267, 214686118, 876107986, 149336141, 784608991, 883763092, 929563296, 18600289, 942975775, 926152448, 880742860, 168723244, 680029430, 115379128, 261888232, 919957012, 62622424, 726562426, 639651320, 198379926, 792661358, 378350899, 611083939, 876994827, 221788063, 991678869, 248491701, 505772123, 898863649, 140648934, 662661734, 379788546, 553465001, 531462977, 117827494, 222633928, 181607996, 406258422, 203955494, 45365876, 948706533, 114336646, 748745882, 854774114, 671449080, 255968560, 629891256, 981522539, 474419934, 283187877, 236674093, 817196739, 431493922, 791477226, 384645606, 571268470, 914896069, 70844146, 928229504, 811911038, 923530808, 107896933, 269791500, 262091862, 879418318, 996169887, 576682604, 990533756, 520414986, 4402877, 814800969, 788057177, 790506614, 646912151, 882778185, 907597905, 961634489, 502359443, 828438954, 495233243, 627704198, 133015727, 138904920, 759586314, 179806868, 988142163, 812321403, 456964577, 754160947, 65864228, 645227478, 524938879, 551309265, 823340630, 948807910, 288670696, 460686906, 922611282, 198731262, 204187301, 81322258, 510906694, 615889690, 810947002, 436058862, 599407431, 592491637, 990267795, 92693605, 461540960, 573024023, 888405528, 816527608, 585932129, 443944724, 572564443, 793571708, 132730973, 708514726, 113621602, 950836933, 884458968, 409473677, 538445758, 271151543, 851016209, 554961809, 231413480, 672791642, 191442804, 605411792, 626421475, 216106340, 595352205, 959268076, 550569565, 486314575, 111933674, 730581916, 659164685, 502546235, 567533237, 982475899, 301094228, 107546226, 4340079, 766860415, 844796830, 630350725, 357554218, 243012467, 988534448, 959997993, 229342974, 935849681, 803136006, 320885289, 111663027, 189206895, 204545863, 985833412, 331893995, 611813248, 606500868, 908688140, 520930866, 995278456, 715284226, 284102393, 548262152, 435234384, 157948656, 58135154, 606252018, 775978589, 528300451, 95102029, 924719734, 149423935, 568316249, 480239207, 533446461, 511804628, 516102828, 829905468, 216181961, 602447591, 954786080, 319141107, 773107943, 371699665, 827528933, 149326382, 863403554, 86643841, 272988086, 441035844, 727985690, 11767993, 531226227, 244468916, 959038750, 780168238, 7662979, 245815814, 407673508, 325400665, 904051112, 681124225, 109036733, 818525149, 443204513, 454876798, 709254660, 450129776, 462532843, 397050699, 147089689, 615422381, 575047869, 613976564, 247607139, 103545660, 283772020, 365957947, 416175337, 552659309, 323349501, 638823338, 405600180, 887296816, 170020470, 546088027, 423424615, 434413357, 487899076, 792137063, 749082894, 653519921, 600344473, 876854506, 484002284, 440746931, 570958527, 837271054, 188348645, 428197684, 800734864, 39561443, 255738938, 871074482, 478115204, 303308416, 80556302, 377977356, 964061967, 752974708, 565489464, 621314862, 647407440, 180254426, 759117311, 352357561, 863381189, 426504581, 489748551, 205881135, 695188265, 434823991, 45522645, 208828776, 19697144, 533401403, 627589296, 815009975, 359181282, 590385085, 82381564, 968945316, 230093798, 539984649, 89259097, 960617925, 702911473, 316459209, 399770410, 898941377, 41793969, 770669523, 292423691, 162720800, 428978585, 426481288, 268337496, 294440331, 111612341, 863369262, 626851177, 398543708, 968176016, 237174674, 439904483, 259585892, 5140761, 309303741, 745647630, 576904609, 974893447, 19274581, 767065312, 86281886, 157126137, 697430619, 872559626, 953865059, 786727333, 81827700, 823533299, 734339144, 34442404, 44571558, 470325047, 185864392, 194524362, 657990328, 912989062, 178966586, 327822690, 129979977, 784107795, 695322750, 132047462, 577284535, 350838352, 532281016, 517965294, 843301947, 427332173, 107636827, 59520956, 646447689, 52677900, 421597711, 913930259, 583882651, 903673190, 315314383, 408274447, 85738071, 1922619, 90131946, 839485608, 217751311, 151579775, 399582540, 237626928, 454863827, 142119925, 88204220, 360238524, 208563901, 781322569, 495459580, 394503044, 601582786, 650193065, 272057133, 628393477, 403747104, 670906903, 937080958, 583067833, 433510269, 768335785, 43887513, 819562216, 347217970, 606401489, 563758396, 285699898, 885023435, 617158397, 472285793, 3766002, 399590917, 681534594, 402692289, 401136525, 542266584, 890357948, 775642291, 660250793, 818326200, 217925902, 19185214, 848794061, 698652348, 845434457, 81446839, 967268903, 187234970, 152784613, 594811286, 65111715, 369289910, 911034128, 436489190, 735013164, 402830751, 67585349, 935637749, 784291978, 835166602, 388938700, 719913379, 195887834, 892881077, 973592435, 31563508, 727710847, 69985215, 183783947, 144334682, 697699696, 77458593, 678980904, 78170669, 244038315, 739500498, 949067401, 67684867, 370107146, 883247053, 690011254, 43616646, 821387304, 272505701, 855547940, 925374369, 414029148, 295351252, 816176911, 783475067, 177438753, 637929881, 860291895, 552469634, 239997453, 148689540, 340137285, 552133406, 486928153, 748695617, 911770413, 553029201, 779510176, 641695935, 930353637, 589302909, 260298685, 227598089, 544836779, 800788537, 874515653, 137967319, 683127109, 69553547, 428255654, 297871722, 875068743, 19356841, 358309172, 861592679, 544715022, 208502229, 20877687, 768236286, 519367575, 643272158, 986792335, 47663498, 349574242, 106853276, 909254988, 350443223, 446041417, 627767716, 439071015, 334739966, 863177343, 661645594, 400467834, 636585569, 533554868, 451168356, 106067452, 324584349, 411378367, 828753585, 912666092, 676406646, 199040739, 652094042, 784775007, 460494937, 621083256, 484437569, 116318323, 318823965, 994208976, 110434485, 588901821, 516556662, 77894907, 54530593, 701755787, 891303431, 886758146, 494030927, 688333645, 12499359, 483625558, 544304838, 438376247, 318197683, 254420156, 519680360, 39457032, 255784404, 218984050, 434840983, 998133249, 497583048, 5774127, 270683617, 88188894, 276599180, 727202502, 270109310, 142018876, 713543974, 534840480, 594163248, 104005828, 634882329, 282195701, 775983667, 492419708, 414848981, 557149224, 325862841, 855885436, 218539009, 7647437, 339493683, 685804392, 398085306, 400870996, 20977994, 358517923, 850656181, 905600340, 390197579, 949806584, 479408345, 866284436, 308054113, 211852099, 472385818, 846255070, 472346416, 357898478, 335940240, 343081180, 198745424, 12251544, 842099639, 76267709, 175376799, 941613813, 426989434, 413996659, 231582218, 914689555, 135927717, 775244846, 739319742, 288464357, 904373812, 253725181, 716261074, 891136927, 731290386, 219798960, 20325298, 501623475, 30093643, 18104533, 595834479, 557113869, 277357545, 351999219, 689293795, 343004364, 220709015, 212810615, 35711355, 879984789, 296675943, 653942756, 980124288, 79631509, 466899966, 439118249, 197051655, 604822909, 339091244, 473747760, 834220512, 861763201, 78204804, 381410843, 44431189, 155021751, 297466020, 103509264, 982119632, 685478851, 415974295, 181728932, 284883091, 255894671, 476602574, 49488425, 380039779, 708071302, 58195826, 57096014, 60711992, 568820996, 812698920, 706880260, 740828890, 463930206, 646484466, 56988037, 510831493, 655783115, 617265625, 443845796, 937978954, 316493956, 69748197, 559740651, 806049346, 272784594, 672082037, 60382568, 84946934, 967940151, 679650173, 876236735, 47403467, 159533191, 416141753, 878364435, 911045565, 846305591, 896461492, 365682230, 600744986, 866513647, 20176543, 972542086, 888480755, 550184109, 354658704, 36904392, 889792911, 617722963, 872517218, 591928473, 564610346, 349832670, 764036199, 153061468, 651248353, 125693600, 626619651, 531923867, 397896346, 481578558, 16504817, 250525600, 310322323, 232216261, 277473252, 257996910, 396033996, 159633241, 880886116, 771925804, 9848698, 111408388, 415947328, 32911014, 804103474, 464203621, 144792073, 55631865, 104974798, 162386048, 208786569, 484366893, 528501660, 764464228, 168364144, 344225645, 804669885, 517699308, 852496080, 261507299, 84972372, 62229049, 790803172, 623522497, 12775405, 903195562, 734422496, 10282324, 977910019, 360446800, 816224564, 500725804, 660341125, 637413052, 266961852, 868936011, 539745700, 939834226, 270650762, 77401272, 322090889, 426728005, 426028106, 93179805, 432822797, 351383498, 644307270, 575045618, 603391452, 419499338, 172809886, 960694415, 504991067, 807647368, 729740308, 454180056, 586347711, 407089099, 451793273, 138677654, 706152102, 379963039, 434376581, 927018544, 823883222, 104494403, 645396742, 79270869, 979596722, 386980284, 506462053, 171090930, 598548632, 309270239, 667579438, 407915877, 595916451, 957538876, 272621326, 925552237, 2850932, 932216643, 101967391, 715823643, 505667310, 820669523, 687556018, 48314249, 389537976, 20106632, 656182415, 773495147, 801798207, 614959912, 918211177, 777586570, 674153161, 984409342, 649378413, 388689752, 380687430, 421441560, 529887990, 673828241, 934844944, 720619789, 795233592, 55825430, 470006546, 7336120, 328219109, 120826475, 698293192, 520751476, 999635899, 267741204, 340754730, 876242159, 767984238, 796145734, 672018321, 119996481, 471330944, 261606644, 150874407, 393691220, 585205168, 209129681, 138439555, 659685406, 475444805, 102630536, 151731650, 503696915, 572005713, 550071249, 262691515, 776288995, 560273522, 121200056, 734211170, 306001405, 996463951, 903988482, 301862572, 2967137, 883030533, 479443812, 934894557, 612078156, 790586243, 144685489, 993757075, 574946740, 353533653, 836227497, 859048390, 984129451, 51108354, 343520327, 351035967, 481177231, 242261825, 864372667, 97488515, 213665580, 421920094, 912396548, 817631680, 323626127, 177162791, 127056614, 835236154, 873442862, 256628247, 221299506, 852701087, 408498221, 210743493, 659038034, 431322008, 355376307, 955880691, 115762161, 997083566, 341006083, 422384837, 745226449, 441742410, 174129338, 416181936, 301692840, 908637666, 617694707, 101956809, 979958136, 235084777, 223815251, 8016132, 630452074, 998284679, 740337092, 609076966, 214317809, 458519281, 376892616, 85850446, 154653425, 204967147, 54947917, 680473604, 437395672, 849555451, 539916828, 430704999, 66634966, 112095886, 823196337, 335369944, 800437314, 461504857, 313828844, 256722315, 425323694, 896679685, 323106242, 385832156, 457746494, 847508186, 286730192, 233751633, 164529796, 234940673, 59475012, 905981007, 378275440, 222174057, 439341968, 817210374, 473829362, 913140429, 250146755, 401437578, 520347746, 545475334, 530983996, 667237538, 727029386, 120131462, 911985765, 146743002, 245030381, 665311953, 916158662, 26562999, 214473696, 957017903, 609574851, 95714912, 725125261, 70081802, 911675592, 409604420, 329273843, 273410293, 422133470, 453895401, 409910178, 204913620, 446298906, 7109163, 931165033, 954608491, 393632608, 807295459, 261370216, 302514861, 501668700, 165141081, 646049614, 451305124, 709298853, 945546797, 98893035, 760097682, 420809390, 683138577, 884485042, 533132080, 52685044, 89689904, 861810379, 456368524, 467741389, 357419164, 3693724, 854001406, 879836986, 778018854, 571838854, 58959921, 565903771, 777197822, 352859232, 870021941, 106506980, 259051848, 497881793, 597500360, 668227493, 233951381, 41790821, 527246806, 233175705, 738101307, 530100353, 134243757, 779803206, 893226007, 37429814, 913776801, 55414029, 642853278, 353019687, 997681668, 686251004, 352031744, 79547067, 140440560, 165729807, 950370659, 282558121, 621048351, 655572980, 646272722, 407738380, 612811896, 601897170, 626909363, 793076272, 25199102, 908455201, 706356964, 272845280, 962925676, 5866998, 120023850, 133161029, 913061558, 862680452, 919325076, 735070298, 755509133, 488549130, 167097860, 663374198, 958558114, 237797084, 738876722, 69897176, 622036908, 20773703, 198911393, 882276648, 213474517, 663879043, 298933443, 539105291, 673633430, 401509436, 762502164, 451109272, 761587652, 562746939, 852902984, 696317930, 639349593, 614968982, 464551421, 72389666, 973367762, 392799204, 604231659, 655840797, 154843791, 672664957, 528774345, 875322047, 134315584, 702289357, 696329815, 930596281, 780499103, 826487285, 812403644, 84109844, 265555797, 214702768, 673128025, 972878785, 566505595, 696537364, 240381881, 626093658, 439651814, 411097261, 44138197, 563679206, 213671936, 386277771, 852121757, 268984298, 384539785, 432153400, 39123336, 20061071, 113238402, 273233902, 563262824, 359263262, 301215010, 776331397, 534434523, 32111681, 708643402, 79270473, 492220422, 448906532, 240149550, 285071050, 830679570, 442334689, 547589248, 273166447, 293603265, 917728090, 154885404, 704186889, 280962986, 331947899, 107563918, 157581709, 550548875, 828520255, 972712775, 241100250, 600337807, 434291152, 438328130, 868016050, 971072701, 117760425, 583827634, 566894257, 669369169, 960856252, 244542890, 939423815, 442492299, 679618046, 114206061, 765678173, 614217440, 885789173, 874147525, 114193954, 639073207, 36282682, 662318695, 81401973, 307460332, 151815230, 792244099, 588692784, 796646594, 105459461, 627220796, 176727226, 35812346, 829757651, 449016539, 762519514, 48324276, 667837562, 801939567, 503091892, 323615365, 386089691, 348923232, 185290190, 306456258, 102529322, 241565984, 467509772, 470796288, 558539956, 475405728, 96143340, 728414541, 194943790, 333478252, 245999982, 385332591, 108428943, 725471738, 656643240, 664685056, 368806377, 641141657, 905211907, 94157687, 574779326, 161319103, 667336384, 963309223, 118050397, 621154537, 626459250, 517130106, 251789890, 837208416, 140051916, 831456440, 747530017, 651615975, 542061173, 858942148, 802827342, 837497770, 302197066, 161216407, 739151491, 699012657, 699777759, 294932766, 850383600, 780459623, 626672487, 871393900, 83151519, 111159718, 583768878, 128731021, 858678479, 520115293, 574683867, 721681443, 818199190, 499756442, 713261972, 602469347, 588343083, 772807447, 714224221, 511437051, 431922344, 813823153, 419839852, 724210079, 312589211, 822837075, 438173502, 324826140, 23332216, 913037906, 693399833, 606829358, 531476968, 401148591, 48322304, 902852426, 862864779, 640027679, 734529508, 685267902, 814563804, 182081708, 434016391, 187261589, 162449424, 746632311, 911282068, 25909645, 879793864, 320691492, 869609801, 30386503, 36949865, 821997009, 784744975, 348709313, 801577727, 759825091, 918605367, 263001650, 611074450, 390066065, 975304497, 833188341, 807186857, 302075169, 571413862, 852841876, 727139522, 137163392, 94834425, 494286255, 395025956, 872445131, 473629020, 779751256, 442945011, 595287504, 564070805, 967136974, 699481149, 538349798, 990460938, 227591845, 992455486, 548118845, 754204834, 728064738, 603335429, 203725445, 16995429, 860820789, 781857029, 757787644, 678927853, 522481343, 695726243, 171134351, 493202818, 508581586, 399493312, 743745851, 367907266, 569185189, 334914428, 409358203, 583800104, 614518027, 684660762, 575832, 84581676, 696573066, 300054100, 861641350, 805471511, 566386651, 859308511, 955579608, 795853687, 399302433, 922699334, 107011939, 330681331, 531111174, 613161787, 588447838, 776468559, 319031988, 897444086, 904050267, 44163812, 793533073, 129119245, 79640010, 80457533, 715494396, 163011946, 666996981, 623957701, 948683850, 646836834, 45914075, 751909710, 393597030, 989813117, 53976933, 58852914, 407051678, 237759429, 591126181, 552615834, 258926681, 397002565, 712255454, 460756184, 555968941, 82551046, 397908341, 975637687, 226315469, 613995726, 761569069, 691707774, 232158030, 516991800, 861202540, 604615899, 482615942, 42169926, 415927194, 176547303, 283256849, 466679486, 871346863, 803667359, 127784679, 403070481, 251376881, 288304714, 237565063, 635937530, 837677030, 973430536, 138622287, 345801904, 566908256, 207177715, 765399502, 186676109, 308814751, 999385648, 283548388, 925754910, 477304251, 301331491, 469556020, 851016568, 921441632, 950958756, 934150407, 777927592, 206037758, 707553691, 532837600, 277751833, 239616929, 215502565, 400499284, 759022669, 684853999, 579304186, 825319189, 982605613, 557362588, 864889364, 818001390, 262246786, 666190354, 303037119, 634058718, 458250180, 730089384, 25073099, 201942263, 371400416, 455099861, 480574689, 838908508, 78937132, 650686309, 134227920, 611215201, 662554011, 417283355, 69853065, 826949645, 891557007, 195499529, 634090769, 224524134, 557334479, 657915709, 103678193, 826842833, 597643731, 963011767, 832278762, 710240957, 944055420, 109440396, 534805631, 86756687, 263558710, 531054638, 759695553, 429034301, 194042189, 723770632, 226463842, 959398312, 594781355, 381289548, 987440787, 240466640, 289352068, 209633412, 84088109, 221406416, 261534703, 487262113, 893555699, 49727026, 758270531, 440537927, 693422199, 125709750, 694556174, 524262602, 136776658, 222599299, 282197189, 316303308, 881595146, 311829581, 685211921, 660411260, 107858599, 649385801, 160764717, 463709625, 239557001, 450710191, 655041183, 233864053, 721870953, 720674397, 612582625, 30237916, 332824078, 927775495, 429255452, 315826481, 44924671, 1632733, 427349153, 299446153, 536876098, 794702743, 571765087, 937955674, 879867155, 38268995, 948776618, 830918249, 421916984, 93474830, 366358544, 71673456, 160592027, 825980392, 97331393, 926344840, 291628927, 764275797, 62976013, 862901408, 778186302, 218566311, 507546530, 403691673, 402276011, 489594848, 72859078, 929263493, 985535621, 491990909, 40310327, 639147636, 109283815, 614489813, 152849722, 985346813, 550108062, 615077055, 331015757, 262712602, 923347104, 991210218, 35634196, 416254915, 69705296, 29164375, 906825081, 480680483, 639854940, 326317508, 745836601, 920679994, 468841364, 889349557, 658222426, 89914959, 222324311, 808749231, 286389297, 500293440, 999131491, 658274684, 170054527, 609522251, 350391180, 797925628, 933002381, 676038769, 69680793, 200293054, 175443543, 972069963, 937761872, 787227143, 972448618, 544377855, 597421304, 113072731, 43878668, 626305961, 428290313, 214228782, 268868660, 487196138, 250829040, 851886275, 324614011, 792849914, 248864575, 830669461, 176179204, 234297500, 690942664, 684491603, 527921792, 932188830, 704973666, 746280595, 711769802, 320866376, 942701559, 767508423, 14403596, 309979060, 739160281, 749485580, 817225519, 529906225, 1142328, 258508388, 292136958, 489424182, 620510235, 805788649, 537540126, 141900479, 265990217, 878897486, 811007010, 221247335, 136057364, 132385717, 663304201, 705502213, 159518189, 62428701, 896269668, 565330184, 523216562, 308874536, 401056765, 421797868, 558290064, 251506405, 677369110, 871955689, 804859693, 414125018, 518154459, 716471676, 828714958, 929640771, 851886835, 28864389, 13329733, 436416482, 892515573, 703609216, 302110312, 873889910, 89743727, 189945587, 377477672, 225405651, 695626637, 471369624, 122456937, 582448871, 699335272, 28199052, 558150224, 357619669, 367398709, 690872423, 151493886, 146550356, 415646465, 970717198, 30688595, 916347249, 688123457, 772741299, 257742295, 16874089, 613611520, 977352271, 244690699, 983032262, 464891062, 127552597, 217927317, 703447646, 417562767, 813248281, 446517485, 795732289, 376956185, 905642438, 937927833, 199794998, 983062219, 709445263, 876619589, 858399344, 826898086, 185065764, 888959001, 6753513, 983157419, 978176091, 467673220, 841158021, 65760688, 441862907, 225514888, 414710599, 48483932, 357765080, 455300000, 573009950, 114054312, 630263741, 942846532, 608134306, 485310252, 656209820, 695474766, 532939744, 867105412, 325437139, 923580059, 131705618, 108276195, 958710003, 625676290, 245607319, 724375610, 169969437, 109631770, 408869434, 74777037, 343337651, 864273026, 963233796, 611031576, 262466173, 388503915, 473057168, 91780949, 64076062, 165364076, 280500121, 25482147, 404464413, 186447069, 863420168, 315743204, 319631421, 737802783, 999023723, 868070650, 347098762, 342376240, 127664225, 883140574, 943350526, 906501003, 796710086, 689405738, 15682480, 142103341, 130196063, 803607098, 979724576, 662988846, 173320091, 632428762, 64490504, 331002556, 138769136, 733308826, 721673361, 514428221, 421757756, 495084702, 443217709, 91779166, 168063047, 653259349, 659920567, 523958696, 110564873, 38109922, 695630571, 220177351, 850042884, 634320746, 865702399, 852431006, 117803561, 634874846, 922687852, 835948236, 994704580, 759656552, 303231365, 443059814, 850646492, 858103444, 84971821, 488574348, 353176569, 434615677, 574481059, 979660060, 379856429, 217819498, 233195388, 403029131, 964035749, 508466420, 815448090, 632544668, 490475444, 378456235, 48336836, 656107281, 285194907, 563958842, 844279581, 319783385, 38134797, 606268558, 709664562, 150615120, 791928493, 872140223, 726922407, 920168155, 395440568, 339324359, 37197099, 832755052, 39524151, 216349392, 640740033, 586217933, 992543156, 29361668, 743797058, 300668788, 31805339, 61161378, 207564607, 752813300, 281613063, 351305187, 264533014, 120946241, 414888638, 763059773, 236341819, 153782726, 467791887, 102796823, 913755259, 28611466, 625487617, 400799812, 354955600, 954800329, 147425650, 345307262, 414047907, 299916843, 809553400, 622724863, 563077761, 409248405, 217181086, 154165808, 387939180, 66919547, 263192439, 52482756, 100986340, 611388948, 959266272, 299654808, 73991986, 432843148, 506818650, 314083677, 626793674, 990875964, 133357865, 100737104, 565138255, 447835122, 646016895, 129639526, 865203133, 243949290, 180635629, 455804564, 620172148, 774127262, 586600978, 45493328, 982667994, 334670139, 589171730, 104718985, 236218869, 943510201, 187272946, 11806464, 257200591, 226688115, 931999703, 802772525, 68554126, 426554423, 284561093, 528223042, 633638208, 141421337, 518606315, 362429031, 656441999, 710120582, 669143937, 125036247, 16382720, 651473338, 593577370, 78221298, 294785061, 814926071, 100018350, 412182430, 272879389, 79512662, 590394388, 541446497, 557608324, 144820076, 902995173, 641678122, 451051454, 952661211, 456454436, 769811394, 979806610, 697132782, 209790219, 915828287, 524077709, 930434222, 649803731, 753915091, 119030227, 925041698, 591558273, 559324551, 680042590, 856937310, 332831608, 732450608, 315349113, 651846899, 836164793, 561362650, 665556097, 242256528, 961688656, 660636940, 543349559, 68253275, 968519451, 612859112, 366433954, 289292399, 368903169, 739068016, 511485827, 38375135, 92897007, 808255138, 321966660, 521630559, 366991230, 107976879, 863584012, 291846078, 971738005, 580909849, 972071470, 307152252, 437075702, 734978222, 678217304, 89889168, 412756984, 30794476, 129228774, 229966969, 881992849, 886949055, 342076186, 945521303, 466537662, 442928461, 524043244, 866433946, 69723368, 84819776, 956442870, 826203662, 596192829, 155556651, 326438216, 642567058, 506074538, 985879459, 415328555, 825977083, 356526561, 412833909, 983475287, 402844668, 222673328, 667746111, 88335, 334670335, 186244458, 705803593, 149610274, 578128623, 656565232, 821037087, 493369825, 333606060, 713062893, 52867007, 50453348, 72012328, 124708094, 316292502, 494121237, 618518228, 936229617, 396833072, 701226853, 460130898, 460420957, 425879218, 897549123, 365618042, 535534433, 386313888, 279446014, 98908916, 911069855, 197404652, 323965096, 703242353, 950613079, 622073237, 790866534, 683714703, 365397913, 627884163, 496115425, 238238419, 331380084, 448316261, 814197834, 864835816, 657283935, 632585702, 730338847, 162987065, 420666371, 601255937, 751592984, 682995408, 672578076, 676003829, 260867174, 814204727, 60658645, 874973292, 542403524, 538641613, 715979569, 517727372, 360560699, 933072414, 409835321, 994175753, 624490943, 425573674, 856114331, 499028367, 496706754, 384402113, 875296052, 320736484, 985358062, 137606207, 635016806, 895064952, 910471231, 286731309, 583639987, 312254013, 23351156, 223573833, 231697587, 913972019, 588856968, 289164451, 952657985, 56514426, 443961193, 748385507, 783305454, 227503834, 918796591, 211350830, 926959253, 307469751, 937490055, 652599567, 804542573, 683175920, 583120721, 348232648, 252793995, 905129641, 545840268, 135262932, 279796030, 697961521, 912946580, 677180053, 558865595, 892120597, 732538916, 239622552, 659529771, 64348669, 194646212, 799512265, 380084958, 997828410, 443069777, 319116170, 859655, 760466474, 102433733, 397852824, 445257080, 255190290, 710414135, 879518521, 866933000, 505433697, 768443657, 614584561, 13114318, 41067678, 751625699, 246377897, 121730467, 464573398, 961529099, 695150345, 596470153, 70299717, 329567356, 360739005, 891708866, 321887923, 528588112, 869050551, 432183062, 551308129, 889102543, 64056587, 814105749, 572849910, 514942417, 256362972, 895551660, 111152934, 46202697, 522605913, 319169115, 482996753, 540976797, 90594092, 277816433, 619986931, 644946253, 785542655, 393118180, 562435030, 299358641, 865988389, 279569714, 317306404, 367811344, 994319821, 69771629, 365322102, 676624544, 869878468, 947011790, 259446984, 798553214, 193157736, 82004334, 240904228, 306241642, 608522820, 441950066, 72584146, 46955653, 874884561, 215898194, 160981070, 454524520, 470765465, 732686821, 162614854, 800720567, 11393600, 61747714, 267991038, 408159318, 253256961, 695410822, 906477182, 638048170, 52192456, 797050481, 31414012, 914355121, 836022385, 579401981, 444541348, 130310304, 597434549, 216333820, 705433333, 920473825, 674064691, 318799030, 719267304, 110914796, 855493851, 797029490, 789915141, 131560992, 726332702, 297539891, 276154017, 664756231, 317467178, 926510643, 873485250, 156373017, 897072599, 86354322, 102952679, 113599135, 350571070, 190103607, 820326638, 564642599, 954792737, 621794314, 569099223, 109760971, 694271918, 407637669, 653580050, 446869863, 22622101, 407383992, 678539798, 648661199, 627676734, 47253040, 137969364, 386710064, 92123346, 778485489, 155339330, 169205834, 451290497, 678816085, 682924058, 195107805, 379695210, 438749049, 404098797, 689127754, 277009286, 972012276, 620034900, 937045546, 126988228, 880181901, 645719463, 7484471, 183521962, 243113618, 794877893, 739381923, 785285842, 860597950, 557679723, 420421739, 135577877, 797955392, 259967586, 10284984, 319743978, 212226708, 57161610, 631996999, 44664747, 375825475, 518807641, 49850652, 593627241, 667261356, 873366556, 220620718, 730051929, 780645822, 639171262, 118982350, 516881388, 697238823, 111159130, 5309780, 94615398, 744978639, 646328127, 322422428, 861151214, 744957294, 533446258, 586921489, 279567194, 634356441, 13354743, 968033930, 784016190, 963335521, 390928660, 561807264, 656514967, 537954042, 417717415, 681562930, 206744976, 232869441, 291813145, 631667697, 380938134, 609139059, 927497046, 259066983, 44304759, 482519440, 433381055, 212838454, 255114963, 676814328, 534083123, 114515705, 658559578, 677336240, 819197877, 469745866, 327975716, 253589930, 230633489, 356295266, 490159376, 978858616, 55543276, 268478496, 487512416, 407075560, 225931026, 124608654, 27609072, 926069567, 150496858, 454482375, 601087380, 416732994, 603174813, 811044233, 964304594, 71086763, 974753871, 838075457, 921599061, 205972975, 409965194, 72838056, 292290751, 53682127, 182033517, 127696384, 670598146, 819599190, 318587142, 909002182, 195599617, 577596322, 259828490, 167798037, 458966039, 786594878, 357303948, 429479640, 745432357, 184849031, 251353720, 557904512, 298548708, 220028369, 339142691, 247609685, 236627203, 609234625, 466842732, 787887082, 51850892, 905760001, 187672640, 675367682, 329645424, 338150060, 569144281, 641343174, 419830881, 554578661, 568089090, 200828316, 749123665, 723837373, 664234571, 384976114, 540311658, 624903566, 329303896, 356923995, 215647556, 512846226, 934960870, 915227807, 893357593, 628580842, 138941801, 499039833, 145729775, 924146523, 192771927, 424711046, 650156042, 485894293, 447550896, 873012795, 181343395, 394447265, 662082518, 377161172, 80522759, 929687211, 146060910, 212747210, 384759104, 872206866, 72895856, 987114098, 282636087, 835920041, 461401168, 604939327, 34607047, 554576062, 123802863, 385191337, 897493567, 173325079, 627255978, 461574670, 957565805, 577493571, 259339878, 801704543, 577823155, 27751917, 303801050, 905144614, 18800650, 765608591, 23461802, 394673264, 481402720, 440709996, 791094131, 826399675, 348779381, 737296056, 647561172, 887497770, 535825711, 627559243, 701261119, 490593800, 911616880, 875009832, 633530613, 849099437, 513216190, 974014316, 334827231, 551649428, 321019835, 259800720, 909298892, 2989620, 289912454, 123233798, 166671367, 592503741, 459661918, 736546448, 558150914, 165459991, 96092449, 842355536, 114668567, 84946560, 137337230, 503873974, 823903357, 690902118, 690626675, 626897175, 164607283, 320889242, 50011343, 127755353, 430451680, 300211173, 427592558, 328410620, 226799466, 574417349, 854231673, 350680094, 675775762, 177508305, 620542375, 143947090, 416184710, 887184828, 895119644, 652848913, 153104910, 919880955, 883005557, 787837531, 216705858, 756964219, 270155939, 232113706, 171910521, 244713279, 819551208, 797188853, 714238660, 941802280, 731701702, 547181071, 366982297, 489483443, 469586935, 996289406, 918974786, 771079459, 658655802, 283641500, 551862865, 2351208, 841219132, 702142668, 421063136, 979635820, 898228114, 596467748, 106193108, 125005636, 132099025, 208870913, 35046893, 113352656, 428530969, 195723454, 711429404, 641959542, 809958628, 743897236, 259479536, 227146695, 253342035, 61838387, 5795974, 423948939, 854407646, 66679715, 819541670, 982856870, 779745640, 424009568, 678339871, 270516766, 673337752, 770973685, 20942047, 30944454, 453219694, 917241787, 836822204, 627177389, 584114513, 413031704, 422075571, 38663092, 610854081, 743200341, 464997624, 703571229, 136046584, 994945642, 568951029, 385882524, 765717828, 476509896, 940774087, 127219979, 186570447, 709676610, 489585499, 1443236, 597599525, 322795455, 342348303, 474424537, 593169833, 742690936, 625851396, 411749664, 350233742, 80237999, 538058327, 39263825, 333349607, 875895564, 18747541, 444239139, 965276407, 666501965, 920214448, 85320486, 919559051, 92676310, 946942202, 813780944, 184868264, 836615685, 426961616, 656944087, 390292997, 776322841, 444774502, 799062032, 773675673, 469943891, 867788472, 604395078, 398762254, 114826469, 560177600, 631547006, 185882407, 586606962, 277309594, 328219927, 801181339, 98624434, 471654779, 814972017, 476202924, 762447762, 387936519, 555272470, 657758930, 679362272, 258080662, 51146410, 300217713, 581637852, 888315118, 383516978, 399828867, 969535486, 675905811, 31466996, 302303187, 77068864, 157281984, 166431492, 369433553, 717900129, 795643852, 414455989, 478177603, 824658223, 691652692, 377296825, 170109237, 625296438, 635765545, 62921760, 684432833, 454730336, 788369280, 371065401, 679626059, 396261570, 848030403, 796328586, 807830466, 166503944, 58903384, 754929429, 785731882, 258898570, 325158677, 911851784, 881641879, 242285897, 74214998, 877514547, 283643987, 570003855, 672502650, 635011935, 384251142, 742272896, 671682847, 182786576, 235181706, 119850480, 928337602, 956480100, 385775917, 756474847, 80113207, 298287164, 481212861, 579690928, 619058875, 927351804, 656379429, 817890360, 406204759, 90389579, 274033354, 224695927, 542152915, 150434443, 843586896, 293148839, 154552108, 645768578, 288541661, 600938933, 197726130, 875108493, 156011402, 823560887, 609682975, 230304845, 948083694, 91734809, 832432120, 391705039, 372425210, 304451490, 813269367, 301247837, 753118233, 467555492, 405519905, 250686002, 298338313, 340027905, 753744201, 742890590, 803775433, 232789500, 259411870, 795513084, 367178795, 340840830, 225548531, 533916112, 717231374, 296856585, 448298873, 218987194, 297521247, 632568643, 58610839, 205930254, 809079897, 168478252, 182378498, 591510822, 421923122, 482270448, 911925825, 846502901, 589631102, 41847154, 216377025, 231226297, 27005902, 637769424, 255163945, 502841172, 622962497, 655161523, 75953562, 167580681, 543464759, 477808433, 352505861, 562525485, 269529512, 553773987, 403207609, 351198466, 391127893, 969124675, 720844546, 650646949, 709807198, 696739881, 941643240, 560668841, 197009119, 842696359, 478965105, 405021624, 416249347, 462494658, 551509551, 7712305, 975878289, 442681025, 993139279, 759536424, 543389648, 176666397, 501543846, 708344410, 577239237, 610206485, 723784393, 106792669, 529996148, 148341243, 252758591, 104845275, 164578758, 554993768, 341862314, 570471669, 158267010, 675262496, 932698519, 110763450, 781341649, 110310876, 941157979, 335312233, 258714923, 676977836, 998414953, 738699134, 744135135, 859372106, 43429391, 575377689, 204724476, 107009627, 947911586, 15869346, 185038225, 444621971, 563099458, 986588469, 181151652, 113726489, 802213203, 218527562, 796958915, 783882962, 780502635, 49275560, 231598484, 362894780, 276183626, 625756056, 439591964, 908850264, 372220574, 635558262, 173393292, 805333557, 411584307, 577734571, 657025679, 55542705, 552564650, 750785670, 849141994, 719578091, 917739002, 89908785, 69455345, 568377575, 580260708, 908439174, 897744100, 282636764, 623985599, 160118743, 48683448, 272830682, 603536167, 319262460, 75681071, 887491630, 825789688, 730043097, 941109105, 417295007, 953560569, 463694234, 239006976, 370067410, 809420022, 442306713, 345805294, 290326251, 663008784, 804091273, 144706462, 49277925, 692802773, 139154327, 248501979, 212967463, 229923910, 816521422, 338249787, 736145999, 929710810, 792077164, 848377612, 369579188, 716557408, 565126946, 504184837, 669561120, 958230595, 136120636, 82785331, 967169522, 368370448, 82788764, 349907686, 880706675, 314768269, 602917099, 292040982, 689780537, 775555000, 186388852, 53356013, 259084139, 889727743, 977935918, 590902354, 564318905, 888146839, 434348180, 162753917, 306934182, 657605837, 281826696, 156231281, 178503497, 960122313, 118852907, 678748511, 816320858, 20189644, 550428175, 579870494, 585488079, 504063431, 628328306, 753047340, 614501165, 504162618, 454987754, 861229313, 20160608, 501696146, 806409907, 6919524, 933765222, 508417063, 750077412, 922599538, 129059489, 42034339, 658971765, 990659241, 753959682, 235322914, 467435340, 60561543, 659495361, 331518899, 941342485, 238453278, 269713234, 35418962, 615509261, 596688092, 209502521, 870976832, 489625610, 137566968, 7339360, 950115254, 887409324, 124228550, 264631775, 836728561, 385563947, 520875683, 769607608, 620859571, 770663243, 901597618, 831253556, 409038628, 949321001, 97493248, 985622540, 745249637, 121263802, 418578966, 401434237, 943632838, 870388272, 656892166, 70607572, 481100706, 891547394, 661208723, 686294341, 50301254, 928125430, 647796178, 219009988, 256894817, 757659514, 35710526, 543669638, 649380493, 87812898, 886341723, 653448763, 831185727, 59237524, 880073479, 426967573, 682752710, 393475179, 791402228, 100429173, 895043820, 519685094, 435289464, 63268264, 222981613, 586934130, 219946627, 326014124, 720844972, 69205971, 751185606, 984191240, 905429109, 932822023, 447268020, 920422821, 748584619, 4630263, 634656595, 447385985, 956848726, 261006887, 54989379, 404841551, 697667794, 74532632, 732600633, 601728695, 768454286, 919088173, 979915187, 267299213, 898496394, 951293113, 497152370, 239385211, 224400973, 800734808, 590240940, 601681780, 358271366, 201591433, 191817467, 29991814, 456587997, 698747433, 488217725, 747660236, 928936298, 128542204, 741443821, 225023819, 735034740, 70724770, 1646273, 988490251, 245322182, 482837911, 552467882, 853119315, 686318174, 618746117, 928227495, 333582023, 300243931, 336478037, 986394858, 788013784, 911264017, 541449491, 874561718, 924167550, 24330452, 708056581, 933697008, 801901448, 366141358, 990467090, 723730440, 686255749, 451054324, 575963693, 995500499, 270875822, 484587253, 56066232, 232872965, 880421704, 492937357, 324017720, 965225281, 57164794, 666520521, 418964865, 328039111, 343888249, 741245988, 557328849, 405327858, 102171260, 464451944, 136565691, 735941584, 9426223, 546773591, 185343008, 58159322, 57720213, 518236562, 854747925, 335118930, 547457860, 334386770, 684316156, 577948686, 578554494, 449501710, 483329038, 13115415, 10576036, 598112184, 369967193, 439275446, 48486010, 951811357, 10956486, 210391001, 665911484, 370913759, 969912885, 191297205, 171338558, 987401292, 306686616, 380225618, 557150079, 908958890, 92407071, 622849368, 901605450, 501324825, 411893001, 486231194, 76794408, 151944512, 895214832, 370720469, 175464887, 967403099, 195754213, 45207711, 382329183, 365128656, 244368179, 296917725, 60342057, 356988798, 707735928, 844591244, 697253443, 763401059, 883614664, 713510305, 769360856, 898069158, 455795300, 993624297, 637229075, 912348098, 461576850, 331296406, 391385762, 376072761, 767221291, 887280720, 563397679, 996624332, 552796969, 390587838, 784414927, 251439043, 623413502, 398755555, 857660575, 865296809, 298532027, 604387977, 792774909, 134896495, 887684076, 652331234, 430157182, 523386290, 809655682, 388286779, 775644888, 761828453, 767616630, 211517247, 882379655, 214128765, 73659053, 84672046, 888096838, 818836160, 610136320, 566776336, 53591649, 161440735, 848208206, 678210677, 895039787, 249525153, 275801780, 385811820, 36587030, 544909242, 137037701, 403009653, 811217222, 916071867, 11036614, 334238332, 448465205, 878746344, 115402531, 667282659, 412706944, 942913411, 203924151, 245317671, 670120514, 332087399, 116256747, 908736290, 837807539, 691432118, 494539906, 123015003, 613080528, 674381879, 10045797, 407579800, 607064713, 623203825, 538873656, 567451080, 107072883, 325783589, 932514673, 465210199, 185099822, 718441180, 283895976, 197619583, 175023908, 649455062, 944312074, 515927006, 726912101, 339327562, 543916862, 829906194, 108809742, 26366797, 154802754, 674713035, 82991680, 791066841, 811252369, 39694931, 470385497, 889067910, 693919051, 100461462, 604076231, 915400240, 597691644, 850823921, 350938437, 202841347, 434629485, 890691573, 366442987, 83261931, 404186868, 627403505, 165444841, 819619854, 329928806, 952909364, 353866108, 736173093, 260606388, 735748986, 566646948, 492054274, 138349980, 540224499, 614211567, 98241539, 516768194, 98039352, 231507108, 325037696, 859297363, 766527945, 732588903, 159042797, 333471430, 670882081, 110713335, 246626641, 668787373, 302156527, 807633970, 646236761, 469328975, 661117685, 571716013, 774810694, 203427768, 119938479, 315003547, 602432579, 564776564, 390950344, 946446471, 247002363, 861299576, 921249430, 11567576, 833509471, 957965625, 287442462, 946468092, 559613549, 820115485, 786665940, 365413169, 37335069, 595802888, 351460393, 995403477, 258531273, 429947783, 458128753, 58521654, 531297797, 999713614, 98999647, 499889442, 300066058, 949672483, 219968673, 405867023, 844785871, 125305984, 88483777, 730030604, 966010260, 653186265, 936250054, 338125684, 304312684, 248760642, 996374552, 757017067, 11992666, 465590865, 296632425, 179198389, 939794171, 563761330, 396727205, 615303663, 809783226, 878916310, 472632942, 387105198, 559978693, 508878350, 866002959, 222880250, 555629180, 657701745, 245655496, 194031571, 250352452, 36348499, 593289180, 160503410, 341368159, 506849603, 419989635, 692592449, 67959855, 30722487, 726862569, 68011459, 887272636, 648246519, 302143968, 11166347, 501832105, 10752737, 936581358, 539301720, 141661947, 695743148, 526622548, 834091317, 719885165, 124351451, 663179605, 317123440, 296772198, 237218234, 332528047, 163055049, 209966672, 765570226, 287898654, 661527397, 156627488, 480977593, 671071696, 590745910, 134963852, 275216327, 996818326, 613796596, 194438333, 336656011, 544374207, 973475813, 539688027, 678455136, 690657547, 921908014, 528290630, 839967283, 151584452, 732596874, 495843446, 941381590, 780490369, 834553417, 253507148, 909617857, 346199140, 892463506, 18736290, 244182566, 183614392, 244448021, 102536197, 465531758, 721454136, 804154265, 578459212, 727191744, 234526706, 458036611, 745324145, 212809774, 939329167, 558322793, 686237182, 465690551, 758727832, 58470321, 621548009, 258051478, 614680952, 476194201, 601734746, 796977021, 118504284, 31390794, 358923814, 480852403, 3831085, 513577593, 424368251, 339598414, 269514604, 766718771, 944318412, 858994897, 75289284, 170410253, 29519955, 520515730, 469687788, 633303116, 990497355, 325167870, 550847730, 140751732, 450575616, 396515781, 794958108, 776549143, 706957470, 921813304, 811361222, 630910650, 174701961, 590526177, 676602876, 149261647, 554566391, 633755129, 19095875, 608484778, 234138702, 381591406, 651403233, 747566384, 933067885, 253523396, 307356742, 476004520, 145586731, 177759478, 135780158, 953245998, 76384609, 241435306, 881403715, 905244188, 842422005, 617983850, 944381610, 462246273, 966492081, 934429864, 842987250, 950935989, 711424157, 299546742, 688827548, 738190854, 574413117, 676095553, 574015896, 741718254, 751481621, 432357116, 260864806, 655998961, 770761456, 273941326, 360473044, 612348390, 173057240, 287242032, 282187659, 246877878, 232522499, 320126814, 533270196, 812909366, 885771285, 210485997, 525414848, 878486975, 119227042, 35191770, 983810980, 568853996, 912903439, 951261852, 898466728, 594765429, 695111842, 364844759, 79135125, 815421010, 159164806, 819188100, 662592801, 340074258, 654452447, 980546017, 984931806, 337189927, 57207171, 685347986, 78391590, 840114054, 388067325, 270561656, 89513581, 806317090, 465287692, 590492558, 130903401, 531698006, 484540677, 188143912, 384258830, 499491235, 109879738, 482698812, 307338820, 20239785, 978046260, 497384198, 271422425, 330764669, 376647163, 9176567, 860505292, 873555595, 701885829, 801750355, 15249149, 576471011, 639194711, 334565762, 282666503, 694138710, 839544612, 76912267, 806768370, 610392575, 37668266, 603920674, 109729765, 39904926, 870253981, 828795385, 43315484, 846228159, 925372794, 591546770, 727650437, 29313655, 896657059, 155687473, 146535940, 946416071, 520977226, 856571671, 259836483, 372385906, 299298268, 975818880, 103283100, 768893544, 259509164, 174994002, 758521052, 855717334, 541686312, 7425253, 470343952, 293224257, 250328388, 464955853, 496008969, 635530890, 440218795, 341341651, 665732677, 405265387, 426222437, 3947841, 407419729, 97480774, 127344215, 909068964, 849833706, 529960859, 343823784, 611955269, 474280356, 272371842, 280586939, 830284240, 730114546, 214504356, 529484749, 283432734, 771021693, 590571037, 385747656, 105246842, 247171286, 686422536, 268902733, 392441581, 729372664, 838304016, 599309744, 61581289, 196659566, 212614129, 728984451, 877740502, 201905088, 833843956, 766594710, 435965004, 255002512, 42360721, 904498354, 411931602, 493645517, 696369003, 187987848, 451882113, 164605146, 283967550, 547320866, 480633457, 1299001, 321704953, 537484900, 584055665, 359024926, 634252726, 76617499, 330759207, 356552268, 159389287, 337637485, 264529225, 769990461, 821483268, 22148366, 552443306, 641229743, 234331060, 859954010, 715736194, 552313519, 36161416, 89615507, 498023992, 469097902, 48162655, 788692501, 964961643, 546146478, 829238469, 879369307, 666749872, 408001223, 210660707, 474723880, 121949222, 721458644, 192201422, 857939053, 734935884, 117198776, 606842697, 994561447, 574979338, 769082795, 446013358, 742967125, 64239212, 202995410, 315694411, 183405440, 679759000, 270539944, 811105729, 292315539, 906899587, 280744119, 606467387, 462030700, 746254058, 659323293, 766081454, 38267246, 456606642, 670466142, 611187577, 43090301, 989708596, 541495606, 610164392, 596757947, 397028009, 202452449, 453432144, 257271054, 249461136, 889228834, 642555183, 806462418, 213483831, 370901056, 383531085, 238523389, 555589373, 5693737, 565832111, 67838823, 542629599, 469752695, 763553783, 225724499, 503579017, 842153626, 629651635, 160059973, 495122142, 376107435, 55085150, 739608819, 387833257, 110649110, 87390086, 622032501, 597633210, 82367321, 830075364, 336915180, 952037378, 367766169, 421108110, 622635197, 314112723, 968868271, 544987487, 565451730, 873197017, 754811042, 483569513, 302996654, 674681588, 352377702, 611631305, 328705710, 627155364, 692501139, 993050003, 119532424, 214491664, 247121279, 358658426, 818429743, 856165331, 799705485, 144024234, 293821803, 471678405, 338076307, 183020553, 491755920, 595439578, 660371979, 215288345, 937690577, 650678750, 475679817, 693495245, 682119011, 40560331, 111716401, 252304787, 347789101, 268095774, 654787606, 219462147, 617898975, 353421514, 287543074, 766942663, 969905272, 996944087, 59711287, 913856124, 775957987, 810206445, 798953936, 920805202, 466271564, 838582192, 39953631, 174603894, 707833403, 711421540, 559830401, 774604248, 727309384, 340014326, 603691269, 25680302, 159202113, 12038004, 973851087, 905123966, 456523239, 806674471, 600645790, 676200356, 797459051, 263226093, 507288770, 626007092, 556336735, 791517384, 802031381, 151430317, 325565776, 32092493, 479848819, 810641526, 383602726, 806345027, 926287297, 212227890, 113632177, 552086256, 561608274, 244186468, 750840, 585730999, 924955668, 549591702, 800370574, 315814447, 350522845, 428484917, 793118133, 522035145, 320976403, 742412662, 621914769, 619717456, 699178694, 687730625, 579374595, 876131746, 411859937, 582328394, 330937169, 497490757, 113085072, 807984205, 992693614, 730573982, 724644708, 604156133, 154531105, 158427135, 39918226, 208742503, 877095193, 989288285, 630780755, 291973768, 302385181, 552271705, 800040276, 193631038, 25411189, 23750324, 249236863, 274847442, 94753056, 984934910, 69708770, 263668668, 708226628, 584382563, 725463466, 646148221, 25454904, 495826739, 338674582, 555287824, 599001674, 239776311, 234665347, 522583573, 315309528, 597023464, 486980241, 620585710, 540012947, 829347998, 973426039, 36251066, 924474611, 371877586, 105709527, 20355310, 296623048, 8681913, 255470560, 753760163, 189014032, 650769280, 707402044, 860178461, 311683190, 546266491, 612266525, 903877790, 52652479, 874685874, 178768599, 361337981, 446441514, 520243841, 76656683, 336740445, 327813340, 424955018, 30068513, 657456522, 537396280, 839471187, 495245471, 685558612, 206038180, 161246892, 437425318, 513679949, 790541044, 290643843, 229152522, 116577826, 304758814, 843252054, 669705382, 880492994, 474231497, 37682950, 923932366, 684337931, 813711285, 985198700, 211925007, 458878698, 324036284, 26543284, 845200635, 194576126, 190916518, 529311819, 300479499, 870179003, 113723487, 936246105, 152622744, 10098302, 785739258, 776941730, 395675425, 477692753, 9263165, 723842599, 682054099, 495471914, 7481196, 150075988, 542492627, 45175025, 393203383, 324574162, 395694465, 518789983, 846901542, 439123617, 316625308, 107630930, 991837225, 623546062, 919994084, 781781174, 815972076, 102050828, 542645605, 801193873, 910662098, 887732950, 746209937, 567445644, 806690673, 760035245, 572473191, 264869670, 647599095, 243877351, 1353848, 326209968, 262377499, 180353252, 888486055, 431688388, 675487938, 808527844, 285683359, 446293649, 711752628, 553730287, 724957797, 741162757, 523971866, 903895371, 668502709, 193485263, 295334399, 410235527, 736024415, 862157568, 881939394, 854086950, 28644884, 829747754, 569587319, 483754247, 145238645, 457785109, 467140132, 143372630, 171964588, 275087755, 368479768, 631257597, 719244068, 167172395, 518514482, 374998459, 174331902, 242661333, 502065849, 169725571, 318813790, 410092787, 930361256, 2486283, 667338533, 296810959, 324151549, 465283585, 422039950, 899306415, 577795395, 199501441, 912991967, 797701654, 944263050, 460856642, 605338817, 255359096, 30082307, 49247185, 691804645, 921431431, 702424182, 923873660, 690869875, 923365188, 994416348, 8676347, 718061096, 972396822, 182996061, 329534080, 259134745, 68882078, 393141110, 859312728, 370667051, 467039490, 663286810, 503549375, 654601063, 924530153, 503457844, 324978174, 243948338, 834332536, 460320243, 587980831, 674201502, 548119845, 171064255, 729525559, 286783746, 556107828, 659595673, 157035742, 10258734, 653612821, 24108591, 362770291, 684463683, 259478504, 387721633, 436258639, 320957677, 828059032, 833574393, 735649958, 750849079, 627276906, 567058147, 239953108, 748867012, 387318925, 366702714, 202467147, 88869886, 376987173, 682373011, 934597318, 8470206, 657027809, 494858858, 623883278, 53310706, 753181664, 128252348, 203294714, 3945365, 177474520, 893616760, 300928881, 68584444, 276845256, 253331389, 253692135, 668311241, 287815267, 534223352, 194130824, 937469401, 220888060, 378762635, 777471997, 406937073, 444621155, 373361949, 591204408, 790981586, 10199957, 23160845, 156764152, 545552236, 113653949, 430064816, 378637048, 281688139, 94565633, 285725339, 992609330, 764309975, 446723939, 544743618, 563492303, 773917756, 893593926, 978432444, 591596816, 652377504, 741415639, 57258649, 402829177, 389285709, 864106942, 684869504, 833772901, 483990062, 241114631, 817081975, 851753574, 999109104, 860298678, 83233396, 513197245, 185979143, 934958465, 218108309, 29578176, 284294739, 476431239, 525767337, 146150520, 244767377, 915460633, 690605255, 859627521, 12562443, 918095146, 762617457, 67520946, 433646552, 254120591, 403137450, 771252359, 709897261, 797869027, 995838291, 517507426, 113053227, 382009942, 711902976, 470526830, 412417627, 197036329, 403487589, 825589871, 925589747, 959329972, 524552226, 29975656, 404035257, 531284928, 254699136, 734748447, 282180072, 802641836, 480780321, 878512025, 273327235, 490930805, 122829386, 923350174, 821889593, 616104525, 127645522, 136011118, 189654373, 547648497, 581480620, 400792261, 692975594, 354770751, 651840329, 221031817, 46716762, 767013349, 2528200, 416446468, 667187047, 190920536, 130867549, 389333627, 28284594, 545080443, 481139364, 459751129, 533452530, 489959799, 615162771, 764873470, 462745199, 290221854, 731607064, 828552404, 663905868, 835021716, 6956270, 763383014, 268836822, 58061797, 189126688, 143661550, 136630063, 54446550, 651108974, 720841986, 152587614, 486410113, 925046485, 535083474, 128855595, 349836891, 767944207, 726513138, 586066542, 585632363, 829009223, 617155304, 582702173, 696607142, 627228534, 557276853, 50049287, 238000725, 741891942, 41852039, 148335577, 397682760, 992159034, 872641514, 928067139, 427831561, 113016813, 793171338, 359691993, 176430776, 764981033, 891857951, 776585532, 523488444, 24111494, 637519766, 391112863, 492066006, 785612887, 838229454, 849884020, 698041297, 729251585, 852100419, 943054443, 465149341, 587202368, 914306213, 71906378, 376841879, 2861545, 710579949, 930965874, 127415752, 687267442, 233328595, 898022964, 570604831, 717992782, 51653393, 120180821, 710350296, 573037528, 97975767, 582259549, 634149433, 404678577, 602464738, 345449473, 832950675, 402536829, 718612514, 84364489, 16241861, 300805525, 646974989, 18445921, 744908426, 119643164, 781201112, 26519550, 723898831, 537509879, 126901086, 791303924, 846018818, 235843116, 10059655, 669049877, 662093815, 738816788, 832983839, 305323098, 839224520, 363890444, 98412317, 524229664, 834637074, 840397600, 244544554, 678903044, 829605435, 685874112, 116652824, 939981785, 540311495, 569250356, 961992556, 493173324, 594645290, 371633678, 686444067, 300029488, 384307788, 423441105, 692995897, 195614961, 410815423, 749369576, 975346651, 333380334, 181162270, 519964274, 882265311, 614531574, 813099491, 228390825, 326250577, 316427528, 780990263, 681621365, 876522107, 75133858, 509739746, 837674930, 789848650, 141850046, 270348851, 438419618, 241656976, 46593641, 955585999, 70115463, 725855892, 52018955, 61813051, 155533818, 611158047, 975792737, 806090480, 701050730, 552271846, 669986368, 206389212, 239776916, 991566926, 748287356, 121129205, 134697115, 551498157, 730795919, 173220804, 188642533, 136427829, 594458509, 755669231, 589094863, 783090009, 88369562, 63019336, 155312205, 793751468, 16013005, 560085963, 570036824, 44707393, 220882799, 400841256, 739127931, 790840581, 983592959, 773056409, 310921889, 811904898, 31472515, 49775023, 719626767, 123318308, 398063375, 29726708, 841646926, 667666288, 123973850, 245261486, 264164135, 266553248, 640785347, 461436204, 823620881, 783356097, 925072022, 585438415, 220108709, 181414833, 223389527, 421266624, 705630089, 818670161, 356977191, 581322523, 542184916, 811554847, 849567780, 83533997, 782721575, 991612446, 431983088, 347894750, 676536032, 416590105, 226777627, 129855563, 198042931, 893567457, 269181497, 704794579, 884170011, 754001612, 175543958, 623087829, 227090400, 900379202, 65173502, 732461984, 924291554, 775469008, 462798883, 293852522, 156933781, 54247789, 748268968, 959604814, 321185779, 102155795, 902554300, 335723132, 924543813, 503198363, 156904355, 921463083, 953021714, 41348158, 251357114, 675756923, 220503302, 974130525, 315387333, 622960253, 281990096, 734696309, 994519662, 120892389, 779033576, 877017349, 51019644, 643352505, 745054738, 404571729, 190535774, 964665715, 542206305, 490900025, 183032786, 556141274, 117579859, 290322016, 39444073, 401830795, 978655341, 918550245, 126203730, 445101671, 660785441, 991604560, 906620254, 804048625, 433190274, 132313111, 998068710, 53336019, 271221643, 686185210, 59053281, 807698197, 527467880, 307287037, 525134814, 745783578, 240477706, 187411622, 365800408, 54657038, 717871325, 522998505, 826300287, 937625639, 206807774, 385124374, 841882635, 456257041, 840270150, 502472220, 634167501, 60197698, 684469075, 324091166, 246537801, 911404939, 938963421, 856074482, 470517198, 455518708, 588803799, 174103168, 605169178, 936198349, 806686205, 614782649, 621944898, 642438491, 723130554, 116541384, 551215491, 510102981, 783898178, 216546291, 519531987, 321302529, 981670868, 663746942, 806814049, 157411822, 660622507, 626200512, 582293740, 833205103, 810942190, 126593377, 880999919, 540240373, 402444052, 282843462, 397314369, 677500021, 616425648, 79288720, 786639940, 398618490, 296197566, 577369521, 527680592, 438570544, 403798753, 369575555, 429534677, 970986005, 679032533, 260110126, 238755865, 327307011, 923594372, 76810710, 436176637, 358905244, 820682778, 785511513, 490613897, 580928416, 680884286, 324711951, 616866844, 39374026, 435151742, 448243066, 920599169, 256931703, 1378352, 123205655, 862226322, 726808544, 173157251, 80861403, 784968986, 123805292, 694601331, 550031962, 721640608, 536661073, 957470485, 992616542, 614849563, 864997100, 860350886, 629415263, 807302948, 50654537, 176520556, 256483336, 21057169, 140284803, 364396755, 808311208, 754096698, 317507729, 720234591, 121513484, 105109409, 408097275, 827961429, 74567277, 393220821, 168015973, 223080188, 78860942, 765871002, 24940744, 212519243, 33126979, 503446877, 719853557, 712121025, 799423134, 189718263, 102982747, 9090378, 867224821, 374030050, 747268257, 404787991, 302754031, 921061304, 898884600, 550877153, 397985000, 916771928, 281920640, 346754714, 711890060, 897549233, 591237469, 706880930, 208186776, 861209297, 892134799, 292943608, 441066878, 233628139, 758181059, 963770905, 285226616, 203585909, 503949114, 244625503, 51439362, 148257595, 802244300, 593754659, 390137410, 239804814, 975261661, 739550067, 53238290, 996958392, 917898632, 990227161, 782638064, 383069906, 870771427, 353607856, 467858814, 887190767, 16552162, 809252697, 869458550, 67232650, 392634309, 675700642, 838239836, 461603422, 567275394, 92362477, 368114508, 622687895, 233086634, 307123482, 936599887, 113514929, 110742724, 469988310, 391124793, 573743471, 337301160, 752490339, 748799081, 725602007, 715012736, 459366551, 316978874, 267882797, 795626777, 282541818, 582920649, 141855890, 976064780, 622635851, 765277908, 469567754, 968916273, 941988011, 155272561, 781624035, 608345624, 735361121, 857449631, 998653676, 787203642, 55801310, 378028684, 482803836, 510317322, 987377909, 721468274, 377644071, 777397289, 212008810, 950118485, 926497806, 564262703, 124722275, 527210741, 237055779, 83996116, 743395938, 879311123, 388473003, 354512244, 481981781, 352634819, 650079386, 52129161, 599118844, 255743451, 212986538, 318376355, 867985568, 27480865, 170512258, 422289265, 960355220, 967169398, 246861143, 519630938, 327863182, 246915178, 236606563, 246601499, 59287481, 943090185, 508211884, 167713353, 313713969, 283753266, 583841413, 406023418, 349817947, 207495040, 658270629, 447154838, 664281323, 536161455, 802694505, 785100287, 877142491, 735671758, 81141095, 318101189, 286747824, 322360792, 856616956, 523053496, 810371777, 570868729, 260744999, 374067624, 261152444, 316000407, 148960715, 705829965, 777199703, 427427282, 507984524, 522557366, 724887494, 407368112, 221457477, 806605871, 498800, 516860436, 205542805, 692814836, 810744140, 501441005, 401747357, 407949656, 591221566, 988171225, 54683455, 213602235, 420825020, 299673322, 639116724, 837166891, 29050374, 346970884, 912052244, 889721176, 554432358, 295829116, 259629941, 484382938, 608841527, 291147502, 225078302, 128416854, 924312472, 136952909, 663501488, 14385674, 171291340, 410115603, 239367818, 728664271, 225717247, 565770640, 86585542, 920553810, 352642761, 778959415, 636689111, 23465408, 705010825, 851526461, 550011577, 425818051, 37348765, 825483750, 647063284, 570934033, 604802294, 254938480, 657569754, 334657324, 213393460, 420461729, 33109290, 446335356, 741952748, 233032795, 586306174, 602333181, 741645410, 853953394, 224925232, 115882375, 252845491, 301077282, 187981426, 965583985, 247580297, 823200903, 909428087, 716577179, 633601763, 260876384, 564104053, 807040416, 188264882, 348781643, 803627117, 244990517, 273321004, 725318980, 615572396, 39498160, 730345484, 474315701, 867292753, 341814138, 832457604, 905754692, 231160048, 527208888, 117569761, 964143168, 531537027, 582660598, 634893196, 106488951, 848945447, 789358397, 800635778, 316180842, 477810384, 632105569, 30767581, 596253512, 638851157, 589026750, 626685040, 738476120, 635861273, 314656399, 614330164, 811731929, 715547184, 368494553, 562760133, 41816112, 626983763, 8194842, 757300378, 345687938, 95444761, 8971971, 330310294, 138356915, 844992711, 780811685, 863554316, 662350015, 981756217, 661955497, 512497854, 703673882, 280326017, 676478408, 778118767, 682607620, 794645990, 600398395, 318483546, 999860774, 42112281, 681169701, 389190111, 374479304, 165091218, 179654935, 192204407, 339942717, 514737876, 326465186, 118346620, 512710300, 445580637, 725811356, 377304039, 461932548, 180361052, 807554668, 913720589, 265417647, 848193485, 185943915, 64297811, 950493455, 787253268, 559585671, 341877152, 175927661, 334495796, 373652749, 617406918, 448976728, 791885299, 938738451, 51290715, 295362657, 511179269, 22809087, 670991333, 557855457, 803925120, 765720056, 639287938, 890492928, 640082325, 299594856, 832731543, 388835206, 380333394, 443300955, 272268885, 571256894, 487628466, 691066275, 210610707, 129572369, 869299345, 333074003, 331818166, 133897841, 364810809, 120629508, 640044402, 833482484, 145188128, 250615525, 521098445, 849284211, 679111535, 61138583, 462515827, 107309927, 147410124, 85890289, 318398374, 789104268, 131232588, 471014219, 604098990, 380347796, 783104114, 666053013, 871355714, 669707933, 684729362, 678982684, 905014723, 659892980, 29714059, 607467859, 54953648, 652402137, 349656086, 762828329, 175260487, 105234683, 339450770, 434469144, 71220204, 237299375, 23552303, 427174750, 193912752, 554412405, 403006898, 477540341, 324568645, 947199258, 944542423, 155212816, 788435576, 168303546, 605365603, 176348476, 907402882, 628923361, 954471946, 183235945, 412809346, 500977065, 395080997, 250472386, 804674550, 962748593, 515585346, 823543276, 146569904, 351409950, 472993284, 245757274, 880989445, 295414688, 873027126, 427140652, 991087376, 824675374, 650833659, 470600721, 284006109, 482634399, 445175628, 382763213, 59341009, 959366803, 115887586, 841149632, 801656037, 159396796, 870721109, 894684640, 870024808, 142151601, 976463540, 176548338, 514887022, 96806638, 399521456, 574615459, 639210481, 504723047, 796723492, 619572303, 116826919, 94579235, 116884583, 153919823, 135279771, 415762314, 817908996, 88828940, 191636900, 426281509, 226750315, 334043423, 326769652, 44865237, 857833884, 735101782, 794433634, 948588810, 936509079, 289768996, 453085666, 261597372, 488613416, 67758472, 639039031, 629940762, 900155892, 893599286, 807496848, 141035785, 782778812, 789147084, 820212575, 296645420, 79656364, 777498863, 118524662, 483148699, 723963625, 363829322, 912224501, 239986110, 887182951, 484684429, 138960745, 957646373, 290538004, 440171708, 388706232, 865681130, 729209873, 358156379, 927855997, 340320821, 269180127, 938533825, 84374690, 416394385, 555657978, 625197583, 983818431, 188416557, 261403282, 184150521, 442824203, 803456288, 547608601, 427387712, 275010112, 852538940, 323086781, 58981626, 386846320, 11278913, 89563679, 798411655, 402992873, 280588808, 116911295, 288761403, 995082758, 657556732, 485901727, 186883106, 701672336, 924718199, 609923523, 606301499, 520262188, 270989733, 480436847, 967682899, 330861062, 636803866, 991775943, 171307032, 166368071, 661030266, 512017247, 348145212, 138347781, 631368715, 789559899, 990751422, 494237128, 281065249, 7615764, 730338844, 519430596, 330110857, 35750085, 717076012, 107969491, 893002651, 971619526, 789969963, 919237823, 562307279, 281653231, 611899944, 325082975, 744507435, 50639652, 837082800, 93860132, 596145564, 438928275, 490370869, 885224095, 405179414, 123088757, 874938906, 969959067, 92166159, 699889154, 574961841, 983541352, 318441931, 529270311, 897074337, 571661292, 503894312, 237235732, 538368140, 181015687, 437216500, 388270648, 744903113, 652092497, 489021893, 789428177, 11518842, 140106741, 95994479, 645610049, 819553615, 206045389, 862032829, 49074325, 259461578, 65665383, 242709385, 818714001, 679539021, 742793720, 212362627, 322831866, 680828884, 897051368, 202707437, 602448191, 915181075, 638850499, 733525873, 48090948, 278357652, 108805153, 406270851, 482391470, 716730070, 751798375, 693582832, 338346987, 662641100, 90181056, 796463148, 15491621, 947727855, 401391797, 703770580, 188089902, 647585978, 736346528, 776731387, 900945780, 246799618, 392502427, 933419884, 262804187, 671946866, 64651740, 947082337, 263490444, 923914842, 575594277, 102174694, 802031105, 347492214, 853801553, 734552898, 114742428, 396374789, 744018915, 543683737, 137586380, 690225962, 96190117, 335851693, 239260890, 716578077, 979368567, 483539787, 803765079, 951093732, 295734572, 344632408, 674771583, 847826720, 107087323, 526444498, 212290010, 768165140, 585750021, 615909696, 703634135, 278155126, 721767600, 324525799, 635109063, 974568025, 229185519, 872348228, 846998436, 827400780, 329258480, 291177182, 607572311, 905841432, 389209918, 903761194, 216657559, 126103709, 436082951, 455131256, 20030753, 757727071, 784894297, 914929410, 174649086, 967855563, 50378868, 764852662, 124185849, 700620842, 454655766, 374270105, 711527338, 724012851, 245742454, 952575170, 356505130, 39749591, 154138480, 199024850, 783659183, 860259405, 714117923, 409183039, 585029155, 409237250, 779488707, 349294158, 246047000, 922645648, 174005549, 442272778, 449382032, 44422906, 861828586, 518370627, 646906342, 466552068, 313564982, 230468785, 491703384, 118907906, 342975989, 403044520, 986150796, 473960987, 988596066, 483056144, 899206886, 976220354, 393727457, 738631586, 35370017, 209638120, 663916348, 435648236, 359787862, 386042271, 838972743, 480436658, 717486816, 337560499, 856561019, 189009309, 691866877, 589908424, 690855758, 677043855, 52236294, 436942311, 138668715, 903881266, 644729156, 570880819, 851641829, 119130578, 158647249, 265067536, 319133278, 602881591, 575044966, 362670778, 701496650, 778913612, 800258318, 780771623, 871265949, 797052451, 307124640, 111567894, 510433264, 978617952, 438011365, 667369847, 258875161, 619057842, 403681504, 15036410, 522672305, 586707149, 327105814, 322191246, 200907823, 223097583, 998000572, 214975558, 189730824, 54242317, 151713854, 37541955, 772262903, 206820408, 70239638, 175495493, 804903289, 452176825, 485702295, 408031754, 369444439, 605991969, 768275146, 432871122, 593203761, 260875095, 535117890, 432772473, 468604422, 321045308, 284761307, 573821579, 981280943, 105413446, 724969841, 837388010, 563594099, 313714916, 875058114, 853900500, 314941784, 712833989, 682891818, 448259289, 849915877, 603256707, 336711246, 213445115, 662233881, 956868626, 312091558, 661954037, 307145295, 910499556, 357539613, 952564625, 301223959, 235023799, 809616831, 835059706, 541107604, 899684843, 159481304, 350845391, 183445280, 625343229, 897354688, 607674750, 980072154, 758873997, 720258613, 364512220, 352867464, 557207255, 68690418, 34746833, 208075392, 32104559, 340166799, 987626891, 882490464, 465427317, 561139561, 212020148, 934778728, 688780560, 162230586, 11971330, 204207346, 419325044, 460525608, 793243678, 127202430, 613961849, 606760899, 10541522, 677618950, 322500030, 224060262, 143124351, 762240382, 938467224, 581692656, 609097427, 886957669, 247419971, 229756663, 142209943, 934782713, 471522904, 859496502, 614574162, 843776901, 205266383, 398047214, 57288355, 532825942, 200137623, 470495078, 144524624, 170326815, 376015095, 533863867, 759673549, 998699328, 741941265, 516667024, 169375742, 961912723, 361564545, 810905419, 262778980, 818617122, 866746048, 350055198, 79455569, 205261501, 30507996, 600873300, 848653527, 769764347, 939986158, 977138688, 444563569, 661968506, 655885411, 98834877, 74018776, 68329601, 589462281, 100905093, 484075444, 932004257, 817855771, 443758370, 378798110, 286922747, 76274185, 10150141, 52709425, 353614094, 128742904, 158588337, 918401916, 609906979, 700645434, 941063004, 456281942, 352931440, 675107287, 778533508, 980313993, 603828476, 301556626, 52393242, 663081592, 572038496, 283174646, 202529124, 610274558, 666975754, 437269726, 932548569, 457470285, 768680411, 429334727, 543159409, 945879960, 694322962, 267777562, 337683334, 211323421, 524454134, 561237792, 548634924, 636213244, 336610837, 863838724, 505352823, 737092209, 308173744, 26816973, 892715213, 532592258, 770782103, 18622928, 806730039, 999589530, 696950731, 561519435, 749233635, 697751756, 793045245, 10530105, 213733422, 462718188, 203533897, 168461356, 56592899, 616317937, 571128460, 308712040, 364767615, 212558881, 147632306, 663275009, 10242970, 541348990, 116874199, 90471944, 627029576, 898907920, 531683895, 320836897, 847778265, 706685937, 358451669, 949264036, 106725023, 259243854, 440584444, 931306379, 409688476, 444747466, 169693624, 159824607, 151902134, 788435556, 621969997, 20034060, 359296648, 131477712, 23510418, 71349329, 423224598, 617575737, 769855159, 570396128, 638022111, 856095407, 338747191, 714293692, 783942519, 791649905, 896330191, 82598064, 323332464, 248076316, 537864339, 785484393, 185044856, 694587856, 220663768, 156993559, 803809791, 163713227, 78241483, 63459609, 852219716, 372348943, 153910385, 76181153, 18611722, 143752075, 797446352, 442717264, 429358222, 728905465, 655732300, 548559980, 890089888, 712937001, 547964127, 971802371, 589593282, 135410616, 414798473, 976976197, 246922560, 323642778, 112485706, 763674751, 214845162, 675731454, 661514323, 182964562, 859229256, 450660940, 243014003, 128099180, 420019047, 856121028, 404993399, 597692910, 762714258, 395485188, 376083143, 476028465, 979701564, 242754010, 41257038, 161340683, 256142972, 787489415, 367095526, 688020922, 337285489, 924587111, 502487129, 705919011, 434231190, 558754565, 62291718, 189199207, 340204150, 246259252, 531298199, 758049085, 231467839, 957339598, 748888965, 281708, 160379157, 456038638, 747327265, 427242777, 667172234, 715804440, 590029615, 188759074, 470590126, 461241144, 715405580, 692451459, 108256736, 86231335, 645124093, 770589730, 193075035, 693120435, 513004794, 868633932, 523097784, 162059453, 645357818, 818568614, 770066142, 140053890, 74348168, 866794075, 985620547, 529420181, 551581940, 258448379, 925264682, 37512218, 836344874, 492169271, 711412412, 341338229, 57369969, 562117697, 252689440, 555765588, 941919391, 545248167, 750896944, 497525939, 979434766, 34349308, 702125976, 431644789, 7534854, 279318784, 979533144, 242467133, 481612524, 766440538, 391476320, 225025370, 315918345, 780686365, 871771434, 666013411, 774543693, 191355517, 142234436, 951831670, 151530222, 352637166, 250844024, 967281828, 937359112, 334547754, 572096656, 839414090, 383703465, 590005873, 374754170, 330641551, 857122207, 294256817, 916719887, 382879295, 72598427, 32699200, 660056894, 728326288, 477209003, 873286887, 566960855, 243491282, 8787124, 460818212, 27345843, 983620271, 934028160, 104775365, 646849451, 769927682, 745545742, 856821237, 866330868, 446247615, 725538542, 405603064, 31232245, 150584408, 125357611, 465929638, 679513592, 604678829, 177306990, 564964163, 742374941, 69532808, 760634506, 101180948, 731010851, 280811032, 508861716, 398751391, 734919634, 218992181, 74238762, 786789689, 986910309, 41684574, 388791481, 928682614, 943817798, 395708186, 744931239, 451238942, 704283278, 328983643, 417098197, 300767095, 318176186, 993185216, 798822361, 887890169, 160392928, 989790632, 960382009, 311767421, 643533816, 764395459, 471139047, 374925480, 69200572, 497588713, 355469423, 111454915, 976381007, 835642213, 573759419, 903537791, 295911053, 216639958, 170374734, 755872914, 499500598, 109732792, 140779883, 658225161, 557510067, 634950527, 337146289, 21663321, 61548589, 17324940, 498680761, 400656237, 934586170, 632432153, 101496090, 397722235, 222029780, 471138321, 235809453, 7750640, 288424380, 229913019, 971234797, 437201747, 657168457, 557876862, 574282910, 349258255, 923755638, 439911445, 73089678, 139894962, 956953073, 692262289, 671080128, 351030678, 172789877, 958217376, 606565252, 387497466, 516609532, 332382153, 472653680, 856904874, 118370612, 527373378, 54449274, 82145388, 522236790, 413478456, 822588007, 428622596, 579107894, 235944912, 107316345, 292786660, 44302588, 895345529, 599649088, 673335957, 782494371, 526554597, 533156686, 627478078, 474769492, 772508830, 280580678, 68355712, 683801907, 180479012, 703392650, 37778140, 223314981, 664241539, 154865145, 953664582, 674212168, 910311027, 17782610, 518044648, 657771781, 594388300, 56746861, 725818611, 861851453, 674155634, 618613956, 583570024, 943720556, 980778381, 666474265, 552481453, 640310826, 713260841, 941292631, 901798245, 200287261, 809947964, 268406650, 539594846, 949547469, 528741271, 153345135, 279413164, 609880628, 986037675, 379125257, 503342114, 57687379, 626056123, 276024130, 978431993, 198888593, 933116522, 403494470, 6928119, 885536173, 821580891, 974375702, 261090512, 755816186, 618690194, 67219275, 393322988, 881518238, 752071913, 283520128, 652155102, 674434609, 484551103, 624832366, 752868357, 512097841, 379244051, 445132024, 974460660, 363028579, 6874969, 250953489, 705997960, 48991132, 476638206, 843845249, 465596430, 194105032, 656575431, 654881973, 900563095, 80279676, 381439151, 609359732, 891709823, 715516057, 228216541, 847694029, 821315035, 360541477, 363845282, 987023658, 505837585, 209209190, 236444598, 953035814, 315490609, 980838820, 228307374, 644561617, 196270943, 9254941, 532817167, 273924567, 884155247, 601202434, 308150367, 834668736, 876534523, 838149513, 606322725, 227778444, 167683437, 191517783, 145435289, 274083749, 535703768, 812367731, 431891234, 698781132, 661511992, 351932088, 974009259, 633830826, 165957337, 418280078, 997414259, 368480267, 637227862, 233543771, 491635629, 693015505, 929079886, 448451892, 793729464, 184535925, 40599160, 553583001, 239196061, 324110871, 675155179, 220440163, 128438268, 277863447, 944990152, 178693379, 978682455, 166763445, 534196012, 151311001, 306723006, 128460992, 39237382, 175347244, 376413562, 419148593, 821441359, 316366575, 656785837, 186487943, 931889246, 682323257, 635603200, 262023278, 980330556, 950479837, 195045250, 112688703, 12679190, 34059048, 893639030, 614920146, 172557405, 246644828, 81480109, 282908560, 129594521, 224203557, 332528784, 170238950, 968822602, 639962940, 305505806, 778672338, 159776724, 433032717, 402623453, 688048747, 519673379, 791614817, 833738802, 723908027, 634816206, 91868556, 494758300, 861615915, 588071767, 712717132, 441384025, 664269990, 584962110, 420589044, 429778924, 856583103, 857212530, 104379549, 323036744, 993895849, 341234903, 295557155, 160542746, 766670956, 775739221, 519900558, 25881699, 108879159, 41485711, 305758089, 232072624, 491383580, 659564379, 789176775, 864796159, 318293600, 733285122, 885263820, 874955210, 413929246, 705871216, 249463673, 564356735, 986557035, 341969050, 613810143, 291446674, 566502473, 598395702, 898031857, 505579680, 361012711, 647508560, 247417847, 401831307, 148704542, 385352661, 147977102, 777942575, 411629724, 905271507, 397094785, 969600445, 45755440, 254915025, 410220775, 93483053, 684824053, 894518190, 621707319, 268542349, 551227172, 531265861, 894619580, 423728630, 54193442, 893011623, 325406729, 516927609, 573046494, 867793214, 75405460, 693236639, 959445383, 154383084, 95273405, 401999555, 725242222, 141017084, 286914405, 438528218, 70293461, 195065644, 333990115, 407783656, 783446028, 2718859, 615529927, 961938888, 608764422, 431641245, 772297762, 644113138, 32940002, 236793275, 931468514, 574942940, 493347008, 313995593, 841597018, 472273311, 636264222, 94800549, 356146909, 806666173, 465366862, 136687333, 509478966, 393778975, 57087691, 217478205, 856652678, 928623875, 522910316, 675064571, 905980428, 955432379, 963700290, 192010413, 138414571, 751295162, 627267739, 562919220, 505173893, 694985004, 452463796, 595893908, 316611872, 238485372, 88548817, 448382113, 765603069, 505940461, 689720889, 45735490, 653727364, 478330070, 169123248, 935841814, 924247522, 434163582, 27562616, 138793333, 542552482, 970788689, 370873414, 133978434, 770491668, 650286552, 501963448, 913588062, 866512185, 120255658, 936933347, 575710004, 742762026, 353305672, 810887194, 628365981, 648458010, 976809617, 494013201, 458032947, 149462249, 316609080, 192545031, 81156001, 462179430, 77629050, 990200624, 482445380, 633414481, 30919382, 198373081, 826670428, 78780518, 500799070, 244731095, 731851006, 714799389, 478090528, 683395212, 220561791, 57677640, 581684318, 24592425, 807224603, 253923794, 6648737, 641815160, 946515629, 601189007, 295429589, 724166194, 103904872, 895479827, 459849278, 181590841, 597362604, 213238411, 426348150, 497527986, 900475387, 254685085, 371576512, 526145244, 983503716, 662183889, 761137791, 472761606, 150872941, 588067951, 627816084, 34039018, 230224992, 802999123, 149621444, 560788397, 742565733, 303163718, 744034431, 464943601, 254249756, 553700034, 722290998, 356024927, 825862682, 394803470, 124235317, 126375142, 458281212, 167836352, 682499975, 680669224, 651982925, 15846862, 38973407, 379090352, 164858392, 343924897, 947097498, 690986656, 429871319, 207274775, 638018159, 275472469, 665721478, 81313317, 964954965, 5652119, 57835003, 455987719, 405609314, 10652910, 129502143, 656292835, 292339942, 807802627, 661911371, 182866301, 9614639, 35291383, 34143555, 236889110, 112488112, 390946784, 919510703, 526791905, 596423793, 777427963, 525126199, 685293182, 621550648, 588240691, 73290389, 397584867, 30306696, 84789863, 399633369, 569638017, 961457575, 134153532, 794522547, 430686756, 961658782, 8314073, 146805770, 473978514, 130841861, 595136075, 517019641, 174534059, 774452736, 460972639, 330680974, 471300943, 242130090, 501049571, 383907314, 18244414, 925917097, 3499151, 184166853, 991353060, 477466196, 61732065, 654069549, 861391821, 169048962, 158945643, 905870925, 434183747, 566267316, 310778060, 768418109, 260314359, 873192777, 370778554, 883214671, 842218534, 698444901, 794451012, 252503505, 354587135, 49969439, 118413335, 491312063, 285801589, 151179962, 880912908, 467120575, 380898564, 35781682, 46226363, 107864371, 674688589, 218777394, 332618017, 417727475, 62360458, 805487739, 903000237, 406822638, 8444485, 317444833, 570144854, 201277147, 252818364, 265594487, 928712547, 753765319, 44913413, 398548478, 449330892, 994246, 218534696, 473764093, 391775216, 737505453, 932344134, 577715135, 683129262, 551421305, 274722668, 832058276, 546335462, 340031771, 504443909, 45603197, 66319610, 952448177, 278348156, 478690854, 64301139, 100265770, 619103327, 138592617, 699861147, 601941794, 530133207, 652322072, 381043150, 142886516, 772277414, 69469121, 867496664, 973485975, 841921732, 774037486, 813260857, 574275896, 950229980, 2429869, 187137962, 917087000, 14413231, 675373787, 419441974, 607437476, 203539393, 930967964, 870820072, 403849167, 930483985, 590949548, 240192998, 686820273, 312838503, 818449881, 232260230, 358981851, 918851287, 15818095, 176690302, 10054499, 608789773, 705916783, 929215594, 63324756, 660465474, 357764737, 79972289, 945229909, 741139638, 506401654, 581578948, 323479599, 434310178, 708657990, 433584891, 996512177, 547245284, 543965365, 509077262, 337770930, 441787141, 949307032, 100007861, 417326601, 287323006, 308480604, 855960009, 889511173, 920221349, 959703408, 453225351, 69551540, 871859359, 184595549, 594760432, 877916111, 936240980, 749509577, 602518914, 99513824, 211537733, 503743879, 914846533, 55307954, 550399533, 272385891, 480041265, 75919434, 220065607, 889405185, 873760112, 961939743, 627407044, 7637873, 990829265, 189548478, 857273633, 412403858, 319408915, 115397293, 470525240, 438044769, 388161925, 81221404, 343272193, 168773078, 414451980, 927169641, 840432092, 60200394, 287938449, 795715272, 103322605, 342531602, 429124392, 804413389, 850634660, 11194999, 520448403, 943934586, 732085757, 936418042, 320333736, 689445464, 346809456, 756848603, 61557733, 136623175, 748145390, 546592825, 41839616, 811967140, 625398456, 265614930, 828807344, 780796487, 58990671, 216059173, 805632215, 36971330, 865153510, 466344612, 625371751, 155703511, 403433621, 867609387, 133270048, 957249520, 557258079, 722048102, 103390112, 285914716, 688695462, 14889747, 21825532, 848465385, 847284451, 689945476, 609440999, 505304158, 385561927, 472701890, 731590588, 524632271, 957033094, 735397318, 431386154, 38741870, 607232941, 732662979, 405839283, 870043538, 593022820, 531163555, 390074488, 590443214, 427400915, 468155080, 98198300, 459539122, 728999819, 741603743, 849546455, 242371107, 473193379, 274476848, 832302239, 280073036, 62152143, 839448346, 141824282, 623238828, 742242125, 185531734, 483202674, 878019727, 16752256, 963041291, 492202018, 384359103, 577813656, 293771873, 377164994, 275864029, 591155379, 532202419, 60521339, 982902983, 271593107, 353499620, 488996538, 536796034, 597486273, 938422163, 979072282, 696256158, 774146843, 508747583, 349838551, 539626011, 909820265, 540231806, 268467466, 426775704, 360011330, 217643095, 785266779, 656046786, 146912279, 642111574, 126309692, 63464792, 804443804, 722000858, 284256700, 214862883, 514106659, 689616573, 953826865, 298043131, 374698265, 547862100, 438351110, 501557323, 6129727, 126773850, 14072773, 655938717, 710586504, 133854259, 86941392, 56745710, 241845514, 184145766, 782259519, 347597373, 636764334, 16609372, 743841760, 548120262, 49431529, 898793315, 799298252, 479355751, 825194621, 310899884, 331611391, 566646319, 807883733, 517129940, 515938140, 733831381, 256386165, 736995747, 686120613, 966306429, 582998755, 55934710, 521003609, 267320874, 967655392, 525803263, 640505915, 982330372, 296839831, 876544264, 744601599, 710686106, 805012920, 555330192, 990241991, 876252153, 552172492, 530064934, 140030733, 965787233, 246518895, 710998686, 115434236, 613596595, 314812599, 109094555, 172652523, 736723794, 310728266, 703590408, 207549285, 310888248, 411690089, 517121388, 251549134, 689441821, 439706738, 460609898, 179746000, 939234441, 218749407, 343138620, 282104146, 603663822, 576233223, 42800157, 896132805, 754703490, 458469521, 490350175, 286781349, 873432803, 675516680, 45617457, 773821869, 860722992, 384068175, 116877532, 875767891, 330728248, 521761184, 747436269, 343445706, 331982156, 693539793, 423865207, 78546411, 727930859, 177170751, 59590166, 404000933, 942230814, 233526134, 240486942, 791300523, 52884721, 503581288, 987180327, 860614582, 101121765, 558620090, 564027921, 342865253, 201929667, 481213172, 822253060, 948216668, 414079308, 42449612, 49783742, 650272608, 637716619, 288975219, 400084104, 854553232, 758102546, 779793185, 560329893, 460365468, 510395043, 27537479, 934905343, 739246393, 54953035, 745765655, 225243724, 197815441, 585376039, 553208326, 542473993, 798701891, 200769929, 773024395, 394986224, 856262911, 417246375, 739176610, 930577819, 484504752, 306620225, 15621692, 541382508, 369083814, 692397, 501500906, 380744893, 87947670, 191344390, 4077235, 743865683, 664489456, 298719208, 938004182, 231367576, 647202152, 883331645, 529744469, 856625485, 125122127, 485921030, 423619858, 711984330, 552898347, 225710203, 998979190, 398243972, 681149413, 462697954, 831502859, 915299904, 346880581, 122978255, 626238894, 773600477, 939786137, 591806048, 915165803, 498763939, 114814837, 101947980, 441782771, 977571301, 488527168, 92606068, 81217753, 506771393, 149250969, 757114504, 921918855, 539167192, 688695788, 900210907, 942083600, 380940844, 668345257, 325013060, 105849145, 372188296, 733026061, 913919282, 192799489, 315631900, 185339978, 380221455, 265466568, 451759051, 364643351, 203591307, 394905865, 496498951, 387985854, 257370413, 757270258, 776916265, 464924170, 672253182, 685607618, 861189577, 454751282, 854187117, 436624941, 996597851, 780448920, 510926924, 921431998, 761878626, 736577108, 777911635, 583440432, 35943737, 652549544, 675561674, 626065631, 215709573, 109510431, 930799406, 215849034, 201379357, 513049615, 386030881, 589919353, 364274609, 324050709, 319168128, 874837522, 797863137, 359613078, 477473574, 4008190, 235856689, 38080743, 419105419, 717840501, 412476512, 218906034, 946200794, 126664968, 279532420, 10935145, 285625031, 247213061, 799426257, 440773759, 504444523, 393982016, 944057572, 901772685, 520558016, 457434162, 850273402, 693089251, 623308373, 691002275, 716673987, 763840263, 775950234, 75699646, 109693652, 413677083, 79329986, 990633290, 623156852, 184835268, 328127669, 345549715, 996113406, 320617475, 83944293, 866874687, 690432371, 336212778, 108712148, 882212362, 544256218, 25944592, 604741511, 176997982, 249781612, 619260866, 911634710, 429403664, 829192628, 207393763, 828713249, 264300551, 677347448, 36105324, 819603495, 167808657, 222084465, 887409209, 301666820, 472668016, 299918680, 678228690, 553278684, 347505782, 614453871, 609444444, 504086630, 146767029, 350623220, 842310530, 295471744, 61966062, 995828364, 404471237, 171706462, 871832720, 749340886, 810447015, 165391194, 31484329, 562211656, 871400322, 629543470, 15618314, 932800824, 20998827, 913338310, 538031792, 494221503, 538754386, 117892948, 108804231, 260503398, 796904156, 236996635, 259327804, 865257547, 430505754, 743314894, 49580071, 55203105, 748854594, 14530801, 555210778, 481999594, 627159452, 716652777, 510171631, 754202806, 67823423, 798780979, 741963456, 182136443, 451000972, 849575084, 636185519, 918749173, 518909674, 744236732, 719808085, 325828790, 997946625, 812331768, 574159737, 816731726, 119665845, 92143569, 411319501, 815001129, 707427224, 557669191, 719254203, 589101653, 58670420, 891480517, 429272299, 98290621, 70996104, 544756970, 114046580, 204682070, 368495530, 865154696, 724421540, 383615286, 156479286, 763327095, 934443394, 315972798, 259680518, 607890589, 905498598, 678432401, 222325312, 491137753, 347553486, 261960740, 83440771, 826038604, 625939262, 843495031, 456551997, 665399128, 348048258, 637146193, 375648054, 992241725, 624690957, 192455667, 226991159, 112336004, 102415435, 94766586, 357316942, 958508289, 109431600, 378686952, 223110976, 365387093, 61790558, 4305345, 310479177, 620222449, 273974713, 492539519, 421552689, 634064587, 428545232, 36759194, 688008460, 650818686, 605205452, 907320328, 40731160, 835361205, 971397789, 803554846, 968668888, 268427766, 832442624, 262546396, 60385062, 874408589, 253428235, 824310062, 637937891, 751278161, 537610047, 773123986, 777663096, 235932097, 191042306, 60387045, 959395889, 335934931, 545651919, 631973753, 64328894, 151924662, 902841180, 518629371, 106372226, 607400728, 417862232, 484763043, 48382581, 7238106, 873986446, 496492409, 838480870, 327608294, 598002963, 732081293, 848459801, 52710376, 191494163, 10034804, 944895442, 694093035, 520439146, 341400096, 444016344, 40333641, 864475497, 478982999, 877753800, 211130860, 386075565, 532641885, 746410110, 26511846, 439800408, 676618816, 186060085, 738260876, 673950048, 631110822, 143242456, 853210207, 333146392, 177698261, 225875153, 872990838, 108186180, 603743634, 580998998, 676431138, 975801615, 559819598, 465184647, 425797421, 469370768, 571353559, 436037778, 458740016, 472613564, 578039894, 278203449, 92384578, 939028913, 2610393, 4685679, 553893037, 110810620, 442359464, 507257727, 433197926, 870915119, 354035288, 240640403, 964431858, 68764901, 878372096, 564141506, 839282659, 781044717, 651138230, 174714550, 657829470, 707127707, 327118806, 290654483, 987421374, 469931230, 210978542, 970343452, 618517645, 625746015, 506944666, 733026174, 410555968, 330093717, 125541689, 170430635, 451184975, 315657565, 347749123, 291113714, 219714648, 701350571, 694094538, 245040473, 311765590, 193670467, 41349642, 544700076, 864321874, 406380460, 29093898, 768000128, 867175163, 164161404, 82579138, 129798057, 173496475, 499968, 305823159, 298906017, 548712060, 808205467, 540187711, 243405053, 484846261, 780457000, 316392083, 144063002, 513202899, 820339603, 886763602, 780455108, 31570907, 309037081, 297912821, 205200811, 483836632, 141187810, 563180374, 226082717, 616268183, 266623128, 71716190, 56218417, 462688011, 278562666, 254508093, 12907112, 484587893, 343510996, 77818150, 781459062, 247887727, 963792585, 570210730, 330814795, 137635205, 335435199, 609717095, 516267557, 954613012, 18640835, 899463031, 5381238, 203119750, 775592130, 169488739, 212373519, 879232312, 474425822, 648987251, 144136652, 715548053, 627105628, 359154330, 923911573, 457234803, 660105343, 380760875, 64943931, 680729019, 373005026, 756841016, 604040149, 513434184, 399048364, 412131708, 526512018, 737764716, 437549843, 124651879, 146339268, 629990338, 88174945, 636285431, 612383982, 636818299, 61442849, 135261181, 824410190, 670066409, 547052861, 225501824, 465557955, 913516493, 706347186, 451747018, 629495110, 293143200, 362072734, 514092985, 331306986, 879007223, 398825355, 31280976, 364029104, 466972992, 225573984, 683684129, 295127707, 692487117, 354498439, 300385785, 183467775, 695375073, 175391772, 462259009, 370561361, 432845065, 428155631, 377203975, 29199072, 302569894, 153495087, 737490044, 212686665, 913118944, 734649581, 749029946, 522379753, 885725981, 292515587, 811209122, 709282792, 452520489, 537071427, 530717233, 663290400, 452339825, 739878071, 293684009, 413203968, 980234894, 840218977, 847896624, 759571188, 592739820, 704988836, 471315132, 724100691, 139785401, 780068022, 797409837, 274482270, 197083337, 736719892, 288913058, 702436445, 897611858, 78530999, 212968490, 955044941, 761912531, 175000405, 150933446, 194757998, 617127022, 445598301, 975755247, 314214018, 664159586, 788275013, 838097427, 786750770, 570554307, 28431834, 291248139, 967021, 838120797, 376691541, 917162576, 369592343, 139847660, 748220124, 740354800, 721264546, 560067999, 672147147, 515952403, 387159939, 386230554, 998883730, 402477236, 609388772, 229545479, 638399609, 961063483, 941202497, 425049714, 65636938, 549139890, 536488189, 47581705, 748415721, 787541121, 748973777, 657351309, 612151374, 895070220, 952641990, 345503879, 870560007, 517880366, 551503116, 637567067, 662041833, 551875100, 744607830, 518523952, 686118059, 292517752, 461033110, 243801198, 184177760, 917381610, 508594634, 622815777, 200517875, 307967170, 293682463, 442524763, 658391749, 358778425, 84651907, 792276831, 397953175, 998601867, 357636412, 979967701, 506546606, 864539464, 214334619, 233357200, 234772717, 717277520, 193598121, 329751059, 96036989, 904047526, 261761569, 60421522, 813719462, 684679691, 742738791, 854976801, 880666899, 131626387, 752310513, 722703350, 211832185, 15785901, 345922588, 444606484, 657688263, 85574049, 766389887, 783986778, 85179165, 620858762, 324410091, 761454578, 284860430, 995203058, 139583991, 952564753, 936725044, 377390086, 227931860, 96502543, 620979746, 770202432, 591384898, 89307983, 623223432, 542011215, 103097426, 157565491, 737500924, 178629117, 926298481, 319923850, 229653554, 585947167, 280693975, 224360660, 984173369, 50937479, 504251750, 315233352, 577829310, 805372831, 741266914, 661554790, 239112590, 54537709, 850444762, 384061259, 223182865, 508291491, 789188968, 699965037, 283772547, 420626274, 140946215, 525394009, 535204655, 525736822, 568361031, 814574304, 648909831, 269389260, 321966068, 9472952, 641215355, 545712360, 39457190, 115738225, 498459872, 562607671, 512809458, 48698146, 951465845, 365831359, 982160987, 187566830, 58410623, 574149634, 140231968, 838453375, 882789140, 846391837, 314156340, 379893743, 471382384, 210024446, 649553122, 330794535, 956122932, 636572538, 38569331, 358732948, 992451061, 707534191, 492974669, 625981163, 678419963, 736737933, 866586096, 526565619, 423774982, 117259611, 997575977, 736278719, 949451336, 746051048, 829994523, 18506121, 612394437, 471002382, 107848717, 954553124, 507536560, 453546252, 333518583, 32661411, 663225706, 749321607, 179334377, 179160560, 631013870, 559759066, 684212958, 642835206, 461709819, 592255908, 285752133, 202932748, 905828149, 631507431, 4158795, 335426559, 42635911, 553891742, 497514549, 785963639, 244675652, 818581092, 395258477, 307720089, 326037131, 42338700, 896183243, 616788491, 895821559, 764525210, 995869956, 993446121, 565168035, 963369738, 425959158, 970864975, 671127793, 947098313, 807714391, 974854388, 396940136, 702534544, 32748840, 124784343, 823120796, 864352422, 637512592, 551938814, 13128439, 578394109, 839010744, 983871087, 773664886, 1550709, 841928390, 910335699, 466124260, 150406453, 955717001, 921487234, 813846183, 743577532, 141941943, 603805065, 80486056, 215132518, 812016259, 672931678, 70813492, 841941315, 392719040, 538522713, 3881057, 549140222, 139986275, 523921705, 581574162, 788073208, 576413306, 229030938, 588761220, 197713161, 767910132, 837735216, 893861676, 549487501, 702763806, 358248891, 609143780, 975300789, 210178585, 87162199, 202208269, 675093787, 514131697, 402875834, 710026571, 490914429, 831339899, 340355125, 730008929, 640251617, 356031243, 699848215, 485472865, 573381499, 98110951, 379412077, 115638441, 769127166, 765922120, 910908633, 101061257, 323515174, 389711123, 49242413, 575768851, 276245998, 942486583, 788078478, 46340893, 81571564, 501503208, 915315025, 937775741, 938899149, 79054886, 717539293, 734547381, 217437422, 977579716, 451286770, 127464693, 867708006, 372973865, 634391465, 715352992, 658666838, 179521342, 640294833, 750906312, 310899783, 540427794, 102698722, 850790133, 167745272, 825672054, 595596789, 372236915, 926750521, 848924191, 126748025, 952458664, 137585089, 401306460, 443587943, 447358777, 436104745, 577422922, 722806353, 378684339, 351851556, 383303700, 582352223, 641930375, 61630033, 219365875, 638604540, 236212292, 384590886, 955551269, 288082880, 188808217, 352384269, 812225720, 616859620, 458364680, 396235850, 701129792, 549239513, 846226569, 231484844, 557679211, 273452421, 837246911, 379188180, 329013427, 96829316, 230718796, 25948862, 9134047, 152952310, 243048751, 623655566, 321353120, 999870014, 87047716, 164508200, 272988433, 588328863, 492718644, 548770352, 326762970, 237264758, 236519748, 67949725, 457387111, 275728104, 637372539, 197202325, 429185166, 562794583, 980008803, 155016222, 293815421, 809852146, 3845547, 367428216, 634870224, 927901867, 466228224, 242480189, 720641003, 855724400, 546821104, 659675497, 646454278, 887594794, 601444395, 817367868, 480323440, 758422877, 333764985, 205270944, 441251510, 299477142, 253054788, 169562772, 612732292, 621638462, 383866295, 955188137, 768485969, 638187000, 775324004, 104185875, 671417977, 742683216, 536484586, 69394759, 624450231, 244698819, 37680127, 818110967, 442698165, 225597303, 61194339, 945102988, 204054666, 526280179, 336726725, 640828786, 351099568, 689899781, 503761316, 251976856, 103166071, 140954666, 107688329, 984039089, 851338740, 589034534, 628156587, 833586081, 838543932, 197365677, 453883250, 930196208, 318480696, 266359321, 110794534, 430246273, 906015050, 396988163, 541799060, 153537979, 609824192, 664071885, 816178952, 9279150, 350320948, 374626915, 565893743, 434904912, 334673425, 110734824, 468266583, 960854404, 681228509, 437417365, 419772637, 597398472, 69517602, 878936972, 892583931, 239171785, 197052267, 720550197, 677983155, 54711141, 138571903, 725223167, 812085287, 168602114, 154767525, 670868973, 74945734, 215085729, 174253080, 376143870, 29592049, 382740636, 928173946, 913427823, 378824356, 434736962, 14910100, 609162599, 954949855, 547613079, 672436860, 136735194, 592012357, 319434436, 936487938, 74758540, 655716703, 431079800, 25074647, 310807184, 600616085, 223497135, 384908221, 401620180, 250918782, 63763380, 412362426, 958512209, 941903727, 838408387, 32570081, 842444367, 258805329, 20382997, 335369157, 840337056, 788572685, 863125298, 934790333, 999168694, 68844124, 857008303, 857824860, 48797412, 568670590, 99486127, 17413746, 485817491, 890033118, 545530197, 712968237, 932247843, 157688188, 248563181, 347811279, 609386350, 438732276, 282030187, 124587605, 630470127, 453902209, 392714533, 910149686, 6635204, 861565695, 323455929, 69711607, 831789236, 992936820, 428995323, 656350347, 753717044, 28007109, 303447694, 296940302, 116798105, 173527802, 665186050, 258437651, 790910137, 991933796, 817228884, 636462771, 269991927, 746779027, 424110266, 34425389, 699890465, 332913508, 389426304, 620118516, 62315091, 768381800, 288480875, 422618667, 612204754, 566237086, 300690020, 576370635, 877795535, 86791427, 292844023, 848526189, 75375825, 137114126, 351103153, 844826490, 594780965, 21085488, 270008381, 817177773, 34530276, 873225548, 477813160, 834679627, 709130464, 613718879, 233642887, 260442059, 727278502, 245577337, 96967654, 262239625, 564810052, 754128515, 131757319, 703234080, 265491480, 959940221, 403699864, 433811200, 580250451, 289188711, 382783134, 91057065, 127900959, 663625752, 148567402, 919647835, 879442284, 286597822, 85395546, 225405721, 647582027, 169841590, 770892834, 102088978, 846374229, 491817505, 190250902, 175660702, 488798846, 422931688, 583436289, 554029681, 97356660, 390187478, 98179225, 142863020, 13692329, 677507862, 6435541, 42689595, 850413912, 800296380, 677180272, 807323114, 847103310, 448042816, 874206164, 123065255, 894559862, 73061306, 537075223, 572998584, 321882901, 454033297, 2052489, 331365434, 975478485, 63758720, 31031667, 293613910, 248275063, 434085693, 628505793, 135165651, 969801883, 195571695, 939121701, 211445163, 423218450, 15264023, 915528896, 796150655, 708608752, 169837642, 507526394, 513608222, 857176044, 51228990, 867923624, 815991917, 714572536, 740384167, 675390141, 37571474, 257702414, 626603897, 624242324, 143621020, 955879228, 320775505, 628196240, 985728023, 826954929, 834165336, 275251261, 367361683, 827494741, 497728372, 240903387, 118933400, 811283606, 339811870, 506013119, 525822938, 101199817, 829842907, 471531998, 689654450, 135505086, 459203836, 507527360, 245262234, 619443734, 245384529, 930173217, 515392401, 262027844, 171162755, 75533323, 479766044, 212603065, 255166034, 746513188, 69212527, 242677643, 477679830, 342929616, 18062275, 35492604, 778388300, 830730628, 774449364, 713134588, 897820265, 8948985, 861566664, 253177568, 938215750, 703042633, 442667937, 274179389, 538713735, 272751086, 26585804, 398185084, 766297598, 178308568, 948688720, 333402137, 167068773, 98069347, 902762806, 475475181, 813660334, 274242164, 910662500, 56274373, 517592720, 27143157, 682378421, 804577780, 822951821, 325320065, 44214267, 511680524, 273514209, 860547191, 392672688, 815549243, 281346877, 796917207, 44515563, 667798424, 141517582, 217114233, 624653411, 393783039, 551427481, 868499465, 827747595, 919295557, 248485522, 402935120, 386423196, 732099781, 494723488, 542395053, 382346261, 957036004, 93921264, 803780782, 407073092, 570603648, 614041971, 882819664, 679173544, 705281557, 122974294, 361707443, 497198841, 746820702, 430207482, 188573407, 578015223, 577887473, 754969378, 316478045, 624082389, 745171124, 820997863, 827183381, 791986936, 266139088, 788424202, 261569952, 644506021, 78681443, 632641948, 663539107, 49097432, 677446282, 684956117, 710109073, 209971784, 365997678, 613038703, 196809611, 67635391, 611368268, 173188865, 549119267, 419243951, 453298955, 566088049, 457950573, 785784890, 23929829, 621868223, 313331624, 484333931, 488794875, 557523, 279318780, 461519983, 548458715, 215896769, 927642951, 858670753, 746100237, 679494766, 486081103, 243089475, 436007176, 259772918, 20788162, 124103304, 26139658, 666391366, 407158639, 990766968, 206237329, 855734867, 449589140, 723971508, 56478377, 38681841, 779859288, 151377452, 864668216, 395657597, 838996110, 2498570, 353446622, 395967181, 192785250, 798048498, 905033611, 802855058, 61229527, 603262794, 639393186, 957748880, 620483904, 524755218, 137745062, 445962324, 146490423, 170449865, 433949431, 352463001, 645888222, 265433513, 772837145, 153324928, 778075313, 645516531, 828969776, 985932887, 438613359, 405691445, 23591592, 758031943, 523492251, 16843642, 119331958, 940116572, 271014826, 781444956, 211221182, 392615259, 990898408, 855569320, 781972992, 179522095, 342927407, 993019132, 282170151, 756161708, 133221633, 721905697, 531956518, 239677572, 840470937, 579668806, 989870252, 302544437, 510079230, 883693527, 230771716, 353325845, 96899219, 577736068, 459871823, 39938136, 850180423, 334443444, 781890400, 810456120, 58485325, 403949393, 335084656, 553960667, 756067717, 801062389, 6325920, 921402263, 371242765, 609483512, 57425236, 878245101, 133081987, 588492371, 220043624, 185381741, 572540816, 353471780, 107612092, 15899773, 591210541, 993989607, 625592778, 728839444, 24317184, 417050473, 975003690, 591518999, 713349484, 734289208, 760701102, 420615743, 326264486, 308361262, 520175117, 473748443, 239851444, 267520828, 166370643, 278885937, 99260731, 286348557, 445135301, 367695840, 35572444, 464551993, 641359784, 844431371, 909587725, 162227517, 819712977, 221461406, 848111182, 252333717, 140384756, 725683241, 521126167, 798430780, 507065928, 819123015, 280467795, 893435654, 288136895, 254701349, 457136386, 535973874, 469162005, 647317607, 120318, 475638011, 365296730, 187864589, 709770139, 593739849, 917354549, 305425277, 348475187, 261870110, 534741536, 167050534, 359625826, 521400141, 896785440, 727620794, 613860888, 930168958, 227981000, 579631744, 408752319, 269864989, 107499628, 565917349, 332842906, 872942650, 57582624, 384034541, 639924105, 823513916, 531325887, 189762584, 202489661, 41485507, 46716642, 18329321, 733253589, 179470869, 253563091, 818413245, 136755010, 646398211, 157935129, 253602525, 407851607, 179661587, 415575779, 786134497, 475110334, 129024868, 896745876, 384589045, 574883891, 306719403, 510353001, 782034272, 957895795, 30032533, 697217275, 697608162, 892483064, 322865562, 578747016, 804871161, 824567306, 130040221, 575974207, 653877023, 198288975, 434614393, 542060626, 417603512, 481310274, 108730820, 817706236, 918654519, 199492053, 36604479, 611359128, 973541436, 261834821, 706407406, 463024274, 285151783, 52671386, 434601391, 599431278, 642370981, 905462225, 501030873, 126784142, 811328805, 539429804, 395919086, 320692905, 978187901, 638509211, 549760786, 992809942, 26707693, 553585272, 698653735, 748574616, 787147519, 250715538, 446145511, 269068647, 307173253, 70320932, 515420086, 191857660, 114631613, 995040535, 917042061, 239320496, 312692840, 609484904, 586704151, 120449880, 214965447, 597551280, 750463378, 68988211, 666320692, 346152493, 46188014, 575532596, 81321208, 358027539, 702080166, 701582943, 479173461, 690191292, 478734064, 273039787, 350609092, 695827354, 81109302, 485531760, 923323743, 457215663, 428144995, 45018790, 103511005, 950295661, 662944396, 951292320, 117519939, 968461625, 313200839, 201997895, 161407402, 853193476, 878797758, 910890969, 354088176, 391996341, 256083851, 158128203, 867337311, 185525607, 570342523, 844665199, 953385255, 396875361, 183691626, 641479325, 600560125, 70703086, 166972501, 252244542, 223207846, 665076047, 337108704, 765438557, 660501323, 388256581, 537135786, 899131036, 11923692, 160691433, 38510666, 169758912, 882729739, 587174735, 5158211, 122263956, 510587659, 6927142, 187006109, 483159940, 556075364, 958366792, 719694518, 526078695, 769021464, 504206250, 954314397, 522362015, 700066903, 783043311, 897643046, 150945705, 912629039, 786967947, 225824341, 51956382, 431147666, 733544996, 840279494, 879998140, 492543203, 661856170, 32847056, 10012184, 300529345, 119053925, 558999439, 317490747, 934972241, 152011153, 328936516, 188519945, 26983750, 61856822, 589141921, 964265855, 89898403, 751399524, 434114931, 865364970, 555971959, 10846639, 204545457, 337236425, 89585300, 561519869, 430910131, 123634999, 693044791, 182201602, 467539947, 960114853, 228220361, 776575897, 554123960, 651303691, 11304799, 522933523, 916704716, 282729799, 519017006, 993541611, 977437957, 411610585, 813663462, 171430900, 74135779, 349704302, 383854543, 733566761, 760438377, 557659310, 214614119, 35019381, 247368387, 220258959, 67282633, 848877242, 802314144, 926433055, 966350626, 794672922, 117771002, 523565720, 369088164, 957293937, 78581215, 416723054, 653534420, 883615395, 371055678, 576794107, 236647144, 533674282, 496481591, 1858288, 901548087, 207700358, 84996898, 913437482, 75370388, 790703438, 884720994, 287859359, 912828995, 272857508, 546480395, 386807234, 773028264, 312790349, 667401923, 270467970, 405405375, 911181749, 452036813, 73766945, 595728085, 231867476, 477073965, 861845142, 997340667, 562159463, 791555177, 933036962, 919630617, 991890122, 533641508, 111913788, 347137837, 770430685, 966596215, 789517761, 15622591, 878880933, 838429723, 87536533, 107089871, 958156581, 317457945, 470937298, 658549520, 120526017, 398911736, 495648158, 962634974, 683123276, 233174638, 593623029, 59533463, 555292373, 916074943, 715203445, 308551417, 132491457, 606822484, 242377876, 721923700, 279766898, 677013424, 67801523, 392174584, 760692157, 616306868, 830863895, 568984885, 885758057, 646072871, 389488213, 936012736, 825035475, 694273067, 609707201, 549498832, 769202902, 80124465, 619862295, 941125442, 466961056, 752992179, 617524395, 939376758, 416696347, 272063925, 916581207, 467999185, 330877532, 97902217, 456135207, 588016342, 318409197, 955702828, 169452209, 372815601, 953558177, 173229027, 160254603, 756815397, 126003671, 816465337, 211616926, 870729289, 541224173, 802616614, 54709015, 715060157, 954917809, 783693485, 240002319, 415571143, 961123860, 432360387, 308706712, 570147447, 971411368, 218601449, 245822791, 933117531, 538900362, 789771776, 778767732, 881981565, 2171709, 91058936, 349935, 804923425, 943907680, 73735608, 468730637, 321088188, 295225997, 47626116, 36940025, 527621538, 343337000, 710544430, 37101403, 536356459, 898041863, 473031820, 889408928, 152729163, 491844199, 845213191, 274236498, 874356988, 902372994, 936190360, 888703259, 373734435, 563851888, 718212328, 857856993, 564684149, 254268355, 163235630, 149113695, 770328982, 716736240, 766985340, 59903882, 780538290, 74479001, 225646898, 912993383, 218081275, 841303278, 728186031, 862678295, 582317845, 881655659, 177687753, 544693300, 797152398, 872117037, 830570083, 647237096, 580406384, 781605449, 773554334, 944175382, 799099842, 252136386, 885675640, 412256345, 874467817, 199323912, 884450225, 843859051, 594796009, 961664368, 515624147, 334235956, 12361102, 223189653, 846897278, 479520599, 868462039, 42034203, 831006067, 327404487, 534987655, 388396566, 104041967, 355441909, 59894135, 82707415, 967046403, 649875926, 419474534, 435077726, 541363248, 941242725, 893560512, 243281097, 778738059, 856009358, 319002965, 300200209, 193521391, 202981200, 130253348, 473288080, 754261944, 498561823, 84827017, 405566605, 848841686, 464233867, 984137267, 86639515, 453927738, 491775099, 71232775, 879986297, 717437812, 741982847, 8062941, 670427683, 600259310, 708058928, 774072585, 809949064, 55477819, 140225475, 212521753, 262100160, 733846325, 401219402, 483657504, 108712263, 10503386, 182953143, 731632464, 327131055, 499937269, 489486672, 775729580, 714559532, 819764837, 195210883, 676757033, 278092395, 869717525, 402793089, 435118905, 471251760, 703343820, 299747453, 807816277, 428123688, 419448862, 622822223, 160391833, 386639940, 498754764, 378918212, 697589037, 788662017, 109506059, 192531657, 974326274, 536312718, 483465799, 851114781, 896831391, 398436070, 857930105, 965616903, 614521135, 216697747, 571146680, 960896542, 702901998, 540602827, 400361722, 846965474, 888631206, 643751999, 675541445, 485751060, 187694699, 462202152, 865310951, 59781561, 244877341, 99274728, 467335368, 444790894, 5567144, 395532890, 555006646, 948895852, 159908597, 133669404, 75352645, 189885262, 560462158, 539850819, 43170558, 639071736, 646367358, 735268699, 351500746, 667241845, 170085078, 120377703, 592565979, 280065133, 737931129, 151968289, 578735175, 897264863, 387075981, 734597353, 752095936, 940743876, 242230953, 556826752, 342725598, 4721096, 531862486, 849129999, 896392726, 6342478, 418043147, 486035657, 628950689, 850180306, 948994322, 372092321, 625238421, 567363698, 539196290, 526296138, 12706298, 58515732, 337109340, 798470902, 57252624, 724778577, 394680796, 863457044, 366176197, 56221240, 688009425, 766140808, 328079678, 634580081, 593373068, 470828070, 481159050, 188456000, 282129875, 809618718, 859464505, 540454863, 463207390, 976563894, 201715787, 986165136, 385500172, 41380112, 763885449, 884268468, 111264046, 789814842, 667363603, 26322085, 744351232, 82473533, 625533815, 184145441, 756955870, 872372479, 370709281, 241455063, 549664644, 867143693, 960969109, 704506294, 554781426, 49778194, 660749300, 548171400, 875039668, 385779779, 863526881, 658267180, 670232887, 503867155, 825889451, 711768163, 246621855, 676599418, 738841524, 353931903, 34105393, 563003939, 848458237, 299079677, 362381651, 503946704, 347220264, 874876181, 430842083, 574587111, 785038614, 502458002, 718553527, 523664363, 116419814, 904631294, 437231847, 588589362, 830651577, 704416367, 799007579, 32067635, 94219231, 43872758, 732775954, 38817096, 159901299, 444817461, 203789332, 445315631, 431255791, 408220484, 328531714, 839346179, 626508774, 211971343, 497067986, 240376743, 799096399, 421208381, 871106738, 354581200, 932452661, 609008477, 612119059, 100188677, 714532105, 958342624, 132325422, 414544624, 711658614, 725417414, 930413852, 256083514, 74897575, 150446782, 557746025, 528359618, 903726824, 668027820, 160652674, 179226853, 711606165, 193773722, 802605335, 306521583, 792619204, 368353470, 227863351, 854154250, 571549569, 422895019, 742258062, 152094040, 119397132, 317332463, 117582013, 735871658, 494764336, 818751523, 234393230, 406150099, 246569089, 336742939, 43506076, 9848608, 571727029, 577549082, 911096008, 90465415, 686417072, 164839079, 287734714, 824779232, 217469687, 147010559, 116243704, 222287066, 97823835, 38981940, 336614317, 151510992, 384744713, 104335089, 449977337, 513161640, 702387889, 735265894, 704002361, 171917604, 940488507, 968348011, 382830436, 164914051, 47841526, 724144225, 945113984, 840478969, 787684385, 541087663, 2905855, 202057743, 609027729, 999730800, 851678147, 13833280, 477974309, 549363365, 532201526, 854327072, 42111298, 318201422, 766125018, 707557058, 469213603, 797107466, 830378085, 344619898, 20856266, 373012285, 983722550, 562064044, 945137175, 569025303, 145290462, 285168370, 669771565, 214065904, 580794192, 106154151, 508691512, 396537576, 251198906, 839639905, 964155345, 226630458, 593651134, 649821181, 888177631, 493774941, 979513262, 152381291, 782835333, 68216806, 230994378, 934878586, 974279909, 403163364, 127324601, 86418867, 363622604, 383688361, 645331973, 508705659, 533696655, 10005118, 144276874, 135846490, 555696728, 878428897, 980338673, 891800111, 729663674, 244541345, 172035791, 764141256, 415277096, 566102423, 921843805, 598473984, 502763684, 720363114, 565433776, 819966662, 97639557, 760982938, 845841440, 135175727, 88936035, 491090623, 813435009, 766261290, 85176016, 741676546, 718231202, 54211188, 613079118, 197663380, 743496898, 908651404, 949835881, 32909751, 85044823, 863779289, 223737846, 538724405, 800244582, 830670255, 858194762, 646462951, 257004273, 13025605, 378403635, 91688935, 446488929, 630545711, 533862143, 650537370, 306778488, 72406012, 227908630, 136997627, 818789142, 459251902, 607777845, 446396194, 114885597, 419576991, 112482372, 683674368, 528115127, 90541176, 334503802, 696006243, 574751749, 862224702, 657911917, 753165389, 401856875, 430631390, 209680790, 828915735, 19086366, 491859245, 481053743, 936468176, 360301136, 237221204, 95057610, 186504414, 132218554, 808207454, 654657347, 558429341, 858606565, 216541342, 733592862, 762973629, 369481370, 6324306, 193557867, 307481267, 72225424, 115824109, 388535739, 875803527, 877902768, 890236637, 961380950, 56558330, 306036357, 862509839, 446155857, 983730946, 995260499, 773020227, 604508352, 86976353, 14001677, 303729037, 262045149, 602562941, 276385243, 420893252, 708705522, 564929347, 764734359, 978457649, 468899806, 820456781, 347103238, 506657763, 103865918, 842439302, 655053308, 132762840, 716998792, 226754384, 939345853, 638063201, 69962432, 901469971, 28071391, 501138347, 985039491, 137866633, 14051098, 711230156, 750481955, 915644724, 683137553, 740611188, 939755159, 363040105, 215961952, 161658761, 250781284, 61823986, 822252214, 90423811, 197391399, 203172233, 831252831, 477714172, 509616381, 920839323, 682317378, 229437546, 30422330, 340084229, 988062507, 593694750, 113769047, 826290198, 714956037, 662675346, 17757340, 853203887, 195882311, 138838726, 927416232, 87118235, 4341200, 77895441, 63210943, 979217839, 163082085, 770992870, 177243362, 70630825, 28712913, 101158351, 358005439, 650220222, 653879835, 266542922, 586678281, 809682379, 999369391, 281451402, 450684615, 763810154, 832141040, 511771133, 360815586, 508028108, 309226550, 270168837, 361000253, 768713895, 512406781, 196670020, 323201860, 184942979, 601365855, 19137790, 786617588, 830160229, 5022381, 844627839, 790242521, 865197320, 111782754, 847272790, 219433596, 189783728, 677102088, 349070582, 407493964, 892515093, 734711289, 766600969, 248443644, 592680248, 890056943, 653289695, 457456230, 43479012, 395363032, 689201132, 463611020, 720827079, 867972935, 659549528, 310690033, 224484294, 680012075, 927650248, 359224158, 362134727, 81877790, 6815054, 787970813, 54132520, 899821061, 957075868, 457803905, 994306291, 725421818, 841698368, 355514317, 730016997, 733903115, 109996418, 615475395, 733849602, 397240321, 833493284, 999810962, 578383827, 162040480, 732334477, 719071483, 903323189, 632592474, 744270450, 807135932, 350525961, 484851919, 611494255, 625171574, 393109183, 793287197, 568146363, 811795101, 828431120, 24815619, 856507956, 411678543, 638642948, 442490537, 853887136, 348219153, 546343844, 866814601, 824839820, 80467910, 973461565, 534603948, 347702886, 206812807, 555201770, 45932776, 146318638, 164709843, 18342781, 988207192, 735848649, 651160749, 971575307, 890738882, 913672384, 263375302, 53215299, 731455109, 797466464, 297591314, 345760984, 855650552, 345687322, 470088391, 340629334, 288229450, 8818989, 392781387, 872535548, 556472018, 892028814, 506173235, 191595416, 32805203, 240147443, 689011930, 446750865, 946111848, 283180816, 847948631, 106757588, 808798019, 98725503, 611138979, 814125984, 829867194, 597771754, 883993878, 270661896, 955150245, 573880775, 760301744, 599284746, 68902830, 98426273, 748617881, 588927948, 414993610, 125616437, 425727979, 544164754, 828151451, 265575418, 77391184, 169371871, 266895414, 719968822, 951371929, 551814784, 962004700, 311408428, 632840044, 268544745, 348652669, 73204906, 285554433, 467442181, 156469858, 717254017, 867963227, 45600629, 898238964, 865193772, 14234056, 111851284, 754291285, 600691164, 155520737, 193171356, 161757616, 377698120, 537997050, 894240154, 463915501, 299499621, 777557073, 668404899, 952249218, 829645371, 668729582, 715850635, 582890446, 126921111, 947266792, 651332951, 595868889, 672037109, 170032474, 424332154, 544483167, 711681114, 65863724, 41043927, 547614159, 824348643, 640140984, 423635380, 57789229, 299215518, 761486321, 961403790, 49995334, 181509951, 807294030, 948723610, 898750716, 386916277, 387609465, 923212446, 108539549, 858376963, 137577542, 10041128, 240252493, 416176651, 977206448, 416062730, 897854239, 539570232, 815097618, 970902167, 472086092, 824133073, 378017894, 116013685, 521337952, 347423409, 186219553, 2672731, 237214125, 164817386, 494128754, 408385972, 682490263, 229375645, 320483179, 977738919, 64918207, 751643804, 390727039, 565173938, 752882940, 312693670, 334128664, 437691619, 959371904, 690549093, 384911268, 37769198, 313218312, 735327368, 865607311, 328963200, 485959265, 237256720, 298136882, 256432466, 738015760, 138776279, 351147733, 775904490, 594695739, 148720899, 480613071, 911896091, 780914864, 526778711, 655584350, 603344005, 152776216, 325711747, 577373432, 457554966, 619247138, 838235565, 297923010, 384806101, 905569534, 206638811, 686734582, 229246150, 349944972, 552137060, 33268040, 849867959, 339517704, 371319060, 296766874, 586112413, 613218613, 793845309, 269093294, 228213007, 519383511, 109049617, 111233096, 411401589, 90167238, 790774217, 440834400, 10282222, 649403696, 705138235, 496039627, 654506630, 187408740, 560375992, 165662669, 874737097, 418967682, 526677580, 299780037, 914504635, 806894081, 127048194, 178466863, 778264933, 634910240, 125805046, 59021581, 464540618, 602340821, 501915777, 645994006, 273883775, 571739822, 452246871, 621470422, 215880978, 605810253, 424364346, 778675059, 512120458, 564173814, 740852495, 734979, 913826247, 816928255, 854625991, 91567632, 766397120, 563899092, 72194112, 603130118, 768140955, 922572757, 525387278, 549297349, 744910600, 350488832, 293812736, 483517644, 68297164, 289996484, 568921045, 494946629, 899254236, 988121680, 16939479, 477146586, 529022029, 808877631, 255195475, 464953194, 211787757, 910950025, 509253967, 261049824, 819918065, 805108560, 96866729, 719270792, 823746217, 990908510, 872575411, 776739651, 236412794, 379157703, 178681375, 863350710, 637229057, 364421795, 958501759, 474906222, 93416458, 757576931, 692353928, 65720221, 533525431, 968372271, 372232274, 28894149, 283130376, 914897182, 675856315, 493707306, 4851512, 127572903, 684688957, 834885973, 202858390, 27133126, 83534539, 633074308, 639858018, 814976301, 445030019, 222077622, 506674014, 638783245, 758658646, 695196529, 455830785, 502031298, 426221388, 176022553, 182281360, 685646697, 769649791, 415312776, 357232799, 820151709, 14871740, 97419160, 291207176, 383930063, 872748970, 329513752, 899180528, 814859293, 244466821, 37200173, 189687928, 182374609, 108434949, 613642580, 666191221, 686411773, 909663382, 523209093, 540974132, 616816474, 374416684, 570433819, 568658225, 464015205, 2493915, 539498767, 277855521, 106640490, 170235390, 833168690, 252941064, 499627644, 311875344, 603402434, 303232621, 703348106, 164432629, 213060330, 425121548, 267397950, 570490869, 484955758, 233299368, 693894349, 396517130, 758205155, 911183562, 273907710, 303720724, 708404775, 630216646, 746989138, 790324962, 328114443, 119651626, 504020558, 420720593, 341610613, 450980626, 471028072, 276917983, 208490011, 272644317, 229238480, 45937922, 903947527, 360953056, 683568795, 731361533, 297055273, 132425725, 745394836, 841536742, 641845478, 639597758, 657794935, 100487195, 60132671, 380491646, 226735480, 933908500, 278553355, 493134792, 716163966, 684683843, 96951533, 589926379, 834682082, 868107249, 333758803, 972469559, 357753297, 147988249, 156012254, 247022930, 645158713, 655283276, 214183096, 738872732, 534135258, 380181043, 515671964, 807288564, 783893707, 106749038, 509836999, 763905058, 351648150, 478758310, 653955933, 694143297, 951310405, 626411157, 60977503, 358203194, 854111819, 697862020, 808826516, 173347159, 172691581, 728126663, 678929657, 694403152, 415842944, 514571277, 209801547, 199995791, 362941867, 857503663, 70750322, 986716586, 533282920, 375177208, 230730821, 49304473, 769785497, 322594474, 965222751, 427359002, 961825669, 56917650, 514094444, 894840021, 235936298, 5066562, 537737400, 166246998, 525019801, 539638845, 453723276, 526168086, 901758004, 742134835, 459508062, 430472946, 472881606, 150235067, 424216246, 323644603, 705448611, 48095770, 929382194, 130971811, 399041126, 191376243, 745683471, 781411493, 174018490, 932002126, 444121426, 217676149, 230443947, 586896524, 216123837, 392536487, 134697473, 757002259, 126711098, 115053, 868139443, 359270286, 891072164, 643172370, 256389054, 696250989, 874976664, 243912631, 792719294, 99709519, 470584091, 951434779, 996288908, 484579657, 502024214, 655574893, 939266848, 894899820, 310971626, 181761008, 769697388, 466222996, 953276170, 867908727, 949809579, 46938621, 972020530, 144546474, 654147725, 425954274, 377709221, 892875942, 647689730, 916098244, 734356354, 654274781, 233615290, 316232134, 277689697, 483978150, 846424118, 604304357, 52009596, 657443526, 698891562, 413823841, 959911907, 425218606, 465379798, 988519973, 683291111, 781401759, 743010302, 58305401, 591032606, 186318887, 631235494, 708800244, 527875684, 481448372, 940581742, 905375778, 227015602, 441243962, 421028568, 87934933, 695746265, 124852762, 692351980, 408924842, 679093951, 606352107, 765422020, 579044413, 844690216, 913165806, 653940501, 55402321, 666337666, 401746611, 799418238, 40032139, 55138563, 557569706, 980602054, 89706977, 169375333, 276048958, 13114391, 108640527, 266087164, 847545633, 117451734, 11391210, 756116576, 399313777, 595189956, 832237743, 76220779, 69716339, 61911736, 740965143, 957590302, 896645567, 90953293, 599581075, 699778007, 6451958, 525024557, 943472695, 448431511, 947499788, 238960600, 48063582, 781102445, 598501845, 832142741, 424912835, 681603314, 111991617, 237575742, 487835635, 310487870, 235438739, 374600591, 345901369, 296547555, 170364144, 554608765, 977899923, 470270120, 544438004, 488832457, 662799491, 416700528, 642491100, 539052181, 242908843, 464007083, 928515538, 641724617, 795379603, 668076617, 777836533, 421386259, 825050543, 374130836, 640140445, 800390681, 991921698, 31997363, 926751678, 724784616, 522113326, 730057048, 358744444, 522077981, 429130500, 506514562, 940983637, 567258078, 832874740, 405565625, 853763392, 43686520, 698285129, 86089714, 630724579, 904627071, 85464978, 210943608, 41397655, 215638016, 111338655, 839696857, 26251128, 490434156, 701564918, 424964618, 57141625, 275895833, 384382577, 60395938, 371782056, 978297660, 249358903, 120235952, 154369612, 724934210, 670376369, 164022320, 285097697, 294943095, 347593798, 239068793, 221374769, 911888925, 20810260, 332106836, 640930275, 95822139, 1571993, 857472911, 505560884, 134575040, 192300340, 216800821, 916722277, 22697206, 63092652, 126932824, 272898142, 978278714, 863336602, 307257414, 644789132, 114949687, 803123112, 936806656, 622383655, 98645538, 799440340, 798235890, 878331360, 744176258, 613194875, 955177586, 571424086, 123261161, 388334883, 22161920, 830208349, 222479395, 657022868, 629997484, 650837708, 436611625, 502956115, 858342921, 767141198, 562043633, 154452049, 732399631, 886837771, 915392338, 97463820, 833755489, 815743615, 876690189, 754387721, 596934133, 237758340, 607116416, 578004649, 295812424, 387351519, 248063391, 828957947, 1550994, 776291279, 626926862, 383173201, 124062736, 381941393, 88375767, 628349375, 228404250, 810446242, 339874162, 288674757, 30274780, 573959479, 311136749, 649514199, 510522767, 116464740, 700517948, 173495814, 60711956, 73649675, 466086525, 713505871, 50245889, 761309518, 896494345, 205290016, 398301842, 541729999, 639678325, 539101654, 841894603, 789326330, 620573150, 95480033, 425444394, 464780613, 14567395, 567446450, 358955387, 754997130, 344779860, 994686926, 479105276, 781249480, 552550701, 541023558, 559550067, 186215723, 845108855, 585371176, 346453600, 622647901, 291909496, 304646781, 546342238, 403462827, 567770394, 892012882, 671807324, 610996877, 628356398, 500972723, 251721401, 757622414, 578744132, 41566093, 9568131, 18352636, 88567796, 849312380, 474459981, 855209670, 376845396, 617717670, 461377953, 898393064, 677685131, 853714850, 889087342, 691111191, 652897809, 9629863, 846284216, 250013301, 681831615, 146216915, 74441364, 44783228, 149685860, 982578065, 155567299, 190022990, 850704534, 836388533, 597196207, 756593216, 841175392, 687798653, 739389988, 734568027, 119179462, 625144506, 848311679, 407165036, 612966752, 222443754, 717903465, 858963226, 779095569, 29576749, 23450977, 396596171, 330689083, 296585309, 894198556, 268808083, 79031758, 463746971, 785735619, 453078891, 572862374, 948022947, 326894415, 504270119, 310073495, 27267677, 508616153, 187970481, 105307744, 369310499, 834261881, 569395278, 416503699, 322101103, 145496130, 33195306, 301653691, 57948658, 523720429, 874749261, 249140430, 117623766, 807109538, 427178967, 162606081, 378210922, 169888597, 939799642, 117199998, 452904852, 122981576, 73820623, 197142045, 278056391, 236750944, 190856587, 124521692, 383483540, 870736136, 265390031, 902240416, 437596301, 32132324, 852149148, 372407666, 928227112, 715295008, 55130584, 276247578, 606487756, 108154824, 994727654, 108895351, 766250899, 412822602, 76179954, 847030443, 341593517, 972216081, 625283404, 124182160, 125781969, 770409923, 883526511, 573419987, 786431992, 476181233, 242298802, 993917602, 63128982, 201099333, 972419967, 498453655, 434307071, 594093257, 325199559, 764372691, 970931812, 218432404, 455107601, 469627287, 343738169, 721363964, 274813908, 342867048, 659546741, 229858823, 630855536, 227482130, 191487859, 899395453, 46299454, 669641858, 923792841, 655108394, 664367402, 602526320, 753894114, 475465625, 298622488, 710297840, 812077387, 536543915, 503427692, 265335817, 544833914, 344781073, 335608224, 253432638, 514317276, 558200155, 290148653, 143565795, 332531400, 92969872, 299839582, 699073611, 184200003, 916822299, 383203031, 311209714, 258914924, 839187152, 711744075, 651214908, 713550902, 441877562, 420316239, 907821188, 271030378, 804524425, 128415226, 858498825, 152613717, 11512781, 939130778, 692488873, 316668234, 274751254, 521722106, 317949444, 320029798, 507956819, 977129996, 298083709, 108994110, 684317112, 380056639, 144209675, 15342600, 447044468, 765423875, 48236296, 174826807, 658821509, 764772643, 889994168, 309392498, 223069150, 287830877, 430174418, 44103118, 27519562, 984923190, 684730172, 854503209, 419778214, 624666155, 270862172, 712587673, 120689347, 452053366, 333894647, 102761822, 121739403, 70021915, 902051317, 462099698, 998048893, 125394992, 68415845, 77675755, 103172688, 335872898, 635883541, 733654249, 160769416, 344575352, 131401880, 506025979, 748148989, 339407135, 17650055, 158931775, 98483801, 230211253, 362670497, 907102110, 30027368, 422739660, 865655468, 438526248, 857875444, 917146138, 405463502, 934653188, 948280556, 906147263, 467743883, 821038711, 126953928, 711335709, 795905877, 11738083, 560510584, 77624907, 280870332, 97316667, 568125745, 291531802, 842517797, 670786251, 148039660, 662838808, 644807830, 307005460, 905002073, 102117, 979690884, 121507443, 535874430, 915927883, 783875096, 772908659, 150258119, 554097668, 771162127, 795120707, 907263678, 377352943, 512206045, 802229876, 613970044, 922132088, 959884541, 195919579, 234957261, 756346462, 86922170, 630496699, 980744464, 887628692, 135489759, 262207956, 108756335, 402008450, 491626817, 200622718, 47062561, 384948491, 583912654, 497365817, 699099633, 32596187, 26432515, 216004672, 551022481, 565280290, 579221053, 673751391, 482116187, 35082062, 704514749, 87260487, 197460734, 722916692, 61113360, 340664545, 809561966, 741967525, 314239966, 780821427, 148376317, 577942357, 223400499, 14676614, 399985208, 186444345, 833550255, 923992473, 210554629, 296822347, 223343935, 473803445, 264649424, 211651339, 330608627, 806313703, 890351729, 833091865, 792908217, 502817965, 289862184, 871358122, 185285186, 356021130, 536996290, 274244797, 387175493, 22257786, 421680652, 516474669, 945147399, 648356888, 833214657, 589949452, 100575166, 933309403, 481348456, 101423446, 80467341, 705000864, 445830455, 496810453, 442005704, 222394244, 409126554, 536927672, 444532098, 698708316, 322794606, 42789316, 933549386, 544181836, 835864049, 946031837, 707996345, 587933135, 13404017, 817236937, 454279812, 873845621, 631728400, 450812793, 243815532, 620311627, 788863482, 824227245, 501932579, 980905275, 537728820, 334102732, 295727372, 377406913, 54121080, 177432473, 779935932, 836740143, 337962597, 497632721, 929191435, 382555045, 459554767, 211282907, 811017252, 905404774, 28751095, 612862368, 702008322, 964396433, 583590436, 412777007, 793180054, 230081580, 943387628, 480598207, 623083957, 450770058, 684873961, 992130610, 441834380, 592039282, 467947766, 157846133, 462752014, 221814503, 837618991, 123993926, 82846209, 386751184, 985446222, 69681307, 142821884, 705821086, 734535115, 302716064, 918581344, 597589854, 979744541, 780801590, 151258415, 243034333, 239523754, 313413537, 535062165, 987610145, 279388201, 413402183, 105118646, 994678408, 595518022, 893264470, 7417830, 29797095, 845804301, 496751681, 572463388, 589587821, 673241557, 21681909, 527075932, 735298391, 291486978, 153414423, 955731850, 394656414, 504455013, 602586638, 637419903, 552072418, 744786479, 182079054, 516090542, 55491040, 860505264, 265298337, 910170102, 148606277, 550711, 607449069, 627439041, 711229389, 400867143, 424323405, 114257153, 72529876, 511538404, 211256457, 657732567, 485383523, 547772476, 547358131, 163132628, 205849393, 65393657, 328404506, 304144094, 823318138, 212474880, 75012680, 128569206, 60448465, 628809620, 742831879, 54377260, 229268320, 508761910, 997417432, 532507571, 546257816, 775654435, 142993702, 249584721, 949102043, 575853896, 699315409, 142763379, 798850650, 689353203, 882075789, 503968858, 92439900, 955548076, 231713117, 465665225, 466065889, 393895450, 640623601, 98743282, 269656946, 536613385, 504555471, 339593568, 386667000, 18716008, 183050910, 754388904, 403854704, 220374593, 835351990, 917362804, 93211943, 592881293, 850174752, 507600220, 118861554, 611403710, 548850607, 118153251, 687864045, 686090623, 609436203, 159582640, 43355598, 411966569, 252462984, 427929900, 661444374, 906160928, 187694341, 631642231, 248270882, 872526568, 31187265, 606118115, 665042027, 445286874, 851674831, 584286173, 863563866, 855450125, 869440466, 739538267, 928009841, 46440357, 502663000, 430070375, 192526732, 31874965, 903062980, 382954155, 99090212, 996881890, 990785198, 903604446, 698467356, 689333110, 700654846, 55985401, 938640394, 232949478, 536865646, 298638779, 365760104, 493984238, 187048744, 772564891, 221382283, 26186949, 497620193, 956684631, 847688900, 794356533, 433613864, 927520671, 529879643, 616219167, 226237514, 275097770, 444190359, 699467156, 114473728, 597862221, 365473972, 852565186, 217690366, 951917084, 334048142, 379477186, 27997477, 471780069, 298482411, 861703550, 880374312, 713684835, 260106274, 427812218, 544283034, 863526030, 143727961, 425242482, 421171099, 579058349, 491153067, 753284777, 843699358, 916524733, 221081765, 367418885, 534403386, 262407867, 543578996, 80818438, 70951183, 678909670, 468795248, 557483631, 468769780, 150177164, 677608207, 554731952, 271257442, 563831344, 112369539, 127008074, 587603809, 200603435, 701198375, 26557324, 474202748, 984144946, 255756859, 749146472, 377941006, 605371998, 593708874, 917524006, 371614878, 743622904, 511807870, 835668962, 358792619, 185324611, 581942111, 618806695, 456858673, 411154485, 701154380, 575569289, 443661543, 460171001, 87549866, 981433104, 800410752, 185573811, 813217933, 232721518, 422708343, 538107507, 217611337, 610048458, 987093930, 232072260, 82754929, 712384275, 2786805, 783219078, 698644674, 573266768, 85958837, 308946455, 548828271, 287490875, 498974622, 962049388, 12874718, 861300395, 788513573, 914025665, 84575144, 563249867, 507032375, 600255876, 376751574, 105694271, 724386688, 759500505, 278236706, 99261945, 695291043, 70200538, 436152179, 430745886, 778174756, 737530107, 246662136, 429761447, 791600337, 777754281, 468862342, 759190538, 128049729, 734583859, 971610497, 583250102, 48232392, 552219440, 839160534, 862049099, 65657432, 479461291, 767376095, 760807519, 127344486, 198325667, 630831439, 796300787, 381056694, 102915665, 362444112, 52718319, 60112500, 628290008, 387598945, 326938880, 371633937, 442672959, 14924415, 830002670, 5402449, 479001138, 126893908, 152933587, 653119137, 396189589, 32587858, 147497141, 622125894, 971081348, 160558586, 398991125, 238809427, 451575568, 975578324, 466056822, 212132492, 803331093, 172203591, 744840716, 291778247, 386046365, 236414231, 838046457, 756067586, 348862889, 108431964, 637330101, 915570232, 204930104, 483588234, 660881673, 833161033, 923167737, 823748946, 881610956, 298385138, 569150964, 284413680, 750628659, 977144252, 441828026, 734662739, 657527458, 95148126, 470385839, 965726511, 213638782, 348560487, 80161183, 281421848, 797136782, 801589810, 364802334, 867239737, 167549135, 348455648, 612588607, 602222808, 269754597, 82021429, 860912224, 540358324, 533848707, 1663625, 943789921, 994103700, 761923860, 414763804, 609404966, 445716060, 50521175, 437672112, 93080132, 756852947, 153650599, 187332027, 181371707, 822722155, 71926247, 68227547, 716404947, 561875674, 373443029, 363785794, 178282051, 597078228, 302442205, 792967657, 902922246, 815355688, 101052735, 64451464, 206271470, 467239626, 27572433, 730045697, 789132546, 158542177, 452195896, 489527629, 185785094, 560819405, 451849829, 40198825, 803879645, 93282749, 804321461, 93831396, 274517867, 705471621, 102972677, 387281324, 842262796, 178665010, 336853449, 969928579, 460034963, 263791127, 454786864, 612544492, 365176543, 469927936, 594215866, 995536217, 885063704, 211530428, 473415159, 37147314, 258307045, 661641928, 288126494, 783407021, 996852781, 911217928, 489652823, 51017878, 908904759, 51986151, 803672625, 857437564, 496137798, 30149546, 903658032, 172784717, 295499493, 915433889, 150243570, 717051074, 990201906, 9132803, 394801138, 685561079, 692166514, 952374907, 498049150, 107253974, 894845502, 397224391, 492403405, 812638217, 30786333, 802178024, 451338840, 415147449, 983324397, 385624237, 243498995, 127672590, 502375938, 664518170, 48467405, 389113596, 4474627, 157932724, 177464993, 866636716, 950245277, 263041178, 656402356, 605641331, 495544485, 116388505, 307287636, 708550557, 906548173, 411887450, 913647044, 798471602, 286061659, 976456296, 108784299, 18696377, 762880782, 462418643, 204245298, 971613961, 142291277, 906960429, 548372594, 690489728, 853749016, 242543477, 32289461, 874164142, 70452467, 604089835, 1341973, 964185035, 917166572, 550196171, 761594272, 620566452, 61035675, 260018754, 931420600, 499625628, 259790475, 9693130, 982468431, 317378819, 325141551, 777671027, 18064195, 200113735, 703945737, 448211270, 229330282, 636535269, 2492629, 95087756, 84143037, 54211884, 843512513, 755078917, 239593831, 843906871, 145422074, 26616642, 117556511, 335550359, 53340257, 188897110, 226789277, 772597829, 952914736, 553000377, 308693149, 819232713, 504158979, 672694087, 129020052, 913618956, 31087628, 12091558, 916697904, 449193493, 114122927, 209367711, 647579183, 182477319, 789253944, 927297270, 165279368, 420889228, 888790417, 21784247, 115343255, 973993941, 727060753, 850063060, 269751479, 95425835, 964065018, 523282656, 405589149, 772765391, 340302667, 890136265, 283292665, 546698202, 989559670, 737137916, 923147199, 183957401, 192978258, 189434419, 759529449, 174218234, 164810975, 606912945, 459223749, 456388180, 412049780, 789934571, 327206118, 666789787, 350906399, 631172824, 641243294, 123746251, 70932494, 841873730, 195630248, 861839883, 984103063, 685107299, 822614627, 866095524, 631094696, 961022913, 590480772, 294304843, 646241887, 116934945, 609049700, 20725361, 227602979, 805091251, 268654597, 785876780, 472409626, 536808849, 754691167, 194356215, 107171381, 2880023, 456832705, 280261077, 831019323, 997828482, 759094429, 654088655, 470097007, 841700280, 19543394, 933463141, 35492276, 772106970, 745924732, 477628475, 204059872, 709574458, 109180162, 455436527, 113527887, 589753855, 64090089, 867812833, 921233803, 863945408, 455217386, 349456195, 471700479, 210792697, 977432664, 337214254, 79218757, 446340576, 716306479, 170145914, 406086831, 829303634, 867615331, 506838418, 416230002, 611868420, 772295133, 922751639, 981419135, 44842464, 43987051, 96654235, 942411568, 329108060, 6316197, 995583793, 736108837, 452555357, 327056104, 651881158, 562595976, 86648982, 366811158, 209031286, 407124425, 122013472, 824528362, 984821247, 683693460, 73008278, 384563378, 171043810, 736283913, 292396415, 339032515, 199981852, 752300446, 4732387, 230335129, 657187462, 574812300, 310686240, 67631309, 300882348, 157014510, 548920462, 238945636, 198833601, 970375609, 64484990, 836846530, 287040875, 89122495, 639708554, 364189694, 398363045, 299520774, 648883862, 761466178, 99196379, 151178488, 767483132, 881560900, 785403252, 630620891, 354131885, 992104494, 714228281, 349166385, 868010963, 367587778, 126621826, 179132663, 468084160, 111258767, 127956917, 352284708, 296197177, 431848960, 959074166, 878132058, 103194743, 475244318, 469846826, 166468299, 816791008, 19103245, 423703346, 845831112, 876171765, 402203026, 70797383, 376209559, 554300052, 476570954, 208779860, 410781991, 959649652, 498149855, 743274323, 608556278, 67642028, 288029635, 593389850, 645467604, 139145958, 441673867, 691269098, 662155350, 207027061, 93805382, 519000743, 212417602, 528324909, 479352134, 323074134, 433029390, 81464130, 698502328, 653460537, 657964318, 788613723, 211316966, 697568450, 384932735, 513262351, 933635291, 698793933, 74109858, 351107727, 458465006, 64009026, 619700931, 638372753, 812659218, 417724236, 311272381, 356175554, 855770544, 842714713, 293945836, 404135702, 875881088, 561918389, 543056012, 552974044, 447766610, 237437930, 328714154, 325467462, 33867673, 615839298, 471891443, 989410506, 787738187, 49307100, 475915086, 703457969, 153074060, 32272054, 321941683, 997657072, 670370406, 572670962, 349024146, 414784721, 941606646, 883027884, 814560973, 326659499, 691864088, 556008031, 336978785, 962602386, 839382890, 494233291, 909769539, 351258565, 240698854, 511256941, 353898293, 163089633, 269788296, 577693874, 712027283, 706362795, 440854514, 783894872, 690477947, 18436334, 146052250, 646257436, 348097726, 983349089, 483747684, 563044737, 450755163, 855282076, 686080119, 538999184, 566069905, 730215846, 19776543, 732743795, 113950847, 709310298, 767459128, 623674767, 192803424, 311828444, 633332532, 465535625, 139734057, 783507155, 991084923, 404626513, 493811622, 50729136, 147959457, 300005264, 627509132, 991984257, 43285289, 123408021, 339002812, 6442330, 40168824, 995610208, 823156152, 137327698, 674334257, 568965138, 468993588, 679442740, 538305224, 492549043, 787182647, 319239553, 350901919, 787968536, 357226434, 331749326, 70564748, 771681235, 410663800, 896943772, 646544713, 874137591, 216188898, 343984111, 773084220, 726745540, 398067119, 199468967, 585868074, 25961489, 500695429, 989461266, 121573285, 790179037, 213010435, 521766615, 86547792, 894909729, 489385449, 170643496, 35847729, 19320805, 492855592, 743207707, 592702471, 319734901, 128221613, 525339826, 269199749, 686641834, 170585131, 53263260, 909790347, 322079170, 887766056, 566474497, 899610144, 594299463, 65488099, 253760287, 255957005, 408370103, 643606868, 184063258, 349314977, 717521204, 775544013, 691344900, 225752669, 182398353, 128411811, 164375273, 487393422, 93785379, 489806204, 89570248, 846472334, 831539871, 645020385, 53130637, 241009500, 661512133, 927025869, 14791444, 657782639, 499786962, 961947570, 905695879, 889253410, 407370681, 623844946, 890810903, 253539852, 748963926, 119034505, 864159548, 750805705, 689724202, 450116139, 818704301, 479718014, 112504023, 286253109, 123733959, 378218282, 393610880, 176410741, 70302748, 463436044, 944913479, 185758270, 373724659, 918662294, 400349959, 641567297, 959395052, 169489353, 139799116, 789276735, 521574740, 787901250, 544148090, 366881168, 924007307, 724620443, 144061441, 589906820, 467678243, 636782546, 549990135, 599887231, 300700479, 829091243, 733818773, 201401033, 7244160, 11553420, 662927308, 500263678, 905054490, 783200036, 911904073, 200784470, 950224498, 694891057, 623521635, 105475825, 967106642, 994515796, 985241658, 925519025, 798517936, 825056698, 259899342, 322489882, 511787252, 383107365, 941260153, 382972505, 962814236, 608756627, 926571706, 286495217, 876790071, 199533558, 144835798, 462661283, 156096027, 241955116, 441411820, 354235452, 753245641, 757497145, 724591365, 362072743, 446059002, 840839407, 121158062, 704842565, 895178492, 339384571, 131622645, 887036686, 663783842, 874125293, 965362061, 387827664, 812435164, 131760913, 642646565, 493401004, 612136242, 771900662, 182569964, 670445404, 149858458, 532524168, 881434921, 631164701, 728408894, 129383526, 413081944, 59372567, 102679410, 926904487, 672143526, 817721021, 361016125, 792639577, 337389253, 600717499, 189200865, 595521319, 616380678, 165360987, 198787050, 504677557, 541145199, 604760555, 516406898, 220853071, 667870934, 661335854, 118942040, 338991649, 136148740, 795010415, 151262017, 93304104, 134821879, 253653887, 256861757, 675331235, 597314108, 275989695, 329674755, 9554267, 54025976, 940680952, 34770037, 320072902, 993938943, 89527372, 234497428, 598747178, 98639246, 658373476, 353399588, 964723799, 44392584, 726330607, 804391587, 77644147, 91810584, 716265710, 208985950, 956459216, 125352141, 39565889, 570790418, 999508368, 214983911, 506148375, 1830495, 510862771, 613604370, 893443212, 379497383, 93803389, 899913808, 381283022, 709513887, 194619626, 329991324, 78526345, 950439664, 905949153, 313288224, 164241010, 463315704, 91247292, 715772595, 701723929, 546570225, 470361048, 963014288, 85419086, 354057375, 438976318, 454365080, 86857882, 730205728, 865422924, 294812948, 844451220, 154000613, 729459795, 297949160, 917459813, 131316783, 528022606, 759982883, 711532674, 400454218, 277840994, 828948352, 863507030, 233377297, 997831067, 895136436, 803073800, 535758296, 819127355, 425722882, 37825977, 456946713, 313487464, 942231049, 667335359, 823958951, 630662182, 268322708, 757236929, 334097918, 790977093, 374484815, 712338406, 443126062, 47550849, 34885942, 420771583, 389652981, 928033691, 568641930, 218793859, 769859899, 582018664, 656773374, 861095043, 494943623, 747769398, 788793474, 797221580, 740187084, 800424962, 43411955, 831068666, 987480050, 851862503, 324652663, 505481015, 501412158, 526878656, 585903468, 636585410, 869150159, 122285485, 391014296, 323462361, 648186533, 437562337, 830706630, 633730711, 487384309, 282637221, 414144823, 719628351, 423708291, 707665418, 944231503, 776275213, 5727132, 903728392, 413125398, 690182629, 803602248, 333282596, 11367105, 244462650, 764914559, 609785263, 497636887, 201501716, 165570983, 206973115, 983356136, 525217798, 340640558, 27839764, 551539338, 42859006, 128624748, 902688434, 250173152, 119745670, 562177080, 66379953, 252345987, 156984854, 765318750, 608433502, 459621515, 227103320, 876284005, 761254141, 427165774, 92636386, 913419165, 769445800, 4737033, 220368607, 165159109, 948149168, 194673369, 791747464, 595191901, 494803458, 575968485, 897326320, 485961647, 303177652, 435169151, 961105254, 473893641, 786488664, 327961475, 199911801, 70313714, 134366967, 383977927, 451794604, 317289429, 68871036, 585726630, 100701868, 441223547, 194415462, 518852541, 7732306, 292557169, 667841823, 17061579, 439986594, 716555218, 256931101, 324700067, 377523696, 865999332, 666319565, 85077601, 566605840, 436284767, 731359232, 319619808, 721694381, 315100832, 680606983, 148253136, 344015631, 255935660, 135090679, 751255722, 208813107, 447032024, 943753744, 317456000, 39261297, 121812475, 519119517, 920515611, 619900050, 881870880, 496976303, 649665773, 393296258, 347997265, 301661894, 150030699, 519011061, 885786132, 447053672, 965734572, 32590280, 632044402, 40853537, 597414551, 496382433, 861641306, 362585790, 770878143, 330910457, 608891230, 271793534, 260065285, 749820792, 947792540, 214599342, 466207845, 495644254, 48653050, 325558804, 884726568, 42048855, 14920080, 796880940, 380680947, 658726321, 563698445, 387112943, 855377395, 619788393, 71946350, 258031921, 452196951, 928121771, 622026369, 347389218, 725211679, 756516438, 482376879, 902727364, 282704559, 55306934, 517619852, 836073444, 317959502, 905928742, 291885742, 226974811, 780889766, 217520909, 135615153, 997345511, 705178997, 4240295, 62781769, 783213975, 57209856, 360543485, 292519030, 334195795, 976518151, 506598610, 849151253, 60240374, 348258984, 515371581, 800784023, 24037111, 602096834, 709240161, 307709798, 650217832, 13430132, 761548158, 717975634, 999443620, 637853664, 625095127, 454376941, 637440609, 287586763, 334647973, 980645610, 422494714, 626290215, 346481503, 643293753, 730766914, 608893154, 929852117, 660566422, 48426236, 306885361, 255310417, 920057578, 385613169, 155955548, 139247653, 980976702, 367478384, 399574776, 278967053, 466060271, 261359021, 871488412, 553405687, 871266891, 615631311, 87822237, 822101501, 792200950, 118906384, 594841654, 939431791, 65195004, 848063644, 405439026, 986006204, 637145860, 920845304, 483484701, 159691455, 894601000, 539803375, 204400391, 357818744, 61458778, 453772285, 509821462, 163741611, 204105020, 904871383, 227797265, 49068354, 239623486, 543453994, 902827596, 214368868, 534559344, 717186469, 473772708, 342743418, 105787933, 573262939, 100956792, 90594381, 639253991, 399560554, 763740700, 951852462, 606132629, 140244965, 401034041, 819290077, 747828409, 99414241, 334657969, 650313812, 901796010, 805822583, 8291026, 930173250, 86660904, 598274135, 741217387, 360511327, 163975600, 530233829, 784456925, 225893227, 871515415, 781947096, 185932030, 749559795, 639393243, 717969245, 26987564, 999368190, 140600628, 473643487, 377185764, 779976882, 686544156, 55056651, 954295305, 760289446, 30137113, 869413687, 683140231, 920314600, 639744752, 548602345, 345139341, 558838483, 382843061, 220279155, 840132385, 656809855, 998155886, 809036415, 372746251, 672315731, 238832869, 769981208, 868980441, 3964372, 876183182, 69313736, 864460811, 845777556, 95636063, 305026418, 77488030, 198976519, 591871301, 328410898, 539910226, 498800524, 977501391, 305560979, 413454649, 806793662, 308893296, 812231008, 561346538, 888596620, 674849160, 831318399, 309749266, 146842613, 85584801, 832594969, 628849979, 280354748, 412851900, 257151579, 934117154, 556655878, 458473368, 753739473, 201792188, 868048164, 43536808, 423197373, 772193444, 898126744, 726933234, 260156046, 315198333, 382717065, 633196870, 552681771, 985251576, 698468686, 393598031, 416481180, 654908337, 453975102, 264915130, 355337780, 473696724, 769999711, 246001679, 107580871, 242079551, 1272129, 834023017, 442737321, 320710013, 222639325, 178595053, 99127957, 391285722, 776940988, 940699372, 884069994, 966590688, 950421472, 155221452, 773669840, 118931447, 242691820, 248786395, 672770470, 787954565, 51077013, 802129078, 886859711, 176052542, 675793993, 119469312, 400711049, 288207980, 317733333, 689233408, 570166904, 108477116, 304851076, 667253862, 759748576, 245299192, 657291825, 805467083, 669054868, 81641053, 623612928, 847975179, 650066018, 106940312, 727793810, 533336539, 333547088, 629783912, 888343521, 507107968, 384396453, 497563114, 708338395, 262066367, 20427459, 99094704, 774796182, 205780778, 934622725, 366471655, 353625590, 883484224, 152471479, 775646384, 923614331, 459177118, 368071042, 637570408, 35672561, 51110147, 397304920, 304223916, 216289100, 56698398, 728921564, 930819362, 523406059, 928256513, 397919304, 67449908, 590513425, 499395881, 537396649, 727085587, 947712556, 55437744, 991509230, 903979098, 459484847, 919364549, 335621908, 406656205, 153844077, 282510536, 714868578, 703115129, 127160406, 501666036, 780306807, 655654022, 589076451, 167464093, 484984905, 459239244, 845012639, 10402988, 695259675, 253309331, 146643427, 236467539, 46968156, 79973324, 764826659, 509530489, 381662960, 417661553, 282384446, 191192903, 706451423, 568731543, 594003873, 128817606, 986449483, 794351301, 977764100, 274327776, 939495312, 863528059, 438154536, 156246229, 917579284, 804932037, 199616525, 737640750, 988798782, 472724472, 967867814, 116693786, 356246460, 603026390, 322089185, 359331761, 267724635, 768996912, 200668538, 563928225, 622037151, 105505973, 941365443, 912542580, 172158711, 654452275, 819436926, 385688339, 894889043, 695387219, 473488116, 979632077, 522604533, 574114548, 29787800, 938007984, 15317607, 45997433, 193034224, 581551815, 353543020, 965722020, 669216545, 607629366, 966016416, 561855598, 310376809, 475443042, 81299601, 213600371, 542790812, 476768449, 12823542, 972224798, 606350844, 231817187, 159195073, 30861869, 862775512, 119541047, 972057392, 622492715, 770295861, 809926379, 797819739, 961632593, 238954227, 659497680, 146868662, 579702500, 59154041, 173375436, 481675429, 416478138, 785029441, 33006471, 867714383, 567523569, 150595408, 879548633, 947719531, 510643047, 572327714, 775246930, 85093749, 36598201, 821658628, 159713297, 989924650, 982922473, 622454946, 644840667, 36257877, 40669088, 333995089, 699619925, 931960470, 936986607, 878916429, 463105969, 298952159, 629988994, 518990958, 370077195, 180474042, 425494600, 523369608, 34251923, 102298117, 477988840, 696955262, 559178320, 863300296, 552108156, 223890319, 203413201, 842210914, 730957504, 956664642, 893908120, 697802272, 621980562, 836446058, 559888488, 694099383, 860947541, 230241667, 338144420, 226610846, 306040113, 833870836, 138585956, 232778950, 916826726, 121536612, 333899767, 356693083, 12737312, 845385229, 488673485, 435644630, 376303353, 523247955, 922163663, 954264428, 906106591, 847821630, 765288684, 690068939, 352313403, 222701697, 988346977, 562927392, 683761500, 290525432, 645726461, 40679495, 463618594, 232044563, 562261499, 591542643, 480216817, 603505580, 840587235, 236337802, 186764883, 335536337, 113072064, 604468985, 40058034, 870663440, 81733071, 486802668, 384890701, 443764963, 677241050, 56249540, 471884446, 462646481, 620174218, 349728049, 441532578, 309070380, 58268238, 529633260, 338261973, 63565086, 154480063, 71638770, 838098231, 201042539, 585459785, 302741145, 969637667, 626242866, 691915447, 514708332, 465606153, 468561114, 740558380, 52102678, 53644179, 356462146, 58253716, 918644374, 115722343, 929154863, 656212177, 525975939, 133527040, 453656070, 84097424, 556903574, 926610626, 564499236, 715513991, 49114183, 603484514, 928122885, 210556678, 485338726, 623149659, 490713745, 86867867, 394883865, 418334673, 667101544, 41794986, 673632058, 707617170, 763347616, 793572168, 406151962, 818883741, 964923422, 537388663, 702255211, 800766116, 101278506, 989795625, 958854967, 418549854, 640375469, 104978782, 425327609, 203528494, 327022161, 527987114, 326735567, 15593794, 791227673, 241150071, 330012733, 730738620, 832854377, 830204392, 724967690, 16471897, 616011050, 687336165, 713200655, 165167995, 182133124, 176568493, 431692960, 321783101, 856003309, 943327501, 144167625, 646894869, 325142180, 741185248, 42026832, 180112960, 143296012, 17983380, 459333438, 321484168, 886740663, 661296443, 475503403, 375620223, 317388745, 984231132, 372129810, 725660832, 74883177, 514462654, 933618258, 239436472, 399926409, 659664229, 587133613, 421428672, 82123937, 405392910, 485416338, 245733506, 155749169, 518347950, 889988349, 750862373, 235658914, 487873352, 936301477, 673367039, 3744476, 312448868, 575560935, 929025991, 686529101, 764045348, 870063339, 243701947, 46149716, 770399883, 148052133, 573613111, 541756363, 188982830, 467492118, 922095873, 158994555, 148457074, 711375750, 508437527, 280039718, 618269476, 699546541, 767671431, 636885237, 874666321, 256861491, 184738688, 517813397, 770074545, 129319528, 658153434, 735208317, 848378474, 545882322, 478916031, 791056633, 264833321, 839639649, 166397837, 79154968, 874917251, 340229964, 914971082, 437734844, 70763438, 376809198, 217336168, 342635024, 600313809, 407257561, 450739080, 229851494, 394565457, 292921821, 73201143, 461468105, 20683034, 185391034, 796553397, 191691824, 889569223, 348537467, 666887274, 740984656, 496420487, 946218219, 279943961, 337847257, 642716785, 938012261, 947126638, 293472223, 6853201, 500024576, 557579617, 774194436, 341604837, 64522216, 424998991, 911056852, 835800809, 385190970, 101341835, 429501012, 714712746, 413945031, 656836328, 670421116, 855323592, 527296686, 531902983, 726583011, 752132134, 787387869, 113726720, 65773883, 239452044, 628963805, 444746046, 757326595, 655429142, 147917151, 940104273, 782292889, 792778335, 182516282, 245337938, 639088844, 511078281, 691871691, 927493999, 763299362, 511799661, 577520650, 478824143, 961247666, 108758482, 922693704, 318430650, 23774529, 14815898, 619877237, 939573988, 737027925, 490883271, 76661621, 974339810, 936844288, 149021067, 551615295, 283265813, 371474154, 580838524, 251565705, 861666706, 76276418, 595278132, 108767054, 122505759, 657374792, 502290358, 165108036, 306541638, 370991590, 844011315, 440205473, 659603378, 565477491, 866000968, 443037598, 42640126, 943213111, 343185305, 62098379, 749803486, 398964403, 563798679, 127844554, 630978417, 814142843, 116534069, 301032146, 606037151, 262053961, 312409123, 662094667, 680595509, 291230393, 411224718, 30002813, 832844214, 779951967, 86189698, 982418104, 485914651, 200879493, 380516057, 970160877, 561665144, 392718010, 433336958, 153489251, 279216939, 372050869, 854933703, 184869664, 179082821, 864187943, 167333047, 679171604, 342168795, 46305694, 133766843, 318474505, 758299548, 701064981, 15351785, 395766713, 557538075, 760540930, 91091692, 750637706, 663709669, 580128284, 920002310, 112528280, 725981303, 207624290, 17866602, 848919947, 276677938, 361948481, 96302837, 256742278, 586381567, 618390516, 890808562, 874258535, 521050272, 542692344, 161127638, 149277684, 225925476, 71592079, 86224677, 606354662, 1359784, 60931459, 467806574, 334659208, 960376185, 60032566, 390091012, 369043539, 805722202, 476628711, 941673649, 268428342, 224463005, 169907601, 656392558, 906229539, 646334981, 70270720, 328364099, 639605063, 280212543, 912467907, 324971838, 153777957, 913630477, 560870849, 240298894, 814330379, 205383282, 641760334, 363722593, 69837834, 172809878, 446316780, 772027092, 708344159, 864374269, 195774083, 14505393, 690945756, 633223151, 61096477, 881734101, 90905653, 684675302, 786390648, 907272451, 624122103, 502934019, 281543411, 240041796, 398457215, 827096929, 273615457, 408189042, 252327484, 806503217, 78483397, 466584192, 654048051, 538303266, 407582589, 352089919, 299052818, 252819414, 762216813, 68565372, 794341730, 463962909, 513562642, 560169752, 540083927, 501673845, 650225326, 317909362, 976440511, 292627398, 43854890, 417987478, 351729685, 572199574, 119384876, 303784656, 3935687, 964624063, 200254569, 391969730, 388526743, 582110362, 473479844, 132116668, 826093618, 842587090, 230752332, 540618618, 358167451, 563259802, 694737016, 648099449, 34532892, 458514169, 694532678, 65506741, 962059417, 344900593, 873023359, 89458129, 288020641, 955084221, 336229224, 594034855, 943529529, 736010414, 281170394, 649947636, 689958371, 342664110, 448302606, 638913052, 829788528, 128805900, 592264316, 708042352, 634957532, 295369056, 622167982, 215371606, 39806602, 869494830, 391114782, 455520735, 773342829, 262394886, 678038231, 661551635, 479873124, 828333087, 214582282, 189069815, 318044445, 801014194, 284082800, 232415889, 151344286, 725060191, 447922746, 622685782, 115748661, 810224392, 291122373, 647319031, 631065926, 918713579, 105117575, 542034560, 793334581, 507121527, 260043033, 884862149, 761128536, 821163402, 737154072, 644298962, 467149284, 603670043, 863443470, 223332213, 557491260, 737622069, 86666155, 820459866, 492756342, 656456410, 500238244, 75554053, 263295506, 218216621, 878217215, 257860507, 88262273, 492254399, 387675100, 891040540, 897963412, 333082867, 265836381, 194407491, 744637434, 391294459, 809353264, 762780382, 64832258, 338062011, 470040203, 4009213, 500631374, 741243312, 779509557, 492357834, 542936970, 625794478, 939845814, 143867823, 812663566, 397563416, 924826282, 620632838, 939874596, 180562159, 964747116, 488489155, 199164773, 469186575, 470353995, 441514559, 12830066, 642945923, 794258648, 217962374, 689242968, 551401957, 760249867, 152138324, 254341133, 189830026, 920524378, 407153927, 491301312, 646849770, 136923764, 33143185, 769157792, 44265676, 938589327, 805688306, 701642260, 261710881, 194176067, 285673952, 767817426, 456395010, 684454009, 355282491, 884650312, 859569066, 141914772, 946025030, 812944244, 372994397, 634983976, 780726202, 555178852, 400664130, 389485698, 5482789, 263801809, 972699879, 356000619, 899476265, 291278987, 696809429, 364651264, 855787300, 484542862, 220769114, 801751221, 511451930, 578435259, 596614547, 702613380, 985081229, 925575646, 662252739, 655036117, 778635914, 927359272, 25425434, 377830153, 352625260, 729747268, 687501785, 717980991, 874871791, 338258900, 205635790, 836777528, 975857914, 769077205, 638539459, 122739054, 874683377, 102304544, 604308856, 597344041, 84287776, 493618054, 558562767, 648026090, 561866199, 201553505, 85441767, 672423598, 90179469, 307931298, 325434873, 731484491, 459703868, 435705316, 784387915, 545384518, 776901476, 424386203, 371327346, 31288142, 25442480, 900002095, 784068122, 147622697, 21647647, 59738181, 112419068, 590967575, 888862589, 341843497, 886067466, 411962846, 215061741, 715672008, 237415990, 9746881, 289913999, 241731244, 852829064, 96528216, 603347096, 14398554, 385304577, 53467603, 30243285, 646858473, 544133241, 362197002, 331159497, 655434355, 736429192, 248767923, 697636101, 652061753, 723623541, 114422792, 354614467, 389767792, 975330147, 733094550, 892654737, 481748809, 355412917, 95602166, 74014736, 555150720, 452660572, 772002207, 63700638, 921619045, 878295211, 990918787, 238355255, 95385251, 638571946, 501951889, 750743054, 699396472, 849078591, 190353747, 77790864, 977343510, 936871772, 295038760, 746967104, 839523183, 935166161, 790536266, 189029506, 278861001, 356488416, 995875300, 870268076, 541535151, 431731831, 221984490, 746722906, 213622200, 76910324, 530209127, 418458240, 751192568, 889467789, 616108636, 95732237, 406260104, 966453697, 287936378, 482790935, 27734855, 517986404, 999283099, 669811582, 760262942, 907836269, 970556743, 312915236, 444065497, 865462304, 843423798, 89161073, 682551540, 204877621, 913124916, 588333694, 297403731, 610902349, 355793447, 182496368, 286272652, 194329039, 438892959, 348860635, 880618569, 626640320, 413513638, 751359068, 956839421, 738328573, 574271021, 266008860, 383149682, 197312503, 688149067, 290384672, 915899594, 130427330, 282742505, 886506149, 201488098, 167895609, 669746834, 897637956, 570960924, 785486924, 386775320, 128603468, 83793700, 705911929, 998276116, 128670396, 543349108, 670732386, 151829741, 43193976, 129262986, 774689216, 895587689, 711536001, 762108862, 909677500, 949522973, 702351275, 424198719, 396807064, 197710589, 513897924, 985299046, 64769814, 31974864, 947869199, 22933592, 457267985, 334976277, 652550636, 49878909, 607444129, 443815243, 864727468, 719389792, 858151049, 257895499, 27060872, 617814819, 350188941, 663640429, 588479712, 699357870, 336398142, 455129307, 510438721, 876717083, 162200637, 152705495, 184585887, 900579906, 66251441, 36504593, 815561438, 580587588, 362417268, 532994023, 676661094, 585052934, 619800981, 829126911, 553386709, 466201807, 970129910, 462548233, 283688667, 193323320, 635302287, 437753627, 918578845, 890626061, 536007441, 988831289, 891558528, 559405764, 119020836, 525450748, 933869879, 927995150, 377746070, 858628370, 613509911, 626411997, 830417021, 52130853, 590509436, 783583442, 925053370, 887542279, 449282987, 675607039, 632805285, 626138232, 169071531, 831329039, 243431695, 971049457, 677630232, 747911043, 19729834, 252608176, 311275805, 963375483, 70055219, 668376734, 738948060, 451069846, 997998233, 285308450, 12889275, 639494014, 141865579, 938034205, 980199125, 603347856, 680693939, 749524387, 508218632, 67509512, 159772484, 982086714, 619375349, 690368426, 663871475, 248260384, 233397250, 599875892, 570612429, 260512743, 295083251, 585817685, 476100019, 689149558, 289284961, 565587276, 30245563, 136223304, 737246297, 802455624, 716909424, 383473777, 895918845, 828336780, 371878223, 279109048, 652140009, 912671880, 5051642, 635291450, 434052018, 173173438, 982316298, 440193070, 648082298, 351420879, 827536354, 52031930, 375214524, 625593681, 898479373, 390713088, 680824567, 261290067, 416052793, 954841593, 402161974, 475076450, 176224775, 583037519, 266115318, 666634439, 543253264, 976032253, 462713264, 281649847, 878723115, 748469233, 87087922, 229802340, 34608902, 480220675, 778423760, 870014672, 393045653, 839268220, 399520508, 286554939, 447866797, 693279533, 514306660, 162363220, 47117927, 82037214, 990604358, 367097064, 814694672, 835465473, 268729872, 791568160, 467278201, 550083576, 896161117, 529775954, 324812669, 335944836, 819209428, 588588556, 618521210, 91213046, 705375079, 912231038, 63600173, 134773426, 190900092, 6456499, 157169722, 473593087, 709198116, 90524967, 329957185, 616594118, 176412862, 829082205, 837444426, 923503799, 723625860, 685243892, 361736373, 210828135, 556044010, 628011388, 233978752, 401551127, 767872185, 995949976, 275913848, 217045412, 678651646, 3981532, 820460570, 176941227, 318833606, 529921086, 354114745, 289971104, 530150500, 64241668, 960814808, 737582380, 853465117, 343372647, 908821099, 529345298, 748275402, 595602541, 553067027, 487109877, 124856792, 547434064, 589469647, 672060999, 875580601, 268261496, 79183330, 84720692, 894559277, 285179638, 255997848, 153887222, 811456385, 250950583, 802025285, 910450107, 430004758, 18921785, 335274002, 714587760, 408944501, 712905480, 530754968, 304590543, 78000643, 23675883, 452030185, 68958464, 368305647, 969921263, 829016341, 715133654, 965161937, 98694574, 548066475, 728055933, 731989315, 384163449, 762467737, 101393330, 575099493, 15851084, 461616413, 804681234, 732464930, 28442421, 186249276, 871690384, 814207523, 923745992, 847360143, 129658939, 463845160, 874543960, 749976844, 127868007, 851522791, 913780219, 381147861, 987785410, 779422572, 252428464, 993269925, 812398347, 416713613, 261067128, 170343153, 196496897, 50895776, 273708852, 801793864, 67611529, 655793256, 236957846, 720310989, 240747922, 816377160, 578396687, 284935700, 147770240, 188672303, 142580246, 88251136, 463124928, 461119331, 172523562, 341958548, 696532302, 763173939, 680174198, 489484590, 331712216, 683578482, 299306413, 127346185, 454246286, 478455564, 778563688, 575788118, 965676751, 428605434, 735898184, 527140236, 150735969, 27463651, 248358835, 265956286, 401173059, 358692046, 890783059, 62079301, 85430933, 558838803, 933500759, 262119687, 209960465, 576362074, 28884892, 400990375, 605527303, 506234702, 440741445, 427199949, 294196286, 965083136, 624339902, 799773018, 950865324, 200273067, 595633931, 139867547, 189526218, 950831604, 612927636, 805134066, 36992458, 530605755, 294918965, 25064318, 506803859, 572085521, 596491091, 502177337, 700816641, 50214348, 787848803, 319776054, 227291901, 985606288, 356019795, 439759316, 589481964, 816920428, 685130827, 783954805, 970525815, 309608021, 889650618, 978810192, 711538786, 931483058, 173022177, 871931055, 242475325, 447528421, 478880983, 524262079, 710926241, 875977136, 911405559, 58158751, 574842471, 324809743, 92817493, 161090728, 369332447, 845977761, 199679758, 493136090, 708634589, 714393651, 217062252, 833176992, 621598162, 621046605, 733384295, 206692695, 963211640, 421966545, 491034132, 281405120, 675954303, 423340070, 823669074, 999577725, 190205754, 885144685, 702657826, 718740728, 218632632, 557436029, 761747151, 139173298, 190075646, 578331696, 432249636, 530336374, 535106786, 281619342, 865303374, 325608237, 722448638, 391597525, 936188006, 112783927, 943731224, 510068608, 159372713, 807932804, 740410061, 257827071, 981789016, 872837518, 870741042, 496300858, 566803717, 187903123, 979822602, 339376247, 485129919, 496453792, 404790296, 339729649, 155938195, 427523850, 868383967, 53394608, 226463739, 670325014, 570492260, 545667206, 701460116, 249653900, 414346629, 420273969, 777164837, 72486724, 464218366, 170527894, 374615089, 865067246, 14708141, 541604417, 723695202, 967690519, 467073441, 295959183, 257047020, 408403574, 121005292, 11722430, 922021024, 796380815, 464870168, 617679916, 84869296, 207949205, 439526282, 44549390, 523740502, 598009206, 350964640, 690275639, 670946990, 852012342, 876711195, 804094721, 199278656, 335768657, 382247099, 878537743, 407710885, 535705823, 684049386, 817478425, 342050446, 376257211, 767988634, 429418073, 433062377, 658392712, 776493678, 989897640, 38976536, 887788662, 602910609, 546316404, 929057299, 349644634, 438187392, 25384066, 605652217, 723459198, 343327008, 821455527, 227351727, 8918525, 759406388, 530855527, 638658347, 237021560, 325040584, 314975266, 985296565, 41673603, 14321380, 369672356, 230040537, 706377916, 705636376, 518147391, 404654084, 621880137, 758319485, 114660733, 509137063, 234073312, 447644945, 780514950, 458285840, 406591426, 572136119, 192449265, 113018312, 473650396, 535531065, 938969623, 482988444, 584437318, 275936143, 577905434, 146011379, 482837470, 30393113, 95819645, 191990444, 877877479, 640585059, 493431648, 745298944, 15404396, 184800509, 494297753, 696696637, 419198308, 437238658, 438561693, 752099826, 251999983, 285389885, 830903245, 95167023, 435700747, 207892669, 701748574, 896206438, 983993604, 694154385, 768499443, 37897269, 12348313, 379657233, 947894986, 601589732, 722447049, 272506549, 383174892, 184090618, 184295368, 569779223, 270667154, 653819554, 837977810, 575211397, 561068671, 411555227, 172143860, 434118365, 333693987, 862585191, 975542568, 649295278, 397888525, 595144798, 417725402, 858527040, 157870779, 42582991, 976031725, 493536332, 471695089, 299711084, 136828510, 954661529, 223211651, 800325297, 221855684, 207382985, 944610623, 115654998, 786420523, 997419538, 867489176, 435798537, 211456841, 188223981, 666929783, 56681695, 344349997, 596562923, 273765707, 127899232, 229955300, 945318929, 691615993, 106423319, 875489218, 773194455, 341662702, 840063315, 742800414, 932954318, 611845960, 552342349, 619952123, 618209559, 915244647, 804762247, 289720860, 818569523, 164893994, 2580834, 193886937, 868479401, 868173285, 250739786, 827519380, 293036423, 112040144, 657633554, 911125499, 936136325, 341577972, 474648436, 629494607, 152759492, 737073791, 370339489, 17750565, 599611758, 764842883, 674490900, 107009347, 387855165, 632426749, 629733332, 988495776, 154392544, 284545084, 837155673, 5071993, 999320904, 972902891, 895176911, 30413211, 91281021, 278860344, 899264968, 788128652, 490812337, 655063087, 23447359, 551708783, 612226556, 489694490, 170215412, 557481040, 455064796, 787467635, 74689831, 783779371, 823398890, 718355254, 499412471, 58939436, 568604541, 345749887, 859306826, 901839612, 683904626, 99064861, 296533154, 81246277, 30946024, 800299297, 907057536, 631233749, 911020322, 124546008, 158708981, 63919872, 990193306, 898411603, 618563169, 972314541, 308647828, 855569586, 754135141, 324409434, 502215168, 799638483, 272320670, 533387092, 637103364, 719820010, 26950750, 619882604, 685582832, 368149432, 84004494, 116342909, 282619488, 651694783, 217623751, 126475475, 544419428, 161974110, 482123085, 242719944, 844235645, 618652417, 408370382, 459405138, 362485424, 837165414, 316402022, 312166462, 231958943, 699706833, 638217344, 333481695, 973172177, 83983537, 609706486, 743564236, 269603870, 346854147, 225832521, 787705712, 810940361, 368993161, 935055237, 653244182, 333822770, 590681483, 253420700, 609446654, 420820519, 406405512, 440298577, 502777867, 190238133, 619962478, 290710283, 234160674, 114277790, 206454741, 737710056, 966498373, 171901212, 180075735, 573744895, 93495885, 500822191, 933199820, 367110595, 199666747, 590601473, 993191321, 414516594, 508839014, 599255286, 620591837, 341622764, 488082133, 36900762, 991459757, 795721541, 355822293, 792607269, 780806314, 479051126, 101110971, 110671866, 294600188, 516206110, 496505464, 981876814, 789451304, 689002828, 632969598, 775036490, 324212542, 579577818, 319109299, 2182556, 191933146, 464566042, 835512509, 357084213, 450595979, 566038584, 544850951, 688782648, 831982643, 924910302, 179882912, 921527278, 411385633, 222461576, 57741363, 461065886, 836576978, 848497600, 577771024, 272229778, 18654928, 364783560, 182614593, 564602136, 533911524, 647134181, 784684764, 929714595, 800928845, 310949690, 116280549, 428710629, 571668633, 472617526, 902737026, 211522710, 987525482, 133132092, 204215307, 472290569, 229849079, 623982957, 719977208, 168287680, 852021118, 547246675, 704564432, 265035230, 43913232, 287572553, 634658850, 980291631, 640665145, 921233424, 18350031, 891609736, 780746257, 236386289, 867197947, 292843667, 153698354, 743069386, 212625398, 727871928, 283226620, 855113407, 907196575, 535539218, 978664074, 381411235, 38299917, 202306241, 541858260, 570841109, 377977074, 829999593, 367360142, 101971839, 659730412, 268444278, 126416702, 409237206, 149152406, 989393648, 124234454, 840685151, 403620137, 400498870, 671461411, 980295708, 288336605, 946846647, 949546994, 422757248, 537741789, 310772072, 681474738, 886237847, 686128223, 353840926, 522127783, 323307365, 564161355, 570296496, 214558333, 246166173, 618956923, 455946972, 380957574, 908172637, 364783194, 451545120, 624919547, 643843788, 185155356, 249616071, 634008970, 801653342, 830719864, 689246389, 374836366, 869109573, 294407124, 774583375, 616881676, 690628588, 925825189, 255336298, 214632956, 124537026, 941407833, 495846065, 340572641, 44797188, 476135772, 511723199, 88321568, 3744020, 141081836, 701485724, 508087657, 51328599, 527606294, 108303581, 646432688, 529872327, 97032787, 907934562, 302354679, 629203216, 148675346, 875329743, 989974142, 681737909, 506766179, 556826412, 514961945, 140370386, 757110169, 13462753, 945905083, 334658465, 141225362, 885684619, 496240220, 934233947, 361113178, 633100304, 762537491, 845421721, 606118371, 787073043, 406054639, 810964439, 730910575, 188213552, 367359306, 260887750, 99908368, 679312131, 706431763, 408811303, 398079878, 647610614, 392711969, 665955831, 219774562, 272908039, 658300894, 187114536, 932536085, 363904427, 983081900, 172568646, 45792108, 435146202, 489694729, 792127637, 708626560, 883526780, 42428379, 746311474, 804061240, 274496315, 325973483, 583998717, 654896394, 804363845, 22291739, 39337047, 2107467, 161745704, 641590509, 954097243, 547741453, 903339081, 486314280, 224910014, 896363402, 297103232, 439430040, 68726540, 995834002, 954530972, 963514877, 683317288, 166591072, 448396849, 714281120, 581600092, 580876433, 439178817, 968536853, 514276226, 861086561, 779070026, 53001936, 531615061, 365765521, 125067923, 412341575, 381258067, 50537169, 336248079, 508907419, 21088390, 244380403, 292121878, 747557253, 73942123, 954026097, 824330205, 589153358, 277532141, 485252549, 131760269, 870452587, 84157081, 364082777, 756455335, 829233969, 58003694, 536333357, 913119996, 715689059, 385299691, 867388083, 678238898, 483573067, 960167258, 671333578, 36010284, 165009246, 471356051, 105364044, 888007734, 98505330, 227350598, 42386119, 121404061, 772789942, 750448416, 365828676, 865102638, 519189661, 937033850, 452753604, 660656149, 372255082, 225463848, 169026855, 43774834, 483203722, 798030244, 282071687, 868209981, 966653568, 343479275, 579878450, 394530494, 534049474, 247433306, 714483163, 221798915, 356124767, 776163319, 970577966, 326753647, 485359016, 519528439, 20209643, 187778268, 866397837, 211214405, 762936034, 587448681, 992093778, 793844481, 539376166, 268897397, 214126780, 305441250, 75668667, 58482824, 742292470, 282186801, 700937039, 264489154, 582947284, 80838762, 379878069, 83964482, 710032802, 153993613, 196233871, 808295654, 501014310, 731059779, 68757176, 140415635, 51610150, 119351162, 908392649, 354518119, 442080663, 198025159, 122424262, 110166583, 169061447, 707374482, 941210189, 44780290, 195481907, 597025936, 751882447, 957978214, 200787933, 841564008, 421780896, 25740690, 386404245, 547440751, 320078411, 701860506, 822861958, 124304338, 691908401, 499446533, 220096730, 666936427, 599331875, 722291946, 745374295, 864384824, 393635309, 450107019, 453278075, 63926956, 19130856, 465645981, 25961407, 733124794, 375503853, 208646809, 953455471, 563299726, 350587582, 424805634, 655918770, 321702027, 293058634, 989697142, 870127475, 528038787, 115450150, 777535543, 931254527, 760519424, 74027740, 13635784, 58218582, 996527107, 908823656, 452594815, 451768888, 97559108, 864356103, 622052636, 195570832, 140720929, 455761753, 17113427, 452472358, 179478961, 435824012, 950398558, 668325941, 272032021, 615686602, 808311434, 715651067, 174377813, 60365394, 377742351, 875549856, 612312622, 28130378, 138243383, 451453114, 267356858, 503668237, 991653297, 873037039, 625904217, 517169424, 154736882, 900639605, 668719448, 143516245, 108785212, 39631023, 812009542, 836992355, 28298176, 383405029, 912458920, 393770320, 642851902, 395069152, 290303980, 637418112, 527285856, 659024956, 738182137, 458005193, 940577301, 67091450, 885401890, 653803785, 380137078, 881837920, 500492343, 780204642, 659859031, 474303266, 761421389, 349747443, 503157161, 761249009, 944827112, 509423709, 873298442, 821717920, 267319364, 328944004, 689290205, 589044084, 892553425, 911561884, 860840314, 853993219, 396408205, 398079164, 696689918, 585979524, 846013177, 318295354, 516123355, 700100848, 373546495, 462945963, 655030919, 70981359, 259462542, 670236809, 93613390, 456192738, 948903343, 718356070, 196993427, 359528558, 268991923, 300600500, 788994995, 943206968, 545087299, 465284809, 321309617, 99268435, 586865063, 48055334, 150036204, 931696339, 423343261, 484426917, 427412908, 434234198, 272743304, 259899330, 296761060, 373984516, 996342712, 332197557, 386036185, 702394889, 390460731, 779584686, 485768416, 256260492, 811128850, 60849049, 499449998, 172955466, 503926220, 904744626, 365482311, 608782289, 425574202, 963533197, 37485566, 987145743, 847946723, 990918778, 154260906, 47273787, 207378175, 668920406, 148100057, 147185149, 834086274, 478391782, 638921439, 788803371, 76266921, 631700596, 760704667, 181381517, 738067681, 45181563, 455965557, 353704446, 222316617, 857055610, 820088703, 945213191, 506238651, 768167304, 915006478, 288916475, 91416901, 446471532, 516297678, 290094890, 742052261, 350529811, 707277277, 319247473, 72571808, 500799323, 758631940, 863369924, 11266170, 807800476, 339631343, 526222586, 148553315, 556966035, 399652962, 342890555, 449509988, 86445637, 563654756, 576127354, 404725597, 469610944, 608068965, 540545348, 367236443, 714114241, 379592937, 290259177, 619881886, 216835874, 86905138, 332253769, 36659528, 367043756, 87959195, 648469392, 48965734, 231864605, 438873743, 598607244, 537628130, 134020880, 971645059, 674478177, 462502001, 837449651, 815274607, 41865964, 332654136, 290508408, 813908616, 279727898, 581941718, 7823284, 967859940, 918174821, 561745017, 910497992, 433266171, 766898853, 844888701, 83472065, 880065196, 898557867, 113082233, 937090092, 91885958, 565643610, 998501781, 913245937, 421758233, 972634121, 206662083, 464513648, 815910642, 653545774, 666334321, 495593213, 100242510, 469267380, 267352473, 586995995, 744093191, 152263722, 250031731, 11153, 110128285, 190952838, 427862391, 428368479, 633893845, 382940783, 771869067, 484293273, 689744126, 121706499, 942489305, 70080257, 796998161, 377066978, 212420199, 660228575, 952170753, 132840969, 508855167, 936249382, 146662761, 957462551, 7942588, 579987484, 596083794, 579534845, 495065006, 460028333, 939129179, 909457599, 851477029, 992068700, 124001483, 21940703, 91592655, 517048540, 343760285, 688284609, 841928403, 385662358, 242570178, 542523297, 194863701, 780079054, 371874400, 286331196, 462149519, 136886264, 154938333, 836711125, 496734396, 208744931, 709490181, 426484854, 725269618, 665876718, 911892820, 455400199, 707619974, 355850883, 379749823, 481626061, 454864272, 76498440, 692925876, 593123857, 678242983, 386781633, 909695067, 870568688, 330492999, 191771292, 762942868, 932625871, 878593090, 9653263, 466099419, 374103418, 999467176, 504109765, 614069052, 904882529, 566046275, 452574155, 679542237, 487487686, 670969655, 990914847, 728486219, 404331556, 86944462, 944837518, 267923648, 401634565, 736736972, 433931499, 823447648, 108038892, 380154280, 561081242, 971585640, 501152218, 829610234, 491687523, 802620296, 499958895, 480126804, 336765539, 522809545, 996276021, 833178374, 721786968, 294778131, 992325829, 935451973, 153819989, 509689040, 201728679, 443559669, 422432551, 113388213, 724375477, 377149605, 973345778, 605813569, 826504658, 954802549, 819710027, 453858863, 277235560, 154370465, 924770907, 744185799, 541099146, 124914929, 894442597, 305598208, 470569789, 247198711, 413243567, 197849708, 146596556, 179360005, 413481102, 103783442, 681300303, 104153603, 340618522, 79917284, 641330658, 690751491, 938832103, 129331137, 591882417, 850285938, 745428229, 890461572, 705132936, 158164802, 103883536, 505897949, 871971717, 745965781, 412841821, 547559505, 212064718, 802232916, 833196985, 75552472, 916269495, 708257845, 490088334, 770725418, 706166973, 648236087, 603239738, 12194743, 382975162, 899620807, 172251639, 570201933, 348517684, 121204380, 24012630, 741170901, 889989534, 350154860, 545728669, 845256522, 818688449, 658647351, 128728758, 164582188, 288876014, 690828200, 958678752, 698130303, 329564441, 810062630, 736221328, 667114760, 975381913, 699008486, 59729452, 330893226, 129580215, 821558765, 435274725, 602228634, 690674252, 17913203, 184076174, 856928278, 67714707, 423951463, 148706337, 169227737, 469223228, 75702307, 560699038, 982201991, 2724609, 968528661, 398749272, 715386253, 703631548, 698483014, 13794642, 873732846, 587626512, 882803420, 995026339, 353724121, 229256288, 649600541, 37713757, 125884066, 817447936, 860383675, 702204914, 115990556, 877048836, 9469403, 754101141, 483202752, 811339125, 623393545, 698042480, 754379407, 117014550, 338934313, 448269748, 497366479, 291958148, 495552981, 220662864, 898126305, 551889487, 789043568, 592550649, 614888080, 204912579, 18823413, 506581027, 992457717, 532356157, 526192364, 457426084, 952245470, 800143002, 880931867, 485725043, 558207744, 853969417, 553850779, 565962734, 390378126, 794408768, 206194146, 409862992, 161288802, 154263751, 893075618, 882089811, 115993229, 473554195, 192267861, 452434112, 684499669, 191363005, 774686205, 864800042, 451946743, 414905812, 168294710, 209141588, 201346786, 134415318, 865296860, 296296975, 579886144, 338808739, 173038872, 761503897, 317220000, 793753109, 254538440, 491778754, 326426628, 361531183, 406042356, 152456492, 162966165, 743773483, 621828533, 582558237, 248406323, 870627766, 244095092, 200430156, 315958736, 49434710, 148675974, 412757324, 242772589, 650344744, 383622962, 45783127, 283238947, 743069908, 780339278, 683000764, 830043676, 146065876, 313995874, 870355060, 231760361, 242154300, 499165134, 166456310, 159468393, 589279058, 739791188, 791834272, 447669581, 386960086, 716926584, 541821101, 402397730, 818959761, 962295099, 336957677, 727946112, 811445997, 539506049, 751798355, 666598596, 13728323, 132203814, 267934301, 828927374, 820002843, 132924014, 279110496, 645674142, 477331249, 838335709, 397603766, 745127974, 575448696, 953120399, 977828993, 409468637, 45967043, 345612390, 335216186, 888819848, 781434339, 343297806, 237092541, 453053428, 761359435, 668514283, 922656840, 516723031, 455413707, 787884465, 273527773, 767104882, 961981153, 959445639, 869464333, 71712473, 693619437, 693736726, 381270513, 716849996, 340587831, 62250695, 448863840, 120455186, 268275347, 837349633, 933168505, 146113520, 414302408, 524609585, 432115386, 766891389, 306608621, 827672473, 522842106, 183309760, 462721105, 446976280, 365869505, 648679337, 279653976, 326122224, 704060859, 839739783, 542729854, 622583293, 68163845, 393085175, 389591174, 635494202, 982547984, 378419039, 379196511, 308259705, 149627196, 844175542, 239685054, 823469706, 507695572, 377613488, 747201789, 766521594, 717463642, 824783807, 928956986, 789898655, 510104437, 288086429, 791700040, 510015724, 183788841, 77904465, 542664714, 690293333, 558158061, 872550315, 6383112, 984059246, 102613720, 649460857, 985643582, 988058928, 639269139, 240527813, 873596162, 14270732, 672926056, 582703801, 93842119, 966552892, 113754297, 407310234, 368501132, 363680523, 253798913, 461683712, 516887665, 197066964, 340998035, 218315513, 351306041, 982987128, 673859963, 517798841, 8669033, 191152548, 348996550, 763779851, 152255958, 4059484, 180639182, 335283738, 881632018, 721652402, 738904745, 13080287, 716907019, 895492110, 6315309, 230797123, 539132227, 398552015, 397390876, 259479816, 987039094, 79738884, 534117418, 878709631, 315114374, 284640757, 957702221, 253050611, 654167521, 933897808, 394581108, 713511225, 386021492, 602326888, 702904311, 916420950, 255751304, 582741680, 299840342, 214757414, 573646520, 276399639, 286362337, 591761009, 750609878, 462112925, 50133047, 681606777, 631615622, 784430185, 115538036, 779344669, 780110126, 375145594, 871447420, 30539700, 229960667, 976164059, 764909721, 204037110, 783957693, 909156512, 940104262, 291227645, 27925299, 686368903, 666266490, 409136480, 916337948, 537682872, 959297147, 209197097, 781570802, 475116991, 284175255, 593264705, 8417522, 664730397, 734919686, 138413602, 12270399, 432604276, 327366498, 925806274, 528776701, 811367490, 605385445, 541403778, 319964492, 40942881, 200431238, 995594810, 787999619, 177417974, 677265453, 263678381, 925897164, 940983468, 500106795, 708727897, 450484839, 722296080, 604805362, 327430574, 924750223, 718461006, 311986426, 613552907, 691304181, 399968475, 676136362, 266762616, 827223343, 524488777, 682635285, 364520553, 247494821, 838355705, 896383079, 27913746, 187333965, 379791099, 120945202, 996021486, 544054792, 181600708, 546110868, 744957167, 466234898, 641348425, 650317351, 848651459, 239000600, 498381679, 812190994, 517614815, 312411447, 432484553, 473295921, 207660605, 48196060, 59833697, 27908828, 418362272, 921138195, 127376516, 633701808, 716429344, 585234350, 79992884, 442187376, 5421384, 434588534, 395598229, 669190019, 515396478, 684602891, 781754032, 237046300, 869589607, 960628063, 120424909, 43318443, 923841513, 319283592, 771878669, 534588938, 428047607, 741484767, 910437705, 158127516, 788877572, 276410035, 270943577, 605342770, 650479751, 109471922, 679107142, 195290301, 130821246, 881872837, 613240767, 152136492, 514802202, 137339972, 906709429, 76410957, 168526, 455516635, 794269163, 83455763, 586268303, 414485773, 432402998, 827757391, 449307787, 217708317, 337675430, 138345105, 349920423, 406747539, 897789203, 226029221, 827999752, 864775550, 833366000, 557295192, 292392602, 57608010, 153522353, 326192159, 241951800, 664557479, 490090455, 603805343, 348562387, 495188263, 496261283, 128090598, 645058163, 123909450, 73296963, 534191465, 177643359, 220194860, 845176293, 790983288, 366121649, 17335067, 822590193, 951031239, 417683735, 177355684, 907833852, 422045125, 120230845, 231559907, 122980594, 57938289, 922726254, 776174059, 189253086, 320408371, 261033072, 99687162, 419838243, 102626573, 200054346, 631028129, 853887839, 679009060, 321206799, 708734300, 144190542, 893689633, 379544685, 363109245, 241378081, 740039738, 929856872, 229686536, 477581422, 654864346, 474785436, 827660952, 509068545, 295269690, 951551447, 981446914, 686105461, 237163676, 159997381, 677637676, 135323603, 68766022, 558306891, 433961828, 370991013, 31528625, 935407620, 804911255, 287217179, 338448439, 892614852, 307364310, 503458154, 61011331, 762592491, 59552215, 850395787, 153253118, 575270796, 238486897, 367722612, 522266138, 507425964, 959480114, 641439382, 394783687, 978019914, 644867269, 801579639, 700723750, 103042244, 101361338, 517678263, 521813144, 696084485, 941933556, 833765011, 972408556, 99806880, 859897950, 738532286, 707586008, 197242096, 427096653, 483402828, 136053581, 581817418, 121920079, 147850304, 696818543, 636499283, 806228352, 950733810, 606412478, 190478187, 822898970, 56843381, 623558662, 791466368, 244932110, 787875732, 394279032, 472949015, 90558355, 164288909, 337534714, 329526757, 725253998, 794318226, 418093424, 583249440, 415211424, 923294013, 217994771, 799611946, 935801687, 549927280, 817019084, 664125294, 556125462, 488260530, 723045782, 417978419, 62933416, 517725233, 136071639, 50912642, 899813488, 277643437, 612758308, 391976800, 659105010, 285123462, 548391552, 700030825, 976094673, 966384944, 464656716, 151871762, 37094761, 460813530, 944537335, 451876658, 518396734, 224719037, 426411557, 123915442, 327621681, 707113519, 771031288, 27393800, 470524680, 668778083, 655461203, 470715801, 992193644, 186644974, 172132452, 722924438, 70043286, 66706750, 584739813, 54104091, 130173859, 343109397, 490846227, 57908964, 856084525, 970226844, 824359108, 973342568, 667645118, 958010249, 116383757, 651061606, 220200311, 633337876, 961418, 560455304, 657121774, 12402945, 414233562, 127079761, 46320586, 262533732, 560561658, 850839618, 855835448, 770202735, 102952171, 838629375, 336687854, 625459139, 339985846, 920569099, 994043313, 586281226, 57162969, 299775573, 54247414, 456217868, 480512009, 589427878, 806494631, 782986063, 660883619, 502320205, 600054744, 793107197, 984095367, 463038851, 32293738, 523459407, 624767950, 968086608, 391029024, 723503053, 266992763, 99754029, 765620390, 822909347, 906950845, 23155549, 65952427, 752338006, 61680591, 232941952, 726349655, 668231440, 991595750, 63437411, 186906923, 315033927, 153969652, 924332694, 524420734, 130738105, 994094876, 955262908, 517782667, 657122441, 320270478, 43972352, 561886671, 961403513, 977007523, 60467640, 192725497, 583129215, 644342838, 478151254, 791424648, 119325452, 977408696, 118389541, 999656200, 281636910, 593792526, 143204401, 740047217, 824089947, 71162730, 650457494, 537042431, 844476142, 215382336, 880617131, 767475365, 126250075, 472306731, 833009941, 641085774, 848704434, 150823637, 741370626, 898810209, 861865700, 841307006, 96037424, 707065650, 959914958, 896947050, 698051761, 469970600, 833108645, 928744615, 655812340, 870469224, 440310085, 952587150, 635739163, 595730288, 915478160, 995232569, 467652172, 240065826, 403623050, 569570644, 983117052, 247258879, 133812056, 864436656, 92179324, 523989778, 930090368, 482716219, 96329075, 813486660, 929333005, 899794518, 674353801, 840219954, 296281529, 93548949, 481928535, 432344974, 631239345, 349695977, 88341800, 946453682, 283357481, 875403518, 974809, 220527751, 863538609, 597890034, 180430265, 304999933, 221475387, 482506992, 886016216, 779230574, 235643811, 403841679, 289843779, 104441648, 101851623, 680746230, 538516641, 757939756, 160088695, 749508069, 16234207, 84731774, 486874225, 765487846, 639447578, 350752124, 769204284, 1635383, 421632659, 332350377, 871007879, 638932112, 583415356, 535811703, 272338948, 387586045, 78693690, 896228194, 615041111, 42097876, 113282137, 928930365, 176766198, 727796964, 888786724, 686105862, 301973878, 558387818, 904722274, 471032791, 307164329, 479964126, 844449107, 680186138, 581660667, 383758639, 635983302, 723355267, 665619393, 756625722, 58256211, 495856611, 301792020, 83944703, 134132850, 849718118, 130989568, 919291980, 291314354, 399537582, 872942299, 241522552, 765266679, 778489625, 966232604, 287628208, 86353495, 918399362, 522682184, 95416834, 60338491, 114633698, 608635945, 267034084, 905728425, 446255917, 161553393, 63173537, 575852475, 375830173, 480053566, 517095035, 90020855, 851046837, 242648259, 202684195, 134979206, 875598803, 976262908, 988428992, 560348129, 140396895, 455692505, 982567711, 518244456, 474334049, 468232097, 269187945, 566864531, 8468062, 6394145, 302310214, 211448131, 305781591, 413712005, 629241207, 261119487, 28829089, 875010301, 524803161, 580372691, 61729141, 53067615, 99868768, 293579407, 31791401, 111601246, 231086808, 305783987, 371765661, 979851030, 545598163, 644239565, 316617805, 602974321, 347442496, 620084798, 838277488, 62743509, 494386334, 383632740, 346519392, 958287202, 777907391, 949247961, 852872826, 491286878, 162920404, 454836992, 433827208, 814560440, 265394326, 248091504, 618689854, 129230132, 630475393, 494039950, 135346561, 89805417, 312386334, 254848179, 14894512, 187354450, 415232632, 56006560, 667179989, 292354244, 932418115, 374758742, 13903924, 502944877, 689426814, 290641778, 934770985, 209275366, 783552260, 189987715, 39699815, 970645055, 186728623, 724422085, 272029356, 197889677, 145596160, 593513376, 312474846, 846133741, 212751315, 143244158, 549941342, 916187119, 286142242, 132436109, 185368535, 307164701, 278333973, 69360398, 494923316, 192121575, 887425829, 455434029, 551520524, 931520372, 762722942, 434641474, 691846587, 335971299, 450630936, 512224930, 555062209, 908536874, 210795477, 390418938, 272362069, 203196360, 934600649, 208709892, 722616825, 766509753, 854484229, 862059956, 343223474, 578070511, 412802121, 363894881, 496238877, 189979161, 482530793, 785479632, 653471959, 584014693, 348027879, 420804891, 438770726, 426721399, 804527894, 486018254, 503479598, 922238314, 459288472, 92164625, 970985633, 466454289, 706541225, 160351289, 386516460, 322710343, 882414767, 615734146, 347530363, 62401614, 247216475, 904904478, 778705661, 120854555, 805410184, 283716702, 279494851, 793029133, 704379125, 231875891, 513582210, 988818109, 42646964, 669347423, 373190213, 115819910, 908996499, 196907340, 560872563, 445290542, 863797763, 493253029, 710466474, 515545883, 116922579, 718927082, 520032416, 583124878, 296780927, 822474335, 868094655, 832711306, 967382570, 56225180, 241641552, 771529859, 343601223, 649591839, 657724456, 752558413, 960194731, 212162006, 11086433, 710942674, 176330583, 604161164, 517467236, 62572089, 610692971, 831377003, 795980680, 295194098, 997081520, 956187001, 592831106, 517234630, 967804351, 779010379, 193925979, 258877875, 294712622, 527665398, 12337131, 629935377, 652390343, 928015733, 952506395, 828955756, 632470525, 657001679, 602116906, 929040718, 115087064, 773951283, 627631871, 746806640, 766837604, 629271262, 366790883, 653147133, 619147864, 349836074, 313187484, 795240016, 415470051, 341998331, 451813058, 941317089, 885505646, 945321125, 213961808, 173801211, 195352422, 683660615, 452050038, 506354949, 159727440, 656314872, 858683287, 964314792, 186543674, 321939266, 121423394, 849635657, 292058919, 840426749, 123461351, 785089074, 422576416, 164673309, 944913582, 225891260, 505862777, 762941234, 170305254, 951873847, 605734274, 236380618, 652899999, 108525465, 294674327, 460607415, 424280218, 641481544, 372968680, 386071694, 253610464, 798148429, 458992587, 983107562, 750234791, 177044547, 497889029, 201473749, 373727519, 836907914, 669989253, 970200815, 333931870, 548634797, 938528597, 898368170, 818405061, 965877369, 201937459, 792467262, 90105878, 546130687, 147082783, 71689351, 815280445, 947810089, 365944688, 517754089, 540487058, 996429565, 336328265, 4279367, 20595454, 228614822, 11620632, 442479024, 615654743, 85520668, 315089519, 145721074, 756758265, 528140140, 561800605, 187227799, 130124682, 386523545, 580889990, 197033853, 340575298, 549056164, 472634157, 31994297, 83609050, 283677772, 337527211, 937817717, 408434558, 539558439, 534484642, 89697242, 294447626, 549830236, 229738105, 277944556, 322388042, 609233315, 521265361, 409517731, 686593130, 269472125, 786533699, 406240116, 421720679, 337370486, 718564906, 506732004, 509814802, 77528981, 756112632, 901799108, 251370348, 613011132, 1533290, 823264720, 669546072, 561410631, 964928273, 114866610, 148673966, 517324244, 614013057, 146127022, 72150145, 937341683, 842778993, 595629884, 271926740, 745351571, 300916282, 197021984, 811352317, 267223755, 906263755, 673879445, 865907213, 57163750, 136547781, 772596413, 689814585, 611085397, 812727833, 143383814, 627611636, 265414200, 995940866, 301640900, 758651528, 84553643, 141798616, 70173673, 638935456, 802136889, 766272567, 786133214, 234506545, 472478113, 769904445, 824702635, 156844601, 947112784, 734020070, 518863403, 528967991, 877680080, 989802319, 993129370, 786128257, 371406094, 780948479, 935798652, 587519252, 805974960, 318683708, 998795986, 321716761, 980147317, 481406499, 485300820, 113113437, 350285413, 433824563, 714861899, 917671271, 770604630, 533350123, 530740401, 704612081, 225103590, 385156353, 787399617, 671906301, 959402965, 94630415, 940887712, 585572459, 966393811, 938429485, 227371661, 162794696, 4581021, 779493031, 356226531, 15097445, 866645350, 423845767, 934731703, 523589449, 533251972, 54110914, 519521425, 594388205, 407574971, 824597520, 833403702, 941686285, 35416773, 489744233, 975022251, 689653537, 865740552, 59505371, 684536497, 477178860, 389756938, 364371469, 552895415, 554468484, 48867960, 564649059, 623183027, 397565875, 434381657, 414455405, 982300248, 295347423, 248418845, 441682369, 506835718, 32245833, 151127073, 497295698, 355276352, 750000575, 518551835, 98401413, 699250636, 238580342, 539405631, 29722630, 739250072, 965273315, 52631324, 265087949, 279378543, 773796911, 431293528, 820929858, 792383838, 846307513, 320232613, 796824005, 592720426, 870345448, 173270341, 653604667, 856631119, 954155169, 394251484, 640731451, 319729587, 675327626, 350493252, 771829860, 250958719, 478420121, 832272668, 146852764, 407671414, 938797049, 848955390, 300763014, 219461449, 413524086, 670532453, 296964827, 246474964, 131004637, 103230508, 331193715, 293815069, 625062994, 917346169, 909380673, 795745425, 696233426, 929103970, 571950526, 477754895, 237732697, 716052788, 261858590, 966719082, 535605819, 251511137, 386763080, 545399661, 334299544, 964664337, 776539428, 724107575, 319427252, 890103224, 836158258, 399551825, 531194488, 385715230, 690991597, 45749978, 213703189, 245857709, 771876344, 653956789, 254732547, 40550219, 803947578, 700107366, 402698682, 589459652, 467447589, 944607682, 600366200, 97073290, 47486680, 162736740, 496123349, 920855891, 609380675, 242754473, 660098331, 936168145, 741905131, 464699305, 451918993, 301928103, 907709350, 706504467, 309452398, 778988634, 51715737, 468182841, 301044830, 31824152, 312750862, 604225343, 679052600, 955080684, 367499327, 846007753, 375619467, 488739129, 58421502, 285771206, 996505682, 137513535, 267638560, 968136878, 26364637, 124729440, 125937566, 766809417, 616466980, 328900534, 105787014, 994359061, 835088122, 379934816, 432497060, 878856740, 74765893, 676835310, 723331281, 763820720, 352485237, 679778463, 953035903, 738011990, 803672233, 802791451, 7873139, 397490105, 473996106, 954187249, 742532623, 466169122, 93896396, 515394048, 555052180, 441472894, 859853017, 496759089, 980038069, 863111282, 542119355, 472162202, 949630998, 398762776, 721824106, 26225345, 449331071, 307973019, 210881958, 365057165, 751119693, 640205675, 434517355, 868194771, 344701251, 23582239, 336077529, 802116200, 630453960, 465543579, 523547605, 374683212, 93548028, 402180941, 548348840, 328334544, 371017161, 441266105, 946866763, 301379717, 591360727, 997157221, 81135280, 208686697, 22027904, 229455372, 648432372, 319241519, 397663434, 422294579, 705406077, 148275159, 14063770, 885389552, 76025027, 821680411, 554833071, 333667669, 402340413, 891925756, 956110637, 87855126, 769187164, 154190905, 366584511, 358937279, 951862484, 339907767, 744302742, 764535540, 588035567, 498800364, 432503675, 368383501, 410642495, 896006486, 535353050, 376464779, 675896530, 829027191, 580153959, 708101564, 833128796, 926761723, 28891550, 38528110, 193552648, 411526491, 734326396, 356515541, 452563365, 541250929, 442751075, 440729291, 877380376, 577510107, 227830596, 224778402, 688608141, 937320049, 771790704, 475240267, 882638527, 425381656, 425511673, 639007844, 701175769, 98489894, 27351416, 100318291, 751847812, 498793170, 99389115, 329514932, 427400955, 724025882, 900570595, 368041047, 566169721, 506474699, 520886218, 554125202, 690439391, 991720736, 24511970, 557191887, 954243481, 382668703, 793266891, 189667065, 927023165, 797962990, 140814859, 538141711, 608305892, 300394857, 543380135, 14295727, 589990516, 759878628, 945880572, 973620552, 211589347, 675264266, 947023027, 661319328, 912695114, 261249434, 784993590, 63633715, 880259108, 974871507, 258966483, 579340999, 339445094, 562934265, 451902518, 946272880, 804870390, 480835170, 823176182, 178600516, 688435756, 406737385, 834104337, 591848310, 798710456, 928828496, 482194444, 244196633, 995473136, 37193003, 676190687, 942119741, 249435829, 238532004, 289783302, 786549283, 2257120, 678699105, 536576769, 763277983, 934679703, 695509039, 240740964, 240720672, 580797714, 203278761, 345566206, 660013302, 56809904, 198161129, 213386370, 789119928, 311808015, 595717406, 579297337, 60016309, 976591037, 60158170, 902064, 15880382, 761109210, 348036779, 14109877, 694243125, 588197985, 313657861, 648467753, 897503769, 700954394, 940277821, 257078044, 55415190, 733999783, 166464797, 78246114, 171898583, 454135721, 191108574, 34083353, 875641231, 168470204, 870091976, 684288028, 9456707, 153275183, 522721516, 746176481, 887924270, 330573404, 841768245, 834558642, 905950682, 840129182, 745968643, 580177587, 523910513, 19419138, 570501719, 619651713, 16092292, 258889740, 796361241, 760019579, 670197562, 630897333, 417951006, 283272279, 813793785, 614221162, 911976659, 593590255, 232594796, 478499296, 650916385, 658587792, 974173756, 147906101, 212154556, 222264042, 533175098, 920832941, 822451121, 414902705, 696318086, 952581337, 901909113, 92567403, 362099716, 667143867, 328610514, 961147863, 840029465, 461828563, 224186253, 740780341, 749106052, 92644846, 15302730, 499026158, 343549314, 221206098, 932999437, 862480670, 471381897, 678230840, 603163946, 514467929, 713321464, 334024143, 929411493, 167983393, 783190198, 675248849, 512505442, 890315863, 475051367, 421144895, 312515764, 754602120, 378953077, 133283645, 937612192, 688365286, 55865648, 980925067, 874564958, 357791832, 480976495, 96218846, 446561309, 316481415, 853054770, 142216783, 301792445, 375207329, 184060219, 209032368, 243627062, 648628051, 687237896, 855139904, 146218942, 908126067, 622840978, 751707552, 68304508, 146560599, 80732484, 10194546, 908679904, 862533742, 966743373, 763683391, 129584920, 516088378, 510798804, 843395876, 877863332, 517849916, 222690449, 795604780, 575300245, 388131776, 589296587, 23894419, 964333388, 390795194, 890635183, 794853936, 131597636, 415257016, 14544034, 914242708, 139347370, 382340784, 590659318, 55297208, 885091097, 671886962, 36274694, 559884782, 744683000, 134659564, 30193291, 518284604, 750070866, 640649656, 682208107, 374123324, 471980309, 13053336, 377917517, 521793540, 228116600, 255438699, 579747832, 904461881, 979731338, 739209518, 645943167, 758229396, 172425010, 520144309, 101274084, 507336306, 810645837, 225921400, 237451256, 908617177, 564292997, 228626146, 826344301, 378850609, 449772558, 508028847, 166300590, 728892653, 757570705, 921705664, 107127238, 470368893, 218418837, 326148972, 508085037, 973819971, 327615747, 792895490, 737968165, 976853859, 68854484, 663473516, 439635334, 489163943, 269554601, 435590125, 954381465, 448635301, 530394500, 887390453, 128281846, 51786737, 942594199, 717948617, 121694064, 494373398, 969644116, 769135689, 917975986, 9518210, 64294325, 319024771, 86939313, 555389311, 152514134, 819841364, 116629348, 302831024, 606267080, 466881798, 302374009, 430606363, 915796563, 823236243, 280980174, 175499763, 465352408, 314946626, 172469926, 111262165, 443256385, 877535834, 888468636, 44480204, 808523249, 933005397, 509181982, 771240328, 124324572, 691039257, 14376615, 967744272, 414683557, 526568589, 119615836, 898471937, 821896923, 817768783, 500940006, 667351995, 746417953, 205342063, 73791091, 301907128, 157832280, 771127844, 823464668, 7050280, 440141230, 447196165, 191804541, 452026885, 87347166, 276831040, 60045288, 734465819, 164560833, 199230799, 349216876, 428543293, 772522955, 347184953, 62340406, 54577140, 272726833, 794454806, 985751704, 341174474, 621985059, 692859155, 469189763, 321043343, 329478061, 343608954, 592782592, 879104522, 63173355, 413290636, 56255892, 929609503, 879749990, 702807091, 927760758, 746586888, 539058098, 127047623, 239033011, 555807535, 283062377, 272971449, 251977715, 80040060, 174738522, 983248882, 165602321, 67218160, 224964621, 894042159, 410101927, 520955589, 806873074, 308033648, 835263458, 11964240, 336858967, 198715807, 372278844, 843790923, 402207080, 241351895, 748877352, 702886910, 606916897, 769495286, 889412313, 172815805, 762669762, 296465696, 219756279, 323192882, 645319337, 590478084, 606671802, 251977841, 460687979, 434785849, 954050586, 841685742, 20399223, 683568183, 596291616, 222321052, 329184104, 520255361, 405636904, 680569303, 966936172, 2048902, 51321264, 408628815, 894248043, 436922851, 319754195, 727113161, 476616401, 857769200, 406587878, 924680356, 752826071, 230077605, 677605001, 264662666, 607106695, 586631397, 986808348, 469370556, 70085022, 426516234, 251182268, 414082164, 244381621, 330413331, 929098136, 80892264, 878086419, 492077920, 211750697, 295452807, 882560159, 873420655, 611155739, 37938835, 920898531, 867955246, 335742551, 169973162, 733695946, 899652780, 65354334, 513302150, 304859099, 944194106, 126428089, 533595542, 572286561, 572817065, 924129706, 512976948, 127706863, 655094408, 271484831, 59690887, 625625794, 719702453, 601881560, 26280177, 12826551, 434333704, 149322577, 946892, 228689746, 980028706, 612494720, 303269874, 805912980, 548784306, 248100075, 424988228, 434538075, 519525678, 163030788, 411733318, 149518659, 634610110, 963465495, 678635478, 299284051, 608728547, 57203784, 965957016, 348207775, 150465499, 622587473, 626159819, 727250521, 159473586, 310533752, 67604276, 6992121, 960546640, 497030182, 426800915, 362409769, 198309179, 950727197, 695291089, 858723360, 872424174, 694334802, 998242489, 153829638, 261957956, 454542500, 316850589, 133337107, 514296367, 566734301, 310276074, 732946036, 109393293, 504517443, 915565144, 729463989, 362313073, 791790612, 756466459, 516395724, 548841960, 484787855, 994349084, 273038906, 994344029, 463272649, 152190637, 324301955, 557013589, 537671846, 888951343, 569588101, 822295623, 376548403, 459744175, 585521210, 954883760, 415081894, 826748512, 275511322, 490179019, 713930620, 746237, 125480658, 355914301, 627386086, 359614204, 187679463, 458727138, 509337130, 720419508, 58203052, 598479400, 241316185, 720647261, 382379848, 134706195, 976724859, 494054017, 165646682, 567960211, 517333590, 395550406, 701129212, 138553764, 683192621, 856132938, 353182813, 57828966, 181110510, 465980733, 533815878, 264810815, 331412050, 695365486, 947107563, 326771338, 596304680, 22158227, 6670759, 990264379, 967329095, 936842637, 955347795, 662122280, 12693830, 604017445, 270313430, 91974997, 247320526, 617666345, 720259304, 58451946, 29744343, 192137035, 738404027, 511916560, 528845611, 454311591, 83679200, 366570854, 348963616, 870996352, 868643132, 705136876, 528773588, 944317986, 941716288, 170235720, 526696882, 132634591, 972883494, 545874471, 897858649, 831653916, 63034044, 865383685, 542396385, 962428933, 568126518, 856890714, 797913437, 327657627, 364411612, 755505612, 50236349, 40016991, 69792312, 738409476, 550599219, 105554865, 670576834, 77455355, 539797974, 990877549, 699145389, 31870300, 206738055, 253079346, 749151778, 922455218, 620775454, 130485804, 211003054, 893890126, 317507371, 518662031, 92822295, 663843101, 331004880, 646317636, 781547271, 757749220, 997994399, 824097332, 835179408, 13738075, 821404475, 59953151, 928145401, 646760556, 310421871, 43800793, 836234925, 531517423, 198561868, 73958816, 814908803, 741333490, 643904472, 342283273, 98136919, 911393175, 621890864, 511103918, 642836605, 748456357, 674186792, 686286317, 754140421, 383712724, 452194725, 938128470, 765609892, 9607337, 991986013, 259317782, 567677073, 328711132, 945159156, 115963880, 910713214, 342533198, 312727257, 460310499, 319021190, 195211438, 838290641, 995675913, 478638520, 678344285, 819357656, 415631089, 177935645, 715668543, 366522241, 358259913, 488403757, 284976732, 551858262, 343882609, 277524925, 513650818, 670606644, 174359279, 15423420, 209074737, 350967879, 172323808, 915013738, 975761405, 641999276, 344094963, 717243355, 397347308, 495044478, 352282483, 632105594, 81811089, 417307237, 265640170, 468402651, 778665612, 723922796, 786983335, 176544514, 621681549, 242168688, 793254374, 360102198, 414752517, 705913477, 901100375, 56003452, 37112402, 938276104, 515527046, 253702484, 859350576, 841699507, 679132054, 26112171, 897358843, 264580886, 253271422, 514363696, 389670369, 918288823, 58352290, 98953823, 203088076, 194384723, 716158423, 587504682, 320442818, 235576884, 315589357, 462633427, 432690509, 389525182, 910073710, 181551227, 961197495, 327375353, 945812093, 376634970, 865788441, 414864486, 963789136, 477369402, 184599622, 818835974, 467106331, 548651336, 765745264, 802851563, 792792510, 145956838, 684802090, 175885440, 48280565, 946953465, 177462135, 473299857, 669950820, 671489323, 54690604, 639154441, 619592864, 418238618, 716348553, 537845770, 424111546, 208853211, 825341873, 981584837, 884568145, 939064630, 312359819, 628189716, 980047108, 14986749, 570387115, 126856329, 667479246, 334356844, 999055161, 631580953, 526174432, 783242006, 979554426, 639895372, 296437341, 350160235, 50513678, 238876291, 931829502, 841688776, 405893732, 534237697, 396166044, 296984326, 952220262, 831646295, 414542155, 950434743, 530911894, 167290509, 233185898, 587677945, 73480356, 188731292, 737356128, 672516091, 964334774, 330003006, 66652634, 409632877, 637355033, 711157134, 216188909, 120949580, 99364819, 796376480, 127525604, 835306969, 782466538, 106381940, 767348642, 791100091, 140117976, 900004355, 928311389, 37896739, 824471064, 698658816, 75199025, 453832080, 964065320, 479441732, 48498386, 359537374, 556282640, 982926515, 152213167, 448569151, 34690048, 198255908, 606846508, 678582925, 720471076, 299754597, 920486028, 598023207, 906262473, 995533234, 510307266, 46475440, 28130763, 771228584, 826416278, 178212109, 928844055, 412294773, 546296101, 903272750, 463828510, 638793132, 271705431, 856304699, 102943141, 771301637, 886650807, 206898336, 282971329, 628560570, 216670945, 295555075, 751025620, 281973141, 625925863, 993680445, 763652032, 173031885, 581132074, 940958641, 365025678, 441970972, 66324262, 637762286, 398055552, 874160490, 216625476, 256441388, 849959895, 833494030, 217331780, 134901704, 907796108, 451872200, 589770021, 613447149, 900565375, 194883287, 341561845, 741538323, 202668516, 463251182, 545063407, 222918866, 317646046, 301717703, 576375614, 125144275, 204673009, 138500570, 465298058, 640779906, 637634004, 838794711, 615233021, 808921497, 72483026, 594072831, 513053724, 290130930, 670700014, 23522210, 984085690, 926940319, 227192753, 228353138, 56337011, 56130582, 767521208, 782717244, 300421657, 261685452, 115917502, 358950163, 172960688, 454893754, 429822436, 922614676, 326638566, 465280430, 587768084, 434296543, 779676699, 837356517, 637452633, 364462788, 838852413, 274874084, 670467839, 188786469, 602910269, 613534599, 539242350, 922434937, 825000668, 735778057, 480522814, 335710264, 577148841, 831093955, 647043905, 904410894, 404529907, 796907053, 424169401, 665087527, 401970565, 343938374, 378979166, 54674949, 390321442, 724951541, 756953391, 396398586, 701157989, 985834462, 906946132, 964401681, 894842130, 339321777, 919606116, 522192152, 972991656, 422386471, 200312331, 150905159, 766012621, 871065101, 72971619, 965969456, 829709813, 275019204, 289360907, 25430325, 41777150, 917816034, 916161228, 919043088, 559518624, 328444646, 302563185, 641628438, 186445076, 413663177, 959285055, 702307844, 27188490, 84628711, 275388490, 208612511, 880542666, 524337071, 803227066, 302186441, 3660638, 811639965, 686853810, 700296120, 22280092, 151041591, 258502789, 594767031, 399443376, 505987089, 792721615, 843728448, 426242825, 655605834, 827903434, 44340485, 196726400, 714808826, 990125736, 99866432, 264061257, 280881241, 227188682, 248562956, 984384437, 446242873, 687769035, 137956344, 454343231, 6120987, 96212152, 489823679, 520390155, 18258860, 386162393, 891731336, 601317206, 217664175, 584771173, 865039260, 523128650, 890384891, 626603006, 713050153, 19251700, 64360651, 739027732, 877106206, 433990206, 493855428, 281468583, 238090089, 260463297, 971410501, 948963573, 408414405, 777147169, 46181592, 680900763, 979645559, 405368904, 886874668, 711988553, 95086840, 376466356, 193693888, 307365775, 584122559, 300118876, 732987512, 726285547, 804008572, 166229281, 27902531, 576033161, 866725504, 817978616, 672959185, 434730844, 455524665, 404253779, 246680481, 997693045, 37745303, 7148668, 602019710, 13323541, 6024350, 528429358, 85528071, 945453745, 451614657, 750475690, 382128810, 403490826, 980002248, 570744830, 852022493, 894158274, 357669867, 836833724, 986707506, 578606177, 138309459, 66782715, 311024283, 750267030, 504603850, 696647334, 27249722, 30335445, 41206962, 349552485, 219904247, 290080942, 94646194, 219724512, 616850423, 177267021, 296273208, 511393870, 649674544, 254920253, 266848564, 844074547, 512575590, 574145542, 872113266, 781685688, 377778098, 653053238, 478809208, 707304328, 283760308, 548728323, 968079197, 725214811, 949963310, 846026363, 643764104, 769701128, 356507109, 306091373, 869376349, 320712985, 96587637, 728684354, 114907248, 947621925, 14697176, 531487270, 973996084, 379343269, 828055784, 891246854, 811505585, 437538516, 726970776, 697685081, 209332693, 992343337, 272979526, 278765567, 532593636, 764355234, 366879499, 312231328, 131716007, 144267521, 202859153, 909717019, 353834977, 258308116, 241303056, 819662767, 752210436, 459054320, 892455249, 70024528, 250148725, 211895525, 640459125, 683605310, 579068604, 335894915, 173563906, 843683895, 771944464, 69336949, 204862446, 496074095, 900619526, 728801523, 649083124, 467788876, 902571532, 671856759, 22746435, 2910804, 312938647, 38087464, 442067973, 14627452, 184726907, 165030835, 788722590, 43855710, 438098924, 900797666, 865558259, 205197759, 464827865, 492615690, 242201014, 754820224, 152786404, 549865641, 272628090, 210344732, 778357193, 768904557, 142995041, 151868529, 532237874, 694952147, 420647955, 8252014, 572650083, 534962823, 374099287, 165444, 580762256, 487817228, 247947122, 362709000, 666966489, 362249916, 184354943, 479511704, 414232409, 244062394, 62887607, 510068523, 944076660, 515690931, 744997334, 110677166, 154202259, 158476924, 122841637, 901295026, 191118209, 394703231, 88021555, 472651142, 853824098, 175298765, 698935575, 896032410, 998820146, 173306968, 437165094, 129810951, 675549624, 140232996, 244832309, 742859321, 578335643, 263535593, 305415401, 624142032, 795974687, 626985383, 369535331, 744188253, 810336102, 121464410, 493962958, 226919066, 661005490, 530149081, 693172790, 396491549, 275755026, 575898842, 621279928, 731197091, 658680863, 139297313, 754115331, 450591742, 835619443, 848990996, 521540353, 388823597, 918844422, 630332597, 460064941, 339854293, 395446216, 675209013, 41590497, 109357749, 421322340, 614860159, 972203967, 836552165, 871975543, 609456402, 244564896, 295538500, 117587950, 790275322, 513361267, 921859192, 152454863, 311452655, 858593458, 771888592, 246847651, 662064136, 754536624, 134420069, 746205930, 794783849, 141207430, 784178627, 376008413, 832329732, 254856274, 414638178, 723313426, 529195959, 18131049, 345741658, 979876768, 92082284, 45937001, 506645362, 877191769, 758163954, 859948021, 287935729, 648699120, 153564485, 108809440, 200584769, 722614058, 863285980, 140933829, 514570541, 440764697, 189356167, 565630937, 39341162, 881121036, 279734517, 272384531, 587056411, 847861645, 686632725, 230039656, 702659945, 289381904, 441639069, 505139807, 469700263, 39794497, 387067905, 679684973, 884533453, 182320161, 328981443, 865915565, 902458239, 762558073, 552436945, 625018172, 264854118, 638119824, 719937093, 266315892, 198681644, 833010432, 935214774, 269876590, 508818284, 236258999, 92937247, 617349146, 697907363, 690604641, 537807880, 867960744, 748835641, 36043620, 373878250, 699245657, 816705302, 926492210, 623863704, 472074381, 863919542, 974805556, 214956214, 126308290, 210758258, 763731087, 835366751, 958822268, 841685668, 802839321, 557783657, 710430413, 550149667, 238948248, 291930890, 630285196, 37125254, 99584381, 681609345, 846589738, 201836612, 113894293, 149387279, 515882648, 435338732, 613782390, 274253163, 78944885, 89919922, 953082172, 481079125, 894640433, 750201354, 67636522, 270383746, 280649313, 158795738, 676523756, 201922843, 153142117, 355766465, 613161556, 292514893, 688494123, 416850486, 316198418, 497562440, 645698717, 980463437, 586786289, 757263526, 896081017, 362867946, 296859307, 219095767, 562253455, 779917856, 364100514, 74840243, 749860007, 960927933, 516802610, 137156839, 977394680, 659271176, 586441872, 976015837, 139740216, 300332373, 57150028, 578649844, 560065874, 413012005, 383019623, 29400863, 470013882, 594803700, 199921297, 975946562, 769863257, 701064564, 239918087, 841950084, 2056740, 526112721, 306125780, 332576229, 869770046, 439416532, 729237644, 218396882, 842500268, 574994705, 743566472, 738536268, 270001668, 550210669, 957248209, 915016822, 651603393, 885122696, 57057087, 673572564, 102674974, 420778800, 231169173, 774193205, 974247095, 930558752, 889172169, 320838060, 151392503, 744986238, 934853183, 946187782, 666472109, 401489899, 722654671, 843840969, 314976232, 412979731, 345252835, 354055802, 676066696, 558218880, 922816907, 415202529, 30057660, 174410475, 504533022, 84614776, 961212766, 870210934, 482943352, 60410624, 984539760, 913816967, 806243908, 971013171, 52874268, 579361629, 20794239, 154708630, 908163597, 791438294, 869538331, 731397432, 292085977, 564574300, 381246053, 655134432, 515493574, 587375105, 254511157, 558864511, 572090822, 553008523, 58625498, 771342885, 682243896, 250751274, 353346885, 870992267, 211713122, 135036828, 7198723, 425405052, 124000418, 141570161, 55734534, 392534543, 142394288, 739252727, 648838775, 587849427, 315582943, 630361331, 324286383, 491072892, 326932652, 261114120, 979680031, 540282376, 553946235, 652639058, 559527751, 674721326, 764635257, 340321658, 902611694, 402678577, 596024254, 815865170, 178113743, 739058213, 26961127, 811765397, 63961893, 871339207, 811841272, 308876067, 964559527, 727905765, 990494458, 549075687, 99547387, 137004483, 377685136, 810477288, 227072345, 33185697, 502168714, 722537360, 856761281, 890371489, 122415874, 83969872, 647922300, 743074934, 750792359, 42457769, 823785658, 432597977, 289472364, 878966233, 581246338, 83477091, 652637422, 321085086, 715722191, 327265003, 757551328, 113813862, 96400442, 203870650, 353654673, 251947408, 41785737, 793138390, 823173432, 677068000, 470772116, 934975374, 105007027, 231029631, 249400066, 646913906, 864213872, 124633308, 925113311, 638062259, 284946934, 292853942, 870422265, 195491143, 439477638, 102695621, 156074983, 902123308, 944031028, 598955773, 833140826, 539883641, 269056462, 485543099, 254376262, 15333653, 545923333, 852896476, 33174296, 426712250, 895290414, 555185358, 72857748, 260559405, 180740931, 297842857, 718935518, 836913796, 208296191, 704490442, 167606285, 58549068, 225959880, 22791859, 362651851, 831674651, 821917752, 240151325, 259128874, 210135094, 619256494, 988201139, 570538950, 113633989, 215692145, 293207825, 260249880, 998551392, 308592383, 217879347, 127782428, 643724061, 820009145, 726214358, 525145647, 740627634, 169981222, 492460320, 490320819, 787665351, 290708634, 977321072, 484166473, 596574556, 549556778, 130290628, 438120950, 939127532, 395913868, 623316105, 393685347, 433407311, 936052481, 885262104, 996964549, 465960310, 708579207, 37163633, 708943714, 884975533, 61591400, 325110605, 293012411, 898778608, 580226007, 339521371, 795876536, 62136645, 535548187, 318645080, 169369508, 241327805, 69523277, 429175196, 222547086, 709385096, 581445955, 397699882, 195533677, 842690042, 445504303, 439388107, 450778870, 68066479, 983912433, 958402853, 436333472, 991229135, 720614812, 929896011, 864867577, 59290352, 890754590, 934742489, 159785595, 819855428, 70680828, 38688753, 618240444, 729266083, 72388874, 919742755, 626896271, 19548264, 240782095, 148643758, 133469027, 770747237, 722587802, 6956529, 181375780, 316605305, 652339715, 693839861, 988786398, 255337187, 207179444, 809164942, 579413823, 334362959, 394157809, 916729555, 598799166, 889165911, 592169893, 925327251, 223283589, 101890220, 11075233, 154499898, 771328568, 992753824, 799575779, 428114705, 416970961, 200033441, 711219053, 960983674, 8544653, 817769963, 839034995, 844311189, 492142360, 947039749, 528825751, 558624801, 467618196, 952943774, 400358837, 655439133, 867503513, 3888453, 924196298, 413157768, 165489655, 191603616, 404881802, 653579467, 639291275, 560080363, 516683615, 106300221, 192633232, 119134770, 82934324, 67209156, 511565501, 165834502, 563458409, 717178241, 372115772, 744398683, 57515213, 858751757, 217516810, 21347330, 6915492, 776747959, 816406073, 712593952, 89047865, 189350371, 958947882, 521050690, 534145190, 109162789, 39633680, 404940060, 818760353, 150087177, 31776780, 425097585, 159564805, 974350432, 214506200, 15002731, 441680200, 50569300, 681513106, 544701725, 628021962, 422867980, 911696981, 66535431, 520397280, 490716201, 409363981, 666262609, 11220844, 732892698, 151724591, 711909609, 37430157, 916383761, 146111271, 999033220, 916153540, 337912659, 389907296, 306121157, 170723904, 407371377, 547405169, 372106523, 613284836, 214753713, 339804730, 745915146, 244402230, 352676566, 283366996, 500292232, 345008197, 270299203, 381314654, 320288771, 270504023, 535254023, 361476317, 412350260, 769012809, 192251999, 65488881, 692236445, 35721893, 749171197, 936182899, 885571794, 915366155, 162086291, 840311958, 271807529, 868235612, 499856344, 89725570, 446273365, 886273506, 386817283, 490254474, 644929811, 141326327, 105740722, 908566324, 908338528, 998246610, 971433214, 957446656, 275900530, 741101723, 326904352, 557345200, 662436100, 601738122, 887813006, 620980408, 247152637, 325561054, 749700514, 336905306, 614665297, 608528303, 486743974, 927873482, 101275894, 757544391, 697416417, 213454096, 777961355, 25147944, 576018173, 451647840, 138992300, 344726388, 678037965, 849886105, 912229651, 941827988, 520522324, 576358784, 489110742, 670634017, 112013576, 594355036, 695317252, 717429928, 559699696, 262534870, 546003297, 354784424, 451467123, 664433320, 414263303, 577292629, 129590358, 373840986, 644603209, 653700690, 385439848, 828248287, 687005520, 992310745, 589790308, 599072506, 864595731, 384291825, 487642477, 259588167, 682697588, 105133793, 400556611, 916015767, 416523175, 746355812, 563224559, 764853892, 546528195, 185642722, 591895779, 327827738, 413560092, 563708026, 748727080, 313403567, 781761119, 843263459, 942331113, 993152583, 695212882, 378975291, 348598602, 884300044, 720935629, 846619359, 640309537, 680054409, 480966761, 150357982, 77250311, 577013955, 870877565, 477648563, 522676558, 553063972, 144841344, 567750479, 359031656, 531210601, 678467827, 219781898, 895929445, 277930127, 768683773, 853476641, 68163572, 458364515, 570658823, 284928809, 51410924, 199864303, 760139626, 696384139, 957141997, 535136732, 564708320, 971280347, 126372607, 803764971, 272932346, 524693371, 468189297, 205004396, 705820256, 822413156, 680786157, 277783412, 994184147, 534932853, 788470665, 736217728, 935061020, 240674799, 281745163, 262133228, 527687446, 720218823, 611227220, 161553346, 88263261, 504534450, 759722238, 573040244, 293568726, 365897340, 30028305, 676218476, 209360763, 977886773, 519278240, 953570687, 12531504, 272200521, 167924803, 550271946, 443228927, 771542415, 733096238, 626076896, 499878150, 59519102, 596775049, 61707471, 247753425, 331296672, 56550024, 87278855, 966899669, 33564902, 563038003, 365728616, 794980682, 747532191, 308399612, 361806686, 470772771, 661663749, 553200696, 292927487, 704651277, 70820831, 399721119, 762072558, 44306085, 961669221, 576846349, 92375324, 659671328, 126319980, 805981138, 275530251, 841673882, 58431893, 252996740, 203521051, 232101218, 937446163, 194349276, 807859220, 876482859, 445577411, 437633718, 161068819, 87184689, 514992216, 123042081, 725168316, 71646449, 334646665, 435507276, 567274533, 239724250, 179860651, 151503, 570758677, 232433162, 294404440, 403174746, 413863586, 424373189, 563420762, 919031755, 587264571, 830681986, 263939125, 371855807, 38684118, 64021454, 518056480, 248863651, 573818616, 550533289, 558318857, 400331911, 774908898, 126437618, 942378244, 574648114, 620634491, 663383379, 214377271, 236763306, 50925289, 838726397, 762846790, 841069509, 420083118, 457956948, 422595276, 766258064, 979632110, 943807664, 230224940, 990214497, 306406586, 255164482, 557223475, 543306586, 539852413, 928859583, 18492259, 472141761, 33579728, 408671261, 68540177, 18074118, 868439228, 646366305, 350066286, 957039972, 289965914, 746249309, 998161486, 445075057, 86055627, 496056497, 639353598, 617373181, 117753643, 968035693, 469924518, 578857837, 205418740, 83021724, 849278674, 581583839, 358189527, 454199278, 281524701, 294523744, 905170527, 203915181, 263884153, 403812220, 751302524, 18485203, 599036526, 892849375, 19655588, 371092017, 472372081, 315895230, 931864812, 692332100, 627138938, 168839818, 290185636, 61137265, 354401068, 970626599, 870260043, 319518638, 20628756, 976431159, 487148287, 181420728, 414235286, 251802610, 629042405, 878290883, 769798760, 175764079, 260707190, 712892490, 411764075, 30421444, 948930090, 398821775, 703906776, 441591462, 546409947, 435223911, 50279713, 91716790, 224893887, 906735442, 76418303, 392329676, 242953377, 430970158, 626469287, 778670280, 43828382, 690096936, 193463718, 484943545, 30248846, 752545756, 892142362, 194484035, 698124945, 5284337, 464112279, 924268999, 18048716, 522817733, 286078181, 571834703, 95556114, 317419566, 655517692, 938333995, 626160564, 511945301, 70583425, 987582109, 418789016, 814240674, 93546647, 350620366, 47040022, 94918848, 545501224, 159315431, 315900086, 893200400, 161936330, 796058460, 34727393, 275513869, 410918333, 183570136, 298016509, 435423004, 501986268, 571491490, 538999173, 109981426, 344666036, 427692046, 39540521, 434624614, 679425497, 437943834, 29570648, 259856034, 480375093, 525008519, 832893594, 215997382, 858016227, 618186107, 513671994, 366042139, 830020826, 97938740, 133257568, 739501265, 697530164, 473874339, 908280513, 6355405, 587610178, 623247587, 220552827, 108934659, 695189137, 110830846, 563720750, 418155929, 579046311, 698005815, 693031154, 657969673, 921748102, 277998204, 847868901, 580493912, 268300384, 300220651, 790634454, 451105018, 97408023, 839212957, 878255291, 357922489, 925822010, 992400, 183589034, 67307234, 532091568, 495287462, 360572421, 107577422, 572663310, 89651493, 705155271, 647247625, 342020044, 209498386, 117007974, 347976255, 436819409, 534134932, 645993182, 212816827, 872114535, 260069933, 90827359, 624069389, 625221912, 848551496, 286184383, 937989000, 458986672, 741846177, 572477287, 589128225, 27244714, 288468004, 393650848, 976452296, 77327723, 915365661, 281217977, 65414742, 57330196, 369695238, 584786818, 93998080, 455937088, 648233078, 734536313, 66772268, 977928786, 559837882, 983771728, 841447231, 99838963, 137898076, 61258889, 782471175, 638444387, 66178837, 611993189, 767944823, 696400221, 480042636, 864603583, 984158792, 136473356, 691157625, 457171234, 191296432, 713714225, 944199630, 322162662, 2470038, 13581986, 326412724, 167855811, 263760877, 110502438, 264598380, 236446604, 414259108, 972095032, 623327585, 590180007, 559102133, 585201429, 536036601, 810943066, 993927040, 60081089, 644519555, 744990242, 652819019, 700501173, 449250777, 497021266, 988189779, 277995672, 911587854, 134336067, 282405555, 303808371, 139899060, 655323455, 423629417, 547175786, 937069961, 388903331, 762843755, 232669174, 207091870, 697710711, 229225790, 387892295, 200284107, 448872659, 866470094, 765095609, 398824726, 975543170, 577025609, 803682177, 408383151, 835767654, 486450345, 461760774, 987747225, 564342940, 416324361, 869581201, 744090442, 195585896, 201855989, 572496991, 942006569, 459815135, 318683691, 37605683, 950339233, 808632975, 469435785, 989527733, 667502424, 121696212, 805494968, 318618382, 295804413, 242250158, 952713097, 978726076, 704459674, 111341541, 96026793, 579978372, 125232039, 871992809, 397610646, 699255457, 652311042, 74364815, 957569816, 737185336, 212035978, 2793173, 10234925, 218070059, 77405261, 108023031, 196108113, 771333679, 888623204, 63887180, 507105057, 56027229, 304943695, 786538821, 346654670, 284575079, 444414364, 396426524, 248700167, 412318046, 507301183, 913210382, 79767343, 782344712, 314584522, 671698722, 720567670, 63906529, 331763382, 580260237, 210548344, 523846549, 163007036, 573288939, 123593559, 718434732, 163497310, 848922928, 549888876, 657484397, 982397651, 412145858, 357059393, 267826871, 630919619, 242810244, 969288946, 319919454, 153279185, 734101094, 522111155, 52372199, 661742028, 345415481, 115696496, 756018867, 472423458, 355202914, 498621837, 865207885, 353056929, 513517750, 760900240, 271040046, 583874354, 469430770, 379094773, 349085827, 149886127, 73263224, 801042887, 971353727, 902446187, 857784671, 759469328, 787727067, 215050418, 145027869, 582032450, 488060221, 745110850, 770587948, 548210474, 285868799, 328517682, 681207984, 480131136, 508221606, 696772319, 121690470, 446335507, 455281692, 442699830, 393689076, 639532024, 418873558, 487477457, 587330323, 496239310, 832918374, 26784889, 692815943, 322838457, 68406286, 851585179, 811860890, 217464418, 47926309, 583334012, 981849787, 424081278, 846226402, 834734133, 16978019, 818288449, 813428858, 529242657, 128001291, 589781950, 672382319, 888452893, 724677030, 758668450, 777759011, 141350475, 814408429, 199416883, 330190215, 343185508, 529467502, 450220127, 497585145, 269491816, 357774572, 440790074, 548681066, 183048844, 371893011, 339147499, 259897649, 258978969, 275916932, 395498551, 712934069, 636328846, 715755978, 291895457, 667663134, 454421516, 284660379, 986369695, 365130221, 360090809, 420767572, 674657985, 410263344, 263146067, 971630833, 659492936, 831254124, 275273022, 568163145, 982385638, 458997148, 652705520, 482292772, 615572939, 369949257, 463000762, 697890193, 38223380, 470187425, 994048952, 376533151, 480752429, 896066220, 58264501, 219009110, 87586175, 374037153, 651499062, 238004558, 730448938, 382796974, 819459500, 528387157, 904142186, 946674411, 423198855, 303941970, 95368602, 585078108, 520899474, 424672930, 365086778, 450938816, 882444419, 342205986, 166013457, 948304909, 175794620, 511841464, 158663029, 271585611, 903706479, 273133352, 844580937, 106549204, 722709157, 947031292, 158146366, 575477879, 406848999, 884939718, 507474455, 303943135, 246568993, 538931088, 72155800, 339623110, 319212676, 110648110, 379161759, 358267932, 958307362, 208347124, 232028392, 575001302, 723682585, 844897502, 449327140, 125340679, 2677847, 732449516, 536873838, 560050164, 719012020, 117066196, 159364132, 221088992, 762700494, 937025242, 728356399, 938024993, 881173365, 79132140, 358395201, 941883706, 182289434, 118776158, 396900808, 562518465, 506572799, 441692968, 525636278, 823715019, 84608973, 278974721, 947170410, 674387666, 467416630, 702822863, 261709382, 553473949, 67094895, 143932339, 398914922, 798086456, 946025060, 537876502, 951862026, 353709769, 687535877, 636570715, 815919554, 954792220, 866583653, 218319573, 766746388, 675337075, 59856501, 686127337, 284506829, 920616014, 583100752, 340348809, 841300682, 339312201, 127034180, 84566628, 717702551, 511640395, 930269892, 100702891, 529125247, 21914649, 312412400, 928086577, 410019209, 92818825, 549929494, 981444929, 25900458, 716198526, 295153565, 615095929, 730361626, 836795933, 999545402, 851013151, 591392566, 956602277, 625175700, 441958224, 649324586, 925649371, 197424524, 587705118, 208501610, 387209147, 489878338, 18945482, 381867631, 525719109, 591263005, 778076016, 33535872, 791210570, 933105466, 97089417, 928856265, 346421912, 491097472, 109204323, 798599800, 732591864, 852265908, 351294478, 432217407, 630692369, 5011476, 409276478, 921752962, 616089812, 165350285, 315932043, 824417652, 919799186, 323123050, 472453189, 204799721, 407436764, 302316048, 848764993, 363963145, 433460168, 434590594, 236498487, 171804394, 782220782, 447540696, 593949628, 842943995, 188193299, 881910628, 96403731, 857697932, 999898392, 597014922, 118539428, 835675037, 768537707, 661485358, 895838105, 69666030, 266644198, 484582237, 360666734, 995273906, 343504041, 179995299, 12413511, 890092222, 245239949, 95218218, 213157463, 966892720, 366018052, 911053937, 755351139, 712997567, 210109939, 724320166, 694737449, 258807253, 786641617, 66183870, 820708459, 505899913, 325916036, 588597585, 565158937, 120473543, 307953110, 34960871, 444689233, 307158408, 488980048, 510068046, 335016346, 481661027, 759718310, 557273190, 437252777, 93072630, 65396633, 2168909, 14984443, 30751135, 126873377, 209876525, 522250578, 439843228, 759991122, 314039797, 490374192, 55727678, 492203637, 366111372, 438386789, 963332486, 694429120, 563841227, 717088283, 572085090, 887707528, 169585901, 405721606, 869546682, 605108745, 355129221, 198265080, 128098387, 138533744, 521109220, 640787981, 645344901, 91838048, 16145318, 730532757, 371755034, 560522754, 925264220, 230870361, 868421141, 779818311, 843813731, 494634056, 780759664, 474669722, 915867174, 335682517, 991963247, 524858308, 561800985, 302554884, 920424520, 257662327, 682566932, 936374822, 266471240, 310380347, 170498703, 183692950, 879678860, 117715818, 429644780, 8421027, 808260029, 912054695, 577106254, 265154265, 483792650, 324293057, 422124216, 759403666, 524146374, 930744328, 597123765, 61532749, 669832498, 648974750, 127831384, 365747858, 95886359, 989986237, 626322693, 520679505, 289321280, 256316534, 750284110, 306897398, 209036119, 487741136, 712325978, 201582003, 689574486, 275607296, 84853598, 496834237, 909623884, 830153048, 994799468, 232851956, 964839038, 302248526, 857206791, 461416520, 966257722, 338980713, 792000569, 939055669, 599204077, 751007869, 518026988, 313738798, 280876621, 694638724, 774501906, 411007642, 717070929, 809992569, 424058777, 654108211, 949497042, 856058012, 515088415, 150033402, 184190208, 604045479, 79432257, 755844963, 564988677, 902641037, 250113289, 454223112, 43614, 642456501, 368337520, 781161371, 417174977, 408175278, 810892531, 816744006, 680813996, 699982517, 967194655, 330316636, 22151650, 402825535, 512598379, 376093944, 72130687, 476417016, 971294027, 287561268, 342924520, 801267926, 612670901, 131686014, 82817689, 530671356, 17996151, 681501249, 278540267, 834188144, 753833403, 623264375, 691656979, 17171308, 530223678, 473646122, 401556701, 534632722, 655784896, 63729468, 501302301, 865179996, 204760471, 477759126, 357007774, 465463607, 379109392, 160119059, 968277734, 328786761, 99376881, 841704279, 557973981, 483748540, 13287179, 55555250, 625402004, 149937363, 334866841, 198834809, 33852911, 215845275, 997145595, 669091445, 331838443, 937133476, 95481512, 899004604, 509718973, 454788132, 329552724, 662510361, 729254642, 867905749, 544701067, 463125631, 5775454, 417616342, 838597086, 670091629, 328375564, 875517021, 141997903, 423232496, 935050938, 214342220, 934873548, 584306877, 952273339, 225509920, 530638965, 785865628, 453471363, 644944805, 385372788, 367021902, 356704394, 434226196, 366464984, 361147813, 266772563, 775620960, 405032188, 374036509, 950182870, 150619861, 568103889, 398386436, 833139533, 309799367, 199389843, 332788285, 845520973, 948221092, 559397304, 240452089, 193507897, 780366737, 378822265, 958423909, 766930706, 502345468, 111525421, 729609648, 864069779, 133365739, 636538493, 956792313, 377028856, 887929496, 139905059, 885947813, 663017618, 682620004, 961072651, 425218808, 111670217, 587484806, 491936132, 810713262, 66870563, 512750352, 119126864, 942670458, 967781113, 299741075, 957151730, 865503763, 625332449, 714780286, 16332042, 839196601, 417438781, 942595743, 308696363, 111454419, 795996272, 34526303, 793975111, 6282553, 408867075, 436264893, 461654711, 618962101, 530022632, 829647388, 156872641, 187710743, 970417786, 71976312, 610361693, 949479604, 246548379, 60479703, 42451571, 656802860, 772289577, 14518986, 195282734, 370587337, 133553451, 64416399, 442890948, 485741959, 699998431, 241657904, 58633389, 920623010, 289516918, 623982319, 628132245, 324686655, 207837984, 142786353, 492564506, 433210785, 831953417, 685746843, 842556764, 206951696, 206731260, 249203418, 668174154, 543635027, 502227111, 545762778, 620695418, 952518958, 313357760, 597833754, 850279114, 930604267, 138743961, 425430882, 132596380, 30383291, 374084580, 410697054, 702052459, 638782283, 363685741, 913792401, 123347115, 461827128, 638599332, 215244093, 321021363, 476016363, 1461675, 45979772, 937705394, 639380550, 172207016, 405063498, 414093361, 449212281, 697463256, 446953401, 397567661, 399641177, 795707329, 552662821, 45437688, 888941280, 636399790, 437665209, 386894403, 609108199, 496016833, 287646015, 571821346, 853173417, 334521050, 550092012, 180411843, 854161700, 637774807, 172130141, 473306557, 681612487, 352832744, 122586686, 637694400, 692879737, 591291682, 981786908, 978517379, 978259274, 153218609, 108983698, 344589107, 431225067, 283773337, 16874998, 789471476, 681745664, 723252806, 486355568, 135080642, 725199571, 133989025, 553655325, 789001098, 417229735, 698712627, 465916496, 128890711, 932365923, 442489840, 20348537, 379270386, 721960128, 654718826, 880264207, 824562947, 57870886, 183643859, 55544912, 871806385, 307234173, 674377438, 616547204, 29048767, 622707378, 638501651, 42575826, 794491021, 254065296, 634986747, 839890980, 153718278, 81502635, 262782705, 308343245, 150454410, 489692326, 846350010, 490531363, 610165739, 185061216, 909633745, 732526928, 372873343, 62061389, 936605100, 868811995, 376397259, 21427269, 61081961, 590623202, 83386566, 770277784, 530604088, 705449490, 603515148, 240188204, 79556189, 73213164, 318974944, 501978821, 842647372, 630258014, 797137689, 242297588, 831306680, 337483316, 984607008, 83592413, 957993560, 319370199, 969893588, 801948141, 413072584, 860681067, 482809105, 116048314, 332080979, 786629740, 121772985, 297211291, 552511225, 687308825, 637586830, 393696551, 581992644, 854933264, 602100001, 275234771, 947943033, 403659762, 670060606, 413988580, 724443366, 535512391, 234695318, 294536528, 580114306, 473667100, 154686180, 194815987, 59119057, 590502875, 33435055, 784492567, 565680445, 48365162, 67648197, 538783754, 27807752, 523451656, 81936984, 716476866, 76564714, 76983929, 701628465, 797651206, 760977945, 110264943, 107205470, 806386059, 224017925, 524662792, 915142691, 82382194, 74191064, 624795494, 465732245, 23317184, 995398586, 5792809, 832318002, 8233686, 343410017, 683201362, 708229493, 46592239, 889600085, 391346744, 693712764, 985578382, 421460321, 799018305, 899495022, 169384173, 711315909, 932606066, 407112087, 107212997, 127173274, 549331434, 165822476, 412842413, 709751620, 129586311, 103648263, 528382316, 401740975, 889725580, 759519193, 259012337, 234722774, 132693213, 840487560, 771044427, 408869996, 346410317, 639252735, 526956413, 175324229, 144301283, 124795321, 123676424, 942884026, 850147778, 657792443, 703425942, 388641, 121438034, 161285757, 505869942, 582008538, 762252199, 68467190, 761693379, 540902078, 486788932, 396987106, 79480612, 924049794, 55517531, 932001218, 118323420, 81699984, 562273810, 225841391, 215324278, 450212108, 579759726, 425763496, 867973372, 935809193, 700281229, 519562061, 790131948, 545400591, 760138174, 534717199, 715562907, 299164471, 54709790, 262449949, 941957997, 193636201, 938484018, 556684314, 790642728, 830955502, 782613257, 835499476, 350615220, 442547349, 878006573, 519599805, 602795433, 614442068, 760561439, 565453429, 486318914, 518558747, 897194988, 691660475, 869738414, 459965580, 827276447, 153273058, 181643091, 114025849, 1596374, 568360265, 777838208, 248214415, 939142246, 572654076, 293714797, 127585250, 215102787, 753244412, 116111454, 866651814, 297331625, 45598963, 530605481, 601746773, 319119198, 961383471, 431373450, 599883305, 702058050, 754629590, 232351653, 89083252, 4574979, 304661738, 78974751, 347372914, 841813221, 25677573, 779670565, 664323172, 971423606, 512356403, 472045475, 904238933, 123209771, 104165480, 725285974, 789654972, 645203660, 556542973, 833307576, 171009585, 497911565, 990187581, 134569211, 78256141, 668549834, 616112711, 974264265, 770377850, 283930706, 463433618, 923306117, 145452656, 623405779, 345415410, 804373929, 761750569, 714922274, 202706760, 538576753, 194921375, 495708910, 770207467, 551934885, 971870355, 399191316, 873340881, 511993981, 952024808, 15967464, 991863829, 840984318, 340722335, 35068426, 665027986, 269576584, 421989073, 184789442, 490460084, 636718701, 734553327, 740300451, 553853712, 187881444, 293542311, 528727756, 433462447, 61708221, 154513484, 827155805, 24662583, 248824353, 608998986, 410428764, 533117898, 435377543, 705885726, 829633463, 530328957, 204163889, 295289789, 186615962, 664728932, 858453621, 13969806, 829531987, 870241367, 854031354, 147716673, 93578702, 806507977, 717387749, 891453664, 677772263, 616945855, 793614240, 422967955, 962773593, 417104144, 257595027, 443949157, 561511625, 697535945, 423220917, 788259437, 317140086, 640742596, 590472774, 897867833, 682229424, 466191145, 3286040, 322360756, 463155731, 340016784, 638440711, 914846263, 420071060, 560456275, 32699863, 445791861, 716569373, 844238808, 118404009, 274633291, 793470737, 875877453, 612831002, 478611077, 389404729, 984735129, 210044671, 677434432, 99212266, 555957124, 528654183, 946372062, 940568699, 519281209, 868818722, 61387056, 17179453, 580340148, 306219069, 875414750, 955694467, 495935794, 38727398, 506119234, 770184454, 65799012, 733658408, 491521380, 350513747, 942135894, 673462299, 133519114, 954360097, 159382527, 483507782, 232026997, 329447804, 539750538, 718822257, 930205765, 414553174, 348770025, 923940396, 910764897, 772069724, 312804504, 963270649, 393704375, 348722496, 843132185, 846578065, 238537683, 374867953, 781497167, 428140821, 924784363, 788810705, 699801749, 609208482, 284093996, 4841993, 202941407, 456683576, 347922901, 552394559, 44348543, 376038478, 434962180, 136766865, 961571482, 285039048, 776735211, 707825865, 985816210, 472392173, 228075409, 759065925, 372412296, 822877538, 723929673, 654629205, 595097851, 213998061, 950254485, 425270556, 928896428, 684833265, 222829854, 869698823, 258978845, 30359610, 380197016, 533078636, 551011009, 797944108, 490252043, 324941535, 99343242, 291253012, 958108281, 214470748, 999776105, 443717896, 972165388, 290684236, 685281391, 641344667, 672862760, 231413481, 244287049, 211039333, 821458999, 839048171, 379112572, 929163769, 17510751, 916627320, 33312156, 461537528, 379441438, 949035690, 31249030, 633409942, 594860507, 371089371, 242691666, 481651210, 524772094, 93040546, 227772914, 988718422, 838006517, 465077336, 568222577, 101273288, 385433529, 607047303, 732634826, 70054198, 498495849, 579073114, 72815786, 723859431, 314954920, 947694418, 377829628, 325596677, 897618957, 406212686, 976495119, 357751523, 849136431, 643586696, 903003536, 815051188, 12641752, 670853784, 775177740, 476881609, 958465789, 215316849, 274376079, 354055668, 588790232, 236267761, 877988149, 352588320, 226212203, 382128129, 569246807, 330814637, 153966813, 504036207, 445062820, 431074388, 658722163, 640153769, 203489672, 149975235, 997608347, 740535378, 835239994, 469505316, 698607500, 633449601, 351552265, 838793348, 455992601, 999578770, 173174167, 854569504, 87226380, 291693081, 912116389, 319858932, 74190199, 536724871, 938076228, 919005043, 417569782, 519587181, 668222107, 857958197, 725224235, 738017825, 821723288, 366792492, 510883716, 634435156, 759563938, 400585911, 97940889, 522928089, 191430059, 17230388, 537893800, 805024730, 669064498, 55267594, 893703880, 643761884, 970251683, 849330385, 308594921, 728157639, 381446512, 687812549, 383805660, 788042453, 229884002, 60798482, 733122943, 262519653, 616174204, 995217253, 141226324, 986127160, 284085874, 209313203, 219724967, 438750232, 295998030, 693303032, 934096628, 854194175, 764422687, 18643011, 442279491, 484225500, 790428137, 764602025, 327903317, 808009378, 560360004, 197408817, 26776564, 649269144, 505095170, 555886797, 974323566, 300334098, 901184289, 113438782, 418156785, 399172642, 497022088, 283066583, 99694225, 754493533, 4626074, 397334157, 268800401, 494661111, 225974292, 682167577, 888525629, 401494760, 665252168, 469677720, 830085621, 142771085, 466856913, 325449205, 69342485, 651545484, 150810890, 994639298, 440247596, 520889768, 932521486, 874116308, 650958254, 161649247, 620555027, 549149914, 234997699, 71705103, 739600504, 32530367, 95210306, 683452818, 784379630, 639596358, 789792380, 466181360, 72828722, 899667307, 744863366, 994931162, 74493590, 270740105, 800354380, 77604074, 135386577, 560841760, 585631463, 695060118, 232548117, 791299059, 538151673, 734135121, 279209507, 668173333, 338792078, 968814800, 81626120, 512042870, 651222164, 915125029, 735213630, 167477314, 406726827, 752478031, 895178620, 9997475, 629321996, 833524832, 489862241, 841860187, 920706301, 490013097, 14122966, 284077980, 508796954, 410881166, 729462168, 607862465, 821410572, 211771836, 861486524, 632549589, 421276415, 786993019, 575964929, 597033708, 177969270, 218707697, 781769451, 463121241, 90535066, 927344202, 770028211, 996628732, 383143781, 858205208, 29420819, 617365603, 145136155, 198875222, 615580822, 898740800, 772663707, 472234099, 165151568, 443368163, 211968138, 451245898, 428075435, 165679922, 113344164, 3769855, 256653320, 133413631, 727469610, 486098748, 929334483, 639555445, 404596006, 548065924, 370813574, 341669324, 602949654, 380358515, 96822051, 1118486, 955916092, 395056355, 884860820, 6242584, 442811196, 812572264, 251842308, 691734781, 32638324, 681779439, 184437081, 987773983, 355271956, 876520174, 406595733, 701059084, 489274932, 157064002, 850937718, 507074627, 121735021, 382612933, 791755985, 328727520, 896650475, 588363506, 646619326, 699859986, 295954559, 834581413, 243407255, 665206123, 897120812, 957834345, 305037159, 307666379, 605404139, 274462227, 948929917, 136731124, 472543423, 174276837, 641696790, 801595518, 104336176, 253646590, 697319475, 648842081, 559902726, 604182215, 340515188, 35574323, 866080631, 949314673, 404499509, 153299264, 602402663, 373360244, 949905973, 908560456, 257336820, 651656023, 924285265, 222579498, 602856062, 392357233, 820715156, 679150839, 944909752, 201402736, 202384080, 398979465, 119666651, 755090724, 655001157, 473768283, 454874096, 960019491, 969051576, 701814879, 27311654, 520726070, 616493762, 198470870, 271619428, 519113916, 567373459, 140374598, 443606072, 126088796, 313639336, 154154570, 535744725, 300206938, 688037478, 840720462, 856364404, 26844060, 231464148, 555392595, 359412081, 263165960, 70702783, 586942872, 206829641, 63642528, 50443961, 174809771, 921917196, 177047358, 409891197, 744846198, 8345575, 841438745, 809130017, 180412223, 274114380, 427735312, 736725133, 112327009, 511326341, 183181306, 770868250, 468515026, 707490145, 781410399, 400277117, 680160404, 442077734, 514067810, 445439973, 225787582, 343739749, 387253165, 266138195, 320647158, 158291461, 669299015, 995450661, 969909759, 146401451, 77668703, 666235744, 329678966, 51982323, 226685844, 676867557, 280273550, 208041703, 709663427, 287045650, 425345898, 1419665, 486528884, 745518479, 497879972, 377137535, 503374775, 255720956, 227903624, 41969282, 286855215, 511030851, 606418448, 208380838, 897597973, 989983803, 661769362, 483923248, 417626442, 284621584, 751926330, 296090221, 646720605, 444924874, 882902277, 427465935, 225319662, 398086012, 323837887, 915753333, 945679534, 679651724, 60322251, 150302013, 67845969, 72569382, 243891548, 879874884, 138719871, 936435206, 890886609, 852825054, 708069430, 550940926, 932052985, 855032299, 368591102, 640019862, 390698750, 193507395, 196834733, 622074266, 126987687, 411409845, 604743306, 365411382, 460884794, 258449759, 242264399, 237604742, 874070633, 322017826, 192571166, 510958501, 778629522, 590984385, 382593067, 210497301, 263658383, 760181537, 993102983, 951158322, 605952329, 491253944, 911150791, 250995514, 410586035, 984374254, 751149040, 148485143, 525178075, 484690925, 541227806, 808248307, 149813515, 114009163, 893595037, 427141771, 219671241, 998828348, 490171770, 865853087, 891377259, 102490793, 75385506, 231389788, 181241267, 229091804, 121846366, 456833835, 836131835, 577639435, 293216123, 330098476, 820380636, 561293306, 289059809, 462548246, 202234955, 353976428, 96170721, 232461330, 267076346, 373029426, 917661456, 333864179, 656997944, 530215512, 238489139, 341518824, 548513016, 222542320, 478902131, 826357635, 911434805, 142031190, 458879636, 146481294, 663899257, 902994568, 173084382, 145551260, 555907732, 473868283, 900963359, 252924287, 980943230, 262913852, 609767902, 507956769, 263288185, 725993154, 37224988, 331248183, 444569867, 686316938, 503317446, 110753999, 319594477, 26467614, 106202392, 264577672, 314043839, 271461966, 433787989, 825293630, 754367303, 583320638, 460296893, 589812197, 429561124, 518683091, 938742938, 119412706, 374165363, 938284209, 305949983, 804270010, 574394643, 991744311, 118443661, 822879414, 328227190, 910036176, 17933687, 703760776, 561289408, 177049757, 684934702, 914704245, 207001642, 866918731, 823178253, 300884385, 562530673, 894888474, 910244844, 801151327, 647319703, 379453284, 123445171, 176281675, 494467837, 942048165, 250332363, 459953736, 440588952, 896721180, 175107811, 54092084, 429556569, 5843311, 606754169, 100100912, 749292426, 395672109, 256915470, 675549833, 278599767, 827463273, 205778696, 370152831, 954397288, 2164284, 567110357, 473106855, 771994664, 714608428, 895042302, 557506954, 932448618, 721137930, 234869816, 501862426, 735547089, 805023335, 747757381, 689361061, 533458854, 237647205, 821818219, 41426574, 328475030, 99495784, 836698770, 835286273, 410322052, 984523554, 58814160, 80738940, 112189037, 828986607, 945517327, 819555420, 683393828, 294570418, 735516857, 914859422, 339363622, 56567986, 730086057, 406731681, 871977797, 625550332, 778201973, 656013319, 127922228, 769992406, 685136657, 266053156, 649667035, 565278183, 60696089, 30818042, 679111362, 740685406, 479067710, 689859720, 988885107, 722100653, 755827653, 271051363, 252810337, 844530659, 589680383, 690086097, 565648112, 543705890, 167608035, 171833127, 131978869, 284792339, 597313695, 996716791, 318240269, 998940055, 977339257, 306408485, 608957671, 127164840, 796665191, 245245236, 498784847, 193224771, 475805254, 339071655, 627409825, 390653256, 802894785, 789937067, 435010543, 217239892, 544297688, 933216027, 183063337, 623802049, 466710905, 90157274, 44544327, 438484299, 130389846, 78482038, 635189788, 491464602, 271858489, 316674054, 80818423, 827382936, 300282340, 937879262, 973575199, 963836998, 577340561, 870558739, 35043234, 705638627, 788801211, 416353104, 746577685, 122470636, 161039091, 149250509, 795299898, 854803459, 580148041, 218832186, 758111499, 866919925, 560304820, 99138667, 304103801, 846468106, 291081113, 578967674, 957899648, 536051432, 837572095, 994298351, 248835685, 826798370, 529669552, 610699440, 678600867, 720621194, 202533857, 797090424, 819840461, 70430494, 696059918, 684876147, 982207358, 750507000, 185901059, 95651986, 649978527, 816638198, 160443269, 827910783, 778120241, 745249043, 591985312, 109083386, 477751891, 984513252, 709976694, 297773412, 851524947, 681053614, 780899882, 445100108, 501998733, 320622053, 351416832, 885205159, 73224995, 335461910, 565216084, 861169419, 207633613, 403287215, 74111710, 286342053, 292022703, 513527225, 187584824, 133691723, 499210600, 213443258, 287471122, 618393242, 738878188, 68938031, 383425363, 613406592, 372008077, 742253956, 775739693, 26905992, 630436120, 491637199, 79810719, 826872396, 765664145, 756001255, 810916261, 563901103, 702313094, 51720547, 36752729, 631293777, 868634755, 606974473, 921875943, 826921024, 413858819, 934407288, 767664397, 667206188, 892320422, 440717390, 22454585, 370729048, 507540039, 648928118, 953208674, 153422897, 558453816, 504370340, 339062949, 775367377, 886597678, 229207474, 359999767, 212504605, 329514343, 521070166, 584691212, 522097630, 730005150, 573159893, 580693080, 170111128, 983988501, 753808708, 530703933, 739300643, 511253787, 337731073, 998135795, 268398175, 291119040, 44379789, 53534450, 370608071, 687487187, 463754231, 756637967, 54947543, 484519653, 664651257, 554403348, 962917791, 132434921, 996938050, 856629197, 62188486, 430657152, 960621340, 546370441, 423576078, 90983461, 913272721, 260585594, 949017436, 81799541, 98457753, 382697235, 516091999, 837529383, 354168323, 410562672, 365610323, 466594698, 60086798, 425769179, 118004119, 117673719, 800871825, 854056186, 189130560, 267959020, 203337893, 585359150, 528188684, 979702187, 872766516, 335187621, 572539606, 76300765, 758091312, 826040959, 415544877, 920007767, 751131862, 413309020, 902212650, 39852873, 421505984, 211105902, 482979776, 99264944, 237961538, 454133948, 448477408, 261957290, 704682300, 502543717, 722587503, 741236490, 889941655, 748929382, 355129153, 993908356, 386253100, 376162772, 155936180, 964753134, 55319350, 143651904, 959500652, 307388582, 960796260, 606856621, 318252918, 994909220, 105127913, 318127686, 799498817, 269695535, 177855059, 374334745, 101091784, 179714580, 534119571, 2662042, 505599163, 303240296, 748255283, 485523776, 97067949, 517300224, 225825648, 137197996, 58932629, 491265072, 411585349, 243238379, 471830434, 403795694, 582371192, 210682627, 459978366, 730496243, 352447278, 311870834, 435709580, 356141122, 104290588, 152268445, 689192412, 540340939, 534626279, 562119192, 413011350, 460847845, 337407045, 703427412, 196425942, 498543882, 509698972, 351204807, 19254399, 950074222, 60481259, 41783015, 78845838, 256144984, 179427146, 236688369, 354860826, 670209283, 117602006, 662134056, 69062043, 740870758, 709944041, 807363351, 432499275, 388460379, 986157557, 850476402, 888686808, 248355584, 829545927, 730601385, 452586541, 952048301, 331345140, 690333466, 705933849, 160462644, 912052275, 441326150, 957628992, 380564357, 177907216, 518045293, 501584658, 769326267, 2354527, 74765302, 891332527, 681320715, 296975873, 110672121, 61462801, 876871907, 685445422, 4464673, 29779098, 709580428, 46414917, 310656980, 815461442, 768858403, 54152391, 489389243, 890073646, 455533508, 696230023, 156008759, 492306516, 496724495, 320187812, 87045073, 738092783, 502597072, 513166093, 42432789, 111620166, 342011923, 692512176, 207560766, 771364723, 956617771, 567874447, 604943608, 868326724, 725320718, 412038251, 957229689, 20059922, 156771823, 531615597, 377845091, 153296965, 884643913, 462562114, 727234276, 968921668, 869764333, 724395186, 312868471, 712540966, 174103664, 189317693, 897242971, 515410779, 254781283, 450798394, 873892950, 62033777, 847758349, 352819556, 817200848, 428736930, 764350038, 780249694, 567118560, 916654001, 403365416, 996621133, 390785595, 206792668, 804141086, 100851526, 914001120, 557464861, 455942232, 148082850, 320184729, 836790673, 296551729, 16576373, 23496179, 54502873, 439838260, 294925297, 79819362, 622115519, 60978142, 493042697, 143112142, 13543209, 650593766, 786514394, 70620262, 829768261, 283563898, 304002706, 327040436, 112976741, 191284388, 594973539, 34259798, 531628570, 812422387, 293752457, 261783231, 482201721, 304258099, 204108154, 913599340, 771564423, 614810393, 551875327, 552856056, 486549859, 352643674, 489382476, 222203947, 34676663, 353345602, 405567283, 37740605, 719960226, 731888158, 540640824, 616047759, 867338996, 66868419, 811895180, 528657494, 583178565, 954867971, 36912817, 303227950, 681030327, 858082812, 876423342, 472599820, 732273192, 202487463, 160761547, 143399114, 64440160, 938634614, 89743644, 11624246, 550801273, 715237723, 349025082, 312565365, 347772011, 343653802, 953487178, 146998113, 791889478, 422862016, 32852289, 236239741, 982936018, 928162002, 46696594, 966825204, 714176533, 483897977, 488149535, 275126528, 134086093, 310840895, 940476028, 503605009, 283398146, 285418422, 733538371, 848939887, 586540347, 566607436, 73169051, 596232300, 648502571, 504156304, 716327546, 365400430, 165267403, 270668493, 110688632, 746841988, 826770218, 584808155, 629840771, 959857660, 571115888, 419783503, 264771973, 559932797, 713272185, 327059055, 491869853, 126870212, 943624357, 341523760, 881776263, 197709695, 563533211, 161991913, 596081138, 936847804, 880883051, 763894956, 649991543, 202432193, 981229383, 566540972, 697875864, 549769751, 584793347, 87872993, 437187257, 498951566, 780374348, 812494860, 198364843, 112236126, 4434574, 26308296, 284809245, 644265592, 716574721, 469809694, 47212815, 930293702, 769816223, 851524070, 974557707, 417927067, 988014075, 548894841, 944934471, 534380646, 916201076, 507742046, 183344156, 555003962, 730731882, 338631254, 213456991, 835848787, 463135004, 163719207, 547583795, 172018018, 551463748, 798642454, 241294735, 912689910, 327531143, 874208931, 881209635, 927979016, 155973364, 382575366, 276507351, 717305005, 235255131, 417722772, 301679359, 238171167, 196467628, 991079336, 355352441, 870684474, 624157850, 58826251, 727523258, 571358482, 469433131, 381156092, 918402430, 579019735, 123760131, 749017982, 7902194, 72020105, 17229512, 848595009, 296674496, 789046217, 926955835, 273930538, 18623572, 716460555, 132658981, 955901730, 28370841, 845380532, 517777163, 792371242, 680710926, 249267160, 364122774, 134338990, 740494115, 173915097, 659543286, 1485915, 352617189, 849143308, 35220108, 358992585, 483078019, 750079469, 50382622, 552232343, 47514277, 744390590, 204165518, 273089341, 949572632, 537264966, 802513036, 992183283, 563255606, 234650509, 965216042, 469195486, 743664524, 297681891, 592837399, 381502985, 401408884, 573590229, 69807257, 789857387, 234632127, 892790860, 987228509, 562062125, 353072107, 303513245, 508343118, 861457663, 691259846, 408040444, 105499650, 975807021, 833229321, 826704432, 231459788, 110374165, 359794964, 795020559, 885788309, 944409392, 281026772, 717644537, 142959124, 47344550, 397053606, 143124640, 331699547, 947549452, 302837089, 42070615, 634262406, 264289754, 545486565, 711066942, 795044404, 322583336, 723693266, 717523301, 486716260, 262864483, 403046285, 252218198, 455423920, 70131662, 183838862, 151325702, 771592565, 511425883, 478537264, 836619313, 436473956, 514921220, 979889841, 213928783, 512405017, 638014610, 337357992, 303167201, 335471463, 234275375, 722551790, 97773847, 38002053, 263456329, 439480896, 402944023, 180297267, 134721440, 170909688, 508346464, 251469673, 145287981, 721450817, 838861921, 696240752, 326178725, 51109783, 447139878, 921621522, 628372391, 448278910, 38552630, 701141761, 970994769, 44155232, 96112281, 790563874, 260165122, 698261937, 362410678, 656409726, 978379578, 177760713, 367373710, 204255750, 59702440, 99688330, 438494480, 806598393, 190953048, 350801135, 42704133, 725137975, 32150981, 413273570, 25375826, 381388630, 80106413, 640908171, 689781470, 348988253, 745813771, 573398239, 67501696, 713778019, 995042047, 162470258, 54748706, 710379897, 507429422, 643332074, 969025571, 217696222, 27342122, 318211121, 915210972, 611154364, 643439001, 959481397, 433512782, 826934947, 161178457, 72551132, 753420119, 771258215, 850001796, 450179159, 607495265, 497969333, 418343914, 881995633, 11545807, 804327193, 387454741, 148522831, 271320338, 875179811, 875197437, 727507637, 522804663, 3446556, 514217354, 818476421, 359153621, 143607968, 211916325, 612499820, 85604557, 301288365, 801612197, 964974767, 342097550, 538901963, 440973359, 807146163, 80075582, 320052621, 979660077, 397206430, 62423570, 248533194, 927327549, 135964089, 317354882, 725939951, 449709189, 991849147, 302323154, 845445725, 877710623, 48745123, 281960231, 351901037, 394776954, 877097293, 652275962, 839063531, 378191472, 581997797, 282350815, 265370047, 905611198, 710594388, 158936117, 865801692, 866585384, 390245912, 787349240, 500075554, 453923759, 782912311, 371759605, 388331703, 814279542, 689597862, 611375634, 103378527, 714982719, 916251166, 299014930, 912761223, 946612162, 100484425, 299860204, 493794850, 27972709, 574551456, 135006052, 618085924, 889307304, 563797693, 897709078, 76787998, 267892918, 335610078, 181719055, 350076104, 805118734, 405784662, 575796573, 950324999, 498749742, 15908423, 678607014, 158693669, 387340010, 743336020, 205694108, 658260049, 240773263, 567519358, 733797760, 459076840, 108551197, 551842044, 821441194, 650986461, 450357785, 792989760, 32620599, 182038843, 670129088, 126427264, 418769502, 444468600, 43147711, 652638983, 610421507, 49792595, 875380084, 695801476, 726743202, 46818457, 853602206, 188362529, 464197583, 177407883, 893033934, 980403255, 759397935, 16588686, 796941254, 168145411, 552900316, 590180409, 389212311, 760147014, 914040915, 255640206, 964621421, 314041082, 301159850, 990913388, 823242406, 224150399, 511663028, 83794996, 725258912, 982255769, 387301512, 61044918, 604206715, 6560635, 159003373, 876065923, 446458685, 575819420, 595707192, 515396707, 977399506, 46243335, 678188680, 861252723, 295499368, 2403139, 59428282, 978041180, 841329095, 838569452, 172413884, 686592205, 364878866, 903413213, 540325791, 628297897, 659994300, 14327929, 92242101, 704084998, 563861770, 888718518, 486453265, 843416941, 923148550, 596845218, 168014666, 937261383, 434164362, 460076957, 504638254, 781029187, 500031230, 192344848, 905126583, 801164972, 36962633, 799009782, 714834576, 598872362, 394999835, 708517593, 333901620, 95535125, 952630806, 27608092, 293135020, 494720277, 133660921, 957123208, 257324240, 413915064, 130731254, 442856784, 303012228, 542439690, 735719642, 298099117, 200171449, 736276902, 872647012, 990034475, 62094518, 325971064, 41742423, 931395718, 989550689, 773128436, 759777896, 890389535, 35777385, 143149843, 405263773, 437817131, 676086317, 998863129, 77826230, 75452282, 794677396, 905163618, 255901761, 621933811, 260169603, 660151089, 251332905, 578717666, 881444813, 615405590, 123720284, 529124547, 770526156, 993872760, 484469853, 572811385, 732782192, 258758951, 732396703, 828635931, 548055559, 888768533, 727443345, 566718095, 677814307, 227924775, 190101187, 243210363, 359218445, 214159932, 813589143, 896351428, 708242100, 880178317, 511402059, 228707181, 678425026, 936587129, 928103065, 643237395, 679554959, 245576905, 772031417, 499476389, 637959694, 961913239, 883745675, 511961423, 989622873, 98185944, 552152707, 455826834, 458043980, 963808855, 975911847, 746007704, 819155874, 878642872, 695738095, 618663713, 949279228, 980100962, 793310588, 121138824, 769838415, 339332915, 694724109, 23758255, 841431865, 813624776, 899607254, 943905277, 938634110, 684112090, 110543979, 146741571, 50995361, 293070168, 485327105, 308561943, 757296883, 875128196, 96792046, 269805462, 735719240, 87242995, 644878879, 316499840, 369383257, 715063590, 522365187, 69370398, 628879089, 403054925, 929626750, 674766610, 172236677, 794064729, 604488596, 922916520, 72737291, 741891931, 972622550, 402549104, 786486198, 287508226, 948988935, 113987743, 582851672, 449940500, 763087817, 367676502, 195273923, 352049570, 24825186, 141433577, 838274923, 596323450, 471562200, 517569326, 760050218, 28926339, 778042322, 546981570, 127491680, 862255330, 29867446, 394065726, 195911953, 781401443, 504070639, 419382622, 736500216, 750644628, 776402254, 948438021, 550482791, 183683835, 374064047, 264930782, 996142570, 462216985, 159698236, 534997270, 957659958, 652435467, 385282047, 632702530, 686636003, 496329990, 588308517, 306167660, 915276882, 660264085, 261206539, 529577767, 526043379, 960527825, 371472137, 143676938, 468687928, 763070459, 900326149, 747698078, 960890996, 659972215, 640638845, 932279137, 680389901, 432892663, 962683918, 236756674, 778051773, 956869579, 1864928, 176042658, 941338650, 113407588, 598546948, 221292248, 862553852, 817497039, 876630419, 588138775, 486586696, 530658755, 488754115, 925026579, 748713072, 951595903, 141495507, 316806354, 262928959, 686156531, 577060825, 620020764, 55122958, 250923065, 151216116, 69928311, 503298422, 658333042, 357841527, 229431227, 600298001, 996265243, 584895494, 318657894, 879571698, 896795154, 886208711, 289896059, 434529256, 366654896, 685369052, 10158723, 909205214, 763208513, 652782790, 971484869, 780369892, 617642165, 223842894, 135471044, 150643872, 588884754, 916035068, 773790979, 658913006, 348128187, 835334282, 469632201, 896883549, 225718400, 930694631, 548746683, 126220038, 683787517, 412506219, 233298896, 167805799, 337681339, 280224351, 667844210, 773517688, 63351775, 987180971, 321854021, 923154014, 336248902, 900068433, 303905794, 161353114, 938345246, 41175877, 416314606, 752708250, 475789286, 632730991, 229233958, 740533274, 72765360, 70184957, 306187474, 295147514, 845469061, 699516525, 967305005, 273040619, 234392177, 518780922, 993147839, 34470897, 430058336, 965412926, 155696676, 905855881, 640023894, 692195872, 547009835, 640942550, 224326714, 721935623, 714643218, 722088582, 873585914, 540273932, 473874320, 349040499, 117943897, 687298970, 741273642, 989936930, 202009241, 438385979, 623982603, 44218362, 849356684, 368584983, 257509090, 41556264, 703173890, 397118505, 489176745, 94049903, 830648559, 237843559, 156503529, 958454600, 211394390, 81836913, 563888047, 164872458, 550543095, 548873346, 469194972, 731584198, 557556445, 950902226, 604221875, 263103555, 41203706, 703440297, 815560508, 362997023, 47327310, 213268570, 198239150, 686234695, 828177661, 254018183, 847755255, 561459186, 109893133, 527528842, 548232939, 996215599, 381073207, 47310263, 778461447, 724775851, 137464861, 398507028, 233902132, 922365606, 443949593, 753912916, 293083426, 320370985, 165333391, 883445137, 990945525, 728536063, 249591004, 202500290, 604698034, 264843630, 775305845, 100598745, 413088633, 597646407, 509158444, 257792266, 107649747, 409731741, 22114873, 119007590, 135556896, 485923556, 482017091, 61925401, 80733447, 521040661, 960358823, 573433162, 693326284, 587229693, 577398563, 770292102, 442548455, 16186533, 815007675, 979726830, 11419931, 918322745, 222591662, 149499837, 692412536, 609644521, 666979184, 14307163, 667354471, 343122859, 948228710, 666778160, 261443494, 340746107, 901511799, 109002019, 773147263, 45977041, 423016367, 853863415, 820303653, 123329754, 396563912, 371167663, 5174532, 591171828, 612946599, 655823739, 799022885, 221543722, 999025968, 427023907, 616779060, 543906488, 964900222, 766265513, 341183172, 504675079, 733475147, 618991188, 684419770, 424705378, 543362883, 486796195, 755850608, 319341040, 28895222, 493750344, 127371669, 586559122, 763184998, 850335179, 745631429, 738964534, 724601597, 535927203, 599840601, 779771727, 86462472, 523342504, 761368795, 727686122, 293606588, 979292766, 229750365, 562688691, 808116415, 293770669, 441142124, 663284380, 250589369, 122452513, 533741283, 632056635, 973161809, 825678961, 737784484, 228636052, 70787389, 938786943, 356478742, 497536600, 905171869, 576763735, 668168745, 303524093, 13728102, 568475085, 130340752, 151682600, 122756996, 774706136, 68116481, 11078552, 311623321, 796971660, 802195981, 714738303, 732069753, 495482396, 82680899, 723178060, 920016478, 660359656, 284338357, 934260049, 750233210, 442501992, 145277922, 787106515, 556983803, 913098816, 160657621, 446512121, 838272604, 542632262, 804053690, 131442646, 705329977, 213468155, 764236929, 320877037, 381665354, 731189516, 628434050, 592667030, 766967476, 728109825, 368906849, 798029692, 420832609, 632033476, 800727529, 282253708, 468786234, 95777256, 357452923, 270480590, 754484317, 468231130, 938856586, 897804419, 533195164, 818633313, 323041572, 92406074, 7348017, 624860376, 496061253, 925290011, 955328203, 198946938, 322323360, 124747525, 190819177, 22684122, 499602772, 419448565, 641227954, 662172938, 703467210, 1852176, 679402470, 766491616, 853870808, 373406034, 670829864, 681511546, 205518726, 326725184, 275818422, 304521169, 862566852, 765511949, 59425234, 547890217, 916634345, 260341415, 708066847, 641490687, 104919555, 314952705, 150133418, 736205191, 252950931, 701605690, 139056781, 143679253, 687959433, 349525669, 346385928, 147660628, 700838464, 767943134, 671065992, 751008901, 150929656, 269609358, 535064972, 99766405, 848970262, 264371149, 335796848, 719218818, 9940227, 824290150, 986114192, 808445529, 424904670, 324279123, 220351840, 324290984, 833970024, 767665757, 559241827, 185165582, 140601521, 371780144, 793231567, 19894892, 430883585, 699991969, 889057858, 78929471, 149634271, 135069669, 120810408, 935661469, 683389647, 959037732, 778754578, 400424986, 817760206, 280428126, 214201670, 669318707, 714734433, 97333924, 384127674, 345122746, 141818128, 541931210, 985551490, 462789767, 478669034, 532793487, 558722969, 864795904, 725225090, 353538775, 926719358, 436671202, 591282431, 162099606, 998505748, 128994065, 908107409, 235558687, 585367523, 687337610, 977404339, 402638533, 710941136, 752780150, 424407648, 874828482, 919367474, 109746069, 619604742, 842015298, 534573590, 277644816, 776422371, 44957069, 153150338, 810400200, 521917051, 395006583, 640896140, 732232983, 11586803, 753322675, 599272868, 279864049, 695356348, 380051579, 746256011, 184162653, 818432170, 378633177, 527723407, 438043093, 425184002, 248857035, 240253943, 544859581, 974319774, 610800957, 995837925, 967977540, 241841313, 707513632, 770945505, 2773393, 617972447, 524660504, 986559697, 614537706, 109843413, 840751530, 800274315, 879427851, 636959428, 464854741, 752595672, 600003994, 56520576, 760893470, 136306590, 876395109, 692286217, 502841047, 423380576, 61090198, 894866861, 560995886, 214348358, 39884570, 712571316, 425079536, 694569095, 704361322, 877671755, 831089344, 159204254, 848018792, 330229320, 965656881, 690165615, 985303270, 767209802, 696087630, 904657214, 142984579, 542793650, 715330369, 414910452, 250382445, 42810572, 986162704, 990023361, 164643856, 101797138, 602476779, 336642993, 600318339, 313830982, 236358810, 205323882, 638712614, 771922573, 588916727, 845136229, 536523287, 192579719, 841630137, 217180380, 119603173, 833597815, 292095677, 320102446, 14905830, 83603725, 186390955, 725883945, 400795847, 144232290, 211174276, 19969981, 773005708, 231197211, 793221499, 110039785, 255782499, 229367973, 379108767, 135023214, 403590337, 766536063, 318087147, 437306221, 443159520, 53231197, 187914733, 186485914, 947430477, 824880312, 99845325, 586310739, 147880745, 757689942, 480225865, 884196104, 724458463, 437300611, 528418070, 794761615, 81053361, 260935829, 433993397, 486730705, 409208184, 227898548, 166952317, 326203202, 804441387, 970435240, 213109729, 299376038, 608484533, 614086434, 569726618, 642417041, 939807507, 501528654, 521631135, 642174676, 768013133, 32664160, 284562482, 463754885, 528806925, 734919163, 474628748, 601194090, 249544527, 771510533, 645822504, 219348256, 308851395, 487048350, 354027557, 529222429, 233041875, 796744258, 344722296, 54456119, 966170966, 444614173, 106160788, 92379911, 542153412, 932589788, 21084285, 66689461, 435968342, 284961973, 294348860, 302741628, 545766375, 274948478, 658770497, 372058635, 389839982, 814102898, 763128115, 553904866, 794171112, 727875519, 317183668, 521352642, 580884019, 830802225, 985392151, 797419239, 629907440, 637403157, 418749339, 261634107, 463480826, 374311457, 479057829, 140194937, 40370952, 300461749, 389921145, 282864210, 471704331, 622484842, 907092139, 919889922, 887950227, 85008962, 124813194, 562004291, 897476454, 993609390, 404455091, 206455668, 243914991, 414149464, 64360883, 318681081, 848085621, 681839858, 967338519, 318545130, 458081651, 209603701, 917362653, 564129151, 833454844, 58462927, 940068900, 833518678, 220223820, 339608426, 391518142, 299640446, 769413547, 495099294, 401146699, 507155190, 118029580, 735427658, 677145253, 855991427, 277340214, 679562578, 826011061, 266456921, 265927684, 777632559, 810447415, 643970436, 372767736, 321921330, 451658917, 867577908, 181474705, 683271196, 279862204, 789125808, 298236469, 986691883, 930082443, 232896174, 298169652, 367684932, 318634145, 798891381, 98818838, 705157878, 167773018, 75154030, 202385048, 315947231, 735818772, 806517444, 330913934, 797794677, 396553846, 136074564, 101598923, 658865658, 351358164, 727537208, 925896815, 73336052, 316107707, 616332995, 929450055, 994943597, 997132741, 723060435, 320006446, 374771345, 335247825, 834151687, 498083513, 701705956, 386598606, 302167781, 675221844, 675117933, 578222047, 737243707, 704885387, 739217281, 809988831, 390797612, 745954865, 677885937, 391719278, 666004980, 642750899, 454836291, 964117552, 762298815, 535051889, 79469651, 135488966, 935527747, 728181968, 598017374, 232778268, 819798847, 701308356, 657166794, 647647231, 376664798, 300645991, 741459030, 861564258, 710762354, 50971726, 329060413, 324196205, 626600453, 608408865, 772816592, 407112287, 376708593, 876193677, 886854642, 74760775, 35784394, 712288626, 643612706, 437347958, 592694728, 578940060, 390272813, 541448221, 875382927, 457952254, 322453710, 408058610, 566599132, 18886587, 743645638, 228724009, 738709622, 850491059, 744659002, 294186725, 845792042, 925495606, 153124415, 287462864, 794054943, 195333208, 322361003, 572593617, 86804752, 66769471, 132085725, 308606842, 614117544, 361700944, 256597380, 144681895, 272949560, 6859641, 307359239, 533564250, 496470802, 551335910, 433102387, 45805144, 885594589, 455145636, 32686903, 34556333, 176412464, 884193066, 482503837, 903104170, 442038892, 37281303, 253761603, 419253466, 966537319, 439651181, 228478121, 804736847, 199182714, 309477271, 815705171, 511124741, 135187980, 53348787, 14619523, 389280165, 588465017, 304942713, 108788547, 572786800, 331692029, 118166083, 533690604, 962043242, 530590007, 211766443, 995108204, 317883054, 446335474, 13653370, 151359685, 43405803, 702208488, 474292709, 866748661, 410157439, 311602955, 642160460, 587369861, 536644904, 440559880, 894780571, 79925606, 837947309, 905687497, 253322863, 268972503, 118232929, 645801423, 97235104, 380554238, 395002598, 470194092, 845062624, 520119405, 50649832, 481785253, 725124531, 938125894, 391603298, 266153685, 328188582, 472665690, 893333876, 86934475, 174029777, 454087773, 874963800, 991495711, 224468844, 872581620, 651803981, 523586516, 508438322, 823886942, 816836362, 840054325, 963670520, 900145393, 337063505, 333570810, 182227852, 486169920, 600941438, 349268875, 156123866, 136390574, 773664267, 890005139, 945843524, 618995132, 848920491, 152661243, 982385936, 363201339, 530140041, 32290103, 93273673, 559952565, 632851955, 915567826, 556840431, 458635736, 830120820, 670525962, 504513389, 389372953, 718326486, 612056870, 665752457, 211491411, 846779777, 824718181, 495924958, 692398841, 959054757, 23557249, 414022349, 814350440, 425282957, 80292023, 199274393, 224843545, 246520811, 206618574, 992652418, 612469681, 408484592, 376838628, 38405177, 778505846, 151771996, 904547726, 19727132, 713202228, 989466118, 430267299, 977421269, 691089740, 376751903, 515990152, 650376375, 861894823, 145115471, 55672274, 734369547, 964193207, 468953012, 445495317, 535704766, 408699544, 166283998, 139941389, 237212303, 447265928, 616581199, 574107788, 649982766, 883967291, 36274920, 627580659, 997115144, 737259321, 84091577, 715916418, 900775314, 578508115, 208560649, 115498904, 265565893, 719720048, 748950174, 327250058, 106475586, 212863650, 622778591, 30337435, 907043881, 997311675, 834291850, 964202613, 507767464, 829570922, 795307828, 494170145, 108744165, 96938833, 513387679, 461489248, 696110062, 170139187, 3227602, 188419447, 496815981, 857654973, 259949843, 360529700, 301037714, 210858298, 743934717, 766306082, 743378069, 882730339, 502774557, 819756889, 639263650, 20626285, 676808621, 20354810, 641918017, 736814330, 59789319, 376067608, 358490539, 469175327, 63404781, 504772403, 586790040, 565798435, 362711253, 752184707, 951541265, 609110988, 463690330, 755539008, 78066373, 673193711, 139748648, 636283218, 184106540, 267258503, 15263995, 601958933, 781284644, 494561805, 287653110, 590253963, 505752075, 653929099, 127063079, 589447023, 727395196, 730111825, 952375782, 248930184, 749255835, 982449204, 747599487, 870611105, 360968813, 552874133, 201539611, 594720335, 346599828, 401045034, 453592701, 86757586, 952272348, 366218126, 519317258, 170437409, 509156379, 8129882, 489170057, 510178445, 542872261, 983045333, 66542734, 179668892, 182339457, 286072885, 522541154, 156717941, 436268971, 981623728, 243445503, 795015877, 43936776, 625331171, 538984196, 365219156, 980305313, 101442336, 962398703, 429336051, 253548586, 353754098, 864657896, 663626869, 22800267, 221718636, 842227589, 904034798, 662689385, 863239320, 251478649, 83530103, 267225908, 504095527, 366659290, 986917293, 378949772, 573918055, 804074442, 28963827, 877801936, 134114486, 683582861, 986964220, 910531177, 455811316, 412804165, 952817834, 878699020, 155980752, 791532949, 621904697, 343576206, 162766437, 5607776, 553591409, 461501391, 47614227, 778357318, 483128717, 159409865, 838757241, 332130875, 338431934, 279874014, 111336782, 230379611, 145468718, 666095199, 582843105, 138164651, 384220008, 224690943, 219604087, 913653740, 266555964, 32825627, 675131353, 68910217, 812466110, 407644144, 733609521, 313197533, 670180321, 291282653, 851322428, 842607525, 69158326, 644683224, 895320340, 196982786, 235702588, 24974190, 788372399, 408003321, 126442540, 359616978, 611354299, 983763378, 446134050, 336699380, 616577570, 871189094, 326474133, 810492588, 909916585, 395807651, 916566056, 13413641, 89832354, 799073494, 110348738, 938972123, 470874532, 964750208, 854265487, 660134753, 708790854, 688918173, 138891916, 886382749, 223659308, 329224850, 337793546, 429982678, 637264789, 236351526, 179134911, 641404727, 813049033, 897176197, 796695739, 446597720, 750385352, 349207654, 370147998, 145231668, 90937993, 692660077, 895878886, 848808502, 739870579, 549181382, 178374293, 449736225, 47741791, 77945718, 370737785, 556076713, 208643494, 429788360, 32166231, 223354216, 17220225, 774782561, 18161840, 626404037, 326918465, 21158233, 289135566, 678438564, 465378370, 457159316, 273108098, 533518841, 269648071, 706486889, 475718713, 388581831, 69773757, 312978516, 234047424, 551252908, 768791974, 290950419, 128361396, 221288489, 771184635, 109991697, 59034412, 646574489, 663064871, 134020825, 900619915, 646865896, 314854956, 482429410, 863152067, 334158461, 100422004, 374804504, 575883956, 939347278, 697044614, 563802389, 551073818, 68406001, 80560985, 447397234, 46433886, 361793631, 9922670, 510111369, 566426459, 640523265, 983318793, 831528365, 637846054, 799921018, 989381502, 925350665, 205751204, 349294927, 950764778, 960347811, 74932193, 754959053, 953937891, 431377926, 599696603, 934568857, 69960290, 673938518, 478937548, 876173022, 947758506, 368878899, 239193094, 859414828, 670428817, 590208953, 966311952, 366046174, 238501698, 758610045, 175376800, 497086777, 353332811, 690645448, 373785761, 62249379, 263910698, 41659919, 768985816, 259526346, 581297435, 9116755, 719734226, 188398697, 978270757, 199170175, 606529753, 346838945, 784158581, 186420207, 140893477, 492586742, 702559751, 507887020, 582854242, 842813212, 58516652, 451599527, 609065459, 755882003, 233957277, 576993846, 85620898, 74056383, 288521624, 646341670, 247577538, 336048000, 163310897, 607926585, 948549899, 195578539, 787853801, 841921349, 504189152, 506939826, 85190012, 52902058, 308930491, 961700861, 790508361, 204187681, 544832705, 212112639, 621873681, 819683184, 784174519, 59106329, 925738236, 689909544, 231501733, 963501959, 934153605, 40074772, 664380679, 118367355, 839889348, 509277770, 8847783, 136655527, 493080778, 392884551, 488214790, 73740874, 228863003, 979105535, 713021563, 509867357, 704064117, 663027828, 800423748, 545228551, 580665472, 322418656, 977245905, 765248190, 951015523, 190331532, 98038073, 289472084, 774789763, 809720008, 360769345, 374928879, 799501989, 613666037, 328362611, 977121845, 279586948, 761518660, 104593005, 428596923, 500966732, 122461611, 133416156, 531369538, 441579339, 561087057, 541401335, 484551478, 962933909, 68828815, 936262422, 245192795, 302108729, 574804815, 736772182, 534283273, 164177857, 25870604, 951483887, 588166945, 589931645, 975390755, 872467997, 599678330, 464797505, 817348087, 376252548, 176091685, 989508962, 574577914, 959741275, 977829102, 181920390, 770240365, 535067416, 508163218, 472321680, 591967885, 726403076, 470480205, 892244149, 745115632, 809117891, 840869599, 522610393, 39366727, 621260115, 717342009, 462326160, 382647137, 144060920, 576714448, 347349925, 300746360, 149577339, 36076501, 361008706, 249020640, 980626600, 636806777, 474857013, 373943378, 972747975, 936227862, 782525928, 520855724, 706109284, 724031189, 621285377, 793941717, 594439918, 596022720, 423053126, 715539454, 658023840, 981037499, 900853822, 593076953, 312938548, 621751578, 128577187, 868964449, 370300345, 204233601, 759407020, 730487272, 939429511, 760360169, 607099419, 234153769, 794403822, 973717478, 712319924, 825817032, 797810328, 58866618, 728749947, 921727999, 712719588, 941390903, 502079886, 357537801, 34558441, 839903620, 737032587, 690314283, 184292713, 566645704, 748997692, 874448775, 895240876, 924336378, 163030313, 404514069, 755798542, 888128182, 230860570, 650351870, 859823840, 588641293, 963381129, 586188270, 325491592, 990348641, 550024371, 346105434, 54338953, 793847088, 590837772, 364789743, 66517391, 599678650, 404648195, 986403122, 400828672, 379826444, 93073034, 798202695, 948199485, 714822736, 420265248, 292025334, 852670803, 119652695, 6606489, 932703888, 522556738, 833677381, 762788956, 214181591, 315978937, 352251616, 955740766, 947441999, 30237661, 466782735, 504703568, 41764012, 680117786, 988670382, 349917913, 439230303, 779641867, 238176247, 323670141, 645509058, 43437344, 14838556, 662998229, 939103706, 972738981, 748044544, 713008489, 942955268, 35804957, 825012336, 831958908, 277297462, 656991762, 388517540, 94607425, 706921427, 839535921, 136731811, 701997233, 777391626, 380426638, 231791464, 364306933, 224630061, 985802659, 556848798, 260432290, 616502258, 923805925, 802796589, 602764088, 402465867, 108075762, 578459907, 411352971, 638461704, 819914019, 678700331, 119248952, 730903122, 577979127, 962072683, 521973496, 729988248, 541877104, 913177136, 400208668, 347035522, 529595463, 251424564, 533313977, 22475977, 106957132, 861872378, 995192314, 447261267, 658190210, 532692232, 620227724, 566026272, 24116753, 998333736, 11501490, 670680749, 329768777, 149715320, 794868264, 391746953, 330068789, 307322419, 249174033, 394267228, 233279729, 84287000, 729892112, 124624239, 682906059, 551094950, 716081689, 355690625, 67015773, 895958517, 144628419, 814004160, 983335457, 216952369, 714948515, 655707309, 849817174, 515758708, 92191059, 246444143, 242776055, 801707408, 967120967, 536171252, 285719234, 198404249, 497392979, 72219855, 973161060, 173184891, 71824281, 856813078, 827102161, 158013431, 655185139, 846195372, 850895874, 986407185, 987852535, 341770458, 247410980, 566673889, 96060634, 646113030, 76480317, 784602436, 735448001, 914843745, 518308140, 919120788, 973740814, 653853583, 390656106, 561738876, 414030318, 801746413, 868651505, 406778313, 666991066, 336058286, 242661779, 174787314, 354954591, 523429725, 334257202, 805322691, 497841642, 423797828, 335242058, 514620193, 779657426, 458600046, 56503647, 741670705, 702436589, 904185919, 458162468, 616550242, 566505940, 320146058, 634233842, 892033784, 677431498, 329374425, 528469945, 101644620, 541245319, 362323162, 862548172, 215363395, 339856918, 769333535, 465965061, 521366376, 798224113, 603007989, 283873806, 652484383, 85156567, 253390545, 566617675, 144777563, 388755797, 829554604, 795086383, 321652635, 152023942, 337516377, 182885998, 289843418, 833943168, 78822898, 619646641, 925518432, 418386802, 878701817, 113022893, 768488409, 847597656, 500390984, 973929644, 611932748, 861971546, 409973463, 682697733, 175075390, 745062616, 734111998, 659729631, 85827156, 470581355, 317215293, 685419000, 850245144, 512390821, 623610047, 197636379, 78913203, 184307390, 445651469, 54216151, 373746002, 814057587, 636993994, 510301635, 75169271, 801241368, 521360958, 155608949, 653318400, 735070407, 882112988, 234904159, 707451243, 165607957, 18298824, 644464980, 836669301, 458572658, 863379402, 607893209, 303304990, 400711305, 350202415, 772711671, 85562967, 520417813, 719153116, 801880482, 764952491, 905686983, 46800229, 362276183, 793320715, 942622583, 28477967, 483867128, 997852191, 770683831, 824162142, 686420546, 21006633, 83914096, 109939866, 132575583, 857850770, 954124235, 379303337, 464609206, 738524200, 255374020, 781768297, 387360208, 527124036, 588280960, 217926332, 669759414, 109806802, 293129429, 588011701, 369938881, 536412684, 600306029, 264535428, 177108850, 397315142, 288419401, 435139305, 368733747, 405435077, 574219769, 428458307, 797372882, 678967488, 684473439, 979571950, 617514840, 856811950, 43683265, 515404807, 415550465, 341147280, 483764641, 688306296, 190147823, 603025837, 663537828, 503734429, 272195385, 84295341, 524441915, 977981106, 274845540, 935186661, 929889741, 601703154, 282942465, 832373333, 286194255, 118850994, 159245110, 747869597, 592498920, 705017285, 15672379, 476278257, 196185957, 730175958, 239299541, 850975211, 165931132, 232159600, 608582730, 219106843, 820085563, 928101393, 547071346, 135459848, 111064620, 578150358, 669865282, 762777801, 137546177, 921314788, 279166616, 913418356, 684362628, 421568778, 368481929, 767024213, 405888725, 395518758, 521606038, 97275232, 88502510, 884572837, 461028363, 710582613, 196720887, 122571153, 26827230, 522520046, 700907017, 623668052, 65624186, 465615059, 23740015, 288068727, 161130849, 633996895, 521352717, 891914162, 736717189, 250904272, 188093774, 227979479, 805459651, 826472644, 591963918, 244324070, 546228642, 94967459, 819934443, 160123850, 213324842, 197610859, 185961750, 534171404, 831084729, 525660906, 713449163, 52244499, 104916178, 704457237, 497315992, 804506785, 991307728, 505725950, 161097587, 254634232, 964977009, 859797017, 63919266, 199242516, 669995827, 70395628, 407226633, 646801574, 852846786, 134819584, 968511605, 578436727, 113465095, 414130209, 219556131, 940065303, 550110580, 518664680, 533739764, 654827226, 117333355, 632415088, 221318246, 745153814, 578810069, 665043401, 212844218, 589688770, 1205503, 160504413, 840689855, 234858627, 654189047, 61011111, 906593389, 237108709, 914848934, 262582740, 195527104, 928644740, 303752501, 342327150, 630261739, 975170849, 235251731, 545752590, 352613047, 492175523, 12261076, 497195032, 850200854, 260713353, 825829736, 257477582, 589387562, 928405293, 206157591, 949181802, 360849585, 46741251, 295170199, 706295111, 533005651, 913306632, 430406394, 741165857, 80021536, 796900536, 120961904, 945295298, 503699377, 823026863, 864076956, 145683753, 163558109, 256599978, 422673187, 447914234, 142468997, 31147789, 818965358, 594543813, 296303157, 249567419, 363369253, 338085283, 29628428, 356155356, 51345863, 456529078, 454784804, 698937652, 585822628, 74265788, 175260154, 458538002, 230939120, 232923485, 469548796, 838239513, 96086155, 628023891, 227459915, 425460631, 993421207, 264262663, 275206241, 172747344, 151804428, 565451014, 89812929, 490047659, 432136891, 705658100, 822208812, 771627003, 947267948, 33541487, 639644191, 613739182, 236816760, 748852163, 601725339, 269944973, 92981780, 215717120, 773829412, 803903030, 577144986, 299162002, 962516923, 801058070, 447283735, 863351163, 451532659, 706986630, 202514234, 281319266, 754320382, 142719597, 294399743, 549907959, 640829798, 909892845, 302510270, 939178705, 566223859, 80213564, 88440945, 373137426, 351286323, 862895698, 918248913, 849726982, 180089737, 173106597, 410742198, 432492815, 661614304, 547529598, 983521541, 198071539, 126017389, 370338220, 541782419, 218443222, 830989933, 352969273, 387380376, 140055440, 841195049, 552898958, 166452525, 560206661, 829341339, 753650047, 123074525, 628131242, 332790821, 840548027, 72009381, 384904738, 609014728, 96424802, 460002418, 595243342, 837870170, 69695324, 878134806, 544095881, 61215947, 503654930, 816059001, 619468219, 276779715, 598800030, 897738735, 103810351, 93089515, 714224793, 881448085, 371175153, 843733907, 362560589, 20289362, 620895065, 84695449, 869708050, 675467852, 129037906, 382975751, 625823232, 356284245, 76015016, 327012849, 436684624, 141933157, 803595559, 327182174, 537684153, 781397188, 77662475, 420165865, 700286416, 796299995, 320951803, 731905165, 749115377, 984320390, 393545864, 624095621, 955450889, 489947084, 236203250, 80857222, 470995416, 951285508, 787951557, 646472072, 761708369, 812139984, 788466185, 31384586, 839766709, 562775948, 139952842, 919745781, 820719003, 706596706, 399043067, 444197511, 575249403, 312553277, 796552355, 325460064, 567306718, 482185227, 898980249, 223432726, 899496448, 621613996, 350837707, 965679026, 487872058, 737161698, 804657984, 408251822, 783478500, 337445798, 555204131, 735108006, 766183939, 209973681, 372720545, 571674581, 416301187, 696277719, 163534652, 999818146, 30590342, 798589899, 694460848, 655814183, 244366492, 906589106, 610862786, 356838282, 926475778, 937122236, 459395723, 452086887, 588973167, 986964719, 724940159, 522712810, 808932525, 916436498, 776846029, 311562741, 242803330, 599380320, 725446071, 23527501, 60421952, 227194823, 973365632, 106210932, 327262111, 708491323, 741124486, 547238252, 475699520, 306510071, 359402814, 344777535, 204543331, 162599917, 491636895, 530685425, 914844145, 880792222, 853366643, 76578823, 214209159, 423847362, 537485380, 683016635, 705096175, 244533398, 966239035, 776000687, 240691101, 588731100, 541684456, 688172583, 121664892, 587126223, 132445809, 834711812, 583908185, 919947384, 381015076, 662856505, 459182314, 736962031, 106640340, 675526035, 951509132, 823697235, 780974982, 252259208, 719029395, 887690181, 200965479, 535180573, 411851227, 323830535, 470094292, 597218120, 857679632, 352157050, 223935420, 334915641, 281997926, 163353768, 38734013, 825453155, 718940329, 8894949, 43398744, 322438157, 467639557, 629607849, 764612699, 620392049, 636202752, 692796995, 493952614, 588475927, 641719531, 745731048, 500883891, 957185974, 211676195, 848581709, 705847154, 337470133, 368884221, 386404580, 800215375, 355322806, 472879812, 154798360, 900468319, 970839863, 520786401, 216812551, 263838503, 472833607, 932924772, 398018424, 463334328, 671492619, 585815892, 223362314, 596263207, 263536048, 751186654, 460313819, 459759862, 793458978, 315934395, 410097766, 278863467, 721237419, 543877132, 860850304, 824053240, 281103572, 180739911, 520622343, 948181537, 44061155, 329406026, 338418155, 414983035, 919201749, 490882694, 97030014, 855327287, 516933976, 483067880, 281127190, 774444700, 911361611, 355166865, 323963799, 719114777, 480826569, 814281471, 560821782, 880389161, 423475300, 158387097, 821219147, 857069543, 942343282, 541211718, 742509905, 565682167, 306730301, 920437478, 545348230, 78788805, 15028511, 32353416, 611567357, 805587935, 57927175, 905287540, 719098155, 863122272, 911582827, 201907424, 596349675, 131811626, 978112330, 37621103, 106460903, 174457679, 470245255, 960035489, 797359122, 140608219, 409057087, 135655817, 533428842, 676024043, 581130494, 367129118, 850386483, 352174614, 576878962, 972849878, 341284562, 90193885, 844628504, 536644203, 314742620, 174242389, 647992802, 869317044, 239701096, 736300129, 395770260, 686276701, 495900547, 670036213, 460216635, 839481527, 982167539, 361086645, 879651012, 210755006, 158278358, 206501915, 39670966, 775122954, 938088269, 879076197, 476452809, 780612357, 836275479, 162467215, 154449238, 570108767, 517523912, 747041056, 919886302, 305429155, 647880599, 784800816, 537037751, 269123222, 752473138, 434872937, 127054663, 208307331, 674291944, 798338580, 872993269, 401172157, 31513175, 436215317, 94739545, 692244682, 142217625, 543687030, 779438820, 260664801, 278246468, 891315789, 777025612, 189794774, 247932195, 780769623, 962461114, 854533354, 353186769, 219402309, 266800681, 426437118, 825889612, 613862892, 172510535, 926733085, 767124053, 624930091, 282795377, 983304557, 402987150, 420304250, 470365548, 125109793, 942616507, 467659665, 725967424, 682431588, 618490700, 938358190, 748137126, 689737946, 4942446, 263020789, 911156563, 281590747, 41413862, 763724202, 168786374, 373541948, 491963028, 796476560, 380638949, 550618271, 366212392, 802540677, 935837858, 145813078, 26551902, 859908998, 741089122, 879324755, 774152183, 553397969, 522102872, 293403961, 496186193, 631764415, 268840672, 283489883, 411464941, 417291627, 619799331, 312625436, 46831119, 773932673, 849779692, 973613102, 992126841, 414905241, 853962336, 804524588, 656105290, 858541579, 110395939, 206785479, 829208443, 183957528, 662731055, 35781770, 640217982, 420058710, 658375432, 68313201, 818028128, 239760537, 416142135, 953810793, 651614027, 514216357, 858989787, 494487095, 735211620, 765594898, 117435281, 587467512, 590070964, 813815613, 402712935, 15804354, 573914241, 214613148, 389224738, 568673621, 318959288, 602779843, 975574291, 74691537, 959635651, 252439638, 458082297, 39603552, 437297350, 566696572, 983331453, 117707221, 145705636, 779143775, 103787887, 270487562, 913375199, 243993549, 548463479, 914311520, 672330954, 830288691, 367161313, 638779056, 637671261, 303322069, 110959627, 943604802, 256169981, 227095755, 852797938, 838255511, 320953904, 863953526, 14441141, 575279566, 652156657, 217747379, 640053737, 175095416, 726275715, 837783160, 787174557, 409652156, 658790882, 573847387, 563901990, 234563918, 346661955, 961591811, 548185110, 786115667, 863049700, 638957012, 255114875, 288038496, 467032482, 645092113, 285548672, 363713616, 709716174, 444432200, 349084066, 82825929, 335786001, 616960071, 94503766, 795986773, 670604306, 368981550, 962109534, 371121631, 978466398, 363776812, 147204146, 206603939, 970039684, 396604988, 825699245, 56015433, 268981307, 307848633, 218727401, 240449452, 672875355, 259329744, 633364459, 986812469, 537775898, 612099368, 948242363, 345422280, 64429111, 119958242, 265279604, 703981293, 728174100, 270394721, 241347597, 356142330, 392246814, 633952461, 80359525, 980557227, 13963311, 793218427, 773011997, 768939585, 160713692, 97359885, 600189868, 109537383, 141566816, 304099723, 410747366, 990859695, 571907447, 569525856, 160859009, 670484355, 94417313, 667780536, 211780454, 882817429, 939658049, 626881189, 85035934, 595811313, 119578134, 153477526, 348389219, 599139347, 810176540, 721797530, 45900141, 478292114, 472864149, 193745932, 174149504, 558550562, 336485346, 242936727, 797941325, 467779889, 67391197, 258002084, 672875761, 986502880, 803458934, 782388664, 658024277, 443439585, 637118359, 10708628, 723242867, 163909084, 190466057, 407304098, 344872169, 850881357, 870774508, 937426353, 746032366, 502326025, 507091560, 236814921, 118350398, 481434759, 242804907, 565890242, 190519382, 410660303, 588180180, 675786818, 722252171, 501379885, 234148779, 24567701, 460241959, 211612603, 610829177, 707635138, 495982828, 311356747, 676330764, 423686324, 210432426, 111667295, 532322683, 219051364, 53355005, 520742946, 677177485, 870308358, 643578492, 297412394, 361790111, 955721067, 465286596, 910137683, 967273597, 934646496, 848374296, 519076556, 827220311, 789421408, 682391161, 43176800, 373390629, 370848051, 263315065, 15886559, 564272732, 826186489, 210193161, 857009991, 693843285, 527193553, 980097975, 221732978, 368733403, 433713321, 400078335, 280043999, 396627078, 943522696, 753382638, 964705984, 439332446, 853231912, 322972353, 669093723, 807342982, 810615643, 213434947, 30829992, 647675765, 287910199, 693320793, 163599032, 553608597, 979987352, 981974890, 653222345, 299330987, 672380744, 287036926, 129620954, 376428456, 622849467, 591525864, 287801742, 280103233, 733202303, 542327826, 180788796, 178480325, 514037798, 243243436, 277296602, 583188153, 88015190, 617692891, 922350820, 689738783, 648558829, 909650186, 278357792, 99840689, 908065991, 4133076, 307386486, 524163825, 72061263, 999981445, 295494703, 823642500, 542062986, 64961814, 957708038, 184238574, 784326259, 53216514, 809426915, 641804990, 46852664, 420412893, 55772494, 815936469, 175592968, 841048870, 29556582, 528830101, 466328442, 376322738, 92636757, 295787911, 391760878, 834893100, 763465822, 720294276, 93196459, 902156859, 198773285, 220538805, 126924682, 212057933, 360608998, 185176868, 276048725, 991750874, 144127136, 93566557, 189186444, 477514444, 574352595, 681964141, 497737123, 553366449, 599682129, 979480401, 182409325, 833739461, 157961150, 8730803, 952392629, 199845907, 960144569, 735691596, 565130880, 969651824, 171198865, 16322468, 29402316, 751687860, 359039166, 44581967, 815367014, 131680226, 806823958, 177198440, 535040465, 997929829, 154269949, 950687581, 383218593, 225875551, 382275501, 387880351, 724419137, 810234302, 642549271, 700160866, 18954364, 643635344, 183207586, 994045675, 751660840, 365704413, 904391275, 906548375, 671881352, 425291797, 576231991, 180039557, 562107834, 953131346, 401378341, 142370840, 800468520, 398077556, 745693500, 483284968, 539154772, 314418625, 409057558, 486971174, 930523094, 509799054, 323276014, 284891457, 780601687, 783547720, 857462857, 735845676, 722312980, 358858486, 358472564, 718065027, 434985987, 610464787, 127157462, 645482942, 490616668, 878140225, 905288030, 144553343, 363290074, 679564299, 456123394, 302053432, 7602845, 565164468, 583675342, 161754167, 34634311, 262987207, 374560957, 941883138, 705765419, 741289921, 386670602, 595171422, 884591359, 661174588, 823047701, 902087911, 246808704, 991963729, 810723157, 50581737, 50044883, 829273524, 161201354, 963304716, 610541674, 175684872, 676681373, 822577802, 404182165, 627557884, 547419690, 29817491, 680807216, 41816711, 553065112, 329281831, 314673508, 96553913, 406153979, 385817558, 390526660, 680536405, 888451440, 916840300, 577119544, 911266607, 264878686, 149611057, 964508023, 510563214, 534109757, 749434426, 894462047, 365707856, 142447672, 702021582, 644121059, 658628533, 371362380, 59450686, 115070802, 108378513, 347560450, 926817322, 818007524, 368503529, 559649548, 250939915, 528795017, 809171668, 531907075, 194678611, 199297853, 840267548, 852215441, 998894252, 116420853, 331398744, 74396763, 831374325, 776545662, 526629691, 823355449, 852987596, 593986123, 92767775, 846069418, 412471494, 558952815, 639740835, 745679212, 129667448, 653690657, 451524786, 985160071, 364011670, 540100995, 620740063, 929627077, 879445384, 100095230, 70101277, 538767854, 268264276, 894240445, 649029039, 820365425, 28508104, 585982120, 490651238, 158421322, 282650139, 839726149, 239019088, 304462128, 424508392, 244741592, 419244172, 363150362, 973050140, 104803004, 560526869, 186503479, 21350359, 128419587, 401231856, 865957279, 583517521, 249527829, 417777058, 255248238, 233657211, 565734902, 113420933, 866383523, 479927232, 794268506, 382414683, 417591916, 78724690, 964099856, 246666106, 663099924, 184187188, 658613119, 302437027, 814930597, 82629294, 420319466, 642496658, 59654667, 57461854, 992705241, 854176511, 781599418, 587777507, 806242756, 866251509, 156570209, 134587058, 901107894, 617280358, 163913920, 666394012, 614518567, 262078199, 142945736, 890121858, 20498891, 307872700, 958733433, 771855648, 339002116, 563610907, 161399295, 192568234, 918523610, 768273020, 320816796, 658388130, 51282694, 492894004, 711746737, 464952785, 618619932, 383091350, 442916880, 534701918, 770711640, 117731315, 483602500, 980922083, 182620579, 178612007, 862161198, 945781629, 974486301, 912985638, 178488106, 952054663, 909218827, 244769709, 378896775, 927144357, 250737180, 154170471, 744036805, 67565630, 457395778, 825397579, 78386245, 353226931, 956555384, 726207995, 46971139, 259439853, 929439874, 897528676, 809619552, 873892332, 119083417, 296130849, 736104563, 881734593, 526149644, 650624930, 554112084, 427255767, 398100561, 556241854, 925409812, 496427354, 958537554, 396657903, 866413574, 764082278, 867725691, 653702133, 99390033, 542809069, 449222511, 919644825, 28700361, 573354905, 975105083, 544622038, 537623730, 565328320, 449531348, 958220438, 814574469, 465853871, 938938818, 208373782, 773463231, 543669568, 942789229, 323691953, 491874096, 921510591, 595186686, 524484096, 638422726, 602345981, 352960859, 49523598, 773629778, 684660963, 244259969, 939665931, 10596288, 604356278, 846896300, 181620986, 223792705, 686624666, 780581640, 428025568, 615771193, 95321515, 276458527, 730462245, 644726237, 550410456, 630374433, 300245745, 649608022, 250186836, 127425849, 406462910, 648730017, 529710393, 165095522, 143563104, 220092519, 383153221, 451415377, 486972268, 393504228, 234133649, 286755888, 154666315, 983009318, 731914249, 591579530, 56266533, 91359610, 797844628, 577035618, 803517689, 758123472, 384617433, 687159085, 649971856, 454632629, 144243192, 219008605, 881995064, 342870932, 506021753, 603117490, 742378514, 513400117, 604803804, 55189343, 350804581, 968428086, 77156058, 913111470, 779977742, 256462332, 438059737, 496675243, 121055665, 828836194, 729235708, 781587847, 454102447, 58537287, 840422835, 284951511, 718042544, 298775901, 95932705, 413396004, 286580264, 960746293, 869957259, 925007921, 57397366, 522147118, 254214867, 966686370, 790620384, 467627508, 772515657, 333142049, 190017255, 480280901, 775097262, 317696848, 560382850, 998565101, 282008891, 555832848, 544342054, 366343965, 149795364, 552970489, 645016142, 802549851, 921936899, 698836293, 407033171, 304567963, 424187228, 271044928, 514758285, 45607267, 290859745, 673919041, 625115665, 476641996, 40532445, 734599524, 937209074, 720234909, 947753530, 650567335, 674231553, 945737749, 792417282, 213755601, 730397958, 64303528, 11976964, 158066957, 420047220, 320339291, 281883473, 888422798, 938331720, 188321974, 510680176, 529410167, 461247574, 830381276, 136474091, 753347846, 272743796, 665675734, 27451731, 156493566, 574479815, 468333379, 868676668, 73957572, 333113017, 115764098, 542752275, 52719274, 774051935, 450342108, 72289532, 541687715, 582942742, 146312683, 146389159, 748986964, 617814802, 168815113, 965192032, 539013257, 618299748, 138250924, 861194857, 646040875, 125676496, 67312538, 814871860, 108782677, 783361775, 167934627, 641872053, 374117621, 9692201, 577620620, 19412498, 694822684, 615297108, 692324845, 378501662, 425292053, 25631995, 509852689, 795950306, 103064591, 655913053, 394306621, 995325610, 762702547, 586650947, 801234012, 611174621, 744358133, 173051397, 289149114, 885686410, 237884042, 294119725, 729872000, 399604603, 278156472, 132696919, 854033218, 602336713, 953577017, 521666925, 716466894, 123046358, 585258265, 680333081, 819146074, 559702697, 527823916, 978906157, 845408480, 812346283, 261138038, 145312564, 356360483, 982599539, 749474021, 494284289, 600246826, 561518628, 830228150, 903911633, 850313484, 675300140, 293540771, 890247459, 971756287, 509054693, 215845192, 210696044, 690285270, 49891029, 825614827, 10165680, 570685384, 156782597, 890585997, 485640635, 334389570, 253777361, 417142567, 144784930, 608892419, 325991910, 115988406, 237672942, 313008861, 318749265, 509565234, 783258417, 767537149, 200819086, 309421949, 415987542, 912762144, 794529584, 825636848, 188359868, 665419151, 95180987, 437446570, 908272215, 296221519, 162998963, 909813533, 836757726, 848417103, 706564920, 90042413, 853133616, 984712966, 871213053, 485778581, 412011459, 355596087, 994015127, 416371548, 779702692, 127750119, 846498412, 933983954, 744423957, 634742557, 128642495, 666434252, 655314368, 219517247, 95759154, 712219353, 547611372, 32407404, 837400830, 946113140, 330236336, 512899320, 211788064, 461071695, 210684988, 187689706, 413803561, 434369327, 556492164, 629173491, 637889340, 920254562, 332887816, 626764750, 614725985, 796599158, 100054413, 919543541, 552164045, 929424292, 174611751, 338467885, 371190620, 906311848, 429899036, 933307343, 489862351, 36104735, 328850501, 55699439, 158404075, 730949335, 707322679, 365946589, 473891462, 789431683, 649679540, 695223318, 873679337, 346352325, 795518031, 55122742, 494728288, 761195333, 599241594, 761568526, 683213338, 283747250, 106947901, 751458363, 25602653, 167662317, 149888653, 792752598, 976344331, 202629758, 665406583, 885994869, 706421791, 474567984, 873332783, 6203682, 628801924, 566435523, 285649968, 781299694, 119333112, 887661924, 89377258, 517687814, 855544692, 979194040, 753208631, 866522938, 594214260, 442855147, 674322900, 89585416, 966144529, 790312204, 952102412, 168034003, 396972340, 207680527, 558026016, 465726421, 933355393, 922880570, 205703752, 344078714, 51622632, 211367278, 573955916, 304897268, 893964107, 313362634, 813377718, 878951986, 249291892, 399164183, 718198170, 50141523, 296429879, 410924606, 508482618, 752588268, 811178133, 556324834, 289689633, 643754287, 521710546, 421811372, 540138273, 515056109, 255108007, 770525762, 425670326, 919140088, 72057263, 734977956, 64054074, 983444141, 686173426, 296476194, 539802244, 363361692, 740329862, 753110032, 543825884, 321762144, 416538620, 236864066, 52142470, 243316820, 882569809, 576723077, 577883710, 359820757, 93433849, 870231678, 779360023, 469471261, 706339551, 267572254, 788080077, 495506579, 330030769, 498153617, 199201287, 733848076, 872621042, 943120463, 610028234, 93036599, 6797612, 823919509, 879226979, 314157475, 96176735, 322471631, 571978152, 279975597, 281392319, 295457155, 251364909, 567929723, 815621761, 771204360, 766731491, 249113918, 934042574, 708159224, 986698375, 130225562, 655421411, 632318562, 625638698, 974632788, 307493896, 188708864, 156470409, 965964337, 552964204, 141569499, 239983567, 219971399, 303685561, 848629731, 476507339, 639904129, 571209174, 683032828, 915468167, 551967720, 23483150, 546611530, 686284668, 443380294, 940344369, 323162181, 70674107, 189964320, 427444162, 470630046, 154778052, 598678055, 933583516, 636916878, 9625663, 589434365, 106545596, 265755641, 472138741, 241024230, 783340238, 431386065, 329464736, 970101503, 25546605, 26436634, 617640975, 996870859, 978519694, 838892565, 987970896, 373161572, 43883187, 673070697, 646330886, 647683569, 42791612, 496976744, 518902287, 478766257, 51141251, 711407706, 364519973, 689310314, 917773244, 434700541, 11491299, 297023522, 310831096, 398824187, 880659520, 514399664, 76947395, 989044418, 223272132, 988675194, 903512135, 30774038, 826862013, 165562541, 245735019, 568951976, 7728379, 653987381, 794504516, 406661924, 155162155, 66942263, 594826449, 57290123, 767818171, 372842842, 444733811, 143692472, 952191129, 596126188, 717370849, 657985705, 145167965, 21538054, 608298968, 118629471, 633761764, 19509920, 421192205, 689363035, 642640597, 167581328, 682377929, 267100737, 219495261, 591672047, 236304164, 977771340, 719262950, 543883912, 702472669, 718911028, 408337583, 895820369, 324789553, 302488678, 542524353, 550564952, 545591336, 383783500, 241165597, 517513782, 524779774, 342429826, 275242228, 758559939, 316472874, 96219333, 111322382, 739399534, 114283473, 137166015, 377193869, 728543116, 427038991, 541264707, 582131381, 98722179, 887524273, 987626493, 165063500, 985073798, 699893197, 917881011, 55576774, 47418513, 934711848, 250596533, 604940034, 596354087, 889495092, 400883918, 309547740, 105601457, 475073304, 254132493, 210431228, 202057939, 437472417, 568771219, 427105269, 720407778, 373101830, 331471998, 51838367, 863688588, 227942747, 69455917, 377928118, 699598124, 744195419, 784967560, 335260124, 543502417, 215209827, 617115046, 29757783, 93311729, 978638352, 356149727, 574961103, 335870881, 141814507, 34002254, 47736348, 983377182, 891321787, 333354979, 801327675, 818563921, 800555958, 862736316, 140195727, 734152751, 12472764, 775869066, 18638373, 344783593, 817587252, 28975286, 196839409, 548184, 305852302, 657547598, 262798795, 413032665, 955455111, 913339266, 844566799, 290939624, 893238651, 816014378, 365682678, 529049175, 584872951, 950160367, 721031153, 540409332, 359207958, 239886424, 807211014, 227957170, 574891764, 473030679, 667505279, 905482016, 371897740, 759047223, 227532201, 315683370, 855989563, 91808598, 443881816, 911370144, 349331294, 613428579, 236418677, 615720526, 125773613, 633255466, 212323199, 78585983, 226025437, 982860143, 38017436, 626869660, 393599150, 730151090, 490881659, 58932972, 485217460, 91124667, 134381317, 700143205, 956660881, 238510547, 603802290, 457200876, 49619548, 789859149, 281147300, 621541272, 963005123, 213189050, 92187652, 747627059, 469658790, 610197414, 197453591, 949018110, 220693762, 704638572, 803483136, 62562887, 763249074, 160535107, 899001616, 815257496, 357421509, 377327916, 180850543, 798477751, 24835817, 113828251, 793468368, 804759796, 858524861, 222973968, 73154680, 872794728, 598656845, 435391072, 933331273, 99974138, 564875103, 759098863, 212938849, 568704071, 461091735, 581553072, 839331250, 879009297, 506607817, 655607424, 118941037, 177733202, 743700168, 790958645, 248398201, 362961356, 444575185, 812262363, 507728828, 702244949, 764449969, 327164259, 749039199, 767293570, 894969893, 240704508, 979931472, 351683951, 256390840, 370740728, 838643541, 456996131, 632856509, 363843449, 2216755, 696792482, 536025976, 586564508, 888709311, 999605820, 528579306, 769625726, 667487646, 681167266, 720674706, 599557549, 253856267, 411553754, 445501027, 357118892, 28472119, 875523387, 334003777, 534833324, 217471257, 834950312, 670908483, 337508362, 642306618, 575657894, 636447964, 746614902, 326214147, 937651393, 205600090, 501649259, 264208458, 465982092, 693919450, 512784603, 573577874, 156264536, 275126165, 8275935, 462520164, 945226108, 686461680, 325651129, 472026850, 472384348, 7805562, 681110120, 820177657, 272556532, 842105703, 433736551, 581936143, 40740889, 111099756, 70835949, 222860785, 74433951, 423094029, 79671973, 230400767, 892234017, 273893231, 830738359, 494157140, 721231605, 500174465, 110797458, 723298910, 190892154, 756641766, 694554004, 540977295, 376513842, 35183184, 26220324, 355044804, 580228980, 431768358, 488319586, 768996392, 668080533, 989233701, 278925851, 259897757, 975362650, 352699276, 223707548, 265723509, 94493760, 878013939, 517427197, 501173554, 76772771, 615173959, 862407790, 941947685, 786188948, 787538055, 526082725, 405038957, 24177842, 396452139, 89368400, 571530493, 666527234, 341482633, 112322852, 916030106, 708565932, 963119891, 874245104, 630708149, 940032387, 329283066, 249566184, 118451624, 984914692, 727148914, 422242299, 119582340, 757183335, 926148392, 451722499, 274150693, 336713834, 722106735, 338784209, 915110058, 302394311, 526733133, 969472177, 732811116, 373488996, 431928003, 765226594, 724366017, 560255511, 516874130, 882920409, 443028183, 461282979, 698800800, 917285643, 707439597, 268302462, 737024400, 71825918, 158225008, 133529066, 478003726, 478094666, 730284609, 956086494, 159933664, 602170391, 989323918, 965104801, 35670433, 738269230, 594362728, 132739752, 715397181, 148548444, 411555774, 460253617, 196380562, 55993539, 521458552, 113840630, 536441264, 358831401, 824691444, 617873317, 263041019, 491031851, 85035413, 296321264, 703273562, 547025981, 323038547, 388915668, 322013892, 953479618, 573439790, 335705190, 635572740, 66192784, 799238090, 622503245, 487836844, 558379526, 20780752, 193391989, 237876989, 745865795, 175494231, 37555059, 902284383, 413907760, 65063961, 484257006, 358463236, 55737518, 771753689, 177012311, 159534726, 775001072, 276884918, 79065073, 146958408, 726361758, 49234455, 371574056, 553358761, 638187517, 225215064, 488875979, 721941009, 592344339, 916530741, 977711490, 836159214, 57970723, 634946090, 717105688, 338665225, 530782719, 217403247, 93254487, 278774973, 36049412, 45679997, 110102100, 354611918, 365760517, 960159472, 548650744, 230144312, 597541080, 66790925, 616045221, 656136972, 594075633, 635477741, 464282657, 78356072, 402673171, 363573539, 599303219, 782452454, 417651035, 960051638, 346987383, 399625267, 310362782, 599661617, 38351027, 922023422, 246507964, 134312677, 257147904, 770631258, 174000068, 861477341, 569564868, 671396827, 496784542, 988627087, 711065168, 438853866, 871960292, 547935579, 670358884, 17251125, 56764830, 828324579, 695089673, 251654631, 605213800, 47430822, 999019087, 632353996, 944757325, 428164488, 632733322, 329815669, 209536347, 168084310, 264871800, 959042984, 295319566, 690109179, 168695387, 479623191, 409922100, 10250415, 753899292, 927464901, 969460835, 633489737, 11215839, 370184481, 943846160, 16325015, 927721369, 152889009, 595697618, 42546141, 56761125, 348515622, 911185129, 160216482, 305212516, 924119457, 281989837, 160187903, 606172922, 296116151, 796195972, 206227094, 676233205, 312384875, 55961684, 315668903, 17850090, 638331588, 407705514, 143181071, 359468388, 589428767, 562825544, 890881884, 93109190, 52130843, 788496190, 800543848, 496509777, 57956870, 141776239, 382149247, 614226107, 858804715, 658907226, 785462462, 548283306, 868232142, 605287734, 858822345, 573456097, 911312540, 126468775, 811503140, 24308769, 935392938, 33322147, 446395840, 694797764, 382671669, 394126008, 271110076, 979918011, 599901870, 349272727, 722316178, 461401409, 561291837, 343789407, 821175965, 868782660, 292018996, 18770777, 493579927, 305361764, 323413259, 346363929, 601068274, 547311140, 771756668, 614885908, 940214310, 530250210, 912920480, 993934951, 6265973, 625114577, 921422450, 838952948, 445870429, 134244481, 128730168, 756722095, 309108109, 618419673, 660569067, 988769160, 996375062, 123541133, 768759054, 833369431, 37727092, 77449146, 115353629, 809189981, 791044226, 856354807, 307250188, 549545172, 882815954, 422739977, 217304884, 611834233, 637326925, 848223807, 616137335, 929940458, 589308292, 936230437, 844793931, 579390514, 677635113, 762245026, 73574120, 848959137, 103665135, 488931541, 246346405, 925805049, 405954587, 46282007, 664371372, 192759699, 465803988, 277638479, 585451385, 525374319, 538204347, 923719258, 158028742, 536932082, 659548293, 707474193, 782412812, 823260897, 527882541, 385184278, 847380141, 399561244, 83076117, 725285638, 678713145, 436271658, 873482751, 909628774, 875275874, 421418802, 856818560, 122238451, 57915934, 527277572, 251054110, 631939456, 235236476, 320186036, 524464085, 74439796, 522209249, 815757739, 381951287, 600062579, 749408051, 841315842, 936107146, 365828247, 491240285, 415608833, 426395217, 18212196, 785445792, 464838673, 537923817, 576191992, 84067833, 903729163, 443903021, 346668831, 176742942, 478237905, 703853709, 235772549, 845019388, 374522687, 555509340, 375096457, 95493065, 831289088, 291566018, 733191877, 861677507, 65327936, 822734920, 309909449, 568004012, 764740318, 557704095, 289566051, 124555032, 5276818, 334011482, 33275389, 328660940, 951788708, 219605694, 674990875, 79919695, 529947382, 492848129, 405049906, 916600465, 81917405, 699884596, 423939227, 192712924, 834851533, 955536764, 834248121, 658093102, 522228354, 628531249, 63948908, 910208642, 925652388, 608274854, 287684622, 354724678, 765008580, 563063053, 113382061, 397186080, 427560811, 607994863, 910811498, 831440682, 889761968, 179718466, 707816594, 829511056, 546589263, 167687745, 138923082, 54840422, 650520112, 491094799, 467384055, 536679183, 354110483, 216551143, 33891536, 766890654, 436731266, 402819561, 514760700, 6109064, 30449093, 816893322, 495290878, 51388847, 36663290, 31759515, 274054543, 419194230, 470091783, 49330406, 693541537, 845965013, 825290173, 180640972, 737245021, 443737210, 154951533, 308307527, 165588734, 845684564, 573884777, 486243976, 498837382, 19695713, 427428452, 898211281, 585453770, 386755330, 848528823, 593882392, 703146453, 484858322, 311317488, 472144423, 194838824, 279228642, 136753107, 68167459, 869213530, 217904147, 566051958, 47408775, 292123772, 89664772, 985043050, 363604069, 645790951, 287044443, 691189021, 463218398, 679338077, 583321243, 709726853, 231159648, 829564715, 951939330, 577870127, 829450703, 143445151, 454225399, 48709642, 785803277, 986252388, 77702624, 603236635, 671718115, 130442965, 99758170, 858719979, 517160968, 900099394, 878161626, 826437855, 998857845, 194643822, 505784954, 20046395, 511566279, 231709344, 811382068, 642411816, 832990484, 99659142, 506860531, 977017318, 948635753, 380586462, 707351879, 299956703, 736090327, 758301100, 600503646, 268707211, 626966846, 167772420, 203438442, 566464207, 124615836, 423170678, 682864572, 275371068, 22618705, 703273059, 417955042, 70032202, 118836433, 208538317, 812331708, 88353179, 781525001, 439052757, 283407064, 397982144, 334027532, 629628673, 270181054, 509930463, 177699464, 579301744, 434087723, 247272936, 701262604, 60397663, 214730500, 769062713, 932491874, 612781788, 841306808, 928659905, 875347768, 699394982, 292069721, 91596423, 346262425, 884653204, 973325796, 822978292, 663106873, 164468714, 942088715, 550759932, 98129688, 169108238, 430909857, 853785925, 512125390, 931203052, 192337154, 977976736, 785036092, 219087966, 100157614, 908880940, 409722092, 771688257, 218159873, 8418683, 697539260, 611610489, 78506401, 640193905, 814297941, 436410104, 276249243, 364452453, 230775087, 136349039, 957237297, 726885665, 526570856, 752139328, 80873387, 135672832, 301961042, 34087503, 16821881, 593909355, 889233415, 916088279, 623881534, 710995755, 489308471, 120937170, 437334406, 931458649, 227430100, 709098939, 183488405, 72792385, 502203471, 322436677, 700114741, 442690953, 854059166, 403913103, 573386399, 322532435, 638105124, 866323134, 931037233, 700681418, 386258889, 452867364, 376236469, 739418858, 549414863, 29858887, 249766817, 581214415, 721501897, 122293768, 121228552, 292908799, 607448196, 764305071, 825803539, 759907594, 315216832, 525328984, 79611459, 783564636, 666848587, 718736660, 273129423, 311663696, 505493731, 545441944, 934104720, 912920876, 643518317, 102552504, 832441239, 997897799, 47642648, 506343709, 217794004, 676144589, 302403049, 306800389, 265919820, 374863286, 273220066, 196692585, 568288050, 112454784, 704026112, 820737063, 823760411, 807087713, 327901149, 486377352, 652795015, 853411512, 182783965, 909507526, 180711925, 762077774, 303974940, 203323642, 775422546, 507225555, 662136865, 6738917, 154936523, 504108699, 20958011, 905729249, 82188064, 529635468, 720768542, 182996754, 793663921, 428965408, 523106349, 648545451, 930881627, 39924523, 40499957, 554110921, 626747808, 567688440, 312645270, 44584882, 620480486, 502327902, 130880488, 620694174, 965893733, 917464563, 740076884, 258254956, 591754722, 473387823, 411982919, 633737428, 956991853, 342183718, 900892530, 962770486, 237471627, 417388470, 378507098, 570508686, 417141838, 378666202, 44789741, 326855089, 113760620, 119455044, 10491243, 145111799, 114690467, 306931757, 108251931, 252300787, 352875816, 968155501, 801715414, 724573086, 506881303, 705016313, 618760624, 2416789, 15396409, 566454503, 436913796, 818599674, 30901323, 925320075, 678065624, 973970803, 739198382, 675031675, 441162590, 719588571, 563453196, 609395080, 164279981, 826553713, 524322494, 967791482, 163511391, 155213779, 475023217, 26329551, 543149877, 834875704, 606640152, 79701247, 678451866, 595437835, 612014995, 959194639, 884143074, 523234555, 638385722, 665968246, 131246719, 283321239, 213719862, 247678745, 318522884, 14856084, 932804288, 269631398, 759683945, 61153403, 67020659, 110591671, 222778250, 666831535, 910695203, 722881777, 675569715, 137781564, 505353374, 557187752, 512907190, 294716949, 250728925, 989955148, 325185107, 794853549, 584055546, 881890956, 968793289, 550051138, 756866792, 273078374, 891488987, 406091026, 748471644, 589282527, 191654326, 159956254, 564045290, 823284879, 647862112, 660848646, 509217824, 494192646, 364819699, 916608562, 296333716, 748999425, 653007519, 993327289, 848107309, 564628873, 513000711, 479927923, 364729177, 22769456, 642543168, 873594365, 733867788, 503719482, 92737775, 439027937, 513445878, 682265246, 624157218, 192278901, 471633060, 742825418, 332979678, 982231659, 659078827, 215832323, 568743257, 851158261, 999354081, 278318786, 457413033, 837061118, 509482394, 767761702, 731554703, 789576486, 915375469, 692022110, 690710623, 933149505, 304407096, 689557369, 237992824, 442354931, 743724327, 54676738, 102577570, 970589171, 123390121, 531616117, 439524589, 806755578, 559786799, 661387224, 353272419, 863567878, 127798719, 404097036, 986087101, 280768106, 656853789, 793720351, 583201899, 875520832, 51498595, 959286395, 812663540, 132863818, 791330060, 205025687, 602518044, 189529466, 977969980, 94459151, 668264168, 637356217, 67706140, 293582881, 413924389, 191252778, 925806627, 763512590, 452430745, 238319395, 328906275, 844157094, 743071706, 217647065, 996527116, 229661635, 953914586, 463040888, 310439782, 34433326, 858813859, 64121378, 317980396, 627508415, 796234098, 20323570, 623177083, 408423739, 742627246, 145536930, 100285974, 395063048, 783814233, 59467402, 19987039, 959073257, 472363783, 739392442, 503988848, 163779530, 451435659, 837897409, 103197842, 67765461, 60837715, 342876810, 336007185, 777874246, 706668982, 479055520, 447882505, 8809307, 212311978, 10790118, 970149578, 498546578, 245621590, 821518259, 805970582, 263706187, 803627053, 968150752, 385635497, 362458611, 43131100, 908553154, 867851531, 884619423, 591892310, 713587488, 988946601, 127263447, 539094416, 599276782, 659144169, 702979611, 346829331, 441795657, 792319818, 171961094, 236680694, 525793883, 285361908, 833667169, 34654606, 612526245, 218289644, 932342984, 99952837, 945238473, 654574515, 329139376, 682960113, 520829676, 955222381, 931424968, 157983956, 162273228, 717997769, 783444391, 999855926, 893547530, 437453422, 499281854, 732080113, 986995264, 167293382, 239047252, 665763039, 435221465, 277245023, 312767110, 766018110, 587157035, 840505126, 98280197, 229095385, 675163900, 7386852, 87532752, 635125709, 554474547, 525672296, 917970588, 11443414, 638444797, 598624820, 668969177, 23266974, 973495168, 628917669, 741409032, 51598815, 604430686, 367201030, 269361533, 566739145, 665547669, 115625420, 631881969, 509486220, 774728517, 321175506, 136168316, 192930065, 541352615, 511931163, 438682048, 748685529, 313799243, 753799194, 955659598, 974522431, 88081834, 476726915, 178816396, 132115938, 420611673, 207959146, 578338244, 576637748, 250817311, 864284931, 655161773, 211147056, 35843851, 490607515, 753801632, 64262206, 102684114, 826757904, 283276773, 341417563, 681424904, 381701499, 938313309, 36587205, 109445044, 778425006, 750868328, 506026555, 910628915, 224982426, 653669191, 9179817, 581634149, 571262118, 303300894, 638227844, 270317184, 269646356, 679171244, 197825918, 861892700, 625977139, 6964641, 778938995, 50794234, 364439226, 175506745, 396161332, 764831051, 937805853, 668596314, 620270267, 65761163, 703906482, 34366292, 122757229, 416082915, 479216585, 832702982, 509249038, 966179939, 590719850, 165470549, 250272954, 767655757, 282843884, 862295668, 438423906, 240909259, 730518851, 490142749, 326324831, 394592799, 964597993, 864465774, 129492586, 872778574, 179689726, 770941329, 608503950, 348866529, 837774257, 194919060, 9437885, 721964126, 490239775, 469135529, 130668593, 904552239, 840882231, 998143929, 88085817, 181961158, 836399841, 571429949, 429411492, 604995118, 311484928, 178749476, 12892435, 514750855, 981516258, 949803911, 975059858, 949915112, 737652963, 169425691, 271053765, 276104558, 164624188, 591889328, 320910312, 273825882, 158088149, 279159392, 830368972, 418551202, 373025015, 189031234, 958790222, 758915474, 63850957, 454008109, 504066675, 508679694, 392879675, 864080206, 987878667, 22867196, 50226211, 278868928, 990415267, 405471239, 335731803, 853778391, 576749734, 979725648, 879936160, 658209802, 640390398, 410208882, 85554768, 421481073, 872844757, 909136992, 212956724, 825346854, 905350239, 285971806, 976931990, 663337449, 203519690, 961769174, 796649615, 158806296, 742800165, 827694180, 26559346, 958855042, 363828870, 463724989, 278310912, 274910274, 843935868, 805371550, 186561279, 185728557, 219083659, 817920915, 925689206, 212941045, 432598650, 600652067, 842855656, 22473782, 834709449, 578422290, 137217753, 452347764, 554432756, 119419428, 152548376, 593347551, 493933735, 502778249, 791332232, 840776510, 679425959, 821962652, 731241492, 22619431, 695032010, 71989174, 306108483, 861121367, 217351283, 251272732, 840929824, 279563215, 485414665, 521027435, 749439297, 22715054, 132146450, 535376111, 172526378, 184845810, 515608665, 379409315, 941029934, 852139951, 44584496, 946225084, 878944783, 334324371, 590167450, 654412148, 945280025, 771403200, 833577166, 67885549, 162660784, 328930657, 125003699, 612776268, 684599673, 367425318, 571552556, 642247780, 811829084, 55221258, 687194453, 990087760, 270955382, 149604069, 200123651, 879935964, 572201045, 748222880, 383118578, 517393649, 392945652, 778813400, 913953875, 780615377, 305862597, 810668457, 822288939, 728877423, 457031254, 248116769, 78798857, 894724986, 341068877, 980585188, 776129605, 767281333, 144023823, 69504337, 845035941, 492657552, 73207814, 505706156, 243243239, 334636675, 954320202, 567389390, 482522287, 930180865, 825854078, 829201295, 422561313, 826496409, 28636623, 368731985, 314643282, 875965227, 111470736, 761904779, 274763716, 130221145, 784367923, 538596337, 250434430, 158870183, 303084754, 143392898, 80916499, 833083285, 166823857, 920070660, 954750241, 831258239, 469651847, 178088176, 809551418, 319300430, 682269008, 909800061, 800555957, 630565504, 639672756, 727330158, 709740431, 438176999, 843933686, 455695437, 859756389, 5796298, 349210376, 894660391, 741548284, 458030184, 536597890, 750439623, 255978424, 171882553, 981843785, 349136029, 207552884, 428463842, 551810216, 807699105, 30415878, 484221727, 595039453, 263773983, 581152495, 832525073, 672649455, 485934588, 775450896, 290393767, 964749709, 179105761, 769713492, 653011588, 114753059, 57318721, 68659613, 135190263, 913265154, 817631016, 871398952, 807934835, 130827051, 284319126, 455041596, 440228254, 882207953, 472199579, 175205383, 431268081, 859384541, 726407004, 492500884, 605654621, 459876512, 844100363, 905487650, 366438357, 506471258, 149287669, 905294375, 411501801, 450225560, 479709458, 620428096, 836275816, 511419759, 259301602, 383322415, 432341202, 215882916, 397770932, 850590997, 650275278, 756556649, 300310761, 764215704, 226846973, 95173446, 283717682, 648173109, 690668578, 917441398, 17575413, 474688732, 298029785, 86320917, 369502826, 542831356, 545743885, 841289350, 783511867, 527327846, 156174296, 486483286, 36026679, 274041628, 968031292, 583424107, 679163547, 141441347, 468092452, 383521958, 610815364, 501810038, 557610884, 57226197, 690978741, 991532447, 464239726, 233696478, 176080371, 872428102, 958904406, 18017326, 592098343, 822259426, 99856976, 755434751, 308345578, 479461278, 511024191, 630953252, 49894651, 811148529, 493733572, 398483170, 753137451, 393301757, 849963772, 52730059, 690140356, 195924384, 187202281, 784754781, 804322231, 754115370, 260067489, 334584715, 553382200, 443450573, 684006918, 425798640, 387581570, 483267611, 171882706, 731989510, 856138920, 587969594, 882782638, 236515097, 966105258, 600478312, 517969724, 414225879, 734737205, 539027569, 822745155, 219128590, 190980985, 198371222, 984987356, 207827629, 20992102, 376984638, 633721511, 693597091, 938791060, 895847790, 395174103, 931616637, 398331033, 965283552, 977406030, 829551037, 4801309, 496969418, 151679923, 697269379, 521883181, 8748408, 662993020, 441545392, 708581851, 49820919, 770905379, 366979386, 613130952, 363933976, 935224248, 80417773, 393026022, 16261872, 749740606, 515159234, 242529245, 233892468, 50482462, 122657218, 448795102, 723477682, 140546591, 947617519, 233651019, 438655273, 276397493, 153636131, 195520379, 940748516, 113038492, 222097702, 382345631, 35037906, 410895532, 473989488, 850830014, 129126315, 707855026, 34619546, 759878935, 820898811, 549323815, 259699173, 812058432, 650250511, 690052964, 701272419, 376111281, 55541672, 741953212, 483413668, 633077554, 972648667, 865182641, 586515671, 936083819, 404205594, 970427750, 620048749, 208439677, 528291855, 314645759, 498195048, 971044479, 377160636, 546143046, 98395227, 542103117, 493094396, 514047993, 428127320, 443932175, 564281082, 674704577, 971169262, 907793536, 399206981, 704775057, 585054038, 484856348, 612956160, 816132067, 819747858, 592919646, 5989927, 687420466, 462707753, 300985703, 806360371, 227898719, 873183093, 434168614, 811563798, 365865146, 318193608, 513842346, 452483811, 368956459, 347347378, 633595364, 6228494, 470759808, 983908225, 125321019, 741814485, 579434226, 208901377, 127253749, 817583353, 878098151, 34823705, 939879626, 137558661, 997758135, 672937874, 350210433, 156713066, 500651344, 89712970, 272598786, 112722209, 682176197, 481002139, 124156775, 954019919, 628654348, 636534296, 657702623, 425090392, 590647014, 865436448, 854422117, 279055881, 896413338, 303678613, 606872378, 575811142, 14097120, 42389412, 27195835, 911809632, 178760679, 388070636, 294349849, 333483026, 467201658, 75452699, 633779876, 477296949, 841093876, 705982463, 951864769, 294045877, 128580108, 968141302, 668126894, 465398028, 481547690, 730140753, 795022015, 9366052, 617001291, 161315906, 761532055, 198073595, 770611033, 761962841, 245670878, 960405086, 34891917, 904729273, 323990374, 390600661, 348930325, 76891711, 742303021, 760813398, 684649067, 980679238, 576483132, 967510002, 672872695, 899094652, 633653806, 808412089, 325357936, 191770420, 30363877, 965473326, 750046900, 957060149, 699928340, 656961759, 206884064, 654446689, 251858829, 54794110, 61748494, 483806899, 86028853, 3654578, 133969311, 433688323, 175647327, 520129763, 43729573, 982455008, 150277621, 183259202, 359204421, 920415229, 422617454, 252714444, 922450343, 633399289, 618142280, 82897951, 216752840, 913327223, 644649938, 104264293, 747394016, 884144496, 942862075, 696323425, 567615652, 397812061, 909616852, 730520162, 142923116, 361162411, 261861688, 56604923, 472035997, 936016743, 916841452, 565385271, 185409964, 396383179, 223487609, 239261136, 369586962, 934072282, 587615126, 329627509, 875212266, 235743164, 611131605, 477271146, 569169619, 231884176, 606129556, 134695630, 41570614, 359774355, 427240724, 722841406, 664995741, 785739428, 97804284, 575353740, 677956140, 984983602, 780542193, 762736347, 590956742, 580031933, 815082539, 370262625, 873156641, 777787875, 345783474, 507090547, 470094980, 203166988, 373961021, 566585441, 168828915, 107495946, 108075973, 816739055, 467994824, 438217653, 524648042, 237699748, 971252258, 629811137, 478352669, 679032509, 160448957, 810778900, 860949063, 41460396, 624452737, 291360350, 538371758, 145314417, 340783257, 639853270, 895596034, 80203845, 408760529, 867609298, 856309936, 765902062, 607247061, 695804953, 154083131, 256682593, 122967500, 34357695, 105710732, 278211725, 511598862, 689716131, 805316414, 526239088, 590120308, 497162397, 849835778, 713939659, 27706041, 305521914, 26854282, 698123545, 794683886, 760497071, 489774239, 53651399, 632998730, 631135611, 184719597, 188733914, 943863901, 358815477, 390081470, 702972398, 659274012, 113317461, 538492171, 284936815, 891754318, 779397322, 857726401, 56830393, 819326574, 355010624, 575754637, 284235991, 319570823, 573079211, 925311383, 355422574, 783090816, 466518536, 449181912, 918722066, 800244365, 339532352, 210364560, 141037114, 529501605, 216631180, 189442294, 419639916, 435002054, 792537938, 212043895, 488532420, 865053162, 906716420, 604137240, 175238897, 884658828, 961582792, 174714252, 432326132, 966571022, 935935429, 33828041, 852041882, 291608219, 774602687, 104072000, 947708990, 828447272, 350100855, 614107629, 905097788, 228043542, 833693784, 353979751, 766338135, 967883999, 78676913, 621883883, 216122238, 555852941, 699967727, 222023318, 776477859, 263606807, 964911173, 796277376, 390322286, 333874821, 418977676, 483662934, 821437853, 695553193, 942989832, 941767318, 641716502, 280054820, 597471705, 931030912, 552152359, 7357720, 637331234, 523159970, 333440956, 982067427, 194573339, 906205346, 513054944, 737467506, 817797046, 446009807, 863240725, 914878502, 723839775, 229084213, 153017569, 210700057, 33715509, 115546036, 25932320, 636721632, 419311347, 860255925, 584555773, 994507746, 885066880, 318734714, 684931715, 372742357, 832045796, 802107415, 268872606, 859744178, 66300388, 555071293, 219119569, 309556522, 657431594, 658631874, 929176600, 970860260, 398012950, 86346441, 262872419, 283925630, 270983892, 449749279, 620220112, 729890999, 291234825, 518709535, 931323992, 106056154, 761945077, 395270459, 445890684, 6871582, 434796824, 81635923, 223940424, 589611770, 60594576, 335554954, 61272695, 148457394, 309559207, 949759811, 213823302, 851297001, 924337403, 365970618, 386436212, 855151715, 706867443, 396884616, 164738468, 539187743, 326010419, 618438310, 175474676, 262603254, 833676476, 696091586, 309683748, 471819350, 104085709, 673510858, 298154793, 545051353, 462245510, 498384487, 175993990, 442883331, 825913798, 281836603, 40901168, 196538300, 14559273, 683253860, 938317469, 369653247, 840213449, 994312428, 295805110, 344010286, 778222995, 747459484, 765163099, 398251475, 2764359, 906231392, 841374732, 902466732, 512331108, 594270891, 317593010, 722477700, 490177837, 226231433, 498975971, 492152800, 122851047, 255127276, 729926868, 311904649, 742362298, 479088109, 889329059, 369651773, 216677683, 852744732, 550654743, 897909975, 50056430, 976578042, 898306519, 732550073, 589531444, 972509850, 326285011, 555771132, 810209296, 447473278, 285792660, 930666322, 782691714, 115388437, 881825021, 923263919, 137217030, 81055805, 552641347, 917408609, 386148707, 929471501, 321607599, 84029617, 161605610, 87752417, 606038575, 611323561, 480685096, 832269135, 723109667, 578628205, 133988708, 263791081, 364300926, 281974026, 268551029, 972204889, 820291250, 583981374, 622444915, 959697889, 12643166, 737857547, 44764333, 378503240, 502986041, 784702412, 285816657, 384231906, 722320791, 411774531, 722353803, 657159196, 117070836, 944546899, 717425608, 549472494, 960518429, 14898641, 679327424, 265638529, 454057009, 371206389, 961197520, 287552688, 392118032, 4883898, 112592411, 24951202, 411349641, 637556859, 425267309, 821515495, 676752805, 236781346, 438328380, 366884663, 983016445, 551260607, 567042811, 816893785, 296720208, 424867086, 394723147, 229494697, 984769025, 998070159, 540644571, 638829724, 294255191, 18284747, 820491441, 491755562, 999311965, 214763565, 242744425, 904251993, 385140749, 865252875, 72533987, 662473874, 486855925, 407888231, 592945573, 506964279, 508655557, 768341643, 263217881, 89322541, 664291514, 823863881, 232781, 403837898, 87532616, 539704332, 12522299, 649362100, 285770831, 673868849, 604201049, 2708235, 262428793, 948930235, 273657867, 956044062, 846999808, 97034182, 937751387, 552877003, 596711476, 638755010, 859942609, 922050100, 659006385, 803239564, 617242043, 815199422, 128967492, 660051357, 95206958, 302447176, 343264510, 998569124, 466324446, 377847954, 450549466, 622984326, 86555242, 364514768, 933257282, 858764124, 857590707, 732799059, 927282076, 399646349, 613301035, 754123974, 944041265, 549973193, 563996227, 917666883, 386812758, 796559134, 552726402, 718809059, 524156786, 106683123, 793305498, 720151957, 837567831, 941307088, 250723791, 396393864, 872007441, 351962262, 614192063, 415866742, 296372192, 969765167, 720177557, 352915219, 796930970, 8617327, 201387534, 379949883, 49609947, 424451997, 722636357, 107089626, 186472168, 734829552, 733214426, 774210902, 681287227, 387052438, 668400535, 261726265, 671690029, 403785700, 207655674, 851554383, 996638653, 313947906, 503714724, 83405367, 923462367, 580977380, 566734190, 136741266, 681715905, 48941474, 800870658, 938066308, 138222969, 241251062, 954209998, 61019611, 512981133, 499797894, 681749780, 648471619, 803133417, 63808241, 185890599, 548518720, 741217472, 811019279, 676097245, 746738089, 589086059, 73827457, 640275009, 842560223, 828700160, 693265947, 214282394, 54418960, 60368956, 423462634, 610142053, 840322604, 80325594, 526742330, 341576748, 567585106, 420677448, 719731488, 976674705, 394791953, 462383265, 356181372, 290662478, 748598942, 943203473, 727084264, 442445364, 336776153, 854944937, 716042639, 671691429, 750535783, 245140257, 791099968, 571246774, 599180406, 530190239, 884033307, 698605572, 933605655, 42335382, 545709297, 939679238, 164532253, 915067051, 761003800, 108113478, 104990914, 931660058, 89576232, 391052029, 210468173, 670646264, 434310475, 952897229, 224806560, 222986884, 849690455, 813906271, 548942464, 112871517, 513753228, 781398003, 321538135, 295100041, 638097686, 425679185, 235065810, 849484443, 484056076, 777231276, 765778463, 367558028, 186173140, 125505844, 272099644, 994815320, 472934083, 990474216, 314525737, 253226850, 822167898, 404356770, 499070865, 92766678, 523281194, 258812723, 609387891, 693966027, 817442119, 798654910, 698552539, 464366030, 397418498, 929421026, 742466873, 985742834, 136860193, 805846709, 697483484, 414296276, 179328687, 530977974, 696798347, 926342244, 987934313, 183872911, 489184921, 388415639, 611537587, 616305461, 316397924, 124811265, 562495894, 279282102, 894616789, 585753144, 972743160, 780888287, 490620340, 722044660, 471435976, 566270748, 824816264, 978547594, 739746547, 960265796, 905813453, 861041090, 290481247, 974647477, 234275258, 406176655, 812357528, 332526181, 403281791, 759584031, 314075622, 570478528, 44832735, 794934941, 322043288, 645724774, 143818744, 756413916, 7776126, 809190208, 77193308, 325356732, 588486959, 279093409, 367798911, 888709348, 852555214, 912086750, 389773058, 13204754, 569841391, 605876888, 569442891, 83631956, 401137297, 938554274, 28334601, 775367805, 905929070, 466535994, 795502922, 828901959, 931363130, 664806379, 447220211, 797271066, 387611948, 392874921, 955637897, 157753454, 749163898, 979944120, 261694802, 951460161, 97249705, 497009367, 56302400, 708048139, 496614643, 59556103, 254047389, 57999747, 711175364, 42392900, 763078862, 355052725, 758759122, 72719546, 659363019, 497376738, 730709015, 391566232, 56332878, 923069625, 514604751, 597876220, 127074870, 185924719, 198561236, 679720441, 752432147, 924025949, 345465373, 934390687, 867746166, 630474530, 434630079, 218440004, 21824737, 599259976, 961363252, 398344214, 199677645, 945019413, 240914342, 489844621, 886995255, 367900278, 103570734, 373362189, 531465061, 133503009, 953586097, 988486603, 179292626, 490612826, 162616071, 737477974, 735604607, 907375240, 852800614, 193311382, 792151422, 526853936, 873605146, 516218244, 520818037, 559624625, 916582103, 384226624, 187463441, 753367726, 901268768, 531496085, 788278005, 851150411, 388488237, 508394591, 79293494, 872148651, 670305597, 946797271, 586541005, 440592801, 708448533, 518538843, 764833273, 804384722, 845084219, 754417683, 568653535, 192866086, 663798935, 59903643, 957806300, 134799742, 405259946, 878098442, 505230758, 361131357, 989607415, 862433566, 616711722, 663278209, 577556286, 697780506, 802391572, 878816387, 907597556, 342680066, 363160773, 570116807, 859887511, 967545467, 748406833, 745951985, 469448976, 461240296, 600424983, 539157184, 189940643, 515984268, 252879045, 273108200, 485211722, 56597135, 566193671, 653470761, 508193430, 164238202, 601339648, 972694408, 156372739, 579221273, 437669543, 66928754, 658099380, 339769261, 61199967, 992420677, 180141981, 579727546, 372625060, 893614826, 978140084, 108754822, 625977969, 120855919, 858583275, 210301372, 75765574, 799981265, 946659739, 312173750, 705014954, 345786761, 455959124, 683848837, 375075746, 522944837, 262678737, 154369069, 1932397, 47629132, 317369897, 891543789, 664682444, 589167109, 435268586, 762869958, 17818710, 411088516, 934001886, 979165516, 282732512, 842246650, 993340850, 765425655, 724804372, 886746082, 751827670, 353071356, 431048081, 389815687, 512764227, 904988474, 61378335, 799552355, 554357712, 503619173, 618324717, 305713871, 969228173, 8971801, 315780447, 593087085, 46082320, 569857061, 448123052, 71240306, 60079330, 958872018, 677413172, 215903261, 550548849, 496138400, 698585358, 316917204, 334406884, 706566408, 461931047, 159940101, 810112699, 770360568, 234304677, 628994578, 84884633, 831492234, 41824528, 344231990, 341716178, 334146947, 968411162, 959042899, 518922281, 43195485, 670575844, 469854356, 502097074, 103116892, 894314474, 900852041, 159816184, 183904483, 996918418, 647873817, 603415973, 651736262, 802134685, 464548165, 668414206, 223263759, 219937482, 74266175, 703690050, 550268367, 675859109, 619558211, 539879687, 331984098, 334896150, 254264418, 954906023, 436369613, 644734969, 7952555, 323748106, 444453808, 489120966, 205504540, 371785160, 962621321, 314572748, 158443756, 551139381, 539092408, 535157151, 453095133, 191986808, 139927512, 415532646, 578269353, 786938330, 133867599, 112291463, 501971306, 112572791, 271482219, 426477566, 334957912, 731604744, 283123620, 624530577, 145754527, 414463439, 835762552, 569253204, 647021417, 899611019, 648139483, 783546271, 722905929, 406870660, 220177151, 257115156, 989677424, 638564669, 794084726, 163248205, 494811602, 485359753, 878178186, 905114050, 237505183, 413421504, 630267926, 308994482, 52808018, 713243187, 886124452, 375251636, 414226073, 40309713, 470177119, 557420156, 58370453, 426761388, 814100151, 217594056, 768130432, 709256511, 936804933, 812388850, 473934854, 694624081, 250368687, 55473314, 320914611, 346005728, 980124676, 196710866, 495497961, 316320903, 222841387, 200414894, 361871595, 570676266, 951820647, 232363225, 646297520, 659833850, 239985993, 302264576, 177292934, 565641901, 275425144, 962329430, 695027910, 91654031, 119851400, 159195441, 161557392, 387833074, 983930143, 718526330, 974397906, 991245105, 464544522, 510965658, 660361392, 690958748, 794563892, 740799425, 484560525, 4975228, 890130447, 850649030, 973278645, 883604377, 943514809, 422394729, 474644286, 188600423, 909994864, 387985365, 836100452, 980216127, 35184911, 89584203, 41284190, 809588584, 392834609, 406053847, 262945161, 368719118, 689543145, 723313341, 594833771, 854113230, 801962759, 924263868, 179516333, 689370038, 619129435, 463288876, 940310939, 850205608, 294426239, 410434640, 255788608, 202280852, 979943287, 413416606, 670548431, 601842811, 297768388, 593535978, 412553773, 387847945, 696058314, 120000101, 160892382, 249870248, 817268310, 352648107, 603015120, 200726343, 757294834, 488465117, 877828288, 193027225, 816160229, 918698090, 877723588, 830661574, 947067086, 487237879, 412602533, 599087470, 586968550, 625614989, 976783116, 27669499, 925968038, 577413827, 628904109, 865419653, 985824032, 417314997, 388736640, 282237953, 181721274, 506660923, 934852039, 394830638, 676881626, 591829351, 316281968, 676580215, 934774637, 837844194, 250307987, 536586006, 319945492, 242190462, 854670927, 389609116, 435859088, 54306686, 182899514, 347404925, 404709504, 601291171, 273157726, 928901958, 380439931, 84392595, 728179056, 147307391, 748173702, 105978490, 824260486, 606222038, 230908235, 507853113, 374022223, 138039267, 379039132, 268494881, 682465295, 118179462, 445033808, 207036343, 945707873, 653283208, 701420, 32979493, 554651617, 723606642, 538038442, 802908060, 534120775, 662254246, 767375862, 459533641, 313612339, 55572160, 368357473, 595196330, 176527275, 526779516, 770398183, 929915984, 359308751, 341583644, 557120741, 539272575, 835866461, 642111893, 95934015, 782705810, 843133868, 931728013, 254937444, 866949171, 590256782, 725184175, 507028199, 914095705, 802593991, 245221950, 844617518, 583681378, 226022250, 297999574, 456146036, 568404957, 754243669, 351863031, 760727938, 140551108, 436342057, 134058670, 22778186, 810164820, 343319659, 71377554, 144972039, 316964560, 338607310, 839478251, 338370840, 611782131, 658871924, 797845843, 296296199, 321092285, 875646346, 510332912, 789545552, 686387788, 833358684, 61401878, 685550006, 499742443, 504455074, 30710842, 65989194, 697636528, 577552338, 351416185, 112366516, 685074539, 526585281, 108019800, 603606439, 398630793, 716404250, 112927684, 787789448, 608187924, 752243255, 860666686, 994180153, 216737475, 166810229, 607926265, 285228604, 356003135, 686409319, 324755593, 638362380, 327146865, 423303343, 839097067, 995275294, 794019411, 715047648, 259778943, 778412581, 532066866, 655613924, 610464553, 200879679, 213449908, 902813096, 657405833, 243672469, 713663871, 646042560, 768234283, 38657351, 881307265, 581846181, 1194837, 724116728, 426260600, 580201212, 579594214, 982488008, 941639829, 530600100, 656407930, 506200392, 507911364, 313639085, 429685755, 99490968, 240441659, 964709950, 186469766, 667489, 849569187, 846920699, 388249274, 219981868, 167083871, 335665084, 799592699, 507230387, 209591964, 447741012, 117728935, 231283373, 250299824, 565693581, 498780095, 926751486, 593973994, 667245156, 125018511, 287500832, 485003355, 519181311, 585439586, 751412067, 583729669, 347020779, 144517951, 541927388, 8976695, 966831212, 610478203, 671208605, 192406388, 52371145, 995764314, 700861945, 265776751, 223697058, 391512192, 940847903, 629210334, 498355621, 116921497, 281825305, 118912899, 71504280, 842293733, 741408152, 963656941, 756614071, 724243497, 583417533, 985223564, 211271657, 700745312, 574406665, 187503581, 155868548, 756413655, 887372007, 215345000, 513372428, 547237403, 193670815, 365162818, 25689577, 963517278, 564696413, 670258591, 825140395, 611919805, 189767611, 226843709, 82106259, 158348193, 284281044, 836891674, 195677744, 81146603, 900031102, 340536360, 825245509, 61875865, 24976904, 525032746, 464538035, 168859021, 5253876, 781683986, 975622472, 476142016, 429003333, 504460684, 636174451, 87732818, 349002446, 921100371, 698482495, 82638598, 256185424, 715666019, 996006851, 75736575, 269192115, 868392192, 742569718, 852200546, 81338158, 318387291, 511322034, 456630312, 930531977, 849413002, 756603499, 837111241, 774741060, 677776139, 112240494, 256370949, 921919692, 476101483, 284462102, 176740877, 481263366, 154261008, 631089872, 22426236, 192013105, 287675435, 958214780, 663778953, 515106458, 502558378, 436831035, 867614321, 912100958, 624183560, 21848125, 564694168, 930036774, 581350659, 495395489, 161621939, 816030100, 48020324, 603822551, 899301731, 597292237, 220944366, 872995943, 555046389, 699855543, 949833631, 510955891, 170328831, 959114800, 244371862, 870046704, 807787720, 293926675, 155557956, 416250671, 939843133, 202631677, 123983523, 268053880, 274964110, 495411284, 418559713, 855373173, 753859992, 741789692, 663827225, 679872007, 154369040, 882183665, 849463056, 482392694, 852752099, 308404077, 758494431, 979191618, 306856633, 440723308, 229918791, 518583705, 402544924, 357665724, 777091753, 93701372, 794782341, 179290858, 450619505, 774441643, 182837969, 583388944, 807270143, 179331156, 164307532, 120385381, 403675468, 188971425, 96686328, 30676204, 600749118, 662245870, 656634224, 200781149, 927859499, 476063090, 140035651, 506460728, 183904040, 889657059, 910883559, 974219083, 828687641, 235264056, 652658202, 812386303, 909375772, 264082892, 67400816, 110103142, 627388424, 9119544, 166512409, 734759070, 304730875, 303609215, 587148515, 644272817, 405507746, 389837295, 538026175, 352934206, 356541679, 66233068, 92984368, 185057855, 41162295, 660723986, 69911455, 959136456, 644817879, 339604125, 915527276, 115260813, 24734560, 678416148, 399550475, 802110870, 861183443, 949690083, 989383391, 726905705, 333691155, 892336500, 134987850, 140049604, 108818016, 959038740, 502124659, 972194563, 979040303, 146371198, 610978133, 953640991, 48689143, 489584557, 178298253, 14151795, 778646568, 204051352, 709419780, 976818193, 344671654, 676066647, 787799296, 975941793, 28226348, 72144130, 395027402, 393872797, 574698018, 575864379, 538024997, 220031105, 244014619, 832700112, 493643062, 250912016, 483372239, 893517567, 360806162, 676042004, 432381047, 712324969, 568122308, 810001484, 820306000, 550686506, 758846219, 487209294, 147190730, 632518840, 481636198, 154528739, 156628209, 440935704, 632325171, 490032030, 460447179, 30559327, 699272373, 424458230, 63040552, 233681173, 632838827, 967073057, 505265606, 677765657, 429033922, 679469304, 468405202, 574402831, 419150830, 460999301, 629986801, 856991174, 486829970, 141736206, 827158052, 290077018, 289752770, 533428486, 264474724, 809489780, 518223420, 846693426, 284635790, 171434074, 733665808, 542331970, 850343871, 478553060, 791655681, 835912982, 508612241, 185510916, 641385212, 366933385, 103815404, 416972346, 721604448, 910636835, 46616831, 64536639, 953789269, 424400047, 722422212, 916189094, 428558205, 38860125, 957705234, 708037860, 491511604, 761045167, 109979314, 670307346, 454989889, 171650330, 564692364, 280306803, 418709819, 137875667, 342030048, 229367152, 149120049, 501718429, 33831039, 506580859, 952853273, 929724643, 145058205, 934461306, 22423321, 249488177, 870968334, 688902745, 612277208, 396146631, 470195023, 770832369, 212653200, 74176796, 368273873, 161898549, 690475854, 839855339, 498084105, 621405520, 217360716, 372215960, 919851856, 63174563, 662487135, 367268789, 50129130, 387037923, 480977403, 260227256, 731179737, 804578246, 972236660, 17783449, 879809581, 713907094, 104747130, 841525181, 224986061, 810501101, 948385464, 901738545, 672641988, 565067218, 810612010, 711500682, 186640645, 511933045, 408335877, 695811672, 280711254, 691415576, 938378229, 634843296, 886312030, 436029567, 610139166, 506987121, 258795039, 211454350, 514500975, 906376134, 267253159, 813354546, 886754846, 595669412, 382945381, 418941655, 833568736, 573119539, 238761165, 700009996, 984594784, 18845703, 34561892, 534356968, 158502379, 88702501, 572499964, 181267077, 94709473, 133139866, 923193180, 712314096, 254120230, 245058981, 133342451, 861453434, 603754123, 318528569, 503504253, 523209062, 345972302, 558142250, 450337033, 84089248, 356417917, 82994929, 399397684, 300945663, 691227340, 113423128, 264733736, 887143386, 132275156, 900852156, 345172505, 785737662, 329442469, 905218181, 591326656, 903103463, 328396309, 242327075, 931769756, 640253689, 373480107, 139412350, 926531359, 265492926, 833627124, 272831272, 853389730, 513445221, 1083346, 42816399, 32880107, 450530462, 383586345, 664051344, 25821752, 400354820, 663027080, 339372648, 740168775, 425312513, 655191119, 682605126, 389436614, 952854995, 769091326, 710729549, 369037303, 38695168, 150473237, 274250503, 500285072, 350558561, 393953017, 402075170, 789300753, 514993484, 345301010, 953143676, 389133399, 107789759, 881596862, 112238186, 181343293, 924831285, 49281199, 632592620, 158095034, 893863227, 839310784, 362464046, 655773048, 50079996, 175112238, 442878970, 125160968, 156850834, 344979195, 480777122, 708832936, 433513978, 775297917, 222736147, 853224447, 103387810, 985213480, 691082501, 241330695, 817424227, 662649345, 679517422, 555067904, 148359905, 719997440, 848400644, 976553663, 444451710, 447409797, 672319064, 770882174, 906486338, 307044604, 594830345, 227346800, 92137219, 676048349, 66369241, 852351550, 799987348, 86167374, 611772364, 926842479, 17141979, 51444996, 151385823, 715360328, 568934839, 92890082, 165849915, 866435016, 448231458, 791707869, 157879270, 687208620, 317622211, 586096249, 595863012, 838681272, 146773905, 412052187, 134776613, 518239280, 55723686, 206532512, 801428806, 368436552, 998121702, 791740334, 103467128, 24521703, 563028423, 931245924, 618541461, 241515132, 433440179, 325705698, 594512658, 687343628, 261523587, 554090248, 179731704, 249136034, 639881113, 427969142, 828488849, 251262875, 990829092, 512759032, 177221410, 485324910, 247674333, 789414142, 697572706, 547477822, 420690378, 224665220, 510905314, 776830129, 942087061, 22293421, 687092476, 647412509, 475201343, 794474071, 631368484, 532702089, 623877233, 23320229, 463491761, 997355758, 315270126, 561938481, 473827980, 676202987, 682999697, 643667190, 928667813, 413308059, 109129679, 240399566, 303786633, 21242048, 701653363, 628255087, 589380695, 970619062, 567622777, 498929707, 391786289, 120872345, 953825468, 178697409, 180706907, 103108761, 914847987, 891776452, 764962593, 290207687, 973578085, 397995109, 310447090, 149935340, 533652285, 545861260, 472324674, 792481982, 782720842, 943216484, 871199018, 367121275, 498206727, 133375414, 921176830, 169657730, 204047610, 895788829, 25245392, 196507033, 402978710, 532307792, 246581599, 619639777, 977683775, 351965387, 944747563, 892768094, 332182077, 305097613, 764922091, 699626423, 883694056, 114218404, 499347017, 48343851, 454321315, 938317708, 874743528, 414202812, 432531817, 996502035, 111894910, 621011237, 821140869, 246896833, 361704938, 927646394, 384823902, 80615493, 585160186, 778004616, 770121707, 515651099, 218054173, 67604229, 168657039, 388051413, 791606017, 716016852, 255284347, 951556050, 424024570, 536446051, 485337530, 619147274, 232383920, 451656243, 327224282, 658300683, 134923492, 118503889, 88709321, 576312939, 362720008, 154979174, 866195828, 44557524, 343772391, 467427385, 463157453, 567221328, 50259238, 256626825, 908461889, 856014399, 888671571, 986100554, 792517767, 705561226, 658919579, 11648289, 105838993, 179388303, 377957652, 92716195, 891556069, 175153150, 322508867, 471772642, 297442455, 186432210, 977148835, 802934790, 193686272, 367206893, 693522728, 755277403, 506990944, 990043328, 262348022, 848238682, 426331918, 221016101, 763521620, 792326270, 729030620, 463621173, 625429167, 502373169, 361042224, 361303993, 85556684, 354677242, 698050116, 987066419, 300436851, 500058453, 118118312, 534854497, 396539753, 86469022, 413496464, 570461401, 828540998, 713945669, 539291484, 517820579, 509272202, 544622201, 928524402, 269694940, 932484981, 566257689, 173210067, 955787170, 67157565, 581031594, 811900638, 586839078, 339468890, 515099470, 242485208, 824353508, 986183975, 255872684, 742036283, 546249310, 939530200, 946415828, 465252525, 227516877, 348781836, 638320049, 869840678, 392281551, 727547485, 726520252, 925065447, 391896874, 945067143, 626528808, 463391501, 39956033, 399416140, 792047759, 189183408, 223108090, 577419666, 188886490, 409314372, 344739709, 91842682, 802660577, 775385922, 585907193, 173670578, 442785603, 339943873, 725004801, 745078031, 485678433, 337698141, 147044095, 616979992, 872825833, 412038078, 785708293, 369183324, 724710034, 47783561, 672767096, 543267225, 923524173, 765964990, 382464210, 264061885, 540875496, 434451230, 30586776, 756418148, 80043325, 449063426, 709401689, 444575640, 247407390, 28980203, 771115960, 30107921, 772252249, 846775980, 819004021, 676221381, 478470256, 703337569, 209156355, 541695803, 269639210, 505451560, 555395133, 635800952, 235995615, 790852180, 87324308, 382998712, 594511060, 891707440, 190396687, 176596908, 43156633, 941954410, 648400988, 922583347, 114767362, 945546002, 314813137, 13005418, 478495844, 422601859, 837013936, 482365461, 977488859, 823289449, 198806996, 882632843, 452464798, 178242855, 277193015, 287740621, 219725053, 480087204, 852465188, 836342315, 858049576, 931068591, 242628187, 804452383, 379457474, 415349151, 34134877, 75525069, 883484808, 770930294, 103699448, 225148477, 860126035, 530205962, 896105485, 893585601, 149446642, 579246069, 657233871, 659241552, 314344696, 353997273, 266178639, 33890620, 622815764, 192872543, 176848281, 825968276, 656335882, 260275325, 196563879, 79708479, 698323720, 230781939, 568052089, 875190194, 839714946, 8271146, 497432465, 133297543, 248922555, 400973094, 474882865, 324042463, 714439939, 804994151, 76220808, 37259698, 733059336, 520533796, 437097754, 795386139, 922586058, 239423412, 542722559, 524284603, 448889212, 963669499, 693547942, 618989640, 300376980, 471944681, 872437016, 607328568, 689862877, 124588470, 510073941, 679932744, 871989319, 720087774, 456013189, 158761481, 107755167, 777484687, 952528269, 484906621, 73029698, 825833843, 893572445, 716610155, 685080223, 819207557, 55487669, 371022081, 957075576, 206901571, 128995626, 473408054, 170213467, 41859960, 153983680, 410983926, 282980694, 929205508, 755523825, 280602845, 462896114, 690331456, 61544344, 873908359, 567498314, 727506942, 877234580, 803580141, 366006584, 440399415, 811255390, 419562144, 685640372, 753520228, 739046441, 863913911, 522318220, 383725776, 922705083, 135128764, 123307110, 95678323, 671206121, 480326273, 817961646, 352946656, 683373929, 613342425, 982493079, 208124636, 357262010, 39908237, 704626811, 472249052, 58786907, 444260276, 841677020, 40282331, 111642996, 497822646, 891845811, 77155903, 174839970, 285907120, 867652085, 977183814, 50166451, 537129325, 360557594, 30589204, 191517878, 728178150, 45774327, 358398763, 217651242, 279650020, 960242923, 564023353, 604478452, 264898023, 701263051, 482765319, 517073597, 312169125, 980681078, 946245793, 460498969, 541007327, 763764596, 369828957, 111146985, 675455423, 428592252, 576619190, 773311791, 206889353, 1858521, 629550396, 576164047, 994284256, 877643220, 116186676, 550340145, 632651028, 962709771, 324695728, 184419501, 65132283, 399391901, 886632022, 489068778, 907708960, 857079288, 509314508, 767693237, 962143335, 513923425, 172341046, 431372955, 176499864, 616384639, 643731481, 659508590, 278830990, 177290528, 598169567, 474576583, 774740257, 43461888, 215929927, 27839118, 737403200, 549313680, 401571084, 802731273, 52439810, 639416391, 247800509, 586960320, 145335884, 553050034, 504033443, 789279436, 207527954, 972812852, 398447149, 470087868, 910477183, 706075787, 845297024, 604393848, 511675477, 153243637, 172964335, 836686006, 766775813, 17969507, 624329194, 28640917, 795472736, 345797014, 536946009, 437203843, 542990698, 235123816, 219389445, 946191066, 530003724, 825049178, 883782320, 233139128, 747664920, 159131373, 218058481, 501498126, 480628427, 377744906, 360017490, 4599842, 763699440, 612199955, 507017155, 580517880, 195041880, 581655641, 417569233, 691342521, 795537087, 817436904, 83464536, 402207893, 48526753, 641626766, 783378967, 486666582, 573904754, 837811313, 426843753, 685948879, 849589385, 100734396, 701788250, 316236400, 624157031, 595728406, 182603686, 739976280, 52013139, 180497979, 235256275, 83968124, 780257230, 755889544, 580154480, 896340973, 505643332, 220421801, 970195177, 821188353, 925809722, 603121721, 775563878, 408645271, 637195277, 531996986, 131951884, 188234394, 543644842, 323841614, 4669286, 458891516, 785549304, 860488210, 529090837, 61591599, 978989798, 64128009, 580438561, 434617, 549941087, 500739301, 546865034, 564938155, 655329200, 306673431, 551802106, 183974247, 402611875, 454079597, 683836713, 173660424, 208096617, 670700095, 301105128, 428209056, 23269986, 820836390, 306464030, 700065088, 529546486, 511913502, 86039739, 874202823, 232839817, 686925845, 536565574, 913600253, 655562178, 376795612, 430887132, 344960895, 802060467, 281552131, 14313634, 246889436, 397326514, 955315695, 162569141, 866212734, 931225625, 197910259, 281821694, 858390270, 301558087, 343900381, 193763921, 946111126, 855696787, 204837982, 51001967, 778910105, 336079431, 936027010, 221487219, 146753504, 855018575, 986713871, 66349425, 388969986, 970208674, 922633362, 105860839, 143579857, 697883007, 355998729, 510902691, 456029307, 876306243, 881596365, 255546830, 200794913, 323774204, 559186197, 416069278, 373366073, 649062686, 901925058, 153214038, 814408936, 445243575, 703250814, 530599227, 558714306, 755998654, 314751303, 637241561, 801447096, 982434867, 748246341, 839395071, 468253021, 634066618, 161423699, 929407304, 697948052, 500992041, 45169671, 437363728, 819436689, 945945975, 429148767, 428484734, 640016665, 416293388, 696276974, 314857212, 787099318, 589672242, 106034264, 552624940, 193843183, 114926839, 496784110, 779304648, 789153836, 859877683, 117857303, 233653577, 197372845, 909562627, 575477611, 222448729, 274867843, 987782811, 674874032, 506115429, 91898881, 67831303, 192874664, 485177365, 259553545, 723227732, 542122434, 240440942, 589555874, 262053801, 735930088, 819992317, 940343737, 354344814, 153123596, 113653838, 91614143, 930692310, 435690203, 792963494, 970668837, 191883722, 521507088, 99881613, 844117840, 79698466, 387659479, 667089400, 719691651, 51222470, 271198767, 116578498, 490465099, 363115593, 224175914, 438633568, 338611434, 562460801, 919482815, 857770504, 137409336, 766973915, 540897678, 326373823, 669830074, 238095916, 290531937, 174656734, 865750678, 570481728, 893364613, 445144264, 146259860, 205133219, 393446158, 440055069, 911151685, 519676163, 391113001, 895631812, 836078273, 469047516, 860907448, 283246223, 990592237, 81041995, 410726404, 472554693, 538586876, 397895190, 214423856, 46014977, 166935877, 748505723, 673814494, 773209835, 455686601, 285392771, 871220947, 532647412, 210388814, 535507879, 425893357, 936249270, 511428404, 733504190, 488978310, 68310736, 313234724, 464010732, 91355636, 460023193, 877935795, 229955517, 4880217, 910817706, 7918478, 133426021, 551872990, 302050897, 160668425, 154655165, 778955078, 670307870, 369170730, 899692172, 117936743, 827644163, 235492811, 6975128, 166426112, 457620664, 550426157, 300288703, 158036572, 801926692, 356965713, 32980788, 770636361, 951955391, 902222840, 295510504, 650132753, 352675966, 591183248, 57689310, 542385088, 858456354, 545610857, 887721536, 992677326, 313633132, 510513056, 422188751, 979677131, 309665170, 604417226, 427338505, 756356927, 545660883, 928509258, 254002522, 511583052, 638391146, 602313980, 641102283, 498313092, 906614485, 431912746, 632236205, 110906326, 11434797, 770174732, 639451530, 748835801, 263263255, 929415803, 637860715, 683859254, 933935983, 452168911, 217815193, 552344341, 829976894, 924114238, 450621199, 835431675, 227905664, 700985106, 158281954, 430008815, 210011347, 675606623, 803428910, 808448783, 405665992, 396869453, 220282403, 550911802, 694503555, 6020860, 63202391, 873673379, 502707829, 388681233, 593020488, 700138282, 232579659, 910337697, 450908024, 161312554, 376576220, 731591286, 524601264, 187132358, 810250886, 143281726, 770405281, 414267488, 417902791, 460311684, 644455231, 182425244, 165918109, 375315508, 91245628, 467386188, 367132303, 101557410, 129661789, 741265207, 983971385, 299963259, 176615294, 990841721, 297755749, 752158305, 714691560, 600801383, 596310924, 961973781, 522784858, 952973395, 620308790, 540907136, 199891293, 371936865, 757222258, 662893399, 906248154, 261689317, 578889047, 434330099, 961677920, 359898020, 827783042, 315835458, 728740340, 697650896, 692884790, 32091554, 4895993, 391389244, 396767415, 822752752, 683131990, 450183243, 880996415, 356978343, 553707856, 676313995, 640846151, 387458261, 75470749, 316211098, 678780813, 233158909, 68842945, 270435605, 716140720, 810531682, 474602774, 546628457, 60063610, 401672175, 763318775, 951906710, 264292163, 610880530, 630917876, 533273300, 493510665, 113959938, 616910386, 625413362, 717130036, 617493458, 814475753, 874754357, 662415142, 43756929, 153351095, 421934175, 421217369, 673899712, 150339664, 75690215, 971819766, 638966464, 908935710, 24347656, 38878655, 396641918, 939612598, 129638095, 202324437, 745068693, 755760581, 598958022, 951518347, 402327480, 259819519, 963936492, 709554503, 360132883, 111161579, 369191749, 180571619, 984748125, 681495005, 649568324, 520675781, 84825880, 320491579, 226565505, 348015602, 491494349, 884006807, 219334300, 680838709, 494474319, 336292223, 181889074, 314153474, 262457449, 340795658, 350212683, 567498181, 547923925, 346988838, 558843786, 302003702, 890502445, 572606073, 26234391, 910200592, 199689834, 386731372, 347602207, 835600446, 568971933, 248909861, 688971337, 175547514, 444407653, 968093800, 313899831, 464465091, 464797103, 944109860, 223661678, 636611165, 372938032, 332683147, 410115821, 889934310, 748319446, 70611199, 515244521, 95536253, 957923924, 627772664, 157261551, 273545487, 961420637, 352405528, 82599182, 267969423, 317468430, 977029261, 529677032, 194700360, 220370751, 389120743, 616313227, 20052784, 891551388, 117572729, 989454960, 111832743, 809522295, 850160525, 500588312, 85356595, 567143664, 375058752, 37715614, 797544957, 729121731, 728053634, 735241176, 587469906, 682977679, 738490039, 649233463, 566356354, 216942959, 625962443, 162005011, 958450, 844412329, 7766177, 519688816, 137483937, 232547599, 876870507, 319878491, 297843482, 661582061, 796516549, 124215089, 694296659, 243650922, 652422666, 515643363, 994660867, 830707321, 487121289, 494426613, 177591038, 243255062, 994574944, 227321500, 60973858, 353156192, 389696161, 763251468, 833865564, 353553218, 636625812, 240802029, 179872000, 83990205, 718153908, 467571371, 678034169, 369749190, 961580824, 30948862, 822460898, 423094653, 712535888, 635499538, 465381164, 731032655, 97788148, 146975682, 223260408, 974184348, 43535914, 444837567, 84992460, 754115521, 172649296, 170809303, 369128350, 596412290, 896418960, 409953170, 956438401, 800506382, 267181255, 187537565, 248894095, 249002195, 516699693, 158674657, 222528881, 634818839, 19637748, 289385958, 344077786, 125244249, 880015720, 742919271, 747284343, 455690045, 734401708, 288094953, 927656907, 976677473, 757275672, 642092852, 335719371, 543650979, 66417331, 729611199, 139193587, 414895728, 715848195, 178265431, 411108817, 326922939, 830495338, 787321721, 529073008, 954102462, 921550345, 355657777, 321197797, 258516482, 212422097, 367416405, 533912345, 51283149, 828128931, 202245659, 528092845, 64916053, 947738828, 920451580, 133284386, 593351445, 938289451, 351466166, 438649250, 943205113, 392228215, 67913884, 936320498, 36156904, 526656089, 859016191, 854798693, 138243035, 155956801, 203548298, 184216462, 232830157, 178896234, 853531059, 121647360, 28360431, 663938059, 550318240, 139681926, 411098125, 809191494, 9869704, 316645398, 646671232, 406191046, 527835964, 414880370, 558339213, 206039048, 899490719, 64769839, 711487135, 728239108, 379292826, 914962017, 512600176, 202633540, 809469112, 659106644, 211000738, 963038874, 64920713, 97402853, 461984447, 686703313, 456626397, 727526908, 748690819, 110907065, 127445893, 590242054, 208626363, 777425254, 895597025, 697214477, 251187911, 390629465, 644636480, 39842796, 589137810, 577664549, 773080973, 321220689, 741958674, 298005059, 999136415, 344885183, 136548444, 218724621, 84022976, 539461690, 206465010, 372999564, 389631359, 640898717, 857967784, 658009036, 903031300, 756402289, 222776247, 716333167, 501941090, 200896482, 333568171, 869592913, 945860733, 455155212, 968466874, 784233281, 596275233, 853837635, 157021605, 268069090, 813677724, 735692968, 244229826, 374818623, 557529313, 973151867, 711863827, 830455263, 387150270, 483532982, 605946778, 925657330, 751215508, 794475860, 526018907, 165891067, 982908503, 909797118, 914838851, 194578196, 393280347, 275662416, 747588175, 802598465, 377570191, 408214024, 985120430, 813173515, 883918032, 285125264, 721882894, 922552000, 102030883, 701827069, 273382032, 977921054, 193101501, 636104234, 939552731, 645777883, 619660433, 543562896, 862077727, 721790508, 150575405, 891728093, 386926372, 81577195, 702500911, 917784518, 957600157, 20957299, 694769074, 774982625, 384890556, 166274549, 541543466, 147057234, 25024953, 454734480, 399917628, 842904145, 368216882, 172423551, 669010744, 472163724, 339850830, 195999118, 935292849, 715500090, 241546277, 601922235, 456891985, 921354614, 146448220, 742573627, 404660493, 23039859, 81872365, 665465177, 221172138, 162690282, 78027931, 524363102, 669433204, 814169175, 432162376, 835079496, 525507782, 72516948, 823455172, 666632452, 785572315, 719371514, 716705307, 586864749, 995374836, 595255660, 945724333, 728896130, 584708278, 30899272, 187364606, 173728282, 230426893, 858377795, 434979081, 715056472, 252829192, 245004820, 58188436, 639823531, 588800093, 941432722, 746174694, 526006380, 1958, 479744852, 462502264, 429330463, 542470693, 331263214, 645031246, 379379156, 127240803, 190677416, 239776697, 52718927, 693267871, 541512151, 104136877, 392589197, 957209983, 378560468, 152748934, 569874279, 925819158, 234075257, 164319788, 301650204, 681849036, 420700939, 554849216, 106421995, 15097217, 150379017, 784270808, 82690133, 24097920, 106064211, 772894514, 268484678, 670016575, 772389510, 80610121, 593121281, 197895986, 942909121, 355358747, 25367399, 544405038, 381942609, 856925130, 266100680, 507466104, 960199942, 359338121, 277476733, 708569503, 150730259, 952313618, 278628267, 385913012, 970415092, 285407119, 510654327, 819208144, 130041473, 494160996, 940220770, 536235432, 842677544, 344039374, 23582132, 928827788, 316852531, 495311962, 872484948, 577812301, 403953051, 227778988, 911600304, 443115943, 946403669, 841601401, 483800017, 535280198, 684169826, 333391457, 882830418, 711312944, 701154573, 298263834, 200428464, 570942451, 973946290, 517264814, 521144879, 887668960, 451403939, 724890825, 446869309, 350761348, 36650082, 746110305, 831541912, 964244859, 141989707, 452601252, 518363412, 733120851, 229486164, 719947905, 205984342, 433490592, 161707260, 27376149, 739660220, 889716281, 217131743, 689686484, 421731112, 412285883, 158363325, 940881309, 37149388, 55818439, 861867604, 467528040, 833613457, 611268775, 910798823, 431282016, 431605101, 833191802, 653997821, 45339660, 453409106, 161691509, 991387701, 550569599, 860637959, 423526771, 632106124, 837520462, 803457184, 470371210, 708520807, 105942629, 475376416, 568000214, 386716756, 727941887, 998159332, 855557059, 471228581, 676893914, 135915545, 829559600, 54940739, 628527045, 41962397, 83730689, 392283535, 116906011, 37819840, 319587596, 448050875, 357182550, 311585833, 590194695, 567322957, 744956905, 476709531, 364836315, 686983024, 106663910, 384479621, 552374696, 777973016, 982743825, 463917137, 776296335, 65193492, 216328234, 600247580, 430276259, 499503531, 598437562, 53159799, 267302943, 157719371, 475084574, 669420330, 202597296, 964557115, 658635188, 922114932, 180385258, 971144122, 93607581, 73873084, 245990404, 804407980, 512944784, 947492282, 40664386, 438194674, 975648859, 607774415, 373808096, 802849308, 997000119, 482181269, 27357450, 339098524, 922135997, 133240092, 75859775, 557966796, 739511044, 632754624, 310138246, 258263012, 382956774, 618444027, 12096907, 158280345, 634837113, 590669773, 644208890, 36622098, 822674695, 502128290, 595551847, 641502665, 943265166, 200670750, 857052272, 700198883, 781722652, 611799401, 268262581, 790239433, 77628568, 222040384, 791417745, 672849684, 519807835, 984156859, 820493560, 389728834, 570370117, 563333242, 813944190, 840318060, 818394233, 728203735, 667074542, 68443062, 571876346, 865863664, 515424298, 70284705, 89225825, 796024953, 211299516, 638986858, 19206486, 245064993, 459232596, 762755868, 925548269, 176264672, 428904928, 514998171, 914337318, 597234558, 811121118, 646161365, 33444346, 46993444, 657321838, 876369593, 704093583, 793943104, 861449567, 995385523, 477644299, 466329479, 127909550, 746389073, 835823272, 967604279, 66865028, 213239399, 702493183, 144961253, 965624821, 266271161, 495190302, 594015762, 436799730, 631071172, 29221119, 22948761, 648402220, 183770157, 853359994, 767614022, 37618073, 642171407, 362110653, 391872580, 244809005, 433759967, 69277507, 254473129, 796192773, 67913432, 511390264, 328152966, 830916949, 328002463, 171380057, 539340368, 246885562, 118475182, 175531845, 431019291, 668346118, 917342657, 876785734, 776825460, 747791085, 535394670, 376224528, 980277137, 275066526, 107106766, 363445511, 433246373, 376548375, 424628738, 675780691, 380817906, 43653205, 397271550, 818212546, 698528160, 392084342, 863092423, 919532478, 849157910, 380086335, 722440649, 486391551, 788286127, 30415521, 670555908, 555012147, 60973911, 418278927, 464952233, 382509398, 100017474, 983009253, 581207262, 165311622, 615392887, 831027031, 979263881, 417913442, 775516469, 513631643, 806177370, 62819836, 510271010, 13505684, 296538808, 147599904, 378628670, 93871363, 463906755, 75635412, 769041273, 723131327, 936878565, 484948047, 47728735, 477733590, 223654107, 694300695, 34095272, 20527544, 419045776, 481902851, 868692715, 783673456, 283535204, 56434250, 393668933, 312441180, 365390394, 736278267, 182537019, 429676919, 549152525, 998058890, 724570387, 174004904, 631224329, 458793397, 621178479, 769478069, 979797085, 244695033, 873886272, 884669902, 584790574, 670248620, 180600872, 410133841, 432993964, 423345414, 744222719, 104354657, 494579510, 829917913, 551807122, 929864822, 595267116, 480936141, 283223566, 389063548, 877009072, 79722379, 47227362, 800064967, 283946672, 170664274, 710654503, 548729310, 403713930, 429939433, 428211802, 791359895, 70106574, 719984296, 982584364, 485344188, 708739680, 684145348, 447940746, 733132311, 53651676, 365595475, 237000270, 379144276, 398249496, 110549441, 709642956, 880614504, 114611470, 450558842, 167818502, 522418406, 957289737, 319232254, 261438802, 714759520, 248420252, 705170553, 548203726, 866752171, 929080744, 955528359, 416815139, 924498222, 174611323, 20768661, 83848121, 958755281, 821183011, 612301920, 632863849, 230806172, 771846666, 934013582, 862125288, 292956065, 661678154, 716501101, 532087038, 814171628, 916686117, 131617618, 280995974, 571531431, 516144896, 952847541, 274237677, 355069352, 961976964, 99537590, 514918914, 83101038, 437304430, 760155502, 269686436, 268164490, 569876070, 344893, 131604046, 898759912, 943570576, 238006123, 884319254, 282315028, 974520135, 372057733, 25671586, 490760034, 681611186, 909405517, 635099769, 404502661, 719532465, 591547886, 316192465, 616258829, 274942579, 671331590, 333771723, 261635649, 146167920, 547854058, 427365141, 891018211, 71213464, 208671706, 492615399, 740412641, 722793765, 875607931, 71600452, 648772497, 48820374, 912188134, 896185613, 770545785, 576993909, 116284926, 80213553, 445171747, 118177936, 73179701, 670173081, 350493744, 422607862, 420988921, 261843199, 148856786, 629814130, 605116683, 705958541, 615801998, 240606235, 830530355, 664221750, 630545768, 145051380, 636018365, 27058603, 694644091, 940911461, 67706917, 33346146, 15340200, 335230335, 694971091, 214386961, 353281746, 228345711, 700480486, 443781397, 477432894, 225377796, 926461958, 945636381, 507930292, 672403721, 887619114, 921770428, 572657525, 964029437, 390070113, 638716065, 646479814, 890288101, 771582782, 871146570, 41151076, 966928134, 92865487, 539898182, 21076988, 57537011, 991346991, 228957946, 464600575, 382525153, 300641998, 832664474, 824359508, 137134524, 680028965, 614581756, 689634529, 328166671, 982052474, 449672674, 723325838, 342096595, 78348297, 113489583, 908282164, 727036755, 395918906, 130017047, 684926379, 76871560, 708751226, 673646537, 542158035, 497794195, 751050710, 579484380, 516396499, 349684726, 471728143, 694775557, 342003732, 379819112, 776775123, 764639508, 145249619, 632054073, 554432423, 373163070, 500874082, 645203606, 521493659, 75520575, 398238042, 729563595, 572809314, 894871430, 492183280, 825986750, 444274904, 475642189, 909726612, 562234435, 491467592, 999398990, 540760673, 717289750, 378137303, 598798820, 172747652, 737577853, 410832015, 228850555, 245446282, 906758776, 367540169, 48428128, 570277426, 194224495, 345456259, 150513113, 517196863, 578141764, 519055590, 234861056, 534953977, 786758554, 947600810, 910483202, 257276548, 56008296, 155665743, 775652795, 419738443, 112580916, 177434521, 713144450, 317885711, 130107322, 651853735, 293492120, 413691750, 461504436, 910658565, 335072923, 423367279, 879185886, 734825706, 425220340, 97072690, 576990488, 677782717, 48451478, 557805596, 593821291, 804262439, 950695923, 784568353, 630880490, 526397929, 856056900, 913272195, 458060316, 774639946, 721445809, 637712864, 304725532, 818228795, 295306783, 184546077, 141734298, 347906254, 49774416, 404260940, 616087943, 58205351, 851299527, 514815267, 846868849, 250008246, 671909215, 874932052, 105658829, 596133242, 615781967, 601034059, 200800576, 472609936, 618548730, 922440066, 811764485, 711032875, 119874175, 280312923, 31459506, 9328223, 888128280, 948210273, 884711945, 331245572, 783388565, 394468564, 922306515, 448639455, 424031696, 144673781, 888725445, 773412260, 55980651, 749457542, 949476026, 887283899, 635915248, 954298766, 126817445, 119282390, 296748366, 343411938, 517092783, 561087250, 81894328, 885376708, 952294369, 385046332, 505282341, 240520897, 739154540, 586332761, 964068643, 773779750, 837504911, 467004867, 277879514, 547544565, 706654946, 299607742, 364969530, 381748974, 973352579, 972417896, 901835154, 434983800, 725812239, 491361808, 476469188, 996748598, 485612692, 194615889, 110881479, 317577000, 88733356, 602652087, 997248819, 283276911, 236710787, 512684294, 899174116, 763326719, 100366286, 594004121, 129853275, 659454778, 713288482, 163448601, 822658367, 818571197, 217880612, 744578961, 763877722, 128244015, 269348839, 955580501, 323173465, 520327744, 769538827, 583069894, 822591628, 884415917, 960497857, 175971242, 83679696, 721747313, 345824965, 514058454, 451760551, 685422560, 399517771, 189497699, 591031879, 38722151, 538283024, 384127219, 624120671, 416021080, 936977166, 690347391, 214097696, 155012691, 525905417, 662701552, 676657682, 721417575, 160607534, 459144413, 691902812, 168673408, 392841164, 891729707, 716616226, 120032522, 852704988, 443518315, 848085029, 690072265, 137858086, 588933600, 70274567, 201276973, 8227829, 172480978, 218313439, 977158825, 970629418, 736127962, 40574060, 970839634, 392973445, 579743524, 51024189, 518070205, 487905691, 548703481, 713898972, 152238557, 621488599, 392088466, 396299744, 442898194, 611137602, 556270919, 307914059, 446282217, 597901705, 122121477, 613159157, 810369457, 572334902, 153845079, 302325750, 176149717, 594991824, 937830030, 448500360, 779333101, 871936371, 242325635, 981431182, 107514097, 353815769, 421272989, 375617414, 879761144, 229730160, 338797494, 723923767, 685019054, 275922886, 972879223, 201638664, 482877178, 361160724, 966947203, 915675323, 728861657, 172117816, 436106606, 478536049, 944028874, 965517561, 951110269, 512502652, 805433621, 460296730, 713636389, 270316450, 564268748, 995015860, 274474456, 405239036, 259956535, 901624971, 543809857, 226588531, 411121587, 975934121, 862478931, 472943243, 780627626, 968013732, 389496674, 722615386, 222109894, 751411932, 868093594, 518040041, 944125701, 718279046, 255600702, 898133028, 927428912, 556640216, 838238074, 13995751, 343443251, 361576984, 425468183, 106220729, 734991052, 124294278, 829387760, 6736488, 138856701, 726659744, 329581173, 886553308, 123694507, 519932012, 814568176, 499495310, 185253810, 748930601, 167638809, 814832327, 348542050, 341382591, 597484306, 77686481, 882004056, 167963533, 194520587, 354019464, 696454755, 331910011, 545476836, 171161904, 681893847, 475070948, 500870727, 960905888, 989037829, 643528959, 11412721, 266157382, 769242692, 819613727, 959858575, 355004319, 350579535, 461214221, 199006927, 545363272, 528884010, 867854176, 639117112, 739805362, 303773281, 760180308, 562865710, 259821382, 411419702, 969259030, 702574339, 242702561, 171224733, 134168394, 416376064, 438964874, 952158997, 433642414, 667329746, 921801799, 950053359, 960742877, 342460801, 728353746, 877996260, 709392336, 100316307, 772495649, 948596130, 818734629, 132773911, 914623182, 700261400, 600464596, 947673081, 288626711, 622915801, 108004534, 39559279, 891927177, 616417063, 833276595, 583795698, 17784128, 642922285, 231440286, 384990378, 934631639, 772428670, 275317067, 453359734, 125394974, 647628493, 982930061, 410635836, 124569477, 963408839, 513244618, 516705100, 257982258, 278738716, 276217595, 374024569, 945197424, 311082578, 91401546, 424908563, 29787843, 687447094, 947321993, 35887176, 897415583, 176500769, 106785452, 525650564, 364048765, 456709834, 725710367, 927708211, 915724142, 55725238, 438815885, 965967140, 166616372, 276527202, 888056674, 630106586, 476779036, 98919123, 747644827, 633137544, 767158948, 959072818, 767005742, 820174844, 540285966, 414863431, 942185355, 759716271, 86469010, 427027088, 747120285, 381360095, 921576020, 940036995, 404017953, 955523216, 57440028, 943690952, 838677234, 53701121, 46782032, 996699820, 410893343, 994262070, 156493209, 663790423, 345668250, 245138641, 14295014, 240913354, 272731573, 504022188, 859654138, 510740021, 466139760, 476737305, 667822759, 150228754, 858787789, 495060068, 145935811, 180008060, 732974186, 477476877, 931308206, 920075435, 164656465, 545685736, 243150944, 995687426, 405640124, 942506737, 551442674, 127228789, 347458641, 444928614, 251599645, 652445058, 737551138, 318874287, 961279942, 285470135, 152836401, 886113196, 418904552, 668561088, 379314623, 950332430, 789983493, 490685682, 340310627, 415843335, 186006161, 300628480, 524882353, 702756858, 678824408, 48401376, 454418887, 405336472, 678947615, 168258766, 955715135, 561801735, 164780700, 358313606, 301236783, 233326040, 297488280, 563945631, 68859479, 256824360, 984877417, 312582346, 868950722, 14624992, 298388671, 877470011, 894010913, 904336345, 272503859, 11525090, 906562198, 424999605, 630326123, 600617657, 208423538, 328141015, 263925084, 404192646, 269702861, 273620166, 623609974, 455825440, 83009717, 90326863, 257809756, 325398573, 322906266, 704375931, 653062202, 463138628, 523585717, 528171821, 127566739, 631110592, 858756467, 984822527, 415812759, 832117515, 355231067, 686918562, 30199803, 790339594, 536261496, 319221198, 819036472, 400193195, 879428092, 739880850, 542706540, 692945917, 741700013, 911950049, 327770572, 330924155, 45086869, 261286564, 770326979, 423123221, 653403901, 144406925, 827176854, 528095320, 986104727, 667214927, 218909653, 386051073, 276134300, 659665910, 474310752, 746923623, 877751285, 150487373, 568063767, 957944171, 517531112, 827241901, 288534597, 474266633, 830478552, 391288881, 263517083, 794600872, 696574290, 390192905, 965091249, 873253893, 763560636, 313450348, 69814691, 732625710, 396932100, 128157031, 534900914, 723030206, 926766072, 409525245, 635434259, 683362315, 308255824, 644286965, 398932930, 688647753, 347142775, 823611942, 564727045, 87660128, 806093818, 339915871, 17967514, 406349623, 677105533, 525133380, 663457084, 151673230, 789952213, 314714063, 232968781, 462652433, 651618742, 368094446, 687781706, 443197508, 404394107, 767210684, 980809152, 515373605, 893470917, 382559794, 281762146, 957666449, 319940871, 940787720, 524324154, 696774250, 40296214, 956806407, 829096326, 962830958, 162955450, 928364793, 531223515, 911415567, 235539474, 673211251, 892761485, 421116467, 832140783, 102957669, 579824057, 74604898, 920440161, 705130257, 752648096, 23712587, 308440218, 824579015, 367884477, 151397390, 298292171, 140987740, 566688696, 830780580, 158276255, 401077323, 607950100, 839288633, 694640126, 392011698, 152901038, 703332390, 117132907, 825038395, 539066717, 79694135, 483101461, 252281086, 567565459, 685709104, 398776393, 646752380, 137954988, 267851897, 430047488, 442206444, 585987371, 106898415, 293123576, 379250030, 14880713, 427484884, 993348935, 155387962, 720970279, 86403567, 53385600, 993264607, 874497978, 777186005, 264556129, 868534972, 656054146, 446616186, 128178606, 531925803, 537658690, 444661112, 885962291, 327994647, 669047021, 797532099, 889010038, 111123626, 7817020, 30772459, 41906382, 780838506, 76517460, 270782936, 660708132, 149109201, 832742318, 650335446, 881008384, 25034670, 436851563, 749818627, 435787441, 248646612, 627319704, 85262326, 694065322, 332537284, 22961639, 297333860, 133854856, 811652375, 455245724, 157716576, 677134525, 979292090, 339162588, 12209183, 565107436, 505717868, 801004815, 626813607, 215198819, 305967988, 901704235, 532258330, 86837751, 889122965, 456404790, 482414208, 258059997, 14402699, 254949290, 492266460, 414732582, 590111719, 663516878, 61981418, 361800885, 33031380, 706398217, 406082658, 470412424, 703563842, 750820104, 999035304, 377079067, 246328184, 888754610, 356484610, 402493928, 701061501, 191792703, 588118805, 249172487, 120589510, 561540636, 387952176, 752440551, 470694655, 388736782, 71717417, 644841026, 297573176, 851683786, 168554124, 394132345, 543359417, 502942422, 822988329, 770420818, 84222441, 235797053, 402223637, 534725329, 761980501, 187299207, 207328243, 146345985, 498276394, 907125371, 310500133, 148072701, 732886324, 875776524, 69057930, 586586276, 545740710, 876505374, 69812515, 525853588, 331497948, 272292610, 905052975, 59123867, 82474557, 573761953, 626516409, 756572815, 889041414, 616599665, 569046529, 144620977, 12131880, 386427267, 744307539, 811424916, 497676352, 838833946, 750680537, 727486287, 875312219, 161705314, 96068709, 601720412, 186376048, 927396875, 137498898, 321688995, 449781873, 485893276, 371016724, 180381087, 77441386, 172402131, 763861041, 885157949, 925072166, 278724772, 625632843, 282596552, 836332055, 411944457, 722429157, 21707720, 234007917, 74435024, 556614465, 651459763, 925843293, 286912744, 16112817, 15145827, 643589854, 875142562, 889994196, 991024969, 800700388, 960714507, 683310431, 354641879, 383222955, 161296450, 217521434, 984413807, 21770976, 399838318, 743730184, 411590726, 736100500, 715776375, 669484737, 88886538, 526964247, 747752232, 815317965, 813051319, 83422359, 50976537, 442449158, 604191491, 159244205, 856266421, 359274198, 477029150, 888268437, 516870855, 108961603, 442455987, 415679375, 20376685, 573559924, 751660822, 14595742, 414240621, 747188287, 153313934, 896726148, 962472116, 255186706, 903194400, 454568771, 159054198, 567630756, 606500961, 836766944, 832771434, 231960788, 547933287, 679291107, 75049388, 389804341, 66351917, 531029043, 49655388, 400565315, 940283160, 330271880, 434429373, 106107941, 313493344, 398346407, 447583581, 135811983, 502538314, 387647711, 210670935, 826415045, 986518893, 37111910, 574750922, 773111003, 1111797, 523432925, 993927813, 394523861, 740800974, 662774506, 383155971, 506996163, 254696404, 608659928, 655885548, 965059920, 846436180, 927596358, 60338495, 729926782, 823750503, 523126706, 191591965, 492379334, 823069035, 95386240, 711569148, 557616540, 264337872, 66190198, 986626953, 215336043, 704690787, 293518818, 477352181, 495395488, 557279141, 426219766, 857007431, 323680409, 475350579, 549028588, 603947182, 982664968, 445868661, 232411922, 246409607, 576992137, 516543771, 947795721, 105748213, 548346974, 973210290, 229376822, 808835795, 528089839, 718600147, 277341834, 669482004, 261937402, 711189762, 116677611, 856010057, 838250469, 388440245, 847961863, 931878532, 954515745, 376475218, 353571332, 105664274, 594760340, 526504469, 619597916, 751847552, 714745551, 136666034, 364809804, 313591434, 185712007, 899304358, 83101259, 676781050, 761556063, 121534381, 508020856, 746482621, 520139793, 356164618, 506882821, 119795552, 213179788, 794599981, 84820695, 854713366, 452419675, 305295909, 287244189, 467847255, 473057716, 179629741, 521891933, 540993266, 240374646, 372570593, 734197413, 579023117, 556644739, 264839762, 537548662, 455603315, 496727140, 5861713, 24697704, 43164008, 913138429, 319422881, 703574960, 33982260, 309922162, 107928389, 987899983, 726173255, 421903051, 971675887, 817858391, 651150241, 407910979, 152677162, 944825572, 385332262, 122716067, 781709591, 838860726, 31513314, 642902281, 315944727, 175367775, 107184033, 518520597, 653926664, 899314611, 44797798, 690064889, 18151495, 906130718, 97076335, 498657693, 141135070, 891265736, 144943099, 563210395, 633810518, 867610816, 284258365, 695983038, 428210304, 18829415, 168746948, 162389553, 80051344, 855288218, 190600893, 805750365, 540434069, 719061364, 641366544, 97266810, 302311488, 510633283, 399136634, 341620868, 399929560, 699782030, 182213882, 368207540, 169550210, 752661066, 266261061, 883925024, 131016399, 650876497, 281059901, 73445545, 761457029, 22735002, 649701659, 141286061, 657028281, 806285744, 784599091, 280887203, 10449716, 506613058, 699183085, 522756576, 503025200, 207795612, 628579529, 439006378, 299072036, 801038893, 856103273, 569899351, 446838466, 656881705, 979677087, 358100772, 351453724, 627471575, 288731226, 252404710, 715345080, 120735797, 935144522, 677666110, 78591497, 691350292, 278818736, 282057965, 399461964, 532130104, 35618041, 112363137, 784885731, 152765164, 221414102, 6070970, 561310010, 271276233, 54989676, 72175799, 768703740, 272194376, 365325135, 204778141, 456302232, 971096674, 491411576, 843550846, 315307566, 398836757, 48628847, 685175877, 781100001, 703085825, 140794743, 133924705, 798863563, 319607704, 999163286, 370875315, 443242973, 509390916, 584021769, 742029695, 262559021, 906899657, 850850898, 399418116, 107906093, 186731045, 731399993, 480400310, 281003779, 930636185, 886315421, 606227150, 889777232, 179539585, 145105729, 805738850, 52098544, 748460496, 311577816, 594384448, 393633438, 899356374, 799030567, 627197184, 426131279, 325895813, 780376570, 921247279, 385391252, 724681706, 366675153, 178637344, 838377758, 374197683, 115724703, 849804979, 78694545, 997311390, 78718781, 734425707, 810762486, 694893571, 815423631, 288612404, 450208233, 917358984, 11887704, 332364342, 44876917, 899487119, 413346825, 693058391, 488889320, 832878372, 211080222, 657428480, 994036037, 340778665, 756319265, 288159401, 787491524, 978986288, 928974735, 849364599, 147377334, 442280892, 366022705, 10269902, 369484578, 959935144, 914686811, 461856524, 103244095, 935421730, 310585190, 207407215, 324685839, 665744626, 578181605, 776050212, 900938601, 106209174, 280326138, 171209380, 682474053, 271995098, 306503766, 582418103, 434140884, 226900665, 402272867, 667662745, 195825780, 721859096, 993475237, 196550427, 240903150, 662206831, 889021831, 999723617, 947885906, 702033246, 228159158, 484356963, 254662208, 353484021, 375945499, 735092130, 692292898, 80505075, 11027904, 961062619, 820813110, 283110677, 550478501, 932291413, 805515194, 542581557, 505850663, 803642322, 619285717, 156871076, 194542932, 7147069, 896217178, 124484100, 71451414, 901275434, 984753844, 928299205, 520304902, 118240315, 350413709, 710411178, 373858559, 861530615, 278769522, 505660702, 492558912, 371945289, 307632072, 789018759, 137680047, 523366522, 490950851, 481290908, 997176137, 616216247, 325346123, 911230190, 687545103, 351436330, 673042351, 867175996, 997737551, 903804977, 64733042, 757575064, 959048683, 593522530, 879350786, 376081016, 579423379, 853537519, 174104771, 154772825, 247970416, 977554519, 442156403, 685316823, 635762929, 774202202, 768972205, 930455498, 137635900, 681394653, 813150980, 266927445, 49873020, 600886895, 923035344, 164442010, 327248915, 179715698, 231543836, 97165915, 15354307, 783019377, 337234946, 264615867, 166904931, 129498473, 549245965, 312045758, 101312828, 22797582, 580752370, 409021727, 943919548, 401569321, 810162885, 401670620, 184475351, 469549624, 780155018, 364188328, 457490383, 163362327, 300263647, 879023276, 698609641, 628008279, 564922116, 172516218, 6994774, 143199971, 523854661, 247714264, 953290383, 497841623, 776473070, 623590170, 705573173, 60341577, 346019249, 656200784, 199522119, 618503721, 795277967, 784059581, 505056042, 861264265, 513289101, 519765067, 968841978, 285644423, 29874174, 86712492, 341240972, 860016686, 414530062, 377901124, 485564686, 177704571, 791704242, 763045640, 761159855, 404862267, 801013800, 944219555, 901139845, 993613636, 314252246, 671801902, 70672440, 53987881, 289940084, 403065084, 108163952, 106482753, 870012392, 53844910, 85911784, 712580764, 356708858, 171367686, 900323572, 250454525, 97608162, 528306495, 254704274, 990498601, 543741273, 824456817, 27827532, 954310105, 222421642, 627251742, 910031857, 936177808, 382895057, 416660341, 32272862, 544484664, 491751920, 40503669, 836107242, 648963865, 464059926, 769121444, 855591539, 302534919, 601850006, 611972881, 979140165, 243885749, 553381052, 177827438, 276292410, 310817152, 196102137, 448025393, 278242050, 552387217, 514454091, 296907616, 751916847, 158318124, 104927627, 594666848, 106094293, 577943062, 297881084, 122858655, 439927697, 943847776, 601018198, 920816673, 7833495, 317766236, 885771904, 562233713, 991174270, 700648107, 976762517, 257599700, 860376300, 833391590, 584328417, 517063940, 21841580, 544797064, 144575552, 907664515, 780266224, 748956983, 680232503, 114060339, 323307037, 555870016, 200176913, 674776853, 491174803, 345971411, 534396930, 710626944, 39585295, 700401104, 216025996, 769458332, 143549653, 518896678, 75095695, 541827037, 734278939, 976496190, 319207084, 425556778, 217413700, 276464843, 76372051, 907008012, 355157062, 861965249, 828580717, 619005291, 329153204, 192727045, 138408735, 591169047, 941756171, 122560494, 329181840, 639761772, 765343243, 547981003, 960903026, 131425969, 501382071, 988804151, 145240815, 328491694, 650948794, 261873629, 166111997, 27031805, 51047979, 230903203, 917429588, 23685465, 696922636, 878695966, 954789255, 996702095, 427361609, 21474313, 883385287, 649158820, 675196292, 419525433, 71373872, 723194946, 542378666, 567757265, 485309602, 29760490, 691536351, 95163562, 545072265, 946407347, 147413137, 813982725, 537424949, 631631259, 44904659, 387402489, 677960330, 170087925, 937734942, 781629179, 541692631, 62421520, 100854188, 234888039, 80944970, 877169879, 187322918, 980368428, 846878170, 938426324, 497044097, 419778987, 431329883, 60993369, 937445486, 927538087, 883408671, 866887315, 709862119, 532249558, 679122353, 346318832, 886515141, 154385004, 197911829, 580387930, 803192671, 904538838, 439495268, 895007130, 563876511, 337772411, 281276821, 214318091, 395190965, 937129647, 472358985, 562944790, 533992102, 215810828, 201029225, 212787292, 571498367, 373002366, 278681913, 780591610, 453657736, 565545091, 782922710, 739894293, 931805207, 686170151, 780523613, 321633963, 243453729, 980754933, 831846176, 322235095, 193437521, 849909314, 921182061, 484972433, 725269632, 732885076, 66812282, 122894856, 929151703, 187595784, 134116581, 405803818, 442364939, 147003020, 92408618, 847070081, 651487847, 18889494, 550827308, 409951280, 858593666, 192217490, 670443020, 752357743, 305168092, 166856463, 320828923, 600354393, 9151187, 324215799, 118799590, 509362873, 409237999, 523620319, 964118977, 437886697, 868760, 730269549, 970928679, 896711052, 699744316, 744355277, 780695676, 988460097, 248042345, 609536109, 185380247, 829478819, 70054733, 210291982, 731069034, 906397317, 688256037, 81942410, 274437196, 746660227, 427196992, 311405989, 461269573, 128066913, 81077290, 796035387, 625362010, 821756001, 484854027, 761183841, 122750543, 689596821, 724998853, 442455763, 51027302, 359866654, 725709704, 422025525, 340512836, 950051684, 198869419, 732379310, 765937352, 536417451, 494367704, 499966404, 934726126, 226794318, 956325335, 835983637, 417455383, 812016890, 763917785, 291753974, 677097552, 694715637, 244057803, 625201829, 489843658, 979610644, 897940676, 235424080, 980764901, 533312088, 815592789, 388724773, 719792457, 572717977, 310728315, 952598118, 487702974, 652463645, 979515199, 543099113, 893678873, 150827214, 58866747, 521861308, 857018344, 722558201, 529529902, 514228500, 58222062, 630151167, 436200350, 131296429, 298441148, 315735211, 513164879, 554086935, 703319410, 263973575, 587423010, 395647631, 494916675, 167417422, 687402163, 423467647, 415543798, 507490895, 329395860, 575479110, 692004574, 275342736, 189790036, 539157909, 446961227, 633055809, 190239455, 43631111, 689442577, 318873066, 738999267, 879394535, 82440124, 166623378, 786334110, 421777394, 13513984, 451723395, 126055454, 904670639, 638916246, 582710358, 280392613, 273704305, 16188584, 966736517, 605185, 735842104, 166555488, 977732994, 565184098, 667366990, 178661842, 730135640, 457953765, 883059544, 438078173, 215014496, 921882335, 264126019, 358423547, 507014858, 258266998, 692222822, 753546375, 41722277, 449339851, 357497165, 140186266, 690832852, 336058965, 24803933, 998157017, 698338470, 38199032, 189826742, 171063555, 87058476, 875306352, 449953410, 658202295, 620191206, 972748440, 621665431, 248315349, 261326789, 800892136, 793364002, 910782251, 81304722, 123799170, 857029897, 626568518, 679631642, 170961959, 259348304, 485368065, 315539667, 36095790, 28466984, 395405504, 171987162, 737247054, 682223014, 195034510, 978452094, 291989702, 382236832, 233254197, 489488245, 32178482, 439289114, 712986594, 281385482, 810346514, 391197789, 511001418, 172460317, 970855701, 857505648, 498428410, 696149869, 331226060, 512844951, 13269286, 562704826, 973039986, 308555470, 777565042, 114388112, 901616199, 990068299, 786985466, 363630169, 529012109, 639692828, 138743113, 148970961, 648889664, 495751395, 224003026, 460207433, 56498021, 926191018, 990235439, 607352562, 276080160, 282559839, 598361928, 143240789, 307383483, 691974670, 990700420, 815195158, 720803819, 436220021, 32487082, 395888814, 724559831, 482423541, 548098427, 262227806, 739915593, 314777385, 563707263, 802338755, 659469613, 141295569, 538716373, 501302430, 404228012, 564524981, 674595966, 993046706, 592752447, 412310540, 569271209, 644793491, 40198801, 451847501, 610051844, 274519416, 204389269, 200855202, 171465805, 122570720, 854170518, 189116675, 347395192, 993406692, 714538101, 380071202, 375967981, 616743949, 374076178, 596072537, 315655688, 986446374, 242748733, 952336456, 259346963, 380523286, 23889051, 615373744, 69752800, 194202427, 669079342, 235594221, 183428934, 605313912, 995341743, 125009622, 604017710, 865232116, 275275124, 304959689, 508172991, 49851109, 729514785, 759602737, 138503813, 274397638, 138852959, 451258444, 604027077, 266533781, 770581028, 626816203, 603864139, 59555279, 775097753, 386760846, 160075255, 22869792, 9745514, 760442514, 660577727, 836191914, 787026539, 119816321, 783056780, 217494854, 854876924, 904807225, 164037708, 605207839, 764872635, 964831755, 391933795, 129597731, 819712474, 354902394, 651272833, 294158639, 237667193, 226916118, 698867120, 71616113, 609314023, 395749002, 687655596, 1038879, 334586720, 6479409, 536101844, 176492603, 469297374, 241197491, 889160166, 406214891, 88702251, 849498063, 288582376, 228244642, 86444501, 908262873, 446586115, 947971571, 236852110, 565245818, 113832286, 800134225, 257255971, 887372192, 613380748, 65758732, 121790430, 237723810, 160511707, 741074949, 252411386, 5588254, 28713888, 252716133, 945560242, 177393363, 285665531, 881603906, 364067044, 480725775, 108119785, 501950019, 45172228, 312036158, 38887388, 710346215, 483857157, 974145493, 100298348, 192234961, 153382091, 784459819, 819197244, 3133952, 712005737, 411431119, 568056499, 728048119, 716325364, 162806686, 86512612, 715309877, 398096757, 857955816, 88573818, 4888639, 685144025, 325270325, 13127231, 67710628, 33006383, 466564138, 682513907, 526923255, 810060451, 452370930, 654230844, 287394957, 471427831, 98730964, 889099179, 993853989, 306695677, 181463606, 765467532, 381674290, 361767369, 733855377, 959533490, 376660512, 776167775, 873162851, 564356999, 486358325, 529332882, 804296216, 440856478, 344596366, 12314977, 501941014, 103645938, 15053082, 530467748, 68073367, 371361185, 58318443, 300531894, 105569488, 92854023, 497568995, 302377329, 894656160, 952973070, 206163011, 467957611, 416267288, 734321393, 766162209, 328102320, 801069738, 816046357, 284407505, 225937325, 143877575, 638054557, 391728259, 579021874, 18934388, 383725342, 150423150, 806496568, 41061338, 557601072, 225411280, 914909141, 280663201, 260120862, 354316099, 234070254, 467039061, 462870081, 990021631, 196076633, 762685683, 195545853, 601767486, 435578818, 347108811, 59881544, 789381570, 272425869, 538169121, 329909867, 186984736, 856260997, 966782253, 872597951, 756566473, 567539701, 286533273, 729146797, 965695685, 413623775, 161222991, 97433187, 420213599, 891548367, 642315399, 540200060, 547933618, 615968353, 378368009, 267890899, 345046476, 393215657, 799498876, 84712457, 653497333, 953154960, 382949496, 808871721, 694963347, 658361016, 156742459, 155045205, 879324396, 397028636, 847020647, 60648701, 663823726, 567638642, 739205467, 392579963, 709010640, 255645359, 536822818, 513165142, 742368718, 614528169, 593370177, 835724989, 382664364, 846484694, 578713665, 556274652, 383858790, 938379915, 287642629, 798999108, 648273434, 256671192, 235726737, 643102124, 302719076, 677789802, 680582044, 289598120, 683910897, 618736954, 546128995, 505542972, 56135382, 513046424, 46549129, 952349465, 845497502, 767079949, 236473210, 188608607, 443534576, 364602264, 889137864, 207927632, 456575117, 635770123, 249694245, 886010241, 366879421, 776562069, 293293689, 72998959, 76584932, 286346904, 117762677, 646793573, 713174784, 29329309, 638995511, 556001867, 398694620, 64660322, 437263738, 859790003, 52938907, 929421277, 109938633, 165531932, 720911641, 555370350, 576048360, 898801139, 238225605, 270182515, 947418983, 899159636, 21713951, 77170778, 38468174, 831236825, 373038364, 453178040, 248330307, 559022242, 630617757, 188396131, 322647286, 748986686, 609920330, 76489453, 714240865, 670418022, 634533027, 562352416, 777360977, 737545590, 799894466, 315034411, 280789717, 699173147, 793051330, 172586507, 988793204, 227244692, 928329922, 819528454, 593040436, 416410793, 657491203, 422768058, 891393446, 422476664, 456073044, 761783391, 8950330, 683743172, 372624872, 621892519, 361933024, 553314448, 357582721, 282820157, 269733505, 37405465, 820379708, 618078850, 959954637, 589862371, 891346219, 265244327, 783439524, 388997403, 796050043, 827535554, 60810228, 992256735, 421781383, 38152656, 465847031, 922293882, 32272927, 16924869, 240291409, 907108434, 781471784, 865707676, 825626936, 444981750, 837450821, 973080770, 474262415, 647336498, 964370482, 947838725, 793437804, 944023608, 233381644, 315076250, 268248928, 841493610, 145138665, 424669224, 712213930, 887988483, 96460297, 313851041, 364884669, 197298275, 284604261, 592858347, 2075343, 833448195, 442031603, 143337141, 909014726, 838707588, 673776879, 237121756, 61869106, 876970989, 183036766, 613489220, 838333895, 135564412, 12405562, 427409659, 389416737, 546886974, 821388532, 399667271, 10115913, 141684574, 745883999, 48313711, 6590517, 142977355, 703459138, 972608568, 290156512, 494759953, 104739161, 110780388, 476133300, 861108460, 691515089, 367789010, 298721563, 300467797, 69640173, 731390672, 49282990, 558280754, 240412973, 94830923, 892592396, 409911396, 543275288, 597766798, 112267386, 326885162, 124051648, 19660270, 618788976, 577738003, 623948654, 613153309, 448841157, 162395592, 127878628, 569779745, 436012301, 983540486, 343354573, 35510153, 498302457, 408028103, 376258412, 975884994, 927380001, 446067314, 891034030, 406824264, 893412766, 879661267, 262264433, 797280423, 169880433, 246411894, 969559200, 999748328, 384090371, 827866749, 894454748, 489027107, 345572331, 431389732, 961661392, 332507513, 355432793, 107347557, 238084605, 918920583, 97684390, 896185956, 60548293, 88156466, 129205667, 137242629, 140970777, 934567897, 179399278, 503119566, 662535078, 455259266, 703029099, 247033655, 252008781, 860340754, 43544047, 316188792, 785622133, 838858491, 725196949, 43172630, 792007328, 143769527, 554001053, 11014222, 925695116, 149609398, 622245056, 864121314, 599588570, 964657230, 858869282, 25821699, 347513860, 977312620, 516342339, 561559404, 553667025, 885779956, 740150857, 225919607, 97708667, 663820050, 167459691, 393864413, 736060706, 912060804, 720669876, 968430375, 597131250, 277474508, 751661181, 624494340, 337452648, 260594848, 152238690, 314531680, 22563405, 567449545, 570290551, 794016679, 669818615, 612415177, 269251929, 222892157, 77328247, 341992212, 781951196, 841261942, 322164168, 825789778, 142276966, 422399944, 23319945, 455235923, 793195271, 810904677, 246954686, 96836603, 954208315, 840976239, 365289189, 734111881, 612216414, 721801060, 882436541, 783255937, 828656905, 842064479, 152250987, 624448295, 426190853, 921453627, 725471750, 844060780, 272409354, 422132965, 373705438, 184134426, 572385700, 797663067, 381914595, 280267774, 395743065, 170457392, 618958668, 972105274, 367589541, 635163512, 546588552, 733719244, 655537469, 280539387, 121639774, 219968596, 516032292, 864150506, 459711926, 738049856, 374243167, 531897836, 696817475, 247419906, 610492730, 726726565, 545023069, 341718292, 36107744, 425482550, 919431850, 494271316, 194489745, 506445366, 315572111, 182444468, 84502571, 827570514, 813967709, 129161077, 572166785, 263969858, 986135893, 121864900, 544547310, 542263575, 891628801, 392400060, 999021343, 226304116, 171873397, 874244388, 153753094, 978028958, 128999961, 165458888, 64182763, 475346051, 305433400, 957939041, 263458662, 543612623, 789810787, 359458757, 202150670, 722971538, 850845860, 785254867, 957699357, 93630241, 664388223, 995473552, 869250451, 662940349, 809270922, 653068814, 400847576, 998458755, 602592050, 874352063, 539871208, 133317712, 427582732, 378653068, 557424699, 551383444, 75677133, 385729944, 558481481, 974238218, 787199545, 28046850, 25124385, 771008702, 892738285, 26403297, 701127371, 344790106, 164066687, 645204653, 514046176, 165166401, 571912177, 189726885, 744400512, 725136018, 922960939, 476964226, 183615986, 532937481, 296560617, 158660682, 775072798, 318014131, 87872803, 65066721, 625205688, 752360777, 192912819, 17587961, 275373371, 557574822, 729558905, 382170795, 148566599, 878202606, 154683890, 42800454, 839396993, 227311543, 128604656, 901614563, 505453437, 666142549, 271377427, 668279528, 148774081, 883423396, 392108787, 334941690, 305193415, 851046694, 448435143, 618731826, 356559174, 569670892, 725215762, 120097410, 640979658, 521960815, 204226719, 667628625, 876040020, 686080495, 295106661, 824048975, 676227338, 60206023, 467499238, 3123613, 432318485, 605501075, 411247368, 780818142, 151435068, 211597401, 928568485, 55980710, 785282330, 608361079, 121393406, 653261471, 792318686, 407129532, 805081711, 884108467, 46674579, 599379977, 490246923, 727468783, 657311088, 350330933, 804377045, 7610595, 346283498, 914809243, 21276487, 156560213, 205836220, 392186097, 692533175, 256388476, 694031306, 922921366, 581013949, 409436852, 431512766, 943553357, 538754187, 637263832, 124514277, 718842154, 226680801, 59969987, 617243679, 447513542, 152022591, 45211736, 446862720, 588508361, 559810773, 426242216, 956690638, 259819517, 863866819, 409729514, 325257317, 845533197, 70777570, 457265305, 38739421, 435541708, 717994842, 763053129, 316013592, 232526264, 813756165, 815997314, 935086234, 299467623, 700562225, 358608426, 854347938, 410643380, 26154659, 137279553, 971839551, 977521961, 202098206, 498752687, 939137734, 166486414, 283348330, 87861314, 898737457, 776251891, 782334858, 687776576, 586619910, 859507133, 669757900, 600830788, 717667828, 786364664, 467070083, 838206857, 685963897, 152844271, 834285156, 19781709, 153892263, 108355814, 869871091, 487084538, 42152894, 587091510, 973734429, 118944736, 833546688, 997941078, 778867965, 115553528, 57196929, 518989238, 32404314, 523484664, 975155550, 371859196, 69769576, 649618594, 646645694, 418437664, 760599709, 470612773, 171550646, 758964466, 952783573, 566038942, 133715763, 497006485, 770250171, 297253851, 525828775, 406903183, 604505048, 821325378, 18596742, 591270613, 646394303, 949445, 386616639, 515095414, 233222138, 335100624, 151177654, 543207282, 566124181, 703882814, 842563781, 592523260, 481123935, 10679009, 384996551, 88143477, 794965517, 165640259, 323308963, 424639876, 517558431, 941890920, 563223399, 539475167, 183967840, 159951756, 134966665, 450726961, 107767345, 534655535, 843012967, 768250778, 858775387, 915709842, 452981920, 552323402, 425775120, 82748517, 516119695, 923708372, 679064051, 84903211, 74429371, 343545972, 96215826, 418203980, 266533317, 260370507, 731183177, 541442243, 290226644, 510617523, 573373321, 17894810, 890149699, 791099246, 44702004, 370279833, 410192107, 561868279, 757002224, 53797562, 168074496, 533294742, 399708752, 384786687, 31650624, 488600801, 441073258, 985333900, 790343333, 266779490, 76159696, 744000901, 937168398, 841915451, 530748868, 738563925, 111966896, 467489718, 176700426, 117976935, 513527277, 310375793, 90600497, 93171621, 604071736, 675154965, 817781510, 628837956, 388127847, 144321421, 176127521, 483268465, 554251156, 28103884, 598215586, 265024238, 945953396, 686235635, 882803294, 474612951, 767767142, 623129149, 169856839, 345419500, 143030288, 257481155, 708403841, 320780620, 788735101, 321564779, 216964599, 618098528, 1739454, 986273379, 876220332, 792402926, 180581146, 648786257, 15534248, 671273964, 527928292, 814420514, 931232615, 906248666, 595702792, 713900069, 752767950, 803155749, 133934580, 28237492, 305367141, 133193751, 530757059, 426481790, 110057234, 648594007, 74650655, 955198191, 855192590, 874385837, 596537114, 430127697, 108816368, 497225810, 318255970, 518503151, 407042213, 925539138, 500294105, 190812560, 682674323, 640176663, 849255216, 101231093, 274146550, 390213149, 142903097, 694643214, 684449943, 428791064, 672788147, 566525954, 953986774, 459145100, 89920884, 560958763, 274599298, 133984398, 812390540, 813018107, 23124214, 384731538, 737671000, 429396288, 374301665, 140116877, 247680322, 705957305, 321477566, 154785593, 339873502, 736378020, 859995727, 965694949, 625421623, 889331118, 390547761, 800327418, 767844228, 934082352, 404260356, 666758867, 391887152, 804976308, 832804748, 674501797, 879407665, 429393622, 739726895, 416038773, 21444234, 394770483, 5389913, 564947550, 847270558, 413957460, 523003455, 94075286, 593235674, 733450906, 717484389, 663488342, 568164610, 868277991, 310403540, 779683615, 212393820, 849968809, 918896686, 994923470, 908278723, 646845556, 325068325, 175505608, 428267075, 307633080, 77149702, 956082016, 875214040, 619963980, 533981106, 868618176, 472123848, 530441244, 205422569, 196533449, 475633432, 579090789, 703164848, 12869346, 930760116, 438277275, 346230381, 711010013, 971112261, 77781285, 197129761, 492988204, 334954038, 513519110, 548862099, 673049424, 466254932, 141767001, 628522472, 487147805, 196230386, 548163700, 19525495, 396301018, 202257619, 598797242, 551314581, 425512448, 80817348, 717846489, 330034602, 330602516, 949010332, 151278639, 287636672, 286985908, 957796783, 926554239, 565323972, 69805639, 379778241, 155633318, 778345679, 57130281, 583254041, 431817577, 119982068, 145362963, 763099076, 600545501, 368567435, 516731510, 660908924, 825997714, 98264328, 916872205, 482535230, 575811296, 413577619, 929653249, 167323421, 831113783, 165394640, 305298277, 748188213, 412413753, 390449666, 208271985, 464121130, 435565884, 601565201, 330271472, 9805749, 476491711, 769426265, 94980073, 84888109, 541787076, 645150266, 176056137, 348376327, 201197043, 561151641, 390525600, 58563420, 648515989, 544919012, 6374542, 361737439, 769191617, 746267424, 986062802, 647932145, 694841391, 757278368, 698996101, 783975820, 963228469, 739312089, 750488155, 625340341, 481061088, 582915163, 557405892, 160978943, 49027742, 570506441, 279184513, 559617002, 884689427, 331260434, 561943754, 659701149, 13521230, 269861200, 465438535, 414963660, 260351235, 615206284, 22987255, 373713119, 989643229, 462794845, 841373420, 793648426, 689862652, 431862135, 515158620, 907671692, 252861163, 75962683, 324743059, 109651070, 122231047, 861695220, 949900666, 111657605, 340029945, 750775081, 743301263, 522708338, 733250962, 45469927, 746762169, 442144189, 92737397, 203370794, 808324701, 995296402, 886333667, 21045763, 968824590, 315812454, 433416303, 397518113, 661756647, 665996821, 280768907, 55496314, 62789534, 96667421, 311262795, 414763911, 607336705, 430731748, 573181241, 832689681, 921856481, 997916216, 754219255, 614746984, 245882767, 244795793, 184091179, 20294712, 906040454, 820013994, 126398, 174143455, 645013367, 637271421, 519031774, 329863761, 810083469, 913068927, 326023927, 399672736, 336659137, 405089130, 905063978, 914002695, 411510847, 720798797, 583851634, 548348213, 211898053, 800023638, 891373152, 728720849, 715513758, 376857753, 218610096, 884416707, 228559141, 16428912, 373683130, 476096933, 304355713, 952268771, 452086021, 580692650, 298249414, 547435969, 407169257, 147153438, 895933765, 471816602, 747606417, 681544983, 946808150, 517218615, 568498116, 475745676, 341112772, 806390443, 123394172, 725791210, 830755668, 254744631, 735217522, 978511300, 749208488, 587912008, 911952324, 342924919, 221774881, 430678947, 800217803, 18658762, 587509766, 887352779, 650205231, 988995474, 886518436, 175242783, 611470329, 828721808, 201548487, 669131527, 68541894, 475408519, 722448924, 798685023, 858861714, 533320902, 594669921, 673984394, 583325363, 100243908, 280475273, 464327534, 264753686, 450059429, 823758976, 88758937, 659284670, 184407921, 515882506, 881234616, 655566539, 730694100, 84262147, 933173327, 190185637, 873371834, 907881497, 495801247, 93847099, 102388760, 881560428, 866557307, 98863117, 992720055, 194188293, 902930642, 520999805, 856346173, 515791440, 714085294, 382469487, 456475202, 219429564, 932079280, 684004576, 866400899, 751750696, 10394689, 413936319, 335674410, 550256580, 82409787, 421669629, 567409406, 468326495, 772554252, 409132740, 479468303, 541524899, 470579547, 388728038, 18058534, 553713413, 820274706, 507212585, 924425232, 587914240, 297907561, 732170780, 826802852, 962039174, 314789168, 745533305, 713550267, 429115180, 981015931, 119523004, 462467952, 693290073, 525183166, 160014523, 548275957, 108749219, 863109294, 478798920, 781033736, 896884882, 354571884, 499946143, 604953206, 707135457, 960709805, 371644, 726407050, 743900716, 450862803, 319501780, 212855034, 609338781, 484234335, 617436576, 252229965, 794414690, 374667571, 143705731, 259490979, 80491355, 578891147, 807481322, 795609594, 286044049, 637771722, 329346168, 828936548, 860710537, 43521261, 675101534, 428503351, 965647864, 385605782, 35365558, 69009574, 620101598, 24448726, 754432615, 227775014, 23043207, 192097769, 84913585, 799999844, 836290540, 864107702, 195108140, 478641369, 779903296, 553771900, 932239809, 833379281, 282570078, 260834726, 985887528, 559381044, 871816638, 465538162, 305074371, 534951628, 747725895, 214050370, 434099076, 333144056, 850430845, 292136416, 54311874, 875600733, 559443580, 24898882, 879172133, 878628314, 737478569, 459759138, 383481741, 291196584, 764114630, 175261149, 388400003, 771958661, 488794635, 642576096, 374909455, 563225805, 598859208, 907984915, 700317622, 731275242, 978889720, 387219744, 59337858, 674362482, 138483923, 781382256, 662490316, 14446228, 206731632, 44517849, 622434319, 727591295, 2030702, 145189054, 445189403, 584258047, 718771582, 200760019, 830716513, 209739329, 876744918, 232225161, 468254971, 517261578, 799937660, 807072655, 111592634, 68446445, 226674156, 728936229, 228037370, 542491144, 114359892, 280129992, 846091257, 667228019, 167942450, 494725086, 671974136, 614488391, 619505778, 713178374, 229424032, 804332676, 906774859, 428368582, 239493666, 978509828, 276500418, 619227605, 763619467, 318150750, 707080672, 429615871, 283906113, 926086933, 21787960, 946290072, 138776480, 609458039, 423037733, 92989616, 693394317, 750255391, 318119310, 827325213, 204491938, 870326531, 336135176, 458568320, 217125137, 707330566, 586046741, 510945360, 672179039, 882992955, 660226296, 249734315, 460963464, 260740863, 387485121, 533477444, 829484530, 254710245, 687285260, 675225955, 49450508, 933396766, 286984317, 78814429, 697375294, 180531523, 126266492, 163424336, 965744791, 548658442, 670364314, 158609458, 545967743, 607479737, 534032031, 757540074, 334652182, 234884528, 320781894, 110640926, 610657211, 930713321, 379146203, 344771713, 235552630, 102697584, 474954785, 657227725, 185815963, 625506272, 802643078, 259402637, 74022562, 447322505, 542340405, 381156376, 420300475, 271267431, 76247478, 1037096, 342639085, 602359352, 592212644, 268474184, 838319807, 594382379, 749701190, 874884869, 620444770, 899436315, 221852562, 86708153, 803520601, 479619209, 275533326, 527261152, 24737067, 970949255, 524556148, 810005832, 737907884, 173159116, 248509162, 602715244, 234744721, 213374871, 284562739, 71600292, 992768388, 950666793, 925143060, 380501043, 851563748, 69796453, 823367043, 188615074, 799073991, 54593723, 46691080, 126530152, 582325058, 643690380, 759648473, 588945749, 234917306, 386671336, 24390369, 872017064, 669869696, 400906489, 810166757, 198571376, 333466111, 987535032, 298914222, 9104436, 42254869, 218357870, 497676527, 243195341, 933518363, 822595385, 474190187, 846638892, 257835937, 104901385, 147440677, 340438547, 508406464, 616436114, 351323622, 596098501, 593615204, 957006851, 440950114, 250926684, 692197290, 551088026, 483295970, 85296948, 545839596, 137548448, 577626925, 738069150, 975267278, 985090835, 476774085, 879241177, 983196568, 745770222, 396745682, 592346449, 656298550, 635813626, 449868860, 415109598, 657282870, 770049378, 100300184, 828370833, 841948778, 204764325, 779508966, 58957202, 779736428, 55622092, 699985522, 782802804, 564341341, 400534912, 289284553, 386736361, 10465441, 5737442, 297967759, 502823425, 822487894, 72313977, 225626944, 20513366, 108929526, 607118958, 969435315, 12564543, 566596839, 142643157, 981190087, 948147040, 541631485, 485114948, 510761708, 997715562, 303754547, 422270876, 715699865, 796732507, 218833340, 538194760, 980623153, 608191519, 784937479, 302234688, 257584217, 356692867, 653171800, 38690464, 738966198, 295549448, 533250839, 63152001, 302876563, 756038515, 891440023, 564170037, 33605722, 48054040, 719955702, 403329310, 415419235, 747132963, 472975809, 339240821, 751223816, 381352391, 120738605, 783154418, 586147718, 144200159, 481543492, 45057972, 245177870, 449539331, 857332904, 67672868, 499782274, 400236293, 504511688, 752898372, 342129177, 973178352, 300249907, 561122341, 635207847, 327492347, 580514432, 613365397, 473038701, 526380205, 298506725, 375106204, 135562995, 5558166, 241545839, 83147683, 365947353, 126887961, 86107783, 906661031, 717814396, 6030185, 587863558, 869215132, 410589969, 656230109, 515283542, 990068493, 19500818, 940124925, 334283943, 341148322, 730987678, 149251031, 465189712, 35753195, 181667237, 718627781, 551350460, 294085287, 998062834, 687171390, 440417558, 260660568, 256456963, 173286123, 165577075, 252990616, 96816550, 998883680, 101845254, 809734698, 275934573, 799572586, 761625872, 123187779, 460094424, 663392335, 335126774, 850070939, 854999325, 780184920, 36756263, 466322169, 895024627, 203722533, 464079809, 756530670, 986042611, 918297851, 998636546, 194216613, 225076191, 871241355, 188121100, 458747435, 162984434, 924195, 628229240, 966361250, 90914124, 895434155, 231806630, 840312514, 718757317, 708022374, 195499584, 505831636, 340250478, 272532988, 666438592, 511952191, 484352325, 541170434, 851702413, 392435733, 960921507, 727163473, 715065297, 722887525, 157325552, 76537151, 916805366, 739836340, 526073806, 52564014, 603857096, 752038571, 798245592, 168972999, 945903841, 449885112, 228916421, 85790551, 731477363, 493354905, 997696337, 812363035, 941481425, 921622378, 865613764, 901895356, 535753482, 117563951, 579753227, 804723907, 971400807, 533432436, 749455702, 640692683, 504828106, 612273182, 885852840, 625606035, 723132352, 486408203, 901475905, 10294593, 528222438, 566319066, 275528367, 146900178, 192422710, 694481158, 2411676, 114157006, 199764118, 276133451, 203086809, 378004186, 955189728, 730819734, 224361847, 757397519, 772247497, 610546072, 740993864, 948916975, 432011820, 194718347, 341265835, 308545303, 216990261, 351218464, 421229639, 543573844, 159805567, 433477934, 728562013, 565412384, 660024411, 647300498, 50320269, 194972029, 551146531, 465029853, 932863763, 650105045, 848814264, 468226577, 748774021, 505576531, 482819932, 283946969, 787750360, 67672302, 88854574, 468831720, 828568788, 914726275, 580346697, 991267223, 161417262, 866066234, 873859640, 371901394, 876800861, 534687312, 34409423, 313235170, 571496940, 79515229, 503313538, 518915929, 265013117, 514612991, 658076123, 64967574, 857424887, 855319071, 181759201, 245501566, 423526924, 435817195, 363128806, 70830659, 841781162, 422732324, 423020470, 723887142, 304598103, 183162885, 964369580, 385797980, 181217533, 581143418, 599274425, 461660935, 51185028, 927424407, 122802114, 134761301, 976074526, 471314284, 309031037, 299880487, 595461537, 615849478, 749303606, 416163084, 682367829, 741837186, 408006481, 677440643, 828079620, 315231205, 738066905, 862196318, 772475459, 434365275, 29785231, 26556306, 490342109, 318751496, 120328776, 572473093, 493397615, 535093956, 137836418, 381763508, 793961720, 60761203, 435919, 743668271, 588021863, 109318051, 772318998, 97647125, 892300701, 686308019, 301639038, 572214987, 791890999, 166324368, 438485993, 788738812, 239475011, 380805978, 166923619, 41150339, 561646541, 315235499, 46801339, 642128077, 710032980, 445607838, 231060973, 856868460, 431866651, 461532122, 554829729, 804090512, 924541976, 3553285, 281770699, 233149010, 465841348, 329975495, 804302827, 71354872, 103168910, 243686383, 676908695, 591164460, 448406685, 830351066, 504654440, 583013951, 888053024, 29334340, 308076148, 357545526, 978790409, 802661059, 379376424, 410012834, 937434007, 821496902, 624630212, 459612166, 55035634, 738705509, 841764340, 281334857, 13813325, 908655323, 558798752, 32754814, 25153591, 940121062, 490327123, 936296837, 83312785, 175799938, 405457906, 667817809, 541641430, 65935467, 611649462, 259881811, 459327606, 761633945, 948899208, 581707672, 700069836, 409557473, 628244320, 821182310, 402651838, 765219360, 831345335, 641024574, 419131833, 231010283, 375125431, 386085464, 420194301, 646738223, 860128496, 56074603, 554654327, 889589109, 547358187, 13694140, 358128442, 522947701, 114393503, 480953780, 652544843, 514342109, 165744003, 449432101, 691182025, 32211816, 201609502, 953778723, 842240936, 591118275, 66369697, 711527349, 156714315, 736677390, 584720923, 10449065, 757740841, 752927677, 760500470, 283713420, 144746051, 925832671, 132657651, 851363353, 866275624, 746022256, 982846139, 244668596, 558235454, 697586679, 52822042, 616800456, 28171664, 62001361, 675650032, 851653440, 397227487, 930402797, 129900309, 595060140, 763677145, 505062000, 850335362, 81450747, 538160990, 710431745, 5263649, 113351514, 821208069, 598383704, 865897504, 626631562, 441766021, 957064908, 62872823, 57838426, 777244737, 151428974, 265460418, 457109486, 644053295, 883019010, 985909655, 704140830, 230079619, 726027258, 292683, 448221228, 635515482, 423201379, 992346281, 676552408, 460655475, 383830065, 209046692, 848341581, 642078984, 780475489, 524870766, 144814273, 248197865, 190806276, 591452523, 931440879, 370141432, 611960411, 780515039, 465074224, 552353212, 18053522, 47077437, 480213866, 115238271, 165198872, 469604725, 697377376, 297681903, 173225767, 604917948, 608976295, 170550754, 989637845, 724226541, 420587531, 176057172, 707867567, 190785073, 999007447, 236992522, 917244832, 874161868, 549758361, 75081478, 954160229, 280161792, 607883447, 254303672, 101701578, 421330032, 910777984, 295325039, 481073763, 715373558, 35221157, 731455799, 761419152, 371348939, 247456145, 329963691, 600066153, 977533689, 956536959, 327976985, 668147859, 914318433, 166047794, 150019267, 739793118, 568796048, 223985076, 630555746, 886367856, 449766888, 528145246, 849408814, 880142430, 166810634, 29354883, 268004055, 186500623, 657913635, 438481589, 329354704, 797255999, 312529890, 465868777, 555565427, 812979244, 451063934, 900846099, 804621976, 936298913, 205353453, 787924275, 715200668, 678870843, 321438419, 623754229, 813543888, 73698122, 84338888, 56988708, 538463497, 717378686, 400889952, 956514712, 524095332, 269186414, 93278545, 685346789, 813599436, 825371030, 837785813, 67011576, 966586768, 490097547, 708133253, 820441644, 238448156, 626362054, 682046757, 540883368, 626276746, 303820628, 851367382, 316265608, 644128299, 266000812, 376659412, 836977402, 627192730, 962657417, 74704161, 39383790, 702915661, 553241178, 441549278, 157230877, 19157522, 85347778, 77860278, 53942706, 462699429, 237503609, 144862104, 760520253, 594274566, 960245161, 378462891, 999789997, 515038745, 677221435, 140146051, 143089556, 806761971, 712797968, 742689570, 458271579, 297979077, 915237857, 890306143, 824689473, 699877399, 554746892, 710140849, 409396529, 976871914, 639445115, 239240971, 241139765, 404045962, 458020250, 807916714, 554806331, 220091311, 292236554, 138889187, 177906523, 120360570, 239024630, 747840369, 435111797, 334147145, 828903060, 516193229, 871830841, 252330124, 486676708, 218669420, 739789150, 856954502, 666852814, 856690389, 344911435, 476226993, 256804638, 408458139, 309697270, 688620610, 751795784, 906251710, 70378518, 421901648, 423089935, 684341436, 991234940, 971455081, 339826746, 655398735, 177366935, 919107683, 795701080, 911044276, 174614953, 18210176, 137080178, 471556323, 192746949, 505456262, 774418133, 252559193, 65146588, 846064683, 800719105, 475402315, 709472614, 937377085, 924367161, 769621634, 473963953, 471857394, 715052761, 383137386, 576835487, 221363912, 65385892, 376712725, 183304550, 176005803, 352824566, 262018865, 860754519, 574293743, 98847027, 316499344, 586136828, 537252227, 769616879, 852009990, 443119961, 213882916, 649360831, 603076659, 896127783, 840845054, 44859205, 759889313, 255315400, 120145333, 71783670, 131788600, 949155960, 712408825, 56079504, 376609321, 30025570, 264909088, 938573746, 299864319, 910938941, 576712961, 138560869, 214307082, 631887622, 58518897, 127040537, 618278152, 729395076, 913451477, 452822207, 160153925, 315213012, 451055449, 335358119, 551706402, 782487802, 575777513, 851116423, 396667945, 671140224, 951193156, 303078567, 233535935, 537334391, 290017350, 427761441, 261317762, 572194498, 79463172, 491864154, 823689051, 846719374, 214323943, 604677161, 286113118, 209333363, 984173469, 686192409, 854990860, 92580437, 545786489, 243797129, 842352387, 106861178, 20533317, 846866680, 154752522, 46627498, 905092065, 112196, 299637, 958985218, 953654412, 996002092, 304715647, 392617653, 948913678, 838022163, 666139215, 990628967, 505483582, 13508762, 932609761, 50327245, 846537776, 661890470, 956545272, 50409495, 754730070, 870931605, 207863377, 108049268, 429717296, 305287530, 870644795, 366924870, 951257041, 583622161, 261079607, 129703276, 954029183, 821580060, 401848443, 565564915, 570627690, 467987242, 30608258, 328516103, 37993054, 203628152, 939155506, 328733924, 496103455, 559873118, 218361831, 832865970, 17005262, 826617130, 904243672, 29210576, 369611000, 22287254, 114801494, 137634774, 653634065, 498179644, 268288701, 595607117, 330426919, 809754252, 802750180, 999882259, 755989653, 661772537, 444492213, 543579390, 905529044, 912136076, 673376691, 727233973, 125844358, 254887923, 228029816, 200884561, 780767002, 530716216, 171239914, 129772458, 315561467, 183521551, 946656463, 728788777, 921436729, 92685250, 865205865, 90568284, 919535057, 756682557, 241027247, 496123527, 986686686, 622353091, 816531309, 641788641, 113863053, 824067199, 175917024, 945518523, 378763368, 765437765, 566214200, 905111981, 336065633, 964896530, 229729320, 264724499, 919807349, 402990775, 862894669, 328144965, 293226084, 753516422, 975263547, 436250986, 754949620, 235599301, 76416058, 162755405, 36460248, 327077211, 886401182, 76319599, 722675368, 15723177, 682007307, 103167861, 562479365, 226743732, 28672937, 592801503, 172154553, 906183274, 985646043, 100560061, 621730335, 336286168, 415185279, 646825602, 516497177, 961205757, 649709727, 276291185, 563866038, 251934214, 404407379, 201707822, 315134183, 249898647, 845458949, 249808810, 820350289, 958046407, 808483550, 834601705, 960860877, 362231871, 729135286, 56050104, 916397243, 43502541, 742074780, 468050630, 983192592, 521388556, 521705118, 977907340, 418205653, 311325120, 553621935, 282316769, 391798058, 822361849, 252740974, 461523576, 770079300, 574087539, 123519746, 56744740, 632493722, 872560557, 899196234, 573997690, 66892146, 634157034, 848795551, 576204029, 934928695, 420734646, 786245857, 858900441, 194159381, 49599675, 645151056, 13834884, 746095992, 251297453, 137815873, 276825305, 83478808, 415452751, 627491810, 500696707, 215421927, 569683404, 7315607, 476677816, 553279272, 870905158, 656079766, 715956957, 470604357, 633304086, 447442103, 389665651, 883434394, 369486533, 383585845, 425063276, 656829679, 3149353, 611379346, 665538510, 167898998, 514367815, 894402293, 961329947, 762491758, 544600686, 580185081, 698926463, 606059538, 50592532, 502797252, 835755700, 691872830, 225546165, 720900551, 441681401, 833351745, 416569219, 439665373, 380232098, 55905686, 105478414, 199512684, 920533599, 369081545, 398399604, 44258562, 870462807, 858711053, 807030750, 597624967, 271641954, 841324805, 170768472, 848099668, 58233066, 522308922, 18490830, 930659160, 275917698, 921881562, 917305946, 855442377, 995728982, 700743290, 640129649, 796806617, 852901832, 548436388, 895590995, 73436958, 248048912, 729633410, 788092345, 976173698, 69365275, 750000106, 231112576, 310621448, 872577522, 839515904, 766400388, 462375429, 891578682, 692313596, 378147677, 340085948, 980709520, 750038540, 223682458, 264145409, 977324712, 424408416, 83305555, 884412584, 347202360, 564886574, 544349421, 567850346, 459022203, 780707538, 132472997, 651729288, 468942219, 481477233, 312762752, 708203638, 469477097, 264716281, 323856517, 283556647, 345747631, 325638637, 627490152, 652058578, 194437580, 228350139, 242177010, 682792262, 843197226, 532684615, 398492937, 582811868, 960024370, 3682272, 541541574, 173609987, 921728544, 692554983, 389344105, 777700577, 730547442, 826787612, 962814732, 438300416, 529579866, 594688593, 156694815, 627686985, 855031500, 31644694, 96488222, 134082955, 707709593, 607750350, 22689561, 879135776, 679133237, 926060167, 31382625, 736840376, 985484680, 951369344, 392009873, 126616281, 949945405, 93081454, 12666341, 136082075, 123809054, 922038926, 748581935, 830478038, 405831082, 521778741, 175857563, 577794762, 721455112, 383875519, 756280643, 408204345, 737629043, 749558627, 602290816, 641060327, 75532022, 708860993, 778578947, 153269542, 776843632, 496038364, 922902241, 725186811, 344339446, 62375307, 179087082, 536565888, 355473280, 92670008, 898950539, 225375705, 849257077, 846738997, 229355181, 28959720, 700976574, 602412523, 69822858, 720127373, 463584384, 205872666, 326555065, 659948270, 75384339, 23512863, 488383871, 834840985, 768666741, 81639340, 944222223, 977470708, 700833526, 200785773, 969731118, 271208636, 173033101, 758481502, 656826263, 909943206, 55876508, 561507577, 965685084, 311676854, 559979159, 774768246, 43887246, 806268245, 853642353, 987938803, 261981652, 250941057, 583312314, 538444293, 13555052, 160655765, 343808538, 820829676, 490615677, 455879672, 992125904, 604424219, 411715709, 191984023, 810807789, 189458942, 397451293, 215015058, 900632027, 939317370, 32131876, 371816645, 583892115, 500603678, 352207975, 327700254, 129051291, 121558358, 702080593, 30960284, 304001634, 453883094, 263876970, 126125236, 350502928, 337770019, 201403672, 103397166, 55793389, 610930754, 683959231, 155749740, 810719793, 695139445, 229632327, 453902410, 231059761, 277856389, 136217145, 595790665, 830252833, 166478312, 707203500, 673583692, 200683664, 940157830, 551650320, 224316319, 550408584, 562947013, 67402908, 883226423, 486367892, 917452981, 467827665, 71729281, 700758438, 366271748, 471514062, 803372351, 196582062, 148624990, 122685977, 111083022, 837318354, 357710970, 584286555, 890564308, 690421114, 39146276, 708554139, 576243697, 594285058, 859057347, 400611209, 582910284, 147284829, 40394114, 805970330, 756863230, 325865573, 100888483, 356923159, 88377138, 636390268, 523434050, 368152087, 624620911, 579431353, 42497043, 969820791, 299374822, 308159813, 702175154, 939335999, 456804068, 761602804, 943952152, 997960914, 479018906, 860745522, 554536931, 149810208, 495559878, 857893405, 25721712, 534519131, 544308690, 32299516, 188350752, 972140613, 655297387, 257296921, 917764592, 335672895, 280112458, 325358770, 607886021, 293396687, 188670220, 835349532, 890719274, 184008301, 707433688, 38456533, 887664779, 756760519, 882256116, 978353484, 264497750, 152421396, 521376097, 803685029, 597054891, 802781125, 396403851, 504697923, 91482447, 268405498, 549995692, 551306558, 358047053, 723338970, 515716889, 398558332, 244403812, 463457169, 123666112, 505452231, 855514358, 901432864, 341412349, 14461591, 758180969, 966753962, 647028359, 808997039, 938766646, 487492906, 516654777, 72680100, 111521284, 52485651, 12415555, 760356278, 425994613, 667255866, 690981038, 790293942, 834770437, 649385860, 416399555, 871392417, 247490400, 435762999, 328613005, 184355384, 253426420, 391886819, 523644636, 297265913, 438550475, 418261452, 532418530, 857765117, 585071133, 919004433, 358601121, 476249662, 699880980, 655916721, 468653762, 387409869, 920452553, 921279852, 260019161, 113284527, 871709053, 958114481, 501500363, 440003328, 513405792, 95510357, 786732787, 709988093, 321287583, 887042288, 44150923, 779942807, 54525564, 792932326, 344066674, 476623299, 551038752, 143835553, 199052933, 819277571, 349489093, 263085058, 35096467, 705374463, 590501466, 448354092, 635017452, 587910394, 500844935, 400636400, 585228434, 192754503, 794340948, 453773147, 187174836, 643711159, 319272695, 908856553, 192860718, 401898617, 919924294, 64667169, 139515306, 340432089, 969703697, 874792247, 434625948, 221246614, 748172402, 630583578, 614532122, 794315068, 706727110, 910548502, 336155991, 750454626, 402837668, 12697623, 329681015, 273807737, 502759985, 425288080, 902748163, 485834251, 620534362, 863518169, 835003766, 284927718, 338536546, 20561896, 222795812, 245147887, 880655975, 174868338, 416200790, 626684292, 247184873, 857121725, 973289228, 253320204, 201557228, 822321103, 197458093, 14844656, 509796552, 936617439, 592838062, 906237408, 261344098, 531646160, 303351859, 785849058, 860382814, 554082673, 949009612, 126467059, 810482477, 663764488, 571523311, 795694619, 782326409, 104361127, 272416162, 213123402, 702204906, 624352306, 354169893, 787576070, 626113079, 405737501, 644873493, 272345896, 543712582, 596540508, 168217505, 272709232, 330573796, 203685204, 302278414, 738187848, 425899921, 684264826, 316570898, 444051648, 692090960, 855758863, 995080675, 568771600, 823156484, 66740492, 481695330, 51974606, 701690716, 474102222, 475785291, 769990123, 661160432, 595256715, 574812299, 654440248, 98803644, 928201015, 960328389, 684898983, 315013302, 139869957, 24915240, 3327391, 504233458, 719864300, 681960816, 573612168, 606992275, 533432116, 295670418, 945518849, 105651347, 38904965, 886932361, 603389563, 242067801, 35808766, 860453644, 934194387, 640536761, 11289302, 265442880, 17875945, 749340994, 742185679, 438688316, 798298457, 249657105, 848926801, 329381330, 764840396, 593585385, 944333965, 412487490, 153144171, 782783295, 798540285, 285437524, 673833636, 180518430, 316423825, 677448673, 573867014, 669055326, 600682247, 864390637, 754626024, 664383295, 944319188, 950222490, 640079717, 722034505, 245102806, 370341, 614727322, 638716774, 975417037, 794012652, 187917292, 270626440, 804279034, 437630378, 514739973, 593759895, 733882943, 359213002, 798719033, 652726125, 298339457, 659843174, 460104375, 381089534, 650612100, 185717258, 428424159, 95942198, 235157387, 945979648, 405497162, 156669756, 556813634, 766100816, 445630904, 336472665, 30361939, 621154778, 932609491, 46497215, 216071175, 14083277, 89555529, 729334321, 484494032, 940734432, 781643290, 763625848, 387054702, 920403942, 675539297, 174425054, 725116467, 927926536, 480359565, 86840971, 614263012, 307820388, 923811961, 556143527, 162115507, 448855786, 646450586, 443432899, 632091540, 419008352, 466221681, 735492634, 960692825, 382541874, 592446403, 368482601, 491676940, 982953211, 366144489, 345258442, 963405787, 515688992, 860675361, 143401098, 94082829, 707206925, 151207314, 781234212, 222700841, 523779611, 151216736, 999524801, 301081266, 75155613, 692790736, 708029103, 111119756, 449069957, 465097396, 620487442, 127143948, 261124522, 261506679, 303449270, 549125968, 770971328, 511720863, 453047503, 725735678, 767628809, 105599169, 299842834, 214008243, 359908293, 162631409, 10365878, 915129137, 901414871, 512015043, 139292103, 738126349, 659331747, 645832921, 856312599, 675626293, 317600409, 220197527, 656543482, 687296054, 185464825, 317914996, 6786333, 815093757, 556744207, 616176295, 778371215, 285773040, 322746971, 657830045, 751379694, 243084447, 452185644, 828335303, 908896480, 989115992, 263856708, 118931166, 887386521, 216721561, 499166340, 417858314, 579208406, 50902572, 965903349, 882045655, 599817827, 109603552, 766176808, 593687305, 32237903, 443799839, 375924343, 253007611, 822371475, 176051481, 236858610, 324188904, 238383252, 982724940, 280550866, 465577771, 676680134, 105197358, 378651515, 380094159, 77092831, 580002729, 672434637, 713354491, 458945257, 286382361, 808766109, 453641881, 235715524, 81306744, 329381221, 860538083, 929289283, 295237387, 536837977, 590161724, 650000477, 950168814, 226583369, 432854682, 785626293, 507697490, 93740552, 64380398, 686537629, 139958898, 591427240, 869325601, 232247266, 680534858, 715044575, 207612560, 707820890, 265557402, 23597233, 333420463, 104855902, 268362180, 997183233, 861625804, 489000164, 129006841, 671428203, 392068678, 920890315, 384091965, 482159835, 60560458, 23331273, 922416045, 958922310, 696965753, 39029891, 585043915, 503178364, 408319234, 99895195, 776333395, 343207165, 965161290, 313428793, 392884010, 794715218, 828029117, 988037434, 722617191, 178831418, 590307004, 768216725, 956036514, 497056124, 301056276, 550706736, 181028595, 989654714, 323579353, 62843817, 101353434, 485720308, 229437677, 844110627, 896490978, 588493838, 745795723, 360503327, 770966554, 20853207, 154898569, 909746246, 972072696, 828680471, 358192988, 52940671, 479522307, 375247654, 373895078, 145385344, 521079278, 994480575, 395003018, 527329108, 181736575, 235737143, 852098233, 862066536, 586835017, 852518001, 880317169, 564304326, 827997520, 120717853, 535836825, 129227870, 255580066, 638769489, 928231225, 809510793, 157254495, 584274839, 588192060, 965473119, 168133090, 225625917, 650420338, 795559173, 142888362, 363973227, 635562520, 504587634, 314477625, 585578446, 552135074, 476298191, 518789654, 294229216, 752188167, 768694030, 532171191, 769907525, 97819289, 634700441, 593080915, 726308460, 715340765, 488032457, 377980928, 180098346, 57624264, 94704566, 347567153, 285369683, 539644556, 391756821, 839765483, 490497563, 548928943, 599003444, 427583169, 574957892, 188450771, 626950102, 466792327, 798362000, 664567071, 460952522, 711663779, 731800991, 237964336, 176285041, 416369888, 4811902, 371781935, 342373965, 526734537, 182525197, 502545048, 603679606, 88271057, 721554294, 325714682, 487609392, 652514006, 738087946, 868034025, 42095323, 523696837, 819998166, 326586990, 887181837, 282184313, 555043394, 574333765, 985659103, 75896914, 272043476, 578467640, 186783044, 667756373, 303681052, 750168624, 570328983, 219074870, 290923010, 326701642, 427682597, 114765056, 293460151, 260504630, 677079279, 136799069, 983649762, 323244950, 650334982, 538198163, 297197099, 79550470, 324411624, 104250671, 444079167, 274272984, 452337385, 884351633, 276438210, 648970476, 710233351, 887946651, 617260135, 432707, 415558277, 549334312, 218592370, 451701990, 112894421, 768432515, 743031143, 816216242, 20441344, 335324430, 416168274, 396355587, 639550204, 156213013, 645077861, 861998967, 357809780, 19732213, 189312310, 877973659, 424517645, 528848367, 20491617, 90356921, 911308032, 167638020, 471744547, 141427407, 966500949, 451357804, 40928490, 283877779, 843801933, 999146454, 755296802, 765770991, 270435468, 215900742, 516595976, 307149994, 164694938, 415673216, 823965642, 328939624, 456184575, 241794084, 997688795, 239228966, 757076469, 446792919, 697030618, 860717887, 142353364, 345253514, 387137624, 333367922, 382343136, 353897647, 164047905, 151839930, 458558305, 110736036, 716061851, 721211157, 345059634, 982146594, 345627108, 105917876, 602898134, 47064089, 285569692, 569800832, 179221649, 61388578, 501513428, 23575322, 795221002, 61897167, 144053055, 953331385, 44186969, 317469024, 432661467, 695896867, 208608683, 876360916, 550493793, 558870302, 359003314, 942326196, 20753216, 786958411, 432835606, 316645705, 473169149, 557990056, 259878585, 893245072, 782002623, 205011263, 443161086, 229300296, 763698940, 335210098, 987528918, 488116168, 72866843, 257486222, 857581597, 227969005, 543593435, 276114744, 463412339, 317985327, 632053938, 54683420, 836313861, 245871923, 951602923, 34506969, 617218091, 797084729, 210052371, 950493172, 203852702, 295208819, 397310424, 143770456, 525612819, 764982533, 746814756, 421536763, 970933121, 188574366, 317733612, 613854847, 884990256, 112707046, 526901204, 20174694, 577531537, 499367341, 767898116, 369468643, 813127810, 614179515, 207270520, 614991490, 718624615, 708358199, 533269592, 25596282, 926864664, 50202150, 900377730, 600655245, 856198576, 521745716, 113175124, 76879721, 703080383, 750792369, 54354237, 158229527, 826972470, 86620541, 231512828, 35719184, 285848032, 381313012, 430182972, 397784744, 290285431, 147930931, 857884080, 749614548, 230805231, 750500414, 741368356, 509127710, 250449003, 652843003, 779704416, 987207096, 835158721, 416430411, 855312022, 956819922, 715917123, 72204936, 942920788, 41314005, 40165625, 301873442, 926760794, 804129737, 912538096, 663905383, 893675117, 66353581, 533073677, 786598178, 801382681, 256169131, 608365922, 732050880, 971751166, 496086158, 354347180, 396406029, 911490803, 981205104, 783764430, 185643897, 753816186, 414055342, 999332386, 200324334, 91175970, 597603860, 375098602, 425059099, 127037801, 305479748, 961322178, 463733629, 851381816, 766286128, 338071229, 126546228, 536764684, 779891875, 965149261, 349680873, 805293306, 981590963, 133617221, 145711304, 717611295, 577315218, 580088322, 642507661, 851354295, 351790329, 845295499, 520672491, 958979377, 883011649, 451893744, 584530711, 608298560, 702933921, 35735590, 380048048, 706839851, 916113857, 2995882, 928003108, 707614588, 562634020, 638468944, 780323649, 229686680, 191318790, 262365354, 152824907, 241197789, 324015943, 823543821, 903099581, 749478660, 308860658, 282157358, 208500181, 319866734, 633746609, 688998323, 552898151, 186647199, 879745896, 615983645, 900124210, 522123035, 192644410, 292854209, 371031081, 197963206, 336735156, 27850315, 436926620, 393476078, 838932336, 163174924, 981015940, 222442984, 673218469, 828681798, 425931436, 10753166, 513730984, 107906718, 189627153, 109807840, 689069877, 237043119, 140164364, 454697480, 531552405, 55344622, 948921201, 483579204, 160804612, 678109401, 741788538, 910841448, 747481925, 770655095, 970891811, 380472818, 708103094, 734752022, 230730591, 357956153, 827370516, 197639843, 756176534, 244490907, 380944695, 107937052, 958028095, 574839888, 949216965, 612005329, 29486519, 560410136, 742753883, 557902670, 33855007, 415021238, 331984733, 914255889, 513621284, 486871405, 922836059, 736416147, 244067830, 865196088, 352616712, 949655815, 406761668, 637790167, 571195043, 228352096, 669838374, 979087355, 309631908, 541579609, 993913770, 835667557, 869548927, 852036816, 756801256, 769513486, 385018677, 129503778, 410307686, 687614385, 509248084, 833126123, 947140672, 441347616, 291781189, 803879176, 508550394, 639705140, 654598553, 125453077, 310997921, 380987503, 919756559, 359874798, 840038576, 738898693, 920180799, 755772666, 978192386, 124633010, 833818411, 722110167, 370398563, 189654626, 449567764, 605628064, 144970051, 533896610, 593871553, 758264410, 891683111, 983992117, 506511711, 791256241, 309636705, 756208008, 411505732, 226214474, 936569746, 518007580, 377805058, 21109514, 234241084, 477312461, 982205995, 827728157, 427884633, 379028102, 7089713, 546055320, 896239475, 130767171, 9398098, 276214540, 4372550, 266345018, 756210376, 273133719, 895728944, 364322660, 380218439, 196739442, 975511089, 472386146, 234987013, 422428022, 557131588, 986434205, 150839948, 379423659, 941195030, 467562984, 219281908, 999309996, 869469723, 358049298, 75830726, 412495991, 471432900, 824912183, 337559659, 180954684, 32935218, 906900381, 87223350, 982802948, 317469512, 614766643, 972943366, 902675390, 470632698, 399613386, 648646160, 132879332, 76606226, 386686828, 237420607, 65634409, 672647678, 357072612, 47302329, 803432752, 503881102, 721070545, 246528412, 771286641, 556142873, 250631187, 276979004, 72662868, 229450146, 725817839, 162811472, 792776833, 136537516, 541111601, 815531206, 130862232, 61522483, 506300652, 277017611, 133392045, 549045298, 941839351, 111101917, 509278170, 594921731, 120013364, 916980974, 590742366, 706185040, 726829942, 430625870, 67311630, 622860316, 977525558, 778843887, 88878046, 387939575, 295376451, 960612686, 687848413, 159662348, 368350085, 883320801, 590817381, 638861467, 983286265, 868019301, 305567690, 65837794, 426034142, 170605912, 487638198, 224759256, 392365940, 442672107, 925910478, 55202163, 658157668, 170517056, 572739976, 758493152, 669634321, 952620677, 699409230, 682528442, 684809153, 560309969, 711380956, 921208330, 470088796, 786870393, 374992763, 790994853, 51196335, 915037065, 621284154, 871443864, 582364150, 659193104, 937861885, 996421422, 186447754, 434579767, 398245414, 49787170, 618771511, 506180380, 973858954, 433993854, 610500047, 430783206, 654070170, 460186941, 89596185, 740320376, 632604130, 416051297, 898126603, 651197279, 306787561, 605895844, 879461207, 115406586, 841746311, 52036494, 816231293, 950827591, 976704133, 624314954, 632623617, 644836317, 420591215, 484802984, 713781307, 753410294, 201947059, 149834152, 413683080, 467308961, 484902564, 669942970, 588533537, 902213154, 912254243, 948462401, 887096076, 995951367, 691942781, 758426458, 282207013, 294982209, 283621065, 900151617, 525427826, 298683475, 139194442, 279677546, 735804134, 745233451, 526597005, 31571598, 124842070, 257372617, 19787018, 144650860, 9498228, 119756978, 677872555, 97516314, 116961418, 53965360, 555984527, 633952548, 39518381, 10862546, 689130289, 592701477, 365465448, 261712076, 343016200, 491821624, 10614421, 336974512, 938918388, 218232405, 994440509, 154633452, 65442284, 444539728, 231691712, 346912799, 318464624, 717379954, 939106763, 330874142, 375377299, 622237746, 533271132, 918010420, 848192107, 673641086, 843620542, 125037337, 139669001, 907850210, 818468422, 880291735, 890276985, 70686367, 654841458, 911496167, 592155098, 264658713, 462637969, 102785578, 973466325, 766413303, 906131303, 395762989, 356770764, 485388122, 757605420, 200998747, 61749296, 329648083, 569921571, 792214096, 31767319, 516098162, 400241649, 356962887, 496741690, 788789882, 632169825, 351404910, 323302834, 50988672, 638040096, 509948228, 789555593, 164424725, 275746535, 380366308, 895227591, 681211108, 306210514, 342408271, 273747133, 664861659, 609081285, 333953396, 221249826, 923209879, 681808320, 279771049, 643464188, 518370665, 99108270, 73615477, 551676282, 671149026, 905951958, 335826908, 86525995, 25344208, 679451044, 862999747, 384392717, 731765786, 512568277, 557720614, 33478673, 167886131, 617498305, 965232735, 976523688, 848327979, 101845194, 121418150, 124940735, 334205371, 890511073, 657968076, 347890685, 915394179, 127844287, 983301781, 714634393, 239798050, 185393326, 75877105, 325557316, 629560044, 289952016, 929915911, 285117439, 33711837, 505894315, 984283206, 187186441, 537956696, 674226315, 52188017, 655620300, 866499822, 233603473, 191077678, 812242720, 502624167, 729351922, 562376952, 52406675, 170560507, 783598862, 307964838, 129552262, 494218743, 301706072, 919583913, 385237560, 468598701, 449956929, 136523748, 21669073, 184180012, 125712901, 606448000, 220352341, 141147447, 717248571, 760137717, 200750523, 771341040, 767836068, 72982472, 585032941, 212465788, 588356602, 639435325, 117948839, 506963762, 258660274, 161448830, 344125197, 697001200, 178568955, 488300467, 908983863, 425969393, 989187781, 357316644, 748972060, 983771976, 251078721, 539879040, 80573018, 412992147, 112213226, 801292119, 62454405, 49800964, 20766066, 605237874, 432807539, 348929471, 607016881, 913868058, 771484261, 165089478, 791827224, 616916364, 691117776, 360041028, 861541741, 953180695, 98874953, 311854813, 87292361, 906717094, 333515024, 159220399, 762492519, 76346981, 287074530, 871520009, 938235174, 932400676, 505304517, 377025689, 31245674, 320422759, 507239784, 33739167, 231172750, 44843432, 669873635, 389369295, 796892858, 87035567, 834905162, 107205219, 243091404, 198874246, 751051736, 725964943, 582302157, 342483472, 984778762, 657645058, 505444911, 972467433, 58726968, 928800042, 49107721, 448185713, 548686008, 35224026, 947247875, 97737428, 783044116, 144511943, 800711874, 283467033, 858717144, 794612661, 739761623, 607953813, 428757734, 899075216, 839118224, 288211373, 901078791, 749824013, 621793571, 937019300, 404148801, 582575386, 617126581, 671998963, 442807944, 86141702, 417957743, 442242536, 995714005, 991807270, 840945109, 278758115, 265930048, 35195111, 612548250, 724127720, 372055509, 328817719, 269320951, 477918782, 940255201, 660424529, 272479241, 949914855, 828319726, 90656885, 166206766, 295914138, 381714305, 727234267, 747820219, 324208858, 210810504, 510833921, 39168019, 486894459, 438960169, 6043567, 60834360, 957665371, 937949768, 680578039, 874334167, 485556726, 876390123, 345620401, 724001028, 731248734, 847999848, 263613528, 877279388, 689245934, 192616418, 676546207, 271920507, 325264364, 150264846, 132588342, 967195595, 254321700, 727209483, 916086425, 897288698, 858363012, 358784708, 410441185, 374913035, 322194900, 267677220, 256869087, 629845812, 227735982, 726959577, 762328558, 604965181, 963696048, 119339068, 894428054, 886174579, 77365310, 218861570, 44695210, 510560066, 637811002, 680279967, 478710279, 36620338, 798399069, 783569797, 222176580, 206385717, 345974343, 434018061, 831140699, 12591537, 277312379, 567929026, 724344501, 744532518, 627316148, 537037140, 455281232, 967552820, 935641412, 108661016, 225168713, 357828473, 525943886, 577213576, 240551993, 307586548, 463742043, 825617220, 235700626, 778003789, 577421288, 463253859, 434083927, 869120427, 824512860, 980598123, 602117032, 716448768, 527472027, 995701770, 269931932, 813325890, 415801387, 712591304, 95972444, 557127431, 749463129, 267461509, 361964268, 927595464, 172453196, 657609904, 893905759, 987744562, 991281514, 243890980, 196289223, 131154991, 855920234, 59670267, 584377875, 403583607, 824388852, 341067071, 319942097, 168013782, 22617933, 226772846, 383564235, 310407318, 25687593, 915476143, 101235082, 527484763, 507151178, 723353343, 125265866, 372594950, 357035462, 24910223, 276891579, 346959973, 810304388, 912148206, 876694174, 806308933, 726865950, 281246458, 719426441, 428330680, 483080191, 694571071, 804990146, 433479760, 400171068, 112639525, 58541536, 431301202, 974268235, 261263688, 416940081, 970719795, 305320288, 809096027, 242230863, 509688520, 44562697, 921823201, 197311048, 869470493, 563743266, 23575482, 641954863, 523968708, 447898244, 54874030, 982672674, 290017990, 310409058, 496330559, 188140356, 114533835, 652688692, 867515487, 165824271, 56235083, 664013452, 873609810, 370415077, 508278825, 42409370, 927684900, 963854096, 254963920, 429985736, 793130842, 166276441, 414177709, 615600490, 688529898, 942692061, 322366815, 436234898, 473724141, 362668769, 347368654, 632370485, 992198558, 183958496, 681129945, 678310818, 87345402, 722220774, 511000100, 93691228, 969187452, 466341116, 959739199, 919696834, 46016233, 972132432, 843965627, 854686336, 570574575, 476653003, 637190730, 9802935, 391078599, 406945821, 599819755, 444862305, 837374881, 105353080, 847419213, 104069217, 825475032, 897002037, 218085293, 713191592, 261400185, 88612834, 340154489, 38404672, 340802290, 662221692, 215123316, 386138781, 158171976, 205915399, 44528806, 860436107, 464676416, 441192090, 519880977, 773388399, 267255666, 198177585, 862680761, 898922425, 211268062, 827987056, 646030582, 5202313, 455796465, 382565924, 494751524, 15043948, 265095310, 737400033, 702177600, 247872402, 540819600, 853853314, 269119425, 559328773, 104033327, 403593589, 6276946, 837796314, 456176212, 832382157, 580954821, 618092527, 265422825, 425603157, 904858436, 666441218, 405708993, 424999175, 16320312, 227803425, 434329047, 232236419, 891832693, 155350803, 83798073, 320106016, 152817708, 291957507, 477600017, 266426733, 200446453, 340583347, 129482871, 908427074, 121533534, 809291017, 140321173, 857630771, 596965956, 996902531, 991092450, 475951458, 484447835, 356719067, 425373756, 985327648, 264094432, 316323936, 563233578, 881529553, 525384343, 975823266, 260024582, 914190868, 632668231, 354618179, 122528312, 819689964, 16070054, 341292636, 549977880, 764951302, 791759663, 74585299, 318743875, 737470236, 870054828, 611031071, 495249183, 143029515, 406280608, 220527538, 496282164, 163920873, 97482156, 393432568, 565118769, 935705097, 481748975, 484702563, 298191781, 745321522, 201785271, 519598368, 542315458, 231105058, 721696943, 131435917, 788514490, 931760806, 998871696, 377407005, 923308926, 754862951, 517375695, 37531454, 155765150, 157919682, 726006586, 770858071, 357639394, 136586633, 968633647, 69472018, 263856452, 766468715, 545906460, 888131232, 957881409, 751188432, 237611461, 949005476, 385246112, 408560238, 212836220, 658397537, 824178548, 778368842, 483046123, 919707691, 138236182, 379853246, 157354142, 496676622, 928052076, 167156822, 916042570, 384843901, 303118094, 280164845, 177884466, 540407171, 860736697, 315263684, 159844051, 684202291, 368189445, 981652770, 118490903, 848190025, 33509730, 147034517, 404723935, 982977794, 6575537, 236603211, 274482246, 327487696, 299874105, 684480745, 501836217, 209088416, 112679239, 810706360, 800279930, 638525669, 123241835, 873181044, 574232237, 367513164, 978878334, 231264170, 978310186, 247945857, 995680594, 279271030, 761599505, 542360300, 485713521, 716166265, 482428663, 352825918, 616555623, 316326878, 154685228, 347123702, 983595415, 347631623, 402040455, 511724393, 841313344, 746179042, 47384908, 850046291, 431752752, 508900948, 310548294, 827556610, 841503591, 138243340, 109504356, 756507993, 143149478, 289829822, 743824066, 773141033, 379045786, 399699318, 174050426, 659023556, 354802023, 400142258, 870387367, 558484895, 793594152, 289289173, 716860287, 99287050, 566104760, 621050858, 968737677, 9286678, 194569962, 853200669, 239176733, 836863664, 298908844, 687556763, 52103658, 456029821, 992556450, 881165383, 187216789, 596743483, 970208628, 632550627, 300335108, 574054515, 718458455, 613016418, 366654491, 603979794, 823490250, 521767945, 788319387, 124023144, 932100120, 997303344, 718712824, 131651236, 63477754, 824862235, 548185104, 563258383, 386748278, 426333617, 465579148, 135922212, 184902459, 503847286, 248423739, 629386095, 247627229, 851155612, 3213692, 276397511, 923584945, 109721175, 858356278, 857985155, 222413139, 118239718, 377279864, 458147138, 707568925, 250806443, 431788223, 268782812, 12454790, 106388022, 165729344, 359657097, 91462362, 58059025, 371561980, 274539839, 973251987, 469848676, 909459248, 406464900, 449617826, 601378772, 293757865, 809420996, 322508190, 455116150, 628058320, 773681949, 864176211, 745049378, 31913114, 285242219, 100631903, 670807571, 633149764, 149038374, 67697022, 957884170, 885019927, 885353939, 481266110, 487154812, 69467403, 769200162, 92927442, 947966248, 869466520, 642673585, 693146968, 736052730, 36122708, 222404234, 854341588, 34590618, 242224037, 744575842, 773108902, 683638165, 198411035, 835119965, 149171791, 97307964, 99636212, 168338884, 815474129, 758000718, 8401984, 554684786, 629175248, 668563821, 514909009, 120465656, 43912183, 695941568, 901547397, 367343299, 515421631, 972961170, 861878893, 340034831, 165642857, 767469497, 883193352, 493539676, 369589477, 463709625, 305700411, 416223766, 435392017, 201494210, 737020501, 396217022, 165932836, 360372300, 530688241, 750351641, 71265309, 638241335, 725389754, 47964576, 176542909, 374952730, 904637825, 298243196, 806103369, 972469260, 635369482, 142914624, 564172056, 734815605, 346581310, 35691953, 353092445, 353898784, 23540850, 28718, 424798251, 958973541, 980886438, 775579219, 489498761, 385242608, 498326857, 959141090, 475967884, 716748966, 290005446, 295185096, 968875408, 890984899, 941802898, 717671621, 515582758, 745442814, 804950924, 652589608, 310576689, 950755742, 583534268, 109350503, 898010212, 399926441, 547435010, 570893268, 556810156, 524645391, 567097554, 784109423, 141206726, 561925838, 896751957, 725892804, 299950571, 144065904, 862603212, 625188461, 778991009, 969376031, 988824975, 911780770, 199181448, 887258140, 570855022, 795527087, 274788179, 568950446, 465475912, 537445235, 843159615, 769964194, 266551735, 79227977, 549590593, 123554100, 242949547, 646825547, 49339445, 411713125, 913863128, 755951191, 8218741, 698587729, 981992503, 459054941, 608496525, 739694388, 631934345, 202341792, 590939722, 270422032, 836204283, 669871216, 102769184, 157156748, 313858923, 480781579, 114187897, 645888225, 541102180, 789160594, 451471655, 4060879, 548127564, 720906368, 278171895, 872537673, 664972776, 468566971, 787417352, 199187615, 531143323, 450297193, 122006420, 471414576, 679701625, 492222692, 810419631, 897801394, 126852766, 607682448, 48468784, 911957931, 827603573, 242979621, 887344563, 332521506, 17850357, 586431462, 36688826, 409913292, 907216388, 982942912, 165544121, 803478317, 402858233, 641561103, 287246871, 708043565, 219032040, 276396115, 570130781, 333333520, 570183283, 835135129, 913099649, 696979695, 850264952, 447800758, 659787336, 818896009, 819509818, 545462610, 389746798, 501076962, 712257437, 766617878, 854967464, 408580069, 848458761, 703212719, 367405729, 165409075, 882898801, 576907222, 745172753, 536798735, 718844822, 584087000, 773491223, 336933552, 812810257, 944333585, 696583528, 954347361, 100707279, 44699249, 856659467, 918711568, 816570598, 261600758, 884399751, 331074471, 880098966, 917881173, 42872016, 136590917, 548449679, 217073024, 372825789, 23197147, 709364524, 970025986, 570421076, 222103953, 10784865, 657730144, 336789282, 578584206, 503703130, 889850857, 116102054, 95559709, 133695080, 802050293, 957969466, 795182850, 126474473, 435184832, 146285215, 985870390, 932616177, 856168231, 112721485, 67552184, 104846341, 19524885, 975681429, 259912916, 974067053, 281207654, 627189101, 536668229, 192480185, 439348407, 490192215, 264384099, 665617633, 947324199, 804165028, 357889219, 933864378, 473822830, 959641909, 887702478, 404843415, 743516297, 862255670, 806962546, 326186784, 275094596, 958981574, 184710520, 266678898, 720090435, 240245789, 221554559, 44648690, 57221537, 571386582, 145926347, 475665645, 217977202, 294434208, 1000556, 878690996, 982560600, 382658818, 821382914, 900321573, 893387899, 776554701, 852708386, 167738329, 345882832, 822660958, 8550088, 692558077, 535534860, 622468226, 739755324, 137002878, 501740752, 208149620, 409522998, 792416080, 125577315, 215217632, 171486326, 853305859, 680629663, 570048808, 107207630, 212546001, 259848439, 485622170, 66728976, 171267374, 747204922, 851980099, 412044440, 396600081, 871070501, 474463314, 308748402, 18852292, 270249962, 832594899, 540706493, 459428993, 538662586, 574172508, 248396029, 808184926, 760794306, 957640140, 586385949, 647217396, 180793807, 660186119, 616809724, 86567255, 805639306, 342464845, 460158168, 384090456, 459732530, 58726460, 151334945, 252806686, 9413074, 429028486, 381107239, 720193856, 571400168, 334919714, 936388409, 71642427, 499900881, 104455259, 772008100, 980935349, 379456361, 693744247, 132936197, 258534885, 578821958, 189137677, 640271217, 422990297, 832468299, 677399995, 754046702, 52025212, 819154278, 143218648, 212521900, 878508927, 784307357, 342346513, 350230339, 1541877, 510213478, 834153020, 41852535, 881033414, 215089344, 165562066, 34195428, 449294949, 748207596, 235702037, 221458330, 196602435, 303059289, 111330286, 63028018, 481599499, 364661949, 997115167, 476786255, 888020177, 40553467, 214767562, 787933337, 998443336, 596515537, 536117784, 348164066, 534003406, 554104286, 248552438, 287220012, 187214619, 808705393, 557394046, 505804040, 940929403, 358069326, 268782549, 223189889, 377094472, 813379186, 369199814, 923311866, 220643525, 61659886, 887356576, 360226010, 471354275, 219650345, 175854558, 214489840, 981526259, 731984674, 379741610, 35941470, 746069062, 414763430, 247656694, 710541619, 833196192, 801542093, 737128951, 3405972, 340043651, 35576087, 158606056, 274764426, 76602329, 503781531, 424150449, 81919257, 160709731, 330180283, 490554136, 64903404, 89330712, 677476146, 192651700, 198261297, 721037544, 237038674, 719368575, 138102910, 214098294, 141488700, 790841095, 958072328, 890756275, 759114536, 393202250, 310312265, 278559250, 494379670, 70653635, 987299098, 338210897, 54573434, 715029911, 108018437, 970971832, 979384006, 631161989, 335344023, 113926385, 927192405, 66118048, 984450482, 378541734, 402360132, 394647725, 574303488, 882832810, 169713763, 599444812, 527677230, 328829274, 862328498, 329891960, 757993183, 631187618, 826028845, 651152408, 293871820, 23820443, 844734576, 592040655, 907282711, 167084140, 985796347, 623908897, 195027418, 746944339, 176027694, 943902823, 633054325, 724825691, 514281387, 951814150, 39638840, 761365014, 286632256, 220532155, 436896180, 234859567, 157397662, 923431898, 701825971, 321163988, 297419174, 379156598, 602010204, 993075887, 357854539, 204332446, 767814778, 679746544, 369383406, 17004920, 852106715, 125603561, 146594146, 271078245, 878228830, 847932528, 231397658, 133265059, 788849456, 382209386, 388241140, 596187568, 370905840, 131578117, 985862068, 741365615, 433221929, 750815029, 533468383, 145067501, 779309059, 667900401, 851577210, 416940039, 992844517, 880933051, 177094443, 699248049, 573610680, 773395271, 666406173, 771406361, 688263526, 371832544, 932759653, 624326480, 708309925, 410528586, 10714641, 129479984, 639621718, 893425627, 3714651, 63010595, 120830609, 74589909, 137962743, 756894618, 719411601, 530606738, 974457984, 645448440, 490277050, 475048515, 343557346, 431136010, 503203796, 525492313, 550084382, 56946569, 312756056, 612573807, 516883431, 884704482, 34205611, 182589922, 169051347, 354267342, 990266902, 978451169, 84017101, 333021681, 26077586, 94782634, 832647603, 8593248, 368183402, 153034738, 255822434, 581063224, 923198485, 878629787, 823283739, 87557219, 834096950, 836092579, 232540856, 630783434, 192921569, 162416942, 607774404, 355020294, 65302049, 159116742, 490431921, 360123900, 851224969, 124513058, 376989026, 785086985, 527255559, 213468829, 732901285, 142582436, 381498496, 549213237, 625519157, 101833185, 851749836, 304273739, 927993567, 17415440, 369103004, 283915938, 327616221, 310751126, 294525860, 901698370, 986442782, 459024508, 684826556, 668241171, 615107324, 711518947, 475622480, 939409251, 556576397, 22941611, 952898471, 709191774, 890981381, 730932662, 128302101, 674219807, 434588322, 90988453, 298445808, 754573374, 752780501, 512784202, 222766658, 366330042, 101327584, 288399158, 315987315, 614860366, 781675333, 221351195, 317732963, 839526568, 7478759, 42433496, 784546372, 79851701, 745680229, 897733828, 661819230, 946734617, 442749894, 233708607, 139432000, 787671339, 171749968, 349294767, 57744762, 614542085, 275389466, 501905979, 387590557, 188458098, 304930418, 446497563, 243666958, 496937048, 494570841, 265147494, 883684813, 87291710, 668825958, 830191807, 478849539, 732748512, 775864361, 389129597, 411076348, 567517818, 461382583, 487216002, 154152343, 494430592, 145637982, 151861159, 894817857, 629596392, 884729850, 605261406, 373474851, 403906977, 93551635, 285534607, 898465285, 375819421, 918276349, 516993110, 23495003, 496147704, 969180966, 906340624, 786361214, 703466773, 794907939, 817172063, 860320689, 853181729, 540880371, 849708088, 686540052, 560239001, 44982166, 285555058, 954523382, 310176542, 453436456, 493666779, 107181628, 700689008, 106875519, 166644453, 89236258, 396109078, 404825345, 844059277, 667206210, 231257890, 990775321, 667173592, 361965547, 429819063, 850969303, 6773773, 186474188, 695957122, 807378882, 266942706, 175684766, 64941195, 123638451, 38472501, 99445075, 4490830, 791344751, 688029186, 235422816, 679246415, 976096826, 55358734, 820229065, 593675715, 71179407, 880620106, 632711220, 445437871, 118122175, 20713820, 679020939, 586778742, 452212170, 658780578, 965121495, 650781520, 234051892, 341459992, 554556507, 13199193, 318311096, 302644962, 283890783, 1228935, 157015633, 491578834, 259857393, 533330737, 265673477, 654572800, 742970685, 934430897, 703512306, 701322495, 254610808, 346732148, 332337796, 607301575, 409813286, 966944873, 542599361, 906779699, 811845131, 279776807, 599609316, 570259075, 681710559, 369479264, 774534558, 821126399, 833806206, 893653786, 761181029, 469905307, 385588411, 9356635, 341470629, 838924198, 750770396, 618843651, 97225757, 884096244, 556184919, 560389907, 574870566, 397142354, 960153864, 540551823, 123302825, 572356052, 256553420, 632306169, 127931026, 716941002, 347624921, 201623428, 370205530, 556424589, 953340340, 215943549, 768492924, 865569851, 531675643, 499923227, 929509759, 745147853, 509455022, 806130858, 627388795, 934509478, 330383349, 523241216, 795205541, 890066092, 292134984, 559662803, 143496690, 41426042, 845566055, 311044510, 979190646, 556116651, 763182676, 846470052, 523742680, 685991769, 342666102, 353862793, 310268389, 324704861, 248522546, 563237688, 624163467, 244658585, 710155394, 236825599, 44828619, 865010628, 211437817, 207849550, 801617176, 469600429, 100954313, 330455082, 74344335, 537619389, 62568311, 829975012, 119875899, 502813665, 54469436, 696833723, 184933527, 145931055, 785196795, 576560722, 207054704, 987118638, 918721571, 903284597, 635007684, 32376320, 158582284, 935431231, 740494774, 709921183, 125282021, 734469339, 502305550, 358619632, 588367885, 378999869, 229784330, 482908288, 200015583, 917495282, 927948162, 608034697, 808431135, 527077222, 162543765, 389950857, 245601267, 249715419, 693027971, 190580856, 529089171, 955684526, 30761537, 938337593, 788577458, 549209636, 827045404, 122308318, 620861323, 971676255, 416840020, 294457424, 524558544, 556815065, 630892050, 967268905, 646360522, 429093749, 273629798, 491769510, 776972562, 7734440, 487016701, 464277815, 610398444, 170422712, 229016657, 714740048, 969069237, 80291050, 417641256, 952187770, 749983779, 648689790, 971140131, 951554088, 110361135, 366812247, 670286064, 351934350, 610789935, 892359063, 659538584, 809272917, 656853450, 834218956, 318381406, 421005852, 413973609, 964864024, 916374071, 48815337, 956932078, 298839761, 35653598, 993186141, 487819763, 266278852, 792289374, 65889596, 534911118, 683820678, 310945474, 369513047, 816802574, 930482893, 282430064, 218572025, 673462611, 247612459, 684708154, 572468102, 78534906, 779316880, 507584866, 241685928, 164169297, 925984571, 174048503, 725036003, 63721295, 23128493, 632477591, 323650721, 695154822, 194815714, 933300586, 98743115, 596527852, 794127852, 174663265, 26675663, 577862324, 434246016, 475233835, 849652896, 337638356, 755871629, 378866778, 279433078, 458464603, 235726524, 689767644, 663552183, 479240095, 743699136, 1551776, 279898168, 501372710, 374933359, 826435099, 8175993, 890212870, 68744776, 973300857, 677629842, 88200270, 933487038, 762800394, 782106240, 151044457, 533720302, 799661973, 397849546, 88133299, 856166069, 590641145, 938138799, 552221599, 856165278, 106746042, 435431789, 887586851, 274130423, 301977160, 282110657, 422720366, 63100393, 836615808, 52153984, 683905059, 144404794, 331665548, 915011335, 105012790, 447454686, 357783838, 875737347, 853022616, 609779392, 954358568, 828758691, 919695041, 821980278, 719841089, 513058110, 500117508, 691134165, 111958252, 260657777, 47521105, 576190368, 11416701, 498700255, 525863304, 187271885, 695854420, 780001328, 474696969, 660336750, 976279, 936448695, 336923507, 995705773, 740731110, 91954536, 46524664, 547873000, 731668621, 574726627, 53508645, 580644244, 504400694, 355885033, 212200417, 292060053, 721009357, 604932419, 828091150, 442201412, 957751886, 456865160, 474264098, 942382573, 724048394, 567218207, 596139930, 967007667, 6976490, 481022909, 992658387, 744364349, 782509587, 154080186, 491415374, 211057430, 988623305, 150094915, 858625639, 553935388, 173781337, 758264515, 797758048, 847819239, 139204073, 84946734, 798288654, 183143418, 292591740, 634366539, 905776888, 567587532, 28774873, 861809891, 247948385, 209496849, 735476781, 919054970, 917666215, 384789988, 9405156, 310680777, 720327586, 472862776, 767167017, 747931361, 549003538, 631150854, 973701016, 180281488, 616568088, 90667890, 679572702, 559637559, 583057280, 398005624, 551840589, 356926652, 789186824, 405464848, 15855738, 516904191, 931856246, 138626346, 947532730, 160004293, 586485329, 337827731, 249529441, 274382660, 940941230, 374608875, 796114469, 109815469, 255424270, 209459078, 721260654, 804775505, 743419612, 940965880, 813683566, 785512948, 477500721, 443873003, 997970841, 547656156, 501144940, 44044120, 279860481, 354881895, 67974289, 469155118, 646752721, 112881596, 336464623, 914370859, 541329107, 452319818, 981186137, 76415342, 866394731, 647347225, 657613976, 770247281, 922442524, 523943271, 154817027, 829453276, 341631851, 608260265, 261958915, 884099235, 694750566, 399062646, 55218908, 474919318, 368407786, 612370865, 196261766, 562103499, 394263241, 136041586, 50700713, 104487259, 15643690, 243739335, 333577808, 864834510, 760649220, 782472408, 559317505, 578147399, 232975951, 949630153, 946609233, 239169302, 805474850, 756450437, 870746657, 53599790, 883074342, 978572656, 949544208, 810415210, 232493696, 287063042, 243810909, 560083151, 692496045, 774535598, 886547501, 594208752, 19574102, 387866859, 998638168, 444421985, 56718857, 201937506, 411609663, 431426699, 701971109, 588504082, 521227883, 288287516, 701295201, 739013258, 128260857, 157937036, 2010706, 204934616, 439544293, 897335874, 925992026, 614992827, 704147094, 31292326, 492336414, 496741569, 474654476, 673289472, 780264004, 554125649, 608139985, 910533551, 462689313, 427302618, 991952813, 597279719, 802119662, 680409240, 661521314, 355510685, 479405186, 169634660, 377796466, 681215581, 868204754, 701301770, 253489987, 103958717, 701991666, 470932786, 718332831, 533644680, 889126107, 118427686, 437674136, 560875488, 870552891, 681471823, 312454442, 983972702, 335926877, 709383622, 696312396, 830298633, 915267542, 865016947, 151504467, 767067373, 135607095, 854146658, 812297810, 234009625, 641652256, 33493370, 964453271, 680177852, 328632033, 597693601, 825374583, 129698432, 250016781, 173471724, 821215868, 220923948, 341339895, 614249027, 163370239, 865736103, 908205791, 689752686, 416535782, 283833081, 311280613, 816065217, 796022191, 8261439, 893252687, 156737660, 117972525, 616978539, 384275684, 610460554, 187400435, 987124637, 55644850, 699910867, 17798292, 799048448, 785729311, 195410061, 916944281, 394164138, 61242258, 136943995, 344282091, 528517552, 936372020, 907043818, 526152330, 889409042, 462583088, 196058575, 730454168, 627453206, 451806947, 217546901, 726916522, 706468262, 977833796, 403505682, 393180594, 409376252, 96619979, 646818252, 759042070, 440010399, 26308652, 411545709, 92522462, 63062851, 588991652, 605243743, 168193572, 457306881, 784347270, 467008195, 312875941, 464375563, 512129654, 811206820, 832124657, 801343610, 749240671, 833980918, 949514338, 888364692, 659916832, 319931532, 446011569, 128937992, 876449682, 537823053, 863707177, 778742945, 18306368, 350585057, 845788762, 306685906, 438218788, 462850061, 536750675, 665252813, 99691739, 776023518, 182801723, 342832160, 574007435, 671000306, 462024901, 795626555, 302240773, 769196176, 896328332, 94706012, 898460771, 181064708, 687646575, 152662523, 696499801, 40703024, 607033206, 164843429, 725958153, 774477278, 92262644, 781547125, 823444984, 743007169, 213759787, 280052686, 720085456, 209839653, 873121446, 422160085, 829344107, 838121484, 354665639, 107493385, 964756622, 535166902, 303477351, 211742814, 772749777, 698034051, 157071044, 804407641, 427675637, 785942803, 949415464, 154127114, 30098708, 749287282, 188353078, 898485691, 144634957, 692241844, 718007256, 516150208, 912727040, 571568107, 579986861, 246304731, 840055097, 650322180, 869430374, 455700030, 386299014, 899100048, 702791154, 859972151, 921975412, 766146299, 123679859, 234935742, 875254790, 77814264, 398949811, 907223173, 793925867, 756964770, 814758421, 938357067, 896338412, 178348049, 873969024, 994140536, 820357558, 240252064, 488306796, 590861819, 892445763, 178678957, 98483017, 925591378, 112531289, 51571533, 695073544, 891838944, 966463330, 787354041, 728225907, 43071244, 858465760, 130244035, 980887407, 379789115, 338919195, 195982898, 905236641, 689670931, 64769482, 232547789, 464460119, 987700239, 631841976, 84386232, 538496526, 389551239, 470484674, 460146738, 109407787, 151104974, 823283777, 764441227, 90920845, 46221725, 237076013, 351973006, 7903460, 987811492, 502815862, 663466929, 437757438, 930587838, 453307935, 558648753, 454087112, 352255142, 951963038, 975148548, 319965736, 442562334, 493703645, 831867658, 378346829, 504580909, 213407439, 767892112, 917536618, 626391451, 457874303, 807026671, 929000092, 983713274, 326151518, 143070111, 538243030, 533371242, 795133057, 558409093, 830612607, 369442831, 755017518, 833507695, 975248272, 250299487, 791211489, 140254936, 287005262, 848219658, 91274008, 626150658, 874929966, 962532441, 956002451, 406009986, 423813439, 81743332, 228094661, 423469579, 345001700, 70560160, 368426159, 768975562, 236393880, 348357000, 224701291, 545543681, 692955476, 460709, 742113784, 895559538, 164905151, 788033458, 302851936, 374069328, 481155426, 330495016, 41780555, 404184867, 972005894, 520087309, 997660400, 935571478, 604174982, 722295443, 483990398, 647866467, 950706706, 547307078, 567834046, 578884376, 499352220, 897515918, 973294927, 750905718, 113014535, 421666852, 73428360, 147020467, 427371985, 479871569, 209565897, 584103778, 737151119, 682485184, 353372796, 524977646, 377432209, 628509911, 274204113, 516880141, 896802397, 745978046, 613939662, 131948140, 151118714, 91677207, 308222504, 182951039, 243551083, 309993029, 175943503, 800754446, 671924585, 614107503, 975067455, 112524705, 665209749, 764174716, 720894773, 828701220, 262932296, 592111389, 716105955, 222843637, 774751547, 831119407, 657403416, 629690869, 279743355, 434102277, 198077782, 247588480, 504341100, 880650505, 943225266, 689938807, 821271575, 250564788, 845814816, 491971751, 72512596, 286749860, 415806025, 514721878, 114336826, 487835836, 469078553, 485444551, 369065415, 993424357, 435842106, 236429485, 695964642, 94793882, 46686284, 413864990, 230848657, 494851051, 493078759, 556685490, 968983290, 699597989, 586650677, 420506989, 183664468, 92383573, 143402097, 174364449, 63809687, 710431114, 608307860, 665338706, 552031992, 428357134, 700532311, 925087343, 432607249, 308410791, 873803508, 110742232, 211584121, 638091092, 149861068, 821773925, 360978187, 962903730, 210638870, 694405369, 129939290, 573431044, 967924742, 995542745, 6365403, 696370699, 767041697, 841764373, 428526787, 495694144, 21515924, 830153345, 700372964, 747994226, 632241784, 638927930, 450864013, 522836496, 300412698, 850360354, 471572092, 11259953, 21908912, 1313369, 237207033, 699301647, 823399357, 717143708, 889946592, 572492446, 198217297, 244845101, 256429795, 94095038, 704341354, 165614294, 141063919, 546618388, 831246815, 170172517, 116820845, 947685984, 374661840, 209882153, 974718059, 911350875, 725704363, 432492916, 139114436, 335170019, 302505017, 829090549, 227548976, 247429891, 107271139, 880901941, 228810456, 418389409, 797348677, 797109494, 165607959, 557019439, 25536870, 33392691, 227340845, 286120848, 301484778, 325885666, 698958846, 451238547, 273868253, 955387944, 429334559, 209893223, 182490461, 906866272, 987718328, 8231629, 881799857, 59884538, 661231067, 997338626, 730195496, 377155730, 849223164, 221132793, 795191699, 267049092, 419669233, 704585374, 468550177, 670580605, 716132547, 193661728, 317210060, 218821517, 110844683, 265758222, 118913563, 933255475, 744647765, 911877215, 749917316, 941146550, 660297618, 721068745, 620503634, 415609664, 289644162, 678055198, 880252821, 44055116, 459515403, 233039203, 482160961, 200314359, 196507663, 187878148, 226564697, 492252364, 633458514, 940530100, 136881998, 590143999, 263908731, 383292279, 199931650, 643888338, 438678960, 452620567, 73270510, 386136594, 172261329, 713051932, 437151896, 44322318, 266597318, 998283624, 61955781, 826463668, 692682752, 522518368, 605472634, 972690868, 854495675, 447488749, 450910193, 469125622, 635138902, 684423148, 770628567, 900009795, 122529139, 59467301, 189454664, 12882652, 965152198, 163420181, 165792122, 18901476, 544263265, 396973680, 602578240, 679333377, 388733766, 794429378, 27006630, 262015145, 895629665, 853513915, 379928899, 546069586, 303639690, 717186156, 276679197, 248374856, 8462663, 369949531, 917818545, 648940028, 636536462, 625472149, 124982214, 128795178, 466634814, 702594051, 50608768, 383901531, 902192348, 230111025, 528089232, 506480715, 641852101, 664436527, 119938701, 576750808, 262235328, 975872791, 482345373, 274556454, 371234759, 245580968, 498990393, 738390637, 780324895, 36792311, 275363734, 3811362, 204115683, 325378682, 311846876, 866180406, 483750228, 907662883, 493513010, 210458129, 494190226, 312031004, 496645993, 736065398, 810833745, 812267613, 431780287, 565931855, 393035662, 908744240, 528948335, 91973186, 236173487, 191686020, 349138829, 47211774, 183895004, 679483208, 692386655, 37535971, 988761504, 576256392, 226226067, 311822155, 78533580, 588986170, 507197361, 843548772, 374860197, 371925087, 833219135, 744512181, 237534049, 142199972, 630243599, 642491605, 675899711, 821922142, 537635081, 630104993, 275893426, 779363556, 922188385, 659097791, 66771311, 736766481, 508974570, 466304410, 698148847, 650538937, 880730329, 572267887, 520693728, 932745177, 988843851, 620218350, 90802953, 994806785, 323008981, 516300071, 583229270, 712291531, 878784571, 813387634, 674852724, 224928063, 100714997, 999923608, 219809889, 714013024, 823941040, 63523896, 53113439, 5014811, 745233489, 571381398, 22941446, 812036071, 478401094, 571337350, 726815561, 864040882, 218295386, 106895782, 930338817, 795586948, 345223859, 459304198, 708585723, 260168432, 183143942, 216511232, 591610642, 715107604, 774170046, 130447626, 956619532, 512126588, 174514311, 964547351, 784128931, 501349861, 876213271, 449714378, 219644239, 216659144, 922012653, 53276300, 137132020, 981013755, 742872920, 941451064, 218422675, 867348142, 744946817, 361025736, 363776180, 271276164, 440085626, 792318510, 628021658, 569891713, 360404481, 190007327, 619416960, 588061164, 931521868, 308554222, 152966718, 612016748, 486621939, 788976107, 669829673, 969432859, 635461457, 670090410, 147578540, 230993204, 995748921, 718376399, 620667654, 924448321, 39605413, 153278446, 53567549, 854336123, 272218857, 516474611, 219394229, 395132938, 141717138, 561916258, 600896755, 172340670, 117738784, 90790698, 683144595, 492379513, 308894896, 355066351, 943294839, 907308398, 78742926, 492361462, 88591593, 446868611, 393094008, 878331835, 89094382, 9447908, 624311765, 504804114, 928323940, 940144033, 592136682, 732502437, 633544079, 138221072, 692009296, 428868800, 892105329, 330984666, 511201186, 543217166, 865164625, 246758637, 33703174, 812458928, 209655781, 375728763, 496544109, 325504987, 553555796, 798781383, 316313223, 839041212, 20646568, 702970859, 605498798, 184885416, 50628202, 135693160, 517523570, 432863173, 749884529, 887804110, 604583571, 374772341, 278603687, 210501610, 725444989, 942633080, 261633069, 548539077, 425764466, 135621009, 133245119, 531612480, 880936364, 112625887, 602116730, 288392508, 816841335, 272052165, 115693144, 826392907, 471386275, 294666288, 421824407, 816592849, 330958731, 787762396, 959274247, 527559904, 642793867, 950778422, 446392171, 506292001, 703738918, 553055641, 183442711, 265839343, 30278171, 293790729, 845316708, 561245965, 768138623, 451408575, 874635574, 264969638, 67097457, 377827442, 198795189, 239304805, 544453698, 962645034, 183271016, 861836397, 845256116, 967949828, 435015295, 12516562, 955266694, 987264080, 678582307, 690383812, 777539453, 636239746, 497764238, 87263282, 753028963, 814942575, 220585102, 455860359, 114201980, 25830580, 843746705, 225858179, 878176470, 80679080, 453216424, 509682769, 166610764, 539757893, 827963066, 682258094, 578750162, 193893998, 780082397, 880798840, 743143682, 125825848, 447834695, 721968840, 770530464, 81867226, 865553081, 504978664, 166215602, 585563758, 864551832, 912562499, 281293140, 879277896, 574585651, 826889156, 703380298, 217371669, 991866910, 356115874, 487503192, 107481002, 782704156, 126868909, 835932298, 510149640, 679804107, 503174169, 562786774, 376309229, 283517876, 349748943, 632350465, 278763012, 503121771, 833143794, 917908247, 815015931, 29645062, 587284319, 501463681, 350630191, 302993741, 449326699, 739466872, 67612954, 633601661, 64126066, 579062039, 122043560, 859615155, 923239637, 317730916, 583110547, 959056967, 6696303, 599991249, 991274886, 928607870, 518187618, 47029686, 839937829, 567988102, 434793665, 114310245, 655340521, 279985382, 393709510, 258003678, 901678811, 784295642, 116379281, 420438555, 855689819, 431526050, 673352530, 154923141, 522570812, 553848666, 324889945, 601225170, 659240559, 567268825, 214095048, 549477675, 327819778, 313797624, 649700313, 73153647, 943877686, 14493823, 396668670, 905884513, 728970362, 297784971, 347817718, 682022348, 658190909, 121517784, 987540280, 870656749, 778824091, 175427814, 656208873, 351700906, 595506275, 2070877, 975771533, 479710506, 800807274, 753782249, 21788844, 606228205, 437471154, 567606100, 235158929, 383281708, 128254023, 698346411, 169631940, 715887120, 715968222, 605442399, 572491598, 270574340, 381776241, 612745608, 696897128, 934306932, 267597392, 501321029, 223849150, 329628142, 988806196, 206314977, 233419262, 971670410, 52817118, 185308448, 810213576, 297763240, 109952652, 83357389, 257541243, 894846897, 593154657, 884112040, 188485032, 606951943, 546798849, 121258489, 136290603, 371328349, 640235814, 749957201, 594046220, 952049918, 330697540, 591061718, 525448770, 68567384, 461838924, 381122289, 294643352, 119837678, 98396029, 919060553, 579703749, 324970243, 773421187, 40636308, 997546032, 501545286, 438382465, 125671313, 857160042, 353834660, 830847496, 213300937, 524174516, 750146834, 744572991, 36140723, 642204288, 67205357, 4125776, 138664175, 719119101, 642378178, 596941128, 766414189, 923685316, 766969622, 125808920, 291596353, 146860281, 390582054, 68191183, 484242778, 829476193, 41854978, 972033400, 804949735, 365177000, 297569815, 781257897, 224751800, 386180050, 345236367, 265527853, 783669290, 165591178, 484212279, 246442186, 277007688, 418003245, 896116278, 607555793, 349056354, 57211918, 231221673, 780400901, 301000424, 907281274, 949906950, 681608158, 423821654, 196233158, 35034157, 441236357, 79978577, 531892525, 127340347, 788006756, 405983511, 889140125, 27998503, 174396083, 511080838, 621036142, 386745451, 321230005, 977638100, 716884986, 163889456, 554231245, 492963714, 15462887, 953397387, 802209258, 875490446, 926477126, 91995644, 779709869, 278623720, 616232571, 405309125, 738814783, 742461372, 677795955, 210053232, 750299359, 567346360, 228568816, 931153006, 608743838, 660698847, 590403136, 527779481, 181669830, 332314821, 947002221, 679369911, 115938431, 239266666, 716824324, 928569281, 327966229, 210648532, 392614204, 162776733, 68732992, 181911652, 905311306, 537458890, 664967335, 225599264, 398352745, 545168708, 305722042, 194098772, 900124216, 445001036, 74695682, 514759764, 368386982, 452513111, 294950108, 743207134, 297132146, 338385293, 130807140, 76918757, 633425387, 215595432, 908896930, 397116908, 401999305, 817691940, 867598816, 793830524, 957021271, 565827999, 821784343, 717535250, 225974006, 74804170, 619960190, 452434002, 651723190, 759314414, 896736524, 574595921, 817327048, 321207274, 132892702, 277151205, 537289820, 644207272, 967851301, 499389799, 821967757, 716616503, 718521124, 575793595, 214726865, 671503360, 778432511, 812007213, 163973890, 939873467, 196898663, 76736071, 284548758, 831156965, 172128668, 494577710, 320301407, 159913151, 555361711, 212512957, 609113661, 724182533, 679183658, 840564296, 774580740, 715287293, 293744179, 657605031, 609144767, 509457564, 171644507, 309323891, 361986594, 283570262, 398089030, 312473140, 726605024, 28469279, 540014545, 916333016, 957470950, 155449865, 371453949, 529089418, 540718659, 209894404, 39360854, 31579013, 382810232, 190879903, 495649625, 369827352, 453054142, 853375180, 680079175, 981672152, 626927845, 212833373, 235068538, 735830383, 830312582, 348175529, 133879909, 232211277, 812742335, 911869083, 402416055, 425025880, 571880233, 762595206, 626636371, 331457037, 168124247, 574979652, 41773725, 353615278, 312892411, 153848877, 531146816, 748170218, 325099565, 706860202, 747009004, 642622120, 598024192, 95683776, 769425481, 622521973, 345724990, 721828341, 58629196, 143309023, 825890, 814189260, 723616358, 688066823, 252821583, 64952990, 792376698, 817067333, 586752767, 834737401, 149470942, 665230323, 791365887, 776002424, 607584429, 93906111, 662750905, 109430207, 261886718, 9039193, 513290697, 699967273, 924520221, 835269155, 631978442, 395143460, 434715686, 750976825, 396974332, 39709464, 156388669, 578249388, 469942343, 658083349, 910263166, 566386676, 206206358, 159676634, 25592718, 864095148, 285063821, 861757352, 394657437, 89649829, 28042943, 739971799, 902519074, 155086573, 618230983, 386350294, 533733642, 972623861, 291590180, 810282619, 161600806, 409576560, 516336811, 158690942, 959604559, 550742198, 40738153, 256534802, 632537480, 717923002, 130396523, 28192557, 148073718, 23815708, 371812300, 129038488, 901087641, 408813387, 326889011, 955160595, 164424095, 820694036, 622714352, 269346265, 708538366, 878405099, 884028500, 400668534, 536947171, 492864609, 882964842, 569494336, 51917661, 490895192, 933567081, 129409654, 808688960, 257628139, 554561856, 699836438, 937833088, 795625021, 645876260, 952198118, 785205277, 841085773, 941697317, 779604663, 449923628, 249050667, 290473202, 804137599, 606360604, 349350658, 951275670, 821986678, 767346489, 597856053, 357203028, 404258480, 463646039, 824068763, 206220167, 936151083, 711702838, 683588803, 114948152, 37412952, 150014553, 927738425, 24265082, 743987549, 781168046, 370952563, 135840161, 518532960, 539367351, 651104043, 144607248, 415223745, 269852882, 121156510, 633715725, 31733569, 458919711, 939115489, 301958608, 458726423, 578103401, 575383582, 812101284, 249542067, 580016282, 405472181, 416560202, 464042949, 324695477, 359170582, 645381748, 546774536, 54508317, 819216996, 381092952, 828313981, 555049401, 13664274, 665056959, 107048897, 432987862, 348096869, 423702801, 209895908, 390147573, 835374231, 576253872, 831878989, 221056465, 227243442, 622681294, 616517620, 866157429, 419132204, 372090580, 857245003, 37175056, 979804249, 775864733, 974678652, 141931291, 44263895, 524470386, 339557682, 636857343, 862775292, 953785747, 613145648, 451560513, 692576967, 929200004, 929815725, 446547226, 463065057, 536051961, 610833058, 796037446, 968714583, 824472526, 970042950, 533584831, 170160633, 159247147, 9952168, 819424274, 313536657, 448030810, 259845959, 433397987, 794248265, 298835417, 44502151, 586016238, 762695261, 742825517, 982951154, 575077066, 413233128, 702649444, 175111533, 961678828, 997507101, 436770720, 724635805, 153070038, 180825085, 586419419, 288518150, 440420596, 856288880, 835333122, 176751496, 880446660, 989044950, 690506915, 451571462, 506630838, 927286444, 93986907, 122209307, 615415524, 874332393, 556094720, 241590365, 151346725, 670282326, 321339003, 963493963, 960087711, 779260492, 432297231, 860286471, 581490021, 952290364, 458437289, 597119239, 954137764, 622094105, 400049297, 424131738, 324020632, 934206243, 235897184, 314344413, 762909836, 762649578, 384777856, 628857848, 22786366, 266455471, 574921876, 289882686, 401528332, 288666709, 159619667, 575883695, 553620051, 854200072, 186239959, 239911785, 607300643, 596251775, 529937506, 749218487, 945917742, 479793703, 787699842, 690092166, 872072440, 928751013, 800120863, 834960255, 268551996, 576986815, 894847955, 129902756, 701323062, 15389427, 918985272, 892131873, 924968615, 39700989, 11649907, 99772004, 17308991, 993976987, 56711974, 646143713, 113824738, 112245793, 443635670, 226628781, 169934468, 616299148, 15673869, 8309641, 162299276, 462249668, 102428558, 44582622, 637512185, 679555504, 627993596, 245565064, 868832010, 877848211, 427835922, 531500584, 473504829, 87019576, 152648830, 717914935, 416944010, 902690344, 891917529, 277363499, 281216775, 402762427, 180949555, 874179038, 42508409, 594269393, 834382147, 551235065, 523850100, 12947706, 736152309, 568749620, 218587757, 200771704, 758647030, 81468523, 4842717, 961181259, 906039876, 715332108, 274248891, 115487398, 847999641, 903028624, 769829849, 706918448, 444608530, 903657843, 27493671, 14990157, 545692099, 802805013, 88576094, 640766928, 428610503, 803815108, 704974858, 894906642, 59226474, 28288401, 945013281, 767833855, 798214103, 267252624, 636259057, 508092720, 428239835, 742677608, 2439174, 749606635, 741168390, 903897694, 743789688, 712799103, 547787318, 821244384, 400054621, 826001268, 803845792, 815005312, 77719526, 883271084, 219430520, 73845715, 272428970, 228534430, 628277897, 162409891, 418426950, 830039189, 761710766, 191300655, 601038383, 287520684, 748502053, 186902957, 716282190, 600771373, 950210807, 705938598, 66421712, 104682045, 843518846, 348663091, 246613015, 473377429, 440306816, 691851338, 163422658, 135392796, 513339727, 88437287, 283214185, 117249459, 907156062, 451325657, 579647163, 513000091, 907803361, 551471442, 744358487, 591426222, 206499962, 100118887, 790249174, 73640003, 881917340, 388059987, 882675404, 950922759, 414377121, 781261037, 744167379, 179543548, 910757461, 971248617, 717898913, 770850511, 92008503, 676051468, 323395771, 785693339, 590710852, 5269715, 638467150, 222414983, 761259521, 263644731, 38435090, 511761572, 359786646, 922954018, 244924683, 583067706, 283046571, 318633875, 683594615, 666490526, 701580911, 113006477, 798971016, 601110540, 16906631, 925876997, 182600417, 402025416, 748769228, 952500551, 723955009, 721345133, 437098362, 110577320, 288452032, 157120269, 308808178, 529982934, 537116596, 851753399, 808073596, 281853983, 991840640, 674971920, 881953508, 826863160, 546397811, 993533771, 80415042, 537197012, 243843839, 305803329, 352030961, 961785935, 332682600, 522714297, 670726800, 415785964, 414333185, 366481188, 330700239, 552485501, 488988260, 374517983, 178014519, 491500745, 961531466, 469771503, 384094484, 696470383, 1583705, 22183990, 643154122, 788192510, 962850295, 609310538, 685004814, 832517167, 728213123, 63686736, 979223902, 834494380, 181440619, 657899494, 227121691, 113344051, 633328785, 180707565, 883367870, 619055916, 652349918, 287095263, 978242925, 413225775, 250453632, 881310348, 82635622, 538371953, 71119403, 567086062, 80160234, 392028501, 717832063, 900341668, 907540174, 708221231, 687052798, 619676292, 64403326, 364013495, 488213672, 493438603, 44656594, 887622596, 829650988, 874730563, 846056808, 42506429, 123224704, 111028720, 588987917, 799900783, 707350819, 418758247, 812018916, 642951045, 84909618, 865254743, 926896719, 327629618, 765175105, 735941069, 510166249, 626817214, 609508845, 106648879, 763596967, 767909762, 967382870, 214890611, 553410984, 287554472, 145093584, 899949989, 193975568, 202875350, 845684647, 267851993, 826063948, 685599133, 873902606, 631356665, 118030382, 33334080, 502602925, 493210461, 816193125, 579913274, 110984405, 610961636, 761687267, 410416790, 435693342, 629997227, 164809679, 957304169, 370578787, 124686334, 21220731, 876539917, 159511308, 574256011, 300148823, 614528235, 757067953, 942950561, 38648470, 67906110, 675401474, 258953685, 617595723, 550691700, 679155176, 68573179, 881330857, 497216607, 706764695, 875954171, 658466735, 451614616, 300245762, 450860146, 589061005, 244839524, 959407569, 985586018, 296670292, 709965248, 914841911, 542396223, 347632801, 884057525, 514841062, 204946906, 554069851, 830301336, 483666392, 165280700, 330294986, 586303412, 34248106, 972488007, 485734804, 759938017, 590180324, 380045223, 15436325, 384275927, 97195916, 145718696, 300273528, 758403722, 935394897, 234777236, 586936993, 560650825, 523436251, 441771068, 118128251, 325113714, 656265903, 23111360, 483963218, 250105333, 908932371, 429614994, 648812152, 666788826, 806817543, 39216877, 317026644, 13149264, 750683427, 965553329, 992555529, 644920271, 757324615, 713931409, 246271877, 527010715, 337508046, 767089782, 523531950, 180015000, 449043181, 168432003, 721113458, 131756109, 399835172, 202509715, 945410608, 515974067, 483523586, 813867785, 206319613, 643252161, 902938147, 27252470, 946801989, 189182959, 159315701, 622667801, 942901221, 18658460, 643182287, 748601029, 916630433, 515202432, 541822294, 490971823, 530862167, 277304438, 446091273, 727132672, 920918242, 456929764, 893538826, 61265612, 730521667, 333094080, 92060112, 162815476, 569780040, 362610810, 934934642, 150642458, 51447094, 849629843, 72127359, 134579543, 192371021, 764147145, 813401205, 516338716, 211192747, 830456339, 315151643, 183851735, 771589163, 612047116, 371106527, 21749065, 872889024, 315026277, 630211598, 827070751, 70444289, 759115596, 24169723, 887563122, 361695342, 115655086, 369266977, 60705341, 255587088, 637283561, 69087771, 263951836, 759199658, 13507410, 136101367, 16109069, 919947339, 191841266, 588723785, 201889482, 949297695, 717540462, 318021352, 193650596, 183275909, 333173039, 527173649, 842074749, 550002418, 179952870, 626674461, 291613731, 615229788, 14486008, 316631117, 573287626, 454516140, 987976300, 538767871, 337197221, 166804802, 882200475, 127183682, 260065299, 590933118, 413717900, 928297924, 415530617, 171086543, 178099140, 452647438, 659248471, 283268239, 199164336, 381825121, 704599129, 339061850, 441725606, 389514807, 51072246, 194007188, 510465589, 553206777, 633434569, 113247224, 883598158, 572947164, 878877284, 712099936, 339805514, 313994784, 640938479, 173677435, 992569385, 783085622, 623553391, 435835005, 343903441, 96104921, 262662568, 305211414, 30565407, 506835811, 735317518, 453705602, 79290317, 832425189, 201105056, 555458035, 630438554, 624606872, 66965768, 541136598, 843364341, 475268689, 756621547, 919285650, 153174558, 352561669, 345018536, 747020173, 369147457, 973308422, 392634587, 230391055, 567813958, 713041210, 172095041, 352419211, 224854977, 128265078, 248988860, 81236577, 663424496, 831493283, 155868659, 155836124, 318897640, 641430780, 768635540, 408074355, 112189313, 665061357, 527573143, 468080283, 999768743, 406406275, 165188462, 794283235, 99159762, 970306951, 776722693, 480726934, 48794286, 616045663, 258502479, 219407776, 151179595, 50981966, 121648099, 108069070, 166213286, 824441367, 950939170, 157330157, 411008035, 96057948, 44215181, 258584038, 488607597, 139125461, 382854237, 315536005, 217814871, 613279475, 614455582, 764117195, 884808815, 511529663, 982092343, 886771941, 603087237, 932245203, 711298610, 743282816, 81159987, 471342526, 845021454, 521401269, 462513459, 420269535, 805495038, 727924505, 886709727, 991398140, 868847330, 489891233, 957974302, 558047692, 927084616, 441893649, 963296200, 846736618, 943832132, 283400623, 70031515, 168371958, 332149133, 276380531, 339120395, 553060644, 556860226, 690680199, 837696296, 63371623, 671232174, 729706264, 972601447, 529555264, 211827356, 943880909, 700916112, 957436496, 306010335, 621906997, 965381997, 290665655, 597939401, 630452944, 48513625, 970223215, 882285212, 702055516, 643431697, 259615324, 391776781, 886243789, 399395712, 540376530, 609957011, 726833358, 710199777, 628526273, 832983653, 927328561, 935209970, 26031796, 719174013, 146124733, 138676243, 273707899, 887988609, 51127571, 791944843, 62595646, 231164695, 190065327, 519589919, 2329264, 492875963, 475861242, 442535825, 915267607, 328539363, 287032537, 511610638, 300972538, 318465722, 695832435, 491331863, 988467464, 983128228, 981119767, 430715017, 157014598, 254184255, 16050588, 772493819, 939047053, 499897037, 645524809, 873476113, 317288956, 247739974, 663517262, 735321871, 832517881, 763299126, 815803438, 415349498, 177538022, 237300062, 422013515, 775233240, 682424736, 173716402, 597197435, 996996242, 656150124, 109676711, 903450580, 150990268, 279120600, 829615733, 371069691, 285973627, 876537974, 513631017, 758650342, 522771496, 475217274, 45972264, 188644787, 108090278, 129018787, 70958552, 249724789, 702492723, 130329956, 256094481, 280907095, 693666270, 192290369, 906491185, 904396433, 272782617, 136844455, 536637023, 695112980, 667687494, 948176209, 989410435, 717516111, 813686931, 822199803, 748521836, 948034419, 669278472, 364899689, 376517839, 415776764, 495295662, 479158829, 273309370, 640962946, 21863655, 4315998, 823378891, 25738483, 445394456, 293504968, 455272040, 72289534, 466492431, 549030951, 746989625, 280885104, 666399241, 659813619, 795353530, 250282815, 508321826, 197263951, 703060970, 188312302, 263211491, 842310407, 845323764, 978391274, 521880420, 998274346, 458801062, 28089567, 708002692, 350435798, 23689222, 676952507, 697988607, 791410901, 848690607, 669769986, 891043796, 938295354, 850431481, 303438399, 306330846, 756101554, 898101419, 770590456, 158285116, 465533556, 620002371, 211902696, 883921854, 598974678, 379756487, 627330828, 388403353, 340334317, 136248430, 388901678, 300947638, 550246562, 374553154, 831416859, 199444202, 574230784, 387653674, 706329225, 224061290, 629678850, 620078680, 511218713, 963293195, 861282955, 961110425, 797602945, 941417355, 419068777, 680027716, 684417422, 956965902, 222087615, 968663187, 749716899, 791747513, 970683390, 942794353, 905827099, 759463425, 276111828, 584756656, 509049689, 145915352, 982407253, 717076292, 151819852, 297894513, 536945118, 150740403, 386565889, 411666225, 687831472, 728419337, 985870277, 191199784, 783121525, 918757323, 78650926, 53717984, 508431094, 347458503, 867189443, 563455724, 333899351, 372566314, 631487702, 97968749, 968728769, 795406969, 793090894, 886225833, 841357745, 605381537, 855601392, 931479819, 926622, 674510558, 235089443, 741175589, 339016268, 151404678, 161495470, 872276632, 187114651, 352558494, 700810341, 33024602, 563211421, 582125574, 957594447, 104300184, 358035823, 251768866, 144626978, 665180429, 133104565, 832638411, 519133900, 708922851, 947826984, 561372509, 532328495, 283688560, 209506761, 962509609, 337441019, 499054196, 292959752, 934460524, 924699784, 56728859, 28755420, 137065576, 906475255, 655676060, 843612142, 241195091, 134514673, 649990343, 392546882, 499143461, 61506941, 118510070, 919496059, 752386681, 420942050, 664473640, 705032092, 485348254, 224675256, 867129249, 565026036, 236157117, 761768670, 771135932, 435602587, 879499103, 149028609, 179988077, 698980555, 128996723, 966129512, 994052923, 516108103, 603969804, 265793478, 740727276, 817887329, 64830778, 218890536, 763640261, 719701214, 63364671, 989842862, 437510348, 812016498, 900526605, 720055949, 44137216, 242650098, 403504381, 510842706, 108466202, 262046316, 607378571, 322686985, 316748123, 836111015, 923504313, 591444188, 929438884, 48121616, 520656715, 483344743, 2089530, 826484169, 751970465, 138221029, 330637178, 56093289, 28231304, 836150296, 875743625, 892136450, 906490518, 481424975, 941374599, 666591712, 746411878, 10551292, 228478194, 797691051, 981519065, 770785029, 491140198, 165592312, 469386452, 215504391, 264023381, 29203370, 758475899, 303362040, 95255139, 791009718, 431504737, 997655930, 686994828, 177031892, 161533041, 159373091, 726191906, 666516717, 738088845, 866278013, 825174005, 881862209, 220334820, 427965514, 669701052, 938412128, 929012366, 319896180, 944112425, 299344042, 712047258, 424249509, 893603331, 537708128, 427870910, 254414240, 286184932, 448959818, 157874624, 468470635, 753356164, 968852841, 903937074, 447312108, 624193377, 751032626, 679984871, 896224473, 300061289, 757775039, 100172012, 458040048, 480710144, 161538771, 930870146, 262828557, 378760529, 807298619, 497825759, 188472289, 16275444, 754694178, 756419569, 121903924, 367334547, 247659208, 617045571, 486482096, 177664340, 808832353, 727128850, 627103836, 788092127, 993044763, 329120852, 796845941, 286507317, 73840332, 98834952, 609669236, 673012257, 985685110, 484388384, 641215660, 690288891, 237189315, 684637113, 179641411, 100331450, 331318316, 320843516, 549431504, 765840615, 328216515, 499564971, 762141222, 928710768, 274162562, 184053561, 850949297, 286146758, 822021344, 155186342, 975349220, 124468906, 495558640, 603285867, 635006432, 177537791, 102523120, 358080645, 267916067, 75113016, 781091937, 262665368, 818022230, 908145483, 985786459, 83542778, 285862644, 701024, 223387442, 603373332, 500238030, 662028404, 557138008, 368247014, 337332903, 836246026, 59003475, 484004362, 229346100, 381268190, 51166262, 882726196, 804392576, 81989607, 199679486, 80936194, 576200959, 588669522, 824999805, 732307562, 465225378, 208280015, 301350517, 915418767, 576742002, 199068798, 135102407, 931428333, 408738149, 159041809, 354974549, 578508521, 365565098, 897419592, 163441799, 674500763, 695188151, 509721208, 99410021, 880739969, 228648227, 869163128, 453346186, 989668561, 213979623, 774123644, 436057723, 436108306, 527986371, 266144440, 636256570, 130457020, 721428720, 75903805, 652419605, 501290030, 751629322, 98819160, 598343021, 838434152, 999173783, 247184217, 396227206, 780047759, 585708205, 150955365, 105092109, 103168614, 321020788, 471654648, 364846270, 231509586, 285675553, 18419438, 856628920, 246742890, 99529525, 810157420, 999860879, 9003164, 684289090, 865189625, 725043678, 198327214, 970995574, 155069860, 625558459, 491815008, 327773628, 440960533, 129493015, 439433491, 20498003, 842694683, 114767266, 855890429, 979832780, 245681065, 694259752, 868089873, 987946936, 265241888, 198114079, 503045708, 250554613, 314555943, 270952605, 244541626, 864587328, 950559007, 398020073, 910152574, 405950526, 231212022, 111572241, 440528770, 548985243, 411554141, 568540191, 85116445, 530486059, 428468178, 564357179, 309766846, 900387031, 156958503, 913626442, 88361044, 54756339, 670816493, 164660984, 595298990, 587433528, 897040980, 856493758, 514933611, 198456565, 661539701, 574726041, 726500560, 736654544, 649236251, 608058376, 742722383, 259856865, 703994172, 669784166, 459971722, 199893038, 538456393, 570956859, 416595518, 424529724, 792597242, 334575418, 952509459, 516981291, 424345184, 565904611, 912970447, 573596954, 841888718, 941454670, 382720959, 501224895, 68733364, 50556876, 644825354, 19485895, 959189903, 750781636, 770000594, 768664257, 862773553, 367375060, 50842267, 432821625, 289237387, 138965772, 228563814, 816253013, 169100888, 855986225, 788437864, 450253806, 267258656, 475441407, 228018622, 634398114, 627552688, 690082812, 187352278, 10428869, 937808725, 993608995, 294150630, 587359373, 238941491, 654894540, 846537603, 187868275, 433071999, 836854912, 694152355, 680278275, 799129550, 846343787, 445084253, 268814499, 810736789, 446802086, 727037107, 182973428, 742163433, 469817622, 850965026, 22978511, 484892425, 820448838, 948234123, 614284664, 220333402, 426488316, 32255569, 912453093, 968377957, 139360531, 531771441, 460008478, 409026578, 831614422, 788241275, 124362459, 287602880, 972828472, 416264584, 323694571, 180656937, 165286214, 440232326, 480672268, 695329869, 661447941, 736187875, 821461431, 765136968, 443949095, 534726887, 231510919, 93266545, 442752160, 850311855, 497394559, 912823985, 180979417, 15845495, 373699942, 631517619, 187379277, 86133974, 563189363, 797652649, 959932543, 959273354, 660452751, 869170653, 484132630, 894192129, 861089638, 938337960, 89943687, 626180797, 890394776, 742297469, 728416712, 457779972, 269930117, 511977927, 832226980, 402962045, 499506786, 688079183, 747033015, 31113961, 828276312, 380772609, 435091649, 976900994, 316455998, 400829672, 176503567, 413496175, 664270360, 239517064, 773558585, 67179314, 9869024, 16713172, 231025067, 320689586, 456045667, 888905079, 191769735, 29040822, 175037663, 298369271, 12025163, 808967491, 854256722, 453625573, 437969500, 594303869, 253235713, 102429935, 287016229, 302270909, 862490438, 404327846, 695221840, 128032703, 932948327, 162966570, 909401610, 136399068, 879791767, 361638783, 888084598, 676078831, 386286752, 659035773, 86223095, 963465492, 868098079, 667737647, 517048047, 945534088, 746977782, 837473, 151537704, 404377935, 576829694, 838950094, 313085024, 237641187, 569600573, 194868935, 730029284, 675871702, 803021464, 321559674, 355731636, 129964682, 851854721, 724867987, 380277089, 532146146, 108010557, 37926617, 298224348, 470048607, 513592544, 226036964, 598145770, 610173814, 79225172, 545402821, 799647254, 337321499, 585174163, 193214014, 709480227, 468803214, 18031388, 31835365, 242062720, 436755629, 423652860, 54253089, 76391265, 903278212, 174275524, 110151425, 447502947, 646678253, 16308611, 959337089, 492513499, 20143745, 417214155, 81436072, 144453044, 133204352, 199781039, 224690483, 168839985, 880879623, 707682267, 619752583, 901660299, 369163868, 407636464, 620502727, 468575884, 384306311, 154936545, 901675078, 226855618, 587663258, 326562486, 663122779, 303430538, 678308644, 604330620, 417758099, 218973353, 501004101, 305700825, 135876569, 617265509, 631279522, 359049206, 659060025, 522302539, 732000855, 62405425, 484662731, 248296700, 803109834, 830613774, 299679415, 774025842, 837242042, 977629317, 839813645, 885345413, 901567618, 26799632, 840991168, 361283105, 305102854, 226062154, 355930433, 17271219, 900197701, 873699162, 489034046, 250025796, 4312099, 726140012, 363233706, 387455329, 689025253, 263148444, 535144802, 119610252, 127379851, 990099235, 471643585, 853200745, 526658780, 167043913, 720819850, 304184545, 518523337, 906874615, 763704358, 529743753, 226138570, 699197659, 703863611, 701260127, 560476520, 65389337, 146496090, 840594075, 186692512, 843505391, 851708424, 254974512, 485873974, 502395073, 43725734, 9036192, 279010257, 907888034, 118316255, 510685196, 503099155, 700159823, 376166506, 300849396, 335102044, 864239161, 328161172, 793683069, 477799463, 185230744, 53314503, 441868898, 533607399, 151952642, 783378065, 453407293, 210015609, 884050996, 607178653, 267401067, 132749357, 499015594, 535022229, 353718776, 515812298, 785263492, 332709882, 476446758, 815191659, 830413907, 121501204, 132201022, 26944477, 312434619, 286525963, 335077284, 684856201, 223330445, 705348676, 597132704, 686720626, 562918725, 716290965, 847882767, 894573524, 101598321, 20238498, 724486010, 463401940, 528611339, 220825462, 761256413, 636749463, 208309411, 368254788, 205600943, 45316275, 273877363, 721808961, 525993439, 77075712, 867169830, 20860213, 454976847, 1903821, 898270647, 246323903, 975674800, 560731028, 459947987, 523189674, 349132931, 921902521, 753566337, 673948702, 220713394, 89588354, 140298623, 684396723, 80923063, 1453032, 394719234, 830882906, 885921549, 685212579, 867170147, 485929648, 858571656, 707049703, 592448364, 519977949, 590550300, 535943906, 231749369, 856431322, 337875389, 701135843, 678431068, 184869685, 177232215, 268745259, 229764405, 71269897, 576226971, 400375015, 549689997, 671790751, 909125653, 273618459, 934998046, 758012770, 881048188, 677987464, 813079447, 885735743, 736504113, 626535983, 758198046, 149895848, 102388730, 125051002, 141261553, 649939793, 304907335, 286189903, 147661095, 785702603, 951040105, 379439540, 671201810, 78709379, 522202553, 750333909, 548443527, 202203763, 299557501, 546312407, 23961861, 5004597, 579122407, 622761914, 257657742, 112456594, 7500674, 979479909, 159749077, 153791664, 485111253, 16531775, 179692159, 803769235, 972268225, 600670120, 592839520, 550482391, 882007388, 605758975, 430459133, 198716690, 998945587, 156410320, 544780833, 359507465, 599447768, 268013733, 461939352, 166243000, 954052748, 656397885, 990413059, 964358259, 532827604, 230511191, 653612559, 732000574, 157537915, 586848813, 359314928, 904207471, 962710492, 440923520, 206433869, 577388550, 103528063, 338209138, 640425522, 463677457, 693217376, 74143342, 347600686, 356382246, 728010707, 448091395, 873610017, 945677029, 638687003, 430155381, 567467061, 23880215, 169614149, 469139335, 887289949, 343474252, 829772355, 180382863, 840136255, 484168544, 705737079, 194625957, 73155670, 502272846, 927810334, 38404448, 48563440, 891923934, 637978659, 807859122, 905093622, 263014049, 379848894, 204646160, 685599987, 389002139, 107248888, 559157918, 573476643, 205014829, 428441930, 253113997, 119808717, 263556555, 459537218, 63363506, 90944162, 84434294, 739281960, 329881675, 307245170, 350148491, 879766951, 499443283, 150840312, 363841547, 845098647, 474737136, 200397283, 88122441, 642846926, 616992862, 408469076, 859159038, 89498507, 310620228, 496742330, 692347486, 794411084, 407946444, 737202105, 310473734, 30317030, 666656284, 466411491, 590402934, 456112027, 314143392, 336417661, 505795890, 650208252, 172376531, 110367317, 767819875, 591628663, 792995708, 436655172, 625051441, 881978423, 534908026, 108274296, 407219129, 745173053, 994340351, 548602473, 778667905, 33188327, 709504856, 777228369, 181340480, 224643881, 549564667, 485672441, 735576857, 242494420, 982117666, 556299319, 959267996, 551331982, 999944155, 395265331, 311627937, 830706334, 100112801, 845629908, 444861243, 803900805, 199928389, 859896831, 536780041, 277323573, 897782549, 276121491, 829541258, 251447675, 214775906, 476093284, 955954872, 284837462, 337008866, 361605712, 113867125, 44057119, 725956334, 773009940, 798186048, 480217945, 909282605, 670045, 549240463, 660968983, 180432874, 605974113, 713303037, 176976674, 294796202, 647546581, 291192229, 448010115, 858603909, 352945279, 210570629, 888290397, 427623640, 826922425, 166656505, 109438459, 66900743, 971509983, 26774190, 652806420, 203164896, 837089892, 408299435, 969852549, 537963053, 801744638, 748354893, 838862142, 214559464, 386842070, 154926455, 347787676, 375544511, 318515719, 618152000, 522170008, 193273324, 617733365, 188400877, 34105661, 69599238, 515192212, 105034453, 220236755, 324607453, 514255559, 22052678, 834493414, 714840805, 984979445, 433887812, 532657777, 646898879, 86766815, 19047898, 666361044, 492028378, 758597927, 893839207, 476009005, 91969779, 88830607, 580670162, 609182792, 158286035, 24264918, 557803951, 448990752, 973520659, 914756944, 325414626, 91094144, 449585780, 949259561, 611789724, 342025726, 848632061, 588235189, 365882819, 613894553, 1281261, 801373027, 875675309, 44370651, 553467085, 829617096, 881733940, 838023124, 265554292, 891617519, 498641153, 293074204, 358723895, 402200470, 31396712, 668971949, 627536541, 393922994, 557702951, 733725502, 867516213, 85337382, 807804486, 463084854, 44626272, 165227710, 257936543, 981087142, 354874796, 312244442, 708727970, 989397110, 792276454, 964669724, 598180747, 762992194, 100072987, 806915380, 199269425, 363595979, 930271222, 225531747, 524654862, 255558606, 270052714, 992463756, 717325763, 430454396, 297935387, 822946901, 112356658, 540285064, 800698307, 358540645, 232034502, 7033907, 561330536, 229619034, 488872959, 587958656, 115591270, 292442473, 922433881, 157768331, 713589863, 290112246, 117474769, 149119603, 7861024, 801357877, 698612652, 777638001, 561205473, 532038320, 483420333, 221290463, 202781664, 455142854, 863376138, 208834130, 512061624, 183867390, 191623029, 559770826, 370969056, 898006682, 350224358, 990579715, 307835467, 150950116, 787010974, 644614988, 260694330, 893970273, 217061935, 230878776, 910870666, 724998560, 534835015, 233087738, 543435955, 293280934, 183371410, 277003421, 271210343, 993180209, 945429560, 220872478, 833883846, 140094327, 23676880, 845400118, 685073777, 440497830, 611891886, 316986182, 360774180, 466076404, 639933186, 87583273, 992575297, 733955601, 987472821, 726999833, 88440813, 624583606, 519967768, 608828661, 321302962, 617052176, 91060516, 381298224, 346882404, 193685481, 615335843, 631367632, 632252430, 490381647, 421909616, 251088428, 303716001, 146308667, 123046144, 918289326, 432283751, 972428077, 957735628, 84605215, 462312972, 994093076, 338665499, 489721290, 70929116, 122157328, 550290556, 621704155, 680130454, 442189787, 834719043, 61669027, 527461040, 380186862, 85126660, 431473712, 806389334, 654991472, 368637674, 811588729, 610868190, 314676305, 46264034, 52596837, 535179635, 774973744, 83391244, 667299711, 884944430, 449712006, 209436312, 411131074, 270158540, 395117081, 392236619, 934175523, 511611281, 365470357, 302510838, 969912075, 841609071, 669756184, 172695415, 309502917, 249129780, 364903617, 332886564, 579000693, 379221284, 476262065, 115550512, 759227759, 537285548, 661009855, 922440438, 207269265, 142432579, 511077487, 935356312, 827526423, 802839691, 191039706, 502104837, 643690747, 395532681, 702147665, 665558630, 176709380, 615120997, 893250945, 537739023, 282121934, 27311522, 234481652, 13996766, 312741007, 111139485, 273412619, 709439992, 916271619, 277572625, 683116526, 984705575, 310369074, 895022045, 148701404, 694291032, 763458295, 577060359, 31891723, 808868275, 557931746, 408253637, 237405341, 425963367, 590040333, 610691588, 724313629, 784980933, 944527864, 136491283, 938509231, 686964970, 293570377, 320325406, 235439922, 940012797, 896214780, 849735508, 50423311, 889658482, 69390565, 415279507, 968580723, 753337398, 26128275, 984691913, 501487112, 865741470, 116205352, 216651516, 140740012, 298674646, 182363508, 312941827, 452282443, 345698324, 416646118, 483006047, 796923801, 505012598, 179873062, 677449130, 792637348, 986787183, 740001469, 909793378, 397693810, 225920798, 220264509, 202299712, 683766710, 447419594, 189672775, 453824081, 147425955, 77063024, 215736978, 502051474, 484485139, 576931963, 895970502, 942280680, 829825908, 383711535, 408703838, 660150305, 462695579, 45200997, 359737778, 38540232, 130077364, 676857101, 859839436, 545381883, 276083817, 105144784, 405797433, 688390704, 305353004, 985127471, 961271118, 125246624, 847964315, 344875157, 320106122, 59750873, 813073999, 953158387, 219553617, 320211910, 286318344, 948991458, 560945247, 123411595, 124274859, 865198152, 512231113, 295617190, 530833397, 394692216, 732476149, 728815502, 745377567, 602714203, 383049507, 894380441, 707917555, 893808478, 762584507, 623780786, 198072889, 458915623, 207409270, 691754956, 229591764, 279777530, 883825432, 881007942, 522586896, 400477475, 916258767, 694072890, 81593916, 443170279, 976699281, 55331692, 660174038, 895247532, 248935868, 772787854, 704222423, 352502936, 85485771, 28112699, 747792697, 425614366, 959374918, 108659902, 65813598, 313581616, 771854207, 336325254, 595262148, 514228025, 954907663, 422225389, 517381386, 431312662, 988833062, 53614438, 845181968, 848399261, 284235910, 562733438, 329475380, 781316199, 388386342, 490426741, 32708447, 699049621, 963178005, 288949809, 423363067, 884356374, 633707471, 317402609, 914541866, 640612042, 102860544, 996725734, 239833476, 363656463, 434368038, 969253977, 821220949, 531708983, 998360963, 737683386, 307597737, 100455677, 441631454, 587094613, 876598901, 656687337, 15940317, 181186907, 491894204, 361100592, 359282209, 631504136, 793956423, 217168982, 758434020, 105371195, 543792682, 2810505, 521396816, 566659946, 19328085, 209136362, 132346353, 568570158, 935158206, 472367907, 143861031, 621544264, 15261229, 225023387, 387283010, 415068800, 797501515, 735662909, 585280889, 865302962, 956722796, 863912592, 812999216, 953177692, 522526016, 933457706, 369878246, 717268034, 749548810, 45611623, 150620439, 322784368, 755071818, 911079220, 263816085, 21399865, 830679692, 745088646, 286888683, 983957615, 474470891, 709452260, 235636723, 113560232, 749144008, 6023180, 68629004, 450849210, 768721012, 307514486, 49911961, 180369613, 403158969, 450425374, 605363548, 110373404, 418051062, 999135530, 280197064, 648601115, 422029787, 277127732, 9364126, 801653961, 67448061, 161069103, 442044400, 99485671, 337186944, 156590096, 900725647, 985365749, 569995196, 410335300, 745740429, 700775565, 836971796, 106976914, 564913327, 788150924, 32869402, 808608604, 849768704, 667326539, 349899881, 95523753, 911364722, 493694357, 876496354, 952639833, 270241355, 643479809, 845045917, 542029743, 946569514, 329975835, 693567034, 669277708, 202152686, 459211089, 573374863, 780250135, 436322974, 323865335, 210939470, 998850234, 139435686, 326309672, 346261019, 451257421, 602732199, 859797073, 268692262, 153542735, 560460620, 953259110, 52164776, 338257298, 347594487, 635937946, 449257976, 110806041, 815950024, 942390655, 385758542, 530409316, 545060115, 4618461, 339042761, 365872377, 979027052, 871107563, 546531139, 762075568, 726908301, 406096986, 17005641, 752415716, 350146263, 311569851, 699472417, 181106819, 435203313, 447464053, 249245900, 191220648, 245011333, 127526353, 643085334, 215693714, 788071387, 696089578, 884854730, 787463780, 751345959, 309225389, 124912247, 607303804, 641153014, 762946986, 984961924, 708295566, 33781503, 322812894, 305434589, 430457952, 325102082, 55124059, 309577987, 911377165, 277486315, 288433571, 105049429, 568665647, 180162080, 333896964, 711613464, 900383682, 844860867, 870099389, 126339866, 281105241, 309790361, 128121623, 913704393, 898654699, 604021576, 526134440, 105518469, 467942230, 924189514, 910274165, 843114776, 591886253, 839740714, 150699784, 8265044, 646435830, 826460155, 616692993, 787975343, 306300037, 72291291, 573128480, 842547543, 331099576, 848363238, 547503297, 452568984, 142102322, 156559878, 303565892, 530229922, 895515762, 686779588, 928025512, 817283873, 8356857, 919813013, 227022899, 645405806, 837923974, 751795669, 77102191, 542464295, 472370018, 275042131, 477634474, 86435414, 742377832, 892115115, 807230103, 266772250, 491938244, 804515533, 941575406, 159463968, 361270637, 275795712, 773601772, 765847059, 174053232, 751594066, 328437205, 829814373, 986837513, 551199157, 347188683, 196181940, 142966938, 247881044, 954335967, 625450824, 692987952, 906654723, 566148286, 119266778, 32277853, 585098462, 597364562, 16066152, 514932397, 351147396, 862247811, 462352993, 270372337, 448537742, 226644319, 167742167, 434129798, 245854363, 245296052, 491149405, 360629267, 876580260, 925126699, 229091151, 802911274, 518908614, 103700575, 144957406, 355378834, 560786946, 185018596, 664184782, 645388669, 637558527, 25349984, 764907373, 862158190, 217392987, 342186325, 598784528, 484945380, 629482247, 541771823, 477472176, 502709247, 15037076, 970159473, 354232500, 383247444, 791887737, 61956400, 821142925, 590345181, 611776210, 967778158, 371469746, 634874492, 451057703, 644454574, 159555037, 767904024, 963617511, 909584929, 663284319, 135869378, 325963617, 987358982, 388290532, 73869960, 723248364, 627822089, 289608610, 509370640, 936272135, 56694132, 871965444, 276821091, 243322974, 789220935, 909360408, 108244897, 445371373, 718815723, 899545204, 815728255, 9809377, 958811723, 93755571, 145912881, 827641725, 795598819, 250941746, 925511213, 747886555, 238496297, 248316762, 540271983, 238710792, 795126197, 349437860, 131432569, 394443761, 935404135, 503456398, 352776369, 826441788, 289798174, 989755753, 246718087, 86038313, 798916982, 348209066, 365777555, 614859935, 558227743, 471916555, 218861711, 610198927, 625694937, 576401271, 938600345, 574342898, 354193817, 101648197, 295176544, 271542729, 402648052, 397302494, 957410364, 672852396, 919754253, 29120888, 572565292, 598384503, 48604501, 591800481, 607795741, 962974649, 360704292, 697031858, 243604215, 684191387, 216613857, 98452961, 84674912, 640382065, 288114214, 268220841, 571284325, 10290148, 143631661, 189427196, 218793845, 690943134, 938489265, 850784848, 790078410, 690199469, 311056499, 874898481, 181359038, 730038630, 535972977, 976609238, 14957487, 664230835, 14937134, 768219184, 993034373, 370628184, 396361484, 258200585, 693619766, 890908489, 431417705, 944725121, 910126739, 200873881, 17371681, 627929316, 478390309, 635050857, 641890709, 129564667, 348184506, 510116066, 734733445, 477678774, 166022080, 805292828, 551152216, 261729070, 656265687, 718284007, 672583619, 31172101, 86673781, 754070781, 284040575, 347513831, 126416220, 165273497, 433699640, 128212903, 893661256, 783925700, 48746233, 195211976, 615684438, 634882248, 817723056, 129988611, 634503132, 534431399, 903662745, 617623528, 927557310, 18069385, 252310250, 240752760, 625649892, 783764089, 630807662, 901842620, 987588565, 452233437, 598818043, 43529061, 114378635, 570626488, 928804995, 192557727, 580980604, 923426029, 509226486, 499731238, 932121392, 834640561, 120520725, 620611413, 458079845, 365921687, 85128583, 414357682, 415564149, 473133864, 704008642, 50386138, 847953200, 213428192, 114324675, 82411813, 551121920, 489791424, 717478777, 92059208, 478914940, 216393510, 406303741, 94337437, 659410974, 749521019, 494967163, 257039837, 159003908, 818238321, 508756219, 115201414, 172094801, 287967626, 83125314, 354898893, 144190239, 980404896, 961205290, 506144532, 329986476, 347938306, 362167724, 630009261, 397693839, 568395533, 135474949, 461162005, 244713821, 266461737, 772759315, 231290765, 580982588, 212609619, 255972936, 83689263, 804394253, 742997603, 563181112, 237952357, 216003687, 290624072, 216785423, 240281852, 394090433, 873304812, 627836065, 612636015, 575028025, 847904982, 305619329, 298512708, 538171836, 555256840, 359947164, 192409836, 422415079, 677422009, 925434845, 384877329, 902758485, 530389695, 936836708, 680542433, 980314998, 983730526, 961294167, 130063656, 879144990, 647152725, 837899759, 928517489, 987699476, 195720130, 673593960, 915757943, 333503050, 593995595, 346333369, 251871842, 582447389, 416169132, 223759677, 957136823, 944988282, 334297104, 215354334, 383653440, 364121335, 8940651, 479925279, 901681853, 371773763, 833938346, 517087021, 213151022, 780992340, 246819400, 206117637, 182073018, 218911165, 101442633, 338432781, 177409966, 224528315, 562813502, 680216149, 267562050, 939793266, 586512837, 465163490, 803554319, 720542260, 487685889, 138830096, 666425126, 804741628, 589441497, 33725235, 300600493, 291493401, 306492041, 993451810, 391748853, 662695483, 818700109, 418532288, 415154350, 149487965, 436867162, 378634562, 638977883, 468175747, 580882273, 510198020, 990502227, 674379021, 770298609, 734126342, 880993255, 199715104, 655292646, 80353527, 404027456, 52077217, 892135174, 75848033, 271422882, 748733615, 478927046, 504629584, 515723428, 962777972, 879771507, 714760099, 802396561, 756511660, 221069449, 234679878, 188087791, 57195105, 755952971, 832729373, 441707193, 975233735, 167015173, 590537578, 223990992, 956401068, 117727916, 750546816, 814339618, 332691164, 278877878, 735151416, 762937634, 963925923, 241394329, 120871810, 182817857, 25461625, 195409328, 520928939, 504234202, 191885612, 430851210, 844180516, 973356459, 504624966, 865116599, 337592187, 535838311, 336989659, 905961574, 512155015, 47972041, 80467223, 782518869, 303892313, 304038619, 98524105, 948860214, 51693470, 785990769, 725702555, 22949119, 633640214, 170170618, 610657799, 479280993, 162529854, 403400007, 880261800, 140112000, 140769581, 469003657, 151629767, 284279023, 483517703, 554241366, 955019708, 191473946, 304769306, 159002524, 942790057, 537128405, 39313898, 165271957, 764979259, 170922159, 190396436, 301955174, 828478388, 605214433, 618440128, 785547360, 789994183, 724439339, 815700362, 297943016, 779496447, 761957261, 494459298, 362300426, 25011070, 952863427, 636909175, 153066809, 602963069, 794192115, 592804656, 607575717, 80912339, 320118446, 832154624, 977738957, 281838791, 770810560, 160637789, 88622027, 91655331, 131558388, 246279037, 325758018, 647873813, 327980229, 745956504, 454608333, 275510551, 491035996, 578341759, 309144260, 84836637, 268629677, 166851233, 372946402, 12419308, 976496431, 715046849, 586673159, 310547180, 88216885, 257410658, 63586039, 253400022, 307985163, 43176416, 688141789, 588611307, 147105381, 411337967, 194773937, 354459455, 534749237, 394268812, 713792482, 694076963, 564014545, 156562250, 621489217, 199683817, 656928358, 427904333, 729622413, 476571840, 875175104, 447821191, 187597352, 855568586, 938533744, 960077559, 987351300, 751834356, 368990799, 538673986, 26459726, 963707588, 503005786, 826938348, 297216454, 878035280, 322310301, 824331842, 701147636, 260393537, 497763875, 670710319, 328137830, 669610837, 937834082, 952108329, 886002414, 46032256, 317207170, 934096665, 165246418, 206401549, 778951930, 837145491, 770451866, 528012900, 265739794, 292540064, 453977860, 754215841, 31158343, 349216516, 481495923, 180848663, 993415071, 187183720, 995599333, 172011220, 771245882, 916847250, 70478627, 971645781, 219542310, 342086402, 473950571, 5226309, 179617926, 619125803, 387308979, 386054124, 529481778, 394209203, 724163144, 29400080, 227877673, 143571309, 747967869, 852808355, 446372167, 543497908, 265160091, 998621848, 841971698, 851466475, 257035279, 256578719, 647302425, 62503983, 996411803, 926568855, 819007069, 657950186, 983324785, 576441043, 623199867, 537188185, 446891452, 283948012, 186442965, 595460487, 342976417, 227154825, 206207722, 136200738, 187218581, 944569487, 446144924, 38002808, 576729709, 25115909, 240880092, 231962738, 997292212, 824101218, 64589779, 764525884, 325943967, 482033544, 786835514, 468077066, 745285798, 89845414, 489327368, 33413890, 526863614, 540750421, 709258798, 874730369, 848275150, 651079146, 818525875, 221864260, 913287067, 312339048, 508206963, 269730987, 217855008, 543131096, 357416223, 312914935, 827876353, 434367049, 246649131, 747327083, 51931521, 855822902, 100656849, 557554307, 777229278, 101778752, 830457685, 18104466, 595195718, 435105223, 425630333, 608940757, 784307580, 192380825, 16531918, 407821122, 333437378, 581065934, 428333391, 465796673, 560397201, 838466003, 748687449, 243210495, 37796678, 345906143, 845201683, 533199200, 68930685, 385628937, 298209485, 392215354, 788128097, 957372215, 709171262, 779395409, 623490766, 948366413, 684937011, 805587259, 849729774, 16608749, 598465802, 841362937, 814283321, 183039986, 529789023, 558871141, 803359673, 425186335, 298629295, 639947466, 57614983, 566661328, 349724837, 857352648, 761579972, 51309842, 229965283, 442562766, 449318615, 414406357, 377763855, 496122699, 79683390, 597366209, 769156337, 861895411, 319743119, 98416621, 626060155, 12650534, 479077853, 175483352, 630477276, 258867261, 832838845, 446961507, 622629336, 742711464, 601343299, 494028546, 857971679, 553800783, 565418133, 558270702, 179068516, 165270152, 392811392, 660747989, 657638430, 649902464, 166684273, 592784489, 621356018, 284220266, 175603685, 234798010, 944307798, 550133543, 688785449, 983211217, 3400319, 794137631, 380584588, 98618518, 127820915, 375197361, 459044907, 10459186, 242783452, 692743622, 107031393, 577341584, 672151369, 384152192, 487565311, 222775268, 953420475, 277088336, 249703365, 401537684, 512328625, 484295890, 926303689, 374032541, 636392084, 823276380, 404813070, 550848860, 922132397, 385656555, 692764390, 318412899, 529451229, 174211112, 11793432, 893999550, 232044510, 620097962, 366866360, 992017684, 546719028, 545999242, 66338379, 356504101, 236120395, 302945458, 924073589, 891570266, 94556048, 612724268, 947373679, 902581814, 617325942, 229092067, 94123395, 153233395, 417573418, 881418503, 670883041, 197558948, 386919768, 815747839, 879694835, 665731319, 382656064, 689226478, 93615480, 321114165, 330254782, 559210212, 692269773, 10826923, 792370210, 517909570, 694422547, 847824243, 722248802, 477720044, 129327830, 669230352, 452977061, 773954657, 381111807, 239803715, 23369709, 409125506, 199324327, 922875078, 87662977, 467052613, 107682950, 783322772, 919738839, 249719858, 981921318, 965529115, 266099709, 7966177, 946162642, 346174810, 215590407, 275139131, 277226162, 325993220, 278689395, 81461489, 846718424, 889133130, 151570321, 869530719, 389822789, 455524763, 270274010, 650289255, 519554541, 361145631, 182639902, 167016260, 432007969, 61186492, 89371261, 517056150, 286731171, 754522057, 252077569, 591208022, 647731507, 516074255, 128803673, 862773453, 254322828, 390364794, 599270231, 990997577, 653394014, 572099633, 197044235, 955684283, 720084376, 555607736, 38018300, 903948056, 959501105, 637369840, 737107330, 227664256, 125969019, 623987746, 706463806, 546432385, 150085747, 548695310, 876511279, 711347932, 948360786, 202798205, 930090943, 534536595, 583999182, 316639362, 597449902, 59704669, 870811958, 859143383, 400965438, 510119998, 226383868, 490587205, 266984757, 87762420, 926418658, 332446558, 840223342, 553715693, 392037171, 274169506, 663002709, 40710596, 35685209, 896187320, 711579885, 844522980, 947257175, 595694624, 994826246, 802507403, 983126902, 952249574, 81166143, 343644327, 535687009, 421988160, 851316754, 307588133, 800332875, 120396882, 996978618, 969205346, 552993814, 951450118, 445974328, 398402369, 528920036, 810849820, 299954419, 476621993, 181252309, 616780198, 88447564, 776880191, 400217795, 666094871, 94718293, 107630860, 844135555, 414465723, 745126650, 75641238, 243170712, 949391735, 502681535, 23668648, 442498517, 172378349, 602303658, 807573757, 66248686, 302732102, 624419868, 526783119, 214759879, 56938848, 773989963, 6116688, 529841719, 791766255, 355991306, 452011847, 274887655, 919057665, 864871858, 917343711, 578369119, 361234802, 95351090, 860040594, 330241482, 132637235, 155390119, 70423475, 644954261, 604751333, 735667371, 422975210, 529911598, 545990160, 215568029, 784022917, 392679125, 150836434, 465546536, 276444712, 710618327, 458954173, 832088356, 746271789, 54477633, 521737764, 240717864, 495840303, 951620346, 760039808, 659102293, 688323712, 854617182, 492826493, 607041633, 300831073, 450471733, 801705878, 333577406, 478315774, 83066062, 495433048, 272973630, 505717658, 97135636, 822021397, 716926942, 570903994, 827377353, 76844756, 747320126, 258374912, 890704745, 103282482, 144709901, 250436031, 607267693, 232252368, 815372524, 463139871, 246680768, 475146291, 826993682, 14821143, 582618000, 534341663, 631404550, 541434981, 665611801, 439472516, 897865317, 484282471, 561614622, 180373148, 860996285, 530278936, 115871409, 817624707, 791959598, 665648441, 773590979, 353891532, 43897111, 549244181, 525385983, 356649028, 855581819, 730085270, 781276214, 553287764, 480390338, 315727600, 589134012, 349934365, 37358253, 133571856, 809362542, 512602058, 984259663, 964892106, 830181682, 193362496, 289208475, 858078775, 335502210, 668040627, 123040187, 723809350, 392230477, 349842690, 176407357, 519890462, 803398589, 844127922, 279530764, 777503580, 825807028, 874698322, 654595778, 299084787, 448570056, 998702756, 878871152, 144487626, 280164554, 541342381, 683395342, 704525843, 635099071, 871444074, 854755313, 545241191, 416677760, 908439008, 6280612, 113360698, 825184506, 498428555, 659322838, 206692702, 819773326, 78509813, 575568871, 494708703, 692886408, 198462687, 994113725, 185696109, 819841991, 924678596, 441790433, 160318877, 126342606, 132039028, 890339217, 35197293, 483412951, 290801064, 910545488, 236863515, 46764274, 464051392, 705349721, 56030673, 373758335, 542470180, 379511807, 807549296, 566007825, 62442422, 816879187, 335245083, 627558082, 670926079, 913404550, 981645396, 607214853, 111429998, 360143626, 820880153, 700969905, 390915578, 81704698, 606305205, 818997036, 839579420, 205823519, 155585230, 145122266, 964846227, 268585342, 450880808, 290929733, 701570811, 422554362, 176081897, 921511615, 101089094, 288879064, 468402799, 234186782, 332112040, 832983691, 926725338, 327837559, 991436149, 518001660, 474487819, 656995807, 899615488, 180818148, 499714157, 959395358, 274988400, 388367489, 439505828, 696162650, 510738466, 986082850, 229346437, 255240424, 293639399, 194808292, 13506092, 609265792, 464637850, 75227982, 840962626, 267354439, 336203474, 439461853, 840341864, 721752873, 776852512, 592626781, 135552747, 495942883, 255544023, 844365536, 800862206, 971108705, 717545873, 513717583, 793406444, 439190925, 321561537, 700764137, 250605404, 335229767, 583566674, 489981661, 757774134, 655977442, 243651798, 967095277, 10153428, 836309965, 309872372, 342038642, 349645730, 792751025, 990921299, 760149052, 567740315, 271399569, 175397879, 33450913, 651436244, 481824213, 403282862, 194689102, 143928749, 640446543, 650847561, 165382333, 21330574, 559749504, 282940989, 635452680, 198970804, 787741454, 224206403, 116876475, 888283066, 155625883, 860938482, 99088315, 484939080, 364475419, 153539142, 226078558, 750222544, 213606507, 688894008, 276468095, 278536363, 309485454, 494814303, 565847172, 185128670, 474807123, 433802845, 898356688, 43128309, 943678481, 969260612, 22405733, 710265235, 117100653, 838713994, 728511539, 888476942, 495013699, 520660543, 580415397, 712448051, 742683544, 462624548, 480195166, 360713853, 296023939, 136173400, 767333058, 887881473, 565244375, 692747906, 432832017, 25138485, 638412308, 130522256, 576208056, 84298855, 410520161, 416427322, 389088761, 624078853, 902418781, 760646470, 258257149, 899910699, 776203807, 19849935, 646493819, 560776196, 546763519, 823332256, 734592445, 614286546, 616045382, 989454045, 17075584, 7877742, 502817732, 224907449, 855294437, 101417127, 807471111, 560027782, 533618440, 678982159, 848796093, 689859567, 190011906, 5785746, 42930470, 192270620, 880400034, 838024067, 121561205, 290767336, 111960881, 853019340, 341175094, 766270350, 188758306, 727467556, 136319432, 576969623, 280426212, 623323983, 774448576, 588954976, 315027230, 803856696, 29941095, 431948971, 142281161, 925124433, 861392125, 80891864, 972043980, 629020667, 561805004, 312315151, 476215536, 771343174, 987329546, 357825065, 336891650, 411555915, 343813589, 195820445, 882645414, 410720520, 753478695, 663992720, 774220252, 749137259, 930691248, 434923257, 161093539, 770837781, 354312961, 193395774, 367123461, 565354245, 679270793, 397628751, 217121216, 11760875, 403564348, 71150102, 368592024, 897815353, 994505662, 408127559, 13668410, 69820824, 69774071, 861606001, 604655326, 121848283, 363261206, 533544368, 538663570, 172311982, 220197600, 172089912, 165169436, 429935475, 65008037, 699439776, 273839877, 490141238, 490067959, 444898877, 393713858, 176355122, 59295682, 892326741, 281583835, 687723650, 870182540, 346071449, 332969843, 335722873, 337845984, 45176399, 24415806, 2308862, 1110263, 952816287, 413596322, 457602184, 608181126, 138846196, 683156584, 648555388, 136354769, 70181525, 911269767, 348803783, 586386836, 95395008, 639691462, 197246507, 784316873, 351344494, 516118995, 133439447, 209032763, 754815525, 844000344, 579497382, 543598008, 669010574, 810144603, 990464876, 974778641, 697366177, 327010262, 370312488, 560846170, 792223978, 70777692, 730059355, 645250397, 267577093, 38654537, 752518626, 382980134, 931773562, 481034793, 391116196, 978295062, 460741013, 36044394, 427642224, 654541956, 229620044, 480648144, 220672935, 74255693, 164517499, 848528607, 698706905, 270106207, 72249359, 728454879, 401029097, 749737699, 540722419, 515623264, 186253746, 447327384, 667749960, 257643019, 53384358, 244082175, 319549014, 824197936, 312631521, 223966894, 407534855, 232784358, 271917418, 921835724, 796371425, 768552953, 771116236, 720631769, 176115214, 463104294, 32601129, 873101983, 726488097, 905506187, 772022708, 790766539, 277549142, 258224017, 534233396, 457451484, 984765991, 666356229, 285112732, 105240204, 928779057, 733734550, 426028638, 85012999, 607498383, 350044059, 192726117, 785458212, 5138745, 638384576, 530395046, 160725892, 734577696, 298137775, 647176944, 636168408, 916717020, 145883949, 21835951, 609989524, 624600036, 130858009, 196338930, 205677297, 242576008, 182054034, 173135017, 310635461, 239132350, 820851500, 952663487, 842340211, 870203762, 136114077, 875790965, 997698949, 398343918, 120520969, 730588957, 512775855, 8402306, 149806096, 944510804, 590083469, 73224200, 638298925, 377854673, 108235234, 523684573, 737188402, 2401175, 346457936, 172703383, 68480745, 645510646, 29654483, 134565318, 758053746, 173563088, 30554840, 677360534, 923509332, 473173031, 395834641, 895652708, 605630278, 508175810, 764267340, 286758227, 744444264, 379175927, 449921848, 733348406, 580120246, 517256243, 809596999, 389739963, 149587825, 518270340, 781470036, 338561638, 390916754, 176754554, 761794037, 291256125, 837185091, 732116166, 43956658, 150478758, 774125829, 643082844, 433448966, 145624080, 658759579, 975189687, 182969393, 969020183, 514460413, 407090123, 806351506, 546163661, 456190832, 767790206, 497309281, 279638005, 353159068, 188343504, 276622066, 11211935, 845988772, 129716351, 179604516, 901713398, 807188467, 221256876, 372100198, 210494116, 3705926, 424688858, 241869215, 463164360, 789967778, 906824777, 30644170, 922593312, 870508102, 295177668, 871995365, 945281750, 819341940, 739946801, 12044988, 154891550, 478628932, 972747958, 904619787, 377180378, 731784350, 399165286, 818350623, 864683908, 829864725, 859057886, 870464298, 550186631, 806230328, 156856889, 902361490, 150111030, 427978050, 635787880, 202050879, 942161080, 109182608, 896550699, 225527937, 1389135, 745689842, 86486564, 864162564, 5496036, 777358075, 770648663, 79851200, 949768534, 180911475, 432703028, 450220864, 512693889, 78978195, 536102254, 846388768, 709182546, 684179252, 588229545, 465688588, 62689190, 231436507, 444025359, 446536019, 498654777, 254235486, 757735073, 3308698, 204293927, 166774429, 206945668, 669447860, 587798803, 968552651, 702979778, 509986268, 421595208, 658693753, 311193363, 667210544, 522571593, 622115838, 276192827, 342369481, 249829775, 310669449, 143289847, 192370577, 276004383, 46471923, 517907769, 38643304, 859472548, 63585522, 426083874, 59218909, 808048523, 857310500, 634284520, 914991031, 768015314, 338364133, 56784469, 549295962, 905736217, 850548589, 436109554, 602310229, 280527687, 581026012, 250260519, 94920251, 687195072, 715605344, 812827227, 121047329, 820041695, 944980421, 761843831, 669681665, 893838821, 636433333, 658601084, 775978999, 693736, 828142745, 793907544, 443095282, 667829409, 966972183, 107051237, 835205102, 174982423, 976935799, 166285456, 616988179, 384074994, 798097663, 115797299, 109600134, 678026262, 164419564, 900720457, 890698898, 246533756, 744699434, 976145004, 859338715, 380534428, 239842175, 327532138, 560228431, 835422064, 86109188, 436136807, 562260015, 714422856, 652486483, 491382413, 248558592, 47127165, 420724437, 835853533, 700496733, 198441067, 847132235, 808758721, 969536979, 842604953, 19246681, 756169129, 87299869, 113484450, 213818009, 653256432, 460648611, 486615476, 786937206, 825708047, 144959874, 483005513, 315277484, 458118120, 987810880, 440448650, 450597398, 56606046, 622491683, 9315294, 402591289, 57507108, 540247114, 973140542, 901497821, 117059023, 923403284, 254770802, 337402255, 630798921, 44869992, 503635697, 653696614, 97691172, 692823490, 671486158, 215593409, 128049096, 51064024, 151859051, 989625046, 534568785, 511865523, 804590410, 152789747, 578002812, 400643391, 746641972, 373386205, 447966762, 216855307, 747531637, 629084795, 928318330, 386974745, 680022877, 721786378, 920395528, 597250466, 586201335, 188508906, 893020783, 208741505, 789442410, 138210386, 182816013, 839489682, 818535254, 27724923, 271657370, 52380605, 756435266, 259760562, 173264985, 578466608, 211415241, 277351160, 994433619, 605014110, 109737936, 951816885, 151872984, 437301871, 657772697, 701015346, 246627780, 639946642, 941448178, 562440403, 512597988, 641431519, 736319869, 95465603, 652165150, 324041869, 624372657, 959333724, 518346217, 757774499, 133957495, 25561867, 624193394, 595748537, 485385180, 133084757, 520071223, 4078826, 386659126, 496469866, 410370106, 515826958, 15107574, 928205991, 210199455, 872281929, 175547467, 599313571, 198410993, 524338695, 47629775, 323066904, 154106020, 89360205, 573686797, 115368814, 744836769, 407702832, 263786877, 503687133, 423034065, 814447664, 407373376, 89879452, 496409771, 635738873, 971649889, 278605005, 394342115, 247223851, 480025538, 332259578, 870606627, 853005124, 564178469, 76818035, 522787291, 363424451, 812925302, 941133394, 334980263, 288203814, 635000445, 718067192, 804859112, 506098587, 337624030, 855847919, 743511920, 766591741, 645185534, 666495062, 221502231, 956728792, 725035143, 734771055, 794004193, 54537202, 685441472, 312704634, 885657144, 394300099, 62867819, 185463588, 758479248, 811173547, 443026100, 934869180, 836211246, 329303403, 543539182, 804216019, 764975672, 867375998, 447868317, 510966542, 183996175, 770858499, 972270739, 38602002, 80079651, 631160166, 872300994, 281068346, 240997335, 558428456, 635393236, 314092356, 542158996, 361794680, 842118593, 969462755, 248845624, 97040434, 191026469, 506195424, 681539665, 471462363, 407031392, 394239462, 216587559, 499172272, 332717233, 528497883, 28397583, 127451318, 537488132, 233106459, 558910329, 568846298, 980238965, 663990665, 991044814, 469848397, 126594089, 752774484, 246840169, 363050684, 343002256, 489655997, 831774883, 4605452, 461419582, 657440698, 778869258, 862580707, 704169785, 237590485, 280719657, 917848606, 399201251, 768310924, 249798911, 360027216, 58620968, 283331155, 113392644, 33209187, 388100300, 956342490, 176128181, 646260884, 819012799, 425679597, 555714305, 159394301, 126727581, 615741944, 320363259, 285920844, 389710134, 716652518, 991139425, 94780009, 795769534, 329150150, 441979373, 310264309, 153137156, 440310659, 553597873, 246448927, 475695860, 862712468, 472822574, 942394929, 406325217, 233899864, 600655502, 546895948, 91896043, 298293314, 279708236, 599795103, 657181092, 868248663, 344244185, 635095366, 900328988, 957509567, 689693786, 89137671, 688078491, 477664330, 93445246, 352223023, 285209396, 266489448, 663740026, 290760952, 75807891, 342104663, 300477385, 611318327, 879011528, 348294053, 106086231, 196436721, 42553867, 674326498, 918025986, 382097348, 914538075, 820088277, 315177560, 650795975, 596956149, 785016165, 22574245, 609766522, 249342345, 964856558, 255079135, 785320619, 145692231, 858090755, 212951446, 968821233, 975005936, 618307056, 554840295, 740845099, 605303152, 494750071, 706309797, 652583336, 292329740, 816031908, 155579626, 268639277, 609245446, 219889746, 465165351, 631815232, 131531526, 13062478, 701402590, 353034034, 708865671, 982572526, 342768651, 217796881, 139746151, 711073949, 472232627, 34719165, 657057018, 300804329, 52433178, 432447337, 513173551, 128419472, 201276156, 164603585, 626836740, 253252588, 71654233, 297537668, 512351823, 253067471, 93486612, 220517698, 533772073, 582928145, 838113231, 733856907, 132050272, 462980761, 89920112, 660850401, 654018630, 731325839, 50814153, 218810352, 869687628, 880218715, 568822158, 288206695, 623106814, 198425640, 259896039, 444148507, 220412651, 268566089, 381656228, 23542994, 80244718, 257392574, 175154459, 652689485, 352631251, 370828596, 329552457, 133958828, 365912312, 727582147, 666037923, 776103972, 929325084, 198793300, 943852189, 302232495, 183812047, 936180550, 969000266, 766663961, 960600688, 918582507, 999670056, 474277182, 461748444, 65009359, 677365030, 614150512, 222438345, 288914363, 592560582, 423273195, 159464902, 137919624, 320902459, 631475294, 16946477, 107593784, 214540730, 244393720, 349479952, 987091129, 305316328, 977991030, 498549103, 693936549, 331120182, 258373419, 742637117, 698882706, 147205499, 85413634, 943554505, 767016789, 428963028, 919921355, 926169821, 289139767, 976246311, 638471844, 726514588, 185575664, 976506294, 930935783, 7899030, 858614604, 326844489, 474869443, 909620800, 116140043, 979361369, 177465659, 661377982, 598710411, 127139069, 191418322, 380466962, 653272896, 287567, 354652750, 912145420, 705625688, 374660379, 231343714, 97771001, 891876637, 53540505, 791667094, 995482807, 727637761, 547983572, 687092037, 69708130, 294217809, 527532069, 721068029, 551453732, 681760971, 334068170, 789247970, 426438702, 724012901, 249139531, 535951019, 332756504, 966797289, 860662712, 278702911, 326782086, 895619691, 920798038, 766140628, 576588310, 147296278, 668850596, 439382457, 429270355, 351998820, 524971900, 783004434, 387712173, 54031826, 870318582, 856012804, 817396913, 810177487, 207892957, 905753750, 27885911, 325103519, 452119173, 625567570, 212572397, 942205709, 336507021, 558807126, 968498395, 985132655, 245327149, 49752084, 211900974, 604855819, 925583760, 986598087, 70632960, 761113431, 530594780, 305809806, 393660218, 200868866, 433560330, 997359107, 398706127, 825555234, 946863011, 506217884, 334725323, 51045542, 920916934, 594106530, 487871743, 891651139, 110176725, 703652962, 117816983, 106505360, 192616634, 55941559, 617941944, 805930388, 860552337, 379574871, 629395935, 469476311, 808933250, 582355342, 430107227, 435443400, 342970580, 848085481, 385172863, 83448568, 652475389, 526083523, 527130743, 97221104, 36167930, 288003986, 830630121, 908895299, 359910037, 721699672, 958988655, 507214951, 340135063, 333733639, 13674951, 138530490, 504238845, 853597669, 161475782, 580665957, 178508105, 166111720, 555115016, 991760302, 197485259, 958992996, 15071677, 864308161, 806582627, 885848752, 789825399, 281935088, 892310960, 850547536, 98481415, 864729687, 273563786, 501402503, 344154933, 371795490, 463630762, 320674404, 11605312, 687678118, 934722196, 269842525, 364241091, 315653646, 171093501, 116825016, 183062633, 489071224, 111624964, 145418424, 76991024, 87698922, 681416157, 139233010, 667310734, 119779365, 932494558, 66147144, 122135069, 467002453, 722638346, 60268554, 589256691, 648832531, 734269159, 882220814, 571233622, 336704681, 190599105, 436244589, 875907342, 789462854, 393904393, 407069785, 31089499, 448813227, 629879357, 67443796, 145861820, 197807204, 657770049, 411923142, 705851411, 235274928, 967830490, 461363596, 443579187, 566376270, 304414, 862248824, 349509086, 278475478, 635642462, 237584288, 897702621, 893664663, 318171311, 262992297, 142347879, 841650248, 136917324, 358280765, 193390502, 140045350, 651227451, 215213895, 897345550, 635899844, 797985757, 192931770, 154401131, 725433345, 769010047, 714105431, 652404413, 412773010, 456397176, 659475790, 299563795, 614472636, 600074790, 235998625, 931589204, 890163044, 139305752, 854292755, 783643341, 96761775, 656652556, 20269319, 597959250, 781095220, 488335754, 25384289, 204738305, 330416051, 937952425, 378552079, 291837768, 684930158, 14292337, 774441313, 611889643, 741677935, 300904028, 205082077, 498876817, 46089641, 909831286, 323949211, 824866843, 391993628, 575000635, 128568245, 526646865, 406300608, 345148979, 175895067, 627665111, 652871345, 692092032, 677330810, 519371210, 543410910, 366080754, 737187250, 397416980, 768852204, 987061801, 676183914, 379982656, 684601580, 811927041, 802592418, 226626562, 972281546, 808144621, 158223357, 358913911, 388441209, 265855738, 534857947, 71389615, 103563839, 895063949, 746667408, 56927546, 550920539, 785598733, 525132464, 892093376, 908206382, 585287656, 157284192, 24407730, 919188293, 577685415, 67780334, 320443842, 309094982, 754227585, 610293052, 738040831, 735632300, 74161859, 637987813, 574366903, 73270901, 500225322, 37986315, 280581782, 788866758, 721731761, 928927961, 159385996, 406039767, 10269003, 388473429, 321262537, 322101785, 4454131, 22478206, 184223057, 168137925, 147693657, 809017438, 801431587, 701682566, 258792508, 656559852, 985334602, 990809436, 311274748, 308399634, 221681015, 550316610, 184623302, 300892135, 9156375, 426367270, 800641282, 351118770, 222110769, 284776345, 49516993, 837633972, 64611873, 588156718, 668443287, 858197351, 777464681, 426267762, 561354310, 688175593, 565505951, 279429625, 106183627, 276852201, 311951390, 624204001, 112472391, 503958006, 390597914, 377471304, 593586712, 757513889, 779390823, 891189507, 798915371, 508053736, 754573014, 808056502, 229942823, 463296574, 587119901, 197470912, 828879754, 727876786, 350586107, 653181222, 772746795, 320171518, 500923081, 245425157, 447068054, 46252616, 297556685, 284867168, 632569906, 551055123, 617070632, 851735271, 584875245, 941473359, 92457493, 419046933, 716985430, 486071397, 169289939, 316572219, 776539700, 207386897, 588027400, 904565878, 755780876, 796074629, 359992320, 192597500, 976686470, 517789524, 949350410, 357708322, 667423706, 402310034, 152801561, 250749506, 524999951, 122639864, 568007236, 964185058, 206706624, 642410358, 272227710, 577265040, 466729325, 830979122, 823567773, 642286475, 282027237, 236467373, 856165086, 835380102, 496387654, 214254360, 347384772, 893096173, 891014026, 604944140, 196083220, 105676788, 638228703, 540527190, 286965229, 883210063, 357988770, 713614905, 2415257, 882829514, 565608495, 394942872, 165977547, 135077290, 116979442, 458679475, 238495905, 150470735, 253963263, 218221515, 792276584, 29151071, 58585203, 929358967, 37910278, 380784330, 930003338, 451465363, 620841717, 669185416, 139853995, 456998220, 892342453, 847146100, 489536906, 643326749, 377595067, 718977239, 497382465, 896532284, 521571148, 16602370, 398812482, 746514321, 414042438, 341521608, 288987276, 705099078, 679975330, 525056116, 481073871, 241397964, 51056266, 863844404, 672199294, 542337208, 349722977, 670149923, 155617117, 93932276, 978200644, 909605408, 949524, 236845855, 881442384, 373821431, 238050740, 836801837, 855088726, 285742946, 231590600, 441957455, 402402291, 969433560, 854266729, 870087258, 164095154, 295513901, 416008440, 165195909, 854077648, 667431042, 914884595, 465830385, 306148058, 231186323, 617587540, 581490937, 422637192, 248249036, 438171634, 72733819, 916923059, 107700046, 176542828, 585195119, 330353529, 770127666, 407383679, 570939418, 244728604, 338014930, 916190883, 127657387, 71614756, 473988455, 218481192, 409776282, 526748624, 497383607, 323352893, 530918187, 620389662, 9537962, 423750522, 652080908, 491551459, 517358132, 458631573, 89806489, 24385933, 629493568, 789712206, 151670169, 541501250, 789025020, 671085286, 897889047, 684930145, 673314981, 602797516, 73449458, 193457294, 185897371, 789589234, 185622204, 236137593, 477722702, 855345928, 442489430, 992123228, 903212654, 777536059, 262506086, 88297112, 656852473, 259300817, 830380056, 651814246, 914288113, 157910472, 438177584, 423134229, 513684977, 996136822, 600695361, 984628366, 41943515, 944917173, 528175458, 620789411, 814963688, 517241114, 782189967, 159252370, 937461142, 446451027, 708943124, 283370569, 209880085, 975707674, 744799044, 774843026, 313493944, 658322991, 371347758, 559831878, 157873389, 76212297, 915488512, 209401681, 908025223, 674940310, 52017183, 436045571, 46505590, 985097990, 680580557, 53937397, 618160033, 135988050, 56049002, 208387808, 891759332, 810418977, 863839983, 523622609, 500481015, 576135350, 10686203, 397417576, 481061629, 307662951, 312257494, 412485832, 621056891, 166611899, 262210239, 612077120, 133164938, 777569592, 630958344, 362873899, 164976356, 975194448, 749756135, 331809667, 278159528, 261395577, 174450093, 634805739, 64617891, 415756338, 4033163, 296645456, 424023797, 606543189, 478874339, 932178832, 136167200, 117189166, 175040482, 275138410, 31240964, 210160888, 974210525, 50629182, 474006426, 836700293, 460268598, 740719631, 455562818, 241118244, 136760592, 302731236, 738895019, 879914491, 349647808, 636994844, 599936812, 603839800, 346492377, 255058321, 73426869, 692243806, 682641966, 610619140, 446996751, 226953813, 580434985, 578050365, 642595361, 295967921, 693526601, 725416747, 116820808, 967477909, 280134595, 676612089, 517671519, 886594447, 973282362, 42339583, 936627064, 351932549, 668065889, 457516096, 889707932, 379745708, 115949646, 606345711, 388388876, 929880595, 362797861, 292238510, 607623289, 999594967, 874919334, 144860211, 386599856, 1699482, 840456647, 631518436, 687906856, 315952961, 760886266, 924265028, 441000508, 785521306, 305348237, 804669723, 772022373, 346186082, 203723401, 62185566, 804519812, 205328884, 923972370, 677246876, 803806231, 684612587, 761287270, 61132722, 359167983, 462627054, 815230130, 220374470, 117201013, 610636630, 394208197, 162900354, 506015199, 509423294, 217609335, 598086442, 851937448, 934757772, 796171910, 928811611, 846218472, 141915387, 589103505, 649492027, 602417276, 560014173, 965219668, 302163396, 487808272, 907482829, 787556591, 556776248, 978234014, 670008374, 529147861, 839702292, 754792377, 941318093, 131369778, 412845893, 908694034, 51970414, 602383219, 676162990, 644000689, 273258960, 323426017, 474965518, 381190287, 281186382, 240045859, 960377245, 68926098, 463286963, 107785425, 480511115, 281811699, 630214041, 865975392, 274127532, 96302395, 345491867, 600984131, 490247554, 363535522, 955301509, 649414343, 993595317, 328949371, 126683430, 27733669, 849697016, 668655944, 687434558, 721856075, 970429213, 274602014, 37941595, 92715425, 939775532, 235816672, 538449238, 487884414, 897708869, 220744621, 465977582, 390223989, 303867819, 557870569, 460155638, 906426832, 233231481, 631578455, 172033823, 397181613, 708489667, 624154057, 592717130, 743753275, 927559361, 46559424, 781029749, 621293546, 314523301, 364021933, 393832400, 232535495, 653981191, 743515017, 408512419, 812789950, 542131408, 669602774, 820508123, 411303526, 967821621, 573436353, 172407870, 556795710, 213671521, 669382439, 194987885, 495976913, 184501617, 763969279, 457516106, 851141699, 204667598, 640960415, 811094628, 374352816, 362928109, 809559039, 262674637, 321875492, 260531771, 914962737, 285690992, 459879912, 621934918, 385119381, 549830117, 95859292, 698460511, 202780296, 855989941, 902381118, 687007344, 682821441, 753952454, 433030274, 317830055, 715908362, 48732071, 796526682, 873943675, 706181622, 547361635, 820389503, 972727888, 564844188, 695398538, 273826648, 498457570, 310324366, 446701056, 982922131, 221899762, 568182924, 534335303, 400733422, 156843792, 670223029, 331574138, 481115886, 247452622, 55453661, 941563227, 727627211, 987212824, 705277452, 485962762, 738491202, 689938383, 82773730, 939375215, 830788976, 327499772, 104342946, 298409296, 416064314, 634395576, 878104321, 461452271, 469061094, 818111640, 498049425, 628020232, 799957654, 152493078, 925287039, 943681057, 194908240, 280982264, 853350962, 697193578, 437097163, 242188743, 456468022, 269987675, 423564240, 513854789, 727689198, 874387254, 24539819, 993601316, 932352756, 895100345, 876464800, 484200097, 622354267, 592742184, 462697102, 810512243, 541459545, 506154150, 791120556, 540491394, 565214336, 626701378, 375118197, 512031448, 438955807, 846326154, 938794283, 698135355, 931342836, 377032737, 339112292, 121252305, 44108835, 893722320, 13396583, 299528066, 579300010, 82255694, 612397499, 744706789, 956369312, 526920010, 208170799, 268890016, 978221661, 377157514, 191016943, 856523648, 855790498, 220342995, 456564892, 772439147, 813592500, 646476092, 15491034, 288743148, 673548325, 128225695, 124937329, 224736652, 855253658, 406295837, 503001797, 64341232, 199844385, 24735455, 473482603, 793357233, 547437412, 386133014, 67065209, 921557597, 25488678, 591053067, 20836806, 66860595, 778732217, 283014430, 163834046, 723423164, 973334764, 57513605, 477923463, 139531424, 330796118, 787039958, 20228544, 6985631, 438279912, 507608779, 308053256, 305763699, 967600782, 755669267, 822324539, 471476584, 831831905, 974648749, 991523837, 521092141, 30882130, 830014723, 281782048, 938982501, 408279789, 200422319, 341675477, 923195793, 788763010, 959748271, 943630278, 793818463, 31311048, 585869070, 329545744, 58284824, 380148932, 266892488, 421766414, 634991287, 776966072, 651605209, 248208428, 229612741, 671786951, 125084578, 532290406, 605551977, 129804760, 502058978, 922644095, 470407, 496351205, 628049112, 992581783, 537671028, 201747235, 691218163, 578430352, 911628151, 559274919, 847941020, 206145775, 41656465, 649503890, 843629834, 969978694, 433326934, 582062925, 463806228, 96451201, 865439889, 429395407, 899592530, 670809477, 114416573, 337308289, 349168879, 469402379, 898913332, 562836958, 946610587, 683378794, 553574917, 414203968, 805133006, 224569257, 136712074, 400636967, 576270155, 5344381, 104198047, 891983151, 51007234, 669603234, 907457848, 794477741, 224303538, 605753086, 585731704, 191577548, 186251870, 144574837, 246814917, 732912938, 497061552, 757918293, 658058121, 776047801, 473882865, 905965614, 18796417, 348212555, 42686486, 371970187, 141908636, 589459939, 781437982, 266678843, 842067654, 697074511, 935860800, 514849716, 846810992, 914473210, 451887945, 998238630, 109924734, 691095849, 472407506, 836115877, 615758817, 638388913, 909099757, 672593003, 904315729, 576553929, 96808214, 630695532, 237838587, 918670395, 820555471, 315336915, 549736799, 294626038, 917900469, 367382499, 496537949, 141825855, 765280396, 825802453, 986094170, 435781376, 706614652, 585075021, 188977555, 890805043, 940722746, 368449044, 181646535, 151581907, 968207178, 34015246, 170404396, 32446332, 69243485, 704925550, 828384700, 274617426, 916512673, 978986278, 415793016, 861562806, 135487096, 480153477, 993113813, 433472514, 945280237, 926859660, 632905962, 900459005, 977093823, 851853757, 826623315, 22001001, 796399941, 331667535, 450227314, 631347968, 641792584, 905994513, 643846830, 876934116, 363031276, 947113432, 710060026, 935607465, 522126001, 712255058, 940212107, 366562826, 182996922, 170275342, 154878327, 765436522, 366731965, 253854004, 301980160, 796343563, 715845727, 941103185, 800891133, 783171966, 522019036, 747063004, 601250875, 911193769, 562202160, 468467012, 564232967, 68124835, 422127491, 485225648, 855283433, 276572321, 501415457, 992395225, 328698124, 926227273, 106341374, 351704308, 722228780, 278384473, 914460965, 19023395, 115018861, 82368655, 841267305, 14037648, 62992766, 921676638, 393059044, 606987157, 609817997, 1583504, 856393709, 136308473, 635969522, 464713096, 180518477, 166603379, 939290322, 692144922, 183916469, 901759790, 904065859, 229288030, 41005128, 185832591, 735739475, 960659505, 330954967, 892557588, 314373365, 811921889, 839984868, 88985159, 667246963, 682830338, 923618163, 206990570, 105610067, 304273574, 906828488, 915804743, 197609782, 384082648, 547050412, 762668844, 150217486, 997085028, 983455126, 847056495, 910163732, 485644031, 750692193, 296161443, 965300228, 445528678, 507085306, 523007323, 269038543, 28239427, 412090614, 847845288, 390672668, 58163751, 260862379, 13028972, 441745897, 212183930, 101720293, 82513313, 256526524, 908180411, 244299519, 862195814, 317086139, 11015140, 660704122, 682186282, 313943155, 348042738, 793818179, 889111686, 202411186, 388877845, 864689946, 667703714, 363270490, 223666338, 373144406, 13763356, 713612531, 971516247, 957950300, 498765648, 659684233, 697638235, 136575037, 976322873, 33649936, 301710157, 642899776, 485470483, 585121657, 831067190, 910604999, 343531530, 240869511, 586366689, 519242158, 41712328, 265004350, 998805458, 419691613, 432417500, 663695849, 536751273, 955722068, 17978667, 561481452, 51281261, 626595938, 551621618, 696756282, 101513253, 532699155, 360533315, 467385310, 935824910, 282370173, 170923127, 893750926, 16270915, 62734620, 325702641, 963767826, 566963047, 431493823, 795823543, 108688544, 645056965, 676994545, 200328285, 769503249, 189488537, 55617085, 506292678, 773722534, 641560389, 432609475, 769778940, 253556555, 588146310, 684136538, 78124794, 183425707, 183511777, 906199417, 189279392, 427402138, 632149794, 173565810, 953626710, 189754459, 324233253, 158113224, 945676087, 859108298, 8946951, 100880408, 612412139, 476432352, 881745196, 951365388, 123472835, 565638008, 947572037, 968585181, 882780878, 90040014, 778579773, 164137269, 673926607, 703711966, 942631818, 501578155, 274585477, 560219349, 363437247, 3789861, 509813286, 90968478, 502448417, 71700231, 121024400, 397727666, 30262975, 245025931, 21524531, 859439691, 432745084, 523385617, 423639439, 999880629, 956764113, 338718367, 453073080, 679589368, 734280427, 755980123, 654863818, 236365483, 773589820, 872894174, 784344977, 703154416, 248713614, 848313626, 782899390, 970734164, 494027309, 866695645, 273909687, 436042573, 706770029, 530226271, 982672952, 321796119, 187554338, 183097622, 897648124, 419484472, 110675630, 269950440, 261057644, 413520402, 274518237, 616438252, 941943897, 570798084, 408410814, 484656372, 242122967, 348091784, 286183382, 521462947, 173735224, 595106191, 950003997, 129342147, 299068448, 364422219, 514193088, 15701787, 819871850, 361034880, 323440427, 661129888, 51457852, 6087163, 532710995, 671111438, 305997058, 385409939, 64711600, 763399581, 566324045, 777456631, 586548880, 89591274, 714631738, 311431678, 353478258, 72049903, 662330948, 999933483, 136498104, 678763605, 445570509, 917459013, 292508552, 219161926, 481408827, 716415224, 935269007, 100417798, 767799942, 473015403, 854549668, 206508837, 368244973, 362905078, 837216484, 694008919, 407415965, 716431104, 65947961, 57025631, 733339194, 914430847, 334515284, 231720669, 352880787, 668798278, 183680492, 855511051, 532177371, 281084894, 431119066, 615405291, 878312881, 233479684, 244469059, 823956809, 897858567, 957255251, 536638444, 275565917, 241936775, 410396607, 388194722, 672131613, 558760843, 883957452, 404180216, 710267018, 545536032, 25174411, 849873347, 593780860, 240713189, 160024224, 302867295, 463400948, 558088844, 321555345, 47916230, 825119524, 436955918, 943774082, 92823595, 345943124, 842593213, 884662371, 741747402, 230323542, 875079028, 87983554, 68888792, 547097374, 627883738, 275945139, 830353940, 559648795, 567479938, 219665348, 744925210, 1163997, 534092314, 442506950, 420619766, 710563332, 505809331, 426730663, 935036050, 64941741, 697804818, 606660355, 685987419, 719714660, 610617127, 878759734, 24972854, 191580518, 998975053, 121303272, 275914368, 127720450, 653094330, 875749998, 299828168, 232659630, 44914060, 93263882, 801862212, 737475492, 74385252, 156920367, 681766353, 340913296, 699008683, 734623133, 415844565, 944495967, 672920866, 766891511, 767594762, 574319952, 226540889, 523424404, 981407949, 529184836, 462730063, 34328460, 363385295, 187695724, 132189977, 66603120, 592723454, 992694973, 509538324, 330671153, 344255798, 535581700, 709312207, 973492318, 838250325, 388718532, 632402871, 432577368, 49946823, 435770116, 106288852, 981315996, 22632722, 210110134, 660659803, 560209583, 930422039, 945303113, 140798752, 944916888, 693730187, 60990064, 105893799, 39022610, 548052896, 378923552, 223214203, 847393047, 577108062, 507518546, 963144246, 890793353, 197234647, 702154090, 101209457, 710868315, 935249167, 30573853, 286223791, 562385943, 82702114, 550084825, 521653672, 423348505, 980479586, 433458885, 652521797, 815835203, 857896213, 150277480, 732682719, 456899269, 851975779, 320351423, 491250521, 970235745, 480322230, 418889988, 610773350, 294596588, 591365247, 373579525, 853979328, 4751977, 984754926, 765956895, 13100905, 316796957, 398885858, 841281036, 831903522, 192846690, 366580510, 368996525, 661424861, 34030728, 55540846, 499062437, 636816111, 332779647, 887540155, 686828846, 9443882, 35098624, 130965322, 407327428, 803573143, 755448642, 30836627, 805904208, 986554620, 327187473, 594883085, 923273408, 986286285, 298690846, 176015404, 950767596, 622600844, 66188996, 232323184, 538880094, 984766983, 54255148, 32481802, 327482959, 239928001, 440520915, 440336843, 320667910, 505234672, 782393333, 576889536, 313502095, 905666236, 441351914, 230380912, 357038327, 762126010, 473918298, 133006831, 73127677, 99123113, 724765120, 671941182, 410466277, 417349613, 361713204, 488413940, 758809788, 810409899, 185489272, 970734562, 313521540, 245315146, 737144408, 391108563, 907655659, 177381120, 418351101, 87953075, 206123025, 596535639, 250034171, 855681349, 467342866, 261630004, 859923581, 50024525, 826619881, 418391686, 345997591, 988420069, 105473816, 62589645, 558828775, 719647968, 629130337, 109201882, 421252253, 613028452, 630833549, 725873419, 632314721, 491876937, 876658597, 419461057, 386158705, 297446356, 503862103, 655852639, 965498146, 923976228, 754626573, 494682905, 898843954, 686406786, 167635410, 236423139, 729154638, 504691365, 960261551, 98418571, 193865033, 175624526, 432305250, 400704260, 625737985, 934029091, 835677162, 551568858, 753984660, 493505892, 874380909, 953453117, 569382676, 696936412, 160476772, 494818142, 487472152, 29630998, 135606328, 875400494, 278814602, 456461507, 382307401, 729304058, 966527349, 947833165, 136448477, 156557075, 196397538, 240873095, 689835897, 178863759, 783832795, 245103035, 93040579, 772538741, 213270407, 673934981, 639178540, 493592145, 468629718, 674559007, 464683924, 627690893, 217476312, 459627876, 814503673, 686199576, 857235082, 448043401, 181637154, 346293237, 994418657, 984137459, 726332281, 247761364, 978273323, 865494300, 917672842, 69941958, 216104441, 413889783, 971287737, 722209236, 181840039, 656552048, 853173528, 423345991, 986830923, 665935135, 127350482, 66302556, 680736473, 126276018, 269341437, 992270865, 736250190, 540563043, 682297769, 255937194, 989721217, 204671764, 612113371, 911281153, 511839224, 793694231, 305098171, 757813010, 697336108, 524098067, 364375814, 291599192, 807152784, 94366511, 737606082, 697949670, 194230622, 606687813, 633197229, 935110119, 613145859, 532048859, 883880876, 372409458, 60987564, 855753217, 744367968, 832419846, 59622005, 783899609, 497843877, 617880397, 403903540, 686487357, 50539587, 988004764, 161837810, 666440447, 242042563, 377899570, 886989760, 929870399, 624918243, 677842746, 132041497, 835639494, 251884449, 550169386, 708525526, 916465605, 832512317, 709345885, 284435651, 368154784, 974272608, 719607964, 925550781, 155856877, 651933758, 711448155, 242319241, 883315027, 468027123, 892563390, 92147669, 606274404, 911243333, 555120181, 32742985, 242550783, 346454172, 346929928, 603520579, 331058136, 501535527, 779324186, 626383133, 179010621, 817826033, 402716486, 554696923, 236619191, 278921870, 779452361, 109287852, 199186619, 175292215, 450642113, 548974564, 250969917, 547621510, 901715078, 796931585, 753582648, 85800934, 975418251, 495603444, 510539119, 727113784, 126730162, 83237648, 987541737, 483162227, 616224367, 772901236, 443208187, 122099225, 356927666, 820158698, 416385766, 311399582, 325140764, 319873117, 956114600, 963236767, 161450969, 762166755, 980969756, 767901876, 990992147, 835906733, 108206914, 22021430, 776903613, 266902868, 221865653, 588408267, 624554942, 179390801, 985718936, 753502992, 664748023, 761637338, 826111598, 594817127, 403430837, 577677656, 624416964, 60891121, 814554950, 961244461, 940541328, 564259884, 566398946, 401718792, 897735064, 610558018, 218836720, 632403250, 311870293, 133368587, 246533847, 360377244, 115474691, 330500694, 985718642, 625551480, 240441890, 947103770, 635043276, 870431806, 130367354, 343231803, 207495573, 557289394, 260759235, 852267286, 135704509, 81173508, 99182474, 195215613, 423000582, 920597624, 975992923, 510627398, 256030214, 94103446, 988985776, 555562116, 616015568, 731712387, 710454343, 156606440, 900409622, 976201911, 104361900, 448154852, 273186309, 579310826, 27340896, 764818310, 20488705, 462406228, 653865425, 818312834, 80304313, 233244692, 21607464, 769487868, 158340002, 229337847, 401439086, 91730997, 240263237, 498061283, 372913682, 374044781, 671972699, 186972594, 408306235, 562351472, 880112348, 990472377, 635471666, 215435701, 960775991, 537287261, 139584569, 390944107, 904406787, 800263495, 8895680, 726211712, 448016388, 333889584, 163873675, 532821617, 174630534, 27246886, 695021913, 845168212, 346178383, 68242307, 663420037, 921107521, 41171673, 225545349, 553665894, 261254410, 461651765, 208252577, 107042483, 171890929, 207178899, 820978157, 330089199, 126650900, 194430489, 645010638, 594603091, 269911620, 28737411, 588714785, 100859050, 95891332, 202081623, 124172794, 449603405, 650142299, 95517178, 428677520, 578919730, 961671094, 213167430, 265803020, 413202029, 520813965, 281752288, 453929719, 122159989, 86200106, 796653325, 851722865, 377553853, 391484004, 20008306, 969969417, 110308429, 923139882, 806496370, 771277337, 974903706, 291933904, 241540790, 32458624, 379823801, 659120265, 643483174, 4944852, 856557697, 688913176, 598173776, 225213861, 151642369, 560405324, 54229939, 546280962, 346679668, 767109581, 169776170, 774158258, 771855608, 638011520, 520315710, 189344266, 948473196, 744645731, 514863902, 330601213, 637852210, 786881263, 418079892, 827151055, 571921393, 305809390, 725003833, 520201266, 720612255, 783123652, 567761917, 164021820, 81385975, 161746849, 293708299, 769283586, 796429170, 816976036, 5775140, 772340937, 652540534, 846862983, 42214918, 637393928, 47248297, 232592911, 267807946, 957825646, 61884298, 143879444, 483077413, 758092892, 956409163, 732131826, 561911229, 191804120, 468129690, 631210514, 366105210, 694038551, 709834817, 579073049, 407785286, 66623727, 34748292, 740943089, 794526870, 272216422, 181816987, 22881532, 688436155, 732109206, 98658720, 596821099, 459132157, 26252120, 441137705, 995786848, 276107011, 531259757, 690849081, 974115399, 934777877, 549314407, 442933001, 225414833, 317631316, 733762705, 268381403, 204002038, 846854697, 846617504, 700203544, 476409282, 512376809, 106801653, 693060332, 72941097, 164755981, 429738206, 971634857, 507482922, 77645189, 67502369, 730622526, 343009639, 571131616, 751282675, 976940959, 442408054, 230669336, 405599190, 101990011, 14211332, 975361338, 800227319, 619322926, 629337768, 576154641, 379756193, 988421215, 600423429, 596245896, 797614550, 694261730, 170756951, 726273200, 318253823, 780533818, 195722794, 304571097, 364913842, 903552751, 496504950, 808491671, 171064584, 674762254, 483802750, 734781432, 477341953, 48722971, 150403874, 452453080, 90649533, 663693932, 611742088, 621308028, 638682783, 498249138, 474108965, 977205207, 620818352, 480364632, 948531396, 390571028, 255944515, 623233094, 895730522, 418795555, 682995262, 40614385, 564902989, 821905649, 593535728, 497992986, 43321427, 65820805, 508482539, 87867533, 213911864, 184563580, 678901277, 977065590, 52195263, 98627381, 393360374, 628942280, 483565843, 124014029, 813439648, 187216391, 593780444, 457361700, 417026274, 84032016, 136200345, 170188764, 819215367, 11405211, 43023771, 209571250, 666374202, 855368310, 501830264, 791797641, 929793257, 847863456, 527418602, 71652798, 275795919, 12906991, 425744300, 758937695, 517547214, 702125494, 101098000, 54239609, 700974229, 669000465, 379623891, 459892641, 171713287, 701206017, 220288099, 777292264, 798032875, 346255540, 998580297, 292581728, 64026849, 153594556, 292882853, 652176359, 199516444, 835097759, 832499449, 481162190, 191798076, 521044532, 389133556, 435857852, 559434344, 685561284, 485310456, 935266880, 832923285, 523797941, 39037806, 815616024, 566644230, 167388722, 842278767, 968864325, 571312815, 230093827, 846632390, 591388618, 943024626, 600097526, 860190183, 270717357, 669694798, 988735124, 17411299, 89549327, 641086538, 456092061, 185938594, 327979217, 747300113, 479058260, 156861079, 73498548, 168799861, 936735465, 668600779, 222869848, 371110147, 166177491, 286564470, 264271415, 181848610, 951352408, 11778067, 302930785, 16415030, 683508369, 880230391, 375448040, 798255156, 146881824, 572561362, 793864223, 908935987, 102646810, 321830427, 267451589, 425820278, 70201156, 71273411, 337185657, 687775170, 603688846, 981482665, 214820511, 800655184, 129605344, 334641698, 156827732, 459917784, 224740528, 883480206, 312806111, 974206597, 332048520, 554124460, 523932859, 440090940, 497261088, 918664683, 270895612, 662323432, 657977051, 685420783, 929898288, 389646222, 222571459, 9606225, 471934716, 640585022, 260462266, 696482184, 629685392, 516897915, 478415980, 318432000, 569126286, 785759850, 281466721, 175210464, 31364752, 432914270, 867378203, 31956005, 501172318, 673267130, 697435538, 556740518, 932946722, 747784347, 729673903, 348068857, 169499782, 858543127, 674467607, 12895210, 159089161, 938165269, 969128207, 539617457, 14302123, 571972171, 531392894, 586374304, 344091734, 642775616, 330811573, 719155021, 815539190, 536926546, 456497821, 526215840, 915974366, 355054243, 436545594, 177412570, 795279154, 268502538, 671439106, 73548829, 125782392, 33192447, 556673871, 192531078, 42143212, 68571599, 574106012, 679519299, 976821728, 662896500, 236065724, 795324456, 256074949, 200628516, 778489208, 42408071, 878986965, 259908662, 108843150, 536645878, 892223497, 25104686, 406834451, 265617859, 655863356, 716794280, 965757501, 181170224, 858691110, 468175542, 562280309, 871884475, 326715108, 960523710, 527094199, 116855448, 963744591, 553436399, 701553627, 201382253, 118200974, 672999069, 612346670, 839851767, 83807990, 751280796, 23563524, 276468484, 934576314, 549211305, 761825340, 481577684, 711279015, 623704507, 978747221, 404409076, 806992231, 403263818, 341560608, 150555650, 904236288, 255222196, 808047449, 806616617, 7087873, 349098502, 165009575, 346438575, 251045878, 249938882, 768019308, 864558315, 574583620, 203760415, 187395482, 635040581, 352142599, 594549664, 914875054, 385889012, 698971176, 943554370, 624545402, 891504344, 946245844, 398201465, 993760394, 737438895, 821166571, 916185790, 650637458, 357212947, 261416824, 177924386, 376975265, 732672085, 344253626, 462488288, 102506159, 519978852, 51779944, 868169466, 871074149, 47739261, 826891809, 124483958, 161501525, 75873342, 190160279, 890114857, 152745915, 291548222, 81080677, 293348550, 121695394, 199677510, 163376024, 261096402, 122946147, 745877817, 144868763, 616835385, 857604419, 146725968, 704056820, 236283912, 439193484, 530573764, 605202410, 766164997, 388431369, 391184358, 26954585, 751860024, 839986598, 709346940, 314170957, 399102667, 641254588, 333227153, 299556713, 364683851, 736525360, 501503364, 259758971, 177082955, 439268655, 279246628, 586075088, 759768908, 161071997, 58569629, 947751459, 968360091, 280740316, 701512203, 226658006, 184111309, 22143038, 172555180, 462707392, 334611976, 520757003, 458038454, 186799533, 772960764, 971511477, 319033556, 946836994, 517925862, 664248087, 605330462, 40400324, 456893554, 41584934, 532827382, 965830690, 985147965, 953082380, 821701106, 918302862, 542953426, 22790682, 587688554, 466655270, 235182448, 541618745, 70519441, 203286183, 91197828, 962825038, 424881366, 858694633, 566823087, 219327021, 242746558, 461415983, 424375546, 40310668, 83359557, 235816754, 225661982, 856527417, 912519612, 530231145, 487326699, 276586691, 755680897, 3857066, 680059035, 799373267, 549407311, 436985269, 27700951, 534444145, 65866987, 270695281, 937137158, 74948966, 377571673, 319808629, 467833625, 682083202, 622072621, 895053315, 476712301, 653853046, 284877966, 787753971, 300484984, 939546917, 527744102, 975247249, 759877165, 837950095, 927051395, 134008188, 74486376, 741814192, 503219867, 250031519, 537439711, 845462024, 288490416, 8676211, 993657065, 194962033, 265634743, 40774401, 16541725, 64869459, 815380446, 969674170, 852699538, 657990131, 778235215, 539225470, 999706375, 492205020, 522172330, 745369084, 707035099, 380100724, 610357854, 783189241, 350899960, 644682037, 452025361, 65583772, 430720463, 412512879, 833421022, 311828991, 996762520, 769408027, 460983706, 9877600, 6744655, 543037853, 623948880, 36087308, 39443160, 192052802, 666000834, 346414931, 539725506, 253887598, 568888953, 870503991, 670108679, 885638533, 788054968, 305416405, 451768046, 123305268, 164999777, 267386647, 601993671, 956971664, 924763918, 90590239, 784240385, 119280600, 601460970, 815223629, 765363625, 600099690, 808656561, 175547202, 596887170, 945485585, 250106484, 968815383, 849490710, 472183078, 331111867, 895090675, 653744342, 560165824, 191154381, 285384052, 154000277, 59234350, 196306371, 584412741, 865907751, 659324958, 278635861, 902395685, 896061746, 820152496, 735676511, 823590218, 783455284, 726963222, 264238832, 234642039, 553733166, 934003466, 996874021, 701089705, 64518123, 311906857, 966193976, 183027545, 123178790, 376584078, 566768296, 110559825, 113225090, 294744658, 552479347, 50430503, 505970450, 902943670, 569024286, 924716818, 926294184, 521536010, 753329880, 365433909, 573032704, 631040776, 920620340, 129803188, 316673594, 991931916, 298275228, 861571353, 908061327, 905927623, 660303795, 264357542, 627994033, 387320686, 644853917, 59716024, 358997283, 646399246, 906992587, 958804642, 438802342, 402960731, 333215374, 499112242, 703144273, 84272422, 64279765, 834911839, 65884340, 828838070, 169971490, 812045020, 450031527, 768257878, 879666513, 351759276, 993244164, 102044417, 747060416, 998157798, 379776890, 130786058, 673668674, 901861190, 19661974, 209966186, 959519713, 784405710, 514749493, 845228835, 813249156, 627963045, 803781032, 408988559, 244063654, 113017032, 349551196, 886102365, 794111053, 257951391, 178797380, 598688206, 879276586, 24751076, 297479872, 283270622, 334225042, 218845081, 253605645, 94299670, 254484595, 661047011, 393203519, 723926514, 508231472, 586246039, 412893418, 550176180, 546046282, 117252519, 542244402, 333429535, 298359336, 922399879, 95121038, 605628108, 437716142, 364320915, 649356341, 509263547, 908838012, 534123262, 586456912, 171487373, 327937119, 95443280, 108950052, 751263299, 204560740, 942985312, 720842742, 164618259, 268436560, 418323862, 138097014, 336923533, 523102144, 191583605, 610219873, 907022101, 832105517, 866041233, 53462664, 588285270, 884886305, 261788837, 487070391, 326166270, 679854079, 527711497, 705422764, 123087942, 628944978, 203751044, 220054470, 45154028, 184029547, 886890351, 870603640, 270508898, 747521893, 814920149, 699644954, 972356759, 429635179, 418242937, 323092032, 436040887, 283357846, 380304967, 16214890, 237552788, 388132406, 891897266, 54128994, 647660653, 843456082, 984419693, 100043178, 283893990, 33756145, 627711187, 267399634, 976676715, 691458827, 985264394, 324662512, 687530586, 949658183, 766189733, 694306043, 755447547, 248187956, 977574514, 523026187, 475540919, 426571973, 764213911, 385467764, 364244654, 240664322, 522213575, 912765460, 600905238, 152723868, 590595602, 734474005, 996163141, 746805230, 532573161, 489109845, 347127663, 598166782, 769902465, 198840919, 481068029, 234542067, 920387094, 864255459, 828274079, 442870841, 141858880, 603882557, 77558380, 836789423, 624316351, 488838321, 279205715, 820672542, 449804961, 420333953, 691432914, 35053409, 102941324, 119043311, 185083685, 819293739, 713697593, 455988577, 4876281, 892906703, 457239572, 315998819, 783011132, 160821517, 629171711, 698477467, 337687049, 605192005, 77382360, 703527730, 277297745, 359038982, 914104139, 658154920, 492081770, 484307255, 302796981, 148478604, 775169310, 667303975, 959313300, 917701187, 148562083, 210352090, 626217599, 945015883, 710543134, 939074431, 325523457, 577183555, 942560225, 75730080, 711523446, 635633438, 168105511, 296971077, 687848331, 687748475, 352037246, 500478179, 775367279, 132184556, 173786431, 759800814, 408107070, 81341598, 669657930, 906479453, 901376421, 552978852, 647117144, 566214490, 320069188, 807215899, 781786813, 333305064, 974376278, 531383147, 381730159, 312995539, 592831843, 10072067, 695328369, 252402332, 639597500, 255165229, 797715658, 860976404, 386654985, 541467068, 912052151, 582076002, 671600109, 156645909, 199947497, 889515222, 508593627, 946077164, 369159304, 175092532, 172696022, 732310443, 170150250, 315017783, 988034364, 157839988, 801945276, 471314692, 620907268, 702054206, 856046470, 771424946, 979309613, 964631592, 992054302, 548709587, 881764633, 863068128, 435882412, 1852416, 164315172, 491957896, 788044514, 397498534, 680762352, 998744468, 822436132, 384826046, 5620569, 34353125, 153710568, 273875542, 135854696, 138966699, 445243932, 770762567, 166956041, 383440391, 59318132, 100353506, 923414871, 107618212, 523517719, 129748702, 717413290, 943278873, 168609636, 462437596, 93981904, 879689929, 623522731, 332674062, 107675078, 503350170, 420408437, 893046047, 617748031, 944003971, 668201338, 423982176, 252739019, 662555634, 211361393, 122831564, 794467997, 214752295, 659709420, 960772852, 501467766, 327316822, 431438403, 965273976, 576217216, 658267775, 665204375, 916332754, 742581083, 927306345, 327174909, 860088976, 476965288, 193653543, 23309650, 573830297, 90073358, 108106868, 25377088, 235735456, 216826611, 435424617, 814991996, 179543498, 15435028, 339627225, 688392641, 912712244, 736306177, 223813763, 937230393, 26193197, 800435677, 867683901, 476586230, 538712972, 251539801, 938588868, 749278949, 791831595, 565931546, 109341789, 480122053, 29134873, 394584186, 1445730, 297599239, 481011379, 50707396, 257574066, 117677697, 701293097, 906643824, 363523421, 364693331, 585241267, 104847617, 971640559, 466530289, 348834459, 892915326, 959568463, 962484035, 704810871, 879791457, 92065218, 91197459, 611322879, 173906089, 590907422, 491780867, 657742467, 275766352, 714829459, 246021763, 861380600, 185273487, 627757424, 991169442, 896747186, 874989408, 940128179, 107130827, 529364463, 886339571, 323612597, 669351565, 244667631, 711147423, 888069489, 810386388, 444037122, 810529196, 543606489, 167594281, 451785312, 70000250, 739382085, 596913228, 423665291, 866716583, 720126987, 252224767, 142518073, 977550432, 555799186, 91058852, 760572969, 161357030, 891828770, 6655443, 617438839, 484235838, 269142134, 833874929, 356527967, 776231571, 529819431, 884326244, 312485764, 838344573, 687999567, 836696831, 313829265, 110326339, 974925648, 956255573, 606864754, 372043752, 616354889, 448435351, 775272927, 692964231, 43516237, 325250388, 224477996, 475063511, 831884709, 70743865, 541543006, 292358299, 535266294, 659948340, 664627898, 53142386, 739801719, 606460217, 961914158, 191332276, 387203008, 397750259, 111833269, 243962527, 267060047, 319306591, 61608294, 563840708, 172989520, 7242417, 807143916, 125643393, 329733974, 786095262, 242481676, 563003378, 429453132, 222062050, 606204872, 212313453, 258875124, 160531296, 914535210, 988984797, 94142069, 597477091, 611761601, 578340510, 699397635, 534275242, 54276460, 551769811, 127590179, 852779743, 89243852, 960069743, 211319213, 460559998, 801426476, 325283407, 655340436, 825558121, 801876872, 930874439, 113375210, 905649598, 939602777, 612403731, 871979248, 755677349, 686174232, 791205623, 143599087, 787647267, 80733356, 899007344, 691152908, 214509185, 43803905, 810455755, 501567843, 897430196, 702502492, 349459595, 361298264, 795559208, 479416249, 446186735, 114998754, 798770877, 858526750, 853310892, 78547174, 641895942, 718663621, 872265761, 186882876, 326071555, 384473149, 882649147, 269862764, 194661254, 12757321, 626628351, 196432143, 479915780, 520252438, 246026292, 685544659, 294032334, 541607500, 880068714, 509320717, 681134976, 968008730, 33223756, 299981609, 701975447, 541705987, 797641114, 298944689, 727233460, 825740998, 749508682, 509643038, 208136873, 237300739, 371232536, 582688389, 575099407, 50754795, 663731682, 455945420, 393675836, 103182220, 967249877, 144741488, 242423436, 535324498, 629630384, 775572129, 524024243, 852144918, 695825377, 774986085, 974591567, 756165631, 258025996, 728557475, 136682845, 177858719, 260070327, 879295966, 503164547, 321018696, 659941725, 939691702, 278337218, 144780641, 962952600, 401992382, 307922801, 997651806, 70399502, 777332975, 407915225, 102836027, 251508777, 448496919, 382121097, 857641836, 179210187, 598077591, 979421303, 636311752, 258492197, 676574743, 712759359, 507091924, 441376310, 125497789, 550221479, 641226386, 448843600, 712092621, 779041174, 88389270, 881279749, 667616233, 917141349, 510061687, 314036313, 16586647, 415096765, 618916212, 209668628, 175802687, 457052152, 267936141, 789441161, 548049068, 545407340, 366721025, 173931187, 827021172, 634024038, 17692917, 667908623, 932881476, 662595357, 977537435, 836086199, 174067021, 275937452, 811282001, 118350161, 5322931, 958641017, 529732382, 128236388, 745220834, 325690647, 55958690, 97203653, 752041532, 622217053, 629900069, 950751916, 733723303, 956513129, 7907868, 541438757, 799296966, 986944809, 633859812, 494304765, 16554912, 679897361, 83316573, 17866320, 375358794, 336122645, 344179367, 478404039, 177672946, 558771145, 559577, 194874303, 340443655, 784337535, 421609301, 635755654, 379194589, 564788253, 919090518, 978893303, 417393740, 70419061, 672502643, 341858533, 554021501, 992479350, 199925032, 927009488, 440503682, 548852319, 897823599, 185157257, 796752211, 410108291, 175314778, 227928428, 558091605, 231408686, 314834951, 215832948, 475339558, 202673651, 405405586, 970798565, 559823603, 145576384, 183694740, 137643450, 638857338, 444682747, 441925413, 849856713, 840483936, 772921804, 439097456, 673541786, 652081022, 278141875, 606795047, 618201514, 234463000, 743306438, 559558853, 449499604, 653682753, 981015357, 532038782, 401022134, 436293158, 711373005, 510549040, 278746421, 165598794, 404706834, 80300914, 666319320, 498938346, 839459094, 858091942, 375510425, 58819998, 453646864, 512266131, 745576673, 738582559, 501819774, 609815977, 269248967, 723257163, 345316929, 533190455, 879156363, 871275594, 286580132, 226389380, 618211375, 50444353, 37008864, 497196712, 431927953, 287007658, 944926923, 398002342, 427745904, 897880282, 413228618, 69843500, 567839008, 25644904, 103004312, 692678476, 524557032, 560078779, 379815034, 991039148, 52059168, 393851503, 632372225, 206461319, 482639593, 664459007, 130411793, 794030187, 568381968, 903836573, 932333026, 402480283, 994983515, 930359407, 953290276, 478586455, 732264931, 481179807, 978630828, 408059644, 214974704, 747156890, 251227236, 38112193, 875772566, 43515470, 171801081, 446328520, 808474317, 718866866, 953870522, 661848417, 352244885, 947207427, 951214004, 538418310, 877025821, 559721137, 7228886, 684355936, 554703179, 901703587, 858465562, 256617271, 423635916, 454654210, 612217753, 892325828, 20559458, 302611046, 967805483, 961960960, 201567358, 242614457, 633248399, 379094921, 868977326, 708422348, 947869623, 672604054, 6446828, 88179527, 805388645, 677329900, 15651987, 648852228, 473229600, 783528682, 781290557, 690864122, 213567855, 717488052, 103662961, 860370530, 538237342, 345883821, 946084249, 723653106, 529065226, 551129738, 312797108, 518805624, 270225998, 34871024, 764011692, 948868441, 527132448, 473590338, 788366745, 884189515, 470861997, 220783209, 691421209, 59297726, 590599480, 994456381, 491168179, 517597160, 102725064, 83887658, 419889115, 730365644, 939355348, 554712596, 338704774, 805775136, 208963416, 450831248, 176925848, 300172088, 123407976, 983391596, 451300119, 71853921, 518828896, 62581166, 128081308, 989590415, 824614220, 412680904, 61377677, 524654150, 975331274, 486554354, 216911344, 348726246, 186506810, 747667201, 410153134, 901629515, 325508620, 308367977, 517868643, 73118853, 241744146, 379501625, 683379902, 117047358, 956184967, 717179501, 698554976, 169791067, 550332291, 331181916, 107759440, 982980276, 263149790, 586637722, 44119416, 461532420, 419061755, 711202727, 185056643, 599737747, 158683327, 758769154, 305004553, 595050187, 654417844, 81745168, 52727236, 981432108, 894187381, 455900713, 239558999, 177024491, 972782403, 692129605, 413343028, 719188459, 672063039, 724958193, 562562640, 556841811, 793129625, 363407536, 234635191, 324192313, 509423090, 367103293, 917475156, 16455836, 129223589, 407005545, 535910401, 40448684, 935403525, 629899030, 361726731, 678614049, 864371951, 528031093, 377494023, 171770081, 205014221, 596125236, 604814963, 43595962, 628379630, 862301476, 801188185, 507499080, 287994922, 632303504, 722196062, 873160048, 669354230, 11647510, 825426713, 682270082, 309409546, 144278710, 724142323, 835264214, 32402806, 371829099, 337915296, 240303033, 210389152, 968003680, 754739543, 621731936, 456985803, 9317204, 87755611, 110863501, 636503295, 358003208, 826308307, 844101178, 418134666, 306514828, 768088082, 745381186, 486807537, 431999794, 487169055, 786509654, 513986228, 133981400, 526772372, 486204303, 302109835, 813305258, 401356178, 57300504, 204221663, 950247615, 103973026, 25009885, 148691899, 627004598, 397519712, 840122292, 591760747, 188869017, 165051914, 487977904, 202753296, 524582812, 29855096, 237424047, 15012675, 312309348, 171069733, 622196327, 444567184, 668742741, 372267088, 696017488, 732756648, 816076129, 153908772, 890981861, 907866277, 194504781, 11740086, 60274378, 904106198, 202131772, 175066337, 991388360, 584317066, 963179613, 398430259, 353092873, 541909489, 401147621, 347518268, 535681605, 662066595, 672934042, 768581862, 200944880, 330738237, 761962514, 922740785, 765710842, 283582997, 149652225, 511514663, 315986010, 602501717, 414461739, 322233480, 839211546, 902709117, 579969092, 959629362, 882900643, 96247250, 302690537, 146278538, 286869891, 31829485, 875397916, 348447783, 829790434, 127727527, 41213231, 798416246, 264968258, 902223912, 628801250, 858811373, 757739461, 285810012, 368205443, 539974414, 483391630, 281754463, 935601390, 541043992, 884330520, 133731753, 936152308, 822079165, 749982410, 465350972, 25453918, 400760525, 999461851, 218482853, 60120526, 347296180, 295141487, 299465626, 385711015, 210669745, 2406984, 581461398, 316736126, 185508777, 785946804, 44382874, 364153762, 119932291, 449531271, 950812167, 640221454, 154498907, 411199600, 125170517, 958399459, 38852681, 430498337, 159357346, 553272429, 190270430, 506372995, 322647766, 24493640, 864967126, 557140536, 735242101, 233206806, 562604940, 609917295, 767982524, 175131199, 204017970, 228656675, 5968437, 790676845, 907371286, 376778287, 22503101, 941845307, 724046408, 432318378, 902864102, 837498007, 181608220, 835583359, 330665622, 28135972, 203681453, 188635450, 450526496, 975637366, 795804730, 595055172, 54788111, 376449267, 608718002, 92100690, 474937331, 72663143, 486087457, 254965026, 90601139, 540827028, 942456318, 516309593, 796203920, 813463719, 949107317, 196189261, 754736756, 21704855, 467075695, 509723251, 48553248, 195898949, 393846852, 630074826, 457640585, 779059529, 286912159, 174034155, 626514365, 417483310, 620994945, 645738224, 934700234, 53161576, 756906045, 960164109, 350152456, 995389655, 148735919, 345018851, 892339102, 282752334, 20109577, 844674620, 508695186, 355785954, 817728608, 610887938, 273019979, 327299331, 486225843, 701034576, 117324744, 372504065, 784051834, 49237352, 559975004, 517642902, 662451758, 315568959, 375088931, 72862305, 617918049, 315003345, 961432878, 622346229, 322532032, 627716689, 944159676, 592476203, 105363703, 306813613, 146035413, 654687315, 553803987, 508951543, 93643531, 610790152, 533072128, 519374868, 564851180, 383209221, 387801705, 231135326, 239174494, 656868544, 618739913, 747048269, 137378469, 291642319, 578122856, 345644903, 215303674, 633574869, 627455956, 101615137, 951459439, 858693982, 149047132, 585831876, 560873857, 675480432, 307727646, 988865255, 823044506, 414528567, 117505124, 750005946, 43758862, 619597098, 596284793, 50922465, 5016994, 980230395, 257499346, 32752845, 575268590, 59610119, 858348210, 360778691, 315087567, 562374336, 940801329, 130494738, 391568964, 949938361, 60563185, 764092671, 301283620, 720388956, 922180542, 5258144, 879056921, 864766825, 595574996, 993643527, 398279558, 91422758, 839461445, 507638893, 137552906, 38755041, 970621522, 398205125, 963346512, 292727734, 553999911, 247007502, 205107784, 960423102, 878302529, 805647546, 861820533, 29267418, 52875423, 957082154, 625136026, 230570210, 993549439, 941894834, 391629385, 895675980, 907738630, 891279331, 32434058, 247120356, 342420306, 51555521, 11692720, 371674013, 499468091, 237603582, 117802813, 830740863, 361224987, 172866755, 240390964, 663787922, 983257894, 827053225, 487398720, 527138164, 432837246, 131674771, 288879602, 923139386, 28041449, 312561358, 156906511, 272233322, 496632542, 916557813, 8349736, 628027020, 691561357, 585798449, 801549714, 915072552, 11912336, 992790565, 865703833, 830466290, 303330678, 881549796, 663354181, 48136280, 189276270, 591708726, 160875661, 876328276, 121224716, 538139109, 205726075, 152531397, 181543049, 604279424, 764405271, 223953415, 933045311, 562468955, 491417175, 422564755, 735592695, 643523627, 444012677, 420818224, 595191168, 521966112, 764586243, 830044124, 826661557, 669660053, 379316438, 256963316, 649261511, 862369214, 457851475, 762160804, 271773378, 646445289, 690099114, 363543151, 750620967, 354424578, 959015548, 168198264, 231724811, 999744020, 860055474, 77484536, 255259854, 76634582, 542112930, 351483049, 646603152, 814819977, 913435179, 915633398, 824602273, 99803957, 554319045, 77731927, 602053829, 259660713, 160866581, 255203539, 397169253, 859240739, 743925202, 556686610, 579271172, 414291464, 789548271, 22903334, 32321354, 962704255, 366218841, 925026268, 422797733, 234295107, 962264354, 801213261, 64060182, 904123601, 287857393, 397688485, 950812461, 401975829, 813030457, 591481434, 30398683, 257786959, 414466754, 288894077, 475674607, 771923640, 28414914, 896576196, 371958462, 756184522, 389310446, 814912651, 486525117, 51254943, 271551672, 532571204, 778303114, 259629248, 839258362, 506814498, 80175775, 299354503, 248144371, 107897492, 307485281, 536151419, 992783967, 119536128, 618772961, 573735382, 68376771, 929009955, 190198078, 406664648, 120958616, 930411300, 12825062, 799929704, 98803792, 668210754, 281800740, 350543835, 936421194, 780171618, 336642298, 256184150, 657044450, 773136581, 965444327, 64462146, 781634791, 774658068, 456072767, 127274676, 724416560, 321422816, 610113746, 56306914, 620009733, 749358889, 254355898, 264518737, 640805670, 76008684, 456012169, 855039523, 442214833, 538520294, 156298306, 279565961, 967876927, 32674137, 529176814, 204029607, 975609975, 896954772, 818089070, 335820263, 702295037, 502900714, 265050843, 530310505, 664159700, 495208196, 133522091, 167128728, 951711767, 278564631, 71253052, 41028593, 956391277, 905302486, 929532217, 434574728, 91171336, 713326744, 371506685, 58076832, 325881827, 539146852, 631525415, 398082841, 769095414, 719769996, 809861637, 611054037, 57613323, 261245203, 540649686, 236733429, 513086343, 806717299, 840775644, 575476850, 601943811, 896680266, 99017412, 578641053, 829169515, 847015214, 55908740, 376583650, 980542689, 181390577, 859986197, 603750545, 820690187, 112672210, 59493889, 575559677, 518009530, 549255776, 474524751, 963692666, 711136996, 795026360, 457209894, 77326721, 369703366, 506061066, 815841084, 566363680, 865130317, 148079996, 124881135, 870399768, 401930936, 848114597, 732807637, 17927393, 257996806, 264398390, 511061802, 201163752, 371791751, 651054853, 77410948, 259732365, 978756730, 190138255, 193081586, 309095450, 662205784, 615528682, 531271872, 5483725, 476634902, 511194148, 268097839, 736144998, 164214560, 562677792, 744956597, 95504510, 856417102, 887353596, 720262100, 7101052, 931410837, 689192376, 873118600, 289035009, 572369519, 573196592, 502578508, 735678857, 180278090, 292857590, 460098863, 284382440, 252357516, 705435254, 162847964, 78993972, 77126617, 461958120, 519900658, 639592151, 277380959, 527664356, 37969883, 610384187, 413777241, 939805343, 180042752, 181122547, 998775649, 254741866, 676201257, 767889369, 705955164, 226095289, 90322618, 695258205, 644011525, 59712963, 113469249, 606590453, 501458370, 963041882, 271876898, 378416906, 921264282, 282573482, 827427078, 73439649, 701127856, 874855383, 590961220, 149075962, 108630392, 608641256, 980325616, 704314176, 425246883, 939090032, 168376682, 597197365, 178991549, 628886170, 343596401, 126337709, 7554571, 112589084, 359007918, 246062491, 862866068, 114089506, 35421084, 595876665, 924477932, 214871049, 255342658, 39999061, 814415810, 295511812, 265017874, 725436780, 427021105, 139580018, 483380461, 81139115, 549073676, 382012034, 921445713, 661407367, 902102304, 591976665, 362790181, 179734096, 121300279, 966108470, 841593118, 153523298, 976621106, 693716854, 276118911, 526954575, 347892488, 134651309, 20416077, 437878487, 785804111, 756146831, 124836582, 96705858, 494595338, 194702129, 775107815, 226316839, 215730521, 664039810, 861353363, 183041380, 912173215, 34879296, 892273486, 282400367, 517723204, 42605110, 276057963, 548542528, 374633107, 978742692, 195514101, 330197273, 573749270, 125368457, 396715888, 725550057, 736915551, 994267569, 483756828, 477596342, 479444396, 40486610, 292056139, 721502610, 517608918, 682820634, 471078031, 631036730, 840823854, 352702906, 59526453, 14545521, 302520091, 174521734, 452009463, 977065192, 743564918, 499026713, 460275772, 972286054, 603679568, 736793751, 489242143, 307450185, 955919945, 320139247, 908186758, 404584874, 522759903, 248479111, 793561280, 143893372, 594433061, 946316841, 253289561, 736846032, 442935635, 62058915, 498949640, 127907058, 697112436, 809093559, 497834387, 984408426, 600948562, 192023813, 202233679, 192921193, 406215458, 480617311, 455073941, 45605782, 780842075, 164715106, 841010608, 861443493, 316857479, 366216857, 809527122, 11470977, 730411431, 970280338, 266301363, 263241352, 873537252, 6077464, 983727980, 521156667, 231978387, 105692871, 706180450, 695777432, 189319175, 861750585, 16352268, 497474279, 258577967, 578037511, 710213063, 205769460, 334414012, 255845719, 918882547, 816769047, 709325505, 797952467, 533798067, 731811428, 255935108, 249723484, 793757932, 677682358, 358832579, 274966374, 94727662, 382865002, 69803861, 666826737, 54272767, 537198865, 233173019, 595428530, 592013288, 226278179, 581275474, 746732190, 781592446, 817827649, 368060376, 650567824, 847504534, 51738770, 94597894, 637981032, 694493056, 422959088, 460599721, 157215362, 672275103, 983928719, 943706205, 69591292, 952986554, 372214911, 911774341, 995092635, 117802691, 141725951, 891298644, 234637300, 926751332, 414698587, 843349266, 382262656, 866782419, 55889861, 517910798, 941426939, 203009710, 456957282, 251244144, 784114946, 247350462, 128720747, 679408113, 755255895, 644340526, 560691636, 89584655, 33871593, 973209354, 835296607, 642305236, 425250749, 954190097, 33952287, 471328863, 702950817, 107855375, 890293587, 639385460, 333957130, 771289246, 471681815, 533086663, 119987395, 683817348, 219217039, 748668964, 995212213, 208403339, 156855171, 576549959, 238744229, 920795341, 351159002, 813739772, 985078560, 438343227, 603562276, 934070811, 420400527, 774930695, 758798996, 851545351, 48928959, 997376116, 606403486, 256516825, 68850457, 354788115, 471515700, 426292710, 884616058, 119917684, 784698588, 301726768, 349335280, 398638442, 655375503, 903944328, 669734964, 250037089, 911777200, 639332410, 551410025, 791667505, 603998633, 78239619, 209128864, 655831219, 5043918, 304957607, 550534882, 576670288, 888484262, 799119897, 210937734, 160027237, 223239315, 508435028, 771802922, 401115999, 328444905, 437817055, 560049792, 461768353, 451492661, 379788286, 811216722, 670740185, 279005274, 80182467, 627159416, 859393261, 424865080, 652014790, 93659125, 149769258, 356105623, 548495026, 814155731, 760595503, 111058190, 110655435, 607424794, 460530526, 887888937, 120172909, 419419781, 135671669, 975010152, 168875433, 492806129, 377242073, 740309765, 804749648, 207632229, 389707995, 532845444, 277803518, 176432029, 49836901, 698787384, 747108481, 895496364, 304798001, 134586559, 274990157, 479681769, 632605384, 258587637, 973626290, 124429481, 893130965, 454248526, 284590651, 571581398, 824288374, 410763591, 828535513, 202505648, 727415352, 169719909, 227253972, 501754114, 987357642, 477823866, 468272496, 518544315, 410954317, 47537949, 533792240, 436697554, 818805982, 453136928, 598579543, 494105029, 600796109, 972457429, 293862581, 747560030, 888382886, 458566653, 258874668, 456627482, 375014693, 324096660, 633836940, 440434490, 868729782, 302243493, 139908389, 576203677, 647551244, 522393231, 895388027, 345256188, 23417286, 489928795, 817085884, 746545209, 654329433, 770638836, 808020201, 927038168, 215487305, 579717611, 607039030, 575417823, 227622358, 303900789, 769375927, 971496213, 289770230, 436033357, 518817680, 509825334, 651660491, 728373804, 666374795, 393888885, 872659877, 974071296, 691766445, 575175949, 429804200, 232455844, 801897623, 117256747, 842636587, 175690347, 557679644, 189052079, 552962276, 524062649, 97889546, 902449314, 301032276, 486948332, 90955054, 869183447, 788815559, 730854370, 400592285, 216540251, 709043204, 930072590, 156780989, 29576710, 230575816, 146602223, 364797828, 814884376, 797309327, 237629030, 293477716, 360775756, 63665792, 873142416, 389826062, 960679113, 256301651, 508840116, 708479237, 273061405, 771145108, 159355675, 499448954, 243573910, 607861145, 645973778, 231783828, 141515968, 776087307, 266841542, 300112388, 814061483, 813729892, 383286466, 769370420, 377014219, 260208484, 957069003, 766118946, 991633449, 680644149, 782789191, 652053257, 296783991, 234416091, 809458434, 711416567, 85425245, 483271535, 978388468, 714571462, 760554747, 805069905, 5606514, 89244345, 82346900, 637028448, 722314143, 982816547, 99803234, 44622874, 194500949, 928970600, 293292358, 550093273, 250007047, 928237002, 756671694, 534300462, 32646962, 838939734, 712556580, 613508750, 94874004, 487271893, 990167259, 102121266, 826956466, 472115392, 227764930, 59550664, 374949125, 141692069, 906150732, 36267737, 835630387, 285807370, 835300667, 827126375, 173469168, 307528119, 113234152, 800552292, 942300485, 56669459, 591643316, 531187705, 805442367, 844302203, 224892316, 349930384, 775314954, 454643684, 608521508, 778942650, 776476991, 938214193, 744290280, 604862014, 547109464, 898406584, 393518465, 995087164, 663268465, 262112309, 363754020, 477473771, 398464182, 720396620, 851560091, 271692803, 573013419, 470149433, 680655532, 104818721, 164364568, 573771236, 897132771, 748505643, 368798699, 377892031, 567130, 55859335, 692738346, 584314050, 876595508, 108783381, 387271084, 982932212, 892641066, 201987154, 397295112, 753755474, 305483726, 364343177, 545186164, 548266634, 976890532, 962690011, 118804492, 448126614, 944830570, 56547954, 337604248, 956231830, 660089070, 384869801, 477971664, 95318411, 164393552, 869821784, 925108665, 359903576, 4849009, 754045892, 227184540, 836495952, 805809058, 4679196, 464770701, 730079138, 895019447, 81199570, 244273753, 83659996, 840433872, 314829498, 169279104, 395576775, 989592780, 687782566, 520648062, 268744013, 46448012, 931745978, 90221225, 525028094, 774970259, 843835828, 693364703, 820224577, 596913921, 522466403, 439020277, 180925344, 626438788, 863946873, 84505559, 358539491, 267999778, 450362962, 237317920, 546261134, 645033897, 388325504, 34205937, 810267591, 798891251, 778468690, 715785097, 888035575, 914325868, 427653155, 780911249, 637458334, 293346522, 930873792, 679875871, 275977736, 629010489, 368049440, 495598221, 122370223, 358307834, 112971499, 643379955, 50679170, 116665544, 661946540, 50229316, 573484163, 415394339, 336993480, 365511242, 16035553, 718892172, 488897489, 109822658, 545258157, 147854984, 178387432, 930568030, 159055667, 253487834, 750616009, 757846358, 257208663, 934419161, 689767548, 483186660, 722185861, 585310325, 126315604, 2583880, 359631844, 186682051, 718202108, 980012495, 766486654, 387306634, 911209278, 735544321, 320820227, 208071328, 704275644, 398507040, 40411739, 263186021, 946349834, 330641455, 290916211, 689824446, 754870696, 341722598, 146037384, 546654725, 366997915, 502349425, 568407446, 284980915, 143880057, 934685262, 705491185, 141487753, 321186801, 266271454, 185181335, 857189647, 560755103, 127699290, 238950430, 952635620, 968198655, 302041780, 291592258, 64530486, 576218945, 449676918, 137280061, 657165710, 662865107, 637538543, 459906301, 759821104, 315543270, 587318215, 333820907, 713500128, 910901919, 449244971, 293674973, 705383583, 265175961, 36118566, 199134601, 422561856, 660621343, 718166710, 860952834, 868949805, 491702025, 621053336, 584301808, 315615171, 111695361, 344729624, 314257027, 141652065, 18646987, 912206868, 967684290, 297802971, 17181104, 68474486, 580122736, 5969378, 521906999, 677061894, 421987951, 903303563, 137235517, 165624820, 464948645, 166895181, 943939806, 834673676, 948286049, 17758899, 532942141, 312576708, 508548860, 991803699, 606036366, 862857769, 142758377, 646305224, 296620679, 9500210, 622921512, 758453611, 965289795, 834533157, 361979435, 542251335, 630634504, 890822267, 165983170, 583346324, 855938726, 733250840, 753983179, 488741817, 593290547, 825117013, 593738708, 517456207, 146427374, 728712280, 863558124, 352348641, 385656737, 551001005, 438611489, 922188678, 123121348, 282342986, 342538182, 215668537, 101223111, 945671168, 164490157, 737381402, 251465805, 624666322, 964714615, 362587115, 585722448, 789016579, 916401902, 184415571, 42043198, 400959678, 190056902, 515590997, 714641854, 863817663, 137922231, 644552466, 427273246, 75534268, 655846160, 622726664, 972001775, 226570986, 264525915, 787612814, 182478617, 438748550, 516735491, 879927395, 788557710, 804793328, 45798591, 267188480, 294993046, 708936586, 891149355, 780225822, 366454319, 645568883, 481469336, 742061754, 759101867, 353758339, 960252966, 52443770, 652418954, 461299219, 339018950, 498385635, 660473693, 375019357, 517510871, 577584317, 321504794, 821546748, 222442344, 322733018, 541437927, 997940056, 190125245, 994650878, 183480572, 252822170, 212988660, 659723836, 660076136, 563708746, 716546319, 560616528, 552352722, 293873851, 872432692, 859324936, 377847974, 931864878, 607892107, 176540761, 452427134, 51293411, 508209391, 98668425, 83779691, 317840737, 708736647, 982351450, 610395582, 917950956, 769592638, 485224719, 226449750, 227559115, 509630142, 961868940, 694963042, 720780348, 480890342, 630699963, 210700043, 428792767, 194280778, 562631381, 913921988, 173082321, 926120386, 29632022, 635579872, 52068516, 54965636, 182816115, 541031348, 525016971, 102128987, 148062078, 123179108, 473539399, 27869688, 855085227, 479247596, 734783130, 737145052, 210784858, 904167620, 412422412, 106903888, 345246844, 976783385, 900389199, 859028698, 961420601, 854734922, 859690130, 772586926, 69001700, 30639881, 653668664, 657206039, 44443131, 741944224, 921055394, 112715683, 834456051, 657287390, 1030658, 391822988, 505533534, 327761673, 989395665, 816649256, 296678881, 614965122, 455946144, 523614012, 449460252, 104496629, 348140360, 283946882, 736151536, 466554474, 368246523, 587883870, 136153616, 797453832, 319435921, 596073109, 989242815, 919164101, 775163847, 383667661, 381073960, 370477531, 287393946, 370492750, 559398844, 339245000, 858643741, 497028477, 64836380, 279140607, 47796429, 504027632, 990135795, 621238694, 850632490, 937715798, 838669212, 767588179, 95325395, 570296361, 811002509, 178258960, 259017281, 725171311, 422049758, 848676516, 514078262, 606801302, 595768936, 609926199, 615626472, 587892303, 456765476, 115902432, 843189920, 552435087, 13990796, 199540635, 92207234, 569923587, 132524807, 327829504, 356239049, 969722812, 626877747, 500975107, 816065654, 364273931, 546770134, 942002419, 330951136, 605083591, 657612912, 734665795, 204218708, 245721612, 287327962, 535510252, 530058540, 166694063, 735748306, 816830816, 524906400, 334980804, 550643022, 41789410, 702410642, 48230091, 954255156, 465149796, 167643298, 52438898, 190867379, 410780391, 731599185, 4090987, 560010343, 90027553, 743166011, 574749040, 34055007, 470931080, 622407903, 640747350, 993308285, 887609471, 599434895, 973691677, 394642226, 48590054, 865284653, 774751435, 440313776, 574652083, 108370211, 398026364, 724495658, 469573485, 799251033, 505507372, 156655341, 892118705, 57668409, 420791399, 131473314, 946664708, 240247861, 816019097, 353183837, 821950715, 288132308, 71470263, 947224665, 512004800, 209325625, 732840130, 897771831, 750002142, 800261464, 66155885, 218811119, 742841669, 957339326, 44007707, 996528305, 820915345, 737741325, 137834248, 733127788, 808904015, 442408401, 362150040, 278050636, 607110708, 339149538, 309745923, 348145844, 893260856, 986886650, 301631738, 460686593, 361080017, 449552964, 882513151, 455196565, 661645634, 756748966, 290731437, 514858960, 300104694, 323475811, 553196688, 584041730, 193205293, 965926351, 814857170, 699872286, 437647557, 402690916, 694086813, 107793168, 895173665, 433048522, 474078035, 973636183, 229390083, 492427246, 590684709, 483698619, 2940872, 959885270, 566203366, 330891852, 637761937, 883882686, 486972064, 81865364, 568491113, 925870821, 87567649, 454589664, 154114431, 73040788, 180454152, 927251905, 897183620, 834516102, 220089923, 766477533, 369094913, 548405457, 953417908, 506514986, 322681457, 290704619, 284344000, 616508682, 392277935, 125020264, 371732499, 386665706, 486053502, 513920805, 739873022, 949758922, 727035544, 103583570, 781045231, 153547052, 848798218, 672111278, 646637583, 71495993, 715327297, 994571871, 271547140, 469756028, 913229707, 966210041, 424682353, 678531305, 700147971, 757377165, 218249312, 44967346, 216718328, 616834613, 181268831, 694039728, 520468977, 78929261, 853274255, 768767094, 454187051, 986193840, 32884857, 980076344, 115443135, 487807666, 812450272, 565501521, 605597612, 751533555, 137399182, 244259858, 435047161, 10334748, 587368167, 92590756, 529758255, 140794966, 581810281, 86799375, 942139969, 913997089, 38282758, 598810991, 601484062, 456250421, 568408096, 67309113, 338233663, 855831951, 351425551, 217983886, 835249893, 668740987, 437989023, 503911336, 24796162, 885742192, 79565977, 332874901, 825458177, 843138969, 864621720, 249434941, 405504075, 641360433, 556431557, 143843593, 47154079, 777801356, 689022128, 963975553, 327329945, 200992624, 491024909, 727536872, 728000602, 61106224, 511853470, 881791636, 195433727, 393674581, 543638065, 493004211, 161704992, 127743858, 667176728, 524707177, 807156591, 235309762, 963136467, 988589347, 852876491, 701177983, 177596229, 117703927, 419263978, 746070350, 558270435, 536163174, 87589174, 981426978, 49455715, 986877700, 88223199, 83738671, 199659149, 106733555, 582417773, 594415209, 760784600, 103284846, 864235389, 207237794, 217923570, 821983783, 134546820, 353129739, 929882432, 690300989, 324719993, 328883082, 13746328, 471165318, 287086367, 513691746, 437530423, 587845894, 284308926, 966066322, 279064725, 491572914, 390063670, 532650211, 236612416, 245926934, 18340177, 877228155, 76934445, 494436288, 680976578, 12045170, 173397696, 599143851, 361072550, 100743272, 332276997, 955747935, 136017041, 300299861, 714948254, 263586685, 341215577, 957250478, 876913290, 432466953, 728975655, 267820788, 499963870, 134998110, 712361844, 199045113, 298604341, 730764857, 260533569, 119526652, 879167998, 916434306, 942193301, 558615004, 606366914, 366418056, 890078634, 713417995, 552822429, 655676002, 414804518, 37102261, 369111888, 474967573, 447660312, 214142129, 696735527, 814375121, 927811638, 354498746, 758779660, 639832378, 303915138, 495413469, 574847282, 167424056, 71214294, 500414700, 777006835, 243300839, 935847888, 145730481, 172734650, 39017296, 876666152, 746332723, 806658767, 896997163, 838460812, 103416099, 383415651, 893213433, 55047005, 532995547, 204287553, 277781145, 706176394, 773751978, 64899558, 949394114, 508809501, 854448001, 813963175, 922797266, 241783520, 235590469, 226800975, 52547638, 123917812, 579284143, 958690193, 88371153, 10417644, 891180239, 788320487, 890974927, 345617698, 59420416, 902090029, 846792897, 684971278, 922078133, 547383795, 445917752, 383384050, 38741254, 457076274, 331404732, 935438575, 708507382, 436637561, 483930891, 996695440, 843728261, 705667485, 335045334, 277682081, 283894858, 621651814, 90449228, 594675746, 934180408, 755819595, 573511866, 686671126, 260020919, 749034870, 46080191, 342769672, 313267974, 602768265, 536958821, 907927067, 931328295, 184142026, 338972824, 859754790, 437933188, 454211339, 343944979, 592958888, 519850967, 827699978, 258783432, 138189220, 896654221, 226745110, 751668198, 820266906, 512154911, 531086970, 694348865, 457217139, 415801097, 154851079, 271496429, 721467028, 4009457, 285929886, 26459165, 621466951, 361878799, 960729774, 570912474, 984679741, 656832130, 855256996, 268645139, 822596348, 797811791, 834906976, 22578204, 53869663, 929741575, 866605515, 298103852, 185531472, 519375508, 28853711, 918443336, 561466670, 67166864, 18280984, 279212417, 850917127, 701814014, 344982817, 381320196, 709213328, 329661992, 105559151, 671830958, 387113613, 437747026, 285524025, 839862668, 134624770, 337700827, 618648328, 718834909, 742766986, 826440392, 700345807, 360644947, 500509514, 82218480, 487670122, 646434478, 330708869, 482586566, 959210168, 319201610, 216214230, 989266089, 539759718, 73225226, 904608781, 866799379, 982850385, 134457606, 459327325, 989462680, 587659454, 975494678, 761459927, 187016454, 946111401, 888821243, 124123082, 333148722, 104195231, 319684656, 790507598, 792222779, 717337095, 506269311, 864851969, 240788519, 248653387, 308504051, 65070303, 541504558, 10030380, 476479826, 836841388, 576749791, 876593120, 775082017, 435743404, 347455387, 765316989, 662251847, 638101005, 732563578, 985339678, 289011452, 683567993, 346918044, 85472402, 304323264, 556148718, 261055790, 656122327, 62706042, 91778777, 89311981, 532971522, 350745306, 562950254, 957395778, 586990738, 274543776, 568769397, 939922962, 110094579, 484172321, 521629636, 523533664, 900927463, 612231754, 947982486, 631866042, 855837424, 781869579, 926943017, 430937806, 182545105, 390563727, 801778313, 94278497, 255079206, 645648150, 371267391, 401440945, 789881304, 904538395, 978648759, 990284689, 950426428, 785255009, 662086654, 356533504, 816800111, 749733249, 377640738, 583049345, 165559349, 512788269, 95181556, 555190553, 541981978, 764062927, 220477404, 830984271, 901802749, 812692925, 731530637, 219482532, 547309746, 869905491, 514100743, 545493654, 452629557, 817790865, 936076829, 491292902, 912749961, 407805157, 36386195, 634525154, 900165276, 289208890, 341986719, 839976105, 338336278, 297141907, 620442273, 350442992, 711428948, 421093578, 211296844, 993958731, 386197124, 229721091, 870541834, 332399425, 252391390, 397901505, 491570309, 141325682, 324660688, 427818217, 944224535, 290502497, 480229494, 682790976, 948717696, 970937663, 843713231, 343634305, 5289188, 680320070, 842424097, 680023642, 10553223, 480858303, 387690537, 406301966, 974946471, 474699655, 631179737, 443653760, 412774966, 942368672, 93078662, 408506990, 90303341, 823637012, 444094614, 376478343, 191211624, 766028162, 758443546, 633946261, 732763867, 914969982, 170254950, 875670581, 259407377, 197005524, 924732459, 331465040, 174585452, 850187929, 642583851, 190937653, 327617814, 351644234, 350665663, 18012520, 665629414, 157141786, 837570430, 320589151, 768447714, 654726747, 659985400, 969972419, 143478692, 387313909, 74102244, 250553629, 824714692, 94352337, 560146761, 125585848, 264731637, 712491885, 362919678, 639941958, 646865384, 702063458, 426980542, 275757228, 263347417, 111922005, 36370637, 70274384, 505487588, 184694926, 116826758, 81259008, 473865152, 258407673, 5239706, 847230732, 750640496, 163802180, 223292447, 139649048, 597209009, 305186999, 596195655, 877281499, 173670745, 386262522, 489809994, 169463312, 320209396, 548250984, 802833698, 779547182, 579746694, 656897970, 253046105, 797987449, 389632532, 753389466, 880779712, 318696169, 325021236, 773420027, 203058257, 18285210, 19901511, 390740257, 703324244, 287869108, 880281290, 220847063, 116761709, 676247381, 35267507, 412246804, 662230323, 853546490, 979663972, 959307920, 898348754, 210591657, 540311085, 300080766, 98414606, 33718052, 987350769, 64379484, 94802310, 44792219, 439206017, 803898137, 80201635, 327216841, 954220684, 361994331, 273451076, 398153703, 363469629, 935566376, 528525645, 300682946, 454776975, 874358242, 515452753, 547372499, 119880058, 743023054, 851929797, 241543307, 487342339, 599609882, 721813957, 743872900, 130909806, 196625989, 932199440, 973402166, 795950025, 398277281, 475101519, 220365916, 629779594, 502544780, 727353428, 571292659, 452911958, 723210497, 318772155, 793792894, 90698849, 904067235, 633700388, 229857094, 790302448, 51959922, 113667129, 366229834, 428985913, 587736299, 559694602, 129763549, 788423154, 134739344, 670897303, 402328038, 41038782, 895008532, 531630217, 788457079, 353247597, 855693687, 161664222, 588557248, 800105051, 763901120, 636603771, 492370667, 863953769, 335958112, 278297477, 723068632, 845380677, 995931973, 401432027, 86743051, 825539280, 532144523, 715947996, 880407972, 793180015, 186842235, 848652786, 584601132, 322690467, 897821662, 46844859, 870853527, 962934256, 491457563, 335664587, 978439816, 124712548, 460203135, 964682432, 69428616, 554256346, 663348144, 263224793, 970321471, 626841717, 585433770, 867858890, 22867142, 817135209, 668438505, 754678274, 178124003, 612963047, 699839953, 149343915, 2518386, 629752686, 142109997, 287071359, 732610742, 328078194, 87813798, 74292482, 648297702, 860151823, 578530718, 599386602, 210364557, 167760569, 192996258, 990574342, 267310927, 627839069, 192542214, 311783652, 970970736, 916418145, 974361422, 240867096, 705843110, 42918927, 260834697, 454697697, 355405484, 479460147, 479465952, 762583144, 313215430, 415599026, 29636153, 410040115, 454026692, 177740335, 385167316, 10701418, 860944331, 29594624, 849179549, 5234398, 140915240, 293235470, 752662454, 546863896, 300856168, 901638585, 680570223, 22436454, 180438563, 231338089, 945230831, 622349329, 272079581, 623943469, 192328261, 390626461, 242140403, 37537807, 483507012, 630631593, 176694346, 510422597, 91909954, 186974170, 167659547, 290908763, 710501960, 40668161, 393446215, 309267020, 478887059, 203148881, 442601084, 215339550, 698978993, 653260703, 566072046, 240084403, 110051077, 12800240, 4313193, 883806191, 648022827, 199239797, 703856470, 211180792, 831715398, 609687999, 579557894, 665258180, 209104273, 250260460, 406868379, 622512573, 848343546, 10994522, 203190025, 657919345, 80644087, 965552206, 220424094, 884065657, 106842894, 246052984, 287824943, 341755742, 748926733, 131683691, 559359465, 143657816, 727286521, 438985687, 685059618, 523712231, 54444965, 268061549, 669189596, 919948475, 10925329, 579635523, 666178541, 527492162, 828532198, 43945238, 756208569, 94941958, 237156632, 434187287, 183572812, 587996323, 222888155, 723877676, 206736677, 54940178, 986580153, 481470471, 774174917, 24999926, 762946222, 399281064, 149479316, 639259336, 111127657, 440673702, 624913127, 447901006, 444190377, 281796848, 826093934, 896304359, 367430493, 50131456, 611594935, 927991976, 435385715, 201497913, 351436582, 421448861, 487440495, 679839673, 393678096, 438704551, 381325508, 287169722, 237903995, 595222517, 310172320, 552771229, 330909376, 88650017, 172490692, 41399368, 439594118, 535301850, 356431300, 400705498, 873822525, 922210872, 759218545, 438576294, 888340185, 181079470, 460967033, 588974543, 133818731, 960904505, 166002680, 694292641, 73554581, 471365694, 587603773, 104766887, 329834426, 345651442, 121478764, 616859833, 358149204, 929207717, 848664033, 80379821, 698719520, 435980760, 241682195, 480644775, 99954636, 571424101, 189841044, 783806869, 780927512, 485914986, 871856020, 562602171, 727557040, 300823292, 128994397, 942660645, 696814648, 776446798, 394806849, 699966813, 870273618, 253405396, 61526336, 847171887, 317939955, 807189858, 326213245, 935265200, 136477125, 615984552, 558988609, 825904843, 996989454, 166345195, 338763009, 774860209, 470599328, 736143068, 456125161, 190721065, 642756197, 648538105, 769103356, 941656308, 775923173, 638351277, 41068850, 754832028, 489884274, 611748130, 422911874, 157604088, 760804465, 446420275, 629336200, 410630443, 5265606, 929240986, 72875215, 501287494, 415588899, 891179687, 821601673, 488123556, 890322956, 192782033, 986138890, 954064636, 637713465, 229730569, 643012900, 83715858, 934535652, 229679791, 231405231, 834837539, 650892426, 826041207, 480133028, 94085576, 630623008, 584342159, 281838339, 704775720, 427620282, 170858497, 391476850, 448879500, 582546058, 383978145, 968746288, 433654178, 716129917, 710758093, 58530496, 357952895, 708577626, 794201013, 293295188, 734214003, 6982465, 779040325, 406734072, 839745480, 76710636, 36719612, 736817796, 157971575, 753570076, 721525527, 938872220, 235491071, 311900255, 992637244, 571911982, 831519387, 703174812, 526163873, 460787023, 661670129, 63337743, 868632562, 877521026, 684096410, 955394432, 435616721, 438442308, 265485524, 312779316, 216382548, 847323780, 619004355, 728448408, 877960851, 687995767, 314530507, 744533234, 350580413, 568958864, 211959544, 506924665, 781093571, 825444681, 651590644, 155166099, 660855920, 945833256, 427493200, 931789237, 9990374, 927504813, 169759111, 653739003, 227274636, 589835541, 211097203, 800195886, 123370551, 206571626, 861813933, 458018878, 335361380, 942942077, 913315986, 222762739, 734169259, 404032353, 296161952, 453563930, 571301492, 277768389, 292913668, 852379827, 347178776, 992846086, 871177359, 282076557, 112018226, 784279879, 316897027, 364259228, 339200620, 645757912, 491593549, 454667804, 950191275, 524797093, 921106395, 578182586, 916698224, 505061888, 484948266, 159557474, 171812207, 778384706, 804760988, 94741258, 152653137, 35544750, 877025065, 588580548, 451725442, 789546873, 818574586, 88321255, 71441800, 404960023, 624030855, 847884267, 641623047, 742208344, 612975423, 364270633, 437080854, 487175359, 401274220, 612376426, 853995062, 797862558, 764201968, 27297369, 82215489, 100297733, 844447871, 360720329, 490222650, 505051968, 436602253, 317332571, 730757435, 106997514, 362527989, 623750056, 803900527, 995381898, 600104756, 121512467, 993724939, 102976123, 787292490, 148233709, 239475988, 671264854, 415489565, 605253474, 447857891, 2219245, 656880787, 742089881, 305152293, 931320391, 849585608, 916043366, 186969269, 874305529, 440293359, 890459180, 732586442, 430762872, 249858324, 133568971, 572187431, 649502665, 411459312, 993656390, 91453112, 196036183, 195021753, 999031859, 409583625, 476358163, 672179547, 175016017, 825731741, 607640606, 781859762, 259518930, 957912271, 635781340, 536115403, 737063649, 355202725, 552974103, 197846915, 408639680, 120653890, 614131033, 666669878, 246916045, 835700614, 331865146, 41452484, 97229661, 169412140, 632170769, 119358299, 577269592, 125163135, 368206421, 858515173, 455716278, 590917187, 518749759, 283957093, 123141767, 40546500, 304286877, 354266919, 513167071, 910515800, 218199673, 51812111, 797831708, 668681237, 507456199, 304157501, 672445030, 388903091, 876963024, 282505389, 17306740, 90601224, 553276131, 588707280, 796014994, 291358826, 124275162, 195583900, 792895389, 778778076, 856157008, 140180858, 712167216, 422467075, 29575986, 226478964, 707512522, 121071829, 324921564, 326022464, 410002625, 233893416, 984911980, 541364462, 408798011, 372542713, 198625437, 869472544, 574528281, 463549977, 196436049, 13053924, 862776254, 663683181, 551082289, 434136458, 340811886, 896518822, 505177015, 582653457, 54714846, 740133752, 572002112, 578033377, 959956795, 715140026, 797708350, 441501270, 937197653, 945043904, 105096007, 640128986, 618344780, 318934313, 712810752, 902923108, 932096298, 554269433, 865429996, 235005481, 776740271, 62876935, 876416443, 844435101, 246980822, 820773320, 4620981, 686414928, 673693099, 262449609, 513164825, 17788565, 159086684, 912339533, 331844657, 136453624, 972860832, 970171661, 711536695, 569394284, 639149926, 366089639, 704674177, 189206381, 695020019, 80283969, 718652073, 169592022, 136939901, 903509771, 944364138, 364220656, 517418405, 563484263, 415108693, 188173487, 654527894, 913405866, 341834987, 257760674, 485821812, 989932748, 374023615, 4641799, 469158805, 198445864, 616872619, 109805196, 85266588, 491323228, 631471846, 178143869, 328665617, 994070327, 363748716, 893046339, 653958976, 888271743, 162903301, 505628034, 23148659, 672970526, 914903164, 444624047, 754132264, 350271105, 336374455, 567935516, 56379500, 867165002, 982734861, 687442667, 128513546, 396125699, 419058188, 288209085, 552515526, 64488965, 56408182, 513964508, 441504167, 929609672, 460875866, 98412256, 72048688, 80146100, 486688281, 944996192, 548593993, 148450290, 762900984, 520596545, 847476239, 901228027, 361605943, 649795019, 44956546, 494938176, 727471104, 401438214, 12000439, 693479624, 618424712, 189414454, 316462351, 561281076, 445222715, 389718447, 563726196, 305990171, 666399949, 281473508, 257517755, 868143122, 76126897, 388884355, 565852030, 982815755, 697803217, 386020416, 482960902, 36003782, 177782706, 639360955, 343461607, 407237584, 744811379, 377510793, 971985250, 123845867, 628346871, 317870596, 15324772, 622652538, 767579850, 836703909, 274243607, 245257216, 346080411, 554386104, 173661955, 469167672, 672775979, 805022944, 738033083, 953606753, 420932286, 387642314, 312927301, 544727408, 677043093, 235066183, 765563299, 737959455, 323829187, 649197178, 466591243, 354684893, 769553783, 600169867, 126015878, 912578930, 908448537, 751443548, 64782758, 869749742, 945858965, 927700649, 195417241, 366765425, 218342135, 271039684, 988678915, 808789847, 521403260, 270890023, 45653107, 143862138, 2223705, 596645047, 704579293, 426645733, 748929343, 963907799, 333849739, 628385925, 871798299, 10802346, 389788457, 304733795, 85386247, 263954563, 543076917, 987186194, 499994550, 396429660, 327317655, 750758453, 122170907, 15579994, 663173401, 624726230, 441148491, 309302989, 999118031, 410370784, 908356982, 141303645, 618170149, 472317022, 241883167, 238371076, 664974564, 53394948, 678061832, 303351365, 868060461, 992565092, 990392471, 458046846, 502966270, 449705735, 116401463, 205136196, 87634324, 85746580, 262474018, 420448325, 186333339, 932982329, 189084422, 410594036, 995620004, 446982214, 671093834, 248201801, 709997569, 914882005, 173031135, 104211755, 968777932, 706525446, 914254777, 500037702, 945603186, 246160970, 426090379, 93810342, 873721661, 47608883, 350073684, 930391855, 20505484, 473521925, 741943777, 700577479, 545082122, 500067972, 809122877, 258519285, 277282432, 634388242, 688136919, 834570421, 324274899, 683315881, 529665461, 164396073, 872361966, 848847433, 117964072, 964087346, 6899392, 499559785, 217669223, 215925404, 208045659, 788310054, 259989686, 412815360, 357681939, 46173613, 543224374, 601563008, 481129250, 625777457, 412273193, 730681536, 129564105, 540955803, 391248158, 402025095, 870994251, 650941623, 163531677, 281581809, 290497373, 311039079, 835997147, 170688431, 707937918, 975415534, 609505352, 334976265, 659500722, 303188853, 980736628, 659075906, 533836218, 343177901, 98318384, 29366025, 247807382, 227862183, 894981439, 722697201, 862061563, 333672420, 255789005, 202304538, 716984184, 917089510, 970320277, 340191772, 9221698, 395303667, 238814321, 400895588, 153179670, 44852915, 300914801, 878528211, 751439950, 576239034, 255276143, 426038180, 90277775, 189104000, 772565113, 602143145, 870039125, 806241687, 204959118, 327833340, 316039021, 582681407, 69222034, 126184959, 726011407, 462559737, 749454813, 601329495, 849012599, 213151497, 339217013, 219432479, 452840227, 273729228, 215765975, 806934334, 165620550, 995282090, 211246093, 888354728, 6314430, 248618352, 366566245, 793337195, 52818036, 353684178, 256898721, 493666787, 962005155, 964203500, 424335749, 213384055, 842343703, 599819385, 843686374, 905293137, 438930397, 173981573, 816728314, 553505623, 609857487, 9373195, 678019312, 443295117, 972061987, 607068663, 632822529, 923355218, 101761235, 707947968, 319813941, 356328224, 758940588, 298577398, 42554416, 70977550, 206655519, 85060775, 698921138, 736883120, 300404492, 640758591, 935624221, 242395287, 509990769, 988352101, 467405319, 459580032, 869053075, 570534108, 784340416, 670684445, 539659082, 475511678, 509162982, 382617474, 720372936, 45237078, 655872761, 321353419, 856388953, 121261650, 281719366, 913421592, 445751827, 704589003, 704893128, 198001747, 854779597, 420549944, 558896949, 676240151, 759183957, 408359777, 493508520, 652275421, 560410837, 354750505, 349537617, 746395884, 405735943, 358007310, 809616048, 781039384, 371834993, 104198767, 276952338, 307088821, 643719698, 990618857, 13404953, 237596345, 618047007, 775319289, 492430457, 667772680, 51952437, 41940865, 613111346, 797733445, 824155293, 403664499, 870427361, 706160105, 437981903, 504964852, 793568105, 48220953, 655736424, 146570431, 37611569, 679866402, 537860034, 633952930, 209877715, 40122823, 553518087, 286909798, 360305566, 421094346, 694207326, 379985769, 573202393, 226161456, 315233143, 988108041, 548209397, 975066640, 741539074, 638668207, 770160410, 704087737, 341088682, 755534729, 351084881, 910818124, 989363984, 511395510, 772943715, 142603367, 376859575, 777928205, 275029436, 418653835, 449371080, 983764714, 839116801, 84977498, 477225707, 630693092, 687758641, 600086242, 749925715, 408908055, 859463460, 661466904, 756192716, 251661025, 455407480, 44603931, 469177257, 522875425, 131387051, 905989876, 98735798, 297200979, 138846101, 791910679, 635195396, 618467862, 659032500, 682024102, 655550778, 283108417, 903365827, 841128239, 348472609, 529208124, 322164728, 670395204, 553672228, 485415686, 309463065, 684138469, 304083844, 357908813, 440162540, 315642098, 840253232, 532892884, 220502344, 32129853, 347925003, 660605797, 225671013, 953747600, 48084179, 558482137, 809720028, 685628676, 639427498, 368961935, 272128877, 712878510, 914862654, 254974920, 90279966, 486249988, 324486576, 826839267, 384048111, 739076839, 268255474, 273089648, 509276447, 669143066, 644293557, 26528681, 979578124, 78928151, 938023182, 416832254, 480230870, 286163681, 295090170, 70052976, 138096066, 707369237, 369900852, 678899437, 375011183, 842278746, 375350647, 803268912, 490289085, 840446510, 537227573, 892654654, 679585417, 928546065, 734571632, 53454473, 977385674, 847303289, 448190564, 443681451, 640187208, 53720483, 925473810, 250658583, 349474254, 990140522, 86543711, 369411292, 144457984, 18534454, 706889420, 794610970, 613541931, 730556536, 96983702, 588349004, 630819828, 336347364, 706249525, 966613524, 923984923, 341804860, 372292108, 845598165, 84123764, 208309347, 441774473, 525912301, 315908844, 194132762, 788475820, 835167295, 566153430, 751721252, 401229852, 674713168, 532353523, 77632469, 642557144, 222474304, 936269133, 980620551, 428307693, 972912007, 434124545, 265569450, 754071354, 821013607, 923385224, 706930216, 537089345, 527131211, 277860063, 779030207, 760311775, 167664254, 109406896, 147530909, 965998493, 11295779, 497098950, 198023184, 976790327, 448091509, 427427718, 481363051, 971733020, 36128915, 923120129, 333721952, 88035446, 827914485, 988179635, 526726868, 162618037, 60619333, 274347793, 765853082, 980816181, 953568509, 739845515, 434251687, 769931181, 39899148, 123869212, 158292324, 795439280, 172082555, 655787536, 977857732, 661113074, 139451207, 160621216, 759148103, 51555999, 831377257, 774586618, 649162478, 459557982, 859284046, 188717713, 421510700, 959386814, 95176103, 832818623, 912112832, 653614000, 89638957, 320014180, 66912471, 181249885, 808898497, 673604638, 872298954, 563251025, 339852237, 231947272, 695479339, 155377417, 423938064, 397378734, 32410785, 179375849, 240760980, 359999192, 287216312, 391948864, 820452175, 82233407, 774568344, 337526289, 173192770, 300828867, 287944772, 871122680, 638649166, 196554392, 695956301, 54999484, 917518491, 937567211, 545716316, 138619194, 835584064, 547288387, 708059858, 280742541, 913433716, 183716089, 981078052, 8726152, 750967409, 613587558, 710076379, 294691857, 396767116, 913506449, 931136742, 413229884, 908515463, 723621303, 112543123, 720887516, 777241552, 255030118, 571185080, 945038867, 637128357, 102206429, 603926348, 718045150, 305591271, 225068308, 361513931, 707512826, 288938289, 269116324, 210215062, 866133350, 493797150, 648616850, 346734378, 279473116, 370279094, 666118751, 482956918, 49970649, 355750819, 448616034, 16732616, 785118237, 193036058, 78500326, 318233721, 442330201, 897897564, 418727528, 351401602, 128021743, 64190729, 635752529, 599070910, 925561284, 191306219, 37824320, 678072264, 449659270, 212555109, 372162533, 145678700, 370293600, 408850479, 176344194, 642277157, 246278045, 504680212, 29008655, 331939794, 309837337, 331580007, 129809303, 175480622, 799266310, 100553564, 670870403, 895525316, 331632601, 763724207, 246754761, 538553245, 501153882, 62562321, 440716443, 272156734, 170558858, 706141076, 580089238, 658682815, 96117443, 417807388, 113519183, 639368537, 400065919, 657113965, 918310729, 662876057, 174769053, 335543604, 975822381, 109218837, 573834470, 574128206, 890693728, 321181888, 251494245, 662150082, 895869625, 537108936, 941137, 254314158, 17265292, 63202366, 171516380, 278945492, 600799293, 971190456, 577436146, 60436479, 403952264, 433851903, 920206922, 553285288, 767838428, 105254329, 496287479, 756037158, 119405828, 179922544, 715310173, 303679971, 914766439, 145281561, 259997846, 365532491, 528671550, 553135392, 918293895, 270358388, 36322026, 299934422, 138299178, 95741312, 87205708, 177431674, 86615803, 757453380, 337341203, 600489337, 934348391, 289474459, 348968837, 408591207, 659040188, 759517995, 27200229, 608850193, 614423387, 563721594, 377731843, 54650509, 48666057, 602552420, 655233191, 712757251, 542918264, 327288039, 417929882, 511761726, 746693635, 650671534, 360821194, 458627735, 647704766, 545536912, 811702407, 739227086, 252864723, 530843864, 308515308, 394990324, 39051726, 615455843, 878943541, 779435411, 182169202, 29296817, 678915540, 155426868, 484415306, 477515057, 794511607, 230518268, 539756100, 50760132, 539541287, 318722917, 162780350, 621766503, 994503625, 794215500, 876962645, 178698996, 379993525, 440274795, 971871029, 161818793, 891477292, 64229491, 926036098, 485339354, 987310144, 78657991, 301273978, 51511457, 493394108, 222501433, 859054619, 865818727, 796461111, 230461315, 24656447, 924645322, 406590413, 724435932, 199653864, 876886723, 189394896, 377978395, 639762163, 415206018, 366203807, 115857552, 730458041, 417002505, 641566156, 573077463, 661341281, 311057921, 568529171, 247714875, 829162231, 868271220, 637545156, 978885695, 468870551, 691210915, 371624664, 205240478, 243307141, 738556000, 75770446, 240541962, 879152038, 288829374, 297755714, 731086592, 647020745, 269814587, 281341075, 177287469, 397225143, 843875584, 10720423, 548349103, 281657632, 822684418, 256633901, 329054124, 860632519, 305183857, 211226059, 588908107, 576566499, 795428791, 74045673, 442064211, 985937886, 257301628, 867277608, 506150149, 627232805, 140575824, 821354131, 415763872, 551012563, 830602779, 954656899, 235717231, 115698213, 276987141, 28463431, 432763895, 455648027, 592791943, 795943793, 447882805, 299701804, 284635031, 95399554, 432693706, 499240800, 268042594, 377812909, 448726957, 812917528, 55268715, 406813457, 783379732, 110299831, 608777105, 325820356, 575875663, 345383077, 268581643, 664134519, 891704432, 33588181, 237555799, 823352862, 560579208, 634136911, 832456612, 777484516, 623750032, 980393779, 534540352, 469635270, 670771446, 989058021, 583251232, 231860007, 704645071, 75667327, 700877508, 220784493, 773207189, 401817434, 973950758, 276981912, 219804796, 112541903, 386676357, 390965775, 737358837, 675651234, 596160544, 545488026, 876472650, 31148164, 288604889, 588094112, 522178373, 971671429, 792141597, 731708545, 890402478, 599162114, 836535653, 835303135, 345310767, 284020826, 285725989, 180624172, 518100188, 400670717, 562634997, 133400078, 662057787, 655093699, 441965273, 603214694, 783210713, 854600952, 883285386, 90471009, 871603144, 705717285, 791150727, 3046974, 992291954, 265339517, 402100166, 932778872, 41246238, 651855194, 426351904, 236570599, 971421379, 536086636, 147164568, 877060831, 876520580, 267314609, 212163625, 855789240, 616502042, 57403665, 868403835, 779942405, 270147401, 767938764, 327881559, 952840016, 623046284, 489995535, 247398813, 633183728, 248132556, 645407077, 535234539, 797636359, 261955501, 795292490, 451685333, 661892131, 131261825, 934279728, 905389301, 91513155, 463540868, 557540286, 576933742, 603506184, 743236618, 389084373, 900174734, 788849873, 600455506, 637167962, 855976252, 314336436, 73901858, 355118786, 360679297, 264843971, 723716451, 465264849, 614440198, 8096358, 319401491, 26104038, 466391983, 789727267, 435801242, 82770876, 83636291, 902081376, 652624017, 776981435, 116612567, 768340398, 76492646, 828593660, 763965420, 769137942, 375499090, 502552588, 543774199, 373939520, 414108858, 666831108, 188107135, 784329079, 564860767, 626931349, 653167089, 235765231, 501561950, 916465243, 771524659, 12586771, 113777759, 21263503, 811295570, 741767401, 710077068, 839310816, 781958654, 91298905, 756030071, 179056601, 69998034, 162957762, 108200613, 470434275, 311020688, 594344597, 418713573, 295379432, 74544399, 187008632, 302760563, 622632187, 726639479, 350021602, 246163574, 966848464, 862177225, 747589186, 882943647, 208776012, 402184160, 805215536, 126566328, 226522219, 513898173, 116197083, 93171898, 46258155, 552968738, 857948919, 812688414, 122715537, 992167063, 533610085, 287067334, 458451057, 409664950, 458995259, 121350032, 741277002, 468946704, 634824875, 663046513, 867876479, 546301291, 85185180, 40867285, 883414960, 3714136, 768428063, 563849605, 280506204, 370946765, 466410142, 168186769, 921913214, 572887961, 174863643, 596714263, 210325011, 9314519, 969848265, 999190316, 272949552, 474298602, 910844150, 389317654, 639001003, 495298467, 382589012, 833518815, 708703844, 625882747, 490432307, 812633821, 9355725, 553171636, 206480780, 277619881, 940418200, 986787085, 769223417, 555267035, 263714466, 18784083, 187764967, 340602065, 111172952, 600182648, 236056629, 403758176, 6144386, 321550223, 167502567, 586585376, 510156977, 129408915, 748975306, 782386993, 545988257, 451500249, 556751061, 576151702, 67989906, 842288916, 432719152, 434932575, 547799459, 643638394, 30359108, 313732742, 436563454, 715188309, 390227762, 125483610, 840889392, 713598196, 718623191, 284770837, 459232784, 6557511, 642673484, 644168306, 105717080, 229526330, 207630088, 973362655, 509717688, 20598438, 638317999, 677818289, 430927803, 350762833, 329803854, 338066278, 361398156, 133980828, 72386739, 51123340, 209686206, 103462785, 586955407, 445620649, 339816761, 769570467, 331079507, 673857758, 534167457, 434754968, 785512746, 691381391, 316124475, 890403661, 624806118, 433850340, 270985772, 424775652, 293791928, 410905424, 659030203, 352651410, 447467133, 461743049, 749679684, 293590961, 931961374, 780784124, 14744686, 332098779, 848370887, 730433531, 634018458, 176443895, 717365221, 132830163, 965733904, 245620751, 239615615, 499717224, 861886846, 585036267, 901274051, 988881293, 396710353, 142791794, 711665581, 469665203, 233223261, 504139985, 13549732, 401900828, 51899483, 659574567, 296934629, 54341542, 822628867, 977900622, 866425832, 95322824, 865375162, 481653939, 640118639, 546398597, 787928983, 153116190, 7890339, 837179917, 987190896, 414857312, 99048215, 412199189, 325786520, 113690598, 690333639, 256139227, 326538858, 118944527, 373799282, 138736325, 743864324, 618894257, 836107323, 584632087, 869429017, 462105091, 765486256, 943478841, 228974191, 159794583, 386726175, 161282771, 439775362, 557110513, 120091090, 162756608, 194978562, 263978100, 906477531, 487002914, 858595354, 11128778, 82920486, 637605959, 541478550, 163990560, 237506834, 332675752, 887570784, 976714717, 564615134, 904860238, 360354602, 515896080, 461277188, 842390577, 562564595, 643536648, 318532347, 343164702, 441369742, 806963165, 618022631, 92791139, 396493963, 831252962, 636315725, 781073868, 731243977, 557316963, 374673606, 188685812, 551200660, 359299322, 514257805, 232447154, 279581939, 296811393, 404543333, 185298756, 876534483, 946020637, 159756971, 149591198, 420356938, 122235137, 285046753, 671542840, 609831342, 109655895, 273289923, 599499080, 728468931, 962494903, 824209126, 233753018, 699428182, 42945786, 330547966, 251344057, 874310721, 445373735, 383110298, 406768097, 719931186, 795631208, 833844968, 61006805, 244420387, 21449557, 912478578, 215426564, 106813455, 515950828, 2914751, 911035306, 941425048, 846413766, 398897115, 304163593, 202396511, 454698480, 515150333, 250383836, 897226341, 10849447, 698882713, 300622731, 772958088, 546566715, 649691677, 621512880, 661107554, 329290799, 555593004, 322134199, 404818733, 167399599, 572535364, 764061200, 191726217, 494304860, 138671949, 823697097, 152084302, 371449896, 204396184, 624766429, 513129350, 301193550, 537867939, 396124409, 219588692, 964205677, 439517392, 989598665, 388522003, 363776039, 396065424, 909649020, 375066434, 937359922, 466873352, 131928877, 427319735, 224029730, 359036787, 287850565, 206977132, 499497275, 109630211, 268732118, 348934305, 384331743, 336334831, 927902017, 751100875, 777044861, 41026251, 160033630, 992028455, 329441096, 655503647, 105077357, 465940353, 777933302, 535127989, 123262302, 238540346, 41676836, 834099172, 411935566, 777467875, 664107237, 152717713, 780407217, 824242724, 113402742, 326455324, 827948385, 722854397, 175427269, 875393760, 539888382, 663175279, 899490126, 816901135, 868826640, 697839142, 105986992, 227499744, 463038007, 166642760, 736744391, 306030301, 982998451, 897274723, 751874378, 390424526, 226205722, 992788828, 930803562, 738755090, 579960456, 967630497, 562230231, 689477639, 879085704, 769267834, 386301566, 156146970, 58161548, 820243881, 388321741, 714461998, 370600975, 914368008, 775198736, 637285907, 387537422, 210325548, 308849245, 874114449, 87864165, 773758093, 283365288, 851800500, 219209400, 806983471, 184858672, 263149355, 277866284, 911673464, 763529536, 331472970, 329848563, 299489443, 41792417, 34674845, 520203229, 213954546, 446582179, 449432098, 805394810, 206893201, 153337902, 314547708, 529079165, 810036622, 351330494, 364306015, 71887071, 128022064, 169803339, 274423528, 676652169, 923073549, 417507770, 423557583, 297500000, 329529966, 92409938, 605648515, 355671204, 694658521, 419762706, 8140361, 42342403, 48714514, 396745722, 507775512, 949782029, 389710784, 116665317, 29726704, 281007213, 862273421, 163223781, 230871548, 947006787, 35813445, 928151802, 955752783, 417285858, 118097085, 177195936, 407388562, 758458654, 280070695, 828471624, 891060444, 786882692, 116006488, 196584612, 708963433, 103098665, 594208228, 959428928, 469535450, 686679120, 324234248, 42345272, 666503648, 251706353, 8303103, 370749534, 518276445, 530350986, 732725001, 922222392, 806082634, 37313033, 507794333, 98053961, 576909686, 370556621, 410459451, 298117869, 421638294, 938882547, 291332587, 704790360, 743728525, 283216145, 703844667, 26723361, 868505140, 257916643, 601849262, 772205879, 237754601, 631392290, 900153531, 563649373, 335047330, 967887412, 78730240, 152661603, 194184373, 249971807, 987245665, 157084102, 614498694, 898201098, 555881854, 694702349, 342823079, 352577520, 245082624, 1581677, 723390937, 70142527, 2065162, 66099391, 472867402, 563477019, 431419881, 464260960, 255367496, 889304308, 561298268, 912480395, 111708649, 321759591, 143364510, 764953443, 364724436, 452339841, 819084851, 20560233, 917783541, 136279261, 572393877, 445768943, 219875492, 508269450, 61087201, 467232008, 307179481, 635087817, 473653196, 439386763, 135486545, 968300345, 175020991, 341381500, 148472514, 886093849, 151509505, 991979317, 549998682, 223982027, 257940633, 764216406, 595741274, 337091458, 545549109, 971069844, 774378765, 566959720, 437960496, 933240778, 375813240, 982487122, 224582456, 563632329, 974633371, 16350761, 434038189, 775509790, 533381137, 857928627, 907987564, 857762284, 91439263, 802654194, 663807112, 203541530, 788653192, 920691951, 110271210, 495419496, 414206711, 469728833, 276947197, 363590632, 902926807, 204036779, 316264410, 961761373, 665282294, 263956003, 747042645, 613558244, 723708381, 543111765, 350451526, 277092971, 933093340, 206628597, 765961159, 531754018, 679670183, 894414218, 214658020, 781429161, 324586529, 30982263, 464632855, 37337237, 707732187, 571986934, 463613958, 550929066, 147642583, 879554088, 64120354, 169812065, 436756204, 554519762, 919843496, 214172941, 827320015, 263110272, 46001680, 958207461, 317565710, 136140038, 518002376, 566216856, 885493377, 277158913, 726506286, 604307224, 177720503, 575687020, 298910839, 569287344, 6659238, 774805585, 621951162, 746694866, 661661024, 282117922, 261971274, 512721575, 712351480, 214715443, 207749189, 14825152, 593548783, 2440577, 672450624, 602174900, 411391093, 385722512, 481697722, 964379736, 380398585, 62368687, 238353061, 807525634, 882599823, 461025285, 121590738, 696666474, 775549810, 366426458, 773153210, 105223235, 580615927, 850827911, 289779820, 180025989, 701674271, 973238422, 217052557, 344211654, 788131078, 456776969, 120546208, 4151142, 470571732, 839087374, 807882719, 954480260, 18901838, 326160095, 570848513, 346037180, 188165046, 693004402, 470944888, 312719166, 346392315, 135724206, 951402425, 475471072, 971887670, 350734566, 942689093, 483432758, 586784451, 220372237, 205203689, 846656621, 908139981, 133123166, 52212397, 626581154, 597576475, 227222877, 992451347, 267048668, 326846905, 106528960, 913826137, 932982784, 612674828, 811130890, 825721575, 786295998, 661449169, 22884355, 376430100, 481655693, 972878561, 601704476, 529260878, 820013367, 178932192, 992813835, 421272263, 266647573, 909722184, 717026967, 929731457, 261160402, 801633749, 546189833, 890026846, 473377365, 721438873, 817172228, 45095059, 401162276, 388027540, 424299236, 781860075, 539161282, 452183980, 259740568, 134696461, 412831179, 449129845, 575514717, 19778899, 94524438, 151891497, 233349780, 774585770, 425401148, 412720002, 137410542, 656650694, 321942738, 540637815, 310440399, 953630048, 97047545, 23056736, 981220384, 419147698, 820246722, 697279542, 654153199, 2948593, 105720717, 819028158, 805043311, 692173736, 559607950, 557970884, 541729264, 693975971, 667336919, 787096475, 751413012, 160022918, 597968589, 399188786, 59675475, 644482128, 330593832, 613232154, 767553588, 779473924, 434196055, 346508558, 220071324, 522482702, 321578510, 356229910, 291285156, 970719365, 340806269, 666899715, 594829758, 698141445, 890629856, 986722628, 487223836, 970728538, 568760606, 787935348, 380609891, 99639588, 971497787, 50336317, 375971610, 65105556, 945672928, 345754444, 867724635, 718456868, 20637232, 81791460, 889397552, 300611358, 478961809, 558909547, 125109835, 642381054, 418463176, 11414284, 146926438, 97027493, 381831349, 97869899, 716351583, 50241917, 565520004, 850491753, 162404019, 462351549, 209109719, 765774246, 275217973, 762912002, 857616643, 540500148, 441160088, 198082320, 730418806, 817295308, 530888892, 865312105, 753610033, 563101356, 448585127, 628679502, 153929301, 371488309, 869538930, 747079502, 257259766, 780553392, 635300141, 67956686, 359402, 187913987, 604170339, 453050956, 580602162, 80638792, 655549558, 806759797, 745612777, 814636492, 321772048, 244988733, 672940104, 920525763, 794186300, 408789205, 771783587, 974857333, 792249510, 550508217, 666160698, 886747961, 3052019, 899479072, 116686650, 987652372, 448096120, 986821913, 565774851, 757501927, 294125096, 248167319, 93058107, 925534535, 790477515, 428242946, 246772316, 582703590, 15189108, 371976260, 970108103, 438054841, 702919363, 932439418, 300158073, 531474245, 996048716, 279843638, 210112238, 470247911, 505258417, 402057377, 465933360, 652274089, 965146690, 525777369, 319366556, 471748709, 959957656, 137608780, 820266493, 853381275, 83310252, 960272705, 576772574, 797456418, 894181234, 303395279, 284895517, 570331947, 799404076, 232324999, 223812397, 286473527, 830930910, 209117239, 764237971, 727706954, 4386967, 127291858, 109711383, 109924955, 563625930, 995564796, 875396912, 39840585, 923549420, 409728682, 806411435, 718349646, 86210966, 148318666, 450281598, 647253338, 204766448, 961602013, 423192701, 562655686, 207441755, 938137281, 535311598, 85336986, 777315832, 738803557, 527397568, 751456547, 428321883, 335566231, 774245296, 129250638, 602359189, 203904506, 718493743, 142657418, 543246995, 364411826, 210704410, 579320430, 791632602, 692883495, 559988341, 645602654, 326481139, 460620155, 690334557, 62216840, 538594234, 961593030, 208806152, 970506244, 255593985, 898700491, 868387478, 216374226, 103286192, 600232124, 820955052, 844462259, 784392646, 64845145, 606769536, 928900605, 647121477, 57346889, 824827870, 773209267, 456016136, 731629115, 610813724, 649232991, 890595155, 597258576, 570158461, 168774108, 869373154, 426529152, 848174835, 669149160, 547790336, 292621315, 205098341, 430705284, 512758036, 194914601, 745912383, 248026521, 317964204, 617419374, 517012733, 246608553, 510698818, 610601381, 418773372, 749741437, 266384283, 53032518, 561777295, 989902076, 23517476, 301394566, 285724630, 238079747, 170984421, 871806686, 264255740, 300589767, 197690950, 937876962, 654369314, 885345665, 803158653, 562977052, 617996948, 147861127, 940969091, 373576487, 231362555, 106285543, 760058691, 763185154, 534664057, 957017019, 300806828, 301672870, 898235400, 160351858, 737978300, 563277807, 652960544, 26446438, 300526577, 337019827, 169692615, 464451528, 498383000, 695524860, 443622530, 637379759, 187131053, 91567940, 174487717, 619723997, 547364236, 667077769, 861990837, 269656878, 98239251, 409722580, 93214370, 510934257, 176253950, 770498901, 33225028, 494995430, 666720890, 477902856, 379434004, 755291533, 421866741, 346000807, 664928344, 786808572, 917262612, 880619154, 32426004, 165926654, 610190817, 266970212, 401056129, 103510962, 447074635, 870941425, 62380403, 547593384, 302302810, 652824020, 606093356, 240644399, 875381852, 740291944, 253559985, 606696884, 151000920, 467331636, 31202911, 155490673, 663817458, 377999151, 1202978, 850331938, 74869728, 551883914, 920830669, 923465842, 40369669, 901524141, 598161442, 245959235, 406343396, 187197659, 478358674, 818902748, 14852300, 870811099, 602230009, 475779198, 423563725, 964897639, 546031067, 252973472, 853767649, 282542915, 465365034, 541808252, 337768915, 677603800, 310052899, 817647524, 640306506, 601043822, 191099917, 852178392, 827656916, 316167971, 928140873, 815408675, 572884737, 661924736, 459582575, 899910863, 381092208, 589274959, 293344719, 812818281, 613019060, 821756533, 787049947, 774637461, 398814198, 127042689, 515828983, 318358769, 615692647, 163869257, 163550962, 721228118, 208394584, 430286796, 777236245, 748942905, 479460062, 540690464, 120804780, 780179181, 266690257, 34139461, 882208391, 906235214, 37405308, 599460695, 666325146, 768034167, 485328521, 66390264, 641800235, 923682188, 773137668, 368686628, 742021801, 802984996, 371801825, 680713585, 811156106, 208512914, 730599765, 569167144, 35826841, 20867106, 634456305, 786126635, 476224625, 489368764, 360028860, 628356821, 513652489, 214137796, 189169816, 433563221, 55664707, 685140934, 510181168, 538881087, 688304025, 781897878, 923653472, 908505969, 728665047, 592314449, 699571796, 914973404, 608448117, 479035443, 189275097, 839779111, 64107724, 340321731, 375684040, 179509274, 131653792, 382961195, 585427756, 255333041, 579264099, 159186886, 852471505, 913225043, 522740304, 414512485, 270370471, 516225795, 947450214, 457352891, 204656580, 520979202, 280686702, 458579057, 185004457, 417961308, 535247220, 656761047, 356469613, 781365628, 618954957, 723560122, 567864708, 315320993, 808384131, 672059919, 914014486, 166343283, 365547589, 502332140, 356451832, 956440540, 472717424, 953039619, 946227621, 460497152, 153948692, 512257834, 389153918, 592328096, 432058417, 602045197, 632412603, 14158220, 618262499, 374105115, 986008294, 726378960, 775017641, 773324952, 763671330, 837984636, 616220226, 812066444, 892565384, 514584655, 645593685, 621139244, 868949481, 564036570, 250634364, 314848196, 715833577, 832753563, 81680222, 824483448, 61700502, 605080294, 369801760, 3248820, 526763027, 302852710, 728346284, 721885740, 653341827, 29103960, 118931899, 310095724, 981698283, 210061538, 131112369, 614365487, 638235870, 691653944, 350125336, 15930801, 926625016, 733354693, 149756121, 877962137, 448971267, 19573197, 938463329, 192515095, 808654488, 358853301, 474154394, 276651061, 570640546, 46343989, 285044464, 288713843, 983609851, 734622337, 200242622, 209942700, 596271683, 401003114, 523245245, 537724475, 814400904, 317495439, 43697263, 365150297, 588583722, 75927967, 379301571, 134304407, 552445583, 398283575, 383323473, 441254621, 324484825, 223886238, 818448918, 939767640, 198537723, 506977989, 230098251, 18905789, 430886078, 679913389, 380003133, 399880487, 190080471, 628244236, 217154135, 528452494, 6890056, 638650739, 115873244, 797582810, 766259355, 955978037, 158401294, 674409560, 283585397, 158906637, 146403289, 915214954, 957550233, 326039577, 360452432, 321011519, 2271982, 181069798, 257118254, 338415423, 944673295, 826690248, 937723918, 743923088, 41214603, 88741218, 250634938, 998224143, 388044729, 759997979, 330837383, 301063574, 269271290, 610465667, 915317784, 910633214, 433324256, 882489380, 158966296, 728343707, 402396489, 615795273, 718875292, 740201908, 48813943, 276853870, 624174156, 924197343, 265269960, 700665139, 738142107, 574460402, 508448722, 689801229, 973148615, 287106921, 882765074, 929925575, 863635172, 720956675, 321585424, 40249219, 551874871, 172904248, 193861833, 452709497, 967624288, 686710575, 423694170, 987596292, 49530383, 55706228, 240817895, 63003905, 25602046, 775352126, 147425848, 505025881, 539470670, 526853730, 634113208, 251251349, 548832878, 46972559, 766851314, 715350392, 398730473, 374668866, 757554316, 720067928, 380650405, 314335707, 768607525, 831733223, 730404990, 781085386, 672882661, 63771359, 929777319, 364258032, 546303160, 374900480, 497716982, 925827842, 634815625, 835725471, 887638937, 712103599, 987654990, 515774225, 673572914, 259503703, 550813538, 510465757, 459574870, 192608702, 489027698, 486418116, 216345600, 110869332, 878077053, 969185552, 368650433, 540658942, 954034723, 912064423, 853439231, 53774917, 451903469, 370749863, 818317926, 640556497, 664659507, 208616989, 723908874, 111773710, 886305277, 849163411, 936529921, 97583656, 764433319, 342485953, 48696074, 241572854, 354350611, 492572847, 6078557, 967198210, 626354288, 441017580, 192944363, 135566638, 688471103, 820551076, 656445780, 575978498, 809356074, 146981425, 178592106, 180997765, 579889945, 356524849, 810104366, 992376595, 315395857, 37531820, 196983858, 255551005, 257767661, 862669882, 247940827, 434180160, 27240242, 289516017, 589001461, 637223198, 739789738, 577989959, 209849083, 116895602, 48804747, 273596560, 914641724, 654110642, 732540679, 264392763, 85173298, 848622698, 976334029, 478496915, 517058824, 778912631, 589708062, 227467890, 541348094, 863039552, 327126703, 291819267, 418851986, 282129386, 17023297, 602317448, 335848811, 88596799, 724180108, 215200080, 931972076, 592828021, 181409274, 712827760, 514842050, 97446384, 810799975, 948801714, 822021087, 686286006, 498486931, 914707295, 915983801, 768745901, 844711223, 102219035, 644702811, 786199675, 944473435, 109979896, 729930971, 509152820, 772332834, 171056589, 501838243, 224958778, 216415601, 936713966, 457316493, 404302522, 735425814, 560349465, 610136811, 898307910, 505826035, 298770609, 528903767, 339650430, 35783073, 331528708, 166249046, 237332526, 460600553, 997754824, 223074830, 803106273, 937338525, 30113373, 966190404, 810980292, 752102314, 464505838, 555464487, 23556330, 647539420, 386012733, 574372684, 183585083, 730136389, 361647425, 999253102, 527034774, 857676502, 834266351, 231932994, 224105359, 230657773, 556421691, 577209207, 824039076, 989821104, 411704709, 647836427, 114715376, 840987758, 951042577, 4936769, 331904490, 21480228, 311113193, 279590938, 423408622, 841866910, 679459443, 46368475, 176618601, 377373695, 533830484, 218221434, 228695031, 560027837, 319567975, 216302020, 869388586, 578944768, 744960178, 924153841, 40357448, 260764232, 710845380, 418809155, 846798879, 287325867, 564900335, 713704625, 376532438, 63818582, 979370712, 397798810, 5980722, 919992843, 763963761, 936539272, 901980033, 942859306, 796338703, 886994369, 162666103, 492386887, 675311826, 246432248, 653307709, 272302021, 499504893, 912510703, 627343985, 168143899, 422731860, 314748579, 341873090, 99848483, 669244702, 506922670, 420125015, 51756244, 994679178, 735212569, 275946462, 24281534, 643750813, 266049893, 280883705, 724129118, 835280522, 320330683, 321563824, 515265244, 694192290, 451974424, 507323235, 502305595, 290029369, 828753335, 230421213, 211829755, 145230, 345855048, 18382634, 744155929, 121622810, 560747409, 190422595, 894866428, 251454281, 423491752, 588007420, 198007123, 174124940, 499390280, 656023163, 409183636, 507546586, 512257090, 404463066, 113618359, 94905315, 339141806, 608432500, 626714441, 476970393, 511674116, 97125866, 387824398, 189786602, 191286372, 762191151, 219495580, 128366919, 466504380, 862290760, 166113136, 78169848, 137764192, 826901875, 500398471, 84715519, 551185848, 849249217, 377059285, 186989719, 837151743, 679352061, 605199527, 952699587, 161141844, 292341651, 347312277, 434131217, 716140098, 249965201, 834765696, 957953630, 40000941, 618083245, 176434616, 493673847, 421771501, 371525732, 152188433, 698130054, 736373520, 469294158, 308086282, 245728474, 729111515, 709441900, 840624333, 371204511, 864938880, 167749467, 790620678, 657140258, 882137117, 710949470, 634445306, 307676433, 885983139, 769168263, 250899457, 130777882, 141792860, 846443585, 57941922, 138209788, 896460309, 280301418, 755777096, 280008293, 577225435, 7517119, 990452384, 539995974, 526523154, 347023029, 591387882, 987375812, 605372585, 827613542, 537214042, 75839524, 321669707, 205470136, 863383153, 271152564, 654641744, 571280878, 854367446, 26191740, 906849096, 812590967, 638784816, 124691245, 571928180, 833693661, 375629400, 714314342, 768527695, 762263362, 377094552, 120351782, 843356478, 145717040, 190842080, 832296543, 59218614, 566849679, 162811751, 212656248, 135290567, 657141256, 111623422, 115292825, 306910284, 42750062, 2294236, 985985068, 823244797, 539110827, 421262627, 341980682, 883953931, 314791370, 462522898, 708186504, 602648918, 175179731, 159400643, 77356647, 933858466, 859478758, 687507916, 37253674, 294447218, 418081771, 872335120, 351290082, 952587157, 29544332, 851041854, 392605690, 818210406, 347446231, 662851004, 24145563, 697555899, 508510248, 987849630, 878363576, 430377317, 949015413, 952004125, 152163511, 967221117, 835628271, 835728424, 556102126, 257938836, 421221023, 186472036, 287195340, 11031171, 181017789, 490854205, 885244784, 477732491, 658181975, 300188279, 273971313, 960704055, 17048340, 322591827, 242894356, 823337876, 603343602, 933065926, 880936497, 984954628, 404415165, 961011953, 892387539, 662143602, 82465011, 653479000, 702141920, 866148049, 924447282, 849975296, 387917521, 652829049, 683691166, 511694704, 953716473, 314941498, 559914515, 468345218, 484602363, 58531181, 307704500, 314581623, 328153407, 867575999, 194936018, 458687093, 801076364, 495330258, 632580119, 976583389, 342176143, 80249886, 535040574, 862714958, 221975520, 780449618, 556275456, 696437389, 874871775, 418254240, 690569201, 961902370, 427605618, 690276721, 902685144, 660158019, 984417301, 489074124, 537903403, 357399153, 554302351, 426132482, 986872514, 245327955, 615067387, 636373169, 480828608, 989129537, 642995815, 198596650, 724647031, 244765912, 589959226, 543462367, 469758901, 154753991, 396622178, 143256623, 291482039, 817727147, 3883586, 258535221, 47502251, 203053484, 366918046, 929597054, 52758824, 805739561, 257902284, 276663370, 959221961, 579739676, 875186569, 730292922, 845638373, 39687089, 553260390, 32535734, 172826370, 634193348, 558251883, 545262252, 652085917, 128145314, 707848583, 683068316, 350846508, 73405587, 90595986, 56982108, 833244158, 299625395, 424705524, 365045255, 678313349, 833265268, 70169099, 28546599, 937570140, 240748795, 868028244, 843984050, 261344791, 788613100, 253719026, 910562123, 136973095, 329320948, 925494989, 779421653, 943617937, 426114188, 780488726, 174793236, 353858311, 315258846, 47681715, 126074241, 124162051, 165312452, 555541963, 427197970, 889100463, 398592856, 435029457, 980142208, 793094280, 873611745, 534796884, 409874375, 665869714, 778975291, 15528443, 561370695, 349165833, 683397191, 618637591, 412619063, 149807217, 476304807, 33520691, 536105909, 566393069, 395875512, 869054700, 159711318, 612301493, 642471286, 456373054, 839172252, 858558374, 336204422, 864685751, 199573819, 655842029, 676659119, 492855996, 735886024, 329764554, 339019756, 130321880, 937405064, 372629162, 931806245, 129699836, 993921352, 77840251, 436367102, 885554544, 227107447, 612672540, 356698114, 814098391, 544970994, 955806053, 821402835, 920406057, 488499233, 704688636, 175530048, 834014009, 534997173, 779044760, 112657841, 667439958, 371291041, 963884032, 893918289, 117387609, 130764825, 21708697, 794431324, 177030862, 617195862, 250776985, 904626163, 825998380, 52943670, 401240976, 115409684, 714572197, 143630282, 377354458, 404839938, 457109052, 624974094, 671831731, 617462901, 10604849, 776572485, 89516745, 74293073, 281087007, 459477933, 676013262, 840165776, 806153620, 719700577, 840450742, 902058025, 800439150, 289190466, 89998853, 681053496, 719407377, 98554564, 553992365, 747374569, 377789815, 556233103, 938442849, 287949838, 892748688, 795399657, 779603223, 179153493, 748599429, 791802503, 393764153, 981291959, 841022311, 856013625, 181716128, 802648115, 398820034, 750486446, 875448556, 636662647, 335737961, 118767047, 189748706, 12298860, 812059362, 233064527, 403413819, 337898461, 646893973, 945840372, 85856341, 289550623, 855445134, 293481819, 926661040, 783624586, 669737870, 811100921, 895138898, 221521220, 21105195, 897593500, 140111528, 851828413, 432696519, 526677611, 982958525, 323677930, 679746345, 245335250, 831716772, 314849655, 770539631, 129837136, 310037644, 334963148, 47583262, 286562790, 723126761, 51422184, 531846349, 944541647, 368222753, 670360822, 275202717, 109172990, 377871173, 433066820, 787953496, 874010044, 526915618, 29439658, 47354278, 92186370, 722560253, 205305795, 645401961, 256052171, 627093163, 954423447, 676159445, 129683385, 696822628, 222905759, 687746383, 197658738, 961308477, 507262524, 756156474, 371246817, 253041316, 940499370, 570288010, 56421608, 616660579, 302185342, 770265643, 875760857, 246179134, 837507022, 793148263, 355122724, 579406104, 772009096, 755884476, 215812498, 202760604, 125939614, 639466991, 252638214, 808966455, 784014732, 698380397, 571069341, 977425208, 33051139, 404994290, 935724726, 261316030, 875148697, 839205319, 742750397, 447397739, 156259168, 249805310, 215223673, 706360604, 285160064, 491149964, 713854132, 937093998, 709643196, 547818809, 303866769, 943011578, 538596151, 660605911, 521771604, 503542987, 791743884, 682370551, 612165726, 303368810, 882225342, 475927449, 622250219, 845778530, 700640048, 528841406, 830418693, 675135780, 535671387, 129006361, 116351356, 564544035, 932097809, 669583433, 754952510, 361367724, 186601698, 413880241, 826474121, 276203797, 918128869, 249712507, 63965657, 807484413, 719311328, 981785380, 608178879, 755579893, 445365947, 51343312, 159345941, 226681689, 125809993, 529408891, 167316873, 238728057, 903533930, 403849818, 372525681, 580311482, 799561418, 693240986, 797446820, 938963616, 430272884, 404297008, 471710039, 347465475, 657045828, 367931393, 632925403, 795576940, 928588820, 75909946, 724561553, 52912442, 762659618, 323284092, 785401801, 87010651, 530118229, 253743588, 818093099, 277494613, 14108788, 344283264, 592400270, 309222475, 199468786, 897284452, 4318153, 643881543, 121059906, 332377461, 557895463, 974114508, 154223342, 748269438, 460282083, 872387065, 970501921, 455940713, 4883938, 249470239, 659629555, 959348774, 747039175, 563019267, 928950515, 968926837, 806791734, 734394098, 531686756, 657386253, 719818870, 16581471, 38481585, 874782848, 195876195, 995052808, 972015240, 459603210, 536004440, 255601172, 165700720, 623222004, 901890848, 380717359, 206763149, 96354281, 991325895, 259922751, 901747563, 739158418, 349254107, 101764917, 537543240, 432147591, 822930523, 441286442, 90873668, 544948702, 813652621, 545276857, 499305218, 666432523, 124875155, 357416938, 549619336, 608176945, 986363991, 623140142, 696796896, 443288967, 885071637, 863712155, 926714085, 849047961, 114119616, 593017223, 682376496, 387139719, 398853231, 800901894, 131951818, 409699499, 969705763, 810354986, 434544928, 861360383, 939798518, 657021489, 285539121, 63310474, 138291423, 376469932, 128701490, 620985969, 412312368, 560981731, 979640361, 695013802, 443463364, 901172140, 155808342, 594685398, 569805699, 737909985, 179654197, 930024273, 227768532, 402500583, 787928336, 457495034, 30445372, 738772156, 690115520, 475850775, 148784300, 284991895, 700305509, 814596833, 147289365, 448538638, 327574096, 530374261, 688208712, 94299390, 986169391, 395287674, 350308057, 938414427, 947032501, 904127128, 142303010, 876574404, 172162837, 396753057, 886781005, 767697791, 816666407, 952096822, 824011386, 266662343, 698711748, 314951894, 883745992, 944218935, 25578206, 808587035, 797414170, 431844708, 624650999, 113935436, 488677946, 798388216, 881513976, 33348892, 155329647, 532899391, 986755456, 909854243, 450511590, 131088400, 922982041, 617460689, 73493607, 794872935, 985163536, 637531591, 780726120, 957304953, 56596736, 149541747, 915816336, 272034283, 306702096, 633924846, 97520842, 633645848, 345495241, 509722346, 797111981, 187579867, 30311861, 249391733, 383945935, 532180125, 212543406, 982261028, 384820052, 538956335, 411375851, 585975334, 725815894, 389785224, 818069680, 925349379, 888492522, 756418002, 659524643, 309515938, 391644579, 785988076, 267471504, 221771908, 74249329, 942943888, 554790450, 697380679, 780815205, 872672110, 893534022, 817906467, 128555416, 375217041, 844021679, 151957268, 844953700, 37284326, 568418666, 333253781, 385086758, 503943299, 296898349, 732772615, 773138144, 743711733, 313044789, 628413434, 403714264, 25258278, 96180037, 948500042, 48180561, 57278286, 17550169, 118171405, 124622023, 393685638, 132855323, 603631068, 30882764, 345525286, 529622693, 850125481, 52373887, 723467927, 175565120, 217879031, 634403661, 219530523, 725241749, 927004793, 86381794, 710673175, 588965460, 493708448, 270951827, 199828457, 173859784, 383374200, 14949171, 262133267, 319712133, 512756161, 799533049, 792656612, 744629523, 598129383, 978409470, 79978090, 487803020, 256415570, 220996727, 651000591, 736723553, 293905856, 134582332, 514809140, 245082604, 520762209, 688667446, 654363382, 670443926, 152663614, 12143697, 169550936, 242682785, 726971880, 949007795, 321983699, 609275753, 532221004, 796849476, 194319362, 807136924, 331654262, 81118988, 541249737, 797000145, 90269248, 57974030, 971027708, 363948313, 321951285, 98447824, 890541482, 57376644, 948911091, 60395872, 797011125, 720766111, 630837950, 684267868, 383272506, 881844627, 225902940, 304728763, 270003366, 759099802, 909650514, 651531263, 637998611, 46395745, 699626645, 563837498, 922956598, 497607921, 694551987, 775075701, 599647185, 993049749, 819869464, 111916957, 272994423, 771450886, 282625080, 1844160, 983240240, 768667359, 594068647, 920385390, 292498853, 430641416, 153190129, 607688018, 545659842, 918419340, 78872170, 562207603, 221928898, 175694794, 35221763, 832378290, 743012442, 254708658, 561520157, 784175061, 135877408, 577360246, 45548928, 146203251, 777302439, 777590903, 597408559, 5808299, 291428080, 470328569, 740917277, 5813290, 25483074, 988119521, 399999091, 842554744, 683125763, 294502590, 133558598, 204198482, 47274319, 381307350, 967227291, 383781115, 954143772, 738188106, 189724190, 371148298, 508323686, 497628968, 613657328, 335369, 259825484, 625661965, 197051704, 945198159, 975636477, 845871311, 806859031, 691006044, 692313531, 473254503, 331545100, 885566736, 304971663, 608798850, 73444100, 480384294, 440129935, 696562715, 605210091, 589954352, 641351647, 560948388, 535290689, 255020748, 297035677, 341042875, 507863140, 741559331, 418515544, 593797437, 684099055, 321987751, 938909530, 185743481, 663965229, 949155788, 635732839, 127127553, 64901778, 657351176, 562071328, 239419013, 161096614, 568651631, 356166563, 617014448, 551074318, 379798241, 863084500, 852726073, 264609455, 837533405, 270922513, 161139003, 415319590, 783802321, 5031626, 187797688, 912876756, 834126125, 227591582, 895036031, 594543098, 699425561, 112237392, 115423458, 463468419, 199807987, 453925180, 411479709, 630774468, 147418341, 564921944, 327580089, 838727724, 623147126, 64283724, 552167407, 955315702, 345880972, 853057470, 901417888, 898764577, 159533645, 155839837, 779452974, 154676214, 163629488, 687059497, 117684109, 898752257, 68201281, 576694061, 73824106, 472676746, 621621661, 643024991, 82952798, 945426126, 807200946, 898325330, 608513135, 387536225, 961524747, 931072157, 168329531, 127549199, 955409454, 438135920, 302956484, 530224469, 700465027, 337889365, 57528050, 107990398, 24851639, 975780555, 52044980, 791872661, 300832026, 13961281, 238593903, 457368937, 946150924, 765007149, 591623430, 54257711, 959097473, 477166966, 105719150, 830847284, 61129702, 468261053, 356617173, 545867930, 237548324, 358957789, 165847298, 554463439, 67339985, 326605948, 310878106, 354136293, 652938266, 39430769, 957531331, 876791387, 374492804, 303291768, 636933481, 391155960, 143536163, 359908146, 719769170, 57954034, 279898607, 23186821, 919183666, 422824912, 988281560, 617787460, 531409881, 605819266, 157658047, 516296115, 900036877, 214424214, 215001816, 903419896, 735777265, 20116211, 443466078, 551441330, 269243624, 363421320, 347738214, 500886858, 942689776, 653757008, 226114809, 288665264, 270898884, 91076081, 974058663, 318080126, 39148750, 702590044, 18271284, 772660288, 811871642, 122104023, 871282274, 863838473, 754909875, 26604588, 686987730, 800474474, 41632799, 734792299, 201645319, 881219996, 722145061, 397917035, 544430716, 46451589, 162702682, 865036641, 641920296, 513418293, 272360851, 281949859, 230752185, 244462359, 23910658, 587619188, 247966823, 185058615, 725565460, 105445817, 641606032, 152985089, 430053420, 431716837, 660378549, 238621109, 144036116, 2763406, 329712241, 448990125, 332080412, 395437898, 739313235, 858196579, 653319733, 559526906, 450303153, 164540720, 251470117, 848938246, 972469408, 46845627, 547847220, 122105797, 453812549, 600614712, 624634724, 801039743, 818870551, 518077461, 865331466, 52202498, 982626501, 219346246, 916053394, 922015923, 950283847, 648595899, 203138212, 747271317, 196261511, 568601775, 867723329, 452823989, 865963472, 574552719, 624727075, 761809469, 189976222, 215563742, 821692245, 285711105, 462449508, 272846969, 784213862, 984702658, 962141547, 478121604, 639336968, 576303175, 871332914, 911692593, 119570973, 507780723, 979910, 928335810, 583636547, 653251198, 390764441, 132752887, 668467838, 110577121, 500346193, 294325352, 333456673, 288092323, 632704131, 653116005, 290056527, 481014820, 909070554, 353682881, 84258068, 145040857, 550409923, 720743163, 852583462, 147474883, 415048866, 299893618, 578321124, 736006706, 161639700, 246539906, 120900127, 218002362, 116726740, 206232581, 110308541, 621431093, 363112009, 646426347, 327812963, 775691707, 11103800, 249210508, 859435729, 146407873, 742921762, 291492161, 604565191, 790252019, 380145475, 346246062, 964920775, 573733868, 381661464, 937972550, 234758129, 459869106, 574245783, 453321809, 151623251, 188900736, 877503674, 352161345, 800427145, 515261340, 893733917, 816330322, 873567103, 701347479, 718731992, 726585167, 835506805, 24171716, 270839827, 854692971, 15053694, 50562527, 190369663, 957933526, 2260856, 347938083, 938859724, 295229014, 662250032, 105040779, 144061828, 290661728, 421125532, 245471765, 969449993, 534979395, 134123483, 277928042, 160012422, 467229706, 365154168, 900745279, 761445681, 694015625, 751415399, 162319836, 121470544, 688454105, 465225369, 556053773, 535143717, 697512536, 589107584, 310187072, 369220290, 174697364, 316053840, 506729916, 102129504, 869487368, 72220267, 126076244, 58569425, 664938980, 600369445, 359193028, 745483056, 537145430, 733880936, 974136392, 799629552, 327759651, 31533900, 163492163, 670798020, 19142414, 252768144, 396025496, 536390572, 502045470, 362713349, 769684954, 631975774, 74719376, 155969892, 420327444, 498944560, 847609650, 842962293, 748829874, 912181008, 769253409, 912686006, 271288175, 35284088, 26614605, 184879637, 882881217, 314345145, 657296674, 185128259, 62724637, 530287, 700083884, 167937427, 90195875, 763434383, 446273080, 722671352, 851296481, 714583399, 732238412, 613358615, 771648302, 147599212, 62679099, 366831185, 692618135, 549428853, 397480992, 536423402, 826536392, 700017638, 428694186, 357028478, 652809557, 654217526, 254884790, 318442124, 890435470, 620730038, 339644998, 231641041, 972074470, 736930560, 513834649, 705171386, 827688757, 361500053, 820305147, 770723031, 780955, 697477635, 66676887, 224635772, 250413350, 883597045, 370034031, 78845437, 117485005, 650523452, 707261234, 53071220, 542665826, 492239443, 844620403, 151062914, 530429828, 570866386, 889836986, 852513028, 877124812, 491004399, 360965082, 437373410, 407506986, 159525689, 780031148, 85733013, 924200688, 381492392, 101537629, 21736723, 413545682, 626610953, 288859424, 636257262, 244911088, 327930743, 552600575, 450916319, 292172862, 111568563, 328054286, 621325332, 110885019, 713733385, 139232734, 217877043, 691880311, 906286969, 462398705, 199077325, 198514309, 575894576, 413180450, 692508570, 738364271, 19584346, 859648493, 429149089, 708483768, 289673097, 665730767, 206618689, 764712994, 819544936, 530208807, 701819098, 938986220, 578808324, 854730420, 471272344, 348422816, 907648145, 457531000, 555652466, 954595763, 552878318, 641939828, 391432533, 302965386, 606427723, 245959535, 854776446, 788701819, 200151338, 77012033, 605046571, 712554824, 368364350, 714978723, 896783878, 867627063, 8584548, 258852571, 967373145, 91327816, 432539367, 563891573, 794229538, 138277336, 711652997, 380973487, 149986082, 288711081, 845067409, 171807646, 769080387, 555352149, 265756569, 100840055, 804676883, 690084897, 779403310, 82961748, 781473762, 489370710, 939174123, 765328324, 152310374, 100299706, 870232567, 963542919, 130338559, 740553948, 791902866, 587333292, 508825600, 594171935, 982354004, 882159737, 284315533, 179151131, 369033959, 449272510, 767741449, 673505889, 989385120, 337920991, 15660234, 396752821, 148349578, 285974198, 317382005, 133240701, 698978192, 728816717, 171294009, 690312637, 483218852, 662050539, 769840835, 344456009, 972578508, 338653518, 805311140, 814893340, 796675584, 656771686, 170934305, 272496550, 304907609, 975401230, 954460639, 297144908, 423193541, 110509106, 707395592, 914470342, 969054254, 184935120, 748703052, 541619675, 427154610, 951600460, 641311944, 877195214, 530502804, 722380253, 957116176, 718728225, 44103054, 639157331, 742888930, 223081513, 284640294, 524793185, 72122501, 59484958, 330509048, 62111782, 557933650, 144145139, 720065138, 692078360, 597132724, 30693001, 749013776, 390240974, 74647718, 830626889, 259622477, 161304771, 946712287, 759525765, 854279957, 117541280, 121996987, 51392376, 906696946, 898860936, 255715231, 341027263, 194181884, 509388182, 878712007, 755369175, 17430653, 965240750, 778299497, 977158150, 642631349, 365891664, 835644530, 500899206, 823999743, 524359889, 782318744, 622172946, 95302439, 276123578, 213949625, 463128181, 763366080, 675644857, 49118259, 181707296, 173682493, 472296127, 943706741, 29747313, 558205571, 807792471, 982469523, 888895550, 280095919, 144414826, 740024061, 631268064, 31842639, 999662811, 904213138, 645597386, 735455498, 209235993, 523365218, 417389799, 941544742, 252333819, 185641133, 938751612, 48138381, 849423651, 615717270, 2528872, 606351833, 785380885, 304178513, 662371401, 480196532, 563714740, 739705873, 943301552, 602357327, 878528257, 762921713, 17708275, 243739161, 171636480, 999300979, 447987337, 238991707, 10539946, 562478844, 366022264, 687376929, 884552468, 754708236, 912344342, 631222881, 516431503, 45942841, 80177411, 730335104, 310585447, 492159536, 516981549, 717136469, 156586399, 279035673, 783180725, 299713497, 239655709, 14786469, 893392982, 609532634, 737883707, 263941297, 154174705, 747787579, 849656058, 881531169, 523800979, 97740276, 283304360, 159585456, 603217453, 84257009, 300264051, 272475898, 367033472, 890265714, 549288198, 772885318, 416489615, 982567727, 633876378, 468248495, 216975175, 136262387, 368690762, 493878769, 837756443, 668695019, 416105972, 697430960, 960926588, 535652424, 829384200, 444816866, 841672778, 920953051, 738844667, 28595855, 737823458, 523246641, 157547106, 401625148, 107879701, 296899301, 305812732, 803464919, 83104665, 726143838, 249524492, 98356338, 518017985, 480597985, 83982020, 740865235, 34082604, 188508559, 940331458, 347856047, 597322723, 871172084, 186111641, 57461295, 985992109, 649054792, 987894440, 121307412, 584984779, 282109077, 50331366, 814639378, 607417699, 797430778, 1058819, 843180137, 664040153, 221862435, 968683063, 225633120, 210548545, 166157141, 353764242, 892969953, 676725262, 245653305, 213287393, 120066203, 941592634, 715938171, 639963546, 721581934, 575728008, 557068999, 623995712, 963809622, 316467968, 417254522, 42278312, 429658844, 510840518, 173329206, 169456487, 804795272, 832127929, 65810408, 856518700, 507775275, 861007118, 409048664, 819567372, 160505175, 374763342, 923211881, 680275763, 297273889, 683410323, 349001992, 638717036, 75153625, 602548323, 14741048, 30582010, 579131825, 957811148, 614562951, 861682289, 660431911, 177982955, 652015059, 778192330, 641476241, 230878512, 980570989, 823149, 185753908, 757891053, 201645271, 136045480, 894766834, 927187040, 229459753, 287199854, 215824438, 458400491, 177298367, 64705957, 187260203, 730575853, 475026459, 910487868, 865755568, 430234683, 640178423, 249273473, 810452768, 930179087, 644627278, 378830354, 193259653, 243772523, 583534284, 787210757, 445383178, 25685025, 481432463, 345962351, 9190545, 240614507, 979847697, 928153083, 27359590, 488477314, 322489045, 68587082, 190285529, 206060136, 25183306, 311648274, 451628438, 854554284, 774038386, 688570847, 440233028, 354666620, 874809860, 56961400, 79834666, 246831228, 594134244, 413411021, 251102180, 703418987, 408391475, 123011697, 283637015, 657947859, 600746510, 416678228, 107822035, 279018423, 954550049, 482560537, 75811712, 147565199, 460859713, 708982326, 288755090, 341282562, 929467208, 805445805, 970670161, 434457307, 765368298, 796151554, 534155176, 293076276, 875800008, 497764664, 928827517, 221354076, 302483171, 724851675, 975172556, 447527932, 510158851, 557024194, 947725099, 498429246, 583050761, 214366268, 214773247, 747090352, 974290543, 374419351, 859927140, 24045668, 780352394, 173057938, 10498764, 152777800, 7844111, 43085717, 739526774, 666132624, 702673658, 957430420, 181894542, 537498439, 590260381, 857552061, 84064351, 225981968, 20217064, 62594820, 763813892, 991616215, 469784560, 327880345, 466834111, 868702891, 827822198, 813673464, 196020146, 333671578, 374290142, 246983095, 912150970, 484232596, 814708586, 631381914, 781286449, 381380822, 387700786, 304635540, 81043707, 232831261, 246190564, 600322547, 833441179, 513675274, 50890338, 254793680, 286115509, 219306535, 627854703, 480785920, 527597728, 489848799, 196049659, 712649370, 994301970, 227708729, 70015627, 669296040, 707749805, 680209734, 247597089, 485871854, 566226000, 558326192, 263399944, 133187913, 735589778, 836873548, 995883365, 228415791, 672218552, 36855774, 252964051, 970863793, 303097268, 394947798, 799487543, 357409701, 214958741, 40161183, 915628194, 74766847, 115871839, 605784334, 360649669, 214610502, 878840343, 938036402, 996776324, 985214436, 447274438, 849828214, 646850957, 815054348, 913412805, 734587898, 310066171, 887590613, 64486114, 587892022, 617564425, 339872591, 962776779, 541882791, 7811216, 303985327, 720473073, 872536419, 333160468, 526186826, 154405307, 220450032, 810843246, 769622606, 662053066, 936535133, 501101019, 716658374, 124407954, 489799089, 688810166, 475762460, 984056555, 232724666, 513104465, 566918310, 216886041, 784121606, 263337931, 563401748, 88057169, 783152413, 136278278, 60545538, 279493384, 67848431, 628970480, 80422784, 668673172, 952570847, 329147601, 608371001, 40171099, 101263523, 949414005, 838882185, 573464640, 913954502, 264477261, 651042643, 851338352, 989423919, 517178592, 750296087, 101168766, 841545322, 262593476, 503877813, 25113448, 970990514, 520236493, 93167908, 550763532, 339145020, 409635705, 726997377, 598051813, 351795997, 145333015, 550859864, 205128740, 797633888, 706853469, 703272855, 877115521, 700797112, 274758313, 449058010, 575893836, 282656675, 975334060, 320941533, 511194773, 894534591, 445828646, 713249419, 414650708, 559143706, 998160648, 327322320, 806413689, 550021368, 858849018, 598738894, 639054255, 895513264, 471099497, 89951434, 374670405, 774905755, 185379680, 367065075, 253648061, 748429239, 196120237, 32590725, 384558039, 440545357, 580940746, 630614721, 244927136, 413376052, 595665197, 320682122, 245164188, 215172560, 713320797, 172185151, 303743554, 416890457, 308504989, 31308922, 964610082, 894582476, 538240752, 504596225, 544380627, 753245640, 679285428, 192841047, 328319048, 471300935, 580269789, 582618550, 614477795, 562457858, 474694021, 592270769, 561298353, 732723875, 928485139, 686808874, 472763824, 889369834, 68246615, 783504164, 544001540, 999121700, 611668958, 980407129, 696912049, 692426293, 727029910, 620292887, 395534924, 202280495, 777199456, 875582463, 284103922, 187076981, 847749567, 903065302, 741389899, 675971289, 140499299, 178811635, 27263421, 800867847, 395145116, 66798157, 388091650, 901694029, 747090245, 884788794, 256490631, 587074545, 841331675, 611261404, 974902841, 332553842, 304821864, 407193435, 92485845, 877929591, 21312148, 112591880, 968892212, 534385952, 149530684, 580956619, 155772074, 40955697, 293393657, 904948797, 902807352, 199939913, 286839295, 140609466, 277521932, 648955807, 164383622, 175273617, 899213625, 442115655, 981699674, 786997128, 901452715, 163949297, 114201349, 243084218, 661245076, 365255861, 521650014, 389861975, 747134740, 907567432, 274264618, 506168907, 205894289, 676111593, 951680724, 406294868, 95827805, 936785955, 369662663, 917770106, 49631711, 210562725, 291161228, 322529256, 68666709, 942503192, 279012452, 735474489, 146417506, 901835647, 109696432, 632863083, 528116008, 10058212, 172614010, 407366770, 66389818, 170840603, 815986284, 521940212, 493671002, 186397384, 145869243, 972613097, 905207863, 96180957, 948906738, 105921375, 221585447, 544900304, 559123203, 49241133, 857207710, 915389351, 115757980, 504534196, 787465838, 644243874, 575056843, 528231467, 733936998, 153318519, 502604972, 718464293, 990149086, 33718640, 71948038, 401355033, 446925541, 162535291, 523114236, 926050596, 708440631, 604032815, 3312113, 895048623, 519008014, 75841816, 779131225, 396137160, 725362378, 996496845, 400036795, 169293920, 683054123, 359227360, 85389716, 571034589, 615555882, 827830688, 182318708, 63399022, 332486621, 938964666, 881218816, 716744192, 752372862, 152769088, 906431751, 623505706, 713150913, 110838280, 823473128, 236542472, 727789958, 626274357, 207930456, 775550228, 476419691, 151146679, 264757778, 203718402, 936597025, 540756823, 782072955, 937144945, 365137980, 515106445, 504703831, 782174015, 157333309, 997883927, 600818982, 338026534, 972567221, 254343502, 972496774, 147622321, 543032696, 148210846, 277387706, 26962444, 513439796, 815592025, 883089626, 340461306, 765187354, 25139628, 612981934, 869478335, 507251691, 458783783, 861613890, 150071039, 573365217, 687461510, 215147668, 569336016, 427755545, 120804340, 533602702, 257880606, 243825301, 425820188, 179996808, 159919222, 20773746, 750896606, 372473346, 443905558, 52777096, 925398106, 892602974, 536550792, 249072124, 463887921, 116336059, 966932366, 394536789, 115152217, 621929932, 523952786, 937215616, 72167527, 815891789, 366616322, 920045664, 578952860, 386555747, 174100613, 961484460, 267810332, 218633879, 580426562, 474526585, 858973969, 991953836, 73856924, 69085101, 52172530, 489771390, 896374852, 289779283, 853412581, 718522450, 520611553, 695392959, 524927187, 266253283, 393774699, 9080756, 303950250, 315276286, 392660410, 793886181, 862737991, 915928469, 697369425, 709689661, 251142924, 544437917, 324752238, 724809701, 302711667, 96504055, 891618427, 541560475, 459756736, 87683218, 322040373, 556934819, 460208498, 121367180, 274436394, 923802581, 315894119, 911681164, 852039935, 415704813, 325863300, 145788204, 298194353, 14300437, 209301065, 92486953, 221926363, 376872637, 782268162, 783620029, 101516993, 114608700, 613316652, 543172300, 672120730, 227231114, 896387252, 321718411, 122372962, 868200118, 916929641, 921218032, 594525672, 990653493, 292502085, 471659254, 158821416, 674924857, 176098528, 5175459, 878139168, 218453250, 787396854, 657975744, 113209817, 57706219, 126730029, 66263753, 893482064, 14339412, 854342145, 749741683, 281497213, 347677813, 850597458, 793919412, 499514872, 628261312, 939449384, 774419275, 545705863, 577541435, 582302412, 578906638, 324910212, 406421100, 736929734, 154004361, 838352800, 602222541, 44999859, 721906311, 123033182, 597119224, 396371507, 397905732, 685016360, 577840816, 904741822, 377776228, 610002988, 686704251, 574613800, 270442545, 967698632, 237152043, 869394488, 470755564, 983694315, 977648085, 612378323, 152162844, 368507384, 470092530, 702130803, 783561003, 682423981, 87702812, 9884061, 580678054, 521402089, 150050715, 717689080, 717854976, 768800254, 373778234, 663187426, 690523948, 358780099, 267218371, 122410794, 875357658, 885209429, 641043613, 765854306, 707530278, 754398286, 164008949, 233311813, 164482382, 241030046, 92179998, 105190978, 346985157, 492611435, 14060941, 582548250, 683260302, 698363934, 249195810, 458725556, 887742027, 959735645, 58424727, 960119504, 913848988, 431068902, 155733623, 420228147, 732933102, 906437447, 226762676, 914815038, 78522387, 401016415, 430479404, 373994386, 180166242, 460678565, 491282562, 583592933, 661497927, 272697030, 615462830, 818480692, 157704423, 454038021, 322646299, 939726426, 760537471, 952217740, 900432681, 221587439, 63955070, 916476614, 927518966, 125576432, 494816959, 663352124, 949480835, 481215781, 319882571, 596489643, 554480587, 153754651, 185007264, 146757568, 362250926, 893069636, 972186061, 466464713, 625199848, 252752498, 683513777, 505049176, 143577523, 520882855, 997345766, 179647677, 397433222, 849468779, 643395641, 553193530, 691351450, 923553326, 164205768, 736900198, 539899796, 812700836, 126546022, 355774824, 341328201, 453080677, 438912389, 400828783, 814377781, 36357777, 972777442, 847438580, 444090785, 321509903, 102932533, 859233003, 145940239, 626627904, 490250368, 874016922, 136325156, 26378559, 748244880, 749560048, 534475657, 931425758, 509463716, 107830810, 639200610, 260451225, 637324055, 186486243, 712276447, 549838179, 730799376, 484246655, 405387636, 945312860, 48950903, 243460697, 449010103, 73228044, 79440741, 619603598, 407485317, 651543679, 604192861, 180511088, 684644061, 521482947, 129294089, 275683493, 840792922, 580366969, 713151468, 401846047, 508162869, 770462477, 189707571, 492461183, 577821626, 899892721, 30267051, 792225991, 255958816, 484689854, 98018887, 441240377, 689787753, 76474737, 854806007, 409202531, 267247422, 103744926, 360928176, 79695443, 20597184, 682738919, 727206361, 640426987, 912022283, 944990728, 362948979, 371905153, 130127062, 925722970, 675624472, 237203198, 228470782, 738842112, 657619066, 482651728, 370957879, 80500014, 542905792, 824079230, 798176829, 870830864, 293636709, 533943409, 310858390, 292358384, 101712724, 813946829, 43182054, 334645815, 253921347, 942606446, 31442838, 475249830, 395062553, 83808451, 874530548, 498613552, 165461583, 819224926, 550688932, 501715316, 554837534, 820093269, 784122504, 255424812, 1081882, 804341490, 418979129, 29838670, 169714352, 995418081, 710699504, 247231126, 654252158, 406640353, 5954554, 899066316, 188410451, 988950482, 768183224, 763118680, 584894479, 594197625, 716387422, 604824289, 680159355, 306774317, 308761125, 725817718, 758909232, 858954661, 218339602, 968051836, 839776100, 274452600, 406683013, 577563758, 928071352, 457812644, 254507290, 597683907, 4010325, 454416665, 804849713, 770576076, 458607821, 249457011, 847069905, 431474968, 235307613, 833740754, 132015845, 205074981, 528944081, 94072284, 792771999, 244560380, 962495000, 456768040, 95224687, 724089935, 744385253, 975845938, 921764592, 928414002, 181447977, 845669950, 292953684, 342900506, 988039705, 791226290, 225846072, 704725754, 375635333, 689890795, 376413002, 919756731, 1839982, 224106705, 823079071, 375528286, 571443726, 131510099, 742937864, 990822229, 685889689, 410171494, 804674773, 364003534, 639186181, 452339637, 49223137, 113922173, 819679946, 218040538, 883322995, 782796703, 57154167, 732323014, 971562992, 213660041, 378742683, 918247605, 958875567, 3495003, 401805931, 212498444, 34134670, 908287997, 411002023, 451491166, 538882614, 549001309, 574267416, 349091693, 624635886, 216995349, 477606345, 160521636, 195612595, 902478083, 661096349, 607875922, 486998155, 662128699, 254327615, 450760543, 416060934, 501672355, 66997675, 142337022, 361788685, 180167815, 28852057, 700045886, 344098297, 930179918, 425376569, 146104427, 696798801, 146772764, 517999871, 34879348, 548182546, 34146834, 691758497, 50848326, 433993386, 868545534, 487297434, 499753551, 23904451, 257485803, 857755558, 827592947, 80301637, 468280797, 377375348, 975827562, 986593419, 483659910, 816580871, 996402484, 957662681, 217017618, 284899511, 360769730, 784760225, 609867027, 768303477, 465644257, 767929942, 169999437, 663635048, 681341151, 703192969, 248469762, 601669017, 924963870, 601310460, 961634780, 744962727, 9823178, 652984889, 412086197, 567215957, 667180649, 839845953, 981929622, 18592808, 410750525, 161533608, 556851708, 326454362, 971755456, 980806772, 821759082, 624520118, 406943131, 16204871, 732047681, 129389687, 170524272, 184243024, 129042299, 980825801, 617574143, 935893611, 989347277, 820031986, 630985553, 645402579, 538419871, 812365107, 417580094, 44437385, 11895061, 338332760, 276344423, 740060895, 906005832, 991295653, 575442355, 252677775, 388951234, 855886537, 323767990, 570721040, 766631751, 931326393, 994988010, 471186498, 678987620, 570662059, 967535714, 774247009, 729203800, 15033759, 222075846, 277743892, 512347825, 924498761, 60635466, 835933821, 147052004, 777241745, 44854682, 440154871, 24690496, 233738584, 56308577, 598007086, 963814576, 561719994, 818672972, 780569219, 564241230, 689263344, 668008912, 790557134, 806786815, 28588306, 295365233, 119238593, 147915534, 639803943, 841289049, 447205977, 226912415, 105515054, 41235325, 805913791, 349872414, 150993643, 53677628, 361870764, 893255497, 268701280, 910184408, 88803822, 259125827, 891916340, 642511329, 319813050, 794116009, 301694523, 600751248, 211125843, 784055521, 971299574, 636836323, 867626206, 493576363, 443582901, 186877774, 136524037, 243076189, 22973421, 200676866, 328692513, 420508317, 451373669, 160301946, 349471833, 966657640, 962719709, 874989659, 280676244, 920104613, 159001571, 42580632, 168151822, 278662634, 55401924, 138104133, 626433971, 496354767, 103772982, 32285699, 586273910, 571133272, 506497659, 380909199, 703333945, 528523985, 872532356, 469855684, 161160737, 94940528, 909625591, 815645282, 965983354, 693463067, 61975531, 147449717, 338790683, 343964729, 516945226, 518102604, 431322663, 720800910, 15118579, 815503891, 184138894, 69778478, 100864742, 689329746, 939551956, 946151636, 775326698, 310364574, 368539007, 459961408, 172638014, 629486367, 37316388, 323483178, 309419569, 263866543, 300112668, 993212917, 311331533, 348689239, 831344165, 199659349, 3129267, 51309861, 741499058, 111994286, 300925606, 786444082, 971562325, 265159696, 358667389, 487148100, 225955226, 440434595, 285239998, 792057782, 82848978, 171504470, 218454092, 616540252, 379268562, 588336457, 998007040, 226384480, 638257244, 80076913, 176947599, 470967767, 477790323, 924013282, 457524220, 336388565, 849970676, 193820907, 357919452, 785214207, 893567055, 720163328, 285229595, 175140092, 283853122, 628750529, 174123081, 861571311, 357976802, 257864974, 777615348, 569793544, 98070929, 676988906, 970394269, 998528423, 920311700, 548863396, 571481906, 30031208, 48162182, 315370888, 163987457, 488670509, 798059948, 590095690, 602425902, 572145445, 54583146, 352670036, 71458305, 524384731, 419882720, 627645908, 500674250, 411438206, 315487110, 347926083, 350553012, 812909793, 424702408, 745527501, 385533634, 650198382, 585910632, 203800018, 678341767, 315924129, 470275672, 374076421, 438390347, 192311479, 293429756, 846100744, 484992012, 79219228, 948593872, 148208407, 541661350, 383950217, 117767843, 267981443, 359546755, 510694585, 18652205, 915974379, 340016967, 316856932, 437087477, 440423998, 169573632, 252707841, 106889569, 243442399, 329472778, 728138703, 789657403, 198742171, 263431290, 601107140, 252565080, 267854602, 564648396, 362616408, 210691155, 350601392, 983130132, 453268996, 866306649, 336528819, 667061855, 205525074, 416068902, 72582702, 660370770, 21602478, 753978849, 214325740, 631993153, 13848952, 996994544, 124881499, 513808143, 462036449, 950411648, 938909904, 956914538, 401882325, 669815741, 442411536, 118477579, 782681610, 496799526, 259084482, 960603022, 8907660, 785510435, 280199889, 660974826, 391337252, 749431530, 996809580, 79583184, 735831170, 538699411, 3986019, 636863483, 607328870, 688231029, 731941397, 561263428, 923145536, 441266641, 397923396, 557841264, 564647729, 489836187, 185622162, 196538638, 902101049, 157556786, 312756430, 581287801, 905420444, 490683697, 280310144, 257071399, 788487953, 580841493, 580083473, 184913948, 469132892, 689726950, 247317255, 673386147, 933323572, 649976355, 582460493, 932776911, 978146704, 808566567, 131029178, 389151934, 377068530, 199725285, 401619154, 42900393, 445950256, 401021112, 670501212, 732136025, 291004243, 4280844, 144352032, 478437570, 136163062, 22439260, 738144182, 931008168, 632395809, 132860274, 271756303, 450485010, 430172904, 388951162, 916914248, 347124586, 30112647, 48430589, 549341266, 904671958, 325320312, 187505977, 847544548, 592423680, 161520612, 581247334, 622935983, 784235700, 130701899, 859397094, 420304286, 840548713, 851906099, 847825628, 558690474, 610894224, 409971589, 248449143, 753602440, 514229638, 875473387, 496771298, 238457611, 45913475, 705483282, 109035065, 812219169, 82945314, 686587182, 486315004, 515341846, 216430206, 371476833, 111020143, 987820446, 791638954, 189922730, 22289530, 504207376, 870289042, 522679937, 867944916, 241391437, 834340588, 335012142, 262910187, 734266063, 206172810, 426335011, 119983324, 174942817, 962253968, 561241667, 171284412, 636491079, 357164637, 757989294, 960188280, 297065958, 959613695, 366715119, 480805495, 680886198, 108434486, 658315368, 580781234, 298961435, 819648743, 448396682, 191769405, 413070021, 338450512, 793560713, 429350602, 5953061, 941928046, 986034853, 439545101, 964065261, 716612277, 582886884, 66263778, 391684569, 528441565, 922878964, 2368064, 847605978, 42857652, 656572241, 178917208, 819134315, 94677158, 77002932, 350045529, 797949268, 282995595, 94995093, 210941196, 630012810, 344612556, 752579800, 603312683, 134802298, 729330124, 684517737, 449255516, 732221964, 293508036, 830984827, 385150800, 425460074, 478225360, 953499577, 146273966, 535693555, 344786213, 782594615, 103596855, 532758843, 34613721, 155606245, 630807778, 889977184, 727949107, 323956778, 390745971, 179413685, 79501805, 970192987, 817448127, 733513172, 248076636, 958838442, 947924997, 56893442, 909701229, 599283497, 682630601, 848320509, 501929787, 806692048, 52230183, 896284241, 912833243, 925609230, 932936646, 692440016, 301874917, 185843502, 181644767, 727983272, 192332519, 670580547, 724973757, 591182077, 268460855, 735353334, 904235917, 188317922, 888930327, 309973167, 735630348, 764771721, 193606761, 20257391, 160163731, 394112810, 292556318, 236168651, 163911726, 120772552, 103920549, 973229692, 525147934, 887349451, 529528346, 681690824, 114054868, 701527180, 656479372, 47211740, 741707115, 667820215, 595062964, 134087781, 855107355, 976735985, 743817889, 222642477, 243084474, 269817752, 442614723, 685444912, 386159202, 682847519, 969327149, 643072027, 39613122, 329364727, 232843747, 444298841, 967209354, 641040939, 153142999, 498123212, 428851597, 849405915, 440639129, 871117178, 123596374, 81346658, 596215404, 906809881, 750479568, 567423275, 428882919, 544165548, 381462852, 26193817, 959211050, 212308337, 582721686, 195377886, 762519256, 31797886, 229761351, 647752443, 137400388, 711254972, 203521234, 874425518, 239562455, 947730476, 782944731, 174336441, 677112082, 97896315, 188683074, 995286011, 96243316, 366262804, 638476876, 413083525, 35070240, 983217102, 132945753, 176218134, 324538820, 469584297, 452525437, 285552678, 428454109, 249897492, 302435334, 942682025, 96680475, 628200075, 625315780, 323819912, 678361023, 471787648, 328490738, 287017865, 766087988, 104027778, 108620917, 549973126, 618670330, 684525546, 336399626, 817890626, 945553112, 546826216, 854261902, 213992804, 682834780, 227463102, 585275290, 603586903, 651670470, 947771924, 117214732, 518661633, 183387238, 248633075, 708735526, 562836699, 263981144, 564995479, 392835919, 656309098, 749484942, 989728035, 376119257, 962953474, 537921204, 281854422, 427358976, 966975887, 798653632, 532681544, 681364101, 721792974, 140288494, 502219879, 347902674, 559097166, 358783724, 709031787, 714634975, 956991303, 736448743, 312927464, 485319514, 563809517, 926212704, 778041080, 149258548, 874929181, 668642067, 234384280, 728838419, 103680275, 397840246, 984156124, 661898714, 796767660, 145421386, 839082528, 114697275, 180154324, 814022372, 312263593, 755598747, 147623557, 16294144, 213960942, 545488542, 313286999, 316314685, 155297346, 13783134, 535429706, 708444258, 93717437, 760755940, 880601217, 916921836, 175871975, 724729278, 637843082, 544964304, 814581098, 216771338, 601826716, 598466968, 453646955, 565333411, 463808592, 605619067, 79120383, 109341503, 920539882, 40448815, 264943981, 964941306, 535840515, 703724999, 392781304, 988846519, 146880848, 581516940, 461266736, 991942970, 351330773, 697310691, 275606735, 458196520, 538229558, 837311516, 320157928, 563841407, 443067420, 790259551, 937906063, 7734929, 629418218, 739972635, 253901870, 183927010, 594572049, 728960919, 374361201, 840045557, 481619677, 273079652, 2350465, 435355504, 83955938, 643126125, 803640365, 803729988, 623422534, 267249059, 26857414, 553460825, 524688064, 624494055, 95881198, 925034096, 2162590, 748495905, 810877147, 837111984, 132060726, 671523574, 201777605, 734685911, 324222066, 136012495, 745040898, 361327749, 712032021, 842382115, 235854152, 359031475, 386863477, 866670761, 235885664, 552572804, 657718486, 636140542, 929971793, 549125356, 655924750, 189815157, 846139984, 119076093, 146136363, 718109164, 199851215, 548904570, 917872396, 148761533, 612515835, 840088362, 420294069, 687144102, 395852367, 930249590, 359331082, 153013724, 810582189, 449456506, 255615884, 851499307, 300133549, 232994488, 600441166, 559242926, 953890971, 992881096, 651532658, 697194348, 861022377, 141951983, 715556227, 608870981, 822163138, 282846174, 309699916, 748617148, 825019626, 120516327, 547514923, 603699724, 499746069, 187287594, 796048187, 612887460, 246424092, 995999823, 225459940, 83960964, 758501974, 618085698, 544264334, 737887618, 63079131, 313131524, 453601555, 699137881, 580843061, 133225620, 71056546, 705450987, 754601523, 185556287, 295904860, 329592280, 225944404, 217627313, 371596510, 417268664, 700900190, 312972669, 903298303, 828271073, 559088294, 231974096, 344725102, 125767321, 528663412, 869516935, 943491247, 682127376, 306784321, 235294015, 301436899, 269292283, 816555679, 818126727, 393584521, 954516685, 344308938, 691826372, 278811066, 323303841, 332696304, 264936089, 488226740, 537166370, 724505685, 864681293, 988496260, 156143476, 597599288, 983070127, 581904290, 466934858, 364036565, 278930480, 926994905, 703371818, 772030825, 291619437, 419033482, 855161445, 299000591, 206283340, 960010587, 964323976, 989838508, 363854560, 596777835, 380853670, 366039001, 790439445, 935594359, 271674448, 230202471, 356539077, 245939830, 291836878, 709083562, 827374318, 467936050, 974766537, 899956474, 245152841, 134424980, 736463811, 746016845, 83795152, 789487271, 700611465, 646641584, 259346301, 362747979, 684366287, 51027934, 895278873, 481643936, 414101397, 931723679, 749222736, 251404085, 145667451, 707808044, 182242583, 141134924, 991902258, 77114999, 118980938, 842411594, 381208299, 231692597, 451232892, 912310119, 739076790, 341406312, 502643091, 155839684, 790200132, 370367613, 108957014, 102705540, 875568064, 588967951, 645400124, 845748347, 124346572, 201849797, 879850709, 60638398, 707878279, 633573623, 387949453, 589407593, 399939845, 340223721, 95958947, 798133771, 123577506, 690181918, 204689593, 723775556, 912655457, 675418641, 122373652, 342538857, 381045431, 210575632, 842829131, 289371934, 834062245, 87043014, 200804860, 642849830, 567598452, 152815598, 459440899, 237530418, 674542604, 956067033, 38367871, 905619929, 631789795, 282780494, 869335178, 900012177, 818885498, 224157346, 238512723, 52167014, 70098021, 900131785, 652237166, 142393312, 967410949, 48852687, 549505062, 151315131, 68107520, 481137284, 954372332, 349869726, 428867625, 661640439, 988392345, 562477770, 471393170, 590252585, 228283375, 882605925, 830431892, 56890864, 168720210, 67310399, 685321690, 231948257, 86815193, 351832357, 797204161, 306207862, 328799709, 280990138, 875638044, 903264057, 209458804, 612555855, 979321801, 111855627, 619822053, 248120975, 559092919, 703083443, 51404116, 161811033, 223545428, 401506770, 378865307, 804471811, 697678865, 894828203, 155496351, 809953324, 960051295, 509918443, 563499961, 384296715, 499056058, 774329241, 783285144, 569217708, 819543058, 21200376, 729790186, 959570454, 867112589, 317749624, 256766039, 980091400, 406701926, 838098067, 461138118, 676348862, 215072648, 625298807, 405887456, 612803826, 975445130, 746688059, 278737402, 701864808, 166514608, 896654911, 821765968, 525342111, 774106881, 235920200, 325168445, 700692214, 48332305, 160900224, 413821769, 439197063, 896268668, 811703619, 37660191, 393699640, 463788166, 617838295, 358278376, 798780230, 810650097, 720768406, 253191197, 743693715, 757890924, 32278360, 178775255, 286534826, 639642998, 61596883, 649262900, 618602688, 731365106, 446542385, 549782976, 614246769, 742633799, 870879290, 387598235, 821561904, 622268470, 555922322, 425016015, 178527934, 529314711, 189222790, 343391814, 742601893, 48855808, 834439768, 738259912, 986824397, 44205841, 465282457, 362436617, 281557170, 697252055, 421622548, 793275891, 472121631, 729724370, 113334202, 172107389, 945774381, 80163070, 659737062, 452243356, 741304242, 557020488, 25998478, 445754513, 843321643, 142655784, 926691461, 956266541, 299200232, 325041263, 582963906, 182884428, 810208714, 776663497, 935796134, 246794724, 753957204, 878846825, 605702752, 492279222, 514118294, 434581593, 307023033, 828379793, 863497756, 980708014, 307150294, 911378286, 751505071, 665564608, 263964219, 237983645, 440132621, 670225984, 833912890, 524153067, 554516693, 703913003, 375427253, 205811627, 711783980, 267010959, 255321173, 920653275, 678343582, 471694598, 917324156, 642458584, 43941735, 486824068, 208768226, 494618621, 808674675, 966711433, 531185651, 252954246, 496252267, 943661490, 540824821, 891995746, 597152184, 251646910, 778651072, 551825246, 231105659, 596865601, 274733551, 429630594, 320866759, 427879147, 412398869, 71647561, 748208189, 157662435, 872492150, 851710541, 919755601, 196422947, 819099367, 849479766, 221853201, 282854892, 774145641, 112487324, 126044274, 787461569, 112445786, 476172515, 443450430, 508778771, 5395576, 772173898, 21910541, 124237776, 180203760, 314337557, 744528824, 637484454, 8702526, 562019173, 173531669, 347089809, 321561942, 704271528, 965129958, 527464356, 465609029, 883248213, 41728750, 273360639, 149351226, 686622141, 842813077, 512184982, 18022676, 833705669, 39758546, 472058205, 182954011, 944480471, 599202214, 411924464, 722367505, 477484445, 88572130, 996774307, 908728271, 955738218, 322769162, 158627028, 473591086, 995793318, 631779904, 245479192, 278051091, 371823437, 566022223, 457146103, 535755660, 448174498, 280352182, 68680985, 730835832, 135910580, 387227277, 875288473, 443489763, 872466314, 923362864, 598554013, 409025615, 353050524, 257698493, 18631209, 900098477, 651152100, 364598234, 915113325, 478937968, 961732421, 406552237, 964167033, 203316272, 974350904, 523570237, 401100451, 438133214, 470177957, 686792903, 155498072, 738550700, 753626332, 853876646, 750451198, 962348170, 826185480, 734782443, 560061063, 575826394, 823818562, 717979669, 84388530, 951398669, 883458798, 226832531, 620795519, 92525922, 108589328, 843355577, 650157608, 520909801, 655283859, 305787552, 375750882, 28722234, 605010248, 449110059, 447652199, 793646031, 563131306, 971666324, 652448576, 376880295, 788743601, 735468533, 31965161, 310835020, 838042887, 925753086, 960112390, 545636609, 483477384, 761412924, 647930495, 422924217, 534777769, 357689055, 362449103, 680323028, 830205766, 590466975, 961173972, 659629864, 577257930, 181635739, 723387461, 614772090, 114533602, 224753571, 798622135, 665797216, 469430367, 888315891, 137048142, 387441032, 791558534, 158618858, 724555995, 829899136, 118945686, 408346658, 66074953, 836198994, 200733677, 990058841, 977021988, 645597388, 432968258, 602367819, 70608267, 85198549, 429248497, 515499713, 264751801, 829430041, 247121299, 560448993, 335526998, 552800864, 56619218, 126128790, 333810257, 834598653, 673858949, 917703774, 490596899, 597851871, 949283412, 375560421, 852190511, 110031150, 777373336, 573910543, 623960704, 317057846, 761329138, 898886450, 586190734, 368970180, 93611430, 49463570, 584113656, 48581324, 498627749, 625553709, 337168010, 635562267, 827020488, 366124443, 269775528, 996406510, 121939195, 155654252, 945666556, 653271735, 703643132, 375171106, 344743950, 32766206, 220872711, 847373337, 77796023, 851662626, 690615951, 165062786, 285135414, 47560482, 232866427, 600653309, 610921009, 946608452, 370659752, 299790833, 556797077, 317392431, 728996921, 882039312, 812101131, 541300161, 91291937, 989542177, 397362663, 973531403, 585584450, 981982480, 316039418, 662551037, 226915103, 203312039, 143976765, 701906082, 444690820, 802868661, 396580790, 479768532, 131383596, 371185447, 879643865, 130426830, 260811502, 448547222, 922420153, 383368891, 758309537, 40083386, 785278508, 617301368, 535537491, 117875822, 193695507, 124504197, 990371664, 49468839, 707942762, 256810044, 593974449, 233599970, 31655224, 904044611, 906498658, 617446460, 625281483, 89528403, 53993303, 926473334, 814352834, 654304568, 648489131, 737846091, 738205639, 296718864, 44141185, 650029042, 902426598, 866500627, 129073753, 321274121, 246275242, 441183119, 565390718, 705057017, 402143260, 755711259, 765500561, 974247985, 232362235, 945257581, 573646992, 675480090, 48897954, 966969220, 539643045, 125642860, 967919172, 177385483, 264547766, 448730589, 733759180, 100479216, 962184608, 449324466, 527173438, 620232651, 1044952, 874791617, 799175430, 898296760, 220025969, 747480294, 828226551, 659770121, 985165667, 916201836, 227931653, 770252648, 93338716, 72106530, 663457739, 891661893, 178804041, 412580526, 973077257, 650521984, 316426544, 853350714, 907065887, 705009272, 316153240, 992177255, 992846158, 771923063, 900470907, 493143686, 243324252, 24066574, 202750130, 40908373, 313466710, 803559886, 481696294, 686598392, 892411813, 450625766, 470761109, 113762999, 246395466, 352718947, 647615773, 947930311, 140405987, 341230165, 782699586, 395590923, 897340652, 276748572, 159229100, 563231986, 306441809, 951344915, 963418938, 858735686, 284719727, 25037538, 39519376, 328287270, 669581793, 340974699, 408799646, 237651490, 499872735, 391283659, 188930278, 14579922, 436349321, 39741399, 219903454, 316386652, 790332018, 496992050, 470225844, 392107810, 542286639, 683503552, 332990074, 501545268, 797877595, 851307077, 191451209, 593189406, 976476183, 918321591, 340620296, 558449182, 302661099, 582112417, 844539054, 352913972, 853947180, 681440402, 480309828, 312390779, 784437523, 845403649, 915154630, 41737835, 418090345, 906117797, 349325996, 610038593, 724067955, 356683495, 993853901, 462716332, 148537044, 73972169, 55868155, 203298394, 906864604, 916946577, 815084987, 353891572, 906977314, 782787956, 938121265, 133361503, 472549069, 652414305, 974730419, 426577822, 692131182, 216483115, 33029046, 512325951, 762412000, 550037408, 250169400, 482454718, 924596609, 295013073, 252338038, 495012452, 895549135, 748123400, 816076489, 994413346, 781832298, 951782049, 317176914, 430667904, 191375258, 447442954, 365645416, 393784330, 181436151, 713216279, 980911505, 504089297, 65076019, 732200793, 74283652, 489241661, 969314584, 31956688, 842248434, 812446840, 368730011, 448106162, 847435078, 549798870, 912049413, 324857159, 204461086, 97965855, 864245858, 946407091, 786731601, 187637036, 638243015, 547325436, 819807071, 470771042, 240526815, 659446570, 253216426, 529583416, 544137363, 678584562, 262948389, 813002202, 193256116, 709494303, 818194550, 321957140, 158070998, 401790555, 632402171, 405718294, 234198655, 449015725, 494852498, 434910352, 612575771, 196481955, 417211510, 52952574, 244013989, 304062532, 479964333, 846729316, 362553474, 428455502, 905540917, 466451311, 690422856, 347383216, 686096120, 166727250, 372543626, 803971123, 413072049, 744530051, 312646817, 651860642, 315617765, 198084912, 929952566, 676044212, 990101537, 846609042, 869201595, 491651700, 691213736, 177812976, 496589603, 3930285, 142498882, 351086654, 711706061, 513485816, 209016986, 198161565, 318175126, 358678168, 813550908, 791699733, 512842910, 761190592, 731977554, 101762387, 37165904, 563710129, 360917323, 771155987, 91700843, 333685346, 210741277, 351212133, 894445529, 990359789, 415394517, 709048551, 389320136, 897199670, 424202332, 902697222, 635339264, 213404382, 342834996, 730302689, 367146097, 841718042, 4313027, 806444681, 940519228, 979508489, 773507913, 599663776, 967439090, 629420342, 108327119, 35524987, 82559623, 717646284, 805656152, 123938029, 751486783, 89742755, 346532241, 375983428, 362705648, 656151728, 848359521, 960892428, 40268492, 724016588, 311541664, 924532927, 315322301, 46946254, 880835131, 725337175, 233766344, 747956046, 770317769, 933188723, 946460600, 864177419, 202009922, 272683751, 996809314, 404589018, 505837882, 400155825, 764075525, 500977568, 304999105, 54297704, 308255967, 437865517, 593531618, 895412304, 780615091, 68238547, 892242202, 383510860, 835955153, 288007681, 290077607, 725158530, 991253866, 293788780, 499353262, 276190170, 164662264, 814684918, 761601858, 797778622, 176538697, 485855967, 242199137, 922649146, 863508678, 978802026, 327919610, 26942222, 748722068, 124246020, 250811278, 72880381, 586980827, 920279872, 743185684, 440647170, 115741740, 276079905, 957864927, 774267402, 81995601, 432648533, 662176181, 963624365, 947057721, 654054611, 531487020, 719409054, 384158510, 579991564, 199667250, 776044571, 987282549, 649542720, 37020691, 295051253, 846724699, 359612190, 10653281, 637124217, 234492826, 540541846, 578177177, 517822507, 378166291, 867677699, 958440377, 965863764, 610905036, 584303209, 778017021, 240318797, 967976383, 248393477, 673311159, 535544123, 508829646, 947511145, 440416839, 398664266, 775721188, 17901182, 928525010, 822322956, 76724319, 623014478, 941705693, 693690529, 799833328, 288626941, 121536345, 29787496, 23272066, 913803437, 148025489, 506731940, 330899927, 936065945, 185207104, 81412404, 583456663, 92789617, 794426427, 554662868, 914244242, 641814454, 563110357, 521580857, 796274956, 17062014, 453680425, 825067718, 701019445, 488772760, 166482561, 845662949, 790848412, 607962624, 926785143, 100325840, 845605469, 536504365, 172738902, 950150836, 157103574, 624217053, 972972993, 229128307, 890024802, 99440111, 655833077, 272720878, 8001316, 386306681, 459407657, 206806525, 41044464, 504743238, 681902765, 551407904, 822265562, 119818230, 554751426, 872237620, 80765587, 526814195, 496555341, 362743275, 360166747, 362542046, 354383497, 210238766, 949475353, 116519027, 18026523, 141501759, 15744217, 483895806, 220949684, 91981485, 745007573, 816690628, 197997175, 679239484, 178139322, 17349598, 283982061, 969216171, 27927395, 908842560, 55970964, 66320655, 493289383, 51484036, 852337796, 461920546, 609830269, 706227887, 755299913, 316028802, 575294921, 237296973, 646033459, 954387313, 462794767, 938122610, 291992001, 179594118, 398210788, 572467529, 383985280, 522418100, 272067301, 214265724, 64405836, 716238503, 326584263, 959114841, 623204110, 957154855, 882436799, 564820758, 404911711, 948342613, 562074516, 187915643, 797667724, 286119742, 568673987, 199580791, 927453448, 820890341, 631624447, 411314520, 30920346, 155179461, 350791222, 503803958, 192577269, 481384043, 686254086, 559243539, 813885471, 555679068, 613294239, 955566132, 921243835, 555379746, 771984614, 619044282, 970100264, 631210990, 652446036, 581930927, 331033046, 987366180, 330874759, 962816051, 710078737, 459100782, 998577944, 109955824, 603549286, 452016882, 248992001, 907855893, 777689396, 220815425, 402526451, 971033199, 147585342, 269555788, 834701407, 16162240, 546823124, 630286757, 337582940, 349941940, 154747071, 119298487, 915857289, 190022260, 561795271, 553656373, 642416680, 319951043, 675516184, 946555758, 266939045, 144293774, 316645655, 436315339, 424686353, 509774882, 549240197, 202859084, 133531691, 393378295, 481901600, 368771988, 117382665, 810378115, 506524290, 690937952, 747441025, 386328964, 832528737, 342202166, 37409419, 559784531, 385545445, 717082393, 506362074, 118629356, 662734406, 132705240, 354586972, 69079272, 985016754, 488442277, 861389226, 616325334, 586913331, 897835779, 487999350, 696381688, 634577099, 627943557, 768398396, 368364344, 159548776, 368661906, 729559801, 652533871, 847380326, 537829281, 820589246, 735099440, 546023179, 770712513, 195096214, 51184676, 621271140, 77438003, 882970418, 85707975, 806947528, 253849811, 21737272, 584277278, 105047871, 778216078, 457377967, 367761904, 811455424, 897662859, 896918474, 953042559, 354996489, 6668198, 712435861, 313406227, 281123611, 872355882, 344591957, 387924436, 435208021, 284088565, 757485750, 428421091, 479725110, 435927011, 249390634, 828260862, 352897681, 691655779, 612760446, 557450231, 802356457, 150103935, 731250212, 621814512, 901783826, 759710384, 62099085, 497986814, 228689319, 693566725, 821415287, 609701179, 320669350, 901620111, 740576246, 892970886, 669029416, 282096076, 695132706, 614510480, 378360626, 413541925, 724723496, 94799794, 983704806, 778959870, 773072900, 645418474, 172206643, 496822157, 187570827, 636596108, 433258131, 693429919, 488058061, 305507874, 518749294, 504415133, 935823450, 864300094, 563827653, 702396493, 320403650, 153989627, 870023628, 279172692, 362036116, 843808498, 754112598, 835536626, 662973361, 926787260, 978833465, 370156026, 642846463, 612649586, 242945524, 324870280, 389294411, 91821006, 659346231, 568761778, 577646570, 668614049, 610191416, 801266223, 147325505, 202607579, 235877965, 521206449, 18072391, 491247920, 964209704, 871159144, 787595859, 470433385, 666756521, 111238272, 906974373, 619644987, 943309867, 971924635, 682491172, 610970958, 816464478, 551506153, 380296301, 845384560, 777178168, 627304729, 180782487, 257273385, 604623722, 549464867, 742955570, 140449242, 169698540, 939828557, 850804295, 874790260, 312562046, 239497357, 668948721, 673831269, 505813233, 854342981, 848276653, 78116846, 969973819, 187005413, 884876445, 786527118, 755741896, 975523179, 861218223, 72594163, 856342236, 955061670, 71671901, 593910759, 969252391, 962466252, 38276276, 633591851, 846019485, 23190085, 342341451, 612766864, 445533771, 265894038, 537389916, 166353085, 70005218, 863606089, 589031221, 482954853, 39851757, 471010607, 169118392, 467840606, 230535089, 384666057, 84948039, 566091314, 733625701, 243760688, 435349717, 967714962, 645221178, 463066682, 562759383, 525873423, 19386117, 725253617, 292729873, 918693485, 859835812, 787339212, 135322753, 699413896, 875357017, 175303933, 873464431, 300576286, 626326142, 397910744, 323942517, 300471274, 915629920, 21517828, 804960766, 791876703, 120572867, 873499367, 473882044, 987757669, 282881450, 95736448, 421292146, 714393695, 548569995, 376936567, 492453765, 480203167, 958575214, 349018917, 904050928, 163635792, 913991929, 975460601, 184743683, 736625113, 283011688, 150664529, 641802421, 497677548, 162207721, 468207625, 617276271, 971106208, 255731169, 37858198, 418024471, 865332320, 64177044, 536711568, 721723407, 547517058, 427782311, 513592727, 176914790, 953382157, 434835583, 503627301, 120568472, 823696867, 79104825, 625926819, 606348074, 921013876, 928090699, 703668918, 741217763, 648726166, 459005552, 193865966, 639402930, 391985929, 449265012, 918430314, 247871683, 526427781, 721251751, 575577921, 635735967, 160331015, 233239742, 414323421, 405041892, 423269481, 198896906, 794218155, 189728460, 870059533, 472499936, 305274527, 723668632, 955063944, 444927978, 671727165, 845825536, 661838267, 702583072, 128134689, 581116945, 578896201, 719162822, 864623712, 637926046, 649258254, 101257691, 882453998, 131309609, 179015066, 545450681, 514087456, 110801357, 312574922, 95844684, 974524591, 842610944, 451195769, 637728200, 837231725, 994849953, 115344083, 200931877, 693666554, 998179997, 943087158, 653619255, 584810700, 270750505, 35533163, 350605234, 824429397, 700395125, 610765952, 522958969, 250455713, 546099478, 732790117, 806679854, 370390324, 703127494, 605872653, 664916820, 697795677, 109285000, 12848291, 532125980, 930371759, 249008428, 504468020, 554182561, 152600045, 762724492, 521295193, 886043211, 276584874, 545862236, 341460909, 939995827, 421727484, 238783037, 603908067, 148336664, 924953064, 413346826, 472543538, 550008973, 440221293, 713306025, 690039055, 347809902, 132728802, 290599296, 366753108, 520884267, 577759492, 570052878, 58429172, 875302319, 824983291, 603667506, 685978649, 153547422, 695755808, 278672294, 778223620, 702153480, 154267155, 802710558, 834562236, 572544908, 820033270, 707853596, 929407866, 423996964, 638724431, 799301883, 445927712, 256211254, 45009795, 964602840, 614887086, 473764531, 837203556, 780870684, 198614492, 457100505, 118101105, 495015067, 404215164, 405963468, 879392327, 125063008, 337277397, 776761253, 387315726, 43255347, 289117850, 429721568, 833863090, 222855094, 733641616, 28916669, 654893178, 915685612, 790422521, 938926337, 711829846, 786695410, 199284649, 106983614, 785313535, 56824911, 666430714, 229034434, 867956206, 705437038, 311123410, 578238881, 625014416, 520587004, 28530274, 799492901, 519512425, 354354371, 359203934, 514037109, 579287066, 40980093, 798543539, 86417691, 623355981, 381866757, 922861308, 878081616, 504912285, 660888746, 118746150, 576676168, 206081698, 507473097, 584674059, 290605157, 491761076, 299110119, 9955174, 275454371, 392094021, 93319559, 223706189, 580266070, 908032828, 438271143, 428493344, 708933469, 20931259, 745337821, 52421785, 610288959, 71586602, 989659869, 342634610, 706586853, 631961315, 48986496, 312644007, 29766387, 834637363, 931945956, 460144696, 332035306, 786464081, 519715711, 140909116, 599066810, 525874842, 71173980, 407878913, 211554331, 636512351, 520133172, 873237549, 195016256, 976366731, 99996747, 67452709, 913600950, 257002624, 909637757, 567717873, 189602049, 885571169, 498002808, 168531706, 226972467, 582358104, 952602958, 957189485, 120601339, 647456831, 118376096, 822977980, 140262582, 478483929, 34894687, 952692666, 92611159, 339100333, 587067700, 694754188, 499023511, 398949014, 194530494, 503891134, 590144570, 886207477, 447895591, 456368129, 959528930, 33608168, 389718730, 808971229, 300743435, 868960284, 885760553, 510273656, 112921352, 778655718, 647806864, 456490073, 624096489, 646563031, 448403357, 929520491, 891166314, 609350543, 728330103, 278876507, 725933572, 100835178, 657142542, 450272937, 719438672, 665888034, 737955839, 222943908, 884821469, 985571424, 855411249, 62772463, 996688002, 475598332, 79079839, 904904146, 62894403, 633970161, 993814930, 990993344, 924172907, 972750798, 113184466, 135320443, 359322552, 104163950, 742715925, 879737918, 378847336, 274506204, 832370787, 991570048, 519150075, 478013526, 88848534, 969332950, 37288029, 696767609, 571942006, 675431001, 389323006, 617322853, 790580784, 388318327, 532313247, 907234407, 798742378, 609153752, 146245811, 130912812, 272152077, 479563218, 354968638, 345831936, 589166114, 268442094, 994261268, 460267230, 299625075, 985041278, 969638247, 467935713, 911095004, 494386141, 564815076, 601899392, 991105543, 269209594, 420541135, 338860761, 97609409, 197350252, 320212008, 538243644, 900677213, 392093095, 229727661, 290440207, 945731494, 264527472, 314641158, 201504846, 712821515, 397150366, 271527131, 382308257, 293827215, 677016548, 495822352, 742947971, 819303177, 821452071, 401724294, 71005403, 682268247, 610890273, 591195824, 865455197, 776828260, 141848417, 500825731, 480240463, 634818064, 640032449, 191860491, 428907065, 318018757, 817389079, 359687806, 573648856, 533958869, 740311800, 820227601, 86672685, 22987391, 749849501, 341859539, 818166859, 70993488, 707811098, 89724463, 115828962, 749488545, 151344794, 230705064, 530832728, 517707839, 647826881, 859533781, 883479686, 845500091, 704740477, 581245383, 386975655, 779783744, 395610082, 272447383, 204963666, 399428703, 911011983, 152799301, 283296552, 951542196, 702188635, 326132295, 3518524, 772401578, 914225041, 380946398, 514687327, 146843590, 491000627, 999145088, 922738654, 452494896, 190968935, 885010551, 601628037, 943242211, 502058206, 615485575, 763189649, 899244519, 624615923, 84602775, 894472852, 282740949, 24679282, 296728458, 171757072, 786211783, 400358269, 736916675, 915329710, 601321199, 438365468, 573205988, 697733728, 79423685, 174722553, 810295102, 423887149, 726560267, 701487460, 854738798, 361803767, 917926019, 382667243, 16857553, 770326447, 766454410, 925784730, 874537095, 422442738, 789163678, 518659278, 555171414, 137871610, 812321722, 787421783, 114427480, 608366963, 475651937, 259548850, 11257041, 105644045, 31030178, 200203792, 626072257, 881334152, 741024777, 246136840, 485612512, 290094502, 785608395, 364709515, 111401157, 448080266, 848748527, 202744637, 406207528, 951971976, 196498792, 219994638, 430753246, 41907921, 50090755, 507288974, 851100191, 150711034, 185184434, 363715005, 208372238, 442238695, 184775073, 330350084, 120056672, 911016541, 590098192, 292211370, 945864024, 595006327, 717549070, 453423086, 468229912, 510094179, 376925322, 801382017, 716185894, 866452845, 582785185, 937305364, 917679636, 675396144, 419710425, 203832656, 964444087, 978169792, 531013164, 433446551, 243074267, 555600441, 326626753, 676174870, 894295117, 87113997, 530887097, 565402930, 808346054, 731390034, 979424833, 945717731, 440783878, 14531218, 755145220, 397246327, 120678701, 491372993, 921306915, 173281061, 830988627, 695978989, 846905594, 721145678, 510756224, 467272661, 769762270, 523636362, 673605071, 641043672, 590034667, 772854796, 938943598, 547426985, 254491766, 501178618, 177416255, 825361164, 34815177, 449638180, 174911001, 501447468, 512828912, 341285144, 344359783, 576074197, 913849585, 207899745, 720944505, 666483169, 267852718, 25184021, 72214146, 913460738, 716315843, 582704602, 139527057, 194090549, 667803162, 976906640, 335051167, 817145750, 861104511, 190788338, 568443359, 793546061, 67955850, 645797138, 297456168, 462934768, 528562812, 790199250, 958239958, 575191807, 858772587, 30848023, 698502171, 668299072, 165842207, 845955454, 912517236, 383700310, 865379880, 507401442, 438831369, 761926130, 818389257, 287294174, 87140657, 51031261, 554711503, 101929939, 29117506, 554037463, 807331168, 668692818, 18987664, 807178993, 257773416, 858874415, 907912829, 68353, 376100604, 36135161, 205399011, 794573956, 132655420, 929044057, 103484174, 264933920, 241963438, 390128691, 131727401, 891818842, 380653782, 424036044, 750689140, 313280798, 159118049, 767204834, 316241615, 288378557, 743423444, 588801799, 41574277, 716344635, 955069987, 83979304, 931847016, 382153601, 407517223, 486743294, 313929828, 871591406, 946712695, 287892013, 988656924, 517690992, 92470230, 327528683, 778976042, 746690211, 785948116, 306413103, 579966325, 74269445, 681277427, 967012008, 451371480, 671029794, 320073901, 522310164, 476177866, 726815925, 676188664, 962201388, 394948713, 40819039, 555469125, 244769131, 773174749, 682308862, 363034845, 380280564, 818714433, 909003905, 497634380, 255580416, 197230403, 382868310, 708344239, 597555315, 727419602, 173559312, 719483213, 478438391, 865806353, 813666220, 619905416, 185710089, 464344289, 508100892, 421434456, 861675336, 882066241, 518005474, 207866915, 902107627, 470228399, 876344503, 284327746, 276995605, 807950067, 157278841, 797490110, 4318800, 979706900, 975161979, 108085643, 683530388, 619727982, 125393545, 269000322, 146545772, 93321641, 966940616, 610229022, 552020660, 967631481, 508325585, 828406570, 854437374, 587553575, 603566518, 691648842, 425491557, 924610976, 846353104, 754913294, 789764036, 403013936, 571715756, 66521120, 305571473, 816554478, 639773753, 27330548, 607821141, 599756211, 759617660, 47933479, 617397433, 270978467, 592437766, 189464596, 900039752, 387842213, 616195169, 509392946, 528987973, 502224993, 761059692, 756699584, 685902791, 992268991, 41870877, 632578205, 262155416, 257478846, 558436028, 971893265, 750985053, 774569189, 735338571, 625886341, 120948397, 652204704, 351926629, 57787725, 781755630, 852095836, 631986123, 468418515, 622166523, 121175670, 618256315, 795064942, 62391244, 75052207, 330593728, 774438442, 901635317, 995728790, 35449154, 977756089, 102222121, 536299436, 540336919, 665274156, 275895242, 435190332, 720410208, 51516113, 107847961, 617865613, 603041039, 97554505, 449853057, 992863026, 840853492, 287108516, 804613569, 536006520, 772405165, 620211195, 232413628, 128811559, 122881008, 991376475, 875267741, 532113662, 321693338, 975641371, 828848217, 518673573, 650212667, 950702252, 866785110, 902089554, 923694752, 421682746, 444991769, 780386297, 568398661, 760846942, 669726259, 424324973, 890220435, 989005638, 951243561, 571152291, 640320153, 129189337, 879292177, 758013977, 118523487, 947449045, 641568029, 926562039, 538009004, 738974908, 389545399, 975850450, 478549053, 885570328, 919903061, 548839221, 596395846, 679356941, 528544934, 664668733, 701827492, 117556191, 179941844, 433181650, 774470648, 30854782, 290528406, 468734480, 712337616, 772616748, 215428280, 99089571, 515908312, 406120275, 207769475, 33563275, 406690076, 113820851, 891849259, 609173176, 75147826, 140291627, 326972887, 769256361, 681967320, 276629243, 286826516, 64950423, 269008316, 809590292, 850939526, 58235649, 614939252, 424457157, 647537659, 358164984, 259016052, 303516427, 785984454, 601184931, 106030312, 5998727, 524504942, 812721732, 461157005, 178354396, 152409885, 516128535, 430199091, 168784559, 662354451, 655147867, 408356280, 187876856, 333515959, 601742036, 610390451, 196384652, 117989949, 650953252, 319813300, 23505050, 304530196, 313942510, 485769893, 830218644, 231045314, 619542891, 437965636, 44142073, 930451503, 187993125, 828840567, 914262260, 213381201, 733082963, 858152055, 15830047, 71270292, 220377931, 40124663, 849009757, 819907193, 791092435, 939876008, 65465234, 933036655, 414625652, 450827207, 656416985, 13444627, 598078943, 677025309, 361089149, 752988884, 834009648, 861506231, 770689207, 884130674, 177224345, 126612580, 789658899, 197956090, 915432131, 567012012, 625435560, 39745947, 113233257, 216878086, 764194283, 997352143, 992561115, 413179692, 741821098, 72198651, 845618824, 137099838, 152133575, 981003388, 545338440, 188568305, 41850756, 84836088, 485289799, 256649750, 815859077, 68143914, 698307063, 341770448, 831413786, 624812339, 839594974, 54603881, 827342920, 371916940, 64291861, 272802423, 595917184, 744552636, 145634024, 525806521, 273973587, 25103711, 357701569, 980437449, 11070297, 517708261, 321408826, 673471887, 987678893, 678824354, 180931897, 462753148, 166585117, 291764414, 312377805, 643609168, 699621565, 603420805, 674729788, 998413532, 33125482, 608908312, 789750750, 589034474, 415906930, 118897538, 586005049, 943865621, 221449237, 234385985, 619537389, 1186247, 748847028, 926973788, 397884075, 7631353, 470189532, 790612651, 662590249, 61841815, 102404571, 951719831, 493833038, 928184439, 443559631, 582039032, 537321667, 561701442, 352735562, 352281458, 561924203, 280540477, 146829736, 963498014, 240636694, 131357028, 305241902, 822732649, 994638145, 332115396, 667609932, 450752317, 120435524, 707879740, 140088111, 397844865, 477290642, 60185019, 81319104, 945057898, 904560343, 21211633, 189105354, 419211917, 658739095, 893774394, 333034316, 513776832, 982939692, 297688013, 366356244, 837697635, 385102842, 136481595, 133364596, 341798919, 519790827, 486874168, 968104306, 193761680, 616547434, 149414574, 503670303, 200884236, 22111753, 111156035, 672306792, 924894651, 326363250, 592093242, 439239193, 299249244, 769820040, 457033942, 412266044, 599768636, 881067733, 664392363, 744229233, 783673056, 522971663, 228860040, 346009862, 477608503, 979729505, 877812343, 472043434, 633095925, 156513369, 30062947, 93285489, 193316791, 810704334, 118258351, 657248994, 563149132, 481417454, 747715626, 823544454, 914145156, 691603228, 513384532, 832889769, 125946987, 475227931, 323210055, 88918569, 687479879, 188136847, 609867159, 771171326, 192609276, 218324003, 635857258, 830657881, 420054612, 659122980, 871737936, 803841644, 429712012, 456911862, 575360313, 474394394, 259342497, 777085595, 554873611, 72962591, 624853492, 130894031, 265773281, 335423979, 822523384, 852360455, 327410962, 970159470, 396262082, 559115473, 779473230, 957412248, 186592317, 713599983, 178937507, 632714033, 226757799, 361460316, 133814744, 318035156, 234564798, 292069194, 903468572, 640668711, 294600696, 762345603, 233738339, 761018882, 288143083, 871731021, 773927439, 284535941, 933853741, 34432855, 938049524, 558738492, 819107606, 220280890, 895246359, 78828891, 743247843, 188567307, 19833054, 744596923, 171180871, 453784529, 218020953, 249620197, 816791359, 324420951, 636927373, 19054373, 868174598, 4355293, 641901100, 765856767, 826232190, 615251323, 970684552, 317949202, 601216717, 731741473, 154589951, 838303922, 953724917, 726742331, 577700610, 896925714, 280269018, 114304879, 910803962, 375596911, 629852087, 587446813, 38935200, 489862645, 579644669, 12283158, 182627015, 55840171, 423769604, 480578028, 903644510, 804091518, 283620714, 657356463, 978530664, 82336603, 993304068, 324122030, 454509334, 19895682, 95719307, 661256154, 876394318, 646208499, 661968105, 323498608, 946548248, 789816041, 197474453, 558898719, 442635269, 200139859, 530812448, 158576940, 107653415, 758942285, 22710561, 927179081, 180345622, 95202538, 741789352, 53378518, 212105777, 891065864, 793237648, 584039370, 140370585, 444473979, 832823310, 736340801, 141431900, 684251461, 737884440, 64600103, 67493804, 316947288, 36127328, 422846580, 254806306, 959974242, 363084500, 275016657, 774677510, 272530965, 221088930, 451929653, 648398410, 966212964, 26514894, 700054519, 564060002, 173154949, 548896317, 518853891, 729528925, 68639878, 120838831, 79695456, 199013502, 672718369, 746464966, 445915479, 328105355, 317515236, 155510639, 370953136, 244418330, 155775032, 492062139, 791604821, 836361670, 684943906, 132293828, 472738961, 956607402, 763133326, 987520991, 556938279, 818308314, 28933877, 683792694, 90657377, 850189010, 498898825, 79206298, 141403914, 319375102, 706272799, 94896082, 560374497, 122825253, 434254997, 859064159, 81524346, 557043698, 551688060, 222762730, 390892170, 530719797, 993640707, 372561442, 29421243, 911054073, 239218148, 637355454, 233682680, 872032393, 276706807, 53544508, 299315427, 958134144, 543418959, 674184203, 112014589, 705022222, 488743945, 398360412, 678835383, 951879122, 725768319, 936183593, 208857879, 626302446, 612272487, 259795790, 91089748, 898979919, 580266391, 864820321, 232922327, 208846404, 160817685, 266315228, 540523620, 670384726, 636421928, 644561734, 137590652, 314421670, 636809183, 341291561, 912864361, 909035092, 874725509, 167396857, 388937965, 674225805, 129443234, 277501519, 45687734, 44804509, 125744423, 993152338, 200780290, 906659590, 830761169, 790566273, 573912290, 686982357, 19702721, 923276430, 149632289, 935500406, 929691314, 665773647, 531790934, 232851863, 66213004, 118340452, 991017212, 317358342, 27956076, 13221345, 722612922, 860850509, 801955404, 765265641, 352886477, 458462487, 846411042, 728413619, 586491435, 672498905, 57657946, 101828401, 452917513, 385957775, 801297834, 695327033, 869245891, 700454700, 51270968, 253608342, 976897813, 802284854, 565513441, 795363854, 486709571, 747292926, 981950132, 640455566, 390422546, 497852234, 622592028, 540218103, 824887535, 990218735, 220076724, 378928853, 164268993, 963462847, 338301145, 710065694, 402185533, 838763933, 79744760, 494361190, 769798700, 164005068, 750199638, 269746755, 73842374, 603921487, 310664487, 567517584, 347681186, 189504983, 643868484, 709403032, 828820041, 194735467, 733367762, 184887149, 477372069, 299675960, 8395370, 382433302, 951552110, 590678861, 79736603, 74348035, 119686723, 395283306, 555304268, 818358750, 414511910, 787750678, 617950923, 939761953, 197890299, 301290470, 525957913, 396360155, 35399970, 952798086, 229542092, 857788948, 79937065, 128834332, 433649424, 434552019, 744753323, 561411632, 750224422, 260224890, 485434863, 489915407, 228002011, 96170397, 629148245, 701504531, 271199076, 441768933, 180546012, 586874693, 835613994, 381225573, 334856528, 971472027, 993979985, 765012803, 186741209, 267675016, 375423615, 344462019, 945720107, 477099813, 390480024, 827151220, 881236429, 92694358, 39222831, 318843096, 94939668, 218005496, 995327216, 350509376, 179925556, 547187468, 593585828, 108462428, 864505417, 123803778, 537407147, 902546594, 426357508, 595603850, 67493906, 685464778, 805734498, 29267652, 479914180, 300808718, 516732131, 207787285, 338333397, 230992269, 181632445, 239965700, 652089195, 711660289, 732537723, 855328161, 846496804, 39567455, 987601267, 753259347, 856128157, 981658469, 539032052, 578720581, 366695758, 523439258, 192537769, 582806534, 249448233, 398800722, 11904593, 744753035, 277834366, 277865664, 640915789, 409827550, 480624867, 609199377, 259918069, 778018804, 192594720, 550083197, 459102990, 620972998, 710971277, 569069792, 598425016, 369472302, 370395730, 320248429, 482728948, 192468496, 914458993, 9448055, 832636262, 898183483, 800795616, 942917201, 4171502, 675058863, 518298336, 270953523, 692933140, 962958126, 247754802, 185611670, 665355487, 35326058, 196567445, 503295848, 535368318, 713870620, 478393132, 781202959, 26932171, 404173774, 204331621, 313197734, 634064940, 273637417, 282415107, 827912513, 109472962, 522836548, 693224464, 38963521, 619693818, 520992177, 37552929, 680292682, 972624794, 287322258, 147238666, 321437383, 696327606, 758818367, 160016805, 878925869, 12232036, 844254493, 756327217, 495109781, 718539194, 246368887, 365815947, 108668320, 546530911, 491436539, 54860055, 775855580, 226825588, 677154762, 168226368, 194776602, 941362910, 642540889, 39026546, 260070523, 262362690, 76662964, 631651786, 227657016, 378186487, 229236878, 989379242, 100917755, 236384820, 718486526, 98491189, 526679650, 995479748, 830769638, 35052012, 193365688, 928948818, 312013173, 366819567, 430026728, 441858553, 220322598, 175797784, 40192402, 850835732, 764103479, 13976796, 745377364, 267069685, 885060478, 142932452, 24981134, 713758849, 425227132, 417418718, 24979809, 144916300, 541183748, 302538632, 249791451, 149887997, 791852479, 250211025, 454652053, 396037901, 408639631, 627742012, 446095105, 914119014, 661316897, 376249992, 471397889, 961580133, 797649882, 832328157, 404357179, 95927791, 507276151, 635029975, 840460466, 344025028, 557406477, 566976025, 553558909, 189784698, 885377587, 785833439, 963143788, 835949268, 837171578, 837423977, 229858130, 375827991, 639086375, 673938889, 801036245, 603150999, 859533376, 303693909, 165750742, 101736101, 44962066, 812183820, 20034004, 565676334, 486500422, 690784690, 430908764, 538504407, 565550800, 261329427, 400867259, 140344272, 954963531, 814216125, 854893105, 708493273, 309518176, 325039017, 392223151, 149890151, 2570484, 77396348, 112383121, 67587523, 189606719, 984286081, 10166760, 690285657, 169310679, 714521256, 158809663, 522340591, 52186408, 430506517, 987408567, 87113233, 211123549, 185813879, 158283034, 928075430, 945123210, 500851468, 317679964, 837704647, 364615168, 388497501, 129241941, 120158914, 868595154, 552526683, 758938460, 504245792, 818237080, 245788574, 453509523, 879584038, 468810754, 743811965, 219249841, 247350374, 889753066, 695800277, 343905504, 879294432, 203697904, 168219166, 597661349, 661033502, 747619395, 425538637, 952013166, 737783239, 64076401, 225877397, 645018837, 470710533, 30345458, 604724824, 514154450, 179065553, 559238074, 184571933, 921495981, 851729940, 852213070, 387918754, 295228856, 113748673, 642756948, 404121794, 863041410, 30895111, 433582645, 600631810, 726972432, 961953308, 372259151, 992163604, 469363729, 544273752, 246564363, 385234583, 441290501, 353763655, 646584852, 520957923, 509088399, 697769596, 107512710, 4353361, 844157934, 980590015, 914136245, 109198922, 413173019, 234614725, 949018194, 281787570, 664332680, 46659825, 955705176, 396404341, 714363253, 756514237, 370869913, 198185134, 524712743, 562167593, 706474033, 692673683, 3809732, 139830304, 76213547, 598174536, 578784211, 175345233, 618963870, 507984877, 82378147, 609994887, 654865785, 552906786, 84050059, 406153845, 232576594, 356103228, 881031056, 597717047, 951336685, 653059834, 537505788, 592946598, 863313224, 462700394, 7565974, 343277152, 592645386, 686038530, 316418660, 42996242, 9544842, 642464432, 391747474, 755309845, 969359652, 419591220, 586192161, 78992214, 805986613, 79730069, 208597993, 918611715, 731757659, 18826634, 682042033, 232716276, 396031720, 442476755, 298880666, 261047211, 339889354, 977439183, 391157391, 514563260, 857666421, 738865380, 20010223, 643077257, 424662836, 186173674, 531908674, 725421607, 143866119, 616830440, 706274011, 684212741, 481249652, 82076646, 615961498, 603619087, 905454447, 446357941, 538427833, 552945206, 635370511, 449884311, 881629174, 133868731, 73319731, 816768317, 318225939, 925045668, 364365329, 352874125, 705448270, 832345397, 161884488, 752991258, 643223666, 479447742, 392808097, 568145029, 236564792, 563145363, 11329162, 559998455, 42620340, 636917042, 719262629, 840578500, 865164398, 738510658, 976784572, 949309453, 554113214, 453351499, 367772228, 453494929, 533259073, 242062533, 798294018, 943075740, 923180172, 83939874, 568960024, 262031770, 782220365, 120180219, 197144870, 64152971, 286540757, 450966864, 469826834, 99317822, 712705642, 212853978, 438061544, 758011841, 964545783, 132561705, 653980767, 116042332, 137792445, 249676313, 430785599, 704223678, 553477108, 151752306, 441922834, 650473712, 464364956, 258429454, 498005470, 717061498, 451978027, 178490485, 177951319, 890135395, 751590851, 104446103, 424704730, 800268132, 301414623, 74394557, 320262203, 85469201, 993202095, 116676482, 900417322, 702319285, 30570004, 899554061, 255572462, 506014628, 163532454, 380831154, 560198201, 499231663, 507143444, 845662777, 907027900, 138931338, 949806221, 943769827, 2215736, 46251876, 265765753, 181135357, 279941595, 941179821, 680561721, 276131264, 701635187, 830568200, 353128576, 787489156, 434323776, 690788099, 516280199, 401746661, 225390782, 502213851, 179692106, 177258320, 240766205, 700086171, 416523754, 698553501, 716007063, 757476010, 848256624, 501024685, 351017168, 154424179, 246356860, 260450513, 473867065, 605971045, 117848904, 549608083, 580437695, 346687622, 600824136, 98200822, 383148975, 495291782, 950988198, 440667096, 936190536, 263662692, 63976438, 413731032, 619267232, 161865296, 213801117, 117814333, 127553413, 84077516, 91787324, 496779700, 645084222, 649752779, 811877646, 663949324, 851837808, 234264807, 91544456, 844165891, 625508050, 570001941, 438685626, 166151797, 270611031, 332019547, 520211793, 931438959, 623793356, 828576109, 158931910, 301086302, 304624790, 898976137, 372475286, 414998854, 76392194, 10942261, 364804524, 441096066, 686718398, 530138060, 643042677, 119856675, 714395309, 541344147, 835831009, 818553871, 759409935, 901041597, 580490511, 215116515, 635850396, 225158471, 355850010, 197658166, 994010128, 901611050, 932090294, 853886988, 836009001, 524090586, 947234119, 240267261, 133484838, 28553568, 481248819, 773823019, 191506014, 403878365, 812342991, 510446725, 904172864, 497303236, 835549880, 329273473, 488602634, 653834526, 862666660, 678105687, 747480123, 704765712, 176726391, 594735329, 99126988, 995329288, 127828418, 889169528, 668889775, 213081280, 503982235, 706708564, 383441555, 843852229, 606104326, 131256033, 820404179, 598403048, 247583281, 127339108, 480251154, 322927581, 301723581, 577295697, 387665408, 514942445, 643216778, 620869848, 320750514, 416484105, 270791965, 545472196, 68129122, 75267416, 604055789, 540910528, 624866329, 278088262, 243841847, 490716496, 711533028, 481946100, 343911717, 620439055, 623832419, 297267067, 469038279, 529927368, 436585049, 11833712, 909982202, 34258174, 781700027, 998665674, 916021165, 561839542, 795864534, 204750891, 323214477, 109227457, 154098434, 973449834, 709356569, 102676052, 516217777, 428886172, 399369504, 396035960, 203623029, 972093729, 612430394, 157282376, 932588183, 162156887, 990154848, 951852142, 993162758, 576253483, 377961583, 836965452, 880023393, 407489308, 299540337, 715701703, 493016707, 169987259, 663646179, 991747035, 285966290, 10881209, 772726364, 641075907, 86610868, 557725688, 605000267, 629609703, 792030202, 455585075, 894841517, 84867395, 210497120, 741696959, 699715395, 216307811, 813273782, 844125448, 711432853, 633480656, 203545259, 851135107, 191160871, 238186113, 146273760, 830123087, 210204497, 221851671, 161074474, 95102110, 73398792, 928805988, 514041827, 24322366, 663909456, 766390133, 648073226, 977715558, 555466006, 583066138, 960107037, 705858356, 666770994, 510721632, 401444617, 985344089, 799915986, 238989421, 334312224, 579003280, 302286652, 324524132, 632520334, 968144398, 373132975, 736127038, 222602236, 637863014, 490958763, 411682425, 17203469, 910858608, 158670465, 424598627, 49331288, 359767119, 764806687, 923262066, 653991990, 552449857, 733903788, 346404766, 616817445, 47838526, 505961833, 573074891, 471554243, 94123104, 975392695, 828700141, 135253167, 796258830, 438811860, 515451624, 118734845, 900296449, 602881408, 268991915, 124542697, 412433960, 674133797, 132905421, 68634910, 831201318, 771853253, 396633937, 681971950, 571952729, 653920920, 264232443, 580300737, 893917714, 610777815, 567083691, 388705789, 295387620, 840648817, 184936010, 183745879, 287055169, 806197083, 217635225, 149883758, 902963958, 846785923, 610350938, 617197787, 945803497, 136861863, 169161890, 677975882, 164624755, 944044242, 19957543, 415490198, 57393653, 36715982, 187497999, 45111075, 773853478, 387154395, 360360043, 862195284, 274977725, 793492618, 540575745, 614592397, 680486457, 214479731, 386528898, 541677081, 809936681, 819008354, 962126081, 452209925, 181351338, 52892756, 13239811, 195175480, 480412762, 198047708, 528466123, 372411232, 334592616, 116281014, 736125436, 378555733, 718676610, 592941640, 783917350, 351998632, 409903652, 347660969, 360571244, 432794553, 347056994, 880076961, 487749705, 736609564, 117775326, 171628051, 229799048, 903381983, 207526193, 962612091, 168899183, 901788689, 20427632, 790541102, 64875282, 955855478, 279699666, 453410097, 942480367, 13325360, 74420330, 349060571, 772683833, 41449642, 823383302, 913903426, 613203541, 292779263, 82245702, 243572727, 410688660, 690454579, 799154124, 636959621, 693333011, 775309748, 544538918, 465911795, 765535514, 251901606, 68253403, 431237621, 245557824, 459316181, 48023858, 837930112, 490725934, 175665848, 138239139, 465252079, 784999450, 124160056, 499610538, 890691613, 407589373, 982146128, 977752063, 717271824, 325677793, 450896648, 736488361, 151056058, 774963882, 743115104, 551403587, 515423005, 743911425, 264563126, 345228446, 768733669, 134291634, 474457333, 199802475, 88158068, 125853859, 52136069, 762301200, 220702050, 205736246, 957710731, 20753311, 564530552, 351922182, 721206805, 28972260, 27710003, 143360620, 223744362, 43906062, 955513832, 627038753, 684329395, 631869437, 481393996, 784587928, 114535721, 42100020, 996456818, 84694922, 511018722, 751206815, 761067864, 137600225, 641111775, 400462674, 644787699, 78924879, 772419901, 554237771, 16846428, 133411773, 901394943, 428591606, 956403709, 255620889, 881209329, 370536613, 198051165, 277835584, 659144067, 573423225, 388248920, 156312078, 512999248, 974642168, 251222922, 401449876, 159806322, 300767581, 666871082, 276530176, 716573734, 765561623, 569161374, 601834360, 457970240, 579941788, 326580683, 611670511, 570015466, 103589576, 946169793, 877053449, 69370152, 457304011, 487634334, 834295614, 576839857, 289466357, 320427266, 199675035, 865842682, 429652539, 131074329, 408875583, 910387522, 674069750, 400107824, 319442724, 368652077, 450603056, 830764752, 954252778, 24031500, 441792651, 510337389, 413014851, 636685711, 129555466, 123373630, 329737764, 128732386, 815366321, 343374037, 927129943, 999170480, 968164889, 216382601, 748043076, 387492577, 8063183, 296266172, 680623209, 24161058, 282181252, 281976918, 579580250, 212833724, 896386102, 995161250, 566258261, 691615447, 480178041, 39586125, 373238458, 508059739, 781040367, 550279180, 422969400, 543006975, 748756858, 567076719, 678360527, 140170588, 112767940, 227563285, 113638687, 622873816, 958564901, 753791160, 130425324, 491039529, 515134871, 953446970, 196652335, 589391880, 238761621, 415772145, 989401531, 202073237, 269687991, 129947736, 803878448, 224511488, 417423467, 287303952, 347286334, 19666399, 83864368, 305009071, 180263335, 352668175, 940888133, 40675742, 391780588, 730928961, 45264729, 83617232, 622678347, 388182741, 220801017, 720535036, 858195298, 843312639, 720679688, 404606474, 813793448, 242656828, 257221449, 225263107, 437151647, 411881457, 149706878, 935498664, 509761742, 416589282, 466429163, 769381155, 801997049, 670418798, 388386899, 239043019, 670692938, 17779286, 297338382, 426407054, 755178739, 511157187, 472906658, 227303399, 49674400, 947414049, 865783845, 485591260, 134576867, 387586533, 644470902, 431048116, 624265729, 249109634, 546290953, 253433909, 801376376, 135987271, 586879582, 959656145, 674200929, 228201336, 270785441, 718704730, 977039153, 581670109, 113875927, 170847349, 59547601, 366351226, 221462984, 585360363, 126246280, 235047700, 931978651, 442385841, 162490578, 952617196, 685655094, 219379367, 877964270, 435883276, 343593856, 579458336, 485107287, 467181057, 855665851, 622149699, 144791767, 389935856, 963362813, 779131582, 262828637, 744343257, 259042338, 409929870, 27463721, 857614525, 82170948, 818887213, 581145712, 512442982, 780653576, 336936456, 711793705, 223200541, 917524747, 896910889, 456450958, 559101853, 41199592, 992446983, 61184599, 891313776, 851136312, 244399950, 604280468, 43129417, 995337511, 929130644, 510115821, 688828446, 514158360, 450314739, 944869097, 741251405, 345398748, 203899644, 262453607, 738877944, 866266807, 830825942, 224065317, 105020451, 648412507, 578190951, 769636679, 119071975, 662422710, 426164714, 896102292, 164860890, 660360786, 449482159, 69947533, 182212349, 786506934, 180900931, 576930655, 124362633, 967465459, 330041432, 866043221, 865500053, 617563979, 521516916, 820809715, 560538033, 135649780, 187751347, 42310637, 334763517, 868157714, 509671104, 830154079, 618022753, 415627848, 591726002, 758407230, 901167863, 633618370, 678201739, 56720346, 115689859, 496826585, 77974404, 362696755, 454370218, 876137937, 142556136, 106089455, 494117574, 990871721, 238158684, 602007626, 680810727, 434662778, 243808095, 872203783, 769805938, 831052391, 587106998, 860166301, 954345842, 715542816, 394000284, 355675601, 938401490, 756963813, 853077077, 865264478, 648603052, 126692884, 932218680, 499605822, 229487579, 654857550, 985425690, 10724738, 276811695, 114947550, 255923816, 828721179, 27216823, 896690071, 845970283, 132657655, 819198057, 512479940, 785436270, 329167001, 941262374, 128236649, 573170189, 802845498, 295009653, 975167420, 98135176, 495201121, 782752340, 755799155, 491065156, 724469591, 160599318, 340215728, 601092889, 577843146, 961966636, 957205065, 990169838, 537959348, 11612887, 868186087, 494604457, 825666729, 831777830, 718412307, 281755422, 285271244, 621642724, 28552566, 302018296, 346794233, 49618988, 540897688, 999356371, 551308293, 559293890, 12844526, 323880327, 223564946, 480215833, 977244387, 332881858, 504240733, 69078041, 787734876, 929822382, 540957424, 613615999, 253609112, 373826709, 821468723, 13749677, 411366717, 61577722, 917737449, 613228729, 51114877, 195397056, 904188602, 314135597, 256327164, 742182598, 128189753, 784471324, 151028590, 819791037, 125121737, 670106091, 200267500, 582098134, 451128162, 679993500, 618174473, 413276923, 904864464, 986498563, 855830764, 993218996, 896467589, 49984081, 52890843, 985408948, 616151139, 347950453, 496060071, 726543190, 367472925, 642263748, 246497331, 859685627, 443491024, 530737175, 554145289, 64284170, 506393850, 904673227, 539339407, 657919107, 391777029, 604242305, 352129750, 567645060, 249091623, 10920858, 171940620, 147819116, 737814263, 425568189, 160210012, 370335974, 939803904, 157837801, 341913530, 562763206, 514188755, 179849911, 234163298, 401256952, 497116443, 853686616, 715279776, 562928190, 501162838, 973989916, 94088193, 776711738, 234318552, 207846253, 822616858, 610266342, 611041831, 392711278, 278213824, 360777707, 421842259, 731241480, 381976156, 805763914, 536749486, 995929491, 727855293, 680077144, 322194363, 584584774, 687501290, 753199803, 295218307, 613572807, 415442471, 346245760, 635292526, 929931245, 677645222, 255646696, 853111716, 869110745, 681244073, 707863195, 719935020, 170070552, 445712741, 603368423, 478656808, 109199408, 273269459, 112034796, 202495675, 900009426, 897386616, 166292266, 760855832, 269006687, 350203518, 892493590, 581403191, 133115286, 196970394, 67208859, 20895082, 802587039, 559784329, 58232541, 740283967, 569161574, 171566233, 649260580, 686409143, 80509102, 982351066, 756005477, 426015499, 152288189, 844021452, 233671790, 568674414, 705966211, 762784458, 411796085, 660834650, 106660923, 856357025, 176632510, 135497634, 705294756, 678143016, 410081204, 343469639, 956883004, 946833604, 978049024, 271338832, 63285654, 781751320, 408883740, 299782378, 827816470, 390967301, 632309601, 172327129, 400236993, 669793567, 594358469, 828832935, 560348474, 680432968, 992538625, 580106584, 987477635, 91352903, 113817334, 425905169, 5653723, 335592971, 588135826, 592940579, 666667994, 664088827, 164324478, 850008884, 825729234, 519811043, 92006825, 852420820, 863721517, 376603663, 690434479, 464782046, 408435957, 410076310, 338495811, 489271809, 386145061, 911776722, 638434646, 422353554, 868841015, 724580266, 125907457, 374837418, 432785441, 710424478, 607439367, 891399258, 564675560, 463930190, 516043139, 140634698, 702682662, 383077777, 994197459, 577236444, 24068696, 443869467, 851456881, 102680463, 847931820, 337042514, 837031926, 449968828, 964609093, 516117737, 286941482, 315552200, 260913442, 240655364, 357835023, 270122746, 753464219, 485731944, 379260874, 318064609, 383026285, 868791314, 538794102, 65776310, 456507716, 630318141, 821749620, 167427153, 93048447, 599408023, 628216022, 856626963, 594304974, 225072422, 196987752, 533896419, 609144113, 215422242, 610416008, 266486218, 755165418, 5588754, 231084245, 568783318, 21760100, 539772731, 488989953, 807191208, 441198968, 79166961, 682344576, 920874900, 589886139, 238946485, 92701937, 675021849, 138188763, 341554781, 695630531, 395579009, 184090111, 796722307, 423905079, 422644276, 400353212, 531181971, 654947221, 933331765, 827287279, 65953194, 612137667, 973975366, 798377496, 796048626, 531447863, 452261119, 613202164, 405945685, 10768147, 722264958, 699967470, 71196800, 990273415, 128104298, 1572187, 515484266, 610907566, 782502411, 90041948, 825266799, 893689556, 515354570, 342078763, 449937545, 46788300, 861384705, 303644837, 885858797, 269047819, 902492503, 989784050, 519012518, 281685760, 555853639, 470795634, 868702884, 673481741, 794973254, 287187283, 943280008, 468439656, 909599894, 661092171, 254121163, 779225894, 943947176, 283135024, 67542385, 575081536, 942400443, 616103746, 315264446, 691245394, 338765418, 137392063, 636714171, 20742275, 995482811, 714270265, 322940278, 443839245, 473931811, 788983174, 38511774, 830262468, 331502938, 269736134, 408612195, 540769439, 192165215, 834113119, 244589851, 145004240, 159187470, 308416803, 721038751, 343015873, 187278969, 120578709, 123453538, 723929131, 620938676, 513423445, 366545173, 851100840, 621427579, 591865265, 732891744, 911635391, 504657794, 58146358, 164737614, 589526357, 642411959, 651820696, 441501203, 637106038, 743793969, 453307334, 350327729, 127529889, 615521578, 849842294, 817072478, 915440095, 915563969, 825798927, 402915594, 490641805, 167457644, 779031114, 652959876, 804992988, 952977433, 85826132, 390335419, 878555126, 94106321, 745667577, 34070933, 374438161, 44552877, 828935426, 338114805, 878905387, 630196847, 375650837, 871288654, 249628253, 545675790, 724260007, 336614169, 887648051, 938953924, 625724786, 264448121, 684029257, 42731856, 374024472, 462460815, 960597604, 529835600, 811144546, 101648796, 221582373, 920543121, 992634067, 765449221, 488362980, 973315534, 754584342, 403655422, 73020675, 557887432, 441708121, 492233411, 163047537, 172823869, 740713513, 858680134, 904597207, 647230726, 801804459, 170743948, 623846328, 945051053, 293709287, 860723153, 821292002, 367822775, 357843361, 988234544, 717761181, 552859133, 459818045, 70414324, 764625989, 994660554, 42457691, 840115939, 808752244, 541396746, 896248129, 592444475, 248802462, 748307470, 439783499, 234642317, 788640870, 806063173, 693323916, 622956645, 618331006, 868382260, 286735363, 807452734, 1831494, 322175432, 850358136, 329771940, 555357211, 929364831, 92271618, 674502065, 595080169, 101648602, 13692461, 497376562, 620798169, 189312659, 911448371, 556063568, 120485134, 510864467, 78599572, 304043834, 183408810, 647152556, 18582163, 535397348, 451877312, 524303195, 868238743, 514247367, 491921841, 478987176, 185089922, 217882113, 32154029, 32645372, 800168654, 934941351, 631765803, 958833826, 151128701, 416507191, 351424902, 95976518, 883379285, 77454540, 90522610, 679638838, 103816421, 63693020, 962122852, 987055622, 926360872, 20774208, 88699291, 136109667, 263104216, 842969579, 687452202, 717966806, 153686592, 268752329, 798632545, 887611084, 375968202, 201387705, 445333263, 379971413, 835221660, 471428513, 698194025, 537166645, 671246018, 551999051, 670385784, 520067201, 18254184, 649611376, 128601041, 983389510, 848108113, 669402525, 802408807, 892717655, 357844880, 221175636, 719960826, 594868980, 839371547, 71482749, 882682265, 731491298, 961802294, 649473451, 944500387, 96698705, 915752940, 765778814, 335203419, 800969379, 990018191, 28869862, 901944668, 946148335, 511877469, 806225446, 504945117, 618041703, 168106989, 170224202, 848004333, 42630905, 369316596, 412867520, 402788439, 930143793, 560205078, 516097110, 47310991, 458717047, 434761447, 217986867, 405158407, 482483810, 501229557, 82557542, 705132434, 297499464, 103847, 654922936, 370748456, 612793768, 177408662, 902803209, 662829086, 107453472, 587812063, 296258828, 137950578, 873010851, 662183253, 396362085, 484813478, 6389232, 864615027, 920068008, 177505851, 574821480, 783077735, 274489798, 258333936, 186907087, 66377494, 237098834, 790585734, 399854894, 156959830, 978882095, 205818092, 706267974, 259471569, 156040394, 995800449, 362379418, 518865430, 492673552, 173510066, 926502002, 4850915, 678104611, 348386618, 351606762, 271564106, 5230826, 473912173, 640971245, 586297108, 410596950, 522066239, 254967840, 641918835, 455260747, 41235756, 27065300, 96371202, 382763078, 130898242, 604855435, 292160718, 66467040, 324634475, 200561726, 44879055, 696172916, 339079082, 158449969, 803807586, 472309279, 99604716, 49342924, 415150489, 920757689, 75316062, 854360838, 136671167, 341310932, 357849806, 334886161, 218642234, 274123715, 871124150, 750309254, 468258313, 348104506, 975412421, 582302809, 130366616, 567857022, 25609836, 308055698, 326509327, 493409306, 130125066, 846887654, 608602476, 863190692, 466729366, 120056417, 466191554, 841223939, 467004459, 207721624, 778454369, 109333349, 122822652, 110815381, 474180055, 629936199, 13631685, 77688366, 931945301, 444661141, 413592969, 546423107, 861402383, 280076997, 788446543, 717791870, 661796783, 964001009, 150686025, 250484406, 731330428, 425811355, 118810566, 387511142, 953929342, 276955634, 979606099, 470545853, 211437355, 837683813, 120883545, 755900811, 309828152, 338658307, 837855228, 377094933, 592019364, 623395790, 106261809, 668227238, 963733491, 665449596, 140006078, 732584940, 502817284, 734468190, 922176775, 633127270, 832736107, 954896342, 105491157, 47536256, 509811800, 436310101, 225400667, 999059131, 206495121, 270530629, 924285803, 469558477, 972024392, 638826172, 307803688, 210609981, 889363455, 513151769, 630428280, 545087571, 564133366, 884009262, 530783328, 448454371, 272826122, 524477482, 883786649, 974148297, 221000849, 212535749, 996295367, 922943409, 893235409, 375847468, 931517217, 140579008, 118701344, 904183613, 805741520, 573446906, 198563486, 709297168, 714658062, 371744454, 141712512, 273582577, 537344754, 816487291, 805407665, 111128174, 864897705, 313285897, 143080484, 600159709, 260411502, 851937049, 578864434, 6987509, 180899473, 864261480, 397152742, 44096061, 901685908, 634961620, 538402591, 348079279, 793434643, 559315147, 399616382, 806241820, 96275679, 95340678, 854970309, 563755062, 730772090, 19057344, 202907651, 367854990, 748368019, 548446243, 703117609, 893964082, 916648413, 757179633, 362508502, 411022593, 702221998, 289555465, 236577127, 761230317, 90864142, 804424730, 231830773, 404013701, 21575411, 828103781, 132770371, 250520445, 551820924, 445225982, 963232197, 704207618, 155925033, 563574677, 394173729, 590113805, 513000087, 72493086, 399943929, 232786968, 233020745, 146366806, 509333756, 67712378, 865656825, 787499691, 718316945, 170012044, 178561215, 6187717, 989304521, 617851954, 592617357, 647125336, 39831771, 191699611, 964679545, 512266591, 890080878, 29845027, 80599519, 627792001, 168253028, 471082912, 516187306, 555380899, 761264117, 562107546, 603081773, 759706778, 953253095, 252695570, 442133684, 291538349, 616034323, 555101288, 116154759, 655494341, 987306407, 167398405, 313805093, 125812564, 804025166, 119146628, 921524933, 415106267, 699450195, 585063801, 105083187, 103179993, 831701738, 65083527, 890501606, 723257832, 403128265, 675513398, 928693681, 234489942, 493192486, 644951015, 958511751, 91780026, 492836745, 516017701, 991411105, 502159308, 65573484, 736073705, 83721630, 554854396, 615801963, 830254765, 419287575, 71531643, 145316977, 5953234, 984878428, 5958478, 767653192, 69765561, 866064157, 100517817, 436374222, 744213392, 850703306, 459063239, 490834774, 218074655, 503919010, 524498853, 163217401, 872622980, 738972266, 508919929, 185597033, 476230551, 187015624, 359589679, 719062191, 204114833, 210005049, 532287004, 745617921, 205174414, 654135254, 143389168, 143285918, 745897274, 91574410, 740070416, 806813654, 959960762, 534474811, 324130264, 433955674, 83743968, 115798870, 204170071, 911124473, 992782490, 397584727, 289140431, 90796386, 981917511, 613310810, 368287370, 655603775, 212147659, 831478867, 527522006, 347563522, 952813334, 832555491, 143823113, 778976664, 507048630, 991650215, 834794626, 957383415, 538741353, 669599669, 721949440, 928924344, 820412715, 359648348, 296980747, 296673781, 203557231, 750500086, 95116466, 978943620, 742488043, 193181395, 66125604, 724838871, 892093404, 323385064, 775202645, 578364831, 790949704, 132007904, 651991843, 27566159, 870865814, 696317730, 825459777, 620613373, 660498274, 485347967, 179014980, 479992519, 438968610, 165947377, 547586057, 717331785, 778015918, 739824756, 888033091, 308660753, 292734602, 349437478, 896487128, 585556918, 4368643, 112781041, 519006896, 349617809, 746075483, 869917694, 248999853, 878942712, 34818780, 8924499, 389585497, 14700458, 713822251, 413800940, 859187465, 730870497, 309343405, 903951097, 299654501, 35485800, 386793394, 500223649, 592355845, 171340083, 194991175, 263702661, 547326774, 342037025, 700663182, 640643752, 755106537, 64606153, 912998415, 541057818, 821272097, 522618014, 635077119, 406335705, 169482339, 577754541, 547028214, 566091516, 927377676, 434033893, 841352554, 776912461, 617050551, 704057162, 777563926, 767343073, 579237171, 200863035, 266654105, 931091602, 848858707, 58435277, 476417496, 361746404, 873355723, 230143981, 595575387, 247833505, 480280841, 853821754, 870371100, 118631591, 801864093, 393806780, 201074315, 95559659, 92043410, 690653170, 29021302, 318247683, 685319881, 936472164, 395170668, 494974680, 469956961, 135699347, 284917338, 662010360, 223443770, 736287867, 533246416, 875085386, 750705677, 948066842, 342707089, 945349979, 464687976, 645089433, 254388690, 229526915, 19702356, 449160710, 147532796, 80072934, 550537863, 359451834, 268987766, 742869714, 716877429, 901844286, 71328464, 724476869, 739466572, 125183006, 63895764, 938593885, 869924595, 481397714, 648544074, 179444622, 737795986, 286060192, 819523374, 615922312, 242161826, 164548247, 415488641, 734277622, 736771957, 176281113, 868769390, 160241353, 123799421, 983039895, 468842361, 745879856, 212445169, 986841578, 193466893, 68645512, 215707719, 62587197, 781977045, 104875318, 104002903, 356742139, 179133845, 595886651, 940331889, 752356316, 793360406, 466691149, 283641502, 481017365, 882357875, 259596164, 578780503, 802830518, 331586276, 105805103, 86762051, 770236173, 856117112, 797768968, 521083311, 368017840, 307064337, 202528900, 153212412, 348606926, 767931534, 911324104, 562129742, 294677794, 605340488, 335914873, 629718733, 761656219, 599334657, 807952957, 500261897, 538941354, 404270912, 75163726, 646206179, 113007956, 15034565, 765865793, 432828878, 528579980, 935071531, 5441345, 892658477, 524124317, 709029789, 972207681, 856012623, 599574242, 194048614, 514421465, 625387639, 121306242, 196363314, 558630420, 380790085, 217006171, 436664947, 178517152, 747521116, 590617007, 320437541, 129748803, 466439063, 984354422, 591341975, 811468058, 863960287, 350863909, 26870133, 116800540, 201385516, 825236293, 830267689, 982326710, 721025283, 925357580, 899149610, 134646773, 197183806, 131467992, 163882496, 756108813, 723418698, 328454316, 271390574, 541506527, 328971182, 515471040, 372630721, 120586683, 905578323, 961058400, 124524577, 919242947, 950899838, 731493056, 223403028, 568507856, 162814962, 922243874, 634492609, 693254352, 374518011, 958559539, 777870265, 999963579, 570258020, 82218923, 348148182, 999160936, 302865939, 2895141, 836564971, 478324626, 265258277, 571175425, 185720148, 742450386, 318389562, 685026831, 144719388, 514230998, 222805693, 450912345, 741036615, 629805722, 650645932, 616804566, 422833893, 522139719, 223933367, 298574858, 581916634, 997867888, 972711823, 246704148, 285943955, 719835532, 16871216, 302860592, 533534432, 163375680, 784207651, 326133399, 481647449, 212903947, 637698021, 828929124, 639018732, 202678520, 601729385, 209365694, 462446915, 347033958, 100429171, 413841950, 115744729, 784139474, 617414456, 174787055, 758641147, 231646514, 524324307, 431373272, 78530762, 416222699, 120632316, 402765731, 925705600, 812010576, 640675362, 453841126, 643077563, 100391697, 895150350, 18884431, 770781143, 233959873, 211840359, 703366995, 454142762, 683807283, 12797375, 194546604, 439599005, 174653792, 632432419, 684331318, 595132702, 727773633, 546833873, 934002311, 783370837, 69245561, 760441067, 685483524, 848461277, 908135486, 926535366, 650871529, 875920432, 438079853, 40223898, 419631893, 201278466, 692506120, 463411904, 873748048, 775450678, 23669713, 787819789, 727738336, 256955915, 59462329, 774266353, 566039555, 708677781, 665095786, 27043998, 269373692, 126826124, 197641360, 335576191, 565540913, 270824504, 306623760, 78274323, 805020688, 304584936, 407566469, 921637097, 263190110, 642483460, 567788112, 958335374, 597888384, 585144564, 596672686, 365690253, 547799534, 537728422, 975030759, 675397898, 545060276, 556883943, 709153779, 870151682, 716020453, 184741470, 572300541, 28206807, 16489295, 769618223, 507211926, 147331555, 805886414, 516004932, 846661971, 279521165, 924182045, 285444265, 148835582, 558514447, 231334068, 261093528, 50526602, 241189350, 71554144, 974583780, 931476517, 477549337, 976537328, 230318722, 948671629, 710021283, 241997541, 201000930, 207748484, 191342710, 497211950, 687124841, 666202894, 79455596, 927357622, 803706141, 507044471, 890433624, 362087713, 939255269, 943975618, 603128659, 611822797, 536993080, 293307231, 165261329, 170725509, 611869809, 721902697, 977527932, 799355625, 913850654, 422756901, 483411235, 316600310, 248077831, 152061841, 919228294, 974712707, 776165460, 532983923, 312356887, 215797277, 785754902, 960276867, 214040904, 753018336, 316015000, 941271662, 855983207, 81579854, 535480668, 662667290, 89988334, 710727630, 211045253, 473026046, 44612662, 174459135, 735202536, 178716966, 221384851, 816126626, 378442327, 45503075, 228016206, 149554491, 158992587, 655794243, 981813552, 662698712, 977567821, 261040223, 904318693, 430321192, 221610438, 466682696, 896160328, 905653624, 22203059, 983982860, 787394226, 191829527, 662409791, 190080060, 822870208, 423341044, 212489454, 898371169, 244743086, 223192387, 17991093, 438190266, 931216258, 839434883, 657080491, 214517039, 775523539, 978189241, 257241379, 53532759, 883510945, 236810755, 45076858, 134227463, 750047025, 161338165, 186260324, 699756906, 332456529, 836955508, 693801155, 381241869, 165192556, 12776219, 768142636, 242642522, 188996082, 347476786, 953201610, 484524797, 320812346, 636690132, 449742791, 983884471, 210689776, 307527447, 74133683, 127557152, 166698810, 559217522, 124424893, 479651802, 616111733, 409105638, 655861862, 687625640, 653146747, 698874564, 904344681, 641123182, 301305347, 250766918, 182722317, 39499781, 475432396, 118394986, 670933353, 370533996, 707849690, 788692383, 391198504, 180097230, 711392189, 643655493, 808088640, 13585317, 238754624, 303069482, 643702159, 941669454, 758237172, 41409385, 887670201, 8129707, 614898672, 63614664, 755061232, 337657509, 621129166, 461524193, 203441772, 341272485, 600362415, 732861765, 989959980, 872636705, 220268626, 405347546, 311886874, 246563312, 884600936, 185526839, 877720335, 772956078, 183090423, 795589681, 865962481, 170647263, 454738801, 798989553, 887028107, 697525115, 804357730, 592720519, 136949865, 129982425, 507828228, 1297216, 619027139, 146965991, 959336385, 542990624, 852527870, 469993187, 993487976, 437625545, 859045014, 781792831, 971093766, 223241000, 78596226, 343498080, 885154924, 685846626, 602034056, 329099595, 964422698, 224728250, 410443364, 289706063, 359939421, 239597446, 26729057, 353792892, 438641288, 78337642, 797831900, 927414859, 190640457, 697113229, 967850109, 208895249, 994643003, 161497627, 509410060, 242252424, 901324021, 632704974, 470042217, 660016901, 987129384, 408862682, 984027052, 56965958, 688129549, 489669566, 285532497, 621522252, 181736676, 310613023, 166037227, 674032520, 329412385, 883503915, 972596839, 843018565, 449255215, 713915945, 945772195, 460078018, 169471234, 391567834, 228606240, 156142118, 229224908, 375101730, 278726818, 602442879, 529286284, 777324485, 734366902, 484486300, 973295209, 767482156, 619971794, 308935146, 416276398, 34144513, 751071749, 268608950, 864856911, 829889140, 258697061, 942546915, 209690592, 43626553, 955550833, 267466057, 874240666, 98102614, 330083312, 417981837, 381641556, 312734828, 253318650, 610318292, 432521338, 222138046, 738894232, 292224810, 394657839, 535612442, 425732983, 738153195, 617181610, 841465301, 861453400, 441280097, 632633288, 224730120, 24007918, 867730228, 329941200, 618429553, 593345751, 538464982, 175468013, 412122851, 665257960, 63745601, 474371634, 235179452, 50883112, 884657204, 31349811, 682110243, 359612849, 46016039, 664246046, 792978923, 734418939, 330319038, 98083339, 490257748, 32660832, 816675469, 805977380, 121703767, 644256305, 818684943, 36878100, 652944991, 997784578, 395979868, 468021195, 502022376, 979825513, 209322054, 794818890, 683064929, 830593927, 223724496, 513043808, 300343163, 397432583, 441068104, 8684197, 907090308, 12080615, 596281981, 547872157, 520791114, 492952726, 528379040, 620331641, 914028092, 889170033, 948870172, 332131555, 777724090, 38375371, 33216854, 771762233, 736321489, 389555137, 262411708, 847622342, 520412622, 8416064, 563337376, 382982057, 37771547, 490582602, 254338909, 636591633, 318669368, 560757503, 366077053, 21804197, 670022231, 844946034, 846183793, 236857304, 987045422, 406294830, 747913598, 922090014, 651561737, 757028211, 106770556, 424280244, 802253198, 448972592, 377995719, 828929417, 187674371, 973915261, 142048943, 942439303, 795300611, 13106512, 366923747, 16213284, 465928878, 628599964, 693249313, 520057223, 783315533, 547275049, 250216341, 325720216, 4661181, 66072140, 534929085, 709223077, 147945553, 95767723, 418429198, 299580696, 348179271, 415077091, 220235705, 243306392, 256444708, 306780574, 931887481, 414765026, 399485389, 319911036, 241537989, 359549167, 403511810, 215575485, 933543673, 264108189, 451033062, 720271351, 618272531, 740048011, 782591297, 104848746, 494673301, 682031218, 647816889, 477582337, 543664352, 959746321, 149165741, 691104653, 850753575, 936078986, 820761350, 318530856, 295930250, 196693812, 509773235, 35229825, 578492018, 983789079, 79034151, 719928147, 986718122, 95114209, 997216010, 376115654, 439844770, 705783596, 276669753, 580382552, 263414678, 118771689, 615523865, 141409699, 382611395, 955547095, 388551877, 693127514, 620204267, 739970174, 327087136, 519264664, 700148917, 677165594, 394692344, 241722269, 513074597, 983037358, 37097385, 352514861, 759540396, 794496762, 886778205, 814006141, 358843104, 1738787, 50110608, 617963322, 527472002, 821327695, 944814784, 52323909, 336175034, 860714368, 891099840, 27832029, 811480796, 35926226, 18907073, 129395552, 420878383, 937631977, 371990310, 10377648, 318638594, 959864480, 503119743, 821717342, 772921635, 372163021, 277041834, 22822333, 441591535, 878640339, 590861896, 663631191, 751872740, 237784893, 140115458, 208617699, 202264090, 355223675, 663850511, 482856396, 75157493, 337021868, 653652282, 446246632, 758061472, 1396894, 908509532, 959977471, 771380994, 105716258, 885095861, 878513929, 443626711, 531813337, 478660090, 886385283, 193468745, 625513704, 776046710, 647726649, 797136983, 664501404, 527822357, 718299999, 370602316, 190875161, 393854664, 152976170, 612732544, 284346147, 961431200, 758229293, 577116988, 863659902, 167199896, 42759500, 300286355, 708082604, 805071668, 559902144, 655487483, 107189914, 496881845, 11181170, 789910964, 459926857, 364460032, 834312252, 818181481, 809912154, 820980270, 130540342, 294736623, 255810137, 917200433, 600299393, 639373563, 180590444, 743978679, 454530819, 796013151, 366632222, 710626188, 621158264, 413763796, 251713013, 615627531, 37204100, 994972589, 850440448, 94197712, 941518615, 866514857, 390773380, 416669172, 281280817, 869075152, 178140304, 809064971, 13559380, 132758677, 84146393, 756773628, 564455727, 383416607, 82349518, 244658090, 722401923, 88100720, 121091500, 241758431, 648455974, 11696492, 267470993, 538729712, 493853020, 274408598, 696966688, 493459778, 808195637, 225538942, 942015422, 362429390, 598407105, 733628757, 104017402, 921002166, 334543959, 384775083, 499811151, 783423012, 387187956, 969440332, 993607801, 708768854, 488511485, 87399400, 472706349, 340963897, 803593702, 86789879, 21951242, 879279283, 711848219, 573632171, 760241672, 945271241, 476087930, 351107519, 547459508, 725837858, 403014207, 337794687, 179619366, 551179103, 450430038, 254139928, 759089942, 247062252, 368662112, 294300631, 664023269, 98290852, 949298713, 966356642, 78637562, 388519799, 226326651, 43513139, 179217101, 137242286, 359455725, 864428453, 300312711, 84249141, 330823060, 416476126, 532014793, 902418473, 533746810, 80254927, 477276952, 652646015, 252770320, 519466815, 363001835, 111023993, 111912337, 460729892, 173186665, 182133752, 868903867, 424252683, 526255478, 258911605, 340974214, 739864831, 404195383, 660755039, 786497928, 813096237, 817263268, 423994895, 407555294, 841307267, 381694361, 621633639, 634272723, 4656833, 756165838, 665238163, 565983613, 243806279, 650063084, 317867428, 538176822, 7060021, 285829435, 155868153, 711156217, 707537726, 371540346, 75576866, 48652299, 660494545, 940884576, 185911222, 71504773, 745619449, 28252421, 9731328, 625137352, 852526637, 272817457, 61361065, 431060959, 886397484, 37675059, 510213010, 495999201, 981745649, 84242920, 220215147, 907820279, 658040358, 277975218, 144019474, 486298564, 305514074, 522723166, 195186630, 676045249, 962465090, 733298879, 628253302, 499306608, 196602723, 117262567, 336467666, 344378112, 669094293, 343783125, 588977548, 206667727, 209623420, 494782568, 917686632, 997652132, 511452841, 961251972, 318659890, 535664368, 689356034, 733290070, 928322311, 761127690, 239287050, 946614212, 447656435, 637591974, 759526532, 923679796, 942706928, 492584497, 211037778, 626322929, 372222268, 715622012, 770367779, 485727711, 390213504, 944891236, 481503588, 568212508, 315838978, 784029237, 311893136, 903027235, 376497833, 943928735, 120684279, 334840251, 855998878, 19308741, 977962296, 519262519, 418634343, 382399721, 331123565, 72024208, 734818103, 653069588, 883902241, 130732422, 487040269, 637715360, 511870710, 164631289, 279352933, 83844931, 764929914, 116995494, 865459684, 558902680, 812631473, 166523788, 316016920, 445456460, 387194332, 145466424, 776797343, 95226589, 748257430, 890850169, 644204577, 566745454, 383268023, 162381935, 751983326, 790349002, 634465955, 687059591, 180685111, 270822204, 420862078, 818348277, 54974327, 827940598, 692786976, 604303892, 139587990, 704560727, 286178546, 714998825, 226062316, 624047810, 634281830, 667471417, 625790123, 87903816, 494010837, 742279292, 544230859, 594181801, 806137729, 331785930, 996469677, 605689189, 695958506, 139838746, 205924064, 409330857, 615124121, 237597386, 955813527, 909748741, 966517668, 348291836, 893903113, 158649333, 796098757, 687957045, 510907219, 438495875, 126531612, 69349572, 42310312, 50620081, 304175110, 325432571, 32025068, 112392018, 72923083, 384469030, 679262910, 276054185, 175176050, 495843830, 291775816, 625752256, 628108428, 971495642, 780604961, 904706349, 13719832, 179158871, 607808380, 169099512, 455606875, 815528872, 399005454, 992980027, 96048752, 769282309, 21666650, 524664896, 246438423, 967954296, 443966367, 1999294, 91580088, 357832704, 235863773, 349568016, 902719162, 311593459, 616705820, 685177049, 875218149, 577179998, 601900731, 451625410, 217823248, 877760739, 416077252, 866596190, 784066678, 457536769, 4269541, 139711789, 330380433, 26622584, 508552066, 55797452, 812125022, 288607425, 100250618, 459231268, 448672134, 856370468, 697179326, 861369964, 644427341, 671512085, 50052013, 618828715, 194770389, 918661402, 549810850, 269661275, 864514822, 319725214, 464940142, 840289639, 927625787, 315371796, 234319332, 499969150, 519720296, 29118084, 722122668, 242957267, 495275791, 711660842, 300197321, 433098424, 277598303, 469902535, 567613293, 634622987, 923900810, 588829655, 311379572, 343808136, 692471382, 776143757, 87530745, 412585676, 164002588, 794404169, 146735653, 679297084, 123702729, 573993111, 653801409, 673411285, 132180091, 775029960, 245790889, 530850712, 727129343, 435730392, 692905767, 831162309, 862594990, 839874394, 756322279, 791045590, 242322580, 417714658, 347624944, 465124778, 437997246, 939077815, 256498549, 308593589, 603376444, 752670900, 436924069, 18666190, 97205440, 397293671, 51097342, 559807350, 777792006, 674592048, 577341554, 421493414, 535327720, 983563044, 409122330, 500567856, 978408808, 942814197, 424679342, 8593935, 230400378, 402986296, 428644987, 105542296, 431129441, 287231776, 89772855, 235762476, 432987896, 217024959, 969518535, 475363277, 313814388, 839326592, 193670839, 92652826, 443641051, 386465401, 680220836, 292276093, 237174783, 856960710, 888959614, 395004940, 605015946, 551803663, 275257026, 1827731, 869840541, 183548212, 638692226, 136915996, 413571894, 510664489, 215150850, 555890943, 799245461, 369455378, 412838154, 947545981, 444612290, 33330428, 933573939, 875777800, 578511376, 602914835, 924876221, 156225553, 616176014, 398034520, 629858260, 996265436, 694591437, 208349524, 544048425, 359973373, 990314841, 548444790, 570798024, 594781307, 393784992, 80862154, 348122437, 81752521, 927145338, 889252219, 725189158, 570937427, 291452974, 264563340, 984044253, 147047245, 490033768, 940523933, 395577397, 537845692, 861512113, 342357466, 372810598, 678874394, 518863615, 813197076, 346997044, 650224988, 523504953, 83989065, 687600767, 923016660, 556406583, 895746062, 31388502, 98911528, 56761227, 508747789, 342505302, 595812416, 821159364, 32426144, 551008317, 2601432, 328090592, 967245866, 600109596, 821450879, 9463934, 296011052, 605979156, 951048136, 680325869, 149051985, 272501962, 558953154, 624546146, 488586788, 923075441, 434217473, 525758976, 135700150, 134153249, 589246060, 193811489, 345835687, 116658648, 864216186, 798668852, 186799154, 347534, 597858948, 756679923, 233240908, 399188094, 633932548, 203882119, 36641250, 739541205, 506716614, 828051115, 255383511, 731799298, 834568292, 491150645, 457818272, 890667284, 893838449, 263955559, 493879868, 31337211, 411525262, 580296946, 250611106, 374910284, 100024283, 474677951, 225514255, 869864303, 670280856, 935441918, 643457016, 377299633, 714115628, 663020586, 777578162, 282872826, 480849778, 166958911, 507652276, 230247485, 885312793, 249693746, 349327944, 564201315, 789019017, 216283124, 443773725, 970770262, 888559019, 368244946, 945076738, 343133211, 968256259, 889832400, 162256862, 10942625, 27562289, 704150478, 16993835, 580813670, 575410295, 711429401, 358367022, 428059044, 508540506, 40510789, 231625508, 367024274, 594443118, 597205845, 475960950, 566097509, 87720678, 267307002, 830859471, 806120356, 751635738, 910482178, 84977401, 262774469, 517074748, 296555029, 860652810, 117444811, 285489371, 656799282, 169771699, 840205279, 192048904, 398889805, 801663298, 131327513, 174483756, 685605395, 660814811, 538884071, 26601008, 2177810, 732061992, 726739604, 594341327, 528923051, 377090859, 548970639, 554860025, 983186198, 598626348, 683287187, 525495031, 886573199, 851107935, 901335562, 257166979, 610506320, 853864378, 575326132, 814541587, 435331328, 760617241, 916907961, 628608010, 9687791, 879447764, 545908414, 40594796, 231292526, 110314736, 733070198, 215418460, 350626683, 37392132, 394696562, 267604931, 831261185, 162845862, 52289145, 298389690, 129490735, 745817816, 686384241, 283045460, 741462739, 658743565, 469970740, 3733623, 51131832, 862575936, 272872995, 104586139, 253041389, 376741310, 623148201, 392806448, 957312265, 525920174, 619771690, 92517843, 71998890, 532525138, 799836601, 894761205, 777944174, 998119805, 908067505, 960907103, 170467469, 433412842, 706408373, 899318553, 574232494, 397668619, 724395938, 373900148, 654359332, 29190375, 430689943, 537324461, 964479876, 648687713, 692959099, 291549369, 118351976, 31468736, 511944677, 433038799, 225827357, 877420201, 604202435, 100372361, 119560538, 500305077, 110890704, 528926735, 63898737, 304887385, 200351776, 16622586, 888390380, 524418087, 61720582, 168980055, 641537383, 782928729, 446275845, 388706080, 795672351, 84196511, 352867747, 90387016, 687357743, 141535383, 535897179, 199150852, 770211770, 714930526, 813753797, 358169623, 509583301, 323800088, 329081171, 627663778, 542629583, 893572152, 808897029, 21676936, 321444111, 890040771, 419031499, 57174432, 958086138, 62970998, 132639614, 884649741, 475442008, 322484730, 538916343, 972659109, 318991613, 813558426, 784412990, 539734417, 353766044, 424146614, 922987671, 987832222, 318773916, 817435968, 883342491, 93313430, 693726703, 193940505, 763490119, 122716231, 537459198, 992797103, 402758600, 959698805, 28418269, 756829588, 716934077, 670044153, 673016943, 224754607, 355654555, 499097807, 185270360, 252683420, 318046600, 839557368, 121355806, 959136107, 302058514, 369294302, 30124490, 739053370, 875762155, 545584084, 481945030, 408573010, 258169717, 713174126, 525403420, 867728455, 810101285, 354039966, 710174797, 123925783, 810675694, 653673843, 218459093, 553352566, 801447018, 676904661, 767484399, 168613594, 720748306, 986259969, 825187006, 807808193, 430305832, 977061181, 148655633, 720982973, 622445999, 786052482, 982197373, 341724441, 533375774, 958630913, 978810689, 724908783, 988443599, 837509084, 32219604, 385431374, 226358341, 613740258, 379769458, 323042276, 618754013, 692011117, 281179859, 990739015, 986516624, 320044899, 300192694, 168176107, 960975833, 446091819, 927535613, 434451288, 71538578, 65848552, 601136830, 283724599, 689202374, 558353034, 968919317, 160357291, 28771210, 896752953, 115432121, 945712699, 253295630, 714189343, 507578414, 729906778, 998674608, 376486880, 951255478, 173019428, 75626088, 291330388, 361215161, 649997081, 27545766, 944048088, 790642193, 820770770, 210794370, 569317222, 90303921, 348507024, 536809692, 819514333, 785653548, 401859531, 396594993, 496173659, 608928623, 360190803, 691586465, 964987427, 504737390, 940541748, 165090036, 860558064, 711731631, 85488753, 792807829, 350476045, 548948506, 389287872, 520203243, 939426549, 346554620, 846130404, 977352801, 498043624, 970801881, 842514970, 946335129, 992910584, 272740605, 81806327, 570216787, 323149721, 369041490, 976835016, 715962143, 473490759, 468502922, 194654360, 943208710, 985654813, 598758468, 663693760, 718579099, 726068100, 979237301, 820548764, 905598620, 523878984, 709621459, 581098296, 929715571, 277182700, 496801991, 171039728, 844699439, 425838233, 513537340, 689629615, 129970430, 843702445, 318946513, 391733750, 828383550, 690096739, 436054728, 187810346, 178389, 457167612, 936996915, 551639640, 5846035, 860397392, 36949753, 167955141, 551124183, 684789382, 80832814, 120767799, 748447041, 464463337, 393517151, 298334742, 788983270, 963923651, 721196022, 623739990, 62979180, 799492302, 280149323, 680898054, 768729512, 397914353, 339349649, 89254434, 650633299, 854264318, 9386729, 96230876, 287843541, 291448783, 913316075, 756143629, 710664248, 792317781, 100300069, 338517818, 470504383, 237931559, 641167002, 902235020, 472967571, 641973029, 587136478, 53257935, 338798995, 262509285, 506237480, 11454084, 72074919, 356729920, 279046712, 893517716, 958553895, 151910978, 750219293, 791261489, 510523452, 218494203, 756814018, 708683240, 683156593, 459261790, 723803377, 430184209, 98738853, 809689732, 390904412, 558154883, 16810141, 177351201, 949976257, 818495985, 977104639, 531161826, 160719882, 242824412, 567086834, 757732385, 194690372, 30981804, 647225383, 330903628, 95314536, 580577116, 703930795, 70776127, 108617582, 192861382, 57480222, 330300381, 273096522, 286798446, 784563241, 633866021, 840448211, 833971239, 532077371, 34282928, 584825606, 771596988, 830419943, 276806154, 446201731, 134645697, 806647140, 585766932, 396198879, 450973815, 678896424, 88556859, 216768618, 9030966, 377765831, 831818853, 661402550, 113376235, 170865500, 73946406, 145993264, 944491310, 416486181, 965862657, 853358054, 720107105, 807684122, 840862688, 831552701, 150353338, 289572399, 771604333, 957531002, 642601263, 252441534, 813379727, 333001789, 799609735, 969102360, 800722971, 359019986, 180253457, 282770854, 517559247, 264434155, 584346127, 384760024, 810486019, 406057963, 232220164, 386526091, 180474093, 879270738, 320801874, 807668896, 30065608, 49148940, 409055888, 290825524, 938569767, 381374941, 64268734, 449300468, 217572059, 32764480, 907147030, 763806728, 963508555, 894192635, 667901383, 187319332, 63315270, 904640673, 186186258, 848168570, 29693325, 31568166, 707739554, 921380400, 112667663, 772820711, 531802648, 380028295, 712814889, 695616945, 73414720, 862083694, 868284747, 48472463, 880710654, 636815059, 603158531, 811261678, 362270723, 968370954, 295673964, 213895956, 13672225, 658452344, 185198747, 10939697, 111607572, 132902160, 871087419, 719248039, 991270288, 529020287, 982852062, 601183052, 457632554, 26144114, 382718073, 484903874, 277164567, 345415366, 380482255, 915795511, 213351207, 412248132, 833045706, 16656250, 494855585, 432512645, 752402418, 903313188, 116668958, 390116708, 83003780, 371643102, 733245495, 56786792, 598505650, 908252362, 310815448, 911391064, 841337174, 720629046, 37362186, 246512286, 864383596, 239955567, 572125433, 727011545, 889972784, 421156585, 696763820, 43513614, 768320761, 140014801, 733060491, 352805615, 807737034, 643187100, 960747867, 644711498, 524858653, 434349476, 333210577, 524832081, 233525669, 141608495, 507902054, 211307056, 515152835, 999382385, 700390881, 50879954, 914547479, 511545823, 93717192, 129810177, 177381126, 380447798, 917694128, 680252483, 139431398, 662298739, 729808606, 791968970, 454254072, 228129159, 644615650, 688003839, 150984680, 186804538, 647073938, 449563575, 225885461, 650510806, 655412978, 318912192, 909617993, 810597461, 214510079, 942205639, 380893663, 151642678, 413963359, 289888282, 183683368, 898490576, 14593444, 907568468, 612935153, 349395179, 339255690, 723062246, 17665630, 536038589, 600580428, 706759499, 237710657, 48602062, 163876870, 644710735, 902102474, 969216310, 903703587, 516011592, 283442362, 933525067, 795143459, 322806744, 417135748, 142625094, 489995324, 627570474, 914650037, 435368511, 590825506, 915782858, 425811107, 282249650, 654080931, 989744328, 41439886, 285791079, 681389548, 371412355, 680044976, 973418393, 339204829, 281126655, 8066977, 636037358, 374311292, 420045245, 957823748, 793672699, 131648991, 110286370, 684884228, 640459948, 671037555, 942729905, 749917081, 332731366, 341433391, 856332981, 717566720, 176598030, 561387074, 260205614, 791676625, 977875312, 158099195, 932483633, 661052097, 75616315, 402023943, 622630966, 966082147, 114831530, 368446918, 983384961, 107529112, 151623176, 347735278, 976306294, 833784128, 504302504, 471896788, 281074202, 753754833, 50880773, 191187901, 794222434, 763015896, 740953357, 213807339, 587504997, 336224476, 356624371, 463172081, 556685452, 806986642, 684621910, 685767379, 133203477, 896386396, 172277519, 953764759, 279711630, 988591852, 383800093, 393618362, 744776328, 988710201, 777809274, 474282693, 292371774, 655803016, 427515150, 200068539, 536056906, 267899770, 978897615, 932745638, 23535974, 911728439, 135110054, 101854150, 827400101, 981329957, 168047412, 66992994, 41428311, 139203394, 572000707, 850594011, 912677251, 149158682, 676597898, 570999380, 258310731, 948951857, 352973301, 656499135, 462524481, 52008397, 309840264, 74060455, 816766249, 502445540, 978612904, 367869586, 141763556, 284235098, 125108287, 699361872, 314445990, 35091782, 7613634, 206137822, 231354981, 607690276, 742127027, 96641129, 524899947, 728702811, 924839953, 287425686, 969702835, 833961310, 857977531, 729039394, 407403875, 224404625, 384004608, 335068173, 952902123, 697036412, 866022476, 8805393, 18195363, 608287548, 192835053, 230605879, 649881132, 547798210, 68844484, 803441561, 229477871, 838297731, 862547618, 211000726, 99110347, 295553795, 578484841, 616353020, 861890374, 609475303, 442937948, 315838278, 191383817, 498981832, 723098701, 877491535, 862798902, 60763151, 586990806, 808950578, 642944658, 516653324, 11009758, 970574247, 281701348, 657884340, 134031783, 444408013, 392734749, 641997054, 427255170, 342403090, 879459562, 991283817, 554869371, 897341502, 537130783, 134609461, 866640280, 773369730, 990505085, 357737369, 862035498, 754223881, 204650576, 489658717, 599839898, 221408866, 875151890, 119586588, 616839026, 631827160, 592181816, 514076151, 863427531, 735834407, 958885028, 355476397, 807909950, 442918088, 245441307, 904388717, 968919259, 738631437, 242147484, 66624870, 300313478, 300592386, 509493852, 306030235, 990071527, 866121822, 704785869, 855093344, 985288152, 978157199, 106100404, 800239170, 433698139, 269137109, 476489242, 56479193, 745257585, 402207595, 999703049, 189517239, 481595187, 976754521, 908372202, 77918038, 215199638, 852353644, 991864228, 173697627, 604517310, 207497856, 764633311, 966693628, 949241644, 172193512, 392935787, 400515113, 270590491, 365795203, 757123802, 824246620, 486691927, 624275437, 851693753, 992601663, 257262673, 165670786, 387766211, 798848030, 509541284, 658576651, 573126393, 103654910, 550343325, 34915842, 187921791, 893025971, 534635790, 754560061, 682387083, 352556639, 427293067, 644424007, 807641912, 156697438, 588593467, 815567150, 559251333, 627167377, 171121396, 352165490, 156972319, 998526231, 80894314, 375992578, 777700068, 942357362, 63553054, 136165269, 404471230, 991187489, 886481513, 374270943, 808431138, 690017518, 709953910, 974387008, 45209372, 280033642, 24935874, 134223175, 74813421, 571988679, 101795767, 273305871, 590474190, 793279387, 327037430, 974476626, 618365560, 907359888, 971828562, 910420034, 403728229, 726967423, 624190226, 648672440, 164180821, 991245222, 859615046, 478577875, 322001978, 878243800, 127676739, 699747955, 25344265, 845017156, 433842728, 31940292, 642675248, 640164987, 450630488, 372439814, 199584275, 247162042, 355370250, 219815792, 819384742, 977107706, 612862470, 705318466, 677474842, 357207313, 173312387, 385004993, 652120036, 606662918, 472485912, 173908182, 103850283, 656698187, 26458390, 662938914, 219770858, 359603318, 320600395, 812953112, 784243307, 515008440, 192035988, 97233275, 62664174, 44420034, 756045242, 697044354, 306690774, 967748873, 650763199, 456264025, 112876478, 227655047, 714644464, 759881671, 415263421, 145704879, 265226236, 179245300, 584448338, 786868978, 777930829, 816845311, 457515499, 6356144, 384970527, 973253077, 154171857, 457551835, 996499984, 175458671, 315533653, 118385025, 686068090, 128960988, 136482992, 825381546, 458933728, 826102058, 536981578, 925147859, 488657133, 243499607, 76734917, 130485461, 196137242, 714775894, 213895668, 964674963, 158936017, 651760668, 69276653, 957318116, 332015205, 541701613, 9327603, 332793181, 364278566, 335372252, 864753442, 89950097, 965790534, 252334030, 294611692, 426986254, 893070498, 63897006, 72779481, 926722646, 271465376, 203400850, 532791352, 661895773, 299501189, 830078238, 952889430, 704503949, 268244967, 360227433, 138871662, 999905128, 929147265, 206552001, 124261396, 290510500, 845792959, 465434092, 457342551, 504524517, 504294066, 476008084, 580906199, 776941451, 898509124, 22159961, 190405551, 733825520, 577399405, 742221288, 117047792, 718683141, 573393974, 675179954, 79664439, 840260737, 942702021, 425507550, 841051000, 415229381, 150817953, 472718408, 888785269, 10383905, 423295280, 140062946, 581067096, 205219547, 606820767, 290832609, 617473042, 930312931, 442153357, 58118983, 864749857, 750937094, 593200634, 674134571, 24734862, 775716824, 694650418, 912421190, 385371526, 76923387, 557849777, 434252555, 952274832, 788908359, 256582123, 778725243, 210844397, 575411076, 231016532, 199849448, 720848558, 820005705, 364450693, 764517533, 488235882, 851820855, 405109715, 277787487, 147721503, 544914971, 491203230, 697897250, 300017663, 887121662, 481500212, 510548480, 717469553, 454316318, 588911962, 66939277, 136435194, 738475200, 555834576, 749586347, 793925912, 542377600, 725613364, 526150137, 349921090, 246121008, 643817236, 641776021, 257340798, 762785349, 566790695, 975218974, 720065834, 598331602, 693677126, 694834118, 299335997, 691213745, 924308981, 900605984, 12563288, 252864822, 4795025, 231855517, 889088813, 424434076, 789865225, 978603876, 508586783, 956008287, 884635739, 304095507, 876470102, 531941854, 794186711, 318598930, 570260988, 864901937, 554170521, 679492880, 169197213, 21223631, 201379034, 318937622, 506421751, 459096078, 918287107, 605853777, 544257612, 528718262, 65434841, 424853080, 172215585, 885210109, 873592285, 480079760, 194222640, 650547659, 316799650, 651658766, 401576480, 929713423, 939239356, 163799335, 790508583, 566140178, 135379711, 647461003, 350424979, 869884378, 253584236, 914798243, 900530967, 121879908, 618024158, 991863649, 824715879, 960610001, 876098450, 792873602, 889285822, 48244229, 137905533, 194972363, 995232400, 323360100, 996634770, 45415861, 627475156, 91288366, 54383516, 815228673, 311980673, 278849543, 119293782, 773216332, 958329382, 774487099, 840319937, 724356825, 134651421, 625234433, 224762057, 540109041, 986456775, 574097070, 173044372, 688892911, 836638986, 503939283, 952139913, 255150014, 939508698, 925225447, 759836046, 588219392, 106506049, 750958346, 387565560, 9587423, 441472422, 733050538, 807872632, 627372907, 82433711, 907617479, 977821548, 932524446, 159033448, 657795795, 364218784, 7452197, 70261052, 327227019, 240163647, 668916487, 852436194, 720068343, 768858665, 125664218, 47724672, 881402304, 630863796, 943503514, 152730682, 295990036, 178217136, 119757621, 883619189, 333452395, 231550579, 958670728, 501360412, 553602047, 59849587, 788225878, 156470367, 278984666, 596422504, 198156000, 279119079, 220565538, 295208193, 468785881, 989376477, 536639733, 587797769, 829565916, 665856423, 773388263, 491809459, 544083359, 484503272, 266674446, 732747022, 422726996, 618586808, 970425575, 285012304, 953764511, 654032233, 422692043, 201394076, 993889648, 72562110, 266771542, 899158118, 67325674, 299562366, 996900181, 579119656, 315597886, 475433331, 605894978, 894869178, 69289373, 166949962, 945229278, 995502918, 77620385, 894026647, 1140180, 525201908, 958152543, 161920162, 47941701, 509530537, 753241634, 626565470, 291570224, 574845715, 806539822, 485798031, 579542283, 335929098, 850443702, 735854197, 78793918, 695662296, 389008580, 975166401, 126557359, 667755725, 878920818, 822176557, 335149510, 416913212, 176954486, 375365867, 204128446, 126747226, 971090374, 262374833, 865038902, 59397185, 473311355, 737270652, 515155925, 220296370, 328790490, 769213223, 238791836, 411720090, 767798299, 874534737, 690052515, 448852897, 111558252, 781517461, 70824242, 555218849, 163969758, 99859162, 655255794, 31459848, 536365815, 152422368, 219917265, 219398479, 708500052, 614025521, 618087731, 227030371, 452906413, 520530598, 395405120, 714570567, 858782670, 875100007, 28594681, 590585990, 475241588, 908162505, 658670905, 510204037, 15678560, 635022879, 97567117, 17738315, 834950235, 483952928, 586823646, 519653674, 517061577, 523352893, 273681271, 339488461, 888942365, 469431070, 336520990, 741973577, 948491313, 970652124, 942084193, 472579232, 652790494, 980443870, 617366837, 805740706, 937374493, 898262045, 233282822, 376516786, 471701632, 410119332, 395637425, 707192300, 817780668, 656633447, 441131980, 339502835, 648889412, 386676241, 716784576, 786540950, 53439464, 327579616, 338191277, 47387614, 80976197, 646242108, 770339012, 228083015, 776093508, 294378752, 94327186, 520159269, 411352320, 225853987, 39170003, 733991755, 893040309, 900239556, 141003937, 793943664, 163523360, 245103034, 905117537, 463876886, 723999852, 40676761, 698178233, 281179793, 755114713, 966137881, 373683905, 554974332, 274488152, 586423515, 388354970, 800811027, 483487994, 102339506, 255677212, 46485530, 340503432, 168766321, 582942662, 182151811, 869269818, 720274937, 413865913, 311705852, 752795096, 225305931, 767645282, 879602793, 981873702, 633151794, 464322695, 871889403, 120797509, 557019306, 162538943, 207060485, 974281350, 743450375, 385852862, 633260250, 842261591, 654814907, 285292685, 171800370, 381194895, 120084661, 703627110, 285926371, 530514730, 387206379, 281390570, 170575199, 702516668, 105812482, 372846547, 147680562, 165432477, 831367530, 609290036, 590157782, 950277372, 679603309, 825204961, 764693296, 521457044, 465198166, 930688062, 727187334, 816509530, 962740325, 369826584, 726925763, 54543311, 582121043, 478019400, 847878185, 46662299, 625175652, 827281549, 402830592, 358643268, 865964286, 207668915, 321564478, 324744944, 19381972, 558414746, 627060711, 437238959, 678437431, 56348268, 38062589, 904233036, 281142684, 646109706, 45345272, 755864105, 588778789, 584977738, 96845958, 589569433, 961718777, 559665184, 604232887, 314356042, 901150853, 884959133, 688095791, 177059026, 962960672, 951981738, 700917485, 684640743, 609881311, 5866040, 781196069, 910091238, 899725556, 257502273, 71856604, 342505075, 434233161, 61449295, 174790840, 983857156, 207529877, 992580306, 220711322, 953511584, 153975731, 357274757, 303407239, 959124204, 342962270, 751326366, 284906235, 550981694, 532126053, 901880569, 202409853, 50387041, 848526135, 180659014, 462936616, 86448329, 805286929, 432595240, 139953269, 23987456, 909282381, 456968555, 233149603, 986920265, 292806821, 647361597, 109010573, 84196307, 910076493, 17221826, 831033961, 414498780, 855614469, 11557460, 302953619, 107401987, 405788525, 280037162, 229178834, 511277053, 551245746, 735121756, 694239103, 249053923, 32280602, 990061944, 393057915, 283963231, 267536251, 258608188, 524677539, 259261730, 92340883, 129522353, 88755555, 582613026, 970336595, 324612297, 394378180, 833996358, 54665420, 303450036, 563432515, 19159866, 591211177, 656266471, 355567531, 899964335, 784438194, 673083717, 226604012, 644142670, 5270117, 525642091, 353630421, 848680619, 186066950, 480479881, 828234435, 575284408, 293370703, 819899444, 413907536, 794344062, 690346577, 369752653, 309089482, 238225664, 121323316, 37624528, 668680676, 281302436, 326104531, 742841720, 809293233, 27566545, 249666650, 162610151, 840712406, 51799936, 144759137, 145108939, 669690204, 125484174, 301911372, 553178437, 656615604, 573475792, 526212945, 237275970, 578901040, 538148928, 764298410, 650824234, 831295213, 620968307, 523430535, 775717986, 407502645, 750025151, 778150837, 259332986, 803423323, 213922652, 213015998, 952925204, 4778185, 235425962, 256710139, 32460460, 866359548, 449296215, 784104078, 332752071, 914814044, 938443974, 203370191, 814355324, 509378241, 956347280, 989202281, 278305900, 973989630, 673544508, 132012989, 791974625, 513091592, 279736921, 802818415, 169939530, 339601069, 507495300, 790805401, 591061974, 626919325, 679783371, 988962336, 216620794, 236265932, 597252954, 395594014, 280033836, 474416390, 634788514, 920389927, 192938974, 602847991, 413722901, 448780884, 953686715, 804494288, 186950156, 55701861, 636115082, 354166339, 282489905, 9207792, 197788341, 673229655, 125653912, 319024504, 188342261, 955311124, 504593987, 414089836, 738973205, 72620727, 607796283, 796900170, 501430097, 900424001, 851798908, 418974087, 444721669, 377662481, 432838887, 559205089, 534727171, 48070046, 899379919, 975018995, 744934772, 440756132, 750985430, 70177720, 267853929, 653712622, 921599967, 331818032, 679086634, 150445478, 901946301, 127545865, 668512036, 931741287, 241556819, 719689734, 364137602, 53606727, 315052832, 171486700, 375063986, 552924690, 403986359, 883047858, 30037072, 370467725, 975795756, 206289139, 990741558, 861185956, 498671028, 300933860, 807196563, 803811048, 884279796, 749985533, 964881722, 681974228, 745169164, 188666053, 397029756, 535516306, 138655193, 957460599, 915928806, 979468529, 390397629, 974443578, 217103168, 143922150, 846394650, 220627051, 240315661, 92403626, 935873286, 361298821, 539625736, 188770673, 891498722, 420786726, 512604613, 590487653, 665906781, 169234336, 911893821, 565456366, 842348452, 293840968, 177424116, 76922978, 598571940, 689267581, 401836141, 724215277, 169813697, 511564131, 663223201, 331561911, 690069199, 331965540, 959900942, 129198797, 873391339, 957740423, 695410670, 678441949, 334636047, 271354556, 680883260, 702022173, 829873591, 116180875, 347377518, 785257163, 310360502, 748146261, 693218536, 349353757, 103553344, 15386643, 215329538, 25742085, 782424322, 793001903, 886309013, 78453845, 654748408, 485540354, 300583553, 643477137, 814843047, 488312339, 422596818, 533769993, 624079426, 376270178, 885586631, 910745121, 406326706, 651034229, 945986871, 390064788, 321973268, 183082176, 486723422, 992500146, 513275376, 381504298, 941935378, 622767573, 566753028, 114469196, 695072566, 177556310, 749843415, 894344649, 612507419, 43682101, 16207285, 68372558, 720787435, 333412195, 812878450, 648599748, 505626768, 850104833, 789088845, 227783436, 245286120, 259318404, 457598721, 72462829, 502449778, 962991473, 269045645, 323655169, 848912997, 583748577, 969863176, 33593903, 600518228, 970489235, 635147900, 791807389, 183050226, 936774078, 121805868, 250150651, 90303292, 149502165, 197762836, 636700465, 780415384, 215781252, 518946395, 60989490, 557725781, 110762453, 813521985, 793394695, 136032405, 498702897, 561222917, 814638836, 126763465, 887092034, 657468523, 60539862, 275171972, 394782715, 203246617, 591192195, 517784145, 485329479, 960594924, 67824617, 985005383, 645377949, 265006138, 965354193, 493997765, 225549308, 424775398, 873422677, 100835877, 523361186, 634604850, 679520485, 343423085, 610824136, 667600080, 711010205, 677778021, 465092210, 577025022, 367102946, 544897681, 249145118, 483116080, 930727221, 121954705, 320182857, 106706148, 231033, 424160064, 478510533, 171317026, 320023488, 562993326, 537271712, 180066821, 219321751, 937130203, 98536165, 524648869, 764828169, 160172181, 32557975, 941423760, 428433102, 709936115, 483515314, 504702594, 841976325, 193967310, 23549085, 8961430, 181825729, 604676784, 416747268, 865733406, 452134522, 854334811, 256469379, 168972269, 888333947, 573935886, 825508019, 308822870, 307969133, 883590616, 717092192, 146609754, 313399444, 296960034, 24908682, 579015318, 823745985, 319639932, 336437521, 976261568, 588170038, 325088270, 303886179, 284628535, 506179186, 936850059, 829888271, 712020424, 929266749, 444552150, 733340315, 919067338, 546155584, 89169203, 217145688, 251909564, 249068836, 198166527, 92825061, 550770686, 121525901, 980682541, 554282612, 320540684, 884866828, 639489386, 937583969, 215136796, 29878957, 23722858, 866591837, 969035846, 911591563, 574422297, 3424448, 698748719, 939135691, 257455081, 382762986, 531509906, 253866805, 107510532, 435157112, 814573395, 730396555, 11367446, 288942927, 730005602, 590175915, 159950765, 482870548, 81237797, 43009777, 889331697, 66071791, 177439150, 369625244, 825303469, 317217692, 87361907, 275282806, 911375369, 181630695, 760677413, 143260425, 349107194, 461224181, 230162936, 343052527, 324486171, 344254484, 876831446, 406207612, 428205027, 232961625, 959374905, 951668576, 99168876, 385564193, 407321048, 513667200, 571263011, 155320525, 620274999, 672963704, 241177613, 840198719, 352430211, 741407388, 540399546, 549524813, 241608476, 609089510, 174041641, 22863352, 444665667, 269539533, 558653886, 641643568, 77483527, 786462278, 711697495, 676134350, 153560882, 215030443, 510248763, 742331728, 608695290, 556874509, 691199902, 61154259, 723627372, 964369221, 134288146, 565414397, 65185071, 853027148, 538756287, 362477559, 48799809, 137714018, 973993976, 26328690, 438449421, 331577259, 437490261, 18946228, 629779669, 782384052, 871068398, 774582973, 175763900, 547228391, 536115484, 141842148, 717751375, 174254948, 452864353, 438088888, 254558168, 909196631, 141585594, 692792087, 439956384, 317450193, 325075520, 901431402, 746887660, 249061803, 591630530, 179491900, 559256155, 250257176, 671019755, 832424875, 542730931, 297195046, 411014496, 352333860, 892517270, 459728845, 102660699, 77582024, 288041902, 601380320, 941858594, 283104766, 261574529, 744829524, 166667572, 147760694, 853988465, 131583158, 705417872, 332985959, 31651600, 228868744, 988847727, 249160160, 149749516, 144102726, 589848741, 315115545, 98882182, 419475081, 27046666, 944675895, 436442430, 331603110, 332114422, 993305516, 69896596, 967646236, 254361862, 622197377, 869499096, 93472426, 572269644, 989716289, 601598391, 977281619, 731819764, 880190352, 328537997, 768896136, 700445272, 928631462, 393585850, 29728348, 812426533, 25323752, 153063185, 891776445, 99893081, 884235874, 942110105, 228468580, 994506564, 129253231, 390953916, 18956713, 270731907, 87896119, 698763577, 536883840, 548939344, 815266445, 68367104, 447943571, 210655171, 561780610, 105806013, 464039795, 932069601, 777513439, 456513627, 829042458, 45366162, 78136330, 246532393, 465887098, 465510640, 723310345, 661234260, 120274148, 870537063, 763813112, 626785529, 952109023, 480432150, 116967287, 792320079, 719301494, 2562960, 308461832, 776856310, 33352174, 905337125, 280530001, 215534536, 425102639, 505942559, 907743463, 552188163, 673654924, 614388519, 17324689, 123425783, 596552474, 928485931, 404729194, 538704601, 696403858, 79257069, 155092539, 201693396, 581717945, 220712087, 516336652, 657741969, 620468902, 36503701, 646270002, 118949219, 630301927, 265156886, 716485342, 94510341, 162426105, 34925758, 700869516, 532221934, 289924537, 25312697, 542009508, 842707888, 409246034, 188797304, 546508972, 990265216, 531527362, 435479677, 591428663, 373630375, 366037618, 147901390, 396575650, 940847636, 347720993, 736378813, 549533335, 933870204, 634418557, 205184835, 632869096, 537709672, 686821183, 197977660, 861270636, 316866349, 219725342, 648924640, 228880347, 614947878, 780479872, 577552148, 867139034, 840425368, 888775363, 618096470, 518842869, 824075846, 555889774, 788070602, 29810384, 321309829, 962525180, 322804676, 615799287, 227944357, 5096871, 245564478, 22278174, 601731907, 643940705, 526482374, 498828666, 470779528, 989898175, 830983724, 261406310, 263130428, 238194031, 203996986, 785641862, 291558998, 857064994, 338952021, 319498750, 949619229, 536948095, 807497503, 238075631, 617561090, 741574656, 710491704, 236997805, 58180248, 225886919, 72716140, 756120188, 845102963, 330451665, 312121167, 300878438, 210005627, 710288616, 437587705, 696407718, 553144838, 184840820, 622600436, 559368969, 152790184, 223648996, 637999997, 701809930, 109109081, 648032328, 136301601, 690630137, 754894264, 95822067, 260494022, 363595969, 227177783, 683689074, 435737127, 174966694, 654311344, 621832122, 577605459, 257565699, 935377403, 14124796, 494646272, 55985068, 918180308, 392412028, 205007186, 538662109, 282510694, 971558980, 12096228, 600081332, 450100925, 169902331, 210253559, 67816274, 331325359, 513039530, 36454466, 244533546, 2101919, 722357543, 618167475, 474432105, 855090678, 487737425, 463139987, 124570382, 969499792, 458320303, 898733939, 149514219, 137209395, 204918537, 439489863, 446528036, 403153331, 878643306, 314766412, 880861432, 596514147, 195771695, 477183650, 667937075, 240759864, 252652922, 80341095, 494616756, 103901156, 998436863, 549896291, 895602023, 94994006, 745094695, 115399021, 689264916, 479973382, 966450796, 380279219, 844280274, 289884649, 293909259, 427405175, 921481605, 324484350, 605277109, 816242478, 538349514, 472056539, 74244594, 362360172, 856552378, 47347708, 767980260, 884441039, 12736037, 226673257, 659524527, 781807920, 233917950, 415472207, 609642902, 339714777, 103029629, 257708386, 359518804, 617050359, 816504226, 815883486, 820533849, 152197070, 875101907, 229351715, 942582181, 215575258, 591935841, 377896713, 975732118, 15726249, 57722077, 688250597, 434330006, 820368376, 962872070, 586161611, 213874477, 848139005, 652950877, 182491261, 442379062, 49782964, 741332333, 671167545, 191056821, 570274827, 881408158, 152443220, 651692882, 721325510, 166658817, 489621768, 910481578, 775827268, 541741185, 300159377, 694718194, 600324345, 325169269, 341642452, 963081612, 529915727, 686071250, 120684955, 814294505, 189067314, 156488849, 882801209, 18639796, 248021817, 870014183, 137571360, 787544295, 709022008, 493683204, 70426506, 607733680, 651452035, 420879340, 173019047, 967604820, 539748903, 313081807, 459827505, 437591657, 711491033, 430692346, 375674342, 816240105, 991666799, 82734144, 55838637, 555254508, 320739930, 337067692, 166344325, 89210077, 4611185, 545297314, 900648727, 711594180, 2007998, 424197145, 692767789, 683386915, 864907329, 49009270, 963129036, 89151931, 720844890, 344842305, 492171665, 67697682, 396976053, 374952972, 520940834, 35243450, 180391856, 594160937, 988791225, 972759390, 306035108, 723030436, 166351997, 447616777, 629178524, 350975420, 843358589, 164566706, 162998628, 995087174, 935274272, 636258620, 746045412, 734770299, 495160232, 738369726, 788703573, 444024769, 977058350, 501457967, 52504538, 696008365, 579759568, 975733758, 637184230, 833981422, 741546856, 367691905, 261757826, 210256446, 166072384, 720181679, 776864341, 58690804, 664574081, 393847953, 720940138, 813443698, 299935989, 73993409, 406635153, 62828285, 513242227, 92633998, 218041615, 732702428, 959863649, 182580009, 868842411, 177596073, 570261750, 221555135, 189694933, 507406603, 416872275, 451038762, 356395556, 21406758, 595651788, 648616311, 457167191, 427602022, 288767453, 584139649, 163737922, 524761180, 325425379, 571259768, 219047112, 244474962, 806476882, 70950022, 658599965, 258239512, 489901847, 742094937, 895265129, 760891463, 746769918, 351027406, 297694662, 321611068, 121742129, 890136363, 687465250, 723685941, 839362754, 854477663, 852766369, 213892507, 340525724, 742112115, 315502968, 295399225, 982768669, 895005412, 469984542, 595750218, 457298504, 541564400, 184505512, 573173889, 910298325, 532688026, 372973167, 759907120, 872637955])," 90410 (continuousSubarrays [413731335, 708336615, 580085319, 965787266, 153396535, 591706899, 72721949, 674953891, 25636195, 948911655, 310850223, 386611508, 121141727, 808100, 298392873, 256726253, 175205914, 187915309, 657868217, 431814216, 270931564, 482808416, 846581830, 969190130, 202954751, 344941064, 305956776, 519071697, 98968590, 316288473, 771386513, 321406714, 666237611, 369058382, 125237637, 797497392, 5605464, 40734473, 275360753, 238178478, 800575742, 719846386, 716241553, 915332913, 721102739, 941978111, 645458450, 171452992, 829709893, 754359272, 673003152, 644744845, 216541790, 734948943, 683613208, 838534829, 603081028, 815431649, 352087711, 140211730, 293284204, 22469334, 897099441, 791488292, 99266880, 979355467, 373745765, 90037547, 961655046, 309461745, 193364737, 124234102, 582986, 857155781, 228344949, 278300939, 171852962, 238194209, 602079420, 325459203, 761636070, 560540757, 683762146, 536611697, 108084330, 89997168, 174648446, 699417636, 368273871, 239270231, 391868945, 609215741, 700049755, 809741386, 817163827, 871100123, 346868100, 861099090, 644271475, 394272061, 490454401, 644394657, 881767225, 834599122, 287498283, 375092578, 420342855, 4000933, 211111295, 212319923, 781867875, 267537512, 341625517, 413656489, 801281415, 594434, 801007943, 321374765, 907027605, 605118147, 336984727, 279791512, 871713172, 485049515, 153294539, 197724101, 978374901, 553433438, 962255541, 915612957, 249146722, 98268937, 762756724, 345221529, 29371830, 214098867, 322318837, 111719620, 673731698, 561512126, 450358741, 930383888, 694012077, 721782616, 915076595, 700166359, 957949767, 620792132, 357407477, 144854746, 967423508, 376914401, 149002547, 512037393, 356617712, 823634069, 917894576, 234526984, 833909698, 801274627, 237940936, 361945441, 840951465, 88002496, 113299508, 183236224, 223963566, 192532708, 955943454, 582845092, 684863998, 974926659, 434490852, 666925621, 951922254, 948781769, 269592311, 986648341, 785123125, 838865814, 943287768, 584171302, 28570371, 631314234, 781596115, 443217680, 333204827, 241415409, 213999286, 413781985, 310232141, 999044622, 628588643, 978380099, 824326324, 797681320, 156693224, 112145784, 947601358, 950562974, 494537697, 402120769, 7114010, 937456540, 567410413, 128875397, 521652145, 730976213, 867588791, 635633782, 39059846, 110144999, 670754947, 86063238, 728593109, 354849737, 957362000, 748743772, 770989822, 567276943, 791676823, 252069739, 956291521, 293971084, 732418410, 573495473, 473709615, 151288094, 178720569, 744989963, 775285848, 106362128, 746619571, 630679516, 335103311, 886547599, 427348844, 788963434, 720701036, 316032412, 488895813, 508908871, 980926474, 38871807, 25448939, 743692941, 975164034, 305042452, 386000934, 292726712, 271695008, 870759, 105884490, 94235554, 315968749, 913527536, 925914200, 744330646, 958804076, 145076876, 441496119, 402285014, 172213728, 169337806, 861042534, 586556348, 199614766, 236678927, 914626419, 656747484, 536165158, 199529608, 396479791, 69286094, 19800830, 903654001, 236553158, 747469314, 777537787, 270415574, 149388146, 74400287, 408750353, 289661278, 321944803, 65274776, 792999794, 663706642, 175482094, 813034331, 992430157, 287882232, 438487982, 427977428, 612396567, 119920863, 940603084, 465669645, 162707962, 462939356, 878376176, 930982098, 606577721, 926425328, 406992069, 669793207, 545976193, 728185279, 796354077, 542883079, 181147355, 465623475, 686865566, 663350157, 63513768, 137935593, 917565590, 886870659, 11445436, 800849397, 470104196, 920935548, 495365622, 956450015, 448479631, 3029746, 829993242, 637419854, 275364113, 366817830, 225756186, 827038380, 237179227, 950321772, 751840365, 118100349, 248412969, 265898443, 715451284, 917768105, 304928619, 842114964, 385856998, 321836303, 299829327, 840288592, 330976027, 109072258, 788020064, 792750432, 556960388, 916688334, 200152808, 996937287, 855926397, 676215528, 212492739, 649660265, 970060576, 267597002, 167781870, 206955139, 430916249, 748609618, 515896812, 803033637, 793689075, 548534581, 538324103, 183411531, 201243818, 599537504, 700391144, 557911654, 51996414, 548944151, 158261211, 616006451, 111582550, 621224415, 340902531, 943885077, 743256658, 196911496, 872411722, 976923959, 955308225, 833507771, 24017746, 540185215, 163122054, 943017611, 855797206, 816165484, 374728161, 982580543, 494547501, 715216836, 871502321, 182940591, 709230709, 557987404, 392819334, 906114528, 398796636, 565543554, 537027209, 187854476, 279930917, 363397967, 229580194, 24015436, 39306439, 668000971, 422475936, 959728478, 429088887, 344077326, 419642544, 30275043, 894648164, 681893497, 60418295, 923875981, 478237376, 53166924, 256824820, 120238770, 76801085, 850766631, 343951556, 551986164, 15782546, 612560189, 817881999, 902536232, 483356197, 768100923, 835058136, 80866190, 856731801, 332392883, 369822756, 599059558, 153250436, 677183121, 799588468, 276867444, 571407204, 347549505, 278312466, 966210989, 200557664, 150037612, 417386225, 824570285, 342316941, 490373184, 484095345, 885418724, 106013468, 902998002, 576464868, 212026191, 134921934, 264730231, 173416926, 426686639, 496806619, 219824633, 93790039, 650501396, 883577034, 109886354, 19184042, 583601582, 214197200, 8849132, 908027782, 473886796, 207044992, 76840755, 835555470, 998541685, 78688441, 2827655, 714460831, 806380957, 556238150, 702580286, 567714041, 243230630, 86720563, 62701673, 215853615, 78188446, 691994899, 116965365, 900179597, 512174404, 757720584, 302245326, 929726034, 773131145, 122947131, 768574752, 461913631, 545297838, 711952955, 799755660, 667207693, 387016143, 753348286, 158279966, 716779547, 609894386, 437866035, 97646589, 753477047, 281498129, 591705538, 46827770, 32682921, 858190303, 665669424, 45444551, 223380929, 878307807, 736007544, 861020535, 590178625, 634284662, 399756223, 87368198, 886429843, 686766055, 276174149, 521120704, 613108288, 849052145, 146646259, 250221263, 612027197, 623760543, 206748793, 922383026, 270229216, 151607509, 716259767, 968705433, 123403254, 866296346, 564391485, 963039068, 356790218, 988067875, 418524951, 893380393, 171779163, 64755481, 548151237, 788971640, 841725143, 927643523, 786340731, 630290254, 176806686, 605885633, 892104570, 501043790, 345946105, 679562320, 665783998, 217185772, 381219151, 882628296, 608473379, 332805512, 56566108, 925585918, 83015590, 254176096, 932334129, 288039543, 457713543, 846359446, 193969957, 636900718, 329621267, 639165997, 963448136, 223944067, 895146022, 557647432, 646539153, 232139458, 32228366, 333162038, 451494641, 629478700, 30768043, 118435128, 182388584, 283986470, 884752985, 45516620, 264728776, 93124502, 232682795, 407730356, 454644103, 560670331, 206494864, 665484115, 747835656, 869491083, 554345470, 29516098, 852742245, 42655265, 425852606, 50663716, 516189766, 321400450, 718188085, 203454416, 278541624, 597682318, 587039170, 296368722, 732535579, 110714948, 937555221, 347954526, 724477753, 620055420, 284402158, 146124168, 763015906, 953936077, 673788060, 825563655, 735934087, 426531771, 517511130, 932554319, 189329293, 292900931, 55161390, 310959308, 483535385, 997199345, 973244766, 612355413, 954308705, 984859433, 359607273, 743175474, 35022266, 959417310, 136718697, 926594041, 516356542, 74705318, 337746782, 896018366, 899482249, 300926791, 696835683, 673231212, 562571404, 776555855, 939619077, 838564848, 636538558, 253050192, 683060504, 984688992, 307974244, 283372334, 778956955, 689761985, 406481107, 14291891, 347227620, 69625173, 579166626, 41424192, 879126995, 456955392, 663010276, 717612835, 963318115, 736922174, 484654684, 791843641, 38579674, 795825389, 497339006, 434806962, 652390131, 345940390, 93907458, 645962363, 284085320, 163961521, 675082385, 107379399, 235054852, 306850097, 267194775, 12475538, 398394422, 945322302, 85066595, 58335379, 93083420, 937646795, 265322953, 414848641, 628546849, 885605272, 611960029, 71300872, 707529456, 203519640, 904855747, 947758838, 469804206, 528116603, 982081061, 373012403, 180752230, 747937832, 446414086, 462683272, 885011593, 754054680, 713881233, 135380616, 551436332, 758717175, 455031398, 146912511, 649989274, 358754299, 248111693, 839059227, 729934034, 665481302, 850532818, 269804145, 651283525, 477837349, 937048296, 485581230, 483691200, 121639719, 674411996, 42051473, 254999016, 334506778, 345294312, 356534241, 623031843, 627940204, 455563997, 852758338, 665197802, 381757926, 439627824, 648049707, 135323521, 109739298, 888047617, 563577448, 432935334, 864669427, 950560113, 633179031, 780669622, 907134460, 198717665, 890665536, 457587904, 184484965, 81276651, 769854047, 45405839, 208140976, 637347877, 228873096, 465752861, 280407394, 752168231, 711650345, 88894179, 697828595, 213659810, 568041834, 347149794, 915180944, 716092361, 766407138, 149345188, 101330956, 597732507, 19821446, 689477539, 371841395, 139447671, 144679961, 784762364, 808896792, 172847976, 853629079, 628430389, 488459291, 300400394, 891468567, 815692958, 523045758, 177388290, 773739145, 397110752, 958194515, 640761148, 646682357, 677658927, 947047201, 158130416, 345388562, 849454439, 476040908, 67076603, 74483251, 270237006, 434145305, 679391888, 239209888, 575743537, 947020258, 29982786, 65339228, 293454639, 795063205, 246857433, 783907320, 393630647, 568762951, 306074758, 922988635, 694819402, 970879428, 455679704, 212376216, 997776697, 855423864, 677069322, 310592112, 91567111, 921453754, 225429190, 371350941, 235957205, 707966988, 501175677, 565691995, 738955477, 33396184, 162724691, 731371019, 399931965, 561248316, 976210094, 409571727, 573027417, 517715106, 369660110, 178210695, 560019596, 252599420, 415898413, 328290766, 386753946, 719202808, 180165193, 925409999, 597842541, 664280152, 994655470, 989054279, 221977146, 608096993, 177671408, 127619823, 388409434, 363703327, 865203222, 802778059, 219558153, 303955686, 626020841, 578270154, 457779398, 481976299, 781708969, 944998681, 667066644, 507859378, 691276117, 375307211, 300374293, 694615978, 88932354, 954566837, 570053458, 325505751, 392936053, 141709077, 714641953, 340246795, 158983891, 856453030, 476861855, 560448974, 221576372, 772448208, 57062508, 132293472, 498376038, 416156538, 865353333, 154858954, 927836276, 907216222, 846558843, 676462152, 434378702, 866314004, 670415126, 904861588, 850418999, 302975282, 984827028, 345577260, 554134319, 544854958, 565596774, 310366024, 17910569, 918313569, 334051047, 899956946, 382511654, 160117597, 720442857, 379556402, 877458950, 292765966, 699918481, 550858665, 111545290, 820881785, 993301842, 308445312, 136113246, 919317248, 76541674, 467027571, 593287573, 342598357, 478869556, 453782080, 535498761, 512863157, 340014702, 827734938, 449353949, 729077402, 22276351, 736766269, 393531337, 745679509, 279935525, 493997536, 832023340, 996919625, 606430248, 252205601, 527759321, 825971028, 848848206, 718311826, 783199109, 384897174, 432343008, 107686214, 610382970, 627198023, 929646503, 358786231, 800923701, 256403902, 631903868, 958679879, 606442146, 521617517, 138742386, 526546010, 943515984, 931671476, 812513572, 786285022, 8034113, 405396209, 95714134, 92277382, 477747542, 799940327, 896793430, 494787896, 592010774, 8371281, 53712796, 640875897, 272634160, 154239003, 166722024, 326851209, 664982616, 183225438, 777672419, 695421105, 532798499, 185272727, 269208992, 54031602, 303491895, 508076960, 38161764, 669458990, 763700802, 133768885, 66571419, 332765184, 286080219, 410370061, 865414802, 106340020, 607411838, 686468455, 980674668, 572196789, 350654464, 263288280, 591573645, 272716357, 661662832, 17301381, 846253425, 276239867, 710925627, 345850488, 172748944, 720276497, 830664775, 208822833, 269604920, 309099484, 982317947, 314986552, 773287077, 750600270, 833813410, 273508835, 581329099, 649800751, 988757236, 268663805, 233155640, 439200021, 704711916, 340428817, 88324629, 739318435, 805208225, 30214482, 11667106, 880231600, 296234196, 202527775, 272785462, 85570851, 206930524, 158405208, 744852941, 496308108, 430260873, 581774515, 389483578, 644217884, 978644595, 309731298, 823169165, 868280281, 221049982, 978450207, 856046889, 206461635, 701897057, 433780053, 481339485, 61330756, 799145541, 911167866, 207488723, 610636375, 405869894, 102341409, 623531841, 371294189, 482933052, 821832287, 395455790, 365373327, 859899797, 188750301, 157327886, 201708214, 981655148, 568593284, 11447376, 704056583, 853691294, 929765718, 867689661, 652778673, 678736806, 29907996, 587751788, 430040407, 167489770, 206790429, 32739086, 998488865, 731108511, 145848401, 802725720, 632434616, 570700852, 531114033, 247323014, 509584135, 854169338, 984936008, 812785848, 780268263, 293665316, 933357329, 900522410, 216913150, 658392842, 82729587, 928020201, 246542059, 629954375, 676441382, 640169483, 609881129, 893816886, 762131991, 395270473, 402346057, 192443411, 219215208, 76092517, 676589808, 987095262, 105540739, 754070186, 87970786, 936906968, 479684644, 157227726, 843034713, 780789152, 991684617, 989012687, 713638928, 845462838, 633572721, 527597588, 187970877, 551924609, 908104139, 356526509, 947973846, 287531904, 368884759, 754952633, 795545133, 67745136, 781670999, 519061099, 944914594, 656745076, 679249536, 847332578, 294172234, 816163130, 555879280, 970069641, 863387397, 38409322, 355818671, 760099475, 531856656, 53936327, 279823079, 948140990, 965518126, 353922218, 200829283, 603711874, 755229679, 321801256, 430960874, 602148374, 885553559, 789093929, 711154245, 664739264, 228600828, 307829014, 103639007, 651476143, 8138101, 823388907, 878957621, 691461309, 659327330, 489912293, 413049832, 177972834, 275307680, 876023238, 768807355, 826587272, 736672976, 216435475, 487349073, 607079682, 883922293, 23948295, 886188621, 546760920, 207095748, 321301745, 290036870, 669825611, 621498370, 301925206, 925691420, 335354994, 429424789, 591585472, 524613200, 339984036, 900359720, 92923328, 905892915, 201371015, 690420231, 90619015, 246443495, 186347028, 805764862, 353280814, 285368182, 354402441, 323023485, 396364199, 718622780, 832184, 600785897, 115313110, 762948544, 451458935, 416157136, 780261318, 946846801, 488731555, 467329511, 741703242, 2309424, 58553289, 147950607, 543848335, 482709470, 483232376, 933160747, 905623908, 271978875, 731550634, 92537489, 931298197, 372604386, 820892540, 706933772, 866427648, 681435659, 87791021, 962277540, 702302773, 612418274, 566586339, 531418163, 212012934, 22420066, 116294017, 427298032, 588188941, 480754582, 958970820, 635445821, 461684313, 25237641, 707708114, 285421054, 636979498, 534488517, 134537996, 573651066, 778211996, 297152349, 981990991, 94330261, 267544507, 607774534, 742960351, 750790892, 687665011, 609432555, 127056040, 909313271, 310864816, 560698465, 929854496, 90637042, 171798607, 474091866, 190333634, 132192401, 307675697, 198564991, 467104529, 749218248, 741646970, 338239943, 318088786, 134256018, 623326505, 162204385, 445071719, 84376471, 268984039, 824635759, 805378017, 239093820, 929355962, 12335178, 753620269, 603878675, 51159571, 400555138, 927041300, 835504522, 726171350, 400983102, 358150636, 344665908, 481756721, 251242336, 295043691, 415962542, 913758599, 111517785, 423761433, 503053658, 194884323, 588078540, 718140888, 523613132, 450351051, 503526620, 830037658, 633231798, 473969186, 996141499, 823443876, 515858164, 555740081, 776437847, 865403087, 82734522, 926236247, 99468669, 405108225, 594580402, 761994997, 240304348, 201507122, 113462820, 364781613, 869402824, 350507036, 623640033, 216653571, 689337138, 725853496, 969462378, 880140140, 607518758, 755946679, 813607781, 255698977, 966036932, 878926096, 634115631, 244456837, 894683587, 817240970, 58220318, 590517693, 585765159, 180430852, 481887488, 36188242, 17773085, 810327385, 822915204, 560296126, 202928704, 749254079, 526905804, 646756794, 866888268, 580018090, 489031494, 559663258, 272580501, 374898828, 158268266, 822549379, 948421906, 81866449, 959990529, 405420587, 19196530, 58709529, 119084269, 411145061, 712341084, 255804011, 177348066, 331079796, 890849643, 43516975, 732280588, 958155787, 768865587, 895149677, 923408197, 711202999, 619168110, 155600920, 537719386, 401231278, 73183990, 134329509, 183280529, 602112261, 902666659, 605190591, 86090875, 477295210, 234408494, 135196569, 423482189, 129847032, 671983693, 531267536, 374671287, 582156388, 978417623, 158967063, 824847733, 459921769, 990416567, 883473999, 600771904, 321708529, 97704799, 674009918, 256895128, 745572001, 785990678, 694379085, 785393692, 139499981, 316773317, 740087705, 362998006, 793949399, 529138921, 779903627, 179654716, 617366173, 583651712, 803138787, 414570553, 270609377, 259193200, 149093106, 932521885, 443906154, 869471485, 728773909, 987078272, 66387044, 994341389, 31811108, 605436569, 181588170, 851740847, 428750091, 635341282, 615303444, 341613923, 987286694, 63810661, 601736867, 367423763, 358750294, 21385945, 536549389, 224073134, 908074312, 311971782, 41858382, 929576924, 289753986, 920029407, 645000994, 220997854, 951531687, 467513694, 798040859, 145395042, 840760159, 710479528, 174421049, 788076005, 265542245, 82774055, 766809571, 478516002, 947413061, 511230509, 121591704, 12416809, 491944114, 832717451, 630629565, 881620877, 50408117, 757642856, 93616113, 578449110, 864041138, 218140648, 739573473, 247690670, 692977352, 114903635, 212749017, 367107123, 883831586, 336508136, 536592435, 721478117, 544508468, 626728182, 227415688, 545452112, 92260591, 209274476, 364600612, 218264139, 331598817, 121975173, 596595040, 144819563, 384696635, 111906949, 199066296, 852544130, 287666918, 466408994, 215037610, 776148646, 143302235, 614490586, 545193971, 218330004, 891563472, 98679046, 147710475, 622255911, 778571501, 441003607, 586419318, 479857603, 402575157, 382983304, 186263041, 428129570, 936566321, 375652041, 888048904, 676814082, 395646379, 678684668, 95081400, 337695960, 198388430, 746629561, 490103305, 136224723, 954782470, 905609914, 192764728, 620837778, 341043461, 449567709, 16148897, 48960736, 13137924, 15160714, 973551303, 530093381, 670145556, 980662824, 842445131, 587948548, 644743872, 17712348, 623960213, 941611645, 437897142, 740568060, 206999374, 280438024, 632798957, 822889511, 24591569, 865144193, 69254796, 238651238, 865514563, 192944549, 344505079, 974756231, 791556700, 154327527, 941380658, 927831565, 336508836, 362901036, 252011646, 1802074, 737579607, 209112523, 260213570, 686582618, 642956391, 275306945, 601678177, 958575484, 634003392, 676395873, 767602218, 207325742, 205166807, 359581837, 414668788, 311790101, 73377179, 320995330, 726351541, 841097334, 308136066, 929338548, 459183296, 552363253, 155033258, 687391407, 40369502, 399707430, 441850841, 928123680, 296462381, 323214466, 945967722, 469077259, 792909966, 156590061, 756510015, 933403491, 893219035, 928875948, 526315862, 756896513, 751166815, 408446317, 838531174, 593831202, 304298775, 405070986, 811446196, 466032385, 87128607, 869784367, 299500460, 397039652, 664783085, 483631800, 451850920, 148108505, 976320197, 308000602, 186726641, 214510746, 96698232, 222484140, 638792388, 727309438, 768100598, 405772613, 672335026, 3125548, 98583732, 280294416, 489498907, 775363202, 951900602, 978863160, 440305503, 349402480, 323847643, 993961069, 918551710, 328072514, 231206965, 789247867, 131367812, 125618915, 563084042, 399203963, 119243107, 714903829, 860774111, 766900018, 905725290, 394311739, 228650509, 642996197, 36153257, 356140251, 224629587, 844745104, 253968060, 565111557, 343040941, 466115334, 973312213, 915150604, 355238148, 658840592, 785423118, 763722188, 294086193, 173809863, 348517867, 877667141, 617188337, 491224323, 528789539, 255288740, 258499173, 898343497, 453918864, 903826549, 80434292, 150757602, 833945549, 891464350, 565992242, 334700943, 802336872, 450473690, 280270859, 892946581, 138153471, 327100304, 276572296, 67549691, 315737078, 577199727, 191010696, 703245924, 618788711, 316382655, 607061435, 834859554, 246070374, 248666652, 97086396, 108551426, 297094355, 253631200, 558433434, 868304448, 384265042, 955085543, 829446894, 684460743, 43936312, 63833416, 885065419, 34494294, 972177440, 758022393, 528532090, 387387983, 13062534, 303265324, 182270410, 755188342, 636100451, 118980129, 538704446, 644397469, 154122018, 840724502, 667511591, 132284721, 872377154, 282160554, 330958291, 801103067, 248827678, 76319661, 360294209, 387233283, 656832441, 62019489, 157320427, 758412986, 746719372, 698161212, 787018660, 246835661, 879814196, 957764678, 56055627, 166318443, 767075391, 163396082, 440001027, 793918403, 927579793, 616208632, 525499036, 985362048, 170581666, 673114281, 422560901, 921245163, 888505653, 244862466, 755687979, 308131593, 322954592, 467364254, 39570734, 791368480, 771068163, 982980768, 695192613, 526092979, 275401837, 830590155, 379416756, 705426232, 125828588, 713321239, 603390198, 15373925, 131499536, 590990244, 585320324, 965297198, 277110107, 89571726, 983954663, 447140540, 138215602, 41359650, 340236648, 463967801, 576198859, 436040623, 545039097, 670427915, 498140518, 262231666, 785004014, 616942953, 782191947, 716466633, 50315160, 274931836, 715714153, 137181297, 974215292, 625900950, 318857650, 557069969, 403350402, 778843347, 78915141, 352003917, 152225373, 711724823, 133786300, 429811808, 5438497, 413350144, 324805175, 582928216, 502067412, 302536569, 79915926, 262206749, 830636980, 340167017, 648355063, 459945291, 69864440, 847941719, 841450818, 211302260, 780475703, 551431815, 190898234, 628878910, 979545553, 996435985, 273410093, 138758589, 522669360, 974307676, 801135424, 446094044, 273298907, 764601587, 595204710, 866936437, 908376941, 853199017, 601488548, 891377764, 57827911, 753350571, 61600406, 476006156, 436672052, 245304427, 171539891, 32740722, 609297442, 421062638, 779577674, 790914027, 843741481, 615519891, 323576434, 893093779, 153724207, 475861604, 6976568, 769960428, 669697249, 721652390, 358065158, 644258115, 534961471, 107840586, 764810077, 181890870, 509493009, 81132472, 175634367, 461570493, 284398396, 379500647, 31782829, 261217061, 39552613, 975723746, 981134081, 926465682, 233412795, 544255630, 839767794, 64611268, 631704423, 680504505, 78609955, 753654362, 245745949, 321809324, 91326980, 480139299, 50870750, 452780641, 984163580, 4236369, 667656910, 250444181, 712760650, 443775310, 590502920, 784436719, 785506507, 744319456, 402604512, 467141403, 341414353, 601815337, 472568202, 13704160, 929527657, 599092153, 863038896, 749376125, 579346166, 229013417, 977245189, 104048011, 726079062, 931757071, 799461439, 93987121, 651680291, 78792256, 979254270, 427703181, 397690189, 527556296, 729361637, 19301146, 542611347, 859009938, 332461453, 848947886, 762489565, 852310890, 523779121, 310655147, 377435140, 468309975, 244718386, 440811636, 940037896, 72243965, 257215034, 651548705, 794286323, 433276852, 958232382, 171790538, 53418648, 5226118, 404018104, 873291369, 321807151, 354792113, 830690912, 945527872, 216470404, 653811890, 981144316, 607414712, 769539250, 107671818, 102570011, 15684039, 723952448, 731979623, 956953138, 739380293, 270919429, 750088466, 849781831, 171522685, 536354176, 998052961, 49757192, 705930442, 538187851, 180343305, 93957807, 51247223, 829840308, 687895586, 932170852, 661679460, 627791416, 946826259, 822589554, 598170312, 997796557, 676041757, 935813390, 685161801, 72425486, 953974810, 68525757, 805082254, 671588514, 932607493, 195369808, 758163333, 144572205, 834002385, 634082125, 666887480, 767454091, 562150940, 421096460, 328638399, 858926615, 525790239, 18726584, 71769579, 899265887, 411248251, 14775613, 867023116, 894563930, 371093961, 874678144, 505523406, 259706359, 324979771, 96440357, 875200784, 447029881, 664176421, 648670116, 699728729, 770533919, 826712206, 590162638, 499972005, 544415193, 763403045, 354065558, 103404943, 38978182, 7406911, 214214861, 749820134, 180696438, 999592382, 307101157, 227210948, 712461226, 42968507, 385099071, 920384324, 912156961, 578168437, 94503362, 745370693, 65370187, 603830078, 77457120, 25896102, 929685720, 949156158, 179804062, 307568501, 59127807, 677398118, 862806293, 476821206, 81176497, 929610983, 39732898, 578236375, 639982924, 640438440, 831806694, 228031358, 525957489, 768896195, 544179047, 866408305, 24590029, 376315026, 932223558, 101309346, 490341441, 608094837, 605479312, 600859610, 920336984, 727802194, 175767973, 249461792, 764795797, 614232673, 590809348, 190710589, 873215413, 701324209, 917237583, 1731674, 394484315, 428901387, 234256603, 754488229, 103196521, 248706088, 68765620, 527384784, 342104021, 394604600, 490251877, 469174900, 236666888, 645885702, 365041806, 306551573, 954086918, 742465961, 995407332, 714449098, 509575481, 474634533, 246230853, 667404858, 289452952, 623024559, 736680837, 7442503, 707957993, 739040070, 152413642, 556011186, 229488458, 939621870, 7237687, 596633048, 408582621, 93036351, 80692053, 383751390, 316267179, 255243279, 614669856, 148848957, 295959764, 470285261, 232377397, 992310871, 257337028, 988345371, 925194406, 43555239, 65467475, 33796906, 977861317, 726995273, 474282957, 695235422, 603818422, 574636901, 558445752, 936682400, 365476516, 955594632, 129417742, 287640817, 755116368, 211028797, 284622888, 460148494, 278417708, 747896528, 959979600, 52347904, 468664021, 668098190, 178468240, 212440378, 457536872, 83317756, 367541293, 45815078, 821700934, 226374771, 405427776, 203468470, 525432368, 697041097, 878138151, 800263551, 422160301, 673741626, 796808293, 936402809, 516169132, 578193752, 48967098, 305133504, 519921419, 303358112, 302277149, 860037263, 331739118, 251834639, 681478197, 69524498, 638683975, 979972053, 83179028, 992175419, 132347387, 653548081, 252770919, 566825843, 537120507, 563440436, 915705427, 150125138, 487477572, 695675221, 257871215, 936637989, 213038009, 420818744, 102340823, 490224339, 104540989, 429620596, 488217832, 618241335, 263368657, 208178493, 12656915, 226301817, 579690099, 437525627, 730471811, 807381802, 502291137, 57087345, 770850407, 720563914, 551926373, 721227768, 411716355, 653223238, 619272163, 703732323, 913201082, 203097163, 953305689, 446216475, 834971408, 140150400, 784580486, 287153946, 166384116, 184461532, 997697827, 715435092, 909805532, 116036325, 301482013, 904281551, 253632579, 260778270, 732953283, 911561950, 927555493, 764405091, 864188781, 858491089, 338247600, 439969305, 108181624, 616215446, 952627178, 485712980, 530233813, 773032350, 796087558, 693829210, 892534993, 195611180, 549985227, 120545299, 986627163, 648915710, 430118229, 401773568, 518695409, 522303580, 521200064, 459573665, 46205646, 244694493, 706791537, 546897494, 766199773, 837214879, 183208372, 841896853, 19164614, 501483054, 47034683, 21126811, 11466994, 375253198, 520340304, 30816161, 871991497, 668325563, 904812791, 146969289, 724403480, 147549355, 878258453, 494536387, 143054553, 270512101, 88060187, 661606791, 537175661, 537649568, 577045877, 926110588, 415697537, 613043118, 987409038, 291454344, 527578521, 176708589, 245275724, 345758515, 547432103, 101757866, 94632346, 957630514, 906451498, 642062563, 182260848, 57525291, 780274072, 575651658, 76640948, 199400711, 897729922, 697697653, 199556364, 429479274, 328497702, 873839638, 142527996, 203705833, 417561122, 484111084, 203216550, 897917032, 302398380, 400501993, 266678110, 894837846, 612299932, 809230351, 433577237, 442926805, 889969425, 815903584, 415341747, 807110349, 164217573, 844063373, 711626795, 377370379, 156244635, 894197295, 579596616, 286625420, 510754596, 774517766, 83798465, 776896517, 947867479, 540909478, 710908554, 551139106, 975495304, 813874578, 585430929, 818186404, 159539853, 478908433, 892422638, 387067082, 793858278, 590144539, 266614725, 843893829, 849840219, 443475922, 813577456, 254783140, 397313325, 575872401, 470275326, 204661822, 73415800, 273405868, 898678826, 300830628, 239149688, 706391567, 596545640, 810034994, 787084644, 843859430, 513265632, 373440212, 112064910, 697220977, 399304434, 973369703, 526028940, 242617561, 991795768, 995590828, 427415979, 798668023, 510514058, 148812132, 903439542, 899872756, 903545712, 43926251, 711026041, 954892974, 683081780, 468071581, 357607931, 563861743, 504844890, 319480376, 737069045, 308225544, 838281808, 743281821, 852372975, 610773857, 213637643, 863223267, 9421902, 759375075, 497446434, 847147110, 336300724, 461918508, 516373509, 453829632, 507297300, 95817747, 463389723, 226361518, 944418704, 473105483, 1527779, 529938978, 236585930, 541762011, 551867197, 960165783, 27081612, 121164421, 344605869, 223417372, 859607334, 202698258, 389222938, 817968970, 89250665, 860972900, 967039504, 541183532, 458256227, 256052562, 274704336, 626036135, 889993317, 977550305, 286490719, 950296491, 454054345, 666980239, 618286493, 879706816, 17716767, 94531918, 313995279, 231159396, 267325271, 872465324, 266501164, 951627183, 971070863, 837657732, 5374977, 883714029, 580020514, 141173494, 108991354, 861658220, 914643906, 505193627, 989350304, 495682089, 806054513, 949735837, 120431880, 352965807, 897069118, 289083241, 968510870, 728267628, 167609296, 441844469, 96248380, 833750665, 840465737, 557464208, 496976525, 888557258, 557079170, 401610993, 889317974, 136220416, 142567249, 70584221, 770068981, 472260082, 249852565, 368226378, 98484400, 15798912, 146162118, 31975181, 799183742, 191355821, 507046224, 794572734, 415062640, 831080016, 517321774, 446918846, 840566947, 125702654, 590179266, 809761059, 298487296, 31622693, 348549270, 773320262, 869766847, 157175907, 915369349, 272073512, 19034270, 655464547, 179223368, 977053451, 646395281, 809725086, 73706101, 772144321, 275638864, 115094120, 625844468, 108142176, 893514685, 799726753, 845793799, 493926696, 855979954, 861480416, 41441872, 432743455, 598794099, 97478927, 399788796, 958201080, 509400797, 618698509, 790524978, 882242602, 174831825, 655391951, 812590664, 611676506, 186242081, 909394611, 900000867, 664604597, 414145815, 16208849, 638803672, 801436941, 467400904, 300147197, 586386640, 79902003, 980043479, 706693141, 119503701, 363057655, 727633406, 276448348, 953918554, 487723756, 294977747, 945302675, 509623863, 297228199, 776603487, 759415145, 637534440, 373015984, 959469054, 334153534, 993112395, 372226063, 264698150, 220360696, 434942417, 324320465, 378520103, 500931840, 892977552, 574509978, 506485282, 734039431, 638935762, 322164552, 608016614, 392124708, 231644165, 746964540, 74583030, 459745720, 450579642, 758967766, 38281233, 219532041, 322709463, 898136470, 578656799, 283869314, 601566489, 745863301, 88139288, 395854420, 61088540, 787626705, 235893245, 171771551, 878019312, 617197601, 495626450, 350764946, 924707455, 54949103, 332359554, 243213712, 479902117, 683012595, 149302909, 117260532, 66804229, 623510732, 134619558, 15297747, 57585451, 578946902, 275355572, 749723880, 184754230, 39937725, 964452393, 765940992, 281303363, 382733425, 713117284, 333292058, 9986507, 548334795, 499935347, 706437490, 941436442, 185545079, 398808089, 954212374, 935308349, 668933747, 357978719, 115218609, 331249665, 262813627, 882235884, 300798048, 436082707, 465053988, 810567423, 533932226, 148357548, 980613483, 628555460, 750662000, 46517353, 105929001, 245055160, 629080519, 216815656, 119411069, 773966705, 302905776, 861329884, 152507319, 286531793, 969541736, 186459772, 371556685, 216445422, 639405852, 620271226, 337057501, 558545888, 389255095, 907178897, 552689190, 231180651, 929859379, 178092341, 908647647, 520783892, 723496518, 129584616, 303905254, 181453841, 137434685, 605589113, 754609274, 145491282, 661832805, 471044486, 607362589, 972763723, 610486665, 956320498, 342370159, 965320573, 85583333, 52584375, 603543279, 640044567, 869501421, 236135960, 992640951, 228473795, 798857839, 515731563, 610118402, 93976213, 482335623, 933867184, 891395091, 678588782, 144298317, 480244966, 978082757, 89026779, 152629134, 214973733, 18246584, 90880035, 163903251, 705622160, 613122215, 382792552, 405463394, 62001998, 183372477, 884705076, 944692426, 841304619, 853975907, 143949907, 387032322, 750614322, 229800533, 186833229, 674937824, 572624868, 338691328, 468158772, 57709314, 653555002, 477777335, 899463806, 647068391, 719143299, 999571506, 118352181, 702689888, 705744067, 347303310, 13831087, 623347257, 913085005, 982166867, 519761203, 791527702, 589002666, 860380423, 513184780, 91873923, 947471826, 221916558, 205560938, 365275377, 212701267, 616285264, 769492665, 335809363, 865581593, 628975548, 303655284, 406081981, 559724811, 837011703, 591830558, 76829321, 960928299, 639602228, 952194190, 826625327, 744426466, 670501789, 415533635, 587684370, 282261414, 4300707, 622301382, 55038870, 35990469, 54921783, 558281322, 365364612, 147843427, 341510324, 893934385, 521108668, 23059992, 316331565, 689481910, 609366468, 450156720, 531858890, 383379745, 906159452, 101507460, 113019745, 210466778, 405650227, 38122283, 116990067, 270178820, 224368253, 385361073, 225183903, 133206972, 963870667, 419150888, 24158292, 379431466, 242163178, 365924029, 231491787, 626778605, 955941574, 521747901, 414564013, 430971213, 534382035, 12661998, 672485075, 700541287, 53505652, 161289397, 763291328, 99921887, 323823106, 656615764, 844924584, 797064377, 542785177, 675521733, 49629005, 553511212, 435787776, 399463766, 747127122, 121166355, 300244423, 199995943, 20728135, 842659864, 247291715, 785349965, 542191801, 752249527, 547677993, 717842517, 870515210, 399022711, 415433793, 179880231, 898051335, 50914259, 920103010, 915339240, 718353063, 191510128, 50626020, 208493820, 931119991, 277083900, 787672570, 203265068, 549600461, 411131906, 87869401, 245183582, 224464359, 483768091, 905693722, 846874659, 639459170, 601649048, 550105884, 982475937, 437693911, 696621056, 841943728, 918891036, 87696158, 575997747, 318893366, 267072292, 15799069, 747869880, 863878947, 776862807, 850623909, 463236545, 497932982, 146803223, 489814231, 943467622, 115775767, 315588510, 934038526, 374392113, 771917541, 631932532, 154008664, 905019369, 347608640, 620737388, 272009292, 710544374, 597325103, 777519043, 257174144, 621611843, 376804255, 285022176, 255767850, 739200421, 615337076, 762436815, 358487743, 559826208, 967424982, 277167634, 132392810, 458777184, 490286676, 557858486, 474843625, 326842365, 912976529, 1772911, 513084242, 850944001, 572898304, 718248659, 515290696, 107116413, 152435449, 252937676, 730621367, 849525019, 913975423, 319069088, 945877399, 49232863, 638388085, 534796961, 289761734, 392985425, 147491049, 500297018, 428829208, 557190085, 753200120, 278645015, 149344789, 198546306, 228373074, 266527267, 366504096, 891139688, 776063938, 592524046, 15623342, 915503829, 460961070, 368119931, 418233441, 234586214, 953424289, 467728520, 549309610, 60783529, 329518423, 452011368, 731386652, 18801987, 955816316, 177048398, 891755010, 738101430, 886390572, 932026239, 311723479, 592802192, 26862749, 732520170, 460423782, 910459760, 572196093, 260263664, 668400746, 746381845, 429429508, 343606063, 303556673, 156285634, 166724299, 320907010, 35434550, 636956689, 206431964, 528698824, 677100792, 797274590, 762926653, 196839497, 659284630, 135308669, 760849921, 389314515, 420468477, 187846650, 743793220, 632138865, 548895918, 77553709, 761140630, 396661975, 210008634, 471704282, 630866309, 427854917, 560008390, 112139405, 224128300, 870052165, 203007247, 178218504, 593065188, 311773465, 843264111, 863637453, 576983867, 672137099, 375606766, 513249163, 576048274, 297030427, 223109128, 124504477, 355410316, 581394080, 310219432, 707233072, 924903041, 816431525, 285119506, 283502295, 954009333, 504112778, 576134972, 801160723, 137616696, 396600015, 307547683, 973448058, 331279303, 368001390, 280293146, 253782850, 583639868, 992987950, 156179994, 50733967, 395432975, 283921690, 90418343, 60601303, 875239499, 564178350, 677852843, 565704633, 505857408, 418398461, 967394873, 545944896, 76489697, 544536296, 922855937, 579990147, 139594330, 660807744, 349618723, 104406354, 912771398, 260406988, 914202177, 850679865, 310031188, 153055098, 294744130, 47121286, 179046424, 801108209, 160964729, 666134698, 744346568, 554445732, 625484056, 471180832, 510282473, 797374080, 974905583, 191218348, 272344806, 410328844, 124518793, 912246473, 693916134, 599007824, 287549821, 84720114, 778874609, 868649460, 417812467, 85192026, 730638490, 333771548, 428844292, 205146835, 318839122, 262809544, 149481760, 324915185, 598046934, 45139050, 531175725, 592439203, 643898432, 996082917, 650674191, 317402339, 269798513, 633561405, 456448079, 491677825, 749057285, 29084824, 352175499, 831685171, 61526259, 288511375, 55704263, 225084032, 118130013, 392454528, 654612005, 199101710, 432612736, 277125387, 885937576, 85937817, 905866763, 125766569, 734124951, 640443647, 631231152, 528408077, 756308651, 608894852, 542746417, 399476487, 587993006, 314996247, 277069841, 161000197, 730906723, 37689357, 692585705, 487890944, 744413486, 557049054, 383132495, 52841388, 615879504, 253987563, 917362696, 144188443, 179300638, 716394815, 574063746, 933364097, 560533115, 707056590, 505229475, 985596027, 497843829, 490326213, 655546820, 347486070, 926407851, 80230587, 992106855, 280390747, 888136061, 27895490, 467368985, 240434463, 246993006, 791624750, 858514565, 833361762, 657727886, 595712069, 281229208, 450477234, 95183191, 647022609, 725160869, 399099420, 116930593, 200459363, 880806946, 900243092, 491200449, 473295037, 540086306, 765655459, 295258173, 344238937, 78243922, 656477947, 372754042, 418453062, 370248261, 467900501, 696490739, 263457432, 874322166, 598303607, 287744504, 674970062, 708528246, 372068490, 101895817, 690621023, 349422252, 231612541, 497517743, 605595783, 532179645, 981389639, 592561266, 815474675, 539566828, 102455061, 591858828, 126408893, 336044076, 866657144, 157169176, 930996847, 100539211, 499389296, 109260986, 891366579, 930224964, 98828757, 96236247, 398061676, 414446402, 938490885, 56893574, 700392215, 110946570, 981096212, 719586090, 699827021, 19835259, 720802002, 174217437, 776120075, 739541791, 869122103, 156894679, 777605994, 711748602, 327903595, 921471339, 189185986, 406838333, 563585847, 717315085, 840868281, 401126440, 623557179, 765435289, 130312295, 43951268, 677666913, 895538548, 177962823, 201448091, 230315326, 365958700, 972727586, 326172513, 868946635, 44652887, 379925712, 327350523, 700184464, 300519822, 644604260, 740145919, 661365513, 333698349, 514035114, 859527213, 271711531, 683933935, 629303498, 144506972, 470515193, 162318345, 361468988, 773681403, 951061808, 618054892, 170325268, 541789267, 879940958, 835631004, 228332363, 285941, 893489786, 707683348, 95338226, 306290205, 802405981, 293220340, 967511979, 593726390, 835193546, 76873636, 239104489, 98862539, 730794137, 483217075, 565334732, 620839406, 488761639, 306143438, 443844020, 191707075, 673806132, 371244124, 426322917, 690821801, 126313746, 368560425, 293999434, 238721923, 198407199, 259064807, 477745889, 669810485, 396775991, 917671963, 15555009, 961291894, 521275086, 118553165, 376450715, 436208891, 754192196, 960953410, 691003753, 277420959, 48223675, 895557693, 478440090, 845184988, 812492659, 716399281, 27282094, 594466981, 147543633, 191024744, 290864892, 192183368, 813367972, 563033685, 586187140, 196464330, 850801020, 300870970, 311947313, 681362461, 726142239, 239308072, 84012810, 241603802, 399718378, 901032097, 788930297, 975620475, 310650235, 137819782, 395221412, 242337596, 136332832, 262323761, 428955394, 616825046, 272608443, 942188421, 351541622, 373663972, 366026932, 569044135, 828867394, 839860756, 483606735, 140373407, 144133406, 571177100, 864133331, 483809534, 352462943, 476034081, 529590755, 811034676, 746270821, 63369749, 593688894, 278165128, 103746320, 170691917, 19098123, 596619039, 733097272, 370704721, 74535413, 940664464, 911538679, 943462332, 990306562, 793048101, 883432874, 203865682, 812420040, 306138712, 15553831, 37449603, 702612837, 841902965, 553941631, 52531429, 87602367, 800571677, 156944672, 340656687, 918148385, 756066090, 232089177, 797358606, 11236890, 848237973, 346750968, 670799950, 366501871, 73330622, 463396541, 52145811, 379061612, 356916657, 610924441, 566352168, 725712905, 525071540, 206556595, 298352204, 44052589, 265974787, 275331917, 695797905, 236938505, 970002970, 134849121, 669972523, 434179031, 347090745, 618225984, 282486983, 394331970, 395437230, 891404949, 239975401, 381980526, 698192817, 57060436, 912971099, 1104871, 688263907, 769198324, 739575598, 532631463, 277667949, 488947190, 810198691, 112549138, 179305582, 607773893, 579013424, 631392285, 308428974, 389438297, 591531061, 180081068, 520212290, 92817517, 984792271, 12197746, 133241620, 695914295, 815965749, 112737698, 860534153, 788005873, 868408275, 54048520, 324533105, 629384182, 11898576, 392656807, 304838938, 413892374, 605813142, 312625830, 879283147, 192493615, 636534893, 463717629, 645643993, 830319623, 907497711, 823984702, 86873495, 920329741, 491053552, 423509659, 557383937, 778140718, 991559738, 646331066, 642645796, 886317432, 601782135, 363069773, 633534588, 680004349, 5506516, 352975882, 248267268, 834087074, 5575808, 427613276, 221977159, 957545479, 440878596, 954122460, 566713065, 38054480, 807511120, 782891013, 118534672, 990036140, 756153848, 924333944, 831527806, 61823242, 506972240, 613113528, 952310587, 556625734, 683356635, 696578339, 308493989, 228232333, 254453124, 84225461, 516290794, 618679557, 63691765, 82224094, 189056772, 651814557, 310067314, 411763322, 313912349, 771320262, 585579114, 835544241, 566485107, 199009778, 811706051, 49495028, 770981261, 937563672, 126680902, 307838732, 735950129, 147051542, 783045385, 425661477, 809741678, 332129043, 916678174, 916297229, 41482767, 773422713, 509037150, 162414232, 859539910, 382275890, 768158897, 851882864, 572779052, 707660612, 759552950, 859138674, 744382295, 598537750, 463579059, 928534585, 927950208, 27660847, 393383234, 969474592, 847359283, 88414963, 78209647, 309163297, 209855851, 475442276, 918685620, 16036468, 908610682, 793486974, 220496231, 876286281, 827700253, 338635890, 597355864, 478125313, 566259565, 115026999, 152905599, 303008714, 684090569, 743078996, 365804458, 737716842, 581805374, 626757933, 987982263, 827845161, 670029535, 498692509, 370595370, 487234609, 269344736, 43501911, 354128066, 995753311, 925192574, 473304733, 475029048, 917514567, 545020447, 182588338, 316642599, 540035951, 710961242, 742498418, 200711020, 482141596, 528466631, 164571917, 364449942, 638092211, 928867457, 678394005, 117255268, 543985032, 21121661, 644159109, 690671240, 514290553, 751875578, 775725131, 968972849, 410235833, 735133656, 715008253, 364031466, 207104415, 151283030, 23444391, 216083821, 73608470, 467491573, 420886604, 50701033, 831624965, 901547242, 306395377, 920532100, 512930979, 584219632, 262671541, 816160110, 500472581, 359917036, 85225092, 37667080, 874009806, 333750265, 474803208, 939582417, 490443030, 645950492, 283156254, 333587925, 256037181, 926248492, 468107860, 989910206, 434995802, 766214484, 370383737, 785508012, 409728347, 608335758, 510392824, 920361764, 969876396, 636914114, 95252305, 100191734, 36173505, 27805966, 834499176, 660561955, 312717301, 601214298, 48976578, 472893250, 854365496, 687013775, 773108756, 524092691, 983822957, 563185784, 733135463, 169468789, 214071123, 152554683, 467244838, 22667157, 361612776, 242948948, 252024594, 264733615, 278320296, 966951663, 731039245, 197132228, 205967878, 396124526, 572104711, 194711647, 770982717, 649778360, 478972332, 485678989, 126031989, 747808032, 102685464, 897423638, 654318373, 713286421, 42805601, 261475668, 940193704, 608088613, 274559573, 880583996, 877527645, 30940592, 893336236, 369814210, 683937337, 769666312, 955283060, 63840162, 462408574, 843128182, 161046360, 698061185, 980141729, 528676729, 919743605, 891850484, 644700472, 976350749, 96713437, 278410059, 725487639, 872786715, 541185537, 272754980, 677276423, 818277073, 630709988, 552477150, 587882654, 59769224, 176952810, 84975297, 410928016, 892029106, 737940824, 67810171, 195073261, 195157966, 699229991, 936830384, 180098283, 692177846, 985614429, 132708799, 47802949, 849189905, 396463653, 724340207, 603195581, 882855528, 256420034, 907230641, 114614650, 865378449, 54887380, 380315265, 295423966, 594675328, 942021674, 719211937, 282157453, 929531439, 263721499, 226350975, 130912517, 361019368, 536655775, 634210679, 956542764, 395242952, 381757080, 896676803, 803874536, 39789419, 534445837, 649318209, 934512768, 866084407, 141057543, 89557182, 204571306, 792224623, 110354180, 837562932, 781192414, 759660174, 172855296, 138540970, 143289602, 940477484, 867244995, 319323162, 16774888, 59612102, 807984357, 373157449, 983604742, 942405255, 370545574, 265235934, 274414353, 645346254, 856009522, 394825362, 66481913, 222543930, 786061006, 542800434, 346806501, 189450334, 826953360, 347159917, 518762996, 836791944, 998740850, 712499532, 315831163, 757727979, 723627023, 387537087, 405816256, 577825543, 69360811, 61929574, 620518498, 786880442, 843535719, 215843910, 897220267, 511761079, 956738162, 912015716, 122989910, 628348925, 293239366, 202666848, 347050567, 686699606, 384236781, 345352557, 819954936, 216552392, 531106131, 249911840, 555205344, 366954680, 819926029, 622726900, 185122681, 441409960, 971546689, 758698717, 209327028, 277196068, 651920682, 852911804, 851535604, 253828078, 784488503, 813762030, 774332440, 367309249, 152868437, 75282501, 164225170, 672823555, 1230038, 267859240, 158682053, 252715353, 911371111, 922560963, 450537084, 319324917, 703164389, 487141598, 827642598, 614296453, 193382142, 740785872, 168669451, 215317641, 553899248, 442078367, 843495411, 991934280, 500692530, 582647689, 932908371, 603150283, 475490546, 863569191, 139042763, 631362140, 773855432, 9150349, 129297103, 566197830, 153907030, 932373923, 906364255, 888814144, 426871596, 68518236, 237186696, 851825653, 156323578, 691105797, 822812352, 564102818, 216579488, 834504136, 800457605, 498649279, 563118693, 325257047, 27007110, 446704535, 519911842, 101115933, 481204166, 343590592, 543798202, 459546572, 236313195, 98056285, 548627976, 53277049, 718833042, 394320418, 765983229, 616782805, 793202281, 972154404, 313073578, 602423570, 539068897, 525574887, 870524230, 571749019, 172333482, 231328568, 145138809, 177214316, 322689601, 291869508, 676869190, 358501339, 96898989, 157525579, 981044687, 561850784, 963306212, 241399009, 764667128, 389517295, 967327681, 783301124, 180762432, 159116051, 53140745, 873628167, 704300289, 907604399, 403961346, 389835228, 498822546, 40954945, 200880142, 33479471, 294838480, 710211435, 100342333, 602333477, 455056551, 781881911, 308254759, 508430053, 5811619, 645688052, 723960366, 189715197, 318809790, 778488277, 670258603, 31951275, 927419314, 533290433, 321403497, 523285899, 52449590, 966096408, 177759055, 865018282, 81622668, 53304684, 779766787, 708840784, 953969764, 876506150, 516318203, 650674743, 700953952, 88103930, 957683302, 419298108, 830577308, 975580626, 827142080, 320387144, 526836597, 29675036, 638043948, 876121399, 537475455, 838568518, 75527340, 526262929, 896382073, 323725624, 466350507, 780919481, 430973228, 663369859, 553516764, 530961408, 277393522, 385454956, 222951035, 897813165, 665881060, 714712819, 950662016, 988133715, 175817449, 67193695, 376682613, 43277371, 657764447, 903101183, 343298758, 962624195, 415635200, 351011256, 723966447, 873769944, 388429630, 13211224, 459591479, 44341284, 126689855, 53775432, 540743190, 618571597, 119466451, 541598416, 99115196, 56357955, 413990134, 47114026, 937861216, 309558882, 577017282, 889544058, 741327943, 687227320, 650325684, 680958775, 759428777, 332205975, 78157991, 666818073, 582620429, 356943533, 411443297, 432838758, 816701474, 820291493, 847076025, 340500498, 91072411, 835370134, 512167732, 93246501, 358154151, 463171905, 401954336, 950885536, 718594046, 590903248, 277825683, 892830411, 390166379, 246405220, 433094069, 148845067, 232825918, 735310337, 432196201, 690821613, 388400107, 304900480, 442482405, 89895880, 977623098, 42632262, 306259543, 156945412, 721975735, 36244449, 626415551, 489809637, 241735711, 967709573, 178526721, 678570076, 73046032, 741033635, 792940510, 859190055, 841603056, 101452188, 383715960, 319715800, 86082595, 729369540, 868398080, 275258298, 20806708, 788471862, 988070579, 904501400, 338957186, 228987994, 863180072, 309462935, 681344246, 52548574, 620255515, 610051515, 229579350, 949618550, 815092042, 15544693, 990598730, 745206334, 768638460, 341951176, 246999699, 697590418, 731754856, 897410496, 783602124, 993543742, 843978476, 77242337, 151664580, 767954544, 265176803, 135080949, 57778153, 15989824, 289866931, 763187548, 218544593, 368851616, 490372082, 556536560, 659385009, 644648856, 624934009, 852920475, 178585496, 93269012, 792279158, 626340418, 551593359, 828850068, 222906042, 90202078, 356581464, 823941997, 340442656, 962443689, 306595059, 938400478, 492371426, 646455238, 377297038, 594095724, 109499173, 824210190, 43538918, 963847913, 435756906, 317075841, 431717018, 545368972, 289110758, 121606890, 230597099, 615996798, 634782985, 296357464, 247311045, 150859256, 556781281, 501871284, 800756672, 225363557, 896298536, 916710734, 810603388, 225785540, 217332984, 206577415, 688636890, 197320106, 936177002, 489409898, 624688510, 15647597, 88954419, 412171864, 50788299, 781072320, 340716411, 42999228, 190020789, 100972794, 432571848, 679114552, 603703787, 302924522, 332843169, 644145079, 560866840, 972035087, 858543619, 936276974, 929923683, 725480141, 473141804, 972352876, 154679073, 281581319, 686767561, 177096450, 221606952, 482362079, 462058513, 145474512, 857278040, 187410810, 764104147, 399195264, 659198386, 937506584, 917357643, 323730959, 300884011, 866312733, 59161809, 588259172, 274069139, 255213666, 582434311, 794716601, 376594002, 700150452, 812245969, 472467418, 238748949, 289571551, 797979105, 90676458, 922872360, 458354469, 153918366, 466901206, 185573410, 720109808, 853347799, 600897957, 120599403, 767167948, 473012115, 758560286, 310257459, 161937632, 127245634, 784637798, 8668123, 629596857, 346645041, 769340481, 161101631, 489576036, 853522805, 718338868, 451929074, 260756934, 518247939, 525530986, 248032360, 659303699, 328496966, 291402796, 854196927, 448073951, 724520338, 837970643, 626030502, 475092838, 531889594, 717769313, 313796626, 64032398, 612360496, 313452720, 336533847, 279346835, 472096512, 209723547, 165099060, 288796504, 963924989, 900188869, 602907121, 13936698, 403960352, 317593859, 316591141, 806742973, 745423713, 802654433, 993442541, 546609605, 193435676, 602596315, 635340616, 67957998, 480932293, 818607463, 412768728, 223145945, 144487039, 387282628, 833313625, 97252252, 707135113, 780621754, 30927757, 855372443, 965059448, 415807168, 755798169, 838249432, 199066597, 545386750, 905468221, 844429459, 147588490, 432917297, 401383514, 729378535, 610922360, 246774922, 540541383, 203352131, 78353121, 767430862, 902524987, 477063845, 838043718, 906869364, 152354697, 493099362, 127743859, 544889534, 693951180, 524113252, 16175367, 302078648, 948431688, 740840648, 920866508, 915245961, 98793287, 606943341, 712694501, 427104626, 663725009, 460043604, 805269167, 804683304, 87338534, 539643585, 440225615, 484916745, 337761147, 621600906, 547105259, 523074099, 844047046, 314783860, 289374155, 778508458, 538209616, 388854342, 342280142, 123186818, 759325582, 160844114, 124321021, 775467813, 808122631, 273677482, 518086767, 990466808, 496801143, 754694823, 974740016, 885653911, 578336499, 654342763, 644257834, 655163207, 401621333, 176021798, 287926135, 43204708, 831423388, 321357599, 143685336, 134204116, 236698490, 668535058, 369570131, 436149821, 329419385, 540431909, 243946530, 810433653, 143248083, 709237482, 128323008, 275571363, 835131299, 431633455, 3137859, 434789999, 526274777, 305083313, 179386838, 806655088, 389673255, 149659963, 155835821, 107441218, 882276540, 54952432, 846956364, 501596261, 213629046, 838734053, 931539474, 81321963, 742889824, 401903147, 354305799, 604073447, 291506371, 232742838, 183490737, 591568244, 975373824, 344935720, 649512796, 915607973, 199640661, 637585586, 256401026, 868336324, 696870181, 313834403, 194576840, 372391102, 56547008, 559313365, 73217677, 568692122, 2737266, 399757504, 426127294, 613535367, 518268268, 851191055, 856352722, 928902439, 132977089, 734024529, 185110733, 115191042, 391229883, 900796327, 848922482, 360840917, 444861647, 152573478, 657920186, 480909196, 419994257, 985967052, 493396870, 543167596, 404058236, 610003986, 689301469, 956190190, 3642622, 322806197, 632511215, 984662546, 739950445, 108944566, 398244127, 65370022, 455851812, 696124046, 276407443, 540438809, 870275117, 321188772, 954332780, 993193066, 654465384, 507366353, 264459737, 763856328, 978147303, 637992358, 71127048, 845497107, 78207973, 63046799, 925882285, 4678668, 249983234, 766543285, 967521086, 324393253, 458584729, 139191645, 229830864, 699518186, 108051555, 503749896, 171193052, 570336694, 848971477, 590789341, 164655376, 274264200, 411327140, 748563986, 859007589, 737746812, 293856511, 521586832, 108237995, 485790990, 485020165, 788008671, 494001489, 323595632, 973256087, 768385986, 596104068, 317427254, 910436217, 424723997, 830212616, 480918870, 970926712, 160933902, 642444783, 110918310, 797368988, 44893382, 207597971, 835605505, 608645587, 945869577, 894817945, 153569903, 228862572, 602188290, 750639212, 547110227, 268501203, 506082177, 477409251, 763523760, 240418075, 956728620, 59558283, 943872697, 480843629, 592139544, 284917784, 523911111, 702010549, 336778047, 221783608, 72742646, 166667857, 325639320, 995350168, 894633936, 349629171, 257170309, 476727980, 12387856, 946814259, 531660713, 499214500, 136626082, 616992215, 295496237, 726388216, 555249273, 64982015, 346466020, 415262015, 594299419, 178516571, 623585953, 113982326, 840622394, 833536949, 272136155, 813797179, 499936856, 760042666, 307721873, 60810073, 894985141, 106370919, 54447832, 882944523, 194613383, 820374978, 484794694, 375195469, 737743548, 737001698, 133788582, 65202996, 586717815, 717281852, 437187949, 142421237, 64276113, 646156054, 898318102, 200292977, 154615367, 723728563, 265624535, 420202858, 278049583, 272752942, 796041896, 441014103, 297732232, 539720736, 300425584, 53309009, 711490559, 640327592, 244413655, 375655484, 476701381, 567254973, 408757339, 810428487, 265126937, 124486577, 901884481, 232814226, 638133154, 942757132, 910805816, 293361528, 616013719, 139945919, 562186919, 266744048, 653630512, 56851206, 60951514, 676913292, 565865689, 724660163, 141868000, 149146142, 277840828, 508009037, 808531970, 511304672, 103609052, 709515171, 513528138, 83045695, 816914904, 686111342, 448476860, 874642883, 125084247, 464592964, 563092022, 638999481, 1604651, 505929596, 462580833, 167097441, 69912596, 4997298, 727560348, 882106167, 630735045, 697050309, 868899940, 895984747, 737782465, 73821733, 499757138, 290822470, 831392938, 374740277, 454200764, 379740965, 197165590, 792792255, 630486528, 121254878, 890423016, 47664943, 919643171, 725812658, 705042144, 199915761, 330011065, 118291944, 8464491, 184061835, 466566699, 772108671, 254161855, 986055577, 59417387, 829626253, 263991003, 556163962, 572103513, 935121868, 822714470, 268921629, 49947668, 288497195, 736012263, 477669661, 318533621, 276740459, 340309788, 89582039, 685085237, 908705857, 661282170, 387404597, 221894240, 517162683, 837768779, 873538714, 126555284, 186046551, 392409127, 265289305, 133280389, 395806360, 239296596, 670579742, 690567807, 938409901, 785568990, 916114038, 965536741, 94218658, 966299964, 569994716, 34062965, 724460403, 169953664, 874333688, 720515895, 968194896, 568886977, 572680516, 778675080, 427658786, 698323601, 296533918, 678327308, 18183408, 622714840, 708675916, 124724639, 26013723, 107835341, 747583869, 409143626, 342494344, 106143205, 420382749, 549748743, 391107215, 756388941, 405364195, 28835429, 520347455, 106225697, 717580298, 608969066, 685648214, 379733475, 72809735, 560468763, 725779892, 784558702, 44678500, 197107108, 53372176, 289385492, 798377626, 524649099, 219438706, 385443054, 182601337, 602299447, 732655657, 306359239, 520585293, 374743128, 492169519, 320460134, 39853754, 724861117, 850435464, 349803196, 659613652, 323741517, 466301597, 237336818, 238439606, 129736117, 576854922, 429519199, 282410270, 908529486, 804482055, 38545303, 398854293, 156775062, 899356288, 974540524, 773860217, 822920637, 311416041, 53670501, 661247680, 970181506, 363470261, 555970489, 573115249, 625958653, 143439888, 113401391, 924234445, 905450553, 110149582, 809524990, 672343712, 139933652, 822394195, 624160781, 726770014, 859362478, 663147276, 656523406, 791360051, 799897721, 547201576, 468161953, 607085981, 895046444, 302270533, 659943919, 17209080, 21556307, 108615266, 925960068, 565325203, 578323636, 776226738, 955186673, 814749619, 374372813, 678872330, 869185848, 454756168, 196569508, 133625416, 490911059, 65783430, 140148074, 129159592, 349375243, 267752960, 55340532, 889073931, 87034383, 45651745, 625289635, 466955304, 763985607, 986665356, 673485980, 689424590, 781149041, 893601578, 749049857, 34906576, 537310413, 863136218, 351623714, 518388743, 642915804, 187604080, 655306030, 34401087, 712128353, 456199668, 517255924, 259178711, 393213645, 856824142, 675189376, 389336567, 429243499, 28538754, 834526290, 219988220, 565621489, 41093376, 166833757, 884704084, 91668076, 874839814, 210621794, 394398552, 202510634, 362685312, 426866008, 983253801, 709882798, 478768536, 72429126, 904484467, 218297951, 932147194, 926371645, 698649517, 516491235, 433641877, 575610104, 980407389, 772104505, 275291366, 454114999, 596343783, 993337401, 257481715, 279568177, 555193064, 496446775, 965795534, 472159185, 805411717, 251218896, 266289913, 898153140, 51098938, 181774214, 663612009, 803357422, 61386084, 473527014, 441499200, 204268996, 807133992, 937491280, 677280175, 406642783, 688249301, 145041661, 390205972, 323217351, 5683955, 952910262, 19173734, 419701617, 211611007, 29157460, 121445978, 165232685, 303846859, 209737183, 399600244, 566869275, 141780625, 971621914, 637419163, 257021914, 553655128, 762148360, 853509109, 760239517, 502525775, 74553975, 256858597, 228098535, 365679000, 785057392, 166256966, 359233879, 616195367, 289326620, 317711453, 321996748, 862175827, 625383592, 545569629, 15265270, 501101900, 351606395, 646164806, 516831147, 717488829, 416391755, 815129147, 129336572, 821815164, 905857882, 707609803, 867827931, 313383788, 654420384, 924716155, 398344460, 678281353, 158968085, 796802696, 615361994, 944047102, 869485166, 60206883, 863060697, 932757645, 867565160, 525604193, 85111453, 448938334, 845492308, 77029377, 892082827, 397902651, 972251226, 264402825, 608288274, 98398775, 107999466, 789249385, 309571143, 900860098, 899141196, 960237839, 785652432, 329298408, 133678965, 650559859, 501847323, 87417761, 687794779, 629578563, 593081041, 470041647, 90149650, 695279105, 167220859, 196772578, 526868627, 942180086, 134184662, 534771371, 584609548, 331671810, 155531698, 526757271, 124528000, 770101855, 895034066, 802836077, 653594644, 842656023, 216933808, 473399149, 711137627, 274345806, 418116899, 524128545, 646151240, 592560789, 455104440, 988051643, 98874901, 131914701, 858819964, 145799073, 20390206, 475800034, 330006626, 134777736, 472523623, 600914378, 640324194, 858512908, 849822636, 707098436, 853173090, 121172499, 444046809, 475972539, 118177489, 471994107, 365784627, 265775086, 378303572, 901537796, 347699826, 381250215, 365866987, 616876152, 777310963, 934674119, 357834862, 592381117, 694068432, 425026471, 401498119, 844587669, 760516052, 925100821, 862693117, 658160578, 818470484, 125285488, 935180932, 856763958, 764429253, 485569780, 158735656, 298914389, 658033282, 732580675, 639580599, 285619929, 392673711, 90322037, 352500613, 521927483, 539738653, 849632447, 195912977, 54173428, 52434977, 675905064, 621519044, 128459147, 611280970, 407582628, 281563564, 309103660, 674923491, 738661350, 98763403, 644486043, 111177412, 535748213, 178456688, 334729141, 580832295, 361696526, 775897311, 282826454, 607639408, 233962153, 934543400, 447928999, 833543139, 867339160, 562509032, 497006601, 32559108, 762732268, 74440003, 939857152, 690786118, 731993577, 921985686, 881964558, 122048537, 406030698, 948014362, 112268705, 190526896, 262200095, 294800186, 726157902, 319249110, 810780000, 765409479, 426239531, 552359108, 700599379, 343819520, 190208432, 434567719, 328256646, 180594051, 563977496, 264969663, 428831206, 339390138, 185258299, 865190447, 748465807, 175758169, 4208124, 571232647, 540071776, 705349153, 515490195, 291425848, 759811872, 805520169, 493435797, 625494037, 190043939, 642781455, 391454352, 321498528, 596404515, 505591801, 414719889, 996857182, 385373404, 851526354, 381383298, 902650377, 839468396, 817831703, 19225801, 342189827, 467571944, 678393881, 8089954, 378499423, 66931307, 289408823, 565824511, 856922752, 564502260, 434733800, 187974016, 589759936, 535576049, 156053778, 650825977, 56133681, 634341837, 329290433, 966696303, 866176738, 453048789, 339707191, 541734643, 870812987, 638765446, 320944527, 615917643, 340078461, 478570720, 395200919, 430015327, 453772585, 695343644, 534056246, 30139103, 998419430, 233963916, 408256648, 368361664, 146943775, 679491927, 78629167, 393494578, 130752009, 516661090, 829902129, 394428886, 594114454, 379200056, 227996907, 866619560, 27906234, 222949521, 968061653, 445357554, 705094656, 377553605, 177948902, 697148936, 156206524, 958107913, 416341105, 974689348, 342798747, 418462084, 453948740, 862345476, 894818500, 971480855, 417621650, 506634457, 726944297, 388877853, 810162300, 336214657, 493018432, 308344303, 16061014, 689059342, 462125030, 585951832, 711686869, 909325161, 285580765, 564180682, 159381871, 397019529, 125033427, 178588897, 143270112, 906366991, 337934824, 302704339, 56503692, 682998706, 232504277, 595875997, 228253611, 71060060, 882333542, 357020849, 411673236, 585237163, 871575538, 534862278, 453716660, 106127189, 923955529, 336429848, 295307992, 790730845, 389505660, 930702314, 836584897, 676593267, 465328217, 333436537, 269357935, 39406558, 290770561, 510526453, 469736187, 919767265, 245808562, 567398551, 476840645, 944035018, 626284867, 270196613, 834665413, 775684170, 695061807, 13229780, 399799742, 314608800, 975002722, 212359963, 537516905, 371332671, 50733022, 955211182, 321919922, 567289030, 795931381, 681171524, 110660639, 577085483, 689323073, 887177188, 392919460, 195347049, 75730065, 575308590, 763450446, 708991810, 10719628, 841486588, 920223454, 723076547, 780696049, 747206469, 235399312, 403455139, 975567058, 998634929, 285668112, 528508814, 189506557, 756663447, 474524705, 308567062, 726522021, 725020614, 262258687, 747496013, 313209184, 279765632, 870981776, 491522212, 965961267, 443138652, 247215150, 103039056, 291753265, 526969030, 284771233, 542025393, 715861943, 686531003, 229106415, 17306320, 775333142, 303173853, 408347462, 617151027, 658889792, 642987575, 99759956, 453639086, 208935770, 834317565, 251328452, 62088662, 214311744, 252693214, 796753593, 603158273, 795910626, 381866713, 875049915, 299855583, 26796427, 995261413, 977948826, 85347387, 50693364, 723314368, 169705513, 78518769, 338004922, 461357498, 525434776, 301919126, 213309618, 669393286, 860443166, 714973382, 303089605, 210978771, 661869884, 793447178, 753865983, 610363200, 296599351, 365509569, 944793031, 902485884, 208889832, 957564080, 561273570, 549266265, 787643738, 193130431, 699632743, 581522860, 841095037, 511305421, 188239334, 485458510, 829780300, 206038873, 94972523, 733620101, 931989605, 456947955, 22141720, 449206925, 189778031, 445131687, 494639334, 194733433, 617890442, 646842365, 912301828, 594173740, 117873108, 788251814, 910025252, 356230451, 105127475, 541846892, 277955727, 204421231, 666653071, 58086921, 945701463, 982302812, 300391042, 131182463, 118322914, 427747055, 201233722, 813626283, 160125414, 283682284, 655219220, 576413111, 46915687, 871708661, 239185973, 265808326, 191419749, 246805811, 913219225, 592862050, 447413946, 293599766, 702752882, 891428800, 722934609, 587872700, 886958603, 599203313, 663383933, 813062860, 105743090, 794669998, 517796660, 896201981, 191392234, 675817205, 311710795, 442360593, 193719911, 820254291, 203226041, 572094859, 288894377, 902784100, 884322249, 178325640, 54440734, 793723255, 845076001, 398349722, 512832904, 141390358, 305682791, 840087697, 830512874, 894191021, 201764948, 841049275, 679505429, 424893202, 981061035, 830628823, 838888126, 18331805, 842405636, 330998004, 469729597, 240777782, 184195169, 938499026, 592202073, 887556894, 787408350, 516696606, 321641263, 996341223, 417034105, 673173549, 63561355, 225321493, 89143979, 757598142, 411181452, 142904570, 260155785, 512411045, 49799876, 1476666, 994866743, 148629251, 328341302, 222308253, 263875691, 182464477, 908466702, 636232771, 775862025, 274823873, 806845316, 969383372, 261457522, 156449515, 757475300, 184319976, 944841740, 137305048, 610271382, 46681366, 170802223, 111678616, 370272733, 8368336, 950163906, 547420321, 636624270, 126758613, 892760073, 635170383, 530963466, 199814110, 379281415, 78765178, 324001909, 505043921, 93425771, 510834232, 143800369, 987117703, 431046710, 850913935, 174378698, 323625660, 399319005, 826410753, 154545983, 225052182, 510148024, 404186794, 186700667, 152542711, 23699799, 709910676, 863669688, 462735961, 614203064, 713291034, 830499772, 339149652, 284875556, 308491292, 466545837, 427536830, 798395949, 531302424, 283654336, 121242552, 41643204, 381164628, 204449576, 575821928, 192301967, 608711724, 934836920, 868121146, 129875372, 577522712, 622646982, 58813729, 296635190, 81035425, 254151878, 993587324, 815270728, 77271901, 380157581, 971522559, 484845202, 922284634, 430399751, 798038903, 972003681, 177194969, 643146642, 187059252, 114589680, 518614219, 369259915, 334631095, 531965641, 566659870, 631608090, 743006179, 600544954, 659718275, 769859011, 846880655, 943264530, 515796567, 803104440, 635810146, 159060670, 738678137, 669396473, 197650020, 796899563, 232759414, 488057121, 375357953, 448580537, 752253228, 169513716, 463296522, 352140403, 947011520, 531872899, 959037290, 817345344, 698599503, 721632651, 114081525, 380636937, 65150967, 869082887, 320845218, 29229435, 604028497, 942531185, 975120933, 720989189, 635825996, 707061016, 185200321, 871777234, 563548610, 811952901, 902205133, 417496129, 603487083, 581055799, 189584018, 745850042, 945541349, 893340135, 54182444, 600742066, 333559225, 378958195, 669867962, 874924805, 280227448, 128028953, 986536245, 763394039, 110198855, 427734517, 953107770, 487948989, 550540502, 92862681, 867689131, 251559940, 293048614, 282026084, 360689892, 999286919, 268081865, 287227810, 940148688, 471316912, 181131666, 232666076, 188074824, 454813949, 970740601, 303568794, 467462736, 477031739, 669338548, 966128379, 722811079, 800735784, 6538219, 535275281, 402462427, 247591480, 613588854, 633484693, 201695730, 882920648, 507940102, 875495940, 371507512, 778395105, 836305085, 832167626, 278220477, 692752982, 672886908, 793103394, 202020296, 303006845, 695459619, 483170546, 698673619, 286559263, 893595737, 813777204, 185673457, 933172984, 831655135, 138735033, 448040911, 652666699, 204613170, 5492382, 842922450, 275303003, 544173006, 64418536, 823712873, 500448354, 357209295, 519593904, 375555631, 781686821, 383629858, 710261736, 231158140, 126593220, 568764558, 202364344, 401961048, 905025154, 345591710, 864611387, 130667493, 377945377, 576073452, 502479732, 377757179, 696281921, 817982671, 214163622, 402107446, 761178971, 65994307, 391295278, 666931448, 739356003, 876544992, 511660415, 208828199, 501141668, 343099021, 457946110, 536436818, 685991290, 279625077, 193024461, 227668906, 437952891, 195563297, 354340281, 418472814, 297949839, 709322637, 368239410, 425072301, 747063408, 183438024, 319528034, 305071488, 685874390, 708287361, 333521756, 445411404, 887886868, 757471672, 208439709, 932148833, 990471272, 892360416, 859201856, 69096872, 586640706, 813823847, 556803089, 784218790, 79487678, 352852440, 968842245, 374117984, 285778428, 932715932, 857821119, 845106740, 317941791, 554804816, 374108892, 741475428, 936875819, 61308171, 688188261, 717026960, 330656478, 443454213, 179896350, 522970004, 143124704, 951157748, 500210502, 785977592, 391969017, 340419897, 488926711, 28724308, 558085901, 704932967, 471959853, 56028894, 378345877, 788281975, 811415298, 345291851, 689877618, 560897514, 735353325, 409139438, 370495269, 302898187, 232204811, 437774930, 396148470, 942244096, 10647697, 25565753, 110478724, 86894995, 896214138, 364667500, 400200358, 334172208, 275169438, 509281400, 372962949, 948180805, 834206081, 675390071, 842728472, 518615266, 129823567, 378163107, 704119106, 635934147, 303923299, 892038575, 585825437, 691281593, 639961528, 376179961, 702997435, 835113437, 781887710, 641584406, 632698971, 970676432, 659265827, 549084803, 575666392, 797225740, 12932379, 385842655, 267274603, 880883789, 230338137, 513227115, 324570632, 22218947, 421791298, 974677136, 681905162, 785149434, 551442438, 874460584, 264337014, 723144518, 146299440, 808965511, 754268964, 448555105, 701737974, 166410046, 528856151, 663401605, 103935013, 816478583, 161000152, 222553981, 320993873, 220806676, 453660539, 411447279, 111705795, 204233889, 929810853, 586796753, 352550337, 713594001, 225298581, 10139490, 400498627, 964247425, 425953274, 350077507, 872039229, 597153840, 711354406, 615753269, 671822292, 619482799, 247695605, 954579656, 580806371, 336050476, 674162247, 227988867, 694189603, 969692937, 65699568, 2252853, 495787372, 709000758, 321929569, 562248196, 138031867, 766357780, 299107657, 254513001, 753560646, 387810166, 58647563, 454403831, 583454184, 993957826, 484351279, 729012276, 824480785, 958859210, 296058351, 800997881, 181514233, 422449096, 764720857, 217575730, 956153070, 28881340, 488547202, 124643294, 692153839, 566659565, 306145080, 153887057, 687307998, 164594580, 477999568, 718325532, 625710386, 966928188, 970847329, 762307727, 154611275, 587221436, 949724266, 8034642, 976435744, 736207794, 559103851, 546569843, 512957462, 35125294, 683331008, 17054060, 253160086, 344412146, 162972071, 459310226, 649008887, 109671513, 365167071, 744452107, 635996250, 70698565, 245870117, 425237399, 166235817, 334753954, 650399335, 113402260, 330999614, 409994455, 60161567, 788407317, 300551843, 578253985, 297147924, 33916060, 862186143, 286160439, 362603943, 725249791, 160841872, 147207102, 795761685, 342826869, 221102975, 774477722, 738484014, 290102242, 852279608, 619709733, 781661300, 891450446, 100538881, 362554822, 707244154, 392108875, 779511426, 533960079, 911735270, 829472093, 434745693, 282441396, 803863267, 914367555, 916918019, 810891723, 697523243, 589774057, 463010228, 662701636, 618880387, 807690646, 284327105, 525676001, 228130393, 417768587, 413963185, 69745103, 9059251, 906708345, 965048229, 323571389, 98520415, 449088234, 82754549, 791308737, 518523435, 849599974, 670938269, 396818745, 186942677, 119848070, 309464255, 941796416, 334888484, 683442591, 815876166, 445722969, 84114950, 250346948, 613319340, 668298709, 432076958, 570116792, 25832953, 132508509, 957726849, 114179669, 124834221, 323348368, 745663429, 106048038, 948781195, 721580145, 34475102, 274065723, 468036484, 143572659, 528469374, 737262227, 77265938, 381585550, 330425918, 348099133, 507673072, 973273373, 217828574, 507938442, 232078079, 537604600, 877839647, 131963796, 84042627, 98155903, 20311724, 310740088, 520008671, 745446088, 147611840, 89691120, 273029009, 57190843, 665067058, 222778708, 41475109, 694574024, 73031119, 160364593, 585912843, 980504727, 829703109, 237193717, 176006782, 238457798, 322125968, 703119909, 923650724, 343607399, 281995439, 143551721, 301404160, 262202505, 15384442, 559127777, 515148167, 165714895, 541567525, 544839256, 800815474, 109559114, 981516955, 961329928, 626823592, 963282452, 102571986, 11314559, 110111081, 405311188, 944276432, 602571993, 23910740, 375404658, 550708696, 693093481, 500011428, 887210255, 710224558, 251281437, 528965060, 175082312, 606132787, 164565941, 847761205, 366002822, 490735822, 857324918, 905990016, 477652478, 898554901, 245539280, 30848145, 514302620, 561164019, 468295002, 988303116, 151073026, 670437955, 259571115, 329028545, 544060074, 547391933, 630992424, 531946311, 255161267, 180644911, 370909004, 29341887, 573803485, 519010539, 295540832, 280646936, 149821373, 914046176, 260356395, 699390923, 908612199, 533480458, 801416213, 534920723, 617760277, 994137969, 611916252, 837743202, 278608785, 965301743, 48904701, 338077251, 770049560, 543068055, 49669207, 368302486, 397721554, 548434632, 82338129, 600214852, 991835163, 135182554, 101192785, 14014828, 624483249, 310765441, 474337863, 978883766, 253639946, 864335034, 235069084, 368636636, 716798195, 39156798, 320793416, 611251447, 316032650, 7130102, 300856115, 46279372, 883034483, 594781542, 935440520, 423686957, 905339038, 886657553, 684633069, 118880604, 595284124, 910040201, 423307681, 526685487, 866888987, 57074295, 530580289, 611026943, 258495475, 580423720, 291288393, 588628242, 909317452, 995215212, 395902669, 563569951, 26761099, 280659543, 931522481, 901962795, 955005642, 815723720, 143641825, 678577890, 359251907, 302704454, 391561699, 60681641, 693082780, 586287515, 220726170, 899304232, 289553322, 663983918, 27685868, 653419298, 782582101, 744272766, 19635059, 377698221, 667046423, 207530994, 256406816, 584845772, 426721923, 870423527, 731269565, 142385478, 65779618, 632432141, 126628645, 733430348, 421080328, 162777713, 224423935, 854118413, 851006775, 580775646, 669734884, 280980953, 409783892, 638422313, 441786740, 784039573, 58069166, 125676850, 580457137, 645114191, 795467221, 706852691, 100786592, 341259730, 43268139, 911492125, 130792895, 365593254, 107622249, 988603461, 970872759, 164452233, 887862579, 250239331, 948923265, 266427561, 874894003, 510444782, 358493179, 253436816, 713755474, 823490420, 546650972, 721319761, 433923983, 897577249, 410786046, 825512080, 844459763, 645374554, 755087901, 243172940, 770288934, 98165890, 374072082, 194541093, 347940045, 586952710, 419038556, 643003824, 193800277, 72466930, 508552018, 603220286, 157535158, 552293035, 172169610, 691861294, 905921022, 452886303, 905810889, 621421988, 702643356, 810703539, 11133350, 577342151, 556176130, 980341297, 386172827, 111246281, 262392072, 868403856, 782482396, 3467838, 920572010, 153361944, 304645340, 620641745, 609398557, 231006511, 904045233, 963838675, 197657485, 684115649, 184811774, 296241028, 880501664, 56017053, 178859235, 270370935, 688613243, 227135026, 153644466, 417885829, 746950843, 223498963, 32114526, 329267263, 414031028, 346332871, 266862266, 170220008, 264519711, 636873935, 11515019, 108727573, 252802724, 546550234, 463674314, 172665547, 168190286, 862225356, 195668778, 205187942, 877030858, 884769379, 209553628, 99565018, 90648192, 914297919, 72528992, 515907805, 829025189, 708635890, 214902408, 425019109, 954467259, 673371408, 548447487, 944011904, 282006531, 566780799, 450814771, 976818080, 913010549, 856084411, 629375842, 31682771, 475815743, 930296473, 687960129, 939434943, 620140297, 875309581, 982120626, 255543126, 988282284, 942543795, 267024169, 855292577, 710484688, 244211173, 914168318, 870354168, 572805983, 769091269, 936289798, 867755346, 242963298, 48015979, 314032374, 288712527, 8772496, 715575711, 646945697, 30337776, 775495373, 592609705, 775698866, 376549734, 234003878, 893499151, 372322537, 918870272, 316026637, 872631706, 107099967, 913431542, 464802120, 810236239, 671018349, 683081682, 310692753, 913751810, 82225631, 643156396, 471665254, 663491845, 801683807, 932536522, 463542768, 396591441, 809153293, 20834393, 981260314, 70529453, 194576461, 957892011, 584885485, 949666977, 905318178, 543514681, 650897979, 323448479, 808239907, 848570589, 238288063, 892757728, 973034666, 604996624, 97120201, 583514810, 754274399, 828955604, 864783221, 129123079, 590726133, 130888609, 246388007, 650934054, 60062697, 501338146, 515140471, 999015735, 256367050, 274804401, 83201365, 898147489, 66030660, 74284137, 738562070, 789553750, 674455462, 831251208, 891282104, 79025032, 378306933, 213540441, 740533254, 911765594, 492368782, 929111631, 510499613, 143527902, 570464019, 717212691, 573046495, 98850349, 987492413, 992445564, 342614270, 183126416, 222607152, 754811096, 480955889, 697471808, 912246212, 11358519, 511830582, 906240906, 653997785, 969498193, 708784275, 1651451, 858556920, 238833359, 17259473, 514346741, 506251626, 2188553, 784470056, 217146060, 960204138, 707383855, 185008040, 248967091, 603177148, 961277005, 905390584, 331413289, 953946404, 634977100, 165863932, 718554492, 639118345, 722426255, 726537626, 768650038, 889341836, 877401726, 741061050, 363143289, 845604572, 371774784, 312511153, 441309941, 931195920, 121433030, 801965913, 405314733, 443130317, 34261251, 223852945, 342408105, 257931072, 433094524, 647982677, 476440951, 55057208, 430976525, 882451366, 501340811, 822104872, 482675131, 883027000, 439511755, 690209557, 107127964, 724545290, 897038130, 358176403, 767526676, 71747807, 784770199, 194243762, 788388144, 353696787, 222080016, 378448368, 5800506, 480395884, 124326046, 566945637, 105744091, 651543864, 300464773, 264328543, 875362243, 325858136, 662884394, 543469348, 486330112, 201790397, 714701905, 17471795, 794207728, 323040827, 496210341, 117029536, 757318886, 66023671, 994320826, 390084569, 7609049, 989047178, 929454549, 632175330, 464054107, 154766676, 997499519, 161555070, 210260232, 223206508, 506745820, 537082467, 86431633, 163532141, 550188887, 389529194, 418073444, 630639760, 968549206, 164894105, 170033973, 585163740, 752475975, 789594420, 287979157, 618525499, 674932629, 102066681, 870649733, 782538308, 181637234, 179576016, 210623619, 32649935, 905909399, 448946110, 475516184, 566229156, 129047283, 865955249, 928124079, 690833298, 424898245, 608124378, 290484402, 182607414, 811018738, 963292778, 461740964, 7859230, 146411337, 509321006, 352905519, 675014422, 301328564, 313777976, 307395658, 907005914, 170194239, 638766391, 226463383, 321971013, 201187180, 347210344, 37527796, 764485871, 707663127, 45401516, 867441868, 64400055, 71530246, 992402597, 446152613, 630355260, 549925579, 154484106, 99500796, 450977719, 403552810, 79047693, 560954874, 205857379, 915657874, 119180669, 993561038, 249742926, 992339459, 846621219, 633973561, 734062714, 548436015, 523816558, 992554138, 302131497, 411142900, 545958423, 979659030, 726054181, 610896919, 673441834, 291364559, 195131810, 253350418, 521248625, 597792024, 123152044, 631474936, 891891481, 945434758, 300129615, 223450977, 983093477, 570077055, 72564173, 295593051, 144280366, 460578104, 137977698, 726482693, 619092339, 343304619, 937869951, 395018238, 242895827, 565703067, 323975133, 731964669, 923642172, 667479858, 970650812, 130042204, 924262522, 786690576, 120440360, 193577670, 285263553, 4110201, 112074810, 47469185, 148231887, 110028303, 983578908, 57161853, 192310071, 67030193, 916291040, 791888272, 686739157, 464083780, 431751653, 858121232, 833430606, 368010856, 432034387, 486928273, 9979131, 913370176, 326324566, 579577877, 545519390, 255038888, 74827808, 161829602, 9314951, 820240265, 362567122, 706277025, 937758995, 190923454, 189937641, 79016800, 968720596, 328961880, 774661832, 262620680, 896929039, 289382886, 29688040, 569172341, 785242981, 606307739, 542468607, 791221312, 807291726, 684787619, 998746266, 656983062, 67353081, 629120156, 864036779, 180212650, 520683136, 356887515, 128357978, 280099242, 988755379, 209258393, 744789886, 660257090, 138293490, 168675196, 284800975, 658341401, 96135158, 752175902, 306751521, 58915572, 997143060, 217076801, 2448239, 527266123, 112640114, 323298518, 471813938, 684238656, 298540332, 982009572, 289216980, 928353871, 258408222, 56266870, 202595244, 649227559, 431120072, 679014346, 807752559, 29346483, 77036141, 306830909, 385040443, 920357732, 566291188, 724345393, 167313070, 611467938, 341473405, 468094232, 624830102, 388534505, 599298976, 651276536, 505472148, 460880069, 199204319, 633328214, 75828092, 881074136, 265864206, 157865931, 679949084, 359335862, 562450371, 728788467, 831273476, 584131340, 629221935, 997873195, 612344691, 979379215, 246499147, 233528746, 236312359, 181181983, 870302610, 671574941, 570423193, 87665262, 795002378, 299318633, 724839544, 383776712, 129183868, 352486786, 46122183, 507485985, 516756764, 7000548, 721729303, 637777772, 198274343, 448303037, 697623750, 617520877, 956114185, 274821449, 638170887, 513329047, 800154160, 321489129, 547366342, 66094603, 603171134, 118976572, 501543320, 519239336, 519949476, 389759501, 680565506, 71491258, 515913005, 939744682, 678363667, 85765388, 872603263, 31137346, 635438863, 763708663, 550609368, 906456289, 839592500, 380843569, 983730127, 455972118, 151699957, 926195631, 108246383, 259797120, 643359549, 790562064, 271961235, 286329088, 747495754, 962290167, 380611818, 744986190, 364431841, 293535259, 107988351, 786314364, 624660049, 314933286, 451229666, 543249365, 989891680, 87749619, 195637914, 342524124, 556908375, 159502901, 764868190, 675217792, 372683282, 82545083, 452198659, 176637684, 447083821, 740133772, 54648884, 822680364, 580592465, 95353830, 112705613, 609523732, 982907184, 646503295, 712687191, 99634123, 309250597, 270422358, 179783274, 134779492, 845346053, 520972613, 419184307, 734390729, 658716005, 455183997, 460891306, 446785684, 123769045, 913561815, 103667072, 621858071, 676389082, 434796738, 139835346, 436839893, 948100919, 308322100, 307508217, 12089416, 220213884, 578842381, 991226707, 54267310, 594467748, 444606975, 376215344, 151254182, 643461801, 971841674, 101941488, 892622833, 377990290, 914369003, 431535676, 996506628, 312058785, 72040559, 909693826, 514117621, 713350649, 498275398, 832697034, 530631655, 800437465, 778690036, 594974040, 889990747, 285292390, 590749338, 119253369, 613280936, 686408118, 540132267, 872670446, 177331931, 901620662, 955814356, 410020975, 176518866, 135758423, 214732260, 670228121, 700256742, 329866914, 207106187, 423624747, 313418751, 154182215, 500482590, 771542710, 919125971, 422635417, 196709384, 285995452, 853481320, 401796190, 51134210, 518625425, 148026359, 523389801, 976293584, 740871752, 694349536, 624325494, 616566279, 837831006, 623098467, 851204649, 768618529, 178185240, 615836825, 873636069, 253375452, 72237237, 396388042, 670106545, 317432856, 655955177, 69250414, 832271956, 302325823, 903116080, 273987363, 895895505, 715034731, 281436620, 785337144, 787673271, 58656481, 835933541, 607683662, 587809516, 477688055, 488679437, 348251650, 981417290, 353833420, 163886192, 478924054, 427516455, 921364245, 387092158, 205306404, 658692135, 944357178, 518112250, 390198569, 880154961, 571564362, 950167718, 266212462, 746360397, 668373321, 422571536, 83905542, 594698478, 630376332, 579041199, 471744519, 959995220, 692195421, 635738904, 650086145, 322160655, 497147022, 986532275, 241795070, 613893198, 827441333, 531461479, 374941697, 798124926, 259386377, 153429168, 10054967, 92710600, 297419678, 189027474, 107227119, 847316279, 661576281, 411383787, 462362931, 500860338, 531886033, 705333395, 428784554, 821464242, 918977553, 239745022, 170523464, 796457479, 342187179, 341832502, 881349889, 944946524, 803669796, 24932496, 779266289, 907809710, 318214068, 552609484, 632049945, 158123505, 48556835, 863713679, 677325563, 134902862, 768168940, 730850613, 411743549, 900187034, 925212202, 898853195, 223778832, 543058841, 242000589, 612684545, 517253273, 204429273, 581796069, 160832072, 239426176, 256150276, 15262852, 937369429, 205756336, 280143624, 844798499, 497131058, 385029232, 671990228, 621169070, 500970852, 909193838, 577578510, 546392818, 79609537, 976530226, 156714390, 287036682, 755810543, 948017972, 155329425, 578274653, 503079257, 598465749, 390086486, 120035795, 605005039, 668686690, 600173688, 821840132, 776094284, 276180434, 465619111, 35126223, 208601329, 618012443, 295149803, 646845649, 930280544, 421182331, 46795126, 869832119, 706342502, 583450787, 115894908, 380145207, 570229621, 443901726, 791089220, 970809137, 621788254, 737158990, 112243429, 351504035, 932390003, 658560783, 822060186, 538006496, 259789626, 44605240, 603020580, 233199772, 369059649, 141541140, 5851112, 624932162, 26503526, 915353171, 395811366, 964362226, 762594398, 497752223, 453892137, 25111977, 571215081, 944886052, 413836522, 879526665, 940322681, 813265247, 374045376, 897850211, 732249503, 769240522, 749592175, 532633692, 753914219, 209892310, 91260031, 655684428, 693140848, 651393476, 1566209, 793624413, 375586535, 890588624, 814740341, 648387963, 615265215, 726158582, 705880264, 948504501, 618468393, 901981709, 266308187, 456364492, 79979372, 221506126, 522772635, 345359365, 571808812, 137778919, 933032842, 451369205, 567148022, 132429850, 305200351, 45119773, 789262650, 811887706, 59988970, 139538378, 518305929, 371909120, 358560701, 368624982, 729607691, 554334200, 65794198, 361089994, 771669160, 330994527, 871957916, 264647721, 724965853, 852248656, 358223517, 944170157, 825990779, 994429328, 420343764, 685105148, 830875786, 336138763, 479204731, 837190993, 153665899, 311452782, 152626736, 919786348, 779018510, 628825334, 986571788, 130166333, 712596195, 747325708, 490522724, 47928992, 623624465, 598211896, 528686234, 231500958, 923120545, 784050979, 830234585, 822144694, 293818966, 865639204, 183254222, 499555269, 790030041, 454615151, 224902305, 498222488, 459156249, 845377085, 535326588, 254234362, 458546732, 707615011, 349950399, 114393151, 528840627, 450330609, 586083518, 586401832, 857206728, 645667725, 606261191, 138229959, 977043812, 560195089, 289741584, 522622044, 569641675, 508919607, 140247980, 465979808, 873508970, 61275921, 192658072, 467740007, 122457980, 266775964, 117983595, 481498709, 714164833, 438822695, 682182001, 764713071, 948842975, 492352963, 748794115, 477037755, 770158787, 431684757, 399056643, 175250387, 653977438, 982251198, 791589256, 597077020, 515466827, 660727360, 744265123, 699762977, 468273214, 717920427, 977811637, 17295544, 485412584, 955653541, 946288627, 638371201, 807382042, 507366852, 712687619, 655921843, 322648008, 834997890, 213187876, 821916460, 881863521, 807020525, 907598365, 337455788, 244875674, 772592640, 600394377, 136355183, 746818967, 450692105, 329243090, 603584826, 655176979, 923907009, 779750167, 233348619, 550077087, 888742577, 710570413, 971871168, 552825474, 811433605, 465182535, 430711008, 269897340, 836298026, 245339883, 44603836, 391534620, 715021260, 264774255, 882207133, 314768854, 22791152, 761870346, 744100789, 220324234, 558226479, 909001131, 641011842, 760646560, 595023385, 187315107, 495406312, 363218327, 570798546, 427887821, 607667856, 594461663, 520707277, 807702400, 334608448, 225124083, 591805076, 904497165, 362256570, 656694368, 549144289, 808446998, 579740458, 53062711, 624038512, 547645870, 775629739, 779293590, 370165279, 785685877, 305892908, 195899848, 207496376, 928611629, 290294943, 507919815, 446687017, 732526913, 101492293, 856296892, 432867262, 576186436, 402446762, 369456373, 599649023, 486939074, 425943566, 332647745, 355500314, 757181475, 443834820, 489908245, 221431986, 798507379, 542523852, 392530986, 345168491, 404116557, 855957849, 216520279, 166768853, 713251959, 968367823, 334970417, 181138906, 143364883, 556797898, 261774212, 285900954, 923177495, 652467067, 843522407, 673338531, 954812393, 144515076, 433168616, 100457434, 197777844, 272038290, 840095777, 320682734, 525003494, 898496675, 270007159, 274388867, 461952967, 361650675, 255532177, 134256907, 554429003, 229809589, 880060062, 249872599, 379827621, 548854579, 438419757, 221227228, 394136675, 45725447, 561403176, 958391041, 393232485, 263068688, 265438366, 424599304, 503391028, 635144936, 586177659, 997659941, 650958807, 497990351, 81434297, 925412142, 545062321, 907924849, 154430608, 780745714, 900796565, 519963662, 997685621, 750988545, 42752783, 158351606, 491278582, 811862031, 231660106, 525501159, 633106361, 966317411, 766855088, 703418146, 817797809, 450042273, 932832885, 180641814, 967396929, 190842170, 648047583, 935754989, 336839009, 390924247, 812349437, 394502469, 4590354, 810932907, 299162387, 833092198, 639278702, 822368606, 488403292, 815117844, 454860739, 280604167, 889416813, 781021574, 366096585, 144968181, 127690879, 247742159, 367541851, 780146041, 358295533, 975573347, 516024447, 738184110, 569745923, 840048428, 788601269, 608645739, 786460501, 488022081, 454273689, 492767455, 275381778, 105532937, 874272580, 286153393, 813885079, 784816436, 263690324, 41871146, 252096507, 184848591, 965632287, 252707786, 508358707, 422991248, 373940210, 996029294, 554793251, 340414391, 538487413, 959854820, 133565312, 228041104, 257374956, 16611568, 758518261, 107570607, 867802392, 484042372, 786445501, 766224458, 848739548, 738236982, 824069126, 254494117, 702139252, 395505084, 714422446, 426312492, 312590708, 646254434, 598576926, 489718779, 775084909, 905021385, 28072072, 950517870, 169600266, 997752584, 920390699, 77686045, 651301282, 421435641, 236030525, 896276504, 71431628, 678964018, 484468426, 383066993, 856156209, 611387296, 42864166, 25060204, 85825254, 144402381, 593481901, 935370886, 684463218, 91279349, 605761403, 336422521, 670376253, 377678962, 193791049, 148614979, 417488555, 983251342, 453578822, 730156029, 470133701, 648939336, 479147392, 184133228, 970292507, 669815791, 221470917, 762312104, 828607037, 657412451, 365116514, 353725436, 604147431, 128366214, 165993139, 439746679, 804147206, 834059720, 128419088, 201144969, 424448588, 491966688, 868701518, 915175243, 350671214, 349819095, 473236039, 749619912, 476193073, 755962005, 837969655, 982355965, 812889892, 342763524, 88253398, 27260136, 93131742, 866658826, 427025948, 139565966, 345495661, 397928768, 293399866, 378266924, 528729131, 562356627, 615920294, 231960720, 314550797, 741983866, 827745351, 437485977, 463465279, 903844759, 477581973, 187739015, 631291254, 42508503, 550991362, 47451744, 750720221, 767783585, 563045360, 878826552, 245797050, 92834700, 552250981, 440548081, 772266562, 3255797, 199146188, 876518239, 185820781, 758852515, 924687034, 420843941, 50454684, 745647987, 699785760, 324579243, 195989932, 298093235, 168344581, 103704176, 772343011, 355193995, 604294703, 230076914, 235800982, 965478310, 781189498, 750493550, 761080425, 131097300, 220717253, 668489519, 411336001, 226669116, 864508661, 227851847, 762290279, 495333557, 638229174, 919351296, 670196457, 33657753, 432650198, 646093454, 537383092, 980022312, 598753929, 734787605, 917155859, 219021243, 980022055, 269067064, 776583118, 149094130, 514138983, 850426542, 307520978, 482757247, 268392174, 607338163, 152555836, 507284326, 285929982, 888131650, 510374479, 674431977, 369987320, 451450027, 763924936, 538138601, 690805388, 849594916, 633589027, 937038176, 491455092, 951357550, 238448445, 540333417, 432015532, 69670641, 803556959, 38362808, 603438852, 788071033, 176860302, 187776501, 787350628, 857400488, 694771492, 788923335, 72943742, 348171704, 6937219, 311275897, 725969901, 864749724, 264886453, 270363310, 934876034, 235148726, 386831867, 483268833, 157130996, 142984839, 457063065, 139184428, 302109889, 367171922, 837761235, 549274047, 224418777, 870267632, 208193490, 488285169, 852447224, 507301052, 45225153, 46224249, 924256500, 994390340, 760161781, 76440546, 153425317, 520081158, 317710456, 919349362, 339854178, 905448642, 459956182, 8973104, 100192450, 620445893, 803087594, 754654562, 360026240, 824563880, 131603969, 540891273, 735193709, 994343257, 227720404, 455788400, 393233979, 23111734, 713284323, 478560671, 8298919, 669166660, 911684983, 849874186, 862180172, 311496400, 817157046, 920424691, 540167601, 198968000, 117019164, 518721132, 366496262, 820836798, 631968815, 342936842, 152775910, 680670466, 972402561, 992846393, 485951075, 194100817, 699579258, 730283090, 302263875, 497279864, 819643733, 645523528, 357054383, 332616724, 709937519, 114910197, 830346743, 863100637, 330511121, 451222411, 796152112, 296632974, 431312315, 802269911, 384048380, 852927576, 961942307, 833151806, 225410087, 86895951, 764776818, 34010383, 219198233, 166920800, 372269005, 833376338, 623873901, 854709870, 371199030, 490419406, 436984047, 435252748, 371782348, 728644992, 719645325, 759496656, 547266030, 242712487, 473725186, 166582119, 306558253, 351736703, 482972289, 745605422, 763649274, 848291010, 134521238, 822918813, 70559577, 169118030, 633838309, 287432670, 801147883, 891175225, 509084210, 73769140, 550755342, 806145346, 658957964, 299641265, 62025854, 564456547, 968813879, 432804960, 308698793, 373925099, 320614906, 500718496, 136853297, 738459928, 542130425, 728820527, 444764726, 948100284, 424857548, 832004192, 350652329, 495702710, 709518584, 232724247, 902059401, 521078473, 421778039, 368752854, 859413162, 305228196, 569612959, 119478576, 440939924, 336556669, 261837223, 454458371, 520640162, 439056500, 112851905, 998294024, 78011366, 453448739, 302871366, 339704222, 108838781, 103878981, 64776946, 148823679, 385969505, 520961502, 182901508, 468065929, 351016973, 314484154, 154941739, 455109765, 760701208, 719822996, 816587809, 43960368, 244146286, 625605355, 101149226, 124858314, 82047885, 26907490, 528419479, 18201173, 430420596, 956358821, 389090998, 789721765, 680171442, 984264344, 209885149, 640332817, 760804843, 584776255, 180409136, 138423134, 325709960, 879311377, 47679525, 894576264, 413399275, 959832635, 863640295, 13820699, 300580016, 659025744, 494867159, 933143916, 822920348, 178813374, 759299732, 789471099, 820190118, 496599515, 528007880, 785784734, 8914162, 43878697, 649902576, 917140509, 461088305, 439717817, 810124900, 116815509, 372137600, 834308431, 612644741, 399525031, 599777196, 129949141, 952217753, 171808098, 158692196, 201484294, 856515821, 898348168, 677072565, 518213247, 593385160, 48129692, 587503115, 108953611, 95818029, 390480872, 381008174, 843611590, 787741708, 146334505, 984488266, 86158400, 700151169, 333340323, 396976975, 308747539, 732319739, 111398730, 113517701, 96868199, 192794002, 882186080, 772600199, 138860098, 833178375, 991318904, 679272344, 645755335, 315277129, 470874546, 340903216, 665276379, 541453974, 936499501, 68492445, 159830857, 555515333, 90352805, 942468123, 649287938, 146679523, 168552478, 549284820, 40581880, 315799543, 636176607, 785469953, 248459588, 991426005, 45281277, 364817769, 782737803, 417670028, 200183740, 960650569, 425180911, 902347648, 918643232, 98165938, 665365073, 830330706, 779459856, 620234398, 621265505, 350332919, 360514942, 393320082, 178205209, 363756069, 681800704, 860836831, 412464790, 907254805, 683436192, 386708006, 81966382, 831895588, 438322346, 771335941, 851195299, 262903444, 362016520, 577700910, 524529851, 395853554, 29581453, 514235576, 916323139, 166069873, 552278366, 104787462, 162558930, 859281432, 558312887, 273555689, 926454675, 35523670, 503009445, 384405345, 313391919, 300935107, 775803617, 199983144, 677375829, 255235157, 437308268, 38992385, 691498147, 393760961, 459290330, 570045263, 512280920, 173091726, 915870991, 107987562, 360034250, 511964762, 520548405, 358290560, 507755374, 787378854, 626460760, 344984838, 323262078, 147694093, 415185826, 955567800, 534524188, 298180166, 619674268, 542017515, 498565332, 912458161, 427589188, 218463444, 772691156, 909025008, 250866499, 980261899, 726950920, 957754135, 998664042, 24038709, 177262083, 904723467, 686634388, 710786294, 945460309, 400081307, 142203517, 120528766, 264439996, 715952108, 236130930, 81412663, 360711334, 616911473, 662901255, 674504723, 173898834, 290178335, 199708283, 66948803, 219407456, 799514441, 790629518, 852009907, 267446458, 201735813, 246692568, 88578940, 521331956, 333072496, 808671993, 775564396, 157066897, 909177288, 126066613, 630024195, 119830083, 143172716, 224276862, 374845680, 993832865, 196328254, 778680365, 100146975, 634478234, 470117916, 923060320, 875662124, 329693426, 396949326, 734130223, 875530075, 270905123, 507985957, 747726108, 258393733, 960250955, 650320393, 900663748, 646155245, 447349909, 338573777, 365496379, 499911870, 655192304, 946619342, 860709321, 888012973, 596901158, 161487796, 155253723, 379866869, 361850807, 470434032, 198435307, 390451624, 742197696, 404274257, 787795677, 217164200, 987882578, 558085540, 813496129, 960070920, 79661137, 992813029, 69551410, 821447401, 255386188, 830832473, 140200704, 933279552, 989816054, 794192466, 929962900, 303037916, 825539962, 388030892, 968769404, 293369937, 50697572, 260294443, 363093927, 79610849, 395494978, 620029582, 10447421, 840208677, 61534920, 688940886, 597338548, 962242671, 829058615, 958565296, 170622305, 237673359, 719011736, 205901300, 458203576, 709980094, 452238074, 982797047, 979381043, 255585552, 941869452, 404232752, 658131405, 72855095, 101559157, 28500704, 491876639, 267160413, 140384823, 550593393, 256089395, 868551562, 681505822, 483686217, 98199660, 677816132, 32656871, 773200316, 558203967, 706463633, 607418347, 767817049, 738161395, 81670994, 885981387, 321859977, 735150361, 811633825, 752686176, 425341719, 335446305, 362976768, 14219295, 242572822, 829850439, 986768223, 739801907, 786741123, 53905209, 492954185, 899575040, 354738683, 400346132, 773910718, 787349171, 987756595, 703241585, 466753437, 810102731, 313891511, 127768627, 963055664, 167532012, 139380704, 210757637, 80275374, 725562526, 158612911, 768673548, 399239777, 296046228, 18733021, 259443899, 951401692, 304578130, 361593173, 968880228, 499478253, 905944420, 641956050, 634436054, 872858913, 756246700, 636891894, 143677994, 507846322, 65983489, 866552315, 911721324, 199578617, 138010139, 895872459, 558060259, 836837413, 382085674, 86137130, 48469849, 175712288, 939144087, 844615659, 527693142, 631501139, 264272292, 103792046, 135559902, 463648554, 1754102, 884054363, 593355846, 864901717, 715092347, 337104853, 231826461, 293325247, 8241697, 717840439, 742059191, 63575367, 869761246, 226848070, 832080329, 377080516, 5642107, 170699949, 650518782, 454357150, 200931146, 213628795, 455060744, 629510578, 510463964, 64326392, 572478373, 526014792, 318866774, 834954897, 582861853, 137587638, 220143913, 514485305, 546627850, 315178293, 779178878, 970060564, 834426878, 170969055, 265144765, 49469628, 621147583, 121717237, 164032844, 716776424, 847118718, 286106460, 476259318, 166963335, 845987665, 905718101, 505234515, 436801819, 991078762, 829358308, 388702699, 358874564, 84569656, 119198226, 751879906, 59425510, 53755153, 96483122, 128874317, 785923040, 197760964, 961812638, 754247836, 423564667, 808920603, 552389783, 171942634, 249773904, 473893618, 566004619, 942065045, 345329399, 289859020, 792461122, 100924548, 396539988, 243521503, 291604159, 475206596, 620423071, 780660364, 699372649, 490130952, 191872937, 893361484, 307439183, 483700259, 433380111, 39630991, 327046384, 134668244, 777618401, 127853473, 731602649, 147770991, 880346335, 867055264, 141750688, 94168423, 159398680, 592365508, 258046208, 758684531, 472764697, 230273351, 46609993, 275451259, 638261768, 986116432, 21861487, 438816689, 327259985, 133899256, 848039307, 186421485, 196239338, 751634526, 510698909, 37997141, 136870089, 87051574, 648901360, 151109939, 702782002, 507566740, 295509734, 354496162, 500413155, 762073381, 350949112, 638445805, 902416976, 61864546, 877818778, 612752543, 221352455, 181868205, 707856918, 571531280, 231020087, 306994965, 953914262, 807668272, 740783552, 358400930, 618031279, 964094800, 200899302, 700871962, 627552883, 349930543, 720427034, 324554368, 737330987, 297177904, 767931131, 601237654, 667706333, 510549261, 901250, 984603966, 266067613, 499232717, 459576860, 228652703, 467892087, 377486701, 446681606, 217619426, 961747451, 77623422, 284499960, 863849290, 148298889, 5766965, 53047027, 582129751, 132435067, 67862006, 732465581, 481681919, 154798153, 836489341, 422258299, 677772155, 144079050, 905270656, 153620695, 381513406, 174006804, 642431609, 645292212, 368577674, 512384516, 592924743, 824877668, 12187023, 76098338, 167973054, 4175822, 765694364, 401845221, 623748023, 743269201, 624096452, 802219001, 980797320, 687389908, 1641175, 257560397, 224005916, 5757118, 421050715, 933578683, 550951237, 383393590, 967667083, 691506177, 76074166, 67972827, 224293580, 601375087, 820123677, 354274896, 130420624, 630332979, 260228986, 92988385, 572937219, 542733311, 490100049, 787891310, 21709148, 344331186, 253880059, 329020633, 625679960, 41394059, 137005743, 199797943, 879681033, 926281704, 365239271, 665174094, 413204795, 308451438, 410401654, 855179034, 116432526, 677993097, 413656998, 669406381, 764908501, 762876935, 125969056, 820408234, 511156870, 120717446, 915674521, 950522694, 168364222, 718341641, 89009193, 254773655, 861948472, 842554878, 407836941, 695684950, 225954080, 990153269, 231036689, 907142842, 880675161, 600738779, 30737639, 64753456, 296121201, 387198333, 364384185, 963338121, 804121042, 465278358, 102120752, 196698776, 755377151, 872418735, 795181554, 29866952, 366687047, 560521084, 681577557, 171320119, 218696537, 299448767, 970597238, 961091948, 348579406, 73560350, 939944829, 962888709, 685500516, 240579040, 672799886, 985694464, 839818862, 512790724, 628299, 806149903, 209611415, 104450300, 161704848, 878899090, 567190449, 984321512, 599268611, 36879775, 508565300, 859736727, 926936074, 498014353, 622438077, 375335333, 53578623, 759585154, 755649259, 449173842, 340263663, 36452316, 535071986, 948580699, 27720542, 619965027, 103937113, 710342102, 346355046, 847927408, 312878937, 461969785, 186734596, 402022606, 144666165, 725038312, 261714105, 179967034, 349956713, 228079307, 767557268, 259058593, 556821401, 726966268, 114097716, 538198586, 539185104, 615348821, 717792358, 623589418, 870679150, 633168651, 877468075, 983908722, 941758621, 218799449, 925929385, 67538920, 578159526, 445969297, 108095976, 474125159, 288017579, 660452066, 35612659, 618080948, 916892000, 601316618, 757720727, 269949934, 68199084, 186037875, 895851576, 982013657, 367298973, 664255233, 651208853, 480910196, 428079022, 69357082, 508419878, 403856734, 275690710, 905575404, 700553418, 554856034, 668454989, 30356231, 86803912, 607840019, 815542939, 622216808, 247119823, 424743733, 681632127, 210910930, 721250991, 902313831, 327607253, 988704284, 404030313, 775774728, 312521766, 127537644, 22812932, 440905526, 772569430, 28732923, 119704297, 240063637, 794937227, 854101791, 853823464, 221833202, 37609028, 461274490, 519538841, 708223574, 318122068, 743248294, 185908539, 117759162, 479098346, 725733145, 960128788, 428545806, 627195637, 602246812, 469444844, 196195829, 876901340, 166910037, 652651280, 784760124, 200664105, 893510456, 46219243, 837640357, 864815689, 609788395, 89677844, 142763953, 898949995, 670882754, 682869166, 381539847, 864954356, 650173316, 423920660, 843663169, 831116037, 746969347, 957639114, 577377652, 152366954, 587236938, 819936316, 434949335, 462683938, 35327949, 456496230, 322261150, 989484498, 153591426, 816615737, 324624638, 490646020, 930775454, 320633695, 27672208, 994828255, 324699394, 264102322, 128762602, 951577337, 741879785, 107538821, 192079047, 136368, 44518687, 372120248, 879797815, 15584384, 933528438, 466698897, 214882618, 862540561, 908963326, 94673093, 273026276, 544194584, 748189688, 658497914, 161565874, 927269561, 622245138, 640379728, 967134458, 77812262, 698434408, 307845102, 242320976, 867276153, 128008212, 976440348, 649432958, 294675452, 95885645, 450962849, 1513466, 477524414, 579289190, 58601743, 296610706, 443191431, 102939821, 133760022, 16174890, 404299584, 65438711, 283963186, 14055203, 261443111, 830279042, 636555881, 522841483, 88213601, 897646669, 246858781, 794830555, 509285475, 876290521, 890146949, 336816781, 192072742, 680339100, 455947903, 970547620, 714586287, 221935623, 445788640, 418663288, 169655716, 86305772, 377732984, 443719075, 513386363, 100178245, 316690852, 812831228, 424395511, 713812552, 344597802, 418083371, 511948109, 345762631, 14045632, 442734880, 535471851, 24471037, 865148236, 126351841, 199289363, 314555202, 37738322, 105601064, 973169994, 816071539, 425725865, 219263197, 23554247, 801170499, 520672802, 766614977, 733565832, 137089103, 922897795, 102788601, 14760328, 37514022, 870270148, 949667867, 75663806, 603997080, 825010353, 372583433, 289857345, 929459501, 248591661, 539723384, 987892953, 152400915, 966164648, 75548906, 97729278, 357740532, 94945706, 603470307, 538252491, 583487202, 869329446, 775440966, 716036780, 904197169, 805506979, 411230000, 927249874, 274623055, 709669351, 864970397, 80025650, 310512220, 691041334, 636028807, 452346486, 378966118, 864501115, 585600286, 866911327, 710195334, 290406890, 149718084, 252629020, 486165459, 978465374, 772182845, 741335579, 510452860, 413260391, 846207585, 431304571, 982355791, 356526620, 614536026, 874974282, 535928387, 50945352, 662803302, 698044481, 935586519, 736529289, 54847429, 403375537, 178622302, 16700161, 465501131, 602055289, 802137624, 418783723, 820512994, 763468433, 695380423, 284195836, 988177919, 712089514, 120711347, 20203365, 885958823, 324996709, 796729946, 941178094, 641919839, 416454155, 64852608, 687779729, 319164378, 692269278, 294318511, 24265579, 745306824, 310643251, 413268661, 380440536, 441088151, 998029552, 810777697, 220051058, 453239696, 939276594, 913826228, 866401893, 562178425, 726502014, 190790, 182907004, 226544348, 709417742, 315196883, 996758676, 604040966, 77003213, 323873716, 160923281, 688797098, 625974536, 533128992, 286817373, 806447309, 674883756, 473859315, 680156199, 955553605, 563873175, 715289405, 741930801, 419956180, 435139337, 692750488, 151598665, 314976398, 939996163, 565804938, 719743437, 114848735, 551376072, 37788132, 454472060, 292807419, 135190474, 310250368, 181425178, 640990782, 235290540, 315687328, 994403922, 892816795, 360959184, 314515598, 769906139, 658529107, 997344471, 559037456, 187042385, 33441802, 320405371, 378274234, 701689249, 370730844, 458597005, 31647897, 499673416, 305944895, 342889882, 745299825, 54989551, 252324367, 942134927, 865366748, 880147043, 85472432, 213757478, 559088340, 524813245, 697106555, 235808096, 974865539, 629432578, 262470819, 312597995, 145352878, 270253473, 281601943, 773005029, 359051247, 251214385, 811379355, 481267910, 38896873, 881894689, 196215345, 877153584, 244968508, 498225681, 430382083, 200896771, 772278013, 829791905, 806094000, 148255458, 171283794, 170088444, 352692220, 789933496, 430866825, 600657910, 259762747, 99723763, 849822203, 743742943, 778703812, 201040914, 903397582, 8634915, 876048101, 221783715, 886375285, 121913480, 455296511, 632727766, 350087416, 738097003, 988750606, 915520177, 147606819, 865063990, 438244332, 258839073, 116491429, 915828762, 413663958, 62294999, 196005612, 644802175, 873659572, 568091089, 176123254, 401278698, 522040568, 723763651, 391116815, 58279614, 503731559, 879106417, 323445773, 998978336, 296742413, 168673808, 291977504, 580766503, 466546115, 399127808, 821213187, 975374074, 633212003, 636011935, 379306772, 880316891, 465452763, 573863068, 511391672, 215349216, 943510852, 652792043, 280359799, 765269848, 112097141, 881657054, 721613107, 950798335, 529210349, 170008187, 345750928, 230231424, 458069181, 554089564, 972157932, 733726735, 724477718, 520860235, 807599967, 609247742, 634809555, 92091249, 298178693, 324468711, 787923786, 903732639, 581373770, 655898510, 936168841, 943285154, 731576905, 370072686, 333131550, 790038413, 576800840, 983118315, 9545579, 101161544, 38709964, 791425228, 999552009, 112104949, 661274944, 744195930, 31201295, 537498003, 641445481, 260299856, 156044053, 225211225, 827117935, 785075044, 962100503, 465173904, 716164077, 410081794, 130559159, 726316186, 985526352, 715997034, 807614462, 199123787, 388222968, 679057825, 570646718, 195487218, 439127122, 659151257, 842068991, 876046760, 154028716, 52940731, 435712807, 991523237, 263739758, 534655279, 987991414, 282466413, 707320567, 813992508, 526312862, 440673102, 980076409, 943432306, 267964628, 85253830, 501710756, 238878772, 445965670, 587454850, 741894036, 750578503, 464208721, 742311075, 509377580, 618787213, 152273174, 651255116, 955605931, 110029630, 853453626, 138090005, 845105451, 824042533, 377439621, 600745380, 190983269, 338226774, 297898359, 646792454, 917310354, 255721909, 399363664, 758712792, 706264999, 279020095, 240768125, 146096485, 319349662, 317032616, 736397875, 203107293, 315753416, 200023280, 274188817, 677768309, 926008356, 111411097, 913574053, 908883082, 794622060, 112404619, 968884502, 474221650, 996598046, 222779187, 832049730, 655642900, 509837417, 104382145, 454615217, 875894137, 841699415, 292781145, 621726784, 361151304, 481130359, 948064567, 776559324, 511620232, 878356810, 869559988, 183052101, 122407479, 337147442, 570951813, 660611510, 177232061, 949773392, 576999176, 667406324, 616766488, 405907553, 891549446, 528129091, 372564206, 843853193, 743875402, 699154631, 3728906, 192427827, 127577299, 623330746, 629202123, 285113953, 412911188, 559056730, 865739546, 487159641, 850075372, 74225778, 514575643, 239848102, 36167014, 844193628, 992212681, 405446563, 896720178, 984885374, 833244098, 23002433, 848668870, 581795576, 450649001, 952819865, 656286429, 192077096, 16714468, 573919626, 137775460, 153498686, 843873498, 396282421, 673617197, 825015589, 15158435, 230016774, 613748661, 83907757, 12101194, 799779380, 592994721, 133509040, 659440368, 474927252, 166104181, 179245989, 912614947, 466417455, 698129598, 227555592, 406745222, 357861664, 460196880, 560358206, 328963702, 658630354, 185115662, 12588910, 115249929, 154907273, 39238338, 798456322, 636076189, 249091271, 504352516, 642112893, 261690667, 321584151, 532999921, 769430187, 320885915, 551223059, 780871092, 958142560, 579066385, 722188340, 783157363, 75348747, 483485658, 276995261, 377162859, 889799808, 433515996, 456180893, 34054517, 683175067, 709847001, 396703449, 476419604, 727972314, 313480325, 966154525, 324899959, 196321782, 883481755, 706985211, 839631356, 845799034, 874378702, 904024642, 547273148, 878608836, 24592016, 86400766, 287648511, 485566089, 376508053, 520576788, 683396146, 383115663, 748919806, 850556146, 591096817, 229376747, 263440731, 694607840, 604976986, 496149818, 151672659, 895348190, 156157254, 500830004, 313656027, 954052944, 313378385, 245116555, 128878539, 498194156, 977995791, 9179908, 258949498, 494211597, 632001267, 162160023, 26849764, 137915720, 717759610, 57834200, 193095056, 384748678, 212914555, 187628942, 459389821, 66906177, 870647564, 520576219, 699846957, 172228385, 460378520, 410430349, 652933927, 977982210, 433974164, 143282888, 459014005, 482080737, 639138800, 76348095, 201907954, 618568443, 859782429, 922448719, 941642798, 525016770, 829450362, 738365383, 780381484, 15566440, 622975522, 131477002, 363473338, 907831944, 923966421, 175526301, 665636052, 642154260, 536437243, 653275870, 102892721, 668764292, 625923375, 17235872, 990514918, 700031043, 507825924, 166335487, 389974967, 754921276, 15410219, 384878083, 167745662, 320285234, 999589554, 648172509, 187809486, 321609465, 948992267, 389541319, 545306838, 300333080, 797377479, 437126453, 579125238, 630531701, 34124535, 44432382, 326260208, 513647302, 64899699, 205025603, 96672056, 168444566, 336819364, 949081872, 25570228, 609957027, 916068675, 551740208, 388862007, 754814810, 331392991, 210654832, 374497639, 269905365, 646975743, 428433851, 408546345, 774731210, 457544413, 415447228, 900545933, 417073843, 395708827, 908205165, 298067916, 605663224, 862952292, 319835730, 29339629, 372224836, 84633855, 712239672, 460360892, 594352828, 580757309, 820097489, 785895564, 593800909, 759161834, 970747139, 74518126, 59310720, 844841797, 457578117, 978488584, 445724587, 687541942, 779738474, 552106753, 872194395, 427164159, 132688135, 551869447, 518294865, 515514177, 712987547, 268018263, 693663735, 857464273, 290672050, 827559110, 867316964, 433779250, 729298227, 925645017, 280468498, 748100007, 34342459, 876449610, 620956833, 739423238, 296635864, 318434975, 153570483, 321083806, 818883935, 385570821, 444429816, 230208698, 107586150, 360010742, 121973798, 407271237, 33716308, 741745098, 25619487, 286551254, 562991503, 265406628, 940408978, 285363106, 196126290, 881543780, 639739069, 619510246, 973472818, 562770281, 230395630, 649416183, 787678418, 943291450, 181004619, 702810206, 883522455, 429569016, 256666062, 116576853, 510938443, 955328657, 609525224, 633213104, 962743649, 884977484, 949410652, 299709902, 607336615, 677586775, 571898555, 802233848, 556754061, 660612774, 164686710, 72538203, 15743479, 898559574, 70298781, 820538137, 806007450, 464979272, 11729107, 76448403, 938626764, 602374900, 206143541, 116584108, 934331780, 385695320, 586434624, 302460713, 707999398, 126804709, 739359188, 599442871, 598086236, 913296963, 481945159, 91143098, 764339847, 997291907, 387571584, 623425779, 15219512, 95183113, 859644165, 615177011, 963807200, 218690730, 651554833, 120183226, 152888446, 394763769, 497167888, 260520495, 459145904, 203772259, 164562603, 986315090, 216730162, 410317122, 406478990, 692391699, 184455770, 566436467, 404833569, 100748957, 302034717, 402218867, 417923093, 660426531, 236121669, 574210073, 607910583, 604729770, 915428440, 756576781, 109334213, 202613706, 284114113, 120430006, 547252931, 808743496, 524319665, 472004981, 862979789, 793755043, 929087563, 839513656, 600601352, 53609750, 48430095, 154918174, 305662563, 543706531, 260870792, 938258793, 945981360, 175281123, 967726971, 571993476, 903502395, 320956129, 188844197, 705827323, 970023184, 329835052, 609890730, 67504262, 203642753, 226264053, 229986421, 732561368, 981748095, 788337510, 547395112, 290376748, 515903893, 146280411, 215341408, 214621074, 705059859, 182933886, 209679274, 248294991, 395529905, 294956998, 638172920, 276031904, 398823438, 936418395, 385304031, 468540455, 430802930, 814195576, 101958716, 351343432, 661476280, 574578333, 669979095, 201284737, 853609654, 218395119, 187527139, 503732125, 776179057, 710904304, 954037317, 462526767, 9363696, 562507199, 565102876, 523833944, 426715730, 263154708, 124845798, 317488876, 386662887, 445394145, 194780153, 471675495, 950697508, 95919351, 104254091, 964876396, 675821321, 734157083, 237985842, 481375249, 107137786, 813241838, 154979674, 67859096, 414798235, 151204026, 148028332, 474274608, 525899639, 387973866, 486835351, 132597307, 529894295, 858677519, 374958234, 94391860, 722804890, 6283233, 81167880, 914976374, 508438608, 405875239, 547620279, 302900305, 60452166, 707631188, 209398027, 80349536, 16111172, 814464344, 694728741, 239359263, 431354255, 954411278, 637973687, 695899906, 448664520, 333112807, 32780515, 614238148, 611081379, 919555535, 768940456, 860253171, 948388273, 379077075, 31191248, 677346860, 796119318, 291346737, 11022551, 126095195, 668836490, 707211409, 897534939, 374399960, 929390576, 764174143, 150323499, 620844294, 671674318, 780677573, 443778428, 663583394, 77396886, 928406973, 179897896, 550683596, 560220114, 424601567, 83213011, 412315973, 355052149, 330453686, 903921245, 981768209, 766456527, 853643819, 584051731, 535009250, 652921278, 400015173, 304725983, 435634293, 760866705, 613681116, 503306502, 102427690, 395253925, 752789066, 434327707, 993499715, 545455215, 908742344, 805661753, 758752295, 194448106, 44051155, 614277559, 308190113, 361214834, 289063811, 423487738, 327897978, 93483468, 101305108, 781397609, 36940286, 53923503, 993676693, 977136717, 493860226, 186809598, 958911233, 865531596, 963905101, 403757203, 789100927, 650374880, 341790280, 143617155, 958155419, 944465258, 833408346, 614281708, 280644542, 428596523, 215641907, 393078711, 274358971, 843271526, 263114435, 580448050, 888554498, 69663760, 224456741, 378348229, 400575549, 175603428, 407955538, 994129104, 894607140, 534180955, 693243011, 323805130, 593816603, 999509848, 458726229, 78363806, 871615027, 238545790, 566910404, 164875911, 847913148, 155033886, 890649291, 420230378, 273598488, 136651078, 403034455, 457573253, 625290420, 369134075, 118972513, 88952743, 292342164, 11879516, 274166601, 873356290, 558031998, 515598114, 356447692, 122972162, 158089453, 528641357, 637344387, 452429901, 932414022, 100746593, 868503880, 733354667, 630182551, 727531987, 474792577, 992176435, 509128871, 472289909, 180913422, 954526850, 40892348, 643743171, 890708651, 518760537, 305227017, 519264630, 157673080, 376857428, 172600364, 756447837, 57217709, 301231781, 342830890, 917237930, 731825733, 998596740, 460595081, 742201819, 638318387, 852533653, 420662416, 857394897, 689876567, 134092269, 62460721, 659474663, 695190750, 954216938, 275123182, 267097198, 78124117, 963225932, 666699681, 127684556, 441050005, 93841393, 931216447, 680396817, 177527270, 786606270, 381660141, 601996792, 950755851, 722234198, 506619620, 925317214, 601282674, 262040676, 65764054, 871712071, 154531340, 611894450, 33526667, 165776186, 608811783, 768041518, 652120931, 216054150, 502670312, 844598754, 719188256, 734736754, 214804351, 318095063, 339001649, 668528630, 437354387, 374317415, 280490696, 8402771, 583525900, 142952813, 497402140, 550577531, 97871920, 402208797, 256639464, 51901328, 688230539, 38617931, 450357585, 381194778, 175529080, 602653999, 477644383, 681590139, 47010903, 491365124, 351996654, 752657505, 563128459, 51047724, 409136212, 365536175, 778449391, 519234004, 383721628, 745965090, 733380170, 855347303, 219235262, 457759636, 506047680, 261789807, 452330831, 590730849, 570442628, 292313337, 271530765, 852759670, 541767254, 46736526, 3526122, 941736274, 215833866, 428731246, 400036320, 307250349, 444452029, 599222804, 200253817, 401603762, 614467046, 591506867, 693533038, 845774161, 944088074, 603457196, 273674949, 578901838, 128165652, 504474402, 55980713, 555927710, 812800052, 674080017, 724028412, 36509195, 504114620, 641817379, 944243245, 832589758, 844374579, 843370732, 841491400, 414643625, 786260754, 416796677, 786268412, 927434512, 913792454, 749210312, 800947126, 926538377, 519822111, 108655348, 194971637, 596541711, 355533495, 11121376, 72830841, 779831659, 491271370, 884692845, 701516054, 805516542, 28994794, 951973247, 656444411, 93380524, 657758518, 41769286, 582031208, 139005745, 114331346, 357433876, 674546608, 180968563, 977909030, 468391120, 790337313, 564289451, 77062520, 824930143, 330248673, 61502732, 125362727, 577959674, 917675478, 200358453, 374982080, 72828093, 887339428, 801620158, 417167417, 94804801, 451104066, 932170943, 857732836, 932416371, 881876649, 874941684, 119389878, 19143656, 798417116, 112132568, 73689316, 433502206, 603819866, 172442695, 382856549, 530223461, 991402499, 151307720, 962190821, 579466119, 954733558, 143837780, 384537829, 783374621, 722292641, 353121064, 596073003, 21130288, 667341769, 635509088, 375299918, 208241899, 507137062, 729407605, 777203274, 953134920, 732079978, 103030848, 264443087, 345333179, 205530407, 639242239, 75890531, 923764931, 357274641, 962127764, 785249883, 589735589, 77685529, 900513217, 401834886, 782081513, 550641764, 347649355, 63648774, 42473079, 753368100, 506613324, 272055031, 368895168, 826172441, 768120256, 958842292, 331359212, 686316735, 26586791, 907079293, 114606242, 40712690, 62951746, 499416360, 75126429, 878417664, 335023755, 911848326, 682278097, 982674221, 232828300, 12173682, 256028523, 513902684, 461973504, 82116152, 643641776, 251002494, 421782412, 95873735, 318800181, 752821889, 437363870, 439910773, 90346616, 562082216, 283132044, 89916784, 599859217, 719104436, 953263632, 36222327, 870229560, 368717045, 699212590, 779134844, 728113442, 769315313, 502974809, 593802086, 198494907, 775705600, 563872884, 639728245, 683406368, 990348097, 751733707, 798294319, 504162113, 415155032, 836912820, 999267407, 11860047, 677721270, 689325339, 420073710, 124771960, 60650918, 193203151, 190970303, 262703370, 215059379, 483987805, 562291078, 532959625, 154667402, 280885105, 776967665, 896538097, 917605925, 957944418, 92992736, 499703623, 483494772, 517312660, 801132488, 830875902, 163635611, 409789702, 640653632, 811396420, 206262502, 969099797, 706353886, 263875078, 374246096, 131812928, 484721152, 202547968, 579071862, 311714164, 388212401, 341364160, 23650398, 227993409, 661605476, 881446826, 138313795, 889138846, 644725334, 762618689, 76174270, 581232686, 866080505, 669263145, 1324666, 86323789, 580084250, 114131107, 882294971, 372293024, 813187966, 824021336, 172731897, 882234330, 836276993, 315641880, 783492509, 193323119, 192710091, 983199676, 855943641, 37696838, 724387477, 247352229, 775447045, 980960065, 103311349, 101086741, 435599433, 860824524, 723256510, 578704398, 289654539, 740743338, 766150735, 486755583, 230193663, 203791119, 909343999, 115214148, 301664791, 857368323, 335746820, 358969532, 731049214, 203201371, 355514671, 725149691, 657050133, 122932308, 242021558, 373775892, 961425505, 880592232, 927104959, 902355756, 965660006, 594244133, 727400455, 790030483, 399636519, 722317118, 111237539, 639121746, 543411210, 245411248, 4942904, 647998655, 610423205, 341829751, 449494838, 681546222, 15116317, 553223134, 132367023, 311555879, 509411899, 958503259, 387742132, 897321224, 775165682, 451060255, 389934557, 219871745, 249701027, 878467604, 588257441, 899970551, 237057919, 583585388, 595586637, 145210603, 757459293, 575323068, 83225276, 685851693, 547014394, 169090207, 158113987, 998779352, 72290739, 496379030, 864355719, 505597227, 380090748, 313829525, 276710489, 582526121, 965127125, 79946352, 283290785, 836860506, 365309736, 712656531, 720462907, 291303169, 48026431, 762642853, 638755598, 430461183, 404729394, 597803063, 570984202, 925273496, 46045204, 781277739, 904415856, 86025224, 11670901, 102157489, 353808716, 273676938, 669699740, 472121917, 629345854, 617387242, 116607220, 203717965, 864906411, 342990453, 956868027, 873833504, 729528558, 712813102, 521590537, 227584805, 585504707, 165877549, 652537896, 435006498, 275755460, 821275172, 690025747, 217518635, 459327624, 269252331, 813789994, 218418610, 760653847, 694250070, 702875987, 763549813, 39152798, 585546813, 807954360, 193325149, 533788390, 814801484, 407986234, 421982907, 550368461, 43828533, 83751042, 410166544, 633066149, 289880345, 335997119, 742165865, 591600589, 896637886, 550276803, 303388699, 106032940, 514236885, 741000, 604237519, 321496191, 168434609, 185162926, 485181552, 23617647, 698588112, 54253714, 986407181, 56165275, 687762445, 865152976, 277525633, 623160713, 845331689, 497797220, 514872812, 730478703, 356838649, 624497124, 152525167, 904212609, 916125136, 69771034, 168790133, 504739255, 545088549, 689680166, 652433114, 655983999, 830846104, 702709904, 913054211, 919371142, 849633618, 120627396, 457753104, 364998938, 835239255, 996591933, 611546031, 857010311, 246198527, 424943625, 655288037, 644419410, 53488720, 104836843, 504564215, 631471630, 542612804, 444472060, 136403629, 491460448, 658721853, 986070055, 983949898, 597379483, 872244865, 489779403, 548894891, 432610091, 644821129, 819087040, 212376528, 826271184, 603654476, 115019471, 340607034, 989244913, 332234024, 943449127, 994740666, 867950388, 967129375, 55314299, 892981474, 154214207, 11463568, 867004311, 493614465, 913739809, 259281808, 593379218, 28509559, 651684791, 518785103, 488338085, 568714035, 875196709, 186039453, 437109186, 463072603, 213459497, 864866136, 346778592, 510437946, 698609308, 251733587, 42812709, 760842637, 672766285, 844205204, 229507204, 599175422, 219536638, 217345449, 496521777, 465432866, 309977207, 344462087, 257622084, 941517145, 103725308, 734046005, 662868872, 94089541, 498074970, 599737135, 477638143, 137328649, 727590847, 659588724, 132045023, 643770359, 909457032, 654043891, 617327258, 167893636, 579195537, 10691652, 584781631, 588668147, 530848613, 191327968, 715904380, 614335872, 809847980, 236506545, 107284798, 271829006, 963386676, 746107473, 84896757, 684731363, 794085041, 759028919, 774948909, 859737868, 859205060, 290990286, 763695877, 459887838, 712667391, 877411266, 368902430, 810969208, 33103615, 408322565, 417830264, 699545402, 116131757, 85573496, 257315905, 100684833, 731637438, 455593208, 387355876, 879262786, 141981784, 196692756, 984957351, 138195184, 580972917, 42659366, 498673329, 513074158, 224380357, 101252167, 258107032, 273903345, 138425785, 452374425, 568057057, 203156788, 22307072, 36863752, 160164783, 113116010, 294182565, 420394520, 497074044, 820893932, 589865405, 308510439, 607037209, 163550500, 547699370, 525331274, 746596083, 290758568, 600885994, 885404701, 967846749, 757686659, 681404931, 721960121, 148255659, 921983383, 986662720, 418991541, 891982381, 299495534, 252486659, 767031125, 82177577, 176788952, 228718162, 860458684, 408282963, 463396357, 576681349, 758768101, 380002407, 880473303, 188974776, 427594852, 54651603, 188363690, 884404092, 888691394, 884855296, 88377493, 569623669, 147487508, 652371899, 477640239, 218994763, 900722460, 308463869, 619848495, 887742107, 49430541, 237916230, 144524521, 155321613, 848896400, 643731533, 276631978, 377136194, 338516979, 44782683, 59551720, 22059063, 11417117, 568287128, 365510514, 492781724, 890960618, 291204431, 264500704, 44796355, 612988664, 649894723, 266429432, 930410395, 648366574, 332149948, 672702468, 414226126, 416546410, 100174965, 640614963, 679059635, 831229691, 91318813, 124795674, 147493545, 715838549, 414436248, 827880429, 244903351, 179062113, 543748725, 61368530, 613691224, 600688765, 814433781, 591303154, 589357245, 174399789, 741087890, 781607323, 926959056, 185722169, 401635318, 620399877, 269209259, 365840486, 446785275, 710003014, 960880742, 331611378, 136835597, 226822348, 702857273, 54918201, 603734958, 487211313, 558458664, 942962874, 208669945, 872458532, 582585513, 198486654, 794821080, 443706185, 308022316, 62874883, 496708371, 707407335, 286558131, 892833823, 741090574, 48766459, 148905351, 459387068, 747950176, 593002195, 164451411, 868360538, 953808913, 136345247, 954067342, 306546891, 103396710, 675239335, 235027438, 295474443, 522598855, 321444862, 658887558, 535420894, 261440519, 181136431, 715042432, 827000337, 274656634, 944852299, 106944309, 850578292, 753972383, 876727356, 194638349, 433433428, 725143282, 500186622, 32008858, 472126443, 908041509, 696882483, 348196647, 57415631, 830056181, 915594092, 971963923, 496780280, 879987140, 51195141, 171194056, 936838190, 495283579, 527075414, 954150524, 692886554, 996501084, 704287156, 210295922, 828761003, 384231296, 282845331, 285457086, 109520499, 38511264, 153700676, 57970481, 543760032, 38431498, 916529700, 443972221, 698730293, 830156018, 315498345, 808117606, 922284120, 304771371, 459897213, 70984710, 184728616, 10228356, 37157839, 112706015, 483268013, 291665557, 393474139, 655926617, 115962472, 517021692, 739419744, 41465045, 899653124, 697028159, 960901846, 457655354, 660749561, 119191490, 591962542, 158620584, 369936259, 72850582, 211770581, 46388055, 566385223, 950796385, 772219010, 500948779, 369092085, 436001983, 840986407, 408691860, 981125374, 418408985, 163971902, 688560997, 925582038, 183454932, 399957002, 375150239, 399624638, 373392627, 640263578, 825277396, 16054354, 228315716, 687325047, 866326612, 198071754, 257593554, 680076376, 424479921, 615979637, 40691332, 223048730, 267236346, 912684453, 357107196, 251264265, 184787957, 116699880, 297429752, 80644218, 349605765, 466946975, 162614080, 765983625, 144798283, 621402039, 139143498, 61640338, 299452707, 947239294, 153112370, 951084603, 252341642, 9256144, 5363779, 982550865, 597581359, 967283876, 890877554, 697179344, 843193203, 207665948, 764300323, 849739076, 760520068, 299767068, 329258394, 490910741, 947232175, 749670398, 414260201, 447269635, 384071473, 198344721, 457533806, 367621769, 76813418, 932664353, 183544970, 484888238, 717742795, 12363692, 95203969, 457541127, 786197880, 55096675, 511837946, 950402891, 764416409, 939488939, 783600437, 36863071, 770809938, 206857269, 145838751, 998236392, 179572012, 31377073, 633152837, 796909245, 442637029, 551047345, 695245511, 962759979, 344088121, 273989884, 83482427, 172445160, 996751338, 848001052, 677851105, 133077309, 606828062, 951615373, 374784151, 34263917, 24001323, 536306379, 800709041, 541045274, 819571038, 492339749, 199821325, 686077938, 372067950, 688598769, 618945936, 881882647, 602682617, 136293800, 897920575, 105352081, 98388145, 720875509, 170803946, 908966878, 881000269, 873510117, 241520735, 824215315, 128607399, 7328897, 869085043, 537136169, 388904416, 365561659, 187471024, 247702166, 384412518, 467967661, 201322007, 914340918, 39485020, 504049779, 36338550, 930843788, 296604556, 29102342, 331940126, 273597875, 909741412, 366274775, 407747767, 59921482, 812656938, 233090663, 199568068, 650922184, 508017943, 452059161, 135479816, 463573106, 814317210, 811024958, 595072358, 601544086, 138171329, 198688730, 969062974, 578494166, 954128020, 956380917, 890500789, 17961335, 458453453, 98762315, 949598717, 26464658, 797161262, 870066732, 502845543, 983025902, 49799171, 724108195, 730394506, 761752756, 278091107, 955639156, 269440808, 646829544, 783707526, 438096453, 554399815, 313713944, 249442422, 5875001, 403361200, 744454165, 94950522, 671063371, 59416481, 353992202, 346886243, 872913344, 851921857, 725274791, 907008788, 847312803, 267778449, 889269255, 605780001, 112589874, 889957533, 58696463, 296169882, 902577312, 963848818, 650796079, 86752935, 773397549, 192512408, 275922211, 106272291, 984163166, 238344217, 325875518, 618422164, 926535852, 75339954, 28026045, 188773680, 222912981, 888003171, 30218660, 709373213, 257371274, 956838066, 124135810, 749158049, 334947817, 682420113, 736980145, 866424571, 802482438, 955753912, 903762957, 688702108, 990045998, 838149313, 475317011, 855384076, 424876854, 705039228, 205102928, 682506479, 712972337, 553785874, 996820573, 235289221, 378645217, 250940883, 399635808, 323421299, 441279243, 993609738, 847127772, 264914189, 571461192, 968962449, 890836679, 473281102, 690131248, 527428776, 212296459, 881000475, 743153208, 940788300, 401440071, 797245299, 25892000, 671009057, 223776151, 810672109, 647569985, 341837708, 66369105, 241384482, 770241753, 962057038, 429073655, 586033020, 641518709, 187349297, 498045289, 799077624, 335151242, 348793284, 476985267, 731057990, 925248003, 203948978, 880754920, 18211685, 527036867, 83509930, 154841882, 899257668, 934332126, 966161573, 658932734, 336405341, 625522751, 400965072, 635102902, 981038382, 112438657, 183658835, 350373066, 854175534, 928050500, 220216765, 345756417, 213596285, 694104845, 712984122, 177769596, 101378097, 755259014, 170232172, 33010391, 445731474, 682313753, 210792749, 928219640, 161804515, 457070794, 243940709, 999422485, 62357675, 677305767, 799566305, 256366758, 718561800, 522447283, 892431174, 752779620, 839630734, 674473247, 821141736, 445696039, 482277838, 556548765, 547963877, 919917278, 843892034, 68000371, 98039503, 788502953, 652469514, 290428525, 79920572, 152777653, 124202543, 647448126, 293476546, 58790877, 826287245, 97612527, 421205260, 89247945, 303822970, 943397257, 997205025, 783408089, 497937870, 156406501, 976012931, 41883256, 923680944, 726879100, 135907818, 648462178, 19614846, 263271018, 213150468, 758254971, 730564433, 331021598, 792387378, 480776255, 805791403, 4147998, 863456112, 565002724, 64224915, 273736960, 189435554, 450840036, 713361719, 752310638, 165416133, 735091636, 302702511, 786327632, 539024188, 457886859, 360097980, 699510643, 365842122, 839542393, 302392290, 207008214, 654995679, 347838400, 45513521, 118570262, 565915016, 80321779, 896314320, 947603528, 550372470, 967487582, 663764309, 340550734, 457350875, 283962262, 836242737, 899452089, 883792457, 375476994, 520154675, 309461717, 24695042, 805151601, 744420282, 560860255, 958235923, 319950784, 4370193, 330861832, 43669714, 966847495, 986196204, 962607216, 574118904, 131065891, 806912120, 288497184, 342711042, 887158421, 630123214, 521313688, 105636722, 2655171, 447884461, 715874520, 287760155, 584477795, 139499764, 821503500, 913451682, 437232054, 919748915, 438077464, 328464159, 950269223, 604842971, 219119524, 677563304, 267585330, 130894815, 447246374, 35188383, 579934949, 575501066, 754879699, 408057314, 582495362, 99890820, 369111510, 353840634, 520159517, 996319034, 330200363, 505910364, 490358340, 98573330, 746774513, 976089548, 326261148, 211606290, 301974681, 32453376, 187628855, 706220154, 266456704, 771025575, 767156255, 131509619, 133099766, 36694657, 143759499, 72916699, 260778307, 677234543, 616996725, 511017898, 91795485, 841354865, 101665934, 716505498, 116654216, 52955875, 737284050, 814413935, 486575248, 9225306, 377908004, 506155221, 173173061, 718908532, 111904304, 654951314, 326477433, 487309868, 287417449, 198145797, 45566920, 218344393, 594358997, 876710482, 511420617, 954631763, 29166989, 850492719, 423527165, 498115909, 225975364, 393018627, 414532528, 676434769, 906265432, 815693708, 46597158, 881720419, 301463197, 433345913, 332610144, 559850456, 156461569, 12364193, 722681750, 596073144, 491980362, 400314950, 791799445, 881639712, 144914710, 87980605, 679558406, 382980567, 51603628, 704923440, 936828833, 319327707, 988402311, 336575481, 817964043, 484540266, 588690096, 203040295, 86302114, 901868979, 715704755, 535573880, 565327555, 944550021, 675048032, 830134317, 929201513, 107313110, 845175834, 693359038, 831439917, 245571616, 458515901, 776932486, 923331647, 809801747, 148157887, 309997250, 743596641, 890587055, 785609264, 822928229, 802216009, 771666979, 807336347, 680293660, 394111599, 979158359, 929587947, 747251656, 338936103, 931886508, 238626038, 710454406, 181847399, 307705614, 765709447, 281852735, 485390733, 55271567, 445314599, 926240899, 746405811, 568999617, 276280178, 894251877, 972011301, 995999422, 744453707, 136487775, 348528870, 952148338, 265626889, 600721204, 63965895, 547567387, 141707828, 925880695, 149632675, 957257134, 442855224, 16447293, 1012486, 925520772, 615924640, 274750649, 176715892, 713624269, 946377145, 312371273, 149006194, 322432733, 649099672, 700606494, 359837420, 626242082, 962897007, 77221009, 242672328, 308460184, 550656049, 733454960, 687614371, 471679182, 155730734, 526123019, 167330397, 496370944, 385114149, 583451367, 566123946, 765616622, 625192242, 170722215, 566506152, 27656839, 420519921, 822770969, 203591839, 385178148, 31031511, 395592333, 299559057, 399287312, 64907625, 188324304, 539492040, 771584479, 205842279, 191054617, 709549916, 808014420, 778809154, 645115392, 805745505, 20498154, 923634785, 186611421, 688362263, 620067806, 685896917, 405011648, 760372680, 799720770, 877636012, 404230945, 327663549, 675135255, 982073326, 536765066, 118344189, 197461494, 646990416, 123959371, 79407616, 703044508, 559255963, 547391222, 176414949, 748131916, 419779476, 55241075, 114522351, 63169617, 225702573, 829262729, 57812417, 987729207, 671635717, 543152592, 471377320, 854427222, 844195203, 803553350, 834449193, 257710068, 495310482, 150154245, 804767582, 894590612, 302024537, 542022378, 881232818, 153927464, 831522290, 629504277, 777577052, 586819313, 800500688, 310613952, 285434120, 322352221, 659437239, 312283533, 74111071, 101577379, 165657841, 365909806, 850205639, 815014067, 32749396, 407814276, 820957496, 714794593, 667682930, 195066389, 49183169, 575931182, 277368613, 927261022, 99554512, 824188652, 804066039, 629022409, 777274462, 609370460, 314672508, 382293768, 641968462, 855704489, 845958760, 486783107, 261072940, 383242908, 667431563, 687205682, 623897420, 397771480, 633160544, 210814186, 639679568, 344980745, 650612714, 380594087, 83191867, 524526447, 892456242, 691605294, 657434012, 226656536, 265859394, 743384154, 789521566, 342064142, 984342519, 181939781, 566268652, 24851836, 950682048, 627323616, 380522292, 89355887, 959947357, 372772991, 848607859, 79388386, 378993121, 262566860, 581817379, 133746910, 473050738, 368229370, 218813564, 885729487, 409589929, 579410253, 507875756, 448072226, 392139462, 111479524, 107377107, 589529402, 257198334, 817061131, 311255115, 274780460, 145040133, 998166310, 607028316, 582180129, 441308942, 102938014, 247731102, 853945771, 298227442, 221264617, 511752174, 766543916, 50499969, 165772526, 384219624, 115829091, 2367421, 311011379, 472805209, 561281389, 474171987, 748418254, 28335805, 136455944, 702837490, 332639635, 383908050, 855068671, 352844135, 535891421, 562272017, 770537657, 404906905, 244769737, 303337422, 511037117, 93527889, 415022741, 794877517, 679957810, 424438605, 320701136, 94298694, 166317979, 174593, 389544816, 307592242, 239802673, 266491468, 115991046, 895449873, 350083675, 70291856, 265955930, 424096749, 257592064, 456360793, 684307654, 991028140, 351972866, 458307761, 782666670, 265645204, 156066507, 23868504, 853497616, 22277401, 265352303, 532489728, 842814903, 291253772, 876669091, 961336801, 552523548, 97451596, 847767697, 313408264, 546622186, 288930722, 678242749, 14715369, 603212967, 281694459, 962390248, 516800226, 335841047, 124004008, 202794648, 260290609, 492978206, 566058267, 93390045, 822338887, 608136009, 556739265, 658400649, 516167877, 625693403, 858689197, 948956101, 103606966, 442631603, 599235113, 821452389, 489106798, 587224174, 208161660, 660159015, 792635278, 629279545, 50108619, 251405775, 218803989, 642134028, 531643663, 803782501, 126116728, 674571683, 542427750, 953196139, 569450726, 945241715, 924221720, 494771469, 448635326, 949470686, 688917131, 379596859, 574429623, 654497424, 713697258, 275009290, 989527747, 346253453, 905547881, 5328474, 350699177, 27455170, 164384294, 611007739, 255539035, 82610485, 352191779, 520221923, 166323663, 584103542, 391559100, 606355616, 874384028, 520595192, 136510305, 575669013, 121931018, 320268548, 717590146, 887668689, 790321793, 321318078, 264499229, 343358706, 485899112, 464062975, 553556753, 87398585, 508931938, 148674359, 392140704, 649563745, 311852860, 486518897, 665997808, 869675394, 418139858, 772482595, 227760986, 522808311, 469733987, 362412726, 639895434, 580947112, 853456300, 401366332, 217909416, 397304907, 194218515, 227275450, 959184033, 42692381, 223239278, 51074202, 820382348, 144304974, 424949994, 333102520, 977514706, 242413955, 45922446, 793686541, 809616010, 736350201, 94882249, 907619930, 18000221, 823814338, 768347536, 448380996, 684827590, 744682623, 519354778, 612366425, 207375437, 867384610, 355762829, 955028745, 242280132, 421739389, 111930569, 61578250, 692623722, 176819069, 421864372, 656829903, 907963139, 434635513, 648142759, 233755860, 711255407, 556000186, 312114340, 696497583, 525604982, 583211195, 305270208, 924006671, 802073061, 385907806, 232882645, 507620552, 742376418, 491133034, 979290930, 684667940, 845526429, 174114750, 875995657, 694252185, 507814305, 392505782, 309918901, 138217640, 143915156, 714178550, 910922611, 72681514, 543728367, 858805609, 901069307, 421235914, 347684762, 11326293, 638713344, 710891495, 866878958, 949757627, 828463297, 113326110, 237854690, 40645808, 581456260, 182621670, 868910465, 892934075, 485407748, 661436725, 657885281, 230659343, 439634489, 287298576, 529481175, 336648287, 880156439, 567987037, 639159217, 924252316, 71372731, 512096368, 125124149, 192388811, 770682452, 333730594, 131779816, 248590847, 220932961, 817238918, 9112328, 665310274, 21894608, 945469452, 406772486, 558859579, 584693790, 453283447, 960593469, 386002234, 782677814, 567303967, 418504810, 253988569, 760607100, 957424428, 115498050, 800415877, 97065195, 91063595, 922688448, 599369805, 632179925, 938073734, 24934265, 347256350, 935712743, 8892311, 428918144, 781329861, 193466861, 399056844, 329353385, 442521379, 402003438, 321254447, 250407839, 317490634, 156271654, 52540908, 746767154, 988158222, 952822414, 391446051, 364744932, 891163783, 916575741, 137590607, 322304420, 429546370, 868171115, 848724281, 350917578, 27187418, 638712021, 274537567, 198954824, 544242543, 471665800, 108113253, 468410363, 223915439, 544651337, 27566092, 884705913, 824399386, 952793361, 166727744, 272460793, 176216274, 260702129, 541630648, 257763599, 379569049, 740745560, 537642830, 601710073, 993889590, 232243982, 577904117, 477009042, 343034145, 188106603, 860151377, 65969627, 706097285, 933103743, 409696314, 862653049, 745287317, 564705448, 49919969, 918651739, 684984753, 371448031, 282351455, 648622124, 971513679, 776167169, 374782771, 304061260, 203620868, 960948075, 413714610, 487424637, 354915955, 408170403, 114535677, 83399390, 87837462, 315024123, 741381059, 652355331, 300857269, 511742102, 245333041, 874780354, 358883510, 421558622, 154921053, 909647103, 379251750, 112948350, 275332583, 20261495, 648315402, 475794599, 72172620, 559996483, 267803103, 772042821, 503791142, 137152032, 808331643, 383253068, 329702180, 621861527, 865335763, 452284975, 94654169, 618503811, 600539069, 55019338, 9199585, 136976437, 890106114, 310509021, 469679665, 159245851, 16694420, 629914913, 814948333, 971679887, 156800207, 76389826, 837415856, 673454053, 257647030, 348447079, 998546970, 410983318, 824166951, 633453973, 134189369, 25951043, 119926895, 506605979, 303809204, 319210862, 731961940, 77263495, 515734132, 379863116, 725039007, 677975235, 375872688, 277141929, 487024445, 807825025, 938283193, 522931358, 166873324, 931124172, 384959464, 539283199, 21130792, 939075793, 162083306, 880348607, 702969219, 652259334, 433844700, 97877026, 845383503, 951601084, 532447415, 15701709, 102865367, 252512806, 507659276, 882532886, 204035579, 77223968, 85262455, 63685061, 476154358, 470234898, 493304517, 807253609, 556241519, 967245257, 737680086, 721755254, 564136978, 142648193, 570282230, 258185363, 259599759, 72808483, 769946502, 82164097, 842899924, 842779106, 772796744, 118151770, 603686263, 252483591, 573041396, 161608137, 891061865, 12148980, 3132992, 140153934, 676340648, 505103390, 713865228, 996057486, 964902015, 634694077, 645916121, 216463960, 998578644, 830907424, 484646154, 155650075, 149797316, 636027012, 628214476, 994922679, 943055928, 99032617, 741244721, 19112929, 401899545, 769559701, 570681216, 814791755, 418221227, 991632177, 711745191, 907463145, 814784181, 124718019, 359305435, 464489813, 355724391, 949943664, 610441245, 673124619, 169463948, 332533738, 105590575, 448351410, 378839252, 428155041, 506876306, 141115645, 327541578, 574136045, 856172002, 920387330, 39637288, 516386315, 721213185, 652253501, 949557497, 840886450, 988613749, 771684756, 607942710, 667222148, 651859707, 604403750, 948037901, 947439121, 702719523, 805211212, 469431128, 774465653, 431494590, 448654297, 257236322, 184014875, 861699969, 966924629, 515256098, 842143360, 10979407, 147869792, 266213963, 296984948, 830910586, 905008730, 679172113, 382214135, 364138373, 220335412, 772447657, 542742972, 460522524, 624460256, 224746692, 175879881, 722951998, 59430356, 471760728, 616405508, 657872798, 713757023, 416050428, 178772039, 452996443, 396761309, 624754636, 506835889, 198718057, 59568812, 180825111, 281811274, 512099533, 683569413, 132667282, 26694933, 206067911, 633028265, 975555803, 664834465, 859592919, 2092919, 988377135, 337358698, 490732997, 323898306, 282909677, 781941410, 560493898, 984775412, 244760483, 16950638, 249460451, 231669105, 665975801, 49711181, 648215497, 995118057, 106405882, 80192668, 442706891, 38913491, 657343114, 748576883, 317354035, 332293273, 40919614, 962218937, 160003371, 365499399, 546276713, 784804772, 879203035, 666009196, 383036546, 148085161, 498580742, 408158912, 100542125, 919615166, 699074192, 335238095, 938571496, 954245333, 16797974, 672948892, 566360057, 966243698, 231397941, 6841622, 307927711, 526622671, 108107125, 561470341, 827664373, 43745898, 910488158, 517183776, 352309669, 524712287, 131894282, 891368910, 797843497, 500722744, 475223692, 385622953, 113373146, 544758096, 89449256, 580124250, 903211032, 336761014, 925988394, 632132359, 920786780, 781487612, 695940963, 283055038, 274613142, 819434512, 679286066, 161014099, 869344106, 980391205, 565688282, 763566690, 552714879, 285772718, 980667010, 681682390, 980403014, 201873071, 156527312, 485843912, 474032276, 534755443, 982246948, 688358366, 653158331, 951310587, 824437726, 339752512, 197481138, 571238134, 831793252, 920368751, 464088550, 10044520, 575646634, 458562328, 2463168, 922642254, 53118944, 569780729, 226505881, 273242521, 3747953, 488261998, 332244300, 923643392, 963781658, 35064071, 409295007, 737810338, 102829021, 477804603, 468587202, 94162050, 897494305, 483586061, 666918802, 774970022, 643861862, 908763928, 78940338, 147459273, 310421260, 781988236, 811372016, 221428736, 453275640, 354544005, 942270834, 767647119, 672599557, 740840205, 771038670, 760401275, 519097686, 757511930, 355120760, 169456949, 693602823, 230484995, 412436124, 581745292, 157234485, 717038671, 204482390, 54310059, 295898021, 23542459, 854638491, 256245636, 710810834, 24062096, 38406881, 572598651, 315411401, 326035697, 433413938, 6934338, 258213164, 319822325, 805776355, 469702886, 183621607, 588613059, 22872772, 973202594, 426259034, 249416213, 598104853, 811778909, 752053666, 874860909, 995191255, 717223639, 74003888, 191646178, 649017213, 147743350, 712568738, 102755377, 89297589, 748701590, 78485848, 268012485, 427136352, 10768067, 130858380, 70575757, 12759554, 676485131, 528920732, 546619471, 647035637, 73009510, 430623900, 440901304, 563840660, 263105867, 762366571, 372282300, 744282613, 614712730, 627970641, 144974754, 915829522, 708251194, 296966673, 99682665, 559879529, 900728319, 665495880, 679216189, 132753726, 596146911, 302519734, 129133811, 208336943, 545696878, 334708524, 982427984, 326869079, 434592937, 458486353, 395707077, 238885676, 375230382, 974502180, 387226914, 631420781, 641489697, 207986154, 891528722, 228929079, 481455946, 946817086, 861215048, 889110188, 657470669, 653865456, 895804587, 981930787, 326255366, 28509411, 921887237, 187498572, 453926427, 235801906, 430316652, 410661488, 443048691, 156257064, 558192262, 326669244, 32006769, 758405829, 867047520, 698148327, 350024993, 395065382, 420696878, 90262026, 754398689, 316388702, 241681320, 606340730, 30563290, 121030958, 385443014, 76722806, 550854881, 357772907, 787539405, 930114797, 74235013, 53828148, 982292997, 904269365, 414214512, 606592673, 897700268, 618921090, 302979222, 93922354, 738106922, 790387865, 948623582, 267362248, 583310450, 770022364, 787796485, 235283489, 693130416, 738982517, 660944922, 328974591, 71121356, 322403720, 884364535, 63433428, 800819319, 504665681, 210672182, 450478704, 60958641, 885611293, 149546624, 775730397, 729602160, 782174638, 640673740, 920798543, 773104281, 658041104, 516131797, 145395563, 534300267, 91876666, 70740999, 65624868, 208205280, 584970717, 916520998, 432502864, 443120508, 227465431, 704409253, 602984463, 891944368, 862988358, 170540466, 969861920, 482270336, 791079692, 577119380, 908918704, 32082250, 641875440, 163527046, 679966980, 11763937, 640754868, 8258014, 498129533, 939304914, 420778900, 204482935, 361760433, 915698657, 447110693, 90005292, 151049943, 435081578, 834868844, 873093574, 288936286, 712945673, 348642412, 875713234, 99614747, 232462595, 524682314, 562103172, 876989413, 483269550, 999609699, 169830031, 713117376, 965697637, 20239571, 225758166, 903535883, 374079828, 253771625, 868818423, 541339087, 46942653, 409357230, 511376734, 691245812, 464279741, 514069645, 118678563, 158598711, 805950994, 139679048, 760245860, 444183, 821571781, 219788733, 775170490, 147018538, 456500815, 781400660, 278765722, 242784448, 529240759, 459762610, 87328849, 679979825, 106538133, 542046588, 74758521, 82653175, 154020037, 814313796, 885728863, 134250889, 400707306, 69012541, 740725445, 787215384, 324255418, 831269772, 350551019, 477333973, 976371196, 231444016, 665401895, 424003476, 73778677, 958532511, 623713776, 282379763, 488844712, 276865665, 828406296, 506177294, 394668715, 451148759, 794754040, 204641626, 683690922, 890962714, 744664964, 428532173, 615962344, 872583214, 182244238, 644692567, 504545728, 287676979, 463729129, 620048412, 692410111, 447092074, 931046600, 505715250, 41907491, 563274602, 845146003, 628171043, 328578123, 864180832, 618099785, 730264251, 814607000, 165853774, 185436173, 609533906, 692707255, 270736675, 29019359, 435497882, 655967911, 710672006, 616077275, 220730677, 377535116, 267627227, 611374490, 474087001, 790284767, 845225066, 923038372, 829463259, 204426960, 351569485, 947564201, 501920111, 961835301, 985051472, 580124237, 711637807, 843961731, 113936248, 933526727, 784190617, 905871788, 693592011, 941243778, 837510101, 844216780, 706794313, 920401188, 889083302, 64026971, 161670171, 601006344, 310648226, 260226635, 946882589, 520040788, 265202141, 464470970, 123445432, 94596385, 473632843, 198772038, 821681351, 226512127, 54151318, 650840644, 319756097, 681926872, 238441518, 461600469, 670269757, 964985891, 91173576, 19815433, 134526539, 916019356, 791709371, 911131257, 852095026, 432154215, 18795776, 36765767, 903941066, 230782634, 14485278, 685462709, 413231623, 157360440, 904202745, 185339885, 300384331, 178325625, 704937606, 306416028, 646681345, 712835004, 917761156, 360832415, 361813304, 332146855, 227320892, 987308335, 176353816, 841033537, 202971603, 33988533, 153988220, 742770943, 987901658, 512476690, 762345161, 517741626, 402708342, 327408797, 840568507, 935057889, 723913172, 665137809, 296724441, 711676104, 534899259, 245269356, 20466150, 837188529, 101027265, 787885177, 223006481, 959673520, 738606173, 206608367, 855973134, 204024839, 449220299, 249312034, 984953386, 194468865, 605319418, 652639866, 705031148, 436366908, 939401348, 976133584, 499780581, 325993926, 302626630, 508915681, 730245254, 10855096, 117564498, 358028272, 65706377, 733195896, 813052643, 179023695, 244898547, 510371782, 133176351, 646003779, 383461411, 477177968, 78971816, 198720150, 723935961, 256004754, 464702135, 612381065, 877696164, 224273695, 259840265, 789471016, 802730620, 304231569, 206873051, 428027609, 539339670, 532659459, 200447979, 163913108, 95999872, 880665755, 335611471, 556822603, 943446432, 845876775, 410743986, 277799891, 673275401, 353006731, 128073372, 571214183, 296219002, 267368169, 651799078, 760948274, 29918579, 117789741, 349610255, 918851194, 116903705, 920063679, 69430973, 882052704, 204207097, 672257556, 981661706, 57883684, 658150236, 348021039, 231074407, 209496169, 984693675, 907514560, 351813812, 583020688, 85715072, 762339238, 84021212, 198036193, 562143209, 296317778, 430470388, 60097471, 500004535, 350546737, 153843844, 5162870, 929602912, 497762452, 925812926, 854868191, 192153749, 504747170, 217711973, 458172402, 225778221, 595407557, 380260469, 596617299, 745432459, 795486718, 839075978, 156300902, 693333394, 381997715, 63374101, 94279717, 174366963, 310625195, 173889480, 854767337, 594229641, 243882919, 56748180, 672541334, 691896907, 21508322, 703407706, 752606219, 44475923, 872870919, 95680161, 785717086, 646556049, 503372333, 670494213, 223624782, 641547364, 846116001, 895362711, 129198008, 56494186, 93321223, 979766843, 779811242, 762698193, 206205300, 254698645, 995826742, 828901204, 164014293, 602798096, 684485452, 676241545, 375566612, 13741541, 533461482, 590781961, 746192714, 38570482, 626886055, 468401313, 216253320, 499658690, 411173234, 452885947, 833255196, 476103436, 857759466, 480324297, 672518813, 954279774, 575508521, 450234252, 686310950, 434630947, 449604567, 817410996, 391036102, 746577379, 735404594, 432329065, 722353206, 448231107, 426881862, 422013430, 648170724, 879372482, 540423409, 398686392, 414654241, 950490915, 350800691, 660528578, 623052166, 393852759, 655815078, 725383636, 606891047, 372821736, 127095834, 103745670, 817693365, 968030415, 869044305, 717288729, 339611649, 580584959, 266309627, 850433717, 575832531, 19909616, 889215460, 706783942, 874382670, 83631618, 376455699, 756829362, 701685073, 45860067, 702544542, 697943443, 537133654, 77559212, 245625181, 986532722, 809868992, 727421633, 176925806, 754086282, 726594002, 454140940, 416974818, 408023045, 460772075, 615198392, 533361006, 518140758, 17144931, 802365626, 923449252, 532920938, 376298069, 493486392, 757683207, 872120739, 880557660, 806614015, 87577539, 655270983, 772832340, 806752711, 616473969, 541966185, 803674710, 671260847, 31806718, 977599834, 718115430, 117741410, 310634690, 31260465, 220794242, 323699294, 606299787, 12451463, 349642080, 225627172, 494224432, 995920593, 578570587, 541325730, 607006767, 942873136, 653777872, 764898245, 685301382, 468595858, 296465279, 738742491, 256866872, 234632488, 518772213, 727059795, 36048654, 837263275, 672234638, 583537796, 284538590, 209736878, 907655008, 536930828, 463796715, 392898656, 143286259, 512161555, 164505205, 299654308, 629099174, 39025237, 599162100, 813765034, 632109916, 457490633, 637688106, 791386669, 515111128, 87091655, 581644586, 521555587, 928281895, 499276459, 671372076, 360940216, 904319375, 266275316, 162491200, 449754561, 90386962, 175878599, 62532370, 156718875, 138869011, 704796982, 161565104, 897513235, 360018352, 736621532, 925648584, 398970764, 343034136, 228124188, 695975888, 653920606, 723928403, 545179233, 354943304, 96899462, 539161102, 76774562, 848155736, 824009099, 79042692, 605125323, 387670201, 770161055, 848359847, 794200275, 151035011, 543079422, 827583484, 605813526, 54926168, 379125994, 452726874, 674643433, 235799421, 521388105, 892991124, 628571215, 491215354, 558070874, 37488656, 11434335, 642178394, 733636153, 835571704, 177179527, 545295526, 109193016, 597510512, 819786166, 783729396, 394110241, 398122918, 157315047, 233351415, 156759936, 198591553, 90696858, 523593450, 533590771, 744433408, 425612365, 464613551, 231680588, 965910490, 647234837, 106042149, 828299354, 522111046, 2469940, 283653736, 433036686, 817726229, 869896847, 568112837, 785459532, 346845126, 15397926, 486446761, 697112012, 467822622, 695222925, 585246468, 962983570, 733453084, 743365278, 213458637, 573508129, 65616807, 795717057, 622252640, 160650977, 656256515, 408703293, 313392453, 778351653, 250667734, 822549377, 16530247, 467378349, 774888868, 158360708, 479412723, 971818131, 593703772, 46291126, 2558779, 3228184, 978471398, 530339957, 920829925, 35017471, 256630908, 52704956, 883690039, 583368899, 453523934, 846408854, 197217373, 853452421, 810141282, 441347032, 756168543, 31154015, 211944515, 156415743, 733046031, 566943074, 102320811, 234990582, 585471199, 95836413, 143442908, 429799179, 541590241, 9669593, 241286746, 507735921, 311941628, 503881128, 941084556, 293879435, 761661097, 664112573, 846038725, 301889514, 714610667, 898731997, 897206231, 246280890, 975055014, 205101102, 621911861, 175845448, 145828544, 78377609, 279771640, 792452251, 564075561, 448884020, 414466901, 312765262, 583203850, 734998825, 29477951, 134146871, 513988661, 866806726, 769587021, 695975301, 874303028, 23668097, 186419191, 347309189, 598347435, 538736184, 192090556, 360378836, 91337668, 601013277, 741518938, 505414431, 381489917, 804808785, 127411285, 394917322, 430194671, 799681715, 290507930, 143013368, 133732367, 8181551, 123280320, 32820614, 454525438, 532904873, 872354131, 546122045, 61803641, 369154955, 692841022, 400483069, 976854131, 728122161, 754083376, 349250425, 482583982, 988201272, 760387406, 88113192, 619484530, 883445421, 348770543, 888627075, 181550778, 564271207, 421721432, 399162427, 826214130, 129036003, 69710486, 972277669, 862450297, 855630877, 602973476, 572368955, 270146316, 880407106, 739145102, 619815685, 325005011, 503950437, 506447594, 983446286, 298549562, 899168486, 382286278, 900748382, 345708495, 357798383, 777728590, 17108229, 583820289, 474900826, 93968957, 308974662, 248902693, 545398954, 34478476, 886520842, 686565172, 740473189, 237073353, 795289459, 26960251, 807461566, 482631557, 858100702, 22324038, 924198463, 934759844, 478106299, 473122790, 158057599, 296891234, 125952218, 887875777, 633403511, 717867609, 792215481, 82940337, 484384971, 451417431, 640020668, 293157053, 360099952, 979271387, 80279947, 712171932, 299883613, 81220602, 445998107, 880634770, 547820208, 879656103, 500428543, 939192689, 193106141, 750026716, 56125957, 534500560, 615359392, 948553787, 738719150, 691833572, 749926490, 133969289, 159939301, 106604119, 285729824, 701872110, 597122627, 62325443, 303301146, 592718344, 6744491, 985816055, 113618367, 524537496, 781468138, 896823381, 292838920, 374419958, 471555855, 677886680, 459131942, 219778735, 883291579, 446899661, 638798411, 445158339, 267090132, 851736777, 393093579, 864275650, 706520854, 526803940, 563112259, 265327338, 318871059, 241461398, 582044374, 69015060, 994804516, 301278941, 777151024, 381024395, 340263783, 525235406, 636680333, 636886117, 934518113, 137186923, 49900761, 79317545, 363070987, 736017769, 541669152, 834549908, 655634101, 43689533, 488556352, 846661743, 581610257, 492440007, 259656371, 69687482, 244222736, 493752527, 871115665, 357508250, 461142929, 129731047, 348124999, 768318297, 969663737, 533803618, 824244744, 738672072, 162024191, 732465172, 977647920, 161270837, 353385850, 876252026, 726037822, 40391381, 706436649, 940593782, 555213490, 226617543, 492787311, 500362154, 915133167, 33728553, 971822948, 668278397, 760978683, 132768472, 299903243, 238323055, 318478598, 286745300, 485430946, 717954039, 892421576, 570264864, 558757904, 338452072, 463029786, 675810341, 391340686, 21656789, 834333949, 941586056, 843434526, 641223367, 875950660, 389079973, 404152651, 375326771, 729484622, 688349326, 913192695, 80685989, 56765421, 860292112, 304016101, 553108086, 892240581, 673239024, 172609026, 74033588, 612904827, 180467526, 606685997, 886978836, 958757568, 456054058, 681436707, 244410377, 484070934, 449349627, 402286284, 680104516, 623921198, 49763657, 684860217, 17865000, 368019477, 740884351, 79585503, 344869439, 274375640, 588836884, 194688716, 354825530, 630903398, 247498336, 690326432, 184849708, 771651982, 761705307, 353227566, 809911976, 574097937, 179178601, 959062006, 990206177, 267717471, 320646780, 848047033, 574950047, 286567244, 832678160, 898742207, 718194247, 207440483, 998583962, 296380298, 987324494, 47726452, 945634488, 474498761, 228863936, 782777129, 542556405, 224856954, 251988130, 400348212, 227200346, 588745512, 365259745, 946189068, 918268223, 970097944, 545085833, 586490744, 662118266, 463206184, 791398510, 108833047, 981073050, 387511522, 243348159, 919442465, 614270806, 325816923, 856367979, 205023916, 488517693, 856005978, 323394994, 569334202, 979325140, 978519092, 391915458, 761701549, 7317908, 134255887, 235332414, 991334722, 918060120, 696949913, 633509854, 949030564, 896937961, 3072426, 527994237, 861012625, 849867528, 221276797, 700831049, 69813203, 924740282, 449739409, 123762709, 687433664, 566014931, 132428474, 785267444, 884320381, 218308376, 998518791, 210202194, 48144614, 388100773, 567449814, 398337394, 575923164, 834187212, 314041857, 85100080, 136970524, 112671441, 995405516, 788909937, 231029797, 951629087, 831733892, 102802741, 749977653, 1117214, 567823917, 468355617, 961704816, 706498861, 565089136, 160811356, 981174472, 278867507, 107181784, 254161462, 330571095, 818422061, 131914777, 354429468, 805668349, 853357855, 839401858, 225167305, 166782432, 998406030, 881252802, 57177963, 861986599, 141253215, 8015602, 937280598, 817875775, 360842600, 88132222, 930975881, 289053227, 769428708, 740697874, 709287585, 132397315, 896105718, 677612343, 679691478, 155892471, 980791118, 228498798, 450687830, 751619101, 521951615, 483092269, 954460478, 111264109, 889680184, 967751960, 238958053, 577575187, 23685008, 940063529, 237573213, 444408211, 646341739, 501254755, 118016000, 665196896, 254361607, 826008236, 130537092, 30617564, 704621590, 94070945, 612769975, 437896635, 272958949, 378672941, 551413092, 747391335, 788355116, 747109824, 332543117, 904883656, 538643515, 42778332, 611432435, 169994279, 979035204, 878764784, 879473977, 571059375, 329657200, 952712757, 287731052, 74867181, 512458274, 107972316, 159191484, 228091854, 710924495, 242627319, 993606189, 265039965, 850807780, 62933954, 932664845, 574330321, 463718211, 990516275, 935102163, 824790405, 311616201, 788107165, 404914161, 893405147, 159474655, 659763679, 195337605, 509318030, 309894317, 851487609, 669670726, 439161718, 691024134, 163051202, 489366260, 980804984, 768013979, 701743824, 855043125, 952533963, 153842557, 684426219, 72471576, 773272209, 404157363, 166135784, 596856531, 929363057, 793834811, 897485147, 952914932, 187334321, 733832579, 668272672, 106182340, 583150851, 138328754, 305759748, 566642741, 730556549, 509351483, 803254536, 220578456, 341377858, 453167665, 971297743, 400840472, 746940340, 482857653, 290055497, 927067145, 81157907, 477214334, 171703950, 329168519, 944653665, 669645412, 532415318, 363582766, 788587703, 644206213, 36107871, 515154681, 100602372, 396889730, 133669903, 61923040, 568057788, 69602192, 880904659, 482362943, 571670956, 739667709, 215172563, 771915180, 15622173, 464165959, 317955376, 978351080, 347862425, 435897468, 382268707, 490269231, 634460800, 28019778, 832279348, 299911338, 632768139, 156303520, 462148974, 658416121, 68529168, 695482069, 276327205, 167604013, 184952202, 897966389, 774325815, 520643202, 154931996, 138568481, 685963546, 310674812, 360608209, 326759696, 798400676, 836943916, 831217555, 641203505, 467703036, 746795325, 782430403, 320139072, 235599787, 521206309, 793342272, 420703806, 368103478, 156481047, 478501687, 334856688, 695734792, 914355492, 835733377, 250601256, 706667716, 888505801, 777556331, 55153110, 654767896, 768877266, 864538283, 510812069, 758206537, 360476091, 239184741, 668102428, 434414460, 531378825, 698589528, 661223436, 118397733, 512597367, 530726269, 309866029, 666845349, 427191538, 569679518, 910634891, 677907206, 1353047, 356816655, 12170654, 105820036, 717906969, 676210436, 699077655, 266172784, 834858361, 200569310, 134109523, 876431465, 189159732, 573629775, 811192688, 621158633, 800946173, 989345722, 40084964, 986280267, 316004723, 55277116, 810687020, 156407661, 885776864, 503288117, 989104387, 114502761, 981683157, 571368354, 122556604, 525448723, 472735322, 944647190, 650762279, 18316721, 201609956, 781584321, 37503642, 34721467, 707984845, 325667144, 353819276, 564366453, 966004294, 537952324, 417677685, 88564418, 960896863, 78219662, 296181568, 576405235, 440089300, 817556677, 239606243, 844934758, 181770281, 943975393, 179344178, 961131817, 681095930, 170040171, 364545678, 148639265, 833310415, 491481732, 998650741, 288485065, 870725293, 288095598, 167449433, 376563971, 292880715, 395466594, 614134383, 132134549, 541380166, 124873559, 684949737, 327982407, 415626210, 306952272, 382618251, 882396515, 176655992, 537873331, 273118588, 219022107, 702516166, 431635185, 690169978, 642759211, 414957550, 699648235, 488116276, 457797100, 290318995, 521743592, 483675035, 280172905, 71581430, 517590201, 253135660, 596239547, 928454188, 768528509, 237342074, 269109689, 81692367, 162524064, 933879764, 481734900, 785767693, 378712802, 976565252, 30726929, 342574464, 210279903, 880643208, 401721512, 708335086, 677947954, 856958228, 291363410, 844420955, 545720364, 958004021, 543849623, 431070505, 11408528, 587155159, 627223100, 941719836, 589169004, 395903031, 816883159, 898154390, 765049873, 455117068, 609918090, 317936732, 675485794, 294008353, 337832830, 16332535, 390006550, 890492137, 649310098, 941593342, 909640943, 456533246, 13524209, 518842673, 188237039, 362462282, 544312878, 863270727, 862516644, 590993450, 706563399, 868082289, 675349860, 176589952, 863454767, 471727462, 636001388, 757707612, 418517216, 552814977, 701084988, 579901691, 1657188, 375653121, 388336640, 901988186, 271811990, 255799313, 238419681, 976119911, 638921731, 14565447, 476372879, 814275530, 456213660, 802057810, 565899079, 942061687, 18026508, 30012548, 7616092, 385642768, 74753039, 963422517, 162570061, 889667136, 982132217, 272585372, 488785112, 658076780, 916292889, 242289142, 444842515, 892462148, 209959286, 727433864, 414004504, 8512523, 418141306, 153074839, 445674399, 817329023, 847887231, 72970020, 393097587, 16222175, 619462409, 510363825, 455375158, 676932399, 730809251, 531026065, 82447576, 996431185, 441880526, 871831954, 50018250, 126408566, 28162193, 167093290, 710409230, 568802278, 676572418, 395799696, 30700446, 975700260, 689021265, 288839718, 376652836, 539649829, 548655468, 715634756, 709136707, 771522628, 895261236, 78750778, 666029298, 22164963, 619921957, 91010246, 237592109, 377579635, 804094879, 984764683, 251609394, 408639500, 168435455, 566841799, 280864452, 515448934, 43035610, 594516496, 50656945, 721157675, 437881285, 958439999, 433941986, 392227925, 624490385, 534906661, 513069413, 587412894, 993452444, 925228805, 106473241, 613982284, 880655731, 628270250, 989812015, 798696341, 757860605, 793879892, 7492385, 349080525, 621229026, 130035162, 241601699, 927952119, 883773772, 544088049, 299779606, 537745145, 151795170, 80196093, 848393464, 276594882, 823772600, 45762979, 633826077, 415582216, 36788505, 939323917, 179629240, 874523852, 351996216, 291817691, 302334683, 581878483, 739569579, 180999125, 935808360, 981062909, 57446029, 226756825, 724458242, 966214363, 749799704, 714529170, 584735379, 640938149, 607588359, 469490237, 161174359, 387547639, 256846636, 339801875, 489192617, 814169214, 636429426, 941092022, 482128443, 826514248, 114294458, 775053648, 907828094, 117157503, 707547334, 359456109, 661522131, 529693990, 333426869, 317335569, 820471850, 691543020, 464468813, 231031143, 309063955, 295910171, 943400615, 570924218, 166020375, 243176684, 870178670, 133039349, 789596782, 803325052, 550343882, 706852511, 413126365, 632653582, 678818396, 891721080, 883072010, 616145086, 992996560, 539541052, 331201217, 792080153, 787966396, 679568340, 749211753, 947881643, 604652055, 480974040, 504113582, 431494716, 813078200, 935555300, 940315135, 727166638, 757088521, 660567844, 910999608, 565643350, 961945360, 289464253, 849551674, 359850088, 652739145, 370494472, 654253493, 968423503, 53779160, 321566851, 939443906, 985565154, 811128748, 270047557, 433256792, 106808350, 366209971, 857275671, 666322881, 99237376, 792884797, 406768440, 90783719, 965204751, 519675024, 181153463, 107105426, 92239694, 428410640, 883135127, 315533361, 56814583, 138112039, 443616238, 480018993, 878332899, 649635881, 58249294, 237455521, 245029057, 135478917, 47471195, 904905360, 103112590, 564009463, 524346087, 768890894, 867444058, 196280733, 566893493, 603892522, 901450379, 512504061, 750033590, 358629892, 780891769, 120275273, 260321229, 698499500, 33290807, 105395915, 515706441, 529578953, 713094272, 826700746, 962382009, 442788772, 367902793, 591730369, 707569869, 215229806, 300506507, 818200955, 230537364, 32141207, 541083843, 266089531, 116914158, 575623823, 442808438, 482960501, 197150512, 27323596, 549768515, 142160762, 818657669, 89502517, 532608560, 210805743, 686334450, 990940555, 402336223, 660081294, 281485435, 908603095, 339887374, 455647316, 359968292, 361243919, 486154734, 628614921, 102963475, 987537865, 153636456, 875650457, 540119006, 928207135, 471852502, 606915555, 230370312, 338737999, 466617988, 633855192, 611335239, 873579202, 975986278, 798155897, 176277888, 63347062, 516514153, 87463239, 295666810, 194706100, 425253384, 848477143, 922581045, 993090519, 293926533, 192007018, 875367840, 96188932, 181222246, 68648957, 513705774, 700423436, 580288714, 799875265, 751092257, 31361802, 732259752, 486701122, 22060856, 120733592, 373839697, 993415521, 303097028, 712122173, 641724796, 540421856, 345661285, 909112592, 213368079, 201577626, 111635810, 29574019, 781723274, 885043482, 389647485, 759008276, 856600109, 44386974, 676535525, 96880054, 713573080, 364200365, 432955395, 988106045, 198798314, 996122219, 715294196, 108453506, 137531542, 481839910, 753644315, 62117585, 238889327, 425084964, 771147250, 535138197, 152252751, 811582366, 822381568, 903012588, 348304745, 436787079, 818265690, 580718791, 933181979, 312663881, 899661324, 919012158, 104193774, 217424310, 674702425, 243239248, 667548350, 721117435, 477189979, 627792528, 851895739, 880780400, 568862894, 580416463, 647628214, 975787460, 183476244, 258651403, 19875284, 512211074, 290372411, 716058700, 849803107, 494690368, 30970634, 513257249, 215524131, 787500294, 425215919, 949518730, 105953907, 23137188, 561536791, 724153002, 575379348, 622735652, 8002363, 657438093, 893818636, 523353333, 798426396, 300080924, 945009196, 977173311, 406954176, 219429825, 313621544, 112385730, 32554711, 992034844, 737978755, 497009041, 859816036, 520423280, 896401840, 238961591, 640662030, 945271521, 646947271, 296325082, 401380731, 148597473, 210964288, 568305145, 790296591, 968869725, 828713031, 544826190, 401155681, 658575659, 933435793, 151592780, 910160919, 291729351, 37627663, 60394241, 758928351, 963958128, 688406179, 630003799, 292120275, 961987590, 780011689, 149420699, 70508778, 151170219, 251691212, 497030316, 817212177, 848586395, 378530675, 161500872, 925851616, 301156659, 682492689, 393283465, 293072395, 593062264, 832976577, 830126687, 694413773, 387315572, 189069478, 834140019, 909331535, 912433663, 823682875, 219238203, 959412534, 244878429, 180814329, 513897313, 459032545, 15474310, 290536038, 951495861, 815051933, 690230564, 43271729, 170240404, 729938476, 278364788, 557125204, 323060300, 3408960, 738426466, 605672759, 115318261, 420332948, 221705021, 112705091, 35282615, 323106684, 750193017, 643531883, 220117998, 16176953, 883305015, 289718864, 211636765, 359772645, 625126319, 501887634, 559252266, 927815796, 550980093, 100629283, 540717079, 95924642, 589675445, 596585536, 70303784, 824564124, 465688997, 400500665, 381167249, 331617975, 410285032, 256160174, 160554478, 933246785, 622274762, 793400961, 120049546, 167771467, 454951962, 609050902, 839733263, 697050474, 25300849, 992892849, 999313956, 447855688, 587492879, 559589683, 364565575, 751333643, 49914274, 834142560, 159075775, 500939772, 548686970, 65832371, 367654627, 37696907, 976830166, 379134519, 519476863, 946748180, 534776218, 855771030, 921687030, 22201687, 865872768, 710851841, 925234304, 860286128, 174111606, 229261374, 41209901, 6178635, 309642676, 992024715, 294714155, 538602426, 195672691, 150769986, 455960147, 930663702, 646707292, 482150906, 639720370, 975169846, 163825658, 616468153, 397363126, 417962549, 377053510, 91109704, 71019740, 374398639, 610962604, 70816934, 416227388, 601890309, 680665673, 984941452, 602530397, 456023575, 67148831, 907307001, 852763935, 193776358, 338021445, 988224853, 996004752, 103525552, 718953861, 693578576, 887087224, 456900770, 810093553, 736983622, 303857749, 436250712, 363792188, 871889533, 387285266, 7777518, 371393610, 761538749, 291742070, 536653956, 980296166, 80239158, 334071385, 636033044, 390730923, 49362564, 122382823, 294775472, 841966700, 602366772, 625323120, 821097218, 998900132, 813445637, 152698458, 198782494, 802787696, 612682549, 122249717, 422739745, 43786716, 716489887, 932233963, 320232251, 947532398, 105064326, 537013871, 803845880, 648777857, 720023084, 377738458, 297868125, 308794386, 383709053, 952839378, 159384982, 116794368, 355315547, 348752175, 896983097, 821370765, 3784808, 733885916, 214792102, 910698225, 674303649, 672362452, 434154159, 453999252, 424589265, 109528737, 420834920, 692767295, 757282418, 425683478, 554323792, 708422076, 196885550, 268884053, 316900091, 169539609, 547331447, 594569026, 636608586, 174917861, 967501482, 125318250, 416396636, 394964459, 90986633, 483666125, 496373247, 888095511, 109979007, 357283255, 421661131, 760269030, 190842563, 562954767, 919940832, 421097497, 63773814, 622026111, 179865880, 928893181, 951684043, 775311716, 682300438, 773160911, 402738977, 105222257, 26548885, 235943130, 545475664, 135600213, 91550808, 613855, 812106429, 796933038, 566657205, 814211623, 152315147, 41156437, 408612413, 456315162, 906230924, 176170508, 915998444, 225974809, 519810622, 903089250, 451002814, 492252300, 78941172, 618398976, 288163103, 921199248, 917163621, 538280150, 965010093, 968576760, 242440302, 705593839, 944678008, 26296029, 87899320, 785609157, 997216269, 620658665, 785436748, 30635577, 907298350, 976338500, 789216033, 534631831, 121707133, 621890833, 174297568, 927631386, 226762738, 105292699, 228603250, 419698591, 882865225, 899710501, 627547781, 486694638, 821973500, 391653378, 726591058, 529119713, 485383406, 559102127, 399627398, 244142219, 673947199, 901758617, 713062407, 823075020, 455091625, 834052821, 541694138, 588488732, 473817183, 783349167, 871909633, 9571279, 969133532, 929913573, 499940456, 546333121, 823917435, 420388000, 841240144, 19565454, 605001346, 767293813, 851434475, 9453559, 748750941, 861445748, 703011773, 34488766, 460902152, 261215764, 784602513, 597900415, 419654787, 128875984, 160131590, 717712377, 56220589, 336078316, 593180566, 380032776, 495254473, 34031030, 869296805, 595805085, 400311494, 329073877, 837014305, 26415242, 135563303, 180711741, 398408180, 58104009, 325694104, 207974761, 436312005, 258769252, 859393177, 516932521, 193706325, 574763339, 694906510, 191037349, 660777544, 933224382, 659440571, 333093695, 710328286, 894602657, 511055460, 504469738, 742362820, 206877476, 197983682, 597177387, 289996409, 131786151, 911059318, 127856666, 804534936, 767586021, 164356394, 273983566, 174872921, 510723647, 592915933, 720454856, 111699111, 540308073, 573349462, 729916880, 141422586, 721229118, 987554466, 531981885, 791888374, 382081083, 750920223, 424572571, 261493165, 515142511, 942729810, 979818030, 757030121, 19701367, 999354683, 187967299, 382527809, 225644678, 13692285, 461452553, 618315205, 667946139, 975373265, 22569379, 263683376, 973100361, 844899495, 893683432, 266026407, 19899580, 212785691, 204904722, 909252856, 201106623, 851100174, 327518484, 87487074, 720687907, 895918813, 389206705, 366568068, 304934860, 16829079, 810509866, 937305323, 746331024, 310762423, 214872398, 209104580, 196262441, 410779262, 566117950, 336789814, 517413850, 737626109, 971300575, 523823386, 98599637, 949612225, 393533198, 132013638, 362812488, 428941294, 385050704, 890924810, 700041411, 317267765, 393381875, 273954056, 393047128, 706617234, 941440214, 137713000, 955986814, 217590386, 179682768, 82252365, 650826015, 225263170, 840691803, 495679928, 193577970, 255361643, 892021169, 923386873, 762090147, 912857627, 934867514, 843550769, 754516061, 564366842, 266873677, 120551078, 391500180, 789372143, 488879848, 234778957, 472328396, 444013222, 157562691, 295563766, 145127422, 539865128, 735236176, 325407597, 836757965, 602321970, 751153493, 653443633, 754205890, 361355359, 374397477, 474533339, 91547556, 721900733, 47293697, 188805118, 175153161, 594463271, 94889160, 245755311, 401103166, 862934641, 123226825, 205177353, 298761428, 138225830, 50287135, 446530577, 788930187, 888648625, 341961655, 91455938, 454292192, 196186771, 170257127, 803962441, 83314645, 734483576, 589069268, 434161352, 583284721, 830469751, 40260858, 492512329, 238438721, 656988421, 292048821, 146285058, 664637663, 92545315, 679213501, 229051694, 957321480, 982631174, 925208831, 271512500, 523932260, 94069570, 897408191, 616698973, 182595132, 416153850, 265457690, 921327746, 378630280, 368371961, 834901900, 935830607, 101437912, 603468588, 437119400, 972072106, 4293052, 577491523, 671178374, 425484301, 544359538, 539463524, 386494403, 432006199, 850802308, 815576277, 70944196, 776793504, 127133956, 231679397, 458693319, 69232014, 646197188, 745190017, 593621002, 543875909, 553607170, 241184105, 7574210, 12649035, 486540634, 804409384, 117414845, 87727512, 303950562, 757290060, 356234318, 949480864, 631981937, 969035737, 584737430, 445935375, 450243227, 982338537, 853145588, 37696692, 884062650, 708987973, 399179763, 436303405, 79423889, 654373527, 143944884, 489891385, 119980270, 503335954, 23282136, 375781591, 45128008, 820025737, 820027669, 939242258, 972039090, 349180897, 537771654, 372022189, 216841522, 738588817, 831069965, 657639468, 234632059, 925889962, 861629584, 71271112, 429345742, 664070004, 691878380, 737691706, 157704079, 513109455, 605382893, 834032802, 747228818, 357885502, 328187276, 618868006, 48868652, 754050745, 831580162, 397204041, 180762015, 514330405, 23763580, 996520820, 170854224, 868456143, 926294048, 52948941, 773725795, 232798967, 597019274, 765525423, 663085701, 31341860, 914619380, 80633296, 117359842, 765510442, 75009314, 968130411, 811859777, 9201382, 542789848, 336823988, 972416534, 403938119, 502826142, 692923313, 59307404, 624895466, 550841016, 893293828, 268776634, 429271238, 102176989, 340694694, 977618186, 614126917, 551004741, 968360746, 135048096, 831711390, 213193783, 578807921, 363759187, 949757445, 985948364, 316520942, 569884202, 586004003, 377368532, 308323562, 584422845, 383104707, 970673962, 720346370, 461627482, 54936076, 480713241, 999703691, 143373077, 153300944, 881944866, 568337532, 506054981, 61271871, 387000736, 145703661, 860295298, 999835690, 510615694, 76563435, 447348600, 542651107, 312504333, 476461471, 574513593, 537673229, 911313413, 739918496, 462071764, 364209847, 107377823, 362112061, 396234413, 954247802, 54893402, 249343232, 520234613, 966777782, 51759673, 947412900, 29423591, 176975187, 720867304, 945119953, 422419107, 149533811, 266308964, 968089487, 440480474, 710755509, 953642052, 389268144, 257131851, 564483486, 114528947, 768396179, 524324541, 984382919, 335503421, 46850093, 365742746, 731503795, 519001093, 553399948, 605267111, 71652307, 945129887, 703935223, 218518705, 804976348, 296231131, 66528468, 114108608, 539318565, 207316950, 613627424, 620219147, 113433563, 937283583, 416392401, 974731222, 159189201, 985324841, 812500684, 324245623, 609085459, 668202776, 66066614, 264281310, 495828046, 857558116, 863599912, 657346588, 746818425, 972151277, 976528831, 319309381, 931932019, 481440087, 472283044, 898698870, 17669710, 613529290, 279439819, 996179445, 476693561, 305643113, 538953106, 324070794, 385594448, 766583235, 248147907, 975984376, 412309986, 183880618, 250425263, 647370362, 633127652, 686323380, 661752677, 453813502, 64654642, 468987080, 233539897, 902976488, 359434182, 509884978, 843223323, 711455470, 246010004, 774174351, 131962624, 728871248, 72540501, 82868203, 730649883, 598563549, 751579824, 867000765, 288213956, 133682867, 9470412, 376984477, 934722240, 359928093, 71559917, 209806562, 66958133, 87167664, 811470411, 425187979, 355048349, 130116851, 80648277, 673636755, 715161457, 398586621, 591958173, 858919910, 662349493, 737734315, 537406078, 638873646, 714344856, 279960686, 550881399, 829617117, 474618016, 542005131, 588750483, 482274686, 754645711, 954494106, 632428228, 163590411, 83948525, 596189409, 351304613, 598078136, 546975281, 868303361, 131947622, 493623899, 520954018, 587752554, 496932600, 734199903, 16886643, 598146284, 278904507, 78816436, 934491006, 296249598, 150171923, 853175452, 55854347, 989469782, 577054733, 129291488, 227465155, 555177200, 906462762, 162224183, 269482008, 130412147, 211885050, 168862533, 51889106, 620270408, 503576354, 232482042, 361222834, 310341817, 260431350, 51464046, 342893030, 926111512, 546109431, 651573368, 29101600, 64119475, 849863149, 390107607, 456635217, 441258071, 784112276, 680917517, 249246950, 752763510, 718438880, 897407960, 765166555, 936037986, 833486183, 838460404, 967490533, 363859117, 419233314, 805519137, 722171177, 453534760, 927844976, 65987679, 794672750, 309627764, 588690968, 196045552, 848534308, 411713633, 561505038, 16037435, 456054443, 202611801, 500786060, 223133517, 805823459, 961248620, 18187503, 660489309, 842499027, 734430365, 824189968, 57866462, 381860410, 43218280, 944382062, 531548701, 670345410, 391036191, 443781716, 586349495, 583416095, 82889267, 116708340, 533126355, 697020802, 22022437, 7458104, 558422274, 126709934, 31421028, 766831422, 116089188, 697613468, 596494655, 981407553, 809250028, 319644579, 802719595, 887560018, 330852683, 545465175, 583290027, 318093246, 902466142, 282022854, 863812858, 216565239, 456368800, 891980124, 854393271, 992407700, 311850005, 838830312, 73840954, 595919312, 904701332, 644970715, 92038373, 768902538, 571847250, 974194827, 162576192, 498623217, 968379826, 759096323, 261368968, 482213634, 860971817, 371019433, 100663536, 610199004, 276802798, 917041128, 381062984, 950195767, 726049338, 886451591, 103900473, 362491735, 358392281, 165101235, 197827286, 638804388, 399714138, 916845126, 467731770, 453569183, 988093030, 276945325, 589187470, 320006638, 50705137, 501947987, 105661090, 917695865, 706058914, 500496391, 591650350, 451720252, 569665773, 86259026, 809639852, 862519815, 54809845, 87551005, 203183764, 655027807, 74696771, 394796445, 458721247, 11224217, 195893828, 232642138, 972514039, 590573004, 125767976, 3854875, 112542807, 461165146, 768105777, 167108202, 534350304, 81746573, 708397460, 765896163, 211769581, 379548951, 766291094, 859576056, 220634782, 481950927, 201047193, 906830070, 8920551, 159536625, 323796434, 701178082, 968277410, 158734162, 995274604, 985772351, 851754787, 677067486, 342501148, 427818736, 987233651, 346588298, 190247203, 200338169, 679510221, 888687573, 917865697, 866204750, 690559812, 265657660, 906518146, 418251138, 129887856, 35122017, 379297359, 567306290, 561226791, 829185296, 431506921, 595973792, 30367955, 794874337, 561740925, 814577055, 396592267, 214686118, 876107986, 149336141, 784608991, 883763092, 929563296, 18600289, 942975775, 926152448, 880742860, 168723244, 680029430, 115379128, 261888232, 919957012, 62622424, 726562426, 639651320, 198379926, 792661358, 378350899, 611083939, 876994827, 221788063, 991678869, 248491701, 505772123, 898863649, 140648934, 662661734, 379788546, 553465001, 531462977, 117827494, 222633928, 181607996, 406258422, 203955494, 45365876, 948706533, 114336646, 748745882, 854774114, 671449080, 255968560, 629891256, 981522539, 474419934, 283187877, 236674093, 817196739, 431493922, 791477226, 384645606, 571268470, 914896069, 70844146, 928229504, 811911038, 923530808, 107896933, 269791500, 262091862, 879418318, 996169887, 576682604, 990533756, 520414986, 4402877, 814800969, 788057177, 790506614, 646912151, 882778185, 907597905, 961634489, 502359443, 828438954, 495233243, 627704198, 133015727, 138904920, 759586314, 179806868, 988142163, 812321403, 456964577, 754160947, 65864228, 645227478, 524938879, 551309265, 823340630, 948807910, 288670696, 460686906, 922611282, 198731262, 204187301, 81322258, 510906694, 615889690, 810947002, 436058862, 599407431, 592491637, 990267795, 92693605, 461540960, 573024023, 888405528, 816527608, 585932129, 443944724, 572564443, 793571708, 132730973, 708514726, 113621602, 950836933, 884458968, 409473677, 538445758, 271151543, 851016209, 554961809, 231413480, 672791642, 191442804, 605411792, 626421475, 216106340, 595352205, 959268076, 550569565, 486314575, 111933674, 730581916, 659164685, 502546235, 567533237, 982475899, 301094228, 107546226, 4340079, 766860415, 844796830, 630350725, 357554218, 243012467, 988534448, 959997993, 229342974, 935849681, 803136006, 320885289, 111663027, 189206895, 204545863, 985833412, 331893995, 611813248, 606500868, 908688140, 520930866, 995278456, 715284226, 284102393, 548262152, 435234384, 157948656, 58135154, 606252018, 775978589, 528300451, 95102029, 924719734, 149423935, 568316249, 480239207, 533446461, 511804628, 516102828, 829905468, 216181961, 602447591, 954786080, 319141107, 773107943, 371699665, 827528933, 149326382, 863403554, 86643841, 272988086, 441035844, 727985690, 11767993, 531226227, 244468916, 959038750, 780168238, 7662979, 245815814, 407673508, 325400665, 904051112, 681124225, 109036733, 818525149, 443204513, 454876798, 709254660, 450129776, 462532843, 397050699, 147089689, 615422381, 575047869, 613976564, 247607139, 103545660, 283772020, 365957947, 416175337, 552659309, 323349501, 638823338, 405600180, 887296816, 170020470, 546088027, 423424615, 434413357, 487899076, 792137063, 749082894, 653519921, 600344473, 876854506, 484002284, 440746931, 570958527, 837271054, 188348645, 428197684, 800734864, 39561443, 255738938, 871074482, 478115204, 303308416, 80556302, 377977356, 964061967, 752974708, 565489464, 621314862, 647407440, 180254426, 759117311, 352357561, 863381189, 426504581, 489748551, 205881135, 695188265, 434823991, 45522645, 208828776, 19697144, 533401403, 627589296, 815009975, 359181282, 590385085, 82381564, 968945316, 230093798, 539984649, 89259097, 960617925, 702911473, 316459209, 399770410, 898941377, 41793969, 770669523, 292423691, 162720800, 428978585, 426481288, 268337496, 294440331, 111612341, 863369262, 626851177, 398543708, 968176016, 237174674, 439904483, 259585892, 5140761, 309303741, 745647630, 576904609, 974893447, 19274581, 767065312, 86281886, 157126137, 697430619, 872559626, 953865059, 786727333, 81827700, 823533299, 734339144, 34442404, 44571558, 470325047, 185864392, 194524362, 657990328, 912989062, 178966586, 327822690, 129979977, 784107795, 695322750, 132047462, 577284535, 350838352, 532281016, 517965294, 843301947, 427332173, 107636827, 59520956, 646447689, 52677900, 421597711, 913930259, 583882651, 903673190, 315314383, 408274447, 85738071, 1922619, 90131946, 839485608, 217751311, 151579775, 399582540, 237626928, 454863827, 142119925, 88204220, 360238524, 208563901, 781322569, 495459580, 394503044, 601582786, 650193065, 272057133, 628393477, 403747104, 670906903, 937080958, 583067833, 433510269, 768335785, 43887513, 819562216, 347217970, 606401489, 563758396, 285699898, 885023435, 617158397, 472285793, 3766002, 399590917, 681534594, 402692289, 401136525, 542266584, 890357948, 775642291, 660250793, 818326200, 217925902, 19185214, 848794061, 698652348, 845434457, 81446839, 967268903, 187234970, 152784613, 594811286, 65111715, 369289910, 911034128, 436489190, 735013164, 402830751, 67585349, 935637749, 784291978, 835166602, 388938700, 719913379, 195887834, 892881077, 973592435, 31563508, 727710847, 69985215, 183783947, 144334682, 697699696, 77458593, 678980904, 78170669, 244038315, 739500498, 949067401, 67684867, 370107146, 883247053, 690011254, 43616646, 821387304, 272505701, 855547940, 925374369, 414029148, 295351252, 816176911, 783475067, 177438753, 637929881, 860291895, 552469634, 239997453, 148689540, 340137285, 552133406, 486928153, 748695617, 911770413, 553029201, 779510176, 641695935, 930353637, 589302909, 260298685, 227598089, 544836779, 800788537, 874515653, 137967319, 683127109, 69553547, 428255654, 297871722, 875068743, 19356841, 358309172, 861592679, 544715022, 208502229, 20877687, 768236286, 519367575, 643272158, 986792335, 47663498, 349574242, 106853276, 909254988, 350443223, 446041417, 627767716, 439071015, 334739966, 863177343, 661645594, 400467834, 636585569, 533554868, 451168356, 106067452, 324584349, 411378367, 828753585, 912666092, 676406646, 199040739, 652094042, 784775007, 460494937, 621083256, 484437569, 116318323, 318823965, 994208976, 110434485, 588901821, 516556662, 77894907, 54530593, 701755787, 891303431, 886758146, 494030927, 688333645, 12499359, 483625558, 544304838, 438376247, 318197683, 254420156, 519680360, 39457032, 255784404, 218984050, 434840983, 998133249, 497583048, 5774127, 270683617, 88188894, 276599180, 727202502, 270109310, 142018876, 713543974, 534840480, 594163248, 104005828, 634882329, 282195701, 775983667, 492419708, 414848981, 557149224, 325862841, 855885436, 218539009, 7647437, 339493683, 685804392, 398085306, 400870996, 20977994, 358517923, 850656181, 905600340, 390197579, 949806584, 479408345, 866284436, 308054113, 211852099, 472385818, 846255070, 472346416, 357898478, 335940240, 343081180, 198745424, 12251544, 842099639, 76267709, 175376799, 941613813, 426989434, 413996659, 231582218, 914689555, 135927717, 775244846, 739319742, 288464357, 904373812, 253725181, 716261074, 891136927, 731290386, 219798960, 20325298, 501623475, 30093643, 18104533, 595834479, 557113869, 277357545, 351999219, 689293795, 343004364, 220709015, 212810615, 35711355, 879984789, 296675943, 653942756, 980124288, 79631509, 466899966, 439118249, 197051655, 604822909, 339091244, 473747760, 834220512, 861763201, 78204804, 381410843, 44431189, 155021751, 297466020, 103509264, 982119632, 685478851, 415974295, 181728932, 284883091, 255894671, 476602574, 49488425, 380039779, 708071302, 58195826, 57096014, 60711992, 568820996, 812698920, 706880260, 740828890, 463930206, 646484466, 56988037, 510831493, 655783115, 617265625, 443845796, 937978954, 316493956, 69748197, 559740651, 806049346, 272784594, 672082037, 60382568, 84946934, 967940151, 679650173, 876236735, 47403467, 159533191, 416141753, 878364435, 911045565, 846305591, 896461492, 365682230, 600744986, 866513647, 20176543, 972542086, 888480755, 550184109, 354658704, 36904392, 889792911, 617722963, 872517218, 591928473, 564610346, 349832670, 764036199, 153061468, 651248353, 125693600, 626619651, 531923867, 397896346, 481578558, 16504817, 250525600, 310322323, 232216261, 277473252, 257996910, 396033996, 159633241, 880886116, 771925804, 9848698, 111408388, 415947328, 32911014, 804103474, 464203621, 144792073, 55631865, 104974798, 162386048, 208786569, 484366893, 528501660, 764464228, 168364144, 344225645, 804669885, 517699308, 852496080, 261507299, 84972372, 62229049, 790803172, 623522497, 12775405, 903195562, 734422496, 10282324, 977910019, 360446800, 816224564, 500725804, 660341125, 637413052, 266961852, 868936011, 539745700, 939834226, 270650762, 77401272, 322090889, 426728005, 426028106, 93179805, 432822797, 351383498, 644307270, 575045618, 603391452, 419499338, 172809886, 960694415, 504991067, 807647368, 729740308, 454180056, 586347711, 407089099, 451793273, 138677654, 706152102, 379963039, 434376581, 927018544, 823883222, 104494403, 645396742, 79270869, 979596722, 386980284, 506462053, 171090930, 598548632, 309270239, 667579438, 407915877, 595916451, 957538876, 272621326, 925552237, 2850932, 932216643, 101967391, 715823643, 505667310, 820669523, 687556018, 48314249, 389537976, 20106632, 656182415, 773495147, 801798207, 614959912, 918211177, 777586570, 674153161, 984409342, 649378413, 388689752, 380687430, 421441560, 529887990, 673828241, 934844944, 720619789, 795233592, 55825430, 470006546, 7336120, 328219109, 120826475, 698293192, 520751476, 999635899, 267741204, 340754730, 876242159, 767984238, 796145734, 672018321, 119996481, 471330944, 261606644, 150874407, 393691220, 585205168, 209129681, 138439555, 659685406, 475444805, 102630536, 151731650, 503696915, 572005713, 550071249, 262691515, 776288995, 560273522, 121200056, 734211170, 306001405, 996463951, 903988482, 301862572, 2967137, 883030533, 479443812, 934894557, 612078156, 790586243, 144685489, 993757075, 574946740, 353533653, 836227497, 859048390, 984129451, 51108354, 343520327, 351035967, 481177231, 242261825, 864372667, 97488515, 213665580, 421920094, 912396548, 817631680, 323626127, 177162791, 127056614, 835236154, 873442862, 256628247, 221299506, 852701087, 408498221, 210743493, 659038034, 431322008, 355376307, 955880691, 115762161, 997083566, 341006083, 422384837, 745226449, 441742410, 174129338, 416181936, 301692840, 908637666, 617694707, 101956809, 979958136, 235084777, 223815251, 8016132, 630452074, 998284679, 740337092, 609076966, 214317809, 458519281, 376892616, 85850446, 154653425, 204967147, 54947917, 680473604, 437395672, 849555451, 539916828, 430704999, 66634966, 112095886, 823196337, 335369944, 800437314, 461504857, 313828844, 256722315, 425323694, 896679685, 323106242, 385832156, 457746494, 847508186, 286730192, 233751633, 164529796, 234940673, 59475012, 905981007, 378275440, 222174057, 439341968, 817210374, 473829362, 913140429, 250146755, 401437578, 520347746, 545475334, 530983996, 667237538, 727029386, 120131462, 911985765, 146743002, 245030381, 665311953, 916158662, 26562999, 214473696, 957017903, 609574851, 95714912, 725125261, 70081802, 911675592, 409604420, 329273843, 273410293, 422133470, 453895401, 409910178, 204913620, 446298906, 7109163, 931165033, 954608491, 393632608, 807295459, 261370216, 302514861, 501668700, 165141081, 646049614, 451305124, 709298853, 945546797, 98893035, 760097682, 420809390, 683138577, 884485042, 533132080, 52685044, 89689904, 861810379, 456368524, 467741389, 357419164, 3693724, 854001406, 879836986, 778018854, 571838854, 58959921, 565903771, 777197822, 352859232, 870021941, 106506980, 259051848, 497881793, 597500360, 668227493, 233951381, 41790821, 527246806, 233175705, 738101307, 530100353, 134243757, 779803206, 893226007, 37429814, 913776801, 55414029, 642853278, 353019687, 997681668, 686251004, 352031744, 79547067, 140440560, 165729807, 950370659, 282558121, 621048351, 655572980, 646272722, 407738380, 612811896, 601897170, 626909363, 793076272, 25199102, 908455201, 706356964, 272845280, 962925676, 5866998, 120023850, 133161029, 913061558, 862680452, 919325076, 735070298, 755509133, 488549130, 167097860, 663374198, 958558114, 237797084, 738876722, 69897176, 622036908, 20773703, 198911393, 882276648, 213474517, 663879043, 298933443, 539105291, 673633430, 401509436, 762502164, 451109272, 761587652, 562746939, 852902984, 696317930, 639349593, 614968982, 464551421, 72389666, 973367762, 392799204, 604231659, 655840797, 154843791, 672664957, 528774345, 875322047, 134315584, 702289357, 696329815, 930596281, 780499103, 826487285, 812403644, 84109844, 265555797, 214702768, 673128025, 972878785, 566505595, 696537364, 240381881, 626093658, 439651814, 411097261, 44138197, 563679206, 213671936, 386277771, 852121757, 268984298, 384539785, 432153400, 39123336, 20061071, 113238402, 273233902, 563262824, 359263262, 301215010, 776331397, 534434523, 32111681, 708643402, 79270473, 492220422, 448906532, 240149550, 285071050, 830679570, 442334689, 547589248, 273166447, 293603265, 917728090, 154885404, 704186889, 280962986, 331947899, 107563918, 157581709, 550548875, 828520255, 972712775, 241100250, 600337807, 434291152, 438328130, 868016050, 971072701, 117760425, 583827634, 566894257, 669369169, 960856252, 244542890, 939423815, 442492299, 679618046, 114206061, 765678173, 614217440, 885789173, 874147525, 114193954, 639073207, 36282682, 662318695, 81401973, 307460332, 151815230, 792244099, 588692784, 796646594, 105459461, 627220796, 176727226, 35812346, 829757651, 449016539, 762519514, 48324276, 667837562, 801939567, 503091892, 323615365, 386089691, 348923232, 185290190, 306456258, 102529322, 241565984, 467509772, 470796288, 558539956, 475405728, 96143340, 728414541, 194943790, 333478252, 245999982, 385332591, 108428943, 725471738, 656643240, 664685056, 368806377, 641141657, 905211907, 94157687, 574779326, 161319103, 667336384, 963309223, 118050397, 621154537, 626459250, 517130106, 251789890, 837208416, 140051916, 831456440, 747530017, 651615975, 542061173, 858942148, 802827342, 837497770, 302197066, 161216407, 739151491, 699012657, 699777759, 294932766, 850383600, 780459623, 626672487, 871393900, 83151519, 111159718, 583768878, 128731021, 858678479, 520115293, 574683867, 721681443, 818199190, 499756442, 713261972, 602469347, 588343083, 772807447, 714224221, 511437051, 431922344, 813823153, 419839852, 724210079, 312589211, 822837075, 438173502, 324826140, 23332216, 913037906, 693399833, 606829358, 531476968, 401148591, 48322304, 902852426, 862864779, 640027679, 734529508, 685267902, 814563804, 182081708, 434016391, 187261589, 162449424, 746632311, 911282068, 25909645, 879793864, 320691492, 869609801, 30386503, 36949865, 821997009, 784744975, 348709313, 801577727, 759825091, 918605367, 263001650, 611074450, 390066065, 975304497, 833188341, 807186857, 302075169, 571413862, 852841876, 727139522, 137163392, 94834425, 494286255, 395025956, 872445131, 473629020, 779751256, 442945011, 595287504, 564070805, 967136974, 699481149, 538349798, 990460938, 227591845, 992455486, 548118845, 754204834, 728064738, 603335429, 203725445, 16995429, 860820789, 781857029, 757787644, 678927853, 522481343, 695726243, 171134351, 493202818, 508581586, 399493312, 743745851, 367907266, 569185189, 334914428, 409358203, 583800104, 614518027, 684660762, 575832, 84581676, 696573066, 300054100, 861641350, 805471511, 566386651, 859308511, 955579608, 795853687, 399302433, 922699334, 107011939, 330681331, 531111174, 613161787, 588447838, 776468559, 319031988, 897444086, 904050267, 44163812, 793533073, 129119245, 79640010, 80457533, 715494396, 163011946, 666996981, 623957701, 948683850, 646836834, 45914075, 751909710, 393597030, 989813117, 53976933, 58852914, 407051678, 237759429, 591126181, 552615834, 258926681, 397002565, 712255454, 460756184, 555968941, 82551046, 397908341, 975637687, 226315469, 613995726, 761569069, 691707774, 232158030, 516991800, 861202540, 604615899, 482615942, 42169926, 415927194, 176547303, 283256849, 466679486, 871346863, 803667359, 127784679, 403070481, 251376881, 288304714, 237565063, 635937530, 837677030, 973430536, 138622287, 345801904, 566908256, 207177715, 765399502, 186676109, 308814751, 999385648, 283548388, 925754910, 477304251, 301331491, 469556020, 851016568, 921441632, 950958756, 934150407, 777927592, 206037758, 707553691, 532837600, 277751833, 239616929, 215502565, 400499284, 759022669, 684853999, 579304186, 825319189, 982605613, 557362588, 864889364, 818001390, 262246786, 666190354, 303037119, 634058718, 458250180, 730089384, 25073099, 201942263, 371400416, 455099861, 480574689, 838908508, 78937132, 650686309, 134227920, 611215201, 662554011, 417283355, 69853065, 826949645, 891557007, 195499529, 634090769, 224524134, 557334479, 657915709, 103678193, 826842833, 597643731, 963011767, 832278762, 710240957, 944055420, 109440396, 534805631, 86756687, 263558710, 531054638, 759695553, 429034301, 194042189, 723770632, 226463842, 959398312, 594781355, 381289548, 987440787, 240466640, 289352068, 209633412, 84088109, 221406416, 261534703, 487262113, 893555699, 49727026, 758270531, 440537927, 693422199, 125709750, 694556174, 524262602, 136776658, 222599299, 282197189, 316303308, 881595146, 311829581, 685211921, 660411260, 107858599, 649385801, 160764717, 463709625, 239557001, 450710191, 655041183, 233864053, 721870953, 720674397, 612582625, 30237916, 332824078, 927775495, 429255452, 315826481, 44924671, 1632733, 427349153, 299446153, 536876098, 794702743, 571765087, 937955674, 879867155, 38268995, 948776618, 830918249, 421916984, 93474830, 366358544, 71673456, 160592027, 825980392, 97331393, 926344840, 291628927, 764275797, 62976013, 862901408, 778186302, 218566311, 507546530, 403691673, 402276011, 489594848, 72859078, 929263493, 985535621, 491990909, 40310327, 639147636, 109283815, 614489813, 152849722, 985346813, 550108062, 615077055, 331015757, 262712602, 923347104, 991210218, 35634196, 416254915, 69705296, 29164375, 906825081, 480680483, 639854940, 326317508, 745836601, 920679994, 468841364, 889349557, 658222426, 89914959, 222324311, 808749231, 286389297, 500293440, 999131491, 658274684, 170054527, 609522251, 350391180, 797925628, 933002381, 676038769, 69680793, 200293054, 175443543, 972069963, 937761872, 787227143, 972448618, 544377855, 597421304, 113072731, 43878668, 626305961, 428290313, 214228782, 268868660, 487196138, 250829040, 851886275, 324614011, 792849914, 248864575, 830669461, 176179204, 234297500, 690942664, 684491603, 527921792, 932188830, 704973666, 746280595, 711769802, 320866376, 942701559, 767508423, 14403596, 309979060, 739160281, 749485580, 817225519, 529906225, 1142328, 258508388, 292136958, 489424182, 620510235, 805788649, 537540126, 141900479, 265990217, 878897486, 811007010, 221247335, 136057364, 132385717, 663304201, 705502213, 159518189, 62428701, 896269668, 565330184, 523216562, 308874536, 401056765, 421797868, 558290064, 251506405, 677369110, 871955689, 804859693, 414125018, 518154459, 716471676, 828714958, 929640771, 851886835, 28864389, 13329733, 436416482, 892515573, 703609216, 302110312, 873889910, 89743727, 189945587, 377477672, 225405651, 695626637, 471369624, 122456937, 582448871, 699335272, 28199052, 558150224, 357619669, 367398709, 690872423, 151493886, 146550356, 415646465, 970717198, 30688595, 916347249, 688123457, 772741299, 257742295, 16874089, 613611520, 977352271, 244690699, 983032262, 464891062, 127552597, 217927317, 703447646, 417562767, 813248281, 446517485, 795732289, 376956185, 905642438, 937927833, 199794998, 983062219, 709445263, 876619589, 858399344, 826898086, 185065764, 888959001, 6753513, 983157419, 978176091, 467673220, 841158021, 65760688, 441862907, 225514888, 414710599, 48483932, 357765080, 455300000, 573009950, 114054312, 630263741, 942846532, 608134306, 485310252, 656209820, 695474766, 532939744, 867105412, 325437139, 923580059, 131705618, 108276195, 958710003, 625676290, 245607319, 724375610, 169969437, 109631770, 408869434, 74777037, 343337651, 864273026, 963233796, 611031576, 262466173, 388503915, 473057168, 91780949, 64076062, 165364076, 280500121, 25482147, 404464413, 186447069, 863420168, 315743204, 319631421, 737802783, 999023723, 868070650, 347098762, 342376240, 127664225, 883140574, 943350526, 906501003, 796710086, 689405738, 15682480, 142103341, 130196063, 803607098, 979724576, 662988846, 173320091, 632428762, 64490504, 331002556, 138769136, 733308826, 721673361, 514428221, 421757756, 495084702, 443217709, 91779166, 168063047, 653259349, 659920567, 523958696, 110564873, 38109922, 695630571, 220177351, 850042884, 634320746, 865702399, 852431006, 117803561, 634874846, 922687852, 835948236, 994704580, 759656552, 303231365, 443059814, 850646492, 858103444, 84971821, 488574348, 353176569, 434615677, 574481059, 979660060, 379856429, 217819498, 233195388, 403029131, 964035749, 508466420, 815448090, 632544668, 490475444, 378456235, 48336836, 656107281, 285194907, 563958842, 844279581, 319783385, 38134797, 606268558, 709664562, 150615120, 791928493, 872140223, 726922407, 920168155, 395440568, 339324359, 37197099, 832755052, 39524151, 216349392, 640740033, 586217933, 992543156, 29361668, 743797058, 300668788, 31805339, 61161378, 207564607, 752813300, 281613063, 351305187, 264533014, 120946241, 414888638, 763059773, 236341819, 153782726, 467791887, 102796823, 913755259, 28611466, 625487617, 400799812, 354955600, 954800329, 147425650, 345307262, 414047907, 299916843, 809553400, 622724863, 563077761, 409248405, 217181086, 154165808, 387939180, 66919547, 263192439, 52482756, 100986340, 611388948, 959266272, 299654808, 73991986, 432843148, 506818650, 314083677, 626793674, 990875964, 133357865, 100737104, 565138255, 447835122, 646016895, 129639526, 865203133, 243949290, 180635629, 455804564, 620172148, 774127262, 586600978, 45493328, 982667994, 334670139, 589171730, 104718985, 236218869, 943510201, 187272946, 11806464, 257200591, 226688115, 931999703, 802772525, 68554126, 426554423, 284561093, 528223042, 633638208, 141421337, 518606315, 362429031, 656441999, 710120582, 669143937, 125036247, 16382720, 651473338, 593577370, 78221298, 294785061, 814926071, 100018350, 412182430, 272879389, 79512662, 590394388, 541446497, 557608324, 144820076, 902995173, 641678122, 451051454, 952661211, 456454436, 769811394, 979806610, 697132782, 209790219, 915828287, 524077709, 930434222, 649803731, 753915091, 119030227, 925041698, 591558273, 559324551, 680042590, 856937310, 332831608, 732450608, 315349113, 651846899, 836164793, 561362650, 665556097, 242256528, 961688656, 660636940, 543349559, 68253275, 968519451, 612859112, 366433954, 289292399, 368903169, 739068016, 511485827, 38375135, 92897007, 808255138, 321966660, 521630559, 366991230, 107976879, 863584012, 291846078, 971738005, 580909849, 972071470, 307152252, 437075702, 734978222, 678217304, 89889168, 412756984, 30794476, 129228774, 229966969, 881992849, 886949055, 342076186, 945521303, 466537662, 442928461, 524043244, 866433946, 69723368, 84819776, 956442870, 826203662, 596192829, 155556651, 326438216, 642567058, 506074538, 985879459, 415328555, 825977083, 356526561, 412833909, 983475287, 402844668, 222673328, 667746111, 88335, 334670335, 186244458, 705803593, 149610274, 578128623, 656565232, 821037087, 493369825, 333606060, 713062893, 52867007, 50453348, 72012328, 124708094, 316292502, 494121237, 618518228, 936229617, 396833072, 701226853, 460130898, 460420957, 425879218, 897549123, 365618042, 535534433, 386313888, 279446014, 98908916, 911069855, 197404652, 323965096, 703242353, 950613079, 622073237, 790866534, 683714703, 365397913, 627884163, 496115425, 238238419, 331380084, 448316261, 814197834, 864835816, 657283935, 632585702, 730338847, 162987065, 420666371, 601255937, 751592984, 682995408, 672578076, 676003829, 260867174, 814204727, 60658645, 874973292, 542403524, 538641613, 715979569, 517727372, 360560699, 933072414, 409835321, 994175753, 624490943, 425573674, 856114331, 499028367, 496706754, 384402113, 875296052, 320736484, 985358062, 137606207, 635016806, 895064952, 910471231, 286731309, 583639987, 312254013, 23351156, 223573833, 231697587, 913972019, 588856968, 289164451, 952657985, 56514426, 443961193, 748385507, 783305454, 227503834, 918796591, 211350830, 926959253, 307469751, 937490055, 652599567, 804542573, 683175920, 583120721, 348232648, 252793995, 905129641, 545840268, 135262932, 279796030, 697961521, 912946580, 677180053, 558865595, 892120597, 732538916, 239622552, 659529771, 64348669, 194646212, 799512265, 380084958, 997828410, 443069777, 319116170, 859655, 760466474, 102433733, 397852824, 445257080, 255190290, 710414135, 879518521, 866933000, 505433697, 768443657, 614584561, 13114318, 41067678, 751625699, 246377897, 121730467, 464573398, 961529099, 695150345, 596470153, 70299717, 329567356, 360739005, 891708866, 321887923, 528588112, 869050551, 432183062, 551308129, 889102543, 64056587, 814105749, 572849910, 514942417, 256362972, 895551660, 111152934, 46202697, 522605913, 319169115, 482996753, 540976797, 90594092, 277816433, 619986931, 644946253, 785542655, 393118180, 562435030, 299358641, 865988389, 279569714, 317306404, 367811344, 994319821, 69771629, 365322102, 676624544, 869878468, 947011790, 259446984, 798553214, 193157736, 82004334, 240904228, 306241642, 608522820, 441950066, 72584146, 46955653, 874884561, 215898194, 160981070, 454524520, 470765465, 732686821, 162614854, 800720567, 11393600, 61747714, 267991038, 408159318, 253256961, 695410822, 906477182, 638048170, 52192456, 797050481, 31414012, 914355121, 836022385, 579401981, 444541348, 130310304, 597434549, 216333820, 705433333, 920473825, 674064691, 318799030, 719267304, 110914796, 855493851, 797029490, 789915141, 131560992, 726332702, 297539891, 276154017, 664756231, 317467178, 926510643, 873485250, 156373017, 897072599, 86354322, 102952679, 113599135, 350571070, 190103607, 820326638, 564642599, 954792737, 621794314, 569099223, 109760971, 694271918, 407637669, 653580050, 446869863, 22622101, 407383992, 678539798, 648661199, 627676734, 47253040, 137969364, 386710064, 92123346, 778485489, 155339330, 169205834, 451290497, 678816085, 682924058, 195107805, 379695210, 438749049, 404098797, 689127754, 277009286, 972012276, 620034900, 937045546, 126988228, 880181901, 645719463, 7484471, 183521962, 243113618, 794877893, 739381923, 785285842, 860597950, 557679723, 420421739, 135577877, 797955392, 259967586, 10284984, 319743978, 212226708, 57161610, 631996999, 44664747, 375825475, 518807641, 49850652, 593627241, 667261356, 873366556, 220620718, 730051929, 780645822, 639171262, 118982350, 516881388, 697238823, 111159130, 5309780, 94615398, 744978639, 646328127, 322422428, 861151214, 744957294, 533446258, 586921489, 279567194, 634356441, 13354743, 968033930, 784016190, 963335521, 390928660, 561807264, 656514967, 537954042, 417717415, 681562930, 206744976, 232869441, 291813145, 631667697, 380938134, 609139059, 927497046, 259066983, 44304759, 482519440, 433381055, 212838454, 255114963, 676814328, 534083123, 114515705, 658559578, 677336240, 819197877, 469745866, 327975716, 253589930, 230633489, 356295266, 490159376, 978858616, 55543276, 268478496, 487512416, 407075560, 225931026, 124608654, 27609072, 926069567, 150496858, 454482375, 601087380, 416732994, 603174813, 811044233, 964304594, 71086763, 974753871, 838075457, 921599061, 205972975, 409965194, 72838056, 292290751, 53682127, 182033517, 127696384, 670598146, 819599190, 318587142, 909002182, 195599617, 577596322, 259828490, 167798037, 458966039, 786594878, 357303948, 429479640, 745432357, 184849031, 251353720, 557904512, 298548708, 220028369, 339142691, 247609685, 236627203, 609234625, 466842732, 787887082, 51850892, 905760001, 187672640, 675367682, 329645424, 338150060, 569144281, 641343174, 419830881, 554578661, 568089090, 200828316, 749123665, 723837373, 664234571, 384976114, 540311658, 624903566, 329303896, 356923995, 215647556, 512846226, 934960870, 915227807, 893357593, 628580842, 138941801, 499039833, 145729775, 924146523, 192771927, 424711046, 650156042, 485894293, 447550896, 873012795, 181343395, 394447265, 662082518, 377161172, 80522759, 929687211, 146060910, 212747210, 384759104, 872206866, 72895856, 987114098, 282636087, 835920041, 461401168, 604939327, 34607047, 554576062, 123802863, 385191337, 897493567, 173325079, 627255978, 461574670, 957565805, 577493571, 259339878, 801704543, 577823155, 27751917, 303801050, 905144614, 18800650, 765608591, 23461802, 394673264, 481402720, 440709996, 791094131, 826399675, 348779381, 737296056, 647561172, 887497770, 535825711, 627559243, 701261119, 490593800, 911616880, 875009832, 633530613, 849099437, 513216190, 974014316, 334827231, 551649428, 321019835, 259800720, 909298892, 2989620, 289912454, 123233798, 166671367, 592503741, 459661918, 736546448, 558150914, 165459991, 96092449, 842355536, 114668567, 84946560, 137337230, 503873974, 823903357, 690902118, 690626675, 626897175, 164607283, 320889242, 50011343, 127755353, 430451680, 300211173, 427592558, 328410620, 226799466, 574417349, 854231673, 350680094, 675775762, 177508305, 620542375, 143947090, 416184710, 887184828, 895119644, 652848913, 153104910, 919880955, 883005557, 787837531, 216705858, 756964219, 270155939, 232113706, 171910521, 244713279, 819551208, 797188853, 714238660, 941802280, 731701702, 547181071, 366982297, 489483443, 469586935, 996289406, 918974786, 771079459, 658655802, 283641500, 551862865, 2351208, 841219132, 702142668, 421063136, 979635820, 898228114, 596467748, 106193108, 125005636, 132099025, 208870913, 35046893, 113352656, 428530969, 195723454, 711429404, 641959542, 809958628, 743897236, 259479536, 227146695, 253342035, 61838387, 5795974, 423948939, 854407646, 66679715, 819541670, 982856870, 779745640, 424009568, 678339871, 270516766, 673337752, 770973685, 20942047, 30944454, 453219694, 917241787, 836822204, 627177389, 584114513, 413031704, 422075571, 38663092, 610854081, 743200341, 464997624, 703571229, 136046584, 994945642, 568951029, 385882524, 765717828, 476509896, 940774087, 127219979, 186570447, 709676610, 489585499, 1443236, 597599525, 322795455, 342348303, 474424537, 593169833, 742690936, 625851396, 411749664, 350233742, 80237999, 538058327, 39263825, 333349607, 875895564, 18747541, 444239139, 965276407, 666501965, 920214448, 85320486, 919559051, 92676310, 946942202, 813780944, 184868264, 836615685, 426961616, 656944087, 390292997, 776322841, 444774502, 799062032, 773675673, 469943891, 867788472, 604395078, 398762254, 114826469, 560177600, 631547006, 185882407, 586606962, 277309594, 328219927, 801181339, 98624434, 471654779, 814972017, 476202924, 762447762, 387936519, 555272470, 657758930, 679362272, 258080662, 51146410, 300217713, 581637852, 888315118, 383516978, 399828867, 969535486, 675905811, 31466996, 302303187, 77068864, 157281984, 166431492, 369433553, 717900129, 795643852, 414455989, 478177603, 824658223, 691652692, 377296825, 170109237, 625296438, 635765545, 62921760, 684432833, 454730336, 788369280, 371065401, 679626059, 396261570, 848030403, 796328586, 807830466, 166503944, 58903384, 754929429, 785731882, 258898570, 325158677, 911851784, 881641879, 242285897, 74214998, 877514547, 283643987, 570003855, 672502650, 635011935, 384251142, 742272896, 671682847, 182786576, 235181706, 119850480, 928337602, 956480100, 385775917, 756474847, 80113207, 298287164, 481212861, 579690928, 619058875, 927351804, 656379429, 817890360, 406204759, 90389579, 274033354, 224695927, 542152915, 150434443, 843586896, 293148839, 154552108, 645768578, 288541661, 600938933, 197726130, 875108493, 156011402, 823560887, 609682975, 230304845, 948083694, 91734809, 832432120, 391705039, 372425210, 304451490, 813269367, 301247837, 753118233, 467555492, 405519905, 250686002, 298338313, 340027905, 753744201, 742890590, 803775433, 232789500, 259411870, 795513084, 367178795, 340840830, 225548531, 533916112, 717231374, 296856585, 448298873, 218987194, 297521247, 632568643, 58610839, 205930254, 809079897, 168478252, 182378498, 591510822, 421923122, 482270448, 911925825, 846502901, 589631102, 41847154, 216377025, 231226297, 27005902, 637769424, 255163945, 502841172, 622962497, 655161523, 75953562, 167580681, 543464759, 477808433, 352505861, 562525485, 269529512, 553773987, 403207609, 351198466, 391127893, 969124675, 720844546, 650646949, 709807198, 696739881, 941643240, 560668841, 197009119, 842696359, 478965105, 405021624, 416249347, 462494658, 551509551, 7712305, 975878289, 442681025, 993139279, 759536424, 543389648, 176666397, 501543846, 708344410, 577239237, 610206485, 723784393, 106792669, 529996148, 148341243, 252758591, 104845275, 164578758, 554993768, 341862314, 570471669, 158267010, 675262496, 932698519, 110763450, 781341649, 110310876, 941157979, 335312233, 258714923, 676977836, 998414953, 738699134, 744135135, 859372106, 43429391, 575377689, 204724476, 107009627, 947911586, 15869346, 185038225, 444621971, 563099458, 986588469, 181151652, 113726489, 802213203, 218527562, 796958915, 783882962, 780502635, 49275560, 231598484, 362894780, 276183626, 625756056, 439591964, 908850264, 372220574, 635558262, 173393292, 805333557, 411584307, 577734571, 657025679, 55542705, 552564650, 750785670, 849141994, 719578091, 917739002, 89908785, 69455345, 568377575, 580260708, 908439174, 897744100, 282636764, 623985599, 160118743, 48683448, 272830682, 603536167, 319262460, 75681071, 887491630, 825789688, 730043097, 941109105, 417295007, 953560569, 463694234, 239006976, 370067410, 809420022, 442306713, 345805294, 290326251, 663008784, 804091273, 144706462, 49277925, 692802773, 139154327, 248501979, 212967463, 229923910, 816521422, 338249787, 736145999, 929710810, 792077164, 848377612, 369579188, 716557408, 565126946, 504184837, 669561120, 958230595, 136120636, 82785331, 967169522, 368370448, 82788764, 349907686, 880706675, 314768269, 602917099, 292040982, 689780537, 775555000, 186388852, 53356013, 259084139, 889727743, 977935918, 590902354, 564318905, 888146839, 434348180, 162753917, 306934182, 657605837, 281826696, 156231281, 178503497, 960122313, 118852907, 678748511, 816320858, 20189644, 550428175, 579870494, 585488079, 504063431, 628328306, 753047340, 614501165, 504162618, 454987754, 861229313, 20160608, 501696146, 806409907, 6919524, 933765222, 508417063, 750077412, 922599538, 129059489, 42034339, 658971765, 990659241, 753959682, 235322914, 467435340, 60561543, 659495361, 331518899, 941342485, 238453278, 269713234, 35418962, 615509261, 596688092, 209502521, 870976832, 489625610, 137566968, 7339360, 950115254, 887409324, 124228550, 264631775, 836728561, 385563947, 520875683, 769607608, 620859571, 770663243, 901597618, 831253556, 409038628, 949321001, 97493248, 985622540, 745249637, 121263802, 418578966, 401434237, 943632838, 870388272, 656892166, 70607572, 481100706, 891547394, 661208723, 686294341, 50301254, 928125430, 647796178, 219009988, 256894817, 757659514, 35710526, 543669638, 649380493, 87812898, 886341723, 653448763, 831185727, 59237524, 880073479, 426967573, 682752710, 393475179, 791402228, 100429173, 895043820, 519685094, 435289464, 63268264, 222981613, 586934130, 219946627, 326014124, 720844972, 69205971, 751185606, 984191240, 905429109, 932822023, 447268020, 920422821, 748584619, 4630263, 634656595, 447385985, 956848726, 261006887, 54989379, 404841551, 697667794, 74532632, 732600633, 601728695, 768454286, 919088173, 979915187, 267299213, 898496394, 951293113, 497152370, 239385211, 224400973, 800734808, 590240940, 601681780, 358271366, 201591433, 191817467, 29991814, 456587997, 698747433, 488217725, 747660236, 928936298, 128542204, 741443821, 225023819, 735034740, 70724770, 1646273, 988490251, 245322182, 482837911, 552467882, 853119315, 686318174, 618746117, 928227495, 333582023, 300243931, 336478037, 986394858, 788013784, 911264017, 541449491, 874561718, 924167550, 24330452, 708056581, 933697008, 801901448, 366141358, 990467090, 723730440, 686255749, 451054324, 575963693, 995500499, 270875822, 484587253, 56066232, 232872965, 880421704, 492937357, 324017720, 965225281, 57164794, 666520521, 418964865, 328039111, 343888249, 741245988, 557328849, 405327858, 102171260, 464451944, 136565691, 735941584, 9426223, 546773591, 185343008, 58159322, 57720213, 518236562, 854747925, 335118930, 547457860, 334386770, 684316156, 577948686, 578554494, 449501710, 483329038, 13115415, 10576036, 598112184, 369967193, 439275446, 48486010, 951811357, 10956486, 210391001, 665911484, 370913759, 969912885, 191297205, 171338558, 987401292, 306686616, 380225618, 557150079, 908958890, 92407071, 622849368, 901605450, 501324825, 411893001, 486231194, 76794408, 151944512, 895214832, 370720469, 175464887, 967403099, 195754213, 45207711, 382329183, 365128656, 244368179, 296917725, 60342057, 356988798, 707735928, 844591244, 697253443, 763401059, 883614664, 713510305, 769360856, 898069158, 455795300, 993624297, 637229075, 912348098, 461576850, 331296406, 391385762, 376072761, 767221291, 887280720, 563397679, 996624332, 552796969, 390587838, 784414927, 251439043, 623413502, 398755555, 857660575, 865296809, 298532027, 604387977, 792774909, 134896495, 887684076, 652331234, 430157182, 523386290, 809655682, 388286779, 775644888, 761828453, 767616630, 211517247, 882379655, 214128765, 73659053, 84672046, 888096838, 818836160, 610136320, 566776336, 53591649, 161440735, 848208206, 678210677, 895039787, 249525153, 275801780, 385811820, 36587030, 544909242, 137037701, 403009653, 811217222, 916071867, 11036614, 334238332, 448465205, 878746344, 115402531, 667282659, 412706944, 942913411, 203924151, 245317671, 670120514, 332087399, 116256747, 908736290, 837807539, 691432118, 494539906, 123015003, 613080528, 674381879, 10045797, 407579800, 607064713, 623203825, 538873656, 567451080, 107072883, 325783589, 932514673, 465210199, 185099822, 718441180, 283895976, 197619583, 175023908, 649455062, 944312074, 515927006, 726912101, 339327562, 543916862, 829906194, 108809742, 26366797, 154802754, 674713035, 82991680, 791066841, 811252369, 39694931, 470385497, 889067910, 693919051, 100461462, 604076231, 915400240, 597691644, 850823921, 350938437, 202841347, 434629485, 890691573, 366442987, 83261931, 404186868, 627403505, 165444841, 819619854, 329928806, 952909364, 353866108, 736173093, 260606388, 735748986, 566646948, 492054274, 138349980, 540224499, 614211567, 98241539, 516768194, 98039352, 231507108, 325037696, 859297363, 766527945, 732588903, 159042797, 333471430, 670882081, 110713335, 246626641, 668787373, 302156527, 807633970, 646236761, 469328975, 661117685, 571716013, 774810694, 203427768, 119938479, 315003547, 602432579, 564776564, 390950344, 946446471, 247002363, 861299576, 921249430, 11567576, 833509471, 957965625, 287442462, 946468092, 559613549, 820115485, 786665940, 365413169, 37335069, 595802888, 351460393, 995403477, 258531273, 429947783, 458128753, 58521654, 531297797, 999713614, 98999647, 499889442, 300066058, 949672483, 219968673, 405867023, 844785871, 125305984, 88483777, 730030604, 966010260, 653186265, 936250054, 338125684, 304312684, 248760642, 996374552, 757017067, 11992666, 465590865, 296632425, 179198389, 939794171, 563761330, 396727205, 615303663, 809783226, 878916310, 472632942, 387105198, 559978693, 508878350, 866002959, 222880250, 555629180, 657701745, 245655496, 194031571, 250352452, 36348499, 593289180, 160503410, 341368159, 506849603, 419989635, 692592449, 67959855, 30722487, 726862569, 68011459, 887272636, 648246519, 302143968, 11166347, 501832105, 10752737, 936581358, 539301720, 141661947, 695743148, 526622548, 834091317, 719885165, 124351451, 663179605, 317123440, 296772198, 237218234, 332528047, 163055049, 209966672, 765570226, 287898654, 661527397, 156627488, 480977593, 671071696, 590745910, 134963852, 275216327, 996818326, 613796596, 194438333, 336656011, 544374207, 973475813, 539688027, 678455136, 690657547, 921908014, 528290630, 839967283, 151584452, 732596874, 495843446, 941381590, 780490369, 834553417, 253507148, 909617857, 346199140, 892463506, 18736290, 244182566, 183614392, 244448021, 102536197, 465531758, 721454136, 804154265, 578459212, 727191744, 234526706, 458036611, 745324145, 212809774, 939329167, 558322793, 686237182, 465690551, 758727832, 58470321, 621548009, 258051478, 614680952, 476194201, 601734746, 796977021, 118504284, 31390794, 358923814, 480852403, 3831085, 513577593, 424368251, 339598414, 269514604, 766718771, 944318412, 858994897, 75289284, 170410253, 29519955, 520515730, 469687788, 633303116, 990497355, 325167870, 550847730, 140751732, 450575616, 396515781, 794958108, 776549143, 706957470, 921813304, 811361222, 630910650, 174701961, 590526177, 676602876, 149261647, 554566391, 633755129, 19095875, 608484778, 234138702, 381591406, 651403233, 747566384, 933067885, 253523396, 307356742, 476004520, 145586731, 177759478, 135780158, 953245998, 76384609, 241435306, 881403715, 905244188, 842422005, 617983850, 944381610, 462246273, 966492081, 934429864, 842987250, 950935989, 711424157, 299546742, 688827548, 738190854, 574413117, 676095553, 574015896, 741718254, 751481621, 432357116, 260864806, 655998961, 770761456, 273941326, 360473044, 612348390, 173057240, 287242032, 282187659, 246877878, 232522499, 320126814, 533270196, 812909366, 885771285, 210485997, 525414848, 878486975, 119227042, 35191770, 983810980, 568853996, 912903439, 951261852, 898466728, 594765429, 695111842, 364844759, 79135125, 815421010, 159164806, 819188100, 662592801, 340074258, 654452447, 980546017, 984931806, 337189927, 57207171, 685347986, 78391590, 840114054, 388067325, 270561656, 89513581, 806317090, 465287692, 590492558, 130903401, 531698006, 484540677, 188143912, 384258830, 499491235, 109879738, 482698812, 307338820, 20239785, 978046260, 497384198, 271422425, 330764669, 376647163, 9176567, 860505292, 873555595, 701885829, 801750355, 15249149, 576471011, 639194711, 334565762, 282666503, 694138710, 839544612, 76912267, 806768370, 610392575, 37668266, 603920674, 109729765, 39904926, 870253981, 828795385, 43315484, 846228159, 925372794, 591546770, 727650437, 29313655, 896657059, 155687473, 146535940, 946416071, 520977226, 856571671, 259836483, 372385906, 299298268, 975818880, 103283100, 768893544, 259509164, 174994002, 758521052, 855717334, 541686312, 7425253, 470343952, 293224257, 250328388, 464955853, 496008969, 635530890, 440218795, 341341651, 665732677, 405265387, 426222437, 3947841, 407419729, 97480774, 127344215, 909068964, 849833706, 529960859, 343823784, 611955269, 474280356, 272371842, 280586939, 830284240, 730114546, 214504356, 529484749, 283432734, 771021693, 590571037, 385747656, 105246842, 247171286, 686422536, 268902733, 392441581, 729372664, 838304016, 599309744, 61581289, 196659566, 212614129, 728984451, 877740502, 201905088, 833843956, 766594710, 435965004, 255002512, 42360721, 904498354, 411931602, 493645517, 696369003, 187987848, 451882113, 164605146, 283967550, 547320866, 480633457, 1299001, 321704953, 537484900, 584055665, 359024926, 634252726, 76617499, 330759207, 356552268, 159389287, 337637485, 264529225, 769990461, 821483268, 22148366, 552443306, 641229743, 234331060, 859954010, 715736194, 552313519, 36161416, 89615507, 498023992, 469097902, 48162655, 788692501, 964961643, 546146478, 829238469, 879369307, 666749872, 408001223, 210660707, 474723880, 121949222, 721458644, 192201422, 857939053, 734935884, 117198776, 606842697, 994561447, 574979338, 769082795, 446013358, 742967125, 64239212, 202995410, 315694411, 183405440, 679759000, 270539944, 811105729, 292315539, 906899587, 280744119, 606467387, 462030700, 746254058, 659323293, 766081454, 38267246, 456606642, 670466142, 611187577, 43090301, 989708596, 541495606, 610164392, 596757947, 397028009, 202452449, 453432144, 257271054, 249461136, 889228834, 642555183, 806462418, 213483831, 370901056, 383531085, 238523389, 555589373, 5693737, 565832111, 67838823, 542629599, 469752695, 763553783, 225724499, 503579017, 842153626, 629651635, 160059973, 495122142, 376107435, 55085150, 739608819, 387833257, 110649110, 87390086, 622032501, 597633210, 82367321, 830075364, 336915180, 952037378, 367766169, 421108110, 622635197, 314112723, 968868271, 544987487, 565451730, 873197017, 754811042, 483569513, 302996654, 674681588, 352377702, 611631305, 328705710, 627155364, 692501139, 993050003, 119532424, 214491664, 247121279, 358658426, 818429743, 856165331, 799705485, 144024234, 293821803, 471678405, 338076307, 183020553, 491755920, 595439578, 660371979, 215288345, 937690577, 650678750, 475679817, 693495245, 682119011, 40560331, 111716401, 252304787, 347789101, 268095774, 654787606, 219462147, 617898975, 353421514, 287543074, 766942663, 969905272, 996944087, 59711287, 913856124, 775957987, 810206445, 798953936, 920805202, 466271564, 838582192, 39953631, 174603894, 707833403, 711421540, 559830401, 774604248, 727309384, 340014326, 603691269, 25680302, 159202113, 12038004, 973851087, 905123966, 456523239, 806674471, 600645790, 676200356, 797459051, 263226093, 507288770, 626007092, 556336735, 791517384, 802031381, 151430317, 325565776, 32092493, 479848819, 810641526, 383602726, 806345027, 926287297, 212227890, 113632177, 552086256, 561608274, 244186468, 750840, 585730999, 924955668, 549591702, 800370574, 315814447, 350522845, 428484917, 793118133, 522035145, 320976403, 742412662, 621914769, 619717456, 699178694, 687730625, 579374595, 876131746, 411859937, 582328394, 330937169, 497490757, 113085072, 807984205, 992693614, 730573982, 724644708, 604156133, 154531105, 158427135, 39918226, 208742503, 877095193, 989288285, 630780755, 291973768, 302385181, 552271705, 800040276, 193631038, 25411189, 23750324, 249236863, 274847442, 94753056, 984934910, 69708770, 263668668, 708226628, 584382563, 725463466, 646148221, 25454904, 495826739, 338674582, 555287824, 599001674, 239776311, 234665347, 522583573, 315309528, 597023464, 486980241, 620585710, 540012947, 829347998, 973426039, 36251066, 924474611, 371877586, 105709527, 20355310, 296623048, 8681913, 255470560, 753760163, 189014032, 650769280, 707402044, 860178461, 311683190, 546266491, 612266525, 903877790, 52652479, 874685874, 178768599, 361337981, 446441514, 520243841, 76656683, 336740445, 327813340, 424955018, 30068513, 657456522, 537396280, 839471187, 495245471, 685558612, 206038180, 161246892, 437425318, 513679949, 790541044, 290643843, 229152522, 116577826, 304758814, 843252054, 669705382, 880492994, 474231497, 37682950, 923932366, 684337931, 813711285, 985198700, 211925007, 458878698, 324036284, 26543284, 845200635, 194576126, 190916518, 529311819, 300479499, 870179003, 113723487, 936246105, 152622744, 10098302, 785739258, 776941730, 395675425, 477692753, 9263165, 723842599, 682054099, 495471914, 7481196, 150075988, 542492627, 45175025, 393203383, 324574162, 395694465, 518789983, 846901542, 439123617, 316625308, 107630930, 991837225, 623546062, 919994084, 781781174, 815972076, 102050828, 542645605, 801193873, 910662098, 887732950, 746209937, 567445644, 806690673, 760035245, 572473191, 264869670, 647599095, 243877351, 1353848, 326209968, 262377499, 180353252, 888486055, 431688388, 675487938, 808527844, 285683359, 446293649, 711752628, 553730287, 724957797, 741162757, 523971866, 903895371, 668502709, 193485263, 295334399, 410235527, 736024415, 862157568, 881939394, 854086950, 28644884, 829747754, 569587319, 483754247, 145238645, 457785109, 467140132, 143372630, 171964588, 275087755, 368479768, 631257597, 719244068, 167172395, 518514482, 374998459, 174331902, 242661333, 502065849, 169725571, 318813790, 410092787, 930361256, 2486283, 667338533, 296810959, 324151549, 465283585, 422039950, 899306415, 577795395, 199501441, 912991967, 797701654, 944263050, 460856642, 605338817, 255359096, 30082307, 49247185, 691804645, 921431431, 702424182, 923873660, 690869875, 923365188, 994416348, 8676347, 718061096, 972396822, 182996061, 329534080, 259134745, 68882078, 393141110, 859312728, 370667051, 467039490, 663286810, 503549375, 654601063, 924530153, 503457844, 324978174, 243948338, 834332536, 460320243, 587980831, 674201502, 548119845, 171064255, 729525559, 286783746, 556107828, 659595673, 157035742, 10258734, 653612821, 24108591, 362770291, 684463683, 259478504, 387721633, 436258639, 320957677, 828059032, 833574393, 735649958, 750849079, 627276906, 567058147, 239953108, 748867012, 387318925, 366702714, 202467147, 88869886, 376987173, 682373011, 934597318, 8470206, 657027809, 494858858, 623883278, 53310706, 753181664, 128252348, 203294714, 3945365, 177474520, 893616760, 300928881, 68584444, 276845256, 253331389, 253692135, 668311241, 287815267, 534223352, 194130824, 937469401, 220888060, 378762635, 777471997, 406937073, 444621155, 373361949, 591204408, 790981586, 10199957, 23160845, 156764152, 545552236, 113653949, 430064816, 378637048, 281688139, 94565633, 285725339, 992609330, 764309975, 446723939, 544743618, 563492303, 773917756, 893593926, 978432444, 591596816, 652377504, 741415639, 57258649, 402829177, 389285709, 864106942, 684869504, 833772901, 483990062, 241114631, 817081975, 851753574, 999109104, 860298678, 83233396, 513197245, 185979143, 934958465, 218108309, 29578176, 284294739, 476431239, 525767337, 146150520, 244767377, 915460633, 690605255, 859627521, 12562443, 918095146, 762617457, 67520946, 433646552, 254120591, 403137450, 771252359, 709897261, 797869027, 995838291, 517507426, 113053227, 382009942, 711902976, 470526830, 412417627, 197036329, 403487589, 825589871, 925589747, 959329972, 524552226, 29975656, 404035257, 531284928, 254699136, 734748447, 282180072, 802641836, 480780321, 878512025, 273327235, 490930805, 122829386, 923350174, 821889593, 616104525, 127645522, 136011118, 189654373, 547648497, 581480620, 400792261, 692975594, 354770751, 651840329, 221031817, 46716762, 767013349, 2528200, 416446468, 667187047, 190920536, 130867549, 389333627, 28284594, 545080443, 481139364, 459751129, 533452530, 489959799, 615162771, 764873470, 462745199, 290221854, 731607064, 828552404, 663905868, 835021716, 6956270, 763383014, 268836822, 58061797, 189126688, 143661550, 136630063, 54446550, 651108974, 720841986, 152587614, 486410113, 925046485, 535083474, 128855595, 349836891, 767944207, 726513138, 586066542, 585632363, 829009223, 617155304, 582702173, 696607142, 627228534, 557276853, 50049287, 238000725, 741891942, 41852039, 148335577, 397682760, 992159034, 872641514, 928067139, 427831561, 113016813, 793171338, 359691993, 176430776, 764981033, 891857951, 776585532, 523488444, 24111494, 637519766, 391112863, 492066006, 785612887, 838229454, 849884020, 698041297, 729251585, 852100419, 943054443, 465149341, 587202368, 914306213, 71906378, 376841879, 2861545, 710579949, 930965874, 127415752, 687267442, 233328595, 898022964, 570604831, 717992782, 51653393, 120180821, 710350296, 573037528, 97975767, 582259549, 634149433, 404678577, 602464738, 345449473, 832950675, 402536829, 718612514, 84364489, 16241861, 300805525, 646974989, 18445921, 744908426, 119643164, 781201112, 26519550, 723898831, 537509879, 126901086, 791303924, 846018818, 235843116, 10059655, 669049877, 662093815, 738816788, 832983839, 305323098, 839224520, 363890444, 98412317, 524229664, 834637074, 840397600, 244544554, 678903044, 829605435, 685874112, 116652824, 939981785, 540311495, 569250356, 961992556, 493173324, 594645290, 371633678, 686444067, 300029488, 384307788, 423441105, 692995897, 195614961, 410815423, 749369576, 975346651, 333380334, 181162270, 519964274, 882265311, 614531574, 813099491, 228390825, 326250577, 316427528, 780990263, 681621365, 876522107, 75133858, 509739746, 837674930, 789848650, 141850046, 270348851, 438419618, 241656976, 46593641, 955585999, 70115463, 725855892, 52018955, 61813051, 155533818, 611158047, 975792737, 806090480, 701050730, 552271846, 669986368, 206389212, 239776916, 991566926, 748287356, 121129205, 134697115, 551498157, 730795919, 173220804, 188642533, 136427829, 594458509, 755669231, 589094863, 783090009, 88369562, 63019336, 155312205, 793751468, 16013005, 560085963, 570036824, 44707393, 220882799, 400841256, 739127931, 790840581, 983592959, 773056409, 310921889, 811904898, 31472515, 49775023, 719626767, 123318308, 398063375, 29726708, 841646926, 667666288, 123973850, 245261486, 264164135, 266553248, 640785347, 461436204, 823620881, 783356097, 925072022, 585438415, 220108709, 181414833, 223389527, 421266624, 705630089, 818670161, 356977191, 581322523, 542184916, 811554847, 849567780, 83533997, 782721575, 991612446, 431983088, 347894750, 676536032, 416590105, 226777627, 129855563, 198042931, 893567457, 269181497, 704794579, 884170011, 754001612, 175543958, 623087829, 227090400, 900379202, 65173502, 732461984, 924291554, 775469008, 462798883, 293852522, 156933781, 54247789, 748268968, 959604814, 321185779, 102155795, 902554300, 335723132, 924543813, 503198363, 156904355, 921463083, 953021714, 41348158, 251357114, 675756923, 220503302, 974130525, 315387333, 622960253, 281990096, 734696309, 994519662, 120892389, 779033576, 877017349, 51019644, 643352505, 745054738, 404571729, 190535774, 964665715, 542206305, 490900025, 183032786, 556141274, 117579859, 290322016, 39444073, 401830795, 978655341, 918550245, 126203730, 445101671, 660785441, 991604560, 906620254, 804048625, 433190274, 132313111, 998068710, 53336019, 271221643, 686185210, 59053281, 807698197, 527467880, 307287037, 525134814, 745783578, 240477706, 187411622, 365800408, 54657038, 717871325, 522998505, 826300287, 937625639, 206807774, 385124374, 841882635, 456257041, 840270150, 502472220, 634167501, 60197698, 684469075, 324091166, 246537801, 911404939, 938963421, 856074482, 470517198, 455518708, 588803799, 174103168, 605169178, 936198349, 806686205, 614782649, 621944898, 642438491, 723130554, 116541384, 551215491, 510102981, 783898178, 216546291, 519531987, 321302529, 981670868, 663746942, 806814049, 157411822, 660622507, 626200512, 582293740, 833205103, 810942190, 126593377, 880999919, 540240373, 402444052, 282843462, 397314369, 677500021, 616425648, 79288720, 786639940, 398618490, 296197566, 577369521, 527680592, 438570544, 403798753, 369575555, 429534677, 970986005, 679032533, 260110126, 238755865, 327307011, 923594372, 76810710, 436176637, 358905244, 820682778, 785511513, 490613897, 580928416, 680884286, 324711951, 616866844, 39374026, 435151742, 448243066, 920599169, 256931703, 1378352, 123205655, 862226322, 726808544, 173157251, 80861403, 784968986, 123805292, 694601331, 550031962, 721640608, 536661073, 957470485, 992616542, 614849563, 864997100, 860350886, 629415263, 807302948, 50654537, 176520556, 256483336, 21057169, 140284803, 364396755, 808311208, 754096698, 317507729, 720234591, 121513484, 105109409, 408097275, 827961429, 74567277, 393220821, 168015973, 223080188, 78860942, 765871002, 24940744, 212519243, 33126979, 503446877, 719853557, 712121025, 799423134, 189718263, 102982747, 9090378, 867224821, 374030050, 747268257, 404787991, 302754031, 921061304, 898884600, 550877153, 397985000, 916771928, 281920640, 346754714, 711890060, 897549233, 591237469, 706880930, 208186776, 861209297, 892134799, 292943608, 441066878, 233628139, 758181059, 963770905, 285226616, 203585909, 503949114, 244625503, 51439362, 148257595, 802244300, 593754659, 390137410, 239804814, 975261661, 739550067, 53238290, 996958392, 917898632, 990227161, 782638064, 383069906, 870771427, 353607856, 467858814, 887190767, 16552162, 809252697, 869458550, 67232650, 392634309, 675700642, 838239836, 461603422, 567275394, 92362477, 368114508, 622687895, 233086634, 307123482, 936599887, 113514929, 110742724, 469988310, 391124793, 573743471, 337301160, 752490339, 748799081, 725602007, 715012736, 459366551, 316978874, 267882797, 795626777, 282541818, 582920649, 141855890, 976064780, 622635851, 765277908, 469567754, 968916273, 941988011, 155272561, 781624035, 608345624, 735361121, 857449631, 998653676, 787203642, 55801310, 378028684, 482803836, 510317322, 987377909, 721468274, 377644071, 777397289, 212008810, 950118485, 926497806, 564262703, 124722275, 527210741, 237055779, 83996116, 743395938, 879311123, 388473003, 354512244, 481981781, 352634819, 650079386, 52129161, 599118844, 255743451, 212986538, 318376355, 867985568, 27480865, 170512258, 422289265, 960355220, 967169398, 246861143, 519630938, 327863182, 246915178, 236606563, 246601499, 59287481, 943090185, 508211884, 167713353, 313713969, 283753266, 583841413, 406023418, 349817947, 207495040, 658270629, 447154838, 664281323, 536161455, 802694505, 785100287, 877142491, 735671758, 81141095, 318101189, 286747824, 322360792, 856616956, 523053496, 810371777, 570868729, 260744999, 374067624, 261152444, 316000407, 148960715, 705829965, 777199703, 427427282, 507984524, 522557366, 724887494, 407368112, 221457477, 806605871, 498800, 516860436, 205542805, 692814836, 810744140, 501441005, 401747357, 407949656, 591221566, 988171225, 54683455, 213602235, 420825020, 299673322, 639116724, 837166891, 29050374, 346970884, 912052244, 889721176, 554432358, 295829116, 259629941, 484382938, 608841527, 291147502, 225078302, 128416854, 924312472, 136952909, 663501488, 14385674, 171291340, 410115603, 239367818, 728664271, 225717247, 565770640, 86585542, 920553810, 352642761, 778959415, 636689111, 23465408, 705010825, 851526461, 550011577, 425818051, 37348765, 825483750, 647063284, 570934033, 604802294, 254938480, 657569754, 334657324, 213393460, 420461729, 33109290, 446335356, 741952748, 233032795, 586306174, 602333181, 741645410, 853953394, 224925232, 115882375, 252845491, 301077282, 187981426, 965583985, 247580297, 823200903, 909428087, 716577179, 633601763, 260876384, 564104053, 807040416, 188264882, 348781643, 803627117, 244990517, 273321004, 725318980, 615572396, 39498160, 730345484, 474315701, 867292753, 341814138, 832457604, 905754692, 231160048, 527208888, 117569761, 964143168, 531537027, 582660598, 634893196, 106488951, 848945447, 789358397, 800635778, 316180842, 477810384, 632105569, 30767581, 596253512, 638851157, 589026750, 626685040, 738476120, 635861273, 314656399, 614330164, 811731929, 715547184, 368494553, 562760133, 41816112, 626983763, 8194842, 757300378, 345687938, 95444761, 8971971, 330310294, 138356915, 844992711, 780811685, 863554316, 662350015, 981756217, 661955497, 512497854, 703673882, 280326017, 676478408, 778118767, 682607620, 794645990, 600398395, 318483546, 999860774, 42112281, 681169701, 389190111, 374479304, 165091218, 179654935, 192204407, 339942717, 514737876, 326465186, 118346620, 512710300, 445580637, 725811356, 377304039, 461932548, 180361052, 807554668, 913720589, 265417647, 848193485, 185943915, 64297811, 950493455, 787253268, 559585671, 341877152, 175927661, 334495796, 373652749, 617406918, 448976728, 791885299, 938738451, 51290715, 295362657, 511179269, 22809087, 670991333, 557855457, 803925120, 765720056, 639287938, 890492928, 640082325, 299594856, 832731543, 388835206, 380333394, 443300955, 272268885, 571256894, 487628466, 691066275, 210610707, 129572369, 869299345, 333074003, 331818166, 133897841, 364810809, 120629508, 640044402, 833482484, 145188128, 250615525, 521098445, 849284211, 679111535, 61138583, 462515827, 107309927, 147410124, 85890289, 318398374, 789104268, 131232588, 471014219, 604098990, 380347796, 783104114, 666053013, 871355714, 669707933, 684729362, 678982684, 905014723, 659892980, 29714059, 607467859, 54953648, 652402137, 349656086, 762828329, 175260487, 105234683, 339450770, 434469144, 71220204, 237299375, 23552303, 427174750, 193912752, 554412405, 403006898, 477540341, 324568645, 947199258, 944542423, 155212816, 788435576, 168303546, 605365603, 176348476, 907402882, 628923361, 954471946, 183235945, 412809346, 500977065, 395080997, 250472386, 804674550, 962748593, 515585346, 823543276, 146569904, 351409950, 472993284, 245757274, 880989445, 295414688, 873027126, 427140652, 991087376, 824675374, 650833659, 470600721, 284006109, 482634399, 445175628, 382763213, 59341009, 959366803, 115887586, 841149632, 801656037, 159396796, 870721109, 894684640, 870024808, 142151601, 976463540, 176548338, 514887022, 96806638, 399521456, 574615459, 639210481, 504723047, 796723492, 619572303, 116826919, 94579235, 116884583, 153919823, 135279771, 415762314, 817908996, 88828940, 191636900, 426281509, 226750315, 334043423, 326769652, 44865237, 857833884, 735101782, 794433634, 948588810, 936509079, 289768996, 453085666, 261597372, 488613416, 67758472, 639039031, 629940762, 900155892, 893599286, 807496848, 141035785, 782778812, 789147084, 820212575, 296645420, 79656364, 777498863, 118524662, 483148699, 723963625, 363829322, 912224501, 239986110, 887182951, 484684429, 138960745, 957646373, 290538004, 440171708, 388706232, 865681130, 729209873, 358156379, 927855997, 340320821, 269180127, 938533825, 84374690, 416394385, 555657978, 625197583, 983818431, 188416557, 261403282, 184150521, 442824203, 803456288, 547608601, 427387712, 275010112, 852538940, 323086781, 58981626, 386846320, 11278913, 89563679, 798411655, 402992873, 280588808, 116911295, 288761403, 995082758, 657556732, 485901727, 186883106, 701672336, 924718199, 609923523, 606301499, 520262188, 270989733, 480436847, 967682899, 330861062, 636803866, 991775943, 171307032, 166368071, 661030266, 512017247, 348145212, 138347781, 631368715, 789559899, 990751422, 494237128, 281065249, 7615764, 730338844, 519430596, 330110857, 35750085, 717076012, 107969491, 893002651, 971619526, 789969963, 919237823, 562307279, 281653231, 611899944, 325082975, 744507435, 50639652, 837082800, 93860132, 596145564, 438928275, 490370869, 885224095, 405179414, 123088757, 874938906, 969959067, 92166159, 699889154, 574961841, 983541352, 318441931, 529270311, 897074337, 571661292, 503894312, 237235732, 538368140, 181015687, 437216500, 388270648, 744903113, 652092497, 489021893, 789428177, 11518842, 140106741, 95994479, 645610049, 819553615, 206045389, 862032829, 49074325, 259461578, 65665383, 242709385, 818714001, 679539021, 742793720, 212362627, 322831866, 680828884, 897051368, 202707437, 602448191, 915181075, 638850499, 733525873, 48090948, 278357652, 108805153, 406270851, 482391470, 716730070, 751798375, 693582832, 338346987, 662641100, 90181056, 796463148, 15491621, 947727855, 401391797, 703770580, 188089902, 647585978, 736346528, 776731387, 900945780, 246799618, 392502427, 933419884, 262804187, 671946866, 64651740, 947082337, 263490444, 923914842, 575594277, 102174694, 802031105, 347492214, 853801553, 734552898, 114742428, 396374789, 744018915, 543683737, 137586380, 690225962, 96190117, 335851693, 239260890, 716578077, 979368567, 483539787, 803765079, 951093732, 295734572, 344632408, 674771583, 847826720, 107087323, 526444498, 212290010, 768165140, 585750021, 615909696, 703634135, 278155126, 721767600, 324525799, 635109063, 974568025, 229185519, 872348228, 846998436, 827400780, 329258480, 291177182, 607572311, 905841432, 389209918, 903761194, 216657559, 126103709, 436082951, 455131256, 20030753, 757727071, 784894297, 914929410, 174649086, 967855563, 50378868, 764852662, 124185849, 700620842, 454655766, 374270105, 711527338, 724012851, 245742454, 952575170, 356505130, 39749591, 154138480, 199024850, 783659183, 860259405, 714117923, 409183039, 585029155, 409237250, 779488707, 349294158, 246047000, 922645648, 174005549, 442272778, 449382032, 44422906, 861828586, 518370627, 646906342, 466552068, 313564982, 230468785, 491703384, 118907906, 342975989, 403044520, 986150796, 473960987, 988596066, 483056144, 899206886, 976220354, 393727457, 738631586, 35370017, 209638120, 663916348, 435648236, 359787862, 386042271, 838972743, 480436658, 717486816, 337560499, 856561019, 189009309, 691866877, 589908424, 690855758, 677043855, 52236294, 436942311, 138668715, 903881266, 644729156, 570880819, 851641829, 119130578, 158647249, 265067536, 319133278, 602881591, 575044966, 362670778, 701496650, 778913612, 800258318, 780771623, 871265949, 797052451, 307124640, 111567894, 510433264, 978617952, 438011365, 667369847, 258875161, 619057842, 403681504, 15036410, 522672305, 586707149, 327105814, 322191246, 200907823, 223097583, 998000572, 214975558, 189730824, 54242317, 151713854, 37541955, 772262903, 206820408, 70239638, 175495493, 804903289, 452176825, 485702295, 408031754, 369444439, 605991969, 768275146, 432871122, 593203761, 260875095, 535117890, 432772473, 468604422, 321045308, 284761307, 573821579, 981280943, 105413446, 724969841, 837388010, 563594099, 313714916, 875058114, 853900500, 314941784, 712833989, 682891818, 448259289, 849915877, 603256707, 336711246, 213445115, 662233881, 956868626, 312091558, 661954037, 307145295, 910499556, 357539613, 952564625, 301223959, 235023799, 809616831, 835059706, 541107604, 899684843, 159481304, 350845391, 183445280, 625343229, 897354688, 607674750, 980072154, 758873997, 720258613, 364512220, 352867464, 557207255, 68690418, 34746833, 208075392, 32104559, 340166799, 987626891, 882490464, 465427317, 561139561, 212020148, 934778728, 688780560, 162230586, 11971330, 204207346, 419325044, 460525608, 793243678, 127202430, 613961849, 606760899, 10541522, 677618950, 322500030, 224060262, 143124351, 762240382, 938467224, 581692656, 609097427, 886957669, 247419971, 229756663, 142209943, 934782713, 471522904, 859496502, 614574162, 843776901, 205266383, 398047214, 57288355, 532825942, 200137623, 470495078, 144524624, 170326815, 376015095, 533863867, 759673549, 998699328, 741941265, 516667024, 169375742, 961912723, 361564545, 810905419, 262778980, 818617122, 866746048, 350055198, 79455569, 205261501, 30507996, 600873300, 848653527, 769764347, 939986158, 977138688, 444563569, 661968506, 655885411, 98834877, 74018776, 68329601, 589462281, 100905093, 484075444, 932004257, 817855771, 443758370, 378798110, 286922747, 76274185, 10150141, 52709425, 353614094, 128742904, 158588337, 918401916, 609906979, 700645434, 941063004, 456281942, 352931440, 675107287, 778533508, 980313993, 603828476, 301556626, 52393242, 663081592, 572038496, 283174646, 202529124, 610274558, 666975754, 437269726, 932548569, 457470285, 768680411, 429334727, 543159409, 945879960, 694322962, 267777562, 337683334, 211323421, 524454134, 561237792, 548634924, 636213244, 336610837, 863838724, 505352823, 737092209, 308173744, 26816973, 892715213, 532592258, 770782103, 18622928, 806730039, 999589530, 696950731, 561519435, 749233635, 697751756, 793045245, 10530105, 213733422, 462718188, 203533897, 168461356, 56592899, 616317937, 571128460, 308712040, 364767615, 212558881, 147632306, 663275009, 10242970, 541348990, 116874199, 90471944, 627029576, 898907920, 531683895, 320836897, 847778265, 706685937, 358451669, 949264036, 106725023, 259243854, 440584444, 931306379, 409688476, 444747466, 169693624, 159824607, 151902134, 788435556, 621969997, 20034060, 359296648, 131477712, 23510418, 71349329, 423224598, 617575737, 769855159, 570396128, 638022111, 856095407, 338747191, 714293692, 783942519, 791649905, 896330191, 82598064, 323332464, 248076316, 537864339, 785484393, 185044856, 694587856, 220663768, 156993559, 803809791, 163713227, 78241483, 63459609, 852219716, 372348943, 153910385, 76181153, 18611722, 143752075, 797446352, 442717264, 429358222, 728905465, 655732300, 548559980, 890089888, 712937001, 547964127, 971802371, 589593282, 135410616, 414798473, 976976197, 246922560, 323642778, 112485706, 763674751, 214845162, 675731454, 661514323, 182964562, 859229256, 450660940, 243014003, 128099180, 420019047, 856121028, 404993399, 597692910, 762714258, 395485188, 376083143, 476028465, 979701564, 242754010, 41257038, 161340683, 256142972, 787489415, 367095526, 688020922, 337285489, 924587111, 502487129, 705919011, 434231190, 558754565, 62291718, 189199207, 340204150, 246259252, 531298199, 758049085, 231467839, 957339598, 748888965, 281708, 160379157, 456038638, 747327265, 427242777, 667172234, 715804440, 590029615, 188759074, 470590126, 461241144, 715405580, 692451459, 108256736, 86231335, 645124093, 770589730, 193075035, 693120435, 513004794, 868633932, 523097784, 162059453, 645357818, 818568614, 770066142, 140053890, 74348168, 866794075, 985620547, 529420181, 551581940, 258448379, 925264682, 37512218, 836344874, 492169271, 711412412, 341338229, 57369969, 562117697, 252689440, 555765588, 941919391, 545248167, 750896944, 497525939, 979434766, 34349308, 702125976, 431644789, 7534854, 279318784, 979533144, 242467133, 481612524, 766440538, 391476320, 225025370, 315918345, 780686365, 871771434, 666013411, 774543693, 191355517, 142234436, 951831670, 151530222, 352637166, 250844024, 967281828, 937359112, 334547754, 572096656, 839414090, 383703465, 590005873, 374754170, 330641551, 857122207, 294256817, 916719887, 382879295, 72598427, 32699200, 660056894, 728326288, 477209003, 873286887, 566960855, 243491282, 8787124, 460818212, 27345843, 983620271, 934028160, 104775365, 646849451, 769927682, 745545742, 856821237, 866330868, 446247615, 725538542, 405603064, 31232245, 150584408, 125357611, 465929638, 679513592, 604678829, 177306990, 564964163, 742374941, 69532808, 760634506, 101180948, 731010851, 280811032, 508861716, 398751391, 734919634, 218992181, 74238762, 786789689, 986910309, 41684574, 388791481, 928682614, 943817798, 395708186, 744931239, 451238942, 704283278, 328983643, 417098197, 300767095, 318176186, 993185216, 798822361, 887890169, 160392928, 989790632, 960382009, 311767421, 643533816, 764395459, 471139047, 374925480, 69200572, 497588713, 355469423, 111454915, 976381007, 835642213, 573759419, 903537791, 295911053, 216639958, 170374734, 755872914, 499500598, 109732792, 140779883, 658225161, 557510067, 634950527, 337146289, 21663321, 61548589, 17324940, 498680761, 400656237, 934586170, 632432153, 101496090, 397722235, 222029780, 471138321, 235809453, 7750640, 288424380, 229913019, 971234797, 437201747, 657168457, 557876862, 574282910, 349258255, 923755638, 439911445, 73089678, 139894962, 956953073, 692262289, 671080128, 351030678, 172789877, 958217376, 606565252, 387497466, 516609532, 332382153, 472653680, 856904874, 118370612, 527373378, 54449274, 82145388, 522236790, 413478456, 822588007, 428622596, 579107894, 235944912, 107316345, 292786660, 44302588, 895345529, 599649088, 673335957, 782494371, 526554597, 533156686, 627478078, 474769492, 772508830, 280580678, 68355712, 683801907, 180479012, 703392650, 37778140, 223314981, 664241539, 154865145, 953664582, 674212168, 910311027, 17782610, 518044648, 657771781, 594388300, 56746861, 725818611, 861851453, 674155634, 618613956, 583570024, 943720556, 980778381, 666474265, 552481453, 640310826, 713260841, 941292631, 901798245, 200287261, 809947964, 268406650, 539594846, 949547469, 528741271, 153345135, 279413164, 609880628, 986037675, 379125257, 503342114, 57687379, 626056123, 276024130, 978431993, 198888593, 933116522, 403494470, 6928119, 885536173, 821580891, 974375702, 261090512, 755816186, 618690194, 67219275, 393322988, 881518238, 752071913, 283520128, 652155102, 674434609, 484551103, 624832366, 752868357, 512097841, 379244051, 445132024, 974460660, 363028579, 6874969, 250953489, 705997960, 48991132, 476638206, 843845249, 465596430, 194105032, 656575431, 654881973, 900563095, 80279676, 381439151, 609359732, 891709823, 715516057, 228216541, 847694029, 821315035, 360541477, 363845282, 987023658, 505837585, 209209190, 236444598, 953035814, 315490609, 980838820, 228307374, 644561617, 196270943, 9254941, 532817167, 273924567, 884155247, 601202434, 308150367, 834668736, 876534523, 838149513, 606322725, 227778444, 167683437, 191517783, 145435289, 274083749, 535703768, 812367731, 431891234, 698781132, 661511992, 351932088, 974009259, 633830826, 165957337, 418280078, 997414259, 368480267, 637227862, 233543771, 491635629, 693015505, 929079886, 448451892, 793729464, 184535925, 40599160, 553583001, 239196061, 324110871, 675155179, 220440163, 128438268, 277863447, 944990152, 178693379, 978682455, 166763445, 534196012, 151311001, 306723006, 128460992, 39237382, 175347244, 376413562, 419148593, 821441359, 316366575, 656785837, 186487943, 931889246, 682323257, 635603200, 262023278, 980330556, 950479837, 195045250, 112688703, 12679190, 34059048, 893639030, 614920146, 172557405, 246644828, 81480109, 282908560, 129594521, 224203557, 332528784, 170238950, 968822602, 639962940, 305505806, 778672338, 159776724, 433032717, 402623453, 688048747, 519673379, 791614817, 833738802, 723908027, 634816206, 91868556, 494758300, 861615915, 588071767, 712717132, 441384025, 664269990, 584962110, 420589044, 429778924, 856583103, 857212530, 104379549, 323036744, 993895849, 341234903, 295557155, 160542746, 766670956, 775739221, 519900558, 25881699, 108879159, 41485711, 305758089, 232072624, 491383580, 659564379, 789176775, 864796159, 318293600, 733285122, 885263820, 874955210, 413929246, 705871216, 249463673, 564356735, 986557035, 341969050, 613810143, 291446674, 566502473, 598395702, 898031857, 505579680, 361012711, 647508560, 247417847, 401831307, 148704542, 385352661, 147977102, 777942575, 411629724, 905271507, 397094785, 969600445, 45755440, 254915025, 410220775, 93483053, 684824053, 894518190, 621707319, 268542349, 551227172, 531265861, 894619580, 423728630, 54193442, 893011623, 325406729, 516927609, 573046494, 867793214, 75405460, 693236639, 959445383, 154383084, 95273405, 401999555, 725242222, 141017084, 286914405, 438528218, 70293461, 195065644, 333990115, 407783656, 783446028, 2718859, 615529927, 961938888, 608764422, 431641245, 772297762, 644113138, 32940002, 236793275, 931468514, 574942940, 493347008, 313995593, 841597018, 472273311, 636264222, 94800549, 356146909, 806666173, 465366862, 136687333, 509478966, 393778975, 57087691, 217478205, 856652678, 928623875, 522910316, 675064571, 905980428, 955432379, 963700290, 192010413, 138414571, 751295162, 627267739, 562919220, 505173893, 694985004, 452463796, 595893908, 316611872, 238485372, 88548817, 448382113, 765603069, 505940461, 689720889, 45735490, 653727364, 478330070, 169123248, 935841814, 924247522, 434163582, 27562616, 138793333, 542552482, 970788689, 370873414, 133978434, 770491668, 650286552, 501963448, 913588062, 866512185, 120255658, 936933347, 575710004, 742762026, 353305672, 810887194, 628365981, 648458010, 976809617, 494013201, 458032947, 149462249, 316609080, 192545031, 81156001, 462179430, 77629050, 990200624, 482445380, 633414481, 30919382, 198373081, 826670428, 78780518, 500799070, 244731095, 731851006, 714799389, 478090528, 683395212, 220561791, 57677640, 581684318, 24592425, 807224603, 253923794, 6648737, 641815160, 946515629, 601189007, 295429589, 724166194, 103904872, 895479827, 459849278, 181590841, 597362604, 213238411, 426348150, 497527986, 900475387, 254685085, 371576512, 526145244, 983503716, 662183889, 761137791, 472761606, 150872941, 588067951, 627816084, 34039018, 230224992, 802999123, 149621444, 560788397, 742565733, 303163718, 744034431, 464943601, 254249756, 553700034, 722290998, 356024927, 825862682, 394803470, 124235317, 126375142, 458281212, 167836352, 682499975, 680669224, 651982925, 15846862, 38973407, 379090352, 164858392, 343924897, 947097498, 690986656, 429871319, 207274775, 638018159, 275472469, 665721478, 81313317, 964954965, 5652119, 57835003, 455987719, 405609314, 10652910, 129502143, 656292835, 292339942, 807802627, 661911371, 182866301, 9614639, 35291383, 34143555, 236889110, 112488112, 390946784, 919510703, 526791905, 596423793, 777427963, 525126199, 685293182, 621550648, 588240691, 73290389, 397584867, 30306696, 84789863, 399633369, 569638017, 961457575, 134153532, 794522547, 430686756, 961658782, 8314073, 146805770, 473978514, 130841861, 595136075, 517019641, 174534059, 774452736, 460972639, 330680974, 471300943, 242130090, 501049571, 383907314, 18244414, 925917097, 3499151, 184166853, 991353060, 477466196, 61732065, 654069549, 861391821, 169048962, 158945643, 905870925, 434183747, 566267316, 310778060, 768418109, 260314359, 873192777, 370778554, 883214671, 842218534, 698444901, 794451012, 252503505, 354587135, 49969439, 118413335, 491312063, 285801589, 151179962, 880912908, 467120575, 380898564, 35781682, 46226363, 107864371, 674688589, 218777394, 332618017, 417727475, 62360458, 805487739, 903000237, 406822638, 8444485, 317444833, 570144854, 201277147, 252818364, 265594487, 928712547, 753765319, 44913413, 398548478, 449330892, 994246, 218534696, 473764093, 391775216, 737505453, 932344134, 577715135, 683129262, 551421305, 274722668, 832058276, 546335462, 340031771, 504443909, 45603197, 66319610, 952448177, 278348156, 478690854, 64301139, 100265770, 619103327, 138592617, 699861147, 601941794, 530133207, 652322072, 381043150, 142886516, 772277414, 69469121, 867496664, 973485975, 841921732, 774037486, 813260857, 574275896, 950229980, 2429869, 187137962, 917087000, 14413231, 675373787, 419441974, 607437476, 203539393, 930967964, 870820072, 403849167, 930483985, 590949548, 240192998, 686820273, 312838503, 818449881, 232260230, 358981851, 918851287, 15818095, 176690302, 10054499, 608789773, 705916783, 929215594, 63324756, 660465474, 357764737, 79972289, 945229909, 741139638, 506401654, 581578948, 323479599, 434310178, 708657990, 433584891, 996512177, 547245284, 543965365, 509077262, 337770930, 441787141, 949307032, 100007861, 417326601, 287323006, 308480604, 855960009, 889511173, 920221349, 959703408, 453225351, 69551540, 871859359, 184595549, 594760432, 877916111, 936240980, 749509577, 602518914, 99513824, 211537733, 503743879, 914846533, 55307954, 550399533, 272385891, 480041265, 75919434, 220065607, 889405185, 873760112, 961939743, 627407044, 7637873, 990829265, 189548478, 857273633, 412403858, 319408915, 115397293, 470525240, 438044769, 388161925, 81221404, 343272193, 168773078, 414451980, 927169641, 840432092, 60200394, 287938449, 795715272, 103322605, 342531602, 429124392, 804413389, 850634660, 11194999, 520448403, 943934586, 732085757, 936418042, 320333736, 689445464, 346809456, 756848603, 61557733, 136623175, 748145390, 546592825, 41839616, 811967140, 625398456, 265614930, 828807344, 780796487, 58990671, 216059173, 805632215, 36971330, 865153510, 466344612, 625371751, 155703511, 403433621, 867609387, 133270048, 957249520, 557258079, 722048102, 103390112, 285914716, 688695462, 14889747, 21825532, 848465385, 847284451, 689945476, 609440999, 505304158, 385561927, 472701890, 731590588, 524632271, 957033094, 735397318, 431386154, 38741870, 607232941, 732662979, 405839283, 870043538, 593022820, 531163555, 390074488, 590443214, 427400915, 468155080, 98198300, 459539122, 728999819, 741603743, 849546455, 242371107, 473193379, 274476848, 832302239, 280073036, 62152143, 839448346, 141824282, 623238828, 742242125, 185531734, 483202674, 878019727, 16752256, 963041291, 492202018, 384359103, 577813656, 293771873, 377164994, 275864029, 591155379, 532202419, 60521339, 982902983, 271593107, 353499620, 488996538, 536796034, 597486273, 938422163, 979072282, 696256158, 774146843, 508747583, 349838551, 539626011, 909820265, 540231806, 268467466, 426775704, 360011330, 217643095, 785266779, 656046786, 146912279, 642111574, 126309692, 63464792, 804443804, 722000858, 284256700, 214862883, 514106659, 689616573, 953826865, 298043131, 374698265, 547862100, 438351110, 501557323, 6129727, 126773850, 14072773, 655938717, 710586504, 133854259, 86941392, 56745710, 241845514, 184145766, 782259519, 347597373, 636764334, 16609372, 743841760, 548120262, 49431529, 898793315, 799298252, 479355751, 825194621, 310899884, 331611391, 566646319, 807883733, 517129940, 515938140, 733831381, 256386165, 736995747, 686120613, 966306429, 582998755, 55934710, 521003609, 267320874, 967655392, 525803263, 640505915, 982330372, 296839831, 876544264, 744601599, 710686106, 805012920, 555330192, 990241991, 876252153, 552172492, 530064934, 140030733, 965787233, 246518895, 710998686, 115434236, 613596595, 314812599, 109094555, 172652523, 736723794, 310728266, 703590408, 207549285, 310888248, 411690089, 517121388, 251549134, 689441821, 439706738, 460609898, 179746000, 939234441, 218749407, 343138620, 282104146, 603663822, 576233223, 42800157, 896132805, 754703490, 458469521, 490350175, 286781349, 873432803, 675516680, 45617457, 773821869, 860722992, 384068175, 116877532, 875767891, 330728248, 521761184, 747436269, 343445706, 331982156, 693539793, 423865207, 78546411, 727930859, 177170751, 59590166, 404000933, 942230814, 233526134, 240486942, 791300523, 52884721, 503581288, 987180327, 860614582, 101121765, 558620090, 564027921, 342865253, 201929667, 481213172, 822253060, 948216668, 414079308, 42449612, 49783742, 650272608, 637716619, 288975219, 400084104, 854553232, 758102546, 779793185, 560329893, 460365468, 510395043, 27537479, 934905343, 739246393, 54953035, 745765655, 225243724, 197815441, 585376039, 553208326, 542473993, 798701891, 200769929, 773024395, 394986224, 856262911, 417246375, 739176610, 930577819, 484504752, 306620225, 15621692, 541382508, 369083814, 692397, 501500906, 380744893, 87947670, 191344390, 4077235, 743865683, 664489456, 298719208, 938004182, 231367576, 647202152, 883331645, 529744469, 856625485, 125122127, 485921030, 423619858, 711984330, 552898347, 225710203, 998979190, 398243972, 681149413, 462697954, 831502859, 915299904, 346880581, 122978255, 626238894, 773600477, 939786137, 591806048, 915165803, 498763939, 114814837, 101947980, 441782771, 977571301, 488527168, 92606068, 81217753, 506771393, 149250969, 757114504, 921918855, 539167192, 688695788, 900210907, 942083600, 380940844, 668345257, 325013060, 105849145, 372188296, 733026061, 913919282, 192799489, 315631900, 185339978, 380221455, 265466568, 451759051, 364643351, 203591307, 394905865, 496498951, 387985854, 257370413, 757270258, 776916265, 464924170, 672253182, 685607618, 861189577, 454751282, 854187117, 436624941, 996597851, 780448920, 510926924, 921431998, 761878626, 736577108, 777911635, 583440432, 35943737, 652549544, 675561674, 626065631, 215709573, 109510431, 930799406, 215849034, 201379357, 513049615, 386030881, 589919353, 364274609, 324050709, 319168128, 874837522, 797863137, 359613078, 477473574, 4008190, 235856689, 38080743, 419105419, 717840501, 412476512, 218906034, 946200794, 126664968, 279532420, 10935145, 285625031, 247213061, 799426257, 440773759, 504444523, 393982016, 944057572, 901772685, 520558016, 457434162, 850273402, 693089251, 623308373, 691002275, 716673987, 763840263, 775950234, 75699646, 109693652, 413677083, 79329986, 990633290, 623156852, 184835268, 328127669, 345549715, 996113406, 320617475, 83944293, 866874687, 690432371, 336212778, 108712148, 882212362, 544256218, 25944592, 604741511, 176997982, 249781612, 619260866, 911634710, 429403664, 829192628, 207393763, 828713249, 264300551, 677347448, 36105324, 819603495, 167808657, 222084465, 887409209, 301666820, 472668016, 299918680, 678228690, 553278684, 347505782, 614453871, 609444444, 504086630, 146767029, 350623220, 842310530, 295471744, 61966062, 995828364, 404471237, 171706462, 871832720, 749340886, 810447015, 165391194, 31484329, 562211656, 871400322, 629543470, 15618314, 932800824, 20998827, 913338310, 538031792, 494221503, 538754386, 117892948, 108804231, 260503398, 796904156, 236996635, 259327804, 865257547, 430505754, 743314894, 49580071, 55203105, 748854594, 14530801, 555210778, 481999594, 627159452, 716652777, 510171631, 754202806, 67823423, 798780979, 741963456, 182136443, 451000972, 849575084, 636185519, 918749173, 518909674, 744236732, 719808085, 325828790, 997946625, 812331768, 574159737, 816731726, 119665845, 92143569, 411319501, 815001129, 707427224, 557669191, 719254203, 589101653, 58670420, 891480517, 429272299, 98290621, 70996104, 544756970, 114046580, 204682070, 368495530, 865154696, 724421540, 383615286, 156479286, 763327095, 934443394, 315972798, 259680518, 607890589, 905498598, 678432401, 222325312, 491137753, 347553486, 261960740, 83440771, 826038604, 625939262, 843495031, 456551997, 665399128, 348048258, 637146193, 375648054, 992241725, 624690957, 192455667, 226991159, 112336004, 102415435, 94766586, 357316942, 958508289, 109431600, 378686952, 223110976, 365387093, 61790558, 4305345, 310479177, 620222449, 273974713, 492539519, 421552689, 634064587, 428545232, 36759194, 688008460, 650818686, 605205452, 907320328, 40731160, 835361205, 971397789, 803554846, 968668888, 268427766, 832442624, 262546396, 60385062, 874408589, 253428235, 824310062, 637937891, 751278161, 537610047, 773123986, 777663096, 235932097, 191042306, 60387045, 959395889, 335934931, 545651919, 631973753, 64328894, 151924662, 902841180, 518629371, 106372226, 607400728, 417862232, 484763043, 48382581, 7238106, 873986446, 496492409, 838480870, 327608294, 598002963, 732081293, 848459801, 52710376, 191494163, 10034804, 944895442, 694093035, 520439146, 341400096, 444016344, 40333641, 864475497, 478982999, 877753800, 211130860, 386075565, 532641885, 746410110, 26511846, 439800408, 676618816, 186060085, 738260876, 673950048, 631110822, 143242456, 853210207, 333146392, 177698261, 225875153, 872990838, 108186180, 603743634, 580998998, 676431138, 975801615, 559819598, 465184647, 425797421, 469370768, 571353559, 436037778, 458740016, 472613564, 578039894, 278203449, 92384578, 939028913, 2610393, 4685679, 553893037, 110810620, 442359464, 507257727, 433197926, 870915119, 354035288, 240640403, 964431858, 68764901, 878372096, 564141506, 839282659, 781044717, 651138230, 174714550, 657829470, 707127707, 327118806, 290654483, 987421374, 469931230, 210978542, 970343452, 618517645, 625746015, 506944666, 733026174, 410555968, 330093717, 125541689, 170430635, 451184975, 315657565, 347749123, 291113714, 219714648, 701350571, 694094538, 245040473, 311765590, 193670467, 41349642, 544700076, 864321874, 406380460, 29093898, 768000128, 867175163, 164161404, 82579138, 129798057, 173496475, 499968, 305823159, 298906017, 548712060, 808205467, 540187711, 243405053, 484846261, 780457000, 316392083, 144063002, 513202899, 820339603, 886763602, 780455108, 31570907, 309037081, 297912821, 205200811, 483836632, 141187810, 563180374, 226082717, 616268183, 266623128, 71716190, 56218417, 462688011, 278562666, 254508093, 12907112, 484587893, 343510996, 77818150, 781459062, 247887727, 963792585, 570210730, 330814795, 137635205, 335435199, 609717095, 516267557, 954613012, 18640835, 899463031, 5381238, 203119750, 775592130, 169488739, 212373519, 879232312, 474425822, 648987251, 144136652, 715548053, 627105628, 359154330, 923911573, 457234803, 660105343, 380760875, 64943931, 680729019, 373005026, 756841016, 604040149, 513434184, 399048364, 412131708, 526512018, 737764716, 437549843, 124651879, 146339268, 629990338, 88174945, 636285431, 612383982, 636818299, 61442849, 135261181, 824410190, 670066409, 547052861, 225501824, 465557955, 913516493, 706347186, 451747018, 629495110, 293143200, 362072734, 514092985, 331306986, 879007223, 398825355, 31280976, 364029104, 466972992, 225573984, 683684129, 295127707, 692487117, 354498439, 300385785, 183467775, 695375073, 175391772, 462259009, 370561361, 432845065, 428155631, 377203975, 29199072, 302569894, 153495087, 737490044, 212686665, 913118944, 734649581, 749029946, 522379753, 885725981, 292515587, 811209122, 709282792, 452520489, 537071427, 530717233, 663290400, 452339825, 739878071, 293684009, 413203968, 980234894, 840218977, 847896624, 759571188, 592739820, 704988836, 471315132, 724100691, 139785401, 780068022, 797409837, 274482270, 197083337, 736719892, 288913058, 702436445, 897611858, 78530999, 212968490, 955044941, 761912531, 175000405, 150933446, 194757998, 617127022, 445598301, 975755247, 314214018, 664159586, 788275013, 838097427, 786750770, 570554307, 28431834, 291248139, 967021, 838120797, 376691541, 917162576, 369592343, 139847660, 748220124, 740354800, 721264546, 560067999, 672147147, 515952403, 387159939, 386230554, 998883730, 402477236, 609388772, 229545479, 638399609, 961063483, 941202497, 425049714, 65636938, 549139890, 536488189, 47581705, 748415721, 787541121, 748973777, 657351309, 612151374, 895070220, 952641990, 345503879, 870560007, 517880366, 551503116, 637567067, 662041833, 551875100, 744607830, 518523952, 686118059, 292517752, 461033110, 243801198, 184177760, 917381610, 508594634, 622815777, 200517875, 307967170, 293682463, 442524763, 658391749, 358778425, 84651907, 792276831, 397953175, 998601867, 357636412, 979967701, 506546606, 864539464, 214334619, 233357200, 234772717, 717277520, 193598121, 329751059, 96036989, 904047526, 261761569, 60421522, 813719462, 684679691, 742738791, 854976801, 880666899, 131626387, 752310513, 722703350, 211832185, 15785901, 345922588, 444606484, 657688263, 85574049, 766389887, 783986778, 85179165, 620858762, 324410091, 761454578, 284860430, 995203058, 139583991, 952564753, 936725044, 377390086, 227931860, 96502543, 620979746, 770202432, 591384898, 89307983, 623223432, 542011215, 103097426, 157565491, 737500924, 178629117, 926298481, 319923850, 229653554, 585947167, 280693975, 224360660, 984173369, 50937479, 504251750, 315233352, 577829310, 805372831, 741266914, 661554790, 239112590, 54537709, 850444762, 384061259, 223182865, 508291491, 789188968, 699965037, 283772547, 420626274, 140946215, 525394009, 535204655, 525736822, 568361031, 814574304, 648909831, 269389260, 321966068, 9472952, 641215355, 545712360, 39457190, 115738225, 498459872, 562607671, 512809458, 48698146, 951465845, 365831359, 982160987, 187566830, 58410623, 574149634, 140231968, 838453375, 882789140, 846391837, 314156340, 379893743, 471382384, 210024446, 649553122, 330794535, 956122932, 636572538, 38569331, 358732948, 992451061, 707534191, 492974669, 625981163, 678419963, 736737933, 866586096, 526565619, 423774982, 117259611, 997575977, 736278719, 949451336, 746051048, 829994523, 18506121, 612394437, 471002382, 107848717, 954553124, 507536560, 453546252, 333518583, 32661411, 663225706, 749321607, 179334377, 179160560, 631013870, 559759066, 684212958, 642835206, 461709819, 592255908, 285752133, 202932748, 905828149, 631507431, 4158795, 335426559, 42635911, 553891742, 497514549, 785963639, 244675652, 818581092, 395258477, 307720089, 326037131, 42338700, 896183243, 616788491, 895821559, 764525210, 995869956, 993446121, 565168035, 963369738, 425959158, 970864975, 671127793, 947098313, 807714391, 974854388, 396940136, 702534544, 32748840, 124784343, 823120796, 864352422, 637512592, 551938814, 13128439, 578394109, 839010744, 983871087, 773664886, 1550709, 841928390, 910335699, 466124260, 150406453, 955717001, 921487234, 813846183, 743577532, 141941943, 603805065, 80486056, 215132518, 812016259, 672931678, 70813492, 841941315, 392719040, 538522713, 3881057, 549140222, 139986275, 523921705, 581574162, 788073208, 576413306, 229030938, 588761220, 197713161, 767910132, 837735216, 893861676, 549487501, 702763806, 358248891, 609143780, 975300789, 210178585, 87162199, 202208269, 675093787, 514131697, 402875834, 710026571, 490914429, 831339899, 340355125, 730008929, 640251617, 356031243, 699848215, 485472865, 573381499, 98110951, 379412077, 115638441, 769127166, 765922120, 910908633, 101061257, 323515174, 389711123, 49242413, 575768851, 276245998, 942486583, 788078478, 46340893, 81571564, 501503208, 915315025, 937775741, 938899149, 79054886, 717539293, 734547381, 217437422, 977579716, 451286770, 127464693, 867708006, 372973865, 634391465, 715352992, 658666838, 179521342, 640294833, 750906312, 310899783, 540427794, 102698722, 850790133, 167745272, 825672054, 595596789, 372236915, 926750521, 848924191, 126748025, 952458664, 137585089, 401306460, 443587943, 447358777, 436104745, 577422922, 722806353, 378684339, 351851556, 383303700, 582352223, 641930375, 61630033, 219365875, 638604540, 236212292, 384590886, 955551269, 288082880, 188808217, 352384269, 812225720, 616859620, 458364680, 396235850, 701129792, 549239513, 846226569, 231484844, 557679211, 273452421, 837246911, 379188180, 329013427, 96829316, 230718796, 25948862, 9134047, 152952310, 243048751, 623655566, 321353120, 999870014, 87047716, 164508200, 272988433, 588328863, 492718644, 548770352, 326762970, 237264758, 236519748, 67949725, 457387111, 275728104, 637372539, 197202325, 429185166, 562794583, 980008803, 155016222, 293815421, 809852146, 3845547, 367428216, 634870224, 927901867, 466228224, 242480189, 720641003, 855724400, 546821104, 659675497, 646454278, 887594794, 601444395, 817367868, 480323440, 758422877, 333764985, 205270944, 441251510, 299477142, 253054788, 169562772, 612732292, 621638462, 383866295, 955188137, 768485969, 638187000, 775324004, 104185875, 671417977, 742683216, 536484586, 69394759, 624450231, 244698819, 37680127, 818110967, 442698165, 225597303, 61194339, 945102988, 204054666, 526280179, 336726725, 640828786, 351099568, 689899781, 503761316, 251976856, 103166071, 140954666, 107688329, 984039089, 851338740, 589034534, 628156587, 833586081, 838543932, 197365677, 453883250, 930196208, 318480696, 266359321, 110794534, 430246273, 906015050, 396988163, 541799060, 153537979, 609824192, 664071885, 816178952, 9279150, 350320948, 374626915, 565893743, 434904912, 334673425, 110734824, 468266583, 960854404, 681228509, 437417365, 419772637, 597398472, 69517602, 878936972, 892583931, 239171785, 197052267, 720550197, 677983155, 54711141, 138571903, 725223167, 812085287, 168602114, 154767525, 670868973, 74945734, 215085729, 174253080, 376143870, 29592049, 382740636, 928173946, 913427823, 378824356, 434736962, 14910100, 609162599, 954949855, 547613079, 672436860, 136735194, 592012357, 319434436, 936487938, 74758540, 655716703, 431079800, 25074647, 310807184, 600616085, 223497135, 384908221, 401620180, 250918782, 63763380, 412362426, 958512209, 941903727, 838408387, 32570081, 842444367, 258805329, 20382997, 335369157, 840337056, 788572685, 863125298, 934790333, 999168694, 68844124, 857008303, 857824860, 48797412, 568670590, 99486127, 17413746, 485817491, 890033118, 545530197, 712968237, 932247843, 157688188, 248563181, 347811279, 609386350, 438732276, 282030187, 124587605, 630470127, 453902209, 392714533, 910149686, 6635204, 861565695, 323455929, 69711607, 831789236, 992936820, 428995323, 656350347, 753717044, 28007109, 303447694, 296940302, 116798105, 173527802, 665186050, 258437651, 790910137, 991933796, 817228884, 636462771, 269991927, 746779027, 424110266, 34425389, 699890465, 332913508, 389426304, 620118516, 62315091, 768381800, 288480875, 422618667, 612204754, 566237086, 300690020, 576370635, 877795535, 86791427, 292844023, 848526189, 75375825, 137114126, 351103153, 844826490, 594780965, 21085488, 270008381, 817177773, 34530276, 873225548, 477813160, 834679627, 709130464, 613718879, 233642887, 260442059, 727278502, 245577337, 96967654, 262239625, 564810052, 754128515, 131757319, 703234080, 265491480, 959940221, 403699864, 433811200, 580250451, 289188711, 382783134, 91057065, 127900959, 663625752, 148567402, 919647835, 879442284, 286597822, 85395546, 225405721, 647582027, 169841590, 770892834, 102088978, 846374229, 491817505, 190250902, 175660702, 488798846, 422931688, 583436289, 554029681, 97356660, 390187478, 98179225, 142863020, 13692329, 677507862, 6435541, 42689595, 850413912, 800296380, 677180272, 807323114, 847103310, 448042816, 874206164, 123065255, 894559862, 73061306, 537075223, 572998584, 321882901, 454033297, 2052489, 331365434, 975478485, 63758720, 31031667, 293613910, 248275063, 434085693, 628505793, 135165651, 969801883, 195571695, 939121701, 211445163, 423218450, 15264023, 915528896, 796150655, 708608752, 169837642, 507526394, 513608222, 857176044, 51228990, 867923624, 815991917, 714572536, 740384167, 675390141, 37571474, 257702414, 626603897, 624242324, 143621020, 955879228, 320775505, 628196240, 985728023, 826954929, 834165336, 275251261, 367361683, 827494741, 497728372, 240903387, 118933400, 811283606, 339811870, 506013119, 525822938, 101199817, 829842907, 471531998, 689654450, 135505086, 459203836, 507527360, 245262234, 619443734, 245384529, 930173217, 515392401, 262027844, 171162755, 75533323, 479766044, 212603065, 255166034, 746513188, 69212527, 242677643, 477679830, 342929616, 18062275, 35492604, 778388300, 830730628, 774449364, 713134588, 897820265, 8948985, 861566664, 253177568, 938215750, 703042633, 442667937, 274179389, 538713735, 272751086, 26585804, 398185084, 766297598, 178308568, 948688720, 333402137, 167068773, 98069347, 902762806, 475475181, 813660334, 274242164, 910662500, 56274373, 517592720, 27143157, 682378421, 804577780, 822951821, 325320065, 44214267, 511680524, 273514209, 860547191, 392672688, 815549243, 281346877, 796917207, 44515563, 667798424, 141517582, 217114233, 624653411, 393783039, 551427481, 868499465, 827747595, 919295557, 248485522, 402935120, 386423196, 732099781, 494723488, 542395053, 382346261, 957036004, 93921264, 803780782, 407073092, 570603648, 614041971, 882819664, 679173544, 705281557, 122974294, 361707443, 497198841, 746820702, 430207482, 188573407, 578015223, 577887473, 754969378, 316478045, 624082389, 745171124, 820997863, 827183381, 791986936, 266139088, 788424202, 261569952, 644506021, 78681443, 632641948, 663539107, 49097432, 677446282, 684956117, 710109073, 209971784, 365997678, 613038703, 196809611, 67635391, 611368268, 173188865, 549119267, 419243951, 453298955, 566088049, 457950573, 785784890, 23929829, 621868223, 313331624, 484333931, 488794875, 557523, 279318780, 461519983, 548458715, 215896769, 927642951, 858670753, 746100237, 679494766, 486081103, 243089475, 436007176, 259772918, 20788162, 124103304, 26139658, 666391366, 407158639, 990766968, 206237329, 855734867, 449589140, 723971508, 56478377, 38681841, 779859288, 151377452, 864668216, 395657597, 838996110, 2498570, 353446622, 395967181, 192785250, 798048498, 905033611, 802855058, 61229527, 603262794, 639393186, 957748880, 620483904, 524755218, 137745062, 445962324, 146490423, 170449865, 433949431, 352463001, 645888222, 265433513, 772837145, 153324928, 778075313, 645516531, 828969776, 985932887, 438613359, 405691445, 23591592, 758031943, 523492251, 16843642, 119331958, 940116572, 271014826, 781444956, 211221182, 392615259, 990898408, 855569320, 781972992, 179522095, 342927407, 993019132, 282170151, 756161708, 133221633, 721905697, 531956518, 239677572, 840470937, 579668806, 989870252, 302544437, 510079230, 883693527, 230771716, 353325845, 96899219, 577736068, 459871823, 39938136, 850180423, 334443444, 781890400, 810456120, 58485325, 403949393, 335084656, 553960667, 756067717, 801062389, 6325920, 921402263, 371242765, 609483512, 57425236, 878245101, 133081987, 588492371, 220043624, 185381741, 572540816, 353471780, 107612092, 15899773, 591210541, 993989607, 625592778, 728839444, 24317184, 417050473, 975003690, 591518999, 713349484, 734289208, 760701102, 420615743, 326264486, 308361262, 520175117, 473748443, 239851444, 267520828, 166370643, 278885937, 99260731, 286348557, 445135301, 367695840, 35572444, 464551993, 641359784, 844431371, 909587725, 162227517, 819712977, 221461406, 848111182, 252333717, 140384756, 725683241, 521126167, 798430780, 507065928, 819123015, 280467795, 893435654, 288136895, 254701349, 457136386, 535973874, 469162005, 647317607, 120318, 475638011, 365296730, 187864589, 709770139, 593739849, 917354549, 305425277, 348475187, 261870110, 534741536, 167050534, 359625826, 521400141, 896785440, 727620794, 613860888, 930168958, 227981000, 579631744, 408752319, 269864989, 107499628, 565917349, 332842906, 872942650, 57582624, 384034541, 639924105, 823513916, 531325887, 189762584, 202489661, 41485507, 46716642, 18329321, 733253589, 179470869, 253563091, 818413245, 136755010, 646398211, 157935129, 253602525, 407851607, 179661587, 415575779, 786134497, 475110334, 129024868, 896745876, 384589045, 574883891, 306719403, 510353001, 782034272, 957895795, 30032533, 697217275, 697608162, 892483064, 322865562, 578747016, 804871161, 824567306, 130040221, 575974207, 653877023, 198288975, 434614393, 542060626, 417603512, 481310274, 108730820, 817706236, 918654519, 199492053, 36604479, 611359128, 973541436, 261834821, 706407406, 463024274, 285151783, 52671386, 434601391, 599431278, 642370981, 905462225, 501030873, 126784142, 811328805, 539429804, 395919086, 320692905, 978187901, 638509211, 549760786, 992809942, 26707693, 553585272, 698653735, 748574616, 787147519, 250715538, 446145511, 269068647, 307173253, 70320932, 515420086, 191857660, 114631613, 995040535, 917042061, 239320496, 312692840, 609484904, 586704151, 120449880, 214965447, 597551280, 750463378, 68988211, 666320692, 346152493, 46188014, 575532596, 81321208, 358027539, 702080166, 701582943, 479173461, 690191292, 478734064, 273039787, 350609092, 695827354, 81109302, 485531760, 923323743, 457215663, 428144995, 45018790, 103511005, 950295661, 662944396, 951292320, 117519939, 968461625, 313200839, 201997895, 161407402, 853193476, 878797758, 910890969, 354088176, 391996341, 256083851, 158128203, 867337311, 185525607, 570342523, 844665199, 953385255, 396875361, 183691626, 641479325, 600560125, 70703086, 166972501, 252244542, 223207846, 665076047, 337108704, 765438557, 660501323, 388256581, 537135786, 899131036, 11923692, 160691433, 38510666, 169758912, 882729739, 587174735, 5158211, 122263956, 510587659, 6927142, 187006109, 483159940, 556075364, 958366792, 719694518, 526078695, 769021464, 504206250, 954314397, 522362015, 700066903, 783043311, 897643046, 150945705, 912629039, 786967947, 225824341, 51956382, 431147666, 733544996, 840279494, 879998140, 492543203, 661856170, 32847056, 10012184, 300529345, 119053925, 558999439, 317490747, 934972241, 152011153, 328936516, 188519945, 26983750, 61856822, 589141921, 964265855, 89898403, 751399524, 434114931, 865364970, 555971959, 10846639, 204545457, 337236425, 89585300, 561519869, 430910131, 123634999, 693044791, 182201602, 467539947, 960114853, 228220361, 776575897, 554123960, 651303691, 11304799, 522933523, 916704716, 282729799, 519017006, 993541611, 977437957, 411610585, 813663462, 171430900, 74135779, 349704302, 383854543, 733566761, 760438377, 557659310, 214614119, 35019381, 247368387, 220258959, 67282633, 848877242, 802314144, 926433055, 966350626, 794672922, 117771002, 523565720, 369088164, 957293937, 78581215, 416723054, 653534420, 883615395, 371055678, 576794107, 236647144, 533674282, 496481591, 1858288, 901548087, 207700358, 84996898, 913437482, 75370388, 790703438, 884720994, 287859359, 912828995, 272857508, 546480395, 386807234, 773028264, 312790349, 667401923, 270467970, 405405375, 911181749, 452036813, 73766945, 595728085, 231867476, 477073965, 861845142, 997340667, 562159463, 791555177, 933036962, 919630617, 991890122, 533641508, 111913788, 347137837, 770430685, 966596215, 789517761, 15622591, 878880933, 838429723, 87536533, 107089871, 958156581, 317457945, 470937298, 658549520, 120526017, 398911736, 495648158, 962634974, 683123276, 233174638, 593623029, 59533463, 555292373, 916074943, 715203445, 308551417, 132491457, 606822484, 242377876, 721923700, 279766898, 677013424, 67801523, 392174584, 760692157, 616306868, 830863895, 568984885, 885758057, 646072871, 389488213, 936012736, 825035475, 694273067, 609707201, 549498832, 769202902, 80124465, 619862295, 941125442, 466961056, 752992179, 617524395, 939376758, 416696347, 272063925, 916581207, 467999185, 330877532, 97902217, 456135207, 588016342, 318409197, 955702828, 169452209, 372815601, 953558177, 173229027, 160254603, 756815397, 126003671, 816465337, 211616926, 870729289, 541224173, 802616614, 54709015, 715060157, 954917809, 783693485, 240002319, 415571143, 961123860, 432360387, 308706712, 570147447, 971411368, 218601449, 245822791, 933117531, 538900362, 789771776, 778767732, 881981565, 2171709, 91058936, 349935, 804923425, 943907680, 73735608, 468730637, 321088188, 295225997, 47626116, 36940025, 527621538, 343337000, 710544430, 37101403, 536356459, 898041863, 473031820, 889408928, 152729163, 491844199, 845213191, 274236498, 874356988, 902372994, 936190360, 888703259, 373734435, 563851888, 718212328, 857856993, 564684149, 254268355, 163235630, 149113695, 770328982, 716736240, 766985340, 59903882, 780538290, 74479001, 225646898, 912993383, 218081275, 841303278, 728186031, 862678295, 582317845, 881655659, 177687753, 544693300, 797152398, 872117037, 830570083, 647237096, 580406384, 781605449, 773554334, 944175382, 799099842, 252136386, 885675640, 412256345, 874467817, 199323912, 884450225, 843859051, 594796009, 961664368, 515624147, 334235956, 12361102, 223189653, 846897278, 479520599, 868462039, 42034203, 831006067, 327404487, 534987655, 388396566, 104041967, 355441909, 59894135, 82707415, 967046403, 649875926, 419474534, 435077726, 541363248, 941242725, 893560512, 243281097, 778738059, 856009358, 319002965, 300200209, 193521391, 202981200, 130253348, 473288080, 754261944, 498561823, 84827017, 405566605, 848841686, 464233867, 984137267, 86639515, 453927738, 491775099, 71232775, 879986297, 717437812, 741982847, 8062941, 670427683, 600259310, 708058928, 774072585, 809949064, 55477819, 140225475, 212521753, 262100160, 733846325, 401219402, 483657504, 108712263, 10503386, 182953143, 731632464, 327131055, 499937269, 489486672, 775729580, 714559532, 819764837, 195210883, 676757033, 278092395, 869717525, 402793089, 435118905, 471251760, 703343820, 299747453, 807816277, 428123688, 419448862, 622822223, 160391833, 386639940, 498754764, 378918212, 697589037, 788662017, 109506059, 192531657, 974326274, 536312718, 483465799, 851114781, 896831391, 398436070, 857930105, 965616903, 614521135, 216697747, 571146680, 960896542, 702901998, 540602827, 400361722, 846965474, 888631206, 643751999, 675541445, 485751060, 187694699, 462202152, 865310951, 59781561, 244877341, 99274728, 467335368, 444790894, 5567144, 395532890, 555006646, 948895852, 159908597, 133669404, 75352645, 189885262, 560462158, 539850819, 43170558, 639071736, 646367358, 735268699, 351500746, 667241845, 170085078, 120377703, 592565979, 280065133, 737931129, 151968289, 578735175, 897264863, 387075981, 734597353, 752095936, 940743876, 242230953, 556826752, 342725598, 4721096, 531862486, 849129999, 896392726, 6342478, 418043147, 486035657, 628950689, 850180306, 948994322, 372092321, 625238421, 567363698, 539196290, 526296138, 12706298, 58515732, 337109340, 798470902, 57252624, 724778577, 394680796, 863457044, 366176197, 56221240, 688009425, 766140808, 328079678, 634580081, 593373068, 470828070, 481159050, 188456000, 282129875, 809618718, 859464505, 540454863, 463207390, 976563894, 201715787, 986165136, 385500172, 41380112, 763885449, 884268468, 111264046, 789814842, 667363603, 26322085, 744351232, 82473533, 625533815, 184145441, 756955870, 872372479, 370709281, 241455063, 549664644, 867143693, 960969109, 704506294, 554781426, 49778194, 660749300, 548171400, 875039668, 385779779, 863526881, 658267180, 670232887, 503867155, 825889451, 711768163, 246621855, 676599418, 738841524, 353931903, 34105393, 563003939, 848458237, 299079677, 362381651, 503946704, 347220264, 874876181, 430842083, 574587111, 785038614, 502458002, 718553527, 523664363, 116419814, 904631294, 437231847, 588589362, 830651577, 704416367, 799007579, 32067635, 94219231, 43872758, 732775954, 38817096, 159901299, 444817461, 203789332, 445315631, 431255791, 408220484, 328531714, 839346179, 626508774, 211971343, 497067986, 240376743, 799096399, 421208381, 871106738, 354581200, 932452661, 609008477, 612119059, 100188677, 714532105, 958342624, 132325422, 414544624, 711658614, 725417414, 930413852, 256083514, 74897575, 150446782, 557746025, 528359618, 903726824, 668027820, 160652674, 179226853, 711606165, 193773722, 802605335, 306521583, 792619204, 368353470, 227863351, 854154250, 571549569, 422895019, 742258062, 152094040, 119397132, 317332463, 117582013, 735871658, 494764336, 818751523, 234393230, 406150099, 246569089, 336742939, 43506076, 9848608, 571727029, 577549082, 911096008, 90465415, 686417072, 164839079, 287734714, 824779232, 217469687, 147010559, 116243704, 222287066, 97823835, 38981940, 336614317, 151510992, 384744713, 104335089, 449977337, 513161640, 702387889, 735265894, 704002361, 171917604, 940488507, 968348011, 382830436, 164914051, 47841526, 724144225, 945113984, 840478969, 787684385, 541087663, 2905855, 202057743, 609027729, 999730800, 851678147, 13833280, 477974309, 549363365, 532201526, 854327072, 42111298, 318201422, 766125018, 707557058, 469213603, 797107466, 830378085, 344619898, 20856266, 373012285, 983722550, 562064044, 945137175, 569025303, 145290462, 285168370, 669771565, 214065904, 580794192, 106154151, 508691512, 396537576, 251198906, 839639905, 964155345, 226630458, 593651134, 649821181, 888177631, 493774941, 979513262, 152381291, 782835333, 68216806, 230994378, 934878586, 974279909, 403163364, 127324601, 86418867, 363622604, 383688361, 645331973, 508705659, 533696655, 10005118, 144276874, 135846490, 555696728, 878428897, 980338673, 891800111, 729663674, 244541345, 172035791, 764141256, 415277096, 566102423, 921843805, 598473984, 502763684, 720363114, 565433776, 819966662, 97639557, 760982938, 845841440, 135175727, 88936035, 491090623, 813435009, 766261290, 85176016, 741676546, 718231202, 54211188, 613079118, 197663380, 743496898, 908651404, 949835881, 32909751, 85044823, 863779289, 223737846, 538724405, 800244582, 830670255, 858194762, 646462951, 257004273, 13025605, 378403635, 91688935, 446488929, 630545711, 533862143, 650537370, 306778488, 72406012, 227908630, 136997627, 818789142, 459251902, 607777845, 446396194, 114885597, 419576991, 112482372, 683674368, 528115127, 90541176, 334503802, 696006243, 574751749, 862224702, 657911917, 753165389, 401856875, 430631390, 209680790, 828915735, 19086366, 491859245, 481053743, 936468176, 360301136, 237221204, 95057610, 186504414, 132218554, 808207454, 654657347, 558429341, 858606565, 216541342, 733592862, 762973629, 369481370, 6324306, 193557867, 307481267, 72225424, 115824109, 388535739, 875803527, 877902768, 890236637, 961380950, 56558330, 306036357, 862509839, 446155857, 983730946, 995260499, 773020227, 604508352, 86976353, 14001677, 303729037, 262045149, 602562941, 276385243, 420893252, 708705522, 564929347, 764734359, 978457649, 468899806, 820456781, 347103238, 506657763, 103865918, 842439302, 655053308, 132762840, 716998792, 226754384, 939345853, 638063201, 69962432, 901469971, 28071391, 501138347, 985039491, 137866633, 14051098, 711230156, 750481955, 915644724, 683137553, 740611188, 939755159, 363040105, 215961952, 161658761, 250781284, 61823986, 822252214, 90423811, 197391399, 203172233, 831252831, 477714172, 509616381, 920839323, 682317378, 229437546, 30422330, 340084229, 988062507, 593694750, 113769047, 826290198, 714956037, 662675346, 17757340, 853203887, 195882311, 138838726, 927416232, 87118235, 4341200, 77895441, 63210943, 979217839, 163082085, 770992870, 177243362, 70630825, 28712913, 101158351, 358005439, 650220222, 653879835, 266542922, 586678281, 809682379, 999369391, 281451402, 450684615, 763810154, 832141040, 511771133, 360815586, 508028108, 309226550, 270168837, 361000253, 768713895, 512406781, 196670020, 323201860, 184942979, 601365855, 19137790, 786617588, 830160229, 5022381, 844627839, 790242521, 865197320, 111782754, 847272790, 219433596, 189783728, 677102088, 349070582, 407493964, 892515093, 734711289, 766600969, 248443644, 592680248, 890056943, 653289695, 457456230, 43479012, 395363032, 689201132, 463611020, 720827079, 867972935, 659549528, 310690033, 224484294, 680012075, 927650248, 359224158, 362134727, 81877790, 6815054, 787970813, 54132520, 899821061, 957075868, 457803905, 994306291, 725421818, 841698368, 355514317, 730016997, 733903115, 109996418, 615475395, 733849602, 397240321, 833493284, 999810962, 578383827, 162040480, 732334477, 719071483, 903323189, 632592474, 744270450, 807135932, 350525961, 484851919, 611494255, 625171574, 393109183, 793287197, 568146363, 811795101, 828431120, 24815619, 856507956, 411678543, 638642948, 442490537, 853887136, 348219153, 546343844, 866814601, 824839820, 80467910, 973461565, 534603948, 347702886, 206812807, 555201770, 45932776, 146318638, 164709843, 18342781, 988207192, 735848649, 651160749, 971575307, 890738882, 913672384, 263375302, 53215299, 731455109, 797466464, 297591314, 345760984, 855650552, 345687322, 470088391, 340629334, 288229450, 8818989, 392781387, 872535548, 556472018, 892028814, 506173235, 191595416, 32805203, 240147443, 689011930, 446750865, 946111848, 283180816, 847948631, 106757588, 808798019, 98725503, 611138979, 814125984, 829867194, 597771754, 883993878, 270661896, 955150245, 573880775, 760301744, 599284746, 68902830, 98426273, 748617881, 588927948, 414993610, 125616437, 425727979, 544164754, 828151451, 265575418, 77391184, 169371871, 266895414, 719968822, 951371929, 551814784, 962004700, 311408428, 632840044, 268544745, 348652669, 73204906, 285554433, 467442181, 156469858, 717254017, 867963227, 45600629, 898238964, 865193772, 14234056, 111851284, 754291285, 600691164, 155520737, 193171356, 161757616, 377698120, 537997050, 894240154, 463915501, 299499621, 777557073, 668404899, 952249218, 829645371, 668729582, 715850635, 582890446, 126921111, 947266792, 651332951, 595868889, 672037109, 170032474, 424332154, 544483167, 711681114, 65863724, 41043927, 547614159, 824348643, 640140984, 423635380, 57789229, 299215518, 761486321, 961403790, 49995334, 181509951, 807294030, 948723610, 898750716, 386916277, 387609465, 923212446, 108539549, 858376963, 137577542, 10041128, 240252493, 416176651, 977206448, 416062730, 897854239, 539570232, 815097618, 970902167, 472086092, 824133073, 378017894, 116013685, 521337952, 347423409, 186219553, 2672731, 237214125, 164817386, 494128754, 408385972, 682490263, 229375645, 320483179, 977738919, 64918207, 751643804, 390727039, 565173938, 752882940, 312693670, 334128664, 437691619, 959371904, 690549093, 384911268, 37769198, 313218312, 735327368, 865607311, 328963200, 485959265, 237256720, 298136882, 256432466, 738015760, 138776279, 351147733, 775904490, 594695739, 148720899, 480613071, 911896091, 780914864, 526778711, 655584350, 603344005, 152776216, 325711747, 577373432, 457554966, 619247138, 838235565, 297923010, 384806101, 905569534, 206638811, 686734582, 229246150, 349944972, 552137060, 33268040, 849867959, 339517704, 371319060, 296766874, 586112413, 613218613, 793845309, 269093294, 228213007, 519383511, 109049617, 111233096, 411401589, 90167238, 790774217, 440834400, 10282222, 649403696, 705138235, 496039627, 654506630, 187408740, 560375992, 165662669, 874737097, 418967682, 526677580, 299780037, 914504635, 806894081, 127048194, 178466863, 778264933, 634910240, 125805046, 59021581, 464540618, 602340821, 501915777, 645994006, 273883775, 571739822, 452246871, 621470422, 215880978, 605810253, 424364346, 778675059, 512120458, 564173814, 740852495, 734979, 913826247, 816928255, 854625991, 91567632, 766397120, 563899092, 72194112, 603130118, 768140955, 922572757, 525387278, 549297349, 744910600, 350488832, 293812736, 483517644, 68297164, 289996484, 568921045, 494946629, 899254236, 988121680, 16939479, 477146586, 529022029, 808877631, 255195475, 464953194, 211787757, 910950025, 509253967, 261049824, 819918065, 805108560, 96866729, 719270792, 823746217, 990908510, 872575411, 776739651, 236412794, 379157703, 178681375, 863350710, 637229057, 364421795, 958501759, 474906222, 93416458, 757576931, 692353928, 65720221, 533525431, 968372271, 372232274, 28894149, 283130376, 914897182, 675856315, 493707306, 4851512, 127572903, 684688957, 834885973, 202858390, 27133126, 83534539, 633074308, 639858018, 814976301, 445030019, 222077622, 506674014, 638783245, 758658646, 695196529, 455830785, 502031298, 426221388, 176022553, 182281360, 685646697, 769649791, 415312776, 357232799, 820151709, 14871740, 97419160, 291207176, 383930063, 872748970, 329513752, 899180528, 814859293, 244466821, 37200173, 189687928, 182374609, 108434949, 613642580, 666191221, 686411773, 909663382, 523209093, 540974132, 616816474, 374416684, 570433819, 568658225, 464015205, 2493915, 539498767, 277855521, 106640490, 170235390, 833168690, 252941064, 499627644, 311875344, 603402434, 303232621, 703348106, 164432629, 213060330, 425121548, 267397950, 570490869, 484955758, 233299368, 693894349, 396517130, 758205155, 911183562, 273907710, 303720724, 708404775, 630216646, 746989138, 790324962, 328114443, 119651626, 504020558, 420720593, 341610613, 450980626, 471028072, 276917983, 208490011, 272644317, 229238480, 45937922, 903947527, 360953056, 683568795, 731361533, 297055273, 132425725, 745394836, 841536742, 641845478, 639597758, 657794935, 100487195, 60132671, 380491646, 226735480, 933908500, 278553355, 493134792, 716163966, 684683843, 96951533, 589926379, 834682082, 868107249, 333758803, 972469559, 357753297, 147988249, 156012254, 247022930, 645158713, 655283276, 214183096, 738872732, 534135258, 380181043, 515671964, 807288564, 783893707, 106749038, 509836999, 763905058, 351648150, 478758310, 653955933, 694143297, 951310405, 626411157, 60977503, 358203194, 854111819, 697862020, 808826516, 173347159, 172691581, 728126663, 678929657, 694403152, 415842944, 514571277, 209801547, 199995791, 362941867, 857503663, 70750322, 986716586, 533282920, 375177208, 230730821, 49304473, 769785497, 322594474, 965222751, 427359002, 961825669, 56917650, 514094444, 894840021, 235936298, 5066562, 537737400, 166246998, 525019801, 539638845, 453723276, 526168086, 901758004, 742134835, 459508062, 430472946, 472881606, 150235067, 424216246, 323644603, 705448611, 48095770, 929382194, 130971811, 399041126, 191376243, 745683471, 781411493, 174018490, 932002126, 444121426, 217676149, 230443947, 586896524, 216123837, 392536487, 134697473, 757002259, 126711098, 115053, 868139443, 359270286, 891072164, 643172370, 256389054, 696250989, 874976664, 243912631, 792719294, 99709519, 470584091, 951434779, 996288908, 484579657, 502024214, 655574893, 939266848, 894899820, 310971626, 181761008, 769697388, 466222996, 953276170, 867908727, 949809579, 46938621, 972020530, 144546474, 654147725, 425954274, 377709221, 892875942, 647689730, 916098244, 734356354, 654274781, 233615290, 316232134, 277689697, 483978150, 846424118, 604304357, 52009596, 657443526, 698891562, 413823841, 959911907, 425218606, 465379798, 988519973, 683291111, 781401759, 743010302, 58305401, 591032606, 186318887, 631235494, 708800244, 527875684, 481448372, 940581742, 905375778, 227015602, 441243962, 421028568, 87934933, 695746265, 124852762, 692351980, 408924842, 679093951, 606352107, 765422020, 579044413, 844690216, 913165806, 653940501, 55402321, 666337666, 401746611, 799418238, 40032139, 55138563, 557569706, 980602054, 89706977, 169375333, 276048958, 13114391, 108640527, 266087164, 847545633, 117451734, 11391210, 756116576, 399313777, 595189956, 832237743, 76220779, 69716339, 61911736, 740965143, 957590302, 896645567, 90953293, 599581075, 699778007, 6451958, 525024557, 943472695, 448431511, 947499788, 238960600, 48063582, 781102445, 598501845, 832142741, 424912835, 681603314, 111991617, 237575742, 487835635, 310487870, 235438739, 374600591, 345901369, 296547555, 170364144, 554608765, 977899923, 470270120, 544438004, 488832457, 662799491, 416700528, 642491100, 539052181, 242908843, 464007083, 928515538, 641724617, 795379603, 668076617, 777836533, 421386259, 825050543, 374130836, 640140445, 800390681, 991921698, 31997363, 926751678, 724784616, 522113326, 730057048, 358744444, 522077981, 429130500, 506514562, 940983637, 567258078, 832874740, 405565625, 853763392, 43686520, 698285129, 86089714, 630724579, 904627071, 85464978, 210943608, 41397655, 215638016, 111338655, 839696857, 26251128, 490434156, 701564918, 424964618, 57141625, 275895833, 384382577, 60395938, 371782056, 978297660, 249358903, 120235952, 154369612, 724934210, 670376369, 164022320, 285097697, 294943095, 347593798, 239068793, 221374769, 911888925, 20810260, 332106836, 640930275, 95822139, 1571993, 857472911, 505560884, 134575040, 192300340, 216800821, 916722277, 22697206, 63092652, 126932824, 272898142, 978278714, 863336602, 307257414, 644789132, 114949687, 803123112, 936806656, 622383655, 98645538, 799440340, 798235890, 878331360, 744176258, 613194875, 955177586, 571424086, 123261161, 388334883, 22161920, 830208349, 222479395, 657022868, 629997484, 650837708, 436611625, 502956115, 858342921, 767141198, 562043633, 154452049, 732399631, 886837771, 915392338, 97463820, 833755489, 815743615, 876690189, 754387721, 596934133, 237758340, 607116416, 578004649, 295812424, 387351519, 248063391, 828957947, 1550994, 776291279, 626926862, 383173201, 124062736, 381941393, 88375767, 628349375, 228404250, 810446242, 339874162, 288674757, 30274780, 573959479, 311136749, 649514199, 510522767, 116464740, 700517948, 173495814, 60711956, 73649675, 466086525, 713505871, 50245889, 761309518, 896494345, 205290016, 398301842, 541729999, 639678325, 539101654, 841894603, 789326330, 620573150, 95480033, 425444394, 464780613, 14567395, 567446450, 358955387, 754997130, 344779860, 994686926, 479105276, 781249480, 552550701, 541023558, 559550067, 186215723, 845108855, 585371176, 346453600, 622647901, 291909496, 304646781, 546342238, 403462827, 567770394, 892012882, 671807324, 610996877, 628356398, 500972723, 251721401, 757622414, 578744132, 41566093, 9568131, 18352636, 88567796, 849312380, 474459981, 855209670, 376845396, 617717670, 461377953, 898393064, 677685131, 853714850, 889087342, 691111191, 652897809, 9629863, 846284216, 250013301, 681831615, 146216915, 74441364, 44783228, 149685860, 982578065, 155567299, 190022990, 850704534, 836388533, 597196207, 756593216, 841175392, 687798653, 739389988, 734568027, 119179462, 625144506, 848311679, 407165036, 612966752, 222443754, 717903465, 858963226, 779095569, 29576749, 23450977, 396596171, 330689083, 296585309, 894198556, 268808083, 79031758, 463746971, 785735619, 453078891, 572862374, 948022947, 326894415, 504270119, 310073495, 27267677, 508616153, 187970481, 105307744, 369310499, 834261881, 569395278, 416503699, 322101103, 145496130, 33195306, 301653691, 57948658, 523720429, 874749261, 249140430, 117623766, 807109538, 427178967, 162606081, 378210922, 169888597, 939799642, 117199998, 452904852, 122981576, 73820623, 197142045, 278056391, 236750944, 190856587, 124521692, 383483540, 870736136, 265390031, 902240416, 437596301, 32132324, 852149148, 372407666, 928227112, 715295008, 55130584, 276247578, 606487756, 108154824, 994727654, 108895351, 766250899, 412822602, 76179954, 847030443, 341593517, 972216081, 625283404, 124182160, 125781969, 770409923, 883526511, 573419987, 786431992, 476181233, 242298802, 993917602, 63128982, 201099333, 972419967, 498453655, 434307071, 594093257, 325199559, 764372691, 970931812, 218432404, 455107601, 469627287, 343738169, 721363964, 274813908, 342867048, 659546741, 229858823, 630855536, 227482130, 191487859, 899395453, 46299454, 669641858, 923792841, 655108394, 664367402, 602526320, 753894114, 475465625, 298622488, 710297840, 812077387, 536543915, 503427692, 265335817, 544833914, 344781073, 335608224, 253432638, 514317276, 558200155, 290148653, 143565795, 332531400, 92969872, 299839582, 699073611, 184200003, 916822299, 383203031, 311209714, 258914924, 839187152, 711744075, 651214908, 713550902, 441877562, 420316239, 907821188, 271030378, 804524425, 128415226, 858498825, 152613717, 11512781, 939130778, 692488873, 316668234, 274751254, 521722106, 317949444, 320029798, 507956819, 977129996, 298083709, 108994110, 684317112, 380056639, 144209675, 15342600, 447044468, 765423875, 48236296, 174826807, 658821509, 764772643, 889994168, 309392498, 223069150, 287830877, 430174418, 44103118, 27519562, 984923190, 684730172, 854503209, 419778214, 624666155, 270862172, 712587673, 120689347, 452053366, 333894647, 102761822, 121739403, 70021915, 902051317, 462099698, 998048893, 125394992, 68415845, 77675755, 103172688, 335872898, 635883541, 733654249, 160769416, 344575352, 131401880, 506025979, 748148989, 339407135, 17650055, 158931775, 98483801, 230211253, 362670497, 907102110, 30027368, 422739660, 865655468, 438526248, 857875444, 917146138, 405463502, 934653188, 948280556, 906147263, 467743883, 821038711, 126953928, 711335709, 795905877, 11738083, 560510584, 77624907, 280870332, 97316667, 568125745, 291531802, 842517797, 670786251, 148039660, 662838808, 644807830, 307005460, 905002073, 102117, 979690884, 121507443, 535874430, 915927883, 783875096, 772908659, 150258119, 554097668, 771162127, 795120707, 907263678, 377352943, 512206045, 802229876, 613970044, 922132088, 959884541, 195919579, 234957261, 756346462, 86922170, 630496699, 980744464, 887628692, 135489759, 262207956, 108756335, 402008450, 491626817, 200622718, 47062561, 384948491, 583912654, 497365817, 699099633, 32596187, 26432515, 216004672, 551022481, 565280290, 579221053, 673751391, 482116187, 35082062, 704514749, 87260487, 197460734, 722916692, 61113360, 340664545, 809561966, 741967525, 314239966, 780821427, 148376317, 577942357, 223400499, 14676614, 399985208, 186444345, 833550255, 923992473, 210554629, 296822347, 223343935, 473803445, 264649424, 211651339, 330608627, 806313703, 890351729, 833091865, 792908217, 502817965, 289862184, 871358122, 185285186, 356021130, 536996290, 274244797, 387175493, 22257786, 421680652, 516474669, 945147399, 648356888, 833214657, 589949452, 100575166, 933309403, 481348456, 101423446, 80467341, 705000864, 445830455, 496810453, 442005704, 222394244, 409126554, 536927672, 444532098, 698708316, 322794606, 42789316, 933549386, 544181836, 835864049, 946031837, 707996345, 587933135, 13404017, 817236937, 454279812, 873845621, 631728400, 450812793, 243815532, 620311627, 788863482, 824227245, 501932579, 980905275, 537728820, 334102732, 295727372, 377406913, 54121080, 177432473, 779935932, 836740143, 337962597, 497632721, 929191435, 382555045, 459554767, 211282907, 811017252, 905404774, 28751095, 612862368, 702008322, 964396433, 583590436, 412777007, 793180054, 230081580, 943387628, 480598207, 623083957, 450770058, 684873961, 992130610, 441834380, 592039282, 467947766, 157846133, 462752014, 221814503, 837618991, 123993926, 82846209, 386751184, 985446222, 69681307, 142821884, 705821086, 734535115, 302716064, 918581344, 597589854, 979744541, 780801590, 151258415, 243034333, 239523754, 313413537, 535062165, 987610145, 279388201, 413402183, 105118646, 994678408, 595518022, 893264470, 7417830, 29797095, 845804301, 496751681, 572463388, 589587821, 673241557, 21681909, 527075932, 735298391, 291486978, 153414423, 955731850, 394656414, 504455013, 602586638, 637419903, 552072418, 744786479, 182079054, 516090542, 55491040, 860505264, 265298337, 910170102, 148606277, 550711, 607449069, 627439041, 711229389, 400867143, 424323405, 114257153, 72529876, 511538404, 211256457, 657732567, 485383523, 547772476, 547358131, 163132628, 205849393, 65393657, 328404506, 304144094, 823318138, 212474880, 75012680, 128569206, 60448465, 628809620, 742831879, 54377260, 229268320, 508761910, 997417432, 532507571, 546257816, 775654435, 142993702, 249584721, 949102043, 575853896, 699315409, 142763379, 798850650, 689353203, 882075789, 503968858, 92439900, 955548076, 231713117, 465665225, 466065889, 393895450, 640623601, 98743282, 269656946, 536613385, 504555471, 339593568, 386667000, 18716008, 183050910, 754388904, 403854704, 220374593, 835351990, 917362804, 93211943, 592881293, 850174752, 507600220, 118861554, 611403710, 548850607, 118153251, 687864045, 686090623, 609436203, 159582640, 43355598, 411966569, 252462984, 427929900, 661444374, 906160928, 187694341, 631642231, 248270882, 872526568, 31187265, 606118115, 665042027, 445286874, 851674831, 584286173, 863563866, 855450125, 869440466, 739538267, 928009841, 46440357, 502663000, 430070375, 192526732, 31874965, 903062980, 382954155, 99090212, 996881890, 990785198, 903604446, 698467356, 689333110, 700654846, 55985401, 938640394, 232949478, 536865646, 298638779, 365760104, 493984238, 187048744, 772564891, 221382283, 26186949, 497620193, 956684631, 847688900, 794356533, 433613864, 927520671, 529879643, 616219167, 226237514, 275097770, 444190359, 699467156, 114473728, 597862221, 365473972, 852565186, 217690366, 951917084, 334048142, 379477186, 27997477, 471780069, 298482411, 861703550, 880374312, 713684835, 260106274, 427812218, 544283034, 863526030, 143727961, 425242482, 421171099, 579058349, 491153067, 753284777, 843699358, 916524733, 221081765, 367418885, 534403386, 262407867, 543578996, 80818438, 70951183, 678909670, 468795248, 557483631, 468769780, 150177164, 677608207, 554731952, 271257442, 563831344, 112369539, 127008074, 587603809, 200603435, 701198375, 26557324, 474202748, 984144946, 255756859, 749146472, 377941006, 605371998, 593708874, 917524006, 371614878, 743622904, 511807870, 835668962, 358792619, 185324611, 581942111, 618806695, 456858673, 411154485, 701154380, 575569289, 443661543, 460171001, 87549866, 981433104, 800410752, 185573811, 813217933, 232721518, 422708343, 538107507, 217611337, 610048458, 987093930, 232072260, 82754929, 712384275, 2786805, 783219078, 698644674, 573266768, 85958837, 308946455, 548828271, 287490875, 498974622, 962049388, 12874718, 861300395, 788513573, 914025665, 84575144, 563249867, 507032375, 600255876, 376751574, 105694271, 724386688, 759500505, 278236706, 99261945, 695291043, 70200538, 436152179, 430745886, 778174756, 737530107, 246662136, 429761447, 791600337, 777754281, 468862342, 759190538, 128049729, 734583859, 971610497, 583250102, 48232392, 552219440, 839160534, 862049099, 65657432, 479461291, 767376095, 760807519, 127344486, 198325667, 630831439, 796300787, 381056694, 102915665, 362444112, 52718319, 60112500, 628290008, 387598945, 326938880, 371633937, 442672959, 14924415, 830002670, 5402449, 479001138, 126893908, 152933587, 653119137, 396189589, 32587858, 147497141, 622125894, 971081348, 160558586, 398991125, 238809427, 451575568, 975578324, 466056822, 212132492, 803331093, 172203591, 744840716, 291778247, 386046365, 236414231, 838046457, 756067586, 348862889, 108431964, 637330101, 915570232, 204930104, 483588234, 660881673, 833161033, 923167737, 823748946, 881610956, 298385138, 569150964, 284413680, 750628659, 977144252, 441828026, 734662739, 657527458, 95148126, 470385839, 965726511, 213638782, 348560487, 80161183, 281421848, 797136782, 801589810, 364802334, 867239737, 167549135, 348455648, 612588607, 602222808, 269754597, 82021429, 860912224, 540358324, 533848707, 1663625, 943789921, 994103700, 761923860, 414763804, 609404966, 445716060, 50521175, 437672112, 93080132, 756852947, 153650599, 187332027, 181371707, 822722155, 71926247, 68227547, 716404947, 561875674, 373443029, 363785794, 178282051, 597078228, 302442205, 792967657, 902922246, 815355688, 101052735, 64451464, 206271470, 467239626, 27572433, 730045697, 789132546, 158542177, 452195896, 489527629, 185785094, 560819405, 451849829, 40198825, 803879645, 93282749, 804321461, 93831396, 274517867, 705471621, 102972677, 387281324, 842262796, 178665010, 336853449, 969928579, 460034963, 263791127, 454786864, 612544492, 365176543, 469927936, 594215866, 995536217, 885063704, 211530428, 473415159, 37147314, 258307045, 661641928, 288126494, 783407021, 996852781, 911217928, 489652823, 51017878, 908904759, 51986151, 803672625, 857437564, 496137798, 30149546, 903658032, 172784717, 295499493, 915433889, 150243570, 717051074, 990201906, 9132803, 394801138, 685561079, 692166514, 952374907, 498049150, 107253974, 894845502, 397224391, 492403405, 812638217, 30786333, 802178024, 451338840, 415147449, 983324397, 385624237, 243498995, 127672590, 502375938, 664518170, 48467405, 389113596, 4474627, 157932724, 177464993, 866636716, 950245277, 263041178, 656402356, 605641331, 495544485, 116388505, 307287636, 708550557, 906548173, 411887450, 913647044, 798471602, 286061659, 976456296, 108784299, 18696377, 762880782, 462418643, 204245298, 971613961, 142291277, 906960429, 548372594, 690489728, 853749016, 242543477, 32289461, 874164142, 70452467, 604089835, 1341973, 964185035, 917166572, 550196171, 761594272, 620566452, 61035675, 260018754, 931420600, 499625628, 259790475, 9693130, 982468431, 317378819, 325141551, 777671027, 18064195, 200113735, 703945737, 448211270, 229330282, 636535269, 2492629, 95087756, 84143037, 54211884, 843512513, 755078917, 239593831, 843906871, 145422074, 26616642, 117556511, 335550359, 53340257, 188897110, 226789277, 772597829, 952914736, 553000377, 308693149, 819232713, 504158979, 672694087, 129020052, 913618956, 31087628, 12091558, 916697904, 449193493, 114122927, 209367711, 647579183, 182477319, 789253944, 927297270, 165279368, 420889228, 888790417, 21784247, 115343255, 973993941, 727060753, 850063060, 269751479, 95425835, 964065018, 523282656, 405589149, 772765391, 340302667, 890136265, 283292665, 546698202, 989559670, 737137916, 923147199, 183957401, 192978258, 189434419, 759529449, 174218234, 164810975, 606912945, 459223749, 456388180, 412049780, 789934571, 327206118, 666789787, 350906399, 631172824, 641243294, 123746251, 70932494, 841873730, 195630248, 861839883, 984103063, 685107299, 822614627, 866095524, 631094696, 961022913, 590480772, 294304843, 646241887, 116934945, 609049700, 20725361, 227602979, 805091251, 268654597, 785876780, 472409626, 536808849, 754691167, 194356215, 107171381, 2880023, 456832705, 280261077, 831019323, 997828482, 759094429, 654088655, 470097007, 841700280, 19543394, 933463141, 35492276, 772106970, 745924732, 477628475, 204059872, 709574458, 109180162, 455436527, 113527887, 589753855, 64090089, 867812833, 921233803, 863945408, 455217386, 349456195, 471700479, 210792697, 977432664, 337214254, 79218757, 446340576, 716306479, 170145914, 406086831, 829303634, 867615331, 506838418, 416230002, 611868420, 772295133, 922751639, 981419135, 44842464, 43987051, 96654235, 942411568, 329108060, 6316197, 995583793, 736108837, 452555357, 327056104, 651881158, 562595976, 86648982, 366811158, 209031286, 407124425, 122013472, 824528362, 984821247, 683693460, 73008278, 384563378, 171043810, 736283913, 292396415, 339032515, 199981852, 752300446, 4732387, 230335129, 657187462, 574812300, 310686240, 67631309, 300882348, 157014510, 548920462, 238945636, 198833601, 970375609, 64484990, 836846530, 287040875, 89122495, 639708554, 364189694, 398363045, 299520774, 648883862, 761466178, 99196379, 151178488, 767483132, 881560900, 785403252, 630620891, 354131885, 992104494, 714228281, 349166385, 868010963, 367587778, 126621826, 179132663, 468084160, 111258767, 127956917, 352284708, 296197177, 431848960, 959074166, 878132058, 103194743, 475244318, 469846826, 166468299, 816791008, 19103245, 423703346, 845831112, 876171765, 402203026, 70797383, 376209559, 554300052, 476570954, 208779860, 410781991, 959649652, 498149855, 743274323, 608556278, 67642028, 288029635, 593389850, 645467604, 139145958, 441673867, 691269098, 662155350, 207027061, 93805382, 519000743, 212417602, 528324909, 479352134, 323074134, 433029390, 81464130, 698502328, 653460537, 657964318, 788613723, 211316966, 697568450, 384932735, 513262351, 933635291, 698793933, 74109858, 351107727, 458465006, 64009026, 619700931, 638372753, 812659218, 417724236, 311272381, 356175554, 855770544, 842714713, 293945836, 404135702, 875881088, 561918389, 543056012, 552974044, 447766610, 237437930, 328714154, 325467462, 33867673, 615839298, 471891443, 989410506, 787738187, 49307100, 475915086, 703457969, 153074060, 32272054, 321941683, 997657072, 670370406, 572670962, 349024146, 414784721, 941606646, 883027884, 814560973, 326659499, 691864088, 556008031, 336978785, 962602386, 839382890, 494233291, 909769539, 351258565, 240698854, 511256941, 353898293, 163089633, 269788296, 577693874, 712027283, 706362795, 440854514, 783894872, 690477947, 18436334, 146052250, 646257436, 348097726, 983349089, 483747684, 563044737, 450755163, 855282076, 686080119, 538999184, 566069905, 730215846, 19776543, 732743795, 113950847, 709310298, 767459128, 623674767, 192803424, 311828444, 633332532, 465535625, 139734057, 783507155, 991084923, 404626513, 493811622, 50729136, 147959457, 300005264, 627509132, 991984257, 43285289, 123408021, 339002812, 6442330, 40168824, 995610208, 823156152, 137327698, 674334257, 568965138, 468993588, 679442740, 538305224, 492549043, 787182647, 319239553, 350901919, 787968536, 357226434, 331749326, 70564748, 771681235, 410663800, 896943772, 646544713, 874137591, 216188898, 343984111, 773084220, 726745540, 398067119, 199468967, 585868074, 25961489, 500695429, 989461266, 121573285, 790179037, 213010435, 521766615, 86547792, 894909729, 489385449, 170643496, 35847729, 19320805, 492855592, 743207707, 592702471, 319734901, 128221613, 525339826, 269199749, 686641834, 170585131, 53263260, 909790347, 322079170, 887766056, 566474497, 899610144, 594299463, 65488099, 253760287, 255957005, 408370103, 643606868, 184063258, 349314977, 717521204, 775544013, 691344900, 225752669, 182398353, 128411811, 164375273, 487393422, 93785379, 489806204, 89570248, 846472334, 831539871, 645020385, 53130637, 241009500, 661512133, 927025869, 14791444, 657782639, 499786962, 961947570, 905695879, 889253410, 407370681, 623844946, 890810903, 253539852, 748963926, 119034505, 864159548, 750805705, 689724202, 450116139, 818704301, 479718014, 112504023, 286253109, 123733959, 378218282, 393610880, 176410741, 70302748, 463436044, 944913479, 185758270, 373724659, 918662294, 400349959, 641567297, 959395052, 169489353, 139799116, 789276735, 521574740, 787901250, 544148090, 366881168, 924007307, 724620443, 144061441, 589906820, 467678243, 636782546, 549990135, 599887231, 300700479, 829091243, 733818773, 201401033, 7244160, 11553420, 662927308, 500263678, 905054490, 783200036, 911904073, 200784470, 950224498, 694891057, 623521635, 105475825, 967106642, 994515796, 985241658, 925519025, 798517936, 825056698, 259899342, 322489882, 511787252, 383107365, 941260153, 382972505, 962814236, 608756627, 926571706, 286495217, 876790071, 199533558, 144835798, 462661283, 156096027, 241955116, 441411820, 354235452, 753245641, 757497145, 724591365, 362072743, 446059002, 840839407, 121158062, 704842565, 895178492, 339384571, 131622645, 887036686, 663783842, 874125293, 965362061, 387827664, 812435164, 131760913, 642646565, 493401004, 612136242, 771900662, 182569964, 670445404, 149858458, 532524168, 881434921, 631164701, 728408894, 129383526, 413081944, 59372567, 102679410, 926904487, 672143526, 817721021, 361016125, 792639577, 337389253, 600717499, 189200865, 595521319, 616380678, 165360987, 198787050, 504677557, 541145199, 604760555, 516406898, 220853071, 667870934, 661335854, 118942040, 338991649, 136148740, 795010415, 151262017, 93304104, 134821879, 253653887, 256861757, 675331235, 597314108, 275989695, 329674755, 9554267, 54025976, 940680952, 34770037, 320072902, 993938943, 89527372, 234497428, 598747178, 98639246, 658373476, 353399588, 964723799, 44392584, 726330607, 804391587, 77644147, 91810584, 716265710, 208985950, 956459216, 125352141, 39565889, 570790418, 999508368, 214983911, 506148375, 1830495, 510862771, 613604370, 893443212, 379497383, 93803389, 899913808, 381283022, 709513887, 194619626, 329991324, 78526345, 950439664, 905949153, 313288224, 164241010, 463315704, 91247292, 715772595, 701723929, 546570225, 470361048, 963014288, 85419086, 354057375, 438976318, 454365080, 86857882, 730205728, 865422924, 294812948, 844451220, 154000613, 729459795, 297949160, 917459813, 131316783, 528022606, 759982883, 711532674, 400454218, 277840994, 828948352, 863507030, 233377297, 997831067, 895136436, 803073800, 535758296, 819127355, 425722882, 37825977, 456946713, 313487464, 942231049, 667335359, 823958951, 630662182, 268322708, 757236929, 334097918, 790977093, 374484815, 712338406, 443126062, 47550849, 34885942, 420771583, 389652981, 928033691, 568641930, 218793859, 769859899, 582018664, 656773374, 861095043, 494943623, 747769398, 788793474, 797221580, 740187084, 800424962, 43411955, 831068666, 987480050, 851862503, 324652663, 505481015, 501412158, 526878656, 585903468, 636585410, 869150159, 122285485, 391014296, 323462361, 648186533, 437562337, 830706630, 633730711, 487384309, 282637221, 414144823, 719628351, 423708291, 707665418, 944231503, 776275213, 5727132, 903728392, 413125398, 690182629, 803602248, 333282596, 11367105, 244462650, 764914559, 609785263, 497636887, 201501716, 165570983, 206973115, 983356136, 525217798, 340640558, 27839764, 551539338, 42859006, 128624748, 902688434, 250173152, 119745670, 562177080, 66379953, 252345987, 156984854, 765318750, 608433502, 459621515, 227103320, 876284005, 761254141, 427165774, 92636386, 913419165, 769445800, 4737033, 220368607, 165159109, 948149168, 194673369, 791747464, 595191901, 494803458, 575968485, 897326320, 485961647, 303177652, 435169151, 961105254, 473893641, 786488664, 327961475, 199911801, 70313714, 134366967, 383977927, 451794604, 317289429, 68871036, 585726630, 100701868, 441223547, 194415462, 518852541, 7732306, 292557169, 667841823, 17061579, 439986594, 716555218, 256931101, 324700067, 377523696, 865999332, 666319565, 85077601, 566605840, 436284767, 731359232, 319619808, 721694381, 315100832, 680606983, 148253136, 344015631, 255935660, 135090679, 751255722, 208813107, 447032024, 943753744, 317456000, 39261297, 121812475, 519119517, 920515611, 619900050, 881870880, 496976303, 649665773, 393296258, 347997265, 301661894, 150030699, 519011061, 885786132, 447053672, 965734572, 32590280, 632044402, 40853537, 597414551, 496382433, 861641306, 362585790, 770878143, 330910457, 608891230, 271793534, 260065285, 749820792, 947792540, 214599342, 466207845, 495644254, 48653050, 325558804, 884726568, 42048855, 14920080, 796880940, 380680947, 658726321, 563698445, 387112943, 855377395, 619788393, 71946350, 258031921, 452196951, 928121771, 622026369, 347389218, 725211679, 756516438, 482376879, 902727364, 282704559, 55306934, 517619852, 836073444, 317959502, 905928742, 291885742, 226974811, 780889766, 217520909, 135615153, 997345511, 705178997, 4240295, 62781769, 783213975, 57209856, 360543485, 292519030, 334195795, 976518151, 506598610, 849151253, 60240374, 348258984, 515371581, 800784023, 24037111, 602096834, 709240161, 307709798, 650217832, 13430132, 761548158, 717975634, 999443620, 637853664, 625095127, 454376941, 637440609, 287586763, 334647973, 980645610, 422494714, 626290215, 346481503, 643293753, 730766914, 608893154, 929852117, 660566422, 48426236, 306885361, 255310417, 920057578, 385613169, 155955548, 139247653, 980976702, 367478384, 399574776, 278967053, 466060271, 261359021, 871488412, 553405687, 871266891, 615631311, 87822237, 822101501, 792200950, 118906384, 594841654, 939431791, 65195004, 848063644, 405439026, 986006204, 637145860, 920845304, 483484701, 159691455, 894601000, 539803375, 204400391, 357818744, 61458778, 453772285, 509821462, 163741611, 204105020, 904871383, 227797265, 49068354, 239623486, 543453994, 902827596, 214368868, 534559344, 717186469, 473772708, 342743418, 105787933, 573262939, 100956792, 90594381, 639253991, 399560554, 763740700, 951852462, 606132629, 140244965, 401034041, 819290077, 747828409, 99414241, 334657969, 650313812, 901796010, 805822583, 8291026, 930173250, 86660904, 598274135, 741217387, 360511327, 163975600, 530233829, 784456925, 225893227, 871515415, 781947096, 185932030, 749559795, 639393243, 717969245, 26987564, 999368190, 140600628, 473643487, 377185764, 779976882, 686544156, 55056651, 954295305, 760289446, 30137113, 869413687, 683140231, 920314600, 639744752, 548602345, 345139341, 558838483, 382843061, 220279155, 840132385, 656809855, 998155886, 809036415, 372746251, 672315731, 238832869, 769981208, 868980441, 3964372, 876183182, 69313736, 864460811, 845777556, 95636063, 305026418, 77488030, 198976519, 591871301, 328410898, 539910226, 498800524, 977501391, 305560979, 413454649, 806793662, 308893296, 812231008, 561346538, 888596620, 674849160, 831318399, 309749266, 146842613, 85584801, 832594969, 628849979, 280354748, 412851900, 257151579, 934117154, 556655878, 458473368, 753739473, 201792188, 868048164, 43536808, 423197373, 772193444, 898126744, 726933234, 260156046, 315198333, 382717065, 633196870, 552681771, 985251576, 698468686, 393598031, 416481180, 654908337, 453975102, 264915130, 355337780, 473696724, 769999711, 246001679, 107580871, 242079551, 1272129, 834023017, 442737321, 320710013, 222639325, 178595053, 99127957, 391285722, 776940988, 940699372, 884069994, 966590688, 950421472, 155221452, 773669840, 118931447, 242691820, 248786395, 672770470, 787954565, 51077013, 802129078, 886859711, 176052542, 675793993, 119469312, 400711049, 288207980, 317733333, 689233408, 570166904, 108477116, 304851076, 667253862, 759748576, 245299192, 657291825, 805467083, 669054868, 81641053, 623612928, 847975179, 650066018, 106940312, 727793810, 533336539, 333547088, 629783912, 888343521, 507107968, 384396453, 497563114, 708338395, 262066367, 20427459, 99094704, 774796182, 205780778, 934622725, 366471655, 353625590, 883484224, 152471479, 775646384, 923614331, 459177118, 368071042, 637570408, 35672561, 51110147, 397304920, 304223916, 216289100, 56698398, 728921564, 930819362, 523406059, 928256513, 397919304, 67449908, 590513425, 499395881, 537396649, 727085587, 947712556, 55437744, 991509230, 903979098, 459484847, 919364549, 335621908, 406656205, 153844077, 282510536, 714868578, 703115129, 127160406, 501666036, 780306807, 655654022, 589076451, 167464093, 484984905, 459239244, 845012639, 10402988, 695259675, 253309331, 146643427, 236467539, 46968156, 79973324, 764826659, 509530489, 381662960, 417661553, 282384446, 191192903, 706451423, 568731543, 594003873, 128817606, 986449483, 794351301, 977764100, 274327776, 939495312, 863528059, 438154536, 156246229, 917579284, 804932037, 199616525, 737640750, 988798782, 472724472, 967867814, 116693786, 356246460, 603026390, 322089185, 359331761, 267724635, 768996912, 200668538, 563928225, 622037151, 105505973, 941365443, 912542580, 172158711, 654452275, 819436926, 385688339, 894889043, 695387219, 473488116, 979632077, 522604533, 574114548, 29787800, 938007984, 15317607, 45997433, 193034224, 581551815, 353543020, 965722020, 669216545, 607629366, 966016416, 561855598, 310376809, 475443042, 81299601, 213600371, 542790812, 476768449, 12823542, 972224798, 606350844, 231817187, 159195073, 30861869, 862775512, 119541047, 972057392, 622492715, 770295861, 809926379, 797819739, 961632593, 238954227, 659497680, 146868662, 579702500, 59154041, 173375436, 481675429, 416478138, 785029441, 33006471, 867714383, 567523569, 150595408, 879548633, 947719531, 510643047, 572327714, 775246930, 85093749, 36598201, 821658628, 159713297, 989924650, 982922473, 622454946, 644840667, 36257877, 40669088, 333995089, 699619925, 931960470, 936986607, 878916429, 463105969, 298952159, 629988994, 518990958, 370077195, 180474042, 425494600, 523369608, 34251923, 102298117, 477988840, 696955262, 559178320, 863300296, 552108156, 223890319, 203413201, 842210914, 730957504, 956664642, 893908120, 697802272, 621980562, 836446058, 559888488, 694099383, 860947541, 230241667, 338144420, 226610846, 306040113, 833870836, 138585956, 232778950, 916826726, 121536612, 333899767, 356693083, 12737312, 845385229, 488673485, 435644630, 376303353, 523247955, 922163663, 954264428, 906106591, 847821630, 765288684, 690068939, 352313403, 222701697, 988346977, 562927392, 683761500, 290525432, 645726461, 40679495, 463618594, 232044563, 562261499, 591542643, 480216817, 603505580, 840587235, 236337802, 186764883, 335536337, 113072064, 604468985, 40058034, 870663440, 81733071, 486802668, 384890701, 443764963, 677241050, 56249540, 471884446, 462646481, 620174218, 349728049, 441532578, 309070380, 58268238, 529633260, 338261973, 63565086, 154480063, 71638770, 838098231, 201042539, 585459785, 302741145, 969637667, 626242866, 691915447, 514708332, 465606153, 468561114, 740558380, 52102678, 53644179, 356462146, 58253716, 918644374, 115722343, 929154863, 656212177, 525975939, 133527040, 453656070, 84097424, 556903574, 926610626, 564499236, 715513991, 49114183, 603484514, 928122885, 210556678, 485338726, 623149659, 490713745, 86867867, 394883865, 418334673, 667101544, 41794986, 673632058, 707617170, 763347616, 793572168, 406151962, 818883741, 964923422, 537388663, 702255211, 800766116, 101278506, 989795625, 958854967, 418549854, 640375469, 104978782, 425327609, 203528494, 327022161, 527987114, 326735567, 15593794, 791227673, 241150071, 330012733, 730738620, 832854377, 830204392, 724967690, 16471897, 616011050, 687336165, 713200655, 165167995, 182133124, 176568493, 431692960, 321783101, 856003309, 943327501, 144167625, 646894869, 325142180, 741185248, 42026832, 180112960, 143296012, 17983380, 459333438, 321484168, 886740663, 661296443, 475503403, 375620223, 317388745, 984231132, 372129810, 725660832, 74883177, 514462654, 933618258, 239436472, 399926409, 659664229, 587133613, 421428672, 82123937, 405392910, 485416338, 245733506, 155749169, 518347950, 889988349, 750862373, 235658914, 487873352, 936301477, 673367039, 3744476, 312448868, 575560935, 929025991, 686529101, 764045348, 870063339, 243701947, 46149716, 770399883, 148052133, 573613111, 541756363, 188982830, 467492118, 922095873, 158994555, 148457074, 711375750, 508437527, 280039718, 618269476, 699546541, 767671431, 636885237, 874666321, 256861491, 184738688, 517813397, 770074545, 129319528, 658153434, 735208317, 848378474, 545882322, 478916031, 791056633, 264833321, 839639649, 166397837, 79154968, 874917251, 340229964, 914971082, 437734844, 70763438, 376809198, 217336168, 342635024, 600313809, 407257561, 450739080, 229851494, 394565457, 292921821, 73201143, 461468105, 20683034, 185391034, 796553397, 191691824, 889569223, 348537467, 666887274, 740984656, 496420487, 946218219, 279943961, 337847257, 642716785, 938012261, 947126638, 293472223, 6853201, 500024576, 557579617, 774194436, 341604837, 64522216, 424998991, 911056852, 835800809, 385190970, 101341835, 429501012, 714712746, 413945031, 656836328, 670421116, 855323592, 527296686, 531902983, 726583011, 752132134, 787387869, 113726720, 65773883, 239452044, 628963805, 444746046, 757326595, 655429142, 147917151, 940104273, 782292889, 792778335, 182516282, 245337938, 639088844, 511078281, 691871691, 927493999, 763299362, 511799661, 577520650, 478824143, 961247666, 108758482, 922693704, 318430650, 23774529, 14815898, 619877237, 939573988, 737027925, 490883271, 76661621, 974339810, 936844288, 149021067, 551615295, 283265813, 371474154, 580838524, 251565705, 861666706, 76276418, 595278132, 108767054, 122505759, 657374792, 502290358, 165108036, 306541638, 370991590, 844011315, 440205473, 659603378, 565477491, 866000968, 443037598, 42640126, 943213111, 343185305, 62098379, 749803486, 398964403, 563798679, 127844554, 630978417, 814142843, 116534069, 301032146, 606037151, 262053961, 312409123, 662094667, 680595509, 291230393, 411224718, 30002813, 832844214, 779951967, 86189698, 982418104, 485914651, 200879493, 380516057, 970160877, 561665144, 392718010, 433336958, 153489251, 279216939, 372050869, 854933703, 184869664, 179082821, 864187943, 167333047, 679171604, 342168795, 46305694, 133766843, 318474505, 758299548, 701064981, 15351785, 395766713, 557538075, 760540930, 91091692, 750637706, 663709669, 580128284, 920002310, 112528280, 725981303, 207624290, 17866602, 848919947, 276677938, 361948481, 96302837, 256742278, 586381567, 618390516, 890808562, 874258535, 521050272, 542692344, 161127638, 149277684, 225925476, 71592079, 86224677, 606354662, 1359784, 60931459, 467806574, 334659208, 960376185, 60032566, 390091012, 369043539, 805722202, 476628711, 941673649, 268428342, 224463005, 169907601, 656392558, 906229539, 646334981, 70270720, 328364099, 639605063, 280212543, 912467907, 324971838, 153777957, 913630477, 560870849, 240298894, 814330379, 205383282, 641760334, 363722593, 69837834, 172809878, 446316780, 772027092, 708344159, 864374269, 195774083, 14505393, 690945756, 633223151, 61096477, 881734101, 90905653, 684675302, 786390648, 907272451, 624122103, 502934019, 281543411, 240041796, 398457215, 827096929, 273615457, 408189042, 252327484, 806503217, 78483397, 466584192, 654048051, 538303266, 407582589, 352089919, 299052818, 252819414, 762216813, 68565372, 794341730, 463962909, 513562642, 560169752, 540083927, 501673845, 650225326, 317909362, 976440511, 292627398, 43854890, 417987478, 351729685, 572199574, 119384876, 303784656, 3935687, 964624063, 200254569, 391969730, 388526743, 582110362, 473479844, 132116668, 826093618, 842587090, 230752332, 540618618, 358167451, 563259802, 694737016, 648099449, 34532892, 458514169, 694532678, 65506741, 962059417, 344900593, 873023359, 89458129, 288020641, 955084221, 336229224, 594034855, 943529529, 736010414, 281170394, 649947636, 689958371, 342664110, 448302606, 638913052, 829788528, 128805900, 592264316, 708042352, 634957532, 295369056, 622167982, 215371606, 39806602, 869494830, 391114782, 455520735, 773342829, 262394886, 678038231, 661551635, 479873124, 828333087, 214582282, 189069815, 318044445, 801014194, 284082800, 232415889, 151344286, 725060191, 447922746, 622685782, 115748661, 810224392, 291122373, 647319031, 631065926, 918713579, 105117575, 542034560, 793334581, 507121527, 260043033, 884862149, 761128536, 821163402, 737154072, 644298962, 467149284, 603670043, 863443470, 223332213, 557491260, 737622069, 86666155, 820459866, 492756342, 656456410, 500238244, 75554053, 263295506, 218216621, 878217215, 257860507, 88262273, 492254399, 387675100, 891040540, 897963412, 333082867, 265836381, 194407491, 744637434, 391294459, 809353264, 762780382, 64832258, 338062011, 470040203, 4009213, 500631374, 741243312, 779509557, 492357834, 542936970, 625794478, 939845814, 143867823, 812663566, 397563416, 924826282, 620632838, 939874596, 180562159, 964747116, 488489155, 199164773, 469186575, 470353995, 441514559, 12830066, 642945923, 794258648, 217962374, 689242968, 551401957, 760249867, 152138324, 254341133, 189830026, 920524378, 407153927, 491301312, 646849770, 136923764, 33143185, 769157792, 44265676, 938589327, 805688306, 701642260, 261710881, 194176067, 285673952, 767817426, 456395010, 684454009, 355282491, 884650312, 859569066, 141914772, 946025030, 812944244, 372994397, 634983976, 780726202, 555178852, 400664130, 389485698, 5482789, 263801809, 972699879, 356000619, 899476265, 291278987, 696809429, 364651264, 855787300, 484542862, 220769114, 801751221, 511451930, 578435259, 596614547, 702613380, 985081229, 925575646, 662252739, 655036117, 778635914, 927359272, 25425434, 377830153, 352625260, 729747268, 687501785, 717980991, 874871791, 338258900, 205635790, 836777528, 975857914, 769077205, 638539459, 122739054, 874683377, 102304544, 604308856, 597344041, 84287776, 493618054, 558562767, 648026090, 561866199, 201553505, 85441767, 672423598, 90179469, 307931298, 325434873, 731484491, 459703868, 435705316, 784387915, 545384518, 776901476, 424386203, 371327346, 31288142, 25442480, 900002095, 784068122, 147622697, 21647647, 59738181, 112419068, 590967575, 888862589, 341843497, 886067466, 411962846, 215061741, 715672008, 237415990, 9746881, 289913999, 241731244, 852829064, 96528216, 603347096, 14398554, 385304577, 53467603, 30243285, 646858473, 544133241, 362197002, 331159497, 655434355, 736429192, 248767923, 697636101, 652061753, 723623541, 114422792, 354614467, 389767792, 975330147, 733094550, 892654737, 481748809, 355412917, 95602166, 74014736, 555150720, 452660572, 772002207, 63700638, 921619045, 878295211, 990918787, 238355255, 95385251, 638571946, 501951889, 750743054, 699396472, 849078591, 190353747, 77790864, 977343510, 936871772, 295038760, 746967104, 839523183, 935166161, 790536266, 189029506, 278861001, 356488416, 995875300, 870268076, 541535151, 431731831, 221984490, 746722906, 213622200, 76910324, 530209127, 418458240, 751192568, 889467789, 616108636, 95732237, 406260104, 966453697, 287936378, 482790935, 27734855, 517986404, 999283099, 669811582, 760262942, 907836269, 970556743, 312915236, 444065497, 865462304, 843423798, 89161073, 682551540, 204877621, 913124916, 588333694, 297403731, 610902349, 355793447, 182496368, 286272652, 194329039, 438892959, 348860635, 880618569, 626640320, 413513638, 751359068, 956839421, 738328573, 574271021, 266008860, 383149682, 197312503, 688149067, 290384672, 915899594, 130427330, 282742505, 886506149, 201488098, 167895609, 669746834, 897637956, 570960924, 785486924, 386775320, 128603468, 83793700, 705911929, 998276116, 128670396, 543349108, 670732386, 151829741, 43193976, 129262986, 774689216, 895587689, 711536001, 762108862, 909677500, 949522973, 702351275, 424198719, 396807064, 197710589, 513897924, 985299046, 64769814, 31974864, 947869199, 22933592, 457267985, 334976277, 652550636, 49878909, 607444129, 443815243, 864727468, 719389792, 858151049, 257895499, 27060872, 617814819, 350188941, 663640429, 588479712, 699357870, 336398142, 455129307, 510438721, 876717083, 162200637, 152705495, 184585887, 900579906, 66251441, 36504593, 815561438, 580587588, 362417268, 532994023, 676661094, 585052934, 619800981, 829126911, 553386709, 466201807, 970129910, 462548233, 283688667, 193323320, 635302287, 437753627, 918578845, 890626061, 536007441, 988831289, 891558528, 559405764, 119020836, 525450748, 933869879, 927995150, 377746070, 858628370, 613509911, 626411997, 830417021, 52130853, 590509436, 783583442, 925053370, 887542279, 449282987, 675607039, 632805285, 626138232, 169071531, 831329039, 243431695, 971049457, 677630232, 747911043, 19729834, 252608176, 311275805, 963375483, 70055219, 668376734, 738948060, 451069846, 997998233, 285308450, 12889275, 639494014, 141865579, 938034205, 980199125, 603347856, 680693939, 749524387, 508218632, 67509512, 159772484, 982086714, 619375349, 690368426, 663871475, 248260384, 233397250, 599875892, 570612429, 260512743, 295083251, 585817685, 476100019, 689149558, 289284961, 565587276, 30245563, 136223304, 737246297, 802455624, 716909424, 383473777, 895918845, 828336780, 371878223, 279109048, 652140009, 912671880, 5051642, 635291450, 434052018, 173173438, 982316298, 440193070, 648082298, 351420879, 827536354, 52031930, 375214524, 625593681, 898479373, 390713088, 680824567, 261290067, 416052793, 954841593, 402161974, 475076450, 176224775, 583037519, 266115318, 666634439, 543253264, 976032253, 462713264, 281649847, 878723115, 748469233, 87087922, 229802340, 34608902, 480220675, 778423760, 870014672, 393045653, 839268220, 399520508, 286554939, 447866797, 693279533, 514306660, 162363220, 47117927, 82037214, 990604358, 367097064, 814694672, 835465473, 268729872, 791568160, 467278201, 550083576, 896161117, 529775954, 324812669, 335944836, 819209428, 588588556, 618521210, 91213046, 705375079, 912231038, 63600173, 134773426, 190900092, 6456499, 157169722, 473593087, 709198116, 90524967, 329957185, 616594118, 176412862, 829082205, 837444426, 923503799, 723625860, 685243892, 361736373, 210828135, 556044010, 628011388, 233978752, 401551127, 767872185, 995949976, 275913848, 217045412, 678651646, 3981532, 820460570, 176941227, 318833606, 529921086, 354114745, 289971104, 530150500, 64241668, 960814808, 737582380, 853465117, 343372647, 908821099, 529345298, 748275402, 595602541, 553067027, 487109877, 124856792, 547434064, 589469647, 672060999, 875580601, 268261496, 79183330, 84720692, 894559277, 285179638, 255997848, 153887222, 811456385, 250950583, 802025285, 910450107, 430004758, 18921785, 335274002, 714587760, 408944501, 712905480, 530754968, 304590543, 78000643, 23675883, 452030185, 68958464, 368305647, 969921263, 829016341, 715133654, 965161937, 98694574, 548066475, 728055933, 731989315, 384163449, 762467737, 101393330, 575099493, 15851084, 461616413, 804681234, 732464930, 28442421, 186249276, 871690384, 814207523, 923745992, 847360143, 129658939, 463845160, 874543960, 749976844, 127868007, 851522791, 913780219, 381147861, 987785410, 779422572, 252428464, 993269925, 812398347, 416713613, 261067128, 170343153, 196496897, 50895776, 273708852, 801793864, 67611529, 655793256, 236957846, 720310989, 240747922, 816377160, 578396687, 284935700, 147770240, 188672303, 142580246, 88251136, 463124928, 461119331, 172523562, 341958548, 696532302, 763173939, 680174198, 489484590, 331712216, 683578482, 299306413, 127346185, 454246286, 478455564, 778563688, 575788118, 965676751, 428605434, 735898184, 527140236, 150735969, 27463651, 248358835, 265956286, 401173059, 358692046, 890783059, 62079301, 85430933, 558838803, 933500759, 262119687, 209960465, 576362074, 28884892, 400990375, 605527303, 506234702, 440741445, 427199949, 294196286, 965083136, 624339902, 799773018, 950865324, 200273067, 595633931, 139867547, 189526218, 950831604, 612927636, 805134066, 36992458, 530605755, 294918965, 25064318, 506803859, 572085521, 596491091, 502177337, 700816641, 50214348, 787848803, 319776054, 227291901, 985606288, 356019795, 439759316, 589481964, 816920428, 685130827, 783954805, 970525815, 309608021, 889650618, 978810192, 711538786, 931483058, 173022177, 871931055, 242475325, 447528421, 478880983, 524262079, 710926241, 875977136, 911405559, 58158751, 574842471, 324809743, 92817493, 161090728, 369332447, 845977761, 199679758, 493136090, 708634589, 714393651, 217062252, 833176992, 621598162, 621046605, 733384295, 206692695, 963211640, 421966545, 491034132, 281405120, 675954303, 423340070, 823669074, 999577725, 190205754, 885144685, 702657826, 718740728, 218632632, 557436029, 761747151, 139173298, 190075646, 578331696, 432249636, 530336374, 535106786, 281619342, 865303374, 325608237, 722448638, 391597525, 936188006, 112783927, 943731224, 510068608, 159372713, 807932804, 740410061, 257827071, 981789016, 872837518, 870741042, 496300858, 566803717, 187903123, 979822602, 339376247, 485129919, 496453792, 404790296, 339729649, 155938195, 427523850, 868383967, 53394608, 226463739, 670325014, 570492260, 545667206, 701460116, 249653900, 414346629, 420273969, 777164837, 72486724, 464218366, 170527894, 374615089, 865067246, 14708141, 541604417, 723695202, 967690519, 467073441, 295959183, 257047020, 408403574, 121005292, 11722430, 922021024, 796380815, 464870168, 617679916, 84869296, 207949205, 439526282, 44549390, 523740502, 598009206, 350964640, 690275639, 670946990, 852012342, 876711195, 804094721, 199278656, 335768657, 382247099, 878537743, 407710885, 535705823, 684049386, 817478425, 342050446, 376257211, 767988634, 429418073, 433062377, 658392712, 776493678, 989897640, 38976536, 887788662, 602910609, 546316404, 929057299, 349644634, 438187392, 25384066, 605652217, 723459198, 343327008, 821455527, 227351727, 8918525, 759406388, 530855527, 638658347, 237021560, 325040584, 314975266, 985296565, 41673603, 14321380, 369672356, 230040537, 706377916, 705636376, 518147391, 404654084, 621880137, 758319485, 114660733, 509137063, 234073312, 447644945, 780514950, 458285840, 406591426, 572136119, 192449265, 113018312, 473650396, 535531065, 938969623, 482988444, 584437318, 275936143, 577905434, 146011379, 482837470, 30393113, 95819645, 191990444, 877877479, 640585059, 493431648, 745298944, 15404396, 184800509, 494297753, 696696637, 419198308, 437238658, 438561693, 752099826, 251999983, 285389885, 830903245, 95167023, 435700747, 207892669, 701748574, 896206438, 983993604, 694154385, 768499443, 37897269, 12348313, 379657233, 947894986, 601589732, 722447049, 272506549, 383174892, 184090618, 184295368, 569779223, 270667154, 653819554, 837977810, 575211397, 561068671, 411555227, 172143860, 434118365, 333693987, 862585191, 975542568, 649295278, 397888525, 595144798, 417725402, 858527040, 157870779, 42582991, 976031725, 493536332, 471695089, 299711084, 136828510, 954661529, 223211651, 800325297, 221855684, 207382985, 944610623, 115654998, 786420523, 997419538, 867489176, 435798537, 211456841, 188223981, 666929783, 56681695, 344349997, 596562923, 273765707, 127899232, 229955300, 945318929, 691615993, 106423319, 875489218, 773194455, 341662702, 840063315, 742800414, 932954318, 611845960, 552342349, 619952123, 618209559, 915244647, 804762247, 289720860, 818569523, 164893994, 2580834, 193886937, 868479401, 868173285, 250739786, 827519380, 293036423, 112040144, 657633554, 911125499, 936136325, 341577972, 474648436, 629494607, 152759492, 737073791, 370339489, 17750565, 599611758, 764842883, 674490900, 107009347, 387855165, 632426749, 629733332, 988495776, 154392544, 284545084, 837155673, 5071993, 999320904, 972902891, 895176911, 30413211, 91281021, 278860344, 899264968, 788128652, 490812337, 655063087, 23447359, 551708783, 612226556, 489694490, 170215412, 557481040, 455064796, 787467635, 74689831, 783779371, 823398890, 718355254, 499412471, 58939436, 568604541, 345749887, 859306826, 901839612, 683904626, 99064861, 296533154, 81246277, 30946024, 800299297, 907057536, 631233749, 911020322, 124546008, 158708981, 63919872, 990193306, 898411603, 618563169, 972314541, 308647828, 855569586, 754135141, 324409434, 502215168, 799638483, 272320670, 533387092, 637103364, 719820010, 26950750, 619882604, 685582832, 368149432, 84004494, 116342909, 282619488, 651694783, 217623751, 126475475, 544419428, 161974110, 482123085, 242719944, 844235645, 618652417, 408370382, 459405138, 362485424, 837165414, 316402022, 312166462, 231958943, 699706833, 638217344, 333481695, 973172177, 83983537, 609706486, 743564236, 269603870, 346854147, 225832521, 787705712, 810940361, 368993161, 935055237, 653244182, 333822770, 590681483, 253420700, 609446654, 420820519, 406405512, 440298577, 502777867, 190238133, 619962478, 290710283, 234160674, 114277790, 206454741, 737710056, 966498373, 171901212, 180075735, 573744895, 93495885, 500822191, 933199820, 367110595, 199666747, 590601473, 993191321, 414516594, 508839014, 599255286, 620591837, 341622764, 488082133, 36900762, 991459757, 795721541, 355822293, 792607269, 780806314, 479051126, 101110971, 110671866, 294600188, 516206110, 496505464, 981876814, 789451304, 689002828, 632969598, 775036490, 324212542, 579577818, 319109299, 2182556, 191933146, 464566042, 835512509, 357084213, 450595979, 566038584, 544850951, 688782648, 831982643, 924910302, 179882912, 921527278, 411385633, 222461576, 57741363, 461065886, 836576978, 848497600, 577771024, 272229778, 18654928, 364783560, 182614593, 564602136, 533911524, 647134181, 784684764, 929714595, 800928845, 310949690, 116280549, 428710629, 571668633, 472617526, 902737026, 211522710, 987525482, 133132092, 204215307, 472290569, 229849079, 623982957, 719977208, 168287680, 852021118, 547246675, 704564432, 265035230, 43913232, 287572553, 634658850, 980291631, 640665145, 921233424, 18350031, 891609736, 780746257, 236386289, 867197947, 292843667, 153698354, 743069386, 212625398, 727871928, 283226620, 855113407, 907196575, 535539218, 978664074, 381411235, 38299917, 202306241, 541858260, 570841109, 377977074, 829999593, 367360142, 101971839, 659730412, 268444278, 126416702, 409237206, 149152406, 989393648, 124234454, 840685151, 403620137, 400498870, 671461411, 980295708, 288336605, 946846647, 949546994, 422757248, 537741789, 310772072, 681474738, 886237847, 686128223, 353840926, 522127783, 323307365, 564161355, 570296496, 214558333, 246166173, 618956923, 455946972, 380957574, 908172637, 364783194, 451545120, 624919547, 643843788, 185155356, 249616071, 634008970, 801653342, 830719864, 689246389, 374836366, 869109573, 294407124, 774583375, 616881676, 690628588, 925825189, 255336298, 214632956, 124537026, 941407833, 495846065, 340572641, 44797188, 476135772, 511723199, 88321568, 3744020, 141081836, 701485724, 508087657, 51328599, 527606294, 108303581, 646432688, 529872327, 97032787, 907934562, 302354679, 629203216, 148675346, 875329743, 989974142, 681737909, 506766179, 556826412, 514961945, 140370386, 757110169, 13462753, 945905083, 334658465, 141225362, 885684619, 496240220, 934233947, 361113178, 633100304, 762537491, 845421721, 606118371, 787073043, 406054639, 810964439, 730910575, 188213552, 367359306, 260887750, 99908368, 679312131, 706431763, 408811303, 398079878, 647610614, 392711969, 665955831, 219774562, 272908039, 658300894, 187114536, 932536085, 363904427, 983081900, 172568646, 45792108, 435146202, 489694729, 792127637, 708626560, 883526780, 42428379, 746311474, 804061240, 274496315, 325973483, 583998717, 654896394, 804363845, 22291739, 39337047, 2107467, 161745704, 641590509, 954097243, 547741453, 903339081, 486314280, 224910014, 896363402, 297103232, 439430040, 68726540, 995834002, 954530972, 963514877, 683317288, 166591072, 448396849, 714281120, 581600092, 580876433, 439178817, 968536853, 514276226, 861086561, 779070026, 53001936, 531615061, 365765521, 125067923, 412341575, 381258067, 50537169, 336248079, 508907419, 21088390, 244380403, 292121878, 747557253, 73942123, 954026097, 824330205, 589153358, 277532141, 485252549, 131760269, 870452587, 84157081, 364082777, 756455335, 829233969, 58003694, 536333357, 913119996, 715689059, 385299691, 867388083, 678238898, 483573067, 960167258, 671333578, 36010284, 165009246, 471356051, 105364044, 888007734, 98505330, 227350598, 42386119, 121404061, 772789942, 750448416, 365828676, 865102638, 519189661, 937033850, 452753604, 660656149, 372255082, 225463848, 169026855, 43774834, 483203722, 798030244, 282071687, 868209981, 966653568, 343479275, 579878450, 394530494, 534049474, 247433306, 714483163, 221798915, 356124767, 776163319, 970577966, 326753647, 485359016, 519528439, 20209643, 187778268, 866397837, 211214405, 762936034, 587448681, 992093778, 793844481, 539376166, 268897397, 214126780, 305441250, 75668667, 58482824, 742292470, 282186801, 700937039, 264489154, 582947284, 80838762, 379878069, 83964482, 710032802, 153993613, 196233871, 808295654, 501014310, 731059779, 68757176, 140415635, 51610150, 119351162, 908392649, 354518119, 442080663, 198025159, 122424262, 110166583, 169061447, 707374482, 941210189, 44780290, 195481907, 597025936, 751882447, 957978214, 200787933, 841564008, 421780896, 25740690, 386404245, 547440751, 320078411, 701860506, 822861958, 124304338, 691908401, 499446533, 220096730, 666936427, 599331875, 722291946, 745374295, 864384824, 393635309, 450107019, 453278075, 63926956, 19130856, 465645981, 25961407, 733124794, 375503853, 208646809, 953455471, 563299726, 350587582, 424805634, 655918770, 321702027, 293058634, 989697142, 870127475, 528038787, 115450150, 777535543, 931254527, 760519424, 74027740, 13635784, 58218582, 996527107, 908823656, 452594815, 451768888, 97559108, 864356103, 622052636, 195570832, 140720929, 455761753, 17113427, 452472358, 179478961, 435824012, 950398558, 668325941, 272032021, 615686602, 808311434, 715651067, 174377813, 60365394, 377742351, 875549856, 612312622, 28130378, 138243383, 451453114, 267356858, 503668237, 991653297, 873037039, 625904217, 517169424, 154736882, 900639605, 668719448, 143516245, 108785212, 39631023, 812009542, 836992355, 28298176, 383405029, 912458920, 393770320, 642851902, 395069152, 290303980, 637418112, 527285856, 659024956, 738182137, 458005193, 940577301, 67091450, 885401890, 653803785, 380137078, 881837920, 500492343, 780204642, 659859031, 474303266, 761421389, 349747443, 503157161, 761249009, 944827112, 509423709, 873298442, 821717920, 267319364, 328944004, 689290205, 589044084, 892553425, 911561884, 860840314, 853993219, 396408205, 398079164, 696689918, 585979524, 846013177, 318295354, 516123355, 700100848, 373546495, 462945963, 655030919, 70981359, 259462542, 670236809, 93613390, 456192738, 948903343, 718356070, 196993427, 359528558, 268991923, 300600500, 788994995, 943206968, 545087299, 465284809, 321309617, 99268435, 586865063, 48055334, 150036204, 931696339, 423343261, 484426917, 427412908, 434234198, 272743304, 259899330, 296761060, 373984516, 996342712, 332197557, 386036185, 702394889, 390460731, 779584686, 485768416, 256260492, 811128850, 60849049, 499449998, 172955466, 503926220, 904744626, 365482311, 608782289, 425574202, 963533197, 37485566, 987145743, 847946723, 990918778, 154260906, 47273787, 207378175, 668920406, 148100057, 147185149, 834086274, 478391782, 638921439, 788803371, 76266921, 631700596, 760704667, 181381517, 738067681, 45181563, 455965557, 353704446, 222316617, 857055610, 820088703, 945213191, 506238651, 768167304, 915006478, 288916475, 91416901, 446471532, 516297678, 290094890, 742052261, 350529811, 707277277, 319247473, 72571808, 500799323, 758631940, 863369924, 11266170, 807800476, 339631343, 526222586, 148553315, 556966035, 399652962, 342890555, 449509988, 86445637, 563654756, 576127354, 404725597, 469610944, 608068965, 540545348, 367236443, 714114241, 379592937, 290259177, 619881886, 216835874, 86905138, 332253769, 36659528, 367043756, 87959195, 648469392, 48965734, 231864605, 438873743, 598607244, 537628130, 134020880, 971645059, 674478177, 462502001, 837449651, 815274607, 41865964, 332654136, 290508408, 813908616, 279727898, 581941718, 7823284, 967859940, 918174821, 561745017, 910497992, 433266171, 766898853, 844888701, 83472065, 880065196, 898557867, 113082233, 937090092, 91885958, 565643610, 998501781, 913245937, 421758233, 972634121, 206662083, 464513648, 815910642, 653545774, 666334321, 495593213, 100242510, 469267380, 267352473, 586995995, 744093191, 152263722, 250031731, 11153, 110128285, 190952838, 427862391, 428368479, 633893845, 382940783, 771869067, 484293273, 689744126, 121706499, 942489305, 70080257, 796998161, 377066978, 212420199, 660228575, 952170753, 132840969, 508855167, 936249382, 146662761, 957462551, 7942588, 579987484, 596083794, 579534845, 495065006, 460028333, 939129179, 909457599, 851477029, 992068700, 124001483, 21940703, 91592655, 517048540, 343760285, 688284609, 841928403, 385662358, 242570178, 542523297, 194863701, 780079054, 371874400, 286331196, 462149519, 136886264, 154938333, 836711125, 496734396, 208744931, 709490181, 426484854, 725269618, 665876718, 911892820, 455400199, 707619974, 355850883, 379749823, 481626061, 454864272, 76498440, 692925876, 593123857, 678242983, 386781633, 909695067, 870568688, 330492999, 191771292, 762942868, 932625871, 878593090, 9653263, 466099419, 374103418, 999467176, 504109765, 614069052, 904882529, 566046275, 452574155, 679542237, 487487686, 670969655, 990914847, 728486219, 404331556, 86944462, 944837518, 267923648, 401634565, 736736972, 433931499, 823447648, 108038892, 380154280, 561081242, 971585640, 501152218, 829610234, 491687523, 802620296, 499958895, 480126804, 336765539, 522809545, 996276021, 833178374, 721786968, 294778131, 992325829, 935451973, 153819989, 509689040, 201728679, 443559669, 422432551, 113388213, 724375477, 377149605, 973345778, 605813569, 826504658, 954802549, 819710027, 453858863, 277235560, 154370465, 924770907, 744185799, 541099146, 124914929, 894442597, 305598208, 470569789, 247198711, 413243567, 197849708, 146596556, 179360005, 413481102, 103783442, 681300303, 104153603, 340618522, 79917284, 641330658, 690751491, 938832103, 129331137, 591882417, 850285938, 745428229, 890461572, 705132936, 158164802, 103883536, 505897949, 871971717, 745965781, 412841821, 547559505, 212064718, 802232916, 833196985, 75552472, 916269495, 708257845, 490088334, 770725418, 706166973, 648236087, 603239738, 12194743, 382975162, 899620807, 172251639, 570201933, 348517684, 121204380, 24012630, 741170901, 889989534, 350154860, 545728669, 845256522, 818688449, 658647351, 128728758, 164582188, 288876014, 690828200, 958678752, 698130303, 329564441, 810062630, 736221328, 667114760, 975381913, 699008486, 59729452, 330893226, 129580215, 821558765, 435274725, 602228634, 690674252, 17913203, 184076174, 856928278, 67714707, 423951463, 148706337, 169227737, 469223228, 75702307, 560699038, 982201991, 2724609, 968528661, 398749272, 715386253, 703631548, 698483014, 13794642, 873732846, 587626512, 882803420, 995026339, 353724121, 229256288, 649600541, 37713757, 125884066, 817447936, 860383675, 702204914, 115990556, 877048836, 9469403, 754101141, 483202752, 811339125, 623393545, 698042480, 754379407, 117014550, 338934313, 448269748, 497366479, 291958148, 495552981, 220662864, 898126305, 551889487, 789043568, 592550649, 614888080, 204912579, 18823413, 506581027, 992457717, 532356157, 526192364, 457426084, 952245470, 800143002, 880931867, 485725043, 558207744, 853969417, 553850779, 565962734, 390378126, 794408768, 206194146, 409862992, 161288802, 154263751, 893075618, 882089811, 115993229, 473554195, 192267861, 452434112, 684499669, 191363005, 774686205, 864800042, 451946743, 414905812, 168294710, 209141588, 201346786, 134415318, 865296860, 296296975, 579886144, 338808739, 173038872, 761503897, 317220000, 793753109, 254538440, 491778754, 326426628, 361531183, 406042356, 152456492, 162966165, 743773483, 621828533, 582558237, 248406323, 870627766, 244095092, 200430156, 315958736, 49434710, 148675974, 412757324, 242772589, 650344744, 383622962, 45783127, 283238947, 743069908, 780339278, 683000764, 830043676, 146065876, 313995874, 870355060, 231760361, 242154300, 499165134, 166456310, 159468393, 589279058, 739791188, 791834272, 447669581, 386960086, 716926584, 541821101, 402397730, 818959761, 962295099, 336957677, 727946112, 811445997, 539506049, 751798355, 666598596, 13728323, 132203814, 267934301, 828927374, 820002843, 132924014, 279110496, 645674142, 477331249, 838335709, 397603766, 745127974, 575448696, 953120399, 977828993, 409468637, 45967043, 345612390, 335216186, 888819848, 781434339, 343297806, 237092541, 453053428, 761359435, 668514283, 922656840, 516723031, 455413707, 787884465, 273527773, 767104882, 961981153, 959445639, 869464333, 71712473, 693619437, 693736726, 381270513, 716849996, 340587831, 62250695, 448863840, 120455186, 268275347, 837349633, 933168505, 146113520, 414302408, 524609585, 432115386, 766891389, 306608621, 827672473, 522842106, 183309760, 462721105, 446976280, 365869505, 648679337, 279653976, 326122224, 704060859, 839739783, 542729854, 622583293, 68163845, 393085175, 389591174, 635494202, 982547984, 378419039, 379196511, 308259705, 149627196, 844175542, 239685054, 823469706, 507695572, 377613488, 747201789, 766521594, 717463642, 824783807, 928956986, 789898655, 510104437, 288086429, 791700040, 510015724, 183788841, 77904465, 542664714, 690293333, 558158061, 872550315, 6383112, 984059246, 102613720, 649460857, 985643582, 988058928, 639269139, 240527813, 873596162, 14270732, 672926056, 582703801, 93842119, 966552892, 113754297, 407310234, 368501132, 363680523, 253798913, 461683712, 516887665, 197066964, 340998035, 218315513, 351306041, 982987128, 673859963, 517798841, 8669033, 191152548, 348996550, 763779851, 152255958, 4059484, 180639182, 335283738, 881632018, 721652402, 738904745, 13080287, 716907019, 895492110, 6315309, 230797123, 539132227, 398552015, 397390876, 259479816, 987039094, 79738884, 534117418, 878709631, 315114374, 284640757, 957702221, 253050611, 654167521, 933897808, 394581108, 713511225, 386021492, 602326888, 702904311, 916420950, 255751304, 582741680, 299840342, 214757414, 573646520, 276399639, 286362337, 591761009, 750609878, 462112925, 50133047, 681606777, 631615622, 784430185, 115538036, 779344669, 780110126, 375145594, 871447420, 30539700, 229960667, 976164059, 764909721, 204037110, 783957693, 909156512, 940104262, 291227645, 27925299, 686368903, 666266490, 409136480, 916337948, 537682872, 959297147, 209197097, 781570802, 475116991, 284175255, 593264705, 8417522, 664730397, 734919686, 138413602, 12270399, 432604276, 327366498, 925806274, 528776701, 811367490, 605385445, 541403778, 319964492, 40942881, 200431238, 995594810, 787999619, 177417974, 677265453, 263678381, 925897164, 940983468, 500106795, 708727897, 450484839, 722296080, 604805362, 327430574, 924750223, 718461006, 311986426, 613552907, 691304181, 399968475, 676136362, 266762616, 827223343, 524488777, 682635285, 364520553, 247494821, 838355705, 896383079, 27913746, 187333965, 379791099, 120945202, 996021486, 544054792, 181600708, 546110868, 744957167, 466234898, 641348425, 650317351, 848651459, 239000600, 498381679, 812190994, 517614815, 312411447, 432484553, 473295921, 207660605, 48196060, 59833697, 27908828, 418362272, 921138195, 127376516, 633701808, 716429344, 585234350, 79992884, 442187376, 5421384, 434588534, 395598229, 669190019, 515396478, 684602891, 781754032, 237046300, 869589607, 960628063, 120424909, 43318443, 923841513, 319283592, 771878669, 534588938, 428047607, 741484767, 910437705, 158127516, 788877572, 276410035, 270943577, 605342770, 650479751, 109471922, 679107142, 195290301, 130821246, 881872837, 613240767, 152136492, 514802202, 137339972, 906709429, 76410957, 168526, 455516635, 794269163, 83455763, 586268303, 414485773, 432402998, 827757391, 449307787, 217708317, 337675430, 138345105, 349920423, 406747539, 897789203, 226029221, 827999752, 864775550, 833366000, 557295192, 292392602, 57608010, 153522353, 326192159, 241951800, 664557479, 490090455, 603805343, 348562387, 495188263, 496261283, 128090598, 645058163, 123909450, 73296963, 534191465, 177643359, 220194860, 845176293, 790983288, 366121649, 17335067, 822590193, 951031239, 417683735, 177355684, 907833852, 422045125, 120230845, 231559907, 122980594, 57938289, 922726254, 776174059, 189253086, 320408371, 261033072, 99687162, 419838243, 102626573, 200054346, 631028129, 853887839, 679009060, 321206799, 708734300, 144190542, 893689633, 379544685, 363109245, 241378081, 740039738, 929856872, 229686536, 477581422, 654864346, 474785436, 827660952, 509068545, 295269690, 951551447, 981446914, 686105461, 237163676, 159997381, 677637676, 135323603, 68766022, 558306891, 433961828, 370991013, 31528625, 935407620, 804911255, 287217179, 338448439, 892614852, 307364310, 503458154, 61011331, 762592491, 59552215, 850395787, 153253118, 575270796, 238486897, 367722612, 522266138, 507425964, 959480114, 641439382, 394783687, 978019914, 644867269, 801579639, 700723750, 103042244, 101361338, 517678263, 521813144, 696084485, 941933556, 833765011, 972408556, 99806880, 859897950, 738532286, 707586008, 197242096, 427096653, 483402828, 136053581, 581817418, 121920079, 147850304, 696818543, 636499283, 806228352, 950733810, 606412478, 190478187, 822898970, 56843381, 623558662, 791466368, 244932110, 787875732, 394279032, 472949015, 90558355, 164288909, 337534714, 329526757, 725253998, 794318226, 418093424, 583249440, 415211424, 923294013, 217994771, 799611946, 935801687, 549927280, 817019084, 664125294, 556125462, 488260530, 723045782, 417978419, 62933416, 517725233, 136071639, 50912642, 899813488, 277643437, 612758308, 391976800, 659105010, 285123462, 548391552, 700030825, 976094673, 966384944, 464656716, 151871762, 37094761, 460813530, 944537335, 451876658, 518396734, 224719037, 426411557, 123915442, 327621681, 707113519, 771031288, 27393800, 470524680, 668778083, 655461203, 470715801, 992193644, 186644974, 172132452, 722924438, 70043286, 66706750, 584739813, 54104091, 130173859, 343109397, 490846227, 57908964, 856084525, 970226844, 824359108, 973342568, 667645118, 958010249, 116383757, 651061606, 220200311, 633337876, 961418, 560455304, 657121774, 12402945, 414233562, 127079761, 46320586, 262533732, 560561658, 850839618, 855835448, 770202735, 102952171, 838629375, 336687854, 625459139, 339985846, 920569099, 994043313, 586281226, 57162969, 299775573, 54247414, 456217868, 480512009, 589427878, 806494631, 782986063, 660883619, 502320205, 600054744, 793107197, 984095367, 463038851, 32293738, 523459407, 624767950, 968086608, 391029024, 723503053, 266992763, 99754029, 765620390, 822909347, 906950845, 23155549, 65952427, 752338006, 61680591, 232941952, 726349655, 668231440, 991595750, 63437411, 186906923, 315033927, 153969652, 924332694, 524420734, 130738105, 994094876, 955262908, 517782667, 657122441, 320270478, 43972352, 561886671, 961403513, 977007523, 60467640, 192725497, 583129215, 644342838, 478151254, 791424648, 119325452, 977408696, 118389541, 999656200, 281636910, 593792526, 143204401, 740047217, 824089947, 71162730, 650457494, 537042431, 844476142, 215382336, 880617131, 767475365, 126250075, 472306731, 833009941, 641085774, 848704434, 150823637, 741370626, 898810209, 861865700, 841307006, 96037424, 707065650, 959914958, 896947050, 698051761, 469970600, 833108645, 928744615, 655812340, 870469224, 440310085, 952587150, 635739163, 595730288, 915478160, 995232569, 467652172, 240065826, 403623050, 569570644, 983117052, 247258879, 133812056, 864436656, 92179324, 523989778, 930090368, 482716219, 96329075, 813486660, 929333005, 899794518, 674353801, 840219954, 296281529, 93548949, 481928535, 432344974, 631239345, 349695977, 88341800, 946453682, 283357481, 875403518, 974809, 220527751, 863538609, 597890034, 180430265, 304999933, 221475387, 482506992, 886016216, 779230574, 235643811, 403841679, 289843779, 104441648, 101851623, 680746230, 538516641, 757939756, 160088695, 749508069, 16234207, 84731774, 486874225, 765487846, 639447578, 350752124, 769204284, 1635383, 421632659, 332350377, 871007879, 638932112, 583415356, 535811703, 272338948, 387586045, 78693690, 896228194, 615041111, 42097876, 113282137, 928930365, 176766198, 727796964, 888786724, 686105862, 301973878, 558387818, 904722274, 471032791, 307164329, 479964126, 844449107, 680186138, 581660667, 383758639, 635983302, 723355267, 665619393, 756625722, 58256211, 495856611, 301792020, 83944703, 134132850, 849718118, 130989568, 919291980, 291314354, 399537582, 872942299, 241522552, 765266679, 778489625, 966232604, 287628208, 86353495, 918399362, 522682184, 95416834, 60338491, 114633698, 608635945, 267034084, 905728425, 446255917, 161553393, 63173537, 575852475, 375830173, 480053566, 517095035, 90020855, 851046837, 242648259, 202684195, 134979206, 875598803, 976262908, 988428992, 560348129, 140396895, 455692505, 982567711, 518244456, 474334049, 468232097, 269187945, 566864531, 8468062, 6394145, 302310214, 211448131, 305781591, 413712005, 629241207, 261119487, 28829089, 875010301, 524803161, 580372691, 61729141, 53067615, 99868768, 293579407, 31791401, 111601246, 231086808, 305783987, 371765661, 979851030, 545598163, 644239565, 316617805, 602974321, 347442496, 620084798, 838277488, 62743509, 494386334, 383632740, 346519392, 958287202, 777907391, 949247961, 852872826, 491286878, 162920404, 454836992, 433827208, 814560440, 265394326, 248091504, 618689854, 129230132, 630475393, 494039950, 135346561, 89805417, 312386334, 254848179, 14894512, 187354450, 415232632, 56006560, 667179989, 292354244, 932418115, 374758742, 13903924, 502944877, 689426814, 290641778, 934770985, 209275366, 783552260, 189987715, 39699815, 970645055, 186728623, 724422085, 272029356, 197889677, 145596160, 593513376, 312474846, 846133741, 212751315, 143244158, 549941342, 916187119, 286142242, 132436109, 185368535, 307164701, 278333973, 69360398, 494923316, 192121575, 887425829, 455434029, 551520524, 931520372, 762722942, 434641474, 691846587, 335971299, 450630936, 512224930, 555062209, 908536874, 210795477, 390418938, 272362069, 203196360, 934600649, 208709892, 722616825, 766509753, 854484229, 862059956, 343223474, 578070511, 412802121, 363894881, 496238877, 189979161, 482530793, 785479632, 653471959, 584014693, 348027879, 420804891, 438770726, 426721399, 804527894, 486018254, 503479598, 922238314, 459288472, 92164625, 970985633, 466454289, 706541225, 160351289, 386516460, 322710343, 882414767, 615734146, 347530363, 62401614, 247216475, 904904478, 778705661, 120854555, 805410184, 283716702, 279494851, 793029133, 704379125, 231875891, 513582210, 988818109, 42646964, 669347423, 373190213, 115819910, 908996499, 196907340, 560872563, 445290542, 863797763, 493253029, 710466474, 515545883, 116922579, 718927082, 520032416, 583124878, 296780927, 822474335, 868094655, 832711306, 967382570, 56225180, 241641552, 771529859, 343601223, 649591839, 657724456, 752558413, 960194731, 212162006, 11086433, 710942674, 176330583, 604161164, 517467236, 62572089, 610692971, 831377003, 795980680, 295194098, 997081520, 956187001, 592831106, 517234630, 967804351, 779010379, 193925979, 258877875, 294712622, 527665398, 12337131, 629935377, 652390343, 928015733, 952506395, 828955756, 632470525, 657001679, 602116906, 929040718, 115087064, 773951283, 627631871, 746806640, 766837604, 629271262, 366790883, 653147133, 619147864, 349836074, 313187484, 795240016, 415470051, 341998331, 451813058, 941317089, 885505646, 945321125, 213961808, 173801211, 195352422, 683660615, 452050038, 506354949, 159727440, 656314872, 858683287, 964314792, 186543674, 321939266, 121423394, 849635657, 292058919, 840426749, 123461351, 785089074, 422576416, 164673309, 944913582, 225891260, 505862777, 762941234, 170305254, 951873847, 605734274, 236380618, 652899999, 108525465, 294674327, 460607415, 424280218, 641481544, 372968680, 386071694, 253610464, 798148429, 458992587, 983107562, 750234791, 177044547, 497889029, 201473749, 373727519, 836907914, 669989253, 970200815, 333931870, 548634797, 938528597, 898368170, 818405061, 965877369, 201937459, 792467262, 90105878, 546130687, 147082783, 71689351, 815280445, 947810089, 365944688, 517754089, 540487058, 996429565, 336328265, 4279367, 20595454, 228614822, 11620632, 442479024, 615654743, 85520668, 315089519, 145721074, 756758265, 528140140, 561800605, 187227799, 130124682, 386523545, 580889990, 197033853, 340575298, 549056164, 472634157, 31994297, 83609050, 283677772, 337527211, 937817717, 408434558, 539558439, 534484642, 89697242, 294447626, 549830236, 229738105, 277944556, 322388042, 609233315, 521265361, 409517731, 686593130, 269472125, 786533699, 406240116, 421720679, 337370486, 718564906, 506732004, 509814802, 77528981, 756112632, 901799108, 251370348, 613011132, 1533290, 823264720, 669546072, 561410631, 964928273, 114866610, 148673966, 517324244, 614013057, 146127022, 72150145, 937341683, 842778993, 595629884, 271926740, 745351571, 300916282, 197021984, 811352317, 267223755, 906263755, 673879445, 865907213, 57163750, 136547781, 772596413, 689814585, 611085397, 812727833, 143383814, 627611636, 265414200, 995940866, 301640900, 758651528, 84553643, 141798616, 70173673, 638935456, 802136889, 766272567, 786133214, 234506545, 472478113, 769904445, 824702635, 156844601, 947112784, 734020070, 518863403, 528967991, 877680080, 989802319, 993129370, 786128257, 371406094, 780948479, 935798652, 587519252, 805974960, 318683708, 998795986, 321716761, 980147317, 481406499, 485300820, 113113437, 350285413, 433824563, 714861899, 917671271, 770604630, 533350123, 530740401, 704612081, 225103590, 385156353, 787399617, 671906301, 959402965, 94630415, 940887712, 585572459, 966393811, 938429485, 227371661, 162794696, 4581021, 779493031, 356226531, 15097445, 866645350, 423845767, 934731703, 523589449, 533251972, 54110914, 519521425, 594388205, 407574971, 824597520, 833403702, 941686285, 35416773, 489744233, 975022251, 689653537, 865740552, 59505371, 684536497, 477178860, 389756938, 364371469, 552895415, 554468484, 48867960, 564649059, 623183027, 397565875, 434381657, 414455405, 982300248, 295347423, 248418845, 441682369, 506835718, 32245833, 151127073, 497295698, 355276352, 750000575, 518551835, 98401413, 699250636, 238580342, 539405631, 29722630, 739250072, 965273315, 52631324, 265087949, 279378543, 773796911, 431293528, 820929858, 792383838, 846307513, 320232613, 796824005, 592720426, 870345448, 173270341, 653604667, 856631119, 954155169, 394251484, 640731451, 319729587, 675327626, 350493252, 771829860, 250958719, 478420121, 832272668, 146852764, 407671414, 938797049, 848955390, 300763014, 219461449, 413524086, 670532453, 296964827, 246474964, 131004637, 103230508, 331193715, 293815069, 625062994, 917346169, 909380673, 795745425, 696233426, 929103970, 571950526, 477754895, 237732697, 716052788, 261858590, 966719082, 535605819, 251511137, 386763080, 545399661, 334299544, 964664337, 776539428, 724107575, 319427252, 890103224, 836158258, 399551825, 531194488, 385715230, 690991597, 45749978, 213703189, 245857709, 771876344, 653956789, 254732547, 40550219, 803947578, 700107366, 402698682, 589459652, 467447589, 944607682, 600366200, 97073290, 47486680, 162736740, 496123349, 920855891, 609380675, 242754473, 660098331, 936168145, 741905131, 464699305, 451918993, 301928103, 907709350, 706504467, 309452398, 778988634, 51715737, 468182841, 301044830, 31824152, 312750862, 604225343, 679052600, 955080684, 367499327, 846007753, 375619467, 488739129, 58421502, 285771206, 996505682, 137513535, 267638560, 968136878, 26364637, 124729440, 125937566, 766809417, 616466980, 328900534, 105787014, 994359061, 835088122, 379934816, 432497060, 878856740, 74765893, 676835310, 723331281, 763820720, 352485237, 679778463, 953035903, 738011990, 803672233, 802791451, 7873139, 397490105, 473996106, 954187249, 742532623, 466169122, 93896396, 515394048, 555052180, 441472894, 859853017, 496759089, 980038069, 863111282, 542119355, 472162202, 949630998, 398762776, 721824106, 26225345, 449331071, 307973019, 210881958, 365057165, 751119693, 640205675, 434517355, 868194771, 344701251, 23582239, 336077529, 802116200, 630453960, 465543579, 523547605, 374683212, 93548028, 402180941, 548348840, 328334544, 371017161, 441266105, 946866763, 301379717, 591360727, 997157221, 81135280, 208686697, 22027904, 229455372, 648432372, 319241519, 397663434, 422294579, 705406077, 148275159, 14063770, 885389552, 76025027, 821680411, 554833071, 333667669, 402340413, 891925756, 956110637, 87855126, 769187164, 154190905, 366584511, 358937279, 951862484, 339907767, 744302742, 764535540, 588035567, 498800364, 432503675, 368383501, 410642495, 896006486, 535353050, 376464779, 675896530, 829027191, 580153959, 708101564, 833128796, 926761723, 28891550, 38528110, 193552648, 411526491, 734326396, 356515541, 452563365, 541250929, 442751075, 440729291, 877380376, 577510107, 227830596, 224778402, 688608141, 937320049, 771790704, 475240267, 882638527, 425381656, 425511673, 639007844, 701175769, 98489894, 27351416, 100318291, 751847812, 498793170, 99389115, 329514932, 427400955, 724025882, 900570595, 368041047, 566169721, 506474699, 520886218, 554125202, 690439391, 991720736, 24511970, 557191887, 954243481, 382668703, 793266891, 189667065, 927023165, 797962990, 140814859, 538141711, 608305892, 300394857, 543380135, 14295727, 589990516, 759878628, 945880572, 973620552, 211589347, 675264266, 947023027, 661319328, 912695114, 261249434, 784993590, 63633715, 880259108, 974871507, 258966483, 579340999, 339445094, 562934265, 451902518, 946272880, 804870390, 480835170, 823176182, 178600516, 688435756, 406737385, 834104337, 591848310, 798710456, 928828496, 482194444, 244196633, 995473136, 37193003, 676190687, 942119741, 249435829, 238532004, 289783302, 786549283, 2257120, 678699105, 536576769, 763277983, 934679703, 695509039, 240740964, 240720672, 580797714, 203278761, 345566206, 660013302, 56809904, 198161129, 213386370, 789119928, 311808015, 595717406, 579297337, 60016309, 976591037, 60158170, 902064, 15880382, 761109210, 348036779, 14109877, 694243125, 588197985, 313657861, 648467753, 897503769, 700954394, 940277821, 257078044, 55415190, 733999783, 166464797, 78246114, 171898583, 454135721, 191108574, 34083353, 875641231, 168470204, 870091976, 684288028, 9456707, 153275183, 522721516, 746176481, 887924270, 330573404, 841768245, 834558642, 905950682, 840129182, 745968643, 580177587, 523910513, 19419138, 570501719, 619651713, 16092292, 258889740, 796361241, 760019579, 670197562, 630897333, 417951006, 283272279, 813793785, 614221162, 911976659, 593590255, 232594796, 478499296, 650916385, 658587792, 974173756, 147906101, 212154556, 222264042, 533175098, 920832941, 822451121, 414902705, 696318086, 952581337, 901909113, 92567403, 362099716, 667143867, 328610514, 961147863, 840029465, 461828563, 224186253, 740780341, 749106052, 92644846, 15302730, 499026158, 343549314, 221206098, 932999437, 862480670, 471381897, 678230840, 603163946, 514467929, 713321464, 334024143, 929411493, 167983393, 783190198, 675248849, 512505442, 890315863, 475051367, 421144895, 312515764, 754602120, 378953077, 133283645, 937612192, 688365286, 55865648, 980925067, 874564958, 357791832, 480976495, 96218846, 446561309, 316481415, 853054770, 142216783, 301792445, 375207329, 184060219, 209032368, 243627062, 648628051, 687237896, 855139904, 146218942, 908126067, 622840978, 751707552, 68304508, 146560599, 80732484, 10194546, 908679904, 862533742, 966743373, 763683391, 129584920, 516088378, 510798804, 843395876, 877863332, 517849916, 222690449, 795604780, 575300245, 388131776, 589296587, 23894419, 964333388, 390795194, 890635183, 794853936, 131597636, 415257016, 14544034, 914242708, 139347370, 382340784, 590659318, 55297208, 885091097, 671886962, 36274694, 559884782, 744683000, 134659564, 30193291, 518284604, 750070866, 640649656, 682208107, 374123324, 471980309, 13053336, 377917517, 521793540, 228116600, 255438699, 579747832, 904461881, 979731338, 739209518, 645943167, 758229396, 172425010, 520144309, 101274084, 507336306, 810645837, 225921400, 237451256, 908617177, 564292997, 228626146, 826344301, 378850609, 449772558, 508028847, 166300590, 728892653, 757570705, 921705664, 107127238, 470368893, 218418837, 326148972, 508085037, 973819971, 327615747, 792895490, 737968165, 976853859, 68854484, 663473516, 439635334, 489163943, 269554601, 435590125, 954381465, 448635301, 530394500, 887390453, 128281846, 51786737, 942594199, 717948617, 121694064, 494373398, 969644116, 769135689, 917975986, 9518210, 64294325, 319024771, 86939313, 555389311, 152514134, 819841364, 116629348, 302831024, 606267080, 466881798, 302374009, 430606363, 915796563, 823236243, 280980174, 175499763, 465352408, 314946626, 172469926, 111262165, 443256385, 877535834, 888468636, 44480204, 808523249, 933005397, 509181982, 771240328, 124324572, 691039257, 14376615, 967744272, 414683557, 526568589, 119615836, 898471937, 821896923, 817768783, 500940006, 667351995, 746417953, 205342063, 73791091, 301907128, 157832280, 771127844, 823464668, 7050280, 440141230, 447196165, 191804541, 452026885, 87347166, 276831040, 60045288, 734465819, 164560833, 199230799, 349216876, 428543293, 772522955, 347184953, 62340406, 54577140, 272726833, 794454806, 985751704, 341174474, 621985059, 692859155, 469189763, 321043343, 329478061, 343608954, 592782592, 879104522, 63173355, 413290636, 56255892, 929609503, 879749990, 702807091, 927760758, 746586888, 539058098, 127047623, 239033011, 555807535, 283062377, 272971449, 251977715, 80040060, 174738522, 983248882, 165602321, 67218160, 224964621, 894042159, 410101927, 520955589, 806873074, 308033648, 835263458, 11964240, 336858967, 198715807, 372278844, 843790923, 402207080, 241351895, 748877352, 702886910, 606916897, 769495286, 889412313, 172815805, 762669762, 296465696, 219756279, 323192882, 645319337, 590478084, 606671802, 251977841, 460687979, 434785849, 954050586, 841685742, 20399223, 683568183, 596291616, 222321052, 329184104, 520255361, 405636904, 680569303, 966936172, 2048902, 51321264, 408628815, 894248043, 436922851, 319754195, 727113161, 476616401, 857769200, 406587878, 924680356, 752826071, 230077605, 677605001, 264662666, 607106695, 586631397, 986808348, 469370556, 70085022, 426516234, 251182268, 414082164, 244381621, 330413331, 929098136, 80892264, 878086419, 492077920, 211750697, 295452807, 882560159, 873420655, 611155739, 37938835, 920898531, 867955246, 335742551, 169973162, 733695946, 899652780, 65354334, 513302150, 304859099, 944194106, 126428089, 533595542, 572286561, 572817065, 924129706, 512976948, 127706863, 655094408, 271484831, 59690887, 625625794, 719702453, 601881560, 26280177, 12826551, 434333704, 149322577, 946892, 228689746, 980028706, 612494720, 303269874, 805912980, 548784306, 248100075, 424988228, 434538075, 519525678, 163030788, 411733318, 149518659, 634610110, 963465495, 678635478, 299284051, 608728547, 57203784, 965957016, 348207775, 150465499, 622587473, 626159819, 727250521, 159473586, 310533752, 67604276, 6992121, 960546640, 497030182, 426800915, 362409769, 198309179, 950727197, 695291089, 858723360, 872424174, 694334802, 998242489, 153829638, 261957956, 454542500, 316850589, 133337107, 514296367, 566734301, 310276074, 732946036, 109393293, 504517443, 915565144, 729463989, 362313073, 791790612, 756466459, 516395724, 548841960, 484787855, 994349084, 273038906, 994344029, 463272649, 152190637, 324301955, 557013589, 537671846, 888951343, 569588101, 822295623, 376548403, 459744175, 585521210, 954883760, 415081894, 826748512, 275511322, 490179019, 713930620, 746237, 125480658, 355914301, 627386086, 359614204, 187679463, 458727138, 509337130, 720419508, 58203052, 598479400, 241316185, 720647261, 382379848, 134706195, 976724859, 494054017, 165646682, 567960211, 517333590, 395550406, 701129212, 138553764, 683192621, 856132938, 353182813, 57828966, 181110510, 465980733, 533815878, 264810815, 331412050, 695365486, 947107563, 326771338, 596304680, 22158227, 6670759, 990264379, 967329095, 936842637, 955347795, 662122280, 12693830, 604017445, 270313430, 91974997, 247320526, 617666345, 720259304, 58451946, 29744343, 192137035, 738404027, 511916560, 528845611, 454311591, 83679200, 366570854, 348963616, 870996352, 868643132, 705136876, 528773588, 944317986, 941716288, 170235720, 526696882, 132634591, 972883494, 545874471, 897858649, 831653916, 63034044, 865383685, 542396385, 962428933, 568126518, 856890714, 797913437, 327657627, 364411612, 755505612, 50236349, 40016991, 69792312, 738409476, 550599219, 105554865, 670576834, 77455355, 539797974, 990877549, 699145389, 31870300, 206738055, 253079346, 749151778, 922455218, 620775454, 130485804, 211003054, 893890126, 317507371, 518662031, 92822295, 663843101, 331004880, 646317636, 781547271, 757749220, 997994399, 824097332, 835179408, 13738075, 821404475, 59953151, 928145401, 646760556, 310421871, 43800793, 836234925, 531517423, 198561868, 73958816, 814908803, 741333490, 643904472, 342283273, 98136919, 911393175, 621890864, 511103918, 642836605, 748456357, 674186792, 686286317, 754140421, 383712724, 452194725, 938128470, 765609892, 9607337, 991986013, 259317782, 567677073, 328711132, 945159156, 115963880, 910713214, 342533198, 312727257, 460310499, 319021190, 195211438, 838290641, 995675913, 478638520, 678344285, 819357656, 415631089, 177935645, 715668543, 366522241, 358259913, 488403757, 284976732, 551858262, 343882609, 277524925, 513650818, 670606644, 174359279, 15423420, 209074737, 350967879, 172323808, 915013738, 975761405, 641999276, 344094963, 717243355, 397347308, 495044478, 352282483, 632105594, 81811089, 417307237, 265640170, 468402651, 778665612, 723922796, 786983335, 176544514, 621681549, 242168688, 793254374, 360102198, 414752517, 705913477, 901100375, 56003452, 37112402, 938276104, 515527046, 253702484, 859350576, 841699507, 679132054, 26112171, 897358843, 264580886, 253271422, 514363696, 389670369, 918288823, 58352290, 98953823, 203088076, 194384723, 716158423, 587504682, 320442818, 235576884, 315589357, 462633427, 432690509, 389525182, 910073710, 181551227, 961197495, 327375353, 945812093, 376634970, 865788441, 414864486, 963789136, 477369402, 184599622, 818835974, 467106331, 548651336, 765745264, 802851563, 792792510, 145956838, 684802090, 175885440, 48280565, 946953465, 177462135, 473299857, 669950820, 671489323, 54690604, 639154441, 619592864, 418238618, 716348553, 537845770, 424111546, 208853211, 825341873, 981584837, 884568145, 939064630, 312359819, 628189716, 980047108, 14986749, 570387115, 126856329, 667479246, 334356844, 999055161, 631580953, 526174432, 783242006, 979554426, 639895372, 296437341, 350160235, 50513678, 238876291, 931829502, 841688776, 405893732, 534237697, 396166044, 296984326, 952220262, 831646295, 414542155, 950434743, 530911894, 167290509, 233185898, 587677945, 73480356, 188731292, 737356128, 672516091, 964334774, 330003006, 66652634, 409632877, 637355033, 711157134, 216188909, 120949580, 99364819, 796376480, 127525604, 835306969, 782466538, 106381940, 767348642, 791100091, 140117976, 900004355, 928311389, 37896739, 824471064, 698658816, 75199025, 453832080, 964065320, 479441732, 48498386, 359537374, 556282640, 982926515, 152213167, 448569151, 34690048, 198255908, 606846508, 678582925, 720471076, 299754597, 920486028, 598023207, 906262473, 995533234, 510307266, 46475440, 28130763, 771228584, 826416278, 178212109, 928844055, 412294773, 546296101, 903272750, 463828510, 638793132, 271705431, 856304699, 102943141, 771301637, 886650807, 206898336, 282971329, 628560570, 216670945, 295555075, 751025620, 281973141, 625925863, 993680445, 763652032, 173031885, 581132074, 940958641, 365025678, 441970972, 66324262, 637762286, 398055552, 874160490, 216625476, 256441388, 849959895, 833494030, 217331780, 134901704, 907796108, 451872200, 589770021, 613447149, 900565375, 194883287, 341561845, 741538323, 202668516, 463251182, 545063407, 222918866, 317646046, 301717703, 576375614, 125144275, 204673009, 138500570, 465298058, 640779906, 637634004, 838794711, 615233021, 808921497, 72483026, 594072831, 513053724, 290130930, 670700014, 23522210, 984085690, 926940319, 227192753, 228353138, 56337011, 56130582, 767521208, 782717244, 300421657, 261685452, 115917502, 358950163, 172960688, 454893754, 429822436, 922614676, 326638566, 465280430, 587768084, 434296543, 779676699, 837356517, 637452633, 364462788, 838852413, 274874084, 670467839, 188786469, 602910269, 613534599, 539242350, 922434937, 825000668, 735778057, 480522814, 335710264, 577148841, 831093955, 647043905, 904410894, 404529907, 796907053, 424169401, 665087527, 401970565, 343938374, 378979166, 54674949, 390321442, 724951541, 756953391, 396398586, 701157989, 985834462, 906946132, 964401681, 894842130, 339321777, 919606116, 522192152, 972991656, 422386471, 200312331, 150905159, 766012621, 871065101, 72971619, 965969456, 829709813, 275019204, 289360907, 25430325, 41777150, 917816034, 916161228, 919043088, 559518624, 328444646, 302563185, 641628438, 186445076, 413663177, 959285055, 702307844, 27188490, 84628711, 275388490, 208612511, 880542666, 524337071, 803227066, 302186441, 3660638, 811639965, 686853810, 700296120, 22280092, 151041591, 258502789, 594767031, 399443376, 505987089, 792721615, 843728448, 426242825, 655605834, 827903434, 44340485, 196726400, 714808826, 990125736, 99866432, 264061257, 280881241, 227188682, 248562956, 984384437, 446242873, 687769035, 137956344, 454343231, 6120987, 96212152, 489823679, 520390155, 18258860, 386162393, 891731336, 601317206, 217664175, 584771173, 865039260, 523128650, 890384891, 626603006, 713050153, 19251700, 64360651, 739027732, 877106206, 433990206, 493855428, 281468583, 238090089, 260463297, 971410501, 948963573, 408414405, 777147169, 46181592, 680900763, 979645559, 405368904, 886874668, 711988553, 95086840, 376466356, 193693888, 307365775, 584122559, 300118876, 732987512, 726285547, 804008572, 166229281, 27902531, 576033161, 866725504, 817978616, 672959185, 434730844, 455524665, 404253779, 246680481, 997693045, 37745303, 7148668, 602019710, 13323541, 6024350, 528429358, 85528071, 945453745, 451614657, 750475690, 382128810, 403490826, 980002248, 570744830, 852022493, 894158274, 357669867, 836833724, 986707506, 578606177, 138309459, 66782715, 311024283, 750267030, 504603850, 696647334, 27249722, 30335445, 41206962, 349552485, 219904247, 290080942, 94646194, 219724512, 616850423, 177267021, 296273208, 511393870, 649674544, 254920253, 266848564, 844074547, 512575590, 574145542, 872113266, 781685688, 377778098, 653053238, 478809208, 707304328, 283760308, 548728323, 968079197, 725214811, 949963310, 846026363, 643764104, 769701128, 356507109, 306091373, 869376349, 320712985, 96587637, 728684354, 114907248, 947621925, 14697176, 531487270, 973996084, 379343269, 828055784, 891246854, 811505585, 437538516, 726970776, 697685081, 209332693, 992343337, 272979526, 278765567, 532593636, 764355234, 366879499, 312231328, 131716007, 144267521, 202859153, 909717019, 353834977, 258308116, 241303056, 819662767, 752210436, 459054320, 892455249, 70024528, 250148725, 211895525, 640459125, 683605310, 579068604, 335894915, 173563906, 843683895, 771944464, 69336949, 204862446, 496074095, 900619526, 728801523, 649083124, 467788876, 902571532, 671856759, 22746435, 2910804, 312938647, 38087464, 442067973, 14627452, 184726907, 165030835, 788722590, 43855710, 438098924, 900797666, 865558259, 205197759, 464827865, 492615690, 242201014, 754820224, 152786404, 549865641, 272628090, 210344732, 778357193, 768904557, 142995041, 151868529, 532237874, 694952147, 420647955, 8252014, 572650083, 534962823, 374099287, 165444, 580762256, 487817228, 247947122, 362709000, 666966489, 362249916, 184354943, 479511704, 414232409, 244062394, 62887607, 510068523, 944076660, 515690931, 744997334, 110677166, 154202259, 158476924, 122841637, 901295026, 191118209, 394703231, 88021555, 472651142, 853824098, 175298765, 698935575, 896032410, 998820146, 173306968, 437165094, 129810951, 675549624, 140232996, 244832309, 742859321, 578335643, 263535593, 305415401, 624142032, 795974687, 626985383, 369535331, 744188253, 810336102, 121464410, 493962958, 226919066, 661005490, 530149081, 693172790, 396491549, 275755026, 575898842, 621279928, 731197091, 658680863, 139297313, 754115331, 450591742, 835619443, 848990996, 521540353, 388823597, 918844422, 630332597, 460064941, 339854293, 395446216, 675209013, 41590497, 109357749, 421322340, 614860159, 972203967, 836552165, 871975543, 609456402, 244564896, 295538500, 117587950, 790275322, 513361267, 921859192, 152454863, 311452655, 858593458, 771888592, 246847651, 662064136, 754536624, 134420069, 746205930, 794783849, 141207430, 784178627, 376008413, 832329732, 254856274, 414638178, 723313426, 529195959, 18131049, 345741658, 979876768, 92082284, 45937001, 506645362, 877191769, 758163954, 859948021, 287935729, 648699120, 153564485, 108809440, 200584769, 722614058, 863285980, 140933829, 514570541, 440764697, 189356167, 565630937, 39341162, 881121036, 279734517, 272384531, 587056411, 847861645, 686632725, 230039656, 702659945, 289381904, 441639069, 505139807, 469700263, 39794497, 387067905, 679684973, 884533453, 182320161, 328981443, 865915565, 902458239, 762558073, 552436945, 625018172, 264854118, 638119824, 719937093, 266315892, 198681644, 833010432, 935214774, 269876590, 508818284, 236258999, 92937247, 617349146, 697907363, 690604641, 537807880, 867960744, 748835641, 36043620, 373878250, 699245657, 816705302, 926492210, 623863704, 472074381, 863919542, 974805556, 214956214, 126308290, 210758258, 763731087, 835366751, 958822268, 841685668, 802839321, 557783657, 710430413, 550149667, 238948248, 291930890, 630285196, 37125254, 99584381, 681609345, 846589738, 201836612, 113894293, 149387279, 515882648, 435338732, 613782390, 274253163, 78944885, 89919922, 953082172, 481079125, 894640433, 750201354, 67636522, 270383746, 280649313, 158795738, 676523756, 201922843, 153142117, 355766465, 613161556, 292514893, 688494123, 416850486, 316198418, 497562440, 645698717, 980463437, 586786289, 757263526, 896081017, 362867946, 296859307, 219095767, 562253455, 779917856, 364100514, 74840243, 749860007, 960927933, 516802610, 137156839, 977394680, 659271176, 586441872, 976015837, 139740216, 300332373, 57150028, 578649844, 560065874, 413012005, 383019623, 29400863, 470013882, 594803700, 199921297, 975946562, 769863257, 701064564, 239918087, 841950084, 2056740, 526112721, 306125780, 332576229, 869770046, 439416532, 729237644, 218396882, 842500268, 574994705, 743566472, 738536268, 270001668, 550210669, 957248209, 915016822, 651603393, 885122696, 57057087, 673572564, 102674974, 420778800, 231169173, 774193205, 974247095, 930558752, 889172169, 320838060, 151392503, 744986238, 934853183, 946187782, 666472109, 401489899, 722654671, 843840969, 314976232, 412979731, 345252835, 354055802, 676066696, 558218880, 922816907, 415202529, 30057660, 174410475, 504533022, 84614776, 961212766, 870210934, 482943352, 60410624, 984539760, 913816967, 806243908, 971013171, 52874268, 579361629, 20794239, 154708630, 908163597, 791438294, 869538331, 731397432, 292085977, 564574300, 381246053, 655134432, 515493574, 587375105, 254511157, 558864511, 572090822, 553008523, 58625498, 771342885, 682243896, 250751274, 353346885, 870992267, 211713122, 135036828, 7198723, 425405052, 124000418, 141570161, 55734534, 392534543, 142394288, 739252727, 648838775, 587849427, 315582943, 630361331, 324286383, 491072892, 326932652, 261114120, 979680031, 540282376, 553946235, 652639058, 559527751, 674721326, 764635257, 340321658, 902611694, 402678577, 596024254, 815865170, 178113743, 739058213, 26961127, 811765397, 63961893, 871339207, 811841272, 308876067, 964559527, 727905765, 990494458, 549075687, 99547387, 137004483, 377685136, 810477288, 227072345, 33185697, 502168714, 722537360, 856761281, 890371489, 122415874, 83969872, 647922300, 743074934, 750792359, 42457769, 823785658, 432597977, 289472364, 878966233, 581246338, 83477091, 652637422, 321085086, 715722191, 327265003, 757551328, 113813862, 96400442, 203870650, 353654673, 251947408, 41785737, 793138390, 823173432, 677068000, 470772116, 934975374, 105007027, 231029631, 249400066, 646913906, 864213872, 124633308, 925113311, 638062259, 284946934, 292853942, 870422265, 195491143, 439477638, 102695621, 156074983, 902123308, 944031028, 598955773, 833140826, 539883641, 269056462, 485543099, 254376262, 15333653, 545923333, 852896476, 33174296, 426712250, 895290414, 555185358, 72857748, 260559405, 180740931, 297842857, 718935518, 836913796, 208296191, 704490442, 167606285, 58549068, 225959880, 22791859, 362651851, 831674651, 821917752, 240151325, 259128874, 210135094, 619256494, 988201139, 570538950, 113633989, 215692145, 293207825, 260249880, 998551392, 308592383, 217879347, 127782428, 643724061, 820009145, 726214358, 525145647, 740627634, 169981222, 492460320, 490320819, 787665351, 290708634, 977321072, 484166473, 596574556, 549556778, 130290628, 438120950, 939127532, 395913868, 623316105, 393685347, 433407311, 936052481, 885262104, 996964549, 465960310, 708579207, 37163633, 708943714, 884975533, 61591400, 325110605, 293012411, 898778608, 580226007, 339521371, 795876536, 62136645, 535548187, 318645080, 169369508, 241327805, 69523277, 429175196, 222547086, 709385096, 581445955, 397699882, 195533677, 842690042, 445504303, 439388107, 450778870, 68066479, 983912433, 958402853, 436333472, 991229135, 720614812, 929896011, 864867577, 59290352, 890754590, 934742489, 159785595, 819855428, 70680828, 38688753, 618240444, 729266083, 72388874, 919742755, 626896271, 19548264, 240782095, 148643758, 133469027, 770747237, 722587802, 6956529, 181375780, 316605305, 652339715, 693839861, 988786398, 255337187, 207179444, 809164942, 579413823, 334362959, 394157809, 916729555, 598799166, 889165911, 592169893, 925327251, 223283589, 101890220, 11075233, 154499898, 771328568, 992753824, 799575779, 428114705, 416970961, 200033441, 711219053, 960983674, 8544653, 817769963, 839034995, 844311189, 492142360, 947039749, 528825751, 558624801, 467618196, 952943774, 400358837, 655439133, 867503513, 3888453, 924196298, 413157768, 165489655, 191603616, 404881802, 653579467, 639291275, 560080363, 516683615, 106300221, 192633232, 119134770, 82934324, 67209156, 511565501, 165834502, 563458409, 717178241, 372115772, 744398683, 57515213, 858751757, 217516810, 21347330, 6915492, 776747959, 816406073, 712593952, 89047865, 189350371, 958947882, 521050690, 534145190, 109162789, 39633680, 404940060, 818760353, 150087177, 31776780, 425097585, 159564805, 974350432, 214506200, 15002731, 441680200, 50569300, 681513106, 544701725, 628021962, 422867980, 911696981, 66535431, 520397280, 490716201, 409363981, 666262609, 11220844, 732892698, 151724591, 711909609, 37430157, 916383761, 146111271, 999033220, 916153540, 337912659, 389907296, 306121157, 170723904, 407371377, 547405169, 372106523, 613284836, 214753713, 339804730, 745915146, 244402230, 352676566, 283366996, 500292232, 345008197, 270299203, 381314654, 320288771, 270504023, 535254023, 361476317, 412350260, 769012809, 192251999, 65488881, 692236445, 35721893, 749171197, 936182899, 885571794, 915366155, 162086291, 840311958, 271807529, 868235612, 499856344, 89725570, 446273365, 886273506, 386817283, 490254474, 644929811, 141326327, 105740722, 908566324, 908338528, 998246610, 971433214, 957446656, 275900530, 741101723, 326904352, 557345200, 662436100, 601738122, 887813006, 620980408, 247152637, 325561054, 749700514, 336905306, 614665297, 608528303, 486743974, 927873482, 101275894, 757544391, 697416417, 213454096, 777961355, 25147944, 576018173, 451647840, 138992300, 344726388, 678037965, 849886105, 912229651, 941827988, 520522324, 576358784, 489110742, 670634017, 112013576, 594355036, 695317252, 717429928, 559699696, 262534870, 546003297, 354784424, 451467123, 664433320, 414263303, 577292629, 129590358, 373840986, 644603209, 653700690, 385439848, 828248287, 687005520, 992310745, 589790308, 599072506, 864595731, 384291825, 487642477, 259588167, 682697588, 105133793, 400556611, 916015767, 416523175, 746355812, 563224559, 764853892, 546528195, 185642722, 591895779, 327827738, 413560092, 563708026, 748727080, 313403567, 781761119, 843263459, 942331113, 993152583, 695212882, 378975291, 348598602, 884300044, 720935629, 846619359, 640309537, 680054409, 480966761, 150357982, 77250311, 577013955, 870877565, 477648563, 522676558, 553063972, 144841344, 567750479, 359031656, 531210601, 678467827, 219781898, 895929445, 277930127, 768683773, 853476641, 68163572, 458364515, 570658823, 284928809, 51410924, 199864303, 760139626, 696384139, 957141997, 535136732, 564708320, 971280347, 126372607, 803764971, 272932346, 524693371, 468189297, 205004396, 705820256, 822413156, 680786157, 277783412, 994184147, 534932853, 788470665, 736217728, 935061020, 240674799, 281745163, 262133228, 527687446, 720218823, 611227220, 161553346, 88263261, 504534450, 759722238, 573040244, 293568726, 365897340, 30028305, 676218476, 209360763, 977886773, 519278240, 953570687, 12531504, 272200521, 167924803, 550271946, 443228927, 771542415, 733096238, 626076896, 499878150, 59519102, 596775049, 61707471, 247753425, 331296672, 56550024, 87278855, 966899669, 33564902, 563038003, 365728616, 794980682, 747532191, 308399612, 361806686, 470772771, 661663749, 553200696, 292927487, 704651277, 70820831, 399721119, 762072558, 44306085, 961669221, 576846349, 92375324, 659671328, 126319980, 805981138, 275530251, 841673882, 58431893, 252996740, 203521051, 232101218, 937446163, 194349276, 807859220, 876482859, 445577411, 437633718, 161068819, 87184689, 514992216, 123042081, 725168316, 71646449, 334646665, 435507276, 567274533, 239724250, 179860651, 151503, 570758677, 232433162, 294404440, 403174746, 413863586, 424373189, 563420762, 919031755, 587264571, 830681986, 263939125, 371855807, 38684118, 64021454, 518056480, 248863651, 573818616, 550533289, 558318857, 400331911, 774908898, 126437618, 942378244, 574648114, 620634491, 663383379, 214377271, 236763306, 50925289, 838726397, 762846790, 841069509, 420083118, 457956948, 422595276, 766258064, 979632110, 943807664, 230224940, 990214497, 306406586, 255164482, 557223475, 543306586, 539852413, 928859583, 18492259, 472141761, 33579728, 408671261, 68540177, 18074118, 868439228, 646366305, 350066286, 957039972, 289965914, 746249309, 998161486, 445075057, 86055627, 496056497, 639353598, 617373181, 117753643, 968035693, 469924518, 578857837, 205418740, 83021724, 849278674, 581583839, 358189527, 454199278, 281524701, 294523744, 905170527, 203915181, 263884153, 403812220, 751302524, 18485203, 599036526, 892849375, 19655588, 371092017, 472372081, 315895230, 931864812, 692332100, 627138938, 168839818, 290185636, 61137265, 354401068, 970626599, 870260043, 319518638, 20628756, 976431159, 487148287, 181420728, 414235286, 251802610, 629042405, 878290883, 769798760, 175764079, 260707190, 712892490, 411764075, 30421444, 948930090, 398821775, 703906776, 441591462, 546409947, 435223911, 50279713, 91716790, 224893887, 906735442, 76418303, 392329676, 242953377, 430970158, 626469287, 778670280, 43828382, 690096936, 193463718, 484943545, 30248846, 752545756, 892142362, 194484035, 698124945, 5284337, 464112279, 924268999, 18048716, 522817733, 286078181, 571834703, 95556114, 317419566, 655517692, 938333995, 626160564, 511945301, 70583425, 987582109, 418789016, 814240674, 93546647, 350620366, 47040022, 94918848, 545501224, 159315431, 315900086, 893200400, 161936330, 796058460, 34727393, 275513869, 410918333, 183570136, 298016509, 435423004, 501986268, 571491490, 538999173, 109981426, 344666036, 427692046, 39540521, 434624614, 679425497, 437943834, 29570648, 259856034, 480375093, 525008519, 832893594, 215997382, 858016227, 618186107, 513671994, 366042139, 830020826, 97938740, 133257568, 739501265, 697530164, 473874339, 908280513, 6355405, 587610178, 623247587, 220552827, 108934659, 695189137, 110830846, 563720750, 418155929, 579046311, 698005815, 693031154, 657969673, 921748102, 277998204, 847868901, 580493912, 268300384, 300220651, 790634454, 451105018, 97408023, 839212957, 878255291, 357922489, 925822010, 992400, 183589034, 67307234, 532091568, 495287462, 360572421, 107577422, 572663310, 89651493, 705155271, 647247625, 342020044, 209498386, 117007974, 347976255, 436819409, 534134932, 645993182, 212816827, 872114535, 260069933, 90827359, 624069389, 625221912, 848551496, 286184383, 937989000, 458986672, 741846177, 572477287, 589128225, 27244714, 288468004, 393650848, 976452296, 77327723, 915365661, 281217977, 65414742, 57330196, 369695238, 584786818, 93998080, 455937088, 648233078, 734536313, 66772268, 977928786, 559837882, 983771728, 841447231, 99838963, 137898076, 61258889, 782471175, 638444387, 66178837, 611993189, 767944823, 696400221, 480042636, 864603583, 984158792, 136473356, 691157625, 457171234, 191296432, 713714225, 944199630, 322162662, 2470038, 13581986, 326412724, 167855811, 263760877, 110502438, 264598380, 236446604, 414259108, 972095032, 623327585, 590180007, 559102133, 585201429, 536036601, 810943066, 993927040, 60081089, 644519555, 744990242, 652819019, 700501173, 449250777, 497021266, 988189779, 277995672, 911587854, 134336067, 282405555, 303808371, 139899060, 655323455, 423629417, 547175786, 937069961, 388903331, 762843755, 232669174, 207091870, 697710711, 229225790, 387892295, 200284107, 448872659, 866470094, 765095609, 398824726, 975543170, 577025609, 803682177, 408383151, 835767654, 486450345, 461760774, 987747225, 564342940, 416324361, 869581201, 744090442, 195585896, 201855989, 572496991, 942006569, 459815135, 318683691, 37605683, 950339233, 808632975, 469435785, 989527733, 667502424, 121696212, 805494968, 318618382, 295804413, 242250158, 952713097, 978726076, 704459674, 111341541, 96026793, 579978372, 125232039, 871992809, 397610646, 699255457, 652311042, 74364815, 957569816, 737185336, 212035978, 2793173, 10234925, 218070059, 77405261, 108023031, 196108113, 771333679, 888623204, 63887180, 507105057, 56027229, 304943695, 786538821, 346654670, 284575079, 444414364, 396426524, 248700167, 412318046, 507301183, 913210382, 79767343, 782344712, 314584522, 671698722, 720567670, 63906529, 331763382, 580260237, 210548344, 523846549, 163007036, 573288939, 123593559, 718434732, 163497310, 848922928, 549888876, 657484397, 982397651, 412145858, 357059393, 267826871, 630919619, 242810244, 969288946, 319919454, 153279185, 734101094, 522111155, 52372199, 661742028, 345415481, 115696496, 756018867, 472423458, 355202914, 498621837, 865207885, 353056929, 513517750, 760900240, 271040046, 583874354, 469430770, 379094773, 349085827, 149886127, 73263224, 801042887, 971353727, 902446187, 857784671, 759469328, 787727067, 215050418, 145027869, 582032450, 488060221, 745110850, 770587948, 548210474, 285868799, 328517682, 681207984, 480131136, 508221606, 696772319, 121690470, 446335507, 455281692, 442699830, 393689076, 639532024, 418873558, 487477457, 587330323, 496239310, 832918374, 26784889, 692815943, 322838457, 68406286, 851585179, 811860890, 217464418, 47926309, 583334012, 981849787, 424081278, 846226402, 834734133, 16978019, 818288449, 813428858, 529242657, 128001291, 589781950, 672382319, 888452893, 724677030, 758668450, 777759011, 141350475, 814408429, 199416883, 330190215, 343185508, 529467502, 450220127, 497585145, 269491816, 357774572, 440790074, 548681066, 183048844, 371893011, 339147499, 259897649, 258978969, 275916932, 395498551, 712934069, 636328846, 715755978, 291895457, 667663134, 454421516, 284660379, 986369695, 365130221, 360090809, 420767572, 674657985, 410263344, 263146067, 971630833, 659492936, 831254124, 275273022, 568163145, 982385638, 458997148, 652705520, 482292772, 615572939, 369949257, 463000762, 697890193, 38223380, 470187425, 994048952, 376533151, 480752429, 896066220, 58264501, 219009110, 87586175, 374037153, 651499062, 238004558, 730448938, 382796974, 819459500, 528387157, 904142186, 946674411, 423198855, 303941970, 95368602, 585078108, 520899474, 424672930, 365086778, 450938816, 882444419, 342205986, 166013457, 948304909, 175794620, 511841464, 158663029, 271585611, 903706479, 273133352, 844580937, 106549204, 722709157, 947031292, 158146366, 575477879, 406848999, 884939718, 507474455, 303943135, 246568993, 538931088, 72155800, 339623110, 319212676, 110648110, 379161759, 358267932, 958307362, 208347124, 232028392, 575001302, 723682585, 844897502, 449327140, 125340679, 2677847, 732449516, 536873838, 560050164, 719012020, 117066196, 159364132, 221088992, 762700494, 937025242, 728356399, 938024993, 881173365, 79132140, 358395201, 941883706, 182289434, 118776158, 396900808, 562518465, 506572799, 441692968, 525636278, 823715019, 84608973, 278974721, 947170410, 674387666, 467416630, 702822863, 261709382, 553473949, 67094895, 143932339, 398914922, 798086456, 946025060, 537876502, 951862026, 353709769, 687535877, 636570715, 815919554, 954792220, 866583653, 218319573, 766746388, 675337075, 59856501, 686127337, 284506829, 920616014, 583100752, 340348809, 841300682, 339312201, 127034180, 84566628, 717702551, 511640395, 930269892, 100702891, 529125247, 21914649, 312412400, 928086577, 410019209, 92818825, 549929494, 981444929, 25900458, 716198526, 295153565, 615095929, 730361626, 836795933, 999545402, 851013151, 591392566, 956602277, 625175700, 441958224, 649324586, 925649371, 197424524, 587705118, 208501610, 387209147, 489878338, 18945482, 381867631, 525719109, 591263005, 778076016, 33535872, 791210570, 933105466, 97089417, 928856265, 346421912, 491097472, 109204323, 798599800, 732591864, 852265908, 351294478, 432217407, 630692369, 5011476, 409276478, 921752962, 616089812, 165350285, 315932043, 824417652, 919799186, 323123050, 472453189, 204799721, 407436764, 302316048, 848764993, 363963145, 433460168, 434590594, 236498487, 171804394, 782220782, 447540696, 593949628, 842943995, 188193299, 881910628, 96403731, 857697932, 999898392, 597014922, 118539428, 835675037, 768537707, 661485358, 895838105, 69666030, 266644198, 484582237, 360666734, 995273906, 343504041, 179995299, 12413511, 890092222, 245239949, 95218218, 213157463, 966892720, 366018052, 911053937, 755351139, 712997567, 210109939, 724320166, 694737449, 258807253, 786641617, 66183870, 820708459, 505899913, 325916036, 588597585, 565158937, 120473543, 307953110, 34960871, 444689233, 307158408, 488980048, 510068046, 335016346, 481661027, 759718310, 557273190, 437252777, 93072630, 65396633, 2168909, 14984443, 30751135, 126873377, 209876525, 522250578, 439843228, 759991122, 314039797, 490374192, 55727678, 492203637, 366111372, 438386789, 963332486, 694429120, 563841227, 717088283, 572085090, 887707528, 169585901, 405721606, 869546682, 605108745, 355129221, 198265080, 128098387, 138533744, 521109220, 640787981, 645344901, 91838048, 16145318, 730532757, 371755034, 560522754, 925264220, 230870361, 868421141, 779818311, 843813731, 494634056, 780759664, 474669722, 915867174, 335682517, 991963247, 524858308, 561800985, 302554884, 920424520, 257662327, 682566932, 936374822, 266471240, 310380347, 170498703, 183692950, 879678860, 117715818, 429644780, 8421027, 808260029, 912054695, 577106254, 265154265, 483792650, 324293057, 422124216, 759403666, 524146374, 930744328, 597123765, 61532749, 669832498, 648974750, 127831384, 365747858, 95886359, 989986237, 626322693, 520679505, 289321280, 256316534, 750284110, 306897398, 209036119, 487741136, 712325978, 201582003, 689574486, 275607296, 84853598, 496834237, 909623884, 830153048, 994799468, 232851956, 964839038, 302248526, 857206791, 461416520, 966257722, 338980713, 792000569, 939055669, 599204077, 751007869, 518026988, 313738798, 280876621, 694638724, 774501906, 411007642, 717070929, 809992569, 424058777, 654108211, 949497042, 856058012, 515088415, 150033402, 184190208, 604045479, 79432257, 755844963, 564988677, 902641037, 250113289, 454223112, 43614, 642456501, 368337520, 781161371, 417174977, 408175278, 810892531, 816744006, 680813996, 699982517, 967194655, 330316636, 22151650, 402825535, 512598379, 376093944, 72130687, 476417016, 971294027, 287561268, 342924520, 801267926, 612670901, 131686014, 82817689, 530671356, 17996151, 681501249, 278540267, 834188144, 753833403, 623264375, 691656979, 17171308, 530223678, 473646122, 401556701, 534632722, 655784896, 63729468, 501302301, 865179996, 204760471, 477759126, 357007774, 465463607, 379109392, 160119059, 968277734, 328786761, 99376881, 841704279, 557973981, 483748540, 13287179, 55555250, 625402004, 149937363, 334866841, 198834809, 33852911, 215845275, 997145595, 669091445, 331838443, 937133476, 95481512, 899004604, 509718973, 454788132, 329552724, 662510361, 729254642, 867905749, 544701067, 463125631, 5775454, 417616342, 838597086, 670091629, 328375564, 875517021, 141997903, 423232496, 935050938, 214342220, 934873548, 584306877, 952273339, 225509920, 530638965, 785865628, 453471363, 644944805, 385372788, 367021902, 356704394, 434226196, 366464984, 361147813, 266772563, 775620960, 405032188, 374036509, 950182870, 150619861, 568103889, 398386436, 833139533, 309799367, 199389843, 332788285, 845520973, 948221092, 559397304, 240452089, 193507897, 780366737, 378822265, 958423909, 766930706, 502345468, 111525421, 729609648, 864069779, 133365739, 636538493, 956792313, 377028856, 887929496, 139905059, 885947813, 663017618, 682620004, 961072651, 425218808, 111670217, 587484806, 491936132, 810713262, 66870563, 512750352, 119126864, 942670458, 967781113, 299741075, 957151730, 865503763, 625332449, 714780286, 16332042, 839196601, 417438781, 942595743, 308696363, 111454419, 795996272, 34526303, 793975111, 6282553, 408867075, 436264893, 461654711, 618962101, 530022632, 829647388, 156872641, 187710743, 970417786, 71976312, 610361693, 949479604, 246548379, 60479703, 42451571, 656802860, 772289577, 14518986, 195282734, 370587337, 133553451, 64416399, 442890948, 485741959, 699998431, 241657904, 58633389, 920623010, 289516918, 623982319, 628132245, 324686655, 207837984, 142786353, 492564506, 433210785, 831953417, 685746843, 842556764, 206951696, 206731260, 249203418, 668174154, 543635027, 502227111, 545762778, 620695418, 952518958, 313357760, 597833754, 850279114, 930604267, 138743961, 425430882, 132596380, 30383291, 374084580, 410697054, 702052459, 638782283, 363685741, 913792401, 123347115, 461827128, 638599332, 215244093, 321021363, 476016363, 1461675, 45979772, 937705394, 639380550, 172207016, 405063498, 414093361, 449212281, 697463256, 446953401, 397567661, 399641177, 795707329, 552662821, 45437688, 888941280, 636399790, 437665209, 386894403, 609108199, 496016833, 287646015, 571821346, 853173417, 334521050, 550092012, 180411843, 854161700, 637774807, 172130141, 473306557, 681612487, 352832744, 122586686, 637694400, 692879737, 591291682, 981786908, 978517379, 978259274, 153218609, 108983698, 344589107, 431225067, 283773337, 16874998, 789471476, 681745664, 723252806, 486355568, 135080642, 725199571, 133989025, 553655325, 789001098, 417229735, 698712627, 465916496, 128890711, 932365923, 442489840, 20348537, 379270386, 721960128, 654718826, 880264207, 824562947, 57870886, 183643859, 55544912, 871806385, 307234173, 674377438, 616547204, 29048767, 622707378, 638501651, 42575826, 794491021, 254065296, 634986747, 839890980, 153718278, 81502635, 262782705, 308343245, 150454410, 489692326, 846350010, 490531363, 610165739, 185061216, 909633745, 732526928, 372873343, 62061389, 936605100, 868811995, 376397259, 21427269, 61081961, 590623202, 83386566, 770277784, 530604088, 705449490, 603515148, 240188204, 79556189, 73213164, 318974944, 501978821, 842647372, 630258014, 797137689, 242297588, 831306680, 337483316, 984607008, 83592413, 957993560, 319370199, 969893588, 801948141, 413072584, 860681067, 482809105, 116048314, 332080979, 786629740, 121772985, 297211291, 552511225, 687308825, 637586830, 393696551, 581992644, 854933264, 602100001, 275234771, 947943033, 403659762, 670060606, 413988580, 724443366, 535512391, 234695318, 294536528, 580114306, 473667100, 154686180, 194815987, 59119057, 590502875, 33435055, 784492567, 565680445, 48365162, 67648197, 538783754, 27807752, 523451656, 81936984, 716476866, 76564714, 76983929, 701628465, 797651206, 760977945, 110264943, 107205470, 806386059, 224017925, 524662792, 915142691, 82382194, 74191064, 624795494, 465732245, 23317184, 995398586, 5792809, 832318002, 8233686, 343410017, 683201362, 708229493, 46592239, 889600085, 391346744, 693712764, 985578382, 421460321, 799018305, 899495022, 169384173, 711315909, 932606066, 407112087, 107212997, 127173274, 549331434, 165822476, 412842413, 709751620, 129586311, 103648263, 528382316, 401740975, 889725580, 759519193, 259012337, 234722774, 132693213, 840487560, 771044427, 408869996, 346410317, 639252735, 526956413, 175324229, 144301283, 124795321, 123676424, 942884026, 850147778, 657792443, 703425942, 388641, 121438034, 161285757, 505869942, 582008538, 762252199, 68467190, 761693379, 540902078, 486788932, 396987106, 79480612, 924049794, 55517531, 932001218, 118323420, 81699984, 562273810, 225841391, 215324278, 450212108, 579759726, 425763496, 867973372, 935809193, 700281229, 519562061, 790131948, 545400591, 760138174, 534717199, 715562907, 299164471, 54709790, 262449949, 941957997, 193636201, 938484018, 556684314, 790642728, 830955502, 782613257, 835499476, 350615220, 442547349, 878006573, 519599805, 602795433, 614442068, 760561439, 565453429, 486318914, 518558747, 897194988, 691660475, 869738414, 459965580, 827276447, 153273058, 181643091, 114025849, 1596374, 568360265, 777838208, 248214415, 939142246, 572654076, 293714797, 127585250, 215102787, 753244412, 116111454, 866651814, 297331625, 45598963, 530605481, 601746773, 319119198, 961383471, 431373450, 599883305, 702058050, 754629590, 232351653, 89083252, 4574979, 304661738, 78974751, 347372914, 841813221, 25677573, 779670565, 664323172, 971423606, 512356403, 472045475, 904238933, 123209771, 104165480, 725285974, 789654972, 645203660, 556542973, 833307576, 171009585, 497911565, 990187581, 134569211, 78256141, 668549834, 616112711, 974264265, 770377850, 283930706, 463433618, 923306117, 145452656, 623405779, 345415410, 804373929, 761750569, 714922274, 202706760, 538576753, 194921375, 495708910, 770207467, 551934885, 971870355, 399191316, 873340881, 511993981, 952024808, 15967464, 991863829, 840984318, 340722335, 35068426, 665027986, 269576584, 421989073, 184789442, 490460084, 636718701, 734553327, 740300451, 553853712, 187881444, 293542311, 528727756, 433462447, 61708221, 154513484, 827155805, 24662583, 248824353, 608998986, 410428764, 533117898, 435377543, 705885726, 829633463, 530328957, 204163889, 295289789, 186615962, 664728932, 858453621, 13969806, 829531987, 870241367, 854031354, 147716673, 93578702, 806507977, 717387749, 891453664, 677772263, 616945855, 793614240, 422967955, 962773593, 417104144, 257595027, 443949157, 561511625, 697535945, 423220917, 788259437, 317140086, 640742596, 590472774, 897867833, 682229424, 466191145, 3286040, 322360756, 463155731, 340016784, 638440711, 914846263, 420071060, 560456275, 32699863, 445791861, 716569373, 844238808, 118404009, 274633291, 793470737, 875877453, 612831002, 478611077, 389404729, 984735129, 210044671, 677434432, 99212266, 555957124, 528654183, 946372062, 940568699, 519281209, 868818722, 61387056, 17179453, 580340148, 306219069, 875414750, 955694467, 495935794, 38727398, 506119234, 770184454, 65799012, 733658408, 491521380, 350513747, 942135894, 673462299, 133519114, 954360097, 159382527, 483507782, 232026997, 329447804, 539750538, 718822257, 930205765, 414553174, 348770025, 923940396, 910764897, 772069724, 312804504, 963270649, 393704375, 348722496, 843132185, 846578065, 238537683, 374867953, 781497167, 428140821, 924784363, 788810705, 699801749, 609208482, 284093996, 4841993, 202941407, 456683576, 347922901, 552394559, 44348543, 376038478, 434962180, 136766865, 961571482, 285039048, 776735211, 707825865, 985816210, 472392173, 228075409, 759065925, 372412296, 822877538, 723929673, 654629205, 595097851, 213998061, 950254485, 425270556, 928896428, 684833265, 222829854, 869698823, 258978845, 30359610, 380197016, 533078636, 551011009, 797944108, 490252043, 324941535, 99343242, 291253012, 958108281, 214470748, 999776105, 443717896, 972165388, 290684236, 685281391, 641344667, 672862760, 231413481, 244287049, 211039333, 821458999, 839048171, 379112572, 929163769, 17510751, 916627320, 33312156, 461537528, 379441438, 949035690, 31249030, 633409942, 594860507, 371089371, 242691666, 481651210, 524772094, 93040546, 227772914, 988718422, 838006517, 465077336, 568222577, 101273288, 385433529, 607047303, 732634826, 70054198, 498495849, 579073114, 72815786, 723859431, 314954920, 947694418, 377829628, 325596677, 897618957, 406212686, 976495119, 357751523, 849136431, 643586696, 903003536, 815051188, 12641752, 670853784, 775177740, 476881609, 958465789, 215316849, 274376079, 354055668, 588790232, 236267761, 877988149, 352588320, 226212203, 382128129, 569246807, 330814637, 153966813, 504036207, 445062820, 431074388, 658722163, 640153769, 203489672, 149975235, 997608347, 740535378, 835239994, 469505316, 698607500, 633449601, 351552265, 838793348, 455992601, 999578770, 173174167, 854569504, 87226380, 291693081, 912116389, 319858932, 74190199, 536724871, 938076228, 919005043, 417569782, 519587181, 668222107, 857958197, 725224235, 738017825, 821723288, 366792492, 510883716, 634435156, 759563938, 400585911, 97940889, 522928089, 191430059, 17230388, 537893800, 805024730, 669064498, 55267594, 893703880, 643761884, 970251683, 849330385, 308594921, 728157639, 381446512, 687812549, 383805660, 788042453, 229884002, 60798482, 733122943, 262519653, 616174204, 995217253, 141226324, 986127160, 284085874, 209313203, 219724967, 438750232, 295998030, 693303032, 934096628, 854194175, 764422687, 18643011, 442279491, 484225500, 790428137, 764602025, 327903317, 808009378, 560360004, 197408817, 26776564, 649269144, 505095170, 555886797, 974323566, 300334098, 901184289, 113438782, 418156785, 399172642, 497022088, 283066583, 99694225, 754493533, 4626074, 397334157, 268800401, 494661111, 225974292, 682167577, 888525629, 401494760, 665252168, 469677720, 830085621, 142771085, 466856913, 325449205, 69342485, 651545484, 150810890, 994639298, 440247596, 520889768, 932521486, 874116308, 650958254, 161649247, 620555027, 549149914, 234997699, 71705103, 739600504, 32530367, 95210306, 683452818, 784379630, 639596358, 789792380, 466181360, 72828722, 899667307, 744863366, 994931162, 74493590, 270740105, 800354380, 77604074, 135386577, 560841760, 585631463, 695060118, 232548117, 791299059, 538151673, 734135121, 279209507, 668173333, 338792078, 968814800, 81626120, 512042870, 651222164, 915125029, 735213630, 167477314, 406726827, 752478031, 895178620, 9997475, 629321996, 833524832, 489862241, 841860187, 920706301, 490013097, 14122966, 284077980, 508796954, 410881166, 729462168, 607862465, 821410572, 211771836, 861486524, 632549589, 421276415, 786993019, 575964929, 597033708, 177969270, 218707697, 781769451, 463121241, 90535066, 927344202, 770028211, 996628732, 383143781, 858205208, 29420819, 617365603, 145136155, 198875222, 615580822, 898740800, 772663707, 472234099, 165151568, 443368163, 211968138, 451245898, 428075435, 165679922, 113344164, 3769855, 256653320, 133413631, 727469610, 486098748, 929334483, 639555445, 404596006, 548065924, 370813574, 341669324, 602949654, 380358515, 96822051, 1118486, 955916092, 395056355, 884860820, 6242584, 442811196, 812572264, 251842308, 691734781, 32638324, 681779439, 184437081, 987773983, 355271956, 876520174, 406595733, 701059084, 489274932, 157064002, 850937718, 507074627, 121735021, 382612933, 791755985, 328727520, 896650475, 588363506, 646619326, 699859986, 295954559, 834581413, 243407255, 665206123, 897120812, 957834345, 305037159, 307666379, 605404139, 274462227, 948929917, 136731124, 472543423, 174276837, 641696790, 801595518, 104336176, 253646590, 697319475, 648842081, 559902726, 604182215, 340515188, 35574323, 866080631, 949314673, 404499509, 153299264, 602402663, 373360244, 949905973, 908560456, 257336820, 651656023, 924285265, 222579498, 602856062, 392357233, 820715156, 679150839, 944909752, 201402736, 202384080, 398979465, 119666651, 755090724, 655001157, 473768283, 454874096, 960019491, 969051576, 701814879, 27311654, 520726070, 616493762, 198470870, 271619428, 519113916, 567373459, 140374598, 443606072, 126088796, 313639336, 154154570, 535744725, 300206938, 688037478, 840720462, 856364404, 26844060, 231464148, 555392595, 359412081, 263165960, 70702783, 586942872, 206829641, 63642528, 50443961, 174809771, 921917196, 177047358, 409891197, 744846198, 8345575, 841438745, 809130017, 180412223, 274114380, 427735312, 736725133, 112327009, 511326341, 183181306, 770868250, 468515026, 707490145, 781410399, 400277117, 680160404, 442077734, 514067810, 445439973, 225787582, 343739749, 387253165, 266138195, 320647158, 158291461, 669299015, 995450661, 969909759, 146401451, 77668703, 666235744, 329678966, 51982323, 226685844, 676867557, 280273550, 208041703, 709663427, 287045650, 425345898, 1419665, 486528884, 745518479, 497879972, 377137535, 503374775, 255720956, 227903624, 41969282, 286855215, 511030851, 606418448, 208380838, 897597973, 989983803, 661769362, 483923248, 417626442, 284621584, 751926330, 296090221, 646720605, 444924874, 882902277, 427465935, 225319662, 398086012, 323837887, 915753333, 945679534, 679651724, 60322251, 150302013, 67845969, 72569382, 243891548, 879874884, 138719871, 936435206, 890886609, 852825054, 708069430, 550940926, 932052985, 855032299, 368591102, 640019862, 390698750, 193507395, 196834733, 622074266, 126987687, 411409845, 604743306, 365411382, 460884794, 258449759, 242264399, 237604742, 874070633, 322017826, 192571166, 510958501, 778629522, 590984385, 382593067, 210497301, 263658383, 760181537, 993102983, 951158322, 605952329, 491253944, 911150791, 250995514, 410586035, 984374254, 751149040, 148485143, 525178075, 484690925, 541227806, 808248307, 149813515, 114009163, 893595037, 427141771, 219671241, 998828348, 490171770, 865853087, 891377259, 102490793, 75385506, 231389788, 181241267, 229091804, 121846366, 456833835, 836131835, 577639435, 293216123, 330098476, 820380636, 561293306, 289059809, 462548246, 202234955, 353976428, 96170721, 232461330, 267076346, 373029426, 917661456, 333864179, 656997944, 530215512, 238489139, 341518824, 548513016, 222542320, 478902131, 826357635, 911434805, 142031190, 458879636, 146481294, 663899257, 902994568, 173084382, 145551260, 555907732, 473868283, 900963359, 252924287, 980943230, 262913852, 609767902, 507956769, 263288185, 725993154, 37224988, 331248183, 444569867, 686316938, 503317446, 110753999, 319594477, 26467614, 106202392, 264577672, 314043839, 271461966, 433787989, 825293630, 754367303, 583320638, 460296893, 589812197, 429561124, 518683091, 938742938, 119412706, 374165363, 938284209, 305949983, 804270010, 574394643, 991744311, 118443661, 822879414, 328227190, 910036176, 17933687, 703760776, 561289408, 177049757, 684934702, 914704245, 207001642, 866918731, 823178253, 300884385, 562530673, 894888474, 910244844, 801151327, 647319703, 379453284, 123445171, 176281675, 494467837, 942048165, 250332363, 459953736, 440588952, 896721180, 175107811, 54092084, 429556569, 5843311, 606754169, 100100912, 749292426, 395672109, 256915470, 675549833, 278599767, 827463273, 205778696, 370152831, 954397288, 2164284, 567110357, 473106855, 771994664, 714608428, 895042302, 557506954, 932448618, 721137930, 234869816, 501862426, 735547089, 805023335, 747757381, 689361061, 533458854, 237647205, 821818219, 41426574, 328475030, 99495784, 836698770, 835286273, 410322052, 984523554, 58814160, 80738940, 112189037, 828986607, 945517327, 819555420, 683393828, 294570418, 735516857, 914859422, 339363622, 56567986, 730086057, 406731681, 871977797, 625550332, 778201973, 656013319, 127922228, 769992406, 685136657, 266053156, 649667035, 565278183, 60696089, 30818042, 679111362, 740685406, 479067710, 689859720, 988885107, 722100653, 755827653, 271051363, 252810337, 844530659, 589680383, 690086097, 565648112, 543705890, 167608035, 171833127, 131978869, 284792339, 597313695, 996716791, 318240269, 998940055, 977339257, 306408485, 608957671, 127164840, 796665191, 245245236, 498784847, 193224771, 475805254, 339071655, 627409825, 390653256, 802894785, 789937067, 435010543, 217239892, 544297688, 933216027, 183063337, 623802049, 466710905, 90157274, 44544327, 438484299, 130389846, 78482038, 635189788, 491464602, 271858489, 316674054, 80818423, 827382936, 300282340, 937879262, 973575199, 963836998, 577340561, 870558739, 35043234, 705638627, 788801211, 416353104, 746577685, 122470636, 161039091, 149250509, 795299898, 854803459, 580148041, 218832186, 758111499, 866919925, 560304820, 99138667, 304103801, 846468106, 291081113, 578967674, 957899648, 536051432, 837572095, 994298351, 248835685, 826798370, 529669552, 610699440, 678600867, 720621194, 202533857, 797090424, 819840461, 70430494, 696059918, 684876147, 982207358, 750507000, 185901059, 95651986, 649978527, 816638198, 160443269, 827910783, 778120241, 745249043, 591985312, 109083386, 477751891, 984513252, 709976694, 297773412, 851524947, 681053614, 780899882, 445100108, 501998733, 320622053, 351416832, 885205159, 73224995, 335461910, 565216084, 861169419, 207633613, 403287215, 74111710, 286342053, 292022703, 513527225, 187584824, 133691723, 499210600, 213443258, 287471122, 618393242, 738878188, 68938031, 383425363, 613406592, 372008077, 742253956, 775739693, 26905992, 630436120, 491637199, 79810719, 826872396, 765664145, 756001255, 810916261, 563901103, 702313094, 51720547, 36752729, 631293777, 868634755, 606974473, 921875943, 826921024, 413858819, 934407288, 767664397, 667206188, 892320422, 440717390, 22454585, 370729048, 507540039, 648928118, 953208674, 153422897, 558453816, 504370340, 339062949, 775367377, 886597678, 229207474, 359999767, 212504605, 329514343, 521070166, 584691212, 522097630, 730005150, 573159893, 580693080, 170111128, 983988501, 753808708, 530703933, 739300643, 511253787, 337731073, 998135795, 268398175, 291119040, 44379789, 53534450, 370608071, 687487187, 463754231, 756637967, 54947543, 484519653, 664651257, 554403348, 962917791, 132434921, 996938050, 856629197, 62188486, 430657152, 960621340, 546370441, 423576078, 90983461, 913272721, 260585594, 949017436, 81799541, 98457753, 382697235, 516091999, 837529383, 354168323, 410562672, 365610323, 466594698, 60086798, 425769179, 118004119, 117673719, 800871825, 854056186, 189130560, 267959020, 203337893, 585359150, 528188684, 979702187, 872766516, 335187621, 572539606, 76300765, 758091312, 826040959, 415544877, 920007767, 751131862, 413309020, 902212650, 39852873, 421505984, 211105902, 482979776, 99264944, 237961538, 454133948, 448477408, 261957290, 704682300, 502543717, 722587503, 741236490, 889941655, 748929382, 355129153, 993908356, 386253100, 376162772, 155936180, 964753134, 55319350, 143651904, 959500652, 307388582, 960796260, 606856621, 318252918, 994909220, 105127913, 318127686, 799498817, 269695535, 177855059, 374334745, 101091784, 179714580, 534119571, 2662042, 505599163, 303240296, 748255283, 485523776, 97067949, 517300224, 225825648, 137197996, 58932629, 491265072, 411585349, 243238379, 471830434, 403795694, 582371192, 210682627, 459978366, 730496243, 352447278, 311870834, 435709580, 356141122, 104290588, 152268445, 689192412, 540340939, 534626279, 562119192, 413011350, 460847845, 337407045, 703427412, 196425942, 498543882, 509698972, 351204807, 19254399, 950074222, 60481259, 41783015, 78845838, 256144984, 179427146, 236688369, 354860826, 670209283, 117602006, 662134056, 69062043, 740870758, 709944041, 807363351, 432499275, 388460379, 986157557, 850476402, 888686808, 248355584, 829545927, 730601385, 452586541, 952048301, 331345140, 690333466, 705933849, 160462644, 912052275, 441326150, 957628992, 380564357, 177907216, 518045293, 501584658, 769326267, 2354527, 74765302, 891332527, 681320715, 296975873, 110672121, 61462801, 876871907, 685445422, 4464673, 29779098, 709580428, 46414917, 310656980, 815461442, 768858403, 54152391, 489389243, 890073646, 455533508, 696230023, 156008759, 492306516, 496724495, 320187812, 87045073, 738092783, 502597072, 513166093, 42432789, 111620166, 342011923, 692512176, 207560766, 771364723, 956617771, 567874447, 604943608, 868326724, 725320718, 412038251, 957229689, 20059922, 156771823, 531615597, 377845091, 153296965, 884643913, 462562114, 727234276, 968921668, 869764333, 724395186, 312868471, 712540966, 174103664, 189317693, 897242971, 515410779, 254781283, 450798394, 873892950, 62033777, 847758349, 352819556, 817200848, 428736930, 764350038, 780249694, 567118560, 916654001, 403365416, 996621133, 390785595, 206792668, 804141086, 100851526, 914001120, 557464861, 455942232, 148082850, 320184729, 836790673, 296551729, 16576373, 23496179, 54502873, 439838260, 294925297, 79819362, 622115519, 60978142, 493042697, 143112142, 13543209, 650593766, 786514394, 70620262, 829768261, 283563898, 304002706, 327040436, 112976741, 191284388, 594973539, 34259798, 531628570, 812422387, 293752457, 261783231, 482201721, 304258099, 204108154, 913599340, 771564423, 614810393, 551875327, 552856056, 486549859, 352643674, 489382476, 222203947, 34676663, 353345602, 405567283, 37740605, 719960226, 731888158, 540640824, 616047759, 867338996, 66868419, 811895180, 528657494, 583178565, 954867971, 36912817, 303227950, 681030327, 858082812, 876423342, 472599820, 732273192, 202487463, 160761547, 143399114, 64440160, 938634614, 89743644, 11624246, 550801273, 715237723, 349025082, 312565365, 347772011, 343653802, 953487178, 146998113, 791889478, 422862016, 32852289, 236239741, 982936018, 928162002, 46696594, 966825204, 714176533, 483897977, 488149535, 275126528, 134086093, 310840895, 940476028, 503605009, 283398146, 285418422, 733538371, 848939887, 586540347, 566607436, 73169051, 596232300, 648502571, 504156304, 716327546, 365400430, 165267403, 270668493, 110688632, 746841988, 826770218, 584808155, 629840771, 959857660, 571115888, 419783503, 264771973, 559932797, 713272185, 327059055, 491869853, 126870212, 943624357, 341523760, 881776263, 197709695, 563533211, 161991913, 596081138, 936847804, 880883051, 763894956, 649991543, 202432193, 981229383, 566540972, 697875864, 549769751, 584793347, 87872993, 437187257, 498951566, 780374348, 812494860, 198364843, 112236126, 4434574, 26308296, 284809245, 644265592, 716574721, 469809694, 47212815, 930293702, 769816223, 851524070, 974557707, 417927067, 988014075, 548894841, 944934471, 534380646, 916201076, 507742046, 183344156, 555003962, 730731882, 338631254, 213456991, 835848787, 463135004, 163719207, 547583795, 172018018, 551463748, 798642454, 241294735, 912689910, 327531143, 874208931, 881209635, 927979016, 155973364, 382575366, 276507351, 717305005, 235255131, 417722772, 301679359, 238171167, 196467628, 991079336, 355352441, 870684474, 624157850, 58826251, 727523258, 571358482, 469433131, 381156092, 918402430, 579019735, 123760131, 749017982, 7902194, 72020105, 17229512, 848595009, 296674496, 789046217, 926955835, 273930538, 18623572, 716460555, 132658981, 955901730, 28370841, 845380532, 517777163, 792371242, 680710926, 249267160, 364122774, 134338990, 740494115, 173915097, 659543286, 1485915, 352617189, 849143308, 35220108, 358992585, 483078019, 750079469, 50382622, 552232343, 47514277, 744390590, 204165518, 273089341, 949572632, 537264966, 802513036, 992183283, 563255606, 234650509, 965216042, 469195486, 743664524, 297681891, 592837399, 381502985, 401408884, 573590229, 69807257, 789857387, 234632127, 892790860, 987228509, 562062125, 353072107, 303513245, 508343118, 861457663, 691259846, 408040444, 105499650, 975807021, 833229321, 826704432, 231459788, 110374165, 359794964, 795020559, 885788309, 944409392, 281026772, 717644537, 142959124, 47344550, 397053606, 143124640, 331699547, 947549452, 302837089, 42070615, 634262406, 264289754, 545486565, 711066942, 795044404, 322583336, 723693266, 717523301, 486716260, 262864483, 403046285, 252218198, 455423920, 70131662, 183838862, 151325702, 771592565, 511425883, 478537264, 836619313, 436473956, 514921220, 979889841, 213928783, 512405017, 638014610, 337357992, 303167201, 335471463, 234275375, 722551790, 97773847, 38002053, 263456329, 439480896, 402944023, 180297267, 134721440, 170909688, 508346464, 251469673, 145287981, 721450817, 838861921, 696240752, 326178725, 51109783, 447139878, 921621522, 628372391, 448278910, 38552630, 701141761, 970994769, 44155232, 96112281, 790563874, 260165122, 698261937, 362410678, 656409726, 978379578, 177760713, 367373710, 204255750, 59702440, 99688330, 438494480, 806598393, 190953048, 350801135, 42704133, 725137975, 32150981, 413273570, 25375826, 381388630, 80106413, 640908171, 689781470, 348988253, 745813771, 573398239, 67501696, 713778019, 995042047, 162470258, 54748706, 710379897, 507429422, 643332074, 969025571, 217696222, 27342122, 318211121, 915210972, 611154364, 643439001, 959481397, 433512782, 826934947, 161178457, 72551132, 753420119, 771258215, 850001796, 450179159, 607495265, 497969333, 418343914, 881995633, 11545807, 804327193, 387454741, 148522831, 271320338, 875179811, 875197437, 727507637, 522804663, 3446556, 514217354, 818476421, 359153621, 143607968, 211916325, 612499820, 85604557, 301288365, 801612197, 964974767, 342097550, 538901963, 440973359, 807146163, 80075582, 320052621, 979660077, 397206430, 62423570, 248533194, 927327549, 135964089, 317354882, 725939951, 449709189, 991849147, 302323154, 845445725, 877710623, 48745123, 281960231, 351901037, 394776954, 877097293, 652275962, 839063531, 378191472, 581997797, 282350815, 265370047, 905611198, 710594388, 158936117, 865801692, 866585384, 390245912, 787349240, 500075554, 453923759, 782912311, 371759605, 388331703, 814279542, 689597862, 611375634, 103378527, 714982719, 916251166, 299014930, 912761223, 946612162, 100484425, 299860204, 493794850, 27972709, 574551456, 135006052, 618085924, 889307304, 563797693, 897709078, 76787998, 267892918, 335610078, 181719055, 350076104, 805118734, 405784662, 575796573, 950324999, 498749742, 15908423, 678607014, 158693669, 387340010, 743336020, 205694108, 658260049, 240773263, 567519358, 733797760, 459076840, 108551197, 551842044, 821441194, 650986461, 450357785, 792989760, 32620599, 182038843, 670129088, 126427264, 418769502, 444468600, 43147711, 652638983, 610421507, 49792595, 875380084, 695801476, 726743202, 46818457, 853602206, 188362529, 464197583, 177407883, 893033934, 980403255, 759397935, 16588686, 796941254, 168145411, 552900316, 590180409, 389212311, 760147014, 914040915, 255640206, 964621421, 314041082, 301159850, 990913388, 823242406, 224150399, 511663028, 83794996, 725258912, 982255769, 387301512, 61044918, 604206715, 6560635, 159003373, 876065923, 446458685, 575819420, 595707192, 515396707, 977399506, 46243335, 678188680, 861252723, 295499368, 2403139, 59428282, 978041180, 841329095, 838569452, 172413884, 686592205, 364878866, 903413213, 540325791, 628297897, 659994300, 14327929, 92242101, 704084998, 563861770, 888718518, 486453265, 843416941, 923148550, 596845218, 168014666, 937261383, 434164362, 460076957, 504638254, 781029187, 500031230, 192344848, 905126583, 801164972, 36962633, 799009782, 714834576, 598872362, 394999835, 708517593, 333901620, 95535125, 952630806, 27608092, 293135020, 494720277, 133660921, 957123208, 257324240, 413915064, 130731254, 442856784, 303012228, 542439690, 735719642, 298099117, 200171449, 736276902, 872647012, 990034475, 62094518, 325971064, 41742423, 931395718, 989550689, 773128436, 759777896, 890389535, 35777385, 143149843, 405263773, 437817131, 676086317, 998863129, 77826230, 75452282, 794677396, 905163618, 255901761, 621933811, 260169603, 660151089, 251332905, 578717666, 881444813, 615405590, 123720284, 529124547, 770526156, 993872760, 484469853, 572811385, 732782192, 258758951, 732396703, 828635931, 548055559, 888768533, 727443345, 566718095, 677814307, 227924775, 190101187, 243210363, 359218445, 214159932, 813589143, 896351428, 708242100, 880178317, 511402059, 228707181, 678425026, 936587129, 928103065, 643237395, 679554959, 245576905, 772031417, 499476389, 637959694, 961913239, 883745675, 511961423, 989622873, 98185944, 552152707, 455826834, 458043980, 963808855, 975911847, 746007704, 819155874, 878642872, 695738095, 618663713, 949279228, 980100962, 793310588, 121138824, 769838415, 339332915, 694724109, 23758255, 841431865, 813624776, 899607254, 943905277, 938634110, 684112090, 110543979, 146741571, 50995361, 293070168, 485327105, 308561943, 757296883, 875128196, 96792046, 269805462, 735719240, 87242995, 644878879, 316499840, 369383257, 715063590, 522365187, 69370398, 628879089, 403054925, 929626750, 674766610, 172236677, 794064729, 604488596, 922916520, 72737291, 741891931, 972622550, 402549104, 786486198, 287508226, 948988935, 113987743, 582851672, 449940500, 763087817, 367676502, 195273923, 352049570, 24825186, 141433577, 838274923, 596323450, 471562200, 517569326, 760050218, 28926339, 778042322, 546981570, 127491680, 862255330, 29867446, 394065726, 195911953, 781401443, 504070639, 419382622, 736500216, 750644628, 776402254, 948438021, 550482791, 183683835, 374064047, 264930782, 996142570, 462216985, 159698236, 534997270, 957659958, 652435467, 385282047, 632702530, 686636003, 496329990, 588308517, 306167660, 915276882, 660264085, 261206539, 529577767, 526043379, 960527825, 371472137, 143676938, 468687928, 763070459, 900326149, 747698078, 960890996, 659972215, 640638845, 932279137, 680389901, 432892663, 962683918, 236756674, 778051773, 956869579, 1864928, 176042658, 941338650, 113407588, 598546948, 221292248, 862553852, 817497039, 876630419, 588138775, 486586696, 530658755, 488754115, 925026579, 748713072, 951595903, 141495507, 316806354, 262928959, 686156531, 577060825, 620020764, 55122958, 250923065, 151216116, 69928311, 503298422, 658333042, 357841527, 229431227, 600298001, 996265243, 584895494, 318657894, 879571698, 896795154, 886208711, 289896059, 434529256, 366654896, 685369052, 10158723, 909205214, 763208513, 652782790, 971484869, 780369892, 617642165, 223842894, 135471044, 150643872, 588884754, 916035068, 773790979, 658913006, 348128187, 835334282, 469632201, 896883549, 225718400, 930694631, 548746683, 126220038, 683787517, 412506219, 233298896, 167805799, 337681339, 280224351, 667844210, 773517688, 63351775, 987180971, 321854021, 923154014, 336248902, 900068433, 303905794, 161353114, 938345246, 41175877, 416314606, 752708250, 475789286, 632730991, 229233958, 740533274, 72765360, 70184957, 306187474, 295147514, 845469061, 699516525, 967305005, 273040619, 234392177, 518780922, 993147839, 34470897, 430058336, 965412926, 155696676, 905855881, 640023894, 692195872, 547009835, 640942550, 224326714, 721935623, 714643218, 722088582, 873585914, 540273932, 473874320, 349040499, 117943897, 687298970, 741273642, 989936930, 202009241, 438385979, 623982603, 44218362, 849356684, 368584983, 257509090, 41556264, 703173890, 397118505, 489176745, 94049903, 830648559, 237843559, 156503529, 958454600, 211394390, 81836913, 563888047, 164872458, 550543095, 548873346, 469194972, 731584198, 557556445, 950902226, 604221875, 263103555, 41203706, 703440297, 815560508, 362997023, 47327310, 213268570, 198239150, 686234695, 828177661, 254018183, 847755255, 561459186, 109893133, 527528842, 548232939, 996215599, 381073207, 47310263, 778461447, 724775851, 137464861, 398507028, 233902132, 922365606, 443949593, 753912916, 293083426, 320370985, 165333391, 883445137, 990945525, 728536063, 249591004, 202500290, 604698034, 264843630, 775305845, 100598745, 413088633, 597646407, 509158444, 257792266, 107649747, 409731741, 22114873, 119007590, 135556896, 485923556, 482017091, 61925401, 80733447, 521040661, 960358823, 573433162, 693326284, 587229693, 577398563, 770292102, 442548455, 16186533, 815007675, 979726830, 11419931, 918322745, 222591662, 149499837, 692412536, 609644521, 666979184, 14307163, 667354471, 343122859, 948228710, 666778160, 261443494, 340746107, 901511799, 109002019, 773147263, 45977041, 423016367, 853863415, 820303653, 123329754, 396563912, 371167663, 5174532, 591171828, 612946599, 655823739, 799022885, 221543722, 999025968, 427023907, 616779060, 543906488, 964900222, 766265513, 341183172, 504675079, 733475147, 618991188, 684419770, 424705378, 543362883, 486796195, 755850608, 319341040, 28895222, 493750344, 127371669, 586559122, 763184998, 850335179, 745631429, 738964534, 724601597, 535927203, 599840601, 779771727, 86462472, 523342504, 761368795, 727686122, 293606588, 979292766, 229750365, 562688691, 808116415, 293770669, 441142124, 663284380, 250589369, 122452513, 533741283, 632056635, 973161809, 825678961, 737784484, 228636052, 70787389, 938786943, 356478742, 497536600, 905171869, 576763735, 668168745, 303524093, 13728102, 568475085, 130340752, 151682600, 122756996, 774706136, 68116481, 11078552, 311623321, 796971660, 802195981, 714738303, 732069753, 495482396, 82680899, 723178060, 920016478, 660359656, 284338357, 934260049, 750233210, 442501992, 145277922, 787106515, 556983803, 913098816, 160657621, 446512121, 838272604, 542632262, 804053690, 131442646, 705329977, 213468155, 764236929, 320877037, 381665354, 731189516, 628434050, 592667030, 766967476, 728109825, 368906849, 798029692, 420832609, 632033476, 800727529, 282253708, 468786234, 95777256, 357452923, 270480590, 754484317, 468231130, 938856586, 897804419, 533195164, 818633313, 323041572, 92406074, 7348017, 624860376, 496061253, 925290011, 955328203, 198946938, 322323360, 124747525, 190819177, 22684122, 499602772, 419448565, 641227954, 662172938, 703467210, 1852176, 679402470, 766491616, 853870808, 373406034, 670829864, 681511546, 205518726, 326725184, 275818422, 304521169, 862566852, 765511949, 59425234, 547890217, 916634345, 260341415, 708066847, 641490687, 104919555, 314952705, 150133418, 736205191, 252950931, 701605690, 139056781, 143679253, 687959433, 349525669, 346385928, 147660628, 700838464, 767943134, 671065992, 751008901, 150929656, 269609358, 535064972, 99766405, 848970262, 264371149, 335796848, 719218818, 9940227, 824290150, 986114192, 808445529, 424904670, 324279123, 220351840, 324290984, 833970024, 767665757, 559241827, 185165582, 140601521, 371780144, 793231567, 19894892, 430883585, 699991969, 889057858, 78929471, 149634271, 135069669, 120810408, 935661469, 683389647, 959037732, 778754578, 400424986, 817760206, 280428126, 214201670, 669318707, 714734433, 97333924, 384127674, 345122746, 141818128, 541931210, 985551490, 462789767, 478669034, 532793487, 558722969, 864795904, 725225090, 353538775, 926719358, 436671202, 591282431, 162099606, 998505748, 128994065, 908107409, 235558687, 585367523, 687337610, 977404339, 402638533, 710941136, 752780150, 424407648, 874828482, 919367474, 109746069, 619604742, 842015298, 534573590, 277644816, 776422371, 44957069, 153150338, 810400200, 521917051, 395006583, 640896140, 732232983, 11586803, 753322675, 599272868, 279864049, 695356348, 380051579, 746256011, 184162653, 818432170, 378633177, 527723407, 438043093, 425184002, 248857035, 240253943, 544859581, 974319774, 610800957, 995837925, 967977540, 241841313, 707513632, 770945505, 2773393, 617972447, 524660504, 986559697, 614537706, 109843413, 840751530, 800274315, 879427851, 636959428, 464854741, 752595672, 600003994, 56520576, 760893470, 136306590, 876395109, 692286217, 502841047, 423380576, 61090198, 894866861, 560995886, 214348358, 39884570, 712571316, 425079536, 694569095, 704361322, 877671755, 831089344, 159204254, 848018792, 330229320, 965656881, 690165615, 985303270, 767209802, 696087630, 904657214, 142984579, 542793650, 715330369, 414910452, 250382445, 42810572, 986162704, 990023361, 164643856, 101797138, 602476779, 336642993, 600318339, 313830982, 236358810, 205323882, 638712614, 771922573, 588916727, 845136229, 536523287, 192579719, 841630137, 217180380, 119603173, 833597815, 292095677, 320102446, 14905830, 83603725, 186390955, 725883945, 400795847, 144232290, 211174276, 19969981, 773005708, 231197211, 793221499, 110039785, 255782499, 229367973, 379108767, 135023214, 403590337, 766536063, 318087147, 437306221, 443159520, 53231197, 187914733, 186485914, 947430477, 824880312, 99845325, 586310739, 147880745, 757689942, 480225865, 884196104, 724458463, 437300611, 528418070, 794761615, 81053361, 260935829, 433993397, 486730705, 409208184, 227898548, 166952317, 326203202, 804441387, 970435240, 213109729, 299376038, 608484533, 614086434, 569726618, 642417041, 939807507, 501528654, 521631135, 642174676, 768013133, 32664160, 284562482, 463754885, 528806925, 734919163, 474628748, 601194090, 249544527, 771510533, 645822504, 219348256, 308851395, 487048350, 354027557, 529222429, 233041875, 796744258, 344722296, 54456119, 966170966, 444614173, 106160788, 92379911, 542153412, 932589788, 21084285, 66689461, 435968342, 284961973, 294348860, 302741628, 545766375, 274948478, 658770497, 372058635, 389839982, 814102898, 763128115, 553904866, 794171112, 727875519, 317183668, 521352642, 580884019, 830802225, 985392151, 797419239, 629907440, 637403157, 418749339, 261634107, 463480826, 374311457, 479057829, 140194937, 40370952, 300461749, 389921145, 282864210, 471704331, 622484842, 907092139, 919889922, 887950227, 85008962, 124813194, 562004291, 897476454, 993609390, 404455091, 206455668, 243914991, 414149464, 64360883, 318681081, 848085621, 681839858, 967338519, 318545130, 458081651, 209603701, 917362653, 564129151, 833454844, 58462927, 940068900, 833518678, 220223820, 339608426, 391518142, 299640446, 769413547, 495099294, 401146699, 507155190, 118029580, 735427658, 677145253, 855991427, 277340214, 679562578, 826011061, 266456921, 265927684, 777632559, 810447415, 643970436, 372767736, 321921330, 451658917, 867577908, 181474705, 683271196, 279862204, 789125808, 298236469, 986691883, 930082443, 232896174, 298169652, 367684932, 318634145, 798891381, 98818838, 705157878, 167773018, 75154030, 202385048, 315947231, 735818772, 806517444, 330913934, 797794677, 396553846, 136074564, 101598923, 658865658, 351358164, 727537208, 925896815, 73336052, 316107707, 616332995, 929450055, 994943597, 997132741, 723060435, 320006446, 374771345, 335247825, 834151687, 498083513, 701705956, 386598606, 302167781, 675221844, 675117933, 578222047, 737243707, 704885387, 739217281, 809988831, 390797612, 745954865, 677885937, 391719278, 666004980, 642750899, 454836291, 964117552, 762298815, 535051889, 79469651, 135488966, 935527747, 728181968, 598017374, 232778268, 819798847, 701308356, 657166794, 647647231, 376664798, 300645991, 741459030, 861564258, 710762354, 50971726, 329060413, 324196205, 626600453, 608408865, 772816592, 407112287, 376708593, 876193677, 886854642, 74760775, 35784394, 712288626, 643612706, 437347958, 592694728, 578940060, 390272813, 541448221, 875382927, 457952254, 322453710, 408058610, 566599132, 18886587, 743645638, 228724009, 738709622, 850491059, 744659002, 294186725, 845792042, 925495606, 153124415, 287462864, 794054943, 195333208, 322361003, 572593617, 86804752, 66769471, 132085725, 308606842, 614117544, 361700944, 256597380, 144681895, 272949560, 6859641, 307359239, 533564250, 496470802, 551335910, 433102387, 45805144, 885594589, 455145636, 32686903, 34556333, 176412464, 884193066, 482503837, 903104170, 442038892, 37281303, 253761603, 419253466, 966537319, 439651181, 228478121, 804736847, 199182714, 309477271, 815705171, 511124741, 135187980, 53348787, 14619523, 389280165, 588465017, 304942713, 108788547, 572786800, 331692029, 118166083, 533690604, 962043242, 530590007, 211766443, 995108204, 317883054, 446335474, 13653370, 151359685, 43405803, 702208488, 474292709, 866748661, 410157439, 311602955, 642160460, 587369861, 536644904, 440559880, 894780571, 79925606, 837947309, 905687497, 253322863, 268972503, 118232929, 645801423, 97235104, 380554238, 395002598, 470194092, 845062624, 520119405, 50649832, 481785253, 725124531, 938125894, 391603298, 266153685, 328188582, 472665690, 893333876, 86934475, 174029777, 454087773, 874963800, 991495711, 224468844, 872581620, 651803981, 523586516, 508438322, 823886942, 816836362, 840054325, 963670520, 900145393, 337063505, 333570810, 182227852, 486169920, 600941438, 349268875, 156123866, 136390574, 773664267, 890005139, 945843524, 618995132, 848920491, 152661243, 982385936, 363201339, 530140041, 32290103, 93273673, 559952565, 632851955, 915567826, 556840431, 458635736, 830120820, 670525962, 504513389, 389372953, 718326486, 612056870, 665752457, 211491411, 846779777, 824718181, 495924958, 692398841, 959054757, 23557249, 414022349, 814350440, 425282957, 80292023, 199274393, 224843545, 246520811, 206618574, 992652418, 612469681, 408484592, 376838628, 38405177, 778505846, 151771996, 904547726, 19727132, 713202228, 989466118, 430267299, 977421269, 691089740, 376751903, 515990152, 650376375, 861894823, 145115471, 55672274, 734369547, 964193207, 468953012, 445495317, 535704766, 408699544, 166283998, 139941389, 237212303, 447265928, 616581199, 574107788, 649982766, 883967291, 36274920, 627580659, 997115144, 737259321, 84091577, 715916418, 900775314, 578508115, 208560649, 115498904, 265565893, 719720048, 748950174, 327250058, 106475586, 212863650, 622778591, 30337435, 907043881, 997311675, 834291850, 964202613, 507767464, 829570922, 795307828, 494170145, 108744165, 96938833, 513387679, 461489248, 696110062, 170139187, 3227602, 188419447, 496815981, 857654973, 259949843, 360529700, 301037714, 210858298, 743934717, 766306082, 743378069, 882730339, 502774557, 819756889, 639263650, 20626285, 676808621, 20354810, 641918017, 736814330, 59789319, 376067608, 358490539, 469175327, 63404781, 504772403, 586790040, 565798435, 362711253, 752184707, 951541265, 609110988, 463690330, 755539008, 78066373, 673193711, 139748648, 636283218, 184106540, 267258503, 15263995, 601958933, 781284644, 494561805, 287653110, 590253963, 505752075, 653929099, 127063079, 589447023, 727395196, 730111825, 952375782, 248930184, 749255835, 982449204, 747599487, 870611105, 360968813, 552874133, 201539611, 594720335, 346599828, 401045034, 453592701, 86757586, 952272348, 366218126, 519317258, 170437409, 509156379, 8129882, 489170057, 510178445, 542872261, 983045333, 66542734, 179668892, 182339457, 286072885, 522541154, 156717941, 436268971, 981623728, 243445503, 795015877, 43936776, 625331171, 538984196, 365219156, 980305313, 101442336, 962398703, 429336051, 253548586, 353754098, 864657896, 663626869, 22800267, 221718636, 842227589, 904034798, 662689385, 863239320, 251478649, 83530103, 267225908, 504095527, 366659290, 986917293, 378949772, 573918055, 804074442, 28963827, 877801936, 134114486, 683582861, 986964220, 910531177, 455811316, 412804165, 952817834, 878699020, 155980752, 791532949, 621904697, 343576206, 162766437, 5607776, 553591409, 461501391, 47614227, 778357318, 483128717, 159409865, 838757241, 332130875, 338431934, 279874014, 111336782, 230379611, 145468718, 666095199, 582843105, 138164651, 384220008, 224690943, 219604087, 913653740, 266555964, 32825627, 675131353, 68910217, 812466110, 407644144, 733609521, 313197533, 670180321, 291282653, 851322428, 842607525, 69158326, 644683224, 895320340, 196982786, 235702588, 24974190, 788372399, 408003321, 126442540, 359616978, 611354299, 983763378, 446134050, 336699380, 616577570, 871189094, 326474133, 810492588, 909916585, 395807651, 916566056, 13413641, 89832354, 799073494, 110348738, 938972123, 470874532, 964750208, 854265487, 660134753, 708790854, 688918173, 138891916, 886382749, 223659308, 329224850, 337793546, 429982678, 637264789, 236351526, 179134911, 641404727, 813049033, 897176197, 796695739, 446597720, 750385352, 349207654, 370147998, 145231668, 90937993, 692660077, 895878886, 848808502, 739870579, 549181382, 178374293, 449736225, 47741791, 77945718, 370737785, 556076713, 208643494, 429788360, 32166231, 223354216, 17220225, 774782561, 18161840, 626404037, 326918465, 21158233, 289135566, 678438564, 465378370, 457159316, 273108098, 533518841, 269648071, 706486889, 475718713, 388581831, 69773757, 312978516, 234047424, 551252908, 768791974, 290950419, 128361396, 221288489, 771184635, 109991697, 59034412, 646574489, 663064871, 134020825, 900619915, 646865896, 314854956, 482429410, 863152067, 334158461, 100422004, 374804504, 575883956, 939347278, 697044614, 563802389, 551073818, 68406001, 80560985, 447397234, 46433886, 361793631, 9922670, 510111369, 566426459, 640523265, 983318793, 831528365, 637846054, 799921018, 989381502, 925350665, 205751204, 349294927, 950764778, 960347811, 74932193, 754959053, 953937891, 431377926, 599696603, 934568857, 69960290, 673938518, 478937548, 876173022, 947758506, 368878899, 239193094, 859414828, 670428817, 590208953, 966311952, 366046174, 238501698, 758610045, 175376800, 497086777, 353332811, 690645448, 373785761, 62249379, 263910698, 41659919, 768985816, 259526346, 581297435, 9116755, 719734226, 188398697, 978270757, 199170175, 606529753, 346838945, 784158581, 186420207, 140893477, 492586742, 702559751, 507887020, 582854242, 842813212, 58516652, 451599527, 609065459, 755882003, 233957277, 576993846, 85620898, 74056383, 288521624, 646341670, 247577538, 336048000, 163310897, 607926585, 948549899, 195578539, 787853801, 841921349, 504189152, 506939826, 85190012, 52902058, 308930491, 961700861, 790508361, 204187681, 544832705, 212112639, 621873681, 819683184, 784174519, 59106329, 925738236, 689909544, 231501733, 963501959, 934153605, 40074772, 664380679, 118367355, 839889348, 509277770, 8847783, 136655527, 493080778, 392884551, 488214790, 73740874, 228863003, 979105535, 713021563, 509867357, 704064117, 663027828, 800423748, 545228551, 580665472, 322418656, 977245905, 765248190, 951015523, 190331532, 98038073, 289472084, 774789763, 809720008, 360769345, 374928879, 799501989, 613666037, 328362611, 977121845, 279586948, 761518660, 104593005, 428596923, 500966732, 122461611, 133416156, 531369538, 441579339, 561087057, 541401335, 484551478, 962933909, 68828815, 936262422, 245192795, 302108729, 574804815, 736772182, 534283273, 164177857, 25870604, 951483887, 588166945, 589931645, 975390755, 872467997, 599678330, 464797505, 817348087, 376252548, 176091685, 989508962, 574577914, 959741275, 977829102, 181920390, 770240365, 535067416, 508163218, 472321680, 591967885, 726403076, 470480205, 892244149, 745115632, 809117891, 840869599, 522610393, 39366727, 621260115, 717342009, 462326160, 382647137, 144060920, 576714448, 347349925, 300746360, 149577339, 36076501, 361008706, 249020640, 980626600, 636806777, 474857013, 373943378, 972747975, 936227862, 782525928, 520855724, 706109284, 724031189, 621285377, 793941717, 594439918, 596022720, 423053126, 715539454, 658023840, 981037499, 900853822, 593076953, 312938548, 621751578, 128577187, 868964449, 370300345, 204233601, 759407020, 730487272, 939429511, 760360169, 607099419, 234153769, 794403822, 973717478, 712319924, 825817032, 797810328, 58866618, 728749947, 921727999, 712719588, 941390903, 502079886, 357537801, 34558441, 839903620, 737032587, 690314283, 184292713, 566645704, 748997692, 874448775, 895240876, 924336378, 163030313, 404514069, 755798542, 888128182, 230860570, 650351870, 859823840, 588641293, 963381129, 586188270, 325491592, 990348641, 550024371, 346105434, 54338953, 793847088, 590837772, 364789743, 66517391, 599678650, 404648195, 986403122, 400828672, 379826444, 93073034, 798202695, 948199485, 714822736, 420265248, 292025334, 852670803, 119652695, 6606489, 932703888, 522556738, 833677381, 762788956, 214181591, 315978937, 352251616, 955740766, 947441999, 30237661, 466782735, 504703568, 41764012, 680117786, 988670382, 349917913, 439230303, 779641867, 238176247, 323670141, 645509058, 43437344, 14838556, 662998229, 939103706, 972738981, 748044544, 713008489, 942955268, 35804957, 825012336, 831958908, 277297462, 656991762, 388517540, 94607425, 706921427, 839535921, 136731811, 701997233, 777391626, 380426638, 231791464, 364306933, 224630061, 985802659, 556848798, 260432290, 616502258, 923805925, 802796589, 602764088, 402465867, 108075762, 578459907, 411352971, 638461704, 819914019, 678700331, 119248952, 730903122, 577979127, 962072683, 521973496, 729988248, 541877104, 913177136, 400208668, 347035522, 529595463, 251424564, 533313977, 22475977, 106957132, 861872378, 995192314, 447261267, 658190210, 532692232, 620227724, 566026272, 24116753, 998333736, 11501490, 670680749, 329768777, 149715320, 794868264, 391746953, 330068789, 307322419, 249174033, 394267228, 233279729, 84287000, 729892112, 124624239, 682906059, 551094950, 716081689, 355690625, 67015773, 895958517, 144628419, 814004160, 983335457, 216952369, 714948515, 655707309, 849817174, 515758708, 92191059, 246444143, 242776055, 801707408, 967120967, 536171252, 285719234, 198404249, 497392979, 72219855, 973161060, 173184891, 71824281, 856813078, 827102161, 158013431, 655185139, 846195372, 850895874, 986407185, 987852535, 341770458, 247410980, 566673889, 96060634, 646113030, 76480317, 784602436, 735448001, 914843745, 518308140, 919120788, 973740814, 653853583, 390656106, 561738876, 414030318, 801746413, 868651505, 406778313, 666991066, 336058286, 242661779, 174787314, 354954591, 523429725, 334257202, 805322691, 497841642, 423797828, 335242058, 514620193, 779657426, 458600046, 56503647, 741670705, 702436589, 904185919, 458162468, 616550242, 566505940, 320146058, 634233842, 892033784, 677431498, 329374425, 528469945, 101644620, 541245319, 362323162, 862548172, 215363395, 339856918, 769333535, 465965061, 521366376, 798224113, 603007989, 283873806, 652484383, 85156567, 253390545, 566617675, 144777563, 388755797, 829554604, 795086383, 321652635, 152023942, 337516377, 182885998, 289843418, 833943168, 78822898, 619646641, 925518432, 418386802, 878701817, 113022893, 768488409, 847597656, 500390984, 973929644, 611932748, 861971546, 409973463, 682697733, 175075390, 745062616, 734111998, 659729631, 85827156, 470581355, 317215293, 685419000, 850245144, 512390821, 623610047, 197636379, 78913203, 184307390, 445651469, 54216151, 373746002, 814057587, 636993994, 510301635, 75169271, 801241368, 521360958, 155608949, 653318400, 735070407, 882112988, 234904159, 707451243, 165607957, 18298824, 644464980, 836669301, 458572658, 863379402, 607893209, 303304990, 400711305, 350202415, 772711671, 85562967, 520417813, 719153116, 801880482, 764952491, 905686983, 46800229, 362276183, 793320715, 942622583, 28477967, 483867128, 997852191, 770683831, 824162142, 686420546, 21006633, 83914096, 109939866, 132575583, 857850770, 954124235, 379303337, 464609206, 738524200, 255374020, 781768297, 387360208, 527124036, 588280960, 217926332, 669759414, 109806802, 293129429, 588011701, 369938881, 536412684, 600306029, 264535428, 177108850, 397315142, 288419401, 435139305, 368733747, 405435077, 574219769, 428458307, 797372882, 678967488, 684473439, 979571950, 617514840, 856811950, 43683265, 515404807, 415550465, 341147280, 483764641, 688306296, 190147823, 603025837, 663537828, 503734429, 272195385, 84295341, 524441915, 977981106, 274845540, 935186661, 929889741, 601703154, 282942465, 832373333, 286194255, 118850994, 159245110, 747869597, 592498920, 705017285, 15672379, 476278257, 196185957, 730175958, 239299541, 850975211, 165931132, 232159600, 608582730, 219106843, 820085563, 928101393, 547071346, 135459848, 111064620, 578150358, 669865282, 762777801, 137546177, 921314788, 279166616, 913418356, 684362628, 421568778, 368481929, 767024213, 405888725, 395518758, 521606038, 97275232, 88502510, 884572837, 461028363, 710582613, 196720887, 122571153, 26827230, 522520046, 700907017, 623668052, 65624186, 465615059, 23740015, 288068727, 161130849, 633996895, 521352717, 891914162, 736717189, 250904272, 188093774, 227979479, 805459651, 826472644, 591963918, 244324070, 546228642, 94967459, 819934443, 160123850, 213324842, 197610859, 185961750, 534171404, 831084729, 525660906, 713449163, 52244499, 104916178, 704457237, 497315992, 804506785, 991307728, 505725950, 161097587, 254634232, 964977009, 859797017, 63919266, 199242516, 669995827, 70395628, 407226633, 646801574, 852846786, 134819584, 968511605, 578436727, 113465095, 414130209, 219556131, 940065303, 550110580, 518664680, 533739764, 654827226, 117333355, 632415088, 221318246, 745153814, 578810069, 665043401, 212844218, 589688770, 1205503, 160504413, 840689855, 234858627, 654189047, 61011111, 906593389, 237108709, 914848934, 262582740, 195527104, 928644740, 303752501, 342327150, 630261739, 975170849, 235251731, 545752590, 352613047, 492175523, 12261076, 497195032, 850200854, 260713353, 825829736, 257477582, 589387562, 928405293, 206157591, 949181802, 360849585, 46741251, 295170199, 706295111, 533005651, 913306632, 430406394, 741165857, 80021536, 796900536, 120961904, 945295298, 503699377, 823026863, 864076956, 145683753, 163558109, 256599978, 422673187, 447914234, 142468997, 31147789, 818965358, 594543813, 296303157, 249567419, 363369253, 338085283, 29628428, 356155356, 51345863, 456529078, 454784804, 698937652, 585822628, 74265788, 175260154, 458538002, 230939120, 232923485, 469548796, 838239513, 96086155, 628023891, 227459915, 425460631, 993421207, 264262663, 275206241, 172747344, 151804428, 565451014, 89812929, 490047659, 432136891, 705658100, 822208812, 771627003, 947267948, 33541487, 639644191, 613739182, 236816760, 748852163, 601725339, 269944973, 92981780, 215717120, 773829412, 803903030, 577144986, 299162002, 962516923, 801058070, 447283735, 863351163, 451532659, 706986630, 202514234, 281319266, 754320382, 142719597, 294399743, 549907959, 640829798, 909892845, 302510270, 939178705, 566223859, 80213564, 88440945, 373137426, 351286323, 862895698, 918248913, 849726982, 180089737, 173106597, 410742198, 432492815, 661614304, 547529598, 983521541, 198071539, 126017389, 370338220, 541782419, 218443222, 830989933, 352969273, 387380376, 140055440, 841195049, 552898958, 166452525, 560206661, 829341339, 753650047, 123074525, 628131242, 332790821, 840548027, 72009381, 384904738, 609014728, 96424802, 460002418, 595243342, 837870170, 69695324, 878134806, 544095881, 61215947, 503654930, 816059001, 619468219, 276779715, 598800030, 897738735, 103810351, 93089515, 714224793, 881448085, 371175153, 843733907, 362560589, 20289362, 620895065, 84695449, 869708050, 675467852, 129037906, 382975751, 625823232, 356284245, 76015016, 327012849, 436684624, 141933157, 803595559, 327182174, 537684153, 781397188, 77662475, 420165865, 700286416, 796299995, 320951803, 731905165, 749115377, 984320390, 393545864, 624095621, 955450889, 489947084, 236203250, 80857222, 470995416, 951285508, 787951557, 646472072, 761708369, 812139984, 788466185, 31384586, 839766709, 562775948, 139952842, 919745781, 820719003, 706596706, 399043067, 444197511, 575249403, 312553277, 796552355, 325460064, 567306718, 482185227, 898980249, 223432726, 899496448, 621613996, 350837707, 965679026, 487872058, 737161698, 804657984, 408251822, 783478500, 337445798, 555204131, 735108006, 766183939, 209973681, 372720545, 571674581, 416301187, 696277719, 163534652, 999818146, 30590342, 798589899, 694460848, 655814183, 244366492, 906589106, 610862786, 356838282, 926475778, 937122236, 459395723, 452086887, 588973167, 986964719, 724940159, 522712810, 808932525, 916436498, 776846029, 311562741, 242803330, 599380320, 725446071, 23527501, 60421952, 227194823, 973365632, 106210932, 327262111, 708491323, 741124486, 547238252, 475699520, 306510071, 359402814, 344777535, 204543331, 162599917, 491636895, 530685425, 914844145, 880792222, 853366643, 76578823, 214209159, 423847362, 537485380, 683016635, 705096175, 244533398, 966239035, 776000687, 240691101, 588731100, 541684456, 688172583, 121664892, 587126223, 132445809, 834711812, 583908185, 919947384, 381015076, 662856505, 459182314, 736962031, 106640340, 675526035, 951509132, 823697235, 780974982, 252259208, 719029395, 887690181, 200965479, 535180573, 411851227, 323830535, 470094292, 597218120, 857679632, 352157050, 223935420, 334915641, 281997926, 163353768, 38734013, 825453155, 718940329, 8894949, 43398744, 322438157, 467639557, 629607849, 764612699, 620392049, 636202752, 692796995, 493952614, 588475927, 641719531, 745731048, 500883891, 957185974, 211676195, 848581709, 705847154, 337470133, 368884221, 386404580, 800215375, 355322806, 472879812, 154798360, 900468319, 970839863, 520786401, 216812551, 263838503, 472833607, 932924772, 398018424, 463334328, 671492619, 585815892, 223362314, 596263207, 263536048, 751186654, 460313819, 459759862, 793458978, 315934395, 410097766, 278863467, 721237419, 543877132, 860850304, 824053240, 281103572, 180739911, 520622343, 948181537, 44061155, 329406026, 338418155, 414983035, 919201749, 490882694, 97030014, 855327287, 516933976, 483067880, 281127190, 774444700, 911361611, 355166865, 323963799, 719114777, 480826569, 814281471, 560821782, 880389161, 423475300, 158387097, 821219147, 857069543, 942343282, 541211718, 742509905, 565682167, 306730301, 920437478, 545348230, 78788805, 15028511, 32353416, 611567357, 805587935, 57927175, 905287540, 719098155, 863122272, 911582827, 201907424, 596349675, 131811626, 978112330, 37621103, 106460903, 174457679, 470245255, 960035489, 797359122, 140608219, 409057087, 135655817, 533428842, 676024043, 581130494, 367129118, 850386483, 352174614, 576878962, 972849878, 341284562, 90193885, 844628504, 536644203, 314742620, 174242389, 647992802, 869317044, 239701096, 736300129, 395770260, 686276701, 495900547, 670036213, 460216635, 839481527, 982167539, 361086645, 879651012, 210755006, 158278358, 206501915, 39670966, 775122954, 938088269, 879076197, 476452809, 780612357, 836275479, 162467215, 154449238, 570108767, 517523912, 747041056, 919886302, 305429155, 647880599, 784800816, 537037751, 269123222, 752473138, 434872937, 127054663, 208307331, 674291944, 798338580, 872993269, 401172157, 31513175, 436215317, 94739545, 692244682, 142217625, 543687030, 779438820, 260664801, 278246468, 891315789, 777025612, 189794774, 247932195, 780769623, 962461114, 854533354, 353186769, 219402309, 266800681, 426437118, 825889612, 613862892, 172510535, 926733085, 767124053, 624930091, 282795377, 983304557, 402987150, 420304250, 470365548, 125109793, 942616507, 467659665, 725967424, 682431588, 618490700, 938358190, 748137126, 689737946, 4942446, 263020789, 911156563, 281590747, 41413862, 763724202, 168786374, 373541948, 491963028, 796476560, 380638949, 550618271, 366212392, 802540677, 935837858, 145813078, 26551902, 859908998, 741089122, 879324755, 774152183, 553397969, 522102872, 293403961, 496186193, 631764415, 268840672, 283489883, 411464941, 417291627, 619799331, 312625436, 46831119, 773932673, 849779692, 973613102, 992126841, 414905241, 853962336, 804524588, 656105290, 858541579, 110395939, 206785479, 829208443, 183957528, 662731055, 35781770, 640217982, 420058710, 658375432, 68313201, 818028128, 239760537, 416142135, 953810793, 651614027, 514216357, 858989787, 494487095, 735211620, 765594898, 117435281, 587467512, 590070964, 813815613, 402712935, 15804354, 573914241, 214613148, 389224738, 568673621, 318959288, 602779843, 975574291, 74691537, 959635651, 252439638, 458082297, 39603552, 437297350, 566696572, 983331453, 117707221, 145705636, 779143775, 103787887, 270487562, 913375199, 243993549, 548463479, 914311520, 672330954, 830288691, 367161313, 638779056, 637671261, 303322069, 110959627, 943604802, 256169981, 227095755, 852797938, 838255511, 320953904, 863953526, 14441141, 575279566, 652156657, 217747379, 640053737, 175095416, 726275715, 837783160, 787174557, 409652156, 658790882, 573847387, 563901990, 234563918, 346661955, 961591811, 548185110, 786115667, 863049700, 638957012, 255114875, 288038496, 467032482, 645092113, 285548672, 363713616, 709716174, 444432200, 349084066, 82825929, 335786001, 616960071, 94503766, 795986773, 670604306, 368981550, 962109534, 371121631, 978466398, 363776812, 147204146, 206603939, 970039684, 396604988, 825699245, 56015433, 268981307, 307848633, 218727401, 240449452, 672875355, 259329744, 633364459, 986812469, 537775898, 612099368, 948242363, 345422280, 64429111, 119958242, 265279604, 703981293, 728174100, 270394721, 241347597, 356142330, 392246814, 633952461, 80359525, 980557227, 13963311, 793218427, 773011997, 768939585, 160713692, 97359885, 600189868, 109537383, 141566816, 304099723, 410747366, 990859695, 571907447, 569525856, 160859009, 670484355, 94417313, 667780536, 211780454, 882817429, 939658049, 626881189, 85035934, 595811313, 119578134, 153477526, 348389219, 599139347, 810176540, 721797530, 45900141, 478292114, 472864149, 193745932, 174149504, 558550562, 336485346, 242936727, 797941325, 467779889, 67391197, 258002084, 672875761, 986502880, 803458934, 782388664, 658024277, 443439585, 637118359, 10708628, 723242867, 163909084, 190466057, 407304098, 344872169, 850881357, 870774508, 937426353, 746032366, 502326025, 507091560, 236814921, 118350398, 481434759, 242804907, 565890242, 190519382, 410660303, 588180180, 675786818, 722252171, 501379885, 234148779, 24567701, 460241959, 211612603, 610829177, 707635138, 495982828, 311356747, 676330764, 423686324, 210432426, 111667295, 532322683, 219051364, 53355005, 520742946, 677177485, 870308358, 643578492, 297412394, 361790111, 955721067, 465286596, 910137683, 967273597, 934646496, 848374296, 519076556, 827220311, 789421408, 682391161, 43176800, 373390629, 370848051, 263315065, 15886559, 564272732, 826186489, 210193161, 857009991, 693843285, 527193553, 980097975, 221732978, 368733403, 433713321, 400078335, 280043999, 396627078, 943522696, 753382638, 964705984, 439332446, 853231912, 322972353, 669093723, 807342982, 810615643, 213434947, 30829992, 647675765, 287910199, 693320793, 163599032, 553608597, 979987352, 981974890, 653222345, 299330987, 672380744, 287036926, 129620954, 376428456, 622849467, 591525864, 287801742, 280103233, 733202303, 542327826, 180788796, 178480325, 514037798, 243243436, 277296602, 583188153, 88015190, 617692891, 922350820, 689738783, 648558829, 909650186, 278357792, 99840689, 908065991, 4133076, 307386486, 524163825, 72061263, 999981445, 295494703, 823642500, 542062986, 64961814, 957708038, 184238574, 784326259, 53216514, 809426915, 641804990, 46852664, 420412893, 55772494, 815936469, 175592968, 841048870, 29556582, 528830101, 466328442, 376322738, 92636757, 295787911, 391760878, 834893100, 763465822, 720294276, 93196459, 902156859, 198773285, 220538805, 126924682, 212057933, 360608998, 185176868, 276048725, 991750874, 144127136, 93566557, 189186444, 477514444, 574352595, 681964141, 497737123, 553366449, 599682129, 979480401, 182409325, 833739461, 157961150, 8730803, 952392629, 199845907, 960144569, 735691596, 565130880, 969651824, 171198865, 16322468, 29402316, 751687860, 359039166, 44581967, 815367014, 131680226, 806823958, 177198440, 535040465, 997929829, 154269949, 950687581, 383218593, 225875551, 382275501, 387880351, 724419137, 810234302, 642549271, 700160866, 18954364, 643635344, 183207586, 994045675, 751660840, 365704413, 904391275, 906548375, 671881352, 425291797, 576231991, 180039557, 562107834, 953131346, 401378341, 142370840, 800468520, 398077556, 745693500, 483284968, 539154772, 314418625, 409057558, 486971174, 930523094, 509799054, 323276014, 284891457, 780601687, 783547720, 857462857, 735845676, 722312980, 358858486, 358472564, 718065027, 434985987, 610464787, 127157462, 645482942, 490616668, 878140225, 905288030, 144553343, 363290074, 679564299, 456123394, 302053432, 7602845, 565164468, 583675342, 161754167, 34634311, 262987207, 374560957, 941883138, 705765419, 741289921, 386670602, 595171422, 884591359, 661174588, 823047701, 902087911, 246808704, 991963729, 810723157, 50581737, 50044883, 829273524, 161201354, 963304716, 610541674, 175684872, 676681373, 822577802, 404182165, 627557884, 547419690, 29817491, 680807216, 41816711, 553065112, 329281831, 314673508, 96553913, 406153979, 385817558, 390526660, 680536405, 888451440, 916840300, 577119544, 911266607, 264878686, 149611057, 964508023, 510563214, 534109757, 749434426, 894462047, 365707856, 142447672, 702021582, 644121059, 658628533, 371362380, 59450686, 115070802, 108378513, 347560450, 926817322, 818007524, 368503529, 559649548, 250939915, 528795017, 809171668, 531907075, 194678611, 199297853, 840267548, 852215441, 998894252, 116420853, 331398744, 74396763, 831374325, 776545662, 526629691, 823355449, 852987596, 593986123, 92767775, 846069418, 412471494, 558952815, 639740835, 745679212, 129667448, 653690657, 451524786, 985160071, 364011670, 540100995, 620740063, 929627077, 879445384, 100095230, 70101277, 538767854, 268264276, 894240445, 649029039, 820365425, 28508104, 585982120, 490651238, 158421322, 282650139, 839726149, 239019088, 304462128, 424508392, 244741592, 419244172, 363150362, 973050140, 104803004, 560526869, 186503479, 21350359, 128419587, 401231856, 865957279, 583517521, 249527829, 417777058, 255248238, 233657211, 565734902, 113420933, 866383523, 479927232, 794268506, 382414683, 417591916, 78724690, 964099856, 246666106, 663099924, 184187188, 658613119, 302437027, 814930597, 82629294, 420319466, 642496658, 59654667, 57461854, 992705241, 854176511, 781599418, 587777507, 806242756, 866251509, 156570209, 134587058, 901107894, 617280358, 163913920, 666394012, 614518567, 262078199, 142945736, 890121858, 20498891, 307872700, 958733433, 771855648, 339002116, 563610907, 161399295, 192568234, 918523610, 768273020, 320816796, 658388130, 51282694, 492894004, 711746737, 464952785, 618619932, 383091350, 442916880, 534701918, 770711640, 117731315, 483602500, 980922083, 182620579, 178612007, 862161198, 945781629, 974486301, 912985638, 178488106, 952054663, 909218827, 244769709, 378896775, 927144357, 250737180, 154170471, 744036805, 67565630, 457395778, 825397579, 78386245, 353226931, 956555384, 726207995, 46971139, 259439853, 929439874, 897528676, 809619552, 873892332, 119083417, 296130849, 736104563, 881734593, 526149644, 650624930, 554112084, 427255767, 398100561, 556241854, 925409812, 496427354, 958537554, 396657903, 866413574, 764082278, 867725691, 653702133, 99390033, 542809069, 449222511, 919644825, 28700361, 573354905, 975105083, 544622038, 537623730, 565328320, 449531348, 958220438, 814574469, 465853871, 938938818, 208373782, 773463231, 543669568, 942789229, 323691953, 491874096, 921510591, 595186686, 524484096, 638422726, 602345981, 352960859, 49523598, 773629778, 684660963, 244259969, 939665931, 10596288, 604356278, 846896300, 181620986, 223792705, 686624666, 780581640, 428025568, 615771193, 95321515, 276458527, 730462245, 644726237, 550410456, 630374433, 300245745, 649608022, 250186836, 127425849, 406462910, 648730017, 529710393, 165095522, 143563104, 220092519, 383153221, 451415377, 486972268, 393504228, 234133649, 286755888, 154666315, 983009318, 731914249, 591579530, 56266533, 91359610, 797844628, 577035618, 803517689, 758123472, 384617433, 687159085, 649971856, 454632629, 144243192, 219008605, 881995064, 342870932, 506021753, 603117490, 742378514, 513400117, 604803804, 55189343, 350804581, 968428086, 77156058, 913111470, 779977742, 256462332, 438059737, 496675243, 121055665, 828836194, 729235708, 781587847, 454102447, 58537287, 840422835, 284951511, 718042544, 298775901, 95932705, 413396004, 286580264, 960746293, 869957259, 925007921, 57397366, 522147118, 254214867, 966686370, 790620384, 467627508, 772515657, 333142049, 190017255, 480280901, 775097262, 317696848, 560382850, 998565101, 282008891, 555832848, 544342054, 366343965, 149795364, 552970489, 645016142, 802549851, 921936899, 698836293, 407033171, 304567963, 424187228, 271044928, 514758285, 45607267, 290859745, 673919041, 625115665, 476641996, 40532445, 734599524, 937209074, 720234909, 947753530, 650567335, 674231553, 945737749, 792417282, 213755601, 730397958, 64303528, 11976964, 158066957, 420047220, 320339291, 281883473, 888422798, 938331720, 188321974, 510680176, 529410167, 461247574, 830381276, 136474091, 753347846, 272743796, 665675734, 27451731, 156493566, 574479815, 468333379, 868676668, 73957572, 333113017, 115764098, 542752275, 52719274, 774051935, 450342108, 72289532, 541687715, 582942742, 146312683, 146389159, 748986964, 617814802, 168815113, 965192032, 539013257, 618299748, 138250924, 861194857, 646040875, 125676496, 67312538, 814871860, 108782677, 783361775, 167934627, 641872053, 374117621, 9692201, 577620620, 19412498, 694822684, 615297108, 692324845, 378501662, 425292053, 25631995, 509852689, 795950306, 103064591, 655913053, 394306621, 995325610, 762702547, 586650947, 801234012, 611174621, 744358133, 173051397, 289149114, 885686410, 237884042, 294119725, 729872000, 399604603, 278156472, 132696919, 854033218, 602336713, 953577017, 521666925, 716466894, 123046358, 585258265, 680333081, 819146074, 559702697, 527823916, 978906157, 845408480, 812346283, 261138038, 145312564, 356360483, 982599539, 749474021, 494284289, 600246826, 561518628, 830228150, 903911633, 850313484, 675300140, 293540771, 890247459, 971756287, 509054693, 215845192, 210696044, 690285270, 49891029, 825614827, 10165680, 570685384, 156782597, 890585997, 485640635, 334389570, 253777361, 417142567, 144784930, 608892419, 325991910, 115988406, 237672942, 313008861, 318749265, 509565234, 783258417, 767537149, 200819086, 309421949, 415987542, 912762144, 794529584, 825636848, 188359868, 665419151, 95180987, 437446570, 908272215, 296221519, 162998963, 909813533, 836757726, 848417103, 706564920, 90042413, 853133616, 984712966, 871213053, 485778581, 412011459, 355596087, 994015127, 416371548, 779702692, 127750119, 846498412, 933983954, 744423957, 634742557, 128642495, 666434252, 655314368, 219517247, 95759154, 712219353, 547611372, 32407404, 837400830, 946113140, 330236336, 512899320, 211788064, 461071695, 210684988, 187689706, 413803561, 434369327, 556492164, 629173491, 637889340, 920254562, 332887816, 626764750, 614725985, 796599158, 100054413, 919543541, 552164045, 929424292, 174611751, 338467885, 371190620, 906311848, 429899036, 933307343, 489862351, 36104735, 328850501, 55699439, 158404075, 730949335, 707322679, 365946589, 473891462, 789431683, 649679540, 695223318, 873679337, 346352325, 795518031, 55122742, 494728288, 761195333, 599241594, 761568526, 683213338, 283747250, 106947901, 751458363, 25602653, 167662317, 149888653, 792752598, 976344331, 202629758, 665406583, 885994869, 706421791, 474567984, 873332783, 6203682, 628801924, 566435523, 285649968, 781299694, 119333112, 887661924, 89377258, 517687814, 855544692, 979194040, 753208631, 866522938, 594214260, 442855147, 674322900, 89585416, 966144529, 790312204, 952102412, 168034003, 396972340, 207680527, 558026016, 465726421, 933355393, 922880570, 205703752, 344078714, 51622632, 211367278, 573955916, 304897268, 893964107, 313362634, 813377718, 878951986, 249291892, 399164183, 718198170, 50141523, 296429879, 410924606, 508482618, 752588268, 811178133, 556324834, 289689633, 643754287, 521710546, 421811372, 540138273, 515056109, 255108007, 770525762, 425670326, 919140088, 72057263, 734977956, 64054074, 983444141, 686173426, 296476194, 539802244, 363361692, 740329862, 753110032, 543825884, 321762144, 416538620, 236864066, 52142470, 243316820, 882569809, 576723077, 577883710, 359820757, 93433849, 870231678, 779360023, 469471261, 706339551, 267572254, 788080077, 495506579, 330030769, 498153617, 199201287, 733848076, 872621042, 943120463, 610028234, 93036599, 6797612, 823919509, 879226979, 314157475, 96176735, 322471631, 571978152, 279975597, 281392319, 295457155, 251364909, 567929723, 815621761, 771204360, 766731491, 249113918, 934042574, 708159224, 986698375, 130225562, 655421411, 632318562, 625638698, 974632788, 307493896, 188708864, 156470409, 965964337, 552964204, 141569499, 239983567, 219971399, 303685561, 848629731, 476507339, 639904129, 571209174, 683032828, 915468167, 551967720, 23483150, 546611530, 686284668, 443380294, 940344369, 323162181, 70674107, 189964320, 427444162, 470630046, 154778052, 598678055, 933583516, 636916878, 9625663, 589434365, 106545596, 265755641, 472138741, 241024230, 783340238, 431386065, 329464736, 970101503, 25546605, 26436634, 617640975, 996870859, 978519694, 838892565, 987970896, 373161572, 43883187, 673070697, 646330886, 647683569, 42791612, 496976744, 518902287, 478766257, 51141251, 711407706, 364519973, 689310314, 917773244, 434700541, 11491299, 297023522, 310831096, 398824187, 880659520, 514399664, 76947395, 989044418, 223272132, 988675194, 903512135, 30774038, 826862013, 165562541, 245735019, 568951976, 7728379, 653987381, 794504516, 406661924, 155162155, 66942263, 594826449, 57290123, 767818171, 372842842, 444733811, 143692472, 952191129, 596126188, 717370849, 657985705, 145167965, 21538054, 608298968, 118629471, 633761764, 19509920, 421192205, 689363035, 642640597, 167581328, 682377929, 267100737, 219495261, 591672047, 236304164, 977771340, 719262950, 543883912, 702472669, 718911028, 408337583, 895820369, 324789553, 302488678, 542524353, 550564952, 545591336, 383783500, 241165597, 517513782, 524779774, 342429826, 275242228, 758559939, 316472874, 96219333, 111322382, 739399534, 114283473, 137166015, 377193869, 728543116, 427038991, 541264707, 582131381, 98722179, 887524273, 987626493, 165063500, 985073798, 699893197, 917881011, 55576774, 47418513, 934711848, 250596533, 604940034, 596354087, 889495092, 400883918, 309547740, 105601457, 475073304, 254132493, 210431228, 202057939, 437472417, 568771219, 427105269, 720407778, 373101830, 331471998, 51838367, 863688588, 227942747, 69455917, 377928118, 699598124, 744195419, 784967560, 335260124, 543502417, 215209827, 617115046, 29757783, 93311729, 978638352, 356149727, 574961103, 335870881, 141814507, 34002254, 47736348, 983377182, 891321787, 333354979, 801327675, 818563921, 800555958, 862736316, 140195727, 734152751, 12472764, 775869066, 18638373, 344783593, 817587252, 28975286, 196839409, 548184, 305852302, 657547598, 262798795, 413032665, 955455111, 913339266, 844566799, 290939624, 893238651, 816014378, 365682678, 529049175, 584872951, 950160367, 721031153, 540409332, 359207958, 239886424, 807211014, 227957170, 574891764, 473030679, 667505279, 905482016, 371897740, 759047223, 227532201, 315683370, 855989563, 91808598, 443881816, 911370144, 349331294, 613428579, 236418677, 615720526, 125773613, 633255466, 212323199, 78585983, 226025437, 982860143, 38017436, 626869660, 393599150, 730151090, 490881659, 58932972, 485217460, 91124667, 134381317, 700143205, 956660881, 238510547, 603802290, 457200876, 49619548, 789859149, 281147300, 621541272, 963005123, 213189050, 92187652, 747627059, 469658790, 610197414, 197453591, 949018110, 220693762, 704638572, 803483136, 62562887, 763249074, 160535107, 899001616, 815257496, 357421509, 377327916, 180850543, 798477751, 24835817, 113828251, 793468368, 804759796, 858524861, 222973968, 73154680, 872794728, 598656845, 435391072, 933331273, 99974138, 564875103, 759098863, 212938849, 568704071, 461091735, 581553072, 839331250, 879009297, 506607817, 655607424, 118941037, 177733202, 743700168, 790958645, 248398201, 362961356, 444575185, 812262363, 507728828, 702244949, 764449969, 327164259, 749039199, 767293570, 894969893, 240704508, 979931472, 351683951, 256390840, 370740728, 838643541, 456996131, 632856509, 363843449, 2216755, 696792482, 536025976, 586564508, 888709311, 999605820, 528579306, 769625726, 667487646, 681167266, 720674706, 599557549, 253856267, 411553754, 445501027, 357118892, 28472119, 875523387, 334003777, 534833324, 217471257, 834950312, 670908483, 337508362, 642306618, 575657894, 636447964, 746614902, 326214147, 937651393, 205600090, 501649259, 264208458, 465982092, 693919450, 512784603, 573577874, 156264536, 275126165, 8275935, 462520164, 945226108, 686461680, 325651129, 472026850, 472384348, 7805562, 681110120, 820177657, 272556532, 842105703, 433736551, 581936143, 40740889, 111099756, 70835949, 222860785, 74433951, 423094029, 79671973, 230400767, 892234017, 273893231, 830738359, 494157140, 721231605, 500174465, 110797458, 723298910, 190892154, 756641766, 694554004, 540977295, 376513842, 35183184, 26220324, 355044804, 580228980, 431768358, 488319586, 768996392, 668080533, 989233701, 278925851, 259897757, 975362650, 352699276, 223707548, 265723509, 94493760, 878013939, 517427197, 501173554, 76772771, 615173959, 862407790, 941947685, 786188948, 787538055, 526082725, 405038957, 24177842, 396452139, 89368400, 571530493, 666527234, 341482633, 112322852, 916030106, 708565932, 963119891, 874245104, 630708149, 940032387, 329283066, 249566184, 118451624, 984914692, 727148914, 422242299, 119582340, 757183335, 926148392, 451722499, 274150693, 336713834, 722106735, 338784209, 915110058, 302394311, 526733133, 969472177, 732811116, 373488996, 431928003, 765226594, 724366017, 560255511, 516874130, 882920409, 443028183, 461282979, 698800800, 917285643, 707439597, 268302462, 737024400, 71825918, 158225008, 133529066, 478003726, 478094666, 730284609, 956086494, 159933664, 602170391, 989323918, 965104801, 35670433, 738269230, 594362728, 132739752, 715397181, 148548444, 411555774, 460253617, 196380562, 55993539, 521458552, 113840630, 536441264, 358831401, 824691444, 617873317, 263041019, 491031851, 85035413, 296321264, 703273562, 547025981, 323038547, 388915668, 322013892, 953479618, 573439790, 335705190, 635572740, 66192784, 799238090, 622503245, 487836844, 558379526, 20780752, 193391989, 237876989, 745865795, 175494231, 37555059, 902284383, 413907760, 65063961, 484257006, 358463236, 55737518, 771753689, 177012311, 159534726, 775001072, 276884918, 79065073, 146958408, 726361758, 49234455, 371574056, 553358761, 638187517, 225215064, 488875979, 721941009, 592344339, 916530741, 977711490, 836159214, 57970723, 634946090, 717105688, 338665225, 530782719, 217403247, 93254487, 278774973, 36049412, 45679997, 110102100, 354611918, 365760517, 960159472, 548650744, 230144312, 597541080, 66790925, 616045221, 656136972, 594075633, 635477741, 464282657, 78356072, 402673171, 363573539, 599303219, 782452454, 417651035, 960051638, 346987383, 399625267, 310362782, 599661617, 38351027, 922023422, 246507964, 134312677, 257147904, 770631258, 174000068, 861477341, 569564868, 671396827, 496784542, 988627087, 711065168, 438853866, 871960292, 547935579, 670358884, 17251125, 56764830, 828324579, 695089673, 251654631, 605213800, 47430822, 999019087, 632353996, 944757325, 428164488, 632733322, 329815669, 209536347, 168084310, 264871800, 959042984, 295319566, 690109179, 168695387, 479623191, 409922100, 10250415, 753899292, 927464901, 969460835, 633489737, 11215839, 370184481, 943846160, 16325015, 927721369, 152889009, 595697618, 42546141, 56761125, 348515622, 911185129, 160216482, 305212516, 924119457, 281989837, 160187903, 606172922, 296116151, 796195972, 206227094, 676233205, 312384875, 55961684, 315668903, 17850090, 638331588, 407705514, 143181071, 359468388, 589428767, 562825544, 890881884, 93109190, 52130843, 788496190, 800543848, 496509777, 57956870, 141776239, 382149247, 614226107, 858804715, 658907226, 785462462, 548283306, 868232142, 605287734, 858822345, 573456097, 911312540, 126468775, 811503140, 24308769, 935392938, 33322147, 446395840, 694797764, 382671669, 394126008, 271110076, 979918011, 599901870, 349272727, 722316178, 461401409, 561291837, 343789407, 821175965, 868782660, 292018996, 18770777, 493579927, 305361764, 323413259, 346363929, 601068274, 547311140, 771756668, 614885908, 940214310, 530250210, 912920480, 993934951, 6265973, 625114577, 921422450, 838952948, 445870429, 134244481, 128730168, 756722095, 309108109, 618419673, 660569067, 988769160, 996375062, 123541133, 768759054, 833369431, 37727092, 77449146, 115353629, 809189981, 791044226, 856354807, 307250188, 549545172, 882815954, 422739977, 217304884, 611834233, 637326925, 848223807, 616137335, 929940458, 589308292, 936230437, 844793931, 579390514, 677635113, 762245026, 73574120, 848959137, 103665135, 488931541, 246346405, 925805049, 405954587, 46282007, 664371372, 192759699, 465803988, 277638479, 585451385, 525374319, 538204347, 923719258, 158028742, 536932082, 659548293, 707474193, 782412812, 823260897, 527882541, 385184278, 847380141, 399561244, 83076117, 725285638, 678713145, 436271658, 873482751, 909628774, 875275874, 421418802, 856818560, 122238451, 57915934, 527277572, 251054110, 631939456, 235236476, 320186036, 524464085, 74439796, 522209249, 815757739, 381951287, 600062579, 749408051, 841315842, 936107146, 365828247, 491240285, 415608833, 426395217, 18212196, 785445792, 464838673, 537923817, 576191992, 84067833, 903729163, 443903021, 346668831, 176742942, 478237905, 703853709, 235772549, 845019388, 374522687, 555509340, 375096457, 95493065, 831289088, 291566018, 733191877, 861677507, 65327936, 822734920, 309909449, 568004012, 764740318, 557704095, 289566051, 124555032, 5276818, 334011482, 33275389, 328660940, 951788708, 219605694, 674990875, 79919695, 529947382, 492848129, 405049906, 916600465, 81917405, 699884596, 423939227, 192712924, 834851533, 955536764, 834248121, 658093102, 522228354, 628531249, 63948908, 910208642, 925652388, 608274854, 287684622, 354724678, 765008580, 563063053, 113382061, 397186080, 427560811, 607994863, 910811498, 831440682, 889761968, 179718466, 707816594, 829511056, 546589263, 167687745, 138923082, 54840422, 650520112, 491094799, 467384055, 536679183, 354110483, 216551143, 33891536, 766890654, 436731266, 402819561, 514760700, 6109064, 30449093, 816893322, 495290878, 51388847, 36663290, 31759515, 274054543, 419194230, 470091783, 49330406, 693541537, 845965013, 825290173, 180640972, 737245021, 443737210, 154951533, 308307527, 165588734, 845684564, 573884777, 486243976, 498837382, 19695713, 427428452, 898211281, 585453770, 386755330, 848528823, 593882392, 703146453, 484858322, 311317488, 472144423, 194838824, 279228642, 136753107, 68167459, 869213530, 217904147, 566051958, 47408775, 292123772, 89664772, 985043050, 363604069, 645790951, 287044443, 691189021, 463218398, 679338077, 583321243, 709726853, 231159648, 829564715, 951939330, 577870127, 829450703, 143445151, 454225399, 48709642, 785803277, 986252388, 77702624, 603236635, 671718115, 130442965, 99758170, 858719979, 517160968, 900099394, 878161626, 826437855, 998857845, 194643822, 505784954, 20046395, 511566279, 231709344, 811382068, 642411816, 832990484, 99659142, 506860531, 977017318, 948635753, 380586462, 707351879, 299956703, 736090327, 758301100, 600503646, 268707211, 626966846, 167772420, 203438442, 566464207, 124615836, 423170678, 682864572, 275371068, 22618705, 703273059, 417955042, 70032202, 118836433, 208538317, 812331708, 88353179, 781525001, 439052757, 283407064, 397982144, 334027532, 629628673, 270181054, 509930463, 177699464, 579301744, 434087723, 247272936, 701262604, 60397663, 214730500, 769062713, 932491874, 612781788, 841306808, 928659905, 875347768, 699394982, 292069721, 91596423, 346262425, 884653204, 973325796, 822978292, 663106873, 164468714, 942088715, 550759932, 98129688, 169108238, 430909857, 853785925, 512125390, 931203052, 192337154, 977976736, 785036092, 219087966, 100157614, 908880940, 409722092, 771688257, 218159873, 8418683, 697539260, 611610489, 78506401, 640193905, 814297941, 436410104, 276249243, 364452453, 230775087, 136349039, 957237297, 726885665, 526570856, 752139328, 80873387, 135672832, 301961042, 34087503, 16821881, 593909355, 889233415, 916088279, 623881534, 710995755, 489308471, 120937170, 437334406, 931458649, 227430100, 709098939, 183488405, 72792385, 502203471, 322436677, 700114741, 442690953, 854059166, 403913103, 573386399, 322532435, 638105124, 866323134, 931037233, 700681418, 386258889, 452867364, 376236469, 739418858, 549414863, 29858887, 249766817, 581214415, 721501897, 122293768, 121228552, 292908799, 607448196, 764305071, 825803539, 759907594, 315216832, 525328984, 79611459, 783564636, 666848587, 718736660, 273129423, 311663696, 505493731, 545441944, 934104720, 912920876, 643518317, 102552504, 832441239, 997897799, 47642648, 506343709, 217794004, 676144589, 302403049, 306800389, 265919820, 374863286, 273220066, 196692585, 568288050, 112454784, 704026112, 820737063, 823760411, 807087713, 327901149, 486377352, 652795015, 853411512, 182783965, 909507526, 180711925, 762077774, 303974940, 203323642, 775422546, 507225555, 662136865, 6738917, 154936523, 504108699, 20958011, 905729249, 82188064, 529635468, 720768542, 182996754, 793663921, 428965408, 523106349, 648545451, 930881627, 39924523, 40499957, 554110921, 626747808, 567688440, 312645270, 44584882, 620480486, 502327902, 130880488, 620694174, 965893733, 917464563, 740076884, 258254956, 591754722, 473387823, 411982919, 633737428, 956991853, 342183718, 900892530, 962770486, 237471627, 417388470, 378507098, 570508686, 417141838, 378666202, 44789741, 326855089, 113760620, 119455044, 10491243, 145111799, 114690467, 306931757, 108251931, 252300787, 352875816, 968155501, 801715414, 724573086, 506881303, 705016313, 618760624, 2416789, 15396409, 566454503, 436913796, 818599674, 30901323, 925320075, 678065624, 973970803, 739198382, 675031675, 441162590, 719588571, 563453196, 609395080, 164279981, 826553713, 524322494, 967791482, 163511391, 155213779, 475023217, 26329551, 543149877, 834875704, 606640152, 79701247, 678451866, 595437835, 612014995, 959194639, 884143074, 523234555, 638385722, 665968246, 131246719, 283321239, 213719862, 247678745, 318522884, 14856084, 932804288, 269631398, 759683945, 61153403, 67020659, 110591671, 222778250, 666831535, 910695203, 722881777, 675569715, 137781564, 505353374, 557187752, 512907190, 294716949, 250728925, 989955148, 325185107, 794853549, 584055546, 881890956, 968793289, 550051138, 756866792, 273078374, 891488987, 406091026, 748471644, 589282527, 191654326, 159956254, 564045290, 823284879, 647862112, 660848646, 509217824, 494192646, 364819699, 916608562, 296333716, 748999425, 653007519, 993327289, 848107309, 564628873, 513000711, 479927923, 364729177, 22769456, 642543168, 873594365, 733867788, 503719482, 92737775, 439027937, 513445878, 682265246, 624157218, 192278901, 471633060, 742825418, 332979678, 982231659, 659078827, 215832323, 568743257, 851158261, 999354081, 278318786, 457413033, 837061118, 509482394, 767761702, 731554703, 789576486, 915375469, 692022110, 690710623, 933149505, 304407096, 689557369, 237992824, 442354931, 743724327, 54676738, 102577570, 970589171, 123390121, 531616117, 439524589, 806755578, 559786799, 661387224, 353272419, 863567878, 127798719, 404097036, 986087101, 280768106, 656853789, 793720351, 583201899, 875520832, 51498595, 959286395, 812663540, 132863818, 791330060, 205025687, 602518044, 189529466, 977969980, 94459151, 668264168, 637356217, 67706140, 293582881, 413924389, 191252778, 925806627, 763512590, 452430745, 238319395, 328906275, 844157094, 743071706, 217647065, 996527116, 229661635, 953914586, 463040888, 310439782, 34433326, 858813859, 64121378, 317980396, 627508415, 796234098, 20323570, 623177083, 408423739, 742627246, 145536930, 100285974, 395063048, 783814233, 59467402, 19987039, 959073257, 472363783, 739392442, 503988848, 163779530, 451435659, 837897409, 103197842, 67765461, 60837715, 342876810, 336007185, 777874246, 706668982, 479055520, 447882505, 8809307, 212311978, 10790118, 970149578, 498546578, 245621590, 821518259, 805970582, 263706187, 803627053, 968150752, 385635497, 362458611, 43131100, 908553154, 867851531, 884619423, 591892310, 713587488, 988946601, 127263447, 539094416, 599276782, 659144169, 702979611, 346829331, 441795657, 792319818, 171961094, 236680694, 525793883, 285361908, 833667169, 34654606, 612526245, 218289644, 932342984, 99952837, 945238473, 654574515, 329139376, 682960113, 520829676, 955222381, 931424968, 157983956, 162273228, 717997769, 783444391, 999855926, 893547530, 437453422, 499281854, 732080113, 986995264, 167293382, 239047252, 665763039, 435221465, 277245023, 312767110, 766018110, 587157035, 840505126, 98280197, 229095385, 675163900, 7386852, 87532752, 635125709, 554474547, 525672296, 917970588, 11443414, 638444797, 598624820, 668969177, 23266974, 973495168, 628917669, 741409032, 51598815, 604430686, 367201030, 269361533, 566739145, 665547669, 115625420, 631881969, 509486220, 774728517, 321175506, 136168316, 192930065, 541352615, 511931163, 438682048, 748685529, 313799243, 753799194, 955659598, 974522431, 88081834, 476726915, 178816396, 132115938, 420611673, 207959146, 578338244, 576637748, 250817311, 864284931, 655161773, 211147056, 35843851, 490607515, 753801632, 64262206, 102684114, 826757904, 283276773, 341417563, 681424904, 381701499, 938313309, 36587205, 109445044, 778425006, 750868328, 506026555, 910628915, 224982426, 653669191, 9179817, 581634149, 571262118, 303300894, 638227844, 270317184, 269646356, 679171244, 197825918, 861892700, 625977139, 6964641, 778938995, 50794234, 364439226, 175506745, 396161332, 764831051, 937805853, 668596314, 620270267, 65761163, 703906482, 34366292, 122757229, 416082915, 479216585, 832702982, 509249038, 966179939, 590719850, 165470549, 250272954, 767655757, 282843884, 862295668, 438423906, 240909259, 730518851, 490142749, 326324831, 394592799, 964597993, 864465774, 129492586, 872778574, 179689726, 770941329, 608503950, 348866529, 837774257, 194919060, 9437885, 721964126, 490239775, 469135529, 130668593, 904552239, 840882231, 998143929, 88085817, 181961158, 836399841, 571429949, 429411492, 604995118, 311484928, 178749476, 12892435, 514750855, 981516258, 949803911, 975059858, 949915112, 737652963, 169425691, 271053765, 276104558, 164624188, 591889328, 320910312, 273825882, 158088149, 279159392, 830368972, 418551202, 373025015, 189031234, 958790222, 758915474, 63850957, 454008109, 504066675, 508679694, 392879675, 864080206, 987878667, 22867196, 50226211, 278868928, 990415267, 405471239, 335731803, 853778391, 576749734, 979725648, 879936160, 658209802, 640390398, 410208882, 85554768, 421481073, 872844757, 909136992, 212956724, 825346854, 905350239, 285971806, 976931990, 663337449, 203519690, 961769174, 796649615, 158806296, 742800165, 827694180, 26559346, 958855042, 363828870, 463724989, 278310912, 274910274, 843935868, 805371550, 186561279, 185728557, 219083659, 817920915, 925689206, 212941045, 432598650, 600652067, 842855656, 22473782, 834709449, 578422290, 137217753, 452347764, 554432756, 119419428, 152548376, 593347551, 493933735, 502778249, 791332232, 840776510, 679425959, 821962652, 731241492, 22619431, 695032010, 71989174, 306108483, 861121367, 217351283, 251272732, 840929824, 279563215, 485414665, 521027435, 749439297, 22715054, 132146450, 535376111, 172526378, 184845810, 515608665, 379409315, 941029934, 852139951, 44584496, 946225084, 878944783, 334324371, 590167450, 654412148, 945280025, 771403200, 833577166, 67885549, 162660784, 328930657, 125003699, 612776268, 684599673, 367425318, 571552556, 642247780, 811829084, 55221258, 687194453, 990087760, 270955382, 149604069, 200123651, 879935964, 572201045, 748222880, 383118578, 517393649, 392945652, 778813400, 913953875, 780615377, 305862597, 810668457, 822288939, 728877423, 457031254, 248116769, 78798857, 894724986, 341068877, 980585188, 776129605, 767281333, 144023823, 69504337, 845035941, 492657552, 73207814, 505706156, 243243239, 334636675, 954320202, 567389390, 482522287, 930180865, 825854078, 829201295, 422561313, 826496409, 28636623, 368731985, 314643282, 875965227, 111470736, 761904779, 274763716, 130221145, 784367923, 538596337, 250434430, 158870183, 303084754, 143392898, 80916499, 833083285, 166823857, 920070660, 954750241, 831258239, 469651847, 178088176, 809551418, 319300430, 682269008, 909800061, 800555957, 630565504, 639672756, 727330158, 709740431, 438176999, 843933686, 455695437, 859756389, 5796298, 349210376, 894660391, 741548284, 458030184, 536597890, 750439623, 255978424, 171882553, 981843785, 349136029, 207552884, 428463842, 551810216, 807699105, 30415878, 484221727, 595039453, 263773983, 581152495, 832525073, 672649455, 485934588, 775450896, 290393767, 964749709, 179105761, 769713492, 653011588, 114753059, 57318721, 68659613, 135190263, 913265154, 817631016, 871398952, 807934835, 130827051, 284319126, 455041596, 440228254, 882207953, 472199579, 175205383, 431268081, 859384541, 726407004, 492500884, 605654621, 459876512, 844100363, 905487650, 366438357, 506471258, 149287669, 905294375, 411501801, 450225560, 479709458, 620428096, 836275816, 511419759, 259301602, 383322415, 432341202, 215882916, 397770932, 850590997, 650275278, 756556649, 300310761, 764215704, 226846973, 95173446, 283717682, 648173109, 690668578, 917441398, 17575413, 474688732, 298029785, 86320917, 369502826, 542831356, 545743885, 841289350, 783511867, 527327846, 156174296, 486483286, 36026679, 274041628, 968031292, 583424107, 679163547, 141441347, 468092452, 383521958, 610815364, 501810038, 557610884, 57226197, 690978741, 991532447, 464239726, 233696478, 176080371, 872428102, 958904406, 18017326, 592098343, 822259426, 99856976, 755434751, 308345578, 479461278, 511024191, 630953252, 49894651, 811148529, 493733572, 398483170, 753137451, 393301757, 849963772, 52730059, 690140356, 195924384, 187202281, 784754781, 804322231, 754115370, 260067489, 334584715, 553382200, 443450573, 684006918, 425798640, 387581570, 483267611, 171882706, 731989510, 856138920, 587969594, 882782638, 236515097, 966105258, 600478312, 517969724, 414225879, 734737205, 539027569, 822745155, 219128590, 190980985, 198371222, 984987356, 207827629, 20992102, 376984638, 633721511, 693597091, 938791060, 895847790, 395174103, 931616637, 398331033, 965283552, 977406030, 829551037, 4801309, 496969418, 151679923, 697269379, 521883181, 8748408, 662993020, 441545392, 708581851, 49820919, 770905379, 366979386, 613130952, 363933976, 935224248, 80417773, 393026022, 16261872, 749740606, 515159234, 242529245, 233892468, 50482462, 122657218, 448795102, 723477682, 140546591, 947617519, 233651019, 438655273, 276397493, 153636131, 195520379, 940748516, 113038492, 222097702, 382345631, 35037906, 410895532, 473989488, 850830014, 129126315, 707855026, 34619546, 759878935, 820898811, 549323815, 259699173, 812058432, 650250511, 690052964, 701272419, 376111281, 55541672, 741953212, 483413668, 633077554, 972648667, 865182641, 586515671, 936083819, 404205594, 970427750, 620048749, 208439677, 528291855, 314645759, 498195048, 971044479, 377160636, 546143046, 98395227, 542103117, 493094396, 514047993, 428127320, 443932175, 564281082, 674704577, 971169262, 907793536, 399206981, 704775057, 585054038, 484856348, 612956160, 816132067, 819747858, 592919646, 5989927, 687420466, 462707753, 300985703, 806360371, 227898719, 873183093, 434168614, 811563798, 365865146, 318193608, 513842346, 452483811, 368956459, 347347378, 633595364, 6228494, 470759808, 983908225, 125321019, 741814485, 579434226, 208901377, 127253749, 817583353, 878098151, 34823705, 939879626, 137558661, 997758135, 672937874, 350210433, 156713066, 500651344, 89712970, 272598786, 112722209, 682176197, 481002139, 124156775, 954019919, 628654348, 636534296, 657702623, 425090392, 590647014, 865436448, 854422117, 279055881, 896413338, 303678613, 606872378, 575811142, 14097120, 42389412, 27195835, 911809632, 178760679, 388070636, 294349849, 333483026, 467201658, 75452699, 633779876, 477296949, 841093876, 705982463, 951864769, 294045877, 128580108, 968141302, 668126894, 465398028, 481547690, 730140753, 795022015, 9366052, 617001291, 161315906, 761532055, 198073595, 770611033, 761962841, 245670878, 960405086, 34891917, 904729273, 323990374, 390600661, 348930325, 76891711, 742303021, 760813398, 684649067, 980679238, 576483132, 967510002, 672872695, 899094652, 633653806, 808412089, 325357936, 191770420, 30363877, 965473326, 750046900, 957060149, 699928340, 656961759, 206884064, 654446689, 251858829, 54794110, 61748494, 483806899, 86028853, 3654578, 133969311, 433688323, 175647327, 520129763, 43729573, 982455008, 150277621, 183259202, 359204421, 920415229, 422617454, 252714444, 922450343, 633399289, 618142280, 82897951, 216752840, 913327223, 644649938, 104264293, 747394016, 884144496, 942862075, 696323425, 567615652, 397812061, 909616852, 730520162, 142923116, 361162411, 261861688, 56604923, 472035997, 936016743, 916841452, 565385271, 185409964, 396383179, 223487609, 239261136, 369586962, 934072282, 587615126, 329627509, 875212266, 235743164, 611131605, 477271146, 569169619, 231884176, 606129556, 134695630, 41570614, 359774355, 427240724, 722841406, 664995741, 785739428, 97804284, 575353740, 677956140, 984983602, 780542193, 762736347, 590956742, 580031933, 815082539, 370262625, 873156641, 777787875, 345783474, 507090547, 470094980, 203166988, 373961021, 566585441, 168828915, 107495946, 108075973, 816739055, 467994824, 438217653, 524648042, 237699748, 971252258, 629811137, 478352669, 679032509, 160448957, 810778900, 860949063, 41460396, 624452737, 291360350, 538371758, 145314417, 340783257, 639853270, 895596034, 80203845, 408760529, 867609298, 856309936, 765902062, 607247061, 695804953, 154083131, 256682593, 122967500, 34357695, 105710732, 278211725, 511598862, 689716131, 805316414, 526239088, 590120308, 497162397, 849835778, 713939659, 27706041, 305521914, 26854282, 698123545, 794683886, 760497071, 489774239, 53651399, 632998730, 631135611, 184719597, 188733914, 943863901, 358815477, 390081470, 702972398, 659274012, 113317461, 538492171, 284936815, 891754318, 779397322, 857726401, 56830393, 819326574, 355010624, 575754637, 284235991, 319570823, 573079211, 925311383, 355422574, 783090816, 466518536, 449181912, 918722066, 800244365, 339532352, 210364560, 141037114, 529501605, 216631180, 189442294, 419639916, 435002054, 792537938, 212043895, 488532420, 865053162, 906716420, 604137240, 175238897, 884658828, 961582792, 174714252, 432326132, 966571022, 935935429, 33828041, 852041882, 291608219, 774602687, 104072000, 947708990, 828447272, 350100855, 614107629, 905097788, 228043542, 833693784, 353979751, 766338135, 967883999, 78676913, 621883883, 216122238, 555852941, 699967727, 222023318, 776477859, 263606807, 964911173, 796277376, 390322286, 333874821, 418977676, 483662934, 821437853, 695553193, 942989832, 941767318, 641716502, 280054820, 597471705, 931030912, 552152359, 7357720, 637331234, 523159970, 333440956, 982067427, 194573339, 906205346, 513054944, 737467506, 817797046, 446009807, 863240725, 914878502, 723839775, 229084213, 153017569, 210700057, 33715509, 115546036, 25932320, 636721632, 419311347, 860255925, 584555773, 994507746, 885066880, 318734714, 684931715, 372742357, 832045796, 802107415, 268872606, 859744178, 66300388, 555071293, 219119569, 309556522, 657431594, 658631874, 929176600, 970860260, 398012950, 86346441, 262872419, 283925630, 270983892, 449749279, 620220112, 729890999, 291234825, 518709535, 931323992, 106056154, 761945077, 395270459, 445890684, 6871582, 434796824, 81635923, 223940424, 589611770, 60594576, 335554954, 61272695, 148457394, 309559207, 949759811, 213823302, 851297001, 924337403, 365970618, 386436212, 855151715, 706867443, 396884616, 164738468, 539187743, 326010419, 618438310, 175474676, 262603254, 833676476, 696091586, 309683748, 471819350, 104085709, 673510858, 298154793, 545051353, 462245510, 498384487, 175993990, 442883331, 825913798, 281836603, 40901168, 196538300, 14559273, 683253860, 938317469, 369653247, 840213449, 994312428, 295805110, 344010286, 778222995, 747459484, 765163099, 398251475, 2764359, 906231392, 841374732, 902466732, 512331108, 594270891, 317593010, 722477700, 490177837, 226231433, 498975971, 492152800, 122851047, 255127276, 729926868, 311904649, 742362298, 479088109, 889329059, 369651773, 216677683, 852744732, 550654743, 897909975, 50056430, 976578042, 898306519, 732550073, 589531444, 972509850, 326285011, 555771132, 810209296, 447473278, 285792660, 930666322, 782691714, 115388437, 881825021, 923263919, 137217030, 81055805, 552641347, 917408609, 386148707, 929471501, 321607599, 84029617, 161605610, 87752417, 606038575, 611323561, 480685096, 832269135, 723109667, 578628205, 133988708, 263791081, 364300926, 281974026, 268551029, 972204889, 820291250, 583981374, 622444915, 959697889, 12643166, 737857547, 44764333, 378503240, 502986041, 784702412, 285816657, 384231906, 722320791, 411774531, 722353803, 657159196, 117070836, 944546899, 717425608, 549472494, 960518429, 14898641, 679327424, 265638529, 454057009, 371206389, 961197520, 287552688, 392118032, 4883898, 112592411, 24951202, 411349641, 637556859, 425267309, 821515495, 676752805, 236781346, 438328380, 366884663, 983016445, 551260607, 567042811, 816893785, 296720208, 424867086, 394723147, 229494697, 984769025, 998070159, 540644571, 638829724, 294255191, 18284747, 820491441, 491755562, 999311965, 214763565, 242744425, 904251993, 385140749, 865252875, 72533987, 662473874, 486855925, 407888231, 592945573, 506964279, 508655557, 768341643, 263217881, 89322541, 664291514, 823863881, 232781, 403837898, 87532616, 539704332, 12522299, 649362100, 285770831, 673868849, 604201049, 2708235, 262428793, 948930235, 273657867, 956044062, 846999808, 97034182, 937751387, 552877003, 596711476, 638755010, 859942609, 922050100, 659006385, 803239564, 617242043, 815199422, 128967492, 660051357, 95206958, 302447176, 343264510, 998569124, 466324446, 377847954, 450549466, 622984326, 86555242, 364514768, 933257282, 858764124, 857590707, 732799059, 927282076, 399646349, 613301035, 754123974, 944041265, 549973193, 563996227, 917666883, 386812758, 796559134, 552726402, 718809059, 524156786, 106683123, 793305498, 720151957, 837567831, 941307088, 250723791, 396393864, 872007441, 351962262, 614192063, 415866742, 296372192, 969765167, 720177557, 352915219, 796930970, 8617327, 201387534, 379949883, 49609947, 424451997, 722636357, 107089626, 186472168, 734829552, 733214426, 774210902, 681287227, 387052438, 668400535, 261726265, 671690029, 403785700, 207655674, 851554383, 996638653, 313947906, 503714724, 83405367, 923462367, 580977380, 566734190, 136741266, 681715905, 48941474, 800870658, 938066308, 138222969, 241251062, 954209998, 61019611, 512981133, 499797894, 681749780, 648471619, 803133417, 63808241, 185890599, 548518720, 741217472, 811019279, 676097245, 746738089, 589086059, 73827457, 640275009, 842560223, 828700160, 693265947, 214282394, 54418960, 60368956, 423462634, 610142053, 840322604, 80325594, 526742330, 341576748, 567585106, 420677448, 719731488, 976674705, 394791953, 462383265, 356181372, 290662478, 748598942, 943203473, 727084264, 442445364, 336776153, 854944937, 716042639, 671691429, 750535783, 245140257, 791099968, 571246774, 599180406, 530190239, 884033307, 698605572, 933605655, 42335382, 545709297, 939679238, 164532253, 915067051, 761003800, 108113478, 104990914, 931660058, 89576232, 391052029, 210468173, 670646264, 434310475, 952897229, 224806560, 222986884, 849690455, 813906271, 548942464, 112871517, 513753228, 781398003, 321538135, 295100041, 638097686, 425679185, 235065810, 849484443, 484056076, 777231276, 765778463, 367558028, 186173140, 125505844, 272099644, 994815320, 472934083, 990474216, 314525737, 253226850, 822167898, 404356770, 499070865, 92766678, 523281194, 258812723, 609387891, 693966027, 817442119, 798654910, 698552539, 464366030, 397418498, 929421026, 742466873, 985742834, 136860193, 805846709, 697483484, 414296276, 179328687, 530977974, 696798347, 926342244, 987934313, 183872911, 489184921, 388415639, 611537587, 616305461, 316397924, 124811265, 562495894, 279282102, 894616789, 585753144, 972743160, 780888287, 490620340, 722044660, 471435976, 566270748, 824816264, 978547594, 739746547, 960265796, 905813453, 861041090, 290481247, 974647477, 234275258, 406176655, 812357528, 332526181, 403281791, 759584031, 314075622, 570478528, 44832735, 794934941, 322043288, 645724774, 143818744, 756413916, 7776126, 809190208, 77193308, 325356732, 588486959, 279093409, 367798911, 888709348, 852555214, 912086750, 389773058, 13204754, 569841391, 605876888, 569442891, 83631956, 401137297, 938554274, 28334601, 775367805, 905929070, 466535994, 795502922, 828901959, 931363130, 664806379, 447220211, 797271066, 387611948, 392874921, 955637897, 157753454, 749163898, 979944120, 261694802, 951460161, 97249705, 497009367, 56302400, 708048139, 496614643, 59556103, 254047389, 57999747, 711175364, 42392900, 763078862, 355052725, 758759122, 72719546, 659363019, 497376738, 730709015, 391566232, 56332878, 923069625, 514604751, 597876220, 127074870, 185924719, 198561236, 679720441, 752432147, 924025949, 345465373, 934390687, 867746166, 630474530, 434630079, 218440004, 21824737, 599259976, 961363252, 398344214, 199677645, 945019413, 240914342, 489844621, 886995255, 367900278, 103570734, 373362189, 531465061, 133503009, 953586097, 988486603, 179292626, 490612826, 162616071, 737477974, 735604607, 907375240, 852800614, 193311382, 792151422, 526853936, 873605146, 516218244, 520818037, 559624625, 916582103, 384226624, 187463441, 753367726, 901268768, 531496085, 788278005, 851150411, 388488237, 508394591, 79293494, 872148651, 670305597, 946797271, 586541005, 440592801, 708448533, 518538843, 764833273, 804384722, 845084219, 754417683, 568653535, 192866086, 663798935, 59903643, 957806300, 134799742, 405259946, 878098442, 505230758, 361131357, 989607415, 862433566, 616711722, 663278209, 577556286, 697780506, 802391572, 878816387, 907597556, 342680066, 363160773, 570116807, 859887511, 967545467, 748406833, 745951985, 469448976, 461240296, 600424983, 539157184, 189940643, 515984268, 252879045, 273108200, 485211722, 56597135, 566193671, 653470761, 508193430, 164238202, 601339648, 972694408, 156372739, 579221273, 437669543, 66928754, 658099380, 339769261, 61199967, 992420677, 180141981, 579727546, 372625060, 893614826, 978140084, 108754822, 625977969, 120855919, 858583275, 210301372, 75765574, 799981265, 946659739, 312173750, 705014954, 345786761, 455959124, 683848837, 375075746, 522944837, 262678737, 154369069, 1932397, 47629132, 317369897, 891543789, 664682444, 589167109, 435268586, 762869958, 17818710, 411088516, 934001886, 979165516, 282732512, 842246650, 993340850, 765425655, 724804372, 886746082, 751827670, 353071356, 431048081, 389815687, 512764227, 904988474, 61378335, 799552355, 554357712, 503619173, 618324717, 305713871, 969228173, 8971801, 315780447, 593087085, 46082320, 569857061, 448123052, 71240306, 60079330, 958872018, 677413172, 215903261, 550548849, 496138400, 698585358, 316917204, 334406884, 706566408, 461931047, 159940101, 810112699, 770360568, 234304677, 628994578, 84884633, 831492234, 41824528, 344231990, 341716178, 334146947, 968411162, 959042899, 518922281, 43195485, 670575844, 469854356, 502097074, 103116892, 894314474, 900852041, 159816184, 183904483, 996918418, 647873817, 603415973, 651736262, 802134685, 464548165, 668414206, 223263759, 219937482, 74266175, 703690050, 550268367, 675859109, 619558211, 539879687, 331984098, 334896150, 254264418, 954906023, 436369613, 644734969, 7952555, 323748106, 444453808, 489120966, 205504540, 371785160, 962621321, 314572748, 158443756, 551139381, 539092408, 535157151, 453095133, 191986808, 139927512, 415532646, 578269353, 786938330, 133867599, 112291463, 501971306, 112572791, 271482219, 426477566, 334957912, 731604744, 283123620, 624530577, 145754527, 414463439, 835762552, 569253204, 647021417, 899611019, 648139483, 783546271, 722905929, 406870660, 220177151, 257115156, 989677424, 638564669, 794084726, 163248205, 494811602, 485359753, 878178186, 905114050, 237505183, 413421504, 630267926, 308994482, 52808018, 713243187, 886124452, 375251636, 414226073, 40309713, 470177119, 557420156, 58370453, 426761388, 814100151, 217594056, 768130432, 709256511, 936804933, 812388850, 473934854, 694624081, 250368687, 55473314, 320914611, 346005728, 980124676, 196710866, 495497961, 316320903, 222841387, 200414894, 361871595, 570676266, 951820647, 232363225, 646297520, 659833850, 239985993, 302264576, 177292934, 565641901, 275425144, 962329430, 695027910, 91654031, 119851400, 159195441, 161557392, 387833074, 983930143, 718526330, 974397906, 991245105, 464544522, 510965658, 660361392, 690958748, 794563892, 740799425, 484560525, 4975228, 890130447, 850649030, 973278645, 883604377, 943514809, 422394729, 474644286, 188600423, 909994864, 387985365, 836100452, 980216127, 35184911, 89584203, 41284190, 809588584, 392834609, 406053847, 262945161, 368719118, 689543145, 723313341, 594833771, 854113230, 801962759, 924263868, 179516333, 689370038, 619129435, 463288876, 940310939, 850205608, 294426239, 410434640, 255788608, 202280852, 979943287, 413416606, 670548431, 601842811, 297768388, 593535978, 412553773, 387847945, 696058314, 120000101, 160892382, 249870248, 817268310, 352648107, 603015120, 200726343, 757294834, 488465117, 877828288, 193027225, 816160229, 918698090, 877723588, 830661574, 947067086, 487237879, 412602533, 599087470, 586968550, 625614989, 976783116, 27669499, 925968038, 577413827, 628904109, 865419653, 985824032, 417314997, 388736640, 282237953, 181721274, 506660923, 934852039, 394830638, 676881626, 591829351, 316281968, 676580215, 934774637, 837844194, 250307987, 536586006, 319945492, 242190462, 854670927, 389609116, 435859088, 54306686, 182899514, 347404925, 404709504, 601291171, 273157726, 928901958, 380439931, 84392595, 728179056, 147307391, 748173702, 105978490, 824260486, 606222038, 230908235, 507853113, 374022223, 138039267, 379039132, 268494881, 682465295, 118179462, 445033808, 207036343, 945707873, 653283208, 701420, 32979493, 554651617, 723606642, 538038442, 802908060, 534120775, 662254246, 767375862, 459533641, 313612339, 55572160, 368357473, 595196330, 176527275, 526779516, 770398183, 929915984, 359308751, 341583644, 557120741, 539272575, 835866461, 642111893, 95934015, 782705810, 843133868, 931728013, 254937444, 866949171, 590256782, 725184175, 507028199, 914095705, 802593991, 245221950, 844617518, 583681378, 226022250, 297999574, 456146036, 568404957, 754243669, 351863031, 760727938, 140551108, 436342057, 134058670, 22778186, 810164820, 343319659, 71377554, 144972039, 316964560, 338607310, 839478251, 338370840, 611782131, 658871924, 797845843, 296296199, 321092285, 875646346, 510332912, 789545552, 686387788, 833358684, 61401878, 685550006, 499742443, 504455074, 30710842, 65989194, 697636528, 577552338, 351416185, 112366516, 685074539, 526585281, 108019800, 603606439, 398630793, 716404250, 112927684, 787789448, 608187924, 752243255, 860666686, 994180153, 216737475, 166810229, 607926265, 285228604, 356003135, 686409319, 324755593, 638362380, 327146865, 423303343, 839097067, 995275294, 794019411, 715047648, 259778943, 778412581, 532066866, 655613924, 610464553, 200879679, 213449908, 902813096, 657405833, 243672469, 713663871, 646042560, 768234283, 38657351, 881307265, 581846181, 1194837, 724116728, 426260600, 580201212, 579594214, 982488008, 941639829, 530600100, 656407930, 506200392, 507911364, 313639085, 429685755, 99490968, 240441659, 964709950, 186469766, 667489, 849569187, 846920699, 388249274, 219981868, 167083871, 335665084, 799592699, 507230387, 209591964, 447741012, 117728935, 231283373, 250299824, 565693581, 498780095, 926751486, 593973994, 667245156, 125018511, 287500832, 485003355, 519181311, 585439586, 751412067, 583729669, 347020779, 144517951, 541927388, 8976695, 966831212, 610478203, 671208605, 192406388, 52371145, 995764314, 700861945, 265776751, 223697058, 391512192, 940847903, 629210334, 498355621, 116921497, 281825305, 118912899, 71504280, 842293733, 741408152, 963656941, 756614071, 724243497, 583417533, 985223564, 211271657, 700745312, 574406665, 187503581, 155868548, 756413655, 887372007, 215345000, 513372428, 547237403, 193670815, 365162818, 25689577, 963517278, 564696413, 670258591, 825140395, 611919805, 189767611, 226843709, 82106259, 158348193, 284281044, 836891674, 195677744, 81146603, 900031102, 340536360, 825245509, 61875865, 24976904, 525032746, 464538035, 168859021, 5253876, 781683986, 975622472, 476142016, 429003333, 504460684, 636174451, 87732818, 349002446, 921100371, 698482495, 82638598, 256185424, 715666019, 996006851, 75736575, 269192115, 868392192, 742569718, 852200546, 81338158, 318387291, 511322034, 456630312, 930531977, 849413002, 756603499, 837111241, 774741060, 677776139, 112240494, 256370949, 921919692, 476101483, 284462102, 176740877, 481263366, 154261008, 631089872, 22426236, 192013105, 287675435, 958214780, 663778953, 515106458, 502558378, 436831035, 867614321, 912100958, 624183560, 21848125, 564694168, 930036774, 581350659, 495395489, 161621939, 816030100, 48020324, 603822551, 899301731, 597292237, 220944366, 872995943, 555046389, 699855543, 949833631, 510955891, 170328831, 959114800, 244371862, 870046704, 807787720, 293926675, 155557956, 416250671, 939843133, 202631677, 123983523, 268053880, 274964110, 495411284, 418559713, 855373173, 753859992, 741789692, 663827225, 679872007, 154369040, 882183665, 849463056, 482392694, 852752099, 308404077, 758494431, 979191618, 306856633, 440723308, 229918791, 518583705, 402544924, 357665724, 777091753, 93701372, 794782341, 179290858, 450619505, 774441643, 182837969, 583388944, 807270143, 179331156, 164307532, 120385381, 403675468, 188971425, 96686328, 30676204, 600749118, 662245870, 656634224, 200781149, 927859499, 476063090, 140035651, 506460728, 183904040, 889657059, 910883559, 974219083, 828687641, 235264056, 652658202, 812386303, 909375772, 264082892, 67400816, 110103142, 627388424, 9119544, 166512409, 734759070, 304730875, 303609215, 587148515, 644272817, 405507746, 389837295, 538026175, 352934206, 356541679, 66233068, 92984368, 185057855, 41162295, 660723986, 69911455, 959136456, 644817879, 339604125, 915527276, 115260813, 24734560, 678416148, 399550475, 802110870, 861183443, 949690083, 989383391, 726905705, 333691155, 892336500, 134987850, 140049604, 108818016, 959038740, 502124659, 972194563, 979040303, 146371198, 610978133, 953640991, 48689143, 489584557, 178298253, 14151795, 778646568, 204051352, 709419780, 976818193, 344671654, 676066647, 787799296, 975941793, 28226348, 72144130, 395027402, 393872797, 574698018, 575864379, 538024997, 220031105, 244014619, 832700112, 493643062, 250912016, 483372239, 893517567, 360806162, 676042004, 432381047, 712324969, 568122308, 810001484, 820306000, 550686506, 758846219, 487209294, 147190730, 632518840, 481636198, 154528739, 156628209, 440935704, 632325171, 490032030, 460447179, 30559327, 699272373, 424458230, 63040552, 233681173, 632838827, 967073057, 505265606, 677765657, 429033922, 679469304, 468405202, 574402831, 419150830, 460999301, 629986801, 856991174, 486829970, 141736206, 827158052, 290077018, 289752770, 533428486, 264474724, 809489780, 518223420, 846693426, 284635790, 171434074, 733665808, 542331970, 850343871, 478553060, 791655681, 835912982, 508612241, 185510916, 641385212, 366933385, 103815404, 416972346, 721604448, 910636835, 46616831, 64536639, 953789269, 424400047, 722422212, 916189094, 428558205, 38860125, 957705234, 708037860, 491511604, 761045167, 109979314, 670307346, 454989889, 171650330, 564692364, 280306803, 418709819, 137875667, 342030048, 229367152, 149120049, 501718429, 33831039, 506580859, 952853273, 929724643, 145058205, 934461306, 22423321, 249488177, 870968334, 688902745, 612277208, 396146631, 470195023, 770832369, 212653200, 74176796, 368273873, 161898549, 690475854, 839855339, 498084105, 621405520, 217360716, 372215960, 919851856, 63174563, 662487135, 367268789, 50129130, 387037923, 480977403, 260227256, 731179737, 804578246, 972236660, 17783449, 879809581, 713907094, 104747130, 841525181, 224986061, 810501101, 948385464, 901738545, 672641988, 565067218, 810612010, 711500682, 186640645, 511933045, 408335877, 695811672, 280711254, 691415576, 938378229, 634843296, 886312030, 436029567, 610139166, 506987121, 258795039, 211454350, 514500975, 906376134, 267253159, 813354546, 886754846, 595669412, 382945381, 418941655, 833568736, 573119539, 238761165, 700009996, 984594784, 18845703, 34561892, 534356968, 158502379, 88702501, 572499964, 181267077, 94709473, 133139866, 923193180, 712314096, 254120230, 245058981, 133342451, 861453434, 603754123, 318528569, 503504253, 523209062, 345972302, 558142250, 450337033, 84089248, 356417917, 82994929, 399397684, 300945663, 691227340, 113423128, 264733736, 887143386, 132275156, 900852156, 345172505, 785737662, 329442469, 905218181, 591326656, 903103463, 328396309, 242327075, 931769756, 640253689, 373480107, 139412350, 926531359, 265492926, 833627124, 272831272, 853389730, 513445221, 1083346, 42816399, 32880107, 450530462, 383586345, 664051344, 25821752, 400354820, 663027080, 339372648, 740168775, 425312513, 655191119, 682605126, 389436614, 952854995, 769091326, 710729549, 369037303, 38695168, 150473237, 274250503, 500285072, 350558561, 393953017, 402075170, 789300753, 514993484, 345301010, 953143676, 389133399, 107789759, 881596862, 112238186, 181343293, 924831285, 49281199, 632592620, 158095034, 893863227, 839310784, 362464046, 655773048, 50079996, 175112238, 442878970, 125160968, 156850834, 344979195, 480777122, 708832936, 433513978, 775297917, 222736147, 853224447, 103387810, 985213480, 691082501, 241330695, 817424227, 662649345, 679517422, 555067904, 148359905, 719997440, 848400644, 976553663, 444451710, 447409797, 672319064, 770882174, 906486338, 307044604, 594830345, 227346800, 92137219, 676048349, 66369241, 852351550, 799987348, 86167374, 611772364, 926842479, 17141979, 51444996, 151385823, 715360328, 568934839, 92890082, 165849915, 866435016, 448231458, 791707869, 157879270, 687208620, 317622211, 586096249, 595863012, 838681272, 146773905, 412052187, 134776613, 518239280, 55723686, 206532512, 801428806, 368436552, 998121702, 791740334, 103467128, 24521703, 563028423, 931245924, 618541461, 241515132, 433440179, 325705698, 594512658, 687343628, 261523587, 554090248, 179731704, 249136034, 639881113, 427969142, 828488849, 251262875, 990829092, 512759032, 177221410, 485324910, 247674333, 789414142, 697572706, 547477822, 420690378, 224665220, 510905314, 776830129, 942087061, 22293421, 687092476, 647412509, 475201343, 794474071, 631368484, 532702089, 623877233, 23320229, 463491761, 997355758, 315270126, 561938481, 473827980, 676202987, 682999697, 643667190, 928667813, 413308059, 109129679, 240399566, 303786633, 21242048, 701653363, 628255087, 589380695, 970619062, 567622777, 498929707, 391786289, 120872345, 953825468, 178697409, 180706907, 103108761, 914847987, 891776452, 764962593, 290207687, 973578085, 397995109, 310447090, 149935340, 533652285, 545861260, 472324674, 792481982, 782720842, 943216484, 871199018, 367121275, 498206727, 133375414, 921176830, 169657730, 204047610, 895788829, 25245392, 196507033, 402978710, 532307792, 246581599, 619639777, 977683775, 351965387, 944747563, 892768094, 332182077, 305097613, 764922091, 699626423, 883694056, 114218404, 499347017, 48343851, 454321315, 938317708, 874743528, 414202812, 432531817, 996502035, 111894910, 621011237, 821140869, 246896833, 361704938, 927646394, 384823902, 80615493, 585160186, 778004616, 770121707, 515651099, 218054173, 67604229, 168657039, 388051413, 791606017, 716016852, 255284347, 951556050, 424024570, 536446051, 485337530, 619147274, 232383920, 451656243, 327224282, 658300683, 134923492, 118503889, 88709321, 576312939, 362720008, 154979174, 866195828, 44557524, 343772391, 467427385, 463157453, 567221328, 50259238, 256626825, 908461889, 856014399, 888671571, 986100554, 792517767, 705561226, 658919579, 11648289, 105838993, 179388303, 377957652, 92716195, 891556069, 175153150, 322508867, 471772642, 297442455, 186432210, 977148835, 802934790, 193686272, 367206893, 693522728, 755277403, 506990944, 990043328, 262348022, 848238682, 426331918, 221016101, 763521620, 792326270, 729030620, 463621173, 625429167, 502373169, 361042224, 361303993, 85556684, 354677242, 698050116, 987066419, 300436851, 500058453, 118118312, 534854497, 396539753, 86469022, 413496464, 570461401, 828540998, 713945669, 539291484, 517820579, 509272202, 544622201, 928524402, 269694940, 932484981, 566257689, 173210067, 955787170, 67157565, 581031594, 811900638, 586839078, 339468890, 515099470, 242485208, 824353508, 986183975, 255872684, 742036283, 546249310, 939530200, 946415828, 465252525, 227516877, 348781836, 638320049, 869840678, 392281551, 727547485, 726520252, 925065447, 391896874, 945067143, 626528808, 463391501, 39956033, 399416140, 792047759, 189183408, 223108090, 577419666, 188886490, 409314372, 344739709, 91842682, 802660577, 775385922, 585907193, 173670578, 442785603, 339943873, 725004801, 745078031, 485678433, 337698141, 147044095, 616979992, 872825833, 412038078, 785708293, 369183324, 724710034, 47783561, 672767096, 543267225, 923524173, 765964990, 382464210, 264061885, 540875496, 434451230, 30586776, 756418148, 80043325, 449063426, 709401689, 444575640, 247407390, 28980203, 771115960, 30107921, 772252249, 846775980, 819004021, 676221381, 478470256, 703337569, 209156355, 541695803, 269639210, 505451560, 555395133, 635800952, 235995615, 790852180, 87324308, 382998712, 594511060, 891707440, 190396687, 176596908, 43156633, 941954410, 648400988, 922583347, 114767362, 945546002, 314813137, 13005418, 478495844, 422601859, 837013936, 482365461, 977488859, 823289449, 198806996, 882632843, 452464798, 178242855, 277193015, 287740621, 219725053, 480087204, 852465188, 836342315, 858049576, 931068591, 242628187, 804452383, 379457474, 415349151, 34134877, 75525069, 883484808, 770930294, 103699448, 225148477, 860126035, 530205962, 896105485, 893585601, 149446642, 579246069, 657233871, 659241552, 314344696, 353997273, 266178639, 33890620, 622815764, 192872543, 176848281, 825968276, 656335882, 260275325, 196563879, 79708479, 698323720, 230781939, 568052089, 875190194, 839714946, 8271146, 497432465, 133297543, 248922555, 400973094, 474882865, 324042463, 714439939, 804994151, 76220808, 37259698, 733059336, 520533796, 437097754, 795386139, 922586058, 239423412, 542722559, 524284603, 448889212, 963669499, 693547942, 618989640, 300376980, 471944681, 872437016, 607328568, 689862877, 124588470, 510073941, 679932744, 871989319, 720087774, 456013189, 158761481, 107755167, 777484687, 952528269, 484906621, 73029698, 825833843, 893572445, 716610155, 685080223, 819207557, 55487669, 371022081, 957075576, 206901571, 128995626, 473408054, 170213467, 41859960, 153983680, 410983926, 282980694, 929205508, 755523825, 280602845, 462896114, 690331456, 61544344, 873908359, 567498314, 727506942, 877234580, 803580141, 366006584, 440399415, 811255390, 419562144, 685640372, 753520228, 739046441, 863913911, 522318220, 383725776, 922705083, 135128764, 123307110, 95678323, 671206121, 480326273, 817961646, 352946656, 683373929, 613342425, 982493079, 208124636, 357262010, 39908237, 704626811, 472249052, 58786907, 444260276, 841677020, 40282331, 111642996, 497822646, 891845811, 77155903, 174839970, 285907120, 867652085, 977183814, 50166451, 537129325, 360557594, 30589204, 191517878, 728178150, 45774327, 358398763, 217651242, 279650020, 960242923, 564023353, 604478452, 264898023, 701263051, 482765319, 517073597, 312169125, 980681078, 946245793, 460498969, 541007327, 763764596, 369828957, 111146985, 675455423, 428592252, 576619190, 773311791, 206889353, 1858521, 629550396, 576164047, 994284256, 877643220, 116186676, 550340145, 632651028, 962709771, 324695728, 184419501, 65132283, 399391901, 886632022, 489068778, 907708960, 857079288, 509314508, 767693237, 962143335, 513923425, 172341046, 431372955, 176499864, 616384639, 643731481, 659508590, 278830990, 177290528, 598169567, 474576583, 774740257, 43461888, 215929927, 27839118, 737403200, 549313680, 401571084, 802731273, 52439810, 639416391, 247800509, 586960320, 145335884, 553050034, 504033443, 789279436, 207527954, 972812852, 398447149, 470087868, 910477183, 706075787, 845297024, 604393848, 511675477, 153243637, 172964335, 836686006, 766775813, 17969507, 624329194, 28640917, 795472736, 345797014, 536946009, 437203843, 542990698, 235123816, 219389445, 946191066, 530003724, 825049178, 883782320, 233139128, 747664920, 159131373, 218058481, 501498126, 480628427, 377744906, 360017490, 4599842, 763699440, 612199955, 507017155, 580517880, 195041880, 581655641, 417569233, 691342521, 795537087, 817436904, 83464536, 402207893, 48526753, 641626766, 783378967, 486666582, 573904754, 837811313, 426843753, 685948879, 849589385, 100734396, 701788250, 316236400, 624157031, 595728406, 182603686, 739976280, 52013139, 180497979, 235256275, 83968124, 780257230, 755889544, 580154480, 896340973, 505643332, 220421801, 970195177, 821188353, 925809722, 603121721, 775563878, 408645271, 637195277, 531996986, 131951884, 188234394, 543644842, 323841614, 4669286, 458891516, 785549304, 860488210, 529090837, 61591599, 978989798, 64128009, 580438561, 434617, 549941087, 500739301, 546865034, 564938155, 655329200, 306673431, 551802106, 183974247, 402611875, 454079597, 683836713, 173660424, 208096617, 670700095, 301105128, 428209056, 23269986, 820836390, 306464030, 700065088, 529546486, 511913502, 86039739, 874202823, 232839817, 686925845, 536565574, 913600253, 655562178, 376795612, 430887132, 344960895, 802060467, 281552131, 14313634, 246889436, 397326514, 955315695, 162569141, 866212734, 931225625, 197910259, 281821694, 858390270, 301558087, 343900381, 193763921, 946111126, 855696787, 204837982, 51001967, 778910105, 336079431, 936027010, 221487219, 146753504, 855018575, 986713871, 66349425, 388969986, 970208674, 922633362, 105860839, 143579857, 697883007, 355998729, 510902691, 456029307, 876306243, 881596365, 255546830, 200794913, 323774204, 559186197, 416069278, 373366073, 649062686, 901925058, 153214038, 814408936, 445243575, 703250814, 530599227, 558714306, 755998654, 314751303, 637241561, 801447096, 982434867, 748246341, 839395071, 468253021, 634066618, 161423699, 929407304, 697948052, 500992041, 45169671, 437363728, 819436689, 945945975, 429148767, 428484734, 640016665, 416293388, 696276974, 314857212, 787099318, 589672242, 106034264, 552624940, 193843183, 114926839, 496784110, 779304648, 789153836, 859877683, 117857303, 233653577, 197372845, 909562627, 575477611, 222448729, 274867843, 987782811, 674874032, 506115429, 91898881, 67831303, 192874664, 485177365, 259553545, 723227732, 542122434, 240440942, 589555874, 262053801, 735930088, 819992317, 940343737, 354344814, 153123596, 113653838, 91614143, 930692310, 435690203, 792963494, 970668837, 191883722, 521507088, 99881613, 844117840, 79698466, 387659479, 667089400, 719691651, 51222470, 271198767, 116578498, 490465099, 363115593, 224175914, 438633568, 338611434, 562460801, 919482815, 857770504, 137409336, 766973915, 540897678, 326373823, 669830074, 238095916, 290531937, 174656734, 865750678, 570481728, 893364613, 445144264, 146259860, 205133219, 393446158, 440055069, 911151685, 519676163, 391113001, 895631812, 836078273, 469047516, 860907448, 283246223, 990592237, 81041995, 410726404, 472554693, 538586876, 397895190, 214423856, 46014977, 166935877, 748505723, 673814494, 773209835, 455686601, 285392771, 871220947, 532647412, 210388814, 535507879, 425893357, 936249270, 511428404, 733504190, 488978310, 68310736, 313234724, 464010732, 91355636, 460023193, 877935795, 229955517, 4880217, 910817706, 7918478, 133426021, 551872990, 302050897, 160668425, 154655165, 778955078, 670307870, 369170730, 899692172, 117936743, 827644163, 235492811, 6975128, 166426112, 457620664, 550426157, 300288703, 158036572, 801926692, 356965713, 32980788, 770636361, 951955391, 902222840, 295510504, 650132753, 352675966, 591183248, 57689310, 542385088, 858456354, 545610857, 887721536, 992677326, 313633132, 510513056, 422188751, 979677131, 309665170, 604417226, 427338505, 756356927, 545660883, 928509258, 254002522, 511583052, 638391146, 602313980, 641102283, 498313092, 906614485, 431912746, 632236205, 110906326, 11434797, 770174732, 639451530, 748835801, 263263255, 929415803, 637860715, 683859254, 933935983, 452168911, 217815193, 552344341, 829976894, 924114238, 450621199, 835431675, 227905664, 700985106, 158281954, 430008815, 210011347, 675606623, 803428910, 808448783, 405665992, 396869453, 220282403, 550911802, 694503555, 6020860, 63202391, 873673379, 502707829, 388681233, 593020488, 700138282, 232579659, 910337697, 450908024, 161312554, 376576220, 731591286, 524601264, 187132358, 810250886, 143281726, 770405281, 414267488, 417902791, 460311684, 644455231, 182425244, 165918109, 375315508, 91245628, 467386188, 367132303, 101557410, 129661789, 741265207, 983971385, 299963259, 176615294, 990841721, 297755749, 752158305, 714691560, 600801383, 596310924, 961973781, 522784858, 952973395, 620308790, 540907136, 199891293, 371936865, 757222258, 662893399, 906248154, 261689317, 578889047, 434330099, 961677920, 359898020, 827783042, 315835458, 728740340, 697650896, 692884790, 32091554, 4895993, 391389244, 396767415, 822752752, 683131990, 450183243, 880996415, 356978343, 553707856, 676313995, 640846151, 387458261, 75470749, 316211098, 678780813, 233158909, 68842945, 270435605, 716140720, 810531682, 474602774, 546628457, 60063610, 401672175, 763318775, 951906710, 264292163, 610880530, 630917876, 533273300, 493510665, 113959938, 616910386, 625413362, 717130036, 617493458, 814475753, 874754357, 662415142, 43756929, 153351095, 421934175, 421217369, 673899712, 150339664, 75690215, 971819766, 638966464, 908935710, 24347656, 38878655, 396641918, 939612598, 129638095, 202324437, 745068693, 755760581, 598958022, 951518347, 402327480, 259819519, 963936492, 709554503, 360132883, 111161579, 369191749, 180571619, 984748125, 681495005, 649568324, 520675781, 84825880, 320491579, 226565505, 348015602, 491494349, 884006807, 219334300, 680838709, 494474319, 336292223, 181889074, 314153474, 262457449, 340795658, 350212683, 567498181, 547923925, 346988838, 558843786, 302003702, 890502445, 572606073, 26234391, 910200592, 199689834, 386731372, 347602207, 835600446, 568971933, 248909861, 688971337, 175547514, 444407653, 968093800, 313899831, 464465091, 464797103, 944109860, 223661678, 636611165, 372938032, 332683147, 410115821, 889934310, 748319446, 70611199, 515244521, 95536253, 957923924, 627772664, 157261551, 273545487, 961420637, 352405528, 82599182, 267969423, 317468430, 977029261, 529677032, 194700360, 220370751, 389120743, 616313227, 20052784, 891551388, 117572729, 989454960, 111832743, 809522295, 850160525, 500588312, 85356595, 567143664, 375058752, 37715614, 797544957, 729121731, 728053634, 735241176, 587469906, 682977679, 738490039, 649233463, 566356354, 216942959, 625962443, 162005011, 958450, 844412329, 7766177, 519688816, 137483937, 232547599, 876870507, 319878491, 297843482, 661582061, 796516549, 124215089, 694296659, 243650922, 652422666, 515643363, 994660867, 830707321, 487121289, 494426613, 177591038, 243255062, 994574944, 227321500, 60973858, 353156192, 389696161, 763251468, 833865564, 353553218, 636625812, 240802029, 179872000, 83990205, 718153908, 467571371, 678034169, 369749190, 961580824, 30948862, 822460898, 423094653, 712535888, 635499538, 465381164, 731032655, 97788148, 146975682, 223260408, 974184348, 43535914, 444837567, 84992460, 754115521, 172649296, 170809303, 369128350, 596412290, 896418960, 409953170, 956438401, 800506382, 267181255, 187537565, 248894095, 249002195, 516699693, 158674657, 222528881, 634818839, 19637748, 289385958, 344077786, 125244249, 880015720, 742919271, 747284343, 455690045, 734401708, 288094953, 927656907, 976677473, 757275672, 642092852, 335719371, 543650979, 66417331, 729611199, 139193587, 414895728, 715848195, 178265431, 411108817, 326922939, 830495338, 787321721, 529073008, 954102462, 921550345, 355657777, 321197797, 258516482, 212422097, 367416405, 533912345, 51283149, 828128931, 202245659, 528092845, 64916053, 947738828, 920451580, 133284386, 593351445, 938289451, 351466166, 438649250, 943205113, 392228215, 67913884, 936320498, 36156904, 526656089, 859016191, 854798693, 138243035, 155956801, 203548298, 184216462, 232830157, 178896234, 853531059, 121647360, 28360431, 663938059, 550318240, 139681926, 411098125, 809191494, 9869704, 316645398, 646671232, 406191046, 527835964, 414880370, 558339213, 206039048, 899490719, 64769839, 711487135, 728239108, 379292826, 914962017, 512600176, 202633540, 809469112, 659106644, 211000738, 963038874, 64920713, 97402853, 461984447, 686703313, 456626397, 727526908, 748690819, 110907065, 127445893, 590242054, 208626363, 777425254, 895597025, 697214477, 251187911, 390629465, 644636480, 39842796, 589137810, 577664549, 773080973, 321220689, 741958674, 298005059, 999136415, 344885183, 136548444, 218724621, 84022976, 539461690, 206465010, 372999564, 389631359, 640898717, 857967784, 658009036, 903031300, 756402289, 222776247, 716333167, 501941090, 200896482, 333568171, 869592913, 945860733, 455155212, 968466874, 784233281, 596275233, 853837635, 157021605, 268069090, 813677724, 735692968, 244229826, 374818623, 557529313, 973151867, 711863827, 830455263, 387150270, 483532982, 605946778, 925657330, 751215508, 794475860, 526018907, 165891067, 982908503, 909797118, 914838851, 194578196, 393280347, 275662416, 747588175, 802598465, 377570191, 408214024, 985120430, 813173515, 883918032, 285125264, 721882894, 922552000, 102030883, 701827069, 273382032, 977921054, 193101501, 636104234, 939552731, 645777883, 619660433, 543562896, 862077727, 721790508, 150575405, 891728093, 386926372, 81577195, 702500911, 917784518, 957600157, 20957299, 694769074, 774982625, 384890556, 166274549, 541543466, 147057234, 25024953, 454734480, 399917628, 842904145, 368216882, 172423551, 669010744, 472163724, 339850830, 195999118, 935292849, 715500090, 241546277, 601922235, 456891985, 921354614, 146448220, 742573627, 404660493, 23039859, 81872365, 665465177, 221172138, 162690282, 78027931, 524363102, 669433204, 814169175, 432162376, 835079496, 525507782, 72516948, 823455172, 666632452, 785572315, 719371514, 716705307, 586864749, 995374836, 595255660, 945724333, 728896130, 584708278, 30899272, 187364606, 173728282, 230426893, 858377795, 434979081, 715056472, 252829192, 245004820, 58188436, 639823531, 588800093, 941432722, 746174694, 526006380, 1958, 479744852, 462502264, 429330463, 542470693, 331263214, 645031246, 379379156, 127240803, 190677416, 239776697, 52718927, 693267871, 541512151, 104136877, 392589197, 957209983, 378560468, 152748934, 569874279, 925819158, 234075257, 164319788, 301650204, 681849036, 420700939, 554849216, 106421995, 15097217, 150379017, 784270808, 82690133, 24097920, 106064211, 772894514, 268484678, 670016575, 772389510, 80610121, 593121281, 197895986, 942909121, 355358747, 25367399, 544405038, 381942609, 856925130, 266100680, 507466104, 960199942, 359338121, 277476733, 708569503, 150730259, 952313618, 278628267, 385913012, 970415092, 285407119, 510654327, 819208144, 130041473, 494160996, 940220770, 536235432, 842677544, 344039374, 23582132, 928827788, 316852531, 495311962, 872484948, 577812301, 403953051, 227778988, 911600304, 443115943, 946403669, 841601401, 483800017, 535280198, 684169826, 333391457, 882830418, 711312944, 701154573, 298263834, 200428464, 570942451, 973946290, 517264814, 521144879, 887668960, 451403939, 724890825, 446869309, 350761348, 36650082, 746110305, 831541912, 964244859, 141989707, 452601252, 518363412, 733120851, 229486164, 719947905, 205984342, 433490592, 161707260, 27376149, 739660220, 889716281, 217131743, 689686484, 421731112, 412285883, 158363325, 940881309, 37149388, 55818439, 861867604, 467528040, 833613457, 611268775, 910798823, 431282016, 431605101, 833191802, 653997821, 45339660, 453409106, 161691509, 991387701, 550569599, 860637959, 423526771, 632106124, 837520462, 803457184, 470371210, 708520807, 105942629, 475376416, 568000214, 386716756, 727941887, 998159332, 855557059, 471228581, 676893914, 135915545, 829559600, 54940739, 628527045, 41962397, 83730689, 392283535, 116906011, 37819840, 319587596, 448050875, 357182550, 311585833, 590194695, 567322957, 744956905, 476709531, 364836315, 686983024, 106663910, 384479621, 552374696, 777973016, 982743825, 463917137, 776296335, 65193492, 216328234, 600247580, 430276259, 499503531, 598437562, 53159799, 267302943, 157719371, 475084574, 669420330, 202597296, 964557115, 658635188, 922114932, 180385258, 971144122, 93607581, 73873084, 245990404, 804407980, 512944784, 947492282, 40664386, 438194674, 975648859, 607774415, 373808096, 802849308, 997000119, 482181269, 27357450, 339098524, 922135997, 133240092, 75859775, 557966796, 739511044, 632754624, 310138246, 258263012, 382956774, 618444027, 12096907, 158280345, 634837113, 590669773, 644208890, 36622098, 822674695, 502128290, 595551847, 641502665, 943265166, 200670750, 857052272, 700198883, 781722652, 611799401, 268262581, 790239433, 77628568, 222040384, 791417745, 672849684, 519807835, 984156859, 820493560, 389728834, 570370117, 563333242, 813944190, 840318060, 818394233, 728203735, 667074542, 68443062, 571876346, 865863664, 515424298, 70284705, 89225825, 796024953, 211299516, 638986858, 19206486, 245064993, 459232596, 762755868, 925548269, 176264672, 428904928, 514998171, 914337318, 597234558, 811121118, 646161365, 33444346, 46993444, 657321838, 876369593, 704093583, 793943104, 861449567, 995385523, 477644299, 466329479, 127909550, 746389073, 835823272, 967604279, 66865028, 213239399, 702493183, 144961253, 965624821, 266271161, 495190302, 594015762, 436799730, 631071172, 29221119, 22948761, 648402220, 183770157, 853359994, 767614022, 37618073, 642171407, 362110653, 391872580, 244809005, 433759967, 69277507, 254473129, 796192773, 67913432, 511390264, 328152966, 830916949, 328002463, 171380057, 539340368, 246885562, 118475182, 175531845, 431019291, 668346118, 917342657, 876785734, 776825460, 747791085, 535394670, 376224528, 980277137, 275066526, 107106766, 363445511, 433246373, 376548375, 424628738, 675780691, 380817906, 43653205, 397271550, 818212546, 698528160, 392084342, 863092423, 919532478, 849157910, 380086335, 722440649, 486391551, 788286127, 30415521, 670555908, 555012147, 60973911, 418278927, 464952233, 382509398, 100017474, 983009253, 581207262, 165311622, 615392887, 831027031, 979263881, 417913442, 775516469, 513631643, 806177370, 62819836, 510271010, 13505684, 296538808, 147599904, 378628670, 93871363, 463906755, 75635412, 769041273, 723131327, 936878565, 484948047, 47728735, 477733590, 223654107, 694300695, 34095272, 20527544, 419045776, 481902851, 868692715, 783673456, 283535204, 56434250, 393668933, 312441180, 365390394, 736278267, 182537019, 429676919, 549152525, 998058890, 724570387, 174004904, 631224329, 458793397, 621178479, 769478069, 979797085, 244695033, 873886272, 884669902, 584790574, 670248620, 180600872, 410133841, 432993964, 423345414, 744222719, 104354657, 494579510, 829917913, 551807122, 929864822, 595267116, 480936141, 283223566, 389063548, 877009072, 79722379, 47227362, 800064967, 283946672, 170664274, 710654503, 548729310, 403713930, 429939433, 428211802, 791359895, 70106574, 719984296, 982584364, 485344188, 708739680, 684145348, 447940746, 733132311, 53651676, 365595475, 237000270, 379144276, 398249496, 110549441, 709642956, 880614504, 114611470, 450558842, 167818502, 522418406, 957289737, 319232254, 261438802, 714759520, 248420252, 705170553, 548203726, 866752171, 929080744, 955528359, 416815139, 924498222, 174611323, 20768661, 83848121, 958755281, 821183011, 612301920, 632863849, 230806172, 771846666, 934013582, 862125288, 292956065, 661678154, 716501101, 532087038, 814171628, 916686117, 131617618, 280995974, 571531431, 516144896, 952847541, 274237677, 355069352, 961976964, 99537590, 514918914, 83101038, 437304430, 760155502, 269686436, 268164490, 569876070, 344893, 131604046, 898759912, 943570576, 238006123, 884319254, 282315028, 974520135, 372057733, 25671586, 490760034, 681611186, 909405517, 635099769, 404502661, 719532465, 591547886, 316192465, 616258829, 274942579, 671331590, 333771723, 261635649, 146167920, 547854058, 427365141, 891018211, 71213464, 208671706, 492615399, 740412641, 722793765, 875607931, 71600452, 648772497, 48820374, 912188134, 896185613, 770545785, 576993909, 116284926, 80213553, 445171747, 118177936, 73179701, 670173081, 350493744, 422607862, 420988921, 261843199, 148856786, 629814130, 605116683, 705958541, 615801998, 240606235, 830530355, 664221750, 630545768, 145051380, 636018365, 27058603, 694644091, 940911461, 67706917, 33346146, 15340200, 335230335, 694971091, 214386961, 353281746, 228345711, 700480486, 443781397, 477432894, 225377796, 926461958, 945636381, 507930292, 672403721, 887619114, 921770428, 572657525, 964029437, 390070113, 638716065, 646479814, 890288101, 771582782, 871146570, 41151076, 966928134, 92865487, 539898182, 21076988, 57537011, 991346991, 228957946, 464600575, 382525153, 300641998, 832664474, 824359508, 137134524, 680028965, 614581756, 689634529, 328166671, 982052474, 449672674, 723325838, 342096595, 78348297, 113489583, 908282164, 727036755, 395918906, 130017047, 684926379, 76871560, 708751226, 673646537, 542158035, 497794195, 751050710, 579484380, 516396499, 349684726, 471728143, 694775557, 342003732, 379819112, 776775123, 764639508, 145249619, 632054073, 554432423, 373163070, 500874082, 645203606, 521493659, 75520575, 398238042, 729563595, 572809314, 894871430, 492183280, 825986750, 444274904, 475642189, 909726612, 562234435, 491467592, 999398990, 540760673, 717289750, 378137303, 598798820, 172747652, 737577853, 410832015, 228850555, 245446282, 906758776, 367540169, 48428128, 570277426, 194224495, 345456259, 150513113, 517196863, 578141764, 519055590, 234861056, 534953977, 786758554, 947600810, 910483202, 257276548, 56008296, 155665743, 775652795, 419738443, 112580916, 177434521, 713144450, 317885711, 130107322, 651853735, 293492120, 413691750, 461504436, 910658565, 335072923, 423367279, 879185886, 734825706, 425220340, 97072690, 576990488, 677782717, 48451478, 557805596, 593821291, 804262439, 950695923, 784568353, 630880490, 526397929, 856056900, 913272195, 458060316, 774639946, 721445809, 637712864, 304725532, 818228795, 295306783, 184546077, 141734298, 347906254, 49774416, 404260940, 616087943, 58205351, 851299527, 514815267, 846868849, 250008246, 671909215, 874932052, 105658829, 596133242, 615781967, 601034059, 200800576, 472609936, 618548730, 922440066, 811764485, 711032875, 119874175, 280312923, 31459506, 9328223, 888128280, 948210273, 884711945, 331245572, 783388565, 394468564, 922306515, 448639455, 424031696, 144673781, 888725445, 773412260, 55980651, 749457542, 949476026, 887283899, 635915248, 954298766, 126817445, 119282390, 296748366, 343411938, 517092783, 561087250, 81894328, 885376708, 952294369, 385046332, 505282341, 240520897, 739154540, 586332761, 964068643, 773779750, 837504911, 467004867, 277879514, 547544565, 706654946, 299607742, 364969530, 381748974, 973352579, 972417896, 901835154, 434983800, 725812239, 491361808, 476469188, 996748598, 485612692, 194615889, 110881479, 317577000, 88733356, 602652087, 997248819, 283276911, 236710787, 512684294, 899174116, 763326719, 100366286, 594004121, 129853275, 659454778, 713288482, 163448601, 822658367, 818571197, 217880612, 744578961, 763877722, 128244015, 269348839, 955580501, 323173465, 520327744, 769538827, 583069894, 822591628, 884415917, 960497857, 175971242, 83679696, 721747313, 345824965, 514058454, 451760551, 685422560, 399517771, 189497699, 591031879, 38722151, 538283024, 384127219, 624120671, 416021080, 936977166, 690347391, 214097696, 155012691, 525905417, 662701552, 676657682, 721417575, 160607534, 459144413, 691902812, 168673408, 392841164, 891729707, 716616226, 120032522, 852704988, 443518315, 848085029, 690072265, 137858086, 588933600, 70274567, 201276973, 8227829, 172480978, 218313439, 977158825, 970629418, 736127962, 40574060, 970839634, 392973445, 579743524, 51024189, 518070205, 487905691, 548703481, 713898972, 152238557, 621488599, 392088466, 396299744, 442898194, 611137602, 556270919, 307914059, 446282217, 597901705, 122121477, 613159157, 810369457, 572334902, 153845079, 302325750, 176149717, 594991824, 937830030, 448500360, 779333101, 871936371, 242325635, 981431182, 107514097, 353815769, 421272989, 375617414, 879761144, 229730160, 338797494, 723923767, 685019054, 275922886, 972879223, 201638664, 482877178, 361160724, 966947203, 915675323, 728861657, 172117816, 436106606, 478536049, 944028874, 965517561, 951110269, 512502652, 805433621, 460296730, 713636389, 270316450, 564268748, 995015860, 274474456, 405239036, 259956535, 901624971, 543809857, 226588531, 411121587, 975934121, 862478931, 472943243, 780627626, 968013732, 389496674, 722615386, 222109894, 751411932, 868093594, 518040041, 944125701, 718279046, 255600702, 898133028, 927428912, 556640216, 838238074, 13995751, 343443251, 361576984, 425468183, 106220729, 734991052, 124294278, 829387760, 6736488, 138856701, 726659744, 329581173, 886553308, 123694507, 519932012, 814568176, 499495310, 185253810, 748930601, 167638809, 814832327, 348542050, 341382591, 597484306, 77686481, 882004056, 167963533, 194520587, 354019464, 696454755, 331910011, 545476836, 171161904, 681893847, 475070948, 500870727, 960905888, 989037829, 643528959, 11412721, 266157382, 769242692, 819613727, 959858575, 355004319, 350579535, 461214221, 199006927, 545363272, 528884010, 867854176, 639117112, 739805362, 303773281, 760180308, 562865710, 259821382, 411419702, 969259030, 702574339, 242702561, 171224733, 134168394, 416376064, 438964874, 952158997, 433642414, 667329746, 921801799, 950053359, 960742877, 342460801, 728353746, 877996260, 709392336, 100316307, 772495649, 948596130, 818734629, 132773911, 914623182, 700261400, 600464596, 947673081, 288626711, 622915801, 108004534, 39559279, 891927177, 616417063, 833276595, 583795698, 17784128, 642922285, 231440286, 384990378, 934631639, 772428670, 275317067, 453359734, 125394974, 647628493, 982930061, 410635836, 124569477, 963408839, 513244618, 516705100, 257982258, 278738716, 276217595, 374024569, 945197424, 311082578, 91401546, 424908563, 29787843, 687447094, 947321993, 35887176, 897415583, 176500769, 106785452, 525650564, 364048765, 456709834, 725710367, 927708211, 915724142, 55725238, 438815885, 965967140, 166616372, 276527202, 888056674, 630106586, 476779036, 98919123, 747644827, 633137544, 767158948, 959072818, 767005742, 820174844, 540285966, 414863431, 942185355, 759716271, 86469010, 427027088, 747120285, 381360095, 921576020, 940036995, 404017953, 955523216, 57440028, 943690952, 838677234, 53701121, 46782032, 996699820, 410893343, 994262070, 156493209, 663790423, 345668250, 245138641, 14295014, 240913354, 272731573, 504022188, 859654138, 510740021, 466139760, 476737305, 667822759, 150228754, 858787789, 495060068, 145935811, 180008060, 732974186, 477476877, 931308206, 920075435, 164656465, 545685736, 243150944, 995687426, 405640124, 942506737, 551442674, 127228789, 347458641, 444928614, 251599645, 652445058, 737551138, 318874287, 961279942, 285470135, 152836401, 886113196, 418904552, 668561088, 379314623, 950332430, 789983493, 490685682, 340310627, 415843335, 186006161, 300628480, 524882353, 702756858, 678824408, 48401376, 454418887, 405336472, 678947615, 168258766, 955715135, 561801735, 164780700, 358313606, 301236783, 233326040, 297488280, 563945631, 68859479, 256824360, 984877417, 312582346, 868950722, 14624992, 298388671, 877470011, 894010913, 904336345, 272503859, 11525090, 906562198, 424999605, 630326123, 600617657, 208423538, 328141015, 263925084, 404192646, 269702861, 273620166, 623609974, 455825440, 83009717, 90326863, 257809756, 325398573, 322906266, 704375931, 653062202, 463138628, 523585717, 528171821, 127566739, 631110592, 858756467, 984822527, 415812759, 832117515, 355231067, 686918562, 30199803, 790339594, 536261496, 319221198, 819036472, 400193195, 879428092, 739880850, 542706540, 692945917, 741700013, 911950049, 327770572, 330924155, 45086869, 261286564, 770326979, 423123221, 653403901, 144406925, 827176854, 528095320, 986104727, 667214927, 218909653, 386051073, 276134300, 659665910, 474310752, 746923623, 877751285, 150487373, 568063767, 957944171, 517531112, 827241901, 288534597, 474266633, 830478552, 391288881, 263517083, 794600872, 696574290, 390192905, 965091249, 873253893, 763560636, 313450348, 69814691, 732625710, 396932100, 128157031, 534900914, 723030206, 926766072, 409525245, 635434259, 683362315, 308255824, 644286965, 398932930, 688647753, 347142775, 823611942, 564727045, 87660128, 806093818, 339915871, 17967514, 406349623, 677105533, 525133380, 663457084, 151673230, 789952213, 314714063, 232968781, 462652433, 651618742, 368094446, 687781706, 443197508, 404394107, 767210684, 980809152, 515373605, 893470917, 382559794, 281762146, 957666449, 319940871, 940787720, 524324154, 696774250, 40296214, 956806407, 829096326, 962830958, 162955450, 928364793, 531223515, 911415567, 235539474, 673211251, 892761485, 421116467, 832140783, 102957669, 579824057, 74604898, 920440161, 705130257, 752648096, 23712587, 308440218, 824579015, 367884477, 151397390, 298292171, 140987740, 566688696, 830780580, 158276255, 401077323, 607950100, 839288633, 694640126, 392011698, 152901038, 703332390, 117132907, 825038395, 539066717, 79694135, 483101461, 252281086, 567565459, 685709104, 398776393, 646752380, 137954988, 267851897, 430047488, 442206444, 585987371, 106898415, 293123576, 379250030, 14880713, 427484884, 993348935, 155387962, 720970279, 86403567, 53385600, 993264607, 874497978, 777186005, 264556129, 868534972, 656054146, 446616186, 128178606, 531925803, 537658690, 444661112, 885962291, 327994647, 669047021, 797532099, 889010038, 111123626, 7817020, 30772459, 41906382, 780838506, 76517460, 270782936, 660708132, 149109201, 832742318, 650335446, 881008384, 25034670, 436851563, 749818627, 435787441, 248646612, 627319704, 85262326, 694065322, 332537284, 22961639, 297333860, 133854856, 811652375, 455245724, 157716576, 677134525, 979292090, 339162588, 12209183, 565107436, 505717868, 801004815, 626813607, 215198819, 305967988, 901704235, 532258330, 86837751, 889122965, 456404790, 482414208, 258059997, 14402699, 254949290, 492266460, 414732582, 590111719, 663516878, 61981418, 361800885, 33031380, 706398217, 406082658, 470412424, 703563842, 750820104, 999035304, 377079067, 246328184, 888754610, 356484610, 402493928, 701061501, 191792703, 588118805, 249172487, 120589510, 561540636, 387952176, 752440551, 470694655, 388736782, 71717417, 644841026, 297573176, 851683786, 168554124, 394132345, 543359417, 502942422, 822988329, 770420818, 84222441, 235797053, 402223637, 534725329, 761980501, 187299207, 207328243, 146345985, 498276394, 907125371, 310500133, 148072701, 732886324, 875776524, 69057930, 586586276, 545740710, 876505374, 69812515, 525853588, 331497948, 272292610, 905052975, 59123867, 82474557, 573761953, 626516409, 756572815, 889041414, 616599665, 569046529, 144620977, 12131880, 386427267, 744307539, 811424916, 497676352, 838833946, 750680537, 727486287, 875312219, 161705314, 96068709, 601720412, 186376048, 927396875, 137498898, 321688995, 449781873, 485893276, 371016724, 180381087, 77441386, 172402131, 763861041, 885157949, 925072166, 278724772, 625632843, 282596552, 836332055, 411944457, 722429157, 21707720, 234007917, 74435024, 556614465, 651459763, 925843293, 286912744, 16112817, 15145827, 643589854, 875142562, 889994196, 991024969, 800700388, 960714507, 683310431, 354641879, 383222955, 161296450, 217521434, 984413807, 21770976, 399838318, 743730184, 411590726, 736100500, 715776375, 669484737, 88886538, 526964247, 747752232, 815317965, 813051319, 83422359, 50976537, 442449158, 604191491, 159244205, 856266421, 359274198, 477029150, 888268437, 516870855, 108961603, 442455987, 415679375, 20376685, 573559924, 751660822, 14595742, 414240621, 747188287, 153313934, 896726148, 962472116, 255186706, 903194400, 454568771, 159054198, 567630756, 606500961, 836766944, 832771434, 231960788, 547933287, 679291107, 75049388, 389804341, 66351917, 531029043, 49655388, 400565315, 940283160, 330271880, 434429373, 106107941, 313493344, 398346407, 447583581, 135811983, 502538314, 387647711, 210670935, 826415045, 986518893, 37111910, 574750922, 773111003, 1111797, 523432925, 993927813, 394523861, 740800974, 662774506, 383155971, 506996163, 254696404, 608659928, 655885548, 965059920, 846436180, 927596358, 60338495, 729926782, 823750503, 523126706, 191591965, 492379334, 823069035, 95386240, 711569148, 557616540, 264337872, 66190198, 986626953, 215336043, 704690787, 293518818, 477352181, 495395488, 557279141, 426219766, 857007431, 323680409, 475350579, 549028588, 603947182, 982664968, 445868661, 232411922, 246409607, 576992137, 516543771, 947795721, 105748213, 548346974, 973210290, 229376822, 808835795, 528089839, 718600147, 277341834, 669482004, 261937402, 711189762, 116677611, 856010057, 838250469, 388440245, 847961863, 931878532, 954515745, 376475218, 353571332, 105664274, 594760340, 526504469, 619597916, 751847552, 714745551, 136666034, 364809804, 313591434, 185712007, 899304358, 83101259, 676781050, 761556063, 121534381, 508020856, 746482621, 520139793, 356164618, 506882821, 119795552, 213179788, 794599981, 84820695, 854713366, 452419675, 305295909, 287244189, 467847255, 473057716, 179629741, 521891933, 540993266, 240374646, 372570593, 734197413, 579023117, 556644739, 264839762, 537548662, 455603315, 496727140, 5861713, 24697704, 43164008, 913138429, 319422881, 703574960, 33982260, 309922162, 107928389, 987899983, 726173255, 421903051, 971675887, 817858391, 651150241, 407910979, 152677162, 944825572, 385332262, 122716067, 781709591, 838860726, 31513314, 642902281, 315944727, 175367775, 107184033, 518520597, 653926664, 899314611, 44797798, 690064889, 18151495, 906130718, 97076335, 498657693, 141135070, 891265736, 144943099, 563210395, 633810518, 867610816, 284258365, 695983038, 428210304, 18829415, 168746948, 162389553, 80051344, 855288218, 190600893, 805750365, 540434069, 719061364, 641366544, 97266810, 302311488, 510633283, 399136634, 341620868, 399929560, 699782030, 182213882, 368207540, 169550210, 752661066, 266261061, 883925024, 131016399, 650876497, 281059901, 73445545, 761457029, 22735002, 649701659, 141286061, 657028281, 806285744, 784599091, 280887203, 10449716, 506613058, 699183085, 522756576, 503025200, 207795612, 628579529, 439006378, 299072036, 801038893, 856103273, 569899351, 446838466, 656881705, 979677087, 358100772, 351453724, 627471575, 288731226, 252404710, 715345080, 120735797, 935144522, 677666110, 78591497, 691350292, 278818736, 282057965, 399461964, 532130104, 35618041, 112363137, 784885731, 152765164, 221414102, 6070970, 561310010, 271276233, 54989676, 72175799, 768703740, 272194376, 365325135, 204778141, 456302232, 971096674, 491411576, 843550846, 315307566, 398836757, 48628847, 685175877, 781100001, 703085825, 140794743, 133924705, 798863563, 319607704, 999163286, 370875315, 443242973, 509390916, 584021769, 742029695, 262559021, 906899657, 850850898, 399418116, 107906093, 186731045, 731399993, 480400310, 281003779, 930636185, 886315421, 606227150, 889777232, 179539585, 145105729, 805738850, 52098544, 748460496, 311577816, 594384448, 393633438, 899356374, 799030567, 627197184, 426131279, 325895813, 780376570, 921247279, 385391252, 724681706, 366675153, 178637344, 838377758, 374197683, 115724703, 849804979, 78694545, 997311390, 78718781, 734425707, 810762486, 694893571, 815423631, 288612404, 450208233, 917358984, 11887704, 332364342, 44876917, 899487119, 413346825, 693058391, 488889320, 832878372, 211080222, 657428480, 994036037, 340778665, 756319265, 288159401, 787491524, 978986288, 928974735, 849364599, 147377334, 442280892, 366022705, 10269902, 369484578, 959935144, 914686811, 461856524, 103244095, 935421730, 310585190, 207407215, 324685839, 665744626, 578181605, 776050212, 900938601, 106209174, 280326138, 171209380, 682474053, 271995098, 306503766, 582418103, 434140884, 226900665, 402272867, 667662745, 195825780, 721859096, 993475237, 196550427, 240903150, 662206831, 889021831, 999723617, 947885906, 702033246, 228159158, 484356963, 254662208, 353484021, 375945499, 735092130, 692292898, 80505075, 11027904, 961062619, 820813110, 283110677, 550478501, 932291413, 805515194, 542581557, 505850663, 803642322, 619285717, 156871076, 194542932, 7147069, 896217178, 124484100, 71451414, 901275434, 984753844, 928299205, 520304902, 118240315, 350413709, 710411178, 373858559, 861530615, 278769522, 505660702, 492558912, 371945289, 307632072, 789018759, 137680047, 523366522, 490950851, 481290908, 997176137, 616216247, 325346123, 911230190, 687545103, 351436330, 673042351, 867175996, 997737551, 903804977, 64733042, 757575064, 959048683, 593522530, 879350786, 376081016, 579423379, 853537519, 174104771, 154772825, 247970416, 977554519, 442156403, 685316823, 635762929, 774202202, 768972205, 930455498, 137635900, 681394653, 813150980, 266927445, 49873020, 600886895, 923035344, 164442010, 327248915, 179715698, 231543836, 97165915, 15354307, 783019377, 337234946, 264615867, 166904931, 129498473, 549245965, 312045758, 101312828, 22797582, 580752370, 409021727, 943919548, 401569321, 810162885, 401670620, 184475351, 469549624, 780155018, 364188328, 457490383, 163362327, 300263647, 879023276, 698609641, 628008279, 564922116, 172516218, 6994774, 143199971, 523854661, 247714264, 953290383, 497841623, 776473070, 623590170, 705573173, 60341577, 346019249, 656200784, 199522119, 618503721, 795277967, 784059581, 505056042, 861264265, 513289101, 519765067, 968841978, 285644423, 29874174, 86712492, 341240972, 860016686, 414530062, 377901124, 485564686, 177704571, 791704242, 763045640, 761159855, 404862267, 801013800, 944219555, 901139845, 993613636, 314252246, 671801902, 70672440, 53987881, 289940084, 403065084, 108163952, 106482753, 870012392, 53844910, 85911784, 712580764, 356708858, 171367686, 900323572, 250454525, 97608162, 528306495, 254704274, 990498601, 543741273, 824456817, 27827532, 954310105, 222421642, 627251742, 910031857, 936177808, 382895057, 416660341, 32272862, 544484664, 491751920, 40503669, 836107242, 648963865, 464059926, 769121444, 855591539, 302534919, 601850006, 611972881, 979140165, 243885749, 553381052, 177827438, 276292410, 310817152, 196102137, 448025393, 278242050, 552387217, 514454091, 296907616, 751916847, 158318124, 104927627, 594666848, 106094293, 577943062, 297881084, 122858655, 439927697, 943847776, 601018198, 920816673, 7833495, 317766236, 885771904, 562233713, 991174270, 700648107, 976762517, 257599700, 860376300, 833391590, 584328417, 517063940, 21841580, 544797064, 144575552, 907664515, 780266224, 748956983, 680232503, 114060339, 323307037, 555870016, 200176913, 674776853, 491174803, 345971411, 534396930, 710626944, 39585295, 700401104, 216025996, 769458332, 143549653, 518896678, 75095695, 541827037, 734278939, 976496190, 319207084, 425556778, 217413700, 276464843, 76372051, 907008012, 355157062, 861965249, 828580717, 619005291, 329153204, 192727045, 138408735, 591169047, 941756171, 122560494, 329181840, 639761772, 765343243, 547981003, 960903026, 131425969, 501382071, 988804151, 145240815, 328491694, 650948794, 261873629, 166111997, 27031805, 51047979, 230903203, 917429588, 23685465, 696922636, 878695966, 954789255, 996702095, 427361609, 21474313, 883385287, 649158820, 675196292, 419525433, 71373872, 723194946, 542378666, 567757265, 485309602, 29760490, 691536351, 95163562, 545072265, 946407347, 147413137, 813982725, 537424949, 631631259, 44904659, 387402489, 677960330, 170087925, 937734942, 781629179, 541692631, 62421520, 100854188, 234888039, 80944970, 877169879, 187322918, 980368428, 846878170, 938426324, 497044097, 419778987, 431329883, 60993369, 937445486, 927538087, 883408671, 866887315, 709862119, 532249558, 679122353, 346318832, 886515141, 154385004, 197911829, 580387930, 803192671, 904538838, 439495268, 895007130, 563876511, 337772411, 281276821, 214318091, 395190965, 937129647, 472358985, 562944790, 533992102, 215810828, 201029225, 212787292, 571498367, 373002366, 278681913, 780591610, 453657736, 565545091, 782922710, 739894293, 931805207, 686170151, 780523613, 321633963, 243453729, 980754933, 831846176, 322235095, 193437521, 849909314, 921182061, 484972433, 725269632, 732885076, 66812282, 122894856, 929151703, 187595784, 134116581, 405803818, 442364939, 147003020, 92408618, 847070081, 651487847, 18889494, 550827308, 409951280, 858593666, 192217490, 670443020, 752357743, 305168092, 166856463, 320828923, 600354393, 9151187, 324215799, 118799590, 509362873, 409237999, 523620319, 964118977, 437886697, 868760, 730269549, 970928679, 896711052, 699744316, 744355277, 780695676, 988460097, 248042345, 609536109, 185380247, 829478819, 70054733, 210291982, 731069034, 906397317, 688256037, 81942410, 274437196, 746660227, 427196992, 311405989, 461269573, 128066913, 81077290, 796035387, 625362010, 821756001, 484854027, 761183841, 122750543, 689596821, 724998853, 442455763, 51027302, 359866654, 725709704, 422025525, 340512836, 950051684, 198869419, 732379310, 765937352, 536417451, 494367704, 499966404, 934726126, 226794318, 956325335, 835983637, 417455383, 812016890, 763917785, 291753974, 677097552, 694715637, 244057803, 625201829, 489843658, 979610644, 897940676, 235424080, 980764901, 533312088, 815592789, 388724773, 719792457, 572717977, 310728315, 952598118, 487702974, 652463645, 979515199, 543099113, 893678873, 150827214, 58866747, 521861308, 857018344, 722558201, 529529902, 514228500, 58222062, 630151167, 436200350, 131296429, 298441148, 315735211, 513164879, 554086935, 703319410, 263973575, 587423010, 395647631, 494916675, 167417422, 687402163, 423467647, 415543798, 507490895, 329395860, 575479110, 692004574, 275342736, 189790036, 539157909, 446961227, 633055809, 190239455, 43631111, 689442577, 318873066, 738999267, 879394535, 82440124, 166623378, 786334110, 421777394, 13513984, 451723395, 126055454, 904670639, 638916246, 582710358, 280392613, 273704305, 16188584, 966736517, 605185, 735842104, 166555488, 977732994, 565184098, 667366990, 178661842, 730135640, 457953765, 883059544, 438078173, 215014496, 921882335, 264126019, 358423547, 507014858, 258266998, 692222822, 753546375, 41722277, 449339851, 357497165, 140186266, 690832852, 336058965, 24803933, 998157017, 698338470, 38199032, 189826742, 171063555, 87058476, 875306352, 449953410, 658202295, 620191206, 972748440, 621665431, 248315349, 261326789, 800892136, 793364002, 910782251, 81304722, 123799170, 857029897, 626568518, 679631642, 170961959, 259348304, 485368065, 315539667, 36095790, 28466984, 395405504, 171987162, 737247054, 682223014, 195034510, 978452094, 291989702, 382236832, 233254197, 489488245, 32178482, 439289114, 712986594, 281385482, 810346514, 391197789, 511001418, 172460317, 970855701, 857505648, 498428410, 696149869, 331226060, 512844951, 13269286, 562704826, 973039986, 308555470, 777565042, 114388112, 901616199, 990068299, 786985466, 363630169, 529012109, 639692828, 138743113, 148970961, 648889664, 495751395, 224003026, 460207433, 56498021, 926191018, 990235439, 607352562, 276080160, 282559839, 598361928, 143240789, 307383483, 691974670, 990700420, 815195158, 720803819, 436220021, 32487082, 395888814, 724559831, 482423541, 548098427, 262227806, 739915593, 314777385, 563707263, 802338755, 659469613, 141295569, 538716373, 501302430, 404228012, 564524981, 674595966, 993046706, 592752447, 412310540, 569271209, 644793491, 40198801, 451847501, 610051844, 274519416, 204389269, 200855202, 171465805, 122570720, 854170518, 189116675, 347395192, 993406692, 714538101, 380071202, 375967981, 616743949, 374076178, 596072537, 315655688, 986446374, 242748733, 952336456, 259346963, 380523286, 23889051, 615373744, 69752800, 194202427, 669079342, 235594221, 183428934, 605313912, 995341743, 125009622, 604017710, 865232116, 275275124, 304959689, 508172991, 49851109, 729514785, 759602737, 138503813, 274397638, 138852959, 451258444, 604027077, 266533781, 770581028, 626816203, 603864139, 59555279, 775097753, 386760846, 160075255, 22869792, 9745514, 760442514, 660577727, 836191914, 787026539, 119816321, 783056780, 217494854, 854876924, 904807225, 164037708, 605207839, 764872635, 964831755, 391933795, 129597731, 819712474, 354902394, 651272833, 294158639, 237667193, 226916118, 698867120, 71616113, 609314023, 395749002, 687655596, 1038879, 334586720, 6479409, 536101844, 176492603, 469297374, 241197491, 889160166, 406214891, 88702251, 849498063, 288582376, 228244642, 86444501, 908262873, 446586115, 947971571, 236852110, 565245818, 113832286, 800134225, 257255971, 887372192, 613380748, 65758732, 121790430, 237723810, 160511707, 741074949, 252411386, 5588254, 28713888, 252716133, 945560242, 177393363, 285665531, 881603906, 364067044, 480725775, 108119785, 501950019, 45172228, 312036158, 38887388, 710346215, 483857157, 974145493, 100298348, 192234961, 153382091, 784459819, 819197244, 3133952, 712005737, 411431119, 568056499, 728048119, 716325364, 162806686, 86512612, 715309877, 398096757, 857955816, 88573818, 4888639, 685144025, 325270325, 13127231, 67710628, 33006383, 466564138, 682513907, 526923255, 810060451, 452370930, 654230844, 287394957, 471427831, 98730964, 889099179, 993853989, 306695677, 181463606, 765467532, 381674290, 361767369, 733855377, 959533490, 376660512, 776167775, 873162851, 564356999, 486358325, 529332882, 804296216, 440856478, 344596366, 12314977, 501941014, 103645938, 15053082, 530467748, 68073367, 371361185, 58318443, 300531894, 105569488, 92854023, 497568995, 302377329, 894656160, 952973070, 206163011, 467957611, 416267288, 734321393, 766162209, 328102320, 801069738, 816046357, 284407505, 225937325, 143877575, 638054557, 391728259, 579021874, 18934388, 383725342, 150423150, 806496568, 41061338, 557601072, 225411280, 914909141, 280663201, 260120862, 354316099, 234070254, 467039061, 462870081, 990021631, 196076633, 762685683, 195545853, 601767486, 435578818, 347108811, 59881544, 789381570, 272425869, 538169121, 329909867, 186984736, 856260997, 966782253, 872597951, 756566473, 567539701, 286533273, 729146797, 965695685, 413623775, 161222991, 97433187, 420213599, 891548367, 642315399, 540200060, 547933618, 615968353, 378368009, 267890899, 345046476, 393215657, 799498876, 84712457, 653497333, 953154960, 382949496, 808871721, 694963347, 658361016, 156742459, 155045205, 879324396, 397028636, 847020647, 60648701, 663823726, 567638642, 739205467, 392579963, 709010640, 255645359, 536822818, 513165142, 742368718, 614528169, 593370177, 835724989, 382664364, 846484694, 578713665, 556274652, 383858790, 938379915, 287642629, 798999108, 648273434, 256671192, 235726737, 643102124, 302719076, 677789802, 680582044, 289598120, 683910897, 618736954, 546128995, 505542972, 56135382, 513046424, 46549129, 952349465, 845497502, 767079949, 236473210, 188608607, 443534576, 364602264, 889137864, 207927632, 456575117, 635770123, 249694245, 886010241, 366879421, 776562069, 293293689, 72998959, 76584932, 286346904, 117762677, 646793573, 713174784, 29329309, 638995511, 556001867, 398694620, 64660322, 437263738, 859790003, 52938907, 929421277, 109938633, 165531932, 720911641, 555370350, 576048360, 898801139, 238225605, 270182515, 947418983, 899159636, 21713951, 77170778, 38468174, 831236825, 373038364, 453178040, 248330307, 559022242, 630617757, 188396131, 322647286, 748986686, 609920330, 76489453, 714240865, 670418022, 634533027, 562352416, 777360977, 737545590, 799894466, 315034411, 280789717, 699173147, 793051330, 172586507, 988793204, 227244692, 928329922, 819528454, 593040436, 416410793, 657491203, 422768058, 891393446, 422476664, 456073044, 761783391, 8950330, 683743172, 372624872, 621892519, 361933024, 553314448, 357582721, 282820157, 269733505, 37405465, 820379708, 618078850, 959954637, 589862371, 891346219, 265244327, 783439524, 388997403, 796050043, 827535554, 60810228, 992256735, 421781383, 38152656, 465847031, 922293882, 32272927, 16924869, 240291409, 907108434, 781471784, 865707676, 825626936, 444981750, 837450821, 973080770, 474262415, 647336498, 964370482, 947838725, 793437804, 944023608, 233381644, 315076250, 268248928, 841493610, 145138665, 424669224, 712213930, 887988483, 96460297, 313851041, 364884669, 197298275, 284604261, 592858347, 2075343, 833448195, 442031603, 143337141, 909014726, 838707588, 673776879, 237121756, 61869106, 876970989, 183036766, 613489220, 838333895, 135564412, 12405562, 427409659, 389416737, 546886974, 821388532, 399667271, 10115913, 141684574, 745883999, 48313711, 6590517, 142977355, 703459138, 972608568, 290156512, 494759953, 104739161, 110780388, 476133300, 861108460, 691515089, 367789010, 298721563, 300467797, 69640173, 731390672, 49282990, 558280754, 240412973, 94830923, 892592396, 409911396, 543275288, 597766798, 112267386, 326885162, 124051648, 19660270, 618788976, 577738003, 623948654, 613153309, 448841157, 162395592, 127878628, 569779745, 436012301, 983540486, 343354573, 35510153, 498302457, 408028103, 376258412, 975884994, 927380001, 446067314, 891034030, 406824264, 893412766, 879661267, 262264433, 797280423, 169880433, 246411894, 969559200, 999748328, 384090371, 827866749, 894454748, 489027107, 345572331, 431389732, 961661392, 332507513, 355432793, 107347557, 238084605, 918920583, 97684390, 896185956, 60548293, 88156466, 129205667, 137242629, 140970777, 934567897, 179399278, 503119566, 662535078, 455259266, 703029099, 247033655, 252008781, 860340754, 43544047, 316188792, 785622133, 838858491, 725196949, 43172630, 792007328, 143769527, 554001053, 11014222, 925695116, 149609398, 622245056, 864121314, 599588570, 964657230, 858869282, 25821699, 347513860, 977312620, 516342339, 561559404, 553667025, 885779956, 740150857, 225919607, 97708667, 663820050, 167459691, 393864413, 736060706, 912060804, 720669876, 968430375, 597131250, 277474508, 751661181, 624494340, 337452648, 260594848, 152238690, 314531680, 22563405, 567449545, 570290551, 794016679, 669818615, 612415177, 269251929, 222892157, 77328247, 341992212, 781951196, 841261942, 322164168, 825789778, 142276966, 422399944, 23319945, 455235923, 793195271, 810904677, 246954686, 96836603, 954208315, 840976239, 365289189, 734111881, 612216414, 721801060, 882436541, 783255937, 828656905, 842064479, 152250987, 624448295, 426190853, 921453627, 725471750, 844060780, 272409354, 422132965, 373705438, 184134426, 572385700, 797663067, 381914595, 280267774, 395743065, 170457392, 618958668, 972105274, 367589541, 635163512, 546588552, 733719244, 655537469, 280539387, 121639774, 219968596, 516032292, 864150506, 459711926, 738049856, 374243167, 531897836, 696817475, 247419906, 610492730, 726726565, 545023069, 341718292, 36107744, 425482550, 919431850, 494271316, 194489745, 506445366, 315572111, 182444468, 84502571, 827570514, 813967709, 129161077, 572166785, 263969858, 986135893, 121864900, 544547310, 542263575, 891628801, 392400060, 999021343, 226304116, 171873397, 874244388, 153753094, 978028958, 128999961, 165458888, 64182763, 475346051, 305433400, 957939041, 263458662, 543612623, 789810787, 359458757, 202150670, 722971538, 850845860, 785254867, 957699357, 93630241, 664388223, 995473552, 869250451, 662940349, 809270922, 653068814, 400847576, 998458755, 602592050, 874352063, 539871208, 133317712, 427582732, 378653068, 557424699, 551383444, 75677133, 385729944, 558481481, 974238218, 787199545, 28046850, 25124385, 771008702, 892738285, 26403297, 701127371, 344790106, 164066687, 645204653, 514046176, 165166401, 571912177, 189726885, 744400512, 725136018, 922960939, 476964226, 183615986, 532937481, 296560617, 158660682, 775072798, 318014131, 87872803, 65066721, 625205688, 752360777, 192912819, 17587961, 275373371, 557574822, 729558905, 382170795, 148566599, 878202606, 154683890, 42800454, 839396993, 227311543, 128604656, 901614563, 505453437, 666142549, 271377427, 668279528, 148774081, 883423396, 392108787, 334941690, 305193415, 851046694, 448435143, 618731826, 356559174, 569670892, 725215762, 120097410, 640979658, 521960815, 204226719, 667628625, 876040020, 686080495, 295106661, 824048975, 676227338, 60206023, 467499238, 3123613, 432318485, 605501075, 411247368, 780818142, 151435068, 211597401, 928568485, 55980710, 785282330, 608361079, 121393406, 653261471, 792318686, 407129532, 805081711, 884108467, 46674579, 599379977, 490246923, 727468783, 657311088, 350330933, 804377045, 7610595, 346283498, 914809243, 21276487, 156560213, 205836220, 392186097, 692533175, 256388476, 694031306, 922921366, 581013949, 409436852, 431512766, 943553357, 538754187, 637263832, 124514277, 718842154, 226680801, 59969987, 617243679, 447513542, 152022591, 45211736, 446862720, 588508361, 559810773, 426242216, 956690638, 259819517, 863866819, 409729514, 325257317, 845533197, 70777570, 457265305, 38739421, 435541708, 717994842, 763053129, 316013592, 232526264, 813756165, 815997314, 935086234, 299467623, 700562225, 358608426, 854347938, 410643380, 26154659, 137279553, 971839551, 977521961, 202098206, 498752687, 939137734, 166486414, 283348330, 87861314, 898737457, 776251891, 782334858, 687776576, 586619910, 859507133, 669757900, 600830788, 717667828, 786364664, 467070083, 838206857, 685963897, 152844271, 834285156, 19781709, 153892263, 108355814, 869871091, 487084538, 42152894, 587091510, 973734429, 118944736, 833546688, 997941078, 778867965, 115553528, 57196929, 518989238, 32404314, 523484664, 975155550, 371859196, 69769576, 649618594, 646645694, 418437664, 760599709, 470612773, 171550646, 758964466, 952783573, 566038942, 133715763, 497006485, 770250171, 297253851, 525828775, 406903183, 604505048, 821325378, 18596742, 591270613, 646394303, 949445, 386616639, 515095414, 233222138, 335100624, 151177654, 543207282, 566124181, 703882814, 842563781, 592523260, 481123935, 10679009, 384996551, 88143477, 794965517, 165640259, 323308963, 424639876, 517558431, 941890920, 563223399, 539475167, 183967840, 159951756, 134966665, 450726961, 107767345, 534655535, 843012967, 768250778, 858775387, 915709842, 452981920, 552323402, 425775120, 82748517, 516119695, 923708372, 679064051, 84903211, 74429371, 343545972, 96215826, 418203980, 266533317, 260370507, 731183177, 541442243, 290226644, 510617523, 573373321, 17894810, 890149699, 791099246, 44702004, 370279833, 410192107, 561868279, 757002224, 53797562, 168074496, 533294742, 399708752, 384786687, 31650624, 488600801, 441073258, 985333900, 790343333, 266779490, 76159696, 744000901, 937168398, 841915451, 530748868, 738563925, 111966896, 467489718, 176700426, 117976935, 513527277, 310375793, 90600497, 93171621, 604071736, 675154965, 817781510, 628837956, 388127847, 144321421, 176127521, 483268465, 554251156, 28103884, 598215586, 265024238, 945953396, 686235635, 882803294, 474612951, 767767142, 623129149, 169856839, 345419500, 143030288, 257481155, 708403841, 320780620, 788735101, 321564779, 216964599, 618098528, 1739454, 986273379, 876220332, 792402926, 180581146, 648786257, 15534248, 671273964, 527928292, 814420514, 931232615, 906248666, 595702792, 713900069, 752767950, 803155749, 133934580, 28237492, 305367141, 133193751, 530757059, 426481790, 110057234, 648594007, 74650655, 955198191, 855192590, 874385837, 596537114, 430127697, 108816368, 497225810, 318255970, 518503151, 407042213, 925539138, 500294105, 190812560, 682674323, 640176663, 849255216, 101231093, 274146550, 390213149, 142903097, 694643214, 684449943, 428791064, 672788147, 566525954, 953986774, 459145100, 89920884, 560958763, 274599298, 133984398, 812390540, 813018107, 23124214, 384731538, 737671000, 429396288, 374301665, 140116877, 247680322, 705957305, 321477566, 154785593, 339873502, 736378020, 859995727, 965694949, 625421623, 889331118, 390547761, 800327418, 767844228, 934082352, 404260356, 666758867, 391887152, 804976308, 832804748, 674501797, 879407665, 429393622, 739726895, 416038773, 21444234, 394770483, 5389913, 564947550, 847270558, 413957460, 523003455, 94075286, 593235674, 733450906, 717484389, 663488342, 568164610, 868277991, 310403540, 779683615, 212393820, 849968809, 918896686, 994923470, 908278723, 646845556, 325068325, 175505608, 428267075, 307633080, 77149702, 956082016, 875214040, 619963980, 533981106, 868618176, 472123848, 530441244, 205422569, 196533449, 475633432, 579090789, 703164848, 12869346, 930760116, 438277275, 346230381, 711010013, 971112261, 77781285, 197129761, 492988204, 334954038, 513519110, 548862099, 673049424, 466254932, 141767001, 628522472, 487147805, 196230386, 548163700, 19525495, 396301018, 202257619, 598797242, 551314581, 425512448, 80817348, 717846489, 330034602, 330602516, 949010332, 151278639, 287636672, 286985908, 957796783, 926554239, 565323972, 69805639, 379778241, 155633318, 778345679, 57130281, 583254041, 431817577, 119982068, 145362963, 763099076, 600545501, 368567435, 516731510, 660908924, 825997714, 98264328, 916872205, 482535230, 575811296, 413577619, 929653249, 167323421, 831113783, 165394640, 305298277, 748188213, 412413753, 390449666, 208271985, 464121130, 435565884, 601565201, 330271472, 9805749, 476491711, 769426265, 94980073, 84888109, 541787076, 645150266, 176056137, 348376327, 201197043, 561151641, 390525600, 58563420, 648515989, 544919012, 6374542, 361737439, 769191617, 746267424, 986062802, 647932145, 694841391, 757278368, 698996101, 783975820, 963228469, 739312089, 750488155, 625340341, 481061088, 582915163, 557405892, 160978943, 49027742, 570506441, 279184513, 559617002, 884689427, 331260434, 561943754, 659701149, 13521230, 269861200, 465438535, 414963660, 260351235, 615206284, 22987255, 373713119, 989643229, 462794845, 841373420, 793648426, 689862652, 431862135, 515158620, 907671692, 252861163, 75962683, 324743059, 109651070, 122231047, 861695220, 949900666, 111657605, 340029945, 750775081, 743301263, 522708338, 733250962, 45469927, 746762169, 442144189, 92737397, 203370794, 808324701, 995296402, 886333667, 21045763, 968824590, 315812454, 433416303, 397518113, 661756647, 665996821, 280768907, 55496314, 62789534, 96667421, 311262795, 414763911, 607336705, 430731748, 573181241, 832689681, 921856481, 997916216, 754219255, 614746984, 245882767, 244795793, 184091179, 20294712, 906040454, 820013994, 126398, 174143455, 645013367, 637271421, 519031774, 329863761, 810083469, 913068927, 326023927, 399672736, 336659137, 405089130, 905063978, 914002695, 411510847, 720798797, 583851634, 548348213, 211898053, 800023638, 891373152, 728720849, 715513758, 376857753, 218610096, 884416707, 228559141, 16428912, 373683130, 476096933, 304355713, 952268771, 452086021, 580692650, 298249414, 547435969, 407169257, 147153438, 895933765, 471816602, 747606417, 681544983, 946808150, 517218615, 568498116, 475745676, 341112772, 806390443, 123394172, 725791210, 830755668, 254744631, 735217522, 978511300, 749208488, 587912008, 911952324, 342924919, 221774881, 430678947, 800217803, 18658762, 587509766, 887352779, 650205231, 988995474, 886518436, 175242783, 611470329, 828721808, 201548487, 669131527, 68541894, 475408519, 722448924, 798685023, 858861714, 533320902, 594669921, 673984394, 583325363, 100243908, 280475273, 464327534, 264753686, 450059429, 823758976, 88758937, 659284670, 184407921, 515882506, 881234616, 655566539, 730694100, 84262147, 933173327, 190185637, 873371834, 907881497, 495801247, 93847099, 102388760, 881560428, 866557307, 98863117, 992720055, 194188293, 902930642, 520999805, 856346173, 515791440, 714085294, 382469487, 456475202, 219429564, 932079280, 684004576, 866400899, 751750696, 10394689, 413936319, 335674410, 550256580, 82409787, 421669629, 567409406, 468326495, 772554252, 409132740, 479468303, 541524899, 470579547, 388728038, 18058534, 553713413, 820274706, 507212585, 924425232, 587914240, 297907561, 732170780, 826802852, 962039174, 314789168, 745533305, 713550267, 429115180, 981015931, 119523004, 462467952, 693290073, 525183166, 160014523, 548275957, 108749219, 863109294, 478798920, 781033736, 896884882, 354571884, 499946143, 604953206, 707135457, 960709805, 371644, 726407050, 743900716, 450862803, 319501780, 212855034, 609338781, 484234335, 617436576, 252229965, 794414690, 374667571, 143705731, 259490979, 80491355, 578891147, 807481322, 795609594, 286044049, 637771722, 329346168, 828936548, 860710537, 43521261, 675101534, 428503351, 965647864, 385605782, 35365558, 69009574, 620101598, 24448726, 754432615, 227775014, 23043207, 192097769, 84913585, 799999844, 836290540, 864107702, 195108140, 478641369, 779903296, 553771900, 932239809, 833379281, 282570078, 260834726, 985887528, 559381044, 871816638, 465538162, 305074371, 534951628, 747725895, 214050370, 434099076, 333144056, 850430845, 292136416, 54311874, 875600733, 559443580, 24898882, 879172133, 878628314, 737478569, 459759138, 383481741, 291196584, 764114630, 175261149, 388400003, 771958661, 488794635, 642576096, 374909455, 563225805, 598859208, 907984915, 700317622, 731275242, 978889720, 387219744, 59337858, 674362482, 138483923, 781382256, 662490316, 14446228, 206731632, 44517849, 622434319, 727591295, 2030702, 145189054, 445189403, 584258047, 718771582, 200760019, 830716513, 209739329, 876744918, 232225161, 468254971, 517261578, 799937660, 807072655, 111592634, 68446445, 226674156, 728936229, 228037370, 542491144, 114359892, 280129992, 846091257, 667228019, 167942450, 494725086, 671974136, 614488391, 619505778, 713178374, 229424032, 804332676, 906774859, 428368582, 239493666, 978509828, 276500418, 619227605, 763619467, 318150750, 707080672, 429615871, 283906113, 926086933, 21787960, 946290072, 138776480, 609458039, 423037733, 92989616, 693394317, 750255391, 318119310, 827325213, 204491938, 870326531, 336135176, 458568320, 217125137, 707330566, 586046741, 510945360, 672179039, 882992955, 660226296, 249734315, 460963464, 260740863, 387485121, 533477444, 829484530, 254710245, 687285260, 675225955, 49450508, 933396766, 286984317, 78814429, 697375294, 180531523, 126266492, 163424336, 965744791, 548658442, 670364314, 158609458, 545967743, 607479737, 534032031, 757540074, 334652182, 234884528, 320781894, 110640926, 610657211, 930713321, 379146203, 344771713, 235552630, 102697584, 474954785, 657227725, 185815963, 625506272, 802643078, 259402637, 74022562, 447322505, 542340405, 381156376, 420300475, 271267431, 76247478, 1037096, 342639085, 602359352, 592212644, 268474184, 838319807, 594382379, 749701190, 874884869, 620444770, 899436315, 221852562, 86708153, 803520601, 479619209, 275533326, 527261152, 24737067, 970949255, 524556148, 810005832, 737907884, 173159116, 248509162, 602715244, 234744721, 213374871, 284562739, 71600292, 992768388, 950666793, 925143060, 380501043, 851563748, 69796453, 823367043, 188615074, 799073991, 54593723, 46691080, 126530152, 582325058, 643690380, 759648473, 588945749, 234917306, 386671336, 24390369, 872017064, 669869696, 400906489, 810166757, 198571376, 333466111, 987535032, 298914222, 9104436, 42254869, 218357870, 497676527, 243195341, 933518363, 822595385, 474190187, 846638892, 257835937, 104901385, 147440677, 340438547, 508406464, 616436114, 351323622, 596098501, 593615204, 957006851, 440950114, 250926684, 692197290, 551088026, 483295970, 85296948, 545839596, 137548448, 577626925, 738069150, 975267278, 985090835, 476774085, 879241177, 983196568, 745770222, 396745682, 592346449, 656298550, 635813626, 449868860, 415109598, 657282870, 770049378, 100300184, 828370833, 841948778, 204764325, 779508966, 58957202, 779736428, 55622092, 699985522, 782802804, 564341341, 400534912, 289284553, 386736361, 10465441, 5737442, 297967759, 502823425, 822487894, 72313977, 225626944, 20513366, 108929526, 607118958, 969435315, 12564543, 566596839, 142643157, 981190087, 948147040, 541631485, 485114948, 510761708, 997715562, 303754547, 422270876, 715699865, 796732507, 218833340, 538194760, 980623153, 608191519, 784937479, 302234688, 257584217, 356692867, 653171800, 38690464, 738966198, 295549448, 533250839, 63152001, 302876563, 756038515, 891440023, 564170037, 33605722, 48054040, 719955702, 403329310, 415419235, 747132963, 472975809, 339240821, 751223816, 381352391, 120738605, 783154418, 586147718, 144200159, 481543492, 45057972, 245177870, 449539331, 857332904, 67672868, 499782274, 400236293, 504511688, 752898372, 342129177, 973178352, 300249907, 561122341, 635207847, 327492347, 580514432, 613365397, 473038701, 526380205, 298506725, 375106204, 135562995, 5558166, 241545839, 83147683, 365947353, 126887961, 86107783, 906661031, 717814396, 6030185, 587863558, 869215132, 410589969, 656230109, 515283542, 990068493, 19500818, 940124925, 334283943, 341148322, 730987678, 149251031, 465189712, 35753195, 181667237, 718627781, 551350460, 294085287, 998062834, 687171390, 440417558, 260660568, 256456963, 173286123, 165577075, 252990616, 96816550, 998883680, 101845254, 809734698, 275934573, 799572586, 761625872, 123187779, 460094424, 663392335, 335126774, 850070939, 854999325, 780184920, 36756263, 466322169, 895024627, 203722533, 464079809, 756530670, 986042611, 918297851, 998636546, 194216613, 225076191, 871241355, 188121100, 458747435, 162984434, 924195, 628229240, 966361250, 90914124, 895434155, 231806630, 840312514, 718757317, 708022374, 195499584, 505831636, 340250478, 272532988, 666438592, 511952191, 484352325, 541170434, 851702413, 392435733, 960921507, 727163473, 715065297, 722887525, 157325552, 76537151, 916805366, 739836340, 526073806, 52564014, 603857096, 752038571, 798245592, 168972999, 945903841, 449885112, 228916421, 85790551, 731477363, 493354905, 997696337, 812363035, 941481425, 921622378, 865613764, 901895356, 535753482, 117563951, 579753227, 804723907, 971400807, 533432436, 749455702, 640692683, 504828106, 612273182, 885852840, 625606035, 723132352, 486408203, 901475905, 10294593, 528222438, 566319066, 275528367, 146900178, 192422710, 694481158, 2411676, 114157006, 199764118, 276133451, 203086809, 378004186, 955189728, 730819734, 224361847, 757397519, 772247497, 610546072, 740993864, 948916975, 432011820, 194718347, 341265835, 308545303, 216990261, 351218464, 421229639, 543573844, 159805567, 433477934, 728562013, 565412384, 660024411, 647300498, 50320269, 194972029, 551146531, 465029853, 932863763, 650105045, 848814264, 468226577, 748774021, 505576531, 482819932, 283946969, 787750360, 67672302, 88854574, 468831720, 828568788, 914726275, 580346697, 991267223, 161417262, 866066234, 873859640, 371901394, 876800861, 534687312, 34409423, 313235170, 571496940, 79515229, 503313538, 518915929, 265013117, 514612991, 658076123, 64967574, 857424887, 855319071, 181759201, 245501566, 423526924, 435817195, 363128806, 70830659, 841781162, 422732324, 423020470, 723887142, 304598103, 183162885, 964369580, 385797980, 181217533, 581143418, 599274425, 461660935, 51185028, 927424407, 122802114, 134761301, 976074526, 471314284, 309031037, 299880487, 595461537, 615849478, 749303606, 416163084, 682367829, 741837186, 408006481, 677440643, 828079620, 315231205, 738066905, 862196318, 772475459, 434365275, 29785231, 26556306, 490342109, 318751496, 120328776, 572473093, 493397615, 535093956, 137836418, 381763508, 793961720, 60761203, 435919, 743668271, 588021863, 109318051, 772318998, 97647125, 892300701, 686308019, 301639038, 572214987, 791890999, 166324368, 438485993, 788738812, 239475011, 380805978, 166923619, 41150339, 561646541, 315235499, 46801339, 642128077, 710032980, 445607838, 231060973, 856868460, 431866651, 461532122, 554829729, 804090512, 924541976, 3553285, 281770699, 233149010, 465841348, 329975495, 804302827, 71354872, 103168910, 243686383, 676908695, 591164460, 448406685, 830351066, 504654440, 583013951, 888053024, 29334340, 308076148, 357545526, 978790409, 802661059, 379376424, 410012834, 937434007, 821496902, 624630212, 459612166, 55035634, 738705509, 841764340, 281334857, 13813325, 908655323, 558798752, 32754814, 25153591, 940121062, 490327123, 936296837, 83312785, 175799938, 405457906, 667817809, 541641430, 65935467, 611649462, 259881811, 459327606, 761633945, 948899208, 581707672, 700069836, 409557473, 628244320, 821182310, 402651838, 765219360, 831345335, 641024574, 419131833, 231010283, 375125431, 386085464, 420194301, 646738223, 860128496, 56074603, 554654327, 889589109, 547358187, 13694140, 358128442, 522947701, 114393503, 480953780, 652544843, 514342109, 165744003, 449432101, 691182025, 32211816, 201609502, 953778723, 842240936, 591118275, 66369697, 711527349, 156714315, 736677390, 584720923, 10449065, 757740841, 752927677, 760500470, 283713420, 144746051, 925832671, 132657651, 851363353, 866275624, 746022256, 982846139, 244668596, 558235454, 697586679, 52822042, 616800456, 28171664, 62001361, 675650032, 851653440, 397227487, 930402797, 129900309, 595060140, 763677145, 505062000, 850335362, 81450747, 538160990, 710431745, 5263649, 113351514, 821208069, 598383704, 865897504, 626631562, 441766021, 957064908, 62872823, 57838426, 777244737, 151428974, 265460418, 457109486, 644053295, 883019010, 985909655, 704140830, 230079619, 726027258, 292683, 448221228, 635515482, 423201379, 992346281, 676552408, 460655475, 383830065, 209046692, 848341581, 642078984, 780475489, 524870766, 144814273, 248197865, 190806276, 591452523, 931440879, 370141432, 611960411, 780515039, 465074224, 552353212, 18053522, 47077437, 480213866, 115238271, 165198872, 469604725, 697377376, 297681903, 173225767, 604917948, 608976295, 170550754, 989637845, 724226541, 420587531, 176057172, 707867567, 190785073, 999007447, 236992522, 917244832, 874161868, 549758361, 75081478, 954160229, 280161792, 607883447, 254303672, 101701578, 421330032, 910777984, 295325039, 481073763, 715373558, 35221157, 731455799, 761419152, 371348939, 247456145, 329963691, 600066153, 977533689, 956536959, 327976985, 668147859, 914318433, 166047794, 150019267, 739793118, 568796048, 223985076, 630555746, 886367856, 449766888, 528145246, 849408814, 880142430, 166810634, 29354883, 268004055, 186500623, 657913635, 438481589, 329354704, 797255999, 312529890, 465868777, 555565427, 812979244, 451063934, 900846099, 804621976, 936298913, 205353453, 787924275, 715200668, 678870843, 321438419, 623754229, 813543888, 73698122, 84338888, 56988708, 538463497, 717378686, 400889952, 956514712, 524095332, 269186414, 93278545, 685346789, 813599436, 825371030, 837785813, 67011576, 966586768, 490097547, 708133253, 820441644, 238448156, 626362054, 682046757, 540883368, 626276746, 303820628, 851367382, 316265608, 644128299, 266000812, 376659412, 836977402, 627192730, 962657417, 74704161, 39383790, 702915661, 553241178, 441549278, 157230877, 19157522, 85347778, 77860278, 53942706, 462699429, 237503609, 144862104, 760520253, 594274566, 960245161, 378462891, 999789997, 515038745, 677221435, 140146051, 143089556, 806761971, 712797968, 742689570, 458271579, 297979077, 915237857, 890306143, 824689473, 699877399, 554746892, 710140849, 409396529, 976871914, 639445115, 239240971, 241139765, 404045962, 458020250, 807916714, 554806331, 220091311, 292236554, 138889187, 177906523, 120360570, 239024630, 747840369, 435111797, 334147145, 828903060, 516193229, 871830841, 252330124, 486676708, 218669420, 739789150, 856954502, 666852814, 856690389, 344911435, 476226993, 256804638, 408458139, 309697270, 688620610, 751795784, 906251710, 70378518, 421901648, 423089935, 684341436, 991234940, 971455081, 339826746, 655398735, 177366935, 919107683, 795701080, 911044276, 174614953, 18210176, 137080178, 471556323, 192746949, 505456262, 774418133, 252559193, 65146588, 846064683, 800719105, 475402315, 709472614, 937377085, 924367161, 769621634, 473963953, 471857394, 715052761, 383137386, 576835487, 221363912, 65385892, 376712725, 183304550, 176005803, 352824566, 262018865, 860754519, 574293743, 98847027, 316499344, 586136828, 537252227, 769616879, 852009990, 443119961, 213882916, 649360831, 603076659, 896127783, 840845054, 44859205, 759889313, 255315400, 120145333, 71783670, 131788600, 949155960, 712408825, 56079504, 376609321, 30025570, 264909088, 938573746, 299864319, 910938941, 576712961, 138560869, 214307082, 631887622, 58518897, 127040537, 618278152, 729395076, 913451477, 452822207, 160153925, 315213012, 451055449, 335358119, 551706402, 782487802, 575777513, 851116423, 396667945, 671140224, 951193156, 303078567, 233535935, 537334391, 290017350, 427761441, 261317762, 572194498, 79463172, 491864154, 823689051, 846719374, 214323943, 604677161, 286113118, 209333363, 984173469, 686192409, 854990860, 92580437, 545786489, 243797129, 842352387, 106861178, 20533317, 846866680, 154752522, 46627498, 905092065, 112196, 299637, 958985218, 953654412, 996002092, 304715647, 392617653, 948913678, 838022163, 666139215, 990628967, 505483582, 13508762, 932609761, 50327245, 846537776, 661890470, 956545272, 50409495, 754730070, 870931605, 207863377, 108049268, 429717296, 305287530, 870644795, 366924870, 951257041, 583622161, 261079607, 129703276, 954029183, 821580060, 401848443, 565564915, 570627690, 467987242, 30608258, 328516103, 37993054, 203628152, 939155506, 328733924, 496103455, 559873118, 218361831, 832865970, 17005262, 826617130, 904243672, 29210576, 369611000, 22287254, 114801494, 137634774, 653634065, 498179644, 268288701, 595607117, 330426919, 809754252, 802750180, 999882259, 755989653, 661772537, 444492213, 543579390, 905529044, 912136076, 673376691, 727233973, 125844358, 254887923, 228029816, 200884561, 780767002, 530716216, 171239914, 129772458, 315561467, 183521551, 946656463, 728788777, 921436729, 92685250, 865205865, 90568284, 919535057, 756682557, 241027247, 496123527, 986686686, 622353091, 816531309, 641788641, 113863053, 824067199, 175917024, 945518523, 378763368, 765437765, 566214200, 905111981, 336065633, 964896530, 229729320, 264724499, 919807349, 402990775, 862894669, 328144965, 293226084, 753516422, 975263547, 436250986, 754949620, 235599301, 76416058, 162755405, 36460248, 327077211, 886401182, 76319599, 722675368, 15723177, 682007307, 103167861, 562479365, 226743732, 28672937, 592801503, 172154553, 906183274, 985646043, 100560061, 621730335, 336286168, 415185279, 646825602, 516497177, 961205757, 649709727, 276291185, 563866038, 251934214, 404407379, 201707822, 315134183, 249898647, 845458949, 249808810, 820350289, 958046407, 808483550, 834601705, 960860877, 362231871, 729135286, 56050104, 916397243, 43502541, 742074780, 468050630, 983192592, 521388556, 521705118, 977907340, 418205653, 311325120, 553621935, 282316769, 391798058, 822361849, 252740974, 461523576, 770079300, 574087539, 123519746, 56744740, 632493722, 872560557, 899196234, 573997690, 66892146, 634157034, 848795551, 576204029, 934928695, 420734646, 786245857, 858900441, 194159381, 49599675, 645151056, 13834884, 746095992, 251297453, 137815873, 276825305, 83478808, 415452751, 627491810, 500696707, 215421927, 569683404, 7315607, 476677816, 553279272, 870905158, 656079766, 715956957, 470604357, 633304086, 447442103, 389665651, 883434394, 369486533, 383585845, 425063276, 656829679, 3149353, 611379346, 665538510, 167898998, 514367815, 894402293, 961329947, 762491758, 544600686, 580185081, 698926463, 606059538, 50592532, 502797252, 835755700, 691872830, 225546165, 720900551, 441681401, 833351745, 416569219, 439665373, 380232098, 55905686, 105478414, 199512684, 920533599, 369081545, 398399604, 44258562, 870462807, 858711053, 807030750, 597624967, 271641954, 841324805, 170768472, 848099668, 58233066, 522308922, 18490830, 930659160, 275917698, 921881562, 917305946, 855442377, 995728982, 700743290, 640129649, 796806617, 852901832, 548436388, 895590995, 73436958, 248048912, 729633410, 788092345, 976173698, 69365275, 750000106, 231112576, 310621448, 872577522, 839515904, 766400388, 462375429, 891578682, 692313596, 378147677, 340085948, 980709520, 750038540, 223682458, 264145409, 977324712, 424408416, 83305555, 884412584, 347202360, 564886574, 544349421, 567850346, 459022203, 780707538, 132472997, 651729288, 468942219, 481477233, 312762752, 708203638, 469477097, 264716281, 323856517, 283556647, 345747631, 325638637, 627490152, 652058578, 194437580, 228350139, 242177010, 682792262, 843197226, 532684615, 398492937, 582811868, 960024370, 3682272, 541541574, 173609987, 921728544, 692554983, 389344105, 777700577, 730547442, 826787612, 962814732, 438300416, 529579866, 594688593, 156694815, 627686985, 855031500, 31644694, 96488222, 134082955, 707709593, 607750350, 22689561, 879135776, 679133237, 926060167, 31382625, 736840376, 985484680, 951369344, 392009873, 126616281, 949945405, 93081454, 12666341, 136082075, 123809054, 922038926, 748581935, 830478038, 405831082, 521778741, 175857563, 577794762, 721455112, 383875519, 756280643, 408204345, 737629043, 749558627, 602290816, 641060327, 75532022, 708860993, 778578947, 153269542, 776843632, 496038364, 922902241, 725186811, 344339446, 62375307, 179087082, 536565888, 355473280, 92670008, 898950539, 225375705, 849257077, 846738997, 229355181, 28959720, 700976574, 602412523, 69822858, 720127373, 463584384, 205872666, 326555065, 659948270, 75384339, 23512863, 488383871, 834840985, 768666741, 81639340, 944222223, 977470708, 700833526, 200785773, 969731118, 271208636, 173033101, 758481502, 656826263, 909943206, 55876508, 561507577, 965685084, 311676854, 559979159, 774768246, 43887246, 806268245, 853642353, 987938803, 261981652, 250941057, 583312314, 538444293, 13555052, 160655765, 343808538, 820829676, 490615677, 455879672, 992125904, 604424219, 411715709, 191984023, 810807789, 189458942, 397451293, 215015058, 900632027, 939317370, 32131876, 371816645, 583892115, 500603678, 352207975, 327700254, 129051291, 121558358, 702080593, 30960284, 304001634, 453883094, 263876970, 126125236, 350502928, 337770019, 201403672, 103397166, 55793389, 610930754, 683959231, 155749740, 810719793, 695139445, 229632327, 453902410, 231059761, 277856389, 136217145, 595790665, 830252833, 166478312, 707203500, 673583692, 200683664, 940157830, 551650320, 224316319, 550408584, 562947013, 67402908, 883226423, 486367892, 917452981, 467827665, 71729281, 700758438, 366271748, 471514062, 803372351, 196582062, 148624990, 122685977, 111083022, 837318354, 357710970, 584286555, 890564308, 690421114, 39146276, 708554139, 576243697, 594285058, 859057347, 400611209, 582910284, 147284829, 40394114, 805970330, 756863230, 325865573, 100888483, 356923159, 88377138, 636390268, 523434050, 368152087, 624620911, 579431353, 42497043, 969820791, 299374822, 308159813, 702175154, 939335999, 456804068, 761602804, 943952152, 997960914, 479018906, 860745522, 554536931, 149810208, 495559878, 857893405, 25721712, 534519131, 544308690, 32299516, 188350752, 972140613, 655297387, 257296921, 917764592, 335672895, 280112458, 325358770, 607886021, 293396687, 188670220, 835349532, 890719274, 184008301, 707433688, 38456533, 887664779, 756760519, 882256116, 978353484, 264497750, 152421396, 521376097, 803685029, 597054891, 802781125, 396403851, 504697923, 91482447, 268405498, 549995692, 551306558, 358047053, 723338970, 515716889, 398558332, 244403812, 463457169, 123666112, 505452231, 855514358, 901432864, 341412349, 14461591, 758180969, 966753962, 647028359, 808997039, 938766646, 487492906, 516654777, 72680100, 111521284, 52485651, 12415555, 760356278, 425994613, 667255866, 690981038, 790293942, 834770437, 649385860, 416399555, 871392417, 247490400, 435762999, 328613005, 184355384, 253426420, 391886819, 523644636, 297265913, 438550475, 418261452, 532418530, 857765117, 585071133, 919004433, 358601121, 476249662, 699880980, 655916721, 468653762, 387409869, 920452553, 921279852, 260019161, 113284527, 871709053, 958114481, 501500363, 440003328, 513405792, 95510357, 786732787, 709988093, 321287583, 887042288, 44150923, 779942807, 54525564, 792932326, 344066674, 476623299, 551038752, 143835553, 199052933, 819277571, 349489093, 263085058, 35096467, 705374463, 590501466, 448354092, 635017452, 587910394, 500844935, 400636400, 585228434, 192754503, 794340948, 453773147, 187174836, 643711159, 319272695, 908856553, 192860718, 401898617, 919924294, 64667169, 139515306, 340432089, 969703697, 874792247, 434625948, 221246614, 748172402, 630583578, 614532122, 794315068, 706727110, 910548502, 336155991, 750454626, 402837668, 12697623, 329681015, 273807737, 502759985, 425288080, 902748163, 485834251, 620534362, 863518169, 835003766, 284927718, 338536546, 20561896, 222795812, 245147887, 880655975, 174868338, 416200790, 626684292, 247184873, 857121725, 973289228, 253320204, 201557228, 822321103, 197458093, 14844656, 509796552, 936617439, 592838062, 906237408, 261344098, 531646160, 303351859, 785849058, 860382814, 554082673, 949009612, 126467059, 810482477, 663764488, 571523311, 795694619, 782326409, 104361127, 272416162, 213123402, 702204906, 624352306, 354169893, 787576070, 626113079, 405737501, 644873493, 272345896, 543712582, 596540508, 168217505, 272709232, 330573796, 203685204, 302278414, 738187848, 425899921, 684264826, 316570898, 444051648, 692090960, 855758863, 995080675, 568771600, 823156484, 66740492, 481695330, 51974606, 701690716, 474102222, 475785291, 769990123, 661160432, 595256715, 574812299, 654440248, 98803644, 928201015, 960328389, 684898983, 315013302, 139869957, 24915240, 3327391, 504233458, 719864300, 681960816, 573612168, 606992275, 533432116, 295670418, 945518849, 105651347, 38904965, 886932361, 603389563, 242067801, 35808766, 860453644, 934194387, 640536761, 11289302, 265442880, 17875945, 749340994, 742185679, 438688316, 798298457, 249657105, 848926801, 329381330, 764840396, 593585385, 944333965, 412487490, 153144171, 782783295, 798540285, 285437524, 673833636, 180518430, 316423825, 677448673, 573867014, 669055326, 600682247, 864390637, 754626024, 664383295, 944319188, 950222490, 640079717, 722034505, 245102806, 370341, 614727322, 638716774, 975417037, 794012652, 187917292, 270626440, 804279034, 437630378, 514739973, 593759895, 733882943, 359213002, 798719033, 652726125, 298339457, 659843174, 460104375, 381089534, 650612100, 185717258, 428424159, 95942198, 235157387, 945979648, 405497162, 156669756, 556813634, 766100816, 445630904, 336472665, 30361939, 621154778, 932609491, 46497215, 216071175, 14083277, 89555529, 729334321, 484494032, 940734432, 781643290, 763625848, 387054702, 920403942, 675539297, 174425054, 725116467, 927926536, 480359565, 86840971, 614263012, 307820388, 923811961, 556143527, 162115507, 448855786, 646450586, 443432899, 632091540, 419008352, 466221681, 735492634, 960692825, 382541874, 592446403, 368482601, 491676940, 982953211, 366144489, 345258442, 963405787, 515688992, 860675361, 143401098, 94082829, 707206925, 151207314, 781234212, 222700841, 523779611, 151216736, 999524801, 301081266, 75155613, 692790736, 708029103, 111119756, 449069957, 465097396, 620487442, 127143948, 261124522, 261506679, 303449270, 549125968, 770971328, 511720863, 453047503, 725735678, 767628809, 105599169, 299842834, 214008243, 359908293, 162631409, 10365878, 915129137, 901414871, 512015043, 139292103, 738126349, 659331747, 645832921, 856312599, 675626293, 317600409, 220197527, 656543482, 687296054, 185464825, 317914996, 6786333, 815093757, 556744207, 616176295, 778371215, 285773040, 322746971, 657830045, 751379694, 243084447, 452185644, 828335303, 908896480, 989115992, 263856708, 118931166, 887386521, 216721561, 499166340, 417858314, 579208406, 50902572, 965903349, 882045655, 599817827, 109603552, 766176808, 593687305, 32237903, 443799839, 375924343, 253007611, 822371475, 176051481, 236858610, 324188904, 238383252, 982724940, 280550866, 465577771, 676680134, 105197358, 378651515, 380094159, 77092831, 580002729, 672434637, 713354491, 458945257, 286382361, 808766109, 453641881, 235715524, 81306744, 329381221, 860538083, 929289283, 295237387, 536837977, 590161724, 650000477, 950168814, 226583369, 432854682, 785626293, 507697490, 93740552, 64380398, 686537629, 139958898, 591427240, 869325601, 232247266, 680534858, 715044575, 207612560, 707820890, 265557402, 23597233, 333420463, 104855902, 268362180, 997183233, 861625804, 489000164, 129006841, 671428203, 392068678, 920890315, 384091965, 482159835, 60560458, 23331273, 922416045, 958922310, 696965753, 39029891, 585043915, 503178364, 408319234, 99895195, 776333395, 343207165, 965161290, 313428793, 392884010, 794715218, 828029117, 988037434, 722617191, 178831418, 590307004, 768216725, 956036514, 497056124, 301056276, 550706736, 181028595, 989654714, 323579353, 62843817, 101353434, 485720308, 229437677, 844110627, 896490978, 588493838, 745795723, 360503327, 770966554, 20853207, 154898569, 909746246, 972072696, 828680471, 358192988, 52940671, 479522307, 375247654, 373895078, 145385344, 521079278, 994480575, 395003018, 527329108, 181736575, 235737143, 852098233, 862066536, 586835017, 852518001, 880317169, 564304326, 827997520, 120717853, 535836825, 129227870, 255580066, 638769489, 928231225, 809510793, 157254495, 584274839, 588192060, 965473119, 168133090, 225625917, 650420338, 795559173, 142888362, 363973227, 635562520, 504587634, 314477625, 585578446, 552135074, 476298191, 518789654, 294229216, 752188167, 768694030, 532171191, 769907525, 97819289, 634700441, 593080915, 726308460, 715340765, 488032457, 377980928, 180098346, 57624264, 94704566, 347567153, 285369683, 539644556, 391756821, 839765483, 490497563, 548928943, 599003444, 427583169, 574957892, 188450771, 626950102, 466792327, 798362000, 664567071, 460952522, 711663779, 731800991, 237964336, 176285041, 416369888, 4811902, 371781935, 342373965, 526734537, 182525197, 502545048, 603679606, 88271057, 721554294, 325714682, 487609392, 652514006, 738087946, 868034025, 42095323, 523696837, 819998166, 326586990, 887181837, 282184313, 555043394, 574333765, 985659103, 75896914, 272043476, 578467640, 186783044, 667756373, 303681052, 750168624, 570328983, 219074870, 290923010, 326701642, 427682597, 114765056, 293460151, 260504630, 677079279, 136799069, 983649762, 323244950, 650334982, 538198163, 297197099, 79550470, 324411624, 104250671, 444079167, 274272984, 452337385, 884351633, 276438210, 648970476, 710233351, 887946651, 617260135, 432707, 415558277, 549334312, 218592370, 451701990, 112894421, 768432515, 743031143, 816216242, 20441344, 335324430, 416168274, 396355587, 639550204, 156213013, 645077861, 861998967, 357809780, 19732213, 189312310, 877973659, 424517645, 528848367, 20491617, 90356921, 911308032, 167638020, 471744547, 141427407, 966500949, 451357804, 40928490, 283877779, 843801933, 999146454, 755296802, 765770991, 270435468, 215900742, 516595976, 307149994, 164694938, 415673216, 823965642, 328939624, 456184575, 241794084, 997688795, 239228966, 757076469, 446792919, 697030618, 860717887, 142353364, 345253514, 387137624, 333367922, 382343136, 353897647, 164047905, 151839930, 458558305, 110736036, 716061851, 721211157, 345059634, 982146594, 345627108, 105917876, 602898134, 47064089, 285569692, 569800832, 179221649, 61388578, 501513428, 23575322, 795221002, 61897167, 144053055, 953331385, 44186969, 317469024, 432661467, 695896867, 208608683, 876360916, 550493793, 558870302, 359003314, 942326196, 20753216, 786958411, 432835606, 316645705, 473169149, 557990056, 259878585, 893245072, 782002623, 205011263, 443161086, 229300296, 763698940, 335210098, 987528918, 488116168, 72866843, 257486222, 857581597, 227969005, 543593435, 276114744, 463412339, 317985327, 632053938, 54683420, 836313861, 245871923, 951602923, 34506969, 617218091, 797084729, 210052371, 950493172, 203852702, 295208819, 397310424, 143770456, 525612819, 764982533, 746814756, 421536763, 970933121, 188574366, 317733612, 613854847, 884990256, 112707046, 526901204, 20174694, 577531537, 499367341, 767898116, 369468643, 813127810, 614179515, 207270520, 614991490, 718624615, 708358199, 533269592, 25596282, 926864664, 50202150, 900377730, 600655245, 856198576, 521745716, 113175124, 76879721, 703080383, 750792369, 54354237, 158229527, 826972470, 86620541, 231512828, 35719184, 285848032, 381313012, 430182972, 397784744, 290285431, 147930931, 857884080, 749614548, 230805231, 750500414, 741368356, 509127710, 250449003, 652843003, 779704416, 987207096, 835158721, 416430411, 855312022, 956819922, 715917123, 72204936, 942920788, 41314005, 40165625, 301873442, 926760794, 804129737, 912538096, 663905383, 893675117, 66353581, 533073677, 786598178, 801382681, 256169131, 608365922, 732050880, 971751166, 496086158, 354347180, 396406029, 911490803, 981205104, 783764430, 185643897, 753816186, 414055342, 999332386, 200324334, 91175970, 597603860, 375098602, 425059099, 127037801, 305479748, 961322178, 463733629, 851381816, 766286128, 338071229, 126546228, 536764684, 779891875, 965149261, 349680873, 805293306, 981590963, 133617221, 145711304, 717611295, 577315218, 580088322, 642507661, 851354295, 351790329, 845295499, 520672491, 958979377, 883011649, 451893744, 584530711, 608298560, 702933921, 35735590, 380048048, 706839851, 916113857, 2995882, 928003108, 707614588, 562634020, 638468944, 780323649, 229686680, 191318790, 262365354, 152824907, 241197789, 324015943, 823543821, 903099581, 749478660, 308860658, 282157358, 208500181, 319866734, 633746609, 688998323, 552898151, 186647199, 879745896, 615983645, 900124210, 522123035, 192644410, 292854209, 371031081, 197963206, 336735156, 27850315, 436926620, 393476078, 838932336, 163174924, 981015940, 222442984, 673218469, 828681798, 425931436, 10753166, 513730984, 107906718, 189627153, 109807840, 689069877, 237043119, 140164364, 454697480, 531552405, 55344622, 948921201, 483579204, 160804612, 678109401, 741788538, 910841448, 747481925, 770655095, 970891811, 380472818, 708103094, 734752022, 230730591, 357956153, 827370516, 197639843, 756176534, 244490907, 380944695, 107937052, 958028095, 574839888, 949216965, 612005329, 29486519, 560410136, 742753883, 557902670, 33855007, 415021238, 331984733, 914255889, 513621284, 486871405, 922836059, 736416147, 244067830, 865196088, 352616712, 949655815, 406761668, 637790167, 571195043, 228352096, 669838374, 979087355, 309631908, 541579609, 993913770, 835667557, 869548927, 852036816, 756801256, 769513486, 385018677, 129503778, 410307686, 687614385, 509248084, 833126123, 947140672, 441347616, 291781189, 803879176, 508550394, 639705140, 654598553, 125453077, 310997921, 380987503, 919756559, 359874798, 840038576, 738898693, 920180799, 755772666, 978192386, 124633010, 833818411, 722110167, 370398563, 189654626, 449567764, 605628064, 144970051, 533896610, 593871553, 758264410, 891683111, 983992117, 506511711, 791256241, 309636705, 756208008, 411505732, 226214474, 936569746, 518007580, 377805058, 21109514, 234241084, 477312461, 982205995, 827728157, 427884633, 379028102, 7089713, 546055320, 896239475, 130767171, 9398098, 276214540, 4372550, 266345018, 756210376, 273133719, 895728944, 364322660, 380218439, 196739442, 975511089, 472386146, 234987013, 422428022, 557131588, 986434205, 150839948, 379423659, 941195030, 467562984, 219281908, 999309996, 869469723, 358049298, 75830726, 412495991, 471432900, 824912183, 337559659, 180954684, 32935218, 906900381, 87223350, 982802948, 317469512, 614766643, 972943366, 902675390, 470632698, 399613386, 648646160, 132879332, 76606226, 386686828, 237420607, 65634409, 672647678, 357072612, 47302329, 803432752, 503881102, 721070545, 246528412, 771286641, 556142873, 250631187, 276979004, 72662868, 229450146, 725817839, 162811472, 792776833, 136537516, 541111601, 815531206, 130862232, 61522483, 506300652, 277017611, 133392045, 549045298, 941839351, 111101917, 509278170, 594921731, 120013364, 916980974, 590742366, 706185040, 726829942, 430625870, 67311630, 622860316, 977525558, 778843887, 88878046, 387939575, 295376451, 960612686, 687848413, 159662348, 368350085, 883320801, 590817381, 638861467, 983286265, 868019301, 305567690, 65837794, 426034142, 170605912, 487638198, 224759256, 392365940, 442672107, 925910478, 55202163, 658157668, 170517056, 572739976, 758493152, 669634321, 952620677, 699409230, 682528442, 684809153, 560309969, 711380956, 921208330, 470088796, 786870393, 374992763, 790994853, 51196335, 915037065, 621284154, 871443864, 582364150, 659193104, 937861885, 996421422, 186447754, 434579767, 398245414, 49787170, 618771511, 506180380, 973858954, 433993854, 610500047, 430783206, 654070170, 460186941, 89596185, 740320376, 632604130, 416051297, 898126603, 651197279, 306787561, 605895844, 879461207, 115406586, 841746311, 52036494, 816231293, 950827591, 976704133, 624314954, 632623617, 644836317, 420591215, 484802984, 713781307, 753410294, 201947059, 149834152, 413683080, 467308961, 484902564, 669942970, 588533537, 902213154, 912254243, 948462401, 887096076, 995951367, 691942781, 758426458, 282207013, 294982209, 283621065, 900151617, 525427826, 298683475, 139194442, 279677546, 735804134, 745233451, 526597005, 31571598, 124842070, 257372617, 19787018, 144650860, 9498228, 119756978, 677872555, 97516314, 116961418, 53965360, 555984527, 633952548, 39518381, 10862546, 689130289, 592701477, 365465448, 261712076, 343016200, 491821624, 10614421, 336974512, 938918388, 218232405, 994440509, 154633452, 65442284, 444539728, 231691712, 346912799, 318464624, 717379954, 939106763, 330874142, 375377299, 622237746, 533271132, 918010420, 848192107, 673641086, 843620542, 125037337, 139669001, 907850210, 818468422, 880291735, 890276985, 70686367, 654841458, 911496167, 592155098, 264658713, 462637969, 102785578, 973466325, 766413303, 906131303, 395762989, 356770764, 485388122, 757605420, 200998747, 61749296, 329648083, 569921571, 792214096, 31767319, 516098162, 400241649, 356962887, 496741690, 788789882, 632169825, 351404910, 323302834, 50988672, 638040096, 509948228, 789555593, 164424725, 275746535, 380366308, 895227591, 681211108, 306210514, 342408271, 273747133, 664861659, 609081285, 333953396, 221249826, 923209879, 681808320, 279771049, 643464188, 518370665, 99108270, 73615477, 551676282, 671149026, 905951958, 335826908, 86525995, 25344208, 679451044, 862999747, 384392717, 731765786, 512568277, 557720614, 33478673, 167886131, 617498305, 965232735, 976523688, 848327979, 101845194, 121418150, 124940735, 334205371, 890511073, 657968076, 347890685, 915394179, 127844287, 983301781, 714634393, 239798050, 185393326, 75877105, 325557316, 629560044, 289952016, 929915911, 285117439, 33711837, 505894315, 984283206, 187186441, 537956696, 674226315, 52188017, 655620300, 866499822, 233603473, 191077678, 812242720, 502624167, 729351922, 562376952, 52406675, 170560507, 783598862, 307964838, 129552262, 494218743, 301706072, 919583913, 385237560, 468598701, 449956929, 136523748, 21669073, 184180012, 125712901, 606448000, 220352341, 141147447, 717248571, 760137717, 200750523, 771341040, 767836068, 72982472, 585032941, 212465788, 588356602, 639435325, 117948839, 506963762, 258660274, 161448830, 344125197, 697001200, 178568955, 488300467, 908983863, 425969393, 989187781, 357316644, 748972060, 983771976, 251078721, 539879040, 80573018, 412992147, 112213226, 801292119, 62454405, 49800964, 20766066, 605237874, 432807539, 348929471, 607016881, 913868058, 771484261, 165089478, 791827224, 616916364, 691117776, 360041028, 861541741, 953180695, 98874953, 311854813, 87292361, 906717094, 333515024, 159220399, 762492519, 76346981, 287074530, 871520009, 938235174, 932400676, 505304517, 377025689, 31245674, 320422759, 507239784, 33739167, 231172750, 44843432, 669873635, 389369295, 796892858, 87035567, 834905162, 107205219, 243091404, 198874246, 751051736, 725964943, 582302157, 342483472, 984778762, 657645058, 505444911, 972467433, 58726968, 928800042, 49107721, 448185713, 548686008, 35224026, 947247875, 97737428, 783044116, 144511943, 800711874, 283467033, 858717144, 794612661, 739761623, 607953813, 428757734, 899075216, 839118224, 288211373, 901078791, 749824013, 621793571, 937019300, 404148801, 582575386, 617126581, 671998963, 442807944, 86141702, 417957743, 442242536, 995714005, 991807270, 840945109, 278758115, 265930048, 35195111, 612548250, 724127720, 372055509, 328817719, 269320951, 477918782, 940255201, 660424529, 272479241, 949914855, 828319726, 90656885, 166206766, 295914138, 381714305, 727234267, 747820219, 324208858, 210810504, 510833921, 39168019, 486894459, 438960169, 6043567, 60834360, 957665371, 937949768, 680578039, 874334167, 485556726, 876390123, 345620401, 724001028, 731248734, 847999848, 263613528, 877279388, 689245934, 192616418, 676546207, 271920507, 325264364, 150264846, 132588342, 967195595, 254321700, 727209483, 916086425, 897288698, 858363012, 358784708, 410441185, 374913035, 322194900, 267677220, 256869087, 629845812, 227735982, 726959577, 762328558, 604965181, 963696048, 119339068, 894428054, 886174579, 77365310, 218861570, 44695210, 510560066, 637811002, 680279967, 478710279, 36620338, 798399069, 783569797, 222176580, 206385717, 345974343, 434018061, 831140699, 12591537, 277312379, 567929026, 724344501, 744532518, 627316148, 537037140, 455281232, 967552820, 935641412, 108661016, 225168713, 357828473, 525943886, 577213576, 240551993, 307586548, 463742043, 825617220, 235700626, 778003789, 577421288, 463253859, 434083927, 869120427, 824512860, 980598123, 602117032, 716448768, 527472027, 995701770, 269931932, 813325890, 415801387, 712591304, 95972444, 557127431, 749463129, 267461509, 361964268, 927595464, 172453196, 657609904, 893905759, 987744562, 991281514, 243890980, 196289223, 131154991, 855920234, 59670267, 584377875, 403583607, 824388852, 341067071, 319942097, 168013782, 22617933, 226772846, 383564235, 310407318, 25687593, 915476143, 101235082, 527484763, 507151178, 723353343, 125265866, 372594950, 357035462, 24910223, 276891579, 346959973, 810304388, 912148206, 876694174, 806308933, 726865950, 281246458, 719426441, 428330680, 483080191, 694571071, 804990146, 433479760, 400171068, 112639525, 58541536, 431301202, 974268235, 261263688, 416940081, 970719795, 305320288, 809096027, 242230863, 509688520, 44562697, 921823201, 197311048, 869470493, 563743266, 23575482, 641954863, 523968708, 447898244, 54874030, 982672674, 290017990, 310409058, 496330559, 188140356, 114533835, 652688692, 867515487, 165824271, 56235083, 664013452, 873609810, 370415077, 508278825, 42409370, 927684900, 963854096, 254963920, 429985736, 793130842, 166276441, 414177709, 615600490, 688529898, 942692061, 322366815, 436234898, 473724141, 362668769, 347368654, 632370485, 992198558, 183958496, 681129945, 678310818, 87345402, 722220774, 511000100, 93691228, 969187452, 466341116, 959739199, 919696834, 46016233, 972132432, 843965627, 854686336, 570574575, 476653003, 637190730, 9802935, 391078599, 406945821, 599819755, 444862305, 837374881, 105353080, 847419213, 104069217, 825475032, 897002037, 218085293, 713191592, 261400185, 88612834, 340154489, 38404672, 340802290, 662221692, 215123316, 386138781, 158171976, 205915399, 44528806, 860436107, 464676416, 441192090, 519880977, 773388399, 267255666, 198177585, 862680761, 898922425, 211268062, 827987056, 646030582, 5202313, 455796465, 382565924, 494751524, 15043948, 265095310, 737400033, 702177600, 247872402, 540819600, 853853314, 269119425, 559328773, 104033327, 403593589, 6276946, 837796314, 456176212, 832382157, 580954821, 618092527, 265422825, 425603157, 904858436, 666441218, 405708993, 424999175, 16320312, 227803425, 434329047, 232236419, 891832693, 155350803, 83798073, 320106016, 152817708, 291957507, 477600017, 266426733, 200446453, 340583347, 129482871, 908427074, 121533534, 809291017, 140321173, 857630771, 596965956, 996902531, 991092450, 475951458, 484447835, 356719067, 425373756, 985327648, 264094432, 316323936, 563233578, 881529553, 525384343, 975823266, 260024582, 914190868, 632668231, 354618179, 122528312, 819689964, 16070054, 341292636, 549977880, 764951302, 791759663, 74585299, 318743875, 737470236, 870054828, 611031071, 495249183, 143029515, 406280608, 220527538, 496282164, 163920873, 97482156, 393432568, 565118769, 935705097, 481748975, 484702563, 298191781, 745321522, 201785271, 519598368, 542315458, 231105058, 721696943, 131435917, 788514490, 931760806, 998871696, 377407005, 923308926, 754862951, 517375695, 37531454, 155765150, 157919682, 726006586, 770858071, 357639394, 136586633, 968633647, 69472018, 263856452, 766468715, 545906460, 888131232, 957881409, 751188432, 237611461, 949005476, 385246112, 408560238, 212836220, 658397537, 824178548, 778368842, 483046123, 919707691, 138236182, 379853246, 157354142, 496676622, 928052076, 167156822, 916042570, 384843901, 303118094, 280164845, 177884466, 540407171, 860736697, 315263684, 159844051, 684202291, 368189445, 981652770, 118490903, 848190025, 33509730, 147034517, 404723935, 982977794, 6575537, 236603211, 274482246, 327487696, 299874105, 684480745, 501836217, 209088416, 112679239, 810706360, 800279930, 638525669, 123241835, 873181044, 574232237, 367513164, 978878334, 231264170, 978310186, 247945857, 995680594, 279271030, 761599505, 542360300, 485713521, 716166265, 482428663, 352825918, 616555623, 316326878, 154685228, 347123702, 983595415, 347631623, 402040455, 511724393, 841313344, 746179042, 47384908, 850046291, 431752752, 508900948, 310548294, 827556610, 841503591, 138243340, 109504356, 756507993, 143149478, 289829822, 743824066, 773141033, 379045786, 399699318, 174050426, 659023556, 354802023, 400142258, 870387367, 558484895, 793594152, 289289173, 716860287, 99287050, 566104760, 621050858, 968737677, 9286678, 194569962, 853200669, 239176733, 836863664, 298908844, 687556763, 52103658, 456029821, 992556450, 881165383, 187216789, 596743483, 970208628, 632550627, 300335108, 574054515, 718458455, 613016418, 366654491, 603979794, 823490250, 521767945, 788319387, 124023144, 932100120, 997303344, 718712824, 131651236, 63477754, 824862235, 548185104, 563258383, 386748278, 426333617, 465579148, 135922212, 184902459, 503847286, 248423739, 629386095, 247627229, 851155612, 3213692, 276397511, 923584945, 109721175, 858356278, 857985155, 222413139, 118239718, 377279864, 458147138, 707568925, 250806443, 431788223, 268782812, 12454790, 106388022, 165729344, 359657097, 91462362, 58059025, 371561980, 274539839, 973251987, 469848676, 909459248, 406464900, 449617826, 601378772, 293757865, 809420996, 322508190, 455116150, 628058320, 773681949, 864176211, 745049378, 31913114, 285242219, 100631903, 670807571, 633149764, 149038374, 67697022, 957884170, 885019927, 885353939, 481266110, 487154812, 69467403, 769200162, 92927442, 947966248, 869466520, 642673585, 693146968, 736052730, 36122708, 222404234, 854341588, 34590618, 242224037, 744575842, 773108902, 683638165, 198411035, 835119965, 149171791, 97307964, 99636212, 168338884, 815474129, 758000718, 8401984, 554684786, 629175248, 668563821, 514909009, 120465656, 43912183, 695941568, 901547397, 367343299, 515421631, 972961170, 861878893, 340034831, 165642857, 767469497, 883193352, 493539676, 369589477, 463709625, 305700411, 416223766, 435392017, 201494210, 737020501, 396217022, 165932836, 360372300, 530688241, 750351641, 71265309, 638241335, 725389754, 47964576, 176542909, 374952730, 904637825, 298243196, 806103369, 972469260, 635369482, 142914624, 564172056, 734815605, 346581310, 35691953, 353092445, 353898784, 23540850, 28718, 424798251, 958973541, 980886438, 775579219, 489498761, 385242608, 498326857, 959141090, 475967884, 716748966, 290005446, 295185096, 968875408, 890984899, 941802898, 717671621, 515582758, 745442814, 804950924, 652589608, 310576689, 950755742, 583534268, 109350503, 898010212, 399926441, 547435010, 570893268, 556810156, 524645391, 567097554, 784109423, 141206726, 561925838, 896751957, 725892804, 299950571, 144065904, 862603212, 625188461, 778991009, 969376031, 988824975, 911780770, 199181448, 887258140, 570855022, 795527087, 274788179, 568950446, 465475912, 537445235, 843159615, 769964194, 266551735, 79227977, 549590593, 123554100, 242949547, 646825547, 49339445, 411713125, 913863128, 755951191, 8218741, 698587729, 981992503, 459054941, 608496525, 739694388, 631934345, 202341792, 590939722, 270422032, 836204283, 669871216, 102769184, 157156748, 313858923, 480781579, 114187897, 645888225, 541102180, 789160594, 451471655, 4060879, 548127564, 720906368, 278171895, 872537673, 664972776, 468566971, 787417352, 199187615, 531143323, 450297193, 122006420, 471414576, 679701625, 492222692, 810419631, 897801394, 126852766, 607682448, 48468784, 911957931, 827603573, 242979621, 887344563, 332521506, 17850357, 586431462, 36688826, 409913292, 907216388, 982942912, 165544121, 803478317, 402858233, 641561103, 287246871, 708043565, 219032040, 276396115, 570130781, 333333520, 570183283, 835135129, 913099649, 696979695, 850264952, 447800758, 659787336, 818896009, 819509818, 545462610, 389746798, 501076962, 712257437, 766617878, 854967464, 408580069, 848458761, 703212719, 367405729, 165409075, 882898801, 576907222, 745172753, 536798735, 718844822, 584087000, 773491223, 336933552, 812810257, 944333585, 696583528, 954347361, 100707279, 44699249, 856659467, 918711568, 816570598, 261600758, 884399751, 331074471, 880098966, 917881173, 42872016, 136590917, 548449679, 217073024, 372825789, 23197147, 709364524, 970025986, 570421076, 222103953, 10784865, 657730144, 336789282, 578584206, 503703130, 889850857, 116102054, 95559709, 133695080, 802050293, 957969466, 795182850, 126474473, 435184832, 146285215, 985870390, 932616177, 856168231, 112721485, 67552184, 104846341, 19524885, 975681429, 259912916, 974067053, 281207654, 627189101, 536668229, 192480185, 439348407, 490192215, 264384099, 665617633, 947324199, 804165028, 357889219, 933864378, 473822830, 959641909, 887702478, 404843415, 743516297, 862255670, 806962546, 326186784, 275094596, 958981574, 184710520, 266678898, 720090435, 240245789, 221554559, 44648690, 57221537, 571386582, 145926347, 475665645, 217977202, 294434208, 1000556, 878690996, 982560600, 382658818, 821382914, 900321573, 893387899, 776554701, 852708386, 167738329, 345882832, 822660958, 8550088, 692558077, 535534860, 622468226, 739755324, 137002878, 501740752, 208149620, 409522998, 792416080, 125577315, 215217632, 171486326, 853305859, 680629663, 570048808, 107207630, 212546001, 259848439, 485622170, 66728976, 171267374, 747204922, 851980099, 412044440, 396600081, 871070501, 474463314, 308748402, 18852292, 270249962, 832594899, 540706493, 459428993, 538662586, 574172508, 248396029, 808184926, 760794306, 957640140, 586385949, 647217396, 180793807, 660186119, 616809724, 86567255, 805639306, 342464845, 460158168, 384090456, 459732530, 58726460, 151334945, 252806686, 9413074, 429028486, 381107239, 720193856, 571400168, 334919714, 936388409, 71642427, 499900881, 104455259, 772008100, 980935349, 379456361, 693744247, 132936197, 258534885, 578821958, 189137677, 640271217, 422990297, 832468299, 677399995, 754046702, 52025212, 819154278, 143218648, 212521900, 878508927, 784307357, 342346513, 350230339, 1541877, 510213478, 834153020, 41852535, 881033414, 215089344, 165562066, 34195428, 449294949, 748207596, 235702037, 221458330, 196602435, 303059289, 111330286, 63028018, 481599499, 364661949, 997115167, 476786255, 888020177, 40553467, 214767562, 787933337, 998443336, 596515537, 536117784, 348164066, 534003406, 554104286, 248552438, 287220012, 187214619, 808705393, 557394046, 505804040, 940929403, 358069326, 268782549, 223189889, 377094472, 813379186, 369199814, 923311866, 220643525, 61659886, 887356576, 360226010, 471354275, 219650345, 175854558, 214489840, 981526259, 731984674, 379741610, 35941470, 746069062, 414763430, 247656694, 710541619, 833196192, 801542093, 737128951, 3405972, 340043651, 35576087, 158606056, 274764426, 76602329, 503781531, 424150449, 81919257, 160709731, 330180283, 490554136, 64903404, 89330712, 677476146, 192651700, 198261297, 721037544, 237038674, 719368575, 138102910, 214098294, 141488700, 790841095, 958072328, 890756275, 759114536, 393202250, 310312265, 278559250, 494379670, 70653635, 987299098, 338210897, 54573434, 715029911, 108018437, 970971832, 979384006, 631161989, 335344023, 113926385, 927192405, 66118048, 984450482, 378541734, 402360132, 394647725, 574303488, 882832810, 169713763, 599444812, 527677230, 328829274, 862328498, 329891960, 757993183, 631187618, 826028845, 651152408, 293871820, 23820443, 844734576, 592040655, 907282711, 167084140, 985796347, 623908897, 195027418, 746944339, 176027694, 943902823, 633054325, 724825691, 514281387, 951814150, 39638840, 761365014, 286632256, 220532155, 436896180, 234859567, 157397662, 923431898, 701825971, 321163988, 297419174, 379156598, 602010204, 993075887, 357854539, 204332446, 767814778, 679746544, 369383406, 17004920, 852106715, 125603561, 146594146, 271078245, 878228830, 847932528, 231397658, 133265059, 788849456, 382209386, 388241140, 596187568, 370905840, 131578117, 985862068, 741365615, 433221929, 750815029, 533468383, 145067501, 779309059, 667900401, 851577210, 416940039, 992844517, 880933051, 177094443, 699248049, 573610680, 773395271, 666406173, 771406361, 688263526, 371832544, 932759653, 624326480, 708309925, 410528586, 10714641, 129479984, 639621718, 893425627, 3714651, 63010595, 120830609, 74589909, 137962743, 756894618, 719411601, 530606738, 974457984, 645448440, 490277050, 475048515, 343557346, 431136010, 503203796, 525492313, 550084382, 56946569, 312756056, 612573807, 516883431, 884704482, 34205611, 182589922, 169051347, 354267342, 990266902, 978451169, 84017101, 333021681, 26077586, 94782634, 832647603, 8593248, 368183402, 153034738, 255822434, 581063224, 923198485, 878629787, 823283739, 87557219, 834096950, 836092579, 232540856, 630783434, 192921569, 162416942, 607774404, 355020294, 65302049, 159116742, 490431921, 360123900, 851224969, 124513058, 376989026, 785086985, 527255559, 213468829, 732901285, 142582436, 381498496, 549213237, 625519157, 101833185, 851749836, 304273739, 927993567, 17415440, 369103004, 283915938, 327616221, 310751126, 294525860, 901698370, 986442782, 459024508, 684826556, 668241171, 615107324, 711518947, 475622480, 939409251, 556576397, 22941611, 952898471, 709191774, 890981381, 730932662, 128302101, 674219807, 434588322, 90988453, 298445808, 754573374, 752780501, 512784202, 222766658, 366330042, 101327584, 288399158, 315987315, 614860366, 781675333, 221351195, 317732963, 839526568, 7478759, 42433496, 784546372, 79851701, 745680229, 897733828, 661819230, 946734617, 442749894, 233708607, 139432000, 787671339, 171749968, 349294767, 57744762, 614542085, 275389466, 501905979, 387590557, 188458098, 304930418, 446497563, 243666958, 496937048, 494570841, 265147494, 883684813, 87291710, 668825958, 830191807, 478849539, 732748512, 775864361, 389129597, 411076348, 567517818, 461382583, 487216002, 154152343, 494430592, 145637982, 151861159, 894817857, 629596392, 884729850, 605261406, 373474851, 403906977, 93551635, 285534607, 898465285, 375819421, 918276349, 516993110, 23495003, 496147704, 969180966, 906340624, 786361214, 703466773, 794907939, 817172063, 860320689, 853181729, 540880371, 849708088, 686540052, 560239001, 44982166, 285555058, 954523382, 310176542, 453436456, 493666779, 107181628, 700689008, 106875519, 166644453, 89236258, 396109078, 404825345, 844059277, 667206210, 231257890, 990775321, 667173592, 361965547, 429819063, 850969303, 6773773, 186474188, 695957122, 807378882, 266942706, 175684766, 64941195, 123638451, 38472501, 99445075, 4490830, 791344751, 688029186, 235422816, 679246415, 976096826, 55358734, 820229065, 593675715, 71179407, 880620106, 632711220, 445437871, 118122175, 20713820, 679020939, 586778742, 452212170, 658780578, 965121495, 650781520, 234051892, 341459992, 554556507, 13199193, 318311096, 302644962, 283890783, 1228935, 157015633, 491578834, 259857393, 533330737, 265673477, 654572800, 742970685, 934430897, 703512306, 701322495, 254610808, 346732148, 332337796, 607301575, 409813286, 966944873, 542599361, 906779699, 811845131, 279776807, 599609316, 570259075, 681710559, 369479264, 774534558, 821126399, 833806206, 893653786, 761181029, 469905307, 385588411, 9356635, 341470629, 838924198, 750770396, 618843651, 97225757, 884096244, 556184919, 560389907, 574870566, 397142354, 960153864, 540551823, 123302825, 572356052, 256553420, 632306169, 127931026, 716941002, 347624921, 201623428, 370205530, 556424589, 953340340, 215943549, 768492924, 865569851, 531675643, 499923227, 929509759, 745147853, 509455022, 806130858, 627388795, 934509478, 330383349, 523241216, 795205541, 890066092, 292134984, 559662803, 143496690, 41426042, 845566055, 311044510, 979190646, 556116651, 763182676, 846470052, 523742680, 685991769, 342666102, 353862793, 310268389, 324704861, 248522546, 563237688, 624163467, 244658585, 710155394, 236825599, 44828619, 865010628, 211437817, 207849550, 801617176, 469600429, 100954313, 330455082, 74344335, 537619389, 62568311, 829975012, 119875899, 502813665, 54469436, 696833723, 184933527, 145931055, 785196795, 576560722, 207054704, 987118638, 918721571, 903284597, 635007684, 32376320, 158582284, 935431231, 740494774, 709921183, 125282021, 734469339, 502305550, 358619632, 588367885, 378999869, 229784330, 482908288, 200015583, 917495282, 927948162, 608034697, 808431135, 527077222, 162543765, 389950857, 245601267, 249715419, 693027971, 190580856, 529089171, 955684526, 30761537, 938337593, 788577458, 549209636, 827045404, 122308318, 620861323, 971676255, 416840020, 294457424, 524558544, 556815065, 630892050, 967268905, 646360522, 429093749, 273629798, 491769510, 776972562, 7734440, 487016701, 464277815, 610398444, 170422712, 229016657, 714740048, 969069237, 80291050, 417641256, 952187770, 749983779, 648689790, 971140131, 951554088, 110361135, 366812247, 670286064, 351934350, 610789935, 892359063, 659538584, 809272917, 656853450, 834218956, 318381406, 421005852, 413973609, 964864024, 916374071, 48815337, 956932078, 298839761, 35653598, 993186141, 487819763, 266278852, 792289374, 65889596, 534911118, 683820678, 310945474, 369513047, 816802574, 930482893, 282430064, 218572025, 673462611, 247612459, 684708154, 572468102, 78534906, 779316880, 507584866, 241685928, 164169297, 925984571, 174048503, 725036003, 63721295, 23128493, 632477591, 323650721, 695154822, 194815714, 933300586, 98743115, 596527852, 794127852, 174663265, 26675663, 577862324, 434246016, 475233835, 849652896, 337638356, 755871629, 378866778, 279433078, 458464603, 235726524, 689767644, 663552183, 479240095, 743699136, 1551776, 279898168, 501372710, 374933359, 826435099, 8175993, 890212870, 68744776, 973300857, 677629842, 88200270, 933487038, 762800394, 782106240, 151044457, 533720302, 799661973, 397849546, 88133299, 856166069, 590641145, 938138799, 552221599, 856165278, 106746042, 435431789, 887586851, 274130423, 301977160, 282110657, 422720366, 63100393, 836615808, 52153984, 683905059, 144404794, 331665548, 915011335, 105012790, 447454686, 357783838, 875737347, 853022616, 609779392, 954358568, 828758691, 919695041, 821980278, 719841089, 513058110, 500117508, 691134165, 111958252, 260657777, 47521105, 576190368, 11416701, 498700255, 525863304, 187271885, 695854420, 780001328, 474696969, 660336750, 976279, 936448695, 336923507, 995705773, 740731110, 91954536, 46524664, 547873000, 731668621, 574726627, 53508645, 580644244, 504400694, 355885033, 212200417, 292060053, 721009357, 604932419, 828091150, 442201412, 957751886, 456865160, 474264098, 942382573, 724048394, 567218207, 596139930, 967007667, 6976490, 481022909, 992658387, 744364349, 782509587, 154080186, 491415374, 211057430, 988623305, 150094915, 858625639, 553935388, 173781337, 758264515, 797758048, 847819239, 139204073, 84946734, 798288654, 183143418, 292591740, 634366539, 905776888, 567587532, 28774873, 861809891, 247948385, 209496849, 735476781, 919054970, 917666215, 384789988, 9405156, 310680777, 720327586, 472862776, 767167017, 747931361, 549003538, 631150854, 973701016, 180281488, 616568088, 90667890, 679572702, 559637559, 583057280, 398005624, 551840589, 356926652, 789186824, 405464848, 15855738, 516904191, 931856246, 138626346, 947532730, 160004293, 586485329, 337827731, 249529441, 274382660, 940941230, 374608875, 796114469, 109815469, 255424270, 209459078, 721260654, 804775505, 743419612, 940965880, 813683566, 785512948, 477500721, 443873003, 997970841, 547656156, 501144940, 44044120, 279860481, 354881895, 67974289, 469155118, 646752721, 112881596, 336464623, 914370859, 541329107, 452319818, 981186137, 76415342, 866394731, 647347225, 657613976, 770247281, 922442524, 523943271, 154817027, 829453276, 341631851, 608260265, 261958915, 884099235, 694750566, 399062646, 55218908, 474919318, 368407786, 612370865, 196261766, 562103499, 394263241, 136041586, 50700713, 104487259, 15643690, 243739335, 333577808, 864834510, 760649220, 782472408, 559317505, 578147399, 232975951, 949630153, 946609233, 239169302, 805474850, 756450437, 870746657, 53599790, 883074342, 978572656, 949544208, 810415210, 232493696, 287063042, 243810909, 560083151, 692496045, 774535598, 886547501, 594208752, 19574102, 387866859, 998638168, 444421985, 56718857, 201937506, 411609663, 431426699, 701971109, 588504082, 521227883, 288287516, 701295201, 739013258, 128260857, 157937036, 2010706, 204934616, 439544293, 897335874, 925992026, 614992827, 704147094, 31292326, 492336414, 496741569, 474654476, 673289472, 780264004, 554125649, 608139985, 910533551, 462689313, 427302618, 991952813, 597279719, 802119662, 680409240, 661521314, 355510685, 479405186, 169634660, 377796466, 681215581, 868204754, 701301770, 253489987, 103958717, 701991666, 470932786, 718332831, 533644680, 889126107, 118427686, 437674136, 560875488, 870552891, 681471823, 312454442, 983972702, 335926877, 709383622, 696312396, 830298633, 915267542, 865016947, 151504467, 767067373, 135607095, 854146658, 812297810, 234009625, 641652256, 33493370, 964453271, 680177852, 328632033, 597693601, 825374583, 129698432, 250016781, 173471724, 821215868, 220923948, 341339895, 614249027, 163370239, 865736103, 908205791, 689752686, 416535782, 283833081, 311280613, 816065217, 796022191, 8261439, 893252687, 156737660, 117972525, 616978539, 384275684, 610460554, 187400435, 987124637, 55644850, 699910867, 17798292, 799048448, 785729311, 195410061, 916944281, 394164138, 61242258, 136943995, 344282091, 528517552, 936372020, 907043818, 526152330, 889409042, 462583088, 196058575, 730454168, 627453206, 451806947, 217546901, 726916522, 706468262, 977833796, 403505682, 393180594, 409376252, 96619979, 646818252, 759042070, 440010399, 26308652, 411545709, 92522462, 63062851, 588991652, 605243743, 168193572, 457306881, 784347270, 467008195, 312875941, 464375563, 512129654, 811206820, 832124657, 801343610, 749240671, 833980918, 949514338, 888364692, 659916832, 319931532, 446011569, 128937992, 876449682, 537823053, 863707177, 778742945, 18306368, 350585057, 845788762, 306685906, 438218788, 462850061, 536750675, 665252813, 99691739, 776023518, 182801723, 342832160, 574007435, 671000306, 462024901, 795626555, 302240773, 769196176, 896328332, 94706012, 898460771, 181064708, 687646575, 152662523, 696499801, 40703024, 607033206, 164843429, 725958153, 774477278, 92262644, 781547125, 823444984, 743007169, 213759787, 280052686, 720085456, 209839653, 873121446, 422160085, 829344107, 838121484, 354665639, 107493385, 964756622, 535166902, 303477351, 211742814, 772749777, 698034051, 157071044, 804407641, 427675637, 785942803, 949415464, 154127114, 30098708, 749287282, 188353078, 898485691, 144634957, 692241844, 718007256, 516150208, 912727040, 571568107, 579986861, 246304731, 840055097, 650322180, 869430374, 455700030, 386299014, 899100048, 702791154, 859972151, 921975412, 766146299, 123679859, 234935742, 875254790, 77814264, 398949811, 907223173, 793925867, 756964770, 814758421, 938357067, 896338412, 178348049, 873969024, 994140536, 820357558, 240252064, 488306796, 590861819, 892445763, 178678957, 98483017, 925591378, 112531289, 51571533, 695073544, 891838944, 966463330, 787354041, 728225907, 43071244, 858465760, 130244035, 980887407, 379789115, 338919195, 195982898, 905236641, 689670931, 64769482, 232547789, 464460119, 987700239, 631841976, 84386232, 538496526, 389551239, 470484674, 460146738, 109407787, 151104974, 823283777, 764441227, 90920845, 46221725, 237076013, 351973006, 7903460, 987811492, 502815862, 663466929, 437757438, 930587838, 453307935, 558648753, 454087112, 352255142, 951963038, 975148548, 319965736, 442562334, 493703645, 831867658, 378346829, 504580909, 213407439, 767892112, 917536618, 626391451, 457874303, 807026671, 929000092, 983713274, 326151518, 143070111, 538243030, 533371242, 795133057, 558409093, 830612607, 369442831, 755017518, 833507695, 975248272, 250299487, 791211489, 140254936, 287005262, 848219658, 91274008, 626150658, 874929966, 962532441, 956002451, 406009986, 423813439, 81743332, 228094661, 423469579, 345001700, 70560160, 368426159, 768975562, 236393880, 348357000, 224701291, 545543681, 692955476, 460709, 742113784, 895559538, 164905151, 788033458, 302851936, 374069328, 481155426, 330495016, 41780555, 404184867, 972005894, 520087309, 997660400, 935571478, 604174982, 722295443, 483990398, 647866467, 950706706, 547307078, 567834046, 578884376, 499352220, 897515918, 973294927, 750905718, 113014535, 421666852, 73428360, 147020467, 427371985, 479871569, 209565897, 584103778, 737151119, 682485184, 353372796, 524977646, 377432209, 628509911, 274204113, 516880141, 896802397, 745978046, 613939662, 131948140, 151118714, 91677207, 308222504, 182951039, 243551083, 309993029, 175943503, 800754446, 671924585, 614107503, 975067455, 112524705, 665209749, 764174716, 720894773, 828701220, 262932296, 592111389, 716105955, 222843637, 774751547, 831119407, 657403416, 629690869, 279743355, 434102277, 198077782, 247588480, 504341100, 880650505, 943225266, 689938807, 821271575, 250564788, 845814816, 491971751, 72512596, 286749860, 415806025, 514721878, 114336826, 487835836, 469078553, 485444551, 369065415, 993424357, 435842106, 236429485, 695964642, 94793882, 46686284, 413864990, 230848657, 494851051, 493078759, 556685490, 968983290, 699597989, 586650677, 420506989, 183664468, 92383573, 143402097, 174364449, 63809687, 710431114, 608307860, 665338706, 552031992, 428357134, 700532311, 925087343, 432607249, 308410791, 873803508, 110742232, 211584121, 638091092, 149861068, 821773925, 360978187, 962903730, 210638870, 694405369, 129939290, 573431044, 967924742, 995542745, 6365403, 696370699, 767041697, 841764373, 428526787, 495694144, 21515924, 830153345, 700372964, 747994226, 632241784, 638927930, 450864013, 522836496, 300412698, 850360354, 471572092, 11259953, 21908912, 1313369, 237207033, 699301647, 823399357, 717143708, 889946592, 572492446, 198217297, 244845101, 256429795, 94095038, 704341354, 165614294, 141063919, 546618388, 831246815, 170172517, 116820845, 947685984, 374661840, 209882153, 974718059, 911350875, 725704363, 432492916, 139114436, 335170019, 302505017, 829090549, 227548976, 247429891, 107271139, 880901941, 228810456, 418389409, 797348677, 797109494, 165607959, 557019439, 25536870, 33392691, 227340845, 286120848, 301484778, 325885666, 698958846, 451238547, 273868253, 955387944, 429334559, 209893223, 182490461, 906866272, 987718328, 8231629, 881799857, 59884538, 661231067, 997338626, 730195496, 377155730, 849223164, 221132793, 795191699, 267049092, 419669233, 704585374, 468550177, 670580605, 716132547, 193661728, 317210060, 218821517, 110844683, 265758222, 118913563, 933255475, 744647765, 911877215, 749917316, 941146550, 660297618, 721068745, 620503634, 415609664, 289644162, 678055198, 880252821, 44055116, 459515403, 233039203, 482160961, 200314359, 196507663, 187878148, 226564697, 492252364, 633458514, 940530100, 136881998, 590143999, 263908731, 383292279, 199931650, 643888338, 438678960, 452620567, 73270510, 386136594, 172261329, 713051932, 437151896, 44322318, 266597318, 998283624, 61955781, 826463668, 692682752, 522518368, 605472634, 972690868, 854495675, 447488749, 450910193, 469125622, 635138902, 684423148, 770628567, 900009795, 122529139, 59467301, 189454664, 12882652, 965152198, 163420181, 165792122, 18901476, 544263265, 396973680, 602578240, 679333377, 388733766, 794429378, 27006630, 262015145, 895629665, 853513915, 379928899, 546069586, 303639690, 717186156, 276679197, 248374856, 8462663, 369949531, 917818545, 648940028, 636536462, 625472149, 124982214, 128795178, 466634814, 702594051, 50608768, 383901531, 902192348, 230111025, 528089232, 506480715, 641852101, 664436527, 119938701, 576750808, 262235328, 975872791, 482345373, 274556454, 371234759, 245580968, 498990393, 738390637, 780324895, 36792311, 275363734, 3811362, 204115683, 325378682, 311846876, 866180406, 483750228, 907662883, 493513010, 210458129, 494190226, 312031004, 496645993, 736065398, 810833745, 812267613, 431780287, 565931855, 393035662, 908744240, 528948335, 91973186, 236173487, 191686020, 349138829, 47211774, 183895004, 679483208, 692386655, 37535971, 988761504, 576256392, 226226067, 311822155, 78533580, 588986170, 507197361, 843548772, 374860197, 371925087, 833219135, 744512181, 237534049, 142199972, 630243599, 642491605, 675899711, 821922142, 537635081, 630104993, 275893426, 779363556, 922188385, 659097791, 66771311, 736766481, 508974570, 466304410, 698148847, 650538937, 880730329, 572267887, 520693728, 932745177, 988843851, 620218350, 90802953, 994806785, 323008981, 516300071, 583229270, 712291531, 878784571, 813387634, 674852724, 224928063, 100714997, 999923608, 219809889, 714013024, 823941040, 63523896, 53113439, 5014811, 745233489, 571381398, 22941446, 812036071, 478401094, 571337350, 726815561, 864040882, 218295386, 106895782, 930338817, 795586948, 345223859, 459304198, 708585723, 260168432, 183143942, 216511232, 591610642, 715107604, 774170046, 130447626, 956619532, 512126588, 174514311, 964547351, 784128931, 501349861, 876213271, 449714378, 219644239, 216659144, 922012653, 53276300, 137132020, 981013755, 742872920, 941451064, 218422675, 867348142, 744946817, 361025736, 363776180, 271276164, 440085626, 792318510, 628021658, 569891713, 360404481, 190007327, 619416960, 588061164, 931521868, 308554222, 152966718, 612016748, 486621939, 788976107, 669829673, 969432859, 635461457, 670090410, 147578540, 230993204, 995748921, 718376399, 620667654, 924448321, 39605413, 153278446, 53567549, 854336123, 272218857, 516474611, 219394229, 395132938, 141717138, 561916258, 600896755, 172340670, 117738784, 90790698, 683144595, 492379513, 308894896, 355066351, 943294839, 907308398, 78742926, 492361462, 88591593, 446868611, 393094008, 878331835, 89094382, 9447908, 624311765, 504804114, 928323940, 940144033, 592136682, 732502437, 633544079, 138221072, 692009296, 428868800, 892105329, 330984666, 511201186, 543217166, 865164625, 246758637, 33703174, 812458928, 209655781, 375728763, 496544109, 325504987, 553555796, 798781383, 316313223, 839041212, 20646568, 702970859, 605498798, 184885416, 50628202, 135693160, 517523570, 432863173, 749884529, 887804110, 604583571, 374772341, 278603687, 210501610, 725444989, 942633080, 261633069, 548539077, 425764466, 135621009, 133245119, 531612480, 880936364, 112625887, 602116730, 288392508, 816841335, 272052165, 115693144, 826392907, 471386275, 294666288, 421824407, 816592849, 330958731, 787762396, 959274247, 527559904, 642793867, 950778422, 446392171, 506292001, 703738918, 553055641, 183442711, 265839343, 30278171, 293790729, 845316708, 561245965, 768138623, 451408575, 874635574, 264969638, 67097457, 377827442, 198795189, 239304805, 544453698, 962645034, 183271016, 861836397, 845256116, 967949828, 435015295, 12516562, 955266694, 987264080, 678582307, 690383812, 777539453, 636239746, 497764238, 87263282, 753028963, 814942575, 220585102, 455860359, 114201980, 25830580, 843746705, 225858179, 878176470, 80679080, 453216424, 509682769, 166610764, 539757893, 827963066, 682258094, 578750162, 193893998, 780082397, 880798840, 743143682, 125825848, 447834695, 721968840, 770530464, 81867226, 865553081, 504978664, 166215602, 585563758, 864551832, 912562499, 281293140, 879277896, 574585651, 826889156, 703380298, 217371669, 991866910, 356115874, 487503192, 107481002, 782704156, 126868909, 835932298, 510149640, 679804107, 503174169, 562786774, 376309229, 283517876, 349748943, 632350465, 278763012, 503121771, 833143794, 917908247, 815015931, 29645062, 587284319, 501463681, 350630191, 302993741, 449326699, 739466872, 67612954, 633601661, 64126066, 579062039, 122043560, 859615155, 923239637, 317730916, 583110547, 959056967, 6696303, 599991249, 991274886, 928607870, 518187618, 47029686, 839937829, 567988102, 434793665, 114310245, 655340521, 279985382, 393709510, 258003678, 901678811, 784295642, 116379281, 420438555, 855689819, 431526050, 673352530, 154923141, 522570812, 553848666, 324889945, 601225170, 659240559, 567268825, 214095048, 549477675, 327819778, 313797624, 649700313, 73153647, 943877686, 14493823, 396668670, 905884513, 728970362, 297784971, 347817718, 682022348, 658190909, 121517784, 987540280, 870656749, 778824091, 175427814, 656208873, 351700906, 595506275, 2070877, 975771533, 479710506, 800807274, 753782249, 21788844, 606228205, 437471154, 567606100, 235158929, 383281708, 128254023, 698346411, 169631940, 715887120, 715968222, 605442399, 572491598, 270574340, 381776241, 612745608, 696897128, 934306932, 267597392, 501321029, 223849150, 329628142, 988806196, 206314977, 233419262, 971670410, 52817118, 185308448, 810213576, 297763240, 109952652, 83357389, 257541243, 894846897, 593154657, 884112040, 188485032, 606951943, 546798849, 121258489, 136290603, 371328349, 640235814, 749957201, 594046220, 952049918, 330697540, 591061718, 525448770, 68567384, 461838924, 381122289, 294643352, 119837678, 98396029, 919060553, 579703749, 324970243, 773421187, 40636308, 997546032, 501545286, 438382465, 125671313, 857160042, 353834660, 830847496, 213300937, 524174516, 750146834, 744572991, 36140723, 642204288, 67205357, 4125776, 138664175, 719119101, 642378178, 596941128, 766414189, 923685316, 766969622, 125808920, 291596353, 146860281, 390582054, 68191183, 484242778, 829476193, 41854978, 972033400, 804949735, 365177000, 297569815, 781257897, 224751800, 386180050, 345236367, 265527853, 783669290, 165591178, 484212279, 246442186, 277007688, 418003245, 896116278, 607555793, 349056354, 57211918, 231221673, 780400901, 301000424, 907281274, 949906950, 681608158, 423821654, 196233158, 35034157, 441236357, 79978577, 531892525, 127340347, 788006756, 405983511, 889140125, 27998503, 174396083, 511080838, 621036142, 386745451, 321230005, 977638100, 716884986, 163889456, 554231245, 492963714, 15462887, 953397387, 802209258, 875490446, 926477126, 91995644, 779709869, 278623720, 616232571, 405309125, 738814783, 742461372, 677795955, 210053232, 750299359, 567346360, 228568816, 931153006, 608743838, 660698847, 590403136, 527779481, 181669830, 332314821, 947002221, 679369911, 115938431, 239266666, 716824324, 928569281, 327966229, 210648532, 392614204, 162776733, 68732992, 181911652, 905311306, 537458890, 664967335, 225599264, 398352745, 545168708, 305722042, 194098772, 900124216, 445001036, 74695682, 514759764, 368386982, 452513111, 294950108, 743207134, 297132146, 338385293, 130807140, 76918757, 633425387, 215595432, 908896930, 397116908, 401999305, 817691940, 867598816, 793830524, 957021271, 565827999, 821784343, 717535250, 225974006, 74804170, 619960190, 452434002, 651723190, 759314414, 896736524, 574595921, 817327048, 321207274, 132892702, 277151205, 537289820, 644207272, 967851301, 499389799, 821967757, 716616503, 718521124, 575793595, 214726865, 671503360, 778432511, 812007213, 163973890, 939873467, 196898663, 76736071, 284548758, 831156965, 172128668, 494577710, 320301407, 159913151, 555361711, 212512957, 609113661, 724182533, 679183658, 840564296, 774580740, 715287293, 293744179, 657605031, 609144767, 509457564, 171644507, 309323891, 361986594, 283570262, 398089030, 312473140, 726605024, 28469279, 540014545, 916333016, 957470950, 155449865, 371453949, 529089418, 540718659, 209894404, 39360854, 31579013, 382810232, 190879903, 495649625, 369827352, 453054142, 853375180, 680079175, 981672152, 626927845, 212833373, 235068538, 735830383, 830312582, 348175529, 133879909, 232211277, 812742335, 911869083, 402416055, 425025880, 571880233, 762595206, 626636371, 331457037, 168124247, 574979652, 41773725, 353615278, 312892411, 153848877, 531146816, 748170218, 325099565, 706860202, 747009004, 642622120, 598024192, 95683776, 769425481, 622521973, 345724990, 721828341, 58629196, 143309023, 825890, 814189260, 723616358, 688066823, 252821583, 64952990, 792376698, 817067333, 586752767, 834737401, 149470942, 665230323, 791365887, 776002424, 607584429, 93906111, 662750905, 109430207, 261886718, 9039193, 513290697, 699967273, 924520221, 835269155, 631978442, 395143460, 434715686, 750976825, 396974332, 39709464, 156388669, 578249388, 469942343, 658083349, 910263166, 566386676, 206206358, 159676634, 25592718, 864095148, 285063821, 861757352, 394657437, 89649829, 28042943, 739971799, 902519074, 155086573, 618230983, 386350294, 533733642, 972623861, 291590180, 810282619, 161600806, 409576560, 516336811, 158690942, 959604559, 550742198, 40738153, 256534802, 632537480, 717923002, 130396523, 28192557, 148073718, 23815708, 371812300, 129038488, 901087641, 408813387, 326889011, 955160595, 164424095, 820694036, 622714352, 269346265, 708538366, 878405099, 884028500, 400668534, 536947171, 492864609, 882964842, 569494336, 51917661, 490895192, 933567081, 129409654, 808688960, 257628139, 554561856, 699836438, 937833088, 795625021, 645876260, 952198118, 785205277, 841085773, 941697317, 779604663, 449923628, 249050667, 290473202, 804137599, 606360604, 349350658, 951275670, 821986678, 767346489, 597856053, 357203028, 404258480, 463646039, 824068763, 206220167, 936151083, 711702838, 683588803, 114948152, 37412952, 150014553, 927738425, 24265082, 743987549, 781168046, 370952563, 135840161, 518532960, 539367351, 651104043, 144607248, 415223745, 269852882, 121156510, 633715725, 31733569, 458919711, 939115489, 301958608, 458726423, 578103401, 575383582, 812101284, 249542067, 580016282, 405472181, 416560202, 464042949, 324695477, 359170582, 645381748, 546774536, 54508317, 819216996, 381092952, 828313981, 555049401, 13664274, 665056959, 107048897, 432987862, 348096869, 423702801, 209895908, 390147573, 835374231, 576253872, 831878989, 221056465, 227243442, 622681294, 616517620, 866157429, 419132204, 372090580, 857245003, 37175056, 979804249, 775864733, 974678652, 141931291, 44263895, 524470386, 339557682, 636857343, 862775292, 953785747, 613145648, 451560513, 692576967, 929200004, 929815725, 446547226, 463065057, 536051961, 610833058, 796037446, 968714583, 824472526, 970042950, 533584831, 170160633, 159247147, 9952168, 819424274, 313536657, 448030810, 259845959, 433397987, 794248265, 298835417, 44502151, 586016238, 762695261, 742825517, 982951154, 575077066, 413233128, 702649444, 175111533, 961678828, 997507101, 436770720, 724635805, 153070038, 180825085, 586419419, 288518150, 440420596, 856288880, 835333122, 176751496, 880446660, 989044950, 690506915, 451571462, 506630838, 927286444, 93986907, 122209307, 615415524, 874332393, 556094720, 241590365, 151346725, 670282326, 321339003, 963493963, 960087711, 779260492, 432297231, 860286471, 581490021, 952290364, 458437289, 597119239, 954137764, 622094105, 400049297, 424131738, 324020632, 934206243, 235897184, 314344413, 762909836, 762649578, 384777856, 628857848, 22786366, 266455471, 574921876, 289882686, 401528332, 288666709, 159619667, 575883695, 553620051, 854200072, 186239959, 239911785, 607300643, 596251775, 529937506, 749218487, 945917742, 479793703, 787699842, 690092166, 872072440, 928751013, 800120863, 834960255, 268551996, 576986815, 894847955, 129902756, 701323062, 15389427, 918985272, 892131873, 924968615, 39700989, 11649907, 99772004, 17308991, 993976987, 56711974, 646143713, 113824738, 112245793, 443635670, 226628781, 169934468, 616299148, 15673869, 8309641, 162299276, 462249668, 102428558, 44582622, 637512185, 679555504, 627993596, 245565064, 868832010, 877848211, 427835922, 531500584, 473504829, 87019576, 152648830, 717914935, 416944010, 902690344, 891917529, 277363499, 281216775, 402762427, 180949555, 874179038, 42508409, 594269393, 834382147, 551235065, 523850100, 12947706, 736152309, 568749620, 218587757, 200771704, 758647030, 81468523, 4842717, 961181259, 906039876, 715332108, 274248891, 115487398, 847999641, 903028624, 769829849, 706918448, 444608530, 903657843, 27493671, 14990157, 545692099, 802805013, 88576094, 640766928, 428610503, 803815108, 704974858, 894906642, 59226474, 28288401, 945013281, 767833855, 798214103, 267252624, 636259057, 508092720, 428239835, 742677608, 2439174, 749606635, 741168390, 903897694, 743789688, 712799103, 547787318, 821244384, 400054621, 826001268, 803845792, 815005312, 77719526, 883271084, 219430520, 73845715, 272428970, 228534430, 628277897, 162409891, 418426950, 830039189, 761710766, 191300655, 601038383, 287520684, 748502053, 186902957, 716282190, 600771373, 950210807, 705938598, 66421712, 104682045, 843518846, 348663091, 246613015, 473377429, 440306816, 691851338, 163422658, 135392796, 513339727, 88437287, 283214185, 117249459, 907156062, 451325657, 579647163, 513000091, 907803361, 551471442, 744358487, 591426222, 206499962, 100118887, 790249174, 73640003, 881917340, 388059987, 882675404, 950922759, 414377121, 781261037, 744167379, 179543548, 910757461, 971248617, 717898913, 770850511, 92008503, 676051468, 323395771, 785693339, 590710852, 5269715, 638467150, 222414983, 761259521, 263644731, 38435090, 511761572, 359786646, 922954018, 244924683, 583067706, 283046571, 318633875, 683594615, 666490526, 701580911, 113006477, 798971016, 601110540, 16906631, 925876997, 182600417, 402025416, 748769228, 952500551, 723955009, 721345133, 437098362, 110577320, 288452032, 157120269, 308808178, 529982934, 537116596, 851753399, 808073596, 281853983, 991840640, 674971920, 881953508, 826863160, 546397811, 993533771, 80415042, 537197012, 243843839, 305803329, 352030961, 961785935, 332682600, 522714297, 670726800, 415785964, 414333185, 366481188, 330700239, 552485501, 488988260, 374517983, 178014519, 491500745, 961531466, 469771503, 384094484, 696470383, 1583705, 22183990, 643154122, 788192510, 962850295, 609310538, 685004814, 832517167, 728213123, 63686736, 979223902, 834494380, 181440619, 657899494, 227121691, 113344051, 633328785, 180707565, 883367870, 619055916, 652349918, 287095263, 978242925, 413225775, 250453632, 881310348, 82635622, 538371953, 71119403, 567086062, 80160234, 392028501, 717832063, 900341668, 907540174, 708221231, 687052798, 619676292, 64403326, 364013495, 488213672, 493438603, 44656594, 887622596, 829650988, 874730563, 846056808, 42506429, 123224704, 111028720, 588987917, 799900783, 707350819, 418758247, 812018916, 642951045, 84909618, 865254743, 926896719, 327629618, 765175105, 735941069, 510166249, 626817214, 609508845, 106648879, 763596967, 767909762, 967382870, 214890611, 553410984, 287554472, 145093584, 899949989, 193975568, 202875350, 845684647, 267851993, 826063948, 685599133, 873902606, 631356665, 118030382, 33334080, 502602925, 493210461, 816193125, 579913274, 110984405, 610961636, 761687267, 410416790, 435693342, 629997227, 164809679, 957304169, 370578787, 124686334, 21220731, 876539917, 159511308, 574256011, 300148823, 614528235, 757067953, 942950561, 38648470, 67906110, 675401474, 258953685, 617595723, 550691700, 679155176, 68573179, 881330857, 497216607, 706764695, 875954171, 658466735, 451614616, 300245762, 450860146, 589061005, 244839524, 959407569, 985586018, 296670292, 709965248, 914841911, 542396223, 347632801, 884057525, 514841062, 204946906, 554069851, 830301336, 483666392, 165280700, 330294986, 586303412, 34248106, 972488007, 485734804, 759938017, 590180324, 380045223, 15436325, 384275927, 97195916, 145718696, 300273528, 758403722, 935394897, 234777236, 586936993, 560650825, 523436251, 441771068, 118128251, 325113714, 656265903, 23111360, 483963218, 250105333, 908932371, 429614994, 648812152, 666788826, 806817543, 39216877, 317026644, 13149264, 750683427, 965553329, 992555529, 644920271, 757324615, 713931409, 246271877, 527010715, 337508046, 767089782, 523531950, 180015000, 449043181, 168432003, 721113458, 131756109, 399835172, 202509715, 945410608, 515974067, 483523586, 813867785, 206319613, 643252161, 902938147, 27252470, 946801989, 189182959, 159315701, 622667801, 942901221, 18658460, 643182287, 748601029, 916630433, 515202432, 541822294, 490971823, 530862167, 277304438, 446091273, 727132672, 920918242, 456929764, 893538826, 61265612, 730521667, 333094080, 92060112, 162815476, 569780040, 362610810, 934934642, 150642458, 51447094, 849629843, 72127359, 134579543, 192371021, 764147145, 813401205, 516338716, 211192747, 830456339, 315151643, 183851735, 771589163, 612047116, 371106527, 21749065, 872889024, 315026277, 630211598, 827070751, 70444289, 759115596, 24169723, 887563122, 361695342, 115655086, 369266977, 60705341, 255587088, 637283561, 69087771, 263951836, 759199658, 13507410, 136101367, 16109069, 919947339, 191841266, 588723785, 201889482, 949297695, 717540462, 318021352, 193650596, 183275909, 333173039, 527173649, 842074749, 550002418, 179952870, 626674461, 291613731, 615229788, 14486008, 316631117, 573287626, 454516140, 987976300, 538767871, 337197221, 166804802, 882200475, 127183682, 260065299, 590933118, 413717900, 928297924, 415530617, 171086543, 178099140, 452647438, 659248471, 283268239, 199164336, 381825121, 704599129, 339061850, 441725606, 389514807, 51072246, 194007188, 510465589, 553206777, 633434569, 113247224, 883598158, 572947164, 878877284, 712099936, 339805514, 313994784, 640938479, 173677435, 992569385, 783085622, 623553391, 435835005, 343903441, 96104921, 262662568, 305211414, 30565407, 506835811, 735317518, 453705602, 79290317, 832425189, 201105056, 555458035, 630438554, 624606872, 66965768, 541136598, 843364341, 475268689, 756621547, 919285650, 153174558, 352561669, 345018536, 747020173, 369147457, 973308422, 392634587, 230391055, 567813958, 713041210, 172095041, 352419211, 224854977, 128265078, 248988860, 81236577, 663424496, 831493283, 155868659, 155836124, 318897640, 641430780, 768635540, 408074355, 112189313, 665061357, 527573143, 468080283, 999768743, 406406275, 165188462, 794283235, 99159762, 970306951, 776722693, 480726934, 48794286, 616045663, 258502479, 219407776, 151179595, 50981966, 121648099, 108069070, 166213286, 824441367, 950939170, 157330157, 411008035, 96057948, 44215181, 258584038, 488607597, 139125461, 382854237, 315536005, 217814871, 613279475, 614455582, 764117195, 884808815, 511529663, 982092343, 886771941, 603087237, 932245203, 711298610, 743282816, 81159987, 471342526, 845021454, 521401269, 462513459, 420269535, 805495038, 727924505, 886709727, 991398140, 868847330, 489891233, 957974302, 558047692, 927084616, 441893649, 963296200, 846736618, 943832132, 283400623, 70031515, 168371958, 332149133, 276380531, 339120395, 553060644, 556860226, 690680199, 837696296, 63371623, 671232174, 729706264, 972601447, 529555264, 211827356, 943880909, 700916112, 957436496, 306010335, 621906997, 965381997, 290665655, 597939401, 630452944, 48513625, 970223215, 882285212, 702055516, 643431697, 259615324, 391776781, 886243789, 399395712, 540376530, 609957011, 726833358, 710199777, 628526273, 832983653, 927328561, 935209970, 26031796, 719174013, 146124733, 138676243, 273707899, 887988609, 51127571, 791944843, 62595646, 231164695, 190065327, 519589919, 2329264, 492875963, 475861242, 442535825, 915267607, 328539363, 287032537, 511610638, 300972538, 318465722, 695832435, 491331863, 988467464, 983128228, 981119767, 430715017, 157014598, 254184255, 16050588, 772493819, 939047053, 499897037, 645524809, 873476113, 317288956, 247739974, 663517262, 735321871, 832517881, 763299126, 815803438, 415349498, 177538022, 237300062, 422013515, 775233240, 682424736, 173716402, 597197435, 996996242, 656150124, 109676711, 903450580, 150990268, 279120600, 829615733, 371069691, 285973627, 876537974, 513631017, 758650342, 522771496, 475217274, 45972264, 188644787, 108090278, 129018787, 70958552, 249724789, 702492723, 130329956, 256094481, 280907095, 693666270, 192290369, 906491185, 904396433, 272782617, 136844455, 536637023, 695112980, 667687494, 948176209, 989410435, 717516111, 813686931, 822199803, 748521836, 948034419, 669278472, 364899689, 376517839, 415776764, 495295662, 479158829, 273309370, 640962946, 21863655, 4315998, 823378891, 25738483, 445394456, 293504968, 455272040, 72289534, 466492431, 549030951, 746989625, 280885104, 666399241, 659813619, 795353530, 250282815, 508321826, 197263951, 703060970, 188312302, 263211491, 842310407, 845323764, 978391274, 521880420, 998274346, 458801062, 28089567, 708002692, 350435798, 23689222, 676952507, 697988607, 791410901, 848690607, 669769986, 891043796, 938295354, 850431481, 303438399, 306330846, 756101554, 898101419, 770590456, 158285116, 465533556, 620002371, 211902696, 883921854, 598974678, 379756487, 627330828, 388403353, 340334317, 136248430, 388901678, 300947638, 550246562, 374553154, 831416859, 199444202, 574230784, 387653674, 706329225, 224061290, 629678850, 620078680, 511218713, 963293195, 861282955, 961110425, 797602945, 941417355, 419068777, 680027716, 684417422, 956965902, 222087615, 968663187, 749716899, 791747513, 970683390, 942794353, 905827099, 759463425, 276111828, 584756656, 509049689, 145915352, 982407253, 717076292, 151819852, 297894513, 536945118, 150740403, 386565889, 411666225, 687831472, 728419337, 985870277, 191199784, 783121525, 918757323, 78650926, 53717984, 508431094, 347458503, 867189443, 563455724, 333899351, 372566314, 631487702, 97968749, 968728769, 795406969, 793090894, 886225833, 841357745, 605381537, 855601392, 931479819, 926622, 674510558, 235089443, 741175589, 339016268, 151404678, 161495470, 872276632, 187114651, 352558494, 700810341, 33024602, 563211421, 582125574, 957594447, 104300184, 358035823, 251768866, 144626978, 665180429, 133104565, 832638411, 519133900, 708922851, 947826984, 561372509, 532328495, 283688560, 209506761, 962509609, 337441019, 499054196, 292959752, 934460524, 924699784, 56728859, 28755420, 137065576, 906475255, 655676060, 843612142, 241195091, 134514673, 649990343, 392546882, 499143461, 61506941, 118510070, 919496059, 752386681, 420942050, 664473640, 705032092, 485348254, 224675256, 867129249, 565026036, 236157117, 761768670, 771135932, 435602587, 879499103, 149028609, 179988077, 698980555, 128996723, 966129512, 994052923, 516108103, 603969804, 265793478, 740727276, 817887329, 64830778, 218890536, 763640261, 719701214, 63364671, 989842862, 437510348, 812016498, 900526605, 720055949, 44137216, 242650098, 403504381, 510842706, 108466202, 262046316, 607378571, 322686985, 316748123, 836111015, 923504313, 591444188, 929438884, 48121616, 520656715, 483344743, 2089530, 826484169, 751970465, 138221029, 330637178, 56093289, 28231304, 836150296, 875743625, 892136450, 906490518, 481424975, 941374599, 666591712, 746411878, 10551292, 228478194, 797691051, 981519065, 770785029, 491140198, 165592312, 469386452, 215504391, 264023381, 29203370, 758475899, 303362040, 95255139, 791009718, 431504737, 997655930, 686994828, 177031892, 161533041, 159373091, 726191906, 666516717, 738088845, 866278013, 825174005, 881862209, 220334820, 427965514, 669701052, 938412128, 929012366, 319896180, 944112425, 299344042, 712047258, 424249509, 893603331, 537708128, 427870910, 254414240, 286184932, 448959818, 157874624, 468470635, 753356164, 968852841, 903937074, 447312108, 624193377, 751032626, 679984871, 896224473, 300061289, 757775039, 100172012, 458040048, 480710144, 161538771, 930870146, 262828557, 378760529, 807298619, 497825759, 188472289, 16275444, 754694178, 756419569, 121903924, 367334547, 247659208, 617045571, 486482096, 177664340, 808832353, 727128850, 627103836, 788092127, 993044763, 329120852, 796845941, 286507317, 73840332, 98834952, 609669236, 673012257, 985685110, 484388384, 641215660, 690288891, 237189315, 684637113, 179641411, 100331450, 331318316, 320843516, 549431504, 765840615, 328216515, 499564971, 762141222, 928710768, 274162562, 184053561, 850949297, 286146758, 822021344, 155186342, 975349220, 124468906, 495558640, 603285867, 635006432, 177537791, 102523120, 358080645, 267916067, 75113016, 781091937, 262665368, 818022230, 908145483, 985786459, 83542778, 285862644, 701024, 223387442, 603373332, 500238030, 662028404, 557138008, 368247014, 337332903, 836246026, 59003475, 484004362, 229346100, 381268190, 51166262, 882726196, 804392576, 81989607, 199679486, 80936194, 576200959, 588669522, 824999805, 732307562, 465225378, 208280015, 301350517, 915418767, 576742002, 199068798, 135102407, 931428333, 408738149, 159041809, 354974549, 578508521, 365565098, 897419592, 163441799, 674500763, 695188151, 509721208, 99410021, 880739969, 228648227, 869163128, 453346186, 989668561, 213979623, 774123644, 436057723, 436108306, 527986371, 266144440, 636256570, 130457020, 721428720, 75903805, 652419605, 501290030, 751629322, 98819160, 598343021, 838434152, 999173783, 247184217, 396227206, 780047759, 585708205, 150955365, 105092109, 103168614, 321020788, 471654648, 364846270, 231509586, 285675553, 18419438, 856628920, 246742890, 99529525, 810157420, 999860879, 9003164, 684289090, 865189625, 725043678, 198327214, 970995574, 155069860, 625558459, 491815008, 327773628, 440960533, 129493015, 439433491, 20498003, 842694683, 114767266, 855890429, 979832780, 245681065, 694259752, 868089873, 987946936, 265241888, 198114079, 503045708, 250554613, 314555943, 270952605, 244541626, 864587328, 950559007, 398020073, 910152574, 405950526, 231212022, 111572241, 440528770, 548985243, 411554141, 568540191, 85116445, 530486059, 428468178, 564357179, 309766846, 900387031, 156958503, 913626442, 88361044, 54756339, 670816493, 164660984, 595298990, 587433528, 897040980, 856493758, 514933611, 198456565, 661539701, 574726041, 726500560, 736654544, 649236251, 608058376, 742722383, 259856865, 703994172, 669784166, 459971722, 199893038, 538456393, 570956859, 416595518, 424529724, 792597242, 334575418, 952509459, 516981291, 424345184, 565904611, 912970447, 573596954, 841888718, 941454670, 382720959, 501224895, 68733364, 50556876, 644825354, 19485895, 959189903, 750781636, 770000594, 768664257, 862773553, 367375060, 50842267, 432821625, 289237387, 138965772, 228563814, 816253013, 169100888, 855986225, 788437864, 450253806, 267258656, 475441407, 228018622, 634398114, 627552688, 690082812, 187352278, 10428869, 937808725, 993608995, 294150630, 587359373, 238941491, 654894540, 846537603, 187868275, 433071999, 836854912, 694152355, 680278275, 799129550, 846343787, 445084253, 268814499, 810736789, 446802086, 727037107, 182973428, 742163433, 469817622, 850965026, 22978511, 484892425, 820448838, 948234123, 614284664, 220333402, 426488316, 32255569, 912453093, 968377957, 139360531, 531771441, 460008478, 409026578, 831614422, 788241275, 124362459, 287602880, 972828472, 416264584, 323694571, 180656937, 165286214, 440232326, 480672268, 695329869, 661447941, 736187875, 821461431, 765136968, 443949095, 534726887, 231510919, 93266545, 442752160, 850311855, 497394559, 912823985, 180979417, 15845495, 373699942, 631517619, 187379277, 86133974, 563189363, 797652649, 959932543, 959273354, 660452751, 869170653, 484132630, 894192129, 861089638, 938337960, 89943687, 626180797, 890394776, 742297469, 728416712, 457779972, 269930117, 511977927, 832226980, 402962045, 499506786, 688079183, 747033015, 31113961, 828276312, 380772609, 435091649, 976900994, 316455998, 400829672, 176503567, 413496175, 664270360, 239517064, 773558585, 67179314, 9869024, 16713172, 231025067, 320689586, 456045667, 888905079, 191769735, 29040822, 175037663, 298369271, 12025163, 808967491, 854256722, 453625573, 437969500, 594303869, 253235713, 102429935, 287016229, 302270909, 862490438, 404327846, 695221840, 128032703, 932948327, 162966570, 909401610, 136399068, 879791767, 361638783, 888084598, 676078831, 386286752, 659035773, 86223095, 963465492, 868098079, 667737647, 517048047, 945534088, 746977782, 837473, 151537704, 404377935, 576829694, 838950094, 313085024, 237641187, 569600573, 194868935, 730029284, 675871702, 803021464, 321559674, 355731636, 129964682, 851854721, 724867987, 380277089, 532146146, 108010557, 37926617, 298224348, 470048607, 513592544, 226036964, 598145770, 610173814, 79225172, 545402821, 799647254, 337321499, 585174163, 193214014, 709480227, 468803214, 18031388, 31835365, 242062720, 436755629, 423652860, 54253089, 76391265, 903278212, 174275524, 110151425, 447502947, 646678253, 16308611, 959337089, 492513499, 20143745, 417214155, 81436072, 144453044, 133204352, 199781039, 224690483, 168839985, 880879623, 707682267, 619752583, 901660299, 369163868, 407636464, 620502727, 468575884, 384306311, 154936545, 901675078, 226855618, 587663258, 326562486, 663122779, 303430538, 678308644, 604330620, 417758099, 218973353, 501004101, 305700825, 135876569, 617265509, 631279522, 359049206, 659060025, 522302539, 732000855, 62405425, 484662731, 248296700, 803109834, 830613774, 299679415, 774025842, 837242042, 977629317, 839813645, 885345413, 901567618, 26799632, 840991168, 361283105, 305102854, 226062154, 355930433, 17271219, 900197701, 873699162, 489034046, 250025796, 4312099, 726140012, 363233706, 387455329, 689025253, 263148444, 535144802, 119610252, 127379851, 990099235, 471643585, 853200745, 526658780, 167043913, 720819850, 304184545, 518523337, 906874615, 763704358, 529743753, 226138570, 699197659, 703863611, 701260127, 560476520, 65389337, 146496090, 840594075, 186692512, 843505391, 851708424, 254974512, 485873974, 502395073, 43725734, 9036192, 279010257, 907888034, 118316255, 510685196, 503099155, 700159823, 376166506, 300849396, 335102044, 864239161, 328161172, 793683069, 477799463, 185230744, 53314503, 441868898, 533607399, 151952642, 783378065, 453407293, 210015609, 884050996, 607178653, 267401067, 132749357, 499015594, 535022229, 353718776, 515812298, 785263492, 332709882, 476446758, 815191659, 830413907, 121501204, 132201022, 26944477, 312434619, 286525963, 335077284, 684856201, 223330445, 705348676, 597132704, 686720626, 562918725, 716290965, 847882767, 894573524, 101598321, 20238498, 724486010, 463401940, 528611339, 220825462, 761256413, 636749463, 208309411, 368254788, 205600943, 45316275, 273877363, 721808961, 525993439, 77075712, 867169830, 20860213, 454976847, 1903821, 898270647, 246323903, 975674800, 560731028, 459947987, 523189674, 349132931, 921902521, 753566337, 673948702, 220713394, 89588354, 140298623, 684396723, 80923063, 1453032, 394719234, 830882906, 885921549, 685212579, 867170147, 485929648, 858571656, 707049703, 592448364, 519977949, 590550300, 535943906, 231749369, 856431322, 337875389, 701135843, 678431068, 184869685, 177232215, 268745259, 229764405, 71269897, 576226971, 400375015, 549689997, 671790751, 909125653, 273618459, 934998046, 758012770, 881048188, 677987464, 813079447, 885735743, 736504113, 626535983, 758198046, 149895848, 102388730, 125051002, 141261553, 649939793, 304907335, 286189903, 147661095, 785702603, 951040105, 379439540, 671201810, 78709379, 522202553, 750333909, 548443527, 202203763, 299557501, 546312407, 23961861, 5004597, 579122407, 622761914, 257657742, 112456594, 7500674, 979479909, 159749077, 153791664, 485111253, 16531775, 179692159, 803769235, 972268225, 600670120, 592839520, 550482391, 882007388, 605758975, 430459133, 198716690, 998945587, 156410320, 544780833, 359507465, 599447768, 268013733, 461939352, 166243000, 954052748, 656397885, 990413059, 964358259, 532827604, 230511191, 653612559, 732000574, 157537915, 586848813, 359314928, 904207471, 962710492, 440923520, 206433869, 577388550, 103528063, 338209138, 640425522, 463677457, 693217376, 74143342, 347600686, 356382246, 728010707, 448091395, 873610017, 945677029, 638687003, 430155381, 567467061, 23880215, 169614149, 469139335, 887289949, 343474252, 829772355, 180382863, 840136255, 484168544, 705737079, 194625957, 73155670, 502272846, 927810334, 38404448, 48563440, 891923934, 637978659, 807859122, 905093622, 263014049, 379848894, 204646160, 685599987, 389002139, 107248888, 559157918, 573476643, 205014829, 428441930, 253113997, 119808717, 263556555, 459537218, 63363506, 90944162, 84434294, 739281960, 329881675, 307245170, 350148491, 879766951, 499443283, 150840312, 363841547, 845098647, 474737136, 200397283, 88122441, 642846926, 616992862, 408469076, 859159038, 89498507, 310620228, 496742330, 692347486, 794411084, 407946444, 737202105, 310473734, 30317030, 666656284, 466411491, 590402934, 456112027, 314143392, 336417661, 505795890, 650208252, 172376531, 110367317, 767819875, 591628663, 792995708, 436655172, 625051441, 881978423, 534908026, 108274296, 407219129, 745173053, 994340351, 548602473, 778667905, 33188327, 709504856, 777228369, 181340480, 224643881, 549564667, 485672441, 735576857, 242494420, 982117666, 556299319, 959267996, 551331982, 999944155, 395265331, 311627937, 830706334, 100112801, 845629908, 444861243, 803900805, 199928389, 859896831, 536780041, 277323573, 897782549, 276121491, 829541258, 251447675, 214775906, 476093284, 955954872, 284837462, 337008866, 361605712, 113867125, 44057119, 725956334, 773009940, 798186048, 480217945, 909282605, 670045, 549240463, 660968983, 180432874, 605974113, 713303037, 176976674, 294796202, 647546581, 291192229, 448010115, 858603909, 352945279, 210570629, 888290397, 427623640, 826922425, 166656505, 109438459, 66900743, 971509983, 26774190, 652806420, 203164896, 837089892, 408299435, 969852549, 537963053, 801744638, 748354893, 838862142, 214559464, 386842070, 154926455, 347787676, 375544511, 318515719, 618152000, 522170008, 193273324, 617733365, 188400877, 34105661, 69599238, 515192212, 105034453, 220236755, 324607453, 514255559, 22052678, 834493414, 714840805, 984979445, 433887812, 532657777, 646898879, 86766815, 19047898, 666361044, 492028378, 758597927, 893839207, 476009005, 91969779, 88830607, 580670162, 609182792, 158286035, 24264918, 557803951, 448990752, 973520659, 914756944, 325414626, 91094144, 449585780, 949259561, 611789724, 342025726, 848632061, 588235189, 365882819, 613894553, 1281261, 801373027, 875675309, 44370651, 553467085, 829617096, 881733940, 838023124, 265554292, 891617519, 498641153, 293074204, 358723895, 402200470, 31396712, 668971949, 627536541, 393922994, 557702951, 733725502, 867516213, 85337382, 807804486, 463084854, 44626272, 165227710, 257936543, 981087142, 354874796, 312244442, 708727970, 989397110, 792276454, 964669724, 598180747, 762992194, 100072987, 806915380, 199269425, 363595979, 930271222, 225531747, 524654862, 255558606, 270052714, 992463756, 717325763, 430454396, 297935387, 822946901, 112356658, 540285064, 800698307, 358540645, 232034502, 7033907, 561330536, 229619034, 488872959, 587958656, 115591270, 292442473, 922433881, 157768331, 713589863, 290112246, 117474769, 149119603, 7861024, 801357877, 698612652, 777638001, 561205473, 532038320, 483420333, 221290463, 202781664, 455142854, 863376138, 208834130, 512061624, 183867390, 191623029, 559770826, 370969056, 898006682, 350224358, 990579715, 307835467, 150950116, 787010974, 644614988, 260694330, 893970273, 217061935, 230878776, 910870666, 724998560, 534835015, 233087738, 543435955, 293280934, 183371410, 277003421, 271210343, 993180209, 945429560, 220872478, 833883846, 140094327, 23676880, 845400118, 685073777, 440497830, 611891886, 316986182, 360774180, 466076404, 639933186, 87583273, 992575297, 733955601, 987472821, 726999833, 88440813, 624583606, 519967768, 608828661, 321302962, 617052176, 91060516, 381298224, 346882404, 193685481, 615335843, 631367632, 632252430, 490381647, 421909616, 251088428, 303716001, 146308667, 123046144, 918289326, 432283751, 972428077, 957735628, 84605215, 462312972, 994093076, 338665499, 489721290, 70929116, 122157328, 550290556, 621704155, 680130454, 442189787, 834719043, 61669027, 527461040, 380186862, 85126660, 431473712, 806389334, 654991472, 368637674, 811588729, 610868190, 314676305, 46264034, 52596837, 535179635, 774973744, 83391244, 667299711, 884944430, 449712006, 209436312, 411131074, 270158540, 395117081, 392236619, 934175523, 511611281, 365470357, 302510838, 969912075, 841609071, 669756184, 172695415, 309502917, 249129780, 364903617, 332886564, 579000693, 379221284, 476262065, 115550512, 759227759, 537285548, 661009855, 922440438, 207269265, 142432579, 511077487, 935356312, 827526423, 802839691, 191039706, 502104837, 643690747, 395532681, 702147665, 665558630, 176709380, 615120997, 893250945, 537739023, 282121934, 27311522, 234481652, 13996766, 312741007, 111139485, 273412619, 709439992, 916271619, 277572625, 683116526, 984705575, 310369074, 895022045, 148701404, 694291032, 763458295, 577060359, 31891723, 808868275, 557931746, 408253637, 237405341, 425963367, 590040333, 610691588, 724313629, 784980933, 944527864, 136491283, 938509231, 686964970, 293570377, 320325406, 235439922, 940012797, 896214780, 849735508, 50423311, 889658482, 69390565, 415279507, 968580723, 753337398, 26128275, 984691913, 501487112, 865741470, 116205352, 216651516, 140740012, 298674646, 182363508, 312941827, 452282443, 345698324, 416646118, 483006047, 796923801, 505012598, 179873062, 677449130, 792637348, 986787183, 740001469, 909793378, 397693810, 225920798, 220264509, 202299712, 683766710, 447419594, 189672775, 453824081, 147425955, 77063024, 215736978, 502051474, 484485139, 576931963, 895970502, 942280680, 829825908, 383711535, 408703838, 660150305, 462695579, 45200997, 359737778, 38540232, 130077364, 676857101, 859839436, 545381883, 276083817, 105144784, 405797433, 688390704, 305353004, 985127471, 961271118, 125246624, 847964315, 344875157, 320106122, 59750873, 813073999, 953158387, 219553617, 320211910, 286318344, 948991458, 560945247, 123411595, 124274859, 865198152, 512231113, 295617190, 530833397, 394692216, 732476149, 728815502, 745377567, 602714203, 383049507, 894380441, 707917555, 893808478, 762584507, 623780786, 198072889, 458915623, 207409270, 691754956, 229591764, 279777530, 883825432, 881007942, 522586896, 400477475, 916258767, 694072890, 81593916, 443170279, 976699281, 55331692, 660174038, 895247532, 248935868, 772787854, 704222423, 352502936, 85485771, 28112699, 747792697, 425614366, 959374918, 108659902, 65813598, 313581616, 771854207, 336325254, 595262148, 514228025, 954907663, 422225389, 517381386, 431312662, 988833062, 53614438, 845181968, 848399261, 284235910, 562733438, 329475380, 781316199, 388386342, 490426741, 32708447, 699049621, 963178005, 288949809, 423363067, 884356374, 633707471, 317402609, 914541866, 640612042, 102860544, 996725734, 239833476, 363656463, 434368038, 969253977, 821220949, 531708983, 998360963, 737683386, 307597737, 100455677, 441631454, 587094613, 876598901, 656687337, 15940317, 181186907, 491894204, 361100592, 359282209, 631504136, 793956423, 217168982, 758434020, 105371195, 543792682, 2810505, 521396816, 566659946, 19328085, 209136362, 132346353, 568570158, 935158206, 472367907, 143861031, 621544264, 15261229, 225023387, 387283010, 415068800, 797501515, 735662909, 585280889, 865302962, 956722796, 863912592, 812999216, 953177692, 522526016, 933457706, 369878246, 717268034, 749548810, 45611623, 150620439, 322784368, 755071818, 911079220, 263816085, 21399865, 830679692, 745088646, 286888683, 983957615, 474470891, 709452260, 235636723, 113560232, 749144008, 6023180, 68629004, 450849210, 768721012, 307514486, 49911961, 180369613, 403158969, 450425374, 605363548, 110373404, 418051062, 999135530, 280197064, 648601115, 422029787, 277127732, 9364126, 801653961, 67448061, 161069103, 442044400, 99485671, 337186944, 156590096, 900725647, 985365749, 569995196, 410335300, 745740429, 700775565, 836971796, 106976914, 564913327, 788150924, 32869402, 808608604, 849768704, 667326539, 349899881, 95523753, 911364722, 493694357, 876496354, 952639833, 270241355, 643479809, 845045917, 542029743, 946569514, 329975835, 693567034, 669277708, 202152686, 459211089, 573374863, 780250135, 436322974, 323865335, 210939470, 998850234, 139435686, 326309672, 346261019, 451257421, 602732199, 859797073, 268692262, 153542735, 560460620, 953259110, 52164776, 338257298, 347594487, 635937946, 449257976, 110806041, 815950024, 942390655, 385758542, 530409316, 545060115, 4618461, 339042761, 365872377, 979027052, 871107563, 546531139, 762075568, 726908301, 406096986, 17005641, 752415716, 350146263, 311569851, 699472417, 181106819, 435203313, 447464053, 249245900, 191220648, 245011333, 127526353, 643085334, 215693714, 788071387, 696089578, 884854730, 787463780, 751345959, 309225389, 124912247, 607303804, 641153014, 762946986, 984961924, 708295566, 33781503, 322812894, 305434589, 430457952, 325102082, 55124059, 309577987, 911377165, 277486315, 288433571, 105049429, 568665647, 180162080, 333896964, 711613464, 900383682, 844860867, 870099389, 126339866, 281105241, 309790361, 128121623, 913704393, 898654699, 604021576, 526134440, 105518469, 467942230, 924189514, 910274165, 843114776, 591886253, 839740714, 150699784, 8265044, 646435830, 826460155, 616692993, 787975343, 306300037, 72291291, 573128480, 842547543, 331099576, 848363238, 547503297, 452568984, 142102322, 156559878, 303565892, 530229922, 895515762, 686779588, 928025512, 817283873, 8356857, 919813013, 227022899, 645405806, 837923974, 751795669, 77102191, 542464295, 472370018, 275042131, 477634474, 86435414, 742377832, 892115115, 807230103, 266772250, 491938244, 804515533, 941575406, 159463968, 361270637, 275795712, 773601772, 765847059, 174053232, 751594066, 328437205, 829814373, 986837513, 551199157, 347188683, 196181940, 142966938, 247881044, 954335967, 625450824, 692987952, 906654723, 566148286, 119266778, 32277853, 585098462, 597364562, 16066152, 514932397, 351147396, 862247811, 462352993, 270372337, 448537742, 226644319, 167742167, 434129798, 245854363, 245296052, 491149405, 360629267, 876580260, 925126699, 229091151, 802911274, 518908614, 103700575, 144957406, 355378834, 560786946, 185018596, 664184782, 645388669, 637558527, 25349984, 764907373, 862158190, 217392987, 342186325, 598784528, 484945380, 629482247, 541771823, 477472176, 502709247, 15037076, 970159473, 354232500, 383247444, 791887737, 61956400, 821142925, 590345181, 611776210, 967778158, 371469746, 634874492, 451057703, 644454574, 159555037, 767904024, 963617511, 909584929, 663284319, 135869378, 325963617, 987358982, 388290532, 73869960, 723248364, 627822089, 289608610, 509370640, 936272135, 56694132, 871965444, 276821091, 243322974, 789220935, 909360408, 108244897, 445371373, 718815723, 899545204, 815728255, 9809377, 958811723, 93755571, 145912881, 827641725, 795598819, 250941746, 925511213, 747886555, 238496297, 248316762, 540271983, 238710792, 795126197, 349437860, 131432569, 394443761, 935404135, 503456398, 352776369, 826441788, 289798174, 989755753, 246718087, 86038313, 798916982, 348209066, 365777555, 614859935, 558227743, 471916555, 218861711, 610198927, 625694937, 576401271, 938600345, 574342898, 354193817, 101648197, 295176544, 271542729, 402648052, 397302494, 957410364, 672852396, 919754253, 29120888, 572565292, 598384503, 48604501, 591800481, 607795741, 962974649, 360704292, 697031858, 243604215, 684191387, 216613857, 98452961, 84674912, 640382065, 288114214, 268220841, 571284325, 10290148, 143631661, 189427196, 218793845, 690943134, 938489265, 850784848, 790078410, 690199469, 311056499, 874898481, 181359038, 730038630, 535972977, 976609238, 14957487, 664230835, 14937134, 768219184, 993034373, 370628184, 396361484, 258200585, 693619766, 890908489, 431417705, 944725121, 910126739, 200873881, 17371681, 627929316, 478390309, 635050857, 641890709, 129564667, 348184506, 510116066, 734733445, 477678774, 166022080, 805292828, 551152216, 261729070, 656265687, 718284007, 672583619, 31172101, 86673781, 754070781, 284040575, 347513831, 126416220, 165273497, 433699640, 128212903, 893661256, 783925700, 48746233, 195211976, 615684438, 634882248, 817723056, 129988611, 634503132, 534431399, 903662745, 617623528, 927557310, 18069385, 252310250, 240752760, 625649892, 783764089, 630807662, 901842620, 987588565, 452233437, 598818043, 43529061, 114378635, 570626488, 928804995, 192557727, 580980604, 923426029, 509226486, 499731238, 932121392, 834640561, 120520725, 620611413, 458079845, 365921687, 85128583, 414357682, 415564149, 473133864, 704008642, 50386138, 847953200, 213428192, 114324675, 82411813, 551121920, 489791424, 717478777, 92059208, 478914940, 216393510, 406303741, 94337437, 659410974, 749521019, 494967163, 257039837, 159003908, 818238321, 508756219, 115201414, 172094801, 287967626, 83125314, 354898893, 144190239, 980404896, 961205290, 506144532, 329986476, 347938306, 362167724, 630009261, 397693839, 568395533, 135474949, 461162005, 244713821, 266461737, 772759315, 231290765, 580982588, 212609619, 255972936, 83689263, 804394253, 742997603, 563181112, 237952357, 216003687, 290624072, 216785423, 240281852, 394090433, 873304812, 627836065, 612636015, 575028025, 847904982, 305619329, 298512708, 538171836, 555256840, 359947164, 192409836, 422415079, 677422009, 925434845, 384877329, 902758485, 530389695, 936836708, 680542433, 980314998, 983730526, 961294167, 130063656, 879144990, 647152725, 837899759, 928517489, 987699476, 195720130, 673593960, 915757943, 333503050, 593995595, 346333369, 251871842, 582447389, 416169132, 223759677, 957136823, 944988282, 334297104, 215354334, 383653440, 364121335, 8940651, 479925279, 901681853, 371773763, 833938346, 517087021, 213151022, 780992340, 246819400, 206117637, 182073018, 218911165, 101442633, 338432781, 177409966, 224528315, 562813502, 680216149, 267562050, 939793266, 586512837, 465163490, 803554319, 720542260, 487685889, 138830096, 666425126, 804741628, 589441497, 33725235, 300600493, 291493401, 306492041, 993451810, 391748853, 662695483, 818700109, 418532288, 415154350, 149487965, 436867162, 378634562, 638977883, 468175747, 580882273, 510198020, 990502227, 674379021, 770298609, 734126342, 880993255, 199715104, 655292646, 80353527, 404027456, 52077217, 892135174, 75848033, 271422882, 748733615, 478927046, 504629584, 515723428, 962777972, 879771507, 714760099, 802396561, 756511660, 221069449, 234679878, 188087791, 57195105, 755952971, 832729373, 441707193, 975233735, 167015173, 590537578, 223990992, 956401068, 117727916, 750546816, 814339618, 332691164, 278877878, 735151416, 762937634, 963925923, 241394329, 120871810, 182817857, 25461625, 195409328, 520928939, 504234202, 191885612, 430851210, 844180516, 973356459, 504624966, 865116599, 337592187, 535838311, 336989659, 905961574, 512155015, 47972041, 80467223, 782518869, 303892313, 304038619, 98524105, 948860214, 51693470, 785990769, 725702555, 22949119, 633640214, 170170618, 610657799, 479280993, 162529854, 403400007, 880261800, 140112000, 140769581, 469003657, 151629767, 284279023, 483517703, 554241366, 955019708, 191473946, 304769306, 159002524, 942790057, 537128405, 39313898, 165271957, 764979259, 170922159, 190396436, 301955174, 828478388, 605214433, 618440128, 785547360, 789994183, 724439339, 815700362, 297943016, 779496447, 761957261, 494459298, 362300426, 25011070, 952863427, 636909175, 153066809, 602963069, 794192115, 592804656, 607575717, 80912339, 320118446, 832154624, 977738957, 281838791, 770810560, 160637789, 88622027, 91655331, 131558388, 246279037, 325758018, 647873813, 327980229, 745956504, 454608333, 275510551, 491035996, 578341759, 309144260, 84836637, 268629677, 166851233, 372946402, 12419308, 976496431, 715046849, 586673159, 310547180, 88216885, 257410658, 63586039, 253400022, 307985163, 43176416, 688141789, 588611307, 147105381, 411337967, 194773937, 354459455, 534749237, 394268812, 713792482, 694076963, 564014545, 156562250, 621489217, 199683817, 656928358, 427904333, 729622413, 476571840, 875175104, 447821191, 187597352, 855568586, 938533744, 960077559, 987351300, 751834356, 368990799, 538673986, 26459726, 963707588, 503005786, 826938348, 297216454, 878035280, 322310301, 824331842, 701147636, 260393537, 497763875, 670710319, 328137830, 669610837, 937834082, 952108329, 886002414, 46032256, 317207170, 934096665, 165246418, 206401549, 778951930, 837145491, 770451866, 528012900, 265739794, 292540064, 453977860, 754215841, 31158343, 349216516, 481495923, 180848663, 993415071, 187183720, 995599333, 172011220, 771245882, 916847250, 70478627, 971645781, 219542310, 342086402, 473950571, 5226309, 179617926, 619125803, 387308979, 386054124, 529481778, 394209203, 724163144, 29400080, 227877673, 143571309, 747967869, 852808355, 446372167, 543497908, 265160091, 998621848, 841971698, 851466475, 257035279, 256578719, 647302425, 62503983, 996411803, 926568855, 819007069, 657950186, 983324785, 576441043, 623199867, 537188185, 446891452, 283948012, 186442965, 595460487, 342976417, 227154825, 206207722, 136200738, 187218581, 944569487, 446144924, 38002808, 576729709, 25115909, 240880092, 231962738, 997292212, 824101218, 64589779, 764525884, 325943967, 482033544, 786835514, 468077066, 745285798, 89845414, 489327368, 33413890, 526863614, 540750421, 709258798, 874730369, 848275150, 651079146, 818525875, 221864260, 913287067, 312339048, 508206963, 269730987, 217855008, 543131096, 357416223, 312914935, 827876353, 434367049, 246649131, 747327083, 51931521, 855822902, 100656849, 557554307, 777229278, 101778752, 830457685, 18104466, 595195718, 435105223, 425630333, 608940757, 784307580, 192380825, 16531918, 407821122, 333437378, 581065934, 428333391, 465796673, 560397201, 838466003, 748687449, 243210495, 37796678, 345906143, 845201683, 533199200, 68930685, 385628937, 298209485, 392215354, 788128097, 957372215, 709171262, 779395409, 623490766, 948366413, 684937011, 805587259, 849729774, 16608749, 598465802, 841362937, 814283321, 183039986, 529789023, 558871141, 803359673, 425186335, 298629295, 639947466, 57614983, 566661328, 349724837, 857352648, 761579972, 51309842, 229965283, 442562766, 449318615, 414406357, 377763855, 496122699, 79683390, 597366209, 769156337, 861895411, 319743119, 98416621, 626060155, 12650534, 479077853, 175483352, 630477276, 258867261, 832838845, 446961507, 622629336, 742711464, 601343299, 494028546, 857971679, 553800783, 565418133, 558270702, 179068516, 165270152, 392811392, 660747989, 657638430, 649902464, 166684273, 592784489, 621356018, 284220266, 175603685, 234798010, 944307798, 550133543, 688785449, 983211217, 3400319, 794137631, 380584588, 98618518, 127820915, 375197361, 459044907, 10459186, 242783452, 692743622, 107031393, 577341584, 672151369, 384152192, 487565311, 222775268, 953420475, 277088336, 249703365, 401537684, 512328625, 484295890, 926303689, 374032541, 636392084, 823276380, 404813070, 550848860, 922132397, 385656555, 692764390, 318412899, 529451229, 174211112, 11793432, 893999550, 232044510, 620097962, 366866360, 992017684, 546719028, 545999242, 66338379, 356504101, 236120395, 302945458, 924073589, 891570266, 94556048, 612724268, 947373679, 902581814, 617325942, 229092067, 94123395, 153233395, 417573418, 881418503, 670883041, 197558948, 386919768, 815747839, 879694835, 665731319, 382656064, 689226478, 93615480, 321114165, 330254782, 559210212, 692269773, 10826923, 792370210, 517909570, 694422547, 847824243, 722248802, 477720044, 129327830, 669230352, 452977061, 773954657, 381111807, 239803715, 23369709, 409125506, 199324327, 922875078, 87662977, 467052613, 107682950, 783322772, 919738839, 249719858, 981921318, 965529115, 266099709, 7966177, 946162642, 346174810, 215590407, 275139131, 277226162, 325993220, 278689395, 81461489, 846718424, 889133130, 151570321, 869530719, 389822789, 455524763, 270274010, 650289255, 519554541, 361145631, 182639902, 167016260, 432007969, 61186492, 89371261, 517056150, 286731171, 754522057, 252077569, 591208022, 647731507, 516074255, 128803673, 862773453, 254322828, 390364794, 599270231, 990997577, 653394014, 572099633, 197044235, 955684283, 720084376, 555607736, 38018300, 903948056, 959501105, 637369840, 737107330, 227664256, 125969019, 623987746, 706463806, 546432385, 150085747, 548695310, 876511279, 711347932, 948360786, 202798205, 930090943, 534536595, 583999182, 316639362, 597449902, 59704669, 870811958, 859143383, 400965438, 510119998, 226383868, 490587205, 266984757, 87762420, 926418658, 332446558, 840223342, 553715693, 392037171, 274169506, 663002709, 40710596, 35685209, 896187320, 711579885, 844522980, 947257175, 595694624, 994826246, 802507403, 983126902, 952249574, 81166143, 343644327, 535687009, 421988160, 851316754, 307588133, 800332875, 120396882, 996978618, 969205346, 552993814, 951450118, 445974328, 398402369, 528920036, 810849820, 299954419, 476621993, 181252309, 616780198, 88447564, 776880191, 400217795, 666094871, 94718293, 107630860, 844135555, 414465723, 745126650, 75641238, 243170712, 949391735, 502681535, 23668648, 442498517, 172378349, 602303658, 807573757, 66248686, 302732102, 624419868, 526783119, 214759879, 56938848, 773989963, 6116688, 529841719, 791766255, 355991306, 452011847, 274887655, 919057665, 864871858, 917343711, 578369119, 361234802, 95351090, 860040594, 330241482, 132637235, 155390119, 70423475, 644954261, 604751333, 735667371, 422975210, 529911598, 545990160, 215568029, 784022917, 392679125, 150836434, 465546536, 276444712, 710618327, 458954173, 832088356, 746271789, 54477633, 521737764, 240717864, 495840303, 951620346, 760039808, 659102293, 688323712, 854617182, 492826493, 607041633, 300831073, 450471733, 801705878, 333577406, 478315774, 83066062, 495433048, 272973630, 505717658, 97135636, 822021397, 716926942, 570903994, 827377353, 76844756, 747320126, 258374912, 890704745, 103282482, 144709901, 250436031, 607267693, 232252368, 815372524, 463139871, 246680768, 475146291, 826993682, 14821143, 582618000, 534341663, 631404550, 541434981, 665611801, 439472516, 897865317, 484282471, 561614622, 180373148, 860996285, 530278936, 115871409, 817624707, 791959598, 665648441, 773590979, 353891532, 43897111, 549244181, 525385983, 356649028, 855581819, 730085270, 781276214, 553287764, 480390338, 315727600, 589134012, 349934365, 37358253, 133571856, 809362542, 512602058, 984259663, 964892106, 830181682, 193362496, 289208475, 858078775, 335502210, 668040627, 123040187, 723809350, 392230477, 349842690, 176407357, 519890462, 803398589, 844127922, 279530764, 777503580, 825807028, 874698322, 654595778, 299084787, 448570056, 998702756, 878871152, 144487626, 280164554, 541342381, 683395342, 704525843, 635099071, 871444074, 854755313, 545241191, 416677760, 908439008, 6280612, 113360698, 825184506, 498428555, 659322838, 206692702, 819773326, 78509813, 575568871, 494708703, 692886408, 198462687, 994113725, 185696109, 819841991, 924678596, 441790433, 160318877, 126342606, 132039028, 890339217, 35197293, 483412951, 290801064, 910545488, 236863515, 46764274, 464051392, 705349721, 56030673, 373758335, 542470180, 379511807, 807549296, 566007825, 62442422, 816879187, 335245083, 627558082, 670926079, 913404550, 981645396, 607214853, 111429998, 360143626, 820880153, 700969905, 390915578, 81704698, 606305205, 818997036, 839579420, 205823519, 155585230, 145122266, 964846227, 268585342, 450880808, 290929733, 701570811, 422554362, 176081897, 921511615, 101089094, 288879064, 468402799, 234186782, 332112040, 832983691, 926725338, 327837559, 991436149, 518001660, 474487819, 656995807, 899615488, 180818148, 499714157, 959395358, 274988400, 388367489, 439505828, 696162650, 510738466, 986082850, 229346437, 255240424, 293639399, 194808292, 13506092, 609265792, 464637850, 75227982, 840962626, 267354439, 336203474, 439461853, 840341864, 721752873, 776852512, 592626781, 135552747, 495942883, 255544023, 844365536, 800862206, 971108705, 717545873, 513717583, 793406444, 439190925, 321561537, 700764137, 250605404, 335229767, 583566674, 489981661, 757774134, 655977442, 243651798, 967095277, 10153428, 836309965, 309872372, 342038642, 349645730, 792751025, 990921299, 760149052, 567740315, 271399569, 175397879, 33450913, 651436244, 481824213, 403282862, 194689102, 143928749, 640446543, 650847561, 165382333, 21330574, 559749504, 282940989, 635452680, 198970804, 787741454, 224206403, 116876475, 888283066, 155625883, 860938482, 99088315, 484939080, 364475419, 153539142, 226078558, 750222544, 213606507, 688894008, 276468095, 278536363, 309485454, 494814303, 565847172, 185128670, 474807123, 433802845, 898356688, 43128309, 943678481, 969260612, 22405733, 710265235, 117100653, 838713994, 728511539, 888476942, 495013699, 520660543, 580415397, 712448051, 742683544, 462624548, 480195166, 360713853, 296023939, 136173400, 767333058, 887881473, 565244375, 692747906, 432832017, 25138485, 638412308, 130522256, 576208056, 84298855, 410520161, 416427322, 389088761, 624078853, 902418781, 760646470, 258257149, 899910699, 776203807, 19849935, 646493819, 560776196, 546763519, 823332256, 734592445, 614286546, 616045382, 989454045, 17075584, 7877742, 502817732, 224907449, 855294437, 101417127, 807471111, 560027782, 533618440, 678982159, 848796093, 689859567, 190011906, 5785746, 42930470, 192270620, 880400034, 838024067, 121561205, 290767336, 111960881, 853019340, 341175094, 766270350, 188758306, 727467556, 136319432, 576969623, 280426212, 623323983, 774448576, 588954976, 315027230, 803856696, 29941095, 431948971, 142281161, 925124433, 861392125, 80891864, 972043980, 629020667, 561805004, 312315151, 476215536, 771343174, 987329546, 357825065, 336891650, 411555915, 343813589, 195820445, 882645414, 410720520, 753478695, 663992720, 774220252, 749137259, 930691248, 434923257, 161093539, 770837781, 354312961, 193395774, 367123461, 565354245, 679270793, 397628751, 217121216, 11760875, 403564348, 71150102, 368592024, 897815353, 994505662, 408127559, 13668410, 69820824, 69774071, 861606001, 604655326, 121848283, 363261206, 533544368, 538663570, 172311982, 220197600, 172089912, 165169436, 429935475, 65008037, 699439776, 273839877, 490141238, 490067959, 444898877, 393713858, 176355122, 59295682, 892326741, 281583835, 687723650, 870182540, 346071449, 332969843, 335722873, 337845984, 45176399, 24415806, 2308862, 1110263, 952816287, 413596322, 457602184, 608181126, 138846196, 683156584, 648555388, 136354769, 70181525, 911269767, 348803783, 586386836, 95395008, 639691462, 197246507, 784316873, 351344494, 516118995, 133439447, 209032763, 754815525, 844000344, 579497382, 543598008, 669010574, 810144603, 990464876, 974778641, 697366177, 327010262, 370312488, 560846170, 792223978, 70777692, 730059355, 645250397, 267577093, 38654537, 752518626, 382980134, 931773562, 481034793, 391116196, 978295062, 460741013, 36044394, 427642224, 654541956, 229620044, 480648144, 220672935, 74255693, 164517499, 848528607, 698706905, 270106207, 72249359, 728454879, 401029097, 749737699, 540722419, 515623264, 186253746, 447327384, 667749960, 257643019, 53384358, 244082175, 319549014, 824197936, 312631521, 223966894, 407534855, 232784358, 271917418, 921835724, 796371425, 768552953, 771116236, 720631769, 176115214, 463104294, 32601129, 873101983, 726488097, 905506187, 772022708, 790766539, 277549142, 258224017, 534233396, 457451484, 984765991, 666356229, 285112732, 105240204, 928779057, 733734550, 426028638, 85012999, 607498383, 350044059, 192726117, 785458212, 5138745, 638384576, 530395046, 160725892, 734577696, 298137775, 647176944, 636168408, 916717020, 145883949, 21835951, 609989524, 624600036, 130858009, 196338930, 205677297, 242576008, 182054034, 173135017, 310635461, 239132350, 820851500, 952663487, 842340211, 870203762, 136114077, 875790965, 997698949, 398343918, 120520969, 730588957, 512775855, 8402306, 149806096, 944510804, 590083469, 73224200, 638298925, 377854673, 108235234, 523684573, 737188402, 2401175, 346457936, 172703383, 68480745, 645510646, 29654483, 134565318, 758053746, 173563088, 30554840, 677360534, 923509332, 473173031, 395834641, 895652708, 605630278, 508175810, 764267340, 286758227, 744444264, 379175927, 449921848, 733348406, 580120246, 517256243, 809596999, 389739963, 149587825, 518270340, 781470036, 338561638, 390916754, 176754554, 761794037, 291256125, 837185091, 732116166, 43956658, 150478758, 774125829, 643082844, 433448966, 145624080, 658759579, 975189687, 182969393, 969020183, 514460413, 407090123, 806351506, 546163661, 456190832, 767790206, 497309281, 279638005, 353159068, 188343504, 276622066, 11211935, 845988772, 129716351, 179604516, 901713398, 807188467, 221256876, 372100198, 210494116, 3705926, 424688858, 241869215, 463164360, 789967778, 906824777, 30644170, 922593312, 870508102, 295177668, 871995365, 945281750, 819341940, 739946801, 12044988, 154891550, 478628932, 972747958, 904619787, 377180378, 731784350, 399165286, 818350623, 864683908, 829864725, 859057886, 870464298, 550186631, 806230328, 156856889, 902361490, 150111030, 427978050, 635787880, 202050879, 942161080, 109182608, 896550699, 225527937, 1389135, 745689842, 86486564, 864162564, 5496036, 777358075, 770648663, 79851200, 949768534, 180911475, 432703028, 450220864, 512693889, 78978195, 536102254, 846388768, 709182546, 684179252, 588229545, 465688588, 62689190, 231436507, 444025359, 446536019, 498654777, 254235486, 757735073, 3308698, 204293927, 166774429, 206945668, 669447860, 587798803, 968552651, 702979778, 509986268, 421595208, 658693753, 311193363, 667210544, 522571593, 622115838, 276192827, 342369481, 249829775, 310669449, 143289847, 192370577, 276004383, 46471923, 517907769, 38643304, 859472548, 63585522, 426083874, 59218909, 808048523, 857310500, 634284520, 914991031, 768015314, 338364133, 56784469, 549295962, 905736217, 850548589, 436109554, 602310229, 280527687, 581026012, 250260519, 94920251, 687195072, 715605344, 812827227, 121047329, 820041695, 944980421, 761843831, 669681665, 893838821, 636433333, 658601084, 775978999, 693736, 828142745, 793907544, 443095282, 667829409, 966972183, 107051237, 835205102, 174982423, 976935799, 166285456, 616988179, 384074994, 798097663, 115797299, 109600134, 678026262, 164419564, 900720457, 890698898, 246533756, 744699434, 976145004, 859338715, 380534428, 239842175, 327532138, 560228431, 835422064, 86109188, 436136807, 562260015, 714422856, 652486483, 491382413, 248558592, 47127165, 420724437, 835853533, 700496733, 198441067, 847132235, 808758721, 969536979, 842604953, 19246681, 756169129, 87299869, 113484450, 213818009, 653256432, 460648611, 486615476, 786937206, 825708047, 144959874, 483005513, 315277484, 458118120, 987810880, 440448650, 450597398, 56606046, 622491683, 9315294, 402591289, 57507108, 540247114, 973140542, 901497821, 117059023, 923403284, 254770802, 337402255, 630798921, 44869992, 503635697, 653696614, 97691172, 692823490, 671486158, 215593409, 128049096, 51064024, 151859051, 989625046, 534568785, 511865523, 804590410, 152789747, 578002812, 400643391, 746641972, 373386205, 447966762, 216855307, 747531637, 629084795, 928318330, 386974745, 680022877, 721786378, 920395528, 597250466, 586201335, 188508906, 893020783, 208741505, 789442410, 138210386, 182816013, 839489682, 818535254, 27724923, 271657370, 52380605, 756435266, 259760562, 173264985, 578466608, 211415241, 277351160, 994433619, 605014110, 109737936, 951816885, 151872984, 437301871, 657772697, 701015346, 246627780, 639946642, 941448178, 562440403, 512597988, 641431519, 736319869, 95465603, 652165150, 324041869, 624372657, 959333724, 518346217, 757774499, 133957495, 25561867, 624193394, 595748537, 485385180, 133084757, 520071223, 4078826, 386659126, 496469866, 410370106, 515826958, 15107574, 928205991, 210199455, 872281929, 175547467, 599313571, 198410993, 524338695, 47629775, 323066904, 154106020, 89360205, 573686797, 115368814, 744836769, 407702832, 263786877, 503687133, 423034065, 814447664, 407373376, 89879452, 496409771, 635738873, 971649889, 278605005, 394342115, 247223851, 480025538, 332259578, 870606627, 853005124, 564178469, 76818035, 522787291, 363424451, 812925302, 941133394, 334980263, 288203814, 635000445, 718067192, 804859112, 506098587, 337624030, 855847919, 743511920, 766591741, 645185534, 666495062, 221502231, 956728792, 725035143, 734771055, 794004193, 54537202, 685441472, 312704634, 885657144, 394300099, 62867819, 185463588, 758479248, 811173547, 443026100, 934869180, 836211246, 329303403, 543539182, 804216019, 764975672, 867375998, 447868317, 510966542, 183996175, 770858499, 972270739, 38602002, 80079651, 631160166, 872300994, 281068346, 240997335, 558428456, 635393236, 314092356, 542158996, 361794680, 842118593, 969462755, 248845624, 97040434, 191026469, 506195424, 681539665, 471462363, 407031392, 394239462, 216587559, 499172272, 332717233, 528497883, 28397583, 127451318, 537488132, 233106459, 558910329, 568846298, 980238965, 663990665, 991044814, 469848397, 126594089, 752774484, 246840169, 363050684, 343002256, 489655997, 831774883, 4605452, 461419582, 657440698, 778869258, 862580707, 704169785, 237590485, 280719657, 917848606, 399201251, 768310924, 249798911, 360027216, 58620968, 283331155, 113392644, 33209187, 388100300, 956342490, 176128181, 646260884, 819012799, 425679597, 555714305, 159394301, 126727581, 615741944, 320363259, 285920844, 389710134, 716652518, 991139425, 94780009, 795769534, 329150150, 441979373, 310264309, 153137156, 440310659, 553597873, 246448927, 475695860, 862712468, 472822574, 942394929, 406325217, 233899864, 600655502, 546895948, 91896043, 298293314, 279708236, 599795103, 657181092, 868248663, 344244185, 635095366, 900328988, 957509567, 689693786, 89137671, 688078491, 477664330, 93445246, 352223023, 285209396, 266489448, 663740026, 290760952, 75807891, 342104663, 300477385, 611318327, 879011528, 348294053, 106086231, 196436721, 42553867, 674326498, 918025986, 382097348, 914538075, 820088277, 315177560, 650795975, 596956149, 785016165, 22574245, 609766522, 249342345, 964856558, 255079135, 785320619, 145692231, 858090755, 212951446, 968821233, 975005936, 618307056, 554840295, 740845099, 605303152, 494750071, 706309797, 652583336, 292329740, 816031908, 155579626, 268639277, 609245446, 219889746, 465165351, 631815232, 131531526, 13062478, 701402590, 353034034, 708865671, 982572526, 342768651, 217796881, 139746151, 711073949, 472232627, 34719165, 657057018, 300804329, 52433178, 432447337, 513173551, 128419472, 201276156, 164603585, 626836740, 253252588, 71654233, 297537668, 512351823, 253067471, 93486612, 220517698, 533772073, 582928145, 838113231, 733856907, 132050272, 462980761, 89920112, 660850401, 654018630, 731325839, 50814153, 218810352, 869687628, 880218715, 568822158, 288206695, 623106814, 198425640, 259896039, 444148507, 220412651, 268566089, 381656228, 23542994, 80244718, 257392574, 175154459, 652689485, 352631251, 370828596, 329552457, 133958828, 365912312, 727582147, 666037923, 776103972, 929325084, 198793300, 943852189, 302232495, 183812047, 936180550, 969000266, 766663961, 960600688, 918582507, 999670056, 474277182, 461748444, 65009359, 677365030, 614150512, 222438345, 288914363, 592560582, 423273195, 159464902, 137919624, 320902459, 631475294, 16946477, 107593784, 214540730, 244393720, 349479952, 987091129, 305316328, 977991030, 498549103, 693936549, 331120182, 258373419, 742637117, 698882706, 147205499, 85413634, 943554505, 767016789, 428963028, 919921355, 926169821, 289139767, 976246311, 638471844, 726514588, 185575664, 976506294, 930935783, 7899030, 858614604, 326844489, 474869443, 909620800, 116140043, 979361369, 177465659, 661377982, 598710411, 127139069, 191418322, 380466962, 653272896, 287567, 354652750, 912145420, 705625688, 374660379, 231343714, 97771001, 891876637, 53540505, 791667094, 995482807, 727637761, 547983572, 687092037, 69708130, 294217809, 527532069, 721068029, 551453732, 681760971, 334068170, 789247970, 426438702, 724012901, 249139531, 535951019, 332756504, 966797289, 860662712, 278702911, 326782086, 895619691, 920798038, 766140628, 576588310, 147296278, 668850596, 439382457, 429270355, 351998820, 524971900, 783004434, 387712173, 54031826, 870318582, 856012804, 817396913, 810177487, 207892957, 905753750, 27885911, 325103519, 452119173, 625567570, 212572397, 942205709, 336507021, 558807126, 968498395, 985132655, 245327149, 49752084, 211900974, 604855819, 925583760, 986598087, 70632960, 761113431, 530594780, 305809806, 393660218, 200868866, 433560330, 997359107, 398706127, 825555234, 946863011, 506217884, 334725323, 51045542, 920916934, 594106530, 487871743, 891651139, 110176725, 703652962, 117816983, 106505360, 192616634, 55941559, 617941944, 805930388, 860552337, 379574871, 629395935, 469476311, 808933250, 582355342, 430107227, 435443400, 342970580, 848085481, 385172863, 83448568, 652475389, 526083523, 527130743, 97221104, 36167930, 288003986, 830630121, 908895299, 359910037, 721699672, 958988655, 507214951, 340135063, 333733639, 13674951, 138530490, 504238845, 853597669, 161475782, 580665957, 178508105, 166111720, 555115016, 991760302, 197485259, 958992996, 15071677, 864308161, 806582627, 885848752, 789825399, 281935088, 892310960, 850547536, 98481415, 864729687, 273563786, 501402503, 344154933, 371795490, 463630762, 320674404, 11605312, 687678118, 934722196, 269842525, 364241091, 315653646, 171093501, 116825016, 183062633, 489071224, 111624964, 145418424, 76991024, 87698922, 681416157, 139233010, 667310734, 119779365, 932494558, 66147144, 122135069, 467002453, 722638346, 60268554, 589256691, 648832531, 734269159, 882220814, 571233622, 336704681, 190599105, 436244589, 875907342, 789462854, 393904393, 407069785, 31089499, 448813227, 629879357, 67443796, 145861820, 197807204, 657770049, 411923142, 705851411, 235274928, 967830490, 461363596, 443579187, 566376270, 304414, 862248824, 349509086, 278475478, 635642462, 237584288, 897702621, 893664663, 318171311, 262992297, 142347879, 841650248, 136917324, 358280765, 193390502, 140045350, 651227451, 215213895, 897345550, 635899844, 797985757, 192931770, 154401131, 725433345, 769010047, 714105431, 652404413, 412773010, 456397176, 659475790, 299563795, 614472636, 600074790, 235998625, 931589204, 890163044, 139305752, 854292755, 783643341, 96761775, 656652556, 20269319, 597959250, 781095220, 488335754, 25384289, 204738305, 330416051, 937952425, 378552079, 291837768, 684930158, 14292337, 774441313, 611889643, 741677935, 300904028, 205082077, 498876817, 46089641, 909831286, 323949211, 824866843, 391993628, 575000635, 128568245, 526646865, 406300608, 345148979, 175895067, 627665111, 652871345, 692092032, 677330810, 519371210, 543410910, 366080754, 737187250, 397416980, 768852204, 987061801, 676183914, 379982656, 684601580, 811927041, 802592418, 226626562, 972281546, 808144621, 158223357, 358913911, 388441209, 265855738, 534857947, 71389615, 103563839, 895063949, 746667408, 56927546, 550920539, 785598733, 525132464, 892093376, 908206382, 585287656, 157284192, 24407730, 919188293, 577685415, 67780334, 320443842, 309094982, 754227585, 610293052, 738040831, 735632300, 74161859, 637987813, 574366903, 73270901, 500225322, 37986315, 280581782, 788866758, 721731761, 928927961, 159385996, 406039767, 10269003, 388473429, 321262537, 322101785, 4454131, 22478206, 184223057, 168137925, 147693657, 809017438, 801431587, 701682566, 258792508, 656559852, 985334602, 990809436, 311274748, 308399634, 221681015, 550316610, 184623302, 300892135, 9156375, 426367270, 800641282, 351118770, 222110769, 284776345, 49516993, 837633972, 64611873, 588156718, 668443287, 858197351, 777464681, 426267762, 561354310, 688175593, 565505951, 279429625, 106183627, 276852201, 311951390, 624204001, 112472391, 503958006, 390597914, 377471304, 593586712, 757513889, 779390823, 891189507, 798915371, 508053736, 754573014, 808056502, 229942823, 463296574, 587119901, 197470912, 828879754, 727876786, 350586107, 653181222, 772746795, 320171518, 500923081, 245425157, 447068054, 46252616, 297556685, 284867168, 632569906, 551055123, 617070632, 851735271, 584875245, 941473359, 92457493, 419046933, 716985430, 486071397, 169289939, 316572219, 776539700, 207386897, 588027400, 904565878, 755780876, 796074629, 359992320, 192597500, 976686470, 517789524, 949350410, 357708322, 667423706, 402310034, 152801561, 250749506, 524999951, 122639864, 568007236, 964185058, 206706624, 642410358, 272227710, 577265040, 466729325, 830979122, 823567773, 642286475, 282027237, 236467373, 856165086, 835380102, 496387654, 214254360, 347384772, 893096173, 891014026, 604944140, 196083220, 105676788, 638228703, 540527190, 286965229, 883210063, 357988770, 713614905, 2415257, 882829514, 565608495, 394942872, 165977547, 135077290, 116979442, 458679475, 238495905, 150470735, 253963263, 218221515, 792276584, 29151071, 58585203, 929358967, 37910278, 380784330, 930003338, 451465363, 620841717, 669185416, 139853995, 456998220, 892342453, 847146100, 489536906, 643326749, 377595067, 718977239, 497382465, 896532284, 521571148, 16602370, 398812482, 746514321, 414042438, 341521608, 288987276, 705099078, 679975330, 525056116, 481073871, 241397964, 51056266, 863844404, 672199294, 542337208, 349722977, 670149923, 155617117, 93932276, 978200644, 909605408, 949524, 236845855, 881442384, 373821431, 238050740, 836801837, 855088726, 285742946, 231590600, 441957455, 402402291, 969433560, 854266729, 870087258, 164095154, 295513901, 416008440, 165195909, 854077648, 667431042, 914884595, 465830385, 306148058, 231186323, 617587540, 581490937, 422637192, 248249036, 438171634, 72733819, 916923059, 107700046, 176542828, 585195119, 330353529, 770127666, 407383679, 570939418, 244728604, 338014930, 916190883, 127657387, 71614756, 473988455, 218481192, 409776282, 526748624, 497383607, 323352893, 530918187, 620389662, 9537962, 423750522, 652080908, 491551459, 517358132, 458631573, 89806489, 24385933, 629493568, 789712206, 151670169, 541501250, 789025020, 671085286, 897889047, 684930145, 673314981, 602797516, 73449458, 193457294, 185897371, 789589234, 185622204, 236137593, 477722702, 855345928, 442489430, 992123228, 903212654, 777536059, 262506086, 88297112, 656852473, 259300817, 830380056, 651814246, 914288113, 157910472, 438177584, 423134229, 513684977, 996136822, 600695361, 984628366, 41943515, 944917173, 528175458, 620789411, 814963688, 517241114, 782189967, 159252370, 937461142, 446451027, 708943124, 283370569, 209880085, 975707674, 744799044, 774843026, 313493944, 658322991, 371347758, 559831878, 157873389, 76212297, 915488512, 209401681, 908025223, 674940310, 52017183, 436045571, 46505590, 985097990, 680580557, 53937397, 618160033, 135988050, 56049002, 208387808, 891759332, 810418977, 863839983, 523622609, 500481015, 576135350, 10686203, 397417576, 481061629, 307662951, 312257494, 412485832, 621056891, 166611899, 262210239, 612077120, 133164938, 777569592, 630958344, 362873899, 164976356, 975194448, 749756135, 331809667, 278159528, 261395577, 174450093, 634805739, 64617891, 415756338, 4033163, 296645456, 424023797, 606543189, 478874339, 932178832, 136167200, 117189166, 175040482, 275138410, 31240964, 210160888, 974210525, 50629182, 474006426, 836700293, 460268598, 740719631, 455562818, 241118244, 136760592, 302731236, 738895019, 879914491, 349647808, 636994844, 599936812, 603839800, 346492377, 255058321, 73426869, 692243806, 682641966, 610619140, 446996751, 226953813, 580434985, 578050365, 642595361, 295967921, 693526601, 725416747, 116820808, 967477909, 280134595, 676612089, 517671519, 886594447, 973282362, 42339583, 936627064, 351932549, 668065889, 457516096, 889707932, 379745708, 115949646, 606345711, 388388876, 929880595, 362797861, 292238510, 607623289, 999594967, 874919334, 144860211, 386599856, 1699482, 840456647, 631518436, 687906856, 315952961, 760886266, 924265028, 441000508, 785521306, 305348237, 804669723, 772022373, 346186082, 203723401, 62185566, 804519812, 205328884, 923972370, 677246876, 803806231, 684612587, 761287270, 61132722, 359167983, 462627054, 815230130, 220374470, 117201013, 610636630, 394208197, 162900354, 506015199, 509423294, 217609335, 598086442, 851937448, 934757772, 796171910, 928811611, 846218472, 141915387, 589103505, 649492027, 602417276, 560014173, 965219668, 302163396, 487808272, 907482829, 787556591, 556776248, 978234014, 670008374, 529147861, 839702292, 754792377, 941318093, 131369778, 412845893, 908694034, 51970414, 602383219, 676162990, 644000689, 273258960, 323426017, 474965518, 381190287, 281186382, 240045859, 960377245, 68926098, 463286963, 107785425, 480511115, 281811699, 630214041, 865975392, 274127532, 96302395, 345491867, 600984131, 490247554, 363535522, 955301509, 649414343, 993595317, 328949371, 126683430, 27733669, 849697016, 668655944, 687434558, 721856075, 970429213, 274602014, 37941595, 92715425, 939775532, 235816672, 538449238, 487884414, 897708869, 220744621, 465977582, 390223989, 303867819, 557870569, 460155638, 906426832, 233231481, 631578455, 172033823, 397181613, 708489667, 624154057, 592717130, 743753275, 927559361, 46559424, 781029749, 621293546, 314523301, 364021933, 393832400, 232535495, 653981191, 743515017, 408512419, 812789950, 542131408, 669602774, 820508123, 411303526, 967821621, 573436353, 172407870, 556795710, 213671521, 669382439, 194987885, 495976913, 184501617, 763969279, 457516106, 851141699, 204667598, 640960415, 811094628, 374352816, 362928109, 809559039, 262674637, 321875492, 260531771, 914962737, 285690992, 459879912, 621934918, 385119381, 549830117, 95859292, 698460511, 202780296, 855989941, 902381118, 687007344, 682821441, 753952454, 433030274, 317830055, 715908362, 48732071, 796526682, 873943675, 706181622, 547361635, 820389503, 972727888, 564844188, 695398538, 273826648, 498457570, 310324366, 446701056, 982922131, 221899762, 568182924, 534335303, 400733422, 156843792, 670223029, 331574138, 481115886, 247452622, 55453661, 941563227, 727627211, 987212824, 705277452, 485962762, 738491202, 689938383, 82773730, 939375215, 830788976, 327499772, 104342946, 298409296, 416064314, 634395576, 878104321, 461452271, 469061094, 818111640, 498049425, 628020232, 799957654, 152493078, 925287039, 943681057, 194908240, 280982264, 853350962, 697193578, 437097163, 242188743, 456468022, 269987675, 423564240, 513854789, 727689198, 874387254, 24539819, 993601316, 932352756, 895100345, 876464800, 484200097, 622354267, 592742184, 462697102, 810512243, 541459545, 506154150, 791120556, 540491394, 565214336, 626701378, 375118197, 512031448, 438955807, 846326154, 938794283, 698135355, 931342836, 377032737, 339112292, 121252305, 44108835, 893722320, 13396583, 299528066, 579300010, 82255694, 612397499, 744706789, 956369312, 526920010, 208170799, 268890016, 978221661, 377157514, 191016943, 856523648, 855790498, 220342995, 456564892, 772439147, 813592500, 646476092, 15491034, 288743148, 673548325, 128225695, 124937329, 224736652, 855253658, 406295837, 503001797, 64341232, 199844385, 24735455, 473482603, 793357233, 547437412, 386133014, 67065209, 921557597, 25488678, 591053067, 20836806, 66860595, 778732217, 283014430, 163834046, 723423164, 973334764, 57513605, 477923463, 139531424, 330796118, 787039958, 20228544, 6985631, 438279912, 507608779, 308053256, 305763699, 967600782, 755669267, 822324539, 471476584, 831831905, 974648749, 991523837, 521092141, 30882130, 830014723, 281782048, 938982501, 408279789, 200422319, 341675477, 923195793, 788763010, 959748271, 943630278, 793818463, 31311048, 585869070, 329545744, 58284824, 380148932, 266892488, 421766414, 634991287, 776966072, 651605209, 248208428, 229612741, 671786951, 125084578, 532290406, 605551977, 129804760, 502058978, 922644095, 470407, 496351205, 628049112, 992581783, 537671028, 201747235, 691218163, 578430352, 911628151, 559274919, 847941020, 206145775, 41656465, 649503890, 843629834, 969978694, 433326934, 582062925, 463806228, 96451201, 865439889, 429395407, 899592530, 670809477, 114416573, 337308289, 349168879, 469402379, 898913332, 562836958, 946610587, 683378794, 553574917, 414203968, 805133006, 224569257, 136712074, 400636967, 576270155, 5344381, 104198047, 891983151, 51007234, 669603234, 907457848, 794477741, 224303538, 605753086, 585731704, 191577548, 186251870, 144574837, 246814917, 732912938, 497061552, 757918293, 658058121, 776047801, 473882865, 905965614, 18796417, 348212555, 42686486, 371970187, 141908636, 589459939, 781437982, 266678843, 842067654, 697074511, 935860800, 514849716, 846810992, 914473210, 451887945, 998238630, 109924734, 691095849, 472407506, 836115877, 615758817, 638388913, 909099757, 672593003, 904315729, 576553929, 96808214, 630695532, 237838587, 918670395, 820555471, 315336915, 549736799, 294626038, 917900469, 367382499, 496537949, 141825855, 765280396, 825802453, 986094170, 435781376, 706614652, 585075021, 188977555, 890805043, 940722746, 368449044, 181646535, 151581907, 968207178, 34015246, 170404396, 32446332, 69243485, 704925550, 828384700, 274617426, 916512673, 978986278, 415793016, 861562806, 135487096, 480153477, 993113813, 433472514, 945280237, 926859660, 632905962, 900459005, 977093823, 851853757, 826623315, 22001001, 796399941, 331667535, 450227314, 631347968, 641792584, 905994513, 643846830, 876934116, 363031276, 947113432, 710060026, 935607465, 522126001, 712255058, 940212107, 366562826, 182996922, 170275342, 154878327, 765436522, 366731965, 253854004, 301980160, 796343563, 715845727, 941103185, 800891133, 783171966, 522019036, 747063004, 601250875, 911193769, 562202160, 468467012, 564232967, 68124835, 422127491, 485225648, 855283433, 276572321, 501415457, 992395225, 328698124, 926227273, 106341374, 351704308, 722228780, 278384473, 914460965, 19023395, 115018861, 82368655, 841267305, 14037648, 62992766, 921676638, 393059044, 606987157, 609817997, 1583504, 856393709, 136308473, 635969522, 464713096, 180518477, 166603379, 939290322, 692144922, 183916469, 901759790, 904065859, 229288030, 41005128, 185832591, 735739475, 960659505, 330954967, 892557588, 314373365, 811921889, 839984868, 88985159, 667246963, 682830338, 923618163, 206990570, 105610067, 304273574, 906828488, 915804743, 197609782, 384082648, 547050412, 762668844, 150217486, 997085028, 983455126, 847056495, 910163732, 485644031, 750692193, 296161443, 965300228, 445528678, 507085306, 523007323, 269038543, 28239427, 412090614, 847845288, 390672668, 58163751, 260862379, 13028972, 441745897, 212183930, 101720293, 82513313, 256526524, 908180411, 244299519, 862195814, 317086139, 11015140, 660704122, 682186282, 313943155, 348042738, 793818179, 889111686, 202411186, 388877845, 864689946, 667703714, 363270490, 223666338, 373144406, 13763356, 713612531, 971516247, 957950300, 498765648, 659684233, 697638235, 136575037, 976322873, 33649936, 301710157, 642899776, 485470483, 585121657, 831067190, 910604999, 343531530, 240869511, 586366689, 519242158, 41712328, 265004350, 998805458, 419691613, 432417500, 663695849, 536751273, 955722068, 17978667, 561481452, 51281261, 626595938, 551621618, 696756282, 101513253, 532699155, 360533315, 467385310, 935824910, 282370173, 170923127, 893750926, 16270915, 62734620, 325702641, 963767826, 566963047, 431493823, 795823543, 108688544, 645056965, 676994545, 200328285, 769503249, 189488537, 55617085, 506292678, 773722534, 641560389, 432609475, 769778940, 253556555, 588146310, 684136538, 78124794, 183425707, 183511777, 906199417, 189279392, 427402138, 632149794, 173565810, 953626710, 189754459, 324233253, 158113224, 945676087, 859108298, 8946951, 100880408, 612412139, 476432352, 881745196, 951365388, 123472835, 565638008, 947572037, 968585181, 882780878, 90040014, 778579773, 164137269, 673926607, 703711966, 942631818, 501578155, 274585477, 560219349, 363437247, 3789861, 509813286, 90968478, 502448417, 71700231, 121024400, 397727666, 30262975, 245025931, 21524531, 859439691, 432745084, 523385617, 423639439, 999880629, 956764113, 338718367, 453073080, 679589368, 734280427, 755980123, 654863818, 236365483, 773589820, 872894174, 784344977, 703154416, 248713614, 848313626, 782899390, 970734164, 494027309, 866695645, 273909687, 436042573, 706770029, 530226271, 982672952, 321796119, 187554338, 183097622, 897648124, 419484472, 110675630, 269950440, 261057644, 413520402, 274518237, 616438252, 941943897, 570798084, 408410814, 484656372, 242122967, 348091784, 286183382, 521462947, 173735224, 595106191, 950003997, 129342147, 299068448, 364422219, 514193088, 15701787, 819871850, 361034880, 323440427, 661129888, 51457852, 6087163, 532710995, 671111438, 305997058, 385409939, 64711600, 763399581, 566324045, 777456631, 586548880, 89591274, 714631738, 311431678, 353478258, 72049903, 662330948, 999933483, 136498104, 678763605, 445570509, 917459013, 292508552, 219161926, 481408827, 716415224, 935269007, 100417798, 767799942, 473015403, 854549668, 206508837, 368244973, 362905078, 837216484, 694008919, 407415965, 716431104, 65947961, 57025631, 733339194, 914430847, 334515284, 231720669, 352880787, 668798278, 183680492, 855511051, 532177371, 281084894, 431119066, 615405291, 878312881, 233479684, 244469059, 823956809, 897858567, 957255251, 536638444, 275565917, 241936775, 410396607, 388194722, 672131613, 558760843, 883957452, 404180216, 710267018, 545536032, 25174411, 849873347, 593780860, 240713189, 160024224, 302867295, 463400948, 558088844, 321555345, 47916230, 825119524, 436955918, 943774082, 92823595, 345943124, 842593213, 884662371, 741747402, 230323542, 875079028, 87983554, 68888792, 547097374, 627883738, 275945139, 830353940, 559648795, 567479938, 219665348, 744925210, 1163997, 534092314, 442506950, 420619766, 710563332, 505809331, 426730663, 935036050, 64941741, 697804818, 606660355, 685987419, 719714660, 610617127, 878759734, 24972854, 191580518, 998975053, 121303272, 275914368, 127720450, 653094330, 875749998, 299828168, 232659630, 44914060, 93263882, 801862212, 737475492, 74385252, 156920367, 681766353, 340913296, 699008683, 734623133, 415844565, 944495967, 672920866, 766891511, 767594762, 574319952, 226540889, 523424404, 981407949, 529184836, 462730063, 34328460, 363385295, 187695724, 132189977, 66603120, 592723454, 992694973, 509538324, 330671153, 344255798, 535581700, 709312207, 973492318, 838250325, 388718532, 632402871, 432577368, 49946823, 435770116, 106288852, 981315996, 22632722, 210110134, 660659803, 560209583, 930422039, 945303113, 140798752, 944916888, 693730187, 60990064, 105893799, 39022610, 548052896, 378923552, 223214203, 847393047, 577108062, 507518546, 963144246, 890793353, 197234647, 702154090, 101209457, 710868315, 935249167, 30573853, 286223791, 562385943, 82702114, 550084825, 521653672, 423348505, 980479586, 433458885, 652521797, 815835203, 857896213, 150277480, 732682719, 456899269, 851975779, 320351423, 491250521, 970235745, 480322230, 418889988, 610773350, 294596588, 591365247, 373579525, 853979328, 4751977, 984754926, 765956895, 13100905, 316796957, 398885858, 841281036, 831903522, 192846690, 366580510, 368996525, 661424861, 34030728, 55540846, 499062437, 636816111, 332779647, 887540155, 686828846, 9443882, 35098624, 130965322, 407327428, 803573143, 755448642, 30836627, 805904208, 986554620, 327187473, 594883085, 923273408, 986286285, 298690846, 176015404, 950767596, 622600844, 66188996, 232323184, 538880094, 984766983, 54255148, 32481802, 327482959, 239928001, 440520915, 440336843, 320667910, 505234672, 782393333, 576889536, 313502095, 905666236, 441351914, 230380912, 357038327, 762126010, 473918298, 133006831, 73127677, 99123113, 724765120, 671941182, 410466277, 417349613, 361713204, 488413940, 758809788, 810409899, 185489272, 970734562, 313521540, 245315146, 737144408, 391108563, 907655659, 177381120, 418351101, 87953075, 206123025, 596535639, 250034171, 855681349, 467342866, 261630004, 859923581, 50024525, 826619881, 418391686, 345997591, 988420069, 105473816, 62589645, 558828775, 719647968, 629130337, 109201882, 421252253, 613028452, 630833549, 725873419, 632314721, 491876937, 876658597, 419461057, 386158705, 297446356, 503862103, 655852639, 965498146, 923976228, 754626573, 494682905, 898843954, 686406786, 167635410, 236423139, 729154638, 504691365, 960261551, 98418571, 193865033, 175624526, 432305250, 400704260, 625737985, 934029091, 835677162, 551568858, 753984660, 493505892, 874380909, 953453117, 569382676, 696936412, 160476772, 494818142, 487472152, 29630998, 135606328, 875400494, 278814602, 456461507, 382307401, 729304058, 966527349, 947833165, 136448477, 156557075, 196397538, 240873095, 689835897, 178863759, 783832795, 245103035, 93040579, 772538741, 213270407, 673934981, 639178540, 493592145, 468629718, 674559007, 464683924, 627690893, 217476312, 459627876, 814503673, 686199576, 857235082, 448043401, 181637154, 346293237, 994418657, 984137459, 726332281, 247761364, 978273323, 865494300, 917672842, 69941958, 216104441, 413889783, 971287737, 722209236, 181840039, 656552048, 853173528, 423345991, 986830923, 665935135, 127350482, 66302556, 680736473, 126276018, 269341437, 992270865, 736250190, 540563043, 682297769, 255937194, 989721217, 204671764, 612113371, 911281153, 511839224, 793694231, 305098171, 757813010, 697336108, 524098067, 364375814, 291599192, 807152784, 94366511, 737606082, 697949670, 194230622, 606687813, 633197229, 935110119, 613145859, 532048859, 883880876, 372409458, 60987564, 855753217, 744367968, 832419846, 59622005, 783899609, 497843877, 617880397, 403903540, 686487357, 50539587, 988004764, 161837810, 666440447, 242042563, 377899570, 886989760, 929870399, 624918243, 677842746, 132041497, 835639494, 251884449, 550169386, 708525526, 916465605, 832512317, 709345885, 284435651, 368154784, 974272608, 719607964, 925550781, 155856877, 651933758, 711448155, 242319241, 883315027, 468027123, 892563390, 92147669, 606274404, 911243333, 555120181, 32742985, 242550783, 346454172, 346929928, 603520579, 331058136, 501535527, 779324186, 626383133, 179010621, 817826033, 402716486, 554696923, 236619191, 278921870, 779452361, 109287852, 199186619, 175292215, 450642113, 548974564, 250969917, 547621510, 901715078, 796931585, 753582648, 85800934, 975418251, 495603444, 510539119, 727113784, 126730162, 83237648, 987541737, 483162227, 616224367, 772901236, 443208187, 122099225, 356927666, 820158698, 416385766, 311399582, 325140764, 319873117, 956114600, 963236767, 161450969, 762166755, 980969756, 767901876, 990992147, 835906733, 108206914, 22021430, 776903613, 266902868, 221865653, 588408267, 624554942, 179390801, 985718936, 753502992, 664748023, 761637338, 826111598, 594817127, 403430837, 577677656, 624416964, 60891121, 814554950, 961244461, 940541328, 564259884, 566398946, 401718792, 897735064, 610558018, 218836720, 632403250, 311870293, 133368587, 246533847, 360377244, 115474691, 330500694, 985718642, 625551480, 240441890, 947103770, 635043276, 870431806, 130367354, 343231803, 207495573, 557289394, 260759235, 852267286, 135704509, 81173508, 99182474, 195215613, 423000582, 920597624, 975992923, 510627398, 256030214, 94103446, 988985776, 555562116, 616015568, 731712387, 710454343, 156606440, 900409622, 976201911, 104361900, 448154852, 273186309, 579310826, 27340896, 764818310, 20488705, 462406228, 653865425, 818312834, 80304313, 233244692, 21607464, 769487868, 158340002, 229337847, 401439086, 91730997, 240263237, 498061283, 372913682, 374044781, 671972699, 186972594, 408306235, 562351472, 880112348, 990472377, 635471666, 215435701, 960775991, 537287261, 139584569, 390944107, 904406787, 800263495, 8895680, 726211712, 448016388, 333889584, 163873675, 532821617, 174630534, 27246886, 695021913, 845168212, 346178383, 68242307, 663420037, 921107521, 41171673, 225545349, 553665894, 261254410, 461651765, 208252577, 107042483, 171890929, 207178899, 820978157, 330089199, 126650900, 194430489, 645010638, 594603091, 269911620, 28737411, 588714785, 100859050, 95891332, 202081623, 124172794, 449603405, 650142299, 95517178, 428677520, 578919730, 961671094, 213167430, 265803020, 413202029, 520813965, 281752288, 453929719, 122159989, 86200106, 796653325, 851722865, 377553853, 391484004, 20008306, 969969417, 110308429, 923139882, 806496370, 771277337, 974903706, 291933904, 241540790, 32458624, 379823801, 659120265, 643483174, 4944852, 856557697, 688913176, 598173776, 225213861, 151642369, 560405324, 54229939, 546280962, 346679668, 767109581, 169776170, 774158258, 771855608, 638011520, 520315710, 189344266, 948473196, 744645731, 514863902, 330601213, 637852210, 786881263, 418079892, 827151055, 571921393, 305809390, 725003833, 520201266, 720612255, 783123652, 567761917, 164021820, 81385975, 161746849, 293708299, 769283586, 796429170, 816976036, 5775140, 772340937, 652540534, 846862983, 42214918, 637393928, 47248297, 232592911, 267807946, 957825646, 61884298, 143879444, 483077413, 758092892, 956409163, 732131826, 561911229, 191804120, 468129690, 631210514, 366105210, 694038551, 709834817, 579073049, 407785286, 66623727, 34748292, 740943089, 794526870, 272216422, 181816987, 22881532, 688436155, 732109206, 98658720, 596821099, 459132157, 26252120, 441137705, 995786848, 276107011, 531259757, 690849081, 974115399, 934777877, 549314407, 442933001, 225414833, 317631316, 733762705, 268381403, 204002038, 846854697, 846617504, 700203544, 476409282, 512376809, 106801653, 693060332, 72941097, 164755981, 429738206, 971634857, 507482922, 77645189, 67502369, 730622526, 343009639, 571131616, 751282675, 976940959, 442408054, 230669336, 405599190, 101990011, 14211332, 975361338, 800227319, 619322926, 629337768, 576154641, 379756193, 988421215, 600423429, 596245896, 797614550, 694261730, 170756951, 726273200, 318253823, 780533818, 195722794, 304571097, 364913842, 903552751, 496504950, 808491671, 171064584, 674762254, 483802750, 734781432, 477341953, 48722971, 150403874, 452453080, 90649533, 663693932, 611742088, 621308028, 638682783, 498249138, 474108965, 977205207, 620818352, 480364632, 948531396, 390571028, 255944515, 623233094, 895730522, 418795555, 682995262, 40614385, 564902989, 821905649, 593535728, 497992986, 43321427, 65820805, 508482539, 87867533, 213911864, 184563580, 678901277, 977065590, 52195263, 98627381, 393360374, 628942280, 483565843, 124014029, 813439648, 187216391, 593780444, 457361700, 417026274, 84032016, 136200345, 170188764, 819215367, 11405211, 43023771, 209571250, 666374202, 855368310, 501830264, 791797641, 929793257, 847863456, 527418602, 71652798, 275795919, 12906991, 425744300, 758937695, 517547214, 702125494, 101098000, 54239609, 700974229, 669000465, 379623891, 459892641, 171713287, 701206017, 220288099, 777292264, 798032875, 346255540, 998580297, 292581728, 64026849, 153594556, 292882853, 652176359, 199516444, 835097759, 832499449, 481162190, 191798076, 521044532, 389133556, 435857852, 559434344, 685561284, 485310456, 935266880, 832923285, 523797941, 39037806, 815616024, 566644230, 167388722, 842278767, 968864325, 571312815, 230093827, 846632390, 591388618, 943024626, 600097526, 860190183, 270717357, 669694798, 988735124, 17411299, 89549327, 641086538, 456092061, 185938594, 327979217, 747300113, 479058260, 156861079, 73498548, 168799861, 936735465, 668600779, 222869848, 371110147, 166177491, 286564470, 264271415, 181848610, 951352408, 11778067, 302930785, 16415030, 683508369, 880230391, 375448040, 798255156, 146881824, 572561362, 793864223, 908935987, 102646810, 321830427, 267451589, 425820278, 70201156, 71273411, 337185657, 687775170, 603688846, 981482665, 214820511, 800655184, 129605344, 334641698, 156827732, 459917784, 224740528, 883480206, 312806111, 974206597, 332048520, 554124460, 523932859, 440090940, 497261088, 918664683, 270895612, 662323432, 657977051, 685420783, 929898288, 389646222, 222571459, 9606225, 471934716, 640585022, 260462266, 696482184, 629685392, 516897915, 478415980, 318432000, 569126286, 785759850, 281466721, 175210464, 31364752, 432914270, 867378203, 31956005, 501172318, 673267130, 697435538, 556740518, 932946722, 747784347, 729673903, 348068857, 169499782, 858543127, 674467607, 12895210, 159089161, 938165269, 969128207, 539617457, 14302123, 571972171, 531392894, 586374304, 344091734, 642775616, 330811573, 719155021, 815539190, 536926546, 456497821, 526215840, 915974366, 355054243, 436545594, 177412570, 795279154, 268502538, 671439106, 73548829, 125782392, 33192447, 556673871, 192531078, 42143212, 68571599, 574106012, 679519299, 976821728, 662896500, 236065724, 795324456, 256074949, 200628516, 778489208, 42408071, 878986965, 259908662, 108843150, 536645878, 892223497, 25104686, 406834451, 265617859, 655863356, 716794280, 965757501, 181170224, 858691110, 468175542, 562280309, 871884475, 326715108, 960523710, 527094199, 116855448, 963744591, 553436399, 701553627, 201382253, 118200974, 672999069, 612346670, 839851767, 83807990, 751280796, 23563524, 276468484, 934576314, 549211305, 761825340, 481577684, 711279015, 623704507, 978747221, 404409076, 806992231, 403263818, 341560608, 150555650, 904236288, 255222196, 808047449, 806616617, 7087873, 349098502, 165009575, 346438575, 251045878, 249938882, 768019308, 864558315, 574583620, 203760415, 187395482, 635040581, 352142599, 594549664, 914875054, 385889012, 698971176, 943554370, 624545402, 891504344, 946245844, 398201465, 993760394, 737438895, 821166571, 916185790, 650637458, 357212947, 261416824, 177924386, 376975265, 732672085, 344253626, 462488288, 102506159, 519978852, 51779944, 868169466, 871074149, 47739261, 826891809, 124483958, 161501525, 75873342, 190160279, 890114857, 152745915, 291548222, 81080677, 293348550, 121695394, 199677510, 163376024, 261096402, 122946147, 745877817, 144868763, 616835385, 857604419, 146725968, 704056820, 236283912, 439193484, 530573764, 605202410, 766164997, 388431369, 391184358, 26954585, 751860024, 839986598, 709346940, 314170957, 399102667, 641254588, 333227153, 299556713, 364683851, 736525360, 501503364, 259758971, 177082955, 439268655, 279246628, 586075088, 759768908, 161071997, 58569629, 947751459, 968360091, 280740316, 701512203, 226658006, 184111309, 22143038, 172555180, 462707392, 334611976, 520757003, 458038454, 186799533, 772960764, 971511477, 319033556, 946836994, 517925862, 664248087, 605330462, 40400324, 456893554, 41584934, 532827382, 965830690, 985147965, 953082380, 821701106, 918302862, 542953426, 22790682, 587688554, 466655270, 235182448, 541618745, 70519441, 203286183, 91197828, 962825038, 424881366, 858694633, 566823087, 219327021, 242746558, 461415983, 424375546, 40310668, 83359557, 235816754, 225661982, 856527417, 912519612, 530231145, 487326699, 276586691, 755680897, 3857066, 680059035, 799373267, 549407311, 436985269, 27700951, 534444145, 65866987, 270695281, 937137158, 74948966, 377571673, 319808629, 467833625, 682083202, 622072621, 895053315, 476712301, 653853046, 284877966, 787753971, 300484984, 939546917, 527744102, 975247249, 759877165, 837950095, 927051395, 134008188, 74486376, 741814192, 503219867, 250031519, 537439711, 845462024, 288490416, 8676211, 993657065, 194962033, 265634743, 40774401, 16541725, 64869459, 815380446, 969674170, 852699538, 657990131, 778235215, 539225470, 999706375, 492205020, 522172330, 745369084, 707035099, 380100724, 610357854, 783189241, 350899960, 644682037, 452025361, 65583772, 430720463, 412512879, 833421022, 311828991, 996762520, 769408027, 460983706, 9877600, 6744655, 543037853, 623948880, 36087308, 39443160, 192052802, 666000834, 346414931, 539725506, 253887598, 568888953, 870503991, 670108679, 885638533, 788054968, 305416405, 451768046, 123305268, 164999777, 267386647, 601993671, 956971664, 924763918, 90590239, 784240385, 119280600, 601460970, 815223629, 765363625, 600099690, 808656561, 175547202, 596887170, 945485585, 250106484, 968815383, 849490710, 472183078, 331111867, 895090675, 653744342, 560165824, 191154381, 285384052, 154000277, 59234350, 196306371, 584412741, 865907751, 659324958, 278635861, 902395685, 896061746, 820152496, 735676511, 823590218, 783455284, 726963222, 264238832, 234642039, 553733166, 934003466, 996874021, 701089705, 64518123, 311906857, 966193976, 183027545, 123178790, 376584078, 566768296, 110559825, 113225090, 294744658, 552479347, 50430503, 505970450, 902943670, 569024286, 924716818, 926294184, 521536010, 753329880, 365433909, 573032704, 631040776, 920620340, 129803188, 316673594, 991931916, 298275228, 861571353, 908061327, 905927623, 660303795, 264357542, 627994033, 387320686, 644853917, 59716024, 358997283, 646399246, 906992587, 958804642, 438802342, 402960731, 333215374, 499112242, 703144273, 84272422, 64279765, 834911839, 65884340, 828838070, 169971490, 812045020, 450031527, 768257878, 879666513, 351759276, 993244164, 102044417, 747060416, 998157798, 379776890, 130786058, 673668674, 901861190, 19661974, 209966186, 959519713, 784405710, 514749493, 845228835, 813249156, 627963045, 803781032, 408988559, 244063654, 113017032, 349551196, 886102365, 794111053, 257951391, 178797380, 598688206, 879276586, 24751076, 297479872, 283270622, 334225042, 218845081, 253605645, 94299670, 254484595, 661047011, 393203519, 723926514, 508231472, 586246039, 412893418, 550176180, 546046282, 117252519, 542244402, 333429535, 298359336, 922399879, 95121038, 605628108, 437716142, 364320915, 649356341, 509263547, 908838012, 534123262, 586456912, 171487373, 327937119, 95443280, 108950052, 751263299, 204560740, 942985312, 720842742, 164618259, 268436560, 418323862, 138097014, 336923533, 523102144, 191583605, 610219873, 907022101, 832105517, 866041233, 53462664, 588285270, 884886305, 261788837, 487070391, 326166270, 679854079, 527711497, 705422764, 123087942, 628944978, 203751044, 220054470, 45154028, 184029547, 886890351, 870603640, 270508898, 747521893, 814920149, 699644954, 972356759, 429635179, 418242937, 323092032, 436040887, 283357846, 380304967, 16214890, 237552788, 388132406, 891897266, 54128994, 647660653, 843456082, 984419693, 100043178, 283893990, 33756145, 627711187, 267399634, 976676715, 691458827, 985264394, 324662512, 687530586, 949658183, 766189733, 694306043, 755447547, 248187956, 977574514, 523026187, 475540919, 426571973, 764213911, 385467764, 364244654, 240664322, 522213575, 912765460, 600905238, 152723868, 590595602, 734474005, 996163141, 746805230, 532573161, 489109845, 347127663, 598166782, 769902465, 198840919, 481068029, 234542067, 920387094, 864255459, 828274079, 442870841, 141858880, 603882557, 77558380, 836789423, 624316351, 488838321, 279205715, 820672542, 449804961, 420333953, 691432914, 35053409, 102941324, 119043311, 185083685, 819293739, 713697593, 455988577, 4876281, 892906703, 457239572, 315998819, 783011132, 160821517, 629171711, 698477467, 337687049, 605192005, 77382360, 703527730, 277297745, 359038982, 914104139, 658154920, 492081770, 484307255, 302796981, 148478604, 775169310, 667303975, 959313300, 917701187, 148562083, 210352090, 626217599, 945015883, 710543134, 939074431, 325523457, 577183555, 942560225, 75730080, 711523446, 635633438, 168105511, 296971077, 687848331, 687748475, 352037246, 500478179, 775367279, 132184556, 173786431, 759800814, 408107070, 81341598, 669657930, 906479453, 901376421, 552978852, 647117144, 566214490, 320069188, 807215899, 781786813, 333305064, 974376278, 531383147, 381730159, 312995539, 592831843, 10072067, 695328369, 252402332, 639597500, 255165229, 797715658, 860976404, 386654985, 541467068, 912052151, 582076002, 671600109, 156645909, 199947497, 889515222, 508593627, 946077164, 369159304, 175092532, 172696022, 732310443, 170150250, 315017783, 988034364, 157839988, 801945276, 471314692, 620907268, 702054206, 856046470, 771424946, 979309613, 964631592, 992054302, 548709587, 881764633, 863068128, 435882412, 1852416, 164315172, 491957896, 788044514, 397498534, 680762352, 998744468, 822436132, 384826046, 5620569, 34353125, 153710568, 273875542, 135854696, 138966699, 445243932, 770762567, 166956041, 383440391, 59318132, 100353506, 923414871, 107618212, 523517719, 129748702, 717413290, 943278873, 168609636, 462437596, 93981904, 879689929, 623522731, 332674062, 107675078, 503350170, 420408437, 893046047, 617748031, 944003971, 668201338, 423982176, 252739019, 662555634, 211361393, 122831564, 794467997, 214752295, 659709420, 960772852, 501467766, 327316822, 431438403, 965273976, 576217216, 658267775, 665204375, 916332754, 742581083, 927306345, 327174909, 860088976, 476965288, 193653543, 23309650, 573830297, 90073358, 108106868, 25377088, 235735456, 216826611, 435424617, 814991996, 179543498, 15435028, 339627225, 688392641, 912712244, 736306177, 223813763, 937230393, 26193197, 800435677, 867683901, 476586230, 538712972, 251539801, 938588868, 749278949, 791831595, 565931546, 109341789, 480122053, 29134873, 394584186, 1445730, 297599239, 481011379, 50707396, 257574066, 117677697, 701293097, 906643824, 363523421, 364693331, 585241267, 104847617, 971640559, 466530289, 348834459, 892915326, 959568463, 962484035, 704810871, 879791457, 92065218, 91197459, 611322879, 173906089, 590907422, 491780867, 657742467, 275766352, 714829459, 246021763, 861380600, 185273487, 627757424, 991169442, 896747186, 874989408, 940128179, 107130827, 529364463, 886339571, 323612597, 669351565, 244667631, 711147423, 888069489, 810386388, 444037122, 810529196, 543606489, 167594281, 451785312, 70000250, 739382085, 596913228, 423665291, 866716583, 720126987, 252224767, 142518073, 977550432, 555799186, 91058852, 760572969, 161357030, 891828770, 6655443, 617438839, 484235838, 269142134, 833874929, 356527967, 776231571, 529819431, 884326244, 312485764, 838344573, 687999567, 836696831, 313829265, 110326339, 974925648, 956255573, 606864754, 372043752, 616354889, 448435351, 775272927, 692964231, 43516237, 325250388, 224477996, 475063511, 831884709, 70743865, 541543006, 292358299, 535266294, 659948340, 664627898, 53142386, 739801719, 606460217, 961914158, 191332276, 387203008, 397750259, 111833269, 243962527, 267060047, 319306591, 61608294, 563840708, 172989520, 7242417, 807143916, 125643393, 329733974, 786095262, 242481676, 563003378, 429453132, 222062050, 606204872, 212313453, 258875124, 160531296, 914535210, 988984797, 94142069, 597477091, 611761601, 578340510, 699397635, 534275242, 54276460, 551769811, 127590179, 852779743, 89243852, 960069743, 211319213, 460559998, 801426476, 325283407, 655340436, 825558121, 801876872, 930874439, 113375210, 905649598, 939602777, 612403731, 871979248, 755677349, 686174232, 791205623, 143599087, 787647267, 80733356, 899007344, 691152908, 214509185, 43803905, 810455755, 501567843, 897430196, 702502492, 349459595, 361298264, 795559208, 479416249, 446186735, 114998754, 798770877, 858526750, 853310892, 78547174, 641895942, 718663621, 872265761, 186882876, 326071555, 384473149, 882649147, 269862764, 194661254, 12757321, 626628351, 196432143, 479915780, 520252438, 246026292, 685544659, 294032334, 541607500, 880068714, 509320717, 681134976, 968008730, 33223756, 299981609, 701975447, 541705987, 797641114, 298944689, 727233460, 825740998, 749508682, 509643038, 208136873, 237300739, 371232536, 582688389, 575099407, 50754795, 663731682, 455945420, 393675836, 103182220, 967249877, 144741488, 242423436, 535324498, 629630384, 775572129, 524024243, 852144918, 695825377, 774986085, 974591567, 756165631, 258025996, 728557475, 136682845, 177858719, 260070327, 879295966, 503164547, 321018696, 659941725, 939691702, 278337218, 144780641, 962952600, 401992382, 307922801, 997651806, 70399502, 777332975, 407915225, 102836027, 251508777, 448496919, 382121097, 857641836, 179210187, 598077591, 979421303, 636311752, 258492197, 676574743, 712759359, 507091924, 441376310, 125497789, 550221479, 641226386, 448843600, 712092621, 779041174, 88389270, 881279749, 667616233, 917141349, 510061687, 314036313, 16586647, 415096765, 618916212, 209668628, 175802687, 457052152, 267936141, 789441161, 548049068, 545407340, 366721025, 173931187, 827021172, 634024038, 17692917, 667908623, 932881476, 662595357, 977537435, 836086199, 174067021, 275937452, 811282001, 118350161, 5322931, 958641017, 529732382, 128236388, 745220834, 325690647, 55958690, 97203653, 752041532, 622217053, 629900069, 950751916, 733723303, 956513129, 7907868, 541438757, 799296966, 986944809, 633859812, 494304765, 16554912, 679897361, 83316573, 17866320, 375358794, 336122645, 344179367, 478404039, 177672946, 558771145, 559577, 194874303, 340443655, 784337535, 421609301, 635755654, 379194589, 564788253, 919090518, 978893303, 417393740, 70419061, 672502643, 341858533, 554021501, 992479350, 199925032, 927009488, 440503682, 548852319, 897823599, 185157257, 796752211, 410108291, 175314778, 227928428, 558091605, 231408686, 314834951, 215832948, 475339558, 202673651, 405405586, 970798565, 559823603, 145576384, 183694740, 137643450, 638857338, 444682747, 441925413, 849856713, 840483936, 772921804, 439097456, 673541786, 652081022, 278141875, 606795047, 618201514, 234463000, 743306438, 559558853, 449499604, 653682753, 981015357, 532038782, 401022134, 436293158, 711373005, 510549040, 278746421, 165598794, 404706834, 80300914, 666319320, 498938346, 839459094, 858091942, 375510425, 58819998, 453646864, 512266131, 745576673, 738582559, 501819774, 609815977, 269248967, 723257163, 345316929, 533190455, 879156363, 871275594, 286580132, 226389380, 618211375, 50444353, 37008864, 497196712, 431927953, 287007658, 944926923, 398002342, 427745904, 897880282, 413228618, 69843500, 567839008, 25644904, 103004312, 692678476, 524557032, 560078779, 379815034, 991039148, 52059168, 393851503, 632372225, 206461319, 482639593, 664459007, 130411793, 794030187, 568381968, 903836573, 932333026, 402480283, 994983515, 930359407, 953290276, 478586455, 732264931, 481179807, 978630828, 408059644, 214974704, 747156890, 251227236, 38112193, 875772566, 43515470, 171801081, 446328520, 808474317, 718866866, 953870522, 661848417, 352244885, 947207427, 951214004, 538418310, 877025821, 559721137, 7228886, 684355936, 554703179, 901703587, 858465562, 256617271, 423635916, 454654210, 612217753, 892325828, 20559458, 302611046, 967805483, 961960960, 201567358, 242614457, 633248399, 379094921, 868977326, 708422348, 947869623, 672604054, 6446828, 88179527, 805388645, 677329900, 15651987, 648852228, 473229600, 783528682, 781290557, 690864122, 213567855, 717488052, 103662961, 860370530, 538237342, 345883821, 946084249, 723653106, 529065226, 551129738, 312797108, 518805624, 270225998, 34871024, 764011692, 948868441, 527132448, 473590338, 788366745, 884189515, 470861997, 220783209, 691421209, 59297726, 590599480, 994456381, 491168179, 517597160, 102725064, 83887658, 419889115, 730365644, 939355348, 554712596, 338704774, 805775136, 208963416, 450831248, 176925848, 300172088, 123407976, 983391596, 451300119, 71853921, 518828896, 62581166, 128081308, 989590415, 824614220, 412680904, 61377677, 524654150, 975331274, 486554354, 216911344, 348726246, 186506810, 747667201, 410153134, 901629515, 325508620, 308367977, 517868643, 73118853, 241744146, 379501625, 683379902, 117047358, 956184967, 717179501, 698554976, 169791067, 550332291, 331181916, 107759440, 982980276, 263149790, 586637722, 44119416, 461532420, 419061755, 711202727, 185056643, 599737747, 158683327, 758769154, 305004553, 595050187, 654417844, 81745168, 52727236, 981432108, 894187381, 455900713, 239558999, 177024491, 972782403, 692129605, 413343028, 719188459, 672063039, 724958193, 562562640, 556841811, 793129625, 363407536, 234635191, 324192313, 509423090, 367103293, 917475156, 16455836, 129223589, 407005545, 535910401, 40448684, 935403525, 629899030, 361726731, 678614049, 864371951, 528031093, 377494023, 171770081, 205014221, 596125236, 604814963, 43595962, 628379630, 862301476, 801188185, 507499080, 287994922, 632303504, 722196062, 873160048, 669354230, 11647510, 825426713, 682270082, 309409546, 144278710, 724142323, 835264214, 32402806, 371829099, 337915296, 240303033, 210389152, 968003680, 754739543, 621731936, 456985803, 9317204, 87755611, 110863501, 636503295, 358003208, 826308307, 844101178, 418134666, 306514828, 768088082, 745381186, 486807537, 431999794, 487169055, 786509654, 513986228, 133981400, 526772372, 486204303, 302109835, 813305258, 401356178, 57300504, 204221663, 950247615, 103973026, 25009885, 148691899, 627004598, 397519712, 840122292, 591760747, 188869017, 165051914, 487977904, 202753296, 524582812, 29855096, 237424047, 15012675, 312309348, 171069733, 622196327, 444567184, 668742741, 372267088, 696017488, 732756648, 816076129, 153908772, 890981861, 907866277, 194504781, 11740086, 60274378, 904106198, 202131772, 175066337, 991388360, 584317066, 963179613, 398430259, 353092873, 541909489, 401147621, 347518268, 535681605, 662066595, 672934042, 768581862, 200944880, 330738237, 761962514, 922740785, 765710842, 283582997, 149652225, 511514663, 315986010, 602501717, 414461739, 322233480, 839211546, 902709117, 579969092, 959629362, 882900643, 96247250, 302690537, 146278538, 286869891, 31829485, 875397916, 348447783, 829790434, 127727527, 41213231, 798416246, 264968258, 902223912, 628801250, 858811373, 757739461, 285810012, 368205443, 539974414, 483391630, 281754463, 935601390, 541043992, 884330520, 133731753, 936152308, 822079165, 749982410, 465350972, 25453918, 400760525, 999461851, 218482853, 60120526, 347296180, 295141487, 299465626, 385711015, 210669745, 2406984, 581461398, 316736126, 185508777, 785946804, 44382874, 364153762, 119932291, 449531271, 950812167, 640221454, 154498907, 411199600, 125170517, 958399459, 38852681, 430498337, 159357346, 553272429, 190270430, 506372995, 322647766, 24493640, 864967126, 557140536, 735242101, 233206806, 562604940, 609917295, 767982524, 175131199, 204017970, 228656675, 5968437, 790676845, 907371286, 376778287, 22503101, 941845307, 724046408, 432318378, 902864102, 837498007, 181608220, 835583359, 330665622, 28135972, 203681453, 188635450, 450526496, 975637366, 795804730, 595055172, 54788111, 376449267, 608718002, 92100690, 474937331, 72663143, 486087457, 254965026, 90601139, 540827028, 942456318, 516309593, 796203920, 813463719, 949107317, 196189261, 754736756, 21704855, 467075695, 509723251, 48553248, 195898949, 393846852, 630074826, 457640585, 779059529, 286912159, 174034155, 626514365, 417483310, 620994945, 645738224, 934700234, 53161576, 756906045, 960164109, 350152456, 995389655, 148735919, 345018851, 892339102, 282752334, 20109577, 844674620, 508695186, 355785954, 817728608, 610887938, 273019979, 327299331, 486225843, 701034576, 117324744, 372504065, 784051834, 49237352, 559975004, 517642902, 662451758, 315568959, 375088931, 72862305, 617918049, 315003345, 961432878, 622346229, 322532032, 627716689, 944159676, 592476203, 105363703, 306813613, 146035413, 654687315, 553803987, 508951543, 93643531, 610790152, 533072128, 519374868, 564851180, 383209221, 387801705, 231135326, 239174494, 656868544, 618739913, 747048269, 137378469, 291642319, 578122856, 345644903, 215303674, 633574869, 627455956, 101615137, 951459439, 858693982, 149047132, 585831876, 560873857, 675480432, 307727646, 988865255, 823044506, 414528567, 117505124, 750005946, 43758862, 619597098, 596284793, 50922465, 5016994, 980230395, 257499346, 32752845, 575268590, 59610119, 858348210, 360778691, 315087567, 562374336, 940801329, 130494738, 391568964, 949938361, 60563185, 764092671, 301283620, 720388956, 922180542, 5258144, 879056921, 864766825, 595574996, 993643527, 398279558, 91422758, 839461445, 507638893, 137552906, 38755041, 970621522, 398205125, 963346512, 292727734, 553999911, 247007502, 205107784, 960423102, 878302529, 805647546, 861820533, 29267418, 52875423, 957082154, 625136026, 230570210, 993549439, 941894834, 391629385, 895675980, 907738630, 891279331, 32434058, 247120356, 342420306, 51555521, 11692720, 371674013, 499468091, 237603582, 117802813, 830740863, 361224987, 172866755, 240390964, 663787922, 983257894, 827053225, 487398720, 527138164, 432837246, 131674771, 288879602, 923139386, 28041449, 312561358, 156906511, 272233322, 496632542, 916557813, 8349736, 628027020, 691561357, 585798449, 801549714, 915072552, 11912336, 992790565, 865703833, 830466290, 303330678, 881549796, 663354181, 48136280, 189276270, 591708726, 160875661, 876328276, 121224716, 538139109, 205726075, 152531397, 181543049, 604279424, 764405271, 223953415, 933045311, 562468955, 491417175, 422564755, 735592695, 643523627, 444012677, 420818224, 595191168, 521966112, 764586243, 830044124, 826661557, 669660053, 379316438, 256963316, 649261511, 862369214, 457851475, 762160804, 271773378, 646445289, 690099114, 363543151, 750620967, 354424578, 959015548, 168198264, 231724811, 999744020, 860055474, 77484536, 255259854, 76634582, 542112930, 351483049, 646603152, 814819977, 913435179, 915633398, 824602273, 99803957, 554319045, 77731927, 602053829, 259660713, 160866581, 255203539, 397169253, 859240739, 743925202, 556686610, 579271172, 414291464, 789548271, 22903334, 32321354, 962704255, 366218841, 925026268, 422797733, 234295107, 962264354, 801213261, 64060182, 904123601, 287857393, 397688485, 950812461, 401975829, 813030457, 591481434, 30398683, 257786959, 414466754, 288894077, 475674607, 771923640, 28414914, 896576196, 371958462, 756184522, 389310446, 814912651, 486525117, 51254943, 271551672, 532571204, 778303114, 259629248, 839258362, 506814498, 80175775, 299354503, 248144371, 107897492, 307485281, 536151419, 992783967, 119536128, 618772961, 573735382, 68376771, 929009955, 190198078, 406664648, 120958616, 930411300, 12825062, 799929704, 98803792, 668210754, 281800740, 350543835, 936421194, 780171618, 336642298, 256184150, 657044450, 773136581, 965444327, 64462146, 781634791, 774658068, 456072767, 127274676, 724416560, 321422816, 610113746, 56306914, 620009733, 749358889, 254355898, 264518737, 640805670, 76008684, 456012169, 855039523, 442214833, 538520294, 156298306, 279565961, 967876927, 32674137, 529176814, 204029607, 975609975, 896954772, 818089070, 335820263, 702295037, 502900714, 265050843, 530310505, 664159700, 495208196, 133522091, 167128728, 951711767, 278564631, 71253052, 41028593, 956391277, 905302486, 929532217, 434574728, 91171336, 713326744, 371506685, 58076832, 325881827, 539146852, 631525415, 398082841, 769095414, 719769996, 809861637, 611054037, 57613323, 261245203, 540649686, 236733429, 513086343, 806717299, 840775644, 575476850, 601943811, 896680266, 99017412, 578641053, 829169515, 847015214, 55908740, 376583650, 980542689, 181390577, 859986197, 603750545, 820690187, 112672210, 59493889, 575559677, 518009530, 549255776, 474524751, 963692666, 711136996, 795026360, 457209894, 77326721, 369703366, 506061066, 815841084, 566363680, 865130317, 148079996, 124881135, 870399768, 401930936, 848114597, 732807637, 17927393, 257996806, 264398390, 511061802, 201163752, 371791751, 651054853, 77410948, 259732365, 978756730, 190138255, 193081586, 309095450, 662205784, 615528682, 531271872, 5483725, 476634902, 511194148, 268097839, 736144998, 164214560, 562677792, 744956597, 95504510, 856417102, 887353596, 720262100, 7101052, 931410837, 689192376, 873118600, 289035009, 572369519, 573196592, 502578508, 735678857, 180278090, 292857590, 460098863, 284382440, 252357516, 705435254, 162847964, 78993972, 77126617, 461958120, 519900658, 639592151, 277380959, 527664356, 37969883, 610384187, 413777241, 939805343, 180042752, 181122547, 998775649, 254741866, 676201257, 767889369, 705955164, 226095289, 90322618, 695258205, 644011525, 59712963, 113469249, 606590453, 501458370, 963041882, 271876898, 378416906, 921264282, 282573482, 827427078, 73439649, 701127856, 874855383, 590961220, 149075962, 108630392, 608641256, 980325616, 704314176, 425246883, 939090032, 168376682, 597197365, 178991549, 628886170, 343596401, 126337709, 7554571, 112589084, 359007918, 246062491, 862866068, 114089506, 35421084, 595876665, 924477932, 214871049, 255342658, 39999061, 814415810, 295511812, 265017874, 725436780, 427021105, 139580018, 483380461, 81139115, 549073676, 382012034, 921445713, 661407367, 902102304, 591976665, 362790181, 179734096, 121300279, 966108470, 841593118, 153523298, 976621106, 693716854, 276118911, 526954575, 347892488, 134651309, 20416077, 437878487, 785804111, 756146831, 124836582, 96705858, 494595338, 194702129, 775107815, 226316839, 215730521, 664039810, 861353363, 183041380, 912173215, 34879296, 892273486, 282400367, 517723204, 42605110, 276057963, 548542528, 374633107, 978742692, 195514101, 330197273, 573749270, 125368457, 396715888, 725550057, 736915551, 994267569, 483756828, 477596342, 479444396, 40486610, 292056139, 721502610, 517608918, 682820634, 471078031, 631036730, 840823854, 352702906, 59526453, 14545521, 302520091, 174521734, 452009463, 977065192, 743564918, 499026713, 460275772, 972286054, 603679568, 736793751, 489242143, 307450185, 955919945, 320139247, 908186758, 404584874, 522759903, 248479111, 793561280, 143893372, 594433061, 946316841, 253289561, 736846032, 442935635, 62058915, 498949640, 127907058, 697112436, 809093559, 497834387, 984408426, 600948562, 192023813, 202233679, 192921193, 406215458, 480617311, 455073941, 45605782, 780842075, 164715106, 841010608, 861443493, 316857479, 366216857, 809527122, 11470977, 730411431, 970280338, 266301363, 263241352, 873537252, 6077464, 983727980, 521156667, 231978387, 105692871, 706180450, 695777432, 189319175, 861750585, 16352268, 497474279, 258577967, 578037511, 710213063, 205769460, 334414012, 255845719, 918882547, 816769047, 709325505, 797952467, 533798067, 731811428, 255935108, 249723484, 793757932, 677682358, 358832579, 274966374, 94727662, 382865002, 69803861, 666826737, 54272767, 537198865, 233173019, 595428530, 592013288, 226278179, 581275474, 746732190, 781592446, 817827649, 368060376, 650567824, 847504534, 51738770, 94597894, 637981032, 694493056, 422959088, 460599721, 157215362, 672275103, 983928719, 943706205, 69591292, 952986554, 372214911, 911774341, 995092635, 117802691, 141725951, 891298644, 234637300, 926751332, 414698587, 843349266, 382262656, 866782419, 55889861, 517910798, 941426939, 203009710, 456957282, 251244144, 784114946, 247350462, 128720747, 679408113, 755255895, 644340526, 560691636, 89584655, 33871593, 973209354, 835296607, 642305236, 425250749, 954190097, 33952287, 471328863, 702950817, 107855375, 890293587, 639385460, 333957130, 771289246, 471681815, 533086663, 119987395, 683817348, 219217039, 748668964, 995212213, 208403339, 156855171, 576549959, 238744229, 920795341, 351159002, 813739772, 985078560, 438343227, 603562276, 934070811, 420400527, 774930695, 758798996, 851545351, 48928959, 997376116, 606403486, 256516825, 68850457, 354788115, 471515700, 426292710, 884616058, 119917684, 784698588, 301726768, 349335280, 398638442, 655375503, 903944328, 669734964, 250037089, 911777200, 639332410, 551410025, 791667505, 603998633, 78239619, 209128864, 655831219, 5043918, 304957607, 550534882, 576670288, 888484262, 799119897, 210937734, 160027237, 223239315, 508435028, 771802922, 401115999, 328444905, 437817055, 560049792, 461768353, 451492661, 379788286, 811216722, 670740185, 279005274, 80182467, 627159416, 859393261, 424865080, 652014790, 93659125, 149769258, 356105623, 548495026, 814155731, 760595503, 111058190, 110655435, 607424794, 460530526, 887888937, 120172909, 419419781, 135671669, 975010152, 168875433, 492806129, 377242073, 740309765, 804749648, 207632229, 389707995, 532845444, 277803518, 176432029, 49836901, 698787384, 747108481, 895496364, 304798001, 134586559, 274990157, 479681769, 632605384, 258587637, 973626290, 124429481, 893130965, 454248526, 284590651, 571581398, 824288374, 410763591, 828535513, 202505648, 727415352, 169719909, 227253972, 501754114, 987357642, 477823866, 468272496, 518544315, 410954317, 47537949, 533792240, 436697554, 818805982, 453136928, 598579543, 494105029, 600796109, 972457429, 293862581, 747560030, 888382886, 458566653, 258874668, 456627482, 375014693, 324096660, 633836940, 440434490, 868729782, 302243493, 139908389, 576203677, 647551244, 522393231, 895388027, 345256188, 23417286, 489928795, 817085884, 746545209, 654329433, 770638836, 808020201, 927038168, 215487305, 579717611, 607039030, 575417823, 227622358, 303900789, 769375927, 971496213, 289770230, 436033357, 518817680, 509825334, 651660491, 728373804, 666374795, 393888885, 872659877, 974071296, 691766445, 575175949, 429804200, 232455844, 801897623, 117256747, 842636587, 175690347, 557679644, 189052079, 552962276, 524062649, 97889546, 902449314, 301032276, 486948332, 90955054, 869183447, 788815559, 730854370, 400592285, 216540251, 709043204, 930072590, 156780989, 29576710, 230575816, 146602223, 364797828, 814884376, 797309327, 237629030, 293477716, 360775756, 63665792, 873142416, 389826062, 960679113, 256301651, 508840116, 708479237, 273061405, 771145108, 159355675, 499448954, 243573910, 607861145, 645973778, 231783828, 141515968, 776087307, 266841542, 300112388, 814061483, 813729892, 383286466, 769370420, 377014219, 260208484, 957069003, 766118946, 991633449, 680644149, 782789191, 652053257, 296783991, 234416091, 809458434, 711416567, 85425245, 483271535, 978388468, 714571462, 760554747, 805069905, 5606514, 89244345, 82346900, 637028448, 722314143, 982816547, 99803234, 44622874, 194500949, 928970600, 293292358, 550093273, 250007047, 928237002, 756671694, 534300462, 32646962, 838939734, 712556580, 613508750, 94874004, 487271893, 990167259, 102121266, 826956466, 472115392, 227764930, 59550664, 374949125, 141692069, 906150732, 36267737, 835630387, 285807370, 835300667, 827126375, 173469168, 307528119, 113234152, 800552292, 942300485, 56669459, 591643316, 531187705, 805442367, 844302203, 224892316, 349930384, 775314954, 454643684, 608521508, 778942650, 776476991, 938214193, 744290280, 604862014, 547109464, 898406584, 393518465, 995087164, 663268465, 262112309, 363754020, 477473771, 398464182, 720396620, 851560091, 271692803, 573013419, 470149433, 680655532, 104818721, 164364568, 573771236, 897132771, 748505643, 368798699, 377892031, 567130, 55859335, 692738346, 584314050, 876595508, 108783381, 387271084, 982932212, 892641066, 201987154, 397295112, 753755474, 305483726, 364343177, 545186164, 548266634, 976890532, 962690011, 118804492, 448126614, 944830570, 56547954, 337604248, 956231830, 660089070, 384869801, 477971664, 95318411, 164393552, 869821784, 925108665, 359903576, 4849009, 754045892, 227184540, 836495952, 805809058, 4679196, 464770701, 730079138, 895019447, 81199570, 244273753, 83659996, 840433872, 314829498, 169279104, 395576775, 989592780, 687782566, 520648062, 268744013, 46448012, 931745978, 90221225, 525028094, 774970259, 843835828, 693364703, 820224577, 596913921, 522466403, 439020277, 180925344, 626438788, 863946873, 84505559, 358539491, 267999778, 450362962, 237317920, 546261134, 645033897, 388325504, 34205937, 810267591, 798891251, 778468690, 715785097, 888035575, 914325868, 427653155, 780911249, 637458334, 293346522, 930873792, 679875871, 275977736, 629010489, 368049440, 495598221, 122370223, 358307834, 112971499, 643379955, 50679170, 116665544, 661946540, 50229316, 573484163, 415394339, 336993480, 365511242, 16035553, 718892172, 488897489, 109822658, 545258157, 147854984, 178387432, 930568030, 159055667, 253487834, 750616009, 757846358, 257208663, 934419161, 689767548, 483186660, 722185861, 585310325, 126315604, 2583880, 359631844, 186682051, 718202108, 980012495, 766486654, 387306634, 911209278, 735544321, 320820227, 208071328, 704275644, 398507040, 40411739, 263186021, 946349834, 330641455, 290916211, 689824446, 754870696, 341722598, 146037384, 546654725, 366997915, 502349425, 568407446, 284980915, 143880057, 934685262, 705491185, 141487753, 321186801, 266271454, 185181335, 857189647, 560755103, 127699290, 238950430, 952635620, 968198655, 302041780, 291592258, 64530486, 576218945, 449676918, 137280061, 657165710, 662865107, 637538543, 459906301, 759821104, 315543270, 587318215, 333820907, 713500128, 910901919, 449244971, 293674973, 705383583, 265175961, 36118566, 199134601, 422561856, 660621343, 718166710, 860952834, 868949805, 491702025, 621053336, 584301808, 315615171, 111695361, 344729624, 314257027, 141652065, 18646987, 912206868, 967684290, 297802971, 17181104, 68474486, 580122736, 5969378, 521906999, 677061894, 421987951, 903303563, 137235517, 165624820, 464948645, 166895181, 943939806, 834673676, 948286049, 17758899, 532942141, 312576708, 508548860, 991803699, 606036366, 862857769, 142758377, 646305224, 296620679, 9500210, 622921512, 758453611, 965289795, 834533157, 361979435, 542251335, 630634504, 890822267, 165983170, 583346324, 855938726, 733250840, 753983179, 488741817, 593290547, 825117013, 593738708, 517456207, 146427374, 728712280, 863558124, 352348641, 385656737, 551001005, 438611489, 922188678, 123121348, 282342986, 342538182, 215668537, 101223111, 945671168, 164490157, 737381402, 251465805, 624666322, 964714615, 362587115, 585722448, 789016579, 916401902, 184415571, 42043198, 400959678, 190056902, 515590997, 714641854, 863817663, 137922231, 644552466, 427273246, 75534268, 655846160, 622726664, 972001775, 226570986, 264525915, 787612814, 182478617, 438748550, 516735491, 879927395, 788557710, 804793328, 45798591, 267188480, 294993046, 708936586, 891149355, 780225822, 366454319, 645568883, 481469336, 742061754, 759101867, 353758339, 960252966, 52443770, 652418954, 461299219, 339018950, 498385635, 660473693, 375019357, 517510871, 577584317, 321504794, 821546748, 222442344, 322733018, 541437927, 997940056, 190125245, 994650878, 183480572, 252822170, 212988660, 659723836, 660076136, 563708746, 716546319, 560616528, 552352722, 293873851, 872432692, 859324936, 377847974, 931864878, 607892107, 176540761, 452427134, 51293411, 508209391, 98668425, 83779691, 317840737, 708736647, 982351450, 610395582, 917950956, 769592638, 485224719, 226449750, 227559115, 509630142, 961868940, 694963042, 720780348, 480890342, 630699963, 210700043, 428792767, 194280778, 562631381, 913921988, 173082321, 926120386, 29632022, 635579872, 52068516, 54965636, 182816115, 541031348, 525016971, 102128987, 148062078, 123179108, 473539399, 27869688, 855085227, 479247596, 734783130, 737145052, 210784858, 904167620, 412422412, 106903888, 345246844, 976783385, 900389199, 859028698, 961420601, 854734922, 859690130, 772586926, 69001700, 30639881, 653668664, 657206039, 44443131, 741944224, 921055394, 112715683, 834456051, 657287390, 1030658, 391822988, 505533534, 327761673, 989395665, 816649256, 296678881, 614965122, 455946144, 523614012, 449460252, 104496629, 348140360, 283946882, 736151536, 466554474, 368246523, 587883870, 136153616, 797453832, 319435921, 596073109, 989242815, 919164101, 775163847, 383667661, 381073960, 370477531, 287393946, 370492750, 559398844, 339245000, 858643741, 497028477, 64836380, 279140607, 47796429, 504027632, 990135795, 621238694, 850632490, 937715798, 838669212, 767588179, 95325395, 570296361, 811002509, 178258960, 259017281, 725171311, 422049758, 848676516, 514078262, 606801302, 595768936, 609926199, 615626472, 587892303, 456765476, 115902432, 843189920, 552435087, 13990796, 199540635, 92207234, 569923587, 132524807, 327829504, 356239049, 969722812, 626877747, 500975107, 816065654, 364273931, 546770134, 942002419, 330951136, 605083591, 657612912, 734665795, 204218708, 245721612, 287327962, 535510252, 530058540, 166694063, 735748306, 816830816, 524906400, 334980804, 550643022, 41789410, 702410642, 48230091, 954255156, 465149796, 167643298, 52438898, 190867379, 410780391, 731599185, 4090987, 560010343, 90027553, 743166011, 574749040, 34055007, 470931080, 622407903, 640747350, 993308285, 887609471, 599434895, 973691677, 394642226, 48590054, 865284653, 774751435, 440313776, 574652083, 108370211, 398026364, 724495658, 469573485, 799251033, 505507372, 156655341, 892118705, 57668409, 420791399, 131473314, 946664708, 240247861, 816019097, 353183837, 821950715, 288132308, 71470263, 947224665, 512004800, 209325625, 732840130, 897771831, 750002142, 800261464, 66155885, 218811119, 742841669, 957339326, 44007707, 996528305, 820915345, 737741325, 137834248, 733127788, 808904015, 442408401, 362150040, 278050636, 607110708, 339149538, 309745923, 348145844, 893260856, 986886650, 301631738, 460686593, 361080017, 449552964, 882513151, 455196565, 661645634, 756748966, 290731437, 514858960, 300104694, 323475811, 553196688, 584041730, 193205293, 965926351, 814857170, 699872286, 437647557, 402690916, 694086813, 107793168, 895173665, 433048522, 474078035, 973636183, 229390083, 492427246, 590684709, 483698619, 2940872, 959885270, 566203366, 330891852, 637761937, 883882686, 486972064, 81865364, 568491113, 925870821, 87567649, 454589664, 154114431, 73040788, 180454152, 927251905, 897183620, 834516102, 220089923, 766477533, 369094913, 548405457, 953417908, 506514986, 322681457, 290704619, 284344000, 616508682, 392277935, 125020264, 371732499, 386665706, 486053502, 513920805, 739873022, 949758922, 727035544, 103583570, 781045231, 153547052, 848798218, 672111278, 646637583, 71495993, 715327297, 994571871, 271547140, 469756028, 913229707, 966210041, 424682353, 678531305, 700147971, 757377165, 218249312, 44967346, 216718328, 616834613, 181268831, 694039728, 520468977, 78929261, 853274255, 768767094, 454187051, 986193840, 32884857, 980076344, 115443135, 487807666, 812450272, 565501521, 605597612, 751533555, 137399182, 244259858, 435047161, 10334748, 587368167, 92590756, 529758255, 140794966, 581810281, 86799375, 942139969, 913997089, 38282758, 598810991, 601484062, 456250421, 568408096, 67309113, 338233663, 855831951, 351425551, 217983886, 835249893, 668740987, 437989023, 503911336, 24796162, 885742192, 79565977, 332874901, 825458177, 843138969, 864621720, 249434941, 405504075, 641360433, 556431557, 143843593, 47154079, 777801356, 689022128, 963975553, 327329945, 200992624, 491024909, 727536872, 728000602, 61106224, 511853470, 881791636, 195433727, 393674581, 543638065, 493004211, 161704992, 127743858, 667176728, 524707177, 807156591, 235309762, 963136467, 988589347, 852876491, 701177983, 177596229, 117703927, 419263978, 746070350, 558270435, 536163174, 87589174, 981426978, 49455715, 986877700, 88223199, 83738671, 199659149, 106733555, 582417773, 594415209, 760784600, 103284846, 864235389, 207237794, 217923570, 821983783, 134546820, 353129739, 929882432, 690300989, 324719993, 328883082, 13746328, 471165318, 287086367, 513691746, 437530423, 587845894, 284308926, 966066322, 279064725, 491572914, 390063670, 532650211, 236612416, 245926934, 18340177, 877228155, 76934445, 494436288, 680976578, 12045170, 173397696, 599143851, 361072550, 100743272, 332276997, 955747935, 136017041, 300299861, 714948254, 263586685, 341215577, 957250478, 876913290, 432466953, 728975655, 267820788, 499963870, 134998110, 712361844, 199045113, 298604341, 730764857, 260533569, 119526652, 879167998, 916434306, 942193301, 558615004, 606366914, 366418056, 890078634, 713417995, 552822429, 655676002, 414804518, 37102261, 369111888, 474967573, 447660312, 214142129, 696735527, 814375121, 927811638, 354498746, 758779660, 639832378, 303915138, 495413469, 574847282, 167424056, 71214294, 500414700, 777006835, 243300839, 935847888, 145730481, 172734650, 39017296, 876666152, 746332723, 806658767, 896997163, 838460812, 103416099, 383415651, 893213433, 55047005, 532995547, 204287553, 277781145, 706176394, 773751978, 64899558, 949394114, 508809501, 854448001, 813963175, 922797266, 241783520, 235590469, 226800975, 52547638, 123917812, 579284143, 958690193, 88371153, 10417644, 891180239, 788320487, 890974927, 345617698, 59420416, 902090029, 846792897, 684971278, 922078133, 547383795, 445917752, 383384050, 38741254, 457076274, 331404732, 935438575, 708507382, 436637561, 483930891, 996695440, 843728261, 705667485, 335045334, 277682081, 283894858, 621651814, 90449228, 594675746, 934180408, 755819595, 573511866, 686671126, 260020919, 749034870, 46080191, 342769672, 313267974, 602768265, 536958821, 907927067, 931328295, 184142026, 338972824, 859754790, 437933188, 454211339, 343944979, 592958888, 519850967, 827699978, 258783432, 138189220, 896654221, 226745110, 751668198, 820266906, 512154911, 531086970, 694348865, 457217139, 415801097, 154851079, 271496429, 721467028, 4009457, 285929886, 26459165, 621466951, 361878799, 960729774, 570912474, 984679741, 656832130, 855256996, 268645139, 822596348, 797811791, 834906976, 22578204, 53869663, 929741575, 866605515, 298103852, 185531472, 519375508, 28853711, 918443336, 561466670, 67166864, 18280984, 279212417, 850917127, 701814014, 344982817, 381320196, 709213328, 329661992, 105559151, 671830958, 387113613, 437747026, 285524025, 839862668, 134624770, 337700827, 618648328, 718834909, 742766986, 826440392, 700345807, 360644947, 500509514, 82218480, 487670122, 646434478, 330708869, 482586566, 959210168, 319201610, 216214230, 989266089, 539759718, 73225226, 904608781, 866799379, 982850385, 134457606, 459327325, 989462680, 587659454, 975494678, 761459927, 187016454, 946111401, 888821243, 124123082, 333148722, 104195231, 319684656, 790507598, 792222779, 717337095, 506269311, 864851969, 240788519, 248653387, 308504051, 65070303, 541504558, 10030380, 476479826, 836841388, 576749791, 876593120, 775082017, 435743404, 347455387, 765316989, 662251847, 638101005, 732563578, 985339678, 289011452, 683567993, 346918044, 85472402, 304323264, 556148718, 261055790, 656122327, 62706042, 91778777, 89311981, 532971522, 350745306, 562950254, 957395778, 586990738, 274543776, 568769397, 939922962, 110094579, 484172321, 521629636, 523533664, 900927463, 612231754, 947982486, 631866042, 855837424, 781869579, 926943017, 430937806, 182545105, 390563727, 801778313, 94278497, 255079206, 645648150, 371267391, 401440945, 789881304, 904538395, 978648759, 990284689, 950426428, 785255009, 662086654, 356533504, 816800111, 749733249, 377640738, 583049345, 165559349, 512788269, 95181556, 555190553, 541981978, 764062927, 220477404, 830984271, 901802749, 812692925, 731530637, 219482532, 547309746, 869905491, 514100743, 545493654, 452629557, 817790865, 936076829, 491292902, 912749961, 407805157, 36386195, 634525154, 900165276, 289208890, 341986719, 839976105, 338336278, 297141907, 620442273, 350442992, 711428948, 421093578, 211296844, 993958731, 386197124, 229721091, 870541834, 332399425, 252391390, 397901505, 491570309, 141325682, 324660688, 427818217, 944224535, 290502497, 480229494, 682790976, 948717696, 970937663, 843713231, 343634305, 5289188, 680320070, 842424097, 680023642, 10553223, 480858303, 387690537, 406301966, 974946471, 474699655, 631179737, 443653760, 412774966, 942368672, 93078662, 408506990, 90303341, 823637012, 444094614, 376478343, 191211624, 766028162, 758443546, 633946261, 732763867, 914969982, 170254950, 875670581, 259407377, 197005524, 924732459, 331465040, 174585452, 850187929, 642583851, 190937653, 327617814, 351644234, 350665663, 18012520, 665629414, 157141786, 837570430, 320589151, 768447714, 654726747, 659985400, 969972419, 143478692, 387313909, 74102244, 250553629, 824714692, 94352337, 560146761, 125585848, 264731637, 712491885, 362919678, 639941958, 646865384, 702063458, 426980542, 275757228, 263347417, 111922005, 36370637, 70274384, 505487588, 184694926, 116826758, 81259008, 473865152, 258407673, 5239706, 847230732, 750640496, 163802180, 223292447, 139649048, 597209009, 305186999, 596195655, 877281499, 173670745, 386262522, 489809994, 169463312, 320209396, 548250984, 802833698, 779547182, 579746694, 656897970, 253046105, 797987449, 389632532, 753389466, 880779712, 318696169, 325021236, 773420027, 203058257, 18285210, 19901511, 390740257, 703324244, 287869108, 880281290, 220847063, 116761709, 676247381, 35267507, 412246804, 662230323, 853546490, 979663972, 959307920, 898348754, 210591657, 540311085, 300080766, 98414606, 33718052, 987350769, 64379484, 94802310, 44792219, 439206017, 803898137, 80201635, 327216841, 954220684, 361994331, 273451076, 398153703, 363469629, 935566376, 528525645, 300682946, 454776975, 874358242, 515452753, 547372499, 119880058, 743023054, 851929797, 241543307, 487342339, 599609882, 721813957, 743872900, 130909806, 196625989, 932199440, 973402166, 795950025, 398277281, 475101519, 220365916, 629779594, 502544780, 727353428, 571292659, 452911958, 723210497, 318772155, 793792894, 90698849, 904067235, 633700388, 229857094, 790302448, 51959922, 113667129, 366229834, 428985913, 587736299, 559694602, 129763549, 788423154, 134739344, 670897303, 402328038, 41038782, 895008532, 531630217, 788457079, 353247597, 855693687, 161664222, 588557248, 800105051, 763901120, 636603771, 492370667, 863953769, 335958112, 278297477, 723068632, 845380677, 995931973, 401432027, 86743051, 825539280, 532144523, 715947996, 880407972, 793180015, 186842235, 848652786, 584601132, 322690467, 897821662, 46844859, 870853527, 962934256, 491457563, 335664587, 978439816, 124712548, 460203135, 964682432, 69428616, 554256346, 663348144, 263224793, 970321471, 626841717, 585433770, 867858890, 22867142, 817135209, 668438505, 754678274, 178124003, 612963047, 699839953, 149343915, 2518386, 629752686, 142109997, 287071359, 732610742, 328078194, 87813798, 74292482, 648297702, 860151823, 578530718, 599386602, 210364557, 167760569, 192996258, 990574342, 267310927, 627839069, 192542214, 311783652, 970970736, 916418145, 974361422, 240867096, 705843110, 42918927, 260834697, 454697697, 355405484, 479460147, 479465952, 762583144, 313215430, 415599026, 29636153, 410040115, 454026692, 177740335, 385167316, 10701418, 860944331, 29594624, 849179549, 5234398, 140915240, 293235470, 752662454, 546863896, 300856168, 901638585, 680570223, 22436454, 180438563, 231338089, 945230831, 622349329, 272079581, 623943469, 192328261, 390626461, 242140403, 37537807, 483507012, 630631593, 176694346, 510422597, 91909954, 186974170, 167659547, 290908763, 710501960, 40668161, 393446215, 309267020, 478887059, 203148881, 442601084, 215339550, 698978993, 653260703, 566072046, 240084403, 110051077, 12800240, 4313193, 883806191, 648022827, 199239797, 703856470, 211180792, 831715398, 609687999, 579557894, 665258180, 209104273, 250260460, 406868379, 622512573, 848343546, 10994522, 203190025, 657919345, 80644087, 965552206, 220424094, 884065657, 106842894, 246052984, 287824943, 341755742, 748926733, 131683691, 559359465, 143657816, 727286521, 438985687, 685059618, 523712231, 54444965, 268061549, 669189596, 919948475, 10925329, 579635523, 666178541, 527492162, 828532198, 43945238, 756208569, 94941958, 237156632, 434187287, 183572812, 587996323, 222888155, 723877676, 206736677, 54940178, 986580153, 481470471, 774174917, 24999926, 762946222, 399281064, 149479316, 639259336, 111127657, 440673702, 624913127, 447901006, 444190377, 281796848, 826093934, 896304359, 367430493, 50131456, 611594935, 927991976, 435385715, 201497913, 351436582, 421448861, 487440495, 679839673, 393678096, 438704551, 381325508, 287169722, 237903995, 595222517, 310172320, 552771229, 330909376, 88650017, 172490692, 41399368, 439594118, 535301850, 356431300, 400705498, 873822525, 922210872, 759218545, 438576294, 888340185, 181079470, 460967033, 588974543, 133818731, 960904505, 166002680, 694292641, 73554581, 471365694, 587603773, 104766887, 329834426, 345651442, 121478764, 616859833, 358149204, 929207717, 848664033, 80379821, 698719520, 435980760, 241682195, 480644775, 99954636, 571424101, 189841044, 783806869, 780927512, 485914986, 871856020, 562602171, 727557040, 300823292, 128994397, 942660645, 696814648, 776446798, 394806849, 699966813, 870273618, 253405396, 61526336, 847171887, 317939955, 807189858, 326213245, 935265200, 136477125, 615984552, 558988609, 825904843, 996989454, 166345195, 338763009, 774860209, 470599328, 736143068, 456125161, 190721065, 642756197, 648538105, 769103356, 941656308, 775923173, 638351277, 41068850, 754832028, 489884274, 611748130, 422911874, 157604088, 760804465, 446420275, 629336200, 410630443, 5265606, 929240986, 72875215, 501287494, 415588899, 891179687, 821601673, 488123556, 890322956, 192782033, 986138890, 954064636, 637713465, 229730569, 643012900, 83715858, 934535652, 229679791, 231405231, 834837539, 650892426, 826041207, 480133028, 94085576, 630623008, 584342159, 281838339, 704775720, 427620282, 170858497, 391476850, 448879500, 582546058, 383978145, 968746288, 433654178, 716129917, 710758093, 58530496, 357952895, 708577626, 794201013, 293295188, 734214003, 6982465, 779040325, 406734072, 839745480, 76710636, 36719612, 736817796, 157971575, 753570076, 721525527, 938872220, 235491071, 311900255, 992637244, 571911982, 831519387, 703174812, 526163873, 460787023, 661670129, 63337743, 868632562, 877521026, 684096410, 955394432, 435616721, 438442308, 265485524, 312779316, 216382548, 847323780, 619004355, 728448408, 877960851, 687995767, 314530507, 744533234, 350580413, 568958864, 211959544, 506924665, 781093571, 825444681, 651590644, 155166099, 660855920, 945833256, 427493200, 931789237, 9990374, 927504813, 169759111, 653739003, 227274636, 589835541, 211097203, 800195886, 123370551, 206571626, 861813933, 458018878, 335361380, 942942077, 913315986, 222762739, 734169259, 404032353, 296161952, 453563930, 571301492, 277768389, 292913668, 852379827, 347178776, 992846086, 871177359, 282076557, 112018226, 784279879, 316897027, 364259228, 339200620, 645757912, 491593549, 454667804, 950191275, 524797093, 921106395, 578182586, 916698224, 505061888, 484948266, 159557474, 171812207, 778384706, 804760988, 94741258, 152653137, 35544750, 877025065, 588580548, 451725442, 789546873, 818574586, 88321255, 71441800, 404960023, 624030855, 847884267, 641623047, 742208344, 612975423, 364270633, 437080854, 487175359, 401274220, 612376426, 853995062, 797862558, 764201968, 27297369, 82215489, 100297733, 844447871, 360720329, 490222650, 505051968, 436602253, 317332571, 730757435, 106997514, 362527989, 623750056, 803900527, 995381898, 600104756, 121512467, 993724939, 102976123, 787292490, 148233709, 239475988, 671264854, 415489565, 605253474, 447857891, 2219245, 656880787, 742089881, 305152293, 931320391, 849585608, 916043366, 186969269, 874305529, 440293359, 890459180, 732586442, 430762872, 249858324, 133568971, 572187431, 649502665, 411459312, 993656390, 91453112, 196036183, 195021753, 999031859, 409583625, 476358163, 672179547, 175016017, 825731741, 607640606, 781859762, 259518930, 957912271, 635781340, 536115403, 737063649, 355202725, 552974103, 197846915, 408639680, 120653890, 614131033, 666669878, 246916045, 835700614, 331865146, 41452484, 97229661, 169412140, 632170769, 119358299, 577269592, 125163135, 368206421, 858515173, 455716278, 590917187, 518749759, 283957093, 123141767, 40546500, 304286877, 354266919, 513167071, 910515800, 218199673, 51812111, 797831708, 668681237, 507456199, 304157501, 672445030, 388903091, 876963024, 282505389, 17306740, 90601224, 553276131, 588707280, 796014994, 291358826, 124275162, 195583900, 792895389, 778778076, 856157008, 140180858, 712167216, 422467075, 29575986, 226478964, 707512522, 121071829, 324921564, 326022464, 410002625, 233893416, 984911980, 541364462, 408798011, 372542713, 198625437, 869472544, 574528281, 463549977, 196436049, 13053924, 862776254, 663683181, 551082289, 434136458, 340811886, 896518822, 505177015, 582653457, 54714846, 740133752, 572002112, 578033377, 959956795, 715140026, 797708350, 441501270, 937197653, 945043904, 105096007, 640128986, 618344780, 318934313, 712810752, 902923108, 932096298, 554269433, 865429996, 235005481, 776740271, 62876935, 876416443, 844435101, 246980822, 820773320, 4620981, 686414928, 673693099, 262449609, 513164825, 17788565, 159086684, 912339533, 331844657, 136453624, 972860832, 970171661, 711536695, 569394284, 639149926, 366089639, 704674177, 189206381, 695020019, 80283969, 718652073, 169592022, 136939901, 903509771, 944364138, 364220656, 517418405, 563484263, 415108693, 188173487, 654527894, 913405866, 341834987, 257760674, 485821812, 989932748, 374023615, 4641799, 469158805, 198445864, 616872619, 109805196, 85266588, 491323228, 631471846, 178143869, 328665617, 994070327, 363748716, 893046339, 653958976, 888271743, 162903301, 505628034, 23148659, 672970526, 914903164, 444624047, 754132264, 350271105, 336374455, 567935516, 56379500, 867165002, 982734861, 687442667, 128513546, 396125699, 419058188, 288209085, 552515526, 64488965, 56408182, 513964508, 441504167, 929609672, 460875866, 98412256, 72048688, 80146100, 486688281, 944996192, 548593993, 148450290, 762900984, 520596545, 847476239, 901228027, 361605943, 649795019, 44956546, 494938176, 727471104, 401438214, 12000439, 693479624, 618424712, 189414454, 316462351, 561281076, 445222715, 389718447, 563726196, 305990171, 666399949, 281473508, 257517755, 868143122, 76126897, 388884355, 565852030, 982815755, 697803217, 386020416, 482960902, 36003782, 177782706, 639360955, 343461607, 407237584, 744811379, 377510793, 971985250, 123845867, 628346871, 317870596, 15324772, 622652538, 767579850, 836703909, 274243607, 245257216, 346080411, 554386104, 173661955, 469167672, 672775979, 805022944, 738033083, 953606753, 420932286, 387642314, 312927301, 544727408, 677043093, 235066183, 765563299, 737959455, 323829187, 649197178, 466591243, 354684893, 769553783, 600169867, 126015878, 912578930, 908448537, 751443548, 64782758, 869749742, 945858965, 927700649, 195417241, 366765425, 218342135, 271039684, 988678915, 808789847, 521403260, 270890023, 45653107, 143862138, 2223705, 596645047, 704579293, 426645733, 748929343, 963907799, 333849739, 628385925, 871798299, 10802346, 389788457, 304733795, 85386247, 263954563, 543076917, 987186194, 499994550, 396429660, 327317655, 750758453, 122170907, 15579994, 663173401, 624726230, 441148491, 309302989, 999118031, 410370784, 908356982, 141303645, 618170149, 472317022, 241883167, 238371076, 664974564, 53394948, 678061832, 303351365, 868060461, 992565092, 990392471, 458046846, 502966270, 449705735, 116401463, 205136196, 87634324, 85746580, 262474018, 420448325, 186333339, 932982329, 189084422, 410594036, 995620004, 446982214, 671093834, 248201801, 709997569, 914882005, 173031135, 104211755, 968777932, 706525446, 914254777, 500037702, 945603186, 246160970, 426090379, 93810342, 873721661, 47608883, 350073684, 930391855, 20505484, 473521925, 741943777, 700577479, 545082122, 500067972, 809122877, 258519285, 277282432, 634388242, 688136919, 834570421, 324274899, 683315881, 529665461, 164396073, 872361966, 848847433, 117964072, 964087346, 6899392, 499559785, 217669223, 215925404, 208045659, 788310054, 259989686, 412815360, 357681939, 46173613, 543224374, 601563008, 481129250, 625777457, 412273193, 730681536, 129564105, 540955803, 391248158, 402025095, 870994251, 650941623, 163531677, 281581809, 290497373, 311039079, 835997147, 170688431, 707937918, 975415534, 609505352, 334976265, 659500722, 303188853, 980736628, 659075906, 533836218, 343177901, 98318384, 29366025, 247807382, 227862183, 894981439, 722697201, 862061563, 333672420, 255789005, 202304538, 716984184, 917089510, 970320277, 340191772, 9221698, 395303667, 238814321, 400895588, 153179670, 44852915, 300914801, 878528211, 751439950, 576239034, 255276143, 426038180, 90277775, 189104000, 772565113, 602143145, 870039125, 806241687, 204959118, 327833340, 316039021, 582681407, 69222034, 126184959, 726011407, 462559737, 749454813, 601329495, 849012599, 213151497, 339217013, 219432479, 452840227, 273729228, 215765975, 806934334, 165620550, 995282090, 211246093, 888354728, 6314430, 248618352, 366566245, 793337195, 52818036, 353684178, 256898721, 493666787, 962005155, 964203500, 424335749, 213384055, 842343703, 599819385, 843686374, 905293137, 438930397, 173981573, 816728314, 553505623, 609857487, 9373195, 678019312, 443295117, 972061987, 607068663, 632822529, 923355218, 101761235, 707947968, 319813941, 356328224, 758940588, 298577398, 42554416, 70977550, 206655519, 85060775, 698921138, 736883120, 300404492, 640758591, 935624221, 242395287, 509990769, 988352101, 467405319, 459580032, 869053075, 570534108, 784340416, 670684445, 539659082, 475511678, 509162982, 382617474, 720372936, 45237078, 655872761, 321353419, 856388953, 121261650, 281719366, 913421592, 445751827, 704589003, 704893128, 198001747, 854779597, 420549944, 558896949, 676240151, 759183957, 408359777, 493508520, 652275421, 560410837, 354750505, 349537617, 746395884, 405735943, 358007310, 809616048, 781039384, 371834993, 104198767, 276952338, 307088821, 643719698, 990618857, 13404953, 237596345, 618047007, 775319289, 492430457, 667772680, 51952437, 41940865, 613111346, 797733445, 824155293, 403664499, 870427361, 706160105, 437981903, 504964852, 793568105, 48220953, 655736424, 146570431, 37611569, 679866402, 537860034, 633952930, 209877715, 40122823, 553518087, 286909798, 360305566, 421094346, 694207326, 379985769, 573202393, 226161456, 315233143, 988108041, 548209397, 975066640, 741539074, 638668207, 770160410, 704087737, 341088682, 755534729, 351084881, 910818124, 989363984, 511395510, 772943715, 142603367, 376859575, 777928205, 275029436, 418653835, 449371080, 983764714, 839116801, 84977498, 477225707, 630693092, 687758641, 600086242, 749925715, 408908055, 859463460, 661466904, 756192716, 251661025, 455407480, 44603931, 469177257, 522875425, 131387051, 905989876, 98735798, 297200979, 138846101, 791910679, 635195396, 618467862, 659032500, 682024102, 655550778, 283108417, 903365827, 841128239, 348472609, 529208124, 322164728, 670395204, 553672228, 485415686, 309463065, 684138469, 304083844, 357908813, 440162540, 315642098, 840253232, 532892884, 220502344, 32129853, 347925003, 660605797, 225671013, 953747600, 48084179, 558482137, 809720028, 685628676, 639427498, 368961935, 272128877, 712878510, 914862654, 254974920, 90279966, 486249988, 324486576, 826839267, 384048111, 739076839, 268255474, 273089648, 509276447, 669143066, 644293557, 26528681, 979578124, 78928151, 938023182, 416832254, 480230870, 286163681, 295090170, 70052976, 138096066, 707369237, 369900852, 678899437, 375011183, 842278746, 375350647, 803268912, 490289085, 840446510, 537227573, 892654654, 679585417, 928546065, 734571632, 53454473, 977385674, 847303289, 448190564, 443681451, 640187208, 53720483, 925473810, 250658583, 349474254, 990140522, 86543711, 369411292, 144457984, 18534454, 706889420, 794610970, 613541931, 730556536, 96983702, 588349004, 630819828, 336347364, 706249525, 966613524, 923984923, 341804860, 372292108, 845598165, 84123764, 208309347, 441774473, 525912301, 315908844, 194132762, 788475820, 835167295, 566153430, 751721252, 401229852, 674713168, 532353523, 77632469, 642557144, 222474304, 936269133, 980620551, 428307693, 972912007, 434124545, 265569450, 754071354, 821013607, 923385224, 706930216, 537089345, 527131211, 277860063, 779030207, 760311775, 167664254, 109406896, 147530909, 965998493, 11295779, 497098950, 198023184, 976790327, 448091509, 427427718, 481363051, 971733020, 36128915, 923120129, 333721952, 88035446, 827914485, 988179635, 526726868, 162618037, 60619333, 274347793, 765853082, 980816181, 953568509, 739845515, 434251687, 769931181, 39899148, 123869212, 158292324, 795439280, 172082555, 655787536, 977857732, 661113074, 139451207, 160621216, 759148103, 51555999, 831377257, 774586618, 649162478, 459557982, 859284046, 188717713, 421510700, 959386814, 95176103, 832818623, 912112832, 653614000, 89638957, 320014180, 66912471, 181249885, 808898497, 673604638, 872298954, 563251025, 339852237, 231947272, 695479339, 155377417, 423938064, 397378734, 32410785, 179375849, 240760980, 359999192, 287216312, 391948864, 820452175, 82233407, 774568344, 337526289, 173192770, 300828867, 287944772, 871122680, 638649166, 196554392, 695956301, 54999484, 917518491, 937567211, 545716316, 138619194, 835584064, 547288387, 708059858, 280742541, 913433716, 183716089, 981078052, 8726152, 750967409, 613587558, 710076379, 294691857, 396767116, 913506449, 931136742, 413229884, 908515463, 723621303, 112543123, 720887516, 777241552, 255030118, 571185080, 945038867, 637128357, 102206429, 603926348, 718045150, 305591271, 225068308, 361513931, 707512826, 288938289, 269116324, 210215062, 866133350, 493797150, 648616850, 346734378, 279473116, 370279094, 666118751, 482956918, 49970649, 355750819, 448616034, 16732616, 785118237, 193036058, 78500326, 318233721, 442330201, 897897564, 418727528, 351401602, 128021743, 64190729, 635752529, 599070910, 925561284, 191306219, 37824320, 678072264, 449659270, 212555109, 372162533, 145678700, 370293600, 408850479, 176344194, 642277157, 246278045, 504680212, 29008655, 331939794, 309837337, 331580007, 129809303, 175480622, 799266310, 100553564, 670870403, 895525316, 331632601, 763724207, 246754761, 538553245, 501153882, 62562321, 440716443, 272156734, 170558858, 706141076, 580089238, 658682815, 96117443, 417807388, 113519183, 639368537, 400065919, 657113965, 918310729, 662876057, 174769053, 335543604, 975822381, 109218837, 573834470, 574128206, 890693728, 321181888, 251494245, 662150082, 895869625, 537108936, 941137, 254314158, 17265292, 63202366, 171516380, 278945492, 600799293, 971190456, 577436146, 60436479, 403952264, 433851903, 920206922, 553285288, 767838428, 105254329, 496287479, 756037158, 119405828, 179922544, 715310173, 303679971, 914766439, 145281561, 259997846, 365532491, 528671550, 553135392, 918293895, 270358388, 36322026, 299934422, 138299178, 95741312, 87205708, 177431674, 86615803, 757453380, 337341203, 600489337, 934348391, 289474459, 348968837, 408591207, 659040188, 759517995, 27200229, 608850193, 614423387, 563721594, 377731843, 54650509, 48666057, 602552420, 655233191, 712757251, 542918264, 327288039, 417929882, 511761726, 746693635, 650671534, 360821194, 458627735, 647704766, 545536912, 811702407, 739227086, 252864723, 530843864, 308515308, 394990324, 39051726, 615455843, 878943541, 779435411, 182169202, 29296817, 678915540, 155426868, 484415306, 477515057, 794511607, 230518268, 539756100, 50760132, 539541287, 318722917, 162780350, 621766503, 994503625, 794215500, 876962645, 178698996, 379993525, 440274795, 971871029, 161818793, 891477292, 64229491, 926036098, 485339354, 987310144, 78657991, 301273978, 51511457, 493394108, 222501433, 859054619, 865818727, 796461111, 230461315, 24656447, 924645322, 406590413, 724435932, 199653864, 876886723, 189394896, 377978395, 639762163, 415206018, 366203807, 115857552, 730458041, 417002505, 641566156, 573077463, 661341281, 311057921, 568529171, 247714875, 829162231, 868271220, 637545156, 978885695, 468870551, 691210915, 371624664, 205240478, 243307141, 738556000, 75770446, 240541962, 879152038, 288829374, 297755714, 731086592, 647020745, 269814587, 281341075, 177287469, 397225143, 843875584, 10720423, 548349103, 281657632, 822684418, 256633901, 329054124, 860632519, 305183857, 211226059, 588908107, 576566499, 795428791, 74045673, 442064211, 985937886, 257301628, 867277608, 506150149, 627232805, 140575824, 821354131, 415763872, 551012563, 830602779, 954656899, 235717231, 115698213, 276987141, 28463431, 432763895, 455648027, 592791943, 795943793, 447882805, 299701804, 284635031, 95399554, 432693706, 499240800, 268042594, 377812909, 448726957, 812917528, 55268715, 406813457, 783379732, 110299831, 608777105, 325820356, 575875663, 345383077, 268581643, 664134519, 891704432, 33588181, 237555799, 823352862, 560579208, 634136911, 832456612, 777484516, 623750032, 980393779, 534540352, 469635270, 670771446, 989058021, 583251232, 231860007, 704645071, 75667327, 700877508, 220784493, 773207189, 401817434, 973950758, 276981912, 219804796, 112541903, 386676357, 390965775, 737358837, 675651234, 596160544, 545488026, 876472650, 31148164, 288604889, 588094112, 522178373, 971671429, 792141597, 731708545, 890402478, 599162114, 836535653, 835303135, 345310767, 284020826, 285725989, 180624172, 518100188, 400670717, 562634997, 133400078, 662057787, 655093699, 441965273, 603214694, 783210713, 854600952, 883285386, 90471009, 871603144, 705717285, 791150727, 3046974, 992291954, 265339517, 402100166, 932778872, 41246238, 651855194, 426351904, 236570599, 971421379, 536086636, 147164568, 877060831, 876520580, 267314609, 212163625, 855789240, 616502042, 57403665, 868403835, 779942405, 270147401, 767938764, 327881559, 952840016, 623046284, 489995535, 247398813, 633183728, 248132556, 645407077, 535234539, 797636359, 261955501, 795292490, 451685333, 661892131, 131261825, 934279728, 905389301, 91513155, 463540868, 557540286, 576933742, 603506184, 743236618, 389084373, 900174734, 788849873, 600455506, 637167962, 855976252, 314336436, 73901858, 355118786, 360679297, 264843971, 723716451, 465264849, 614440198, 8096358, 319401491, 26104038, 466391983, 789727267, 435801242, 82770876, 83636291, 902081376, 652624017, 776981435, 116612567, 768340398, 76492646, 828593660, 763965420, 769137942, 375499090, 502552588, 543774199, 373939520, 414108858, 666831108, 188107135, 784329079, 564860767, 626931349, 653167089, 235765231, 501561950, 916465243, 771524659, 12586771, 113777759, 21263503, 811295570, 741767401, 710077068, 839310816, 781958654, 91298905, 756030071, 179056601, 69998034, 162957762, 108200613, 470434275, 311020688, 594344597, 418713573, 295379432, 74544399, 187008632, 302760563, 622632187, 726639479, 350021602, 246163574, 966848464, 862177225, 747589186, 882943647, 208776012, 402184160, 805215536, 126566328, 226522219, 513898173, 116197083, 93171898, 46258155, 552968738, 857948919, 812688414, 122715537, 992167063, 533610085, 287067334, 458451057, 409664950, 458995259, 121350032, 741277002, 468946704, 634824875, 663046513, 867876479, 546301291, 85185180, 40867285, 883414960, 3714136, 768428063, 563849605, 280506204, 370946765, 466410142, 168186769, 921913214, 572887961, 174863643, 596714263, 210325011, 9314519, 969848265, 999190316, 272949552, 474298602, 910844150, 389317654, 639001003, 495298467, 382589012, 833518815, 708703844, 625882747, 490432307, 812633821, 9355725, 553171636, 206480780, 277619881, 940418200, 986787085, 769223417, 555267035, 263714466, 18784083, 187764967, 340602065, 111172952, 600182648, 236056629, 403758176, 6144386, 321550223, 167502567, 586585376, 510156977, 129408915, 748975306, 782386993, 545988257, 451500249, 556751061, 576151702, 67989906, 842288916, 432719152, 434932575, 547799459, 643638394, 30359108, 313732742, 436563454, 715188309, 390227762, 125483610, 840889392, 713598196, 718623191, 284770837, 459232784, 6557511, 642673484, 644168306, 105717080, 229526330, 207630088, 973362655, 509717688, 20598438, 638317999, 677818289, 430927803, 350762833, 329803854, 338066278, 361398156, 133980828, 72386739, 51123340, 209686206, 103462785, 586955407, 445620649, 339816761, 769570467, 331079507, 673857758, 534167457, 434754968, 785512746, 691381391, 316124475, 890403661, 624806118, 433850340, 270985772, 424775652, 293791928, 410905424, 659030203, 352651410, 447467133, 461743049, 749679684, 293590961, 931961374, 780784124, 14744686, 332098779, 848370887, 730433531, 634018458, 176443895, 717365221, 132830163, 965733904, 245620751, 239615615, 499717224, 861886846, 585036267, 901274051, 988881293, 396710353, 142791794, 711665581, 469665203, 233223261, 504139985, 13549732, 401900828, 51899483, 659574567, 296934629, 54341542, 822628867, 977900622, 866425832, 95322824, 865375162, 481653939, 640118639, 546398597, 787928983, 153116190, 7890339, 837179917, 987190896, 414857312, 99048215, 412199189, 325786520, 113690598, 690333639, 256139227, 326538858, 118944527, 373799282, 138736325, 743864324, 618894257, 836107323, 584632087, 869429017, 462105091, 765486256, 943478841, 228974191, 159794583, 386726175, 161282771, 439775362, 557110513, 120091090, 162756608, 194978562, 263978100, 906477531, 487002914, 858595354, 11128778, 82920486, 637605959, 541478550, 163990560, 237506834, 332675752, 887570784, 976714717, 564615134, 904860238, 360354602, 515896080, 461277188, 842390577, 562564595, 643536648, 318532347, 343164702, 441369742, 806963165, 618022631, 92791139, 396493963, 831252962, 636315725, 781073868, 731243977, 557316963, 374673606, 188685812, 551200660, 359299322, 514257805, 232447154, 279581939, 296811393, 404543333, 185298756, 876534483, 946020637, 159756971, 149591198, 420356938, 122235137, 285046753, 671542840, 609831342, 109655895, 273289923, 599499080, 728468931, 962494903, 824209126, 233753018, 699428182, 42945786, 330547966, 251344057, 874310721, 445373735, 383110298, 406768097, 719931186, 795631208, 833844968, 61006805, 244420387, 21449557, 912478578, 215426564, 106813455, 515950828, 2914751, 911035306, 941425048, 846413766, 398897115, 304163593, 202396511, 454698480, 515150333, 250383836, 897226341, 10849447, 698882713, 300622731, 772958088, 546566715, 649691677, 621512880, 661107554, 329290799, 555593004, 322134199, 404818733, 167399599, 572535364, 764061200, 191726217, 494304860, 138671949, 823697097, 152084302, 371449896, 204396184, 624766429, 513129350, 301193550, 537867939, 396124409, 219588692, 964205677, 439517392, 989598665, 388522003, 363776039, 396065424, 909649020, 375066434, 937359922, 466873352, 131928877, 427319735, 224029730, 359036787, 287850565, 206977132, 499497275, 109630211, 268732118, 348934305, 384331743, 336334831, 927902017, 751100875, 777044861, 41026251, 160033630, 992028455, 329441096, 655503647, 105077357, 465940353, 777933302, 535127989, 123262302, 238540346, 41676836, 834099172, 411935566, 777467875, 664107237, 152717713, 780407217, 824242724, 113402742, 326455324, 827948385, 722854397, 175427269, 875393760, 539888382, 663175279, 899490126, 816901135, 868826640, 697839142, 105986992, 227499744, 463038007, 166642760, 736744391, 306030301, 982998451, 897274723, 751874378, 390424526, 226205722, 992788828, 930803562, 738755090, 579960456, 967630497, 562230231, 689477639, 879085704, 769267834, 386301566, 156146970, 58161548, 820243881, 388321741, 714461998, 370600975, 914368008, 775198736, 637285907, 387537422, 210325548, 308849245, 874114449, 87864165, 773758093, 283365288, 851800500, 219209400, 806983471, 184858672, 263149355, 277866284, 911673464, 763529536, 331472970, 329848563, 299489443, 41792417, 34674845, 520203229, 213954546, 446582179, 449432098, 805394810, 206893201, 153337902, 314547708, 529079165, 810036622, 351330494, 364306015, 71887071, 128022064, 169803339, 274423528, 676652169, 923073549, 417507770, 423557583, 297500000, 329529966, 92409938, 605648515, 355671204, 694658521, 419762706, 8140361, 42342403, 48714514, 396745722, 507775512, 949782029, 389710784, 116665317, 29726704, 281007213, 862273421, 163223781, 230871548, 947006787, 35813445, 928151802, 955752783, 417285858, 118097085, 177195936, 407388562, 758458654, 280070695, 828471624, 891060444, 786882692, 116006488, 196584612, 708963433, 103098665, 594208228, 959428928, 469535450, 686679120, 324234248, 42345272, 666503648, 251706353, 8303103, 370749534, 518276445, 530350986, 732725001, 922222392, 806082634, 37313033, 507794333, 98053961, 576909686, 370556621, 410459451, 298117869, 421638294, 938882547, 291332587, 704790360, 743728525, 283216145, 703844667, 26723361, 868505140, 257916643, 601849262, 772205879, 237754601, 631392290, 900153531, 563649373, 335047330, 967887412, 78730240, 152661603, 194184373, 249971807, 987245665, 157084102, 614498694, 898201098, 555881854, 694702349, 342823079, 352577520, 245082624, 1581677, 723390937, 70142527, 2065162, 66099391, 472867402, 563477019, 431419881, 464260960, 255367496, 889304308, 561298268, 912480395, 111708649, 321759591, 143364510, 764953443, 364724436, 452339841, 819084851, 20560233, 917783541, 136279261, 572393877, 445768943, 219875492, 508269450, 61087201, 467232008, 307179481, 635087817, 473653196, 439386763, 135486545, 968300345, 175020991, 341381500, 148472514, 886093849, 151509505, 991979317, 549998682, 223982027, 257940633, 764216406, 595741274, 337091458, 545549109, 971069844, 774378765, 566959720, 437960496, 933240778, 375813240, 982487122, 224582456, 563632329, 974633371, 16350761, 434038189, 775509790, 533381137, 857928627, 907987564, 857762284, 91439263, 802654194, 663807112, 203541530, 788653192, 920691951, 110271210, 495419496, 414206711, 469728833, 276947197, 363590632, 902926807, 204036779, 316264410, 961761373, 665282294, 263956003, 747042645, 613558244, 723708381, 543111765, 350451526, 277092971, 933093340, 206628597, 765961159, 531754018, 679670183, 894414218, 214658020, 781429161, 324586529, 30982263, 464632855, 37337237, 707732187, 571986934, 463613958, 550929066, 147642583, 879554088, 64120354, 169812065, 436756204, 554519762, 919843496, 214172941, 827320015, 263110272, 46001680, 958207461, 317565710, 136140038, 518002376, 566216856, 885493377, 277158913, 726506286, 604307224, 177720503, 575687020, 298910839, 569287344, 6659238, 774805585, 621951162, 746694866, 661661024, 282117922, 261971274, 512721575, 712351480, 214715443, 207749189, 14825152, 593548783, 2440577, 672450624, 602174900, 411391093, 385722512, 481697722, 964379736, 380398585, 62368687, 238353061, 807525634, 882599823, 461025285, 121590738, 696666474, 775549810, 366426458, 773153210, 105223235, 580615927, 850827911, 289779820, 180025989, 701674271, 973238422, 217052557, 344211654, 788131078, 456776969, 120546208, 4151142, 470571732, 839087374, 807882719, 954480260, 18901838, 326160095, 570848513, 346037180, 188165046, 693004402, 470944888, 312719166, 346392315, 135724206, 951402425, 475471072, 971887670, 350734566, 942689093, 483432758, 586784451, 220372237, 205203689, 846656621, 908139981, 133123166, 52212397, 626581154, 597576475, 227222877, 992451347, 267048668, 326846905, 106528960, 913826137, 932982784, 612674828, 811130890, 825721575, 786295998, 661449169, 22884355, 376430100, 481655693, 972878561, 601704476, 529260878, 820013367, 178932192, 992813835, 421272263, 266647573, 909722184, 717026967, 929731457, 261160402, 801633749, 546189833, 890026846, 473377365, 721438873, 817172228, 45095059, 401162276, 388027540, 424299236, 781860075, 539161282, 452183980, 259740568, 134696461, 412831179, 449129845, 575514717, 19778899, 94524438, 151891497, 233349780, 774585770, 425401148, 412720002, 137410542, 656650694, 321942738, 540637815, 310440399, 953630048, 97047545, 23056736, 981220384, 419147698, 820246722, 697279542, 654153199, 2948593, 105720717, 819028158, 805043311, 692173736, 559607950, 557970884, 541729264, 693975971, 667336919, 787096475, 751413012, 160022918, 597968589, 399188786, 59675475, 644482128, 330593832, 613232154, 767553588, 779473924, 434196055, 346508558, 220071324, 522482702, 321578510, 356229910, 291285156, 970719365, 340806269, 666899715, 594829758, 698141445, 890629856, 986722628, 487223836, 970728538, 568760606, 787935348, 380609891, 99639588, 971497787, 50336317, 375971610, 65105556, 945672928, 345754444, 867724635, 718456868, 20637232, 81791460, 889397552, 300611358, 478961809, 558909547, 125109835, 642381054, 418463176, 11414284, 146926438, 97027493, 381831349, 97869899, 716351583, 50241917, 565520004, 850491753, 162404019, 462351549, 209109719, 765774246, 275217973, 762912002, 857616643, 540500148, 441160088, 198082320, 730418806, 817295308, 530888892, 865312105, 753610033, 563101356, 448585127, 628679502, 153929301, 371488309, 869538930, 747079502, 257259766, 780553392, 635300141, 67956686, 359402, 187913987, 604170339, 453050956, 580602162, 80638792, 655549558, 806759797, 745612777, 814636492, 321772048, 244988733, 672940104, 920525763, 794186300, 408789205, 771783587, 974857333, 792249510, 550508217, 666160698, 886747961, 3052019, 899479072, 116686650, 987652372, 448096120, 986821913, 565774851, 757501927, 294125096, 248167319, 93058107, 925534535, 790477515, 428242946, 246772316, 582703590, 15189108, 371976260, 970108103, 438054841, 702919363, 932439418, 300158073, 531474245, 996048716, 279843638, 210112238, 470247911, 505258417, 402057377, 465933360, 652274089, 965146690, 525777369, 319366556, 471748709, 959957656, 137608780, 820266493, 853381275, 83310252, 960272705, 576772574, 797456418, 894181234, 303395279, 284895517, 570331947, 799404076, 232324999, 223812397, 286473527, 830930910, 209117239, 764237971, 727706954, 4386967, 127291858, 109711383, 109924955, 563625930, 995564796, 875396912, 39840585, 923549420, 409728682, 806411435, 718349646, 86210966, 148318666, 450281598, 647253338, 204766448, 961602013, 423192701, 562655686, 207441755, 938137281, 535311598, 85336986, 777315832, 738803557, 527397568, 751456547, 428321883, 335566231, 774245296, 129250638, 602359189, 203904506, 718493743, 142657418, 543246995, 364411826, 210704410, 579320430, 791632602, 692883495, 559988341, 645602654, 326481139, 460620155, 690334557, 62216840, 538594234, 961593030, 208806152, 970506244, 255593985, 898700491, 868387478, 216374226, 103286192, 600232124, 820955052, 844462259, 784392646, 64845145, 606769536, 928900605, 647121477, 57346889, 824827870, 773209267, 456016136, 731629115, 610813724, 649232991, 890595155, 597258576, 570158461, 168774108, 869373154, 426529152, 848174835, 669149160, 547790336, 292621315, 205098341, 430705284, 512758036, 194914601, 745912383, 248026521, 317964204, 617419374, 517012733, 246608553, 510698818, 610601381, 418773372, 749741437, 266384283, 53032518, 561777295, 989902076, 23517476, 301394566, 285724630, 238079747, 170984421, 871806686, 264255740, 300589767, 197690950, 937876962, 654369314, 885345665, 803158653, 562977052, 617996948, 147861127, 940969091, 373576487, 231362555, 106285543, 760058691, 763185154, 534664057, 957017019, 300806828, 301672870, 898235400, 160351858, 737978300, 563277807, 652960544, 26446438, 300526577, 337019827, 169692615, 464451528, 498383000, 695524860, 443622530, 637379759, 187131053, 91567940, 174487717, 619723997, 547364236, 667077769, 861990837, 269656878, 98239251, 409722580, 93214370, 510934257, 176253950, 770498901, 33225028, 494995430, 666720890, 477902856, 379434004, 755291533, 421866741, 346000807, 664928344, 786808572, 917262612, 880619154, 32426004, 165926654, 610190817, 266970212, 401056129, 103510962, 447074635, 870941425, 62380403, 547593384, 302302810, 652824020, 606093356, 240644399, 875381852, 740291944, 253559985, 606696884, 151000920, 467331636, 31202911, 155490673, 663817458, 377999151, 1202978, 850331938, 74869728, 551883914, 920830669, 923465842, 40369669, 901524141, 598161442, 245959235, 406343396, 187197659, 478358674, 818902748, 14852300, 870811099, 602230009, 475779198, 423563725, 964897639, 546031067, 252973472, 853767649, 282542915, 465365034, 541808252, 337768915, 677603800, 310052899, 817647524, 640306506, 601043822, 191099917, 852178392, 827656916, 316167971, 928140873, 815408675, 572884737, 661924736, 459582575, 899910863, 381092208, 589274959, 293344719, 812818281, 613019060, 821756533, 787049947, 774637461, 398814198, 127042689, 515828983, 318358769, 615692647, 163869257, 163550962, 721228118, 208394584, 430286796, 777236245, 748942905, 479460062, 540690464, 120804780, 780179181, 266690257, 34139461, 882208391, 906235214, 37405308, 599460695, 666325146, 768034167, 485328521, 66390264, 641800235, 923682188, 773137668, 368686628, 742021801, 802984996, 371801825, 680713585, 811156106, 208512914, 730599765, 569167144, 35826841, 20867106, 634456305, 786126635, 476224625, 489368764, 360028860, 628356821, 513652489, 214137796, 189169816, 433563221, 55664707, 685140934, 510181168, 538881087, 688304025, 781897878, 923653472, 908505969, 728665047, 592314449, 699571796, 914973404, 608448117, 479035443, 189275097, 839779111, 64107724, 340321731, 375684040, 179509274, 131653792, 382961195, 585427756, 255333041, 579264099, 159186886, 852471505, 913225043, 522740304, 414512485, 270370471, 516225795, 947450214, 457352891, 204656580, 520979202, 280686702, 458579057, 185004457, 417961308, 535247220, 656761047, 356469613, 781365628, 618954957, 723560122, 567864708, 315320993, 808384131, 672059919, 914014486, 166343283, 365547589, 502332140, 356451832, 956440540, 472717424, 953039619, 946227621, 460497152, 153948692, 512257834, 389153918, 592328096, 432058417, 602045197, 632412603, 14158220, 618262499, 374105115, 986008294, 726378960, 775017641, 773324952, 763671330, 837984636, 616220226, 812066444, 892565384, 514584655, 645593685, 621139244, 868949481, 564036570, 250634364, 314848196, 715833577, 832753563, 81680222, 824483448, 61700502, 605080294, 369801760, 3248820, 526763027, 302852710, 728346284, 721885740, 653341827, 29103960, 118931899, 310095724, 981698283, 210061538, 131112369, 614365487, 638235870, 691653944, 350125336, 15930801, 926625016, 733354693, 149756121, 877962137, 448971267, 19573197, 938463329, 192515095, 808654488, 358853301, 474154394, 276651061, 570640546, 46343989, 285044464, 288713843, 983609851, 734622337, 200242622, 209942700, 596271683, 401003114, 523245245, 537724475, 814400904, 317495439, 43697263, 365150297, 588583722, 75927967, 379301571, 134304407, 552445583, 398283575, 383323473, 441254621, 324484825, 223886238, 818448918, 939767640, 198537723, 506977989, 230098251, 18905789, 430886078, 679913389, 380003133, 399880487, 190080471, 628244236, 217154135, 528452494, 6890056, 638650739, 115873244, 797582810, 766259355, 955978037, 158401294, 674409560, 283585397, 158906637, 146403289, 915214954, 957550233, 326039577, 360452432, 321011519, 2271982, 181069798, 257118254, 338415423, 944673295, 826690248, 937723918, 743923088, 41214603, 88741218, 250634938, 998224143, 388044729, 759997979, 330837383, 301063574, 269271290, 610465667, 915317784, 910633214, 433324256, 882489380, 158966296, 728343707, 402396489, 615795273, 718875292, 740201908, 48813943, 276853870, 624174156, 924197343, 265269960, 700665139, 738142107, 574460402, 508448722, 689801229, 973148615, 287106921, 882765074, 929925575, 863635172, 720956675, 321585424, 40249219, 551874871, 172904248, 193861833, 452709497, 967624288, 686710575, 423694170, 987596292, 49530383, 55706228, 240817895, 63003905, 25602046, 775352126, 147425848, 505025881, 539470670, 526853730, 634113208, 251251349, 548832878, 46972559, 766851314, 715350392, 398730473, 374668866, 757554316, 720067928, 380650405, 314335707, 768607525, 831733223, 730404990, 781085386, 672882661, 63771359, 929777319, 364258032, 546303160, 374900480, 497716982, 925827842, 634815625, 835725471, 887638937, 712103599, 987654990, 515774225, 673572914, 259503703, 550813538, 510465757, 459574870, 192608702, 489027698, 486418116, 216345600, 110869332, 878077053, 969185552, 368650433, 540658942, 954034723, 912064423, 853439231, 53774917, 451903469, 370749863, 818317926, 640556497, 664659507, 208616989, 723908874, 111773710, 886305277, 849163411, 936529921, 97583656, 764433319, 342485953, 48696074, 241572854, 354350611, 492572847, 6078557, 967198210, 626354288, 441017580, 192944363, 135566638, 688471103, 820551076, 656445780, 575978498, 809356074, 146981425, 178592106, 180997765, 579889945, 356524849, 810104366, 992376595, 315395857, 37531820, 196983858, 255551005, 257767661, 862669882, 247940827, 434180160, 27240242, 289516017, 589001461, 637223198, 739789738, 577989959, 209849083, 116895602, 48804747, 273596560, 914641724, 654110642, 732540679, 264392763, 85173298, 848622698, 976334029, 478496915, 517058824, 778912631, 589708062, 227467890, 541348094, 863039552, 327126703, 291819267, 418851986, 282129386, 17023297, 602317448, 335848811, 88596799, 724180108, 215200080, 931972076, 592828021, 181409274, 712827760, 514842050, 97446384, 810799975, 948801714, 822021087, 686286006, 498486931, 914707295, 915983801, 768745901, 844711223, 102219035, 644702811, 786199675, 944473435, 109979896, 729930971, 509152820, 772332834, 171056589, 501838243, 224958778, 216415601, 936713966, 457316493, 404302522, 735425814, 560349465, 610136811, 898307910, 505826035, 298770609, 528903767, 339650430, 35783073, 331528708, 166249046, 237332526, 460600553, 997754824, 223074830, 803106273, 937338525, 30113373, 966190404, 810980292, 752102314, 464505838, 555464487, 23556330, 647539420, 386012733, 574372684, 183585083, 730136389, 361647425, 999253102, 527034774, 857676502, 834266351, 231932994, 224105359, 230657773, 556421691, 577209207, 824039076, 989821104, 411704709, 647836427, 114715376, 840987758, 951042577, 4936769, 331904490, 21480228, 311113193, 279590938, 423408622, 841866910, 679459443, 46368475, 176618601, 377373695, 533830484, 218221434, 228695031, 560027837, 319567975, 216302020, 869388586, 578944768, 744960178, 924153841, 40357448, 260764232, 710845380, 418809155, 846798879, 287325867, 564900335, 713704625, 376532438, 63818582, 979370712, 397798810, 5980722, 919992843, 763963761, 936539272, 901980033, 942859306, 796338703, 886994369, 162666103, 492386887, 675311826, 246432248, 653307709, 272302021, 499504893, 912510703, 627343985, 168143899, 422731860, 314748579, 341873090, 99848483, 669244702, 506922670, 420125015, 51756244, 994679178, 735212569, 275946462, 24281534, 643750813, 266049893, 280883705, 724129118, 835280522, 320330683, 321563824, 515265244, 694192290, 451974424, 507323235, 502305595, 290029369, 828753335, 230421213, 211829755, 145230, 345855048, 18382634, 744155929, 121622810, 560747409, 190422595, 894866428, 251454281, 423491752, 588007420, 198007123, 174124940, 499390280, 656023163, 409183636, 507546586, 512257090, 404463066, 113618359, 94905315, 339141806, 608432500, 626714441, 476970393, 511674116, 97125866, 387824398, 189786602, 191286372, 762191151, 219495580, 128366919, 466504380, 862290760, 166113136, 78169848, 137764192, 826901875, 500398471, 84715519, 551185848, 849249217, 377059285, 186989719, 837151743, 679352061, 605199527, 952699587, 161141844, 292341651, 347312277, 434131217, 716140098, 249965201, 834765696, 957953630, 40000941, 618083245, 176434616, 493673847, 421771501, 371525732, 152188433, 698130054, 736373520, 469294158, 308086282, 245728474, 729111515, 709441900, 840624333, 371204511, 864938880, 167749467, 790620678, 657140258, 882137117, 710949470, 634445306, 307676433, 885983139, 769168263, 250899457, 130777882, 141792860, 846443585, 57941922, 138209788, 896460309, 280301418, 755777096, 280008293, 577225435, 7517119, 990452384, 539995974, 526523154, 347023029, 591387882, 987375812, 605372585, 827613542, 537214042, 75839524, 321669707, 205470136, 863383153, 271152564, 654641744, 571280878, 854367446, 26191740, 906849096, 812590967, 638784816, 124691245, 571928180, 833693661, 375629400, 714314342, 768527695, 762263362, 377094552, 120351782, 843356478, 145717040, 190842080, 832296543, 59218614, 566849679, 162811751, 212656248, 135290567, 657141256, 111623422, 115292825, 306910284, 42750062, 2294236, 985985068, 823244797, 539110827, 421262627, 341980682, 883953931, 314791370, 462522898, 708186504, 602648918, 175179731, 159400643, 77356647, 933858466, 859478758, 687507916, 37253674, 294447218, 418081771, 872335120, 351290082, 952587157, 29544332, 851041854, 392605690, 818210406, 347446231, 662851004, 24145563, 697555899, 508510248, 987849630, 878363576, 430377317, 949015413, 952004125, 152163511, 967221117, 835628271, 835728424, 556102126, 257938836, 421221023, 186472036, 287195340, 11031171, 181017789, 490854205, 885244784, 477732491, 658181975, 300188279, 273971313, 960704055, 17048340, 322591827, 242894356, 823337876, 603343602, 933065926, 880936497, 984954628, 404415165, 961011953, 892387539, 662143602, 82465011, 653479000, 702141920, 866148049, 924447282, 849975296, 387917521, 652829049, 683691166, 511694704, 953716473, 314941498, 559914515, 468345218, 484602363, 58531181, 307704500, 314581623, 328153407, 867575999, 194936018, 458687093, 801076364, 495330258, 632580119, 976583389, 342176143, 80249886, 535040574, 862714958, 221975520, 780449618, 556275456, 696437389, 874871775, 418254240, 690569201, 961902370, 427605618, 690276721, 902685144, 660158019, 984417301, 489074124, 537903403, 357399153, 554302351, 426132482, 986872514, 245327955, 615067387, 636373169, 480828608, 989129537, 642995815, 198596650, 724647031, 244765912, 589959226, 543462367, 469758901, 154753991, 396622178, 143256623, 291482039, 817727147, 3883586, 258535221, 47502251, 203053484, 366918046, 929597054, 52758824, 805739561, 257902284, 276663370, 959221961, 579739676, 875186569, 730292922, 845638373, 39687089, 553260390, 32535734, 172826370, 634193348, 558251883, 545262252, 652085917, 128145314, 707848583, 683068316, 350846508, 73405587, 90595986, 56982108, 833244158, 299625395, 424705524, 365045255, 678313349, 833265268, 70169099, 28546599, 937570140, 240748795, 868028244, 843984050, 261344791, 788613100, 253719026, 910562123, 136973095, 329320948, 925494989, 779421653, 943617937, 426114188, 780488726, 174793236, 353858311, 315258846, 47681715, 126074241, 124162051, 165312452, 555541963, 427197970, 889100463, 398592856, 435029457, 980142208, 793094280, 873611745, 534796884, 409874375, 665869714, 778975291, 15528443, 561370695, 349165833, 683397191, 618637591, 412619063, 149807217, 476304807, 33520691, 536105909, 566393069, 395875512, 869054700, 159711318, 612301493, 642471286, 456373054, 839172252, 858558374, 336204422, 864685751, 199573819, 655842029, 676659119, 492855996, 735886024, 329764554, 339019756, 130321880, 937405064, 372629162, 931806245, 129699836, 993921352, 77840251, 436367102, 885554544, 227107447, 612672540, 356698114, 814098391, 544970994, 955806053, 821402835, 920406057, 488499233, 704688636, 175530048, 834014009, 534997173, 779044760, 112657841, 667439958, 371291041, 963884032, 893918289, 117387609, 130764825, 21708697, 794431324, 177030862, 617195862, 250776985, 904626163, 825998380, 52943670, 401240976, 115409684, 714572197, 143630282, 377354458, 404839938, 457109052, 624974094, 671831731, 617462901, 10604849, 776572485, 89516745, 74293073, 281087007, 459477933, 676013262, 840165776, 806153620, 719700577, 840450742, 902058025, 800439150, 289190466, 89998853, 681053496, 719407377, 98554564, 553992365, 747374569, 377789815, 556233103, 938442849, 287949838, 892748688, 795399657, 779603223, 179153493, 748599429, 791802503, 393764153, 981291959, 841022311, 856013625, 181716128, 802648115, 398820034, 750486446, 875448556, 636662647, 335737961, 118767047, 189748706, 12298860, 812059362, 233064527, 403413819, 337898461, 646893973, 945840372, 85856341, 289550623, 855445134, 293481819, 926661040, 783624586, 669737870, 811100921, 895138898, 221521220, 21105195, 897593500, 140111528, 851828413, 432696519, 526677611, 982958525, 323677930, 679746345, 245335250, 831716772, 314849655, 770539631, 129837136, 310037644, 334963148, 47583262, 286562790, 723126761, 51422184, 531846349, 944541647, 368222753, 670360822, 275202717, 109172990, 377871173, 433066820, 787953496, 874010044, 526915618, 29439658, 47354278, 92186370, 722560253, 205305795, 645401961, 256052171, 627093163, 954423447, 676159445, 129683385, 696822628, 222905759, 687746383, 197658738, 961308477, 507262524, 756156474, 371246817, 253041316, 940499370, 570288010, 56421608, 616660579, 302185342, 770265643, 875760857, 246179134, 837507022, 793148263, 355122724, 579406104, 772009096, 755884476, 215812498, 202760604, 125939614, 639466991, 252638214, 808966455, 784014732, 698380397, 571069341, 977425208, 33051139, 404994290, 935724726, 261316030, 875148697, 839205319, 742750397, 447397739, 156259168, 249805310, 215223673, 706360604, 285160064, 491149964, 713854132, 937093998, 709643196, 547818809, 303866769, 943011578, 538596151, 660605911, 521771604, 503542987, 791743884, 682370551, 612165726, 303368810, 882225342, 475927449, 622250219, 845778530, 700640048, 528841406, 830418693, 675135780, 535671387, 129006361, 116351356, 564544035, 932097809, 669583433, 754952510, 361367724, 186601698, 413880241, 826474121, 276203797, 918128869, 249712507, 63965657, 807484413, 719311328, 981785380, 608178879, 755579893, 445365947, 51343312, 159345941, 226681689, 125809993, 529408891, 167316873, 238728057, 903533930, 403849818, 372525681, 580311482, 799561418, 693240986, 797446820, 938963616, 430272884, 404297008, 471710039, 347465475, 657045828, 367931393, 632925403, 795576940, 928588820, 75909946, 724561553, 52912442, 762659618, 323284092, 785401801, 87010651, 530118229, 253743588, 818093099, 277494613, 14108788, 344283264, 592400270, 309222475, 199468786, 897284452, 4318153, 643881543, 121059906, 332377461, 557895463, 974114508, 154223342, 748269438, 460282083, 872387065, 970501921, 455940713, 4883938, 249470239, 659629555, 959348774, 747039175, 563019267, 928950515, 968926837, 806791734, 734394098, 531686756, 657386253, 719818870, 16581471, 38481585, 874782848, 195876195, 995052808, 972015240, 459603210, 536004440, 255601172, 165700720, 623222004, 901890848, 380717359, 206763149, 96354281, 991325895, 259922751, 901747563, 739158418, 349254107, 101764917, 537543240, 432147591, 822930523, 441286442, 90873668, 544948702, 813652621, 545276857, 499305218, 666432523, 124875155, 357416938, 549619336, 608176945, 986363991, 623140142, 696796896, 443288967, 885071637, 863712155, 926714085, 849047961, 114119616, 593017223, 682376496, 387139719, 398853231, 800901894, 131951818, 409699499, 969705763, 810354986, 434544928, 861360383, 939798518, 657021489, 285539121, 63310474, 138291423, 376469932, 128701490, 620985969, 412312368, 560981731, 979640361, 695013802, 443463364, 901172140, 155808342, 594685398, 569805699, 737909985, 179654197, 930024273, 227768532, 402500583, 787928336, 457495034, 30445372, 738772156, 690115520, 475850775, 148784300, 284991895, 700305509, 814596833, 147289365, 448538638, 327574096, 530374261, 688208712, 94299390, 986169391, 395287674, 350308057, 938414427, 947032501, 904127128, 142303010, 876574404, 172162837, 396753057, 886781005, 767697791, 816666407, 952096822, 824011386, 266662343, 698711748, 314951894, 883745992, 944218935, 25578206, 808587035, 797414170, 431844708, 624650999, 113935436, 488677946, 798388216, 881513976, 33348892, 155329647, 532899391, 986755456, 909854243, 450511590, 131088400, 922982041, 617460689, 73493607, 794872935, 985163536, 637531591, 780726120, 957304953, 56596736, 149541747, 915816336, 272034283, 306702096, 633924846, 97520842, 633645848, 345495241, 509722346, 797111981, 187579867, 30311861, 249391733, 383945935, 532180125, 212543406, 982261028, 384820052, 538956335, 411375851, 585975334, 725815894, 389785224, 818069680, 925349379, 888492522, 756418002, 659524643, 309515938, 391644579, 785988076, 267471504, 221771908, 74249329, 942943888, 554790450, 697380679, 780815205, 872672110, 893534022, 817906467, 128555416, 375217041, 844021679, 151957268, 844953700, 37284326, 568418666, 333253781, 385086758, 503943299, 296898349, 732772615, 773138144, 743711733, 313044789, 628413434, 403714264, 25258278, 96180037, 948500042, 48180561, 57278286, 17550169, 118171405, 124622023, 393685638, 132855323, 603631068, 30882764, 345525286, 529622693, 850125481, 52373887, 723467927, 175565120, 217879031, 634403661, 219530523, 725241749, 927004793, 86381794, 710673175, 588965460, 493708448, 270951827, 199828457, 173859784, 383374200, 14949171, 262133267, 319712133, 512756161, 799533049, 792656612, 744629523, 598129383, 978409470, 79978090, 487803020, 256415570, 220996727, 651000591, 736723553, 293905856, 134582332, 514809140, 245082604, 520762209, 688667446, 654363382, 670443926, 152663614, 12143697, 169550936, 242682785, 726971880, 949007795, 321983699, 609275753, 532221004, 796849476, 194319362, 807136924, 331654262, 81118988, 541249737, 797000145, 90269248, 57974030, 971027708, 363948313, 321951285, 98447824, 890541482, 57376644, 948911091, 60395872, 797011125, 720766111, 630837950, 684267868, 383272506, 881844627, 225902940, 304728763, 270003366, 759099802, 909650514, 651531263, 637998611, 46395745, 699626645, 563837498, 922956598, 497607921, 694551987, 775075701, 599647185, 993049749, 819869464, 111916957, 272994423, 771450886, 282625080, 1844160, 983240240, 768667359, 594068647, 920385390, 292498853, 430641416, 153190129, 607688018, 545659842, 918419340, 78872170, 562207603, 221928898, 175694794, 35221763, 832378290, 743012442, 254708658, 561520157, 784175061, 135877408, 577360246, 45548928, 146203251, 777302439, 777590903, 597408559, 5808299, 291428080, 470328569, 740917277, 5813290, 25483074, 988119521, 399999091, 842554744, 683125763, 294502590, 133558598, 204198482, 47274319, 381307350, 967227291, 383781115, 954143772, 738188106, 189724190, 371148298, 508323686, 497628968, 613657328, 335369, 259825484, 625661965, 197051704, 945198159, 975636477, 845871311, 806859031, 691006044, 692313531, 473254503, 331545100, 885566736, 304971663, 608798850, 73444100, 480384294, 440129935, 696562715, 605210091, 589954352, 641351647, 560948388, 535290689, 255020748, 297035677, 341042875, 507863140, 741559331, 418515544, 593797437, 684099055, 321987751, 938909530, 185743481, 663965229, 949155788, 635732839, 127127553, 64901778, 657351176, 562071328, 239419013, 161096614, 568651631, 356166563, 617014448, 551074318, 379798241, 863084500, 852726073, 264609455, 837533405, 270922513, 161139003, 415319590, 783802321, 5031626, 187797688, 912876756, 834126125, 227591582, 895036031, 594543098, 699425561, 112237392, 115423458, 463468419, 199807987, 453925180, 411479709, 630774468, 147418341, 564921944, 327580089, 838727724, 623147126, 64283724, 552167407, 955315702, 345880972, 853057470, 901417888, 898764577, 159533645, 155839837, 779452974, 154676214, 163629488, 687059497, 117684109, 898752257, 68201281, 576694061, 73824106, 472676746, 621621661, 643024991, 82952798, 945426126, 807200946, 898325330, 608513135, 387536225, 961524747, 931072157, 168329531, 127549199, 955409454, 438135920, 302956484, 530224469, 700465027, 337889365, 57528050, 107990398, 24851639, 975780555, 52044980, 791872661, 300832026, 13961281, 238593903, 457368937, 946150924, 765007149, 591623430, 54257711, 959097473, 477166966, 105719150, 830847284, 61129702, 468261053, 356617173, 545867930, 237548324, 358957789, 165847298, 554463439, 67339985, 326605948, 310878106, 354136293, 652938266, 39430769, 957531331, 876791387, 374492804, 303291768, 636933481, 391155960, 143536163, 359908146, 719769170, 57954034, 279898607, 23186821, 919183666, 422824912, 988281560, 617787460, 531409881, 605819266, 157658047, 516296115, 900036877, 214424214, 215001816, 903419896, 735777265, 20116211, 443466078, 551441330, 269243624, 363421320, 347738214, 500886858, 942689776, 653757008, 226114809, 288665264, 270898884, 91076081, 974058663, 318080126, 39148750, 702590044, 18271284, 772660288, 811871642, 122104023, 871282274, 863838473, 754909875, 26604588, 686987730, 800474474, 41632799, 734792299, 201645319, 881219996, 722145061, 397917035, 544430716, 46451589, 162702682, 865036641, 641920296, 513418293, 272360851, 281949859, 230752185, 244462359, 23910658, 587619188, 247966823, 185058615, 725565460, 105445817, 641606032, 152985089, 430053420, 431716837, 660378549, 238621109, 144036116, 2763406, 329712241, 448990125, 332080412, 395437898, 739313235, 858196579, 653319733, 559526906, 450303153, 164540720, 251470117, 848938246, 972469408, 46845627, 547847220, 122105797, 453812549, 600614712, 624634724, 801039743, 818870551, 518077461, 865331466, 52202498, 982626501, 219346246, 916053394, 922015923, 950283847, 648595899, 203138212, 747271317, 196261511, 568601775, 867723329, 452823989, 865963472, 574552719, 624727075, 761809469, 189976222, 215563742, 821692245, 285711105, 462449508, 272846969, 784213862, 984702658, 962141547, 478121604, 639336968, 576303175, 871332914, 911692593, 119570973, 507780723, 979910, 928335810, 583636547, 653251198, 390764441, 132752887, 668467838, 110577121, 500346193, 294325352, 333456673, 288092323, 632704131, 653116005, 290056527, 481014820, 909070554, 353682881, 84258068, 145040857, 550409923, 720743163, 852583462, 147474883, 415048866, 299893618, 578321124, 736006706, 161639700, 246539906, 120900127, 218002362, 116726740, 206232581, 110308541, 621431093, 363112009, 646426347, 327812963, 775691707, 11103800, 249210508, 859435729, 146407873, 742921762, 291492161, 604565191, 790252019, 380145475, 346246062, 964920775, 573733868, 381661464, 937972550, 234758129, 459869106, 574245783, 453321809, 151623251, 188900736, 877503674, 352161345, 800427145, 515261340, 893733917, 816330322, 873567103, 701347479, 718731992, 726585167, 835506805, 24171716, 270839827, 854692971, 15053694, 50562527, 190369663, 957933526, 2260856, 347938083, 938859724, 295229014, 662250032, 105040779, 144061828, 290661728, 421125532, 245471765, 969449993, 534979395, 134123483, 277928042, 160012422, 467229706, 365154168, 900745279, 761445681, 694015625, 751415399, 162319836, 121470544, 688454105, 465225369, 556053773, 535143717, 697512536, 589107584, 310187072, 369220290, 174697364, 316053840, 506729916, 102129504, 869487368, 72220267, 126076244, 58569425, 664938980, 600369445, 359193028, 745483056, 537145430, 733880936, 974136392, 799629552, 327759651, 31533900, 163492163, 670798020, 19142414, 252768144, 396025496, 536390572, 502045470, 362713349, 769684954, 631975774, 74719376, 155969892, 420327444, 498944560, 847609650, 842962293, 748829874, 912181008, 769253409, 912686006, 271288175, 35284088, 26614605, 184879637, 882881217, 314345145, 657296674, 185128259, 62724637, 530287, 700083884, 167937427, 90195875, 763434383, 446273080, 722671352, 851296481, 714583399, 732238412, 613358615, 771648302, 147599212, 62679099, 366831185, 692618135, 549428853, 397480992, 536423402, 826536392, 700017638, 428694186, 357028478, 652809557, 654217526, 254884790, 318442124, 890435470, 620730038, 339644998, 231641041, 972074470, 736930560, 513834649, 705171386, 827688757, 361500053, 820305147, 770723031, 780955, 697477635, 66676887, 224635772, 250413350, 883597045, 370034031, 78845437, 117485005, 650523452, 707261234, 53071220, 542665826, 492239443, 844620403, 151062914, 530429828, 570866386, 889836986, 852513028, 877124812, 491004399, 360965082, 437373410, 407506986, 159525689, 780031148, 85733013, 924200688, 381492392, 101537629, 21736723, 413545682, 626610953, 288859424, 636257262, 244911088, 327930743, 552600575, 450916319, 292172862, 111568563, 328054286, 621325332, 110885019, 713733385, 139232734, 217877043, 691880311, 906286969, 462398705, 199077325, 198514309, 575894576, 413180450, 692508570, 738364271, 19584346, 859648493, 429149089, 708483768, 289673097, 665730767, 206618689, 764712994, 819544936, 530208807, 701819098, 938986220, 578808324, 854730420, 471272344, 348422816, 907648145, 457531000, 555652466, 954595763, 552878318, 641939828, 391432533, 302965386, 606427723, 245959535, 854776446, 788701819, 200151338, 77012033, 605046571, 712554824, 368364350, 714978723, 896783878, 867627063, 8584548, 258852571, 967373145, 91327816, 432539367, 563891573, 794229538, 138277336, 711652997, 380973487, 149986082, 288711081, 845067409, 171807646, 769080387, 555352149, 265756569, 100840055, 804676883, 690084897, 779403310, 82961748, 781473762, 489370710, 939174123, 765328324, 152310374, 100299706, 870232567, 963542919, 130338559, 740553948, 791902866, 587333292, 508825600, 594171935, 982354004, 882159737, 284315533, 179151131, 369033959, 449272510, 767741449, 673505889, 989385120, 337920991, 15660234, 396752821, 148349578, 285974198, 317382005, 133240701, 698978192, 728816717, 171294009, 690312637, 483218852, 662050539, 769840835, 344456009, 972578508, 338653518, 805311140, 814893340, 796675584, 656771686, 170934305, 272496550, 304907609, 975401230, 954460639, 297144908, 423193541, 110509106, 707395592, 914470342, 969054254, 184935120, 748703052, 541619675, 427154610, 951600460, 641311944, 877195214, 530502804, 722380253, 957116176, 718728225, 44103054, 639157331, 742888930, 223081513, 284640294, 524793185, 72122501, 59484958, 330509048, 62111782, 557933650, 144145139, 720065138, 692078360, 597132724, 30693001, 749013776, 390240974, 74647718, 830626889, 259622477, 161304771, 946712287, 759525765, 854279957, 117541280, 121996987, 51392376, 906696946, 898860936, 255715231, 341027263, 194181884, 509388182, 878712007, 755369175, 17430653, 965240750, 778299497, 977158150, 642631349, 365891664, 835644530, 500899206, 823999743, 524359889, 782318744, 622172946, 95302439, 276123578, 213949625, 463128181, 763366080, 675644857, 49118259, 181707296, 173682493, 472296127, 943706741, 29747313, 558205571, 807792471, 982469523, 888895550, 280095919, 144414826, 740024061, 631268064, 31842639, 999662811, 904213138, 645597386, 735455498, 209235993, 523365218, 417389799, 941544742, 252333819, 185641133, 938751612, 48138381, 849423651, 615717270, 2528872, 606351833, 785380885, 304178513, 662371401, 480196532, 563714740, 739705873, 943301552, 602357327, 878528257, 762921713, 17708275, 243739161, 171636480, 999300979, 447987337, 238991707, 10539946, 562478844, 366022264, 687376929, 884552468, 754708236, 912344342, 631222881, 516431503, 45942841, 80177411, 730335104, 310585447, 492159536, 516981549, 717136469, 156586399, 279035673, 783180725, 299713497, 239655709, 14786469, 893392982, 609532634, 737883707, 263941297, 154174705, 747787579, 849656058, 881531169, 523800979, 97740276, 283304360, 159585456, 603217453, 84257009, 300264051, 272475898, 367033472, 890265714, 549288198, 772885318, 416489615, 982567727, 633876378, 468248495, 216975175, 136262387, 368690762, 493878769, 837756443, 668695019, 416105972, 697430960, 960926588, 535652424, 829384200, 444816866, 841672778, 920953051, 738844667, 28595855, 737823458, 523246641, 157547106, 401625148, 107879701, 296899301, 305812732, 803464919, 83104665, 726143838, 249524492, 98356338, 518017985, 480597985, 83982020, 740865235, 34082604, 188508559, 940331458, 347856047, 597322723, 871172084, 186111641, 57461295, 985992109, 649054792, 987894440, 121307412, 584984779, 282109077, 50331366, 814639378, 607417699, 797430778, 1058819, 843180137, 664040153, 221862435, 968683063, 225633120, 210548545, 166157141, 353764242, 892969953, 676725262, 245653305, 213287393, 120066203, 941592634, 715938171, 639963546, 721581934, 575728008, 557068999, 623995712, 963809622, 316467968, 417254522, 42278312, 429658844, 510840518, 173329206, 169456487, 804795272, 832127929, 65810408, 856518700, 507775275, 861007118, 409048664, 819567372, 160505175, 374763342, 923211881, 680275763, 297273889, 683410323, 349001992, 638717036, 75153625, 602548323, 14741048, 30582010, 579131825, 957811148, 614562951, 861682289, 660431911, 177982955, 652015059, 778192330, 641476241, 230878512, 980570989, 823149, 185753908, 757891053, 201645271, 136045480, 894766834, 927187040, 229459753, 287199854, 215824438, 458400491, 177298367, 64705957, 187260203, 730575853, 475026459, 910487868, 865755568, 430234683, 640178423, 249273473, 810452768, 930179087, 644627278, 378830354, 193259653, 243772523, 583534284, 787210757, 445383178, 25685025, 481432463, 345962351, 9190545, 240614507, 979847697, 928153083, 27359590, 488477314, 322489045, 68587082, 190285529, 206060136, 25183306, 311648274, 451628438, 854554284, 774038386, 688570847, 440233028, 354666620, 874809860, 56961400, 79834666, 246831228, 594134244, 413411021, 251102180, 703418987, 408391475, 123011697, 283637015, 657947859, 600746510, 416678228, 107822035, 279018423, 954550049, 482560537, 75811712, 147565199, 460859713, 708982326, 288755090, 341282562, 929467208, 805445805, 970670161, 434457307, 765368298, 796151554, 534155176, 293076276, 875800008, 497764664, 928827517, 221354076, 302483171, 724851675, 975172556, 447527932, 510158851, 557024194, 947725099, 498429246, 583050761, 214366268, 214773247, 747090352, 974290543, 374419351, 859927140, 24045668, 780352394, 173057938, 10498764, 152777800, 7844111, 43085717, 739526774, 666132624, 702673658, 957430420, 181894542, 537498439, 590260381, 857552061, 84064351, 225981968, 20217064, 62594820, 763813892, 991616215, 469784560, 327880345, 466834111, 868702891, 827822198, 813673464, 196020146, 333671578, 374290142, 246983095, 912150970, 484232596, 814708586, 631381914, 781286449, 381380822, 387700786, 304635540, 81043707, 232831261, 246190564, 600322547, 833441179, 513675274, 50890338, 254793680, 286115509, 219306535, 627854703, 480785920, 527597728, 489848799, 196049659, 712649370, 994301970, 227708729, 70015627, 669296040, 707749805, 680209734, 247597089, 485871854, 566226000, 558326192, 263399944, 133187913, 735589778, 836873548, 995883365, 228415791, 672218552, 36855774, 252964051, 970863793, 303097268, 394947798, 799487543, 357409701, 214958741, 40161183, 915628194, 74766847, 115871839, 605784334, 360649669, 214610502, 878840343, 938036402, 996776324, 985214436, 447274438, 849828214, 646850957, 815054348, 913412805, 734587898, 310066171, 887590613, 64486114, 587892022, 617564425, 339872591, 962776779, 541882791, 7811216, 303985327, 720473073, 872536419, 333160468, 526186826, 154405307, 220450032, 810843246, 769622606, 662053066, 936535133, 501101019, 716658374, 124407954, 489799089, 688810166, 475762460, 984056555, 232724666, 513104465, 566918310, 216886041, 784121606, 263337931, 563401748, 88057169, 783152413, 136278278, 60545538, 279493384, 67848431, 628970480, 80422784, 668673172, 952570847, 329147601, 608371001, 40171099, 101263523, 949414005, 838882185, 573464640, 913954502, 264477261, 651042643, 851338352, 989423919, 517178592, 750296087, 101168766, 841545322, 262593476, 503877813, 25113448, 970990514, 520236493, 93167908, 550763532, 339145020, 409635705, 726997377, 598051813, 351795997, 145333015, 550859864, 205128740, 797633888, 706853469, 703272855, 877115521, 700797112, 274758313, 449058010, 575893836, 282656675, 975334060, 320941533, 511194773, 894534591, 445828646, 713249419, 414650708, 559143706, 998160648, 327322320, 806413689, 550021368, 858849018, 598738894, 639054255, 895513264, 471099497, 89951434, 374670405, 774905755, 185379680, 367065075, 253648061, 748429239, 196120237, 32590725, 384558039, 440545357, 580940746, 630614721, 244927136, 413376052, 595665197, 320682122, 245164188, 215172560, 713320797, 172185151, 303743554, 416890457, 308504989, 31308922, 964610082, 894582476, 538240752, 504596225, 544380627, 753245640, 679285428, 192841047, 328319048, 471300935, 580269789, 582618550, 614477795, 562457858, 474694021, 592270769, 561298353, 732723875, 928485139, 686808874, 472763824, 889369834, 68246615, 783504164, 544001540, 999121700, 611668958, 980407129, 696912049, 692426293, 727029910, 620292887, 395534924, 202280495, 777199456, 875582463, 284103922, 187076981, 847749567, 903065302, 741389899, 675971289, 140499299, 178811635, 27263421, 800867847, 395145116, 66798157, 388091650, 901694029, 747090245, 884788794, 256490631, 587074545, 841331675, 611261404, 974902841, 332553842, 304821864, 407193435, 92485845, 877929591, 21312148, 112591880, 968892212, 534385952, 149530684, 580956619, 155772074, 40955697, 293393657, 904948797, 902807352, 199939913, 286839295, 140609466, 277521932, 648955807, 164383622, 175273617, 899213625, 442115655, 981699674, 786997128, 901452715, 163949297, 114201349, 243084218, 661245076, 365255861, 521650014, 389861975, 747134740, 907567432, 274264618, 506168907, 205894289, 676111593, 951680724, 406294868, 95827805, 936785955, 369662663, 917770106, 49631711, 210562725, 291161228, 322529256, 68666709, 942503192, 279012452, 735474489, 146417506, 901835647, 109696432, 632863083, 528116008, 10058212, 172614010, 407366770, 66389818, 170840603, 815986284, 521940212, 493671002, 186397384, 145869243, 972613097, 905207863, 96180957, 948906738, 105921375, 221585447, 544900304, 559123203, 49241133, 857207710, 915389351, 115757980, 504534196, 787465838, 644243874, 575056843, 528231467, 733936998, 153318519, 502604972, 718464293, 990149086, 33718640, 71948038, 401355033, 446925541, 162535291, 523114236, 926050596, 708440631, 604032815, 3312113, 895048623, 519008014, 75841816, 779131225, 396137160, 725362378, 996496845, 400036795, 169293920, 683054123, 359227360, 85389716, 571034589, 615555882, 827830688, 182318708, 63399022, 332486621, 938964666, 881218816, 716744192, 752372862, 152769088, 906431751, 623505706, 713150913, 110838280, 823473128, 236542472, 727789958, 626274357, 207930456, 775550228, 476419691, 151146679, 264757778, 203718402, 936597025, 540756823, 782072955, 937144945, 365137980, 515106445, 504703831, 782174015, 157333309, 997883927, 600818982, 338026534, 972567221, 254343502, 972496774, 147622321, 543032696, 148210846, 277387706, 26962444, 513439796, 815592025, 883089626, 340461306, 765187354, 25139628, 612981934, 869478335, 507251691, 458783783, 861613890, 150071039, 573365217, 687461510, 215147668, 569336016, 427755545, 120804340, 533602702, 257880606, 243825301, 425820188, 179996808, 159919222, 20773746, 750896606, 372473346, 443905558, 52777096, 925398106, 892602974, 536550792, 249072124, 463887921, 116336059, 966932366, 394536789, 115152217, 621929932, 523952786, 937215616, 72167527, 815891789, 366616322, 920045664, 578952860, 386555747, 174100613, 961484460, 267810332, 218633879, 580426562, 474526585, 858973969, 991953836, 73856924, 69085101, 52172530, 489771390, 896374852, 289779283, 853412581, 718522450, 520611553, 695392959, 524927187, 266253283, 393774699, 9080756, 303950250, 315276286, 392660410, 793886181, 862737991, 915928469, 697369425, 709689661, 251142924, 544437917, 324752238, 724809701, 302711667, 96504055, 891618427, 541560475, 459756736, 87683218, 322040373, 556934819, 460208498, 121367180, 274436394, 923802581, 315894119, 911681164, 852039935, 415704813, 325863300, 145788204, 298194353, 14300437, 209301065, 92486953, 221926363, 376872637, 782268162, 783620029, 101516993, 114608700, 613316652, 543172300, 672120730, 227231114, 896387252, 321718411, 122372962, 868200118, 916929641, 921218032, 594525672, 990653493, 292502085, 471659254, 158821416, 674924857, 176098528, 5175459, 878139168, 218453250, 787396854, 657975744, 113209817, 57706219, 126730029, 66263753, 893482064, 14339412, 854342145, 749741683, 281497213, 347677813, 850597458, 793919412, 499514872, 628261312, 939449384, 774419275, 545705863, 577541435, 582302412, 578906638, 324910212, 406421100, 736929734, 154004361, 838352800, 602222541, 44999859, 721906311, 123033182, 597119224, 396371507, 397905732, 685016360, 577840816, 904741822, 377776228, 610002988, 686704251, 574613800, 270442545, 967698632, 237152043, 869394488, 470755564, 983694315, 977648085, 612378323, 152162844, 368507384, 470092530, 702130803, 783561003, 682423981, 87702812, 9884061, 580678054, 521402089, 150050715, 717689080, 717854976, 768800254, 373778234, 663187426, 690523948, 358780099, 267218371, 122410794, 875357658, 885209429, 641043613, 765854306, 707530278, 754398286, 164008949, 233311813, 164482382, 241030046, 92179998, 105190978, 346985157, 492611435, 14060941, 582548250, 683260302, 698363934, 249195810, 458725556, 887742027, 959735645, 58424727, 960119504, 913848988, 431068902, 155733623, 420228147, 732933102, 906437447, 226762676, 914815038, 78522387, 401016415, 430479404, 373994386, 180166242, 460678565, 491282562, 583592933, 661497927, 272697030, 615462830, 818480692, 157704423, 454038021, 322646299, 939726426, 760537471, 952217740, 900432681, 221587439, 63955070, 916476614, 927518966, 125576432, 494816959, 663352124, 949480835, 481215781, 319882571, 596489643, 554480587, 153754651, 185007264, 146757568, 362250926, 893069636, 972186061, 466464713, 625199848, 252752498, 683513777, 505049176, 143577523, 520882855, 997345766, 179647677, 397433222, 849468779, 643395641, 553193530, 691351450, 923553326, 164205768, 736900198, 539899796, 812700836, 126546022, 355774824, 341328201, 453080677, 438912389, 400828783, 814377781, 36357777, 972777442, 847438580, 444090785, 321509903, 102932533, 859233003, 145940239, 626627904, 490250368, 874016922, 136325156, 26378559, 748244880, 749560048, 534475657, 931425758, 509463716, 107830810, 639200610, 260451225, 637324055, 186486243, 712276447, 549838179, 730799376, 484246655, 405387636, 945312860, 48950903, 243460697, 449010103, 73228044, 79440741, 619603598, 407485317, 651543679, 604192861, 180511088, 684644061, 521482947, 129294089, 275683493, 840792922, 580366969, 713151468, 401846047, 508162869, 770462477, 189707571, 492461183, 577821626, 899892721, 30267051, 792225991, 255958816, 484689854, 98018887, 441240377, 689787753, 76474737, 854806007, 409202531, 267247422, 103744926, 360928176, 79695443, 20597184, 682738919, 727206361, 640426987, 912022283, 944990728, 362948979, 371905153, 130127062, 925722970, 675624472, 237203198, 228470782, 738842112, 657619066, 482651728, 370957879, 80500014, 542905792, 824079230, 798176829, 870830864, 293636709, 533943409, 310858390, 292358384, 101712724, 813946829, 43182054, 334645815, 253921347, 942606446, 31442838, 475249830, 395062553, 83808451, 874530548, 498613552, 165461583, 819224926, 550688932, 501715316, 554837534, 820093269, 784122504, 255424812, 1081882, 804341490, 418979129, 29838670, 169714352, 995418081, 710699504, 247231126, 654252158, 406640353, 5954554, 899066316, 188410451, 988950482, 768183224, 763118680, 584894479, 594197625, 716387422, 604824289, 680159355, 306774317, 308761125, 725817718, 758909232, 858954661, 218339602, 968051836, 839776100, 274452600, 406683013, 577563758, 928071352, 457812644, 254507290, 597683907, 4010325, 454416665, 804849713, 770576076, 458607821, 249457011, 847069905, 431474968, 235307613, 833740754, 132015845, 205074981, 528944081, 94072284, 792771999, 244560380, 962495000, 456768040, 95224687, 724089935, 744385253, 975845938, 921764592, 928414002, 181447977, 845669950, 292953684, 342900506, 988039705, 791226290, 225846072, 704725754, 375635333, 689890795, 376413002, 919756731, 1839982, 224106705, 823079071, 375528286, 571443726, 131510099, 742937864, 990822229, 685889689, 410171494, 804674773, 364003534, 639186181, 452339637, 49223137, 113922173, 819679946, 218040538, 883322995, 782796703, 57154167, 732323014, 971562992, 213660041, 378742683, 918247605, 958875567, 3495003, 401805931, 212498444, 34134670, 908287997, 411002023, 451491166, 538882614, 549001309, 574267416, 349091693, 624635886, 216995349, 477606345, 160521636, 195612595, 902478083, 661096349, 607875922, 486998155, 662128699, 254327615, 450760543, 416060934, 501672355, 66997675, 142337022, 361788685, 180167815, 28852057, 700045886, 344098297, 930179918, 425376569, 146104427, 696798801, 146772764, 517999871, 34879348, 548182546, 34146834, 691758497, 50848326, 433993386, 868545534, 487297434, 499753551, 23904451, 257485803, 857755558, 827592947, 80301637, 468280797, 377375348, 975827562, 986593419, 483659910, 816580871, 996402484, 957662681, 217017618, 284899511, 360769730, 784760225, 609867027, 768303477, 465644257, 767929942, 169999437, 663635048, 681341151, 703192969, 248469762, 601669017, 924963870, 601310460, 961634780, 744962727, 9823178, 652984889, 412086197, 567215957, 667180649, 839845953, 981929622, 18592808, 410750525, 161533608, 556851708, 326454362, 971755456, 980806772, 821759082, 624520118, 406943131, 16204871, 732047681, 129389687, 170524272, 184243024, 129042299, 980825801, 617574143, 935893611, 989347277, 820031986, 630985553, 645402579, 538419871, 812365107, 417580094, 44437385, 11895061, 338332760, 276344423, 740060895, 906005832, 991295653, 575442355, 252677775, 388951234, 855886537, 323767990, 570721040, 766631751, 931326393, 994988010, 471186498, 678987620, 570662059, 967535714, 774247009, 729203800, 15033759, 222075846, 277743892, 512347825, 924498761, 60635466, 835933821, 147052004, 777241745, 44854682, 440154871, 24690496, 233738584, 56308577, 598007086, 963814576, 561719994, 818672972, 780569219, 564241230, 689263344, 668008912, 790557134, 806786815, 28588306, 295365233, 119238593, 147915534, 639803943, 841289049, 447205977, 226912415, 105515054, 41235325, 805913791, 349872414, 150993643, 53677628, 361870764, 893255497, 268701280, 910184408, 88803822, 259125827, 891916340, 642511329, 319813050, 794116009, 301694523, 600751248, 211125843, 784055521, 971299574, 636836323, 867626206, 493576363, 443582901, 186877774, 136524037, 243076189, 22973421, 200676866, 328692513, 420508317, 451373669, 160301946, 349471833, 966657640, 962719709, 874989659, 280676244, 920104613, 159001571, 42580632, 168151822, 278662634, 55401924, 138104133, 626433971, 496354767, 103772982, 32285699, 586273910, 571133272, 506497659, 380909199, 703333945, 528523985, 872532356, 469855684, 161160737, 94940528, 909625591, 815645282, 965983354, 693463067, 61975531, 147449717, 338790683, 343964729, 516945226, 518102604, 431322663, 720800910, 15118579, 815503891, 184138894, 69778478, 100864742, 689329746, 939551956, 946151636, 775326698, 310364574, 368539007, 459961408, 172638014, 629486367, 37316388, 323483178, 309419569, 263866543, 300112668, 993212917, 311331533, 348689239, 831344165, 199659349, 3129267, 51309861, 741499058, 111994286, 300925606, 786444082, 971562325, 265159696, 358667389, 487148100, 225955226, 440434595, 285239998, 792057782, 82848978, 171504470, 218454092, 616540252, 379268562, 588336457, 998007040, 226384480, 638257244, 80076913, 176947599, 470967767, 477790323, 924013282, 457524220, 336388565, 849970676, 193820907, 357919452, 785214207, 893567055, 720163328, 285229595, 175140092, 283853122, 628750529, 174123081, 861571311, 357976802, 257864974, 777615348, 569793544, 98070929, 676988906, 970394269, 998528423, 920311700, 548863396, 571481906, 30031208, 48162182, 315370888, 163987457, 488670509, 798059948, 590095690, 602425902, 572145445, 54583146, 352670036, 71458305, 524384731, 419882720, 627645908, 500674250, 411438206, 315487110, 347926083, 350553012, 812909793, 424702408, 745527501, 385533634, 650198382, 585910632, 203800018, 678341767, 315924129, 470275672, 374076421, 438390347, 192311479, 293429756, 846100744, 484992012, 79219228, 948593872, 148208407, 541661350, 383950217, 117767843, 267981443, 359546755, 510694585, 18652205, 915974379, 340016967, 316856932, 437087477, 440423998, 169573632, 252707841, 106889569, 243442399, 329472778, 728138703, 789657403, 198742171, 263431290, 601107140, 252565080, 267854602, 564648396, 362616408, 210691155, 350601392, 983130132, 453268996, 866306649, 336528819, 667061855, 205525074, 416068902, 72582702, 660370770, 21602478, 753978849, 214325740, 631993153, 13848952, 996994544, 124881499, 513808143, 462036449, 950411648, 938909904, 956914538, 401882325, 669815741, 442411536, 118477579, 782681610, 496799526, 259084482, 960603022, 8907660, 785510435, 280199889, 660974826, 391337252, 749431530, 996809580, 79583184, 735831170, 538699411, 3986019, 636863483, 607328870, 688231029, 731941397, 561263428, 923145536, 441266641, 397923396, 557841264, 564647729, 489836187, 185622162, 196538638, 902101049, 157556786, 312756430, 581287801, 905420444, 490683697, 280310144, 257071399, 788487953, 580841493, 580083473, 184913948, 469132892, 689726950, 247317255, 673386147, 933323572, 649976355, 582460493, 932776911, 978146704, 808566567, 131029178, 389151934, 377068530, 199725285, 401619154, 42900393, 445950256, 401021112, 670501212, 732136025, 291004243, 4280844, 144352032, 478437570, 136163062, 22439260, 738144182, 931008168, 632395809, 132860274, 271756303, 450485010, 430172904, 388951162, 916914248, 347124586, 30112647, 48430589, 549341266, 904671958, 325320312, 187505977, 847544548, 592423680, 161520612, 581247334, 622935983, 784235700, 130701899, 859397094, 420304286, 840548713, 851906099, 847825628, 558690474, 610894224, 409971589, 248449143, 753602440, 514229638, 875473387, 496771298, 238457611, 45913475, 705483282, 109035065, 812219169, 82945314, 686587182, 486315004, 515341846, 216430206, 371476833, 111020143, 987820446, 791638954, 189922730, 22289530, 504207376, 870289042, 522679937, 867944916, 241391437, 834340588, 335012142, 262910187, 734266063, 206172810, 426335011, 119983324, 174942817, 962253968, 561241667, 171284412, 636491079, 357164637, 757989294, 960188280, 297065958, 959613695, 366715119, 480805495, 680886198, 108434486, 658315368, 580781234, 298961435, 819648743, 448396682, 191769405, 413070021, 338450512, 793560713, 429350602, 5953061, 941928046, 986034853, 439545101, 964065261, 716612277, 582886884, 66263778, 391684569, 528441565, 922878964, 2368064, 847605978, 42857652, 656572241, 178917208, 819134315, 94677158, 77002932, 350045529, 797949268, 282995595, 94995093, 210941196, 630012810, 344612556, 752579800, 603312683, 134802298, 729330124, 684517737, 449255516, 732221964, 293508036, 830984827, 385150800, 425460074, 478225360, 953499577, 146273966, 535693555, 344786213, 782594615, 103596855, 532758843, 34613721, 155606245, 630807778, 889977184, 727949107, 323956778, 390745971, 179413685, 79501805, 970192987, 817448127, 733513172, 248076636, 958838442, 947924997, 56893442, 909701229, 599283497, 682630601, 848320509, 501929787, 806692048, 52230183, 896284241, 912833243, 925609230, 932936646, 692440016, 301874917, 185843502, 181644767, 727983272, 192332519, 670580547, 724973757, 591182077, 268460855, 735353334, 904235917, 188317922, 888930327, 309973167, 735630348, 764771721, 193606761, 20257391, 160163731, 394112810, 292556318, 236168651, 163911726, 120772552, 103920549, 973229692, 525147934, 887349451, 529528346, 681690824, 114054868, 701527180, 656479372, 47211740, 741707115, 667820215, 595062964, 134087781, 855107355, 976735985, 743817889, 222642477, 243084474, 269817752, 442614723, 685444912, 386159202, 682847519, 969327149, 643072027, 39613122, 329364727, 232843747, 444298841, 967209354, 641040939, 153142999, 498123212, 428851597, 849405915, 440639129, 871117178, 123596374, 81346658, 596215404, 906809881, 750479568, 567423275, 428882919, 544165548, 381462852, 26193817, 959211050, 212308337, 582721686, 195377886, 762519256, 31797886, 229761351, 647752443, 137400388, 711254972, 203521234, 874425518, 239562455, 947730476, 782944731, 174336441, 677112082, 97896315, 188683074, 995286011, 96243316, 366262804, 638476876, 413083525, 35070240, 983217102, 132945753, 176218134, 324538820, 469584297, 452525437, 285552678, 428454109, 249897492, 302435334, 942682025, 96680475, 628200075, 625315780, 323819912, 678361023, 471787648, 328490738, 287017865, 766087988, 104027778, 108620917, 549973126, 618670330, 684525546, 336399626, 817890626, 945553112, 546826216, 854261902, 213992804, 682834780, 227463102, 585275290, 603586903, 651670470, 947771924, 117214732, 518661633, 183387238, 248633075, 708735526, 562836699, 263981144, 564995479, 392835919, 656309098, 749484942, 989728035, 376119257, 962953474, 537921204, 281854422, 427358976, 966975887, 798653632, 532681544, 681364101, 721792974, 140288494, 502219879, 347902674, 559097166, 358783724, 709031787, 714634975, 956991303, 736448743, 312927464, 485319514, 563809517, 926212704, 778041080, 149258548, 874929181, 668642067, 234384280, 728838419, 103680275, 397840246, 984156124, 661898714, 796767660, 145421386, 839082528, 114697275, 180154324, 814022372, 312263593, 755598747, 147623557, 16294144, 213960942, 545488542, 313286999, 316314685, 155297346, 13783134, 535429706, 708444258, 93717437, 760755940, 880601217, 916921836, 175871975, 724729278, 637843082, 544964304, 814581098, 216771338, 601826716, 598466968, 453646955, 565333411, 463808592, 605619067, 79120383, 109341503, 920539882, 40448815, 264943981, 964941306, 535840515, 703724999, 392781304, 988846519, 146880848, 581516940, 461266736, 991942970, 351330773, 697310691, 275606735, 458196520, 538229558, 837311516, 320157928, 563841407, 443067420, 790259551, 937906063, 7734929, 629418218, 739972635, 253901870, 183927010, 594572049, 728960919, 374361201, 840045557, 481619677, 273079652, 2350465, 435355504, 83955938, 643126125, 803640365, 803729988, 623422534, 267249059, 26857414, 553460825, 524688064, 624494055, 95881198, 925034096, 2162590, 748495905, 810877147, 837111984, 132060726, 671523574, 201777605, 734685911, 324222066, 136012495, 745040898, 361327749, 712032021, 842382115, 235854152, 359031475, 386863477, 866670761, 235885664, 552572804, 657718486, 636140542, 929971793, 549125356, 655924750, 189815157, 846139984, 119076093, 146136363, 718109164, 199851215, 548904570, 917872396, 148761533, 612515835, 840088362, 420294069, 687144102, 395852367, 930249590, 359331082, 153013724, 810582189, 449456506, 255615884, 851499307, 300133549, 232994488, 600441166, 559242926, 953890971, 992881096, 651532658, 697194348, 861022377, 141951983, 715556227, 608870981, 822163138, 282846174, 309699916, 748617148, 825019626, 120516327, 547514923, 603699724, 499746069, 187287594, 796048187, 612887460, 246424092, 995999823, 225459940, 83960964, 758501974, 618085698, 544264334, 737887618, 63079131, 313131524, 453601555, 699137881, 580843061, 133225620, 71056546, 705450987, 754601523, 185556287, 295904860, 329592280, 225944404, 217627313, 371596510, 417268664, 700900190, 312972669, 903298303, 828271073, 559088294, 231974096, 344725102, 125767321, 528663412, 869516935, 943491247, 682127376, 306784321, 235294015, 301436899, 269292283, 816555679, 818126727, 393584521, 954516685, 344308938, 691826372, 278811066, 323303841, 332696304, 264936089, 488226740, 537166370, 724505685, 864681293, 988496260, 156143476, 597599288, 983070127, 581904290, 466934858, 364036565, 278930480, 926994905, 703371818, 772030825, 291619437, 419033482, 855161445, 299000591, 206283340, 960010587, 964323976, 989838508, 363854560, 596777835, 380853670, 366039001, 790439445, 935594359, 271674448, 230202471, 356539077, 245939830, 291836878, 709083562, 827374318, 467936050, 974766537, 899956474, 245152841, 134424980, 736463811, 746016845, 83795152, 789487271, 700611465, 646641584, 259346301, 362747979, 684366287, 51027934, 895278873, 481643936, 414101397, 931723679, 749222736, 251404085, 145667451, 707808044, 182242583, 141134924, 991902258, 77114999, 118980938, 842411594, 381208299, 231692597, 451232892, 912310119, 739076790, 341406312, 502643091, 155839684, 790200132, 370367613, 108957014, 102705540, 875568064, 588967951, 645400124, 845748347, 124346572, 201849797, 879850709, 60638398, 707878279, 633573623, 387949453, 589407593, 399939845, 340223721, 95958947, 798133771, 123577506, 690181918, 204689593, 723775556, 912655457, 675418641, 122373652, 342538857, 381045431, 210575632, 842829131, 289371934, 834062245, 87043014, 200804860, 642849830, 567598452, 152815598, 459440899, 237530418, 674542604, 956067033, 38367871, 905619929, 631789795, 282780494, 869335178, 900012177, 818885498, 224157346, 238512723, 52167014, 70098021, 900131785, 652237166, 142393312, 967410949, 48852687, 549505062, 151315131, 68107520, 481137284, 954372332, 349869726, 428867625, 661640439, 988392345, 562477770, 471393170, 590252585, 228283375, 882605925, 830431892, 56890864, 168720210, 67310399, 685321690, 231948257, 86815193, 351832357, 797204161, 306207862, 328799709, 280990138, 875638044, 903264057, 209458804, 612555855, 979321801, 111855627, 619822053, 248120975, 559092919, 703083443, 51404116, 161811033, 223545428, 401506770, 378865307, 804471811, 697678865, 894828203, 155496351, 809953324, 960051295, 509918443, 563499961, 384296715, 499056058, 774329241, 783285144, 569217708, 819543058, 21200376, 729790186, 959570454, 867112589, 317749624, 256766039, 980091400, 406701926, 838098067, 461138118, 676348862, 215072648, 625298807, 405887456, 612803826, 975445130, 746688059, 278737402, 701864808, 166514608, 896654911, 821765968, 525342111, 774106881, 235920200, 325168445, 700692214, 48332305, 160900224, 413821769, 439197063, 896268668, 811703619, 37660191, 393699640, 463788166, 617838295, 358278376, 798780230, 810650097, 720768406, 253191197, 743693715, 757890924, 32278360, 178775255, 286534826, 639642998, 61596883, 649262900, 618602688, 731365106, 446542385, 549782976, 614246769, 742633799, 870879290, 387598235, 821561904, 622268470, 555922322, 425016015, 178527934, 529314711, 189222790, 343391814, 742601893, 48855808, 834439768, 738259912, 986824397, 44205841, 465282457, 362436617, 281557170, 697252055, 421622548, 793275891, 472121631, 729724370, 113334202, 172107389, 945774381, 80163070, 659737062, 452243356, 741304242, 557020488, 25998478, 445754513, 843321643, 142655784, 926691461, 956266541, 299200232, 325041263, 582963906, 182884428, 810208714, 776663497, 935796134, 246794724, 753957204, 878846825, 605702752, 492279222, 514118294, 434581593, 307023033, 828379793, 863497756, 980708014, 307150294, 911378286, 751505071, 665564608, 263964219, 237983645, 440132621, 670225984, 833912890, 524153067, 554516693, 703913003, 375427253, 205811627, 711783980, 267010959, 255321173, 920653275, 678343582, 471694598, 917324156, 642458584, 43941735, 486824068, 208768226, 494618621, 808674675, 966711433, 531185651, 252954246, 496252267, 943661490, 540824821, 891995746, 597152184, 251646910, 778651072, 551825246, 231105659, 596865601, 274733551, 429630594, 320866759, 427879147, 412398869, 71647561, 748208189, 157662435, 872492150, 851710541, 919755601, 196422947, 819099367, 849479766, 221853201, 282854892, 774145641, 112487324, 126044274, 787461569, 112445786, 476172515, 443450430, 508778771, 5395576, 772173898, 21910541, 124237776, 180203760, 314337557, 744528824, 637484454, 8702526, 562019173, 173531669, 347089809, 321561942, 704271528, 965129958, 527464356, 465609029, 883248213, 41728750, 273360639, 149351226, 686622141, 842813077, 512184982, 18022676, 833705669, 39758546, 472058205, 182954011, 944480471, 599202214, 411924464, 722367505, 477484445, 88572130, 996774307, 908728271, 955738218, 322769162, 158627028, 473591086, 995793318, 631779904, 245479192, 278051091, 371823437, 566022223, 457146103, 535755660, 448174498, 280352182, 68680985, 730835832, 135910580, 387227277, 875288473, 443489763, 872466314, 923362864, 598554013, 409025615, 353050524, 257698493, 18631209, 900098477, 651152100, 364598234, 915113325, 478937968, 961732421, 406552237, 964167033, 203316272, 974350904, 523570237, 401100451, 438133214, 470177957, 686792903, 155498072, 738550700, 753626332, 853876646, 750451198, 962348170, 826185480, 734782443, 560061063, 575826394, 823818562, 717979669, 84388530, 951398669, 883458798, 226832531, 620795519, 92525922, 108589328, 843355577, 650157608, 520909801, 655283859, 305787552, 375750882, 28722234, 605010248, 449110059, 447652199, 793646031, 563131306, 971666324, 652448576, 376880295, 788743601, 735468533, 31965161, 310835020, 838042887, 925753086, 960112390, 545636609, 483477384, 761412924, 647930495, 422924217, 534777769, 357689055, 362449103, 680323028, 830205766, 590466975, 961173972, 659629864, 577257930, 181635739, 723387461, 614772090, 114533602, 224753571, 798622135, 665797216, 469430367, 888315891, 137048142, 387441032, 791558534, 158618858, 724555995, 829899136, 118945686, 408346658, 66074953, 836198994, 200733677, 990058841, 977021988, 645597388, 432968258, 602367819, 70608267, 85198549, 429248497, 515499713, 264751801, 829430041, 247121299, 560448993, 335526998, 552800864, 56619218, 126128790, 333810257, 834598653, 673858949, 917703774, 490596899, 597851871, 949283412, 375560421, 852190511, 110031150, 777373336, 573910543, 623960704, 317057846, 761329138, 898886450, 586190734, 368970180, 93611430, 49463570, 584113656, 48581324, 498627749, 625553709, 337168010, 635562267, 827020488, 366124443, 269775528, 996406510, 121939195, 155654252, 945666556, 653271735, 703643132, 375171106, 344743950, 32766206, 220872711, 847373337, 77796023, 851662626, 690615951, 165062786, 285135414, 47560482, 232866427, 600653309, 610921009, 946608452, 370659752, 299790833, 556797077, 317392431, 728996921, 882039312, 812101131, 541300161, 91291937, 989542177, 397362663, 973531403, 585584450, 981982480, 316039418, 662551037, 226915103, 203312039, 143976765, 701906082, 444690820, 802868661, 396580790, 479768532, 131383596, 371185447, 879643865, 130426830, 260811502, 448547222, 922420153, 383368891, 758309537, 40083386, 785278508, 617301368, 535537491, 117875822, 193695507, 124504197, 990371664, 49468839, 707942762, 256810044, 593974449, 233599970, 31655224, 904044611, 906498658, 617446460, 625281483, 89528403, 53993303, 926473334, 814352834, 654304568, 648489131, 737846091, 738205639, 296718864, 44141185, 650029042, 902426598, 866500627, 129073753, 321274121, 246275242, 441183119, 565390718, 705057017, 402143260, 755711259, 765500561, 974247985, 232362235, 945257581, 573646992, 675480090, 48897954, 966969220, 539643045, 125642860, 967919172, 177385483, 264547766, 448730589, 733759180, 100479216, 962184608, 449324466, 527173438, 620232651, 1044952, 874791617, 799175430, 898296760, 220025969, 747480294, 828226551, 659770121, 985165667, 916201836, 227931653, 770252648, 93338716, 72106530, 663457739, 891661893, 178804041, 412580526, 973077257, 650521984, 316426544, 853350714, 907065887, 705009272, 316153240, 992177255, 992846158, 771923063, 900470907, 493143686, 243324252, 24066574, 202750130, 40908373, 313466710, 803559886, 481696294, 686598392, 892411813, 450625766, 470761109, 113762999, 246395466, 352718947, 647615773, 947930311, 140405987, 341230165, 782699586, 395590923, 897340652, 276748572, 159229100, 563231986, 306441809, 951344915, 963418938, 858735686, 284719727, 25037538, 39519376, 328287270, 669581793, 340974699, 408799646, 237651490, 499872735, 391283659, 188930278, 14579922, 436349321, 39741399, 219903454, 316386652, 790332018, 496992050, 470225844, 392107810, 542286639, 683503552, 332990074, 501545268, 797877595, 851307077, 191451209, 593189406, 976476183, 918321591, 340620296, 558449182, 302661099, 582112417, 844539054, 352913972, 853947180, 681440402, 480309828, 312390779, 784437523, 845403649, 915154630, 41737835, 418090345, 906117797, 349325996, 610038593, 724067955, 356683495, 993853901, 462716332, 148537044, 73972169, 55868155, 203298394, 906864604, 916946577, 815084987, 353891572, 906977314, 782787956, 938121265, 133361503, 472549069, 652414305, 974730419, 426577822, 692131182, 216483115, 33029046, 512325951, 762412000, 550037408, 250169400, 482454718, 924596609, 295013073, 252338038, 495012452, 895549135, 748123400, 816076489, 994413346, 781832298, 951782049, 317176914, 430667904, 191375258, 447442954, 365645416, 393784330, 181436151, 713216279, 980911505, 504089297, 65076019, 732200793, 74283652, 489241661, 969314584, 31956688, 842248434, 812446840, 368730011, 448106162, 847435078, 549798870, 912049413, 324857159, 204461086, 97965855, 864245858, 946407091, 786731601, 187637036, 638243015, 547325436, 819807071, 470771042, 240526815, 659446570, 253216426, 529583416, 544137363, 678584562, 262948389, 813002202, 193256116, 709494303, 818194550, 321957140, 158070998, 401790555, 632402171, 405718294, 234198655, 449015725, 494852498, 434910352, 612575771, 196481955, 417211510, 52952574, 244013989, 304062532, 479964333, 846729316, 362553474, 428455502, 905540917, 466451311, 690422856, 347383216, 686096120, 166727250, 372543626, 803971123, 413072049, 744530051, 312646817, 651860642, 315617765, 198084912, 929952566, 676044212, 990101537, 846609042, 869201595, 491651700, 691213736, 177812976, 496589603, 3930285, 142498882, 351086654, 711706061, 513485816, 209016986, 198161565, 318175126, 358678168, 813550908, 791699733, 512842910, 761190592, 731977554, 101762387, 37165904, 563710129, 360917323, 771155987, 91700843, 333685346, 210741277, 351212133, 894445529, 990359789, 415394517, 709048551, 389320136, 897199670, 424202332, 902697222, 635339264, 213404382, 342834996, 730302689, 367146097, 841718042, 4313027, 806444681, 940519228, 979508489, 773507913, 599663776, 967439090, 629420342, 108327119, 35524987, 82559623, 717646284, 805656152, 123938029, 751486783, 89742755, 346532241, 375983428, 362705648, 656151728, 848359521, 960892428, 40268492, 724016588, 311541664, 924532927, 315322301, 46946254, 880835131, 725337175, 233766344, 747956046, 770317769, 933188723, 946460600, 864177419, 202009922, 272683751, 996809314, 404589018, 505837882, 400155825, 764075525, 500977568, 304999105, 54297704, 308255967, 437865517, 593531618, 895412304, 780615091, 68238547, 892242202, 383510860, 835955153, 288007681, 290077607, 725158530, 991253866, 293788780, 499353262, 276190170, 164662264, 814684918, 761601858, 797778622, 176538697, 485855967, 242199137, 922649146, 863508678, 978802026, 327919610, 26942222, 748722068, 124246020, 250811278, 72880381, 586980827, 920279872, 743185684, 440647170, 115741740, 276079905, 957864927, 774267402, 81995601, 432648533, 662176181, 963624365, 947057721, 654054611, 531487020, 719409054, 384158510, 579991564, 199667250, 776044571, 987282549, 649542720, 37020691, 295051253, 846724699, 359612190, 10653281, 637124217, 234492826, 540541846, 578177177, 517822507, 378166291, 867677699, 958440377, 965863764, 610905036, 584303209, 778017021, 240318797, 967976383, 248393477, 673311159, 535544123, 508829646, 947511145, 440416839, 398664266, 775721188, 17901182, 928525010, 822322956, 76724319, 623014478, 941705693, 693690529, 799833328, 288626941, 121536345, 29787496, 23272066, 913803437, 148025489, 506731940, 330899927, 936065945, 185207104, 81412404, 583456663, 92789617, 794426427, 554662868, 914244242, 641814454, 563110357, 521580857, 796274956, 17062014, 453680425, 825067718, 701019445, 488772760, 166482561, 845662949, 790848412, 607962624, 926785143, 100325840, 845605469, 536504365, 172738902, 950150836, 157103574, 624217053, 972972993, 229128307, 890024802, 99440111, 655833077, 272720878, 8001316, 386306681, 459407657, 206806525, 41044464, 504743238, 681902765, 551407904, 822265562, 119818230, 554751426, 872237620, 80765587, 526814195, 496555341, 362743275, 360166747, 362542046, 354383497, 210238766, 949475353, 116519027, 18026523, 141501759, 15744217, 483895806, 220949684, 91981485, 745007573, 816690628, 197997175, 679239484, 178139322, 17349598, 283982061, 969216171, 27927395, 908842560, 55970964, 66320655, 493289383, 51484036, 852337796, 461920546, 609830269, 706227887, 755299913, 316028802, 575294921, 237296973, 646033459, 954387313, 462794767, 938122610, 291992001, 179594118, 398210788, 572467529, 383985280, 522418100, 272067301, 214265724, 64405836, 716238503, 326584263, 959114841, 623204110, 957154855, 882436799, 564820758, 404911711, 948342613, 562074516, 187915643, 797667724, 286119742, 568673987, 199580791, 927453448, 820890341, 631624447, 411314520, 30920346, 155179461, 350791222, 503803958, 192577269, 481384043, 686254086, 559243539, 813885471, 555679068, 613294239, 955566132, 921243835, 555379746, 771984614, 619044282, 970100264, 631210990, 652446036, 581930927, 331033046, 987366180, 330874759, 962816051, 710078737, 459100782, 998577944, 109955824, 603549286, 452016882, 248992001, 907855893, 777689396, 220815425, 402526451, 971033199, 147585342, 269555788, 834701407, 16162240, 546823124, 630286757, 337582940, 349941940, 154747071, 119298487, 915857289, 190022260, 561795271, 553656373, 642416680, 319951043, 675516184, 946555758, 266939045, 144293774, 316645655, 436315339, 424686353, 509774882, 549240197, 202859084, 133531691, 393378295, 481901600, 368771988, 117382665, 810378115, 506524290, 690937952, 747441025, 386328964, 832528737, 342202166, 37409419, 559784531, 385545445, 717082393, 506362074, 118629356, 662734406, 132705240, 354586972, 69079272, 985016754, 488442277, 861389226, 616325334, 586913331, 897835779, 487999350, 696381688, 634577099, 627943557, 768398396, 368364344, 159548776, 368661906, 729559801, 652533871, 847380326, 537829281, 820589246, 735099440, 546023179, 770712513, 195096214, 51184676, 621271140, 77438003, 882970418, 85707975, 806947528, 253849811, 21737272, 584277278, 105047871, 778216078, 457377967, 367761904, 811455424, 897662859, 896918474, 953042559, 354996489, 6668198, 712435861, 313406227, 281123611, 872355882, 344591957, 387924436, 435208021, 284088565, 757485750, 428421091, 479725110, 435927011, 249390634, 828260862, 352897681, 691655779, 612760446, 557450231, 802356457, 150103935, 731250212, 621814512, 901783826, 759710384, 62099085, 497986814, 228689319, 693566725, 821415287, 609701179, 320669350, 901620111, 740576246, 892970886, 669029416, 282096076, 695132706, 614510480, 378360626, 413541925, 724723496, 94799794, 983704806, 778959870, 773072900, 645418474, 172206643, 496822157, 187570827, 636596108, 433258131, 693429919, 488058061, 305507874, 518749294, 504415133, 935823450, 864300094, 563827653, 702396493, 320403650, 153989627, 870023628, 279172692, 362036116, 843808498, 754112598, 835536626, 662973361, 926787260, 978833465, 370156026, 642846463, 612649586, 242945524, 324870280, 389294411, 91821006, 659346231, 568761778, 577646570, 668614049, 610191416, 801266223, 147325505, 202607579, 235877965, 521206449, 18072391, 491247920, 964209704, 871159144, 787595859, 470433385, 666756521, 111238272, 906974373, 619644987, 943309867, 971924635, 682491172, 610970958, 816464478, 551506153, 380296301, 845384560, 777178168, 627304729, 180782487, 257273385, 604623722, 549464867, 742955570, 140449242, 169698540, 939828557, 850804295, 874790260, 312562046, 239497357, 668948721, 673831269, 505813233, 854342981, 848276653, 78116846, 969973819, 187005413, 884876445, 786527118, 755741896, 975523179, 861218223, 72594163, 856342236, 955061670, 71671901, 593910759, 969252391, 962466252, 38276276, 633591851, 846019485, 23190085, 342341451, 612766864, 445533771, 265894038, 537389916, 166353085, 70005218, 863606089, 589031221, 482954853, 39851757, 471010607, 169118392, 467840606, 230535089, 384666057, 84948039, 566091314, 733625701, 243760688, 435349717, 967714962, 645221178, 463066682, 562759383, 525873423, 19386117, 725253617, 292729873, 918693485, 859835812, 787339212, 135322753, 699413896, 875357017, 175303933, 873464431, 300576286, 626326142, 397910744, 323942517, 300471274, 915629920, 21517828, 804960766, 791876703, 120572867, 873499367, 473882044, 987757669, 282881450, 95736448, 421292146, 714393695, 548569995, 376936567, 492453765, 480203167, 958575214, 349018917, 904050928, 163635792, 913991929, 975460601, 184743683, 736625113, 283011688, 150664529, 641802421, 497677548, 162207721, 468207625, 617276271, 971106208, 255731169, 37858198, 418024471, 865332320, 64177044, 536711568, 721723407, 547517058, 427782311, 513592727, 176914790, 953382157, 434835583, 503627301, 120568472, 823696867, 79104825, 625926819, 606348074, 921013876, 928090699, 703668918, 741217763, 648726166, 459005552, 193865966, 639402930, 391985929, 449265012, 918430314, 247871683, 526427781, 721251751, 575577921, 635735967, 160331015, 233239742, 414323421, 405041892, 423269481, 198896906, 794218155, 189728460, 870059533, 472499936, 305274527, 723668632, 955063944, 444927978, 671727165, 845825536, 661838267, 702583072, 128134689, 581116945, 578896201, 719162822, 864623712, 637926046, 649258254, 101257691, 882453998, 131309609, 179015066, 545450681, 514087456, 110801357, 312574922, 95844684, 974524591, 842610944, 451195769, 637728200, 837231725, 994849953, 115344083, 200931877, 693666554, 998179997, 943087158, 653619255, 584810700, 270750505, 35533163, 350605234, 824429397, 700395125, 610765952, 522958969, 250455713, 546099478, 732790117, 806679854, 370390324, 703127494, 605872653, 664916820, 697795677, 109285000, 12848291, 532125980, 930371759, 249008428, 504468020, 554182561, 152600045, 762724492, 521295193, 886043211, 276584874, 545862236, 341460909, 939995827, 421727484, 238783037, 603908067, 148336664, 924953064, 413346826, 472543538, 550008973, 440221293, 713306025, 690039055, 347809902, 132728802, 290599296, 366753108, 520884267, 577759492, 570052878, 58429172, 875302319, 824983291, 603667506, 685978649, 153547422, 695755808, 278672294, 778223620, 702153480, 154267155, 802710558, 834562236, 572544908, 820033270, 707853596, 929407866, 423996964, 638724431, 799301883, 445927712, 256211254, 45009795, 964602840, 614887086, 473764531, 837203556, 780870684, 198614492, 457100505, 118101105, 495015067, 404215164, 405963468, 879392327, 125063008, 337277397, 776761253, 387315726, 43255347, 289117850, 429721568, 833863090, 222855094, 733641616, 28916669, 654893178, 915685612, 790422521, 938926337, 711829846, 786695410, 199284649, 106983614, 785313535, 56824911, 666430714, 229034434, 867956206, 705437038, 311123410, 578238881, 625014416, 520587004, 28530274, 799492901, 519512425, 354354371, 359203934, 514037109, 579287066, 40980093, 798543539, 86417691, 623355981, 381866757, 922861308, 878081616, 504912285, 660888746, 118746150, 576676168, 206081698, 507473097, 584674059, 290605157, 491761076, 299110119, 9955174, 275454371, 392094021, 93319559, 223706189, 580266070, 908032828, 438271143, 428493344, 708933469, 20931259, 745337821, 52421785, 610288959, 71586602, 989659869, 342634610, 706586853, 631961315, 48986496, 312644007, 29766387, 834637363, 931945956, 460144696, 332035306, 786464081, 519715711, 140909116, 599066810, 525874842, 71173980, 407878913, 211554331, 636512351, 520133172, 873237549, 195016256, 976366731, 99996747, 67452709, 913600950, 257002624, 909637757, 567717873, 189602049, 885571169, 498002808, 168531706, 226972467, 582358104, 952602958, 957189485, 120601339, 647456831, 118376096, 822977980, 140262582, 478483929, 34894687, 952692666, 92611159, 339100333, 587067700, 694754188, 499023511, 398949014, 194530494, 503891134, 590144570, 886207477, 447895591, 456368129, 959528930, 33608168, 389718730, 808971229, 300743435, 868960284, 885760553, 510273656, 112921352, 778655718, 647806864, 456490073, 624096489, 646563031, 448403357, 929520491, 891166314, 609350543, 728330103, 278876507, 725933572, 100835178, 657142542, 450272937, 719438672, 665888034, 737955839, 222943908, 884821469, 985571424, 855411249, 62772463, 996688002, 475598332, 79079839, 904904146, 62894403, 633970161, 993814930, 990993344, 924172907, 972750798, 113184466, 135320443, 359322552, 104163950, 742715925, 879737918, 378847336, 274506204, 832370787, 991570048, 519150075, 478013526, 88848534, 969332950, 37288029, 696767609, 571942006, 675431001, 389323006, 617322853, 790580784, 388318327, 532313247, 907234407, 798742378, 609153752, 146245811, 130912812, 272152077, 479563218, 354968638, 345831936, 589166114, 268442094, 994261268, 460267230, 299625075, 985041278, 969638247, 467935713, 911095004, 494386141, 564815076, 601899392, 991105543, 269209594, 420541135, 338860761, 97609409, 197350252, 320212008, 538243644, 900677213, 392093095, 229727661, 290440207, 945731494, 264527472, 314641158, 201504846, 712821515, 397150366, 271527131, 382308257, 293827215, 677016548, 495822352, 742947971, 819303177, 821452071, 401724294, 71005403, 682268247, 610890273, 591195824, 865455197, 776828260, 141848417, 500825731, 480240463, 634818064, 640032449, 191860491, 428907065, 318018757, 817389079, 359687806, 573648856, 533958869, 740311800, 820227601, 86672685, 22987391, 749849501, 341859539, 818166859, 70993488, 707811098, 89724463, 115828962, 749488545, 151344794, 230705064, 530832728, 517707839, 647826881, 859533781, 883479686, 845500091, 704740477, 581245383, 386975655, 779783744, 395610082, 272447383, 204963666, 399428703, 911011983, 152799301, 283296552, 951542196, 702188635, 326132295, 3518524, 772401578, 914225041, 380946398, 514687327, 146843590, 491000627, 999145088, 922738654, 452494896, 190968935, 885010551, 601628037, 943242211, 502058206, 615485575, 763189649, 899244519, 624615923, 84602775, 894472852, 282740949, 24679282, 296728458, 171757072, 786211783, 400358269, 736916675, 915329710, 601321199, 438365468, 573205988, 697733728, 79423685, 174722553, 810295102, 423887149, 726560267, 701487460, 854738798, 361803767, 917926019, 382667243, 16857553, 770326447, 766454410, 925784730, 874537095, 422442738, 789163678, 518659278, 555171414, 137871610, 812321722, 787421783, 114427480, 608366963, 475651937, 259548850, 11257041, 105644045, 31030178, 200203792, 626072257, 881334152, 741024777, 246136840, 485612512, 290094502, 785608395, 364709515, 111401157, 448080266, 848748527, 202744637, 406207528, 951971976, 196498792, 219994638, 430753246, 41907921, 50090755, 507288974, 851100191, 150711034, 185184434, 363715005, 208372238, 442238695, 184775073, 330350084, 120056672, 911016541, 590098192, 292211370, 945864024, 595006327, 717549070, 453423086, 468229912, 510094179, 376925322, 801382017, 716185894, 866452845, 582785185, 937305364, 917679636, 675396144, 419710425, 203832656, 964444087, 978169792, 531013164, 433446551, 243074267, 555600441, 326626753, 676174870, 894295117, 87113997, 530887097, 565402930, 808346054, 731390034, 979424833, 945717731, 440783878, 14531218, 755145220, 397246327, 120678701, 491372993, 921306915, 173281061, 830988627, 695978989, 846905594, 721145678, 510756224, 467272661, 769762270, 523636362, 673605071, 641043672, 590034667, 772854796, 938943598, 547426985, 254491766, 501178618, 177416255, 825361164, 34815177, 449638180, 174911001, 501447468, 512828912, 341285144, 344359783, 576074197, 913849585, 207899745, 720944505, 666483169, 267852718, 25184021, 72214146, 913460738, 716315843, 582704602, 139527057, 194090549, 667803162, 976906640, 335051167, 817145750, 861104511, 190788338, 568443359, 793546061, 67955850, 645797138, 297456168, 462934768, 528562812, 790199250, 958239958, 575191807, 858772587, 30848023, 698502171, 668299072, 165842207, 845955454, 912517236, 383700310, 865379880, 507401442, 438831369, 761926130, 818389257, 287294174, 87140657, 51031261, 554711503, 101929939, 29117506, 554037463, 807331168, 668692818, 18987664, 807178993, 257773416, 858874415, 907912829, 68353, 376100604, 36135161, 205399011, 794573956, 132655420, 929044057, 103484174, 264933920, 241963438, 390128691, 131727401, 891818842, 380653782, 424036044, 750689140, 313280798, 159118049, 767204834, 316241615, 288378557, 743423444, 588801799, 41574277, 716344635, 955069987, 83979304, 931847016, 382153601, 407517223, 486743294, 313929828, 871591406, 946712695, 287892013, 988656924, 517690992, 92470230, 327528683, 778976042, 746690211, 785948116, 306413103, 579966325, 74269445, 681277427, 967012008, 451371480, 671029794, 320073901, 522310164, 476177866, 726815925, 676188664, 962201388, 394948713, 40819039, 555469125, 244769131, 773174749, 682308862, 363034845, 380280564, 818714433, 909003905, 497634380, 255580416, 197230403, 382868310, 708344239, 597555315, 727419602, 173559312, 719483213, 478438391, 865806353, 813666220, 619905416, 185710089, 464344289, 508100892, 421434456, 861675336, 882066241, 518005474, 207866915, 902107627, 470228399, 876344503, 284327746, 276995605, 807950067, 157278841, 797490110, 4318800, 979706900, 975161979, 108085643, 683530388, 619727982, 125393545, 269000322, 146545772, 93321641, 966940616, 610229022, 552020660, 967631481, 508325585, 828406570, 854437374, 587553575, 603566518, 691648842, 425491557, 924610976, 846353104, 754913294, 789764036, 403013936, 571715756, 66521120, 305571473, 816554478, 639773753, 27330548, 607821141, 599756211, 759617660, 47933479, 617397433, 270978467, 592437766, 189464596, 900039752, 387842213, 616195169, 509392946, 528987973, 502224993, 761059692, 756699584, 685902791, 992268991, 41870877, 632578205, 262155416, 257478846, 558436028, 971893265, 750985053, 774569189, 735338571, 625886341, 120948397, 652204704, 351926629, 57787725, 781755630, 852095836, 631986123, 468418515, 622166523, 121175670, 618256315, 795064942, 62391244, 75052207, 330593728, 774438442, 901635317, 995728790, 35449154, 977756089, 102222121, 536299436, 540336919, 665274156, 275895242, 435190332, 720410208, 51516113, 107847961, 617865613, 603041039, 97554505, 449853057, 992863026, 840853492, 287108516, 804613569, 536006520, 772405165, 620211195, 232413628, 128811559, 122881008, 991376475, 875267741, 532113662, 321693338, 975641371, 828848217, 518673573, 650212667, 950702252, 866785110, 902089554, 923694752, 421682746, 444991769, 780386297, 568398661, 760846942, 669726259, 424324973, 890220435, 989005638, 951243561, 571152291, 640320153, 129189337, 879292177, 758013977, 118523487, 947449045, 641568029, 926562039, 538009004, 738974908, 389545399, 975850450, 478549053, 885570328, 919903061, 548839221, 596395846, 679356941, 528544934, 664668733, 701827492, 117556191, 179941844, 433181650, 774470648, 30854782, 290528406, 468734480, 712337616, 772616748, 215428280, 99089571, 515908312, 406120275, 207769475, 33563275, 406690076, 113820851, 891849259, 609173176, 75147826, 140291627, 326972887, 769256361, 681967320, 276629243, 286826516, 64950423, 269008316, 809590292, 850939526, 58235649, 614939252, 424457157, 647537659, 358164984, 259016052, 303516427, 785984454, 601184931, 106030312, 5998727, 524504942, 812721732, 461157005, 178354396, 152409885, 516128535, 430199091, 168784559, 662354451, 655147867, 408356280, 187876856, 333515959, 601742036, 610390451, 196384652, 117989949, 650953252, 319813300, 23505050, 304530196, 313942510, 485769893, 830218644, 231045314, 619542891, 437965636, 44142073, 930451503, 187993125, 828840567, 914262260, 213381201, 733082963, 858152055, 15830047, 71270292, 220377931, 40124663, 849009757, 819907193, 791092435, 939876008, 65465234, 933036655, 414625652, 450827207, 656416985, 13444627, 598078943, 677025309, 361089149, 752988884, 834009648, 861506231, 770689207, 884130674, 177224345, 126612580, 789658899, 197956090, 915432131, 567012012, 625435560, 39745947, 113233257, 216878086, 764194283, 997352143, 992561115, 413179692, 741821098, 72198651, 845618824, 137099838, 152133575, 981003388, 545338440, 188568305, 41850756, 84836088, 485289799, 256649750, 815859077, 68143914, 698307063, 341770448, 831413786, 624812339, 839594974, 54603881, 827342920, 371916940, 64291861, 272802423, 595917184, 744552636, 145634024, 525806521, 273973587, 25103711, 357701569, 980437449, 11070297, 517708261, 321408826, 673471887, 987678893, 678824354, 180931897, 462753148, 166585117, 291764414, 312377805, 643609168, 699621565, 603420805, 674729788, 998413532, 33125482, 608908312, 789750750, 589034474, 415906930, 118897538, 586005049, 943865621, 221449237, 234385985, 619537389, 1186247, 748847028, 926973788, 397884075, 7631353, 470189532, 790612651, 662590249, 61841815, 102404571, 951719831, 493833038, 928184439, 443559631, 582039032, 537321667, 561701442, 352735562, 352281458, 561924203, 280540477, 146829736, 963498014, 240636694, 131357028, 305241902, 822732649, 994638145, 332115396, 667609932, 450752317, 120435524, 707879740, 140088111, 397844865, 477290642, 60185019, 81319104, 945057898, 904560343, 21211633, 189105354, 419211917, 658739095, 893774394, 333034316, 513776832, 982939692, 297688013, 366356244, 837697635, 385102842, 136481595, 133364596, 341798919, 519790827, 486874168, 968104306, 193761680, 616547434, 149414574, 503670303, 200884236, 22111753, 111156035, 672306792, 924894651, 326363250, 592093242, 439239193, 299249244, 769820040, 457033942, 412266044, 599768636, 881067733, 664392363, 744229233, 783673056, 522971663, 228860040, 346009862, 477608503, 979729505, 877812343, 472043434, 633095925, 156513369, 30062947, 93285489, 193316791, 810704334, 118258351, 657248994, 563149132, 481417454, 747715626, 823544454, 914145156, 691603228, 513384532, 832889769, 125946987, 475227931, 323210055, 88918569, 687479879, 188136847, 609867159, 771171326, 192609276, 218324003, 635857258, 830657881, 420054612, 659122980, 871737936, 803841644, 429712012, 456911862, 575360313, 474394394, 259342497, 777085595, 554873611, 72962591, 624853492, 130894031, 265773281, 335423979, 822523384, 852360455, 327410962, 970159470, 396262082, 559115473, 779473230, 957412248, 186592317, 713599983, 178937507, 632714033, 226757799, 361460316, 133814744, 318035156, 234564798, 292069194, 903468572, 640668711, 294600696, 762345603, 233738339, 761018882, 288143083, 871731021, 773927439, 284535941, 933853741, 34432855, 938049524, 558738492, 819107606, 220280890, 895246359, 78828891, 743247843, 188567307, 19833054, 744596923, 171180871, 453784529, 218020953, 249620197, 816791359, 324420951, 636927373, 19054373, 868174598, 4355293, 641901100, 765856767, 826232190, 615251323, 970684552, 317949202, 601216717, 731741473, 154589951, 838303922, 953724917, 726742331, 577700610, 896925714, 280269018, 114304879, 910803962, 375596911, 629852087, 587446813, 38935200, 489862645, 579644669, 12283158, 182627015, 55840171, 423769604, 480578028, 903644510, 804091518, 283620714, 657356463, 978530664, 82336603, 993304068, 324122030, 454509334, 19895682, 95719307, 661256154, 876394318, 646208499, 661968105, 323498608, 946548248, 789816041, 197474453, 558898719, 442635269, 200139859, 530812448, 158576940, 107653415, 758942285, 22710561, 927179081, 180345622, 95202538, 741789352, 53378518, 212105777, 891065864, 793237648, 584039370, 140370585, 444473979, 832823310, 736340801, 141431900, 684251461, 737884440, 64600103, 67493804, 316947288, 36127328, 422846580, 254806306, 959974242, 363084500, 275016657, 774677510, 272530965, 221088930, 451929653, 648398410, 966212964, 26514894, 700054519, 564060002, 173154949, 548896317, 518853891, 729528925, 68639878, 120838831, 79695456, 199013502, 672718369, 746464966, 445915479, 328105355, 317515236, 155510639, 370953136, 244418330, 155775032, 492062139, 791604821, 836361670, 684943906, 132293828, 472738961, 956607402, 763133326, 987520991, 556938279, 818308314, 28933877, 683792694, 90657377, 850189010, 498898825, 79206298, 141403914, 319375102, 706272799, 94896082, 560374497, 122825253, 434254997, 859064159, 81524346, 557043698, 551688060, 222762730, 390892170, 530719797, 993640707, 372561442, 29421243, 911054073, 239218148, 637355454, 233682680, 872032393, 276706807, 53544508, 299315427, 958134144, 543418959, 674184203, 112014589, 705022222, 488743945, 398360412, 678835383, 951879122, 725768319, 936183593, 208857879, 626302446, 612272487, 259795790, 91089748, 898979919, 580266391, 864820321, 232922327, 208846404, 160817685, 266315228, 540523620, 670384726, 636421928, 644561734, 137590652, 314421670, 636809183, 341291561, 912864361, 909035092, 874725509, 167396857, 388937965, 674225805, 129443234, 277501519, 45687734, 44804509, 125744423, 993152338, 200780290, 906659590, 830761169, 790566273, 573912290, 686982357, 19702721, 923276430, 149632289, 935500406, 929691314, 665773647, 531790934, 232851863, 66213004, 118340452, 991017212, 317358342, 27956076, 13221345, 722612922, 860850509, 801955404, 765265641, 352886477, 458462487, 846411042, 728413619, 586491435, 672498905, 57657946, 101828401, 452917513, 385957775, 801297834, 695327033, 869245891, 700454700, 51270968, 253608342, 976897813, 802284854, 565513441, 795363854, 486709571, 747292926, 981950132, 640455566, 390422546, 497852234, 622592028, 540218103, 824887535, 990218735, 220076724, 378928853, 164268993, 963462847, 338301145, 710065694, 402185533, 838763933, 79744760, 494361190, 769798700, 164005068, 750199638, 269746755, 73842374, 603921487, 310664487, 567517584, 347681186, 189504983, 643868484, 709403032, 828820041, 194735467, 733367762, 184887149, 477372069, 299675960, 8395370, 382433302, 951552110, 590678861, 79736603, 74348035, 119686723, 395283306, 555304268, 818358750, 414511910, 787750678, 617950923, 939761953, 197890299, 301290470, 525957913, 396360155, 35399970, 952798086, 229542092, 857788948, 79937065, 128834332, 433649424, 434552019, 744753323, 561411632, 750224422, 260224890, 485434863, 489915407, 228002011, 96170397, 629148245, 701504531, 271199076, 441768933, 180546012, 586874693, 835613994, 381225573, 334856528, 971472027, 993979985, 765012803, 186741209, 267675016, 375423615, 344462019, 945720107, 477099813, 390480024, 827151220, 881236429, 92694358, 39222831, 318843096, 94939668, 218005496, 995327216, 350509376, 179925556, 547187468, 593585828, 108462428, 864505417, 123803778, 537407147, 902546594, 426357508, 595603850, 67493906, 685464778, 805734498, 29267652, 479914180, 300808718, 516732131, 207787285, 338333397, 230992269, 181632445, 239965700, 652089195, 711660289, 732537723, 855328161, 846496804, 39567455, 987601267, 753259347, 856128157, 981658469, 539032052, 578720581, 366695758, 523439258, 192537769, 582806534, 249448233, 398800722, 11904593, 744753035, 277834366, 277865664, 640915789, 409827550, 480624867, 609199377, 259918069, 778018804, 192594720, 550083197, 459102990, 620972998, 710971277, 569069792, 598425016, 369472302, 370395730, 320248429, 482728948, 192468496, 914458993, 9448055, 832636262, 898183483, 800795616, 942917201, 4171502, 675058863, 518298336, 270953523, 692933140, 962958126, 247754802, 185611670, 665355487, 35326058, 196567445, 503295848, 535368318, 713870620, 478393132, 781202959, 26932171, 404173774, 204331621, 313197734, 634064940, 273637417, 282415107, 827912513, 109472962, 522836548, 693224464, 38963521, 619693818, 520992177, 37552929, 680292682, 972624794, 287322258, 147238666, 321437383, 696327606, 758818367, 160016805, 878925869, 12232036, 844254493, 756327217, 495109781, 718539194, 246368887, 365815947, 108668320, 546530911, 491436539, 54860055, 775855580, 226825588, 677154762, 168226368, 194776602, 941362910, 642540889, 39026546, 260070523, 262362690, 76662964, 631651786, 227657016, 378186487, 229236878, 989379242, 100917755, 236384820, 718486526, 98491189, 526679650, 995479748, 830769638, 35052012, 193365688, 928948818, 312013173, 366819567, 430026728, 441858553, 220322598, 175797784, 40192402, 850835732, 764103479, 13976796, 745377364, 267069685, 885060478, 142932452, 24981134, 713758849, 425227132, 417418718, 24979809, 144916300, 541183748, 302538632, 249791451, 149887997, 791852479, 250211025, 454652053, 396037901, 408639631, 627742012, 446095105, 914119014, 661316897, 376249992, 471397889, 961580133, 797649882, 832328157, 404357179, 95927791, 507276151, 635029975, 840460466, 344025028, 557406477, 566976025, 553558909, 189784698, 885377587, 785833439, 963143788, 835949268, 837171578, 837423977, 229858130, 375827991, 639086375, 673938889, 801036245, 603150999, 859533376, 303693909, 165750742, 101736101, 44962066, 812183820, 20034004, 565676334, 486500422, 690784690, 430908764, 538504407, 565550800, 261329427, 400867259, 140344272, 954963531, 814216125, 854893105, 708493273, 309518176, 325039017, 392223151, 149890151, 2570484, 77396348, 112383121, 67587523, 189606719, 984286081, 10166760, 690285657, 169310679, 714521256, 158809663, 522340591, 52186408, 430506517, 987408567, 87113233, 211123549, 185813879, 158283034, 928075430, 945123210, 500851468, 317679964, 837704647, 364615168, 388497501, 129241941, 120158914, 868595154, 552526683, 758938460, 504245792, 818237080, 245788574, 453509523, 879584038, 468810754, 743811965, 219249841, 247350374, 889753066, 695800277, 343905504, 879294432, 203697904, 168219166, 597661349, 661033502, 747619395, 425538637, 952013166, 737783239, 64076401, 225877397, 645018837, 470710533, 30345458, 604724824, 514154450, 179065553, 559238074, 184571933, 921495981, 851729940, 852213070, 387918754, 295228856, 113748673, 642756948, 404121794, 863041410, 30895111, 433582645, 600631810, 726972432, 961953308, 372259151, 992163604, 469363729, 544273752, 246564363, 385234583, 441290501, 353763655, 646584852, 520957923, 509088399, 697769596, 107512710, 4353361, 844157934, 980590015, 914136245, 109198922, 413173019, 234614725, 949018194, 281787570, 664332680, 46659825, 955705176, 396404341, 714363253, 756514237, 370869913, 198185134, 524712743, 562167593, 706474033, 692673683, 3809732, 139830304, 76213547, 598174536, 578784211, 175345233, 618963870, 507984877, 82378147, 609994887, 654865785, 552906786, 84050059, 406153845, 232576594, 356103228, 881031056, 597717047, 951336685, 653059834, 537505788, 592946598, 863313224, 462700394, 7565974, 343277152, 592645386, 686038530, 316418660, 42996242, 9544842, 642464432, 391747474, 755309845, 969359652, 419591220, 586192161, 78992214, 805986613, 79730069, 208597993, 918611715, 731757659, 18826634, 682042033, 232716276, 396031720, 442476755, 298880666, 261047211, 339889354, 977439183, 391157391, 514563260, 857666421, 738865380, 20010223, 643077257, 424662836, 186173674, 531908674, 725421607, 143866119, 616830440, 706274011, 684212741, 481249652, 82076646, 615961498, 603619087, 905454447, 446357941, 538427833, 552945206, 635370511, 449884311, 881629174, 133868731, 73319731, 816768317, 318225939, 925045668, 364365329, 352874125, 705448270, 832345397, 161884488, 752991258, 643223666, 479447742, 392808097, 568145029, 236564792, 563145363, 11329162, 559998455, 42620340, 636917042, 719262629, 840578500, 865164398, 738510658, 976784572, 949309453, 554113214, 453351499, 367772228, 453494929, 533259073, 242062533, 798294018, 943075740, 923180172, 83939874, 568960024, 262031770, 782220365, 120180219, 197144870, 64152971, 286540757, 450966864, 469826834, 99317822, 712705642, 212853978, 438061544, 758011841, 964545783, 132561705, 653980767, 116042332, 137792445, 249676313, 430785599, 704223678, 553477108, 151752306, 441922834, 650473712, 464364956, 258429454, 498005470, 717061498, 451978027, 178490485, 177951319, 890135395, 751590851, 104446103, 424704730, 800268132, 301414623, 74394557, 320262203, 85469201, 993202095, 116676482, 900417322, 702319285, 30570004, 899554061, 255572462, 506014628, 163532454, 380831154, 560198201, 499231663, 507143444, 845662777, 907027900, 138931338, 949806221, 943769827, 2215736, 46251876, 265765753, 181135357, 279941595, 941179821, 680561721, 276131264, 701635187, 830568200, 353128576, 787489156, 434323776, 690788099, 516280199, 401746661, 225390782, 502213851, 179692106, 177258320, 240766205, 700086171, 416523754, 698553501, 716007063, 757476010, 848256624, 501024685, 351017168, 154424179, 246356860, 260450513, 473867065, 605971045, 117848904, 549608083, 580437695, 346687622, 600824136, 98200822, 383148975, 495291782, 950988198, 440667096, 936190536, 263662692, 63976438, 413731032, 619267232, 161865296, 213801117, 117814333, 127553413, 84077516, 91787324, 496779700, 645084222, 649752779, 811877646, 663949324, 851837808, 234264807, 91544456, 844165891, 625508050, 570001941, 438685626, 166151797, 270611031, 332019547, 520211793, 931438959, 623793356, 828576109, 158931910, 301086302, 304624790, 898976137, 372475286, 414998854, 76392194, 10942261, 364804524, 441096066, 686718398, 530138060, 643042677, 119856675, 714395309, 541344147, 835831009, 818553871, 759409935, 901041597, 580490511, 215116515, 635850396, 225158471, 355850010, 197658166, 994010128, 901611050, 932090294, 853886988, 836009001, 524090586, 947234119, 240267261, 133484838, 28553568, 481248819, 773823019, 191506014, 403878365, 812342991, 510446725, 904172864, 497303236, 835549880, 329273473, 488602634, 653834526, 862666660, 678105687, 747480123, 704765712, 176726391, 594735329, 99126988, 995329288, 127828418, 889169528, 668889775, 213081280, 503982235, 706708564, 383441555, 843852229, 606104326, 131256033, 820404179, 598403048, 247583281, 127339108, 480251154, 322927581, 301723581, 577295697, 387665408, 514942445, 643216778, 620869848, 320750514, 416484105, 270791965, 545472196, 68129122, 75267416, 604055789, 540910528, 624866329, 278088262, 243841847, 490716496, 711533028, 481946100, 343911717, 620439055, 623832419, 297267067, 469038279, 529927368, 436585049, 11833712, 909982202, 34258174, 781700027, 998665674, 916021165, 561839542, 795864534, 204750891, 323214477, 109227457, 154098434, 973449834, 709356569, 102676052, 516217777, 428886172, 399369504, 396035960, 203623029, 972093729, 612430394, 157282376, 932588183, 162156887, 990154848, 951852142, 993162758, 576253483, 377961583, 836965452, 880023393, 407489308, 299540337, 715701703, 493016707, 169987259, 663646179, 991747035, 285966290, 10881209, 772726364, 641075907, 86610868, 557725688, 605000267, 629609703, 792030202, 455585075, 894841517, 84867395, 210497120, 741696959, 699715395, 216307811, 813273782, 844125448, 711432853, 633480656, 203545259, 851135107, 191160871, 238186113, 146273760, 830123087, 210204497, 221851671, 161074474, 95102110, 73398792, 928805988, 514041827, 24322366, 663909456, 766390133, 648073226, 977715558, 555466006, 583066138, 960107037, 705858356, 666770994, 510721632, 401444617, 985344089, 799915986, 238989421, 334312224, 579003280, 302286652, 324524132, 632520334, 968144398, 373132975, 736127038, 222602236, 637863014, 490958763, 411682425, 17203469, 910858608, 158670465, 424598627, 49331288, 359767119, 764806687, 923262066, 653991990, 552449857, 733903788, 346404766, 616817445, 47838526, 505961833, 573074891, 471554243, 94123104, 975392695, 828700141, 135253167, 796258830, 438811860, 515451624, 118734845, 900296449, 602881408, 268991915, 124542697, 412433960, 674133797, 132905421, 68634910, 831201318, 771853253, 396633937, 681971950, 571952729, 653920920, 264232443, 580300737, 893917714, 610777815, 567083691, 388705789, 295387620, 840648817, 184936010, 183745879, 287055169, 806197083, 217635225, 149883758, 902963958, 846785923, 610350938, 617197787, 945803497, 136861863, 169161890, 677975882, 164624755, 944044242, 19957543, 415490198, 57393653, 36715982, 187497999, 45111075, 773853478, 387154395, 360360043, 862195284, 274977725, 793492618, 540575745, 614592397, 680486457, 214479731, 386528898, 541677081, 809936681, 819008354, 962126081, 452209925, 181351338, 52892756, 13239811, 195175480, 480412762, 198047708, 528466123, 372411232, 334592616, 116281014, 736125436, 378555733, 718676610, 592941640, 783917350, 351998632, 409903652, 347660969, 360571244, 432794553, 347056994, 880076961, 487749705, 736609564, 117775326, 171628051, 229799048, 903381983, 207526193, 962612091, 168899183, 901788689, 20427632, 790541102, 64875282, 955855478, 279699666, 453410097, 942480367, 13325360, 74420330, 349060571, 772683833, 41449642, 823383302, 913903426, 613203541, 292779263, 82245702, 243572727, 410688660, 690454579, 799154124, 636959621, 693333011, 775309748, 544538918, 465911795, 765535514, 251901606, 68253403, 431237621, 245557824, 459316181, 48023858, 837930112, 490725934, 175665848, 138239139, 465252079, 784999450, 124160056, 499610538, 890691613, 407589373, 982146128, 977752063, 717271824, 325677793, 450896648, 736488361, 151056058, 774963882, 743115104, 551403587, 515423005, 743911425, 264563126, 345228446, 768733669, 134291634, 474457333, 199802475, 88158068, 125853859, 52136069, 762301200, 220702050, 205736246, 957710731, 20753311, 564530552, 351922182, 721206805, 28972260, 27710003, 143360620, 223744362, 43906062, 955513832, 627038753, 684329395, 631869437, 481393996, 784587928, 114535721, 42100020, 996456818, 84694922, 511018722, 751206815, 761067864, 137600225, 641111775, 400462674, 644787699, 78924879, 772419901, 554237771, 16846428, 133411773, 901394943, 428591606, 956403709, 255620889, 881209329, 370536613, 198051165, 277835584, 659144067, 573423225, 388248920, 156312078, 512999248, 974642168, 251222922, 401449876, 159806322, 300767581, 666871082, 276530176, 716573734, 765561623, 569161374, 601834360, 457970240, 579941788, 326580683, 611670511, 570015466, 103589576, 946169793, 877053449, 69370152, 457304011, 487634334, 834295614, 576839857, 289466357, 320427266, 199675035, 865842682, 429652539, 131074329, 408875583, 910387522, 674069750, 400107824, 319442724, 368652077, 450603056, 830764752, 954252778, 24031500, 441792651, 510337389, 413014851, 636685711, 129555466, 123373630, 329737764, 128732386, 815366321, 343374037, 927129943, 999170480, 968164889, 216382601, 748043076, 387492577, 8063183, 296266172, 680623209, 24161058, 282181252, 281976918, 579580250, 212833724, 896386102, 995161250, 566258261, 691615447, 480178041, 39586125, 373238458, 508059739, 781040367, 550279180, 422969400, 543006975, 748756858, 567076719, 678360527, 140170588, 112767940, 227563285, 113638687, 622873816, 958564901, 753791160, 130425324, 491039529, 515134871, 953446970, 196652335, 589391880, 238761621, 415772145, 989401531, 202073237, 269687991, 129947736, 803878448, 224511488, 417423467, 287303952, 347286334, 19666399, 83864368, 305009071, 180263335, 352668175, 940888133, 40675742, 391780588, 730928961, 45264729, 83617232, 622678347, 388182741, 220801017, 720535036, 858195298, 843312639, 720679688, 404606474, 813793448, 242656828, 257221449, 225263107, 437151647, 411881457, 149706878, 935498664, 509761742, 416589282, 466429163, 769381155, 801997049, 670418798, 388386899, 239043019, 670692938, 17779286, 297338382, 426407054, 755178739, 511157187, 472906658, 227303399, 49674400, 947414049, 865783845, 485591260, 134576867, 387586533, 644470902, 431048116, 624265729, 249109634, 546290953, 253433909, 801376376, 135987271, 586879582, 959656145, 674200929, 228201336, 270785441, 718704730, 977039153, 581670109, 113875927, 170847349, 59547601, 366351226, 221462984, 585360363, 126246280, 235047700, 931978651, 442385841, 162490578, 952617196, 685655094, 219379367, 877964270, 435883276, 343593856, 579458336, 485107287, 467181057, 855665851, 622149699, 144791767, 389935856, 963362813, 779131582, 262828637, 744343257, 259042338, 409929870, 27463721, 857614525, 82170948, 818887213, 581145712, 512442982, 780653576, 336936456, 711793705, 223200541, 917524747, 896910889, 456450958, 559101853, 41199592, 992446983, 61184599, 891313776, 851136312, 244399950, 604280468, 43129417, 995337511, 929130644, 510115821, 688828446, 514158360, 450314739, 944869097, 741251405, 345398748, 203899644, 262453607, 738877944, 866266807, 830825942, 224065317, 105020451, 648412507, 578190951, 769636679, 119071975, 662422710, 426164714, 896102292, 164860890, 660360786, 449482159, 69947533, 182212349, 786506934, 180900931, 576930655, 124362633, 967465459, 330041432, 866043221, 865500053, 617563979, 521516916, 820809715, 560538033, 135649780, 187751347, 42310637, 334763517, 868157714, 509671104, 830154079, 618022753, 415627848, 591726002, 758407230, 901167863, 633618370, 678201739, 56720346, 115689859, 496826585, 77974404, 362696755, 454370218, 876137937, 142556136, 106089455, 494117574, 990871721, 238158684, 602007626, 680810727, 434662778, 243808095, 872203783, 769805938, 831052391, 587106998, 860166301, 954345842, 715542816, 394000284, 355675601, 938401490, 756963813, 853077077, 865264478, 648603052, 126692884, 932218680, 499605822, 229487579, 654857550, 985425690, 10724738, 276811695, 114947550, 255923816, 828721179, 27216823, 896690071, 845970283, 132657655, 819198057, 512479940, 785436270, 329167001, 941262374, 128236649, 573170189, 802845498, 295009653, 975167420, 98135176, 495201121, 782752340, 755799155, 491065156, 724469591, 160599318, 340215728, 601092889, 577843146, 961966636, 957205065, 990169838, 537959348, 11612887, 868186087, 494604457, 825666729, 831777830, 718412307, 281755422, 285271244, 621642724, 28552566, 302018296, 346794233, 49618988, 540897688, 999356371, 551308293, 559293890, 12844526, 323880327, 223564946, 480215833, 977244387, 332881858, 504240733, 69078041, 787734876, 929822382, 540957424, 613615999, 253609112, 373826709, 821468723, 13749677, 411366717, 61577722, 917737449, 613228729, 51114877, 195397056, 904188602, 314135597, 256327164, 742182598, 128189753, 784471324, 151028590, 819791037, 125121737, 670106091, 200267500, 582098134, 451128162, 679993500, 618174473, 413276923, 904864464, 986498563, 855830764, 993218996, 896467589, 49984081, 52890843, 985408948, 616151139, 347950453, 496060071, 726543190, 367472925, 642263748, 246497331, 859685627, 443491024, 530737175, 554145289, 64284170, 506393850, 904673227, 539339407, 657919107, 391777029, 604242305, 352129750, 567645060, 249091623, 10920858, 171940620, 147819116, 737814263, 425568189, 160210012, 370335974, 939803904, 157837801, 341913530, 562763206, 514188755, 179849911, 234163298, 401256952, 497116443, 853686616, 715279776, 562928190, 501162838, 973989916, 94088193, 776711738, 234318552, 207846253, 822616858, 610266342, 611041831, 392711278, 278213824, 360777707, 421842259, 731241480, 381976156, 805763914, 536749486, 995929491, 727855293, 680077144, 322194363, 584584774, 687501290, 753199803, 295218307, 613572807, 415442471, 346245760, 635292526, 929931245, 677645222, 255646696, 853111716, 869110745, 681244073, 707863195, 719935020, 170070552, 445712741, 603368423, 478656808, 109199408, 273269459, 112034796, 202495675, 900009426, 897386616, 166292266, 760855832, 269006687, 350203518, 892493590, 581403191, 133115286, 196970394, 67208859, 20895082, 802587039, 559784329, 58232541, 740283967, 569161574, 171566233, 649260580, 686409143, 80509102, 982351066, 756005477, 426015499, 152288189, 844021452, 233671790, 568674414, 705966211, 762784458, 411796085, 660834650, 106660923, 856357025, 176632510, 135497634, 705294756, 678143016, 410081204, 343469639, 956883004, 946833604, 978049024, 271338832, 63285654, 781751320, 408883740, 299782378, 827816470, 390967301, 632309601, 172327129, 400236993, 669793567, 594358469, 828832935, 560348474, 680432968, 992538625, 580106584, 987477635, 91352903, 113817334, 425905169, 5653723, 335592971, 588135826, 592940579, 666667994, 664088827, 164324478, 850008884, 825729234, 519811043, 92006825, 852420820, 863721517, 376603663, 690434479, 464782046, 408435957, 410076310, 338495811, 489271809, 386145061, 911776722, 638434646, 422353554, 868841015, 724580266, 125907457, 374837418, 432785441, 710424478, 607439367, 891399258, 564675560, 463930190, 516043139, 140634698, 702682662, 383077777, 994197459, 577236444, 24068696, 443869467, 851456881, 102680463, 847931820, 337042514, 837031926, 449968828, 964609093, 516117737, 286941482, 315552200, 260913442, 240655364, 357835023, 270122746, 753464219, 485731944, 379260874, 318064609, 383026285, 868791314, 538794102, 65776310, 456507716, 630318141, 821749620, 167427153, 93048447, 599408023, 628216022, 856626963, 594304974, 225072422, 196987752, 533896419, 609144113, 215422242, 610416008, 266486218, 755165418, 5588754, 231084245, 568783318, 21760100, 539772731, 488989953, 807191208, 441198968, 79166961, 682344576, 920874900, 589886139, 238946485, 92701937, 675021849, 138188763, 341554781, 695630531, 395579009, 184090111, 796722307, 423905079, 422644276, 400353212, 531181971, 654947221, 933331765, 827287279, 65953194, 612137667, 973975366, 798377496, 796048626, 531447863, 452261119, 613202164, 405945685, 10768147, 722264958, 699967470, 71196800, 990273415, 128104298, 1572187, 515484266, 610907566, 782502411, 90041948, 825266799, 893689556, 515354570, 342078763, 449937545, 46788300, 861384705, 303644837, 885858797, 269047819, 902492503, 989784050, 519012518, 281685760, 555853639, 470795634, 868702884, 673481741, 794973254, 287187283, 943280008, 468439656, 909599894, 661092171, 254121163, 779225894, 943947176, 283135024, 67542385, 575081536, 942400443, 616103746, 315264446, 691245394, 338765418, 137392063, 636714171, 20742275, 995482811, 714270265, 322940278, 443839245, 473931811, 788983174, 38511774, 830262468, 331502938, 269736134, 408612195, 540769439, 192165215, 834113119, 244589851, 145004240, 159187470, 308416803, 721038751, 343015873, 187278969, 120578709, 123453538, 723929131, 620938676, 513423445, 366545173, 851100840, 621427579, 591865265, 732891744, 911635391, 504657794, 58146358, 164737614, 589526357, 642411959, 651820696, 441501203, 637106038, 743793969, 453307334, 350327729, 127529889, 615521578, 849842294, 817072478, 915440095, 915563969, 825798927, 402915594, 490641805, 167457644, 779031114, 652959876, 804992988, 952977433, 85826132, 390335419, 878555126, 94106321, 745667577, 34070933, 374438161, 44552877, 828935426, 338114805, 878905387, 630196847, 375650837, 871288654, 249628253, 545675790, 724260007, 336614169, 887648051, 938953924, 625724786, 264448121, 684029257, 42731856, 374024472, 462460815, 960597604, 529835600, 811144546, 101648796, 221582373, 920543121, 992634067, 765449221, 488362980, 973315534, 754584342, 403655422, 73020675, 557887432, 441708121, 492233411, 163047537, 172823869, 740713513, 858680134, 904597207, 647230726, 801804459, 170743948, 623846328, 945051053, 293709287, 860723153, 821292002, 367822775, 357843361, 988234544, 717761181, 552859133, 459818045, 70414324, 764625989, 994660554, 42457691, 840115939, 808752244, 541396746, 896248129, 592444475, 248802462, 748307470, 439783499, 234642317, 788640870, 806063173, 693323916, 622956645, 618331006, 868382260, 286735363, 807452734, 1831494, 322175432, 850358136, 329771940, 555357211, 929364831, 92271618, 674502065, 595080169, 101648602, 13692461, 497376562, 620798169, 189312659, 911448371, 556063568, 120485134, 510864467, 78599572, 304043834, 183408810, 647152556, 18582163, 535397348, 451877312, 524303195, 868238743, 514247367, 491921841, 478987176, 185089922, 217882113, 32154029, 32645372, 800168654, 934941351, 631765803, 958833826, 151128701, 416507191, 351424902, 95976518, 883379285, 77454540, 90522610, 679638838, 103816421, 63693020, 962122852, 987055622, 926360872, 20774208, 88699291, 136109667, 263104216, 842969579, 687452202, 717966806, 153686592, 268752329, 798632545, 887611084, 375968202, 201387705, 445333263, 379971413, 835221660, 471428513, 698194025, 537166645, 671246018, 551999051, 670385784, 520067201, 18254184, 649611376, 128601041, 983389510, 848108113, 669402525, 802408807, 892717655, 357844880, 221175636, 719960826, 594868980, 839371547, 71482749, 882682265, 731491298, 961802294, 649473451, 944500387, 96698705, 915752940, 765778814, 335203419, 800969379, 990018191, 28869862, 901944668, 946148335, 511877469, 806225446, 504945117, 618041703, 168106989, 170224202, 848004333, 42630905, 369316596, 412867520, 402788439, 930143793, 560205078, 516097110, 47310991, 458717047, 434761447, 217986867, 405158407, 482483810, 501229557, 82557542, 705132434, 297499464, 103847, 654922936, 370748456, 612793768, 177408662, 902803209, 662829086, 107453472, 587812063, 296258828, 137950578, 873010851, 662183253, 396362085, 484813478, 6389232, 864615027, 920068008, 177505851, 574821480, 783077735, 274489798, 258333936, 186907087, 66377494, 237098834, 790585734, 399854894, 156959830, 978882095, 205818092, 706267974, 259471569, 156040394, 995800449, 362379418, 518865430, 492673552, 173510066, 926502002, 4850915, 678104611, 348386618, 351606762, 271564106, 5230826, 473912173, 640971245, 586297108, 410596950, 522066239, 254967840, 641918835, 455260747, 41235756, 27065300, 96371202, 382763078, 130898242, 604855435, 292160718, 66467040, 324634475, 200561726, 44879055, 696172916, 339079082, 158449969, 803807586, 472309279, 99604716, 49342924, 415150489, 920757689, 75316062, 854360838, 136671167, 341310932, 357849806, 334886161, 218642234, 274123715, 871124150, 750309254, 468258313, 348104506, 975412421, 582302809, 130366616, 567857022, 25609836, 308055698, 326509327, 493409306, 130125066, 846887654, 608602476, 863190692, 466729366, 120056417, 466191554, 841223939, 467004459, 207721624, 778454369, 109333349, 122822652, 110815381, 474180055, 629936199, 13631685, 77688366, 931945301, 444661141, 413592969, 546423107, 861402383, 280076997, 788446543, 717791870, 661796783, 964001009, 150686025, 250484406, 731330428, 425811355, 118810566, 387511142, 953929342, 276955634, 979606099, 470545853, 211437355, 837683813, 120883545, 755900811, 309828152, 338658307, 837855228, 377094933, 592019364, 623395790, 106261809, 668227238, 963733491, 665449596, 140006078, 732584940, 502817284, 734468190, 922176775, 633127270, 832736107, 954896342, 105491157, 47536256, 509811800, 436310101, 225400667, 999059131, 206495121, 270530629, 924285803, 469558477, 972024392, 638826172, 307803688, 210609981, 889363455, 513151769, 630428280, 545087571, 564133366, 884009262, 530783328, 448454371, 272826122, 524477482, 883786649, 974148297, 221000849, 212535749, 996295367, 922943409, 893235409, 375847468, 931517217, 140579008, 118701344, 904183613, 805741520, 573446906, 198563486, 709297168, 714658062, 371744454, 141712512, 273582577, 537344754, 816487291, 805407665, 111128174, 864897705, 313285897, 143080484, 600159709, 260411502, 851937049, 578864434, 6987509, 180899473, 864261480, 397152742, 44096061, 901685908, 634961620, 538402591, 348079279, 793434643, 559315147, 399616382, 806241820, 96275679, 95340678, 854970309, 563755062, 730772090, 19057344, 202907651, 367854990, 748368019, 548446243, 703117609, 893964082, 916648413, 757179633, 362508502, 411022593, 702221998, 289555465, 236577127, 761230317, 90864142, 804424730, 231830773, 404013701, 21575411, 828103781, 132770371, 250520445, 551820924, 445225982, 963232197, 704207618, 155925033, 563574677, 394173729, 590113805, 513000087, 72493086, 399943929, 232786968, 233020745, 146366806, 509333756, 67712378, 865656825, 787499691, 718316945, 170012044, 178561215, 6187717, 989304521, 617851954, 592617357, 647125336, 39831771, 191699611, 964679545, 512266591, 890080878, 29845027, 80599519, 627792001, 168253028, 471082912, 516187306, 555380899, 761264117, 562107546, 603081773, 759706778, 953253095, 252695570, 442133684, 291538349, 616034323, 555101288, 116154759, 655494341, 987306407, 167398405, 313805093, 125812564, 804025166, 119146628, 921524933, 415106267, 699450195, 585063801, 105083187, 103179993, 831701738, 65083527, 890501606, 723257832, 403128265, 675513398, 928693681, 234489942, 493192486, 644951015, 958511751, 91780026, 492836745, 516017701, 991411105, 502159308, 65573484, 736073705, 83721630, 554854396, 615801963, 830254765, 419287575, 71531643, 145316977, 5953234, 984878428, 5958478, 767653192, 69765561, 866064157, 100517817, 436374222, 744213392, 850703306, 459063239, 490834774, 218074655, 503919010, 524498853, 163217401, 872622980, 738972266, 508919929, 185597033, 476230551, 187015624, 359589679, 719062191, 204114833, 210005049, 532287004, 745617921, 205174414, 654135254, 143389168, 143285918, 745897274, 91574410, 740070416, 806813654, 959960762, 534474811, 324130264, 433955674, 83743968, 115798870, 204170071, 911124473, 992782490, 397584727, 289140431, 90796386, 981917511, 613310810, 368287370, 655603775, 212147659, 831478867, 527522006, 347563522, 952813334, 832555491, 143823113, 778976664, 507048630, 991650215, 834794626, 957383415, 538741353, 669599669, 721949440, 928924344, 820412715, 359648348, 296980747, 296673781, 203557231, 750500086, 95116466, 978943620, 742488043, 193181395, 66125604, 724838871, 892093404, 323385064, 775202645, 578364831, 790949704, 132007904, 651991843, 27566159, 870865814, 696317730, 825459777, 620613373, 660498274, 485347967, 179014980, 479992519, 438968610, 165947377, 547586057, 717331785, 778015918, 739824756, 888033091, 308660753, 292734602, 349437478, 896487128, 585556918, 4368643, 112781041, 519006896, 349617809, 746075483, 869917694, 248999853, 878942712, 34818780, 8924499, 389585497, 14700458, 713822251, 413800940, 859187465, 730870497, 309343405, 903951097, 299654501, 35485800, 386793394, 500223649, 592355845, 171340083, 194991175, 263702661, 547326774, 342037025, 700663182, 640643752, 755106537, 64606153, 912998415, 541057818, 821272097, 522618014, 635077119, 406335705, 169482339, 577754541, 547028214, 566091516, 927377676, 434033893, 841352554, 776912461, 617050551, 704057162, 777563926, 767343073, 579237171, 200863035, 266654105, 931091602, 848858707, 58435277, 476417496, 361746404, 873355723, 230143981, 595575387, 247833505, 480280841, 853821754, 870371100, 118631591, 801864093, 393806780, 201074315, 95559659, 92043410, 690653170, 29021302, 318247683, 685319881, 936472164, 395170668, 494974680, 469956961, 135699347, 284917338, 662010360, 223443770, 736287867, 533246416, 875085386, 750705677, 948066842, 342707089, 945349979, 464687976, 645089433, 254388690, 229526915, 19702356, 449160710, 147532796, 80072934, 550537863, 359451834, 268987766, 742869714, 716877429, 901844286, 71328464, 724476869, 739466572, 125183006, 63895764, 938593885, 869924595, 481397714, 648544074, 179444622, 737795986, 286060192, 819523374, 615922312, 242161826, 164548247, 415488641, 734277622, 736771957, 176281113, 868769390, 160241353, 123799421, 983039895, 468842361, 745879856, 212445169, 986841578, 193466893, 68645512, 215707719, 62587197, 781977045, 104875318, 104002903, 356742139, 179133845, 595886651, 940331889, 752356316, 793360406, 466691149, 283641502, 481017365, 882357875, 259596164, 578780503, 802830518, 331586276, 105805103, 86762051, 770236173, 856117112, 797768968, 521083311, 368017840, 307064337, 202528900, 153212412, 348606926, 767931534, 911324104, 562129742, 294677794, 605340488, 335914873, 629718733, 761656219, 599334657, 807952957, 500261897, 538941354, 404270912, 75163726, 646206179, 113007956, 15034565, 765865793, 432828878, 528579980, 935071531, 5441345, 892658477, 524124317, 709029789, 972207681, 856012623, 599574242, 194048614, 514421465, 625387639, 121306242, 196363314, 558630420, 380790085, 217006171, 436664947, 178517152, 747521116, 590617007, 320437541, 129748803, 466439063, 984354422, 591341975, 811468058, 863960287, 350863909, 26870133, 116800540, 201385516, 825236293, 830267689, 982326710, 721025283, 925357580, 899149610, 134646773, 197183806, 131467992, 163882496, 756108813, 723418698, 328454316, 271390574, 541506527, 328971182, 515471040, 372630721, 120586683, 905578323, 961058400, 124524577, 919242947, 950899838, 731493056, 223403028, 568507856, 162814962, 922243874, 634492609, 693254352, 374518011, 958559539, 777870265, 999963579, 570258020, 82218923, 348148182, 999160936, 302865939, 2895141, 836564971, 478324626, 265258277, 571175425, 185720148, 742450386, 318389562, 685026831, 144719388, 514230998, 222805693, 450912345, 741036615, 629805722, 650645932, 616804566, 422833893, 522139719, 223933367, 298574858, 581916634, 997867888, 972711823, 246704148, 285943955, 719835532, 16871216, 302860592, 533534432, 163375680, 784207651, 326133399, 481647449, 212903947, 637698021, 828929124, 639018732, 202678520, 601729385, 209365694, 462446915, 347033958, 100429171, 413841950, 115744729, 784139474, 617414456, 174787055, 758641147, 231646514, 524324307, 431373272, 78530762, 416222699, 120632316, 402765731, 925705600, 812010576, 640675362, 453841126, 643077563, 100391697, 895150350, 18884431, 770781143, 233959873, 211840359, 703366995, 454142762, 683807283, 12797375, 194546604, 439599005, 174653792, 632432419, 684331318, 595132702, 727773633, 546833873, 934002311, 783370837, 69245561, 760441067, 685483524, 848461277, 908135486, 926535366, 650871529, 875920432, 438079853, 40223898, 419631893, 201278466, 692506120, 463411904, 873748048, 775450678, 23669713, 787819789, 727738336, 256955915, 59462329, 774266353, 566039555, 708677781, 665095786, 27043998, 269373692, 126826124, 197641360, 335576191, 565540913, 270824504, 306623760, 78274323, 805020688, 304584936, 407566469, 921637097, 263190110, 642483460, 567788112, 958335374, 597888384, 585144564, 596672686, 365690253, 547799534, 537728422, 975030759, 675397898, 545060276, 556883943, 709153779, 870151682, 716020453, 184741470, 572300541, 28206807, 16489295, 769618223, 507211926, 147331555, 805886414, 516004932, 846661971, 279521165, 924182045, 285444265, 148835582, 558514447, 231334068, 261093528, 50526602, 241189350, 71554144, 974583780, 931476517, 477549337, 976537328, 230318722, 948671629, 710021283, 241997541, 201000930, 207748484, 191342710, 497211950, 687124841, 666202894, 79455596, 927357622, 803706141, 507044471, 890433624, 362087713, 939255269, 943975618, 603128659, 611822797, 536993080, 293307231, 165261329, 170725509, 611869809, 721902697, 977527932, 799355625, 913850654, 422756901, 483411235, 316600310, 248077831, 152061841, 919228294, 974712707, 776165460, 532983923, 312356887, 215797277, 785754902, 960276867, 214040904, 753018336, 316015000, 941271662, 855983207, 81579854, 535480668, 662667290, 89988334, 710727630, 211045253, 473026046, 44612662, 174459135, 735202536, 178716966, 221384851, 816126626, 378442327, 45503075, 228016206, 149554491, 158992587, 655794243, 981813552, 662698712, 977567821, 261040223, 904318693, 430321192, 221610438, 466682696, 896160328, 905653624, 22203059, 983982860, 787394226, 191829527, 662409791, 190080060, 822870208, 423341044, 212489454, 898371169, 244743086, 223192387, 17991093, 438190266, 931216258, 839434883, 657080491, 214517039, 775523539, 978189241, 257241379, 53532759, 883510945, 236810755, 45076858, 134227463, 750047025, 161338165, 186260324, 699756906, 332456529, 836955508, 693801155, 381241869, 165192556, 12776219, 768142636, 242642522, 188996082, 347476786, 953201610, 484524797, 320812346, 636690132, 449742791, 983884471, 210689776, 307527447, 74133683, 127557152, 166698810, 559217522, 124424893, 479651802, 616111733, 409105638, 655861862, 687625640, 653146747, 698874564, 904344681, 641123182, 301305347, 250766918, 182722317, 39499781, 475432396, 118394986, 670933353, 370533996, 707849690, 788692383, 391198504, 180097230, 711392189, 643655493, 808088640, 13585317, 238754624, 303069482, 643702159, 941669454, 758237172, 41409385, 887670201, 8129707, 614898672, 63614664, 755061232, 337657509, 621129166, 461524193, 203441772, 341272485, 600362415, 732861765, 989959980, 872636705, 220268626, 405347546, 311886874, 246563312, 884600936, 185526839, 877720335, 772956078, 183090423, 795589681, 865962481, 170647263, 454738801, 798989553, 887028107, 697525115, 804357730, 592720519, 136949865, 129982425, 507828228, 1297216, 619027139, 146965991, 959336385, 542990624, 852527870, 469993187, 993487976, 437625545, 859045014, 781792831, 971093766, 223241000, 78596226, 343498080, 885154924, 685846626, 602034056, 329099595, 964422698, 224728250, 410443364, 289706063, 359939421, 239597446, 26729057, 353792892, 438641288, 78337642, 797831900, 927414859, 190640457, 697113229, 967850109, 208895249, 994643003, 161497627, 509410060, 242252424, 901324021, 632704974, 470042217, 660016901, 987129384, 408862682, 984027052, 56965958, 688129549, 489669566, 285532497, 621522252, 181736676, 310613023, 166037227, 674032520, 329412385, 883503915, 972596839, 843018565, 449255215, 713915945, 945772195, 460078018, 169471234, 391567834, 228606240, 156142118, 229224908, 375101730, 278726818, 602442879, 529286284, 777324485, 734366902, 484486300, 973295209, 767482156, 619971794, 308935146, 416276398, 34144513, 751071749, 268608950, 864856911, 829889140, 258697061, 942546915, 209690592, 43626553, 955550833, 267466057, 874240666, 98102614, 330083312, 417981837, 381641556, 312734828, 253318650, 610318292, 432521338, 222138046, 738894232, 292224810, 394657839, 535612442, 425732983, 738153195, 617181610, 841465301, 861453400, 441280097, 632633288, 224730120, 24007918, 867730228, 329941200, 618429553, 593345751, 538464982, 175468013, 412122851, 665257960, 63745601, 474371634, 235179452, 50883112, 884657204, 31349811, 682110243, 359612849, 46016039, 664246046, 792978923, 734418939, 330319038, 98083339, 490257748, 32660832, 816675469, 805977380, 121703767, 644256305, 818684943, 36878100, 652944991, 997784578, 395979868, 468021195, 502022376, 979825513, 209322054, 794818890, 683064929, 830593927, 223724496, 513043808, 300343163, 397432583, 441068104, 8684197, 907090308, 12080615, 596281981, 547872157, 520791114, 492952726, 528379040, 620331641, 914028092, 889170033, 948870172, 332131555, 777724090, 38375371, 33216854, 771762233, 736321489, 389555137, 262411708, 847622342, 520412622, 8416064, 563337376, 382982057, 37771547, 490582602, 254338909, 636591633, 318669368, 560757503, 366077053, 21804197, 670022231, 844946034, 846183793, 236857304, 987045422, 406294830, 747913598, 922090014, 651561737, 757028211, 106770556, 424280244, 802253198, 448972592, 377995719, 828929417, 187674371, 973915261, 142048943, 942439303, 795300611, 13106512, 366923747, 16213284, 465928878, 628599964, 693249313, 520057223, 783315533, 547275049, 250216341, 325720216, 4661181, 66072140, 534929085, 709223077, 147945553, 95767723, 418429198, 299580696, 348179271, 415077091, 220235705, 243306392, 256444708, 306780574, 931887481, 414765026, 399485389, 319911036, 241537989, 359549167, 403511810, 215575485, 933543673, 264108189, 451033062, 720271351, 618272531, 740048011, 782591297, 104848746, 494673301, 682031218, 647816889, 477582337, 543664352, 959746321, 149165741, 691104653, 850753575, 936078986, 820761350, 318530856, 295930250, 196693812, 509773235, 35229825, 578492018, 983789079, 79034151, 719928147, 986718122, 95114209, 997216010, 376115654, 439844770, 705783596, 276669753, 580382552, 263414678, 118771689, 615523865, 141409699, 382611395, 955547095, 388551877, 693127514, 620204267, 739970174, 327087136, 519264664, 700148917, 677165594, 394692344, 241722269, 513074597, 983037358, 37097385, 352514861, 759540396, 794496762, 886778205, 814006141, 358843104, 1738787, 50110608, 617963322, 527472002, 821327695, 944814784, 52323909, 336175034, 860714368, 891099840, 27832029, 811480796, 35926226, 18907073, 129395552, 420878383, 937631977, 371990310, 10377648, 318638594, 959864480, 503119743, 821717342, 772921635, 372163021, 277041834, 22822333, 441591535, 878640339, 590861896, 663631191, 751872740, 237784893, 140115458, 208617699, 202264090, 355223675, 663850511, 482856396, 75157493, 337021868, 653652282, 446246632, 758061472, 1396894, 908509532, 959977471, 771380994, 105716258, 885095861, 878513929, 443626711, 531813337, 478660090, 886385283, 193468745, 625513704, 776046710, 647726649, 797136983, 664501404, 527822357, 718299999, 370602316, 190875161, 393854664, 152976170, 612732544, 284346147, 961431200, 758229293, 577116988, 863659902, 167199896, 42759500, 300286355, 708082604, 805071668, 559902144, 655487483, 107189914, 496881845, 11181170, 789910964, 459926857, 364460032, 834312252, 818181481, 809912154, 820980270, 130540342, 294736623, 255810137, 917200433, 600299393, 639373563, 180590444, 743978679, 454530819, 796013151, 366632222, 710626188, 621158264, 413763796, 251713013, 615627531, 37204100, 994972589, 850440448, 94197712, 941518615, 866514857, 390773380, 416669172, 281280817, 869075152, 178140304, 809064971, 13559380, 132758677, 84146393, 756773628, 564455727, 383416607, 82349518, 244658090, 722401923, 88100720, 121091500, 241758431, 648455974, 11696492, 267470993, 538729712, 493853020, 274408598, 696966688, 493459778, 808195637, 225538942, 942015422, 362429390, 598407105, 733628757, 104017402, 921002166, 334543959, 384775083, 499811151, 783423012, 387187956, 969440332, 993607801, 708768854, 488511485, 87399400, 472706349, 340963897, 803593702, 86789879, 21951242, 879279283, 711848219, 573632171, 760241672, 945271241, 476087930, 351107519, 547459508, 725837858, 403014207, 337794687, 179619366, 551179103, 450430038, 254139928, 759089942, 247062252, 368662112, 294300631, 664023269, 98290852, 949298713, 966356642, 78637562, 388519799, 226326651, 43513139, 179217101, 137242286, 359455725, 864428453, 300312711, 84249141, 330823060, 416476126, 532014793, 902418473, 533746810, 80254927, 477276952, 652646015, 252770320, 519466815, 363001835, 111023993, 111912337, 460729892, 173186665, 182133752, 868903867, 424252683, 526255478, 258911605, 340974214, 739864831, 404195383, 660755039, 786497928, 813096237, 817263268, 423994895, 407555294, 841307267, 381694361, 621633639, 634272723, 4656833, 756165838, 665238163, 565983613, 243806279, 650063084, 317867428, 538176822, 7060021, 285829435, 155868153, 711156217, 707537726, 371540346, 75576866, 48652299, 660494545, 940884576, 185911222, 71504773, 745619449, 28252421, 9731328, 625137352, 852526637, 272817457, 61361065, 431060959, 886397484, 37675059, 510213010, 495999201, 981745649, 84242920, 220215147, 907820279, 658040358, 277975218, 144019474, 486298564, 305514074, 522723166, 195186630, 676045249, 962465090, 733298879, 628253302, 499306608, 196602723, 117262567, 336467666, 344378112, 669094293, 343783125, 588977548, 206667727, 209623420, 494782568, 917686632, 997652132, 511452841, 961251972, 318659890, 535664368, 689356034, 733290070, 928322311, 761127690, 239287050, 946614212, 447656435, 637591974, 759526532, 923679796, 942706928, 492584497, 211037778, 626322929, 372222268, 715622012, 770367779, 485727711, 390213504, 944891236, 481503588, 568212508, 315838978, 784029237, 311893136, 903027235, 376497833, 943928735, 120684279, 334840251, 855998878, 19308741, 977962296, 519262519, 418634343, 382399721, 331123565, 72024208, 734818103, 653069588, 883902241, 130732422, 487040269, 637715360, 511870710, 164631289, 279352933, 83844931, 764929914, 116995494, 865459684, 558902680, 812631473, 166523788, 316016920, 445456460, 387194332, 145466424, 776797343, 95226589, 748257430, 890850169, 644204577, 566745454, 383268023, 162381935, 751983326, 790349002, 634465955, 687059591, 180685111, 270822204, 420862078, 818348277, 54974327, 827940598, 692786976, 604303892, 139587990, 704560727, 286178546, 714998825, 226062316, 624047810, 634281830, 667471417, 625790123, 87903816, 494010837, 742279292, 544230859, 594181801, 806137729, 331785930, 996469677, 605689189, 695958506, 139838746, 205924064, 409330857, 615124121, 237597386, 955813527, 909748741, 966517668, 348291836, 893903113, 158649333, 796098757, 687957045, 510907219, 438495875, 126531612, 69349572, 42310312, 50620081, 304175110, 325432571, 32025068, 112392018, 72923083, 384469030, 679262910, 276054185, 175176050, 495843830, 291775816, 625752256, 628108428, 971495642, 780604961, 904706349, 13719832, 179158871, 607808380, 169099512, 455606875, 815528872, 399005454, 992980027, 96048752, 769282309, 21666650, 524664896, 246438423, 967954296, 443966367, 1999294, 91580088, 357832704, 235863773, 349568016, 902719162, 311593459, 616705820, 685177049, 875218149, 577179998, 601900731, 451625410, 217823248, 877760739, 416077252, 866596190, 784066678, 457536769, 4269541, 139711789, 330380433, 26622584, 508552066, 55797452, 812125022, 288607425, 100250618, 459231268, 448672134, 856370468, 697179326, 861369964, 644427341, 671512085, 50052013, 618828715, 194770389, 918661402, 549810850, 269661275, 864514822, 319725214, 464940142, 840289639, 927625787, 315371796, 234319332, 499969150, 519720296, 29118084, 722122668, 242957267, 495275791, 711660842, 300197321, 433098424, 277598303, 469902535, 567613293, 634622987, 923900810, 588829655, 311379572, 343808136, 692471382, 776143757, 87530745, 412585676, 164002588, 794404169, 146735653, 679297084, 123702729, 573993111, 653801409, 673411285, 132180091, 775029960, 245790889, 530850712, 727129343, 435730392, 692905767, 831162309, 862594990, 839874394, 756322279, 791045590, 242322580, 417714658, 347624944, 465124778, 437997246, 939077815, 256498549, 308593589, 603376444, 752670900, 436924069, 18666190, 97205440, 397293671, 51097342, 559807350, 777792006, 674592048, 577341554, 421493414, 535327720, 983563044, 409122330, 500567856, 978408808, 942814197, 424679342, 8593935, 230400378, 402986296, 428644987, 105542296, 431129441, 287231776, 89772855, 235762476, 432987896, 217024959, 969518535, 475363277, 313814388, 839326592, 193670839, 92652826, 443641051, 386465401, 680220836, 292276093, 237174783, 856960710, 888959614, 395004940, 605015946, 551803663, 275257026, 1827731, 869840541, 183548212, 638692226, 136915996, 413571894, 510664489, 215150850, 555890943, 799245461, 369455378, 412838154, 947545981, 444612290, 33330428, 933573939, 875777800, 578511376, 602914835, 924876221, 156225553, 616176014, 398034520, 629858260, 996265436, 694591437, 208349524, 544048425, 359973373, 990314841, 548444790, 570798024, 594781307, 393784992, 80862154, 348122437, 81752521, 927145338, 889252219, 725189158, 570937427, 291452974, 264563340, 984044253, 147047245, 490033768, 940523933, 395577397, 537845692, 861512113, 342357466, 372810598, 678874394, 518863615, 813197076, 346997044, 650224988, 523504953, 83989065, 687600767, 923016660, 556406583, 895746062, 31388502, 98911528, 56761227, 508747789, 342505302, 595812416, 821159364, 32426144, 551008317, 2601432, 328090592, 967245866, 600109596, 821450879, 9463934, 296011052, 605979156, 951048136, 680325869, 149051985, 272501962, 558953154, 624546146, 488586788, 923075441, 434217473, 525758976, 135700150, 134153249, 589246060, 193811489, 345835687, 116658648, 864216186, 798668852, 186799154, 347534, 597858948, 756679923, 233240908, 399188094, 633932548, 203882119, 36641250, 739541205, 506716614, 828051115, 255383511, 731799298, 834568292, 491150645, 457818272, 890667284, 893838449, 263955559, 493879868, 31337211, 411525262, 580296946, 250611106, 374910284, 100024283, 474677951, 225514255, 869864303, 670280856, 935441918, 643457016, 377299633, 714115628, 663020586, 777578162, 282872826, 480849778, 166958911, 507652276, 230247485, 885312793, 249693746, 349327944, 564201315, 789019017, 216283124, 443773725, 970770262, 888559019, 368244946, 945076738, 343133211, 968256259, 889832400, 162256862, 10942625, 27562289, 704150478, 16993835, 580813670, 575410295, 711429401, 358367022, 428059044, 508540506, 40510789, 231625508, 367024274, 594443118, 597205845, 475960950, 566097509, 87720678, 267307002, 830859471, 806120356, 751635738, 910482178, 84977401, 262774469, 517074748, 296555029, 860652810, 117444811, 285489371, 656799282, 169771699, 840205279, 192048904, 398889805, 801663298, 131327513, 174483756, 685605395, 660814811, 538884071, 26601008, 2177810, 732061992, 726739604, 594341327, 528923051, 377090859, 548970639, 554860025, 983186198, 598626348, 683287187, 525495031, 886573199, 851107935, 901335562, 257166979, 610506320, 853864378, 575326132, 814541587, 435331328, 760617241, 916907961, 628608010, 9687791, 879447764, 545908414, 40594796, 231292526, 110314736, 733070198, 215418460, 350626683, 37392132, 394696562, 267604931, 831261185, 162845862, 52289145, 298389690, 129490735, 745817816, 686384241, 283045460, 741462739, 658743565, 469970740, 3733623, 51131832, 862575936, 272872995, 104586139, 253041389, 376741310, 623148201, 392806448, 957312265, 525920174, 619771690, 92517843, 71998890, 532525138, 799836601, 894761205, 777944174, 998119805, 908067505, 960907103, 170467469, 433412842, 706408373, 899318553, 574232494, 397668619, 724395938, 373900148, 654359332, 29190375, 430689943, 537324461, 964479876, 648687713, 692959099, 291549369, 118351976, 31468736, 511944677, 433038799, 225827357, 877420201, 604202435, 100372361, 119560538, 500305077, 110890704, 528926735, 63898737, 304887385, 200351776, 16622586, 888390380, 524418087, 61720582, 168980055, 641537383, 782928729, 446275845, 388706080, 795672351, 84196511, 352867747, 90387016, 687357743, 141535383, 535897179, 199150852, 770211770, 714930526, 813753797, 358169623, 509583301, 323800088, 329081171, 627663778, 542629583, 893572152, 808897029, 21676936, 321444111, 890040771, 419031499, 57174432, 958086138, 62970998, 132639614, 884649741, 475442008, 322484730, 538916343, 972659109, 318991613, 813558426, 784412990, 539734417, 353766044, 424146614, 922987671, 987832222, 318773916, 817435968, 883342491, 93313430, 693726703, 193940505, 763490119, 122716231, 537459198, 992797103, 402758600, 959698805, 28418269, 756829588, 716934077, 670044153, 673016943, 224754607, 355654555, 499097807, 185270360, 252683420, 318046600, 839557368, 121355806, 959136107, 302058514, 369294302, 30124490, 739053370, 875762155, 545584084, 481945030, 408573010, 258169717, 713174126, 525403420, 867728455, 810101285, 354039966, 710174797, 123925783, 810675694, 653673843, 218459093, 553352566, 801447018, 676904661, 767484399, 168613594, 720748306, 986259969, 825187006, 807808193, 430305832, 977061181, 148655633, 720982973, 622445999, 786052482, 982197373, 341724441, 533375774, 958630913, 978810689, 724908783, 988443599, 837509084, 32219604, 385431374, 226358341, 613740258, 379769458, 323042276, 618754013, 692011117, 281179859, 990739015, 986516624, 320044899, 300192694, 168176107, 960975833, 446091819, 927535613, 434451288, 71538578, 65848552, 601136830, 283724599, 689202374, 558353034, 968919317, 160357291, 28771210, 896752953, 115432121, 945712699, 253295630, 714189343, 507578414, 729906778, 998674608, 376486880, 951255478, 173019428, 75626088, 291330388, 361215161, 649997081, 27545766, 944048088, 790642193, 820770770, 210794370, 569317222, 90303921, 348507024, 536809692, 819514333, 785653548, 401859531, 396594993, 496173659, 608928623, 360190803, 691586465, 964987427, 504737390, 940541748, 165090036, 860558064, 711731631, 85488753, 792807829, 350476045, 548948506, 389287872, 520203243, 939426549, 346554620, 846130404, 977352801, 498043624, 970801881, 842514970, 946335129, 992910584, 272740605, 81806327, 570216787, 323149721, 369041490, 976835016, 715962143, 473490759, 468502922, 194654360, 943208710, 985654813, 598758468, 663693760, 718579099, 726068100, 979237301, 820548764, 905598620, 523878984, 709621459, 581098296, 929715571, 277182700, 496801991, 171039728, 844699439, 425838233, 513537340, 689629615, 129970430, 843702445, 318946513, 391733750, 828383550, 690096739, 436054728, 187810346, 178389, 457167612, 936996915, 551639640, 5846035, 860397392, 36949753, 167955141, 551124183, 684789382, 80832814, 120767799, 748447041, 464463337, 393517151, 298334742, 788983270, 963923651, 721196022, 623739990, 62979180, 799492302, 280149323, 680898054, 768729512, 397914353, 339349649, 89254434, 650633299, 854264318, 9386729, 96230876, 287843541, 291448783, 913316075, 756143629, 710664248, 792317781, 100300069, 338517818, 470504383, 237931559, 641167002, 902235020, 472967571, 641973029, 587136478, 53257935, 338798995, 262509285, 506237480, 11454084, 72074919, 356729920, 279046712, 893517716, 958553895, 151910978, 750219293, 791261489, 510523452, 218494203, 756814018, 708683240, 683156593, 459261790, 723803377, 430184209, 98738853, 809689732, 390904412, 558154883, 16810141, 177351201, 949976257, 818495985, 977104639, 531161826, 160719882, 242824412, 567086834, 757732385, 194690372, 30981804, 647225383, 330903628, 95314536, 580577116, 703930795, 70776127, 108617582, 192861382, 57480222, 330300381, 273096522, 286798446, 784563241, 633866021, 840448211, 833971239, 532077371, 34282928, 584825606, 771596988, 830419943, 276806154, 446201731, 134645697, 806647140, 585766932, 396198879, 450973815, 678896424, 88556859, 216768618, 9030966, 377765831, 831818853, 661402550, 113376235, 170865500, 73946406, 145993264, 944491310, 416486181, 965862657, 853358054, 720107105, 807684122, 840862688, 831552701, 150353338, 289572399, 771604333, 957531002, 642601263, 252441534, 813379727, 333001789, 799609735, 969102360, 800722971, 359019986, 180253457, 282770854, 517559247, 264434155, 584346127, 384760024, 810486019, 406057963, 232220164, 386526091, 180474093, 879270738, 320801874, 807668896, 30065608, 49148940, 409055888, 290825524, 938569767, 381374941, 64268734, 449300468, 217572059, 32764480, 907147030, 763806728, 963508555, 894192635, 667901383, 187319332, 63315270, 904640673, 186186258, 848168570, 29693325, 31568166, 707739554, 921380400, 112667663, 772820711, 531802648, 380028295, 712814889, 695616945, 73414720, 862083694, 868284747, 48472463, 880710654, 636815059, 603158531, 811261678, 362270723, 968370954, 295673964, 213895956, 13672225, 658452344, 185198747, 10939697, 111607572, 132902160, 871087419, 719248039, 991270288, 529020287, 982852062, 601183052, 457632554, 26144114, 382718073, 484903874, 277164567, 345415366, 380482255, 915795511, 213351207, 412248132, 833045706, 16656250, 494855585, 432512645, 752402418, 903313188, 116668958, 390116708, 83003780, 371643102, 733245495, 56786792, 598505650, 908252362, 310815448, 911391064, 841337174, 720629046, 37362186, 246512286, 864383596, 239955567, 572125433, 727011545, 889972784, 421156585, 696763820, 43513614, 768320761, 140014801, 733060491, 352805615, 807737034, 643187100, 960747867, 644711498, 524858653, 434349476, 333210577, 524832081, 233525669, 141608495, 507902054, 211307056, 515152835, 999382385, 700390881, 50879954, 914547479, 511545823, 93717192, 129810177, 177381126, 380447798, 917694128, 680252483, 139431398, 662298739, 729808606, 791968970, 454254072, 228129159, 644615650, 688003839, 150984680, 186804538, 647073938, 449563575, 225885461, 650510806, 655412978, 318912192, 909617993, 810597461, 214510079, 942205639, 380893663, 151642678, 413963359, 289888282, 183683368, 898490576, 14593444, 907568468, 612935153, 349395179, 339255690, 723062246, 17665630, 536038589, 600580428, 706759499, 237710657, 48602062, 163876870, 644710735, 902102474, 969216310, 903703587, 516011592, 283442362, 933525067, 795143459, 322806744, 417135748, 142625094, 489995324, 627570474, 914650037, 435368511, 590825506, 915782858, 425811107, 282249650, 654080931, 989744328, 41439886, 285791079, 681389548, 371412355, 680044976, 973418393, 339204829, 281126655, 8066977, 636037358, 374311292, 420045245, 957823748, 793672699, 131648991, 110286370, 684884228, 640459948, 671037555, 942729905, 749917081, 332731366, 341433391, 856332981, 717566720, 176598030, 561387074, 260205614, 791676625, 977875312, 158099195, 932483633, 661052097, 75616315, 402023943, 622630966, 966082147, 114831530, 368446918, 983384961, 107529112, 151623176, 347735278, 976306294, 833784128, 504302504, 471896788, 281074202, 753754833, 50880773, 191187901, 794222434, 763015896, 740953357, 213807339, 587504997, 336224476, 356624371, 463172081, 556685452, 806986642, 684621910, 685767379, 133203477, 896386396, 172277519, 953764759, 279711630, 988591852, 383800093, 393618362, 744776328, 988710201, 777809274, 474282693, 292371774, 655803016, 427515150, 200068539, 536056906, 267899770, 978897615, 932745638, 23535974, 911728439, 135110054, 101854150, 827400101, 981329957, 168047412, 66992994, 41428311, 139203394, 572000707, 850594011, 912677251, 149158682, 676597898, 570999380, 258310731, 948951857, 352973301, 656499135, 462524481, 52008397, 309840264, 74060455, 816766249, 502445540, 978612904, 367869586, 141763556, 284235098, 125108287, 699361872, 314445990, 35091782, 7613634, 206137822, 231354981, 607690276, 742127027, 96641129, 524899947, 728702811, 924839953, 287425686, 969702835, 833961310, 857977531, 729039394, 407403875, 224404625, 384004608, 335068173, 952902123, 697036412, 866022476, 8805393, 18195363, 608287548, 192835053, 230605879, 649881132, 547798210, 68844484, 803441561, 229477871, 838297731, 862547618, 211000726, 99110347, 295553795, 578484841, 616353020, 861890374, 609475303, 442937948, 315838278, 191383817, 498981832, 723098701, 877491535, 862798902, 60763151, 586990806, 808950578, 642944658, 516653324, 11009758, 970574247, 281701348, 657884340, 134031783, 444408013, 392734749, 641997054, 427255170, 342403090, 879459562, 991283817, 554869371, 897341502, 537130783, 134609461, 866640280, 773369730, 990505085, 357737369, 862035498, 754223881, 204650576, 489658717, 599839898, 221408866, 875151890, 119586588, 616839026, 631827160, 592181816, 514076151, 863427531, 735834407, 958885028, 355476397, 807909950, 442918088, 245441307, 904388717, 968919259, 738631437, 242147484, 66624870, 300313478, 300592386, 509493852, 306030235, 990071527, 866121822, 704785869, 855093344, 985288152, 978157199, 106100404, 800239170, 433698139, 269137109, 476489242, 56479193, 745257585, 402207595, 999703049, 189517239, 481595187, 976754521, 908372202, 77918038, 215199638, 852353644, 991864228, 173697627, 604517310, 207497856, 764633311, 966693628, 949241644, 172193512, 392935787, 400515113, 270590491, 365795203, 757123802, 824246620, 486691927, 624275437, 851693753, 992601663, 257262673, 165670786, 387766211, 798848030, 509541284, 658576651, 573126393, 103654910, 550343325, 34915842, 187921791, 893025971, 534635790, 754560061, 682387083, 352556639, 427293067, 644424007, 807641912, 156697438, 588593467, 815567150, 559251333, 627167377, 171121396, 352165490, 156972319, 998526231, 80894314, 375992578, 777700068, 942357362, 63553054, 136165269, 404471230, 991187489, 886481513, 374270943, 808431138, 690017518, 709953910, 974387008, 45209372, 280033642, 24935874, 134223175, 74813421, 571988679, 101795767, 273305871, 590474190, 793279387, 327037430, 974476626, 618365560, 907359888, 971828562, 910420034, 403728229, 726967423, 624190226, 648672440, 164180821, 991245222, 859615046, 478577875, 322001978, 878243800, 127676739, 699747955, 25344265, 845017156, 433842728, 31940292, 642675248, 640164987, 450630488, 372439814, 199584275, 247162042, 355370250, 219815792, 819384742, 977107706, 612862470, 705318466, 677474842, 357207313, 173312387, 385004993, 652120036, 606662918, 472485912, 173908182, 103850283, 656698187, 26458390, 662938914, 219770858, 359603318, 320600395, 812953112, 784243307, 515008440, 192035988, 97233275, 62664174, 44420034, 756045242, 697044354, 306690774, 967748873, 650763199, 456264025, 112876478, 227655047, 714644464, 759881671, 415263421, 145704879, 265226236, 179245300, 584448338, 786868978, 777930829, 816845311, 457515499, 6356144, 384970527, 973253077, 154171857, 457551835, 996499984, 175458671, 315533653, 118385025, 686068090, 128960988, 136482992, 825381546, 458933728, 826102058, 536981578, 925147859, 488657133, 243499607, 76734917, 130485461, 196137242, 714775894, 213895668, 964674963, 158936017, 651760668, 69276653, 957318116, 332015205, 541701613, 9327603, 332793181, 364278566, 335372252, 864753442, 89950097, 965790534, 252334030, 294611692, 426986254, 893070498, 63897006, 72779481, 926722646, 271465376, 203400850, 532791352, 661895773, 299501189, 830078238, 952889430, 704503949, 268244967, 360227433, 138871662, 999905128, 929147265, 206552001, 124261396, 290510500, 845792959, 465434092, 457342551, 504524517, 504294066, 476008084, 580906199, 776941451, 898509124, 22159961, 190405551, 733825520, 577399405, 742221288, 117047792, 718683141, 573393974, 675179954, 79664439, 840260737, 942702021, 425507550, 841051000, 415229381, 150817953, 472718408, 888785269, 10383905, 423295280, 140062946, 581067096, 205219547, 606820767, 290832609, 617473042, 930312931, 442153357, 58118983, 864749857, 750937094, 593200634, 674134571, 24734862, 775716824, 694650418, 912421190, 385371526, 76923387, 557849777, 434252555, 952274832, 788908359, 256582123, 778725243, 210844397, 575411076, 231016532, 199849448, 720848558, 820005705, 364450693, 764517533, 488235882, 851820855, 405109715, 277787487, 147721503, 544914971, 491203230, 697897250, 300017663, 887121662, 481500212, 510548480, 717469553, 454316318, 588911962, 66939277, 136435194, 738475200, 555834576, 749586347, 793925912, 542377600, 725613364, 526150137, 349921090, 246121008, 643817236, 641776021, 257340798, 762785349, 566790695, 975218974, 720065834, 598331602, 693677126, 694834118, 299335997, 691213745, 924308981, 900605984, 12563288, 252864822, 4795025, 231855517, 889088813, 424434076, 789865225, 978603876, 508586783, 956008287, 884635739, 304095507, 876470102, 531941854, 794186711, 318598930, 570260988, 864901937, 554170521, 679492880, 169197213, 21223631, 201379034, 318937622, 506421751, 459096078, 918287107, 605853777, 544257612, 528718262, 65434841, 424853080, 172215585, 885210109, 873592285, 480079760, 194222640, 650547659, 316799650, 651658766, 401576480, 929713423, 939239356, 163799335, 790508583, 566140178, 135379711, 647461003, 350424979, 869884378, 253584236, 914798243, 900530967, 121879908, 618024158, 991863649, 824715879, 960610001, 876098450, 792873602, 889285822, 48244229, 137905533, 194972363, 995232400, 323360100, 996634770, 45415861, 627475156, 91288366, 54383516, 815228673, 311980673, 278849543, 119293782, 773216332, 958329382, 774487099, 840319937, 724356825, 134651421, 625234433, 224762057, 540109041, 986456775, 574097070, 173044372, 688892911, 836638986, 503939283, 952139913, 255150014, 939508698, 925225447, 759836046, 588219392, 106506049, 750958346, 387565560, 9587423, 441472422, 733050538, 807872632, 627372907, 82433711, 907617479, 977821548, 932524446, 159033448, 657795795, 364218784, 7452197, 70261052, 327227019, 240163647, 668916487, 852436194, 720068343, 768858665, 125664218, 47724672, 881402304, 630863796, 943503514, 152730682, 295990036, 178217136, 119757621, 883619189, 333452395, 231550579, 958670728, 501360412, 553602047, 59849587, 788225878, 156470367, 278984666, 596422504, 198156000, 279119079, 220565538, 295208193, 468785881, 989376477, 536639733, 587797769, 829565916, 665856423, 773388263, 491809459, 544083359, 484503272, 266674446, 732747022, 422726996, 618586808, 970425575, 285012304, 953764511, 654032233, 422692043, 201394076, 993889648, 72562110, 266771542, 899158118, 67325674, 299562366, 996900181, 579119656, 315597886, 475433331, 605894978, 894869178, 69289373, 166949962, 945229278, 995502918, 77620385, 894026647, 1140180, 525201908, 958152543, 161920162, 47941701, 509530537, 753241634, 626565470, 291570224, 574845715, 806539822, 485798031, 579542283, 335929098, 850443702, 735854197, 78793918, 695662296, 389008580, 975166401, 126557359, 667755725, 878920818, 822176557, 335149510, 416913212, 176954486, 375365867, 204128446, 126747226, 971090374, 262374833, 865038902, 59397185, 473311355, 737270652, 515155925, 220296370, 328790490, 769213223, 238791836, 411720090, 767798299, 874534737, 690052515, 448852897, 111558252, 781517461, 70824242, 555218849, 163969758, 99859162, 655255794, 31459848, 536365815, 152422368, 219917265, 219398479, 708500052, 614025521, 618087731, 227030371, 452906413, 520530598, 395405120, 714570567, 858782670, 875100007, 28594681, 590585990, 475241588, 908162505, 658670905, 510204037, 15678560, 635022879, 97567117, 17738315, 834950235, 483952928, 586823646, 519653674, 517061577, 523352893, 273681271, 339488461, 888942365, 469431070, 336520990, 741973577, 948491313, 970652124, 942084193, 472579232, 652790494, 980443870, 617366837, 805740706, 937374493, 898262045, 233282822, 376516786, 471701632, 410119332, 395637425, 707192300, 817780668, 656633447, 441131980, 339502835, 648889412, 386676241, 716784576, 786540950, 53439464, 327579616, 338191277, 47387614, 80976197, 646242108, 770339012, 228083015, 776093508, 294378752, 94327186, 520159269, 411352320, 225853987, 39170003, 733991755, 893040309, 900239556, 141003937, 793943664, 163523360, 245103034, 905117537, 463876886, 723999852, 40676761, 698178233, 281179793, 755114713, 966137881, 373683905, 554974332, 274488152, 586423515, 388354970, 800811027, 483487994, 102339506, 255677212, 46485530, 340503432, 168766321, 582942662, 182151811, 869269818, 720274937, 413865913, 311705852, 752795096, 225305931, 767645282, 879602793, 981873702, 633151794, 464322695, 871889403, 120797509, 557019306, 162538943, 207060485, 974281350, 743450375, 385852862, 633260250, 842261591, 654814907, 285292685, 171800370, 381194895, 120084661, 703627110, 285926371, 530514730, 387206379, 281390570, 170575199, 702516668, 105812482, 372846547, 147680562, 165432477, 831367530, 609290036, 590157782, 950277372, 679603309, 825204961, 764693296, 521457044, 465198166, 930688062, 727187334, 816509530, 962740325, 369826584, 726925763, 54543311, 582121043, 478019400, 847878185, 46662299, 625175652, 827281549, 402830592, 358643268, 865964286, 207668915, 321564478, 324744944, 19381972, 558414746, 627060711, 437238959, 678437431, 56348268, 38062589, 904233036, 281142684, 646109706, 45345272, 755864105, 588778789, 584977738, 96845958, 589569433, 961718777, 559665184, 604232887, 314356042, 901150853, 884959133, 688095791, 177059026, 962960672, 951981738, 700917485, 684640743, 609881311, 5866040, 781196069, 910091238, 899725556, 257502273, 71856604, 342505075, 434233161, 61449295, 174790840, 983857156, 207529877, 992580306, 220711322, 953511584, 153975731, 357274757, 303407239, 959124204, 342962270, 751326366, 284906235, 550981694, 532126053, 901880569, 202409853, 50387041, 848526135, 180659014, 462936616, 86448329, 805286929, 432595240, 139953269, 23987456, 909282381, 456968555, 233149603, 986920265, 292806821, 647361597, 109010573, 84196307, 910076493, 17221826, 831033961, 414498780, 855614469, 11557460, 302953619, 107401987, 405788525, 280037162, 229178834, 511277053, 551245746, 735121756, 694239103, 249053923, 32280602, 990061944, 393057915, 283963231, 267536251, 258608188, 524677539, 259261730, 92340883, 129522353, 88755555, 582613026, 970336595, 324612297, 394378180, 833996358, 54665420, 303450036, 563432515, 19159866, 591211177, 656266471, 355567531, 899964335, 784438194, 673083717, 226604012, 644142670, 5270117, 525642091, 353630421, 848680619, 186066950, 480479881, 828234435, 575284408, 293370703, 819899444, 413907536, 794344062, 690346577, 369752653, 309089482, 238225664, 121323316, 37624528, 668680676, 281302436, 326104531, 742841720, 809293233, 27566545, 249666650, 162610151, 840712406, 51799936, 144759137, 145108939, 669690204, 125484174, 301911372, 553178437, 656615604, 573475792, 526212945, 237275970, 578901040, 538148928, 764298410, 650824234, 831295213, 620968307, 523430535, 775717986, 407502645, 750025151, 778150837, 259332986, 803423323, 213922652, 213015998, 952925204, 4778185, 235425962, 256710139, 32460460, 866359548, 449296215, 784104078, 332752071, 914814044, 938443974, 203370191, 814355324, 509378241, 956347280, 989202281, 278305900, 973989630, 673544508, 132012989, 791974625, 513091592, 279736921, 802818415, 169939530, 339601069, 507495300, 790805401, 591061974, 626919325, 679783371, 988962336, 216620794, 236265932, 597252954, 395594014, 280033836, 474416390, 634788514, 920389927, 192938974, 602847991, 413722901, 448780884, 953686715, 804494288, 186950156, 55701861, 636115082, 354166339, 282489905, 9207792, 197788341, 673229655, 125653912, 319024504, 188342261, 955311124, 504593987, 414089836, 738973205, 72620727, 607796283, 796900170, 501430097, 900424001, 851798908, 418974087, 444721669, 377662481, 432838887, 559205089, 534727171, 48070046, 899379919, 975018995, 744934772, 440756132, 750985430, 70177720, 267853929, 653712622, 921599967, 331818032, 679086634, 150445478, 901946301, 127545865, 668512036, 931741287, 241556819, 719689734, 364137602, 53606727, 315052832, 171486700, 375063986, 552924690, 403986359, 883047858, 30037072, 370467725, 975795756, 206289139, 990741558, 861185956, 498671028, 300933860, 807196563, 803811048, 884279796, 749985533, 964881722, 681974228, 745169164, 188666053, 397029756, 535516306, 138655193, 957460599, 915928806, 979468529, 390397629, 974443578, 217103168, 143922150, 846394650, 220627051, 240315661, 92403626, 935873286, 361298821, 539625736, 188770673, 891498722, 420786726, 512604613, 590487653, 665906781, 169234336, 911893821, 565456366, 842348452, 293840968, 177424116, 76922978, 598571940, 689267581, 401836141, 724215277, 169813697, 511564131, 663223201, 331561911, 690069199, 331965540, 959900942, 129198797, 873391339, 957740423, 695410670, 678441949, 334636047, 271354556, 680883260, 702022173, 829873591, 116180875, 347377518, 785257163, 310360502, 748146261, 693218536, 349353757, 103553344, 15386643, 215329538, 25742085, 782424322, 793001903, 886309013, 78453845, 654748408, 485540354, 300583553, 643477137, 814843047, 488312339, 422596818, 533769993, 624079426, 376270178, 885586631, 910745121, 406326706, 651034229, 945986871, 390064788, 321973268, 183082176, 486723422, 992500146, 513275376, 381504298, 941935378, 622767573, 566753028, 114469196, 695072566, 177556310, 749843415, 894344649, 612507419, 43682101, 16207285, 68372558, 720787435, 333412195, 812878450, 648599748, 505626768, 850104833, 789088845, 227783436, 245286120, 259318404, 457598721, 72462829, 502449778, 962991473, 269045645, 323655169, 848912997, 583748577, 969863176, 33593903, 600518228, 970489235, 635147900, 791807389, 183050226, 936774078, 121805868, 250150651, 90303292, 149502165, 197762836, 636700465, 780415384, 215781252, 518946395, 60989490, 557725781, 110762453, 813521985, 793394695, 136032405, 498702897, 561222917, 814638836, 126763465, 887092034, 657468523, 60539862, 275171972, 394782715, 203246617, 591192195, 517784145, 485329479, 960594924, 67824617, 985005383, 645377949, 265006138, 965354193, 493997765, 225549308, 424775398, 873422677, 100835877, 523361186, 634604850, 679520485, 343423085, 610824136, 667600080, 711010205, 677778021, 465092210, 577025022, 367102946, 544897681, 249145118, 483116080, 930727221, 121954705, 320182857, 106706148, 231033, 424160064, 478510533, 171317026, 320023488, 562993326, 537271712, 180066821, 219321751, 937130203, 98536165, 524648869, 764828169, 160172181, 32557975, 941423760, 428433102, 709936115, 483515314, 504702594, 841976325, 193967310, 23549085, 8961430, 181825729, 604676784, 416747268, 865733406, 452134522, 854334811, 256469379, 168972269, 888333947, 573935886, 825508019, 308822870, 307969133, 883590616, 717092192, 146609754, 313399444, 296960034, 24908682, 579015318, 823745985, 319639932, 336437521, 976261568, 588170038, 325088270, 303886179, 284628535, 506179186, 936850059, 829888271, 712020424, 929266749, 444552150, 733340315, 919067338, 546155584, 89169203, 217145688, 251909564, 249068836, 198166527, 92825061, 550770686, 121525901, 980682541, 554282612, 320540684, 884866828, 639489386, 937583969, 215136796, 29878957, 23722858, 866591837, 969035846, 911591563, 574422297, 3424448, 698748719, 939135691, 257455081, 382762986, 531509906, 253866805, 107510532, 435157112, 814573395, 730396555, 11367446, 288942927, 730005602, 590175915, 159950765, 482870548, 81237797, 43009777, 889331697, 66071791, 177439150, 369625244, 825303469, 317217692, 87361907, 275282806, 911375369, 181630695, 760677413, 143260425, 349107194, 461224181, 230162936, 343052527, 324486171, 344254484, 876831446, 406207612, 428205027, 232961625, 959374905, 951668576, 99168876, 385564193, 407321048, 513667200, 571263011, 155320525, 620274999, 672963704, 241177613, 840198719, 352430211, 741407388, 540399546, 549524813, 241608476, 609089510, 174041641, 22863352, 444665667, 269539533, 558653886, 641643568, 77483527, 786462278, 711697495, 676134350, 153560882, 215030443, 510248763, 742331728, 608695290, 556874509, 691199902, 61154259, 723627372, 964369221, 134288146, 565414397, 65185071, 853027148, 538756287, 362477559, 48799809, 137714018, 973993976, 26328690, 438449421, 331577259, 437490261, 18946228, 629779669, 782384052, 871068398, 774582973, 175763900, 547228391, 536115484, 141842148, 717751375, 174254948, 452864353, 438088888, 254558168, 909196631, 141585594, 692792087, 439956384, 317450193, 325075520, 901431402, 746887660, 249061803, 591630530, 179491900, 559256155, 250257176, 671019755, 832424875, 542730931, 297195046, 411014496, 352333860, 892517270, 459728845, 102660699, 77582024, 288041902, 601380320, 941858594, 283104766, 261574529, 744829524, 166667572, 147760694, 853988465, 131583158, 705417872, 332985959, 31651600, 228868744, 988847727, 249160160, 149749516, 144102726, 589848741, 315115545, 98882182, 419475081, 27046666, 944675895, 436442430, 331603110, 332114422, 993305516, 69896596, 967646236, 254361862, 622197377, 869499096, 93472426, 572269644, 989716289, 601598391, 977281619, 731819764, 880190352, 328537997, 768896136, 700445272, 928631462, 393585850, 29728348, 812426533, 25323752, 153063185, 891776445, 99893081, 884235874, 942110105, 228468580, 994506564, 129253231, 390953916, 18956713, 270731907, 87896119, 698763577, 536883840, 548939344, 815266445, 68367104, 447943571, 210655171, 561780610, 105806013, 464039795, 932069601, 777513439, 456513627, 829042458, 45366162, 78136330, 246532393, 465887098, 465510640, 723310345, 661234260, 120274148, 870537063, 763813112, 626785529, 952109023, 480432150, 116967287, 792320079, 719301494, 2562960, 308461832, 776856310, 33352174, 905337125, 280530001, 215534536, 425102639, 505942559, 907743463, 552188163, 673654924, 614388519, 17324689, 123425783, 596552474, 928485931, 404729194, 538704601, 696403858, 79257069, 155092539, 201693396, 581717945, 220712087, 516336652, 657741969, 620468902, 36503701, 646270002, 118949219, 630301927, 265156886, 716485342, 94510341, 162426105, 34925758, 700869516, 532221934, 289924537, 25312697, 542009508, 842707888, 409246034, 188797304, 546508972, 990265216, 531527362, 435479677, 591428663, 373630375, 366037618, 147901390, 396575650, 940847636, 347720993, 736378813, 549533335, 933870204, 634418557, 205184835, 632869096, 537709672, 686821183, 197977660, 861270636, 316866349, 219725342, 648924640, 228880347, 614947878, 780479872, 577552148, 867139034, 840425368, 888775363, 618096470, 518842869, 824075846, 555889774, 788070602, 29810384, 321309829, 962525180, 322804676, 615799287, 227944357, 5096871, 245564478, 22278174, 601731907, 643940705, 526482374, 498828666, 470779528, 989898175, 830983724, 261406310, 263130428, 238194031, 203996986, 785641862, 291558998, 857064994, 338952021, 319498750, 949619229, 536948095, 807497503, 238075631, 617561090, 741574656, 710491704, 236997805, 58180248, 225886919, 72716140, 756120188, 845102963, 330451665, 312121167, 300878438, 210005627, 710288616, 437587705, 696407718, 553144838, 184840820, 622600436, 559368969, 152790184, 223648996, 637999997, 701809930, 109109081, 648032328, 136301601, 690630137, 754894264, 95822067, 260494022, 363595969, 227177783, 683689074, 435737127, 174966694, 654311344, 621832122, 577605459, 257565699, 935377403, 14124796, 494646272, 55985068, 918180308, 392412028, 205007186, 538662109, 282510694, 971558980, 12096228, 600081332, 450100925, 169902331, 210253559, 67816274, 331325359, 513039530, 36454466, 244533546, 2101919, 722357543, 618167475, 474432105, 855090678, 487737425, 463139987, 124570382, 969499792, 458320303, 898733939, 149514219, 137209395, 204918537, 439489863, 446528036, 403153331, 878643306, 314766412, 880861432, 596514147, 195771695, 477183650, 667937075, 240759864, 252652922, 80341095, 494616756, 103901156, 998436863, 549896291, 895602023, 94994006, 745094695, 115399021, 689264916, 479973382, 966450796, 380279219, 844280274, 289884649, 293909259, 427405175, 921481605, 324484350, 605277109, 816242478, 538349514, 472056539, 74244594, 362360172, 856552378, 47347708, 767980260, 884441039, 12736037, 226673257, 659524527, 781807920, 233917950, 415472207, 609642902, 339714777, 103029629, 257708386, 359518804, 617050359, 816504226, 815883486, 820533849, 152197070, 875101907, 229351715, 942582181, 215575258, 591935841, 377896713, 975732118, 15726249, 57722077, 688250597, 434330006, 820368376, 962872070, 586161611, 213874477, 848139005, 652950877, 182491261, 442379062, 49782964, 741332333, 671167545, 191056821, 570274827, 881408158, 152443220, 651692882, 721325510, 166658817, 489621768, 910481578, 775827268, 541741185, 300159377, 694718194, 600324345, 325169269, 341642452, 963081612, 529915727, 686071250, 120684955, 814294505, 189067314, 156488849, 882801209, 18639796, 248021817, 870014183, 137571360, 787544295, 709022008, 493683204, 70426506, 607733680, 651452035, 420879340, 173019047, 967604820, 539748903, 313081807, 459827505, 437591657, 711491033, 430692346, 375674342, 816240105, 991666799, 82734144, 55838637, 555254508, 320739930, 337067692, 166344325, 89210077, 4611185, 545297314, 900648727, 711594180, 2007998, 424197145, 692767789, 683386915, 864907329, 49009270, 963129036, 89151931, 720844890, 344842305, 492171665, 67697682, 396976053, 374952972, 520940834, 35243450, 180391856, 594160937, 988791225, 972759390, 306035108, 723030436, 166351997, 447616777, 629178524, 350975420, 843358589, 164566706, 162998628, 995087174, 935274272, 636258620, 746045412, 734770299, 495160232, 738369726, 788703573, 444024769, 977058350, 501457967, 52504538, 696008365, 579759568, 975733758, 637184230, 833981422, 741546856, 367691905, 261757826, 210256446, 166072384, 720181679, 776864341, 58690804, 664574081, 393847953, 720940138, 813443698, 299935989, 73993409, 406635153, 62828285, 513242227, 92633998, 218041615, 732702428, 959863649, 182580009, 868842411, 177596073, 570261750, 221555135, 189694933, 507406603, 416872275, 451038762, 356395556, 21406758, 595651788, 648616311, 457167191, 427602022, 288767453, 584139649, 163737922, 524761180, 325425379, 571259768, 219047112, 244474962, 806476882, 70950022, 658599965, 258239512, 489901847, 742094937, 895265129, 760891463, 746769918, 351027406, 297694662, 321611068, 121742129, 890136363, 687465250, 723685941, 839362754, 854477663, 852766369, 213892507, 340525724, 742112115, 315502968, 295399225, 982768669, 895005412, 469984542, 595750218, 457298504, 541564400, 184505512, 573173889, 910298325, 532688026, 372973167, 759907120, 872637955])) + +test5 :: Test +test5 = TestCase (assertEqual "for (continuousSubarrays [545474762, 953787709, 674751628, 547108892, 139086321, 913984794, 455213752, 457371038, 837804203, 321301980, 622340159, 762005224, 508473801, 816102502, 114924508, 46789407, 657987508, 379771108, 196416467, 719296810, 495054479, 643462943, 12654004, 326443663, 440676053, 994855948, 95788762, 100456096, 270977958, 713933605, 740874937, 707881191, 521361591, 856258740, 718514932, 170403000, 175385464, 277230308, 624255322, 273359290, 953643451, 417501937, 798361803, 70944199, 962379022, 801126488, 109005986, 412779329, 318426048, 349405407, 598302991, 660867031, 1287363, 498039388, 655636954, 694997519, 513650074, 537106096, 30938447, 50239758, 504254037, 187552256, 870317830, 151919568, 869264851, 469086257, 222105663, 223490643, 893523557, 882450539, 549267987, 529469954, 823331810, 705347339, 65639947, 153171028, 265941837, 960051315, 292768994, 146881323, 628344033, 765468117, 857907900, 501562920, 787517433, 704861639, 11308443, 62725156, 607283388, 129346720, 348144468, 851306922, 344199521, 964292328, 128065732, 117805474, 467572364, 259778214, 319062270, 88533611, 126196412, 506345806, 441891684, 624403986, 870190098, 966167749, 858664638, 259225645, 985568593, 240806542, 796991554, 651969579, 924176268, 939796052, 377908036, 255806797, 181631657, 583668594, 429223101, 874833713, 412446693, 587837591, 958218101, 640627901, 177088445, 292216349, 193286102, 650633109, 853390624, 923312715, 362299943, 658210714, 804686394, 515526266, 451181064, 662930694, 626753689, 783555897, 12400310, 651814387, 938473743, 921168035, 391708552, 990604624, 979125847, 390093813, 825136930, 336454227, 376681215, 295643059, 419679702, 466493923, 73261819, 810794197, 487436405, 647687668, 233793725, 421738676, 898054550, 954533970, 103780920, 258582691, 866068063, 769182044, 998691651, 216046946, 570575460, 722218063, 359388980, 671059253, 883861116, 599293317, 30980739, 148289732, 358975391, 392969658, 746363205, 135600987, 710084864, 763429926, 323673486, 482258903, 499559815, 867845406, 483136077, 607104626, 16356966, 292267078, 422213889, 760807147, 567904255, 188239674, 673159479, 948735836, 882373507, 465742361, 506189533, 780640488, 752952151, 558539784, 486650725, 925079399, 291818571, 280039695, 314645165, 827470841, 73409681, 371218556, 216918091, 255693008, 667729327, 157759, 84608120, 127134321, 619916149, 327789042, 29728282, 876431758, 885622384, 482327881, 339660627, 352158148, 589081320, 396738219, 42795378, 803488061, 611767376, 960250059, 684476138, 197317093, 950355897, 406931811, 24349873, 970957800, 768442025, 754695890, 945932300, 136657174, 741180125, 807693202, 787725639, 360386485, 206012637, 519172129, 443867048, 81643105, 299588156, 218403345, 21451125, 616192657, 846590558, 443337316, 869802114, 421812875, 185371674, 257591463, 625879557, 78544716, 480628532, 627635990, 802455816, 921237920, 487488040, 561862634, 230240853, 773074864, 390584721, 232335660, 652529420, 448011690, 8324566, 335030889, 806053899, 940893509, 619360012, 723933263, 972239726, 714735400, 402518771, 742677165, 71418875, 296399566, 502505589, 827333130, 921605726, 143917835, 854959077, 895195342, 46950801, 675823938, 793162894, 446665270, 69742208, 418936131, 335363404, 614036870, 478481976, 971486173, 535186782, 838381379, 554100015, 598992997, 696657391, 870254447, 711831205, 176323343, 417694819, 151955415, 167281484, 448398683, 486830952, 593857530, 34967712, 824252004, 711386403, 402415956, 308979473, 623988414, 297692250, 684000792, 801637230, 25551290, 47406041, 339996352, 578815397, 997125839, 346630568, 445549892, 536888157, 712676461, 893316267, 811898762, 232287079, 341088297, 772011188, 693856715, 506001495, 856328082, 847418912, 575406390, 596785758, 774764468, 889530908, 966351783, 882592495, 340930891, 553807837, 123214609, 654854481, 978491472, 773065653, 776036754, 434109022, 219322095, 716182903, 628698585, 585623443, 125470931, 896459871, 730677023, 486053605, 365888700, 828118172, 896692557, 241894416, 63500807, 721254487, 117459765, 800286276, 329169937, 139984775, 456143947, 224908111, 600061356, 619292656, 58115536, 820843928, 685023287, 906494665, 480558257, 17825086, 621866055, 279233987, 655043510, 803392170, 251772159, 759906701, 444886526, 703414433, 85614203, 449268379, 293106900, 620959312, 845176523, 389202392, 788358775, 593593095, 922865226, 225037727, 183064595, 289253763, 118446192, 657233912, 364740200, 980925159, 693694199, 889243693, 403977707, 849606682, 872903781, 665011827, 343570614, 694238753, 115686435, 386119859, 540127512, 92791100, 810369430, 73933972, 311821610, 477772414, 927807719, 897029559, 742243851, 677803148, 98629375, 660516032, 342403461, 680146081, 867895850, 684963515, 77257011, 828987793, 478516366, 806952055, 870457563, 159392578, 939188936, 736487428, 437405433, 178709496, 841991515, 974735087, 130253428, 878145233, 526259799, 900845676, 374434377, 975849426, 757178258, 966787063, 302266026, 566020965, 61328760, 485590426, 238707687, 541324004, 998654768, 5456994, 117168740, 943595809, 926590565, 483231730, 535417750, 113506112, 938549495, 660732544, 274494701, 226314107, 625050478, 408899361, 635160847, 473933508, 383932427, 269667017, 998850970, 671265289, 44704132, 631168982, 904297704, 654040943, 649082038, 704955159, 23179026, 219543654, 886638783, 490363439, 708727854, 341920967, 171857227, 566349222, 326658879, 351134898, 878098244, 163527856, 444522521, 636185358, 165360294, 883016603, 307589084, 1127876, 297094573, 2266870, 773320646, 449377654, 411159915, 991928672, 865085084, 823684697, 526299204, 189163363, 450936725, 400494331, 984643951, 904036482, 633380680, 269002587, 145582883, 990288863, 818395328, 591997773, 653587918, 283333259, 657517832, 121590451, 406976514, 86341578, 295248803, 842841358, 318955430, 866162711, 369675805, 140687209, 304949464, 451470721, 831427057, 924145515, 933203451, 896902519, 188560232, 721521820, 108724259, 884227111, 610251465, 98122207, 990137877, 136448228, 271610438, 396784217, 391952157, 365569312, 517400730, 543789050, 248576794, 686942509, 91683708, 161802583, 678197563, 792922455, 883944849, 240477286, 909619908, 899484842, 31218726, 489212141, 128414243, 434785859, 301813582, 510916403, 606770772, 560480638, 924010217, 29758439, 573495626, 306790691, 656871980, 188519384, 591351428, 434265823, 319057051, 616827891, 618236668, 795953631, 401636033, 108600394, 765687252, 192922795, 47122622, 149055472, 312022541, 919094598, 968937120, 273189234, 588170831, 674991522, 995665825, 163566593, 631901094, 676082689, 245491590, 170263264, 313268266, 398558884, 654178111, 586145685, 55545839, 62681921, 652472126, 661456537, 943362938, 648407692, 874675248, 400391181, 617985661, 600650899, 500102731, 742685142, 431436545, 515024357, 894852168, 95010406, 393126650, 718767077, 143355012, 287816003, 445061639, 687716793, 986302907, 46160337, 328768315, 363690151, 442972337, 868444648, 981732261, 873563843, 973373342, 441344806, 440848829, 541238310, 385022583, 151948139, 663589540, 59689588, 717520943, 453600351, 509327393, 344240072, 775178739, 562700376, 258352741, 319843064, 472851438, 51278135, 146737094, 220689807, 700320382, 837332102, 762385525, 399959971, 340391529, 506350075, 309244592, 922326445, 308581072, 693856672, 435122256, 549415026, 943761953, 878234910, 38686776, 341990619, 332794128, 163334525, 436719687, 57646657, 917462331, 850315480, 380669479, 537835446, 204877363, 699662373, 39358988, 410026675, 94768102, 329948058, 721550840, 825553659, 304712541, 196325200, 607009647, 945395785, 967956293, 388320607, 133243535, 640342851, 445277384, 240854060, 469239245, 221896301, 325377114, 171457041, 925879675, 607293320, 53067765, 740263642, 898186869, 169410240, 948730095, 941019494, 294476646, 178250682, 305501864, 413087864, 924901626, 458315450, 958314557, 590331576, 75593805, 97061820, 145043190, 162473687, 951836985, 962466400, 167018333, 341206137, 134960982, 838815629, 382897871, 599308775, 101595843, 493804524, 230089706, 14722163, 350127480, 403371683, 613235294, 915894561, 834618526, 475187293, 27401342, 25363743, 932209539, 493936940, 524781045, 341384337, 885707986, 931029183, 988701420, 283148480, 935006656, 137668991, 874762225, 269100666, 90798739, 260988534, 126779018, 590532967, 97365741, 140736498, 714123802, 145722215, 722460160, 490322286, 811290287, 67742715, 713677709, 39743735, 332639627, 218125803, 713378338, 824495521, 802155217, 464190961, 508591532, 782584768, 62270081, 473801997, 780246306, 492962814, 596922368, 830159474, 982171716, 485473444, 748662054, 641029558, 211481352, 142625254, 754603067, 189617175, 441925744, 147899125, 860281759, 721251483, 864773403, 872633785, 33285556, 512721503, 163153735, 923076165, 499134592, 305679331, 52448476, 304471733, 904986224, 180173469, 873491106, 54145038, 850413878, 907977403, 729927922, 811633977, 904950176, 967333052, 873826354, 201838752, 805215738, 401471602, 198851990, 100308971, 820767311, 271177128, 626224830, 878636669, 766515865, 698046510, 94262611, 91220413, 34511572, 369678587, 136416738, 135295118, 835665387, 837010861, 1778766, 188983056, 520636238, 67932808, 842490299, 537076134, 257837150, 254214487, 640539077, 163653725, 365902396, 360638622, 747990900, 366004316, 518292904, 316433552, 864242416, 553070922, 855359306, 274710491, 30862493, 371214965, 74018785, 860725025, 23212647, 773378365, 244988883, 23911823, 995715530, 619254393, 873229435, 906485693, 802772084, 109348094, 337709190, 360376560, 620412528, 748806078, 96927764, 645692670, 515921770, 829497017, 319535006, 410349879, 365477827, 825984480, 420095159, 907728075, 453525347, 599004529, 524492831, 573007531, 588571259, 845043093, 659303990, 897664755, 689141490, 553464385, 612402452, 373088932, 290561218, 547062193, 182482668, 552490321, 631921117, 410498709, 897645415, 334252520, 853354392, 481839029, 499111479, 448327286, 758790177, 942150784, 810550498, 325945856, 864779657, 911600156, 737246429, 721670995, 370483014, 306381760, 582988068, 606736194, 528288688, 684396087, 981207893, 889223032, 452556604, 545934929, 432351484, 76192129, 24442032, 559427512, 118522351, 324985000, 602642254, 479431557, 820891887, 169957371, 692922048, 418135756, 575759197, 409144974, 546524375, 212836422, 869372143, 739934065, 103096338, 71683468, 166537114, 274182811, 152109497, 595401186, 943372376, 769966230, 376541867, 755512473, 826110380, 675752392, 767459616, 896331002, 624758059, 740305558, 560126549, 658826649, 539109044, 816910325, 566750152, 471067553, 688551621, 741199527, 52483806, 953002908, 730160068, 995900903, 331283408, 968015001, 4126543, 976093594, 862752300, 398483383, 659408192, 237199285, 348457285, 772972019, 480622739, 406044796, 751533503, 863596949, 571567136, 352641320, 668049650, 826962409, 690997860, 910314042, 713494248, 600901841, 688516875, 214834897, 177692862, 531026235, 990390602, 43541428, 617020987, 570722474, 162450513, 635827725, 63288761, 415548905, 286793206, 714088196, 940059162, 893899441, 749707054, 54067503, 27553999, 265237786, 264657154, 918428214, 542011994, 973059413, 979487296, 445331640, 21967865, 890594067, 768968716, 635514547, 575301384, 855634337, 367200514, 675846346, 642148298, 484407741, 221163342, 533925647, 843020373, 625603149, 916232486, 873072403, 779163460, 454060507, 75836, 7985462, 736721012, 383345697, 742346767, 660760312, 879114550, 29098064, 960655198, 426890371, 931812190, 428746353, 461046966, 494984288, 141134427, 811563191, 78726270, 588642920, 393699714, 142913769, 518877134, 604838140, 556676182, 152929184, 602798185, 910403651, 898625854, 626487224, 266034437, 725262406, 889614366, 597343152, 570666408, 218575288, 434917749, 516664, 944606220, 308338510, 871383776, 734925803, 297242798, 23889061, 627743907, 801456652, 575033010, 368240050, 672023672, 416777299, 789532761, 715855021, 70299680, 243983876, 33760751, 793001861, 750079838, 917145769, 643627426, 135779765, 721092021, 349580710, 937386887, 885945353, 528411233, 381325889, 774124795, 555778758, 377724189, 948995789, 430383986, 977767872, 411335735, 142426216, 80314555, 960647770, 840694797, 793202061, 329255107, 140086498, 532839916, 176196362, 57914219, 508464092, 992844662, 436809653, 212757427, 65689962, 366513380, 889148347, 837903010, 239554660, 779049456, 519381998, 395974210, 966870175, 474141784, 857071524, 688749281, 823683661, 256223060, 45021479, 70949872, 894833262, 211212585, 538535431, 414150849, 715635319, 586877556, 82270020, 556856608, 413749079, 681255945, 245554097, 408996897, 798777881, 964027279, 363846487, 290313722, 545523710, 991273368, 765412282, 617077811, 861215115, 26299008, 862797793, 59596791, 301896640, 761869449, 639849999, 800538240, 866748390, 993625200, 338906345, 470425459, 548423176, 536041050, 10782658, 382980242, 929027491, 738060623, 813836313, 658393818, 311258651, 960649848, 157822478, 514337768, 303480104, 84584675, 522762408, 473132591, 862805502, 349693312, 685105050, 200084935, 183456708, 337091315, 311170111, 601955385, 306355864, 36355775, 566661078, 901658014, 239156691, 24297902, 729470068, 52099623, 861296757, 87538180, 223653700, 558360570, 800466924, 964342519, 28164274, 97396457, 142583731, 37955214, 598490362, 65710058, 796478107, 319102805, 805443945, 128652129, 829657375, 744635191, 573704173, 423364048, 337376628, 912558285, 817468003, 818742040, 527484292, 745921998, 891911812, 457218573, 829125159, 566269154, 840080035, 612959021, 203165549, 19604136, 8674653, 402126667, 42695166, 189514194, 899650021, 348613324, 544024948, 462169960, 756134466, 508658848, 416201885, 77415861, 689685712, 940375657, 387694047, 184410804, 451594042, 677737450, 700266841, 790998449, 983438722, 706328626, 250762882, 647220267, 596114504, 522573431, 368335835, 116968162, 265467938, 433197341, 410593071, 689722571, 100882194, 250517565, 267394198, 654885954, 791220086, 385387395, 512629463, 427780382, 170956603, 560612281, 772076965, 720564842, 488615934, 496487939, 938725656, 344192520, 688755731, 110702180, 922350327, 273458122, 737158042, 781943315, 303792122, 340675387, 864307143, 806616164, 521146724, 388790616, 690256761, 60107634, 286219868, 596962067, 401129328, 3889485, 847924455, 979435561, 636654269, 910632239, 75718267, 430645998, 883062573, 78731248, 458560935, 210409424, 822159050, 391028691, 479458762, 807759689, 805467099, 391472631, 999061610, 863224004, 688267509, 179558502, 308937627, 171612608, 196507573, 8226690, 35218013, 651260077, 917416729, 283822888, 729020905, 489577865, 925303596, 246169850, 447609486, 305785839, 138918250, 535618005, 395080705, 840329533, 642433981, 923222229, 97518185, 943216342, 863719630, 837664589, 177492642, 613251889, 883509110, 864465797, 844094073, 421112860, 102956809, 553334773, 33367108, 400740021, 203737987, 316599432, 236017967, 410849848, 635198107, 771254195, 251259615, 459544712, 540355720, 484074381, 120134184, 780456768, 485597522, 617441391, 620328097, 781190683, 426842509, 693597921, 595298352, 178975374, 656798243, 151445934, 811132838, 235866953, 877793433, 786950615, 22681856, 920348392, 452775298, 986977771, 56345757, 766117314, 119243437, 510109445, 148064871, 103002707, 531949818, 966192244, 617095082, 639927510, 358547925, 2883468, 323176740, 33976940, 887381028, 639641104, 444391049, 825848115, 401579326, 49924231, 774504372, 878084802, 438736343, 280764838, 477861458, 305398000, 365919126, 117014660, 90530276, 223286082, 291332275, 194474090, 894003353, 565760011, 375913198, 153404764, 341017814, 313645146, 358356814, 552393957, 479675974, 64236486, 988652945, 940311595, 573275015, 588685691, 739444804, 715734849, 92919073, 95753635, 536207137, 946370747, 839488653, 498323784, 476451053, 72413659, 933210640, 457112560, 458752884, 180856524, 983236538, 557099459, 529995835, 926253994, 742849187, 342913171, 604768245, 838018587, 803865502, 200652393, 169706181, 614344516, 674422514, 308979502, 765984833, 348054262, 126912774, 707577036, 472653114, 423888161, 456193180, 66461691, 285685093, 540995782, 214301182, 22299842, 539000136, 11718239, 13206791, 91466661, 63830789, 844963994, 589466276, 226811295, 167471765, 853430338, 108591090, 51827920, 869173817, 301480866, 935946965, 919250600, 154795190, 425361886, 171870810, 316299095, 215697575, 155462995, 664565769, 609527593, 350858889, 766351396, 708760825, 144720506, 5326842, 351968601, 795875700, 633752781, 144309113, 269426973, 514590742, 478952952, 397068883, 483210, 903556971, 384232999, 384525706, 317350321, 673491018, 102183212, 367097956, 868164933, 999030445, 736378698, 217439879, 283982012, 438397539, 575564836, 753967089, 175708960, 412930649, 884483303, 923631348, 944453572, 37184601, 942236403, 616279693, 320226682, 762709977, 245927662, 479470077, 778597054, 765306649, 904549370, 727876269, 872620103, 170886370, 888444142, 855990907, 746741327, 623543118, 616767394, 274015708, 371264586, 938363172, 602136544, 5121907, 816193356, 278008691, 120457940, 292909843, 134407516, 266855193, 582265333, 487428920, 33903388, 883944844, 996644083, 144719175, 39689161, 424289042, 553754672, 117371262, 182849470, 573768345, 15512358, 438205647, 709504272, 245854884, 758552849, 911166829, 179552501, 933420287, 170398995, 750671721, 558518772, 739363661, 174590890, 988584173, 597670431, 988919279, 380917937, 235322464, 916511528, 964987293, 912235250, 460751322, 481062140, 517178602, 433118684, 884187269, 813047920, 260108521, 771891610, 67180856, 67692516, 946607800, 748465252, 807227704, 605986010, 639569963, 823459529, 774631666, 779371270, 391824543, 334621050, 425194741, 490986952, 405423883, 294658403, 855035557, 268810322, 908627670, 850662293, 544492775, 787998170, 836929703, 305979856, 207950875, 66843008, 916238441, 572189328, 966287456, 144131350, 889967423, 771031945, 394270857, 224536928, 695808640, 388137927, 771022337, 625631027, 303754181, 653353920, 964589853, 938425465, 755683021, 323880830, 750963488, 337444540, 47795552, 504231403, 362678177, 711224267, 239181312, 352082927, 844697922, 608690808, 567108619, 820648549, 831470735, 131819488, 452875939, 236504294, 812755420, 448395358, 127429881, 895215665, 136500513, 680103027, 709741933, 83237379, 31186693, 85280038, 225015595, 990263321, 17403044, 702768466, 371625217, 689428379, 926411632, 208823805, 937725433, 687037143, 254938728, 813469932, 87663854, 742699924, 357511406, 704424156, 273193473, 335307671, 452555265, 760105171, 286664170, 999193583, 311599503, 465829552, 675180690, 326904371, 85410941, 709871833, 624283060, 314883674, 700936741, 986713996, 294309855, 230899320, 383249980, 94270733, 837273005, 707287632, 567074790, 114619612, 31292085, 718908009, 810426882, 152494066, 832704914, 945591132, 126567325, 388012698, 501494863, 718251516, 420292959, 169090612, 816089214, 486041868, 408081394, 653652506, 624130979, 980270500, 499322388, 51461772, 20518627, 959149107, 946721170, 30358281, 153193848, 402188570, 382703386, 97311690, 943934004, 267493692, 676485361, 271088763, 189392, 849949014, 368141519, 364426571, 929718969, 411807418, 526643452, 47842799, 162637920, 512298819, 624946145, 288148069, 730546282, 223375135, 279669518, 342929454, 346568452, 626325245, 203796627, 337747070, 546891917, 193446517, 88258816, 355206206, 168611927, 378242113, 633047195, 968530242, 220672359, 642613345, 77669205, 680408968, 348361636, 756117845, 487840395, 614614203, 290965357, 61735792, 775505792, 744913573, 74812209, 472870216, 498746395, 978216286, 992911656, 493492912, 416336926, 92777874, 378133612, 766773580, 503914590, 964014124, 816870855, 332837871, 549028976, 243723848, 611509005, 622776867, 701613586, 927530077, 29286350, 599358839, 272131387, 103586743, 650687795, 311131803, 72046091, 68131563, 459227920, 218545147, 402032457, 317222954, 981607464, 420560723, 834304223, 877986590, 617532088, 501035956, 959751365, 360466345, 929031678, 416090738, 486185860, 706203269, 387536723, 239108411, 531218988, 513951010, 507598745, 616765115, 821162559, 928774996, 273176472, 467459755, 290104105, 192278967, 748449422, 654293301, 386210412, 327961863, 638157305, 151392660, 779705436, 942335051, 487000033, 148619671, 901344202, 666388055, 393066941, 54726027, 191645409, 684468687, 980175064, 464987474, 833480336, 695936859, 464097615, 402828229, 295634363, 853727004, 1661910, 958138899, 33754215, 431244903, 559227878, 183171949, 244173362, 428954133, 584028446, 583152145, 447569574, 556165918, 89814802, 978740599, 965800971, 618787714, 162891221, 284079827, 121087786, 136778506, 366529974, 66624914, 677243573, 620811433, 793088703, 335350530, 308776003, 510778331, 560004445, 548539507, 944485252, 929068866, 422083797, 259531117, 616175949, 338886401, 560067580, 56068534, 403938305, 244133026, 14701152, 872463625, 963999547, 480723683, 97051622, 817860493, 8632649, 587901920, 105791497, 503119781, 544039641, 468694243, 249831778, 410203092, 862064688, 179676223, 784850455, 217885201, 629649222, 262463805, 865377180, 597277248, 604703598, 556928608, 945023813, 622907090, 415827563, 39885883, 744104712, 416657176, 525432884, 140724163, 223387080, 641317504, 626482675, 675861094, 79295850, 724357963, 762270059, 474202963, 252982983, 309335964, 852023575, 18761755, 212480871, 291500510, 474320530, 985554089, 933603379, 738044811, 563917627, 903925207, 387100824, 427841910, 45834372, 92553571, 98102425, 446235023, 25095098, 89786949, 512483814, 492330064, 136816605, 30099403, 857366777, 104934903, 579573961, 660556988, 601268415, 26240169, 705633420, 819961837, 272848665, 950592612, 900366993, 985378679, 916037221, 171375585, 949992542, 299967623, 283407342, 586902371, 480730687, 4088114, 380394370, 846518041, 867835508, 381493660, 706952084, 349131763, 750459987, 214077262, 437482647, 213515026, 579824327, 498340209, 498202749, 625073265, 988972259, 177523029, 784369756, 411918352, 680773690, 57695851, 172042152, 523892175, 43706140, 582641462, 584292083, 688261450, 590012175, 575450050, 364291531, 695107845, 148741851, 583468807, 474626062, 258562553, 566000705, 212770026, 734185142, 267619855, 841904976, 796960237, 949019366, 500928349, 273616844, 601858185, 115202506, 254433683, 823657759, 925761178, 390652234, 20905617, 60797389, 376248729, 886385098, 117979069, 679843273, 381652609, 103936454, 786941909, 91286776, 761794271, 826854270, 113928621, 49796393, 403052800, 202560184, 849612874, 862639786, 954851896, 946197829, 347013707, 136982428, 952003383, 287436486, 238181924, 537279327, 28579892, 676414413, 160655288, 83043560, 667895652, 536182301, 685278090, 567135300, 27400168, 812549357, 725852630, 465160349, 921396435, 902934209, 727315626, 271807750, 234055703, 347941992, 217346896, 935937011, 989386614, 146767874, 870930333, 678406583, 186581172, 214804318, 792178530, 273792025, 191345509, 365145778, 301612373, 360215683, 379102492, 268158014, 956724493, 670556196, 506120037, 567746164, 113041681, 264033478, 601202897, 957627338, 840088178, 86824413, 445340116, 181509034, 416619273, 659185210, 870122037, 969490674, 350761605, 234399748, 536636448, 900739384, 974382167, 44417973, 102839031, 76166966, 278503326, 31102458, 943072102, 831756119, 960378827, 556842802, 306024335, 231584378, 503839857, 261105150, 129403563, 38240617, 566476727, 25028064, 65465971, 181578371, 837045496, 861095475, 732392588, 16785361, 261830968, 287649773, 192973925, 361958570, 875160560, 752728547, 218428289, 863595469, 295557775, 726614606, 922582021, 402740625, 307713163, 135184696, 526938641, 825723154, 473161125, 622463123, 415279809, 618053891, 981487310, 680772766, 206049248, 311165464, 456151871, 931405637, 876272495, 482680006, 530479461, 318895592, 253914388, 600544174, 434429887, 718953453, 821302784, 31339654, 502185703, 787212430, 786958035, 717125604, 89926190, 378926973, 260457654, 258326884, 333508196, 920081823, 888386730, 109721355, 317288849, 284888377, 871748095, 92999752, 129853916, 860626543, 961375327, 217319026, 767591300, 679515786, 861694653, 391141160, 88724233, 898719585, 193332111, 799380521, 160104301, 720185093, 812746383, 257409242, 913721848, 752988567, 972404785, 453738053, 143024510, 151131826, 171577136, 755425529, 648956078, 475703195, 193490964, 155830244, 401693373, 501547323, 149233723, 501253165, 796094513, 560557365, 674880158, 425847412, 789234724, 934522982, 235543747, 640964113, 868599905, 506939895, 26688794, 235455597, 119204086, 885724989, 418558546, 243624597, 979976483, 913358438, 654359926, 135937620, 569321168, 211509609, 307349745, 384998829, 563177493, 510387494, 322418416, 382155418, 179873810, 85818298, 40487879, 286977883, 264650851, 239246502, 433008, 795409932, 161143395, 851066705, 522577922, 51969475, 303097170, 525446882, 1260937, 813518302, 621876167, 768213354, 889225166, 564564166, 64079567, 855391565, 558931146, 818035247, 99770910, 278994908, 43228303, 281022961, 74639090, 36669996, 332255545, 409997028, 29504392, 515492845, 403369011, 594607407, 472078682, 319344991, 746437824, 611353666, 858373052, 617373639, 471994843, 763925526, 141853143, 369516300, 495755351, 133929659, 304278447, 340412102, 182609802, 194427504, 260506160, 912804989, 136246535, 19131913, 770883893, 222764940, 622729176, 999390488, 27942475, 292693708, 323781574, 480939154, 267234098, 44354366, 238789023, 756340601, 913622507, 810880044, 767373666, 952476974, 218531847, 337345311, 269719503, 124549413, 332859772, 913039131, 825371411, 550775739, 743858124, 250821189, 677756223, 65370794, 347351633, 85301263, 155371960, 758492635, 306945004, 507009987, 806625865, 587306687, 94151435, 445273913, 464176579, 594574641, 396701891, 68229526, 347861958, 49736786, 156968774, 486977742, 908771719, 387923681, 545191516, 589794745, 570976491, 983061156, 99594946, 863327089, 478535740, 173801790, 505716536, 980059937, 823448352, 310516801, 236536245, 596843812, 793446145, 509000348, 279449893, 371168424, 740725742, 220318780, 804525331, 148531381, 591440983, 787936188, 172089621, 839330789, 155362486, 176904476, 179920846, 462273540, 949684681, 116941022, 298917022, 963045832, 148226950, 313079294, 297045981, 272514387, 19472100, 787574941, 917085852, 685356712, 899339069, 452791686, 463182021, 63056345, 44241627, 536478890, 151523778, 395522268, 367864926, 838841020, 285726507, 554669659, 184905634, 742433109, 249409261, 781280163, 684857004, 460892738, 245052214, 312672979, 644463614, 44150004, 824160443, 195874280, 855248962, 169104717, 597163617, 103510010, 751954822, 374287915, 769316563, 113759039, 665659317, 661241451, 802341914, 11181895, 851763213, 135346535, 825844045, 638189759, 172707220, 188567925, 699433552, 790140084, 710954284, 5020665, 790507422, 909813702, 799202767, 789744445, 44956269, 988941546, 662253141, 471931895, 863889811, 858315485, 643220129, 609553047, 788851957, 813822809, 800287507, 293922598, 183525156, 870331995, 486472005, 722356426, 1426155, 466071882, 37128501, 21550214, 159863360, 904448010, 535656596, 134020476, 495084181, 155440139, 976719629, 767544431, 228240157, 726004533, 321958094, 385010040, 527642363, 336883841, 393828409, 552663231, 238746592, 874641217, 238295470, 490506067, 890256380, 313887046, 954571558, 625347754, 137036504, 299137324, 187974073, 984118908, 17567153, 677307178, 671898072, 593636359, 409297401, 470938340, 195383404, 663287121, 774337040, 168454574, 234914258, 591403157, 85601696, 120836858, 504575553, 301142091, 893963887, 762067181, 95759418, 200289891, 478819458, 582943946, 21537448, 996425170, 727074791, 239265113, 366577079, 635968060, 209879763, 384305484, 913054350, 347477148, 251727432, 461658224, 464731534, 979080068, 992882432, 565021945, 581353310, 66165450, 346489985, 462560156, 828518484, 389122463, 423075823, 619297788, 137971880, 747645232, 920305068, 377438381, 404712970, 655316265, 746386685, 862736878, 91442617, 877556098, 369810960, 504277209, 823766413, 507818138, 68788864, 159468632, 136847349, 348839851, 835510406, 159459664, 404903009, 401552292, 459435207, 628383693, 7539421, 515146380, 262182013, 659089754, 440013090, 300924598, 173328361, 803604029, 250969610, 191677037, 556387584, 472610737, 909624019, 629047472, 168708979, 769301010, 533755719, 319195838, 860266461, 298559175, 287451096, 309594172, 459704419, 829247412, 639996372, 41301244, 930750077, 249425630, 629210538, 14532017, 946954128, 982886385, 9672197, 262585052, 664742393, 749692050, 592716590, 626932772, 747161998, 482916310, 343875324, 274023813, 273160949, 423904105, 90029175, 874020739, 347848841, 219446851, 80505871, 917793532, 135853995, 631608006, 731641895, 526321382, 587101429, 890249558, 51830958, 766713682, 241537294, 620012991, 714012879, 958934633, 918409416, 309089925, 472080943, 246336413, 189852268, 396966351, 794652402, 677436245, 492197810, 438966600, 265407286, 970767471, 747527271, 415635650, 673595508, 109319236, 249603864, 698188341, 998080299, 10579186, 458689641, 333071021, 397600865, 837531047, 865092630, 207637421, 710313196, 485252187, 717954835, 94011131, 817893332, 922481624, 418417011, 547825706, 987001149, 467716181, 189803599, 933009911, 450364499, 366419009, 507471621, 297013854, 611625157, 913848205, 816940710, 363241574, 480376004, 632511988, 349268017, 99510975, 896800618, 20957257, 667136626, 682967420, 784432860, 936889935, 795903918, 709771676, 389322139, 709051292, 427393296, 565935890, 697876732, 299955216, 37364267, 939049548, 940010077, 831345644, 769648045, 7767575, 240758134, 871547295, 684371172, 340981263, 123073219, 654636490, 150638263, 906037085, 268941026, 825993582, 375449959, 888633615, 727905021, 434615509, 637455730, 875646512, 980782540, 115616482, 437050826, 625133362, 272940390, 53279330, 623642143, 650342096, 800562138, 373612502, 803727922, 134013241, 722570984, 925052253, 681045189, 595119700, 403399826, 793811892, 380288517, 452016335, 298884778, 418798496, 559519837, 446947295, 522268675, 746812883, 847977696, 440670840, 967253108, 883729101, 813625414, 470472376, 497893062, 565421185, 514770449, 37886862, 422107130, 877888262, 805448769, 317842972, 106716364, 457077222, 487386776, 619884017, 701647167, 323450706, 924675576, 610525255, 842585852, 652421730, 613903086, 677038111, 150424496, 659692947, 719704394, 916209547, 121672094, 529693614, 54797798, 355035678, 600808582, 367375414, 294615020, 543142894, 163510762, 20182205, 749075965, 401998900, 798941538, 766101146, 554427678, 116285338, 690396432, 953594662, 30152042, 265342790, 624927895, 406342314, 504305670, 144546567, 842780975, 215600692, 383314323, 601198807, 274737470, 838130097, 266973847, 320987561, 435707079, 860112419, 359254473, 497999205, 55304625, 805638418, 130798849, 690412174, 830031540, 407276482, 329203935, 553667410, 953334599, 145087607, 752962719, 263446847, 65441300, 546519690, 615474310, 110000670, 113613743, 794313965, 384112437, 979174410, 13444838, 286743230, 960285697, 540069925, 307282004, 148409652, 818464889, 883057580, 33644699, 436034836, 140356312, 2184607, 761906890, 884268489, 943341822, 420814233, 572487785, 292664984, 987956843, 717597808, 509417288, 767309817, 559812155, 695660327, 395390504, 534562117, 391757712, 7292167, 122059701, 957559000, 315275253, 778089919, 701002690, 181426825, 43522511, 874544364, 419889381, 184640792, 257743383, 169919953, 162725719, 530746589, 21806025, 476313762, 636951355, 800361405, 199108840, 382194066, 171850, 182032140, 882473899, 419825710, 230011401, 326551197, 538153943, 279350642, 975678077, 292781118, 229768421, 205974333, 228565731, 815782915, 517567123, 413415691, 754329842, 366819372, 491593618, 71984570, 779202181, 259947311, 585952820, 162426984, 952918457, 269362805, 337253256, 510218295, 649671982, 178624419, 94501319, 439764255, 113656980, 749911571, 87429388, 852778470, 526001577, 540223890, 631124558, 311330614, 497745293, 54532352, 771725480, 330326274, 953422291, 771513107, 447191508, 895359470, 584675952, 909682893, 842294783, 539964461, 543466915, 32259542, 429130140, 244716802, 588018096, 186919973, 13737814, 611496091, 614893652, 498994654, 352651128, 801803828, 919197043, 485607819, 108949943, 291446205, 972551903, 516407308, 413126928, 919424637, 896930886, 307862015, 814033447, 318545669, 808337199, 552441836, 142526986, 482161945, 333884475, 227902651, 375325318, 39716905, 761194257, 562130061, 199071171, 131669099, 834118162, 374503943, 518128121, 631198166, 684089095, 833168999, 299036033, 936907476, 480713720, 326609459, 696062255, 539999792, 341634517, 713933165, 60170184, 969838470, 98234515, 143644328, 447199661, 567459071, 173421784, 474477103, 591538911, 157378742, 970931835, 885372590, 593190162, 943680189, 843782140, 856553820, 961005059, 335999118, 132469133, 866426887, 39003681, 938035445, 64233449, 560301601, 659620340, 67489220, 854908012, 499436233, 396299190, 857356731, 420885009, 753668604, 579383007, 494250532, 754370691, 807814911, 393671176, 350419980, 763643068, 91942721, 298664625, 513244281, 8797265, 470654720, 617081822, 963548162, 234261667, 829281497, 314920608, 852863458, 490662676, 868882072, 628079678, 891799838, 1812998, 873499912, 38691623, 841533297, 167964955, 605066796, 924624422, 691771372, 439664955, 942670008, 654484888, 170748298, 747733646, 260786379, 842420800, 181424110, 815489453, 475734791, 700185636, 608358158, 226858118, 681415459, 96736907, 381944746, 827521318, 703542235, 155532871, 407634914, 372097683, 672932118, 612165085, 806007121, 613165029, 728944103, 729386837, 573812128, 98208085, 38742914, 660565653, 443433587, 942478662, 966984816, 252301134, 295644383, 508400964, 83194518, 726833898, 196571294, 330906682, 727945202, 291177859, 357257567, 876350021, 359804581, 882466846, 795423888, 933717538, 304795984, 818845402, 821064879, 710432881, 740586928, 111851235, 468896735, 250315980, 192487966, 953249374, 989150763, 755387932, 752385659, 724609614, 883040840, 826568048, 482726987, 421891126, 316418313, 658814755, 882765721, 433597764, 729608548, 349705465, 457684921, 770037177, 41844118, 914173109, 872405637, 623957606, 792914047, 970234671, 907160801, 313272429, 201980284, 4415540, 102294948, 463235521, 533767982, 858366441, 124631524, 854720101, 224014115, 179269573, 372916320, 367664179, 345584137, 440079604, 365731905, 906576589, 230396316, 696038073, 909298470, 820759515, 310697347, 394387811, 615547298, 277554074, 242064995, 186607097, 385874757, 366635781, 993019754, 551073392, 613802945, 351339310, 723933323, 216823676, 465630420, 808511690, 114580355, 607233196, 86344405, 902961958, 337238707, 670457623, 569227451, 473232309, 396057735, 489295628, 904032665, 96034423, 628704359, 187767876, 244720697, 96169740, 247451818, 157888538, 938261622, 532502908, 974541108, 16598964, 166183417, 32806768, 782528087, 581059701, 429308404, 487507376, 604568531, 502854853, 526553809, 149028214, 787161712, 721618473, 520562451, 429163690, 363157162, 220253999, 695225224, 982322828, 791164750, 337571118, 972845412, 582638093, 229689491, 970221085, 746856183, 920073521, 442360272, 933867718, 406917372, 820222333, 395566927, 74262648, 175459690, 348950108, 539590845, 521928331, 904073434, 479738473, 437525738, 593836748, 392311990, 985410115, 836419060, 567219940, 564571095, 322015210, 755193180, 675048605, 51872729, 997335598, 421763411, 224809678, 596705858, 494207959, 292840255, 384390431, 979223483, 423783352, 671024248, 291182996, 174291134, 113857815, 476449231, 598988087, 607520564, 241186112, 22518697, 287485696, 690042956, 597861321, 176692171, 363583340, 500981474, 529131136, 908673974, 226738800, 418333793, 382108029, 893220378, 425323068, 381068680, 791606499, 552518635, 814214360, 249422074, 971167094, 791650734, 972366174, 26095831, 952305754, 529716826, 87264678, 935598819, 139411762, 501010245, 820960210, 873972570, 381154881, 990483134, 305807054, 42694275, 332779388, 497658913, 826675642, 232820606, 186101300, 6452380, 131556289, 838356187, 242900912, 850609692, 390292465, 660518595, 625249774, 846890585, 167185603, 336847158, 104004260, 154733079, 85737883, 103773178, 527223041, 133049136, 480461050, 83233235, 432387866, 999455285, 562474336, 697237048, 564983857, 600563691, 755456968, 44454508, 601539069, 114678988, 467756875, 810206800, 367692613, 650823323, 832450066, 745362761, 440796599, 880985113, 263314425, 687540443, 131547277, 780405485, 608983333, 848629795, 121713727, 362244363, 20802011, 910794057, 657942580, 886873606, 749572972, 307550848, 991001286, 489857597, 451765092, 24809275, 401834863, 170047998, 669445711, 504031158, 707824005, 999635609, 378201136, 378164139, 867185612, 314606663, 754170687, 998551922, 35869012, 186699720, 411247520, 172236003, 366586508, 144939596, 866778617, 984875454, 454853169, 701985486, 636092747, 81700805, 153247666, 662888841, 505645766, 636735750, 96800926, 202773384, 121592492, 322859856, 602275330, 239591873, 75336373, 559535464, 750299632, 454604499, 309692294, 796412677, 492429571, 113770007, 93921921, 783255432, 158894702, 75289566, 38253721, 595188931, 225206247, 132825687, 83053018, 595960892, 84200213, 699640525, 173035739, 279346495, 840446828, 516415193, 476285079, 385936308, 381429656, 993492287, 777499323, 594569139, 19299769, 211946536, 323193473, 824004564, 28577311, 94173679, 95509250, 820897906, 669474889, 334962809, 229030035, 562798363, 194378149, 246339042, 280893132, 300305786, 951277337, 847652131, 32535455, 65399122, 881898648, 261940645, 443902890, 846479912, 449779450, 183159146, 400912971, 337079300, 20824019, 225133778, 276749314, 207861772, 90215278, 299106632, 505867044, 643516985, 526646587, 36706942, 738687372, 759633761, 253849571, 603903906, 804589932, 455301181, 463014322, 903006479, 562828633, 995624047, 745903908, 678991733, 489876267, 138401171, 848635772, 888164204, 739694927, 333582014, 248367592, 10721427, 357446407, 475434206, 320664224, 852006760, 678803159, 409826055, 717744813, 403299367, 963934599, 188580419, 209368084, 556102879, 109670284, 951323069, 984693169, 687725676, 545295012, 397147671, 372368649, 31046366, 779217099, 653421129, 203037957, 507225572, 457427594, 579724166, 42025757, 856843065, 139552008, 516148088, 516134979, 627741342, 630564797, 517878981, 707225372, 876224637, 472062017, 840849039, 692335505, 854080264, 975812067, 766960862, 455687168, 638096007, 404799545, 500240821, 615244280, 168298481, 889187427, 302653187, 325541097, 298196988, 702370838, 154390320, 548368091, 893741826, 456499954, 422473015, 377587600, 880675987, 972887979, 92848960, 439985665, 904178321, 518756855, 163439077, 501601045, 363576494, 107548285, 11079074, 346919542, 739876470, 35332562, 549592668, 13245524, 143062310, 650389392, 310000901, 137273781, 564696340, 17657246, 581107704, 662224915, 301333325, 844074554, 531132302, 667724130, 536413906, 27187851, 850600294, 321326826, 807319693, 256619042, 103256708, 755779642, 683467922, 646673062, 806091318, 818584041, 982805134, 622763658, 86972367, 204299098, 695723166, 238374877, 313058903, 599409902, 757769385, 935094903, 685387304, 551967586, 626401837, 27026799, 77264148, 958142238, 7021931, 902537294, 348505552, 156417532, 301182818, 380969143, 153256999, 432625203, 833405002, 983108878, 547444435, 624703926, 610310131, 301214259, 188384275, 413424852, 186605343, 928205672, 235866055, 91155011, 944142278, 844056060, 921357311, 547530392, 621366421, 868379621, 101890134, 744294122, 108400965, 585535431, 941223236, 202413414, 707964873, 954375981, 655806805, 148469318, 69933221, 481973396, 355094075, 291842012, 28583510, 520303777, 931691932, 373652373, 715224878, 340120109, 923074984, 656566333, 394603976, 193378397, 519399779, 242009600, 16249142, 205159838, 593127618, 133643239, 700501613, 507148355, 95810671, 518804081, 555480872, 838952366, 2722467, 232199376, 504242239, 992972387, 578617371, 175243675, 834856251, 84288631, 510090496, 527454853, 774153742, 451205376, 978473956, 672055800, 106895170, 658257324, 287447496, 703310011, 44245185, 281613759, 985117004, 806731670, 472746043, 131297326, 261766978, 93496296, 999631754, 930502436, 723861751, 447817714, 411571551, 580752396, 865672175, 460794428, 654252143, 705162682, 687675245, 522234030, 820100348, 398260854, 674209868, 1073287, 753762350, 125031358, 310295870, 726360835, 451312891, 569659846, 81852236, 648305201, 776455795, 937816883, 591725649, 958549189, 216967266, 982968757, 390179751, 208660960, 889006537, 756009824, 982146223, 554521392, 311129475, 500014701, 157545041, 20332501, 776257409, 948679308, 911461378, 278846990, 26078764, 567884673, 906617361, 999429812, 611685361, 291493954, 608793488, 900727214, 853224874, 66347913, 761303311, 965239635, 270941528, 137700479, 618612918, 65240759, 94973333, 434948543, 170983368, 353121657, 603331236, 494893572, 997580715, 401807424, 54371163, 794762770, 779150306, 407431856, 550733040, 650085067, 947941945, 984061253, 140142363, 248444734, 805084822, 278075736, 171120616, 191257921, 885867795, 382869907, 503122447, 343798655, 384161000, 514737082, 624615692, 707356725, 808810963, 226929570, 657378152, 495090263, 606067931, 852630001, 170937035, 712454612, 853122997, 42120808, 727284869, 341096867, 22916188, 747518081, 342960800, 541434116, 259919570, 349127, 993343309, 626957752, 294428033, 737854833, 708209238, 309401533, 89247876, 338569055, 218861075, 751517369, 605433330, 132254374, 306074196, 512702090, 752793226, 767048599, 504130315, 491045674, 341924584, 910608849, 637168597, 981983350, 522503466, 634761242, 842141589, 568824613, 330413190, 76174864, 151965562, 494736532, 745191988, 61228323, 410754245, 300684995, 901179527, 299612696, 795948597, 984356687, 315227548, 325340712, 720374318, 675427002, 106754704, 157232235, 273125698, 80246967, 154867932, 945585378, 532734615, 509582186, 296879847, 504462953, 965241506, 731614057, 43159677, 597928482, 330501085, 201375012, 293116718, 789470025, 412051075, 123429227, 975239366, 959980500, 355217012, 676088395, 860350698, 644343162, 42805924, 850842927, 617621396, 399950486, 579897164, 827421169, 938043968, 16870023, 369030755, 643319719, 49010457, 847888143, 392955385, 861540428, 521128128, 338350848, 821243982, 175778591, 116316082, 441043590, 498558857, 67113237, 365510371, 865564135, 895616843, 743361912, 755817912, 274680224, 667702203, 331649606, 296293474, 265490951, 797897015, 427017048, 513697670, 276335268, 797377010, 316447667, 59199545, 91552432, 251685847, 755105758, 533615198, 280849262, 571184940, 477250279, 692446598, 598228469, 216265570, 897172815, 512751725, 459802963, 47556047, 824621973, 801694655, 576844448, 71019235, 782710850, 540470220, 439892195, 305117831, 227232427, 471042743, 712756973, 123412983, 180832466, 675348514, 52408662, 175893445, 196900351, 256446609, 175193596, 726046383, 82372866, 983564175, 866158019, 471862971, 884272346, 390602269, 436928712, 614660183, 644288691, 422304872, 41869798, 181764762, 261535194, 426929939, 923357917, 87827360, 60596586, 247347948, 769012480, 479205598, 931963956, 967720718, 290070190, 247361720, 62988197, 230649759, 987472641, 196923581, 3020652, 265541235, 950332780, 218729854, 595953973, 585980485, 1049341, 472378275, 915531017, 966696050, 328274778, 332339825, 100782021, 669862095, 634015965, 431928420, 876412218, 471742221, 341240474, 26411080, 811219030, 954564390, 662428408, 637180214, 683937983, 991082328, 872685635, 274240436, 614234364, 84066481, 292074727, 269987752, 730504483, 59299152, 76097898, 33234435, 4707415, 321995643, 291177990, 219800510, 336158875, 306987359, 213596888, 804688165, 76352290, 866148290, 268983350, 515389464, 350744158, 232213927, 229038912, 411478417, 91276077, 76120473, 239865962, 72768319, 674391680, 293279925, 658195814, 145271473, 718192601, 442842733, 141455265, 411955230, 787858555, 341936714, 14896526, 108465692, 907801107, 363027072, 567540935, 749349823, 874020240, 335409888, 364388497, 81386145, 353465126, 28677775, 271651389, 109786821, 210181167, 810454502, 4119885, 471715295, 392262679, 272102105, 795880843, 341811774, 608510591, 154952936, 645254885, 756387854, 309306425, 182736007, 80538287, 671847088, 839015619, 109286328, 927619921, 465487020, 322896298, 762295577, 243062349, 927160927, 478436486, 981151512, 627651722, 297385933, 129442147, 764156526, 605525100, 582633598, 136131263, 274738902, 846923848, 966792777, 308713592, 719511657, 29870503, 948788382, 857738320, 489596091, 948565876, 88212201, 963598575, 218263680, 888716879, 863492698, 313352910, 224431206, 488039853, 746572565, 960599248, 807108758, 77343710, 165977337, 314360776, 860285583, 845450648, 331869266, 231444848, 485783936, 124786773, 692279043, 735881960, 86716194, 533038415, 395733870, 481907322, 79901425, 395413660, 636175044, 7972257, 667917360, 963383598, 190773384, 795533673, 885491635, 43106956, 309843017, 219121805, 609611326, 525457480, 455795613, 323573405, 20775239, 634898447, 392909801, 619959599, 4364973, 245444266, 311852750, 398931584, 836918116, 830431729, 6179725, 365396715, 236529057, 410446320, 986781053, 759817341, 412089055, 683781065, 220035735, 753353454, 839021563, 769140388, 27883023, 972739683, 78818518, 185360838, 623684733, 143053054, 638283146, 636167349, 349866027, 107063186, 878962912, 813174934, 758421025, 701540056, 85176722, 640681566, 78692219, 246051071, 172531813, 463400958, 688910160, 624785059, 48315934, 750709744, 303766313, 856783449, 931617088, 414135145, 702151870, 377205554, 671135489, 29653348, 49511929, 477881760, 436209714, 135628027, 802668726, 366100099, 403868931, 124967851, 32168004, 214985704, 978536328, 490086959, 460321464, 149576320, 97265789, 976450769, 438008389, 339072412, 656209103, 119614048, 418919804, 209521705, 914807537, 177205340, 581579776, 831491660, 359286813, 799422869, 738211743, 483675752, 764491357, 255929965, 185567232, 910323464, 712603003, 360588102, 308422388, 944043506, 630448956, 719358714, 369788555, 930512707, 797651110, 146319052, 268063276, 109011404, 801815204, 194773774, 598527292, 686878087, 953818032, 350190002, 132463614, 946165673, 914386438, 929622586, 31011207, 168685941, 37629321, 295071029, 453958026, 68973279, 274654257, 880904438, 911937400, 954331410, 491575905, 662685110, 33125488, 830650132, 250206619, 137772541, 164874543, 517084669, 781965160, 49569870, 281108956, 559037099, 987558578, 559638001, 225719175, 807159003, 440466585, 221791771, 893810416, 273962374, 591738945, 136459156, 111930935, 357113791, 77250565, 920201686, 27652921, 168061656, 509320230, 516236067, 228649175, 774019665, 303946537, 912568273, 763982616, 814731048, 771947795, 334699555, 628612266, 596320429, 359215528, 682801891, 610310506, 93248248, 546367917, 716583227, 509610741, 125797324, 202732687, 272679576, 1566601, 599410264, 579158307, 986106133, 226082651, 9196670, 452031023, 377595955, 367211206, 945739883, 934168080, 411854489, 541875469, 85079543, 643238705, 803234091, 930067972, 61248417, 932082998, 48275023, 699265683, 48090667, 40563186, 410666315, 310785172, 954924700, 64499823, 576291359, 803790065, 763516453, 319717553, 631613305, 134729877, 309260974, 570730339, 298896114, 624164835, 68189626, 201075232, 930238317, 832210948, 387221131, 379234378, 581078136, 163310224, 626566813, 651528636, 314905808, 13715252, 647461562, 425520697, 782160862, 13790874, 318687662, 626706735, 873305154, 222712864, 819672815, 276759749, 443233133, 827780705, 794394959, 133790435, 241515, 19590787, 54039318, 415013753, 147581836, 46625924, 92889757, 508140979, 155224236, 8908223, 725387605, 779871287, 909809433, 847217386, 244412946, 494377820, 91464815, 722049408, 854090353, 838274522, 292201407, 175902588, 405074835, 879817110, 278636758, 990291673, 501230063, 771141450, 466565035, 20134486, 998308196, 435346588, 583540864, 336495482, 516189271, 727287876, 121376351, 759083153, 130222151, 989673181, 312390828, 213376807, 251154842, 72828133, 347163791, 573150579, 44801007, 758426463, 771117180, 598612227, 466033922, 983961311, 836608657, 691703808, 462537714, 117702848, 142700122, 39927497, 400286121, 343350224, 448272113, 457717101, 660334804, 661323424, 800828097, 649898204, 238974644, 621253816, 237644022, 21394704, 18123825, 724149981, 302630605, 328909429, 541812005, 269743978, 902189488, 733845154, 379746703, 125592107, 356348040, 898544769, 742083643, 638662725, 861458055, 300704556, 57960267, 594348857, 273938190, 582957275, 45761410, 490665613, 374629510, 294037919, 904040790, 175524620, 823512783, 185239212, 542256019, 634630394, 762726173, 111593753, 392390659, 507474845, 614478438, 509120492, 967479295, 570781248, 204366439, 43729486, 305249271, 379815559, 326375174, 598175359, 77027376, 222130061, 689566924, 127085324, 841837324, 493629956, 308368220, 815004732, 94011610, 934500887, 532192852, 52085408, 101605081, 573464966, 902797262, 511750870, 533480792, 975644147, 838130212, 44067041, 775639688, 717380387, 677544053, 879614676, 849979561, 488806939, 292690755, 569430596, 399265537, 273423626, 451424875, 283165157, 51614068, 719900712, 251749337, 477550408, 729368883, 712658770, 442348107, 500498376, 533765664, 429132549, 869559432, 28391562, 565553705, 47536227, 105120973, 659717322, 211334714, 675586740, 672214740, 520625067, 59518038, 363774808, 412520611, 168758003, 125511572, 274552628, 998319631, 819850490, 127700024, 345733417, 866491539, 260958064, 747458265, 756555289, 467356946, 49025781, 888989615, 18955356, 943318907, 223375917, 472322509, 839264788, 962731500, 18373763, 674186799, 483691233, 287699619, 394382480, 249063594, 177133931, 509862015, 300434737, 517869700, 162903855, 887831408, 17081290, 832372463, 193902147, 618744624, 949572142, 400018469, 365338013, 993611400, 322078411, 14412190, 316317087, 461222651, 724835889, 216746160, 422324153, 758037318, 523416651, 25971966, 397736414, 947742921, 602889233, 253001174, 366678080, 335732288, 330947431, 606806497, 365220294, 1462533, 493351584, 15010989, 399621255, 599092291, 841883837, 19304563, 456186135, 449885657, 841039626, 177284185, 111779506, 147872243, 179645108, 956344328, 115186766, 812040138, 762983109, 772874994, 307718072, 264128625, 131825355, 220738025, 560712238, 426321346, 926309996, 694145216, 721149714, 974693059, 965643779, 822697210, 277136118, 738418906, 822884858, 469382809, 244975983, 72422893, 825364137, 780016878, 706408504, 769934716, 687462176, 722060755, 10435324, 566990662, 532170938, 383736607, 99254347, 575147745, 997568637, 720203232, 943868770, 436527114, 415693868, 259218282, 722085351, 518246840, 789285592, 898287526, 449102767, 793181179, 806927494, 859547188, 438742317, 940060614, 292255655, 958912907, 371037362, 201573712, 981341186, 288688140, 430325864, 320442932, 780183623, 577630137, 713001794, 303340728, 611301852, 428218252, 186955055, 278908837, 270473175, 183226485, 178703264, 771768930, 720853870, 88148198, 378287345, 339613481, 348088268, 245394542, 836716854, 759825472, 908951770, 237515786, 735892832, 211334542, 231098168, 216322645, 218098514, 631449621, 687141486, 265281288, 278197432, 69428162, 108040680, 328544366, 800536756, 970680472, 699575151, 898791987, 78968650, 16307726, 622702406, 448488082, 367967619, 577500600, 487433747, 350902033, 207444368, 6486453, 997194843, 91199240, 781881569, 565525725, 524532906, 950308773, 520693729, 734788432, 242228010, 818281151, 629790800, 648718418, 904644692, 121402358, 474885458, 980084251, 615086010, 463128921, 344573756, 525003540, 723318395, 976922538, 317083106, 283296013, 862407203, 167985345, 840442640, 350835330, 409934654, 849550879, 323058386, 772099836, 607885987, 699209238, 346998251, 52642402, 391352374, 780698389, 317688305, 655360324, 170564486, 991941413, 825350213, 279660862, 437709892, 460395511, 522703863, 282638873, 798741780, 303949678, 21507056, 440826544, 935580456, 566382606, 310315614, 816346169, 768483402, 621481847, 423729807, 792883632, 304454996, 114261947, 293553660, 99659489, 448387087, 199109541, 952110272, 836308647, 797452788, 192339000, 549022692, 871819452, 164626996, 378127861, 539590116, 358073785, 367549194, 840830866, 660700424, 427730165, 54297020, 356442819, 290476152, 220104825, 459576902, 999402942, 896686287, 445426452, 643790002, 513075886, 82525027, 169543716, 698723951, 759581233, 699779422, 683931787, 794687063, 829398661, 516972090, 602261659, 308926345, 677469924, 670347735, 945214899, 825680089, 8241522, 182300987, 402365909, 952625971, 476530458, 300288408, 345324021, 357096280, 710901085, 367581301, 394396551, 425243208, 344131463, 924836572, 285854297, 71337918, 105265701, 715685044, 516631475, 366651059, 657335452, 345644403, 948985305, 919964644, 635711434, 528617184, 11366851, 534289110, 675785459, 534705671, 76126783, 816006469, 995607326, 384685882, 199831315, 612393616, 528644132, 957754555, 209018611, 934033111, 978354087, 894623191, 418261699, 697116900, 44726549, 778752118, 766178863, 216824018, 703269954, 35429709, 542796113, 239394651, 582379406, 233127181, 406048947, 558900170, 204179245, 417179470, 771912667, 482475141, 422713235, 243589721, 466910617, 315029013, 519291465, 333177672, 70010498, 592445348, 751078960, 779163065, 277967051, 84403913, 534077, 394046359, 288873084, 981985836, 977690679, 873750047, 551270972, 164832864, 145061495, 416200494, 974295365, 344822591, 566522641, 394473699, 859961900, 446188157, 468269894, 334770446, 434540463, 525282703, 518008808, 138474383, 25529740, 182237390, 151235695, 26344826, 33531072, 445908646, 66380264, 595050779, 210308128, 602383865, 841614987, 759122598, 936076986, 977793448, 33324623, 789627345, 327289047, 311287224, 591140580, 516757792, 61023073, 341015749, 403758670, 447860175, 584666818, 670864171, 632952801, 416670365, 318826498, 496678871, 76700048, 402700754, 684300700, 531450029, 816085483, 665673479, 808178120, 412534582, 994907815, 96165668, 791820198, 32425513, 414852364, 894644088, 875719614, 20165962, 129529423, 309917181, 586839102, 252804809, 272937772, 405548376, 747082929, 918847590, 892213693, 448849161, 287943630, 560520722, 41099651, 344069311, 858964086, 769684170, 703576234, 391544911, 92824821, 615926077, 769602053, 916677045, 102206603, 318539689, 74144617, 703594238, 691287905, 942643365, 618831238, 933114262, 176965299, 383399242, 850203575, 33759475, 650444141, 375407612, 857817471, 778523635, 221032336, 777163111, 200514448, 703357632, 165062472, 554418890, 281181784, 21261289, 864941665, 576299760, 913282810, 802828768, 90390955, 895759223, 743317362, 917647131, 374328911, 755006595, 78037841, 203981221, 141915330, 123334474, 544662014, 894688957, 3129072, 954368147, 141821580, 247950886, 697919323, 73395494, 808137480, 767182913, 469678548, 595572320, 740725689, 337268045, 53922488, 414351769, 788250364, 451288814, 660008309, 277769666, 370460378, 202117331, 166543654, 909647841, 667049197, 133447098, 538465467, 750734303, 975797291, 781114222, 696021313, 864547752, 303517401, 416907372, 688001548, 420072397, 236845950, 699674629, 277380358, 676434434, 949337122, 138406650, 265935489, 286705836, 189162265, 285574170, 995700635, 598584002, 768369647, 43546280, 713026718, 927855402, 645725818, 261903090, 916533087, 624912356, 879589763, 206625452, 555431775, 955024790, 624556438, 936743494, 31358075, 838955981, 688128976, 999217717, 627490669, 996100033, 725827911, 580876210, 330838545, 66631684, 538614394, 489633817, 521347772, 434313671, 414628404, 910033903, 167448328, 315242897, 964579390, 457698856, 393133320, 912362879, 422170362, 625976039, 426071329, 395426705, 24146330, 402982785, 584732950, 951238810, 668978060, 896681061, 399958118, 372286825, 906345022, 361242009, 642826278, 602671653, 59921087, 470883790, 6171240, 221901154, 80530451, 940572475, 369272976, 159050404, 626040046, 789581909, 849195667, 961184889, 919727631, 983864478, 357121036, 827878426, 811879156, 171836076, 250128627, 933243951, 30589691, 225427713, 882202893, 566548791, 938475743, 127341287, 915741228, 766555079, 1587683, 116582782, 931155138, 574312519, 310839147, 314016824, 401561679, 428044190, 497317200, 872400778, 417863236, 954613895, 489975298, 597460299, 954001842, 207119449, 239738147, 371129008, 707484338, 954659810, 922336765, 542583172, 670247651, 636164531, 205599344, 62718669, 460037520, 196880465, 739780648, 212633100, 27012885, 736275764, 631100032, 10051694, 747146176, 746685209, 906101682, 638654241, 3665865, 451057269, 973533707, 273054449, 550430595, 6111708, 564292081, 58941981, 778661486, 670828682, 659013828, 309910666, 259254310, 158950106, 370078691, 863150754, 46272462, 397948660, 173077842, 846997377, 42851308, 95765996, 763537080, 703396496, 673249894, 691860202, 551891619, 837976032, 884398172, 73793849, 905707761, 317074207, 164652720, 470142916, 562619110, 512753340, 986492838, 642777847, 6354271, 359970889, 801994792, 845070482, 785934339, 360976462, 334116721, 992059265, 362900116, 245354145, 676033522, 505767025, 140117135, 233586667, 66056534, 278047158, 993172274, 509972581, 223966186, 972589452, 330989404, 254798936, 723919868, 592922515, 187272287, 187999862, 793225844, 312073504, 833592618, 106063724, 287152445, 692831144, 558874070, 136455, 734432171, 253967746, 277617807, 576753285, 359764178, 551347414, 693962746, 19094212, 67450498, 445978811, 37677300, 449619456, 145710235, 609178657, 355428884, 834651818, 801628964, 96016193, 564767128, 378598268, 203346166, 976963112, 381938699, 886140668, 778394259, 359673223, 377476822, 143427020, 934353337, 979958483, 635584437, 319117582, 178804381, 234172140, 851191527, 957856759, 819713313, 48368099, 313379989, 265141668, 27578257, 421889592, 873158703, 914122338, 523946218, 880484083, 707135768, 208939077, 318179490, 967159963, 629485146, 386213878, 801049463, 722273795, 991523032, 250267709, 126537048, 81496523, 640515931, 198373371, 624406397, 690392596, 136691034, 555056998, 555406152, 884538362, 123571657, 749630188, 800979894, 244587021, 83303463, 370619012, 619518176, 157275768, 11497896, 622720070, 671269785, 523282528, 804156335, 662596981, 194858145, 29610450, 476781315, 764794912, 854829465, 203694909, 815136602, 656488244, 90577211, 656491398, 601229421, 383190077, 62103533, 360943589, 538290737, 526682119, 670442866, 769246126, 227917602, 557877997, 274962456, 939530476, 872630531, 968579987, 266390249, 237029062, 407334818, 349939367, 369895639, 371741323, 824838518, 131948779, 285637578, 280763227, 354878016, 547578866, 689476647, 727212434, 824487586, 194384146, 98863431, 621469240, 926253645, 747369952, 212688618, 939484429, 120734020, 566618824, 614910812, 179381690, 171084273, 826779925, 942069745, 345361741, 280173662, 360116255, 697606655, 419345688, 537275267, 661058480, 47022952, 47462942, 509742274, 58329263, 773025156, 400566257, 745855834, 30907139, 506000243, 779257994, 246513674, 355884307, 166800364, 834782723, 396558241, 948565471, 577477205, 304789289, 11407914, 971190835, 381684561, 905575601, 909173908, 648280308, 485640651, 58122435, 384028336, 290523459, 696595799, 847206463, 214293134, 973786974, 25808633, 943138330, 689613278, 354657283, 918895405, 109585189, 492224537, 305621500, 844449536, 1981115, 810973767, 851395130, 719637352, 274906634, 877142623, 562281547, 167072742, 837587774, 444480348, 753273110, 494400930, 793335570, 495633575, 635973932, 177437975, 170486243, 255364801, 331484739, 465741292, 186863186, 171779898, 114244391, 725082975, 210555636, 743904882, 597860982, 253161427, 161114031, 634119906, 550759000, 836848822, 21689123, 369446673, 588286219, 55398026, 230573389, 731041143, 945731857, 220233530, 483267707, 967827554, 942676206, 98628368, 754374776, 114941647, 81140203, 416223918, 676441875, 675455920, 132599917, 426846667, 73361693, 185033784, 750489822, 39651952, 405973134, 465673550, 509036968, 818463127, 265241464, 917527218, 188951446, 504349793, 32883883, 848637096, 53285478, 547199763, 558653589, 128690823, 704496015, 622874009, 323620467, 564213773, 111470097, 589725659, 165858007, 502967771, 667204064, 571311880, 331891928, 18241935, 472560382, 172068734, 583812279, 794158111, 354478823, 257078024, 751880093, 593443902, 651965532, 75093005, 208425507, 156636638, 524092256, 183167082, 495736626, 794473942, 492658390, 166195496, 768407698, 768950583, 437172722, 35665201, 817233433, 80438376, 907797398, 749557771, 898026295, 683045057, 151519936, 827194715, 764204640, 217458895, 133776319, 144599035, 411921019, 704204086, 611453839, 374162114, 824891507, 164122143, 836589849, 605615611, 217859112, 902662874, 394831311, 637607254, 575169282, 800030381, 497002710, 650997486, 362524743, 747174634, 655357890, 305956891, 925098283, 523114204, 387867506, 889697959, 688435396, 165792841, 768286970, 389520063, 387448565, 118633801, 787226464, 650070003, 429046251, 163609428, 34668457, 45521116, 507464393, 393924576, 389093615, 372333314, 360527568, 965853717, 266071460, 660485360, 191997465, 916152290, 651805856, 598368600, 237711689, 38559696, 428570160, 974216749, 133675820, 6280369, 168162907, 569527871, 878645378, 156226192, 350193805, 331679186, 300322035, 482208536, 321889727, 24446613, 941566190, 908115494, 731258454, 161618923, 998974512, 326543059, 961746990, 74503316, 308675290, 469927472, 494480207, 936011220, 464596640, 624191746, 456928972, 739597217, 343796821, 478940258, 659655766, 596736287, 406440355, 807422328, 734603455, 973533709, 175194365, 6802303, 286586552, 448621027, 534532358, 96179426, 292135459, 407754378, 652593551, 631127561, 412208706, 408544449, 420583980, 583759519, 761581033, 319115566, 62674934, 279907075, 138681886, 421503296, 102404411, 295022457, 63742111, 187607382, 895411841, 680644612, 23632721, 540849616, 330412243, 150963154, 76280870, 501598607, 123651771, 952848533, 117513319, 97193703, 487513383, 386282671, 958151797, 289889111, 485698810, 104645018, 780481315, 38401948, 670669890, 639501121, 938114816, 219689111, 520213635, 262283309, 901302393, 145396696, 308235606, 724188792, 781008513, 719237187, 889455717, 591210483, 225588961, 27177056, 668694747, 815247160, 948883962, 580962229, 679734409, 469728341, 323015353, 221388750, 661419368, 389042475, 718632833, 77164446, 482039392, 337108227, 636911021, 182274850, 630942894, 140126897, 887542240, 472317092, 321141246, 814471726, 117989669, 54600151, 473343111, 700815318, 465520622, 20765598, 836280753, 216748760, 763550341, 127731477, 255967670, 259660875, 647270634, 477714936, 283381924, 52246746, 230281456, 984787639, 829501764, 972165415, 906448818, 969318173, 462507029, 92552300, 863123364, 765538974, 437440798, 756256034, 923776637, 32056350, 24811060, 886981298, 602058500, 264335022, 746931616, 411491479, 837213410, 820041357, 693066443, 611621254, 746392781, 855064473, 292305280, 388639735, 233304939, 966715940, 41113925, 403423047, 708150866, 568135508, 776887607, 374190086, 924389812, 714248582, 904221726, 152741436, 879016637, 864085822, 59878782, 339091149, 818546947, 988330764, 97271430, 441932814, 691402693, 225305253, 78986220, 316841370, 313930023, 141049949, 839597275, 244201107, 443706712, 96415466, 105961813, 840280439, 188656385, 211266547, 227850165, 924837827, 239145553, 526357369, 126252816, 374500394, 682798911, 493768817, 639718544, 106228260, 117340982, 649501511, 96618806, 162317011, 874923341, 549469094, 282734706, 815314049, 361274868, 512377781, 911884384, 131613660, 663684499, 419153345, 249152862, 322501649, 188572320, 498036905, 878038981, 593843880, 169870020, 616140121, 770874675, 100848267, 55104098, 329740501, 394034196, 572975122, 894579573, 998198764, 106549152, 227666644, 2836009, 765729681, 623818589, 927027639, 176660416, 513200766, 225882058, 857449297, 644087563, 881121435, 595379135, 507260066, 413532575, 716775216, 221341108, 36370262, 506327199, 415802787, 924595018, 654820986, 330125572, 262200142, 184486541, 510103948, 830605770, 134837001, 94269470, 478558788, 235182575, 60056264, 805417912, 88630908, 563426627, 218106157, 565231815, 419109602, 206642620, 918525837, 62112315, 422005459, 16639142, 312842017, 182910673, 76826371, 846928365, 356232375, 484898203, 337821222, 465872814, 944088378, 15087559, 128258020, 778049658, 284849438, 784457504, 46880140, 505785892, 746956277, 508179008, 447883665, 919324739, 608501290, 830995999, 485924863, 465375762, 482114104, 340130703, 17093569, 811399868, 70430942, 458342214, 210155644, 40316310, 329950439, 287198863, 534650769, 114407704, 130577434, 732230435, 499066347, 74131918, 550179784, 898442144, 764086520, 358950083, 766651477, 725557112, 473666552, 228164578, 436371007, 81359423, 530979699, 190238962, 447048702, 530559015, 560197666, 33071433, 728001303, 63608677, 93676469, 596005987, 848681828, 749544233, 717900358, 872554931, 856171127, 428183314, 303951902, 452565174, 107475052, 299238894, 645010815, 414789583, 773897863, 343830692, 376562730, 660394972, 486295161, 124868762, 669751826, 751470236, 634277053, 156396053, 498138641, 292729184, 573010447, 100913693, 369560033, 182003488, 511811917, 736236010, 437125361, 949374004, 490046333, 963246738, 259620333, 62521003, 774297932, 955152851, 349796873, 96644811, 684452761, 225123239, 495654107, 665507123, 644826919, 898484919, 221611021, 985274848, 131251482, 311112178, 70136389, 181540010, 734200283, 913073446, 464769328, 177172138, 5261052, 827149502, 474126408, 565820391, 219211892, 909448638, 241715063, 308749550, 14472089, 569050805, 343535526, 930181590, 833644264, 893491197, 271090975, 513530281, 940042284, 192547564, 402588308, 682207499, 41912788, 400557369, 256361116, 636869369, 23739839, 614110853, 604785610, 462690687, 74326839, 895282858, 887949286, 760621772, 334884756, 513525968, 156437406, 29951050, 397526164, 112040868, 833070821, 295693385, 132005261, 255298664, 92467741, 631210150, 759483409, 36629504, 898419620, 972486626, 191051388, 774826495, 913095695, 413846008, 616358602, 338284152, 166215278, 172269282, 212904639, 458350559, 545964413, 97697848, 755076026, 338637972, 49234415, 36442070, 329728118, 563346499, 532091694, 685054867, 604027800, 14829640, 182546154, 176340308, 5970052, 1529375, 962178547, 634141329, 465778999, 516715593, 853361205, 431091494, 501136499, 347458881, 572265056, 710173427, 45770766, 220881277, 676748598, 745303721, 558894565, 57210969, 643780362, 412898655, 478867975, 152215999, 569997057, 267873507, 249443369, 235410360, 428703886, 181261863, 241561832, 511995468, 68413166, 811839632, 303936858, 812875274, 654739770, 834689175, 951191218, 688404255, 204284885, 196593660, 64841274, 45386093, 673865389, 529302137, 220409501, 379534571, 813213470, 560408080, 547992729, 44453022, 331186382, 475814994, 64313694, 814578431, 514007812, 16672094, 802306469, 972459441, 1405550, 384064935, 595300303, 578709177, 434360356, 18570009, 492655091, 743778801, 676181087, 103725683, 480492340, 563294075, 617802667, 679123288, 785004296, 337531899, 780442449, 933421412, 266253070, 834571921, 532186986, 633963417, 893331951, 802755188, 596103921, 13785244, 4098596, 229324060, 345622909, 976191160, 204998233, 655690564, 255276044, 379248461, 397004064, 254245716, 184762418, 94922417, 992515947, 256114901, 422046468, 51468799, 52340223, 688582806, 687906851, 572036359, 819276210, 538339145, 553178285, 626307946, 732707498, 815952838, 687854363, 606507813, 748085220, 324390051, 167219874, 686451017, 15435942, 234405244, 259246610, 678499730, 689580899, 663503503, 353470968, 869455633, 690144856, 43720259, 957047650, 781346303, 489283000, 961001681, 768259120, 563994147, 298249992, 765666580, 586816110, 669859053, 164042926, 36223189, 366936781, 388461061, 385332579, 781593369, 872854379, 679735822, 309149234, 165421338, 118607777, 986229295, 548718956, 183337636, 437938332, 841444483, 110634513, 848880614, 308441849, 974393552, 874895908, 891697552, 534909088, 885995416, 230606857, 67928181, 969245224, 311475631, 88682426, 803392596, 628456979, 741452262, 666455945, 914324247, 126435115, 582512021, 519272548, 451281495, 445846504, 9340113, 857461169, 66787062, 759500984, 968040814, 142876765, 580470482, 423852676, 602328049, 139337477, 11517719, 703464644, 978035012, 146970103, 127319194, 936176880, 606045078, 242073569, 332581814, 948270084, 794393449, 421769255, 93068290, 935215521, 292073598, 321062439, 483426274, 780692179, 419041235, 64015594, 66295981, 676436652, 581821969, 960822588, 73672453, 579836988, 82330549, 516742276, 221577086, 425104969, 976741976, 236762320, 332853018, 545053451, 373746288, 717925409, 62024803, 100391442, 233542162, 130767988, 875196115, 665249421, 159270098, 626072642, 658319413, 751338394, 146901992, 207350173, 788318092, 101182383, 241154502, 971649735, 409785466, 698181415, 203642481, 812299850, 324022699, 962931526, 62539015, 688597261, 282811166, 663467257, 482006783, 187847878, 354765320, 134338525, 531267570, 877718625, 789444174, 744543442, 935859526, 904182496, 610004400, 515797688, 317200449, 591291342, 685184438, 118667186, 768625404, 219201766, 469258478, 403895575, 294611592, 876292847, 777345433, 379809622, 51052012, 292041340, 492392263, 767892361, 615218279, 999298346, 779972011, 900891841, 571241560, 307078275, 998736286, 642246553, 959601829, 320119988, 382511917, 662441686, 178480874, 247654954, 929544249, 344463283, 477424845, 451202124, 189567238, 400523867, 975841121, 392592330, 11305005, 792514394, 350777665, 221506667, 649603846, 903428383, 868488500, 992010851, 244213724, 522071303, 399331904, 752846266, 717446057, 784245358, 464632713, 713090267, 629901542, 5979383, 161049790, 707976485, 410108815, 555842951, 772616111, 220238375, 741365887, 799413046, 176572416, 851316727, 926962134, 223149574, 13540494, 378737186, 992998791, 590823221, 672504243, 761070300, 555175928, 500008875, 853134766, 866974787, 405924346, 540839602, 285927771, 824890779, 431436321, 484183082, 443026111, 896769395, 38004515, 665761414, 610806104, 873335971, 436742526, 797176470, 247162340, 143293563, 352355954, 590806481, 637428822, 706361473, 406562930, 888393574, 711896362, 57238668, 215002429, 866296990, 804173396, 144375390, 211537060, 534865171, 137994320, 177022526, 273808417, 552052594, 345234863, 33078003, 748187637, 603670321, 107893423, 904905425, 425626013, 501838856, 546161906, 734164157, 529104215, 792152139, 355093769, 761995153, 140357303, 83384383, 514916641, 174771544, 21125058, 624900121, 266162051, 605272175, 653629142, 681851646, 568736596, 132540582, 767448160, 799996207, 135942914, 655733352, 366303819, 793280790, 611307483, 916268811, 178812712, 840116499, 338407692, 682996055, 894778566, 167853599, 731381734, 916442293, 546891301, 667358817, 219974891, 505135635, 426043596, 810986119, 655034577, 257103093, 661292476, 185861926, 307767284, 153894013, 506821987, 508980076, 66632587, 571228972, 660551259, 246533494, 19579730, 576449067, 554374940, 153977045, 628969390, 226017798, 246351962, 388977965, 53900891, 354115890, 498658072, 756071954, 850359907, 93994583, 436697835, 720723736, 515721514, 613434902, 106865457, 505947037, 638403860, 808295164, 729253157, 880018396, 81162229, 711371909, 938192712, 945251039, 859134601, 261770885, 709373395, 553953846, 345946735, 272986839, 225462337, 595387169, 98283278, 462863000, 164134955, 227957351, 557935994, 367290060, 234615338, 383629127, 400474607, 423925389, 842745965, 32078394, 24310237, 634158729, 89400319, 591082560, 903585444, 776117466, 109950290, 684585224, 364465125, 804623536, 412109860, 711942302, 18311294, 245897873, 453014637, 55152324, 865389273, 149518297, 377974439, 833211359, 333945366, 769963559, 75356638, 645490890, 681127287, 391679875, 390282160, 371660941, 257553030, 52615770, 798331209, 887546323, 836556725, 152532505, 873006083, 126803876, 835365876, 109134314, 242953122, 129750628, 761392837, 779969953, 153392061, 476714365, 507910267, 764927499, 633279638, 669276538, 609436605, 725832898, 598418539, 370711033, 696251734, 232928331, 630167100, 257926743, 197299157, 101098435, 11895779, 389301816, 801476641, 70887541, 852310241, 309380863, 225539641, 679665913, 461241915, 553035879, 639447514, 200877404, 517417934, 164014871, 744383796, 54007431, 224962933, 738387277, 722292966, 156298937, 249747051, 984485339, 295141878, 901871191, 640921448, 942569742, 815469543, 656219174, 900546188, 632180714, 369072909, 162001296, 20760452, 564674219, 835753474, 10856907, 887290682, 43029118, 923480493, 860275255, 87039872, 776583885, 797943828, 720684466, 958498647, 984037133, 477909959, 321340543, 891179127, 220707342, 89717912, 383691709, 946552488, 69462298, 550589688, 799931487, 469893510, 268830432, 894299794, 305961871, 981052648, 572534218, 181346385, 105499890, 250194, 872667217, 956700602, 315409740, 802200404, 752690264, 121410575, 334993662, 196414735, 832492768, 10430822, 867400784, 356046982, 960588787, 359461879, 271850193, 979439225, 31497354, 866349260, 833557393, 658854508, 706833655, 708388751, 248058960, 142610128, 930394695, 799924094, 835865530, 229237829, 701905081, 412365567, 707752529, 357127092, 810034856, 846761987, 656934889, 783737450, 211880334, 569314146, 836198760, 741944298, 259229372, 840911744, 472239924, 788209950, 423830439, 489493141, 197526530, 115721397, 633897245, 768787423, 94659410, 281777707, 568557542, 719512776, 961443319, 971386178, 73647506, 47079709, 102893908, 384097448, 332681764, 36731856, 392588047, 764509957, 988628050, 690175947, 664984852, 985672183, 883168283, 531806955, 493968347, 877150840, 209032568, 271336061, 454810027, 475272578, 832406769, 62139852, 615806882, 212908758, 760462569, 288876513, 89154227, 730533561, 79779648, 603794215, 913442975, 44766524, 373544249, 531817658, 528441954, 486228888, 556657020, 269613074, 193296809, 764389271, 635160535, 190641955, 377186741, 108495269, 513151972, 589046392, 8602755, 50594510, 176129120, 873052628, 811199530, 647077247, 173554404, 53112316, 956513949, 478752432, 20470136, 125904903, 158014537, 716075221, 235589274, 482410508, 866212216, 790702026, 82815604, 77029717, 913465628, 222536605, 85054611, 306337598, 993575545, 977995019, 481851437, 920812533, 868626338, 782528655, 160180081, 18077935, 461059224, 560186127, 850018463, 424182941, 654163302, 222488716, 10256981, 847556410, 403050898, 508968671, 746240266, 333294953, 262243502, 118428282, 21564048, 15181469, 811054867, 992703648, 91839244, 147793301, 87850505, 500497479, 229523453, 870672814, 657004922, 217029909, 969353578, 116920950, 620054016, 842810726, 500984010, 677489002, 679168369, 41564173, 315250962, 868043614, 204039227, 565683346, 831533692, 806000751, 326332420, 391191059, 305020645, 941826191, 17186278, 824892410, 134307296, 788432171, 291957981, 878976367, 172348229, 213818755, 703021027, 303508303, 555336737, 358800521, 184889011, 830421811, 659712179, 306044163, 248837509, 457761546, 611085549, 267850848, 632506504, 296497750, 836215576, 189855820, 140032771, 146409046, 411628952, 749274722, 386590667, 459005739, 645936650, 401483197, 485950202, 516442988, 768244910, 961052450, 692361752, 793501724, 330883650, 143138272, 252531601, 512221284, 999049882, 315272965, 311766223, 417656279, 360721642, 714067250, 510577557, 10837148, 563844378, 347380557, 936695487, 696974712, 300025871, 81438137, 443964501, 510470680, 988913231, 404580211, 659377072, 694064696, 989397113, 662322212, 941588695, 89194804, 453469784, 920489560, 305552781, 741781491, 68173110, 362242289, 156518930, 316399963, 301533072, 126304930, 830853669, 961339731, 635118737, 675024543, 62491937, 799161690, 729766092, 560468978, 798423685, 702084912, 507047615, 951047110, 106712354, 426041823, 626350523, 582533119, 898470229, 752921218, 945176809, 629906760, 398341733, 456065360, 903773315, 987252827, 915091595, 263008477, 355972536, 977503906, 982438077, 74890398, 491482432, 42528573, 727628212, 514691220, 258058808, 540751102, 180193999, 889888881, 570583758, 418461411, 724001852, 559951606, 764716344, 998592253, 675745745, 441215420, 98157543, 896273590, 973382377, 778867677, 945485768, 582834337, 67171212, 331328640, 944809020, 482413825, 214790203, 514397300, 159079388, 830102444, 589394925, 124173729, 775617282, 970606297, 132275341, 991229881, 62712924, 107616951, 681252251, 904448150, 428671037, 651794328, 189459514, 605123256, 445978191, 22441708, 176819952, 413159888, 134087111, 855664427, 695622054, 330995284, 285858328, 686630429, 594779598, 622233660, 611350147, 718272547, 114704604, 927518455, 857911838, 603121300, 404478076, 625916027, 462289930, 997011482, 741125465, 730947637, 169307885, 655708396, 711616632, 735386893, 658579149, 569288636, 477798521, 681322620, 5804326, 995985714, 393474749, 853792403, 603601887, 78699766, 852329616, 24118142, 423357650, 385227354, 858799805, 690901980, 607122000, 149343097, 411395371, 394632816, 340423309, 733513440, 544661042, 87555993, 329665262, 59354086, 922980016, 557638742, 914737796, 620348434, 896429734, 547228135, 834738687, 660734821, 137167733, 830240000, 511622912, 807254286, 970536620, 641764585, 794529024, 192210347, 121389060, 497099197, 99361069, 227586650, 610153541, 866567829, 443762790, 95507701, 506147194, 654789716, 991266106, 571491373, 872338392, 768088112, 874278444, 971201339, 718587376, 348082345, 566757563, 443335132, 776132422, 778122976, 985347431, 190390745, 38541135, 674262698, 785024726, 27716429, 803143706, 433979900, 64636589, 238339954, 53235219, 210466020, 158379120, 875308463, 367740048, 372293868, 753720663, 399499405, 667224273, 971410951, 342962787, 933527037, 476132832, 125948861, 536317697, 48137010, 466080253, 197824550, 245035368, 341261197, 543233450, 55811546, 726681132, 964224160, 201779490, 893369030, 541353218, 725169368, 541133225, 159165321, 133885138, 698453426, 629988985, 551982076, 517004587, 254234687, 27790039, 383908732, 123069613, 131850383, 434176995, 531244357, 484850168, 498131765, 138598196, 113482497, 778416353, 94721209, 451190893, 159977821, 679427274, 995045116, 958321411, 434125642, 839961475, 478284216, 400450716, 246398862, 318671510, 642812879, 296582343, 950765967, 343118991, 91617403, 34576811, 923387482, 104329739, 39591161, 939073127, 63331887, 369188738, 20937291, 738295824, 257668192, 212518459, 215489932, 837601823, 67748386, 791453284, 486952502, 715655198, 228463830, 468638996, 872824691, 843251702, 538860972, 458216988, 920442338, 388365947, 10710475, 790052207, 22685895, 48412841, 35769442, 840260647, 169985529, 774933836, 423843688, 794733691, 618923052, 91571890, 878459848, 757822313, 322226255, 39230241, 511287672, 658309944, 548350442, 921103811, 520057964, 954295128, 169154439, 895254070, 137947369, 856039908, 610063352, 419194340, 191295383, 671742276, 890759003, 31053884, 540093289, 288155521, 446998247, 22620470, 351238993, 359958736, 690081398, 790214115, 305016075, 755215457, 12413933, 750311770, 939459555, 356723874, 810124083, 132591586, 698691709, 830210807, 598819465, 816740495, 298199236, 830979661, 581507527, 391735400, 127304331, 75969691, 425515929, 342000804, 837441500, 332714662, 487720495, 24021979, 271855128, 78172424, 797867928, 522686773, 899805025, 661130702, 104571001, 419588984, 402903791, 58225627, 945046951, 101827033, 76568176, 655312802, 339041752, 671884788, 937845125, 931238443, 78333452, 447946157, 53761225, 423078245, 739714513, 777798790, 750441296, 490786544, 250031627, 799261251, 695794988, 184906180, 500915905, 508933387, 680351870, 381061039, 439598959, 818993431, 74136503, 564349790, 296262842, 753937425, 690659817, 323597246, 796627366, 916447180, 528099324, 241346275, 492671062, 776968066, 599434574, 561767688, 959305266, 820244174, 896178473, 186492272, 434097897, 610770889, 282407166, 56902412, 118539099, 978003618, 659781461, 814234193, 711073211, 61894401, 846772277, 712450100, 485559319, 78523152, 420006520, 326529767, 374181464, 276626240, 681159684, 666046977, 849747130, 616598512, 333301045, 308968164, 37964435, 232947768, 221194741, 546430939, 954285163, 858869600, 686407358, 84622181, 344901455, 713907413, 389337144, 170607235, 621009310, 276654532, 175147120, 967940140, 249695378, 664559704, 736332312, 595607931, 697693134, 139094083, 307850955, 514541928, 383319958, 512110189, 258201574, 180723426, 91283469, 776554823, 184461148, 152517742, 980754664, 814319114, 662960156, 135636750, 253349385, 914580536, 724260895, 847118082, 893455798, 272683104, 795679817, 77221982, 442434877, 904692654, 632170992, 390703469, 204548856, 114993422, 691713169, 970452573, 873381791, 731143822, 922390374, 266599055, 838091957, 411062003, 604946661, 395202229, 236354630, 387045968, 780577325, 895974026, 987945395, 836125888, 391008272, 844164664, 195174595, 393744887, 136945234, 54058178, 685479689, 635656129, 588076011, 252630357, 680260544, 942668653, 576110681, 777784089, 400781048, 245151032, 599232983, 84605484, 376887935, 121879419, 548715822, 345814081, 945644841, 485115293, 733881951, 752498760, 123389173, 232798848, 606373153, 113144452, 825117190, 567523029, 828576190, 813279580, 647146307, 739524209, 757189893, 397229670, 977069384, 950657485, 351320591, 130511889, 969949796, 738285013, 942037191, 875674110, 990920465, 178910903, 150396007, 746898792, 356619246, 604170936, 742016544, 659500443, 358723473, 918281950, 896686420, 486006974, 293226973, 885358870, 103912401, 678932909, 770540150, 752128377, 675427074, 218740804, 204676430, 878227929, 995476366, 365592894, 199139734, 457604265, 76667367, 819385630, 636752133, 878506038, 737924420, 505560433, 116616396, 886626226, 313100396, 738912311, 184483883, 468340890, 175883540, 794292570, 121003624, 245504150, 409232597, 40486441, 840794260, 692448813, 511791252, 37874766, 514797059, 98359065, 636704286, 245313215, 908413906, 72225890, 198323405, 39130633, 452962301, 884138289, 249682604, 159919409, 216258396, 910688073, 469365220, 165186311, 788377882, 104248960, 474582802, 533077530, 349328721, 857262789, 364013446, 524293651, 812231331, 524801617, 136305717, 17262271, 833773371, 721741197, 796148446, 602845184, 536649611, 291707711, 930904869, 70381828, 470314283, 73741257, 105529821, 349537322, 41064579, 468986213, 13763716, 599047005, 76558911, 703427325, 975542232, 428966361, 65060644, 487485419, 843671971, 883628755, 638431181, 137595656, 767726132, 805244547, 626040445, 277370339, 565040317, 513850686, 261838657, 831264510, 96673899, 740814444, 632617390, 86038280, 835594485, 864228041, 213421548, 479094851, 291672568, 324190766, 322607217, 756529342, 840013612, 222968851, 954419095, 44175791, 777372623, 958988742, 160111145, 918780081, 509692894, 688206109, 899516405, 639400611, 659253409, 462586043, 728862471, 913486396, 909533112, 491905235, 530233669, 227911147, 698079473, 642851035, 78270570, 962022206, 596634037, 561163032, 260374947, 562540462, 985603099, 953968456, 847792980, 70625987, 791302155, 125568504, 301636553, 369625600, 10425614, 275779033, 762998874, 628768729, 930645909, 220475640, 306891181, 55253351, 973129249, 792543879, 439238002, 811524680, 507059579, 113022388, 725015106, 236371790, 772239300, 673758906, 251968381, 413749943, 409805687, 807267484, 460352962, 722778854, 223214669, 728823763, 615193826, 846639355, 946990330, 480619851, 81363707, 552242031, 107563147, 109057790, 993388625, 115610893, 624487351, 176474746, 815921015, 594808797, 114786312, 80144548, 951299457, 690934479, 958376920, 389759589, 999375660, 525894305, 723379227, 384112854, 415911529, 416451835, 136281654, 481276140, 733234650, 940359425, 862549002, 492155145, 590675586, 589368728, 748097317, 160851843, 732048379, 498063564, 964202493, 77999382, 854189027, 676813302, 562742030, 280188245, 888862876, 495100362, 261987036, 779813355, 264210001, 835294108, 197780764, 698252090, 817678929, 618917446, 564406902, 794777063, 385755569, 383039558, 273381028, 922152621, 268937618, 459910870, 238659074, 854781572, 327930904, 571238748, 103176967, 541115587, 508063707, 753635986, 540015383, 765165746, 505325940, 284579730, 305201001, 526308963, 297748097, 835265863, 637660592, 726792545, 491267142, 724531727, 479701701, 588358525, 504698732, 970020241, 772359792, 253570033, 37174916, 989968559, 678073022, 175782714, 348784243, 624914929, 813559065, 985301021, 489417008, 513227093, 46490565, 481289013, 731593200, 369824927, 858469495, 386360515, 384591650, 937733599, 279436260, 777763556, 925588680, 578157666, 926875682, 816877368, 830767316, 454967698, 699084137, 674783843, 54297999, 516129544, 836647065, 531295315, 546573346, 581317790, 853546781, 233455533, 604996028, 121109988, 721547583, 406080100, 706575243, 104596024, 907727441, 43392153, 300571075, 996728702, 852935969, 153658428, 6020672, 964941858, 25330383, 7866633, 344604267, 605213275, 178962401, 658212918, 271350544, 796897681, 429494524, 857864275, 974011975, 847872830, 775452450, 917225963, 109704557, 759506073, 831268874, 709883312, 38156034, 426348921, 869451254, 516442066, 76822665, 561177932, 864126808, 329882082, 271915229, 780381076, 771990193, 344153953, 850304097, 73052788, 15645850, 591022595, 703279888, 900736001, 126744175, 378365229, 604124390, 27487247, 874166292, 400173912, 511972980, 232217527, 495900806, 444196777, 759297535, 427204918, 444059020, 346903239, 3706344, 341040705, 539999428, 79185860, 71402853, 983851198, 600741494, 967706226, 129618235, 583187251, 843982144, 402034026, 736106487, 917181610, 661340524, 494527078, 233587837, 714831415, 723927379, 970173533, 88679741, 367899452, 40291140, 365954133, 121937660, 927210387, 531463348, 856873794, 535483815, 995502624, 820475571, 8993749, 620387526, 340660275, 456994156, 917527818, 574901170, 642880421, 114578242, 562881026, 501926433, 433018142, 655642449, 697780052, 664541924, 917355694, 299157800, 438645775, 958636280, 481877609, 700794867, 373887882, 730375075, 877371935, 936361566, 850279352, 524208145, 530669607, 757143840, 32109574, 521158400, 184831432, 899240264, 978932422, 189977470, 378080502, 447654, 522229206, 667148648, 901379921, 818699043, 521353419, 579170895, 305833511, 714568984, 656859123, 269665733, 566510367, 779431071, 320743651, 735483746, 775246984, 367781555, 843564786, 795043394, 285100527, 36246539, 207672564, 792862831, 337773666, 555698000, 341951371, 211106043, 971891172, 813144345, 786892549, 642215271, 56275173, 25338503, 729116423, 522676185, 795104372, 250174828, 858523887, 402032232, 649223526, 492611022, 476678411, 270291390, 15693461, 672482803, 414314904, 113593155, 16115990, 622735087, 798727072, 861355370, 490952186, 8413949, 398544633, 628323359, 512039870, 552574363, 550662316, 208591101, 36753241, 848315029, 585663894, 468917252, 264968041, 704560704, 444299723, 546141831, 335277318, 640659626, 752836734, 563139250, 469444984, 71087694, 684798095, 893464596, 576942019, 203924055, 820987409, 382415822, 679626818, 123985216, 88842557, 984175499, 414240522, 732967526, 774299612, 64232060, 406174935, 640098922, 240871602, 447066864, 702859506, 117374246, 627585030, 374732317, 963760316, 939466614, 544495906, 942340731, 613896666, 672115868, 293949932, 109168853, 228950000, 770564756, 507479639, 288009478, 368366821, 471066995, 742716230, 961648285, 739340962, 318705611, 51574483, 656497976, 703326415, 108218364, 194387320, 515963350, 448983811, 873569309, 646329706, 69593243, 920851821, 787677764, 913395298, 152130889, 821603723, 244041570, 121231151, 188478095, 868235379, 375543426, 592133057, 372714463, 400824957, 57714193, 751268044, 99332294, 639686713, 422560312, 290959192, 803486254, 120660798, 531198814, 468750334, 32314678, 998140098, 347475324, 96834955, 1355991, 606514038, 124294382, 709629342, 774777764, 939828501, 297803189, 929638475, 906243058, 282594119, 350183550, 444309239, 628139669, 135459612, 377382812, 961033459, 961147012, 218225179, 753858026, 47005387, 119268526, 84187319, 149147072, 889766736, 439108087, 840341551, 200212946, 836886434, 162179730, 260584946, 610323917, 508423210, 244615926, 357414516, 492326865, 161181687, 656183108, 288716694, 168351909, 770528902, 340418744, 117013911, 89074442, 807487104, 312441700, 186127758, 881409039, 289270704, 562759620, 157910656, 648771508, 217531951, 247706235, 510437717, 129763352, 950643033, 393563050, 337508032, 184660720, 875604818, 37905675, 210586726, 894292444, 350572261, 296073379, 688821974, 712063269, 10707447, 462546220, 772016108, 672672538, 804848961, 626378254, 56430630, 472284107, 580146152, 647229450, 256993129, 421621665, 671633012, 357073952, 964560756, 550883350, 444993969, 726248018, 427488178, 37555316, 147931183, 328863065, 855233192, 333584136, 259139624, 984720745, 541092362, 883128670, 176712093, 423342239, 771745231, 952348026, 582606195, 979451475, 670799243, 898649324, 848616293, 517365451, 58951977, 80909402, 192456033, 692871465, 310615392, 362082929, 768489982, 508684398, 151130194, 179103852, 984094223, 416665955, 3197287, 918505550, 470774392, 643055155, 961563237, 979616074, 183428144, 420670013, 996860754, 926047222, 77749779, 725228770, 163571365, 679153547, 541163985, 602977917, 398706665, 85734279, 480544008, 810751466, 45349027, 850717862, 278169551, 869270176, 51115166, 476095885, 382361110, 837251245, 957497082, 768993455, 184202269, 859950077, 509661320, 971405485, 236407553, 717640283, 853550856, 793401649, 632972843, 909682658, 862226290, 959357316, 204436647, 713995378, 536736742, 952991548, 680334804, 22851052, 19145618, 678117439, 307482116, 153205811, 766718687, 964924565, 461596038, 481898140, 807796086, 990743908, 309385038, 727862002, 690606822, 950315718, 939868946, 63072112, 373508041, 861087344, 283231653, 449783268, 826878613, 433561003, 745114644, 70792788, 941063268, 356245450, 597886681, 204204780, 577502657, 544004511, 739441349, 98430762, 109752920, 208720855, 751485650, 914816975, 202411389, 266740231, 889015861, 987968259, 793166087, 78291027, 436159791, 332827393, 945512881, 65873306, 215284504, 57062284, 926085448, 760926427, 826577551, 772216329, 505294290, 473704696, 473151561, 147413381, 73369974, 949287387, 373881244, 612176119, 555728566, 927731917, 891271868, 787874652, 811073755, 838624392, 827101728, 509631850, 783542116, 341999480, 331539832, 363976023, 11996466, 512118695, 754620592, 842433211, 723049155, 856901404, 467782503, 897382377, 871467267, 676835195, 779592808, 986030577, 950229067, 98856627, 39375374, 159381073, 804862932, 390091585, 313225029, 727030804, 237476435, 453155171, 54426713, 492816759, 297170383, 537963635, 352520704, 54148086, 219346969, 354260240, 231351122, 249185216, 698105901, 598186034, 882011708, 432936549, 51836104, 568586834, 126105841, 643224403, 840261875, 327780360, 758291799, 375032871, 597336859, 113493458, 566912634, 337555697, 527783271, 10041133, 265710726, 35698635, 610896758, 388514613, 981708100, 53607401, 459547942, 785979286, 623660961, 46231950, 126242943, 608356225, 763083892, 258566332, 608102914, 671356779, 1397073, 44191096, 142254083, 866826771, 374252863, 16311417, 245930015, 581904393, 35558652, 121691544, 299716204, 814414923, 187124662, 288638620, 768488458, 428907855, 620995281, 744470338, 922079879, 186815401, 452622815, 38418783, 790229019, 706586689, 774431088, 2069856, 989006064, 450477107, 851108427, 255326152, 694294806, 401630562, 463616380, 398575521, 703756461, 179716294, 505088941, 424974143, 981095788, 740110498, 524447931, 102550570, 132739284, 658235109, 504478075, 95818748, 722157035, 106449379, 208006394, 242222035, 381660331, 652366567, 347344272, 761002608, 171867326, 690343006, 936520495, 477014191, 68009875, 93501928, 675051693, 268276315, 672046771, 916233613, 128932755, 467200544, 472422948, 564987816, 102387602, 227526395, 246452909, 151828591, 606312585, 307058761, 557411488, 370424569, 89032340, 506960839, 276131785, 848436679, 698668327, 961654345, 991721365, 132064428, 378328657, 683910826, 144557409, 618959648, 71813783, 399218924, 212678075, 886061735, 2865853, 766195974, 617495153, 697270645, 155607141, 228414512, 405718991, 104985402, 909071179, 719606221, 59130199, 759881300, 819173588, 93768081, 179763928, 604625699, 200324591, 602849796, 134118583, 810082477, 172906198, 217610567, 755400621, 833493826, 127980123, 658450854, 533645031, 811217479, 677904482, 222588886, 994369236, 843399486, 682037897, 578574720, 12013653, 204027465, 335097035, 315111732, 327393925, 680248885, 684764707, 835874158, 267406330, 900481942, 235399952, 622706490, 67379273, 963645507, 152676412, 198743202, 788596366, 406237611, 398350904, 949576582, 339671528, 598893206, 354394093, 264843762, 495498317, 527089257, 350701406, 406388206, 927787491, 560024453, 351971093, 828163658, 431925229, 619757138, 478880167, 984592905, 349558988, 829534587, 528434776, 892058663, 713357141, 9248783, 664665037, 276164259, 169251560, 348585926, 593578992, 903340803, 795678795, 221497027, 502817542, 35618342, 400979603, 731499642, 979800271, 407196332, 564669933, 558074686, 395019049, 721535665, 282429539, 488573943, 933250501, 330225075, 253714937, 220211138, 786525006, 549734019, 436704871, 870829055, 427930525, 16053851, 381249136, 643992099, 718942760, 989322368, 811637293, 415185126, 610698231, 888423265, 969287506, 438838916, 138366119, 541166038, 725740666, 377786643, 999629503, 928821251, 717858768, 724920075, 534206307, 403189912, 25814084, 163157447, 995852111, 456392162, 329619306, 146068402, 774622685, 701958401, 334776578, 103309811, 859077450, 714206041, 261603469, 928108725, 233161654, 721712205, 418691156, 337794258, 33350305, 32783709, 478671630, 703418069, 483633424, 208876915, 8253054, 69344720, 267629391, 233035771, 900936142, 401854283, 898207822, 938679267, 171548771, 520574583, 680414306, 661398315, 671060407, 540265907, 375392893, 949280303, 170503459, 973796604, 394443654, 723412337, 621965119, 445066719, 739992977, 615769781, 628803367, 103976854, 732059094, 53872183, 653308759, 870478476, 759168560, 488233659, 695874565, 214916468, 412998035, 54685521, 767262040, 985575391, 828526876, 644118554, 332975218, 595312810, 186973604, 723321804, 428754024, 685089186, 564145918, 683210362, 499556515, 985674106, 478200070, 810247136, 743043645, 222372063, 577944618, 204891389, 984715786, 181978068, 107580593, 85864710, 898820447, 43260270, 670238221, 523819029, 935258583, 203004434, 209822519, 569184245, 124547344, 512467178, 612585270, 20558147, 787665538, 791659683, 556592210, 175416882, 726236651, 141701563, 93505999, 147888385, 667890873, 583212894, 190991870, 479980260, 22535723, 391387840, 787298780, 93058124, 936101750, 72668451, 785386012, 863717228, 253671867, 897394463, 659190734, 443333954, 990431285, 551591929, 403586515, 928965751, 589375983, 856589090, 157775197, 133642436, 25570232, 84428508, 950526822, 96988529, 328323095, 185367719, 706542042, 899842850, 636769822, 595295984, 940233645, 912091359, 781780697, 548878355, 320442790, 903909822, 744817791, 82712857, 311292230, 528478722, 851195908, 88996398, 594975340, 128749510, 630439515, 968357652, 362584692, 67868513, 271687586, 982282774, 342213665, 293425061, 753340052, 781288379, 862326112, 32287425, 810465226, 416192521, 356568718, 331897101, 62073572, 871994250, 976281386, 875031394, 885045984, 891552481, 769781381, 234451312, 250316431, 180768713, 787968012, 594817040, 270355675, 818937229, 498224599, 548928140, 427747260, 455196161, 748358340, 989509379, 170256002, 430399540, 931039665, 424937285, 534925473, 182359323, 804800300, 556090902, 978574296, 307760437, 128743253, 19546286, 372591902, 56476460, 378807165, 418131012, 1975259, 74266083, 366893828, 806572141, 898914921, 435551793, 447745191, 637469510, 608667604, 859775638, 780048638, 840703647, 96076104, 805801425, 132911822, 488434004, 888419383, 281461303, 741352674, 86883512, 179436460, 46739856, 449486812, 295611204, 373376670, 304706096, 621317838, 246601956, 782971335, 449932427, 602735723, 311972605, 678783495, 700605458, 659477371, 834391526, 18601016, 586362587, 490901537, 344509051, 465330652, 822594525, 97787032, 518638460, 180567077, 492342946, 681502684, 643288678, 839995143, 176684776, 774700403, 717789181, 219892753, 13451939, 622769565, 214378849, 959834404, 629321624, 685871848, 270452748, 564631983, 197332506, 899040303, 936217383, 219078467, 799154720, 88904390, 287259286, 724011468, 623998029, 838375649, 588760377, 45305176, 552776349, 761997798, 55251434, 370982493, 898693169, 875922357, 63984151, 95311674, 158500231, 88260203, 679039867, 588203913, 280985864, 81170408, 972732838, 569329138, 842422945, 964144042, 363884329, 442476882, 368325060, 849410477, 537395044, 42361596, 595752614, 386799936, 861032400, 519226592, 903921042, 941903541, 135654896, 13797163, 840139671, 855123775, 74421517, 85370095, 768702473, 999196352, 632409162, 456928651, 436943563, 536125058, 546473689, 27950220, 930611099, 376511084, 47344533, 391484562, 767764361, 158027473, 97344415, 913776575, 540078356, 425024917, 268116720, 383946210, 537071657, 960942985, 507482066, 162694725, 424479755, 780117668, 304404971, 596834114, 236152774, 390399303, 886920705, 819108898, 952953584, 637321964, 81231003, 908684549, 654429049, 222808824, 277516384, 360020886, 835492480, 542845951, 603571519, 757607617, 407803519, 711632309, 57237206, 464905454, 895667046, 50129213, 442237421, 986386359, 130602164, 454051425, 773866938, 793084241, 803832603, 491968114, 866966614, 250499328, 794209961, 626075246, 101205818, 246357195, 662030951, 82010131, 241383109, 382198310, 259458039, 915082633, 48449379, 258497781, 70924140, 490670183, 567025680, 140902695, 214370801, 52701903, 785270407, 212566968, 903054791, 557618184, 322043053, 521113507, 393021503, 223842012, 828266814, 19073475, 986148657, 189896, 852137807, 237369761, 540867931, 493461115, 830710061, 371944433, 157096, 822696117, 926792831, 790552149, 149542742, 875475311, 263341162, 498567280, 865771817, 24426181, 298509079, 808869834, 60115568, 421693840, 443106293, 697913829, 681516370, 72028738, 936920298, 580795652, 145193033, 536126271, 340120488, 641962635, 273390515, 818178222, 510376730, 621271252, 178700516, 511604306, 767984464, 232563748, 79360784, 551516419, 660450387, 732246157, 323532631, 57972064, 881156697, 811348802, 41610134, 496502972, 622635559, 552281061, 734722058, 906618907, 281873751, 167399539, 775040853, 424515249, 825651876, 387902414, 390643739, 178000583, 988311404, 286655957, 907679819, 889296929, 433097819, 186677888, 395362472, 202990718, 450677767, 466487998, 37563874, 222743976, 700041750, 395380169, 226730616, 349241250, 548353668, 906907064, 874858547, 273183590, 797519621, 710421006, 110305504, 879227816, 505676552, 430588341, 479981994, 407018250, 37158322, 898679763, 942668050, 451810890, 511803525, 243131301, 972617195, 380871258, 149724080, 730113767, 223250783, 377018910, 271593149, 30632044, 18737223, 721131972, 190646947, 906341616, 256470953, 555225760, 69210624, 20546185, 705457561, 870946224, 695044231, 75740133, 293277839, 548073334, 610948149, 454581225, 313542709, 596797497, 655644050, 711059264, 595940252, 55838734, 39068253, 985403689, 926243481, 889556477, 131371845, 431477747, 441250707, 650754096, 233464077, 357225275, 115575861, 485408887, 963342752, 887874952, 43276035, 37390807, 542295634, 630093221, 404363740, 202309720, 127617483, 508871205, 449013208, 479992365, 804967991, 407398113, 299535925, 366254929, 453815648, 313676804, 728230043, 825584643, 716636324, 821827781, 945839036, 66685331, 893280498, 358831257, 402324804, 350438085, 426811002, 238818649, 25087526, 186407362, 931153878, 691307129, 288532815, 976321592, 62431988, 312790221, 794085718, 77162742, 877485907, 436135753, 62927067, 773204109, 271403128, 778502611, 635084361, 509625953, 817339061, 513811268, 429634492, 846645891, 852697777, 215171906, 724880841, 956919279, 911273573, 549131361, 152048388, 429869467, 396017593, 851184803, 74572545, 768051318, 213400658, 99603573, 105343804, 190686520, 392185027, 522664017, 694120303, 209527911, 56675523, 444316040, 421651776, 395963385, 217347075, 44466288, 357871492, 489889351, 802920669, 649770023, 753739643, 859978225, 963409793, 429888298, 929571323, 470971619, 77745345, 426748370, 465020468, 332979674, 928220097, 958216976, 140939215, 97953022, 964696223, 141742684, 186289647, 658221883, 743049830, 429540660, 190093878, 323126355, 966801305, 521050710, 114677373, 601526094, 389507121, 885475379, 723904403, 318678456, 451276075, 429671970, 822529231, 103978968, 726439384, 25641118, 340592854, 730764981, 799798571, 420460023, 625664709, 558214991, 15631605, 336516352, 861268312, 455274745, 209034241, 971331903, 774974557, 966352428, 216278807, 568372964, 4569074, 146293084, 870601162, 26488570, 631552141, 475812731, 539529561, 421429405, 4085915, 115785344, 434786155, 787127920, 531612351, 145761904, 635394026, 542695510, 685791596, 400409757, 95598981, 620987461, 109737118, 782904117, 778061290, 187891702, 898535816, 852828980, 951849420, 383518035, 218442078, 698118555, 936670962, 438514166, 66122021, 361703311, 901427499, 301374907, 36870310, 524381545, 613442444, 273133321, 797574704, 130399509, 678199395, 620938578, 244314952, 442263189, 233744104, 661134990, 567701746, 52987426, 76320970, 528256173, 712897589, 996996707, 616682992, 361454069, 827876724, 271154061, 545750337, 867888301, 839348783, 335601096, 335855314, 731990300, 866615154, 671714353, 643745593, 663922261, 952182175, 820776176, 152327301, 220619567, 986342041, 902617828, 433696951, 791976096, 306493266, 398684713, 224889980, 557181767, 154964988, 964249440, 894263612, 771386961, 947657092, 896633415, 624113664, 776666912, 417002763, 822867570, 149912584, 923107944, 666877107, 419257748, 343808078, 890427121, 346737030, 387331302, 547738850, 617546179, 960355266, 323726074, 973348960, 914470856, 866866224, 197156719, 797468348, 3267625, 989009795, 676956016, 834391531, 784750313, 880272968, 896889303, 830233481, 312381255, 457981414, 416013086, 195418406, 481022794, 207621588, 948305360, 471476670, 596569751, 474149764, 625188397, 81569052, 204058906, 102913203, 523005083, 99850534, 887007649, 477325732, 366729538, 840650275, 422894148, 465628435, 48262607, 174151921, 328389529, 166418086, 93467312, 516314761, 303535388, 949576958, 699467047, 997393033, 664969059, 86020279, 644127831, 703951918, 745376176, 878340881, 695942934, 649286400, 890759179, 981187135, 180114670, 790882294, 931942407, 830764316, 880340001, 915748914, 854165826, 317736121, 537023024, 130450130, 908434251, 7172493, 899790325, 68355339, 374052090, 144214997, 512034747, 103225200, 194124971, 846739948, 960116612, 296730949, 60842416, 678976229, 671845545, 992328304, 496572428, 647666162, 258418641, 121980297, 694237378, 886711412, 153525843, 393624156, 784457684, 597772341, 52022688, 205455739, 407642958, 93272043, 301441897, 598827738, 397026192, 316739104, 630368699, 971845475, 802873170, 803214281, 754923550, 486089789, 369609056, 243515302, 432530790, 613983396, 217378905, 39099621, 94389371, 201601503, 859581589, 931603699, 585622738, 319566610, 706698384, 375586861, 29074246, 169999605, 124052168, 913609096, 794849736, 975370580, 551421987, 188565714, 74367152, 672260689, 950520037, 37223827, 986290506, 944017242, 159120925, 575833797, 246064892, 611927969, 302489586, 602165802, 143054344, 831451768, 758933894, 300654811, 979087327, 952680909, 397757719, 858700629, 493934399, 920534327, 424986968, 240148414, 507099643, 899011212, 279066076, 386758501, 209072178, 848492765, 936128695, 905905592, 665233712, 236227807, 130783677, 417564679, 529737034, 99817490, 989140438, 666177881, 879230083, 144481928, 141912285, 8551477, 700193690, 925038285, 537242138, 845656106, 592789320, 931127923, 883376641, 729433588, 123955691, 174758427, 56284211, 413297504, 502743670, 257750454, 196336751, 718983617, 383687403, 543053546, 628346681, 405366919, 574412387, 76867974, 789684161, 746044209, 174898702, 458109634, 441597067, 515979202, 709610505, 876838107, 463503401, 354026459, 415382132, 401391014, 806111107, 871499976, 185174559, 747903655, 646489773, 271836832, 397704293, 339286886, 333876780, 577625159, 943969644, 53072141, 750308594, 148331955, 465046877, 978487670, 950872562, 696143409, 421299664, 375324150, 432374317, 461812277, 644974279, 466393054, 801217303, 845410388, 462231472, 454202013, 714955848, 824678581, 803244917, 455337797, 345140497, 554091497, 310096135, 300761894, 25443080, 348213179, 935681192, 133544100, 124198249, 85653258, 847374360, 908877894, 588409206, 210349801, 182566729, 835820478, 819771514, 85504066, 154143941, 475066395, 126233919, 631941065, 397379307, 620768664, 237985565, 673261203, 650481886, 518073721, 153623019, 669650529, 374961475, 762626756, 98399667, 702230290, 153946466, 357600788, 452992422, 931713352, 763111978, 616545532, 877104525, 183783920, 198757960, 358711595, 130841201, 836724041, 262024974, 708067862, 968660340, 683219404, 67575654, 811713870, 8862311, 86214801, 223527303, 35863281, 193031781, 496361694, 577168638, 906284547, 124255417, 878833948, 616170392, 494293918, 528274238, 883630817, 352875295, 245143320, 538580646, 83679469, 523327031, 620220447, 162115359, 377937527, 240999938, 965235727, 935522536, 167343746, 895926522, 659802315, 770217285, 305263702, 468810669, 468352939, 905911531, 687810712, 574413858, 895818500, 344889040, 628292587, 977919306, 758369766, 455651981, 270946665, 817481968, 746340844, 321224011, 938683223, 977328259, 134089138, 640686426, 576977307, 378625114, 610877673, 195115064, 842666858, 541614679, 333880272, 244739958, 486761093, 679384644, 779951154, 235817065, 457338609, 427817159, 25503136, 664534121, 449587881, 675572262, 600210017, 12332011, 143235386, 56408211, 360272817, 455860456, 316503537, 532725032, 788569264, 981670581, 275310502, 715084069, 405855563, 629409485, 303657626, 604173340, 590435879, 166406610, 247083914, 311401810, 880589270, 120877495, 245743357, 268189366, 642956415, 34837734, 480352137, 302177736, 165045449, 922836688, 378566734, 760144548, 500231788, 451846440, 877809350, 914949319, 859416058, 151251459, 723247753, 69710364, 393962480, 275259098, 777318661, 606217229, 985555004, 62271450, 301500625, 388571345, 696523335, 20691345, 931201204, 521135709, 717376752, 590117762, 261667524, 492841088, 8206807, 98336501, 94692887, 455607120, 103271578, 492074748, 631915211, 844546782, 104884390, 168717512, 480939094, 978160398, 551677547, 520839364, 474977305, 735735412, 481225596, 361305453, 853673880, 184266164, 347198214, 194367044, 382632056, 998120094, 889539941, 89896848, 940871449, 642714453, 909002408, 971916430, 639295512, 124506374, 333949290, 656112456, 653231751, 838159632, 998186450, 952464663, 18170408, 51701563, 480872433, 713256671, 131472933, 435159083, 177524615, 255932662, 277319763, 358317304, 117590125, 382915062, 131036743, 323978274, 895745338, 833222874, 198382548, 818592512, 901728822, 355827384, 687656790, 411612913, 121155545, 236366847, 931634936, 132112060, 681141110, 242877421, 516094046, 491728967, 971842229, 787666781, 535880120, 763377167, 249254839, 969925391, 912922667, 720910551, 162657613, 666194006, 164180464, 693840185, 757338061, 895773073, 763336921, 988522379, 258295858, 833027114, 6403203, 605758479, 63573951, 771396359, 347111244, 824674386, 523653114, 546034112, 333953339, 708426511, 266891200, 630581970, 548103865, 909326326, 322663623, 653352504, 247816487, 934606289, 127627474, 112549027, 692600215, 166003825, 394871285, 999491229, 606963133, 337694030, 807310763, 860955343, 334518454, 605680958, 837331049, 306688006, 632545144, 30475479, 196093323, 777731741, 655209821, 506947041, 481020167, 854261200, 683864432, 303043470, 149597052, 567436446, 464378690, 774980032, 65716692, 269458797, 230794664, 25088439, 762867218, 536896527, 635404668, 122170865, 577709862, 917340976, 442551885, 448486142, 394597748, 202681413, 123792473, 407394101, 63954609, 363602778, 291454403, 800593900, 616245226, 80808730, 197986289, 88438162, 212358022, 676821469, 874576822, 844659928, 293432961, 228493470, 876943534, 831131595, 119546784, 587528815, 897412555, 669594425, 735303586, 454576372, 229844988, 399186351, 591257481, 3635458, 202260702, 602430835, 672797228, 972090572, 535196849, 627665501, 888190613, 320877873, 957325960, 768455100, 77583922, 57078780, 646648646, 156558123, 49710376, 812183747, 26376823, 950379041, 111340245, 774812180, 910350180, 172575394, 158892348, 535189598, 582872526, 419269502, 214555432, 328741641, 244941109, 542792685, 859890817, 331743555, 883957277, 656642733, 706309251, 760955856, 875406863, 992953360, 615774604, 159053692, 615180401, 86584893, 911159292, 315755788, 351819632, 102327562, 136458115, 408286650, 252789920, 423789731, 352509379, 769324300, 608829335, 389000939, 737073095, 938672679, 124025588, 512860975, 28619717, 251181966, 816406882, 506801475, 497780356, 115450205, 92141442, 447302057, 958341375, 147412508, 866595554, 19238659, 858724790, 432361759, 862943535, 62388817, 957918199, 862043617, 645823553, 860316607, 415853229, 138566999, 394895850, 795757439, 860962168, 676836652, 244785627, 701839426, 679823751, 923030299, 565354358, 740944252, 732580696, 554455007, 270126718, 139193759, 314492018, 839306545, 131882802, 119622971, 162994388, 662487349, 815589397, 392141096, 99367577, 6863519, 819442323, 986545811, 670556883, 280000122, 364510580, 732892077, 530807088, 37220044, 742870454, 727718438, 799255158, 855561094, 323372319, 452403154, 781841979, 861721310, 599738336, 140374579, 281626469, 960822539, 160336447, 93379420, 62102201, 819601216, 523626718, 295912375, 361046143, 59498997, 67138898, 369187726, 530694281, 47590362, 334616449, 844134905, 880141965, 340138943, 132046757, 816681821, 576717677, 172834626, 539574546, 548857878, 667149265, 112274813, 654174721, 140155485, 418802485, 30269822, 183492361, 71611519, 747320948, 690781933, 25046233, 402285177, 237346569, 380007724, 382996502, 87271021, 366615862, 232004847, 767572741, 806410431, 415592365, 364284482, 610179989, 677530099, 858700220, 139499154, 426044378, 886793242, 410999684, 379013686, 92501427, 628544541, 560913372, 812633423, 411717004, 61034440, 550023485, 87208890, 986187310, 667583945, 32887041, 951218692, 701091218, 170989837, 230056055, 11945872, 263037157, 163894622, 64400091, 716450329, 147355439, 172133386, 375783064, 325367355, 148149083, 566110201, 359217946, 495948764, 50846998, 490436049, 177481086, 41221509, 91259239, 388445297, 875446973, 616948565, 404441215, 500089600, 707047661, 500100541, 739400761, 506789718, 68124844, 701676847, 974537636, 71308628, 588959908, 622535497, 844660758, 173386876, 982818324, 861052538, 691757538, 859138998, 238777665, 339128579, 340194003, 846046097, 941663918, 829904307, 792663177, 281156043, 38022908, 548353773, 322782951, 469301841, 1868017, 240604061, 968125871, 831728464, 682270179, 777824579, 759561213, 949151979, 584290495, 661040715, 481769970, 827666004, 293839865, 44270795, 715915491, 980810928, 208176105, 743565001, 499807929, 721979270, 262845130, 87086722, 228776687, 110003514, 347758729, 251473841, 630352369, 61023499, 846111161, 266703498, 877153035, 955436647, 603176123, 808799003, 489626185, 880333910, 493141409, 426364417, 429618644, 728298515, 654795564, 305693260, 197052847, 915897489, 991252892, 445438275, 575465255, 965958985, 298782500, 291305069, 601594039, 542155896, 510810483, 557994645, 164188386, 63307973, 305812083, 470060441, 821526849, 992665935, 573804767, 411431772, 583529116, 648323161, 709580889, 572790702, 127004784, 235270674, 195696201, 913495328, 798862487, 133626985, 992646813, 71236054, 303295183, 417084418, 812907536, 725614822, 219874180, 601252008, 988328213, 649769809, 241513713, 519619499, 722826587, 504741107, 272943773, 480843246, 377377407, 572152038, 74246285, 566826206, 641333999, 476080636, 724830179, 830267324, 188510376, 388135272, 33675684, 6805221, 372208585, 826318532, 953410185, 715467996, 229670335, 897011920, 533523057, 861728575, 671135258, 288010080, 529004866, 435605620, 176206570, 899805749, 898061098, 540539632, 643133450, 452819121, 956553113, 906563866, 762469316, 894940359, 928127539, 960090293, 72891308, 317170354, 671989700, 413607935, 30561838, 910377257, 680233539, 670383504, 867061631, 433498516, 132144601, 800027174, 917931929, 517486945, 533692281, 121710005, 888745005, 855313892, 321711999, 191329372, 753097384, 668330269, 569240503, 284410320, 222047787, 105297614, 924738276, 466596987, 729781257, 911254799, 589625186, 891583740, 957090586, 616365552, 465840479, 65769771, 155323903, 844412463, 145439305, 318599493, 299092913, 596701607, 595440667, 211557055, 131925545, 852370497, 511247209, 976999240, 993825405, 502493297, 307821281, 894547366, 936024736, 40347232, 968438875, 224069518, 450433756, 798170970, 705995740, 795027569, 944369414, 260638421, 658679499, 981220190, 652340394, 701757498, 652876821, 376756194, 422185324, 213350036, 139503993, 623050408, 951689315, 195132408, 637593238, 132946891, 843192205, 256549951, 665663327, 880693471, 779492030, 22597984, 451409639, 853635317, 856430828, 166721174, 742914789, 576404518, 39397410, 462820744, 922178288, 708595921, 749185389, 648117715, 803634820, 85677732, 129519971, 822441511, 143613092, 107000764, 552824102, 722677742, 426995267, 142222971, 897431130, 448246337, 216532336, 746068825, 480339528, 28824685, 529587725, 70042980, 140893597, 473492639, 208576540, 627836549, 272655760, 993866097, 329196533, 340061684, 845084727, 183073494, 74322949, 576056931, 477373849, 315945708, 132203296, 1988593, 316791540, 24727042, 241100089, 59770117, 581686126, 377583931, 403487698, 302920385, 11196269, 804951842, 436319362, 806761309, 654836227, 834621231, 827845481, 317356352, 829062099, 160582745, 509806947, 335974201, 939554395, 279869100, 530891580, 179170526, 86062501, 261435641, 72473543, 227360039, 119096548, 234199550, 881027465, 154514328, 668235364, 848355101, 594276087, 848620389, 388129540, 304086043, 972587408, 824851270, 398883587, 121063308, 419523984, 122068416, 28495849, 391126811, 492579149, 334193456, 806005413, 277822329, 465256010, 16619499, 240333162, 647012846, 356000203, 988542129, 923002354, 702124075, 703461577, 226801569, 647247437, 372914616, 405823446, 439681526, 89178200, 599619453, 558778393, 940976267, 892627605, 361208398, 7486588, 811847798, 823723351, 107410531, 373544949, 564602348, 894435475, 422855397, 894296711, 193106563, 681431761, 312704412, 263008006, 811472676, 821346747, 759358423, 582184145, 80172253, 359757433, 843449966, 711935626, 438869852, 321102563, 704738076, 681898942, 941673654, 139113920, 761850660, 307662071, 597154566, 185620719, 779949426, 857020722, 660373529, 239667906, 332962794, 263561138, 164341798, 975619968, 842355894, 413484624, 79888577, 942247986, 962596891, 377731314, 462245359, 710821169, 759356426, 357992308, 721216663, 639630982, 531981641, 695916905, 464600767, 85265588, 304337794, 755584584, 182537415, 505017514, 757670149, 500927795, 191428826, 195139108, 50151371, 788719937, 561542082, 713007529, 425744272, 58039201, 238380675, 818650657, 764658622, 430051988, 108009748, 262738720, 940328552, 447227115, 628889130, 974455437, 412512029, 607414731, 747061952, 530595242, 641304692, 918300061, 479853846, 967147885, 146015429, 326353886, 42356452, 923582377, 185084397, 835944168, 627119031, 138615994, 486644713, 834485263, 871280457, 576670443, 112943167, 794206983, 558886950, 951952993, 92946971, 447951969, 630630272, 614396050, 650400148, 927415739, 389391219, 687707293, 924650327, 546755737, 377122392, 543623301, 518970615, 506014870, 969106752, 360428600, 333811234, 166971155, 891171388, 608546288, 148504328, 515718407, 136068624, 652090808, 532611126, 159051587, 639183609, 738241278, 697507722, 719299294, 396866933, 680856395, 496860452, 155970988, 601615384, 661454668, 229704258, 271000593, 314535908, 524845863, 44998905, 119189605, 444949863, 985251979, 680108622, 84230405, 810902569, 255933787, 200476009, 752288961, 695059403, 67978655, 30242110, 353789875, 508940545, 91309485, 605042824, 923577415, 596418244, 750521312, 389374489, 744553191, 609242549, 607743233, 191137580, 135833343, 13073271, 527146897, 791157349, 433699238, 200802090, 851865797, 924696749, 257191611, 842823614, 319225941, 709065594, 739205069, 483496856, 102670928, 502136087, 98705484, 532060658, 824752949, 978339321, 433124485, 97424338, 687866179, 98276026, 180513309, 274214252, 195189279, 244795967, 575786981, 1577268, 636285498, 318958583, 18736864, 356866219, 46298457, 242327033, 339481388, 97079284, 884903772, 546106518, 71980937, 517496092, 553206025, 353811494, 122834016, 415750004, 627559746, 748516255, 879481292, 37440133, 651582880, 992754685, 311713790, 744416198, 48292844, 761306491, 111762821, 189455534, 945249289, 65999483, 996053008, 777456557, 201762235, 365249220, 636373872, 681989472, 141608111, 78327039, 348854450, 164296494, 904275247, 520526858, 300742977, 431784206, 51588997, 59775797, 256135133, 834083987, 846045291, 55456038, 767325529, 708124280, 674919805, 136609383, 849255299, 920565049, 303452642, 317846268, 407118907, 103250462, 911646403, 136313190, 848897264, 267437167, 419574113, 211590680, 882769870, 253142275, 144919612, 253536666, 494175242, 343271565, 292164935, 479649210, 33864692, 393580285, 558034976, 260536714, 491666068, 153801954, 750502764, 556702038, 66932332, 498864989, 852621867, 539087913, 367153628, 45343652, 408286103, 74684167, 942080072, 496383611, 534716398, 414669393, 759093035, 200250748, 1550302, 979084743, 987087896, 335884304, 714448099, 860263707, 981010905, 167012941, 847787624, 633272925, 909963810, 713756179, 308020512, 815818532, 349724152, 5033611, 115184463, 546931713, 256563669, 111667287, 268995115, 303164771, 668426057, 328231656, 768988437, 137766465, 737080294, 16815702, 354202559, 341250368, 119578306, 43256918, 402522162, 631740459, 589773807, 773753314, 469742304, 505547235, 19124297, 650496595, 948699960, 248833532, 405521419, 888068116, 516494479, 132446111, 106932482, 945134520, 204314297, 98839245, 157741809, 311733833, 21042016, 582460549, 821235526, 88109167, 15840914, 456270867, 37777556, 963242650, 199511556, 687556787, 409832711, 979966162, 63427975, 161781285, 558357123, 352838560, 933706420, 319792054, 368055059, 895302354, 323947737, 353262610, 754654344, 898544547, 97254215, 581986472, 324636936, 215149827, 856172685, 199477821, 777835276, 212763359, 398498026, 493405779, 22086502, 248835005, 539429380, 111394479, 156546990, 798000022, 146971903, 11390249, 87054109, 778070922, 190157018, 51136291, 525601755, 652047249, 204625207, 955159361, 153410514, 77754178, 578045378, 90419937, 354592215, 724995567, 83197751, 768115793, 577831645, 24737215, 510265454, 764545007, 480266985, 222822371, 714149155, 798193307, 134503919, 193074903, 482123874, 16457049, 878364758, 994804865, 332738510, 316025805, 718749653, 245192692, 289169038, 534226813, 927527514, 788927813, 230746642, 628745875, 614092811, 203107889, 156825165, 381472907, 692772781, 714488608, 597073130, 987152426, 719930677, 802541267, 358738013, 164864849, 192148772, 131605610, 192749041, 250401277, 397271465, 423642600, 655619736, 848257999, 901451388, 65436397, 206105301, 958575920, 571538926, 24701775, 17962576, 509692501, 805112341, 568841302, 290132699, 671548356, 982872667, 45056966, 541020424, 274232922, 515732512, 982938806, 199797073, 704973236, 808514528, 968614006, 594080042, 648200428, 589255760, 920472535, 434896204, 4304874, 443912623, 31922821, 777777789, 827839349, 541052020, 360128270, 944044001, 967147216, 688928370, 794148966, 786070749, 478236244, 849456718, 291245794, 58217521, 75487451, 832621046, 304283844, 329927521, 213330079, 831140089, 991403027, 776860196, 742073915, 628803896, 452212807, 658804914, 436592135, 243224242, 414666725, 119478253, 131797461, 314129827, 45008622, 173116790, 321146173, 329929055, 437919231, 3646200, 999616106, 10781786, 584079677, 226459115, 741601457, 936953151, 953406278, 970595727, 419259228, 207446373, 279473056, 50821601, 129113294, 835513465, 997420875, 685289325, 319876517, 178742371, 572029261, 254851662, 473230960, 880422133, 252851152, 402476488, 610765521, 333560271, 558194300, 968554450, 655058466, 544077036, 863273645, 318705546, 440957446, 981128530, 709482383, 24463754, 521742059, 449395023, 915189408, 846764899, 788389432, 255266077, 824709844, 349911943, 29945912, 841456407, 763847605, 331832469, 8398434, 680818809, 710586193, 903194242, 81760546, 187329992, 19784040, 920652537, 308388270, 792059234, 469435596, 861449726, 770793487, 192577058, 457643168, 82360719, 135399871, 609457327, 1752737, 430928874, 310793350, 467162861, 192483992, 279685945, 752592560, 900600202, 484670056, 588701991, 738742570, 777389449, 563168630, 113708200, 383759595, 911848849, 335714400, 28267264, 730787981, 834781496, 842945479, 479244125, 659655039, 578894822, 193832490, 781388051, 393705446, 832619959, 376903937, 231980942, 502732709, 690908120, 207462847, 724076646, 524329743, 585109301, 57681674, 484064030, 415016276, 54505502, 144403467, 107920929, 360340461, 655587202, 461581159, 491641330, 766232967, 676716847, 633901904, 369473028, 755974217, 974466582, 484402024, 296044179, 700708664, 466365136, 987194237, 612915937, 116435910, 500661858, 627553617, 354523773, 503041941, 858219083, 200516963, 386026422, 124671132, 334611823, 451325605, 626313165, 243249951, 299335144, 704926394, 759626079, 86036522, 66664252, 161638289, 415474954, 927435131, 355785912, 576969037, 971669753, 174155856, 901858172, 976888269, 207367867, 600771198, 722248571, 93353650, 151314442, 414568150, 420565646, 178600338, 594698451, 728188325, 283961875, 780401341, 511250669, 541197084, 638837311, 513456433, 18577091, 344624800, 399201053, 521104846, 802652480, 266239342, 683824967, 640547356, 594150260, 870869426, 988681916, 268630517, 604490397, 378551991, 434675155, 920147380, 134608800, 862249909, 779632688, 90778386, 769508527, 742854726, 143390675, 57396524, 763244977, 747628520, 764002325, 887758855, 162085215, 923212761, 114239926, 230890772, 423909687, 649194657, 765870954, 212275025, 392112741, 92423765, 277052286, 752494153, 764595499, 343743126, 210923371, 820807604, 737734329, 411485797, 719096496, 995109706, 796190578, 108561363, 496746234, 834046321, 47425955, 451452167, 303983848, 933742837, 899921688, 694520631, 21122058, 890020507, 49823675, 109810756, 110944151, 496958229, 804392161, 631096307, 280413982, 580332092, 401727422, 822802848, 588154227, 977931296, 377144113, 335497071, 898885096, 484506554, 705804241, 207203296, 45869977, 651527074, 942638861, 338672249, 807275741, 459282255, 636951664, 324176288, 400125759, 653665868, 174103992, 996141561, 189149341, 58115081, 514895786, 692391307, 220652756, 118758545, 431737501, 736225798, 318716430, 167999269, 486463414, 930832008, 580472087, 859782625, 258894038, 646078961, 771131169, 112418058, 820860466, 98087706, 524500928, 563842016, 176996341, 676586883, 937386578, 704181139, 250761532, 874872121, 84479636, 452439385, 683225741, 71844415, 522592444, 215217177, 600487601, 506406133, 188192311, 202080610, 670969061, 405582990, 515638372, 227150808, 583002316, 100446865, 837574866, 370835474, 457849426, 757920592, 989922665, 289967708, 255324014, 123046160, 109948120, 843478379, 623943657, 931291732, 333342881, 528899844, 808983261, 406022715, 878206066, 50640690, 275428052, 539540546, 648907500, 681332297, 276405651, 576874225, 968626564, 950580175, 738538059, 195275628, 594606501, 595903491, 997375122, 957970945, 351079492, 481830021, 288666747, 645865143, 902007277, 202003745, 906982912, 821346419, 161913173, 249643097, 802307, 442535491, 876948542, 11368638, 251923406, 234564178, 247386464, 291096139, 820441192, 492632070, 515493460, 742543168, 273981926, 65783362, 295065328, 128392291, 702991167, 630540445, 486428493, 365400465, 50694642, 975155054, 802446544, 682258533, 914645128, 934338432, 639876503, 633266644, 499698974, 410855143, 451384478, 513962155, 688163376, 330117475, 816112741, 817328564, 269570531, 936039999, 580167299, 979167584, 449477199, 288133256, 430495857, 248378103, 154139308, 742054773, 965639655, 691763570, 457079261, 760613539, 526869229, 886546044, 102176759, 802602768, 910674082, 745201095, 590299345, 807090953, 674071738, 977600702, 369858403, 886903746, 180277721, 137447412, 48231698, 865071282, 87986513, 305950335, 298679079, 362082477, 105306931, 141251133, 262506976, 227715541, 9233687, 690570587, 865468096, 26332373, 464041304, 115266067, 640312839, 901504018, 400250031, 741498923, 664829986, 53110056, 640448114, 961826468, 842065975, 152778500, 151130227, 465718966, 824691780, 613082040, 690702683, 625059759, 3153555, 421095110, 238175138, 99674246, 243659028, 202598282, 822169783, 824535872, 412360563, 529148755, 485129469, 809608557, 843150241, 330867270, 673583455, 7520683, 589538619, 276653122, 503117922, 217912531, 931369631, 39501957, 467044641, 759232885, 632780278, 200785511, 249426731, 206566917, 133104128, 712230975, 936356675, 360663247, 210606916, 410434668, 528798370, 650001544, 319747674, 980070720, 168891630, 609032442, 103614938, 356749046, 885562068, 661674055, 133306546, 766824182, 962619998, 855643951, 525049061, 96338557, 498116240, 230359116, 148571596, 859161869, 918024410, 46429460, 887106154, 930154232, 39102759, 623397038, 961756214, 238264502, 154584908, 881758400, 793750541, 543888522, 479266067, 560453807, 178958019, 211204906, 628088234, 791009617, 302224087, 628237856, 967531329, 242045563, 58773004, 579116240, 521989584, 635396328, 963558492, 178926362, 462232090, 177794976, 512545607, 551398491, 820275990, 960386524, 143402705, 553028203, 598012734, 352741380, 449430293, 332223037, 788354416, 421201794, 883173821, 180609100, 541752282, 362523525, 70887403, 495674867, 878133259, 213094863, 384735465, 230719289, 91371944, 259692044, 965136237, 626937066, 105577493, 164483923, 939332245, 297863375, 746178940, 513900075, 506939528, 319378455, 228685413, 126760135, 409150513, 183866682, 110724344, 4464528, 626555379, 947944230, 791539410, 964267784, 396791558, 998758162, 768418885, 368599415, 897246651, 49168485, 364460862, 418198122, 865588825, 966395405, 616117672, 277026233, 384976735, 256165830, 822770663, 872225043, 655369134, 867164436, 281505351, 793059163, 598453204, 331899461, 99447372, 916684939, 10115978, 354402636, 524833285, 456981676, 216936, 633970386, 190643328, 268624703, 467320757, 404553457, 948007396, 742221146, 610195120, 364728249, 539083438, 960339597, 327957468, 731321707, 957539585, 93463143, 359958971, 833221526, 467527444, 649466433, 583310080, 685521438, 608921569, 551755268, 156276483, 620554269, 60286114, 105447483, 56288202, 494293604, 18482813, 316804290, 592190736, 943794166, 306579605, 713787468, 968303931, 8848973, 12996002, 178202364, 519541108, 358638379, 501739965, 548985079, 918011409, 568585680, 691899278, 762941907, 171175549, 89746373, 233210965, 10419835, 937302150, 634444967, 41245968, 558049249, 689685664, 841885138, 266742919, 166218952, 473483252, 868246228, 647678332, 914252977, 360658938, 585705565, 445367541, 489897541, 358156429, 189202323, 963941103, 703488722, 486443698, 793096444, 622169287, 431522462, 724226447, 529932431, 417677105, 775586110, 648971993, 84886554, 687882736, 143703384, 840350955, 10564955, 587140305, 919400478, 969746000, 28602753, 154527604, 595499512, 120266279, 808593953, 739675851, 522321155, 621111997, 511728552, 215987071, 250433540, 289169876, 197424996, 229937375, 275123839, 613206902, 449685670, 839250151, 516325077, 695900273, 9927709, 128014309, 399562974, 500525207, 657530197, 80971902, 517770948, 172868744, 92292288, 943480383, 146177280, 209410685, 931810237, 172300983, 453712199, 418219615, 753294636, 858099302, 446906020, 50315625, 348729961, 486819153, 528031568, 877824924, 741587688, 378343115, 459659318, 358599572, 272207617, 660945885, 812281098, 486369593, 98308485, 22879204, 488819487, 693239822, 613034070, 956845, 609081075, 328660295, 607155939, 592323552, 100292785, 561397589, 571877420, 374731747, 714807601, 898061356, 332039338, 661687063, 266003162, 648918002, 499138939, 197832888, 767995636, 903803470, 56946529, 243841580, 91483127, 868312644, 389727973, 483763606, 894466263, 807589259, 851407558, 401992025, 696449202, 792703448, 670670584, 551297457, 949161329, 578931252, 592202875, 85849288, 106589736, 981022427, 828490766, 291562890, 722400170, 957915970, 797047978, 175527056, 988123353, 462280656, 524285460, 32119028, 632894937, 219091465, 190343289, 719577249, 197518061, 393396223, 711339173, 976930437, 420064469, 389494978, 763681758, 898968509, 368176693, 781004969, 79885963, 877108206, 930457059, 929309220, 431113373, 106645450, 522490268, 204950432, 297601498, 840822041, 42788992, 388426951, 618862091, 539035746, 200139228, 478108437, 85392403, 143447220, 587402793, 572129795, 646047777, 363432306, 859087230, 211561185, 355554209, 759063641, 851023938, 8536451, 47160110, 295743470, 659771860, 389348670, 471230723, 548257914, 909125326, 829623391, 814571234, 335073079, 101675816, 723709165, 430141623, 805547969, 21863389, 107914405, 469422398, 488903643, 214629869, 591974321, 845608001, 446338459, 740025665, 408272753, 969816042, 82059823, 469895949, 250727455, 309363578, 512402038, 720863057, 119203804, 867359102, 233353581, 73376918, 603345589, 129774511, 254449326, 835622928, 631319821, 726760775, 299783245, 213806278, 495017295, 359697125, 881529974, 502704479, 109959829, 397074777, 399449153, 883863409, 537222306, 674710448, 206202196, 256048775, 420134229, 703938717, 317395221, 386415346, 151698906, 893405749, 118684636, 929158986, 962140323, 30481205, 840604534, 750289628, 338501479, 288351152, 45957503, 490989597, 258993666, 458087361, 187495842, 229449633, 277591623, 55787124, 40212025, 555632084, 355125899, 707221426, 260905319, 103455974, 921779247, 564104820, 453975120, 28679267, 844987910, 917870946, 833394997, 537405604, 42483903, 923673112, 408018313, 307594874, 52966144, 802768416, 646715969, 160285267, 399944068, 704555591, 33736132, 761441442, 281500261, 901208504, 408462618, 120251939, 801109245, 275921388, 36935760, 198031419, 89456626, 522493103, 190345008, 769564320, 851479813, 645527587, 467498864, 718419245, 961340978, 114644291, 847061787, 700514578, 752471444, 875686582, 630901708, 945659145, 784117504, 100780691, 961514782, 193475399, 40055170, 987634031, 711318467, 574050818, 269050476, 643172404, 740824366, 660517615, 239774490, 738629527, 441294003, 91274394, 804761591, 968238677, 676471901, 715307333, 255477761, 231056004, 151032983, 908668210, 665261491, 465689829, 199827911, 173293871, 502621403, 644193744, 457176626, 95586449, 559212922, 812907464, 306364125, 93932351, 504953662, 650904938, 262428421, 79736987, 405245927, 629617697, 473782892, 267633277, 804485252, 40750576, 718373238, 802284567, 899508943, 33391337, 161750596, 571097983, 144467481, 39243147, 142051540, 992504159, 61327913, 237758732, 975398246, 533614675, 821282541, 803778465, 666053596, 482474688, 287343026, 402110709, 361467820, 660682459, 766863962, 940971332, 133443376, 299322317, 403289380, 91773147, 578740420, 178337753, 626487223, 3329078, 133029916, 3445303, 180192376, 348345874, 382546435, 166253188, 762642188, 407937250, 357625136, 577200245, 379724244, 19232721, 345288519, 722704102, 223235722, 598922463, 881090280, 630053391, 718604012, 141511726, 273913253, 102354794, 476017907, 422540672, 695048655, 265734182, 240752030, 72436120, 74561677, 369765754, 986102028, 271213492, 144489834, 932666818, 473117188, 947829933, 341732375, 416832921, 206474181, 188913129, 998511470, 73646354, 299332842, 270671030, 77491204, 199382630, 620056299, 593621476, 205712819, 370899908, 27972373, 247878908, 471032089, 602821904, 36654639, 472210204, 1506888, 675608009, 188051949, 1167041, 532098903, 476252659, 669257691, 559553425, 715122734, 20547462, 536253493, 64166682, 494508143, 856419984, 546429105, 401304239, 483683742, 561236488, 925680184, 97940018, 739642396, 215456008, 179172199, 457743168, 454303229, 40214746, 666384953, 570926099, 317619550, 675864306, 585532696, 579862672, 529502563, 740576505, 385691413, 560222402, 93681395, 542474751, 950202120, 878048451, 808731428, 463878722, 831849211, 690138855, 104977773, 644018655, 81525857, 621911831, 722700955, 885090699, 165054401, 214052164, 53318648, 531691184, 780786743, 759193573, 810047374, 385843571, 636137416, 699791663, 918197910, 917669687, 604733759, 128077557, 282018282, 818485977, 404253604, 224796331, 830717554, 736892077, 237971203, 686952929, 832352844, 939385224, 864533054, 558246504, 332102058, 181428997, 170905489, 965822013, 311167709, 424290155, 324675837, 744974423, 923753558, 215435880, 661537145, 98598118, 401814655, 585513086, 500782111, 982056643, 280836371, 777948762, 62053892, 989591926, 558089027, 150308517, 102494307, 761855398, 491719540, 313833799, 787853830, 680999807, 285474868, 823831355, 487419754, 775390507, 774844102, 674678210, 107334650, 651914174, 731087618, 424443194, 779124300, 311082994, 66146814, 574712978, 195648032, 47340149, 740048564, 774440625, 912386616, 106712487, 990929093, 479657623, 579562917, 979925905, 896835207, 588948714, 924994467, 641703137, 103851144, 181744391, 903478053, 173534727, 835429479, 779727670, 518445180, 797801167, 84688954, 271757591, 243561365, 383869750, 12503155, 733977353, 328482802, 220455684, 325796704, 701277435, 225703491, 371908522, 315305513, 943278837, 417213490, 476407708, 204101784, 924105650, 956566869, 187723133, 674794433, 330150559, 145352675, 764384131, 523608159, 522652896, 240079428, 588212077, 826744362, 678228374, 713681319, 323625951, 626134311, 576030436, 172499205, 527153247, 849978068, 538483200, 307960863, 288873086, 708805257, 929145923, 796650440, 755467254, 516490791, 566444533, 179811163, 368151876, 375227087, 962418280, 844732958, 660975984, 864078849, 767284855, 110599079, 414761854, 814506949, 640661821, 753940276, 211161007, 122619936, 855029226, 846373552, 124254601, 976515689, 702139420, 289323689, 800855803, 895860146, 52670232, 236408258, 337587658, 20052478, 107643886, 821932709, 47777713, 424699248, 787285352, 11511992, 435779428, 37640569, 105997829, 555901379, 256164510, 394017575, 138177804, 72280161, 269242166, 705900441, 507045556, 875410672, 600076836, 366396719, 742936519, 826096577, 268159050, 108434341, 498995760, 52964357, 33585445, 163960723, 928550671, 367423573, 24222656, 574303907, 909532602, 579341391, 380140407, 166386321, 230546300, 520910726, 851814753, 454958295, 285031541, 117589106, 93524253, 433786619, 758377794, 119826477, 843242724, 573561994, 185503411, 711162233, 7833516, 897992628, 791063982, 842376379, 286786970, 28894124, 373799675, 731072534, 133306498, 518557782, 207121887, 133229360, 681637585, 454196646, 664997512, 643888558, 473008641, 79626084, 300700803, 191904399, 294943269, 650725754, 678191650, 369444142, 542419740, 995746712, 100493269, 213208444, 395996385, 153421443, 958461258, 45564257, 969273327, 259908894, 810923083, 98927862, 520543653, 195700116, 369892009, 767633128, 902866211, 310665207, 819037660, 8972278, 297942802, 31459453, 95988447, 563361072, 86692933, 81124319, 867978444, 383316498, 487051984, 62934898, 239833867, 552196833, 53955629, 172657428, 606474412, 335557460, 145557222, 644823371, 48857577, 45270372, 725657204, 897239268, 97006795, 99455912, 860385715, 618984039, 672552024, 323090996, 1130878, 971983578, 854323538, 550120983, 493765136, 512540169, 561639076, 510345063, 581009977, 50474279, 935374775, 789252348, 580877485, 254793747, 247650635, 171603249, 542555979, 388928136, 601735654, 990325645, 416595669, 485334449, 213389490, 725840032, 6462992, 408051361, 870301011, 888597507, 609682693, 940986890, 996838573, 449783687, 84467663, 110434429, 324095380, 493339444, 184782661, 316722012, 100792193, 828304402, 756504878, 83966780, 823557645, 546126079, 577093129, 543374338, 849555733, 910871853, 93692770, 563883649, 120131515, 480773657, 824738829, 772663671, 410735421, 356807837, 570974460, 668574348, 327972049, 370234855, 595632569, 681193488, 238224832, 583114028, 768501086, 385460389, 66838389, 646221508, 318319593, 928936405, 417756186, 363878096, 169957149, 469388416, 206113929, 688953663, 998234811, 312908002, 577528725, 863737144, 502698131, 678088765, 572716338, 49506241, 950917746, 985064567, 578032951, 775046937, 653979252, 28855707, 907658180, 103380183, 128592879, 402168262, 830451830, 552320941, 947382580, 405287281, 338298324, 874171231, 598853720, 312738333, 659912057, 83552159, 97149317, 885450385, 608808659, 307443193, 809488793, 334444846, 13540615, 764069004, 989411837, 989992867, 494376208, 185304716, 933025516, 515558383, 959573915, 108841997, 337676042, 894760342, 791444274, 421313607, 337925556, 770226917, 802806322, 362827296, 336345887, 552663403, 766035273, 152846983, 70085777, 525289153, 862330203, 281677461, 512692600, 394750755, 353567578, 252486796, 945051323, 545368762, 617985398, 661085622, 679889865, 203348884, 45884218, 597036160, 740552638, 974927841, 874985946, 941776850, 286236561, 967628725, 600622103, 260412816, 704410679, 368354222, 797512010, 109104239, 549187430, 383658072, 698882757, 981908961, 859206008, 745484739, 57199793, 972706842, 593761504, 942002813, 898482953, 476560035, 475965690, 693678800, 683701966, 333391163, 576355713, 810265280, 272429292, 558257999, 109464290, 179138554, 41466949, 176540931, 189861841, 981234983, 424636343, 124258832, 800922188, 418732796, 380582968, 905507432, 506342546, 808914618, 757178351, 587270257, 760521781, 911011621, 354844574, 124637577, 866964211, 76936541, 995624618, 449681445, 528960601, 296202055, 7345553, 222383668, 185814912, 119281004, 596424749, 518415262, 785769749, 638400725, 391979220, 345960069, 869376035, 807042212, 549559674, 526259562, 795429429, 881280355, 429003935, 995613209, 569463349, 877093595, 419656156, 835479133, 66941963, 259274570, 825432626, 454765865, 819550971, 560993317, 324416025, 602721331, 310489512, 263994145, 154753998, 745457465, 296265200, 605405662, 250004664, 726772805, 989003967, 908444294, 2920588, 582688591, 251601325, 443210894, 675453202, 540306057, 732456118, 395282948, 835086136, 852001992, 83764786, 40667549, 951979223, 808652033, 869454031, 905453644, 325720543, 996372842, 579542889, 619916537, 693010352, 489068235, 927058352, 610405815, 339728522, 235234812, 878570623, 852372411, 781151027, 553607427, 15363387, 717303588, 698589801, 597745275, 789292153, 880270263, 342877813, 688838394, 284787111, 619088937, 215590940, 694355700, 293942294, 383390671, 935896784, 275503424, 196619482, 893285648, 996765693, 522322373, 146765950, 456733515, 551795855, 77949424, 852104082, 111825070, 633615404, 239413760, 233191069, 574380711, 487199587, 900723693, 412684785, 279283213, 370635070, 736314697, 612268011, 622205130, 95438309, 752687355, 211208420, 919014092, 357355447, 919683657, 364605565, 695480980, 989316742, 344130607, 466273897, 842499131, 11997156, 951942443, 99086312, 185365541, 719618851, 223250053, 531648148, 524358945, 647562599, 761151530, 852435953, 700025611, 916514242, 781097730, 18965179, 73094835, 67009942, 868623138, 985274163, 905813142, 766811906, 326396497, 596910842, 378542348, 584198061, 261217027, 32571459, 531749954, 841916611, 480237711, 602064862, 684835787, 538121019, 802965947, 433618520, 589885902, 626474801, 674154450, 741087985, 531854984, 447766527, 866780667, 42336726, 914565176, 822599924, 176281041, 391936955, 433183131, 667990938, 83095976, 36239261, 597891560, 616093281, 5539284, 606304917, 577141687, 674393153, 313714352, 217655441, 561559108, 976206234, 137262940, 646906336, 716624919, 751223980, 618658735, 676580770, 406712107, 13866377, 619258417, 740252049, 78799433, 49195247, 30060546, 573665494, 968860567, 579977314, 411406301, 908988429, 717483905, 30487385, 409674069, 348889880, 536894554, 175243472, 672001272, 279723668, 225105401, 317982189, 61453406, 487580996, 596486437, 414801014, 120156595, 721921242, 485615087, 517512313, 998563768, 385496905, 447209845, 655020908, 489858077, 674990726, 239787862, 347298343, 245618144, 766957722, 869189848, 429135495, 334140348, 710850674, 64730003, 698676127, 961141339, 984087171, 733228099, 594763978, 103019364, 768957906, 418147016, 330657156, 356151898, 224529032, 396734064, 376763479, 527936717, 770677401, 228374783, 126384213, 934714492, 749662421, 708250738, 792394347, 603523181, 785978433, 609748589, 421821890, 19173848, 654740655, 255291638, 499622185, 978968167, 255392627, 488518263, 333984564, 49304163, 825206766, 346315378, 521189558, 688279418, 987150806, 846638527, 464217069, 776784899, 135981291, 105135949, 208289723, 646554056, 332293053, 442736141, 188226460, 215789208, 138174560, 592218878, 653613996, 900037555, 447860103, 717227196, 448725582, 60123482, 769184604, 323146137, 64756097, 782767668, 337782619, 445617802, 81836694, 144328560, 564462110, 685333335, 192038120, 191947512, 453391184, 598445831, 258686250, 987489337, 586958329, 329345726, 931328536, 355611485, 678166421, 342687338, 383412041, 795546264, 865592850, 874327994, 381911315, 694050430, 745616572, 23713184, 660564632, 77866698, 632123422, 639450650, 903327210, 241009825, 679477476, 712084634, 467313823, 544925538, 291840575, 892290046, 963064003, 838258507, 392722392, 59191994, 457691534, 569468050, 77122561, 387385228, 930025991, 235190867, 371859794, 441674240, 968833855, 925115259, 777264344, 645589091, 104939955, 815752445, 150235142, 627460803, 706095376, 177407119, 20126085, 537612254, 733398470, 800830806, 41806905, 332874224, 51656492, 378935836, 251743565, 510654415, 464392944, 544260210, 833754051, 195234792, 299761392, 925978906, 457196399, 503698712, 107707281, 62499352, 415364722, 495618004, 280067077, 61714292, 794471720, 118721274, 791617134, 234264639, 775707710, 613740901, 402118540, 770764445, 531948657, 764812423, 817709672, 775516771, 376800145, 724976445, 428222566, 275687964, 812158735, 800529615, 67720569, 112275127, 93017313, 569091474, 948224004, 73020223, 364028206, 478051176, 261123233, 727577865, 379562349, 721761824, 284636392, 899996212, 475008901, 51094687, 598945856, 163034792, 101270354, 158545962, 704249237, 570341606, 208632339, 215763178, 939746840, 789746151, 347981524, 130810868, 105559948, 10052307, 40379749, 956485618, 356426423, 904734098, 384562504, 35979345, 421313463, 798181183, 672386287, 33975308, 977917089, 106553803, 385127774, 658603049, 387971061, 574294014, 692442714, 888359348, 719902819, 271637867, 875949580, 87146486, 302234534, 84557591, 143298125, 233406675, 91604257, 478245644, 965849536, 909314012, 784622758, 710485916, 720180937, 28865996, 582629024, 191242812, 944239809, 256594268, 881543462, 66373940, 255145095, 203116237, 396237979, 548633450, 583695071, 845576177, 768835118, 96160897, 854420863, 906996306, 517320948, 278109403, 511594676, 599701949, 347104608, 928057125, 123672135, 31464331, 548156883, 520598517, 306098618, 840025741, 799153722, 125594930, 59734421, 30718316, 238449178, 479463034, 190922872, 58678430, 457338028, 385691409, 476574662, 872872802, 225080512, 538137607, 897838317, 1096368, 200768967, 333134346, 973724191, 203031742, 441405017, 524561663, 621331211, 516869709, 184389030, 422546122, 464233037, 136705980, 728662413, 425709861, 543848460, 498969960, 891941, 909292884, 94260512, 983060790, 64985685, 692128896, 901518431, 129847054, 645336449, 494020862, 217111084, 739727651, 380346460, 661926068, 805264711, 250873211, 80296717, 273596715, 463941095, 596253695, 377498853, 374529413, 236192566, 448450710, 458304190, 445586817, 934671396, 951316172, 548906586, 48612385, 494798144, 690156394, 858024161, 778858270, 660386928, 65816071, 366584952, 421337068, 439222200, 204512149, 580575632, 72295461, 562336296, 171532892, 881913285, 129273202, 542090702, 984487562, 512134183, 361973477, 858383931, 355291940, 598286070, 464495931, 270923827, 392311474, 811923288, 773431731, 551966809, 694703171, 470623217, 36222177, 912363586, 721144439, 863705054, 895346502, 360101391, 1057773, 575551143, 813757489, 706957740, 596941446, 575159600, 518894511, 765191701, 739083127, 352162624, 593879374, 280186941, 731538545, 837932608, 209341449, 963450938, 578636770, 294408018, 108209852, 945901723, 269907064, 879576225, 151916759, 913786088, 952755826, 596039178, 994857167, 725261826, 36947395, 254329752, 854505153, 192186150, 954581668, 576104495, 608243712, 601501019, 392219914, 473516887, 50140872, 709237172, 798846123, 305902072, 617175670, 246496903, 889324875, 83607783, 421443076, 442176836, 912117055, 775505045, 689776441, 44730679, 39233036, 514710124, 569352791, 504798947, 760396259, 868129724, 674686656, 504417300, 796832350, 808558254, 735009920, 753806670, 557188081, 994307511, 23191543, 265882485, 924350299, 806633003, 712490242, 769257315, 956159, 669864698, 949392879, 236238962, 245569993, 400163315, 388532812, 577888101, 829222178, 203324357, 305805743, 385401783, 993477192, 891434964, 827551902, 407493111, 925487433, 482724964, 716187107, 152801963, 545689470, 286012981, 978430321, 16081423, 30642163, 183667106, 787139011, 665215469, 198592326, 498814191, 991941883, 406301543, 765569060, 436089039, 747939681, 647402864, 104276176, 842308704, 756533946, 37176631, 850632460, 134480337, 909465770, 173660234, 74405402, 919140794, 392847545, 285164145, 914677522, 965238724, 420212580, 98840815, 140777567, 815689564, 888734912, 833014795, 491716891, 125392756, 607040999, 90588475, 121140212, 635219047, 312245967, 717883664, 185966426, 666195054, 14080036, 872948143, 705531232, 369122767, 868971826, 309278071, 475433933, 724133766, 164548688, 816199014, 176875097, 504746864, 518670801, 942612381, 169412591, 377165881, 856203854, 426555451, 186590900, 166310227, 537728486, 147583599, 524028789, 682046360, 944341933, 100803683, 388030076, 817072505, 854048073, 244827002, 124655865, 884032618, 777108077, 857548484, 966689005, 599074938, 953398496, 487915955, 737029682, 382288226, 999641713, 24479245, 319214931, 658969325, 321149409, 482207657, 855578624, 382738297, 152084148, 19030066, 718750031, 395013854, 813692538, 225278515, 753356335, 625314949, 10319456, 905975164, 230514397, 737558968, 142554687, 210791436, 762434637, 53139455, 744208977, 691429168, 613877584, 821442870, 864055646, 165922588, 538949985, 991324442, 482026728, 450337745, 229019450, 910098049, 267783092, 646311994, 148686709, 481769535, 427711825, 351537411, 361963638, 76367774, 561727633, 823939092, 227835647, 219570532, 154377598, 495577211, 941387373, 484088613, 153483587, 985464731, 649427575, 95217182, 825311755, 974559273, 332217377, 691775307, 713787960, 807643916, 601437997, 307189733, 416870973, 505366341, 964015118, 312477955, 150779455, 327779974, 612366315, 312802901, 897113267, 150021216, 863527594, 814008839, 96206996, 551437073, 908795568, 827087052, 565179602, 394682559, 989272027, 830830010, 778158965, 519323043, 423096842, 62728625, 542381516, 885963135, 849547406, 229136652, 80411291, 782355719, 486454622, 737646881, 468022605, 295615214, 283560683, 770553835, 642961277, 885635970, 92120198, 235210300, 198996690, 639808751, 488727741, 915804120, 765761331, 548415038, 269419593, 506733660, 712537102, 965867619, 547437437, 239738778, 24894528, 413013737, 413204118, 821439529, 310151141, 478066513, 354170399, 458009425, 589551259, 411229704, 488435910, 386217589, 703020251, 634337427, 409791403, 857652589, 823087444, 10792859, 463459162, 748195775, 924891440, 356567825, 173987539, 162069100, 555479034, 34299114, 494138058, 724171555, 751968496, 152756761, 725754099, 486412795, 978065974, 382914491, 652867614, 912106190, 644373146, 821119819, 401186403, 780239272, 703259082, 592129930, 839956086, 392517048, 302862578, 4202958, 556354926, 172331154, 675063187, 617894432, 305707039, 774371595, 366194315, 160964317, 944104077, 522814859, 345784715, 316498835, 840926624, 419799563, 200863888, 750027352, 579984398, 992818181, 105099840, 172760698, 288353491, 955534366, 961616277, 628029535, 779977522, 259273089, 302383727, 262292676, 469187699, 929106117, 301416520, 331216857, 263041463, 889593151, 663782352, 32703198, 607645779, 482073648, 949454102, 319437571, 760121969, 683532612, 764813576, 170396156, 840453955, 758879192, 382128093, 650812380, 443403703, 222043830, 701784268, 96959012, 380856183, 645482181, 879070201, 984212185, 987547942, 774950044, 744571855, 254067752, 626742781, 888725629, 992934995, 703628848, 800195717, 118063612, 61323368, 462780462, 79832285, 172941180, 770438425, 821383642, 504708824, 45866009, 139945967, 648178858, 774944009, 2290854, 340145240, 496835341, 251311895, 4014940, 309682075, 800264397, 311941786, 234759805, 292156367, 214581976, 608156970, 242092270, 462537137, 370547655, 47281654, 762044681, 45318250, 385415010, 31550598, 489056461, 942892597, 829627325, 41459462, 800223916, 645563231, 952797762, 253844153, 710725627, 234445175, 779468191, 612540609, 339936418, 886274682, 240578707, 607810886, 715797778, 366767916, 979914873, 384483358, 583381405, 871574190, 704787475, 240543561, 905094240, 580734156, 541428837, 806061442, 839176985, 630501646, 178266037, 236255770, 185563239, 611098694, 570594373, 71862607, 210015956, 950884496, 829796502, 543703918, 286896994, 633677691, 886551291, 979404013, 738728258, 253794042, 663212785, 559174449, 448424582, 517090892, 888834207, 574254484, 961863299, 323295496, 622936573, 46472058, 78287807, 875107966, 638163377, 346684215, 9263104, 990165992, 902284234, 274481740, 805695809, 672458663, 908783286, 65531672, 371304841, 161792504, 434364980, 900440081, 198855761, 373248848, 373189256, 708531671, 910812985, 196695467, 543097289, 318239319, 236489539, 403037290, 587760445, 215544422, 934976222, 443128086, 123995112, 343201889, 504000477, 637841283, 551200698, 8605913, 661152182, 414745296, 305983792, 747008903, 231495028, 43813556, 864259207, 906999308, 484276672, 262011104, 935806150, 398347619, 749145212, 238575016, 236182071, 496052592, 2918395, 260098390, 285763408, 345047467, 567945432, 285877496, 864165175, 452898767, 5472849, 32750441, 292911209, 132761940, 999180238, 76183694, 653606882, 913651064, 487942053, 181642367, 589656211, 74525157, 78893726, 419882564, 263985937, 328959797, 2801214, 58238074, 39594491, 274488803, 518930514, 36730028, 787140732, 536430970, 639005662, 155288663, 632162451, 729349495, 875644555, 375688525, 674221558, 904964211, 533957836, 935798560, 698532664, 624025322, 703240082, 181145974, 105270235, 485374538, 122103499, 166419326, 816440940, 372592950, 912678253, 375303042, 633313274, 875613607, 625266161, 644383146, 907260653, 630509859, 3664695, 15699693, 46927008, 160508324, 229490826, 509622211, 732768383, 80563664, 165670370, 787259783, 961702618, 3508396, 662581834, 983578185, 22454607, 957011870, 195051467, 703248341, 136180554, 143672365, 179935572, 194313556, 386575814, 539455002, 802371123, 551225485, 180646044, 2177733, 858205206, 805957222, 743872156, 115686623, 760536714, 273499229, 302794538, 943051520, 559934214, 234118829, 745304381, 703007443, 495552792, 595729163, 880004630, 444028443, 319238243, 736047233, 941899102, 735156551, 377419897, 281974908, 966269672, 283449197, 839911740, 5410528, 577639038, 684502268, 896760679, 264506405, 695278823, 888036793, 679552914, 960500501, 276878567, 451645825, 885172410, 749714322, 467023469, 547222190, 641309850, 941535577, 789917136, 33850681, 185017280, 636861250, 506973336, 979911627, 669689041, 548482880, 52911909, 15056346, 196242148, 497034770, 745463938, 83166201, 835827469, 55863867, 195282951, 46378517, 352105645, 562135566, 698594760, 988722550, 973020080, 168018070, 822949041, 894176898, 947057705, 256683109, 305580341, 963279900, 948349906, 320234188, 255821449, 318018386, 644687810, 110365825, 402496030, 333519274, 129364220, 11092815, 723257320, 495592184, 631309027, 880009188, 849935547, 464092293, 440137835, 229583781, 325272160, 252460281, 7925450, 286615879, 548063519, 681698591, 370939767, 787090109, 373501847, 784901333, 976655400, 969037023, 338817382, 557984004, 442955928, 224523477, 308233289, 385031063, 71538400, 751797223, 689076423, 355424952, 56645481, 16824821, 213266757, 974129263, 772637772, 638101616, 383289282, 690997561, 331296571, 400654523, 313556603, 76082353, 302591278, 564232560, 89510929, 491886698, 444877553, 157395646, 419934865, 484474219, 161649464, 281093131, 742786218, 524618137, 94122679, 852629817, 981980698, 26210962, 704089464, 587348353, 208623213, 151948789, 652687506, 743350743, 642809474, 697639577, 268715581, 223013805, 966616324, 165457371, 627085482, 688674127, 315330012, 611127023, 124560589, 646856942, 916705789, 926165619, 484359471, 947748845, 794631145, 111514400, 706294725, 217852618, 419051075, 493788174, 746392430, 241477982, 244284285, 412131589, 405906463, 161229615, 580308167, 983749128, 971703368, 901982613, 577986259, 623547041, 528053240, 307472792, 593443833, 320205639, 104252841, 625999972, 713641035, 145675459, 456392610, 392343285, 912837682, 710155571, 254531757, 257380464, 227833241, 874421715, 106425676, 892365521, 399628090, 454123833, 974115307, 361042589, 828960161, 13430404, 340220601, 584469476, 625275881, 663798829, 39170935, 718249402, 733511936, 18312224, 769849964, 182334389, 843432929, 998712293, 818439373, 139670982, 311856588, 585214175, 703946616, 708719769, 51518287, 202565097, 727864816, 351823905, 197407686, 305328983, 36991302, 712144578, 564967582, 386061421, 32379911, 404875066, 440537546, 208533688, 600445948, 658577900, 553932626, 751286527, 98360460, 521741871, 666432125, 239988898, 582319553, 556217651, 680458107, 48681980, 751208022, 113181054, 930278266, 142706301, 568930612, 558929952, 713586163, 255194722, 869472682, 452475170, 38394135, 978464772, 325897535, 641851056, 721468079, 756682349, 316689518, 733177541, 48039703, 835282705, 349026805, 921752074, 795032872, 950852447, 222812251, 83669459, 382256160, 236538630, 698285846, 426127580, 270837526, 701335351, 128538599, 268271576, 26653481, 739145792, 501421001, 575880540, 588656604, 292285650, 100809162, 516520849, 734841734, 620221489, 578229682, 1886363, 868418521, 229529468, 674556119, 487368543, 274908119, 565317382, 503490895, 498763871, 434118058, 202048033, 550274104, 115773412, 360794999, 573571486, 935446615, 830590025, 896045066, 695247867, 238199062, 262066940, 750665452, 833909504, 587559778, 163030207, 186329379, 868715944, 789451672, 448541550, 230624480, 963853823, 2883947, 513375703, 55707019, 366628270, 921499379, 802365401, 635490551, 807643846, 216166570, 987978292, 595407820, 118232324, 954152806, 89799231, 461173284, 693154341, 441026061, 542000805, 417419489, 925798481, 371773309, 241341162, 930871954, 616652399, 247440302, 378428018, 60539432, 210658390, 53017839, 629073753, 985364126, 970947909, 132100442, 819577283, 391218636, 47199857, 554195841, 157149007, 198581106, 567185780, 269960119, 379297520, 901221768, 279635365, 152152232, 702782438, 314760288, 669308942, 98808748, 557592456, 37997652, 911356891, 321844133, 927186779, 754187692, 826990335, 842530531, 307881668, 864903165, 745566228, 350033964, 37176350, 120937580, 504800822, 970914555, 468064942, 884894754, 827432623, 655268842, 824149707, 267137233, 376444107, 697669367, 497023341, 265964585, 274059656, 736142643, 39542051, 773066275, 601962983, 886489539, 464975908, 793927728, 358282689, 789163369, 687324285, 313744897, 57945227, 378476031, 989054139, 406230184, 132193368, 108120160, 162681552, 743575282, 869639420, 251197205, 640098922, 222981173, 713239299, 18329730, 861268598, 628377437, 978738018, 931013793, 226653929, 133213637, 614559577, 741040391, 828242595, 590112216, 230744959, 942282188, 16458030, 887832589, 770572104, 643716456, 507062062, 366395368, 177229063, 714555951, 280963750, 213312227, 769796387, 757334198, 955171085, 378260320, 727721109, 479198299, 720944930, 796909874, 783746303, 191248554, 343524679, 45961365, 423649900, 385409730, 771587366, 741333307, 23383200, 369866197, 965530449, 6180350, 904918337, 831387764, 118478783, 978099999, 956299431, 391384763, 412018417, 64414726, 779761465, 997691195, 735902755, 830762283, 98320621, 225795420, 913446888, 67698858, 762525780, 926177590, 715107954, 865225988, 144532007, 715735358, 429350917, 245767548, 494038144, 545271365, 298845170, 211391420, 758048017, 456376700, 705763254, 808926765, 224449051, 185244447, 649976475, 108640919, 185789919, 878400809, 764309454, 431918308, 977015446, 64999447, 995001287, 894858066, 510658032, 752139930, 451684991, 213749847, 555065171, 862859318, 241716797, 328905236, 397905208, 326501072, 858066532, 720888376, 591630177, 332871064, 493837579, 238523462, 315481760, 447580571, 308574787, 614195816, 379323307, 973614001, 644359838, 416913285, 665750735, 359860876, 57199542, 915647249, 595725390, 109639037, 745605518, 58716967, 542603627, 307988290, 677655425, 7792142, 33831841, 543312931, 292129146, 707967456, 644718710, 205511192, 763410504, 556755574, 957485705, 489288045, 553785613, 136958546, 940600193, 289276966, 71268704, 383329987, 404350687, 261848214, 514544828, 296481298, 651338752, 57817451, 311183765, 116832483, 739571022, 174991927, 240862125, 241667508, 665368089, 595301314, 799953201, 875687855, 143889597, 375140184, 380317752, 689116055, 955823867, 546702571, 255295869, 376718417, 23813433, 331443797, 328231276, 655193535, 874600009, 164072750, 355916405, 527279188, 267177353, 532445434, 368447684, 564608820, 580407020, 972805360, 205049401, 707340332, 872592723, 410856949, 45248952, 562122189, 501426967, 98884309, 872213852, 70760075, 856796943, 38925597, 141248556, 980789836, 345363490, 232037688, 388627111, 795662592, 529655799, 97223928, 907341273, 799069028, 540305609, 166026148, 72155212, 863518487, 984141170, 485215135, 858492811, 225707349, 34929090, 465589469, 402531366, 880555894, 445820754, 313118787, 765120794, 535619358, 968515105, 248490934, 561652734, 726796323, 298566871, 595550978, 289455360, 108896537, 338101408, 165160348, 330080735, 47415330, 784799001, 595243863, 207513278, 495981097, 88021848, 314283019, 804137627, 562605730, 776712272, 181405166, 632256513, 120833930, 590357072, 820985686, 268354169, 395166956, 49645517, 208638132, 214271934, 855229675, 228830826, 743368693, 247132575, 704081398, 562465429, 845937946, 410978599, 971062880, 510110685, 98205372, 462903466, 407285528, 584542020, 414531529, 318178836, 358579919, 929228046, 896276149, 64958837, 982803128, 996906056, 170928101, 417565216, 11404472, 660032101, 832912325, 130047737, 974522250, 706302133, 323342718, 474326956, 258803911, 91638016, 292544724, 954898686, 95963228, 422404987, 375219399, 785495108, 375221197, 754869574, 105172765, 635963052, 357588926, 209590306, 595602035, 170488820, 113594018, 151715544, 386151307, 120657271, 258288852, 192284020, 433201047, 322603664, 979920964, 193581294, 257456800, 931770146, 392765141, 157670266, 939958365, 350382357, 987259651, 405712574, 427642126, 636547836, 879382788, 697152615, 128634252, 437120957, 274374261, 339486994, 964997494, 733828623, 969091245, 92695216, 193571359, 1532690, 821798443, 636329728, 692774353, 976234995, 370233917, 943698691, 743487430, 528178055, 187812710, 507821419, 935014076, 605690001, 177125102, 298838724, 32052365, 833119048, 766145479, 508073842, 97028898, 842212037, 175815045, 544196273, 152967360, 442493635, 528143676, 221288243, 945079578, 431813259, 868796240, 64459937, 916512574, 939042485, 127532820, 714451101, 386839469, 552479123, 248987036, 337025316, 867697291, 847904381, 183940303, 49207826, 503372852, 319315531, 975686991, 703652120, 572419564, 884986310, 387566551, 231708921, 799099056, 402199547, 616568683, 588999110, 417483702, 807267918, 141925927, 262686484, 375698299, 323208772, 577354654, 542470092, 909922382, 376802368, 714502293, 386258217, 481459634, 927626285, 107678598, 554157798, 7934308, 848212950, 80996129, 392899332, 759239073, 582900183, 287054859, 802305193, 529155551, 442020888, 465099659, 186336261, 44954624, 694044427, 127806856, 640409227, 803728220, 946471200, 602198919, 450685535, 581564574, 482852732, 254064594, 373957508, 986117530, 442622365, 554471361, 359173776, 841254633, 195738361, 75886032, 788396695, 20428037, 93651515, 72358372, 136464916, 651723632, 563127125, 25490727, 173599858, 997501153, 987166235, 613192305, 435826972, 482466771, 205116129, 838999426, 200607887, 614489182, 264713778, 783627647, 990062426, 130910673, 607718694, 610377309, 573971785, 44762487, 835681954, 901110225, 810635240, 907611164, 18990065, 891266584, 443709899, 856361936, 333544319, 449821086, 391819344, 492571820, 569201419, 43290455, 715139587, 977360249, 911158090, 208880862, 120246831, 325012151, 933168271, 59056896, 452251614, 42677113, 329291183, 507672703, 828848904, 805074800, 927800487, 112119792, 671013909, 280205230, 304046225, 233620113, 82697693, 603202922, 431708257, 924598392, 771690178, 162826872, 556646653, 754736670, 691737621, 893738106, 828481698, 847417499, 711097283, 335748196, 648357347, 253025199, 401170055, 175724403, 176989383, 329081393, 821902026, 668264335, 931168239, 31404023, 264373266, 209633728, 281695773, 900023297, 304588401, 112910078, 535724287, 512675127, 211323872, 424940210, 940956705, 852411436, 720955844, 276896509, 775331342, 843433286, 93024939, 126634849, 237184412, 942062873, 791406974, 124699996, 579130417, 725044404, 366851505, 528133958, 337290560, 932310854, 734525480, 223812483, 834958217, 674476081, 818888091, 63761621, 254695498, 805113726, 840952636, 570419319, 487364464, 726128723, 796227572, 794725038, 950841452, 394301434, 791909502, 544663440, 399423788, 854629610, 723654707, 106580963, 952996021, 783544010, 533572122, 323567763, 219718785, 144002928, 348711, 268688938, 811586929, 599960972, 225211524, 527867956, 336262974, 92080553, 737311714, 196860926, 598253403, 190309270, 565120269, 465452917, 731607347, 272736106, 503430147, 212730386, 904925581, 720277894, 260795263, 210596187, 694790634, 624776087, 671663944, 847511013, 683925203, 636072522, 702102668, 447575011, 851687143, 883015212, 439516260, 16750807, 485427525, 888327453, 221465665, 909695686, 780635295, 932254232, 203119849, 320378411, 668426417, 763693420, 471444790, 241684027, 982953794, 960328452, 997520736, 913929868, 924579815, 777271518, 205492851, 221105073, 417782751, 117922847, 446445473, 501688424, 569325831, 353735051, 100947722, 552928046, 550517992, 409502063, 956136319, 35561079, 319349605, 285689093, 340466719, 699578802, 316307848, 485863505, 884645562, 228275908, 892506654, 31171149, 806590153, 796510306, 200902063, 738864517, 226777850, 111505909, 387592741, 865027458, 513133876, 910770118, 692239882, 659768857, 407995501, 132054630, 414570827, 767478608, 767363709, 237939981, 167125796, 457778291, 436383327, 247025420, 427653923, 687809316, 542568515, 258138862, 429591349, 831078643, 691563804, 6076712, 32832048, 651801971, 832436927, 383723073, 516565758, 663885240, 634741769, 156052531, 386969098, 896948673, 62889360, 806506987, 989947807, 959873038, 561568856, 907200468, 336886056, 399053830, 293312423, 883103631, 269935595, 847651833, 79170664, 547333795, 376080999, 593947268, 187421151, 264310614, 657721321, 621107862, 493669992, 764718750, 232810153, 752127194, 342901750, 357453511, 698109784, 859753082, 489914655, 955400174, 519959228, 246128707, 402468393, 685729119, 69856467, 367165748, 138369385, 562354182, 262904273, 10199255, 477488697, 132021531, 739029924, 779281102, 63612578, 626669690, 897048978, 419058738, 601638816, 744011098, 576599564, 812800558, 561703165, 39063056, 479380867, 929458705, 451396871, 307851439, 13291917, 491960891, 720528393, 408003208, 948856978, 216061878, 45363753, 431877031, 631572742, 486743468, 754614879, 938257294, 263274600, 103073283, 624897259, 634425191, 772325148, 827981337, 239509894, 408247025, 451882216, 474576441, 35104984, 293481671, 932372206, 416207244, 423187228, 886949683, 424331940, 448827726, 338304841, 675688993, 682176060, 474347768, 874258027, 680756980, 872130223, 109959412, 229729139, 354010016, 205799359, 438538723, 110254676, 371094555, 291120096, 450255246, 641644943, 850492225, 298814161, 988770042, 304274002, 716843243, 866866936, 974204375, 806858506, 826482270, 794173391, 878088530, 856980379, 908736049, 487913784, 142531387, 358480247, 727393711, 609738411, 426290335, 112548255, 211014775, 209912135, 41133458, 35264820, 743422796, 164235339, 13758379, 953981087, 196733812, 701044552, 712119106, 871012964, 380621390, 426359759, 218396581, 696874394, 704436303, 441930125, 222108652, 317952760, 961443205, 630423306, 258285433, 562451173, 982711292, 810991713, 683327677, 493663435, 314871021, 716089855, 758511951, 406227696, 67761985, 651785462, 185683564, 263942043, 266487354, 877115452, 279581012, 564191654, 188659276, 565082849, 412460785, 644728891, 155611384, 947081884, 126227509, 300457549, 909107582, 734620264, 516285455, 475335700, 516547497, 22021010, 371484309, 13475656, 271775417, 240483396, 493507914, 251423575, 342383990, 495373032, 5646399, 559212030, 430495522, 746456282, 354419228, 308384321, 350513233, 537447859, 500997406, 112435378, 667185557, 358906711, 900407852, 325662938, 203365486, 287355104, 370227382, 948358472, 987413314, 632990611, 657630885, 985825811, 629071056, 392255905, 469519912, 152864550, 116324934, 896431336, 691886714, 220560258, 425470610, 126003363, 84407098, 192485033, 932678841, 225344184, 93908835, 921156465, 124830866, 997347540, 761390909, 182793301, 454895537, 551960614, 893629668, 763497900, 535489631, 901662949, 954715266, 655343788, 677661529, 695166119, 560716517, 603966178, 145107468, 621524376, 814733835, 621754418, 253617223, 326101572, 315225228, 682773281, 160514706, 363140981, 374193828, 222509896, 750780404, 673939334, 44143854, 94775450, 600235672, 68006694, 595204676, 543329678, 81916148, 500736663, 129304543, 59061803, 499771112, 184890948, 190205673, 386598581, 295062338, 420816574, 37465154, 663297757, 464682612, 424405978, 758902354, 474916087, 933979147, 818096702, 225532561, 194927230, 314379252, 348071739, 87576268, 404194126, 267546512, 414736173, 617817923, 523619556, 478369149, 839782358, 359701547, 290668765, 703427987, 355012053, 859392856, 687592704, 176163227, 966835656, 612730629, 850873501, 190900846, 1891782, 524348898, 843974712, 211926064, 711720847, 633514798, 651269086, 410030874, 561395294, 146011348, 942009467, 416449875, 442660810, 181053991, 275742831, 652219209, 587357577, 150583521, 175388851, 345735968, 870165551, 389517571, 417320093, 646833144, 39564564, 769306564, 847798749, 970327769, 148952539, 609517647, 78626713, 602969360, 912406833, 35184725, 407763477, 669360706, 513627859, 509484005, 814053844, 638591226, 239576871, 464961419, 859658791, 651839026, 871909042, 703465773, 830668544, 625480185, 54495912, 788286887, 286583073, 976295257, 225449454, 948681774, 443799554, 408335956, 623171282, 415363920, 467324352, 637361797, 41845785, 118858588, 905230900, 564201581, 478525902, 642649869, 809525144, 243304164, 370453202, 646373885, 791607163, 353127986, 87017951, 734063559, 411032701, 510185216, 60574322, 785080230, 927780460, 754693760, 272295819, 723996102, 398311808, 989380209, 600664571, 88397500, 625587845, 757337620, 600716059, 599453541, 48968802, 717154486, 160413947, 891968562, 233147788, 397846850, 851156951, 566889001, 100689184, 936478328, 797168865, 112635655, 988527615, 899075102, 794410288, 946657162, 550117697, 16711288, 745502969, 54751684, 208385516, 496782678, 6378482, 127938444, 803582092, 150282643, 472657363, 733417184, 759187749, 771343629, 453959644, 430864872, 882857389, 61117358, 187677199, 196620473, 924991771, 49630299, 79319450, 58320803, 811931935, 225293095, 961932961, 993014260, 146275865, 211750788, 141385755, 770732726, 65941134, 706252289, 43959019, 160326808, 763935726, 537542646, 455346968, 461727655, 184611323, 527313282, 396804095, 738275751, 847313622, 948534327, 470864984, 25156089, 81392770, 819635414, 433728046, 144133770, 920310188, 738824642, 866233095, 921653029, 901746821, 976566935, 563071924, 120697329, 583292608, 933985142, 142641853, 707653767, 489574686, 915653857, 543162187, 617929391, 839854517, 973096839, 901497380, 741758313, 477510583, 915075561, 997372955, 508054407, 841129465, 630539801, 314899931, 561387300, 265990603, 14274272, 157883278, 364268551, 261234686, 394755980, 541905605, 389962084, 742985486, 355539146, 636431347, 673422000, 192057606, 985241812, 831606645, 323375306, 268007203, 905243081, 52617681, 573858557, 752330170, 657868708, 293933037, 223594690, 490177861, 612473742, 148821926, 58392760, 825680570, 175510101, 519072272, 904529413, 523252638, 622737136, 33796199, 981217879, 331716646, 370274270, 125522874, 297759193, 900818297, 188037002, 431699080, 843119457, 541810826, 270548794, 973680675, 96626912, 56282126, 381033187, 725758999, 511556944, 444079168, 778786714, 497731571, 666381886, 115999073, 687550808, 425091007, 38990048, 459250090, 113048245, 305012308, 470004084, 544426322, 521937044, 626223896, 339654645, 35654721, 669625512, 679733418, 512857064, 599635822, 774362890, 747016601, 939787033, 304356189, 61159262, 205499617, 42001673, 360718450, 719619452, 281089549, 911484458, 533004272, 72386455, 178136088, 642393312, 681808155, 723069963, 887977296, 163133222, 380089394, 148275063, 877008944, 824766232, 714021273, 516302020, 793928247, 481327365, 334567959, 423445627, 806623044, 953655596, 14065101, 371252093, 386139764, 898270893, 517755493, 249149395, 655755150, 519952720, 491777117, 796647443, 404478568, 851005565, 349242215, 973522156, 699618675, 164158207, 134038287, 686754625, 562714158, 79731415, 460347518, 534499456, 743767373, 774702764, 295045999, 455165743, 99120201, 344979336, 944351340, 121307847, 700239121, 371106627, 802510563, 850749961, 214288743, 160938373, 861653320, 451705561, 947571976, 220909594, 425801429, 747743094, 72356034, 265926179, 19199909, 275908414, 749001187, 967114232, 661614699, 334248838, 600158563, 326656177, 967108898, 344242533, 289540119, 902119423, 288790031, 726253927, 783854038, 397864115, 334226459, 611851006, 410117386, 73297332, 652302941, 978439712, 899070495, 143873593, 916563119, 912036141, 551666623, 23809432, 49873486, 322957604, 447387940, 968328567, 693172442, 710939025, 59387796, 406074838, 574527647, 649444778, 967610412, 387340105, 265175917, 558285840, 358861257, 689552937, 635803044, 348262385, 180328739, 946917215, 786487668, 582308299, 633229103, 214061194, 155209472, 381314344, 673018610, 967006291, 963991669, 759351162, 663025199, 672682769, 527509032, 603306862, 159648545, 404879826, 815401195, 698039461, 439353284, 667496857, 59980597, 934601845, 647355926, 194635046, 520329193, 234858707, 696394106, 447099840, 236084788, 741940097, 66071739, 333905813, 311346847, 644537586, 497092124, 347530796, 546018082, 798852350, 573216603, 726528025, 176023366, 404222370, 602390702, 819439551, 912128174, 266327760, 845241323, 591440729, 452414445, 729829912, 265636544, 966213428, 675912053, 44336523, 764380926, 634801842, 321842824, 25799519, 732972498, 463836137, 802604609, 645393705, 622224703, 50769918, 978921986, 952469435, 144685679, 639931826, 363846651, 238431255, 251477467, 800311621, 354068641, 563795406, 766744495, 786539066, 759229923, 862359618, 937907376, 846531304, 281321793, 158533597, 641852703, 956115567, 180758139, 370286763, 641534736, 330244002, 364769202, 189250198, 344523794, 50425702, 888177386, 4144815, 39263721, 767176840, 65062159, 448424742, 816460173, 371906214, 672564225, 491452664, 583906590, 742790472, 317756115, 959378306, 687183102, 93799278, 712677415, 47230610, 870730357, 641841558, 985181744, 207766310, 473377581, 953867832, 873534481, 424054657, 218357420, 489960398, 46376143, 656381227, 491006218, 940258407, 882218991, 639613783, 806211473, 11272344, 511214862, 719160497, 122553512, 343684464, 229783308, 245131914, 922431825, 456315985, 931899094, 987633945, 21981495, 296999037, 226376658, 574518781, 678681355, 949456264, 111447694, 37810589, 773801808, 371488005, 663554740, 198082193, 201913472, 853177769, 526291953, 471622984, 568351086, 114604701, 990067011, 957948439, 185602036, 285814266, 380477347, 450486296, 357716969, 770704096, 527524998, 272263555, 192386529, 668941030, 582376850, 807533510, 232698175, 208225109, 528093328, 380327528, 875957400, 856721425, 567320092, 140167172, 111312331, 882274370, 325844268, 417562397, 691817927, 589295667, 704660467, 692990959, 847093212, 382085392, 133209757, 974308956, 515651534, 53452380, 782181343, 651130190, 481400685, 457202460, 57774375, 200795668, 205520849, 401002981, 135119115, 423036096, 392371803, 745604673, 178348777, 965654400, 471250961, 705076072, 226545755, 131675127, 89118592, 561530346, 111420977, 788480146, 360600984, 880526132, 116720867, 924356194, 852977914, 520401761, 29987231, 654613487, 85333479, 689407513, 848048785, 495212763, 47112295, 764244987, 800364611, 204057160, 715329745, 981606051, 708777512, 961194380, 781562061, 840221360, 349290197, 893482026, 278177817, 511770756, 239578576, 460817467, 295023894, 90130210, 734325785, 738261950, 484410745, 591139251, 207429271, 529137997, 33379445, 696281680, 834729647, 393927454, 366366315, 417485863, 454455727, 926928521, 337967342, 733596178, 646060709, 121941044, 891438943, 162957710, 769451022, 21714015, 463324960, 778643247, 694601077, 517434273, 753491974, 440368241, 291097727, 754324982, 932644380, 945720753, 504573513, 413019921, 490841710, 721854867, 857985960, 439408572, 706554284, 56874718, 784163326, 709811136, 502901492, 322414340, 589037580, 220077169, 770378102, 339387201, 151258623, 489906356, 674983662, 53785518, 687724056, 139509225, 694509727, 573036610, 878352757, 745423666, 484011725, 543265643, 639858284, 973594854, 950219043, 649109976, 505333301, 303045276, 369846903, 490593262, 338808024, 606841703, 576000177, 507407788, 863577833, 594235814, 883340541, 397357863, 665045157, 679057623, 967068678, 153176947, 851949599, 674683131, 70063117, 633892267, 182222343, 380971579, 700754812, 595637943, 643172489, 618581184, 952496533, 24414398, 329468785, 180998970, 217466443, 620173167, 541787068, 972237781, 358904055, 527053260, 999067793, 503568617, 998601816, 763802925, 386345379, 578974443, 933429597, 936742647, 79354351, 281460937, 769146704, 875531807, 309444046, 420210685, 761813642, 787037967, 79337549, 420222635, 827083818, 645862952, 529851802, 916278843, 423443727, 864250716, 241841336, 361692275, 499590268, 547507923, 980789910, 218142558, 506880171, 638398651, 956614798, 317298138, 264511288, 624520946, 355301476, 427990870, 213492919, 407596281, 588052435, 511812170, 733017120, 731074092, 612809753, 163406548, 287945191, 914645414, 233439113, 733240348, 317366568, 690817672, 434229962, 784851770, 488158715, 329812462, 816034479, 235464015, 480986860, 746730495, 326587445, 407587130, 868241354, 999681351, 59638102, 195814973, 634363797, 574665349, 166091056, 825221483, 78310006, 183126816, 476745249, 245740804, 139233000, 522295560, 711498495, 333215572, 341769974, 438648640, 373376152, 412650513, 756060417, 857613200, 846701223, 525834583, 461505844, 595856986, 801443328, 309951105, 434397408, 623691225, 349592507, 566475983, 795818425, 402118701, 5657466, 67644717, 158688772, 22887247, 508006197, 528712867, 224941202, 719170196, 271700379, 622258884, 363608887, 525161922, 852193174, 668876605, 902115121, 805295698, 55310320, 729060417, 788740098, 502207389, 750893446, 856809665, 706138306, 662478671, 306177051, 640975971, 249335681, 854040659, 829705226, 808892414, 922183589, 295534604, 619568649, 854450401, 42383252, 94691042, 800708868, 64452472, 453991593, 698668561, 445605713, 952640987, 331161356, 911367067, 384077272, 618919896, 160460273, 466688497, 414351918, 277457416, 691655079, 19749544, 514923249, 853022799, 28421378, 743744211, 216746387, 530455579, 604647888, 968230516, 812059746, 280398541, 450326125, 997515625, 38187680, 860075686, 798490237, 573855826, 909004489, 795965017, 92672900, 748059561, 809609676, 48689739, 672524606, 564119980, 108453996, 418006412, 450724276, 40330154, 436501271, 389000967, 373478579, 88841076, 755739607, 819459288, 902913483, 113373395, 662459604, 915574506, 75507248, 292384579, 283376087, 757651446, 753681131, 618874345, 486788659, 39565227, 88489282, 897496655, 790011166, 163342846, 136085384, 703279666, 203958469, 447381723, 492508228, 57926236, 821403679, 691171615, 616700588, 968656521, 982016538, 376723780, 847043599, 664005239, 192635347, 52776465, 247493059, 665903753, 742931430, 943059412, 670712571, 13598144, 8217306, 227917131, 65604644, 31374687, 881574637, 285048735, 974393217, 343714759, 775028978, 527276896, 193962226, 256040320, 199187634, 829899111, 475820546, 862592353, 301449265, 833950401, 199710728, 746116482, 446113244, 162017984, 129615795, 933751984, 11710373, 62765247, 268679094, 99536874, 795865484, 136888643, 947914449, 972727350, 860211856, 552368746, 768734683, 729557231, 72064449, 375163558, 147095859, 487777602, 881870701, 125409092, 867021157, 280637408, 253432639, 459285908, 745774645, 39716963, 535710978, 7209648, 289269703, 558376831, 16106495, 272494196, 944920830, 803985197, 101507307, 889720027, 944197228, 315528280, 317487307, 419584353, 280993115, 432280189, 873545048, 329153215, 962173490, 48841565, 495571623, 378990849, 994341021, 660783344, 214313849, 234571679, 362441526, 110995240, 477512643, 738083018, 357572846, 294262074, 718797708, 182209179, 689358608, 551662994, 571938960, 190652147, 545316838, 490025218, 462350500, 101468617, 676340777, 726179527, 607502904, 844000668, 298965525, 590469843, 226155806, 116953820, 116998942, 104122097, 104487899, 65426904, 443051248, 92003332, 68858403, 433582222, 810854467, 50686718, 571737246, 721249322, 921239269, 596430550, 476056155, 982860858, 613212695, 529134997, 505772630, 207285061, 862842968, 486152896, 511646494, 738739230, 13285452, 871331129, 935574581, 804310633, 446656762, 328134742, 299952704, 186526901, 348194917, 133185747, 923294750, 701943823, 855577123, 926918506, 296065438, 413810540, 156194099, 200004471, 803620627, 866255008, 808726777, 415956949, 35572301, 68781066, 985957330, 571580939, 225161957, 925637195, 418495702, 390877191, 573315063, 42792955, 19345702, 166663377, 201138625, 899595907, 102406553, 944624200, 165121507, 180230275, 768230028, 422667792, 408083076, 266942880, 746436764, 335205169, 620804698, 376732397, 707132576, 605264459, 160915341, 364004752, 13413279, 863501822, 84906095, 803838719, 488749085, 208406273, 323722456, 788741897, 878438642, 967153257, 194837067, 526427675, 314262130, 870756031, 512407368, 902616892, 210378769, 54341349, 978695069, 409673816, 551287398, 165554073, 114728939, 645923842, 577877974, 349378738, 73432834, 687380456, 849503538, 553137830, 826515250, 904517968, 364518623, 550871816, 323363347, 41835029, 86624316, 576608778, 79071063, 382485476, 326977285, 187447063, 832459670, 460361731, 426489102, 825638219, 986860155, 907450625, 275778231, 861849673, 482280182, 614614761, 812157048, 410286797, 60533055, 391276014, 50248856, 317996432, 687132674, 748915709, 627169549, 83896975, 673067725, 517702363, 515333953, 3415098, 342455338, 721668145, 799350668, 291778073, 380846052, 850879184, 984229944, 39158197, 664439624, 738520892, 487095366, 972832628, 838126220, 939605256, 963566373, 503360784, 350618864, 526543544, 14644830, 776405763, 756090577, 5621829, 240332637, 463377888, 689375299, 20990444, 100466109, 693520768, 233823440, 769739277, 629215634, 333669999, 320390374, 175653607, 756667350, 31753226, 181549233, 884441976, 892331084, 204481552, 830191988, 518607254, 120525434, 166385263, 544085312, 305125716, 679323232, 537378885, 349752565, 560535169, 988846448, 313857752, 198846908, 346387960, 814657444, 773440278, 562432389, 212772637, 825787427, 979233845, 154018625, 744934448, 341697190, 481708096, 339513709, 504359540, 954733057, 605941971, 305727819, 141315095, 528589138, 594146400, 481660900, 844303256, 876098588, 263045463, 622580836, 987543881, 835027350, 439265193, 964311387, 325700901, 338165073, 350682937, 444994187, 71526298, 74838903, 72988556, 258285919, 106695270, 541692490, 584706032, 430460632, 133375097, 92132590, 60740798, 699253824, 665384925, 231639982, 476571547, 928210072, 283428460, 519482620, 858548699, 687776, 629706538, 54539233, 698310010, 638417603, 351626256, 142324083, 306555781, 448066908, 14419330, 465119255, 955939266, 668222500, 939209854, 416698882, 451295375, 795513769, 242017417, 84828103, 250275598, 269514339, 55045455, 162050485, 432149934, 821864212, 290597998, 694870012, 700735484, 377198510, 204538040, 167977427, 982743118, 578243366, 692949521, 590881254, 97386928, 121343798, 591459487, 579025782, 947828893, 624926048, 584766018, 191554785, 777216386, 980056986, 245863015, 241656510, 429601207, 500903056, 145652227, 162526691, 617892768, 211960034, 129168150, 52231692, 901978433, 584987032, 127825300, 434285309, 755788407, 158430426, 567944956, 192855315, 309858535, 94046680, 492074159, 308580880, 104962590, 974216651, 510491431, 693235649, 35921107, 851661572, 450609080, 423366133, 193784020, 118949063, 427497670, 572715320, 358553594, 539060928, 508342549, 653903459, 867209718, 100012091, 172873070, 87436492, 641043785, 885700856, 144077930, 713416564, 291638948, 263671285, 104814716, 645267868, 31623645, 618227076, 285614954, 445305784, 345112342, 425302521, 315253993, 367560504, 616391687, 93385879, 18106302, 579863032, 76923769, 908311834, 932592222, 367916585, 590030877, 889689025, 51649381, 890262591, 307802705, 803776177, 396774968, 932914272, 308475537, 577215575, 937132313, 893282439, 991031329, 806264143, 295042344, 540523909, 99881343, 434583570, 948086478, 570448833, 831704018, 97330343, 701001346, 765686930, 557016004, 3276074, 112436319, 314572622, 303484619, 792991341, 209755836, 650199331, 475490512, 423327307, 935879083, 241887104, 164765541, 814076486, 789699463, 66928152, 860872568, 849063055, 569772716, 669157053, 574060129, 144219531, 687913062, 716246678, 404115736, 470215592, 298862383, 657194579, 627492385, 302717903, 997852738, 39535240, 303368956, 8476049, 115773266, 509007738, 545538945, 258792745, 183993183, 26841641, 70266556, 387283134, 105600046, 812107995, 201892616, 975675352, 431857244, 615363017, 676548161, 289592291, 291982496, 358763158, 983083883, 591835330, 362386750, 692005681, 195764808, 489456007, 138363188, 855406699, 639455966, 421268944, 673739089, 191376074, 821171149, 536994162, 27242880, 290648097, 399148814, 288148654, 949401053, 560752144, 467367408, 854556514, 898984771, 150141309, 62663322, 627124092, 831073106, 173522410, 604073329, 660919046, 713083857, 962228989, 768885864, 596689567, 84491191, 841034162, 484861819, 543104168, 144159786, 717826243, 463710954, 946455624, 770882640, 513425276, 814912788, 428817912, 67333524, 125460719, 823251164, 668467137, 711556055, 122743415, 719560407, 660337464, 668446244, 558120018, 643249869, 784961237, 961153503, 414920490, 815917631, 381176201, 22002379, 177624486, 328090936, 755290535, 493853820, 296607680, 852855650, 181141453, 257171346, 123083607, 950154918, 733558557, 315859492, 191731695, 713104267, 581517878, 588763379, 407710247, 771345120, 800307399, 737244346, 605976130, 789853668, 540427777, 350566360, 198288959, 167438958, 152433315, 343397166, 452360979, 275421035, 988075415, 376048232, 14553453, 360339468, 11599522, 188918343, 863546404, 723423076, 827012152, 885774126, 798920062, 739356455, 368573783, 181945884, 429724467, 535135683, 702200116, 934603456, 718147890, 480908518, 963600778, 636873648, 432387080, 965122543, 479118773, 543707694, 879506194, 529734768, 182870164, 981558962, 974716137, 513145214, 473918010, 377908440, 784216833, 276285981, 639075369, 530006545, 529408522, 310934743, 651213133, 674572005, 14972950, 489647254, 993577943, 816174305, 577837752, 647243740, 901596664, 337821325, 907284103, 476727089, 121267579, 542318914, 64674771, 844361878, 678625640, 900760316, 777645772, 107081946, 214912322, 190333680, 151576365, 433841038, 41852337, 527356397, 451020079, 298449236, 986508754, 244350520, 75965330, 370610805, 340298059, 804157386, 747113251, 420571981, 766048584, 335922955, 586493714, 467765347, 209914802, 992643952, 194336239, 989062843, 151540952, 703374264, 33436243, 998645728, 933472618, 204181077, 203294559, 958243292, 158454184, 112704627, 162360865, 144858168, 11219716, 611733797, 360812352, 638695871, 748344527, 176606185, 127995846, 711644136, 970790848, 880290, 520737080, 14802214, 328958747, 317367000, 976199007, 439308538, 257083836, 571073631, 170563752, 220696746, 401872378, 155183129, 619948406, 949869706, 309690127, 904243040, 786730226, 119581966, 632592864, 455622088, 619701081, 82270130, 3403280, 635503783, 695987152, 502835031, 343255074, 172864627, 436044040, 825329721, 211093919, 471177523, 747749888, 43211207, 582010423, 188938312, 989339017, 780204515, 940256803, 113212106, 249278578, 281939580, 937152915, 105203407, 629106519, 281828653, 857852801, 199326797, 412402076, 319816897, 719987646, 916952792, 911515639, 896648127, 496630128, 428814725, 100043089, 287543423, 84224179, 73277487, 997407970, 658750817, 701808187, 61274987, 223061343, 290857724, 682073121, 159830738, 724225067, 923392344, 920112685, 749788284, 999517624, 573337638, 555615988, 712072226, 710351580, 160292078, 459349735, 970161399, 207647289, 852648271, 133769707, 691813122, 324791152, 805394002, 267730315, 690013652, 341296316, 848022938, 122496863, 622921341, 618838133, 601809359, 479002298, 17629014, 687212373, 589217013, 68734406, 211169552, 461442185, 756252882, 585311497, 205932086, 222191955, 366310258, 766315767, 989212677, 184949386, 492117076, 185891713, 589520010, 573318345, 347130224, 982181496, 430127483, 303605556, 727280725, 327531525, 151309364, 916418990, 32127305, 373239495, 938005147, 914548942, 293633809, 96855583, 738178797, 646612965, 970662166, 929587951, 560945317, 745776108, 507395116, 105364299, 350333938, 163874432, 309695545, 687991734, 164221759, 50418195, 609248183, 970856871, 624766204, 592256165, 775567664, 245029287, 775941178, 713743658, 20985339, 984884495, 678143259, 960151501, 828387416, 667591587, 671791532, 227746225, 664660056, 264242677, 940783206, 985582228, 187415692, 381627586, 969654789, 903657937, 154869844, 775802543, 774696001, 895525340, 775961002, 731481897, 791440612, 199304961, 858544212, 928098004, 742330249, 620297642, 394661439, 226765385, 365488298, 519039365, 71650774, 611817535, 36919638, 155336296, 292583160, 943150044, 608100326, 984552676, 125428844, 637362066, 639605163, 609464468, 561583133, 870501455, 8054203, 892852442, 654428045, 880482, 814614041, 359769163, 367229115, 607298987, 156801509, 387937093, 979171469, 812966511, 49777957, 406581355, 673560235, 455355089, 710883921, 796325574, 588101685, 701954394, 621205082, 527526420, 762320782, 420756512, 848809205, 968800016, 972278784, 979670915, 674277165, 743415345, 34180043, 446249159, 593909056, 229651433, 671008697, 233820763, 797634701, 733622626, 298341290, 971151496, 656921347, 549064750, 415738707, 399261211, 8715673, 91546605, 787853477, 465999631, 618626307, 79701527, 869266430, 117548369, 82831802, 965172263, 224277235, 35770553, 696353095, 972276108, 175553069, 882318924, 444598737, 531813455, 268980197, 192951565, 239993441, 634087129, 751689896, 822473190, 489395906, 722741069, 63252259, 753726456, 438893336, 914587427, 578225212, 194920978, 289058669, 267151437, 228556647, 904249191, 771636604, 387686416, 729470508, 378916561, 930707196, 443823180, 574973802, 714346625, 277537854, 300180056, 656705636, 730862008, 125853451, 588095764, 920119971, 484214781, 811910574, 757282318, 787335449, 985225903, 529899016, 993271311, 969842032, 390910994, 148976571, 385906962, 839649736, 790809346, 341607322, 293005025, 415151521, 776289020, 919275485, 537902612, 240911117, 262995596, 67480147, 985555335, 921214980, 268958446, 546352035, 50820626, 162413440, 89149474, 795729405, 703625104, 735075479, 42047801, 715615895, 517798495, 41231495, 509001569, 103025441, 170065624, 792095650, 551001852, 884400366, 871421926, 244738280, 904986275, 657130700, 74755928, 844038355, 473077699, 587607565, 63658005, 567557782, 561655606, 232421260, 783645792, 818042541, 47841624, 890494230, 213533201, 337091468, 620507479, 288253178, 484862019, 929066068, 801406447, 965656822, 334810684, 411075839, 995739987, 745368892, 143264184, 200007309, 815246710, 283080260, 78565033, 520098573, 512423934, 804698036, 251324438, 397505231, 62007505, 161309578, 529067927, 982737111, 63413751, 632695702, 170242015, 263419908, 512021064, 525530786, 82570014, 858295157, 884883541, 539114298, 196681928, 406743233, 66964976, 667592480, 78660121, 917946661, 296628182, 989193271, 667325549, 463148849, 820632014, 873549891, 485837326, 697864224, 584087944, 895853629, 423008773, 668495721, 621720503, 170232037, 280788912, 484298334, 192723152, 20640839, 778015589, 786642863, 912874145, 753823122, 938234615, 307523470, 430084898, 394383456, 501743941, 126757665, 815064833, 998285807, 699446347, 295454762, 823848881, 119352567, 895070361, 451833165, 110604359, 883757456, 165432111, 982718510, 677479740, 162447568, 566551955, 512152210, 937615536, 768850697, 562083818, 64865331, 738910941, 989247257, 308200587, 635692634, 35672539, 979966732, 582697918, 224828336, 858634417, 329602688, 953250619, 172662899, 427374187, 594415152, 746527781, 616704998, 753455480, 526309979, 361685041, 998927585, 305315492, 295049433, 374913294, 391371245, 371871074, 91709520, 411272772, 591255394, 573129020, 174085894, 587765856, 738877600, 217747592, 249633190, 772814249, 777933029, 188828614, 287932191, 794337982, 239683449, 22106593, 465274385, 928336546, 159126827, 465148166, 132336925, 810993250, 515187143, 175367011, 279204864, 922245546, 585442406, 456983930, 682814062, 688763681, 923038350, 126592455, 403103929, 673879706, 421360996, 738083155, 808654652, 111173035, 804050219, 351710327, 6650114, 772483288, 791627820, 619800876, 846962011, 988422880, 691147461, 897305234, 475188837, 222690495, 587506865, 182226103, 438517990, 744158205, 725436137, 643978441, 22462736, 349297234, 716989413, 936028930, 293225798, 619035848, 486470501, 265054812, 722400087, 719657702, 561243826, 632890028, 728482494, 592614527, 694838744, 241795547, 287453287, 467956706, 147266668, 51606369, 467762157, 192100089, 397457409, 89383013, 952264019, 505825508, 512787132, 486925989, 11852191, 881322981, 996616140, 642498995, 367283192, 378309710, 493000337, 833416308, 132176480, 96347124, 907140763, 630373160, 583438791, 933937365, 134459317, 756083569, 69682323, 435409358, 952622876, 584798221, 264929198, 741529253, 844639525, 803511406, 76562215, 674561633, 932016794, 653867987, 978027719, 617395733, 182770712, 648063459, 68716849, 163962141, 839387089, 41717636, 983099574, 339512166, 675718378, 46239149, 833945047, 939936995, 103188854, 911034054, 848277452, 756367677, 881883725, 291958951, 185515072, 465508298, 565809603, 641193509, 669251157, 831093785, 472395653, 578964166, 87245804, 599435128, 87892882, 822648652, 747048899, 752906253, 844680639, 662005529, 280932634, 31656978, 669401540, 111504030, 730232174, 849340436, 415840331, 312066634, 539415368, 291117172, 185601161, 640370494, 820077441, 297799327, 766896620, 991611185, 791067222, 750287474, 365817783, 93366515, 611800072, 327972303, 565936771, 966230219, 343149061, 976195696, 788067228, 841363342, 514724669, 942722108, 291822952, 443683170, 772729065, 518308624, 745407718, 730814848, 543236336, 600934459, 743334024, 155310076, 810000986, 141915146, 630946041, 141910466, 261910966, 994225799, 473130729, 897894094, 985107831, 502557044, 47889593, 408780404, 679172150, 654046547, 84834330, 265388432, 700570984, 368269004, 994268687, 103496715, 103752752, 27765388, 448521384, 896917140, 412648771, 92830922, 991836019, 752765323, 655219085, 150841473, 139142450, 719633743, 73663777, 872140779, 989060922, 308246754, 361163372, 463375164, 36869068, 497734837, 918279385, 966663343, 400190947, 829939329, 410325756, 510042500, 816360557, 523865982, 214201112, 910712884, 648528192, 863623847, 540470249, 139764597, 729108395, 908335106, 542500820, 184858420, 785178867, 80774172, 97988850, 573527913, 797247265, 703891684, 214613635, 26241811, 908422276, 661895730, 914490792, 764149451, 205072192, 163364341, 480401747, 742605543, 456630320, 864675966, 262035135, 339874929, 152105747, 679792434, 879308424, 867832566, 833346862, 43680313, 211813497, 535855142, 665541460, 202750346, 570077765, 529209562, 646493598, 180016312, 81332123, 822339905, 66386160, 630457309, 522863168, 989217971, 690480371, 138613851, 963392165, 745645412, 122026458, 907883042, 130643538, 678539411, 907734277, 828140541, 150614908, 917722135, 927284102, 216160246, 911765241, 938623977, 557007236, 680246392, 465121822, 984379431, 826163238, 651398034, 828057408, 137533965, 867141882, 234458103, 585292046, 297811700, 553205963, 943740380, 66806084, 795623175, 783171704, 658336483, 825879862, 885166675, 107956989, 853394189, 672116110, 310078773, 148910275, 472014403, 125306352, 847686569, 165688801, 814418028, 363102171, 923443946, 565984560, 841426564, 75842904, 910322810, 172382651, 645740023, 702458635, 913987062, 308033109, 955162441, 347287800, 498454021, 331159224, 492142815, 727318556, 198003685, 52641178, 631663931, 339830307, 321917869, 135882209, 525394405, 889154983, 165136223, 518201575, 395040447, 792788527, 989232247, 110884291, 360347893, 305362482, 400425846, 462197560, 475832418, 618949391, 420406777, 171728123, 514754411, 565942818, 252186378, 864243663, 739103650, 668629628, 884600870, 756970637, 44679581, 489514805, 741822758, 274976077, 562209816, 843362382, 939723823, 440994318, 127931341, 87746840, 862969363, 615787653, 186484142, 597387329, 848434330, 803796983, 975117807, 802927869, 180624217, 894986548, 605079336, 955044247, 816631921, 216094178, 729568914, 939979623, 137337798, 8327164, 462845226, 727145345, 709232617, 297554595, 459232799, 346565155, 316085533, 322121627, 76430431, 808934278, 143247719, 241274008, 299978880, 778275665, 342367482, 976025990, 530849868, 421220401, 847773028, 885935807, 578923463, 936697619, 185817342, 418749201, 119149074, 229143491, 975947398, 819853562, 770194242, 745467516, 854211176, 137864901, 828102534, 921170012, 823869361, 348286015, 159257234, 991489646, 17382860, 785087485, 101123299, 727510197, 366534301, 124921766, 598480980, 334913704, 501133245, 600478007, 763920920, 428045662, 474787286, 383150894, 181143009, 788443943, 46616819, 883227871, 853531864, 114403766, 920460168, 313145473, 938209699, 838538158, 460379823, 829985017, 70073780, 290491377, 774333906, 274785999, 943429616, 574109157, 755511452, 901126176, 137160821, 686386353, 938845252, 883861836, 15190593, 473097016, 301852620, 570496027, 570283302, 187548266, 460267414, 29933182, 647460922, 28821394, 360778722, 819672810, 543525111, 910676721, 443813933, 642996959, 204408585, 886151017, 41451313, 324137796, 231278608, 876864481, 624433521, 66293080, 80511917, 566656297, 839373954, 954304751, 671611172, 549738572, 360306729, 540311893, 639259678, 592443276, 788283957, 814836960, 725547846, 765495963, 975700394, 596368917, 43709601, 124655947, 801094676, 682497302, 35189000, 11153274, 296277298, 918809572, 257354952, 381932697, 299553461, 672177621, 808590741, 937190246, 335592232, 270645083, 135677221, 489004021, 820050804, 65425260, 118077164, 159418700, 768478013, 342236789, 309345838, 596626076, 874943133, 882704165, 670010458, 182706626, 480269861, 850692173, 818189756, 23464531, 854718813, 460039879, 412190936, 472392873, 972589311, 444438162, 500338579, 476555835, 238876072, 425314402, 207260205, 643555040, 108931990, 216716758, 452598594, 570291371, 508531017, 642040951, 888816903, 523004509, 315845464, 864123976, 18404426, 946314163, 510494920, 526563622, 202108526, 655004836, 660800208, 848478215, 64149194, 309443931, 316175249, 551032056, 916500380, 101962175, 905383886, 118560752, 781347868, 369400534, 68346830, 70867211, 611848558, 880254642, 345715219, 586138729, 85457883, 613969176, 790498883, 335036360, 6894546, 797947581, 862895005, 787839107, 630029172, 567139842, 905470726, 437061701, 909646124, 210948163, 114490249, 366494921, 540051544, 806886078, 295369099, 587591573, 558260585, 290444833, 327926970, 298281030, 765906211, 133916402, 549275314, 589341553, 480875174, 577625053, 819726796, 328500754, 572321177, 813895947, 634094376, 334198472, 238715780, 648165722, 33906048, 82458079, 528591457, 243025744, 378317845, 727577661, 784612248, 382577287, 139804178, 537823007, 967535759, 531561470, 816356271, 581404099, 741464621, 738854903, 439811749, 929351230, 107845579, 563369619, 993449214, 47159361, 407789726, 897746161, 905484730, 261319298, 715053097, 826649347, 568668220, 369457222, 369041502, 749481970, 516683697, 497557503, 193437954, 469248010, 179977283, 247560999, 718390080, 963495894, 658361398, 406108768, 165275618, 76532795, 95818225, 488993099, 811242196, 893982460, 780534030, 96141828, 924561312, 50242261, 184739086, 657603844, 435428199, 860409633, 649213634, 499563045, 174033612, 7491711, 532074672, 34702728, 294100318, 632856128, 347794924, 471411287, 519734622, 952060175, 539637480, 993612578, 190406846, 511177791, 266897534, 145766803, 464885210, 977827425, 308566292, 427600152, 864260002, 797683379, 47502557, 131529711, 827229417, 638380864, 888400362, 23274326, 92603492, 233692987, 645392766, 593117815, 589699825, 62808513, 127038842, 350541901, 378046962, 839506064, 562431634, 164922012, 463419844, 146937336, 693654966, 441833486, 549814391, 528404387, 596257193, 758688029, 110896696, 938456135, 502428404, 915075257, 425620493, 621462350, 434334727, 35243281, 452168455, 953120157, 70923908, 782120189, 85535493, 530186181, 389098157, 179344431, 966997194, 960601909, 86333721, 128574828, 554147840, 436754621, 867951473, 580201550, 360255979, 965468005, 56218697, 106116502, 582437523, 810060481, 182639617, 339844828, 555211350, 410092935, 542665280, 621154374, 204120086, 195324365, 995572939, 698813167, 257638199, 668651409, 872047043, 341256534, 973473467, 294804034, 329037452, 286860449, 336962753, 811468376, 901581251, 579255890, 509230790, 682270434, 628468941, 61495011, 34050000, 414428041, 139160866, 302785678, 571825081, 326321390, 482212678, 960348540, 455190000, 294418410, 518297338, 247697470, 294206896, 800896173, 302677183, 644100037, 876875215, 939844649, 502495183, 872841926, 202083686, 294313489, 156807668, 280513485, 901244875, 760909276, 725124902, 813314027, 715850259, 74006837, 361972084, 520609105, 359820979, 824493829, 328445918, 584177761, 159012921, 352305060, 896478086, 475633475, 304493335, 913758601, 446117899, 494945142, 895343205, 82516896, 932260257, 942105422, 873611446, 27524600, 122670318, 716760417, 464187166, 370268984, 289931405, 28756516, 270174466, 238387513, 924938806, 436744366, 342135581, 28879383, 870907274, 859641509, 808715491, 35106193, 186153294, 956784444, 995914013, 765569618, 455772490, 700143713, 947208672, 257265899, 849701208, 312566113, 164205858, 114091718, 684997944, 70533514, 531028204, 961136534, 728970987, 890206207, 129293936, 95389808, 781693367, 454883952, 710223544, 518373966, 480229769, 267240229, 362614175, 446299409, 568065573, 95346595, 528178264, 1291923, 592009060, 59179195, 646051156, 545331734, 494673899, 160274249, 85498709, 118240780, 269871016, 653903771, 523622215, 367531664, 519416545, 843364152, 504638884, 738526629, 100695194, 496826964, 982089755, 76340216, 131973353, 516274186, 779337428, 853143868, 670032112, 864305971, 385364479, 274930716, 633947620, 978104979, 118922662, 306332493, 393807213, 187636415, 623213878, 868468009, 482143947, 850367139, 522853201, 280284654, 101634180, 527120129, 4549461, 890272424, 788562723, 739735212, 684611011, 840079918, 355588443, 643719263, 396745068, 968265504, 618285051, 876135499, 664300116, 342449443, 534301989, 247963724, 539371908, 714530057, 359688391, 902594931, 133325284, 936223312, 156802711, 715059021, 960178024, 705084398, 543084579, 162965667, 874072824, 407978063, 11561802, 440682471, 38812654, 520388324, 474048715, 580286378, 812139788, 952532178, 525550971, 384931581, 986271088, 328380257, 999738381, 31005236, 736671541, 262278191, 405540851, 340696013, 186731802, 979158159, 872088368, 104964325, 895153383, 121269370, 741922740, 30597026, 910799658, 107817022, 910408277, 253615044, 886396186, 361283176, 85763046, 358306517, 26758423, 111886455, 804527739, 206840417, 47770196, 891751599, 356871209, 232121380, 869919914, 330066129, 797259525, 651693899, 20283492, 434294301, 163018732, 550870589, 991826608, 580703453, 111792206, 661498669, 280981097, 391178121, 347293096, 646933117, 95999707, 891715552, 99417314, 91837477, 252989986, 73453236, 87943888, 265557858, 192235163, 277336567, 913082133, 276450995, 786058331, 549033843, 951395768, 533513865, 977038250, 793918457, 892952653, 956854730, 316873565, 934824343, 110076010, 596612890, 787477170, 469830019, 757773729, 228202979, 999674341, 945847093, 317083521, 763054293, 476843021, 565136204, 752725513, 131442259, 55841256, 952791017, 526120402, 534963409, 66968883, 129812730, 816463381, 565316871, 550258841, 383980447, 531404709, 724180743, 704521640, 426794250, 675820837, 749213218, 69224414, 450245997, 550091741, 941610659, 63283199, 525332926, 739961514, 54033010, 322675714, 963285467, 949633690, 49849559, 758504280, 221457807, 768055841, 78952, 609148656, 813664607, 596483587, 404810798, 720290289, 786235618, 813286999, 402708411, 169632774, 280267258, 963002291, 243244597, 705622014, 429751051, 387334942, 757309543, 605403867, 60477197, 458001665, 307322027, 169317163, 559122424, 186393211, 735574934, 733024988, 797914662, 293680054, 146491107, 3156954, 979803348, 443844508, 170276183, 179872928, 388180496, 838305013, 814090296, 673701302, 782172380, 523627105, 718077964, 747359532, 647577715, 179178052, 868358682, 21863375, 458355337, 342948189, 441237832, 522641077, 976301435, 821710967, 284233557, 825792020, 826397844, 702130772, 644801759, 413485033, 263898504, 755641895, 408786017, 929870018, 869295526, 548647377, 141252014, 45212434, 649733110, 9643896, 337970446, 209219154, 67100797, 917206877, 477223611, 331651686, 774729915, 145958493, 442833209, 640098219, 506734095, 379345531, 78935328, 682940272, 830469704, 820696369, 538923430, 573502341, 351156261, 652141593, 165990857, 549928150, 482843596, 275750927, 351359463, 966972212, 945939711, 726554882, 752820529, 793776758, 434865670, 337547563, 958184665, 364455570, 23256196, 463383230, 609220234, 495886183, 573396425, 461668855, 593440880, 652510688, 594251265, 264318456, 780878971, 625987392, 715177281, 164000967, 969564025, 649339803, 273925492, 764359901, 183532143, 101698513, 734990030, 575570737, 971285903, 216066517, 961124793, 243237637, 186644931, 886376324, 391046321, 581271089, 522450345, 968352867, 957501179, 550453339, 886037438, 521817146, 677705816, 192436438, 785386488, 732137319, 378913442, 916520908, 295983308, 807728818, 995899585, 130889560, 541583091, 25219977, 934367369, 261653931, 355246489, 361969281, 738660955, 811445277, 380148554, 491220723, 582781742, 104347943, 819130118, 91299224, 181361348, 389337060, 752482331, 144402387, 687967566, 838838892, 710430613, 773916894, 614535992, 960028876, 992899086, 724343501, 832208894, 338823417, 995269928, 541904159, 428197668, 477033774, 548275635, 7439478, 464309657, 485953955, 977315311, 341922314, 617938889, 173176336, 523247851, 304456520, 611142784, 340540475, 76092957, 648459887, 350747816, 568087380, 150947528, 405733, 736947022, 959679520, 26680780, 659505662, 694615749, 22929321, 836791276, 157345328, 692597716, 243515892, 778269055, 770173486, 518205661, 442182740, 110761531, 428691890, 699360044, 177175689, 360665345, 417591978, 913244089, 479478136, 432035697, 454028437, 789446331, 516282680, 837731046, 455657900, 806839282, 735151314, 57364557, 872428843, 778690997, 899501946, 557230097, 744002539, 5867574, 250669153, 456613856, 6110401, 581799263, 905113646, 213879014, 843053643, 651360350, 574142214, 862710936, 860504897, 194852126, 311844477, 587623097, 463801901, 95753776, 989328550, 435184109, 149061279, 107461418, 792202885, 927566802, 271430090, 874882875, 45170985, 73542215, 600380059, 362925966, 989644723, 291326752, 720975539, 555817799, 847285083, 648954953, 476681068, 50124769, 240124557, 431629633, 140425708, 66703104, 314120290, 870139671, 420096557, 610075888, 834619643, 736543219, 737809294, 779024669, 85877610, 880658665, 737526783, 8812646, 782592746, 906445909, 997218352, 760664729, 560541542, 300191672, 852037978, 943721857, 463619515, 940624222, 811639972, 595486652, 820527349, 759431790, 890396910, 162869292, 62501089, 248526420, 199900456, 865254089, 812745885, 207413809, 618960887, 814413065, 241457268, 662675420, 629295760, 933264523, 567363940, 924216294, 848360804, 634221806, 956184686, 421516853, 232841040, 706290070, 66051373, 961043539, 950072155, 915747569, 670972694, 91138629, 190322772, 893817265, 178479473, 649244290, 140388340, 350404694, 288335401, 661102973, 670940349, 854707119, 568241982, 246871872, 286674141, 839843314, 652119020, 764563149, 927811448, 15469822, 204742171, 474614927, 682070774, 84614990, 80044928, 104325347, 24033290, 783768589, 174258296, 444066918, 960598056, 57760858, 702547674, 256972327, 666099918, 824075749, 4736060, 134358536, 284372830, 159659395, 582802654, 647490747, 462858399, 35181096, 502169647, 932614492, 888937592, 494179709, 230380784, 37733002, 745113520, 664095590, 451099985, 843509169, 120543471, 458237819, 448189759, 911310046, 794719253, 424905628, 827495185, 996873791, 890650456, 789860743, 111642020, 555870249, 919276131, 22252396, 512343597, 421690023, 375897119, 828736809, 566530464, 202684677, 88222714, 250011967, 391643778, 991330792, 41408746, 305238594, 150493233, 247866585, 673860357, 79823370, 245432005, 881832008, 850883458, 830983785, 850983797, 57234042, 297918921, 44940715, 252349328, 945636395, 827975081, 763264697, 776395186, 385758015, 272273129, 39750122, 303479494, 552649155, 809890423, 363609102, 618368568, 35381079, 44046245, 12986845, 954994209, 763646831, 257602798, 259317827, 350683338, 640090562, 136292912, 192874530, 920689007, 21367914, 453798042, 493041794, 386333896, 291276733, 526330320, 357542923, 169972274, 620812953, 746913722, 91479411, 266669734, 673070267, 572382954, 541736757, 28104800, 557714243, 352090361, 944250291, 352260227, 528087494, 963763490, 78921712, 820492392, 42548081, 801765177, 47123079, 595366727, 410398705, 945981823, 205114741, 55112944, 877618137, 817984893, 461331834, 523410302, 993951198, 116004076, 653394205, 816783643, 362185641, 889768011, 331590658, 542784338, 532759646, 323955177, 501281526, 902728159, 51814549, 90442028, 214853916, 473330212, 225845861, 920628175, 848971753, 602442257, 908615141, 498827137, 235210900, 833706874, 192725867, 26286119, 866722050, 500156731, 311678026, 223761813, 471351416, 400771762, 12017270, 973258072, 327318740, 426779662, 659952482, 103359803, 792674661, 600073613, 862227844, 820576790, 126753371, 885387378, 122391957, 269327767, 136773745, 160491014, 298705187, 299179167, 120012048, 931916058, 20416707, 579782570, 656913063, 91740508, 622684038, 702537400, 703805374, 210640811, 322409481, 295676105, 678377098, 362530208, 592052759, 662558224, 80563500, 436574251, 611567365, 162273698, 539992018, 210599797, 496489148, 830134736, 949964983, 420100294, 680040757, 150620889, 398279347, 370523034, 48300745, 426155623, 424898623, 89068123, 756675008, 16965951, 930378997, 285606283, 921225575, 718841310, 661772146, 921707085, 976661523, 534234329, 149399647, 656368820, 423616308, 274458341, 197734111, 570771768, 963190265, 69496940, 745476119, 909130001, 666000796, 804705344, 287504765, 503045462, 338322422, 121844196, 726784995, 138268587, 700774149, 758819304, 105516379, 816914990, 974109827, 898876342, 630428917, 764271763, 716783593, 969279276, 708243559, 651495878, 518815144, 299105731, 802193778, 441717553, 38379260, 583130611, 340820762, 509549677, 936352113, 522625567, 89928886, 596337906, 938366507, 463192380, 437738163, 621503976, 664446711, 252531301, 130632882, 383121227, 709724063, 194184674, 850908440, 309636512, 801914853, 737814835, 574693004, 730659104, 200917505, 562080860, 500715478, 967573449, 845013539, 672605952, 510785426, 652314550, 683743942, 830004647, 524972261, 856871615, 504340201, 63979382, 233620794, 430161289, 94358732, 459612919, 383366346, 394288718, 495561747, 772623828, 805527817, 758147088, 567895718, 634874546, 982071924, 641869806, 623278354, 617180334, 52361714, 126974831, 196159188, 669814914, 333244598, 771370686, 177201473, 336292905, 561791701, 831813049, 63899716, 859173132, 213230547, 148459037, 380215895, 703525855, 249865967, 259113041, 289968118, 90373186, 438446592, 657090042, 670455848, 246500124, 445530645, 844869571, 733171539, 307705387, 220174719, 335066228, 370277409, 289702154, 729625141, 17704736, 661340902, 695904849, 557805875, 157098501, 884312164, 341619623, 371998503, 613554165, 384857845, 287637594, 659403241, 74864472, 577165101, 565464909, 327365984, 339839445, 610038390, 143955677, 90377764, 644731247, 364811224, 943718358, 235833005, 118712852, 243023652, 410371069, 635654576, 358569837, 943947399, 214301860, 57253984, 34350982, 777276178, 386876655, 849063287, 923783364, 270737117, 915310840, 58911434, 475000010, 644462533, 892699146, 508090359, 896206002, 713087186, 13664997, 725473707, 50909854, 436134936, 117566580, 197312727, 178627643, 393704984, 134512176, 961805790, 867803606, 702836183, 801437255, 989427222, 875558822, 534712567, 253165713, 207107955, 880567951, 44179710, 72056699, 964600290, 522780145, 420036283, 890292800, 595586233, 750375987, 288600442, 284029005, 493857100, 605995932, 654059368, 297719006, 374733586, 187429082, 760692473, 712443961, 176104858, 202348886, 32352723, 134858890, 906341325, 930467263, 411161275, 10195870, 775881437, 566463267, 361044867, 425881910, 988991761, 287154304, 819979413, 582126486, 316136298, 137096140, 936922780, 218876650, 109980738, 985052385, 607452587, 734165749, 752733246, 398522967, 786273727, 69397306, 72812288, 895252706, 515424095, 882036375, 573022750, 334908288, 75981620, 628420888, 248007484, 7174919, 867721212, 514137039, 155993929, 971821444, 396133596, 123819302, 163015600, 990209396, 323232656, 982358663, 685899015, 895415395, 197408460, 414358947, 169004403, 34014811, 462324393, 599038198, 890668595, 367113772, 974766450, 568461276, 796454245, 586943216, 367103516, 626319661, 614729138, 147753299, 238145955, 889097953, 854453623, 778154426, 786767251, 773471596, 551647712, 141590655, 159127527, 60797777, 37451973, 192709904, 573336817, 589289795, 706999463, 106282598, 706002060, 91056070, 901574420, 568572092, 601411645, 837255289, 90887852, 177676670, 526030518, 73691212, 751999060, 48568338, 420706590, 212637118, 805571164, 897701516, 830836202, 469837698, 425995960, 782482940, 645975186, 651066400, 161527345, 500452280, 951653093, 940658873, 415165722, 817354777, 224449310, 808255707, 593819367, 443134796, 742497025, 410929604, 376355492, 75837200, 555443363, 540367299, 977831791, 526286419, 334791932, 556384876, 27536657, 92655717, 657023306, 252147017, 740226187, 514918463, 816373328, 839565735, 784335017, 172108662, 136187710, 517512236, 435488945, 694461186, 958002764, 244885579, 435106604, 935373804, 881363415, 559695653, 470567921, 81461616, 798192404, 546235972, 315626141, 21976282, 691455156, 486495442, 942928553, 310400930, 5653271, 844160567, 488235273, 733991435, 821405638, 956544390, 385184366, 100757524, 319753327, 469356818, 313196048, 302299854, 350752150, 90530624, 896495737, 150470130, 282921633, 712424094, 27482817, 651715430, 747784774, 898213951, 107769372, 768651942, 867557953, 514277345, 913752651, 625580715, 221676775, 358663140, 842659425, 135192309, 764965914, 145672262, 521534759, 602542169, 356093075, 730057977, 803419164, 417896436, 199373010, 477373350, 826430633, 756502840, 250813115, 290998356, 5417690, 565182164, 604403927, 868805386, 199274916, 181911438, 820944427, 162719958, 848841587, 561054964, 24339551, 290502108, 297901471, 481454262, 45212521, 825112537, 593781811, 523544215, 142749794, 552717622, 256843677, 621417660, 557858185, 890144461, 659661127, 125152198, 542622920, 255238115, 681695151, 481546742, 616978502, 453298950, 946542255, 107204059, 356781849, 855734935, 959459351, 514898411, 862198954, 871495762, 84020246, 359489789, 484857832, 608184852, 692288913, 89798918, 377305743, 339366523, 330794462, 318195301, 849228059, 674111526, 211368866, 232999618, 834308456, 455897882, 597852114, 128369200, 164423058, 597123795, 392536287, 257420267, 989981255, 976824726, 16183407, 779525840, 33974220, 533381181, 630212105, 678568426, 535894892, 555224135, 426711387, 702580863, 976683782, 96079480, 806251719, 102204861, 266098146, 430245989, 617405607, 862245500, 84203150, 547136277, 965699617, 219049808, 121807159, 648067593, 386097415, 601226862, 368195000, 358344766, 437837874, 921630662, 796519651, 205314078, 353994865, 222716205, 219089891, 109132944, 922004157, 454599427, 357489621, 130002999, 896427584, 714933375, 56324321, 400451506, 909319734, 290800887, 431675653, 638061876, 57772072, 533044713, 55323636, 842123102, 352674403, 430186949, 21524824, 890779416, 401787381, 606393126, 823174271, 557396635, 61483451, 411624100, 954483194, 576402176, 912702140, 734174710, 987912638, 214581402, 758274325, 45648672, 74801233, 412702785, 663358751, 251597224, 426832476, 798081489, 33494873, 576713184, 172101800, 164578158, 563216298, 571317114, 961363299, 430588028, 318196230, 683145173, 129770808, 295154498, 87347697, 244159504, 812917048, 342162769, 429463796, 358713897, 181295656, 921798722, 450248331, 995972022, 141351063, 340845404, 280830113, 584530589, 330916510, 718113352, 929157555, 181207992, 122822851, 47742326, 77943556, 387028879, 373329656, 517338077, 537623440, 511276751, 117775461, 337927495, 78888945, 215990677, 99483279, 883430627, 158705361, 740969484, 327343218, 877896124, 799511104, 862636883, 595282210, 110466900, 626463624, 512353718, 195753305, 712507618, 996663971, 646665, 779508573, 351728046, 869447169, 422052491, 472707603, 95228722, 551605759, 955939010, 157730458, 680206093, 842654804, 826393720, 426408693, 636308385, 852033002, 235678009, 45259380, 640687129, 178637043, 924014191, 807625131, 426712716, 364753700, 579809411, 976138248, 891657834, 921137055, 130576800, 903123982, 650036293, 903507605, 596068733, 474865278, 128516336, 740309843, 539757434, 789005829, 377587157, 553317040, 75112155, 943968968, 119479100, 612475954, 567897383, 309050712, 291973921, 936845672, 303959925, 225565079, 925005464, 854528097, 217689340, 146877116, 49442970, 837847733, 296987327, 904147245, 153062488, 764010658, 663692797, 276196316, 529240166, 851548850, 920497040, 641526591, 379624661, 546003581, 497634655, 163689269, 405279586, 197584682, 939204331, 151720985, 546256737, 94413475, 290585074, 569424962, 957028704, 997568876, 589983691, 584105286, 753127018, 605533577, 950445818, 834572685, 431675047, 970478675, 687746629, 507327511, 18452557, 536366664, 754118544, 237267900, 654978478, 13838835, 244578048, 884471055, 203015558, 271372858, 673543212, 178286511, 306572909, 459538475, 413204668, 737958562, 319967514, 999021712, 224650187, 35003195, 966571389, 554005951, 468429379, 970960400, 682156084, 385474279, 137372066, 839092589, 99126975, 963018112, 180957208, 189900947, 412274457, 451783090, 553975046, 859524523, 953896118, 900143271, 917848007, 287532891, 784289763, 958363870, 664608062, 118374848, 317152495, 351740393, 827395237, 700792542, 446907307, 299723018, 873437960, 516131021, 389614130, 139563966, 917804150, 584804658, 350889800, 905482036, 620458616, 606657331, 387729882, 455721617, 347835505, 278313017, 503979436, 542061033, 578298115, 792304247, 826786737, 305332589, 460929376, 772739780, 512281994, 835407134, 714460566, 482462322, 399422027, 545359767, 635674519, 446355187, 103492366, 712428184, 438804156, 377829727, 739177451, 579704901, 424833658, 657598936, 468121624, 904967184, 897201222, 543927510, 104846010, 274867483, 898591215, 701316124, 908544450, 265598042, 579787761, 83830880, 264355224, 684501860, 842775392, 49687298, 266313904, 189295820, 198074920, 55458857, 6166828, 942787199, 305152900, 991057298, 101575342, 124518065, 539838956, 445099317, 841519927, 239838023, 292987505, 109134639, 119754068, 785504633, 537394773, 578215282, 147109340, 757602719, 619200634, 809601210, 827890893, 51736323, 501706680, 595433338, 134448616, 285542324, 901582795, 754597379, 276323983, 619176329, 721710648, 504217527, 266140030, 16219642, 859286805, 461379043, 638570672, 62008281, 911107517, 746820714, 487309294, 238770406, 551908901, 428615685, 505179165, 740402887, 260325760, 4877352, 411197156, 809923075, 388666218, 773837478, 203595774, 820423431, 457272944, 772466114, 740451151, 668119569, 25373409, 279327102, 96221137, 428085903, 912487524, 409737668, 899156150, 427904672, 205607956, 347231892, 386910263, 122340623, 590439989, 159304955, 18744610, 73338089, 707797567, 864713326, 324832556, 560795180, 182649391, 439546282, 42394625, 410453139, 917138890, 607680131, 673929602, 67925577, 533824907, 509102790, 569032296, 594789918, 431282772, 44344020, 691479111, 58460153, 586039077, 479700811, 712635638, 689588036, 113918559, 675107950, 51799869, 753040919, 694994237, 991209080, 33182102, 553269350, 40698320, 861019683, 852150717, 91594167, 152068570, 536288683, 250048507, 54206960, 235010014, 343087511, 384029973, 158841523, 494901156, 950570137, 923302532, 101245139, 143960381, 15598882, 112151081, 893401773, 991374791, 236611884, 100734158, 202215955, 71701359, 717220900, 801273540, 979771466, 784826808, 328632536, 172008993, 294232753, 505571704, 435447562, 15281404, 267032859, 408068448, 898827230, 245671572, 537192365, 238789435, 315841205, 667589770, 463592931, 216399183, 733480692, 912573870, 87494950, 782895604, 34782290, 766088252, 99884336, 460698144, 237957906, 942535021, 555331690, 650077551, 108163106, 679307559, 92197630, 52939010, 893334394, 457047155, 729106809, 349333725, 41666833, 977942323, 23281731, 119624745, 383948542, 486852263, 698308260, 721857298, 691205029, 737609265, 735298475, 528914158, 146590079, 898229952, 596721058, 462583789, 562755105, 185938975, 74974779, 761024378, 484938884, 690029858, 200583897, 129536652, 400412666, 17548175, 82962620, 652453255, 386510575, 635018105, 472983562, 262607671, 437670038, 488834164, 430202673, 796709652, 320756950, 539353024, 481616754, 295149392, 898001944, 556781367, 977038956, 971204406, 971819521, 228156155, 304984587, 562772758, 561751097, 579030652, 886333110, 135960962, 457818916, 946067384, 802217912, 901775033, 870436702, 944755397, 911497471, 872006660, 977849795, 211853165, 759389394, 826362376, 564702334, 997346680, 28091461, 896490626, 721637032, 727686400, 597596027, 106575071, 227353954, 436807996, 216883506, 16602193, 107594004, 717085470, 401943385, 521045022, 329755603, 478400453, 900777445, 408567351, 461645448, 736741871, 688094870, 392445212, 15818091, 693485761, 457199866, 525852815, 663446086, 350230710, 564614568, 365258695, 899570096, 115268466, 23373446, 626889257, 201029688, 593809151, 209296821, 683546724, 441806798, 582735427, 165503059, 349432491, 608113963, 89155276, 257223972, 755937619, 468146834, 891130879, 559848680, 955256365, 150212743, 21154654, 216393473, 869870712, 966971649, 396036872, 438882199, 893253880, 482080474, 76599947, 101981691, 659819252, 344288228, 721577009, 346141186, 440718144, 407091806, 72045011, 140794953, 880697540, 256101396, 642662248, 158194623, 20612763, 698149151, 546523393, 874622556, 635222706, 103282462, 687419952, 882110875, 806343064, 612266978, 710727961, 770874736, 368495772, 519432461, 86654972, 46785081, 439118124, 920832414, 766086435, 447461948, 530187780, 74909762, 308043233, 849135533, 796908853, 6323464, 559074788, 691184827, 293058240, 342539438, 515392013, 488280208, 623640736, 758577556, 416272876, 283474230, 910095262, 929491934, 184520088, 208161803, 204629480, 165987074, 674268174, 621189703, 683606313, 763604799, 226362846, 340851572, 376571778, 908678652, 369595320, 900325672, 705661273, 938912948, 118356004, 929837725, 758953876, 66278946, 840143475, 210952242, 857135585, 699442904, 808165584, 938504473, 136747162, 267249571, 706924604, 296687760, 233265805, 981964657, 148543900, 381375761, 230715307, 410841166, 377216305, 999789369, 217273654, 716495945, 340219124, 230141735, 512629758, 32357747, 262593821, 975059713, 180030216, 405249407, 513771015, 937175650, 703168319, 998890301, 378410994, 857719646, 750016659, 538146897, 225215924, 194754525, 26258728, 245447389, 116796966, 898987005, 958010284, 884606825, 507535540, 489999347, 828935709, 960147880, 958648865, 464544031, 406621312, 465527401, 485198896, 782633052, 93087183, 109289781, 955500397, 999755483, 833005358, 667716067, 448922765, 44764417, 203607173, 857845112, 793446701, 358337580, 240182411, 782819757, 343979028, 893708724, 697901240, 246029911, 260383119, 379189923, 818384565, 415951250, 55403024, 236642534, 54823685, 155390452, 550484091, 624952657, 712330874, 584798868, 228583555, 117443477, 300636603, 348890374, 416788883, 912690717, 182564016, 85290950, 873050419, 398819276, 413087506, 242535092, 441270677, 386370044, 696486353, 720359720, 669547559, 963768256, 966240073, 393329426, 247596250, 973814410, 885969580, 828819050, 567825625, 410886077, 112813902, 251799792, 951988654, 429995443, 238623691, 157714089, 31447113, 207379949, 649002330, 88228111, 887378173, 607379317, 947511678, 708498959, 909253999, 373000307, 395690593, 45845243, 401259589, 728897942, 551430643, 441158562, 9200341, 846711300, 56291451, 316791712, 487255503, 641642951, 889293416, 785675596, 622042303, 86822783, 917440762, 197325066, 66827378, 270834818, 745991675, 859533063, 30763454, 62095, 529704270, 105941722, 472299220, 323609475, 193229246, 427082773, 283848347, 191256301, 679648175, 438679558, 770732853, 640230364, 876454231, 235456366, 255315707, 904319221, 488003281, 67858703, 259321435, 735359273, 289682554, 888188298, 584688986, 225851567, 602224235, 929910643, 586679626, 928061902, 539488199, 283326031, 965546997, 263566560, 676866109, 412755728, 758880039, 613923282, 934063939, 263430447, 834612593, 969959186, 742476002, 615589416, 383558844, 880925460, 882383516, 59925124, 104205219, 775225428, 416746997, 735277108, 271619777, 674436142, 592381611, 71330641, 792241845, 689292205, 620379965, 33345764, 252546858, 183450512, 752029187, 241280944, 851116215, 717641063, 114026138, 485029718, 779096649, 94350877, 787837955, 95255325, 725020300, 178165834, 214319446, 803159344, 214107983, 715747044, 131816814, 285216684, 900495267, 24146378, 371296669, 643959343, 421926689, 235956539, 206748906, 745614880, 33369137, 617632536, 546254540, 359629228, 326927098, 485812582, 788106513, 997798432, 301945763, 966225600, 585200655, 822980154, 377425965, 844613217, 200437936, 382608522, 64996884, 937548873, 552215435, 702498824, 157354919, 838534248, 697868072, 385948967, 930892893, 219853330, 867057840, 613945514, 30684315, 305725687, 422059725, 242321075, 465075024, 999846841, 664555292, 648502311, 53801982, 748490547, 514024335, 904117450, 966725932, 717682132, 920183672, 161417118, 64951783, 623727051, 350962176, 281206876, 700523985, 657587940, 809920521, 910058814, 369952417, 281894198, 160930676, 318255747, 387022658, 316020674, 47698111, 701168524, 129971438, 499036590, 235173190, 170072747, 900430765, 513824524, 955685567, 827608323, 803930273, 898514272, 165374691, 704495323, 332452861, 893407664, 109994983, 700665836, 404632990, 434093997, 268922436, 716968998, 225760907, 574731298, 236437720, 551306349, 333994987, 75231339, 744773600, 492240838, 972873335, 650604530, 703250652, 931900925, 639443122, 409561380, 154419999, 239388733, 671766555, 495136487, 313110632, 299644464, 319704396, 110312044, 655257342, 133645615, 717539208, 719562077, 530138119, 541581302, 686277406, 419101257, 27192544, 75219108, 126666812, 483749558, 614572950, 256885492, 647552043, 31953040, 806821914, 795371207, 773720373, 519204654, 208295383, 232053453, 179266930, 291159475, 1692648, 120940289, 406684235, 373589220, 220873466, 803259944, 173102726, 723993964, 154138308, 833383727, 331872652, 253864520, 739342787, 775884151, 697804700, 115995439, 238461779, 574508344, 710591968, 720053064, 984402190, 347958933, 797697551, 244040434, 743202586, 166918567, 165684811, 658016510, 635938617, 728416749, 278083697, 939414487, 12410475, 191366012, 637410174, 30664317, 460326699, 543464412, 617676770, 17542140, 599099050, 713005699, 836410631, 448261483, 795916402, 851446413, 187678090, 658072931, 773079533, 634222151, 549714565, 464087779, 655718638, 597771257, 211013503, 67872839, 82683107, 631703458, 633090374, 922087227, 155431254, 803057021, 314596889, 972120046, 160849291, 43357648, 550953896, 143316724, 719164637, 307415758, 962052442, 425392197, 922982103, 299317591, 916494766, 763856390, 537581112, 409957935, 609764084, 385722402, 610886830, 648545742, 411794441, 496844057, 950873497, 667534712, 641059086, 593752429, 974347123, 830380815, 204560854, 374047035, 679415838, 815527036, 15336556, 575172026, 256650838, 468521610, 26055675, 317862191, 520540280, 989733402, 65022744, 517333209, 522858586, 891649758, 513142454, 475123766, 950038060, 618431176, 44715453, 83829218, 516223285, 200205989, 963050243, 566841397, 641897798, 628665520, 767544387, 172104378, 859946822, 564686917, 323988932, 331536323, 733221379, 395999586, 581130820, 221029982, 655767073, 890102587, 822176048, 915437319, 344106572, 481191541, 372578728, 872415923, 469372593, 174486980, 654346028, 200321683, 387589304, 344966838, 442130433, 750520706, 61542431, 629024922, 43463561, 448371604, 556330151, 640488789, 189752209, 73077828, 426876297, 883199036, 790775492, 441519415, 730841631, 694058224, 674283096, 750935748, 217802381, 591224987, 490696085, 288973041, 258546546, 848715341, 416033936, 919722015, 931409048, 976716584, 911371611, 58722938, 686627026, 57248062, 88108634, 516732748, 667916519, 149973289, 745774228, 814717454, 992468330, 810643050, 355293669, 585834112, 933761951, 254151353, 58626535, 853468283, 480806736, 599452980, 504283627, 497132052, 450181060, 429343416, 959800936, 115074486, 731340970, 147539206, 671140106, 3579920, 412211975, 524179735, 149050942, 967912822, 587434346, 45502510, 321571909, 836375713, 336576350, 947153073, 762120545, 561946021, 606225029, 865269172, 13572188, 604090007, 753055517, 997074457, 927258655, 650720152, 117761432, 717872117, 731427333, 526465025, 530706388, 168487432, 324584999, 110113554, 993149498, 398105155, 256297114, 803873755, 138895684, 174237741, 468459672, 458197248, 233318214, 860275559, 703840288, 575648561, 121744148, 968123441, 113370124, 654182074, 894153984, 232782718, 722843512, 236421956, 811351095, 328007227, 767538793, 866303945, 386373317, 685976054, 701461779, 200610029, 816076555, 313401987, 992776561, 679670435, 620811197, 434383360, 236427882, 809840983, 821604181, 343007114, 79683863, 77360677, 9417313, 371653034, 135754952, 816031403, 398742213, 636091564, 153249215, 654439706, 440557636, 471074308, 469435745, 573047962, 695494754, 98062090, 534702710, 685861803, 538492159, 286616112, 967377684, 125720783, 505637711, 4189636, 801838010, 622189972, 64430917, 495686629, 806962020, 258067307, 135069631, 702078365, 705627127, 153685378, 921430929, 708969565, 676140594, 771508337, 395865558, 17153163, 453018645, 373041399, 285694459, 959135294, 207026808, 820588975, 467130073, 174658116, 816099811, 56918065, 98139646, 916932702, 253527475, 109683117, 931962739, 532553637, 578692952, 160698230, 368682505, 96500474, 271013035, 274113327, 974106520, 861844629, 868588307, 337910338, 192153163, 565161861, 378493147, 962274264, 656877339, 887589400, 706841777, 129479380, 770927237, 831317622, 674365707, 635199899, 66520542, 109453957, 97630857, 262767827, 208724382, 641279325, 708616758, 350037685, 239275380, 877005511, 704610428, 233183813, 500044933, 770621889, 648374796, 22949999, 43817935, 534112747, 231913445, 488693030, 651900253, 539608263, 440593482, 565437180, 338060031, 69961620, 141896677, 497520855, 819540680, 166438367, 234031241, 527890799, 853792205, 977489352, 225386389, 778621472, 289520837, 952397119, 204437004, 972445826, 207235713, 98730942, 915302330, 561663022, 263169963, 662306352, 649461554, 968580523, 735319566, 183792245, 938703755, 508404935, 712810860, 17240024, 500398758, 260654606, 650953887, 392231749, 502472239, 776804904, 610878197, 310689526, 889300335, 239796608, 996147124, 677118810, 648533616, 934934612, 700858567, 230360420, 536190535, 540461799, 647501096, 790172405, 749037446, 273365364, 769392053, 947035231, 15258676, 219168744, 591731226, 746365420, 109387714, 531312918, 473346250, 549051940, 391239002, 535585969, 677627414, 540227089, 957627867, 81544190, 198139649, 254397269, 500759896, 86091857, 988794317, 331311386, 18712762, 345854343, 583211265, 18674817, 987470967, 909005805, 602325150, 188383650, 853378261, 250659557, 158267854, 405281886, 137057779, 426274412, 290160925, 152121706, 83325232, 667397852, 756481758, 881653300, 278293473, 895104896, 956781280, 428918470, 681247062, 543592015, 527045761, 744947217, 813027334, 618064994, 377272247, 706939059, 322089985, 626761856, 886448004, 518801073, 327734808, 509002975, 463189187, 962194325, 935876052, 523439995, 883707263, 619978402, 530941065, 865515471, 565558713, 44528288, 878382331, 609302675, 659245985, 248512611, 303060574, 832374357, 493339116, 776545208, 599302237, 851972266, 366653286, 732055116, 923127856, 514762514, 421272976, 46259688, 5971891, 356184326, 151297681, 42494016, 399594761, 691716841, 372532371, 784260333, 918023377, 268951604, 906728219, 732765533, 33715132, 786474585, 530858448, 786094510, 324385200, 243714534, 668213384, 951625517, 7469208, 964078202, 788041512, 862112658, 482585685, 241357746, 905205014, 242778590, 354853451, 722305741, 148833018, 413046805, 653368127, 300297849, 971141211, 662726642, 795724875, 602488320, 375285210, 389818047, 648239831, 596990398, 376997372, 110030349, 556399159, 855488777, 741383927, 985980045, 350631334, 839075452, 127035987, 224368831, 759195304, 302354110, 372371559, 282852952, 933577217, 727046708, 180122577, 461801389, 540763511, 538578138, 428076243, 71304943, 670810664, 191367817, 142205264, 621282975, 957872066, 510721870, 942389498, 800123614, 500082777, 209834040, 345440183, 357701824, 848202898, 860422791, 842779062, 404821037, 697045673, 288289487, 576257013, 633198233, 311102851, 628275741, 528783127, 834908304, 974116201, 660711394, 475125963, 662664033, 157659562, 501711622, 252776639, 452795601, 387435643, 98896023, 612854265, 463249899, 125435003, 207197821, 279592894, 89971837, 848851227, 492658342, 488939485, 260817995, 619949716, 111314198, 912171377, 543104942, 917983970, 544821383, 571904067, 540207970, 809030595, 529090872, 744968234, 793948049, 202224123, 20479893, 384574462, 631409163, 288291323, 383617955, 370741778, 620783159, 556298213, 359733329, 850889547, 19121848, 634898686, 182926309, 115026212, 200785991, 90628692, 532433327, 522033535, 446180928, 340552189, 972123546, 951082014, 465467490, 49759961, 796559427, 302414561, 227298764, 30274749, 227383396, 928937774, 634466972, 389534178, 215530561, 876888491, 574246721, 386861180, 773229541, 171753013, 147310807, 415644859, 336477666, 742095065, 173095393, 953979282, 83662953, 214168741, 234140442, 225845230, 101587422, 934143088, 910552674, 335332223, 444573705, 376788358, 348440989, 350983473, 325551916, 18528910, 961397023, 810752889, 611869686, 22692405, 540104699, 626007032, 643915014, 124664529, 882452283, 624604139, 455107539, 381239040, 86093749, 875513307, 658611396, 455723003, 440406983, 114298646, 297233398, 640765378, 962181399, 723277796, 735069752, 418619503, 642119337, 271920087, 325617558, 127353897, 442197530, 929618904, 746747656, 248601335, 291794247, 161682519, 581775848, 207697382, 867620358, 399120855, 18392124, 572596927, 419123995, 818361590, 731870144, 928540672, 550680616, 604374663, 745814746, 807899937, 603273736, 180054063, 194744393, 559257805, 771344026, 27263041, 5773085, 522943085, 853456879, 569171383, 168520787, 414562080, 302782640, 547155770, 830781194, 232454301, 703281297, 517082985, 782549374, 754020502, 109338120, 681305825, 603977415, 911276663, 998260453, 415154419, 215503609, 353575512, 373119659, 953551245, 717356849, 247073511, 166573609, 754833061, 787813237, 621801680, 704068639, 423640993, 898662789, 837015173, 842459055, 675768423, 700343294, 441381634, 272156625, 65459161, 524598035, 809484348, 746326835, 570668336, 497806006, 953313438, 747586439, 15554519, 759621927, 378206494, 954192775, 710099212, 109498701, 48959136, 804427273, 637273584, 985870848, 94242207, 544325700, 385525126, 33870598, 939214498, 295621434, 141782875, 174161623, 106780598, 750518573, 700687137, 990351827, 423288251, 995698866, 252862781, 349809396, 412128982, 518174056, 984696853, 410672713, 95851600, 166603153, 896648726, 169992710, 635025781, 580556995, 733947381, 226280283, 392881887, 132221739, 228150172, 781731782, 100177147, 520626725, 521333157, 308020906, 505296103, 439032392, 664765555, 635729393, 815479284, 84689203, 895370601, 261795972, 773207412, 127653735, 150382680, 571102031, 350445442, 146538607, 718603611, 405804779, 519686112, 496917137, 284467255, 536752858, 623864512, 684754769, 765250762, 484620465, 379590549, 225867450, 502128249, 936230196, 437853023, 14759566, 50739716, 869099994, 426120738, 853948796, 909199045, 132775064, 598868505, 33935724, 45135363, 448848337, 518547061, 155532172, 339436574, 673846453, 372055225, 115961942, 67795545, 859804038, 2914397, 262458794, 8973124, 467428257, 218887364, 87402064, 281536757, 922973777, 390695456, 55196852, 989974059, 884452438, 467661184, 62180044, 821620126, 643605427, 39505577, 120889682, 389329796, 893898777, 504633791, 256975800, 571351530, 486504077, 434409955, 602802740, 104481316, 634857970, 982912457, 296446887, 790943898, 520031479, 874993258, 748877550, 108360437, 960622292, 877263744, 458536926, 216927312, 920388565, 84939992, 660600171, 673714661, 590050480, 167999957, 840620036, 242100545, 200075493, 324874815, 25750015, 321182967, 680684322, 955682927, 843541486, 182028144, 107922181, 47636715, 341796080, 45513841, 302815099, 36355394, 712713822, 701370719, 352807009, 700774041, 905233453, 638487824, 911532897, 517971230, 872953480, 921308437, 982982005, 776531143, 474190503, 43088286, 412551959, 368802629, 36309682, 229710761, 144702026, 938658384, 628633524, 920383389, 865066326, 532203240, 606137057, 894960906, 919246588, 867745108, 923879770, 242319513, 770458751, 13180868, 292337249, 176659055, 520084501, 76610005, 713261948, 839526049, 155514881, 508563360, 312207938, 162018983, 855183560, 569254126, 754755923, 354401235, 838116346, 11501774, 82845720, 40569320, 259185330, 115393513, 976989495, 688663259, 547896661, 517806175, 25612725, 151623069, 206702501, 631016, 583331897, 580997277, 583173649, 439601751, 750444084, 985129243, 905412926, 269250267, 207357336, 328274416, 139838429, 813709667, 459760314, 433753820, 55753139, 86528692, 213024625, 293626615, 315727764, 853229985, 399742699, 661376915, 149067483, 444882796, 197645904, 205763874, 203911555, 99564610, 83596434, 166535327, 767600534, 754522977, 106179120, 581856404, 772218117, 604580000, 940405361, 612527871, 315820625, 121579855, 667994718, 773533533, 934519832, 470573856, 809185095, 727197751, 664200109, 667966126, 568241638, 366402761, 969205614, 611560848, 674932435, 939552967, 154635533, 739018796, 587145042, 387213538, 623870031, 540600619, 480883870, 472239564, 119512886, 485751113, 465729060, 875799613, 367429445, 618743126, 823526045, 851578745, 24966279, 336537667, 706587535, 100644124, 511687580, 55041864, 739147731, 511900004, 456560007, 476119288, 171682812, 538788085, 812092111, 890059270, 487165849, 519653348, 404251738, 991993024, 298163231, 13381497, 720080969, 650325040, 262952176, 666754434, 382435637, 754939427, 859797501, 3450986, 584323664, 93691916, 698351039, 768349891, 307321675, 677943478, 706077039, 724232087, 927738731, 16772987, 279273725, 754684805, 182606160, 764848843, 122908480, 499211730, 40802466, 107681886, 741904672, 882371397, 514803378, 797344380, 933811856, 26564668, 104651175, 242030014, 83236770, 784424919, 575237972, 930578857, 631767396, 848374782, 921659778, 972315784, 570781652, 577633569, 462384024, 794851088, 128977030, 190581483, 474880931, 424281842, 823813948, 298952555, 990725665, 974467651, 765595382, 440134671, 185983177, 446427361, 27309508, 42427575, 721696355, 806267032, 555999621, 882005557, 66739149, 167435114, 291548833, 708426064, 50254113, 495410126, 864452271, 374188824, 423252593, 13478630, 708240897, 400557475, 957431740, 980121116, 298823992, 12715754, 520059113, 465973954, 163236735, 697502498, 558408507, 974758733, 48775437, 727192403, 645678840, 385235003, 4207951, 201844575, 410265264, 38808145, 230631070, 418263404, 734327458, 274573464, 507337140, 59195812, 560444355, 530405907, 150827639, 974122573, 800590913, 916647077, 915043882, 743159744, 255592274, 754635453, 805630051, 604867086, 824290005, 848504624, 507036928, 295335816, 13075464, 442877113, 860859376, 87571464, 614756201, 654874955, 296647730, 330317428, 447546391, 240841940, 917561813, 39173819, 440759722, 244996468, 717476243, 466941991, 403374278, 125721828, 940646782, 2771267, 430724200, 376718918, 978286458, 805966613, 57854630, 38049479, 692375930, 923782673, 338706161, 118681139, 766826348, 128473087, 508762173, 851605686, 685537798, 147998978, 729549970, 743430466, 811639675, 38343962, 554472294, 22726004, 767828242, 864193394, 719256143, 630941042, 959712740, 689829629, 663169753, 976055049, 6411981, 815423823, 204891470, 237672109, 624638824, 49599420, 720906516, 586385591, 254910559, 243134646, 675505606, 224133211, 201074824, 583450300, 293973251, 634072549, 909213594, 31834846, 721084624, 279255115, 795854177, 408689307, 712224642, 301988796, 646828644, 273980587, 549302337, 181452251, 84209088, 393820370, 169258757, 303406629, 16455162, 189793827, 962956719, 99809898, 399686869, 682760888, 959456584, 376595096, 386259147, 818977689, 571880706, 967509919, 9656617, 619565636, 723549684, 296643362, 27420352, 477568054, 27089344, 888877766, 771513514, 270130629, 631841879, 821827763, 185624126, 789911967, 235495389, 675842016, 962561540, 594122326, 190983724, 272786504, 359522956, 544568369, 723653844, 301123489, 3391902, 896822165, 101298718, 536834852, 549503250, 414864350, 915714483, 583152181, 844846010, 945325538, 54586128, 644373993, 252721698, 895257018, 929928528, 734049291, 775646771, 772024615, 962299940, 568833414, 429493199, 777363727, 318995115, 991833778, 692953825, 78976349, 83414683, 737220922, 313088063, 839929174, 486229181, 964817985, 997726848, 221343479, 613378555, 959857978, 450609772, 397908156, 235967714, 92472577, 854739016, 258304980, 616745838, 25880466, 875469948, 330189502, 28826591, 859265685, 790738357, 224374315, 739738218, 337179730, 288180678, 893340118, 811428308, 622431730, 117824652, 946880788, 382804382, 606376827, 497608754, 956924002, 838066047, 480642566, 714152561, 472277862, 739425943, 252447467, 273352581, 392550586, 58224376, 609684060, 500159907, 323085437, 810700438, 616341896, 708982533, 205952805, 83331062, 70657948, 616037293, 680140947, 398473356, 910187729, 798032546, 600491311, 325653815, 508399479, 467867142, 912958895, 444034426, 849132265, 479952766, 396496915, 438210139, 417497003, 741157365, 803810323, 903206702, 226830699, 149982726, 228117709, 194449452, 578703014, 429991377, 485166070, 174825868, 448943614, 978208148, 794867083, 312466526, 437486891, 28311458, 390678496, 48228664, 369564977, 378345374, 852652404, 795472694, 254888659, 144819470, 34369323, 404746155, 339194706, 100927851, 225232967, 236658409, 423613386, 535929319, 192879895, 729641595, 330148967, 559264888, 55894912, 375104288, 781557637, 462469551, 860493165, 812339574, 127895771, 155940613, 513655291, 393318504, 690107453, 261634364, 592713255, 711861878, 160649260, 813977975, 175912468, 723070330, 557493855, 188881327, 233128558, 125474533, 500415080, 557308629, 319609604, 474177763, 837350110, 172979708, 398082668, 404351745, 468023855, 490711822, 38343454, 988659137, 566835158, 731272, 766695012, 267424833, 762279229, 813718573, 330249710, 561310467, 876571540, 937307434, 414524789, 786974281, 411760156, 220189502, 136789914, 503155886, 832960191, 224983246, 958693440, 524599075, 309303236, 240817695, 231485602, 632759283, 286375247, 136402647, 868245926, 598949857, 703764031, 204466344, 916492378, 619647369, 862452972, 454371519, 949140036, 123440022, 907203233, 668227278, 38983703, 705378483, 969951223, 602388147, 526519302, 908212021, 795427138, 817980840, 463443714, 505818963, 462090219, 248850929, 741133280, 675775151, 149202457, 143239349, 598905135, 484996092, 740012040, 551099100, 107303203, 924725390, 810133601, 848001608, 78133944, 26322065, 53991450, 529780998, 667905129, 970039245, 93523710, 379535003, 5876898, 406189218, 449203011, 320950531, 929103054, 183627995, 99769333, 934800582, 334700784, 27471546, 77938819, 46535936, 825122086, 614377828, 186141636, 47534246, 273403255, 44218599, 681423515, 264789443, 3064615, 43830200, 56605810, 883604893, 131664995, 716623405, 368475922, 5426467, 400352212, 626530554, 68962489, 229510199, 839559131, 206964191, 752374097, 88281032, 470273306, 45439378, 182381244, 720825652, 224102665, 656018600, 635636013, 578962224, 894529710, 602951739, 109524293, 349288325, 852820523, 42428779, 174895477, 51374278, 34355106, 348302841, 307363202, 654565237, 381071563, 700253349, 900131394, 967442270, 414913975, 771950568, 895919754, 980653220, 243051796, 463054314, 665953075, 36246411, 571635471, 558201816, 820580371, 667760903, 154641347, 526496824, 967199048, 104632726, 248428786, 595088034, 792745355, 694207644, 703683847, 906222321, 507814418, 906595848, 387999273, 900571310, 803409716, 773880246, 184011301, 836264779, 499955776, 985576274, 333107565, 676084677, 674135091, 772570395, 408374905, 275508793, 305617304, 861522963, 702055899, 722378068, 611976171, 491343584, 260121637, 474428243, 330105481, 521422361, 742142579, 823516794, 652353637, 869626328, 208789711, 847438720, 447051327, 813521769, 852418908, 513542334, 264143133, 193238074, 54654192, 680243099, 373716007, 423450202, 559944961, 803894440, 675219104, 391606617, 472662037, 663224946, 375640733, 430261901, 211320864, 467385581, 176353451, 37423859, 312932050, 987211136, 9157107, 319594892, 674284823, 555420943, 406085594, 479147402, 640319199, 33877880, 104869875, 151503512, 261511789, 332227328, 971575061, 755867218, 740897546, 695329503, 777686686, 51403991, 809547864, 97295649, 922906706, 84355001, 551331579, 119367586, 414026994, 787110250, 912869903, 864544987, 939928507, 752371653, 198028251, 644566825, 771980719, 209927646, 214403972, 517618356, 262455691, 153109485, 58296204, 29445130, 431334037, 261819495, 483817487, 997821726, 439288691, 739163690, 785153624, 14822718, 673419645, 132858461, 62453309, 968089536, 446973541, 648389267, 175909639, 288611205, 489214345, 519431658, 145900904, 374422233, 882880598, 314097660, 416664690, 250325906, 528125713, 166326716, 851937978, 160603319, 558648765, 863350058, 770420257, 172039634, 823129588, 710007646, 470684721, 152706641, 817940668, 816097882, 987110869, 838770813, 755248205, 871129880, 18820740, 978468898, 726645574, 642349358, 851997630, 408686983, 512159673, 893350340, 649812065, 16024266, 383152854, 807366359, 615218061, 913352489, 805378678, 487877416, 560814107, 640082931, 495431516, 445169104, 392176732, 617801549, 754301660, 298315708, 172047688, 823503324, 835314555, 884088720, 421367188, 951083413, 593052397, 834511216, 365550764, 178160990, 327371451, 746837717, 856397456, 327246272, 835236442, 535517058, 914121780, 75173977, 274263202, 84613571, 511593408, 935763643, 107428494, 922521935, 164816618, 606101327, 292192137, 227792576, 763966161, 194303471, 503521334, 499261841, 835066359, 194148119, 862497261, 455093970, 758535475, 902221198, 552988804, 478399231, 53309053, 516943296, 703259378, 919232382, 211991799, 874545470, 865731441, 53074040, 634301707, 991730556, 457003668, 177174071, 508231093, 167709623, 473486979, 717121079, 314431483, 406524119, 221427728, 774097775, 289135519, 928981930, 354959726, 629111898, 6549975, 473661063, 773357804, 883128488, 293526028, 156073374, 742634066, 983374633, 866414214, 247307807, 363218232, 983918068, 204355314, 498170262, 443934632, 803511404, 861832078, 537542732, 813371190, 407788028, 237420215, 727783100, 154825308, 582335448, 506653594, 889995134, 167880264, 725100292, 965562894, 801498579, 118072072, 264496833, 373635698, 696095649, 629043988, 574156958, 391868374, 512988166, 45915440, 221142488, 523862530, 605313700, 517825558, 675943229, 152274550, 685911566, 933178661, 419672491, 722648236, 184989042, 457574862, 153653922, 143132572, 991387932, 522726436, 910413066, 542313842, 520190702, 152985418, 915469167, 142297084, 781820943, 924797930, 758663857, 875196332, 609083412, 388189497, 810194585, 717768058, 693534644, 618207629, 724093256, 901536385, 40979282, 140476513, 127632923, 272606120, 135841948, 226103164, 719158742, 173894328, 233706243, 685700586, 520467486, 344460919, 556782103, 814457290, 313871123, 888550392, 52972389, 685289306, 106077904, 872063740, 391285557, 155098026, 708210851, 668643249, 944337699, 568694869, 733432898, 844835456, 17995809, 640933571, 969134202, 669304948, 721517771, 433167790, 551005980, 575815134, 249691602, 134721295, 386798245, 809900613, 614797499, 241966765, 189792897, 557355666, 806532323, 607821845, 387343922, 930269446, 852458235, 661581917, 603463451, 879896500, 166329090, 275729413, 294197253, 542229112, 658673704, 221093689, 888333459, 562398850, 5451401, 241151352, 492792559, 147736873, 764614603, 119525946, 468113895, 466184936, 640156584, 802076899, 847694056, 662503555, 776085372, 891421757, 372911721, 296047394, 507004215, 805904603, 583634042, 625091600, 583522877, 615330592, 217832278, 519222541, 562188134, 531444810, 236218943, 639260940, 657924790, 468625106, 764589559, 226184259, 164177544, 720009731, 536177125, 969396005, 717167361, 992092704, 765032020, 802389634, 222658996, 589045842, 691298071, 391385768, 436852464, 872342688, 907218667, 921827908, 360506443, 279240396, 949374180, 537743143, 846254666, 400936289, 253957913, 343501212, 237303948, 82089102, 421009645, 917219255, 120067291, 364826286, 950252697, 475636923, 721048051, 170832861, 893920528, 495438126, 506358244, 55589003, 103359522, 653659436, 968345975, 865895845, 353500729, 386580519, 875529667, 810183697, 560880374, 600971835, 897786723, 477687077, 529660234, 808528715, 453087890, 272891436, 658118778, 513559751, 293633124, 740208614, 571481302, 702794359, 886162107, 972473326, 165195313, 58493315, 990966743, 624659366, 149711529, 486634870, 481572836, 863962881, 138675525, 823547020, 249720633, 153443669, 220923211, 184504025, 87263341, 756713992, 983476516, 575203042, 952463354, 572172373, 131339992, 573050262, 373424239, 710370975, 114375477, 451617721, 388768300, 726440950, 908654551, 662815480, 572944434, 211492224, 822237838, 392554576, 340334946, 679452258, 73462167, 942143327, 414839314, 131224886, 945424518, 779766171, 403760238, 2214362, 813944075, 850576058, 12507756, 408081119, 554685939, 301281716, 134239486, 330801678, 574739707, 161107119, 573143265, 864176582, 458549617, 882978541, 123950067, 381059128, 49570501, 575807917, 17055734, 376506640, 828496312, 949231089, 290649114, 467018781, 519978158, 422231000, 497059672, 785045186, 390625348, 233711533, 579038522, 567094679, 406861317, 655480287, 452412403, 561057296, 814437886, 557867252, 600731889, 233011908, 706697881, 714332380, 39349059, 870883921, 725706493, 279810377, 754665531, 217953784, 10541414, 615705449, 234319913, 933661788, 185156819, 167324028, 20635379, 595632650, 495464884, 670353875, 690355235, 459327104, 909111005, 235496122, 932183553, 803242997, 323263639, 30001235, 125261239, 83672877, 349723341, 952995996, 551057720, 356357924, 285272045, 869182211, 7465746, 417652268, 540926088, 349034040, 54512142, 290864543, 313356144, 500041373, 429308799, 350079905, 921176892, 926557438, 235471797, 387446772, 2648570, 314983629, 164148259, 776371215, 977150873, 1030862, 226145358, 255932901, 699556602, 988071018, 128995796, 620732011, 682275013, 486297118, 31946855, 846237275, 365229878, 100281530, 953375758, 810884725, 878352241, 461038433, 959155394, 611147623, 558023822, 866871160, 914114780, 677263116, 463947179, 737662093, 488152025, 263814168, 683396794, 587770410, 930074291, 398214959, 902949011, 166363681, 557761866, 83846570, 840919204, 92867890, 685773184, 580463657, 354526631, 972054683, 875757982, 878888169, 550395596, 316986065, 719817097, 986833114, 605110575, 490634088, 836276639, 902960667, 264851516, 599572082, 760961260, 799599764, 444266472, 153609009, 769432782, 287080547, 490106168, 290526795, 283030118, 994071285, 153000607, 803456951, 651164157, 838983627, 356822746, 421449130, 200491667, 653282079, 874001000, 407646262, 35581162, 575793348, 100595303, 111727961, 523070604, 583577187, 646147114, 231232692, 668271826, 416813341, 442288808, 185694120, 855968201, 468732441, 765493459, 400226183, 728669770, 700487471, 432299704, 875207926, 919179912, 939234185, 256522497, 59995355, 71639188, 39053533, 705523318, 604930838, 664027023, 157359387, 588663870, 634006349, 545486437, 183778137, 297371343, 494011502, 529138908, 313717789, 362619608, 360566710, 908202470, 499255329, 102241499, 122089882, 513590344, 381348023, 703065747, 951559121, 32815574, 819531192, 951697386, 232032233, 893243559, 219016734, 532013202, 476721528, 667304609, 611290020, 136488407, 627520922, 196609868, 269029408, 530132081, 159851947, 13340766, 331967331, 176489577, 462517845, 500276202, 657845482, 784333986, 333257364, 370515898, 952508089, 232366841, 354453767, 268412933, 582769746, 257721448, 567493382, 176110931, 839295192, 454717413, 983489137, 986549876, 280186698, 9959805, 88500864, 97549703, 409132066, 935989479, 255889591, 30694673, 247786677, 661875363, 57452946, 361557531, 690435069, 36758805, 682990854, 338595068, 997088689, 724279216, 755610582, 360727203, 961063451, 335208127, 953183773, 992103621, 465786495, 28658946, 202068086, 487384017, 330430138, 866166914, 962060973, 161899848, 820582720, 991537534, 818302904, 965400843, 134909247, 387549460, 780558894, 818477519, 495884687, 609311032, 926643028, 443739688, 640805269, 361990098, 990942805, 57621359, 674470850, 875535602, 792388177, 151690439, 858824872, 808259021, 573875328, 945644136, 873447580, 325881202, 579071608, 277642919, 16749947, 679209259, 326283542, 273341900, 690695009, 78432125, 24777153, 566542593, 706305131, 542034302, 59827022, 696590866, 573980724, 300561509, 604702157, 250747894, 993982733, 311490687, 850953648, 987950135, 953683821, 210061811, 900963678, 114854407, 598632130, 822514178, 745077812, 998229246, 978112508, 345336580, 115200508, 667938798, 306036219, 628753262, 312778972, 994899683, 697806457, 48311313, 286688615, 33928900, 783459381, 334505751, 723583974, 411611505, 740590376, 387709424, 768565345, 61497762, 138984998, 327953993, 74587524, 614680168, 328114243, 602108550, 839915595, 167976053, 815034407, 51305363, 652044383, 968080, 238403305, 486937439, 707026101, 336431182, 650809445, 38706346, 500087773, 365441979, 384891192, 710812062, 505124909, 195149635, 210746393, 510476947, 503380180, 653665168, 791933809, 925511358, 4409648, 794661675, 832332459, 478041795, 88409110, 345812730, 701018628, 104666105, 702443110, 196034842, 842449953, 709536820, 728652040, 630903226, 953673320, 982127639, 228444992, 736460362, 932077647, 368029051, 578474098, 386854193, 642649806, 204408806, 231954501, 309155292, 835526868, 695787326, 458736527, 65432707, 552805039, 289046351, 85702152, 275336156, 153988012, 892342259, 597568718, 195414197, 961307133, 304763557, 412828809, 827471189, 305623995, 412640240, 870733799, 141608933, 966115170, 723308220, 8000293, 551131485, 49894856, 232685045, 253966556, 600282775, 645965895, 194679256, 881914870, 662391198, 915805796, 583242296, 844476861, 342755642, 421052635, 961944389, 713862950, 34888655, 496726973, 86543671, 475730759, 445266056, 400912607, 255154522, 972714233, 650641803, 776697037, 32999490, 262027481, 771537048, 901933662, 699915045, 978317170, 452711187, 600608528, 549396078, 277656402, 497078618, 157417103, 283367290, 283323902, 911366354, 274210543, 337341758, 459863222, 533216687, 923401370, 81361870, 24244346, 73404128, 678368116, 686498559, 728470171, 552727994, 366364796, 860148539, 351918939, 134536243, 540860198, 178322080, 8528098, 548873273, 424224954, 243715711, 244216592, 244859802, 979686560, 782168261, 571599549, 15499972, 283486909, 882989248, 554937301, 189412456, 13792086, 606128896, 11438316, 200202283, 902788470, 660188382, 973960192, 632503797, 397735328, 877404459, 135569933, 342127742, 72465329, 291158767, 586963052, 773583858, 620188661, 124823334, 980923337, 23313582, 34213660, 462179334, 893985868, 398703282, 88112739, 32044915, 308785434, 443918175, 632899813, 393325940, 362578749, 312193838, 955504824, 581291307, 359276306, 334963072, 68949621, 516632930, 202272995, 57479208, 614385586, 321105169, 319981771, 249038849, 104395925, 557845514, 825205583, 46060764, 239209568, 624157787, 864470114, 674587036, 381839143, 180811385, 967011777, 832427545, 140069119, 594781825, 860778296, 269975645, 903329965, 8383153, 225941174, 266978268, 360153424, 909367099, 133274754, 425784018, 855207186, 715822532, 92773578, 232035342, 425236714, 528550245, 979653023, 791539205, 120961318, 277689991, 521911374, 279444469, 17329292, 284050131, 952641624, 778960096, 443921325, 176526263, 406927788, 185685945, 904159366, 23511148, 261294316, 568701907, 164934037, 977654524, 113229493, 321415384, 385665803, 598013211, 235204400, 497657989, 709347396, 50932509, 621433781, 335535429, 802052073, 747893520, 515734590, 849275330, 862549780, 977226341, 644646922, 465284311, 921765943, 503240160, 838554450, 284965289, 915447327, 112535653, 337285578, 334425990, 422855962, 190395298, 740831526, 207095455, 431415117, 347706906, 152726169, 259460300, 186981754, 698316682, 911225091, 839675804, 842930210, 149676427, 619211398, 349705117, 701615924, 598936444, 910959735, 409719743, 166341916, 515239436, 83471587, 159988624, 130067718, 958327704, 916167792, 536000015, 160878486, 546335419, 748509618, 988339450, 358953489, 970491344, 230239602, 697367324, 613570475, 297005053, 438754589, 504449520, 45881122, 965887716, 17812571, 10706314, 807961253, 8286610, 679455907, 795172933, 880181515, 228730271, 690211173, 69395992, 825985543, 426447820, 617951567, 54864998, 294953601, 802359876, 964711221, 48935380, 163591073, 814156923, 430270980, 535208434, 319448247, 703444347, 203003034, 598944671, 732243238, 790991413, 110577466, 216654716, 615713306, 130379961, 441240031, 968401670, 901474630, 989263582, 472424633, 855126524, 115779634, 833429284, 578545293, 669735696, 196214608, 344463742, 713152402, 141653639, 540263699, 49847288, 225356677, 517038768, 265272253, 485826901, 385698441, 78637012, 435881804, 702624894, 979740406, 733794509, 934777284, 972637845, 436987089, 950248234, 411297759, 196212791, 17600405, 206974420, 382835321, 985273426, 894998916, 410039289, 234515662, 543900947, 730578523, 525320086, 25140190, 114647366, 465384886, 189219632, 987876400, 574067046, 635994968, 235334265, 779810947, 801243602, 513249549, 329824085, 56620550, 137498635, 579771423, 917493833, 618147880, 38889122, 963450198, 909449791, 135717368, 35481530, 207625770, 624038195, 278210574, 133453635, 384780352, 321958214, 858518622, 271100031, 799452076, 52812273, 324024919, 397548046, 90868016, 905654210, 417914904, 580314610, 152805121, 804977457, 276400221, 986405760, 495284860, 329672825, 500427594, 533910443, 310510580, 954581228, 22128268, 899111605, 135886386, 584272180, 342427714, 438270630, 834972006, 996449356, 957783813, 319785483, 548033334, 822946061, 149635550, 435988658, 745005825, 153493788, 832982345, 102829414, 721904344, 187075493, 422623963, 319594692, 62523796, 180719275, 760473522, 337574757, 614929869, 247428188, 566076695, 140247443, 145048758, 505717505, 61509100, 821301261, 97268299, 500352343, 492861070, 304003787, 880642306, 623874031, 695842424, 961882378, 477549544, 34112772, 183445328, 668032203, 745335278, 924289709, 256113529, 199957678, 642698737, 813485959, 107702994, 903956160, 998695776, 961384526, 163595137, 405757197, 661150918, 344456037, 833053150, 396163013, 657909911, 808566769, 848554338, 249874226, 784060979, 608425694, 668774080, 984648974, 881861112, 239526650, 896291614, 520636148, 805118615, 657449113, 691588145, 694112366, 199531486, 761811006, 778417660, 211198332, 974113545, 347810442, 111139871, 95576649, 464491743, 558415785, 180291961, 825672554, 669697102, 228690044, 905894303, 219063669, 55986663, 25056559, 958103247, 303144658, 838836553, 642974475, 748491900, 172211012, 142338022, 444921512, 804350519, 425437841, 238438580, 617339678, 797012611, 629465460, 323067475, 199762682, 816683353, 100588119, 234112303, 76194057, 698308860, 859391015, 224501511, 618707225, 233736768, 194603656, 102627571, 232157042, 878682709, 564235135, 878015826, 526805527, 521261939, 68523114, 75187929, 911497469, 645165869, 415148533, 128549321, 305951590, 51960225, 427311013, 361054583, 63719395, 633645407, 239047431, 882818539, 56349768, 994297723, 745974703, 399801578, 293370896, 676108159, 465190966, 596886834, 713181157, 10395088, 218116302, 841684185, 990154913, 808931109, 362646549, 74181222, 10486737, 302103287, 542520988, 880575713, 711364535, 470873291, 38823005, 854676487, 285101141, 165021760, 742309552, 494214063, 225523525, 725572862, 934243362, 303982918, 394321745, 229629745, 593065075, 604021244, 895997221, 974691693, 523928606, 131257618, 717861064, 468941329, 792625911, 562719431, 799837028, 76047663, 156999155, 762634132, 219114901, 130900501, 584640271, 221527585, 932627862, 957582695, 330362288, 399045144, 11410231, 785946263, 942657737, 111245722, 458782212, 853014896, 375210043, 687172676, 541574732, 171982653, 596966812, 492934654, 151476685, 741560109, 713236878, 462118438, 501365730, 485062799, 876316145, 193373623, 959302945, 34419436, 221784316, 882463650, 935811919, 312118591, 277339683, 250402383, 195713482, 764111815, 971537525, 844977232, 229106098, 914708288, 21722029, 197327848, 993117276, 452556780, 666012928, 160383720, 300596649, 626560321, 785483409, 551575543, 895297505, 979944822, 266306122, 741910753, 494625463, 882223645, 6334225, 585917760, 710628264, 484465402, 810450866, 731210768, 506336176, 994599693, 291989536, 307566304, 605198243, 256973501, 853240483, 744536030, 416528551, 233978809, 368761079, 275686806, 265928218, 934007455, 144843056, 596278464, 394677271, 739986182, 622087892, 232153455, 187232014, 934347149, 661801406, 388989284, 362740420, 538143881, 209566708, 105736727, 207797216, 545344397, 902236203, 746977415, 748829974, 812120589, 600900344, 719117857, 778830922, 46662220, 393343939, 35157046, 943955093, 246201254, 248657021, 984484067, 188951666, 614027966, 562224433, 357425511, 675077503, 923073807, 408053788, 753418993, 632177733, 573954431, 903812453, 394580153, 60000673, 617323845, 176190192, 992106337, 284698325, 598400070, 573791993, 312934765, 274016175, 852406066, 706844490, 195703995, 211847647, 861419532, 852538857, 397093815, 220838630, 83917530, 476581938, 969164155, 856222143, 695231926, 594688964, 989821485, 501506403, 613120528, 184914477, 838614813, 580972552, 816048153, 168984349, 756310519, 792810181, 118611702, 350314077, 131009130, 763116935, 165367774, 82917328, 735574968, 808157566, 931132809, 243761308, 494434060, 653726975, 359579715, 213963492, 708855687, 269185013, 210217674, 870503657, 997368043, 618407816, 746739468, 482316078, 391552713, 739135513, 34919476, 311576394, 958711120, 779875245, 531523660, 994460714, 449243350, 230105703, 806790501, 284878102, 414780661, 57912935, 956052504, 976670751, 765212443, 783596418, 687476952, 184686391, 476460323, 939840591, 17725973, 833462842, 568880404, 471850675, 978752209, 65146703, 452583444, 789300455, 112612724, 302167051, 785136199, 475714001, 487125226, 517419337, 462969636, 106039490, 727366029, 503144944, 596550547, 374061174, 228824137, 329481263, 66791757, 324949860, 977387877, 771218402, 659499517, 957598236, 687356448, 245115882, 484488978, 781381531, 999443037, 350003572, 423313815, 518943780, 15223719, 909807276, 789481539, 828477831, 4748916, 172347842, 552759429, 881118873, 688619723, 299942928, 398178620, 140943694, 937783259, 331005843, 16065655, 476036155, 130518490, 717744652, 307632277, 518218459, 779426351, 443655244, 354922574, 712444897, 868620869, 395797088, 804495381, 401484944, 617508474, 321532339, 849073481, 445906662, 557438792, 767583311, 328428414, 597408754, 964439692, 52287406, 578667147, 784546224, 532297729, 711732566, 614508172, 976555236, 95100367, 497919928, 445795784, 246541574, 412713706, 258177891, 425696915, 619037118, 335074837, 119704927, 930657694, 48683797, 788501798, 209402888, 729326548, 925636142, 775323283, 561443535, 583534607, 998020233, 463067092, 174501860, 774078649, 198866986, 293304753, 921084612, 416045979, 56597888, 351477300, 638245241, 529249899, 68092518, 277381178, 676580854, 430481301, 189049489, 149722221, 188751050, 661652534, 744678413, 136230450, 852320474, 71682476, 277948733, 454107672, 627575627, 755780721, 372243032, 464697561, 993140020, 351065297, 340884434, 867408818, 97428623, 541239666, 969215205, 695917151, 579113610, 463504276, 140542219, 603349209, 416874143, 966801842, 8430680, 146336652, 972654598, 166718980, 758533914, 413227647, 173562643, 149613571, 116490176, 652074682, 172285975, 114701189, 598706066, 841981011, 789341049, 446779092, 39873109, 111814207, 292417075, 989340416, 751179686, 36751795, 691397239, 770885227, 394900078, 820751137, 384235177, 211112556, 232777005, 698014151, 811716171, 310244959, 181875351, 754255583, 571560044, 358691320, 512749239, 42132198, 675239621, 684509557, 902882538, 721390037, 33385425, 876135741, 813089673, 782765150, 540148873, 422345268, 893691658, 576869865, 972252608, 500510126, 671598983, 139123889, 785838650, 379374873, 716035110, 872044039, 484066807, 989612403, 461694203, 775602517, 218838353, 875792058, 33867579, 933397012, 522608098, 216309358, 329121625, 177106220, 637802175, 350247683, 844547807, 940709000, 346048746, 290250106, 968866774, 161597607, 768195103, 58505166, 32900023, 338375820, 556421718, 76248023, 41995721, 549987599, 244399892, 849274142, 595939651, 945344988, 598166365, 36333655, 639618451, 291657944, 648687969, 665108397, 533410149, 358540868, 953573587, 23654932, 385598096, 511558822, 635878929, 92669199, 338239109, 1968200, 324219589, 460225572, 83797323, 399477579, 767484235, 72943413, 817172043, 622088648, 297014300, 559777741, 400733495, 567381573, 316822394, 670337563, 440849889, 424316492, 928735702, 11135142, 736166633, 226935708, 511299781, 869028841, 76386821, 185044397, 203840501, 849568548, 929061039, 397506720, 917668881, 707705820, 94020547, 720205535, 116343383, 760546644, 840650871, 269058338, 676549444, 305519727, 81283930, 44599886, 982109252, 218523367, 509773021, 17601199, 61019207, 521169580, 881984673, 252756814, 843069783, 413969701, 392919285, 569085672, 543023698, 437063203, 749546438, 165615908, 303223088, 450476051, 833393957, 540585510, 61751110, 523868793, 101540208, 309965550, 260885279, 690068322, 339324520, 2536007, 836162524, 286481832, 756299103, 985098606, 838212743, 86172744, 460877868, 838240924, 151361892, 155831196, 339316299, 40126174, 808510734, 967054151, 169759797, 425259750, 483503932, 110076694, 726671125, 11128247, 939467108, 676770720, 477989613, 108746709, 409692825, 161429, 704745446, 576604155, 396723152, 740711235, 208780959, 189806806, 781194653, 357590757, 245664726, 663954754, 884178372, 673536581, 439474818, 241494156, 590440258, 730820555, 849377991, 610274520, 739842370, 188662207, 21633954, 21204918, 792809071, 597384884, 838003, 692051821, 598490309, 47527231, 451166172, 938191459, 217038708, 251302718, 481610465, 329366318, 653318915, 796758862, 849401800, 686450842, 746104860, 316156443, 663285112, 887850459, 726480935, 304684884, 5431285, 816906899, 944450200, 670917006, 840235495, 802749470, 243580012, 611425416, 297842755, 556869656, 540460344, 709202410, 825864194, 675565996, 359272856, 123476329, 957035200, 693068246, 488097970, 903303823, 301254466, 314710569, 116813979, 143217173, 272431774, 546425016, 235212170, 237041589, 540300276, 857060981, 244519809, 594112364, 135694081, 624672397, 671242586, 946244503, 217417588, 394206325, 738586342, 483831314, 538678920, 761561436, 829886077, 318196543, 28441258, 22892725, 398618330, 488330509, 543754945, 469429541, 183368373, 600609335, 533858352, 750778344, 454506388, 186053028, 105116508, 575705807, 316543052, 866457144, 550971673, 41457573, 613620789, 130218873, 42906999, 910509219, 193371286, 278807470, 767361157, 544724367, 808389784, 223473475, 617692315, 127298107, 505910144, 119555942, 396017718, 241902149, 452030589, 664170511, 835375636, 5513541, 985440470, 110319101, 839615958, 780039662, 561723168, 406757456, 350268473, 402673390, 391760299, 697270641, 958172723, 691445766, 591664754, 222846774, 393388776, 386115599, 845012735, 590631887, 347372265, 403591897, 438651539, 718809759, 408020433, 228864277, 220005566, 755297583, 79600550, 366284596, 891886485, 155579750, 669716449, 44149417, 769506558, 507560498, 958712381, 464654755, 750087831, 305855646, 470848065, 195552106, 984948683, 801677714, 260747014, 573689729, 709479699, 85813213, 550855284, 456965149, 952099731, 86512186, 909783871, 305367600, 83653855, 492305481, 220339986, 152701830, 86356333, 355688045, 283283105, 767971336, 533444553, 64357990, 223762203, 810452328, 856772692, 486580291, 234022364, 692126549, 284846416, 800407084, 391491354, 110493132, 143435814, 144206113, 737927826, 177289470, 964069418, 807199258, 991796851, 405130181, 521394977, 10153029, 758766711, 103840827, 269458708, 907505774, 748754080, 987909135, 769253050, 992326250, 60170532, 460228997, 660674584, 176256356, 746301633, 176785920, 901243639, 591262580, 238791964, 313854438, 646426821, 61372709, 271183673, 730764324, 667940242, 522893698, 306922666, 963518601, 719497701, 511238053, 792973596, 38210846, 145681222, 769285009, 41849444, 282654708, 324751362, 753566434, 461756671, 128695995, 658178219, 918668475, 636977227, 579322440, 251035289, 445169223, 653629397, 295710135, 718166829, 158844007, 202285422, 363560152, 336454054, 985228260, 903149831, 896421200, 175351704, 647920389, 173554806, 395527419, 648818802, 212496850, 717363718, 950166182, 652157268, 790567656, 664001483, 250664163, 178536092, 948246884, 76465393, 270358411, 169216917, 264446665, 472146468, 245619858, 663044974, 399884931, 145578331, 323066841, 858890369, 389188108, 688795905, 739539972, 749979885, 337257199, 546083777, 808484811, 569201883, 93622214, 158285096, 69122606, 311875739, 521644779, 281459825, 864180541, 351157347, 894274176, 316359926, 940220938, 596129597, 297379819, 691929601, 760956157, 676716511, 182710837, 68190275, 918780188, 659917632, 199005252, 240220232, 322435645, 60073264, 693518408, 876301890, 682197288, 26525702, 597810795, 249008103, 799015662, 212174721, 613600983, 982652756, 74473581, 913959080, 417073566, 412100768, 794764587, 968414110, 882387680, 965950416, 434210465, 502366922, 400518604, 46008956, 605045419, 749202416, 779167829, 623461333, 647555982, 866099850, 203150209, 226388730, 553301101, 836619408, 354950105, 72680904, 564618992, 114834847, 889854944, 461902631, 751635132, 218525725, 199142206, 468790235, 503333934, 386376855, 473897059, 22606278, 462696638, 37664680, 539687111, 68636709, 421314319, 606814536, 527095215, 48625252, 108377523, 774100460, 495874260, 170541178, 606459928, 138271019, 606178096, 415725001, 42289999, 323923355, 246465601, 463433760, 43349936, 98175745, 428112775, 973600722, 54320678, 443004986, 912001059, 432491375, 500500034, 610850228, 782112554, 489838406, 473916214, 564607483, 651542132, 743811456, 510511297, 542074405, 827372614, 275679375, 714174721, 666667057, 243794048, 194083408, 453344713, 3186481, 191456297, 114111910, 8901436, 902632552, 97360990, 355433466, 321409741, 334218642, 34768162, 874679563, 599562432, 327839199, 561162956, 982319509, 906074583, 502930966, 639065454, 66663035, 369531303, 745264257, 286417380, 856383917, 844245914, 167700358, 686897263, 582914288, 959409042, 102406331, 670852921, 475068010, 90124231, 822852182, 388649993, 593832152, 978151987, 760788562, 657416548, 509857307, 546382285, 894172760, 156584440, 989943503, 851726772, 355572809, 800343926, 736372943, 328615724, 113805508, 767260877, 29632189, 987799753, 841442124, 961461708, 873364018, 870206544, 507765516, 240113662, 278797723, 168568221, 929135436, 436994410, 339597166, 683260107, 423436730, 715493918, 29801064, 813279110, 194229730, 768976552, 635954105, 187889545, 649005278, 819470720, 782283413, 136367365, 846819819, 822523417, 676850861, 605927240, 425342768, 693387962, 215659489, 91308991, 326614122, 35993236, 653025994, 39294006, 681029639, 643265784, 141946960, 274299338, 374683627, 655964129, 53438925, 43216486, 96469738, 935152243, 640430379, 202171881, 564622714, 53391157, 583468612, 564276090, 867590036, 470349095, 696328919, 871808684, 822474465, 10247420, 983933554, 12137987, 993119653, 745849596, 205495845, 348075851, 501848456, 579259063, 39662520, 158352555, 785474152, 27696700, 332332066, 398529123, 350801354, 375228051, 438337853, 379875833, 74833051, 826022928, 830062858, 250082452, 366130797, 333360242, 904880266, 314254371, 93324061, 180094465, 881972601, 667110101, 865823739, 618712528, 908519795, 152878769, 54073080, 820372262, 166947144, 425674162, 704792001, 596270524, 134581294, 519749734, 381556435, 322555407, 639679156, 630392817, 251095722, 809173544, 911111797, 527533502, 197735671, 97364901, 6143952, 378847016, 598383936, 826734937, 61404480, 736842472, 188253236, 261007009, 712428649, 221046394, 933276184, 65311264, 270984916, 144918227, 953597411, 715522938, 944071606, 207503820, 355282974, 203552759, 699820562, 436965322, 766789006, 214318436, 418128416, 729096956, 552561546, 38929059, 845580904, 583709418, 250384331, 683849708, 62348429, 798590697, 4670685, 591916337, 67155108, 555407878, 694019357, 907006372, 844231432, 33213593, 826535175, 823021636, 519560095, 951073944, 739013562, 184042498, 113875005, 255626099, 267520754, 318529875, 462363525, 558653472, 139137281, 966249478, 480578571, 395269159, 454410974, 411777165, 232625548, 150053061, 700459784, 216743798, 956446203, 58589393, 729939378, 907810110, 182352455, 474873731, 292261258, 627610774, 870998040, 68993090, 812373918, 208252523, 1462802, 886272994, 578445219, 445142556, 356133043, 721200673, 696651197, 478465676, 100157201, 192267884, 730178374, 157043646, 518610253, 710262822, 310566485, 58218031, 517133682, 620081754, 379987514, 921332226, 885964726, 426470265, 305758900, 953921383, 672159126, 629466289, 907582591, 491056826, 872032101, 390539114, 776851092, 474722564, 982071829, 873176795, 643172955, 465546526, 213552732, 512597633, 927367174, 155500029, 989512396, 595709292, 403012782, 182461896, 535383087, 101330504, 40560197, 71413773, 84286873, 886863395, 719306966, 835555835, 607672717, 111020325, 173075978, 917615181, 85777874, 366661477, 390183771, 730090322, 803114421, 697194701, 134660112, 405808910, 168181595, 250941569, 166335089, 664542136, 136683298, 970811053, 520909604, 854109579, 197117053, 838977026, 813323178, 285216868, 592390147, 396839261, 468768647, 335633385, 815932334, 771959530, 911012089, 855090098, 237361326, 906984036, 890747369, 862860007, 385000335, 749551593, 144128209, 693424168, 343418343, 947736626, 757132713, 795766995, 240207773, 770537517, 336061826, 28843243, 498408247, 312723364, 73094130, 826671366, 990680311, 148679413, 343989786, 548239600, 101227779, 768800513, 288373497, 644575924, 162101554, 690766879, 336415725, 193261721, 608855925, 212105816, 539787258, 117260041, 823498865, 308298318, 842853951, 932270762, 434073915, 11806936, 800538444, 397541198, 235101348, 586987999, 300648795, 931643204, 940019881, 736295324, 803492521, 13444041, 118760167, 296549620, 832491841, 925796429, 995655514, 79153792, 91576135, 453639024, 751367548, 929530299, 696923392, 258691256, 650482476, 450970111, 506893987, 407063922, 886320217, 462254032, 425601504, 765670266, 739054002, 415210863, 84618837, 994132003, 392498747, 924277851, 368659679, 892345370, 844697374, 501570416, 82230036, 122450583, 695284737, 642298762, 496384781, 658667253, 248123296, 377339701, 766232423, 268426645, 651376096, 250682373, 143050214, 96814932, 857737218, 974274506, 797516365, 484011918, 259721501, 267384060, 501104478, 201105573, 484971205, 671204930, 25631703, 865434490, 738334545, 673098877, 883269559, 575235436, 439186722, 325136987, 625333751, 716290796, 192576972, 562520268, 104334510, 126041472, 814745627, 883553365, 778006804, 845837255, 847775280, 398674356, 576000096, 280477878, 539015963, 456166735, 99386071, 705359096, 784806774, 996771230, 302418112, 596607932, 450537959, 802945012, 496112740, 193698235, 178509021, 926661593, 404145477, 794128852, 426552958, 943003584, 441213367, 508991477, 183153542, 798429200, 547707004, 291871557, 146229116, 339500331, 870409554, 44825864, 782737645, 992115859, 983853501, 378366774, 126060004, 502530551, 410584054, 736167388, 878335839, 140190021, 599630565, 958589494, 176081815, 233543648, 703427482, 851077133, 533270426, 572709956, 369964648, 747354837, 733856411, 161111097, 645478535, 841761031, 572422458, 896429025, 673317578, 117459974, 487071495, 892723364, 672910687, 995895271, 810130950, 767425784, 939308310, 762908395, 126537753, 829215166, 424102144, 471153582, 608370445, 703104229, 206132265, 545780814, 2796834, 187130270, 667673201, 367411375, 792999065, 951187149, 970861953, 565922876, 957834689, 722980043, 60161992, 845510673, 201245573, 89012483, 555372967, 166682261, 271818650, 966875233, 871801498, 431872389, 632149895, 241655358, 735589394, 318387988, 434979895, 333559128, 873751675, 235319292, 709128644, 382387768, 970494639, 151466850, 390402311, 74811321, 302859390, 918968723, 542509286, 408269165, 432576277, 299348486, 965340232, 945063776, 776904042, 314814357, 917537217, 445226053, 361690019, 377854611, 806438813, 874356011, 953408592, 88758728, 629721394, 394560786, 467327936, 978591162, 625189536, 84483516, 625765117, 320081860, 55459587, 481004160, 182883637, 697078908, 455207330, 297193843, 908466859, 180042859, 891381601, 474646235, 822804297, 902589720, 430815497, 764848479, 26075048, 517571004, 857293532, 950364011, 543570376, 497956348, 287840258, 46407443, 323241241, 167499937, 626120819, 275790081, 283275808, 990213455, 509150790, 950317751, 582775954, 623727075, 243781058, 935120728, 319461014, 845484719, 943580950, 136505467, 140991699, 863177744, 385813298, 952788056, 365289916, 752343863, 531845344, 379702328, 884056060, 23981423, 999573993, 28561136, 617221273, 678371576, 368125140, 734782184, 549020851, 187150746, 839029028, 225603459, 868042164, 935844717, 599650410, 647290056, 324236734, 817906739, 141316591, 88764454, 101591548, 40209308, 666924417, 910129813, 812234058, 345891800, 130302855, 654126196, 693355571, 778968941, 872322011, 449346707, 227619445, 116339776, 536960818, 825573405, 141979913, 793990758, 73629194, 425304557, 755327124, 880296659, 462748754, 164926548, 9361391, 846731182, 634305279, 195342500, 653982201, 152399071, 725829319, 102725646, 779809543, 569692954, 753792875, 749250577, 140447952, 484077933, 971334335, 108026300, 568415611, 825623100, 175344578, 512518839, 613395639, 125910018, 444380637, 772803195, 574240869, 440931800, 778183222, 316832677, 546355408, 572386009, 120387577, 332579685, 314434990, 771095260, 691989790, 166788753, 618493741, 94787043, 535294483, 134014637, 63135069, 573694892, 993253034, 756149954, 890921510, 747382767, 220740219, 70331102, 448492709, 128317721, 656152344, 274077342, 188473908, 871453827, 945610115, 789688342, 609795213, 283398208, 980704757, 232881411, 615546559, 441828414, 858067773, 905437065, 949516905, 814364405, 64920716, 189705642, 30473638, 277876935, 319332043, 908735102, 22304275, 35414842, 588613415, 468919456, 701931309, 361552819, 116587596, 804355479, 644629337, 458577604, 409287006, 317347166, 107964507, 748673668, 503393422, 799914420, 457321105, 11964948, 819876582, 516938402, 155329154, 153523346, 320507364, 512086134, 647534999, 870225804, 953312735, 792736853, 585450092, 573324524, 504264838, 944363572, 791335959, 980812765, 653508220, 19780945, 601844626, 51810991, 454887031, 156216758, 158578915, 164507871, 455462420, 868225095, 525263462, 857664008, 536319681, 937116595, 607766166, 555805768, 741721519, 432722554, 76416192, 459042702, 268869898, 368859267, 518800977, 803028566, 946183403, 664274029, 986174087, 378015499, 563181951, 314884474, 16704275, 234822475, 122640601, 435492063, 217836461, 392364179, 477934791, 286509734, 699541673, 143435145, 574740945, 632999480, 599243982, 539537864, 285584280, 241321950, 850680887, 99822252, 997008170, 340053751, 44841560, 120445549, 747390411, 612142224, 306863536, 271866773, 4279523, 786506700, 104778935, 550809450, 259291966, 771566343, 794959554, 834502131, 141352047, 659784828, 683953636, 518986060, 511554741, 493606043, 163779078, 773261369, 343282959, 23040400, 340085981, 839972836, 297381677, 536951838, 353572825, 416762909, 393487177, 795382144, 759241069, 649753264, 435041754, 816641707, 460444709, 747996722, 680123046, 543020478, 949293494, 686692738, 692848656, 152511843, 851367726, 834837008, 148696234, 703227859, 446736724, 285327443, 311612749, 770022775, 92171284, 468972874, 614757249, 965618081, 442273032, 779796203, 725221300, 829474811, 822329157, 638885601, 249094144, 866393753, 501542622, 544326778, 833374080, 558102947, 806000249, 155187883, 628860967, 672321290, 460096696, 73698378, 7609235, 398681639, 650129125, 559125644, 429643918, 946654182, 297389479, 162982966, 545386539, 320066077, 607903064, 800667396, 433348977, 975444296, 894944829, 641544745, 264327659, 829688217, 449088405, 525696858, 881923008, 682682314, 772670330, 632257526, 544151439, 680748951, 314168151, 218980153, 250359, 725506909, 330060892, 365560805, 7570396, 113793202, 700329762, 640334633, 177002449, 340193573, 245509781, 831988077, 226270173, 100113585, 973495055, 452955372, 719750472, 596764799, 286080670, 132975382, 848017770, 763241118, 106167406, 80069461, 275409312, 138227937, 127959675, 52489594, 77425962, 359147853, 490272267, 692741955, 260222264, 976469822, 154336131, 730617779, 111351429, 813190014, 3818031, 22270227, 921464503, 601288662, 477458257, 12055801, 306931187, 331144732, 906559065, 90984380, 975003679, 369678981, 11489379, 859964362, 625071750, 249614149, 915046031, 348954827, 363727948, 579779793, 493581796, 948567040, 265371504, 154729605, 387808411, 828796810, 581718364, 327614067, 710508897, 782332160, 155538252, 976389310, 928893857, 34746898, 293679122, 448638550, 829414294, 794870870, 549938955, 589479191, 740374868, 376448556, 81879798, 326071974, 963294609, 637429938, 847038364, 69703514, 853193074, 278658240, 713777245, 344786130, 600289795, 69302356, 649051643, 918713653, 674426680, 571187767, 506003956, 383455497, 92965884, 793227045, 728442281, 762841203, 818406435, 746501933, 653090944, 789798178, 449664138, 916927573, 732498028, 824414298, 199492636, 798758454, 294594632, 431349221, 102168853, 513516416, 191476263, 210400567, 256052903, 816165162, 853409622, 928799826, 994918325, 932553146, 555309709, 752418717, 349456191, 824199850, 217706720, 763624030, 565002191, 75969580, 574427774, 978865287, 567191805, 408960864, 482004040, 110685283, 432271847, 557668078, 824224432, 18648175, 10364359, 964873152, 186303998, 855902190, 180753696, 557619158, 218770707, 110855367, 215938652, 315449814, 330333255, 610724021, 736004060, 644963692, 455765239, 479242282, 132436626, 834518337, 560627114, 181236259, 725732205, 822876330, 202481807, 945303569, 637213095, 968758262, 624037207, 996252948, 814471981, 993950132, 848328985, 88621655, 674533178, 509213230, 408182794, 489403380, 855274501, 433822427, 316910125, 834253047, 783788744, 983682609, 562627094, 664776664, 29300829, 298515518, 94249560, 861406458, 765718952, 460741726, 38478667, 789221932, 499806861, 187072569, 50533955, 218763282, 242244907, 447699842, 247651345, 455887629, 81445289, 69440507, 345050016, 661703186, 420269540, 28486810, 899255912, 964521444, 753835929, 785643732, 676846047, 792056985, 547386165, 764590656, 906296127, 186742188, 766974237, 451266309, 153295625, 143052523, 330870232, 308403090, 219314918, 797942132, 177333740, 798291908, 687113329, 986363035, 106003676, 91292166, 478132781, 59185106, 665272528, 382825735, 815080387, 42614377, 670164987, 26673845, 254627834, 126189754, 638141412, 497019130, 314237757, 289495368, 715947466, 371238411, 7712945, 117291204, 799004181, 491068825, 571243388, 78395140, 245840863, 975682698, 783797669, 874671231, 60644705, 383135238, 245307795, 599721489, 768368921, 427804442, 977707058, 721684026, 501471154, 452073492, 526721976, 434178626, 954201161, 858516051, 557698322, 672754934, 787250561, 54294394, 323760529, 973072222, 874481693, 617919028, 25619748, 257854483, 716977858, 975390957, 648611819, 792912088, 84268966, 99675491, 395744592, 324574014, 705929169, 730770477, 456168081, 239013564, 112971413, 408453987, 528737752, 986748237, 783830279, 444790318, 189958744, 640940618, 98089799, 248482809, 490543308, 94547776, 428055548, 988840089, 566655153, 691098228, 680052681, 374524429, 351439019, 280642707, 45258087, 925672261, 883517522, 730956688, 406335493, 428668327, 328122645, 440108814, 833232513, 347965985, 951214961, 246576132, 487135476, 897335554, 145826579, 4153090, 120348453, 520506407, 515789724, 239270928, 766863208, 433573730, 735781430, 663190755, 687435807, 281340660, 307350535, 22807841, 998543632, 27678536, 400573950, 139758604, 841031690, 72083718, 355204718, 731558862, 80232386, 764216166, 378226759, 6590466, 122577154, 520707179, 675228003, 853419648, 906300791, 206639514, 251667329, 872665542, 251023013, 81222771, 694960433, 863374689, 802359235, 367993107, 640518336, 73138984, 246668022, 450527982, 705011681, 220937348, 591834622, 672487494, 189477688, 399071972, 922982397, 72039682, 720248062, 822781804, 383709297, 910025432, 529839663, 488370958, 662172394, 751075197, 593328987, 517816533, 248879161, 838734853, 628645670, 730786537, 905632059, 398310529, 957844463, 722680819, 123468267, 196576455, 801306672, 227115055, 813551158, 570937279, 632863735, 617777033, 594655585, 500783104, 928642093, 266920967, 822959292, 16929881, 821819524, 510255305, 38417798, 606281844, 943236692, 824901300, 154313914, 597999642, 172015391, 413900566, 324883491, 208807703, 926319416, 148127959, 483561730, 258127069, 425788563, 954949545, 565596283, 159900286, 593150465, 80157665, 435073345, 617655458, 400406327, 150047010, 895166013, 979817919, 16229942, 25267872, 605644018, 250097234, 466404922, 723175020, 243833686, 635163298, 418155738, 936195886, 682870098, 613331213, 44855373, 225442293, 935853134, 765005793, 616399381, 138150741, 168602641, 311468523, 160425349, 585114807, 314999581, 615413171, 699315554, 273595672, 782374020, 731329388, 27571834, 263501243, 235809533, 18319048, 84337407, 646403120, 70853526, 152629256, 395829989, 126637532, 95852831, 613452484, 366311003, 556033697, 161818222, 500297330, 323632654, 38791842, 163857061, 307890520, 795238172, 408691296, 908105130, 390436065, 273367170, 149080851, 832557043, 490600497, 888851427, 814516515, 486774766, 526423285, 17648515, 428683307, 219929549, 176261595, 712330270, 101128825, 17395307, 616476515, 105186333, 822195301, 633190682, 97825498, 297906695, 41255667, 863388094, 485453900, 705880444, 517933085, 9496792, 606366884, 21264073, 342317826, 894785865, 70646775, 894789376, 602136402, 623393174, 737339635, 237810328, 798572845, 661346178, 619571380, 782295742, 534169457, 814768557, 976459095, 938042590, 637575226, 998561150, 38733597, 603446004, 128048862, 102691584, 88186388, 607725678, 601645764, 627183143, 809918753, 9019218, 30700310, 79866920, 272325602, 410772466, 621411835, 591638797, 974633922, 93713353, 939400650, 443690755, 63675484, 472567819, 521139099, 152419538, 524715632, 191438956, 890859059, 6776185, 410514620, 634064515, 461037548, 153177353, 71715029, 596828341, 299799933, 351940389, 485048407, 73381106, 399962708, 533549030, 486255852, 234047647, 177904353, 733534195, 902062469, 51387293, 338709975, 55086399, 429933177, 42008961, 718442739, 710363516, 701401527, 870290139, 230927094, 218726850, 267847101, 542710036, 619333613, 520163519, 596540243, 95910354, 227987541, 246514176, 342616342, 414536786, 174731113, 13166335, 595463336, 474574065, 741628842, 853984814, 191427497, 355033646, 832172400, 485220046, 582881830, 189251335, 155405597, 197624559, 219672220, 357672047, 477103121, 30599531, 193885334, 621544420, 888666534, 460978028, 611775697, 522227088, 221600539, 447657224, 327741726, 4681497, 864291818, 792345197, 370889184, 3088514, 184696579, 205959930, 265559999, 577302387, 807543710, 391756066, 576828242, 72987057, 989920511, 314386016, 152062047, 594009914, 115608194, 456930663, 154582844, 119404200, 113371582, 724063568, 91833821, 258794394, 732793783, 779727530, 458586870, 910348859, 315750027, 220339839, 633017744, 724304452, 69037982, 583033272, 543073665, 468716946, 81589049, 573295824, 236836322, 507657707, 337665054, 118688975, 829969275, 753055263, 498802642, 199171788, 549863309, 254384291, 153530620, 418789160, 927313984, 238331378, 424935219, 902316678, 495222809, 229471851, 378026205, 464217119, 801581009, 130479389, 767157009, 774403995, 637281114, 493257789, 204871255, 301915766, 677889777, 748407210, 811275181, 70395693, 670233365, 36237643, 43601191, 735804133, 544535916, 844762402, 986068938, 139938271, 133994273, 70957955, 87815522, 944270058, 65628194, 602793543, 411346059, 477739472, 262570885, 149034197, 768689248, 477286635, 246924545, 758606531, 614265782, 172834893, 203902236, 530807736, 710516721, 614376769, 513669671, 564838564, 948384349, 576197673, 756807006, 203467953, 482131019, 410651561, 8075234, 542435180, 861894166, 354921318, 849911051, 374965441, 656504971, 673398195, 321603851, 508559559, 666425310, 139473879, 725260578, 646527600, 71559376, 485798556, 494517224, 70570882, 881080110, 145830712, 45584510, 760141449, 58086270, 989161278, 91913872, 455414313, 607947484, 443697201, 473253286, 190792892, 539988137, 272312561, 120213283, 667039206, 252227644, 454622880, 230093467, 670861284, 335977983, 606867754, 942341353, 119138127, 275792218, 872423222, 256767769, 688869188, 412830432, 666061505, 34056885, 486508402, 304245646, 520425309, 297965032, 902342160, 279750017, 414268144, 373504707, 352536494, 897795358, 421593790, 497149101, 457245073, 311106536, 209627416, 974667934, 857451410, 518944075, 704347711, 686308345, 452117020, 630884991, 697920509, 889413515, 86325168, 311152926, 12944262, 903718354, 373581411, 907056144, 224419446, 571503820, 416816088, 500105118, 524915246, 860498701, 637806023, 842035640, 150885990, 845814940, 133191617, 975576855, 140279040, 82681598, 55666894, 899066753, 84925764, 813390881, 653654736, 383555701, 243973356, 785888732, 898368549, 676698366, 409545517, 127776642, 170942373, 110613328, 907575394, 57725516, 578796935, 898879104, 719387965, 848199954, 810694395, 485586935, 194697880, 103261032, 388608624, 212448228, 758319212, 320238790, 207418497, 116782895, 712535663, 608991064, 785525144, 640712525, 290880051, 204774784, 745379105, 946507383, 897881131, 95134397, 839869677, 199605242, 831197201, 952372187, 758287260, 164261043, 462119008, 917235640, 801565288, 479658551, 291295002, 841441181, 77370219, 80451679, 820806338, 928390924, 605768067, 956162233, 472247286, 88726465, 113520311, 584596704, 285164432, 158223781, 371161392, 583068369, 96203622, 344386584, 493822891, 980160473, 207899488, 676897580, 981979477, 110359846, 354663452, 795504923, 583125272, 581970434, 148533286, 988869933, 430275343, 924061921, 79353698, 708120443, 34428812, 40783187, 758991760, 873834321, 824270967, 435256467, 115677896, 89558488, 917227465, 993511910, 654309058, 682174716, 594488997, 131607160, 950561348, 527327559, 149032197, 2722355, 512817369, 897582713, 536888657, 768280450, 736861636, 851400453, 668458582, 742990947, 450713365, 690386373, 560704577, 761497608, 98764977, 967549766, 691733464, 11369445, 956105927, 633021371, 842789701, 615377050, 337044466, 10340756, 951254477, 446625120, 534348725, 244816494, 589392264, 778821682, 47972684, 936991886, 131451834, 959074307, 897009421, 636348630, 45787785, 796612757, 420498906, 621931126, 939646302, 945877640, 704013299, 836059618, 157902250, 12137207, 917175178, 645928709, 689195401, 749082265, 830288681, 210856714, 21876957, 773711408, 2160241, 582583932, 576772702, 312088390, 717371973, 250569050, 87009367, 415718718, 689396212, 78261207, 586827105, 691946546, 460254495, 969657205, 827075437, 523426374, 830150103, 677574592, 746880962, 133790703, 500979678, 243682379, 68807879, 276258182, 282271171, 145450917, 461967913, 410782807, 9997560, 759041342, 451813440, 418333589, 329220693, 370380393, 665109197, 457808869, 828104299, 974490211, 29049982, 329288650, 395289146, 392539004, 174502709, 577613442, 895109517, 75277104, 297907604, 130809399, 340628735, 437101900, 619523178, 712921322, 815166196, 321130095, 668107469, 216326609, 857094090, 575685758, 747966894, 539800968, 70190863, 511042315, 147078166, 455830025, 27134580, 907253912, 764659204, 571286601, 318663285, 315301684, 171722844, 398651801, 260985793, 434898432, 916090203, 909161211, 594754113, 620026481, 241919805, 622058598, 671332560, 360924856, 328204549, 840070920, 862153014, 970563959, 858278262, 873267813, 718861951, 417000171, 887921966, 456637430, 948217321, 734977215, 525207712, 244170579, 396813836, 34742954, 500523373, 847983383, 85164499, 940979703, 584348100, 822897974, 707251941, 704031467, 974411837, 44515729, 445208519, 422971647, 338291197, 809369816, 942266851, 771209737, 111984565, 773787912, 67870169, 58724598, 691861919, 235108551, 772555639, 138875457, 230002801, 925306119, 309320776, 402847394, 176931448, 403379594, 999075680, 514530717, 528489616, 763515118, 297519964, 476860890, 267976428, 973237854, 671161092, 120302790, 128300636, 162891793, 873091755, 553782187, 32923232, 365872215, 435257964, 504098887, 945516462, 190992407, 296729058, 350414400, 303132348, 932166574, 53207399, 969965802, 382237064, 244346859, 359648425, 41797209, 934790097, 261443606, 484209773, 771447287, 989781717, 726556473, 999104715, 438710144, 321829015, 406220601, 648721877, 254237969, 65014417, 7415832, 939850242, 613061069, 907366704, 616698690, 600726324, 844645737, 886477842, 863229716, 254598129, 99040456, 723959456, 922624637, 147799631, 484665906, 356550204, 983563017, 758122872, 866198363, 375809858, 556139810, 834491346, 410248745, 931403479, 490467639, 554659450, 897856179, 739214920, 161500438, 283151294, 892067565, 131783173, 604190423, 891836579, 650389206, 349474614, 359297948, 467261265, 839275372, 951096686, 3618722, 978909775, 700723532, 892681586, 340320558, 365491991, 220058940, 666772318, 39511707, 750257253, 668850299, 32913987, 975794017, 922629816, 349520006, 701146330, 315372714, 118661482, 907868479, 747236776, 47913721, 747499008, 425394755, 924349351, 973040113, 412260701, 312818803, 158073712, 208107491, 328555737, 325407118, 836910890, 895921453, 549993768, 373119081, 726802565, 490589828, 758064638, 779431824, 850848033, 446942668, 202185650, 334450820, 745591594, 167343711, 114800147, 792606757, 408362842, 8275247, 753731054, 422438491, 381891911, 400984128, 524481208, 57773056, 683163894, 571479950, 235112092, 152127344, 97092228, 439909624, 333760915, 977902177, 861867260, 666752643, 942837155, 738359525, 523645912, 391600118, 444799705, 445698445, 634914783, 220027628, 708584818, 160975257, 484872522, 321462316, 433918545, 773258017, 964607727, 174660043, 570120687, 653935897, 244346789, 355714095, 783655287, 110402401, 743463181, 783110991, 102109035, 803604025, 55598292, 252075884, 387655319, 431384653, 795830605, 18371316, 561401438, 721974197, 114951709, 307683925, 272091573, 923769490, 473232910, 529901166, 962744357, 208041383, 772820073, 38924308, 416999242, 317930293, 368798422, 661204508, 71615221, 440506677, 28658788, 582591679, 295708085, 79872400, 453580063, 674704917, 752482745, 936620702, 763009656, 150904461, 316884143, 65003366, 17757695, 883204543, 870548686, 210816309, 68159514, 941087745, 943784067, 508947193, 822170877, 95224195, 473499561, 763563129, 123621955, 691346549, 147905724, 750579535, 326704800, 108508276, 598368341, 159872989, 819389483, 582005783, 365930006, 231482203, 774918057, 188782617, 972744542, 542985121, 980578995, 106753758, 230408583, 450315597, 734005159, 824775738, 664240161, 919813251, 870439061, 131546678, 717594900, 393935891, 323152376, 951206089, 342153812, 564440003, 305242461, 681717990, 508319647, 43248030, 357762160, 392296333, 658524714, 310008709, 899819862, 759846170, 174734585, 945980858, 614667479, 692441556, 492486077, 741100596, 87423365, 920010658, 191932439, 319112111, 744253714, 233566239, 371466185, 833059978, 837786401, 213001560, 890978300, 602925497, 537077284, 318169276, 703638730, 113388369, 327031614, 109616158, 518763281, 996938235, 541672322, 892108842, 530623004, 287427600, 91136705, 322843887, 932443835, 896854247, 553968266, 574014113, 200506112, 31368682, 203384892, 914462254, 461288372, 661680098, 557388811, 331052462, 195184116, 604472224, 292709557, 256938315, 331300418, 544890368, 887095271, 439087278, 568073466, 973742352, 126514013, 591989927, 295182847, 246378620, 824495449, 384896537, 282204798, 711054013, 815652987, 182740342, 537606479, 204652739, 109295182, 685626696, 428968117, 314993047, 997881891, 935030561, 441057273, 4353999, 986116423, 436237489, 994008535, 765275720, 152583328, 973121224, 861895335, 679716567, 267568710, 826367153, 498133032, 104824745, 809900454, 604052174, 647251685, 469978089, 343636177, 993938230, 277103936, 755134612, 194765050, 522870822, 9525929, 453305080, 705532921, 788485133, 654223745, 240893473, 433368860, 396151139, 876287545, 942016004, 394400976, 183139770, 753439935, 16482884, 74153928, 105673088, 131274640, 931694829, 536944066, 531676448, 525433121, 538687978, 302733709, 385252157, 655585847, 349116304, 640856465, 714351334, 180059136, 229734664, 875477147, 469158939, 334520211, 706095306, 576960779, 612414569, 706412438, 782438352, 893949503, 49116056, 550270449, 167631187, 697446117, 559953143, 724260299, 206241044, 465177151, 570167383, 315518577, 996344793, 520403556, 557066833, 98848892, 321195504, 971639911, 934958853, 393689587, 387592688, 956746161, 734055765, 449070542, 406847364, 422924355, 39836533, 388598133, 293266517, 335387816, 728694242, 47830415, 452991846, 638177062, 886640939, 202323072, 489195779, 472310824, 47825640, 408019857, 211507981, 889089313, 892640149, 624189735, 437064264, 352937136, 853713602, 6067973, 785197831, 773881007, 867265480, 4956879, 596633406, 780207028, 748228620, 898302151, 460979363, 228769532, 90321207, 37352606, 8960766, 176494791, 213376174, 23814436, 229889863, 512672198, 437684568, 252998119, 113051724, 122697921, 897395992, 261421594, 357358272, 508851149, 388019548, 752197510, 927176796, 147305254, 504013831, 299110426, 855718982, 174679512, 948426736, 308682504, 758088227, 388759491, 39233858, 870257119, 631716892, 875762971, 961337489, 275336469, 567491037, 70837343, 423185407, 808657161, 283442286, 188018029, 531029166, 616706714, 19525019, 901426336, 650671043, 159072103, 578395691, 913972117, 713326385, 424410997, 442579801, 444632696, 612580972, 547212086, 935533347, 708473952, 227550807, 185371338, 390550725, 885709273, 162554710, 236329027, 737727317, 292515306, 754737813, 576986482, 368191796, 674146645, 629861908, 221241874, 419138508, 865992131, 470210619, 388968498, 117441066, 663599400, 440054224, 317997809, 847999017, 60996199, 872942093, 758308133, 939793521, 841522295, 975926622, 357940627, 142623708, 596234994, 18583713, 463502293, 356463841, 432022553, 662876960, 499701618, 842266814, 77325287, 976888172, 35662175, 384624082, 54677330, 896748893, 812531415, 304982948, 299773502, 180910260, 84737821, 266748056, 351269052, 258959313, 269077203, 516661597, 675065566, 941948350, 845239224, 706257059, 389346998, 373900824, 143552267, 916697086, 965307886, 514298947, 672208212, 644662089, 556539008, 974107352, 213882084, 19516788, 104788722, 935197979, 655462594, 861656211, 46853438, 462526007, 40434493, 187907463, 792235940, 268196122, 221134340, 303619783, 107932346, 562464196, 394815099, 962935155, 487984872, 640006630, 378786662, 304058729, 987348000, 380627871, 173849265, 878860841, 771259305, 908390158, 994368444, 356609090, 808012215, 805162786, 244571652, 574003351, 471362130, 770732387, 851832213, 492118381, 396068109, 645269811, 953974643, 433427989, 403252528, 363297296, 144538220, 573166509, 772899924, 318677830, 562559350, 28648918, 924578676, 570448645, 192628492, 489192013, 709865314, 331441340, 131879515, 25536171, 713295258, 659947021, 615369000, 554292120, 18751696, 472882353, 271534333, 265268256, 58458586, 105392515, 694419840, 832379790, 903173330, 272584733, 121136076, 971535805, 608776376, 631015627, 738969536, 151669569, 481186921, 974608718, 536103525, 113424074, 352035245, 572293276, 622977803, 612798337, 913667652, 896074838, 900986348, 10057748, 425048234, 831569974, 164931289, 869332833, 390461801, 119287882, 948612153, 835054941, 64873963, 687448147, 624228437, 644532673, 402947762, 906052358, 346258454, 243148458, 793263317, 841958256, 116453136, 121191887, 140556429, 4369793, 886273109, 354040573, 568974011, 189182379, 159605555, 703511977, 9931825, 292307826, 813415209, 568236278, 873330311, 414456726, 898411775, 320026589, 655576635, 330224625, 379642089, 124549144, 566740044, 424176299, 451978714, 899312974, 147693843, 11293260, 903161519, 54329462, 97761597, 910290025, 488269707, 974943903, 654561394, 66789580, 185836296, 671685132, 202424624, 98712859, 656528823, 349734464, 616762264, 348232843, 113961305, 699801092, 176099971, 963153669, 287175030, 624479822, 989632914, 77246486, 660526733, 400321950, 440471877, 118187333, 17093199, 358701044, 305134918, 482666284, 656700235, 257202705, 61749441, 684565902, 853324820, 952924805, 759079919, 447728929, 704796880, 138347922, 128442580, 848513077, 181842935, 936335087, 134225379, 304807785, 802256003, 604343865, 968659146, 801616700, 787992113, 425994249, 933219240, 830613508, 384577294, 219398608, 663274838, 367959059, 751585434, 374451877, 711650619, 380979143, 796039877, 261936184, 849421496, 561652520, 146515690, 18966445, 898417520, 953464208, 378947621, 202188167, 888873533, 504328276, 843880531, 795814922, 494802316, 524341068, 870423704, 432494876, 842614832, 443855379, 306557581, 528800162, 732194326, 887304987, 332627822, 233189462, 504981122, 51043141, 370655737, 760647539, 654183225, 543312427, 436562325, 678034729, 490818356, 304272740, 594795867, 952458368, 463662700, 410880627, 844398133, 891532866, 149505404, 819410272, 280422395, 119417016, 786445639, 409925014, 814498446, 506342168, 896590252, 156561716, 718291297, 768622089, 474118039, 731459452, 843034720, 290700353, 629020904, 613879173, 710953464, 256823005, 388590875, 559425222, 582365718, 622038039, 508872286, 790380106, 539376522, 234445354, 355752633, 574341270, 792483628, 74469735, 969077063, 802599764, 565480416, 272038720, 438083990, 669040030, 380589503, 41209055, 886071850, 432083638, 22727062, 845724656, 643704692, 844898512, 384220220, 285447924, 4581843, 737871565, 646129020, 383525703, 96912955, 860501922, 504658773, 72470098, 73121062, 907485123, 537352080, 136447333, 45796825, 377346461, 496868167, 339949169, 616379205, 973383965, 292405637, 252247048, 374986262, 514647041, 399905614, 358416417, 765942818, 943953522, 4498282, 741498589, 747136108, 786765548, 111312900, 954793679, 185355380, 370175835, 587557473, 978160583, 888214355, 991614966, 121732191, 557029992, 976594545, 658421606, 207983658, 159822950, 734973550, 370256822, 628924226, 157495767, 828427629, 745894413, 671258756, 75945124, 695212356, 533366192, 869140298, 826855139, 378475419, 238501410, 478038807, 4994280, 53132738, 284723855, 726357016, 32025022, 424450753, 749368249, 275261145, 62201615, 319919194, 400241431, 670589381, 663528021, 978605192, 847423944, 231328792, 487460855, 116972207, 216081711, 560612657, 750648123, 511879252, 478800767, 245837621, 443807583, 558051246, 403293063, 677078556, 568598802, 795677368, 250736866, 767634841, 844340540, 516489996, 657385413, 904593322, 572775206, 317272459, 525961366, 384875101, 26942995, 380425300, 926918615, 260054523, 29307227, 902738656, 677701701, 495538256, 456393878, 882205921, 762758406, 33086750, 600257622, 160741517, 267120963, 452037721, 961995150, 490012313, 231610223, 662918837, 388870725, 539804678, 838374663, 102637032, 178519889, 304645570, 304811942, 718473640, 936119820, 402905607, 772924031, 92172179, 965284760, 289628208, 360104078, 580074665, 29769301, 831118407, 825456384, 506597333, 862822554, 622079035, 478571775, 739483512, 720483455, 388219479, 177790139, 579345556, 382665303, 551567275, 89669640, 162407259, 384436686, 462628460, 486745427, 369067462, 563926906, 501939065, 960127551, 444901733, 403088373, 678464889, 319988631, 569898486, 913165351, 478794965, 262898915, 774209864, 480797472, 914837248, 65985007, 45334999, 843201860, 28801187, 287147857, 957408941, 682861006, 584734396, 403167998, 984362890, 500257721, 856594256, 528244865, 707771667, 980330473, 895780067, 259593816, 838878176, 370105724, 288103794, 191702596, 494661117, 20984306, 568021285, 965006156, 181689451, 935848212, 132594204, 922827728, 69205709, 288507984, 513473106, 486202606, 454899819, 26712989, 453310031, 581797927, 411141410, 846737280, 116186094, 326106936, 809216551, 7904790, 979453540, 623208614, 276850322, 601119332, 906540098, 326844237, 753465612, 552654419, 986772339, 19625893, 706199313, 415911701, 788213185, 308397603, 988533951, 431347944, 412465514, 782755244, 603663614, 476126821, 61695130, 981233142, 77947254, 274331433, 52418929, 904936134, 501957264, 681624643, 235282521, 804211255, 917569771, 404213800, 87393984, 499260173, 151875047, 725077696, 597278976, 361567274, 803133059, 805938421, 34131400, 980010717, 658453079, 921693223, 757242902, 124392504, 887449541, 997215094, 503504879, 712282694, 167788940, 385176814, 148560816, 460435999, 17770685, 638683699, 894985418, 202167138, 166771798, 90833795, 324801899, 135810230, 534063419, 528883442, 5418578, 297833925, 866775619, 40397360, 960978892, 592548338, 847356886, 1555518, 870467780, 568670938, 21484019, 767019123, 831880808, 419743778, 401709780, 585321209, 602328741, 239667686, 678774414, 871766697, 982157094, 723025623, 185987815, 16794967, 231875470, 19535012, 29551196, 78683048, 952378376, 650248590, 340006463, 561579805, 725312193, 609386139, 330947161, 353651511, 988732394, 634512269, 766168487, 928516329, 301920883, 638821212, 869863, 253725908, 550236729, 536538077, 666068409, 162734673, 479617393, 894192806, 857434344, 225065026, 805479574, 280448059, 249020295, 985982865, 242963396, 629803986, 801767321, 548320256, 869596227, 796054547, 42785693, 299133898, 119564049, 918500916, 785582245, 876392600, 513419541, 629987577, 251957943, 4203079, 103642626, 567342608, 207104062, 433467317, 647245271, 556792645, 135781044, 518632861, 915596580, 151352267, 326013750, 908295636, 582827035, 843619929, 675474129, 98637462, 807432072, 662029376, 864930166, 896162238, 506280992, 710334662, 942790440, 517929066, 565707417, 351745282, 73574527, 895905491, 60747584, 445719563, 627423167, 121106616, 601970108, 336438994, 511046097, 108210676, 481577641, 668988150, 683466633, 100891880, 166829156, 869555218, 633687078, 535882477, 548901998, 189831315, 190574456, 321445186, 33051332, 774725834, 40336098, 77230220, 902162081, 23629649, 715456076, 225491767, 99325036, 515950352, 182539137, 200681118, 863600358, 755525690, 843693099, 180067637, 880038208, 57447722, 807816398, 559277845, 651917444, 831644488, 461353630, 384181062, 790869964, 994573122, 388242985, 547327588, 708897084, 837304021, 180783056, 949935527, 368448583, 890780377, 199950205, 110880794, 585301377, 955743462, 574937080, 118264911, 821939593, 507112373, 997364290, 39638195, 205248970, 119094607, 965322868, 914759182, 785746383, 345804065, 226535253, 41039728, 527762043, 935716369, 358605920, 815122306, 445216435, 46016383, 693444718, 350551322, 674944064, 75971740, 696828850, 157531252, 482801380, 54318649, 771995061, 823650335, 46647383, 205195520, 221932471, 901025882, 940460722, 600110429, 213010087, 901901108, 476422036, 933212644, 851278444, 622715957, 885498355, 404570115, 888745486, 302993661, 693954869, 798918378, 684022814, 142681512, 559204485, 361172828, 807713438, 209664299, 2220957, 164515215, 500243067, 35655138, 606010734, 816529147, 966521020, 803582292, 812792643, 612269348, 474274598, 684501887, 153880867, 508936069, 979811141, 91312745, 456661887, 229087949, 551412728, 875847185, 797468147, 29696038, 558668121, 569479686, 370353401, 128187570, 141789601, 149733650, 424739900, 312920971, 670690512, 332142418, 499326763, 646697894, 60861033, 982017679, 481800619, 988726053, 260520863, 971024431, 706534019, 383334347, 810679944, 959556974, 322151962, 819022877, 240738690, 928425654, 542829222, 614484421, 643827079, 557200418, 195448446, 635076710, 504563405, 526122381, 643244062, 157672403, 397865906, 84674857, 874310539, 254605353, 520116039, 22104821, 767281997, 56964284, 369095497, 910326852, 345225785, 469516968, 891377978, 218069747, 705638496, 45893085, 434754547, 50072380, 533734857, 466624144, 772134005, 977712198, 791441087, 135977581, 491244891, 8905165, 758285706, 119017272, 205403768, 191656029, 264763799, 403788431, 818893659, 877463444, 220681599, 244201127, 695916762, 254991858, 18767492, 305147005, 282369903, 35790819, 460788517, 142379579, 3826478, 772600802, 576688051, 641427286, 6336143, 86567583, 267091593, 883827807, 446248101, 565610354, 489409297, 399570192, 145536236, 68273487, 350674863, 416738430, 269015064, 973484181, 486412585, 55745012, 656413820, 855935579, 50768655, 954650468, 581700177, 81142000, 393261609, 221313720, 105172558, 955082278, 656814704, 796936512, 569119682, 916465700, 73138269, 575994604, 122670924, 283769295, 91672758, 8836646, 798111447, 869494472, 10081545, 345971998, 151558007, 546384561, 765998603, 148259907, 294175221, 764537384, 252651829, 164921696, 475761936, 704962543, 881172678, 510046750, 825081809, 255386896, 883413581, 11672981, 293249102, 436663516, 590747811, 655144299, 465414875, 350872517, 413849935, 256617155, 854609058, 473208340, 904741096, 24451213, 664705897, 641804971, 200816220, 101955852, 809460348, 527040452, 995378424, 226976910, 625670396, 226604231, 963101593, 598659826, 757800005, 960267270, 142736970, 764276006, 379279245, 931291005, 355575411, 573230158, 355203734, 911354696, 152193850, 908930328, 77490475, 927651905, 840557449, 335142359, 855089445, 663067987, 349630148, 681992294, 841778835, 36024968, 127827073, 851181847, 510956210, 484277277, 726570974, 440210209, 770811001, 701819816, 708415798, 329029125, 438184284, 903222420, 488018929, 173058245, 617109011, 703946029, 650965030, 675170337, 124587861, 100500242, 713504201, 660553188, 866130313, 602835135, 565348498, 240021297, 249358644, 803466080, 702118784, 12021438, 386867951, 607232630, 892617854, 188452174, 361914106, 239468732, 327533253, 725785123, 916708655, 954664314, 658029174, 490099756, 753004095, 940112358, 856083429, 875991579, 879918272, 992188119, 744571559, 480591859, 49930022, 696933384, 415570059, 791113918, 345605749, 887494816, 762419054, 247297058, 435047355, 984149638, 647748008, 654051106, 891730422, 641073991, 995232890, 968340265, 644412013, 869206568, 824157175, 876280817, 666470387, 617236728, 912974728, 631732778, 752985481, 408914752, 891439896, 812401283, 372237824, 765251210, 748114865, 923757928, 641958286, 118300761, 28837725, 826808481, 391011768, 697837032, 877585709, 96669488, 351930878, 62124924, 427660118, 772318449, 150639371, 614075926, 211204966, 164635391, 524322634, 252354623, 268204551, 168781852, 351338206, 297818516, 956860163, 160103377, 115005732, 95228405, 334320417, 346889324, 705711797, 763131388, 456788898, 930866840, 522097137, 407628698, 549416929, 38568009, 675177355, 288034371, 186614316, 672863454, 752020138, 422470234, 568048671, 404023313, 385804581, 442624771, 156266992, 442190102, 979874130, 219938693, 570328058, 797170644, 685194615, 222490790, 746301825, 28561130, 329441498, 677422605, 715577752, 330925442, 787517815, 486689726, 62935579, 301088322, 297559764, 75424756, 963793789, 343693807, 116125458, 811117538, 255108074, 270916867, 870987276, 180345171, 178160203, 547330966, 740457929, 327878842, 804810298, 12592611, 731203452, 892071263, 679176462, 818076080, 183120509, 507627471, 54114337, 657757100, 109506958, 956106753, 701585778, 642588361, 250484878, 444395188, 135862881, 862571231, 140536973, 534381602, 375466866, 734282985, 670800566, 378072047, 469692493, 931514100, 683560260, 605630788, 878768880, 581089872, 671711794, 683158797, 700315545, 792433778, 237732782, 630164771, 70483599, 140802674, 405384279, 542288502, 748884049, 751357403, 141954625, 450863021, 252657036, 353740427, 752926802, 442322355, 579535335, 406263693, 898475977, 891832837, 592252750, 190545028, 801566452, 687397329, 215894673, 507575640, 288485930, 640107226, 613186569, 924047538, 66624226, 878186500, 709112790, 622122539, 331384401, 12058216, 485463591, 462932653, 325484648, 621809756, 471872639, 540096343, 958473580, 544997776, 114173477, 316433802, 8662414, 845831467, 264377298, 14470438, 846556828, 671698635, 579468539, 639320030, 240982578, 842355844, 454172488, 552580382, 283083808, 668981564, 293101323, 895602262, 4813355, 207530083, 301431738, 780889889, 408393307, 120228756, 668954804, 986865104, 629747081, 606321137, 402791225, 283955189, 35564436, 602484554, 338622121, 784204193, 148597861, 227406318, 440055844, 566311735, 128167847, 829151432, 689542755, 607337137, 733302732, 221522665, 258835184, 596316179, 624973760, 637511818, 303314679, 169162819, 429147635, 826788001, 672694596, 578680350, 490432063, 935521734, 91428443, 882227790, 862736242, 452919606, 451043172, 251386733, 961442264, 518224035, 801237848, 536428097, 248262660, 663057929, 433065248, 634870000, 662810663, 399879591, 61079136, 512116799, 609803265, 313724657, 217891194, 482282523, 669683161, 199096124, 22817740, 499329399, 579604923, 936700695, 769107124, 165509763, 790219959, 912946570, 319361873, 452192714, 754148004, 204308276, 888335813, 559691923, 492914699, 931770357, 709677162, 365854508, 66616040, 694790830, 657173073, 619949657, 395264561, 413561727, 100024944, 218651029, 469423616, 755610858, 106747916, 950301288, 690779466, 315074253, 206665365, 283341926, 927871722, 724015964, 959182210, 521556122, 984460220, 157790948, 448595300, 864121929, 987274867, 256252463, 314734973, 805174901, 727619569, 930393156, 200695991, 231998820, 20910271, 461177505, 116744704, 337765102, 622035637, 267798070, 549051367, 2388137, 955477512, 856183238, 898569242, 449087121, 530866563, 998444564, 535322698, 46444835, 801824231, 757389454, 168017261, 450622813, 219555821, 914476766, 339943366, 342413253, 231281861, 481661674, 580671010, 492172316, 690231827, 264792898, 15584009, 738881519, 773870215, 971683733, 931390049, 237667396, 705422211, 373417233, 165140694, 369189177, 826372183, 231605954, 363748446, 639717562, 409049362, 713980947, 280334434, 981392349, 399777582, 755829009, 641109007, 533134352, 569535481, 21682908, 844939003, 685828737, 158258779, 906105379, 885163131, 817629887, 390664337, 559736932, 857407745, 895791430, 61644251, 652252369, 306368789, 26658764, 152487549, 269956414, 961769444, 32508691, 6334457, 964158821, 981002465, 62818981, 154012940, 127527378, 511067661, 785266628, 707148671, 151393746, 469660087, 106140478, 24355594, 773163319, 870355633, 3747128, 407481579, 664920250, 203026174, 75490644, 744377430, 888083312, 427003259, 848105885, 779205612, 760196905, 91655303, 253306598, 670802617, 798512115, 488690673, 912651182, 33806091, 443556127, 408657410, 693626500, 603396463, 968067468, 856171867, 438156029, 465668780, 543736088, 58210182, 507845865, 543139986, 288282290, 547218313, 657330476, 314357582, 172465593, 131861636, 120498931, 831030663, 706244999, 784450012, 405247240, 905901697, 988475100, 592772849, 152048730, 496571747, 10729427, 479220090, 886749715, 236584527, 302307453, 857547289, 790314590, 662877952, 928773332, 563923659, 444695288, 953546734, 440431494, 666250429, 525167525, 499158668, 804968843, 788445114, 859279639, 620293519, 273538467, 768978503, 119658213, 384082735, 380183391, 474086152, 148778391, 413767607, 331208031, 686466174, 288280417, 887150731, 261089601, 128966417, 335234238, 739921472, 755510742, 851145826, 846854168, 970589759, 210592544, 863516323, 511389397, 498676806, 485632885, 310488689, 496308739, 446766243, 313392030, 683165700, 458634852, 985195469, 571160578, 634717501, 927139864, 660572169, 846223365, 447562542, 197594910, 86064939, 548028712, 867946698, 658662840, 184888848, 512950751, 196554925, 415719629, 152853144, 712516794, 858566445, 700068655, 138560952, 854295280, 587268778, 423111961, 505813685, 782671381, 813274411, 896266162, 634457289, 610099420, 391868110, 812312549, 385523785, 200203568, 352125688, 636215684, 773739372, 501155314, 851827232, 571918818, 25742386, 675469179, 563816638, 163858581, 100057886, 243000712, 354690779, 248578498, 100645915, 78989658, 83071524, 109218658, 760013953, 946950680, 944023293, 258156395, 92495178, 743732570, 988132844, 926826307, 638980712, 38521659, 547286674, 571530061, 972452170, 766209055, 628531330, 790825436, 732898574, 740988095, 640600812, 172711939, 702643911, 507923808, 468802022, 172421986, 319890421, 867851747, 173861881, 262384081, 886671671, 610973456, 667355424, 974054228, 375074980, 564122415, 231128793, 72554370, 535459111, 474381993, 182981706, 517319067, 509513506, 494611742, 4897063, 699491899, 129399804, 999313432, 962822023, 200754663, 899941705, 901370838, 722703112, 637560343, 990874954, 456490914, 449768343, 879869079, 163189837, 909356788, 239378938, 698804488, 901814188, 214164624, 371313036, 959244468, 878798600, 838638448, 117832645, 753168762, 677002913, 380091873, 674844527, 727246001, 274227621, 150490961, 990518587, 974003486, 266181675, 282301597, 972167040, 235131399, 303099385, 496369837, 156910344, 446693346, 169837278, 278740440, 120476105, 883493641, 255982150, 876774726, 931733168, 895299922, 111869257, 265661307, 526368643, 908827021, 768010066, 961656742, 345715707, 996053311, 940050577, 451100326, 199538628, 422028476, 54620178, 446049680, 24224780, 212456562, 839562968, 807229590, 799398765, 857819575, 799093093, 158422129, 108036875, 188881270, 942431236, 897907739, 527430463, 288042614, 507451625, 195292203, 182034877, 283705774, 941855340, 852650717, 146287004, 546829202, 736949755, 848882374, 237263872, 237531841, 457759661, 562460584, 205827234, 660216366, 5876517, 509207609, 616995849, 614927607, 463436470, 597962170, 45410610, 995574661, 290368112, 552981521, 461600589, 124387933, 269481951, 772732477, 564704342, 507493304, 253602786, 79019496, 281895622, 193900081, 53028975, 967930747, 589330673, 131089561, 904854366, 591395509, 519102039, 157978136, 704842741, 660831025, 242312781, 995605429, 808039878, 7599648, 208419789, 895122834, 777804599, 675799176, 4969659, 466556598, 547403399, 6800609, 336795970, 56611159, 796274480, 462472734, 942953663, 775263954, 984364692, 737444285, 977402653, 789013026, 775065362, 421780275, 980222510, 682764376, 150018198, 686630403, 875195119, 492340963, 265431490, 868035037, 835675657, 895631763, 352488077, 149537863, 12955227, 970294698, 535870627, 231497858, 612751675, 188746129, 919206881, 80513552, 570775999, 409410748, 667027650, 981402501, 372954447, 571672319, 85518137, 470088602, 10641316, 368628823, 16200275, 856510839, 931277696, 60248852, 572844943, 561732605, 936488166, 762174959, 283482872, 142568518, 343420712, 79899936, 700895578, 454618924, 618947151, 810135880, 26145878, 290952596, 317714509, 10358530, 517443353, 928069211, 243237140, 756109419, 630771020, 792204435, 600129567, 933392418, 309929763, 718681869, 209558404, 414346032, 845235605, 451688597, 590039639, 225364932, 868822505, 562043201, 117553030, 453207679, 881484264, 236598664, 893583022, 606421640, 778785360, 544451503, 235240939, 710694655, 353205797, 107913432, 543774486, 582138670, 635583512, 506917698, 203028967, 501643484, 710028233, 363656922, 73848638, 941450014, 836594971, 541953461, 985120451, 81792045, 614885093, 31190508, 661388997, 378063153, 222362426, 440922778, 583458319, 778989574, 389675147, 272327624, 357584148, 376691650, 129559305, 256007202, 111472662, 256685519, 159057007, 971637971, 51025795, 561444464, 84015802, 654993487, 182015179, 704791697, 23809205, 61515549, 475187587, 268766005, 383431515, 675516060, 505566653, 607547089, 998153221, 354921480, 129837825, 767458434, 220768027, 825317094, 416034834, 317386751, 134699936, 652542258, 903775459, 991987514, 409484773, 60380519, 774316886, 611776551, 168009533, 295245211, 173485485, 618512776, 173822021, 261306222, 322432117, 516745068, 841487040, 608726123, 750719132, 281848606, 879065244, 463836917, 10884985, 764728353, 639450782, 131494384, 653909997, 328840753, 779949934, 49481494, 677930328, 733172154, 560094917, 365333213, 663572332, 914132032, 182281371, 731327710, 865935225, 364083380, 709981690, 292386635, 34426291, 757838178, 581828752, 206598244, 7610163, 17503622, 199029497, 271253890, 774298741, 672332343, 281576999, 139250078, 373206626, 127152059, 540760969, 786049200, 1519567, 262843266, 254311643, 893976612, 325888497, 388257927, 381866694, 44616252, 533342122, 126616385, 428290997, 656348225, 839706703, 140225250, 776414387, 5585369, 603872922, 930943271, 88745964, 803208724, 186303258, 48742589, 576898900, 571841658, 786517719, 108212747, 81457808, 876632901, 860384833, 941688372, 569021731, 149715112, 352671952, 712511884, 326807220, 347586542, 533738626, 448380399, 74427558, 808796802, 22239895, 564733321, 86765650, 707340043, 280205772, 363644332, 385105936, 975914745, 154890956, 917663344, 135706182, 512211962, 492333532, 711583469, 306230660, 231745094, 242927153, 400571572, 479157853, 12493947, 961848809, 631521147, 260077021, 972167508, 668303273, 590741108, 927320855, 707316102, 290285216, 562117649, 711678647, 204317108, 108119281, 926449912, 29062264, 725932470, 949659538, 877569940, 375181432, 463267263, 363056520, 679759736, 121435625, 246799508, 669340566, 538810977, 306554737, 253144594, 795522177, 50372655, 223768231, 949512332, 821304193, 966460199, 578516795, 796621954, 972661636, 765349915, 676762072, 103816652, 139450104, 486619174, 191472832, 60890087, 679830563, 575164020, 837976493, 195758697, 472046089, 774991289, 341631016, 212017104, 511732970, 329859088, 656930908, 160117272, 98495046, 626501224, 316013620, 893977108, 333934960, 367819380, 938350109, 995501121, 719857176, 430151380, 45686052, 53428336, 360812305, 505127177, 21533336, 723497633, 41336295, 517331646, 110666859, 735805309, 637549244, 576008193, 171012526, 995521287, 678471898, 433300543, 456993412, 45333492, 338074584, 108454846, 946637457, 566655824, 444851619, 770004731, 590527992, 329831278, 899215721, 691744857, 342323767, 583334479, 217839633, 680572771, 583806058, 426854024, 991463760, 315530042, 3913938, 204852870, 668207150, 164975995, 761618770, 640584119, 378462827, 171753637, 299727009, 852209928, 452870623, 942682863, 433191544, 473571336, 874051939, 765282733, 143881903, 417777563, 844866587, 492141878, 416800245, 25078759, 749181968, 748966612, 666550937, 438249682, 355995823, 773179235, 311334761, 928691412, 100708785, 884135793, 338266591, 467122858, 822645419, 813247111, 14879782, 188413542, 268442580, 547104173, 490328337, 989052803, 52096881, 370681143, 429705426, 9189120, 229223464, 529264284, 608626725, 808120390, 636226430, 429778900, 746587764, 27175542, 912310102, 717423387, 26237452, 996066465, 956174421, 184705179, 770960734, 971790063, 254812302, 240721654, 907655248, 729368194, 669295083, 869490044, 919283892, 100158327, 789158938, 975674178, 636734872, 472727144, 436118720, 687369217, 633730754, 84978723, 828216160, 792530015, 225778297, 188408595, 777436975, 341272909, 13092671, 994044427, 20974526, 426672291, 140293702, 712891415, 597637840, 421813799, 881848724, 993694452, 922937813, 152886100, 481906564, 747244962, 145770989, 412516565, 105969233, 784024866, 162250925, 418015540, 125547103, 236337926, 454160683, 102945238, 453180564, 589035943, 93796238, 474812029, 278924856, 114572044, 862793713, 551889684, 820843540, 105897919, 863191679, 817608931, 841528657, 395233466, 157437476, 132945006, 399927719, 654966331, 344893043, 875455676, 647293190, 76325574, 25411520, 186928820, 972607494, 385236299, 542052728, 793891288, 731067874, 808320406, 407087831, 19105987, 15495524, 595083548, 744036445, 246674508, 924340504, 534757679, 576097441, 525974073, 548817096, 708350740, 553508699, 87044237, 279100717, 906030297, 350063466, 614204558, 19246739, 11831662, 154849782, 187043054, 495334305, 95048459, 793512123, 510578650, 350798022, 856099026, 798468381, 455649803, 602533760, 610936216, 303585791, 589834693, 761905071, 903904692, 742279999, 170696339, 279424629, 476060064, 888095491, 192050070, 84142635, 626464706, 279077548, 58065529, 113702357, 656242511, 171440259, 668939809, 899947794, 804575974, 531464659, 866396337, 647867480, 922614254, 193061292, 647090655, 442994985, 812864332, 380915517, 733016226, 683244276, 699047713, 198840581, 725077937, 366031371, 639053940, 817938660, 378455836, 852902849, 60225041, 703806579, 170749223, 696647746, 875129828, 885222977, 683439174, 291447198, 287525287, 959434763, 996872855, 169441342, 614467745, 356962909, 244063030, 557343149, 355857953, 150661551, 948851345, 29698306, 326028964, 708336687, 107652271, 177546313, 684799865, 638406306, 196419888, 911746604, 340874785, 612900208, 855609897, 451903372, 881462907, 206127427, 229998355, 346917126, 694068970, 121633114, 741354165, 152935159, 484166457, 196531653, 619894567, 390712194, 344821207, 772250157, 263491712, 146287106, 865193633, 47371164, 556335327, 605213454, 168079108, 23060429, 704603889, 85177015, 366719725, 818907135, 122378211, 703798682, 328411040, 683158068, 489665260, 172915715, 71684679, 945383699, 920030102, 279977272, 54163555, 457756518, 118075789, 348803324, 601528285, 711650619, 119420506, 191899130, 438716898, 639527244, 645136884, 265075376, 922176578, 891006050, 567473580, 102061155, 840235902, 811145259, 636089505, 386029975, 998869729, 162873773, 348991673, 49637179, 225570860, 890937767, 88084600, 542833900, 458339028, 162587544, 773809302, 899579923, 332929066, 770136031, 418730503, 952830489, 221680398, 653805852, 697760781, 998075532, 571869827, 299590545, 501941095, 230437750, 515858494, 436251217, 431323955, 354149405, 480160156, 341410161, 249105471, 304620439, 147698371, 719292790, 477126636, 422108517, 330676475, 887316971, 490033984, 606919780, 373801273, 345174033, 784228086, 152396876, 648223286, 928411220, 261481730, 996228585, 553865360, 983667404, 943354259, 766121054, 60920616, 570291250, 562832031, 711643057, 646741085, 429179648, 845405466, 868932865, 213685978, 618782673, 46147872, 680347298, 768671587, 474118820, 871570096, 850207349, 890225268, 21975411, 468205185, 532370177, 322398059, 979427189, 368408284, 897357146, 712619859, 264062891, 513628272, 244637469, 338908968, 384576389, 958562677, 707789508, 253830005, 119623732, 580636375, 450138362, 951049246, 864552823, 526905486, 346056815, 227505520, 739579256, 328655604, 694647750, 93035742, 970956280, 599110152, 489614687, 253220215, 483834753, 853541464, 64819895, 491025962, 375846015, 608810189, 541845267, 574836617, 840495010, 57416689, 775700255, 213932135, 495092677, 572863042, 365019412, 887230762, 803744113, 363346409, 338361299, 624100128, 105844903, 140346667, 442584969, 242989970, 888763991, 282869829, 545002258, 625728729, 640623548, 368207580, 384401734, 456201992, 79964077, 178673941, 967345882, 714112795, 368958080, 872096350, 584264646, 233800405, 359281307, 405256054, 803315590, 929565069, 263415255, 947985265, 753204637, 575904934, 270590247, 293818423, 460675624, 153083546, 706102978, 536810763, 921519181, 115542993, 117972319, 430165879, 905026567, 889033577, 627894745, 999162063, 289151607, 575993992, 602044487, 575739554, 374800074, 853742089, 17696438, 856456879, 923021309, 944446022, 915564768, 414802849, 691675604, 283675551, 727557613, 548790640, 648014782, 483713699, 563747119, 73642924, 935760491, 16529363, 925453877, 238426343, 447760382, 613530313, 311695550, 959379696, 530605434, 934929149, 253603769, 427331977, 143714389, 620506994, 122306381, 855613096, 237628629, 893428467, 733217943, 687111275, 475490308, 786949123, 292310842, 470784713, 970667122, 613657461, 550068946, 329927758, 621581424, 964197548, 961755402, 138518147, 720468683, 364322468, 513699901, 953053497, 483097399, 252575178, 715262115, 924198454, 14202756, 323151032, 307740192, 679128964, 417424863, 418254686, 150089771, 731232550, 57915470, 289389066, 849051578, 288758271, 750622140, 906262607, 598845872, 419157074, 910958545, 437307376, 796859359, 910689645, 124121895, 977625773, 161859296, 868931214, 524749267, 191495816, 22828034, 693241399, 846412502, 720800051, 38345478, 22239635, 596445876, 993233257, 575146571, 292935050, 951756400, 207342876, 756816907, 890147733, 962438281, 88635936, 461112149, 288541210, 356713615, 18030775, 300585354, 404921150, 298756368, 643454680, 604509324, 280353550, 343382812, 644824944, 628528571, 796898361, 705625502, 348241584, 522971638, 940272105, 670030665, 622504408, 209633423, 829446576, 733724305, 14894230, 332404192, 764183346, 697936798, 836996598, 193429817, 805321524, 129774688, 152867419, 117270009, 116270730, 117139643, 515643885, 134167237, 899429301, 743846486, 744600807, 347219890, 307537067, 917631171, 85981471, 618737441, 202423707, 710405065, 827939943, 432067578, 539495006, 262131951, 252496944, 345784693, 236447727, 262682314, 353176975, 295532328, 592943438, 840152109, 844629580, 787669253, 760329907, 875736812, 30610988, 715521017, 890962779, 502154232, 651168504, 101205061, 500047281, 462411760, 847338160, 850378956, 552866732, 628781920, 591983596, 61596028, 75629339, 291843338, 899688657, 563158737, 368618987, 465314095, 211096072, 999967088, 957607158, 624558566, 393099126, 923712184, 538722309, 209291051, 833820368, 187648852, 588007414, 93789131, 134491654, 896624597, 278302996, 352212860, 222887368, 407041294, 395364959, 473592941, 919154164, 766873386, 887733147, 891045623, 466627342, 476636199, 555705674, 221525483, 167430190, 205397526, 338453757, 457177682, 984120762, 507269785, 714309866, 826892208, 955298543, 609340947, 208419625, 357825463, 153123096, 24550810, 237104917, 298945784, 300065436, 134875197, 206048146, 977579488, 248048864, 178230290, 325419049, 636194574, 200233705, 884312428, 469853719, 521244654, 43757586, 477800356, 131815190, 9614230, 125623341, 160204613, 723487045, 393429860, 506138861, 748050087, 216505622, 428745880, 439246633, 105122793, 360152691, 739398116, 703421232, 762710670, 4417631, 875725545, 671919113, 646075898, 417051068, 152729620, 827152007, 419992279, 274906062, 368805966, 578243597, 431701844, 540996826, 368503054, 100223834, 6925639, 743141532, 996743454, 695902999, 799972435, 646077527, 367027618, 684275681, 28111611, 707790299, 685875956, 188913153, 549609958, 490388077, 945957236, 447950510, 291655772, 198834480, 240207540, 56375478, 135863869, 943149081, 539646972, 686309760, 836040569, 355733037, 399272693, 665414869, 274836968, 430053169, 153002161, 310363854, 300394656, 316177227, 959585470, 329656715, 937787755, 501519571, 69604089, 770752234, 604575731, 203220648, 605030278, 17100666, 103316888, 116278407, 848868553, 466895933, 452479604, 658014087, 518548113, 785697004, 623718719, 911844408, 119916554, 289109913, 387393605, 366826161, 612856139, 387454134, 824823204, 148377151, 24454695, 796794540, 406969543, 478181644, 877997627, 537965862, 450502005, 530769405, 680094712, 626391642, 190621038, 572693169, 550322291, 752392934, 115769903, 474236550, 604659760, 596891387, 915964502, 168088390, 896487687, 345711288, 400778763, 201531907, 416556819, 704691152, 715057004, 350379569, 70462847, 360366358, 187692237, 236998184, 224780120, 515382569, 82313641, 100610642, 396804862, 687587314, 674809803, 240515064, 74628245, 88090338, 505331229, 772477834, 834663801, 612434551, 451217973, 288657377, 218544844, 338188426, 304417961, 14231615, 712809294, 116516621, 285351867, 403395180, 944326705, 480253888, 886586784, 982679369, 535862762, 40617365, 104969351, 659375448, 278843628, 412242163, 974950668, 980115132, 292049327, 713052852, 598654269, 37795526, 243754245, 454807965, 865082013, 53568663, 69480470, 776517001, 484528574, 760849623, 709451648, 720441103, 645073903, 998112091, 283866198, 276871890, 30472217, 177787664, 470895394, 273713889, 274537717, 822413671, 595361545, 875765540, 273220472, 302089729, 719203317, 882176885, 896698022, 389471897, 879478738, 454212763, 498852814, 512452185, 975874049, 605125368, 613225374, 88811777, 682164229, 830174441, 95002362, 172035520, 315347889, 742060259, 901871503, 756086464, 706816978, 470646800, 681319058, 771198083, 707991185, 411575008, 522778711, 327198309, 364574818, 191718788, 314794667, 199694872, 523278837, 546412798, 395561336, 709139341, 452919949, 658822136, 437771336, 531041388, 42059354, 8966291, 395966803, 479978634, 833893460, 686105890, 224391836, 245260614, 707588954, 835406969, 471787119, 882050607, 417622769, 676472317, 115764444, 836397728, 53542297, 209530097, 717525985, 431066043, 178074630, 232456629, 386025608, 504415119, 141338774, 11308283, 466394067, 476076898, 268996803, 675230337, 528518865, 882346773, 347150411, 620038422, 615700966, 723825835, 457876233, 240737583, 132520789, 758848344, 77480890, 730223721, 818431876, 934199694, 568462489, 383630762, 267382721, 440104400, 509058973, 213298495, 830591832, 8673465, 888904400, 443925390, 870436582, 257096409, 253168124, 766300920, 423864735, 504415878, 800982396, 812945447, 742935086, 45178428, 77734096, 97738023, 364205718, 407314964, 847551504, 8980554, 628278645, 330588329, 986449728, 801358523, 624719726, 411037102, 140038296, 895068811, 804559670, 146313160, 303095213, 460826122, 576921814, 311197466, 207374544, 248569001, 52157434, 927953772, 550175162, 675567409, 37348313, 731537513, 979344443, 960294174, 663062959, 233653184, 693110223, 786970374, 532676734, 432022803, 641741557, 78151892, 564600076, 55153456, 257591747, 551371472, 120313963, 293354834, 920725037, 150941070, 864036605, 573980884, 619103892, 856749562, 85259387, 530877923, 241261792, 785121900, 898138969, 322424163, 759848624, 593778985, 618276939, 798935905, 520431106, 531081413, 559271011, 860646386, 165011865, 18040411, 527898715, 401028363, 705033639, 14357341, 99621530, 314388062, 81154556, 14199232, 563950509, 915675389, 173279429, 164393154, 571044218, 190204400, 425623852, 39549865, 732465608, 947073689, 893338641, 730553450, 596832284, 445017087, 992392956, 231226530, 442944278, 91993129, 352906011, 326648056, 544059966, 80275355, 796725303, 642459031, 922661968, 687487945, 548496859, 414286702, 120422141, 907592129, 151890326, 527715000, 485023908, 312782587, 121882739, 48259811, 142917657, 125258417, 387547439, 830654674, 7906821, 68129701, 653786243, 920396749, 992131615, 504293479, 533122480, 414552247, 852183165, 597882506, 19017762, 869644325, 914867533, 895179236, 819862134, 759918382, 915056947, 764824188, 939575621, 9021934, 486261658, 34127357, 158351237, 692256744, 681337104, 315574000, 78430500, 649459949, 541498056, 444345595, 850318596, 512078329, 392579089, 782868596, 865985679, 775931581, 626825322, 827585091, 412854542, 568566405, 3760406, 978977859, 762282953, 964455121, 396621288, 801266022, 944712296, 357705644, 551074925, 588911935, 926663973, 933895611, 829075990, 673324443, 170930382, 866778608, 977554413, 979923613, 166023299, 221516978, 49053165, 82877238, 225548548, 33666987, 987429038, 740265531, 458903688, 675422526, 425067214, 727816943, 648307173, 148258107, 48400, 95223184, 105871026, 870775999, 478699666, 803407822, 26022537, 443670024, 127275273, 531827413, 169704872, 749400111, 110199891, 266498310, 445269394, 163316132, 590995942, 976168330, 665783772, 611597545, 808822897, 317716251, 469318947, 835554344, 513012861, 540231700, 18317706, 102724476, 764592422, 407910930, 757683153, 146452200, 333801784, 835565509, 660435288, 921298627, 455512014, 212870121, 632144396, 366796654, 678109705, 169496727, 947561338, 366176995, 562441215, 327949150, 326507344, 327955717, 389079708, 495530490, 698082131, 994671478, 580633221, 486066916, 650254138, 895903517, 763998096, 919122789, 427240691, 356559227, 432804726, 908458900, 313584380, 534315348, 319059156, 559202609, 390533968, 634070809, 308586957, 656609052, 551997733, 991473410, 440786043, 598987432, 262856529, 504159824, 817726381, 277132136, 166587124, 397475745, 437477406, 739469250, 406689907, 442635406, 757542888, 939534755, 450973882, 894137527, 278747042, 621515163, 683958993, 820913491, 244282983, 756765444, 850854402, 10152935, 674217446, 498047606, 473920692, 473419681, 922730254, 527029587, 639807468, 644993823, 609811911, 566064561, 57047204, 201838967, 20146402, 910299168, 290537006, 467908135, 988162920, 343247051, 864198045, 532086584, 959250751, 953248675, 461774256, 804313758, 611213934, 814460400, 481252712, 837786346, 729785151, 43962093, 807677606, 430946372, 251009254, 790632542, 951838745, 292877528, 422631983, 807595668, 700997182, 127479338, 533590459, 24922288, 527041774, 10611498, 838448041, 72090628, 332663451, 661253717, 547709072, 777824794, 308068607, 417540022, 955802071, 585092165, 507286437, 895235525, 225856351, 330403750, 629901368, 647371895, 671931348, 740872536, 777212935, 968691031, 814013576, 992264008, 737775010, 846882027, 614915285, 270035675, 878447019, 6143829, 123506274, 389857252, 537839807, 691191997, 155045607, 598508067, 587847661, 147517094, 414495345, 220569067, 806820188, 835278251, 762571284, 545958867, 895070529, 942357838, 735640985, 481480980, 816070281, 13119778, 817160526, 92320522, 804124111, 455020820, 224306786, 859276749, 259623313, 446685209, 891733262, 411791924, 999165936, 335930808, 425484389, 206406021, 294046158, 49798698, 550877047, 237161166, 941009332, 458676934, 786951242, 639240677, 629364901, 414565089, 486539256, 364632231, 668062795, 722730455, 391373243, 352881751, 121798368, 995061107, 591032185, 150615892, 442584044, 745641376, 662987025, 227016895, 359839681, 697830852, 620886765, 766129041, 736726878, 284996443, 890025582, 177695790, 745023471, 251472510, 182922970, 508974360, 279141860, 923709787, 456277138, 638049116, 116521120, 382262159, 669255320, 830796365, 824479453, 794693634, 681948553, 894373502, 328747678, 864485513, 838625639, 98959710, 698385626, 719121740, 563268221, 126075350, 256878478, 267930928, 643837003, 396531760, 288420261, 575623270, 954867513, 76288095, 300820423, 137293858, 504123554, 225955642, 687427144, 833368834, 347759034, 41113314, 640143859, 81854420, 610780925, 478379480, 129367061, 360294445, 571359139, 427089785, 587252686, 637044626, 744555971, 724875231, 861307602, 936703235, 567941550, 705457068, 301139008, 846545798, 218353739, 806631147, 90042853, 965649597, 762712263, 488958661, 889905523, 622154837, 13170042, 923906316, 440139429, 334704619, 94565509, 503337427, 940514073, 74647368, 565769922, 348625004, 797237524, 202871051, 10687597, 680781042, 367319681, 649045910, 757948988, 388824208, 515936490, 442408645, 298597613, 911540058, 199910139, 5970166, 973675571, 733591705, 154666287, 536389760, 455738994, 934454788, 714077695, 650008814, 114989652, 542402951, 812961660, 443572409, 297485486, 692134086, 282277901, 643831506, 684280302, 910718671, 6046757, 911202254, 999958596, 599351672, 16895306, 695246968, 335467544, 312861148, 914152376, 740602364, 418903541, 783782627, 263968089, 861673978, 87536547, 908828136, 627635372, 938905415, 353971814, 128659112, 533074038, 684485059, 950684951, 246840247, 889537067, 116399463, 104663759, 592237175, 144550341, 502678268, 128968695, 999236791, 548150972, 267088905, 505882298, 543917403, 640665773, 714468921, 924116603, 454716059, 890843806, 45994820, 316981011, 635481476, 775362750, 930803004, 150552571, 846304960, 153611133, 326999337, 296852548, 37237401, 732931956, 480244143, 566518230, 859380869, 816985397, 47042691, 983932457, 212844320, 806847046, 975408547, 636672977, 924373197, 935508099, 79806626, 760988245, 423696738, 149942084, 791787743, 209963025, 552633484, 292901172, 821758315, 224076172, 535221954, 223853398, 999582611, 945129968, 49812709, 177590203, 758987378, 960848979, 833116934, 51027106, 424579263, 699734263, 102644325, 962878294, 453243740, 606885333, 754856338, 866934442, 404667100, 489763824, 547323945, 162982510, 152931732, 276574423, 182050969, 374287071, 262628343, 979523447, 589354171, 123294786, 414697229, 592712394, 478226358, 146943273, 704291884, 981139613, 596805868, 685777285, 174235915, 744126673, 382667107, 412392724, 249716142, 650814920, 212669066, 878650706, 320983569, 345098538, 812796189, 425592653, 570747770, 155074130, 379089732, 354442062, 626909837, 16901904, 253294429, 542515372, 414194026, 693046379, 264754498, 273001819, 383541456, 648370199, 207662666, 364995095, 656572820, 484008022, 631128552, 941464516, 377767295, 927844834, 395125563, 622926796, 180442649, 325800157, 708731403, 412764162, 996964429, 784760998, 608087087, 87808976, 878283239, 178419143, 704813323, 148297349, 621229496, 779090208, 827050870, 404238830, 183015273, 138453150, 834588759, 557135585, 585089811, 644437177, 993243931, 449611380, 384192443, 683602224, 452042881, 156675609, 427401731, 6380658, 916341775, 410312734, 187457312, 532844424, 242971034, 780598650, 573209722, 648251402, 133918559, 206798296, 263308005, 763114301, 52584, 600252984, 850995828, 374245446, 814423717, 412821632, 129275757, 558065168, 679041488, 985564503, 675565808, 188992036, 683949114, 184580956, 683010189, 711885849, 593297161, 24127831, 279947354, 811963258, 663041177, 631985183, 464578151, 118280454, 148809173, 234803329, 921105604, 552622660, 237321859, 264673620, 568813722, 552564886, 939780465, 849121531, 449834980, 456548297, 409219868, 263603677, 102620956, 231263633, 384729003, 222614374, 68469514, 598864564, 988996689, 13946001, 337731884, 535888197, 501071619, 996626537, 922211125, 217100405, 660828775, 70235628, 826954083, 709453408, 212490331, 533692059, 97407291, 702626770, 351010468, 858840274, 875061410, 788058667, 407703510, 652351048, 211344532, 500786749, 159317529, 583119935, 391936626, 680468775, 553713350, 429802987, 564423502, 933088134, 336646493, 938636606, 217829921, 900406752, 593831058, 767391294, 271748548, 822950156, 227219979, 64605813, 947573570, 183296840, 940509960, 948107718, 768271879, 250146981, 129716266, 904412852, 588395391, 815149788, 528099452, 150016703, 813220612, 914577629, 290976184, 753181743, 21281645, 674174799, 503403287, 780695392, 718582122, 264188816, 716167129, 30517959, 73982598, 826335924, 357765273, 963867596, 649803322, 462992156, 582745762, 455351967, 689342044, 370709269, 816593034, 640429942, 668771264, 778997875, 333393671, 411482311, 608579424, 446681207, 410371876, 768093514, 330294780, 495084100, 910279208, 997137327, 238906383, 578555612, 1029079, 538152030, 750437212, 913195992, 657978350, 412211985, 677632167, 345362827, 756289171, 488583858, 177004470, 348821051, 454241609, 791951005, 348887259, 543130138, 664574726, 135383846, 5584222, 194432454, 601083661, 756182290, 897314650, 360886136, 815749240, 81709728, 603740120, 340579047, 885781871, 873799520, 578298498, 729096664, 765460390, 967671850, 898604103, 939878592, 861921995, 73786669, 962592447, 706753593, 220393321, 710539908, 454445001, 622348557, 84237956, 434991323, 491554004, 717626383, 782342803, 14719726, 689183368, 233372998, 323913118, 582498076, 179009198, 263297456, 657722521, 260440516, 72244391, 183737589, 441287707, 101258909, 495706214, 900115512, 477765295, 688619540, 602259372, 700836527, 147971017, 437744088, 961399039, 298626588, 386716142, 352064192, 971860471, 430097276, 159314583, 413364675, 615227276, 589224107, 611514724, 1749386, 864251574, 2622094, 792715873, 992555172, 276562566, 562349686, 835424155, 117069395, 427040066, 417183303, 81231531, 773745198, 894680142, 99980293, 108622086, 789780093, 575881254, 476559007, 521012790, 187597816, 75576626, 937188733, 3263277, 677100482, 617387746, 565779997, 992741604, 34580155, 272962036, 737444924, 286654409, 292251364, 164487979, 178868613, 839174363, 250469679, 963790825, 122470609, 443480610, 247798534, 621797607, 238590922, 330662362, 614736096, 621029827, 16597716, 148397080, 222638023, 489994244, 245587915, 360145784, 230520939, 947464863, 920922846, 191227198, 818313940, 783395239, 657676398, 409494398, 903216709, 12431143, 334123739, 141556947, 428631934, 657629690, 409104360, 789077997, 984825556, 657492905, 972487456, 957655175, 995187421, 626869515, 21651676, 333341035, 775273287, 243967810, 688040499, 51897725, 130064304, 510081095, 492695411, 375239975, 890146884, 542568786, 163479187, 770113442, 920708329, 497159816, 490019422, 295222630, 850070042, 537599594, 626973130, 210422729, 651999357, 608546472, 380378171, 386778681, 975481131, 799353288, 109069647, 242370997, 50802631, 149462687, 526685557, 567106193, 19126507, 186975213, 210294469, 312520538, 423548066, 400598869, 738834499, 836256750, 950713632, 453939156, 748152535, 416868278, 210376251, 870178445, 539751958, 666238609, 452324448, 167891190, 421320542, 139172522, 838600774, 971494377, 237626210, 529866300, 867461824, 538970439, 690276716, 91202303, 863134329, 420572234, 565585163, 520494980, 15552642, 349663655, 66779176, 814713617, 593286239, 61908672, 757838985, 476496362, 253703257, 851797305, 360471958, 177494138, 162474121, 816525649, 681443077, 838702697, 547058950, 449890373, 684005683, 128563422, 40669734, 560570704, 498292407, 212399549, 906021364, 884940784, 492443529, 964991069, 91738021, 420237397, 330690904, 548180932, 507152081, 161143526, 874984092, 425563178, 438659084, 917142825, 630820212, 347875881, 888530107, 27302338, 653427566, 17010420, 103206963, 923673915, 806873087, 472492983, 936278116, 175989199, 612770188, 305013586, 764165513, 579323647, 597188681, 421196188, 10351270, 174811512, 661410711, 444223204, 892308936, 714638616, 214045485, 244803794, 63347878, 232484557, 625625351, 516074314, 161495284, 284403797, 721862710, 236070795, 45045473, 819762680, 933263924, 467149005, 521232829, 235860463, 302266719, 890156281, 977064322, 785565922, 2699785, 854444781, 154559333, 619567108, 509171112, 479428286, 82511479, 547067716, 850018361, 885272771, 610574071, 394571382, 54774362, 758523993, 9685369, 236288847, 676011886, 442796185, 763584235, 860378606, 730483800, 77810020, 648680343, 262213181, 184233203, 818188209, 580853128, 249401709, 573749398, 203529869, 95703428, 412437341, 830475419, 861733328, 324544574, 713705898, 895200743, 815971892, 304170217, 925518890, 999432485, 430773541, 912087903, 899178438, 701133194, 656559694, 764502132, 777104687, 449749601, 938139078, 52704369, 168631253, 546957116, 676778833, 425047115, 231118081, 299668358, 531622240, 800569465, 543138473, 351093289, 318092949, 85633899, 48927015, 9386, 808345347, 6506291, 275644013, 72595825, 856459083, 347368048, 72601957, 521324052, 804555550, 783601344, 351304823, 843621859, 439528836, 923776967, 672533642, 409345738, 188675582, 66626254, 233776742, 60426751, 83845930, 184759396, 87353864, 710282049, 795657628, 170310358, 995919337, 535480956, 380223183, 966464940, 975350672, 436909863, 318785911, 185287582, 567160256, 311347019, 877575241, 727359010, 154008765, 716017157, 619763331, 225356571, 955671123, 964523037, 892361196, 630607928, 205992123, 975942397, 587866958, 295628805, 993885084, 705196272, 151797521, 293762346, 546538681, 854768371, 177162023, 400776645, 67110226, 74162669, 792575153, 422010531, 180858590, 527488238, 478127225, 319341355, 741773621, 278361549, 759553550, 981574239, 93059066, 665667665, 29674932, 617666309, 456368401, 412505023, 146191635, 37248584, 129551176, 119098605, 116537905, 423985019, 960967156, 173118705, 166708789, 152346463, 366155269, 954010383, 250865473, 159761164, 641634808, 345542217, 750168517, 762481303, 393810957, 514589969, 236837506, 950294301, 113804528, 905884523, 614693722, 702750785, 159214789, 4183336, 271446975, 184221641, 220521111, 699949129, 434119007, 98951430, 511080258, 949616155, 501618580, 454205, 818212007, 200136492, 262067591, 654047254, 735759937, 933481115, 481798487, 192665089, 655984129, 716281152, 912588041, 348430245, 644574839, 17152011, 583887522, 486972618, 929845275, 485562404, 500601904, 550049053, 220027565, 928175067, 146570897, 641005747, 111351196, 427097719, 465573341, 990278147, 562203109, 960481325, 284301345, 92919018, 870907868, 417026272, 404726953, 138369165, 412553422, 615792589, 6590279, 597298465, 514553976, 442278474, 943765408, 399623748, 659683189, 577448622, 560015110, 974203732, 594130544, 626993077, 378384483, 202403614, 999415583, 191842503, 110284832, 924046838, 740088176, 317075291, 458592686, 413030060, 197516929, 912950899, 3381547, 911192444, 974082196, 556516170, 656207756, 726166636, 82477490, 808541369, 307664337, 27286737, 212321281, 802215508, 911372117, 294524810, 625037215, 169420358, 490918314, 391123197, 401855021, 570192539, 540467354, 241826140, 215001976, 384632450, 629660897, 497546998, 367769637, 226945926, 915460275, 12895030, 711444924, 12603750, 304150925, 784508077, 598105361, 689888138, 781782316, 645582531, 231762739, 485456153, 301006249, 631395212, 88328698, 626855473, 78474935, 953038004, 220791330, 147455827, 729800214, 608048181, 264439328, 19382750, 193575665, 879133499, 588840388, 334491760, 950062741, 931437957, 929289885, 540994044, 576394560, 762770056, 200781985, 453885333, 761631019, 66557506, 216393037, 338673320, 725062223, 81955080, 771059941, 403548130, 775536104, 634185613, 589541121, 746431719, 10317430, 314324711, 869847053, 847176438, 551687470, 640269676, 565272761, 587268088, 42271445, 913308827, 475405227, 322685705, 319753566, 320150279, 769575142, 581704457, 164623981, 114095409, 962283107, 509682157, 971286224, 547676267, 71718632, 532906223, 803686342, 188267015, 955842795, 249023321, 499621278, 547658021, 877820003, 846193429, 890772310, 389226292, 146468334, 414646320, 789405999, 577951761, 761692941, 791579429, 805800297, 132303701, 849588356, 997210945, 138616662, 141764092, 192012809, 247641122, 337854262, 544020860, 417801760, 605498212, 172601219, 856352900, 320086795, 482161752, 473554377, 471052385, 870342513, 890973546, 458163780, 476111798, 217658584, 937700543, 724493485, 259769261, 345019985, 707191349, 521839000, 332284353, 113607790, 248581010, 956223673, 853803867, 661492625, 415499961, 351450992, 72810808, 492750971, 343654037, 386701600, 163090083, 933892156, 358525100, 117815177, 973284243, 397679224, 188936796, 26315336, 134392689, 686773810, 10007163, 184573631, 577501941, 577182257, 635685863, 743295786, 223581928, 387280373, 474422497, 134673494, 548971680, 816552680, 770947336, 762954504, 489581292, 846966708, 822915629, 504626010, 313555772, 386409606, 924459614, 8711410, 903029174, 593514513, 159801793, 568214572, 302246488, 399153636, 576301473, 342546836, 762657423, 738043402, 146986851, 167669530, 607048554, 727410353, 978873334, 518241451, 500690524, 960965324, 749357832, 8657608, 500827035, 686038037, 340253114, 730715442, 688366357, 514173576, 311830586, 460972543, 612870767, 641953057, 8426768, 36199896, 943228534, 113532233, 629284069, 61482207, 305247873, 705461987, 933705807, 5150676, 398822914, 290372884, 129418006, 197045422, 143751681, 885606956, 748864761, 766416878, 637763950, 127476586, 519356979, 253083242, 521076517, 732325762, 969790226, 429473671, 571932583, 772715114, 199694748, 366911495, 705389596, 188722396, 535263218, 280926958, 535456401, 395159182, 252865916, 849248807, 208473480, 259911586, 918017196, 284363373, 106097923, 566965441, 576577972, 555176605, 835795698, 239186410, 692641488, 597740841, 848980741, 613136138, 716851116, 545133222, 382691653, 42705004, 508274380, 563020701, 340256894, 985647396, 386458544, 448302055, 590128900, 252310619, 935164636, 488651132, 357883355, 142808530, 280359688, 630063882, 325238637, 312048682, 897941133, 592049755, 959044588, 422991282, 80397567, 418221439, 864178651, 862507275, 324402983, 370514269, 171695377, 883603801, 993478750, 892329317, 658010808, 948066574, 624917813, 623271738, 839679608, 218001687, 870279148, 137121359, 761155176, 33643354, 908286393, 947566974, 725398669, 607675997, 478376810, 931109087, 893451557, 621602227, 649455366, 969016750, 813268638, 15620283, 463771504, 460062575, 868486248, 69460260, 915932223, 150875904, 926827013, 700896282, 84576471, 283100109, 793285847, 248613801, 964337021, 149804717, 174858436, 922506921, 866093282, 929899688, 993017102, 594371844, 355188813, 499182596, 394865342, 381142891, 37342369, 57440099, 27852524, 800638700, 859732169, 323328312, 297879488, 83271607, 300536209, 657086494, 832678735, 781515266, 197979233, 839955921, 668699627, 297551522, 252319375, 589233114, 897839839, 377339424, 701599422, 975302032, 359662343, 885136235, 334176095, 316209996, 340466966, 213824721, 107123455, 449458420, 411220237, 507867035, 986145723, 242727588, 339833855, 251916932, 991398011, 367197349, 397710634, 350853135, 558653765, 706495407, 905544704, 554287438, 225927814, 337792630, 21557249, 876963578, 557266983, 598622765, 513144480, 582066903, 595406895, 555408282, 704251407, 551445675, 815135034, 804254835, 475054968, 947505929, 581011258, 446587580, 888424093, 622241243, 170902235, 776986169, 583416425, 290628978, 394817621, 682303907, 204082623, 226658283, 400619232, 133964511, 155404524, 885872580, 649072924, 438148928, 106496308, 800716092, 615673839, 247799052, 87419517, 96406492, 632327768, 735356546, 888174479, 801745470, 908992553, 902686302, 569087256, 523865593, 734459208, 586007695, 986163693, 730280350, 444014979, 833852555, 530325312, 249082171, 529816604, 354191443, 426749226, 548885293, 987041121, 42460755, 997368616, 787130725, 739157963, 246428028, 294018789, 460021994, 979475731, 999439113, 912799385, 731475172, 148413701, 716343147, 393203298, 918113337, 300670368, 337375907, 355951288, 80797459, 364506279, 524771590, 322896716, 81623858, 582469632, 429962570, 465401608, 429523426, 338898069, 228816992, 764910263, 470744493, 275444885, 808163604, 175182102, 280904963, 417318779, 962944015, 903813670, 925780802, 848395568, 469448459, 927941783, 391592418, 288197896, 777214732, 225431925, 636633997, 529099999, 557277774, 509426363, 572834112, 581457277, 956997180, 41299115, 647967972, 695387926, 288884303, 426967824, 851497140, 912734607, 831388435, 329545197, 239029960, 827965556, 247423221, 918519026, 166606417, 187770408, 563074624, 928172608, 883578815, 924733899, 881323138, 3229861, 958815508, 840104184, 156221349, 97354273, 388289570, 306285712, 247740926, 622956133, 671017117, 58527743, 636033194, 722298518, 334576284, 145875078, 466397008, 563411732, 620282185, 356184565, 482700155, 933987561, 991879254, 509466632, 121321018, 768784756, 958514006, 271921724, 703850529, 13011801, 644328450, 279076711, 325568836, 538383116, 656915080, 196990032, 657867505, 51183392, 581529272, 668468129, 959187622, 39720125, 207377348, 357212793, 75746425, 732421617, 722385227, 148914281, 797948173, 289998138, 331585547, 230117676, 417650578, 219333676, 404720802, 258300267, 937639501, 705031390, 372436715, 509469557, 219896258, 625016998, 332621350, 346013590, 441128769, 818081599, 731097083, 754340198, 439093930, 58753445, 187692720, 493805860, 362049599, 589015914, 769982165, 185507227, 771735978, 140678370, 593851678, 449693266, 516090507, 27140571, 839645578, 342150861, 259361806, 323598245, 175787642, 24232975, 491435599, 274638754, 620487103, 59529520, 146501509, 119825704, 608983596, 658983579, 203850815, 425503271, 483716517, 204694046, 915511790, 572720117, 250379940, 148711341, 1372358, 889874164, 587127722, 428653894, 934402351, 686988933, 274621598, 325092206, 577223425, 805666669, 573200046, 893035667, 382672352, 349539797, 27085997, 117231921, 755383126, 166500593, 471601692, 675315352, 46464007, 89231492, 11573562, 896539293, 226475324, 263930525, 283211442, 465373503, 262185281, 248795052, 416511284, 748804216, 290537719, 554893865, 619975645, 309526347, 560668904, 58323349, 681268819, 209452359, 898473036, 865332760, 623338180, 21616943, 457993979, 594725406, 27922920, 264277514, 370093882, 79938127, 361156308, 906155121, 333225799, 4221997, 539554232, 150886081, 180920924, 554379432, 179097337, 556914044, 707205176, 101193584, 509426953, 384504620, 680228264, 938175281, 300555337, 735002633, 942318179, 773404290, 772153431, 233729323, 903893, 481263995, 314949467, 300438565, 506848498, 653419194, 955734197, 690799762, 617937947, 758477355, 248617754, 767305073, 756694765, 170898429, 289062188, 549584902, 691627679, 996054102, 171037463, 937784064, 624768337, 500635287, 775538659, 908423889, 507493292, 870075232, 249881153, 623391594, 762107006, 700684426, 44836538, 969608968, 620251239, 670534097, 701402059, 7446170, 6355609, 299827955, 414077752, 529092127, 715011607, 685668266, 30691379, 84981811, 456470279, 938959914, 832579667, 710149014, 695120985, 237535455, 97243940, 728868186, 990579948, 214705724, 674262589, 111706221, 566479310, 143416720, 815914759, 902882295, 100696224, 506888675, 559307932, 936043683, 269933655, 804601230, 31494426, 398537744, 286644421, 937704969, 173919202, 717402796, 133195587, 565684884, 553335052, 911690226, 405015827, 225749207, 826155734, 11034605, 397718024, 635946701, 450634783, 642328528, 442535458, 43894157, 613249290, 274014224, 595270424, 745585415, 242390683, 184719463, 835371057, 495763451, 72426064, 481709566, 666550074, 828813655, 133129806, 784545106, 571077920, 537785761, 962556963, 142436922, 284952774, 609741923, 742494673, 970358205, 552459562, 352561593, 46786297, 352723810, 648910768, 428459772, 163816700, 729157065, 988788663, 755932693, 907673682, 719923538, 883351668, 458997903, 534816162, 476492195, 882813452, 266985881, 566210348, 957902194, 271281226, 925447962, 516305502, 198371266, 696822824, 481643345, 666998721, 582817150, 74055689, 861604060, 240081894, 920287233, 81026130, 352872767, 923788265, 439613677, 239495893, 504642288, 199105662, 746579608, 52382105, 457654374, 238857314, 530986034, 578654764, 784489546, 453494681, 677038747, 742178080, 692138269, 67015647, 764583405, 386086478, 218146882, 270429837, 857575049, 895514755, 252665507, 531192778, 14154590, 853722785, 406452596, 443597350, 78026875, 18470934, 65908013, 929471774, 375551947, 75741706, 974266166, 457023717, 56079480, 530607312, 924002864, 136039180, 174381951, 53140245, 369504019, 408222308, 938051527, 872687747, 662325306, 888047338, 292865844, 60544170, 320014590, 493786046, 533109332, 369517190, 381498714, 96933710, 272441340, 644725907, 845161365, 135249944, 2191989, 257991813, 417008643, 425021177, 181706881, 85482846, 28705329, 727543086, 480196119, 413055196, 783912062, 29111850, 361260801, 75161862, 753857446, 408116675, 74986058, 95036027, 317169629, 668486442, 503955482, 5279347, 221784877, 28078184, 837063538, 191849259, 153213623, 584974029, 463178723, 527900564, 201307356, 250182478, 953423773, 89593762, 670443203, 739895968, 989290991, 141178588, 341335688, 7544513, 835779901, 229793964, 325794278, 791242519, 350275551, 817671843, 91670840, 251046176, 161768782, 695880370, 564530976, 642608495, 218312895, 719424956, 754053714, 81693232, 279710936, 431237832, 108070367, 331682049, 176569018, 828329106, 246186735, 181904931, 970499812, 268379951, 676558664, 537419713, 629208690, 131684407, 725680511, 838141865, 305643816, 88711396, 853722620, 849607654, 792845554, 92000564, 876429515, 825960780, 536444185, 255204030, 739952405, 485805306, 790926571, 400106410, 933211998, 291118999, 954763575, 472948130, 654090399, 908442145, 218624589, 869010267, 443869949, 648488543, 446553508, 519199407, 132744069, 210897795, 403627685, 556842444, 354211983, 846949772, 246453247, 995313883, 501910847, 407730086, 59876778, 153103549, 568707033, 309487491, 133692383, 68445747, 564127677, 229444851, 612939141, 105563056, 465352073, 664685516, 327016694, 535538899, 883131370, 247246387, 148825558, 766858351, 627593632, 180044227, 983741685, 538885812, 135476250, 614012399, 750199833, 972349882, 2855582, 403730735, 361454824, 580875726, 204364679, 253144924, 961094877, 603196799, 96497418, 569447050, 781182508, 200513413, 782876306, 705976479, 42861570, 797668746, 714689887, 825665712, 608506997, 733141129, 459889774, 498316981, 367562952, 758919828, 590312770, 90596658, 203869037, 703287365, 884175355, 582498741, 317268171, 111497473, 945056846, 73430444, 950358748, 612297414, 508098754, 889615770, 818469973, 22813555, 402666122, 227585890, 401847004, 556012445, 309055905, 8185055, 702769430, 240841533, 433866517, 357722566, 919833706, 566279772, 270040696, 746553767, 271471663, 510841330, 472814625, 175490060, 380555459, 61952033, 106375245, 531812494, 87785137, 195845768, 94010417, 182823711, 257823918, 150760858, 155211498, 303095827, 718846492, 671927542, 158467410, 114344208, 329149557, 384444114, 214657241, 987756410, 852852386, 523394541, 271678419, 587725996, 726185820, 832413682, 651436076, 211305157, 485974890, 362723098, 548876520, 120009679, 463804511, 129901646, 681195189, 247637320, 535564879, 237108890, 958579428, 906387096, 708397421, 88568825, 183243547, 129531850, 299699670, 104279768, 804604769, 531517535, 711288021, 527194824, 463913521, 157972838, 345950016, 758085846, 290731718, 829824514, 439277102, 665561866, 369671390, 868159376, 213414747, 208539030, 305408214, 198061691, 156104144, 784298168, 23381502, 589593334, 384437321, 687803019, 807531532, 593608385, 872356367, 75480640, 98420683, 802834282, 777799173, 824369555, 46892096, 180280853, 668459779, 712435708, 705659613, 286799034, 22445518, 877859309, 432319269, 503759211, 161251195, 718227284, 345699729, 977574586, 379105912, 304322361, 815543524, 711478035, 756959959, 268616941, 272714092, 538238242, 567876646, 673860600, 783065042, 329065250, 604936167, 322308350, 119208442, 591293564, 160698169, 229594080, 955515054, 711030305, 715575597, 658965845, 159907997, 359957510, 432611886, 696438040, 822171098, 325170550, 751882249, 314275667, 347497811, 754350820, 887827678, 572818261, 832743490, 110725246, 482118375, 33622281, 445596389, 337651337, 928797691, 91639312, 92364892, 774093082, 557542226, 845455920, 980223516, 268988407, 835026441, 65801842, 407742640, 77739318, 700830462, 81955126, 423689688, 324353048, 492752740, 97865270, 288492880, 190432270, 798144340, 213774556, 965567760, 285770192, 503333878, 597560358, 988998059, 743757431, 527463462, 347546114, 107564202, 819297178, 564142693, 887361400, 96405857, 426970599, 734468312, 288289985, 619823110, 155507484, 209692253, 390457477, 214301941, 1837416, 95205946, 429260591, 432695267, 174862726, 772303928, 481626398, 783134511, 677900711, 957065857, 37057583, 948871917, 641739934, 911511760, 352618639, 144144884, 642550638, 797834095, 463006664, 464388113, 728985125, 106574706, 844551739, 532767458, 707715667, 851689093, 110184963, 611739256, 513682935, 856429092, 326777561, 744972921, 877791939, 132978690, 135803803, 926136772, 968590174, 567882723, 694782523, 861682127, 152256335, 790725824, 596916483, 367571719, 627420629, 136173879, 198044353, 511070611, 442455017, 834116714, 701693337, 992900302, 771747360, 617784839, 522960141, 346429435, 169500046, 6071737, 316867778, 277787152, 188993407, 990685361, 312029437, 96117817, 687289715, 720968293, 900389433, 927588466, 639758844, 162513219, 710391516, 774529200, 562823075, 765712224, 266138608, 193301190, 214860502, 569621103, 488870689, 399252209, 673757438, 375409390, 445687655, 733416580, 531558204, 948227586, 946302828, 636845835, 162843359, 535088652, 704196763, 433614275, 976185238, 638199673, 18575114, 760098967, 714132944, 73926617, 969084096, 205996466, 925332702, 269773141, 662659411, 827610981, 351513379, 169478736, 340121492, 692665906, 709329717, 647919030, 490994344, 949825790, 520026019, 384548813, 696151191, 765437277, 148263379, 873730131, 940605067, 533176151, 846086907, 527762075, 715335656, 301820554, 230461124, 841050218, 630261373, 744228791, 143619525, 223674426, 240328857, 946432016, 374537753, 755909513, 472304041, 228392771, 951318893, 777143591, 597909051, 612832640, 978572924, 372443016, 712332806, 463371403, 983093144, 267849842, 530278126, 875006043, 375265125, 696106962, 338964489, 916735522, 265029251, 818473463, 448638713, 757806898, 574340535, 179918040, 431791600, 920277555, 385162752, 471660133, 87158064, 993161900, 99534653, 531834173, 937548633, 243645459, 271691341, 533753312, 443292544, 562033813, 798339860, 174427780, 691762520, 746633641, 594698411, 747607868, 289948115, 873140690, 408948715, 457545238, 790088344, 609910000, 92359424, 502459453, 993681303, 170578854, 933143308, 847159630, 902660503, 202816025, 961378094, 586870797, 6597422, 715009393, 544352161, 442388790, 442351555, 413270310, 364829953, 709908780, 948316405, 355401700, 832550571, 741420053, 415584444, 427590056, 579496827, 101833951, 649060577, 132455349, 150302460, 793979921, 268856371, 64571225, 594205180, 742588338, 613143851, 925893458, 573604747, 314432722, 784578329, 120615346, 945634791, 816299875, 720827422, 257689098, 497213787, 618589955, 830126427, 287617909, 435479642, 308682117, 393551572, 158192768, 24162952, 453280450, 798940506, 721966326, 706730633, 951474354, 94194893, 174866621, 632614063, 702367567, 761763812, 324931167, 948598417, 541163292, 384196586, 179582683, 374962133, 682696873, 277922584, 352332351, 541560896, 34363151, 225452952, 660202266, 266195117, 469381641, 124704964, 252546926, 925602092, 420243494, 3721371, 151605106, 860251977, 590861630, 468721681, 547860123, 883652779, 959746031, 823374824, 972573207, 551047867, 680876209, 308132831, 187365545, 925546248, 718306121, 308304633, 756443336, 974590100, 324709392, 269103071, 528559879, 52077121, 457190533, 605555588, 64636890, 728812749, 656837376, 303206439, 756724558, 768541929, 619719857, 140133572, 20037392, 699549844, 200105788, 725966424, 52626940, 642719923, 902223160, 607417710, 611363645, 765676583, 144467559, 272759488, 232056684, 431514201, 561775599, 762774971, 765368743, 678927833, 504996642, 589808713, 725956198, 102598644, 24343121, 168446691, 158488841, 523060401, 313024510, 663699005, 676252294, 389492895, 127110452, 467574029, 531376319, 319752410, 220004095, 181299782, 901194408, 301958470, 877086216, 419799505, 181678283, 766476610, 524326144, 120523468, 906199801, 967103129, 541178054, 667606643, 593245416, 700184361, 862588623, 7729757, 255547371, 513649039, 705794691, 893024843, 555620833, 148745345, 235838290, 571859499, 760890356, 789225584, 620181679, 189159665, 516468687, 237916185, 6004873, 695858848, 355834694, 941682223, 665572248, 640879378, 206170582, 11620037, 598830471, 718853325, 333750561, 46022443, 713162272, 76052352, 458407071, 52642838, 942629118, 875017777, 824776439, 117808409, 210172271, 953278262, 475103977, 370650413, 83556775, 490097345, 216216753, 524648284, 703888970, 594140357, 164389401, 580821229, 639006993, 825313107, 959324446, 105279256, 768637528, 887154661, 713643119, 345563531, 241851440, 468053686, 304233619, 186648232, 635051997, 586210266, 109505328, 543061133, 795294900, 304925672, 64032801, 71700010, 523834741, 372045097, 902849209, 53393516, 328998138, 505957716, 727289606, 759344172, 476853046, 206395041, 412369212, 749583277, 884036910, 298591982, 544587976, 774996158, 78912228, 653275598, 588015491, 441401240, 517533620, 554788326, 515174318, 758298812, 865157144, 566552194, 35566884, 376432292, 913158433, 231021695, 682098243, 850106823, 572657477, 225178574, 301975599, 135216956, 81019875, 893119116, 816214254, 386273176, 200711396, 274749711, 553604322, 701931559, 337684414, 416505804, 900364702, 335306857, 141138437, 875508655, 750682435, 745315101, 421238668, 290499948, 713431952, 729330812, 783533455, 214620898, 537035183, 359697066, 424848105, 592308769, 922974206, 434587250, 781063254, 677359730, 578801518, 254112420, 546264638, 564625919, 288547106, 631717369, 962440683, 871576618, 732235820, 592430330, 191097560, 422577898, 27697112, 445790749, 613609811, 990495869, 528011278, 779882921, 669181639, 556441757, 242540064, 739535102, 238134499, 691702551, 284781491, 115148353, 147823259, 996910195, 329053336, 389570946, 691655128, 934532143, 299871032, 94296310, 661577161, 540491979, 659669849, 757820564, 850815194, 950209198, 209397377, 351955066, 646454981, 556199745, 713339169, 542619132, 702196035, 873883018, 114994320, 357740473, 324418361, 360128258, 30464796, 58763251, 180065047, 671787939, 606458741, 349206976, 961121451, 90979793, 201074021, 916739971, 973003515, 287889421, 689706873, 459856621, 132147537, 544152005, 879220327, 273059892, 571553118, 447972901, 78821172, 142483696, 864224754, 443448749, 511758471, 323581968, 477472237, 698951631, 921073785, 990476246, 861510331, 220186279, 340893201, 205058867, 951293810, 417823605, 169771655, 428368501, 728476319, 580186758, 899237290, 360889787, 411219803, 212245330, 878023329, 658509296, 620441037, 60359273, 296932527, 304472254, 391439193, 281759930, 244250835, 609545569, 775036642, 729201978, 471997336, 224293731, 648455905, 50760899, 123102135, 557496190, 118739950, 530301232, 245052612, 949584331, 662163325, 986528797, 486420052, 68016361, 302564668, 996915993, 824477472, 211419341, 694961215, 577281722, 418543701, 399334933, 501687616, 148512259, 420841448, 265859905, 828017219, 485472177, 62352006, 419263994, 565988475, 213284769, 699240977, 182297367, 921150811, 444071126, 519477715, 971905873, 965035184, 795226346, 178181105, 659684665, 191147930, 374522357, 48537247, 915553762, 833959323, 118854226, 209388529, 875315216, 743121202, 969738172, 688821495, 237677656, 668608086, 353535346, 436943807, 931827111, 13503687, 722169690, 68444323, 503181611, 826818028, 995992149, 922222753, 210270003, 870576713, 514794567, 957653473, 495115268, 274657332, 922497304, 379247044, 635569057, 240726314, 673412017, 705796677, 445980716, 247373963, 94125378, 30247298, 816122174, 834461642, 567408153, 302923798, 583586149, 32447768, 658966431, 39407641, 7671863, 574471819, 86121522, 703427546, 226942506, 172649419, 57290023, 435941924, 350516776, 315117095, 286531744, 993637784, 609526200, 342846696, 906215450, 177373487, 687616539, 934662845, 629650622, 107119201, 183274200, 701577867, 415983954, 124794816, 946255079, 396414986, 34034727, 703347277, 357163123, 67486690, 718039272, 998500287, 867069353, 63893679, 963517227, 981435537, 973410024, 50754474, 267295059, 727538218, 906227859, 899621102, 508184803, 56308256, 923068016, 645073164, 310377034, 61443477, 502079563, 566378219, 193610590, 524805908, 608627088, 195375010, 368338363, 10929718, 838857713, 759101260, 572085386, 438659309, 784537779, 91058934, 793385541, 505974032, 608101361, 852173722, 646111756, 414443317, 709872298, 755996920, 830199153, 501580885, 862535224, 835854845, 330571542, 39633931, 609454405, 631021917, 387184689, 245562093, 387604622, 25168812, 556845426, 19579083, 403115686, 625651623, 755874140, 166524606, 916721667, 283048133, 755772163, 670640056, 565950606, 589677042, 324086291, 312096382, 942677747, 353799980, 743414976, 480961541, 536265664, 438796872, 697476460, 164728333, 835634807, 707669997, 378089303, 597368773, 120655130, 978502159, 492654119, 467903183, 693283459, 386157185, 356892496, 804733882, 837902475, 600352099, 128943683, 53305159, 671520581, 957197359, 931362385, 325461456, 973066711, 587377016, 855673712, 466338386, 61091770, 67884920, 898720486, 169644205, 327975638, 288115824, 9650375, 960890627, 72148407, 471320877, 65405941, 588830578, 835981486, 277507716, 49653032, 808460942, 655723378, 836923916, 539313390, 768074464, 56562190, 665069539, 60061611, 406337925, 811232481, 453739276, 336602049, 239822259, 714397807, 394172243, 896454209, 718668637, 637446587, 10157207, 116263952, 542727050, 792122066, 760726432, 539163229, 638559849, 66301722, 53964505, 210002256, 984708115, 176065099, 774969561, 542681340, 640534091, 882076218, 577385590, 551297534, 747708869, 527615229, 746958489, 554531109, 38464602, 759603821, 171537249, 984029685, 644162022, 200801530, 788810160, 325555831, 473095762, 600034027, 450997974, 929045494, 336232052, 803600611, 433462131, 822703240, 419152890, 945447715, 660516099, 494353410, 69066313, 229328465, 624611059, 621137952, 591053781, 336255491, 128599203, 509047229, 611449157, 310199588, 602030934, 633054802, 737089094, 287447701, 565479189, 906617033, 998565251, 897335508, 462393286, 752152053, 114164270, 148588125, 200661487, 553206077, 744160790, 443352794, 525120666, 750962165, 329609388, 751236684, 620422628, 401901470, 986868068, 872858194, 331530843, 251515082, 315758016, 468379702, 317849272, 985308785, 524711632, 615624295, 498613974, 372457527, 467245914, 206783621, 267031170, 350528769, 387682853, 467543613, 589260936, 593121586, 731302053, 289218299, 826793843, 61563721, 269697783, 861494287, 485860917, 19509170, 670351443, 209578257, 465554469, 173255496, 979086261, 418344147, 854735999, 849003048, 476319668, 952060848, 535566379, 839584243, 497286976, 4121450, 204739308, 62350977, 555170562, 616435200, 976875222, 245218901, 692865614, 293105488, 279433569, 48022497, 952527955, 805313788, 378969765, 690708821, 837732599, 44859351, 457696053, 246923589, 608234187, 717179588, 372382662, 981977575, 983841518, 927011095, 340018541, 560292672, 36039156, 491381937, 771438641, 784984059, 658564772, 874485223, 383442586, 22770931, 816173380, 889324366, 519927195, 101593243, 781667610, 288316929, 761922944, 43639547, 522883774, 783604736, 738904298, 339430769, 578270028, 151726500, 781920009, 389135055, 58124181, 736913445, 99196910, 544855652, 547226239, 458805062, 350190667, 404565785, 564263886, 864511847, 106791622, 363443022, 502919362, 277911572, 907489740, 889052600, 601440638, 834788068, 461972904, 695962531, 415957013, 3200457, 633707260, 428186609, 494793189, 570777221, 528595721, 950465415, 559056275, 668327127, 496098791, 28777923, 648247238, 87160076, 211540937, 274722171, 487284682, 987322090, 859845533, 668057019, 493274470, 609548008, 746515405, 645830083, 448487679, 823467490, 879524609, 687385904, 72315572, 276275689, 502916707, 883761496, 639716784, 769157644, 298078120, 818924293, 983140590, 319435898, 645646458, 812131028, 325311880, 712937634, 491417652, 333554799, 915714931, 882402681, 541204188, 40957590, 656850440, 356421761, 676317532, 5622936, 659572450, 866357556, 212850957, 212638323, 216429618, 598241205, 423964009, 660582645, 66768945, 85361888, 517089143, 357397416, 779658213, 334398169, 45344920, 101672354, 874885702, 719088961, 318005085, 834518260, 385274389, 988188052, 641549666, 327415664, 864290668, 171866290, 211578323, 356201329, 76647487, 258977595, 729684744, 484363673, 416865365, 277170750, 339625323, 277504064, 411873853, 295048653, 382248060, 605817012, 337893607, 178296901, 472917286, 137937258, 997993585, 305625211, 535857787, 357156436, 630600836, 448232069, 94269910, 648737761, 745558338, 394381066, 34134522, 86492788, 383259062, 650939869, 455961379, 201365368, 351719784, 888270213, 995063186, 554564634, 356848291, 150722161, 325551399, 679783145, 269409756, 920866741, 264348307, 466050933, 794769058, 691251159, 683764477, 483802812, 773212158, 120591452, 178153591, 961556439, 752369053, 205822320, 902705331, 352459958, 151630344, 971585578, 988614948, 372860828, 714814893, 742980320, 299996082, 716603946, 784819410, 163319723, 145556174, 402908003, 844749505, 938811841, 468061323, 514528083, 744013414, 590443249, 104254797, 275568862, 824035155, 387929096, 688830919, 719012036, 822337082, 366700867, 380252723, 721884996, 145389558, 678351481, 13524306, 219726969, 574213679, 284650660, 404750202, 987130780, 540111236, 105010989, 901486662, 405435963, 386168566, 14260086, 88240121, 426750443, 113659236, 344966040, 817143679, 666206999, 479214505, 500639280, 10072596, 668084788, 252172925, 514175439, 989751676, 843738987, 52420190, 146327201, 645114564, 566693437, 917662986, 197322948, 129956511, 102616595, 763856407, 662828821, 776754286, 19405554, 510541809, 335713783, 567517224, 261026794, 432539522, 212967252, 99166365, 446253563, 142722813, 104824695, 60595603, 244139769, 755035094, 681726466, 125173240, 9578851, 619529435, 636415912, 876202954, 78469011, 717871799, 82900499, 878527333, 820002426, 518551060, 47490290, 101806443, 389234853, 386551227, 277328592, 737604086, 132185282, 669034485, 969435585, 598100955, 715811776, 636504784, 856744429, 65590208, 898833611, 55518828, 939547371, 701227139, 99840370, 281535449, 71566599, 75896634, 27526300, 114765775, 784727425, 929364147, 327420087, 138185847, 9772389, 13166049, 310284843, 840314958, 155692526, 281999868, 538436225, 461005202, 107068321, 295215952, 462345389, 106901092, 485209488, 184976943, 393386691, 209708309, 191612465, 751478592, 38400941, 669583145, 614108024, 640074950, 131850921, 224195497, 918701737, 214072355, 728940370, 853807440, 904862675, 440153458, 739254614, 820984788, 899613793, 967296548, 95722450, 453022010, 933979785, 386684850, 538790156, 639525323, 762890702, 684661339, 774632435, 378089322, 225886548, 540219173, 774451779, 485166257, 67113848, 916253033, 699535512, 774795262, 809291986, 763849599, 105766401, 796439230, 347886791, 591223154, 643944645, 585946760, 853220638, 745467455, 843961391, 533033587, 648456993, 669100164, 130348532, 937840327, 126110711, 874305014, 821819998, 886853806, 917189549, 477262712, 4191601, 564864806, 797294662, 718628210, 325044849, 695231254, 228514290, 595127536, 347062987, 501331700, 562518091, 847419589, 307899781, 539024531, 116965848, 221822793, 866296887, 334685650, 323707837, 748457326, 732555907, 970997331, 304449202, 228940288, 252590977, 769624648, 392426317, 114951730, 403636625, 65941958, 602535988, 941290997, 268778904, 936087319, 818876600, 92608052, 994049900, 529071482, 235847346, 156533418, 832863780, 940457909, 228726355, 745384272, 453710879, 438555133, 61481725, 213525205, 424468067, 915967002, 208399975, 749434019, 145356082, 436083801, 630053680, 23170609, 29615523, 14776093, 660036083, 284320398, 784924981, 103301722, 277334674, 689769090, 222833413, 463497468, 581990211, 794407154, 598563157, 642264712, 214883292, 57145794, 611740147, 316064632, 183121636, 529488030, 713886317, 237420240, 269498457, 564536197, 18387356, 20515055, 132931990, 746087756, 622754828, 859605228, 270612887, 479963670, 599736739, 331999666, 968333759, 478220276, 578730886, 312123930, 194810515, 70304493, 752818835, 593587012, 217597220, 148384072, 306543279, 645496960, 389563472, 689716124, 709441316, 886503896, 111926986, 254986711, 299853548, 615680955, 532067658, 779871424, 347203465, 424083656, 593446231, 186417032, 121671462, 848516170, 980413883, 714077280, 274122656, 322170780, 135680177, 308493679, 265979305, 980182866, 763411515, 115135797, 779671590, 707046748, 966022020, 746961000, 492381879, 83665402, 779728695, 705854087, 744869949, 268069690, 687432118, 409025612, 891709245, 798766316, 472170991, 696814503, 67387522, 482822510, 589276708, 13996119, 724767823, 522404097, 795688697, 446833231, 468352728, 130350914, 92120063, 303002245, 705712736, 504931677, 467983834, 288931058, 217954806, 547314205, 9688871, 170344406, 449686054, 435050745, 482666621, 396553003, 487586433, 406995978, 859004499, 945200437, 445103856, 424650261, 437296786, 160091128, 364137204, 280646892, 937287854, 835902905, 734961520, 749091580, 426027322, 27549675, 222097820, 492696140, 544895652, 129658139, 851718998, 763152507, 415766999, 473936583, 782901222, 770764330, 153603879, 366306397, 422894072, 876218872, 726960789, 229086088, 242631193, 136685804, 657884309, 427359214, 364185871, 265918942, 384184510, 912530420, 622103381, 266207244, 239390389, 48521135, 441753237, 256977240, 133849630, 579369454, 154046249, 937204148, 784363338, 653420708, 678159901, 682224900, 907542747, 961958137, 662702044, 38787740, 695943210, 264935143, 887146647, 128269367, 674976090, 504857095, 405195138, 374226705, 952865939, 10363092, 926672936, 827263440, 992988245, 542119717, 547928198, 934926247, 292266020, 816717854, 767206041, 11767068, 761747754, 395951348, 698644151, 139855839, 93023263, 627447273, 682484168, 703158195, 841969922, 218162894, 766202511, 900361386, 94153238, 277274942, 740955526, 645846502, 222084099, 400928018, 807356852, 378685388, 934495764, 412321665, 904995946, 783396093, 842581450, 373874962, 442737980, 466880851, 5500653, 177066758, 297564931, 793161302, 302530136, 511943523, 617396687, 13243465, 816544425, 484808777, 625168317, 307375821, 215338712, 73090113, 221790043, 735275174, 621241982, 576869490, 177097903, 434065749, 355235213, 21696126, 656547690, 245072611, 207228542, 477178537, 905475705, 791774666, 370147878, 465023810, 296552025, 810219913, 246356315, 161281101, 258682040, 453800214, 980282937, 768980182, 172560379, 480722808, 881673460, 795982666, 677874875, 376907516, 403667377, 426089990, 931432601, 986043866, 449798831, 965755201, 877047537, 552357535, 323997857, 778521883, 299140642, 694928323, 236517854, 301514239, 469970109, 844657739, 905273260, 68677008, 752546875, 555750605, 965368118, 346975839, 320153753, 890657328, 370759910, 326300523, 361204642, 672027973, 659475632, 164943876, 735627829, 800036331, 607321884, 22618501, 945064190, 232359073, 624917983, 416495664, 191484105, 96210571, 861164540, 229889095, 170611314, 309756653, 453517442, 360101524, 40182056, 419254962, 379702688, 419383449, 661599392, 902465566, 977344788, 238169649, 837886834, 644510375, 822034485, 436404118, 60474682, 641397071, 732215680, 704588629, 418744616, 22555554, 883253333, 577516294, 740680184, 800712521, 763568243, 166867832, 694561312, 453698769, 929071274, 45961852, 646357776, 906369822, 960003418, 642978768, 923153983, 462462807, 441469159, 975511785, 818796375, 13061984, 62807383, 423307990, 108770293, 491245407, 909311400, 113230781, 863799141, 840899936, 715723312, 340691716, 269392014, 87609348, 251466970, 81962387, 945915473, 434257719, 817959186, 752419559, 15050906, 882887739, 798317778, 920301376, 879375758, 772235330, 219862805, 289765137, 79593065, 364509034, 94670309, 328986851, 450436797, 681695769, 802874598, 302965611, 548803735, 687447386, 626421274, 241528057, 424686671, 538909106, 635748415, 515532156, 220470682, 242771826, 687883842, 392176335, 809852262, 716273639, 565507424, 568072226, 745103990, 861024694, 281179502, 33366513, 611091211, 292540781, 194384412, 754195424, 243323030, 641384874, 171612861, 878609865, 877327621, 705584869, 655638886, 172984699, 154382270, 716072668, 126067057, 648936876, 710354490, 412172833, 840869771, 557471778, 742965422, 330860498, 406927212, 712326474, 341406263, 575138360, 184943817, 970545121, 175223031, 924085225, 449434884, 187782126, 171495851, 768716569, 250438686, 922630070, 162808845, 758506048, 339594056, 115935389, 458536273, 722928047, 433213069, 674559140, 567855165, 572531446, 437261993, 547528772, 130106890, 205713873, 385407712, 234127341, 830808653, 63572650, 666126259, 675342225, 553621919, 887286253, 895260311, 481417750, 537748229, 359858118, 722668094, 598676490, 955709578, 765577359, 588114826, 481328606, 522449454, 248178882, 532371387, 186764161, 659672264, 531104660, 305713282, 633200585, 765944549, 340343028, 624440808, 253124973, 538529624, 780472834, 119884814, 953334605, 648179362, 315301370, 513034440, 899751775, 563170447, 209134507, 207876425, 277128030, 467461719, 906953487, 619448050, 417895547, 883512713, 169343662, 326137338, 517832160, 212076261, 77387326, 282951065, 447337531, 796110121, 775635205, 793998942, 866076785, 995438122, 397852697, 933460567, 274195894, 383650474, 248465290, 637875565, 498627614, 538034034, 407412895, 931413394, 155069591, 760975128, 500490863, 526207464, 119660256, 402810652, 6231759, 302646793, 849076769, 915937596, 77737716, 353382057, 182391240, 325360133, 576519638, 122006239, 426056871, 322903985, 44115428, 291663041, 38447964, 379328175, 659239434, 915342114, 773113809, 435127599, 584488661, 20802633, 789128521, 459996626, 609458500, 108403145, 177731317, 730017426, 288795724, 880636878, 510499157, 874650585, 954313362, 600561506, 890411103, 995850330, 980219082, 936724713, 972874604, 113154008, 925756228, 659319594, 661884619, 539469994, 951910645, 318045208, 208142063, 153345529, 58146804, 863132300, 640074959, 101663102, 449710593, 345123077, 841774926, 837277424, 5609682, 776193072, 178677051, 67774698, 202024586, 432083536, 212887641, 180981525, 943067197, 930902281, 529790005, 527758074, 528234749, 453186210, 254305097, 440074139, 719738724, 231409609, 50180430, 463983102, 394538670, 964772704, 113710452, 199771185, 947126055, 832581440, 465302771, 677298093, 626033222, 65934604, 557141594, 618103185, 747799953, 220793886, 715573827, 226562041, 474372890, 876699056, 545810662, 278524051, 647717170, 880425476, 337993606, 143543197, 674454263, 30485978, 542023106, 635391340, 368258062, 858414428, 459895136, 81810869, 623263942, 71904775, 733017653, 3257160, 955987163, 769459492, 595041258, 399610049, 203570730, 462720055, 351620132, 257584146, 409966220, 242155586, 997447042, 808322717, 528225311, 615509000, 349291065, 601610163, 791569879, 255372151, 747433608, 656462710, 616176789, 556386116, 64207688, 404090963, 664057896, 882426521, 958745976, 249529132, 383519410, 529924640, 190837427, 936334133, 664419976, 393828040, 16597383, 391222621, 181660758, 289552083, 338747754, 311289003, 761525166, 579924860, 855938530, 482400316, 730137797, 644535388, 429716853, 37243795, 356236813, 992169613, 100393310, 403105964, 190169326, 252997337, 536578567, 283308741, 853054080, 18300158, 626827610, 971270932, 36523668, 558316526, 489248464, 733024290, 664208599, 731290035, 980332699, 331545266, 447503228, 66830286, 290871090, 122686563, 915048074, 882203672, 243761311, 494570981, 944839692, 160834566, 892935812, 153464185, 406320990, 413058083, 391470840, 504507293, 965990565, 463889105, 522796302, 977376607, 454750928, 154805856, 904285332, 809854230, 827245688, 499467946, 115954994, 678044105, 632769508, 681773826, 300257514, 216253335, 119170222, 862633951, 706805233, 789668490, 157612607, 200587281, 863222346, 415729787, 637165729, 210580216, 550288003, 847379034, 83088159, 900091703, 482024976, 672626924, 665126656, 343313975, 356205451, 369781540, 527125643, 518008528, 957570556, 530911825, 933611234, 12747404, 178404863, 62523615, 873925844, 915008100, 146147319, 971644491, 843012296, 395991207, 560918319, 594647970, 44328989, 246434640, 916047667, 992173867, 597490090, 56673897, 538831137, 512112861, 818787386, 795383469, 494724133, 688865476, 325490330, 911232429, 350172270, 533515525, 31555297, 838764031, 869955248, 576906911, 281131117, 965347857, 431551523, 802792199, 77927702, 635417966, 926080849, 463008189, 316224621, 150617510, 562825207, 813048585, 100519896, 665633741, 925711847, 549060675, 478456209, 860035967, 867693921, 271984538, 532414663, 32830327, 578892237, 542165116, 206820898, 249746087, 809842400, 134302359, 910567754, 45795305, 511978532, 632056752, 942070394, 340309735, 990758987, 685914211, 887914694, 792795099, 838292628, 376689743, 310084120, 404424468, 774442839, 937361296, 353124649, 757197016, 919206247, 10665028, 482648276, 396529581, 924112819, 708863313, 28392373, 209356915, 549237609, 147546935, 901347273, 659321078, 503645415, 456912870, 951049796, 2141147, 488128069, 904467583, 977729171, 90373205, 853954707, 93509668, 533184971, 946524347, 698968854, 220935105, 396081351, 448552309, 177823368, 219665004, 575489025, 754994258, 956609650, 544387882, 803989465, 239498439, 779290903, 183061653, 652093164, 372158138, 151869953, 224009123, 630717653, 861156535, 779457977, 162951920, 304605136, 26317500, 673826759, 790239519, 69537735, 529302750, 74362454, 376259388, 142120771, 756440227, 225639916, 586674529, 416563484, 699628267, 32473396, 409358154, 236509130, 384068184, 789626037, 148769239, 790004861, 882999002, 113693636, 893683402, 927872522, 522972675, 545535202, 875035079, 238746861, 630565261, 457201226, 713909678, 342619950, 339170711, 389583848, 162934521, 367012027, 101516838, 596992239, 689744793, 452631902, 698890992, 769239504, 793020655, 267032966, 613644452, 97474368, 731125100, 38082803, 402037323, 873077076, 822377458, 546623749, 199358731, 116808391, 293077137, 482828536, 999096398, 979284899, 880737302, 452137555, 872626904, 581801254, 981899168, 802735827, 173681252, 639354195, 651943636, 245669476, 89675195, 345729503, 79414217, 253769581, 186443125, 119824387, 274198495, 940922572, 94896809, 692462972, 771844935, 888398937, 496908603, 253319301, 511682790, 990988682, 336310952, 235091552, 431583247, 721125759, 807655269, 2732200, 949424943, 757132666, 260136852, 284922698, 203016354, 517744582, 305204070, 175043218, 653424595, 119393673, 828478635, 701332925, 753615336, 862288383, 1654968, 562677046, 439147265, 489698815, 948849696, 603243149, 985398491, 508423322, 708554003, 220809129, 474558040, 78312231, 198134566, 207086586, 231636819, 771698792, 581173667, 331916938, 512117726, 131009430, 457838937, 54057143, 960759199, 487509864, 152416886, 435108788, 940715163, 748860228, 609715419, 550583848, 954413228, 220733916, 848071823, 593329324, 247918724, 676448622, 576904137, 589079622, 892152760, 720611345, 566284189, 314187655, 396394533, 905505800, 30399423, 479718980, 748773353, 36008622, 455202271, 261003477, 362460814, 10144663, 985477176, 707491204, 711699519, 185855993, 437644953, 939417540, 695784442, 249556486, 431968459, 968428575, 185462068, 819282691, 377281464, 5768789, 216221404, 436877215, 842773505, 447018746, 742866466, 751009777, 700449983, 699271081, 668253553, 971023312, 438447893, 927037672, 714835184, 446744308, 597447925, 836359213, 771461963, 987784048, 401152464, 410415443, 514570654, 951041605, 198337406, 809832693, 685090811, 688118514, 323749820, 323352213, 821964083, 126539084, 784070552, 676960100, 463516716, 565382006, 163314280, 80229122, 607028734, 571248930, 536040511, 108255601, 750237653, 871483690, 312398094, 22712474, 455569795, 758338504, 436193212, 392025604, 250386181, 967527628, 458918577, 523083475, 965873848, 940505515, 358838427, 743670923, 782955769, 751783755, 557191108, 457917092, 253890200, 829315231, 82258222, 101128386, 560837958, 387088578, 686431672, 68604824, 659827184, 170944772, 951782976, 558872016, 568323900, 489947227, 373258871, 709517022, 823486453, 953074954, 172229998, 713346615, 39620682, 874907717, 304642991, 741484849, 341462453, 846639744, 326855200, 144318082, 690136804, 298243596, 933674299, 101670732, 587548471, 622218298, 521303407, 820734323, 807029723, 217515259, 623335757, 541644438, 866271312, 49370470, 671292519, 119712551, 409226982, 634833192, 496427743, 62270180, 978224323, 796567098, 627048541, 409292865, 515327270, 912781910, 105543769, 574686388, 611150849, 541036321, 560452092, 797447338, 859250066, 731443509, 779408531, 808675248, 292627884, 724029081, 167455501, 667739603, 682149342, 92918258, 499484230, 653748889, 810288126, 132653316, 453021536, 445836074, 8081469, 993148462, 722230609, 828947796, 254718635, 970373796, 301112477, 450220074, 744130892, 972573335, 375056718, 697175261, 303016157, 866121895, 795533664, 552003185, 833793605, 762325167, 891995743, 345256790, 717097645, 436940331, 106278844, 27754746, 379554207, 286755141, 369110163, 607145102, 655009341, 571835204, 47862801, 352550562, 222785719, 532879327, 159316850, 197480575, 754125851, 191110, 83467704, 56720530, 252204408, 678152626, 254395688, 212999878, 973416851, 161183273, 766741437, 156510363, 790591476, 260293080, 36139309, 443711906, 944764373, 745513065, 878715680, 587442381, 925959446, 467406376, 699593498, 436986679, 472003764, 571681218, 573189543, 301463730, 91248982, 149014672, 297958210, 599611288, 710981358, 781972278, 413272483, 986862277, 15594348, 980697792, 163524222, 278137754, 226656901, 271273962, 931136580, 401764852, 144459773, 50817760, 792741695, 878926919, 242382442, 84874653, 998103613, 749287106, 273846270, 920868875, 356147066, 372452972, 929863673, 70897077, 858049244, 136815880, 649360402, 37347506, 378659202, 695173373, 821725981, 362914096, 187868377, 467379441, 566055677, 334231649, 511436287, 52846067, 654418359, 321027058, 359874542, 355946773, 148969692, 815223919, 675157406, 286813647, 336631942, 944759774, 18737877, 70291224, 238121572, 338158151, 83941744, 884547400, 111284910, 993700963, 200783779, 811072935, 21408585, 147830732, 988656088, 576098186, 600538869, 853492825, 165670177, 570781688, 481646771, 69693534, 650728418, 688057818, 732146488, 360409809, 112951612, 58245412, 525826840, 955257922, 271507710, 985230075, 386035708, 992377878, 301700151, 454416880, 329296798, 616150455, 44215072, 730432258, 834324438, 284748082, 597962490, 954197790, 640432076, 776638870, 131011479, 952222292, 637468025, 56551706, 94968433, 843076063, 129506822, 977113980, 667927827, 444109128, 521262209, 534792971, 330232528, 519513376, 350734269, 413700549, 950458591, 53511096, 244229852, 283898023, 424175978, 587836618, 370345453, 883710455, 503023245, 105502666, 422906353, 205316474, 610333478, 967159939, 740365028, 981589637, 99051327, 961005126, 448441775, 579297767, 783630248, 894282873, 196592762, 356286781, 198120281, 893390942, 712743141, 283253492, 265694962, 442804457, 577959835, 674858151, 703296695, 190429874, 155591215, 690809778, 838141920, 346499602, 392040890, 255376212, 435541270, 739293618, 360344406, 183814564, 509338256, 320013256, 885041868, 455750625, 399526024, 628496865, 494219611, 265829064, 655626921, 414489838, 733489019, 186299079, 678746345, 385746299, 86174475, 321405377, 636849670, 832591081, 494096747, 584971536, 339294606, 723066776, 88177011, 102454268, 242953706, 744612204, 271091184, 343654145, 186323516, 133619441, 161334339, 94148197, 820445624, 449400585, 638939726, 681038749, 458087092, 523993155, 940245700, 759399604, 791113066, 681216247, 264218754, 935070793, 497939615, 472017383, 563584451, 96283537, 136393106, 632803692, 67812024, 626524907, 130340981, 663121947, 527873691, 58976995, 160554817, 681328210, 73288516, 848826591, 418824905, 633423409, 225626614, 545129803, 343643609, 319227015, 381011201, 578717739, 683077646, 834317071, 885582234, 457160624, 614251152, 566305412, 359653416, 919983865, 677669170, 775729744, 588452752, 412152068, 263713774, 449561728, 251321697, 758798994, 472364333, 13452989, 215499485, 427455875, 733265560, 555351713, 897521972, 52992027, 425460241, 312316635, 430226152, 866681943, 562973788, 51141434, 22586068, 718763708, 798113515, 693452496, 163201424, 97209878, 638739852, 32835305, 928145863, 940060345, 122709889, 279817012, 23460670, 628214938, 795302735, 153842139, 969270970, 284181126, 475764923, 260121030, 352214804, 559132247, 565888408, 36050659, 429968280, 999257738, 197155659, 399904050, 814553767, 719290554, 128621594, 271892338, 897883593, 937609771, 496891826, 727461131, 963364146, 423241183, 536922299, 388453961, 544863644, 623247080, 438052955, 820474308, 975952727, 919596825, 167981981, 128402831, 847726830, 708162115, 247311948, 700348516, 418905225, 26204255, 412216841, 14823379, 426653713, 805260024, 189898378, 564069453, 875582163, 872461792, 534948783, 708516364, 397684043, 318986601, 636137976, 131421585, 393853462, 367034150, 331647615, 126832238, 810093983, 480966333, 608481935, 498576789, 883251989, 894714261, 634473406, 651831769, 331001046, 264640449, 286088627, 53638573, 540749534, 353803612, 112698294, 37927009, 116622311, 253565735, 445929891, 651779003, 918247054, 943270007, 206463198, 746145035, 823311941, 27887729, 843266329, 425426981, 807981526, 735104779, 808459088, 895079936, 161255772, 740666384, 83689724, 666621557, 709255072, 499290939, 304249710, 547946489, 93840578, 867086643, 22936005, 777065980, 659413981, 733504919, 15049961, 237574092, 68324446, 603627490, 805137383, 222935431, 519390195, 7118712, 945817983, 260363723, 825197777, 456671713, 158760543, 520121107, 810462777, 780487155, 723840669, 120584278, 888337605, 749902088, 483148487, 365070031, 302702417, 962285121, 912311523, 101210012, 712874489, 6324937, 841064360, 696401089, 633808849, 405141792, 692764923, 484449917, 195463638, 459037831, 389160930, 776686969, 747230108, 770355808, 685488287, 326933302, 851378511, 193929573, 673874117, 9519405, 581765200, 990847043, 467718633, 53851304, 332656955, 814517741, 11065289, 171692410, 123260937, 941837143, 32961787, 986783707, 931922060, 250391047, 86826734, 198607871, 488015331, 158990313, 35723714, 864642783, 789712130, 30003762, 233758901, 169882036, 845200979, 522776078, 948998960, 531343661, 354000394, 863002749, 946494988, 531130104, 941852249, 497566688, 570003048, 46420337, 134639585, 950357205, 981611551, 942156310, 923305067, 889237050, 544512149, 183591358, 190962207, 892170683, 77990322, 124178804, 712406116, 868519128, 297078627, 56836479, 874607904, 717348152, 214733837, 205035843, 587822176, 591793609, 153553773, 167593446, 429184338, 513366945, 709500553, 983398506, 143951412, 199507927, 815223909, 891406672, 810415370, 613681838, 733233642, 115155989, 184104680, 383616310, 281012764, 294875557, 991192749, 979583317, 919920136, 352379087, 781250166, 539769949, 149072925, 576985566, 484517220, 961853207, 356783813, 382417288, 54546077, 805792283, 153943757, 156692571, 436546841, 503314538, 352254353, 28686316, 339505691, 656690436, 994336148, 886971752, 846884743, 810938448, 155548086, 859236161, 614638421, 839054117, 413400623, 636908983, 510179700, 652438597, 228224693, 337616254, 972475804, 468067223, 968868273, 482644907, 575828404, 704245297, 778682992, 597497646, 77535714, 408124920, 209431341, 48683825, 455999282, 126956166, 857951286, 6524747, 565807558, 353761516, 156745983, 312330803, 45603373, 955454260, 163387438, 149610768, 131585998, 921061309, 502581024, 330609141, 911244183, 415359109, 843140805, 664440439, 754426389, 491502182, 846619257, 618601937, 247926835, 186211970, 718454076, 116698947, 767612136, 695270275, 218795089, 758679389, 896118312, 979242672, 429143165, 21727548, 469373834, 326238888, 684999469, 881243905, 675699993, 66792724, 917796605, 354361922, 606553921, 826254125, 587716494, 227243322, 278341394, 149888410, 408792462, 855915930, 294138396, 500038320, 552444853, 958896390, 629279231, 473921955, 353164465, 750683228, 413283190, 559083674, 973084895, 350327728, 324049830, 819448147, 72359988, 311378114, 957890571, 262787833, 761614414, 110706464, 373073998, 978790282, 243098711, 208171896, 677151781, 309510800, 376272764, 886711380, 926135931, 603275077, 837220302, 389591541, 378060633, 436215490, 21553817, 595305410, 663724925, 360353976, 333622753, 22542545, 485068714, 519826385, 523531926, 358129826, 390304613, 830433583, 206071137, 724386796, 290146857, 535198282, 8380227, 47696422, 218497491, 56404889, 267231426, 69247514, 357216743, 243565965, 362912984, 302097974, 436866614, 575477912, 861256252, 512504058, 956661775, 250667384, 829839441, 867117698, 759428727, 45299178, 950461676, 760133624, 306570459, 307558692, 290739306, 435385951, 795293771, 966661941, 616868071, 24302014, 147800457, 449910800, 493631355, 106917275, 69319818, 744873396, 51679898, 414107677, 859356072, 467790182, 344749775, 382774478, 933107076, 604932539, 869464051, 712410701, 498246990, 515914345, 978269073, 394680608, 440184752, 482056547, 249987166, 250057797, 875225271, 132674862, 365141148, 49175762, 7221927, 612189608, 136923525, 142563764, 328509157, 98042181, 377397726, 921055577, 264079780, 226574179, 588023400, 935505634, 322673301, 722627840, 560165330, 659129168, 880016627, 645627214, 820577270, 560667581, 267483681, 820764801, 748046895, 630408123, 71614722, 578358257, 321657976, 504076977, 180449652, 158526096, 710459176, 610318115, 343457530, 817036635, 478829613, 349641233, 967451815, 989383848, 632907539, 679611628, 3338194, 57803935, 954452660, 372653539, 797030045, 955635644, 441137630, 965961460, 709443093, 288706950, 962942616, 79950283, 341912091, 680949768, 805490642, 272381045, 89937128, 564716647, 864523334, 863805192, 972096452, 678411219, 66700733, 607362203, 228937879, 180424789, 311759649, 783908559, 353669394, 974243195, 605926888, 167478142, 561509326, 158672140, 565852180, 543181455, 259775499, 518917978, 92076061, 453404582, 22868202, 678276012, 559889638, 479069929, 464079299, 871916070, 256306432, 471642455, 226515558, 769749762, 538992818, 103320420, 593766215, 906398784, 697985055, 931366105, 260798596, 765143089, 961598039, 663855021, 991893818, 205290608, 151591441, 547396930, 661706823, 532857877, 800640210, 201889559, 929291626, 857862514, 942492710, 555984106, 598315703, 765180319, 174207982, 54275227, 503319496, 566826387, 732979842, 31922859, 25145329, 999226186, 447509733, 390038315, 123022592, 632407090, 876605201, 778160774, 86840969, 340259980, 523294054, 266388962, 499941941, 448975754, 651064339, 587772257, 185725032, 305084357, 85250685, 484949577, 964245830, 787789559, 928053917, 242053520, 388249720, 102628387, 347878240, 982166799, 330734777, 292715402, 691526137, 720503407, 159918307, 4407442, 778116019, 736579081, 788307779, 278349816, 299268242, 157574211, 683883859, 404259787, 364893645, 9262794, 558861477, 366413488, 294968259, 546567397, 568316916, 752955466, 855589734, 885622077, 840188739, 576149977, 280373544, 527814903, 886747847, 443911945, 12591466, 979237229, 257895713, 120115109, 611773736, 476983738, 829713323, 437582839, 700679911, 518547936, 718827144, 537229440, 393638791, 819224799, 650292954, 105780307, 850882155, 144012597, 988196512, 951068196, 124493438, 155828004, 223784170, 534685032, 335006116, 119938264, 894275994, 590348912, 34028063, 68771942, 281446282, 750644859, 859898946, 471600008, 92139735, 755329289, 487562531, 331165104, 691224782, 94181281, 574549795, 446513034, 856151505, 172785387, 709643754, 806729602, 471942916, 926914984, 773707072, 67647299, 819961677, 510633383, 647192410, 306849447, 72017865, 345582441, 914334787, 319630859, 19611860, 862620217, 445542396, 99610393, 9584732, 367397851, 747629700, 912645785, 782699626, 326694003, 660728684, 319415528, 17961446, 678383108, 61117671, 349815823, 183473684, 661239726, 765695347, 512036986, 392073687, 936652365, 10258403, 913414994, 140857443, 640638148, 411681631, 569475030, 212125992, 316498943, 318434193, 523393740, 584520776, 998261838, 275215604, 610681382, 720355946, 219803192, 413630367, 798351669, 741201366, 777010579, 499729238, 383014402, 420256483, 291190137, 322709428, 576523215, 338330540, 969112457, 187570124, 70624011, 68754182, 672642514, 175462387, 114130517, 460481977, 538155182, 892476757, 418942814, 872162277, 213338544, 337612432, 904111113, 519436940, 342138634, 118928233, 123211100, 90401757, 617911172, 562391218, 889318354, 124529263, 495787172, 638348305, 886817805, 569199910, 485634095, 848778720, 109676494, 920904932, 629403753, 113659237, 116009117, 654948905, 645376055, 414065528, 461555242, 527755856, 920228357, 330126005, 172218060, 483888817, 90933081, 375189159, 310669680, 792975986, 870455538, 251296201, 188117655, 633906507, 80854410, 562817629, 595648184, 416280287, 533990561, 868919398, 316506709, 532026510, 298172470, 625711757, 611015370, 138512091, 12922031, 668284073, 913973564, 929482649, 103126621, 239042365, 986127464, 97603766, 884777015, 496925023, 581246321, 337819543, 215377505, 120046570, 825822370, 832541694, 693701382, 94341939, 935011056, 689904122, 235637587, 406755694, 81205847, 328232013, 153801359, 427246432, 304310472, 38374749, 850938412, 776822150, 720803158, 217620076, 276514970, 150283306, 770847527, 81722556, 154630249, 931381766, 925022950, 413339339, 716346794, 472543677, 533092116, 644316733, 734058919, 656550714, 563990490, 787322078, 913116296, 77197605, 587827661, 784822554, 623366377, 939706739, 245066760, 980124616, 257233308, 689684639, 667833759, 367443466, 579661218, 406536593, 560577092, 773313222, 800070907, 799646415, 154722619, 356956677, 582613933, 14382394, 331759619, 875798556, 966140758, 931952982, 164483357, 769483928, 282788883, 645847897, 379792202, 518539476, 215392706, 740769641, 76679710, 282623998, 363459544, 850964692, 686278613, 283820867, 554381667, 287546368, 381719729, 373129007, 590348881, 669047227, 792415111, 135177134, 683494911, 2136992, 972783594, 682411018, 95346748, 844301845, 693796617, 723292386, 199963606, 16526311, 410100231, 246296903, 942164630, 950362620, 18712061, 952120107, 418433108, 406189598, 338650425, 207546422, 427740052, 195818393, 511955507, 862151364, 571863570, 880263403, 681251699, 996909766, 712916363, 651284464, 381988296, 505753320, 79823272, 256222931, 290160337, 661435591, 292126572, 496017691, 402809231, 571584390, 678369638, 607833062, 643773284, 100761655, 56163405, 94522504, 839203721, 81034118, 732983868, 176955481, 216150313, 657456685, 80589685, 864318871, 812199476, 486604001, 906545355, 450774593, 467401755, 205830621, 775207394, 458626206, 723722515, 143041049, 35114061, 580456074, 298070358, 628798255, 466478016, 130891594, 179776469, 873259073, 186697368, 481652319, 153287709, 762914721, 657292678, 110375727, 115164071, 303502894, 57287155, 235298525, 553820179, 99256638, 862305549, 59180551, 652546607, 541082436, 697271936, 205243477, 425669452, 525726997, 596910157, 55611534, 467420068, 484651436, 253721921, 114035116, 492457754, 108493904, 7305627, 24106459, 718958412, 888307390, 482954269, 739442668, 723820783, 972076104, 453116420, 527243006, 672329138, 261219588, 988187082, 692172139, 683243361, 359994922, 446341409, 34730512, 513051257, 549004992, 875407441, 339475888, 801978917, 341913072, 352032824, 73045462, 788143941, 486806907, 941207758, 704466288, 961300646, 615117414, 457455664, 307748117, 662071893, 681399497, 884371865, 811984687, 490101097, 639878390, 776156711, 30933800, 734355766, 49832018, 21553567, 494787326, 518872501, 588652671, 983971993, 557308620, 772727782, 172776052, 436625251, 792626344, 812399963, 436225778, 545922646, 288019242, 909659552, 683990603, 181957621, 71708368, 701403686, 39788369, 354644587, 239947505, 850151930, 559408927, 208751774, 267518467, 130976581, 528258771, 630843052, 224250644, 80358985, 930100659, 812714860, 878438919, 764846926, 902537298, 791516676, 921897788, 966461607, 980354211, 14741077, 582690108, 762726440, 802931766, 632907183, 28469309, 167463751, 738558818, 41149020, 99348568, 866093586, 614408536, 24104620, 338348521, 48427151, 262170212, 551573846, 886543808, 984129027, 563658956, 739251594, 863604404, 487838126, 248838626, 779830378, 682961964, 916562779, 955560284, 900325568, 664607494, 482503806, 263463112, 289806901, 582499696, 798157342, 659860507, 620710361, 936303085, 662932607, 188614683, 891858757, 165614760, 366850729, 984664468, 267661679, 141881376, 922523934, 682894967, 473632549, 904459684, 872326084, 183075629, 423123883, 877288855, 172003090, 440448080, 950794820, 387857036, 278163054, 472637823, 901824589, 726975016, 720036600, 166240653, 923302162, 319580533, 596306679, 228036778, 640870425, 441026158, 907699090, 394462675, 449037853, 247866276, 674405405, 893516684, 299087375, 87721130, 38054049, 904233468, 131186639, 123857708, 370170186, 344537991, 935149775, 955633829, 21999150, 544822001, 336098034, 791968, 222850775, 664573907, 671406800, 650644822, 624821321, 938638689, 317501504, 93437412, 756288866, 278335803, 909598407, 39975067, 258994972, 933841135, 674873967, 465081292, 174638121, 646906895, 505547010, 668563309, 558420199, 995225341, 20985172, 41349614, 496798587, 584219798, 335521128, 605527342, 663245372, 125415394, 168619762, 997267443, 490625272, 855214493, 998394747, 597156032, 777221429, 541754532, 225342305, 881154796, 637091365, 509500954, 679382043, 412009765, 646899645, 276283736, 881671311, 264922912, 763488988, 668927793, 69172732, 85477745, 873580884, 258604031, 106906998, 192681507, 902446708, 357272778, 146919579, 185735589, 950058535, 653675656, 78499060, 287665972, 466592532, 321113820, 14918203, 900492232, 366803924, 858496276, 199454832, 416508219, 674941272, 502177710, 565107217, 776372522, 937637961, 426627269, 286083577, 910453801, 879458000, 980962192, 752531195, 148885466, 808249430, 268302465, 882028305, 116246489, 235335348, 535188395, 245014809, 519385307, 943717922, 171225450, 364427323, 610312247, 236720240, 826629251, 669292792, 986093700, 669216263, 862269858, 400897320, 812023189, 746811695, 107960223, 232285054, 835761991, 691140534, 582225403, 330780571, 519658877, 996344573, 938573311, 223953098, 68659660, 741740498, 84523998, 76473253, 618535018, 461634778, 224291426, 5940777, 2209975, 175691483, 935735634, 184413706, 227320909, 651173203, 675093616, 906126877, 123463684, 927812281, 183640699, 621695948, 41260416, 243988536, 308119346, 545672418, 274719937, 649943810, 938471446, 165015341, 759269150, 786324433, 806537412, 287536065, 679695153, 27677199, 350332333, 993613511, 341942147, 404930292, 453985639, 410537098, 414719146, 767107114, 604078145, 271194973, 122155184, 354368128, 328086493, 566273160, 154937574, 312551762, 824867586, 256511252, 537055020, 224670644, 545790786, 887824585, 325840333, 822797125, 415543330, 798702452, 263860454, 137411294, 654572426, 805271771, 789788500, 853249358, 490343154, 174580068, 263277734, 91792123, 536858743, 305934676, 614536272, 21735800, 159046937, 219952759, 755245887, 81582599, 39474638, 605073366, 430231552, 4537200, 133287322, 342412261, 819069700, 946843442, 769630791, 824921732, 942693538, 929994947, 709505547, 99946370, 280394621, 636055305, 83426434, 73386901, 43974340, 301229731, 348032866, 683283990, 792067975, 660035720, 301439973, 882417521, 263532712, 252582246, 415834826, 814869679, 444470364, 192660594, 200194773, 155917154, 614048777, 611072455, 510328931, 928285363, 155911966, 181789298, 835248707, 843602935, 111209509, 91012326, 229683503, 874416991, 994623076, 970498645, 82404829, 857781682, 279764694, 668911290, 741130356, 771839362, 410927327, 475595896, 412909510, 415407331, 131879523, 232845576, 784004936, 895206179, 428529337, 605485852, 98737270, 233281582, 741576458, 250221547, 893690403, 481079345, 674263597, 610176110, 446606868, 343164094, 780632186, 489557069, 202248000, 608914861, 210384338, 881333593, 820608649, 451193413, 988795643, 844576626, 198234264, 358468755, 436796374, 498152287, 255467900, 195734649, 954184502, 78596582, 18369038, 675796871, 457729788, 527331512, 340265355, 640161110, 213741627, 347376402, 851426855, 528827279, 425849713, 932705314, 977065711, 925446077, 748008011, 467472080, 291514379, 737341205, 610389146, 684435964, 820693111, 805908942, 892710075, 860163435, 663339260, 694001210, 354596550, 711023656, 386261855, 82972429, 174108457, 498352664, 102485967, 721835688, 704424385, 559135913, 483849819, 277956217, 191278523, 106466567, 143695536, 177164952, 315304036, 495156183, 138215018, 159543646, 960663106, 493036428, 379780158, 711547258, 156599965, 66294435, 778763249, 832138239, 483022276, 725965812, 743351035, 873347963, 562634883, 976641104, 383669663, 32339698, 784727473, 37742842, 660689000, 715929919, 399474929, 104312692, 813353169, 749138248, 285400362, 743295569, 498606573, 786916566, 295437818, 441338104, 947674071, 109442851, 405626092, 18345461, 56061814, 779214307, 486140549, 649668556, 4098618, 375331443, 172899058, 921789840, 24348643, 790324683, 263383076, 190155165, 390979112, 668922470, 183526475, 425830776, 249650602, 660949413, 329674226, 271581477, 368724504, 156218924, 768246373, 894281129, 818389753, 803078932, 63488081, 109713907, 540595626, 313142350, 217560277, 808537809, 956409480, 52070499, 594825299, 940581562, 217446044, 663847115, 142919138, 508143660, 629432383, 306190261, 554267278, 90312904, 762193559, 303827283, 482080459, 762736262, 519214376, 13009024, 663398399, 369416678, 288577945, 506003829, 672454760, 304269823, 603849592, 454130773, 890929387, 741085335, 410580120, 305084350, 244753041, 42711220, 7180416, 699907821, 126631605, 631008989, 497252930, 912400023, 285043421, 364097786, 909741435, 537788243, 625141971, 46705573, 509880524, 395860786, 291662337, 754546015, 702284439, 349096291, 164382881, 569660269, 330392023, 82898695, 921738751, 52697231, 301372899, 362059644, 97827412, 894383914, 854812602, 531556924, 895887297, 217497972, 347757694, 207613017, 45761566, 287340801, 656976937, 782474080, 217718072, 767168402, 125217402, 867480189, 502474358, 745404887, 312222704, 857847846, 626480596, 201816938, 91037811, 771020367, 271153286, 910336763, 717802864, 300075436, 92816318, 745890115, 32765160, 606166679, 933971761, 714994807, 227242726, 978364673, 975922931, 695243832, 872804502, 652947256, 585880832, 292584863, 195257712, 108132747, 396424928, 338151174, 140230878, 466974954, 638582661, 261435776, 734339394, 810738994, 45000950, 45307592, 901926567, 754377514, 896860320, 730316268, 415807449, 419263561, 38073310, 931794880, 231021484, 747950505, 28637925, 149658248, 44504199, 469290750, 452206199, 445931457, 678906679, 713681286, 468098897, 112475442, 39155998, 806968017, 576981052, 242279728, 807633665, 502239145, 369417052, 59447436, 544823193, 932016280, 318020529, 24749070, 724509429, 441323437, 145190319, 516268817, 925048926, 234575422, 888009392, 938944141, 590550581, 417878389, 272305549, 596720572, 395521184, 43028012, 240122162, 96683962, 424729184, 718756805, 3199235, 71333802, 2260850, 434482574, 692469904, 632674521, 215445342, 826830245, 392400827, 937920059, 671816256, 702556936, 905195859, 395085192, 975138548, 768604555, 243014118, 377155345, 217013998, 337803726, 351553252, 122578293, 189822324, 434298345, 945214574, 285777998, 692416920, 815933536, 303518868, 227537214, 85577558, 831528138, 970515065, 887628555, 151712495, 809708486, 842457630, 291881262, 638671516, 699902701, 727472306, 151606175, 770032454, 226963869, 458415542, 463517127, 369568533, 734316179, 891115443, 312898364, 129217343, 380255813, 695790256, 319627995, 806049511, 662099051, 466183258, 699991422, 405141323, 796070035, 349543269, 924321829, 620059119, 356657026, 968587533, 949762128, 818762840, 6337730, 972788532, 440447728, 187753349, 939005264, 899381828, 835587516, 853138994, 312120574, 645085673, 685620175, 512218446, 881241152, 943583188, 102073392, 210669929, 454192886, 546470127, 370061341, 623489716, 190356855, 414713596, 754664957, 205268792, 379961779, 788323627, 930202542, 67338965, 116156519, 922392616, 435853776, 447243127, 732688405, 822428704, 517631230, 529133453, 72395627, 760620745, 707719754, 838562303, 779656155, 906075480, 242779061, 444448208, 350000379, 485386296, 895807793, 563220969, 252416092, 523830907, 802784124, 739680610, 347218594, 520027605, 74656724, 575392727, 933534838, 981293874, 854708059, 180389356, 322974446, 669573715, 861156718, 462012091, 519456752, 147118465, 259546974, 748128945, 601184336, 463518309, 742007655, 272266179, 10667670, 282988511, 660415545, 817636130, 199180281, 62077546, 63663864, 346528765, 196749137, 831786705, 61192478, 58554971, 954367555, 747105718, 864316913, 847807520, 690616096, 580347474, 31288564, 162861713, 902201923, 319830556, 837629279, 909537135, 231080615, 791933549, 170394153, 810627676, 140600862, 975194198, 29913354, 191004549, 937110092, 446563737, 43630185, 38050114, 727844671, 723189475, 355664237, 853758097, 760708051, 217174157, 865927248, 441220085, 315691446, 654690387, 685062010, 443482590, 231756653, 115465725, 426955492, 734511978, 415049251, 201590340, 636530431, 252051877, 517528500, 29837650, 49783845, 121238094, 760011423, 295618020, 533822196, 103292796, 903714411, 106145255, 30367295, 1364772, 149273709, 538774480, 219400184, 237644840, 738187261, 987837103, 810873676, 849949322, 132557319, 838074879, 136929604, 263490973, 549700068, 540089613, 754181559, 875555594, 144183097, 980019417, 845657666, 300979606, 618766607, 98416556, 215958832, 118402300, 390606945, 269796657, 709330396, 429680974, 540503080, 212202315, 168278309, 492224747, 26553863, 395495556, 90167681, 841319733, 478550428, 24242652, 336549942, 208047428, 531085360, 30697369, 686982744, 757998699, 986923831, 699766215, 807483054, 141019169, 90368320, 234683498, 351464962, 939459187, 52856887, 858573721, 295763424, 151223445, 340693047, 683997022, 905644219, 762139432, 666885723, 183895807, 376828800, 584124808, 769312216, 724698119, 429038989, 90018145, 89098985, 746118195, 762461323, 669816796, 808929527, 821214703, 271671230, 163840837, 138354672, 980331144, 467927936, 198769649, 532486122, 49122062, 805533869, 106478519, 445992957, 555837008, 832519260, 751287523, 188174366, 235900164, 730436717, 354043538, 611759744, 457926378, 476021725, 808848434, 237722595, 511618308, 430785860, 245224980, 437741919, 614376753, 384953685, 709729527, 811122008, 505425023, 408164069, 753800608, 470906530, 851338320, 645504337, 599706892, 343713536, 132686920, 415065369, 740126906, 497194201, 549479651, 863266238, 203106604, 541960676, 725983545, 410464722, 895396356, 744558290, 438552731, 768176778, 841523385, 328735457, 631045672, 996711193, 282922097, 157547040, 160772732, 27950908, 839951487, 655769260, 307052633, 330023700, 362701812, 539310933, 605132407, 414288056, 666395258, 32623038, 135894179, 956840338, 129816640, 97400853, 639169803, 205282943, 557646660, 729148300, 306940629, 459876123, 744028783, 158410455, 957540698, 843177929, 160066314, 103031222, 797773137, 770923959, 794551091, 402319613, 131232606, 275298909, 818545054, 644228326, 629899279, 535409524, 300910105, 188447951, 73496615, 312009879, 47765845, 958621762, 734392011, 188304467, 183341252, 577659863, 696826295, 357402089, 228770942, 536625337, 624338675, 863372747, 749915500, 964970660, 827542431, 219439383, 142986799, 269744924, 252843828, 952376114, 17855101, 14540396, 620995798, 206599715, 484202845, 514309373, 860197007, 209769738, 404520364, 89149500, 318770122, 831859011, 319625507, 907709834, 929304466, 172289047, 933000907, 48088197, 295190770, 151750399, 698442032, 54179648, 907425796, 629912977, 764963258, 402963478, 125723896, 320669803, 308212996, 98806838, 183768739, 850529323, 912065397, 833576654, 609702843, 482255166, 703250283, 867825057, 598425463, 677346492, 124961507, 565848670, 445337482, 770393256, 931579153, 11610833, 467405358, 414485199, 876448045, 897080713, 771216500, 920775009, 819484460, 955077101, 694091063, 210805042, 729813229, 317290635, 562162239, 275812975, 957532434, 88348850, 300391336, 778587056, 68681967, 263627047, 194029181, 957921776, 376032848, 165222388, 673472835, 925358023, 783151335, 469760361, 741455933, 78073347, 331001193, 166190253, 239505676, 540621646, 780685540, 661411823, 62429992, 321639543, 941227315, 838225736, 308686485, 194115382, 492979850, 440127445, 268848647, 685371525, 350174059, 569350211, 147073260, 475617558, 577885054, 746703285, 606107851, 468736170, 345594965, 334166237, 721121062, 180308884, 168254578, 85490032, 586891010, 245153679, 501848714, 355485128, 129706123, 966700628, 755289411, 477792573, 51883673, 424960540, 910889461, 9695931, 989026658, 13759332, 398503737, 145731744, 356830852, 288727112, 106591525, 544777651, 830974685, 958081454, 92846971, 307716505, 1122365, 506198036, 222702619, 848566638, 704315534, 998119593, 375340888, 339529846, 469598872, 950299856, 297638170, 810432399, 396501749, 762651007, 251975889, 840855859, 602269450, 406064833, 258437677, 299089393, 98992356, 800427056, 113362473, 269931961, 87130824, 271746729, 43141142, 489233675, 462961641, 848803761, 431772135, 192484789, 289752689, 67362721, 464363464, 557660852, 50823445, 891575924, 546325975, 735431282, 390508346, 500717824, 839723784, 636085180, 427197642, 154411479, 875470076, 931215830, 63994856, 16899506, 997012016, 232689928, 897179920, 513793771, 311425315, 887003569, 679187508, 464242903, 52119742, 852496977, 102997921, 21956903, 811297887, 845808774, 835970030, 929595715, 625691394, 739437142, 901567416, 580172705, 35910292, 443428090, 66937583, 141754336, 387760784, 125820298, 762487296, 851797159, 268636259, 190732944, 152837131, 824281655, 883186091, 518705697, 40895700, 346123043, 225327740, 382318548, 507661992, 46307416, 210032917, 226375511, 318140275, 392574064, 200838021, 273466996, 109160709, 37303990, 19170283, 804642947, 34224680, 842518778, 379185682, 974288172, 522391639, 933345877, 742200908, 817227156, 680735934, 261457825, 72340153, 998228265, 440471203, 302386338, 606448452, 797470722, 138163875, 925201326, 267177551, 229744423, 812099836, 989741941, 171814608, 580356940, 537711440, 659448335, 927897073, 958512978, 201236064, 147553147, 77022046, 326823972, 829529292, 944457989, 717636033, 455738859, 380750578, 581606584, 390344570, 147964209, 336930463, 232195618, 696704609, 586970284, 445591096, 232615249, 670650903, 652245077, 919744701, 94779404, 408657952, 677980170, 450611637, 708318360, 951896001, 791125802, 190241256, 594946089, 573411353, 28281389, 891573419, 499017337, 779769593, 143818247, 210535452, 46597977, 75081417, 238287161, 764954573, 608978862, 866644590, 693742498, 880760441, 279565411, 301143691, 77417693, 827002622, 663146963, 346542562, 305129228, 842674699, 968860650, 569364830, 842324123, 672564954, 248526309, 235883487, 494366532, 736548032, 609558639, 183669090, 420768787, 517101427, 491494086, 862168791, 917819711, 95976372, 354177508, 267773922, 764338908, 614699510, 149336788, 845697621, 176409562, 621121373, 607335077, 395908920, 765421529, 310200836, 668501080, 945690112, 832374729, 950134304, 315767630, 137846269, 229036203, 571093119, 882236442, 417892739, 207182376, 348345362, 125791757, 347900298, 219511455, 649456346, 383288225, 581730659, 833016385, 667137693, 887539256, 558607846, 568329572, 467837252, 637772766, 70959129, 857560501, 475377314, 504640992, 765168677, 315428815, 812297758, 530935670, 583651825, 104216283, 304840761, 699441770, 453046142, 561839844, 690160073, 857750195, 493196532, 883742649, 683942490, 683977010, 131618398, 357117004, 106480792, 77372076, 326919194, 549861423, 834618987, 905821494, 353637235, 518163439, 187349396, 907580690, 402278904, 298189980, 93522494, 375607004, 186778280, 817451454, 61469590, 218089315, 221933657, 625433088, 103228171, 79394522, 203543741, 149899246, 678978840, 931771201, 720204355, 147526291, 870538013, 623792465, 908449376, 410412112, 389430817, 506263684, 544015517, 592988747, 305887041, 585706960, 15375188, 808478634, 430780510, 50020144, 654673863, 225516586, 238308610, 521417147, 24132553, 51477345, 878332896, 531133291, 419675209, 938460383, 697449252, 484488907, 771916424, 172638034, 86248041, 952090243, 7331047, 240898572, 355486707, 579380063, 327393828, 21649059, 840250798, 160490193, 9534382, 176724635, 220038298, 716012288, 360771567, 258603305, 453681382, 202258182, 751217713, 861587917, 878714956, 967653405, 385456855, 319205917, 130179888, 183291346, 188871693, 794921068, 177896855, 910931488, 233122524, 57036327, 919308611, 831518991, 70800999, 674140457, 454005360, 839196108, 348756059, 77410248, 144781812, 496822173, 742340833, 410547755, 432295600, 340696016, 383137870, 656652402, 366479878, 593777147, 799262747, 165752850, 373680804, 134879441, 909195480, 481487733, 870628466, 136289853, 622086716, 593855566, 44947374, 745125257, 701563402, 810394404, 191315688, 872059089, 9727702, 11357346, 654960664, 342918908, 144119586, 958133617, 847678102, 899058957, 908101698, 128144042, 790019702, 649700441, 898836906, 832403948, 264982871, 150473044, 165141087, 735105803, 525359968, 422953172, 231666363, 636695002, 616901869, 886705447, 828547271, 90687584, 992927470, 996542641, 225889349, 222587693, 698307677, 26140986, 784250216, 267233503, 60936214, 410743698, 449066409, 903325856, 322827976, 792800245, 881096689, 918297828, 542550835, 698614673, 451396308, 368997572, 979158492, 589721370, 440079381, 939945862, 293388177, 476175676, 989150567, 543950449, 769356492, 121842361, 538697859, 995490307, 427815317, 626509600, 275806743, 434144640, 262728736, 32190587, 854499567, 472762127, 963005240, 914738084, 287317604, 573638192, 421131499, 381157205, 230431737, 275458860, 150187491, 204953565, 304577882, 631267136, 187877068, 945933055, 477662364, 134988972, 907446580, 592200622, 311569364, 357738776, 998623491, 983082280, 968903061, 611072664, 205347207, 580654246, 835532914, 589687497, 909449096, 20935542, 457217198, 491698089, 202644816, 81077389, 846973073, 273357079, 207721218, 257001127, 958703733, 106043656, 538495542, 511145655, 962692982, 352127529, 93580435, 692376431, 668737940, 183941612, 49837630, 731315857, 197168843, 352144845, 506513021, 503970341, 224321945, 46322820, 963806490, 536977711, 612105759, 537965413, 38847259, 113237891, 512058976, 547417325, 743719640, 929095934, 131732406, 847518246, 937086742, 973674223, 601243405, 810918792, 813304598, 739884018, 49147964, 54945803, 125374840, 583267566, 764334094, 962367191, 708121561, 916580948, 247330993, 640680661, 94566748, 96817957, 233780747, 410653224, 864494569, 364301213, 83012652, 517205672, 426144724, 212009812, 718984621, 573491999, 864288807, 774435881, 418043501, 287830170, 122813150, 399080832, 561893134, 810433325, 624437637, 43683655, 920990410, 761588457, 5929915, 501999378, 837240346, 116915600, 470698717, 885786007, 749873332, 696670459, 197112293, 704696980, 428337317, 688353983, 181536967, 924343916, 18148356, 974079903, 981877249, 143865689, 254451039, 905101152, 743353007, 662270743, 54184521, 71484722, 686192837, 400502772, 431527031, 647327973, 903585676, 752160660, 303737394, 545602734, 978829849, 243036636, 921334221, 982753833, 452962424, 793957994, 130125913, 553293190, 114555372, 624677572, 810816862, 198197982, 474192133, 798324399, 237709423, 349588652, 279645383, 913382256, 71293937, 440776795, 992449482, 681254016, 247035043, 621853349, 237982138, 370190824, 565326974, 816124993, 991280932, 247745035, 389207750, 973675204, 142201632, 596953568, 409235322, 786971959, 567248154, 797398862, 748126685, 492029607, 869849088, 103832552, 982925401, 388236036, 700802252, 462722249, 295764793, 432156440, 87252336, 978404917, 279644149, 52128006, 233727008, 116818673, 21323443, 335148942, 340493116, 755880468, 236384079, 363304394, 159830449, 458480617, 483437198, 795262405, 261379825, 321947057, 659316571, 924108959, 207112692, 580339413, 685070536, 904497780, 817661563, 942928916, 518970302, 610943286, 388326967, 248039767, 606645385, 405797780, 218260718, 569245356, 838890325, 862448791, 420055193, 889929622, 312556153, 715530133, 157093240, 211748696, 870394365, 278754193, 57780127, 867919930, 725175898, 446198986, 482739813, 224731710, 326021778, 712239752, 874418387, 819849946, 349634452, 371363868, 15068087, 292631152, 46655874, 884191712, 808233795, 882686212, 880101290, 948485162, 436484433, 344867116, 919340761, 45964043, 494048203, 242916101, 898185085, 990289696, 895636314, 335728325, 639764796, 178451461, 387738245, 939112765, 405638860, 260160649, 334422926, 787792314, 734060715, 716446050, 387822203, 352728343, 707267841, 472565511, 646748158, 408502436, 402524172, 909809065, 337739192, 149433203, 629518512, 364350079, 906067810, 301316119, 22519887, 609076862, 329318412, 222903723, 192319192, 561612654, 657010639, 872713229, 259792888, 368383239, 469139659, 770838847, 527292355, 546492521, 249814918, 412359095, 418304604, 145124018, 184897588, 759362067, 424173623, 803811158, 438884343, 793227300, 911562664, 128773676, 88075407, 256080858, 337733147, 405375826, 952302343, 465453117, 637453413, 59522115, 953710956, 178223073, 509201999, 384796276, 340827312, 724033228, 648398647, 764749989, 7691524, 268883614, 726200738, 790363458, 163234576, 980932739, 485347221, 9501766, 884406147, 679921443, 246739651, 864324046, 601842621, 612545934, 744645769, 668811877, 687625126, 306131768, 649445217, 121694244, 466249364, 564974407, 865997, 638040307, 559768020, 306105440, 291987153, 978801326, 342907459, 372230598, 348626476, 294771142, 89609539, 410134279, 236854449, 384997951, 157190076, 54676408, 543322515, 379564305, 206424112, 218880549, 657175320, 90879541, 631032936, 868144783, 415867004, 577701991, 897638201, 861996781, 424167318, 246924552, 269515001, 339967367, 817477559, 195962604, 61088570, 459617793, 555383826, 161591582, 914620268, 719753943, 299952796, 721756184, 663735613, 767545275, 497076058, 995891990, 940544546, 642951002, 19187792, 539846558, 747738362, 304318150, 109603633, 328643822, 6334334, 454304234, 620333433, 958482083, 829335015, 543987775, 942221641, 65395104, 809243864, 32171646, 848375333, 52937571, 561600628, 713140960, 104705326, 840947407, 77380374, 421187709, 257725900, 630497594, 109155437, 13496256, 7027641, 847261075, 469542354, 482691327, 541271750, 643965167, 212614188, 740096501, 724492318, 951706084, 255081134, 997385736, 170225504, 195701050, 826798081, 897334106, 924983957, 531672707, 500622748, 193127076, 923378497, 489452936, 190324202, 885820526, 123951688, 572354792, 230851608, 454458933, 103945799, 19742192, 225004856, 754154749, 668052526, 447030515, 458330384, 204481567, 742389942, 475271841, 799303958, 967803038, 123797891, 937499720, 598346441, 934679920, 492158691, 560166987, 484065126, 251261078, 861848615, 927437178, 58879008, 365326610, 239587810, 969217903, 208273084, 889677732, 327784389, 476776332, 743915838, 893909537, 579898947, 436375113, 163303483, 351473046, 858210984, 975315604, 918199619, 322451666, 401522381, 328592514, 569206933, 681160030, 517443431, 647701337, 126973372, 365607183, 275640930, 603949359, 272137161, 137510109, 134932725, 729714695, 303929323, 714754886, 797200648, 773618260, 749945903, 346065709, 916592688, 848750809, 858966919, 746524649, 220689568, 379391878, 209067542, 586271650, 646667800, 674592007, 164279989, 925683817, 664992378, 587397964, 556434936, 984841000, 950674472, 817766443, 127469420, 170271031, 445905382, 24857217, 58497020, 858941753, 21622432, 739312450, 866449283, 696756995, 957443137, 359831477, 39971710, 276757105, 721984151, 805619895, 692758397, 703520476, 502005674, 830858704, 568269083, 240705675, 26528451, 562047714, 762514850, 224407111, 625974702, 57551794, 851179568, 442769118, 828423142, 126792011, 65476375, 737862463, 452679994, 804524025, 97871468, 772627534, 143168647, 681467550, 753035439, 178165489, 37360048, 141895120, 69731650, 387557439, 953699554, 365006433, 4503937, 117605657, 128785937, 764486238, 373121517, 366856764, 266018339, 12016910, 57727480, 949875823, 60109248, 937049558, 356253387, 655275280, 148809862, 770690965, 599682049, 959473274, 640470859, 96853455, 343031827, 938464324, 184510900, 396137157, 85852136, 818576117, 18251312, 745146817, 797642866, 959556096, 64472827, 295270067, 400169634, 610269567, 935059624, 178623337, 788406711, 779053261, 887261374, 842013365, 167741105, 186406966, 315749591, 666111826, 788478927, 544039460, 271477857, 780662713, 155344262, 758375995, 699862908, 581282717, 147218367, 716305014, 959760997, 926389988, 929140846, 392260406, 68564114, 15825844, 551604500, 264952869, 776423136, 727025160, 75302401, 298275570, 725561276, 111046068, 158784883, 455990605, 832648632, 192202949, 828447853, 126706611, 218106264, 872605949, 981107668, 788355609, 781408364, 215710836, 931500942, 777902065, 944123306, 761466686, 769152492, 625340031, 352697681, 146353908, 779967552, 555346655, 501672712, 700310870, 888767711, 304734439, 978808424, 839072937, 413472761, 821354395, 433881588, 557823424, 466618555, 628216666, 505991582, 304676025, 778786881, 606553737, 435243067, 230748972, 975558835, 274478523, 273993377, 381162478, 906447076, 874876543, 449969735, 975508495, 221438406, 678510554, 457659814, 348078205, 961096661, 386484980, 661822316, 849950842, 92610978, 988451749, 119981822, 442173268, 107755934, 664577333, 315719330, 584239568, 712964785, 100526588, 702342986, 536630276, 485135363, 426830120, 618965641, 243833435, 903227304, 680776349, 660440213, 592199426, 161167338, 882776716, 877711831, 217127295, 431054338, 322253183, 542353710, 788729975, 259116528, 414216552, 67096084, 803873586, 102400143, 844823147, 894421320, 514914512, 750703452, 355734805, 849089321, 206337560, 285208440, 980480103, 29617520, 720066038, 381188055, 494950789, 921521495, 773068380, 750932270, 260692880, 700345056, 621474986, 782054060, 218288008, 461612318, 406649063, 747050581, 183844806, 324438875, 487052918, 353976719, 532415919, 442308979, 623743307, 867511372, 114428454, 249870323, 978869848, 734637023, 821028611, 953570227, 403176789, 660798578, 659155050, 23398762, 458817254, 778699758, 533556307, 784276353, 104105705, 101949013, 62024764, 144794709, 57260185, 135650117, 306616028, 502850188, 920929728, 129182216, 531306083, 66315988, 508927804, 618669674, 995812656, 174302636, 44606659, 564933554, 712279812, 870487766, 468889845, 477207091, 374364754, 917457041, 193305922, 482477177, 460046275, 958480065, 924161715, 53591722, 686803660, 592435648, 334938437, 848928216, 860114560, 895465398, 388239620, 424655699, 405496470, 848272851, 59905340, 199838852, 306193026, 919210633, 43961359, 611583473, 885169439, 88403258, 650286809, 307424617, 286341211, 195467346, 696715099, 341904601, 936452287, 256546332, 621395517, 617004720, 156668623, 180086627, 617438043, 975296934, 203993633, 447743213, 954330356, 675295980, 151960512, 213292344, 862418574, 338012598, 499325895, 312526834, 128071257, 821086891, 840542934, 418114893, 385213295, 622400142, 506309419, 959054169, 941816955, 621327568, 225500220, 637699723, 191162819, 668110916, 820889868, 732556544, 159051300, 136828892, 112537982, 1049591, 226275921, 569103682, 631937958, 221578466, 792940384, 511107925, 94485838, 595070749, 4051397, 600148491, 974500342, 217343604, 742708990, 21287671, 718505937, 186820208, 844995109, 347071681, 967262711, 962649898, 880825407, 414576718, 402377796, 785932603, 871309443, 954355569, 984224236, 620816823, 60617627, 309980989, 466180849, 784383663, 824074745, 433464929, 762322753, 132380813, 293653208, 779334338, 380711669, 736277422, 520751184, 778899273, 435323494, 374886812, 802486854, 537043093, 198905466, 21874450, 299538696, 884026010, 730893542, 549421630, 911845655, 21152504, 668061596, 98145981, 456789519, 537043877, 384027312, 669336959, 155717032, 520203384, 811119976, 185775413, 707556582, 799094231, 79431578, 974708331, 260917224, 743201808, 574780871, 5437542, 237597653, 276254756, 289631444, 371812601, 103331403, 803140243, 381018792, 607726771, 224139194, 731267007, 637708238, 497652408, 658315640, 51634200, 130593890, 664242238, 602060321, 630844718, 353864997, 579353069, 100958297, 677081430, 279274768, 273432432, 778443025, 604093941, 241580638, 123730917, 464271532, 181067248, 604121535, 22599994, 754842329, 931573915, 218416559, 803372107, 859774763, 193105272, 764926510, 185821439, 891598028, 268046324, 875369656, 776429459, 613845821, 537186713, 724752047, 314656705, 493388312, 8905743, 602833968, 317692811, 747473099, 955896338, 294146083, 403868251, 915107609, 973038955, 362418666, 415354546, 815690291, 880179391, 186539843, 459769167, 247473741, 610701359, 831437228, 301347713, 191768750, 110338729, 909369128, 755811465, 264836516, 161390554, 667072699, 25813167, 94636033, 153191439, 138894764, 290790843, 944438890, 178643569, 733867365, 722419305, 540404350, 625423067, 220047260, 597117590, 210317285, 218923363, 596091985, 495879607, 838793463, 931495532, 150388087, 80243195, 567796458, 233306825, 836982172, 390360891, 509155105, 189817312, 648698670, 107729866, 688106166, 177214180, 816403263, 289510864, 483807502, 797552663, 615971149, 849654771, 366485819, 116456478, 558071273, 288813945, 276976725, 386736390, 606527089, 164856560, 632808075, 188015630, 464508152, 332711203, 887227350, 18839165, 535439306, 251897815, 989127341, 511527393, 666874554, 528822371, 923493584, 812481270, 888467761, 349320130, 641253874, 225338867, 669170361, 101434501, 835231909, 542424022, 582407262, 24999951, 649075563, 774735650, 398377246, 12444859, 254060160, 248832777, 799973175, 880318784, 121940336, 899314435, 996693628, 344609321, 450585720, 334158157, 914454248, 553638021, 175336613, 169342321, 406594046, 754739644, 719640390, 686926181, 12653286, 443331116, 951328723, 682068013, 344763484, 91563703, 132505775, 588088306, 39910723, 642605663, 336668320, 671166180, 194126121, 545792429, 427178670, 113603170, 788452941, 846221591, 366830206, 823282557, 416713030, 794552248, 655075304, 762714669, 664025349, 648690244, 447010650, 480311427, 814404251, 551314622, 652970459, 160818817, 602778793, 810757979, 981892289, 585355713, 291223659, 512020549, 783357923, 997942154, 428297153, 719113687, 354020740, 799818940, 711319465, 769221102, 333389329, 988537082, 535653376, 692061719, 916965284, 926271918, 455134176, 346554337, 150825737, 642110139, 813968234, 990079920, 309972914, 525666570, 597789529, 555873158, 361477517, 84750527, 53958534, 97004562, 129194641, 407863504, 421317610, 882816221, 311060780, 377498439, 528887312, 154987413, 728801668, 879930164, 152261073, 696851005, 797224722, 485830967, 206899034, 11096761, 544671870, 679066320, 728305965, 897208518, 61373589, 687793406, 342303329, 505587565, 465939166, 364388972, 994693045, 348979502, 317656066, 441605598, 691909307, 555700080, 589685958, 613943657, 121529867, 460592831, 773356650, 934048964, 448827760, 60533702, 424619305, 863919174, 566484608, 284281721, 516926078, 156977383, 612086608, 326466502, 861994200, 197325612, 307643621, 672737134, 721959868, 986586649, 51345927, 13845429, 813200704, 283897605, 641764882, 74808605, 636557748, 132251089, 999452299, 693022041, 828291602, 165397557, 643720680, 196265477, 710651969, 578424128, 705982219, 775725723, 113934936, 448194891, 317404991, 902347115, 355602135, 441996159, 117784421, 608223092, 42907799, 583903579, 98987109, 196196859, 688686805, 203778743, 617713405, 416882988, 690269196, 863160343, 489851548, 572206025, 751735062, 642024234, 831564942, 849060480, 143571670, 182367099, 686044101, 250974424, 997578209, 49936750, 701899265, 748501921, 663697102, 424516478, 253173287, 380219773, 874829943, 328857099, 8285295, 645860944, 601054489, 535816651, 490966589, 837717487, 739348292, 780090507, 741211562, 838968349, 490779681, 213074648, 534309005, 602571237, 680364669, 74048724, 652852467, 156110737, 396305226, 120520332, 573322189, 553152379, 460866485, 997855802, 915198829, 906335111, 972661162, 606172666, 103219447, 193012432, 566448223, 705351327, 579582611, 279387768, 956908241, 548837386, 960540956, 457195820, 61880891, 129822773, 890541033, 729212946, 40754628, 498962213, 518054458, 187940764, 974939618, 40003675, 379003324, 669598291, 828413076, 735721619, 68303580, 161112975, 962782957, 805641333, 761336413, 597615160, 246918620, 672546122, 541026720, 300682168, 282160339, 504023092, 819141190, 803916780, 185897413, 234570134, 586760222, 973680801, 891627255, 977399625, 701474008, 80010761, 223723702, 276498347, 427904166, 384264781, 435998967, 429361665, 189364543, 105078895, 968728656, 222634353, 568562898, 548943639, 780498355, 717133325, 415809469, 100938973, 362222048, 57846075, 343860192, 929811642, 715435242, 867758175, 317219671, 963108024, 930237044, 722607469, 646486903, 623859000, 923185547, 610007757, 237695957, 568169033, 686443366, 331100054, 482667617, 902446397, 471781358, 420369246, 63074917, 803586196, 276458524, 96401471, 613183697, 75405555, 816679253, 34033402, 823839212, 431906199, 976388635, 732890855, 984399007, 917231263, 870395574, 310782198, 31255985, 568809609, 659279120, 992192259, 570259363, 821312516, 446391583, 765023793, 440540219, 614113763, 797605388, 955129382, 771128241, 251331255, 459215269, 571153529, 845407564, 668809571, 391894495, 939989868, 794605374, 298588192, 342844815, 136471262, 611057424, 10567368, 853074887, 661334513, 361997341, 76642646, 326278249, 424623068, 310946525, 872621620, 345678837, 840443269, 251072177, 998820581, 74761154, 376172352, 165438335, 205372471, 947599248, 594933599, 323892786, 110732312, 934107551, 755117712, 684497106, 332373521, 966460779, 959572111, 376923176, 168339182, 157030501, 692569008, 356101832, 444559752, 701815442, 999471023, 83565487, 552090671, 231321574, 973431675, 106109794, 389400557, 978698842, 575607457, 333737342, 518132327, 421729486, 489038833, 800984012, 851467040, 289850681, 2682046, 768423857, 879851517, 378041509, 327844750, 371449108, 182527083, 535692937, 170519470, 213085981, 438011762, 146947965, 832195994, 757421902, 294421857, 146126972, 665235827, 332067741, 608291245, 71328629, 104646507, 908591538, 240888983, 449158073, 721236605, 213422194, 264741975, 12517408, 742671332, 45335208, 152731904, 541058897, 309049783, 31396934, 308027326, 446545631, 287434876, 894977433, 879788724, 134719042, 924012622, 183152278, 479093175, 142163347, 697879092, 226906144, 893587031, 182236184, 691837785, 646137529, 585729178, 655647302, 217892129, 372930950, 978137315, 34075700, 899703080, 388196861, 315124381, 326639639, 876783181, 736765908, 934713990, 56939417, 723242578, 664513107, 167427437, 715163748, 510395040, 363679724, 326906178, 403370801, 644422044, 796901191, 446619533, 891551502, 355243781, 639385994, 593289507, 216185604, 951084061, 845477582, 221726010, 542406670, 484382801, 352547884, 369977233, 978332185, 67723407, 181749415, 715553377, 369563763, 364179984, 62953923, 149875435, 729696288, 461254477, 142360306, 995619786, 128180158, 45633921, 711421157, 12087500, 38438450, 953855183, 269043835, 989531959, 197820113, 581648986, 580094700, 279163473, 20699517, 319853982, 170047027, 766433520, 600661870, 342345627, 555334845, 907320281, 612455656, 222629662, 324093245, 793628597, 401682571, 452110779, 839989854, 925348758, 612137187, 907251748, 945027389, 457695133, 698431960, 454882839, 920749327, 121987979, 145731689, 742812067, 901273200, 377318696, 445308584, 654769159, 971819270, 950650498, 841968317, 198460939, 907641004, 118688991, 663503198, 336998394, 906547676, 927912941, 104319635, 322877796, 701957861, 285566221, 296144828, 205096694, 769888362, 666307110, 821293422, 111440834, 572393343, 697502000, 49292291, 56557194, 421528945, 23557997, 790716518, 862547671, 12061898, 935935100, 165797170, 529281400, 389258416, 924981975, 134850389, 264415526, 780895323, 380762735, 414566725, 120808470, 250028124, 878314481, 280482046, 604790169, 35510675, 215776754, 87741477, 187611631, 531541918, 190986471, 244058796, 531056196, 931320782, 5046418, 435237574, 198775258, 493050179, 255357929, 8254578, 586374550, 64450647, 798861546, 30605413, 961788412, 452796185, 438925542, 797651112, 517067610, 375573359, 903626820, 332024983, 598418413, 721557877, 134648850, 142294315, 409380821, 71077676, 687771565, 238727977, 205906346, 251878111, 693286740, 477311361, 642216487, 204328101, 378809136, 135698332, 501293958, 999858669, 756195399, 951795192, 659802489, 573216290, 154277792, 378515086, 45234371, 986077772, 928260284, 286327693, 247705055, 972436019, 933803126, 225839632, 672394262, 59244389, 538566909, 342152601, 360604800, 244575393, 309412647, 58016929, 155510656, 904633120, 885103746, 636008381, 682853015, 131878307, 574863962, 381327427, 783937115, 3073240, 753915855, 120174123, 11183460, 448523721, 223318412, 696229110, 391337329, 879133223, 886459375, 43334606, 603398800, 169378545, 321119632, 563650026, 359960607, 478190633, 967812347, 670734819, 965697399, 322269337, 935879025, 309937574, 835476159, 140304554, 508818759, 235889315, 290880868, 424595930, 669385053, 606199577, 946151756, 486633141, 542869934, 194733517, 678230302, 590327166, 180338630, 967753599, 364867250, 653265840, 626306663, 653821258, 790569169, 370028191, 58053464, 623810120, 310582804, 812919829, 340760981, 929809532, 156593119, 775965862, 450304838, 940328811, 540297388, 566030216, 875008671, 424442756, 366130564, 215030325, 781192051, 470671711, 341480079, 832986314, 271651497, 971387220, 223225512, 109541483, 98779104, 750713318, 92378757, 6859113, 182333567, 611641187, 606452042, 649260738, 857763970, 670092824, 114256277, 397999546, 270182640, 696925856, 627795690, 612858430, 382057972, 141019923, 221673621, 943511467, 897913880, 799902534, 853670517, 276015049, 941057534, 323786935, 565205033, 73897872, 690051821, 272795635, 181133081, 761146177, 998152620, 894449856, 55662529, 680673704, 418409816, 282446005, 320970167, 828432036, 544727516, 656296779, 897085684, 415644642, 410794140, 683325877, 348548182, 606019032, 214287859, 956395855, 779859894, 950888846, 446009650, 578512862, 772122554, 155458250, 48323652, 48904626, 300741321, 941615327, 816132500, 97988138, 386453479, 971074259, 34129137, 74856043, 556175303, 183767995, 953938141, 140218999, 773623377, 705437697, 553277748, 304511793, 464777142, 307453946, 965946081, 628458057, 444393825, 83204046, 554215230, 495225563, 673740304, 343313388, 822283656, 382551260, 842139987, 154741685, 998692997, 431490745, 666332010, 70840739, 344435595, 503814180, 361648899, 69673624, 396106029, 919287027, 237443506, 129028322, 649632673, 643091982, 863778016, 714495174, 294974369, 369205787, 774236615, 959847610, 313259742, 328775789, 83149703, 677475830, 48346173, 303705428, 428390714, 852899250, 181280105, 275088947, 364313094, 170219768, 985825791, 609582807, 836674014, 331615886, 608846876, 487840278, 332385535, 982096843, 833680889, 167818654, 149659478, 395058685, 720131343, 891595156, 181078893, 710531531, 528985133, 541603490, 295430049, 793269684, 435422980, 192649970, 389608300, 332764541, 670598120, 375747337, 919545420, 120339623, 857125658, 366371305, 488435609, 745524541, 500710969, 372503141, 555409562, 416611128, 824166430, 5366239, 812407106, 389726338, 132835448, 657796922, 487766040, 301891684, 674541748, 907499268, 20493847, 512509414, 434051534, 97328622, 648713540, 748361958, 312096046, 460977171, 520157474, 823534440, 118902406, 352196258, 545719025, 685397487, 611547958, 579246881, 623986621, 801137817, 514798694, 870554525, 765031680, 887626602, 830417326, 327602502, 375943900, 391392680, 97070941, 924099829, 856027264, 466058750, 242723160, 958977794, 772178302, 578882834, 537868354, 11175285, 265160163, 216901078, 864082709, 411321312, 175156176, 916917424, 658900903, 983235257, 34835407, 636893629, 280803227, 721419129, 272461144, 302856333, 403501096, 288669606, 166571990, 916131185, 46162351, 430006993, 114653498, 288799765, 899578561, 275549129, 569652145, 324701836, 1875303, 482716120, 610301647, 627794615, 487597851, 717844277, 697810555, 788719125, 116402961, 738975643, 973484900, 536322670, 557256334, 908277164, 685673762, 906592163, 218820863, 826513311, 274694662, 315775122, 61354141, 35465867, 889797638, 750329664, 247359149, 532503412, 502564790, 350479125, 896668487, 414950330, 66456487, 911033631, 260714817, 181897186, 202561872, 659860146, 852560796, 214582526, 368642735, 298786189, 238348637, 114491395, 199581978, 919899234, 717936090, 357843640, 42839688, 616869572, 761002970, 249999570, 889837565, 41815749, 65547404, 866345401, 432242203, 387014628, 497578246, 224908865, 181826966, 995061775, 620398167, 560954585, 51454265, 415167881, 708656130, 787798616, 98440804, 8858604, 357618466, 79457452, 111361879, 970301626, 216452259, 629158998, 671704115, 171998451, 16400126, 182899640, 800823797, 126179484, 945175625, 752939346, 486262078, 579207771, 60233303, 934324250, 477164241, 704773734, 968726247, 231838489, 199168586, 371867382, 415458101, 950943820, 410206779, 407288493, 582075807, 721761189, 830502828, 399803303, 955096460, 152924116, 20220866, 161722301, 388201078, 411807067, 859342636, 987323727, 53031590, 805034595, 330356368, 575723296, 536743629, 543626306, 521729886, 206765919, 785991466, 580096849, 521515133, 434562047, 556307588, 939322682, 817297046, 794833872, 384556647, 4313793, 458235044, 455404722, 925745644, 628283037, 662188194, 507617991, 774944185, 828570107, 529834394, 42713807, 69430001, 716764644, 230940883, 236469759, 666626314, 664376059, 699738623, 547776724, 489613746, 974181104, 774946431, 682416961, 265235444, 797621309, 877510381, 772980288, 821331446, 669985597, 227736732, 707456213, 387789135, 921484511, 851853396, 192041143, 161882318, 303050777, 784432021, 322640723, 939681766, 429009550, 955890862, 468996983, 41882248, 897001964, 618987720, 918771425, 437932275, 959996704, 171013700, 543958350, 768017712, 648073123, 426704184, 292680221, 657338124, 53855757, 732369515, 823824844, 936723658, 243365791, 734170736, 268921794, 238745686, 718077499, 340336555, 193048826, 939051858, 401680815, 776495511, 37811560, 161162867, 71891779, 932714216, 484671645, 125311421, 366648980, 967835435, 594226713, 452726897, 397078953, 459942300, 645922101, 370982862, 178327433, 740961494, 247235985, 489273009, 640398526, 448972260, 300308494, 92979829, 730202887, 715176701, 442607006, 976015976, 21512421, 936079806, 557395777, 213111955, 154457733, 343863899, 369675646, 560377946, 821362058, 198441120, 34506, 219156442, 834328434, 413242828, 133264799, 782538136, 528807922, 262796359, 243445268, 752862591, 913668985, 723762954, 782149407, 105155413, 547863054, 597081252, 117111390, 48996982, 381258190, 240176444, 870447696, 71297629, 80494637, 337682441, 299450100, 641691928, 855818562, 580974128, 692534427, 258924276, 121369905, 645227762, 412094442, 652612758, 5609803, 683296288, 9128385, 228792651, 955482721, 732616446, 26817283, 578985578, 94866638, 634428239, 865265271, 934888072, 41188567, 889006559, 408000921, 130754530, 665767456, 99602089, 19951446, 615721558, 518219227, 628630694, 556925096, 903825149, 32830901, 295429912, 164155610, 85515511, 329495171, 653717766, 867037956, 868811889, 503736078, 143056487, 815541232, 580572643, 851302550, 167949182, 706801509, 978664598, 974272189, 59904777, 192789922, 222206199, 22694988, 224897925, 808194159, 597868072, 978640002, 153235535, 433571529, 919356097, 217312416, 797795321, 846811650, 291409879, 247848910, 824317636, 559318742, 841447317, 211146269, 969170505, 868378846, 774870779, 745335720, 464643032, 819072204, 605020134, 151522012, 18157212, 602221834, 981629953, 856875383, 902025912, 893420676, 774686948, 20074112, 996679551, 756325216, 266057955, 35550994, 413361283, 868158324, 516666393, 638902791, 574967182, 497235205, 607280129, 559452937, 484464601, 753525929, 195090415, 860429825, 760935235, 279313873, 98758199, 184961688, 966458707, 786786025, 638471228, 255114608, 401817915, 677990793, 38968704, 576806925, 717117419, 714212758, 625281086, 994805658, 362286692, 545667352, 897088601, 281752189, 700771217, 190549203, 7709977, 364917112, 61467411, 508754408, 665606228, 734674823, 459278667, 41869865, 536351162, 126761771, 640637941, 790410062, 132693434, 559226521, 355658466, 383098232, 648955790, 210894114, 221663872, 204857886, 519399668, 574824314, 748532394, 933844992, 628084076, 82310208, 166091775, 876796838, 796421679, 267193022, 338431147, 502521184, 685215617, 981566971, 131052398, 752685943, 12151326, 91367253, 282218295, 886922080, 642362925, 482556015, 588730177, 638788591, 126886894, 51055613, 916571218, 997565145, 171128135, 22776854, 855461297, 425920701, 488000072, 697492469, 157943966, 150884971, 625030658, 282464407, 230756062, 657468927, 544656639, 880543587, 117783684, 199314509, 460609045, 200266911, 652160962, 326050354, 863783819, 355880856, 475342627, 510934703, 272076972, 266881173, 892110553, 953125345, 189666092, 718093968, 441402075, 800280757, 47727750, 129587245, 603995551, 883782484, 603853440, 877371209, 374237467, 76189334, 211029409, 9961218, 171974100, 569244796, 776646544, 323590865, 935751798, 367183785, 918666532, 998371396, 109672162, 597171037, 837895739, 242141100, 997673183, 965715293, 530946749, 162122103, 597710444, 406211400, 546903222, 47482574, 39854599, 99056203, 659394165, 825356380, 655099454, 537486204, 984678319, 229129836, 314970894, 379519867, 376500377, 2734131, 878291775, 102364497, 263014209, 488443588, 899838615, 791732369, 645638, 496098463, 889467075, 379407716, 104010431, 391792954, 215478045, 687761543, 85469326, 712878761, 585737540, 974802858, 54681702, 256988701, 65391111, 29581851, 397966530, 419820542, 365301768, 144512771, 31330663, 118580966, 431017042, 519379876, 25468884, 887632435, 942010027, 360869422, 712750589, 942730832, 914935629, 584981030, 342202287, 908759822, 631383359, 598502981, 445720045, 872305194, 125975331, 740894874, 334000455, 545945098, 498712720, 874886883, 689524010, 101384559, 495440000, 295956827, 285220180, 379111771, 609119657, 485366008, 913694104, 6432647, 240833940, 906361622, 125676768, 541222654, 190913386, 446198045, 276352106, 213930628, 661712241, 500850579, 454283711, 218360594, 845910646, 990919068, 958509152, 977598256, 899741200, 380851268, 332875603, 862190244, 332127660, 228506317, 824721350, 869994422, 38469217, 619595089, 231146114, 846278251, 651334560, 61745902, 56293196, 991703862, 610698607, 881959700, 152650584, 167470984, 857517335, 863802000, 208389484, 918737362, 401613108, 96543939, 881675548, 662898596, 35887940, 536427009, 366700501, 560039213, 346010475, 534359799, 74814220, 136016333, 268982872, 95334056, 626238233, 49234339, 836191625, 85270267, 825533730, 925050071, 749139021, 464862952, 270579900, 162481514, 892564544, 352538413, 299769746, 995493562, 982483625, 763203857, 489391816, 977136474, 855206923, 351333533, 457457881, 796144834, 844933990, 406817045, 896154628, 291828623, 124626303, 704072722, 599689686, 734986801, 759298696, 855274637, 415553743, 352432042, 427832384, 204482402, 842370057, 488266181, 886074269, 331485916, 610402842, 8421782, 71550749, 569732184, 35676466, 613015975, 520021951, 36176070, 426375791, 747246671, 111335976, 235226998, 582869707, 453629810, 896572081, 558690138, 942263581, 740790959, 818087652, 168892693, 538441898, 958126894, 788138033, 38021837, 441176021, 880699442, 761410910, 936187203, 772309929, 513914449, 513480770, 721530727, 610093628, 242397651, 817941805, 182630312, 888991455, 248107655, 663223443, 712124787, 513013991, 624095893, 815061418, 73159208, 7706082, 458674921, 500371387, 91210508, 910997570, 105670515, 412184099, 724827775, 40120972, 493126822, 203011614, 206582178, 654042240, 705567112, 150357478, 715583359, 765707640, 552964791, 701221243, 915881294, 541505490, 807417232, 591418788, 579270824, 337013027, 613955636, 814770055, 924822373, 909985974, 453455575, 646477281, 226216681, 486050987, 422293017, 2249929, 129700608, 820773188, 636288786, 793032226, 401804190, 463272559, 284209808, 174349244, 485476502, 647638917, 445659117, 39294662, 62982554, 546329507, 196545713, 820684327, 415666712, 12249220, 898148911, 629233639, 997687652, 461568211, 646654681, 998438709, 977879928, 37310730, 273179882, 399953671, 237759036, 244963347, 854280601, 787136656, 980394210, 23062030, 886804023, 864803764, 349111759, 519202482, 549464397, 56722991, 453402899, 125513623, 716910249, 117439089, 270029520, 122788977, 94455493, 163429700, 154922960, 864303749, 293158627, 768681042, 233764689, 183718324, 795839253, 459690398, 275094600, 440051788, 568962983, 120363596, 89404401, 187287076, 88369214, 328044304, 502859655, 267418462, 240136666, 782909165, 149409029, 282180906, 530898266, 868359677, 709223248, 808410597, 774348475, 450494921, 927491094, 411277643, 602833832, 217165643, 303926428, 304662933, 549316418, 822047953, 346794017, 520120478, 76006874, 905245409, 770998174, 605183283, 792757634, 252390568, 309752560, 965092876, 856878629, 614044968, 107255787, 578932079, 571331886, 605442081, 128133446, 986102879, 941024347, 737840706, 355266618, 98982465, 94443997, 591165911, 896903334, 874782891, 192301980, 465197894, 794089596, 575000556, 715467954, 136376098, 377554186, 437570472, 421285140, 614055916, 954097559, 88385723, 477946493, 85359008, 896532414, 952143562, 913743321, 273051884, 953117319, 919127750, 918338193, 346368672, 261637799, 12596175, 170457798, 489629174, 528571099, 284337232, 681775278, 220942216, 211048164, 805863378, 186661080, 797773280, 318386637, 590491752, 490544201, 311863015, 85111644, 295091475, 563474663, 620007717, 123619539, 540403427, 292892020, 59767959, 941823564, 898534721, 74972849, 515111087, 816363688, 600576606, 847267705, 453583633, 829859999, 780557216, 216727741, 991680065, 918096425, 924070845, 833442320, 266973080, 887494457, 767028792, 466673730, 568004457, 511541280, 985467994, 817292247, 204892736, 575542004, 634750167, 331309678, 484660623, 722752126, 391890763, 922823327, 898025275, 298680979, 416516937, 288331737, 748340664, 509638944, 296185364, 29219003, 723934617, 541857361, 203566719, 862937809, 696788190, 49247855, 126150316, 60983205, 440754328, 742981627, 989933843, 27821279, 308529813, 22914275, 258302594, 18178707, 46853544, 1181600, 768387399, 438212715, 774310024, 444080274, 646124814, 395132897, 100417574, 962192128, 131728146, 627940101, 100366944, 713129566, 944764075, 200464964, 739103068, 344038735, 610047213, 701287369, 903568819, 313323950, 535662853, 279796379, 218517822, 949794360, 64927840, 463231251, 120137716, 288956921, 237661404, 89242909, 970629087, 842440273, 605066822, 499578419, 61069518, 313895898, 659824381, 164728630, 873955089, 311709085, 515420883, 906278198, 82099986, 967713274, 96205998, 239512011, 879725606, 809077756, 489521574, 846049429, 363473544, 777174350, 246160151, 487499869, 259953945, 172500635, 225959881, 450616805, 510264962, 207179545, 612838384, 663371547, 148192277, 211154407, 518692749, 124545033, 394652816, 721547392, 641818392, 990393905, 111377185, 304108744, 45567288, 514587986, 400166681, 165707015, 820190354, 181085374, 959845105, 111795513, 55678706, 618398555, 497253187, 45605536, 364338780, 369678872, 893684258, 975705028, 970586365, 602606639, 372671867, 207379626, 952709935, 599063284, 420356329, 714415327, 341353508, 831055033, 490265677, 79577520, 300133658, 937419701, 678745740, 258711607, 775393918, 432615263, 667803563, 256225563, 177407930, 849159109, 624943823, 37472777, 270044765, 724591624, 726191123, 849506690, 935924777, 406132317, 986681876, 176621041, 932324674, 583610771, 267871840, 608945874, 186939818, 220488045, 410620497, 221505836, 556039966, 490254916, 672246921, 769135886, 187750095, 664164235, 943931876, 158434042, 461413139, 562886231, 807362089, 802883597, 197797504, 754795957, 681166908, 884331161, 497297232, 514101013, 19322175, 618283278, 558780138, 667202655, 65377942, 849399315, 40393723, 489340549, 693415998, 562519129, 161726220, 773776585, 701416678, 739674570, 64561871, 91123456, 852167389, 932450825, 297818200, 234475595, 821273069, 483728185, 884861754, 866964731, 436244389, 872705141, 820325921, 970490340, 881285243, 337883382, 89925735, 235514996, 325386555, 770610348, 368011347, 803772330, 248352060, 693070213, 472077851, 444392557, 991054122, 486047932, 303724307, 537152416, 259943100, 141803930, 819595337, 689813006, 778198819, 763911657, 247551929, 690613519, 101664425, 131360888, 453607478, 735828635, 662575524, 688398363, 90559166, 340150542, 423196080, 540467296, 537374017, 892928785, 835033107, 552876757, 286926525, 986107223, 752993896, 958448042, 327233717, 359112570, 385653584, 842972739, 776501979, 18104642, 160385060, 707684580, 633479551, 67647524, 547488471, 589035811, 419848852, 478759389, 369346904, 561922552, 698500351, 524461787, 459046739, 910468843, 126400015, 565659092, 82037722, 915088525, 297880940, 206209059, 908484388, 604230379, 829556181, 542662522, 898987860, 40191259, 875142109, 503522286, 254296255, 241146149, 325665955, 763910334, 695862180, 968203137, 234479287, 330483900, 575071469, 374891109, 784108199, 192597152, 242290024, 601888980, 525169690, 726352551, 201179018, 870462828, 936907288, 848868950, 830854190, 463397249, 581121361, 141406375, 732944368, 490901336, 594182774, 802922057, 384112211, 781662447, 119997329, 793669815, 691726768, 607969807, 677060760, 576438860, 611011946, 110471899, 149864250, 913709964, 486517694, 649017642, 358235726, 296900258, 58532591, 941723000, 965696822, 577728411, 401414047, 598575634, 647856539, 663140925, 449481097, 674923258, 137271464, 775919799, 258411214, 68203322, 282347964, 850585522, 903101584, 24959103, 443352448, 354729085, 832648433, 49374045, 392330518, 728211710, 182413330, 391995757, 607346067, 909800732, 478672832, 434573454, 719637033, 411108495, 820428871, 260350919, 182098678, 228610241, 351157864, 403841297, 908651127, 882803715, 374526239, 118672016, 165760893, 789651238, 382962814, 562232793, 961628604, 272915418, 689530712, 920570127, 842264975, 841065907, 860757110, 128034092, 850669852, 110794576, 665084646, 509703692, 610034547, 360972453, 553445413, 930918931, 159171900, 990901982, 78771224, 59472441, 635811739, 790071984, 397940865, 876092650, 423444629, 732311259, 549091488, 108137908, 202921774, 218700159, 832642487, 43269794, 989270889, 718241021, 127615937, 139926887, 935896405, 758234537, 475788598, 169263000, 49125704, 822146801, 573644950, 442597256, 996214571, 481894304, 374077415, 623323621, 362558940, 401759374, 418054881, 587485421, 230255758, 660706953, 810336583, 667831603, 931978600, 839607241, 161679446, 240035108, 467731865, 154486255, 723315568, 839235424, 256785806, 760536420, 33803110, 192506274, 223852875, 529360529, 206869251, 350132520, 903639860, 63806530, 409749151, 688602556, 479620684, 938268852, 381587169, 507117108, 463262022, 502838094, 644466975, 40696189, 694765527, 809916929, 760161269, 887322913, 593890842, 653153090, 412592034, 871467547, 264486814, 733605727, 141949967, 337464542, 645501081, 7469689, 214384560, 14857835, 791017096, 712899065, 361363806, 485761894, 286782314, 746609125, 191219081, 690667356, 997138745, 220786241, 144322973, 260185340, 637952964, 605025724, 309778930, 13612529, 786919891, 959154690, 211367212, 603927587, 925642117, 655734357, 379418304, 140705590, 239318807, 896725833, 105895411, 719657099, 817538231, 917510260, 404297148, 342052778, 99664271, 822021542, 782911485, 829578635, 422622994, 578844163, 307718594, 653604290, 166447569, 480186123, 974800839, 409370970, 177258110, 928780280, 825678675, 120704749, 216253185, 30491126, 55686430, 479215743, 556126272, 738595021, 392320548, 997526018, 641049948, 855362851, 402165421, 462633546, 810801052, 154113816, 204693370, 254084657, 355234513, 48936676, 771162480, 815287425, 897224087, 242009197, 264266675, 266762272, 884191042, 809316125, 977005006, 319113355, 254841611, 101670946, 713132421, 21246347, 232202734, 70743067, 982900630, 734903269, 22044505, 118370918, 712458797, 775278861, 287891339, 656435065, 248856919, 945780412, 242980157, 653925562, 85295515, 947724693, 151862345, 339381788, 823930155, 45928557, 158809012, 261864433, 362868655, 739157771, 842202781, 719264690, 389711557, 714680331, 575180873, 970681591, 296536976, 946873692, 439135465, 535258906, 830036044, 529299606, 179030099, 676325812, 442233167, 816326706, 227571041, 508588381, 425677642, 272859900, 584090990, 823425104, 108251378, 35393044, 735722675, 569572330, 739034846, 95104518, 105118590, 437624092, 204320639, 367619462, 944055750, 412014079, 468590898, 642203243, 47685103, 544226928, 247611971, 827425988, 39325017, 47129994, 181201063, 994586033, 678618108, 18784887, 725061901, 585550591, 396029350, 828659323, 786058547, 392560770, 957717608, 235435921, 748618747, 189711292, 338101916, 100719775, 657928019, 475025317, 805615630, 365767506, 341040255, 986081292, 795686026, 68277830, 395511826, 987690332, 78908092, 487531130, 625279746, 610700210, 423266215, 799687667, 341748849, 936751914, 290839247, 622046678, 464751879, 599515445, 495133455, 798346341, 757045399, 859131350, 993345629, 240725577, 780633092, 968090404, 860885912, 19009871, 391226710, 670973103, 455031558, 656217305, 48738498, 72880752, 642260823, 548860366, 287783201, 566879307, 543191896, 384897831, 417313809, 258715830, 640126796, 127346623, 353599786, 938831811, 567460640, 681661720, 98197160, 623462160, 48437687, 471022373, 199813687, 232987646, 916538808, 531204109, 935396801, 580113697, 482815540, 692068381, 642488182, 69405993, 750708940, 842755980, 845214576, 873852497, 168757503, 860251831, 522563157, 382948208, 415713204, 706469291, 316985248, 984415103, 523964364, 405108730, 773419332, 424291106, 966122190, 73107447, 506033893, 183709106, 727847417, 47276338, 959965002, 19965223, 720702698, 771834989, 254639884, 595399353, 852876697, 771143866, 623947516, 136997554, 586911350, 851776564, 122321397, 763743599, 418844540, 297680258, 845502205, 107682133, 529169112, 639274253, 746587956, 348641702, 251128694, 547209084, 764967630, 444478026, 803548347, 23627958, 856688354, 754096726, 543161213, 823216755, 670381491, 370449452, 803622136, 45059433, 32145521, 717768310, 58022780, 451709279, 981572435, 601655762, 891376419, 94312122, 23912700, 95353728, 763806128, 952495681, 156244243, 756914609, 784411323, 202556518, 930716174, 599549141, 60218300, 826104829, 567497533, 934877174, 81722768, 755972125, 115555925, 648536099, 152070397, 244363421, 486061823, 230120970, 127886833, 365350643, 549997145, 735738218, 255680375, 897335901, 183403863, 470446547, 252325426, 314332986, 347184720, 664566840, 893330177, 606302725, 753082855, 218215186, 639747578, 817303649, 499015416, 147330720, 745274416, 642375564, 837273276, 122690822, 930972614, 602319664, 469276322, 577570739, 411801223, 967935435, 146393507, 878916051, 349593077, 793158028, 324923405, 211115344, 151534611, 430924690, 856988523, 258076135, 937598403, 990156049, 916673953, 483518424, 572121392, 894334823, 286799694, 523577995, 359688573, 215536287, 686118986, 743266133, 886877951, 366292601, 139208573, 775558351, 92126077, 986434048, 891985650, 59739281, 969829945, 214449121, 514230747, 511348609, 440592635, 911754332, 774118431, 122004988, 370262905, 368187860, 864426303, 901595776, 668153402, 989047088, 81246797, 32911116, 373469823, 706784043, 249110056, 201298110, 703710721, 530330347, 840358924, 958024002, 980752409, 490099940, 666811916, 565845466, 200254654, 125832463, 935820946, 438399248, 91439031, 186188725, 191319221, 976606608, 410408730, 942747938, 454473085, 430072132, 662135949, 617869325, 651217295, 933156436, 658762357, 917232243, 927062377, 680088339, 757343473, 365886413, 548201019, 127801987, 568122934, 540983911, 804933115, 384455726, 17338388, 691014662, 214552631, 610110290, 69501234, 451976583, 380976407, 35939840, 250989993, 103049635, 389515567, 462267674, 753288958, 826252515, 105362110, 575316855, 109794507, 604229891, 757746884, 598508197, 697259255, 955333566, 330353071, 692393726, 106123547, 276740439, 167003472, 441232952, 792650645, 780924630, 672708920, 839513530, 650685767, 130983002, 681975328, 438720531, 290197336, 474530415, 737942224, 597568975, 870904524, 507667504, 144116508, 238581339, 709628106, 361077135, 218375510, 990008569, 302542060, 954910460, 434734411, 988861394, 827841299, 753323071, 677753895, 384890391, 970249243, 5684819, 708639748, 337604621, 125925772, 396670209, 449015229, 132038103, 947309122, 744990831, 64637697, 598832879, 989374093, 20413771, 604756376, 384773853, 386810965, 671114203, 634961462, 925857820, 705282643, 367295840, 145048421, 922701027, 773769150, 782971635, 394815901, 989225040, 433751793, 569908864, 538455747, 193148691, 927572728, 957743304, 108240065, 557297364, 360043940, 249106095, 642362712, 214312667, 191487936, 38547548, 360282552, 17429904, 310057773, 605860315, 726410925, 695098802, 616775376, 543232182, 377137399, 141226165, 53260744, 780338309, 578842027, 713326978, 77467968, 960283102, 876528311, 441552188, 741525263, 769981392, 889301557, 812228436, 690823698, 282610301, 254694533, 782885110, 388383827, 309471821, 99753629, 284247671, 494463472, 224883599, 802500841, 887938160, 490928788, 499969063, 190236327, 596161321, 417001798, 142815922, 199300343, 586735204, 870638977, 970706279, 887457098, 111295247, 607983706, 291753137, 944817366, 773720300, 874265397, 103225335, 128827561, 400185926, 866960681, 44854643, 211403946, 807234475, 873716485, 477614456, 264899306, 440517955, 48261538, 589417879, 800553288, 831181592, 367165316, 29623233, 406643420, 669231402, 405149396, 652412997, 585769236, 752757523, 360882866, 845555393, 186870187, 280271358, 397698736, 128266231, 586244705, 325048709, 957490036, 122290529, 450522778, 896021616, 275148968, 685886191, 505704380, 632326401, 252493045, 945058381, 413983162, 471961021, 357644870, 498938314, 910493505, 886575651, 564352957, 234898223, 409310563, 818932703, 282785851, 922365628, 737463988, 303161415, 994451345, 701615247, 219467063, 437452354, 719199569, 362864980, 412183023, 596851534, 677895891, 226651995, 789764509, 99841359, 475282377, 715041439, 101858926, 451723557, 492845000, 2166975, 813278644, 693973776, 521258661, 979428849, 934799725, 916892106, 851988654, 167492310, 569646609, 868960030, 41739645, 357973448, 295853823, 140714904, 194119932, 337048597, 702603568, 847346661, 190601064, 895948384, 224754313, 418518109, 981323382, 294133830, 823055632, 397991890, 473378307, 141285948, 662992452, 776754892, 491509130, 305737653, 194880251, 121002434, 522628237, 153352241, 720358249, 997079372, 254823732, 650841617, 99254067, 459373534, 772873472, 133016237, 219850174, 578290976, 492649613, 326644546, 962777530, 67243532, 85986572, 87432079, 726596102, 785075685, 458522359, 514131633, 375719348, 314487505, 707919398, 27580423, 737831494, 326487232, 525522642, 330489361, 908216916, 469829244, 481168589, 705523539, 256955957, 309656987, 545627025, 272688538, 752133894, 950370264, 45274638, 451098207, 231840706, 306491635, 231113409, 662935757, 640416520, 237535951, 174785989, 758206336, 347644252, 679446179, 264929886, 642501607, 481506808, 23628327, 291058712, 965651629, 381486673, 537097824, 653853466, 451198902, 230377753, 668301496, 484356968, 792015416, 111012448, 408169278, 63596556, 107102101, 627592637, 255924270, 511224702, 782691457, 695259502, 570538058, 732283482, 376559037, 439100794, 244754188, 366143769, 273609987, 808720975, 546582334, 171726757, 938391125, 510178963, 633535554, 112063058, 747936247, 842498857, 317974426, 510561752, 602927847, 101710097, 98103696, 896871344, 626853136, 126861317, 260231362, 447838536, 159020861, 913919612, 987123586, 635289087, 295129770, 305075231, 26034737, 720721231, 599981870, 221055431, 979274326, 79333886, 869096114, 64033632, 672899128, 599528099, 340536125, 689804090, 460497644, 735875311, 576947850, 943540289, 752972354, 236827714, 218216776, 244219430, 705902770, 571093803, 938062929, 382707828, 820036499, 92782111, 497537599, 894225719, 303397587, 558605160, 369869866, 765610672, 443709139, 857158018, 947508188, 291686865, 467030699, 31015130, 794279782, 405061695, 480931716, 297701664, 163692644, 342985892, 300296577, 848125193, 654382843, 808441574, 136289184, 610873916, 230813514, 785289089, 744103329, 885736185, 28725594, 452032754, 848604758, 102073606, 70721971, 19915687, 687136575, 342804379, 42543961, 31286285, 223555178, 420747102, 379786045, 920855836, 313202611, 18377964, 73684697, 356929887, 372468589, 406254831, 454869336, 338069504, 839453092, 154374131, 382595668, 615277528, 449200167, 172179251, 932394564, 486737149, 910995648, 760406051, 317613840, 378756404, 879091127, 471459472, 748085312, 643842048, 523306433, 176188907, 650354849, 558328308, 737466983, 791329084, 204695618, 104505729, 403184523, 903389597, 648730985, 887060191, 432332860, 558280435, 69016767, 585454077, 724802053, 82251088, 45176456, 116675008, 571452786, 799486636, 606786982, 693218173, 440841410, 316674092, 559993008, 41949608, 674400728, 576134381, 404055, 948208242, 708003350, 733379843, 144527083, 888027410, 36573046, 921658007, 337334541, 704716332, 712934801, 2522857, 523664660, 90014517, 268020981, 104525049, 893929243, 275187217, 742868157, 607907918, 637418360, 384163361, 317845440, 602252030, 459836554, 854416392, 851359783, 823238506, 549419303, 853269269, 149040665, 639799639, 105424291, 793340468, 282070837, 572988240, 206921319, 154715583, 497347343, 999519643, 900382675, 311851245, 245450255, 292151001, 351679806, 799603146, 628787348, 709419854, 533389507, 802467313, 504470345, 913870765, 647938342, 45169572, 895849819, 674715257, 290710924, 325258085, 419963892, 897159023, 10990781, 82876539, 339382711, 818856883, 429953787, 169996708, 72080095, 435899831, 741103484, 227356989, 156202729, 17183776, 34979049, 172124953, 340397706, 680204742, 49946617, 8011724, 708845945, 933467452, 301594747, 440212655, 40817878, 632116323, 683301047, 807548900, 864483003, 748489626, 805723851, 656106740, 99752686, 856007981, 755996147, 141830441, 830530808, 624438628, 772907788, 325117489, 389619189, 705284174, 612187903, 584236953, 508007121, 796435536, 705397227, 708594272, 325652721, 662764479, 246032990, 862301868, 301042074, 243158307, 867032762, 450888990, 964791661, 754951159, 277626968, 615687604, 80862322, 245823757, 343602704, 603127999, 630115357, 717417695, 256170944, 123071375, 406490467, 230272589, 232198310, 859698761, 138602054, 783991443, 875267231, 83026773, 270787831, 75774537, 875224130, 373515860, 77222769, 493121215, 847973589, 11209392, 784349637, 767457874, 78833256, 813808043, 561213476, 429116535, 740704613, 408742240, 299997149, 435832160, 49384177, 687243078, 4384091, 438529485, 828095959, 329871776, 607950099, 695544568, 992808469, 251001709, 708236617, 492251900, 442925319, 644358982, 44148031, 247979419, 92484033, 681928931, 680886851, 415912796, 44055720, 833119044, 158747245, 25480472, 469224755, 497240394, 551187804, 273751205, 643077600, 543929101, 623380891, 780030365, 974048774, 928823495, 308448423, 689618012, 621367339, 70637342, 270603778, 392547249, 671685485, 207647401, 21607672, 291069924, 438543253, 797111052, 499539165, 261036675, 250200038, 838071762, 529331969, 972122144, 580033986, 908436991, 797121198, 238163852, 110591097, 121967193, 376116549, 274971006, 391727812, 252651749, 60434757, 185486505, 50860680, 663436575, 41102657, 458105948, 799080781, 382589208, 314091254, 121719478, 628975036, 790768771, 826037713, 876229467, 445292083, 210887206, 356495831, 631293250, 46123180, 609420104, 278475717, 504092265, 727510433, 176355198, 705659826, 802013595, 820197990, 404654358, 642786776, 162184238, 777786288, 905294343, 775672267, 879239397, 373149308, 315734589, 104440724, 701606228, 582270552, 608110397, 173634336, 960255415, 327433118, 370732942, 762722271, 427647859, 569472466, 283807003, 930488838, 559390974, 967663392, 737811157, 539408866, 776459186, 376239893, 551813004, 609345322, 985179427, 907303663, 84166670, 736138237, 889898749, 48903588, 584294251, 885111789, 134578711, 589806123, 864300999, 672111861, 37308795, 264749797, 155553334, 789890106, 206464786, 498824406, 45292882, 543586362, 23111975, 97589842, 671828284, 938782300, 955081193, 340822410, 693885699, 142028179, 920221727, 254968262, 918789436, 739012902, 349521477, 53748016, 591340856, 239340983, 667141767, 429528615, 738297419, 917484744, 531408885, 818776919, 960876273, 396194713, 849702589, 174839824, 744548742, 313861534, 395539227, 609715350, 653206975, 504542977, 283496079, 491969452, 887004486, 105081723, 597144148, 562285567, 480877337, 207117735, 662493644, 649091684, 682121569, 659149336, 175503568, 41013771, 52129876, 52348975, 363812286, 267015946, 681184317, 758879628, 325183387, 227435647, 857471701, 362852366, 161955169, 283617403, 490768186, 967845661, 285971419, 820054818, 503172439, 113698268, 208907799, 810313643, 847456117, 862867730, 37075664, 818157003, 806746852, 175512043, 666730756, 833627386, 904404394, 611248305, 745947057, 85015202, 502214058, 861204689, 485797971, 834782231, 768966580, 609810874, 521080950, 880403609, 384313664, 843387991, 612910822, 533588344, 105825443, 863463124, 765289790, 408785591, 346042897, 12358587, 461183998, 753506697, 887134747, 496348893, 498091137, 571721651, 117701818, 49844886, 325786316, 145227287, 185152998, 444377333, 743387319, 23598812, 184089140, 745582081, 135118766, 154437566, 774611889, 184306226, 726179989, 341936528, 248011673, 221682549, 877462276, 597284376, 478931799, 43369296, 902576186, 611271323, 957563795, 213364790, 53368366, 97174409, 320263551, 260229394, 836680380, 241621445, 217522716, 394501857, 381363812, 283000415, 143737778, 330648288, 654933135, 257305515, 693656634, 917881343, 784413065, 588672967, 905381306, 775407169, 739193188, 322905563, 618964454, 877178564, 621695931, 897858011, 127839387, 482784945, 16572907, 487919072, 777134208, 552619539, 382175892, 19493128, 522767261, 960881694, 967742380, 539028190, 870548520, 598435939, 54351692, 990777000, 437952549, 840796778, 694904142, 216145925, 553071997, 842695799, 97768516, 589094987, 853502363, 100667121, 938606349, 759768539, 387799415, 97214460, 24248698, 790215702, 153996352, 119252649, 612799535, 824420911, 513107973, 725245478, 546892775, 584522909, 92497998, 715783402, 417474019, 353699900, 766825378, 945920282, 632619099, 675471469, 940857695, 230261485, 378528472, 383348566, 305446729, 297386747, 196498616, 608691503, 585723253, 482947574, 525017957, 691080297, 670794190, 858145109, 809279246, 484650754, 591387379, 892477640, 356032981, 866433982, 235328601, 737335130, 219381516, 718682830, 60103923, 889128318, 145973358, 887686949, 704106232, 878622576, 680562966, 79516404, 593254471, 326900718, 189082138, 658639198, 601255862, 608809690, 448800764, 11724012, 837092363, 432437012, 374273318, 688903639, 525804373, 283961805, 843875344, 782400563, 864008783, 301629771, 607454029, 282986136, 45920261, 899546986, 297032154, 6912796, 979167533, 475097465, 937451797, 125713876, 538119832, 873128806, 452588330, 370825489, 149611359, 314756633, 8398491, 254868235, 572775570, 996349238, 569608058, 706318843, 543769463, 850233190, 162350709, 674481942, 759459431, 174462100, 557087410, 58512597, 174296901, 54515225, 71556271, 258734859, 548717131, 381100319, 493977755, 207356410, 81500998, 919509850, 212114777, 913109189, 126278254, 759002256, 275842805, 213320237, 107813161, 506024041, 851933931, 725398313, 704168038, 805668407, 599805192, 351463481, 804510709, 941345439, 790166216, 493731917, 459213772, 391189370, 843376511, 629473754, 841854732, 286761104, 559612250, 212418184, 957758202, 156658017, 268317902, 124163347, 698289395, 436078967, 851879484, 447556999, 83259312, 281933639, 31187891, 235910184, 172690310, 847791196, 691379664, 92800505, 53016921, 29746960, 338443780, 22456268, 421817763, 809478877, 535165823, 487346864, 779321078, 505854227, 349759444, 433616276, 181253312, 803370010, 169153989, 282601956, 141257391, 892158977, 429989619, 825147758, 971553040, 282134473, 453021392, 885037209, 134912014, 692429766, 113410785, 473233928, 464675207, 47534149, 70734482, 737662291, 481124844, 551217445, 616008506, 100122990, 721769405, 691284265, 853772779, 975778472, 214649634, 593818420, 554092464, 210950919, 698997899, 115928686, 160390065, 71596716, 652323235, 513339192, 172958392, 464459299, 185842488, 142177054, 478842331, 110858208, 134647629, 272510105, 556276982, 146085149, 526679189, 235719701, 226847887, 194058178, 746849360, 721898324, 60811440, 40615298, 612443947, 233708202, 213680704, 346288400, 747039320, 319044145, 604332110, 732021534, 861550211, 462472984, 543828202, 278247713, 621501754, 278090641, 685390911, 800473795, 830144128, 721821478, 494313462, 391976390, 7173523, 110824724, 948590544, 324212058, 387626925, 861391644, 754081804, 345419736, 162289342, 86109943, 258164023, 996354442, 199276435, 862338377, 524616182, 599218991, 88938028, 743517149, 672866298, 270272014, 326471893, 813535241, 934142546, 297697304, 409689507, 937017538, 569737856, 355780668, 879902397, 765660723, 348383864, 516463855, 247914318, 333844480, 269729178, 564675546, 627631600, 133791894, 60755664, 611697056, 290133135, 573445125, 589946443, 872673521, 219916579, 456854681, 789039330, 429092439, 646434057, 668518001, 10937245, 160405731, 180012470, 598619325, 519581691, 363523769, 158109056, 207494427, 985665834, 834243623, 983202443, 808338842, 598913887, 976431821, 885255663, 108691957, 980828211, 74185735, 848795170, 565924072, 629648361, 70783224, 674110258, 74358952, 152233492, 179170933, 808400529, 578025834, 943260480, 579442288, 351330544, 425311539, 179808968, 896771630, 762254134, 495737215, 398492531, 499477743, 525513910, 810516833, 737171599, 74752115, 842623089, 307885224, 428729611, 545888221, 77407565, 69415259, 557294058, 868551885, 993067860, 896415517, 57972040, 561797372, 200333210, 904190495, 549302048, 119126849, 427629364, 471664697, 497156612, 24296570, 75946211, 849677520, 860810589, 908428168, 525029521, 735625041, 578978267, 811771023, 579917607, 954080424, 412813823, 737680765, 527177891, 914445723, 643388250, 159299791, 679345276, 791997022, 730614808, 485627880, 325502018, 573062178, 672150235, 376304105, 584128985, 917570636, 261546228, 408480084, 46358528, 115117350, 187535659, 715739839, 332078783, 593342800, 252353648, 531097239, 414186668, 891161331, 558373908, 561855611, 845295532, 6316040, 291701316, 901379703, 828582306, 720209545, 79107397, 296088096, 483194275, 180508274, 406952080, 639018830, 733113234, 904228276, 691355328, 673339898, 914527569, 695166827, 3816349, 770694018, 734759094, 163994995, 192337995, 721681280, 483913311, 250856529, 418847552, 212162196, 87237301, 195837122, 328571029, 773433530, 428522240, 616141613, 734316023, 105072750, 680745019, 265871652, 631658452, 686417134, 177682363, 685488967, 531113859, 922995144, 965181673, 608170056, 869024884, 824419652, 392282305, 940686188, 526587485, 235458504, 160933232, 51580412, 35575758, 490303896, 254355096, 525773066, 921048315, 712832360, 334505179, 329620100, 432072335, 383099690, 473847573, 578158208, 469070344, 631393928, 864174709, 906315813, 10788287, 159121436, 371849297, 464341150, 625241053, 563540180, 523243802, 857899935, 100026964, 252847571, 945230609, 120158396, 447042312, 436983733, 950158974, 634513264, 291473157, 243881935, 416064983, 121663128, 736369686, 3769328, 687586243, 525070099, 227811750, 336887800, 262663057, 450912147, 762569664, 688448558, 4628367, 696715116, 349188994, 110007614, 996748738, 743210552, 638017310, 439018035, 497239409, 851871343, 444237036, 501523212, 707242605, 624789503, 834255844, 7126632, 257598434, 246850940, 612162437, 747043433, 448390861, 113539348, 600172262, 625390642, 281631168, 199356398, 642524835, 258019146, 227300853, 984274217, 782006858, 942203118, 579736194, 129984026, 837598262, 404425172, 909031864, 191497961, 827510193, 858455992, 189768090, 742322120, 386641069, 329005621, 420617220, 702790111, 118872101, 406727902, 222088077, 473307130, 55406329, 27691310, 82325313, 157791701, 249943865, 992337343, 863081199, 492886357, 681918016, 911670858, 809263489, 487751862, 534878067, 288067650, 346972149, 175265425, 808196067, 42406932, 695460002, 440056295, 431953962, 38183121, 65190340, 287765315, 30604626, 392675824, 932846531, 399433170, 407322180, 666298966, 32554354, 168641863, 632656270, 159791528, 477666050, 962457243, 759126769, 119939630, 44351372, 210597155, 128494651, 931275808, 121953080, 766076752, 155982247, 907365777, 491198093, 525365194, 916254510, 335054252, 138365367, 937945497, 274596570, 425558746, 347836456, 638307245, 533885578, 972625099, 39685450, 530667808, 911001381, 271052482, 968352361, 598019645, 43642255, 521135435, 707298977, 859993637, 265514260, 847463229, 231925467, 772786586, 623502738, 466408526, 774990036, 129296767, 833968434, 537432659, 102464075, 564823078, 680012123, 779981351, 203723073, 943839262, 519370468, 613992695, 405592179, 116340051, 574863179, 546257975, 63468759, 423652964, 163329819, 753971185, 650731504, 996396173, 939121029, 770222730, 112591318, 713432706, 342859609, 636683328, 842457100, 14021592, 352968369, 932864533, 892766190, 299335490, 702155493, 82841521, 183204872, 440273288, 335901725, 470051453, 948267758, 318616954, 725885801, 76859135, 101628880, 765710033, 684868829, 712449424, 667242817, 94552586, 795766640, 91940227, 54418542, 273931469, 309723452, 375754328, 799170023, 501698542, 315015633, 537801538, 757189963, 853881968, 897017669, 196615295, 534861318, 106389736, 718998581, 611714365, 904041700, 799661019, 966348098, 401292971, 980888482, 175824291, 223479260, 962118327, 392203957, 127417118, 288418232, 546401622, 996868301, 562300226, 991402546, 742009768, 36767249, 821612983, 265739884, 384696154, 48891940, 455962226, 443783802, 728867599, 10095249, 507334214, 509801023, 705132618, 236300162, 864028460, 476059183, 848428949, 35982421, 965861402, 878279488, 70596602, 86815460, 238541983, 46961426, 100464921, 976866629, 642506529, 279616350, 998903194, 305244051, 630784654, 867524799, 170526416, 977407347, 749463560, 38084527, 518773580, 460612607, 817786109, 936319767, 673220449, 609221992, 865079470, 171433892, 669191800, 211603867, 663116654, 999273639, 929672093, 131762178, 613401666, 789800358, 401908722, 54255536, 34560471, 119263689, 425874436, 945081261, 35873952, 909941608, 347228688, 230612028, 638076120, 515295819, 327409888, 736437763, 549098880, 445747192, 418807447, 257794257, 878523094, 541287191, 967352308, 255283358, 358801617, 522151781, 565274623, 290902875, 372709602, 493298875, 109385233, 952913731, 603831637, 670380995, 806800607, 68571489, 780770785, 726329432, 516401002, 165849277, 233391426, 292840490, 381311395, 353369564, 675521631, 599616297, 736689682, 365519267, 898799691, 760250760, 795851446, 833871245, 752277787, 959186820, 775860367, 475752568, 302459576, 117045483, 416102140, 824591904, 867775236, 52956427, 373884037, 423242200, 567321419, 313328000, 934580930, 654867007, 436632476, 92021094, 164642298, 102014581, 933203769, 754429367, 372544102, 466696789, 702291404, 155863081, 836886447, 644106600, 333633272, 761598659, 720050467, 550244460, 216885869, 624578872, 343263773, 168854767, 772260600, 597504336, 403080340, 459368466, 461901929, 794572037, 983664865, 4057379, 989966079, 254261077, 82690265, 563001546, 28911735, 199144539, 40869398, 981004148, 446682628, 724413502, 352958680, 744784922, 454043969, 191599319, 175768726, 765264539, 3925237, 615634561, 193424375, 771935061, 711892240, 939792186, 243813944, 527931236, 657285341, 932333263, 314742552, 578521227, 352974173, 18085082, 233802439, 518708161, 979646476, 530290526, 83041982, 833192602, 137576951, 935136871, 873372417, 551159602, 122463484, 4341497, 996303693, 372572415, 656004490, 119537687, 41641065, 350292260, 493115049, 361511341, 765412789, 911050708, 264839251, 690587174, 103565736, 968380703, 331428429, 174991259, 949310699, 932753337, 605669478, 594219539, 319260426, 740255418, 81950411, 890824304, 113386023, 576529450, 489047925, 691489322, 863987909, 707723378, 27112281, 628814540, 104842599, 500526791, 307309053, 922123657, 810636226, 229061119, 526746442, 415478649, 80239290, 863923379, 194457923, 217517579, 619061424, 868634092, 577626927, 45265084, 794267698, 502287183, 176733243, 502438758, 159516694, 548608509, 196788244, 415897541, 708433212, 162018527, 464819957, 174098056, 955301889, 935664650, 199746973, 769963647, 525502545, 398668584, 9218509, 971535488, 99584261, 256746459, 508305833, 438750502, 603948309, 919807388, 128912291, 498288687, 968342968, 121035762, 745286926, 710935477, 79679422, 524293774, 123729832, 422697631, 261276848, 253841041, 309135623, 452919499, 41811494, 233219624, 20223165, 629006202, 745583557, 884368054, 291918081, 601814462, 460803541, 978441030, 170503193, 295351330, 422635781, 260494030, 417525062, 60536903, 371299284, 340480496, 781466813, 76510776, 46546742, 733733670, 262087025, 349847603, 590423206, 414545176, 890745434, 527411748, 337041644, 898262451, 495130089, 359121069, 353015554, 296493571, 230557031, 449034758, 648215754, 204156957, 264311014, 296334123, 847585896, 629171037, 358034349, 203821851, 482016470, 194381078, 493403776, 125554173, 46390993, 512628804, 228256397, 607004923, 80226066, 221278746, 750748668, 85924285, 283377316, 37473446, 327817747, 106674531, 135077686, 63217376, 239891855, 823356139, 347600299, 369126735, 975209004, 171433685, 319517514, 923486442, 767064477, 718291992, 454233021, 636164746, 345177170, 815435047, 731494040, 843694769, 640106843, 41591141, 983924130, 447662779, 27092306, 67169282, 265760011, 835798179, 743041835, 611637272, 887016696, 641405148, 35675823, 237744407, 745074730, 200463973, 833581229, 355728542, 39123526, 149028641, 234875319, 387173352, 895749604, 814788523, 210355037, 363947989, 443761360, 472370666, 478564141, 730384361, 647356637, 989903326, 582094538, 498649877, 71875237, 782901929, 733383197, 530275334, 775835115, 311515935, 245093653, 842035022, 204239763, 22174473, 566834824, 844939493, 605035353, 537761315, 778659614, 537743220, 390063554, 944670870, 878565892, 99687812, 927863435, 752816451, 452823621, 915038714, 446512533, 842310454, 903096919, 466425477, 250047936, 688456200, 532347039, 652660436, 603941862, 812722475, 549727771, 15786745, 272127664, 979370792, 682891972, 728105840, 854125001, 600129051, 10331715, 59409923, 581429288, 583611725, 371748517, 568553927, 908487984, 355324523, 68072551, 299195705, 380879615, 679315317, 883627137, 89553953, 599384066, 776575181, 370513333, 505107996, 20572507, 396093717, 613166162, 905031008, 315625874, 899734776, 454418845, 58321121, 602211995, 766923736, 758492467, 368044209, 268718515, 307360163, 192143484, 440675214, 467852455, 960094046, 351890143, 507040312, 303892592, 642468909, 142724388, 779263327, 269813598, 203864842, 443259033, 719928829, 13070916, 887803280, 648738928, 38442351, 18056085, 764507855, 454941657, 96811258, 898079213, 313473354, 960991979, 419250202, 585542821, 586881150, 958985189, 394191870, 149438499, 772006898, 427370268, 345149571, 870643900, 930332589, 756891947, 28754927, 621135895, 484508477, 541327780, 519580603, 499914409, 610274982, 950030942, 602536822, 706440685, 426090942, 540497362, 531869112, 996069874, 425960553, 281740021, 83899295, 247815322, 946921608, 97687138, 386780143, 118160523, 529125516, 908160725, 348588266, 676490661, 511431867, 303305348, 382356143, 483470661, 895681368, 123080045, 351918674, 684011347, 505847104, 697153811, 225602918, 240470423, 476046247, 153492705, 296387589, 404097720, 292121792, 977170833, 526660637, 765201409, 654554711, 138249835, 423578070, 514731049, 431047176, 704734380, 187558851, 370287949, 491750490, 411644500, 490129719, 925859723, 271063943, 709424567, 866970026, 711217242, 371158443, 237795603, 730524316, 906031427, 163106605, 464466243, 256440722, 196886769, 629532448, 504293455, 165248371, 856149194, 584390319, 736127201, 350761782, 473042740, 913280883, 210578495, 991425615, 187676304, 525233913, 646656085, 468156220, 376445566, 112932796, 748497917, 379974251, 937076985, 4909653, 488227465, 861647274, 929670095, 990652178, 86856787, 670081706, 229112668, 517041026, 339607981, 622604955, 254841916, 198378661, 958630846, 492411426, 550996027, 231154955, 587066293, 172908103, 875132441, 557888164, 906106935, 845758800, 404111692, 289637106, 300101932, 947019926, 135390204, 436256302, 658033357, 942491646, 712555021, 532242765, 884985685, 875174960, 758825030, 628441476, 925241405, 613786864, 122628256, 610761646, 664430542, 439971509, 392482598, 144951317, 571374301, 314573796, 579931864, 851789455, 411634616, 908982533, 461200419, 240643835, 808903357, 837787827, 539853611, 42616001, 353988703, 283499217, 918626521, 126728980, 769292482, 786911002, 93828073, 403281233, 718442793, 692156526, 237941648, 138093772, 460749549, 567213650, 496536933, 324658137, 864444015, 209165697, 571892881, 187865917, 371452938, 547233437, 493686688, 154238910, 918918592, 735947319, 245785118, 640259933, 79363770, 709530353, 989827623, 464519247, 943242857, 835442140, 81453145, 441102770, 94699523, 303346450, 242274604, 759385008, 904910085, 872540679, 552453620, 286702537, 941611597, 75060412, 265995329, 266227753, 158374793, 269048152, 489974795, 513575009, 999713968, 490336385, 876123465, 579632558, 83323967, 203559439, 184217297, 641710810, 878387641, 543202786, 455913687, 301318527, 968166193, 300382113, 333762290, 906201380, 456250921, 603509149, 791465289, 918456404, 766985092, 294139690, 599088715, 577573713, 514527630, 656664860, 956190436, 208569033, 942715845, 200706399, 722445973, 923585583, 368645890, 803063028, 111967099, 75695510, 889255487, 168514512, 383866556, 155471769, 237670055, 165318783, 688524379, 204519362, 222908245, 971948400, 373727407, 673308319, 134604770, 823224812, 161822869, 200663478, 105316173, 171870471, 852045416, 884258310, 266593738, 226725818, 743709552, 631774544, 921562720, 538231753, 768962330, 207496912, 373077754, 880228867, 873050330, 466433961, 438553245, 915841866, 760552962, 225281074, 27529020, 693312850, 839109679, 958350342, 342487233, 548088560, 610954913, 359520741, 87075868, 570831510, 340574184, 856276264, 746866729, 67933913, 497739002, 26335037, 506016657, 548380973, 471437599, 908631907, 175742945, 280255865, 785941865, 327621547, 667603184, 87452398, 214409986, 484637179, 505606777, 727410232, 636294309, 634157847, 617886388, 784277442, 85466339, 622372471, 603272619, 798410605, 989975983, 360754011, 347407408, 873569660, 43634003, 345404360, 604268245, 76702331, 700733022, 150541702, 203513139, 970632124, 351592609, 290900536, 349718430, 880311251, 872916816, 816335848, 668930997, 763988493, 871107171, 563064741, 517166814, 661039857, 119171380, 265480037, 378625288, 638866540, 184207684, 573346540, 546671655, 56031535, 514043381, 840941612, 892438260, 755622598, 182139956, 783306183, 492284061, 63274319, 7926962, 809231560, 801334235, 488947670, 450278218, 978722699, 922671516, 984745152, 514026765, 181012354, 225410175, 732818274, 69722472, 828295833, 634286590, 65872778, 873369673, 48129716, 104908707, 840578058, 169548563, 492731162, 45141742, 212797839, 249037453, 841494862, 734323085, 388947744, 926247227, 672230083, 202253312, 734512334, 937839148, 44998267, 967918328, 559897216, 997177046, 843623712, 399070130, 599433687, 826381085, 336608287, 629036902, 31099415, 933513378, 4934745, 790571729, 894115248, 677697394, 427808533, 516959296, 233397560, 278949672, 138215745, 133224401, 339557464, 392851981, 958545895, 188127147, 883823816, 229863256, 23053409, 714437179, 330021152, 712380201, 287968403, 814912800, 386802800, 897491745, 660077647, 951663377, 879571817, 439781095, 921210178, 886119612, 67164456, 784011224, 212766174, 37201767, 537563014, 440204513, 986053838, 266379086, 867431146, 460798750, 350539260, 570044678, 528864368, 191756566, 630191530, 340752075, 252622474, 272078954, 237254537, 612324001, 225048548, 96977464, 210580168, 515005199, 431228832, 91923590, 971589655, 706427483, 722659013, 453836675, 412376649, 445524448, 972290945, 327567124, 990097132, 37691263, 100401635, 936512, 636715025, 250671703, 454832179, 102252214, 495009359, 262527606, 686127808, 806945143, 918281428, 1937382, 217673237, 695892254, 22644504, 336304466, 112128314, 728563748, 26135337, 138614967, 563519808, 631776298, 360925592, 424696571, 817761203, 46630863, 155149446, 245206972, 20950501, 89489060, 702380621, 847616536, 229039039, 800550766, 78883343, 792038578, 973953566, 440233285, 692143966, 383258972, 433511746, 395440755, 614642547, 643363425, 725085226, 198670356, 902937414, 59026491, 607011128, 482232497, 269972303, 70396363, 591704886, 21148294, 22298632, 848503446, 925818257, 118195236, 685415597, 86405832, 614748586, 332890885, 113252253, 923809363, 435867370, 856670932, 644304096, 136421262, 102952008, 727731544, 368072995, 387323524, 278365288, 600373243, 159935401, 845077073, 408449083, 541726886, 562242409, 199132305, 455811323, 25301183, 741157721, 678896684, 762751791, 581888883, 795479019, 441530627, 201583834, 73429213, 631784532, 284747476, 907867960, 975473785, 674248957, 594621978, 710664221, 871301114, 618294828, 823602214, 896759037, 455548845, 127296308, 564446903, 425337669, 678243336, 237252642, 140082609, 54139153, 546568938, 862658423, 692954268, 586106678, 347089342, 684119481, 882293096, 727622415, 584225511, 837872151, 927812401, 891020394, 459098313, 524229988, 400618593, 144233708, 126665186, 363617713, 714757815, 234359306, 90483192, 35696734, 748412828, 976610672, 920023435, 334790411, 415613634, 157769988, 801962517, 342275829, 775080169, 141978694, 347443114, 496900560, 404302005, 402702646, 343813894, 387209951, 228924156, 86075543, 906861978, 876974887, 469502628, 340179167, 154015765, 229157248, 521977653, 875389899, 831090087, 239030902, 258473485, 587239921, 334458327, 223893230, 97450404, 56998536, 764507851, 860064895, 834148940, 165676687, 301660165, 457546086, 53832583, 483941609, 459130099, 750333246, 949324772, 629360906, 884290308, 40405607, 868914170, 905159240, 804155778, 176128048, 383352783, 562393403, 121624317, 437718967, 95844153, 326500952, 651919745, 121327219, 884634167, 413839324, 302678474, 635755824, 922535625, 397520240, 423569913, 809083146, 916931293, 223671042, 2794666, 397755994, 409982219, 259104695, 37760881, 587011035, 145232683, 51604967, 414047939, 49542484, 313082584, 905333331, 884527093, 131031450, 928697422, 591308967, 827004998, 400057520, 43890898, 376902173, 301771275, 529224486, 695228203, 897721803, 898696058, 644890253, 497317092, 345730700, 454564480, 281742474, 894500055, 92175688, 43045005, 662881108, 508640736, 425205834, 90452847, 74616279, 877738613, 587899024, 428739640, 215350779, 635264513, 173775820, 500378634, 542058542, 228168117, 643034785, 892880631, 496078095, 914164796, 546195608, 651878884, 648464723, 782956563, 676768581, 881479866, 164176703, 923044456, 71948078, 448759692, 844253965, 479054454, 474753258, 850058609, 24095156, 202596846, 957576989, 347226699, 346930691, 599649689, 920132705, 109781658, 40769138, 551160772, 820516839, 437063445, 808349729, 402696401, 730630132, 487661126, 231124935, 446348675, 142082403, 730588311, 475029523, 833398491, 99590595, 979378615, 645768777, 646557073, 900367743, 315090817, 845582723, 517748882, 281730889, 641806300, 983547271, 109829654, 699123544, 815225780, 720042682, 405125323, 596324522, 279499534, 667442300, 107332738, 117010288, 536656135, 682270372, 34714294, 15742184, 876395419, 142010477, 38560363, 387042106, 926796126, 94593624, 570446864, 623955457, 202120514, 126330987, 156757609, 103806189, 354899247, 218660243, 665763216, 78760319, 386445739, 719773885, 43793660, 747518209, 450503706, 972821426, 539259066, 681996465, 754771468, 334841423, 567434863, 456320627, 545910245, 584109691, 694096215, 620682995, 232964030, 738544627, 111419497, 17906087, 765004868, 232917506, 830993728, 558021573, 492769428, 863702439, 454066520, 757348476, 199072255, 339192021, 718136422, 437434207, 918245104, 405788820, 394301058, 307939839, 191730197, 625294713, 933474132, 421750618, 424620957, 338532255, 193804647, 843036624, 573038740, 901675969, 989224916, 233216035, 53438174, 221059372, 541921148, 503920213, 471125637, 941962632, 705247663, 875854223, 513504807, 767781266, 876613442, 772908801, 135351830, 291849992, 954992564, 723576619, 709831262, 259739509, 546879126, 397241756, 207788674, 834729661, 269076168, 593795400, 933289167, 418196570, 597971877, 628384165, 251737696, 788124250, 2335914, 264477564, 222370379, 335071141, 802601388, 867104769, 799030972, 781989467, 208396929, 768867985, 636528999, 727357960, 346945477, 194701687, 394560219, 484201767, 804853772, 492666546, 204365868, 592213147, 356026062, 394301059, 733623693, 722229719, 974946426, 494005262, 368846711, 547047810, 879104872, 523996169, 106500022, 303914597, 522424651, 508719380, 762412219, 564392489, 721800195, 907297204, 695285600, 374191002, 902713892, 512611751, 49675175, 306705382, 252032090, 684724536, 677716117, 294025346, 997967009, 30234313, 382293882, 826323950, 988528049, 625041847, 53895882, 175104222, 133514554, 526997743, 524755768, 722169337, 37207707, 937626844, 456099622, 770216424, 284876396, 670644090, 634900580, 584552344, 451665824, 368398947, 740074413, 413343590, 526968585, 450318381, 277139380, 20941984, 770816362, 255343869, 373165782, 145818863, 275104646, 428606131, 795721881, 586733817, 553053855, 968270805, 756357406, 222591940, 26828780, 967161859, 742206025, 888148994, 201919302, 254509846, 782091762, 775852971, 617524911, 738387033, 144328247, 310344336, 376249511, 439064374, 365510027, 240779857, 493885253, 338385792, 90885509, 213704418, 562619320, 345059960, 39363953, 337464602, 137736661, 62294997, 796338349, 783259487, 268172090, 290734960, 143651321, 291506499, 119930614, 425298874, 405783720, 827397006, 280952798, 365035644, 537840609, 311960932, 938824288, 841547782, 859014334, 761384436, 703197146, 221802491, 377957155, 66091001, 778816542, 919671958, 752073260, 980728796, 598718777, 362565611, 964268049, 876951153, 688235140, 302875359, 121267261, 103640614, 324005035, 880662808, 696756323, 975840643, 681498581, 718557961, 235742343, 17836141, 530417653, 48023601, 573004009, 182996295, 676654268, 938998913, 853271609, 240328543, 154068467, 625325511, 982037638, 528407320, 794644800, 932133309, 818251209, 922570652, 110122252, 506729464, 422418736, 887075016, 541789378, 19598471, 28360264, 709482803, 746686321, 892286685, 696173058, 500027068, 950457256, 587589132, 681444394, 404526178, 719010178, 984311833, 642038848, 101706727, 525973741, 632787463, 944979537, 178196185, 572131630, 863073323, 738251877, 115457634, 55035144, 105635409, 633812981, 656649089, 15936499, 11764072, 812418475, 981306642, 127142534, 665847441, 919675024, 688816819, 683099687, 432479604, 322494186, 225519854, 67031268, 917579847, 37125386, 101332221, 397665918, 909446297, 755406689, 681879361, 245934828, 634684099, 718610527, 561914191, 932093150, 18252049, 450053499, 878075419, 736573702, 533681523, 88186267, 934301659, 782777655, 886082942, 318556859, 725255679, 559021758, 44254996, 443968864, 675378593, 119447476, 21778450, 291854800, 882426567, 64731038, 375988624, 888352300, 871509704, 133846522, 146970922, 634663994, 822806115, 158227124, 375187455, 984859529, 774463145, 588537622, 526454312, 950248876, 227531909, 816263788, 827840468, 264432596, 429123826, 224415281, 838920005, 299288453, 429522787, 130794148, 953593532, 559551852, 55504780, 260286399, 59695547, 958332469, 543475979, 619470908, 837122160, 432665505, 456330220, 3993715, 624013139, 921429973, 51941239, 805297163, 927463953, 98110645, 280038537, 43664565, 461653845, 543300141, 535644895, 920949048, 503023840, 53889871, 697771441, 506746123, 657516508, 367443102, 360288383, 113581120, 570458998, 341916474, 539998638, 951965255, 846205799, 513162712, 960786918, 1403718, 373625420, 537150204, 111953309, 429163815, 276846758, 341840341, 172741054, 161961803, 61499338, 559615058, 314125942, 969107135, 351351396, 553010481, 778222437, 936929235, 566995818, 427594028, 169947163, 141980999, 872033571, 597607478, 196238449, 816878194, 117884101, 608223089, 771070624, 926273280, 347851497, 31606965, 481687037, 628154135, 154581106, 458551971, 574450600, 542158409, 813656444, 619470733, 624828617, 274549618, 455065242, 571417540, 756752086, 975910662, 621143958, 935287245, 977888139, 680735467, 323187071, 773962868, 133170808, 292443269, 165920123, 314820551, 526721682, 490561586, 520207019, 667753385, 678032735, 596898214, 679881912, 870065454, 446203249, 42705698, 898997407, 206214847, 111091594, 655186413, 281007908, 437535178, 826093615, 52997574, 44753042, 269524530, 96831467, 926656379, 959875347, 444704887, 619955520, 762123407, 687606069, 301661627, 798550580, 206199633, 879519311, 975551740, 345925943, 378011151, 960631807, 729061636, 786870405, 730285790, 330266753, 546651459, 206271894, 781844774, 326229517, 894446699, 325275959, 847402202, 221423494, 821124326, 944018947, 904667253, 908009565, 669396625, 63718657, 975087820, 574112412, 962912827, 70440558, 644829217, 460548471, 193209974, 948558255, 721635220, 97274013, 975075433, 608971439, 435196126, 888753099, 541563251, 969093351, 282374456, 204746408, 842005405, 116795232, 20728703, 456840653, 522456381, 406362678, 885578300, 41364683, 320079166, 733875620, 806517175, 190002189, 562996823, 764198564, 740627659, 725571110, 992623962, 192364969, 278218030, 59010330, 943960310, 512629039, 523078483, 56668074, 58483753, 101624464, 507757720, 847039159, 31629425, 746497240, 774106000, 555615961, 955513388, 453532928, 293122993, 277206415, 493598825, 368637474, 231922950, 675055480, 579136062, 370489035, 41252706, 450128966, 953246486, 732683653, 314292831, 988546792, 596553883, 254601372, 981380413, 571542903, 851463642, 32588950, 422610867, 28900343, 192069687, 303938463, 831602207, 539658790, 353305377, 473853215, 913985564, 152380552, 308130873, 25307299, 693998345, 366464099, 391695752, 532557572, 138713648, 556152737, 790656973, 710109186, 364206053, 674664849, 822085163, 382676409, 620595709, 354861218, 694864931, 280550408, 847900532, 132213121, 745258609, 350385438, 519316917, 11207901, 38665677, 553023093, 980560883, 635096069, 32652272, 549077206, 644370442, 973749829, 630676841, 397353578, 452826387, 750803558, 178315979, 731116338, 969079800, 760809597, 162631423, 272998632, 351723328, 554435729, 380201621, 580246504, 265069862, 237464448, 767698644, 991809432, 986810904, 705889622, 676138971, 770453089, 878494727, 285526528, 879134073, 26844358, 502906871, 227958094, 599530430, 342729222, 1331210, 785978522, 725397184, 729377907, 62870078, 937824146, 42177836, 548132593, 342281685, 619025827, 243601145, 560672769, 163318959, 202526914, 744882865, 412687510, 679597089, 138071491, 300486552, 717060274, 527903140, 683505309, 875152429, 135349404, 980359751, 10764836, 302530764, 274424746, 358042616, 7293391, 163499866, 203507096, 893560302, 952807544, 138736629, 307249060, 460324047, 85297672, 614373042, 766424692, 300939999, 931252605, 151424387, 721749125, 150107678, 561558039, 94383397, 376066659, 290740002, 375309819, 719495852, 64430097, 976164716, 192040469, 380268252, 217496060, 602853755, 411456413, 424656659, 980866341, 450088564, 177080510, 39913537, 747905845, 414597906, 431001830, 250894405, 762407990, 658392023, 262748159, 187028280, 862872761, 154713341, 178868356, 447279610, 437015346, 575585668, 616888469, 378849188, 972151645, 814854290, 863361925, 884834938, 619058476, 874175566, 316359697, 189340701, 79429848, 628710918, 942687912, 959026995, 236155325, 32261839, 70351732, 275236179, 200130268, 608452639, 48140540, 955177646, 594714241, 828778590, 143395881, 630497932, 38034605, 671710954, 591161145, 620196814, 312407522, 135112729, 387887703, 917017720, 325522148, 876489808, 892065727, 31931663, 500115556, 671689192, 757949402, 635320799, 818434240, 338554270, 136445494, 529300820, 493636264, 194571197, 77574346, 852667500, 463745852, 596610104, 359689795, 685103173, 425629062, 842294993, 213404120, 363998377, 367110603, 376787982, 128951841, 221555919, 823925525, 652505270, 311526634, 53439800, 918930317, 679622561, 160457634, 313131314, 104929658, 203048410, 350416130, 291389832, 39314958, 357843861, 32475101, 40760805, 9114052, 989629343, 331292260, 596245605, 885684945, 856323273, 68888479, 786044261, 577132694, 175492809, 9190415, 482209332, 768039876, 510690393, 177395593, 153271046, 203850294, 442038972, 549059995, 325971958, 33221652, 72002094, 412827029, 110571958, 611116511, 238937824, 125000537, 837439677, 510064091, 849609686, 805532487, 493598111, 738264553, 854650429, 806187252, 194171996, 162355734, 983731200, 348139876, 296439424, 54691845, 639286972, 773617997, 617451677, 501364298, 239206148, 526672487, 913741564, 13661078, 448669564, 265590526, 209532980, 724468535, 623550305, 11456371, 166595170, 916498573, 612259237, 226085256, 846326284, 492308761, 145670232, 942833361, 784931315, 805146468, 982177258, 458580572, 844087713, 215705970, 329874481, 317393683, 569117494, 292774450, 504905400, 489034651, 870438461, 341233178, 756776259, 890714239, 635798174, 293943166, 445108862, 639271101, 259129509, 811971984, 410854247, 57558628, 525543198, 895724654, 736974353, 991554719, 131537395, 839041936, 266080741, 323055163, 648292107, 19835942, 471843236, 899129201, 387154054, 430963850, 255614407, 207285686, 525991128, 720880469, 5755070, 832320767, 442130168, 869265201, 989526893, 145681832, 398425167, 657523205, 90468986, 584770244, 200566804, 444218837, 117440460, 764741195, 923571355, 859106784, 550797060, 537569840, 763957570, 798785661, 875557531, 523057936, 767892022, 12510667, 235737205, 317790836, 961897387, 385903487, 665443383, 928840881, 693698995, 682597699, 332093071, 69424227, 790937271, 545830751, 740062508, 767219273, 859254406, 380776773, 444356230, 212606924, 630650416, 653615410, 795481104, 216245689, 969083417, 236557419, 787823275, 455266847, 518638494, 237879276, 582183748, 323813566, 829556308, 185432622, 391749307, 8494490, 807947065, 312003091, 191504753, 886256525, 841449737, 271015340, 882766982, 6016832, 750461297, 21075006, 330677506, 769126951, 982208810, 645876853, 551666298, 56617834, 709725139, 300323861, 741753725, 565539537, 660007432, 326069037, 37406902, 572264048, 72457260, 517135655, 549420464, 959565146, 250764349, 437633677, 449719675, 992955715, 968493444, 771783168, 471273173, 596987836, 234394459, 955233047, 294933140, 650240681, 490974386, 936256865, 40639542, 745838573, 696924259, 509709455, 747907476, 901701693, 25190909, 769742531, 341526885, 641353551, 915002418, 664866205, 541571435, 372334404, 800343824, 806350977, 235463427, 883246636, 959089569, 510531193, 661557615, 195505493, 510815654, 6931602, 382229828, 828359070, 410028929, 449400336, 754132846, 794275389, 62208513, 378748331, 442332539, 83382752, 770642560, 636326372, 57151321, 748816715, 458215020, 277869413, 949729754, 701934019, 673931114, 801055665, 816717809, 920715471, 975696806, 162453901, 826359837, 950538006, 93396432, 129024383, 228429347, 285530655, 512822878, 626295117, 874468415, 556306598, 523730653, 632381055, 471596721, 807821919, 465560209, 625644232, 691263911, 228854930, 486186164, 607980870, 753319057, 926959747, 481723048, 762441505, 917209440, 312838662, 846552557, 209192922, 585569400, 209602178, 640083532, 471719787, 12001475, 595600927, 216850256, 831162544, 638170749, 368010937, 351725728, 220373495, 63396881, 659281384, 826620756, 988682899, 653984385, 236906744, 503850487, 993637358, 640680566, 456866706, 997507472, 299546546, 273045731, 94384440, 362505537, 457372005, 843513037, 715167218, 226550042, 601209048, 951632041, 535063143, 943218653, 525567787, 595571228, 69341515, 709483356, 144255579, 254732918, 247053850, 392590176, 127075455, 931296749, 900678770, 194899005, 531323099, 50307831, 23634310, 465415133, 829154383, 339131156, 300575496, 61162017, 801427742, 344630990, 13557891, 973089209, 101629618, 888750663, 58085587, 116782218, 716181553, 939780727, 649461580, 308389597, 4933099, 299085811, 9564074, 388777525, 132075868, 657627856, 762011191, 190398922, 705164102, 192321813, 581898708, 345810169, 358371737, 332036016, 717564014, 663723752, 821373348, 106277409, 377469631, 654213575, 162162117, 274951884, 269441718, 590787898, 840145087, 885971846, 981175321, 765724574, 962091479, 2926838, 964228116, 697971092, 769795264, 789798141, 337748721, 722101172, 316696131, 287190511, 9657420, 669782911, 298056695, 154898579, 557988367, 457459161, 204394618, 145922351, 85609095, 57270204, 870389433, 144879668, 820343035, 732506250, 718844806, 55889531, 81076946, 406722911, 252035790, 919961902, 601372189, 75792693, 86342765, 547789571, 378077465, 79419696, 685833681, 394099694, 790959774, 295703209, 253796131, 33905460, 931759836, 463913795, 860418500, 947537861, 210646051, 77423826, 396128593, 63595598, 121573738, 104364120, 548861259, 238530871, 438687344, 264140165, 820088402, 952206536, 489220665, 951299503, 249585320, 912272682, 43809245, 348755040, 901784271, 83027637, 599872188, 938097569, 316343587, 10663436, 462989964, 201300935, 831654470, 130561234, 462653233, 594871167, 656489735, 557723944, 356071108, 577664894, 936278815, 434700472, 212590415, 487704781, 926501764, 595745712, 221985048, 709680943, 599508377, 71602008, 821354004, 54137871, 66992083, 856885348, 396797865, 213593436, 7318581, 633589678, 487426685, 977346328, 106767859, 840217505, 3819382, 722913028, 117306121, 9623568, 465888315, 199696802, 582418095, 700809146, 94444910, 85784839, 694420973, 438472155, 190720793, 216113195, 812132654, 410977303, 67132049, 380466500, 651185435, 61535614, 663833479, 383020995, 768111364, 932435842, 634162960, 147788773, 883752425, 891440455, 804045825, 858454359, 801470478, 684837502, 908252695, 557340514, 717883608, 694799281, 869518363, 643272988, 569381614, 366610539, 700623600, 280547313, 184712473, 312195745, 170103548, 86597476, 824245371, 927740837, 88891186, 430723154, 412434106, 860972048, 89367642, 987707294, 819148004, 190506112, 967788421, 180809811, 959878067, 2495558, 794028163, 53231938, 673289386, 142502791, 219462293, 435810100, 579922109, 314040705, 271285339, 357101831, 298910469, 761598806, 477406413, 714416882, 212685498, 798143269, 608813964, 347181212, 50036615, 492005512, 656915369, 994949753, 194319928, 325324864, 123131929, 79362801, 633452640, 569586780, 328807555, 55439112, 756128013, 766312061, 296743114, 187143403, 961210711, 396353587, 894140635, 790359733, 51476334, 986089924, 993387296, 272018898, 684042114, 808408255, 768885670, 476914318, 557037411, 497117004, 994401794, 667766629, 544620503, 705028659, 21850876, 315593519, 38764888, 935518999, 62505126, 148433881, 461176239, 402734365, 123880746, 864161677, 976234724, 331404898, 408941322, 692656988, 193601003, 41231402, 616706722, 458215974, 48781654, 843797673, 331741171, 728814270, 614000399, 181083054, 207685577, 156695349, 620308392, 415749270, 870217429, 517235109, 576118953, 673952869, 728758397, 111678328, 81811103, 707157196, 99730760, 435524581, 364302095, 363830596, 86328278, 746491393, 326362956, 268570487, 473881382, 573144625, 34130654, 241798756, 221661593, 475246372, 784822852, 437797480, 84314389, 433217058, 578999791, 360049769, 678695736, 618427950, 178921363, 831600485, 992685185, 850431218, 326844148, 324378422, 588142463, 385075182, 374361984, 861688495, 338989471, 340300409, 266340440, 200376782, 215854548, 923212486, 447039698, 521543991, 197941775, 723306015, 248035199, 48968472, 353182723, 214526061, 923638638, 270000532, 191765947, 294671668, 815883876, 176667164, 760766010, 201132563, 519619182, 608026474, 632637447, 819887564, 832421049, 608478723, 213858397, 99815688, 596458441, 348003355, 821729361, 403431358, 291995623, 427626035, 111439364, 622568046, 121426529, 204697071, 180654299, 580007845, 78140541, 892333457, 438912170, 844281487, 9569218, 76452938, 952437978, 412465190, 859254583, 904080960, 368045761, 718848389, 686136312, 121085622, 642551652, 177989288, 392997188, 857933904, 78612369, 346474640, 243734658, 256908736, 610242980, 39534363, 985346903, 699118842, 204081148, 52305213, 861204063, 467541940, 606105274, 80143464, 973606614, 261621002, 712036920, 731494073, 312475884, 767114240, 178012715, 531406995, 165480138, 97034107, 894212927, 199334380, 886546003, 697569618, 759359164, 925169314, 785057459, 354443423, 107401290, 463912333, 492540291, 341386658, 300144514, 41073984, 110328927, 876310698, 12530762, 792625971, 3377345, 60376372, 994349223, 790446815, 339814954, 176758533, 233113483, 466290040, 329155198, 159645620, 276206717, 538529399, 453687921, 880444855, 596720783, 400630306, 91614717, 2698100, 276968269, 212555952, 274222418, 554605638, 38917567, 34674526, 877892446, 720205762, 462900957, 250964918, 187203113, 827461746, 203307741, 646872016, 193171356, 212990842, 194381791, 440719117, 633490741, 619274957, 334015810, 485895810, 448924279, 736325457, 619779259, 716876130, 661176747, 940573289, 673519855, 708218056, 37970778, 980082109, 361434683, 567562403, 44563632, 920722999, 623658797, 594542993, 205307277, 741431463, 215207115, 173477543, 889496849, 607677061, 845816492, 284324480, 490248829, 847723799, 853148036, 285534543, 60938848, 976707202, 430127735, 703638250, 409268647, 187152032, 98281134, 272984837, 290434098, 26573434, 574310971, 122248679, 459450009, 154559768, 204607588, 788103938, 187627623, 79944406, 885934071, 959382838, 940122218, 528358235, 228316724, 467092844, 484371158, 4950922, 87838508, 607736080, 10948794, 805754219, 192905155, 793436240, 856998271, 494325045, 873857406, 66378025, 408730227, 189136518, 61493142, 929865721, 924709062, 743826095, 292891888, 805145517, 608448845, 201081812, 410822293, 317680141, 409492553, 888217678, 817416635, 392584648, 265285951, 669933113, 146184809, 796302251, 990079881, 487528828, 634922829, 996457980, 987002037, 332373475, 937191257, 837249583, 292118065, 826732897, 962754365, 273708121, 160204849, 882374686, 619478519, 501291017, 885807650, 35186851, 704007458, 759698792, 937845943, 591955123, 881279695, 732448380, 561301852, 132093927, 912342902, 506290512, 491145499, 614108050, 68626318, 208320892, 493350256, 281264389, 497177563, 360219348, 867045044, 756087413, 733199184, 624606739, 559523432, 270658258, 576794223, 8512397, 891493619, 443840661, 709456857, 262451529, 906025488, 835086971, 466380620, 908543219, 971174960, 828805926, 158396998, 573081832, 762607064, 245536485, 648781260, 221701573, 837223625, 598044595, 628893951, 529198698, 28454686, 836720295, 836628124, 959603692, 582306205, 114764129, 200515729, 756776571, 779857292, 127663976, 190599776, 36469572, 336752272, 411032856, 872264163, 923234662, 659036040, 643857528, 246368093, 18137011, 816512956, 519940543, 279599931, 670786097, 989900993, 582937112, 668246420, 156945432, 60353298, 257355633, 567076580, 928328104, 514239587, 934864954, 798196655, 939236756, 314243232, 238411913, 9287335, 596118744, 748396732, 351026979, 945582044, 710706374, 725609356, 89392976, 158719897, 1719803, 58077915, 269921199, 737852793, 799809615, 146111126, 386627523, 502440911, 484917069, 779027186, 475171165, 574276446, 14420177, 898443122, 565778871, 902794659, 663058127, 981357155, 998484935, 347698453, 396158218, 490011772, 485041657, 872975470, 974663183, 842956850, 378570108, 492204456, 363821193, 815855650, 796858844, 907458902, 78175615, 889623870, 390630408, 727112262, 826117130, 266173806, 665541866, 588113805, 616057664, 432731895, 701912525, 639663835, 242847366, 987831771, 561193457, 700557636, 854934645, 190302811, 943958551, 593635819, 808696176, 691017846, 894209724, 331686985, 761700313, 502027826, 503084945, 611218506, 273842539, 138086485, 475072455, 147768322, 208905080, 424139493, 548312572, 113292786, 934275775, 751997337, 848352959, 82727738, 525076001, 781644640, 811709986, 137074694, 860147050, 135940196, 318064359, 112403588, 395039925, 946136782, 178740872, 990144448, 912031403, 996491461, 852414841, 175096578, 455544189, 892679300, 90028423, 386884146, 551686888, 586054066, 835209094, 309857504, 968112445, 388146850, 658544444, 973038311, 409895236, 510431261, 200753244, 795376580, 634070554, 887877422, 395845053, 125316571, 254112105, 261774283, 198665671, 273259230, 613334230, 374756448, 135132193, 224069552, 457287145, 882407321, 912548733, 320776803, 841827413, 87607810, 247906864, 90060945, 563561653, 370399895, 429776901, 701941272, 591184107, 42242654, 132493494, 623937008, 232848164, 420070816, 826156332, 533892158, 777683866, 937023748, 729327040, 213087697, 579487088, 276626641, 865654665, 831953060, 949939339, 147613666, 402584685, 189908267, 422415770, 537069623, 439248837, 714734960, 924459570, 462569961, 767069690, 496375779, 30983173, 242228375, 637609222, 99414579, 667027794, 996022751, 501271139, 160579950, 474179509, 826536234, 702001658, 754425239, 43530450, 384459162, 417332265, 961106733, 611395100, 758469889, 327478685, 444283296, 828687856, 837106191, 840559285, 762456109, 590754626, 557836673, 236079597, 784853669, 598703855, 573818038, 161509795, 878731108, 203047502, 412457755, 980618319, 648620912, 242752064, 798872539, 68439678, 616531509, 260000359, 209196613, 739766364, 181192032, 861799412, 691331907, 858850117, 819547223, 1150464, 503072638, 961385950, 234470327, 126327052, 811458251, 461907182, 454336128, 194399485, 282859479, 944696443, 827108904, 760747834, 621889337, 826282238, 72173167, 364977054, 404378526, 364248110, 38541217, 752707598, 201297259, 295617150, 200318749, 623021770, 654374411, 401060688, 640659106, 703665912, 23099631, 475593337, 167637597, 354796952, 880881516, 54493414, 871391453, 592035174, 205802088, 369588094, 80609983, 961084515, 402358170, 325639527, 384444135, 402355164, 185265007, 974501033, 748024788, 28348466, 969189465, 737011519, 883277840, 670006494, 854378237, 13595348, 464469788, 326785162, 994951862, 662870853, 798183391, 937457385, 586815286, 256572563, 325381142, 201415253, 808627115, 811335213, 164030385, 74985402, 490691587, 256398830, 297709763, 731018714, 218325505, 515957781, 341129316, 18483616, 506904406, 419634062, 753715202, 278439828, 664414157, 512736228, 904388898, 582163053, 264864284, 202448480, 343435197, 623349965, 139734047, 786675232, 306427434, 115004998, 128815247, 478725100, 726561050, 564876212, 865340235, 256330592, 906938975, 207257099, 909474104, 427725038, 876397589, 461778263, 398272123, 519708990, 820787611, 169591777, 411206678, 830491677, 384832047, 750619726, 84921906, 989580692, 136211437, 944475446, 463577202, 812696165, 365126295, 320148460, 75442925, 320211549, 605994281, 21121370, 18455898, 541907606, 473556068, 818271436, 71392326, 339929728, 209146888, 899531083, 540187946, 164553653, 110563327, 399400884, 929664856, 984801855, 326932244, 407317520, 863233774, 881097195, 547952339, 555476900, 120429515, 930589563, 941207173, 331007092, 682892182, 864487690, 914593391, 380469773, 446403517, 475796453, 140684554, 925969229, 529341059, 133984475, 974499274, 544670559, 717405384, 815624352, 830973477, 153406905, 961617048, 541025477, 682536729, 249398452, 287454500, 915446546, 605701521, 491038151, 977198156, 361453718, 909373408, 627258541, 121942134, 959862407, 221844451, 451702838, 389276718, 454782350, 764209895, 738649481, 317549110, 828065931, 929048218, 247641522, 729417194, 991649535, 230773381, 140341084, 450917085, 312555269, 445150842, 879541685, 907620015, 995211279, 283997856, 553074165, 447928676, 703373344, 761263441, 74556710, 875141401, 170631529, 124702563, 720760139, 873060984, 905856839, 626942643, 328096154, 578565260, 847247395, 40064030, 776948629, 991408394, 131159218, 321789864, 710114948, 745128436, 985090031, 424388426, 887945089, 417485025, 454791575, 500564606, 827187127, 581207589, 367126440, 692209013, 408178531, 894936016, 945998614, 604312759, 788265136, 73501957, 135835043, 279457641, 194912394, 725057256, 990923061, 262809143, 301364168, 906377207, 523454826, 984175409, 249908287, 629779263, 75396703, 256934153, 516947537, 469729236, 552998754, 85178820, 124032170, 302668082, 666225148, 572281347, 689848055, 170408227, 811081317, 135824530, 842477307, 152921565, 273113096, 600221913, 414407528, 721570262, 503595930, 705159982, 869752973, 171416692, 691371308, 812178743, 624326102, 874690508, 600426913, 636927211, 856147295, 825935870, 73228144, 517478151, 819771796, 267042650, 340553411, 175756278, 108785274, 545158226, 126060584, 331208625, 804860822, 862384582, 29715076, 447480380, 489160954, 446055858, 924403529, 414733762, 224535012, 318489280, 688959557, 241000029, 590815791, 97627841, 275623132, 692095564, 936954806, 157825252, 424749232, 937376723, 65064405, 297063734, 513089529, 201978937, 155395404, 597019352, 451288900, 308835371, 785137110, 154537272, 24620718, 604489017, 620018880, 228170582, 262687193, 732820010, 475623308, 913033906, 203605132, 960821337, 255787579, 10324819, 772676424, 151372633, 191613175, 727199129, 851180641, 698102224, 277480386, 795379362, 516011658, 395866303, 214820297, 802230932, 790519922, 41919061, 980060671, 119679994, 764228445, 174144078, 716413604, 209054142, 896831530, 204341498, 421457619, 744750697, 943620883, 99187646, 195977921, 195948876, 757868233, 562041684, 890548077, 733605630, 215650371, 110632204, 140655374, 145866191, 518895193, 459736305, 5929870, 875521827, 346984959, 939473614, 469661700, 511213033, 371211082, 100241111, 425428675, 553402119, 771791394, 621055817, 75915210, 730749612, 682954708, 440164260, 219380166, 224257133, 700177965, 786350904, 252902183, 229506582, 701591093, 260396561, 437980844, 336575059, 778994146, 203670354, 423483327, 376572797, 442557469, 694762130, 680425984, 687246810, 13005729, 712135452, 180417531, 838409874, 845728988, 199235178, 59485630, 307998968, 330570690, 980963434, 912604296, 814143911, 911613969, 800234982, 301288706, 971092076, 957030074, 994674869, 625804951, 449040462, 666128341, 724769778, 171335809, 880630599, 159203076, 888980883, 610317538, 260070264, 940756685, 580393587, 112725065, 166607433, 337176444, 915866806, 941286898, 438446140, 923211262, 473290563, 25878594, 53726486, 423247441, 937022638, 876552170, 737494062, 984339467, 105775429, 73065143, 73420661, 254951229, 386406945, 73040070, 665091333, 214177010, 140429170, 234396864, 383495955, 613561973, 838984843, 409504019, 815517891, 849147413, 662259145, 337904637, 816384562, 325863910, 426019015, 276961187, 990303403, 534560241, 82909948, 392594836, 966339906, 948108675, 163415919, 149939167, 168505784, 147295257, 664315696, 711045969, 962614784, 7620934, 980502662, 496169581, 967042967, 955855276, 241571387, 361589807, 94705725, 731916655, 788350004, 390079877, 804896091, 809261850, 307265441, 593303548, 647100827, 54558400, 317997854, 791028838, 201732727, 450907070, 866554185, 279483418, 788014264, 57823610, 376130992, 208252442, 708564937, 990357966, 288046223, 424832959, 189686605, 815280648, 632141298, 608439751, 262236797, 356814321, 109838100, 620269543, 292281029, 442360584, 723347572, 722048276, 592692246, 175093639, 808220122, 364550114, 597556582, 15749580, 529256512, 187046352, 121362450, 388786701, 979671005, 465697245, 313541667, 806946897, 263095189, 290486403, 166407225, 935160232, 846239735, 41563869, 178010614, 719583817, 544833681, 820855128, 596813480, 704959710, 948970464, 70177618, 511348315, 472238188, 781825253, 484699019, 952680148, 530380815, 784195274, 764174682, 798600043, 592204235, 75434209, 8166141, 279553787, 168628972, 496394971, 527994783, 517543395, 252321046, 70654741, 758024840, 397794498, 118477889, 262790772, 550909888, 460915142, 986420838, 663747166, 191816127, 628796262, 182271625, 105275084, 83062125, 163369005, 595655502, 293026738, 98762035, 238460353, 511446978, 78013361, 121149664, 8624808, 777372166, 937094406, 265154926, 776401982, 505051390, 960470907, 928631876, 482919208, 673057777, 301472925, 353044291, 959448843, 812560663, 419169589, 354268800, 36225700, 183682663, 879233542, 123242291, 342271862, 736094280, 474662938, 886804353, 811514801, 779942955, 936492211, 968011092, 975341777, 533159823, 11028927, 957016887, 364152833, 410120908, 484859671, 248309442, 863679106, 995848376, 474790902, 636567171, 689255752, 70197333, 793206309, 312390730, 438710270, 721807456, 930970811, 340750026, 445169718, 313214919, 672530893, 994447906, 381761552, 978406474, 384426562, 991634751, 523333505, 958039852, 287727146, 536021526, 810550187, 925739515, 694527843, 423750730, 909442920, 36198203, 253146788, 937894034, 242635101, 831967116, 329453632, 745371161, 524915006, 72759092, 693926200, 150259532, 347939158, 231996580, 160477260, 941243793, 380627186, 271955842, 575370896, 987636384, 426629340, 25879733, 320035163, 382972405, 641084022, 521031142, 265572986, 371500459, 686098916, 355059274, 987999867, 238843928, 935805799, 171002473, 378353913, 69554730, 193661460, 121276124, 610209803, 34706888, 909089001, 852307480, 693845268, 737174719, 198369388, 531191200, 509544861, 399304458, 222551477, 482766165, 285540185, 163983640, 685645614, 783581675, 94192008, 555585878, 609125050, 890861612, 454582197, 202351129, 144357638, 453101193, 82015663, 112237510, 940237360, 936627570, 647766505, 179382300, 565573395, 276235559, 369477425, 11536170, 289133646, 53179888, 555867705, 621685090, 132678771, 659014200, 597154346, 209887307, 267466858, 725189737, 534192288, 126028606, 41825736, 866780785, 170612318, 750987079, 811912981, 744446211, 70989612, 436351830, 44790994, 801518956, 417772089, 525498542, 494526693, 396278405, 119827726, 974008868, 591534822, 891443299, 882518835, 42400532, 104092878, 337630936, 338417657, 270461677, 844429103, 225297400, 591598172, 952575799, 733240170, 724937523, 657274519, 123901276, 646950796, 735679546, 839961026, 700312898, 653860830, 585583792, 328157176, 283396066, 986514154, 693439811, 999215414, 167472749, 854274588, 949957342, 415336511, 819001566, 908394123, 417651874, 309194216, 129186881, 969656294, 728384208, 911266969, 503679563, 123602829, 265023951, 660044170, 4397939, 964412931, 341631254, 307752164, 443994280, 901595004, 864338333, 97957216, 668228879, 997528186, 615954398, 215185205, 569197319, 848686284, 442808693, 186829782, 209639441, 790584676, 825938374, 879787114, 774035953, 212980350, 42543816, 552198307, 585331367, 502947143, 752342796, 650644375, 957027723, 973149231, 749777072, 175852964, 639509670, 379598690, 394973536, 93626233, 408760948, 179667960, 686757982, 705691062, 989903145, 764254713, 274635998, 121131501, 356921592, 305388958, 162559039, 372312087, 709988602, 112668206, 490591262, 794105981, 518899912, 331042842, 970758861, 197297252, 390364636, 85166700, 349411492, 698540766, 413061136, 993272933, 786381318, 343894922, 20917284, 4162469, 818986811, 788392271, 343864149, 49813590, 854778573, 577329127, 212290533, 582017931, 181499940, 718292918, 976197912, 653388167, 607129045, 7339064, 225240018, 485774889, 86942900, 328392154, 479547052, 772380189, 475228221, 847088734, 14313225, 575692530, 90328446, 763361740, 171004488, 709335576, 400612011, 99914507, 51609070, 62520579, 319803593, 714094857, 123215178, 477615656, 16209250, 199351999, 538780836, 561036744, 107923232, 523998792, 166330927, 853896866, 381803422, 531229335, 728074918, 689573684, 907573007, 590581884, 916711217, 95609844, 129410712, 56584327, 959503064, 957056750, 174215174, 744459038, 628985450, 544700981, 256370856, 274085016, 569969065, 80965709, 570140769, 278915121, 384090535, 908985961, 495909709, 899372711, 798393288, 634366113, 367735202, 222448367, 351845737, 954035471, 983250113, 820438584, 42704652, 653660836, 812552967, 657742693, 792480327, 753678477, 263812641, 154229201, 496536597, 999420510, 299597162, 364773715, 211490008, 21104206, 310972890, 186942321, 757251207, 812453231, 663833786, 922407489, 59946741, 564704393, 126756380, 685616429, 893601589, 736990521, 400966741, 116627896, 112251287, 358147473, 656532732, 341659779, 781811635, 496072654, 84594744, 834210672, 774323215, 286979415, 236179242, 497487631, 986294165, 606264334, 581344411, 604436841, 89367990, 183301355, 735670029, 428543862, 505296770, 785706692, 234715939, 277162883, 32222492, 18460317, 271996127, 799991118, 760150530, 269722520, 146813081, 926958666, 951859911, 503574939, 195066606, 804553622, 215936770, 918069808, 378537540, 798837642, 425180116, 165197802, 499316498, 22168589, 185500076, 508722878, 889723976, 908263988, 139195262, 606246954, 657755291, 315325647, 228660461, 927778893, 773886452, 439856948, 162230151, 879081064, 101925670, 524899845, 354342522, 133025868, 108866469, 121189181, 270276064, 969560216, 722147931, 313498007, 719133170, 624863408, 938930036, 536249581, 425190927, 272648950, 434021221, 387834573, 292316946, 274994692, 507311664, 570350651, 195366142, 485475398, 442659745, 471245125, 706289563, 654688224, 271869745, 209340773, 706623957, 567840485, 616912489, 167930641, 303686752, 367962771, 350789032, 80236200, 488932009, 964321600, 927976838, 81006556, 774412764, 160244233, 471356767, 991797103, 666297061, 416998448, 934599153, 595460050, 776591390, 257742904, 808988958, 693050843, 103653544, 128413832, 354563702, 462954621, 195328082, 359138347, 441836915, 957489681, 796564917, 846676910, 540525398, 513848662, 997378051, 228900217, 171561307, 884494259, 721353654, 167291613, 123767666, 215668879, 729854390, 397159915, 5679327, 91757280, 460993580, 758892395, 63364111, 208641496, 970003687, 634189428, 430341582, 744490912, 968857586, 949030417, 553839150, 216345426, 782160216, 792328776, 395705944, 866853155, 286856891, 52236982, 297869558, 201704212, 642231314, 334898280, 455213838, 232079102, 352590943, 178636650, 535975629, 82298428, 646038502, 502890869, 706507039, 474355858, 378367492, 535213711, 116407579, 319484256, 720767517, 246535744, 149382399, 917995160, 670775554, 681126581, 954512373, 797491622, 604082172, 729862161, 511091348, 100672983, 385805541, 762425255, 256157537, 931194850, 560295789, 722837799, 328350201, 354399213, 92596021, 587112390, 810973259, 938371616, 329036152, 46203198, 11616611, 21259407, 692061430, 750532131, 105217242, 726942756, 514312248, 941080895, 335716006, 907162999, 246758021, 552082575, 75297184, 709313219, 695892239, 580985617, 426368424, 824466468, 170874326, 903685463, 174693086, 947539186, 37396746, 101157192, 662256145, 260992070, 622977927, 968943493, 901178788, 862455773, 76973103, 433756078, 68125774, 825843489, 329407402, 955478178, 600573316, 479181475, 453581187, 595941271, 433304677, 56378151, 633487342, 494755687, 493647493, 702660394, 836942765, 920512286, 969629067, 708496326, 976141398, 673631482, 481578887, 745001298, 228865290, 492279631, 902358953, 665644545, 357636002, 407896753, 399474653, 957377649, 720649709, 312245988, 726258976, 655544170, 656631691, 923978810, 525496169, 583172968, 278704317, 266763811, 868822416, 289935922, 413678974, 742915793, 625366611, 417987874, 154357619, 378033914, 586283498, 821889053, 545559974, 299862341, 386532046, 239241952, 856158621, 887565736, 934086935, 495469834, 804782016, 300335237, 253522125, 516950612, 191703017, 690509366, 389966439, 774017734, 305822339, 43597842, 28146425, 840223154, 40448111, 762009308, 964358276, 776198924, 676125809, 405387575, 889967028, 958667358, 239935066, 89479564, 685958360, 367961757, 811350539, 630777525, 568511668, 374273340, 283463622, 781474126, 211086524, 390712317, 40869657, 253756557, 626884512, 113319930, 428770206, 516517849, 182327581, 258051145, 751062164, 453021476, 209763508, 935194281, 20060535, 60414480, 177719930, 884271211, 109869739, 209653092, 708260, 385501635, 886535262, 867463132, 978581191, 598943712, 805049182, 260627808, 163405322, 286408763, 743219258, 128122552, 534875474, 54629670, 649512062, 279312123, 402845103, 359140116, 372800395, 539408118, 137486651, 66594538, 648677736, 249037799, 352003761, 805983648, 855661793, 838101977, 966584215, 254313752, 707375407, 179607649, 200880027, 143531642, 715758635, 114842541, 777971516, 533948872, 853579446, 237192132, 399153048, 253078883, 786767054, 621974218, 661204384, 384911236, 186524396, 694187772, 41970709, 919169660, 864282142, 239421868, 339161732, 516488567, 519958019, 528531659, 61409824, 173364939, 182203345, 98940850, 349373260, 856604823, 916497458, 674392523, 282236000, 713833160, 462506977, 708401279, 694659673, 579465778, 13682218, 535394141, 727635635, 54414410, 80052747, 921974647, 988265240, 641338878, 857810302, 877310557, 543762279, 680159043, 828170042, 248374536, 996825065, 914358257, 483572020, 872306412, 102228516, 363830363, 199715027, 483424229, 681246862, 358050989, 739865461, 729474664, 687499309, 83883873, 619888911, 63919509, 89580931, 986969515, 880180653, 782124246, 772211624, 926728556, 750498195, 960907109, 468747481, 582459775, 194419538, 593745981, 107572772, 453139383, 858102731, 73196554, 642796804, 739325068, 736678254, 424960581, 80889136, 943870697, 117909597, 964629010, 540697635, 854314233, 136923569, 923459171, 964763093, 139833097, 808367725, 824353455, 188538504, 507976604, 887012128, 455119635, 284572309, 583753838, 378567908, 40274501, 271766003, 709663162, 350727677, 415386190, 456743571, 367387199, 80759919, 259383170, 547971560, 325695832, 428876929, 722090305, 492455680, 369959056, 663461364, 180943918, 927920824, 958017640, 57607853, 569509347, 116227148, 579311918, 864362565, 369474601, 615265190, 10288847, 251052525, 876303943, 193318381, 393265834, 780360005, 854401549, 889920065, 814928908, 892193817, 935735418, 878590351, 746315093, 664023130, 929215657, 712351016, 139546212, 205397901, 458050712, 724796747, 9881699, 36003408, 517835809, 381185336, 436786129, 533180198, 542553241, 471298520, 848299852, 941739321, 115719311, 914530382, 795361160, 988057911, 530273205, 511801399, 938922843, 716481221, 896904800, 542110113, 400475008, 772598967, 962724510, 778504679, 895860878, 715570724, 657062446, 557913851, 332375012, 710161345, 437115597, 778865076, 891746056, 301495540, 968423949, 982231830, 509654458, 420687400, 520397609, 592358099, 345820764, 883737198, 684728911, 196012538, 929423939, 266041472, 203595711, 303278580, 536587286, 186641062, 689276880, 711843897, 69385283, 786573587, 151243040, 940899730, 154270385, 507704474, 655133128, 546175456, 790601309, 484502229, 342591236, 115725530, 675141648, 933513489, 195412461, 33284616, 559571005, 330088016, 681807694, 215489036, 276630185, 318633981, 473747201, 5890801, 367430025, 990203628, 482638487, 880277518, 757334763, 835918336, 463648647, 573354787, 310731880, 542362672, 609456683, 624315036, 30367523, 561258876, 976008579, 451264498, 637525413, 654094145, 859258865, 330674929, 949234116, 911831688, 396631776, 305845421, 875418685, 660443533, 170079267, 197271500, 896952110, 218035953, 373722107, 176882676, 179875131, 792713209, 907300979, 351836111, 665322090, 426080727, 557077245, 122952213, 834475237, 630623172, 188734328, 35610417, 283155016, 649073326, 135972305, 202028472, 528968016, 318104437, 779481509, 34235204, 500529349, 385362030, 928509185, 184816722, 476677263, 921949041, 658523635, 439872785, 645597630, 210965006, 937870322, 283047652, 334222466, 15757041, 744118288, 377465833, 12445159, 58467670, 972894210, 548857504, 451306700, 216926386, 473106473, 121624855, 520660155, 232353639, 300385241, 818452051, 721507323, 257346264, 933631541, 437734302, 433006708, 115722054, 309992116, 683901974, 530969488, 575938556, 71796861, 432986593, 133094722, 975020293, 666387762, 221730377, 799402032, 438180688, 310390850, 244770169, 371527436, 444463680, 912982892, 670785103, 65732576, 990656124, 659263839, 58192336, 247116856, 944799334, 58685830, 461556911, 809867551, 736153959, 941822068, 196906842, 398447758, 146111551, 681271638, 711745479, 903672505, 612893310, 893406661, 442568961, 868135642, 204264014, 270742220, 693535504, 272463798, 419541703, 990125512, 47649036, 995664098, 424885982, 126875588, 102094765, 485836019, 684175303, 204043001, 653456205, 248596608, 451351765, 79730793, 761383720, 309108407, 989012460, 188000877, 772836066, 45027618, 68760502, 757395029, 46885137, 437613817, 336367813, 813885235, 901206600, 886136046, 229779095, 891209406, 204971276, 136003383, 113707337, 367269602, 56234599, 428472518, 481084472, 340172985, 931208691, 795779068, 859420339, 122621829, 703661822, 234375734, 799563149, 833391187, 567767346, 20891410, 533372525, 165931429, 960668568, 488410580, 758431447, 374747576, 299825383, 560616134, 381575079, 371450078, 960444484, 318488581, 126541428, 388556068, 902565104, 708149762, 602082201, 668915994, 184030685, 607343436, 588063337, 278810564, 570227758, 203403527, 663861439, 204924938, 364449939, 514403442, 367144138, 434299640, 971931913, 737842781, 107971338, 462669375, 946145057, 543401997, 543657975, 726106279, 672368443, 250340852, 123303840, 369581598, 621165906, 845401109, 509261301, 525379199, 349790107, 473201407, 588311524, 556034306, 278655301, 124368382, 605176024, 509218708, 101147878, 515068372, 147246394, 371116300, 843912590, 752657612, 778569830, 817957199, 979453570, 465411058, 213807931, 487681542, 304816351, 595871843, 378417567, 821739500, 436357133, 332040925, 699082862, 723101268, 357818742, 385027562, 72448155, 9426366, 53449665, 377338294, 983906464, 900128180, 665928022, 449572779, 122009240, 362529297, 756596544, 475888523, 141972648, 259820516, 447433920, 99879154, 788710288, 875698851, 745695174, 48899240, 20189679, 605540793, 132615570, 430511160, 363742760, 998270835, 140199943, 588168152, 826739812, 562511712, 485204670, 624524396, 502472205, 557134465, 190451554, 889046148, 792943058, 624804443, 967528804, 31491341, 540156648, 823581440, 532008436, 840033593, 745764517, 832299653, 76079889, 702740912, 226594493, 536192981, 706575619, 608206918, 216668130, 506786228, 997880007, 438376534, 742050043, 148943874, 264888049, 601719026, 268447298, 933806462, 998123340, 808283301, 331836330, 222421613, 913500248, 170019784, 687155346, 778733630, 97940580, 517088522, 190242075, 887682906, 747710093, 499042930, 745041228, 885044095, 111822895, 456592942, 858849654, 821323179, 519900669, 196055786, 92576367, 687135986, 177719954, 430330440, 141348772, 114567453, 518703000, 54540544, 152125693, 82548652, 35697320, 132459448, 595227510, 503568801, 907755, 939470459, 742360673, 804854641, 250892542, 257764185, 988638727, 305560289, 830750018, 267997696, 480470986, 816447015, 35613210, 973655637, 262829702, 680757480, 970823635, 486587761, 21146520, 118649308, 99749580, 259699796, 90679265, 291503336, 15469292, 745348150, 982044677, 1177114, 64484920, 959690296, 928130942, 421395413, 931730894, 677520010, 685550958, 125092725, 950249646, 380302096, 79533380, 599098826, 178350661, 924822628, 177408891, 544799990, 595540777, 491914245, 674571438, 635853884, 955868785, 980759056, 803184353, 515510975, 758508810, 338169920, 272293457, 1544045, 219251485, 604376101, 865324164, 659828884, 889483907, 742772053, 986149420, 532204187, 66164191, 712175026, 248054315, 846579805, 79137520, 145656303, 454769853, 66760724, 350810002, 602616804, 874720011, 843459401, 500102309, 621818043, 671679008, 435778088, 974184418, 537710360, 397806782, 601295491, 406823846, 102123720, 874137648, 964315143, 425878915, 380601196, 757014150, 468062964, 449809805, 61475284, 437151921, 892333200, 295853524, 755784950, 473502580, 582447599, 178527685, 621225413, 909699458, 982036677, 851382779, 608001085, 986290945, 147654185, 982722044, 615506010, 468228796, 110852254, 51576746, 469871799, 691423098, 790177557, 469584804, 450787906, 291737697, 150723020, 899374535, 131539979, 123670081, 682224816, 254438757, 811637070, 355446783, 733924224, 2310157, 662000513, 584713932, 107049950, 804894839, 953102208, 539143966, 614823394, 753356414, 388564083, 491029560, 314942459, 836879766, 234519757, 822674687, 676750325, 451393208, 559789790, 226696490, 156859937, 61268552, 665437415, 217324070, 382844115, 719644950, 863935623, 832174860, 66265682, 408913511, 301624803, 108698918, 796408132, 555773377, 498877490, 283746741, 176624017, 17317757, 337157761, 674230233, 255924396, 85037055, 764462217, 364221237, 700756109, 317029786, 804325112, 382428615, 543678781, 628212109, 172279690, 616412781, 184740260, 445454218, 35748665, 308373504, 403806371, 910772887, 508289327, 948315401, 614407265, 442443691, 602745783, 718564968, 983511598, 576086311, 245665947, 948595855, 888629378, 736701290, 483104740, 540699597, 131022426, 909681416, 106257394, 7507747, 883529380, 286254270, 862316551, 810144884, 817312181, 953535949, 214848160, 174474070, 349394021, 188614549, 199324084, 968395396, 363748716, 814272093, 426447544, 461185348, 392279401, 525341782, 708597489, 512289730, 874064448, 198576013, 551070237, 327980630, 369253736, 494732228, 763006062, 655231210, 766990531, 624407768, 260087797, 149428995, 442793232, 830096897, 453224997, 75979337, 825169843, 52572231, 189526942, 32248548, 605044421, 163746587, 250276278, 750637380, 30050616, 449928117, 695446487, 960640988, 400470825, 996049280, 719355502, 332729485, 977345417, 541831822, 227456297, 97872329, 296082599, 70911513, 242531336, 899255100, 299665544, 123152539, 800780041, 300499151, 17234694, 93545057, 633951216, 841615832, 635428601, 359133739, 421571058, 310398552, 723044270, 170045986, 761472497, 680837441, 843623585, 413035879, 912501955, 291934777, 496011478, 544872418, 995799807, 916513660, 689643591, 974460670, 711978457, 784288472, 17520541, 602259454, 996784306, 126554430, 495475184, 546386102, 918184064, 935243398, 746585929, 605860071, 218346665, 111093999, 104928935, 726464760, 295795629, 351894703, 941236363, 626689993, 144232765, 232425296, 146929936, 927322090, 483251745, 960669780, 737704027, 701495845, 312475057, 1615781, 966282581, 256638242, 475057140, 507374803, 840142422, 968105862, 663868801, 745882387, 606275217, 559958078, 96984052, 57142272, 815702652, 40182356, 994718218, 779643195, 365351960, 743400523, 194215994, 138294111, 637952740, 951594365, 534604750, 552643304, 739114338, 953857779, 288801960, 658487189, 334144414, 571355966, 280361034, 64693972, 90548086, 955624619, 387515384, 357584602, 523815377, 876577485, 684941544, 194853520, 519636506, 737645295, 349387639, 125932529, 246699010, 237641122, 649975687, 511421175, 328139546, 56178882, 659980645, 962704899, 443272199, 846861677, 141693182, 796615676, 253461330, 62162780, 396032488, 615736785, 268053776, 654970531, 54534761, 180999714, 520446347, 427954409, 331431219, 711641493, 603072311, 149107918, 979334989, 705115334, 530612748, 88143785, 28843252, 792888842, 137589101, 623787781, 375477319, 221209197, 267341032, 667950012, 611625448, 67885028, 339195132, 687261245, 1599387, 659374924, 827645797, 940881963, 654819982, 403024857, 650924657, 777222728, 394361903, 491267974, 152961708, 502304869, 14387873, 111690445, 625069964, 950849925, 616223560, 746312872, 327605933, 48211900, 149407121, 598665792, 319636868, 417858298, 143800720, 437245342, 326508948, 685265451, 88935845, 856740257, 633517489, 138494265, 562284320, 496281201, 903192654, 469464658, 529721006, 899977730, 495530646, 751799467, 961640740, 889483112, 169705660, 529072383, 437476570, 65110952, 736887177, 336872129, 223229677, 950220161, 567781903, 108876178, 801907681, 189860094, 93820508, 11261840, 333924624, 88853935, 187595603, 358401350, 348342871, 493375571, 730688088, 111408861, 220493930, 930821006, 352551214, 769173970, 363356766, 949293492, 663290646, 430434241, 934442424, 516018724, 718334738, 16080964, 552545294, 586648411, 35369517, 45955824, 546503811, 178095178, 53518691, 270289508, 405036189, 275699776, 166491856, 798071196, 656778448, 362953862, 43616866, 71709781, 412708908, 638948052, 331237108, 383432163, 286023412, 133963484, 469796059, 511908793, 946537192, 900780057, 595888679, 416159579, 119543155, 177162293, 867265305, 645171813, 946316992, 909059283, 914814032, 743216292, 316736819, 159355148, 663508686, 783030256, 946899545, 821213414, 420267383, 393470923, 280888559, 990871878, 241350123, 311665373, 243345662, 116137987, 749380753, 945377675, 173854494, 634448983, 847664974, 863686262, 748649297, 712073281, 969066110, 17656665, 718746022, 686700678, 84223914, 875149189, 357691471, 742860807, 717165597, 965221004, 308788878, 836628298, 872063664, 326622608, 713991127, 467097591, 389244605, 576329451, 384984457, 627058696, 282044112, 358348316, 119903774, 678076172, 875892281, 292988619, 471145855, 874635784, 690831021, 536011185, 61842282, 55984841, 255313910, 21633367, 294610215, 935221413, 498238262, 585405783, 237765412, 899986986, 695876464, 415392126, 273430946, 53773510, 26149799, 650082571, 927078726, 19228640, 451381423, 560289483, 940529082, 428501190, 340315082, 507923841, 498032659, 836050854, 815920962, 571059817, 424987106, 185547053, 381849835, 570526863, 180955112, 850806883, 845442115, 689614330, 195444339, 307495168, 226230219, 879041419, 436892018, 629323820, 429571247, 2005431, 623088843, 440468740, 973852281, 765827108, 696926861, 432442461, 99227490, 677254696, 977152834, 254338962, 749229, 50141898, 601955169, 348035003, 907927559, 842497506, 45669545, 403972998, 382345180, 862320111, 71458826, 499357965, 368848352, 383206665, 400750628, 904964744, 458211660, 35208087, 41514642, 806921399, 956918911, 74517698, 775151423, 195708998, 464305048, 586319253, 695990456, 272191302, 934759869, 838841552, 886860995, 953088139, 981036412, 643019348, 644187430, 475176369, 709522978, 435562650, 393905129, 115301629, 42461115, 995806369, 393742457, 233957003, 634294668, 671256724, 581855273, 197487355, 378455300, 268445185, 612965455, 601983783, 250847145, 407427879, 47661763, 807203944, 187607103, 133019848, 322902794, 687613475, 781621001, 264447509, 679595511, 557202808, 725016213, 421550471, 46086906, 973832923, 131872133, 48262013, 81154059, 931388246, 2488276, 681210857, 707861157, 789428928, 746159608, 685680822, 267915538, 404486747, 338854071, 613194767, 876993837, 987763822, 149341488, 940652119, 536766406, 252688994, 638579902, 359114209, 77828797, 543814004, 198429455, 965602927, 866585787, 535373446, 85523636, 667471333, 803469703, 357999071, 465318218, 620582637, 599432336, 129743687, 960762026, 856207448, 32984659, 176281546, 779461689, 768350350, 50367821, 89564945, 366021990, 164097647, 459402427, 139250993, 593196199, 965957450, 751415505, 535381840, 419969016, 194880719, 576035025, 167649765, 67748459, 779983033, 128373536, 570744043, 549446195, 143228318, 541980313, 464333185, 243137620, 110154564, 179875796, 164202130, 97802556, 823758519, 432651005, 196302407, 66565107, 196458440, 3201610, 446658, 535286357, 746070465, 10814587, 108414447, 722166439, 970021076, 253809874, 310574235, 5822878, 600347458, 554357879, 834416065, 935189980, 963486683, 485321472, 98042754, 651700002, 453339055, 347938737, 173925671, 468474463, 809232005, 191643914, 566399626, 162758840, 670276583, 827265964, 174004048, 433062554, 808524482, 222513836, 532167290, 360564496, 769928691, 797620197, 824155065, 388777, 71007442, 506883838, 563291030, 352031059, 824803229, 539282210, 193164515, 189512352, 837262768, 210246031, 17678486, 519941500, 811001622, 142452300, 248610074, 174527128, 217949010, 796613211, 887308530, 377110042, 241206706, 273387813, 838818424, 657687027, 224802816, 24896262, 852620075, 939196582, 285549434, 890029624, 53042820, 779957626, 101248220, 732155084, 896906221, 695790986, 665447874, 572694482, 480813741, 784242740, 301161205, 300810236, 28243374, 111453978, 445469049, 336530590, 855976067, 895346461, 288524683, 661445371, 276611686, 687649606, 923840952, 6698953, 96276914, 197355023, 209849241, 330677273, 856768813, 362695948, 893284970, 444728750, 726145181, 244881883, 281009951, 529018553, 935827323, 363059764, 825464094, 82061511, 70054430, 811640504, 640852654, 964360175, 626407045, 75449007, 958103008, 114716958, 867395283, 325845736, 191897746, 498556300, 747992850, 670180491, 511570331, 167025985, 4385650, 281023033, 78938448, 732289270, 994676831, 460178875, 585075749, 659640600, 473123211, 384011986, 494854497, 259455661, 70597317, 458415606, 863102639, 178635756, 134953631, 924014673, 715871521, 429243165, 693546101, 146417511, 837923242, 719275835, 216959381, 216732424, 707086543, 262559105, 752130810, 303886466, 529916472, 938437581, 165746988, 576115151, 193914653, 217564832, 547535259, 169776360, 401674725, 422530721, 180491859, 938144888, 40035954, 279832950, 662235723, 716073403, 359986749, 859131963, 121745326, 461257090, 609718101, 414827292, 86103216, 2681433, 149307394, 806800296, 993341736, 938747282, 641504171, 757851639, 473947441, 685471928, 235973887, 277425662, 514714668, 653746228, 505796036, 170522441, 748720104, 214176378, 862963405, 253934875, 372259462, 496271067, 149208016, 255990068, 35620838, 408441115, 304505441, 862918157, 433751626, 261059379, 215878209, 669305764, 763825600, 529695460, 174476643, 143751394, 912127531, 722647815, 649758036, 653654754, 140650120, 555947591, 427106504, 838007690, 377297397, 284327015, 722050673, 283098430, 854243356, 488305417, 74461752, 15010803, 725149420, 614445485, 959550012, 76873762, 742883454, 43823524, 809713026, 234643734, 69028747, 26033435, 285046044, 400500155, 456863249, 316304521, 523267711, 711962542, 996479151, 947249260, 2216268, 111570039, 906586131, 876437542, 84906249, 432807043, 846820701, 515498573, 952787021, 63638955, 714526015, 863238254, 155796602, 16522862, 602024414, 6332892, 219382169, 924639934, 238682351, 950453473, 535559040, 52429990, 199399202, 482815644, 697929640, 117656527, 133150630, 770878826, 787131145, 576732310, 135378759, 588414052, 752207234, 50392475, 767022377, 594001584, 997585870, 346599472, 610548899, 983784705, 343144743, 492481682, 758491243, 778390804, 262456915, 855390828, 88043154, 592118165, 276571930, 824870295, 972054120, 682425755, 570866261, 239094726, 886034404, 593868826, 885582334, 934465191, 672727839, 600989338, 491151662, 238242567, 821520239, 705578188, 474024065, 253038307, 286323487, 215983593, 877677357, 49295443, 119657665, 682163618, 377923045, 677334500, 721064768, 135248077, 326163360, 788156832, 319761500, 796904155, 143353188, 603461863, 409152673, 736490702, 973555810, 753649814, 43547228, 170430754, 598836839, 670437507, 250924187, 293012218, 609078557, 352479657, 386028718, 411826614, 696411471, 269150518, 712451467, 987828344, 516659756, 420115960, 584779015, 687929523, 497758719, 215033438, 654319988, 679851583, 939875904, 306599669, 775585536, 92505780, 584977696, 668331137, 248952992, 531604760, 35985106, 123965089, 9470483, 482485115, 561383165, 573724953, 92681107, 545913429, 66804044, 315875511, 700968797, 829397608, 549648691, 323356577, 941649790, 371983855, 111122625, 570714476, 44331211, 54554824, 679996420, 634520679, 672318168, 741719323, 190954241, 915024030, 951948173, 109417503, 64965207, 725050789, 860977465, 38444411, 327028150, 682829078, 85029570, 356109546, 662412516, 546218886, 495527633, 159425444, 396824883, 787336129, 837697965, 228290379, 444542543, 63733047, 614025845, 738964111, 81474850, 957654637, 630111012, 248201054, 484882594, 912847904, 188791526, 995403366, 100481323, 173468099, 564385354, 421106755, 288796411, 52197514, 583899222, 963013876, 976506220, 300338080, 606268824, 172169165, 670422827, 325918558, 289245738, 461929082, 975983339, 929240235, 651476200, 868260105, 274781169, 119251766, 971397026, 173902595, 495699857, 552992311, 674064163, 815212002, 812927258, 785977279, 82448657, 275482542, 139194238, 273897708, 220177990, 903120102, 545055358, 786863883, 618417053, 418900585, 979721531, 626913285, 58050742, 806349324, 985735515, 439829172, 485513827, 300930458, 444166664, 954433827, 178599027, 596160530, 397893721, 907701552, 826671380, 165906512, 955862217, 881910640, 865128420, 572795532, 565103470, 509704708, 212909438, 864117140, 963886601, 673381742, 317764852, 451412512, 489623601, 801502227, 309719431, 267295633, 385583903, 531563988, 835819410, 795829143, 960071238, 575655498, 508730252, 526663767, 789443226, 221193743, 902525043, 195640753, 125712797, 990467904, 507683374, 850882115, 964995216, 550324955, 248286543, 779951988, 220389794, 767268915, 611625991, 772918214, 650068458, 406270936, 602323631, 855189994, 693997687, 50673117, 834282228, 8753233, 283100408, 78029415, 898128398, 304633674, 358473901, 57671675, 749067650, 910397244, 448649256, 525099093, 139507871, 923022332, 529483924, 67074431, 130802898, 65349084, 302670392, 327039423, 978233221, 147007938, 817929485, 516899116, 728003903, 300930476, 216333745, 864173842, 205616293, 139125181, 710710067, 838627828, 516540334, 503517745, 372343184, 172057950, 149035861, 587931537, 164109657, 242511342, 412462730, 86622825, 283744303, 692370883, 289422107, 613269068, 514398255, 155067362, 604172565, 917274572, 818422869, 993423004, 763699999, 757748318, 101029667, 856217183, 213630193, 469392143, 571518168, 265022416, 900028283, 732078412, 70567897, 194271437, 897569702, 537905845, 129538105, 363834821, 776695001, 359440608, 179731329, 677420254, 45235722, 471542153, 395771141, 847744685, 162347048, 903629513, 644645020, 622104177, 774417672, 396141822, 610075265, 939968385, 121637040, 833545718, 919029984, 77610459, 964490234, 721924959, 32319928, 120229011, 490902809, 35517493, 640177779, 15121853, 954000294, 308599485, 406475164, 74840343, 870300643, 160422124, 186036411, 965436221, 697753632, 810078601, 302595334, 352013999, 971605423, 338971933, 950021383, 74876201, 959943537, 743915562, 793390837, 648922537, 551448333, 37088447, 113499323, 668322968, 426594033, 387066623, 180772673, 475630157, 338238578, 692314349, 845103411, 375885404, 250092144, 566026469, 341773124, 869501419, 630825638, 24110724, 615982710, 540370913, 598589888, 682972503, 403228289, 826871596, 265852877, 330266945, 893639800, 835257865, 304282458, 185741033, 38504583, 750995036, 687124971, 328210072, 234899376, 956070838, 582697103, 587748946, 127391936, 682869259, 19715392, 373409659, 586664469, 905797514, 401841322, 56334065, 938861306, 768419381, 934563527, 611490014, 506837974, 451529935, 50300541, 990993227, 768793350, 532157092, 196197824, 352337641, 423946703, 416925199, 585833590, 368833582, 881713229, 292992520, 662877758, 59080594, 25746956, 845002585, 924958928, 317144121, 176969397, 247228579, 173168645, 791111055, 189408174, 661765805, 105345267, 410741195, 545984664, 256921855, 655544555, 295381500, 742983089, 336911528, 154187345, 912819488, 349368157, 97690182, 96285936, 74464974, 145489168, 260159897, 690891866, 463940099, 950826241, 804035758, 789185726, 583067834, 511545513, 173198802, 886685794, 681522156, 213770927, 193877128, 647528509, 255150220, 421034243, 970894556, 461104050, 854672675, 373231146, 350908572, 771058363, 551682333, 277530860, 705279888, 952861901, 1211247, 470239554, 277858274, 943974561, 914261766, 931077601, 927309949, 849511488, 207458701, 776004679, 257440861, 962418285, 907641543, 245571629, 135753935, 529259158, 421663170, 71919489, 614027682, 348106639, 630803740, 432913598, 160097566, 219457023, 776508056, 291697076, 259424745, 768623679, 216655972, 708859358, 530682078, 987316804, 404289670, 595771990, 273249854, 149508777, 71203155, 713398475, 456081375, 303563851, 568499333, 512672065, 126334413, 526460970, 107472442, 282244778, 286699057, 493932218, 638782210, 581816903, 85489105, 586774856, 61015758, 175092101, 610242223, 747420776, 433804131, 704111182, 877148573, 828413359, 878855602, 236053006, 528097269, 549830212, 40446500, 968171859, 520288333, 364535660, 670637272, 942580850, 921544501, 933220856, 81463433, 43185921, 598808143, 991247398, 675616963, 121981235, 544714909, 139811264, 41023675, 761625127, 68785290, 807462665, 197550272, 912354198, 336234010, 417973084, 235963409, 218269206, 482510992, 463526224, 566497699, 760142121, 354976953, 310435389, 426613866, 263680237, 593937351, 651363402, 262293544, 630005736, 786703585, 106299577, 795230207, 194539670, 685159617, 401609024, 181881831, 352555717, 922716031, 570858267, 806242878, 812129441, 222107408, 360697000, 558054193, 21436340, 948919304, 697060931, 989922595, 681676498, 348869101, 441978495, 334004427, 520438573, 785080058, 426714772, 998594121, 801715878, 972879838, 499765065, 532975907, 195758070, 524827730, 54312099, 916014577, 283165590, 632632405, 387395759, 324287623, 54824509, 573536864, 57353798, 209875643, 426084184, 925087136, 42692571, 6650096, 306463962, 34446374, 767565696, 178681459, 333265872, 91522023, 216598488, 472146999, 582102230, 598610788, 182048444, 508068765, 145737535, 704528729, 870495174, 934776368, 329614827, 23012401, 965551426, 897220575, 374105702, 320263014, 274295201, 230639616, 188839359, 890154924, 313160252, 636826981, 131228866, 885295815, 664327081, 550235625, 375648927, 815746154, 464965031, 429421500, 539186954, 439885812, 511454366, 504433086, 555198486, 755623548, 393278516, 759572176, 607833230, 513895677, 877521004, 681219745, 343635221, 386343738, 977102889, 325262577, 17993467, 606414710, 839532889, 911345769, 71756176, 214775276, 730531370, 54906386, 630000297, 618227693, 813516432, 363456354, 308104732, 321109476, 509652459, 73006029, 663643709, 258951009, 339882378, 773251714, 21449291, 628476369, 273267766, 580747328, 332830190, 94694005, 42625129, 695810238, 982658846, 452169270, 771035190, 80348571, 970848545, 943937097, 172033751, 404147378, 598904764, 700531095, 498868754, 990973349, 920066862, 697683496, 684534059, 423812465, 902806807, 119737717, 317774775, 806637443, 278977696, 656114106, 238512840, 972942001, 207219752, 334304093, 455306696, 610295863, 727306850, 808936321, 570495328, 673996006, 461035961, 35419530, 666694411, 8915842, 247010638, 462682664, 185861822, 518878490, 561311016, 677364809, 602499003, 267734192, 295464341, 932361458, 432406011, 152050684, 810656616, 906665410, 373706812, 706021905, 472200363, 551936608, 738440243, 718917302, 879742445, 145664089, 302646953, 678778845, 669414652, 128470741, 810504842, 836406042, 275671104, 677222252, 476771535, 75605489, 456514787, 659976885, 897186774, 159830068, 252165668, 661463448, 833738531, 748408836, 967689765, 160996808, 258894979, 134902748, 141406993, 999549179, 295680690, 37364322, 461802718, 613307824, 25915497, 807742944, 969000624, 598802119, 955333451, 401378382, 996925028, 625023668, 63687356, 143548413, 123022123, 939817474, 120579160, 995315922, 825854458, 40040733, 177297158, 359523621, 930324004, 311243667, 273253182, 500240862, 415359577, 343957461, 229955628, 741653321, 14852651, 966344628, 271824675, 469693809, 5149787, 364877273, 301276125, 333402205, 193756479, 419268118, 831962580, 306005446, 623331456, 833451008, 999753943, 783636348, 502851451, 599279850, 157673463, 841647244, 390116362, 597113055, 820433541, 577626231, 478294830, 862025047, 880576630, 712888600, 956629282, 560666556, 488399244, 630842028, 416202879, 514763102, 346993185, 860569085, 15159589, 251576652, 512544842, 91277033, 452746644, 144055838, 796549630, 792218317, 921367904, 22283631, 83511829, 460262265, 92890194, 407751621, 926248355, 656973959, 224305582, 708462908, 54249591, 141249158, 542920927, 372844671, 726343485, 120182961, 253579215, 835188894, 804982035, 852554602, 297387066, 431489385, 940123946, 77480950, 150153886, 422171524, 860915944, 326571987, 944674406, 538880698, 843894316, 839228755, 179771471, 296114554, 790843952, 192161924, 31965220, 549902800, 960419534, 631810756, 150561352, 932490722, 19333608, 542801445, 567997712, 453003730, 637026843, 941564233, 937717388, 939985904, 489597812, 205505017, 102309919, 27295311, 273362, 272563062, 484149234, 818311710, 223959504, 809354207, 804119995, 246172532, 265869025, 99133031, 374921714, 163207745, 489591905, 810750399, 607156417, 849954472, 973654990, 948819596, 625398874, 662690282, 402685107, 235415646, 418858014, 138180681, 936895810, 570176381, 26083764, 203925185, 538110543, 876355868, 883587553, 134908497, 719379389, 667022154, 486425006, 335408331, 788308144, 894059036, 51527537, 498602301, 528500128, 57744710, 942133279, 647808629, 695337403, 935506697, 948444733, 608644392, 251504617, 657959214, 185749779, 478559906, 578700841, 528393427, 448473148, 438443714, 602311556, 322057259, 102347929, 708417538, 349451108, 254554389, 468121385, 759261194, 412764398, 96601336, 420736120, 403617916, 401094440, 102315181, 796367858, 623311337, 896211180, 625301335, 502546306, 130095747, 317807298, 94427687, 186827229, 413048933, 32955665, 737693023, 331576603, 52689892, 229298106, 961912845, 885781864, 736043641, 738400410, 236849640, 562291464, 935310324, 239501664, 804348972, 652386669, 963293609, 356835413, 388392649, 634534617, 472083001, 196854789, 858389750, 550345022, 351825780, 304032438, 682846558, 906068384, 724834434, 78777153, 632056677, 165576795, 484112060, 147354515, 109496742, 687073201, 359890602, 556864513, 280188803, 56653780, 446300063, 104382015, 237456354, 541009387, 713838788, 559202635, 263469117, 789593477, 2095614, 423359851, 950453795, 762299530, 140963918, 32780864, 679550611, 352996115, 635271416, 58865372, 418570133, 406790259, 775629350, 13259964, 474536354, 175188052, 298393001, 639074935, 886018249, 261709592, 433616958, 552521566, 87752439, 514838568, 444150628, 969129265, 887186703, 660814723, 395727927, 495380359, 281401758, 787853229, 685333935, 5961968, 157858285, 970260075, 792614898, 798099129, 394082473, 124930359, 224121619, 167368066, 59148776, 258492924, 828587897, 474657976, 805104696, 489979878, 625572930, 661453802, 458330439, 747234705, 909365899, 426254228, 191340513, 358761486, 622740553, 42717430, 13921711, 169843959, 182714393, 955482942, 119006396, 716859585, 988115266, 667505526, 886169039, 296305317, 981409067, 101433410, 811649487, 609937209, 414418039, 680080242, 350372501, 638963062, 195937516, 493895941, 370051303, 994620595, 582866158, 67403394, 773626884, 238950242, 87658721, 788673616, 262801302, 753992616, 186330807, 429591360, 586447961, 448015769, 820093601, 871257915, 867708937, 416456599, 115399936, 922531855, 887574762, 63219024, 267634563, 184444772, 219282774, 883528963, 306104732, 79757304, 723269864, 297381020, 120949259, 941404265, 203394324, 860655544, 346146867, 496518746, 58467521, 66174328, 997249750, 782614143, 816383203, 38962891, 158981961, 461683704, 604977094, 243240696, 27632052, 905949848, 180433771, 118575662, 712509222, 668803908, 356018628, 908780317, 415938424, 894253181, 522824388, 80097598, 889932597, 203372524, 188097818, 758252500, 454998072, 373499714, 835841273, 744212856, 533426439, 66467752, 193233673, 27000985, 632311651, 789177693, 486667041, 623283304, 20224792, 625800385, 292137521, 992011589, 516102356, 540288283, 349869252, 444212112, 942848737, 451648307, 801508809, 23958115, 562266820, 218460485, 892535071, 68588872, 516346239, 814389511, 363423269, 857324123, 872051618, 514039322, 714514153, 982754707, 256289202, 537596373, 698379334, 661911286, 943035873, 551689034, 840274948, 777004458, 686891791, 12294014, 25159363, 149301485, 181418948, 780010779, 240298898, 113084395, 119881372, 444567148, 837021901, 19233892, 146205200, 117441236, 502237451, 78226946, 227008585, 657617521, 963621185, 598565971, 942338263, 827492389, 331979260, 491224743, 381476224, 701307700, 685708526, 43686461, 869066266, 659059766, 225705045, 766069548, 595366506, 436958688, 726299501, 484768942, 392641774, 88385794, 121972007, 809398722, 166682363, 533760973, 136463117, 686012076, 78386700, 499915456, 65539718, 98193575, 288475792, 157783755, 123089510, 352585259, 566137124, 471321494, 915397211, 723292632, 742384780, 100172555, 2170546, 789949857, 231001010, 883483282, 147021419, 129163034, 955615962, 387446532, 275400542, 439929978, 498287771, 18013327, 99611627, 653282021, 191820948, 443190813, 905014679, 312684136, 691477968, 683742433, 544089261, 240820413, 858192038, 117341222, 769483562, 774823388, 713978978, 545639566, 1771860, 21811138, 938109714, 560636146, 89203414, 124310202, 107345839, 472314257, 963502926, 427625322, 85182965, 158548081, 274380448, 587819665, 481303508, 388112487, 898234900, 673045889, 172810915, 228946981, 375786282, 903074792, 170911985, 172980656, 87433783, 710485478, 483790135, 702623127, 625288684, 546255041, 736791130, 118382762, 456580340, 365918582, 904730345, 660301045, 619201000, 729474348, 420097430, 217085295, 850196933, 813856130, 830907803, 736863591, 979885141, 173441798, 624426868, 545662404, 660854329, 175739727, 491157904, 169381707, 82970671, 365028521, 366743118, 842638748, 264784950, 523184378, 974746210, 326158570, 569710445, 755728649, 337104683, 227400241, 150898954, 295795680, 355157612, 385401396, 111310571, 912497574, 452183070, 903040968, 217699069, 526987891, 806717032, 931053772, 248863603, 682794052, 171256474, 378549178, 615562593, 809762140, 805466618, 141825038, 526979985, 338416207, 360993164, 318430138, 66272017, 2766514, 999584573, 307485011, 853915777, 786610238, 951423816, 41149376, 455652602, 598588375, 36637626, 33805783, 286873857, 991912968, 249809541, 940893357, 419563656, 453104978, 629634667, 73726548, 689144132, 3998450, 987314851, 9662926, 91566174, 974443021, 251138294, 896671208, 829679653, 85905223, 790364296, 124254188, 738359941, 68919431, 295849133, 612580467, 141292897, 148015843, 77690465, 856183035, 647834414, 378746687, 446316372, 521083937, 111799567, 231818269, 772968068, 89902031, 702771150, 795982028, 721747455, 194195464, 707332576, 554480021, 209039795, 394631398, 878770138, 381916241, 499866439, 125480542, 802558199, 76703296, 98271946, 588347834, 231969734, 158962589, 388564173, 693812259, 172021812, 362975332, 187541013, 462933580, 896520962, 223083416, 673750726, 767872906, 235938610, 284939400, 968742952, 862992390, 863078473, 771316761, 90415195, 700643622, 194982208, 471712911, 127719718, 387325985, 109371523, 57078602, 495800335, 450892203, 65269250, 601824139, 981634218, 510886063, 122832505, 183225102, 330212607, 480805120, 644392610, 912032142, 996556912, 206657277, 687397090, 158278423, 693207487, 223352443, 507203382, 854214325, 100540844, 782739174, 302605993, 340127369, 938203229, 670839825, 443451717, 829138699, 259071, 709583895, 862050272, 930741611, 897273166, 75348557, 278248563, 928270259, 288247062, 280968733, 805342105, 309665265, 427246159, 4289700, 333239587, 703297452, 994589968, 249506791, 552727355, 87251505, 55599758, 881733228, 424056630, 560526125, 843870099, 594057085, 123566753, 499728536, 452326098, 373616585, 62833286, 323731511, 392520425, 651302492, 530391026, 543037763, 316036568, 287761227, 844675711, 540947202, 995114280, 628645434, 859758183, 465224867, 636030202, 1539441, 451491317, 227645732, 977024284, 759619546, 887551781, 464547107, 216822526, 404841888, 807658172, 558543551, 763924652, 63368742, 451222588, 611067056, 79540602, 655033263, 190443181, 288792060, 109838701, 396903152, 308162276, 270040632, 169578101, 737074394, 831780773, 240135821, 748388385, 167134710, 124064962, 228498825, 730392983, 816226864, 543878744, 963384194, 312536100, 741071998, 566621292, 820609066, 397815264, 425175324, 440811132, 995865224, 91678454, 216227569, 816004889, 829346862, 461100891, 720403097, 752741609, 257261186, 838934528, 557669742, 636588899, 690688240, 58809903, 841926599, 60418296, 404377303, 237087484, 660556860, 955232865, 612999528, 840103916, 156360668, 526373298, 160659228, 123318377, 949239724, 113341615, 827014106, 583009273, 202083140, 753956451, 353813457, 57595737, 389930087, 593790434, 691756113, 26630498, 439977053, 188394177, 553812535, 444789586, 131422042, 969035371, 583201273, 340878488, 700666180, 130789595, 350828448, 572366636, 631159150, 190433613, 503048782, 996551535, 647647110, 110879795, 612564742, 309859062, 411994558, 621321861, 230578455, 291249717, 108024663, 749181218, 528028734, 579667194, 208520026, 811710912, 124030938, 607506859, 362418936, 272726275, 865058886, 55555063, 668738689, 591363306, 776113029, 311918818, 181004298, 265645169, 979953227, 29142851, 716379920, 827603008, 190220883, 788025372, 396731733, 920209311, 689912336, 327584574, 309071470, 418687926, 152079856, 843816642, 240250397, 309806922, 662548623, 60869125, 94867079, 776922816, 414863324, 730990381, 149896807, 883511927, 436077063, 85710604, 249531086, 168200317, 205196849, 209846358, 911819191, 169821830, 140879863, 475783566, 514693215, 624120236, 695661517, 463147869, 258489213, 970384113, 80592558, 863185756, 338505938, 581081640, 560234890, 752068360, 794523358, 345585813, 799888553, 149712738, 656066943, 138607213, 832146481, 649289753, 88131706, 111498012, 99092792, 92153476, 226618152, 872827188, 605299938, 533288758, 195124375, 903617409, 720441389, 619921301, 653087829, 660384155, 808472452, 535093885, 61743370, 915598481, 677953198, 66708794, 907598526, 623010390, 259769456, 438109705, 935980436, 170690977, 113311683, 622077484, 461341263, 903452258, 903826930, 135166704, 361994604, 740321788, 697224732, 350080183, 627266168, 368807326, 549284997, 438268425, 917175813, 602660850, 996366802, 620550639, 785128439, 74574882, 422882265, 378646700, 513869969, 283937334, 613939238, 74065474, 142948436, 407366968, 431648652, 881294781, 797191104, 674591305, 900878810, 401130590, 766864304, 481897276, 198217441, 852136474, 481178773, 662399245, 837059521, 671171774, 641898469, 868847127, 695988179, 152971851, 505204311, 903862744, 887208251, 452303861, 255501246, 829599685, 743646673, 795763532, 933986916, 276961909, 460311086, 724342224, 60155044, 346446918, 95818779, 488116996, 503258131, 700308788, 250198895, 605871008, 293394331, 31788838, 914273586, 48992704, 746276682, 830494687, 950994197, 549651480, 169209092, 614357427, 623217976, 206909789, 660294311, 800761960, 803595244, 563212220, 877414205, 334824088, 129612967, 31319702, 517277614, 971450625, 40549884, 418302764, 975921886, 494110414, 428501681, 100458862, 297970288, 796975028, 931840328, 710854942, 943725745, 355498282, 437876873, 595898068, 590738419, 628468209, 413713772, 294104914, 608617142, 17330788, 501590819, 970269472, 812135352, 47996991, 791325981, 50813179, 480143653, 665919450, 542089691, 422259713, 20469006, 810631489, 816177254, 272800407, 196065156, 9864814, 347187840, 412773939, 752665877, 167342234, 711837372, 10372310, 913919197, 199000834, 52010775, 21149421, 404997467, 532338011, 368067294, 189821398, 626822515, 936094756, 72456398, 998090956, 846860488, 670190959, 732966308, 762177563, 984326850, 127068431, 861398365, 898026869, 456728101, 161028580, 609993830, 814329303, 721015200, 691288967, 400622132, 636913793, 5418253, 878347907, 75256556, 339631562, 128047869, 219939217, 856722242, 392341701, 198573721, 128296963, 946968941, 640177087, 572642068, 63010919, 361497801, 288897874, 191300965, 410933620, 630686982, 766283577, 289111996, 437001075, 984351013, 657759562, 38076518, 32386262, 198655624, 945199294, 264818333, 642138350, 858301119, 532791158, 114552945, 215469982, 975998634, 633206488, 211990855, 107059507, 353654794, 155786842, 815948486, 415376950, 476463705, 960592603, 867756672, 305946890, 739448470, 739530858, 706232997, 619705099, 677677380, 285712183, 903068449, 760852172, 792383952, 161195864, 184276951, 266531901, 949155693, 731257509, 631310392, 817272334, 346860929, 480940439, 512365216, 859283350, 151116933, 104391363, 185703611, 774436183, 179987559, 727207807, 62375412, 632745460, 610592494, 353952291, 708143009, 548785222, 741529982, 8126400, 53457455, 365889985, 33220315, 108885474, 192072112, 567479726, 446156043, 736307692, 551945514, 757136940, 193701970, 524017529, 272770802, 847563540, 137893944, 164772817, 73311874, 463184305, 605561995, 72460209, 299477051, 309359622, 67660247, 752632625, 406350412, 641578674, 380601277, 279381620, 222136007, 567401191, 102775792, 839912879, 817307586, 524336918, 203710404, 733260492, 309216013, 979709197, 839340849, 924511647, 731218291, 483077581, 652732288, 662441820, 135562132, 719477130, 967508955, 11081394, 79140850, 379680911, 545517760, 655357313, 541191762, 237786502, 551052556, 272953852, 303775637, 170764772, 553341236, 648308294, 368813375, 943813144, 942749452, 726434784, 368486001, 114342567, 891309178, 511066998, 816861374, 87881401, 277168568, 132347043, 779102686, 326733124, 318240520, 694561747, 819143510, 454555783, 456963001, 231010281, 671456290, 413680218, 55004740, 124299147, 763765718, 655623497, 30513945, 760016232, 776035128, 687033325, 639705659, 239878248, 209222146, 189347140, 761781249, 552031923, 35143196, 815872965, 429074409, 890259595, 712309485, 933780447, 948030009, 765830083, 489377762, 977210883, 228169112, 245726169, 78289682, 998239478, 43225300, 821924168, 117078931, 630627631, 695649483, 672114695, 818700928, 16605382, 435583074, 97567064, 30905827, 710450012, 401194320, 825686399, 707599091, 162068943, 88240498, 403348990, 402717876, 35577349, 52282356, 186402623, 496401056, 843877507, 94657396, 497655354, 97535851, 776779690, 789429817, 492947846, 652496805, 627858703, 164622770, 111093910, 796445609, 801664942, 704403607, 156835611, 366332183, 174390670, 161540643, 83571668, 238365638, 323406626, 974883043, 336159096, 532893127, 614079202, 137859971, 715910366, 43709408, 501887149, 741713207, 821882784, 315964741, 697600687, 232799126, 877210255, 429470291, 510677121, 223583435, 749593789, 649686131, 724585654, 478878889, 221702698, 754240087, 578353168, 351094952, 8947826, 305636452, 759739584, 644093734, 89857020, 951056098, 275115697, 332185559, 513376910, 992967798, 906221426, 788703245, 209969047, 222807489, 113338578, 41873753, 263367409, 91902892, 529577237, 657212092, 966339895, 777659357, 361452870, 220157222, 495100976, 58435367, 359263756, 903336137, 588770160, 945083277, 604725980, 330253763, 688294281, 418997820, 16746734, 102090671, 51718713, 125735780, 218541398, 908647834, 423141054, 553267784, 883171904, 856969963, 549224047, 757662839, 211670728, 553604472, 686555071, 490142339, 948371243, 977280039, 406374265, 422489130, 635153204, 799067464, 958923809, 263648636, 986388315, 341184045, 839384672, 754699667, 197895152, 613291260, 180145033, 882365979, 535607248, 298318195, 212058628, 721497066, 722051660, 220330170, 247858939, 742508154, 64571907, 581520866, 303972505, 543529071, 103478606, 945415427, 203174953, 290396436, 572046687, 715536963, 646509874, 159562010, 749890118, 847150617, 745380773, 874536993, 740888242, 582672159, 572525206, 223006034, 837007827, 933090002, 911627279, 502652088, 799430881, 627487933, 677280310, 175562453, 445714182, 221862512, 960820176, 613527486, 931489259, 466566184, 134319200, 466523228, 70940554, 565504657, 385480621, 291171862, 891220796, 353872983, 6472955, 381455450, 13374229, 635540518, 470105967, 232900844, 196707179, 719790938, 549061269, 793882793, 883460563, 635932393, 495007780, 886089547, 845503936, 431310449, 363660363, 973133937, 384868068, 550732572, 355239404, 163417121, 327193713, 223214408, 718091879, 881870883, 384689677, 101074665, 813385507, 659645981, 361465422, 657346814, 52882712, 207857782, 119633633, 397764051, 969311866, 415835287, 549409625, 927964416, 662168518, 670872118, 613048140, 682589623, 514378573, 327231281, 978860422, 321461298, 88208944, 31854494, 550849653, 454157907, 547896687, 469127023, 763372642, 596340589, 962881315, 858202250, 241885188, 592685193, 483497617, 268565483, 921386708, 381385138, 993970140, 147976534, 552230865, 352844518, 950516472, 347669413, 688088616, 810273864, 46075398, 848099773, 331613322, 551938035, 922406835, 777768177, 882798274, 486335911, 909292973, 256831147, 644994126, 150547995, 288370795, 323795663, 108742265, 453149073, 912532352, 15582072, 542098727, 800502675, 544882890, 26501794, 349426998, 49633702, 568923524, 491756306, 104857663, 462931562, 286692666, 477256230, 514175190, 787063840, 221154006, 261952541, 660711329, 397456899, 981818417, 530128147, 528257350, 963119957, 380377420, 686809808, 132144647, 528985910, 822294053, 616751510, 342510535, 542964752, 953736559, 313493164, 606887229, 911292, 661263553, 317923504, 150918173, 953725773, 362959048, 728509806, 653017803, 557664301, 394839285, 564024321, 704009062, 582571207, 210773563, 934715457, 217651160, 146271867, 175351431, 734103732, 619211915, 788609505, 966641330, 664196629, 88484452, 4375848, 264242203, 283978763, 83505158, 129465938, 995387596, 673405066, 911938491, 848086590, 312531131, 231829372, 534010781, 208109621, 934747745, 59758280, 861199006, 292364283, 422301545, 170556456, 982043871, 461717221, 923602512, 439408812, 554739754, 322796482, 602385737, 606130602, 803857160, 184414665, 331495691, 115086127, 473735814, 720760173, 865176005, 911883067, 739298005, 710288379, 824096197, 208072427, 882631896, 909755613, 158794979, 561655918, 239980500, 294709389, 859781803, 386790038, 236223300, 117115216, 133665300, 627007489, 862633710, 949048873, 305030016, 491724165, 27711678, 663042318, 856215328, 322408442, 240477405, 571620355, 570994377, 519959176, 222186849, 586598305, 196850282, 89750964, 256459655, 742976209, 26407404, 238815112, 726482896, 26355249, 310573384, 196809673, 532263838, 19124291, 794786340, 769165130, 41163052, 913648000, 799429256, 123697854, 897390823, 97875423, 185273922, 141443839, 219477736, 469243930, 995093812, 579215653, 65184158, 21448310, 193287709, 746956323, 24277780, 919064137, 910732439, 561660236, 830485783, 126349456, 434520385, 301911573, 536666991, 176665085, 400954491, 978235065, 371380724, 348013368, 259798936, 327489424, 111043722, 314249202, 222824710, 728307409, 270371251, 75183573, 154614057, 510711750, 782148192, 635853480, 301575301, 530572053, 345524638, 437031322, 752844285, 988264720, 305379142, 891520954, 768977588, 358878989, 389180951, 861964780, 798867116, 393911788, 21750507, 2233747, 531158231, 541881482, 442255072, 575213953, 828578790, 67894413, 256710500, 785265036, 403538256, 59202696, 989532536, 394166965, 837938694, 576886567, 617846895, 410323912, 807527372, 895741629, 386416813, 449271395, 373633647, 727394498, 347734284, 12223382, 287148315, 67155248, 669491060, 912542072, 888119566, 55675429, 17359237, 29359169, 778123732, 669850475, 784249755, 898534023, 747242469, 975754501, 355261389, 98103520, 38885553, 888991824, 567438991, 539767105, 741520318, 217905171, 938406910, 960444514, 991012863, 887743765, 935872850, 123954930, 277260410, 757880475, 622227102, 748936696, 119120740, 296073344, 890727352, 510793528, 72710488, 518483154, 388362322, 875867656, 934948443, 149838834, 473598381, 52607866, 197134941, 900372787, 918542323, 959804948, 887071515, 396721017, 126255377, 910945082, 75320725, 757075137, 738945772, 477074789, 73043753, 277156626, 242124511, 353796082, 405966230, 907579650, 559454138, 401850903, 289320501, 580367026, 956423402, 383334128, 158486392, 217962084, 100351542, 627266404, 30158315, 852741828, 38685779, 359487251, 177384403, 744300229, 648044924, 757211372, 608618902, 709949274, 774431650, 50030624, 882837771, 845662011, 884149917, 886509289, 828776883, 349835217, 304493295, 280532931, 937781840, 653830358, 761388380, 79857414, 466954147, 791394412, 161927485, 883185226, 637460453, 368855267, 895727304, 414455204, 511026749, 41992615, 751131197, 865454175, 915612067, 95439329, 956801634, 564580135, 493670196, 243576528, 592912467, 965327208, 722836392, 669703383, 808506599, 397074674, 776575936, 673595131, 260697013, 401493934, 965560807, 788173731, 921330088, 60084730, 420687211, 798036709, 210645326, 306179972, 134004315, 518908306, 34104910, 800684544, 784291119, 59398704, 917164084, 792699705, 301163631, 776747883, 757977528, 121460391, 473587570, 430795729, 965445788, 841403811, 258923773, 232207692, 573968501, 149786305, 29281179, 363984292, 869045797, 826023315, 741425895, 636061738, 546546035, 133785744, 859079739, 764042548, 802354412, 7432871, 924757157, 787578336, 130791650, 380832386, 824853418, 527345636, 702825644, 19195472, 311714088, 999987183, 386352721, 453561610, 101405884, 217794774, 554227798, 386223742, 741247177, 184234488, 773042155, 746730418, 201656162, 512238163, 860004682, 621676168, 612563329, 188960352, 561690139, 795381960, 580975369, 994515448, 651406105, 806319080, 393287282, 661901674, 222246555, 390430152, 173701513, 916012551, 691757183, 325832846, 127859073, 77872131, 415439568, 950209196, 107539137, 292216862, 159134497, 262734923, 842321712, 810558124, 123338743, 228572778, 73877527, 725207314, 449781771, 126136370, 493209802, 122191830, 461055221, 927307682, 942103589, 836864296, 812494051, 480006228, 574368423, 147487189, 200368795, 397629089, 749894799, 847407093, 526401691, 825137320, 343542092, 630964770, 149337816, 487677948, 323312911, 605057304, 49685560, 658159751, 135388919, 269778034, 335019398, 915906471, 615455978, 908037049, 370613706, 292456318, 95153823, 936746655, 664101642, 134551675, 786283958, 397480237, 489957991, 883429052, 58148192, 163724705, 556646778, 487127893, 873950753, 240118459, 76709311, 488294905, 857245484, 470151377, 457636272, 460342131, 18970678, 52579061, 365270712, 30121069, 69510073, 63464735, 675868929, 519290240, 372968085, 810208216, 35902803, 354531635, 718478917, 739384972, 895309457, 122291699, 149801531, 623433839, 109100382, 913795799, 579443123, 145554883, 67064978, 454360307, 761766713, 767821127, 245084073, 639831264, 633911214, 684592466, 662829613, 168689615, 514097300, 864575192, 127492807, 569210589, 200969789, 672989948, 157298037, 260121378, 372535162, 740500173, 614399997, 209756398, 437751939, 70216461, 919377953, 636868159, 611647266, 739038802, 669791722, 634968912, 523782817, 246466077, 781550689, 857862514, 631765108, 934618139, 134911091, 499986181, 332933853, 2388202, 904314823, 101576934, 268142918, 714357650, 500498285, 789553540, 869948508, 15119601, 349671566, 460592097, 731229268, 460440625, 504433141, 410121050, 206614040, 784817524, 280328026, 990661188, 71293396, 546741534, 916159385, 467920599, 479239690, 855221442, 734003225, 900522521, 448119365, 15952230, 884236467, 720282520, 95559146, 709555077, 38023111, 425258929, 667852763, 150857760, 543192919, 216650584, 996932464, 563404211, 387183590, 376064719, 675186704, 925467917, 518477309, 25254100, 87610164, 339483852, 950492746, 687035064, 95929345, 336516408, 552108397, 872071614, 287025798, 573827221, 349418062, 861236277, 610803084, 93914624, 807727386, 511962918, 118127131, 750516545, 504773742, 698088723, 254015423, 439580051, 865594893, 369591351, 505457839, 909161793, 125802968, 648238587, 620163057, 752240302, 208371000, 554672907, 908923113, 691208646, 680150642, 982569843, 272565607, 220474013, 289257773, 831036036, 478234772, 904839538, 883351484, 243935493, 435045332, 67885304, 599614988, 567628384, 692715970, 488119562, 195687829, 477744439, 89767695, 81160738, 541503588, 742909032, 532260643, 870210219, 994344898, 236901382, 400503978, 600668952, 960241804, 340633329, 107635009, 374601728, 19393327, 862434018, 119863094, 182997012, 837858699, 717506034, 413492772, 472221080, 194991705, 744556528, 144613995, 310138987, 565571184, 858022536, 943444627, 962158673, 595049979, 179220585, 704070887, 160237233, 477085377, 255927738, 150442171, 931070496, 597470447, 671667023, 168901479, 253160229, 570515721, 192871455, 284090318, 284265096, 549682217, 388105147, 656460894, 152054205, 983987071, 703815544, 660506749, 49522211, 721887506, 552806081, 789884098, 34727658, 389788065, 145263477, 34771746, 424316757, 429357439, 150740702, 245535506, 36428018, 458168723, 71055236, 997807635, 566315912, 988530862, 336961919, 358210582, 18710980, 922935910, 902878721, 617340446, 606578348, 484678172, 582865234, 352322852, 905830887, 491155124, 823949539, 614484020, 172925175, 838013959, 381286844, 498417285, 168637181, 887345322, 735240299, 582345698, 457925687, 868846067, 656646167, 142243954, 985856185, 36975115, 888408217, 289834120, 532180922, 201476790, 944240429, 697726890, 295191773, 227467691, 415246335, 297638632, 327213240, 460072257, 804704640, 472593394, 5825417, 335831791, 127094751, 428711710, 733865156, 665863183, 56962079, 486933019, 193477510, 260518214, 693371689, 359803458, 134240304, 779384689, 291819979, 555571219, 724491118, 581141362, 261844385, 84211219, 167317494, 38122087, 101820907, 527924199, 301706713, 485473338, 448804674, 866178514, 52851903, 201837489, 654858746, 338347881, 306030046, 193840302, 825206474, 816946438, 500184743, 783368635, 372282411, 759742073, 155954716, 246143493, 378156549, 645784700, 13130991, 627619075, 699521635, 831047652, 65852125, 771587822, 178952090, 667403659, 652980654, 453771103, 240094761, 742890135, 109387330, 222371791, 313122406, 646966903, 20906564, 716551824, 712746309, 430062404, 152985948, 281788563, 695030216, 467669674, 387625563, 996126282, 978729982, 452665999, 374883679, 472541987, 375163245, 450497146, 771431170, 141092259, 96379674, 467256840, 819347245, 861041536, 859687117, 700033481, 305807697, 272812389, 172375657, 737841018, 828387192, 255937049, 421873875, 896636096, 293298864, 351918724, 823009369, 55953731, 307992016, 560729600, 539316305, 178666582, 668618692, 98646235, 610126421, 180834089, 185732298, 628776400, 924030424, 838338208, 446179012, 776193139, 821389435, 930602686, 144030460, 215201776, 664099881, 416431864, 928219177, 162510839, 136836401, 285640077, 935767895, 324206298, 656075340, 105279057, 683178869, 594496694, 450830646, 390254356, 801278184, 751808522, 580262205, 230113826, 392279339, 468242630, 480415006, 250318474, 738328138, 133753276, 346787716, 311879760, 24608894, 957240224, 781887175, 446467482, 782342386, 636650002, 644789936, 203726165, 108914381, 945758806, 317018560, 652714399, 995639220, 556220212, 880645629, 728502911, 403173639, 898360330, 56535034, 977967672, 499834858, 72542345, 778317801, 124366767, 904716141, 268348120, 370777691, 196437409, 936929688, 114016085, 843899887, 59661756, 651590314, 220929887, 792559410, 851879828, 297591720, 356730489, 233982235, 786917250, 983595690, 105738170, 788904746, 945664792, 759281859, 996372862, 143414335, 918592811, 927251733, 301828457, 63832378, 942603838, 609820644, 641729645, 877658216, 308085303, 43050301, 989325505, 15934819, 193301295, 66937268, 10406700, 514701720, 697842162, 356037918, 770808883, 340000141, 135311152, 678476857, 621616277, 226187690, 584302387, 536275848, 26418234, 204105489, 52330170, 330072895, 757760144, 898340451, 465752402, 629717625, 267542437, 445510822, 218998901, 766472016, 142066030, 316962063, 770436254, 263121718, 273736303, 163356070, 905515281, 753343710, 375442443, 437077521, 496495687, 87545072, 988067686, 600908676, 214159275, 772083458, 392151623, 973480317, 174531099, 710167308, 307951561, 757743388, 470663190, 410846582, 788292846, 271745627, 18002451, 928439910, 668691736, 780072316, 971495577, 256400373, 176247816, 651359766, 683660846, 365925120, 178875674, 194658943, 995341230, 295527486, 826522741, 498912872, 375389259, 639513611, 951567016, 685452215, 7501372, 75516535, 412257324, 31071168, 577971849, 878056383, 117854684, 367777950, 768034361, 598135814, 242688966, 456085242, 402388950, 308967038, 440046966, 321870905, 577593041, 967025720, 618747494, 619891341, 312420017, 664054596, 868750614, 57854413, 95137461, 657263347, 262349609, 650300679, 109499647, 33022647, 530333413, 957413526, 485218136, 756583954, 461718628, 616234889, 589232521, 581795370, 901894202, 461965874, 831945404, 248305563, 370366146, 678715281, 676560097, 198375040, 726530850, 613156570, 657545512, 782013588, 433818643, 936307406, 206033208, 302670108, 592493566, 969417247, 224102638, 727992868, 511428770, 572711193, 577397067, 560429238, 230104301, 234128646, 251547439, 569232598, 797971996, 996454163, 17960039, 546436037, 266654814, 813071035, 918906513, 227917633, 164724075, 444941941, 486159419, 635296456, 394137620, 12748994, 575516436, 607037501, 179863956, 410644517, 258591978, 270515835, 407157429, 7383863, 965814940, 277073772, 868191176, 689697204, 396432714, 881213179, 782935872, 977666711, 534372662, 965101574, 698052880, 438766759, 692131586, 102298656, 902724614, 64260801, 179414425, 524887537, 934106762, 288058991, 515555007, 765891082, 681756677, 565498025, 958245480, 541111469, 10117908, 154463138, 500847302, 972364, 736757617, 259041070, 116335075, 440548069, 974112818, 728313003, 421926481, 160443765, 754814050, 568410958, 173201281, 512704946, 415315751, 74236558, 623015143, 188685048, 843035726, 238928128, 935375730, 350815928, 249602418, 377139337, 571527393, 878097337, 699794163, 939215234, 810302683, 867077880, 990366976, 34807494, 307856365, 566668604, 874199905, 153461405, 201656169, 131604790, 270179035, 340429448, 676511917, 872175211, 603280808, 288881522, 187476224, 974729139, 705501975, 53210750, 624682801, 598638862, 285769585, 916760939, 895448258, 559085289, 164795977, 810468188, 821712525, 797971200, 712276098, 14319315, 684362510, 510110255, 962549472, 870909151, 775812764, 649067005, 482978253, 641987026, 178051169, 946384181, 959691768, 256284477, 64294052, 70010655, 654071670, 555612518, 284420876, 611584860, 737256549, 682138336, 291778961, 447682923, 933038065, 584879617, 252676725, 220330386, 245438584, 312526589, 242559145, 733882255, 641792782, 948371526, 38372856, 175792530, 201276868, 765661535, 321604222, 859456329, 38448978, 58579696, 526744205, 137658291, 813631234, 391090646, 765596167, 240397108, 158882040, 687158248, 717161640, 269235096, 324046669, 434245208, 369474155, 525735041, 302841995, 418208960, 843231139, 307067664, 100711599, 679899728, 824404738, 602712641, 818037532, 76958739, 367922392, 637698158, 628898164, 503061710, 788455055, 319173801, 966191683, 806209192, 510490940, 667810117, 585807097, 816347595, 134832850, 789521893, 738410717, 478206829, 202198861, 776934115, 391851233, 945990646, 610241700, 526017195, 553111094, 458614957, 159999453, 197503075, 598454310, 268982470, 13396792, 76210763, 391811495, 59331291, 961069305, 291000519, 79797649, 379321932, 458409315, 586498475, 32237156, 253544517, 604644784, 352698893, 33466460, 128397866, 84591632, 610152661, 972917197, 685982841, 407047398, 363909724, 656792838, 810787801, 934844627, 414070322, 718318649, 575142248, 555199158, 22072846, 717413314, 786622069, 719560903, 752319422, 683977399, 789890958, 475394769, 12494347, 485631847, 299655377, 35778753, 716348505, 789926672, 527126937, 837134094, 193978135, 996551003, 570101275, 7841138, 494342942, 763539421, 525314304, 464604430, 7060903, 378451175, 220324036, 569221357, 978704384, 366355658, 270561088, 702743363, 623613256, 957692098, 793947793, 721914109, 82396540, 111300969, 70598115, 649545626, 60749743, 435791196, 234664822, 730946115, 117342043, 308965253, 973235974, 407705733, 943670816, 523753183, 30871659, 41351032, 142604362, 478085188, 938149430, 127520854, 186204953, 595193115, 39680129, 538968189, 289341308, 144766491, 102017032, 640463513, 666025780, 610991562, 8130091, 400660134, 754127841, 354415124, 404291690, 527047499, 49301586, 590101458, 972449123, 279635986, 291194383, 546493927, 939066593, 429487725, 872399237, 379111725, 93384623, 226825408, 397427851, 9596322, 298212332, 912730393, 127391045, 874617259, 100923266, 685445631, 347587579, 608929452, 216192910, 233165478, 109866122, 751247412, 23215909, 586222348, 205117872, 212442112, 253421247, 194483130, 28291936, 610676862, 77107076, 774261385, 999969534, 261230857, 347196699, 704840995, 42395833, 421532537, 961732049, 680426653, 774070243, 12386817, 736377291, 41017364, 323032148, 86378664, 512043129, 903586490, 610159057, 884027401, 51947878, 345033125, 720862599, 132352106, 231416941, 663360067, 279609073, 881358442, 37603902, 136930909, 169278725, 466701515, 274388184, 586038843, 620946077, 123349186, 497883839, 192980670, 795804368, 447642062, 564248023, 562623424, 870091907, 341325877, 891860700, 285200391, 188066336, 257831411, 195896642, 770488127, 146911855, 27352784, 190301928, 857403456, 373323595, 219028788, 27517442, 666561401, 950958246, 748225693, 780552380, 458273811, 358439601, 569625165, 738609774, 922625485, 958581705, 240168183, 737837597, 322724599, 800793027, 271158434, 728745190, 779002898, 243195892, 861811306, 571460005, 355245528, 651116615, 835324683, 414041801, 344852190, 886700336, 210587788, 999140936, 624231241, 110957245, 189745894, 711900592, 712590705, 686913959, 197156072, 405180266, 782182395, 779742160, 901805061, 188068627, 880971248, 51891339, 949468190, 485129883, 536192571, 656637463, 388133304, 925709740, 581303741, 218502684, 306765802, 69438499, 956069316, 506741836, 874728415, 485669893, 492784528, 479320785, 512064430, 21181732, 844800469, 778196692, 71155907, 814985890, 112133683, 863887248, 580161477, 187355586, 801113862, 590430279, 587005539, 25017876, 722036450, 777931451, 26265377, 487508416, 141029643, 484448533, 633759770, 677199394, 528916331, 603627912, 135710241, 572969117, 164856741, 262070882, 587535607, 266156223, 136275256, 973313797, 601214211, 955160138, 944591574, 134765261, 712073531, 888054435, 629141366, 291948342, 3472831, 529505077, 990092347, 258153046, 880594210, 554422360, 609017993, 441823940, 730361783, 638082907, 22982479, 388808421, 190075276, 623194197, 476647879, 51977957, 801917972, 259294178, 635975932, 225994177, 812751613, 73511054, 10384748, 321215716, 882737611, 9462059, 882961369, 609820269, 774763331, 595347323, 366791043, 167472883, 613015495, 603881869, 610339813, 147615465, 44589835, 730040366, 63074094, 470020303, 130902770, 402810439, 592346839, 504327990, 497705397, 879838371, 784745953, 405040745, 28531228, 625884273, 202403950, 35373710, 740178684, 477180456, 968802961, 364043969, 516847113, 85592324, 707527799, 706751410, 901481868, 72522841, 639974341, 788906206, 615794925, 8880624, 833961207, 946452682, 323621443, 703860596, 741598891, 155987152, 383232499, 291692448, 334527017, 311657264, 928134642, 538465429, 146179557, 505546368, 450125862, 933122707, 640359806, 204099097, 233820497, 24862116, 181687639, 45355096, 950419730, 405629676, 170976257, 588899275, 883529247, 22344905, 996820236, 283906693, 492578350, 164042544, 905730439, 462138497, 937745914, 126694129, 189191329, 661929751, 914972532, 478786998, 722778654, 125466743, 569487467, 529646018, 270815378, 983264373, 209995394, 459672602, 254581458, 829478238, 725500828, 356886710, 383225336, 403567727, 791770486, 107430562, 820507011, 599524720, 363368664, 486972586, 212797959, 243584123, 297182616, 347268338, 369623847, 308809369, 269612079, 320750987, 502543402, 43953442, 249941011, 949751701, 348695351, 906451067, 473153203, 776299366, 963824407, 896678266, 163165562, 961786505, 191899485, 63842725, 353798124, 860138338, 70813271, 649126846, 718135785, 531173832, 376551, 375388868, 439609514, 338387113, 575352627, 901901833, 853967432, 688025479, 132711550, 215189888, 800185032, 567106499, 779909380, 123924753, 676455212, 176304453, 870512254, 583193978, 76466762, 888295234, 382442413, 716162238, 8610800, 477368696, 286768668, 437527221, 265420282, 811616477, 324637747, 137264749, 893145168, 496074256, 420940472, 849301008, 136286701, 813834949, 503816593, 755016220, 539673923, 885909682, 85932578, 639096227, 214355545, 994187065, 241608691, 471646715, 887931715, 470408284, 185697376, 374616998, 718492062, 473510154, 578272650, 999834361, 896719494, 856168819, 45061071, 247323494, 248897060, 211924520, 183071433, 987944833, 844477146, 84739747, 574423453, 271687006, 809815658, 402583453, 633161532, 563706336, 615353141, 828261862, 550571968, 758189436, 227886391, 275193455, 100157889, 778234003, 748322611, 724434762, 458540265, 798725580, 592345040, 910984644, 619572359, 367413960, 330597467, 986866851, 871559106, 907416455, 762622571, 822177498, 631798314, 874668925, 839735475, 820983193, 751873995, 269478987, 322073278, 349271861, 270339518, 325293065, 602274046, 395997911, 407865489, 262424590, 215529374, 390488705, 806019090, 741628096, 782694749, 222749744, 369122762, 475119304, 807637095, 137338104, 418509382, 109721406, 839161715, 245503790, 913316106, 529696445, 160987381, 755174540, 664403805, 506677552, 921650837, 323108565, 417411536, 647363506, 274143311, 750056862, 790001962, 968486564, 605237584, 102201993, 809713536, 164437053, 687417500, 849557812, 545948846, 678674703, 278932401, 6918092, 579005667, 349352875, 565838776, 377763224, 606559358, 78437169, 457921675, 248888513, 386936840, 983443110, 4063754, 727850861, 278372235, 912638489, 551743408, 20090741, 966613824, 855539993, 614145159, 876488463, 824553596, 656569962, 66120889, 733870574, 973782071, 691101542, 559761376, 596296428, 579553544, 867700646, 862196586, 217016089, 815891058, 158523224, 937155725, 794887485, 364154557, 692352489, 396378187, 835099487, 838454049, 735284630, 496770360, 649907842, 31320500, 612841464, 675910987, 50205885, 73821948, 878630162, 532091273, 787743725, 471166935, 390643971, 536918634, 411733067, 635778281, 881441675, 222902532, 617000848, 23490124, 776065500, 538150313, 496212149, 698435592, 358665540, 960913113, 673925250, 603544474, 4959572, 366065473, 657489679, 626026794, 359296739, 462539298, 195345863, 355189878, 361875357, 804099352, 759320339, 792900014, 553507191, 352819975, 880938990, 725076051, 488976734, 27918088, 197614676, 33200102, 763176346, 363935980, 753448034, 594262111, 60828043, 728062780, 438258859, 346510882, 359708307, 915349300, 790814739, 587160083, 512078790, 537513663, 144979537, 865505725, 878259433, 819173934, 306040556, 551699463, 110634356, 935907812, 476626573, 728135428, 153018477, 859851371, 444175863, 456520545, 731372377, 100667793, 764970082, 847779225, 39232627, 916386408, 142170074, 752433909, 946888749, 589967451, 380629639, 262068888, 562366262, 899134921, 734854276, 47203343, 33235758, 701033083, 583692261, 518738374, 821771661, 170917934, 475545632, 10827000, 83903728, 827000744, 388224923, 378881512, 260075729, 312407158, 850791856, 356982719, 926314462, 682546344, 594933921, 183432962, 542634264, 293182604, 520623716, 661155513, 847860552, 60064434, 129648037, 883095294, 840151409, 717185097, 438085026, 640716462, 338701108, 724760554, 221236683, 49975012, 209980906, 964320310, 537281855, 300657539, 705599867, 576214468, 858008059, 684837178, 431890950, 266242056, 791077066, 86139474, 968547166, 93929277, 73903026, 873247058, 211237509, 948933633, 97313275, 156471471, 156195812, 533065676, 879025855, 765442455, 75263811, 14917530, 598880435, 309578866, 876875368, 518086493, 360445225, 372725387, 355995964, 167308009, 816380100, 410226415, 545975741, 11596662, 754688063, 982339790, 413870145, 122185786, 210618131, 917576896, 403537201, 342406270, 344037789, 947027171, 139222145, 399928314, 567933579, 372937876, 491944441, 350754469, 861838337, 505698952, 974688904, 507321266, 469916161, 710960626, 377437695, 997601050, 458217160, 467505678, 548080703, 652264870, 709472447, 240570054, 555730989, 716700229, 456345140, 558160065, 54225921, 560393536, 266233377, 844953830, 657944231, 566473576, 786832050, 465773208, 347584768, 814899933, 270184789, 159854693, 70924549, 964037299, 788370007, 825939974, 891372560, 848075490, 719105910, 691158970, 273157599, 915184192, 395831323, 213871679, 515297307, 815337133, 22951905, 107496558, 222208598, 510848518, 539467548, 291158711, 736664142, 314038330, 653072699, 996495000, 391521727, 327934919, 702709827, 571828044, 277946990, 84960961, 896648388, 931974867, 863797388, 12210923, 812497240, 105032477, 89985007, 78564304, 556762055, 138510167, 139536656, 923741819, 221615960, 707365849, 626596303, 846641, 210064003, 627169362, 911970605, 216570752, 693902578, 416042938, 209751607, 269737997, 852295719, 412749144, 275090529, 859435303, 38991556, 991294061, 492852639, 389595239, 366278485, 797300397, 561854198, 67966987, 456971379, 752703864, 890746112, 584609144, 807186312, 745104189, 617969324, 872052726, 253997476, 813919479, 868790462, 689886206, 572389277, 208755844, 994011150, 727636506, 278499944, 851347836, 167044299, 293734898, 956825263, 714523021, 783585574, 655831720, 106212024, 974754339, 308900102, 532350812, 526602021, 213984817, 921553945, 532106960, 599972247, 700016153, 308885342, 468173839, 812912256, 59583811, 334290120, 350684217, 196983789, 748707075, 912255904, 15443246, 937971092, 822428490, 859810106, 978565902, 770573356, 722999925, 971196807, 116314098, 31802479, 283006767, 96699880, 673863742, 698642333, 339733510, 131739668, 341748502, 545782183, 276600793, 959694456, 139212043, 649379470, 971902479, 580700004, 440517362, 47768160, 227695320, 853452964, 113510686, 38563739, 216683081, 643929684, 285518142, 562912655, 703139411, 366601261, 901936887, 703303693, 995603991, 45710680, 171039452, 838501261, 469514072, 486468899, 676101921, 280213057, 348567783, 4079998, 434969673, 305152566, 639148785, 486603449, 792126552, 382195620, 7319566, 74267223, 896452444, 251361974, 141089098, 696671065, 855680031, 976196970, 666842442, 638533162, 851484296, 869838328, 331217719, 959112626, 249799191, 673230230, 207203896, 63412688, 48607119, 410801296, 785609729, 912671797, 129782268, 25720480, 598056530, 806446463, 709797179, 886839954, 804920990, 2754095, 620221783, 292448301, 100767824, 33747730, 666182562, 700799054, 685715281, 606431223, 519931824, 826834483, 285052414, 92740613, 821755514, 808526209, 649777757, 84364030, 714919204, 965136805, 744753136, 122848413, 68524566, 299937457, 196650818, 515513830, 291937389, 586091769, 762410349, 668542901, 711877741, 699478732, 612076786, 786759108, 993783726, 740834952, 519112668, 184107406, 320294546, 257250095, 878952113, 105865000, 921152926, 825990301, 373452043, 284667329, 660768553, 96347146, 242580370, 892736978, 854049911, 55832872, 738805178, 999131027, 478464729, 973247015, 409303979, 537477462, 94133910, 26199849, 411598243, 855131236, 470280769, 394937156, 12704950, 63556812, 351581766, 769921056, 539880776, 636907560, 4821151, 311090772, 725817535, 481778787, 469580583, 544360258, 132466360, 331305815, 115080132, 188270412, 113721961, 163864476, 757926961, 331231551, 439128171, 425916308, 435549166, 529618696, 320059222, 851648305, 403737998, 877563729, 507895691, 152774399, 714367909, 182875281, 400263381, 946294726, 140818999, 170170842, 50269688, 719131833, 663913074, 68338545, 435462774, 618023833, 402581508, 505603739, 251836078, 923265683, 999822786, 348717869, 917555223, 372614190, 481756372, 637037413, 387095292, 97913949, 38491465, 407883443, 398674811, 403136150, 577739117, 225819343, 635279345, 353400944, 78091574, 29184080, 756238123, 518780154, 811104105, 562117039, 869133267, 533011326, 604439510, 273988040, 697134195, 886752860, 782226300, 661864060, 876678632, 842626109, 201623563, 512682538, 376472913, 666048515, 682763874, 812947994, 878374994, 754693877, 337492642, 934159197, 666191250, 113664860, 337489437, 763011534, 776088717, 276878739, 33999622, 174516056, 323119595, 101920265, 223904764, 67770313, 346483968, 207216866, 87467065, 605507897, 377369155, 787536791, 950155217, 315901113, 437346158, 644312127, 312022347, 445472361, 252822649, 417335901, 214344964, 425563225, 511401058, 839864888, 492066899, 110832418, 569941128, 423699003, 505674320, 479989995, 15448009, 751831208, 442146097, 46305793, 282361372, 605560672, 992619680, 8790253, 235156179, 75887068, 742199433, 918454676, 326772474, 613706758, 883650319, 646959262, 787036225, 844989357, 960303767, 133626961, 220205778, 371372871, 172835284, 677532641, 105538284, 387972456, 976171180, 988442753, 159883071, 933210879, 51913104, 875456011, 885254378, 116717762, 311929673, 598736631, 714071059, 394792736, 189835722, 859946094, 955517484, 567430702, 603976507, 474477093, 88981945, 982643699, 4672762, 995784080, 222286788, 766744098, 119597245, 256842706, 862253875, 670399767, 873633816, 545033465, 31779959, 529352301, 359192945, 688651050, 759655278, 362679416, 487365671, 317909358, 961086252, 235550135, 295182377, 863276550, 71541398, 385840959, 306965088, 63317983, 551548694, 595576502, 929511297, 143513523, 560374794, 840040880, 184002173, 56128326, 327737922, 446348909, 849995709, 665794467, 394549856, 666121013, 117260902, 329659928, 563985786, 138080886, 824943509, 304845476, 660901139, 811478520, 176757366, 618032086, 292708041, 521156851, 969131643, 783019939, 96005987, 226011296, 9155534, 419584844, 438076874, 153038377, 736575732, 160157331, 582305655, 764187908, 559595917, 733263173, 147469999, 534729470, 175870344, 581706332, 31407639, 737149590, 812950356, 63705689, 498732263, 942213672, 138613776, 147425592, 329046423, 379507102, 746623477, 205755272, 684775241, 340387201, 770549575, 767423163, 565950324, 389093325, 993408069, 612414817, 318815464, 208818707, 876666783, 648950819, 182086737, 89575221, 125786028, 800627706, 54182401, 767363951, 184995281, 24293548, 448913715, 399640729, 108656654, 526127648, 556845867, 11282769, 493970231, 365810476, 308677129, 993497328, 944383658, 942011531, 864234230, 404866642, 210767025, 225072958, 991022563, 788316711, 562421437, 831689009, 253084075, 4555766, 523353082, 253695448, 267349651, 330492246, 914810366, 71209315, 872565141, 328750605, 553752543, 976380244, 526991670, 143092931, 251014484, 342518217, 125295154, 654427442, 511119600, 460453245, 82717411, 896619656, 213626802, 764362914, 710743680, 961615757, 464785104, 132433702, 794579890, 188135697, 168316432, 757736042, 738555150, 131164039, 693056475, 306641329, 643558023, 987291572, 138042905, 590497194, 677132863, 230789332, 206940626, 768479144, 937111229, 306931555, 330765231, 59976762, 317688534, 278877002, 673178186, 455359187, 590397471, 150252162, 7831118, 605225676, 334803871, 876946581, 450021354, 219501320, 554359138, 717448378, 328813999, 848316579, 676187984, 756501199, 719563236, 194517457, 293069158, 23650785, 973241055, 914665615, 255127063, 411662607, 333547431, 157515123, 67399595, 229641175, 287475249, 461357938, 960672790, 218088253, 212957257, 599881906, 823041642, 242687108, 330692695, 863338848, 780464024, 984105034, 503286716, 333698825, 214924562, 702018166, 158502303, 517975303, 418858238, 369000869, 668223521, 595306717, 226405167, 970234187, 142200758, 741811193, 422011562, 338962407, 735909941, 704704395, 151248053, 911812613, 498805001, 273010992, 367883707, 255612294, 364299286, 423538754, 974484870, 318963887, 858815964, 311808432, 295657925, 301439654, 655760000, 641118082, 231997553, 115785071, 784720052, 176189388, 662558970, 672451012, 437556258, 885818501, 274060624, 501912870, 548700662, 844231988, 383046448, 995838821, 516901425, 765314321, 45937700, 717459685, 418688507, 825923604, 797795246, 107378783, 900147599, 79585847, 613115569, 461171792, 381465177, 395491030, 630588457, 997637140, 281968763, 175187083, 626511030, 196070666, 686529269, 205678675, 32323479, 567954883, 561326924, 528996461, 874427185, 652637279, 79254490, 188500783, 860014879, 958962076, 68934893, 229244688, 826580198, 15592540, 881521586, 8984295, 445299760, 282220266, 559544769, 518601731, 521945886, 426079554, 927764364, 152795834, 668371735, 119508006, 83788470, 132317993, 478725017, 85094505, 953046411, 746644289, 482623018, 676652072, 705761975, 497207426, 597473768, 711570428, 658596893, 708307213, 836999630, 705563100, 243746263, 147766240, 792684972, 813524214, 953063157, 269270260, 795455942, 772757748, 48641015, 516115979, 847600803, 377477207, 717718098, 671350818, 122534310, 962812318, 369744883, 852982630, 363168652, 393859648, 5509414, 725940647, 790909575, 803157461, 37103540, 226146560, 486889733, 125323459, 741022252, 516509770, 174354246, 381145783, 673679021, 314491062, 369255021, 530632681, 745303096, 839163887, 225083963, 53845047, 333873981, 819806364, 312804930, 231399892, 897145085, 547473991, 388301132, 531496549, 799346566, 63230990, 428493445, 729306163, 884595612, 172287890, 298753505, 722859934, 778637079, 704585127, 501200133, 490096595, 639537497, 733981400, 715610865, 226270154, 693600825, 280207702, 21665100, 726135415, 864704909, 280622911, 573189685, 829750085, 526950147, 133758849, 103398289, 446526685, 320659958, 923417287, 910416745, 2774804, 214833185, 113515060, 27439599, 475423287, 113886584, 198228096, 419352523, 416904595, 895166959, 351677316, 524620439, 695429652, 379472910, 269032851, 702773717, 97926391, 425053419, 746179303, 587005599, 255079370, 944325227, 540726867, 693744002, 909987355, 411048237, 254180465, 694051622, 728147556, 823185264, 41181497, 705102416, 632432010, 143628768, 685486548, 122401526, 992271099, 112074300, 781454918, 350411293, 83652950, 443107100, 121603557, 699383372, 525300958, 312297366, 953085848, 863494528, 943118806, 320720579, 973764389, 188778446, 619870529, 549441636, 55016496, 997034462, 482472114, 146304099, 92677793, 496147315, 837438660, 484172099, 185446036, 810324844, 892431164, 503308430, 588161243, 548847707, 948720549, 229380850, 885513530, 633252580, 590869059, 430577066, 593597268, 363606311, 480784146, 709537735, 410119907, 952851057, 575369061, 481863844, 374404189, 600603335, 89258047, 550601314, 850169213, 33427637, 600336493, 783563755, 474814473, 239919447, 896811562, 567159407, 180058166, 926318362, 592581549, 130423912, 682929618, 383921878, 75302368, 175875569, 266775133, 871889617, 248320773, 61672667, 295366164, 369760337, 588746476, 257409150, 57774210, 310566013, 189513619, 639648425, 268855558, 658392890, 384694261, 608496104, 38307741, 379073787, 194800450, 570148627, 44073480, 326775284, 300019584, 417684464, 439353244, 994363867, 293323217, 545047441, 223765773, 737970641, 26364581, 523601477, 775676507, 284465174, 999937562, 226470458, 122130382, 623834719, 386469727, 140106320, 997437587, 44470756, 235159326, 387806051, 91999373, 111967406, 892882023, 891038089, 194082042, 248162319, 738202678, 803449095, 300275580, 917334514, 318571309, 11067579, 273973771, 7778693, 769233552, 409819160, 228530372, 757269050, 465749000, 194394583, 442974036, 379176647, 553362305, 28679814, 368616016, 990357690, 347882475, 226945833, 364456847, 371848476, 317920082, 782856875, 476543678, 915949156, 986584200, 542947392, 965004340, 803644522, 919783055, 993403048, 73762196, 776790852, 926328899, 830597370, 774367212, 94152712, 9210042, 433814831, 40225957, 968165812, 487336188, 907840883, 885931161, 354400999, 985212614, 418199566, 900265838, 642149262, 103555583, 46497210, 599421683, 714105323, 796500339, 446980473, 855552989, 641246639, 173180807, 370208248, 387666465, 802396743, 302139536, 513221846, 15630988, 863620847, 545356493, 44525988, 746475254, 106229667, 420828135, 757123985, 857492182, 952496679, 161880718, 573795078, 182241927, 695441287, 990924944, 169366860, 663397280, 137679160, 316519941, 518766992, 270932403, 90378789, 678670794, 727684729, 396749272, 181113184, 118323329, 697233815, 737613471, 81058359, 462575088, 452628347, 503638720, 310806586, 436967111, 876207731, 844723443, 390152911, 807419853, 405883143, 411663147, 721270814, 430493514, 24343714, 865536840, 64555215, 860650888, 945164870, 2720959, 312828090, 568559199, 732559882, 20822479, 63927261, 847120586, 472941584, 981659648, 211074673, 315578500, 784307682, 834869734, 815164525, 913993554, 583533488, 556398271, 260150506, 892584147, 957997106, 222943457, 11927161, 977429913, 395939333, 436635312, 20917574, 123386309, 490167761, 863623792, 882755007, 130194285, 202288306, 178207677, 686525689, 822607927, 8133674, 572039493, 545101473, 61615512, 761416750, 271328616, 467981999, 864850589, 33208149, 306799482, 507788622, 234233829, 757243321, 91088181, 129180632, 725627143, 826049384, 334064371, 64712360, 578046951, 844640913, 648374111, 59780041, 529305139, 60073777, 259042929, 149311122, 655864759, 934306261, 356024558, 319674157, 186081142, 415493718, 21585018, 400487257, 70941995, 557854522, 266552932, 94722602, 779316998, 628986838, 39166078, 926118563, 220048867, 530888157, 225465931, 352817318, 652169191, 82368958, 24013479, 84412998, 561097752, 507389500, 991984981, 775765505, 458048028, 948326856, 727891682, 452164448, 410431161, 601306250, 498425941, 406824516, 287136374, 4065486, 570336637, 783153553, 653059435, 144767272, 117348323, 912284837, 966672962, 112749333, 810463283, 88986145, 647233700, 751092668, 675686255, 737325229, 763491790, 410563701, 653769647, 756650826, 869417631, 533570246, 621024307, 101221913, 798629465, 800304543, 27129210, 325982142, 734358841, 123458221, 505387384, 47962002, 954900617, 829706439, 267656728, 761471545, 126962153, 276504903, 73206328, 480752117, 734057964, 682511314, 707691086, 513851640, 622848554, 808690529, 861718802, 839917220, 969856363, 993146342, 496105875, 252355034, 993502530, 737227128, 15143444, 606579614, 534860138, 454023870, 595947392, 829000635, 843686017, 731599880, 88939077, 467654711, 127630988, 350312755, 601967802, 97393114, 400571239, 352616975, 542370201, 703446718, 300478932, 572733627, 934880095, 120000520, 502527056, 645539731, 624211535, 636190024, 805318227, 430637917, 875816828, 701226902, 278391620, 193622805, 414594389, 480921965, 155969988, 948307018, 833802462, 37656550, 534776976, 113653705, 295229486, 776339318, 395418750, 882886808, 729980775, 703778930, 13724585, 680660998, 931610295, 71021575, 250809298, 217483323, 248262216, 551356857, 536861130, 55267817, 537827318, 570911128, 286745233, 282624739, 905620052, 709416881, 935233287, 473906786, 367790645, 695255321, 383493659, 834440891, 89625448, 102878443, 582777883, 49304641, 490999497, 392351778, 11894370, 980408328, 165553224, 182842134, 961840826, 140146407, 120313054, 848017614, 687923003, 422023464, 878209942, 2769943, 1766028, 249718926, 990130836, 69207214, 539273022, 820091329, 834654324, 330710744, 677029111, 326468388, 512832726, 346895817, 215884219, 237033546, 972684946, 37761498, 258081861, 37740117, 47794371, 613678551, 177930103, 652522955, 134819081, 225079899, 4809048, 308957511, 101526192, 32818356, 581638000, 409519726, 855120794, 934507490, 242228346, 614609769, 483639142, 455392501, 176074851, 725759663, 666170013, 98785587, 967379221, 784122314, 445637175, 683825852, 666734503, 850985281, 801067138, 39211581, 462803606, 65591743, 874419627, 808507425, 521587806, 946096027, 565968967, 680333938, 6864633, 120325066, 137247593, 499908282, 397385449, 285396434, 485746337, 487845712, 778342604, 334400494, 784464098, 758433617, 458518671, 805424884, 159941429, 970222267, 836169701, 464169997, 952753586, 763231971, 653475660, 766366420, 951832681, 919453263, 493210280, 606992708, 447972254, 305969600, 675638147, 721740410, 873908893, 695967912, 308354116, 767390005, 392502069, 473155221, 965413583, 687277870, 23038315, 534999093, 542567275, 799659087, 231163995, 205093127, 30018822, 550186300, 23366389, 463379960, 81716872, 455290643, 137946304, 761949869, 769087415, 165389343, 738695224, 263003108, 947588561, 880834637, 153285946, 527180086, 112708418, 775511096, 813008890, 699266831, 167206283, 621315757, 990049771, 922098298, 164595706, 737957403, 331051488, 31969303, 638341940, 696489443, 370796197, 268865905, 902080576, 731074380, 54991287, 697144386, 851286387, 447120651, 231516007, 347836430, 919873569, 335339419, 92199506, 495109374, 101529686, 420869469, 88288954, 750004624, 231606357, 272473238, 853684780, 19661124, 414738889, 300326238, 405962189, 134746369, 875575150, 10660060, 880998108, 75555714, 958365924, 506485484, 274943549, 839091815, 255948682, 213140836, 79382250, 254623797, 368427476, 8974237, 799414820, 769659576, 895541091, 45041762, 221683177, 855644499, 459513751, 169087417, 373790404, 91401149, 600146641, 357858955, 525786182, 716297094, 615704037, 822923297, 420304957, 547849722, 204783207, 389779180, 484219472, 675110924, 121831266, 379494838, 420758530, 18881439, 592334727, 419393073, 864175089, 530131608, 922039031, 24280458, 848566342, 747700528, 911330309, 742872243, 520411171, 164667407, 434203253, 215401177, 759496974, 376656847, 584455901, 551480564, 205341919, 120530247, 814037550, 149730787, 944836678, 863452867, 742648620, 505717176, 596522339, 66088190, 963093300, 447284858, 432425327, 143398237, 606475325, 104109108, 969142509, 414536400, 324898646, 851411514, 497311198, 259629141, 780627408, 1909915, 662230901, 696407787, 220603254, 479622739, 891463842, 847297007, 395090129, 75903537, 651958547, 922414329, 321668793, 686813549, 280564504, 352024707, 440549924, 516904474, 724857036, 170957567, 476651191, 508398817, 576688146, 943523273, 11746091, 513710746, 359188318, 217503521, 523726063, 894701604, 749593543, 488040162, 282699727, 330211631, 438623529, 167982367, 87651605, 851357296, 546612581, 693775777, 474861418, 187935321, 907700928, 308895804, 642401441, 674420043, 983114993, 471544237, 640279443, 680421308, 589839286, 707010122, 765218124, 826237095, 524057781, 896350341, 162149681, 882749381, 73864903, 195801114, 110615316, 897264328, 745067112, 657537392, 560852266, 634337794, 337560761, 893579611, 368188036, 300182832, 641421337, 697016721, 941767281, 241220988, 515766449, 247070679, 329698837, 592286686, 104348197, 546227361, 634155051, 190116580, 813943111, 639902950, 868531112, 178021378, 2448280, 354904906, 804782883, 863690283, 343318360, 381654563, 504082070, 91902746, 123148687, 540951000, 630424881, 298663486, 591749666, 227645676, 690211186, 675834125, 877462241, 618069862, 161378001, 116296658, 543019483, 848816987, 424345466, 874893247, 379509284, 603480898, 802238757, 601823565, 752595555, 550713120, 637674732, 843784323, 742176862, 712179511, 283406199, 47948563, 674533945, 641600929, 772053066, 380257605, 284019266, 831604921, 456904246, 784735856, 571475525, 824173751, 792991498, 190537707, 272635303, 973320650, 283472404, 388861769, 370326799, 934049608, 301148831, 566105445, 351830806, 800391609, 310274634, 338338236, 23844802, 79990543, 52698991, 196927988, 702995024, 507010711, 693143364, 502752195, 836814330, 56696225, 400550063, 637616091, 179544174, 817741074, 759434773, 580666903, 293174662, 407469608, 51310453, 648846915, 659313551, 135017288, 267882643, 393484292, 857911933, 776428996, 299407667, 60948276, 924612038, 41804827, 670287755, 344388249, 505838339, 551803989, 826211050, 908755949, 448515952, 903953241, 756564178, 902949296, 883806580, 687260726, 213650934, 849181416, 604526745, 591191644, 572852655, 293025530, 136346898, 713776235, 154384447, 284548878, 843940035, 366946564, 415403598, 958827073, 997052400, 989794300, 773225865, 852768823, 595164725, 19152157, 889512700, 166163264, 25512221, 223515806, 169621595, 537337393, 313305329, 145114193, 328910071, 334699929, 798455684, 642150574, 413642078, 442604319, 990795298, 239023427, 425729731, 685718686, 272439018, 423771334, 377768400, 396497290, 446360628, 427756252, 790204582, 746511141, 936361879, 265236016, 116412745, 649124670, 710948965, 721631433, 490255544, 777872555, 898019819, 402859363, 500387538, 958123638, 463980439, 871487053, 136092929, 517622780, 304855921, 300593628, 708381587, 994671704, 988234501, 167138683, 1179255, 20854996, 232888751, 375657682, 542158955, 238145782, 817363739, 391328612, 823445815, 663406329, 955990594, 742481676, 457670654, 484902679, 501951815, 744344745, 397590930, 626509452, 417428563, 527257343, 552592557, 303621882, 6076450, 583849499, 457693551, 610819310, 580913565, 824468582, 550177748, 357623750, 317382870, 467366992, 777992700, 329539640, 287954426, 833292636, 127870171, 495122481, 740468222, 155146511, 676781797, 781706134, 204942367, 478370581, 280420376, 379932078, 890316968, 927421962, 906620313, 944940125, 293721997, 355603907, 942436763, 626144028, 19847359, 977880193, 880713753, 15647815, 999209718, 582115954, 173069346, 195006436, 244431226, 477109681, 72544408, 305296504, 952529038, 939462317, 101868540, 345069048, 660429392, 127425877, 248557860, 137213817, 641789160, 763061731, 865107577, 89387784, 878983574, 847286802, 893106399, 437437034, 650821692, 498106134, 31245637, 551489736, 992758659, 212139721, 230306804, 31960949, 622465855, 500503388, 352210238, 133051508, 324555984, 890136870, 508273031, 408930764, 477200699, 984043459, 323331882, 328685538, 198514383, 765127071, 968994572, 725917927, 467404717, 406549776, 310646654, 839249931, 85875958, 937590786, 520682692, 733644112, 479673111, 770290703, 185211688, 991789307, 466328798, 89522200, 768258648, 628337631, 881746144, 14306613, 690076360, 341729436, 94453669, 867485922, 615769893, 821430188, 385952105, 441002266, 651360109, 814401444, 317273371, 564932610, 9904579, 636164812, 25615686, 875653400, 580902448, 935284196, 572466500, 47999693, 528401066, 855324784, 431626156, 817202204, 514095597, 910827885, 918314679, 823170751, 694234807, 720910491, 249560667, 522303565, 561817999, 960685595, 855252438, 678052111, 860917951, 502261189, 238390129, 155704571, 454279051, 119093341, 864614103, 97222966, 571846938, 810556604, 279402942, 912171467, 230509960, 526208012, 369913871, 125045390, 760793005, 137086787, 571818670, 806974348, 385397841, 503521973, 387083047, 381272921, 938512996, 409128060, 854959831, 876940771, 593513045, 233599865, 854815404, 435059498, 813650105, 971638861, 901723598, 118541747, 77437649, 371805533, 679297158, 638122463, 648723168, 995745103, 560056710, 182170648, 557442012, 934884204, 724264539, 970467346, 468130245, 835854841, 865719074, 260951243, 509544356, 590600546, 733332866, 548285835, 910736513, 84776589, 62358096, 306530121, 628467337, 239605295, 687483537, 610703735, 786586042, 525290048, 294182103, 942080977, 840571418, 139439877, 33688697, 870049565, 206001236, 198189030, 961484305, 367564080, 12835874, 288475999, 793451322, 995502312, 264237994, 625376527, 227858208, 993168449, 449983177, 826104910, 710164359, 707669920, 518085462, 884336555, 638129314, 397826958, 594658354, 928662744, 618383946, 150541168, 26962846, 510537985, 16069100, 62301131, 514036619, 476465911, 943096391, 764722841, 798453292, 548829542, 68109785, 143301770, 731801154, 762742634, 735940665, 642042090, 597783996, 647814934, 752296191, 834262498, 877308013, 761342004, 368675859, 291536391, 494832052, 628768304, 727852766, 162663591, 654764636, 69873666, 78662978, 878252023, 51636135, 441401046, 361282855, 738983715, 895988464, 687045536, 381985180, 567957065, 759777637, 29023851, 439002304, 499762587, 34467163, 220579639, 763651762, 297286693, 942102078, 502445897, 156628071, 259537400, 524949388, 552082426, 732484205, 96568926, 926150953, 771014713, 709877763, 268834444, 50622949, 105528737, 602645414, 270026629, 363070916, 184885664, 196947132, 995422201, 409555980, 563326400, 615250596, 884349866, 55273276, 570114204, 708639151, 301617528, 361919408, 877761999, 485488199, 842780476, 354098388, 608327575, 7948085, 46905170, 552859770, 603940406, 245542218, 861058514, 815998066, 739445600, 335174988, 773725473, 627671940, 715983866, 677643406, 357027295, 996134379, 988529640, 778127967, 303111444, 997480693, 568034243, 818862023, 716296176, 8981061, 338899256, 768929532, 196985722, 256017845, 52211725, 295206094, 547165570, 566040167, 503803421, 38772505, 746121643, 368874696, 228927971, 683395165, 397329475, 872180635, 352460027, 52034686, 45070067, 862285100, 115395310, 634246436, 944832606, 712814127, 733833066, 470578886, 126987865, 238794888, 561922379, 407957982, 709695573, 194249951, 558831115, 919319431, 711876868, 895947690, 600835116, 5322988, 771669746, 108946135, 768789529, 934811615, 224434828, 675015152, 695905477, 158667252, 851556294, 727562378, 357200808, 779272218, 48693648, 833159280, 955183319, 260133758, 962127052, 245634628, 65063354, 715524785, 535640058, 365946214, 511763100, 789635766, 955254848, 270795199, 279525540, 34671354, 317180112, 463498051, 956222368, 126848066, 890613616, 746896027, 74709088, 889609898, 213811320, 921153176, 829892199, 25774578, 845016611, 755418628, 774366573, 897439926, 999428903, 599669258, 533488962, 134638949, 72295042, 846672132, 990439904, 277414610, 41841888, 882698041, 593502213, 887537486, 808125854, 295701474, 133020999, 48934516, 550210917, 741983553, 832064355, 128786693, 309774374, 475631480, 702556187, 82363731, 930160411, 464675278, 180458193, 669718794, 841857873, 854568131, 311504245, 46352171, 960994082, 912301090, 933537118, 36766416, 559374834, 291144027, 527290442, 756746865, 885803846, 65420366, 396986543, 893570454, 390077065, 607007079, 65611102, 342751071, 743106660, 845318831, 943040030, 538457020, 638291882, 325448626, 77277750, 984708381, 932058524, 720262387, 290178811, 121196777, 753441669, 199200141, 102188144, 201013307, 661347561, 854964016, 450620788, 449753326, 667452744, 100396848, 562249432, 646785167, 656846402, 945635932, 755476019, 595518649, 196766672, 704706081, 403232144, 728070619, 417534391, 604362616, 621011318, 298129831, 514768341, 324504756, 334204456, 908382228, 345896243, 681892937, 96725372, 28288478, 342786790, 100397862, 162655675, 641416292, 562959825, 825509928, 119556579, 372127030, 603959717, 996001552, 899812761, 254851180, 948148529, 641895253, 859743947, 198958135, 80355490, 605245603, 240513236, 561444151, 843384186, 279483816, 253933672, 78246128, 93711938, 838578905, 454021772, 66762912, 375577217, 630141134, 762731116, 204519107, 397220208, 331094898, 133518572, 292311009, 484583812, 826186558, 488721327, 661286417, 415474043, 63303186, 522908785, 69186072, 682719510, 998059750, 635525962, 511348349, 879627507, 236199437, 333331490, 348610128, 149110213, 684697173, 672248348, 146213189, 219857943, 530518287, 195171667, 948094442, 700656302, 170718530, 871470955, 688340224, 807928588, 617491667, 417113343, 746350863, 264813895, 758717987, 673937914, 894092010, 541353395, 58143360, 56557908, 697381065, 784953818, 583885161, 930338439, 752341986, 601298064, 39040913, 951768657, 938184116, 916150756, 720518849, 674392398, 39202618, 498614716, 837685014, 196882292, 937030580, 477486626, 848752837, 981723699, 795491108, 607295469, 556932478, 763713445, 340015113, 388586161, 958938279, 535430207, 254613699, 525829856, 496723323, 646256470, 91393119, 419285612, 794970929, 751057707, 145509369, 929210836, 360169722, 767901502, 68402804, 250243135, 327150889, 784370983, 955474392, 27652690, 587923691, 927009113, 352205253, 803056685, 422280206, 407348044, 956338869, 897536983, 327030657, 406725055, 103338775, 761523793, 648057883, 386379252, 920414609, 362055411, 840484549, 655893508, 761232802, 139633001, 685604954, 453668255, 211407301, 795084832, 833724703, 980624027, 929768624, 773211528, 821933096, 735034689, 938664953, 437342674, 505114605, 676900479, 545316816, 971720771, 376925451, 546493700, 822166138, 231335860, 997324937, 51089353, 710787365, 783290858, 29102606, 553151824, 326590362, 131082025, 434247805, 832141224, 579070929, 496767291, 330470199, 465321529, 656587313, 468108608, 76973069, 141069439, 944758752, 903978155, 284655185, 134626155, 149696455, 792546914, 350358812, 653737542, 832978923, 765561552, 516765659, 497824315, 980436814, 749914558, 92336473, 24135831, 240263779, 52445887, 761691225, 202495279, 263226630, 435657016, 985971715, 569184380, 10670315, 301504587, 953486251, 967877969, 580582297, 110492525, 700102901, 167067531, 120231867, 643977376, 838702292, 704747757, 839695866, 518982644, 853638102, 852584109, 515578729, 801176792, 662175091, 694233299, 138830241, 642920291, 3771778, 514875037, 225409844, 89165750, 254124568, 702050596, 168609599, 723336007, 943656729, 257717500, 715507424, 430273826, 963618412, 420328760, 251431713, 241402727, 87126518, 887171075, 914194041, 624022299, 697716124, 543370037, 426588274, 861937974, 291875948, 814449627, 119075357, 554537271, 609175964, 587437976, 66897890, 148011409, 127543800, 334028084, 839105441, 67216654, 961130750, 985685449, 348007111, 439755050, 605672068, 190596560, 559795213, 690630247, 898964185, 79085646, 304379390, 477499208, 798992675, 282557495, 832113545, 471861974, 304901143, 184258606, 975086745, 566155308, 728010165, 527325732, 669719618, 407921089, 389241315, 551104161, 539813563, 6506798, 258400318, 831877216, 246566730, 377031551, 243914036, 524770674, 696716466, 275284050, 3744158, 305972490, 348569725, 655733622, 226255609, 936640317, 305582424, 532352249, 538780239, 396963705, 746079824, 800621510, 985028541, 634956467, 999438714, 313214019, 210715275, 504734596, 522272488, 276193898, 339333252, 316159507, 827777538, 404511, 373412213, 624844419, 103363583, 622908077, 179301439, 549012827, 392506821, 665545683, 515207001, 62563746, 60927088, 974624914, 62539899, 602493548, 883975212, 321338858, 710470967, 218365254, 189244642, 702018159, 875354499, 825180266, 779666231, 988308612, 381075183, 892719287, 279942287, 556511052, 228622161, 315652142, 954219659, 742018849, 241680472, 529618305, 8933814, 794915293, 207702274, 595275272, 885422280, 254850412, 185504896, 915300609, 193917588, 160356309, 921692641, 40357060, 567892738, 232232689, 159263923, 245108324, 911791358, 465616485, 8296737, 725076321, 633415659, 695497019, 850750237, 703425692, 711323824, 391576335, 836214082, 186215638, 472505205, 881968389, 509828434, 150578706, 94533780, 465573745, 334367690, 328966707, 22061494, 86178716, 420770704, 115609362, 267060927, 83802503, 524101728, 40612967, 24520086, 4101101, 442973024, 178160811, 372755093, 228225013, 486192871, 620791447, 969813012, 853986445, 843592080, 627298019, 205054981, 508425718, 535200878, 766114139, 62776973, 869533654, 243704004, 841811692, 136867411, 73010518, 433487268, 165198298, 802559780, 986455328, 435742092, 110608922, 436189129, 397527781, 440574820, 849837114, 759026467, 440979039, 487904246, 848926378, 72013264, 629446951, 287486633, 564469920, 342319085, 941301495, 184170969, 11274716, 677361774, 295397427, 805672604, 752698059, 836435251, 926657751, 104413984, 24090721, 810595632, 218340693, 259296732, 265896322, 518604846, 938415160, 829356750, 277346667, 741957993, 567181608, 641411451, 467905144, 903309100, 275680565, 508752404, 144899734, 471454438, 36451896, 349865293, 13239527, 42962529, 946739010, 198783189, 790291755, 491176344, 390682005, 750465729, 971760660, 857225958, 229775687, 317718567, 329317953, 368233939, 111339297, 259308738, 971368358, 558059011, 622438081, 186337388, 899558844, 201742131, 236841628, 863128123, 441150365, 99257840, 853272183, 847355108, 633079057, 164862179, 844962371, 917628073, 200462954, 797936691, 282567297, 290539069, 869049780, 456795485, 420568615, 434560790, 876300997, 795065136, 437349548, 605178698, 256901016, 853964140, 490905702, 66295656, 439444905, 177198442, 898364849, 291518030, 28515732, 199503407, 229599556, 252539721, 106219886, 403868944, 881965300, 873168713, 72815588, 143999370, 2826093, 277280192, 561480991, 788991056, 442705751, 854922784, 529192545, 569536905, 289710788, 745306595, 136139293, 835603732, 126811268, 168564423, 937564167, 101090314, 951226330, 96135821, 816007059, 358609069, 778065673, 645462422, 500331020, 145082796, 714915509, 364177462, 332549510, 583144072, 922874642, 641312519, 515459533, 608030244, 144940595, 836424354, 907649413, 337251610, 875563838, 960302720, 53540678, 597334451, 281236972, 601827522, 218815975, 456579359, 99924523, 274332457, 798607558, 393024863, 155876937, 880212564, 515285757, 972515866, 240662088, 480314629, 638119683, 980236267, 277495537, 921179933, 165028445, 612591477, 641627511, 802763530, 789299235, 334409767, 467200516, 680248848, 362326768, 237048199, 820936738, 344498019, 502552077, 474588289, 755876997, 261309370, 718377667, 391489767, 528788049, 712477560, 671316714, 67575332, 370151912, 199200305, 712744074, 777806943, 974599348, 365620272, 874629263, 489240177, 9909076, 195817063, 138756879, 498032485, 914975855, 861837770, 932270905, 849957738, 280115650, 830347169, 419465764, 890683419, 852339798, 908768764, 105688457, 683319820, 556534531, 109332587, 400718170, 155910708, 47274964, 506130433, 205852542, 932773618, 160871180, 579686907, 744649635, 336196184, 514630580, 315864478, 227684599, 330868371, 837387613, 192528527, 414254607, 305676725, 74946339, 709967307, 702276239, 20913925, 73139724, 552283874, 280904536, 179369719, 788024167, 949693725, 840237145, 511620589, 426443482, 831940320, 297506106, 706304974, 968238058, 810547796, 212555071, 833120839, 57037685, 88788643, 469975793, 177567093, 251815856, 488609105, 637536492, 747421048, 86043301, 104907235, 259304280, 305332132, 800504653, 827505212, 235947912, 157035786, 762680689, 501627794, 641421845, 214520658, 330911620, 112348813, 486168408, 80908449, 146357047, 588603774, 922618833, 790777531, 328027076, 373440832, 876372212, 336677425, 442182997, 158577086, 872721279, 941490172, 192651100, 950121949, 920798984, 130388246, 863589845, 19446199, 327015466, 840746181, 431984306, 179483013, 755393712, 713851509, 48893701, 746018419, 883765073, 504331758, 772146176, 492272017, 820357695, 96557021, 181776954, 810717424, 849210412, 539462837, 143897315, 656963115, 718944886, 503637592, 848011186, 639542206, 91839929, 163567111, 766979571, 929706502, 530631158, 984312871, 323518456, 360147516, 652364881, 82667630, 701437760, 561343444, 884628159, 800309479, 114709057, 996311855, 191561700, 835505038, 785966849, 195355266, 335323656, 677539884, 813447989, 642591856, 440732280, 243592343, 539772141, 448568103, 368439, 926285248, 407496359, 465644514, 374977968, 654827506, 608940051, 696145267, 229953602, 671488569, 401866260, 955620428, 379557012, 178148842, 846984594, 661771272, 29992296, 795765512, 819535483, 401510753, 666044510, 107998653, 294570892, 236077416, 841667007, 450022919, 163798017, 226820088, 254389907, 62878284, 462315333, 316403723, 834036694, 982580324, 526159765, 443185818, 660846445, 655471346, 656236737, 388712220, 527999410, 503115688, 436033529, 386566699, 284855684, 411923746, 291591914, 976780907, 655086673, 415214020, 134176614, 344742464, 274113781, 764521887, 448455857, 338619148, 287736785, 162069939, 117767146, 275269128, 807980183, 677592470, 8904466, 745460311, 396784442, 658191692, 749474761, 708722704, 249625503, 825965333, 608221270, 638051186, 815263493, 133260362, 144562719, 19128252, 157197069, 54085982, 814875594, 918774832, 74595292, 254206875, 428777065, 197076641, 398703085, 754236479, 483148150, 297604206, 576962887, 268988626, 11444175, 788397289, 89084187, 46440800, 899715607, 353773910, 123897304, 177489192, 569151664, 446858813, 179152220, 647193939, 827142314, 542051267, 980309899, 361641513, 761723933, 376737494, 32352898, 920581336, 888733704, 754344285, 420471035, 242320418, 111758437, 156354479, 547979653, 925270587, 753842520, 836883444, 723807311, 323218780, 802348382, 397097667, 799371886, 494599852, 497658110, 160882593, 159581809, 925697188, 334721938, 778808286, 983803792, 776609535, 346172535, 918514437, 342048235, 32592503, 959538230, 195752510, 744200025, 394958806, 307067966, 353056174, 33357541, 938719452, 452487831, 953736525, 91538788, 835321933, 14662852, 443620109, 14095416, 144582334, 994428952, 221370093, 103816330, 98298082, 112446481, 600099800, 711657368, 795741820, 633351938, 726944813, 878378807, 816659384, 893894872, 170387843, 101248467, 780188561, 232870519, 100191210, 701316031, 934916654, 381443339, 271151078, 16061899, 555248202, 384163349, 243688415, 186707724, 181546269, 982881862, 793197865, 157356563, 294952851, 712296288, 512313225, 524785900, 509117492, 580503429, 54443948, 471755345, 231945366, 898195979, 577138597, 665437838, 542329524, 636620541, 800157571, 442215366, 763596409, 753082067, 547805195, 28688727, 805401858, 247541501, 994492692, 793923218, 237178686, 23781941, 892887311, 987643794, 512890155, 563210268, 711766615, 179719485, 212756355, 73742432, 382040913, 774234845, 205608438, 854970604, 164895028, 685227628, 372574990, 925276444, 625419536, 924633282, 760830483, 193763574, 322690107, 110547838, 390319102, 9764992, 666607406, 596902685, 704233813, 860078670, 276497234, 539034905, 496237162, 842637053, 419044945, 855505890, 433189403, 566312060, 757874013, 292867504, 505535174, 579310212, 629836768, 519980530, 740237456, 785080121, 182857255, 193003601, 306125131, 760482231, 221069619, 23281586, 50951787, 627041767, 394223034, 345040045, 522402810, 559968319, 967357821, 722768843, 308243634, 356074991, 138330983, 206517606, 504999298, 316690866, 781787854, 730038089, 443241546, 827104287, 887527553, 994389013, 123938452, 826720655, 875655865, 40096583, 35868985, 70578375, 413040676, 734511721, 595441334, 217820515, 488429076, 701007791, 373237357, 959452237, 823054378, 446916771, 794794712, 45757616, 324422755, 893130620, 929906956, 152967620, 319906422, 968499608, 242568569, 136420576, 519451491, 855656183, 209941780, 915420147, 659835020, 258855951, 614218773, 390749259, 809895336, 69838226, 978080798, 4451337, 229525206, 378006841, 235753620, 581779628, 599071430, 634992492, 237514092, 572161015, 861061659, 507824284, 288165143, 544004313, 267451446, 912100705, 94788648, 183437500, 753406036, 12432273, 684497887, 213046242, 264929465, 87924610, 400802719, 714474667, 383870118, 953745055, 773467227, 751995346, 835241369, 803242010, 75760351, 706632759, 914426041, 849689741, 626645148, 387408606, 522871455, 503465847, 1729239, 204875998, 724580790, 548482794, 855194613, 677692557, 382042476, 136310466, 100902360, 394146739, 559463761, 41107191, 619307704, 451782019, 722842261, 149202340, 527929095, 343327334, 920041714, 219151741, 317773804, 458774067, 685976648, 633156451, 777288513, 659875617, 620734796, 8115781, 558904445, 330699046, 297100803, 554252897, 339945449, 476136590, 882302308, 195207157, 752030133, 272891517, 328986697, 251616238, 664269252, 196420510, 805880467, 854818014, 210756638, 249295726, 428617938, 625638643, 730338466, 665259552, 913610988, 922224435, 935479998, 860773135, 995955771, 24363542, 344616096, 947868060, 480512930, 152612131, 622120017, 124009538, 502111162, 592556549, 131060674, 857640290, 874666726, 597017294, 215423175, 556002744, 335166160, 904169195, 903512268, 642377639, 212574978, 744202703, 934083146, 680193481, 861236406, 38755038, 625549379, 251133749, 522494355, 983260803, 307833018, 951707517, 7343783, 879548077, 326575680, 13266689, 618129471, 367182622, 761849392, 298946502, 74787955, 276543890, 128396197, 513046135, 680524730, 734006661, 792220202, 450212445, 893453299, 403043622, 403904202, 219848345, 157546738, 143047633, 520125776, 127098725, 862051562, 134306797, 259182772, 952689403, 756217931, 849226779, 861479970, 407907674, 278948920, 846587045, 967091984, 268524589, 640266995, 933732723, 534333384, 63235519, 373127757, 569866842, 536893168, 618479535, 529273212, 774455488, 418720659, 344864787, 639182936, 893706288, 370166368, 828943588, 183280054, 280052755, 143907082, 831798117, 51252617, 866280316, 29391423, 894713479, 47363760, 709241223, 178544838, 171614155, 836965301, 580863284, 692624323, 662495888, 175860559, 593046462, 312427681, 440879106, 160234840, 759852789, 475589953, 67835563, 223830146, 36253693, 857787674, 743318455, 842785511, 595012565, 537718550, 247268777, 688942075, 50901933, 408962850, 79257096, 903182629, 493630287, 82240673, 666667994, 515728885, 143243634, 124009221, 348078864, 900397983, 713628455, 752490658, 767118452, 120968954, 376516280, 362803549, 567928938, 131544933, 615274934, 189237423, 752629039, 779423227, 937898757, 431610733, 888481298, 777958954, 3772096, 997084290, 251486732, 267646194, 886407238, 400149833, 675847101, 289977692, 586440003, 965753275, 190138075, 473771493, 741250386, 853379567, 546504436, 385408901, 905068910, 514152059, 357123269, 766383861, 171671325, 731494758, 863186618, 800420383, 195468904, 707940452, 634343068, 184648244, 920607596, 180660510, 540353755, 524174021, 987969893, 660594493, 502504720, 239235074, 317492939, 600247330, 542988347, 993254229, 177307708, 679297616, 787255843, 368037692, 403728984, 862267268, 728021653, 436335289, 561946925, 294414990, 120604902, 216268433, 558629722, 308355883, 688752881, 742786498, 465575636, 455544983, 780087046, 319661645, 431726641, 405090230, 852955131, 493880700, 74595975, 170584942, 299050742, 518414702, 605125202, 935908407, 909598635, 81898604, 928657277, 685835291, 901735937, 412609179, 950570473, 738222487, 491394226, 304634203, 404540954, 228423653, 538899781, 267848758, 769219690, 696890279, 495687599, 698531125, 54264632, 67548286, 650572968, 985402864, 760108730, 593032848, 555231717, 949425112, 747102551, 494610245, 887570291, 691230408, 833036030, 115079861, 424798710, 125968155, 374783846, 151915334, 359222259, 845575540, 405534026, 670244493, 519851063, 951660848, 945236610, 54872024, 741906152, 44655901, 352336743, 586772229, 990520565, 966938820, 593727091, 889281087, 581663579, 169510, 747328881, 400448899, 479154834, 686325590, 459304478, 722066541, 335417196, 98275071, 361367558, 326683862, 173569818, 836694299, 219038141, 91650008, 953673022, 598888866, 364291302, 45150675, 690194250, 841648058, 520655873, 761978087, 789020790, 84838839, 155741394, 452635457, 187666921, 802402775, 975660920, 909167547, 769476319, 436769058, 669150326, 767354272, 475024577, 1240102, 667815512, 39408234, 377346150, 798680526, 926737793, 14628095, 691460568, 66239560, 885116470, 220468129, 946508311, 524054958, 811121729, 68017249, 938921694, 513449358, 330071777, 950474895, 953684618, 848714612, 957459069, 500039640, 128637637, 97127304, 100095193, 524635402, 850509084, 291688432, 660856444, 921667524, 248997293, 123121241, 510057096, 224626672, 521573178, 273462494, 452256140, 4055520, 390275419, 921264594, 422278561, 102047182, 20554424, 51293195, 245093644, 407149180, 925690102, 520245031, 919073486, 751701716, 135206552, 789303604, 87105066, 373680962, 789135409, 454036279, 627942981, 924865253, 312139381, 152771610, 49407893, 488882074, 587008901, 465960235, 265116692, 155758580, 30509290, 273337605, 189109861, 142854504, 49035427, 674270223, 349238696, 681997226, 6203812, 236039496, 4241982, 448518696, 181043515, 337989413, 469422763, 8746846, 404507295, 572142400, 521897837, 572711705, 52706405, 41200275, 829782735, 798684437, 153476329, 77204318, 384520567, 243417784, 765459794, 323189912, 748247311, 440456663, 955883508, 182914326, 744610157, 841448884, 376612938, 760561700, 652218625, 845134273, 54936426, 206011691, 370738980, 570651447, 746960097, 694717876, 279158420, 478964424, 692136995, 222525178, 819192097, 458784290, 367166537, 240148067, 583025415, 876173110, 905946779, 756825527, 760735350, 489436035, 670991439, 515957368, 365398856, 708070110, 713445500, 777624352, 897561217, 91129301, 728049700, 782302035, 998276014, 630413315, 683950393, 181443365, 796518034, 127543039, 806821145, 552317928, 423164292, 48893362, 212925868, 568109701, 479181840, 226400581, 358922000, 708316350, 963868441, 162647428, 345951633, 403125558, 253569382, 806938814, 274682382, 146101202, 876863834, 370207321, 538965902, 248123947, 150724922, 277452362, 169740630, 930282512, 391436449, 239357919, 308727784, 170868534, 747340543, 733369172, 229884628, 476981602, 243879274, 468470738, 780243521, 294536240, 902801220, 933012609, 908906117, 646633730, 917488309, 225841513, 854494839, 192084228, 231109777, 660040991, 522476308, 950017555, 390620771, 278533750, 992481517, 698504522, 509835189, 129087413, 633710917, 16933368, 753910721, 539931663, 20346082, 590571682, 294645497, 726375855, 216212909, 414015886, 32597803, 28668272, 446679320, 422154640, 270059626, 991070652, 730206614, 424632321, 882637673, 473703010, 649015504, 889191062, 347572214, 921661337, 651477777, 182399655, 317500126, 766906332, 668128116, 663392617, 957301072, 746148302, 852604785, 180017638, 731166389, 353106492, 908401599, 413236400, 812515656, 22411953, 766521031, 564514165, 722241718, 191764041, 115647844, 444433391, 32239772, 710675047, 169017470, 155364053, 902210281, 546095837, 917184986, 601233657, 27182138, 238360458, 964160462, 959276609, 771590866, 996640454, 905369934, 610244021, 699393057, 513606210, 883829028, 244178150, 519040379, 723129320, 470753376, 473528252, 879745059, 596595560, 397897423, 467492083, 921099332, 880769847, 271291500, 657414872, 454981422, 532480930, 314577755, 940795090, 765646340, 274724207, 314077446, 876069884, 751563425, 926995865, 257714606, 944861989, 113599099, 150005398, 971439806, 830793982, 39120374, 396450381, 378057811, 996148710, 611278782, 518656498, 649374468, 973899284, 977336521, 481414473, 366341789, 661000026, 194207183, 627034979, 96981609, 895049463, 334305899, 744419888, 455142153, 446588904, 679797473, 873160251, 653843571, 769966969, 832290286, 32902901, 868343108, 770515251, 230276019, 205951235, 195454041, 546286386, 204371028, 589218473, 895920105, 850783613, 761761197, 345638863, 318342676, 927633712, 753193876, 886211002, 510963519, 124885556, 884570341, 157638712, 590178653, 98945377, 179808775, 536235030, 937568974, 288712975, 948274886, 331881550, 634353857, 757393355, 673292867, 516125830, 31016642, 414063610, 744566339, 119299730, 257348501, 662277552, 677976210, 632514767, 714022595, 356463512, 445835172, 81112790, 60822693, 263284653, 279148857, 408619834, 365426834, 613869908, 518460288, 856929592, 835542313, 743906765, 689328836, 348966221, 178233141, 946484780, 83300550, 617207220, 424121271, 775408201, 948766486, 572270908, 665503795, 420516896, 568600027, 496372718, 59805556, 159753333, 439754766, 774779166, 665732821, 513252321, 165813046, 427552777, 501248545, 986746273, 614019304, 662789410, 433093032, 514183858, 595142926, 267506055, 743242572, 668053761, 122006443, 242475971, 260320454, 486761238, 696471514, 741174514, 208470595, 709524602, 745688379, 721395404, 905013656, 488037690, 961898348, 393301049, 957946703, 318273541, 356614873, 683240152, 86339491, 252242303, 94772817, 686975064, 218819388, 222598502, 793847592, 942507782, 379082810, 87699605, 90765238, 505825969, 574261670, 430246184, 111393731, 138889203, 553104504, 362692526, 262002398, 198327426, 355650958, 614774966, 75930059, 37748405, 869753293, 720137860, 290784528, 658712397, 154138801, 75545878, 282424477, 437472567, 583073375, 883778440, 120452853, 905154520, 389495379, 364552523, 671337402, 62006873, 559141277, 723930066, 294170345, 441937041, 695763151, 789022551, 873471553, 727356072, 943602610, 869219821, 546139355, 333760421, 490314792, 404718155, 530598927, 10561213, 1655766, 660561122, 957123195, 102888535, 523370502, 19913423, 340470814, 614001199, 894493343, 643584745, 724740996, 347205444, 868462978, 934462456, 71233720, 192820269, 341894863, 483575442, 363793392, 615703899, 41530426, 610643618, 711175407, 315383461, 470124807, 549500251, 387619570, 39353463, 74161946, 257432427, 598957091, 79122299, 515605309, 171144850, 222467704, 876312958, 869008144, 906359354, 991046768, 887358959, 2998062, 42244682, 606802457, 820435030, 945278257, 348174532, 197265660, 856048928, 137005063, 200412656, 219275767, 655118783, 379829483, 82033627, 823449813, 433771475, 35616642, 803939391, 778527095, 384390971, 993844785, 613163457, 145936581, 69209030, 645028096, 793305241, 149351846, 182304576, 12578038, 745135666, 479011947, 937781590, 573695512, 172145588, 753876254, 159388559, 901067010, 212489162, 46282452, 789315904, 549845880, 297953397, 296966148, 245394344, 915256516, 105541877, 616629881, 752031544, 859862792, 774746839, 720778857, 449118578, 176251278, 713918570, 650596473, 681705411, 840538642, 337062281, 363127289, 74395005, 72504180, 793721771, 752608346, 87047545, 851317275, 611117093, 284968102, 465771374, 63277870, 547255317, 800604665, 447471624, 692163811, 947039758, 244037322, 817926984, 837787465, 156086647, 38022451, 812879600, 585916860, 966561067, 112852263, 961926386, 587938845, 725168147, 506505927, 581105151, 816047833, 8301876, 154807495, 962733270, 88957551, 649268502, 833104028, 574493744, 321080055, 947734638, 680301625, 404047114, 182546184, 885050286, 286814353, 2185749, 403312728, 656366850, 127723420, 986602305, 25265407, 467338417, 766081880, 206507203, 548629610, 755640445, 943757217, 955201728, 793809133, 678977614, 785091445, 224179967, 574428045, 187276613, 212216011, 476993387, 330661161, 947227302, 783505883, 330122322, 872326336, 639332590, 867007043, 536251238, 574261285, 93741686, 377476997, 656432266, 87986425, 681180316, 341937178, 597909811, 261930500, 945645394, 856226259, 103829619, 706837737, 525494369, 487643794, 299100051, 673781646, 488944536, 831900591, 823626397, 874546888, 582111677, 312106010, 961333147, 341349702, 576227641, 345038902, 820709580, 95910474, 742330081, 236433005, 863855223, 955053645, 18955068, 765990187, 604595588, 90773005, 579390670, 804286690, 424355703, 392307454, 509890995, 944483786, 503989989, 72616422, 373958548, 685627523, 368543567, 649617295, 473788300, 802095688, 365984053, 589279509, 267911886, 83021921, 402997984, 163397157, 752367138, 63736686, 245444917, 502356088, 722780469, 671373429, 951560541, 431510277, 728323178, 316091121, 643170117, 466419457, 196685183, 123538430, 133895657, 749004938, 873324928, 33141694, 861230019, 724775758, 691914652, 940196512, 500792776, 116815233, 594381666, 177571067, 621827302, 333167191, 24518101, 41413284, 985835482, 253500590, 131041651, 47425430, 283229398, 526393103, 426116867, 804368179, 967914538, 125995, 513875641, 131545703, 714140748, 263719060, 434528109, 723135746, 277656880, 924060868, 999414453, 571799130, 771451146, 82088849, 23304534, 746797883, 222291299, 48003783, 650928365, 282129789, 792408087, 867699649, 672170461, 637690370, 587971474, 751450500, 240910046, 859915261, 476689021, 515299494, 268851858, 162318380, 757549326, 432181018, 395410942, 648953140, 372661969, 299889815, 597419089, 574247071, 446836127, 321471354, 251867548, 750304051, 98016586, 952207722, 191611246, 939564147, 642666568, 250773804, 644257420, 100685236, 745432999, 807123894, 476509621, 783167225, 673158218, 576445771, 222794393, 162270810, 122510261, 531129174, 805902143, 410790143, 713749862, 796224386, 28950555, 530345152, 447456316, 989753525, 578911610, 158583159, 446332158, 545476761, 848704269, 727022531, 320462380, 891327663, 586601136, 314131798, 392740852, 898516130, 252751982, 312667117, 363303407, 541386308, 865143620, 182257351, 580193362, 802275639, 824759852, 525439636, 388098228, 203398436, 752045221, 369779165, 386862766, 576989726, 652408367, 382023340, 801511857, 203692190, 48505396, 665792738, 628258887, 970107321, 456581835, 637089456, 479399978, 762098105, 949752544, 247484042, 665546735, 53578362, 72409449, 207886600, 272963010, 852085119, 349199065, 997446837, 132110651, 483227889, 841775473, 904714774, 637153119, 461450708, 866296057, 869699720, 871945485, 252634706, 165916156, 25419359, 727507135, 306169115, 719111750, 569152385, 211911820, 593314160, 635763587, 612017494, 249834684, 791446420, 969597938, 792215812, 486059857, 418816021, 854883057, 741272462, 307090607, 545227223, 616807784, 695520764, 157825147, 55509894, 54710947, 401051742, 473681414, 944705836, 921281938, 827728454, 303228186, 54022369, 583885208, 663372368, 314649148, 18330942, 277414561, 379063829, 374890745, 647224851, 218624519, 413977447, 192128488, 709650413, 797742594, 188326760, 499040377, 290456690, 868918357, 750120637, 92502220, 908241898, 293404537, 19540918, 735762928, 116535022, 796352966, 934971322, 549772703, 386513135, 329675703, 906195310, 344580588, 655507149, 261342670, 691907379, 621894058, 625898307, 967726115, 9506399, 13894509, 642691464, 843466097, 913057040, 304446047, 657632942, 733974725, 679099910, 118478591, 62437861, 371440432, 740846538, 314904295, 251969414, 981295152, 937476158, 67969020, 56926822, 446274134, 197867013, 750491124, 724167695, 618650134, 91124791, 795024561, 782726988, 610955009, 73229578, 908259936, 861284216, 42684369, 565533247, 313307291, 908117302, 351066919, 33239469, 368494655, 349932206, 326267105, 777069220, 949141388, 646619187, 652104188, 659108573, 613979572, 519970523, 896761232, 581141366, 507251213, 614134550, 281389976, 762692361, 800521517, 614476007, 84739727, 417597618, 473244106, 392515412, 842326800, 76899402, 179857924, 135067205, 159035886, 891228001, 545556682, 753058673, 713208623, 299539686, 693010361, 964493849, 28068328, 926702974, 162495044, 110731502, 827530711, 219214657, 437739407, 265925030, 741645973, 291552034, 961403175, 268381107, 123526437, 345563092, 375371427, 671887685, 529128824, 403941709, 829345245, 680157649, 271988229, 822422384, 744333955, 583108432, 851826443, 775330832, 70470292, 123379714, 369449503, 846994471, 384764634, 138473055, 99875115, 137296701, 961097037, 654124429, 881782127, 817704544, 236943234, 65069868, 850201763, 687215016, 72518897, 827718835, 855601984, 331061912, 995218631, 344980723, 485754731, 692377712, 265864576, 176031367, 874185570, 829201611, 498816735, 729062668, 230573439, 832506515, 344535764, 918813240, 358594145, 461637754, 4074483, 376639845, 640937829, 257651751, 255618037, 701840512, 291789657, 645080074, 846832358, 295880587, 570776882, 763833156, 757574934, 571754010, 470087913, 397175663, 261004695, 267569676, 96886704, 365446329, 334423528, 122846927, 219803984, 288277520, 30005991, 423214481, 706769011, 886131332, 428671501, 701919854, 917312345, 819274147, 232048440, 532663351, 26612983, 648436633, 89617310, 744258122, 540694038, 71300066, 469029651, 115578805, 818513700, 176350856, 485844976, 26542856, 51908940, 92134759, 372112087, 257659731, 711577965, 424012070, 638424167, 185205609, 299932715, 135648636, 770150606, 992311672, 384359187, 6314245, 435080047, 919662150, 733393941, 976395414, 439370250, 763603894, 701495011, 719402320, 293600071, 391596044, 36937169, 985246774, 918964476, 295079198, 726364368, 955987565, 745590535, 60071943, 448622840, 16355419, 803631002, 348023011, 258913618, 40210488, 67483000, 795675437, 129354431, 198172990, 736735054, 916407434, 92381533, 717064368, 957434693, 158049568, 4026733, 596285400, 31160033, 401877756, 896552089, 161288612, 284432964, 77730185, 71374632, 147745860, 149376058, 558478618, 125708246, 582813515, 283714928, 939386391, 786369308, 48007517, 496577379, 865930736, 265086092, 545035943, 398122240, 838068375, 91843685, 662420646, 665214562, 151213794, 324608622, 797196930, 135862821, 653056181, 12054646, 817436559, 556914381, 613263381, 735121997, 310657433, 903410263, 610863497, 694311387, 597459204, 122168567, 409246243, 126030708, 476919633, 781551419, 38237327, 466755438, 172987115, 948450172, 950565806, 919799338, 811451726, 892843954, 121019450, 971918178, 366472010, 880539528, 926002533, 841147378, 629584804, 425321941, 44427657, 474185481, 782303056, 605971090, 279027766, 182544206, 323951367, 885627018, 643868531, 26036143, 794586594, 313312796, 644735878, 370759302, 303716918, 645740256, 947883099, 804812889, 820590077, 918489339, 721503268, 365478558, 299305986, 209907412, 730608442, 206613969, 453180033, 660718401, 712985456, 792820281, 440369194, 588452859, 525355316, 447586143, 755416500, 184099262, 601680342, 936501763, 168354080, 351198187, 270615434, 118281395, 487197805, 606971477, 422710473, 869408144, 58362397, 398455366, 921993621, 302548509, 940916216, 595126323, 351550489, 813117855, 197350801, 505510241, 652647209, 676400268, 873083195, 254842234, 737119113, 981538986, 216184867, 38984402, 603641084, 356706006, 832542210, 701629353, 38966880, 934486007, 222648011, 524034106, 679401823, 42995380, 960887587, 322968955, 837481611, 505458966, 837205523, 310958291, 834218518, 188087320, 882530642, 339309318, 5548886, 774186365, 55126581, 153329408, 921843297, 962838481, 37318557, 316558658, 405898964, 302179009, 895008428, 704980201, 115692980, 616289619, 30105671, 422470965, 372147688, 408975359, 834374490, 128690535, 238091114, 300107469, 653235283, 258696689, 723754292, 799250810, 421436297, 426875724, 627379467, 316862194, 212861259, 292567870, 72587094, 107057928, 625158626, 354465924, 889605769, 535516522, 122320974, 780222492, 155762412, 78838290, 542993075, 783741614, 114846801, 191170335, 618906683, 833549087, 978333073, 325730972, 973008, 554376578, 185567868, 631064278, 504426122, 703966597, 879759001, 668378942, 267525919, 373125639, 800582130, 554317752, 453395563, 253144815, 871047699, 440162809, 762511470, 246795969, 3579179, 198432037, 729627349, 183011607, 81956275, 177823323, 969874865, 289999843, 768770324, 308152815, 951109195, 587550959, 787866073, 971240919, 455934360, 105520866, 154224933, 488503671, 467933927, 803585114, 287435763, 520722140, 166885373, 8939219, 793981255, 990581313, 584048593, 894308833, 175327895, 268133876, 783004518, 374119071, 509002841, 342607118, 610283614, 202107234, 832545698, 787162571, 380143043, 658455643, 642195185, 421062846, 687232705, 542563480, 413958315, 13354060, 561120305, 191377378, 148778803, 879879478, 345584778, 265107426, 473617101, 733407333, 245029493, 727291088, 351145573, 221766210, 297243697, 589953149, 122058881, 793146176, 871389499, 23008782, 103066808, 54969358, 337834797, 796335826, 380660881, 592741120, 290920908, 110097776, 273945345, 870191289, 199250902, 191897106, 929821734, 726201181, 336579445, 281945530, 779486459, 834732610, 296483037, 115386994, 801314465, 90005670, 242641004, 498780797, 650934937, 829729989, 6250055, 101062684, 510419173, 935009964, 469728953, 864435170, 297382689, 641711338, 792558054, 569088398, 632214889, 19529133, 673514825, 570700647, 372659095, 995517719, 504625940, 680827544, 545368950, 139757300, 330475496, 822195600, 608280164, 836918854, 257080794, 547138487, 128477153, 49950962, 260424626, 949002067, 539697789, 234867684, 932434259, 617144487, 214506720, 310608065, 487426512, 938616751, 694102541, 882031404, 801767510, 330399357, 882424482, 619783792, 957319597, 36837235, 126289994, 857124975, 167158044, 42202751, 207618356, 60578422, 210951858, 807769611, 622706717, 43516881, 699573099, 69431193, 433951490, 807351713, 188505355, 930082086, 739657821, 575015213, 648746156, 388392514, 783664814, 146620680, 393808379, 676070677, 800329032, 443080813, 121171833, 582628487, 822863124, 766830521, 417848240, 880487242, 496710183, 345637463, 335913816, 334488710, 539291505, 846870684, 573024946, 614748148, 278225405, 197956896, 415867284, 474940220, 228240667, 401282812, 145136335, 850879366, 860862769, 674030433, 898699841, 967407218, 662617711, 260188718, 932013762, 626485223, 710311892, 919647569, 884764728, 239049497, 934246996, 307796244, 279059173, 863502994, 842756157, 270302447, 56130784, 486427142, 760955528, 666183411, 497727643, 752235514, 659196962, 236376464, 691304709, 488308301, 689772466, 752922075, 896850820, 432766454, 900536164, 420451421, 142067254, 888162318, 202914887, 520189869, 252528423, 896148461, 43309874, 428623004, 797848884, 284223150, 970300636, 276153878, 648219937, 806889623, 215699788, 414960170, 647343680, 238556322, 66819800, 253863080, 990816576, 423965666, 283460600, 295864556, 246515325, 334535465, 185680846, 578869785, 643925029, 537303246, 140796824, 689568371, 736265660, 846745205, 606636577, 262227356, 402192667, 748165969, 278305242, 216308487, 274764669, 208516067, 732852660, 139190700, 722946743, 615041488, 113938777, 739573071, 76085666, 846167554, 624831917, 885508544, 553645561, 757273194, 72797776, 61337061, 710864480, 888834643, 430217005, 596819200, 595973776, 47590668, 792272784, 601856027, 9053409, 480606165, 976467583, 93304345, 673009343, 326872034, 894337989, 32740638, 369059188, 607650689, 325167476, 852837395, 760362711, 463437657, 222280471, 836898076, 390258311, 458812261, 630259595, 669545286, 83700780, 652489418, 783383001, 664659386, 999119745, 606554486, 646490719, 549950799, 890518905, 634425247, 303549941, 828537048, 297274988, 744411503, 162456648, 844079218, 697602220, 738468053, 702546518, 664229719, 298094871, 408468596, 358906145, 175057725, 428280163, 123494983, 391145240, 174527561, 919408225, 425567432, 425694693, 352398821, 651850835, 116615953, 850325737, 20890832, 300926530, 486196326, 576737184, 84930926, 544794690, 373186036, 914998246, 552748274, 270597679, 715147765, 52825746, 45715533, 293806876, 164867075, 304794208, 312531638, 208561339, 461238696, 635338474, 286591171, 895830041, 6137051, 254160041, 431842319, 62217269, 959100097, 585989663, 455950, 428199474, 168396950, 442832694, 423898529, 157721403, 795525827, 530459192, 437695038, 442886733, 678463458, 841337099, 942179102, 538435426, 273866141, 83783746, 527033168, 373121825, 206212702, 737022124, 989889910, 320877500, 683326707, 741004540, 573971213, 635449523, 303483178, 10873287, 805273541, 810169506, 786856008, 448378925, 207321386, 776403854, 70347931, 489768159, 493131075, 573773683, 123215004, 898359890, 233290576, 241393386, 464880394, 996090898, 827974790, 418846058, 300129056, 775253067, 770333095, 670684669, 666460806, 504656866, 390695524, 806826378, 277468755, 519047091, 848144932, 823833906, 525597093, 525167158, 51213398, 993312138, 144617802, 851807999, 333071486, 561132867, 618989000, 342119032, 583203138, 484486484, 719142326, 245076259, 752838697, 127840864, 582856190, 337220623, 906600189, 363494024, 761332774, 558074157, 900177875, 66174970, 71387723, 41694087, 228065795, 82339314, 814630477, 678892835, 555568471, 466379686, 997421352, 133772779, 27582946, 661670372, 51989283, 198252047, 997003270, 320012117, 320160541, 907069135, 83866473, 822572240, 382316892, 944129569, 657109212, 433291076, 565217204, 938290874, 72537938, 659884132, 626493285, 739705769, 580969423, 835569731, 302617243, 107264369, 25905280, 715361231, 187268133, 253749628, 691551820, 651518567, 795458124, 241637971, 11004841, 134621212, 553167367, 42264991, 784860869, 688180260, 747787763, 180715356, 731896671, 599916432, 133942594, 936275730, 681218923, 745671286, 996671653, 42166412, 667810006, 455941547, 139318322, 565118063, 941224400, 36186815, 166873507, 520262570, 262884483, 731472898, 197882711, 611595984, 958089760, 576734356, 995293320, 701309870, 774629810, 977683103, 471192241, 230746500, 308941602, 782582665, 746981066, 503189902, 242622443, 144004851, 219764093, 69797326, 135369879, 195206200, 987949131, 3870140, 121464369, 177226595, 40680502, 331614277, 433641582, 544475723, 337862367, 464517350, 481273221, 797106375, 443013777, 517783312, 162363610, 136048610, 10331468, 230640476, 898641863, 78431535, 120253436, 110905862, 947648743, 117209500, 226352874, 213526536, 166660411, 254702766, 256979993, 169681677, 513398699, 603487934, 528729207, 493408158, 793660306, 713179061, 157920112, 110350264, 353286349, 17160461, 304475789, 806254612, 413475701, 961069815, 84559904, 118309233, 247192970, 45474104, 425187152, 838209941, 477007512, 8990173, 306531001, 632855156, 854961784, 699122457, 160588927, 264533675, 392528414, 202018487, 378289105, 610141226, 919733698, 694704368, 60013571, 532393389, 413464420, 473309961, 606084597, 406778092, 640898159, 41202673, 101345986, 840042152, 476760631, 390638864, 334163680, 899650388, 885486445, 473717097, 804422523, 648008086, 807189965, 723491503, 207840045, 538981609, 582396408, 114215828, 844727100, 922630662, 291679374, 338914322, 376098108, 57897581, 481570858, 108397800, 922935329, 512265827, 614349604, 657014519, 232392826, 744165618, 127877604, 554874390, 482611437, 396163312, 494597577, 723821942, 808097407, 228931748, 131045972, 417616255, 529455811, 800380252, 222927595, 547627559, 668678048, 122623875, 48217216, 71771606, 821386186, 313591805, 234362888, 94352308, 907659883, 655154433, 980029655, 516776520, 507607316, 34627093, 473574378, 519698183, 303983128, 939777357, 856787029, 566513300, 167999905, 561584603, 328209034, 533300436, 909778408, 582422596, 992752219, 3101106, 443293817, 370930737, 513420998, 193544401, 712644811, 771750719, 534986335, 952324215, 276149214, 92988547, 814940868, 287954444, 590889408, 927997816, 747043433, 667415701, 228666482, 480251360, 944581131, 34364736, 419540631, 503614028, 335130541, 539341966, 246487934, 364897467, 566386334, 931030570, 189582676, 269255351, 736094644, 170996985, 803257254, 470517878, 395534033, 481914480, 859394623, 340493694, 238686631, 734960758, 398047727, 851459636, 425012231, 875225830, 281042766, 122924977, 350294244, 694879136, 929177003, 882533016, 194055301, 132616923, 637435856, 658629935, 834346978, 775387232, 817744912, 564893145, 593492894, 106499434, 120449649, 524096663, 672830173, 952071694, 836062317, 588341541, 369804997, 821947046, 964796894, 819020498, 221659397, 851026132, 573570475, 162720721, 836047305, 203980725, 589021348, 250586791, 595644069, 252308421, 555426215, 9392027, 125363374, 352869545, 160428056, 494852331, 231172421, 421694949, 968705062, 701656916, 193926293, 771513449, 642516064, 70911214, 107252883, 87774313, 928345081, 52030812, 799208385, 136177634, 593750270, 907050324, 434465533, 695257862, 493157108, 215306481, 522363120, 589390081, 202008631, 169374678, 756676193, 251932506, 139074378, 509851262, 263188214, 671881181, 328504690, 783929195, 171522176, 383513435, 2777667, 869116635, 90251721, 282960186, 48782880, 729969927, 100519706, 306127832, 77754925, 470914455, 441260190, 978239297, 203970673, 582749883, 150681491, 573463688, 33745117, 211324023, 479554379, 50635577, 614898890, 704719461, 217361929, 558489662, 418947951, 676893400, 97083721, 403314690, 827942904, 926400335, 486095572, 16141615, 885806248, 464367906, 739293432, 325010252, 561962572, 807291394, 330704, 519951221, 811603146, 741667347, 213820291, 183956594, 115243636, 517460253, 80459800, 974764954, 329869027, 513146719, 136684251, 121011713, 903212516, 358236421, 720789357, 508044234, 680048256, 267357321, 963428002, 214734498, 599181797, 50709771, 997750222, 969043820, 969823708, 490106795, 948323714, 32289800, 242273588, 82324271, 224813376, 743461698, 346689277, 501334939, 672602906, 66201247, 497725540, 22752167, 247515037, 533425896, 264256264, 950938559, 850965741, 424444785, 804181611, 771100082, 996074903, 227641568, 311464636, 216923410, 865960092, 532312448, 948279160, 49352712, 522596178, 514285219, 817128974, 755799048, 70343335, 721096699, 998175798, 126249651, 205638226, 721646921, 946055273, 930118782, 192231803, 300891973, 746994542, 398376072, 780361093, 630953896, 814966852, 888350171, 859073574, 669322181, 267241156, 674037936, 89863996, 774167547, 130810508, 616908159, 66096496, 424919156, 798725648, 289751495, 540417256, 338799816, 453302887, 243381228, 236085733, 446675695, 747127108, 305901311, 760555700, 272607418, 597362525, 600674534, 782690684, 14916341, 377705767, 19063088, 89387533, 674306310, 987982578, 932356474, 631657642, 435419869, 899017235, 758755887, 579699998, 395320118, 708399980, 835370561, 439754716, 939462302, 350459944, 517725528, 804810408, 113385838, 98406128, 174855935, 928696125, 731762720, 654225607, 100052236, 64408049, 120530295, 790069288, 22134590, 483156939, 858978773, 874504322, 903196873, 217932252, 516399470, 819260534, 570471615, 854423933, 618269242, 435159126, 170686550, 288737416, 377540974, 345658058, 314894651, 113676492, 869390768, 273396262, 55827869, 836107106, 946815955, 498782507, 695610239, 701622297, 678939785, 189238024, 601108780, 213816644, 186311623, 517948066, 718418547, 436590872, 491031125, 856955476, 296953659, 822881092, 334001165, 177396726, 499359575, 902773462, 636891393, 369600827, 147828319, 112450704, 152801680, 764010838, 510215554, 39623003, 429453048, 464397393, 56970157, 431634592, 527568394, 25703109, 445265957, 412632830, 442873261, 117227423, 958691532, 770715034, 970440436, 844876549, 864045968, 184027287, 877504316, 473763041, 229466341, 353091342, 193493867, 405958297, 435290451, 447993242, 106654511, 437308416, 705178227, 226148938, 850928718, 443147341, 626992751, 395978982, 156996170, 680395962, 884777418, 99240146, 174918682, 645840767, 492002300, 580694642, 367029226, 193964962, 575352928, 709991068, 113854089, 237017456, 236860974, 959965499, 836486714, 526074955, 577471237, 181277210, 490923725, 141715614, 828299637, 133169519, 234436085, 508198910, 517559010, 37367122, 56779657, 172097489, 516242959, 877302854, 449749377, 524707248, 906329957, 895764505, 630425208, 844426251, 819822674, 541632868, 159948083, 246345807, 321571806, 25267560, 700918849, 683224486, 795648861, 76462539, 899594597, 332401300, 348697406, 598476214, 408895968, 915994450, 468057035, 734480450, 544576266, 828767837, 719245068, 105376487, 512530837, 736357373, 470029422, 660995524, 665949143, 201029424, 100825024, 208118172, 763985837, 128866186, 802411714, 108950350, 936263513, 191876840, 106480177, 870323442, 128554853, 535613055, 938288848, 387714375, 848392728, 803940225, 265432885, 203140155, 790304246, 433539038, 408457921, 948152094, 141824979, 982435665, 324219741, 753133290, 458391443, 721247726, 568041240, 160924340, 763856950, 279534873, 481832772, 141031113, 176357664, 361022591, 986982324, 875032717, 658909914, 692023725, 947179049, 605808674, 633449604, 422936094, 305482330, 822728574, 10895023, 75447714, 782956246, 704436797, 245244161, 587688740, 786549415, 640337190, 904238849, 403310678, 467763852, 424853267, 610892635, 546796590, 270577947, 53554367, 759958163, 565924493, 22084820, 164252653, 739880900, 758403993, 52736641, 458276327, 982495188, 51748705, 913851651, 437155599, 45455267, 85456269, 826097735, 118969605, 318220327, 145152346, 616152076, 542785603, 411298896, 925548533, 154033799, 483943513, 602941344, 133606669, 55432757, 241267595, 94753598, 22481877, 444786315, 18464431, 166650880, 691834475, 886718522, 738297621, 945172959, 168607266, 758956128, 22507687, 23264575, 859180732, 973210276, 304454966, 546246027, 797561254, 922748030, 535938286, 360553437, 491275361, 686043795, 330572196, 228192418, 969523825, 757780798, 483586911, 181902362, 387775415, 100144486, 218254581, 163142316, 268531503, 76425536, 634018710, 722133363, 35276485, 653841233, 517599248, 983559777, 593495618, 759767903, 55171640, 944214799, 384376213, 628886141, 124033625, 47557029, 243022096, 164935379, 962245635, 557957704, 63487017, 346745386, 597612954, 964079123, 114195556, 803102658, 683016521, 164215993, 589758934, 188479167, 434217061, 375327054, 526647965, 590190113, 398578451, 897578561, 383336179, 187164323, 628805846, 103664372, 801453041, 109088096, 338550179, 595978760, 988977793, 972786183, 652487521, 311417796, 13494677, 552090872, 439620742, 131201903, 933723398, 963441317, 498082480, 782142143, 414393704, 665941895, 45267719, 391950894, 269477493, 949683996, 369957860, 86331679, 374218026, 659060582, 417624002, 359591954, 406935939, 905136558, 464801202, 60319458, 694953231, 568985282, 75846834, 12757687, 980277126, 242487512, 746027333, 730909819, 689930531, 453520688, 365264313, 863362203, 249768326, 998058686, 305151432, 686110597, 412139067, 354383491, 73173879, 701124021, 319475809, 355053807, 423226660, 431088863, 3968521, 58806315, 724550645, 625102509, 873045003, 182369178, 975152844, 882318168, 205337366, 747894383, 795373949, 959324482, 466179706, 671192835, 296119457, 20887552, 817306446, 561043872, 801622732, 468992429, 540056893, 158672635, 522004624, 152831397, 136357698, 159629567, 496143794, 112781763, 804620003, 437734073, 713949189, 586803209, 442039507, 110868786, 370678943, 552776350, 127081646, 684911584, 404762682, 662081750, 590069207, 670562384, 556761480, 887581285, 943625888, 133925321, 811772114, 304072841, 635051606, 454629118, 880897490, 758281412, 975821370, 874391548, 386038885, 120194155, 32414755, 420150999, 767664218, 785269898, 534218786, 758464127, 958824347, 70200623, 366418597, 540975881, 368782227, 963300128, 285880543, 491875588, 848544143, 919975909, 593619509, 971138451, 35171927, 15175132, 653325183, 684799220, 673514657, 554883329, 593776474, 11059524, 617216675, 381366493, 396245123, 253785303, 909522420, 202200462, 298600726, 65777148, 460925778, 756412397, 801108563, 373810765, 498447671, 160669202, 847573471, 158122871, 75201414, 417998506, 141954811, 195116597, 276869240, 442173540, 668344306, 183975582, 330082827, 568829616, 644112976, 418689402, 911443436, 110344385, 552062929, 436641193, 239910844, 866726437, 184140449, 323716542, 495749731, 760389256, 406180284, 249026740, 294016138, 828836363, 195362334, 759516388, 741771722, 785147910, 885218887, 1679353, 339359657, 265588881, 462472680, 752483389, 959064885, 444221756, 268764853, 356994815, 145580533, 649266599, 585128781, 38599736, 640127158, 831748762, 243249419, 632918016, 514812479, 98807222, 920195122, 147374017, 839344442, 736420862, 434600500, 202988225, 454806259, 45883402, 25345484, 805508471, 435542131, 842020710, 676517758, 532394653, 110012169, 743069378, 357226793, 613789973, 735885235, 443296925, 96723567, 302219805, 492968554, 372618122, 186520336, 111499166, 544318983, 844080542, 115024831, 178569238, 838187958, 565226292, 115345479, 922042100, 53376678, 704179820, 587972479, 733508398, 606033786, 906492753, 134309683, 764465879, 386279427, 41169647, 752449935, 59559387, 252485668, 275351672, 220390277, 339356362, 31085638, 809975614, 501851237, 792867239, 693345919, 593182051, 244788174, 277999196, 311381054, 612076090, 523860896, 454564057, 613060003, 221180519, 664227040, 419863033, 712196238, 65352736, 807186853, 685814296, 95681689, 461398767, 946658321, 550064671, 919120123, 869619187, 614491472, 247656062, 124489782, 806105951, 655924603, 426276271, 960765173, 728297405, 382376486, 138342820, 89489277, 54448349, 192523871, 541722136, 496201089, 537578973, 659433110, 902986365, 47077093, 691301082, 227473274, 108708973, 634025669, 526455029, 942150210, 371335313, 77850306, 233738682, 984174085, 829989344, 784371285, 976958016, 408449072, 7506161, 660001308, 425336430, 191243127, 684563888, 667088918, 943203951, 158535153, 697081657, 882700604, 688011691, 694117041, 699320916, 759577175, 541365024, 414035033, 826068686, 462743779, 420858056, 236398813, 319891519, 403523834, 549535060, 651465241, 6078706, 367830616, 244982509, 528757946, 632251300, 227529379, 874664259, 461255188, 213320984, 842204782, 779815524, 517861701, 645112975, 425154924, 218489961, 79601626, 405599819, 49301906, 682637864, 697152823, 229778766, 208156385, 635839900, 612567942, 544461113, 583564905, 914054862, 915239820, 585439564, 148040893, 707082960, 279958374, 694971238, 800181452, 883667769, 121862348, 354805326, 142860724, 414407127, 971392137, 741733087, 346175915, 39840042, 94033230, 465746709, 957131649, 289352256, 772516136, 768530786, 297669695, 287351794, 721132709, 683745276, 841348575, 287419659, 669131090, 93347107, 717494971, 6748285, 758724481, 979824905, 719682823, 318424447, 895716429, 919659927, 33974269, 557792415, 73695803, 939435842, 545349018, 83613737, 365700098, 512537134, 64206043, 361582960, 677440602, 530079947, 181667456, 724014847, 582498038, 251589953, 839088867, 609610029, 25942044, 659618166, 819229457, 32115255, 931192897, 340210225, 396019590, 253109678, 411527247, 926745993, 628651830, 514951650, 288535413, 241555458, 851658644, 307303454, 682453862, 651672862, 894742979, 873522485, 609957, 674853346, 841548967, 655294526, 674397416, 891057897, 667085076, 392682630, 978088088, 363310448, 978938719, 442947679, 50484962, 336657003, 569892791, 673245068, 285681694, 756518535, 276718096, 619429742, 663530356, 860640050, 169716042, 490409387, 166871689, 270604710, 126126704, 916449433, 628409951, 248638832, 729699303, 890759411, 851578122, 902955173, 943890156, 696280954, 984197281, 675316328, 860540386, 660306758, 119052463, 458645604, 828645436, 838954059, 846187700, 246754733, 853509640, 309813792, 516977011, 630791251, 873880699, 145300761, 776238929, 275945908, 35086913, 518254034, 565264375, 63621401, 402875587, 757995165, 381647061, 366122522, 816877873, 158287209, 92320160, 108822059, 426565218, 655433255, 433364079, 848763201, 816614490, 631410767, 689624828, 300778620, 323548196, 258647249, 217476789, 327363211, 389706387, 339519910, 44921059, 690554089, 396972066, 32072104, 516860388, 198893765, 93991562, 277539169, 485683075, 418721614, 790159340, 264362452, 242900202, 183604672, 343783346, 91947083, 354167995, 927258683, 576553070, 969196132, 75783279, 11763728, 658258314, 933371557, 57829509, 992536766, 810872833, 856567394, 368696853, 326160895, 68353280, 746766341, 797570314, 134545228, 188741043, 634015855, 1287069, 135636159, 490132201, 839366475, 564146898, 116494062, 322682385, 628791864, 806434943, 557837080, 517975082, 410770981, 567151712, 177992827, 110511634, 107497691, 745077426, 761141655, 452263614, 296664826, 798141485, 932601926, 470648280, 108125929, 608993437, 818957373, 550055266, 61318359, 944685830, 949969820, 404986889, 734490389, 435881178, 362494467, 908656439, 804783971, 616639411, 311369153, 409534202, 468918367, 155606185, 202705731, 440801047, 575688835, 561745001, 367868934, 210047820, 731025955, 432033919, 532272029, 927890293, 577433055, 65171686, 703933643, 289326539, 807401980, 406881205, 750458209, 842589504, 505597012, 958032450, 503807165, 973434566, 219576813, 791930534, 22712269, 576822280, 895594428, 92287916, 844133046, 628234613, 123186743, 931454399, 770680545, 735349529, 569844802, 561996408, 742842237, 802452246, 646215986, 282087765, 351664312, 774521636, 965047152, 844625054, 586497174, 515894843, 864643973, 258762859, 804186638, 816960404, 839487400, 234020012, 906275010, 807751787, 295905850, 519727895, 814729871, 903111344, 267951764, 833167707, 404604085, 208900562, 307216750, 262901150, 198140608, 701626993, 294367174, 323830547, 558467784, 753619932, 290678986, 764763173, 656556773, 5197474, 237000633, 622359352, 444671443, 99445531, 729480226, 960778920, 639019535, 222293153, 86631947, 262893688, 717913786, 550286513, 654494988, 952737486, 403258127, 870947956, 770029586, 166320676, 225210382, 638829448, 908661809, 928243991, 344876810, 255777676, 638541545, 318894066, 513137099, 513724046, 264807406, 141002439, 778137832, 99989638, 409005627, 524247909, 145796714, 567422700, 887565141, 238894704, 601065579, 341497785, 941907501, 955761700, 926325792, 862432294, 653837675, 996318167, 800681407, 967851912, 298376754, 350285971, 240968011, 854944433, 838088931, 674788386, 639762070, 588018397, 637185559, 784289352, 218737034, 745792225, 161948278, 473735404, 377096796, 241927206, 978702146, 922305917, 545541129, 53708641, 619538668, 116750773, 759304082, 375205310, 718145487, 125624733, 166189958, 844858003, 201482375, 861441157, 105530315, 83077940, 682398423, 869222439, 155563492, 739490095, 450664443, 678626165, 72904421, 299490679, 514461326, 241537194, 910120779, 820327925, 340810342, 964390700, 565392002, 245533431, 647915238, 30903616, 984067315, 817422333, 892980758, 129799946, 263236783, 569414386, 526860219, 748969735, 729135628, 966428665, 74091809, 773182346, 382408050, 154277798, 610927249, 691418618, 117268965, 436609513, 258854018, 529223767, 679531241, 207615725, 497797412, 591312292, 728357706, 142734872, 908901357, 740008264, 845691626, 611774689, 13331356, 535269054, 234544761, 660445056, 75660461, 170561295, 981848724, 654281494, 62557045, 523526992, 936764672, 849518505, 189717736, 381932409, 310366126, 561069302, 702336258, 181430032, 313436204, 218232211, 159238758, 64873734, 146432957, 316591666, 182768580, 37714513, 762895041, 169602630, 606807783, 24786880, 713710318, 56604785, 986563383, 604746251, 453900889, 637023674, 268759114, 742594823, 893492358, 149638286, 149237186, 674686758, 623038028, 695924934, 779090091, 146393930, 532571331, 454045906, 256858757, 928494482, 668063194, 52046201, 88011734, 423369226, 891448562, 884166406, 809759541, 725585837, 267745013, 65523721, 109477898, 784815041, 478103469, 310756036, 501812366, 441519354, 893520644, 284372665, 638581049, 848384476, 679232653, 678082385, 589995396, 138561513, 214214976, 948809760, 456341659, 876839638, 653463585, 979748844, 81774405, 588097114, 323245335, 767303716, 304740580, 789693868, 63043016, 226586014, 91491228, 822692401, 52909426, 122045336, 870069983, 645313937, 316001456, 459437388, 291254059, 392280831, 536314188, 102252477, 719090502, 396116399, 357320554, 15213000, 947756231, 252536375, 503990747, 766809778, 397154679, 942997308, 638865088, 794786729, 868906557, 160370175, 192453123, 345163833, 271329233, 122612197, 983553187, 405676564, 563615621, 359024059, 524505722, 670846317, 206592317, 874220881, 736207497, 15695691, 209161442, 491804610, 140533489, 58444072, 434357879, 234506227, 916057639, 964621256, 55125690, 313935274, 528344643, 219810570, 356818363, 137352996, 330587198, 943102086, 829139549, 382570071, 827733146, 502397096, 941785447, 161369519, 261661626, 198787635, 396899715, 654835419, 289594352, 621954787, 737225983, 410156304, 206674918, 526050196, 601669439, 580677468, 584701248, 893146491, 703512118, 690383212, 977901393, 427800277, 636511868, 350415137, 733904199, 310675930, 519007843, 395539985, 162706588, 216793910, 27330846, 246713928, 974477308, 234199402, 534240016, 913765481, 645377928, 862284585, 950313419, 349100021, 746150881, 928689086, 352221203, 318534335, 327819385, 128166957, 795680681, 49522040, 98228521, 494438721, 661083359, 264237874, 542410965, 264702059, 422547239, 843876342, 255782789, 821434552, 20669131, 896808437, 595998827, 152969534, 118072978, 44214096, 217306396, 516792566, 12410960, 60096592, 460195566, 230453467, 613935441, 327097050, 353622316, 87120515, 351761061, 501978697, 905687054, 268809395, 429807530, 761353126, 660416826, 561285682, 383640289, 574057467, 670933968, 394151232, 775220183, 581911950, 439931152, 840246612, 525023760, 455099827, 623973170, 449932122, 825574515, 476141207, 771111624, 706906016, 560006959, 816351049, 892504672, 513404768, 883814869, 896059895, 856108355, 311088619, 491189447, 371226431, 599756054, 699417402, 697492366, 541401658, 980688253, 966499333, 126110174, 697775211, 864120440, 723570426, 347362771, 197132785, 172083468, 219677901, 103236264, 927906802, 388048833, 393368216, 55899811, 82487217, 118550680, 496942882, 287596364, 883503672, 705048473, 157803686, 298689905, 851629435, 108198443, 806510345, 779889684, 610410670, 605740646, 895592570, 22526370, 415805228, 901014572, 179146843, 267852062, 742548489, 65040418, 193533165, 614401627, 296342572, 129756023, 841254155, 339188648, 884386662, 157489248, 531478552, 984465119, 69125036, 863545888, 712897792, 221087186, 788982332, 625922261, 615984261, 429277985, 272828441, 347824178, 549875547, 440982949, 769757793, 266846506, 720554367, 627191137, 280244071, 95803677, 763100037, 747504863, 391889765, 114144084, 948080646, 155128559, 459241362, 245343784, 359547891, 818990634, 609920328, 870677606, 304337373, 139037079, 762582851, 36732433, 695066533, 169842807, 912293536, 297312850, 57350720, 104452713, 425229843, 13993171, 866235970, 241916413, 394521418, 912920091, 106427807, 898040999, 924746568, 714237685, 267825105, 521173187, 528653390, 872655583, 634653984, 731723439, 226742389, 674939408, 639984506, 759496145, 284649066, 226934614, 956889115, 787715533, 827364582, 511069549, 649618112, 412019067, 10862271, 280001154, 286262573, 863926508, 609178082, 76509537, 948018077, 675140175, 653611, 464172437, 800975970, 923617332, 23398063, 539229173, 423305418, 510716991, 318112171, 920190860, 916363827, 396111056, 421387655, 309533114, 543013810, 145308431, 14436163, 460176615, 441407963, 528552863, 304959582, 602614523, 554702189, 573800842, 971544359, 338143732, 461381036, 853679764, 411673702, 136245486, 160269604, 997210633, 549579955, 780901235, 502847891, 55427249, 348780960, 576281923, 460624932, 156198079, 27866589, 899887003, 291715193, 629370156, 948011931, 455478272, 413515546, 250554687, 508333503, 471040699, 517484832, 682286776, 191882175, 972998149, 298096193, 445976013, 190154320, 337772891, 296439080, 395341597, 182155082, 759385359, 398477477, 23115128, 984549834, 512878981, 238626078, 639839103, 454049327, 428076390, 702244570, 577783040, 590160550, 146447651, 15227703, 501241732, 177560206, 608803340, 858658026, 693083133, 22254998, 670700343, 883511272, 954166099, 417333086, 571798843, 238703835, 474096575, 386707653, 724103151, 952501658, 702630162, 773418065, 772580476, 648682643, 530918826, 72751038, 416255332, 295484970, 549336702, 646084330, 634137735, 219138887, 918762135, 579232108, 357669985, 759336451, 204783165, 708927169, 216536427, 645196198, 815947713, 672214520, 630988755, 807618594, 743487673, 753418401, 610503299, 36790980, 522110314, 502417715, 352725096, 674473374, 687333539, 452346763, 832631190, 12206912, 698811410, 873654684, 841225327, 914929896, 446963960, 377311649, 958137085, 534486851, 857003773, 39911639, 136679209, 456651795, 542215703, 887074303, 246892301, 890595339, 28893668, 723009018, 696054530, 495284476, 590461350, 854275493, 74351868, 663788056, 645292201, 513029362, 285274037, 361258038, 445998673, 58761719, 961999751, 848543725, 242248457, 931261860, 492004977, 459897886, 357750024, 729368743, 979819880, 263415187, 590895832, 499717792, 106446023, 646732628, 84623820, 468184580, 452122066, 167132020, 689591556, 354025198, 180584345, 471193744, 525766737, 132632012, 498025844, 542670355, 666271908, 950197465, 1239359, 989646570, 942990395, 995818348, 465900873, 624677107, 555301738, 932592467, 820565659, 243223213, 40231385, 373712163, 308507731, 931379214, 274491833, 623207005, 632033366, 612517165, 639647835, 602478571, 409050195, 730127417, 863234611, 458212747, 670975029, 957842597, 123039459, 308285258, 833353392, 290961223, 62704722, 943455699, 226324803, 675555893, 14795939, 202124916, 539217405, 704728462, 656621339, 324677437, 161850658, 884805946, 507761951, 958449816, 557852930, 479259886, 783186117, 221505567, 40878645, 162962109, 15306407, 769606424, 112972594, 184894061, 320563194, 742472086, 974007397, 374887660, 19862034, 519555741, 760006889, 836968978, 600388171, 510867892, 234720582, 446759165, 24473136, 322292560, 502221422, 956200135, 924595314, 370183340, 924262673, 160985339, 341778774, 74115099, 967597498, 879635193, 719475068, 351529071, 217212282, 366374626, 154793464, 737238861, 359168476, 290529348, 751126638, 887020782, 596696658, 188243621, 454741670, 506799748, 932234581, 638925894, 733652519, 475813778, 328790927, 790663703, 652284730, 297039215, 212715365, 66936647, 70410728, 287300801, 620856857, 317982831, 475579654, 944304792, 804492380, 640703057, 637316587, 127272227, 964916891, 668680581, 543794207, 551318410, 453335400, 53935623, 255713615, 657534372, 285007138, 688097223, 905813094, 861663713, 382423868, 981908153, 861707685, 634276112, 44730652, 799958705, 292438646, 59290699, 449397346, 670939732, 117602468, 999564244, 871896971, 155772115, 470636841, 937260486, 855503429, 28023345, 996168255, 193274095, 90033179, 163050350, 770498357, 679081650, 794601403, 468517156, 668989845, 122717418, 166203395, 774178214, 936290870, 631468045, 244786089, 100083871, 436819765, 556273426, 641957264, 217324167, 39105395, 24006890, 959467359, 508733002, 456794833, 192479020, 782368409, 946941774, 508225725, 845151666, 757021787, 11852953, 426839572, 952076607, 263498955, 35248595, 416565801, 967901679, 148023460, 473855923, 741063813, 346800241, 789574735, 926858564, 805828814, 71877992, 602911943, 969732358, 697353691, 504236400, 858943267, 462708483, 732445350, 774210978, 550116759, 593523449, 152329914, 17003552, 512496348, 682986914, 151844832, 878060054, 639156802, 416262935, 343861767, 466598722, 441823423, 847407662, 444059217, 598541444, 206145786, 905678286, 39900405, 881030847, 578689908, 520885120, 203515444, 839606289, 834972735, 685762610, 15535481, 459518283, 182044078, 972304645, 574831946, 597440129, 367695378, 13481047, 104576215, 895763058, 302747884, 295148202, 606022765, 488195282, 873885990, 80979412, 142031327, 44713183, 967350900, 930770971, 935975028, 109521301, 621616715, 294545885, 767917393, 173596790, 803692455, 254027543, 231844491, 50925047, 296840164, 555182750, 481209745, 129544882, 201760309, 65427737, 920778328, 126415808, 344671253, 115903192, 297974741, 730451028, 656191981, 962671712, 451741635, 397830946, 290804307, 995859886, 96304453, 758636649, 93226984, 562264628, 234075960, 935354869, 993147690, 72199716, 821104845, 902019363, 408486333, 29806843, 854188846, 173677282, 433677588, 601909526, 607373696, 411902280, 903674072, 533310710, 719996428, 123798261, 853901207, 784712047, 580814967, 422343341, 184458258, 331036863, 719089129, 56687009, 727305623, 10505150, 554666726, 687917431, 422969386, 452309646, 483143539, 684233345, 18422156, 947475923, 197111345, 923274635, 429634573, 702013672, 590539663, 743981111, 369604007, 502656441, 359234698, 451750187, 668240729, 73095826, 808063249, 924208236, 78358005, 858333327, 226378829, 518630657, 325070435, 295724232, 404441959, 453763775, 176533752, 731791310, 655599972, 814201578, 635711576, 506243121, 890581558, 341178872, 30730907, 844139187, 663658331, 813819081, 276778941, 621043020, 816802569, 801239729, 343690782, 491261780, 792003677, 113754301, 993944373, 994774191, 132323212, 929089437, 492907353, 45972438, 299909396, 476267367, 277750585, 728249004, 775561144, 43677178, 751638316, 94252671, 630440710, 280254059, 741737508, 62042212, 736373674, 887044237, 194168735, 192147276, 358141209, 203609442, 966838986, 316814460, 146639862, 33023784, 35633445, 677055162, 139593229, 834937259, 467877931, 108454529, 578864060, 817023534, 955042861, 212189492, 293552922, 320335134, 397081992, 710146963, 268801388, 12254519, 409405312, 367354747, 437019283, 527099222, 313325765, 341275642, 559281989, 517311276, 510208979, 387435500, 57760131, 525272792, 311055374, 716279565, 509932816, 699481115, 4518172, 831812160, 100156023, 765154519, 853284968, 736902460, 438062931, 920323927, 948921445, 949525947, 576596800, 533680172, 609843398, 892567487, 610335839, 720364430, 577758994, 42116222, 185673628, 410312022, 307329717, 225713657, 76175319, 53383780, 778350931, 850252696, 455734239, 610781624, 124630875, 704913301, 566480413, 692226216, 421612326, 854048636, 214665148, 696939401, 245168864, 839122852, 807699489, 687573007, 979535160, 105568231, 751741029, 842243625, 457441155, 481220919, 290556609, 350722664, 837611607, 317287777, 273196923, 458510682, 317535448, 64328696, 175771246, 979504270, 600673554, 874142064, 531414084, 856848107, 618151222, 130645002, 35674494, 451820005, 146854450, 482989768, 682814913, 860836769, 557419123, 709258586, 930747946, 69989421, 985592585, 439104631, 808893313, 518194884, 724915252, 70193356, 226870070, 179856913, 651293752, 462282575, 907462923, 53619567, 59113825, 713899706, 303757577, 217091576, 806157979, 7629132, 752417608, 25134135, 230668707, 25491256, 120733976, 345134978, 706511419, 506161004, 27961297, 394087167, 917876255, 424193232, 112168588, 328315026, 525803170, 352291403, 437956888, 200939293, 607400817, 335785243, 539339506, 250592051, 395018560, 289859738, 933351600, 436062217, 762180759, 203018383, 193935830, 174697567, 631989541, 330938543, 97398701, 42062082, 671037790, 913744665, 397347567, 533566166, 680579952, 410762153, 605738870, 544268183, 148777629, 613775172, 390660648, 209749730, 674386898, 133946564, 573888832, 220468714, 608770505, 266225724, 525838830, 821543506, 760695755, 834674815, 852234541, 496349497, 16580828, 788375701, 722788328, 587414480, 764950425, 677619079, 229538080, 262833492, 965241024, 959335483, 844395882, 94831131, 677186099, 908922190, 286807296, 715829792, 86681542, 418755552, 681214582, 240002809, 666843173, 844668228, 681221441, 853618471, 44264483, 113267847, 975151776, 673568256, 363360749, 494774531, 500391532, 718826516, 823774419, 793974162, 45937234, 415352723, 218951283, 683103946, 930256343, 846413605, 312415291, 486438396, 878619430, 332691447, 928441966, 235681941, 877843786, 476907306, 756951270, 905234732, 893140207, 681005111, 980599887, 340756284, 574163268, 391289180, 694874731, 376263165, 507996342, 227407153, 321650006, 379974232, 677850097, 650084971, 41580068, 914071771, 955939789, 157095553, 316751986, 563529368, 834530988, 936983896, 149054899, 348708444, 613940856, 378560900, 530189900, 722593705, 475114403, 858101911, 802178788, 898692142, 988425221, 565402778, 133298659, 891917148, 61742607, 648422796, 628277187, 838345023, 683435106, 826691308, 347176437, 368689884, 784070742, 235114105, 819284720, 734455185, 895782308, 246180643, 646609892, 258185080, 844853751, 619766469, 5241087, 833101197, 172480987, 811529343, 217304843, 992659187, 708551240, 352108675, 960478452, 923086838, 75836578, 543760106, 674812932, 533457866, 498924903, 192940064, 889427563, 675202708, 667040170, 547446115, 393186707, 739030743, 98567681, 421997733, 512521823, 140810054, 522691281, 922266145, 243130627, 70281443, 83041501, 897627171, 426413991, 4500255, 844950065, 420218935, 791861539, 521426799, 560950022, 632773253, 528873936, 97325327, 260764153, 197765823, 972550080, 976524480, 207668912, 707436055, 47550474, 232206124, 50815648, 636139773, 660579400, 656783677, 195910028, 10734120, 508851321, 29183177, 550885614, 453080374, 611969121, 810062019, 963801027, 178448514, 193889350, 52382659, 286000418, 323883250, 303928879, 468118652, 73327722, 454601640, 992958374, 309161105, 701030972, 732866595, 378198202, 646677613, 769451424, 652277369, 784046748, 923975282, 649164388, 836022753, 619468275, 651711884, 48427200, 657794789, 171574199, 30781222, 464779355, 442486624, 591400900, 74817215, 282468589, 881544300, 287432058, 206635809, 325315665, 279849705, 344426700, 568243898, 733128775, 801546642, 640898795, 991051624, 203915171, 578538736, 20266722, 651673429, 247590288, 357508818, 552701476, 440071757, 401557259, 911578672, 283262758, 984815008, 72209635, 251252450, 642933132, 349260490, 903198902, 451861685, 429520743, 404139691, 114686837, 530338035, 29951033, 650335710, 674564378, 823917080, 601825991, 388602660, 720149357, 227250638, 694669871, 94426948, 47253924, 527639684, 509840425, 48000295, 535162897, 620863911, 208121147, 391155956, 637059679, 893215098, 484930157, 350943451, 56143212, 344829811, 529801577, 160630482, 212264158, 774379344, 351505060, 635315566, 998927541, 157464482, 233684201, 188220607, 204982739, 940886275, 216320300, 597628899, 685407172, 252649972, 756859966, 128245763, 344983008, 57374439, 131464170, 615635414, 237424800, 482317509, 868780551, 492298067, 75941773, 109925184, 408395553, 880232169, 757447268, 687153089, 56397958, 344179982, 691219827, 56281370, 868607418, 966428978, 455688564, 761819773, 321663709, 157261220, 149537586, 195503800, 812747816, 800858322, 487147941, 554424950, 246724296, 736952532, 150133067, 879688858, 511633520, 108547571, 48733488, 886065812, 519474799, 753594171, 578989355, 48168912, 504826003, 653944510, 968256524, 192960339, 845355083, 638757619, 816845325, 776464153, 284592586, 885790772, 235179996, 559308317, 377567749, 242328361, 674866507, 759954347, 969560540, 295999446, 797323221, 882482086, 764617035, 35002677, 69172354, 105551761, 496944497, 468364054, 562193207, 760690711, 34815681, 366619790, 396338313, 409434044, 838576360, 439243295, 879091893, 764116122, 403070129, 162206649, 688410978, 995391129, 241271573, 201172885, 129622951, 916143520, 89510248, 777325620, 526386474, 605493718, 923411604, 784785629, 451558183, 922551580, 452203976, 614799899, 536097825, 43766968, 402465100, 821738636, 766332340, 673754929, 329464259, 401288202, 544948171, 161296876, 221901174, 721972832, 265249440, 196852938, 221651406, 344004670, 11261071, 883866161, 858037513, 999739220, 707406269, 647917352, 572872470, 825830605, 991352818, 508273313, 811870564, 752893475, 935822791, 910177921, 629811832, 87145884, 930258390, 29537611, 890802706, 551047464, 343035641, 997703795, 471351161, 938606874, 745456757, 268083428, 901714215, 927772416, 765960790, 24508903, 916619048, 265458301, 796704377, 634720762, 627147733, 802272475, 776984150, 996485655, 548157013, 142110843, 716392152, 864808446, 808754718, 764392405, 675088725, 358101778, 999510791, 485929314, 52835048, 160209249, 152802818, 672744681, 976607981, 697056654, 651167306, 493973947, 637983741, 849191636, 311531414, 52931943, 142611574, 742288255, 495923299, 692605819, 368900034, 360772910, 716177323, 740867530, 444316590, 736505207, 942980380, 514754361, 829534286, 460117505, 168592952, 879380748, 811743581, 445408105, 598755970, 634541771, 726545831, 778898068, 134859486, 307663066, 731631239, 511315214, 171437141, 414355920, 992900837, 989238289, 432809009, 673503506, 611065310, 801149231, 932669225, 604782682, 300969971, 61753328, 69784726, 764892843, 856688647, 265234965, 916929828, 598362768, 937664444, 672381810, 509414539, 402587159, 305023485, 715387335, 635676618, 746647237, 69345528, 434436134, 993123577, 793635137, 995139457, 876563527, 986730714, 565982769, 136629143, 998911247, 42984641, 565395143, 245660276, 303055731, 21235930, 924083843, 865572097, 9590985, 731868945, 68699531, 305276478, 630622297, 225132652, 115959947, 600340953, 392134549, 321163476, 52381326, 401886510, 67160112, 26556850, 388625186, 882072412, 579658284, 853990097, 365837276, 401462505, 878945031, 587483102, 686409621, 905768823, 377983047, 71089629, 72813572, 513654167, 355403463, 808042275, 675303681, 255570242, 16142284, 186952507, 258784944, 809161833, 976905609, 735063787, 401533489, 209152590, 670576063, 395718926, 134136681, 848581273, 324188301, 940416774, 3654149, 880803961, 111627822, 333242350, 484398331, 821496495, 653788181, 94551982, 332625209, 109485981, 405309324, 967278837, 779898013, 162155505, 817289648, 214179507, 911562593, 104057462, 981676340, 362394984, 292762382, 523970729, 122087581, 52929677, 77580388, 740660794, 409165718, 432087289, 90518256, 396568912, 62730687, 494126732, 530822156, 444160081, 269372410, 13544963, 238024512, 889058075, 311508940, 388286696, 297291369, 989009812, 922751761, 36957370, 559481480, 68283427, 337576586, 929624300, 663562937, 709580219, 423932956, 368919144, 634553916, 217318479, 903860449, 42555110, 869486039, 300383653, 617838464, 165613951, 938608046, 952763726, 229689389, 514481480, 662590224, 318254559, 177847862, 603701410, 953093723, 678552383, 524361638, 518621982, 83524316, 298381417, 481688608, 488430590, 723431923, 869764527, 161002847, 349599614, 179815660, 582868051, 597633518, 811388361, 812368800, 916842283, 98799713, 15888143, 533305176, 322575546, 146696457, 776704479, 800484601, 403989946, 786064931, 379681009, 536176554, 394135659, 904228305, 770721983, 321892804, 353383813, 707622662, 164386384, 643475333, 103612459, 873923411, 419819702, 656697625, 616632211, 32981178, 90592628, 11268692, 271740308, 123208160, 401084923, 806102458, 616814390, 105018622, 29725533, 107842426, 535466463, 259068045, 812045590, 488230438, 311469982, 59870257, 248692410, 216310648, 949945793, 571392323, 112896397, 132246696, 331578634, 677452537, 254982251, 617415555, 103051260, 127883316, 300217651, 270899255, 243834588, 325323257, 511760204, 654590460, 280151316, 623275330, 15429939, 687341326, 926955745, 326957373, 484412951, 543107233, 874717104, 165528270, 369128639, 703535519, 279764353, 107903664, 896067598, 533788873, 568714974, 605711581, 297401308, 966500872, 869354117, 196170273, 835285782, 430911187, 303794005, 375870326, 276387423, 923975170, 178953028, 261023706, 189311877, 274299531, 796745701, 478067124, 50441558, 161403949, 866885738, 810981592, 773366553, 580785342, 37903099, 209862609, 649476435, 302347862, 549425945, 842272730, 835948578, 680952477, 271147694, 270961407, 763143034, 632412168, 865217851, 923550785, 206079725, 420586269, 799701054, 114994376, 416385747, 830944790, 337607035, 715665117, 800633857, 976965746, 173027967, 846548442, 436422307, 75730865, 462235105, 179401832, 221378691, 944407173, 160127530, 345153656, 543692161, 483702958, 92057840, 971506228, 279937154, 477293598, 77548566, 331391489, 852722776, 765339827, 718713237, 222818622, 894450660, 551544118, 936430017, 16168034, 491793612, 902399490, 809919345, 477794887, 895174489, 287393876, 491434744, 450293316, 426530152, 558999004, 696945012, 384049721, 410261235, 97933182, 200680637, 185349638, 766153575, 87929963, 307892758, 321059538, 890233666, 309611078, 670647726, 551732814, 145310871, 313627502, 245966363, 824533718, 377453223, 171339762, 858064970, 341523746, 402713469, 40873556, 253225403, 81290980, 733417629, 37758374, 25114969, 784141317, 899825618, 812205427, 736853177, 723536791, 80400721, 816209210, 953489114, 491588768, 773647691, 521293359, 702766242, 199430356, 793155978, 801187870, 600216723, 389956443, 469128753, 882010142, 268305050, 530116497, 597406520, 577408066, 915735486, 947091940, 376026355, 605337957, 55095498, 119085681, 304606837, 491020121, 381644720, 8759261, 200755830, 889074611, 629777262, 906681287, 692314422, 936650445, 766468853, 335572390, 101919549, 739729337, 500388678, 912201004, 172874399, 482307649, 4095673, 395998648, 708404726, 832118048, 973014190, 218026184, 701267271, 542820428, 460126794, 488819498, 221205037, 670641271, 317555577, 498454373, 70163853, 68833048, 390535526, 168158476, 347551838, 464211638, 518506743, 915334316, 493577721, 417266195, 225221304, 785865460, 154790355, 227397125, 149306691, 722667819, 531408060, 509922263, 145728031, 399444814, 995947710, 537708929, 990326565, 879870733, 662469984, 186757688, 142371740, 367187412, 444561814, 172932415, 607696874, 293125151, 477097829, 198004047, 658592660, 885565462, 735812337, 203387210, 802997509, 14720734, 761951290, 120766677, 728501286, 497299105, 202066779, 990099218, 978158440, 671146272, 447770334, 193802216, 252660930, 505582646, 822267798, 407634040, 20405485, 414420025, 677709080, 685829119, 3358990, 833392572, 785780720, 17255269, 392153236, 372462024, 347644795, 150796706, 731726650, 420347065, 590196723, 441866825, 304300753, 538409041, 801873276, 190701861, 241562168, 176428676, 144648867, 364592967, 926186201, 256888551, 151970011, 724208570, 405651423, 699414150, 944332303, 975615975, 807767907, 907839519, 866178192, 620153433, 870796990, 667255944, 636640938, 661902467, 197602057, 177912062, 401597122, 639989973, 618826656, 306891431, 393213341, 179716395, 218872865, 645320644, 458659307, 435398080, 499702679, 210992247, 591809588, 946748785, 52693828, 942033706, 364168263, 948793106, 531055027, 381088744, 147989894, 614379709, 97447387, 864062105, 261816467, 829674983, 651113979, 598024344, 631642380, 878672990, 396566849, 86435122, 956323221, 566225960, 214237259, 322392165, 603391567, 755797413, 141925056, 886296702, 631007649, 270700915, 511209009, 944111816, 246229654, 593627539, 495584646, 964177676, 626856074, 420586797, 292246522, 702975773, 395861055, 429546334, 979717573, 633551830, 463561159, 42089758, 153886383, 663600476, 593835618, 643602361, 279708686, 611773378, 652395358, 665832971, 566503289, 940759769, 829919345, 84911913, 33848036, 218077142, 805816201, 257315906, 287290311, 512378183, 124295045, 537101359, 869865632, 60169310, 949896725, 895200317, 745772369, 918116608, 929957653, 308354420, 466171888, 826190947, 676980663, 762208763, 490716418, 765189435, 243171423, 719624691, 671376257, 256041224, 650609602, 500423092, 171620436, 104022575, 803273831, 170408275, 380146168, 439029363, 92966740, 190727326, 371082725, 520103943, 861152372, 373302844, 586626657, 18855617, 667959685, 349778558, 859177732, 625998006, 988548264, 615111162, 307766823, 835458789, 61524304, 580918193, 490303308, 561014985, 384218539, 894108139, 213124033, 594918271, 325819490, 93988505, 68530576, 870566218, 992034269, 28497569, 765795488, 810466544, 698914910, 903245931, 399362109, 52461938, 513569711, 704842936, 5740928, 133930666, 614786644, 812574471, 27873113, 75961449, 772005911, 734312701, 98165838, 484025330, 663201194, 730948457, 510345543, 213245720, 367915571, 564045725, 204204197, 932759820, 685406721, 727127191, 899213229, 404998382, 623483368, 638187727, 279218558, 363304743, 817550756, 331586479, 367285814, 628969182, 162834044, 665620180, 42879863, 295895973, 845433367, 116737024, 681567555, 241742271, 965822757, 476558217, 601139452, 728337800, 77383824, 181931848, 286188985, 495793646, 17211381, 661760786, 935863207, 168621316, 87385813, 837648601, 787820526, 378983903, 933476077, 774830545, 44172938, 227254170, 339957832, 934667268, 369760544, 503349334, 1300610, 30194697, 294492957, 860230577, 431277771, 260933439, 249530981, 404844917, 715524925, 519110372, 149482339, 475687065, 20809637, 187081805, 303630298, 142098294, 42488725, 225275226, 273293966, 146793419, 521067909, 557259613, 538114914, 288022823, 505188527, 950451136, 542197132, 510285571, 83615108, 203572573, 721186910, 105606839, 381999636, 773650688, 26888501, 198575715, 66580867, 661393874, 782163377, 2980831, 358473041, 563989103, 909593567, 137669380, 557820305, 113095562, 877368595, 674966579, 265562610, 166961905, 617447197, 887834030, 333722460, 55345974, 474261352, 134399905, 317291596, 752893094, 173797853, 771515640, 692149519, 931631417, 770987563, 980954737, 904734549, 378032296, 735405168, 470399345, 5223343, 479821075, 76741115, 989581048, 464714214, 518851647, 360828038, 996151474, 937390374, 315420064, 483668734, 99505404, 532161887, 914494410, 304192285, 306356634, 443542747, 953369482, 133673137, 460118104, 382475159, 405243685, 643954148, 464970023, 635694851, 71988540, 727815720, 822761199, 49783590, 777292906, 162800216, 613035651, 107737561, 962462769, 260957505, 742174756, 377778448, 669589216, 618683022, 36928359, 424362506, 650509454, 616116159, 690227938, 883519558, 987357226, 601689899, 586888860, 387493489, 709735608, 349887464, 112413828, 503103568, 984401736, 94569181, 784431985, 669806977, 46385063, 34683728, 432687935, 474018040, 508406096, 134374082, 918667499, 860575247, 36241328, 482182020, 714755365, 727326641, 561704795, 882354829, 433727391, 284082888, 738656970, 427655948, 143183496, 732865635, 209324256, 976744265, 402560415, 199682761, 939326070, 30651731, 34853947, 37232901, 283006825, 141780434, 906944728, 123067972, 223535420, 11646228, 403349389, 602609961, 675930780, 868075260, 856394108, 341033628, 515327198, 811887611, 969170618, 516571935, 391924100, 644876227, 933096835, 22807274, 340117802, 415408026, 5547985, 164367545, 614670634, 637294122, 790715161, 124399409, 877926096, 584343287, 783307204, 845652875, 920175812, 724031081, 489205272, 592999870, 715141348, 754870919, 514258025, 145055453, 799580773, 403282483, 754151279, 314529142, 36159509, 101472995, 317613485, 107658630, 329403626, 533254384, 29295663, 598671291, 153123433, 626774160, 308699528, 272929534, 126169446, 263447992, 730373908, 262446590, 333664842, 415809542, 198620989, 452989877, 389561813, 687843731, 52109923, 278127158, 91979809, 948713106, 898536543, 796061726, 605610151, 937133816, 576883685, 727289597, 916072755, 887294680, 443985901, 642358078, 408546035, 711619805, 75179366, 865307648, 95893680, 471951979, 756167927, 80786122, 793402127, 78649037, 240779539, 589819856, 958978138, 611637511, 946140423, 893636953, 667516950, 7997866, 604300711, 632010541, 873972503, 631131752, 549429524, 717165010, 348746027, 95238619, 614079314, 698819380, 635627559, 500328634, 199532546, 18140766, 207832216, 401266034, 399116655, 893465913, 500526205, 290600605, 654806666, 366671446, 780674128, 756105026, 501537079, 17361520, 883149953, 680443420, 737835255, 635831786, 826421406, 288748375, 681072556, 775310554, 338083331, 865969486, 188530625, 20776679, 130876610, 406458393, 530090550, 478642156, 196946221, 519055383, 114044597, 139128559, 651847167, 982954587, 844965804, 878040956, 62353954, 935332505, 911616025, 580841829, 221197616, 65887153, 542219308, 226157176, 727189362, 675105093, 323328133, 747370259, 948034449, 414247081, 41121413, 790356886, 476499712, 690407099, 664284945, 775383681, 64722277, 210048143, 834351139, 545551393, 2065049, 952287959, 859679162, 856780670, 809782698, 534142021, 13818955, 431105379, 965385027, 134013072, 202865071, 559431478, 119995433, 37243472, 525476124, 344541499, 440109904, 429565742, 311027744, 783965953, 590536079, 17718156, 307700604, 605653776, 251940451, 693813795, 211942185, 743592536, 70614638, 790805599, 285983908, 491135616, 457646547, 627959560, 570273199, 591317731, 44243485, 33746176, 244127549, 422090531, 244946346, 967603413, 416626923, 282646633, 964419821, 380866430, 627776442, 559651164, 463994093, 977318358, 515991572, 763009233, 787458121, 322099709, 348955125, 175060411, 316941046, 13911777, 389624641, 839172413, 274729974, 360181348, 384597437, 609078213, 264891881, 804755286, 838545014, 542241111, 432206422, 691180874, 113212351, 149244, 709435707, 138407849, 569975309, 653693334, 908486710, 317715783, 221669859, 106238201, 580602141, 888237594, 988596343, 273631392, 758478236, 856043730, 837593374, 943782842, 587388081, 579239540, 767832296, 145461827, 633741245, 840645273, 790580105, 751185222, 624579060, 499518580, 944733832, 29189123, 511597592, 501337168, 641839541, 832500105, 431750222, 786917378, 44826211, 3405666, 283642148, 335756434, 44637757, 429007724, 237649594, 671466264, 301070852, 302251977, 607814738, 492529865, 509896469, 791993432, 826509974, 950141501, 434587278, 200132451, 854674080, 101581156, 809117738, 268145027, 348019255, 27395412, 19531824, 969859497, 828856096, 820915727, 119326883, 207944489, 876788413, 42142078, 744276091, 714331903, 756560325, 226653914, 560498752, 316200008, 497959067, 111220722, 553904348, 990930074, 911056068, 399903610, 165537350, 847470491, 475305663, 602259888, 453937300, 711716400, 332076848, 851950329, 392114634, 210226938, 920594397, 740785008, 587498666, 84276948, 714357099, 861039409, 179911107, 305184440, 546728516, 460749209, 124255529, 13724877, 332991489, 857079878, 662112331, 35198647, 138814131, 811798651, 820686481, 364239785, 65157433, 865982492, 407152012, 362253435, 194228283, 94568838, 62603026, 554652288, 805727087, 257283869, 951021506, 85336919, 341832420, 335479861, 33308057, 751013954, 503888405, 233697326, 488187490, 887275206, 594985441, 832119941, 278565759, 483406838, 524416197, 451058774, 773605442, 628357800, 363680392, 644243528, 210154545, 190314289, 95687297, 778815637, 128938813, 506146360, 232999281, 266284961, 419294959, 985416909, 703417941, 97783891, 140897055, 151847103, 437746353, 203578261, 5235900, 577935268, 912142210, 381629486, 594909629, 949483737, 485072739, 175357182, 779405757, 683491560, 296307771, 331398983, 883035212, 825581906, 837140667, 136333511, 764480513, 518771940, 728267529, 352401977, 974242580, 700400823, 398912481, 665811547, 635594746, 158890307, 326859558, 963490747, 727664775, 375686757, 523904398, 500949844, 464362759, 945478182, 674196808, 405880446, 870271372, 915563184, 523951441, 401847204, 630792705, 496451116, 729942382, 672189552, 484997535, 346279844, 385461435, 996251719, 677938035, 46115834, 270389257, 381981623, 551464765, 56306901, 228034957, 247089304, 619155934, 866152714, 785712927, 60872817, 973888678, 499777525, 424198094, 677149722, 362012181, 602750277, 659408573, 889094210, 537660321, 288456718, 668935626, 169189110, 339691399, 662578177, 288925095, 122879108, 849291049, 308756399, 946664131, 153805056, 483308704, 830016259, 129149136, 502773036, 312312265, 406770600, 956504364, 541059915, 229949428, 270460903, 215657186, 643914165, 248497792, 379704920, 867435729, 99696621, 667917511, 715800801, 947119808, 69433937, 533244994, 413531763, 161759822, 215872503, 128752139, 421768383, 365299332, 815570092, 24612329, 689597831, 839368775, 276694060, 410711452, 231143688, 87526177, 209798370, 386981896, 222540169, 720153433, 334156940, 988335516, 498610949, 641095040, 758997416, 471503543, 405840403, 823635913, 963453175, 389796456, 134859727, 565116944, 655520432, 976908689, 15287562, 173525579, 923126328, 933599959, 18493022, 200433164, 603841862, 233771115, 370386054, 702857570, 524950935, 637328214, 522723476, 857904248, 786967061, 738057317, 791959135, 515404818, 945316587, 720358916, 910725708, 51557301, 367994574, 562738792, 375569226, 969021927, 821834900, 29926609, 580948448, 990141943, 28424974, 106428668, 614678002, 333748456, 895198697, 891104825, 799381086, 676839139, 378809804, 506584328, 668313895, 623790011, 14674258, 985329033, 253905361, 697167280, 112970772, 469464594, 10172235, 392402507, 139262805, 750985758, 598295396, 579497607, 508501945, 396627389, 904655150, 388534310, 987470296, 797971728, 446547116, 304515496, 76658662, 122258339, 257216575, 195438056, 450292681, 970089567, 160364075, 686947112, 910488359, 176509791, 247282195, 206222640, 302276991, 551188671, 629709073, 733254839, 748140098, 371973235, 980188554, 374662086, 628994312, 498311052, 31013667, 89920248, 861692325, 356496556, 422467305, 571544054, 704478905, 685990050, 821278486, 307978767, 240423978, 924000390, 38156173, 81895509, 578235901, 788105824, 25358510, 952500594, 918380037, 673558825, 905628695, 98010129, 989403320, 169645377, 308727183, 343031258, 340942787, 608648268, 148750279, 872756742, 206041206, 865128663, 278226368, 266060436, 985401900, 350884407, 204170892, 404204690, 160341059, 327037641, 430975292, 526070821, 71413476, 783800571, 877632212, 725895674, 62814042, 380445468, 644707242, 705240648, 176597001, 92831030, 107733959, 611326362, 657432952, 69687031, 996677701, 230915540, 323515128, 450739387, 881471900, 584368573, 679560111, 922620212, 820677725, 637916690, 675204495, 973606389, 332763526, 122347876, 731389898, 526871944, 729605012, 986577427, 903387313, 137725640, 62367128, 453651040, 395423870, 823473407, 251466037, 760601029, 852658862, 980365940, 716653084, 771278816, 188877850, 776196840, 206657149, 781784163, 239355293, 663726884, 188657155, 230612681, 342053061, 594167311, 174632924, 639150676, 119326651, 789829862, 717536391, 567052071, 740326314, 732131640, 699610568, 621604968, 247029495, 928990834, 349274655, 20522836, 875859808, 720157605, 951589978, 322161884, 235621855, 409473782, 609007302, 556648580, 8390490, 601490123, 138401717, 144589149, 694018422, 371603226, 524340811, 585499715, 714942877, 207892975, 655023551, 321231063, 45945753, 409961359, 464138239, 973525267, 891328563, 97999747, 439946096, 182411808, 993372456, 228796976, 497178451, 563830627, 888167231, 736495565, 335655228, 536437602, 962269709, 721474015, 305638542, 681842616, 497594033, 732272442, 335687413, 747341891, 178883501, 543111759, 48162938, 773279464, 223141816, 795215725, 641593351, 498912657, 314375697, 772709820, 627400168, 414710102, 926088306, 987657227, 190854327, 77137767, 562484173, 266298378, 581166336, 745653072, 969536419, 543219474, 143769678, 178676485, 860504313, 317563372, 259406622, 717258975, 622870643, 156857528, 251775974, 628169314, 388574373, 895269620, 372024608, 808026632, 27714937, 425062738, 698360762, 77582372, 775160790, 718978129, 566287854, 599362395, 72122246, 54816022, 647279688, 492401984, 514011443, 228822841, 894760401, 432844100, 214438828, 301284660, 681848557, 148795090, 241149751, 845301932, 658582114, 768280041, 947867508, 702901328, 905941552, 174980326, 166357962, 933128731, 204091370, 428325874, 315578609, 426630691, 501437731, 263083171, 313289102, 378024982, 811163074, 896605437, 315420805, 253353560, 143079134, 744444932, 145754841, 238048654, 320305749, 789409073, 551478604, 187070592, 80323794, 835582219, 163086436, 340370945, 516563283, 878013578, 182387742, 880832226, 912233766, 770659639, 804913180, 673597384, 237817484, 670469668, 948439259, 914969076, 876883565, 89633973, 630977507, 428839562, 912197272, 983113983, 565096697, 685793387, 331565895, 533814312, 625979895, 483785559, 864997348, 437620001, 307834843, 181748831, 900521518, 423360488, 188001069, 130035767, 150317880, 594002074, 737216307, 957171552, 109978028, 198143309, 966900500, 856062976, 303577280, 697525840, 137336397, 543672041, 784204026, 211380076, 325559882, 63801235, 501829366, 951165833, 519903387, 47802369, 41407174, 348614142, 773779652, 724084450, 604561140, 16764475, 381926008, 663968842, 335278421, 570428434, 41859330, 609202142, 427128913, 844714942, 945291393, 337730901, 501477967, 630750258, 286423732, 974621563, 623881546, 559317712, 405179056, 705962120, 496168946, 901286323, 980178638, 713832492, 989740250, 336259995, 213632017, 380347256, 876831772, 427075652, 998613200, 709267859, 965569922, 41037362, 639543265, 389779466, 444948947, 187437238, 907115341, 738161343, 486912589, 922324875, 125514310, 787003433, 300033978, 490101878, 606096007, 39746711, 196431154, 319239330, 957651710, 287029057, 932724963, 891922484, 399632361, 749794095, 427710809, 881703527, 846511386, 489290705, 879900606, 8646401, 119999740, 406954807, 856909016, 277756403, 517076984, 684896561, 558258782, 804572941, 10782320, 656251647, 689100239, 825230437, 197063603, 29355297, 525896150, 552354982, 245945992, 716590226, 435211993, 215670339, 581877531, 49533339, 889657698, 820871438, 175082498, 33833647, 509779831, 523238406, 920160333, 605220052, 971853347, 356338937, 714475918, 437068095, 883251094, 414745864, 281048399, 400205615, 75008093, 201050530, 599930129, 887752971, 206052048, 255208993, 515885823, 859465453, 61522625, 53653198, 248587976, 998377410, 292514883, 670336885, 542566520, 484741680, 363322089, 428025067, 843128984, 608770057, 484694981, 353867676, 713740051, 145546920, 76632583, 462978899, 277190053, 405095494, 651425185, 2382353, 263770364, 86277363, 452278581, 508865559, 521364427, 347277539, 551370929, 478459301, 970196761, 334959179, 496894344, 845482053, 400294502, 61097412, 867906140, 51232511, 561804829, 56493562, 743579313, 875454964, 936730013, 887763707, 592096434, 229083337, 731371594, 536002704, 359472383, 408541095, 734879479, 508901650, 747347318, 51232778, 895476482, 188565043, 706729304, 139901244, 926927420, 548754632, 141389560, 539649339, 158092537, 853986578, 654482596, 350057482, 913000620, 377565459, 307005708, 572393240, 852651005, 202774458, 429029628, 538388583, 43243475, 614756376, 51612641, 806492929, 316664749, 119722652, 438856731, 339203041, 302246810, 310809883, 885372574, 938960106, 365961503, 661174049, 609350538, 892229590, 503760913, 440869156, 514731486, 862133031, 384774904, 605564512, 63342572, 619062769, 252318734, 850972184, 230502227, 839170044, 228638321, 321910896, 723598918, 310871881, 973470739, 929234324, 672118224, 59832857, 672553980, 473573851, 812341883, 390256933, 831384735, 193583011, 768624917, 101233160, 274250373, 526688062, 40426463, 689997032, 626300471, 984080254, 599299291, 361085179, 973969617, 136845671, 161245930, 10071770, 361925808, 849684956, 372327818, 666148904, 387759756, 167894470, 737125008, 784171134, 351376990, 353005609, 528023496, 994243522, 145214693, 619775288, 995717305, 403556058, 919508318, 373903425, 607868194, 617217521, 40505437, 549781282, 261528354, 468079334, 450096082, 919937528, 954336956, 812408577, 727430643, 397690443, 213042333, 550606512, 858584873, 877844939, 202600987, 891399474, 947584164, 352292550, 149160727, 374169070, 18300689, 603437300, 374339317, 35282235, 112180510, 878994637, 36465305, 726866071, 820658012, 251430562, 416786392, 683150830, 831793699, 139859659, 402598883, 94378261, 39194310, 300461467, 127708158, 352056217, 794473357, 622442097, 382830924, 666482877, 262129358, 18133550, 990016424, 360934944, 979679534, 732899546, 840296224, 953045787, 15373, 997276116, 770433192, 3767936, 452540333, 164983106, 703532049, 139954857, 996501759, 487375711, 279816681, 27915572, 376620567, 844620044, 787507840, 316212934, 525987674, 565802056, 426030674, 978918641, 19201250, 944959094, 870126572, 478617760, 114741511, 451185078, 467321599, 78735171, 971713009, 198766436, 40990175, 700312784, 549261220, 565126202, 360233081, 658669736, 458919164, 583924950, 469097072, 746725301, 512512323, 498510671, 355155210, 628905275, 900264324, 984077594, 815017604, 394046757, 390673621, 586457485, 574770808, 317048357, 920220949, 30930886, 456697945, 500132973, 484411951, 450951288, 46588628, 467211643, 803489767, 729288942, 642342948, 269468742, 609784032, 983602674, 496366014, 980735884, 391164265, 750244820, 983199393, 14534793, 86476794, 755273961, 469047061, 839464113, 341600711, 835890878, 449647058, 732659769, 896136688, 297447478, 430114134, 297298388, 735034405, 696491188, 582165853, 160080174, 230225608, 801097214, 463371504, 730572047, 511669560, 851303472, 736127240, 449536227, 962730017, 645368139, 406802233, 402436153, 389650282, 98550855, 756967866, 58232260, 212733957, 610967177, 879316604, 61078811, 378127748, 144198419, 575051398, 320426193, 175610390, 120126405, 509335018, 6981649, 301776696, 395893113, 159983082, 334565426, 222906151, 808501696, 182794663, 961727838, 241712984, 616507619, 895479993, 295669833, 432000326, 613402744, 554238745, 811907672, 567682361, 176439617, 481239439, 688703675, 573780415, 201007674, 785359569, 314725441, 788191419, 829737775, 682144896, 380655130, 513392046, 858810819, 881642267, 174994365, 108327454, 498226452, 361670275, 37956596, 209715234, 535805938, 682438159, 688437803, 953138512, 951169768, 616929900, 689590842, 271963035, 606223204, 419207728, 302205192, 438554755, 54546966, 284660638, 218128197, 550210681, 843253862, 220634105, 410861308, 349174655, 272621424, 352222459, 736508794, 588771734, 779370090, 857480902, 745677570, 693618527, 735862941, 291877913, 531950257, 720670626, 49812239, 357449331, 395235959, 746868290, 44791195, 808625255, 189323893, 855330218, 746778175, 87995227, 77312615, 456430459, 853075529, 101585697, 276859281, 43518050, 722471123, 722042764, 326599861, 968788127, 146630605, 250602068, 102659130, 729014644, 275090663, 482445211, 598774619, 510029883, 58120426, 499112705, 719152897, 677976947, 598822977, 474334335, 658214181, 628543567, 198895256, 720727644, 864823889, 224673013, 188577003, 854536343, 541768863, 576922483, 377733930, 574384508, 784470426, 421210855, 486498132, 696605683, 539927073, 913820694, 636841536, 863096350, 151370672, 256859243, 132566970, 211124277, 369184892, 723244961, 959044623, 595290980, 493680576, 922202350, 694442637, 609620081, 518921681, 164764484, 762391857, 156113384, 507359211, 790101723, 660159745, 232201150, 163795322, 55435734, 978677744, 633035787, 71508471, 827918514, 887484062, 243535150, 708503351, 294089871, 260805695, 174907109, 84168836, 344019606, 977977540, 896617804, 693162593, 585029938, 917405736, 771611389, 979099181, 566254971, 793501372, 404234249, 800615917, 122862319, 78710425, 577044214, 762930623, 894340720, 129593303, 425182056, 23199828, 590275301, 399912770, 648190306, 83038023, 604004991, 100509851, 269816559, 398677867, 747522278, 685777269, 927006982, 875059926, 88443430, 598888934, 147807703, 949519026, 936384185, 887799770, 186171577, 8059881, 721670213, 182003147, 639103104, 695737162, 589925957, 672603871, 882623802, 999712032, 599173840, 398962414, 171808060, 733820300, 346838708, 308205730, 526788208, 534291804, 310573422, 457045868, 489540142, 331000898, 939538987, 976217559, 711582303, 892978643, 967180419, 53721378, 561689789, 108654321, 655043893, 427740996, 17492617, 570256158, 854377660, 112234644, 709219699, 856186789, 380316988, 662367450, 767795126, 73630187, 426956061, 474693065, 86603869, 911968255, 790864362, 751647647, 993277827, 360358821, 703587670, 146868131, 17728860, 595136778, 132116878, 709047013, 216041957, 249025134, 433801233, 609398788, 620998759, 592373554, 48930352, 947068547, 94276598, 704898842, 964321413, 660060113, 419244928, 158403352, 853027779, 524017971, 359123313, 649782863, 180686177, 169871864, 392286647, 543618265, 36395324, 882984626, 847584966, 528682648, 768470106, 550441400, 108742834, 24858159, 397686273, 229789564, 270236369, 754705661, 544346930, 511718913, 129781482, 850548701, 19515091, 360512585, 244238204, 760696462, 521997713, 835451249, 194050124, 50626355, 660986784, 571454222, 496473620, 417900158, 504954919, 327639000, 368523957, 543753455, 60778331, 892473911, 584418233, 620057786, 612393155, 620364848, 530701726, 593568870, 732499260, 360410387, 386081400, 153718913, 400703436, 52867793, 769688712, 464179773, 607771841, 841338427, 868322901, 49905572, 631960808, 856455674, 337570224, 125180096, 798665259, 800421995, 740986502, 220866814, 414431716, 636022647, 49459486, 554740424, 38853209, 120471779, 480649060, 640098475, 384093864, 798791246, 48595479, 110996841, 265266820, 545079580, 238761053, 457349771, 409315974, 755455249, 558224387, 728623114, 639065995, 246199180, 9114078, 225012306, 724747213, 727230867, 264380695, 677643822, 312193883, 781420614, 117169346, 665402836, 657919421, 527488860, 689166624, 124603220, 548287749, 360722402, 656652841, 467540246, 670564529, 4216198, 900130653, 555635685, 496703242, 463601738, 304296113, 559035322, 295297828, 311010352, 509385968, 853958649, 784173712, 127573317, 122812045, 217934172, 625465655, 668321558, 983136553, 708122049, 894654344, 844427637, 650748072, 646530810, 687389193, 101128355, 441318268, 376413187, 221763508, 125779457, 69419746, 49203201, 522350807, 625363647, 678678430, 217213394, 603742665, 515749745, 217860539, 582919085, 401084996, 818886876, 328131760, 455008496, 499830688, 722679797, 76509633, 103593814, 818669023, 775740326, 184516199, 7685695, 558716120, 541938693, 642081704, 777680129, 96498325, 655924387, 975970872, 595610703, 77272960, 546596516, 954811927, 595600993, 880808499, 164450087, 735070806, 597118196, 702728380, 731908101, 466569011, 680759384, 764213866, 802780483, 289947056, 61424476, 116058213, 88099621, 971943955, 319991548, 611829200, 963434479, 474668649, 566116429, 505412101, 908789874, 726738654, 369894120, 82620437, 548842377, 232947416, 52327729, 433352283, 414563553, 693512357, 294309348, 596714856, 547113472, 909135606, 347117444, 118662652, 257474198, 480740368, 987000901, 179681175, 880234580, 379159384, 924645285, 796847248, 865753083, 254250388, 290257676, 231170861, 449799767, 698418766, 399766491, 515217698, 765650061, 249587906, 407499750, 93781907, 183610469, 2321929, 615503215, 468784357, 443023406, 88882383, 971803587, 663868099, 59567724, 277565921, 778679221, 71912546, 873227631, 619627840, 778290872, 796854045, 787733744, 439908832, 964615367, 256087313, 534069083, 790431276, 867170327, 901210900, 627783728, 950502565, 807463437, 396981484, 334428065, 14534556, 451158362, 922971190, 453607452, 220884446, 670716684, 247940206, 143047490, 383737193, 181861444, 542367583, 310434015, 250798893, 174685305, 995068011, 900251870, 353883668, 853653357, 483140462, 985454337, 621289480, 483584815, 950985017, 382756065, 564581712, 518789229, 544800656, 163828514, 142985431, 401822910, 103977366, 56329138, 625005290, 975360590, 676281869, 438116056, 401056922, 601614231, 459420890, 346869162, 114812322, 106592353, 42944056, 113258009, 755353747, 500629524, 910954403, 156626096, 676652497, 349118279, 484505817, 501268425, 685217038, 944994198, 24507502, 639641940, 393107567, 703965362, 244781623, 446205114, 824513506, 850329452, 246317929, 27785941, 401609303, 466415365, 535892486, 749608913, 763876056, 38141897, 791780693, 692083459, 957841976, 277456469, 750326627, 386692199, 679331812, 228882113, 29635733, 170783247, 369543560, 940071191, 601840153, 515510752, 626213877, 518077651, 532601014, 889644807, 620490798, 44568272, 55578066, 494086100, 536336366, 42629548, 123971002, 7935435, 561372961, 143788903, 90224380, 850892602, 417749652, 730270646, 836291528, 423611354, 233523814, 498643877, 631188437, 151869452, 400161007, 172309753, 616087847, 444488735, 102987453, 502975554, 810303193, 602557418, 124428976, 505653401, 729059244, 304146295, 90982286, 263588047, 748320961, 388284560, 664777602, 603583560, 717972597, 61087417, 215618977, 840211902, 891379273, 83131294, 161503198, 486562364, 622704586, 264877427, 666348830, 123933071, 669873358, 401703381, 302886540, 597130375, 801044244, 220568814, 459924332, 165190378, 912555972, 184653153, 346049620, 238047377, 812981350, 33648885, 84954214, 38703894, 525908831, 14565868, 274058857, 703513094, 622840516, 506409213, 293150435, 641685287, 508149921, 193569247, 40793630, 908387030, 296289771, 845780867, 94275982, 758613689, 240524383, 725682845, 287220371, 366142532, 567451863, 779259196, 475881056, 327331242, 59228070, 689863636, 915381308, 393764477, 596140071, 96647024, 743679878, 356649233, 514293000, 984239473, 815011605, 87723271, 91180473, 931847415, 376424748, 230608455, 335634883, 568098719, 308553847, 321548022, 170341896, 14470360, 469237965, 828855931, 402919391, 567168715, 317828487, 904022270, 475572924, 979555330, 319664614, 88052342, 126282152, 855178124, 175674539, 830291876, 911100696, 142230218, 643807268, 133170174, 13147186, 34002344, 701157829, 778475383, 901710444, 688532048, 637183689, 46413801, 145050406, 687976624, 976768437, 859986624, 804626066, 533614941, 327073018, 179354321, 493644793, 616544455, 61409701, 561199849, 890304712, 816163611, 423643973, 747483890, 257689900, 165072457, 25381974, 633160565, 815971508, 126806903, 184864224, 415002742, 205366569, 840893602, 241360343, 85499418, 829397184, 587999281, 10329229, 926115830, 210350886, 25504080, 476581111, 123254679, 606895449, 76583042, 192547656, 492773730, 185605358, 400853624, 585033999, 708031336, 412180256, 825964821, 781905042, 622024551, 952983723, 222583759, 616879966, 298725360, 715680135, 349396085, 285729589, 752108659, 801734993, 360171809, 325686472, 116279272, 826125520, 61956937, 764306757, 847006607, 917684861, 700554904, 959829390, 268151651, 904969097, 266054488, 606001497, 999305338, 672369290, 827937986, 374284153, 909965535, 463461955, 181329734, 368463070, 153607173, 889338775, 662155889, 483393033, 963015571, 717181138, 147936010, 784561804, 430248572, 324102226, 880202079, 123233620, 917802285, 144293405, 453677049, 711421792, 106583886, 119046641, 986711377, 63108601, 116054090, 628716319, 513183494, 80261572, 316751255, 800363700, 342616005, 726740720, 252612276, 717991781, 866481209, 917938335, 732476485, 764422159, 269722012, 743800690, 284409016, 727989235, 874444652, 966744323, 878355701, 650660334, 935607095, 980770148, 60988098, 647349136, 888235232, 528353866, 685939846, 465084367, 985222410, 286804540, 875623754, 859757307, 690845559, 202910366, 807788388, 430169902, 449222965, 764440433, 712820280, 308683313, 530594120, 762690091, 765921735, 417113171, 28657474, 771790122, 710730219, 716324025, 788337348, 800552416, 277705688, 675792678, 520222859, 19101338, 115476223, 574633083, 413051437, 619524949, 378328913, 505468651, 786725263, 709756403, 321326995, 310941073, 621895323, 621230616, 645842220, 12042243, 470841862, 488443792, 358687185, 646523599, 432254545, 772964663, 726214518, 395501656, 460770024, 482294903, 401612651, 941205432, 56311955, 170972877, 95942260, 762227625, 139512858, 42862214, 676597626, 399276082, 629808305, 265909890, 289731895, 478466102, 522204670, 697572365, 799059260, 991358480, 254968398, 792878964, 548993540, 356779601, 633899380, 440095962, 816989624, 451952360, 896608073, 782136977, 481902314, 131662046, 648075590, 843461974, 600545643, 384565027, 940618194, 340121157, 132455962, 282109091, 401143692, 173730048, 43386970, 915624202, 449233431, 290531651, 164608350, 288911136, 306149316, 397014374, 341870390, 374222400, 653219180, 650258368, 985113901, 29587607, 378210148, 382362307, 462951324, 632160640, 323798219, 59930075, 665862878, 131615396, 805553808, 123685153, 546460986, 535762293, 547351310, 464311112, 634134582, 942546823, 680826928, 688756691, 323417483, 430368764, 966171665, 900326677, 297695148, 592525187, 233277586, 283751243, 326987011, 727699483, 620667137, 24576546, 551583990, 874888429, 414096503, 239700718, 268682217, 695415821, 539902199, 759940925, 552778296, 133226163, 711262134, 888809295, 879849362, 469534637, 870673379, 390399328, 635493568, 111265962, 963789334, 986027263, 56643179, 370605889, 66783933, 494742526, 989615807, 840579315, 413811219, 184203386, 838344520, 832011031, 497062359, 98591176, 308978043, 577580567, 160029493, 665381845, 826199376, 561995896, 356634123, 790660380, 93745487, 656605956, 464783673, 30450065, 420742524, 958001553, 5066574, 466794373, 334290425, 884049434, 532640488, 930303573, 95485959, 452405146, 680352248, 882338363, 851608258, 962028073, 91511461, 26848662, 529411339, 631241906, 803963521, 725450791, 571362014, 337521211, 643825877, 299214342, 549112875, 272056497, 292506176, 258851704, 915108080, 205002673, 37469240, 307954400, 162981946, 19237505, 130781279, 295820354, 167495545, 813258373, 938910888, 859610879, 20842671, 939634900, 121819605, 873045113, 88077986, 697976440, 686493734, 143527769, 974984554, 503739341, 843827083, 892207544, 663354004, 271984781, 504866821, 977702108, 937851518, 283546791, 322114948, 70832123, 127091208, 510663017, 289142859, 959486148, 552138056, 307445015, 726230854, 436760654, 358753429, 133970647, 422607847, 998997500, 846388725, 143892011, 733904539, 620447460, 62229636, 604687395, 697609618, 68176943, 810921443, 341008612, 865563678, 580718837, 405600568, 573155666, 117804850, 957052050, 283958261, 170023882, 768716815, 492256949, 671047038, 7037610, 81522487, 382768011, 667590847, 328951339, 18108822, 904821365, 26946969, 614947723, 341847785, 965917237, 969793156, 602466359, 352581442, 493181037, 567733381, 363667521, 737022209, 32522294, 51065796, 840474078, 454421787, 422273149, 520635536, 57349295, 630738832, 139695705, 591664026, 381004410, 194387693, 934143076, 814209073, 944644236, 89899746, 548184505, 470600647, 176914388, 13202620, 318156580, 457067238, 708692155, 353869759, 550637306, 607004220, 25466895, 979246133, 126018376, 752791373, 877391112, 176801976, 613360760, 692924574, 229677017, 298432239, 393536252, 770960240, 280620434, 300024702, 179602568, 316994063, 446887606, 777808638, 549669447, 611901941, 598935025, 892727733, 55189679, 965052188, 847264126, 321059344, 920165790, 172392689, 861613910, 468551360, 105538994, 735864845, 806799887, 272438802, 274905712, 979443091, 45196455, 43620675, 167615190, 729688143, 676398661, 219210922, 539776453, 907760758, 970531033, 794966680, 872331510, 458741028, 270163883, 933396280, 21038276, 207417919, 599326826, 96220945, 913681184, 788967346, 996348225, 418987639, 838566818, 518070026, 59903215, 981014708, 609860417, 274408060, 396225486, 693228197, 595626986, 204693377, 956645615, 338740107, 60906927, 904343169, 75636732, 478556284, 579754269, 21910851, 238722453, 420951830, 531920503, 383986213, 520548427, 256757951, 124066665, 93461619, 2077471, 403361689, 263728569, 396418090, 365963283, 388231696, 147555407, 476723696, 660297848, 329265544, 797609924, 125905467, 770051127, 59682270, 321822848, 828470157, 916552944, 981426371, 503182462, 455726695, 662124546, 938681627, 419822102, 320226586, 278407800, 319219811, 443769549, 500607983, 883242140, 55348389, 794943858, 331574166, 80245592, 922781789, 209669301, 76199789, 374766480, 158534931, 424243523, 291928807, 457646388, 465821111, 958614286, 837656168, 454092804, 936673035, 380006796, 800441899, 250424783, 515974584, 489699893, 852629576, 604531406, 735370858, 976217974, 458401711, 969732960, 420923194, 406725141, 146051040, 105148925, 516786300, 474023258, 81744693, 275892953, 304688504, 321007350, 162972813, 454460104, 810250044, 207187824, 197563107, 526130816, 761671795, 512030194, 193501971, 149760218, 960173034, 808022810, 745491715, 425530249, 446238038, 562646828, 594030391, 341305742, 738164146, 221953282, 149764579, 640162616, 380067085, 110487770, 364161281, 285118635, 914460090, 238821985, 406473184, 655866498, 924441417, 392848593, 874884845, 249319609, 164835701, 646521440, 967148280, 663937897, 493286202, 992799841, 469168988, 303768833, 828335552, 338290811, 814590628, 666655474, 539781291, 818671891, 327273687, 512171554, 812221636, 89715562, 704234186, 702824149, 313368568, 174895299, 459333224, 574382525, 218996366, 471967931, 37355429, 350687392, 275785144, 489194688, 176254151, 117425351, 442976155, 570636686, 422603672, 756332842, 366800796, 720148055, 188035949, 616049030, 82346053, 799707975, 588691934, 148741776, 132012691, 760304543, 910455751, 896791542, 272164613, 637096497, 693794431, 855435616, 199081630, 442512721, 996731748, 625027741, 70201623, 777520694, 261167516, 69993196, 413088058, 211153187, 966625242, 911079091, 61772631, 942012637, 670449573, 258117252, 379571741, 658373481, 704859575, 534607666, 647079088, 804739664, 103082964, 555109767, 359531571, 771451622, 515015872, 573851672, 999059756, 67279214, 840749794, 358645896, 949476093, 194086593, 446166006, 621237569, 789931885, 186999590, 717206998, 150946432, 45341937, 827381217, 595253894, 246563769, 215325708, 49630993, 130300765, 176543430, 55713747, 983896306, 407115720, 181204509, 732727194, 679633794, 734771012, 868078040, 354564356, 721095009, 794042428, 405820909, 341619155, 231134934, 795032268, 547702012, 386321351, 186008722, 316177138, 686831179, 441491496, 391411187, 696237308, 718510918, 32851549, 253702508, 277336195, 993069436, 93588495, 118973092, 734735787, 63379536, 787685202, 314134397, 299946236, 410558146, 382377017, 907669839, 4068775, 917289804, 224071405, 428152196, 286969670, 515048121, 492159903, 511290562, 278961288, 880054445, 831317239, 940331249, 385114363, 146083032, 340774736, 18544656, 111024787, 272178417, 849199812, 452132842, 496506274, 100970238, 477082340, 639863760, 377886134, 503387824, 669964179, 530342106, 249623415, 781517846, 108091132, 325254883, 851920935, 671379292, 332815304, 608829034, 831494306, 73322231, 244068394, 705025045, 596553667, 861735176, 978269278, 521172544, 785135806, 43876492, 824550781, 594961532, 883502739, 909117020, 601358578, 198037636, 869092343, 107979509, 753709083, 818672202, 887234380, 141881904, 80774801, 818445643, 173779165, 503200000, 701596790, 857795353, 241634972, 187310145, 799968850, 958241101, 863466828, 506703572, 778660690, 136355920, 634188820, 868371483, 256702527, 529908493, 239499193, 901921589, 722604454, 103491651, 21959183, 823982275, 521410600, 570335356, 283901869, 68028593, 312038477, 9636032, 563303200, 160826339, 698697404, 60384525, 239794542, 694360541, 38123004, 591904572, 205038578, 636347009, 536871551, 279802577, 935130183, 92011676, 855330343, 38070037, 867080438, 311630004, 462829192, 864030532, 2031480, 249465063, 788256180, 982279957, 483122707, 782928298, 596768985, 525268382, 875173742, 434816551, 987374634, 367638315, 963534789, 302031868, 399790672, 460905248, 186507161, 389349470, 99622518, 814344562, 351759144, 731126077, 621583958, 251344005, 899499703, 121214452, 207709177, 456566818, 304961539, 865736049, 273981035, 203257476, 761473298, 746825427, 487010960, 863750888, 77708677, 18797616, 746082554, 543614103, 60791106, 904717111, 673900183, 480077192, 140634465, 162245764, 422737487, 892887811, 812643216, 329725747, 985959404, 564524347, 273585890, 33748269, 95723001, 564240115, 932567744, 320183015, 953187309, 877949666, 148959155, 729219902, 441906790, 404996254, 455176671, 727777919, 246597346, 701322262, 452657245, 353871491, 49650551, 13290531, 510246283, 284504615, 973499235, 547076630, 354279041, 858549411, 148291107, 75448038, 3714252, 445462049, 277831922, 379826809, 964087014, 506342279, 306644483, 790067319, 506203203, 780877102, 359328450, 381334446, 94027836, 616704239, 898163616, 712360543, 912045942, 152845202, 821905938, 704925378, 674755564, 1912123, 706892973, 426019148, 800498727, 796157223, 196639938, 77493597, 708486906, 140700465, 834922833, 258288024, 672069010, 439249249, 622953139, 757037634, 378667398, 837978446, 503328271, 60117306, 826268451, 217922656, 1167241, 858709853, 834462474, 930430791, 987946223, 539831445, 709300168, 396376154, 873706965, 171835183, 769784355, 682779692, 787105458, 358668849, 622391437, 682083095, 152543235, 658063092, 960371469, 786475797, 679026011, 75143712, 755987025, 70645268, 453395683, 211752856, 175883161, 321329054, 713292016, 596411351, 164743070, 345440332, 620846154, 956978509, 821724284, 791427977, 174787211, 748766253, 667067738, 613104463, 442627046, 313116099, 969218269, 305325948, 188622344, 72675863, 811428819, 944406265, 34844779, 904588164, 511247173, 391665744, 304161057, 258218462, 494235262, 937705055, 234270790, 100009622, 513055261, 665673529, 361572033, 26323754, 546823550, 697951549, 48533195, 160916410, 156130833, 912538829, 733963007, 534123568, 856642689, 441639916, 506606064, 872022728, 235205416, 52612288, 579678001, 384089714, 358010354, 752398556, 612087609, 904031466, 640716094, 795822362, 363527425, 76353174, 699252062, 907004634, 809750934, 166089748, 861840194, 719465934, 416062009, 544544785, 72112566, 314471950, 889845441, 730054736, 878038632, 974142038, 516842567, 740905556, 274842010, 755941223, 81711499, 386117995, 166514748, 121498832, 965639164, 533259987, 876525631, 533368258, 959801474, 364558976, 803144808, 661669693, 358136176, 809915641, 7805900, 173708053, 872128942, 432502200, 451768679, 479369443, 131130648, 232762235, 530140803, 335029945, 211748079, 204435083, 678474078, 642632168, 461037944, 642932677, 906730420, 520108262, 640349579, 923198814, 572796081, 626457163, 105573278, 413278503, 763991904, 551271705, 250733420, 491464178, 434600715, 503710868, 530541083, 445802035, 829253665, 6697631, 123697930, 401644458, 295323871, 448462139, 516841863, 132881364, 986817394, 129782443, 642184512, 709668083, 605689586, 571992304, 969501554, 78396395, 292328559, 640235053, 984296826, 511685478, 633871284, 44482619, 919686221, 487176028, 722603268, 632140546, 52247053, 544341528, 487644427, 367842787, 463922372, 480104163, 427543686, 635180691, 773466080, 873034167, 73332972, 944704559, 447020080, 24205260, 851725038, 418330208, 596002648, 843329795, 190991872, 479705907, 486340812, 279899230, 436917941, 90645798, 199067624, 489966543, 875175199, 459071647, 623005735, 105266204, 657052233, 973718944, 583138098, 308312065, 631115848, 851469780, 136664422, 971272127, 422335512, 714787819, 77710874, 324540949, 974026443, 299972970, 642151850, 756049538, 204493423, 575055484, 191861888, 329092854, 49673860, 576611981, 474562800, 193976402, 454543341, 86172305, 178084658, 248754004, 226245882, 969960550, 870385476, 942682956, 587351636, 9213622, 471800105, 71527620, 535599317, 388384228, 523342480, 11029451, 164995209, 701041169, 878966574, 613284628, 140572358, 556827188, 234633761, 621480175, 696315631, 642905201, 686052188, 997542404, 477634659, 775170402, 769417795, 121623540, 984533954, 909432703, 62952571, 202232970, 434379071, 377511225, 441228192, 896733101, 389309971, 219721187, 833498718, 546738472, 722200655, 500878869, 872513390, 863957062, 552470138, 50154606, 878006761, 21426953, 466177901, 182515221, 734652813, 224969834, 892408388, 625652223, 731470862, 204780013, 921654404, 544022066, 559152087, 785375746, 515279195, 592377129, 543155790, 617061539, 301873010, 533357193, 498774404, 798673812, 920329664, 542055992, 185324053, 397085491, 947402319, 664620792, 288328673, 545108432, 176793274, 676306204, 545011161, 6244899, 68593778, 51536804, 572526118, 981860509, 20948430, 908704682, 696576913, 958051428, 424303348, 327876939, 372987861, 919513860, 267357957, 193077076, 49543054, 323281840, 445583903, 244876839, 287094760, 638393395, 941755598, 743832611, 461476856, 830685995, 351675570, 193604238, 310114842, 667126317, 91354329, 121185775, 559698441, 619093018, 2760423, 623499997, 934586703, 798518497, 817401859, 386004017, 46405852, 428072597, 99921003, 88426343, 952403222, 541801469, 747926058, 338185892, 305353107, 610991679, 50545766, 773370035, 511542170, 259601543, 973835687, 678476124, 395814187, 144939659, 331167672, 363376650, 518141917, 476833352, 64055072, 290099821, 256826906, 74279031, 178023485, 842814605, 769474672, 60285517, 594727669, 711140474, 971902956, 635819439, 275819585, 557856110, 561071097, 673388705, 375846992, 631631174, 752011259, 381008463, 415423490, 402211702, 611877408, 787061461, 930862077, 904716263, 479910347, 615443106, 661847086, 21258081, 379170980, 810197696, 953120583, 998670497, 435453059, 523290526, 948773787, 483315387, 544885551, 580560417, 696619559, 588021771, 294350698, 999396857, 10314674, 839729817, 367752394, 646337948, 215194833, 349479463, 109065328, 790902589, 194108706, 791072713, 406673403, 14700335, 315997996, 646316681, 591253980, 829615992, 730598653, 352006534, 590184972, 468793448, 363649000, 797163073, 94236777, 387604177, 693097722, 411646602, 597427991, 295092711, 771405730, 405900071, 343635381, 814062215, 818011055, 916027072, 717420854, 594922886, 81413458, 683828747, 43014823, 25548432, 282136107, 701296436, 361833256, 505840731, 953439814, 915508386, 14324568, 555195477, 67415115, 811310727, 316206652, 809867955, 326805707, 831306732, 121577373, 363995019, 596710541, 840383425, 318101884, 19807496, 43632145, 779935421, 485079257, 125951824, 117569620, 636877055, 238670297, 292037696, 777276177, 477813665, 577276847, 458012323, 162436820, 649215751, 735244061, 786206294, 361224032, 367831509, 240259472, 689668860, 276630449, 517316803, 67897630, 777976673, 755218340, 48113229, 788241387, 334394453, 190793524, 14783472, 84961013, 960488704, 369506132, 352401963, 388315224, 163483319, 877917891, 153035398, 45289032, 186072565, 457420974, 828473050, 17779292, 263164993, 783015670, 27985221, 136592420, 862152917, 580708018, 535126971, 486864364, 943734939, 843779833, 17990853, 566537137, 859969907, 934195574, 206710768, 812997784, 44993076, 394542348, 427901643, 629355902, 349098129, 526833314, 1371962, 520203580, 643515057, 20489563, 482625921, 950790440, 781490638, 754543890, 95038737, 577805291, 915861961, 685921442, 939158518, 444806204, 679226159, 733782406, 206609950, 892298629, 831382033, 445688021, 399943457, 145377803, 971732616, 209264648, 596298205, 184601216, 568259821, 165960128, 914493442, 144372062, 917335626, 670219593, 434007154, 930325249, 706531451, 893167050, 290588405, 467888706, 824240672, 346675873, 31573065, 288200855, 104120717, 219850851, 765485075, 207921152, 327319107, 781977225, 278459163, 585409807, 632890500, 768522072, 729862284, 778729878, 41987748, 666142333, 66604899, 10072284, 484002074, 684090423, 796467066, 991007187, 768224816, 922214160, 300103570, 792817421, 534968642, 483185580, 445561941, 591016632, 915305977, 647991372, 258254867, 404373757, 347331094, 333225793, 716852582, 474031264, 318337416, 771389052, 873757014, 711865861, 57604619, 135148358, 771144064, 262424664, 613076790, 67697442, 630388525, 552479623, 77264008, 191423057, 402764854, 525063868, 542557057, 844350630, 478261647, 447905211, 549833431, 952466742, 441236953, 692462827, 789130022, 321084766, 416194919, 460084569, 713946309, 17214264, 356414415, 52358882, 933434406, 933525798, 499872349, 634494060, 627340585, 738324608, 725220816, 455747134, 428821863, 421586069, 735432533, 925266874, 884586904, 512164418, 937087124, 19672522, 75657819, 212953591, 101714357, 914069683, 513183597, 345170035, 735120560, 655807122, 718929141, 855586350, 606741644, 973888756, 25880203, 127259597, 462797431, 355111029, 911758296, 908510409, 989414571, 341480865, 554310244, 298901539, 969420535, 707063751, 831115454, 986715233, 742853620, 446668836, 6735176, 430807403, 309701380, 555723761, 824473396, 528610662, 848644223, 890990179, 68844567, 762988727, 416990675, 775502813, 214055791, 106049075, 723566367, 382549923, 224042942, 795626520, 168814105, 375324907, 765653454, 597302838, 851461829, 147982554, 817915394, 670388519, 97641071, 173923127, 994833882, 140311825, 521561148, 485169470, 56979435, 317037941, 760966471, 32637660, 64557727, 480831442, 178525550, 775939214, 287545435, 50260053, 384801470, 865035171, 232858115, 567617341, 756907194, 574475848, 83581047, 332044164, 120975071, 857538410, 893064690, 355383553, 169577325, 293712211, 711503844, 947948450, 333771027, 448271425, 532567101, 120621051, 284811001, 765060601, 216568205, 177693083, 803414212, 69052602, 632983847, 930918077, 208531481, 919505815, 962910810, 321341476, 969661764, 518754443, 753859476, 597641111, 587964969, 195360556, 691438793, 474918657, 289536132, 280937392, 654544893, 242187956, 680087225, 66241315, 935471324, 337557653, 775573724, 294783971, 8065320, 412128399, 368333746, 927379733, 834977966, 769755422, 840228289, 442284814, 496657769, 143728120, 560571501, 505642215, 40039811, 840443686, 814920206, 108272533, 545505544, 514523829, 827869817, 2441896, 654928768, 343621618, 583177521, 28667891, 812839186, 314466186, 198017458, 322557524, 204083361, 280894502, 919973847, 404154866, 985207545, 812743451, 503353533, 639975055, 449421214, 396390867, 560429791, 428162692, 882808281, 772189854, 779466004, 132425414, 279252789, 101776047, 997775306, 75626453, 834304992, 57478785, 400296791, 888870667, 324876814, 323548005, 15118500, 523705039, 102894672, 293271106, 351942509, 285229991, 743076323, 728611339, 177633988, 207379125, 211155318, 596395294, 330635692, 859050995, 370212493, 606116405, 468180948, 848909443, 877900943, 394573666, 807756930, 760299833, 728099102, 283496623, 540899260, 570933634, 47905545, 946700045, 190423395, 272990692, 212020409, 127257208, 521338802, 378572869, 612412603, 309684398, 949819973, 28351414, 366115473, 66783981, 251332428, 423387050, 491267932, 215162664, 440646022, 73700711, 859707243, 944103710, 363185331, 920288938, 200598740, 569785452, 484623067, 512284489, 939441074, 347005916, 316403992, 174018292, 209475290, 797260944, 152205300, 507508555, 450693898, 507206062, 697366663, 874455400, 527897190, 781661244, 997179766, 807547477, 152855430, 682013714, 23877192, 721676360, 304911417, 338907720, 642906752, 433635207, 925232818, 304902205, 385035337, 149989101, 800673989, 666106307, 443412220, 321715997, 480618341, 127300837, 422258606, 105830976, 616460513, 217596986, 993985795, 787114800, 630331547, 295502996, 741173459, 901186440, 214647289, 370431005, 974876500, 336392099, 217187666, 909281484, 940867194, 971550172, 721523195, 649465855, 973129428, 548407475, 917522633, 919803297, 442829498, 17117185, 562862061, 711630385, 223388895, 902302938, 902825950, 112809835, 776695649, 519183600, 677618459, 842172629, 17007959, 430391477, 471216066, 484726222, 782975094, 376933492, 951623573, 645252542, 31890893, 239507426, 492638308, 591339859, 797975494, 275221423, 411923998, 521298363, 548454533, 636352029, 7407149, 325657114, 17764532, 662158314, 983899258, 62204899, 257827720, 513542996, 461639494, 893148503, 278178466, 325657556, 30680110, 42330126, 3137846, 229355035, 625300960, 143405126, 990999118, 681540797, 482815508, 580828215, 259409717, 270545606, 331436884, 172994971, 18794637, 613674155, 588176421, 189292824, 96324596, 146665692, 899767655, 263348512, 228024674, 503706243, 215699355, 778489491, 173880146, 860237933, 533637207, 407837395, 891977777, 148339793, 39023837, 897801408, 854280827, 879972356, 235405738, 457044945, 265134991, 76893415, 775500283, 105263681, 484250092, 918836350, 739003373, 144782385, 925321221, 776653665, 520994929, 901516302, 996486476, 780076420, 647737189, 884375586, 551832245, 625893209, 843294161, 968555190, 591913123, 577477507, 345714475, 216052753, 812162831, 303903334, 659361814, 749423526, 780095367, 864141506, 946007090, 35482584, 278033273, 27716594, 226440075, 553518442, 212466037, 470158131, 8251636, 104401475, 906492151, 941749716, 967765245, 467895849, 152857011, 126603748, 3278740, 378313325, 191982188, 310383143, 701833350, 681480423, 483109071, 103598102, 712948811, 90922847, 563260129, 262860854, 909394003, 166288486, 38691469, 190307756, 13203742, 772669437, 409976920, 38570600, 315725952, 5567783, 99837513, 429064162, 608597176, 782086760, 967542179, 457868402, 657381540, 484359959, 273467215, 814629525, 771053655, 484396846, 549727464, 773068760, 523072490, 300779742, 44937467, 609627092, 287416062, 770020896, 632492958, 375137547, 44864216, 832781348, 120114558, 327048369, 634459417, 489591103, 341860905, 598093130, 701370662, 788093473, 435778803, 697440796, 88549602, 785122924, 742946850, 723922768, 419036125, 649598866, 844813283, 900009949, 203988276, 371191510, 612833082, 772319562, 620020512, 338169579, 544060422, 16266423, 592091759, 1025175, 199433419, 383479529, 504586886, 195293709, 266672934, 140166996, 198792875, 58438932, 67514518, 294151583, 297088239, 768867012, 809347034, 784160001, 97615493, 357524073, 117498359, 118414851, 213438665, 244319264, 319453548, 307364692, 732237589, 309265821, 660277744, 45338051, 180179910, 367875312, 333703609, 827947986, 152311939, 899413517, 702447384, 550499560, 363251679, 513792449, 157443546, 604480277, 85750987, 794428288, 356127000, 659385501, 672317385, 747587806, 519982134, 257928658, 363720532, 95724194, 199574939, 344545324, 485768648, 210723051, 909735716, 765078136, 82613088, 545323255, 516319127, 954343044, 580658840, 92928570, 648073011, 509938883, 940400257, 23128244, 909000930, 392555062, 801049554, 85909880, 797674267, 302379338, 705691033, 488986141, 239093260, 102557482, 356699949, 278917153, 329516446, 274239437, 233382875, 123574374, 508426029, 182949729, 179729698, 553734942, 741801734, 561952462, 47391152, 19863986, 97306960, 733783954, 959782724, 703407976, 716303114, 316418219, 620163017, 57037848, 486822419, 257673221, 915981752, 658415727, 203130506, 134314615, 800229624, 714260474, 400933635, 839953715, 682302196, 927782539, 897153614, 992317192, 890106386, 334136281, 880480441, 629964799, 893583473, 825641591, 33084216, 264643283, 257479805, 375813094, 823274964, 849796443, 953699688, 370699454, 627543223, 561818772, 743934926, 591918331, 879607652, 397307123, 450238291, 419068976, 539012139, 771073153, 579756364, 398319242, 628223095, 969464342, 890486122, 281882583, 628610058, 807788677, 117302902, 138934073, 552017770, 36487019, 453025991, 196234890, 946660148, 818512605, 906665527, 452294978, 649579018, 217853998, 658637832, 611654580, 811742356, 641463870, 310118861, 206380599, 154671437, 744995622, 522148225, 256580545, 949998179, 322034949, 543721994, 896334555, 758361328, 770052268, 143460361, 50071657, 851247045, 61609561, 886712037, 666666727, 824975136, 253061983, 532149434, 754071213, 61941055, 737331302, 910706031, 281516688, 794176726, 945438182, 554254074, 406048857, 963618539, 371609476, 213798983, 83712611, 186792523, 696939605, 30888672, 966094694, 590381463, 129034753, 399946960, 160250204, 690834700, 903153771, 751097029, 71044949, 314951143, 228423877, 78993464, 29203494, 306777683, 619318660, 958310676, 887961896, 265479404, 305124458, 668995421, 543145125, 622964125, 804004891, 619995093, 172405371, 334206079, 824476711, 722853462, 935876301, 724470980, 816569431, 767596340, 671130622, 502200340, 600383110, 59241655, 532115235, 696180192, 855163213, 18515251, 220608527, 183422539, 349997421, 18156135, 780043290, 905065325, 605728590, 35137863, 10653427, 870447187, 12646052, 766705755, 728775653, 888896621, 91745587, 296206341, 410675576, 251028693, 215077340, 48408999, 279121072, 125868576, 681096562, 511588301, 432664707, 803445596, 594289845, 688320863, 393865966, 174880215, 840879551, 644954703, 513082804, 597208735, 84136547, 486091013, 290448377, 207966875, 239898245, 454442223, 860071203, 526811529, 908949998, 815255630, 668564275, 566636087, 691101607, 424084675, 669101675, 777503855, 59108927, 43014561, 182020868, 541306873, 680681859, 894394278, 323132606, 615527423, 287224932, 80322721, 154990319, 660726689, 341439205, 683799921, 578068809, 396850320, 812036742, 913738031, 576672523, 302709455, 913460855, 72258922, 779620609, 584739665, 773291183, 739046691, 431266873, 558195594, 456289500, 298737995, 265531664, 604881129, 110588404, 182476258, 37952813, 123733035, 747630729, 668941955, 400125357, 114774978, 729727825, 170802297, 277135312, 7900997, 962236454, 218716661, 915751880, 672516493, 681316106, 141797240, 184759999, 480499181, 856054942, 460099146, 993012267, 135805789, 279332667, 147192654, 151743041, 640047134, 701745686, 914155071, 93410265, 285626962, 953742805, 500742447, 865714980, 430793794, 66494081, 13225744, 697366075, 834903759, 741934048, 271641932, 70967851, 951272120, 681827096, 888442794, 299409406, 932730950, 310320640, 458544522, 792557712, 897885559, 727042110, 691917942, 607310210, 609181843, 422926550, 112491675, 129215895, 470688900, 739552025, 644524817, 718600214, 414202350, 528169542, 713266662, 333822966, 8313102, 857948229, 893329819, 260248145, 19453001, 382979850, 143441466, 672703823, 802222576, 73881846, 72823741, 316930079, 15079771, 784397128, 55539999, 177043390, 566233721, 736855206, 41324810, 409078018, 673274831, 181565532, 349169716, 406876746, 344235628, 307807966, 501969119, 831800056, 439836590, 772695645, 264222198, 926893387, 781978491, 97171708, 615394385, 635202743, 595164994, 943474068, 706237509, 701452471, 931951660, 130830996, 594428363, 103903763, 535510083, 432502978, 92698085, 598225646, 826330408, 811947439, 327199743, 765427150, 540118361, 409604442, 509559312, 649987285, 147102835, 769136235, 970970520, 220334052, 992858439, 550331126, 345134368, 689307995, 169675560, 612734079, 452259244, 81107559, 633192037, 630071262, 234112943, 520951691, 171774268, 86921864, 745438065, 678098619, 579520204, 652993409, 10810262, 262406589, 641724637, 105474379, 465213442, 909713039, 453510871, 24293876, 793583278, 722431057, 421398324, 570455366, 167517850, 164000648, 504631849, 831663621, 444090821, 589221061, 464157966, 448078714, 103034698, 743401970, 795356892, 566803340, 673772485, 54476883, 249025921, 468364279, 906106404, 809961806, 24805522, 958679406, 869329093, 980641732, 88651849, 856482055, 183284720, 249783177, 214709044, 333126796, 499694256, 330284780, 805450373, 592813741, 689241086, 5532583, 996291179, 89972801, 86090703, 372019639, 922975371, 418477210, 766793516, 111797484, 520750989, 231458291, 251788946, 657285751, 600424228, 382344803, 332311427, 552968012, 796829524, 245146552, 980528220, 556421809, 874861590, 68307169, 44236136, 637100210, 544490394, 823069629, 339929836, 977238599, 184647842, 173065800, 800494910, 514245492, 821909643, 259667622, 406233696, 858905107, 101987015, 261045555, 340910010, 372570607, 925918861, 959313876, 396174984, 620329578, 331023946, 117551153, 868703892, 333645074, 850860628, 33552615, 233441364, 46015346, 868326351, 270368623, 183976174, 338732774, 572726764, 789992269, 895093501, 870213910, 252776941, 361372228, 680352246, 256114355, 299425952, 896039406, 833828456, 147152639, 82533441, 380125505, 763755139, 712690708, 865834725, 237187282, 332266954, 813920126, 438266677, 858397088, 44362541, 231399850, 817925402, 863463333, 374478849, 407385598, 901305383, 711112167, 990398067, 684187527, 397918017, 178119547, 674380325, 546829908, 898156893, 648929545, 925894958, 474594270, 242082597, 602103594, 670873268, 857192878, 771501019, 200182144, 640668621, 990344856, 853983771, 782491231, 93239133, 462291482, 265228543, 273321469, 617908953, 573696573, 718087201, 196162311, 553598980, 90191096, 582963321, 630493578, 766323405, 787758612, 897881768, 696508717, 599740978, 348374745, 281374585, 392314678, 995002931, 792968740, 572273241, 596579610, 177655664, 424706575, 155937702, 20449492, 617436514, 481923031, 279517592, 294853656, 116962471, 276412754, 970621326, 677359760, 835957314, 812020904, 203059433, 307448842, 969016064, 777333419, 177661320, 216827043, 885439178, 350697932, 664172170, 190938103, 53028187, 968595375, 571692323, 692495147, 551678598, 336425978, 415520038, 958360104, 709312087, 782155944, 742966876, 302264515, 336784132, 720388834, 235097695, 225805740, 337334057, 770092337, 393183628, 209380170, 227788484, 735912113, 637373153, 629945416, 798411682, 898075137, 76903557, 780656464, 648310721, 397832646, 87807165, 711947521, 988513320, 762966579, 548733821, 278179159, 46965314, 633687703, 997362929, 960408512, 882577795, 880841391, 279664912, 326390113, 743153531, 385293286, 61293601, 107850032, 432519106, 655464953, 572885386, 921564602, 666679172, 533433272, 503096669, 161886235, 204346875, 50346607, 688272252, 659552454, 830018578, 426657936, 331913173, 250152044, 438596841, 207687791, 35309318, 153336049, 370965602, 359415956, 61395443, 635925433, 445691691, 764265441, 846175918, 736363710, 389720865, 797151107, 324876648, 11584001, 82572586, 233942374, 39299065, 846954196, 374907553, 506551492, 961492245, 711601930, 262762289, 940503780, 320785591, 647612132, 50720267, 552107857, 699772988, 67741057, 873405287, 288978634, 862980183, 738569512, 23592868, 614004674, 215527839, 473537508, 217026406, 613031935, 635988087, 608744935, 55981542, 278767474, 436251533, 734928518, 424340788, 546157049, 596965756, 931339782, 359475005, 431284453, 92057662, 83254349, 557792268, 555344673, 678496308, 423922253, 641914617, 887563407, 191273157, 343981319, 735544289, 489666897, 327974487, 682326381, 832264300, 95114022, 233542303, 931192206, 582186658, 542366922, 827121581, 294836761, 767928698, 125635237, 449382065, 783012181, 533399248, 736192578, 452312486, 643648291, 469034827, 6204926, 754257081, 869244517, 367407644, 657601245, 537396099, 565375586, 677270381, 712065339, 211680190, 403286844, 141402610, 209607012, 299815018, 17228696, 307908329, 978265360, 476288944, 353400249, 243818803, 794332905, 866412578, 580043944, 744794364, 345478196, 706871081, 781049708, 368262270, 5231706, 511813186, 404471494, 703436199, 522868382, 857149446, 597128818, 755689692, 152846262, 415311908, 326838723, 846308891, 512532192, 967901947, 297820237, 247524090, 787121497, 756418262, 549437181, 467222565, 66029545, 179822211, 232140203, 448364917, 126983258, 253704282, 946102930, 887203620, 54732275, 168264917, 325840214, 895440810, 275347949, 824024386, 289592370, 602890503, 710589612, 604276664, 100719403, 436385434, 669008948, 348847752, 791238325, 949005477, 394242895, 949348793, 691465108, 843682099, 981564174, 722655015, 177881338, 452971593, 436225945, 179981671, 470970595, 160499069, 534474977, 195779269, 856317214, 45512742, 793990805, 523988651, 346634950, 746159064, 39685873, 262465044, 150531394, 126854, 186893167, 139852826, 675061566, 701937155, 636393247, 966116173, 872614376, 116686052, 586443298, 592593499, 25899325, 434840546, 890515910, 173323433, 445662697, 439074530, 863222244, 840794720, 657147441, 167781920, 898650871, 638983906, 333627167, 189418421, 647387401, 319461659, 201930557, 748937497, 213170241, 623759838, 681768315, 859715318, 234524985, 899475709, 819458753, 391246263, 43585670, 56580453, 979462645, 521108289, 396309723, 918937602, 707998929, 773906437, 802221709, 568579366, 598197898, 869357968, 379934272, 755926019, 723097128, 208754005, 997545849, 114648230, 36296582, 361894229, 320410478, 394050838, 421630402, 536589743, 189022211, 915393826, 87084765, 957883529, 670702169, 985125754, 899722147, 380400264, 728575324, 620968665, 330647830, 278751019, 249947021, 7360780, 597484258, 120908304, 74990485, 129389943, 382572677, 203399844, 506285710, 729207013, 753569951, 306711581, 987268946, 39343654, 726190948, 111351091, 924269849, 179163326, 842172983, 67679321, 239584418, 133933449, 579788457, 167158467, 27968337, 399186949, 872031325, 753335193, 749495877, 381261761, 401011365, 464126386, 72457786, 10993310, 573663498, 865338788, 87016459, 589729420, 954597557, 388090973, 593265638, 580545314, 89553574, 77283084, 8093222, 354201119, 938294004, 828323546, 324760215, 742935641, 326727956, 295475873, 649108281, 295622208, 327927634, 940518039, 616238708, 375179917, 750723048, 849346305, 309936393, 854299193, 17577868, 54669318, 861377827, 599534642, 881965595, 569679876, 909229443, 9852285, 895581181, 655469763, 83239350, 96862980, 390125277, 361038908, 54127803, 128972066, 380114324, 663874180, 478999394, 106718060, 109053646, 990166455, 227218885, 544050174, 438389702, 927943481, 630293097, 455219888, 636425912, 890707506, 199137241, 832511739, 134203080, 890865964, 31848860, 679903522, 138765091, 205472408, 106859535, 103519329, 67620415, 806616492, 533361425, 746816059, 12794213, 824948540, 315133282, 114375704, 228479189, 913021788, 614053333, 722820424, 237648039, 223610489, 809214945, 508821219, 544774050, 364893091, 391563224, 769093088, 39996233, 821486731, 290256661, 210843811, 83118414, 890639898, 850623759, 567026127, 92862841, 862585118, 325549171, 652011435, 829214386, 9197913, 92097637, 599938675, 860161725, 789790810, 114930349, 319132057, 417850815, 628402589, 136360209, 762692456, 342393096, 526087009, 393629444, 629868628, 686858562, 104658300, 527515158, 74651188, 745327960, 909854546, 494982534, 331349128, 981956439, 37011301, 328374715, 985013826, 380624156, 597149871, 250802984, 531482049, 686924493, 289558185, 186502997, 942527315, 817604640, 398077232, 824851797, 682782580, 124626759, 941294909, 784212013, 774563923, 736174786, 666745836, 655052853, 562747268, 149447716, 16503869, 607712208, 931872885, 447372646, 651930387, 906155795, 23679707, 11996242, 586370839, 951332479, 817558876, 403611649, 376177512, 697556626, 773070913, 846687651, 192838283, 279950315, 664201597, 428582870, 880168416, 154480026, 161261533, 194293863, 43951905, 906131239, 624501380, 128565738, 992846738, 581110517, 115117308, 693620009, 398906485, 202794562, 838881166, 131643464, 964997889, 642828625, 175208101, 13245987, 418453758, 811943079, 829497331, 400578160, 864159731, 475596762, 784856925, 480758466, 903984087, 988877441, 404145605, 106124254, 729207058, 643822793, 565500912, 801197902, 964978921, 270914836, 709795277, 30128267, 350699448, 904395004, 755426811, 445206657, 52225560, 566942786, 16054723, 881964798, 438290032, 147106121, 161503322, 901005583, 163243444, 691589064, 380213619, 493814330, 72493195, 374585490, 945781817, 79201153, 355912771, 374996587, 232489441, 247269738, 492227623, 411752993, 996145130, 403766735, 196647917, 367538234, 323282302, 217016475, 131416656, 455163501, 493312558, 541876024, 191070772, 809596869, 975891460, 497980027, 424732450, 673350738, 137116530, 557943586, 311468602, 248836195, 248604512, 352954119, 304303389, 238581999, 29345972, 212733348, 206902791, 656075067, 955461138, 724836212, 599814222, 311076919, 978453480, 868833300, 509787573, 865922063, 437076792, 958367222, 187626325, 660789146, 216379248, 38724155, 643244917, 541487869, 269323843, 690230646, 945122871, 167119804, 524508603, 910340204, 970754290, 120343763, 459501332, 137232691, 337077193, 553971139, 224506458, 36639622, 851059113, 655202974, 790859533, 840638526, 482769777, 133630440, 365634125, 549394842, 754874644, 99768369, 357906796, 264076061, 580644696, 549626685, 446815895, 765298369, 86484160, 548429950, 822272018, 239623382, 866459196, 835771182, 564619829, 757376608, 740107748, 120038679, 461298913, 719291039, 656047437, 753730678, 280420767, 768294503, 293041369, 298507095, 380137196, 763193361, 178427494, 922631372, 38165253, 172615517, 482901537, 193268319, 198377078, 739535072, 111052171, 610986205, 783589025, 437414494, 869709413, 843634840, 673323716, 281774174, 389164731, 965439711, 220005684, 538481726, 42821645, 818602915, 770598049, 621357888, 475055954, 700946289, 821912664, 152639316, 427060750, 239681621, 257235163, 850605041, 162862604, 896309726, 210377975, 495527854, 914133875, 642372123, 109870596, 668408661, 874984725, 59701083, 613461866, 723377726, 921734041, 709629478, 322951192, 186901879, 859354638, 150225148, 22644308, 350749265, 96172786, 429809040, 103345570, 554767944, 151641306, 532359496, 388507019, 950989098, 403755146, 617534076, 952313148, 243258507, 86295946, 811264215, 768300150, 627467916, 833435537, 471107381, 224049133, 112756754, 201658210, 366173018, 613038441, 869919565, 13120561, 642504534, 211832919, 96640486, 629885687, 640186970, 705614467, 375377034, 128923806, 670090135, 802376991, 314756189, 612840166, 358864786, 12259502, 561423893, 330902338, 164781720, 902587382, 766731177, 721472083, 37001363, 116937224, 608701268, 610776136, 404183406, 2371995, 401237414, 170571097, 135007500, 710519576, 473083735, 943425607, 732545211, 886650042, 110085359, 929853865, 785631854, 236940136, 176337995, 18427767, 854222312, 752773786, 167789188, 612697440, 699104676, 576860182, 934032164, 155157890, 741821530, 851964842, 872286759, 398487582, 29674029, 287804536, 231676619, 695110720, 710239285, 716195287, 268399564, 376725101, 443867949, 868349017, 316722094, 358069776, 88688482, 382837341, 252933372, 962648640, 961299523, 816623529, 47205851, 141977256, 712179829, 119837270, 92877946, 915382336, 249059418, 798566071, 36291707, 345612939, 662389659, 818621515, 457752981, 575388590, 341091078, 429901611, 11486227, 17061445, 112101347, 244150311, 283202258, 94430915, 119930487, 205710495, 648454000, 244894022, 821964036, 985328257, 651316242, 852313718, 729718833, 386141481, 105913125, 909670874, 653661586, 733185677, 843405356, 690950133, 361207029, 426492956, 810271931, 23437450, 84705382, 749416742, 88354973, 612860362, 291379837, 631052503, 568447116, 120284594, 301516277, 814324521, 148560346, 149771148, 184150469, 153642615, 260759414, 134819815, 365153102, 462161011, 729507752, 564994690, 736417890, 822067646, 370479929, 173991683, 905046435, 275967171, 480909412, 19929268, 13636105, 744118095, 790899397, 962417269, 962736324, 117920917, 304940897, 649172913, 365028214, 175698154, 302612507, 87149223, 817989534, 916974010, 845281080, 527867770, 380882596, 98676163, 536179231, 687580882, 399092491, 745706264, 86921972, 832473835, 161159847, 347417136, 659996134, 602227457, 321959737, 747163971, 198633364, 247052691, 214495177, 241688667, 64797477, 380075408, 745550176, 958285057, 420878074, 344750773, 759622859, 372162504, 45047112, 688611583, 475597560, 255074566, 317642722, 526745083, 665427398, 829001207, 694104109, 681757978, 597900709, 830278953, 990278581, 27728369, 546518115, 885763723, 212155069, 489134492, 89596263, 660395311, 90964954, 883183734, 272639564, 273703568, 945723266, 534587424, 980344613, 799679624, 647531081, 128157031, 561084192, 596265751, 896694725, 718726313, 65020233, 162149912, 978131445, 800540467, 260589946, 716541007, 182114653, 513415862, 277804606, 528871959, 751464651, 310098868, 980415555, 384287213, 522380257, 23202895, 777018368, 135023159, 857500520, 796306458, 820217959, 345921797, 709864427, 481990589, 935853275, 490707815, 717951653, 663760457, 943964041, 447762398, 665385599, 533377719, 794737361, 942328921, 647652228, 148870131, 758506687, 457895546, 155104764, 455809557, 457368859, 184046322, 721602660, 694125902, 522436670, 312914426, 679325936, 882225464, 518646130, 965055124, 774862241, 504582947, 615113554, 71686339, 300635987, 93053363, 73058288, 121311780, 668647374, 552343117, 953281570, 567622809, 495423823, 898089588, 561397124, 674155817, 220523465, 421281929, 453880160, 186802771, 383635411, 746468438, 349633588, 944027903, 519739429, 345261735, 360093165, 796473363, 36369763, 26301434, 214920149, 247312705, 626980272, 334658482, 568741695, 4485299, 690023999, 966895098, 399989306, 959636373, 571946610, 332122198, 723826407, 840674263, 876140214, 30858705, 926011395, 620646699, 276609234, 310303871, 885610934, 567336328, 73720505, 318781766, 565101611, 901481340, 700912709, 442566779, 179267790, 352748348, 194998300, 637377460, 62296358, 254440858, 439151803, 379320151, 820757653, 636042888, 881842181, 467991477, 69384126, 781821096, 522145551, 219895776, 704765846, 685982905, 456209821, 853681210, 790333083, 229450375, 105912003, 184549653, 886475980, 362453804, 163750976, 835524238, 213942877, 753113015, 756405923, 987498101, 750599179, 382095182, 37558319, 997484480, 525137165, 175943634, 687181801, 161007043, 999958215, 940877945, 280760197, 672205629, 465727753, 987696458, 831841142, 198325195, 304884560, 24459121, 850685706, 451532639, 853795862, 537144182, 735181950, 392783308, 103313915, 811792022, 236709831, 992695806, 50781643, 606507366, 337589797, 107509154, 664201577, 389159456, 614081109, 322073195, 224358632, 976450953, 502596082, 139829339, 568321745, 291343240, 639165083, 28786770, 735514500, 545058759, 163943563, 982005661, 956652487, 648323546, 983588048, 752311091, 631251547, 186783412, 769393515, 483299492, 75387747, 898462290, 630485973, 253213917, 143598161, 153303405, 105299037, 248902353, 851548394, 13135959, 833529120, 305471441, 6217980, 219569514, 628102281, 414235097, 858732557, 354452550, 303936043, 76292410, 490622349, 913848809, 438340299, 757866421, 108265730, 310042929, 953701866, 95357220, 306411531, 799761106, 186110473, 51093024, 769938395, 571095868, 220207378, 391614156, 385322781, 196550766, 360989876, 600936955, 819318953, 952281691, 370575557, 480066652, 213328923, 178632844, 786980008, 659059262, 12227517, 593370218, 755377894, 623593369, 151724770, 998191686, 157654842, 55000129, 599865415, 920791311, 308768569, 960695368, 572334194, 431652556, 556249318, 783917095, 651927966, 481388343, 812841789, 105491406, 11437269, 763027261, 459280177, 271033609, 966218099, 764938535, 696145393, 767957240, 828669846, 474045453, 794932989, 735558317, 693408014, 241350273, 130333545, 248554991, 690280909, 995689906, 397910055, 175629901, 571517146, 990203022, 281347693, 667140, 939668721, 27662806, 617176635, 996234410, 736917270, 173217736, 55954124, 598265619, 650469593, 685483296, 335149384, 934815242, 677371310, 716648422, 380163979, 225250866, 710222816, 606385331, 739420632, 14084009, 901592322, 672531767, 523723950, 151824987, 238992528, 348739888, 163768174, 823204503, 780747393, 733954334, 633072617, 367378195, 314254345, 382968856, 624468732, 178046497, 286371348, 168569422, 657009523, 380141889, 193924380, 239691012, 161829284, 636651783, 99673716, 342854453, 576408858, 598831665, 531836396, 858625362, 112512317, 841622599, 495775855, 668898378, 653029038, 957702649, 684691750, 830350591, 982513342, 918739949, 180338176, 906361314, 626666048, 822262984, 223554106, 610059780, 393221027, 845548423, 397964241, 450514409, 237553046, 916001576, 315965408, 609647319, 404880975, 901810787, 24463953, 606190287, 712148710, 862966420, 700874999, 588454837, 67227931, 538804851, 700846661, 172162986, 82205084, 222113937, 607607230, 966438685, 480105178, 855234177, 671352957, 984046573, 322456597, 788383453, 550116364, 262801243, 985335107, 87627748, 273253974, 598466861, 940725935, 55799647, 390469286, 265514226, 996753499, 536135173, 38920035, 326363314, 260148059, 988500444, 859826519, 601823738, 412565349, 109709782, 311687984, 206911220, 141507397, 317667145, 903413526, 19705390, 720882025, 537390606, 944367045, 598750562, 591230202, 8853405, 829025645, 509554745, 57614777, 673021578, 813917871, 662835612, 140199937, 215028406, 744364700, 58273074, 612410786, 912969076, 332648087, 289611530, 259874055, 298498923, 932914319, 791202378, 206172633, 724285543, 597914265, 3286249, 777943270, 677994693, 18307633, 754410377, 682295054, 17300153, 991400593, 624006451, 18555047, 401960518, 206101641, 911750504, 867219383, 51702163, 777011323, 98575065, 376926819, 971284916, 369709437, 751709601, 682885422, 261990935, 114238708, 337241269, 197149968, 63846134, 999310944, 741843331, 499167938, 595437222, 523245528, 985466563, 607422674, 794147676, 597727722, 598928179, 430722475, 695470872, 235130074, 413519690, 105504287, 154072793, 129274816, 135054588, 195572758, 353939178, 424536469, 827765541, 769139142, 115601493, 204856241, 283906635, 575589733, 361766574, 426321431, 454702860, 304321712, 661562188, 7663736, 750468914, 703210298, 704159631, 254285180, 718719539, 473772802, 300999484, 660903661, 228380370, 23332607, 937547643, 308448558, 808694827, 278402879, 108422915, 654796028, 356765387, 171453695, 933571548, 95850420, 643668921, 4182777, 212592997, 664429005, 410166513, 433605742, 787760699, 735425230, 133875442, 188855539, 27393510, 423707690, 953128397, 679553693, 170347395, 245076842, 642097414, 929593218, 42071058, 35104748, 675891581, 526797784, 951284655, 838784228, 680645442, 485224672, 110193101, 227331633, 858542054, 551775611, 88076041, 944704115, 149320513, 364703160, 502599171, 891967187, 683974911, 479237915, 139935891, 574811542, 474359458, 639071436, 736830265, 133590604, 986430985, 223025412, 985812336, 624067866, 355077770, 377245137, 679344163, 781091359, 230027947, 22300197, 140821423, 675472944, 564070052, 730124423, 150821779, 39963102, 172300096, 611242831, 356836814, 323226171, 490630975, 394582947, 68930618, 797462554, 346961806, 829859808, 22475483, 283991327, 662181099, 511452677, 855770275, 958232050, 224405243, 762800174, 606147673, 200551704, 938967662, 346985600, 153300168, 279764391, 634447378, 68774207, 972406328, 40592430, 232248815, 409238569, 113851853, 615514057, 236357303, 766449082, 916414201, 63090703, 939220890, 527286879, 144094034, 724647889, 495017665, 648191564, 497574785, 267761337, 251819459, 470451219, 447976486, 782682894, 344833827, 108576841, 127088452, 665604434, 295958265, 165210595, 325356401, 430718599, 373473026, 404687892, 603699946, 331526390, 642193994, 647548679, 923958911, 201947430, 999637401, 364671939, 920728022, 364866363, 486186925, 170938904, 399427944, 180529832, 779483062, 596778060, 344499670, 690923583, 497271858, 93319236, 319167027, 424728637, 585924296, 211207559, 384420365, 186533790, 96132367, 415397138, 198127980, 456342037, 977677992, 199568859, 838061427, 98365136, 98782195, 364340070, 594548449, 1529512, 283731492, 307156495, 621641065, 23581712, 607641284, 678188956, 645283439, 115771923, 966354407, 641924970, 332190940, 625028540, 235660333, 540507808, 839241001, 87824699, 981633958, 736532063, 99394345, 545457269, 439977928, 818626907, 882245070, 45173246, 184296627, 223055876, 35868165, 570644225, 629010291, 243148661, 935857249, 588399755, 704807787, 414610262, 361978138, 252757307, 42963698, 694712915, 214565828, 952614694, 635146214, 809099130, 942469426, 982695480, 660087157, 815285801, 333737944, 81685683, 776639768, 939218595, 319864853, 88895232, 235399331, 88664419, 366779592, 503985975, 828720441, 904443082, 57517986, 412889294, 331848505, 624889212, 276543133, 9615342, 177729890, 700954417, 704076570, 803306488, 913664315, 793087822, 892616934, 867721704, 532680584, 265929828, 832413359, 668474079, 929704378, 295608471, 826676033, 835181920, 854399001, 25327441, 33914472, 314236031, 875140461, 226422656, 619759165, 234365392, 332078725, 727633621, 673445898, 213613424, 89544798, 734463096, 321283442, 226325249, 747881366, 3339780, 690155949, 183313009, 388020314, 293947088, 266907420, 898659854, 536732017, 373183931, 417407304, 254023199, 213298873, 545283083, 52212215, 664404240, 125511204, 80290581, 274078222, 519901555, 766670097, 647701189, 802503828, 631512179, 315818593, 691984443, 830329082, 899067600, 542015042, 778308693, 198457144, 376108970, 289213167, 527682033, 722442949, 506891582, 889163052, 923986625, 524261250, 705512823, 798912302, 873222002, 647621742, 197470620, 600576817, 720029311, 744503646, 30514387, 176361078, 593230667, 11890591, 913188881, 127435449, 827642293, 681936623, 70509540, 72536170, 378611668, 748147288, 922037096, 982654552, 731396052, 63395032, 753721296, 736757255, 375421698, 211379539, 143146878, 732145127, 303974915, 437836712, 820394274, 750621525, 217416908, 795186582, 189709038, 219866724, 480105200, 413112017, 743651662, 705282807, 145122632, 286975201, 893722621, 545701082, 518571992, 263547201, 346658753, 371888016, 68518168, 601626551, 744322839, 227987561, 58912383, 178660721, 902376830, 51191471, 440517503, 624126677, 782991576, 201439836, 714823104, 741882755, 808832032, 812444608, 264782750, 944187973, 854043047, 501587157, 603721385, 793870326, 470793706, 149943082, 553352716, 96403710, 851791189, 13906923, 798525012, 942729228, 802825782, 107229472, 485951855, 516128471, 393861141, 397399465, 363846566, 454688309, 639315794, 83829769, 505912711, 472992959, 138983417, 766846734, 161918030, 453647940, 223302967, 693703550, 386187943, 610232959, 936628734, 392570463, 169144501, 846916998, 695639295, 795373451, 217276095, 989379072, 789607985, 191152460, 913685441, 352124966, 543799634, 810593491, 8679394, 78486976, 384616886, 345901117, 607599922, 630879855, 569817192, 328156856, 770689625, 321233893, 796314629, 911345686, 379839302, 825503108, 861476431, 701590885, 100403590, 249268554, 657178765, 953308960, 515181111, 653825577, 691212488, 817307658, 821996660, 425789190, 264682662, 127309839, 42492830, 650272373, 353940087, 716689628, 83446527, 611087093, 952192610, 834350795, 617644925, 37275826, 285808101, 544487511, 505602898, 280339426, 58508911, 728219192, 239077278, 190952376, 564648807, 741232314, 847876752, 940160677, 797912598, 214762465, 324548159, 329592292, 827495836, 623861375, 801652245, 173761351, 20104467, 341993201, 232337787, 90219720, 595179861, 239360431, 191307012, 382351974, 33035099, 911944809, 820247947, 996480038, 464626253, 656972329, 78443055, 752052045, 258267793, 559094408, 239073724, 105590191, 217866452, 956507105, 663922377, 46851689, 538400837, 324701367, 644289761, 736786761, 499615204, 376538623, 711605958, 572335414, 150057687, 677067731, 332975367, 926801169, 616081723, 19920906, 531013925, 34993572, 490436318, 847445552, 266906782, 936024890, 195580391, 842354960, 450460136, 20274533, 196935008, 787076882, 826876637, 535858307, 549196391, 316694226, 806457026, 629855583, 863563625, 914782258, 974337181, 429270802, 527580517, 523984922, 113923869, 811334285, 461177181, 279838070, 111371453, 79325065, 821308376, 335975412, 243614919, 825116895, 498921789, 608259139, 663712586, 260285682, 603137638, 341980141, 384018171, 509691463, 695611009, 113874875, 212904751, 329528120, 69629163, 736770738, 104112326, 878670767, 200481908, 324880961, 678558404, 41705414, 344538260, 811878596, 386608956, 651042838, 68809391, 959914659, 573143699, 824284712, 117104861, 804721453, 68366055, 505713284, 564813240, 864825402, 507917575, 72404696, 114643110, 736371162, 542693521, 775065300, 57471692, 555330998, 699717203, 403007909, 39747400, 464456209, 652633954, 648838526, 27955212, 982143794, 387229126, 167560864, 626502628, 403550914, 218635638, 910443796, 159714175, 474059427, 991798825, 461150043, 527330827, 384317469, 304014388, 531923195, 588547891, 865684766, 525170127, 652469653, 663572806, 417494105, 554646594, 482195551, 54358640, 362798315, 399634207, 923919656, 732987842, 115935917, 781792802, 806244354, 788292135, 451120963, 419331499, 582492068, 101314541, 436812063, 219922194, 911224222, 342336123, 364436942, 493607033, 758820934, 313627861, 657925277, 261732439, 409327934, 941235741, 764469578, 490417435, 842883714, 272655629, 668345270, 23994738, 684580160, 206950606, 564839051, 898243515, 977553981, 470738801, 351139037, 247829949, 242499671, 944468524, 865833616, 364906727, 577440734, 585949211, 198912881, 297976919, 479609938, 79623690, 345088450, 152688310, 6928812, 502042670, 350671845, 255058155, 333735506, 428852390, 174012951, 666373578, 489844732, 990841498, 253261763, 464338389, 551451327, 252396818, 242626363, 192628882, 67435135, 419689041, 840807245, 626923238, 258577165, 174288150, 330548645, 950657713, 645411103, 186120612, 12548360, 494514941, 142115189, 307837993, 5672794, 419375020, 496047231, 23306173, 401131181, 180806754, 10841706, 636878491, 701774697, 940767462, 590542913, 627164450, 851111003, 806757352, 410487523, 889234094, 543491184, 438624596, 151064368, 406430719, 662682323, 772996330, 300028365, 702722761, 964468824, 411238301, 34152881, 229213150, 184969961, 362866047, 575894075, 217117676, 396484574, 712088915, 112099943, 831912231, 84575519, 889709903, 158658384, 901137082, 885898440, 471871195, 234666561, 746125444, 436925692, 799608256, 215948997, 162248527, 803926016, 357660628, 357903927, 91050517, 647777867, 592456305, 504752952, 121202909, 686225442, 59851481, 715855152, 527852437, 197909196, 723955262, 902619717, 10240796, 45195209, 887661510, 586417099, 803771514, 509661368, 23293765, 366184883, 701516360, 661054294, 939369955, 621085820, 42533461, 914796942, 947071001, 219724556, 485391570, 607797679, 355948474, 734984097, 39895987, 89270221, 41963839, 389615516, 890345716, 722032821, 289929855, 104192519, 863277431, 601011809, 666816156, 425776232, 552572868, 603196837, 761691433, 964441909, 530215261, 692613830, 75181782, 801501873, 803781597, 137480281, 430721656, 29164832, 250078954, 869810726, 460735226, 366989677, 700797177, 872564590, 280464315, 796475551, 190340450, 318664915, 611606052, 688279360, 895506157, 768505255, 935260854, 790044583, 379009447, 649436334, 798030340, 432931265, 811723352, 667470689, 706457820, 634329976, 523246816, 697935190, 758925470, 306809461, 66444414, 645609263, 447913746, 536244283, 877976605, 623324286, 506948816, 854872946, 834000679, 543899806, 555073738, 246751817, 787511655, 208642866, 131730358, 531890992, 467685252, 93810624, 77363003, 509253025, 791259303, 394624206, 996746690, 78003241, 799911069, 497833389, 37214648, 962440973, 728374351, 177191466, 6022373, 249413015, 417466720, 368637271, 365602281, 567240438, 742567697, 847592437, 979187930, 428437406, 970511686, 166106526, 908324762, 654161597, 301887420, 803257610, 912367048, 415820808, 345721574, 585118128, 877682611, 664788664, 599523175, 993347196, 993209569, 491088496, 694423663, 448472737, 536665768, 456276033, 848754438, 691604521, 876381226, 159298711, 1392236, 79444164, 251313597, 152095737, 55642184, 221072545, 145939186, 598170474, 477061060, 856020402, 715134874, 459115723, 629165645, 194001774, 527630907, 770186591, 836883786, 866907974, 934349434, 20727810, 473058042, 428586201, 951791314, 134107174, 323557463, 88816619, 551277022, 802548534, 164773722, 89768218, 514704084, 324403849, 833945114, 662782611, 774818841, 616313535, 743316120, 955732435, 329267195, 659738459, 145028402, 24050941, 62387118, 295795031, 106791464, 518711208, 244907206, 192382855, 874967944, 626304545, 394076065, 738304328, 107983559, 301670283, 467292527, 145045456, 912454342, 516736552, 962069434, 726620194, 537457560, 92605700, 258570388, 684316319, 368288455, 885614440, 590887797, 599892554, 919714654, 532090593, 652828379, 595255944, 642708187, 781590068, 183541722, 298892077, 412222122, 925699114, 843119482, 962256275, 321379137, 807527899, 300212293, 418360534, 302653219, 871656850, 224692383, 595716132, 34475580, 142366243, 900581057, 458326226, 491680710, 882410308, 91824052, 604173344, 8243158, 342800527, 15832332, 422699437, 363719339, 855364040, 488142413, 510309158, 147005435, 603117729, 100494043, 565346673, 495770219, 138886980, 133863144, 912561016, 121290531, 630589352, 960968687, 744821247, 772313662, 959848675, 82867073, 976432944, 22958071, 504213538, 60635680, 90032846, 67586123, 101347399, 593217305, 787981693, 595570611, 596553011, 280729940, 216016943, 722222300, 99587131, 994241671, 927294049, 191839561, 916924338, 313989722, 401126964, 360706287, 662557456, 395614500, 715922449, 13683792, 272006607, 46788981, 982362538, 234391132, 672430718, 680872203, 325372883, 671573985, 68142470, 624164526, 990101020, 728517163, 148293796, 959871252, 731802306, 296567609, 737880167, 632145843, 226449080, 114389104, 23444169, 263869011, 40541501, 36875729, 289460743, 761454949, 401394396, 655044459, 102831369, 610405320, 510646248, 700817461, 799868189, 164103077, 106359726, 313285253, 942343836, 843919441, 631765544, 843525590, 271108409, 372082996, 178988939, 264447788, 101713373, 857549554, 575687567, 497065221, 198158773, 977440912, 449533621, 10472630, 666628896, 795156383, 576242523, 42695742, 770202928, 763049156, 285801186, 771145851, 342499390, 817732574, 389688821, 149847848, 70094705, 297193609, 755110323, 949278440, 452660711, 476538738, 610985624, 346287829, 666771185, 30325169, 395638855, 463334879, 641436379, 546288372, 222678400, 966459843, 656006616, 432587971, 107313057, 33598233, 74006833, 830428300, 809671128, 539129559, 241523757, 80900075, 949329782, 172901739, 154444972, 685128679, 375726798, 430739811, 187985898, 742686925, 865421896, 259373377, 838502623, 284877244, 232780387, 902119473, 490596614, 470197491, 372720825, 320926319, 735063149, 96449942, 943281582, 964237513, 569243779, 615071851, 314865438, 654882057, 103306734, 718749349, 627274308, 246437976, 147004156, 978873386, 579422059, 817095532, 389751057, 150957440, 857218084, 191793711, 738442551, 548577788, 808640760, 65381483, 390494313, 409839716, 307097076, 165408469, 969701262, 852626791, 891944604, 991687789, 58915100, 627247615, 732136465, 302150023, 712566397, 463614236, 527952951, 828610458, 404025651, 818474030, 914934132, 824416847, 986451119, 200115021, 65788795, 483231932, 360861091, 735873450, 184919016, 125838113, 717802601, 585046392, 579286789, 313697798, 561915847, 430913594, 297248954, 302865941, 321507762, 915106260, 736680043, 761214008, 888633455, 317127670, 190936174, 692251634, 177827389, 918999021, 220190044, 396117996, 628568199, 26102509, 811530328, 923947717, 55252740, 337419520, 658507034, 378036244, 472052417, 654313257, 406058743, 390867131, 500382591, 462743950, 665671557, 549734307, 79290003, 93693914, 868961708, 709073649, 80337270, 775502165, 627004436, 556640777, 83868075, 883650303, 75657958, 855372773, 968686496, 470643161, 15838115, 789341076, 400641052, 35676652, 583143325, 508108660, 925853850, 516864895, 562537011, 353492917, 772695372, 142927657, 45429278, 45380915, 748304418, 68479614, 248260876, 691503410, 89406788, 647535039, 792620439, 249301599, 650267021, 541524575, 216976940, 807800317, 759057249, 690015472, 552021336, 123912751, 224084687, 941139650, 875177595, 638850000, 410405227, 554011643, 494879351, 573191697, 578791208, 705110949, 847819699, 981601703, 274873117, 720298603, 734189142, 106244833, 776060474, 626983047, 945204613, 751745477, 997150170, 809320498, 226538738, 321458542, 276648172, 574697698, 334109839, 294079551, 181227799, 958053552, 472212119, 407929550, 547877066, 183747013, 475879629, 94617612, 807354696, 882763026, 211275900, 251153000, 915438415, 400942514, 328605606, 222212519, 355541176, 260904719, 281440774, 974502972, 817783723, 195916587, 444584990, 709547448, 872146924, 194181959, 631049771, 14899912, 123647157, 854433845, 723424984, 688810013, 517421940, 208580394, 422609214, 412091115, 886023169, 804043640, 822396152, 542087888, 127977360, 870144285, 922830129, 190043447, 677979576, 750585734, 414489475, 314336584, 621462920, 876822167, 880942582, 364207708, 492976938, 526377216, 363216832, 903376249, 76263958, 581860800, 982265310, 371172748, 599028596, 860373684, 562774468, 192933502, 898259535, 606759995, 685881501, 3304270, 17128575, 214411944, 682426811, 895521289, 622157762, 962164202, 253533197, 668402319, 657285663, 481112295, 860517038, 580393168, 920520959, 534689745, 772032587, 354958887, 824582013, 478505481, 339520553, 809556239, 443720496, 589395538, 955066590, 411197764, 426434677, 293373165, 192393410, 252702486, 321342551, 163599000, 85518746, 769364541, 834326234, 264827941, 602189183, 66422511, 836263847, 557169782, 965768511, 943890145, 138567198, 290280797, 55998339, 176758673, 255990268, 405067889, 485223819, 326257453, 41801771, 300599161, 522937048, 964868733, 374590487, 348642396, 330600259, 187951714, 239643314, 486568268, 727204814, 896103362, 506719830, 454646956, 309343592, 164780752, 500543213, 411930770, 145405078, 361636234, 187007084, 62487178, 917692236, 907148403, 909747942, 849463219, 73857482, 345576566, 487249414, 946054614, 155802869, 156310762, 957263165, 49484130, 524727501, 33013087, 510244451, 954617469, 627963369, 728146927, 624377773, 79157397, 152638049, 341743619, 656712582, 893597881, 516477517, 692572811, 917468953, 920250588, 589748417, 1459643, 379441942, 37252933, 145462292, 850537523, 735230746, 450259308, 761951708, 893359126, 282490095, 68844790, 667017304, 270176650, 142458820, 304210311, 354256325, 47478055, 586368181, 628082731, 186058217, 734446717, 150743162, 840405274, 184298476, 204959115, 576991599, 478395010, 692552546, 737191691, 738757298, 349891731, 498507673, 159269388, 215203440, 262287754, 868412497, 328792006, 714488932, 231218075, 33845727, 948073700, 326188080, 278790909, 815469350, 953540117, 514045769, 235860140, 987998610, 535847292, 186157940, 696076926, 724017363, 121824867, 299806509, 421938928, 291774915, 51841205, 287236072, 572228415, 558164570, 950003344, 879907506, 473493552, 774818248, 845708259, 898794869, 56459255, 796772042, 375337054, 971083401, 423636847, 750800330, 399865749, 327665303, 4057308, 763531927, 558029241, 340062576, 133913325, 199574414, 734184755, 562649442, 144129551, 911597463, 22111520, 85690535, 239939987, 198285546, 401680775, 615417291, 15772515, 377386206, 759462991, 495538757, 743870183, 332244917, 80916598, 7316464, 843126102, 258278425, 10908732, 679838691, 236447324, 538451172, 40272839, 46541250, 549919017, 289254695, 718358200, 702643347, 83461821, 923335595, 38165615, 168705185, 783973190, 99039569, 982305823, 913040739, 700919409, 551888822, 904959024, 464166169, 83558929, 391125636, 969110020, 337226464, 621047524, 651657489, 300195180, 972137042, 266192816, 843558426, 560722978, 991612801, 685097958, 875618415, 679679037, 308691009, 262552480, 860540393, 813784008, 52762035, 640980592, 881614443, 932487147, 244043388, 494279567, 557995408, 689483528, 666241328, 370031497, 229554457, 386956473, 153326136, 572943214, 221139611, 202201457, 871451742, 731872617, 712632919, 37332798, 871399459, 706288238, 364737882, 682673855, 484173961, 549893021, 127130365, 785643772, 866996577, 123091874, 812973037, 550042819, 321785676, 669647155, 863871826, 348654971, 518630139, 285618580, 616583471, 713331193, 276825038, 599387857, 897758426, 754347176, 880233544, 518001800, 576050561, 855178569, 701480061, 95097274, 851528633, 791075357, 704411492, 771832795, 464116037, 184630816, 711143696, 676133120, 638071142, 64227033, 223855760, 222200440, 359317764, 946448122, 271021522, 476408498, 431147530, 411110763, 837304898, 762763683, 875457018, 253349234, 679779727, 95021319, 87047538, 897306997, 289897045, 29247771, 863680675, 813187840, 701133485, 102948951, 152087573, 272646939, 469157771, 193061072, 748320388, 729204526, 372192280, 918089936, 348290013, 5841329, 589221720, 363342557, 492556170, 955046549, 766755730, 119189065, 65925707, 823983681, 279723170, 256188704, 850596249, 949676256, 690558807, 8571939, 69563223, 558637985, 175450762, 620823722, 236799703, 581891535, 24666490, 640207019, 283325270, 376635181, 745356996, 274819358, 988602924, 148426670, 593710906, 4253844, 484426851, 89884046, 882358398, 861796240, 79661506, 974991808, 947216100, 506012485, 436807644, 684178305, 906853429, 290762531, 315715801, 623901066, 301930359, 763820190, 464359479, 200255563, 859121848, 267496949, 57338545, 845509189, 933751956, 34738299, 568696737, 763222085, 982812509, 594430870, 787673875, 961156889, 494196706, 472970221, 914426847, 690571330, 914108021, 292925210, 156385753, 66073144, 105464259, 780480772, 592287881, 690930628, 925420495, 565354784, 298175124, 349854442, 101164164, 899375561, 170157910, 102136019, 834066817, 989836492, 184631096, 833660445, 786795713, 713548051, 641807104, 229436970, 201641921, 560489227, 854446085, 472888205, 970664813, 639920280, 785409829, 787022726, 462865012, 569980048, 275540748, 165970557, 1889237, 622791781, 202623801, 834940307, 310580857, 606943347, 238628170, 444302883, 641240201, 471363401, 658770635, 402794814, 609214127, 255238900, 469254801, 438759034, 578260393, 166715951, 611248244, 355601301, 444040301, 428635391, 279665981, 790131150, 783273484, 470544525, 691546789, 603243096, 285138606, 747440044, 318420356, 761681839, 624056935, 719769107, 658952971, 788782061, 181814573, 291765530, 585776625, 838099622, 900835297, 777669605, 590717020, 702310962, 48622839, 705321197, 821883491, 470804252, 192981831, 110991328, 87318376, 11035542, 80507137, 575813607, 289450600, 606318493, 851005888, 919056892, 66927271, 97633852, 485004287, 249687202, 908360427, 180230041, 269962016, 645424671, 815178330, 532381442, 245038780, 974597428, 578223705, 492597859, 766153947, 995538923, 363527278, 755826725, 647139554, 445861555, 742064401, 45576451, 287981263, 676583068, 60224936, 951626087, 214370574, 911393025, 366365897, 891514259, 590746314, 543768753, 132823666, 689047470, 916268612, 412228698, 173165566, 534395165, 940767503, 388998263, 3311077, 897255656, 370536348, 832064183, 53007332, 311139942, 972431835, 806418483, 356227161, 808760045, 410384782, 772792393, 888565380, 487993003, 518738494, 12543900, 512509125, 848109644, 661441535, 19311007, 513450976, 777226606, 335686202, 897163267, 268198822, 355187107, 633489672, 425695944, 88920662, 873263778, 60081997, 265595702, 922398162, 819771642, 295538480, 268322103, 382290093, 447066923, 796385116, 22509996, 757520500, 194593219, 496081844, 645697965, 849971315, 479363534, 79955001, 545447227, 236456471, 448153505, 974571188, 261972926, 118913323, 274618938, 325415895, 759662046, 962833753, 664638114, 130231034, 83408531, 396955253, 121964459, 375415413, 176709293, 78846037, 393887789, 833554893, 38750607, 263524531, 111467789, 92755662, 924718513, 995316765, 824668497, 440299253, 688168066, 781626671, 54889791, 640600323, 524736289, 829811852, 501192637, 121631957, 473979383, 427405895, 848345648, 559148660, 288250753, 769474111, 979870253, 168692512, 248815449, 642823960, 478841080, 517622890, 598833801, 882863752, 603758796, 69734848, 898723534, 323080384, 911083089, 272374179, 842879823, 689287350, 638809065, 282921243, 246585127, 773971446, 997675743, 962777757, 578769687, 568950323, 770342723, 892549939, 155050579, 947220893, 994003655, 518024991, 137148477, 983625903, 309813507, 745947622, 482986386, 809444763, 289738684, 86120610, 235178057, 219580863, 521663607, 193776216, 248165902, 9777455, 681340188, 599753489, 437977659, 220769375, 917995945, 192874960, 647970962, 21760017, 522617830, 117659063, 356863362, 1537485, 311081766, 5643082, 732970033, 831832659, 357456080, 262615073, 81887119, 213552633, 300555990, 656608097, 30024117, 915730063, 405132249, 144978145, 389168214, 158433451, 157809979, 813028329, 718378620, 257863918, 632145867, 447761027, 69196905, 64254285, 645774933, 909333345, 265991464, 562292561, 752175378, 335757526, 5996023, 447158574, 278298595, 789920372, 292426121, 964652152, 701689144, 859990105, 200836041, 89596709, 682374246, 673878239, 367068047, 265044014, 680988505, 768750393, 785717116, 511672667, 664923158, 616481353, 238197061, 475767569, 265875563, 692191376, 634715795, 2570390, 657129653, 887799140, 360376721, 292086076, 575023302, 571223522, 485523464, 184784202, 855678585, 342374655, 801561844, 819650222, 140468740, 869689580, 396003197, 188082502, 789595271, 593725877, 607463026, 542749857, 375243167, 883235674, 903442563, 221887034, 132872532, 225300691, 836708641, 127345829, 888761853, 401953400, 143753469, 353977350, 734449771, 734486225, 517973893, 742108050, 293536010, 124278545, 31071536, 818315015, 980865758, 166905416, 539073384, 780302059, 247341847, 788176900, 818780650, 9014734, 485211281, 662075747, 446943574, 296298323, 701139013, 384233463, 726307754, 63327783, 162224639, 272659834, 114210948, 176275056, 322225550, 494750750, 435669923, 420248974, 986923079, 807935496, 399245868, 240568485, 489415215, 779556156, 427862330, 715874501, 998890082, 312816648, 404230372, 138879977, 640035370, 658236913, 536133749, 189409930, 985378651, 943408375, 244475569, 342436343, 217071200, 312520183, 921967322, 599949387, 715139783, 479602169, 787520539, 320852034, 582400795, 646764451, 584141842, 272599159, 146246103, 705519308, 908469826, 149776052, 267306117, 892535958, 485679048, 24664527, 667251401, 363245894, 483856980, 118587216, 138497368, 375310717, 770031900, 559257920, 79138722, 18520294, 16236625, 247841769, 810183668, 555624201, 89682385, 543556387, 184227865, 29159080, 631463993, 578841998, 719125332, 718134409, 560105243, 695783366, 495795269, 877322068, 742774246, 136519799, 322297293, 190953648, 642965942, 651148009, 825793291, 848366880, 262203117, 788454627, 848185147, 469585955, 515526063, 849242782, 899876173, 757247669, 518912586, 657080028, 907242368, 626542912, 205780432, 357717717, 343906484, 973891627, 906484860, 675047429, 962312160, 432320801, 484360702, 776761958, 969031601, 23632000, 968420513, 706607924, 554882741, 372447081, 694701826, 873771783, 169534173, 841623676, 460981187, 655401077, 366849104, 431681920, 679935562, 37828438, 208182645, 995530820, 422509247, 100772786, 201215358, 862588899, 44779329, 567671325, 328576529, 740653190, 176051277, 690320401, 288966913, 635154108, 339500686, 270641061, 669593275, 20704746, 207555787, 531607726, 803159973, 745736972, 637261987, 440599680, 54199868, 39427439, 534290375, 548593029, 215936349, 412117230, 578238884, 62270160, 945719965, 360064481, 116054742, 27711553, 492381786, 94087964, 692769097, 856830651, 10079110, 197390042, 570833308, 398103844, 271414016, 876763582, 179067241, 856907644, 299473961, 85168672, 227913635, 182646106, 7953039, 30008040, 23481539, 988007091, 494318636, 418666553, 301209462, 954936837, 852261784, 598763136, 363752446, 879770656, 281885262, 339547946, 524769731, 113533882, 62688088, 944701683, 540569955, 805914594, 174318444, 636478775, 288935996, 846163118, 6933279, 948143655, 798966516, 992546518, 283749336, 293638126, 682628756, 675381425, 734493757, 892734725, 867766886, 648926284, 656234375, 12291511, 43332683, 226275343, 274810104, 940339915, 535725641, 771829090, 494952143, 676321148, 816658558, 414217821, 223925295, 129870265, 163676703, 87841183, 493811269, 219736597, 583384202, 605405151, 122010915, 783240518, 994873462, 321881180, 902070369, 633129504, 29566631, 666010803, 249878860, 11703525, 634872961, 814565278, 322674240, 3768196, 972212568, 721173578, 200544544, 482460777, 518450026, 435331927, 605349521, 770413209, 823119462, 161788846, 7964471, 100637231, 970084812, 783421997, 201097047, 266752500, 30207067, 202412961, 728531581, 728895609, 614426019, 398499830, 100953717, 992215407, 43445998, 851684325, 30958392, 432309097, 902032955, 472530145, 14599818, 162022319, 116446857, 926123886, 285615768, 951329543, 237593170, 541738879, 941894822, 468388868, 900937349, 897808791, 634620723, 19733648, 365834960, 383353347, 12077503, 285630379, 410400835, 518977870, 728374378, 499105059, 687241336, 187509732, 91777862, 66436514, 581040299, 544511686, 848330775, 506948508, 852295134, 352117921, 480048443, 711425558, 637081445, 886315932, 715137752, 737870362, 848108942, 456443354, 275901370, 779773386, 910145766, 182551234, 772530601, 823633058, 175198429, 697646565, 384318624, 698533227, 774534675, 574986922, 287286845, 740509082, 502078495, 774719793, 191152899, 459082349, 608549553, 630243867, 62822387, 673101955, 206264350, 821934609, 339317585, 607765385, 731603762, 815542012, 32158127, 208254331, 545489321, 878167018, 373401899, 705359126, 911210908, 751099254, 611170386, 180678505, 481032847, 561489024, 437540447, 714743416, 623470341, 867032431, 426103035, 187394170, 972770300, 767087515, 370523297, 7674861, 944474792, 541986061, 771598434, 6405700, 269233814, 763686761, 793758062, 148403583, 484421578, 376346017, 143978985, 292651974, 743217116, 430172240, 440608717, 119850863, 710330150, 849584841, 756419165, 395218534, 313735374, 512449608, 670639704, 916004494, 787945132, 225528918, 164386336, 23553749, 565626363, 314337475, 580280503, 400323809, 240870136, 229370031, 570539938, 465347228, 803211533, 418703449, 366085891, 496577607, 490830370, 297997277, 46899797, 271291375, 248755674, 146620732, 175431417, 633134805, 873301314, 16602139, 293661599, 868370986, 970316555, 187997377, 14275234, 2613735, 148424093, 791606209, 305710533, 219634156, 414055225, 388621152, 322172629, 725317450, 14720368, 361220672, 437032596, 17088960, 55031101, 297321695, 247089060, 537445195, 95681841, 712900488, 853380491, 246115213, 151639446, 507220727, 748643990, 930648537, 683730996, 306229334, 81132001, 224289122, 221413952, 621881907, 404886702, 96250993, 147214863, 517846881, 557469333, 705789570, 983977196, 906031793, 615414840, 208665310, 665994138, 166290313, 770492812, 587575497, 856096171, 264023389, 620179413, 207522876, 907709904, 375005922, 104128842, 82975774, 124811182, 570750565, 260358335, 439367887, 899060034, 462396692, 477197115, 325902845, 795333818, 624307681, 809459085, 834097495, 768979319, 487622626, 902648985, 907877770, 608843222, 384953349, 300421778, 614268213, 563653071, 599946935, 352328657, 69706539, 112815841, 954522432, 171267047, 778253987, 678850347, 711712870, 963490133, 668004367, 565825914, 908233023, 161933692, 780093430, 410403042, 28676842, 443060720, 15654405, 797981880, 657989737, 264500421, 227477741, 278194421, 268619871, 391240962, 554883853, 398259327, 955276782, 77023455, 807043527, 348045056, 530579812, 956206885, 277944499, 459009114, 729758297, 54720464, 562765471, 887005134, 995119959, 635904012, 766614885, 74550887, 775927403, 355919579, 194565851, 793881314, 483814251, 821939531, 299968251, 96397305, 68367844, 36778963, 593055904, 575361304, 606073908, 216646301, 453644587, 712408878, 392318206, 50981118, 177052714, 657434125, 960675992, 847481327, 954944360, 346653587, 505365047, 732879667, 918375961, 740854295, 292598772, 428908485, 874597924, 626967042, 745127237, 923196868, 279939851, 908018437, 891117962, 9457006, 279962571, 121617314, 537158128, 746000627, 206195021, 297568541, 201952039, 964233700, 100030331, 983303194, 686878277, 384705376, 892102859, 631990587, 550767535, 536243148, 765761453, 542057054, 511529530, 861252225, 867880081, 690241597, 176630702, 121533156, 91551525, 466095630, 782198730, 491182019, 201842032, 729885951, 654740909, 635006939, 78937086, 319666468, 284013814, 189447754, 873284036, 645647297, 953162432, 769582145, 507482857, 397839417, 655285864, 44571021, 134977231, 329870814, 895435441, 943625697, 907812037, 243048152, 945751497, 806184324, 844674374, 600500313, 546949394, 337333299, 443243254, 13259500, 694782541, 654273724, 742602848, 581240864, 860995157, 33393512, 584606166, 371294819, 81472055, 271353026, 864024293, 791658761, 670830023, 745238340, 95603171, 139791326, 176245360, 308197955, 168479805, 33573126, 282387854, 5773279, 401902226, 536576121, 91296643, 70488132, 711630875, 505703933, 895318099, 861664820, 353371275, 973753725, 230530512, 631599588, 546183701, 679194142, 465575779, 200112264, 97997718, 920333062, 534207337, 733306045, 477572757, 185524323, 281403524, 728503414, 842742708, 118889571, 820422996, 859682059, 29060121, 442559572, 888773115, 909469310, 479629637, 740414019, 479315594, 128990933, 111596984, 79051459, 114805631, 213196446, 937716199, 754661403, 837441596, 383411396, 553541389, 95366387, 800489383, 56360624, 213546130, 364546796, 903795617, 854198358, 730577364, 615718556, 634878447, 911799848, 421772836, 288963920, 315600360, 236630537, 248321485, 857815513, 782330384, 225812404, 616463730, 666464852, 650983840, 56379411, 275302893, 547891617, 957230532, 404519336, 454329224, 859367103, 853098622, 219230306, 117117027, 368051407, 112091008, 672701203, 605479038, 670687296, 578141485, 45683294, 202405911, 834524469, 993575878, 536962551, 717730959, 543926600, 781563949, 163824685, 157458705, 846706589, 789086580, 550250943, 537380764, 581454505, 758331964, 688797485, 11543057, 51162869, 916678590, 490409915, 19612841, 456182322, 745003424, 35953862, 276883104, 257423427, 955836491, 819276005, 904024572, 378186331, 506952712, 65106136, 145015496, 536134437, 346157928, 524731574, 689623730, 954998003, 546593694, 79039056, 409754782, 213421330, 613314748, 25933167, 835472967, 1646365, 783481497, 598975102, 561393480, 378091033, 671047478, 457264909, 70212475, 622152907, 12732708, 346656640, 446946300, 806619391, 468225671, 542168892, 538696662, 300526318, 895280124, 916902533, 537842911, 983333846, 136622672, 24933862, 802469667, 69905931, 421700350, 835816807, 526502451, 269528634, 908138868, 105372984, 304469792, 597262227, 886492997, 469536119, 451209998, 343057163, 105093077, 557735336, 442058029, 897693743, 689215100, 963313567, 483462176, 518278936, 800410207, 13228855, 290540737, 146220506, 53905759, 818981368, 819539353, 948737548, 83332120, 464410520, 924051903, 767837073, 652796828, 302944747, 530953290, 542009593, 724996057, 890889249, 376452260, 822441448, 62236054, 443564856, 762021694, 888128620, 750785556, 615046021, 850651124, 684427967, 763045363, 409767145, 573716577, 16242486, 910907536, 682514732, 771662550, 382551027, 562185876, 561099510, 154473060, 956227622, 310881752, 24885738, 122724740, 705865887, 579444701, 350632134, 812647317, 109046085, 740326830, 641476421, 597608474, 572733277, 477175718, 49176658, 509912961, 64381912, 959912721, 488347562, 386208528, 231515089, 40376279, 241145272, 87997934, 932544449, 723485947, 484388170, 550696959, 374739313, 298557956, 856479869, 919892510, 610309496, 154978481, 445316117, 875339274, 374028593, 513139270, 85166735, 327758896, 472996630, 822842317, 365646201, 823264141, 883709398, 369599735, 735372989, 739143376, 807625713, 183512181, 271826617, 882449681, 503156378, 168640499, 165591767, 77824710, 295158483, 527180708, 805858786, 694526654, 592001157, 883072702, 390573122, 884634676, 340847402, 439862584, 254121992, 685836198, 446591464, 340154785, 98959457, 454035207, 102613333, 552120046, 198003336, 814577658, 365436522, 640562003, 117249241, 993818233, 870412405, 2282143, 147254648, 594791355, 328548056, 89111233, 920260078, 362907827, 265226889, 644929606, 390969639, 288767299, 915217856, 430961380, 945276360, 595497295, 942638564, 123248722, 739589557, 450516390, 866479818, 339626728, 558993589, 363608529, 839366024, 473939996, 293538212, 512822186, 656228361, 51898543, 66845216, 930625070, 723807565, 626250469, 33788579, 590071493, 239769018, 496623753, 588900196, 758019906, 628553545, 169943210, 854083597, 702508216, 649825579, 47710310, 420623734, 865222646, 34755128, 693550148, 239003571, 918254884, 210003819, 530595180, 678775264, 639460732, 940944330, 630570197, 733087774, 428101833, 71844828, 312722250, 665573923, 177173264, 481026137, 135562158, 116550547, 200927417, 997961521, 242026757, 951270566, 193464133, 797201026, 580980008, 946350988, 879659449, 63196024, 527046539, 990712408, 716520871, 891622739, 99827641, 320422, 816255759, 480469749, 628515100, 789663457, 140538673, 864967151, 736756204, 144233709, 239102183, 420918027, 195562331, 844239525, 67998405, 534747550, 243026788, 844902190, 706778400, 918729605, 512888025, 417920306, 362290991, 331739204, 981648114, 246335728, 147773591, 877180640, 327754867, 899266030, 639872255, 660366740, 75054143, 229171949, 17214651, 820663589, 306544354, 764802269, 438109478, 128396429, 223909258, 515199998, 504346286, 368932477, 235067399, 995766686, 640434261, 812307191, 148754014, 100822101, 499777226, 133598491, 335154260, 764540345, 574574946, 934351844, 441112801, 94074073, 698248824, 428913539, 739127693, 225142797, 662006326, 138881162, 396135311, 694608632, 346332638, 280483294, 394878560, 531886777, 241360672, 707094479, 397068974, 212655443, 988113671, 744961217, 871190317, 679211348, 373968552, 36437364, 725192369, 208073080, 951447821, 596434345, 41851886, 215450484, 7529701, 977243234, 211070765, 392620846, 158683689, 235353800, 204069917, 744834659, 986008113, 965070638, 949972036, 375428641, 34800993, 227721263, 696172084, 687277739, 117695665, 562933603, 688172945, 226035889, 674509272, 212740824, 413651329, 638506580, 916752809, 343785640, 107684402, 538791351, 967986475, 32029322, 57964298, 520258549, 573049828, 33769934, 72359330, 610883651, 758730345, 880239839, 651639765, 498452124, 545198207, 515965087, 29044934, 888505474, 370002530, 663103197, 456079650, 10114849, 1230956, 691740715, 16371824, 128566645, 372741257, 840108845, 623196700, 935501956, 399540057, 108190420, 47506429, 918824986, 905941637, 723385873, 279224471, 763552502, 307288794, 165732605, 525152639, 122121504, 350449014, 267668893, 913316992, 985893468, 74460985, 128069743, 639707735, 306044134, 117051413, 399139638, 721213237, 775858993, 924155671, 565387108, 174666874, 802716534, 196179737, 949203619, 236448417, 633551621, 659021787, 966179447, 675559866, 145145376, 765979016, 672404352, 871845773, 508803703, 633093970, 188144917, 554513289, 809026801, 586683293, 554576994, 768495736, 164096027, 576167186, 96539800, 134106467, 207202361, 458923633, 315490763, 156729882, 277297948, 782044030, 398475314, 983622482, 808479778, 756395371, 581429421, 477390208, 895770603, 603064840, 761213791, 208097644, 521456340, 674183376, 376963439, 26879528, 872688136, 906960320, 935336940, 93954497, 683597379, 139202780, 376388069, 68348299, 331323606, 493373994, 532553878, 280935067, 180508704, 893046296, 864220488, 418579698, 323254110, 565203037, 749159191, 925441298, 36351469, 859500533, 499027018, 930626787, 548222194, 863636918, 698743279, 252848134, 741857389, 107139244, 797742196, 962890625, 712467654, 771971417, 361267511, 418667603, 33151542, 661958709, 987168804, 199716945, 822814867, 847654879, 472516781, 370134415, 341672960, 643113914, 763391559, 827670926, 693402939, 342102894, 190682981, 830696690, 67772051, 89586108, 929978994, 64224599, 686485618, 123665810, 366908934, 401933522, 134750897, 942160784, 636383959, 522110042, 33282928, 168925512, 550111026, 525756927, 616179447, 771691906, 551466930, 372571206, 124792243, 697946290, 962915433, 752389788, 627754902, 481878115, 799653211, 341180752, 226964223, 511451791, 906604785, 657575207, 989915472, 598018166, 432854237, 59090613, 583209615, 438108042, 921428921, 348232111, 48787627, 604412040, 967226912, 810281039, 544434213, 903290324, 287509705, 783986962, 789976497, 441181864, 659781267, 878361662, 820093335, 808801763, 426539298, 435184059, 12226377, 676676217, 849140987, 724963631, 496209489, 8325207, 466404251, 574380929, 752754067, 312224012, 285903765, 174841468, 746056271, 539635064, 212800852, 786335636, 347397682, 387785792, 658226722, 245734428, 278687424, 889165245, 944451964, 75934319, 266079533, 240891135, 85416194, 277796425, 366997447, 508581532, 930329759, 49331561, 149647163, 39373778, 141609852, 144560473, 560215924, 237829388, 173820854, 795519705, 388009395, 250622078, 888390110, 551509238, 109554083, 723709286, 907051275, 294195647, 397397743, 564504330, 193830488, 196425724, 991545401, 91749100, 599249205, 717915375, 845104619, 622991295, 51074084, 101475535, 670207001, 12448108, 681269774, 151619883, 923053854, 639432028, 470095265, 574019403, 377633861, 186462382, 646110058, 437944495, 177604296, 797866069, 379669388, 526101627, 742336150, 63092175, 155469945, 19174041, 173015852, 568849173, 103486721, 574891816, 250045036, 546850377, 727806215, 583013326, 549999877, 454689926, 860098791, 318790173, 942747679, 881932356, 514445243, 169371246, 350929779, 939560757, 261853115, 865950642, 787133091, 537537210, 982852945, 581752928, 100262439, 508808777, 734314104, 526309812, 912050137, 218770320, 676610204, 662480723, 850983427, 889476384, 615169657, 346829421, 10175472, 887861029, 961658978, 258016791, 734028276, 359430923, 335493480, 523736938, 967757691, 258964030, 48962224, 282491898, 137444961, 67422077, 155764079, 405947510, 160957298, 986248126, 139166970, 612301449, 475282361, 693674473, 639696443, 89847926, 657534925, 283689333, 452011972, 447978195, 224726879, 327522442, 196268760, 50705101, 458071437, 125636823, 474740824, 836779619, 275146272, 262097736, 397330671, 438349278, 854116894, 754885020, 20972617, 906381922, 556988836, 69246340, 750931437, 230803960, 874582026, 452961059, 514841468, 478651030, 502749599, 331392841, 676179085, 955783494, 263347970, 523891783, 702796169, 394927073, 318939704, 341205353, 752761330, 240564481, 731874628, 900448853, 773469961, 3084504, 169731473, 814502764, 272511570, 498598738, 220918974, 919129517, 949987460, 974341707, 193801190, 232042183, 669504788, 970336096, 770217174, 230112784, 462331927, 32610244, 968808852, 471086245, 473923514, 485368507, 17362174, 762758088, 809504638, 901079008, 406197455, 878415548, 853008590, 130112796, 322316748, 301061661, 478813290, 613847385, 206025968, 146928245, 992133837, 405576087, 401351861, 376252801, 730339055, 863088594, 197048727, 516420441, 525435387, 359543704, 23831317, 510063841, 167318910, 151799833, 623836293, 456559158, 295036904, 521029492, 276407420, 816170515, 72692762, 499681414, 439487526, 363737936, 706893350, 243725415, 369291299, 389251100, 774452866, 855155600, 460149714, 933832611, 210186237, 507839328, 132509535, 146364591, 326259758, 279487861, 588784007, 870238555, 6871473, 376439119, 19333574, 164675758, 276015700, 671065884, 595317232, 917440768, 498753185, 874598108, 473458834, 678621186, 898421600, 340202317, 557378795, 293201942, 118907454, 954343315, 391506043, 336805137, 332222605, 563485190, 223571042, 495930910, 899911996, 733296626, 167927514, 553795602, 994546198, 773691315, 928041898, 39688888, 850636319, 722022188, 812938367, 152730768, 529003251, 277670665, 271145036, 237231940, 313876342, 346536357, 860978673, 988042129, 512656679, 435696133, 28601086, 271873979, 896683795, 278083274, 748844812, 799457661, 349216713, 80371511, 11450357, 147283588, 249722693, 234482109, 187520236, 535315470, 77686736, 273104279, 187635600, 869885835, 382883006, 652471052, 348241787, 649403534, 855287122, 696701927, 881420789, 610741191, 383456178, 450525592, 945872729, 76495630, 147041429, 419275208, 915871800, 677534717, 90324698, 912862622, 942382519, 965402926, 709557982, 635939533, 522989948, 710529737, 36719634, 326490283, 394753549, 572235170, 918536872, 142590965, 656075536, 642331747, 275856025, 923155034, 926358143, 128126498, 528267812, 728159353, 703969841, 319648609, 530257436, 512325754, 950070584, 182131103, 288846625, 132804988, 396085702, 198175598, 318849815, 295036951, 186966742, 467653437, 924076961, 211148945, 780934710, 351351432, 240881848, 173384085, 722565007, 984634779, 750387064, 599494951, 432531563, 585068781, 28871339, 241046897, 327900897, 12247691, 23813751, 917131240, 491323108, 33763780, 378049595, 561652757, 743273597, 203357598, 10093880, 797780147, 37919061, 197182606, 889549114, 322152281, 355868054, 869251941, 830999567, 237269681, 949676043, 204672167, 501001272, 564194428, 954105130, 716230425, 437943494, 807878394, 681918306, 372059981, 26635778, 871140949, 682119215, 655111198, 896766262, 223017060, 483851617, 882729622, 449438850, 209078136, 223698833, 797351119, 943450085, 660300108, 195929723, 337650360, 103431817, 650185574, 873215570, 901561, 180269663, 101265262, 463726481, 922501997, 473603907, 680552591, 877641564, 684965996, 377458468, 440471720, 984476606, 955870604, 756802941, 340368249, 223963841, 651054392, 994210546, 554179954, 234983402, 617744133, 494160397, 335217882, 328731621, 335620825, 900541336, 754304869, 460084825, 782846447, 781181348, 913354721, 414339241, 577868722, 868970432, 286227852, 133221445, 3559841, 844327829, 502321556, 960255340, 359349618, 544595545, 560778758, 237177696, 994712134, 495930003, 791210102, 975091647, 231953671, 883540346, 366773729, 706251568, 591739732, 200637803, 153067217, 723491663, 494064032, 820802705, 258359209, 200358169, 338687431, 307469646, 464877405, 177910444, 575749366, 640580689, 190991751, 14683228, 314100133, 410455204, 415553343, 964613586, 634237752, 605057370, 428739706, 360552801, 760556575, 686102542, 992861121, 602074738, 5709910, 735003101, 203403810, 738494376, 411796598, 788271953, 953628577, 893073130, 200801575, 123543805, 372835656, 929385688, 221971916, 404220073, 118082508, 8969653, 899950307, 132608856, 139354167, 363469787, 396066056, 143654194, 649231384, 892145741, 746529597, 123452388, 902121851, 822471220, 156284957, 218599996, 753911234, 4395684, 350863143, 853626483, 37531701, 893316450, 6980520, 69772638, 760636498, 662302623, 320620668, 377782217, 124567135, 869257916, 166856231, 658229899, 327132662, 105110269, 403647970, 817527109, 850175818, 352705952, 910509593, 761567403, 200960635, 876112537, 808609736, 293706415, 317955241, 276588039, 925570755, 345777668, 385005827, 809353637, 170178613, 496768710, 181985233, 315318387, 440208469, 936308569, 57583115, 20618925, 286209645, 890862016, 651966032, 341042140, 964664140, 29616439, 958918109, 49485705, 640544536, 91699968, 662805271, 71048922, 408185415, 891584267, 424421700, 929399251, 707902318, 594316014, 360480411, 496363200, 488455501, 970541246, 387018072, 729502464, 200183080, 878948850, 916680114, 662996141, 208307530, 364748362, 935812413, 133160846, 940563662, 310855802, 632492126, 154716647, 33596857, 744202470, 256999061, 756872550, 971246277, 93976455, 221329065, 290989946, 579204201, 497279546, 945477337, 638652052, 93619016, 481315889, 671437185, 345593739, 632810701, 288317494, 394016544, 2684089, 187665070, 56229132, 918267759, 208544814, 965508393, 72475716, 285800850, 900058927, 964734527, 405866963, 452204718, 990015662, 325669650, 867781006, 998926494, 517865061, 439758271, 975695557, 775306986, 641909567, 696757002, 11378786, 579776699, 406190883, 563015184, 459421516, 187157818, 710135030, 773739178, 419278729, 890374827, 623327864, 190341956, 407258148, 159527729, 430923261, 842629533, 897506555, 236258058, 563992629, 435967022, 350512722, 272051307, 628193606, 228504053, 398608995, 416866242, 804525809, 499084891, 7908875, 484248874, 101759945, 853848738, 834253099, 309142804, 976047413, 730724304, 356373280, 125999636, 586586877, 63220682, 865422487, 654824852, 520026057, 813143195, 55971195, 395310788, 62513204, 887830365, 81640209, 308275328, 504641661, 366937017, 856349932, 218356630, 80571094, 648800083, 786893486, 447259175, 724360928, 20443411, 510430168, 262237899, 246786391, 221418350, 254478843, 337249062, 94706717, 457085804, 550661231, 478762714, 646173108, 812818603, 471547338, 95145840, 667381656, 662568098, 757106818, 466167276, 549403309, 639847164, 865332068, 880902900, 211667403, 328460179, 276865579, 111515760, 970431794, 199415213, 305524276, 10796812, 53962766, 315568277, 746510794, 67093862, 484016721, 430784087, 338900103, 377096180, 597096624, 69128589, 716902117, 362214180, 192933894, 519667534, 776377767, 359033150, 777054348, 800962659, 564315218, 235767424, 988895548, 874198576, 971175702, 272577654, 257171005, 503145301, 943417365, 97341019, 194850163, 37697402, 336156213, 99905577, 31586699, 97873377, 95425991, 365334477, 873112258, 986914418, 629984151, 950857386, 264107472, 444392057, 713862392, 199445772, 773386823, 686471340, 653485585, 358709576, 30329780, 631204920, 831415355, 180830404, 652169807, 895778407, 744735601, 530951869, 625253984, 197941560, 332041981, 388597197, 394380769, 348151309, 46126096, 970088141, 247767842, 394953774, 583319765, 799398853, 296042244, 60817222, 153988770, 99882215, 757020869, 690923729, 434444578, 638614352, 48968908, 148503327, 346453101, 59545608, 198217339, 2111613, 179134867, 231415702, 923236313, 780225101, 690367714, 360675066, 161451115, 647611033, 292714863, 120984596, 205840350, 851816937, 823694137, 199304189, 329828839, 743636565, 697885987, 109257996, 864899676, 563718601, 408318781, 15702437, 813814795, 253925202, 258730713, 272658650, 948800413, 855983021, 879202152, 516215667, 657615301, 600292149, 748230114, 974846888, 244370897, 222245287, 491619152, 802565880, 799899533, 652678405, 403880734, 666626244, 844271458, 196779942, 217535716, 195928799, 448183342, 435143720, 193784454, 952215119, 228281294, 239634377, 509417572, 697232623, 327642850, 398711545, 374612687, 649791496, 126968874, 898760200, 103174691, 199428996, 833225965, 488762612, 600991116, 66984308, 711872644, 614342625, 317891904, 567857834, 643634353, 168358534, 95423274, 675599450, 76203872, 169470366, 692617011, 818729485, 84863162, 975497351, 136876859, 951817379, 666347568, 379341062, 394269910, 896046145, 286649062, 514749592, 221200329, 534413225, 541475039, 376383915, 677267436, 352685758, 27114154, 125255734, 234012043, 657053715, 857726298, 141430769, 547429248, 394230879, 453095759, 883148772, 394464412, 783143215, 536369570, 499010265, 351384809, 143851716, 961922902, 164564944, 380225974, 13927014, 130863054, 940236666, 452460023, 656426353, 538726256, 823944972, 975334874, 482120758, 448529509, 285654538, 77368476, 354113728, 565344598, 980218064, 949305017, 799248860, 275977262, 357038655, 275594232, 844870009, 70316529, 700544279, 649656981, 30566796, 218945512, 591642401, 384779112, 986340585, 904317397, 449199680, 326764768, 28295960, 18687880, 395588489, 204603301, 565837237, 47044178, 815977777, 470538900, 62865242, 11285158, 599010878, 178176676, 988500331, 112138860, 428100508, 999263666, 250135920, 859132051, 740924632, 478357802, 632275507, 94100885, 701802098, 157125951, 121865638, 291677535, 774005337, 517016321, 407086779, 956872590, 653170921, 946551418, 769247390, 7601513, 678737394, 146095366, 516041045, 156981291, 284869639, 772072193, 617988144, 17977168, 756386060, 715855822, 680448852, 404424520, 453690261, 536075808, 494121306, 771593660, 932670678, 561731510, 410414541, 243111190, 380345716, 481316186, 306280998, 955613745, 539597092, 729236395, 685118116, 999900263, 304049140, 749364982, 819775452, 95637006, 97588146, 973155547, 909821488, 583805501, 383554102, 3476532, 997429234, 395656307, 412444801, 773379846, 869023532, 974126247, 851489904, 220784315, 578502085, 680252276, 453433623, 302648926, 683791853, 992061640, 831902357, 68478182, 128638502, 416682263, 908872477, 26317165, 228583607, 721094204, 549518889, 496153249, 998337047, 731508363, 593096933, 16826479, 996455880, 326040482, 685807611, 66124801, 804459434, 182462857, 67557405, 681034984, 640393212, 696684415, 821359477, 505046006, 58775578, 307770096, 752499660, 820497891, 72564925, 331580702, 626682928, 102943046, 687914428, 771976779, 14381387, 700526973, 298382503, 665739561, 951371644, 584147618, 519514425, 397287854, 150504079, 429017327, 550833497, 16257117, 852781514, 370152649, 136780506, 463550098, 287339788, 168504688, 128284781, 290363756, 258433917, 243086372, 921499580, 965114965, 762952507, 616287461, 369850859, 186683564, 105096028, 107987617, 840252679, 316672029, 238846883, 218205842, 811785991, 249157020, 997859095, 549163546, 835591008, 404995179, 566513065, 441760534, 136630135, 203332319, 565543864, 886636509, 960738521, 293742507, 765785150, 307411496, 686990785, 426668685, 537450880, 958364493, 869356216, 199613330, 818278301, 80912993, 813099894, 751400263, 883043472, 980328226, 676141026, 252680776, 363464083, 603978277, 922352863, 378444823, 167754199, 612550973, 573125742, 885630493, 158916773, 832998220, 811370455, 492715233, 964276412, 414167042, 410262095, 742764815, 316656246, 185277190, 497965903, 198747333, 929057251, 128595177, 747216745, 75185247, 17991255, 456757236, 325938600, 759115741, 866490843, 523493457, 644121724, 353402828, 803599932, 432016032, 87650965, 750177719, 596344606, 515348319, 576037649, 36575015, 891076206, 443090227, 311555463, 563097239, 201201862, 19915210, 197126047, 876132967, 375722834, 674518728, 36833123, 128343321, 610073745, 613475254, 473159679, 595363563, 566974359, 280563017, 209320496, 958684408, 661509945, 627710215, 107850182, 959637394, 631934638, 140135108, 918716482, 815223540, 778524397, 162265314, 739211967, 708381537, 64978508, 231130882, 353187023, 552712332, 421768691, 753927055, 928393480, 144051213, 101436411, 923874028, 679387602, 731106721, 59036250, 651701385, 75956938, 122331053, 577210916, 730294310, 479869706, 614499100, 223697546, 750990127, 442605518, 603406270, 509093818, 659443266, 127912665, 288370849, 298776220, 22917408, 624557624, 167355019, 826817509, 152585720, 531743955, 352120846, 900930421, 641222739, 562936849, 110456648, 128892316, 178619682, 590549527, 463955469, 425339725, 138545705, 553990656, 941450093, 225341252, 908703385, 894680134, 202479269, 718378828, 968657244, 916962207, 360808500, 581004815, 164290529, 388924378, 797835151, 207489061, 179067132, 113049599, 175929109, 769452790, 715049140, 581362025, 467537986, 841338858, 475102365, 666987836, 846685501, 957633472, 429837032, 868914894, 898954929, 140329368, 854770883, 359328377, 329197511, 77190726, 386540761, 61747241, 386414653, 543056521, 215071618, 710372319, 660823707, 924048963, 526217166, 145668579, 845269113, 198643144, 36313107, 794661827, 72002673, 78784862, 49406796, 443067454, 90545449, 213390135, 688036866, 149023615, 775892849, 954196635, 633220424, 840164875, 285791832, 343947462, 432975411, 125535048, 187766324, 366827312, 981829916, 686088914, 816691836, 847877530, 541565109, 443255529, 145854383, 770376840, 955040752, 833200146, 388880112, 796592472, 635361003, 169086291, 199230933, 411517043, 902813132, 381925417, 753631470, 95065849, 376552251, 566234891, 757207489, 108282609, 197220604, 156944614, 525144477, 911499830, 758282013, 636369688, 41793616, 846177916, 476676339, 773860245, 111370900, 525186000, 597412929, 430069519, 448210023, 819714405, 249920831, 929468050, 7883370, 793097820, 465914513, 236725096, 728709146, 351144633, 187348293, 485269670, 103065161, 859441895, 503670112, 478588610, 902441825, 664088782, 457493671, 566173392, 72771833, 24950574, 236677637, 746403132, 89514671, 799814537, 346026221, 294357516, 243378069, 834909301, 931105012, 181589080, 964914276, 809461643, 126398601, 246257896, 475948446, 268042789, 384578621, 231750172, 980459362, 534667724, 54995671, 662642039, 674408372, 981677841, 281974352, 187477744, 688072457, 388904634, 10615180, 445577085, 257093576, 100146795, 307698350, 487241862, 150814935, 878486034, 672361623, 471363005, 63196505, 462636986, 838603787, 890509439, 541243138, 5418093, 447277640, 152056240, 750074071, 748798102, 848676451, 175220187, 623565273, 731562734, 594011748, 14613092, 802667770, 870902794, 663011518, 693075356, 635019790, 949915511, 948166876, 162383430, 534165084, 905657694, 372920162, 313752881, 884460071, 110891399, 48183338, 513145401, 61344807, 281610686, 231024092, 361121443, 97502696, 444101001, 656696163, 961336942, 894102596, 937606624, 848909847, 108262245, 518683417, 773278519, 803338819, 368560249, 917151059, 86913188, 277009462, 366394324, 792664371, 832225137, 931927773, 89959328, 629643131, 244339385, 762104955, 230438783, 853802266, 813612646, 801346459, 334773905, 500291012, 800020000, 713689156, 47516179, 154680905, 51796706, 865612821, 324322253, 857175006, 352201490, 792172719, 109942428, 645786811, 985718823, 762296307, 300829949, 433821620, 261873828, 467878378, 576831372, 3741803, 607988906, 389142562, 38006933, 576854256, 442012465, 710555532, 819021591, 492765852, 776975923, 739131577, 412128575, 963773552, 823234329, 240820233, 987093623, 426974220, 124908151, 205666419, 563124912, 864146282, 128770356, 733853593, 977286840, 61770222, 660254401, 290807349, 366733884, 912848128, 143448859, 950462745, 904578284, 858275927, 558105820, 226139507, 369737749, 776330210, 753858873, 977524726, 858320892, 825085437, 884821992, 74881360, 314623715, 533698463, 229249292, 925118387, 400298977, 688097450, 336982129, 904128892, 904543589, 194717749, 891410237, 75647801, 26176917, 748224154, 520158404, 620223105, 140669681, 698896058, 741666875, 598802022, 401794095, 872434527, 827666, 123047174, 346113366, 886280828, 97219402, 694793891, 177967118, 258129911, 159091689, 712238728, 918400855, 514117056, 694326131, 570614232, 167509519, 94646414, 402631068, 123092153, 487963842, 45666383, 617391014, 655785946, 21894444, 798074558, 793891328, 872082901, 987293260, 806520426, 910267068, 387725368, 91500798, 84987168, 133465092, 106667126, 98971270, 83016183, 565696517, 495400084, 473846713, 707286794, 901857477, 296104704, 115512704, 125632882, 947885136, 318393543, 717387350, 188752311, 16597375, 999707709, 991035931, 205952423, 809328496, 227945042, 950622104, 228506651, 915939097, 154813956, 723848140, 398002546, 810343884, 567214624, 966148508, 44424230, 41320551, 396853125, 405655315, 539941311, 713713608, 550144480, 313539162, 530358945, 634007306, 310902549, 513946029, 996734270, 18258783, 695161736, 229532516, 500659459, 808735771, 218672801, 986524218, 358642710, 962462017, 635699077, 159504878, 996734648, 542465076, 963258008, 638407540, 664091282, 373427303, 881860103, 975996688, 885806540, 722329594, 324854828, 255461627, 422357885, 882940023, 309003263, 585059504, 492566623, 861837440, 21306595, 803861330, 71836216, 455276657, 31497591, 856406370, 811665913, 269219192, 629021615, 986171277, 21199970, 158084493, 205787422, 359940157, 855477157, 469671847, 144922723, 765989004, 174884902, 668351476, 986489329, 938469469, 586459529, 550569470, 246442132, 725474290, 160311824, 730878590, 94269599, 445647542, 886494621, 923496734, 703034493, 843729283, 609622772, 815075813, 671582917, 241266722, 361206893, 37230979, 741992429, 498941236, 875543224, 341469609, 797445646, 820351805, 18648391, 523610190, 942577664, 272468680, 213515734, 293767787, 569633839, 183014214, 947353868, 148636272, 338673779, 347952784, 992494763, 514534244, 631915974, 508029088, 956900411, 347339628, 751333800, 218969697, 4524734, 188425992, 264244673, 626838124, 362937276, 437431772, 708107779, 465494802, 547359416, 330587972, 48177900, 530873603, 755550985, 367179621, 62704524, 656226839, 368362571, 154304899, 511787239, 527829580, 411322490, 42329848, 537307188, 595913015, 615460255, 985720108, 309084845, 573056073, 105596506, 343282402, 529653803, 320273626, 279663090, 848107195, 239100461, 938638683, 731225176, 678266555, 428131676, 105346141, 143519612, 670331253, 74892075, 286019741, 951655653, 456592110, 335688181, 949844091, 8269580, 110725314, 97931729, 788076237, 608957166, 694668387, 190499033, 609260102, 691473652, 351690438, 687835638, 901928667, 974487478, 416040660, 5427384, 645534912, 98000664, 952111488, 593653677, 153504530, 998654572, 832183438, 714550604, 350169353, 887891959, 531966002, 960104929, 619203691, 369786335, 341328640, 208017715, 416596122, 880233714, 155402055, 752941938, 149996609, 736810490, 762744924, 310357908, 833752017, 319087892, 188508175, 899907862, 496906921, 805983152, 31741161, 505838153, 861629764, 503421391, 511160822, 584928733, 874620009, 312497073, 915290533, 257291992, 185848566, 347026771, 661184333, 265134961, 584981491, 485099171, 528433337, 94491781, 250490934, 298653820, 857120154, 907277466, 341399480, 129194815, 293203131, 431960142, 966237773, 301396890, 856338688, 116492543, 12430031, 22808747, 310428991, 202838390, 666279295, 751817037, 448319007, 501845705, 489733300, 551562710, 185820249, 914105738, 39851981, 379589722, 56875165, 981233063, 314754824, 508014413, 745212386, 657375062, 419665, 508783753, 988323960, 471414494, 966849060, 460693588, 444040385, 562092294, 243531410, 710041749, 451268355, 467058681, 289853258, 535277494, 900470353, 973501120, 69098664, 8127649, 484916501, 101088655, 418568020, 584713224, 593273335, 614459196, 680618615, 534553909, 688781836, 299951847, 691390075, 723263808, 154167238, 864512787, 743354110, 567750116, 262345348, 126661557, 418351999, 28529531, 684260482, 183420305, 23856276, 833303558, 906335712, 70731824, 393820115, 483820421, 770334925, 540329791, 376966774, 338582704, 58773395, 954479833, 319299361, 131772965, 93015980, 741941683, 904592935, 274601848, 798842046, 430763329, 28441783, 96211403, 918834219, 808692629, 645897861, 920654590, 680000669, 958987024, 208899228, 675266579, 931789662, 217781253, 511629689, 909438733, 778010357, 281543585, 996126666, 937979199, 689912384, 47225492, 997687159, 185946204, 609847778, 228493713, 657728575, 302849916, 362859208, 225895567, 940383938, 654732754, 470498391, 986998546, 896576201, 681727949, 175595719, 117436496, 441285832, 225245142, 159994574, 680070740, 34495583, 397666979, 295569857, 474820580, 732945277, 844343121, 218338911, 336813783, 276339140, 632344425, 88288988, 993871965, 381200673, 923625459, 156349142, 957999232, 350991453, 133307887, 484122927, 152498388, 914608996, 474952065, 431699899, 407539239, 375152953, 333557375, 137764137, 857072022, 602727984, 150099467, 779189692, 685675802, 447007829, 577659643, 545478125, 681770104, 247543368, 103482410, 475101309, 844694689, 252664481, 736396207, 723180470, 986912227, 89091391, 700870217, 14805349, 303812349, 944914112, 604766683, 816221230, 581408510, 374436471, 691054992, 527059170, 48758421, 327390156, 760447124, 874371438, 168991479, 936056771, 612435976, 176964718, 211348682, 258628623, 982809811, 345026788, 802414958, 184223985, 377660735, 417996664, 749264138, 212889682, 283907468, 781482414, 882893240, 956084162, 646397275, 881385824, 221670946, 686290619, 219332938, 616126005, 251975416, 457306012, 506102857, 242885264, 284214614, 627769064, 230693506, 21319166, 684930291, 976953267, 492797496, 793551474, 358127325, 103791251, 287222229, 651488472, 947349571, 253053425, 119161217, 543917246, 584297716, 144498180, 193430150, 902826262, 642330345, 711448756, 609612005, 688074427, 374390183, 855110380, 93535335, 70612888, 501142405, 532151590, 367703865, 246165953, 856179679, 294109842, 471455853, 822550416, 394906595, 743543765, 38106170, 162675666, 784039368, 650670158, 406001896, 154578659, 582684240, 704624951, 112883046, 997288652, 279812013, 825891822, 809747393, 242971212, 978281970, 162283308, 737714988, 674497177, 310472730, 896676095, 7014847, 84288054, 242712482, 289575458, 809263598, 856858864, 529960910, 49800761, 430849902, 338619728, 412162393, 674279558, 228829704, 493598293, 72408916, 618719366, 500864299, 651135284, 422713954, 842431228, 484659457, 797099814, 276056919, 121083174, 26261956, 310824857, 625839443, 322904738, 246308821, 745061655, 70333486, 86747571, 949597652, 802571351, 521347897, 513292585, 823793860, 595588217, 601404706, 763544760, 75517740, 35171890, 442417424, 550190239, 88139565, 508089107, 135246017, 8669901, 154816022, 965208461, 843930617, 38240959, 976655499, 107604343, 363576848, 370450938, 46296990, 263039039, 873866788, 649841250, 303172124, 933283070, 401538634, 728577577, 370581325, 438223102, 585688888, 882584477, 219307550, 595553855, 156729914, 386563509, 812112954, 294769598, 222055607, 908649422, 531667197, 380928491, 413871009, 828003922, 685588394, 277949631, 741088474, 700026515, 379288058, 62753302, 291661447, 487637545, 500450573, 808861577, 950787047, 167466493, 454939006, 529040611, 36437670, 237877932, 597303436, 253171749, 271506145, 9462921, 99214672, 533281904, 991514583, 455006025, 375286368, 557187405, 76740385, 431599489, 526337206, 244060653, 904162986, 310593933, 869812043, 583712192, 942814157, 763344151, 771083384, 920495054, 934546350, 447530953, 876483509, 813661041, 4322520, 45295225, 186298891, 682021284, 179949076, 118305553, 363009517, 159856008, 167351084, 756518514, 951064217, 897559130, 95406662, 801960729, 994421723, 240705608, 115273383, 746856118, 248240600, 839038610, 931846789, 253231287, 128720813, 263250487, 544343094, 315256787, 570496601, 730063806, 227803308, 182068972, 419708845, 901868692, 493705064, 739836789, 375243407, 148658385, 68639694, 304712096, 17281405, 519374683, 890805010, 35849691, 567544666, 78821061, 52994419, 115766810, 993050807, 51351414, 599945846, 341297247, 345535360, 418544574, 895369467, 308666287, 383319598, 794627223, 875970425, 651247049, 18595899, 474247629, 892656054, 40761243, 529697181, 325772547, 80325121, 18409740, 240171036, 766037219, 772740007, 364868837, 182965165, 384302698, 561388080, 265511311, 898161321, 246291103, 754354636, 379973430, 329613305, 818589453, 236720955, 23553091, 9932253, 378252552, 254912861, 579450974, 780684963, 907539454, 501097386, 845921484, 532139572, 170628203, 714796676, 705109182, 281893189, 548687121, 461660068, 65737470, 377239209, 980536221, 618531872, 695127763, 691766223, 884060013, 255549143, 406203411, 249753022, 40920662, 855103417, 18953347, 200818061, 847457867, 958835881, 754560685, 936657253, 616015628, 526060227, 915387399, 239983539, 318330396, 373679982, 9444841, 460737962, 779512252, 485142341, 255348988, 732680329, 30973579, 551367238, 533322903, 110482007, 350598013, 626922855, 484885412, 412361243, 367080323, 314044747, 952309294, 467865531, 514165196, 772207120, 955467035, 276276402, 872408959, 721317036, 804319148, 454722900, 674706632, 668470409, 526353728, 827215660, 954324353, 703228518, 221117986, 461162999, 926663717, 706946012, 464108493, 578531316, 428472899, 242422497, 315155060, 928812189, 640640276, 47645752, 978579306, 419832680, 99929831, 824138784, 690279631, 234513328, 249380918, 519360121, 657310192, 532907584, 536914837, 778734322, 760762060, 481241166, 811321578, 185611578, 554963751, 513017647, 786776222, 333400141, 767642860, 934303279, 570232287, 408538582, 145216419, 486247977, 330840061, 569989828, 424057, 692401837, 159877397, 562959494, 270120103, 587437844, 440659102, 205863936, 118740550, 710761476, 957217951, 531377337, 681242760, 985913128, 888584122, 931988877, 566039769, 807380073, 64366178, 83248670, 156862502, 493045996, 298161406, 806340857, 46848173, 861646606, 178129798, 741790981, 114395896, 754880599, 842698824, 409820963, 87907167, 610057743, 135801220, 333665406, 33473000, 631451773, 752932483, 790736056, 757349968, 652166184, 146817114, 158321695, 598066579, 196701356, 982264735, 599202081, 909898156, 813594639, 775235249, 34841629, 424259706, 960353604, 760953256, 242449360, 741085064, 158680777, 842737124, 403283210, 126505414, 122506227, 76093783, 559832666, 865171127, 72605369, 786799391, 162364900, 199360419, 659513050, 342036383, 173925043, 36196354, 651461436, 701522084, 852487301, 297603991, 183477447, 938205146, 72168195, 177416866, 551844881, 139171404, 669801849, 655742386, 201229147, 406276652, 791976016, 520428621, 160607335, 163773414, 362314275, 208623764, 715113825, 874858116, 145702456, 862941546, 517438344, 926624109, 281439624, 434708480, 85739815, 983307157, 896190340, 45538313, 1112283, 950417477, 399621420, 43017426, 318124950, 473264489, 294139005, 71955413, 721961085, 807882748, 804101990, 778615669, 737868279, 962721449, 915666144, 637163029, 348939732, 626537220, 185217384, 526371273, 243982703, 428722948, 621680292, 157006153, 388187046, 748100406, 289201400, 445979358, 849864270, 542913999, 719550391, 274936038, 987972446, 120241828, 360547065, 677699961, 284434244, 154679809, 278159965, 910877490, 483419828, 423110961, 963586421, 470228642, 321591509, 208365460, 441155137, 917845819, 862802388, 536636759, 7551770, 33951591, 308995971, 583693854, 446791978, 251257935, 202245619, 887805673, 975942625, 435554413, 719521468, 242628865, 778151157, 122435315, 442096814, 251712495, 9530670, 80415506, 353140795, 257723090, 593831007, 704597499, 56261553, 940260192, 927729137, 16366877, 461846148, 317039188, 244313787, 667996239, 562378934, 231415353, 818822583, 583153471, 149684859, 810348054, 824825037, 44359382, 491355565, 470575784, 227565090, 229355790, 961912974, 983862211, 738749786, 38627710, 404353964, 352192861, 409204281, 844056339, 897316985, 268188697, 269423565, 193463230, 323422523, 296754900, 357941336, 675414827, 128426050, 226698094, 299356455, 669140252, 274377839, 74070800, 458498010, 153108571, 432900129, 730400920, 159087248, 238215822, 234803160, 35033238, 905989403, 974459499, 621098963, 926127705, 214507535, 771929957, 948186250, 283336522, 252122627, 320234647, 71608032, 133946123, 443917029, 33769953, 968093437, 215210889, 159255697, 814967151, 184130555, 220011713, 536171265, 328411621, 616356417, 56667039, 583897930, 717435641, 95740772, 808460829, 88171114, 685347574, 514506689, 988092848, 479986810, 40536411, 849668630, 939343183, 895169473, 532158639, 355038138, 466417320, 106557820, 942660427, 458454605, 209798628, 726455887, 355860083, 121802461, 60192827, 703491165, 655844672, 188194921, 305620615, 646465031, 740582378, 914455503, 24824306, 52469972, 142000487, 305845048, 534649247, 829911126, 101051375, 921899676, 410876562, 818114745, 735180172, 876696325, 187728751, 104805607, 843756101, 164481807, 929522104, 914883040, 517628466, 414437627, 374101556, 205065143, 822114862, 73106046, 789590032, 930071565, 948515562, 764742223, 445590247, 881254618, 405741805, 673496269, 912001339, 934004146, 767933137, 327828000, 434731625, 823479643, 688660420, 738084020, 774633477, 164325947, 246433467, 333603668, 936232837, 876267833, 798595808, 936968425, 902061235, 954873129, 597732305, 806409226, 94671672, 837211208, 728209283, 955334309, 920178977, 744558705, 534014270, 998130972, 435147928, 193930914, 322153093, 740942865, 705922779, 381777014, 950670937, 744583549, 251579496, 549364646, 317598139, 71417875, 856287515, 643939251, 280563986, 151384423, 823878938, 178042031, 614105112, 185815204, 30889561, 214602558, 703479549, 827119949, 462598351, 264362965, 18710098, 311756894, 887293002, 850997785, 956368221, 624194679, 115383106, 987794536, 956596708, 81360378, 584582246, 403541567, 534419263, 558113207, 126549395, 859073546, 576185303, 648116925, 562317695, 975981229, 901737647, 235125303, 779675974, 785625036, 135729012, 529464219, 186307351, 342264233, 847775556, 775832855, 83637432, 459198402, 603625459, 258971535, 630761552, 970187734, 527321746, 365494020, 733918007, 308258117, 734009071, 778429431, 12014057, 186514062, 725583125, 394943884, 217867877, 474452676, 263469773, 250529960, 292674429, 289687249, 679738115, 150613461, 368625358, 33003442, 735574277, 492849305, 454162183, 48136844, 4371965, 544373150, 716003200, 592434294, 63183668, 782378661, 725414139, 567652120, 232115047, 740148084, 403487557, 619676888, 730615864, 939285587, 197530959, 587042003, 838262736, 151800086, 14289903, 642463302, 463530836, 950221869, 145570441, 996360113, 328677931, 172397903, 928826428, 91587137, 297979301, 277607278, 753521859, 342383631, 938626557, 588628886, 101916003, 298733952, 68282356, 884058173, 485817497, 367986843, 739959333, 277126169, 888787363, 174333752, 34925415, 974236736, 76794443, 918920470, 709897863, 304182886, 68483033, 630101073, 809812377, 940734685, 860414016, 77694641, 378625376, 355881721, 265605966, 64749486, 337004580, 524362235, 625564337, 164346675, 515106828, 803993118, 197934412, 54995419, 683022256, 206880437, 835041626, 454029682, 506949697, 598457262, 976086854, 921621835, 96179571, 813874872, 577365678, 431277249, 685715191, 744997087, 350098437, 172845013, 47544411, 317611190, 5974481, 552147395, 11037920, 132029516, 466933954, 530725215, 488935504, 261884161, 704168525, 60335007, 617654229, 732349363, 568456682, 432175192, 995705108, 564072966, 212025999, 604679939, 384760633, 997688772, 148434460, 293091947, 593524792, 143536251, 239241407, 152661494, 614020038, 856863374, 829881544, 736535867, 783899201, 955855237, 702207271, 655825049, 520753353, 926574090, 280176440, 531859350, 286086230, 654475584, 108925227, 792545370, 637727042, 317626178, 156502094, 714038015, 65342031, 66841191, 273500717, 576685875, 720596377, 477820895, 829323791, 603374008, 280208250, 465470224, 148589809, 108101495, 458151974, 519594273, 395878909, 118099045, 403587185, 204743178, 486927114, 763652130, 885711955, 519770509, 560208862, 351411642, 197465968, 157133609, 774875748, 933544766, 560407189, 801458710, 567058611, 675270159, 383847808, 956854241, 259521614, 406870158, 240032454, 901915509, 186855231, 742415207, 242274657, 959096046, 163319765, 358314433, 666326910, 513017411, 902996236, 118670838, 868541127, 718845814, 746672526, 403102022, 953462348, 839495960, 484887845, 306432870, 33458487, 946875292, 767426018, 651187853, 343150103, 592775930, 668539598, 262499423, 675594229, 821618088, 718521791, 643885619, 979494966, 384834948, 37280488, 517518897, 678364595, 696510042, 567204766, 414636007, 95971199, 640314474, 163909760, 75157691, 819647921, 898139358, 166219609, 622435208, 745280484, 317724165, 940799410, 347193677, 970358612, 769580086, 236303693, 224150731, 655036487, 44546009, 906787027, 451671130, 59892617, 48158270, 641682973, 241697565, 230772827, 809411568, 344115059, 954647591, 712101651, 551684118, 484885139, 764602580, 273009365, 333154511, 895316888, 180479542, 907642959, 399382357, 14264731, 522972253, 323163690, 92836881, 112272943, 657092203, 37078900, 979732006, 772893034, 435270512, 305727027, 669889646, 244180559, 339480992, 458488757, 706890040, 378271219, 802857428, 373504048, 131667616, 248811784, 776539383, 155707458, 369297467, 102353910, 12623269, 93128455, 89277859, 719668570, 913208813, 715763139, 426726923, 93486747, 48746567, 420487773, 765083915, 224119101, 283081311, 429332490, 809151562, 281898991, 880144185, 924612960, 952121065, 74726899, 829716652, 778789659, 793964093, 171254422, 774102855, 577393938, 682956436, 799027767, 603598892, 177573240, 758988736, 521325569, 54389, 849558279, 197449240, 420979185, 165887442, 849243037, 237527000, 859656082, 910089065, 863794942, 896759802, 760187456, 654011007, 993779456, 598059163, 26507790, 644795228, 667628621, 311549812, 816461782, 352403635, 710193047, 497685921, 574177560, 597396727, 105352830, 416185177, 795305062, 532046064, 16386591, 308970338, 661315607, 869855683, 22679204, 783243325, 665726836, 531705740, 736616353, 703975601, 317780795, 577479503, 784640010, 820417412, 996619129, 882199668, 251582170, 562087017, 453168166, 721519090, 723145880, 108237235, 304425717, 191395458, 640004573, 279147704, 466600315, 521032995, 398900302, 713554274, 455031274, 776855083, 678663518, 290694425, 114628984, 849134681, 336675328, 223460308, 49041376, 197460514, 878894743, 332404458, 339203584, 525211902, 763597666, 875054302, 959423203, 65934989, 523206660, 141845340, 867678832, 498673377, 725942255, 836515788, 115916062, 382131722, 644446532, 632876276, 203766625, 962935389, 962220236, 966688176, 593527404, 390819871, 108088800, 496743056, 750822144, 221279839, 894481869, 35249478, 494028126, 553646521, 725808068, 920354045, 260775837, 40238087, 762364230, 823626928, 695093754, 257111848, 754302072, 903092103, 278847282, 261492149, 706305034, 64384447, 415599890, 489964780, 385578820, 502077636, 544454439, 188489711, 658064644, 925508908, 706734840, 702066896, 887652087, 759567181, 817073872, 333890654, 480372521, 560184335, 241038563, 505828954, 665410274, 65529703, 161240881, 266653379, 372967977, 875431530, 595388306, 377651150, 447866565, 739281355, 633080886, 342804302, 986351030, 942688445, 127442542, 400166688, 585304084, 680599574, 486762938, 391667817, 321583307, 483352859, 571439884, 584241766, 649268287, 429395153, 51794678, 542265211, 945413832, 904902134, 281462172, 484890554, 38395377, 364748628, 561334742, 408200372, 889195374, 709098769, 294450139, 358975487, 275056697, 971891006, 353310462, 124671601, 112814546, 456140527, 104303308, 425739669, 147135047, 477139169, 593925044, 242194032, 983539952, 486946373, 356899443, 769752231, 976414479, 910771061, 632830691, 473491463, 269780976, 976289778, 200893426, 683282992, 672589064, 223950925, 11640087, 492382120, 148314825, 607531069, 350657654, 153432165, 267094113, 562344199, 885440473, 276166685, 126421445, 261580745, 666655002, 591541935, 684107303, 643257950, 945082773, 933104692, 933371791, 720614531, 882262297, 206407461, 104484630, 979786002, 919310367, 511896064, 11748098, 81936213, 605635070, 747186390, 364945334, 469524071, 864482894, 315495222, 176562020, 930093507, 161325039, 206217924, 377675417, 470109905, 818798706, 104336754, 638882454, 656493156, 667900349, 25687976, 201224361, 79418487, 836143931, 508498048, 146246699, 584391717, 460967377, 124469255, 427630465, 816269711, 186593358, 246566863, 559486303, 76786236, 166829702, 946884055, 696079233, 34696455, 52132422, 70039888, 773753381, 49172643, 604762053, 253220718, 397475039, 827744120, 455108587, 855366273, 605804893, 916330276, 142935781, 952232776, 560329555, 150035019, 293113109, 886287915, 449949540, 925839963, 574000328, 632815240, 306829756, 489688347, 452002413, 743736095, 627621371, 195036209, 217037922, 499005168, 139305178, 357104653, 183192303, 371641002, 628039937, 295047460, 571351545, 990523662, 919858907, 964294919, 206288094, 66730432, 122647978, 500170464, 624977153, 282736544, 664983934, 286502504, 590334478, 278516021, 888109985, 96098053, 304400121, 136102395, 610488707, 453688400, 251444462, 566704393, 908359008, 506946819, 2257787, 700900168, 711989335, 719425519, 7931397, 459513159, 638369910, 241114997, 262075203, 885677533, 950965070, 329746411, 385962925, 954944053, 151182322, 384229648, 152818565, 57180014, 319773718, 954271419, 591295161, 564157843, 594541013, 554206642, 259994354, 911430988, 493183618, 782573227, 945209374, 477351983, 704177193, 250665392, 10559713, 306067112, 396035650, 701249776, 464281307, 149125797, 383507771, 863010023, 573291608, 786823945, 507371182, 622780976, 596507826, 950845201, 227578766, 219624222, 623862138, 742875465, 715080795, 325694419, 586663229, 873275077, 384253511, 51157628, 996224726, 156218192, 229264136, 927319871, 657320965, 947939591, 490983977, 75750410, 304226475, 447947763, 922115514, 205533897, 598818174, 387486209, 371532163, 10124250, 390433225, 387338278, 720179459, 15836137, 130445295, 730876362, 65982530, 84435624, 54590680, 193018195, 460313454, 106319035, 625228784, 964584018, 541630423, 613455411, 141847256, 218261746, 661431768, 660772375, 862777623, 399315836, 189780167, 548942527, 226970113, 171399455, 966947634, 91324846, 122473943, 781250239, 989269353, 218815265, 96070738, 936728380, 314779960, 223138827, 307584021, 637614595, 981865017, 331794996, 678018954, 295641257, 670632465, 738610102, 174574169, 689102608, 838296460, 813592969, 118159801, 872793884, 282987461, 319291009, 21502469, 575329341, 656790991, 560046448, 865771890, 389123451, 422414767, 908643669, 23465659, 732729752, 578628561, 187328349, 93293274, 20053715, 574948704, 516088591, 793043384, 174481858, 18138981, 411228430, 524286646, 126504775, 583971725, 905342870, 377521892, 731749259, 679715554, 563491876, 239516606, 286725474, 615856637, 535912757, 714708979, 247655396, 212612476, 567867789, 985710546, 112606043, 836339500, 997514108, 266323259, 74230628, 446751451, 388982212, 346822128, 770660671, 982483230, 139853014, 632674196, 60650318, 367871422, 879497744, 379374174, 382546892, 594819486, 435228617, 51537503, 439396286, 57256020, 89008227, 843515744, 318363193, 474492435, 131896424, 912131855, 747749147, 945906737, 118656015, 989575573, 997179946, 180468931, 955970975, 903056864, 722842822, 498700250, 214365046, 834690300, 971494045, 496538688, 364733654, 530372604, 776485011, 134644576, 533615789, 114758393, 999528264, 155735946, 213956323, 474869444, 379296547, 65529981, 830178955, 59923825, 91997235, 265115601, 881758341, 69423903, 229762867, 757860486, 600216247, 213650636, 400131606, 512941130, 805837567, 81718552, 880623625, 274694697, 282920001, 655538855, 71265667, 845777843, 892854262, 624819346, 477302298, 230694951, 969350493, 827270904, 276205153, 802411083, 991085412, 456646734, 324982879, 456189714, 317206809, 466288847, 400268751, 212253577, 343050869, 400932195, 705398329, 976319441, 791264660, 168262714, 192946904, 109616695, 632719563, 200706110, 99138534, 406998799, 171441699, 765191009, 486225529, 407462874, 217980801, 711128178, 503245453, 469165098, 144272784, 996487543, 729822420, 667486770, 148512858, 789622617, 455835192, 657137393, 734991280, 185701017, 705941069, 187830970, 180360398, 598354745, 451064261, 700783119, 361092623, 972895709, 997965812, 341682934, 367973170, 905859374, 243297516, 68690510, 944472193, 822783796, 53010150, 835431925, 486253801, 258733706, 713775306, 777991129, 238075331, 524759581, 302340492, 249336486, 893120949, 403329136, 546164352, 732347992, 647596174, 592691310, 682648666, 342978898, 389156178, 607327435, 964077807, 926942930, 299637281, 817641302, 451076456, 895881308, 552120364, 28886126, 978340406, 359030012, 981661011, 989898029, 972726182, 669074279, 154717489, 247358209, 1567095, 251198378, 670223341, 574941481, 587502321, 886343299, 91921573, 481174315, 470266789, 663662311, 968070692, 827371440, 696292628, 568309077, 75518081, 642404272, 436796959, 295805696, 92972978, 56714605, 660230133, 179324666, 996220499, 326722997, 350211631, 534500170, 110616770, 912320728, 160411527, 607991298, 24008878, 526905479, 778446400, 257996331, 408182380, 774175664, 129523174, 376770415, 340672401, 712849537, 725536276, 121066388, 423463461, 200964968, 260361605, 142261876, 377293696, 890954226, 339059984, 677080094, 726193229, 562734158, 736296318, 217662854, 852106637, 294273590, 629621607, 336352812, 836221174, 49353368, 928330660, 307674657, 342224512, 210979586, 639758196, 660725273, 363905666, 343532459, 532315034, 51468143, 947329737, 759470262, 122220562, 684312995, 425586645, 818749186, 318425101, 151887771, 82597482, 481367594, 180100183, 984139992, 476048124, 465774624, 311756521, 558460356, 571615523, 958471807, 920825316, 316367361, 870491944, 404793783, 134382417, 511229688, 558259997, 104014142, 290706140, 683649089, 68881791, 506410612, 475965870, 821249181, 490171788, 157720730, 188382793, 232289062, 941557039, 346983142, 188022483, 387241926, 305204029, 720996758, 792412612, 983709300, 213242014, 94889974, 163994387, 945325905, 642133418, 540175008, 303387835, 559224204, 268953632, 509234275, 270120043, 221635381, 438847358, 678932527, 838126012, 243506258, 43794464, 776269579, 266166422, 693811795, 378978879, 172645472, 169408809, 762929332, 771094798, 770866182, 986875297, 48933129, 855145245, 192563917, 852071237, 449620950, 550674318, 29758676, 986586796, 247717821, 5004583, 18086875, 835016681, 758011422, 513892748, 813296557, 671217022, 509817786, 382662034, 494828704, 721623705, 557036560, 715238622, 804173106, 532884614, 433303867, 37247159, 260098694, 720822637, 4392390, 405191129, 888177745, 381609400, 890698274, 152653467, 354137624, 850007133, 315993039, 754312586, 123516728, 415902041, 317092309, 123751014, 931638019, 973027623, 35425412, 421975578, 339647515, 333060999, 921437701, 454370103, 514224288, 620277896, 614708320, 264099489, 74559083, 58403566, 278336398, 805984663, 878337100, 222064315, 898014792, 71873259, 486926150, 394120279, 646943052, 822638107, 608911308, 321259759, 585105111, 108912146, 863250184, 34423217, 663775007, 880247622, 576577422, 71725923, 654879997, 444425178, 916336627, 523429723, 807323311, 317693028, 438821251, 236113337, 595507065, 538543853, 951227371, 909323957, 732788597, 249394477, 665420894, 555338614, 811380444, 668757089, 739278856, 274659300, 928878152, 844793511, 924048993, 591031272, 601890462, 336450193, 172469526, 809872767, 414479515, 116984280, 536484107, 412777791, 63443203, 143720746, 657918773, 434733980, 173582554, 833727106, 170311413, 423568308, 353902282, 368627321, 887295564, 168747502, 27597089, 949621007, 114308930, 364341486, 267931581, 238332638, 301369045, 210848559, 7204561, 426336978, 900702606, 463895372, 874456767, 1808154, 92128493, 153907722, 414643146, 993886985, 336218089, 622622149, 574944274, 476831135, 225553314, 636064631, 901478671, 932441965, 148513322, 276693944, 695842581, 331181188, 82804097, 846359493, 359842833, 964803664, 302289167, 463125434, 695428621, 475675462, 856901458, 268107925, 533634498, 496919658, 68756071, 607987817, 404532247, 428803354, 340891206, 597541204, 973460477, 435707904, 606207778, 62354152, 700574856, 994984486, 91119732, 337579548, 853811862, 194664538, 800822703, 837873409, 418191555, 308524054, 805641382, 649971975, 56058547, 994712455, 459967619, 408162655, 292282372, 524406554, 194093632, 138796626, 698005554, 54701274, 225626011, 805665144, 643020417, 996616831, 711271331, 833694280, 532682775, 820254764, 764309148, 734160205, 76739998, 144180889, 17061684, 552608786, 973876721, 691855726, 285838342, 210278856, 881594848, 808420601, 390147594, 318434390, 549425437, 786521963, 387332901, 617804340, 90556746, 16934989, 328635464, 288087360, 395497637, 115291885, 79644554, 177180205, 824063133, 776348546, 142966529, 57266687, 565862316, 98388696, 877453169, 316748887, 853832365, 562253547, 787985848, 988333849, 38611611, 719457005, 313440781, 246830379, 90410612, 867751382, 471449881, 197129739, 750390218, 573880508, 141955116, 468044047, 408756299, 939862562, 71042185, 982229035, 195632441, 647978488, 367100677, 565759614, 12149647, 972360395, 489315973, 460562189, 205338945, 236080501, 991768978, 388835129, 533452914, 175421574, 322620195, 670192688, 887466050, 675881634, 964272413, 139769490, 877619271, 918030149, 775752121, 727606156, 680489212, 334526212, 773386569, 163194271, 198453696, 831207914, 238036346, 458986615, 530758581, 40051236, 83802839, 759692055, 605274772, 779922898, 14816567, 239526214, 939153265, 123386377, 405302514, 48450935, 844585211, 496707034, 982354970, 645656689, 727163077, 957368776, 184273411, 855663945, 73759488, 972262008, 56399106, 666744847, 551528024, 773203407, 645536635, 976305586, 787466797, 198329086, 366458506, 912369721, 648748175, 810162237, 20770936, 857362559, 563333405, 635838840, 731464859, 127798218, 988776058, 278764253, 164853061, 794792429, 934410560, 858112786, 106344815, 12944883, 96970870, 844053229, 540290924, 654049225, 782655379, 68491279, 387132817, 678604063, 611069337, 419226644, 989075591, 900735416, 998007687, 213847245, 402137097, 482779016, 366724404, 422207436, 97362978, 805150462, 418630771, 422002970, 242366780, 213393403, 632461599, 811679276, 485947882, 163030813, 708161842, 404702953, 137359656, 538905387, 505013529, 556529353, 564792178, 163191280, 637630282, 104817617, 340622339, 807825892, 454025716, 572386899, 55533747, 15135584, 233438761, 702365210, 585062790, 408183380, 429712654, 501034318, 714456212, 37818011, 668438498, 729839940, 458483728, 676450485, 370197555, 779711623, 873381189, 249647304, 882525905, 87404187, 363591103, 547492629, 869718678, 230480690, 84370016, 889494105, 588548273, 335867460, 950675514, 186509953, 782419800, 830070978, 645422701, 381870221, 486413809, 241520057, 196715836, 946472728, 132343659, 808283780, 461310013, 58423391, 672398716, 228677875, 874841154, 222926594, 204812213, 470191151, 822482699, 466938122, 386662605, 719403737, 10019658, 811593303, 319290272, 175884145, 342302352, 497154088, 746825338, 545416993, 313202223, 495119654, 109031387, 715115255, 771770331, 700564287, 374454631, 216957814, 883318291, 137409098, 302176011, 262200195, 700602625, 177619610, 434798980, 829807714, 651703459, 680415371, 945931808, 444679827, 245568533, 737310817, 96798350, 198423492, 297448676, 785013481, 423594203, 460398744, 169220257, 232670425, 212057835, 640331314, 71155197, 829977434, 146082212, 663540970, 41530322, 965092379, 871364842, 954677707, 86025994, 184454184, 483913926, 61217277, 120802877, 323790721, 746861262, 538386074, 802896098, 50477979, 859908790, 452493309, 432006792, 183813844, 717833918, 937032458, 492071352, 638524265, 162567983, 518015488, 992163021, 476110775, 182320197, 198041722, 467858964, 307665964, 224214954, 479314979, 714378843, 189926771, 356355999, 939210931, 436985088, 988689696, 798467438, 140424887, 723285233, 57430619, 443918776, 413259592, 850802215, 401109379, 401966101, 210746460, 744051858, 468908025, 909130898, 269361972, 524330934, 239392636, 222601765, 594274990, 978154143, 463937512, 902748928, 568345797, 986269911, 759551437, 862872179, 921014787, 391001153, 244295444, 60054154, 57536832, 761477879, 999950259, 861366959, 975177410, 530573948, 903617857, 166680933, 82458450, 415247299, 566883257, 165801, 584193133, 610343579, 322956872, 183953895, 866578174, 966239445, 294854283, 431928608, 130814367, 581324267, 630346170, 157311480, 674185636, 536948984, 233675564, 850191416, 887907459, 598702181, 333865741, 145950979, 327227660, 154980713, 750401422, 285814142, 281660377, 240736940, 516058103, 368535165, 287268639, 207662910, 957106969, 363864838, 32743033, 422766766, 907095953, 722295275, 317800741, 415315369, 951050076, 446422553, 316338188, 530843702, 937367661, 306940406, 13605024, 859731505, 79517406, 160262395, 38966296, 248378390, 977379237, 661750454, 62270266, 826663391, 746922682, 715720637, 428163407, 676925386, 349496208, 514822916, 871328685, 579445949, 351352009, 62870808, 935849362, 577271074, 726479865, 875948936, 429930801, 900077986, 687584396, 237184088, 899405602, 553126069, 289344494, 82372007, 672401865, 52499822, 458191831, 631281497, 533631641, 60903350, 280805548, 291629434, 330719837, 291666842, 685611336, 47720339, 215148617, 539476427, 62866834, 73368946, 323304464, 574095154, 272689952, 790158135, 692139774, 112268124, 306323259, 271301793, 526967500, 271379567, 247999442, 4310199, 602436379, 485283794, 321051955, 712579788, 568946043, 352965662, 184457963, 510721099, 112387897, 386142754, 121268352, 993478869, 581434590, 557215616, 889566030, 369440148, 743045533, 830107369, 490319283, 804840910, 6419180, 959945396, 190614911, 444278912, 424589218, 977907001, 854525719, 610694612, 681362815, 368200300, 684828514, 450942926, 514029875, 913849655, 851306301, 673317426, 559407571, 638727600, 385822892, 104721048, 475832743, 405816550, 803070000, 603927207, 635092947, 343478431, 665162793, 756201078, 54799913, 998138231, 743075914, 730375930, 814393170, 728232261, 62044653, 749501841, 415427038, 513028142, 249417179, 407489793, 8834419, 763455232, 575579214, 336172053, 664149160, 552764934, 368989298, 869381235, 245760504, 559601798, 459411092, 128521566, 105948064, 822503862, 28182710, 425804549, 296216902, 783985669, 738287529, 245216367, 205671521, 219292492, 417375923, 88060995, 221789467, 103643152, 97007674, 946405, 547224805, 375118476, 106191758, 19985374, 728029622, 798077597, 598195072, 932201935, 741122904, 387694757, 677287916, 195375494, 874040994, 454154459, 32085124, 349686963, 164908756, 814292456, 592063801, 788139179, 537873054, 827359417, 801913924, 597757325, 48010650, 837545334, 819126990, 855957844, 85007013, 572464285, 548926678, 725367000, 116115369, 512413926, 342314126, 968581504, 52547535, 772240546, 383799947, 585911059, 282867863, 700287741, 549921260, 532655537, 138258764, 432791725, 357752860, 940644567, 704421017, 168261924, 605897316, 432426039, 374132771, 610045010, 447019469, 243162073, 975979616, 97008845, 719608588, 353366225, 787500224, 593440073, 47629185, 434626138, 512744854, 251118508, 623122670, 11094260, 169645830, 528048638, 566621041, 381884160, 773486573, 94360158, 82760880, 463204505, 422480116, 167581376, 783857268, 661271465, 909522961, 659253075, 326023500, 371004541, 262730988, 680953610, 432595175, 231244248, 546215018, 84259289, 504556555, 219654290, 195501912, 307052632, 418356154, 329362376, 669865795, 439812306, 860016622, 74360913, 332152235, 807622082, 443082613, 508234766, 528623685, 402633623, 740506255, 852911932, 867133523, 163157266, 736508791, 708896062, 803882785, 272961421, 643298792, 748868096, 319073360, 454788453, 682479981, 957887577, 596018191, 905769375, 434845080, 962708802, 377896464, 63166324, 331744668, 109860589, 779815618, 372429780, 910941329, 945187623, 53099201, 41645261, 579844663, 248498587, 35411060, 771965983, 250289077, 425512707, 931649263, 890365559, 782715791, 10368292, 380281668, 586461314, 880299475, 246702094, 378895698, 441890601, 615160867, 785072999, 167198517, 681651389, 502261139, 30492505, 524230436, 913121407, 772694165, 657502740, 940222153, 698531638, 46485602, 252280180, 324826643, 931927926, 78078388, 70692540, 143551684, 525801083, 954362043, 359272479, 744807174, 641495624, 876453513, 543179161, 153134709, 12259712, 968845964, 597240007, 31447396, 409096573, 944256961, 877583951, 550958411, 722863008, 851332097, 224362744, 252506815, 403259766, 652995660, 435785420, 259996738, 31630275, 243228613, 806375772, 558952114, 972753138, 231295310, 113272882, 604453865, 98227579, 674278659, 813750494, 413117764, 859130011, 3094164, 700511972, 918203760, 254260806, 225253062, 388047763, 603269028, 990381164, 877610281, 509735984, 430443935, 431244873, 590767225, 713929682, 422487228, 491005288, 566600838, 833917760, 247484487, 532852586, 108413801, 796282761, 895608902, 178139895, 332713512, 396607835, 479071664, 737810377, 230357708, 860724198, 374069142, 683885075, 736271585, 742340049, 765103134, 490733760, 107248094, 752467299, 182445563, 283010196, 11062589, 506855704, 590475623, 290446001, 823104265, 751959050, 311126747, 702020617, 681859438, 30558111, 105667063, 927741330, 111720908, 818645528, 134266315, 384625240, 677050185, 189406663, 201602163, 105957159, 986615719, 154010121, 302506315, 307468237, 812304523, 336152959, 601709125, 369094842, 96879803, 830015342, 106907980, 848035832, 295227574, 347856849, 77376250, 561500158, 931648827, 246873453, 291259566, 428365077, 324972831, 285458643, 50159839, 191645091, 143728999, 778599734, 588716423, 443187210, 599923028, 992771172, 349106695, 404138926, 368557161, 688753223, 26034686, 701430935, 862852355, 972599532, 422698371, 192374540, 573769308, 325972876, 813485907, 851640889, 635276925, 502404213, 96179126, 456985364, 551501026, 601050839, 69426017, 667030460, 89824047, 667102356, 120093951, 870892374, 726981505, 108139288, 136729659, 889892456, 244753859, 987401415, 853379828, 974191889, 800906583, 134679303, 421788470, 867918010, 143563227, 964397993, 565126020, 226026569, 62692353, 104691804, 805197861, 173075132, 97404202, 829426454, 50324380, 918363521, 310504710, 509605502, 350244463, 951401051, 376989234, 518184902, 303172756, 495588178, 361007044, 24635485, 294855537, 639718699, 967944739, 976231398, 628763772, 213951682, 67461587, 649856532, 799086632, 716188892, 606553555, 235114409, 867987903, 264412700, 550362495, 510639510, 863680262, 233822549, 388386883, 420317888, 787391491, 928913176, 514811533, 654051267, 413908611, 527521048, 252867047, 861700693, 35599428, 988081535, 756954055, 611533857, 353887235, 564100042, 485056490, 591079944, 7488448, 858550074, 772857673, 241404324, 576037379, 671266486, 261450768, 380180467, 707952724, 44254078, 568914479, 982957896, 274160953, 925263072, 90424024, 562462113, 600363674, 59281989, 149189899, 113649739, 114946011, 887845366, 942669589, 312934106, 541110202, 456583701, 379685084, 160441356, 237412712, 180052990, 991433915, 252223453, 770942710, 953963047, 444569309, 394568426, 56514351, 344954175, 499818526, 147024029, 188856377, 565284449, 433806778, 676122119, 872126020, 483218092, 206931404, 357612144, 239681416, 782030071, 582677173, 782489823, 799898864, 200420270, 191167074, 302929200, 13508807, 536523068, 896911056, 479245690, 299601953, 110864590, 678443411, 728343594, 213045007, 340473408, 298365386, 135715419, 223447964, 282418027, 704213012, 218754678, 811914173, 651968236, 867149977, 78036033, 959634982, 375879259, 681801680, 699468176, 349579714, 283253986, 497982948, 292378715, 380733629, 536251555, 828774089, 41097237, 111292987, 559373928, 70406845, 158131274, 524111767, 31941572, 174423976, 274804747, 151276996, 395139115, 869010220, 151647672, 189547143, 480510360, 867878088, 962238125, 29103961, 658988924, 178611180, 360128378, 444676885, 148703598, 300236085, 957832620, 412576911, 626520094, 797871906, 405118863, 453891060, 488281388, 498404409, 743210762, 459379063, 21916561, 483794779, 233305318, 678633939, 971440356, 984905924, 690037836, 69224950, 351413268, 604690700, 398599242, 106068461, 482059240, 579282034, 807349159, 7362140, 679296297, 901627025, 66161952, 500198323, 582569585, 851237895, 666396035, 871355894, 248644389, 100185132, 283526771, 832099900, 424143063, 230260260, 724009961, 976142116, 274933527, 954529713, 521582576, 595681626, 79439440, 585208603, 394282014, 26915106, 283855753, 387608944, 52402357, 483491500, 518832740, 686299637, 610949725, 91868083, 489845622, 111425070, 516378689, 303075289, 199102939, 12716760, 947414396, 890441873, 491342929, 718441104, 13613602, 268558954, 223343842, 594275398, 275874225, 560524867, 682620926, 304430968, 321573489, 127376203, 95283016, 543026665, 394584916, 978809985, 631421061, 744216506, 975696451, 848393873, 969476195, 430417725, 600848444, 297716251, 871415526, 568144481, 544544993, 130774489, 169340200, 27784490, 94244094, 887330586, 256467142, 793709155, 615068257, 518484366, 195164923, 187728695, 538328592, 386249009, 632218824, 154085776, 696731548, 446853727, 157284584, 59664445, 456769260, 33467294, 8134763, 579133049, 771838356, 999125855, 33180418, 567762676, 415230602, 534411830, 329789307, 323840712, 439776468, 36135493, 924663349, 40237295, 651759500, 186686129, 5859494, 841522649, 486869804, 330183205, 252128448, 219337107, 650205142, 155080169, 449912497, 605410196, 183023867, 266334854, 754687107, 617556850, 503699120, 573580158, 448547684, 167200757, 795629199, 383040004, 165807453, 322767276, 426624352, 309741672, 915632670, 653962559, 309835615, 625860991, 261881652, 685311721, 670236104, 422976723, 970224587, 665776583, 378479495, 283769222, 526648452, 304356747, 95099547, 735483291, 481510622, 225044746, 22449856, 639091996, 324694637, 986616893, 401462979, 794686388, 504208634, 128313269, 234617362, 512561470, 262606860, 699238481, 589454310, 654586686, 711344197, 604766517, 515605241, 913431003, 467625107, 721522378, 854529151, 452467351, 695810422, 92826777, 888559728, 391763995, 679312867, 738018492, 652047638, 494374661, 566200043, 983753820, 748295216, 926959528, 527881778, 662185194, 504953369, 927031371, 679263469, 67822409, 923337735, 770184721, 466522329, 955269672, 448142536, 530382572, 595726765, 646767702, 381910356, 301590949, 788378854, 200689880, 798988118, 604078480, 499238874, 79103449, 74586534, 38260451, 447934820, 964733949, 503133409, 155259969, 431236182, 73670836, 235958999, 300958992, 325503025, 90694630, 47754827, 276215982, 65496606, 14738333, 570963709, 124708353, 599634703, 493573360, 256037880, 939230502, 488578050, 151313999, 880379235, 919441769, 3910909, 970598464, 442881139, 121056434, 446195333, 962045360, 169610698, 676329764, 67675944, 503986522, 258149920, 941413137, 832453943, 181903759, 991119510, 351916838, 253260870, 208551606, 732327269, 218828594, 249363392, 547597227, 557113148, 980508161, 267275594, 916714265, 137356924, 627119829, 137458419, 472368566, 160199259, 759742708, 247822677, 945952695, 327604062, 82137680, 705136950, 755533808, 646485035, 389527410, 946900939, 450870082, 403031267, 317564199, 445860142, 434063437, 447922794, 388057478, 318665589, 641170231, 75425619, 918536352, 248323417, 587065077, 941526476, 618107024, 537306087, 878909894, 514382603, 261058736, 152633683, 565655159, 383019115, 403529583, 319349417, 231704298, 569401610, 483841004, 589404682, 923000532, 747243516, 242683865, 272718847, 334320714, 616497255, 922421868, 662758242, 474953226, 401788580, 176989543, 836627602, 855800690, 412280930, 667716402, 952230068, 501357166, 339610696, 576477753, 220462838, 875406870, 713634432, 38025135, 155186518, 107005045, 447178699, 820697383, 875844343, 995582121, 673836818, 821133860, 390911629, 218390267, 187598631, 509515014, 900717977, 928611831, 868490977, 466379996, 337163581, 843362162, 435637787, 472794434, 283116222, 613086290, 651054712, 701348621, 861604014, 734512669, 282061580, 577444592, 293503211, 468482893, 364729149, 392662118, 623948258, 46455521, 651182072, 991867625, 682062868, 876781970, 273658458, 45448422, 824761474, 643057457, 608444358, 743625706, 386514843, 720593676, 441037089, 152548801, 364608114, 869691, 247386823, 286796381, 541902242, 558160211, 898582961, 847306280, 489382302, 714606110, 853433458, 877617333, 988949306, 663594240, 480214018, 713648496, 620813608, 459155124, 742118271, 103832884, 376061463, 4915750, 665612771, 97207552, 417886128, 134338274, 475428382, 73608071, 735521452, 241663428, 462161644, 103177277, 566354564, 451900567, 87749221, 105981094, 702345569, 141824179, 175115134, 931320465, 611912525, 88789578, 165234443, 768738451, 905989656, 111456350, 777538523, 309730680, 308330795, 379026751, 932578725, 910335919, 625817232, 598606493, 71788901, 464978102, 711022637, 534482620, 635806559, 705584519, 823449810, 588846434, 69565655, 274281303, 17768884, 698588528, 190263584, 823300283, 235142147, 378820305, 858139810, 940065141, 486405933, 268668095, 973646968, 146312986, 620440452, 25709842, 256542819, 903786187, 956748457, 433417515, 747024625, 532157355, 886561729, 550287627, 884423739, 468564473, 40824135, 654600518, 30354327, 32264664, 299463565, 420349838, 584390039, 926058296, 483315897, 359292871, 88737691, 820885183, 399326998, 609104707, 281668450, 509585438, 896475554, 46825493, 468175916, 93146429, 75149704, 663945520, 844992600, 747199150, 381976042, 567887089, 790146181, 499682098, 188354601, 368394039, 461814082, 618525622, 208568799, 634902128, 842504461, 631065971, 328232174, 787092377, 762373467, 738156109, 610773471, 847517091, 823071944, 812936080, 985907183, 874637884, 409199912, 6778537, 639827695, 15414877, 490871172, 440502471, 459501128, 703075592, 951217217, 435403924, 680905235, 52572693, 811611071, 384472809, 552480571, 419707062, 864430119, 267693063, 33125960, 23424146, 79183057, 971115026, 67647480, 428309109, 846555598, 889238181, 338857109, 988031387, 726461916, 575892930, 550148611, 156133494, 686994614, 959336912, 265870310, 471241316, 766481714, 738318595, 489724425, 558965445, 406224990, 675731134, 584984429, 532072331, 456677628, 543944643, 207642517, 481843579, 766686819, 62673231, 684746266, 296614473, 987936672, 19519947, 157030240, 305477145, 690719276, 650432460, 999877674, 449013119, 711616514, 738457598, 582792279, 161408407, 921045761, 700203709, 113771659, 912181014, 660629709, 180668993, 34831689, 733854275, 220090215, 379314949, 529604791, 454984012, 380711321, 273495668, 853109795, 458562207, 444750756, 581879175, 151301155, 403012540, 936429416, 859800328, 517159323, 969294440, 748569252, 46502979, 655932216, 400917819, 247759804, 585079863, 885366759, 325462567, 629681970, 537328364, 862317211, 708162533, 873574985, 600419684, 568432517, 816089667, 855717697, 756100362, 382269211, 415798304, 505172088, 678463704, 826181259, 168654032, 283228072, 678106381, 978914852, 230076371, 505058053, 434198823, 492078513, 824859141, 499215027, 557034704, 855729777, 592654519, 963416576, 866329149, 781467615, 198456441, 297385850, 572084703, 578073592, 545800232, 763320005, 728353116, 647863503, 485365707, 565388682, 837752668, 904290666, 291597032, 506093193, 929407324, 412268093, 669021757, 728326381, 369543892, 659123072, 794111656, 550725265, 145324131, 895969177, 666036436, 137411881, 960174420, 489544997, 499370634, 332541091, 446995581, 586162909, 943801876, 612369162, 675278068, 947459680, 730978686, 823701539, 860368525, 624502675, 285808357, 194205621, 263041954, 34235256, 66196927, 300211725, 145089385, 150906829, 381059146, 318695029, 137424165, 784538743, 98258913, 739126686, 986631644, 473616305, 837142890, 779861176, 904128869, 324858944, 765990009, 753193367, 234404703, 2018552, 891090340, 49318523, 719988975, 14791816, 951676131, 599780206, 222436151, 266653993, 641223270, 320173432, 584031640, 444357784, 298383769, 780372614, 342652106, 555327977, 131851970, 175194347, 741304901, 251582985, 342156324, 345796243, 605906087, 352421040, 230253366, 993235257, 1969693, 281474188, 111016296, 824690716, 894944977, 482038080, 636320156, 790578990, 502396837, 523840788, 349748619, 972128524, 701054830, 337786421, 875171484, 822916241, 286921120, 561846284, 613580799, 484573305, 993610851, 872196940, 333242067, 349937096, 849906783, 49908089, 743533372, 658266306, 386639072, 586011970, 842935939, 342371414, 393986007, 575207498, 168604948, 214304006, 907795244, 248420370, 363625364, 827514166, 221096498, 966836689, 971929622, 418585743, 706739447, 425853724, 900128790, 900733193, 30543942, 734187883, 394415880, 544856894, 569566671, 103290435, 70580858, 59711808, 710032977, 249851645, 337334402, 461705316, 92329528, 366911765, 334796049, 567192930, 791923255, 720232864, 343679461, 262185886, 554970574, 254142664, 913079752, 814761387, 888735188, 520983618, 455389107, 431755676, 798174929, 259893423, 64405313, 7243084, 925615955, 842598743, 902785203, 846361742, 122749378, 180632462, 708810233, 812366622, 233173292, 131033349, 112196428, 304306776, 645307287, 570759260, 60834827, 116662236, 899219934, 757525569, 766719924, 588649303, 570844993, 51002503, 604170753, 591132281, 378547274, 146049476, 183819447, 913955497, 550078327, 559529384, 24905873, 647073766, 198415512, 719343295, 508295435, 400409892, 760265724, 94184038, 539214553, 991847031, 485747217, 399102641, 664971753, 991477592, 108275119, 561147043, 562040342, 621779645, 785938050, 739144722, 615225248, 994805428, 394487930, 894037259, 923682240, 43004805, 369479471, 919077148, 639980054, 626703243, 454692327, 976087245, 707307036, 400626082, 124955200, 851810788, 669003450, 810519571, 883995293, 213845740, 236095867, 179602456, 855296527, 455118220, 510528471, 35108972, 843937697, 329008005, 971054715, 737705562, 348582493, 693737258, 603275003, 902089194, 103543926, 777539873, 153241748, 956580036, 761807478, 539430966, 480418983, 65363229, 460487854, 40743548, 454671158, 972206433, 908974449, 322315503, 110268610, 686926985, 177133879, 335037877, 161075744, 474092329, 754030143, 801772724, 817148787, 674611573, 758240652, 461913824, 821388309, 787212142, 118920323, 698116007, 704100039, 136795407, 366183003, 985541015, 497120673, 343162110, 58858634, 328193124, 59333140, 505457807, 370925360, 887102724, 590207630, 995904364, 978227184, 128533219, 361116492, 927416478, 287046958, 334598404, 826567560, 766380956, 387399293, 610040213, 67889025, 500279753, 221039914, 761947924, 290590030, 357294274, 762258931, 463085570, 104944345, 53891189, 816753000, 652028847, 76693454, 807361377, 774642291, 386368608, 429808163, 305491914, 612238657, 860079063, 157182675, 766764369, 164551872, 798878302, 7676265, 427862487, 418784890, 696961656, 986449456, 628464644, 606692017, 863966009, 213796025, 350494043, 754629315, 457740603, 465408182, 155366244, 434162926, 166266940, 544697861, 455817159, 745621596, 116214986, 407037763, 37510297, 659103718, 947206768, 380146779, 178441882, 588810473, 910702477, 742100513, 506398900, 78948914, 148915085, 586726661, 94511150, 89416212, 669066166, 176452143, 814622632, 610142321, 143581589, 806938583, 106132945, 575441670, 810768819, 940699304, 279715288, 210603555, 655719558, 623234413, 531189354, 679465713, 962245112, 117956501, 42536699, 10175078, 441359588, 260534326, 73271918, 9934085, 726983284, 493505781, 694158561, 39742021, 404208445, 778428736, 197940120, 568628378, 127094494, 117983659, 159874068, 796861743, 186406357, 463133716, 413252565, 65007814, 676083694, 356659794, 551966221, 15387105, 567542672, 477316217, 520316086, 964023870, 331846008, 960616796, 994028705, 656053807, 143840958, 710032805, 859406265, 266078336, 87538504, 713379627, 851373517, 12465574, 578822303, 534153334, 743297876, 678474482, 574120829, 351800460, 306688009, 840029909, 325463859, 795813923, 766224438, 453029252, 784640243, 102097305, 667580443, 964021748, 703999087, 846300429, 800326353, 450701585, 234612325, 138453683, 528583114, 410123543, 435580382, 20901999, 167906042, 282080030, 474304373, 247547544, 115326016, 26372501, 651823049, 414152575, 808294514, 839236603, 51990413, 947148583, 268282871, 172462538, 715353239, 87015120, 623803143, 398092712, 768985006, 63174591, 598850834, 920479944, 390740505, 476732193, 168503448, 76253371, 434259097, 308079295, 380666113, 671126536, 120376766, 778453294, 758731887, 719045564, 802583270, 171667173, 91649316, 112540254, 921161700, 419910330, 965984748, 703849834, 402194578, 319564218, 833790073, 862772637, 13973749, 295506953, 560192226, 241845300, 459016554, 284424176, 495322860, 908548077, 453250224, 549830587, 101519816, 316306680, 4297274, 477591933, 929962688, 687356969, 704176315, 570802613, 192540473, 876244597, 2352570, 161476919, 849719649, 326532826, 914425547, 304260255, 705752182, 191928536, 818243490, 48026838, 751112307, 727240325, 14192232, 305402925, 698844691, 499796875, 761261339, 92939287, 322481627, 393009167, 554761352, 363499340, 938467278, 213523609, 408615979, 969704197, 999792740, 871268387, 960925764, 965551046, 744832839, 489557826, 597085985, 474378523, 880102871, 909535741, 599457438, 692812284, 346285099, 623217380, 501353328, 56899865, 636911947, 738219084, 70134573, 527461049, 106559068, 810111463, 208249045, 924396426, 561698898, 684186001, 462551659, 626727259, 601653983, 961752476, 194549712, 404788333, 383369236, 741701702, 123955592, 179934961, 273323873, 262253410, 370068399, 589383282, 118500823, 225341612, 114207638, 324748608, 353578569, 400723274, 485376116, 155237963, 416915063, 801437726, 926540916, 873433287, 980821313, 32012835, 409561044, 126219618, 130251090, 231497075, 775502207, 48683846, 676215637, 20165694, 109965397, 983224952, 930484600, 736322146, 908251788, 933599195, 357570996, 193187040, 981127519, 279774120, 24542801, 418039497, 599573216, 281940477, 445646172, 288693840, 98193540, 599139456, 37471004, 644669251, 807518813, 63138917, 582451650, 767067766, 783088986, 33248852, 244162103, 774330124, 995667619, 578111063, 345500715, 184658013, 566535159, 999106421, 746817361, 289654502, 950468044, 439475067, 746402749, 298074927, 590414146, 190468335, 541570670, 847385340, 590407191, 670118320, 434966136, 430797375, 764314557, 569495540, 139367547, 116201815, 626245134, 309618198, 130055973, 100416415, 573457213, 678091931, 244142167, 324520935, 755759385, 641620088, 548111354, 789034994, 288527047, 695926502, 739586343, 820328226, 933287844, 20797880, 335199579, 380319210, 435632491, 944033827, 564667116, 460531104, 44054348, 527896444, 7651123, 65919309, 813049872, 516541406, 741169518, 387004322, 565924865, 680072669, 399151257, 716301105, 166297630, 954483141, 755689683, 880992351, 830736318, 582944143, 830408622, 349102087, 938381719, 305397575, 579727518, 75458779, 601566722, 969806471, 468843697, 959576032, 362248172, 937378584, 7807180, 732124825, 729049850, 220189016, 559158857, 139651929, 1463412, 63171720, 285623426, 604091081, 56228109, 916158069, 315683725, 431421794, 381203992, 695736713, 423822025, 179242122, 814611460, 32896558, 509381281, 485614243, 834665169, 404153196, 117447196, 280830851, 84815114, 155386312, 1329059, 367109128, 866577119, 136010953, 843735615, 649702963, 636104388, 790151515, 513602221, 39418187, 907639117, 943447839, 931904679, 459274839, 597337805, 362097618, 525459536, 95379158, 312513417, 321117234, 767943294, 253133714, 667804728, 700176654, 324244555, 70142379, 228916152, 887835813, 895075926, 482060838, 398579272, 991435210, 637972955, 546930296, 92598921, 367636733, 899317402, 139931578, 191792528, 622050078, 472161889, 12990656, 782876033, 867037140, 64108588, 788425697, 284655044, 339114067, 973071478, 841539100, 363056050, 70597670, 359364937, 494640469, 546357925, 579039900, 240903677, 93629298, 640438653, 441368826, 901699704, 600858681, 808182921, 556126971, 823332898, 407742352, 495276847, 336011469, 814144096, 489300362, 994186836, 123258915, 754640406, 673725403, 536401347, 392476048, 492359725, 842458229, 428737161, 403418619, 134564446, 747843565, 774234013, 905143115, 509512978, 27540945, 402786805, 699152761, 189284580, 280401553, 613188750, 746867896, 751684378, 588480054, 199861508, 256800902, 595750656, 749939986, 35376617, 309394126, 299074763, 112880695, 120490986, 21072336, 679537329, 950081033, 379636076, 187372636, 412874225, 637481275, 717934761, 322908379, 531009794, 241289814, 621709486, 624372339, 571733658, 482766056, 310218859, 23866849, 76783484, 324268685, 644079303, 354946735, 678367543, 559769159, 978098509, 658309176, 736161886, 399717784, 370905484, 166566210, 858575674, 148885655, 737161300, 902104899, 61635611, 917081504, 436469173, 585869534, 719837919, 549464893, 829727570, 995533162, 541997907, 262144445, 547275155, 886195719, 957193337, 293479774, 479676865, 696098435, 959507792, 848520788, 440126476, 24473989, 120738889, 944157022, 285504747, 377028055, 194837927, 198891834, 872631411, 827040694, 14375858, 942532076, 659457233, 224378233, 499869537, 177114504, 978257617, 401684550, 429446992, 169546692, 269008166, 70767055, 470591578, 900298047, 135460987, 896423477, 284015191, 273262409, 517269787, 908210616, 940902190, 881078390, 85810042, 152864765, 314285346, 535486758, 733577043, 911357131, 358407621, 470238691, 624161928, 867739423, 701486904, 660337017, 418806455, 567425082, 529003838, 380512038, 693293983, 925608375, 512643488, 777674221, 950965174, 872827677, 243168775, 170114437, 734220766, 234947022, 260363344, 186253978, 282406891, 138494753, 811380047, 341470523, 344712208, 575150361, 882071547, 696314909, 960055551, 954436743, 614902137, 770152008, 906808679, 376065057, 477866428, 164279933, 339858387, 27691811, 90944574, 581132438, 304106063, 468235382, 240100618, 769105562, 981533962, 447615421, 88733927, 672034535, 116989791, 971859441, 808556584, 53640331, 574280584, 755610974, 840111086, 200862065, 678605080, 265399357, 938896489, 125408770, 667150480, 531751640, 135611975, 865790609, 484354978, 969106335, 762215342, 257085675, 11285334, 997304190, 576683819, 345234604, 615205268, 413720835, 808213612, 254999251, 521958774, 568185130, 92450161, 896903685, 372989939, 314453410, 128946272, 682811172, 927013764, 535038161, 743948205, 315857009, 23522915, 495408157, 382101413, 229315293, 667522338, 431301704, 907099926, 750818505, 907662608, 563437251, 606436150, 106906060, 268092662, 513804138, 193586474, 868146365, 680632439, 606411606, 394903405, 29973001, 332338915, 841426986, 141387984, 285691568, 811860049, 806602229, 578777525, 95815635, 161227109, 781428350, 854231576, 23801469, 864543917, 660887189, 451422782, 447030518, 910119326, 917932506, 475366017, 935026767, 913608001, 914595264, 449377033, 335530279, 341705115, 780979229, 350318685, 607278383, 698400202, 183352745, 146902547, 209548942, 610663784, 79801766, 538978216, 653239336, 107219187, 545020881, 224076956, 695982056, 87742618, 94365928, 634077828, 320742547, 550941190, 469387268, 434859837, 940940804, 678957866, 292955728, 329439289, 94333042, 278345457, 858243016, 74726194, 707721520, 460110807, 217500722, 697201353, 795924739, 135379576, 792132830, 53506081, 706117293, 751706013, 13821647, 268379239, 773264196, 572233715, 345962374, 716098664, 72810058, 115219508, 179713996, 690826061, 126084203, 382374368, 882749945, 37956358, 564365236, 614338288, 613764357, 870679107, 12376425, 168434382, 794883417, 488056334, 862867100, 483242104, 798763634, 721936784, 652827822, 511234568, 991313962, 79140652, 163227445, 689075505, 917194787, 117585392, 375780557, 420134621, 995608505, 798731199, 680162805, 614884880, 350354175, 181150062, 163607923, 917382585, 176456828, 89327578, 521373805, 549586811, 216272104, 135100940, 947323154, 867350206, 41188893, 573046386, 946791505, 737285722, 851727591, 689375699, 534315589, 611844035, 446036068, 452111465, 521643701, 65655139, 182732508, 608619692, 884164679, 897328400, 939740721, 640284550, 129663799, 346629938, 161006562, 123514654, 73507542, 249804843, 579365570, 509414053, 479731659, 382623671, 549406959, 690637795, 936974505, 518249911, 702440353, 241327875, 94487395, 659213063, 364141193, 243045103, 578343799, 90598353, 693862614, 983711303, 879863798, 390540956, 776748405, 674755168, 874775359, 22358214, 383571817, 834573462, 202108645, 81895939, 415855937, 761978991, 357768787, 332015400, 133849785, 785665519, 915741652, 675535506, 679326274, 643261894, 799176595, 358801654, 254640771, 283314552, 138850237, 471569068, 366538759, 985425824, 768587513, 610910698, 199488999, 353683990, 333592392, 290093053, 347299647, 469809681, 289830084, 162542430, 722732867, 628682119, 775480858, 349673218, 737763604, 831456733, 120341430, 215910959, 437991797, 485179003, 189904315, 993488642, 36042255, 812412062, 687118595, 8529421, 768249810, 93681710, 450102893, 220249566, 561932576, 169299630, 947933781, 335971708, 580505579, 550004833, 888462212, 359737857, 64376312, 469536041, 384547572, 107557034, 42644741, 297017776, 413152195, 78478474, 952214320, 477744252, 813747780, 132255987, 161829348, 51395914, 901969386, 192423700, 735070215, 314285496, 698468829, 465062496, 861228192, 338475080, 855228061, 7736550, 934883368, 508063109, 58713890, 191762703, 874026144, 670369127, 949152258, 100652616, 70548221, 310182480, 157702151, 999901689, 548105805, 859470440, 579517283, 358825649, 405116740, 626337972, 757382508, 144011680, 165795269, 802556541, 340161889, 348015914, 682784533, 828490878, 428968986, 418113468, 637393553, 725411757, 13548659, 362002690, 429139847, 348425250, 636322451, 582945143, 897321660, 529631104, 336098411, 496137528, 164900465, 423320754, 477961501, 44668908, 907418977, 728521159, 770626710, 920403638, 464417063, 508792848, 949424450, 99488635, 512629612, 240454553, 138726665, 226789679, 800938679, 488849372, 842984090, 44553005, 810902200, 732552831, 418376353, 436075160, 551854637, 503048867, 781633304, 993667788, 780584657, 784130396, 971831539, 35883327, 838669367, 951033573, 425174345, 203787818, 272580377, 835152899, 659034237, 36823633, 641793367, 632956764, 823884054, 746580290, 998096688, 911347749, 180845138, 200892512, 698676843, 260582752, 781079496, 590866381, 847850621, 196339713, 235713193, 757107442, 37552046, 167733476, 611061364, 994160845, 114415537, 84032915, 510959365, 280434308, 708916667, 161522109, 626460847, 85718917, 488828165, 808300872, 689398226, 410369573, 533763623, 170665233, 189016958, 729258720, 601032042, 750293129, 61096412, 917156571, 605066142, 85245862, 319848822, 321989965, 398103189, 162872728, 809066465, 757736168, 747591753, 389342377, 731672491, 578597716, 822517095, 549043907, 921753308, 443769688, 974365820, 390535126, 926832445, 120005023, 198612333, 525325127, 21124145, 345706697, 9949073, 402937373, 766685574, 388561793, 205766771, 447559887, 713710589, 84994391, 228434413, 253076567, 791207126, 552949391, 470286388, 239810609, 195885326, 197262441, 360996238, 803692993, 309023825, 693184435, 514528489, 827644232, 521273537, 157062220, 296252043, 822305091, 93250131, 403128828, 68675526, 769506427, 430238302, 794917917, 865151044, 953878432, 829424565, 806377546, 587299019, 966406670, 825700067, 264091256, 669930195, 398745721, 953747710, 157996010, 636403663, 838793796, 413445528, 687120921, 347176692, 792674522, 497887644, 556105482, 693861498, 513225677, 528589901, 860579475, 818839821, 487675286, 641146471, 158289303, 299790514, 393753590, 360355601, 466599199, 189591000, 535342059, 257048285, 159358611, 303460437, 367009393, 107551280, 421802038, 297118767, 152328438, 256688902, 914518734, 293475987, 869694362, 925004238, 766442796, 965016738, 848633193, 81050153, 300223426, 723891521, 322205414, 30423389, 758738292, 736517899, 452398732, 928965970, 858472706, 196618652, 247368082, 503402430, 698541649, 531774140, 938504533, 258381977, 587161825, 651529965, 206866593, 276307788, 870862953, 601650796, 568705991, 959896655, 982318309, 751186916, 20394769, 552104856, 49397896, 681478899, 115561957, 351365976, 30071065, 139587736, 715132944, 59899336, 350346619, 629660394, 680783567, 214138596, 788304478, 633150380, 469816614, 457406363, 625545515, 903216180, 665051278, 642997589, 963713795, 855939978, 74276671, 533230858, 178066839, 873459340, 561979550, 13331900, 634708693, 407080402, 323626175, 109595601, 188416641, 624172863, 663529773, 357165096, 538752918, 784784445, 594702965, 408656949, 176619623, 655379714, 453094052, 547583652, 185417500, 726595904, 543910805, 852072328, 968804941, 643541495, 923068653, 452598273, 829456043, 428641607, 850563715, 597047854, 482823291, 1986615, 101204923, 378072579, 634574291, 637365552, 847106000, 493365606, 631533530, 111286574, 892647978, 238382878, 820756891, 501273955, 247702653, 382115093, 420056588, 327563650, 774521635, 515066110, 226885318, 194380511, 984328133, 101462064, 60518522, 246131197, 507711586, 244974205, 777347035, 338072534, 242046448, 79045400, 318533274, 156356531, 261624662, 259403816, 661948138, 713106738, 341719040, 224307127, 207270668, 157940434, 281630398, 754900757, 188795228, 769040774, 25210163, 1866727, 419429022, 730155411, 85808304, 403759992, 556554461, 363182733, 694802732, 127461591, 405909971, 220415838, 643861437, 643684255, 49551252, 955604605, 589191119, 877864876, 841940222, 331290771, 339286015, 547248592, 680542299, 576764655, 337413066, 407647185, 691349584, 643035896, 439645541, 396047842, 549822685, 60081770, 4885345, 50686509, 179634422, 454774638, 35230731, 11058983, 857288037, 690275019, 335615786, 712340163, 436006593, 786515029, 639614649, 397311159, 972303772, 955031943, 442870665, 827744871, 7385499, 730258113, 654128782, 318070324, 770494456, 769241501, 256060216, 981842064, 698911814, 625627534, 760379056, 500499598, 967728579, 875587635, 484546148, 389717277, 807986249, 61768244, 937259428, 595592663, 608010707, 572194041, 606739403, 100542012, 52159143, 842341025, 638608345, 313796167, 470528491, 424848364, 461290502, 570020439, 626638211, 540488914, 350767983, 637427765, 626931714, 55361867, 905746813, 485376282, 224138883, 131484680, 650338724, 881099674, 26557555, 756219949, 333921261, 854779915, 652001474, 255775201, 861991627, 809320052, 203069067, 716077623, 905649538, 64678528, 959847429, 826314670, 449237136, 120389110, 192995523, 57281810, 204247889, 774800231, 473626491, 940608, 224857472, 13348333, 731593203, 772223976, 291449826, 119440279, 633537740, 309441463, 245992735, 388501055, 294202968, 735861114, 874938575, 742759489, 817000849, 454395691, 83264021, 197552580, 553167034, 427793695, 73394659, 351279521, 573711696, 183277880, 625796567, 682528352, 316545931, 76174860, 428676574, 188341959, 595079274, 464627925, 528659317, 364936675, 735352767, 326908931, 588436185, 901951792, 855485568, 319534836, 977956492, 859048557, 420977603, 53582065, 756846398, 279916768, 381674156, 381413761, 415864789, 936478592, 104412598, 309355501, 357919716, 40964196, 21584807, 601728699, 745147675, 204856002, 92635426, 761962462, 1942547, 820774103, 14861187, 269583266, 164156948, 724729398, 373786991, 326181959, 816273998, 549198235, 38279490, 870364591, 299709420, 549500468, 834220798, 349876246, 91445236, 518195064, 13434468, 337562150, 41805838, 126527149, 51050452, 964491228, 575567480, 134262383, 310993420, 317131613, 848908283, 223914060, 240451185, 498214996, 317790406, 866305505, 908477731, 652923035, 248051645, 703255713, 507823328, 537735965, 890737910, 103279416, 328446033, 985433585, 632440012, 519269640, 478605651, 942314833, 806787724, 709677464, 784521440, 502252073, 727135012, 687648214, 442299062, 615531491, 989502491, 390163500, 425447090, 287631688, 432235208, 735938202, 696264953, 636590969, 249569588, 286774297, 760009888, 436827026, 723194067, 480007887, 681399783, 202740575, 899688664, 556058674, 891898584, 748123783, 405465272, 407741421, 466621124, 172309120, 774403291, 961944585, 592405473, 467298547, 853383847, 941978152, 893300255, 620687369, 30839037, 352770182, 323976612, 520835469, 706003761, 574409077, 169133868, 945874789, 434698843, 405803923, 521639085, 73707186, 99240304, 967522279, 825059784, 222954018, 196779355, 184824774, 99522019, 326451190, 293519204, 671855378, 28764564, 153668719, 654665941, 381945801, 116621366, 183713898, 664863552, 107002452, 667375954, 417029343, 697735377, 216936739, 591451202, 869520514, 645231415, 258130042, 925293341, 381249108, 740694206, 206869671, 545012688, 299161892, 617746985, 480850909, 463773429, 205654231, 496659825, 984231702, 822439359, 838260886, 76822065, 866733944, 314972206, 448823460, 351830395, 881465901, 756325779, 965114158, 335362984, 29834908, 466593162, 59164478, 183879299, 238863544, 41605134, 813603804, 878653717, 610770413, 184228362, 216341402, 375448108, 636458846, 770577601, 644626290, 404446022, 101018315, 552553220, 30105501, 17394695, 462532140, 651548338, 510483511, 421638119, 662435694, 42502735, 756582540, 257586193, 1120856, 299442172, 846095275, 884920547, 52191460, 815226793, 86101301, 22703951, 806685882, 860505256, 400668135, 190554048, 355990246, 238986754, 731767318, 183358634, 420481201, 272673260, 647645097, 215410417, 797356287, 651070455, 244978850, 714449227, 182150862, 714744241, 837805117, 453238590, 952955294, 415591901, 67705919, 567062673, 614226777, 28324755, 391773113, 358402249, 199528943, 621010078, 204821371, 158010766, 995981778, 824814812, 573821004, 987384412, 697117950, 21810646, 157263348, 602181950, 42212843, 780492129, 677076333, 567631483, 951928214, 678632466, 745187481, 944049415, 722570609, 31692486, 748365174, 70597322, 360698118, 999477667, 999623181, 765129745, 81984627, 799846627, 6052048, 468346676, 413093862, 438955516, 935250007, 854924495, 196020289, 345402354, 559528841, 646906903, 897692032, 166948615, 255819755, 124726623, 898212259, 625751524, 954171620, 923731864, 348854930, 245872142, 235150186, 161440713, 744723326, 683903602, 447172834, 268223520, 476030877, 604620590, 324388620, 78732012, 941526750, 7493642, 170215645, 549190057, 618558139, 790407029, 825905118, 139316406, 21430402, 955531943, 193384917, 247030879, 815397728, 439635568, 422197954, 348005127, 185400353, 696873564, 518322974, 902133451, 116211698, 349127787, 340508421, 915965026, 487662374, 884233003, 823298880, 17512240, 84406226, 890615591, 865267167, 604283314, 254801352, 805296851, 298910890, 911728361, 918359488, 418680928, 596406212, 241470439, 571501938, 269776317, 859794168, 817962378, 482400590, 870646933, 725326923, 64827121, 837655454, 74307807, 494278614, 453054338, 307221158, 807983520, 979804374, 958278003, 712582424, 77659347, 202008235, 360233855, 902976981, 443300704, 32601444, 683298649, 277301826, 400389898, 647484184, 316379672, 105884113, 849961529, 794697910, 996518209, 181467390, 905116426, 635563891, 124493246, 223739341, 778040499, 589924308, 88203762, 861723630, 139852258, 799117365, 593646089, 286390349, 668617052, 641880867, 852910779, 704487390, 410436273, 170828481, 300519316, 164830587, 550310190, 785571164, 515854907, 169529477, 94657699, 626232561, 616493450, 662799039, 535079643, 479967197, 282492320, 591402845, 295153195, 356681586, 355540432, 459626601, 133188119, 396482749, 178283259, 552832654, 449983996, 217460395, 746851968, 257124923, 495687830, 405330539, 943979909, 569314072, 348741175, 445790424, 426425461, 812415823, 373113859, 648625232, 323649560, 717971412, 508128002, 684143970, 684894619, 943251705, 353026981, 934003226, 963917732, 845494080, 187195396, 67510256, 749102773, 983731203, 793982308, 565363347, 661434929, 285118853, 530731415, 595942855, 566621540, 207724688, 63778788, 368453951, 666504136, 402971260, 261100035, 982027923, 142821207, 730819813, 802334156, 239515079, 654215244, 488790154, 872739367, 848804878, 214573678, 420060371, 370133908, 636281155, 707747597, 350758953, 629642806, 490543288, 870981091, 993781203, 678003313, 213295192, 386317842, 764992044, 99068162, 911615970, 56288790, 723673829, 118175837, 66203249, 872679598, 221827199, 705666830, 759131658, 461146682, 535628211, 177757143, 614537836, 206340788, 914621301, 251295314, 65201599, 595527269, 948960412, 258392481, 420867790, 141651288, 884833983, 25376583, 641429607, 447336962, 226608234, 672745827, 299559484, 365884605, 437242125, 863893737, 437601286, 154345172, 681864582, 41077535, 493008373, 331338726, 533888521, 359072508, 66647170, 697300059, 780522963, 410854724, 535420603, 403088422, 452040112, 238050015, 563056444, 84422239, 312439908, 659293756, 474660926, 731297508, 296456749, 601753030, 38097459, 75449987, 89081386, 309459657, 793655534, 834882344, 770027384, 993982708, 731462191, 542155109, 955301608, 100736504, 725832879, 811787170, 708506823, 82290325, 516609376, 167515743, 795620762, 892909073, 460790121, 930327207, 929740875, 586030266, 569297038, 728696756, 786978436, 386346956, 935499785, 119598238, 546795687, 388091327, 468041255, 305051712, 201926418, 258335880, 791379428, 937858705, 119576645, 850751491, 170073556, 87811692, 853232848, 859171186, 950999820, 988599284, 916675203, 107047129, 373167657, 715060300, 874895022, 546471259, 251447810, 773293686, 740245499, 294668424, 189622522, 777450492, 565953524, 93868385, 398804669, 253188147, 222557214, 649358746, 908108667, 912255850, 615921829, 201474062, 192987479, 362394321, 58441155, 88223718, 874483960, 628014592, 962289441, 163385815, 708857398, 809191891, 866445040, 397903745, 983473644, 402241624, 828792145, 486596400, 559587476, 118370443, 348603309, 966883568, 18832078, 882909634, 299623094, 201001266, 549855166, 446064608, 927454286, 721649964, 263384516, 489301635, 490149406, 407361119, 294828795, 805228392, 357399330, 865570098, 615893508, 402982092, 237427321, 427169299, 629400991, 158704132, 668050172, 334475571, 33044653, 338937952, 993744503, 130325132, 814317635, 610759951, 264649186, 748838775, 223878670, 392482284, 635614465, 737961407, 529358376, 40569051, 687273491, 104821368, 970442312, 511678973, 687201125, 647451501, 81545610, 577143112, 21352551, 289136454, 932192977, 862009622, 513073827, 324994475, 997768798, 384931040, 612362579, 935970488, 969580199, 564009628, 449684679, 508115807, 995217219, 137926574, 875838, 746776608, 845361793, 264431007, 65771898, 111094216, 376216731, 887107839, 348982427, 643239556, 558353955, 914246203, 364842510, 231662968, 614826001, 334097430, 249464628, 435587383, 703981914, 249150630, 673502830, 450434060, 75242863, 431832606, 779735110, 66525468, 418286519, 687317763, 529225040, 816243581, 960509130, 499660210, 33841660, 991925104, 889416294, 533442087, 663175676, 718665176, 708847948, 614539213, 234965634, 112852141, 351482105, 832271554, 544950470, 959164750, 164797156, 466443387, 64837782, 530635696, 881416619, 881953601, 298341641, 710538, 210957201, 542877794, 728265041, 192582118, 405769326, 782441828, 680232586, 137265680, 234058360, 269340739, 378189525, 50760879, 940926474, 811087380, 352693930, 365609301, 633493528, 581002602, 54807765, 509955028, 9717398, 521024770, 71555321, 308381735, 452347982, 807264948, 743143340, 624227361, 905902175, 307338869, 266317631, 269951747, 187089974, 165207846, 345022355, 429425690, 312036865, 435928981, 502335405, 283890247, 287137777, 57517898, 599517561, 375655146, 863017980, 476518045, 242146776, 968092120, 547030188, 944465553, 131255512, 24416377, 254044389, 27746910, 666994139, 897738149, 372079735, 477768531, 607598911, 756223245, 577641394, 476449419, 292125690, 995512346, 478436449, 732357130, 181795980, 822786917, 721908181, 11638156, 57110056, 92301093, 849998922, 987470243, 761282106, 781743430, 83240174, 372913455, 500034957, 829088729, 81412915, 676930845, 190676278, 90268180, 272121322, 386362265, 573545795, 672064573, 346582784, 648847965, 833543399, 895147244, 697062775, 745934085, 211258423, 87874342, 198966368, 485916659, 837616954, 802264239, 817153251, 20066946, 674628906, 457594135, 476108039, 790843552, 221717758, 93183170, 515191374, 641067873, 977920322, 861993442, 39954598, 90302687, 92950441, 22716925, 896355875, 286603447, 222348982, 452913621, 786497472, 663687048, 661058210, 352169058, 927399381, 883684554, 536411055, 314569678, 264898228, 997748824, 566238113, 400382602, 822568438, 787125147, 422038355, 113326691, 718140328, 268292764, 783032651, 517884825, 35479189, 944057781, 63163324, 150928674, 223537025, 915418679, 478282252, 812868516, 179652820, 156745736, 842559433, 890400142, 835460258, 102642454, 336437874, 374840362, 241590919, 138497942, 871296897, 494769491, 969111084, 331841604, 331281274, 479256783, 359044995, 123894304, 728943460, 21169780, 416441296, 310762961, 266626659, 578540207, 792745873, 283886915, 709856079, 355357976, 884750802, 292463515, 318123905, 610712921, 493840386, 333691994, 671148244, 146589535, 869892464, 191850076, 579549964, 43475329, 432200920, 24292317, 558339244, 731656332, 994386812, 599595585, 73153628, 23808289, 193257072, 463418980, 950658287, 843689224, 55726030, 189286443, 104900285, 321100852, 416779643, 420983660, 432560635, 424511022, 102631877, 142954956, 622379660, 477373132, 83126060, 619590981, 310435279, 329029244, 545463241, 263895751, 745227508, 548394391, 273287013, 211182312, 523893355, 342134792, 60323578, 787960930, 957963285, 415894351, 480474271, 39937509, 575189254, 669374958, 968094784, 547552992, 858847361, 667452881, 281871376, 163826094, 510884493, 954650183, 947669366, 50296031, 620295390, 676469969, 491971703, 799707091, 577189390, 533890926, 289047434, 160130012, 135880570, 47611469, 205903845, 374156995, 175352630, 786663697, 811184709, 669071438, 120812354, 592516269, 464179584, 496219092, 819482897, 149826, 834561728, 360348495, 415898783, 874589754, 272300199, 577836254, 733936039, 185619139, 258588542, 336550260, 330050257, 993850159, 895112162, 122655187, 638121265, 446489750, 217034251, 14000894, 471375648, 264013044, 633207826, 475102954, 731243149, 538400443, 674447007, 519714318, 132424151, 451262994, 581274178, 132132220, 868504934, 773056353, 292831174, 109554198, 218795782, 133977113, 764110893, 437633544, 753765546, 960749520, 492705857, 475089306, 125296608, 874795965, 910174584, 433585047, 683077291, 793491455, 480475855, 838906714, 315895210, 587750029, 624683692, 458105748, 368045077, 631559501, 55626372, 119613622, 518392998, 107077433, 580050306, 157010649, 452346915, 290972855, 797180856, 642803651, 78861598, 410299541, 676339401, 609428236, 529899442, 107930697, 896460612, 643692798, 685310721, 78143919, 305661872, 567281944, 355533221, 601633797, 731257558, 904482032, 621752597, 281613384, 975054439, 595804854, 133558746, 662307231, 408399836, 335443417, 292310620, 790240786, 923007248, 963960720, 143459535, 373738661, 770154283, 681835186, 685061352, 905923434, 364877070, 557307237, 64918172, 928395802, 417383317, 597488685, 501882731, 191843314, 669660295, 694188187, 488382343, 958488595, 570151466, 627306890, 843506122, 652692384, 951788617, 227108822, 270705232, 116927678, 214282671, 660713160, 737415375, 649443440, 105518385, 887892388, 121290394, 744091652, 202059305, 629066638, 15248679, 80635262, 10129406, 471937663, 675663164, 941214445, 568850960, 391948828, 974991748, 388887006, 591474058, 868642298, 760461398, 612635114, 410281975, 468319238, 242571514, 293037455, 901659583, 177673801, 157032141, 570494763, 951081458, 791488299, 607269806, 196521820, 13028193, 786192772, 666243968, 669056077, 134871770, 357027376, 270541314, 706978469, 191091842, 394562, 642474268, 433505198, 700652574, 15354129, 698273743, 762674082, 90624117, 562501204, 494702268, 654764373, 930310624, 688592943, 468379023, 436049988, 939204784, 6530753, 514825246, 487790274, 198797955, 553933198, 528620934, 773430805, 837755737, 391007660, 632532295, 761891675, 150092795, 381368940, 318991230, 171025072, 845562953, 730725629, 484730114, 603293301, 315529891, 563655244, 759901611, 874116945, 57938538, 114771320, 765461586, 626932627, 710921135, 644784826, 86042666, 137278669, 83361654, 995964643, 926456340, 909280831, 928452094, 154656350, 21134999, 438211404, 704898417, 877415759, 127540641, 250620110, 804887431, 287654435, 770356823, 135561708, 970622941, 715418108, 436001010, 404439384, 285331260, 763985492, 358583576, 81914602, 810188066, 850445794, 971868069, 807230530, 463848052, 864504373, 562647675, 663400509, 185958221, 729360437, 367263221, 683916250, 965886033, 482807872, 831468009, 277306046, 798406773, 923997682, 901009575, 129268485, 842744251, 854262137, 397322924, 572531462, 553275116, 178952502, 425000487, 30656773, 716222745, 782806760, 223738316, 307156465, 546301665, 34747332, 983207427, 446760138, 19063006, 251226809, 339004060, 578091948, 738293391, 188562820, 218720029, 493013997, 236525971, 471837947, 896092249, 541262630, 657866345, 412641154, 877499764, 676687754, 20946553, 725506496, 179760451, 677960508, 767526241, 272464941, 723208292, 418785985, 645692978, 772527166, 64512562, 701943177, 735147988, 464201129, 672096903, 523978270, 302739430, 702352268, 956226739, 853744807, 601800954, 429775483, 302195939, 403098076, 946103790, 647765396, 958815717, 724798259, 313844636, 334318383, 360680037, 2061090, 798117832, 300817477, 353877021, 871744128, 988669104, 792651874, 86512063, 379759269, 774950713, 323678935, 430910761, 254592656, 317173052, 927947213, 712193956, 291985166, 338105252, 71800003, 50341887, 716403861, 670889109, 987200169, 684733263, 741264568, 751010811, 454250587, 137178579, 624078895, 438595107, 759615112, 754699154, 431710698, 576281792, 750443356, 41483759, 270981464, 319460153, 826811633, 273976076, 83341164, 854777148, 436448978, 575354680, 974115490, 569844915, 766294145, 378962412, 361616819, 440680357, 64187451, 337382004, 833062494, 441846476, 157484985, 552415012, 515661682, 626058226, 693849619, 374053100, 640756661, 139050982, 257178186, 274742761, 562122980, 805007554, 487931242, 958571550, 628889036, 718537940, 980204217, 418184612, 40399852, 416859409, 157870920, 765425759, 551526252, 617064916, 995107430, 286895937, 457565676, 657249525, 491344066, 649811719, 821511820, 416599311, 669512085, 554766925, 956593690, 983458172, 90990257, 333150211, 64283379, 24469475, 433292533, 778359767, 899080160, 905192624, 817510956, 401406437, 529411953, 214099599, 166660819, 265658323, 26813526, 977312081, 70889095, 235613772, 813073025, 5618071, 228643598, 833240330, 607812331, 164983524, 214399518, 928440313, 868067104, 315385065, 554387895, 157948515, 606775793, 760770743, 769162754, 877587914, 7774152, 7435486, 662408372, 348924930, 258591288, 975976107, 47897164, 210586480, 232349428, 845800257, 432247724, 933767689, 154733781, 480545675, 679863681, 656975482, 499633189, 984350878, 228601524, 29922699, 637836072, 770639004, 381478937, 92169866, 807321359, 867416585, 701645679, 240185285, 562359027, 370303786, 176836115, 300201500, 59522069, 111006542, 944176246, 691163989, 412196690, 754263748, 443437086, 961809391, 947745991, 427954887, 749270821, 704944212, 597971956, 884659575, 389240365, 704854353, 928655728, 690567056, 272675145, 552333625, 197195349, 251867375, 443389522, 698191959, 305568431, 576399440, 261128024, 728895785, 823396379, 509847676, 976331384, 963180665, 48525314, 309623821, 923180047, 77199751, 582866991, 710144196, 50500759, 52743915, 982099393, 195620625, 405815325, 868401873, 336709152, 709687310, 665566146, 301508781, 579356845, 555495768, 898419305, 856607270, 458608773, 475966907, 303602865, 860265298, 648514527, 246234031, 838773220, 223639309, 18549294, 947052788, 643107995, 312196267, 825188550, 164820723, 270995346, 820904731, 723942066, 808953407, 599764702, 626516253, 318850163, 506742940, 180558837, 983897664, 264391, 682261908, 528161276, 553996973, 672358721, 859184329, 671139888, 132256043, 418878605, 180884989, 255762396, 108799393, 216622377, 639362489, 320679022, 620301200, 817862365, 73539363, 309126805, 267246959, 228729277, 56015486, 735242545, 937683125, 514479349, 978730922, 426539184, 238391222, 568436311, 626427868, 685853562, 738031463, 983684284, 89130836, 728076735, 516368709, 120827997, 548325659, 324866115, 522712735, 62470303, 537559197, 557300356, 934414758, 387716446, 759645631, 770673358, 303655540, 75097143, 265709865, 159903686, 392966307, 829498418, 745647466, 749254045, 646495089, 763707743, 164367566, 680657696, 412854443, 564543987, 90637367, 476159695, 376359552, 656116363, 228436955, 308256470, 502213541, 381142232, 214743447, 924201669, 78770513, 35192569, 587451154, 129014820, 239733475, 85276129, 329932595, 282263208, 499168227, 230673733, 768055604, 695690661, 630475731, 220345679, 520850288, 355730165, 822751393, 119315243, 637584096, 804635523, 125723704, 993338767, 534706595, 626227568, 129394665, 933096485, 675614175, 528012254, 528829764, 440356699, 861620640, 800570790, 474536658, 572553330, 456018997, 770426851, 257097265, 120855013, 613808747, 186425409, 193379232, 777107268, 87760798, 172447934, 632791583, 794504621, 775507241, 568513299, 85889541, 94645910, 381612925, 339421605, 788197974, 87242643, 749224336, 702341321, 932525404, 692065248, 905364761, 469232743, 901631336, 157028677, 654336264, 754060682, 31378041, 433981990, 134806524, 450429820, 332507924, 965868757, 704973519, 578736630, 121175574, 217441261, 357802894, 416718303, 651287470, 271826232, 361013289, 515375746, 550840777, 575142297, 79452488, 194833805, 378537188, 478810809, 393993587, 352460233, 294921782, 235215229, 853171295, 241866480, 831768803, 172136107, 33457120, 474905737, 129031101, 567950290, 153504067, 338823888, 319798907, 170467449, 19961707, 628457446, 188999691, 72299454, 511911967, 741613504, 920446432, 305785003, 754075144, 88848820, 68653229, 850025767, 447973432, 509195717, 384195112, 350775823, 400191910, 189368300, 738340611, 29238337, 120990980, 739495296, 783067611, 506751270, 789944625, 499363333, 774686812, 568852585, 207383033, 146185968, 678750209, 84831626, 560681006, 66076541, 499746387, 588246736, 166190490, 277755270, 363383669, 699064161, 662034583, 578325095, 812931644, 739647188, 164794106, 443969266, 215550455, 981166585, 330453478, 724789723, 615488304, 453463376, 2070371, 932412374, 59326196, 830444363, 447671647, 88240155, 382165641, 123782909, 793603213, 394214310, 809516842, 746342753, 365953881, 715766783, 980297287, 945668379, 802367388, 620607905, 874994999, 334489774, 679090361, 526259593, 238380034, 631112746, 818755364, 817148816, 485987029, 211499843, 63848296, 828794563, 155693687, 655730978, 156583225, 30968629, 69539646, 541665059, 331063865, 820811078, 865160957, 787270456, 333354266, 253557198, 190838252, 725001830, 240579638, 258011269, 964012313, 702574204, 378989479, 189374945, 145372992, 131641654, 841867535, 658488353, 779330400, 544694757, 114583305, 866204967, 827068725, 100770317, 710033869, 768708024, 701958239, 746547016, 323144478, 882972776, 414994744, 514812430, 731318627, 40617318, 74997752, 850396485, 782670477, 405241392, 524078426, 526938691, 617624754, 797753001, 408285259, 764596161, 598974966, 205542371, 276590592, 125503640, 143306851, 727055448, 389701112, 713180217, 48576593, 91709946, 56250850, 944810540, 242415272, 919659701, 822059745, 743090178, 762423598, 380285506, 523838421, 853246105, 340517917, 740144783, 37582462, 9229653, 817668189, 516410136, 525423270, 652885243, 365469500, 108282810, 50796708, 772605448, 477267927, 304509581, 472399243, 390492548, 734730768, 834399943, 400571697, 795142052, 807807303, 797922871, 260619428, 454133868, 145035139, 356117145, 847036660, 853778140, 303013438, 611694832, 652947404, 552372237, 135955387, 294188084, 696199456, 211608499, 166693975, 720450779, 607763608, 283202868, 951750590, 613964580, 207703526, 388212826, 348259036, 890213780, 246383242, 757050714, 830807191, 740006335, 613084832, 794458747, 818208460, 447915125, 473442687, 384057193, 910066830, 998487408, 69560391, 56847170, 643190245, 747077656, 332447026, 94075813, 561271042, 765222756, 330595912, 241283819, 750696172, 833877887, 341347216, 589373837, 447747922, 466719938, 286501838, 415157405, 654323175, 339406409, 694699051, 740171585, 340701794, 341947345, 500777718, 267610730, 919930709, 436667296, 24737943, 167094743, 640102068, 246259531, 573000117, 315299327, 536261878, 813573916, 65177949, 950279972, 820455868, 11599820, 435261814, 716812237, 956836295, 323568640, 241366397, 963495805, 127701176, 762541479, 615028171, 752788501, 823037906, 535372959, 385635106, 941936765, 318492717, 906391237, 785422647, 518134527, 787851504, 409102412, 39661327, 893090327, 493629644, 393201140, 618250836, 674692266, 388949077, 357859741, 673349140, 130821281, 552431869, 682941580, 776818990, 830456594, 571540892, 557365895, 271083551, 569902777, 295687509, 421540897, 412008793, 838523779, 390644604, 326196112, 922133105, 768081750, 891832047, 479048029, 663935615, 227745053, 220025048, 269045687, 353428895, 631663339, 114347252, 916950203, 264040959, 30253368, 346399737, 548830616, 496868496, 552711987, 116460721, 418887541, 344223934, 153831484, 710695126, 71384069, 180529339, 461483144, 940538449, 973861150, 255801366, 59765487, 864272275, 740423831, 42050439, 951967505, 504112793, 47731860, 176674232, 991339871, 266543875, 339820313, 731818878, 594834983, 4232530, 542317995, 359657200, 898200644, 636109328, 968503921, 875234670, 192146770, 442374890, 648519369, 755991595, 293296620, 895802621, 224497175, 917251986, 82018717, 793558114, 178713476, 578505896, 944636983, 72635932, 558066699, 691552885, 114797461, 206504307, 469539168, 541946627, 173464713, 432691088, 706226817, 142594280, 415117581, 804383853, 277002786, 496767343, 49241848, 738120105, 660826332, 489747157, 619556203, 693661936, 982104718, 301246684, 67291404, 145435718, 347119917, 75356399, 826771875, 736754953, 909241257, 482099288, 302243390, 514153785, 930001605, 452239107, 740712008, 696123907, 688364320, 622207635, 224353619, 185647226, 320094234, 871637084, 836218802, 592431428, 976226949, 254769093, 840691108, 939013398, 757170812, 49920838, 461621542, 473655048, 946427983, 945983065, 190769907, 501401760, 798174723, 601062662, 718030365, 197453090, 121162742, 737954930, 8834615, 66246298, 960354104, 669008526, 277585720, 84372118, 268150528, 736902085, 627948284, 949265932, 692552235, 443631945, 426175261, 406093711, 227739831, 569276031, 603168124, 847264773, 46771623, 440960572, 146935725, 47566620, 974152036, 116642530, 482593735, 392417265, 882243715, 615450320, 414988271, 2683349, 206210938, 252986277, 971556828, 450765916, 94338953, 783564849, 45777331, 314889374, 993437809, 444149648, 863650596, 259688741, 54993000, 511577082, 641380806, 485724663, 844553945, 35047955, 161530303, 197715767, 701642456, 361862667, 275478806, 411810330, 373094668, 197505874, 76494714, 394072504, 775781758, 718173692, 691782715, 97774777, 503721370, 635471307, 800040117, 125790047, 441886482, 439997603, 362781875, 560173444, 226771493, 357597773, 158841958, 775624462, 850108805, 138028998, 872086520, 411647263, 189855650, 921366847, 125794398, 979671301, 568808402, 514003137, 503436421, 763545728, 487985427, 121016482, 971008275, 998457882, 463098070, 797622187, 388014247, 120092830, 13125268, 742198069, 900895696, 567201212, 802758118, 36535572, 264848536, 229680934, 903770651, 934678501, 787889262, 922721447, 696521730, 471723727, 580540076, 98095217, 12510537, 734070487, 946148440, 971816548, 263447197, 403698583, 855959995, 622098730, 70828604, 61663901, 213068000, 778597684, 724305004, 372135378, 354375894, 132322774, 902552158, 644293518, 961820461, 199356169, 698057494, 71784317, 837261961, 345091016, 140572634, 619753287, 532818259, 334113120, 529006482, 726758966, 4930115, 370581302, 476595119, 184647591, 454973618, 699367749, 729145937, 153796152, 620393255, 587707207, 583575290, 386277986, 486557842, 427519961, 240978444, 802993269, 250205064, 483008330, 597950406, 747600557, 325363856, 714091827, 659075588, 976147334, 285391461, 598305690, 714577857, 319803889, 254409672, 167272662, 384718163, 266435481, 677935561, 607185653, 728451121, 865092691, 656317974, 745906660, 926807883, 90386292, 187512202, 524904460, 673427954, 368868331, 943167273, 210785892, 16896793, 658987006, 994453986, 760808677, 173299866, 931638751, 965249567, 39605288, 564994334, 368975951, 267391626, 403789301, 866065923, 263576992, 945671397, 177687995, 800503228, 210543073, 498365183, 279793182, 475207258, 632634543, 725194197, 357223271, 731568704, 143836833, 576631554, 689795641, 919662204, 183655, 316612381, 46825941, 322355614, 34488804, 482706850, 90341229, 809681891, 600647741, 53069606, 145608798, 44125849, 313787926, 615459747, 779761832, 281126837, 98615617, 448752259, 664304567, 463324195, 859643897, 98720709, 977529450, 571637553, 573658838, 948372675, 417078080, 879461418, 191514336, 447941796, 975539007, 169235073, 487596182, 36637418, 332545134, 298746872, 402930566, 994736910, 283072560, 400730249, 761438065, 644786584, 29655238, 617835034, 397623969, 754305774, 273669566, 276170216, 269366314, 525406669, 174868278, 344346251, 44290543, 499417720, 273840589, 195390389, 771829551, 853074494, 834188073, 318726513, 890754068, 819911938, 507856531, 394697742, 253473821, 840456037, 682395194, 109257200, 201434541, 675903596, 132318071, 569238123, 401514312, 237857056, 47899593, 530329021, 66587919, 607980289, 943743783, 660647622, 125240556, 833033359, 20879481, 316011758, 282379425, 733202365, 956598237, 223601523, 987388331, 478723707, 198120656, 134684419, 54608638, 837211336, 616688894, 60492843, 622942063, 494984705, 419285621, 120903664, 814639775, 367083861, 705417247, 517335123, 812935726, 86328936, 854663334, 719744044, 977314129, 534515935, 334044293, 904008788, 636513550, 684535717, 987146489, 790770855, 183697750, 60642934, 473029999, 925098145, 942727397, 830620864, 628535409, 365495442, 23579478, 938238478, 37037127, 482169318, 812731234, 750484607, 424072242, 587798654, 497045282, 436932020, 596448266, 397906922, 467677202, 94204822, 157598642, 509154619, 754158848, 533615797, 411708975, 970909222, 404118645, 90424160, 53802023, 407497094, 193588183, 264813407, 905535223, 142837909, 702969027, 302159885, 71492777, 121249047, 171403688, 738635662, 91550264, 114041934, 380660620, 453137966, 854282160, 616102928, 828721970, 82620218, 79293304, 667289657, 160763354, 242836965, 664396273, 645312548, 664565492, 25299864, 838788602, 769948258, 522503714, 241285854, 709512925, 562834801, 408634499, 219600070, 640090758, 719672645, 925737998, 603961365, 306362643, 998369759, 76984956, 180112670, 711717936, 506822425, 644197780, 26695985, 736398046, 13136100, 871344448, 78055788, 858357727, 309141568, 773209331, 214395283, 335746968, 632114367, 276424147, 584174063, 350709, 520808353, 255093840, 540916492, 32953454, 989696566, 305986684, 307110152, 75617259, 999326356, 924394448, 698083305, 58151588, 313331750, 262090258, 346811462, 493143959, 258087748, 86988624, 543913712, 511797185, 478061604, 790614686, 958231295, 304918581, 506503807, 810240101, 328398092, 751508354, 364786931, 875842830, 166792095, 797655638, 366956300, 15539360, 85122050, 901107652, 822247340, 43025268, 929034529, 821695403, 308031946, 383380379, 660085896, 824968768, 171764404, 254548074, 204692456, 895247031, 873779609, 636622724, 343888054, 126004981, 106935807, 722520912, 176677929, 133935323, 989702312, 482032411, 671433588, 682530274, 135313599, 236700108, 169560702, 123823956, 270070055, 276472440, 596874386, 470835763, 717099065, 832199412, 953909678, 168447365, 55892528, 8845059, 407620328, 17936881, 633218755, 708821998, 254034632, 528085081, 935365319, 667738721, 944139384, 488145296, 935738349, 738989535, 753761734, 403003964, 91286555, 385358154, 38749192, 712210471, 387212941, 403579589, 356141729, 45881281, 171984323, 423765853, 768586751, 805192543, 673377760, 112401658, 808373577, 393081051, 122283982, 608559886, 509505249, 717361317, 189959413, 441695428, 931245005, 236317038, 645179480, 262664709, 459901875, 91090898, 972824469, 699220199, 777212786, 326820901, 171464291, 478966832, 918927359, 786456261, 77971979, 958948872, 594163724, 924473700, 70660433, 146364205, 226797256, 832094353, 341955006, 626646471, 577369989, 93326990, 843001495, 705656119, 960002666, 4356773, 142809875, 514159560, 889593985, 923753210, 802897926, 241764091, 262905339, 131674907, 224035980, 830177297, 146305020, 477767685, 719967443, 747045233, 65666992, 768195689, 101148134, 891421381, 851717209, 469088910, 463941425, 144432347, 474336389, 676615632, 390917048, 605723383, 736168898, 533814977, 4794081, 531811175, 925364631, 311467691, 603357470, 608856729, 40693242, 246151749, 237233762, 525268648, 124349391, 522733058, 666762623, 188553158, 851878623, 90073999, 132710109, 587906991, 677829666, 273051604, 92364039, 693148997, 134060127, 244953437, 638068087, 958503460, 922497660, 655065820, 406629054, 865140342, 840974530, 702276776, 965557832, 928280891, 973110827, 33447554, 452905811, 244362347, 901501694, 103453403, 201970632, 798508057, 627789079, 51871658, 533425628, 649202399, 797043496, 207882677, 403358293, 197260099, 970025602, 711565081, 461638717, 832407164, 777578330, 386163809, 116738539, 798073860, 863808317, 195663879, 126580199, 561751114, 854953612, 366993396, 765702162, 808450406, 759572885, 866339587, 317298913, 675289622, 692647873, 813044271, 687063064, 920108553, 715129660, 209941279, 761292060, 320233262, 459045570, 802653486, 280565996, 276945184, 56896188, 167244773, 725350932, 406158200, 296397794, 380666997, 439687820, 800992687, 476737244, 880157971, 533060156, 290349059, 548966754, 781801049, 838142882, 207005401, 630918026, 112355534, 519450726, 367473778, 66613053, 116230427, 566184635, 531975831, 88654218, 853222831, 4396776, 726565057, 357806781, 422148525, 306591792, 940264374, 592055167, 191720836, 779923854, 286151146, 711343862, 868508382, 62748734, 128986615, 817885888, 147384863, 83944398, 217487609, 892110200, 765627041, 524950352, 893703810, 337177738, 912328193, 747537195, 71405405, 18453709, 195780796, 653911058, 201681830, 758887299, 888212776, 175779142, 296353428, 575424861, 631417042, 555263824, 677847692, 698120073, 498265003, 887937440, 430544801, 251662914, 817557584, 559165194, 363749127, 299846644, 664399656, 336631637, 142555285, 965530742, 905167468, 952188964, 180611355, 417498642, 455031791, 61971192, 728565565, 586993971, 510700007, 618589664, 285241967, 97291780, 632816648, 618311458, 657632391, 116599784, 5886959, 917146117, 714831549, 755982023, 67413985, 63826797, 657879185, 267171024, 207887739, 415794080, 565934381, 866043552, 137471223, 427503863, 884002504, 249689425, 909848372, 141956628, 404575354, 559918570, 332641892, 440201103, 66028444, 273313981, 284013482, 510839458, 658268332, 615341922, 894046904, 141014936, 871817922, 281786552, 444243681, 844840386, 889945049, 257157160, 228010294, 136163350, 874200220, 506571701, 777117411, 737180102, 96122604, 662876096, 593652964, 979885136, 184589576, 202746214, 161682401, 255958520, 527477664, 241528992, 915915394, 335020572, 442397426, 328583980, 216931542, 22998540, 358662633, 301314580, 640964851, 218625097, 745960127, 580122997, 757515914, 261046391, 846235486, 430115019, 813461000, 820463463, 1929040, 843145538, 663116857, 843096378, 824694590, 970130625, 942720485, 350046942, 141846927, 328799506, 217513224, 86446562, 364170264, 345974801, 33842698, 120880123, 138611725, 548355287, 558381316, 919355445, 981247239, 312592235, 221909417, 693788186, 149252587, 910924303, 225485747, 574624352, 878627345, 594284807, 871200859, 104810785, 122788955, 946440856, 543083580, 676691983, 886900657, 223278693, 268268923, 293530436, 561399405, 891024856, 474285982, 764383440, 925449240, 702031161, 567167411, 591441162, 455813745, 196450732, 13926343, 646321674, 663825397, 306364896, 127689541, 378151221, 67498553, 405065211, 997107842, 865901382, 168009018, 125521549, 363443057, 649037047, 192904063, 436171489, 783865448, 874487710, 806586006, 362022091, 477481399, 220411427, 758943254, 204097643, 501293845, 941281494, 280366944, 708077402, 430490432, 349050704, 762252662, 936373141, 60953542, 695036784, 425258089, 688105496, 706092706, 278381003, 968195893, 169161628, 647738606, 622415018, 860527044, 689307198, 557912272, 82363822, 684651647, 922045945, 3862342, 886320864, 521905316, 192004635, 353312548, 413878723, 373106662, 796255747, 233625552, 717664035, 869043114, 188544811, 162106928, 667043603, 20382320, 644230476, 460580417, 7100485, 624656868, 709442995, 871850262, 146332367, 789725442, 454983443, 711706781, 627361186, 859000991, 538990216, 775780173, 31338284, 153640275, 441116054, 943769232, 277869641, 797112129, 933275628, 855948279, 42060805, 689069488, 629900443, 717193998, 436560729, 448343139, 10312445, 864818015, 95866923, 832918554, 736146622, 880846200, 277176931, 163201971, 857946602, 747288259, 855504302, 670845777, 928539720, 570843428, 665374297, 111809093, 415956067, 163814542, 118258118, 111308151, 160314365, 752782619, 686460220, 175198008, 312550097, 679103015, 186852356, 435196326, 46354963, 388856336, 964103187, 861256268, 50518654, 86269283, 115626389, 806785080, 301047035, 383844971, 125947306, 899279409, 945307423, 5739043, 883488201, 534802403, 775215354, 63966579, 599192849, 788857250, 360694362, 794794544, 136291099, 976592327, 691148717, 728791559, 202117875, 682638723, 856174395, 841618967, 35160986, 848298868, 430247350, 208521078, 548246469, 129406116, 39217090, 746090086, 725115926, 103270647, 8883840, 292323072, 692076177, 615438959, 624303420, 663273315, 619933595, 408635662, 916075117, 748977808, 260208738, 229202452, 415068590, 407693135, 824212119, 803779068, 662483015, 929718523, 43933125, 71579431, 691487081, 105926572, 137977399, 743229996, 856506178, 44452046, 710948240, 84072192, 798186365, 561456417, 61039087, 66028835, 419922872, 99459129, 96646445, 425212477, 230446082, 859032424, 289708293, 667894012, 935884271, 959190179, 647428446, 403882521, 477780539, 597692972, 232011832, 447977636, 431938210, 4958356, 518590152, 531601520, 707691184, 581006853, 890391386, 4494027, 821736478, 644106809, 778226675, 747937442, 674199528, 490845203, 148826883, 60878299, 340576886, 344476046, 755287265, 61609844, 308388196, 53430227, 897523250, 453373177, 347813467, 946351202, 52808567, 526427973, 829903057, 287693934, 605368989, 291086852, 169364425, 697700082, 687482886, 728527912, 855164673, 330022318, 357869124, 979284614, 17575106, 376222728, 627951343, 910844342, 844891587, 173732075, 720061065, 272081137, 604139347, 856671027, 482750862, 858270082, 691357368, 734033286, 147862489, 657680671, 551592220, 143938066, 56783701, 425904374, 727944137, 45130029, 463603522, 771993089, 335763483, 262988327, 830278861, 589300751, 49276646, 787053440, 916767116, 556477467, 279398732, 86106663, 444731550, 709853534, 526350328, 760982524, 882767931, 142955184, 450971935, 297860941, 501021150, 382902277, 646358976, 63758878, 73489725, 590401350, 826114915, 366459765, 931467601, 269945193, 861598786, 441548036, 365765743, 426482712, 907637041, 651891592, 35490857, 537273575, 405614374, 958181812, 138170890, 632810746, 233756611, 242083586, 733708323, 85435870, 720161523, 643205444, 713995532, 216158931, 674590589, 186430075, 234132939, 596572670, 437186989, 782376520, 454214096, 133505657, 135974528, 346277054, 886451042, 311146420, 701984220, 186825127, 599600934, 831773668, 649086984, 979636405, 619789976, 541792645, 476908925, 684555496, 183562750, 615882355, 168452967, 759690577, 7991467, 341650327, 280190439, 487628685, 795164864, 926196782, 725221598, 260580409, 806543758, 801519240, 949594482, 667694532, 537728488, 794869729, 294187800, 356856465, 96027443, 448514102, 869065914, 749458286, 938647296, 506385419, 169338293, 482241812, 337030162, 285224469, 210119780, 134560753, 966639002, 981903970, 138059038, 988035462, 449989412, 487097365, 770393411, 642576096, 351195061, 701573450, 128792137, 154216014, 776644076, 938029814, 263539278, 276786699, 829249536, 658936107, 689190427, 746552781, 583530974, 897984363, 939604499, 423592163, 422900769, 377777003, 675775183, 476157744, 823204076, 26893839, 866486839, 965882697, 518822777, 885230319, 451770514, 819720997, 208068722, 223562612, 929464246, 601004610, 902819339, 340679469, 730596827, 992290738, 62510301, 51232315, 710615508, 278866796, 529201122, 168855124, 864944885, 194161584, 938126921, 999633763, 671971196, 451027494, 477593154, 792830210, 973983806, 419323807, 208614149, 777264013, 891876302, 302133663, 198676737, 94880876, 413663187, 743564204, 280855802, 102105646, 366572302, 170953999, 706679798, 592197822, 129944119, 30213796, 850917955, 440431362, 116711619, 405628182, 809253424, 173544021, 989172822, 393185488, 778704432, 279666133, 943663774, 365594819, 92373414, 904010169, 165769963, 56277366, 474942257, 959990012, 938236627, 977037415, 497845467, 433487125, 651572792, 973982568, 296452287, 228844685, 131477654, 357424564, 730354800, 630195333, 754360083, 16227591, 948081521, 669733316, 912363872, 371536323, 529616051, 567860314, 630773073, 42020941, 51331575, 661883160, 405689644, 757104276, 936191619, 174639181, 349379697, 180326118, 171704107, 317250396, 922453293, 760434220, 475922086, 519988152, 295686379, 31840779, 831298263, 521700720, 521797454, 426961375, 854470982, 174593506, 836973878, 312393307, 148785753, 79419581, 19007546, 85226210, 219957737, 489842246, 469513111, 721906484, 49527374, 357363208, 956734774, 110052547, 150959932, 189994078, 609039572, 599003192, 989958109, 30925686, 800802157, 185859775, 321213562, 602033559, 389868903, 431075169, 537173725, 449838380, 170442817, 796979111, 356179943, 611627587, 153371652, 520944237, 332861073, 561736410, 817316416, 951051472, 791384198, 261432782, 44076330, 96816940, 986417000, 813922097, 20961109, 617167673, 607105342, 461653930, 170343661, 257252153, 670629417, 886951042, 12917248, 818205444, 156063133, 406238560, 320867415, 71357299, 127187924, 609181387, 104849144, 81351081, 822164287, 904314075, 26015789, 544027523, 600749801, 920984606, 883705090, 596416338, 513963497, 669582659, 700403188, 724491114, 901919277, 309716827, 449433155, 120280168, 467306612, 544882858, 652327775, 144824046, 406886819, 205802625, 979579082, 382194864, 999753055, 920521563, 846699203, 451548810, 990163744, 387166495, 439669122, 616544434, 956717071, 149689664, 555995616, 274816282, 434706588, 1924594, 855314471, 931822042, 61686979, 608468214, 768879056, 513829875, 818900641, 184992235, 323772776, 130705760, 93546202, 955335407, 417823390, 423260360, 24782857, 626618467, 9481036, 37301703, 45976603, 283588902, 485829787, 371404534, 540414045, 644500988, 30438653, 669998808, 844037117, 285191057, 772038769, 395379111, 191604087, 906340478, 794151717, 133324820, 414015116, 67516248, 84078088, 156993471, 41073301, 297957752, 395996177, 64195968, 992538422, 998904557, 502632869, 726863076, 889769404, 495778311, 561587012, 186141106, 532307425, 514673080, 950183413, 914704028, 85189078, 818016864, 876499127, 225703133, 222535040, 116629799, 641344937, 692079169, 902419141, 905395273, 309769426, 255570681, 734878586, 578485887, 551792849, 500391943, 576745940, 26767566, 686612305, 905608791, 171154379, 695487816, 501020275, 901867102, 107836585, 123326863, 372518962, 825875876, 268224608, 669062310, 53668623, 243026546, 586658149, 812725612, 162686727, 479697440, 497400754, 807608597, 432008500, 483846438, 473357194, 937755014, 260105609, 33350561, 179203012, 73729957, 212780648, 781095053, 777963203, 834635959, 494391036, 493720201, 407855562, 800451918, 649187896, 412115489, 495522090, 110403133, 787901656, 433678553, 981499613, 386016252, 837357010, 797119729, 557126491, 917643367, 492481659, 233081207, 478678828, 444774571, 661169354, 151809840, 11481167, 739448672, 932542223, 959838404, 298527082, 64014903, 747676461, 165701950, 385562095, 202473446, 334403949, 48553453, 189169951, 159834683, 134786209, 308356525, 595759928, 548242528, 551613783, 949871152, 174313239, 688364113, 925854149, 247796986, 530331679, 809182353, 718277860, 292661810, 554631667, 497799991, 268375708, 478591593, 827049698, 629913496, 424812248, 272810406, 956038971, 929745609, 68608368, 260691378, 294640610, 127404513, 70529183, 588961419, 198393731, 156527987, 951833719, 112340978, 309797205, 583838670, 678991122, 391726602, 799964357, 457044742, 361572151, 849508906, 931097422, 855871296, 248907772, 639137612, 89471532, 988442296, 248998454, 763452733, 374730264, 571923166, 157102687, 777175198, 447922102, 717456192, 277400508, 879039323, 452341032, 699247581, 489088179, 421035324, 17005101, 388046553, 25604850, 265164331, 401849145, 827138871, 834271654, 936073639, 480002944, 995703263, 8504080, 264129903, 633760524, 537390725, 797156220, 632996269, 436701757, 358128439, 3336327, 247841830, 825774156, 996158263, 406534736, 896789696, 861888927, 910781247, 228147041, 188755023, 170858474, 575890612, 876924726, 635569952, 371594568, 453828190, 195873903, 456658132, 114108647, 777723991, 458093745, 972589093, 32443540, 203519365, 468080374, 236739055, 157275081, 49441879, 812330322, 185596365, 778185102, 848631548, 194239016, 469350758, 109717324, 313025770, 325758907, 994315040, 580628816, 393257624, 156495859, 342723483, 368531795, 360467181, 86728322, 252402366, 168236836, 374297013, 363296806, 290448397, 186042173, 476450658, 937634492, 647193210, 781710475, 60810568, 259687788, 505673796, 668268833, 472533482, 89608398, 921551218, 756448396, 790064506, 580689620, 675872520, 31432472, 849400480, 335006311, 501224443, 221646518, 201418938, 868098219, 811115218, 27571990, 815866342, 598338998, 666597462, 786214986, 291885590, 715493094, 323456648, 8254352, 341235214, 93236893, 480577866, 586865123, 278484670, 24469285, 408982217, 690814524, 748461779, 254358555, 858934605, 849429481, 296566366, 814107112, 202515008, 558588562, 54538395, 461430460, 538694509, 795677044, 536131557, 539962161, 323907420, 649389490, 57450621, 247697237, 291236662, 818621915, 195676541, 401171861, 762449176, 96353306, 439936771, 972210535, 846754802, 707560993, 146696799, 744256508, 218435506, 655103999, 447134057, 5616733, 251014568, 396335859, 31388980, 948209543, 235355131, 100961605, 822740043, 401247194, 667866867, 386510435, 892882870, 345305018, 852891129, 632538359, 173259021, 487306676, 614856744, 555684926, 757261435, 601854766, 193904732, 965949720, 387458727, 754827659, 611589519, 420410326, 231888335, 611743091, 902493750, 346334470, 177261935, 159417873, 349652055, 638066598, 622879749, 490662967, 208779426, 419620167, 306412423, 90735735, 243752085, 397676505, 165691738, 434262156, 163200640, 86481356, 431590688, 64693798, 926465645, 739406510, 725697397, 73468804, 379476313, 148613993, 398334749, 898539090, 470336658, 721463758, 840913860, 68908954, 417575153, 687334748, 877362470, 700250120, 554016101, 578495879, 553696399, 843604342, 794195738, 30842153, 588374935, 738872270, 667307269, 784486568, 173386641, 72527260, 370614996, 277600446, 208045213, 405952359, 485479526, 852221974, 780315249, 404510283, 766775967, 438422825, 2365062, 459879918, 282654263, 157683186, 740913400, 124078446, 323872637, 425664895, 812446063, 117542318, 799332912, 630474073, 173204533, 533086719, 253930303, 86569696, 630480803, 70383093, 323666621, 575563281, 260001160, 710760995, 734475403, 368004315, 759378295, 89279208, 459003404, 891807133, 267918696, 655087854, 261306290, 853280523, 480544723, 374896896, 135246298, 342316704, 413391827, 628153912, 476315109, 786915659, 25313174, 229859414, 652276106, 119977372, 305292978, 257733158, 323241548, 354359230, 905718995, 36696034, 320452589, 214737142, 723813129, 835765397, 311161856, 393181904, 133342379, 75270716, 757946703, 459515609, 391871860, 760447350, 16189455, 898708933, 122572472, 496198641, 458305011, 838443468, 357311736, 749741379, 928394688, 750330296, 623411919, 607752334, 296084682, 160996197, 626820453, 551867962, 964074023, 849487731, 738233725, 54482006, 727864924, 909193462, 504453630, 679839480, 828674858, 875509731, 658590320, 851878237, 758673077, 519331475, 93082583, 791699654, 83691918, 253100146, 636608370, 428376683, 337782236, 614515663, 672403031, 109297967, 664463221, 194865697, 856550541, 731942663, 558457824, 11830971, 236850022, 773793235, 133280664, 107849999, 569615448, 791977698, 718085871, 302430232, 161820627, 27333912, 271820109, 919442657, 520578049, 299263574, 4801556, 39101015, 56110438, 51780648, 97448798, 147135118, 339259448, 276745309, 368567496, 794736270, 352388292, 943852324, 747754412, 931233430, 651599690, 524659056, 722253733, 543186350, 598793922, 8490559, 729423802, 665858987, 319183663, 393747593, 465307462, 919617379, 601263789, 480631625, 110221039, 252058252, 307882698, 853372378, 748904471, 93308923, 221782720, 917781589, 376008529, 203307819, 986592510, 600223457, 190185980, 799013245, 59494647, 669563232, 448129144, 993321297, 51582990, 721198065, 246669399, 747568553, 604147123, 110046095, 915993007, 314947945, 861603552, 314707380, 496671780, 425386397, 611147879, 852897556, 889005988, 858344277, 562569159, 552799456, 660550061, 29313576, 711296561, 890932504, 91466822, 379031077, 83253269, 230746154, 584557418, 13176714, 455441041, 239966369, 429460142, 995070743, 22437574, 688178934, 903567531, 907273557, 90604471, 912768902, 722745151, 253712351, 53427968, 357074994, 802672909, 933713351, 802383404, 493912461, 945108850, 129058817, 611485277, 169588239, 266972681, 255851257, 965679762, 983966906, 572600402, 528634368, 761532145, 420431195, 883570296, 666729528, 114854646, 536571179, 450842242, 941093580, 844053229, 971568520, 139419926, 549066863, 663300476, 402748502, 124629627, 343982686, 567646713, 731847475, 861758921, 383389892, 562266145, 15173795, 282042183, 230061430, 723117763, 363592744, 96856562, 411423161, 617301715, 153403644, 15231246, 683415115, 109789710, 666935794, 215240187, 730564107, 964863935, 839908261, 803930750, 964805854, 58042719, 914599265, 167435821, 111536110, 838949971, 167381372, 686119133, 378989517, 417711977, 884545714, 367003724, 328449824, 240640549, 361861935, 506572917, 293773783, 347765439, 329107036, 115582443, 109804752, 115171005, 33720278, 142622766, 694002808, 874608597, 394593297, 301154944, 529313752, 993714937, 648830024, 332611827, 182800107, 722186551, 435138590, 764124312, 447147075, 79607127, 412468713, 212696415, 122929866, 679997285, 720706618, 374997461, 378005901, 557795638, 504318385, 849399175, 184125608, 282666859, 471666248, 962619182, 477238697, 760618348, 323127896, 756643916, 102728692, 737327550, 810404463, 657937982, 319602728, 116602518, 948219808, 729972538, 982931107, 566016684, 340926439, 667746868, 990885525, 253186854, 157774077, 931261376, 782648584, 262853232, 334468537, 350539912, 534281651, 627121030, 220191225, 41687950, 104711697, 488746840, 498095407, 905070111, 904326056, 393297086, 245254104, 246244793, 519066514, 630917652, 373369441, 93169445, 60362580, 973529823, 441711045, 159636073, 638456206, 586092699, 575367628, 249793959, 965615194, 853066739, 632321343, 289924109, 633987907, 818877835, 83665914, 760260918, 306574444, 63882364, 211418905, 489154740, 826197635, 418233471, 476500642, 935229877, 143266509, 405910611, 276064312, 978903931, 217312482, 436365527, 79266812, 165988795, 979829371, 654266058, 42749456, 304075964, 556582024, 482185495, 996898690, 569635832, 570723803, 361749979, 686019855, 801568169, 424046104, 69907726, 735984366, 692220419, 755393179, 386925081, 38523033, 659261357, 472482945, 115185045, 90958023, 813265491, 581099216, 639385341, 298244941, 572061272, 198896360, 354616368, 220480893, 814905826, 86578118, 4856655, 952062387, 999679249, 765175844, 17177664, 152652282, 92874975, 172966527, 533659557, 196464533, 666813208, 907863360, 574853804, 424152949, 275718304, 574177751, 953510205, 413690639, 989791011, 322130896, 496959492, 337917088, 894090511, 47923190, 424259943, 747643809, 324500706, 325942642, 757363208, 546422640, 63290649, 173755257, 559881377, 244840797, 30604778, 825859046, 362943682, 388766975, 420245226, 657436367, 364418116, 480311315, 254422730, 912758732, 199294939, 391938490, 109957960, 331749764, 840578261, 279462113, 598821039, 619248248, 767469030, 241033965, 967464977, 41579992, 975250264, 583448915, 23202633, 449395286, 160902450, 974314752, 846711778, 248558489, 226487850, 337047108, 215184850, 659421640, 401446837, 146768080, 534833697, 549587699, 997838975, 578861344, 197858289, 480727753, 995551763, 322650977, 971741014, 755001023, 201458934, 328806615, 631831501, 664451073, 672748934, 232830225, 128771853, 851944187, 485157521, 967744679, 40430741, 639291521, 630443091, 177724000, 277761929, 191722318, 505147193, 198946729, 141402472, 832398633, 527178616, 92380440, 613108822, 662421624, 790637212, 227485101, 295907866, 713931772, 552270281, 811566946, 284378539, 142854970, 507546074, 284240786, 550281467, 694706565, 868546458, 528567853, 874582535, 28677643, 340486485, 722950566, 643434399, 151200704, 834123096, 810561891, 114920098, 864710911, 162657436, 164566062, 797576586, 281785639, 747264524, 585112173, 354890963, 63487789, 666912142, 684735160, 835655543, 221565647, 945081758, 537583104, 58467591, 533393285, 373937724, 106072202, 875676168, 690387905, 811376241, 777190141, 659364489, 412134714, 793074028, 374157065, 210752890, 570999413, 495150125, 424319408, 781064738, 76833071, 702409455, 154325053, 233193189, 71192768, 790492665, 279226868, 836380957, 5143184, 835996497, 476789215, 237092719, 742682985, 394198343, 120369276, 335413082, 179016836, 965999255, 678108625, 109735336, 900174654, 167614707, 365268944, 390655378, 571300807, 790518145, 398116329, 793151366, 136837804, 2539670, 147341650, 416562993, 44864510, 131744850, 267558041, 674367660, 898168501, 157494938, 581623540, 249079800, 273858269, 417273889, 625227462, 353089, 857770395, 726937797, 216741989, 238832234, 436968130, 407604164, 122463840, 482116536, 483602711, 404656743, 323952971, 481005288, 496385340, 979183065, 861894618, 995458091, 970649044, 275662331, 983886550, 41320826, 342811871, 427044739, 577265462, 410945687, 532312653, 770968055, 490244567, 794443441, 826358894, 345609561, 635292190, 713870317, 499001760, 579501478, 638104456, 341564774, 633034598, 752855151, 85678095, 529588502, 10100856, 309648888, 725387929, 336870946, 94914952, 304249472, 211889663, 560024652, 454470939, 745570773, 534534199, 945861577, 187721572, 257954248, 165249373, 195168303, 606995773, 575495870, 814430519, 273645864, 516094514, 525442448, 701695942, 498009464, 405380689, 999063644, 877400182, 140525674, 6116395, 410137941, 926971301, 510607761, 531659697, 149457004, 826394210, 264927657, 604135198, 161267176, 683083843, 603701197, 907249112, 920610534, 306211601, 325474087, 678061948, 483330124, 613940116, 357458639, 985490872, 647893622, 513796557, 987888572, 477563751, 392956387, 864785345, 110883112, 494320592, 327601745, 33436060, 760757415, 36183590, 461786416, 11824510, 897802472, 911992973, 228262802, 478354186, 48744581, 501092903, 57546371, 878976262, 199405253, 262487868, 806299246, 485919334, 748092042, 245997320, 638973030, 981681293, 816162859, 561979040, 223198165, 723279015, 996147735, 200535839, 645811325, 881492637, 205874295, 732100467, 608737003, 127922269, 933548219, 527307475, 222015059, 454609427, 535657962, 142679965, 454466340, 739343317, 795715177, 872398393, 356088380, 368303084, 696883524, 911196989, 520359986, 566307915, 586804794, 706497836, 874759310, 194658946, 210324286, 938463865, 418483162, 850381310, 293764716, 135066259, 899007020, 985807408, 269025459, 937837609, 762588544, 81379959, 756439941, 263900159, 25354017, 878839173, 976323072, 559111453, 803064739, 413216585, 197622124, 484867221, 137564193, 52563777, 901359495, 462455561, 971517174, 335661816, 828351707, 804670910, 714673714, 505229740, 241061348, 465895190, 374455211, 440322140, 585459569, 193811358, 423168760, 616930952, 29633798, 337470654, 469838703, 600181295, 157268165, 902319721, 364327090, 571596292, 729321032, 137182769, 940349493, 312124088, 717873887, 759584487, 174928910, 459751429, 284836863, 660153341, 402502185, 718989633, 304090911, 388129052, 553952937, 987503338, 117236730, 192051963, 256595971, 918154677, 608611011, 347168386, 955704595, 824710280, 276670098, 476282714, 660446618, 494853790, 327045619, 235541121, 490738199, 576876767, 97793294, 33138323, 866595552, 273824802, 895058905, 716463359, 862169038, 985758238, 312354863, 747915281, 91788771, 933204631, 17231173, 753994836, 288591600, 247807724, 511578078, 224093151, 903932302, 142576964, 907250457, 790494300, 569351541, 210649965, 174955459, 841344060, 342196597, 498596929, 469907766, 333100332, 765755906, 39944125, 501541950, 242082036, 631996322, 721872045, 602511069, 807489048, 932539475, 658007438, 842895932, 144365086, 641654969, 814353546, 493788602, 69524031, 43692549, 602613862, 251333769, 416630186, 401530146, 494413731, 632246965, 778168788, 563663822, 536143137, 232964164, 40704988, 577588069, 574158631, 355056844, 658465557, 866873042, 544064421, 156834494, 432510854, 211764753, 697423177, 221304505, 249870172, 487919191, 306717309, 352776278, 286854543, 112222299, 7678598, 962738115, 763662429, 592517888, 744245611, 927649239, 949403202, 914001446, 958261884, 667800976, 143443008, 843388369, 513656859, 699608003, 806214488, 98923696, 662724546, 700463092, 452472977, 36915907, 244942945, 554941631, 103236428, 939879187, 858696270, 347292830, 940043604, 585234113, 696979934, 5028311, 569948107, 155267758, 529287685, 338440333, 924120993, 167535435, 922211684, 288998382, 836954318, 797236629, 188948750, 766600862, 737750890, 624708519, 92443897, 969216546, 48858999, 949185252, 901755060, 721072478, 435306888, 307731289, 225062143, 312258464, 459195177, 38939143, 313806817, 209034837, 819052713, 784890227, 141083609, 678630054, 954448092, 73234506, 887917544, 597204429, 478052826, 273287481, 101191426, 364897194, 183627390, 110499547, 787366545, 60270623, 215616221, 288587541, 69755785, 591889681, 721710022, 474308352, 671655590, 576798588, 234762207, 96625968, 340445625, 630413609, 162212395, 703744310, 416201914, 715820575, 586037474, 261936697, 600386023, 815367015, 20243328, 481933621, 708889533, 515033833, 487788901, 277751327, 191888497, 339866473, 762888236, 895312917, 802821383, 224401700, 394955007, 475106538, 230040019, 416061000, 927990313, 201367556, 179189955, 538699097, 658186008, 454890854, 260467976, 60625401, 116745592, 17997513, 950099718, 417547913, 437758919, 492965688, 560065527, 806777321, 435825907, 916345026, 239518910, 894430644, 523734298, 869617410, 187234156, 129793708, 691746626, 562938162, 645709093, 452641932, 840341683, 666906824, 702964060, 759976506, 177978132, 983387243, 820661967, 239886706, 689033607, 928818317, 511201727, 203160376, 474274569, 228160881, 831176496, 931932301, 345935567, 378177276, 13174572, 218757031, 233842305, 706313317, 977540191, 801899578, 150980316, 856493202, 633536251, 661130236, 616993517, 553355039, 924548554, 411061749, 510990859, 694808223, 39385891, 940517284, 620438054, 282950474, 858920540, 497910454, 550393908, 319960062, 980797171, 381359553, 136069775, 179414143, 480821233, 392796781, 636368406, 942564317, 539943987, 44099157, 243761740, 424812652, 151864445, 927134333, 271921299, 968340300, 454296805, 121666590, 496124853, 420442184, 77065870, 658623634, 271385210, 858709383, 180223597, 285229390, 129081555, 514001627, 88921492, 177260463, 27211200, 806007861, 981988127, 719913879, 810402582, 32292516, 852386845, 684707854, 760457669, 905112294, 776673992, 338539687, 759580947, 745798909, 289126224, 268362470, 930223510, 584991974, 664511688, 664596757, 723722168, 739522285, 128422668, 404198898, 591480380, 2880542, 119425937, 323628766, 445596392, 337461989, 355477886, 487660129, 839656705, 285008179, 557856358, 767310535, 851729006, 141128288, 809353827, 781131834, 537360544, 244268598, 856795748, 319278387, 978893083, 61029908, 224189090, 109978629, 307991966, 104220720, 739006549, 621869907, 588814043, 810126001, 35628041, 493641954, 133127634, 671678650, 536373032, 184428139, 173928902, 252037154, 339153114, 896957731, 615249212, 726699021, 587583945, 117743722, 746897794, 146246663, 160056113, 276634470, 851717117, 618851, 98652353, 77493932, 516504581, 94112448, 677966037, 978442920, 917221487, 228593946, 386184340, 118443591, 375593961, 957961311, 1437858, 740036311, 583476035, 50699495, 230387452, 12515103, 24706690, 396537374, 303411603, 716178286, 349925975, 456919213, 99111026, 960903580, 443505518, 185957043, 991773047, 310477902, 907271083, 15505633, 372369036, 838405592, 862919932, 186225874, 46331009, 897513637, 568915175, 325776551, 858724419, 535905283, 773447142, 37705172, 287977969, 751000538, 567983078, 487950801, 422159659, 424650368, 640043773, 538881721, 269721246, 261224664, 677888488, 491855487, 412243291, 270202924, 558039042, 864475926, 784879337, 993215045, 913884277, 836038613, 707237122, 925524276, 186799349, 47619720, 366946396, 291401517, 684287779, 725367828, 731742623, 82243475, 205424073, 359622053, 148553983, 936464576, 1098689, 380716709, 378033389, 584600222, 396683529, 985411268, 854102224, 641087499, 36635607, 669942704, 117497428, 443843639, 699630270, 20303357, 605384525, 936333738, 319613328, 216796463, 71243985, 59200569, 325823903, 244079104, 94208773, 130883823, 805617115, 53964385, 368589820, 651526398, 610501991, 681619336, 181734832, 416436383, 915878567, 874044478, 729702324, 787210389, 511660626, 466465683, 113886202, 397586408, 797531776, 648208849, 728774458, 374298099, 85852925, 638734278, 750819466, 200121723, 807606499, 238006541, 749238872, 136182526, 763232831, 267391200, 270134859, 340087546, 565118491, 884455051, 833739397, 100418947, 817002980, 474533047, 676434764, 267917440, 703437346, 703467485, 308875632, 132849841, 637936875, 14181357, 29987693, 180663210, 608355256, 237449539, 83531966, 298073011, 525757374, 604600660, 476953818, 147204796, 309967479, 826587509, 9086469, 984511323, 721871330, 906842313, 809650448, 609996470, 36990439, 803739209, 512837785, 415887381, 900783914, 358684257, 514751889, 183209872, 21234562, 385660424, 480144446, 558064465, 510778989, 174792593, 264334668, 856458220, 935049673, 443915509, 951866318, 664583058, 744511156, 847910721, 824484073, 330715796, 923758850, 55828758, 108607391, 839835935, 925367290, 411251887, 55210749, 440041103, 989524270, 888501194, 625274090, 316082839, 46972852, 434252517, 898248640, 700684603, 885228564, 368694975, 121045111, 777125535, 898111360, 692743907, 448928843, 768007627, 348005504, 887334858, 936415761, 339272225, 535158982, 956689663, 780509769, 808034045, 499737629, 892827683, 488180082, 555374544, 496153914, 654375306, 48295924, 156417973, 455910670, 530273261, 590002094, 875016621, 927281809, 517893901, 601780039, 296517546, 768006117, 748775812, 875267429, 896470491, 93185076, 722494489, 653128012, 340280627, 705861341, 977478912, 512912195, 726075690, 571018123, 645744775, 350822496, 749410761, 610472518, 851631353, 138631445, 333581651, 850443766, 198372728, 344790137, 604446814, 65710161, 417134049, 750033273, 37139437, 44176111, 981815447, 302324743, 220372398, 875964815, 582566028, 966643287, 373080434, 939211651, 736334842, 40949669, 302487963, 624056101, 404109380, 539118036, 855270666, 341220053, 411211944, 634489140, 723842173, 727441754, 313747582, 857389241, 313742185, 105577620, 267064832, 907743407, 565542217, 522338688, 990157842, 949504855, 401282858, 68463666, 355543899, 649978993, 256137682, 825723459, 803158935, 912416932, 863092670, 789926902, 225427715, 501547264, 468644318, 165539390, 217358812, 824820456, 944572216, 212174546, 89493573, 462367199, 491164930, 301848559, 787231084, 650722612, 46049897, 352007546, 852788767, 340276454, 943637168, 864666873, 556910286, 956013133, 217531078, 980394246, 166473930, 281393931, 945519808, 885157041, 11861436, 134575889, 626526530, 778240402, 775207440, 328132011, 829723298, 23066448, 205253267, 698082411, 492404285, 160369868, 354817921, 814598522, 381584360, 465639554, 289902284, 744489193, 338181246, 719767604, 573314583, 337021764, 463563487, 90784936, 895513103, 58409912, 469135882, 323784003, 542359488, 971972260, 218262155, 564512939, 752878007, 143002295, 960071148, 860418237, 349016289, 4388370, 162147717, 684784604, 489860987, 102599577, 437727979, 457568935, 955121200, 588419436, 259141549, 332716, 492587822, 747979184, 318665488, 228987526, 105236998, 197231672, 351617291, 959259748, 741403502, 176502269, 952156011, 406554277, 252476480, 944904677, 101267021, 786336679, 674562742, 242784304, 495116047, 361367816, 220689501, 218253452, 246101813, 749345920, 722397722, 160811903, 57292793, 961934566, 882084260, 663082460, 390016552, 520002104, 102410022, 41742954, 696768254, 910099074, 874563218, 840237424, 131929166, 905105487, 331480514, 558121571, 768482517, 873071426, 682799516, 534008870, 827714146, 778494456, 386017605, 551372532, 869503131, 857592387, 435976563, 191474826, 325193834, 727787966, 107651600, 125561084, 410777474, 352104142, 155392630, 649671596, 307278536, 391888965, 177006913, 641932381, 869943628, 711973151, 430627776, 404986977, 953659476, 970691398, 178723365, 192311034, 273563836, 208253301, 292329925, 489761656, 278992191, 654909761, 579258214, 174499229, 163210971, 593375104, 190773194, 517849999, 99289257, 99554951, 789211939, 596446657, 411365930, 810029279, 893545475, 642714048, 562240688, 46094743, 444755263, 670176910, 413725557, 463480103, 675096037, 23503169, 397331272, 685443593, 959348099, 749922846, 676184779, 60719168, 749776462, 438640896, 842372063, 59780326, 216878392, 559099556, 57686034, 579811283, 871270469, 153792519, 728608349, 847838722, 90384765, 137080005, 909918201, 751077056, 463733752, 578966937, 585238055, 577733505, 544320334, 361305552, 694017685, 133370459, 63628776, 872376524, 199436454, 374551570, 995038692, 721458493, 97167871, 860484640, 65875618, 179314841, 735934376, 700590851, 748312149, 350381457, 547964540, 928059089, 663485746, 322264125, 655780519, 530546490, 676706629, 415900114, 978103944, 894413333, 754129870, 630545791, 137277236, 224575865, 939767623, 146259623, 770831093, 124553480, 250846928, 168498993, 289498760, 808858396, 525490268, 667423982, 540916603, 878556124, 272992855, 399306120, 780183434, 564400665, 635207512, 457397568, 825185501, 336044533, 24094228, 142907410, 495139219, 356888061, 762350606, 477917408, 287806547, 603146684, 134421804, 519386883, 865023624, 599093449, 485941259, 937602395, 639963617, 407313449, 526201982, 905458846, 714280305, 382910159, 701535498, 235518093, 262234797, 205882687, 408110777, 994079112, 268592694, 922248037, 152484289, 718986420, 662557311, 113842057, 708094944, 408296353, 713453993, 931022751, 299418649, 475853067, 599215234, 39094516, 907485430, 964850332, 531148951, 107476550, 713948, 324605075, 575937511, 351999867, 214887437, 66804314, 747910483, 77242871, 652108904, 293267893, 34246068, 524538259, 336737201, 324679467, 712557086, 289843069, 249106249, 143409680, 160223741, 554086317, 352030842, 298888363, 30968832, 541330494, 884073790, 190008059, 71057448, 318224772, 68901930, 889425019, 449147331, 901243108, 330166455, 872589082, 229424621, 82421970, 359634740, 67604175, 974159378, 718461121, 713542274, 910459307, 481834314, 218763014, 380436427, 745582726, 198306429, 823161367, 14000382, 988303330, 408122013, 706349653, 693156952, 540730052, 330255645, 645321969, 27150520, 364044782, 639327587, 726268997, 937275097, 241349772, 92200588, 478846801, 468988235, 461762776, 496769421, 449163284, 142632762, 487237244, 651858511, 940515597, 824962912, 346141149, 226917770, 713714141, 481004676, 987922215, 959343724, 993680820, 810986829, 168275603, 34399705, 231433982, 184479858, 440253733, 54476505, 986559477, 392936445, 875455030, 439209845, 828368642, 461734359, 442892213, 568602268, 524108624, 811642473, 350689815, 847266071, 730289534, 870925457, 410586674, 33199834, 967726298, 829979267, 887232351, 118027885, 762829429, 723512770, 538296655, 88253348, 335879847, 2904090, 163633211, 898306117, 716694484, 237441244, 46939906, 19002488, 767676875, 894352157, 726064836, 845561095, 739253713, 521959008, 964127762, 30037020, 960205677, 121961735, 831593954, 274453232, 501778405, 417797251, 59176691, 551219661, 393084728, 329899986, 591596330, 839363476, 480377495, 984783759, 409181085, 923753053, 820210959, 624500746, 931096459, 767275910, 13900732, 615821497, 891118019, 125870491, 338627450, 586916442, 292703732, 177864296, 574733295, 224925888, 408706746, 946450900, 30302846, 683231539, 546480227, 83410541, 681778989, 955482500, 9949245, 620565845, 790120007, 264818989, 357524417, 351392217, 475927471, 175949331, 641148282, 149275188, 61408659, 461881854, 837951554, 833974139, 756855876, 109414169, 540622198, 319549229, 530860266, 586462305, 706067535, 921964648, 940788567, 456125081, 972250045, 109740609, 933157941, 888055385, 267279281, 116395324, 478657743, 504110404, 870196436, 711470277, 871972143, 932163534, 125115940, 751204948, 286963619, 975953504, 72550255, 363331558, 973500155, 330419827, 941886585, 168342153, 692384075, 465908886, 534005141, 531557978, 135795459, 834935616, 852657115, 570093057, 945000636, 964041726, 86957005, 215333323, 502949469, 278809539, 483753449, 191775788, 174024362, 803642703, 556352449, 706224631, 687745682, 647471363, 135165561, 10300062, 637784478, 405218651, 88629630, 540991074, 100530980, 153195331, 181675261, 435553101, 58872767, 729092778, 125103468, 353681232, 676080438, 932831209, 90416428, 553061406, 37226913, 610905049, 571867088, 602383310, 376483950, 300925946, 608111340, 883827204, 67846577, 61989463, 389922849, 58292967, 50785801, 447899096, 407449350, 395843881, 200964428, 253932131, 616563449, 106496432, 336243655, 993373574, 720142491, 178236831, 957784024, 932538121, 101107948, 747299417, 421576476, 471781264, 304187784, 580184990, 288751535, 573724510, 911887168, 267041855, 767926434, 250851337, 405205435, 742957197, 391701462, 402483860, 462692538, 452388646, 312373999, 347046570, 863315058, 142110637, 235438954, 405151476, 831334205, 212159633, 983880992, 353832172, 431554988, 993957909, 347861913, 654506818, 336083146, 113742922, 965094514, 263867673, 463436495, 511167182, 609526674, 941119117, 958864833, 340167656, 750867109, 974219699, 785418281, 225935008, 18172388, 550556558, 188053919, 475572540, 426371017, 965656491, 902347847, 576445396, 358080328, 774920485, 417680488, 555672160, 368092074, 366610396, 331668181, 805133077, 191427328, 957453885, 320686945, 995201927, 900098043, 367240786, 923485763, 430449133, 419823767, 164938893, 355234076, 108593712, 342205853, 302838566, 886662788, 149914307, 838689790, 6899306, 851014611, 49205671, 483660648, 173669724, 430043838, 93501684, 744091571, 402832286, 560567723, 792191645, 704538967, 501874340, 581374908, 728695650, 637749076, 775088276, 315371698, 63971611, 299287553, 307149752, 971765536, 469903501, 346391566, 692022360, 244730485, 87149859, 625233445, 690585636, 469853641, 263166006, 459947842, 130628479, 146429460, 550122791, 530608340, 789611608, 117052679, 171107747, 460212768, 763920950, 102954561, 373837879, 869959149, 692467097, 130818409, 261313152, 270886613, 824403371, 418505102, 859730620, 376441024, 30257350, 436252459, 358258915, 629362375, 36932783, 917038458, 483479565, 556484004, 652638016, 71921896, 113608835, 378526933, 405698028, 930125746, 390241864, 553178507, 920726356, 872872366, 106752417, 848516696, 299734955, 217130551, 442452874, 49691590, 968175512, 730262413, 732039187, 318911413, 653642455, 783363403, 415268734, 615422435, 740586116, 724762423, 691071301, 205120761, 534659341, 304312622, 66276133, 641902157, 557406376, 808832859, 622939599, 936532125, 154870070, 327649878, 369793333, 682350487, 642897774, 512279602, 285961092, 445114343, 619383768, 610714514, 993079477, 204526851, 824765407, 695517898, 645463052, 354616501, 770438849, 236149706, 916366240, 111777913, 434882424, 838251761, 687492370, 216625131, 730287997, 92069042, 363606817, 676695197, 617227839, 840521104, 977833451, 541879416, 94667487, 923403815, 95115045, 816604230, 921843085, 222012565, 367746625, 859798472, 953618058, 127948713, 915646585, 539083065, 553232558, 209406499, 692954101, 876193409, 12702356, 333191596, 921084609, 350520341, 643157091, 614128065, 381820500, 347552043, 32844668, 301794311, 903403585, 984188097, 766973235, 938947910, 48330723, 791034474, 519321054, 304666504, 290021274, 697834580, 871666023, 52038838, 935928833, 481315149, 437846568, 269532320, 932265961, 115832901, 452960498, 143333103, 980419399, 319023901, 481512157, 472534023, 642370669, 135073111, 36986179, 444704594, 859586185, 103737554, 360338761, 973833557, 299246165, 36182655, 55550106, 682305996, 390655950, 9346371, 761993235, 760784308, 666058985, 593787872, 947944942, 642890446, 326862692, 135459953, 255358261, 743987019, 592825969, 165143041, 380732297, 897121981, 193511364, 914042875, 113303771, 707876468, 611999702, 747503991, 315020105, 718190068, 559368988, 394054521, 887972607, 294122383, 280878529, 719831019, 818528577, 119676512, 300293568, 834117428, 471323286, 72243326, 573539621, 232962336, 496398255, 419895290, 608304925, 103904243, 656411364, 254897755, 246933793, 483720377, 784422670, 142155089, 149656113, 391069583, 376169958, 152100808, 694805519, 334346360, 854314170, 155012609, 719519820, 515298325, 627127627, 505886089, 338407543, 30325757, 950190995, 509305783, 796110423, 746972285, 609249120, 91942846, 95470451, 821395913, 508743746, 980516336, 884723944, 999592596, 280045901, 475045621, 27782304, 285162738, 99843273, 91798488, 994791734, 522648305, 2091167, 288416071, 212747442, 348353112, 960004467, 723209777, 282519702, 196159760, 975425382, 223626142, 720525367, 471983063, 512977026, 230023446, 992480709, 513456072, 496617754, 875333342, 525927045, 723163386, 487201443, 531737172, 649154727, 396311326, 903871828, 347392116, 8779206, 496748095, 278273546, 585448909, 103331224, 64390248, 618856147, 944554705, 288260705, 797042585, 634923394, 629311785, 746780830, 332922245, 89164883, 342246264, 152138281, 220241908, 69306352, 441285871, 583782110, 664583895, 132544023, 402828425, 384069007, 822418413, 447790230, 647632152, 674888133, 383487471, 683273470, 382263639, 118452292, 583584334, 46995171, 79923725, 119114783, 480764150, 166523257, 679815895, 759519630, 66650446, 574630944, 475038918, 830659756, 214906641, 947721513, 875895129, 776702842, 198625247, 890461317, 986592550, 595987024, 819564196, 84029497, 855139209, 192219946, 566168710, 343155858, 247884967, 157402139, 114261532, 75269476, 177317304, 661191748, 838053628, 362043788, 254087181, 266697393, 683386967, 563801051, 445172833, 507277809, 631959431, 7832234, 437494326, 41699744, 8429419, 775159428, 853798499, 95240338, 936590705, 932603036, 840289958, 109081437, 66990917, 158206518, 862673170, 811571724, 766373911, 210439510, 161187506, 546809864, 968493540, 300490507, 411385066, 482189639, 130536611, 469841880, 736816813, 674234620, 227959297, 737118462, 223640052, 740242495, 285141256, 225903761, 415126490, 202609566, 162951567, 370947887, 408428060, 558693280, 462733663, 721559283, 707420434, 376916167, 522655906, 637303809, 981038803, 877096772, 117209946, 191212390, 190233199, 965322968, 832996349, 264605963, 320960512, 261980192, 76721305, 282926215, 762913098, 59024430, 675712067, 292530078, 639448741, 780461154, 17799743, 478769669, 332785694, 474152255, 312867677, 755954873, 904072508, 307677182, 879413159, 691077253, 700688768, 847137441, 603362041, 920121916, 441249037, 258454613, 59719194, 665319296, 175276771, 314848168, 418676214, 398298773, 722256430, 354395239, 507880640, 884321085, 104468848, 102755235, 38886682, 417693225, 895789464, 474622134, 48418158, 815870536, 17850671, 570616522, 953636294, 374986785, 902856132, 883668784, 255039593, 219007321, 270192034, 471651372, 875303409, 812689410, 403991984, 71836709, 992410402, 563518033, 156428456, 51828467, 941702580, 207006561, 529209102, 542008523, 991799747, 643664599, 43846765, 96603475, 83983597, 896220491, 572160064, 680915426, 604365054, 466758993, 593530461, 478428327, 433245446, 36462308, 993296111, 775109977, 929577560, 40806593, 90816121, 455915738, 465019986, 394100358, 371546494, 815092541, 168098707, 942733065, 694450779, 355310759, 162903280, 504057120, 244996046, 475819319, 816147936, 239275918, 917935884, 897366406, 702681770, 974726920, 774647791, 452763862, 210540693, 656700675, 108871711, 214335262, 88596601, 588986433, 645047084, 82476340, 199242641, 124134192, 944813384, 482170399, 554977641, 357213889, 45250230, 253805984, 133961647, 3034497, 746553702, 264774880, 439194209, 292890505, 566855757, 748626057, 273679971, 31761046, 821841090, 369178731, 441590356, 567752315, 921394127, 705155434, 81370654, 25097067, 975726055, 129424508, 275622690, 531167879, 863524506, 873537340, 482550244, 526785941, 450879609, 477726313, 965710424, 286335041, 806291988, 761430415, 149500683, 252617849, 337002327, 601367881, 413360246, 759615826, 53513790, 936115918, 198048168, 485858352, 857172444, 538796204, 749765900, 861126019, 479889684, 484936453, 196284165, 145158828, 995453133, 793956647, 444598597, 645060430, 717554538, 455617892, 697882760, 315963126, 74398452, 504534005, 870538633, 16426812, 335868820, 833093242, 999610523, 687251161, 495879176, 3802598, 970914516, 799349234, 253498109, 673753576, 267407538, 390799013, 116595422, 896550287, 600516894, 982473562, 95430406, 162939278, 933664124, 499649089, 18035050, 165263999, 538359076, 749971678, 216302378, 808656252, 411146853, 616873238, 296615860, 303505033, 64527878, 710114099, 782045538, 915972561, 874433623, 687054739, 260817048, 948139455, 785771201, 932549940, 81630851, 116702704, 234913324, 654454209, 760727327, 609738986, 392807850, 45532224, 725150352, 315128517, 869198295, 846768992, 313431114, 803824950, 997125135, 908412004, 361516038, 998350524, 121126451, 689628403, 934308129, 935864778, 286719589, 477154288, 831226268, 922908419, 976645133, 461654187, 434048188, 366633001, 528582759, 877679486, 83810237, 643112827, 90999081, 930528959, 653095466, 784667694, 978419973, 922633477, 455591955, 450215356, 70449071, 138793900, 826565005, 723857787, 327281216, 652222150, 753091372, 166014330, 292484429, 16141882, 125757988, 314660292, 8194055, 459520505, 316517810, 203781853, 809922118, 146631601, 105299794, 851779018, 147038075, 343910194, 651006378, 577143252, 352627678, 857392747, 709842604, 934337802, 275549844, 314845906, 295703726, 995401899, 673591732, 103411560, 236004872, 994802740, 528963750, 593573531, 932612912, 876042722, 55003605, 796963851, 372993958, 782722757, 343243319, 810442165, 276141994, 323605465, 162699557, 289469366, 481069769, 834781892, 882141650, 189684550, 993125996, 798052985, 44361245, 528732646, 775095424, 496071609, 416444069, 398338605, 376566226, 760345224, 390666561, 935016739, 654743570, 439949849, 367020355, 757884498, 298478949, 511663656, 25463811, 642230924, 456434174, 948309208, 786631161, 711608471, 904969979, 499185390, 535765291, 552890614, 860756772, 425952074, 543816741, 363319716, 705489176, 584368481, 620176873, 388081449, 722885536, 263095528, 389438457, 332164422, 710152719, 976576766, 350595210, 380901378, 197024537, 714741598, 273213370, 562564828, 849955523, 858639924, 95420942, 557135877, 878229437, 942979103, 247269029, 925659590, 974306787, 39547588, 279560832, 896677376, 6200505, 760350285, 715280178, 578755324, 734130842, 298139533, 979831526, 352317493, 416091835, 304769074, 613373698, 719589737, 607513253, 524531724, 74108970, 266978399, 842987730, 235207216, 186365861, 375162204, 505561304, 993821990, 443287488, 546019767, 76544673, 3694195, 991002912, 97952223, 988933148, 431408943, 949514676, 428417391, 917360943, 92154208, 584167529, 200365270, 90564009, 822547865, 571445673, 242407744, 499787483, 554436502, 952364195, 842911495, 75618905, 341510251, 491556807, 721417574, 384820700, 196756367, 156808749, 587223283, 696995226, 758605056, 433902813, 975732458, 56853317, 626317733, 417675097, 916754614, 998449585, 193141822, 643489308, 667136896, 338942872, 69766673, 5930427, 524322138, 414696991, 540112988, 564299726, 586921007, 588438167, 868452404, 678829619, 337915554, 469187062, 714295457, 276308105, 769155547, 99177763, 767168097, 552406844, 269131541, 178983653, 538004409, 337703358, 955673018, 600194391, 249179066, 521782063, 573013201, 222850241, 584145008, 306182660, 981157380, 940733861, 378151650, 634382909, 768050276, 312246053, 759165582, 37022343, 645804949, 592537776, 822940513, 467941774, 208154530, 974223573, 160318130, 361467995, 433208664, 154165101, 52286020, 779095963, 857356402, 581689499, 810852308, 202511234, 622589413, 186979287, 92424521, 977650565, 102442640, 2886749, 78857208, 686677422, 785764223, 623387940, 695683396, 41120054, 822140092, 495657403, 625194029, 463546285, 273534112, 508002633, 706695015, 591811777, 210827397, 155645507, 143475711, 974496796, 654136417, 592524815, 472457812, 972769287, 180138585, 382823988, 169792633, 696903231, 804812814, 819875911, 997841631, 175584679, 465107020, 125666612, 835714854, 958151761, 276752114, 776566811, 783180384, 441050856, 872921800, 231487404, 938773255, 440066634, 930810015, 514413360, 366867759, 270231125, 368513276, 174078729, 436525318, 402508891, 919147709, 944289463, 929475235, 396227789, 795062890, 576668621, 393878710, 584076187, 482757608, 607893961, 641555654, 841066936, 986182872, 813285026, 857724688, 834126817, 520433564, 119293857, 727581763, 279192420, 199882868, 518696469, 662879347, 593242050, 452080726, 394023073, 526647760, 388429795, 426047373, 665685254, 55115900, 817046145, 109119925, 558242467, 176101769, 368352878, 250541365, 417763402, 537570305, 955685886, 355392052, 385790335, 962129471, 770302513, 560720023, 609577227, 983848094, 531409550, 41047623, 946345407, 572553063, 132122834, 292158894, 118754653, 4149870, 412846221, 258836547, 126039366, 383203930, 6796577, 939906175, 997996295, 645686358, 232971909, 891865285, 4034339, 430213362, 747881183, 113286110, 350716338, 609796395, 586742502, 287815818, 4230182, 688022162, 296075562, 921011252, 34240152, 374178260, 8159874, 109570151, 865084368, 181994972, 975375220, 955613322, 889958973, 623347780, 195904897, 14958398, 574931204, 156982050, 489423194, 129557622, 991458202, 732585446, 251043815, 771270974, 681895933, 857811983, 676567238, 3097996, 91719800, 329753993, 522333227, 310464743, 877366026, 410984325, 14595964, 334049467, 49195689, 522313091, 428838379, 17854638, 610753584, 514181307, 312944670, 269085135, 54194558, 627781753, 321532652, 528426487, 46942454, 250203079, 259140570, 663289153, 914643032, 225859315, 894276027, 915380332, 982242293, 591776122, 271018639, 611743802, 171878840, 364998299, 177724413, 90732649, 81281864, 477856251, 454072288, 537719066, 744384180, 606092642, 513417077, 871418600, 304004310, 325036021, 602982270, 307224431, 707822043, 254091028, 501944059, 135684519, 875645439, 476992242, 817898318, 467021057, 59804257, 532060640, 665084356, 215396346, 455276267, 417703908, 695958537, 685067522, 157585765, 684630870, 414036208, 440196852, 779248519, 481027446, 816408870, 952937215, 232048546, 787046555, 168582340, 479631032, 125696569, 630188299, 708387614, 31239594, 974726978, 274527663, 198260181, 785556377, 735140954, 507452817, 543327024, 313279441, 712708378, 457320815, 677021166, 284594478, 879657188, 959675606, 751972215, 569374606, 384846190, 76542388, 962456713, 556621671, 868532328, 452389609, 647956086, 271881012, 134921627, 656468079, 274694889, 796767691, 296837005, 740150965, 255270180, 899253388, 939426781, 838133211, 823837149, 268223936, 339227977, 905710482, 286823478, 303538370, 603772768, 262913356, 418019920, 453415220, 822835319, 3124317, 770707526, 479553401, 430946514, 190583300, 456602747, 938619278, 301198120, 566936031, 685517372, 943801760, 109923305, 605949025, 325505201, 376757144, 765649422, 957759072, 847519727, 809848877, 639961918, 630644733, 587286892, 528101067, 625081015, 412337436, 180386843, 918440275, 226849931, 439182886, 961940848, 312525222, 190889187, 172381468, 389894064, 621497906, 821232248, 510514463, 890341854, 548036570, 644790666, 875365567, 731241980, 829780934, 713211388, 526859586, 778123021, 259277784, 96741518, 933012102, 236099662, 721606256, 339157051, 350584452, 968523318, 61049860, 832186208, 892821331, 204689146, 331272480, 933104969, 281112254, 274196262, 754339362, 756871442, 482552290, 41097325, 628258476, 465348374, 739764845, 988677796, 381408145, 75782622, 700892704, 932856464, 349808123, 223758003, 210252644, 566212004, 28438325, 31834613, 660506197, 797004573, 635430673, 11119677, 700534104, 897086419, 724736505, 37271464, 599776769, 148621065, 958373480, 961993036, 18146025, 54519258, 498293652, 408057042, 819200077, 932331585, 786967943, 491975159, 497226350, 343441994, 590230083, 26177683, 666154709, 913358944, 262101701, 351134477, 804009871, 333520286, 103285173, 153110533, 637242361, 206055802, 42645631, 248322065, 975678213, 931101188, 251057161, 324717763, 607954785, 820377363, 518013815, 451900852, 527048120, 631158748, 275165154, 764042842, 278891031, 526592508, 543897975, 111037400, 261342810, 47037143, 442725126, 199331953, 660472028, 690516812, 368615179, 806291129, 481710353, 684540763, 953953277, 205173399, 624069672, 522193341, 619594068, 173921214, 223759628, 294306357, 636714903, 98017507, 774680646, 723016996, 258602386, 259711945, 433552239, 37612808, 22042910, 475984449, 748576708, 221701566, 670896994, 23837075, 382557702, 889384298, 4937259, 135223808, 612801996, 865249086, 74439681, 865204625, 56129472, 611696858, 209228491, 751161708, 519027054, 389010329, 134883328, 598204163, 431386320, 493512629, 46131676, 872507324, 746028154, 801065926, 769825996, 847646184, 171521083, 707487003, 447058003, 935097913, 395727947, 961335683, 366349083, 526139715, 736457475, 339409975, 919630097, 403438583, 688599823, 134335244, 204901187, 30294971, 200942475, 310021193, 28650179, 518463220, 11641775, 983890781, 659294422, 474058710, 295039554, 937283176, 688622304, 152835959, 687195814, 618571664, 230153374, 744996130, 107115298, 244308641, 516782696, 706459691, 540704208, 744474601, 881019507, 180140830, 417837567, 990784838, 597290370, 506981205, 319513496, 34557189, 90120658, 420999518, 137586474, 780238388, 83697066, 195344546, 603929915, 748804351, 36448383, 205318022, 680356832, 187533905, 666656159, 566871037, 234245445, 186969545, 527845487, 115955, 605854765, 181203442, 800869228, 494849913, 941335441, 735501857, 440742807, 80398541, 388107936, 503133297, 3197515, 977173090, 948197281, 866149030, 890336241, 737596275, 239635358, 763128793, 464260133, 34597222, 964315349, 966698994, 550837991, 975100395, 482333357, 670852629, 606619048, 136457243, 257228789, 673786956, 719476553, 255045898, 434789793, 444366287, 33716053, 677384030, 531727370, 799307461, 766726992, 868268592, 805286845, 72495250, 760160131, 22466245, 614423273, 642394171, 450064837, 993072964, 602744724, 751187501, 254919657, 596080075, 725099497, 187626331, 289529676, 686447514, 59030443, 617579753, 95757627, 255926332, 430369520, 421793393, 153845646, 691709934, 816021786, 610895947, 140851285, 939394708, 28437159, 145476209, 958148237, 559758662, 848249845, 921372382, 702243153, 555134166, 656801764, 897738223, 203000159, 390106757, 818710121, 685271237, 820221118, 348154174, 769008365, 756086965, 711073105, 960711921, 251585986, 539029627, 942889107, 479045202, 797403137, 354064939, 18609673, 360608350, 221907315, 860590850, 485044445, 160630607, 282451344, 972023571, 595221899, 324405145, 768928757, 308246831, 537466560, 457078115, 341280099, 732827119, 827209551, 365284460, 957146180, 534142839, 682828334, 775037956, 666998442, 502363463, 485545469, 279132970, 336070178, 949728800, 323652840, 755751018, 681927740, 183035896, 704675063, 600718620, 283792085, 914050916, 669799915, 639358090, 965856421, 250151927, 8772769, 214268657, 616964115, 594064258, 688802527, 458847668, 446003312, 570378651, 797270856, 300864262, 253232240, 659497774, 868774917, 549100110, 524496549, 732181914, 173500988, 670667595, 869665063, 603547692, 926926, 914429430, 272748408, 268355759, 597576430, 718987854, 936361271, 391375997, 499825952, 973019958, 181675125, 738481588, 205268467, 291872837, 739022275, 149926094, 263717232, 168178914, 712859476, 762894829, 21112388, 771540142, 913718864, 35967132, 990282591, 235895331, 80891970, 45765177, 867665261, 676387447, 110434464, 668459812, 915840473, 974456395, 955804968, 530308455, 421293578, 338752716, 179945203, 407873933, 230148297, 372248231, 390495586, 268984781, 22278233, 642690544, 916079713, 836434955, 305638684, 62126415, 912864197, 179848353, 489565849, 386010553, 743838764, 754482035, 129036507, 2498307, 78943861, 829277865, 892418677, 813082127, 414516241, 610465301, 409230647, 120925686, 827143102, 686232368, 38546949, 939685019, 511868195, 136316668, 774637573, 143850388, 73013809, 213445303, 765917163, 757061965, 474802205, 753082880, 264023107, 473227731, 929298070, 833859926, 263036402, 768522445, 609588007, 664900084, 369443341, 283111630, 20417587, 840901619, 54231653, 859992222, 615364247, 720624878, 187583154, 582608511, 565906775, 44883342, 727169413, 819523610, 60260068, 768389783, 132575818, 782820229, 482896706, 882701726, 981861980, 873495995, 168773289, 510531831, 774687808, 205086306, 237147367, 233084474, 487412049, 231693497, 35063592, 598909418, 937999060, 958267583, 978295086, 716854435, 229929979, 25331989, 779100581, 991205270, 486940401, 597366968, 155856079, 729535814, 220501769, 923414583, 294466901, 559693808, 208462182, 516415494, 235193270, 578101207, 956864089, 329917509, 19053583, 685764829, 780838801, 249194407, 169210087, 67464814, 382394634, 11756297, 258526064, 203778532, 987427343, 960488911, 566353928, 688009974, 873146774, 799138281, 367264497, 993571830, 363443535, 83238653, 726862939, 923750727, 480371563, 174296309, 753164267, 323409712, 95686228, 169305287, 129361246, 414172278, 452318191, 793485050, 294885095, 152712538, 149484478, 255793961, 681610053, 946620266, 446601418, 134245316, 369299767, 232496389, 296763292, 702230830, 670344619, 124485348, 173508040, 734216183, 942535356, 87383407, 706164124, 372861955, 793927526, 561482241, 715708749, 620079710, 981762816, 465547587, 11018605, 19767265, 220855265, 111168400, 257996380, 309097972, 406161058, 636806751, 972498898, 306759091, 978872603, 944467315, 12661573, 278338376, 320268298, 909105388, 72624790, 290007253, 934232102, 837831850, 303663759, 474769279, 697532180, 584422801, 861530836, 223507490, 427366996, 964080498, 327638807, 827986187, 979939560, 902855506, 704120104, 560066393, 147271314, 675214855, 691992468, 681900825, 834186625, 365361207, 364497972, 667189316, 682860146, 432159145, 132386673, 554485194, 240482790, 664008582, 458369883, 989281128, 179226460, 431624525, 91645563, 152686868, 758925700, 567602475, 449287093, 414186515, 727135078, 932148828, 290999326, 551556274, 116532166, 455769405, 545681621, 498217646, 488087820, 41031618, 604286578, 780370464, 154619658, 198231676, 383279611, 486181060, 881980584, 228616345, 932123600, 324912088, 528081057, 186660967, 890806377, 19188082, 373949309, 869949676, 878927671, 723754130, 532192038, 731046105, 559709999, 946873598, 556211195, 495324452, 440309506, 436174680, 785162269, 231370732, 701815684, 343032512, 386287194, 631927650, 978095954, 622122780, 855426535, 275014465, 825824457, 937368088, 358875310, 65969834, 510507901, 484539030, 725045636, 25686682, 267525123, 716564742, 39573811, 833200653, 283186200, 426512798, 912293816, 559483085, 456625205, 568874573, 35359450, 183765097, 123674607, 87069097, 85763087, 662360684, 326160611, 624473049, 13569885, 828763412, 258898445, 164740308, 289527924, 858492882, 834398355, 146955650, 168187128, 823840138, 504833323, 859411286, 259357026, 412422633, 9147708, 412560843, 302327744, 76984845, 526036869, 56513271, 906859970, 509858699, 552911684, 781866379, 55407333, 693439682, 246276549, 235415042, 652515306, 946406977, 330987937, 651551277, 116597111, 298285907, 97164926, 493463647, 953102838, 406718547, 491507539, 159239270, 562860256, 388941907, 292138986, 787690527, 468267704, 470288309, 75073453, 437842129, 832258914, 184816169, 432407364, 86244669, 140571080, 829751935, 619408107, 611561131, 210981242, 743430369, 792628340, 607392285, 856655501, 85832159, 164852741, 681570229, 639025476, 119131938, 548766570, 316351484, 149383612, 417289650, 356524025, 739236545, 959878008, 724932776, 697290933, 949081786, 25817246, 265607051, 329252196, 795222990, 713599530, 660142994, 278230173, 120397406, 965534996, 520962850, 885014371, 74912593, 972619866, 717357351, 108494954, 959140949, 512463327, 593155902, 221144115, 783578143, 411253076, 84856884, 492123461, 622314257, 667293418, 225178426, 784815321, 917497793, 257668865, 627928571, 936122338, 954161688, 908198224, 542376519, 64835017, 509819907, 59918286, 837037758, 646564554, 610161322, 39725718, 5920405, 90981425, 118778082, 166764935, 281025610, 864576952, 169264401, 80661029, 959548482, 84561787, 430204757, 406161961, 182442904, 524166664, 250907368, 734209044, 450184782, 664998723, 900872658, 212775663, 156810902, 445136947, 53888129, 593724904, 940952365, 961676430, 654921262, 212433632, 123598427, 914919615, 776561755, 574880577, 329770150, 235454763, 956516639, 238069495, 837950049, 387790443, 582575429, 784546926, 843336310, 323158530, 978927673, 274849627, 693213033, 276444121, 695634700, 553419910, 352344236, 115123159, 561286001, 450849699, 764258746, 688900337, 919694336, 93831335, 7871929, 446252570, 265539885, 663999910, 769666319, 412493231, 10275649, 185928089, 574447495, 746936443, 655387690, 225621260, 33626325, 537046001, 461141994, 211694884, 36147225, 961358753, 646629930, 941907998, 80903034, 227738374, 942820193, 382080750, 460359487, 495374877, 93447711, 384645003, 689172601, 186717547, 367563199, 836020663, 565502006, 369499083, 917111870, 127629536, 432796675, 211863243, 470057627, 694288694, 68193476, 529978529, 678985771, 399488719, 783649245, 212378386, 10387746, 768076633, 100232004, 773439854, 126917990, 115998412, 387479229, 49107686, 271021538, 636228886, 702710050, 712029214, 739195587, 594501397, 675502851, 469411023, 283507488, 273526398, 769055306, 244556051, 823989136, 407381796, 33036596, 355954559, 468952495, 101297912, 881399567, 549557262, 101573349, 541712929, 685921078, 204701566, 436728694, 759817136, 47202490, 365296404, 533527126, 242574687, 894711498, 924049819, 142093212, 328176832, 593796832, 124040798, 602654682, 699984559, 412880968, 534776659, 341864782, 707944727, 359392061, 374098408, 486575505, 994993113, 932557553, 417725805, 336306419, 545689959, 717391394, 5705780, 265765397, 988265621, 148287949, 62442428, 892605647, 613745851, 991785191, 893459725, 172459006, 386532532, 321047614, 6517013, 763915066, 328865461, 931618436, 745183281, 580651289, 438015163, 873222862, 153689432, 206243193, 371274775, 13017962, 726042315, 472846824, 322966085, 510494186, 902876859, 254754455, 989285734, 23483477, 268887377, 593211259, 659933490, 49642522, 81939300, 544224714, 291051668, 543219767, 644223891, 557542236, 869657383, 940850797, 234589148, 556539940, 295197135, 299266676, 577686735, 747831278, 519598055, 229059773, 887253905, 939814024, 493700319, 421549615, 435954622, 48167750, 5952188, 887799848, 951265088, 327200808, 575622586, 615518021, 622005824, 119059442, 496765334, 979002929, 943120749, 836865184, 227278378, 175379652, 399069461, 397890881, 944097169, 664147870, 642565020, 377836838, 885048100, 212073339, 303999642, 200755308, 218517362, 472163525, 915622075, 91964324, 497502683, 849685724, 214264421, 175058029, 729010692, 138789040, 990012706, 433491235, 479732408, 712153728, 785782718, 932351375, 204165321, 655861192, 904175587, 291404946, 706845618, 169987847, 515890838, 227988628, 751864658, 898249038, 375479886, 716138752, 889965976, 590641898, 138984012, 862451486, 504252900, 977406538, 777840490, 568923699, 502211323, 5550779, 510745557, 212082544, 776654790, 512686930, 639636802, 862788235, 318813593, 572440710, 644831119, 556576240, 844625550, 15662194, 481579661, 506396828, 448987712, 266421942, 452336934, 961477447, 44102481, 140273548, 241238346, 534969733, 673666200, 203528849, 128559262, 401816342, 588784901, 752332485, 872611583, 932530246, 598749703, 581320532, 68732116, 63677622, 50462933, 46806666, 715359964, 510680941, 921229751, 832510269, 658621337, 520673825, 638016323, 67912424, 99547707, 607043762, 682447997, 333651622, 982779610, 914062605, 351302057, 729706237, 765288893, 495528358, 788465749, 882930574, 695809664, 413949152, 653296740, 352827969, 99552102, 895885315, 380502346, 354390084, 996868665, 950106346, 426025635, 832873877, 766631445, 4453745, 312322491, 905463216, 893378510, 284228791, 58489502, 359291975, 905447857, 624922154, 773689566, 149009423, 168666334, 978327568, 645790579, 529625544, 88185820, 40737156, 3003036, 111849464, 919428477, 509357675, 718158179, 919703100, 22982600, 296339876, 584292476, 237319205, 881355437, 431765876, 548508856, 793408317, 944615471, 467971902, 754611636, 157710013, 480065675, 295707019, 225090712, 800872156, 248109913, 930750674, 100040376, 869150602, 59008290, 732862698, 255954333, 574024659, 807951584, 281664871, 297439574, 971410429, 305393269, 931683700, 473304327, 893586888, 107551136, 300170552, 480861732, 735518053, 479924427, 183083170, 393314671, 990541996, 953811123, 73999066, 157098641, 624145443, 246599345, 735724238, 808076080, 897850144, 137843217, 228500680, 721391227, 442033784, 958742400, 203803262, 325610604, 727158796, 418595061, 502820325, 444780191, 643992188, 111921352, 180815322, 690015439, 541674973, 625855711, 4431222, 593354606, 695629644, 755795480, 948716964, 515854804, 136048729, 872376767, 57165617, 928579393, 631886469, 791528858, 786331026, 118881650, 460505116, 79735947, 318517981, 970235017, 859577385, 849326222, 761997296, 407218062, 940053427, 424028639, 4334474, 123696761, 350723574, 834277957, 138178517, 744068153, 174699396, 675641095, 308471254, 157178105, 644114959, 4879829, 601424266, 839728221, 569478504, 28503202, 115698645, 922494475, 553910558, 656487342, 66292765, 64015684, 70840226, 998292320, 844094342, 552851024, 433879996, 731281676, 368025205, 876582833, 7764751, 278689124, 525468401, 875517236, 818300624, 218578725, 297658962, 859833697, 37451953, 341849396, 688582269, 119491177, 680297318, 289498012, 565708780, 361104633, 833086445, 904588969, 522692179, 251930191, 707914813, 219138410, 632801950, 80243463, 257131548, 382679769, 812228450, 771083905, 427562878, 130317278, 44431534, 266440573, 618361621, 68481604, 621314695, 47568868, 667312411, 466842055, 461159596, 524482792, 438293462, 252493161, 547379658, 541894260, 732181840, 526932855, 216141216, 558725237, 578084620, 457520135, 192563358, 365758860, 729898262, 464635341, 323912290, 793526714, 356283194, 806809822, 164597654, 385396619, 735975399, 791573496, 883936525, 942901881, 910291268, 316961366, 497183215, 879154980, 18123103, 732431816, 69869305, 916910881, 254865372, 939878303, 627814787, 348490126, 713405971, 639419729, 837276173, 899022105, 169843100, 124833444, 526928727, 363709837, 226559697, 584416400, 350880701, 886061118, 238487357, 881677073, 454706952, 519423653, 493531449, 590008280, 424528930, 93485529, 673526337, 332017718, 177311403, 413680485, 610537350, 276038599, 411706943, 873517334, 266952368, 222988376, 840864888, 825793803, 888270982, 618458696, 222772848, 266301442, 443123172, 650172208, 905908030, 320618589, 349242455, 370304269, 81079933, 458349642, 830833476, 986868896, 650877118, 283634297, 882186640, 937139985, 630821074, 213586555, 78288765, 405040616, 975711864, 275940919, 804000556, 243169391, 924988637, 83943360, 55263861, 679702325, 55884361, 776000754, 430230621, 895456092, 204448518, 527639705, 461148089, 246009583, 110011444, 819284534, 341436217, 542702463, 368430591, 20837376, 717550134, 202356060, 540629826, 128341783, 434358202, 99782926, 313984572, 977445012, 418870559, 48886291, 224413689, 683413990, 725742420, 46369693, 161795291, 63119264, 909134264, 505959229, 834657553, 502816339, 636378955, 62013618, 740703946, 132495418, 78026618, 676512806, 827413136, 359951465, 747793075, 536867316, 462799169, 820263374, 578238114, 256377788, 763910767, 819541349, 268899364, 959345974, 646877159, 414631065, 65341594, 155277273, 813492765, 694379162, 935639748, 288969264, 656741331, 460923572, 167975035, 737702017, 900891546, 772397047, 472009695, 900779964, 220419076, 403222106, 947621345, 186420067, 473233131, 925288141, 91057645, 810519380, 396002722, 214352706, 299671683, 7151931, 928830411, 122224679, 965059840, 686154804, 342905383, 975726646, 56415548, 41620279, 937919246, 213560412, 62185083, 999677490, 494979843, 413960258, 115756135, 492553224, 524240568, 631621415, 277391545, 459940418, 689170329, 284166238, 625687690, 296033942, 57296896, 162603034, 414660566, 61979657, 252095261, 987081390, 85160619, 821688080, 706806111, 164273089, 913025027, 73016406, 633905749, 104647238, 822584948, 609932786, 399211256, 467796275, 280885218, 51444380, 958315367, 482996521, 171852395, 271535765, 139329910, 600210534, 330036565, 369325150, 374288494, 181009456, 998950153, 341712313, 901914490, 754282166, 798955196, 691167751, 710692043, 210153888, 683300487, 463372175, 953898013, 923787318, 168894396, 917691148, 364137082, 216204484, 397976522, 215182485, 66782943, 926439009, 863320620, 930326372, 204745116, 111529907, 652903570, 235600891, 529315701, 735351269, 440280318, 856129194, 346240756, 461142265, 954885576, 252212516, 494859564, 18252394, 697048861, 604038253, 700585924, 111464052, 772003503, 508764573, 744461014, 498194730, 192607077, 59014459, 252726994, 444875440, 895561989, 364765282, 122763089, 296380657, 708431098, 70029521, 784406828, 965752415, 393463064, 448634990, 62529564, 179442073, 697680816, 280770236, 588425868, 459949243, 609401396, 405381024, 108676586, 251651928, 71854382, 540292012, 406745450, 494548588, 480473512, 490311952, 156849868, 56851966, 876192476, 583636209, 31580401, 723786044, 420421459, 249267948, 373183846, 500132820, 650928808, 370649206, 4957740, 817081885, 499890236, 938184233, 353246393, 795521059, 781798177, 76004630, 665927282, 116385909, 777035354, 975828901, 333639193, 710839127, 861608113, 691188115, 449093713, 198955798, 331442777, 23341620, 425004840, 418908931, 369054877, 778624723, 121621090, 196836658, 189717906, 80004680, 382851612, 518327869, 376811770, 429464571, 753600420, 467779552, 158772213, 773311050, 643621064, 450224496, 571537341, 313607706, 171265985, 332946220, 40192530, 280359633, 590010725, 433196885, 768913760, 514731011, 491723065, 476451660, 892432132, 115423475, 463917545, 722189036, 385693403, 743437116, 510331629, 14200148, 586808507, 369926119, 442381074, 665205813, 852036598, 362580290, 301624232, 344146079, 240517067, 506850346, 726396608, 749746203, 585210702, 164581525, 553353225, 636655656, 856476935, 182963029, 874282120, 605443271, 70079119, 595545509, 535256983, 284379026, 194278783, 155954826, 79156837, 207733775, 257226120, 306109780, 114930835, 993927157, 445113153, 916699238, 408571174, 692104553, 890472899, 287977210, 492923516, 313351616, 574931743, 123828145, 126038280, 952942697, 154926875, 215392862, 962636104, 792592391, 867420576, 772566430, 343796377, 944327292, 917631669, 941743080, 580458101, 626767564, 60667043, 303696728, 163173580, 105376459, 223085301, 134147597, 805526319, 597678708, 508275676, 550971728, 741485076, 630288688, 999959099, 644135653, 306694135, 650089660, 481531597, 879447963, 29798766, 668869840, 716640393, 195611051, 548790237, 201467479, 324083474, 750434048, 466752138, 266737461, 244413667, 895685670, 832398579, 959158647, 315484542, 321277731, 153834493, 484278430, 516506539, 756272074, 307437792, 680894127, 873232577, 348409375, 365924454, 230497815, 870640109, 246289828, 377816704, 50401191, 96489057, 352049463, 816668093, 10241209, 759982080, 283198305, 341623527, 786239615, 976339601, 251209009, 201502676, 836623043, 477105240, 573567639, 823734383, 902433386, 360646602, 617810974, 69894342, 839965842, 41526833, 350967152, 836619174, 404723997, 939156721, 972018230, 285599318, 947371776, 465399025, 60749986, 183940662, 216537699, 534120469, 122598516, 495470097, 709028289, 216717789, 70268480, 990936982, 777553074, 787344075, 184022448, 32194494, 570215090, 952124515, 496548787, 67827971, 750286453, 331416370, 914571613, 443220164, 345585511, 275183237, 548164867, 618671830, 448006778, 26922112, 638465674, 658372151, 218162064, 71861337, 418494918, 373580448, 441538182, 25197456, 428617719, 327359659, 786141098, 199357039, 291628709, 724531365, 175653246, 200219524, 190346582, 713644324, 250472405, 126779823, 976930012, 161327001, 445870296, 68395385, 921090469, 543120269, 564029886, 332899960, 929636136, 840174534, 849142793, 554057826, 561070101, 839105154, 897524003, 945926415, 552268877, 399520367, 631118031, 972303672, 398719234, 65094440, 770591899, 681985616, 504722760, 134546445, 323833377, 922028817, 986696610, 872840424, 109029801, 859591417, 86959283, 495334232, 538905226, 567910125, 959404125, 957973903, 292951378, 438216158, 490267170, 875511373, 835958362, 768222525, 137793698, 367350187, 524460436, 20607206, 526642120, 467437025, 562688367, 161899453, 731786549, 976607553, 605494158, 381433095, 574132709, 469278264, 982482335, 142876152, 895230683, 943225518, 189338498, 965772079, 152606469, 296363955, 724670356, 912314485, 260603793, 983075145, 108785951, 508067371, 974104727, 757033131, 47173310, 664152821, 232774320, 257816407, 906639417, 218027397, 40484081, 139745142, 328568553, 848017594, 719196784, 656156307, 186502247, 346514626, 326492481, 320073786, 560144498, 140248345, 858550219, 973599894, 219249921, 21044390, 670577263, 413784229, 629671095, 682135776, 474711026, 6005323, 765436990, 885721272, 738549208, 420151591, 602566315, 658609692, 919528692, 853127508, 317258812, 485580638, 727757853, 718091994, 399410229, 34652787, 322379807, 700819777, 909073242, 331975559, 664268994, 931553147, 653395789, 769020407, 780900410, 11025660, 227818113, 484139613, 432959142, 88997020, 543221710, 321408644, 801196849, 728574470, 402490877, 918246521, 691370613, 214028968, 959647728, 464842213, 663373800, 274559847, 757987769, 983186324, 501975515, 927224479, 231005399, 586677353, 45782049, 296829649, 678856162, 95858032, 635221956, 551199915, 841555778, 449289242, 608138582, 72660505, 798077801, 224205948, 480472978, 460628756, 443412624, 357975082, 429510570, 293607334, 855470494, 968254758, 261952854, 182981974, 314777143, 240740675, 362126319, 824482246, 687609476, 337694804, 817412346, 969979718, 270606990, 655352311, 500315719, 648058595, 972127231, 155445550, 525365118, 928728931, 497758841, 134605705, 561755786, 834677085, 200384731, 589593068, 499259289, 541812393, 775551519, 202487900, 222519852, 439129086, 797079090, 100051539, 886645741, 433763923, 312743293, 955210161, 684615865, 369875521, 256393581, 675913695, 282625300, 768934543, 4417206, 163763541, 756102252, 637937470, 417967485, 791796288, 961180390, 186606235, 935960413, 682638268, 50924304, 3933807, 256092067, 1366342, 464017715, 334171124, 645178173, 426345309, 801174697, 232188148, 197147039, 616305550, 721874668, 652739245, 874618374, 651628291, 791203369, 534887119, 875802619, 431491374, 141165871, 749324203, 51196948, 841530975, 446225699, 689143256, 863641109, 793692858, 984994617, 953639216, 146526507, 434889113, 255992444, 599190496, 342791457, 111341359, 794594069, 783834095, 460721056, 206877888, 652932992, 434812772, 562546831, 965269982, 389936314, 232534079, 359743296, 949731858, 575462856, 79244676, 722087397, 588769984, 84449803, 151369284, 475800445, 236644539, 312581742, 568136381, 465892994, 667320419, 489544218, 332188376, 531164474, 695283343, 351614460, 922207162, 390237027, 152348348, 266270570, 982775041, 684318822, 788235919, 775907819, 484576791, 506562958, 206543270, 358542787, 538415426, 945693360, 121434455, 200818592, 194753870, 10520769, 628607690, 285205795, 643296214, 936346845, 685268856, 812895569, 142342149, 80798203, 151301972, 728027806, 78155076, 890317439, 458796325, 734671262, 503973961, 899634035, 581928668, 920317014, 19070499, 912396186, 817753676, 895895365, 291904051, 11751454, 673372922, 309154079, 16844291, 266583100, 366343257, 997329675, 557494192, 601448346, 22511813, 384017767, 814119384, 397443100, 956954416, 357421734, 180949593, 730321001, 736214400, 283578618, 785673587, 482342682, 896703341, 594723969, 767724024, 626839595, 15107764, 150208408, 245615218, 943700230, 128933319, 661429486, 485396310, 166989113, 799703074, 672875441, 588684495, 879352949, 805347612, 848074654, 701595869, 678273878, 415168061, 636289299, 770514626, 873856739, 452061571, 19493776, 648876986, 29585257, 964838142, 490308806, 519898295, 664345035, 90966790, 270310110, 162228522, 587995622, 290733306, 14584422, 20758521, 279102929, 755033255, 745216, 822224178, 38602452, 313638057, 497860940, 910789932, 858545326, 599629104, 986773090, 70566495, 654513257, 9090310, 24851194, 847415795, 81074957, 495909556, 452057592, 674304556, 291720689, 493730442, 83631688, 323093331, 951201546, 832843092, 16449382, 489301078, 630671871, 381475960, 883033149, 602870578, 747509890, 692345830, 874799323, 905922865, 798861771, 256224501, 30942935, 652884405, 288178489, 632838431, 495575275, 478641872, 58556155, 568021944, 986904513, 463850961, 770470942, 2326362, 375980481, 948623405, 907456838, 614333368, 790158070, 903469461, 191497204, 918905991, 969339255, 212828402, 152336227, 70570967, 279490161, 574443642, 334323107, 59455531, 352579544, 107569391, 856342642, 552729520, 289272886, 597136898, 355445342, 519459776, 215040700, 866093004, 895544993, 682682822, 166793107, 859943628, 202998679, 347803721, 456269304, 447675345, 563398777, 432870151, 719846469, 267480088, 901105877, 981178328, 875907128, 759821478, 398979763, 430449941, 749448655, 141853137, 365919660, 453043675, 655490084, 829066270, 476333844, 655776598, 991324506, 220109239, 853649590, 692526508, 887634313, 741171437, 399884955, 54594303, 776356237, 208197577, 526444339, 120758200, 540818605, 810037417, 704105542, 814069257, 355709088, 386294256, 623696136, 787053297, 473910994, 350501450, 185226395, 915584265, 698732034, 379422619, 995399067, 132458880, 440713975, 943276396, 206473781, 828887956, 856715140, 439552026, 641805196, 880255083, 787108519, 461551515, 763649557, 282797221, 560748040, 466311501, 298630537, 387865656, 452477152, 118231865, 324202402, 256469861, 496314313, 696304588, 596026258, 174715864, 639004751, 243009454, 666630087, 520403727, 267033748, 348057792, 684973082, 507619261, 914749136, 379371808, 538169520, 145498560, 336700401, 585359835, 354424664, 195997239, 171819890, 637011823, 230041494, 232064374, 496844790, 83775907, 330850834, 826199752, 775186436, 788221721, 728907966, 809123422, 438890988, 281574878, 339314727, 424619606, 644923795, 565065506, 517990277, 54848275, 343874973, 723338410, 713049027, 766985311, 932473378, 578696185, 689350884, 352272734, 440409016, 858117263, 113789611, 671021911, 312751005, 217866827, 660207492, 282054823, 862756473, 477128923, 348654750, 982862467, 993589270, 100088473, 614342573, 367547699, 924825284, 306685823, 290002644, 451994141, 554454797, 260616847, 382132816, 456829770, 257982752, 252652600, 806931226, 14460290, 27044588, 254201711, 621468797, 120911975, 25974614, 735618204, 819183427, 393716266, 778148217, 761992460, 269301138, 239332957, 862448948, 153746569, 985806327, 739288094, 437389534, 506602262, 641220760, 86775938, 703675679, 296318354, 25576991, 777575852, 303064074, 15143586, 829980917, 237447739, 554589218, 604371189, 234331940, 832498931, 91973940, 211484865, 161172571, 852053011, 382453869, 984189448, 94480683, 868761452, 965479009, 591664967, 181967024, 451090090, 942505492, 893319038, 319364456, 870461452, 694507177, 342084890, 165249536, 572205981, 618246587, 960284116, 356594950, 681944367, 545386101, 148672141, 948262533, 493205113, 642025803, 719929652, 259833886, 296829777, 668993367, 979474244, 663309934, 915875025, 717555741, 176772730, 466964330, 972916374, 824655995, 612222356, 716184918, 234690425, 667093229, 679182069, 180829615, 717232235, 619374456, 665344420, 160475692, 937173092, 451290265, 698847830, 895656770, 285784355, 112904809, 742141419, 409486875, 54165492, 756609185, 790767975, 293671891, 133640718, 98137931, 687153752, 910153839, 644113458, 308922925, 754291746, 80024014, 993188150, 918545260, 349731602, 810253861, 745418011, 532093722, 747670870, 67994161, 220139902, 288024810, 442889032, 35745642, 780208764, 907437674, 526965944, 830445472, 141102296, 909407529, 370468571, 288428484, 425262669, 835500738, 340947250, 617106209, 453766252, 147290103, 309208524, 332519526, 217380476, 456094364, 961476614, 785146497, 433104183, 810500946, 697196408, 222016721, 147735923, 779356685, 688949090, 465142709, 220915609, 685394997, 161586723, 141735279, 408633910, 619062152, 149043031, 806042480, 660808891, 582091844, 646261242, 618410, 740620670, 962921007, 829708339, 177198287, 139185645, 154934116, 332869410, 183514809, 526354280, 274846633, 478956333, 575369483, 412617216, 762659844, 722807424, 244498257, 983662712, 222669348, 330300989, 960741756, 116892145, 45668480, 100495268, 847769746, 494018865, 381441083, 817391339, 433829954, 712234932, 761222177, 502561548, 912690545, 674823643, 523130346, 104734318, 756094088, 966291985, 347489277, 338249913, 512446119, 504165240, 725451021, 375782135, 532188835, 597791956, 524551474, 794084051, 130320774, 114096078, 104709907, 622904041, 805547514, 324740492, 113123319, 412448521, 985929814, 599419106, 54523901, 392607608, 334282936, 114951791, 319570576, 114194945, 973841894, 110652161, 550742457, 47101653, 31963195, 628611906, 589911586, 62634234, 850782871, 708904817, 150921320, 652258459, 873572484, 110807640, 79152626, 911367464, 83094153, 591488090, 423908202, 568049872, 198075196, 406291820, 393725215, 76936961, 852595018, 275384059, 834837226, 125331771, 262797990, 385918415, 338816150, 575452759, 474690548, 362504677, 781861903, 542905832, 385993371, 489248163, 509536466, 507287103, 186735314, 145215553, 605739580, 728758128, 709374407, 836589511, 211580448, 122272610, 114297439, 678603469, 941159335, 697220322, 585440651, 161749105, 585554105, 363462453, 699715191, 447758073, 636499310, 703033249, 228473291, 609798502, 34543524, 520590068, 632522248, 225318501, 81713709, 939956662, 109626249, 159321616, 220515110, 35495444, 704569366, 66063165, 994434197, 735686974, 30716684, 32954171, 986472967, 198804786, 859626549, 481893714, 311966788, 770108148, 451832145, 312435714, 878224469, 402594670, 516480149, 340812188, 577849333, 335531648, 790139766, 575501144, 20074617, 693724053, 293167754, 994919211, 562869025, 129507452, 191508034, 870140753, 56047313, 551527979, 61811968, 285584627, 33328593, 462143193, 901711239, 3839049, 962126371, 259631790, 405445156, 297490662, 392481940, 411257565, 187185138, 996829915, 492290409, 669966383, 333203453, 459724269, 482575491, 582581997, 371432063, 199729181, 686069763, 346314071, 123050611, 824480188, 124499439, 52650978, 865353273, 368261485, 24881613, 701073088, 319396489, 691586765, 475223909, 74390366, 536846112, 53188786, 644836271, 102647120, 709925049, 356548252, 451394681, 360599504, 951361826, 245839023, 942496219, 483222776, 706656261, 820791317, 449952553, 499595817, 753182741, 347880611, 356634204, 10947438, 208774870, 58285304, 951951122, 400037059, 448747179, 876799362, 147248073, 141085814, 464599129, 742551144, 836909331, 637893993, 101913891, 65191905, 849792775, 291880390, 460106495, 304559476, 118000142, 611710666, 924371587, 366362349, 443323059, 914115465, 425005507, 981649320, 372635212, 994298926, 539047597, 262107893, 922385333, 949858349, 887666526, 498908797, 605729185, 784240505, 636668015, 462637665, 234550184, 769406235, 424127482, 117337155, 522245458, 371562589, 758980106, 553980108, 654971621, 158352645, 652259175, 216475488, 140669367, 511115279, 979731055, 621833914, 216514877, 384527840, 803977341, 773637396, 850852054, 133961208, 747442541, 898880329, 252813859, 454621418, 274597410, 814783839, 549559897, 631866532, 947147293, 948674252, 777472383, 387054676, 350660752, 761702649, 567338215, 800109996, 501383763, 811565590, 604491446, 847086148, 373961812, 303856435, 421941343, 121961547, 121435845, 410907267, 509785496, 129476736, 360258087, 997029164, 977136416, 993394682, 772195655, 995805856, 210091480, 882440865, 869958583, 646418209, 794445433, 658889317, 60588184, 418328386, 173168950, 441713771, 290736346, 531750748, 583633900, 933808685, 859091239, 567272467, 759986416, 785408863, 524678137, 107332495, 30422453, 728573456, 816993795, 764397388, 308564842, 876089984, 233551342, 272116690, 930299041, 298330392, 123869734, 741467716, 429249455, 984033974, 464817166, 791891684, 191861567, 869014641, 483754025, 311166741, 706556279, 540518185, 695648979, 206751882, 396165815, 233497442, 683437999, 333662510, 616775865, 55940155, 798395972, 930678403, 395181145, 672225788, 626992343, 436889747, 763923595, 212775405, 566686494, 730397262, 564022261, 178705456, 657438131, 87501909, 792957293, 836034789, 361846090, 904333724, 522625684, 559783354, 869207131, 788538582, 213619928, 609395192, 186450494, 26706188, 679586871, 83492727, 163871449, 710423073, 664433227, 69205703, 522681821, 700923645, 387703912, 419031468, 29219236, 23209141, 324244938, 37099744, 973228873, 634520576, 447333475, 234800459, 239398804, 144794143, 637869225, 515844524, 434016146, 511187955, 333423311, 526530832, 625279823, 14912588, 646542549, 717481168, 629496324, 766403512, 780831286, 840217857, 89465628, 707233106, 918416363, 494617348, 446573192, 713470002, 350904868, 347316307, 57765669, 384351095, 315880156, 974218818, 124665201, 992529014, 249590592, 534815596, 652290538, 181244168, 61922092, 220008911, 142026713, 671092873, 264498505, 370482242, 90771651, 243723750, 162431447, 945747403, 94796884, 768018322, 299081104, 96473894, 763302232, 971543940, 673869773, 559952396, 789325112, 95166449, 434535304, 438372342, 363201109, 334251004, 485947993, 878883605, 133526893, 528450084, 99168212, 744589478, 741568127, 449792404, 354164562, 40375492, 12209993, 580102196, 666777832, 602474072, 647948735, 3737829, 147751414, 773040052, 182635, 108778522, 568915043, 787584675, 427221534, 967662863, 859404736, 230266631, 658903434, 945692375, 255661535, 496239450, 691548400, 501213035, 813750059, 242880991, 165912636, 790181666, 880996728, 212017848, 908340205, 547639609, 263463691, 779849829, 640234328, 824049284, 586197647, 471645518, 47731671, 258785732, 710305963, 737106960, 648514728, 89873066, 955517360, 484847967, 136349155, 671550111, 580228564, 395546022, 570672797, 34634363, 138563209, 719364670, 640889735, 116493170, 330553164, 717593690, 355072441, 646996537, 736409429, 304536937, 875603171, 77805015, 504975955, 683775571, 692648974, 477580255, 366324434, 511575072, 36026935, 809105316, 817485841, 234840687, 645176348, 853771063, 889540726, 847587287, 567830097, 990398070, 815594002, 352345377, 634786219, 845537276, 659902974, 359850463, 166696237, 475113038, 597847681, 774721580, 30447849, 175151725, 386305283, 105842088, 353309986, 95389262, 171545547, 51207066, 191166182, 787880404, 455287580, 267619981, 282034206, 269376442, 221163451, 208675253, 663939410, 769908950, 834433364, 157200475, 94759224, 382417222, 364239941, 680674440, 754315499, 607778236, 713645524, 650672991, 510334190, 786557448, 364273855, 726680164, 909368723, 295084039, 618114773, 439717409, 633683677, 779824559, 311910934, 794023712, 307373674, 975777204, 926957112, 252941124, 50785573, 804610625, 936024143, 705328323, 991314868, 528547958, 343660251, 57593422, 505592441, 522268011, 547220080, 712567970, 739742375, 442367986, 703320003, 749052, 862516731, 697482480, 129123574, 590728461, 192436162, 244354341, 828083514, 505729759, 904177423, 345528039, 843301940, 413327598, 932714483, 669800361, 955133641, 489903817, 817074185, 358601003, 483195784, 923673205, 391658391, 283769408, 209311898, 856254367, 242619884, 90972439, 412945641, 552117048, 651886848, 49875272, 31570335, 877251409, 286999934, 161043476, 802271788, 326931455, 273539194, 660160574, 220970713, 674741825, 387720355, 432281800, 387052952, 797462016, 49722665, 436339396, 222114119, 982585945, 360430469, 934968789, 588763803, 882675316, 775036124, 762141334, 933932690, 576682023, 390897809, 631623102, 421385443, 434248004, 448125977, 717347107, 780680535, 313021007, 387921582, 868018649, 598269016, 490296397, 321265565, 371399758, 158087230, 525243790, 750147076, 601180268, 309118558, 784521765, 731221411, 664426633, 340178558, 393941174, 259335550, 76125688, 587457648, 674636782, 123412327, 399726106, 921994469, 828178616, 572432397, 193730690, 330983783, 713409071, 513426450, 159876201, 279435206, 351228360, 19275485, 4304357, 998772866, 838943729, 856735371, 435789540, 516057022, 675194557, 897705543, 699456612, 205806469, 471189932, 141309408, 403507488, 670074850, 805910406, 689293018, 823221446, 505447323, 529813038, 429023104, 920854026, 306871270, 108533993, 999305227, 106501390, 938604520, 965434359, 61692357, 502421129, 302512105, 331560305, 714479111, 50864708, 729153386, 253918335, 924697082, 618477059, 495415637, 829388280, 135160856, 402771852, 363253716, 711462222, 342755251, 708128827, 423711621, 616603415, 802258255, 503073010, 591805583, 38656846, 661322254, 487132366, 445721197, 151427089, 285076788, 972628857, 213289251, 255591922, 721641107, 318923207, 76595837, 718208841, 954871546, 791534258, 365799610, 848691661, 247126248, 461966489, 859010425, 811370238, 472755146, 996242458, 513906148, 711807449, 54620974, 298083624, 420486212, 489082405, 282057687, 781017210, 604954060, 489102895, 430605036, 836465866, 679404718, 615443582, 203079310, 332917684, 51245717, 204650604, 88067932, 742769054, 123904803, 419039294, 830941069, 353198418, 763346293, 197230926, 98376231, 313123934, 245553527, 410841865, 803079104, 526696748, 839866137, 796758677, 287063695, 949846236, 280518386, 50892702, 790234746, 766085814, 835642842, 860820074, 239626025, 893266648, 899558582, 228369429, 951904893, 286558101, 4441901, 706962712, 23363669, 917928297, 239808199, 521156244, 303337947, 710896143, 458430964, 819070982, 569208530, 973490399, 358571557, 514845948, 998041851, 429880334, 151579152, 583697355, 443392308, 200974585, 907679799, 324840308, 799222916, 749782910, 278974195, 116185700, 831724553, 892030259, 155043237, 711052789, 756509318, 154838684, 313367043, 467877714, 690160886, 264195313, 245570771, 987956253, 663900608, 621674438, 657099925, 973484081, 272279171, 424127481, 200940882, 527963458, 134374478, 48090944, 758994160, 54006683, 348725734, 754989485, 732886245, 539068323, 4999465, 804015582, 262085601, 912819551, 401164581, 549972408, 259711981, 156918579, 67819713, 2860541, 544413692, 268687525, 459777126, 278608561, 50958690, 21809282, 936296463, 811239089, 199973616, 761078770, 722316254, 500115719, 679162896, 381163849, 675512751, 299986512, 536323751, 427433484, 561497111, 103699433, 348339397, 217002553, 534934967, 497958696, 379682404, 872329413, 179176950, 548855106, 35799405, 930860742, 315749807, 834344525, 37550344, 208769757, 536872294, 33748932, 37439942, 593306682, 67684710, 196206784, 115351515, 991139841, 114072939, 818240233, 565625601, 625095802, 977022434, 604099737, 565218999, 473646299, 439320491, 816015938, 631013132, 626334419, 186400599, 882151420, 981399434, 66803220, 393353039, 829144641, 462542281, 640433211, 503009605, 606908914, 825420360, 295650246, 342304395, 789033465, 215086700, 855420574, 131296247, 993657577, 87514843, 382009611, 688253913, 221869744, 128733517, 776687996, 735520176, 271400720, 345321372, 539682369, 787331048, 529096126, 148141681, 690262202, 218789225, 372898988, 508926927, 862576544, 624765648, 260694345, 41125454, 754571273, 977829907, 876247028, 525039308, 130712689, 946705074, 399322890, 171775821, 973250829, 17890508, 289475912, 952751767, 359690128, 161935639, 999393894, 465129521, 158354601, 724105866, 215680689, 355851980, 942773758, 98935929, 144803849, 284606955, 414896528, 433503558, 108557301, 42143237, 578031597, 342057903, 201923442, 246782288, 900603515, 383319619, 516229516, 787525200, 758462287, 439931268, 279821553, 573032536, 154025070, 464142181, 998431397, 308974470, 786892252, 126168762, 379370937, 896648525, 909465483, 374834653, 370002361, 47532589, 996819098, 591585621, 973864421, 607526706, 702396132, 196838322, 744929630, 863794782, 902315058, 615206820, 434310129, 528075950, 518089603, 617336853, 36094186, 183245483, 16930329, 745132718, 93601774, 14713868, 845506957, 296106643, 915699119, 927276459, 659101344, 887402252, 659580542, 170726278, 556771164, 337259837, 192352288, 43020394, 162901129, 84417560, 408718049, 65679967, 375209297, 309098306, 779129644, 822837520, 265512127, 328259286, 27935292, 545806242, 514797660, 736882815, 553306784, 387120956, 407207802, 255363472, 819180375, 407385551, 722700999, 38411898, 592379784, 586382632, 271642784, 159017557, 296528475, 491687592, 201786728, 280676076, 678794601, 852635187, 162451953, 414863116, 721311708, 436516355, 1178999, 861766954, 561986646, 629639024, 442286279, 243731837, 929665254, 418386178, 781560318, 541822797, 697817058, 231220914, 891615077, 918384524, 711184425, 939184450, 107310140, 122742854, 832094229, 121529173, 340919545, 945921201, 430030908, 431462707, 942632119, 523166618, 778467777, 786254017, 691364177, 909300008, 766191707, 641488982, 907281837, 727723414, 739436467, 693970169, 44074125, 911030741, 106078522, 878561881, 137711288, 584518700, 159024972, 177096819, 287016287, 516715443, 836844846, 371185033, 16379239, 665482751, 337738038, 772545413, 718816596, 376927706, 648830282, 963097343, 327736411, 762318164, 946543417, 34576269, 560686002, 580268397, 548484296, 427902751, 302815133, 199877298, 966115458, 523889527, 366679991, 170583288, 504438383, 458389772, 873804234, 163457852, 677036288, 522010530, 648962186, 653475565, 353069803, 193472444, 343264989, 884524028, 284690004, 571688077, 925462329, 773892153, 999270592, 143942920, 799256578, 920592757, 115366565, 875458771, 762236727, 860865666, 956443185, 855217228, 356322323, 750283209, 343698327, 904836744, 872445976, 802391322, 849413614, 439316870, 499446666, 382870006, 654701659, 902438931, 301712444, 568513323, 103257806, 794959294, 468969021, 510938210, 309391607, 546747152, 637031744, 57779852, 836056124, 524847918, 288018440, 297107209, 953801745, 836933201, 564579217, 200245564, 761848211, 201661058, 535616489, 434305232, 587552991, 131621621, 285704237, 555418568, 438427205, 305140579, 345026500, 414052839, 377017381, 347437553, 534454741, 633516975, 297241387, 992759648, 273227074, 258396668, 124635619, 771665356, 483459032, 3986571, 448173848, 627286407, 101162590, 656977643, 988789740, 705587064, 712439783, 282580216, 269527473, 174719818, 192450692, 81665048, 827602920, 901957157, 253867285, 971444006, 963946458, 183404941, 808894722, 148512446, 467989853, 860333484, 287576423, 859896385, 576535000, 58275570, 454720632, 482560810, 676131790, 741969582, 856837271, 148273919, 412043906, 589386678, 660034506, 100442320, 211084914, 741722691, 501608998, 905136359, 473674000, 261378343, 308260669, 737252421, 513343871, 303420822, 377680622, 297816455, 192703364, 86180594, 262976151, 470593807, 766221573, 523425597, 18369709, 582586594, 15431546, 238417944, 298878487, 578107427, 286902568, 407691347, 120100474, 919717905, 403173524, 259709695, 563377762, 954103173, 554013203, 740661171, 866702194, 255372010, 290701040, 813319484, 944760258, 62161000, 575581408, 661467622, 681748516, 230522971, 152343446, 186785174, 91074868, 462099824, 847274327, 970169865, 37771633, 133096866, 59317043, 79387510, 373048438, 40350819, 135772408, 221143684, 814993850, 257059509, 710605563, 725466403, 633980993, 796634065, 158064301, 233958291, 805891383, 979293416, 580329628, 787262059, 633314621, 231394192, 675461348, 938708222, 539123600, 813498459, 199103236, 720033974, 842461065, 54453788, 609939687, 846846107, 649699540, 528539586, 256630112, 664780586, 777273222, 480716841, 468197890, 381953298, 819932316, 459032856, 954516687, 61716714, 577057795, 265102803, 43249939, 992221166, 569672702, 230453523, 940752640, 820142267, 149279043, 75276911, 797608117, 259355897, 409225133, 753187712, 48702654, 336722569, 927771529, 123890469, 922897682, 994569163, 589527140, 601278052, 260573311, 720357870, 166711485, 998362029, 450033896, 127827220, 175364305, 680385590, 570143290, 934914880, 594057741, 205405305, 632662725, 916002706, 493909818, 977316382, 999347937, 65938021, 427623801, 43442589, 117081811, 342754821, 419143568, 287965578, 693153874, 781041860, 627247954, 680444978, 812797036, 175025447, 907627796, 996432068, 461847571, 751628028, 915010356, 343108941, 611005078, 183083677, 485926380, 272269316, 293063156, 204409997, 697182210, 529853431, 435410879, 661652009, 785829438, 6341402, 994915770, 359720844, 122316828, 696732072, 348164111, 960123101, 281562239, 636471962, 582329770, 151690646, 236261123, 918408542, 447320894, 75511995, 698871483, 435983619, 390437172, 139390533, 175228271, 562068292, 340638344, 265134365, 871007437, 181889623, 656654194, 588182074, 446073177, 385224938, 317508879, 492002253, 22288029, 716595596, 888505663, 290594241, 472521198, 202468977, 472285703, 675321705, 494308648, 238449968, 518373963, 597435559, 438590785, 899202183, 56119171, 439461682, 315768373, 612818890, 371080469, 547282098, 300606201, 143981703, 199248484, 513787731, 299664997, 223805213, 679201302, 294714474, 647997571, 443401398, 346999732, 395000392, 684692188, 264152919, 256858049, 175948175, 386779384, 352346967, 689434064, 960392355, 818854588, 97428839, 910509047, 88596066, 868588526, 476981223, 53258353, 240257037, 812334135, 980616644, 56043227, 606734079, 443226259, 583138829, 687694044, 137689876, 291439036, 818336807, 704806894, 424891919, 266463815, 719299113, 744006376, 814785471, 135633887, 733177496, 78247204, 751650402, 306450375, 673381582, 562259544, 706266178, 520540233, 889153174, 170644056, 494694193, 424345456, 820916712, 587748270, 922466298, 829471579, 106646698, 573779763, 947124293, 471129852, 286420668, 706139608, 605334642, 341523445, 444439456, 314294864, 794722471, 840709590, 896741938, 6175913, 464950780, 492717917, 601196120, 73460084, 83486540, 393934239, 228808247, 814285361, 641290622, 763575786, 418426888, 991665717, 910234248, 879095686, 216033299, 693452585, 487920739, 991478126, 731776621, 836124411, 983511689, 970119350, 565952492, 260660180, 466379629, 408585797, 150122453, 624533772, 28375586, 86769922, 207964322, 929931104, 83079980, 521791406, 909693144, 964092031, 254630924, 237638256, 151413174, 488120809, 150378657, 51487877, 947028469, 315685109, 715652862, 980635361, 523588016, 44824741, 730017625, 591434610, 701113798, 730103128, 415707599, 101409332, 353876396, 198850418, 665632711, 482693909, 516084758, 162103090, 695144079, 665979495, 590955810, 923775223, 721169338, 883529679, 740595304, 892709399, 950614139, 75297248, 282862842, 564393186, 275473664, 894550957, 825765083, 352110602, 66099804, 153476348, 45403193, 488438243, 556943640, 760339085, 742048164, 297199625, 714328309, 61781913, 627797587, 56510512, 817810275, 713808866, 580908476, 562488369, 487994518, 79825604, 917080314, 955746867, 828527122, 100088772, 451872031, 154726852, 952081214, 846983775, 309451426, 868496750, 606893344, 143942251, 533862662, 246123437, 379830087, 905397028, 638857002, 487279854, 921290830, 655604205, 955731528, 922131916, 335767429, 575939744, 165216627, 856969380, 299267618, 96940553, 329230750, 374215668, 564289494, 710375848, 632804864, 287261323, 240101972, 281434172, 755471750, 969789791, 521449268, 475047117, 418723320, 334261201, 666269923, 117665135, 830418001, 153786364, 881510295, 776763567, 593413455, 23321095, 936216165, 208823522, 334526556, 535057523, 472955044, 965896881, 835426941, 265338622, 654860335, 212658718, 156227112, 225830579, 920841862, 97642954, 279322827, 597071867, 841172676, 422931805, 232809159, 505316937, 967089300, 483484504, 103309439, 122191885, 411098523, 987459320, 540692627, 344270089, 923890182, 756264174, 429282675, 710638310, 260500221, 452307232, 190790846, 703351558, 826353309, 932245433, 458718348, 440869037, 95711352, 961050530, 612430014, 714095832, 838654919, 833686122, 959015882, 617132287, 591759707, 906999256, 933221441, 414681774, 157358069, 346768796, 873559092, 275311548, 901399133, 491666736, 61002846, 311519348, 540064519, 870150750, 981897249, 906716551, 235862751, 229640853, 830463082, 397286167, 692133278, 957481549, 549653033, 440077558, 788977986, 584865906, 287106195, 475247429, 239163926, 26780037, 424774902, 763680185, 798166802, 525596468, 329936229, 464958632, 552335185, 800783620, 863015384, 693588186, 806811423, 164402765, 485026128, 584302578, 339284276, 234443784, 899814044, 62801894, 122047038, 14061882, 192416967, 716937743, 264754244, 804417461, 157549301, 631406999, 499038610, 238484492, 687822551, 443460025, 249466858, 760372310, 141706574, 708815330, 285793087, 886740026, 503870195, 388580988, 315699850, 784007050, 908872184, 826480710, 291748471, 350112169, 934068180, 982291152, 523056729, 868858960, 534263673, 49796801, 506577900, 776837321, 303474624, 594791881, 369776795, 690084556, 48404682, 967451709, 117744449, 745203079, 401720533, 184846091, 435815392, 533235548, 683698742, 61429920, 109751208, 61993444, 594544909, 215582376, 614222383, 39079321, 769042729, 938925663, 701472031, 473374767, 500778991, 615698461, 583252897, 562398639, 59244887, 299947642, 551763428, 168075786, 116343891, 532351958, 762391314, 859096579, 873760453, 87831091, 172714012, 718044495, 65589027, 745796636, 508992133, 344301778, 571924505, 650814952, 687683002, 854407911, 633236124, 58273804, 15004485, 376501697, 536860891, 32201389, 527873894, 872541416, 645762421, 130530668, 773235388, 218130846, 640163770, 125554671, 700800870, 937442264, 280623626, 596093742, 33235938, 487866024, 401145028, 441355449, 965234949, 834844497, 374988036, 674694939, 427550041, 821741851, 121483976, 692554721, 622309477, 202812072, 970361005, 394407121, 499186524, 449148526, 773619312, 870774967, 460168166, 915796113, 614369025, 103288862, 755144645, 577684255, 363840181, 738655687, 195474754, 548639807, 585390587, 672922798, 438204778, 355929949, 736839939, 474433349, 479866518, 676532518, 705156272, 171220251, 79393072, 143835631, 380050591, 138963098, 696201416, 736719187, 750288917, 690561354, 105766936, 763322654, 762652220, 713379299, 191503992, 397094154, 840692497, 648409904, 7792449, 989269389, 277374296, 554530580, 128419401, 682746611, 918027351, 370681349, 217935349, 534943883, 84590635, 842316012, 200860060, 776868523, 571609507, 547755948, 498478911, 139292891, 542338304, 420395549, 92549880, 534257067, 22898025, 455377957, 174717204, 164140555, 849989774, 123620176, 644576441, 414066722, 729138040, 824572432, 947834622, 180464031, 710890653, 472271017, 613674905, 593016128, 871038411, 399191, 190398952, 777478367, 479111441, 248375976, 937647836, 203604353, 489502750, 473073985, 933424578, 702303676, 248754071, 720356513, 745699978, 631072955, 895742857, 779744951, 755545125, 246730262, 280100439, 815866078, 732049361, 329434046, 274732383, 132580788, 320488189, 35518717, 617905349, 559340992, 956823223, 555161611, 632843321, 734661996, 12015986, 778193767, 83346726, 120626162, 245615184, 621589550, 369104929, 738232059, 43491660, 536420941, 978467733, 615686312, 544896973, 738750059, 804556770, 796618719, 287304998, 286273513, 473665279, 748073826, 371210278, 262526552, 182828122, 816957295, 154390876, 801790290, 813098697, 794577011, 80515197, 470278221, 506059236, 436189703, 966918479, 626572719, 245863160, 292184347, 911921762, 773952225, 219100443, 305614933, 740449676, 973335512, 868851964, 576700937, 854547821, 408855037, 578352824, 374199105, 364339430, 415329736, 706182885, 216151965, 654681024, 738362851, 723023314, 385546647, 797520396, 368285767, 907073547, 378686891, 746058190, 469574038, 226396615, 343991409, 855212674, 37069095, 136037335, 512681461, 181537820, 628788994, 154831616, 454888241, 674796279, 997708893, 323160762, 614452030, 886986660, 214366572, 250248939, 838397244, 830171495, 496872500, 470276641, 367104959, 370239443, 459262182, 147657407, 561343399, 613019485, 770594008, 481902937, 839536177, 700971153, 577567232, 498919850, 152535211, 936202494, 217615955, 662842516, 737595672, 418881311, 492201555, 760533546, 592786185, 374367012, 800635234, 552962428, 910501877, 601250324, 221993220, 173553811, 504954057, 163235665, 526210927, 917425152, 94916067, 946711251, 316396976, 642635578, 706873873, 604515209, 105376410, 401438596, 829951653, 933144992, 675313252, 924657052, 588707748, 235916715, 991979999, 562613924, 929048842, 641934737, 312790544, 894788696, 895646083, 482784340, 90672080, 342929734, 548608281, 572932609, 547998283, 558911653, 27209108, 876357712, 462839669, 726714504, 102651069, 327120614, 49479217, 728506248, 382596010, 457480722, 769893166, 764179563, 700251204, 435379075, 636429166, 905778713, 43770334, 679374076, 323322269, 687494366, 998107963, 271564500, 990515627, 308231711, 628837893, 896128917, 843320208, 382870887, 264714357, 85139429, 140348119, 578631147, 354538822, 4048335, 210195764, 629062578, 387641628, 221676559, 347311946, 298561879, 409653590, 106542022, 405292117, 986894746, 747645365, 640572775, 365361789, 839032085, 346573067, 230133271, 850199492, 685088021, 255108698, 201707868, 652329975, 340873078, 579521357, 939530378, 797875742, 173243649, 518461988, 773598598, 167654640, 891350609, 420109056, 241438267, 965409057, 846322747, 255442642, 293168890, 477309059, 214401933, 151575989, 999686802, 671438292, 403217671, 279827496, 773686537, 624924847, 864109687, 498835900, 526181526, 424562823, 370132077, 958021142, 619361621, 689926739, 914945229, 275722006, 451459162, 505418695, 786306709, 788057705, 399418096, 327174521, 995846504, 848399330, 366626143, 892714067, 784665677, 796982979, 963692215, 838644547, 250909301, 215607524, 209425645, 33637024, 487570401, 944090701, 236637806, 261742033, 961465464, 20203639, 943989676, 404364187, 21084007, 937641771, 988076060, 23371151, 544545664, 77781758, 754681749, 67622818, 635418340, 866612061, 140485141, 191154401, 636846662, 190714451, 2452550, 65681144, 196385762, 285441348, 616432652, 105624619, 656991385, 633956222, 430353799, 80240626, 934954835, 80890200, 198959226, 635493068, 819089308, 605896178, 485714928, 241218845, 722625242, 371366260, 792131562, 655871913, 791038563, 190839385, 864979334, 430678910, 847052480, 802288291, 773241783, 993873579, 57439035, 343400372, 368124417, 754096227, 371522658, 975032317, 449630689, 909454111, 690107781, 814417687, 144781229, 115784844, 285248427, 198444196, 789288102, 668831166, 309150763, 443360455, 109485013, 680025273, 62376392, 311141990, 743072586, 667526187, 30578159, 994643860, 74715494, 212887928, 148237342, 760203288, 745330428, 196606693, 987754525, 437758794, 404891190, 937507260, 613065375, 102070911, 15229914, 151328645, 838102532, 236232220, 191519346, 429042201, 478285367, 772631417, 20458334, 940311693, 276518589, 477835738, 246283514, 97074812, 88734161, 92759848, 991820124, 102495961, 314093431, 661353111, 971206438, 812007547, 414036725, 482045967, 154771634, 811610519, 952305795, 801942713, 198903183, 399949626, 353840075, 584403139, 466768740, 947602240, 127701071, 252170247, 211629586, 347497091, 752980204, 558608593, 234034966, 680793786, 434144943, 57958290, 606329832, 353435816, 9006563, 894976813, 295976637, 334004455, 267514398, 656565280, 364751667, 59398178, 455763576, 44453277, 863027875, 477682748, 839601955, 141301828, 711649616, 754187159, 77493080, 766826490, 168228087, 307978046, 621514422, 7206479, 623736142, 597169952, 955865176, 32435835, 34354190, 633256567, 979190122, 788668453, 957222349, 950409696, 864639486, 745587234, 45990883, 553811285, 230963018, 648629578, 615339344, 594159037, 113687207, 482272232, 119558572, 21751453, 742704770, 199786164, 734535653, 605823319, 731709787, 74619403, 538943114, 409357894, 649600862, 253730538, 562013278, 274455824, 517429287, 783469245, 711357188, 749042768, 883933280, 173351592, 686265159, 975352470, 156354564, 485077778, 807096668, 966395511, 782080199, 854068023, 96785181, 745293616, 851404128, 544373979, 680728077, 447380400, 820657423, 267073584, 266317815, 928059589, 637387117, 803875836, 840953589, 175337463, 725246466, 595325250, 7932068, 319641824, 358185802, 444374662, 522445087, 883315649, 438792029, 822661433, 363196247, 109490145, 353379694, 932549278, 911392589, 890158943, 400901370, 278910050, 934345056, 288086163, 447397669, 529673002, 303391581, 642684909, 510436052, 2452068, 783500104, 213898837, 163176819, 935512293, 110894216, 387421793, 689705100, 716631432, 641549776, 216267831, 919877366, 372224659, 873288035, 583939456, 38472254, 904887784, 127864388, 645092081, 822067636, 63285009, 356798095, 459607521, 838805039, 632339124, 1468712, 345603638, 297307149, 894899100, 409565086, 312052073, 351531128, 967631542, 862708378, 4221787, 489024187, 460792097, 425122296, 701036372, 169239436, 494768730, 703596537, 67385173, 25248935, 240309742, 976449435, 715850128, 546273897, 398650009, 604461635, 892550973, 880573467, 357826380, 267726812, 119458518, 130031115, 479147030, 259399620, 713683481, 612300755, 160183579, 40526590, 347305188, 912364449, 974932502, 350439057, 883625829, 56311945, 737304420, 809564853, 159316934, 227438176, 20647206, 736826475, 295440742, 329147913, 96605533, 335614883, 809573801, 192244507, 13358584, 860718084, 770359743, 820901900, 592243826, 452370547, 508411417, 797887629, 50959861, 164955685, 970419576, 464568409, 94330999, 136983671, 414676345, 9144979, 94703430, 483891575, 616654624, 83233019, 545654569, 737001285, 912502644, 80498787, 799357849, 526498057, 506040441, 994825342, 457032474, 707597693, 454376690, 149429459, 565710807, 897185101, 879503398, 481909735, 804884057, 785716323, 217013060, 509816336, 314556963, 861767112, 193288261, 629364344, 491583266, 168127655, 254813330, 780232306, 426954772, 842167237, 274682856, 166632736, 499420123, 839558997, 424382775, 975315411, 938344038, 841052896, 652860952, 900218636, 520999118, 963747491, 643594968, 553093268, 112618230, 735427407, 443546203, 719741168, 258681933, 741408560, 610184494, 81265557, 401012702, 282621574, 143498856, 126869200, 657407790, 24582852, 520490498, 937823245, 852778650, 254141537, 422310951, 477771511, 246330956, 510450387, 162542121, 717534495, 656062648, 139109222, 382246983, 504158742, 756828196, 992001664, 422351855, 40593011, 912911695, 788733754, 568072556, 798263339, 468221402, 604627699, 745571081, 54329265, 224379249, 16978652, 158477961, 866341527, 754286691, 571870407, 61292560, 580928799, 809666583, 653411711, 711680418, 739784545, 461402203, 962552564, 700932188, 755151248, 872691290, 271840409, 144059653, 580569000, 934252118, 947047882, 821841106, 867633537, 57681533, 411543269, 249593245, 151495692, 376176671, 937687912, 400555785, 177861240, 144494917, 268959441, 173539479, 447521749, 191842288, 580573710, 546342650, 134134906, 244680700, 283203045, 498510458, 140316864, 81467865, 873366708, 919734154, 612221827, 119355976, 856832903, 722595998, 512198518, 199039326, 640300177, 516620263, 417863209, 480229147, 956452607, 839727306, 285531294, 36604378, 860114927, 318377287, 418197852, 993840005, 566446195, 975488721, 341189208, 627622333, 73667105, 464333402, 193258587, 166718377, 70390886, 174373372, 838006823, 765809563, 665977461, 187569982, 30626304, 494538736, 949703767, 778590642, 949922871, 946869598, 915027418, 314072286, 624427031, 942500740, 359490187, 81239799, 759086484, 367325823, 161645554, 785936762, 51373534, 326110723, 374272050, 391202444, 876225223, 935860883, 231896403, 671607089, 110891714, 373375991, 445458918, 528993496, 561880223, 450846125, 925988030, 138344035, 997994271, 65031049, 96349637, 660572156, 555040750, 590393181, 322762122, 415009817, 148320367, 158407900, 952772042, 902890867, 551586489, 940862323, 843626195, 962771051, 603844712, 666644326, 374393081, 225191373, 21278118, 57386114, 15140219, 925951430, 46335618, 843157187, 141149602, 64428558, 702979676, 885069899, 529192389, 483243507, 117237608, 714026187, 145750521, 852396971, 37046850, 94767189, 895445330, 799740360, 812901332, 958582623, 184907230, 922115856, 590526681, 703230716, 395789462, 441477394, 759258463, 440258385, 787725935, 291746238, 613189069, 702923233, 377404410, 139677013, 365998506, 961256380, 435969706, 483317906, 158209065, 546566001, 358204651, 853426092, 30055646, 457226199, 358745433, 724856586, 768422809, 330854873, 641213220, 153942009, 324250109, 668924536, 680109154, 93539740, 748750542, 473539826, 622399647, 334242246, 992224325, 200315414, 259639188, 989705347, 402103029, 804780574, 636010559, 708225532, 669232369, 314089962, 507265996, 600357636, 316063262, 116158340, 429456680, 444212202, 438217929, 63128353, 614818178, 692242563, 687965372, 228819513, 510121221, 75637643, 665214406, 397996304, 500153638, 897529117, 915367161, 240130894, 22520695, 276334604, 926866979, 833784214, 835016554, 476286293, 628585804, 410231549, 576603884, 249007509, 839417781, 294019159, 916456143, 175813045, 760308398, 404844998, 68542135, 840809673, 172275336, 103261200, 23025111, 538492775, 513109566, 241547863, 674047362, 679548637, 265080891, 633168424, 126774711, 734752569, 170848240, 497095257, 96371763, 738029873, 758523862, 271415853, 544068378, 154316107, 794368872, 303347802, 635748311, 962265781, 887943502, 516515780, 239200770, 971160216, 773593886, 928853698, 535568036, 492062707, 220549273, 498493675, 701574495, 161915236, 637896528, 313891535, 581291887, 556719290, 382376434, 823465065, 831466080, 500852666, 842344037, 790340698, 21438197, 656656513, 750827842, 377921990, 528448648, 141186589, 728260145, 670905000, 715038227, 342286047, 966812948, 144222298, 381418312, 68520645, 563380281, 415273682, 15968827, 161719865, 879505908, 873922562, 877273358, 580569983, 848449682, 2933244, 749962741, 460763502, 311975615, 439897065, 764334511, 683861148, 8292504, 107872849, 826696138, 692316819, 121112593, 975731494, 335653947, 815347480, 660142649, 43470078, 205605, 282176925, 359873050, 164584845, 884131957, 432446292, 901674386, 651654039, 749098753, 342301452, 706262918, 608352415, 886486860, 491619783, 809670994, 872524327, 104816938, 130964085, 813355555, 329442769, 524781751, 219965172, 927595292, 532647614, 564947160, 998086084, 18937753, 763726301, 683175891, 858516715, 995702899, 745889716, 100792706, 153506115, 76372012, 521483360, 283086731, 89611203, 31617480, 55198557, 57549565, 563808949, 510553989, 391500258, 768943379, 368518150, 221290077, 376202603, 93375738, 750648536, 284354217, 696136947, 906544910, 96760498, 569201202, 259008825, 918587463, 20558580, 499952315, 753891858, 541627501, 487667754, 38885217, 262145767, 278674949, 756776636, 319106163, 923211243, 530026639, 677064147, 565683731, 947684540, 266200076, 663528978, 573292238, 382006151, 335140847, 793845484, 545746510, 187456754, 467016637, 600234337, 187123381, 160403629, 934170495, 912361201, 366042499, 189110624, 33666388, 416863358, 801158790, 829543675, 592334777, 375418405, 683880490, 654654841, 118432309, 521899517, 726161014, 229011746, 297748395, 897545731, 382840394, 629694251, 443021378, 567238633, 288873026, 560698793, 327517991, 886367713, 378003544, 383172707, 896538270, 9976827, 115073944, 661040601, 1376214, 430212374, 439554922, 770063953, 781526973, 350187526, 316400295, 933378979, 173428392, 262426035, 814450884, 488592999, 802921356, 221797502, 880801229, 603392271, 670842584, 65877096, 340617684, 923083754, 600896996, 500098312, 426140053, 393785614, 257907088, 828850091, 818442606, 963762160, 410929983, 811570332, 508120875, 405539468, 100437182, 744662122, 153380559, 864870412, 58466468, 337220478, 738511746, 437008022, 956113934, 348852466, 312113653, 486834025, 128203511, 779770707, 524093989, 905862155, 348270395, 124027670, 915430171, 869326758, 533964402, 384214658, 12824386, 857541496, 893583526, 533843669, 712768911, 585056314, 170458971, 347630829, 365297078, 245687659, 725292124, 570426642, 502767304, 312821347, 684515905, 897139355, 331215829, 456806754, 979563309, 267837444, 32074166, 953439926, 179433136, 337659, 258923251, 751468537, 49261334, 213184347, 149833786, 963697446, 417230731, 382390474, 764915020, 530971612, 121578345, 366107679, 455485684, 232745, 442778923, 860910116, 279080880, 813505583, 264563813, 665952988, 717083102, 882762138, 510974399, 104640958, 952493644, 799244598, 330081359, 805585320, 791298005, 952554773, 481269664, 923096590, 83426659, 693545303, 800841792, 971740416, 908456240, 67985876, 384318581, 260427096, 237090946, 496763022, 573031847, 412631414, 418431934, 51781292, 161496048, 449227243, 496618823, 355104383, 174734589, 238432978, 285620255, 866037537, 291950751, 757735661, 159768, 721945339, 521974809, 207984283, 653131249, 431783819, 9723667, 680998321, 823036050, 900965529, 110295829, 830246963, 855896506, 218850696, 494427170, 972685249, 837918661, 53344095, 689279273, 224556043, 473558953, 862935210, 674853974, 910603311, 538269987, 399910239, 18796429, 431634118, 91449448, 921583915, 794506749, 653538576, 117651110, 418552700, 85476135, 147755682, 281669879, 670747565, 823145331, 308077421, 511523823, 598235260, 412239799, 88131960, 884781840, 186110047, 375904515, 849310765, 868341235, 130290395, 315113507, 892225624, 534644521, 343073463, 451976860, 497962034, 408165227, 441903747, 573040987, 86977914, 123956782, 396610856, 931558273, 688119548, 790976508, 245573275, 291601581, 656248525, 298008695, 786772492, 613390146, 847099822, 974568212, 321246068, 240564386, 647928424, 847602720, 949016252, 338878002, 75634749, 492525584, 103141922, 998253559, 746996486, 169054144, 339763405, 642506066, 354178723, 522517737, 787172146, 733198521, 457606147, 777309176, 516452955, 234821649, 889419759, 601982684, 608441910, 738804935, 614207646, 716471846, 348406862, 200592107, 707019708, 624100061, 840281521, 458414150, 998086575, 227248965, 852880251, 821086190, 48595945, 399426074, 7927466, 538210883, 990327560, 490188897, 50689428, 940800745, 106269393, 895311027, 637955384, 961963731, 583068745, 351290155, 518841721, 124895063, 94346160, 118250393, 123751013, 567095575, 182110409, 222365465, 543598211, 511953088, 787948569, 310687219, 812023653, 606039563, 502728488, 222671322, 156224459, 154937941, 861139292, 782655294, 232746794, 821776358, 191623848, 34339665, 882976489, 772287636, 544615473, 597248991, 347417269, 260472775, 720535127, 498067533, 473599533, 819712165, 803123921, 114629441, 446524563, 407595221, 899654148, 155165141, 182572343, 582476810, 803824913, 96917304, 608705695, 32018385, 566127628, 29114836, 708600493, 260536221, 281263548, 537873888, 386393177, 681078981, 220181334, 787690871, 207665827, 267407734, 549721932, 531030630, 692173619, 984961476, 977468830, 351793322, 588199816, 479107548, 238954636, 896858407, 596981637, 903434525, 858801302, 821848353, 617487598, 132090093, 817975598, 772685445, 480303585, 488252276, 864278074, 869660804, 18446466, 410190665, 705905443, 816452212, 722333019, 114718899, 248433458, 621374398, 822690501, 344557981, 880791743, 782215487, 935446963, 189469762, 231860929, 68074409, 274422827, 291380196, 201378492, 311604057, 636679097, 674422385, 718934794, 80968584, 782344741, 386682386, 541978459, 600129945, 26473624, 356799255, 49310159, 549277166, 502769990, 735659307, 479328110, 147247989, 923591939, 408962240, 895378714, 458770547, 154366063, 595643079, 47154528, 649872477, 890566476, 870492616, 119349121, 349463332, 566058561, 392226432, 789726112, 444290190, 207795358, 365104680, 389859919, 483121886, 486461764, 612641460, 98575684, 250052760, 423985518, 228653970, 499410570, 854026828, 40881674, 452029559, 712098956, 620405309, 653515278, 98265128, 379052215, 408101064, 429179679, 565599961, 770055062, 546746128, 615313917, 286206970, 885340228, 924356842, 834804395, 535306426, 13996192, 595784505, 311460842, 812547195, 396454669, 347068147, 538898290, 30666219, 310822470, 552167945, 693377729, 648777736, 606809643, 416950238, 39116275, 994647640, 743743800, 547157237, 827393521, 970255773, 196340923, 912530028, 452604715, 269458809, 239757323, 229221335, 719808894, 846619707, 430449199, 371588858, 981649651, 687224424, 417070380, 5217890, 380904699, 229346395, 783590248, 105866654, 44850498, 797492877, 219508540, 326675470, 466150584, 465179336, 839443964, 586047361, 491757433, 440637715, 739189904, 609185153, 820658353, 297669685, 654572171, 678048029, 692327674, 773062573, 841516965, 454282739, 276275203, 589208831, 710851411, 220379156, 354647533, 366380643, 122998295, 812479826, 549098577, 604215178, 209814372, 914072055, 701935750, 875611418, 983205652, 596758087, 995053382, 948625690, 927681121, 465623278, 688864536, 226910793, 255175729, 34430623, 525424258, 393908664, 212282245, 64943964, 586190407, 266612941, 562803300, 689504719, 331042656, 410729346, 192705866, 885904105, 496045229, 78066311, 117923444, 642202124, 381229161, 823133535, 126034898, 914586881, 186561395, 565832678, 991932322, 499218579, 681919284, 491977898, 907078347, 283751704, 985884895, 967599307, 982855881, 22200354, 356593169, 645895361, 806316211, 482048817, 189490694, 550868249, 627232091, 738506602, 277389714, 900356220, 965465105, 642320204, 362466666, 906987727, 363216965, 742610788, 23875957, 533460242, 14477543, 336332778, 878604456, 485569359, 751912859, 538209978, 365935489, 769198444, 998031693, 328513096, 84148461, 319795204, 919112878, 261810429, 49989421, 188097625, 288377556, 165184798, 421486265, 436824984, 633858855, 267779772, 562760533, 16550226, 549205106, 276460750, 319480434, 855854126, 250497334, 813668944, 69405367, 953129364, 16664304, 691032420, 471297948, 339437920, 13902324, 605685687, 513155004, 830612912, 883389377, 876208357, 510861580, 893923786, 557222757, 983249811, 692201327, 270621964, 556158895, 315328540, 396380967, 580366028, 468223727, 63813728, 509272947, 566063995, 730371153, 775496743, 382960841, 235493609, 646046593, 948954801, 92908437, 291004803, 28454485, 913463518, 790740450, 182435888, 487147985, 421501634, 878007683, 460419315, 372962212, 624329582, 420504403, 150682114, 511386944, 629711016, 187031405, 350582580, 206440111, 227579959, 428276338, 727425908, 216702924, 968952334, 519584624, 50209217, 117928222, 996291318, 960158891, 521653959, 223107533, 143139910, 541790350, 407657678, 367068437, 559272817, 872192817, 397274366, 52845081, 199452570, 653984040, 227275544, 612505797, 491445531, 807283331, 110195359, 291393495, 681101683, 129576104, 492923964, 634780850, 192970498, 795300869, 287208728, 763265829, 852166970, 335304293, 179947098, 695272343, 120160302, 410302888, 831918772, 634181891, 170175529, 836062086, 199106104, 790204538, 899386796, 2306211, 260657160, 6944574, 192340118, 964882408, 104726379, 531278451, 788548997, 287376619, 463520714, 834258352, 963361740, 792281980, 621104506, 409176018, 286814982, 124381367, 450924531, 840362209, 918152482, 941738740, 696163934, 357543841, 375179419, 879236908, 838815128, 707150851, 13000434, 657219812, 896184373, 410799321, 254041464, 61276274, 963239117, 50420946, 156965280, 601428529, 52929091, 716428147, 609200529, 554011147, 543502765, 493577659, 78280222, 490380279, 950352396, 326849010, 777647061, 414951598, 976933357, 177811822, 642568524, 618400882, 4046329, 954193571, 959123384, 349154524, 454878775, 521535202, 685079986, 472853312, 440566840, 320525820, 490590934, 429953333, 370578556, 222823637, 125591633, 518683019, 122210378, 277250220, 308348652, 357575120, 58058720, 371840425, 519156901, 741623454, 484389517, 999979426, 149825589, 513275019, 517963637, 455117064, 60023032, 108110138, 282583854, 100625418, 609922080, 602279293, 361227197, 337780166, 258463150, 237433997, 755541788, 440633712, 667829898, 520871625, 549991751, 52837102, 698200506, 800480307, 349216414, 749890541, 368355506, 217943087, 800718553, 2959189, 98495595, 624570480, 205793900, 306543657, 260482010, 429241576, 468202902, 640322090, 821502635, 190223082, 969660404, 956313794, 90029744, 776516312, 663207192, 877721263, 486162291, 642871749, 756548011, 397231330, 211235169, 491834110, 737338451, 111630968, 734494753, 100247775, 601271560, 424252792, 993874956, 246735618, 235016229, 780959680, 49920453, 81242087, 336197488, 46739559, 72173474, 30937988, 798252414, 280870873, 485953609, 706493530, 937364318, 299429452, 150415622, 461289952, 120932482, 206184422, 974467711, 906681768, 543315717, 367055390, 32193065, 157168728, 696680991, 945470820, 692998586, 729070143, 91810378, 41430493, 113979681, 554239482, 652653691, 708044816, 150752809, 856798119, 874327728, 514300169, 936081418, 188121884, 577406915, 124387665, 778249932, 620911393, 486629438, 768917722, 482081260, 146096353, 919824841, 869903632, 830890695, 635695974, 379445396, 633588634, 419540921, 941021315, 145821830, 156137233, 773844429, 842913593, 90163063, 841202107, 782564079, 217967540, 517341231, 352290740, 367604639, 561116435, 821248015, 244148842, 576010686, 327592162, 127943208, 20653178, 238770147, 116403344, 829611187, 873785751, 211788006, 397387810, 207096443, 501899762, 568760900, 542299211, 204828811, 755485223, 500927972, 406403126, 684999797, 104293639, 856314901, 283623929, 205300533, 587623482, 87558509, 788022713, 981110289, 377877650, 108804551, 140527476, 717063482, 323899426, 309930879, 103673047, 711000425, 768468621, 217684134, 948727042, 493584095, 763833645, 126237106, 187402847, 941111956, 510630299, 551222355, 971187624, 420174995, 55728558, 992689907, 536040511, 775829268, 393938242, 784381350, 512360303, 184531923, 338013727, 541871789, 715223202, 414736566, 848369308, 157690982, 439723507, 137212142, 821296177, 457326783, 177535554, 880235950, 702560221, 131772177, 897632616, 238071357, 865954645, 136661367, 868425002, 595364595, 364492853, 410748516, 23620486, 797154329, 38195027, 968988967, 977640090, 370894268, 107037074, 503337843, 827141652, 960963541, 481726630, 812294031, 618584284, 835403834, 806332040, 226422629, 269497427, 362761982, 756455644, 429275808, 718851443, 784165307, 88137399, 376338729, 449027318, 865176641, 58615597, 314146516, 233097736, 682800090, 985435713, 475772500, 710905425, 833395336, 33326755, 760752639, 219055682, 752944299, 926227329, 881770688, 379003430, 384903948, 438428386, 793477160, 488580922, 312295223, 594381371, 425851400, 657273500, 753014353, 701724814, 134368644, 218524169, 461564927, 412531485, 274445407, 529874449, 887024990, 615402004, 50282401, 294769152, 339441127, 746274339, 879518605, 618824549, 298441905, 312499555, 387648213, 520818137, 739253936, 626874234, 585033942, 135919525, 543838987, 263582901, 250769586, 560248378, 596039331, 779558128, 835975183, 704525381, 149609245, 981553345, 993072674, 570082286, 259470053, 603658908, 723244229, 151138275, 442681794, 306171003, 663818984, 586159628, 613983326, 280783242, 191987933, 973623946, 680793175, 234107382, 940472371, 326049458, 627193409, 113913392, 629223251, 47777033, 245043, 996830701, 614955710, 520566934, 842689609, 924052163, 276899044, 830570275, 19011674, 502291744, 36707905, 117617134, 161175155, 496087486, 483057730, 525034182, 20761697, 956747859, 816767526, 385901577, 913839340, 22024799, 421698842, 164188514, 843744414, 662160687, 817584121, 295442071, 882058102, 868964577, 275036126, 214212771, 739542573, 625384606, 128643268, 907698340, 427305156, 422101613, 329923711, 424855536, 354741513, 848435351, 704151706, 451179717, 233934086, 405443156, 16694297, 855400196, 783515507, 498318655, 964655296, 299303565, 397261968, 520069747, 689576291, 756774446, 878208779, 662366957, 37210364, 333917203, 361791519, 730491638, 181980761, 549043086, 788984727, 843335630, 557771649, 157452611, 721320900, 118322989, 954694851, 164676287, 221062004, 658619923, 598283288, 784313299, 833988250, 208065737, 764816021, 180327382, 265572096, 761658654, 863214027, 106279028, 158709020, 25477440, 941675929, 808414128, 436055768, 999507170, 92544296, 85024576, 385409467, 26177231, 190508335, 711449051, 544085237, 773092606, 946031057, 9147137, 901986310, 492508593, 24430040, 719007675, 156331773, 681066184, 259135457, 466115244, 914616588, 179668747, 135106304, 444578854, 329289695, 543380255, 832512051, 830300638, 742532305, 693178321, 362654818, 454325430, 85179909, 771373308, 768347313, 283718289, 781332990, 842520425, 294971944, 628138743, 48418347, 714271802, 993018547, 290133045, 760392693, 380855177, 77328480, 541276022, 643860528, 24887083, 856069018, 995174002, 557056572, 412190044, 621050154, 850705083, 325890950, 913981241, 161619560, 307647676, 377472342, 348847820, 715659266, 563717105, 213179093, 219841309, 864014093, 619960943, 779025081, 669197022, 105200758, 1712610, 578611124, 585892920, 240968257, 617956629, 971660499, 145551811, 919453138, 841663618, 318176871, 280447817, 480586488, 811756392, 901940040, 306589835, 36245769, 268212776, 648047806, 122321765, 553401625, 973126334, 819217528, 460265058, 509159510, 982124813, 545814618, 136038933, 973778858, 876289699, 718127074, 432149555, 114446610, 819026475, 856134517, 173862503, 819184307, 383449933, 564466685, 167659921, 42228039, 380884469, 644201406, 845860713, 13746872, 248902909, 405704880, 491774951, 308841684, 247135843, 760455084, 684061597, 659647924, 906381871, 686900054, 944946583, 265007391, 697489446, 850929243, 650703236, 170322349, 826356374, 490477120, 877136493, 629198072, 170969520, 601766041, 108306511, 308526160, 610300013, 956025657, 674914614, 989371530, 724152922, 406752407, 561621282, 957401359, 608038888, 779638689, 579405511, 830226719, 1361716, 155339681, 791116098, 661990103, 942179664, 378703473, 294198979, 197619733, 460723542, 650115072, 541792500, 19439547, 989458207, 270591328, 82642802, 320491878, 15944256, 572741035, 938614036, 533658593, 120880260, 389804785, 302677665, 833314604, 174531212, 739888957, 246146934, 223348808, 290614989, 533264548, 332310647, 249203043, 596895552, 185285905, 917742306, 101416699, 773274855, 125834445, 970722613, 864933252, 299901189, 744450222, 380608088, 965652699, 756424801, 307174582, 746136002, 233676301, 855479540, 128403306, 286563154, 544287400, 338212098, 994233201, 98702645, 852780946, 491953787, 939544884, 536476775, 55977326, 946477867, 272803237, 51009976, 596296269, 800007909, 846179116, 751715832, 867682762, 500240735, 734219971, 367690914, 634525297, 916585004, 625334193, 474705578, 591768934, 730284315, 977266647, 454416091, 209679072, 943607119, 161045671, 589979405, 452858721, 478161800, 164998904, 361540760, 876419452, 926533639, 960718316, 145132051, 679832182, 323074592, 126211130, 785965463, 901605177, 423569508, 543209649, 340975508, 687924899, 366904522, 289934338, 440559661, 746890450, 329842498, 649834424, 246537112, 337877716, 637221436, 333924343, 670371206, 769618090, 658259270, 769424175, 705753403, 42053232, 848244068, 821735380, 198954534, 714751261, 714175317, 938863051, 411775358, 560041747, 750770452, 251886139, 404673499, 872686658, 937234361, 188846632, 460904175, 586901741, 986646915, 19227211, 565389539, 389129850, 616904688, 253188719, 91158905, 796557200, 578165454, 310326402, 621071443, 631273376, 430117655, 23839794, 868764425, 763736286, 592750275, 756813327, 917766214, 634322729, 8189203, 411926204, 928296127, 74638292, 48275083, 795782438, 964837334, 523828969, 350204143, 847261555, 145939545, 361811987, 591602819, 413204936, 595383384, 503824436, 356590613, 44735604, 213627169, 439524404, 192624446, 961544489, 213949769, 411950078, 769314014, 635639724, 733779946, 141894335, 153130877, 218877740, 812514690, 299348373, 318174564, 672150864, 842185365, 366482461, 489119415, 856227392, 79127334, 448142449, 331040612, 601460194, 199163389, 329351572, 379080992, 931492957, 885448222, 414607879, 9865567, 441840607, 543632852, 993953541, 551355779, 557116200, 548554295, 164515601, 339348860, 697664406, 940935064, 963633352, 131440812, 697837125, 466779188, 980445145, 953032009, 509245392, 306677059, 880499684, 65365690, 322524642, 830131893, 45941680, 616660823, 998493429, 672409648, 646310056, 434597813, 492119412, 715597754, 136208747, 979973665, 825355440, 12636845, 448719488, 123177503, 340723982, 661721726, 16979030, 362566039, 526578106, 591268603, 772909969, 864933823, 687225308, 989726966, 936782861, 86862427, 79493654, 739307914, 867459947, 114315652, 665227881, 277039228, 325101302, 610736783, 386422037, 799900399, 343517507, 162765339, 744348348, 731899517, 521479840, 222343874, 549465030, 487944090, 726596325, 208489028, 968636465, 429354682, 704680156, 785126779, 592441634, 28213188, 131056651, 309993619, 187007152, 504679453, 750708112, 932982076, 164207432, 426942136, 635420477, 406843445, 101269158, 643304709, 441221306, 426391481, 655107293, 959736794, 760035059, 312166929, 456623159, 624148732, 159385433, 986596260, 953777007, 557448155, 188859353, 816258821, 749671646, 505459063, 123363884, 572735513, 96965693, 337133156, 43384706, 924855384, 77008918, 654640105, 263460298, 798903626, 858095101, 74233749, 745723065, 398989212, 937575734, 520579152, 319590705, 722949888, 438546210, 549296243, 48860621, 51197155, 875513367, 954957279, 146383933, 103146233, 785585212, 815508657, 216863371, 840307540, 922870734, 867343285, 579770621, 450250038, 490164571, 991389703, 641703796, 407265229, 921228637, 551625845, 523428615, 796169792, 147130299, 360140334, 785603002, 970625185, 267182551, 364112366, 993391772, 530670478, 65901199, 360230933, 406505087, 608658428, 104822226, 448937658, 930715535, 698528166, 244292348, 441451548, 947154800, 701064371, 658946533, 609794881, 909422781, 559408081, 989998809, 295505073, 760871442, 175400483, 820622616, 738488630, 276147133, 20488681, 891039647, 629475424, 251632146, 263505424, 242423762, 368640091, 223205437, 470907878, 884550018, 340978535, 352285015, 671974514, 277374711, 868506412, 705019112, 900040069, 940660371, 504054398, 772706266, 662283657, 712929266, 163869271, 227327409, 324866533, 132639465, 747834951, 187004990, 882372377, 556791382, 937859710, 314456839, 425305753, 948288934, 851804917, 576973905, 205802083, 279450197, 30416676, 715932020, 696186556, 942011903, 252031837, 918987810, 394695440, 898698400, 300689394, 673951568, 98226237, 230600709, 424006781, 436268414, 114047805, 838517157, 434354992, 450448581, 855931897, 477926696, 884544112, 305135953, 361354704, 242539185, 726194826, 60219042, 980171883, 555408966, 30370764, 156736082, 907711360, 380709729, 901022114, 926595680, 355880106, 559098416, 486834314, 570385782, 636313766, 800078883, 541015939, 675825003, 390227193, 111226425, 909952193, 796977256, 557949376, 755834216, 615545335, 872811530, 939644280, 574345566, 912914538, 719202877, 982849568, 34756910, 820404397, 526747196, 775449939, 339607073, 461570893, 462102393, 358172719, 711115398, 379053612, 419672390, 974558320, 948550169, 427081534, 998301320, 91150345, 797911924, 108013225, 761621193, 305673826, 171959362, 610391906, 646042937, 180881983, 656952004, 47181714, 511917547, 461362063, 570420510, 108669174, 788448614, 207527329, 507481344, 302304025, 195545006, 82520388, 794214073, 753653964, 792126992, 110174412, 660801647, 719371486, 521703890, 909061821, 50038249, 842772780, 154140893, 152299512, 258872363, 593028043, 600764414, 613346181, 673152124, 927938011, 767329378, 629405821, 269327467, 796527314, 652295758, 699864342, 634738628, 983842475, 126081053, 651491916, 699642801, 748464326, 957903030, 775421332, 982620126, 435130275, 635980195, 41160443, 909353153, 615823951, 692774949, 344163480, 519625243, 300195901, 512064480, 826868890, 54974031, 613490168, 848575837, 686507571, 922736368, 744816277, 276079266, 296079636, 442189600, 189346955, 590520268, 621794822, 944089615, 891680113, 513565007, 832811717, 617561768, 156693609, 467613533, 558492596, 104578300, 553813186, 34518498, 201190063, 468360317, 376544087, 746833394, 816112070, 499988634, 190037094, 470342488, 849528371, 497721043, 940868929, 860706981, 230913132, 979773257, 422037593, 145853987, 561107608, 381983232, 571480783, 712399158, 932757900, 495440318, 28402301, 138853759, 22651967, 808111315, 429361799, 961025254, 782688443, 221524571, 172358431, 294422605, 217493096, 172678090, 992936808, 173799229, 259245794, 256805505, 615177219, 814190202, 806180639, 979024670, 132060056, 20556529, 117784372, 233642894, 545939742, 115096281, 209682224, 583594200, 255424880, 59717067, 274549927, 131666471, 633151990, 139467571, 983486044, 212068536, 407702327, 406662561, 314170473, 609057381, 204806350, 380489188, 959983080, 98731331, 28572301, 954227442, 474221509, 444602218, 579053013, 164651006, 961369079, 660210294, 181310201, 497708860, 972787285, 853777818, 367213993, 104217037, 899288873, 372341999, 596478806, 6876653, 388067470, 429736422, 106844395, 362595910, 262696474, 802106511, 524369152, 117469657, 351611813, 814708269, 277636878, 325567566, 696721191, 675842861, 592085245, 754151818, 138074933, 588351872, 260247399, 393927098, 20455095, 352664708, 778597162, 143996345, 15491096, 864241300, 711934825, 205387306, 796390747, 175736912, 213977265, 72411407, 843348613, 709882970, 549465453, 515621888, 189591920, 759774136, 535241566, 803932232, 947444688, 964271771, 889230443, 230319887, 184270474, 315665633, 826674530, 834906030, 954634405, 446545369, 944039496, 122453816, 643895199, 760516931, 142662424, 202068401, 243294111, 723160711, 731647249, 847666020, 902006440, 287034562, 415893500, 364947651, 461710160, 930878122, 107338839, 43291915, 472926475, 744616403, 144869463, 31761987, 891705275, 771266725, 434000439, 200214025, 563782106, 693324886, 991874726, 926265523, 891130057, 305592562, 301308076, 182212263, 968207952, 629700422, 279005368, 445227561, 839448745, 664567249, 453822222, 364909984, 748102661, 807240643, 180402129, 213194540, 239965833, 222183498, 936944942, 776206955, 554128876, 661858630, 457861821, 28167338, 369608636, 416303540, 483894168, 518428140, 549690892, 995100323, 476926984, 899627863, 608069000, 669675651, 547840593, 520804536, 599919776, 415877640, 222262397, 807375798, 958965408, 182328057, 101760711, 638006756, 395734780, 907810865, 485855980, 672239160, 165784139, 884678747, 342706651, 645021880, 961669568, 549194915, 419657253, 630710378, 261300033, 980465445, 959726180, 88558392, 881224540, 930280702, 300540117, 746905972, 954847387, 608502263, 372403145, 35289151, 723330398, 756035326, 368928464, 214197040, 247319518, 581888560, 620896055, 144445075, 38609320, 525102325, 586259224, 182875124, 42800660, 630811607, 218705081, 987364233, 807310512, 399591623, 200987322, 464006531, 551321492, 743570043, 76648754, 785780462, 427986642, 516233167, 267484932, 676309418, 628475898, 998835512, 380313020, 824066439, 599943429, 362322164, 824883466, 805212089, 434294925, 601587028, 788326671, 458821388, 413887434, 743745737, 837917638, 159394787, 329235459, 357331175, 321043898, 794117050, 317808246, 139649744, 981486398, 879106055, 609280062, 515104245, 505762842, 556022671, 160931189, 489195583, 140240800, 183607619, 98905870, 556334596, 863614356, 226175834, 707859522, 295191893, 38646451, 68354487, 296224209, 627787628, 374931585, 413149707, 437723717, 966711601, 323592472, 671690963, 273987660, 791754087, 309814027, 853663379, 81566561, 552819121, 149702555, 368301927, 862604187, 402838623, 349284169, 747205580, 484053083, 71822118, 695198028, 375917943, 106664549, 605851767, 487555504, 970836060, 478542705, 799525831, 136831595, 510820288, 903503748, 812869855, 286582540, 611016794, 91110357, 797152280, 2938279, 47757710, 23104934, 575552013, 694761277, 744456229, 687306414, 321265239, 716796402, 155116265, 189880509, 307435632, 403284599, 917690937, 38193593, 861462088, 811415080, 772051082, 590342491, 720430355, 710521098, 694622684, 273921236, 172884934, 715260063, 347314263, 874898591, 21324035, 895832717, 332386506, 594343913, 790550403, 693002375, 77932346, 205045702, 444905923, 152536119, 174660388, 933795101, 384520548, 591200622, 378629516, 87521165, 125641881, 787625626, 310431981, 849752910, 217591906, 92841760, 450952130, 703448128, 233180580, 343539270, 88577582, 743180295, 447999661, 544877296, 2395745, 693529895, 712162349, 704388082, 418185385, 709589780, 381228772, 909714420, 463839344, 875533097, 71732290, 624235240, 234328455, 849131331, 620029542, 20744961, 39425396, 651298430, 728366276, 340304243, 654092523, 341137214, 576926536, 166850192, 767342380, 927285204, 886982387, 856028395, 868826684, 349744492, 731817101, 155717045, 217098133, 421409116, 241204741, 379033908, 104109596, 557413457, 854816434, 848170611, 767150303, 169283972, 65693602, 542915213, 618194088, 754400888, 899211639, 736481990, 663909863, 52967659, 839603181, 811539937, 658428501, 848013867, 478006369, 637470612, 909331631, 610103968, 12784129, 574661650, 84886174, 801660168, 134928101, 672340358, 589576309, 862590747, 795265671, 293562901, 806276142, 17435055, 468195676, 32829469, 23259558, 152186930, 331510298, 303994497, 954716255, 489713692, 993799788, 149762880, 929889707, 625384897, 295633632, 28999372, 972435607, 811121924, 492650125, 475237521, 929433721, 20696408, 81608107, 727687020, 906564263, 359576693, 314985550, 676528890, 540594949, 398734549, 431913760, 783648331, 621672656, 670597001, 292909422, 477931563, 23977796, 489983524, 364506731, 649088787, 122893686, 449147509, 975830640, 960687309, 44034244, 43989281, 383926375, 386379940, 559437593, 322418379, 956229266, 14597367, 186957848, 76807179, 967210433, 807246467, 871361327, 269375564, 976004845, 519056403, 451583444, 748328502, 754692349, 864027745, 358508997, 247804975, 272215318, 2949372, 542772065, 556821547, 679288007, 526296936, 903773010, 831617071, 120430601, 286042570, 563012674, 569160163, 755157617, 217152111, 419280484, 666439282, 179625075, 532497264, 349355241, 984017703, 344036363, 582920899, 372188908, 18413440, 552541710, 732836734, 805555667, 330716090, 615031046, 144718861, 892064309, 627203728, 78036906, 230708085, 137578195, 905229731, 986895209, 86896474, 388949455, 772135168, 673503886, 632985467, 765631833, 421880375, 885007297, 839099759, 123686965, 772645858, 32367062, 376382608, 500710485, 325497209, 496539180, 310554115, 511574991, 661626656, 834671442, 63380510, 188906442, 804579401, 266149788, 160857338, 97152706, 709421166, 923246661, 455559695, 665538924, 260625800, 42814107, 407074280, 406817579, 151990798, 598866318, 918725392, 502753028, 606221713, 473905485, 351242321, 550196055, 123714281, 443750308, 226831297, 348247174, 251706539, 789196729, 883204548, 934796182, 260116666, 869094784, 781845297, 900261430, 959656266, 595222161, 950826166, 753410604, 569311779, 437721562, 732633234, 453250445, 750692612, 725533101, 385305998, 881471255, 841346732, 720748827, 448519264, 489730810, 663281417, 936270698, 761968532, 662960019, 518934522, 433996149, 486169707, 919089634, 207976247, 78111422, 540142208, 572193855, 23104356, 554123773, 877099912, 764626475, 61456369, 527532467, 955766234, 779672878, 886198689, 307317019, 696354706, 923472889, 462076432, 613506898, 378354713, 783073866, 41087837, 676355157, 353123302, 531897793, 417537047, 988693717, 7275835, 77328185, 293573892, 993252209, 116996457, 373086841, 308178701, 733331568, 992591110, 242779561, 203509859, 476261734, 999597008, 273797533, 822634593, 552598053, 994659564, 359155586, 747471188, 514021673, 587098634, 892796682, 513032552, 644489503, 339320090, 690270924, 484083341, 925719610, 33963532, 775484531, 574721029, 847191628, 470495603, 51266344, 544804399, 182828263, 222246885, 372521960, 381780972, 886950140, 214623751, 822949870, 357654972, 630625377, 781440297, 89704126, 365115655, 685712049, 327579995, 889093459, 97781325, 4350643, 329573955, 910578974, 833884836, 90226186, 659939025, 110795371, 41955382, 928225307, 865047566, 368563131, 54801868, 579569341, 66500442, 879297527, 957499760, 744032981, 440361632, 286074104, 132728526, 70931152, 388753483, 159255226, 209954369, 998598349, 600097199, 246707640, 730218136, 889332451, 775007140, 564750240, 932499271, 627956961, 672570011, 645056753, 423274049, 221948232, 548545387, 98837430, 304995353, 58146606, 766560950, 8941493, 88146726, 120376263, 676594427, 262392681, 751613579, 111449261, 180271061, 312305143, 631526433, 683494606, 337406597, 907142075, 373333560, 381068233, 452972607, 907384064, 556575606, 170850405, 368852565, 883419250, 727892126, 782368977, 381696399, 110122627, 746043533, 965037006, 718073062, 468125278, 950138947, 780626085, 453798943, 149239858, 578492203, 355228552, 874960073, 798965884, 975757270, 898046008, 660904098, 302499909, 148566166, 236066354, 537626618, 18032354, 288207573, 763536434, 181189101, 45031057, 123701508, 325381776, 928705267, 469482652, 735677431, 700460614, 316567525, 192510307, 915814044, 557778604, 56283675, 275895756, 882763240, 82996600, 664713092, 397330704, 839655699, 578466419, 635568203, 912146694, 37006807, 479340476, 684007731, 987790770, 206965980, 718612929, 49362501, 924078935, 379271501, 422410370, 601018013, 504186323, 118120816, 815677643, 933710931, 193416441, 564765061, 501425477, 717020093, 401603461, 370633918, 848644617, 274299680, 530731761, 395283410, 646428403, 751502020, 620124685, 812072995, 683975384, 315919855, 227323123, 423755272, 650350608, 339138875, 920388511, 387436177, 358644487, 641873496, 878806278, 4571152, 87468319, 415431482, 28029816, 951459671, 209620232, 291311561, 235485249, 690129781, 248488813, 359982685, 259879562, 689220446, 641952545, 132135912, 358814514, 894359978, 361626126, 608162399, 557865951, 95857732, 376407364, 894693541, 760415825, 800394874, 70210330, 380597843, 792608353, 291236798, 947363608, 466262826, 328650754, 301778238, 979436324, 728153712, 411211209, 906659540, 346544208, 91162010, 842409192, 965270253, 586918572, 476418934, 22828546, 816899457, 50439608, 324279020, 617892336, 311740134, 334899416, 560869137, 430869790, 369305518, 732323064, 28855133, 253375156, 888398706, 804182035, 728223411, 177820769, 441317726, 587271697, 880008679, 384472, 888586781, 200136805, 525764481, 190751604, 361703007, 22721373, 675758072, 433047965, 794283010, 624773645, 3806286, 200017127, 672189469, 36508867, 349181022, 654244279, 316739431, 244364429, 93619580, 583136384, 400245676, 12423710, 107970957, 303616706, 46166688, 46485109, 734617682, 220448949, 841429511, 961325660, 810116091, 576085948, 943364242, 308478978, 451193276, 969234222, 16640770, 777435164, 377862537, 214974910, 805174549, 914564121, 822570929, 765841277, 431198616, 929778772, 744053564, 979622870, 864515900, 961048882, 738217526, 891277504, 71873995, 444342293, 616040571, 327210289, 756465816, 73969090, 598338825, 307606301, 872871064, 80698802, 97129899, 353265466, 609224168, 200783850, 181088931, 386746361, 978104227, 214030950, 350650102, 384588073, 786557699, 767960205, 517390756, 71652652, 831486597, 512439277, 751262587, 80099103, 350802933, 512080884, 317200351, 609528981, 739089895, 818199847, 792384858, 669065025, 566508843, 507062129, 732548473, 186123421, 335427207, 486319936, 427614127, 604384832])," 98660 (continuousSubarrays [545474762, 953787709, 674751628, 547108892, 139086321, 913984794, 455213752, 457371038, 837804203, 321301980, 622340159, 762005224, 508473801, 816102502, 114924508, 46789407, 657987508, 379771108, 196416467, 719296810, 495054479, 643462943, 12654004, 326443663, 440676053, 994855948, 95788762, 100456096, 270977958, 713933605, 740874937, 707881191, 521361591, 856258740, 718514932, 170403000, 175385464, 277230308, 624255322, 273359290, 953643451, 417501937, 798361803, 70944199, 962379022, 801126488, 109005986, 412779329, 318426048, 349405407, 598302991, 660867031, 1287363, 498039388, 655636954, 694997519, 513650074, 537106096, 30938447, 50239758, 504254037, 187552256, 870317830, 151919568, 869264851, 469086257, 222105663, 223490643, 893523557, 882450539, 549267987, 529469954, 823331810, 705347339, 65639947, 153171028, 265941837, 960051315, 292768994, 146881323, 628344033, 765468117, 857907900, 501562920, 787517433, 704861639, 11308443, 62725156, 607283388, 129346720, 348144468, 851306922, 344199521, 964292328, 128065732, 117805474, 467572364, 259778214, 319062270, 88533611, 126196412, 506345806, 441891684, 624403986, 870190098, 966167749, 858664638, 259225645, 985568593, 240806542, 796991554, 651969579, 924176268, 939796052, 377908036, 255806797, 181631657, 583668594, 429223101, 874833713, 412446693, 587837591, 958218101, 640627901, 177088445, 292216349, 193286102, 650633109, 853390624, 923312715, 362299943, 658210714, 804686394, 515526266, 451181064, 662930694, 626753689, 783555897, 12400310, 651814387, 938473743, 921168035, 391708552, 990604624, 979125847, 390093813, 825136930, 336454227, 376681215, 295643059, 419679702, 466493923, 73261819, 810794197, 487436405, 647687668, 233793725, 421738676, 898054550, 954533970, 103780920, 258582691, 866068063, 769182044, 998691651, 216046946, 570575460, 722218063, 359388980, 671059253, 883861116, 599293317, 30980739, 148289732, 358975391, 392969658, 746363205, 135600987, 710084864, 763429926, 323673486, 482258903, 499559815, 867845406, 483136077, 607104626, 16356966, 292267078, 422213889, 760807147, 567904255, 188239674, 673159479, 948735836, 882373507, 465742361, 506189533, 780640488, 752952151, 558539784, 486650725, 925079399, 291818571, 280039695, 314645165, 827470841, 73409681, 371218556, 216918091, 255693008, 667729327, 157759, 84608120, 127134321, 619916149, 327789042, 29728282, 876431758, 885622384, 482327881, 339660627, 352158148, 589081320, 396738219, 42795378, 803488061, 611767376, 960250059, 684476138, 197317093, 950355897, 406931811, 24349873, 970957800, 768442025, 754695890, 945932300, 136657174, 741180125, 807693202, 787725639, 360386485, 206012637, 519172129, 443867048, 81643105, 299588156, 218403345, 21451125, 616192657, 846590558, 443337316, 869802114, 421812875, 185371674, 257591463, 625879557, 78544716, 480628532, 627635990, 802455816, 921237920, 487488040, 561862634, 230240853, 773074864, 390584721, 232335660, 652529420, 448011690, 8324566, 335030889, 806053899, 940893509, 619360012, 723933263, 972239726, 714735400, 402518771, 742677165, 71418875, 296399566, 502505589, 827333130, 921605726, 143917835, 854959077, 895195342, 46950801, 675823938, 793162894, 446665270, 69742208, 418936131, 335363404, 614036870, 478481976, 971486173, 535186782, 838381379, 554100015, 598992997, 696657391, 870254447, 711831205, 176323343, 417694819, 151955415, 167281484, 448398683, 486830952, 593857530, 34967712, 824252004, 711386403, 402415956, 308979473, 623988414, 297692250, 684000792, 801637230, 25551290, 47406041, 339996352, 578815397, 997125839, 346630568, 445549892, 536888157, 712676461, 893316267, 811898762, 232287079, 341088297, 772011188, 693856715, 506001495, 856328082, 847418912, 575406390, 596785758, 774764468, 889530908, 966351783, 882592495, 340930891, 553807837, 123214609, 654854481, 978491472, 773065653, 776036754, 434109022, 219322095, 716182903, 628698585, 585623443, 125470931, 896459871, 730677023, 486053605, 365888700, 828118172, 896692557, 241894416, 63500807, 721254487, 117459765, 800286276, 329169937, 139984775, 456143947, 224908111, 600061356, 619292656, 58115536, 820843928, 685023287, 906494665, 480558257, 17825086, 621866055, 279233987, 655043510, 803392170, 251772159, 759906701, 444886526, 703414433, 85614203, 449268379, 293106900, 620959312, 845176523, 389202392, 788358775, 593593095, 922865226, 225037727, 183064595, 289253763, 118446192, 657233912, 364740200, 980925159, 693694199, 889243693, 403977707, 849606682, 872903781, 665011827, 343570614, 694238753, 115686435, 386119859, 540127512, 92791100, 810369430, 73933972, 311821610, 477772414, 927807719, 897029559, 742243851, 677803148, 98629375, 660516032, 342403461, 680146081, 867895850, 684963515, 77257011, 828987793, 478516366, 806952055, 870457563, 159392578, 939188936, 736487428, 437405433, 178709496, 841991515, 974735087, 130253428, 878145233, 526259799, 900845676, 374434377, 975849426, 757178258, 966787063, 302266026, 566020965, 61328760, 485590426, 238707687, 541324004, 998654768, 5456994, 117168740, 943595809, 926590565, 483231730, 535417750, 113506112, 938549495, 660732544, 274494701, 226314107, 625050478, 408899361, 635160847, 473933508, 383932427, 269667017, 998850970, 671265289, 44704132, 631168982, 904297704, 654040943, 649082038, 704955159, 23179026, 219543654, 886638783, 490363439, 708727854, 341920967, 171857227, 566349222, 326658879, 351134898, 878098244, 163527856, 444522521, 636185358, 165360294, 883016603, 307589084, 1127876, 297094573, 2266870, 773320646, 449377654, 411159915, 991928672, 865085084, 823684697, 526299204, 189163363, 450936725, 400494331, 984643951, 904036482, 633380680, 269002587, 145582883, 990288863, 818395328, 591997773, 653587918, 283333259, 657517832, 121590451, 406976514, 86341578, 295248803, 842841358, 318955430, 866162711, 369675805, 140687209, 304949464, 451470721, 831427057, 924145515, 933203451, 896902519, 188560232, 721521820, 108724259, 884227111, 610251465, 98122207, 990137877, 136448228, 271610438, 396784217, 391952157, 365569312, 517400730, 543789050, 248576794, 686942509, 91683708, 161802583, 678197563, 792922455, 883944849, 240477286, 909619908, 899484842, 31218726, 489212141, 128414243, 434785859, 301813582, 510916403, 606770772, 560480638, 924010217, 29758439, 573495626, 306790691, 656871980, 188519384, 591351428, 434265823, 319057051, 616827891, 618236668, 795953631, 401636033, 108600394, 765687252, 192922795, 47122622, 149055472, 312022541, 919094598, 968937120, 273189234, 588170831, 674991522, 995665825, 163566593, 631901094, 676082689, 245491590, 170263264, 313268266, 398558884, 654178111, 586145685, 55545839, 62681921, 652472126, 661456537, 943362938, 648407692, 874675248, 400391181, 617985661, 600650899, 500102731, 742685142, 431436545, 515024357, 894852168, 95010406, 393126650, 718767077, 143355012, 287816003, 445061639, 687716793, 986302907, 46160337, 328768315, 363690151, 442972337, 868444648, 981732261, 873563843, 973373342, 441344806, 440848829, 541238310, 385022583, 151948139, 663589540, 59689588, 717520943, 453600351, 509327393, 344240072, 775178739, 562700376, 258352741, 319843064, 472851438, 51278135, 146737094, 220689807, 700320382, 837332102, 762385525, 399959971, 340391529, 506350075, 309244592, 922326445, 308581072, 693856672, 435122256, 549415026, 943761953, 878234910, 38686776, 341990619, 332794128, 163334525, 436719687, 57646657, 917462331, 850315480, 380669479, 537835446, 204877363, 699662373, 39358988, 410026675, 94768102, 329948058, 721550840, 825553659, 304712541, 196325200, 607009647, 945395785, 967956293, 388320607, 133243535, 640342851, 445277384, 240854060, 469239245, 221896301, 325377114, 171457041, 925879675, 607293320, 53067765, 740263642, 898186869, 169410240, 948730095, 941019494, 294476646, 178250682, 305501864, 413087864, 924901626, 458315450, 958314557, 590331576, 75593805, 97061820, 145043190, 162473687, 951836985, 962466400, 167018333, 341206137, 134960982, 838815629, 382897871, 599308775, 101595843, 493804524, 230089706, 14722163, 350127480, 403371683, 613235294, 915894561, 834618526, 475187293, 27401342, 25363743, 932209539, 493936940, 524781045, 341384337, 885707986, 931029183, 988701420, 283148480, 935006656, 137668991, 874762225, 269100666, 90798739, 260988534, 126779018, 590532967, 97365741, 140736498, 714123802, 145722215, 722460160, 490322286, 811290287, 67742715, 713677709, 39743735, 332639627, 218125803, 713378338, 824495521, 802155217, 464190961, 508591532, 782584768, 62270081, 473801997, 780246306, 492962814, 596922368, 830159474, 982171716, 485473444, 748662054, 641029558, 211481352, 142625254, 754603067, 189617175, 441925744, 147899125, 860281759, 721251483, 864773403, 872633785, 33285556, 512721503, 163153735, 923076165, 499134592, 305679331, 52448476, 304471733, 904986224, 180173469, 873491106, 54145038, 850413878, 907977403, 729927922, 811633977, 904950176, 967333052, 873826354, 201838752, 805215738, 401471602, 198851990, 100308971, 820767311, 271177128, 626224830, 878636669, 766515865, 698046510, 94262611, 91220413, 34511572, 369678587, 136416738, 135295118, 835665387, 837010861, 1778766, 188983056, 520636238, 67932808, 842490299, 537076134, 257837150, 254214487, 640539077, 163653725, 365902396, 360638622, 747990900, 366004316, 518292904, 316433552, 864242416, 553070922, 855359306, 274710491, 30862493, 371214965, 74018785, 860725025, 23212647, 773378365, 244988883, 23911823, 995715530, 619254393, 873229435, 906485693, 802772084, 109348094, 337709190, 360376560, 620412528, 748806078, 96927764, 645692670, 515921770, 829497017, 319535006, 410349879, 365477827, 825984480, 420095159, 907728075, 453525347, 599004529, 524492831, 573007531, 588571259, 845043093, 659303990, 897664755, 689141490, 553464385, 612402452, 373088932, 290561218, 547062193, 182482668, 552490321, 631921117, 410498709, 897645415, 334252520, 853354392, 481839029, 499111479, 448327286, 758790177, 942150784, 810550498, 325945856, 864779657, 911600156, 737246429, 721670995, 370483014, 306381760, 582988068, 606736194, 528288688, 684396087, 981207893, 889223032, 452556604, 545934929, 432351484, 76192129, 24442032, 559427512, 118522351, 324985000, 602642254, 479431557, 820891887, 169957371, 692922048, 418135756, 575759197, 409144974, 546524375, 212836422, 869372143, 739934065, 103096338, 71683468, 166537114, 274182811, 152109497, 595401186, 943372376, 769966230, 376541867, 755512473, 826110380, 675752392, 767459616, 896331002, 624758059, 740305558, 560126549, 658826649, 539109044, 816910325, 566750152, 471067553, 688551621, 741199527, 52483806, 953002908, 730160068, 995900903, 331283408, 968015001, 4126543, 976093594, 862752300, 398483383, 659408192, 237199285, 348457285, 772972019, 480622739, 406044796, 751533503, 863596949, 571567136, 352641320, 668049650, 826962409, 690997860, 910314042, 713494248, 600901841, 688516875, 214834897, 177692862, 531026235, 990390602, 43541428, 617020987, 570722474, 162450513, 635827725, 63288761, 415548905, 286793206, 714088196, 940059162, 893899441, 749707054, 54067503, 27553999, 265237786, 264657154, 918428214, 542011994, 973059413, 979487296, 445331640, 21967865, 890594067, 768968716, 635514547, 575301384, 855634337, 367200514, 675846346, 642148298, 484407741, 221163342, 533925647, 843020373, 625603149, 916232486, 873072403, 779163460, 454060507, 75836, 7985462, 736721012, 383345697, 742346767, 660760312, 879114550, 29098064, 960655198, 426890371, 931812190, 428746353, 461046966, 494984288, 141134427, 811563191, 78726270, 588642920, 393699714, 142913769, 518877134, 604838140, 556676182, 152929184, 602798185, 910403651, 898625854, 626487224, 266034437, 725262406, 889614366, 597343152, 570666408, 218575288, 434917749, 516664, 944606220, 308338510, 871383776, 734925803, 297242798, 23889061, 627743907, 801456652, 575033010, 368240050, 672023672, 416777299, 789532761, 715855021, 70299680, 243983876, 33760751, 793001861, 750079838, 917145769, 643627426, 135779765, 721092021, 349580710, 937386887, 885945353, 528411233, 381325889, 774124795, 555778758, 377724189, 948995789, 430383986, 977767872, 411335735, 142426216, 80314555, 960647770, 840694797, 793202061, 329255107, 140086498, 532839916, 176196362, 57914219, 508464092, 992844662, 436809653, 212757427, 65689962, 366513380, 889148347, 837903010, 239554660, 779049456, 519381998, 395974210, 966870175, 474141784, 857071524, 688749281, 823683661, 256223060, 45021479, 70949872, 894833262, 211212585, 538535431, 414150849, 715635319, 586877556, 82270020, 556856608, 413749079, 681255945, 245554097, 408996897, 798777881, 964027279, 363846487, 290313722, 545523710, 991273368, 765412282, 617077811, 861215115, 26299008, 862797793, 59596791, 301896640, 761869449, 639849999, 800538240, 866748390, 993625200, 338906345, 470425459, 548423176, 536041050, 10782658, 382980242, 929027491, 738060623, 813836313, 658393818, 311258651, 960649848, 157822478, 514337768, 303480104, 84584675, 522762408, 473132591, 862805502, 349693312, 685105050, 200084935, 183456708, 337091315, 311170111, 601955385, 306355864, 36355775, 566661078, 901658014, 239156691, 24297902, 729470068, 52099623, 861296757, 87538180, 223653700, 558360570, 800466924, 964342519, 28164274, 97396457, 142583731, 37955214, 598490362, 65710058, 796478107, 319102805, 805443945, 128652129, 829657375, 744635191, 573704173, 423364048, 337376628, 912558285, 817468003, 818742040, 527484292, 745921998, 891911812, 457218573, 829125159, 566269154, 840080035, 612959021, 203165549, 19604136, 8674653, 402126667, 42695166, 189514194, 899650021, 348613324, 544024948, 462169960, 756134466, 508658848, 416201885, 77415861, 689685712, 940375657, 387694047, 184410804, 451594042, 677737450, 700266841, 790998449, 983438722, 706328626, 250762882, 647220267, 596114504, 522573431, 368335835, 116968162, 265467938, 433197341, 410593071, 689722571, 100882194, 250517565, 267394198, 654885954, 791220086, 385387395, 512629463, 427780382, 170956603, 560612281, 772076965, 720564842, 488615934, 496487939, 938725656, 344192520, 688755731, 110702180, 922350327, 273458122, 737158042, 781943315, 303792122, 340675387, 864307143, 806616164, 521146724, 388790616, 690256761, 60107634, 286219868, 596962067, 401129328, 3889485, 847924455, 979435561, 636654269, 910632239, 75718267, 430645998, 883062573, 78731248, 458560935, 210409424, 822159050, 391028691, 479458762, 807759689, 805467099, 391472631, 999061610, 863224004, 688267509, 179558502, 308937627, 171612608, 196507573, 8226690, 35218013, 651260077, 917416729, 283822888, 729020905, 489577865, 925303596, 246169850, 447609486, 305785839, 138918250, 535618005, 395080705, 840329533, 642433981, 923222229, 97518185, 943216342, 863719630, 837664589, 177492642, 613251889, 883509110, 864465797, 844094073, 421112860, 102956809, 553334773, 33367108, 400740021, 203737987, 316599432, 236017967, 410849848, 635198107, 771254195, 251259615, 459544712, 540355720, 484074381, 120134184, 780456768, 485597522, 617441391, 620328097, 781190683, 426842509, 693597921, 595298352, 178975374, 656798243, 151445934, 811132838, 235866953, 877793433, 786950615, 22681856, 920348392, 452775298, 986977771, 56345757, 766117314, 119243437, 510109445, 148064871, 103002707, 531949818, 966192244, 617095082, 639927510, 358547925, 2883468, 323176740, 33976940, 887381028, 639641104, 444391049, 825848115, 401579326, 49924231, 774504372, 878084802, 438736343, 280764838, 477861458, 305398000, 365919126, 117014660, 90530276, 223286082, 291332275, 194474090, 894003353, 565760011, 375913198, 153404764, 341017814, 313645146, 358356814, 552393957, 479675974, 64236486, 988652945, 940311595, 573275015, 588685691, 739444804, 715734849, 92919073, 95753635, 536207137, 946370747, 839488653, 498323784, 476451053, 72413659, 933210640, 457112560, 458752884, 180856524, 983236538, 557099459, 529995835, 926253994, 742849187, 342913171, 604768245, 838018587, 803865502, 200652393, 169706181, 614344516, 674422514, 308979502, 765984833, 348054262, 126912774, 707577036, 472653114, 423888161, 456193180, 66461691, 285685093, 540995782, 214301182, 22299842, 539000136, 11718239, 13206791, 91466661, 63830789, 844963994, 589466276, 226811295, 167471765, 853430338, 108591090, 51827920, 869173817, 301480866, 935946965, 919250600, 154795190, 425361886, 171870810, 316299095, 215697575, 155462995, 664565769, 609527593, 350858889, 766351396, 708760825, 144720506, 5326842, 351968601, 795875700, 633752781, 144309113, 269426973, 514590742, 478952952, 397068883, 483210, 903556971, 384232999, 384525706, 317350321, 673491018, 102183212, 367097956, 868164933, 999030445, 736378698, 217439879, 283982012, 438397539, 575564836, 753967089, 175708960, 412930649, 884483303, 923631348, 944453572, 37184601, 942236403, 616279693, 320226682, 762709977, 245927662, 479470077, 778597054, 765306649, 904549370, 727876269, 872620103, 170886370, 888444142, 855990907, 746741327, 623543118, 616767394, 274015708, 371264586, 938363172, 602136544, 5121907, 816193356, 278008691, 120457940, 292909843, 134407516, 266855193, 582265333, 487428920, 33903388, 883944844, 996644083, 144719175, 39689161, 424289042, 553754672, 117371262, 182849470, 573768345, 15512358, 438205647, 709504272, 245854884, 758552849, 911166829, 179552501, 933420287, 170398995, 750671721, 558518772, 739363661, 174590890, 988584173, 597670431, 988919279, 380917937, 235322464, 916511528, 964987293, 912235250, 460751322, 481062140, 517178602, 433118684, 884187269, 813047920, 260108521, 771891610, 67180856, 67692516, 946607800, 748465252, 807227704, 605986010, 639569963, 823459529, 774631666, 779371270, 391824543, 334621050, 425194741, 490986952, 405423883, 294658403, 855035557, 268810322, 908627670, 850662293, 544492775, 787998170, 836929703, 305979856, 207950875, 66843008, 916238441, 572189328, 966287456, 144131350, 889967423, 771031945, 394270857, 224536928, 695808640, 388137927, 771022337, 625631027, 303754181, 653353920, 964589853, 938425465, 755683021, 323880830, 750963488, 337444540, 47795552, 504231403, 362678177, 711224267, 239181312, 352082927, 844697922, 608690808, 567108619, 820648549, 831470735, 131819488, 452875939, 236504294, 812755420, 448395358, 127429881, 895215665, 136500513, 680103027, 709741933, 83237379, 31186693, 85280038, 225015595, 990263321, 17403044, 702768466, 371625217, 689428379, 926411632, 208823805, 937725433, 687037143, 254938728, 813469932, 87663854, 742699924, 357511406, 704424156, 273193473, 335307671, 452555265, 760105171, 286664170, 999193583, 311599503, 465829552, 675180690, 326904371, 85410941, 709871833, 624283060, 314883674, 700936741, 986713996, 294309855, 230899320, 383249980, 94270733, 837273005, 707287632, 567074790, 114619612, 31292085, 718908009, 810426882, 152494066, 832704914, 945591132, 126567325, 388012698, 501494863, 718251516, 420292959, 169090612, 816089214, 486041868, 408081394, 653652506, 624130979, 980270500, 499322388, 51461772, 20518627, 959149107, 946721170, 30358281, 153193848, 402188570, 382703386, 97311690, 943934004, 267493692, 676485361, 271088763, 189392, 849949014, 368141519, 364426571, 929718969, 411807418, 526643452, 47842799, 162637920, 512298819, 624946145, 288148069, 730546282, 223375135, 279669518, 342929454, 346568452, 626325245, 203796627, 337747070, 546891917, 193446517, 88258816, 355206206, 168611927, 378242113, 633047195, 968530242, 220672359, 642613345, 77669205, 680408968, 348361636, 756117845, 487840395, 614614203, 290965357, 61735792, 775505792, 744913573, 74812209, 472870216, 498746395, 978216286, 992911656, 493492912, 416336926, 92777874, 378133612, 766773580, 503914590, 964014124, 816870855, 332837871, 549028976, 243723848, 611509005, 622776867, 701613586, 927530077, 29286350, 599358839, 272131387, 103586743, 650687795, 311131803, 72046091, 68131563, 459227920, 218545147, 402032457, 317222954, 981607464, 420560723, 834304223, 877986590, 617532088, 501035956, 959751365, 360466345, 929031678, 416090738, 486185860, 706203269, 387536723, 239108411, 531218988, 513951010, 507598745, 616765115, 821162559, 928774996, 273176472, 467459755, 290104105, 192278967, 748449422, 654293301, 386210412, 327961863, 638157305, 151392660, 779705436, 942335051, 487000033, 148619671, 901344202, 666388055, 393066941, 54726027, 191645409, 684468687, 980175064, 464987474, 833480336, 695936859, 464097615, 402828229, 295634363, 853727004, 1661910, 958138899, 33754215, 431244903, 559227878, 183171949, 244173362, 428954133, 584028446, 583152145, 447569574, 556165918, 89814802, 978740599, 965800971, 618787714, 162891221, 284079827, 121087786, 136778506, 366529974, 66624914, 677243573, 620811433, 793088703, 335350530, 308776003, 510778331, 560004445, 548539507, 944485252, 929068866, 422083797, 259531117, 616175949, 338886401, 560067580, 56068534, 403938305, 244133026, 14701152, 872463625, 963999547, 480723683, 97051622, 817860493, 8632649, 587901920, 105791497, 503119781, 544039641, 468694243, 249831778, 410203092, 862064688, 179676223, 784850455, 217885201, 629649222, 262463805, 865377180, 597277248, 604703598, 556928608, 945023813, 622907090, 415827563, 39885883, 744104712, 416657176, 525432884, 140724163, 223387080, 641317504, 626482675, 675861094, 79295850, 724357963, 762270059, 474202963, 252982983, 309335964, 852023575, 18761755, 212480871, 291500510, 474320530, 985554089, 933603379, 738044811, 563917627, 903925207, 387100824, 427841910, 45834372, 92553571, 98102425, 446235023, 25095098, 89786949, 512483814, 492330064, 136816605, 30099403, 857366777, 104934903, 579573961, 660556988, 601268415, 26240169, 705633420, 819961837, 272848665, 950592612, 900366993, 985378679, 916037221, 171375585, 949992542, 299967623, 283407342, 586902371, 480730687, 4088114, 380394370, 846518041, 867835508, 381493660, 706952084, 349131763, 750459987, 214077262, 437482647, 213515026, 579824327, 498340209, 498202749, 625073265, 988972259, 177523029, 784369756, 411918352, 680773690, 57695851, 172042152, 523892175, 43706140, 582641462, 584292083, 688261450, 590012175, 575450050, 364291531, 695107845, 148741851, 583468807, 474626062, 258562553, 566000705, 212770026, 734185142, 267619855, 841904976, 796960237, 949019366, 500928349, 273616844, 601858185, 115202506, 254433683, 823657759, 925761178, 390652234, 20905617, 60797389, 376248729, 886385098, 117979069, 679843273, 381652609, 103936454, 786941909, 91286776, 761794271, 826854270, 113928621, 49796393, 403052800, 202560184, 849612874, 862639786, 954851896, 946197829, 347013707, 136982428, 952003383, 287436486, 238181924, 537279327, 28579892, 676414413, 160655288, 83043560, 667895652, 536182301, 685278090, 567135300, 27400168, 812549357, 725852630, 465160349, 921396435, 902934209, 727315626, 271807750, 234055703, 347941992, 217346896, 935937011, 989386614, 146767874, 870930333, 678406583, 186581172, 214804318, 792178530, 273792025, 191345509, 365145778, 301612373, 360215683, 379102492, 268158014, 956724493, 670556196, 506120037, 567746164, 113041681, 264033478, 601202897, 957627338, 840088178, 86824413, 445340116, 181509034, 416619273, 659185210, 870122037, 969490674, 350761605, 234399748, 536636448, 900739384, 974382167, 44417973, 102839031, 76166966, 278503326, 31102458, 943072102, 831756119, 960378827, 556842802, 306024335, 231584378, 503839857, 261105150, 129403563, 38240617, 566476727, 25028064, 65465971, 181578371, 837045496, 861095475, 732392588, 16785361, 261830968, 287649773, 192973925, 361958570, 875160560, 752728547, 218428289, 863595469, 295557775, 726614606, 922582021, 402740625, 307713163, 135184696, 526938641, 825723154, 473161125, 622463123, 415279809, 618053891, 981487310, 680772766, 206049248, 311165464, 456151871, 931405637, 876272495, 482680006, 530479461, 318895592, 253914388, 600544174, 434429887, 718953453, 821302784, 31339654, 502185703, 787212430, 786958035, 717125604, 89926190, 378926973, 260457654, 258326884, 333508196, 920081823, 888386730, 109721355, 317288849, 284888377, 871748095, 92999752, 129853916, 860626543, 961375327, 217319026, 767591300, 679515786, 861694653, 391141160, 88724233, 898719585, 193332111, 799380521, 160104301, 720185093, 812746383, 257409242, 913721848, 752988567, 972404785, 453738053, 143024510, 151131826, 171577136, 755425529, 648956078, 475703195, 193490964, 155830244, 401693373, 501547323, 149233723, 501253165, 796094513, 560557365, 674880158, 425847412, 789234724, 934522982, 235543747, 640964113, 868599905, 506939895, 26688794, 235455597, 119204086, 885724989, 418558546, 243624597, 979976483, 913358438, 654359926, 135937620, 569321168, 211509609, 307349745, 384998829, 563177493, 510387494, 322418416, 382155418, 179873810, 85818298, 40487879, 286977883, 264650851, 239246502, 433008, 795409932, 161143395, 851066705, 522577922, 51969475, 303097170, 525446882, 1260937, 813518302, 621876167, 768213354, 889225166, 564564166, 64079567, 855391565, 558931146, 818035247, 99770910, 278994908, 43228303, 281022961, 74639090, 36669996, 332255545, 409997028, 29504392, 515492845, 403369011, 594607407, 472078682, 319344991, 746437824, 611353666, 858373052, 617373639, 471994843, 763925526, 141853143, 369516300, 495755351, 133929659, 304278447, 340412102, 182609802, 194427504, 260506160, 912804989, 136246535, 19131913, 770883893, 222764940, 622729176, 999390488, 27942475, 292693708, 323781574, 480939154, 267234098, 44354366, 238789023, 756340601, 913622507, 810880044, 767373666, 952476974, 218531847, 337345311, 269719503, 124549413, 332859772, 913039131, 825371411, 550775739, 743858124, 250821189, 677756223, 65370794, 347351633, 85301263, 155371960, 758492635, 306945004, 507009987, 806625865, 587306687, 94151435, 445273913, 464176579, 594574641, 396701891, 68229526, 347861958, 49736786, 156968774, 486977742, 908771719, 387923681, 545191516, 589794745, 570976491, 983061156, 99594946, 863327089, 478535740, 173801790, 505716536, 980059937, 823448352, 310516801, 236536245, 596843812, 793446145, 509000348, 279449893, 371168424, 740725742, 220318780, 804525331, 148531381, 591440983, 787936188, 172089621, 839330789, 155362486, 176904476, 179920846, 462273540, 949684681, 116941022, 298917022, 963045832, 148226950, 313079294, 297045981, 272514387, 19472100, 787574941, 917085852, 685356712, 899339069, 452791686, 463182021, 63056345, 44241627, 536478890, 151523778, 395522268, 367864926, 838841020, 285726507, 554669659, 184905634, 742433109, 249409261, 781280163, 684857004, 460892738, 245052214, 312672979, 644463614, 44150004, 824160443, 195874280, 855248962, 169104717, 597163617, 103510010, 751954822, 374287915, 769316563, 113759039, 665659317, 661241451, 802341914, 11181895, 851763213, 135346535, 825844045, 638189759, 172707220, 188567925, 699433552, 790140084, 710954284, 5020665, 790507422, 909813702, 799202767, 789744445, 44956269, 988941546, 662253141, 471931895, 863889811, 858315485, 643220129, 609553047, 788851957, 813822809, 800287507, 293922598, 183525156, 870331995, 486472005, 722356426, 1426155, 466071882, 37128501, 21550214, 159863360, 904448010, 535656596, 134020476, 495084181, 155440139, 976719629, 767544431, 228240157, 726004533, 321958094, 385010040, 527642363, 336883841, 393828409, 552663231, 238746592, 874641217, 238295470, 490506067, 890256380, 313887046, 954571558, 625347754, 137036504, 299137324, 187974073, 984118908, 17567153, 677307178, 671898072, 593636359, 409297401, 470938340, 195383404, 663287121, 774337040, 168454574, 234914258, 591403157, 85601696, 120836858, 504575553, 301142091, 893963887, 762067181, 95759418, 200289891, 478819458, 582943946, 21537448, 996425170, 727074791, 239265113, 366577079, 635968060, 209879763, 384305484, 913054350, 347477148, 251727432, 461658224, 464731534, 979080068, 992882432, 565021945, 581353310, 66165450, 346489985, 462560156, 828518484, 389122463, 423075823, 619297788, 137971880, 747645232, 920305068, 377438381, 404712970, 655316265, 746386685, 862736878, 91442617, 877556098, 369810960, 504277209, 823766413, 507818138, 68788864, 159468632, 136847349, 348839851, 835510406, 159459664, 404903009, 401552292, 459435207, 628383693, 7539421, 515146380, 262182013, 659089754, 440013090, 300924598, 173328361, 803604029, 250969610, 191677037, 556387584, 472610737, 909624019, 629047472, 168708979, 769301010, 533755719, 319195838, 860266461, 298559175, 287451096, 309594172, 459704419, 829247412, 639996372, 41301244, 930750077, 249425630, 629210538, 14532017, 946954128, 982886385, 9672197, 262585052, 664742393, 749692050, 592716590, 626932772, 747161998, 482916310, 343875324, 274023813, 273160949, 423904105, 90029175, 874020739, 347848841, 219446851, 80505871, 917793532, 135853995, 631608006, 731641895, 526321382, 587101429, 890249558, 51830958, 766713682, 241537294, 620012991, 714012879, 958934633, 918409416, 309089925, 472080943, 246336413, 189852268, 396966351, 794652402, 677436245, 492197810, 438966600, 265407286, 970767471, 747527271, 415635650, 673595508, 109319236, 249603864, 698188341, 998080299, 10579186, 458689641, 333071021, 397600865, 837531047, 865092630, 207637421, 710313196, 485252187, 717954835, 94011131, 817893332, 922481624, 418417011, 547825706, 987001149, 467716181, 189803599, 933009911, 450364499, 366419009, 507471621, 297013854, 611625157, 913848205, 816940710, 363241574, 480376004, 632511988, 349268017, 99510975, 896800618, 20957257, 667136626, 682967420, 784432860, 936889935, 795903918, 709771676, 389322139, 709051292, 427393296, 565935890, 697876732, 299955216, 37364267, 939049548, 940010077, 831345644, 769648045, 7767575, 240758134, 871547295, 684371172, 340981263, 123073219, 654636490, 150638263, 906037085, 268941026, 825993582, 375449959, 888633615, 727905021, 434615509, 637455730, 875646512, 980782540, 115616482, 437050826, 625133362, 272940390, 53279330, 623642143, 650342096, 800562138, 373612502, 803727922, 134013241, 722570984, 925052253, 681045189, 595119700, 403399826, 793811892, 380288517, 452016335, 298884778, 418798496, 559519837, 446947295, 522268675, 746812883, 847977696, 440670840, 967253108, 883729101, 813625414, 470472376, 497893062, 565421185, 514770449, 37886862, 422107130, 877888262, 805448769, 317842972, 106716364, 457077222, 487386776, 619884017, 701647167, 323450706, 924675576, 610525255, 842585852, 652421730, 613903086, 677038111, 150424496, 659692947, 719704394, 916209547, 121672094, 529693614, 54797798, 355035678, 600808582, 367375414, 294615020, 543142894, 163510762, 20182205, 749075965, 401998900, 798941538, 766101146, 554427678, 116285338, 690396432, 953594662, 30152042, 265342790, 624927895, 406342314, 504305670, 144546567, 842780975, 215600692, 383314323, 601198807, 274737470, 838130097, 266973847, 320987561, 435707079, 860112419, 359254473, 497999205, 55304625, 805638418, 130798849, 690412174, 830031540, 407276482, 329203935, 553667410, 953334599, 145087607, 752962719, 263446847, 65441300, 546519690, 615474310, 110000670, 113613743, 794313965, 384112437, 979174410, 13444838, 286743230, 960285697, 540069925, 307282004, 148409652, 818464889, 883057580, 33644699, 436034836, 140356312, 2184607, 761906890, 884268489, 943341822, 420814233, 572487785, 292664984, 987956843, 717597808, 509417288, 767309817, 559812155, 695660327, 395390504, 534562117, 391757712, 7292167, 122059701, 957559000, 315275253, 778089919, 701002690, 181426825, 43522511, 874544364, 419889381, 184640792, 257743383, 169919953, 162725719, 530746589, 21806025, 476313762, 636951355, 800361405, 199108840, 382194066, 171850, 182032140, 882473899, 419825710, 230011401, 326551197, 538153943, 279350642, 975678077, 292781118, 229768421, 205974333, 228565731, 815782915, 517567123, 413415691, 754329842, 366819372, 491593618, 71984570, 779202181, 259947311, 585952820, 162426984, 952918457, 269362805, 337253256, 510218295, 649671982, 178624419, 94501319, 439764255, 113656980, 749911571, 87429388, 852778470, 526001577, 540223890, 631124558, 311330614, 497745293, 54532352, 771725480, 330326274, 953422291, 771513107, 447191508, 895359470, 584675952, 909682893, 842294783, 539964461, 543466915, 32259542, 429130140, 244716802, 588018096, 186919973, 13737814, 611496091, 614893652, 498994654, 352651128, 801803828, 919197043, 485607819, 108949943, 291446205, 972551903, 516407308, 413126928, 919424637, 896930886, 307862015, 814033447, 318545669, 808337199, 552441836, 142526986, 482161945, 333884475, 227902651, 375325318, 39716905, 761194257, 562130061, 199071171, 131669099, 834118162, 374503943, 518128121, 631198166, 684089095, 833168999, 299036033, 936907476, 480713720, 326609459, 696062255, 539999792, 341634517, 713933165, 60170184, 969838470, 98234515, 143644328, 447199661, 567459071, 173421784, 474477103, 591538911, 157378742, 970931835, 885372590, 593190162, 943680189, 843782140, 856553820, 961005059, 335999118, 132469133, 866426887, 39003681, 938035445, 64233449, 560301601, 659620340, 67489220, 854908012, 499436233, 396299190, 857356731, 420885009, 753668604, 579383007, 494250532, 754370691, 807814911, 393671176, 350419980, 763643068, 91942721, 298664625, 513244281, 8797265, 470654720, 617081822, 963548162, 234261667, 829281497, 314920608, 852863458, 490662676, 868882072, 628079678, 891799838, 1812998, 873499912, 38691623, 841533297, 167964955, 605066796, 924624422, 691771372, 439664955, 942670008, 654484888, 170748298, 747733646, 260786379, 842420800, 181424110, 815489453, 475734791, 700185636, 608358158, 226858118, 681415459, 96736907, 381944746, 827521318, 703542235, 155532871, 407634914, 372097683, 672932118, 612165085, 806007121, 613165029, 728944103, 729386837, 573812128, 98208085, 38742914, 660565653, 443433587, 942478662, 966984816, 252301134, 295644383, 508400964, 83194518, 726833898, 196571294, 330906682, 727945202, 291177859, 357257567, 876350021, 359804581, 882466846, 795423888, 933717538, 304795984, 818845402, 821064879, 710432881, 740586928, 111851235, 468896735, 250315980, 192487966, 953249374, 989150763, 755387932, 752385659, 724609614, 883040840, 826568048, 482726987, 421891126, 316418313, 658814755, 882765721, 433597764, 729608548, 349705465, 457684921, 770037177, 41844118, 914173109, 872405637, 623957606, 792914047, 970234671, 907160801, 313272429, 201980284, 4415540, 102294948, 463235521, 533767982, 858366441, 124631524, 854720101, 224014115, 179269573, 372916320, 367664179, 345584137, 440079604, 365731905, 906576589, 230396316, 696038073, 909298470, 820759515, 310697347, 394387811, 615547298, 277554074, 242064995, 186607097, 385874757, 366635781, 993019754, 551073392, 613802945, 351339310, 723933323, 216823676, 465630420, 808511690, 114580355, 607233196, 86344405, 902961958, 337238707, 670457623, 569227451, 473232309, 396057735, 489295628, 904032665, 96034423, 628704359, 187767876, 244720697, 96169740, 247451818, 157888538, 938261622, 532502908, 974541108, 16598964, 166183417, 32806768, 782528087, 581059701, 429308404, 487507376, 604568531, 502854853, 526553809, 149028214, 787161712, 721618473, 520562451, 429163690, 363157162, 220253999, 695225224, 982322828, 791164750, 337571118, 972845412, 582638093, 229689491, 970221085, 746856183, 920073521, 442360272, 933867718, 406917372, 820222333, 395566927, 74262648, 175459690, 348950108, 539590845, 521928331, 904073434, 479738473, 437525738, 593836748, 392311990, 985410115, 836419060, 567219940, 564571095, 322015210, 755193180, 675048605, 51872729, 997335598, 421763411, 224809678, 596705858, 494207959, 292840255, 384390431, 979223483, 423783352, 671024248, 291182996, 174291134, 113857815, 476449231, 598988087, 607520564, 241186112, 22518697, 287485696, 690042956, 597861321, 176692171, 363583340, 500981474, 529131136, 908673974, 226738800, 418333793, 382108029, 893220378, 425323068, 381068680, 791606499, 552518635, 814214360, 249422074, 971167094, 791650734, 972366174, 26095831, 952305754, 529716826, 87264678, 935598819, 139411762, 501010245, 820960210, 873972570, 381154881, 990483134, 305807054, 42694275, 332779388, 497658913, 826675642, 232820606, 186101300, 6452380, 131556289, 838356187, 242900912, 850609692, 390292465, 660518595, 625249774, 846890585, 167185603, 336847158, 104004260, 154733079, 85737883, 103773178, 527223041, 133049136, 480461050, 83233235, 432387866, 999455285, 562474336, 697237048, 564983857, 600563691, 755456968, 44454508, 601539069, 114678988, 467756875, 810206800, 367692613, 650823323, 832450066, 745362761, 440796599, 880985113, 263314425, 687540443, 131547277, 780405485, 608983333, 848629795, 121713727, 362244363, 20802011, 910794057, 657942580, 886873606, 749572972, 307550848, 991001286, 489857597, 451765092, 24809275, 401834863, 170047998, 669445711, 504031158, 707824005, 999635609, 378201136, 378164139, 867185612, 314606663, 754170687, 998551922, 35869012, 186699720, 411247520, 172236003, 366586508, 144939596, 866778617, 984875454, 454853169, 701985486, 636092747, 81700805, 153247666, 662888841, 505645766, 636735750, 96800926, 202773384, 121592492, 322859856, 602275330, 239591873, 75336373, 559535464, 750299632, 454604499, 309692294, 796412677, 492429571, 113770007, 93921921, 783255432, 158894702, 75289566, 38253721, 595188931, 225206247, 132825687, 83053018, 595960892, 84200213, 699640525, 173035739, 279346495, 840446828, 516415193, 476285079, 385936308, 381429656, 993492287, 777499323, 594569139, 19299769, 211946536, 323193473, 824004564, 28577311, 94173679, 95509250, 820897906, 669474889, 334962809, 229030035, 562798363, 194378149, 246339042, 280893132, 300305786, 951277337, 847652131, 32535455, 65399122, 881898648, 261940645, 443902890, 846479912, 449779450, 183159146, 400912971, 337079300, 20824019, 225133778, 276749314, 207861772, 90215278, 299106632, 505867044, 643516985, 526646587, 36706942, 738687372, 759633761, 253849571, 603903906, 804589932, 455301181, 463014322, 903006479, 562828633, 995624047, 745903908, 678991733, 489876267, 138401171, 848635772, 888164204, 739694927, 333582014, 248367592, 10721427, 357446407, 475434206, 320664224, 852006760, 678803159, 409826055, 717744813, 403299367, 963934599, 188580419, 209368084, 556102879, 109670284, 951323069, 984693169, 687725676, 545295012, 397147671, 372368649, 31046366, 779217099, 653421129, 203037957, 507225572, 457427594, 579724166, 42025757, 856843065, 139552008, 516148088, 516134979, 627741342, 630564797, 517878981, 707225372, 876224637, 472062017, 840849039, 692335505, 854080264, 975812067, 766960862, 455687168, 638096007, 404799545, 500240821, 615244280, 168298481, 889187427, 302653187, 325541097, 298196988, 702370838, 154390320, 548368091, 893741826, 456499954, 422473015, 377587600, 880675987, 972887979, 92848960, 439985665, 904178321, 518756855, 163439077, 501601045, 363576494, 107548285, 11079074, 346919542, 739876470, 35332562, 549592668, 13245524, 143062310, 650389392, 310000901, 137273781, 564696340, 17657246, 581107704, 662224915, 301333325, 844074554, 531132302, 667724130, 536413906, 27187851, 850600294, 321326826, 807319693, 256619042, 103256708, 755779642, 683467922, 646673062, 806091318, 818584041, 982805134, 622763658, 86972367, 204299098, 695723166, 238374877, 313058903, 599409902, 757769385, 935094903, 685387304, 551967586, 626401837, 27026799, 77264148, 958142238, 7021931, 902537294, 348505552, 156417532, 301182818, 380969143, 153256999, 432625203, 833405002, 983108878, 547444435, 624703926, 610310131, 301214259, 188384275, 413424852, 186605343, 928205672, 235866055, 91155011, 944142278, 844056060, 921357311, 547530392, 621366421, 868379621, 101890134, 744294122, 108400965, 585535431, 941223236, 202413414, 707964873, 954375981, 655806805, 148469318, 69933221, 481973396, 355094075, 291842012, 28583510, 520303777, 931691932, 373652373, 715224878, 340120109, 923074984, 656566333, 394603976, 193378397, 519399779, 242009600, 16249142, 205159838, 593127618, 133643239, 700501613, 507148355, 95810671, 518804081, 555480872, 838952366, 2722467, 232199376, 504242239, 992972387, 578617371, 175243675, 834856251, 84288631, 510090496, 527454853, 774153742, 451205376, 978473956, 672055800, 106895170, 658257324, 287447496, 703310011, 44245185, 281613759, 985117004, 806731670, 472746043, 131297326, 261766978, 93496296, 999631754, 930502436, 723861751, 447817714, 411571551, 580752396, 865672175, 460794428, 654252143, 705162682, 687675245, 522234030, 820100348, 398260854, 674209868, 1073287, 753762350, 125031358, 310295870, 726360835, 451312891, 569659846, 81852236, 648305201, 776455795, 937816883, 591725649, 958549189, 216967266, 982968757, 390179751, 208660960, 889006537, 756009824, 982146223, 554521392, 311129475, 500014701, 157545041, 20332501, 776257409, 948679308, 911461378, 278846990, 26078764, 567884673, 906617361, 999429812, 611685361, 291493954, 608793488, 900727214, 853224874, 66347913, 761303311, 965239635, 270941528, 137700479, 618612918, 65240759, 94973333, 434948543, 170983368, 353121657, 603331236, 494893572, 997580715, 401807424, 54371163, 794762770, 779150306, 407431856, 550733040, 650085067, 947941945, 984061253, 140142363, 248444734, 805084822, 278075736, 171120616, 191257921, 885867795, 382869907, 503122447, 343798655, 384161000, 514737082, 624615692, 707356725, 808810963, 226929570, 657378152, 495090263, 606067931, 852630001, 170937035, 712454612, 853122997, 42120808, 727284869, 341096867, 22916188, 747518081, 342960800, 541434116, 259919570, 349127, 993343309, 626957752, 294428033, 737854833, 708209238, 309401533, 89247876, 338569055, 218861075, 751517369, 605433330, 132254374, 306074196, 512702090, 752793226, 767048599, 504130315, 491045674, 341924584, 910608849, 637168597, 981983350, 522503466, 634761242, 842141589, 568824613, 330413190, 76174864, 151965562, 494736532, 745191988, 61228323, 410754245, 300684995, 901179527, 299612696, 795948597, 984356687, 315227548, 325340712, 720374318, 675427002, 106754704, 157232235, 273125698, 80246967, 154867932, 945585378, 532734615, 509582186, 296879847, 504462953, 965241506, 731614057, 43159677, 597928482, 330501085, 201375012, 293116718, 789470025, 412051075, 123429227, 975239366, 959980500, 355217012, 676088395, 860350698, 644343162, 42805924, 850842927, 617621396, 399950486, 579897164, 827421169, 938043968, 16870023, 369030755, 643319719, 49010457, 847888143, 392955385, 861540428, 521128128, 338350848, 821243982, 175778591, 116316082, 441043590, 498558857, 67113237, 365510371, 865564135, 895616843, 743361912, 755817912, 274680224, 667702203, 331649606, 296293474, 265490951, 797897015, 427017048, 513697670, 276335268, 797377010, 316447667, 59199545, 91552432, 251685847, 755105758, 533615198, 280849262, 571184940, 477250279, 692446598, 598228469, 216265570, 897172815, 512751725, 459802963, 47556047, 824621973, 801694655, 576844448, 71019235, 782710850, 540470220, 439892195, 305117831, 227232427, 471042743, 712756973, 123412983, 180832466, 675348514, 52408662, 175893445, 196900351, 256446609, 175193596, 726046383, 82372866, 983564175, 866158019, 471862971, 884272346, 390602269, 436928712, 614660183, 644288691, 422304872, 41869798, 181764762, 261535194, 426929939, 923357917, 87827360, 60596586, 247347948, 769012480, 479205598, 931963956, 967720718, 290070190, 247361720, 62988197, 230649759, 987472641, 196923581, 3020652, 265541235, 950332780, 218729854, 595953973, 585980485, 1049341, 472378275, 915531017, 966696050, 328274778, 332339825, 100782021, 669862095, 634015965, 431928420, 876412218, 471742221, 341240474, 26411080, 811219030, 954564390, 662428408, 637180214, 683937983, 991082328, 872685635, 274240436, 614234364, 84066481, 292074727, 269987752, 730504483, 59299152, 76097898, 33234435, 4707415, 321995643, 291177990, 219800510, 336158875, 306987359, 213596888, 804688165, 76352290, 866148290, 268983350, 515389464, 350744158, 232213927, 229038912, 411478417, 91276077, 76120473, 239865962, 72768319, 674391680, 293279925, 658195814, 145271473, 718192601, 442842733, 141455265, 411955230, 787858555, 341936714, 14896526, 108465692, 907801107, 363027072, 567540935, 749349823, 874020240, 335409888, 364388497, 81386145, 353465126, 28677775, 271651389, 109786821, 210181167, 810454502, 4119885, 471715295, 392262679, 272102105, 795880843, 341811774, 608510591, 154952936, 645254885, 756387854, 309306425, 182736007, 80538287, 671847088, 839015619, 109286328, 927619921, 465487020, 322896298, 762295577, 243062349, 927160927, 478436486, 981151512, 627651722, 297385933, 129442147, 764156526, 605525100, 582633598, 136131263, 274738902, 846923848, 966792777, 308713592, 719511657, 29870503, 948788382, 857738320, 489596091, 948565876, 88212201, 963598575, 218263680, 888716879, 863492698, 313352910, 224431206, 488039853, 746572565, 960599248, 807108758, 77343710, 165977337, 314360776, 860285583, 845450648, 331869266, 231444848, 485783936, 124786773, 692279043, 735881960, 86716194, 533038415, 395733870, 481907322, 79901425, 395413660, 636175044, 7972257, 667917360, 963383598, 190773384, 795533673, 885491635, 43106956, 309843017, 219121805, 609611326, 525457480, 455795613, 323573405, 20775239, 634898447, 392909801, 619959599, 4364973, 245444266, 311852750, 398931584, 836918116, 830431729, 6179725, 365396715, 236529057, 410446320, 986781053, 759817341, 412089055, 683781065, 220035735, 753353454, 839021563, 769140388, 27883023, 972739683, 78818518, 185360838, 623684733, 143053054, 638283146, 636167349, 349866027, 107063186, 878962912, 813174934, 758421025, 701540056, 85176722, 640681566, 78692219, 246051071, 172531813, 463400958, 688910160, 624785059, 48315934, 750709744, 303766313, 856783449, 931617088, 414135145, 702151870, 377205554, 671135489, 29653348, 49511929, 477881760, 436209714, 135628027, 802668726, 366100099, 403868931, 124967851, 32168004, 214985704, 978536328, 490086959, 460321464, 149576320, 97265789, 976450769, 438008389, 339072412, 656209103, 119614048, 418919804, 209521705, 914807537, 177205340, 581579776, 831491660, 359286813, 799422869, 738211743, 483675752, 764491357, 255929965, 185567232, 910323464, 712603003, 360588102, 308422388, 944043506, 630448956, 719358714, 369788555, 930512707, 797651110, 146319052, 268063276, 109011404, 801815204, 194773774, 598527292, 686878087, 953818032, 350190002, 132463614, 946165673, 914386438, 929622586, 31011207, 168685941, 37629321, 295071029, 453958026, 68973279, 274654257, 880904438, 911937400, 954331410, 491575905, 662685110, 33125488, 830650132, 250206619, 137772541, 164874543, 517084669, 781965160, 49569870, 281108956, 559037099, 987558578, 559638001, 225719175, 807159003, 440466585, 221791771, 893810416, 273962374, 591738945, 136459156, 111930935, 357113791, 77250565, 920201686, 27652921, 168061656, 509320230, 516236067, 228649175, 774019665, 303946537, 912568273, 763982616, 814731048, 771947795, 334699555, 628612266, 596320429, 359215528, 682801891, 610310506, 93248248, 546367917, 716583227, 509610741, 125797324, 202732687, 272679576, 1566601, 599410264, 579158307, 986106133, 226082651, 9196670, 452031023, 377595955, 367211206, 945739883, 934168080, 411854489, 541875469, 85079543, 643238705, 803234091, 930067972, 61248417, 932082998, 48275023, 699265683, 48090667, 40563186, 410666315, 310785172, 954924700, 64499823, 576291359, 803790065, 763516453, 319717553, 631613305, 134729877, 309260974, 570730339, 298896114, 624164835, 68189626, 201075232, 930238317, 832210948, 387221131, 379234378, 581078136, 163310224, 626566813, 651528636, 314905808, 13715252, 647461562, 425520697, 782160862, 13790874, 318687662, 626706735, 873305154, 222712864, 819672815, 276759749, 443233133, 827780705, 794394959, 133790435, 241515, 19590787, 54039318, 415013753, 147581836, 46625924, 92889757, 508140979, 155224236, 8908223, 725387605, 779871287, 909809433, 847217386, 244412946, 494377820, 91464815, 722049408, 854090353, 838274522, 292201407, 175902588, 405074835, 879817110, 278636758, 990291673, 501230063, 771141450, 466565035, 20134486, 998308196, 435346588, 583540864, 336495482, 516189271, 727287876, 121376351, 759083153, 130222151, 989673181, 312390828, 213376807, 251154842, 72828133, 347163791, 573150579, 44801007, 758426463, 771117180, 598612227, 466033922, 983961311, 836608657, 691703808, 462537714, 117702848, 142700122, 39927497, 400286121, 343350224, 448272113, 457717101, 660334804, 661323424, 800828097, 649898204, 238974644, 621253816, 237644022, 21394704, 18123825, 724149981, 302630605, 328909429, 541812005, 269743978, 902189488, 733845154, 379746703, 125592107, 356348040, 898544769, 742083643, 638662725, 861458055, 300704556, 57960267, 594348857, 273938190, 582957275, 45761410, 490665613, 374629510, 294037919, 904040790, 175524620, 823512783, 185239212, 542256019, 634630394, 762726173, 111593753, 392390659, 507474845, 614478438, 509120492, 967479295, 570781248, 204366439, 43729486, 305249271, 379815559, 326375174, 598175359, 77027376, 222130061, 689566924, 127085324, 841837324, 493629956, 308368220, 815004732, 94011610, 934500887, 532192852, 52085408, 101605081, 573464966, 902797262, 511750870, 533480792, 975644147, 838130212, 44067041, 775639688, 717380387, 677544053, 879614676, 849979561, 488806939, 292690755, 569430596, 399265537, 273423626, 451424875, 283165157, 51614068, 719900712, 251749337, 477550408, 729368883, 712658770, 442348107, 500498376, 533765664, 429132549, 869559432, 28391562, 565553705, 47536227, 105120973, 659717322, 211334714, 675586740, 672214740, 520625067, 59518038, 363774808, 412520611, 168758003, 125511572, 274552628, 998319631, 819850490, 127700024, 345733417, 866491539, 260958064, 747458265, 756555289, 467356946, 49025781, 888989615, 18955356, 943318907, 223375917, 472322509, 839264788, 962731500, 18373763, 674186799, 483691233, 287699619, 394382480, 249063594, 177133931, 509862015, 300434737, 517869700, 162903855, 887831408, 17081290, 832372463, 193902147, 618744624, 949572142, 400018469, 365338013, 993611400, 322078411, 14412190, 316317087, 461222651, 724835889, 216746160, 422324153, 758037318, 523416651, 25971966, 397736414, 947742921, 602889233, 253001174, 366678080, 335732288, 330947431, 606806497, 365220294, 1462533, 493351584, 15010989, 399621255, 599092291, 841883837, 19304563, 456186135, 449885657, 841039626, 177284185, 111779506, 147872243, 179645108, 956344328, 115186766, 812040138, 762983109, 772874994, 307718072, 264128625, 131825355, 220738025, 560712238, 426321346, 926309996, 694145216, 721149714, 974693059, 965643779, 822697210, 277136118, 738418906, 822884858, 469382809, 244975983, 72422893, 825364137, 780016878, 706408504, 769934716, 687462176, 722060755, 10435324, 566990662, 532170938, 383736607, 99254347, 575147745, 997568637, 720203232, 943868770, 436527114, 415693868, 259218282, 722085351, 518246840, 789285592, 898287526, 449102767, 793181179, 806927494, 859547188, 438742317, 940060614, 292255655, 958912907, 371037362, 201573712, 981341186, 288688140, 430325864, 320442932, 780183623, 577630137, 713001794, 303340728, 611301852, 428218252, 186955055, 278908837, 270473175, 183226485, 178703264, 771768930, 720853870, 88148198, 378287345, 339613481, 348088268, 245394542, 836716854, 759825472, 908951770, 237515786, 735892832, 211334542, 231098168, 216322645, 218098514, 631449621, 687141486, 265281288, 278197432, 69428162, 108040680, 328544366, 800536756, 970680472, 699575151, 898791987, 78968650, 16307726, 622702406, 448488082, 367967619, 577500600, 487433747, 350902033, 207444368, 6486453, 997194843, 91199240, 781881569, 565525725, 524532906, 950308773, 520693729, 734788432, 242228010, 818281151, 629790800, 648718418, 904644692, 121402358, 474885458, 980084251, 615086010, 463128921, 344573756, 525003540, 723318395, 976922538, 317083106, 283296013, 862407203, 167985345, 840442640, 350835330, 409934654, 849550879, 323058386, 772099836, 607885987, 699209238, 346998251, 52642402, 391352374, 780698389, 317688305, 655360324, 170564486, 991941413, 825350213, 279660862, 437709892, 460395511, 522703863, 282638873, 798741780, 303949678, 21507056, 440826544, 935580456, 566382606, 310315614, 816346169, 768483402, 621481847, 423729807, 792883632, 304454996, 114261947, 293553660, 99659489, 448387087, 199109541, 952110272, 836308647, 797452788, 192339000, 549022692, 871819452, 164626996, 378127861, 539590116, 358073785, 367549194, 840830866, 660700424, 427730165, 54297020, 356442819, 290476152, 220104825, 459576902, 999402942, 896686287, 445426452, 643790002, 513075886, 82525027, 169543716, 698723951, 759581233, 699779422, 683931787, 794687063, 829398661, 516972090, 602261659, 308926345, 677469924, 670347735, 945214899, 825680089, 8241522, 182300987, 402365909, 952625971, 476530458, 300288408, 345324021, 357096280, 710901085, 367581301, 394396551, 425243208, 344131463, 924836572, 285854297, 71337918, 105265701, 715685044, 516631475, 366651059, 657335452, 345644403, 948985305, 919964644, 635711434, 528617184, 11366851, 534289110, 675785459, 534705671, 76126783, 816006469, 995607326, 384685882, 199831315, 612393616, 528644132, 957754555, 209018611, 934033111, 978354087, 894623191, 418261699, 697116900, 44726549, 778752118, 766178863, 216824018, 703269954, 35429709, 542796113, 239394651, 582379406, 233127181, 406048947, 558900170, 204179245, 417179470, 771912667, 482475141, 422713235, 243589721, 466910617, 315029013, 519291465, 333177672, 70010498, 592445348, 751078960, 779163065, 277967051, 84403913, 534077, 394046359, 288873084, 981985836, 977690679, 873750047, 551270972, 164832864, 145061495, 416200494, 974295365, 344822591, 566522641, 394473699, 859961900, 446188157, 468269894, 334770446, 434540463, 525282703, 518008808, 138474383, 25529740, 182237390, 151235695, 26344826, 33531072, 445908646, 66380264, 595050779, 210308128, 602383865, 841614987, 759122598, 936076986, 977793448, 33324623, 789627345, 327289047, 311287224, 591140580, 516757792, 61023073, 341015749, 403758670, 447860175, 584666818, 670864171, 632952801, 416670365, 318826498, 496678871, 76700048, 402700754, 684300700, 531450029, 816085483, 665673479, 808178120, 412534582, 994907815, 96165668, 791820198, 32425513, 414852364, 894644088, 875719614, 20165962, 129529423, 309917181, 586839102, 252804809, 272937772, 405548376, 747082929, 918847590, 892213693, 448849161, 287943630, 560520722, 41099651, 344069311, 858964086, 769684170, 703576234, 391544911, 92824821, 615926077, 769602053, 916677045, 102206603, 318539689, 74144617, 703594238, 691287905, 942643365, 618831238, 933114262, 176965299, 383399242, 850203575, 33759475, 650444141, 375407612, 857817471, 778523635, 221032336, 777163111, 200514448, 703357632, 165062472, 554418890, 281181784, 21261289, 864941665, 576299760, 913282810, 802828768, 90390955, 895759223, 743317362, 917647131, 374328911, 755006595, 78037841, 203981221, 141915330, 123334474, 544662014, 894688957, 3129072, 954368147, 141821580, 247950886, 697919323, 73395494, 808137480, 767182913, 469678548, 595572320, 740725689, 337268045, 53922488, 414351769, 788250364, 451288814, 660008309, 277769666, 370460378, 202117331, 166543654, 909647841, 667049197, 133447098, 538465467, 750734303, 975797291, 781114222, 696021313, 864547752, 303517401, 416907372, 688001548, 420072397, 236845950, 699674629, 277380358, 676434434, 949337122, 138406650, 265935489, 286705836, 189162265, 285574170, 995700635, 598584002, 768369647, 43546280, 713026718, 927855402, 645725818, 261903090, 916533087, 624912356, 879589763, 206625452, 555431775, 955024790, 624556438, 936743494, 31358075, 838955981, 688128976, 999217717, 627490669, 996100033, 725827911, 580876210, 330838545, 66631684, 538614394, 489633817, 521347772, 434313671, 414628404, 910033903, 167448328, 315242897, 964579390, 457698856, 393133320, 912362879, 422170362, 625976039, 426071329, 395426705, 24146330, 402982785, 584732950, 951238810, 668978060, 896681061, 399958118, 372286825, 906345022, 361242009, 642826278, 602671653, 59921087, 470883790, 6171240, 221901154, 80530451, 940572475, 369272976, 159050404, 626040046, 789581909, 849195667, 961184889, 919727631, 983864478, 357121036, 827878426, 811879156, 171836076, 250128627, 933243951, 30589691, 225427713, 882202893, 566548791, 938475743, 127341287, 915741228, 766555079, 1587683, 116582782, 931155138, 574312519, 310839147, 314016824, 401561679, 428044190, 497317200, 872400778, 417863236, 954613895, 489975298, 597460299, 954001842, 207119449, 239738147, 371129008, 707484338, 954659810, 922336765, 542583172, 670247651, 636164531, 205599344, 62718669, 460037520, 196880465, 739780648, 212633100, 27012885, 736275764, 631100032, 10051694, 747146176, 746685209, 906101682, 638654241, 3665865, 451057269, 973533707, 273054449, 550430595, 6111708, 564292081, 58941981, 778661486, 670828682, 659013828, 309910666, 259254310, 158950106, 370078691, 863150754, 46272462, 397948660, 173077842, 846997377, 42851308, 95765996, 763537080, 703396496, 673249894, 691860202, 551891619, 837976032, 884398172, 73793849, 905707761, 317074207, 164652720, 470142916, 562619110, 512753340, 986492838, 642777847, 6354271, 359970889, 801994792, 845070482, 785934339, 360976462, 334116721, 992059265, 362900116, 245354145, 676033522, 505767025, 140117135, 233586667, 66056534, 278047158, 993172274, 509972581, 223966186, 972589452, 330989404, 254798936, 723919868, 592922515, 187272287, 187999862, 793225844, 312073504, 833592618, 106063724, 287152445, 692831144, 558874070, 136455, 734432171, 253967746, 277617807, 576753285, 359764178, 551347414, 693962746, 19094212, 67450498, 445978811, 37677300, 449619456, 145710235, 609178657, 355428884, 834651818, 801628964, 96016193, 564767128, 378598268, 203346166, 976963112, 381938699, 886140668, 778394259, 359673223, 377476822, 143427020, 934353337, 979958483, 635584437, 319117582, 178804381, 234172140, 851191527, 957856759, 819713313, 48368099, 313379989, 265141668, 27578257, 421889592, 873158703, 914122338, 523946218, 880484083, 707135768, 208939077, 318179490, 967159963, 629485146, 386213878, 801049463, 722273795, 991523032, 250267709, 126537048, 81496523, 640515931, 198373371, 624406397, 690392596, 136691034, 555056998, 555406152, 884538362, 123571657, 749630188, 800979894, 244587021, 83303463, 370619012, 619518176, 157275768, 11497896, 622720070, 671269785, 523282528, 804156335, 662596981, 194858145, 29610450, 476781315, 764794912, 854829465, 203694909, 815136602, 656488244, 90577211, 656491398, 601229421, 383190077, 62103533, 360943589, 538290737, 526682119, 670442866, 769246126, 227917602, 557877997, 274962456, 939530476, 872630531, 968579987, 266390249, 237029062, 407334818, 349939367, 369895639, 371741323, 824838518, 131948779, 285637578, 280763227, 354878016, 547578866, 689476647, 727212434, 824487586, 194384146, 98863431, 621469240, 926253645, 747369952, 212688618, 939484429, 120734020, 566618824, 614910812, 179381690, 171084273, 826779925, 942069745, 345361741, 280173662, 360116255, 697606655, 419345688, 537275267, 661058480, 47022952, 47462942, 509742274, 58329263, 773025156, 400566257, 745855834, 30907139, 506000243, 779257994, 246513674, 355884307, 166800364, 834782723, 396558241, 948565471, 577477205, 304789289, 11407914, 971190835, 381684561, 905575601, 909173908, 648280308, 485640651, 58122435, 384028336, 290523459, 696595799, 847206463, 214293134, 973786974, 25808633, 943138330, 689613278, 354657283, 918895405, 109585189, 492224537, 305621500, 844449536, 1981115, 810973767, 851395130, 719637352, 274906634, 877142623, 562281547, 167072742, 837587774, 444480348, 753273110, 494400930, 793335570, 495633575, 635973932, 177437975, 170486243, 255364801, 331484739, 465741292, 186863186, 171779898, 114244391, 725082975, 210555636, 743904882, 597860982, 253161427, 161114031, 634119906, 550759000, 836848822, 21689123, 369446673, 588286219, 55398026, 230573389, 731041143, 945731857, 220233530, 483267707, 967827554, 942676206, 98628368, 754374776, 114941647, 81140203, 416223918, 676441875, 675455920, 132599917, 426846667, 73361693, 185033784, 750489822, 39651952, 405973134, 465673550, 509036968, 818463127, 265241464, 917527218, 188951446, 504349793, 32883883, 848637096, 53285478, 547199763, 558653589, 128690823, 704496015, 622874009, 323620467, 564213773, 111470097, 589725659, 165858007, 502967771, 667204064, 571311880, 331891928, 18241935, 472560382, 172068734, 583812279, 794158111, 354478823, 257078024, 751880093, 593443902, 651965532, 75093005, 208425507, 156636638, 524092256, 183167082, 495736626, 794473942, 492658390, 166195496, 768407698, 768950583, 437172722, 35665201, 817233433, 80438376, 907797398, 749557771, 898026295, 683045057, 151519936, 827194715, 764204640, 217458895, 133776319, 144599035, 411921019, 704204086, 611453839, 374162114, 824891507, 164122143, 836589849, 605615611, 217859112, 902662874, 394831311, 637607254, 575169282, 800030381, 497002710, 650997486, 362524743, 747174634, 655357890, 305956891, 925098283, 523114204, 387867506, 889697959, 688435396, 165792841, 768286970, 389520063, 387448565, 118633801, 787226464, 650070003, 429046251, 163609428, 34668457, 45521116, 507464393, 393924576, 389093615, 372333314, 360527568, 965853717, 266071460, 660485360, 191997465, 916152290, 651805856, 598368600, 237711689, 38559696, 428570160, 974216749, 133675820, 6280369, 168162907, 569527871, 878645378, 156226192, 350193805, 331679186, 300322035, 482208536, 321889727, 24446613, 941566190, 908115494, 731258454, 161618923, 998974512, 326543059, 961746990, 74503316, 308675290, 469927472, 494480207, 936011220, 464596640, 624191746, 456928972, 739597217, 343796821, 478940258, 659655766, 596736287, 406440355, 807422328, 734603455, 973533709, 175194365, 6802303, 286586552, 448621027, 534532358, 96179426, 292135459, 407754378, 652593551, 631127561, 412208706, 408544449, 420583980, 583759519, 761581033, 319115566, 62674934, 279907075, 138681886, 421503296, 102404411, 295022457, 63742111, 187607382, 895411841, 680644612, 23632721, 540849616, 330412243, 150963154, 76280870, 501598607, 123651771, 952848533, 117513319, 97193703, 487513383, 386282671, 958151797, 289889111, 485698810, 104645018, 780481315, 38401948, 670669890, 639501121, 938114816, 219689111, 520213635, 262283309, 901302393, 145396696, 308235606, 724188792, 781008513, 719237187, 889455717, 591210483, 225588961, 27177056, 668694747, 815247160, 948883962, 580962229, 679734409, 469728341, 323015353, 221388750, 661419368, 389042475, 718632833, 77164446, 482039392, 337108227, 636911021, 182274850, 630942894, 140126897, 887542240, 472317092, 321141246, 814471726, 117989669, 54600151, 473343111, 700815318, 465520622, 20765598, 836280753, 216748760, 763550341, 127731477, 255967670, 259660875, 647270634, 477714936, 283381924, 52246746, 230281456, 984787639, 829501764, 972165415, 906448818, 969318173, 462507029, 92552300, 863123364, 765538974, 437440798, 756256034, 923776637, 32056350, 24811060, 886981298, 602058500, 264335022, 746931616, 411491479, 837213410, 820041357, 693066443, 611621254, 746392781, 855064473, 292305280, 388639735, 233304939, 966715940, 41113925, 403423047, 708150866, 568135508, 776887607, 374190086, 924389812, 714248582, 904221726, 152741436, 879016637, 864085822, 59878782, 339091149, 818546947, 988330764, 97271430, 441932814, 691402693, 225305253, 78986220, 316841370, 313930023, 141049949, 839597275, 244201107, 443706712, 96415466, 105961813, 840280439, 188656385, 211266547, 227850165, 924837827, 239145553, 526357369, 126252816, 374500394, 682798911, 493768817, 639718544, 106228260, 117340982, 649501511, 96618806, 162317011, 874923341, 549469094, 282734706, 815314049, 361274868, 512377781, 911884384, 131613660, 663684499, 419153345, 249152862, 322501649, 188572320, 498036905, 878038981, 593843880, 169870020, 616140121, 770874675, 100848267, 55104098, 329740501, 394034196, 572975122, 894579573, 998198764, 106549152, 227666644, 2836009, 765729681, 623818589, 927027639, 176660416, 513200766, 225882058, 857449297, 644087563, 881121435, 595379135, 507260066, 413532575, 716775216, 221341108, 36370262, 506327199, 415802787, 924595018, 654820986, 330125572, 262200142, 184486541, 510103948, 830605770, 134837001, 94269470, 478558788, 235182575, 60056264, 805417912, 88630908, 563426627, 218106157, 565231815, 419109602, 206642620, 918525837, 62112315, 422005459, 16639142, 312842017, 182910673, 76826371, 846928365, 356232375, 484898203, 337821222, 465872814, 944088378, 15087559, 128258020, 778049658, 284849438, 784457504, 46880140, 505785892, 746956277, 508179008, 447883665, 919324739, 608501290, 830995999, 485924863, 465375762, 482114104, 340130703, 17093569, 811399868, 70430942, 458342214, 210155644, 40316310, 329950439, 287198863, 534650769, 114407704, 130577434, 732230435, 499066347, 74131918, 550179784, 898442144, 764086520, 358950083, 766651477, 725557112, 473666552, 228164578, 436371007, 81359423, 530979699, 190238962, 447048702, 530559015, 560197666, 33071433, 728001303, 63608677, 93676469, 596005987, 848681828, 749544233, 717900358, 872554931, 856171127, 428183314, 303951902, 452565174, 107475052, 299238894, 645010815, 414789583, 773897863, 343830692, 376562730, 660394972, 486295161, 124868762, 669751826, 751470236, 634277053, 156396053, 498138641, 292729184, 573010447, 100913693, 369560033, 182003488, 511811917, 736236010, 437125361, 949374004, 490046333, 963246738, 259620333, 62521003, 774297932, 955152851, 349796873, 96644811, 684452761, 225123239, 495654107, 665507123, 644826919, 898484919, 221611021, 985274848, 131251482, 311112178, 70136389, 181540010, 734200283, 913073446, 464769328, 177172138, 5261052, 827149502, 474126408, 565820391, 219211892, 909448638, 241715063, 308749550, 14472089, 569050805, 343535526, 930181590, 833644264, 893491197, 271090975, 513530281, 940042284, 192547564, 402588308, 682207499, 41912788, 400557369, 256361116, 636869369, 23739839, 614110853, 604785610, 462690687, 74326839, 895282858, 887949286, 760621772, 334884756, 513525968, 156437406, 29951050, 397526164, 112040868, 833070821, 295693385, 132005261, 255298664, 92467741, 631210150, 759483409, 36629504, 898419620, 972486626, 191051388, 774826495, 913095695, 413846008, 616358602, 338284152, 166215278, 172269282, 212904639, 458350559, 545964413, 97697848, 755076026, 338637972, 49234415, 36442070, 329728118, 563346499, 532091694, 685054867, 604027800, 14829640, 182546154, 176340308, 5970052, 1529375, 962178547, 634141329, 465778999, 516715593, 853361205, 431091494, 501136499, 347458881, 572265056, 710173427, 45770766, 220881277, 676748598, 745303721, 558894565, 57210969, 643780362, 412898655, 478867975, 152215999, 569997057, 267873507, 249443369, 235410360, 428703886, 181261863, 241561832, 511995468, 68413166, 811839632, 303936858, 812875274, 654739770, 834689175, 951191218, 688404255, 204284885, 196593660, 64841274, 45386093, 673865389, 529302137, 220409501, 379534571, 813213470, 560408080, 547992729, 44453022, 331186382, 475814994, 64313694, 814578431, 514007812, 16672094, 802306469, 972459441, 1405550, 384064935, 595300303, 578709177, 434360356, 18570009, 492655091, 743778801, 676181087, 103725683, 480492340, 563294075, 617802667, 679123288, 785004296, 337531899, 780442449, 933421412, 266253070, 834571921, 532186986, 633963417, 893331951, 802755188, 596103921, 13785244, 4098596, 229324060, 345622909, 976191160, 204998233, 655690564, 255276044, 379248461, 397004064, 254245716, 184762418, 94922417, 992515947, 256114901, 422046468, 51468799, 52340223, 688582806, 687906851, 572036359, 819276210, 538339145, 553178285, 626307946, 732707498, 815952838, 687854363, 606507813, 748085220, 324390051, 167219874, 686451017, 15435942, 234405244, 259246610, 678499730, 689580899, 663503503, 353470968, 869455633, 690144856, 43720259, 957047650, 781346303, 489283000, 961001681, 768259120, 563994147, 298249992, 765666580, 586816110, 669859053, 164042926, 36223189, 366936781, 388461061, 385332579, 781593369, 872854379, 679735822, 309149234, 165421338, 118607777, 986229295, 548718956, 183337636, 437938332, 841444483, 110634513, 848880614, 308441849, 974393552, 874895908, 891697552, 534909088, 885995416, 230606857, 67928181, 969245224, 311475631, 88682426, 803392596, 628456979, 741452262, 666455945, 914324247, 126435115, 582512021, 519272548, 451281495, 445846504, 9340113, 857461169, 66787062, 759500984, 968040814, 142876765, 580470482, 423852676, 602328049, 139337477, 11517719, 703464644, 978035012, 146970103, 127319194, 936176880, 606045078, 242073569, 332581814, 948270084, 794393449, 421769255, 93068290, 935215521, 292073598, 321062439, 483426274, 780692179, 419041235, 64015594, 66295981, 676436652, 581821969, 960822588, 73672453, 579836988, 82330549, 516742276, 221577086, 425104969, 976741976, 236762320, 332853018, 545053451, 373746288, 717925409, 62024803, 100391442, 233542162, 130767988, 875196115, 665249421, 159270098, 626072642, 658319413, 751338394, 146901992, 207350173, 788318092, 101182383, 241154502, 971649735, 409785466, 698181415, 203642481, 812299850, 324022699, 962931526, 62539015, 688597261, 282811166, 663467257, 482006783, 187847878, 354765320, 134338525, 531267570, 877718625, 789444174, 744543442, 935859526, 904182496, 610004400, 515797688, 317200449, 591291342, 685184438, 118667186, 768625404, 219201766, 469258478, 403895575, 294611592, 876292847, 777345433, 379809622, 51052012, 292041340, 492392263, 767892361, 615218279, 999298346, 779972011, 900891841, 571241560, 307078275, 998736286, 642246553, 959601829, 320119988, 382511917, 662441686, 178480874, 247654954, 929544249, 344463283, 477424845, 451202124, 189567238, 400523867, 975841121, 392592330, 11305005, 792514394, 350777665, 221506667, 649603846, 903428383, 868488500, 992010851, 244213724, 522071303, 399331904, 752846266, 717446057, 784245358, 464632713, 713090267, 629901542, 5979383, 161049790, 707976485, 410108815, 555842951, 772616111, 220238375, 741365887, 799413046, 176572416, 851316727, 926962134, 223149574, 13540494, 378737186, 992998791, 590823221, 672504243, 761070300, 555175928, 500008875, 853134766, 866974787, 405924346, 540839602, 285927771, 824890779, 431436321, 484183082, 443026111, 896769395, 38004515, 665761414, 610806104, 873335971, 436742526, 797176470, 247162340, 143293563, 352355954, 590806481, 637428822, 706361473, 406562930, 888393574, 711896362, 57238668, 215002429, 866296990, 804173396, 144375390, 211537060, 534865171, 137994320, 177022526, 273808417, 552052594, 345234863, 33078003, 748187637, 603670321, 107893423, 904905425, 425626013, 501838856, 546161906, 734164157, 529104215, 792152139, 355093769, 761995153, 140357303, 83384383, 514916641, 174771544, 21125058, 624900121, 266162051, 605272175, 653629142, 681851646, 568736596, 132540582, 767448160, 799996207, 135942914, 655733352, 366303819, 793280790, 611307483, 916268811, 178812712, 840116499, 338407692, 682996055, 894778566, 167853599, 731381734, 916442293, 546891301, 667358817, 219974891, 505135635, 426043596, 810986119, 655034577, 257103093, 661292476, 185861926, 307767284, 153894013, 506821987, 508980076, 66632587, 571228972, 660551259, 246533494, 19579730, 576449067, 554374940, 153977045, 628969390, 226017798, 246351962, 388977965, 53900891, 354115890, 498658072, 756071954, 850359907, 93994583, 436697835, 720723736, 515721514, 613434902, 106865457, 505947037, 638403860, 808295164, 729253157, 880018396, 81162229, 711371909, 938192712, 945251039, 859134601, 261770885, 709373395, 553953846, 345946735, 272986839, 225462337, 595387169, 98283278, 462863000, 164134955, 227957351, 557935994, 367290060, 234615338, 383629127, 400474607, 423925389, 842745965, 32078394, 24310237, 634158729, 89400319, 591082560, 903585444, 776117466, 109950290, 684585224, 364465125, 804623536, 412109860, 711942302, 18311294, 245897873, 453014637, 55152324, 865389273, 149518297, 377974439, 833211359, 333945366, 769963559, 75356638, 645490890, 681127287, 391679875, 390282160, 371660941, 257553030, 52615770, 798331209, 887546323, 836556725, 152532505, 873006083, 126803876, 835365876, 109134314, 242953122, 129750628, 761392837, 779969953, 153392061, 476714365, 507910267, 764927499, 633279638, 669276538, 609436605, 725832898, 598418539, 370711033, 696251734, 232928331, 630167100, 257926743, 197299157, 101098435, 11895779, 389301816, 801476641, 70887541, 852310241, 309380863, 225539641, 679665913, 461241915, 553035879, 639447514, 200877404, 517417934, 164014871, 744383796, 54007431, 224962933, 738387277, 722292966, 156298937, 249747051, 984485339, 295141878, 901871191, 640921448, 942569742, 815469543, 656219174, 900546188, 632180714, 369072909, 162001296, 20760452, 564674219, 835753474, 10856907, 887290682, 43029118, 923480493, 860275255, 87039872, 776583885, 797943828, 720684466, 958498647, 984037133, 477909959, 321340543, 891179127, 220707342, 89717912, 383691709, 946552488, 69462298, 550589688, 799931487, 469893510, 268830432, 894299794, 305961871, 981052648, 572534218, 181346385, 105499890, 250194, 872667217, 956700602, 315409740, 802200404, 752690264, 121410575, 334993662, 196414735, 832492768, 10430822, 867400784, 356046982, 960588787, 359461879, 271850193, 979439225, 31497354, 866349260, 833557393, 658854508, 706833655, 708388751, 248058960, 142610128, 930394695, 799924094, 835865530, 229237829, 701905081, 412365567, 707752529, 357127092, 810034856, 846761987, 656934889, 783737450, 211880334, 569314146, 836198760, 741944298, 259229372, 840911744, 472239924, 788209950, 423830439, 489493141, 197526530, 115721397, 633897245, 768787423, 94659410, 281777707, 568557542, 719512776, 961443319, 971386178, 73647506, 47079709, 102893908, 384097448, 332681764, 36731856, 392588047, 764509957, 988628050, 690175947, 664984852, 985672183, 883168283, 531806955, 493968347, 877150840, 209032568, 271336061, 454810027, 475272578, 832406769, 62139852, 615806882, 212908758, 760462569, 288876513, 89154227, 730533561, 79779648, 603794215, 913442975, 44766524, 373544249, 531817658, 528441954, 486228888, 556657020, 269613074, 193296809, 764389271, 635160535, 190641955, 377186741, 108495269, 513151972, 589046392, 8602755, 50594510, 176129120, 873052628, 811199530, 647077247, 173554404, 53112316, 956513949, 478752432, 20470136, 125904903, 158014537, 716075221, 235589274, 482410508, 866212216, 790702026, 82815604, 77029717, 913465628, 222536605, 85054611, 306337598, 993575545, 977995019, 481851437, 920812533, 868626338, 782528655, 160180081, 18077935, 461059224, 560186127, 850018463, 424182941, 654163302, 222488716, 10256981, 847556410, 403050898, 508968671, 746240266, 333294953, 262243502, 118428282, 21564048, 15181469, 811054867, 992703648, 91839244, 147793301, 87850505, 500497479, 229523453, 870672814, 657004922, 217029909, 969353578, 116920950, 620054016, 842810726, 500984010, 677489002, 679168369, 41564173, 315250962, 868043614, 204039227, 565683346, 831533692, 806000751, 326332420, 391191059, 305020645, 941826191, 17186278, 824892410, 134307296, 788432171, 291957981, 878976367, 172348229, 213818755, 703021027, 303508303, 555336737, 358800521, 184889011, 830421811, 659712179, 306044163, 248837509, 457761546, 611085549, 267850848, 632506504, 296497750, 836215576, 189855820, 140032771, 146409046, 411628952, 749274722, 386590667, 459005739, 645936650, 401483197, 485950202, 516442988, 768244910, 961052450, 692361752, 793501724, 330883650, 143138272, 252531601, 512221284, 999049882, 315272965, 311766223, 417656279, 360721642, 714067250, 510577557, 10837148, 563844378, 347380557, 936695487, 696974712, 300025871, 81438137, 443964501, 510470680, 988913231, 404580211, 659377072, 694064696, 989397113, 662322212, 941588695, 89194804, 453469784, 920489560, 305552781, 741781491, 68173110, 362242289, 156518930, 316399963, 301533072, 126304930, 830853669, 961339731, 635118737, 675024543, 62491937, 799161690, 729766092, 560468978, 798423685, 702084912, 507047615, 951047110, 106712354, 426041823, 626350523, 582533119, 898470229, 752921218, 945176809, 629906760, 398341733, 456065360, 903773315, 987252827, 915091595, 263008477, 355972536, 977503906, 982438077, 74890398, 491482432, 42528573, 727628212, 514691220, 258058808, 540751102, 180193999, 889888881, 570583758, 418461411, 724001852, 559951606, 764716344, 998592253, 675745745, 441215420, 98157543, 896273590, 973382377, 778867677, 945485768, 582834337, 67171212, 331328640, 944809020, 482413825, 214790203, 514397300, 159079388, 830102444, 589394925, 124173729, 775617282, 970606297, 132275341, 991229881, 62712924, 107616951, 681252251, 904448150, 428671037, 651794328, 189459514, 605123256, 445978191, 22441708, 176819952, 413159888, 134087111, 855664427, 695622054, 330995284, 285858328, 686630429, 594779598, 622233660, 611350147, 718272547, 114704604, 927518455, 857911838, 603121300, 404478076, 625916027, 462289930, 997011482, 741125465, 730947637, 169307885, 655708396, 711616632, 735386893, 658579149, 569288636, 477798521, 681322620, 5804326, 995985714, 393474749, 853792403, 603601887, 78699766, 852329616, 24118142, 423357650, 385227354, 858799805, 690901980, 607122000, 149343097, 411395371, 394632816, 340423309, 733513440, 544661042, 87555993, 329665262, 59354086, 922980016, 557638742, 914737796, 620348434, 896429734, 547228135, 834738687, 660734821, 137167733, 830240000, 511622912, 807254286, 970536620, 641764585, 794529024, 192210347, 121389060, 497099197, 99361069, 227586650, 610153541, 866567829, 443762790, 95507701, 506147194, 654789716, 991266106, 571491373, 872338392, 768088112, 874278444, 971201339, 718587376, 348082345, 566757563, 443335132, 776132422, 778122976, 985347431, 190390745, 38541135, 674262698, 785024726, 27716429, 803143706, 433979900, 64636589, 238339954, 53235219, 210466020, 158379120, 875308463, 367740048, 372293868, 753720663, 399499405, 667224273, 971410951, 342962787, 933527037, 476132832, 125948861, 536317697, 48137010, 466080253, 197824550, 245035368, 341261197, 543233450, 55811546, 726681132, 964224160, 201779490, 893369030, 541353218, 725169368, 541133225, 159165321, 133885138, 698453426, 629988985, 551982076, 517004587, 254234687, 27790039, 383908732, 123069613, 131850383, 434176995, 531244357, 484850168, 498131765, 138598196, 113482497, 778416353, 94721209, 451190893, 159977821, 679427274, 995045116, 958321411, 434125642, 839961475, 478284216, 400450716, 246398862, 318671510, 642812879, 296582343, 950765967, 343118991, 91617403, 34576811, 923387482, 104329739, 39591161, 939073127, 63331887, 369188738, 20937291, 738295824, 257668192, 212518459, 215489932, 837601823, 67748386, 791453284, 486952502, 715655198, 228463830, 468638996, 872824691, 843251702, 538860972, 458216988, 920442338, 388365947, 10710475, 790052207, 22685895, 48412841, 35769442, 840260647, 169985529, 774933836, 423843688, 794733691, 618923052, 91571890, 878459848, 757822313, 322226255, 39230241, 511287672, 658309944, 548350442, 921103811, 520057964, 954295128, 169154439, 895254070, 137947369, 856039908, 610063352, 419194340, 191295383, 671742276, 890759003, 31053884, 540093289, 288155521, 446998247, 22620470, 351238993, 359958736, 690081398, 790214115, 305016075, 755215457, 12413933, 750311770, 939459555, 356723874, 810124083, 132591586, 698691709, 830210807, 598819465, 816740495, 298199236, 830979661, 581507527, 391735400, 127304331, 75969691, 425515929, 342000804, 837441500, 332714662, 487720495, 24021979, 271855128, 78172424, 797867928, 522686773, 899805025, 661130702, 104571001, 419588984, 402903791, 58225627, 945046951, 101827033, 76568176, 655312802, 339041752, 671884788, 937845125, 931238443, 78333452, 447946157, 53761225, 423078245, 739714513, 777798790, 750441296, 490786544, 250031627, 799261251, 695794988, 184906180, 500915905, 508933387, 680351870, 381061039, 439598959, 818993431, 74136503, 564349790, 296262842, 753937425, 690659817, 323597246, 796627366, 916447180, 528099324, 241346275, 492671062, 776968066, 599434574, 561767688, 959305266, 820244174, 896178473, 186492272, 434097897, 610770889, 282407166, 56902412, 118539099, 978003618, 659781461, 814234193, 711073211, 61894401, 846772277, 712450100, 485559319, 78523152, 420006520, 326529767, 374181464, 276626240, 681159684, 666046977, 849747130, 616598512, 333301045, 308968164, 37964435, 232947768, 221194741, 546430939, 954285163, 858869600, 686407358, 84622181, 344901455, 713907413, 389337144, 170607235, 621009310, 276654532, 175147120, 967940140, 249695378, 664559704, 736332312, 595607931, 697693134, 139094083, 307850955, 514541928, 383319958, 512110189, 258201574, 180723426, 91283469, 776554823, 184461148, 152517742, 980754664, 814319114, 662960156, 135636750, 253349385, 914580536, 724260895, 847118082, 893455798, 272683104, 795679817, 77221982, 442434877, 904692654, 632170992, 390703469, 204548856, 114993422, 691713169, 970452573, 873381791, 731143822, 922390374, 266599055, 838091957, 411062003, 604946661, 395202229, 236354630, 387045968, 780577325, 895974026, 987945395, 836125888, 391008272, 844164664, 195174595, 393744887, 136945234, 54058178, 685479689, 635656129, 588076011, 252630357, 680260544, 942668653, 576110681, 777784089, 400781048, 245151032, 599232983, 84605484, 376887935, 121879419, 548715822, 345814081, 945644841, 485115293, 733881951, 752498760, 123389173, 232798848, 606373153, 113144452, 825117190, 567523029, 828576190, 813279580, 647146307, 739524209, 757189893, 397229670, 977069384, 950657485, 351320591, 130511889, 969949796, 738285013, 942037191, 875674110, 990920465, 178910903, 150396007, 746898792, 356619246, 604170936, 742016544, 659500443, 358723473, 918281950, 896686420, 486006974, 293226973, 885358870, 103912401, 678932909, 770540150, 752128377, 675427074, 218740804, 204676430, 878227929, 995476366, 365592894, 199139734, 457604265, 76667367, 819385630, 636752133, 878506038, 737924420, 505560433, 116616396, 886626226, 313100396, 738912311, 184483883, 468340890, 175883540, 794292570, 121003624, 245504150, 409232597, 40486441, 840794260, 692448813, 511791252, 37874766, 514797059, 98359065, 636704286, 245313215, 908413906, 72225890, 198323405, 39130633, 452962301, 884138289, 249682604, 159919409, 216258396, 910688073, 469365220, 165186311, 788377882, 104248960, 474582802, 533077530, 349328721, 857262789, 364013446, 524293651, 812231331, 524801617, 136305717, 17262271, 833773371, 721741197, 796148446, 602845184, 536649611, 291707711, 930904869, 70381828, 470314283, 73741257, 105529821, 349537322, 41064579, 468986213, 13763716, 599047005, 76558911, 703427325, 975542232, 428966361, 65060644, 487485419, 843671971, 883628755, 638431181, 137595656, 767726132, 805244547, 626040445, 277370339, 565040317, 513850686, 261838657, 831264510, 96673899, 740814444, 632617390, 86038280, 835594485, 864228041, 213421548, 479094851, 291672568, 324190766, 322607217, 756529342, 840013612, 222968851, 954419095, 44175791, 777372623, 958988742, 160111145, 918780081, 509692894, 688206109, 899516405, 639400611, 659253409, 462586043, 728862471, 913486396, 909533112, 491905235, 530233669, 227911147, 698079473, 642851035, 78270570, 962022206, 596634037, 561163032, 260374947, 562540462, 985603099, 953968456, 847792980, 70625987, 791302155, 125568504, 301636553, 369625600, 10425614, 275779033, 762998874, 628768729, 930645909, 220475640, 306891181, 55253351, 973129249, 792543879, 439238002, 811524680, 507059579, 113022388, 725015106, 236371790, 772239300, 673758906, 251968381, 413749943, 409805687, 807267484, 460352962, 722778854, 223214669, 728823763, 615193826, 846639355, 946990330, 480619851, 81363707, 552242031, 107563147, 109057790, 993388625, 115610893, 624487351, 176474746, 815921015, 594808797, 114786312, 80144548, 951299457, 690934479, 958376920, 389759589, 999375660, 525894305, 723379227, 384112854, 415911529, 416451835, 136281654, 481276140, 733234650, 940359425, 862549002, 492155145, 590675586, 589368728, 748097317, 160851843, 732048379, 498063564, 964202493, 77999382, 854189027, 676813302, 562742030, 280188245, 888862876, 495100362, 261987036, 779813355, 264210001, 835294108, 197780764, 698252090, 817678929, 618917446, 564406902, 794777063, 385755569, 383039558, 273381028, 922152621, 268937618, 459910870, 238659074, 854781572, 327930904, 571238748, 103176967, 541115587, 508063707, 753635986, 540015383, 765165746, 505325940, 284579730, 305201001, 526308963, 297748097, 835265863, 637660592, 726792545, 491267142, 724531727, 479701701, 588358525, 504698732, 970020241, 772359792, 253570033, 37174916, 989968559, 678073022, 175782714, 348784243, 624914929, 813559065, 985301021, 489417008, 513227093, 46490565, 481289013, 731593200, 369824927, 858469495, 386360515, 384591650, 937733599, 279436260, 777763556, 925588680, 578157666, 926875682, 816877368, 830767316, 454967698, 699084137, 674783843, 54297999, 516129544, 836647065, 531295315, 546573346, 581317790, 853546781, 233455533, 604996028, 121109988, 721547583, 406080100, 706575243, 104596024, 907727441, 43392153, 300571075, 996728702, 852935969, 153658428, 6020672, 964941858, 25330383, 7866633, 344604267, 605213275, 178962401, 658212918, 271350544, 796897681, 429494524, 857864275, 974011975, 847872830, 775452450, 917225963, 109704557, 759506073, 831268874, 709883312, 38156034, 426348921, 869451254, 516442066, 76822665, 561177932, 864126808, 329882082, 271915229, 780381076, 771990193, 344153953, 850304097, 73052788, 15645850, 591022595, 703279888, 900736001, 126744175, 378365229, 604124390, 27487247, 874166292, 400173912, 511972980, 232217527, 495900806, 444196777, 759297535, 427204918, 444059020, 346903239, 3706344, 341040705, 539999428, 79185860, 71402853, 983851198, 600741494, 967706226, 129618235, 583187251, 843982144, 402034026, 736106487, 917181610, 661340524, 494527078, 233587837, 714831415, 723927379, 970173533, 88679741, 367899452, 40291140, 365954133, 121937660, 927210387, 531463348, 856873794, 535483815, 995502624, 820475571, 8993749, 620387526, 340660275, 456994156, 917527818, 574901170, 642880421, 114578242, 562881026, 501926433, 433018142, 655642449, 697780052, 664541924, 917355694, 299157800, 438645775, 958636280, 481877609, 700794867, 373887882, 730375075, 877371935, 936361566, 850279352, 524208145, 530669607, 757143840, 32109574, 521158400, 184831432, 899240264, 978932422, 189977470, 378080502, 447654, 522229206, 667148648, 901379921, 818699043, 521353419, 579170895, 305833511, 714568984, 656859123, 269665733, 566510367, 779431071, 320743651, 735483746, 775246984, 367781555, 843564786, 795043394, 285100527, 36246539, 207672564, 792862831, 337773666, 555698000, 341951371, 211106043, 971891172, 813144345, 786892549, 642215271, 56275173, 25338503, 729116423, 522676185, 795104372, 250174828, 858523887, 402032232, 649223526, 492611022, 476678411, 270291390, 15693461, 672482803, 414314904, 113593155, 16115990, 622735087, 798727072, 861355370, 490952186, 8413949, 398544633, 628323359, 512039870, 552574363, 550662316, 208591101, 36753241, 848315029, 585663894, 468917252, 264968041, 704560704, 444299723, 546141831, 335277318, 640659626, 752836734, 563139250, 469444984, 71087694, 684798095, 893464596, 576942019, 203924055, 820987409, 382415822, 679626818, 123985216, 88842557, 984175499, 414240522, 732967526, 774299612, 64232060, 406174935, 640098922, 240871602, 447066864, 702859506, 117374246, 627585030, 374732317, 963760316, 939466614, 544495906, 942340731, 613896666, 672115868, 293949932, 109168853, 228950000, 770564756, 507479639, 288009478, 368366821, 471066995, 742716230, 961648285, 739340962, 318705611, 51574483, 656497976, 703326415, 108218364, 194387320, 515963350, 448983811, 873569309, 646329706, 69593243, 920851821, 787677764, 913395298, 152130889, 821603723, 244041570, 121231151, 188478095, 868235379, 375543426, 592133057, 372714463, 400824957, 57714193, 751268044, 99332294, 639686713, 422560312, 290959192, 803486254, 120660798, 531198814, 468750334, 32314678, 998140098, 347475324, 96834955, 1355991, 606514038, 124294382, 709629342, 774777764, 939828501, 297803189, 929638475, 906243058, 282594119, 350183550, 444309239, 628139669, 135459612, 377382812, 961033459, 961147012, 218225179, 753858026, 47005387, 119268526, 84187319, 149147072, 889766736, 439108087, 840341551, 200212946, 836886434, 162179730, 260584946, 610323917, 508423210, 244615926, 357414516, 492326865, 161181687, 656183108, 288716694, 168351909, 770528902, 340418744, 117013911, 89074442, 807487104, 312441700, 186127758, 881409039, 289270704, 562759620, 157910656, 648771508, 217531951, 247706235, 510437717, 129763352, 950643033, 393563050, 337508032, 184660720, 875604818, 37905675, 210586726, 894292444, 350572261, 296073379, 688821974, 712063269, 10707447, 462546220, 772016108, 672672538, 804848961, 626378254, 56430630, 472284107, 580146152, 647229450, 256993129, 421621665, 671633012, 357073952, 964560756, 550883350, 444993969, 726248018, 427488178, 37555316, 147931183, 328863065, 855233192, 333584136, 259139624, 984720745, 541092362, 883128670, 176712093, 423342239, 771745231, 952348026, 582606195, 979451475, 670799243, 898649324, 848616293, 517365451, 58951977, 80909402, 192456033, 692871465, 310615392, 362082929, 768489982, 508684398, 151130194, 179103852, 984094223, 416665955, 3197287, 918505550, 470774392, 643055155, 961563237, 979616074, 183428144, 420670013, 996860754, 926047222, 77749779, 725228770, 163571365, 679153547, 541163985, 602977917, 398706665, 85734279, 480544008, 810751466, 45349027, 850717862, 278169551, 869270176, 51115166, 476095885, 382361110, 837251245, 957497082, 768993455, 184202269, 859950077, 509661320, 971405485, 236407553, 717640283, 853550856, 793401649, 632972843, 909682658, 862226290, 959357316, 204436647, 713995378, 536736742, 952991548, 680334804, 22851052, 19145618, 678117439, 307482116, 153205811, 766718687, 964924565, 461596038, 481898140, 807796086, 990743908, 309385038, 727862002, 690606822, 950315718, 939868946, 63072112, 373508041, 861087344, 283231653, 449783268, 826878613, 433561003, 745114644, 70792788, 941063268, 356245450, 597886681, 204204780, 577502657, 544004511, 739441349, 98430762, 109752920, 208720855, 751485650, 914816975, 202411389, 266740231, 889015861, 987968259, 793166087, 78291027, 436159791, 332827393, 945512881, 65873306, 215284504, 57062284, 926085448, 760926427, 826577551, 772216329, 505294290, 473704696, 473151561, 147413381, 73369974, 949287387, 373881244, 612176119, 555728566, 927731917, 891271868, 787874652, 811073755, 838624392, 827101728, 509631850, 783542116, 341999480, 331539832, 363976023, 11996466, 512118695, 754620592, 842433211, 723049155, 856901404, 467782503, 897382377, 871467267, 676835195, 779592808, 986030577, 950229067, 98856627, 39375374, 159381073, 804862932, 390091585, 313225029, 727030804, 237476435, 453155171, 54426713, 492816759, 297170383, 537963635, 352520704, 54148086, 219346969, 354260240, 231351122, 249185216, 698105901, 598186034, 882011708, 432936549, 51836104, 568586834, 126105841, 643224403, 840261875, 327780360, 758291799, 375032871, 597336859, 113493458, 566912634, 337555697, 527783271, 10041133, 265710726, 35698635, 610896758, 388514613, 981708100, 53607401, 459547942, 785979286, 623660961, 46231950, 126242943, 608356225, 763083892, 258566332, 608102914, 671356779, 1397073, 44191096, 142254083, 866826771, 374252863, 16311417, 245930015, 581904393, 35558652, 121691544, 299716204, 814414923, 187124662, 288638620, 768488458, 428907855, 620995281, 744470338, 922079879, 186815401, 452622815, 38418783, 790229019, 706586689, 774431088, 2069856, 989006064, 450477107, 851108427, 255326152, 694294806, 401630562, 463616380, 398575521, 703756461, 179716294, 505088941, 424974143, 981095788, 740110498, 524447931, 102550570, 132739284, 658235109, 504478075, 95818748, 722157035, 106449379, 208006394, 242222035, 381660331, 652366567, 347344272, 761002608, 171867326, 690343006, 936520495, 477014191, 68009875, 93501928, 675051693, 268276315, 672046771, 916233613, 128932755, 467200544, 472422948, 564987816, 102387602, 227526395, 246452909, 151828591, 606312585, 307058761, 557411488, 370424569, 89032340, 506960839, 276131785, 848436679, 698668327, 961654345, 991721365, 132064428, 378328657, 683910826, 144557409, 618959648, 71813783, 399218924, 212678075, 886061735, 2865853, 766195974, 617495153, 697270645, 155607141, 228414512, 405718991, 104985402, 909071179, 719606221, 59130199, 759881300, 819173588, 93768081, 179763928, 604625699, 200324591, 602849796, 134118583, 810082477, 172906198, 217610567, 755400621, 833493826, 127980123, 658450854, 533645031, 811217479, 677904482, 222588886, 994369236, 843399486, 682037897, 578574720, 12013653, 204027465, 335097035, 315111732, 327393925, 680248885, 684764707, 835874158, 267406330, 900481942, 235399952, 622706490, 67379273, 963645507, 152676412, 198743202, 788596366, 406237611, 398350904, 949576582, 339671528, 598893206, 354394093, 264843762, 495498317, 527089257, 350701406, 406388206, 927787491, 560024453, 351971093, 828163658, 431925229, 619757138, 478880167, 984592905, 349558988, 829534587, 528434776, 892058663, 713357141, 9248783, 664665037, 276164259, 169251560, 348585926, 593578992, 903340803, 795678795, 221497027, 502817542, 35618342, 400979603, 731499642, 979800271, 407196332, 564669933, 558074686, 395019049, 721535665, 282429539, 488573943, 933250501, 330225075, 253714937, 220211138, 786525006, 549734019, 436704871, 870829055, 427930525, 16053851, 381249136, 643992099, 718942760, 989322368, 811637293, 415185126, 610698231, 888423265, 969287506, 438838916, 138366119, 541166038, 725740666, 377786643, 999629503, 928821251, 717858768, 724920075, 534206307, 403189912, 25814084, 163157447, 995852111, 456392162, 329619306, 146068402, 774622685, 701958401, 334776578, 103309811, 859077450, 714206041, 261603469, 928108725, 233161654, 721712205, 418691156, 337794258, 33350305, 32783709, 478671630, 703418069, 483633424, 208876915, 8253054, 69344720, 267629391, 233035771, 900936142, 401854283, 898207822, 938679267, 171548771, 520574583, 680414306, 661398315, 671060407, 540265907, 375392893, 949280303, 170503459, 973796604, 394443654, 723412337, 621965119, 445066719, 739992977, 615769781, 628803367, 103976854, 732059094, 53872183, 653308759, 870478476, 759168560, 488233659, 695874565, 214916468, 412998035, 54685521, 767262040, 985575391, 828526876, 644118554, 332975218, 595312810, 186973604, 723321804, 428754024, 685089186, 564145918, 683210362, 499556515, 985674106, 478200070, 810247136, 743043645, 222372063, 577944618, 204891389, 984715786, 181978068, 107580593, 85864710, 898820447, 43260270, 670238221, 523819029, 935258583, 203004434, 209822519, 569184245, 124547344, 512467178, 612585270, 20558147, 787665538, 791659683, 556592210, 175416882, 726236651, 141701563, 93505999, 147888385, 667890873, 583212894, 190991870, 479980260, 22535723, 391387840, 787298780, 93058124, 936101750, 72668451, 785386012, 863717228, 253671867, 897394463, 659190734, 443333954, 990431285, 551591929, 403586515, 928965751, 589375983, 856589090, 157775197, 133642436, 25570232, 84428508, 950526822, 96988529, 328323095, 185367719, 706542042, 899842850, 636769822, 595295984, 940233645, 912091359, 781780697, 548878355, 320442790, 903909822, 744817791, 82712857, 311292230, 528478722, 851195908, 88996398, 594975340, 128749510, 630439515, 968357652, 362584692, 67868513, 271687586, 982282774, 342213665, 293425061, 753340052, 781288379, 862326112, 32287425, 810465226, 416192521, 356568718, 331897101, 62073572, 871994250, 976281386, 875031394, 885045984, 891552481, 769781381, 234451312, 250316431, 180768713, 787968012, 594817040, 270355675, 818937229, 498224599, 548928140, 427747260, 455196161, 748358340, 989509379, 170256002, 430399540, 931039665, 424937285, 534925473, 182359323, 804800300, 556090902, 978574296, 307760437, 128743253, 19546286, 372591902, 56476460, 378807165, 418131012, 1975259, 74266083, 366893828, 806572141, 898914921, 435551793, 447745191, 637469510, 608667604, 859775638, 780048638, 840703647, 96076104, 805801425, 132911822, 488434004, 888419383, 281461303, 741352674, 86883512, 179436460, 46739856, 449486812, 295611204, 373376670, 304706096, 621317838, 246601956, 782971335, 449932427, 602735723, 311972605, 678783495, 700605458, 659477371, 834391526, 18601016, 586362587, 490901537, 344509051, 465330652, 822594525, 97787032, 518638460, 180567077, 492342946, 681502684, 643288678, 839995143, 176684776, 774700403, 717789181, 219892753, 13451939, 622769565, 214378849, 959834404, 629321624, 685871848, 270452748, 564631983, 197332506, 899040303, 936217383, 219078467, 799154720, 88904390, 287259286, 724011468, 623998029, 838375649, 588760377, 45305176, 552776349, 761997798, 55251434, 370982493, 898693169, 875922357, 63984151, 95311674, 158500231, 88260203, 679039867, 588203913, 280985864, 81170408, 972732838, 569329138, 842422945, 964144042, 363884329, 442476882, 368325060, 849410477, 537395044, 42361596, 595752614, 386799936, 861032400, 519226592, 903921042, 941903541, 135654896, 13797163, 840139671, 855123775, 74421517, 85370095, 768702473, 999196352, 632409162, 456928651, 436943563, 536125058, 546473689, 27950220, 930611099, 376511084, 47344533, 391484562, 767764361, 158027473, 97344415, 913776575, 540078356, 425024917, 268116720, 383946210, 537071657, 960942985, 507482066, 162694725, 424479755, 780117668, 304404971, 596834114, 236152774, 390399303, 886920705, 819108898, 952953584, 637321964, 81231003, 908684549, 654429049, 222808824, 277516384, 360020886, 835492480, 542845951, 603571519, 757607617, 407803519, 711632309, 57237206, 464905454, 895667046, 50129213, 442237421, 986386359, 130602164, 454051425, 773866938, 793084241, 803832603, 491968114, 866966614, 250499328, 794209961, 626075246, 101205818, 246357195, 662030951, 82010131, 241383109, 382198310, 259458039, 915082633, 48449379, 258497781, 70924140, 490670183, 567025680, 140902695, 214370801, 52701903, 785270407, 212566968, 903054791, 557618184, 322043053, 521113507, 393021503, 223842012, 828266814, 19073475, 986148657, 189896, 852137807, 237369761, 540867931, 493461115, 830710061, 371944433, 157096, 822696117, 926792831, 790552149, 149542742, 875475311, 263341162, 498567280, 865771817, 24426181, 298509079, 808869834, 60115568, 421693840, 443106293, 697913829, 681516370, 72028738, 936920298, 580795652, 145193033, 536126271, 340120488, 641962635, 273390515, 818178222, 510376730, 621271252, 178700516, 511604306, 767984464, 232563748, 79360784, 551516419, 660450387, 732246157, 323532631, 57972064, 881156697, 811348802, 41610134, 496502972, 622635559, 552281061, 734722058, 906618907, 281873751, 167399539, 775040853, 424515249, 825651876, 387902414, 390643739, 178000583, 988311404, 286655957, 907679819, 889296929, 433097819, 186677888, 395362472, 202990718, 450677767, 466487998, 37563874, 222743976, 700041750, 395380169, 226730616, 349241250, 548353668, 906907064, 874858547, 273183590, 797519621, 710421006, 110305504, 879227816, 505676552, 430588341, 479981994, 407018250, 37158322, 898679763, 942668050, 451810890, 511803525, 243131301, 972617195, 380871258, 149724080, 730113767, 223250783, 377018910, 271593149, 30632044, 18737223, 721131972, 190646947, 906341616, 256470953, 555225760, 69210624, 20546185, 705457561, 870946224, 695044231, 75740133, 293277839, 548073334, 610948149, 454581225, 313542709, 596797497, 655644050, 711059264, 595940252, 55838734, 39068253, 985403689, 926243481, 889556477, 131371845, 431477747, 441250707, 650754096, 233464077, 357225275, 115575861, 485408887, 963342752, 887874952, 43276035, 37390807, 542295634, 630093221, 404363740, 202309720, 127617483, 508871205, 449013208, 479992365, 804967991, 407398113, 299535925, 366254929, 453815648, 313676804, 728230043, 825584643, 716636324, 821827781, 945839036, 66685331, 893280498, 358831257, 402324804, 350438085, 426811002, 238818649, 25087526, 186407362, 931153878, 691307129, 288532815, 976321592, 62431988, 312790221, 794085718, 77162742, 877485907, 436135753, 62927067, 773204109, 271403128, 778502611, 635084361, 509625953, 817339061, 513811268, 429634492, 846645891, 852697777, 215171906, 724880841, 956919279, 911273573, 549131361, 152048388, 429869467, 396017593, 851184803, 74572545, 768051318, 213400658, 99603573, 105343804, 190686520, 392185027, 522664017, 694120303, 209527911, 56675523, 444316040, 421651776, 395963385, 217347075, 44466288, 357871492, 489889351, 802920669, 649770023, 753739643, 859978225, 963409793, 429888298, 929571323, 470971619, 77745345, 426748370, 465020468, 332979674, 928220097, 958216976, 140939215, 97953022, 964696223, 141742684, 186289647, 658221883, 743049830, 429540660, 190093878, 323126355, 966801305, 521050710, 114677373, 601526094, 389507121, 885475379, 723904403, 318678456, 451276075, 429671970, 822529231, 103978968, 726439384, 25641118, 340592854, 730764981, 799798571, 420460023, 625664709, 558214991, 15631605, 336516352, 861268312, 455274745, 209034241, 971331903, 774974557, 966352428, 216278807, 568372964, 4569074, 146293084, 870601162, 26488570, 631552141, 475812731, 539529561, 421429405, 4085915, 115785344, 434786155, 787127920, 531612351, 145761904, 635394026, 542695510, 685791596, 400409757, 95598981, 620987461, 109737118, 782904117, 778061290, 187891702, 898535816, 852828980, 951849420, 383518035, 218442078, 698118555, 936670962, 438514166, 66122021, 361703311, 901427499, 301374907, 36870310, 524381545, 613442444, 273133321, 797574704, 130399509, 678199395, 620938578, 244314952, 442263189, 233744104, 661134990, 567701746, 52987426, 76320970, 528256173, 712897589, 996996707, 616682992, 361454069, 827876724, 271154061, 545750337, 867888301, 839348783, 335601096, 335855314, 731990300, 866615154, 671714353, 643745593, 663922261, 952182175, 820776176, 152327301, 220619567, 986342041, 902617828, 433696951, 791976096, 306493266, 398684713, 224889980, 557181767, 154964988, 964249440, 894263612, 771386961, 947657092, 896633415, 624113664, 776666912, 417002763, 822867570, 149912584, 923107944, 666877107, 419257748, 343808078, 890427121, 346737030, 387331302, 547738850, 617546179, 960355266, 323726074, 973348960, 914470856, 866866224, 197156719, 797468348, 3267625, 989009795, 676956016, 834391531, 784750313, 880272968, 896889303, 830233481, 312381255, 457981414, 416013086, 195418406, 481022794, 207621588, 948305360, 471476670, 596569751, 474149764, 625188397, 81569052, 204058906, 102913203, 523005083, 99850534, 887007649, 477325732, 366729538, 840650275, 422894148, 465628435, 48262607, 174151921, 328389529, 166418086, 93467312, 516314761, 303535388, 949576958, 699467047, 997393033, 664969059, 86020279, 644127831, 703951918, 745376176, 878340881, 695942934, 649286400, 890759179, 981187135, 180114670, 790882294, 931942407, 830764316, 880340001, 915748914, 854165826, 317736121, 537023024, 130450130, 908434251, 7172493, 899790325, 68355339, 374052090, 144214997, 512034747, 103225200, 194124971, 846739948, 960116612, 296730949, 60842416, 678976229, 671845545, 992328304, 496572428, 647666162, 258418641, 121980297, 694237378, 886711412, 153525843, 393624156, 784457684, 597772341, 52022688, 205455739, 407642958, 93272043, 301441897, 598827738, 397026192, 316739104, 630368699, 971845475, 802873170, 803214281, 754923550, 486089789, 369609056, 243515302, 432530790, 613983396, 217378905, 39099621, 94389371, 201601503, 859581589, 931603699, 585622738, 319566610, 706698384, 375586861, 29074246, 169999605, 124052168, 913609096, 794849736, 975370580, 551421987, 188565714, 74367152, 672260689, 950520037, 37223827, 986290506, 944017242, 159120925, 575833797, 246064892, 611927969, 302489586, 602165802, 143054344, 831451768, 758933894, 300654811, 979087327, 952680909, 397757719, 858700629, 493934399, 920534327, 424986968, 240148414, 507099643, 899011212, 279066076, 386758501, 209072178, 848492765, 936128695, 905905592, 665233712, 236227807, 130783677, 417564679, 529737034, 99817490, 989140438, 666177881, 879230083, 144481928, 141912285, 8551477, 700193690, 925038285, 537242138, 845656106, 592789320, 931127923, 883376641, 729433588, 123955691, 174758427, 56284211, 413297504, 502743670, 257750454, 196336751, 718983617, 383687403, 543053546, 628346681, 405366919, 574412387, 76867974, 789684161, 746044209, 174898702, 458109634, 441597067, 515979202, 709610505, 876838107, 463503401, 354026459, 415382132, 401391014, 806111107, 871499976, 185174559, 747903655, 646489773, 271836832, 397704293, 339286886, 333876780, 577625159, 943969644, 53072141, 750308594, 148331955, 465046877, 978487670, 950872562, 696143409, 421299664, 375324150, 432374317, 461812277, 644974279, 466393054, 801217303, 845410388, 462231472, 454202013, 714955848, 824678581, 803244917, 455337797, 345140497, 554091497, 310096135, 300761894, 25443080, 348213179, 935681192, 133544100, 124198249, 85653258, 847374360, 908877894, 588409206, 210349801, 182566729, 835820478, 819771514, 85504066, 154143941, 475066395, 126233919, 631941065, 397379307, 620768664, 237985565, 673261203, 650481886, 518073721, 153623019, 669650529, 374961475, 762626756, 98399667, 702230290, 153946466, 357600788, 452992422, 931713352, 763111978, 616545532, 877104525, 183783920, 198757960, 358711595, 130841201, 836724041, 262024974, 708067862, 968660340, 683219404, 67575654, 811713870, 8862311, 86214801, 223527303, 35863281, 193031781, 496361694, 577168638, 906284547, 124255417, 878833948, 616170392, 494293918, 528274238, 883630817, 352875295, 245143320, 538580646, 83679469, 523327031, 620220447, 162115359, 377937527, 240999938, 965235727, 935522536, 167343746, 895926522, 659802315, 770217285, 305263702, 468810669, 468352939, 905911531, 687810712, 574413858, 895818500, 344889040, 628292587, 977919306, 758369766, 455651981, 270946665, 817481968, 746340844, 321224011, 938683223, 977328259, 134089138, 640686426, 576977307, 378625114, 610877673, 195115064, 842666858, 541614679, 333880272, 244739958, 486761093, 679384644, 779951154, 235817065, 457338609, 427817159, 25503136, 664534121, 449587881, 675572262, 600210017, 12332011, 143235386, 56408211, 360272817, 455860456, 316503537, 532725032, 788569264, 981670581, 275310502, 715084069, 405855563, 629409485, 303657626, 604173340, 590435879, 166406610, 247083914, 311401810, 880589270, 120877495, 245743357, 268189366, 642956415, 34837734, 480352137, 302177736, 165045449, 922836688, 378566734, 760144548, 500231788, 451846440, 877809350, 914949319, 859416058, 151251459, 723247753, 69710364, 393962480, 275259098, 777318661, 606217229, 985555004, 62271450, 301500625, 388571345, 696523335, 20691345, 931201204, 521135709, 717376752, 590117762, 261667524, 492841088, 8206807, 98336501, 94692887, 455607120, 103271578, 492074748, 631915211, 844546782, 104884390, 168717512, 480939094, 978160398, 551677547, 520839364, 474977305, 735735412, 481225596, 361305453, 853673880, 184266164, 347198214, 194367044, 382632056, 998120094, 889539941, 89896848, 940871449, 642714453, 909002408, 971916430, 639295512, 124506374, 333949290, 656112456, 653231751, 838159632, 998186450, 952464663, 18170408, 51701563, 480872433, 713256671, 131472933, 435159083, 177524615, 255932662, 277319763, 358317304, 117590125, 382915062, 131036743, 323978274, 895745338, 833222874, 198382548, 818592512, 901728822, 355827384, 687656790, 411612913, 121155545, 236366847, 931634936, 132112060, 681141110, 242877421, 516094046, 491728967, 971842229, 787666781, 535880120, 763377167, 249254839, 969925391, 912922667, 720910551, 162657613, 666194006, 164180464, 693840185, 757338061, 895773073, 763336921, 988522379, 258295858, 833027114, 6403203, 605758479, 63573951, 771396359, 347111244, 824674386, 523653114, 546034112, 333953339, 708426511, 266891200, 630581970, 548103865, 909326326, 322663623, 653352504, 247816487, 934606289, 127627474, 112549027, 692600215, 166003825, 394871285, 999491229, 606963133, 337694030, 807310763, 860955343, 334518454, 605680958, 837331049, 306688006, 632545144, 30475479, 196093323, 777731741, 655209821, 506947041, 481020167, 854261200, 683864432, 303043470, 149597052, 567436446, 464378690, 774980032, 65716692, 269458797, 230794664, 25088439, 762867218, 536896527, 635404668, 122170865, 577709862, 917340976, 442551885, 448486142, 394597748, 202681413, 123792473, 407394101, 63954609, 363602778, 291454403, 800593900, 616245226, 80808730, 197986289, 88438162, 212358022, 676821469, 874576822, 844659928, 293432961, 228493470, 876943534, 831131595, 119546784, 587528815, 897412555, 669594425, 735303586, 454576372, 229844988, 399186351, 591257481, 3635458, 202260702, 602430835, 672797228, 972090572, 535196849, 627665501, 888190613, 320877873, 957325960, 768455100, 77583922, 57078780, 646648646, 156558123, 49710376, 812183747, 26376823, 950379041, 111340245, 774812180, 910350180, 172575394, 158892348, 535189598, 582872526, 419269502, 214555432, 328741641, 244941109, 542792685, 859890817, 331743555, 883957277, 656642733, 706309251, 760955856, 875406863, 992953360, 615774604, 159053692, 615180401, 86584893, 911159292, 315755788, 351819632, 102327562, 136458115, 408286650, 252789920, 423789731, 352509379, 769324300, 608829335, 389000939, 737073095, 938672679, 124025588, 512860975, 28619717, 251181966, 816406882, 506801475, 497780356, 115450205, 92141442, 447302057, 958341375, 147412508, 866595554, 19238659, 858724790, 432361759, 862943535, 62388817, 957918199, 862043617, 645823553, 860316607, 415853229, 138566999, 394895850, 795757439, 860962168, 676836652, 244785627, 701839426, 679823751, 923030299, 565354358, 740944252, 732580696, 554455007, 270126718, 139193759, 314492018, 839306545, 131882802, 119622971, 162994388, 662487349, 815589397, 392141096, 99367577, 6863519, 819442323, 986545811, 670556883, 280000122, 364510580, 732892077, 530807088, 37220044, 742870454, 727718438, 799255158, 855561094, 323372319, 452403154, 781841979, 861721310, 599738336, 140374579, 281626469, 960822539, 160336447, 93379420, 62102201, 819601216, 523626718, 295912375, 361046143, 59498997, 67138898, 369187726, 530694281, 47590362, 334616449, 844134905, 880141965, 340138943, 132046757, 816681821, 576717677, 172834626, 539574546, 548857878, 667149265, 112274813, 654174721, 140155485, 418802485, 30269822, 183492361, 71611519, 747320948, 690781933, 25046233, 402285177, 237346569, 380007724, 382996502, 87271021, 366615862, 232004847, 767572741, 806410431, 415592365, 364284482, 610179989, 677530099, 858700220, 139499154, 426044378, 886793242, 410999684, 379013686, 92501427, 628544541, 560913372, 812633423, 411717004, 61034440, 550023485, 87208890, 986187310, 667583945, 32887041, 951218692, 701091218, 170989837, 230056055, 11945872, 263037157, 163894622, 64400091, 716450329, 147355439, 172133386, 375783064, 325367355, 148149083, 566110201, 359217946, 495948764, 50846998, 490436049, 177481086, 41221509, 91259239, 388445297, 875446973, 616948565, 404441215, 500089600, 707047661, 500100541, 739400761, 506789718, 68124844, 701676847, 974537636, 71308628, 588959908, 622535497, 844660758, 173386876, 982818324, 861052538, 691757538, 859138998, 238777665, 339128579, 340194003, 846046097, 941663918, 829904307, 792663177, 281156043, 38022908, 548353773, 322782951, 469301841, 1868017, 240604061, 968125871, 831728464, 682270179, 777824579, 759561213, 949151979, 584290495, 661040715, 481769970, 827666004, 293839865, 44270795, 715915491, 980810928, 208176105, 743565001, 499807929, 721979270, 262845130, 87086722, 228776687, 110003514, 347758729, 251473841, 630352369, 61023499, 846111161, 266703498, 877153035, 955436647, 603176123, 808799003, 489626185, 880333910, 493141409, 426364417, 429618644, 728298515, 654795564, 305693260, 197052847, 915897489, 991252892, 445438275, 575465255, 965958985, 298782500, 291305069, 601594039, 542155896, 510810483, 557994645, 164188386, 63307973, 305812083, 470060441, 821526849, 992665935, 573804767, 411431772, 583529116, 648323161, 709580889, 572790702, 127004784, 235270674, 195696201, 913495328, 798862487, 133626985, 992646813, 71236054, 303295183, 417084418, 812907536, 725614822, 219874180, 601252008, 988328213, 649769809, 241513713, 519619499, 722826587, 504741107, 272943773, 480843246, 377377407, 572152038, 74246285, 566826206, 641333999, 476080636, 724830179, 830267324, 188510376, 388135272, 33675684, 6805221, 372208585, 826318532, 953410185, 715467996, 229670335, 897011920, 533523057, 861728575, 671135258, 288010080, 529004866, 435605620, 176206570, 899805749, 898061098, 540539632, 643133450, 452819121, 956553113, 906563866, 762469316, 894940359, 928127539, 960090293, 72891308, 317170354, 671989700, 413607935, 30561838, 910377257, 680233539, 670383504, 867061631, 433498516, 132144601, 800027174, 917931929, 517486945, 533692281, 121710005, 888745005, 855313892, 321711999, 191329372, 753097384, 668330269, 569240503, 284410320, 222047787, 105297614, 924738276, 466596987, 729781257, 911254799, 589625186, 891583740, 957090586, 616365552, 465840479, 65769771, 155323903, 844412463, 145439305, 318599493, 299092913, 596701607, 595440667, 211557055, 131925545, 852370497, 511247209, 976999240, 993825405, 502493297, 307821281, 894547366, 936024736, 40347232, 968438875, 224069518, 450433756, 798170970, 705995740, 795027569, 944369414, 260638421, 658679499, 981220190, 652340394, 701757498, 652876821, 376756194, 422185324, 213350036, 139503993, 623050408, 951689315, 195132408, 637593238, 132946891, 843192205, 256549951, 665663327, 880693471, 779492030, 22597984, 451409639, 853635317, 856430828, 166721174, 742914789, 576404518, 39397410, 462820744, 922178288, 708595921, 749185389, 648117715, 803634820, 85677732, 129519971, 822441511, 143613092, 107000764, 552824102, 722677742, 426995267, 142222971, 897431130, 448246337, 216532336, 746068825, 480339528, 28824685, 529587725, 70042980, 140893597, 473492639, 208576540, 627836549, 272655760, 993866097, 329196533, 340061684, 845084727, 183073494, 74322949, 576056931, 477373849, 315945708, 132203296, 1988593, 316791540, 24727042, 241100089, 59770117, 581686126, 377583931, 403487698, 302920385, 11196269, 804951842, 436319362, 806761309, 654836227, 834621231, 827845481, 317356352, 829062099, 160582745, 509806947, 335974201, 939554395, 279869100, 530891580, 179170526, 86062501, 261435641, 72473543, 227360039, 119096548, 234199550, 881027465, 154514328, 668235364, 848355101, 594276087, 848620389, 388129540, 304086043, 972587408, 824851270, 398883587, 121063308, 419523984, 122068416, 28495849, 391126811, 492579149, 334193456, 806005413, 277822329, 465256010, 16619499, 240333162, 647012846, 356000203, 988542129, 923002354, 702124075, 703461577, 226801569, 647247437, 372914616, 405823446, 439681526, 89178200, 599619453, 558778393, 940976267, 892627605, 361208398, 7486588, 811847798, 823723351, 107410531, 373544949, 564602348, 894435475, 422855397, 894296711, 193106563, 681431761, 312704412, 263008006, 811472676, 821346747, 759358423, 582184145, 80172253, 359757433, 843449966, 711935626, 438869852, 321102563, 704738076, 681898942, 941673654, 139113920, 761850660, 307662071, 597154566, 185620719, 779949426, 857020722, 660373529, 239667906, 332962794, 263561138, 164341798, 975619968, 842355894, 413484624, 79888577, 942247986, 962596891, 377731314, 462245359, 710821169, 759356426, 357992308, 721216663, 639630982, 531981641, 695916905, 464600767, 85265588, 304337794, 755584584, 182537415, 505017514, 757670149, 500927795, 191428826, 195139108, 50151371, 788719937, 561542082, 713007529, 425744272, 58039201, 238380675, 818650657, 764658622, 430051988, 108009748, 262738720, 940328552, 447227115, 628889130, 974455437, 412512029, 607414731, 747061952, 530595242, 641304692, 918300061, 479853846, 967147885, 146015429, 326353886, 42356452, 923582377, 185084397, 835944168, 627119031, 138615994, 486644713, 834485263, 871280457, 576670443, 112943167, 794206983, 558886950, 951952993, 92946971, 447951969, 630630272, 614396050, 650400148, 927415739, 389391219, 687707293, 924650327, 546755737, 377122392, 543623301, 518970615, 506014870, 969106752, 360428600, 333811234, 166971155, 891171388, 608546288, 148504328, 515718407, 136068624, 652090808, 532611126, 159051587, 639183609, 738241278, 697507722, 719299294, 396866933, 680856395, 496860452, 155970988, 601615384, 661454668, 229704258, 271000593, 314535908, 524845863, 44998905, 119189605, 444949863, 985251979, 680108622, 84230405, 810902569, 255933787, 200476009, 752288961, 695059403, 67978655, 30242110, 353789875, 508940545, 91309485, 605042824, 923577415, 596418244, 750521312, 389374489, 744553191, 609242549, 607743233, 191137580, 135833343, 13073271, 527146897, 791157349, 433699238, 200802090, 851865797, 924696749, 257191611, 842823614, 319225941, 709065594, 739205069, 483496856, 102670928, 502136087, 98705484, 532060658, 824752949, 978339321, 433124485, 97424338, 687866179, 98276026, 180513309, 274214252, 195189279, 244795967, 575786981, 1577268, 636285498, 318958583, 18736864, 356866219, 46298457, 242327033, 339481388, 97079284, 884903772, 546106518, 71980937, 517496092, 553206025, 353811494, 122834016, 415750004, 627559746, 748516255, 879481292, 37440133, 651582880, 992754685, 311713790, 744416198, 48292844, 761306491, 111762821, 189455534, 945249289, 65999483, 996053008, 777456557, 201762235, 365249220, 636373872, 681989472, 141608111, 78327039, 348854450, 164296494, 904275247, 520526858, 300742977, 431784206, 51588997, 59775797, 256135133, 834083987, 846045291, 55456038, 767325529, 708124280, 674919805, 136609383, 849255299, 920565049, 303452642, 317846268, 407118907, 103250462, 911646403, 136313190, 848897264, 267437167, 419574113, 211590680, 882769870, 253142275, 144919612, 253536666, 494175242, 343271565, 292164935, 479649210, 33864692, 393580285, 558034976, 260536714, 491666068, 153801954, 750502764, 556702038, 66932332, 498864989, 852621867, 539087913, 367153628, 45343652, 408286103, 74684167, 942080072, 496383611, 534716398, 414669393, 759093035, 200250748, 1550302, 979084743, 987087896, 335884304, 714448099, 860263707, 981010905, 167012941, 847787624, 633272925, 909963810, 713756179, 308020512, 815818532, 349724152, 5033611, 115184463, 546931713, 256563669, 111667287, 268995115, 303164771, 668426057, 328231656, 768988437, 137766465, 737080294, 16815702, 354202559, 341250368, 119578306, 43256918, 402522162, 631740459, 589773807, 773753314, 469742304, 505547235, 19124297, 650496595, 948699960, 248833532, 405521419, 888068116, 516494479, 132446111, 106932482, 945134520, 204314297, 98839245, 157741809, 311733833, 21042016, 582460549, 821235526, 88109167, 15840914, 456270867, 37777556, 963242650, 199511556, 687556787, 409832711, 979966162, 63427975, 161781285, 558357123, 352838560, 933706420, 319792054, 368055059, 895302354, 323947737, 353262610, 754654344, 898544547, 97254215, 581986472, 324636936, 215149827, 856172685, 199477821, 777835276, 212763359, 398498026, 493405779, 22086502, 248835005, 539429380, 111394479, 156546990, 798000022, 146971903, 11390249, 87054109, 778070922, 190157018, 51136291, 525601755, 652047249, 204625207, 955159361, 153410514, 77754178, 578045378, 90419937, 354592215, 724995567, 83197751, 768115793, 577831645, 24737215, 510265454, 764545007, 480266985, 222822371, 714149155, 798193307, 134503919, 193074903, 482123874, 16457049, 878364758, 994804865, 332738510, 316025805, 718749653, 245192692, 289169038, 534226813, 927527514, 788927813, 230746642, 628745875, 614092811, 203107889, 156825165, 381472907, 692772781, 714488608, 597073130, 987152426, 719930677, 802541267, 358738013, 164864849, 192148772, 131605610, 192749041, 250401277, 397271465, 423642600, 655619736, 848257999, 901451388, 65436397, 206105301, 958575920, 571538926, 24701775, 17962576, 509692501, 805112341, 568841302, 290132699, 671548356, 982872667, 45056966, 541020424, 274232922, 515732512, 982938806, 199797073, 704973236, 808514528, 968614006, 594080042, 648200428, 589255760, 920472535, 434896204, 4304874, 443912623, 31922821, 777777789, 827839349, 541052020, 360128270, 944044001, 967147216, 688928370, 794148966, 786070749, 478236244, 849456718, 291245794, 58217521, 75487451, 832621046, 304283844, 329927521, 213330079, 831140089, 991403027, 776860196, 742073915, 628803896, 452212807, 658804914, 436592135, 243224242, 414666725, 119478253, 131797461, 314129827, 45008622, 173116790, 321146173, 329929055, 437919231, 3646200, 999616106, 10781786, 584079677, 226459115, 741601457, 936953151, 953406278, 970595727, 419259228, 207446373, 279473056, 50821601, 129113294, 835513465, 997420875, 685289325, 319876517, 178742371, 572029261, 254851662, 473230960, 880422133, 252851152, 402476488, 610765521, 333560271, 558194300, 968554450, 655058466, 544077036, 863273645, 318705546, 440957446, 981128530, 709482383, 24463754, 521742059, 449395023, 915189408, 846764899, 788389432, 255266077, 824709844, 349911943, 29945912, 841456407, 763847605, 331832469, 8398434, 680818809, 710586193, 903194242, 81760546, 187329992, 19784040, 920652537, 308388270, 792059234, 469435596, 861449726, 770793487, 192577058, 457643168, 82360719, 135399871, 609457327, 1752737, 430928874, 310793350, 467162861, 192483992, 279685945, 752592560, 900600202, 484670056, 588701991, 738742570, 777389449, 563168630, 113708200, 383759595, 911848849, 335714400, 28267264, 730787981, 834781496, 842945479, 479244125, 659655039, 578894822, 193832490, 781388051, 393705446, 832619959, 376903937, 231980942, 502732709, 690908120, 207462847, 724076646, 524329743, 585109301, 57681674, 484064030, 415016276, 54505502, 144403467, 107920929, 360340461, 655587202, 461581159, 491641330, 766232967, 676716847, 633901904, 369473028, 755974217, 974466582, 484402024, 296044179, 700708664, 466365136, 987194237, 612915937, 116435910, 500661858, 627553617, 354523773, 503041941, 858219083, 200516963, 386026422, 124671132, 334611823, 451325605, 626313165, 243249951, 299335144, 704926394, 759626079, 86036522, 66664252, 161638289, 415474954, 927435131, 355785912, 576969037, 971669753, 174155856, 901858172, 976888269, 207367867, 600771198, 722248571, 93353650, 151314442, 414568150, 420565646, 178600338, 594698451, 728188325, 283961875, 780401341, 511250669, 541197084, 638837311, 513456433, 18577091, 344624800, 399201053, 521104846, 802652480, 266239342, 683824967, 640547356, 594150260, 870869426, 988681916, 268630517, 604490397, 378551991, 434675155, 920147380, 134608800, 862249909, 779632688, 90778386, 769508527, 742854726, 143390675, 57396524, 763244977, 747628520, 764002325, 887758855, 162085215, 923212761, 114239926, 230890772, 423909687, 649194657, 765870954, 212275025, 392112741, 92423765, 277052286, 752494153, 764595499, 343743126, 210923371, 820807604, 737734329, 411485797, 719096496, 995109706, 796190578, 108561363, 496746234, 834046321, 47425955, 451452167, 303983848, 933742837, 899921688, 694520631, 21122058, 890020507, 49823675, 109810756, 110944151, 496958229, 804392161, 631096307, 280413982, 580332092, 401727422, 822802848, 588154227, 977931296, 377144113, 335497071, 898885096, 484506554, 705804241, 207203296, 45869977, 651527074, 942638861, 338672249, 807275741, 459282255, 636951664, 324176288, 400125759, 653665868, 174103992, 996141561, 189149341, 58115081, 514895786, 692391307, 220652756, 118758545, 431737501, 736225798, 318716430, 167999269, 486463414, 930832008, 580472087, 859782625, 258894038, 646078961, 771131169, 112418058, 820860466, 98087706, 524500928, 563842016, 176996341, 676586883, 937386578, 704181139, 250761532, 874872121, 84479636, 452439385, 683225741, 71844415, 522592444, 215217177, 600487601, 506406133, 188192311, 202080610, 670969061, 405582990, 515638372, 227150808, 583002316, 100446865, 837574866, 370835474, 457849426, 757920592, 989922665, 289967708, 255324014, 123046160, 109948120, 843478379, 623943657, 931291732, 333342881, 528899844, 808983261, 406022715, 878206066, 50640690, 275428052, 539540546, 648907500, 681332297, 276405651, 576874225, 968626564, 950580175, 738538059, 195275628, 594606501, 595903491, 997375122, 957970945, 351079492, 481830021, 288666747, 645865143, 902007277, 202003745, 906982912, 821346419, 161913173, 249643097, 802307, 442535491, 876948542, 11368638, 251923406, 234564178, 247386464, 291096139, 820441192, 492632070, 515493460, 742543168, 273981926, 65783362, 295065328, 128392291, 702991167, 630540445, 486428493, 365400465, 50694642, 975155054, 802446544, 682258533, 914645128, 934338432, 639876503, 633266644, 499698974, 410855143, 451384478, 513962155, 688163376, 330117475, 816112741, 817328564, 269570531, 936039999, 580167299, 979167584, 449477199, 288133256, 430495857, 248378103, 154139308, 742054773, 965639655, 691763570, 457079261, 760613539, 526869229, 886546044, 102176759, 802602768, 910674082, 745201095, 590299345, 807090953, 674071738, 977600702, 369858403, 886903746, 180277721, 137447412, 48231698, 865071282, 87986513, 305950335, 298679079, 362082477, 105306931, 141251133, 262506976, 227715541, 9233687, 690570587, 865468096, 26332373, 464041304, 115266067, 640312839, 901504018, 400250031, 741498923, 664829986, 53110056, 640448114, 961826468, 842065975, 152778500, 151130227, 465718966, 824691780, 613082040, 690702683, 625059759, 3153555, 421095110, 238175138, 99674246, 243659028, 202598282, 822169783, 824535872, 412360563, 529148755, 485129469, 809608557, 843150241, 330867270, 673583455, 7520683, 589538619, 276653122, 503117922, 217912531, 931369631, 39501957, 467044641, 759232885, 632780278, 200785511, 249426731, 206566917, 133104128, 712230975, 936356675, 360663247, 210606916, 410434668, 528798370, 650001544, 319747674, 980070720, 168891630, 609032442, 103614938, 356749046, 885562068, 661674055, 133306546, 766824182, 962619998, 855643951, 525049061, 96338557, 498116240, 230359116, 148571596, 859161869, 918024410, 46429460, 887106154, 930154232, 39102759, 623397038, 961756214, 238264502, 154584908, 881758400, 793750541, 543888522, 479266067, 560453807, 178958019, 211204906, 628088234, 791009617, 302224087, 628237856, 967531329, 242045563, 58773004, 579116240, 521989584, 635396328, 963558492, 178926362, 462232090, 177794976, 512545607, 551398491, 820275990, 960386524, 143402705, 553028203, 598012734, 352741380, 449430293, 332223037, 788354416, 421201794, 883173821, 180609100, 541752282, 362523525, 70887403, 495674867, 878133259, 213094863, 384735465, 230719289, 91371944, 259692044, 965136237, 626937066, 105577493, 164483923, 939332245, 297863375, 746178940, 513900075, 506939528, 319378455, 228685413, 126760135, 409150513, 183866682, 110724344, 4464528, 626555379, 947944230, 791539410, 964267784, 396791558, 998758162, 768418885, 368599415, 897246651, 49168485, 364460862, 418198122, 865588825, 966395405, 616117672, 277026233, 384976735, 256165830, 822770663, 872225043, 655369134, 867164436, 281505351, 793059163, 598453204, 331899461, 99447372, 916684939, 10115978, 354402636, 524833285, 456981676, 216936, 633970386, 190643328, 268624703, 467320757, 404553457, 948007396, 742221146, 610195120, 364728249, 539083438, 960339597, 327957468, 731321707, 957539585, 93463143, 359958971, 833221526, 467527444, 649466433, 583310080, 685521438, 608921569, 551755268, 156276483, 620554269, 60286114, 105447483, 56288202, 494293604, 18482813, 316804290, 592190736, 943794166, 306579605, 713787468, 968303931, 8848973, 12996002, 178202364, 519541108, 358638379, 501739965, 548985079, 918011409, 568585680, 691899278, 762941907, 171175549, 89746373, 233210965, 10419835, 937302150, 634444967, 41245968, 558049249, 689685664, 841885138, 266742919, 166218952, 473483252, 868246228, 647678332, 914252977, 360658938, 585705565, 445367541, 489897541, 358156429, 189202323, 963941103, 703488722, 486443698, 793096444, 622169287, 431522462, 724226447, 529932431, 417677105, 775586110, 648971993, 84886554, 687882736, 143703384, 840350955, 10564955, 587140305, 919400478, 969746000, 28602753, 154527604, 595499512, 120266279, 808593953, 739675851, 522321155, 621111997, 511728552, 215987071, 250433540, 289169876, 197424996, 229937375, 275123839, 613206902, 449685670, 839250151, 516325077, 695900273, 9927709, 128014309, 399562974, 500525207, 657530197, 80971902, 517770948, 172868744, 92292288, 943480383, 146177280, 209410685, 931810237, 172300983, 453712199, 418219615, 753294636, 858099302, 446906020, 50315625, 348729961, 486819153, 528031568, 877824924, 741587688, 378343115, 459659318, 358599572, 272207617, 660945885, 812281098, 486369593, 98308485, 22879204, 488819487, 693239822, 613034070, 956845, 609081075, 328660295, 607155939, 592323552, 100292785, 561397589, 571877420, 374731747, 714807601, 898061356, 332039338, 661687063, 266003162, 648918002, 499138939, 197832888, 767995636, 903803470, 56946529, 243841580, 91483127, 868312644, 389727973, 483763606, 894466263, 807589259, 851407558, 401992025, 696449202, 792703448, 670670584, 551297457, 949161329, 578931252, 592202875, 85849288, 106589736, 981022427, 828490766, 291562890, 722400170, 957915970, 797047978, 175527056, 988123353, 462280656, 524285460, 32119028, 632894937, 219091465, 190343289, 719577249, 197518061, 393396223, 711339173, 976930437, 420064469, 389494978, 763681758, 898968509, 368176693, 781004969, 79885963, 877108206, 930457059, 929309220, 431113373, 106645450, 522490268, 204950432, 297601498, 840822041, 42788992, 388426951, 618862091, 539035746, 200139228, 478108437, 85392403, 143447220, 587402793, 572129795, 646047777, 363432306, 859087230, 211561185, 355554209, 759063641, 851023938, 8536451, 47160110, 295743470, 659771860, 389348670, 471230723, 548257914, 909125326, 829623391, 814571234, 335073079, 101675816, 723709165, 430141623, 805547969, 21863389, 107914405, 469422398, 488903643, 214629869, 591974321, 845608001, 446338459, 740025665, 408272753, 969816042, 82059823, 469895949, 250727455, 309363578, 512402038, 720863057, 119203804, 867359102, 233353581, 73376918, 603345589, 129774511, 254449326, 835622928, 631319821, 726760775, 299783245, 213806278, 495017295, 359697125, 881529974, 502704479, 109959829, 397074777, 399449153, 883863409, 537222306, 674710448, 206202196, 256048775, 420134229, 703938717, 317395221, 386415346, 151698906, 893405749, 118684636, 929158986, 962140323, 30481205, 840604534, 750289628, 338501479, 288351152, 45957503, 490989597, 258993666, 458087361, 187495842, 229449633, 277591623, 55787124, 40212025, 555632084, 355125899, 707221426, 260905319, 103455974, 921779247, 564104820, 453975120, 28679267, 844987910, 917870946, 833394997, 537405604, 42483903, 923673112, 408018313, 307594874, 52966144, 802768416, 646715969, 160285267, 399944068, 704555591, 33736132, 761441442, 281500261, 901208504, 408462618, 120251939, 801109245, 275921388, 36935760, 198031419, 89456626, 522493103, 190345008, 769564320, 851479813, 645527587, 467498864, 718419245, 961340978, 114644291, 847061787, 700514578, 752471444, 875686582, 630901708, 945659145, 784117504, 100780691, 961514782, 193475399, 40055170, 987634031, 711318467, 574050818, 269050476, 643172404, 740824366, 660517615, 239774490, 738629527, 441294003, 91274394, 804761591, 968238677, 676471901, 715307333, 255477761, 231056004, 151032983, 908668210, 665261491, 465689829, 199827911, 173293871, 502621403, 644193744, 457176626, 95586449, 559212922, 812907464, 306364125, 93932351, 504953662, 650904938, 262428421, 79736987, 405245927, 629617697, 473782892, 267633277, 804485252, 40750576, 718373238, 802284567, 899508943, 33391337, 161750596, 571097983, 144467481, 39243147, 142051540, 992504159, 61327913, 237758732, 975398246, 533614675, 821282541, 803778465, 666053596, 482474688, 287343026, 402110709, 361467820, 660682459, 766863962, 940971332, 133443376, 299322317, 403289380, 91773147, 578740420, 178337753, 626487223, 3329078, 133029916, 3445303, 180192376, 348345874, 382546435, 166253188, 762642188, 407937250, 357625136, 577200245, 379724244, 19232721, 345288519, 722704102, 223235722, 598922463, 881090280, 630053391, 718604012, 141511726, 273913253, 102354794, 476017907, 422540672, 695048655, 265734182, 240752030, 72436120, 74561677, 369765754, 986102028, 271213492, 144489834, 932666818, 473117188, 947829933, 341732375, 416832921, 206474181, 188913129, 998511470, 73646354, 299332842, 270671030, 77491204, 199382630, 620056299, 593621476, 205712819, 370899908, 27972373, 247878908, 471032089, 602821904, 36654639, 472210204, 1506888, 675608009, 188051949, 1167041, 532098903, 476252659, 669257691, 559553425, 715122734, 20547462, 536253493, 64166682, 494508143, 856419984, 546429105, 401304239, 483683742, 561236488, 925680184, 97940018, 739642396, 215456008, 179172199, 457743168, 454303229, 40214746, 666384953, 570926099, 317619550, 675864306, 585532696, 579862672, 529502563, 740576505, 385691413, 560222402, 93681395, 542474751, 950202120, 878048451, 808731428, 463878722, 831849211, 690138855, 104977773, 644018655, 81525857, 621911831, 722700955, 885090699, 165054401, 214052164, 53318648, 531691184, 780786743, 759193573, 810047374, 385843571, 636137416, 699791663, 918197910, 917669687, 604733759, 128077557, 282018282, 818485977, 404253604, 224796331, 830717554, 736892077, 237971203, 686952929, 832352844, 939385224, 864533054, 558246504, 332102058, 181428997, 170905489, 965822013, 311167709, 424290155, 324675837, 744974423, 923753558, 215435880, 661537145, 98598118, 401814655, 585513086, 500782111, 982056643, 280836371, 777948762, 62053892, 989591926, 558089027, 150308517, 102494307, 761855398, 491719540, 313833799, 787853830, 680999807, 285474868, 823831355, 487419754, 775390507, 774844102, 674678210, 107334650, 651914174, 731087618, 424443194, 779124300, 311082994, 66146814, 574712978, 195648032, 47340149, 740048564, 774440625, 912386616, 106712487, 990929093, 479657623, 579562917, 979925905, 896835207, 588948714, 924994467, 641703137, 103851144, 181744391, 903478053, 173534727, 835429479, 779727670, 518445180, 797801167, 84688954, 271757591, 243561365, 383869750, 12503155, 733977353, 328482802, 220455684, 325796704, 701277435, 225703491, 371908522, 315305513, 943278837, 417213490, 476407708, 204101784, 924105650, 956566869, 187723133, 674794433, 330150559, 145352675, 764384131, 523608159, 522652896, 240079428, 588212077, 826744362, 678228374, 713681319, 323625951, 626134311, 576030436, 172499205, 527153247, 849978068, 538483200, 307960863, 288873086, 708805257, 929145923, 796650440, 755467254, 516490791, 566444533, 179811163, 368151876, 375227087, 962418280, 844732958, 660975984, 864078849, 767284855, 110599079, 414761854, 814506949, 640661821, 753940276, 211161007, 122619936, 855029226, 846373552, 124254601, 976515689, 702139420, 289323689, 800855803, 895860146, 52670232, 236408258, 337587658, 20052478, 107643886, 821932709, 47777713, 424699248, 787285352, 11511992, 435779428, 37640569, 105997829, 555901379, 256164510, 394017575, 138177804, 72280161, 269242166, 705900441, 507045556, 875410672, 600076836, 366396719, 742936519, 826096577, 268159050, 108434341, 498995760, 52964357, 33585445, 163960723, 928550671, 367423573, 24222656, 574303907, 909532602, 579341391, 380140407, 166386321, 230546300, 520910726, 851814753, 454958295, 285031541, 117589106, 93524253, 433786619, 758377794, 119826477, 843242724, 573561994, 185503411, 711162233, 7833516, 897992628, 791063982, 842376379, 286786970, 28894124, 373799675, 731072534, 133306498, 518557782, 207121887, 133229360, 681637585, 454196646, 664997512, 643888558, 473008641, 79626084, 300700803, 191904399, 294943269, 650725754, 678191650, 369444142, 542419740, 995746712, 100493269, 213208444, 395996385, 153421443, 958461258, 45564257, 969273327, 259908894, 810923083, 98927862, 520543653, 195700116, 369892009, 767633128, 902866211, 310665207, 819037660, 8972278, 297942802, 31459453, 95988447, 563361072, 86692933, 81124319, 867978444, 383316498, 487051984, 62934898, 239833867, 552196833, 53955629, 172657428, 606474412, 335557460, 145557222, 644823371, 48857577, 45270372, 725657204, 897239268, 97006795, 99455912, 860385715, 618984039, 672552024, 323090996, 1130878, 971983578, 854323538, 550120983, 493765136, 512540169, 561639076, 510345063, 581009977, 50474279, 935374775, 789252348, 580877485, 254793747, 247650635, 171603249, 542555979, 388928136, 601735654, 990325645, 416595669, 485334449, 213389490, 725840032, 6462992, 408051361, 870301011, 888597507, 609682693, 940986890, 996838573, 449783687, 84467663, 110434429, 324095380, 493339444, 184782661, 316722012, 100792193, 828304402, 756504878, 83966780, 823557645, 546126079, 577093129, 543374338, 849555733, 910871853, 93692770, 563883649, 120131515, 480773657, 824738829, 772663671, 410735421, 356807837, 570974460, 668574348, 327972049, 370234855, 595632569, 681193488, 238224832, 583114028, 768501086, 385460389, 66838389, 646221508, 318319593, 928936405, 417756186, 363878096, 169957149, 469388416, 206113929, 688953663, 998234811, 312908002, 577528725, 863737144, 502698131, 678088765, 572716338, 49506241, 950917746, 985064567, 578032951, 775046937, 653979252, 28855707, 907658180, 103380183, 128592879, 402168262, 830451830, 552320941, 947382580, 405287281, 338298324, 874171231, 598853720, 312738333, 659912057, 83552159, 97149317, 885450385, 608808659, 307443193, 809488793, 334444846, 13540615, 764069004, 989411837, 989992867, 494376208, 185304716, 933025516, 515558383, 959573915, 108841997, 337676042, 894760342, 791444274, 421313607, 337925556, 770226917, 802806322, 362827296, 336345887, 552663403, 766035273, 152846983, 70085777, 525289153, 862330203, 281677461, 512692600, 394750755, 353567578, 252486796, 945051323, 545368762, 617985398, 661085622, 679889865, 203348884, 45884218, 597036160, 740552638, 974927841, 874985946, 941776850, 286236561, 967628725, 600622103, 260412816, 704410679, 368354222, 797512010, 109104239, 549187430, 383658072, 698882757, 981908961, 859206008, 745484739, 57199793, 972706842, 593761504, 942002813, 898482953, 476560035, 475965690, 693678800, 683701966, 333391163, 576355713, 810265280, 272429292, 558257999, 109464290, 179138554, 41466949, 176540931, 189861841, 981234983, 424636343, 124258832, 800922188, 418732796, 380582968, 905507432, 506342546, 808914618, 757178351, 587270257, 760521781, 911011621, 354844574, 124637577, 866964211, 76936541, 995624618, 449681445, 528960601, 296202055, 7345553, 222383668, 185814912, 119281004, 596424749, 518415262, 785769749, 638400725, 391979220, 345960069, 869376035, 807042212, 549559674, 526259562, 795429429, 881280355, 429003935, 995613209, 569463349, 877093595, 419656156, 835479133, 66941963, 259274570, 825432626, 454765865, 819550971, 560993317, 324416025, 602721331, 310489512, 263994145, 154753998, 745457465, 296265200, 605405662, 250004664, 726772805, 989003967, 908444294, 2920588, 582688591, 251601325, 443210894, 675453202, 540306057, 732456118, 395282948, 835086136, 852001992, 83764786, 40667549, 951979223, 808652033, 869454031, 905453644, 325720543, 996372842, 579542889, 619916537, 693010352, 489068235, 927058352, 610405815, 339728522, 235234812, 878570623, 852372411, 781151027, 553607427, 15363387, 717303588, 698589801, 597745275, 789292153, 880270263, 342877813, 688838394, 284787111, 619088937, 215590940, 694355700, 293942294, 383390671, 935896784, 275503424, 196619482, 893285648, 996765693, 522322373, 146765950, 456733515, 551795855, 77949424, 852104082, 111825070, 633615404, 239413760, 233191069, 574380711, 487199587, 900723693, 412684785, 279283213, 370635070, 736314697, 612268011, 622205130, 95438309, 752687355, 211208420, 919014092, 357355447, 919683657, 364605565, 695480980, 989316742, 344130607, 466273897, 842499131, 11997156, 951942443, 99086312, 185365541, 719618851, 223250053, 531648148, 524358945, 647562599, 761151530, 852435953, 700025611, 916514242, 781097730, 18965179, 73094835, 67009942, 868623138, 985274163, 905813142, 766811906, 326396497, 596910842, 378542348, 584198061, 261217027, 32571459, 531749954, 841916611, 480237711, 602064862, 684835787, 538121019, 802965947, 433618520, 589885902, 626474801, 674154450, 741087985, 531854984, 447766527, 866780667, 42336726, 914565176, 822599924, 176281041, 391936955, 433183131, 667990938, 83095976, 36239261, 597891560, 616093281, 5539284, 606304917, 577141687, 674393153, 313714352, 217655441, 561559108, 976206234, 137262940, 646906336, 716624919, 751223980, 618658735, 676580770, 406712107, 13866377, 619258417, 740252049, 78799433, 49195247, 30060546, 573665494, 968860567, 579977314, 411406301, 908988429, 717483905, 30487385, 409674069, 348889880, 536894554, 175243472, 672001272, 279723668, 225105401, 317982189, 61453406, 487580996, 596486437, 414801014, 120156595, 721921242, 485615087, 517512313, 998563768, 385496905, 447209845, 655020908, 489858077, 674990726, 239787862, 347298343, 245618144, 766957722, 869189848, 429135495, 334140348, 710850674, 64730003, 698676127, 961141339, 984087171, 733228099, 594763978, 103019364, 768957906, 418147016, 330657156, 356151898, 224529032, 396734064, 376763479, 527936717, 770677401, 228374783, 126384213, 934714492, 749662421, 708250738, 792394347, 603523181, 785978433, 609748589, 421821890, 19173848, 654740655, 255291638, 499622185, 978968167, 255392627, 488518263, 333984564, 49304163, 825206766, 346315378, 521189558, 688279418, 987150806, 846638527, 464217069, 776784899, 135981291, 105135949, 208289723, 646554056, 332293053, 442736141, 188226460, 215789208, 138174560, 592218878, 653613996, 900037555, 447860103, 717227196, 448725582, 60123482, 769184604, 323146137, 64756097, 782767668, 337782619, 445617802, 81836694, 144328560, 564462110, 685333335, 192038120, 191947512, 453391184, 598445831, 258686250, 987489337, 586958329, 329345726, 931328536, 355611485, 678166421, 342687338, 383412041, 795546264, 865592850, 874327994, 381911315, 694050430, 745616572, 23713184, 660564632, 77866698, 632123422, 639450650, 903327210, 241009825, 679477476, 712084634, 467313823, 544925538, 291840575, 892290046, 963064003, 838258507, 392722392, 59191994, 457691534, 569468050, 77122561, 387385228, 930025991, 235190867, 371859794, 441674240, 968833855, 925115259, 777264344, 645589091, 104939955, 815752445, 150235142, 627460803, 706095376, 177407119, 20126085, 537612254, 733398470, 800830806, 41806905, 332874224, 51656492, 378935836, 251743565, 510654415, 464392944, 544260210, 833754051, 195234792, 299761392, 925978906, 457196399, 503698712, 107707281, 62499352, 415364722, 495618004, 280067077, 61714292, 794471720, 118721274, 791617134, 234264639, 775707710, 613740901, 402118540, 770764445, 531948657, 764812423, 817709672, 775516771, 376800145, 724976445, 428222566, 275687964, 812158735, 800529615, 67720569, 112275127, 93017313, 569091474, 948224004, 73020223, 364028206, 478051176, 261123233, 727577865, 379562349, 721761824, 284636392, 899996212, 475008901, 51094687, 598945856, 163034792, 101270354, 158545962, 704249237, 570341606, 208632339, 215763178, 939746840, 789746151, 347981524, 130810868, 105559948, 10052307, 40379749, 956485618, 356426423, 904734098, 384562504, 35979345, 421313463, 798181183, 672386287, 33975308, 977917089, 106553803, 385127774, 658603049, 387971061, 574294014, 692442714, 888359348, 719902819, 271637867, 875949580, 87146486, 302234534, 84557591, 143298125, 233406675, 91604257, 478245644, 965849536, 909314012, 784622758, 710485916, 720180937, 28865996, 582629024, 191242812, 944239809, 256594268, 881543462, 66373940, 255145095, 203116237, 396237979, 548633450, 583695071, 845576177, 768835118, 96160897, 854420863, 906996306, 517320948, 278109403, 511594676, 599701949, 347104608, 928057125, 123672135, 31464331, 548156883, 520598517, 306098618, 840025741, 799153722, 125594930, 59734421, 30718316, 238449178, 479463034, 190922872, 58678430, 457338028, 385691409, 476574662, 872872802, 225080512, 538137607, 897838317, 1096368, 200768967, 333134346, 973724191, 203031742, 441405017, 524561663, 621331211, 516869709, 184389030, 422546122, 464233037, 136705980, 728662413, 425709861, 543848460, 498969960, 891941, 909292884, 94260512, 983060790, 64985685, 692128896, 901518431, 129847054, 645336449, 494020862, 217111084, 739727651, 380346460, 661926068, 805264711, 250873211, 80296717, 273596715, 463941095, 596253695, 377498853, 374529413, 236192566, 448450710, 458304190, 445586817, 934671396, 951316172, 548906586, 48612385, 494798144, 690156394, 858024161, 778858270, 660386928, 65816071, 366584952, 421337068, 439222200, 204512149, 580575632, 72295461, 562336296, 171532892, 881913285, 129273202, 542090702, 984487562, 512134183, 361973477, 858383931, 355291940, 598286070, 464495931, 270923827, 392311474, 811923288, 773431731, 551966809, 694703171, 470623217, 36222177, 912363586, 721144439, 863705054, 895346502, 360101391, 1057773, 575551143, 813757489, 706957740, 596941446, 575159600, 518894511, 765191701, 739083127, 352162624, 593879374, 280186941, 731538545, 837932608, 209341449, 963450938, 578636770, 294408018, 108209852, 945901723, 269907064, 879576225, 151916759, 913786088, 952755826, 596039178, 994857167, 725261826, 36947395, 254329752, 854505153, 192186150, 954581668, 576104495, 608243712, 601501019, 392219914, 473516887, 50140872, 709237172, 798846123, 305902072, 617175670, 246496903, 889324875, 83607783, 421443076, 442176836, 912117055, 775505045, 689776441, 44730679, 39233036, 514710124, 569352791, 504798947, 760396259, 868129724, 674686656, 504417300, 796832350, 808558254, 735009920, 753806670, 557188081, 994307511, 23191543, 265882485, 924350299, 806633003, 712490242, 769257315, 956159, 669864698, 949392879, 236238962, 245569993, 400163315, 388532812, 577888101, 829222178, 203324357, 305805743, 385401783, 993477192, 891434964, 827551902, 407493111, 925487433, 482724964, 716187107, 152801963, 545689470, 286012981, 978430321, 16081423, 30642163, 183667106, 787139011, 665215469, 198592326, 498814191, 991941883, 406301543, 765569060, 436089039, 747939681, 647402864, 104276176, 842308704, 756533946, 37176631, 850632460, 134480337, 909465770, 173660234, 74405402, 919140794, 392847545, 285164145, 914677522, 965238724, 420212580, 98840815, 140777567, 815689564, 888734912, 833014795, 491716891, 125392756, 607040999, 90588475, 121140212, 635219047, 312245967, 717883664, 185966426, 666195054, 14080036, 872948143, 705531232, 369122767, 868971826, 309278071, 475433933, 724133766, 164548688, 816199014, 176875097, 504746864, 518670801, 942612381, 169412591, 377165881, 856203854, 426555451, 186590900, 166310227, 537728486, 147583599, 524028789, 682046360, 944341933, 100803683, 388030076, 817072505, 854048073, 244827002, 124655865, 884032618, 777108077, 857548484, 966689005, 599074938, 953398496, 487915955, 737029682, 382288226, 999641713, 24479245, 319214931, 658969325, 321149409, 482207657, 855578624, 382738297, 152084148, 19030066, 718750031, 395013854, 813692538, 225278515, 753356335, 625314949, 10319456, 905975164, 230514397, 737558968, 142554687, 210791436, 762434637, 53139455, 744208977, 691429168, 613877584, 821442870, 864055646, 165922588, 538949985, 991324442, 482026728, 450337745, 229019450, 910098049, 267783092, 646311994, 148686709, 481769535, 427711825, 351537411, 361963638, 76367774, 561727633, 823939092, 227835647, 219570532, 154377598, 495577211, 941387373, 484088613, 153483587, 985464731, 649427575, 95217182, 825311755, 974559273, 332217377, 691775307, 713787960, 807643916, 601437997, 307189733, 416870973, 505366341, 964015118, 312477955, 150779455, 327779974, 612366315, 312802901, 897113267, 150021216, 863527594, 814008839, 96206996, 551437073, 908795568, 827087052, 565179602, 394682559, 989272027, 830830010, 778158965, 519323043, 423096842, 62728625, 542381516, 885963135, 849547406, 229136652, 80411291, 782355719, 486454622, 737646881, 468022605, 295615214, 283560683, 770553835, 642961277, 885635970, 92120198, 235210300, 198996690, 639808751, 488727741, 915804120, 765761331, 548415038, 269419593, 506733660, 712537102, 965867619, 547437437, 239738778, 24894528, 413013737, 413204118, 821439529, 310151141, 478066513, 354170399, 458009425, 589551259, 411229704, 488435910, 386217589, 703020251, 634337427, 409791403, 857652589, 823087444, 10792859, 463459162, 748195775, 924891440, 356567825, 173987539, 162069100, 555479034, 34299114, 494138058, 724171555, 751968496, 152756761, 725754099, 486412795, 978065974, 382914491, 652867614, 912106190, 644373146, 821119819, 401186403, 780239272, 703259082, 592129930, 839956086, 392517048, 302862578, 4202958, 556354926, 172331154, 675063187, 617894432, 305707039, 774371595, 366194315, 160964317, 944104077, 522814859, 345784715, 316498835, 840926624, 419799563, 200863888, 750027352, 579984398, 992818181, 105099840, 172760698, 288353491, 955534366, 961616277, 628029535, 779977522, 259273089, 302383727, 262292676, 469187699, 929106117, 301416520, 331216857, 263041463, 889593151, 663782352, 32703198, 607645779, 482073648, 949454102, 319437571, 760121969, 683532612, 764813576, 170396156, 840453955, 758879192, 382128093, 650812380, 443403703, 222043830, 701784268, 96959012, 380856183, 645482181, 879070201, 984212185, 987547942, 774950044, 744571855, 254067752, 626742781, 888725629, 992934995, 703628848, 800195717, 118063612, 61323368, 462780462, 79832285, 172941180, 770438425, 821383642, 504708824, 45866009, 139945967, 648178858, 774944009, 2290854, 340145240, 496835341, 251311895, 4014940, 309682075, 800264397, 311941786, 234759805, 292156367, 214581976, 608156970, 242092270, 462537137, 370547655, 47281654, 762044681, 45318250, 385415010, 31550598, 489056461, 942892597, 829627325, 41459462, 800223916, 645563231, 952797762, 253844153, 710725627, 234445175, 779468191, 612540609, 339936418, 886274682, 240578707, 607810886, 715797778, 366767916, 979914873, 384483358, 583381405, 871574190, 704787475, 240543561, 905094240, 580734156, 541428837, 806061442, 839176985, 630501646, 178266037, 236255770, 185563239, 611098694, 570594373, 71862607, 210015956, 950884496, 829796502, 543703918, 286896994, 633677691, 886551291, 979404013, 738728258, 253794042, 663212785, 559174449, 448424582, 517090892, 888834207, 574254484, 961863299, 323295496, 622936573, 46472058, 78287807, 875107966, 638163377, 346684215, 9263104, 990165992, 902284234, 274481740, 805695809, 672458663, 908783286, 65531672, 371304841, 161792504, 434364980, 900440081, 198855761, 373248848, 373189256, 708531671, 910812985, 196695467, 543097289, 318239319, 236489539, 403037290, 587760445, 215544422, 934976222, 443128086, 123995112, 343201889, 504000477, 637841283, 551200698, 8605913, 661152182, 414745296, 305983792, 747008903, 231495028, 43813556, 864259207, 906999308, 484276672, 262011104, 935806150, 398347619, 749145212, 238575016, 236182071, 496052592, 2918395, 260098390, 285763408, 345047467, 567945432, 285877496, 864165175, 452898767, 5472849, 32750441, 292911209, 132761940, 999180238, 76183694, 653606882, 913651064, 487942053, 181642367, 589656211, 74525157, 78893726, 419882564, 263985937, 328959797, 2801214, 58238074, 39594491, 274488803, 518930514, 36730028, 787140732, 536430970, 639005662, 155288663, 632162451, 729349495, 875644555, 375688525, 674221558, 904964211, 533957836, 935798560, 698532664, 624025322, 703240082, 181145974, 105270235, 485374538, 122103499, 166419326, 816440940, 372592950, 912678253, 375303042, 633313274, 875613607, 625266161, 644383146, 907260653, 630509859, 3664695, 15699693, 46927008, 160508324, 229490826, 509622211, 732768383, 80563664, 165670370, 787259783, 961702618, 3508396, 662581834, 983578185, 22454607, 957011870, 195051467, 703248341, 136180554, 143672365, 179935572, 194313556, 386575814, 539455002, 802371123, 551225485, 180646044, 2177733, 858205206, 805957222, 743872156, 115686623, 760536714, 273499229, 302794538, 943051520, 559934214, 234118829, 745304381, 703007443, 495552792, 595729163, 880004630, 444028443, 319238243, 736047233, 941899102, 735156551, 377419897, 281974908, 966269672, 283449197, 839911740, 5410528, 577639038, 684502268, 896760679, 264506405, 695278823, 888036793, 679552914, 960500501, 276878567, 451645825, 885172410, 749714322, 467023469, 547222190, 641309850, 941535577, 789917136, 33850681, 185017280, 636861250, 506973336, 979911627, 669689041, 548482880, 52911909, 15056346, 196242148, 497034770, 745463938, 83166201, 835827469, 55863867, 195282951, 46378517, 352105645, 562135566, 698594760, 988722550, 973020080, 168018070, 822949041, 894176898, 947057705, 256683109, 305580341, 963279900, 948349906, 320234188, 255821449, 318018386, 644687810, 110365825, 402496030, 333519274, 129364220, 11092815, 723257320, 495592184, 631309027, 880009188, 849935547, 464092293, 440137835, 229583781, 325272160, 252460281, 7925450, 286615879, 548063519, 681698591, 370939767, 787090109, 373501847, 784901333, 976655400, 969037023, 338817382, 557984004, 442955928, 224523477, 308233289, 385031063, 71538400, 751797223, 689076423, 355424952, 56645481, 16824821, 213266757, 974129263, 772637772, 638101616, 383289282, 690997561, 331296571, 400654523, 313556603, 76082353, 302591278, 564232560, 89510929, 491886698, 444877553, 157395646, 419934865, 484474219, 161649464, 281093131, 742786218, 524618137, 94122679, 852629817, 981980698, 26210962, 704089464, 587348353, 208623213, 151948789, 652687506, 743350743, 642809474, 697639577, 268715581, 223013805, 966616324, 165457371, 627085482, 688674127, 315330012, 611127023, 124560589, 646856942, 916705789, 926165619, 484359471, 947748845, 794631145, 111514400, 706294725, 217852618, 419051075, 493788174, 746392430, 241477982, 244284285, 412131589, 405906463, 161229615, 580308167, 983749128, 971703368, 901982613, 577986259, 623547041, 528053240, 307472792, 593443833, 320205639, 104252841, 625999972, 713641035, 145675459, 456392610, 392343285, 912837682, 710155571, 254531757, 257380464, 227833241, 874421715, 106425676, 892365521, 399628090, 454123833, 974115307, 361042589, 828960161, 13430404, 340220601, 584469476, 625275881, 663798829, 39170935, 718249402, 733511936, 18312224, 769849964, 182334389, 843432929, 998712293, 818439373, 139670982, 311856588, 585214175, 703946616, 708719769, 51518287, 202565097, 727864816, 351823905, 197407686, 305328983, 36991302, 712144578, 564967582, 386061421, 32379911, 404875066, 440537546, 208533688, 600445948, 658577900, 553932626, 751286527, 98360460, 521741871, 666432125, 239988898, 582319553, 556217651, 680458107, 48681980, 751208022, 113181054, 930278266, 142706301, 568930612, 558929952, 713586163, 255194722, 869472682, 452475170, 38394135, 978464772, 325897535, 641851056, 721468079, 756682349, 316689518, 733177541, 48039703, 835282705, 349026805, 921752074, 795032872, 950852447, 222812251, 83669459, 382256160, 236538630, 698285846, 426127580, 270837526, 701335351, 128538599, 268271576, 26653481, 739145792, 501421001, 575880540, 588656604, 292285650, 100809162, 516520849, 734841734, 620221489, 578229682, 1886363, 868418521, 229529468, 674556119, 487368543, 274908119, 565317382, 503490895, 498763871, 434118058, 202048033, 550274104, 115773412, 360794999, 573571486, 935446615, 830590025, 896045066, 695247867, 238199062, 262066940, 750665452, 833909504, 587559778, 163030207, 186329379, 868715944, 789451672, 448541550, 230624480, 963853823, 2883947, 513375703, 55707019, 366628270, 921499379, 802365401, 635490551, 807643846, 216166570, 987978292, 595407820, 118232324, 954152806, 89799231, 461173284, 693154341, 441026061, 542000805, 417419489, 925798481, 371773309, 241341162, 930871954, 616652399, 247440302, 378428018, 60539432, 210658390, 53017839, 629073753, 985364126, 970947909, 132100442, 819577283, 391218636, 47199857, 554195841, 157149007, 198581106, 567185780, 269960119, 379297520, 901221768, 279635365, 152152232, 702782438, 314760288, 669308942, 98808748, 557592456, 37997652, 911356891, 321844133, 927186779, 754187692, 826990335, 842530531, 307881668, 864903165, 745566228, 350033964, 37176350, 120937580, 504800822, 970914555, 468064942, 884894754, 827432623, 655268842, 824149707, 267137233, 376444107, 697669367, 497023341, 265964585, 274059656, 736142643, 39542051, 773066275, 601962983, 886489539, 464975908, 793927728, 358282689, 789163369, 687324285, 313744897, 57945227, 378476031, 989054139, 406230184, 132193368, 108120160, 162681552, 743575282, 869639420, 251197205, 640098922, 222981173, 713239299, 18329730, 861268598, 628377437, 978738018, 931013793, 226653929, 133213637, 614559577, 741040391, 828242595, 590112216, 230744959, 942282188, 16458030, 887832589, 770572104, 643716456, 507062062, 366395368, 177229063, 714555951, 280963750, 213312227, 769796387, 757334198, 955171085, 378260320, 727721109, 479198299, 720944930, 796909874, 783746303, 191248554, 343524679, 45961365, 423649900, 385409730, 771587366, 741333307, 23383200, 369866197, 965530449, 6180350, 904918337, 831387764, 118478783, 978099999, 956299431, 391384763, 412018417, 64414726, 779761465, 997691195, 735902755, 830762283, 98320621, 225795420, 913446888, 67698858, 762525780, 926177590, 715107954, 865225988, 144532007, 715735358, 429350917, 245767548, 494038144, 545271365, 298845170, 211391420, 758048017, 456376700, 705763254, 808926765, 224449051, 185244447, 649976475, 108640919, 185789919, 878400809, 764309454, 431918308, 977015446, 64999447, 995001287, 894858066, 510658032, 752139930, 451684991, 213749847, 555065171, 862859318, 241716797, 328905236, 397905208, 326501072, 858066532, 720888376, 591630177, 332871064, 493837579, 238523462, 315481760, 447580571, 308574787, 614195816, 379323307, 973614001, 644359838, 416913285, 665750735, 359860876, 57199542, 915647249, 595725390, 109639037, 745605518, 58716967, 542603627, 307988290, 677655425, 7792142, 33831841, 543312931, 292129146, 707967456, 644718710, 205511192, 763410504, 556755574, 957485705, 489288045, 553785613, 136958546, 940600193, 289276966, 71268704, 383329987, 404350687, 261848214, 514544828, 296481298, 651338752, 57817451, 311183765, 116832483, 739571022, 174991927, 240862125, 241667508, 665368089, 595301314, 799953201, 875687855, 143889597, 375140184, 380317752, 689116055, 955823867, 546702571, 255295869, 376718417, 23813433, 331443797, 328231276, 655193535, 874600009, 164072750, 355916405, 527279188, 267177353, 532445434, 368447684, 564608820, 580407020, 972805360, 205049401, 707340332, 872592723, 410856949, 45248952, 562122189, 501426967, 98884309, 872213852, 70760075, 856796943, 38925597, 141248556, 980789836, 345363490, 232037688, 388627111, 795662592, 529655799, 97223928, 907341273, 799069028, 540305609, 166026148, 72155212, 863518487, 984141170, 485215135, 858492811, 225707349, 34929090, 465589469, 402531366, 880555894, 445820754, 313118787, 765120794, 535619358, 968515105, 248490934, 561652734, 726796323, 298566871, 595550978, 289455360, 108896537, 338101408, 165160348, 330080735, 47415330, 784799001, 595243863, 207513278, 495981097, 88021848, 314283019, 804137627, 562605730, 776712272, 181405166, 632256513, 120833930, 590357072, 820985686, 268354169, 395166956, 49645517, 208638132, 214271934, 855229675, 228830826, 743368693, 247132575, 704081398, 562465429, 845937946, 410978599, 971062880, 510110685, 98205372, 462903466, 407285528, 584542020, 414531529, 318178836, 358579919, 929228046, 896276149, 64958837, 982803128, 996906056, 170928101, 417565216, 11404472, 660032101, 832912325, 130047737, 974522250, 706302133, 323342718, 474326956, 258803911, 91638016, 292544724, 954898686, 95963228, 422404987, 375219399, 785495108, 375221197, 754869574, 105172765, 635963052, 357588926, 209590306, 595602035, 170488820, 113594018, 151715544, 386151307, 120657271, 258288852, 192284020, 433201047, 322603664, 979920964, 193581294, 257456800, 931770146, 392765141, 157670266, 939958365, 350382357, 987259651, 405712574, 427642126, 636547836, 879382788, 697152615, 128634252, 437120957, 274374261, 339486994, 964997494, 733828623, 969091245, 92695216, 193571359, 1532690, 821798443, 636329728, 692774353, 976234995, 370233917, 943698691, 743487430, 528178055, 187812710, 507821419, 935014076, 605690001, 177125102, 298838724, 32052365, 833119048, 766145479, 508073842, 97028898, 842212037, 175815045, 544196273, 152967360, 442493635, 528143676, 221288243, 945079578, 431813259, 868796240, 64459937, 916512574, 939042485, 127532820, 714451101, 386839469, 552479123, 248987036, 337025316, 867697291, 847904381, 183940303, 49207826, 503372852, 319315531, 975686991, 703652120, 572419564, 884986310, 387566551, 231708921, 799099056, 402199547, 616568683, 588999110, 417483702, 807267918, 141925927, 262686484, 375698299, 323208772, 577354654, 542470092, 909922382, 376802368, 714502293, 386258217, 481459634, 927626285, 107678598, 554157798, 7934308, 848212950, 80996129, 392899332, 759239073, 582900183, 287054859, 802305193, 529155551, 442020888, 465099659, 186336261, 44954624, 694044427, 127806856, 640409227, 803728220, 946471200, 602198919, 450685535, 581564574, 482852732, 254064594, 373957508, 986117530, 442622365, 554471361, 359173776, 841254633, 195738361, 75886032, 788396695, 20428037, 93651515, 72358372, 136464916, 651723632, 563127125, 25490727, 173599858, 997501153, 987166235, 613192305, 435826972, 482466771, 205116129, 838999426, 200607887, 614489182, 264713778, 783627647, 990062426, 130910673, 607718694, 610377309, 573971785, 44762487, 835681954, 901110225, 810635240, 907611164, 18990065, 891266584, 443709899, 856361936, 333544319, 449821086, 391819344, 492571820, 569201419, 43290455, 715139587, 977360249, 911158090, 208880862, 120246831, 325012151, 933168271, 59056896, 452251614, 42677113, 329291183, 507672703, 828848904, 805074800, 927800487, 112119792, 671013909, 280205230, 304046225, 233620113, 82697693, 603202922, 431708257, 924598392, 771690178, 162826872, 556646653, 754736670, 691737621, 893738106, 828481698, 847417499, 711097283, 335748196, 648357347, 253025199, 401170055, 175724403, 176989383, 329081393, 821902026, 668264335, 931168239, 31404023, 264373266, 209633728, 281695773, 900023297, 304588401, 112910078, 535724287, 512675127, 211323872, 424940210, 940956705, 852411436, 720955844, 276896509, 775331342, 843433286, 93024939, 126634849, 237184412, 942062873, 791406974, 124699996, 579130417, 725044404, 366851505, 528133958, 337290560, 932310854, 734525480, 223812483, 834958217, 674476081, 818888091, 63761621, 254695498, 805113726, 840952636, 570419319, 487364464, 726128723, 796227572, 794725038, 950841452, 394301434, 791909502, 544663440, 399423788, 854629610, 723654707, 106580963, 952996021, 783544010, 533572122, 323567763, 219718785, 144002928, 348711, 268688938, 811586929, 599960972, 225211524, 527867956, 336262974, 92080553, 737311714, 196860926, 598253403, 190309270, 565120269, 465452917, 731607347, 272736106, 503430147, 212730386, 904925581, 720277894, 260795263, 210596187, 694790634, 624776087, 671663944, 847511013, 683925203, 636072522, 702102668, 447575011, 851687143, 883015212, 439516260, 16750807, 485427525, 888327453, 221465665, 909695686, 780635295, 932254232, 203119849, 320378411, 668426417, 763693420, 471444790, 241684027, 982953794, 960328452, 997520736, 913929868, 924579815, 777271518, 205492851, 221105073, 417782751, 117922847, 446445473, 501688424, 569325831, 353735051, 100947722, 552928046, 550517992, 409502063, 956136319, 35561079, 319349605, 285689093, 340466719, 699578802, 316307848, 485863505, 884645562, 228275908, 892506654, 31171149, 806590153, 796510306, 200902063, 738864517, 226777850, 111505909, 387592741, 865027458, 513133876, 910770118, 692239882, 659768857, 407995501, 132054630, 414570827, 767478608, 767363709, 237939981, 167125796, 457778291, 436383327, 247025420, 427653923, 687809316, 542568515, 258138862, 429591349, 831078643, 691563804, 6076712, 32832048, 651801971, 832436927, 383723073, 516565758, 663885240, 634741769, 156052531, 386969098, 896948673, 62889360, 806506987, 989947807, 959873038, 561568856, 907200468, 336886056, 399053830, 293312423, 883103631, 269935595, 847651833, 79170664, 547333795, 376080999, 593947268, 187421151, 264310614, 657721321, 621107862, 493669992, 764718750, 232810153, 752127194, 342901750, 357453511, 698109784, 859753082, 489914655, 955400174, 519959228, 246128707, 402468393, 685729119, 69856467, 367165748, 138369385, 562354182, 262904273, 10199255, 477488697, 132021531, 739029924, 779281102, 63612578, 626669690, 897048978, 419058738, 601638816, 744011098, 576599564, 812800558, 561703165, 39063056, 479380867, 929458705, 451396871, 307851439, 13291917, 491960891, 720528393, 408003208, 948856978, 216061878, 45363753, 431877031, 631572742, 486743468, 754614879, 938257294, 263274600, 103073283, 624897259, 634425191, 772325148, 827981337, 239509894, 408247025, 451882216, 474576441, 35104984, 293481671, 932372206, 416207244, 423187228, 886949683, 424331940, 448827726, 338304841, 675688993, 682176060, 474347768, 874258027, 680756980, 872130223, 109959412, 229729139, 354010016, 205799359, 438538723, 110254676, 371094555, 291120096, 450255246, 641644943, 850492225, 298814161, 988770042, 304274002, 716843243, 866866936, 974204375, 806858506, 826482270, 794173391, 878088530, 856980379, 908736049, 487913784, 142531387, 358480247, 727393711, 609738411, 426290335, 112548255, 211014775, 209912135, 41133458, 35264820, 743422796, 164235339, 13758379, 953981087, 196733812, 701044552, 712119106, 871012964, 380621390, 426359759, 218396581, 696874394, 704436303, 441930125, 222108652, 317952760, 961443205, 630423306, 258285433, 562451173, 982711292, 810991713, 683327677, 493663435, 314871021, 716089855, 758511951, 406227696, 67761985, 651785462, 185683564, 263942043, 266487354, 877115452, 279581012, 564191654, 188659276, 565082849, 412460785, 644728891, 155611384, 947081884, 126227509, 300457549, 909107582, 734620264, 516285455, 475335700, 516547497, 22021010, 371484309, 13475656, 271775417, 240483396, 493507914, 251423575, 342383990, 495373032, 5646399, 559212030, 430495522, 746456282, 354419228, 308384321, 350513233, 537447859, 500997406, 112435378, 667185557, 358906711, 900407852, 325662938, 203365486, 287355104, 370227382, 948358472, 987413314, 632990611, 657630885, 985825811, 629071056, 392255905, 469519912, 152864550, 116324934, 896431336, 691886714, 220560258, 425470610, 126003363, 84407098, 192485033, 932678841, 225344184, 93908835, 921156465, 124830866, 997347540, 761390909, 182793301, 454895537, 551960614, 893629668, 763497900, 535489631, 901662949, 954715266, 655343788, 677661529, 695166119, 560716517, 603966178, 145107468, 621524376, 814733835, 621754418, 253617223, 326101572, 315225228, 682773281, 160514706, 363140981, 374193828, 222509896, 750780404, 673939334, 44143854, 94775450, 600235672, 68006694, 595204676, 543329678, 81916148, 500736663, 129304543, 59061803, 499771112, 184890948, 190205673, 386598581, 295062338, 420816574, 37465154, 663297757, 464682612, 424405978, 758902354, 474916087, 933979147, 818096702, 225532561, 194927230, 314379252, 348071739, 87576268, 404194126, 267546512, 414736173, 617817923, 523619556, 478369149, 839782358, 359701547, 290668765, 703427987, 355012053, 859392856, 687592704, 176163227, 966835656, 612730629, 850873501, 190900846, 1891782, 524348898, 843974712, 211926064, 711720847, 633514798, 651269086, 410030874, 561395294, 146011348, 942009467, 416449875, 442660810, 181053991, 275742831, 652219209, 587357577, 150583521, 175388851, 345735968, 870165551, 389517571, 417320093, 646833144, 39564564, 769306564, 847798749, 970327769, 148952539, 609517647, 78626713, 602969360, 912406833, 35184725, 407763477, 669360706, 513627859, 509484005, 814053844, 638591226, 239576871, 464961419, 859658791, 651839026, 871909042, 703465773, 830668544, 625480185, 54495912, 788286887, 286583073, 976295257, 225449454, 948681774, 443799554, 408335956, 623171282, 415363920, 467324352, 637361797, 41845785, 118858588, 905230900, 564201581, 478525902, 642649869, 809525144, 243304164, 370453202, 646373885, 791607163, 353127986, 87017951, 734063559, 411032701, 510185216, 60574322, 785080230, 927780460, 754693760, 272295819, 723996102, 398311808, 989380209, 600664571, 88397500, 625587845, 757337620, 600716059, 599453541, 48968802, 717154486, 160413947, 891968562, 233147788, 397846850, 851156951, 566889001, 100689184, 936478328, 797168865, 112635655, 988527615, 899075102, 794410288, 946657162, 550117697, 16711288, 745502969, 54751684, 208385516, 496782678, 6378482, 127938444, 803582092, 150282643, 472657363, 733417184, 759187749, 771343629, 453959644, 430864872, 882857389, 61117358, 187677199, 196620473, 924991771, 49630299, 79319450, 58320803, 811931935, 225293095, 961932961, 993014260, 146275865, 211750788, 141385755, 770732726, 65941134, 706252289, 43959019, 160326808, 763935726, 537542646, 455346968, 461727655, 184611323, 527313282, 396804095, 738275751, 847313622, 948534327, 470864984, 25156089, 81392770, 819635414, 433728046, 144133770, 920310188, 738824642, 866233095, 921653029, 901746821, 976566935, 563071924, 120697329, 583292608, 933985142, 142641853, 707653767, 489574686, 915653857, 543162187, 617929391, 839854517, 973096839, 901497380, 741758313, 477510583, 915075561, 997372955, 508054407, 841129465, 630539801, 314899931, 561387300, 265990603, 14274272, 157883278, 364268551, 261234686, 394755980, 541905605, 389962084, 742985486, 355539146, 636431347, 673422000, 192057606, 985241812, 831606645, 323375306, 268007203, 905243081, 52617681, 573858557, 752330170, 657868708, 293933037, 223594690, 490177861, 612473742, 148821926, 58392760, 825680570, 175510101, 519072272, 904529413, 523252638, 622737136, 33796199, 981217879, 331716646, 370274270, 125522874, 297759193, 900818297, 188037002, 431699080, 843119457, 541810826, 270548794, 973680675, 96626912, 56282126, 381033187, 725758999, 511556944, 444079168, 778786714, 497731571, 666381886, 115999073, 687550808, 425091007, 38990048, 459250090, 113048245, 305012308, 470004084, 544426322, 521937044, 626223896, 339654645, 35654721, 669625512, 679733418, 512857064, 599635822, 774362890, 747016601, 939787033, 304356189, 61159262, 205499617, 42001673, 360718450, 719619452, 281089549, 911484458, 533004272, 72386455, 178136088, 642393312, 681808155, 723069963, 887977296, 163133222, 380089394, 148275063, 877008944, 824766232, 714021273, 516302020, 793928247, 481327365, 334567959, 423445627, 806623044, 953655596, 14065101, 371252093, 386139764, 898270893, 517755493, 249149395, 655755150, 519952720, 491777117, 796647443, 404478568, 851005565, 349242215, 973522156, 699618675, 164158207, 134038287, 686754625, 562714158, 79731415, 460347518, 534499456, 743767373, 774702764, 295045999, 455165743, 99120201, 344979336, 944351340, 121307847, 700239121, 371106627, 802510563, 850749961, 214288743, 160938373, 861653320, 451705561, 947571976, 220909594, 425801429, 747743094, 72356034, 265926179, 19199909, 275908414, 749001187, 967114232, 661614699, 334248838, 600158563, 326656177, 967108898, 344242533, 289540119, 902119423, 288790031, 726253927, 783854038, 397864115, 334226459, 611851006, 410117386, 73297332, 652302941, 978439712, 899070495, 143873593, 916563119, 912036141, 551666623, 23809432, 49873486, 322957604, 447387940, 968328567, 693172442, 710939025, 59387796, 406074838, 574527647, 649444778, 967610412, 387340105, 265175917, 558285840, 358861257, 689552937, 635803044, 348262385, 180328739, 946917215, 786487668, 582308299, 633229103, 214061194, 155209472, 381314344, 673018610, 967006291, 963991669, 759351162, 663025199, 672682769, 527509032, 603306862, 159648545, 404879826, 815401195, 698039461, 439353284, 667496857, 59980597, 934601845, 647355926, 194635046, 520329193, 234858707, 696394106, 447099840, 236084788, 741940097, 66071739, 333905813, 311346847, 644537586, 497092124, 347530796, 546018082, 798852350, 573216603, 726528025, 176023366, 404222370, 602390702, 819439551, 912128174, 266327760, 845241323, 591440729, 452414445, 729829912, 265636544, 966213428, 675912053, 44336523, 764380926, 634801842, 321842824, 25799519, 732972498, 463836137, 802604609, 645393705, 622224703, 50769918, 978921986, 952469435, 144685679, 639931826, 363846651, 238431255, 251477467, 800311621, 354068641, 563795406, 766744495, 786539066, 759229923, 862359618, 937907376, 846531304, 281321793, 158533597, 641852703, 956115567, 180758139, 370286763, 641534736, 330244002, 364769202, 189250198, 344523794, 50425702, 888177386, 4144815, 39263721, 767176840, 65062159, 448424742, 816460173, 371906214, 672564225, 491452664, 583906590, 742790472, 317756115, 959378306, 687183102, 93799278, 712677415, 47230610, 870730357, 641841558, 985181744, 207766310, 473377581, 953867832, 873534481, 424054657, 218357420, 489960398, 46376143, 656381227, 491006218, 940258407, 882218991, 639613783, 806211473, 11272344, 511214862, 719160497, 122553512, 343684464, 229783308, 245131914, 922431825, 456315985, 931899094, 987633945, 21981495, 296999037, 226376658, 574518781, 678681355, 949456264, 111447694, 37810589, 773801808, 371488005, 663554740, 198082193, 201913472, 853177769, 526291953, 471622984, 568351086, 114604701, 990067011, 957948439, 185602036, 285814266, 380477347, 450486296, 357716969, 770704096, 527524998, 272263555, 192386529, 668941030, 582376850, 807533510, 232698175, 208225109, 528093328, 380327528, 875957400, 856721425, 567320092, 140167172, 111312331, 882274370, 325844268, 417562397, 691817927, 589295667, 704660467, 692990959, 847093212, 382085392, 133209757, 974308956, 515651534, 53452380, 782181343, 651130190, 481400685, 457202460, 57774375, 200795668, 205520849, 401002981, 135119115, 423036096, 392371803, 745604673, 178348777, 965654400, 471250961, 705076072, 226545755, 131675127, 89118592, 561530346, 111420977, 788480146, 360600984, 880526132, 116720867, 924356194, 852977914, 520401761, 29987231, 654613487, 85333479, 689407513, 848048785, 495212763, 47112295, 764244987, 800364611, 204057160, 715329745, 981606051, 708777512, 961194380, 781562061, 840221360, 349290197, 893482026, 278177817, 511770756, 239578576, 460817467, 295023894, 90130210, 734325785, 738261950, 484410745, 591139251, 207429271, 529137997, 33379445, 696281680, 834729647, 393927454, 366366315, 417485863, 454455727, 926928521, 337967342, 733596178, 646060709, 121941044, 891438943, 162957710, 769451022, 21714015, 463324960, 778643247, 694601077, 517434273, 753491974, 440368241, 291097727, 754324982, 932644380, 945720753, 504573513, 413019921, 490841710, 721854867, 857985960, 439408572, 706554284, 56874718, 784163326, 709811136, 502901492, 322414340, 589037580, 220077169, 770378102, 339387201, 151258623, 489906356, 674983662, 53785518, 687724056, 139509225, 694509727, 573036610, 878352757, 745423666, 484011725, 543265643, 639858284, 973594854, 950219043, 649109976, 505333301, 303045276, 369846903, 490593262, 338808024, 606841703, 576000177, 507407788, 863577833, 594235814, 883340541, 397357863, 665045157, 679057623, 967068678, 153176947, 851949599, 674683131, 70063117, 633892267, 182222343, 380971579, 700754812, 595637943, 643172489, 618581184, 952496533, 24414398, 329468785, 180998970, 217466443, 620173167, 541787068, 972237781, 358904055, 527053260, 999067793, 503568617, 998601816, 763802925, 386345379, 578974443, 933429597, 936742647, 79354351, 281460937, 769146704, 875531807, 309444046, 420210685, 761813642, 787037967, 79337549, 420222635, 827083818, 645862952, 529851802, 916278843, 423443727, 864250716, 241841336, 361692275, 499590268, 547507923, 980789910, 218142558, 506880171, 638398651, 956614798, 317298138, 264511288, 624520946, 355301476, 427990870, 213492919, 407596281, 588052435, 511812170, 733017120, 731074092, 612809753, 163406548, 287945191, 914645414, 233439113, 733240348, 317366568, 690817672, 434229962, 784851770, 488158715, 329812462, 816034479, 235464015, 480986860, 746730495, 326587445, 407587130, 868241354, 999681351, 59638102, 195814973, 634363797, 574665349, 166091056, 825221483, 78310006, 183126816, 476745249, 245740804, 139233000, 522295560, 711498495, 333215572, 341769974, 438648640, 373376152, 412650513, 756060417, 857613200, 846701223, 525834583, 461505844, 595856986, 801443328, 309951105, 434397408, 623691225, 349592507, 566475983, 795818425, 402118701, 5657466, 67644717, 158688772, 22887247, 508006197, 528712867, 224941202, 719170196, 271700379, 622258884, 363608887, 525161922, 852193174, 668876605, 902115121, 805295698, 55310320, 729060417, 788740098, 502207389, 750893446, 856809665, 706138306, 662478671, 306177051, 640975971, 249335681, 854040659, 829705226, 808892414, 922183589, 295534604, 619568649, 854450401, 42383252, 94691042, 800708868, 64452472, 453991593, 698668561, 445605713, 952640987, 331161356, 911367067, 384077272, 618919896, 160460273, 466688497, 414351918, 277457416, 691655079, 19749544, 514923249, 853022799, 28421378, 743744211, 216746387, 530455579, 604647888, 968230516, 812059746, 280398541, 450326125, 997515625, 38187680, 860075686, 798490237, 573855826, 909004489, 795965017, 92672900, 748059561, 809609676, 48689739, 672524606, 564119980, 108453996, 418006412, 450724276, 40330154, 436501271, 389000967, 373478579, 88841076, 755739607, 819459288, 902913483, 113373395, 662459604, 915574506, 75507248, 292384579, 283376087, 757651446, 753681131, 618874345, 486788659, 39565227, 88489282, 897496655, 790011166, 163342846, 136085384, 703279666, 203958469, 447381723, 492508228, 57926236, 821403679, 691171615, 616700588, 968656521, 982016538, 376723780, 847043599, 664005239, 192635347, 52776465, 247493059, 665903753, 742931430, 943059412, 670712571, 13598144, 8217306, 227917131, 65604644, 31374687, 881574637, 285048735, 974393217, 343714759, 775028978, 527276896, 193962226, 256040320, 199187634, 829899111, 475820546, 862592353, 301449265, 833950401, 199710728, 746116482, 446113244, 162017984, 129615795, 933751984, 11710373, 62765247, 268679094, 99536874, 795865484, 136888643, 947914449, 972727350, 860211856, 552368746, 768734683, 729557231, 72064449, 375163558, 147095859, 487777602, 881870701, 125409092, 867021157, 280637408, 253432639, 459285908, 745774645, 39716963, 535710978, 7209648, 289269703, 558376831, 16106495, 272494196, 944920830, 803985197, 101507307, 889720027, 944197228, 315528280, 317487307, 419584353, 280993115, 432280189, 873545048, 329153215, 962173490, 48841565, 495571623, 378990849, 994341021, 660783344, 214313849, 234571679, 362441526, 110995240, 477512643, 738083018, 357572846, 294262074, 718797708, 182209179, 689358608, 551662994, 571938960, 190652147, 545316838, 490025218, 462350500, 101468617, 676340777, 726179527, 607502904, 844000668, 298965525, 590469843, 226155806, 116953820, 116998942, 104122097, 104487899, 65426904, 443051248, 92003332, 68858403, 433582222, 810854467, 50686718, 571737246, 721249322, 921239269, 596430550, 476056155, 982860858, 613212695, 529134997, 505772630, 207285061, 862842968, 486152896, 511646494, 738739230, 13285452, 871331129, 935574581, 804310633, 446656762, 328134742, 299952704, 186526901, 348194917, 133185747, 923294750, 701943823, 855577123, 926918506, 296065438, 413810540, 156194099, 200004471, 803620627, 866255008, 808726777, 415956949, 35572301, 68781066, 985957330, 571580939, 225161957, 925637195, 418495702, 390877191, 573315063, 42792955, 19345702, 166663377, 201138625, 899595907, 102406553, 944624200, 165121507, 180230275, 768230028, 422667792, 408083076, 266942880, 746436764, 335205169, 620804698, 376732397, 707132576, 605264459, 160915341, 364004752, 13413279, 863501822, 84906095, 803838719, 488749085, 208406273, 323722456, 788741897, 878438642, 967153257, 194837067, 526427675, 314262130, 870756031, 512407368, 902616892, 210378769, 54341349, 978695069, 409673816, 551287398, 165554073, 114728939, 645923842, 577877974, 349378738, 73432834, 687380456, 849503538, 553137830, 826515250, 904517968, 364518623, 550871816, 323363347, 41835029, 86624316, 576608778, 79071063, 382485476, 326977285, 187447063, 832459670, 460361731, 426489102, 825638219, 986860155, 907450625, 275778231, 861849673, 482280182, 614614761, 812157048, 410286797, 60533055, 391276014, 50248856, 317996432, 687132674, 748915709, 627169549, 83896975, 673067725, 517702363, 515333953, 3415098, 342455338, 721668145, 799350668, 291778073, 380846052, 850879184, 984229944, 39158197, 664439624, 738520892, 487095366, 972832628, 838126220, 939605256, 963566373, 503360784, 350618864, 526543544, 14644830, 776405763, 756090577, 5621829, 240332637, 463377888, 689375299, 20990444, 100466109, 693520768, 233823440, 769739277, 629215634, 333669999, 320390374, 175653607, 756667350, 31753226, 181549233, 884441976, 892331084, 204481552, 830191988, 518607254, 120525434, 166385263, 544085312, 305125716, 679323232, 537378885, 349752565, 560535169, 988846448, 313857752, 198846908, 346387960, 814657444, 773440278, 562432389, 212772637, 825787427, 979233845, 154018625, 744934448, 341697190, 481708096, 339513709, 504359540, 954733057, 605941971, 305727819, 141315095, 528589138, 594146400, 481660900, 844303256, 876098588, 263045463, 622580836, 987543881, 835027350, 439265193, 964311387, 325700901, 338165073, 350682937, 444994187, 71526298, 74838903, 72988556, 258285919, 106695270, 541692490, 584706032, 430460632, 133375097, 92132590, 60740798, 699253824, 665384925, 231639982, 476571547, 928210072, 283428460, 519482620, 858548699, 687776, 629706538, 54539233, 698310010, 638417603, 351626256, 142324083, 306555781, 448066908, 14419330, 465119255, 955939266, 668222500, 939209854, 416698882, 451295375, 795513769, 242017417, 84828103, 250275598, 269514339, 55045455, 162050485, 432149934, 821864212, 290597998, 694870012, 700735484, 377198510, 204538040, 167977427, 982743118, 578243366, 692949521, 590881254, 97386928, 121343798, 591459487, 579025782, 947828893, 624926048, 584766018, 191554785, 777216386, 980056986, 245863015, 241656510, 429601207, 500903056, 145652227, 162526691, 617892768, 211960034, 129168150, 52231692, 901978433, 584987032, 127825300, 434285309, 755788407, 158430426, 567944956, 192855315, 309858535, 94046680, 492074159, 308580880, 104962590, 974216651, 510491431, 693235649, 35921107, 851661572, 450609080, 423366133, 193784020, 118949063, 427497670, 572715320, 358553594, 539060928, 508342549, 653903459, 867209718, 100012091, 172873070, 87436492, 641043785, 885700856, 144077930, 713416564, 291638948, 263671285, 104814716, 645267868, 31623645, 618227076, 285614954, 445305784, 345112342, 425302521, 315253993, 367560504, 616391687, 93385879, 18106302, 579863032, 76923769, 908311834, 932592222, 367916585, 590030877, 889689025, 51649381, 890262591, 307802705, 803776177, 396774968, 932914272, 308475537, 577215575, 937132313, 893282439, 991031329, 806264143, 295042344, 540523909, 99881343, 434583570, 948086478, 570448833, 831704018, 97330343, 701001346, 765686930, 557016004, 3276074, 112436319, 314572622, 303484619, 792991341, 209755836, 650199331, 475490512, 423327307, 935879083, 241887104, 164765541, 814076486, 789699463, 66928152, 860872568, 849063055, 569772716, 669157053, 574060129, 144219531, 687913062, 716246678, 404115736, 470215592, 298862383, 657194579, 627492385, 302717903, 997852738, 39535240, 303368956, 8476049, 115773266, 509007738, 545538945, 258792745, 183993183, 26841641, 70266556, 387283134, 105600046, 812107995, 201892616, 975675352, 431857244, 615363017, 676548161, 289592291, 291982496, 358763158, 983083883, 591835330, 362386750, 692005681, 195764808, 489456007, 138363188, 855406699, 639455966, 421268944, 673739089, 191376074, 821171149, 536994162, 27242880, 290648097, 399148814, 288148654, 949401053, 560752144, 467367408, 854556514, 898984771, 150141309, 62663322, 627124092, 831073106, 173522410, 604073329, 660919046, 713083857, 962228989, 768885864, 596689567, 84491191, 841034162, 484861819, 543104168, 144159786, 717826243, 463710954, 946455624, 770882640, 513425276, 814912788, 428817912, 67333524, 125460719, 823251164, 668467137, 711556055, 122743415, 719560407, 660337464, 668446244, 558120018, 643249869, 784961237, 961153503, 414920490, 815917631, 381176201, 22002379, 177624486, 328090936, 755290535, 493853820, 296607680, 852855650, 181141453, 257171346, 123083607, 950154918, 733558557, 315859492, 191731695, 713104267, 581517878, 588763379, 407710247, 771345120, 800307399, 737244346, 605976130, 789853668, 540427777, 350566360, 198288959, 167438958, 152433315, 343397166, 452360979, 275421035, 988075415, 376048232, 14553453, 360339468, 11599522, 188918343, 863546404, 723423076, 827012152, 885774126, 798920062, 739356455, 368573783, 181945884, 429724467, 535135683, 702200116, 934603456, 718147890, 480908518, 963600778, 636873648, 432387080, 965122543, 479118773, 543707694, 879506194, 529734768, 182870164, 981558962, 974716137, 513145214, 473918010, 377908440, 784216833, 276285981, 639075369, 530006545, 529408522, 310934743, 651213133, 674572005, 14972950, 489647254, 993577943, 816174305, 577837752, 647243740, 901596664, 337821325, 907284103, 476727089, 121267579, 542318914, 64674771, 844361878, 678625640, 900760316, 777645772, 107081946, 214912322, 190333680, 151576365, 433841038, 41852337, 527356397, 451020079, 298449236, 986508754, 244350520, 75965330, 370610805, 340298059, 804157386, 747113251, 420571981, 766048584, 335922955, 586493714, 467765347, 209914802, 992643952, 194336239, 989062843, 151540952, 703374264, 33436243, 998645728, 933472618, 204181077, 203294559, 958243292, 158454184, 112704627, 162360865, 144858168, 11219716, 611733797, 360812352, 638695871, 748344527, 176606185, 127995846, 711644136, 970790848, 880290, 520737080, 14802214, 328958747, 317367000, 976199007, 439308538, 257083836, 571073631, 170563752, 220696746, 401872378, 155183129, 619948406, 949869706, 309690127, 904243040, 786730226, 119581966, 632592864, 455622088, 619701081, 82270130, 3403280, 635503783, 695987152, 502835031, 343255074, 172864627, 436044040, 825329721, 211093919, 471177523, 747749888, 43211207, 582010423, 188938312, 989339017, 780204515, 940256803, 113212106, 249278578, 281939580, 937152915, 105203407, 629106519, 281828653, 857852801, 199326797, 412402076, 319816897, 719987646, 916952792, 911515639, 896648127, 496630128, 428814725, 100043089, 287543423, 84224179, 73277487, 997407970, 658750817, 701808187, 61274987, 223061343, 290857724, 682073121, 159830738, 724225067, 923392344, 920112685, 749788284, 999517624, 573337638, 555615988, 712072226, 710351580, 160292078, 459349735, 970161399, 207647289, 852648271, 133769707, 691813122, 324791152, 805394002, 267730315, 690013652, 341296316, 848022938, 122496863, 622921341, 618838133, 601809359, 479002298, 17629014, 687212373, 589217013, 68734406, 211169552, 461442185, 756252882, 585311497, 205932086, 222191955, 366310258, 766315767, 989212677, 184949386, 492117076, 185891713, 589520010, 573318345, 347130224, 982181496, 430127483, 303605556, 727280725, 327531525, 151309364, 916418990, 32127305, 373239495, 938005147, 914548942, 293633809, 96855583, 738178797, 646612965, 970662166, 929587951, 560945317, 745776108, 507395116, 105364299, 350333938, 163874432, 309695545, 687991734, 164221759, 50418195, 609248183, 970856871, 624766204, 592256165, 775567664, 245029287, 775941178, 713743658, 20985339, 984884495, 678143259, 960151501, 828387416, 667591587, 671791532, 227746225, 664660056, 264242677, 940783206, 985582228, 187415692, 381627586, 969654789, 903657937, 154869844, 775802543, 774696001, 895525340, 775961002, 731481897, 791440612, 199304961, 858544212, 928098004, 742330249, 620297642, 394661439, 226765385, 365488298, 519039365, 71650774, 611817535, 36919638, 155336296, 292583160, 943150044, 608100326, 984552676, 125428844, 637362066, 639605163, 609464468, 561583133, 870501455, 8054203, 892852442, 654428045, 880482, 814614041, 359769163, 367229115, 607298987, 156801509, 387937093, 979171469, 812966511, 49777957, 406581355, 673560235, 455355089, 710883921, 796325574, 588101685, 701954394, 621205082, 527526420, 762320782, 420756512, 848809205, 968800016, 972278784, 979670915, 674277165, 743415345, 34180043, 446249159, 593909056, 229651433, 671008697, 233820763, 797634701, 733622626, 298341290, 971151496, 656921347, 549064750, 415738707, 399261211, 8715673, 91546605, 787853477, 465999631, 618626307, 79701527, 869266430, 117548369, 82831802, 965172263, 224277235, 35770553, 696353095, 972276108, 175553069, 882318924, 444598737, 531813455, 268980197, 192951565, 239993441, 634087129, 751689896, 822473190, 489395906, 722741069, 63252259, 753726456, 438893336, 914587427, 578225212, 194920978, 289058669, 267151437, 228556647, 904249191, 771636604, 387686416, 729470508, 378916561, 930707196, 443823180, 574973802, 714346625, 277537854, 300180056, 656705636, 730862008, 125853451, 588095764, 920119971, 484214781, 811910574, 757282318, 787335449, 985225903, 529899016, 993271311, 969842032, 390910994, 148976571, 385906962, 839649736, 790809346, 341607322, 293005025, 415151521, 776289020, 919275485, 537902612, 240911117, 262995596, 67480147, 985555335, 921214980, 268958446, 546352035, 50820626, 162413440, 89149474, 795729405, 703625104, 735075479, 42047801, 715615895, 517798495, 41231495, 509001569, 103025441, 170065624, 792095650, 551001852, 884400366, 871421926, 244738280, 904986275, 657130700, 74755928, 844038355, 473077699, 587607565, 63658005, 567557782, 561655606, 232421260, 783645792, 818042541, 47841624, 890494230, 213533201, 337091468, 620507479, 288253178, 484862019, 929066068, 801406447, 965656822, 334810684, 411075839, 995739987, 745368892, 143264184, 200007309, 815246710, 283080260, 78565033, 520098573, 512423934, 804698036, 251324438, 397505231, 62007505, 161309578, 529067927, 982737111, 63413751, 632695702, 170242015, 263419908, 512021064, 525530786, 82570014, 858295157, 884883541, 539114298, 196681928, 406743233, 66964976, 667592480, 78660121, 917946661, 296628182, 989193271, 667325549, 463148849, 820632014, 873549891, 485837326, 697864224, 584087944, 895853629, 423008773, 668495721, 621720503, 170232037, 280788912, 484298334, 192723152, 20640839, 778015589, 786642863, 912874145, 753823122, 938234615, 307523470, 430084898, 394383456, 501743941, 126757665, 815064833, 998285807, 699446347, 295454762, 823848881, 119352567, 895070361, 451833165, 110604359, 883757456, 165432111, 982718510, 677479740, 162447568, 566551955, 512152210, 937615536, 768850697, 562083818, 64865331, 738910941, 989247257, 308200587, 635692634, 35672539, 979966732, 582697918, 224828336, 858634417, 329602688, 953250619, 172662899, 427374187, 594415152, 746527781, 616704998, 753455480, 526309979, 361685041, 998927585, 305315492, 295049433, 374913294, 391371245, 371871074, 91709520, 411272772, 591255394, 573129020, 174085894, 587765856, 738877600, 217747592, 249633190, 772814249, 777933029, 188828614, 287932191, 794337982, 239683449, 22106593, 465274385, 928336546, 159126827, 465148166, 132336925, 810993250, 515187143, 175367011, 279204864, 922245546, 585442406, 456983930, 682814062, 688763681, 923038350, 126592455, 403103929, 673879706, 421360996, 738083155, 808654652, 111173035, 804050219, 351710327, 6650114, 772483288, 791627820, 619800876, 846962011, 988422880, 691147461, 897305234, 475188837, 222690495, 587506865, 182226103, 438517990, 744158205, 725436137, 643978441, 22462736, 349297234, 716989413, 936028930, 293225798, 619035848, 486470501, 265054812, 722400087, 719657702, 561243826, 632890028, 728482494, 592614527, 694838744, 241795547, 287453287, 467956706, 147266668, 51606369, 467762157, 192100089, 397457409, 89383013, 952264019, 505825508, 512787132, 486925989, 11852191, 881322981, 996616140, 642498995, 367283192, 378309710, 493000337, 833416308, 132176480, 96347124, 907140763, 630373160, 583438791, 933937365, 134459317, 756083569, 69682323, 435409358, 952622876, 584798221, 264929198, 741529253, 844639525, 803511406, 76562215, 674561633, 932016794, 653867987, 978027719, 617395733, 182770712, 648063459, 68716849, 163962141, 839387089, 41717636, 983099574, 339512166, 675718378, 46239149, 833945047, 939936995, 103188854, 911034054, 848277452, 756367677, 881883725, 291958951, 185515072, 465508298, 565809603, 641193509, 669251157, 831093785, 472395653, 578964166, 87245804, 599435128, 87892882, 822648652, 747048899, 752906253, 844680639, 662005529, 280932634, 31656978, 669401540, 111504030, 730232174, 849340436, 415840331, 312066634, 539415368, 291117172, 185601161, 640370494, 820077441, 297799327, 766896620, 991611185, 791067222, 750287474, 365817783, 93366515, 611800072, 327972303, 565936771, 966230219, 343149061, 976195696, 788067228, 841363342, 514724669, 942722108, 291822952, 443683170, 772729065, 518308624, 745407718, 730814848, 543236336, 600934459, 743334024, 155310076, 810000986, 141915146, 630946041, 141910466, 261910966, 994225799, 473130729, 897894094, 985107831, 502557044, 47889593, 408780404, 679172150, 654046547, 84834330, 265388432, 700570984, 368269004, 994268687, 103496715, 103752752, 27765388, 448521384, 896917140, 412648771, 92830922, 991836019, 752765323, 655219085, 150841473, 139142450, 719633743, 73663777, 872140779, 989060922, 308246754, 361163372, 463375164, 36869068, 497734837, 918279385, 966663343, 400190947, 829939329, 410325756, 510042500, 816360557, 523865982, 214201112, 910712884, 648528192, 863623847, 540470249, 139764597, 729108395, 908335106, 542500820, 184858420, 785178867, 80774172, 97988850, 573527913, 797247265, 703891684, 214613635, 26241811, 908422276, 661895730, 914490792, 764149451, 205072192, 163364341, 480401747, 742605543, 456630320, 864675966, 262035135, 339874929, 152105747, 679792434, 879308424, 867832566, 833346862, 43680313, 211813497, 535855142, 665541460, 202750346, 570077765, 529209562, 646493598, 180016312, 81332123, 822339905, 66386160, 630457309, 522863168, 989217971, 690480371, 138613851, 963392165, 745645412, 122026458, 907883042, 130643538, 678539411, 907734277, 828140541, 150614908, 917722135, 927284102, 216160246, 911765241, 938623977, 557007236, 680246392, 465121822, 984379431, 826163238, 651398034, 828057408, 137533965, 867141882, 234458103, 585292046, 297811700, 553205963, 943740380, 66806084, 795623175, 783171704, 658336483, 825879862, 885166675, 107956989, 853394189, 672116110, 310078773, 148910275, 472014403, 125306352, 847686569, 165688801, 814418028, 363102171, 923443946, 565984560, 841426564, 75842904, 910322810, 172382651, 645740023, 702458635, 913987062, 308033109, 955162441, 347287800, 498454021, 331159224, 492142815, 727318556, 198003685, 52641178, 631663931, 339830307, 321917869, 135882209, 525394405, 889154983, 165136223, 518201575, 395040447, 792788527, 989232247, 110884291, 360347893, 305362482, 400425846, 462197560, 475832418, 618949391, 420406777, 171728123, 514754411, 565942818, 252186378, 864243663, 739103650, 668629628, 884600870, 756970637, 44679581, 489514805, 741822758, 274976077, 562209816, 843362382, 939723823, 440994318, 127931341, 87746840, 862969363, 615787653, 186484142, 597387329, 848434330, 803796983, 975117807, 802927869, 180624217, 894986548, 605079336, 955044247, 816631921, 216094178, 729568914, 939979623, 137337798, 8327164, 462845226, 727145345, 709232617, 297554595, 459232799, 346565155, 316085533, 322121627, 76430431, 808934278, 143247719, 241274008, 299978880, 778275665, 342367482, 976025990, 530849868, 421220401, 847773028, 885935807, 578923463, 936697619, 185817342, 418749201, 119149074, 229143491, 975947398, 819853562, 770194242, 745467516, 854211176, 137864901, 828102534, 921170012, 823869361, 348286015, 159257234, 991489646, 17382860, 785087485, 101123299, 727510197, 366534301, 124921766, 598480980, 334913704, 501133245, 600478007, 763920920, 428045662, 474787286, 383150894, 181143009, 788443943, 46616819, 883227871, 853531864, 114403766, 920460168, 313145473, 938209699, 838538158, 460379823, 829985017, 70073780, 290491377, 774333906, 274785999, 943429616, 574109157, 755511452, 901126176, 137160821, 686386353, 938845252, 883861836, 15190593, 473097016, 301852620, 570496027, 570283302, 187548266, 460267414, 29933182, 647460922, 28821394, 360778722, 819672810, 543525111, 910676721, 443813933, 642996959, 204408585, 886151017, 41451313, 324137796, 231278608, 876864481, 624433521, 66293080, 80511917, 566656297, 839373954, 954304751, 671611172, 549738572, 360306729, 540311893, 639259678, 592443276, 788283957, 814836960, 725547846, 765495963, 975700394, 596368917, 43709601, 124655947, 801094676, 682497302, 35189000, 11153274, 296277298, 918809572, 257354952, 381932697, 299553461, 672177621, 808590741, 937190246, 335592232, 270645083, 135677221, 489004021, 820050804, 65425260, 118077164, 159418700, 768478013, 342236789, 309345838, 596626076, 874943133, 882704165, 670010458, 182706626, 480269861, 850692173, 818189756, 23464531, 854718813, 460039879, 412190936, 472392873, 972589311, 444438162, 500338579, 476555835, 238876072, 425314402, 207260205, 643555040, 108931990, 216716758, 452598594, 570291371, 508531017, 642040951, 888816903, 523004509, 315845464, 864123976, 18404426, 946314163, 510494920, 526563622, 202108526, 655004836, 660800208, 848478215, 64149194, 309443931, 316175249, 551032056, 916500380, 101962175, 905383886, 118560752, 781347868, 369400534, 68346830, 70867211, 611848558, 880254642, 345715219, 586138729, 85457883, 613969176, 790498883, 335036360, 6894546, 797947581, 862895005, 787839107, 630029172, 567139842, 905470726, 437061701, 909646124, 210948163, 114490249, 366494921, 540051544, 806886078, 295369099, 587591573, 558260585, 290444833, 327926970, 298281030, 765906211, 133916402, 549275314, 589341553, 480875174, 577625053, 819726796, 328500754, 572321177, 813895947, 634094376, 334198472, 238715780, 648165722, 33906048, 82458079, 528591457, 243025744, 378317845, 727577661, 784612248, 382577287, 139804178, 537823007, 967535759, 531561470, 816356271, 581404099, 741464621, 738854903, 439811749, 929351230, 107845579, 563369619, 993449214, 47159361, 407789726, 897746161, 905484730, 261319298, 715053097, 826649347, 568668220, 369457222, 369041502, 749481970, 516683697, 497557503, 193437954, 469248010, 179977283, 247560999, 718390080, 963495894, 658361398, 406108768, 165275618, 76532795, 95818225, 488993099, 811242196, 893982460, 780534030, 96141828, 924561312, 50242261, 184739086, 657603844, 435428199, 860409633, 649213634, 499563045, 174033612, 7491711, 532074672, 34702728, 294100318, 632856128, 347794924, 471411287, 519734622, 952060175, 539637480, 993612578, 190406846, 511177791, 266897534, 145766803, 464885210, 977827425, 308566292, 427600152, 864260002, 797683379, 47502557, 131529711, 827229417, 638380864, 888400362, 23274326, 92603492, 233692987, 645392766, 593117815, 589699825, 62808513, 127038842, 350541901, 378046962, 839506064, 562431634, 164922012, 463419844, 146937336, 693654966, 441833486, 549814391, 528404387, 596257193, 758688029, 110896696, 938456135, 502428404, 915075257, 425620493, 621462350, 434334727, 35243281, 452168455, 953120157, 70923908, 782120189, 85535493, 530186181, 389098157, 179344431, 966997194, 960601909, 86333721, 128574828, 554147840, 436754621, 867951473, 580201550, 360255979, 965468005, 56218697, 106116502, 582437523, 810060481, 182639617, 339844828, 555211350, 410092935, 542665280, 621154374, 204120086, 195324365, 995572939, 698813167, 257638199, 668651409, 872047043, 341256534, 973473467, 294804034, 329037452, 286860449, 336962753, 811468376, 901581251, 579255890, 509230790, 682270434, 628468941, 61495011, 34050000, 414428041, 139160866, 302785678, 571825081, 326321390, 482212678, 960348540, 455190000, 294418410, 518297338, 247697470, 294206896, 800896173, 302677183, 644100037, 876875215, 939844649, 502495183, 872841926, 202083686, 294313489, 156807668, 280513485, 901244875, 760909276, 725124902, 813314027, 715850259, 74006837, 361972084, 520609105, 359820979, 824493829, 328445918, 584177761, 159012921, 352305060, 896478086, 475633475, 304493335, 913758601, 446117899, 494945142, 895343205, 82516896, 932260257, 942105422, 873611446, 27524600, 122670318, 716760417, 464187166, 370268984, 289931405, 28756516, 270174466, 238387513, 924938806, 436744366, 342135581, 28879383, 870907274, 859641509, 808715491, 35106193, 186153294, 956784444, 995914013, 765569618, 455772490, 700143713, 947208672, 257265899, 849701208, 312566113, 164205858, 114091718, 684997944, 70533514, 531028204, 961136534, 728970987, 890206207, 129293936, 95389808, 781693367, 454883952, 710223544, 518373966, 480229769, 267240229, 362614175, 446299409, 568065573, 95346595, 528178264, 1291923, 592009060, 59179195, 646051156, 545331734, 494673899, 160274249, 85498709, 118240780, 269871016, 653903771, 523622215, 367531664, 519416545, 843364152, 504638884, 738526629, 100695194, 496826964, 982089755, 76340216, 131973353, 516274186, 779337428, 853143868, 670032112, 864305971, 385364479, 274930716, 633947620, 978104979, 118922662, 306332493, 393807213, 187636415, 623213878, 868468009, 482143947, 850367139, 522853201, 280284654, 101634180, 527120129, 4549461, 890272424, 788562723, 739735212, 684611011, 840079918, 355588443, 643719263, 396745068, 968265504, 618285051, 876135499, 664300116, 342449443, 534301989, 247963724, 539371908, 714530057, 359688391, 902594931, 133325284, 936223312, 156802711, 715059021, 960178024, 705084398, 543084579, 162965667, 874072824, 407978063, 11561802, 440682471, 38812654, 520388324, 474048715, 580286378, 812139788, 952532178, 525550971, 384931581, 986271088, 328380257, 999738381, 31005236, 736671541, 262278191, 405540851, 340696013, 186731802, 979158159, 872088368, 104964325, 895153383, 121269370, 741922740, 30597026, 910799658, 107817022, 910408277, 253615044, 886396186, 361283176, 85763046, 358306517, 26758423, 111886455, 804527739, 206840417, 47770196, 891751599, 356871209, 232121380, 869919914, 330066129, 797259525, 651693899, 20283492, 434294301, 163018732, 550870589, 991826608, 580703453, 111792206, 661498669, 280981097, 391178121, 347293096, 646933117, 95999707, 891715552, 99417314, 91837477, 252989986, 73453236, 87943888, 265557858, 192235163, 277336567, 913082133, 276450995, 786058331, 549033843, 951395768, 533513865, 977038250, 793918457, 892952653, 956854730, 316873565, 934824343, 110076010, 596612890, 787477170, 469830019, 757773729, 228202979, 999674341, 945847093, 317083521, 763054293, 476843021, 565136204, 752725513, 131442259, 55841256, 952791017, 526120402, 534963409, 66968883, 129812730, 816463381, 565316871, 550258841, 383980447, 531404709, 724180743, 704521640, 426794250, 675820837, 749213218, 69224414, 450245997, 550091741, 941610659, 63283199, 525332926, 739961514, 54033010, 322675714, 963285467, 949633690, 49849559, 758504280, 221457807, 768055841, 78952, 609148656, 813664607, 596483587, 404810798, 720290289, 786235618, 813286999, 402708411, 169632774, 280267258, 963002291, 243244597, 705622014, 429751051, 387334942, 757309543, 605403867, 60477197, 458001665, 307322027, 169317163, 559122424, 186393211, 735574934, 733024988, 797914662, 293680054, 146491107, 3156954, 979803348, 443844508, 170276183, 179872928, 388180496, 838305013, 814090296, 673701302, 782172380, 523627105, 718077964, 747359532, 647577715, 179178052, 868358682, 21863375, 458355337, 342948189, 441237832, 522641077, 976301435, 821710967, 284233557, 825792020, 826397844, 702130772, 644801759, 413485033, 263898504, 755641895, 408786017, 929870018, 869295526, 548647377, 141252014, 45212434, 649733110, 9643896, 337970446, 209219154, 67100797, 917206877, 477223611, 331651686, 774729915, 145958493, 442833209, 640098219, 506734095, 379345531, 78935328, 682940272, 830469704, 820696369, 538923430, 573502341, 351156261, 652141593, 165990857, 549928150, 482843596, 275750927, 351359463, 966972212, 945939711, 726554882, 752820529, 793776758, 434865670, 337547563, 958184665, 364455570, 23256196, 463383230, 609220234, 495886183, 573396425, 461668855, 593440880, 652510688, 594251265, 264318456, 780878971, 625987392, 715177281, 164000967, 969564025, 649339803, 273925492, 764359901, 183532143, 101698513, 734990030, 575570737, 971285903, 216066517, 961124793, 243237637, 186644931, 886376324, 391046321, 581271089, 522450345, 968352867, 957501179, 550453339, 886037438, 521817146, 677705816, 192436438, 785386488, 732137319, 378913442, 916520908, 295983308, 807728818, 995899585, 130889560, 541583091, 25219977, 934367369, 261653931, 355246489, 361969281, 738660955, 811445277, 380148554, 491220723, 582781742, 104347943, 819130118, 91299224, 181361348, 389337060, 752482331, 144402387, 687967566, 838838892, 710430613, 773916894, 614535992, 960028876, 992899086, 724343501, 832208894, 338823417, 995269928, 541904159, 428197668, 477033774, 548275635, 7439478, 464309657, 485953955, 977315311, 341922314, 617938889, 173176336, 523247851, 304456520, 611142784, 340540475, 76092957, 648459887, 350747816, 568087380, 150947528, 405733, 736947022, 959679520, 26680780, 659505662, 694615749, 22929321, 836791276, 157345328, 692597716, 243515892, 778269055, 770173486, 518205661, 442182740, 110761531, 428691890, 699360044, 177175689, 360665345, 417591978, 913244089, 479478136, 432035697, 454028437, 789446331, 516282680, 837731046, 455657900, 806839282, 735151314, 57364557, 872428843, 778690997, 899501946, 557230097, 744002539, 5867574, 250669153, 456613856, 6110401, 581799263, 905113646, 213879014, 843053643, 651360350, 574142214, 862710936, 860504897, 194852126, 311844477, 587623097, 463801901, 95753776, 989328550, 435184109, 149061279, 107461418, 792202885, 927566802, 271430090, 874882875, 45170985, 73542215, 600380059, 362925966, 989644723, 291326752, 720975539, 555817799, 847285083, 648954953, 476681068, 50124769, 240124557, 431629633, 140425708, 66703104, 314120290, 870139671, 420096557, 610075888, 834619643, 736543219, 737809294, 779024669, 85877610, 880658665, 737526783, 8812646, 782592746, 906445909, 997218352, 760664729, 560541542, 300191672, 852037978, 943721857, 463619515, 940624222, 811639972, 595486652, 820527349, 759431790, 890396910, 162869292, 62501089, 248526420, 199900456, 865254089, 812745885, 207413809, 618960887, 814413065, 241457268, 662675420, 629295760, 933264523, 567363940, 924216294, 848360804, 634221806, 956184686, 421516853, 232841040, 706290070, 66051373, 961043539, 950072155, 915747569, 670972694, 91138629, 190322772, 893817265, 178479473, 649244290, 140388340, 350404694, 288335401, 661102973, 670940349, 854707119, 568241982, 246871872, 286674141, 839843314, 652119020, 764563149, 927811448, 15469822, 204742171, 474614927, 682070774, 84614990, 80044928, 104325347, 24033290, 783768589, 174258296, 444066918, 960598056, 57760858, 702547674, 256972327, 666099918, 824075749, 4736060, 134358536, 284372830, 159659395, 582802654, 647490747, 462858399, 35181096, 502169647, 932614492, 888937592, 494179709, 230380784, 37733002, 745113520, 664095590, 451099985, 843509169, 120543471, 458237819, 448189759, 911310046, 794719253, 424905628, 827495185, 996873791, 890650456, 789860743, 111642020, 555870249, 919276131, 22252396, 512343597, 421690023, 375897119, 828736809, 566530464, 202684677, 88222714, 250011967, 391643778, 991330792, 41408746, 305238594, 150493233, 247866585, 673860357, 79823370, 245432005, 881832008, 850883458, 830983785, 850983797, 57234042, 297918921, 44940715, 252349328, 945636395, 827975081, 763264697, 776395186, 385758015, 272273129, 39750122, 303479494, 552649155, 809890423, 363609102, 618368568, 35381079, 44046245, 12986845, 954994209, 763646831, 257602798, 259317827, 350683338, 640090562, 136292912, 192874530, 920689007, 21367914, 453798042, 493041794, 386333896, 291276733, 526330320, 357542923, 169972274, 620812953, 746913722, 91479411, 266669734, 673070267, 572382954, 541736757, 28104800, 557714243, 352090361, 944250291, 352260227, 528087494, 963763490, 78921712, 820492392, 42548081, 801765177, 47123079, 595366727, 410398705, 945981823, 205114741, 55112944, 877618137, 817984893, 461331834, 523410302, 993951198, 116004076, 653394205, 816783643, 362185641, 889768011, 331590658, 542784338, 532759646, 323955177, 501281526, 902728159, 51814549, 90442028, 214853916, 473330212, 225845861, 920628175, 848971753, 602442257, 908615141, 498827137, 235210900, 833706874, 192725867, 26286119, 866722050, 500156731, 311678026, 223761813, 471351416, 400771762, 12017270, 973258072, 327318740, 426779662, 659952482, 103359803, 792674661, 600073613, 862227844, 820576790, 126753371, 885387378, 122391957, 269327767, 136773745, 160491014, 298705187, 299179167, 120012048, 931916058, 20416707, 579782570, 656913063, 91740508, 622684038, 702537400, 703805374, 210640811, 322409481, 295676105, 678377098, 362530208, 592052759, 662558224, 80563500, 436574251, 611567365, 162273698, 539992018, 210599797, 496489148, 830134736, 949964983, 420100294, 680040757, 150620889, 398279347, 370523034, 48300745, 426155623, 424898623, 89068123, 756675008, 16965951, 930378997, 285606283, 921225575, 718841310, 661772146, 921707085, 976661523, 534234329, 149399647, 656368820, 423616308, 274458341, 197734111, 570771768, 963190265, 69496940, 745476119, 909130001, 666000796, 804705344, 287504765, 503045462, 338322422, 121844196, 726784995, 138268587, 700774149, 758819304, 105516379, 816914990, 974109827, 898876342, 630428917, 764271763, 716783593, 969279276, 708243559, 651495878, 518815144, 299105731, 802193778, 441717553, 38379260, 583130611, 340820762, 509549677, 936352113, 522625567, 89928886, 596337906, 938366507, 463192380, 437738163, 621503976, 664446711, 252531301, 130632882, 383121227, 709724063, 194184674, 850908440, 309636512, 801914853, 737814835, 574693004, 730659104, 200917505, 562080860, 500715478, 967573449, 845013539, 672605952, 510785426, 652314550, 683743942, 830004647, 524972261, 856871615, 504340201, 63979382, 233620794, 430161289, 94358732, 459612919, 383366346, 394288718, 495561747, 772623828, 805527817, 758147088, 567895718, 634874546, 982071924, 641869806, 623278354, 617180334, 52361714, 126974831, 196159188, 669814914, 333244598, 771370686, 177201473, 336292905, 561791701, 831813049, 63899716, 859173132, 213230547, 148459037, 380215895, 703525855, 249865967, 259113041, 289968118, 90373186, 438446592, 657090042, 670455848, 246500124, 445530645, 844869571, 733171539, 307705387, 220174719, 335066228, 370277409, 289702154, 729625141, 17704736, 661340902, 695904849, 557805875, 157098501, 884312164, 341619623, 371998503, 613554165, 384857845, 287637594, 659403241, 74864472, 577165101, 565464909, 327365984, 339839445, 610038390, 143955677, 90377764, 644731247, 364811224, 943718358, 235833005, 118712852, 243023652, 410371069, 635654576, 358569837, 943947399, 214301860, 57253984, 34350982, 777276178, 386876655, 849063287, 923783364, 270737117, 915310840, 58911434, 475000010, 644462533, 892699146, 508090359, 896206002, 713087186, 13664997, 725473707, 50909854, 436134936, 117566580, 197312727, 178627643, 393704984, 134512176, 961805790, 867803606, 702836183, 801437255, 989427222, 875558822, 534712567, 253165713, 207107955, 880567951, 44179710, 72056699, 964600290, 522780145, 420036283, 890292800, 595586233, 750375987, 288600442, 284029005, 493857100, 605995932, 654059368, 297719006, 374733586, 187429082, 760692473, 712443961, 176104858, 202348886, 32352723, 134858890, 906341325, 930467263, 411161275, 10195870, 775881437, 566463267, 361044867, 425881910, 988991761, 287154304, 819979413, 582126486, 316136298, 137096140, 936922780, 218876650, 109980738, 985052385, 607452587, 734165749, 752733246, 398522967, 786273727, 69397306, 72812288, 895252706, 515424095, 882036375, 573022750, 334908288, 75981620, 628420888, 248007484, 7174919, 867721212, 514137039, 155993929, 971821444, 396133596, 123819302, 163015600, 990209396, 323232656, 982358663, 685899015, 895415395, 197408460, 414358947, 169004403, 34014811, 462324393, 599038198, 890668595, 367113772, 974766450, 568461276, 796454245, 586943216, 367103516, 626319661, 614729138, 147753299, 238145955, 889097953, 854453623, 778154426, 786767251, 773471596, 551647712, 141590655, 159127527, 60797777, 37451973, 192709904, 573336817, 589289795, 706999463, 106282598, 706002060, 91056070, 901574420, 568572092, 601411645, 837255289, 90887852, 177676670, 526030518, 73691212, 751999060, 48568338, 420706590, 212637118, 805571164, 897701516, 830836202, 469837698, 425995960, 782482940, 645975186, 651066400, 161527345, 500452280, 951653093, 940658873, 415165722, 817354777, 224449310, 808255707, 593819367, 443134796, 742497025, 410929604, 376355492, 75837200, 555443363, 540367299, 977831791, 526286419, 334791932, 556384876, 27536657, 92655717, 657023306, 252147017, 740226187, 514918463, 816373328, 839565735, 784335017, 172108662, 136187710, 517512236, 435488945, 694461186, 958002764, 244885579, 435106604, 935373804, 881363415, 559695653, 470567921, 81461616, 798192404, 546235972, 315626141, 21976282, 691455156, 486495442, 942928553, 310400930, 5653271, 844160567, 488235273, 733991435, 821405638, 956544390, 385184366, 100757524, 319753327, 469356818, 313196048, 302299854, 350752150, 90530624, 896495737, 150470130, 282921633, 712424094, 27482817, 651715430, 747784774, 898213951, 107769372, 768651942, 867557953, 514277345, 913752651, 625580715, 221676775, 358663140, 842659425, 135192309, 764965914, 145672262, 521534759, 602542169, 356093075, 730057977, 803419164, 417896436, 199373010, 477373350, 826430633, 756502840, 250813115, 290998356, 5417690, 565182164, 604403927, 868805386, 199274916, 181911438, 820944427, 162719958, 848841587, 561054964, 24339551, 290502108, 297901471, 481454262, 45212521, 825112537, 593781811, 523544215, 142749794, 552717622, 256843677, 621417660, 557858185, 890144461, 659661127, 125152198, 542622920, 255238115, 681695151, 481546742, 616978502, 453298950, 946542255, 107204059, 356781849, 855734935, 959459351, 514898411, 862198954, 871495762, 84020246, 359489789, 484857832, 608184852, 692288913, 89798918, 377305743, 339366523, 330794462, 318195301, 849228059, 674111526, 211368866, 232999618, 834308456, 455897882, 597852114, 128369200, 164423058, 597123795, 392536287, 257420267, 989981255, 976824726, 16183407, 779525840, 33974220, 533381181, 630212105, 678568426, 535894892, 555224135, 426711387, 702580863, 976683782, 96079480, 806251719, 102204861, 266098146, 430245989, 617405607, 862245500, 84203150, 547136277, 965699617, 219049808, 121807159, 648067593, 386097415, 601226862, 368195000, 358344766, 437837874, 921630662, 796519651, 205314078, 353994865, 222716205, 219089891, 109132944, 922004157, 454599427, 357489621, 130002999, 896427584, 714933375, 56324321, 400451506, 909319734, 290800887, 431675653, 638061876, 57772072, 533044713, 55323636, 842123102, 352674403, 430186949, 21524824, 890779416, 401787381, 606393126, 823174271, 557396635, 61483451, 411624100, 954483194, 576402176, 912702140, 734174710, 987912638, 214581402, 758274325, 45648672, 74801233, 412702785, 663358751, 251597224, 426832476, 798081489, 33494873, 576713184, 172101800, 164578158, 563216298, 571317114, 961363299, 430588028, 318196230, 683145173, 129770808, 295154498, 87347697, 244159504, 812917048, 342162769, 429463796, 358713897, 181295656, 921798722, 450248331, 995972022, 141351063, 340845404, 280830113, 584530589, 330916510, 718113352, 929157555, 181207992, 122822851, 47742326, 77943556, 387028879, 373329656, 517338077, 537623440, 511276751, 117775461, 337927495, 78888945, 215990677, 99483279, 883430627, 158705361, 740969484, 327343218, 877896124, 799511104, 862636883, 595282210, 110466900, 626463624, 512353718, 195753305, 712507618, 996663971, 646665, 779508573, 351728046, 869447169, 422052491, 472707603, 95228722, 551605759, 955939010, 157730458, 680206093, 842654804, 826393720, 426408693, 636308385, 852033002, 235678009, 45259380, 640687129, 178637043, 924014191, 807625131, 426712716, 364753700, 579809411, 976138248, 891657834, 921137055, 130576800, 903123982, 650036293, 903507605, 596068733, 474865278, 128516336, 740309843, 539757434, 789005829, 377587157, 553317040, 75112155, 943968968, 119479100, 612475954, 567897383, 309050712, 291973921, 936845672, 303959925, 225565079, 925005464, 854528097, 217689340, 146877116, 49442970, 837847733, 296987327, 904147245, 153062488, 764010658, 663692797, 276196316, 529240166, 851548850, 920497040, 641526591, 379624661, 546003581, 497634655, 163689269, 405279586, 197584682, 939204331, 151720985, 546256737, 94413475, 290585074, 569424962, 957028704, 997568876, 589983691, 584105286, 753127018, 605533577, 950445818, 834572685, 431675047, 970478675, 687746629, 507327511, 18452557, 536366664, 754118544, 237267900, 654978478, 13838835, 244578048, 884471055, 203015558, 271372858, 673543212, 178286511, 306572909, 459538475, 413204668, 737958562, 319967514, 999021712, 224650187, 35003195, 966571389, 554005951, 468429379, 970960400, 682156084, 385474279, 137372066, 839092589, 99126975, 963018112, 180957208, 189900947, 412274457, 451783090, 553975046, 859524523, 953896118, 900143271, 917848007, 287532891, 784289763, 958363870, 664608062, 118374848, 317152495, 351740393, 827395237, 700792542, 446907307, 299723018, 873437960, 516131021, 389614130, 139563966, 917804150, 584804658, 350889800, 905482036, 620458616, 606657331, 387729882, 455721617, 347835505, 278313017, 503979436, 542061033, 578298115, 792304247, 826786737, 305332589, 460929376, 772739780, 512281994, 835407134, 714460566, 482462322, 399422027, 545359767, 635674519, 446355187, 103492366, 712428184, 438804156, 377829727, 739177451, 579704901, 424833658, 657598936, 468121624, 904967184, 897201222, 543927510, 104846010, 274867483, 898591215, 701316124, 908544450, 265598042, 579787761, 83830880, 264355224, 684501860, 842775392, 49687298, 266313904, 189295820, 198074920, 55458857, 6166828, 942787199, 305152900, 991057298, 101575342, 124518065, 539838956, 445099317, 841519927, 239838023, 292987505, 109134639, 119754068, 785504633, 537394773, 578215282, 147109340, 757602719, 619200634, 809601210, 827890893, 51736323, 501706680, 595433338, 134448616, 285542324, 901582795, 754597379, 276323983, 619176329, 721710648, 504217527, 266140030, 16219642, 859286805, 461379043, 638570672, 62008281, 911107517, 746820714, 487309294, 238770406, 551908901, 428615685, 505179165, 740402887, 260325760, 4877352, 411197156, 809923075, 388666218, 773837478, 203595774, 820423431, 457272944, 772466114, 740451151, 668119569, 25373409, 279327102, 96221137, 428085903, 912487524, 409737668, 899156150, 427904672, 205607956, 347231892, 386910263, 122340623, 590439989, 159304955, 18744610, 73338089, 707797567, 864713326, 324832556, 560795180, 182649391, 439546282, 42394625, 410453139, 917138890, 607680131, 673929602, 67925577, 533824907, 509102790, 569032296, 594789918, 431282772, 44344020, 691479111, 58460153, 586039077, 479700811, 712635638, 689588036, 113918559, 675107950, 51799869, 753040919, 694994237, 991209080, 33182102, 553269350, 40698320, 861019683, 852150717, 91594167, 152068570, 536288683, 250048507, 54206960, 235010014, 343087511, 384029973, 158841523, 494901156, 950570137, 923302532, 101245139, 143960381, 15598882, 112151081, 893401773, 991374791, 236611884, 100734158, 202215955, 71701359, 717220900, 801273540, 979771466, 784826808, 328632536, 172008993, 294232753, 505571704, 435447562, 15281404, 267032859, 408068448, 898827230, 245671572, 537192365, 238789435, 315841205, 667589770, 463592931, 216399183, 733480692, 912573870, 87494950, 782895604, 34782290, 766088252, 99884336, 460698144, 237957906, 942535021, 555331690, 650077551, 108163106, 679307559, 92197630, 52939010, 893334394, 457047155, 729106809, 349333725, 41666833, 977942323, 23281731, 119624745, 383948542, 486852263, 698308260, 721857298, 691205029, 737609265, 735298475, 528914158, 146590079, 898229952, 596721058, 462583789, 562755105, 185938975, 74974779, 761024378, 484938884, 690029858, 200583897, 129536652, 400412666, 17548175, 82962620, 652453255, 386510575, 635018105, 472983562, 262607671, 437670038, 488834164, 430202673, 796709652, 320756950, 539353024, 481616754, 295149392, 898001944, 556781367, 977038956, 971204406, 971819521, 228156155, 304984587, 562772758, 561751097, 579030652, 886333110, 135960962, 457818916, 946067384, 802217912, 901775033, 870436702, 944755397, 911497471, 872006660, 977849795, 211853165, 759389394, 826362376, 564702334, 997346680, 28091461, 896490626, 721637032, 727686400, 597596027, 106575071, 227353954, 436807996, 216883506, 16602193, 107594004, 717085470, 401943385, 521045022, 329755603, 478400453, 900777445, 408567351, 461645448, 736741871, 688094870, 392445212, 15818091, 693485761, 457199866, 525852815, 663446086, 350230710, 564614568, 365258695, 899570096, 115268466, 23373446, 626889257, 201029688, 593809151, 209296821, 683546724, 441806798, 582735427, 165503059, 349432491, 608113963, 89155276, 257223972, 755937619, 468146834, 891130879, 559848680, 955256365, 150212743, 21154654, 216393473, 869870712, 966971649, 396036872, 438882199, 893253880, 482080474, 76599947, 101981691, 659819252, 344288228, 721577009, 346141186, 440718144, 407091806, 72045011, 140794953, 880697540, 256101396, 642662248, 158194623, 20612763, 698149151, 546523393, 874622556, 635222706, 103282462, 687419952, 882110875, 806343064, 612266978, 710727961, 770874736, 368495772, 519432461, 86654972, 46785081, 439118124, 920832414, 766086435, 447461948, 530187780, 74909762, 308043233, 849135533, 796908853, 6323464, 559074788, 691184827, 293058240, 342539438, 515392013, 488280208, 623640736, 758577556, 416272876, 283474230, 910095262, 929491934, 184520088, 208161803, 204629480, 165987074, 674268174, 621189703, 683606313, 763604799, 226362846, 340851572, 376571778, 908678652, 369595320, 900325672, 705661273, 938912948, 118356004, 929837725, 758953876, 66278946, 840143475, 210952242, 857135585, 699442904, 808165584, 938504473, 136747162, 267249571, 706924604, 296687760, 233265805, 981964657, 148543900, 381375761, 230715307, 410841166, 377216305, 999789369, 217273654, 716495945, 340219124, 230141735, 512629758, 32357747, 262593821, 975059713, 180030216, 405249407, 513771015, 937175650, 703168319, 998890301, 378410994, 857719646, 750016659, 538146897, 225215924, 194754525, 26258728, 245447389, 116796966, 898987005, 958010284, 884606825, 507535540, 489999347, 828935709, 960147880, 958648865, 464544031, 406621312, 465527401, 485198896, 782633052, 93087183, 109289781, 955500397, 999755483, 833005358, 667716067, 448922765, 44764417, 203607173, 857845112, 793446701, 358337580, 240182411, 782819757, 343979028, 893708724, 697901240, 246029911, 260383119, 379189923, 818384565, 415951250, 55403024, 236642534, 54823685, 155390452, 550484091, 624952657, 712330874, 584798868, 228583555, 117443477, 300636603, 348890374, 416788883, 912690717, 182564016, 85290950, 873050419, 398819276, 413087506, 242535092, 441270677, 386370044, 696486353, 720359720, 669547559, 963768256, 966240073, 393329426, 247596250, 973814410, 885969580, 828819050, 567825625, 410886077, 112813902, 251799792, 951988654, 429995443, 238623691, 157714089, 31447113, 207379949, 649002330, 88228111, 887378173, 607379317, 947511678, 708498959, 909253999, 373000307, 395690593, 45845243, 401259589, 728897942, 551430643, 441158562, 9200341, 846711300, 56291451, 316791712, 487255503, 641642951, 889293416, 785675596, 622042303, 86822783, 917440762, 197325066, 66827378, 270834818, 745991675, 859533063, 30763454, 62095, 529704270, 105941722, 472299220, 323609475, 193229246, 427082773, 283848347, 191256301, 679648175, 438679558, 770732853, 640230364, 876454231, 235456366, 255315707, 904319221, 488003281, 67858703, 259321435, 735359273, 289682554, 888188298, 584688986, 225851567, 602224235, 929910643, 586679626, 928061902, 539488199, 283326031, 965546997, 263566560, 676866109, 412755728, 758880039, 613923282, 934063939, 263430447, 834612593, 969959186, 742476002, 615589416, 383558844, 880925460, 882383516, 59925124, 104205219, 775225428, 416746997, 735277108, 271619777, 674436142, 592381611, 71330641, 792241845, 689292205, 620379965, 33345764, 252546858, 183450512, 752029187, 241280944, 851116215, 717641063, 114026138, 485029718, 779096649, 94350877, 787837955, 95255325, 725020300, 178165834, 214319446, 803159344, 214107983, 715747044, 131816814, 285216684, 900495267, 24146378, 371296669, 643959343, 421926689, 235956539, 206748906, 745614880, 33369137, 617632536, 546254540, 359629228, 326927098, 485812582, 788106513, 997798432, 301945763, 966225600, 585200655, 822980154, 377425965, 844613217, 200437936, 382608522, 64996884, 937548873, 552215435, 702498824, 157354919, 838534248, 697868072, 385948967, 930892893, 219853330, 867057840, 613945514, 30684315, 305725687, 422059725, 242321075, 465075024, 999846841, 664555292, 648502311, 53801982, 748490547, 514024335, 904117450, 966725932, 717682132, 920183672, 161417118, 64951783, 623727051, 350962176, 281206876, 700523985, 657587940, 809920521, 910058814, 369952417, 281894198, 160930676, 318255747, 387022658, 316020674, 47698111, 701168524, 129971438, 499036590, 235173190, 170072747, 900430765, 513824524, 955685567, 827608323, 803930273, 898514272, 165374691, 704495323, 332452861, 893407664, 109994983, 700665836, 404632990, 434093997, 268922436, 716968998, 225760907, 574731298, 236437720, 551306349, 333994987, 75231339, 744773600, 492240838, 972873335, 650604530, 703250652, 931900925, 639443122, 409561380, 154419999, 239388733, 671766555, 495136487, 313110632, 299644464, 319704396, 110312044, 655257342, 133645615, 717539208, 719562077, 530138119, 541581302, 686277406, 419101257, 27192544, 75219108, 126666812, 483749558, 614572950, 256885492, 647552043, 31953040, 806821914, 795371207, 773720373, 519204654, 208295383, 232053453, 179266930, 291159475, 1692648, 120940289, 406684235, 373589220, 220873466, 803259944, 173102726, 723993964, 154138308, 833383727, 331872652, 253864520, 739342787, 775884151, 697804700, 115995439, 238461779, 574508344, 710591968, 720053064, 984402190, 347958933, 797697551, 244040434, 743202586, 166918567, 165684811, 658016510, 635938617, 728416749, 278083697, 939414487, 12410475, 191366012, 637410174, 30664317, 460326699, 543464412, 617676770, 17542140, 599099050, 713005699, 836410631, 448261483, 795916402, 851446413, 187678090, 658072931, 773079533, 634222151, 549714565, 464087779, 655718638, 597771257, 211013503, 67872839, 82683107, 631703458, 633090374, 922087227, 155431254, 803057021, 314596889, 972120046, 160849291, 43357648, 550953896, 143316724, 719164637, 307415758, 962052442, 425392197, 922982103, 299317591, 916494766, 763856390, 537581112, 409957935, 609764084, 385722402, 610886830, 648545742, 411794441, 496844057, 950873497, 667534712, 641059086, 593752429, 974347123, 830380815, 204560854, 374047035, 679415838, 815527036, 15336556, 575172026, 256650838, 468521610, 26055675, 317862191, 520540280, 989733402, 65022744, 517333209, 522858586, 891649758, 513142454, 475123766, 950038060, 618431176, 44715453, 83829218, 516223285, 200205989, 963050243, 566841397, 641897798, 628665520, 767544387, 172104378, 859946822, 564686917, 323988932, 331536323, 733221379, 395999586, 581130820, 221029982, 655767073, 890102587, 822176048, 915437319, 344106572, 481191541, 372578728, 872415923, 469372593, 174486980, 654346028, 200321683, 387589304, 344966838, 442130433, 750520706, 61542431, 629024922, 43463561, 448371604, 556330151, 640488789, 189752209, 73077828, 426876297, 883199036, 790775492, 441519415, 730841631, 694058224, 674283096, 750935748, 217802381, 591224987, 490696085, 288973041, 258546546, 848715341, 416033936, 919722015, 931409048, 976716584, 911371611, 58722938, 686627026, 57248062, 88108634, 516732748, 667916519, 149973289, 745774228, 814717454, 992468330, 810643050, 355293669, 585834112, 933761951, 254151353, 58626535, 853468283, 480806736, 599452980, 504283627, 497132052, 450181060, 429343416, 959800936, 115074486, 731340970, 147539206, 671140106, 3579920, 412211975, 524179735, 149050942, 967912822, 587434346, 45502510, 321571909, 836375713, 336576350, 947153073, 762120545, 561946021, 606225029, 865269172, 13572188, 604090007, 753055517, 997074457, 927258655, 650720152, 117761432, 717872117, 731427333, 526465025, 530706388, 168487432, 324584999, 110113554, 993149498, 398105155, 256297114, 803873755, 138895684, 174237741, 468459672, 458197248, 233318214, 860275559, 703840288, 575648561, 121744148, 968123441, 113370124, 654182074, 894153984, 232782718, 722843512, 236421956, 811351095, 328007227, 767538793, 866303945, 386373317, 685976054, 701461779, 200610029, 816076555, 313401987, 992776561, 679670435, 620811197, 434383360, 236427882, 809840983, 821604181, 343007114, 79683863, 77360677, 9417313, 371653034, 135754952, 816031403, 398742213, 636091564, 153249215, 654439706, 440557636, 471074308, 469435745, 573047962, 695494754, 98062090, 534702710, 685861803, 538492159, 286616112, 967377684, 125720783, 505637711, 4189636, 801838010, 622189972, 64430917, 495686629, 806962020, 258067307, 135069631, 702078365, 705627127, 153685378, 921430929, 708969565, 676140594, 771508337, 395865558, 17153163, 453018645, 373041399, 285694459, 959135294, 207026808, 820588975, 467130073, 174658116, 816099811, 56918065, 98139646, 916932702, 253527475, 109683117, 931962739, 532553637, 578692952, 160698230, 368682505, 96500474, 271013035, 274113327, 974106520, 861844629, 868588307, 337910338, 192153163, 565161861, 378493147, 962274264, 656877339, 887589400, 706841777, 129479380, 770927237, 831317622, 674365707, 635199899, 66520542, 109453957, 97630857, 262767827, 208724382, 641279325, 708616758, 350037685, 239275380, 877005511, 704610428, 233183813, 500044933, 770621889, 648374796, 22949999, 43817935, 534112747, 231913445, 488693030, 651900253, 539608263, 440593482, 565437180, 338060031, 69961620, 141896677, 497520855, 819540680, 166438367, 234031241, 527890799, 853792205, 977489352, 225386389, 778621472, 289520837, 952397119, 204437004, 972445826, 207235713, 98730942, 915302330, 561663022, 263169963, 662306352, 649461554, 968580523, 735319566, 183792245, 938703755, 508404935, 712810860, 17240024, 500398758, 260654606, 650953887, 392231749, 502472239, 776804904, 610878197, 310689526, 889300335, 239796608, 996147124, 677118810, 648533616, 934934612, 700858567, 230360420, 536190535, 540461799, 647501096, 790172405, 749037446, 273365364, 769392053, 947035231, 15258676, 219168744, 591731226, 746365420, 109387714, 531312918, 473346250, 549051940, 391239002, 535585969, 677627414, 540227089, 957627867, 81544190, 198139649, 254397269, 500759896, 86091857, 988794317, 331311386, 18712762, 345854343, 583211265, 18674817, 987470967, 909005805, 602325150, 188383650, 853378261, 250659557, 158267854, 405281886, 137057779, 426274412, 290160925, 152121706, 83325232, 667397852, 756481758, 881653300, 278293473, 895104896, 956781280, 428918470, 681247062, 543592015, 527045761, 744947217, 813027334, 618064994, 377272247, 706939059, 322089985, 626761856, 886448004, 518801073, 327734808, 509002975, 463189187, 962194325, 935876052, 523439995, 883707263, 619978402, 530941065, 865515471, 565558713, 44528288, 878382331, 609302675, 659245985, 248512611, 303060574, 832374357, 493339116, 776545208, 599302237, 851972266, 366653286, 732055116, 923127856, 514762514, 421272976, 46259688, 5971891, 356184326, 151297681, 42494016, 399594761, 691716841, 372532371, 784260333, 918023377, 268951604, 906728219, 732765533, 33715132, 786474585, 530858448, 786094510, 324385200, 243714534, 668213384, 951625517, 7469208, 964078202, 788041512, 862112658, 482585685, 241357746, 905205014, 242778590, 354853451, 722305741, 148833018, 413046805, 653368127, 300297849, 971141211, 662726642, 795724875, 602488320, 375285210, 389818047, 648239831, 596990398, 376997372, 110030349, 556399159, 855488777, 741383927, 985980045, 350631334, 839075452, 127035987, 224368831, 759195304, 302354110, 372371559, 282852952, 933577217, 727046708, 180122577, 461801389, 540763511, 538578138, 428076243, 71304943, 670810664, 191367817, 142205264, 621282975, 957872066, 510721870, 942389498, 800123614, 500082777, 209834040, 345440183, 357701824, 848202898, 860422791, 842779062, 404821037, 697045673, 288289487, 576257013, 633198233, 311102851, 628275741, 528783127, 834908304, 974116201, 660711394, 475125963, 662664033, 157659562, 501711622, 252776639, 452795601, 387435643, 98896023, 612854265, 463249899, 125435003, 207197821, 279592894, 89971837, 848851227, 492658342, 488939485, 260817995, 619949716, 111314198, 912171377, 543104942, 917983970, 544821383, 571904067, 540207970, 809030595, 529090872, 744968234, 793948049, 202224123, 20479893, 384574462, 631409163, 288291323, 383617955, 370741778, 620783159, 556298213, 359733329, 850889547, 19121848, 634898686, 182926309, 115026212, 200785991, 90628692, 532433327, 522033535, 446180928, 340552189, 972123546, 951082014, 465467490, 49759961, 796559427, 302414561, 227298764, 30274749, 227383396, 928937774, 634466972, 389534178, 215530561, 876888491, 574246721, 386861180, 773229541, 171753013, 147310807, 415644859, 336477666, 742095065, 173095393, 953979282, 83662953, 214168741, 234140442, 225845230, 101587422, 934143088, 910552674, 335332223, 444573705, 376788358, 348440989, 350983473, 325551916, 18528910, 961397023, 810752889, 611869686, 22692405, 540104699, 626007032, 643915014, 124664529, 882452283, 624604139, 455107539, 381239040, 86093749, 875513307, 658611396, 455723003, 440406983, 114298646, 297233398, 640765378, 962181399, 723277796, 735069752, 418619503, 642119337, 271920087, 325617558, 127353897, 442197530, 929618904, 746747656, 248601335, 291794247, 161682519, 581775848, 207697382, 867620358, 399120855, 18392124, 572596927, 419123995, 818361590, 731870144, 928540672, 550680616, 604374663, 745814746, 807899937, 603273736, 180054063, 194744393, 559257805, 771344026, 27263041, 5773085, 522943085, 853456879, 569171383, 168520787, 414562080, 302782640, 547155770, 830781194, 232454301, 703281297, 517082985, 782549374, 754020502, 109338120, 681305825, 603977415, 911276663, 998260453, 415154419, 215503609, 353575512, 373119659, 953551245, 717356849, 247073511, 166573609, 754833061, 787813237, 621801680, 704068639, 423640993, 898662789, 837015173, 842459055, 675768423, 700343294, 441381634, 272156625, 65459161, 524598035, 809484348, 746326835, 570668336, 497806006, 953313438, 747586439, 15554519, 759621927, 378206494, 954192775, 710099212, 109498701, 48959136, 804427273, 637273584, 985870848, 94242207, 544325700, 385525126, 33870598, 939214498, 295621434, 141782875, 174161623, 106780598, 750518573, 700687137, 990351827, 423288251, 995698866, 252862781, 349809396, 412128982, 518174056, 984696853, 410672713, 95851600, 166603153, 896648726, 169992710, 635025781, 580556995, 733947381, 226280283, 392881887, 132221739, 228150172, 781731782, 100177147, 520626725, 521333157, 308020906, 505296103, 439032392, 664765555, 635729393, 815479284, 84689203, 895370601, 261795972, 773207412, 127653735, 150382680, 571102031, 350445442, 146538607, 718603611, 405804779, 519686112, 496917137, 284467255, 536752858, 623864512, 684754769, 765250762, 484620465, 379590549, 225867450, 502128249, 936230196, 437853023, 14759566, 50739716, 869099994, 426120738, 853948796, 909199045, 132775064, 598868505, 33935724, 45135363, 448848337, 518547061, 155532172, 339436574, 673846453, 372055225, 115961942, 67795545, 859804038, 2914397, 262458794, 8973124, 467428257, 218887364, 87402064, 281536757, 922973777, 390695456, 55196852, 989974059, 884452438, 467661184, 62180044, 821620126, 643605427, 39505577, 120889682, 389329796, 893898777, 504633791, 256975800, 571351530, 486504077, 434409955, 602802740, 104481316, 634857970, 982912457, 296446887, 790943898, 520031479, 874993258, 748877550, 108360437, 960622292, 877263744, 458536926, 216927312, 920388565, 84939992, 660600171, 673714661, 590050480, 167999957, 840620036, 242100545, 200075493, 324874815, 25750015, 321182967, 680684322, 955682927, 843541486, 182028144, 107922181, 47636715, 341796080, 45513841, 302815099, 36355394, 712713822, 701370719, 352807009, 700774041, 905233453, 638487824, 911532897, 517971230, 872953480, 921308437, 982982005, 776531143, 474190503, 43088286, 412551959, 368802629, 36309682, 229710761, 144702026, 938658384, 628633524, 920383389, 865066326, 532203240, 606137057, 894960906, 919246588, 867745108, 923879770, 242319513, 770458751, 13180868, 292337249, 176659055, 520084501, 76610005, 713261948, 839526049, 155514881, 508563360, 312207938, 162018983, 855183560, 569254126, 754755923, 354401235, 838116346, 11501774, 82845720, 40569320, 259185330, 115393513, 976989495, 688663259, 547896661, 517806175, 25612725, 151623069, 206702501, 631016, 583331897, 580997277, 583173649, 439601751, 750444084, 985129243, 905412926, 269250267, 207357336, 328274416, 139838429, 813709667, 459760314, 433753820, 55753139, 86528692, 213024625, 293626615, 315727764, 853229985, 399742699, 661376915, 149067483, 444882796, 197645904, 205763874, 203911555, 99564610, 83596434, 166535327, 767600534, 754522977, 106179120, 581856404, 772218117, 604580000, 940405361, 612527871, 315820625, 121579855, 667994718, 773533533, 934519832, 470573856, 809185095, 727197751, 664200109, 667966126, 568241638, 366402761, 969205614, 611560848, 674932435, 939552967, 154635533, 739018796, 587145042, 387213538, 623870031, 540600619, 480883870, 472239564, 119512886, 485751113, 465729060, 875799613, 367429445, 618743126, 823526045, 851578745, 24966279, 336537667, 706587535, 100644124, 511687580, 55041864, 739147731, 511900004, 456560007, 476119288, 171682812, 538788085, 812092111, 890059270, 487165849, 519653348, 404251738, 991993024, 298163231, 13381497, 720080969, 650325040, 262952176, 666754434, 382435637, 754939427, 859797501, 3450986, 584323664, 93691916, 698351039, 768349891, 307321675, 677943478, 706077039, 724232087, 927738731, 16772987, 279273725, 754684805, 182606160, 764848843, 122908480, 499211730, 40802466, 107681886, 741904672, 882371397, 514803378, 797344380, 933811856, 26564668, 104651175, 242030014, 83236770, 784424919, 575237972, 930578857, 631767396, 848374782, 921659778, 972315784, 570781652, 577633569, 462384024, 794851088, 128977030, 190581483, 474880931, 424281842, 823813948, 298952555, 990725665, 974467651, 765595382, 440134671, 185983177, 446427361, 27309508, 42427575, 721696355, 806267032, 555999621, 882005557, 66739149, 167435114, 291548833, 708426064, 50254113, 495410126, 864452271, 374188824, 423252593, 13478630, 708240897, 400557475, 957431740, 980121116, 298823992, 12715754, 520059113, 465973954, 163236735, 697502498, 558408507, 974758733, 48775437, 727192403, 645678840, 385235003, 4207951, 201844575, 410265264, 38808145, 230631070, 418263404, 734327458, 274573464, 507337140, 59195812, 560444355, 530405907, 150827639, 974122573, 800590913, 916647077, 915043882, 743159744, 255592274, 754635453, 805630051, 604867086, 824290005, 848504624, 507036928, 295335816, 13075464, 442877113, 860859376, 87571464, 614756201, 654874955, 296647730, 330317428, 447546391, 240841940, 917561813, 39173819, 440759722, 244996468, 717476243, 466941991, 403374278, 125721828, 940646782, 2771267, 430724200, 376718918, 978286458, 805966613, 57854630, 38049479, 692375930, 923782673, 338706161, 118681139, 766826348, 128473087, 508762173, 851605686, 685537798, 147998978, 729549970, 743430466, 811639675, 38343962, 554472294, 22726004, 767828242, 864193394, 719256143, 630941042, 959712740, 689829629, 663169753, 976055049, 6411981, 815423823, 204891470, 237672109, 624638824, 49599420, 720906516, 586385591, 254910559, 243134646, 675505606, 224133211, 201074824, 583450300, 293973251, 634072549, 909213594, 31834846, 721084624, 279255115, 795854177, 408689307, 712224642, 301988796, 646828644, 273980587, 549302337, 181452251, 84209088, 393820370, 169258757, 303406629, 16455162, 189793827, 962956719, 99809898, 399686869, 682760888, 959456584, 376595096, 386259147, 818977689, 571880706, 967509919, 9656617, 619565636, 723549684, 296643362, 27420352, 477568054, 27089344, 888877766, 771513514, 270130629, 631841879, 821827763, 185624126, 789911967, 235495389, 675842016, 962561540, 594122326, 190983724, 272786504, 359522956, 544568369, 723653844, 301123489, 3391902, 896822165, 101298718, 536834852, 549503250, 414864350, 915714483, 583152181, 844846010, 945325538, 54586128, 644373993, 252721698, 895257018, 929928528, 734049291, 775646771, 772024615, 962299940, 568833414, 429493199, 777363727, 318995115, 991833778, 692953825, 78976349, 83414683, 737220922, 313088063, 839929174, 486229181, 964817985, 997726848, 221343479, 613378555, 959857978, 450609772, 397908156, 235967714, 92472577, 854739016, 258304980, 616745838, 25880466, 875469948, 330189502, 28826591, 859265685, 790738357, 224374315, 739738218, 337179730, 288180678, 893340118, 811428308, 622431730, 117824652, 946880788, 382804382, 606376827, 497608754, 956924002, 838066047, 480642566, 714152561, 472277862, 739425943, 252447467, 273352581, 392550586, 58224376, 609684060, 500159907, 323085437, 810700438, 616341896, 708982533, 205952805, 83331062, 70657948, 616037293, 680140947, 398473356, 910187729, 798032546, 600491311, 325653815, 508399479, 467867142, 912958895, 444034426, 849132265, 479952766, 396496915, 438210139, 417497003, 741157365, 803810323, 903206702, 226830699, 149982726, 228117709, 194449452, 578703014, 429991377, 485166070, 174825868, 448943614, 978208148, 794867083, 312466526, 437486891, 28311458, 390678496, 48228664, 369564977, 378345374, 852652404, 795472694, 254888659, 144819470, 34369323, 404746155, 339194706, 100927851, 225232967, 236658409, 423613386, 535929319, 192879895, 729641595, 330148967, 559264888, 55894912, 375104288, 781557637, 462469551, 860493165, 812339574, 127895771, 155940613, 513655291, 393318504, 690107453, 261634364, 592713255, 711861878, 160649260, 813977975, 175912468, 723070330, 557493855, 188881327, 233128558, 125474533, 500415080, 557308629, 319609604, 474177763, 837350110, 172979708, 398082668, 404351745, 468023855, 490711822, 38343454, 988659137, 566835158, 731272, 766695012, 267424833, 762279229, 813718573, 330249710, 561310467, 876571540, 937307434, 414524789, 786974281, 411760156, 220189502, 136789914, 503155886, 832960191, 224983246, 958693440, 524599075, 309303236, 240817695, 231485602, 632759283, 286375247, 136402647, 868245926, 598949857, 703764031, 204466344, 916492378, 619647369, 862452972, 454371519, 949140036, 123440022, 907203233, 668227278, 38983703, 705378483, 969951223, 602388147, 526519302, 908212021, 795427138, 817980840, 463443714, 505818963, 462090219, 248850929, 741133280, 675775151, 149202457, 143239349, 598905135, 484996092, 740012040, 551099100, 107303203, 924725390, 810133601, 848001608, 78133944, 26322065, 53991450, 529780998, 667905129, 970039245, 93523710, 379535003, 5876898, 406189218, 449203011, 320950531, 929103054, 183627995, 99769333, 934800582, 334700784, 27471546, 77938819, 46535936, 825122086, 614377828, 186141636, 47534246, 273403255, 44218599, 681423515, 264789443, 3064615, 43830200, 56605810, 883604893, 131664995, 716623405, 368475922, 5426467, 400352212, 626530554, 68962489, 229510199, 839559131, 206964191, 752374097, 88281032, 470273306, 45439378, 182381244, 720825652, 224102665, 656018600, 635636013, 578962224, 894529710, 602951739, 109524293, 349288325, 852820523, 42428779, 174895477, 51374278, 34355106, 348302841, 307363202, 654565237, 381071563, 700253349, 900131394, 967442270, 414913975, 771950568, 895919754, 980653220, 243051796, 463054314, 665953075, 36246411, 571635471, 558201816, 820580371, 667760903, 154641347, 526496824, 967199048, 104632726, 248428786, 595088034, 792745355, 694207644, 703683847, 906222321, 507814418, 906595848, 387999273, 900571310, 803409716, 773880246, 184011301, 836264779, 499955776, 985576274, 333107565, 676084677, 674135091, 772570395, 408374905, 275508793, 305617304, 861522963, 702055899, 722378068, 611976171, 491343584, 260121637, 474428243, 330105481, 521422361, 742142579, 823516794, 652353637, 869626328, 208789711, 847438720, 447051327, 813521769, 852418908, 513542334, 264143133, 193238074, 54654192, 680243099, 373716007, 423450202, 559944961, 803894440, 675219104, 391606617, 472662037, 663224946, 375640733, 430261901, 211320864, 467385581, 176353451, 37423859, 312932050, 987211136, 9157107, 319594892, 674284823, 555420943, 406085594, 479147402, 640319199, 33877880, 104869875, 151503512, 261511789, 332227328, 971575061, 755867218, 740897546, 695329503, 777686686, 51403991, 809547864, 97295649, 922906706, 84355001, 551331579, 119367586, 414026994, 787110250, 912869903, 864544987, 939928507, 752371653, 198028251, 644566825, 771980719, 209927646, 214403972, 517618356, 262455691, 153109485, 58296204, 29445130, 431334037, 261819495, 483817487, 997821726, 439288691, 739163690, 785153624, 14822718, 673419645, 132858461, 62453309, 968089536, 446973541, 648389267, 175909639, 288611205, 489214345, 519431658, 145900904, 374422233, 882880598, 314097660, 416664690, 250325906, 528125713, 166326716, 851937978, 160603319, 558648765, 863350058, 770420257, 172039634, 823129588, 710007646, 470684721, 152706641, 817940668, 816097882, 987110869, 838770813, 755248205, 871129880, 18820740, 978468898, 726645574, 642349358, 851997630, 408686983, 512159673, 893350340, 649812065, 16024266, 383152854, 807366359, 615218061, 913352489, 805378678, 487877416, 560814107, 640082931, 495431516, 445169104, 392176732, 617801549, 754301660, 298315708, 172047688, 823503324, 835314555, 884088720, 421367188, 951083413, 593052397, 834511216, 365550764, 178160990, 327371451, 746837717, 856397456, 327246272, 835236442, 535517058, 914121780, 75173977, 274263202, 84613571, 511593408, 935763643, 107428494, 922521935, 164816618, 606101327, 292192137, 227792576, 763966161, 194303471, 503521334, 499261841, 835066359, 194148119, 862497261, 455093970, 758535475, 902221198, 552988804, 478399231, 53309053, 516943296, 703259378, 919232382, 211991799, 874545470, 865731441, 53074040, 634301707, 991730556, 457003668, 177174071, 508231093, 167709623, 473486979, 717121079, 314431483, 406524119, 221427728, 774097775, 289135519, 928981930, 354959726, 629111898, 6549975, 473661063, 773357804, 883128488, 293526028, 156073374, 742634066, 983374633, 866414214, 247307807, 363218232, 983918068, 204355314, 498170262, 443934632, 803511404, 861832078, 537542732, 813371190, 407788028, 237420215, 727783100, 154825308, 582335448, 506653594, 889995134, 167880264, 725100292, 965562894, 801498579, 118072072, 264496833, 373635698, 696095649, 629043988, 574156958, 391868374, 512988166, 45915440, 221142488, 523862530, 605313700, 517825558, 675943229, 152274550, 685911566, 933178661, 419672491, 722648236, 184989042, 457574862, 153653922, 143132572, 991387932, 522726436, 910413066, 542313842, 520190702, 152985418, 915469167, 142297084, 781820943, 924797930, 758663857, 875196332, 609083412, 388189497, 810194585, 717768058, 693534644, 618207629, 724093256, 901536385, 40979282, 140476513, 127632923, 272606120, 135841948, 226103164, 719158742, 173894328, 233706243, 685700586, 520467486, 344460919, 556782103, 814457290, 313871123, 888550392, 52972389, 685289306, 106077904, 872063740, 391285557, 155098026, 708210851, 668643249, 944337699, 568694869, 733432898, 844835456, 17995809, 640933571, 969134202, 669304948, 721517771, 433167790, 551005980, 575815134, 249691602, 134721295, 386798245, 809900613, 614797499, 241966765, 189792897, 557355666, 806532323, 607821845, 387343922, 930269446, 852458235, 661581917, 603463451, 879896500, 166329090, 275729413, 294197253, 542229112, 658673704, 221093689, 888333459, 562398850, 5451401, 241151352, 492792559, 147736873, 764614603, 119525946, 468113895, 466184936, 640156584, 802076899, 847694056, 662503555, 776085372, 891421757, 372911721, 296047394, 507004215, 805904603, 583634042, 625091600, 583522877, 615330592, 217832278, 519222541, 562188134, 531444810, 236218943, 639260940, 657924790, 468625106, 764589559, 226184259, 164177544, 720009731, 536177125, 969396005, 717167361, 992092704, 765032020, 802389634, 222658996, 589045842, 691298071, 391385768, 436852464, 872342688, 907218667, 921827908, 360506443, 279240396, 949374180, 537743143, 846254666, 400936289, 253957913, 343501212, 237303948, 82089102, 421009645, 917219255, 120067291, 364826286, 950252697, 475636923, 721048051, 170832861, 893920528, 495438126, 506358244, 55589003, 103359522, 653659436, 968345975, 865895845, 353500729, 386580519, 875529667, 810183697, 560880374, 600971835, 897786723, 477687077, 529660234, 808528715, 453087890, 272891436, 658118778, 513559751, 293633124, 740208614, 571481302, 702794359, 886162107, 972473326, 165195313, 58493315, 990966743, 624659366, 149711529, 486634870, 481572836, 863962881, 138675525, 823547020, 249720633, 153443669, 220923211, 184504025, 87263341, 756713992, 983476516, 575203042, 952463354, 572172373, 131339992, 573050262, 373424239, 710370975, 114375477, 451617721, 388768300, 726440950, 908654551, 662815480, 572944434, 211492224, 822237838, 392554576, 340334946, 679452258, 73462167, 942143327, 414839314, 131224886, 945424518, 779766171, 403760238, 2214362, 813944075, 850576058, 12507756, 408081119, 554685939, 301281716, 134239486, 330801678, 574739707, 161107119, 573143265, 864176582, 458549617, 882978541, 123950067, 381059128, 49570501, 575807917, 17055734, 376506640, 828496312, 949231089, 290649114, 467018781, 519978158, 422231000, 497059672, 785045186, 390625348, 233711533, 579038522, 567094679, 406861317, 655480287, 452412403, 561057296, 814437886, 557867252, 600731889, 233011908, 706697881, 714332380, 39349059, 870883921, 725706493, 279810377, 754665531, 217953784, 10541414, 615705449, 234319913, 933661788, 185156819, 167324028, 20635379, 595632650, 495464884, 670353875, 690355235, 459327104, 909111005, 235496122, 932183553, 803242997, 323263639, 30001235, 125261239, 83672877, 349723341, 952995996, 551057720, 356357924, 285272045, 869182211, 7465746, 417652268, 540926088, 349034040, 54512142, 290864543, 313356144, 500041373, 429308799, 350079905, 921176892, 926557438, 235471797, 387446772, 2648570, 314983629, 164148259, 776371215, 977150873, 1030862, 226145358, 255932901, 699556602, 988071018, 128995796, 620732011, 682275013, 486297118, 31946855, 846237275, 365229878, 100281530, 953375758, 810884725, 878352241, 461038433, 959155394, 611147623, 558023822, 866871160, 914114780, 677263116, 463947179, 737662093, 488152025, 263814168, 683396794, 587770410, 930074291, 398214959, 902949011, 166363681, 557761866, 83846570, 840919204, 92867890, 685773184, 580463657, 354526631, 972054683, 875757982, 878888169, 550395596, 316986065, 719817097, 986833114, 605110575, 490634088, 836276639, 902960667, 264851516, 599572082, 760961260, 799599764, 444266472, 153609009, 769432782, 287080547, 490106168, 290526795, 283030118, 994071285, 153000607, 803456951, 651164157, 838983627, 356822746, 421449130, 200491667, 653282079, 874001000, 407646262, 35581162, 575793348, 100595303, 111727961, 523070604, 583577187, 646147114, 231232692, 668271826, 416813341, 442288808, 185694120, 855968201, 468732441, 765493459, 400226183, 728669770, 700487471, 432299704, 875207926, 919179912, 939234185, 256522497, 59995355, 71639188, 39053533, 705523318, 604930838, 664027023, 157359387, 588663870, 634006349, 545486437, 183778137, 297371343, 494011502, 529138908, 313717789, 362619608, 360566710, 908202470, 499255329, 102241499, 122089882, 513590344, 381348023, 703065747, 951559121, 32815574, 819531192, 951697386, 232032233, 893243559, 219016734, 532013202, 476721528, 667304609, 611290020, 136488407, 627520922, 196609868, 269029408, 530132081, 159851947, 13340766, 331967331, 176489577, 462517845, 500276202, 657845482, 784333986, 333257364, 370515898, 952508089, 232366841, 354453767, 268412933, 582769746, 257721448, 567493382, 176110931, 839295192, 454717413, 983489137, 986549876, 280186698, 9959805, 88500864, 97549703, 409132066, 935989479, 255889591, 30694673, 247786677, 661875363, 57452946, 361557531, 690435069, 36758805, 682990854, 338595068, 997088689, 724279216, 755610582, 360727203, 961063451, 335208127, 953183773, 992103621, 465786495, 28658946, 202068086, 487384017, 330430138, 866166914, 962060973, 161899848, 820582720, 991537534, 818302904, 965400843, 134909247, 387549460, 780558894, 818477519, 495884687, 609311032, 926643028, 443739688, 640805269, 361990098, 990942805, 57621359, 674470850, 875535602, 792388177, 151690439, 858824872, 808259021, 573875328, 945644136, 873447580, 325881202, 579071608, 277642919, 16749947, 679209259, 326283542, 273341900, 690695009, 78432125, 24777153, 566542593, 706305131, 542034302, 59827022, 696590866, 573980724, 300561509, 604702157, 250747894, 993982733, 311490687, 850953648, 987950135, 953683821, 210061811, 900963678, 114854407, 598632130, 822514178, 745077812, 998229246, 978112508, 345336580, 115200508, 667938798, 306036219, 628753262, 312778972, 994899683, 697806457, 48311313, 286688615, 33928900, 783459381, 334505751, 723583974, 411611505, 740590376, 387709424, 768565345, 61497762, 138984998, 327953993, 74587524, 614680168, 328114243, 602108550, 839915595, 167976053, 815034407, 51305363, 652044383, 968080, 238403305, 486937439, 707026101, 336431182, 650809445, 38706346, 500087773, 365441979, 384891192, 710812062, 505124909, 195149635, 210746393, 510476947, 503380180, 653665168, 791933809, 925511358, 4409648, 794661675, 832332459, 478041795, 88409110, 345812730, 701018628, 104666105, 702443110, 196034842, 842449953, 709536820, 728652040, 630903226, 953673320, 982127639, 228444992, 736460362, 932077647, 368029051, 578474098, 386854193, 642649806, 204408806, 231954501, 309155292, 835526868, 695787326, 458736527, 65432707, 552805039, 289046351, 85702152, 275336156, 153988012, 892342259, 597568718, 195414197, 961307133, 304763557, 412828809, 827471189, 305623995, 412640240, 870733799, 141608933, 966115170, 723308220, 8000293, 551131485, 49894856, 232685045, 253966556, 600282775, 645965895, 194679256, 881914870, 662391198, 915805796, 583242296, 844476861, 342755642, 421052635, 961944389, 713862950, 34888655, 496726973, 86543671, 475730759, 445266056, 400912607, 255154522, 972714233, 650641803, 776697037, 32999490, 262027481, 771537048, 901933662, 699915045, 978317170, 452711187, 600608528, 549396078, 277656402, 497078618, 157417103, 283367290, 283323902, 911366354, 274210543, 337341758, 459863222, 533216687, 923401370, 81361870, 24244346, 73404128, 678368116, 686498559, 728470171, 552727994, 366364796, 860148539, 351918939, 134536243, 540860198, 178322080, 8528098, 548873273, 424224954, 243715711, 244216592, 244859802, 979686560, 782168261, 571599549, 15499972, 283486909, 882989248, 554937301, 189412456, 13792086, 606128896, 11438316, 200202283, 902788470, 660188382, 973960192, 632503797, 397735328, 877404459, 135569933, 342127742, 72465329, 291158767, 586963052, 773583858, 620188661, 124823334, 980923337, 23313582, 34213660, 462179334, 893985868, 398703282, 88112739, 32044915, 308785434, 443918175, 632899813, 393325940, 362578749, 312193838, 955504824, 581291307, 359276306, 334963072, 68949621, 516632930, 202272995, 57479208, 614385586, 321105169, 319981771, 249038849, 104395925, 557845514, 825205583, 46060764, 239209568, 624157787, 864470114, 674587036, 381839143, 180811385, 967011777, 832427545, 140069119, 594781825, 860778296, 269975645, 903329965, 8383153, 225941174, 266978268, 360153424, 909367099, 133274754, 425784018, 855207186, 715822532, 92773578, 232035342, 425236714, 528550245, 979653023, 791539205, 120961318, 277689991, 521911374, 279444469, 17329292, 284050131, 952641624, 778960096, 443921325, 176526263, 406927788, 185685945, 904159366, 23511148, 261294316, 568701907, 164934037, 977654524, 113229493, 321415384, 385665803, 598013211, 235204400, 497657989, 709347396, 50932509, 621433781, 335535429, 802052073, 747893520, 515734590, 849275330, 862549780, 977226341, 644646922, 465284311, 921765943, 503240160, 838554450, 284965289, 915447327, 112535653, 337285578, 334425990, 422855962, 190395298, 740831526, 207095455, 431415117, 347706906, 152726169, 259460300, 186981754, 698316682, 911225091, 839675804, 842930210, 149676427, 619211398, 349705117, 701615924, 598936444, 910959735, 409719743, 166341916, 515239436, 83471587, 159988624, 130067718, 958327704, 916167792, 536000015, 160878486, 546335419, 748509618, 988339450, 358953489, 970491344, 230239602, 697367324, 613570475, 297005053, 438754589, 504449520, 45881122, 965887716, 17812571, 10706314, 807961253, 8286610, 679455907, 795172933, 880181515, 228730271, 690211173, 69395992, 825985543, 426447820, 617951567, 54864998, 294953601, 802359876, 964711221, 48935380, 163591073, 814156923, 430270980, 535208434, 319448247, 703444347, 203003034, 598944671, 732243238, 790991413, 110577466, 216654716, 615713306, 130379961, 441240031, 968401670, 901474630, 989263582, 472424633, 855126524, 115779634, 833429284, 578545293, 669735696, 196214608, 344463742, 713152402, 141653639, 540263699, 49847288, 225356677, 517038768, 265272253, 485826901, 385698441, 78637012, 435881804, 702624894, 979740406, 733794509, 934777284, 972637845, 436987089, 950248234, 411297759, 196212791, 17600405, 206974420, 382835321, 985273426, 894998916, 410039289, 234515662, 543900947, 730578523, 525320086, 25140190, 114647366, 465384886, 189219632, 987876400, 574067046, 635994968, 235334265, 779810947, 801243602, 513249549, 329824085, 56620550, 137498635, 579771423, 917493833, 618147880, 38889122, 963450198, 909449791, 135717368, 35481530, 207625770, 624038195, 278210574, 133453635, 384780352, 321958214, 858518622, 271100031, 799452076, 52812273, 324024919, 397548046, 90868016, 905654210, 417914904, 580314610, 152805121, 804977457, 276400221, 986405760, 495284860, 329672825, 500427594, 533910443, 310510580, 954581228, 22128268, 899111605, 135886386, 584272180, 342427714, 438270630, 834972006, 996449356, 957783813, 319785483, 548033334, 822946061, 149635550, 435988658, 745005825, 153493788, 832982345, 102829414, 721904344, 187075493, 422623963, 319594692, 62523796, 180719275, 760473522, 337574757, 614929869, 247428188, 566076695, 140247443, 145048758, 505717505, 61509100, 821301261, 97268299, 500352343, 492861070, 304003787, 880642306, 623874031, 695842424, 961882378, 477549544, 34112772, 183445328, 668032203, 745335278, 924289709, 256113529, 199957678, 642698737, 813485959, 107702994, 903956160, 998695776, 961384526, 163595137, 405757197, 661150918, 344456037, 833053150, 396163013, 657909911, 808566769, 848554338, 249874226, 784060979, 608425694, 668774080, 984648974, 881861112, 239526650, 896291614, 520636148, 805118615, 657449113, 691588145, 694112366, 199531486, 761811006, 778417660, 211198332, 974113545, 347810442, 111139871, 95576649, 464491743, 558415785, 180291961, 825672554, 669697102, 228690044, 905894303, 219063669, 55986663, 25056559, 958103247, 303144658, 838836553, 642974475, 748491900, 172211012, 142338022, 444921512, 804350519, 425437841, 238438580, 617339678, 797012611, 629465460, 323067475, 199762682, 816683353, 100588119, 234112303, 76194057, 698308860, 859391015, 224501511, 618707225, 233736768, 194603656, 102627571, 232157042, 878682709, 564235135, 878015826, 526805527, 521261939, 68523114, 75187929, 911497469, 645165869, 415148533, 128549321, 305951590, 51960225, 427311013, 361054583, 63719395, 633645407, 239047431, 882818539, 56349768, 994297723, 745974703, 399801578, 293370896, 676108159, 465190966, 596886834, 713181157, 10395088, 218116302, 841684185, 990154913, 808931109, 362646549, 74181222, 10486737, 302103287, 542520988, 880575713, 711364535, 470873291, 38823005, 854676487, 285101141, 165021760, 742309552, 494214063, 225523525, 725572862, 934243362, 303982918, 394321745, 229629745, 593065075, 604021244, 895997221, 974691693, 523928606, 131257618, 717861064, 468941329, 792625911, 562719431, 799837028, 76047663, 156999155, 762634132, 219114901, 130900501, 584640271, 221527585, 932627862, 957582695, 330362288, 399045144, 11410231, 785946263, 942657737, 111245722, 458782212, 853014896, 375210043, 687172676, 541574732, 171982653, 596966812, 492934654, 151476685, 741560109, 713236878, 462118438, 501365730, 485062799, 876316145, 193373623, 959302945, 34419436, 221784316, 882463650, 935811919, 312118591, 277339683, 250402383, 195713482, 764111815, 971537525, 844977232, 229106098, 914708288, 21722029, 197327848, 993117276, 452556780, 666012928, 160383720, 300596649, 626560321, 785483409, 551575543, 895297505, 979944822, 266306122, 741910753, 494625463, 882223645, 6334225, 585917760, 710628264, 484465402, 810450866, 731210768, 506336176, 994599693, 291989536, 307566304, 605198243, 256973501, 853240483, 744536030, 416528551, 233978809, 368761079, 275686806, 265928218, 934007455, 144843056, 596278464, 394677271, 739986182, 622087892, 232153455, 187232014, 934347149, 661801406, 388989284, 362740420, 538143881, 209566708, 105736727, 207797216, 545344397, 902236203, 746977415, 748829974, 812120589, 600900344, 719117857, 778830922, 46662220, 393343939, 35157046, 943955093, 246201254, 248657021, 984484067, 188951666, 614027966, 562224433, 357425511, 675077503, 923073807, 408053788, 753418993, 632177733, 573954431, 903812453, 394580153, 60000673, 617323845, 176190192, 992106337, 284698325, 598400070, 573791993, 312934765, 274016175, 852406066, 706844490, 195703995, 211847647, 861419532, 852538857, 397093815, 220838630, 83917530, 476581938, 969164155, 856222143, 695231926, 594688964, 989821485, 501506403, 613120528, 184914477, 838614813, 580972552, 816048153, 168984349, 756310519, 792810181, 118611702, 350314077, 131009130, 763116935, 165367774, 82917328, 735574968, 808157566, 931132809, 243761308, 494434060, 653726975, 359579715, 213963492, 708855687, 269185013, 210217674, 870503657, 997368043, 618407816, 746739468, 482316078, 391552713, 739135513, 34919476, 311576394, 958711120, 779875245, 531523660, 994460714, 449243350, 230105703, 806790501, 284878102, 414780661, 57912935, 956052504, 976670751, 765212443, 783596418, 687476952, 184686391, 476460323, 939840591, 17725973, 833462842, 568880404, 471850675, 978752209, 65146703, 452583444, 789300455, 112612724, 302167051, 785136199, 475714001, 487125226, 517419337, 462969636, 106039490, 727366029, 503144944, 596550547, 374061174, 228824137, 329481263, 66791757, 324949860, 977387877, 771218402, 659499517, 957598236, 687356448, 245115882, 484488978, 781381531, 999443037, 350003572, 423313815, 518943780, 15223719, 909807276, 789481539, 828477831, 4748916, 172347842, 552759429, 881118873, 688619723, 299942928, 398178620, 140943694, 937783259, 331005843, 16065655, 476036155, 130518490, 717744652, 307632277, 518218459, 779426351, 443655244, 354922574, 712444897, 868620869, 395797088, 804495381, 401484944, 617508474, 321532339, 849073481, 445906662, 557438792, 767583311, 328428414, 597408754, 964439692, 52287406, 578667147, 784546224, 532297729, 711732566, 614508172, 976555236, 95100367, 497919928, 445795784, 246541574, 412713706, 258177891, 425696915, 619037118, 335074837, 119704927, 930657694, 48683797, 788501798, 209402888, 729326548, 925636142, 775323283, 561443535, 583534607, 998020233, 463067092, 174501860, 774078649, 198866986, 293304753, 921084612, 416045979, 56597888, 351477300, 638245241, 529249899, 68092518, 277381178, 676580854, 430481301, 189049489, 149722221, 188751050, 661652534, 744678413, 136230450, 852320474, 71682476, 277948733, 454107672, 627575627, 755780721, 372243032, 464697561, 993140020, 351065297, 340884434, 867408818, 97428623, 541239666, 969215205, 695917151, 579113610, 463504276, 140542219, 603349209, 416874143, 966801842, 8430680, 146336652, 972654598, 166718980, 758533914, 413227647, 173562643, 149613571, 116490176, 652074682, 172285975, 114701189, 598706066, 841981011, 789341049, 446779092, 39873109, 111814207, 292417075, 989340416, 751179686, 36751795, 691397239, 770885227, 394900078, 820751137, 384235177, 211112556, 232777005, 698014151, 811716171, 310244959, 181875351, 754255583, 571560044, 358691320, 512749239, 42132198, 675239621, 684509557, 902882538, 721390037, 33385425, 876135741, 813089673, 782765150, 540148873, 422345268, 893691658, 576869865, 972252608, 500510126, 671598983, 139123889, 785838650, 379374873, 716035110, 872044039, 484066807, 989612403, 461694203, 775602517, 218838353, 875792058, 33867579, 933397012, 522608098, 216309358, 329121625, 177106220, 637802175, 350247683, 844547807, 940709000, 346048746, 290250106, 968866774, 161597607, 768195103, 58505166, 32900023, 338375820, 556421718, 76248023, 41995721, 549987599, 244399892, 849274142, 595939651, 945344988, 598166365, 36333655, 639618451, 291657944, 648687969, 665108397, 533410149, 358540868, 953573587, 23654932, 385598096, 511558822, 635878929, 92669199, 338239109, 1968200, 324219589, 460225572, 83797323, 399477579, 767484235, 72943413, 817172043, 622088648, 297014300, 559777741, 400733495, 567381573, 316822394, 670337563, 440849889, 424316492, 928735702, 11135142, 736166633, 226935708, 511299781, 869028841, 76386821, 185044397, 203840501, 849568548, 929061039, 397506720, 917668881, 707705820, 94020547, 720205535, 116343383, 760546644, 840650871, 269058338, 676549444, 305519727, 81283930, 44599886, 982109252, 218523367, 509773021, 17601199, 61019207, 521169580, 881984673, 252756814, 843069783, 413969701, 392919285, 569085672, 543023698, 437063203, 749546438, 165615908, 303223088, 450476051, 833393957, 540585510, 61751110, 523868793, 101540208, 309965550, 260885279, 690068322, 339324520, 2536007, 836162524, 286481832, 756299103, 985098606, 838212743, 86172744, 460877868, 838240924, 151361892, 155831196, 339316299, 40126174, 808510734, 967054151, 169759797, 425259750, 483503932, 110076694, 726671125, 11128247, 939467108, 676770720, 477989613, 108746709, 409692825, 161429, 704745446, 576604155, 396723152, 740711235, 208780959, 189806806, 781194653, 357590757, 245664726, 663954754, 884178372, 673536581, 439474818, 241494156, 590440258, 730820555, 849377991, 610274520, 739842370, 188662207, 21633954, 21204918, 792809071, 597384884, 838003, 692051821, 598490309, 47527231, 451166172, 938191459, 217038708, 251302718, 481610465, 329366318, 653318915, 796758862, 849401800, 686450842, 746104860, 316156443, 663285112, 887850459, 726480935, 304684884, 5431285, 816906899, 944450200, 670917006, 840235495, 802749470, 243580012, 611425416, 297842755, 556869656, 540460344, 709202410, 825864194, 675565996, 359272856, 123476329, 957035200, 693068246, 488097970, 903303823, 301254466, 314710569, 116813979, 143217173, 272431774, 546425016, 235212170, 237041589, 540300276, 857060981, 244519809, 594112364, 135694081, 624672397, 671242586, 946244503, 217417588, 394206325, 738586342, 483831314, 538678920, 761561436, 829886077, 318196543, 28441258, 22892725, 398618330, 488330509, 543754945, 469429541, 183368373, 600609335, 533858352, 750778344, 454506388, 186053028, 105116508, 575705807, 316543052, 866457144, 550971673, 41457573, 613620789, 130218873, 42906999, 910509219, 193371286, 278807470, 767361157, 544724367, 808389784, 223473475, 617692315, 127298107, 505910144, 119555942, 396017718, 241902149, 452030589, 664170511, 835375636, 5513541, 985440470, 110319101, 839615958, 780039662, 561723168, 406757456, 350268473, 402673390, 391760299, 697270641, 958172723, 691445766, 591664754, 222846774, 393388776, 386115599, 845012735, 590631887, 347372265, 403591897, 438651539, 718809759, 408020433, 228864277, 220005566, 755297583, 79600550, 366284596, 891886485, 155579750, 669716449, 44149417, 769506558, 507560498, 958712381, 464654755, 750087831, 305855646, 470848065, 195552106, 984948683, 801677714, 260747014, 573689729, 709479699, 85813213, 550855284, 456965149, 952099731, 86512186, 909783871, 305367600, 83653855, 492305481, 220339986, 152701830, 86356333, 355688045, 283283105, 767971336, 533444553, 64357990, 223762203, 810452328, 856772692, 486580291, 234022364, 692126549, 284846416, 800407084, 391491354, 110493132, 143435814, 144206113, 737927826, 177289470, 964069418, 807199258, 991796851, 405130181, 521394977, 10153029, 758766711, 103840827, 269458708, 907505774, 748754080, 987909135, 769253050, 992326250, 60170532, 460228997, 660674584, 176256356, 746301633, 176785920, 901243639, 591262580, 238791964, 313854438, 646426821, 61372709, 271183673, 730764324, 667940242, 522893698, 306922666, 963518601, 719497701, 511238053, 792973596, 38210846, 145681222, 769285009, 41849444, 282654708, 324751362, 753566434, 461756671, 128695995, 658178219, 918668475, 636977227, 579322440, 251035289, 445169223, 653629397, 295710135, 718166829, 158844007, 202285422, 363560152, 336454054, 985228260, 903149831, 896421200, 175351704, 647920389, 173554806, 395527419, 648818802, 212496850, 717363718, 950166182, 652157268, 790567656, 664001483, 250664163, 178536092, 948246884, 76465393, 270358411, 169216917, 264446665, 472146468, 245619858, 663044974, 399884931, 145578331, 323066841, 858890369, 389188108, 688795905, 739539972, 749979885, 337257199, 546083777, 808484811, 569201883, 93622214, 158285096, 69122606, 311875739, 521644779, 281459825, 864180541, 351157347, 894274176, 316359926, 940220938, 596129597, 297379819, 691929601, 760956157, 676716511, 182710837, 68190275, 918780188, 659917632, 199005252, 240220232, 322435645, 60073264, 693518408, 876301890, 682197288, 26525702, 597810795, 249008103, 799015662, 212174721, 613600983, 982652756, 74473581, 913959080, 417073566, 412100768, 794764587, 968414110, 882387680, 965950416, 434210465, 502366922, 400518604, 46008956, 605045419, 749202416, 779167829, 623461333, 647555982, 866099850, 203150209, 226388730, 553301101, 836619408, 354950105, 72680904, 564618992, 114834847, 889854944, 461902631, 751635132, 218525725, 199142206, 468790235, 503333934, 386376855, 473897059, 22606278, 462696638, 37664680, 539687111, 68636709, 421314319, 606814536, 527095215, 48625252, 108377523, 774100460, 495874260, 170541178, 606459928, 138271019, 606178096, 415725001, 42289999, 323923355, 246465601, 463433760, 43349936, 98175745, 428112775, 973600722, 54320678, 443004986, 912001059, 432491375, 500500034, 610850228, 782112554, 489838406, 473916214, 564607483, 651542132, 743811456, 510511297, 542074405, 827372614, 275679375, 714174721, 666667057, 243794048, 194083408, 453344713, 3186481, 191456297, 114111910, 8901436, 902632552, 97360990, 355433466, 321409741, 334218642, 34768162, 874679563, 599562432, 327839199, 561162956, 982319509, 906074583, 502930966, 639065454, 66663035, 369531303, 745264257, 286417380, 856383917, 844245914, 167700358, 686897263, 582914288, 959409042, 102406331, 670852921, 475068010, 90124231, 822852182, 388649993, 593832152, 978151987, 760788562, 657416548, 509857307, 546382285, 894172760, 156584440, 989943503, 851726772, 355572809, 800343926, 736372943, 328615724, 113805508, 767260877, 29632189, 987799753, 841442124, 961461708, 873364018, 870206544, 507765516, 240113662, 278797723, 168568221, 929135436, 436994410, 339597166, 683260107, 423436730, 715493918, 29801064, 813279110, 194229730, 768976552, 635954105, 187889545, 649005278, 819470720, 782283413, 136367365, 846819819, 822523417, 676850861, 605927240, 425342768, 693387962, 215659489, 91308991, 326614122, 35993236, 653025994, 39294006, 681029639, 643265784, 141946960, 274299338, 374683627, 655964129, 53438925, 43216486, 96469738, 935152243, 640430379, 202171881, 564622714, 53391157, 583468612, 564276090, 867590036, 470349095, 696328919, 871808684, 822474465, 10247420, 983933554, 12137987, 993119653, 745849596, 205495845, 348075851, 501848456, 579259063, 39662520, 158352555, 785474152, 27696700, 332332066, 398529123, 350801354, 375228051, 438337853, 379875833, 74833051, 826022928, 830062858, 250082452, 366130797, 333360242, 904880266, 314254371, 93324061, 180094465, 881972601, 667110101, 865823739, 618712528, 908519795, 152878769, 54073080, 820372262, 166947144, 425674162, 704792001, 596270524, 134581294, 519749734, 381556435, 322555407, 639679156, 630392817, 251095722, 809173544, 911111797, 527533502, 197735671, 97364901, 6143952, 378847016, 598383936, 826734937, 61404480, 736842472, 188253236, 261007009, 712428649, 221046394, 933276184, 65311264, 270984916, 144918227, 953597411, 715522938, 944071606, 207503820, 355282974, 203552759, 699820562, 436965322, 766789006, 214318436, 418128416, 729096956, 552561546, 38929059, 845580904, 583709418, 250384331, 683849708, 62348429, 798590697, 4670685, 591916337, 67155108, 555407878, 694019357, 907006372, 844231432, 33213593, 826535175, 823021636, 519560095, 951073944, 739013562, 184042498, 113875005, 255626099, 267520754, 318529875, 462363525, 558653472, 139137281, 966249478, 480578571, 395269159, 454410974, 411777165, 232625548, 150053061, 700459784, 216743798, 956446203, 58589393, 729939378, 907810110, 182352455, 474873731, 292261258, 627610774, 870998040, 68993090, 812373918, 208252523, 1462802, 886272994, 578445219, 445142556, 356133043, 721200673, 696651197, 478465676, 100157201, 192267884, 730178374, 157043646, 518610253, 710262822, 310566485, 58218031, 517133682, 620081754, 379987514, 921332226, 885964726, 426470265, 305758900, 953921383, 672159126, 629466289, 907582591, 491056826, 872032101, 390539114, 776851092, 474722564, 982071829, 873176795, 643172955, 465546526, 213552732, 512597633, 927367174, 155500029, 989512396, 595709292, 403012782, 182461896, 535383087, 101330504, 40560197, 71413773, 84286873, 886863395, 719306966, 835555835, 607672717, 111020325, 173075978, 917615181, 85777874, 366661477, 390183771, 730090322, 803114421, 697194701, 134660112, 405808910, 168181595, 250941569, 166335089, 664542136, 136683298, 970811053, 520909604, 854109579, 197117053, 838977026, 813323178, 285216868, 592390147, 396839261, 468768647, 335633385, 815932334, 771959530, 911012089, 855090098, 237361326, 906984036, 890747369, 862860007, 385000335, 749551593, 144128209, 693424168, 343418343, 947736626, 757132713, 795766995, 240207773, 770537517, 336061826, 28843243, 498408247, 312723364, 73094130, 826671366, 990680311, 148679413, 343989786, 548239600, 101227779, 768800513, 288373497, 644575924, 162101554, 690766879, 336415725, 193261721, 608855925, 212105816, 539787258, 117260041, 823498865, 308298318, 842853951, 932270762, 434073915, 11806936, 800538444, 397541198, 235101348, 586987999, 300648795, 931643204, 940019881, 736295324, 803492521, 13444041, 118760167, 296549620, 832491841, 925796429, 995655514, 79153792, 91576135, 453639024, 751367548, 929530299, 696923392, 258691256, 650482476, 450970111, 506893987, 407063922, 886320217, 462254032, 425601504, 765670266, 739054002, 415210863, 84618837, 994132003, 392498747, 924277851, 368659679, 892345370, 844697374, 501570416, 82230036, 122450583, 695284737, 642298762, 496384781, 658667253, 248123296, 377339701, 766232423, 268426645, 651376096, 250682373, 143050214, 96814932, 857737218, 974274506, 797516365, 484011918, 259721501, 267384060, 501104478, 201105573, 484971205, 671204930, 25631703, 865434490, 738334545, 673098877, 883269559, 575235436, 439186722, 325136987, 625333751, 716290796, 192576972, 562520268, 104334510, 126041472, 814745627, 883553365, 778006804, 845837255, 847775280, 398674356, 576000096, 280477878, 539015963, 456166735, 99386071, 705359096, 784806774, 996771230, 302418112, 596607932, 450537959, 802945012, 496112740, 193698235, 178509021, 926661593, 404145477, 794128852, 426552958, 943003584, 441213367, 508991477, 183153542, 798429200, 547707004, 291871557, 146229116, 339500331, 870409554, 44825864, 782737645, 992115859, 983853501, 378366774, 126060004, 502530551, 410584054, 736167388, 878335839, 140190021, 599630565, 958589494, 176081815, 233543648, 703427482, 851077133, 533270426, 572709956, 369964648, 747354837, 733856411, 161111097, 645478535, 841761031, 572422458, 896429025, 673317578, 117459974, 487071495, 892723364, 672910687, 995895271, 810130950, 767425784, 939308310, 762908395, 126537753, 829215166, 424102144, 471153582, 608370445, 703104229, 206132265, 545780814, 2796834, 187130270, 667673201, 367411375, 792999065, 951187149, 970861953, 565922876, 957834689, 722980043, 60161992, 845510673, 201245573, 89012483, 555372967, 166682261, 271818650, 966875233, 871801498, 431872389, 632149895, 241655358, 735589394, 318387988, 434979895, 333559128, 873751675, 235319292, 709128644, 382387768, 970494639, 151466850, 390402311, 74811321, 302859390, 918968723, 542509286, 408269165, 432576277, 299348486, 965340232, 945063776, 776904042, 314814357, 917537217, 445226053, 361690019, 377854611, 806438813, 874356011, 953408592, 88758728, 629721394, 394560786, 467327936, 978591162, 625189536, 84483516, 625765117, 320081860, 55459587, 481004160, 182883637, 697078908, 455207330, 297193843, 908466859, 180042859, 891381601, 474646235, 822804297, 902589720, 430815497, 764848479, 26075048, 517571004, 857293532, 950364011, 543570376, 497956348, 287840258, 46407443, 323241241, 167499937, 626120819, 275790081, 283275808, 990213455, 509150790, 950317751, 582775954, 623727075, 243781058, 935120728, 319461014, 845484719, 943580950, 136505467, 140991699, 863177744, 385813298, 952788056, 365289916, 752343863, 531845344, 379702328, 884056060, 23981423, 999573993, 28561136, 617221273, 678371576, 368125140, 734782184, 549020851, 187150746, 839029028, 225603459, 868042164, 935844717, 599650410, 647290056, 324236734, 817906739, 141316591, 88764454, 101591548, 40209308, 666924417, 910129813, 812234058, 345891800, 130302855, 654126196, 693355571, 778968941, 872322011, 449346707, 227619445, 116339776, 536960818, 825573405, 141979913, 793990758, 73629194, 425304557, 755327124, 880296659, 462748754, 164926548, 9361391, 846731182, 634305279, 195342500, 653982201, 152399071, 725829319, 102725646, 779809543, 569692954, 753792875, 749250577, 140447952, 484077933, 971334335, 108026300, 568415611, 825623100, 175344578, 512518839, 613395639, 125910018, 444380637, 772803195, 574240869, 440931800, 778183222, 316832677, 546355408, 572386009, 120387577, 332579685, 314434990, 771095260, 691989790, 166788753, 618493741, 94787043, 535294483, 134014637, 63135069, 573694892, 993253034, 756149954, 890921510, 747382767, 220740219, 70331102, 448492709, 128317721, 656152344, 274077342, 188473908, 871453827, 945610115, 789688342, 609795213, 283398208, 980704757, 232881411, 615546559, 441828414, 858067773, 905437065, 949516905, 814364405, 64920716, 189705642, 30473638, 277876935, 319332043, 908735102, 22304275, 35414842, 588613415, 468919456, 701931309, 361552819, 116587596, 804355479, 644629337, 458577604, 409287006, 317347166, 107964507, 748673668, 503393422, 799914420, 457321105, 11964948, 819876582, 516938402, 155329154, 153523346, 320507364, 512086134, 647534999, 870225804, 953312735, 792736853, 585450092, 573324524, 504264838, 944363572, 791335959, 980812765, 653508220, 19780945, 601844626, 51810991, 454887031, 156216758, 158578915, 164507871, 455462420, 868225095, 525263462, 857664008, 536319681, 937116595, 607766166, 555805768, 741721519, 432722554, 76416192, 459042702, 268869898, 368859267, 518800977, 803028566, 946183403, 664274029, 986174087, 378015499, 563181951, 314884474, 16704275, 234822475, 122640601, 435492063, 217836461, 392364179, 477934791, 286509734, 699541673, 143435145, 574740945, 632999480, 599243982, 539537864, 285584280, 241321950, 850680887, 99822252, 997008170, 340053751, 44841560, 120445549, 747390411, 612142224, 306863536, 271866773, 4279523, 786506700, 104778935, 550809450, 259291966, 771566343, 794959554, 834502131, 141352047, 659784828, 683953636, 518986060, 511554741, 493606043, 163779078, 773261369, 343282959, 23040400, 340085981, 839972836, 297381677, 536951838, 353572825, 416762909, 393487177, 795382144, 759241069, 649753264, 435041754, 816641707, 460444709, 747996722, 680123046, 543020478, 949293494, 686692738, 692848656, 152511843, 851367726, 834837008, 148696234, 703227859, 446736724, 285327443, 311612749, 770022775, 92171284, 468972874, 614757249, 965618081, 442273032, 779796203, 725221300, 829474811, 822329157, 638885601, 249094144, 866393753, 501542622, 544326778, 833374080, 558102947, 806000249, 155187883, 628860967, 672321290, 460096696, 73698378, 7609235, 398681639, 650129125, 559125644, 429643918, 946654182, 297389479, 162982966, 545386539, 320066077, 607903064, 800667396, 433348977, 975444296, 894944829, 641544745, 264327659, 829688217, 449088405, 525696858, 881923008, 682682314, 772670330, 632257526, 544151439, 680748951, 314168151, 218980153, 250359, 725506909, 330060892, 365560805, 7570396, 113793202, 700329762, 640334633, 177002449, 340193573, 245509781, 831988077, 226270173, 100113585, 973495055, 452955372, 719750472, 596764799, 286080670, 132975382, 848017770, 763241118, 106167406, 80069461, 275409312, 138227937, 127959675, 52489594, 77425962, 359147853, 490272267, 692741955, 260222264, 976469822, 154336131, 730617779, 111351429, 813190014, 3818031, 22270227, 921464503, 601288662, 477458257, 12055801, 306931187, 331144732, 906559065, 90984380, 975003679, 369678981, 11489379, 859964362, 625071750, 249614149, 915046031, 348954827, 363727948, 579779793, 493581796, 948567040, 265371504, 154729605, 387808411, 828796810, 581718364, 327614067, 710508897, 782332160, 155538252, 976389310, 928893857, 34746898, 293679122, 448638550, 829414294, 794870870, 549938955, 589479191, 740374868, 376448556, 81879798, 326071974, 963294609, 637429938, 847038364, 69703514, 853193074, 278658240, 713777245, 344786130, 600289795, 69302356, 649051643, 918713653, 674426680, 571187767, 506003956, 383455497, 92965884, 793227045, 728442281, 762841203, 818406435, 746501933, 653090944, 789798178, 449664138, 916927573, 732498028, 824414298, 199492636, 798758454, 294594632, 431349221, 102168853, 513516416, 191476263, 210400567, 256052903, 816165162, 853409622, 928799826, 994918325, 932553146, 555309709, 752418717, 349456191, 824199850, 217706720, 763624030, 565002191, 75969580, 574427774, 978865287, 567191805, 408960864, 482004040, 110685283, 432271847, 557668078, 824224432, 18648175, 10364359, 964873152, 186303998, 855902190, 180753696, 557619158, 218770707, 110855367, 215938652, 315449814, 330333255, 610724021, 736004060, 644963692, 455765239, 479242282, 132436626, 834518337, 560627114, 181236259, 725732205, 822876330, 202481807, 945303569, 637213095, 968758262, 624037207, 996252948, 814471981, 993950132, 848328985, 88621655, 674533178, 509213230, 408182794, 489403380, 855274501, 433822427, 316910125, 834253047, 783788744, 983682609, 562627094, 664776664, 29300829, 298515518, 94249560, 861406458, 765718952, 460741726, 38478667, 789221932, 499806861, 187072569, 50533955, 218763282, 242244907, 447699842, 247651345, 455887629, 81445289, 69440507, 345050016, 661703186, 420269540, 28486810, 899255912, 964521444, 753835929, 785643732, 676846047, 792056985, 547386165, 764590656, 906296127, 186742188, 766974237, 451266309, 153295625, 143052523, 330870232, 308403090, 219314918, 797942132, 177333740, 798291908, 687113329, 986363035, 106003676, 91292166, 478132781, 59185106, 665272528, 382825735, 815080387, 42614377, 670164987, 26673845, 254627834, 126189754, 638141412, 497019130, 314237757, 289495368, 715947466, 371238411, 7712945, 117291204, 799004181, 491068825, 571243388, 78395140, 245840863, 975682698, 783797669, 874671231, 60644705, 383135238, 245307795, 599721489, 768368921, 427804442, 977707058, 721684026, 501471154, 452073492, 526721976, 434178626, 954201161, 858516051, 557698322, 672754934, 787250561, 54294394, 323760529, 973072222, 874481693, 617919028, 25619748, 257854483, 716977858, 975390957, 648611819, 792912088, 84268966, 99675491, 395744592, 324574014, 705929169, 730770477, 456168081, 239013564, 112971413, 408453987, 528737752, 986748237, 783830279, 444790318, 189958744, 640940618, 98089799, 248482809, 490543308, 94547776, 428055548, 988840089, 566655153, 691098228, 680052681, 374524429, 351439019, 280642707, 45258087, 925672261, 883517522, 730956688, 406335493, 428668327, 328122645, 440108814, 833232513, 347965985, 951214961, 246576132, 487135476, 897335554, 145826579, 4153090, 120348453, 520506407, 515789724, 239270928, 766863208, 433573730, 735781430, 663190755, 687435807, 281340660, 307350535, 22807841, 998543632, 27678536, 400573950, 139758604, 841031690, 72083718, 355204718, 731558862, 80232386, 764216166, 378226759, 6590466, 122577154, 520707179, 675228003, 853419648, 906300791, 206639514, 251667329, 872665542, 251023013, 81222771, 694960433, 863374689, 802359235, 367993107, 640518336, 73138984, 246668022, 450527982, 705011681, 220937348, 591834622, 672487494, 189477688, 399071972, 922982397, 72039682, 720248062, 822781804, 383709297, 910025432, 529839663, 488370958, 662172394, 751075197, 593328987, 517816533, 248879161, 838734853, 628645670, 730786537, 905632059, 398310529, 957844463, 722680819, 123468267, 196576455, 801306672, 227115055, 813551158, 570937279, 632863735, 617777033, 594655585, 500783104, 928642093, 266920967, 822959292, 16929881, 821819524, 510255305, 38417798, 606281844, 943236692, 824901300, 154313914, 597999642, 172015391, 413900566, 324883491, 208807703, 926319416, 148127959, 483561730, 258127069, 425788563, 954949545, 565596283, 159900286, 593150465, 80157665, 435073345, 617655458, 400406327, 150047010, 895166013, 979817919, 16229942, 25267872, 605644018, 250097234, 466404922, 723175020, 243833686, 635163298, 418155738, 936195886, 682870098, 613331213, 44855373, 225442293, 935853134, 765005793, 616399381, 138150741, 168602641, 311468523, 160425349, 585114807, 314999581, 615413171, 699315554, 273595672, 782374020, 731329388, 27571834, 263501243, 235809533, 18319048, 84337407, 646403120, 70853526, 152629256, 395829989, 126637532, 95852831, 613452484, 366311003, 556033697, 161818222, 500297330, 323632654, 38791842, 163857061, 307890520, 795238172, 408691296, 908105130, 390436065, 273367170, 149080851, 832557043, 490600497, 888851427, 814516515, 486774766, 526423285, 17648515, 428683307, 219929549, 176261595, 712330270, 101128825, 17395307, 616476515, 105186333, 822195301, 633190682, 97825498, 297906695, 41255667, 863388094, 485453900, 705880444, 517933085, 9496792, 606366884, 21264073, 342317826, 894785865, 70646775, 894789376, 602136402, 623393174, 737339635, 237810328, 798572845, 661346178, 619571380, 782295742, 534169457, 814768557, 976459095, 938042590, 637575226, 998561150, 38733597, 603446004, 128048862, 102691584, 88186388, 607725678, 601645764, 627183143, 809918753, 9019218, 30700310, 79866920, 272325602, 410772466, 621411835, 591638797, 974633922, 93713353, 939400650, 443690755, 63675484, 472567819, 521139099, 152419538, 524715632, 191438956, 890859059, 6776185, 410514620, 634064515, 461037548, 153177353, 71715029, 596828341, 299799933, 351940389, 485048407, 73381106, 399962708, 533549030, 486255852, 234047647, 177904353, 733534195, 902062469, 51387293, 338709975, 55086399, 429933177, 42008961, 718442739, 710363516, 701401527, 870290139, 230927094, 218726850, 267847101, 542710036, 619333613, 520163519, 596540243, 95910354, 227987541, 246514176, 342616342, 414536786, 174731113, 13166335, 595463336, 474574065, 741628842, 853984814, 191427497, 355033646, 832172400, 485220046, 582881830, 189251335, 155405597, 197624559, 219672220, 357672047, 477103121, 30599531, 193885334, 621544420, 888666534, 460978028, 611775697, 522227088, 221600539, 447657224, 327741726, 4681497, 864291818, 792345197, 370889184, 3088514, 184696579, 205959930, 265559999, 577302387, 807543710, 391756066, 576828242, 72987057, 989920511, 314386016, 152062047, 594009914, 115608194, 456930663, 154582844, 119404200, 113371582, 724063568, 91833821, 258794394, 732793783, 779727530, 458586870, 910348859, 315750027, 220339839, 633017744, 724304452, 69037982, 583033272, 543073665, 468716946, 81589049, 573295824, 236836322, 507657707, 337665054, 118688975, 829969275, 753055263, 498802642, 199171788, 549863309, 254384291, 153530620, 418789160, 927313984, 238331378, 424935219, 902316678, 495222809, 229471851, 378026205, 464217119, 801581009, 130479389, 767157009, 774403995, 637281114, 493257789, 204871255, 301915766, 677889777, 748407210, 811275181, 70395693, 670233365, 36237643, 43601191, 735804133, 544535916, 844762402, 986068938, 139938271, 133994273, 70957955, 87815522, 944270058, 65628194, 602793543, 411346059, 477739472, 262570885, 149034197, 768689248, 477286635, 246924545, 758606531, 614265782, 172834893, 203902236, 530807736, 710516721, 614376769, 513669671, 564838564, 948384349, 576197673, 756807006, 203467953, 482131019, 410651561, 8075234, 542435180, 861894166, 354921318, 849911051, 374965441, 656504971, 673398195, 321603851, 508559559, 666425310, 139473879, 725260578, 646527600, 71559376, 485798556, 494517224, 70570882, 881080110, 145830712, 45584510, 760141449, 58086270, 989161278, 91913872, 455414313, 607947484, 443697201, 473253286, 190792892, 539988137, 272312561, 120213283, 667039206, 252227644, 454622880, 230093467, 670861284, 335977983, 606867754, 942341353, 119138127, 275792218, 872423222, 256767769, 688869188, 412830432, 666061505, 34056885, 486508402, 304245646, 520425309, 297965032, 902342160, 279750017, 414268144, 373504707, 352536494, 897795358, 421593790, 497149101, 457245073, 311106536, 209627416, 974667934, 857451410, 518944075, 704347711, 686308345, 452117020, 630884991, 697920509, 889413515, 86325168, 311152926, 12944262, 903718354, 373581411, 907056144, 224419446, 571503820, 416816088, 500105118, 524915246, 860498701, 637806023, 842035640, 150885990, 845814940, 133191617, 975576855, 140279040, 82681598, 55666894, 899066753, 84925764, 813390881, 653654736, 383555701, 243973356, 785888732, 898368549, 676698366, 409545517, 127776642, 170942373, 110613328, 907575394, 57725516, 578796935, 898879104, 719387965, 848199954, 810694395, 485586935, 194697880, 103261032, 388608624, 212448228, 758319212, 320238790, 207418497, 116782895, 712535663, 608991064, 785525144, 640712525, 290880051, 204774784, 745379105, 946507383, 897881131, 95134397, 839869677, 199605242, 831197201, 952372187, 758287260, 164261043, 462119008, 917235640, 801565288, 479658551, 291295002, 841441181, 77370219, 80451679, 820806338, 928390924, 605768067, 956162233, 472247286, 88726465, 113520311, 584596704, 285164432, 158223781, 371161392, 583068369, 96203622, 344386584, 493822891, 980160473, 207899488, 676897580, 981979477, 110359846, 354663452, 795504923, 583125272, 581970434, 148533286, 988869933, 430275343, 924061921, 79353698, 708120443, 34428812, 40783187, 758991760, 873834321, 824270967, 435256467, 115677896, 89558488, 917227465, 993511910, 654309058, 682174716, 594488997, 131607160, 950561348, 527327559, 149032197, 2722355, 512817369, 897582713, 536888657, 768280450, 736861636, 851400453, 668458582, 742990947, 450713365, 690386373, 560704577, 761497608, 98764977, 967549766, 691733464, 11369445, 956105927, 633021371, 842789701, 615377050, 337044466, 10340756, 951254477, 446625120, 534348725, 244816494, 589392264, 778821682, 47972684, 936991886, 131451834, 959074307, 897009421, 636348630, 45787785, 796612757, 420498906, 621931126, 939646302, 945877640, 704013299, 836059618, 157902250, 12137207, 917175178, 645928709, 689195401, 749082265, 830288681, 210856714, 21876957, 773711408, 2160241, 582583932, 576772702, 312088390, 717371973, 250569050, 87009367, 415718718, 689396212, 78261207, 586827105, 691946546, 460254495, 969657205, 827075437, 523426374, 830150103, 677574592, 746880962, 133790703, 500979678, 243682379, 68807879, 276258182, 282271171, 145450917, 461967913, 410782807, 9997560, 759041342, 451813440, 418333589, 329220693, 370380393, 665109197, 457808869, 828104299, 974490211, 29049982, 329288650, 395289146, 392539004, 174502709, 577613442, 895109517, 75277104, 297907604, 130809399, 340628735, 437101900, 619523178, 712921322, 815166196, 321130095, 668107469, 216326609, 857094090, 575685758, 747966894, 539800968, 70190863, 511042315, 147078166, 455830025, 27134580, 907253912, 764659204, 571286601, 318663285, 315301684, 171722844, 398651801, 260985793, 434898432, 916090203, 909161211, 594754113, 620026481, 241919805, 622058598, 671332560, 360924856, 328204549, 840070920, 862153014, 970563959, 858278262, 873267813, 718861951, 417000171, 887921966, 456637430, 948217321, 734977215, 525207712, 244170579, 396813836, 34742954, 500523373, 847983383, 85164499, 940979703, 584348100, 822897974, 707251941, 704031467, 974411837, 44515729, 445208519, 422971647, 338291197, 809369816, 942266851, 771209737, 111984565, 773787912, 67870169, 58724598, 691861919, 235108551, 772555639, 138875457, 230002801, 925306119, 309320776, 402847394, 176931448, 403379594, 999075680, 514530717, 528489616, 763515118, 297519964, 476860890, 267976428, 973237854, 671161092, 120302790, 128300636, 162891793, 873091755, 553782187, 32923232, 365872215, 435257964, 504098887, 945516462, 190992407, 296729058, 350414400, 303132348, 932166574, 53207399, 969965802, 382237064, 244346859, 359648425, 41797209, 934790097, 261443606, 484209773, 771447287, 989781717, 726556473, 999104715, 438710144, 321829015, 406220601, 648721877, 254237969, 65014417, 7415832, 939850242, 613061069, 907366704, 616698690, 600726324, 844645737, 886477842, 863229716, 254598129, 99040456, 723959456, 922624637, 147799631, 484665906, 356550204, 983563017, 758122872, 866198363, 375809858, 556139810, 834491346, 410248745, 931403479, 490467639, 554659450, 897856179, 739214920, 161500438, 283151294, 892067565, 131783173, 604190423, 891836579, 650389206, 349474614, 359297948, 467261265, 839275372, 951096686, 3618722, 978909775, 700723532, 892681586, 340320558, 365491991, 220058940, 666772318, 39511707, 750257253, 668850299, 32913987, 975794017, 922629816, 349520006, 701146330, 315372714, 118661482, 907868479, 747236776, 47913721, 747499008, 425394755, 924349351, 973040113, 412260701, 312818803, 158073712, 208107491, 328555737, 325407118, 836910890, 895921453, 549993768, 373119081, 726802565, 490589828, 758064638, 779431824, 850848033, 446942668, 202185650, 334450820, 745591594, 167343711, 114800147, 792606757, 408362842, 8275247, 753731054, 422438491, 381891911, 400984128, 524481208, 57773056, 683163894, 571479950, 235112092, 152127344, 97092228, 439909624, 333760915, 977902177, 861867260, 666752643, 942837155, 738359525, 523645912, 391600118, 444799705, 445698445, 634914783, 220027628, 708584818, 160975257, 484872522, 321462316, 433918545, 773258017, 964607727, 174660043, 570120687, 653935897, 244346789, 355714095, 783655287, 110402401, 743463181, 783110991, 102109035, 803604025, 55598292, 252075884, 387655319, 431384653, 795830605, 18371316, 561401438, 721974197, 114951709, 307683925, 272091573, 923769490, 473232910, 529901166, 962744357, 208041383, 772820073, 38924308, 416999242, 317930293, 368798422, 661204508, 71615221, 440506677, 28658788, 582591679, 295708085, 79872400, 453580063, 674704917, 752482745, 936620702, 763009656, 150904461, 316884143, 65003366, 17757695, 883204543, 870548686, 210816309, 68159514, 941087745, 943784067, 508947193, 822170877, 95224195, 473499561, 763563129, 123621955, 691346549, 147905724, 750579535, 326704800, 108508276, 598368341, 159872989, 819389483, 582005783, 365930006, 231482203, 774918057, 188782617, 972744542, 542985121, 980578995, 106753758, 230408583, 450315597, 734005159, 824775738, 664240161, 919813251, 870439061, 131546678, 717594900, 393935891, 323152376, 951206089, 342153812, 564440003, 305242461, 681717990, 508319647, 43248030, 357762160, 392296333, 658524714, 310008709, 899819862, 759846170, 174734585, 945980858, 614667479, 692441556, 492486077, 741100596, 87423365, 920010658, 191932439, 319112111, 744253714, 233566239, 371466185, 833059978, 837786401, 213001560, 890978300, 602925497, 537077284, 318169276, 703638730, 113388369, 327031614, 109616158, 518763281, 996938235, 541672322, 892108842, 530623004, 287427600, 91136705, 322843887, 932443835, 896854247, 553968266, 574014113, 200506112, 31368682, 203384892, 914462254, 461288372, 661680098, 557388811, 331052462, 195184116, 604472224, 292709557, 256938315, 331300418, 544890368, 887095271, 439087278, 568073466, 973742352, 126514013, 591989927, 295182847, 246378620, 824495449, 384896537, 282204798, 711054013, 815652987, 182740342, 537606479, 204652739, 109295182, 685626696, 428968117, 314993047, 997881891, 935030561, 441057273, 4353999, 986116423, 436237489, 994008535, 765275720, 152583328, 973121224, 861895335, 679716567, 267568710, 826367153, 498133032, 104824745, 809900454, 604052174, 647251685, 469978089, 343636177, 993938230, 277103936, 755134612, 194765050, 522870822, 9525929, 453305080, 705532921, 788485133, 654223745, 240893473, 433368860, 396151139, 876287545, 942016004, 394400976, 183139770, 753439935, 16482884, 74153928, 105673088, 131274640, 931694829, 536944066, 531676448, 525433121, 538687978, 302733709, 385252157, 655585847, 349116304, 640856465, 714351334, 180059136, 229734664, 875477147, 469158939, 334520211, 706095306, 576960779, 612414569, 706412438, 782438352, 893949503, 49116056, 550270449, 167631187, 697446117, 559953143, 724260299, 206241044, 465177151, 570167383, 315518577, 996344793, 520403556, 557066833, 98848892, 321195504, 971639911, 934958853, 393689587, 387592688, 956746161, 734055765, 449070542, 406847364, 422924355, 39836533, 388598133, 293266517, 335387816, 728694242, 47830415, 452991846, 638177062, 886640939, 202323072, 489195779, 472310824, 47825640, 408019857, 211507981, 889089313, 892640149, 624189735, 437064264, 352937136, 853713602, 6067973, 785197831, 773881007, 867265480, 4956879, 596633406, 780207028, 748228620, 898302151, 460979363, 228769532, 90321207, 37352606, 8960766, 176494791, 213376174, 23814436, 229889863, 512672198, 437684568, 252998119, 113051724, 122697921, 897395992, 261421594, 357358272, 508851149, 388019548, 752197510, 927176796, 147305254, 504013831, 299110426, 855718982, 174679512, 948426736, 308682504, 758088227, 388759491, 39233858, 870257119, 631716892, 875762971, 961337489, 275336469, 567491037, 70837343, 423185407, 808657161, 283442286, 188018029, 531029166, 616706714, 19525019, 901426336, 650671043, 159072103, 578395691, 913972117, 713326385, 424410997, 442579801, 444632696, 612580972, 547212086, 935533347, 708473952, 227550807, 185371338, 390550725, 885709273, 162554710, 236329027, 737727317, 292515306, 754737813, 576986482, 368191796, 674146645, 629861908, 221241874, 419138508, 865992131, 470210619, 388968498, 117441066, 663599400, 440054224, 317997809, 847999017, 60996199, 872942093, 758308133, 939793521, 841522295, 975926622, 357940627, 142623708, 596234994, 18583713, 463502293, 356463841, 432022553, 662876960, 499701618, 842266814, 77325287, 976888172, 35662175, 384624082, 54677330, 896748893, 812531415, 304982948, 299773502, 180910260, 84737821, 266748056, 351269052, 258959313, 269077203, 516661597, 675065566, 941948350, 845239224, 706257059, 389346998, 373900824, 143552267, 916697086, 965307886, 514298947, 672208212, 644662089, 556539008, 974107352, 213882084, 19516788, 104788722, 935197979, 655462594, 861656211, 46853438, 462526007, 40434493, 187907463, 792235940, 268196122, 221134340, 303619783, 107932346, 562464196, 394815099, 962935155, 487984872, 640006630, 378786662, 304058729, 987348000, 380627871, 173849265, 878860841, 771259305, 908390158, 994368444, 356609090, 808012215, 805162786, 244571652, 574003351, 471362130, 770732387, 851832213, 492118381, 396068109, 645269811, 953974643, 433427989, 403252528, 363297296, 144538220, 573166509, 772899924, 318677830, 562559350, 28648918, 924578676, 570448645, 192628492, 489192013, 709865314, 331441340, 131879515, 25536171, 713295258, 659947021, 615369000, 554292120, 18751696, 472882353, 271534333, 265268256, 58458586, 105392515, 694419840, 832379790, 903173330, 272584733, 121136076, 971535805, 608776376, 631015627, 738969536, 151669569, 481186921, 974608718, 536103525, 113424074, 352035245, 572293276, 622977803, 612798337, 913667652, 896074838, 900986348, 10057748, 425048234, 831569974, 164931289, 869332833, 390461801, 119287882, 948612153, 835054941, 64873963, 687448147, 624228437, 644532673, 402947762, 906052358, 346258454, 243148458, 793263317, 841958256, 116453136, 121191887, 140556429, 4369793, 886273109, 354040573, 568974011, 189182379, 159605555, 703511977, 9931825, 292307826, 813415209, 568236278, 873330311, 414456726, 898411775, 320026589, 655576635, 330224625, 379642089, 124549144, 566740044, 424176299, 451978714, 899312974, 147693843, 11293260, 903161519, 54329462, 97761597, 910290025, 488269707, 974943903, 654561394, 66789580, 185836296, 671685132, 202424624, 98712859, 656528823, 349734464, 616762264, 348232843, 113961305, 699801092, 176099971, 963153669, 287175030, 624479822, 989632914, 77246486, 660526733, 400321950, 440471877, 118187333, 17093199, 358701044, 305134918, 482666284, 656700235, 257202705, 61749441, 684565902, 853324820, 952924805, 759079919, 447728929, 704796880, 138347922, 128442580, 848513077, 181842935, 936335087, 134225379, 304807785, 802256003, 604343865, 968659146, 801616700, 787992113, 425994249, 933219240, 830613508, 384577294, 219398608, 663274838, 367959059, 751585434, 374451877, 711650619, 380979143, 796039877, 261936184, 849421496, 561652520, 146515690, 18966445, 898417520, 953464208, 378947621, 202188167, 888873533, 504328276, 843880531, 795814922, 494802316, 524341068, 870423704, 432494876, 842614832, 443855379, 306557581, 528800162, 732194326, 887304987, 332627822, 233189462, 504981122, 51043141, 370655737, 760647539, 654183225, 543312427, 436562325, 678034729, 490818356, 304272740, 594795867, 952458368, 463662700, 410880627, 844398133, 891532866, 149505404, 819410272, 280422395, 119417016, 786445639, 409925014, 814498446, 506342168, 896590252, 156561716, 718291297, 768622089, 474118039, 731459452, 843034720, 290700353, 629020904, 613879173, 710953464, 256823005, 388590875, 559425222, 582365718, 622038039, 508872286, 790380106, 539376522, 234445354, 355752633, 574341270, 792483628, 74469735, 969077063, 802599764, 565480416, 272038720, 438083990, 669040030, 380589503, 41209055, 886071850, 432083638, 22727062, 845724656, 643704692, 844898512, 384220220, 285447924, 4581843, 737871565, 646129020, 383525703, 96912955, 860501922, 504658773, 72470098, 73121062, 907485123, 537352080, 136447333, 45796825, 377346461, 496868167, 339949169, 616379205, 973383965, 292405637, 252247048, 374986262, 514647041, 399905614, 358416417, 765942818, 943953522, 4498282, 741498589, 747136108, 786765548, 111312900, 954793679, 185355380, 370175835, 587557473, 978160583, 888214355, 991614966, 121732191, 557029992, 976594545, 658421606, 207983658, 159822950, 734973550, 370256822, 628924226, 157495767, 828427629, 745894413, 671258756, 75945124, 695212356, 533366192, 869140298, 826855139, 378475419, 238501410, 478038807, 4994280, 53132738, 284723855, 726357016, 32025022, 424450753, 749368249, 275261145, 62201615, 319919194, 400241431, 670589381, 663528021, 978605192, 847423944, 231328792, 487460855, 116972207, 216081711, 560612657, 750648123, 511879252, 478800767, 245837621, 443807583, 558051246, 403293063, 677078556, 568598802, 795677368, 250736866, 767634841, 844340540, 516489996, 657385413, 904593322, 572775206, 317272459, 525961366, 384875101, 26942995, 380425300, 926918615, 260054523, 29307227, 902738656, 677701701, 495538256, 456393878, 882205921, 762758406, 33086750, 600257622, 160741517, 267120963, 452037721, 961995150, 490012313, 231610223, 662918837, 388870725, 539804678, 838374663, 102637032, 178519889, 304645570, 304811942, 718473640, 936119820, 402905607, 772924031, 92172179, 965284760, 289628208, 360104078, 580074665, 29769301, 831118407, 825456384, 506597333, 862822554, 622079035, 478571775, 739483512, 720483455, 388219479, 177790139, 579345556, 382665303, 551567275, 89669640, 162407259, 384436686, 462628460, 486745427, 369067462, 563926906, 501939065, 960127551, 444901733, 403088373, 678464889, 319988631, 569898486, 913165351, 478794965, 262898915, 774209864, 480797472, 914837248, 65985007, 45334999, 843201860, 28801187, 287147857, 957408941, 682861006, 584734396, 403167998, 984362890, 500257721, 856594256, 528244865, 707771667, 980330473, 895780067, 259593816, 838878176, 370105724, 288103794, 191702596, 494661117, 20984306, 568021285, 965006156, 181689451, 935848212, 132594204, 922827728, 69205709, 288507984, 513473106, 486202606, 454899819, 26712989, 453310031, 581797927, 411141410, 846737280, 116186094, 326106936, 809216551, 7904790, 979453540, 623208614, 276850322, 601119332, 906540098, 326844237, 753465612, 552654419, 986772339, 19625893, 706199313, 415911701, 788213185, 308397603, 988533951, 431347944, 412465514, 782755244, 603663614, 476126821, 61695130, 981233142, 77947254, 274331433, 52418929, 904936134, 501957264, 681624643, 235282521, 804211255, 917569771, 404213800, 87393984, 499260173, 151875047, 725077696, 597278976, 361567274, 803133059, 805938421, 34131400, 980010717, 658453079, 921693223, 757242902, 124392504, 887449541, 997215094, 503504879, 712282694, 167788940, 385176814, 148560816, 460435999, 17770685, 638683699, 894985418, 202167138, 166771798, 90833795, 324801899, 135810230, 534063419, 528883442, 5418578, 297833925, 866775619, 40397360, 960978892, 592548338, 847356886, 1555518, 870467780, 568670938, 21484019, 767019123, 831880808, 419743778, 401709780, 585321209, 602328741, 239667686, 678774414, 871766697, 982157094, 723025623, 185987815, 16794967, 231875470, 19535012, 29551196, 78683048, 952378376, 650248590, 340006463, 561579805, 725312193, 609386139, 330947161, 353651511, 988732394, 634512269, 766168487, 928516329, 301920883, 638821212, 869863, 253725908, 550236729, 536538077, 666068409, 162734673, 479617393, 894192806, 857434344, 225065026, 805479574, 280448059, 249020295, 985982865, 242963396, 629803986, 801767321, 548320256, 869596227, 796054547, 42785693, 299133898, 119564049, 918500916, 785582245, 876392600, 513419541, 629987577, 251957943, 4203079, 103642626, 567342608, 207104062, 433467317, 647245271, 556792645, 135781044, 518632861, 915596580, 151352267, 326013750, 908295636, 582827035, 843619929, 675474129, 98637462, 807432072, 662029376, 864930166, 896162238, 506280992, 710334662, 942790440, 517929066, 565707417, 351745282, 73574527, 895905491, 60747584, 445719563, 627423167, 121106616, 601970108, 336438994, 511046097, 108210676, 481577641, 668988150, 683466633, 100891880, 166829156, 869555218, 633687078, 535882477, 548901998, 189831315, 190574456, 321445186, 33051332, 774725834, 40336098, 77230220, 902162081, 23629649, 715456076, 225491767, 99325036, 515950352, 182539137, 200681118, 863600358, 755525690, 843693099, 180067637, 880038208, 57447722, 807816398, 559277845, 651917444, 831644488, 461353630, 384181062, 790869964, 994573122, 388242985, 547327588, 708897084, 837304021, 180783056, 949935527, 368448583, 890780377, 199950205, 110880794, 585301377, 955743462, 574937080, 118264911, 821939593, 507112373, 997364290, 39638195, 205248970, 119094607, 965322868, 914759182, 785746383, 345804065, 226535253, 41039728, 527762043, 935716369, 358605920, 815122306, 445216435, 46016383, 693444718, 350551322, 674944064, 75971740, 696828850, 157531252, 482801380, 54318649, 771995061, 823650335, 46647383, 205195520, 221932471, 901025882, 940460722, 600110429, 213010087, 901901108, 476422036, 933212644, 851278444, 622715957, 885498355, 404570115, 888745486, 302993661, 693954869, 798918378, 684022814, 142681512, 559204485, 361172828, 807713438, 209664299, 2220957, 164515215, 500243067, 35655138, 606010734, 816529147, 966521020, 803582292, 812792643, 612269348, 474274598, 684501887, 153880867, 508936069, 979811141, 91312745, 456661887, 229087949, 551412728, 875847185, 797468147, 29696038, 558668121, 569479686, 370353401, 128187570, 141789601, 149733650, 424739900, 312920971, 670690512, 332142418, 499326763, 646697894, 60861033, 982017679, 481800619, 988726053, 260520863, 971024431, 706534019, 383334347, 810679944, 959556974, 322151962, 819022877, 240738690, 928425654, 542829222, 614484421, 643827079, 557200418, 195448446, 635076710, 504563405, 526122381, 643244062, 157672403, 397865906, 84674857, 874310539, 254605353, 520116039, 22104821, 767281997, 56964284, 369095497, 910326852, 345225785, 469516968, 891377978, 218069747, 705638496, 45893085, 434754547, 50072380, 533734857, 466624144, 772134005, 977712198, 791441087, 135977581, 491244891, 8905165, 758285706, 119017272, 205403768, 191656029, 264763799, 403788431, 818893659, 877463444, 220681599, 244201127, 695916762, 254991858, 18767492, 305147005, 282369903, 35790819, 460788517, 142379579, 3826478, 772600802, 576688051, 641427286, 6336143, 86567583, 267091593, 883827807, 446248101, 565610354, 489409297, 399570192, 145536236, 68273487, 350674863, 416738430, 269015064, 973484181, 486412585, 55745012, 656413820, 855935579, 50768655, 954650468, 581700177, 81142000, 393261609, 221313720, 105172558, 955082278, 656814704, 796936512, 569119682, 916465700, 73138269, 575994604, 122670924, 283769295, 91672758, 8836646, 798111447, 869494472, 10081545, 345971998, 151558007, 546384561, 765998603, 148259907, 294175221, 764537384, 252651829, 164921696, 475761936, 704962543, 881172678, 510046750, 825081809, 255386896, 883413581, 11672981, 293249102, 436663516, 590747811, 655144299, 465414875, 350872517, 413849935, 256617155, 854609058, 473208340, 904741096, 24451213, 664705897, 641804971, 200816220, 101955852, 809460348, 527040452, 995378424, 226976910, 625670396, 226604231, 963101593, 598659826, 757800005, 960267270, 142736970, 764276006, 379279245, 931291005, 355575411, 573230158, 355203734, 911354696, 152193850, 908930328, 77490475, 927651905, 840557449, 335142359, 855089445, 663067987, 349630148, 681992294, 841778835, 36024968, 127827073, 851181847, 510956210, 484277277, 726570974, 440210209, 770811001, 701819816, 708415798, 329029125, 438184284, 903222420, 488018929, 173058245, 617109011, 703946029, 650965030, 675170337, 124587861, 100500242, 713504201, 660553188, 866130313, 602835135, 565348498, 240021297, 249358644, 803466080, 702118784, 12021438, 386867951, 607232630, 892617854, 188452174, 361914106, 239468732, 327533253, 725785123, 916708655, 954664314, 658029174, 490099756, 753004095, 940112358, 856083429, 875991579, 879918272, 992188119, 744571559, 480591859, 49930022, 696933384, 415570059, 791113918, 345605749, 887494816, 762419054, 247297058, 435047355, 984149638, 647748008, 654051106, 891730422, 641073991, 995232890, 968340265, 644412013, 869206568, 824157175, 876280817, 666470387, 617236728, 912974728, 631732778, 752985481, 408914752, 891439896, 812401283, 372237824, 765251210, 748114865, 923757928, 641958286, 118300761, 28837725, 826808481, 391011768, 697837032, 877585709, 96669488, 351930878, 62124924, 427660118, 772318449, 150639371, 614075926, 211204966, 164635391, 524322634, 252354623, 268204551, 168781852, 351338206, 297818516, 956860163, 160103377, 115005732, 95228405, 334320417, 346889324, 705711797, 763131388, 456788898, 930866840, 522097137, 407628698, 549416929, 38568009, 675177355, 288034371, 186614316, 672863454, 752020138, 422470234, 568048671, 404023313, 385804581, 442624771, 156266992, 442190102, 979874130, 219938693, 570328058, 797170644, 685194615, 222490790, 746301825, 28561130, 329441498, 677422605, 715577752, 330925442, 787517815, 486689726, 62935579, 301088322, 297559764, 75424756, 963793789, 343693807, 116125458, 811117538, 255108074, 270916867, 870987276, 180345171, 178160203, 547330966, 740457929, 327878842, 804810298, 12592611, 731203452, 892071263, 679176462, 818076080, 183120509, 507627471, 54114337, 657757100, 109506958, 956106753, 701585778, 642588361, 250484878, 444395188, 135862881, 862571231, 140536973, 534381602, 375466866, 734282985, 670800566, 378072047, 469692493, 931514100, 683560260, 605630788, 878768880, 581089872, 671711794, 683158797, 700315545, 792433778, 237732782, 630164771, 70483599, 140802674, 405384279, 542288502, 748884049, 751357403, 141954625, 450863021, 252657036, 353740427, 752926802, 442322355, 579535335, 406263693, 898475977, 891832837, 592252750, 190545028, 801566452, 687397329, 215894673, 507575640, 288485930, 640107226, 613186569, 924047538, 66624226, 878186500, 709112790, 622122539, 331384401, 12058216, 485463591, 462932653, 325484648, 621809756, 471872639, 540096343, 958473580, 544997776, 114173477, 316433802, 8662414, 845831467, 264377298, 14470438, 846556828, 671698635, 579468539, 639320030, 240982578, 842355844, 454172488, 552580382, 283083808, 668981564, 293101323, 895602262, 4813355, 207530083, 301431738, 780889889, 408393307, 120228756, 668954804, 986865104, 629747081, 606321137, 402791225, 283955189, 35564436, 602484554, 338622121, 784204193, 148597861, 227406318, 440055844, 566311735, 128167847, 829151432, 689542755, 607337137, 733302732, 221522665, 258835184, 596316179, 624973760, 637511818, 303314679, 169162819, 429147635, 826788001, 672694596, 578680350, 490432063, 935521734, 91428443, 882227790, 862736242, 452919606, 451043172, 251386733, 961442264, 518224035, 801237848, 536428097, 248262660, 663057929, 433065248, 634870000, 662810663, 399879591, 61079136, 512116799, 609803265, 313724657, 217891194, 482282523, 669683161, 199096124, 22817740, 499329399, 579604923, 936700695, 769107124, 165509763, 790219959, 912946570, 319361873, 452192714, 754148004, 204308276, 888335813, 559691923, 492914699, 931770357, 709677162, 365854508, 66616040, 694790830, 657173073, 619949657, 395264561, 413561727, 100024944, 218651029, 469423616, 755610858, 106747916, 950301288, 690779466, 315074253, 206665365, 283341926, 927871722, 724015964, 959182210, 521556122, 984460220, 157790948, 448595300, 864121929, 987274867, 256252463, 314734973, 805174901, 727619569, 930393156, 200695991, 231998820, 20910271, 461177505, 116744704, 337765102, 622035637, 267798070, 549051367, 2388137, 955477512, 856183238, 898569242, 449087121, 530866563, 998444564, 535322698, 46444835, 801824231, 757389454, 168017261, 450622813, 219555821, 914476766, 339943366, 342413253, 231281861, 481661674, 580671010, 492172316, 690231827, 264792898, 15584009, 738881519, 773870215, 971683733, 931390049, 237667396, 705422211, 373417233, 165140694, 369189177, 826372183, 231605954, 363748446, 639717562, 409049362, 713980947, 280334434, 981392349, 399777582, 755829009, 641109007, 533134352, 569535481, 21682908, 844939003, 685828737, 158258779, 906105379, 885163131, 817629887, 390664337, 559736932, 857407745, 895791430, 61644251, 652252369, 306368789, 26658764, 152487549, 269956414, 961769444, 32508691, 6334457, 964158821, 981002465, 62818981, 154012940, 127527378, 511067661, 785266628, 707148671, 151393746, 469660087, 106140478, 24355594, 773163319, 870355633, 3747128, 407481579, 664920250, 203026174, 75490644, 744377430, 888083312, 427003259, 848105885, 779205612, 760196905, 91655303, 253306598, 670802617, 798512115, 488690673, 912651182, 33806091, 443556127, 408657410, 693626500, 603396463, 968067468, 856171867, 438156029, 465668780, 543736088, 58210182, 507845865, 543139986, 288282290, 547218313, 657330476, 314357582, 172465593, 131861636, 120498931, 831030663, 706244999, 784450012, 405247240, 905901697, 988475100, 592772849, 152048730, 496571747, 10729427, 479220090, 886749715, 236584527, 302307453, 857547289, 790314590, 662877952, 928773332, 563923659, 444695288, 953546734, 440431494, 666250429, 525167525, 499158668, 804968843, 788445114, 859279639, 620293519, 273538467, 768978503, 119658213, 384082735, 380183391, 474086152, 148778391, 413767607, 331208031, 686466174, 288280417, 887150731, 261089601, 128966417, 335234238, 739921472, 755510742, 851145826, 846854168, 970589759, 210592544, 863516323, 511389397, 498676806, 485632885, 310488689, 496308739, 446766243, 313392030, 683165700, 458634852, 985195469, 571160578, 634717501, 927139864, 660572169, 846223365, 447562542, 197594910, 86064939, 548028712, 867946698, 658662840, 184888848, 512950751, 196554925, 415719629, 152853144, 712516794, 858566445, 700068655, 138560952, 854295280, 587268778, 423111961, 505813685, 782671381, 813274411, 896266162, 634457289, 610099420, 391868110, 812312549, 385523785, 200203568, 352125688, 636215684, 773739372, 501155314, 851827232, 571918818, 25742386, 675469179, 563816638, 163858581, 100057886, 243000712, 354690779, 248578498, 100645915, 78989658, 83071524, 109218658, 760013953, 946950680, 944023293, 258156395, 92495178, 743732570, 988132844, 926826307, 638980712, 38521659, 547286674, 571530061, 972452170, 766209055, 628531330, 790825436, 732898574, 740988095, 640600812, 172711939, 702643911, 507923808, 468802022, 172421986, 319890421, 867851747, 173861881, 262384081, 886671671, 610973456, 667355424, 974054228, 375074980, 564122415, 231128793, 72554370, 535459111, 474381993, 182981706, 517319067, 509513506, 494611742, 4897063, 699491899, 129399804, 999313432, 962822023, 200754663, 899941705, 901370838, 722703112, 637560343, 990874954, 456490914, 449768343, 879869079, 163189837, 909356788, 239378938, 698804488, 901814188, 214164624, 371313036, 959244468, 878798600, 838638448, 117832645, 753168762, 677002913, 380091873, 674844527, 727246001, 274227621, 150490961, 990518587, 974003486, 266181675, 282301597, 972167040, 235131399, 303099385, 496369837, 156910344, 446693346, 169837278, 278740440, 120476105, 883493641, 255982150, 876774726, 931733168, 895299922, 111869257, 265661307, 526368643, 908827021, 768010066, 961656742, 345715707, 996053311, 940050577, 451100326, 199538628, 422028476, 54620178, 446049680, 24224780, 212456562, 839562968, 807229590, 799398765, 857819575, 799093093, 158422129, 108036875, 188881270, 942431236, 897907739, 527430463, 288042614, 507451625, 195292203, 182034877, 283705774, 941855340, 852650717, 146287004, 546829202, 736949755, 848882374, 237263872, 237531841, 457759661, 562460584, 205827234, 660216366, 5876517, 509207609, 616995849, 614927607, 463436470, 597962170, 45410610, 995574661, 290368112, 552981521, 461600589, 124387933, 269481951, 772732477, 564704342, 507493304, 253602786, 79019496, 281895622, 193900081, 53028975, 967930747, 589330673, 131089561, 904854366, 591395509, 519102039, 157978136, 704842741, 660831025, 242312781, 995605429, 808039878, 7599648, 208419789, 895122834, 777804599, 675799176, 4969659, 466556598, 547403399, 6800609, 336795970, 56611159, 796274480, 462472734, 942953663, 775263954, 984364692, 737444285, 977402653, 789013026, 775065362, 421780275, 980222510, 682764376, 150018198, 686630403, 875195119, 492340963, 265431490, 868035037, 835675657, 895631763, 352488077, 149537863, 12955227, 970294698, 535870627, 231497858, 612751675, 188746129, 919206881, 80513552, 570775999, 409410748, 667027650, 981402501, 372954447, 571672319, 85518137, 470088602, 10641316, 368628823, 16200275, 856510839, 931277696, 60248852, 572844943, 561732605, 936488166, 762174959, 283482872, 142568518, 343420712, 79899936, 700895578, 454618924, 618947151, 810135880, 26145878, 290952596, 317714509, 10358530, 517443353, 928069211, 243237140, 756109419, 630771020, 792204435, 600129567, 933392418, 309929763, 718681869, 209558404, 414346032, 845235605, 451688597, 590039639, 225364932, 868822505, 562043201, 117553030, 453207679, 881484264, 236598664, 893583022, 606421640, 778785360, 544451503, 235240939, 710694655, 353205797, 107913432, 543774486, 582138670, 635583512, 506917698, 203028967, 501643484, 710028233, 363656922, 73848638, 941450014, 836594971, 541953461, 985120451, 81792045, 614885093, 31190508, 661388997, 378063153, 222362426, 440922778, 583458319, 778989574, 389675147, 272327624, 357584148, 376691650, 129559305, 256007202, 111472662, 256685519, 159057007, 971637971, 51025795, 561444464, 84015802, 654993487, 182015179, 704791697, 23809205, 61515549, 475187587, 268766005, 383431515, 675516060, 505566653, 607547089, 998153221, 354921480, 129837825, 767458434, 220768027, 825317094, 416034834, 317386751, 134699936, 652542258, 903775459, 991987514, 409484773, 60380519, 774316886, 611776551, 168009533, 295245211, 173485485, 618512776, 173822021, 261306222, 322432117, 516745068, 841487040, 608726123, 750719132, 281848606, 879065244, 463836917, 10884985, 764728353, 639450782, 131494384, 653909997, 328840753, 779949934, 49481494, 677930328, 733172154, 560094917, 365333213, 663572332, 914132032, 182281371, 731327710, 865935225, 364083380, 709981690, 292386635, 34426291, 757838178, 581828752, 206598244, 7610163, 17503622, 199029497, 271253890, 774298741, 672332343, 281576999, 139250078, 373206626, 127152059, 540760969, 786049200, 1519567, 262843266, 254311643, 893976612, 325888497, 388257927, 381866694, 44616252, 533342122, 126616385, 428290997, 656348225, 839706703, 140225250, 776414387, 5585369, 603872922, 930943271, 88745964, 803208724, 186303258, 48742589, 576898900, 571841658, 786517719, 108212747, 81457808, 876632901, 860384833, 941688372, 569021731, 149715112, 352671952, 712511884, 326807220, 347586542, 533738626, 448380399, 74427558, 808796802, 22239895, 564733321, 86765650, 707340043, 280205772, 363644332, 385105936, 975914745, 154890956, 917663344, 135706182, 512211962, 492333532, 711583469, 306230660, 231745094, 242927153, 400571572, 479157853, 12493947, 961848809, 631521147, 260077021, 972167508, 668303273, 590741108, 927320855, 707316102, 290285216, 562117649, 711678647, 204317108, 108119281, 926449912, 29062264, 725932470, 949659538, 877569940, 375181432, 463267263, 363056520, 679759736, 121435625, 246799508, 669340566, 538810977, 306554737, 253144594, 795522177, 50372655, 223768231, 949512332, 821304193, 966460199, 578516795, 796621954, 972661636, 765349915, 676762072, 103816652, 139450104, 486619174, 191472832, 60890087, 679830563, 575164020, 837976493, 195758697, 472046089, 774991289, 341631016, 212017104, 511732970, 329859088, 656930908, 160117272, 98495046, 626501224, 316013620, 893977108, 333934960, 367819380, 938350109, 995501121, 719857176, 430151380, 45686052, 53428336, 360812305, 505127177, 21533336, 723497633, 41336295, 517331646, 110666859, 735805309, 637549244, 576008193, 171012526, 995521287, 678471898, 433300543, 456993412, 45333492, 338074584, 108454846, 946637457, 566655824, 444851619, 770004731, 590527992, 329831278, 899215721, 691744857, 342323767, 583334479, 217839633, 680572771, 583806058, 426854024, 991463760, 315530042, 3913938, 204852870, 668207150, 164975995, 761618770, 640584119, 378462827, 171753637, 299727009, 852209928, 452870623, 942682863, 433191544, 473571336, 874051939, 765282733, 143881903, 417777563, 844866587, 492141878, 416800245, 25078759, 749181968, 748966612, 666550937, 438249682, 355995823, 773179235, 311334761, 928691412, 100708785, 884135793, 338266591, 467122858, 822645419, 813247111, 14879782, 188413542, 268442580, 547104173, 490328337, 989052803, 52096881, 370681143, 429705426, 9189120, 229223464, 529264284, 608626725, 808120390, 636226430, 429778900, 746587764, 27175542, 912310102, 717423387, 26237452, 996066465, 956174421, 184705179, 770960734, 971790063, 254812302, 240721654, 907655248, 729368194, 669295083, 869490044, 919283892, 100158327, 789158938, 975674178, 636734872, 472727144, 436118720, 687369217, 633730754, 84978723, 828216160, 792530015, 225778297, 188408595, 777436975, 341272909, 13092671, 994044427, 20974526, 426672291, 140293702, 712891415, 597637840, 421813799, 881848724, 993694452, 922937813, 152886100, 481906564, 747244962, 145770989, 412516565, 105969233, 784024866, 162250925, 418015540, 125547103, 236337926, 454160683, 102945238, 453180564, 589035943, 93796238, 474812029, 278924856, 114572044, 862793713, 551889684, 820843540, 105897919, 863191679, 817608931, 841528657, 395233466, 157437476, 132945006, 399927719, 654966331, 344893043, 875455676, 647293190, 76325574, 25411520, 186928820, 972607494, 385236299, 542052728, 793891288, 731067874, 808320406, 407087831, 19105987, 15495524, 595083548, 744036445, 246674508, 924340504, 534757679, 576097441, 525974073, 548817096, 708350740, 553508699, 87044237, 279100717, 906030297, 350063466, 614204558, 19246739, 11831662, 154849782, 187043054, 495334305, 95048459, 793512123, 510578650, 350798022, 856099026, 798468381, 455649803, 602533760, 610936216, 303585791, 589834693, 761905071, 903904692, 742279999, 170696339, 279424629, 476060064, 888095491, 192050070, 84142635, 626464706, 279077548, 58065529, 113702357, 656242511, 171440259, 668939809, 899947794, 804575974, 531464659, 866396337, 647867480, 922614254, 193061292, 647090655, 442994985, 812864332, 380915517, 733016226, 683244276, 699047713, 198840581, 725077937, 366031371, 639053940, 817938660, 378455836, 852902849, 60225041, 703806579, 170749223, 696647746, 875129828, 885222977, 683439174, 291447198, 287525287, 959434763, 996872855, 169441342, 614467745, 356962909, 244063030, 557343149, 355857953, 150661551, 948851345, 29698306, 326028964, 708336687, 107652271, 177546313, 684799865, 638406306, 196419888, 911746604, 340874785, 612900208, 855609897, 451903372, 881462907, 206127427, 229998355, 346917126, 694068970, 121633114, 741354165, 152935159, 484166457, 196531653, 619894567, 390712194, 344821207, 772250157, 263491712, 146287106, 865193633, 47371164, 556335327, 605213454, 168079108, 23060429, 704603889, 85177015, 366719725, 818907135, 122378211, 703798682, 328411040, 683158068, 489665260, 172915715, 71684679, 945383699, 920030102, 279977272, 54163555, 457756518, 118075789, 348803324, 601528285, 711650619, 119420506, 191899130, 438716898, 639527244, 645136884, 265075376, 922176578, 891006050, 567473580, 102061155, 840235902, 811145259, 636089505, 386029975, 998869729, 162873773, 348991673, 49637179, 225570860, 890937767, 88084600, 542833900, 458339028, 162587544, 773809302, 899579923, 332929066, 770136031, 418730503, 952830489, 221680398, 653805852, 697760781, 998075532, 571869827, 299590545, 501941095, 230437750, 515858494, 436251217, 431323955, 354149405, 480160156, 341410161, 249105471, 304620439, 147698371, 719292790, 477126636, 422108517, 330676475, 887316971, 490033984, 606919780, 373801273, 345174033, 784228086, 152396876, 648223286, 928411220, 261481730, 996228585, 553865360, 983667404, 943354259, 766121054, 60920616, 570291250, 562832031, 711643057, 646741085, 429179648, 845405466, 868932865, 213685978, 618782673, 46147872, 680347298, 768671587, 474118820, 871570096, 850207349, 890225268, 21975411, 468205185, 532370177, 322398059, 979427189, 368408284, 897357146, 712619859, 264062891, 513628272, 244637469, 338908968, 384576389, 958562677, 707789508, 253830005, 119623732, 580636375, 450138362, 951049246, 864552823, 526905486, 346056815, 227505520, 739579256, 328655604, 694647750, 93035742, 970956280, 599110152, 489614687, 253220215, 483834753, 853541464, 64819895, 491025962, 375846015, 608810189, 541845267, 574836617, 840495010, 57416689, 775700255, 213932135, 495092677, 572863042, 365019412, 887230762, 803744113, 363346409, 338361299, 624100128, 105844903, 140346667, 442584969, 242989970, 888763991, 282869829, 545002258, 625728729, 640623548, 368207580, 384401734, 456201992, 79964077, 178673941, 967345882, 714112795, 368958080, 872096350, 584264646, 233800405, 359281307, 405256054, 803315590, 929565069, 263415255, 947985265, 753204637, 575904934, 270590247, 293818423, 460675624, 153083546, 706102978, 536810763, 921519181, 115542993, 117972319, 430165879, 905026567, 889033577, 627894745, 999162063, 289151607, 575993992, 602044487, 575739554, 374800074, 853742089, 17696438, 856456879, 923021309, 944446022, 915564768, 414802849, 691675604, 283675551, 727557613, 548790640, 648014782, 483713699, 563747119, 73642924, 935760491, 16529363, 925453877, 238426343, 447760382, 613530313, 311695550, 959379696, 530605434, 934929149, 253603769, 427331977, 143714389, 620506994, 122306381, 855613096, 237628629, 893428467, 733217943, 687111275, 475490308, 786949123, 292310842, 470784713, 970667122, 613657461, 550068946, 329927758, 621581424, 964197548, 961755402, 138518147, 720468683, 364322468, 513699901, 953053497, 483097399, 252575178, 715262115, 924198454, 14202756, 323151032, 307740192, 679128964, 417424863, 418254686, 150089771, 731232550, 57915470, 289389066, 849051578, 288758271, 750622140, 906262607, 598845872, 419157074, 910958545, 437307376, 796859359, 910689645, 124121895, 977625773, 161859296, 868931214, 524749267, 191495816, 22828034, 693241399, 846412502, 720800051, 38345478, 22239635, 596445876, 993233257, 575146571, 292935050, 951756400, 207342876, 756816907, 890147733, 962438281, 88635936, 461112149, 288541210, 356713615, 18030775, 300585354, 404921150, 298756368, 643454680, 604509324, 280353550, 343382812, 644824944, 628528571, 796898361, 705625502, 348241584, 522971638, 940272105, 670030665, 622504408, 209633423, 829446576, 733724305, 14894230, 332404192, 764183346, 697936798, 836996598, 193429817, 805321524, 129774688, 152867419, 117270009, 116270730, 117139643, 515643885, 134167237, 899429301, 743846486, 744600807, 347219890, 307537067, 917631171, 85981471, 618737441, 202423707, 710405065, 827939943, 432067578, 539495006, 262131951, 252496944, 345784693, 236447727, 262682314, 353176975, 295532328, 592943438, 840152109, 844629580, 787669253, 760329907, 875736812, 30610988, 715521017, 890962779, 502154232, 651168504, 101205061, 500047281, 462411760, 847338160, 850378956, 552866732, 628781920, 591983596, 61596028, 75629339, 291843338, 899688657, 563158737, 368618987, 465314095, 211096072, 999967088, 957607158, 624558566, 393099126, 923712184, 538722309, 209291051, 833820368, 187648852, 588007414, 93789131, 134491654, 896624597, 278302996, 352212860, 222887368, 407041294, 395364959, 473592941, 919154164, 766873386, 887733147, 891045623, 466627342, 476636199, 555705674, 221525483, 167430190, 205397526, 338453757, 457177682, 984120762, 507269785, 714309866, 826892208, 955298543, 609340947, 208419625, 357825463, 153123096, 24550810, 237104917, 298945784, 300065436, 134875197, 206048146, 977579488, 248048864, 178230290, 325419049, 636194574, 200233705, 884312428, 469853719, 521244654, 43757586, 477800356, 131815190, 9614230, 125623341, 160204613, 723487045, 393429860, 506138861, 748050087, 216505622, 428745880, 439246633, 105122793, 360152691, 739398116, 703421232, 762710670, 4417631, 875725545, 671919113, 646075898, 417051068, 152729620, 827152007, 419992279, 274906062, 368805966, 578243597, 431701844, 540996826, 368503054, 100223834, 6925639, 743141532, 996743454, 695902999, 799972435, 646077527, 367027618, 684275681, 28111611, 707790299, 685875956, 188913153, 549609958, 490388077, 945957236, 447950510, 291655772, 198834480, 240207540, 56375478, 135863869, 943149081, 539646972, 686309760, 836040569, 355733037, 399272693, 665414869, 274836968, 430053169, 153002161, 310363854, 300394656, 316177227, 959585470, 329656715, 937787755, 501519571, 69604089, 770752234, 604575731, 203220648, 605030278, 17100666, 103316888, 116278407, 848868553, 466895933, 452479604, 658014087, 518548113, 785697004, 623718719, 911844408, 119916554, 289109913, 387393605, 366826161, 612856139, 387454134, 824823204, 148377151, 24454695, 796794540, 406969543, 478181644, 877997627, 537965862, 450502005, 530769405, 680094712, 626391642, 190621038, 572693169, 550322291, 752392934, 115769903, 474236550, 604659760, 596891387, 915964502, 168088390, 896487687, 345711288, 400778763, 201531907, 416556819, 704691152, 715057004, 350379569, 70462847, 360366358, 187692237, 236998184, 224780120, 515382569, 82313641, 100610642, 396804862, 687587314, 674809803, 240515064, 74628245, 88090338, 505331229, 772477834, 834663801, 612434551, 451217973, 288657377, 218544844, 338188426, 304417961, 14231615, 712809294, 116516621, 285351867, 403395180, 944326705, 480253888, 886586784, 982679369, 535862762, 40617365, 104969351, 659375448, 278843628, 412242163, 974950668, 980115132, 292049327, 713052852, 598654269, 37795526, 243754245, 454807965, 865082013, 53568663, 69480470, 776517001, 484528574, 760849623, 709451648, 720441103, 645073903, 998112091, 283866198, 276871890, 30472217, 177787664, 470895394, 273713889, 274537717, 822413671, 595361545, 875765540, 273220472, 302089729, 719203317, 882176885, 896698022, 389471897, 879478738, 454212763, 498852814, 512452185, 975874049, 605125368, 613225374, 88811777, 682164229, 830174441, 95002362, 172035520, 315347889, 742060259, 901871503, 756086464, 706816978, 470646800, 681319058, 771198083, 707991185, 411575008, 522778711, 327198309, 364574818, 191718788, 314794667, 199694872, 523278837, 546412798, 395561336, 709139341, 452919949, 658822136, 437771336, 531041388, 42059354, 8966291, 395966803, 479978634, 833893460, 686105890, 224391836, 245260614, 707588954, 835406969, 471787119, 882050607, 417622769, 676472317, 115764444, 836397728, 53542297, 209530097, 717525985, 431066043, 178074630, 232456629, 386025608, 504415119, 141338774, 11308283, 466394067, 476076898, 268996803, 675230337, 528518865, 882346773, 347150411, 620038422, 615700966, 723825835, 457876233, 240737583, 132520789, 758848344, 77480890, 730223721, 818431876, 934199694, 568462489, 383630762, 267382721, 440104400, 509058973, 213298495, 830591832, 8673465, 888904400, 443925390, 870436582, 257096409, 253168124, 766300920, 423864735, 504415878, 800982396, 812945447, 742935086, 45178428, 77734096, 97738023, 364205718, 407314964, 847551504, 8980554, 628278645, 330588329, 986449728, 801358523, 624719726, 411037102, 140038296, 895068811, 804559670, 146313160, 303095213, 460826122, 576921814, 311197466, 207374544, 248569001, 52157434, 927953772, 550175162, 675567409, 37348313, 731537513, 979344443, 960294174, 663062959, 233653184, 693110223, 786970374, 532676734, 432022803, 641741557, 78151892, 564600076, 55153456, 257591747, 551371472, 120313963, 293354834, 920725037, 150941070, 864036605, 573980884, 619103892, 856749562, 85259387, 530877923, 241261792, 785121900, 898138969, 322424163, 759848624, 593778985, 618276939, 798935905, 520431106, 531081413, 559271011, 860646386, 165011865, 18040411, 527898715, 401028363, 705033639, 14357341, 99621530, 314388062, 81154556, 14199232, 563950509, 915675389, 173279429, 164393154, 571044218, 190204400, 425623852, 39549865, 732465608, 947073689, 893338641, 730553450, 596832284, 445017087, 992392956, 231226530, 442944278, 91993129, 352906011, 326648056, 544059966, 80275355, 796725303, 642459031, 922661968, 687487945, 548496859, 414286702, 120422141, 907592129, 151890326, 527715000, 485023908, 312782587, 121882739, 48259811, 142917657, 125258417, 387547439, 830654674, 7906821, 68129701, 653786243, 920396749, 992131615, 504293479, 533122480, 414552247, 852183165, 597882506, 19017762, 869644325, 914867533, 895179236, 819862134, 759918382, 915056947, 764824188, 939575621, 9021934, 486261658, 34127357, 158351237, 692256744, 681337104, 315574000, 78430500, 649459949, 541498056, 444345595, 850318596, 512078329, 392579089, 782868596, 865985679, 775931581, 626825322, 827585091, 412854542, 568566405, 3760406, 978977859, 762282953, 964455121, 396621288, 801266022, 944712296, 357705644, 551074925, 588911935, 926663973, 933895611, 829075990, 673324443, 170930382, 866778608, 977554413, 979923613, 166023299, 221516978, 49053165, 82877238, 225548548, 33666987, 987429038, 740265531, 458903688, 675422526, 425067214, 727816943, 648307173, 148258107, 48400, 95223184, 105871026, 870775999, 478699666, 803407822, 26022537, 443670024, 127275273, 531827413, 169704872, 749400111, 110199891, 266498310, 445269394, 163316132, 590995942, 976168330, 665783772, 611597545, 808822897, 317716251, 469318947, 835554344, 513012861, 540231700, 18317706, 102724476, 764592422, 407910930, 757683153, 146452200, 333801784, 835565509, 660435288, 921298627, 455512014, 212870121, 632144396, 366796654, 678109705, 169496727, 947561338, 366176995, 562441215, 327949150, 326507344, 327955717, 389079708, 495530490, 698082131, 994671478, 580633221, 486066916, 650254138, 895903517, 763998096, 919122789, 427240691, 356559227, 432804726, 908458900, 313584380, 534315348, 319059156, 559202609, 390533968, 634070809, 308586957, 656609052, 551997733, 991473410, 440786043, 598987432, 262856529, 504159824, 817726381, 277132136, 166587124, 397475745, 437477406, 739469250, 406689907, 442635406, 757542888, 939534755, 450973882, 894137527, 278747042, 621515163, 683958993, 820913491, 244282983, 756765444, 850854402, 10152935, 674217446, 498047606, 473920692, 473419681, 922730254, 527029587, 639807468, 644993823, 609811911, 566064561, 57047204, 201838967, 20146402, 910299168, 290537006, 467908135, 988162920, 343247051, 864198045, 532086584, 959250751, 953248675, 461774256, 804313758, 611213934, 814460400, 481252712, 837786346, 729785151, 43962093, 807677606, 430946372, 251009254, 790632542, 951838745, 292877528, 422631983, 807595668, 700997182, 127479338, 533590459, 24922288, 527041774, 10611498, 838448041, 72090628, 332663451, 661253717, 547709072, 777824794, 308068607, 417540022, 955802071, 585092165, 507286437, 895235525, 225856351, 330403750, 629901368, 647371895, 671931348, 740872536, 777212935, 968691031, 814013576, 992264008, 737775010, 846882027, 614915285, 270035675, 878447019, 6143829, 123506274, 389857252, 537839807, 691191997, 155045607, 598508067, 587847661, 147517094, 414495345, 220569067, 806820188, 835278251, 762571284, 545958867, 895070529, 942357838, 735640985, 481480980, 816070281, 13119778, 817160526, 92320522, 804124111, 455020820, 224306786, 859276749, 259623313, 446685209, 891733262, 411791924, 999165936, 335930808, 425484389, 206406021, 294046158, 49798698, 550877047, 237161166, 941009332, 458676934, 786951242, 639240677, 629364901, 414565089, 486539256, 364632231, 668062795, 722730455, 391373243, 352881751, 121798368, 995061107, 591032185, 150615892, 442584044, 745641376, 662987025, 227016895, 359839681, 697830852, 620886765, 766129041, 736726878, 284996443, 890025582, 177695790, 745023471, 251472510, 182922970, 508974360, 279141860, 923709787, 456277138, 638049116, 116521120, 382262159, 669255320, 830796365, 824479453, 794693634, 681948553, 894373502, 328747678, 864485513, 838625639, 98959710, 698385626, 719121740, 563268221, 126075350, 256878478, 267930928, 643837003, 396531760, 288420261, 575623270, 954867513, 76288095, 300820423, 137293858, 504123554, 225955642, 687427144, 833368834, 347759034, 41113314, 640143859, 81854420, 610780925, 478379480, 129367061, 360294445, 571359139, 427089785, 587252686, 637044626, 744555971, 724875231, 861307602, 936703235, 567941550, 705457068, 301139008, 846545798, 218353739, 806631147, 90042853, 965649597, 762712263, 488958661, 889905523, 622154837, 13170042, 923906316, 440139429, 334704619, 94565509, 503337427, 940514073, 74647368, 565769922, 348625004, 797237524, 202871051, 10687597, 680781042, 367319681, 649045910, 757948988, 388824208, 515936490, 442408645, 298597613, 911540058, 199910139, 5970166, 973675571, 733591705, 154666287, 536389760, 455738994, 934454788, 714077695, 650008814, 114989652, 542402951, 812961660, 443572409, 297485486, 692134086, 282277901, 643831506, 684280302, 910718671, 6046757, 911202254, 999958596, 599351672, 16895306, 695246968, 335467544, 312861148, 914152376, 740602364, 418903541, 783782627, 263968089, 861673978, 87536547, 908828136, 627635372, 938905415, 353971814, 128659112, 533074038, 684485059, 950684951, 246840247, 889537067, 116399463, 104663759, 592237175, 144550341, 502678268, 128968695, 999236791, 548150972, 267088905, 505882298, 543917403, 640665773, 714468921, 924116603, 454716059, 890843806, 45994820, 316981011, 635481476, 775362750, 930803004, 150552571, 846304960, 153611133, 326999337, 296852548, 37237401, 732931956, 480244143, 566518230, 859380869, 816985397, 47042691, 983932457, 212844320, 806847046, 975408547, 636672977, 924373197, 935508099, 79806626, 760988245, 423696738, 149942084, 791787743, 209963025, 552633484, 292901172, 821758315, 224076172, 535221954, 223853398, 999582611, 945129968, 49812709, 177590203, 758987378, 960848979, 833116934, 51027106, 424579263, 699734263, 102644325, 962878294, 453243740, 606885333, 754856338, 866934442, 404667100, 489763824, 547323945, 162982510, 152931732, 276574423, 182050969, 374287071, 262628343, 979523447, 589354171, 123294786, 414697229, 592712394, 478226358, 146943273, 704291884, 981139613, 596805868, 685777285, 174235915, 744126673, 382667107, 412392724, 249716142, 650814920, 212669066, 878650706, 320983569, 345098538, 812796189, 425592653, 570747770, 155074130, 379089732, 354442062, 626909837, 16901904, 253294429, 542515372, 414194026, 693046379, 264754498, 273001819, 383541456, 648370199, 207662666, 364995095, 656572820, 484008022, 631128552, 941464516, 377767295, 927844834, 395125563, 622926796, 180442649, 325800157, 708731403, 412764162, 996964429, 784760998, 608087087, 87808976, 878283239, 178419143, 704813323, 148297349, 621229496, 779090208, 827050870, 404238830, 183015273, 138453150, 834588759, 557135585, 585089811, 644437177, 993243931, 449611380, 384192443, 683602224, 452042881, 156675609, 427401731, 6380658, 916341775, 410312734, 187457312, 532844424, 242971034, 780598650, 573209722, 648251402, 133918559, 206798296, 263308005, 763114301, 52584, 600252984, 850995828, 374245446, 814423717, 412821632, 129275757, 558065168, 679041488, 985564503, 675565808, 188992036, 683949114, 184580956, 683010189, 711885849, 593297161, 24127831, 279947354, 811963258, 663041177, 631985183, 464578151, 118280454, 148809173, 234803329, 921105604, 552622660, 237321859, 264673620, 568813722, 552564886, 939780465, 849121531, 449834980, 456548297, 409219868, 263603677, 102620956, 231263633, 384729003, 222614374, 68469514, 598864564, 988996689, 13946001, 337731884, 535888197, 501071619, 996626537, 922211125, 217100405, 660828775, 70235628, 826954083, 709453408, 212490331, 533692059, 97407291, 702626770, 351010468, 858840274, 875061410, 788058667, 407703510, 652351048, 211344532, 500786749, 159317529, 583119935, 391936626, 680468775, 553713350, 429802987, 564423502, 933088134, 336646493, 938636606, 217829921, 900406752, 593831058, 767391294, 271748548, 822950156, 227219979, 64605813, 947573570, 183296840, 940509960, 948107718, 768271879, 250146981, 129716266, 904412852, 588395391, 815149788, 528099452, 150016703, 813220612, 914577629, 290976184, 753181743, 21281645, 674174799, 503403287, 780695392, 718582122, 264188816, 716167129, 30517959, 73982598, 826335924, 357765273, 963867596, 649803322, 462992156, 582745762, 455351967, 689342044, 370709269, 816593034, 640429942, 668771264, 778997875, 333393671, 411482311, 608579424, 446681207, 410371876, 768093514, 330294780, 495084100, 910279208, 997137327, 238906383, 578555612, 1029079, 538152030, 750437212, 913195992, 657978350, 412211985, 677632167, 345362827, 756289171, 488583858, 177004470, 348821051, 454241609, 791951005, 348887259, 543130138, 664574726, 135383846, 5584222, 194432454, 601083661, 756182290, 897314650, 360886136, 815749240, 81709728, 603740120, 340579047, 885781871, 873799520, 578298498, 729096664, 765460390, 967671850, 898604103, 939878592, 861921995, 73786669, 962592447, 706753593, 220393321, 710539908, 454445001, 622348557, 84237956, 434991323, 491554004, 717626383, 782342803, 14719726, 689183368, 233372998, 323913118, 582498076, 179009198, 263297456, 657722521, 260440516, 72244391, 183737589, 441287707, 101258909, 495706214, 900115512, 477765295, 688619540, 602259372, 700836527, 147971017, 437744088, 961399039, 298626588, 386716142, 352064192, 971860471, 430097276, 159314583, 413364675, 615227276, 589224107, 611514724, 1749386, 864251574, 2622094, 792715873, 992555172, 276562566, 562349686, 835424155, 117069395, 427040066, 417183303, 81231531, 773745198, 894680142, 99980293, 108622086, 789780093, 575881254, 476559007, 521012790, 187597816, 75576626, 937188733, 3263277, 677100482, 617387746, 565779997, 992741604, 34580155, 272962036, 737444924, 286654409, 292251364, 164487979, 178868613, 839174363, 250469679, 963790825, 122470609, 443480610, 247798534, 621797607, 238590922, 330662362, 614736096, 621029827, 16597716, 148397080, 222638023, 489994244, 245587915, 360145784, 230520939, 947464863, 920922846, 191227198, 818313940, 783395239, 657676398, 409494398, 903216709, 12431143, 334123739, 141556947, 428631934, 657629690, 409104360, 789077997, 984825556, 657492905, 972487456, 957655175, 995187421, 626869515, 21651676, 333341035, 775273287, 243967810, 688040499, 51897725, 130064304, 510081095, 492695411, 375239975, 890146884, 542568786, 163479187, 770113442, 920708329, 497159816, 490019422, 295222630, 850070042, 537599594, 626973130, 210422729, 651999357, 608546472, 380378171, 386778681, 975481131, 799353288, 109069647, 242370997, 50802631, 149462687, 526685557, 567106193, 19126507, 186975213, 210294469, 312520538, 423548066, 400598869, 738834499, 836256750, 950713632, 453939156, 748152535, 416868278, 210376251, 870178445, 539751958, 666238609, 452324448, 167891190, 421320542, 139172522, 838600774, 971494377, 237626210, 529866300, 867461824, 538970439, 690276716, 91202303, 863134329, 420572234, 565585163, 520494980, 15552642, 349663655, 66779176, 814713617, 593286239, 61908672, 757838985, 476496362, 253703257, 851797305, 360471958, 177494138, 162474121, 816525649, 681443077, 838702697, 547058950, 449890373, 684005683, 128563422, 40669734, 560570704, 498292407, 212399549, 906021364, 884940784, 492443529, 964991069, 91738021, 420237397, 330690904, 548180932, 507152081, 161143526, 874984092, 425563178, 438659084, 917142825, 630820212, 347875881, 888530107, 27302338, 653427566, 17010420, 103206963, 923673915, 806873087, 472492983, 936278116, 175989199, 612770188, 305013586, 764165513, 579323647, 597188681, 421196188, 10351270, 174811512, 661410711, 444223204, 892308936, 714638616, 214045485, 244803794, 63347878, 232484557, 625625351, 516074314, 161495284, 284403797, 721862710, 236070795, 45045473, 819762680, 933263924, 467149005, 521232829, 235860463, 302266719, 890156281, 977064322, 785565922, 2699785, 854444781, 154559333, 619567108, 509171112, 479428286, 82511479, 547067716, 850018361, 885272771, 610574071, 394571382, 54774362, 758523993, 9685369, 236288847, 676011886, 442796185, 763584235, 860378606, 730483800, 77810020, 648680343, 262213181, 184233203, 818188209, 580853128, 249401709, 573749398, 203529869, 95703428, 412437341, 830475419, 861733328, 324544574, 713705898, 895200743, 815971892, 304170217, 925518890, 999432485, 430773541, 912087903, 899178438, 701133194, 656559694, 764502132, 777104687, 449749601, 938139078, 52704369, 168631253, 546957116, 676778833, 425047115, 231118081, 299668358, 531622240, 800569465, 543138473, 351093289, 318092949, 85633899, 48927015, 9386, 808345347, 6506291, 275644013, 72595825, 856459083, 347368048, 72601957, 521324052, 804555550, 783601344, 351304823, 843621859, 439528836, 923776967, 672533642, 409345738, 188675582, 66626254, 233776742, 60426751, 83845930, 184759396, 87353864, 710282049, 795657628, 170310358, 995919337, 535480956, 380223183, 966464940, 975350672, 436909863, 318785911, 185287582, 567160256, 311347019, 877575241, 727359010, 154008765, 716017157, 619763331, 225356571, 955671123, 964523037, 892361196, 630607928, 205992123, 975942397, 587866958, 295628805, 993885084, 705196272, 151797521, 293762346, 546538681, 854768371, 177162023, 400776645, 67110226, 74162669, 792575153, 422010531, 180858590, 527488238, 478127225, 319341355, 741773621, 278361549, 759553550, 981574239, 93059066, 665667665, 29674932, 617666309, 456368401, 412505023, 146191635, 37248584, 129551176, 119098605, 116537905, 423985019, 960967156, 173118705, 166708789, 152346463, 366155269, 954010383, 250865473, 159761164, 641634808, 345542217, 750168517, 762481303, 393810957, 514589969, 236837506, 950294301, 113804528, 905884523, 614693722, 702750785, 159214789, 4183336, 271446975, 184221641, 220521111, 699949129, 434119007, 98951430, 511080258, 949616155, 501618580, 454205, 818212007, 200136492, 262067591, 654047254, 735759937, 933481115, 481798487, 192665089, 655984129, 716281152, 912588041, 348430245, 644574839, 17152011, 583887522, 486972618, 929845275, 485562404, 500601904, 550049053, 220027565, 928175067, 146570897, 641005747, 111351196, 427097719, 465573341, 990278147, 562203109, 960481325, 284301345, 92919018, 870907868, 417026272, 404726953, 138369165, 412553422, 615792589, 6590279, 597298465, 514553976, 442278474, 943765408, 399623748, 659683189, 577448622, 560015110, 974203732, 594130544, 626993077, 378384483, 202403614, 999415583, 191842503, 110284832, 924046838, 740088176, 317075291, 458592686, 413030060, 197516929, 912950899, 3381547, 911192444, 974082196, 556516170, 656207756, 726166636, 82477490, 808541369, 307664337, 27286737, 212321281, 802215508, 911372117, 294524810, 625037215, 169420358, 490918314, 391123197, 401855021, 570192539, 540467354, 241826140, 215001976, 384632450, 629660897, 497546998, 367769637, 226945926, 915460275, 12895030, 711444924, 12603750, 304150925, 784508077, 598105361, 689888138, 781782316, 645582531, 231762739, 485456153, 301006249, 631395212, 88328698, 626855473, 78474935, 953038004, 220791330, 147455827, 729800214, 608048181, 264439328, 19382750, 193575665, 879133499, 588840388, 334491760, 950062741, 931437957, 929289885, 540994044, 576394560, 762770056, 200781985, 453885333, 761631019, 66557506, 216393037, 338673320, 725062223, 81955080, 771059941, 403548130, 775536104, 634185613, 589541121, 746431719, 10317430, 314324711, 869847053, 847176438, 551687470, 640269676, 565272761, 587268088, 42271445, 913308827, 475405227, 322685705, 319753566, 320150279, 769575142, 581704457, 164623981, 114095409, 962283107, 509682157, 971286224, 547676267, 71718632, 532906223, 803686342, 188267015, 955842795, 249023321, 499621278, 547658021, 877820003, 846193429, 890772310, 389226292, 146468334, 414646320, 789405999, 577951761, 761692941, 791579429, 805800297, 132303701, 849588356, 997210945, 138616662, 141764092, 192012809, 247641122, 337854262, 544020860, 417801760, 605498212, 172601219, 856352900, 320086795, 482161752, 473554377, 471052385, 870342513, 890973546, 458163780, 476111798, 217658584, 937700543, 724493485, 259769261, 345019985, 707191349, 521839000, 332284353, 113607790, 248581010, 956223673, 853803867, 661492625, 415499961, 351450992, 72810808, 492750971, 343654037, 386701600, 163090083, 933892156, 358525100, 117815177, 973284243, 397679224, 188936796, 26315336, 134392689, 686773810, 10007163, 184573631, 577501941, 577182257, 635685863, 743295786, 223581928, 387280373, 474422497, 134673494, 548971680, 816552680, 770947336, 762954504, 489581292, 846966708, 822915629, 504626010, 313555772, 386409606, 924459614, 8711410, 903029174, 593514513, 159801793, 568214572, 302246488, 399153636, 576301473, 342546836, 762657423, 738043402, 146986851, 167669530, 607048554, 727410353, 978873334, 518241451, 500690524, 960965324, 749357832, 8657608, 500827035, 686038037, 340253114, 730715442, 688366357, 514173576, 311830586, 460972543, 612870767, 641953057, 8426768, 36199896, 943228534, 113532233, 629284069, 61482207, 305247873, 705461987, 933705807, 5150676, 398822914, 290372884, 129418006, 197045422, 143751681, 885606956, 748864761, 766416878, 637763950, 127476586, 519356979, 253083242, 521076517, 732325762, 969790226, 429473671, 571932583, 772715114, 199694748, 366911495, 705389596, 188722396, 535263218, 280926958, 535456401, 395159182, 252865916, 849248807, 208473480, 259911586, 918017196, 284363373, 106097923, 566965441, 576577972, 555176605, 835795698, 239186410, 692641488, 597740841, 848980741, 613136138, 716851116, 545133222, 382691653, 42705004, 508274380, 563020701, 340256894, 985647396, 386458544, 448302055, 590128900, 252310619, 935164636, 488651132, 357883355, 142808530, 280359688, 630063882, 325238637, 312048682, 897941133, 592049755, 959044588, 422991282, 80397567, 418221439, 864178651, 862507275, 324402983, 370514269, 171695377, 883603801, 993478750, 892329317, 658010808, 948066574, 624917813, 623271738, 839679608, 218001687, 870279148, 137121359, 761155176, 33643354, 908286393, 947566974, 725398669, 607675997, 478376810, 931109087, 893451557, 621602227, 649455366, 969016750, 813268638, 15620283, 463771504, 460062575, 868486248, 69460260, 915932223, 150875904, 926827013, 700896282, 84576471, 283100109, 793285847, 248613801, 964337021, 149804717, 174858436, 922506921, 866093282, 929899688, 993017102, 594371844, 355188813, 499182596, 394865342, 381142891, 37342369, 57440099, 27852524, 800638700, 859732169, 323328312, 297879488, 83271607, 300536209, 657086494, 832678735, 781515266, 197979233, 839955921, 668699627, 297551522, 252319375, 589233114, 897839839, 377339424, 701599422, 975302032, 359662343, 885136235, 334176095, 316209996, 340466966, 213824721, 107123455, 449458420, 411220237, 507867035, 986145723, 242727588, 339833855, 251916932, 991398011, 367197349, 397710634, 350853135, 558653765, 706495407, 905544704, 554287438, 225927814, 337792630, 21557249, 876963578, 557266983, 598622765, 513144480, 582066903, 595406895, 555408282, 704251407, 551445675, 815135034, 804254835, 475054968, 947505929, 581011258, 446587580, 888424093, 622241243, 170902235, 776986169, 583416425, 290628978, 394817621, 682303907, 204082623, 226658283, 400619232, 133964511, 155404524, 885872580, 649072924, 438148928, 106496308, 800716092, 615673839, 247799052, 87419517, 96406492, 632327768, 735356546, 888174479, 801745470, 908992553, 902686302, 569087256, 523865593, 734459208, 586007695, 986163693, 730280350, 444014979, 833852555, 530325312, 249082171, 529816604, 354191443, 426749226, 548885293, 987041121, 42460755, 997368616, 787130725, 739157963, 246428028, 294018789, 460021994, 979475731, 999439113, 912799385, 731475172, 148413701, 716343147, 393203298, 918113337, 300670368, 337375907, 355951288, 80797459, 364506279, 524771590, 322896716, 81623858, 582469632, 429962570, 465401608, 429523426, 338898069, 228816992, 764910263, 470744493, 275444885, 808163604, 175182102, 280904963, 417318779, 962944015, 903813670, 925780802, 848395568, 469448459, 927941783, 391592418, 288197896, 777214732, 225431925, 636633997, 529099999, 557277774, 509426363, 572834112, 581457277, 956997180, 41299115, 647967972, 695387926, 288884303, 426967824, 851497140, 912734607, 831388435, 329545197, 239029960, 827965556, 247423221, 918519026, 166606417, 187770408, 563074624, 928172608, 883578815, 924733899, 881323138, 3229861, 958815508, 840104184, 156221349, 97354273, 388289570, 306285712, 247740926, 622956133, 671017117, 58527743, 636033194, 722298518, 334576284, 145875078, 466397008, 563411732, 620282185, 356184565, 482700155, 933987561, 991879254, 509466632, 121321018, 768784756, 958514006, 271921724, 703850529, 13011801, 644328450, 279076711, 325568836, 538383116, 656915080, 196990032, 657867505, 51183392, 581529272, 668468129, 959187622, 39720125, 207377348, 357212793, 75746425, 732421617, 722385227, 148914281, 797948173, 289998138, 331585547, 230117676, 417650578, 219333676, 404720802, 258300267, 937639501, 705031390, 372436715, 509469557, 219896258, 625016998, 332621350, 346013590, 441128769, 818081599, 731097083, 754340198, 439093930, 58753445, 187692720, 493805860, 362049599, 589015914, 769982165, 185507227, 771735978, 140678370, 593851678, 449693266, 516090507, 27140571, 839645578, 342150861, 259361806, 323598245, 175787642, 24232975, 491435599, 274638754, 620487103, 59529520, 146501509, 119825704, 608983596, 658983579, 203850815, 425503271, 483716517, 204694046, 915511790, 572720117, 250379940, 148711341, 1372358, 889874164, 587127722, 428653894, 934402351, 686988933, 274621598, 325092206, 577223425, 805666669, 573200046, 893035667, 382672352, 349539797, 27085997, 117231921, 755383126, 166500593, 471601692, 675315352, 46464007, 89231492, 11573562, 896539293, 226475324, 263930525, 283211442, 465373503, 262185281, 248795052, 416511284, 748804216, 290537719, 554893865, 619975645, 309526347, 560668904, 58323349, 681268819, 209452359, 898473036, 865332760, 623338180, 21616943, 457993979, 594725406, 27922920, 264277514, 370093882, 79938127, 361156308, 906155121, 333225799, 4221997, 539554232, 150886081, 180920924, 554379432, 179097337, 556914044, 707205176, 101193584, 509426953, 384504620, 680228264, 938175281, 300555337, 735002633, 942318179, 773404290, 772153431, 233729323, 903893, 481263995, 314949467, 300438565, 506848498, 653419194, 955734197, 690799762, 617937947, 758477355, 248617754, 767305073, 756694765, 170898429, 289062188, 549584902, 691627679, 996054102, 171037463, 937784064, 624768337, 500635287, 775538659, 908423889, 507493292, 870075232, 249881153, 623391594, 762107006, 700684426, 44836538, 969608968, 620251239, 670534097, 701402059, 7446170, 6355609, 299827955, 414077752, 529092127, 715011607, 685668266, 30691379, 84981811, 456470279, 938959914, 832579667, 710149014, 695120985, 237535455, 97243940, 728868186, 990579948, 214705724, 674262589, 111706221, 566479310, 143416720, 815914759, 902882295, 100696224, 506888675, 559307932, 936043683, 269933655, 804601230, 31494426, 398537744, 286644421, 937704969, 173919202, 717402796, 133195587, 565684884, 553335052, 911690226, 405015827, 225749207, 826155734, 11034605, 397718024, 635946701, 450634783, 642328528, 442535458, 43894157, 613249290, 274014224, 595270424, 745585415, 242390683, 184719463, 835371057, 495763451, 72426064, 481709566, 666550074, 828813655, 133129806, 784545106, 571077920, 537785761, 962556963, 142436922, 284952774, 609741923, 742494673, 970358205, 552459562, 352561593, 46786297, 352723810, 648910768, 428459772, 163816700, 729157065, 988788663, 755932693, 907673682, 719923538, 883351668, 458997903, 534816162, 476492195, 882813452, 266985881, 566210348, 957902194, 271281226, 925447962, 516305502, 198371266, 696822824, 481643345, 666998721, 582817150, 74055689, 861604060, 240081894, 920287233, 81026130, 352872767, 923788265, 439613677, 239495893, 504642288, 199105662, 746579608, 52382105, 457654374, 238857314, 530986034, 578654764, 784489546, 453494681, 677038747, 742178080, 692138269, 67015647, 764583405, 386086478, 218146882, 270429837, 857575049, 895514755, 252665507, 531192778, 14154590, 853722785, 406452596, 443597350, 78026875, 18470934, 65908013, 929471774, 375551947, 75741706, 974266166, 457023717, 56079480, 530607312, 924002864, 136039180, 174381951, 53140245, 369504019, 408222308, 938051527, 872687747, 662325306, 888047338, 292865844, 60544170, 320014590, 493786046, 533109332, 369517190, 381498714, 96933710, 272441340, 644725907, 845161365, 135249944, 2191989, 257991813, 417008643, 425021177, 181706881, 85482846, 28705329, 727543086, 480196119, 413055196, 783912062, 29111850, 361260801, 75161862, 753857446, 408116675, 74986058, 95036027, 317169629, 668486442, 503955482, 5279347, 221784877, 28078184, 837063538, 191849259, 153213623, 584974029, 463178723, 527900564, 201307356, 250182478, 953423773, 89593762, 670443203, 739895968, 989290991, 141178588, 341335688, 7544513, 835779901, 229793964, 325794278, 791242519, 350275551, 817671843, 91670840, 251046176, 161768782, 695880370, 564530976, 642608495, 218312895, 719424956, 754053714, 81693232, 279710936, 431237832, 108070367, 331682049, 176569018, 828329106, 246186735, 181904931, 970499812, 268379951, 676558664, 537419713, 629208690, 131684407, 725680511, 838141865, 305643816, 88711396, 853722620, 849607654, 792845554, 92000564, 876429515, 825960780, 536444185, 255204030, 739952405, 485805306, 790926571, 400106410, 933211998, 291118999, 954763575, 472948130, 654090399, 908442145, 218624589, 869010267, 443869949, 648488543, 446553508, 519199407, 132744069, 210897795, 403627685, 556842444, 354211983, 846949772, 246453247, 995313883, 501910847, 407730086, 59876778, 153103549, 568707033, 309487491, 133692383, 68445747, 564127677, 229444851, 612939141, 105563056, 465352073, 664685516, 327016694, 535538899, 883131370, 247246387, 148825558, 766858351, 627593632, 180044227, 983741685, 538885812, 135476250, 614012399, 750199833, 972349882, 2855582, 403730735, 361454824, 580875726, 204364679, 253144924, 961094877, 603196799, 96497418, 569447050, 781182508, 200513413, 782876306, 705976479, 42861570, 797668746, 714689887, 825665712, 608506997, 733141129, 459889774, 498316981, 367562952, 758919828, 590312770, 90596658, 203869037, 703287365, 884175355, 582498741, 317268171, 111497473, 945056846, 73430444, 950358748, 612297414, 508098754, 889615770, 818469973, 22813555, 402666122, 227585890, 401847004, 556012445, 309055905, 8185055, 702769430, 240841533, 433866517, 357722566, 919833706, 566279772, 270040696, 746553767, 271471663, 510841330, 472814625, 175490060, 380555459, 61952033, 106375245, 531812494, 87785137, 195845768, 94010417, 182823711, 257823918, 150760858, 155211498, 303095827, 718846492, 671927542, 158467410, 114344208, 329149557, 384444114, 214657241, 987756410, 852852386, 523394541, 271678419, 587725996, 726185820, 832413682, 651436076, 211305157, 485974890, 362723098, 548876520, 120009679, 463804511, 129901646, 681195189, 247637320, 535564879, 237108890, 958579428, 906387096, 708397421, 88568825, 183243547, 129531850, 299699670, 104279768, 804604769, 531517535, 711288021, 527194824, 463913521, 157972838, 345950016, 758085846, 290731718, 829824514, 439277102, 665561866, 369671390, 868159376, 213414747, 208539030, 305408214, 198061691, 156104144, 784298168, 23381502, 589593334, 384437321, 687803019, 807531532, 593608385, 872356367, 75480640, 98420683, 802834282, 777799173, 824369555, 46892096, 180280853, 668459779, 712435708, 705659613, 286799034, 22445518, 877859309, 432319269, 503759211, 161251195, 718227284, 345699729, 977574586, 379105912, 304322361, 815543524, 711478035, 756959959, 268616941, 272714092, 538238242, 567876646, 673860600, 783065042, 329065250, 604936167, 322308350, 119208442, 591293564, 160698169, 229594080, 955515054, 711030305, 715575597, 658965845, 159907997, 359957510, 432611886, 696438040, 822171098, 325170550, 751882249, 314275667, 347497811, 754350820, 887827678, 572818261, 832743490, 110725246, 482118375, 33622281, 445596389, 337651337, 928797691, 91639312, 92364892, 774093082, 557542226, 845455920, 980223516, 268988407, 835026441, 65801842, 407742640, 77739318, 700830462, 81955126, 423689688, 324353048, 492752740, 97865270, 288492880, 190432270, 798144340, 213774556, 965567760, 285770192, 503333878, 597560358, 988998059, 743757431, 527463462, 347546114, 107564202, 819297178, 564142693, 887361400, 96405857, 426970599, 734468312, 288289985, 619823110, 155507484, 209692253, 390457477, 214301941, 1837416, 95205946, 429260591, 432695267, 174862726, 772303928, 481626398, 783134511, 677900711, 957065857, 37057583, 948871917, 641739934, 911511760, 352618639, 144144884, 642550638, 797834095, 463006664, 464388113, 728985125, 106574706, 844551739, 532767458, 707715667, 851689093, 110184963, 611739256, 513682935, 856429092, 326777561, 744972921, 877791939, 132978690, 135803803, 926136772, 968590174, 567882723, 694782523, 861682127, 152256335, 790725824, 596916483, 367571719, 627420629, 136173879, 198044353, 511070611, 442455017, 834116714, 701693337, 992900302, 771747360, 617784839, 522960141, 346429435, 169500046, 6071737, 316867778, 277787152, 188993407, 990685361, 312029437, 96117817, 687289715, 720968293, 900389433, 927588466, 639758844, 162513219, 710391516, 774529200, 562823075, 765712224, 266138608, 193301190, 214860502, 569621103, 488870689, 399252209, 673757438, 375409390, 445687655, 733416580, 531558204, 948227586, 946302828, 636845835, 162843359, 535088652, 704196763, 433614275, 976185238, 638199673, 18575114, 760098967, 714132944, 73926617, 969084096, 205996466, 925332702, 269773141, 662659411, 827610981, 351513379, 169478736, 340121492, 692665906, 709329717, 647919030, 490994344, 949825790, 520026019, 384548813, 696151191, 765437277, 148263379, 873730131, 940605067, 533176151, 846086907, 527762075, 715335656, 301820554, 230461124, 841050218, 630261373, 744228791, 143619525, 223674426, 240328857, 946432016, 374537753, 755909513, 472304041, 228392771, 951318893, 777143591, 597909051, 612832640, 978572924, 372443016, 712332806, 463371403, 983093144, 267849842, 530278126, 875006043, 375265125, 696106962, 338964489, 916735522, 265029251, 818473463, 448638713, 757806898, 574340535, 179918040, 431791600, 920277555, 385162752, 471660133, 87158064, 993161900, 99534653, 531834173, 937548633, 243645459, 271691341, 533753312, 443292544, 562033813, 798339860, 174427780, 691762520, 746633641, 594698411, 747607868, 289948115, 873140690, 408948715, 457545238, 790088344, 609910000, 92359424, 502459453, 993681303, 170578854, 933143308, 847159630, 902660503, 202816025, 961378094, 586870797, 6597422, 715009393, 544352161, 442388790, 442351555, 413270310, 364829953, 709908780, 948316405, 355401700, 832550571, 741420053, 415584444, 427590056, 579496827, 101833951, 649060577, 132455349, 150302460, 793979921, 268856371, 64571225, 594205180, 742588338, 613143851, 925893458, 573604747, 314432722, 784578329, 120615346, 945634791, 816299875, 720827422, 257689098, 497213787, 618589955, 830126427, 287617909, 435479642, 308682117, 393551572, 158192768, 24162952, 453280450, 798940506, 721966326, 706730633, 951474354, 94194893, 174866621, 632614063, 702367567, 761763812, 324931167, 948598417, 541163292, 384196586, 179582683, 374962133, 682696873, 277922584, 352332351, 541560896, 34363151, 225452952, 660202266, 266195117, 469381641, 124704964, 252546926, 925602092, 420243494, 3721371, 151605106, 860251977, 590861630, 468721681, 547860123, 883652779, 959746031, 823374824, 972573207, 551047867, 680876209, 308132831, 187365545, 925546248, 718306121, 308304633, 756443336, 974590100, 324709392, 269103071, 528559879, 52077121, 457190533, 605555588, 64636890, 728812749, 656837376, 303206439, 756724558, 768541929, 619719857, 140133572, 20037392, 699549844, 200105788, 725966424, 52626940, 642719923, 902223160, 607417710, 611363645, 765676583, 144467559, 272759488, 232056684, 431514201, 561775599, 762774971, 765368743, 678927833, 504996642, 589808713, 725956198, 102598644, 24343121, 168446691, 158488841, 523060401, 313024510, 663699005, 676252294, 389492895, 127110452, 467574029, 531376319, 319752410, 220004095, 181299782, 901194408, 301958470, 877086216, 419799505, 181678283, 766476610, 524326144, 120523468, 906199801, 967103129, 541178054, 667606643, 593245416, 700184361, 862588623, 7729757, 255547371, 513649039, 705794691, 893024843, 555620833, 148745345, 235838290, 571859499, 760890356, 789225584, 620181679, 189159665, 516468687, 237916185, 6004873, 695858848, 355834694, 941682223, 665572248, 640879378, 206170582, 11620037, 598830471, 718853325, 333750561, 46022443, 713162272, 76052352, 458407071, 52642838, 942629118, 875017777, 824776439, 117808409, 210172271, 953278262, 475103977, 370650413, 83556775, 490097345, 216216753, 524648284, 703888970, 594140357, 164389401, 580821229, 639006993, 825313107, 959324446, 105279256, 768637528, 887154661, 713643119, 345563531, 241851440, 468053686, 304233619, 186648232, 635051997, 586210266, 109505328, 543061133, 795294900, 304925672, 64032801, 71700010, 523834741, 372045097, 902849209, 53393516, 328998138, 505957716, 727289606, 759344172, 476853046, 206395041, 412369212, 749583277, 884036910, 298591982, 544587976, 774996158, 78912228, 653275598, 588015491, 441401240, 517533620, 554788326, 515174318, 758298812, 865157144, 566552194, 35566884, 376432292, 913158433, 231021695, 682098243, 850106823, 572657477, 225178574, 301975599, 135216956, 81019875, 893119116, 816214254, 386273176, 200711396, 274749711, 553604322, 701931559, 337684414, 416505804, 900364702, 335306857, 141138437, 875508655, 750682435, 745315101, 421238668, 290499948, 713431952, 729330812, 783533455, 214620898, 537035183, 359697066, 424848105, 592308769, 922974206, 434587250, 781063254, 677359730, 578801518, 254112420, 546264638, 564625919, 288547106, 631717369, 962440683, 871576618, 732235820, 592430330, 191097560, 422577898, 27697112, 445790749, 613609811, 990495869, 528011278, 779882921, 669181639, 556441757, 242540064, 739535102, 238134499, 691702551, 284781491, 115148353, 147823259, 996910195, 329053336, 389570946, 691655128, 934532143, 299871032, 94296310, 661577161, 540491979, 659669849, 757820564, 850815194, 950209198, 209397377, 351955066, 646454981, 556199745, 713339169, 542619132, 702196035, 873883018, 114994320, 357740473, 324418361, 360128258, 30464796, 58763251, 180065047, 671787939, 606458741, 349206976, 961121451, 90979793, 201074021, 916739971, 973003515, 287889421, 689706873, 459856621, 132147537, 544152005, 879220327, 273059892, 571553118, 447972901, 78821172, 142483696, 864224754, 443448749, 511758471, 323581968, 477472237, 698951631, 921073785, 990476246, 861510331, 220186279, 340893201, 205058867, 951293810, 417823605, 169771655, 428368501, 728476319, 580186758, 899237290, 360889787, 411219803, 212245330, 878023329, 658509296, 620441037, 60359273, 296932527, 304472254, 391439193, 281759930, 244250835, 609545569, 775036642, 729201978, 471997336, 224293731, 648455905, 50760899, 123102135, 557496190, 118739950, 530301232, 245052612, 949584331, 662163325, 986528797, 486420052, 68016361, 302564668, 996915993, 824477472, 211419341, 694961215, 577281722, 418543701, 399334933, 501687616, 148512259, 420841448, 265859905, 828017219, 485472177, 62352006, 419263994, 565988475, 213284769, 699240977, 182297367, 921150811, 444071126, 519477715, 971905873, 965035184, 795226346, 178181105, 659684665, 191147930, 374522357, 48537247, 915553762, 833959323, 118854226, 209388529, 875315216, 743121202, 969738172, 688821495, 237677656, 668608086, 353535346, 436943807, 931827111, 13503687, 722169690, 68444323, 503181611, 826818028, 995992149, 922222753, 210270003, 870576713, 514794567, 957653473, 495115268, 274657332, 922497304, 379247044, 635569057, 240726314, 673412017, 705796677, 445980716, 247373963, 94125378, 30247298, 816122174, 834461642, 567408153, 302923798, 583586149, 32447768, 658966431, 39407641, 7671863, 574471819, 86121522, 703427546, 226942506, 172649419, 57290023, 435941924, 350516776, 315117095, 286531744, 993637784, 609526200, 342846696, 906215450, 177373487, 687616539, 934662845, 629650622, 107119201, 183274200, 701577867, 415983954, 124794816, 946255079, 396414986, 34034727, 703347277, 357163123, 67486690, 718039272, 998500287, 867069353, 63893679, 963517227, 981435537, 973410024, 50754474, 267295059, 727538218, 906227859, 899621102, 508184803, 56308256, 923068016, 645073164, 310377034, 61443477, 502079563, 566378219, 193610590, 524805908, 608627088, 195375010, 368338363, 10929718, 838857713, 759101260, 572085386, 438659309, 784537779, 91058934, 793385541, 505974032, 608101361, 852173722, 646111756, 414443317, 709872298, 755996920, 830199153, 501580885, 862535224, 835854845, 330571542, 39633931, 609454405, 631021917, 387184689, 245562093, 387604622, 25168812, 556845426, 19579083, 403115686, 625651623, 755874140, 166524606, 916721667, 283048133, 755772163, 670640056, 565950606, 589677042, 324086291, 312096382, 942677747, 353799980, 743414976, 480961541, 536265664, 438796872, 697476460, 164728333, 835634807, 707669997, 378089303, 597368773, 120655130, 978502159, 492654119, 467903183, 693283459, 386157185, 356892496, 804733882, 837902475, 600352099, 128943683, 53305159, 671520581, 957197359, 931362385, 325461456, 973066711, 587377016, 855673712, 466338386, 61091770, 67884920, 898720486, 169644205, 327975638, 288115824, 9650375, 960890627, 72148407, 471320877, 65405941, 588830578, 835981486, 277507716, 49653032, 808460942, 655723378, 836923916, 539313390, 768074464, 56562190, 665069539, 60061611, 406337925, 811232481, 453739276, 336602049, 239822259, 714397807, 394172243, 896454209, 718668637, 637446587, 10157207, 116263952, 542727050, 792122066, 760726432, 539163229, 638559849, 66301722, 53964505, 210002256, 984708115, 176065099, 774969561, 542681340, 640534091, 882076218, 577385590, 551297534, 747708869, 527615229, 746958489, 554531109, 38464602, 759603821, 171537249, 984029685, 644162022, 200801530, 788810160, 325555831, 473095762, 600034027, 450997974, 929045494, 336232052, 803600611, 433462131, 822703240, 419152890, 945447715, 660516099, 494353410, 69066313, 229328465, 624611059, 621137952, 591053781, 336255491, 128599203, 509047229, 611449157, 310199588, 602030934, 633054802, 737089094, 287447701, 565479189, 906617033, 998565251, 897335508, 462393286, 752152053, 114164270, 148588125, 200661487, 553206077, 744160790, 443352794, 525120666, 750962165, 329609388, 751236684, 620422628, 401901470, 986868068, 872858194, 331530843, 251515082, 315758016, 468379702, 317849272, 985308785, 524711632, 615624295, 498613974, 372457527, 467245914, 206783621, 267031170, 350528769, 387682853, 467543613, 589260936, 593121586, 731302053, 289218299, 826793843, 61563721, 269697783, 861494287, 485860917, 19509170, 670351443, 209578257, 465554469, 173255496, 979086261, 418344147, 854735999, 849003048, 476319668, 952060848, 535566379, 839584243, 497286976, 4121450, 204739308, 62350977, 555170562, 616435200, 976875222, 245218901, 692865614, 293105488, 279433569, 48022497, 952527955, 805313788, 378969765, 690708821, 837732599, 44859351, 457696053, 246923589, 608234187, 717179588, 372382662, 981977575, 983841518, 927011095, 340018541, 560292672, 36039156, 491381937, 771438641, 784984059, 658564772, 874485223, 383442586, 22770931, 816173380, 889324366, 519927195, 101593243, 781667610, 288316929, 761922944, 43639547, 522883774, 783604736, 738904298, 339430769, 578270028, 151726500, 781920009, 389135055, 58124181, 736913445, 99196910, 544855652, 547226239, 458805062, 350190667, 404565785, 564263886, 864511847, 106791622, 363443022, 502919362, 277911572, 907489740, 889052600, 601440638, 834788068, 461972904, 695962531, 415957013, 3200457, 633707260, 428186609, 494793189, 570777221, 528595721, 950465415, 559056275, 668327127, 496098791, 28777923, 648247238, 87160076, 211540937, 274722171, 487284682, 987322090, 859845533, 668057019, 493274470, 609548008, 746515405, 645830083, 448487679, 823467490, 879524609, 687385904, 72315572, 276275689, 502916707, 883761496, 639716784, 769157644, 298078120, 818924293, 983140590, 319435898, 645646458, 812131028, 325311880, 712937634, 491417652, 333554799, 915714931, 882402681, 541204188, 40957590, 656850440, 356421761, 676317532, 5622936, 659572450, 866357556, 212850957, 212638323, 216429618, 598241205, 423964009, 660582645, 66768945, 85361888, 517089143, 357397416, 779658213, 334398169, 45344920, 101672354, 874885702, 719088961, 318005085, 834518260, 385274389, 988188052, 641549666, 327415664, 864290668, 171866290, 211578323, 356201329, 76647487, 258977595, 729684744, 484363673, 416865365, 277170750, 339625323, 277504064, 411873853, 295048653, 382248060, 605817012, 337893607, 178296901, 472917286, 137937258, 997993585, 305625211, 535857787, 357156436, 630600836, 448232069, 94269910, 648737761, 745558338, 394381066, 34134522, 86492788, 383259062, 650939869, 455961379, 201365368, 351719784, 888270213, 995063186, 554564634, 356848291, 150722161, 325551399, 679783145, 269409756, 920866741, 264348307, 466050933, 794769058, 691251159, 683764477, 483802812, 773212158, 120591452, 178153591, 961556439, 752369053, 205822320, 902705331, 352459958, 151630344, 971585578, 988614948, 372860828, 714814893, 742980320, 299996082, 716603946, 784819410, 163319723, 145556174, 402908003, 844749505, 938811841, 468061323, 514528083, 744013414, 590443249, 104254797, 275568862, 824035155, 387929096, 688830919, 719012036, 822337082, 366700867, 380252723, 721884996, 145389558, 678351481, 13524306, 219726969, 574213679, 284650660, 404750202, 987130780, 540111236, 105010989, 901486662, 405435963, 386168566, 14260086, 88240121, 426750443, 113659236, 344966040, 817143679, 666206999, 479214505, 500639280, 10072596, 668084788, 252172925, 514175439, 989751676, 843738987, 52420190, 146327201, 645114564, 566693437, 917662986, 197322948, 129956511, 102616595, 763856407, 662828821, 776754286, 19405554, 510541809, 335713783, 567517224, 261026794, 432539522, 212967252, 99166365, 446253563, 142722813, 104824695, 60595603, 244139769, 755035094, 681726466, 125173240, 9578851, 619529435, 636415912, 876202954, 78469011, 717871799, 82900499, 878527333, 820002426, 518551060, 47490290, 101806443, 389234853, 386551227, 277328592, 737604086, 132185282, 669034485, 969435585, 598100955, 715811776, 636504784, 856744429, 65590208, 898833611, 55518828, 939547371, 701227139, 99840370, 281535449, 71566599, 75896634, 27526300, 114765775, 784727425, 929364147, 327420087, 138185847, 9772389, 13166049, 310284843, 840314958, 155692526, 281999868, 538436225, 461005202, 107068321, 295215952, 462345389, 106901092, 485209488, 184976943, 393386691, 209708309, 191612465, 751478592, 38400941, 669583145, 614108024, 640074950, 131850921, 224195497, 918701737, 214072355, 728940370, 853807440, 904862675, 440153458, 739254614, 820984788, 899613793, 967296548, 95722450, 453022010, 933979785, 386684850, 538790156, 639525323, 762890702, 684661339, 774632435, 378089322, 225886548, 540219173, 774451779, 485166257, 67113848, 916253033, 699535512, 774795262, 809291986, 763849599, 105766401, 796439230, 347886791, 591223154, 643944645, 585946760, 853220638, 745467455, 843961391, 533033587, 648456993, 669100164, 130348532, 937840327, 126110711, 874305014, 821819998, 886853806, 917189549, 477262712, 4191601, 564864806, 797294662, 718628210, 325044849, 695231254, 228514290, 595127536, 347062987, 501331700, 562518091, 847419589, 307899781, 539024531, 116965848, 221822793, 866296887, 334685650, 323707837, 748457326, 732555907, 970997331, 304449202, 228940288, 252590977, 769624648, 392426317, 114951730, 403636625, 65941958, 602535988, 941290997, 268778904, 936087319, 818876600, 92608052, 994049900, 529071482, 235847346, 156533418, 832863780, 940457909, 228726355, 745384272, 453710879, 438555133, 61481725, 213525205, 424468067, 915967002, 208399975, 749434019, 145356082, 436083801, 630053680, 23170609, 29615523, 14776093, 660036083, 284320398, 784924981, 103301722, 277334674, 689769090, 222833413, 463497468, 581990211, 794407154, 598563157, 642264712, 214883292, 57145794, 611740147, 316064632, 183121636, 529488030, 713886317, 237420240, 269498457, 564536197, 18387356, 20515055, 132931990, 746087756, 622754828, 859605228, 270612887, 479963670, 599736739, 331999666, 968333759, 478220276, 578730886, 312123930, 194810515, 70304493, 752818835, 593587012, 217597220, 148384072, 306543279, 645496960, 389563472, 689716124, 709441316, 886503896, 111926986, 254986711, 299853548, 615680955, 532067658, 779871424, 347203465, 424083656, 593446231, 186417032, 121671462, 848516170, 980413883, 714077280, 274122656, 322170780, 135680177, 308493679, 265979305, 980182866, 763411515, 115135797, 779671590, 707046748, 966022020, 746961000, 492381879, 83665402, 779728695, 705854087, 744869949, 268069690, 687432118, 409025612, 891709245, 798766316, 472170991, 696814503, 67387522, 482822510, 589276708, 13996119, 724767823, 522404097, 795688697, 446833231, 468352728, 130350914, 92120063, 303002245, 705712736, 504931677, 467983834, 288931058, 217954806, 547314205, 9688871, 170344406, 449686054, 435050745, 482666621, 396553003, 487586433, 406995978, 859004499, 945200437, 445103856, 424650261, 437296786, 160091128, 364137204, 280646892, 937287854, 835902905, 734961520, 749091580, 426027322, 27549675, 222097820, 492696140, 544895652, 129658139, 851718998, 763152507, 415766999, 473936583, 782901222, 770764330, 153603879, 366306397, 422894072, 876218872, 726960789, 229086088, 242631193, 136685804, 657884309, 427359214, 364185871, 265918942, 384184510, 912530420, 622103381, 266207244, 239390389, 48521135, 441753237, 256977240, 133849630, 579369454, 154046249, 937204148, 784363338, 653420708, 678159901, 682224900, 907542747, 961958137, 662702044, 38787740, 695943210, 264935143, 887146647, 128269367, 674976090, 504857095, 405195138, 374226705, 952865939, 10363092, 926672936, 827263440, 992988245, 542119717, 547928198, 934926247, 292266020, 816717854, 767206041, 11767068, 761747754, 395951348, 698644151, 139855839, 93023263, 627447273, 682484168, 703158195, 841969922, 218162894, 766202511, 900361386, 94153238, 277274942, 740955526, 645846502, 222084099, 400928018, 807356852, 378685388, 934495764, 412321665, 904995946, 783396093, 842581450, 373874962, 442737980, 466880851, 5500653, 177066758, 297564931, 793161302, 302530136, 511943523, 617396687, 13243465, 816544425, 484808777, 625168317, 307375821, 215338712, 73090113, 221790043, 735275174, 621241982, 576869490, 177097903, 434065749, 355235213, 21696126, 656547690, 245072611, 207228542, 477178537, 905475705, 791774666, 370147878, 465023810, 296552025, 810219913, 246356315, 161281101, 258682040, 453800214, 980282937, 768980182, 172560379, 480722808, 881673460, 795982666, 677874875, 376907516, 403667377, 426089990, 931432601, 986043866, 449798831, 965755201, 877047537, 552357535, 323997857, 778521883, 299140642, 694928323, 236517854, 301514239, 469970109, 844657739, 905273260, 68677008, 752546875, 555750605, 965368118, 346975839, 320153753, 890657328, 370759910, 326300523, 361204642, 672027973, 659475632, 164943876, 735627829, 800036331, 607321884, 22618501, 945064190, 232359073, 624917983, 416495664, 191484105, 96210571, 861164540, 229889095, 170611314, 309756653, 453517442, 360101524, 40182056, 419254962, 379702688, 419383449, 661599392, 902465566, 977344788, 238169649, 837886834, 644510375, 822034485, 436404118, 60474682, 641397071, 732215680, 704588629, 418744616, 22555554, 883253333, 577516294, 740680184, 800712521, 763568243, 166867832, 694561312, 453698769, 929071274, 45961852, 646357776, 906369822, 960003418, 642978768, 923153983, 462462807, 441469159, 975511785, 818796375, 13061984, 62807383, 423307990, 108770293, 491245407, 909311400, 113230781, 863799141, 840899936, 715723312, 340691716, 269392014, 87609348, 251466970, 81962387, 945915473, 434257719, 817959186, 752419559, 15050906, 882887739, 798317778, 920301376, 879375758, 772235330, 219862805, 289765137, 79593065, 364509034, 94670309, 328986851, 450436797, 681695769, 802874598, 302965611, 548803735, 687447386, 626421274, 241528057, 424686671, 538909106, 635748415, 515532156, 220470682, 242771826, 687883842, 392176335, 809852262, 716273639, 565507424, 568072226, 745103990, 861024694, 281179502, 33366513, 611091211, 292540781, 194384412, 754195424, 243323030, 641384874, 171612861, 878609865, 877327621, 705584869, 655638886, 172984699, 154382270, 716072668, 126067057, 648936876, 710354490, 412172833, 840869771, 557471778, 742965422, 330860498, 406927212, 712326474, 341406263, 575138360, 184943817, 970545121, 175223031, 924085225, 449434884, 187782126, 171495851, 768716569, 250438686, 922630070, 162808845, 758506048, 339594056, 115935389, 458536273, 722928047, 433213069, 674559140, 567855165, 572531446, 437261993, 547528772, 130106890, 205713873, 385407712, 234127341, 830808653, 63572650, 666126259, 675342225, 553621919, 887286253, 895260311, 481417750, 537748229, 359858118, 722668094, 598676490, 955709578, 765577359, 588114826, 481328606, 522449454, 248178882, 532371387, 186764161, 659672264, 531104660, 305713282, 633200585, 765944549, 340343028, 624440808, 253124973, 538529624, 780472834, 119884814, 953334605, 648179362, 315301370, 513034440, 899751775, 563170447, 209134507, 207876425, 277128030, 467461719, 906953487, 619448050, 417895547, 883512713, 169343662, 326137338, 517832160, 212076261, 77387326, 282951065, 447337531, 796110121, 775635205, 793998942, 866076785, 995438122, 397852697, 933460567, 274195894, 383650474, 248465290, 637875565, 498627614, 538034034, 407412895, 931413394, 155069591, 760975128, 500490863, 526207464, 119660256, 402810652, 6231759, 302646793, 849076769, 915937596, 77737716, 353382057, 182391240, 325360133, 576519638, 122006239, 426056871, 322903985, 44115428, 291663041, 38447964, 379328175, 659239434, 915342114, 773113809, 435127599, 584488661, 20802633, 789128521, 459996626, 609458500, 108403145, 177731317, 730017426, 288795724, 880636878, 510499157, 874650585, 954313362, 600561506, 890411103, 995850330, 980219082, 936724713, 972874604, 113154008, 925756228, 659319594, 661884619, 539469994, 951910645, 318045208, 208142063, 153345529, 58146804, 863132300, 640074959, 101663102, 449710593, 345123077, 841774926, 837277424, 5609682, 776193072, 178677051, 67774698, 202024586, 432083536, 212887641, 180981525, 943067197, 930902281, 529790005, 527758074, 528234749, 453186210, 254305097, 440074139, 719738724, 231409609, 50180430, 463983102, 394538670, 964772704, 113710452, 199771185, 947126055, 832581440, 465302771, 677298093, 626033222, 65934604, 557141594, 618103185, 747799953, 220793886, 715573827, 226562041, 474372890, 876699056, 545810662, 278524051, 647717170, 880425476, 337993606, 143543197, 674454263, 30485978, 542023106, 635391340, 368258062, 858414428, 459895136, 81810869, 623263942, 71904775, 733017653, 3257160, 955987163, 769459492, 595041258, 399610049, 203570730, 462720055, 351620132, 257584146, 409966220, 242155586, 997447042, 808322717, 528225311, 615509000, 349291065, 601610163, 791569879, 255372151, 747433608, 656462710, 616176789, 556386116, 64207688, 404090963, 664057896, 882426521, 958745976, 249529132, 383519410, 529924640, 190837427, 936334133, 664419976, 393828040, 16597383, 391222621, 181660758, 289552083, 338747754, 311289003, 761525166, 579924860, 855938530, 482400316, 730137797, 644535388, 429716853, 37243795, 356236813, 992169613, 100393310, 403105964, 190169326, 252997337, 536578567, 283308741, 853054080, 18300158, 626827610, 971270932, 36523668, 558316526, 489248464, 733024290, 664208599, 731290035, 980332699, 331545266, 447503228, 66830286, 290871090, 122686563, 915048074, 882203672, 243761311, 494570981, 944839692, 160834566, 892935812, 153464185, 406320990, 413058083, 391470840, 504507293, 965990565, 463889105, 522796302, 977376607, 454750928, 154805856, 904285332, 809854230, 827245688, 499467946, 115954994, 678044105, 632769508, 681773826, 300257514, 216253335, 119170222, 862633951, 706805233, 789668490, 157612607, 200587281, 863222346, 415729787, 637165729, 210580216, 550288003, 847379034, 83088159, 900091703, 482024976, 672626924, 665126656, 343313975, 356205451, 369781540, 527125643, 518008528, 957570556, 530911825, 933611234, 12747404, 178404863, 62523615, 873925844, 915008100, 146147319, 971644491, 843012296, 395991207, 560918319, 594647970, 44328989, 246434640, 916047667, 992173867, 597490090, 56673897, 538831137, 512112861, 818787386, 795383469, 494724133, 688865476, 325490330, 911232429, 350172270, 533515525, 31555297, 838764031, 869955248, 576906911, 281131117, 965347857, 431551523, 802792199, 77927702, 635417966, 926080849, 463008189, 316224621, 150617510, 562825207, 813048585, 100519896, 665633741, 925711847, 549060675, 478456209, 860035967, 867693921, 271984538, 532414663, 32830327, 578892237, 542165116, 206820898, 249746087, 809842400, 134302359, 910567754, 45795305, 511978532, 632056752, 942070394, 340309735, 990758987, 685914211, 887914694, 792795099, 838292628, 376689743, 310084120, 404424468, 774442839, 937361296, 353124649, 757197016, 919206247, 10665028, 482648276, 396529581, 924112819, 708863313, 28392373, 209356915, 549237609, 147546935, 901347273, 659321078, 503645415, 456912870, 951049796, 2141147, 488128069, 904467583, 977729171, 90373205, 853954707, 93509668, 533184971, 946524347, 698968854, 220935105, 396081351, 448552309, 177823368, 219665004, 575489025, 754994258, 956609650, 544387882, 803989465, 239498439, 779290903, 183061653, 652093164, 372158138, 151869953, 224009123, 630717653, 861156535, 779457977, 162951920, 304605136, 26317500, 673826759, 790239519, 69537735, 529302750, 74362454, 376259388, 142120771, 756440227, 225639916, 586674529, 416563484, 699628267, 32473396, 409358154, 236509130, 384068184, 789626037, 148769239, 790004861, 882999002, 113693636, 893683402, 927872522, 522972675, 545535202, 875035079, 238746861, 630565261, 457201226, 713909678, 342619950, 339170711, 389583848, 162934521, 367012027, 101516838, 596992239, 689744793, 452631902, 698890992, 769239504, 793020655, 267032966, 613644452, 97474368, 731125100, 38082803, 402037323, 873077076, 822377458, 546623749, 199358731, 116808391, 293077137, 482828536, 999096398, 979284899, 880737302, 452137555, 872626904, 581801254, 981899168, 802735827, 173681252, 639354195, 651943636, 245669476, 89675195, 345729503, 79414217, 253769581, 186443125, 119824387, 274198495, 940922572, 94896809, 692462972, 771844935, 888398937, 496908603, 253319301, 511682790, 990988682, 336310952, 235091552, 431583247, 721125759, 807655269, 2732200, 949424943, 757132666, 260136852, 284922698, 203016354, 517744582, 305204070, 175043218, 653424595, 119393673, 828478635, 701332925, 753615336, 862288383, 1654968, 562677046, 439147265, 489698815, 948849696, 603243149, 985398491, 508423322, 708554003, 220809129, 474558040, 78312231, 198134566, 207086586, 231636819, 771698792, 581173667, 331916938, 512117726, 131009430, 457838937, 54057143, 960759199, 487509864, 152416886, 435108788, 940715163, 748860228, 609715419, 550583848, 954413228, 220733916, 848071823, 593329324, 247918724, 676448622, 576904137, 589079622, 892152760, 720611345, 566284189, 314187655, 396394533, 905505800, 30399423, 479718980, 748773353, 36008622, 455202271, 261003477, 362460814, 10144663, 985477176, 707491204, 711699519, 185855993, 437644953, 939417540, 695784442, 249556486, 431968459, 968428575, 185462068, 819282691, 377281464, 5768789, 216221404, 436877215, 842773505, 447018746, 742866466, 751009777, 700449983, 699271081, 668253553, 971023312, 438447893, 927037672, 714835184, 446744308, 597447925, 836359213, 771461963, 987784048, 401152464, 410415443, 514570654, 951041605, 198337406, 809832693, 685090811, 688118514, 323749820, 323352213, 821964083, 126539084, 784070552, 676960100, 463516716, 565382006, 163314280, 80229122, 607028734, 571248930, 536040511, 108255601, 750237653, 871483690, 312398094, 22712474, 455569795, 758338504, 436193212, 392025604, 250386181, 967527628, 458918577, 523083475, 965873848, 940505515, 358838427, 743670923, 782955769, 751783755, 557191108, 457917092, 253890200, 829315231, 82258222, 101128386, 560837958, 387088578, 686431672, 68604824, 659827184, 170944772, 951782976, 558872016, 568323900, 489947227, 373258871, 709517022, 823486453, 953074954, 172229998, 713346615, 39620682, 874907717, 304642991, 741484849, 341462453, 846639744, 326855200, 144318082, 690136804, 298243596, 933674299, 101670732, 587548471, 622218298, 521303407, 820734323, 807029723, 217515259, 623335757, 541644438, 866271312, 49370470, 671292519, 119712551, 409226982, 634833192, 496427743, 62270180, 978224323, 796567098, 627048541, 409292865, 515327270, 912781910, 105543769, 574686388, 611150849, 541036321, 560452092, 797447338, 859250066, 731443509, 779408531, 808675248, 292627884, 724029081, 167455501, 667739603, 682149342, 92918258, 499484230, 653748889, 810288126, 132653316, 453021536, 445836074, 8081469, 993148462, 722230609, 828947796, 254718635, 970373796, 301112477, 450220074, 744130892, 972573335, 375056718, 697175261, 303016157, 866121895, 795533664, 552003185, 833793605, 762325167, 891995743, 345256790, 717097645, 436940331, 106278844, 27754746, 379554207, 286755141, 369110163, 607145102, 655009341, 571835204, 47862801, 352550562, 222785719, 532879327, 159316850, 197480575, 754125851, 191110, 83467704, 56720530, 252204408, 678152626, 254395688, 212999878, 973416851, 161183273, 766741437, 156510363, 790591476, 260293080, 36139309, 443711906, 944764373, 745513065, 878715680, 587442381, 925959446, 467406376, 699593498, 436986679, 472003764, 571681218, 573189543, 301463730, 91248982, 149014672, 297958210, 599611288, 710981358, 781972278, 413272483, 986862277, 15594348, 980697792, 163524222, 278137754, 226656901, 271273962, 931136580, 401764852, 144459773, 50817760, 792741695, 878926919, 242382442, 84874653, 998103613, 749287106, 273846270, 920868875, 356147066, 372452972, 929863673, 70897077, 858049244, 136815880, 649360402, 37347506, 378659202, 695173373, 821725981, 362914096, 187868377, 467379441, 566055677, 334231649, 511436287, 52846067, 654418359, 321027058, 359874542, 355946773, 148969692, 815223919, 675157406, 286813647, 336631942, 944759774, 18737877, 70291224, 238121572, 338158151, 83941744, 884547400, 111284910, 993700963, 200783779, 811072935, 21408585, 147830732, 988656088, 576098186, 600538869, 853492825, 165670177, 570781688, 481646771, 69693534, 650728418, 688057818, 732146488, 360409809, 112951612, 58245412, 525826840, 955257922, 271507710, 985230075, 386035708, 992377878, 301700151, 454416880, 329296798, 616150455, 44215072, 730432258, 834324438, 284748082, 597962490, 954197790, 640432076, 776638870, 131011479, 952222292, 637468025, 56551706, 94968433, 843076063, 129506822, 977113980, 667927827, 444109128, 521262209, 534792971, 330232528, 519513376, 350734269, 413700549, 950458591, 53511096, 244229852, 283898023, 424175978, 587836618, 370345453, 883710455, 503023245, 105502666, 422906353, 205316474, 610333478, 967159939, 740365028, 981589637, 99051327, 961005126, 448441775, 579297767, 783630248, 894282873, 196592762, 356286781, 198120281, 893390942, 712743141, 283253492, 265694962, 442804457, 577959835, 674858151, 703296695, 190429874, 155591215, 690809778, 838141920, 346499602, 392040890, 255376212, 435541270, 739293618, 360344406, 183814564, 509338256, 320013256, 885041868, 455750625, 399526024, 628496865, 494219611, 265829064, 655626921, 414489838, 733489019, 186299079, 678746345, 385746299, 86174475, 321405377, 636849670, 832591081, 494096747, 584971536, 339294606, 723066776, 88177011, 102454268, 242953706, 744612204, 271091184, 343654145, 186323516, 133619441, 161334339, 94148197, 820445624, 449400585, 638939726, 681038749, 458087092, 523993155, 940245700, 759399604, 791113066, 681216247, 264218754, 935070793, 497939615, 472017383, 563584451, 96283537, 136393106, 632803692, 67812024, 626524907, 130340981, 663121947, 527873691, 58976995, 160554817, 681328210, 73288516, 848826591, 418824905, 633423409, 225626614, 545129803, 343643609, 319227015, 381011201, 578717739, 683077646, 834317071, 885582234, 457160624, 614251152, 566305412, 359653416, 919983865, 677669170, 775729744, 588452752, 412152068, 263713774, 449561728, 251321697, 758798994, 472364333, 13452989, 215499485, 427455875, 733265560, 555351713, 897521972, 52992027, 425460241, 312316635, 430226152, 866681943, 562973788, 51141434, 22586068, 718763708, 798113515, 693452496, 163201424, 97209878, 638739852, 32835305, 928145863, 940060345, 122709889, 279817012, 23460670, 628214938, 795302735, 153842139, 969270970, 284181126, 475764923, 260121030, 352214804, 559132247, 565888408, 36050659, 429968280, 999257738, 197155659, 399904050, 814553767, 719290554, 128621594, 271892338, 897883593, 937609771, 496891826, 727461131, 963364146, 423241183, 536922299, 388453961, 544863644, 623247080, 438052955, 820474308, 975952727, 919596825, 167981981, 128402831, 847726830, 708162115, 247311948, 700348516, 418905225, 26204255, 412216841, 14823379, 426653713, 805260024, 189898378, 564069453, 875582163, 872461792, 534948783, 708516364, 397684043, 318986601, 636137976, 131421585, 393853462, 367034150, 331647615, 126832238, 810093983, 480966333, 608481935, 498576789, 883251989, 894714261, 634473406, 651831769, 331001046, 264640449, 286088627, 53638573, 540749534, 353803612, 112698294, 37927009, 116622311, 253565735, 445929891, 651779003, 918247054, 943270007, 206463198, 746145035, 823311941, 27887729, 843266329, 425426981, 807981526, 735104779, 808459088, 895079936, 161255772, 740666384, 83689724, 666621557, 709255072, 499290939, 304249710, 547946489, 93840578, 867086643, 22936005, 777065980, 659413981, 733504919, 15049961, 237574092, 68324446, 603627490, 805137383, 222935431, 519390195, 7118712, 945817983, 260363723, 825197777, 456671713, 158760543, 520121107, 810462777, 780487155, 723840669, 120584278, 888337605, 749902088, 483148487, 365070031, 302702417, 962285121, 912311523, 101210012, 712874489, 6324937, 841064360, 696401089, 633808849, 405141792, 692764923, 484449917, 195463638, 459037831, 389160930, 776686969, 747230108, 770355808, 685488287, 326933302, 851378511, 193929573, 673874117, 9519405, 581765200, 990847043, 467718633, 53851304, 332656955, 814517741, 11065289, 171692410, 123260937, 941837143, 32961787, 986783707, 931922060, 250391047, 86826734, 198607871, 488015331, 158990313, 35723714, 864642783, 789712130, 30003762, 233758901, 169882036, 845200979, 522776078, 948998960, 531343661, 354000394, 863002749, 946494988, 531130104, 941852249, 497566688, 570003048, 46420337, 134639585, 950357205, 981611551, 942156310, 923305067, 889237050, 544512149, 183591358, 190962207, 892170683, 77990322, 124178804, 712406116, 868519128, 297078627, 56836479, 874607904, 717348152, 214733837, 205035843, 587822176, 591793609, 153553773, 167593446, 429184338, 513366945, 709500553, 983398506, 143951412, 199507927, 815223909, 891406672, 810415370, 613681838, 733233642, 115155989, 184104680, 383616310, 281012764, 294875557, 991192749, 979583317, 919920136, 352379087, 781250166, 539769949, 149072925, 576985566, 484517220, 961853207, 356783813, 382417288, 54546077, 805792283, 153943757, 156692571, 436546841, 503314538, 352254353, 28686316, 339505691, 656690436, 994336148, 886971752, 846884743, 810938448, 155548086, 859236161, 614638421, 839054117, 413400623, 636908983, 510179700, 652438597, 228224693, 337616254, 972475804, 468067223, 968868273, 482644907, 575828404, 704245297, 778682992, 597497646, 77535714, 408124920, 209431341, 48683825, 455999282, 126956166, 857951286, 6524747, 565807558, 353761516, 156745983, 312330803, 45603373, 955454260, 163387438, 149610768, 131585998, 921061309, 502581024, 330609141, 911244183, 415359109, 843140805, 664440439, 754426389, 491502182, 846619257, 618601937, 247926835, 186211970, 718454076, 116698947, 767612136, 695270275, 218795089, 758679389, 896118312, 979242672, 429143165, 21727548, 469373834, 326238888, 684999469, 881243905, 675699993, 66792724, 917796605, 354361922, 606553921, 826254125, 587716494, 227243322, 278341394, 149888410, 408792462, 855915930, 294138396, 500038320, 552444853, 958896390, 629279231, 473921955, 353164465, 750683228, 413283190, 559083674, 973084895, 350327728, 324049830, 819448147, 72359988, 311378114, 957890571, 262787833, 761614414, 110706464, 373073998, 978790282, 243098711, 208171896, 677151781, 309510800, 376272764, 886711380, 926135931, 603275077, 837220302, 389591541, 378060633, 436215490, 21553817, 595305410, 663724925, 360353976, 333622753, 22542545, 485068714, 519826385, 523531926, 358129826, 390304613, 830433583, 206071137, 724386796, 290146857, 535198282, 8380227, 47696422, 218497491, 56404889, 267231426, 69247514, 357216743, 243565965, 362912984, 302097974, 436866614, 575477912, 861256252, 512504058, 956661775, 250667384, 829839441, 867117698, 759428727, 45299178, 950461676, 760133624, 306570459, 307558692, 290739306, 435385951, 795293771, 966661941, 616868071, 24302014, 147800457, 449910800, 493631355, 106917275, 69319818, 744873396, 51679898, 414107677, 859356072, 467790182, 344749775, 382774478, 933107076, 604932539, 869464051, 712410701, 498246990, 515914345, 978269073, 394680608, 440184752, 482056547, 249987166, 250057797, 875225271, 132674862, 365141148, 49175762, 7221927, 612189608, 136923525, 142563764, 328509157, 98042181, 377397726, 921055577, 264079780, 226574179, 588023400, 935505634, 322673301, 722627840, 560165330, 659129168, 880016627, 645627214, 820577270, 560667581, 267483681, 820764801, 748046895, 630408123, 71614722, 578358257, 321657976, 504076977, 180449652, 158526096, 710459176, 610318115, 343457530, 817036635, 478829613, 349641233, 967451815, 989383848, 632907539, 679611628, 3338194, 57803935, 954452660, 372653539, 797030045, 955635644, 441137630, 965961460, 709443093, 288706950, 962942616, 79950283, 341912091, 680949768, 805490642, 272381045, 89937128, 564716647, 864523334, 863805192, 972096452, 678411219, 66700733, 607362203, 228937879, 180424789, 311759649, 783908559, 353669394, 974243195, 605926888, 167478142, 561509326, 158672140, 565852180, 543181455, 259775499, 518917978, 92076061, 453404582, 22868202, 678276012, 559889638, 479069929, 464079299, 871916070, 256306432, 471642455, 226515558, 769749762, 538992818, 103320420, 593766215, 906398784, 697985055, 931366105, 260798596, 765143089, 961598039, 663855021, 991893818, 205290608, 151591441, 547396930, 661706823, 532857877, 800640210, 201889559, 929291626, 857862514, 942492710, 555984106, 598315703, 765180319, 174207982, 54275227, 503319496, 566826387, 732979842, 31922859, 25145329, 999226186, 447509733, 390038315, 123022592, 632407090, 876605201, 778160774, 86840969, 340259980, 523294054, 266388962, 499941941, 448975754, 651064339, 587772257, 185725032, 305084357, 85250685, 484949577, 964245830, 787789559, 928053917, 242053520, 388249720, 102628387, 347878240, 982166799, 330734777, 292715402, 691526137, 720503407, 159918307, 4407442, 778116019, 736579081, 788307779, 278349816, 299268242, 157574211, 683883859, 404259787, 364893645, 9262794, 558861477, 366413488, 294968259, 546567397, 568316916, 752955466, 855589734, 885622077, 840188739, 576149977, 280373544, 527814903, 886747847, 443911945, 12591466, 979237229, 257895713, 120115109, 611773736, 476983738, 829713323, 437582839, 700679911, 518547936, 718827144, 537229440, 393638791, 819224799, 650292954, 105780307, 850882155, 144012597, 988196512, 951068196, 124493438, 155828004, 223784170, 534685032, 335006116, 119938264, 894275994, 590348912, 34028063, 68771942, 281446282, 750644859, 859898946, 471600008, 92139735, 755329289, 487562531, 331165104, 691224782, 94181281, 574549795, 446513034, 856151505, 172785387, 709643754, 806729602, 471942916, 926914984, 773707072, 67647299, 819961677, 510633383, 647192410, 306849447, 72017865, 345582441, 914334787, 319630859, 19611860, 862620217, 445542396, 99610393, 9584732, 367397851, 747629700, 912645785, 782699626, 326694003, 660728684, 319415528, 17961446, 678383108, 61117671, 349815823, 183473684, 661239726, 765695347, 512036986, 392073687, 936652365, 10258403, 913414994, 140857443, 640638148, 411681631, 569475030, 212125992, 316498943, 318434193, 523393740, 584520776, 998261838, 275215604, 610681382, 720355946, 219803192, 413630367, 798351669, 741201366, 777010579, 499729238, 383014402, 420256483, 291190137, 322709428, 576523215, 338330540, 969112457, 187570124, 70624011, 68754182, 672642514, 175462387, 114130517, 460481977, 538155182, 892476757, 418942814, 872162277, 213338544, 337612432, 904111113, 519436940, 342138634, 118928233, 123211100, 90401757, 617911172, 562391218, 889318354, 124529263, 495787172, 638348305, 886817805, 569199910, 485634095, 848778720, 109676494, 920904932, 629403753, 113659237, 116009117, 654948905, 645376055, 414065528, 461555242, 527755856, 920228357, 330126005, 172218060, 483888817, 90933081, 375189159, 310669680, 792975986, 870455538, 251296201, 188117655, 633906507, 80854410, 562817629, 595648184, 416280287, 533990561, 868919398, 316506709, 532026510, 298172470, 625711757, 611015370, 138512091, 12922031, 668284073, 913973564, 929482649, 103126621, 239042365, 986127464, 97603766, 884777015, 496925023, 581246321, 337819543, 215377505, 120046570, 825822370, 832541694, 693701382, 94341939, 935011056, 689904122, 235637587, 406755694, 81205847, 328232013, 153801359, 427246432, 304310472, 38374749, 850938412, 776822150, 720803158, 217620076, 276514970, 150283306, 770847527, 81722556, 154630249, 931381766, 925022950, 413339339, 716346794, 472543677, 533092116, 644316733, 734058919, 656550714, 563990490, 787322078, 913116296, 77197605, 587827661, 784822554, 623366377, 939706739, 245066760, 980124616, 257233308, 689684639, 667833759, 367443466, 579661218, 406536593, 560577092, 773313222, 800070907, 799646415, 154722619, 356956677, 582613933, 14382394, 331759619, 875798556, 966140758, 931952982, 164483357, 769483928, 282788883, 645847897, 379792202, 518539476, 215392706, 740769641, 76679710, 282623998, 363459544, 850964692, 686278613, 283820867, 554381667, 287546368, 381719729, 373129007, 590348881, 669047227, 792415111, 135177134, 683494911, 2136992, 972783594, 682411018, 95346748, 844301845, 693796617, 723292386, 199963606, 16526311, 410100231, 246296903, 942164630, 950362620, 18712061, 952120107, 418433108, 406189598, 338650425, 207546422, 427740052, 195818393, 511955507, 862151364, 571863570, 880263403, 681251699, 996909766, 712916363, 651284464, 381988296, 505753320, 79823272, 256222931, 290160337, 661435591, 292126572, 496017691, 402809231, 571584390, 678369638, 607833062, 643773284, 100761655, 56163405, 94522504, 839203721, 81034118, 732983868, 176955481, 216150313, 657456685, 80589685, 864318871, 812199476, 486604001, 906545355, 450774593, 467401755, 205830621, 775207394, 458626206, 723722515, 143041049, 35114061, 580456074, 298070358, 628798255, 466478016, 130891594, 179776469, 873259073, 186697368, 481652319, 153287709, 762914721, 657292678, 110375727, 115164071, 303502894, 57287155, 235298525, 553820179, 99256638, 862305549, 59180551, 652546607, 541082436, 697271936, 205243477, 425669452, 525726997, 596910157, 55611534, 467420068, 484651436, 253721921, 114035116, 492457754, 108493904, 7305627, 24106459, 718958412, 888307390, 482954269, 739442668, 723820783, 972076104, 453116420, 527243006, 672329138, 261219588, 988187082, 692172139, 683243361, 359994922, 446341409, 34730512, 513051257, 549004992, 875407441, 339475888, 801978917, 341913072, 352032824, 73045462, 788143941, 486806907, 941207758, 704466288, 961300646, 615117414, 457455664, 307748117, 662071893, 681399497, 884371865, 811984687, 490101097, 639878390, 776156711, 30933800, 734355766, 49832018, 21553567, 494787326, 518872501, 588652671, 983971993, 557308620, 772727782, 172776052, 436625251, 792626344, 812399963, 436225778, 545922646, 288019242, 909659552, 683990603, 181957621, 71708368, 701403686, 39788369, 354644587, 239947505, 850151930, 559408927, 208751774, 267518467, 130976581, 528258771, 630843052, 224250644, 80358985, 930100659, 812714860, 878438919, 764846926, 902537298, 791516676, 921897788, 966461607, 980354211, 14741077, 582690108, 762726440, 802931766, 632907183, 28469309, 167463751, 738558818, 41149020, 99348568, 866093586, 614408536, 24104620, 338348521, 48427151, 262170212, 551573846, 886543808, 984129027, 563658956, 739251594, 863604404, 487838126, 248838626, 779830378, 682961964, 916562779, 955560284, 900325568, 664607494, 482503806, 263463112, 289806901, 582499696, 798157342, 659860507, 620710361, 936303085, 662932607, 188614683, 891858757, 165614760, 366850729, 984664468, 267661679, 141881376, 922523934, 682894967, 473632549, 904459684, 872326084, 183075629, 423123883, 877288855, 172003090, 440448080, 950794820, 387857036, 278163054, 472637823, 901824589, 726975016, 720036600, 166240653, 923302162, 319580533, 596306679, 228036778, 640870425, 441026158, 907699090, 394462675, 449037853, 247866276, 674405405, 893516684, 299087375, 87721130, 38054049, 904233468, 131186639, 123857708, 370170186, 344537991, 935149775, 955633829, 21999150, 544822001, 336098034, 791968, 222850775, 664573907, 671406800, 650644822, 624821321, 938638689, 317501504, 93437412, 756288866, 278335803, 909598407, 39975067, 258994972, 933841135, 674873967, 465081292, 174638121, 646906895, 505547010, 668563309, 558420199, 995225341, 20985172, 41349614, 496798587, 584219798, 335521128, 605527342, 663245372, 125415394, 168619762, 997267443, 490625272, 855214493, 998394747, 597156032, 777221429, 541754532, 225342305, 881154796, 637091365, 509500954, 679382043, 412009765, 646899645, 276283736, 881671311, 264922912, 763488988, 668927793, 69172732, 85477745, 873580884, 258604031, 106906998, 192681507, 902446708, 357272778, 146919579, 185735589, 950058535, 653675656, 78499060, 287665972, 466592532, 321113820, 14918203, 900492232, 366803924, 858496276, 199454832, 416508219, 674941272, 502177710, 565107217, 776372522, 937637961, 426627269, 286083577, 910453801, 879458000, 980962192, 752531195, 148885466, 808249430, 268302465, 882028305, 116246489, 235335348, 535188395, 245014809, 519385307, 943717922, 171225450, 364427323, 610312247, 236720240, 826629251, 669292792, 986093700, 669216263, 862269858, 400897320, 812023189, 746811695, 107960223, 232285054, 835761991, 691140534, 582225403, 330780571, 519658877, 996344573, 938573311, 223953098, 68659660, 741740498, 84523998, 76473253, 618535018, 461634778, 224291426, 5940777, 2209975, 175691483, 935735634, 184413706, 227320909, 651173203, 675093616, 906126877, 123463684, 927812281, 183640699, 621695948, 41260416, 243988536, 308119346, 545672418, 274719937, 649943810, 938471446, 165015341, 759269150, 786324433, 806537412, 287536065, 679695153, 27677199, 350332333, 993613511, 341942147, 404930292, 453985639, 410537098, 414719146, 767107114, 604078145, 271194973, 122155184, 354368128, 328086493, 566273160, 154937574, 312551762, 824867586, 256511252, 537055020, 224670644, 545790786, 887824585, 325840333, 822797125, 415543330, 798702452, 263860454, 137411294, 654572426, 805271771, 789788500, 853249358, 490343154, 174580068, 263277734, 91792123, 536858743, 305934676, 614536272, 21735800, 159046937, 219952759, 755245887, 81582599, 39474638, 605073366, 430231552, 4537200, 133287322, 342412261, 819069700, 946843442, 769630791, 824921732, 942693538, 929994947, 709505547, 99946370, 280394621, 636055305, 83426434, 73386901, 43974340, 301229731, 348032866, 683283990, 792067975, 660035720, 301439973, 882417521, 263532712, 252582246, 415834826, 814869679, 444470364, 192660594, 200194773, 155917154, 614048777, 611072455, 510328931, 928285363, 155911966, 181789298, 835248707, 843602935, 111209509, 91012326, 229683503, 874416991, 994623076, 970498645, 82404829, 857781682, 279764694, 668911290, 741130356, 771839362, 410927327, 475595896, 412909510, 415407331, 131879523, 232845576, 784004936, 895206179, 428529337, 605485852, 98737270, 233281582, 741576458, 250221547, 893690403, 481079345, 674263597, 610176110, 446606868, 343164094, 780632186, 489557069, 202248000, 608914861, 210384338, 881333593, 820608649, 451193413, 988795643, 844576626, 198234264, 358468755, 436796374, 498152287, 255467900, 195734649, 954184502, 78596582, 18369038, 675796871, 457729788, 527331512, 340265355, 640161110, 213741627, 347376402, 851426855, 528827279, 425849713, 932705314, 977065711, 925446077, 748008011, 467472080, 291514379, 737341205, 610389146, 684435964, 820693111, 805908942, 892710075, 860163435, 663339260, 694001210, 354596550, 711023656, 386261855, 82972429, 174108457, 498352664, 102485967, 721835688, 704424385, 559135913, 483849819, 277956217, 191278523, 106466567, 143695536, 177164952, 315304036, 495156183, 138215018, 159543646, 960663106, 493036428, 379780158, 711547258, 156599965, 66294435, 778763249, 832138239, 483022276, 725965812, 743351035, 873347963, 562634883, 976641104, 383669663, 32339698, 784727473, 37742842, 660689000, 715929919, 399474929, 104312692, 813353169, 749138248, 285400362, 743295569, 498606573, 786916566, 295437818, 441338104, 947674071, 109442851, 405626092, 18345461, 56061814, 779214307, 486140549, 649668556, 4098618, 375331443, 172899058, 921789840, 24348643, 790324683, 263383076, 190155165, 390979112, 668922470, 183526475, 425830776, 249650602, 660949413, 329674226, 271581477, 368724504, 156218924, 768246373, 894281129, 818389753, 803078932, 63488081, 109713907, 540595626, 313142350, 217560277, 808537809, 956409480, 52070499, 594825299, 940581562, 217446044, 663847115, 142919138, 508143660, 629432383, 306190261, 554267278, 90312904, 762193559, 303827283, 482080459, 762736262, 519214376, 13009024, 663398399, 369416678, 288577945, 506003829, 672454760, 304269823, 603849592, 454130773, 890929387, 741085335, 410580120, 305084350, 244753041, 42711220, 7180416, 699907821, 126631605, 631008989, 497252930, 912400023, 285043421, 364097786, 909741435, 537788243, 625141971, 46705573, 509880524, 395860786, 291662337, 754546015, 702284439, 349096291, 164382881, 569660269, 330392023, 82898695, 921738751, 52697231, 301372899, 362059644, 97827412, 894383914, 854812602, 531556924, 895887297, 217497972, 347757694, 207613017, 45761566, 287340801, 656976937, 782474080, 217718072, 767168402, 125217402, 867480189, 502474358, 745404887, 312222704, 857847846, 626480596, 201816938, 91037811, 771020367, 271153286, 910336763, 717802864, 300075436, 92816318, 745890115, 32765160, 606166679, 933971761, 714994807, 227242726, 978364673, 975922931, 695243832, 872804502, 652947256, 585880832, 292584863, 195257712, 108132747, 396424928, 338151174, 140230878, 466974954, 638582661, 261435776, 734339394, 810738994, 45000950, 45307592, 901926567, 754377514, 896860320, 730316268, 415807449, 419263561, 38073310, 931794880, 231021484, 747950505, 28637925, 149658248, 44504199, 469290750, 452206199, 445931457, 678906679, 713681286, 468098897, 112475442, 39155998, 806968017, 576981052, 242279728, 807633665, 502239145, 369417052, 59447436, 544823193, 932016280, 318020529, 24749070, 724509429, 441323437, 145190319, 516268817, 925048926, 234575422, 888009392, 938944141, 590550581, 417878389, 272305549, 596720572, 395521184, 43028012, 240122162, 96683962, 424729184, 718756805, 3199235, 71333802, 2260850, 434482574, 692469904, 632674521, 215445342, 826830245, 392400827, 937920059, 671816256, 702556936, 905195859, 395085192, 975138548, 768604555, 243014118, 377155345, 217013998, 337803726, 351553252, 122578293, 189822324, 434298345, 945214574, 285777998, 692416920, 815933536, 303518868, 227537214, 85577558, 831528138, 970515065, 887628555, 151712495, 809708486, 842457630, 291881262, 638671516, 699902701, 727472306, 151606175, 770032454, 226963869, 458415542, 463517127, 369568533, 734316179, 891115443, 312898364, 129217343, 380255813, 695790256, 319627995, 806049511, 662099051, 466183258, 699991422, 405141323, 796070035, 349543269, 924321829, 620059119, 356657026, 968587533, 949762128, 818762840, 6337730, 972788532, 440447728, 187753349, 939005264, 899381828, 835587516, 853138994, 312120574, 645085673, 685620175, 512218446, 881241152, 943583188, 102073392, 210669929, 454192886, 546470127, 370061341, 623489716, 190356855, 414713596, 754664957, 205268792, 379961779, 788323627, 930202542, 67338965, 116156519, 922392616, 435853776, 447243127, 732688405, 822428704, 517631230, 529133453, 72395627, 760620745, 707719754, 838562303, 779656155, 906075480, 242779061, 444448208, 350000379, 485386296, 895807793, 563220969, 252416092, 523830907, 802784124, 739680610, 347218594, 520027605, 74656724, 575392727, 933534838, 981293874, 854708059, 180389356, 322974446, 669573715, 861156718, 462012091, 519456752, 147118465, 259546974, 748128945, 601184336, 463518309, 742007655, 272266179, 10667670, 282988511, 660415545, 817636130, 199180281, 62077546, 63663864, 346528765, 196749137, 831786705, 61192478, 58554971, 954367555, 747105718, 864316913, 847807520, 690616096, 580347474, 31288564, 162861713, 902201923, 319830556, 837629279, 909537135, 231080615, 791933549, 170394153, 810627676, 140600862, 975194198, 29913354, 191004549, 937110092, 446563737, 43630185, 38050114, 727844671, 723189475, 355664237, 853758097, 760708051, 217174157, 865927248, 441220085, 315691446, 654690387, 685062010, 443482590, 231756653, 115465725, 426955492, 734511978, 415049251, 201590340, 636530431, 252051877, 517528500, 29837650, 49783845, 121238094, 760011423, 295618020, 533822196, 103292796, 903714411, 106145255, 30367295, 1364772, 149273709, 538774480, 219400184, 237644840, 738187261, 987837103, 810873676, 849949322, 132557319, 838074879, 136929604, 263490973, 549700068, 540089613, 754181559, 875555594, 144183097, 980019417, 845657666, 300979606, 618766607, 98416556, 215958832, 118402300, 390606945, 269796657, 709330396, 429680974, 540503080, 212202315, 168278309, 492224747, 26553863, 395495556, 90167681, 841319733, 478550428, 24242652, 336549942, 208047428, 531085360, 30697369, 686982744, 757998699, 986923831, 699766215, 807483054, 141019169, 90368320, 234683498, 351464962, 939459187, 52856887, 858573721, 295763424, 151223445, 340693047, 683997022, 905644219, 762139432, 666885723, 183895807, 376828800, 584124808, 769312216, 724698119, 429038989, 90018145, 89098985, 746118195, 762461323, 669816796, 808929527, 821214703, 271671230, 163840837, 138354672, 980331144, 467927936, 198769649, 532486122, 49122062, 805533869, 106478519, 445992957, 555837008, 832519260, 751287523, 188174366, 235900164, 730436717, 354043538, 611759744, 457926378, 476021725, 808848434, 237722595, 511618308, 430785860, 245224980, 437741919, 614376753, 384953685, 709729527, 811122008, 505425023, 408164069, 753800608, 470906530, 851338320, 645504337, 599706892, 343713536, 132686920, 415065369, 740126906, 497194201, 549479651, 863266238, 203106604, 541960676, 725983545, 410464722, 895396356, 744558290, 438552731, 768176778, 841523385, 328735457, 631045672, 996711193, 282922097, 157547040, 160772732, 27950908, 839951487, 655769260, 307052633, 330023700, 362701812, 539310933, 605132407, 414288056, 666395258, 32623038, 135894179, 956840338, 129816640, 97400853, 639169803, 205282943, 557646660, 729148300, 306940629, 459876123, 744028783, 158410455, 957540698, 843177929, 160066314, 103031222, 797773137, 770923959, 794551091, 402319613, 131232606, 275298909, 818545054, 644228326, 629899279, 535409524, 300910105, 188447951, 73496615, 312009879, 47765845, 958621762, 734392011, 188304467, 183341252, 577659863, 696826295, 357402089, 228770942, 536625337, 624338675, 863372747, 749915500, 964970660, 827542431, 219439383, 142986799, 269744924, 252843828, 952376114, 17855101, 14540396, 620995798, 206599715, 484202845, 514309373, 860197007, 209769738, 404520364, 89149500, 318770122, 831859011, 319625507, 907709834, 929304466, 172289047, 933000907, 48088197, 295190770, 151750399, 698442032, 54179648, 907425796, 629912977, 764963258, 402963478, 125723896, 320669803, 308212996, 98806838, 183768739, 850529323, 912065397, 833576654, 609702843, 482255166, 703250283, 867825057, 598425463, 677346492, 124961507, 565848670, 445337482, 770393256, 931579153, 11610833, 467405358, 414485199, 876448045, 897080713, 771216500, 920775009, 819484460, 955077101, 694091063, 210805042, 729813229, 317290635, 562162239, 275812975, 957532434, 88348850, 300391336, 778587056, 68681967, 263627047, 194029181, 957921776, 376032848, 165222388, 673472835, 925358023, 783151335, 469760361, 741455933, 78073347, 331001193, 166190253, 239505676, 540621646, 780685540, 661411823, 62429992, 321639543, 941227315, 838225736, 308686485, 194115382, 492979850, 440127445, 268848647, 685371525, 350174059, 569350211, 147073260, 475617558, 577885054, 746703285, 606107851, 468736170, 345594965, 334166237, 721121062, 180308884, 168254578, 85490032, 586891010, 245153679, 501848714, 355485128, 129706123, 966700628, 755289411, 477792573, 51883673, 424960540, 910889461, 9695931, 989026658, 13759332, 398503737, 145731744, 356830852, 288727112, 106591525, 544777651, 830974685, 958081454, 92846971, 307716505, 1122365, 506198036, 222702619, 848566638, 704315534, 998119593, 375340888, 339529846, 469598872, 950299856, 297638170, 810432399, 396501749, 762651007, 251975889, 840855859, 602269450, 406064833, 258437677, 299089393, 98992356, 800427056, 113362473, 269931961, 87130824, 271746729, 43141142, 489233675, 462961641, 848803761, 431772135, 192484789, 289752689, 67362721, 464363464, 557660852, 50823445, 891575924, 546325975, 735431282, 390508346, 500717824, 839723784, 636085180, 427197642, 154411479, 875470076, 931215830, 63994856, 16899506, 997012016, 232689928, 897179920, 513793771, 311425315, 887003569, 679187508, 464242903, 52119742, 852496977, 102997921, 21956903, 811297887, 845808774, 835970030, 929595715, 625691394, 739437142, 901567416, 580172705, 35910292, 443428090, 66937583, 141754336, 387760784, 125820298, 762487296, 851797159, 268636259, 190732944, 152837131, 824281655, 883186091, 518705697, 40895700, 346123043, 225327740, 382318548, 507661992, 46307416, 210032917, 226375511, 318140275, 392574064, 200838021, 273466996, 109160709, 37303990, 19170283, 804642947, 34224680, 842518778, 379185682, 974288172, 522391639, 933345877, 742200908, 817227156, 680735934, 261457825, 72340153, 998228265, 440471203, 302386338, 606448452, 797470722, 138163875, 925201326, 267177551, 229744423, 812099836, 989741941, 171814608, 580356940, 537711440, 659448335, 927897073, 958512978, 201236064, 147553147, 77022046, 326823972, 829529292, 944457989, 717636033, 455738859, 380750578, 581606584, 390344570, 147964209, 336930463, 232195618, 696704609, 586970284, 445591096, 232615249, 670650903, 652245077, 919744701, 94779404, 408657952, 677980170, 450611637, 708318360, 951896001, 791125802, 190241256, 594946089, 573411353, 28281389, 891573419, 499017337, 779769593, 143818247, 210535452, 46597977, 75081417, 238287161, 764954573, 608978862, 866644590, 693742498, 880760441, 279565411, 301143691, 77417693, 827002622, 663146963, 346542562, 305129228, 842674699, 968860650, 569364830, 842324123, 672564954, 248526309, 235883487, 494366532, 736548032, 609558639, 183669090, 420768787, 517101427, 491494086, 862168791, 917819711, 95976372, 354177508, 267773922, 764338908, 614699510, 149336788, 845697621, 176409562, 621121373, 607335077, 395908920, 765421529, 310200836, 668501080, 945690112, 832374729, 950134304, 315767630, 137846269, 229036203, 571093119, 882236442, 417892739, 207182376, 348345362, 125791757, 347900298, 219511455, 649456346, 383288225, 581730659, 833016385, 667137693, 887539256, 558607846, 568329572, 467837252, 637772766, 70959129, 857560501, 475377314, 504640992, 765168677, 315428815, 812297758, 530935670, 583651825, 104216283, 304840761, 699441770, 453046142, 561839844, 690160073, 857750195, 493196532, 883742649, 683942490, 683977010, 131618398, 357117004, 106480792, 77372076, 326919194, 549861423, 834618987, 905821494, 353637235, 518163439, 187349396, 907580690, 402278904, 298189980, 93522494, 375607004, 186778280, 817451454, 61469590, 218089315, 221933657, 625433088, 103228171, 79394522, 203543741, 149899246, 678978840, 931771201, 720204355, 147526291, 870538013, 623792465, 908449376, 410412112, 389430817, 506263684, 544015517, 592988747, 305887041, 585706960, 15375188, 808478634, 430780510, 50020144, 654673863, 225516586, 238308610, 521417147, 24132553, 51477345, 878332896, 531133291, 419675209, 938460383, 697449252, 484488907, 771916424, 172638034, 86248041, 952090243, 7331047, 240898572, 355486707, 579380063, 327393828, 21649059, 840250798, 160490193, 9534382, 176724635, 220038298, 716012288, 360771567, 258603305, 453681382, 202258182, 751217713, 861587917, 878714956, 967653405, 385456855, 319205917, 130179888, 183291346, 188871693, 794921068, 177896855, 910931488, 233122524, 57036327, 919308611, 831518991, 70800999, 674140457, 454005360, 839196108, 348756059, 77410248, 144781812, 496822173, 742340833, 410547755, 432295600, 340696016, 383137870, 656652402, 366479878, 593777147, 799262747, 165752850, 373680804, 134879441, 909195480, 481487733, 870628466, 136289853, 622086716, 593855566, 44947374, 745125257, 701563402, 810394404, 191315688, 872059089, 9727702, 11357346, 654960664, 342918908, 144119586, 958133617, 847678102, 899058957, 908101698, 128144042, 790019702, 649700441, 898836906, 832403948, 264982871, 150473044, 165141087, 735105803, 525359968, 422953172, 231666363, 636695002, 616901869, 886705447, 828547271, 90687584, 992927470, 996542641, 225889349, 222587693, 698307677, 26140986, 784250216, 267233503, 60936214, 410743698, 449066409, 903325856, 322827976, 792800245, 881096689, 918297828, 542550835, 698614673, 451396308, 368997572, 979158492, 589721370, 440079381, 939945862, 293388177, 476175676, 989150567, 543950449, 769356492, 121842361, 538697859, 995490307, 427815317, 626509600, 275806743, 434144640, 262728736, 32190587, 854499567, 472762127, 963005240, 914738084, 287317604, 573638192, 421131499, 381157205, 230431737, 275458860, 150187491, 204953565, 304577882, 631267136, 187877068, 945933055, 477662364, 134988972, 907446580, 592200622, 311569364, 357738776, 998623491, 983082280, 968903061, 611072664, 205347207, 580654246, 835532914, 589687497, 909449096, 20935542, 457217198, 491698089, 202644816, 81077389, 846973073, 273357079, 207721218, 257001127, 958703733, 106043656, 538495542, 511145655, 962692982, 352127529, 93580435, 692376431, 668737940, 183941612, 49837630, 731315857, 197168843, 352144845, 506513021, 503970341, 224321945, 46322820, 963806490, 536977711, 612105759, 537965413, 38847259, 113237891, 512058976, 547417325, 743719640, 929095934, 131732406, 847518246, 937086742, 973674223, 601243405, 810918792, 813304598, 739884018, 49147964, 54945803, 125374840, 583267566, 764334094, 962367191, 708121561, 916580948, 247330993, 640680661, 94566748, 96817957, 233780747, 410653224, 864494569, 364301213, 83012652, 517205672, 426144724, 212009812, 718984621, 573491999, 864288807, 774435881, 418043501, 287830170, 122813150, 399080832, 561893134, 810433325, 624437637, 43683655, 920990410, 761588457, 5929915, 501999378, 837240346, 116915600, 470698717, 885786007, 749873332, 696670459, 197112293, 704696980, 428337317, 688353983, 181536967, 924343916, 18148356, 974079903, 981877249, 143865689, 254451039, 905101152, 743353007, 662270743, 54184521, 71484722, 686192837, 400502772, 431527031, 647327973, 903585676, 752160660, 303737394, 545602734, 978829849, 243036636, 921334221, 982753833, 452962424, 793957994, 130125913, 553293190, 114555372, 624677572, 810816862, 198197982, 474192133, 798324399, 237709423, 349588652, 279645383, 913382256, 71293937, 440776795, 992449482, 681254016, 247035043, 621853349, 237982138, 370190824, 565326974, 816124993, 991280932, 247745035, 389207750, 973675204, 142201632, 596953568, 409235322, 786971959, 567248154, 797398862, 748126685, 492029607, 869849088, 103832552, 982925401, 388236036, 700802252, 462722249, 295764793, 432156440, 87252336, 978404917, 279644149, 52128006, 233727008, 116818673, 21323443, 335148942, 340493116, 755880468, 236384079, 363304394, 159830449, 458480617, 483437198, 795262405, 261379825, 321947057, 659316571, 924108959, 207112692, 580339413, 685070536, 904497780, 817661563, 942928916, 518970302, 610943286, 388326967, 248039767, 606645385, 405797780, 218260718, 569245356, 838890325, 862448791, 420055193, 889929622, 312556153, 715530133, 157093240, 211748696, 870394365, 278754193, 57780127, 867919930, 725175898, 446198986, 482739813, 224731710, 326021778, 712239752, 874418387, 819849946, 349634452, 371363868, 15068087, 292631152, 46655874, 884191712, 808233795, 882686212, 880101290, 948485162, 436484433, 344867116, 919340761, 45964043, 494048203, 242916101, 898185085, 990289696, 895636314, 335728325, 639764796, 178451461, 387738245, 939112765, 405638860, 260160649, 334422926, 787792314, 734060715, 716446050, 387822203, 352728343, 707267841, 472565511, 646748158, 408502436, 402524172, 909809065, 337739192, 149433203, 629518512, 364350079, 906067810, 301316119, 22519887, 609076862, 329318412, 222903723, 192319192, 561612654, 657010639, 872713229, 259792888, 368383239, 469139659, 770838847, 527292355, 546492521, 249814918, 412359095, 418304604, 145124018, 184897588, 759362067, 424173623, 803811158, 438884343, 793227300, 911562664, 128773676, 88075407, 256080858, 337733147, 405375826, 952302343, 465453117, 637453413, 59522115, 953710956, 178223073, 509201999, 384796276, 340827312, 724033228, 648398647, 764749989, 7691524, 268883614, 726200738, 790363458, 163234576, 980932739, 485347221, 9501766, 884406147, 679921443, 246739651, 864324046, 601842621, 612545934, 744645769, 668811877, 687625126, 306131768, 649445217, 121694244, 466249364, 564974407, 865997, 638040307, 559768020, 306105440, 291987153, 978801326, 342907459, 372230598, 348626476, 294771142, 89609539, 410134279, 236854449, 384997951, 157190076, 54676408, 543322515, 379564305, 206424112, 218880549, 657175320, 90879541, 631032936, 868144783, 415867004, 577701991, 897638201, 861996781, 424167318, 246924552, 269515001, 339967367, 817477559, 195962604, 61088570, 459617793, 555383826, 161591582, 914620268, 719753943, 299952796, 721756184, 663735613, 767545275, 497076058, 995891990, 940544546, 642951002, 19187792, 539846558, 747738362, 304318150, 109603633, 328643822, 6334334, 454304234, 620333433, 958482083, 829335015, 543987775, 942221641, 65395104, 809243864, 32171646, 848375333, 52937571, 561600628, 713140960, 104705326, 840947407, 77380374, 421187709, 257725900, 630497594, 109155437, 13496256, 7027641, 847261075, 469542354, 482691327, 541271750, 643965167, 212614188, 740096501, 724492318, 951706084, 255081134, 997385736, 170225504, 195701050, 826798081, 897334106, 924983957, 531672707, 500622748, 193127076, 923378497, 489452936, 190324202, 885820526, 123951688, 572354792, 230851608, 454458933, 103945799, 19742192, 225004856, 754154749, 668052526, 447030515, 458330384, 204481567, 742389942, 475271841, 799303958, 967803038, 123797891, 937499720, 598346441, 934679920, 492158691, 560166987, 484065126, 251261078, 861848615, 927437178, 58879008, 365326610, 239587810, 969217903, 208273084, 889677732, 327784389, 476776332, 743915838, 893909537, 579898947, 436375113, 163303483, 351473046, 858210984, 975315604, 918199619, 322451666, 401522381, 328592514, 569206933, 681160030, 517443431, 647701337, 126973372, 365607183, 275640930, 603949359, 272137161, 137510109, 134932725, 729714695, 303929323, 714754886, 797200648, 773618260, 749945903, 346065709, 916592688, 848750809, 858966919, 746524649, 220689568, 379391878, 209067542, 586271650, 646667800, 674592007, 164279989, 925683817, 664992378, 587397964, 556434936, 984841000, 950674472, 817766443, 127469420, 170271031, 445905382, 24857217, 58497020, 858941753, 21622432, 739312450, 866449283, 696756995, 957443137, 359831477, 39971710, 276757105, 721984151, 805619895, 692758397, 703520476, 502005674, 830858704, 568269083, 240705675, 26528451, 562047714, 762514850, 224407111, 625974702, 57551794, 851179568, 442769118, 828423142, 126792011, 65476375, 737862463, 452679994, 804524025, 97871468, 772627534, 143168647, 681467550, 753035439, 178165489, 37360048, 141895120, 69731650, 387557439, 953699554, 365006433, 4503937, 117605657, 128785937, 764486238, 373121517, 366856764, 266018339, 12016910, 57727480, 949875823, 60109248, 937049558, 356253387, 655275280, 148809862, 770690965, 599682049, 959473274, 640470859, 96853455, 343031827, 938464324, 184510900, 396137157, 85852136, 818576117, 18251312, 745146817, 797642866, 959556096, 64472827, 295270067, 400169634, 610269567, 935059624, 178623337, 788406711, 779053261, 887261374, 842013365, 167741105, 186406966, 315749591, 666111826, 788478927, 544039460, 271477857, 780662713, 155344262, 758375995, 699862908, 581282717, 147218367, 716305014, 959760997, 926389988, 929140846, 392260406, 68564114, 15825844, 551604500, 264952869, 776423136, 727025160, 75302401, 298275570, 725561276, 111046068, 158784883, 455990605, 832648632, 192202949, 828447853, 126706611, 218106264, 872605949, 981107668, 788355609, 781408364, 215710836, 931500942, 777902065, 944123306, 761466686, 769152492, 625340031, 352697681, 146353908, 779967552, 555346655, 501672712, 700310870, 888767711, 304734439, 978808424, 839072937, 413472761, 821354395, 433881588, 557823424, 466618555, 628216666, 505991582, 304676025, 778786881, 606553737, 435243067, 230748972, 975558835, 274478523, 273993377, 381162478, 906447076, 874876543, 449969735, 975508495, 221438406, 678510554, 457659814, 348078205, 961096661, 386484980, 661822316, 849950842, 92610978, 988451749, 119981822, 442173268, 107755934, 664577333, 315719330, 584239568, 712964785, 100526588, 702342986, 536630276, 485135363, 426830120, 618965641, 243833435, 903227304, 680776349, 660440213, 592199426, 161167338, 882776716, 877711831, 217127295, 431054338, 322253183, 542353710, 788729975, 259116528, 414216552, 67096084, 803873586, 102400143, 844823147, 894421320, 514914512, 750703452, 355734805, 849089321, 206337560, 285208440, 980480103, 29617520, 720066038, 381188055, 494950789, 921521495, 773068380, 750932270, 260692880, 700345056, 621474986, 782054060, 218288008, 461612318, 406649063, 747050581, 183844806, 324438875, 487052918, 353976719, 532415919, 442308979, 623743307, 867511372, 114428454, 249870323, 978869848, 734637023, 821028611, 953570227, 403176789, 660798578, 659155050, 23398762, 458817254, 778699758, 533556307, 784276353, 104105705, 101949013, 62024764, 144794709, 57260185, 135650117, 306616028, 502850188, 920929728, 129182216, 531306083, 66315988, 508927804, 618669674, 995812656, 174302636, 44606659, 564933554, 712279812, 870487766, 468889845, 477207091, 374364754, 917457041, 193305922, 482477177, 460046275, 958480065, 924161715, 53591722, 686803660, 592435648, 334938437, 848928216, 860114560, 895465398, 388239620, 424655699, 405496470, 848272851, 59905340, 199838852, 306193026, 919210633, 43961359, 611583473, 885169439, 88403258, 650286809, 307424617, 286341211, 195467346, 696715099, 341904601, 936452287, 256546332, 621395517, 617004720, 156668623, 180086627, 617438043, 975296934, 203993633, 447743213, 954330356, 675295980, 151960512, 213292344, 862418574, 338012598, 499325895, 312526834, 128071257, 821086891, 840542934, 418114893, 385213295, 622400142, 506309419, 959054169, 941816955, 621327568, 225500220, 637699723, 191162819, 668110916, 820889868, 732556544, 159051300, 136828892, 112537982, 1049591, 226275921, 569103682, 631937958, 221578466, 792940384, 511107925, 94485838, 595070749, 4051397, 600148491, 974500342, 217343604, 742708990, 21287671, 718505937, 186820208, 844995109, 347071681, 967262711, 962649898, 880825407, 414576718, 402377796, 785932603, 871309443, 954355569, 984224236, 620816823, 60617627, 309980989, 466180849, 784383663, 824074745, 433464929, 762322753, 132380813, 293653208, 779334338, 380711669, 736277422, 520751184, 778899273, 435323494, 374886812, 802486854, 537043093, 198905466, 21874450, 299538696, 884026010, 730893542, 549421630, 911845655, 21152504, 668061596, 98145981, 456789519, 537043877, 384027312, 669336959, 155717032, 520203384, 811119976, 185775413, 707556582, 799094231, 79431578, 974708331, 260917224, 743201808, 574780871, 5437542, 237597653, 276254756, 289631444, 371812601, 103331403, 803140243, 381018792, 607726771, 224139194, 731267007, 637708238, 497652408, 658315640, 51634200, 130593890, 664242238, 602060321, 630844718, 353864997, 579353069, 100958297, 677081430, 279274768, 273432432, 778443025, 604093941, 241580638, 123730917, 464271532, 181067248, 604121535, 22599994, 754842329, 931573915, 218416559, 803372107, 859774763, 193105272, 764926510, 185821439, 891598028, 268046324, 875369656, 776429459, 613845821, 537186713, 724752047, 314656705, 493388312, 8905743, 602833968, 317692811, 747473099, 955896338, 294146083, 403868251, 915107609, 973038955, 362418666, 415354546, 815690291, 880179391, 186539843, 459769167, 247473741, 610701359, 831437228, 301347713, 191768750, 110338729, 909369128, 755811465, 264836516, 161390554, 667072699, 25813167, 94636033, 153191439, 138894764, 290790843, 944438890, 178643569, 733867365, 722419305, 540404350, 625423067, 220047260, 597117590, 210317285, 218923363, 596091985, 495879607, 838793463, 931495532, 150388087, 80243195, 567796458, 233306825, 836982172, 390360891, 509155105, 189817312, 648698670, 107729866, 688106166, 177214180, 816403263, 289510864, 483807502, 797552663, 615971149, 849654771, 366485819, 116456478, 558071273, 288813945, 276976725, 386736390, 606527089, 164856560, 632808075, 188015630, 464508152, 332711203, 887227350, 18839165, 535439306, 251897815, 989127341, 511527393, 666874554, 528822371, 923493584, 812481270, 888467761, 349320130, 641253874, 225338867, 669170361, 101434501, 835231909, 542424022, 582407262, 24999951, 649075563, 774735650, 398377246, 12444859, 254060160, 248832777, 799973175, 880318784, 121940336, 899314435, 996693628, 344609321, 450585720, 334158157, 914454248, 553638021, 175336613, 169342321, 406594046, 754739644, 719640390, 686926181, 12653286, 443331116, 951328723, 682068013, 344763484, 91563703, 132505775, 588088306, 39910723, 642605663, 336668320, 671166180, 194126121, 545792429, 427178670, 113603170, 788452941, 846221591, 366830206, 823282557, 416713030, 794552248, 655075304, 762714669, 664025349, 648690244, 447010650, 480311427, 814404251, 551314622, 652970459, 160818817, 602778793, 810757979, 981892289, 585355713, 291223659, 512020549, 783357923, 997942154, 428297153, 719113687, 354020740, 799818940, 711319465, 769221102, 333389329, 988537082, 535653376, 692061719, 916965284, 926271918, 455134176, 346554337, 150825737, 642110139, 813968234, 990079920, 309972914, 525666570, 597789529, 555873158, 361477517, 84750527, 53958534, 97004562, 129194641, 407863504, 421317610, 882816221, 311060780, 377498439, 528887312, 154987413, 728801668, 879930164, 152261073, 696851005, 797224722, 485830967, 206899034, 11096761, 544671870, 679066320, 728305965, 897208518, 61373589, 687793406, 342303329, 505587565, 465939166, 364388972, 994693045, 348979502, 317656066, 441605598, 691909307, 555700080, 589685958, 613943657, 121529867, 460592831, 773356650, 934048964, 448827760, 60533702, 424619305, 863919174, 566484608, 284281721, 516926078, 156977383, 612086608, 326466502, 861994200, 197325612, 307643621, 672737134, 721959868, 986586649, 51345927, 13845429, 813200704, 283897605, 641764882, 74808605, 636557748, 132251089, 999452299, 693022041, 828291602, 165397557, 643720680, 196265477, 710651969, 578424128, 705982219, 775725723, 113934936, 448194891, 317404991, 902347115, 355602135, 441996159, 117784421, 608223092, 42907799, 583903579, 98987109, 196196859, 688686805, 203778743, 617713405, 416882988, 690269196, 863160343, 489851548, 572206025, 751735062, 642024234, 831564942, 849060480, 143571670, 182367099, 686044101, 250974424, 997578209, 49936750, 701899265, 748501921, 663697102, 424516478, 253173287, 380219773, 874829943, 328857099, 8285295, 645860944, 601054489, 535816651, 490966589, 837717487, 739348292, 780090507, 741211562, 838968349, 490779681, 213074648, 534309005, 602571237, 680364669, 74048724, 652852467, 156110737, 396305226, 120520332, 573322189, 553152379, 460866485, 997855802, 915198829, 906335111, 972661162, 606172666, 103219447, 193012432, 566448223, 705351327, 579582611, 279387768, 956908241, 548837386, 960540956, 457195820, 61880891, 129822773, 890541033, 729212946, 40754628, 498962213, 518054458, 187940764, 974939618, 40003675, 379003324, 669598291, 828413076, 735721619, 68303580, 161112975, 962782957, 805641333, 761336413, 597615160, 246918620, 672546122, 541026720, 300682168, 282160339, 504023092, 819141190, 803916780, 185897413, 234570134, 586760222, 973680801, 891627255, 977399625, 701474008, 80010761, 223723702, 276498347, 427904166, 384264781, 435998967, 429361665, 189364543, 105078895, 968728656, 222634353, 568562898, 548943639, 780498355, 717133325, 415809469, 100938973, 362222048, 57846075, 343860192, 929811642, 715435242, 867758175, 317219671, 963108024, 930237044, 722607469, 646486903, 623859000, 923185547, 610007757, 237695957, 568169033, 686443366, 331100054, 482667617, 902446397, 471781358, 420369246, 63074917, 803586196, 276458524, 96401471, 613183697, 75405555, 816679253, 34033402, 823839212, 431906199, 976388635, 732890855, 984399007, 917231263, 870395574, 310782198, 31255985, 568809609, 659279120, 992192259, 570259363, 821312516, 446391583, 765023793, 440540219, 614113763, 797605388, 955129382, 771128241, 251331255, 459215269, 571153529, 845407564, 668809571, 391894495, 939989868, 794605374, 298588192, 342844815, 136471262, 611057424, 10567368, 853074887, 661334513, 361997341, 76642646, 326278249, 424623068, 310946525, 872621620, 345678837, 840443269, 251072177, 998820581, 74761154, 376172352, 165438335, 205372471, 947599248, 594933599, 323892786, 110732312, 934107551, 755117712, 684497106, 332373521, 966460779, 959572111, 376923176, 168339182, 157030501, 692569008, 356101832, 444559752, 701815442, 999471023, 83565487, 552090671, 231321574, 973431675, 106109794, 389400557, 978698842, 575607457, 333737342, 518132327, 421729486, 489038833, 800984012, 851467040, 289850681, 2682046, 768423857, 879851517, 378041509, 327844750, 371449108, 182527083, 535692937, 170519470, 213085981, 438011762, 146947965, 832195994, 757421902, 294421857, 146126972, 665235827, 332067741, 608291245, 71328629, 104646507, 908591538, 240888983, 449158073, 721236605, 213422194, 264741975, 12517408, 742671332, 45335208, 152731904, 541058897, 309049783, 31396934, 308027326, 446545631, 287434876, 894977433, 879788724, 134719042, 924012622, 183152278, 479093175, 142163347, 697879092, 226906144, 893587031, 182236184, 691837785, 646137529, 585729178, 655647302, 217892129, 372930950, 978137315, 34075700, 899703080, 388196861, 315124381, 326639639, 876783181, 736765908, 934713990, 56939417, 723242578, 664513107, 167427437, 715163748, 510395040, 363679724, 326906178, 403370801, 644422044, 796901191, 446619533, 891551502, 355243781, 639385994, 593289507, 216185604, 951084061, 845477582, 221726010, 542406670, 484382801, 352547884, 369977233, 978332185, 67723407, 181749415, 715553377, 369563763, 364179984, 62953923, 149875435, 729696288, 461254477, 142360306, 995619786, 128180158, 45633921, 711421157, 12087500, 38438450, 953855183, 269043835, 989531959, 197820113, 581648986, 580094700, 279163473, 20699517, 319853982, 170047027, 766433520, 600661870, 342345627, 555334845, 907320281, 612455656, 222629662, 324093245, 793628597, 401682571, 452110779, 839989854, 925348758, 612137187, 907251748, 945027389, 457695133, 698431960, 454882839, 920749327, 121987979, 145731689, 742812067, 901273200, 377318696, 445308584, 654769159, 971819270, 950650498, 841968317, 198460939, 907641004, 118688991, 663503198, 336998394, 906547676, 927912941, 104319635, 322877796, 701957861, 285566221, 296144828, 205096694, 769888362, 666307110, 821293422, 111440834, 572393343, 697502000, 49292291, 56557194, 421528945, 23557997, 790716518, 862547671, 12061898, 935935100, 165797170, 529281400, 389258416, 924981975, 134850389, 264415526, 780895323, 380762735, 414566725, 120808470, 250028124, 878314481, 280482046, 604790169, 35510675, 215776754, 87741477, 187611631, 531541918, 190986471, 244058796, 531056196, 931320782, 5046418, 435237574, 198775258, 493050179, 255357929, 8254578, 586374550, 64450647, 798861546, 30605413, 961788412, 452796185, 438925542, 797651112, 517067610, 375573359, 903626820, 332024983, 598418413, 721557877, 134648850, 142294315, 409380821, 71077676, 687771565, 238727977, 205906346, 251878111, 693286740, 477311361, 642216487, 204328101, 378809136, 135698332, 501293958, 999858669, 756195399, 951795192, 659802489, 573216290, 154277792, 378515086, 45234371, 986077772, 928260284, 286327693, 247705055, 972436019, 933803126, 225839632, 672394262, 59244389, 538566909, 342152601, 360604800, 244575393, 309412647, 58016929, 155510656, 904633120, 885103746, 636008381, 682853015, 131878307, 574863962, 381327427, 783937115, 3073240, 753915855, 120174123, 11183460, 448523721, 223318412, 696229110, 391337329, 879133223, 886459375, 43334606, 603398800, 169378545, 321119632, 563650026, 359960607, 478190633, 967812347, 670734819, 965697399, 322269337, 935879025, 309937574, 835476159, 140304554, 508818759, 235889315, 290880868, 424595930, 669385053, 606199577, 946151756, 486633141, 542869934, 194733517, 678230302, 590327166, 180338630, 967753599, 364867250, 653265840, 626306663, 653821258, 790569169, 370028191, 58053464, 623810120, 310582804, 812919829, 340760981, 929809532, 156593119, 775965862, 450304838, 940328811, 540297388, 566030216, 875008671, 424442756, 366130564, 215030325, 781192051, 470671711, 341480079, 832986314, 271651497, 971387220, 223225512, 109541483, 98779104, 750713318, 92378757, 6859113, 182333567, 611641187, 606452042, 649260738, 857763970, 670092824, 114256277, 397999546, 270182640, 696925856, 627795690, 612858430, 382057972, 141019923, 221673621, 943511467, 897913880, 799902534, 853670517, 276015049, 941057534, 323786935, 565205033, 73897872, 690051821, 272795635, 181133081, 761146177, 998152620, 894449856, 55662529, 680673704, 418409816, 282446005, 320970167, 828432036, 544727516, 656296779, 897085684, 415644642, 410794140, 683325877, 348548182, 606019032, 214287859, 956395855, 779859894, 950888846, 446009650, 578512862, 772122554, 155458250, 48323652, 48904626, 300741321, 941615327, 816132500, 97988138, 386453479, 971074259, 34129137, 74856043, 556175303, 183767995, 953938141, 140218999, 773623377, 705437697, 553277748, 304511793, 464777142, 307453946, 965946081, 628458057, 444393825, 83204046, 554215230, 495225563, 673740304, 343313388, 822283656, 382551260, 842139987, 154741685, 998692997, 431490745, 666332010, 70840739, 344435595, 503814180, 361648899, 69673624, 396106029, 919287027, 237443506, 129028322, 649632673, 643091982, 863778016, 714495174, 294974369, 369205787, 774236615, 959847610, 313259742, 328775789, 83149703, 677475830, 48346173, 303705428, 428390714, 852899250, 181280105, 275088947, 364313094, 170219768, 985825791, 609582807, 836674014, 331615886, 608846876, 487840278, 332385535, 982096843, 833680889, 167818654, 149659478, 395058685, 720131343, 891595156, 181078893, 710531531, 528985133, 541603490, 295430049, 793269684, 435422980, 192649970, 389608300, 332764541, 670598120, 375747337, 919545420, 120339623, 857125658, 366371305, 488435609, 745524541, 500710969, 372503141, 555409562, 416611128, 824166430, 5366239, 812407106, 389726338, 132835448, 657796922, 487766040, 301891684, 674541748, 907499268, 20493847, 512509414, 434051534, 97328622, 648713540, 748361958, 312096046, 460977171, 520157474, 823534440, 118902406, 352196258, 545719025, 685397487, 611547958, 579246881, 623986621, 801137817, 514798694, 870554525, 765031680, 887626602, 830417326, 327602502, 375943900, 391392680, 97070941, 924099829, 856027264, 466058750, 242723160, 958977794, 772178302, 578882834, 537868354, 11175285, 265160163, 216901078, 864082709, 411321312, 175156176, 916917424, 658900903, 983235257, 34835407, 636893629, 280803227, 721419129, 272461144, 302856333, 403501096, 288669606, 166571990, 916131185, 46162351, 430006993, 114653498, 288799765, 899578561, 275549129, 569652145, 324701836, 1875303, 482716120, 610301647, 627794615, 487597851, 717844277, 697810555, 788719125, 116402961, 738975643, 973484900, 536322670, 557256334, 908277164, 685673762, 906592163, 218820863, 826513311, 274694662, 315775122, 61354141, 35465867, 889797638, 750329664, 247359149, 532503412, 502564790, 350479125, 896668487, 414950330, 66456487, 911033631, 260714817, 181897186, 202561872, 659860146, 852560796, 214582526, 368642735, 298786189, 238348637, 114491395, 199581978, 919899234, 717936090, 357843640, 42839688, 616869572, 761002970, 249999570, 889837565, 41815749, 65547404, 866345401, 432242203, 387014628, 497578246, 224908865, 181826966, 995061775, 620398167, 560954585, 51454265, 415167881, 708656130, 787798616, 98440804, 8858604, 357618466, 79457452, 111361879, 970301626, 216452259, 629158998, 671704115, 171998451, 16400126, 182899640, 800823797, 126179484, 945175625, 752939346, 486262078, 579207771, 60233303, 934324250, 477164241, 704773734, 968726247, 231838489, 199168586, 371867382, 415458101, 950943820, 410206779, 407288493, 582075807, 721761189, 830502828, 399803303, 955096460, 152924116, 20220866, 161722301, 388201078, 411807067, 859342636, 987323727, 53031590, 805034595, 330356368, 575723296, 536743629, 543626306, 521729886, 206765919, 785991466, 580096849, 521515133, 434562047, 556307588, 939322682, 817297046, 794833872, 384556647, 4313793, 458235044, 455404722, 925745644, 628283037, 662188194, 507617991, 774944185, 828570107, 529834394, 42713807, 69430001, 716764644, 230940883, 236469759, 666626314, 664376059, 699738623, 547776724, 489613746, 974181104, 774946431, 682416961, 265235444, 797621309, 877510381, 772980288, 821331446, 669985597, 227736732, 707456213, 387789135, 921484511, 851853396, 192041143, 161882318, 303050777, 784432021, 322640723, 939681766, 429009550, 955890862, 468996983, 41882248, 897001964, 618987720, 918771425, 437932275, 959996704, 171013700, 543958350, 768017712, 648073123, 426704184, 292680221, 657338124, 53855757, 732369515, 823824844, 936723658, 243365791, 734170736, 268921794, 238745686, 718077499, 340336555, 193048826, 939051858, 401680815, 776495511, 37811560, 161162867, 71891779, 932714216, 484671645, 125311421, 366648980, 967835435, 594226713, 452726897, 397078953, 459942300, 645922101, 370982862, 178327433, 740961494, 247235985, 489273009, 640398526, 448972260, 300308494, 92979829, 730202887, 715176701, 442607006, 976015976, 21512421, 936079806, 557395777, 213111955, 154457733, 343863899, 369675646, 560377946, 821362058, 198441120, 34506, 219156442, 834328434, 413242828, 133264799, 782538136, 528807922, 262796359, 243445268, 752862591, 913668985, 723762954, 782149407, 105155413, 547863054, 597081252, 117111390, 48996982, 381258190, 240176444, 870447696, 71297629, 80494637, 337682441, 299450100, 641691928, 855818562, 580974128, 692534427, 258924276, 121369905, 645227762, 412094442, 652612758, 5609803, 683296288, 9128385, 228792651, 955482721, 732616446, 26817283, 578985578, 94866638, 634428239, 865265271, 934888072, 41188567, 889006559, 408000921, 130754530, 665767456, 99602089, 19951446, 615721558, 518219227, 628630694, 556925096, 903825149, 32830901, 295429912, 164155610, 85515511, 329495171, 653717766, 867037956, 868811889, 503736078, 143056487, 815541232, 580572643, 851302550, 167949182, 706801509, 978664598, 974272189, 59904777, 192789922, 222206199, 22694988, 224897925, 808194159, 597868072, 978640002, 153235535, 433571529, 919356097, 217312416, 797795321, 846811650, 291409879, 247848910, 824317636, 559318742, 841447317, 211146269, 969170505, 868378846, 774870779, 745335720, 464643032, 819072204, 605020134, 151522012, 18157212, 602221834, 981629953, 856875383, 902025912, 893420676, 774686948, 20074112, 996679551, 756325216, 266057955, 35550994, 413361283, 868158324, 516666393, 638902791, 574967182, 497235205, 607280129, 559452937, 484464601, 753525929, 195090415, 860429825, 760935235, 279313873, 98758199, 184961688, 966458707, 786786025, 638471228, 255114608, 401817915, 677990793, 38968704, 576806925, 717117419, 714212758, 625281086, 994805658, 362286692, 545667352, 897088601, 281752189, 700771217, 190549203, 7709977, 364917112, 61467411, 508754408, 665606228, 734674823, 459278667, 41869865, 536351162, 126761771, 640637941, 790410062, 132693434, 559226521, 355658466, 383098232, 648955790, 210894114, 221663872, 204857886, 519399668, 574824314, 748532394, 933844992, 628084076, 82310208, 166091775, 876796838, 796421679, 267193022, 338431147, 502521184, 685215617, 981566971, 131052398, 752685943, 12151326, 91367253, 282218295, 886922080, 642362925, 482556015, 588730177, 638788591, 126886894, 51055613, 916571218, 997565145, 171128135, 22776854, 855461297, 425920701, 488000072, 697492469, 157943966, 150884971, 625030658, 282464407, 230756062, 657468927, 544656639, 880543587, 117783684, 199314509, 460609045, 200266911, 652160962, 326050354, 863783819, 355880856, 475342627, 510934703, 272076972, 266881173, 892110553, 953125345, 189666092, 718093968, 441402075, 800280757, 47727750, 129587245, 603995551, 883782484, 603853440, 877371209, 374237467, 76189334, 211029409, 9961218, 171974100, 569244796, 776646544, 323590865, 935751798, 367183785, 918666532, 998371396, 109672162, 597171037, 837895739, 242141100, 997673183, 965715293, 530946749, 162122103, 597710444, 406211400, 546903222, 47482574, 39854599, 99056203, 659394165, 825356380, 655099454, 537486204, 984678319, 229129836, 314970894, 379519867, 376500377, 2734131, 878291775, 102364497, 263014209, 488443588, 899838615, 791732369, 645638, 496098463, 889467075, 379407716, 104010431, 391792954, 215478045, 687761543, 85469326, 712878761, 585737540, 974802858, 54681702, 256988701, 65391111, 29581851, 397966530, 419820542, 365301768, 144512771, 31330663, 118580966, 431017042, 519379876, 25468884, 887632435, 942010027, 360869422, 712750589, 942730832, 914935629, 584981030, 342202287, 908759822, 631383359, 598502981, 445720045, 872305194, 125975331, 740894874, 334000455, 545945098, 498712720, 874886883, 689524010, 101384559, 495440000, 295956827, 285220180, 379111771, 609119657, 485366008, 913694104, 6432647, 240833940, 906361622, 125676768, 541222654, 190913386, 446198045, 276352106, 213930628, 661712241, 500850579, 454283711, 218360594, 845910646, 990919068, 958509152, 977598256, 899741200, 380851268, 332875603, 862190244, 332127660, 228506317, 824721350, 869994422, 38469217, 619595089, 231146114, 846278251, 651334560, 61745902, 56293196, 991703862, 610698607, 881959700, 152650584, 167470984, 857517335, 863802000, 208389484, 918737362, 401613108, 96543939, 881675548, 662898596, 35887940, 536427009, 366700501, 560039213, 346010475, 534359799, 74814220, 136016333, 268982872, 95334056, 626238233, 49234339, 836191625, 85270267, 825533730, 925050071, 749139021, 464862952, 270579900, 162481514, 892564544, 352538413, 299769746, 995493562, 982483625, 763203857, 489391816, 977136474, 855206923, 351333533, 457457881, 796144834, 844933990, 406817045, 896154628, 291828623, 124626303, 704072722, 599689686, 734986801, 759298696, 855274637, 415553743, 352432042, 427832384, 204482402, 842370057, 488266181, 886074269, 331485916, 610402842, 8421782, 71550749, 569732184, 35676466, 613015975, 520021951, 36176070, 426375791, 747246671, 111335976, 235226998, 582869707, 453629810, 896572081, 558690138, 942263581, 740790959, 818087652, 168892693, 538441898, 958126894, 788138033, 38021837, 441176021, 880699442, 761410910, 936187203, 772309929, 513914449, 513480770, 721530727, 610093628, 242397651, 817941805, 182630312, 888991455, 248107655, 663223443, 712124787, 513013991, 624095893, 815061418, 73159208, 7706082, 458674921, 500371387, 91210508, 910997570, 105670515, 412184099, 724827775, 40120972, 493126822, 203011614, 206582178, 654042240, 705567112, 150357478, 715583359, 765707640, 552964791, 701221243, 915881294, 541505490, 807417232, 591418788, 579270824, 337013027, 613955636, 814770055, 924822373, 909985974, 453455575, 646477281, 226216681, 486050987, 422293017, 2249929, 129700608, 820773188, 636288786, 793032226, 401804190, 463272559, 284209808, 174349244, 485476502, 647638917, 445659117, 39294662, 62982554, 546329507, 196545713, 820684327, 415666712, 12249220, 898148911, 629233639, 997687652, 461568211, 646654681, 998438709, 977879928, 37310730, 273179882, 399953671, 237759036, 244963347, 854280601, 787136656, 980394210, 23062030, 886804023, 864803764, 349111759, 519202482, 549464397, 56722991, 453402899, 125513623, 716910249, 117439089, 270029520, 122788977, 94455493, 163429700, 154922960, 864303749, 293158627, 768681042, 233764689, 183718324, 795839253, 459690398, 275094600, 440051788, 568962983, 120363596, 89404401, 187287076, 88369214, 328044304, 502859655, 267418462, 240136666, 782909165, 149409029, 282180906, 530898266, 868359677, 709223248, 808410597, 774348475, 450494921, 927491094, 411277643, 602833832, 217165643, 303926428, 304662933, 549316418, 822047953, 346794017, 520120478, 76006874, 905245409, 770998174, 605183283, 792757634, 252390568, 309752560, 965092876, 856878629, 614044968, 107255787, 578932079, 571331886, 605442081, 128133446, 986102879, 941024347, 737840706, 355266618, 98982465, 94443997, 591165911, 896903334, 874782891, 192301980, 465197894, 794089596, 575000556, 715467954, 136376098, 377554186, 437570472, 421285140, 614055916, 954097559, 88385723, 477946493, 85359008, 896532414, 952143562, 913743321, 273051884, 953117319, 919127750, 918338193, 346368672, 261637799, 12596175, 170457798, 489629174, 528571099, 284337232, 681775278, 220942216, 211048164, 805863378, 186661080, 797773280, 318386637, 590491752, 490544201, 311863015, 85111644, 295091475, 563474663, 620007717, 123619539, 540403427, 292892020, 59767959, 941823564, 898534721, 74972849, 515111087, 816363688, 600576606, 847267705, 453583633, 829859999, 780557216, 216727741, 991680065, 918096425, 924070845, 833442320, 266973080, 887494457, 767028792, 466673730, 568004457, 511541280, 985467994, 817292247, 204892736, 575542004, 634750167, 331309678, 484660623, 722752126, 391890763, 922823327, 898025275, 298680979, 416516937, 288331737, 748340664, 509638944, 296185364, 29219003, 723934617, 541857361, 203566719, 862937809, 696788190, 49247855, 126150316, 60983205, 440754328, 742981627, 989933843, 27821279, 308529813, 22914275, 258302594, 18178707, 46853544, 1181600, 768387399, 438212715, 774310024, 444080274, 646124814, 395132897, 100417574, 962192128, 131728146, 627940101, 100366944, 713129566, 944764075, 200464964, 739103068, 344038735, 610047213, 701287369, 903568819, 313323950, 535662853, 279796379, 218517822, 949794360, 64927840, 463231251, 120137716, 288956921, 237661404, 89242909, 970629087, 842440273, 605066822, 499578419, 61069518, 313895898, 659824381, 164728630, 873955089, 311709085, 515420883, 906278198, 82099986, 967713274, 96205998, 239512011, 879725606, 809077756, 489521574, 846049429, 363473544, 777174350, 246160151, 487499869, 259953945, 172500635, 225959881, 450616805, 510264962, 207179545, 612838384, 663371547, 148192277, 211154407, 518692749, 124545033, 394652816, 721547392, 641818392, 990393905, 111377185, 304108744, 45567288, 514587986, 400166681, 165707015, 820190354, 181085374, 959845105, 111795513, 55678706, 618398555, 497253187, 45605536, 364338780, 369678872, 893684258, 975705028, 970586365, 602606639, 372671867, 207379626, 952709935, 599063284, 420356329, 714415327, 341353508, 831055033, 490265677, 79577520, 300133658, 937419701, 678745740, 258711607, 775393918, 432615263, 667803563, 256225563, 177407930, 849159109, 624943823, 37472777, 270044765, 724591624, 726191123, 849506690, 935924777, 406132317, 986681876, 176621041, 932324674, 583610771, 267871840, 608945874, 186939818, 220488045, 410620497, 221505836, 556039966, 490254916, 672246921, 769135886, 187750095, 664164235, 943931876, 158434042, 461413139, 562886231, 807362089, 802883597, 197797504, 754795957, 681166908, 884331161, 497297232, 514101013, 19322175, 618283278, 558780138, 667202655, 65377942, 849399315, 40393723, 489340549, 693415998, 562519129, 161726220, 773776585, 701416678, 739674570, 64561871, 91123456, 852167389, 932450825, 297818200, 234475595, 821273069, 483728185, 884861754, 866964731, 436244389, 872705141, 820325921, 970490340, 881285243, 337883382, 89925735, 235514996, 325386555, 770610348, 368011347, 803772330, 248352060, 693070213, 472077851, 444392557, 991054122, 486047932, 303724307, 537152416, 259943100, 141803930, 819595337, 689813006, 778198819, 763911657, 247551929, 690613519, 101664425, 131360888, 453607478, 735828635, 662575524, 688398363, 90559166, 340150542, 423196080, 540467296, 537374017, 892928785, 835033107, 552876757, 286926525, 986107223, 752993896, 958448042, 327233717, 359112570, 385653584, 842972739, 776501979, 18104642, 160385060, 707684580, 633479551, 67647524, 547488471, 589035811, 419848852, 478759389, 369346904, 561922552, 698500351, 524461787, 459046739, 910468843, 126400015, 565659092, 82037722, 915088525, 297880940, 206209059, 908484388, 604230379, 829556181, 542662522, 898987860, 40191259, 875142109, 503522286, 254296255, 241146149, 325665955, 763910334, 695862180, 968203137, 234479287, 330483900, 575071469, 374891109, 784108199, 192597152, 242290024, 601888980, 525169690, 726352551, 201179018, 870462828, 936907288, 848868950, 830854190, 463397249, 581121361, 141406375, 732944368, 490901336, 594182774, 802922057, 384112211, 781662447, 119997329, 793669815, 691726768, 607969807, 677060760, 576438860, 611011946, 110471899, 149864250, 913709964, 486517694, 649017642, 358235726, 296900258, 58532591, 941723000, 965696822, 577728411, 401414047, 598575634, 647856539, 663140925, 449481097, 674923258, 137271464, 775919799, 258411214, 68203322, 282347964, 850585522, 903101584, 24959103, 443352448, 354729085, 832648433, 49374045, 392330518, 728211710, 182413330, 391995757, 607346067, 909800732, 478672832, 434573454, 719637033, 411108495, 820428871, 260350919, 182098678, 228610241, 351157864, 403841297, 908651127, 882803715, 374526239, 118672016, 165760893, 789651238, 382962814, 562232793, 961628604, 272915418, 689530712, 920570127, 842264975, 841065907, 860757110, 128034092, 850669852, 110794576, 665084646, 509703692, 610034547, 360972453, 553445413, 930918931, 159171900, 990901982, 78771224, 59472441, 635811739, 790071984, 397940865, 876092650, 423444629, 732311259, 549091488, 108137908, 202921774, 218700159, 832642487, 43269794, 989270889, 718241021, 127615937, 139926887, 935896405, 758234537, 475788598, 169263000, 49125704, 822146801, 573644950, 442597256, 996214571, 481894304, 374077415, 623323621, 362558940, 401759374, 418054881, 587485421, 230255758, 660706953, 810336583, 667831603, 931978600, 839607241, 161679446, 240035108, 467731865, 154486255, 723315568, 839235424, 256785806, 760536420, 33803110, 192506274, 223852875, 529360529, 206869251, 350132520, 903639860, 63806530, 409749151, 688602556, 479620684, 938268852, 381587169, 507117108, 463262022, 502838094, 644466975, 40696189, 694765527, 809916929, 760161269, 887322913, 593890842, 653153090, 412592034, 871467547, 264486814, 733605727, 141949967, 337464542, 645501081, 7469689, 214384560, 14857835, 791017096, 712899065, 361363806, 485761894, 286782314, 746609125, 191219081, 690667356, 997138745, 220786241, 144322973, 260185340, 637952964, 605025724, 309778930, 13612529, 786919891, 959154690, 211367212, 603927587, 925642117, 655734357, 379418304, 140705590, 239318807, 896725833, 105895411, 719657099, 817538231, 917510260, 404297148, 342052778, 99664271, 822021542, 782911485, 829578635, 422622994, 578844163, 307718594, 653604290, 166447569, 480186123, 974800839, 409370970, 177258110, 928780280, 825678675, 120704749, 216253185, 30491126, 55686430, 479215743, 556126272, 738595021, 392320548, 997526018, 641049948, 855362851, 402165421, 462633546, 810801052, 154113816, 204693370, 254084657, 355234513, 48936676, 771162480, 815287425, 897224087, 242009197, 264266675, 266762272, 884191042, 809316125, 977005006, 319113355, 254841611, 101670946, 713132421, 21246347, 232202734, 70743067, 982900630, 734903269, 22044505, 118370918, 712458797, 775278861, 287891339, 656435065, 248856919, 945780412, 242980157, 653925562, 85295515, 947724693, 151862345, 339381788, 823930155, 45928557, 158809012, 261864433, 362868655, 739157771, 842202781, 719264690, 389711557, 714680331, 575180873, 970681591, 296536976, 946873692, 439135465, 535258906, 830036044, 529299606, 179030099, 676325812, 442233167, 816326706, 227571041, 508588381, 425677642, 272859900, 584090990, 823425104, 108251378, 35393044, 735722675, 569572330, 739034846, 95104518, 105118590, 437624092, 204320639, 367619462, 944055750, 412014079, 468590898, 642203243, 47685103, 544226928, 247611971, 827425988, 39325017, 47129994, 181201063, 994586033, 678618108, 18784887, 725061901, 585550591, 396029350, 828659323, 786058547, 392560770, 957717608, 235435921, 748618747, 189711292, 338101916, 100719775, 657928019, 475025317, 805615630, 365767506, 341040255, 986081292, 795686026, 68277830, 395511826, 987690332, 78908092, 487531130, 625279746, 610700210, 423266215, 799687667, 341748849, 936751914, 290839247, 622046678, 464751879, 599515445, 495133455, 798346341, 757045399, 859131350, 993345629, 240725577, 780633092, 968090404, 860885912, 19009871, 391226710, 670973103, 455031558, 656217305, 48738498, 72880752, 642260823, 548860366, 287783201, 566879307, 543191896, 384897831, 417313809, 258715830, 640126796, 127346623, 353599786, 938831811, 567460640, 681661720, 98197160, 623462160, 48437687, 471022373, 199813687, 232987646, 916538808, 531204109, 935396801, 580113697, 482815540, 692068381, 642488182, 69405993, 750708940, 842755980, 845214576, 873852497, 168757503, 860251831, 522563157, 382948208, 415713204, 706469291, 316985248, 984415103, 523964364, 405108730, 773419332, 424291106, 966122190, 73107447, 506033893, 183709106, 727847417, 47276338, 959965002, 19965223, 720702698, 771834989, 254639884, 595399353, 852876697, 771143866, 623947516, 136997554, 586911350, 851776564, 122321397, 763743599, 418844540, 297680258, 845502205, 107682133, 529169112, 639274253, 746587956, 348641702, 251128694, 547209084, 764967630, 444478026, 803548347, 23627958, 856688354, 754096726, 543161213, 823216755, 670381491, 370449452, 803622136, 45059433, 32145521, 717768310, 58022780, 451709279, 981572435, 601655762, 891376419, 94312122, 23912700, 95353728, 763806128, 952495681, 156244243, 756914609, 784411323, 202556518, 930716174, 599549141, 60218300, 826104829, 567497533, 934877174, 81722768, 755972125, 115555925, 648536099, 152070397, 244363421, 486061823, 230120970, 127886833, 365350643, 549997145, 735738218, 255680375, 897335901, 183403863, 470446547, 252325426, 314332986, 347184720, 664566840, 893330177, 606302725, 753082855, 218215186, 639747578, 817303649, 499015416, 147330720, 745274416, 642375564, 837273276, 122690822, 930972614, 602319664, 469276322, 577570739, 411801223, 967935435, 146393507, 878916051, 349593077, 793158028, 324923405, 211115344, 151534611, 430924690, 856988523, 258076135, 937598403, 990156049, 916673953, 483518424, 572121392, 894334823, 286799694, 523577995, 359688573, 215536287, 686118986, 743266133, 886877951, 366292601, 139208573, 775558351, 92126077, 986434048, 891985650, 59739281, 969829945, 214449121, 514230747, 511348609, 440592635, 911754332, 774118431, 122004988, 370262905, 368187860, 864426303, 901595776, 668153402, 989047088, 81246797, 32911116, 373469823, 706784043, 249110056, 201298110, 703710721, 530330347, 840358924, 958024002, 980752409, 490099940, 666811916, 565845466, 200254654, 125832463, 935820946, 438399248, 91439031, 186188725, 191319221, 976606608, 410408730, 942747938, 454473085, 430072132, 662135949, 617869325, 651217295, 933156436, 658762357, 917232243, 927062377, 680088339, 757343473, 365886413, 548201019, 127801987, 568122934, 540983911, 804933115, 384455726, 17338388, 691014662, 214552631, 610110290, 69501234, 451976583, 380976407, 35939840, 250989993, 103049635, 389515567, 462267674, 753288958, 826252515, 105362110, 575316855, 109794507, 604229891, 757746884, 598508197, 697259255, 955333566, 330353071, 692393726, 106123547, 276740439, 167003472, 441232952, 792650645, 780924630, 672708920, 839513530, 650685767, 130983002, 681975328, 438720531, 290197336, 474530415, 737942224, 597568975, 870904524, 507667504, 144116508, 238581339, 709628106, 361077135, 218375510, 990008569, 302542060, 954910460, 434734411, 988861394, 827841299, 753323071, 677753895, 384890391, 970249243, 5684819, 708639748, 337604621, 125925772, 396670209, 449015229, 132038103, 947309122, 744990831, 64637697, 598832879, 989374093, 20413771, 604756376, 384773853, 386810965, 671114203, 634961462, 925857820, 705282643, 367295840, 145048421, 922701027, 773769150, 782971635, 394815901, 989225040, 433751793, 569908864, 538455747, 193148691, 927572728, 957743304, 108240065, 557297364, 360043940, 249106095, 642362712, 214312667, 191487936, 38547548, 360282552, 17429904, 310057773, 605860315, 726410925, 695098802, 616775376, 543232182, 377137399, 141226165, 53260744, 780338309, 578842027, 713326978, 77467968, 960283102, 876528311, 441552188, 741525263, 769981392, 889301557, 812228436, 690823698, 282610301, 254694533, 782885110, 388383827, 309471821, 99753629, 284247671, 494463472, 224883599, 802500841, 887938160, 490928788, 499969063, 190236327, 596161321, 417001798, 142815922, 199300343, 586735204, 870638977, 970706279, 887457098, 111295247, 607983706, 291753137, 944817366, 773720300, 874265397, 103225335, 128827561, 400185926, 866960681, 44854643, 211403946, 807234475, 873716485, 477614456, 264899306, 440517955, 48261538, 589417879, 800553288, 831181592, 367165316, 29623233, 406643420, 669231402, 405149396, 652412997, 585769236, 752757523, 360882866, 845555393, 186870187, 280271358, 397698736, 128266231, 586244705, 325048709, 957490036, 122290529, 450522778, 896021616, 275148968, 685886191, 505704380, 632326401, 252493045, 945058381, 413983162, 471961021, 357644870, 498938314, 910493505, 886575651, 564352957, 234898223, 409310563, 818932703, 282785851, 922365628, 737463988, 303161415, 994451345, 701615247, 219467063, 437452354, 719199569, 362864980, 412183023, 596851534, 677895891, 226651995, 789764509, 99841359, 475282377, 715041439, 101858926, 451723557, 492845000, 2166975, 813278644, 693973776, 521258661, 979428849, 934799725, 916892106, 851988654, 167492310, 569646609, 868960030, 41739645, 357973448, 295853823, 140714904, 194119932, 337048597, 702603568, 847346661, 190601064, 895948384, 224754313, 418518109, 981323382, 294133830, 823055632, 397991890, 473378307, 141285948, 662992452, 776754892, 491509130, 305737653, 194880251, 121002434, 522628237, 153352241, 720358249, 997079372, 254823732, 650841617, 99254067, 459373534, 772873472, 133016237, 219850174, 578290976, 492649613, 326644546, 962777530, 67243532, 85986572, 87432079, 726596102, 785075685, 458522359, 514131633, 375719348, 314487505, 707919398, 27580423, 737831494, 326487232, 525522642, 330489361, 908216916, 469829244, 481168589, 705523539, 256955957, 309656987, 545627025, 272688538, 752133894, 950370264, 45274638, 451098207, 231840706, 306491635, 231113409, 662935757, 640416520, 237535951, 174785989, 758206336, 347644252, 679446179, 264929886, 642501607, 481506808, 23628327, 291058712, 965651629, 381486673, 537097824, 653853466, 451198902, 230377753, 668301496, 484356968, 792015416, 111012448, 408169278, 63596556, 107102101, 627592637, 255924270, 511224702, 782691457, 695259502, 570538058, 732283482, 376559037, 439100794, 244754188, 366143769, 273609987, 808720975, 546582334, 171726757, 938391125, 510178963, 633535554, 112063058, 747936247, 842498857, 317974426, 510561752, 602927847, 101710097, 98103696, 896871344, 626853136, 126861317, 260231362, 447838536, 159020861, 913919612, 987123586, 635289087, 295129770, 305075231, 26034737, 720721231, 599981870, 221055431, 979274326, 79333886, 869096114, 64033632, 672899128, 599528099, 340536125, 689804090, 460497644, 735875311, 576947850, 943540289, 752972354, 236827714, 218216776, 244219430, 705902770, 571093803, 938062929, 382707828, 820036499, 92782111, 497537599, 894225719, 303397587, 558605160, 369869866, 765610672, 443709139, 857158018, 947508188, 291686865, 467030699, 31015130, 794279782, 405061695, 480931716, 297701664, 163692644, 342985892, 300296577, 848125193, 654382843, 808441574, 136289184, 610873916, 230813514, 785289089, 744103329, 885736185, 28725594, 452032754, 848604758, 102073606, 70721971, 19915687, 687136575, 342804379, 42543961, 31286285, 223555178, 420747102, 379786045, 920855836, 313202611, 18377964, 73684697, 356929887, 372468589, 406254831, 454869336, 338069504, 839453092, 154374131, 382595668, 615277528, 449200167, 172179251, 932394564, 486737149, 910995648, 760406051, 317613840, 378756404, 879091127, 471459472, 748085312, 643842048, 523306433, 176188907, 650354849, 558328308, 737466983, 791329084, 204695618, 104505729, 403184523, 903389597, 648730985, 887060191, 432332860, 558280435, 69016767, 585454077, 724802053, 82251088, 45176456, 116675008, 571452786, 799486636, 606786982, 693218173, 440841410, 316674092, 559993008, 41949608, 674400728, 576134381, 404055, 948208242, 708003350, 733379843, 144527083, 888027410, 36573046, 921658007, 337334541, 704716332, 712934801, 2522857, 523664660, 90014517, 268020981, 104525049, 893929243, 275187217, 742868157, 607907918, 637418360, 384163361, 317845440, 602252030, 459836554, 854416392, 851359783, 823238506, 549419303, 853269269, 149040665, 639799639, 105424291, 793340468, 282070837, 572988240, 206921319, 154715583, 497347343, 999519643, 900382675, 311851245, 245450255, 292151001, 351679806, 799603146, 628787348, 709419854, 533389507, 802467313, 504470345, 913870765, 647938342, 45169572, 895849819, 674715257, 290710924, 325258085, 419963892, 897159023, 10990781, 82876539, 339382711, 818856883, 429953787, 169996708, 72080095, 435899831, 741103484, 227356989, 156202729, 17183776, 34979049, 172124953, 340397706, 680204742, 49946617, 8011724, 708845945, 933467452, 301594747, 440212655, 40817878, 632116323, 683301047, 807548900, 864483003, 748489626, 805723851, 656106740, 99752686, 856007981, 755996147, 141830441, 830530808, 624438628, 772907788, 325117489, 389619189, 705284174, 612187903, 584236953, 508007121, 796435536, 705397227, 708594272, 325652721, 662764479, 246032990, 862301868, 301042074, 243158307, 867032762, 450888990, 964791661, 754951159, 277626968, 615687604, 80862322, 245823757, 343602704, 603127999, 630115357, 717417695, 256170944, 123071375, 406490467, 230272589, 232198310, 859698761, 138602054, 783991443, 875267231, 83026773, 270787831, 75774537, 875224130, 373515860, 77222769, 493121215, 847973589, 11209392, 784349637, 767457874, 78833256, 813808043, 561213476, 429116535, 740704613, 408742240, 299997149, 435832160, 49384177, 687243078, 4384091, 438529485, 828095959, 329871776, 607950099, 695544568, 992808469, 251001709, 708236617, 492251900, 442925319, 644358982, 44148031, 247979419, 92484033, 681928931, 680886851, 415912796, 44055720, 833119044, 158747245, 25480472, 469224755, 497240394, 551187804, 273751205, 643077600, 543929101, 623380891, 780030365, 974048774, 928823495, 308448423, 689618012, 621367339, 70637342, 270603778, 392547249, 671685485, 207647401, 21607672, 291069924, 438543253, 797111052, 499539165, 261036675, 250200038, 838071762, 529331969, 972122144, 580033986, 908436991, 797121198, 238163852, 110591097, 121967193, 376116549, 274971006, 391727812, 252651749, 60434757, 185486505, 50860680, 663436575, 41102657, 458105948, 799080781, 382589208, 314091254, 121719478, 628975036, 790768771, 826037713, 876229467, 445292083, 210887206, 356495831, 631293250, 46123180, 609420104, 278475717, 504092265, 727510433, 176355198, 705659826, 802013595, 820197990, 404654358, 642786776, 162184238, 777786288, 905294343, 775672267, 879239397, 373149308, 315734589, 104440724, 701606228, 582270552, 608110397, 173634336, 960255415, 327433118, 370732942, 762722271, 427647859, 569472466, 283807003, 930488838, 559390974, 967663392, 737811157, 539408866, 776459186, 376239893, 551813004, 609345322, 985179427, 907303663, 84166670, 736138237, 889898749, 48903588, 584294251, 885111789, 134578711, 589806123, 864300999, 672111861, 37308795, 264749797, 155553334, 789890106, 206464786, 498824406, 45292882, 543586362, 23111975, 97589842, 671828284, 938782300, 955081193, 340822410, 693885699, 142028179, 920221727, 254968262, 918789436, 739012902, 349521477, 53748016, 591340856, 239340983, 667141767, 429528615, 738297419, 917484744, 531408885, 818776919, 960876273, 396194713, 849702589, 174839824, 744548742, 313861534, 395539227, 609715350, 653206975, 504542977, 283496079, 491969452, 887004486, 105081723, 597144148, 562285567, 480877337, 207117735, 662493644, 649091684, 682121569, 659149336, 175503568, 41013771, 52129876, 52348975, 363812286, 267015946, 681184317, 758879628, 325183387, 227435647, 857471701, 362852366, 161955169, 283617403, 490768186, 967845661, 285971419, 820054818, 503172439, 113698268, 208907799, 810313643, 847456117, 862867730, 37075664, 818157003, 806746852, 175512043, 666730756, 833627386, 904404394, 611248305, 745947057, 85015202, 502214058, 861204689, 485797971, 834782231, 768966580, 609810874, 521080950, 880403609, 384313664, 843387991, 612910822, 533588344, 105825443, 863463124, 765289790, 408785591, 346042897, 12358587, 461183998, 753506697, 887134747, 496348893, 498091137, 571721651, 117701818, 49844886, 325786316, 145227287, 185152998, 444377333, 743387319, 23598812, 184089140, 745582081, 135118766, 154437566, 774611889, 184306226, 726179989, 341936528, 248011673, 221682549, 877462276, 597284376, 478931799, 43369296, 902576186, 611271323, 957563795, 213364790, 53368366, 97174409, 320263551, 260229394, 836680380, 241621445, 217522716, 394501857, 381363812, 283000415, 143737778, 330648288, 654933135, 257305515, 693656634, 917881343, 784413065, 588672967, 905381306, 775407169, 739193188, 322905563, 618964454, 877178564, 621695931, 897858011, 127839387, 482784945, 16572907, 487919072, 777134208, 552619539, 382175892, 19493128, 522767261, 960881694, 967742380, 539028190, 870548520, 598435939, 54351692, 990777000, 437952549, 840796778, 694904142, 216145925, 553071997, 842695799, 97768516, 589094987, 853502363, 100667121, 938606349, 759768539, 387799415, 97214460, 24248698, 790215702, 153996352, 119252649, 612799535, 824420911, 513107973, 725245478, 546892775, 584522909, 92497998, 715783402, 417474019, 353699900, 766825378, 945920282, 632619099, 675471469, 940857695, 230261485, 378528472, 383348566, 305446729, 297386747, 196498616, 608691503, 585723253, 482947574, 525017957, 691080297, 670794190, 858145109, 809279246, 484650754, 591387379, 892477640, 356032981, 866433982, 235328601, 737335130, 219381516, 718682830, 60103923, 889128318, 145973358, 887686949, 704106232, 878622576, 680562966, 79516404, 593254471, 326900718, 189082138, 658639198, 601255862, 608809690, 448800764, 11724012, 837092363, 432437012, 374273318, 688903639, 525804373, 283961805, 843875344, 782400563, 864008783, 301629771, 607454029, 282986136, 45920261, 899546986, 297032154, 6912796, 979167533, 475097465, 937451797, 125713876, 538119832, 873128806, 452588330, 370825489, 149611359, 314756633, 8398491, 254868235, 572775570, 996349238, 569608058, 706318843, 543769463, 850233190, 162350709, 674481942, 759459431, 174462100, 557087410, 58512597, 174296901, 54515225, 71556271, 258734859, 548717131, 381100319, 493977755, 207356410, 81500998, 919509850, 212114777, 913109189, 126278254, 759002256, 275842805, 213320237, 107813161, 506024041, 851933931, 725398313, 704168038, 805668407, 599805192, 351463481, 804510709, 941345439, 790166216, 493731917, 459213772, 391189370, 843376511, 629473754, 841854732, 286761104, 559612250, 212418184, 957758202, 156658017, 268317902, 124163347, 698289395, 436078967, 851879484, 447556999, 83259312, 281933639, 31187891, 235910184, 172690310, 847791196, 691379664, 92800505, 53016921, 29746960, 338443780, 22456268, 421817763, 809478877, 535165823, 487346864, 779321078, 505854227, 349759444, 433616276, 181253312, 803370010, 169153989, 282601956, 141257391, 892158977, 429989619, 825147758, 971553040, 282134473, 453021392, 885037209, 134912014, 692429766, 113410785, 473233928, 464675207, 47534149, 70734482, 737662291, 481124844, 551217445, 616008506, 100122990, 721769405, 691284265, 853772779, 975778472, 214649634, 593818420, 554092464, 210950919, 698997899, 115928686, 160390065, 71596716, 652323235, 513339192, 172958392, 464459299, 185842488, 142177054, 478842331, 110858208, 134647629, 272510105, 556276982, 146085149, 526679189, 235719701, 226847887, 194058178, 746849360, 721898324, 60811440, 40615298, 612443947, 233708202, 213680704, 346288400, 747039320, 319044145, 604332110, 732021534, 861550211, 462472984, 543828202, 278247713, 621501754, 278090641, 685390911, 800473795, 830144128, 721821478, 494313462, 391976390, 7173523, 110824724, 948590544, 324212058, 387626925, 861391644, 754081804, 345419736, 162289342, 86109943, 258164023, 996354442, 199276435, 862338377, 524616182, 599218991, 88938028, 743517149, 672866298, 270272014, 326471893, 813535241, 934142546, 297697304, 409689507, 937017538, 569737856, 355780668, 879902397, 765660723, 348383864, 516463855, 247914318, 333844480, 269729178, 564675546, 627631600, 133791894, 60755664, 611697056, 290133135, 573445125, 589946443, 872673521, 219916579, 456854681, 789039330, 429092439, 646434057, 668518001, 10937245, 160405731, 180012470, 598619325, 519581691, 363523769, 158109056, 207494427, 985665834, 834243623, 983202443, 808338842, 598913887, 976431821, 885255663, 108691957, 980828211, 74185735, 848795170, 565924072, 629648361, 70783224, 674110258, 74358952, 152233492, 179170933, 808400529, 578025834, 943260480, 579442288, 351330544, 425311539, 179808968, 896771630, 762254134, 495737215, 398492531, 499477743, 525513910, 810516833, 737171599, 74752115, 842623089, 307885224, 428729611, 545888221, 77407565, 69415259, 557294058, 868551885, 993067860, 896415517, 57972040, 561797372, 200333210, 904190495, 549302048, 119126849, 427629364, 471664697, 497156612, 24296570, 75946211, 849677520, 860810589, 908428168, 525029521, 735625041, 578978267, 811771023, 579917607, 954080424, 412813823, 737680765, 527177891, 914445723, 643388250, 159299791, 679345276, 791997022, 730614808, 485627880, 325502018, 573062178, 672150235, 376304105, 584128985, 917570636, 261546228, 408480084, 46358528, 115117350, 187535659, 715739839, 332078783, 593342800, 252353648, 531097239, 414186668, 891161331, 558373908, 561855611, 845295532, 6316040, 291701316, 901379703, 828582306, 720209545, 79107397, 296088096, 483194275, 180508274, 406952080, 639018830, 733113234, 904228276, 691355328, 673339898, 914527569, 695166827, 3816349, 770694018, 734759094, 163994995, 192337995, 721681280, 483913311, 250856529, 418847552, 212162196, 87237301, 195837122, 328571029, 773433530, 428522240, 616141613, 734316023, 105072750, 680745019, 265871652, 631658452, 686417134, 177682363, 685488967, 531113859, 922995144, 965181673, 608170056, 869024884, 824419652, 392282305, 940686188, 526587485, 235458504, 160933232, 51580412, 35575758, 490303896, 254355096, 525773066, 921048315, 712832360, 334505179, 329620100, 432072335, 383099690, 473847573, 578158208, 469070344, 631393928, 864174709, 906315813, 10788287, 159121436, 371849297, 464341150, 625241053, 563540180, 523243802, 857899935, 100026964, 252847571, 945230609, 120158396, 447042312, 436983733, 950158974, 634513264, 291473157, 243881935, 416064983, 121663128, 736369686, 3769328, 687586243, 525070099, 227811750, 336887800, 262663057, 450912147, 762569664, 688448558, 4628367, 696715116, 349188994, 110007614, 996748738, 743210552, 638017310, 439018035, 497239409, 851871343, 444237036, 501523212, 707242605, 624789503, 834255844, 7126632, 257598434, 246850940, 612162437, 747043433, 448390861, 113539348, 600172262, 625390642, 281631168, 199356398, 642524835, 258019146, 227300853, 984274217, 782006858, 942203118, 579736194, 129984026, 837598262, 404425172, 909031864, 191497961, 827510193, 858455992, 189768090, 742322120, 386641069, 329005621, 420617220, 702790111, 118872101, 406727902, 222088077, 473307130, 55406329, 27691310, 82325313, 157791701, 249943865, 992337343, 863081199, 492886357, 681918016, 911670858, 809263489, 487751862, 534878067, 288067650, 346972149, 175265425, 808196067, 42406932, 695460002, 440056295, 431953962, 38183121, 65190340, 287765315, 30604626, 392675824, 932846531, 399433170, 407322180, 666298966, 32554354, 168641863, 632656270, 159791528, 477666050, 962457243, 759126769, 119939630, 44351372, 210597155, 128494651, 931275808, 121953080, 766076752, 155982247, 907365777, 491198093, 525365194, 916254510, 335054252, 138365367, 937945497, 274596570, 425558746, 347836456, 638307245, 533885578, 972625099, 39685450, 530667808, 911001381, 271052482, 968352361, 598019645, 43642255, 521135435, 707298977, 859993637, 265514260, 847463229, 231925467, 772786586, 623502738, 466408526, 774990036, 129296767, 833968434, 537432659, 102464075, 564823078, 680012123, 779981351, 203723073, 943839262, 519370468, 613992695, 405592179, 116340051, 574863179, 546257975, 63468759, 423652964, 163329819, 753971185, 650731504, 996396173, 939121029, 770222730, 112591318, 713432706, 342859609, 636683328, 842457100, 14021592, 352968369, 932864533, 892766190, 299335490, 702155493, 82841521, 183204872, 440273288, 335901725, 470051453, 948267758, 318616954, 725885801, 76859135, 101628880, 765710033, 684868829, 712449424, 667242817, 94552586, 795766640, 91940227, 54418542, 273931469, 309723452, 375754328, 799170023, 501698542, 315015633, 537801538, 757189963, 853881968, 897017669, 196615295, 534861318, 106389736, 718998581, 611714365, 904041700, 799661019, 966348098, 401292971, 980888482, 175824291, 223479260, 962118327, 392203957, 127417118, 288418232, 546401622, 996868301, 562300226, 991402546, 742009768, 36767249, 821612983, 265739884, 384696154, 48891940, 455962226, 443783802, 728867599, 10095249, 507334214, 509801023, 705132618, 236300162, 864028460, 476059183, 848428949, 35982421, 965861402, 878279488, 70596602, 86815460, 238541983, 46961426, 100464921, 976866629, 642506529, 279616350, 998903194, 305244051, 630784654, 867524799, 170526416, 977407347, 749463560, 38084527, 518773580, 460612607, 817786109, 936319767, 673220449, 609221992, 865079470, 171433892, 669191800, 211603867, 663116654, 999273639, 929672093, 131762178, 613401666, 789800358, 401908722, 54255536, 34560471, 119263689, 425874436, 945081261, 35873952, 909941608, 347228688, 230612028, 638076120, 515295819, 327409888, 736437763, 549098880, 445747192, 418807447, 257794257, 878523094, 541287191, 967352308, 255283358, 358801617, 522151781, 565274623, 290902875, 372709602, 493298875, 109385233, 952913731, 603831637, 670380995, 806800607, 68571489, 780770785, 726329432, 516401002, 165849277, 233391426, 292840490, 381311395, 353369564, 675521631, 599616297, 736689682, 365519267, 898799691, 760250760, 795851446, 833871245, 752277787, 959186820, 775860367, 475752568, 302459576, 117045483, 416102140, 824591904, 867775236, 52956427, 373884037, 423242200, 567321419, 313328000, 934580930, 654867007, 436632476, 92021094, 164642298, 102014581, 933203769, 754429367, 372544102, 466696789, 702291404, 155863081, 836886447, 644106600, 333633272, 761598659, 720050467, 550244460, 216885869, 624578872, 343263773, 168854767, 772260600, 597504336, 403080340, 459368466, 461901929, 794572037, 983664865, 4057379, 989966079, 254261077, 82690265, 563001546, 28911735, 199144539, 40869398, 981004148, 446682628, 724413502, 352958680, 744784922, 454043969, 191599319, 175768726, 765264539, 3925237, 615634561, 193424375, 771935061, 711892240, 939792186, 243813944, 527931236, 657285341, 932333263, 314742552, 578521227, 352974173, 18085082, 233802439, 518708161, 979646476, 530290526, 83041982, 833192602, 137576951, 935136871, 873372417, 551159602, 122463484, 4341497, 996303693, 372572415, 656004490, 119537687, 41641065, 350292260, 493115049, 361511341, 765412789, 911050708, 264839251, 690587174, 103565736, 968380703, 331428429, 174991259, 949310699, 932753337, 605669478, 594219539, 319260426, 740255418, 81950411, 890824304, 113386023, 576529450, 489047925, 691489322, 863987909, 707723378, 27112281, 628814540, 104842599, 500526791, 307309053, 922123657, 810636226, 229061119, 526746442, 415478649, 80239290, 863923379, 194457923, 217517579, 619061424, 868634092, 577626927, 45265084, 794267698, 502287183, 176733243, 502438758, 159516694, 548608509, 196788244, 415897541, 708433212, 162018527, 464819957, 174098056, 955301889, 935664650, 199746973, 769963647, 525502545, 398668584, 9218509, 971535488, 99584261, 256746459, 508305833, 438750502, 603948309, 919807388, 128912291, 498288687, 968342968, 121035762, 745286926, 710935477, 79679422, 524293774, 123729832, 422697631, 261276848, 253841041, 309135623, 452919499, 41811494, 233219624, 20223165, 629006202, 745583557, 884368054, 291918081, 601814462, 460803541, 978441030, 170503193, 295351330, 422635781, 260494030, 417525062, 60536903, 371299284, 340480496, 781466813, 76510776, 46546742, 733733670, 262087025, 349847603, 590423206, 414545176, 890745434, 527411748, 337041644, 898262451, 495130089, 359121069, 353015554, 296493571, 230557031, 449034758, 648215754, 204156957, 264311014, 296334123, 847585896, 629171037, 358034349, 203821851, 482016470, 194381078, 493403776, 125554173, 46390993, 512628804, 228256397, 607004923, 80226066, 221278746, 750748668, 85924285, 283377316, 37473446, 327817747, 106674531, 135077686, 63217376, 239891855, 823356139, 347600299, 369126735, 975209004, 171433685, 319517514, 923486442, 767064477, 718291992, 454233021, 636164746, 345177170, 815435047, 731494040, 843694769, 640106843, 41591141, 983924130, 447662779, 27092306, 67169282, 265760011, 835798179, 743041835, 611637272, 887016696, 641405148, 35675823, 237744407, 745074730, 200463973, 833581229, 355728542, 39123526, 149028641, 234875319, 387173352, 895749604, 814788523, 210355037, 363947989, 443761360, 472370666, 478564141, 730384361, 647356637, 989903326, 582094538, 498649877, 71875237, 782901929, 733383197, 530275334, 775835115, 311515935, 245093653, 842035022, 204239763, 22174473, 566834824, 844939493, 605035353, 537761315, 778659614, 537743220, 390063554, 944670870, 878565892, 99687812, 927863435, 752816451, 452823621, 915038714, 446512533, 842310454, 903096919, 466425477, 250047936, 688456200, 532347039, 652660436, 603941862, 812722475, 549727771, 15786745, 272127664, 979370792, 682891972, 728105840, 854125001, 600129051, 10331715, 59409923, 581429288, 583611725, 371748517, 568553927, 908487984, 355324523, 68072551, 299195705, 380879615, 679315317, 883627137, 89553953, 599384066, 776575181, 370513333, 505107996, 20572507, 396093717, 613166162, 905031008, 315625874, 899734776, 454418845, 58321121, 602211995, 766923736, 758492467, 368044209, 268718515, 307360163, 192143484, 440675214, 467852455, 960094046, 351890143, 507040312, 303892592, 642468909, 142724388, 779263327, 269813598, 203864842, 443259033, 719928829, 13070916, 887803280, 648738928, 38442351, 18056085, 764507855, 454941657, 96811258, 898079213, 313473354, 960991979, 419250202, 585542821, 586881150, 958985189, 394191870, 149438499, 772006898, 427370268, 345149571, 870643900, 930332589, 756891947, 28754927, 621135895, 484508477, 541327780, 519580603, 499914409, 610274982, 950030942, 602536822, 706440685, 426090942, 540497362, 531869112, 996069874, 425960553, 281740021, 83899295, 247815322, 946921608, 97687138, 386780143, 118160523, 529125516, 908160725, 348588266, 676490661, 511431867, 303305348, 382356143, 483470661, 895681368, 123080045, 351918674, 684011347, 505847104, 697153811, 225602918, 240470423, 476046247, 153492705, 296387589, 404097720, 292121792, 977170833, 526660637, 765201409, 654554711, 138249835, 423578070, 514731049, 431047176, 704734380, 187558851, 370287949, 491750490, 411644500, 490129719, 925859723, 271063943, 709424567, 866970026, 711217242, 371158443, 237795603, 730524316, 906031427, 163106605, 464466243, 256440722, 196886769, 629532448, 504293455, 165248371, 856149194, 584390319, 736127201, 350761782, 473042740, 913280883, 210578495, 991425615, 187676304, 525233913, 646656085, 468156220, 376445566, 112932796, 748497917, 379974251, 937076985, 4909653, 488227465, 861647274, 929670095, 990652178, 86856787, 670081706, 229112668, 517041026, 339607981, 622604955, 254841916, 198378661, 958630846, 492411426, 550996027, 231154955, 587066293, 172908103, 875132441, 557888164, 906106935, 845758800, 404111692, 289637106, 300101932, 947019926, 135390204, 436256302, 658033357, 942491646, 712555021, 532242765, 884985685, 875174960, 758825030, 628441476, 925241405, 613786864, 122628256, 610761646, 664430542, 439971509, 392482598, 144951317, 571374301, 314573796, 579931864, 851789455, 411634616, 908982533, 461200419, 240643835, 808903357, 837787827, 539853611, 42616001, 353988703, 283499217, 918626521, 126728980, 769292482, 786911002, 93828073, 403281233, 718442793, 692156526, 237941648, 138093772, 460749549, 567213650, 496536933, 324658137, 864444015, 209165697, 571892881, 187865917, 371452938, 547233437, 493686688, 154238910, 918918592, 735947319, 245785118, 640259933, 79363770, 709530353, 989827623, 464519247, 943242857, 835442140, 81453145, 441102770, 94699523, 303346450, 242274604, 759385008, 904910085, 872540679, 552453620, 286702537, 941611597, 75060412, 265995329, 266227753, 158374793, 269048152, 489974795, 513575009, 999713968, 490336385, 876123465, 579632558, 83323967, 203559439, 184217297, 641710810, 878387641, 543202786, 455913687, 301318527, 968166193, 300382113, 333762290, 906201380, 456250921, 603509149, 791465289, 918456404, 766985092, 294139690, 599088715, 577573713, 514527630, 656664860, 956190436, 208569033, 942715845, 200706399, 722445973, 923585583, 368645890, 803063028, 111967099, 75695510, 889255487, 168514512, 383866556, 155471769, 237670055, 165318783, 688524379, 204519362, 222908245, 971948400, 373727407, 673308319, 134604770, 823224812, 161822869, 200663478, 105316173, 171870471, 852045416, 884258310, 266593738, 226725818, 743709552, 631774544, 921562720, 538231753, 768962330, 207496912, 373077754, 880228867, 873050330, 466433961, 438553245, 915841866, 760552962, 225281074, 27529020, 693312850, 839109679, 958350342, 342487233, 548088560, 610954913, 359520741, 87075868, 570831510, 340574184, 856276264, 746866729, 67933913, 497739002, 26335037, 506016657, 548380973, 471437599, 908631907, 175742945, 280255865, 785941865, 327621547, 667603184, 87452398, 214409986, 484637179, 505606777, 727410232, 636294309, 634157847, 617886388, 784277442, 85466339, 622372471, 603272619, 798410605, 989975983, 360754011, 347407408, 873569660, 43634003, 345404360, 604268245, 76702331, 700733022, 150541702, 203513139, 970632124, 351592609, 290900536, 349718430, 880311251, 872916816, 816335848, 668930997, 763988493, 871107171, 563064741, 517166814, 661039857, 119171380, 265480037, 378625288, 638866540, 184207684, 573346540, 546671655, 56031535, 514043381, 840941612, 892438260, 755622598, 182139956, 783306183, 492284061, 63274319, 7926962, 809231560, 801334235, 488947670, 450278218, 978722699, 922671516, 984745152, 514026765, 181012354, 225410175, 732818274, 69722472, 828295833, 634286590, 65872778, 873369673, 48129716, 104908707, 840578058, 169548563, 492731162, 45141742, 212797839, 249037453, 841494862, 734323085, 388947744, 926247227, 672230083, 202253312, 734512334, 937839148, 44998267, 967918328, 559897216, 997177046, 843623712, 399070130, 599433687, 826381085, 336608287, 629036902, 31099415, 933513378, 4934745, 790571729, 894115248, 677697394, 427808533, 516959296, 233397560, 278949672, 138215745, 133224401, 339557464, 392851981, 958545895, 188127147, 883823816, 229863256, 23053409, 714437179, 330021152, 712380201, 287968403, 814912800, 386802800, 897491745, 660077647, 951663377, 879571817, 439781095, 921210178, 886119612, 67164456, 784011224, 212766174, 37201767, 537563014, 440204513, 986053838, 266379086, 867431146, 460798750, 350539260, 570044678, 528864368, 191756566, 630191530, 340752075, 252622474, 272078954, 237254537, 612324001, 225048548, 96977464, 210580168, 515005199, 431228832, 91923590, 971589655, 706427483, 722659013, 453836675, 412376649, 445524448, 972290945, 327567124, 990097132, 37691263, 100401635, 936512, 636715025, 250671703, 454832179, 102252214, 495009359, 262527606, 686127808, 806945143, 918281428, 1937382, 217673237, 695892254, 22644504, 336304466, 112128314, 728563748, 26135337, 138614967, 563519808, 631776298, 360925592, 424696571, 817761203, 46630863, 155149446, 245206972, 20950501, 89489060, 702380621, 847616536, 229039039, 800550766, 78883343, 792038578, 973953566, 440233285, 692143966, 383258972, 433511746, 395440755, 614642547, 643363425, 725085226, 198670356, 902937414, 59026491, 607011128, 482232497, 269972303, 70396363, 591704886, 21148294, 22298632, 848503446, 925818257, 118195236, 685415597, 86405832, 614748586, 332890885, 113252253, 923809363, 435867370, 856670932, 644304096, 136421262, 102952008, 727731544, 368072995, 387323524, 278365288, 600373243, 159935401, 845077073, 408449083, 541726886, 562242409, 199132305, 455811323, 25301183, 741157721, 678896684, 762751791, 581888883, 795479019, 441530627, 201583834, 73429213, 631784532, 284747476, 907867960, 975473785, 674248957, 594621978, 710664221, 871301114, 618294828, 823602214, 896759037, 455548845, 127296308, 564446903, 425337669, 678243336, 237252642, 140082609, 54139153, 546568938, 862658423, 692954268, 586106678, 347089342, 684119481, 882293096, 727622415, 584225511, 837872151, 927812401, 891020394, 459098313, 524229988, 400618593, 144233708, 126665186, 363617713, 714757815, 234359306, 90483192, 35696734, 748412828, 976610672, 920023435, 334790411, 415613634, 157769988, 801962517, 342275829, 775080169, 141978694, 347443114, 496900560, 404302005, 402702646, 343813894, 387209951, 228924156, 86075543, 906861978, 876974887, 469502628, 340179167, 154015765, 229157248, 521977653, 875389899, 831090087, 239030902, 258473485, 587239921, 334458327, 223893230, 97450404, 56998536, 764507851, 860064895, 834148940, 165676687, 301660165, 457546086, 53832583, 483941609, 459130099, 750333246, 949324772, 629360906, 884290308, 40405607, 868914170, 905159240, 804155778, 176128048, 383352783, 562393403, 121624317, 437718967, 95844153, 326500952, 651919745, 121327219, 884634167, 413839324, 302678474, 635755824, 922535625, 397520240, 423569913, 809083146, 916931293, 223671042, 2794666, 397755994, 409982219, 259104695, 37760881, 587011035, 145232683, 51604967, 414047939, 49542484, 313082584, 905333331, 884527093, 131031450, 928697422, 591308967, 827004998, 400057520, 43890898, 376902173, 301771275, 529224486, 695228203, 897721803, 898696058, 644890253, 497317092, 345730700, 454564480, 281742474, 894500055, 92175688, 43045005, 662881108, 508640736, 425205834, 90452847, 74616279, 877738613, 587899024, 428739640, 215350779, 635264513, 173775820, 500378634, 542058542, 228168117, 643034785, 892880631, 496078095, 914164796, 546195608, 651878884, 648464723, 782956563, 676768581, 881479866, 164176703, 923044456, 71948078, 448759692, 844253965, 479054454, 474753258, 850058609, 24095156, 202596846, 957576989, 347226699, 346930691, 599649689, 920132705, 109781658, 40769138, 551160772, 820516839, 437063445, 808349729, 402696401, 730630132, 487661126, 231124935, 446348675, 142082403, 730588311, 475029523, 833398491, 99590595, 979378615, 645768777, 646557073, 900367743, 315090817, 845582723, 517748882, 281730889, 641806300, 983547271, 109829654, 699123544, 815225780, 720042682, 405125323, 596324522, 279499534, 667442300, 107332738, 117010288, 536656135, 682270372, 34714294, 15742184, 876395419, 142010477, 38560363, 387042106, 926796126, 94593624, 570446864, 623955457, 202120514, 126330987, 156757609, 103806189, 354899247, 218660243, 665763216, 78760319, 386445739, 719773885, 43793660, 747518209, 450503706, 972821426, 539259066, 681996465, 754771468, 334841423, 567434863, 456320627, 545910245, 584109691, 694096215, 620682995, 232964030, 738544627, 111419497, 17906087, 765004868, 232917506, 830993728, 558021573, 492769428, 863702439, 454066520, 757348476, 199072255, 339192021, 718136422, 437434207, 918245104, 405788820, 394301058, 307939839, 191730197, 625294713, 933474132, 421750618, 424620957, 338532255, 193804647, 843036624, 573038740, 901675969, 989224916, 233216035, 53438174, 221059372, 541921148, 503920213, 471125637, 941962632, 705247663, 875854223, 513504807, 767781266, 876613442, 772908801, 135351830, 291849992, 954992564, 723576619, 709831262, 259739509, 546879126, 397241756, 207788674, 834729661, 269076168, 593795400, 933289167, 418196570, 597971877, 628384165, 251737696, 788124250, 2335914, 264477564, 222370379, 335071141, 802601388, 867104769, 799030972, 781989467, 208396929, 768867985, 636528999, 727357960, 346945477, 194701687, 394560219, 484201767, 804853772, 492666546, 204365868, 592213147, 356026062, 394301059, 733623693, 722229719, 974946426, 494005262, 368846711, 547047810, 879104872, 523996169, 106500022, 303914597, 522424651, 508719380, 762412219, 564392489, 721800195, 907297204, 695285600, 374191002, 902713892, 512611751, 49675175, 306705382, 252032090, 684724536, 677716117, 294025346, 997967009, 30234313, 382293882, 826323950, 988528049, 625041847, 53895882, 175104222, 133514554, 526997743, 524755768, 722169337, 37207707, 937626844, 456099622, 770216424, 284876396, 670644090, 634900580, 584552344, 451665824, 368398947, 740074413, 413343590, 526968585, 450318381, 277139380, 20941984, 770816362, 255343869, 373165782, 145818863, 275104646, 428606131, 795721881, 586733817, 553053855, 968270805, 756357406, 222591940, 26828780, 967161859, 742206025, 888148994, 201919302, 254509846, 782091762, 775852971, 617524911, 738387033, 144328247, 310344336, 376249511, 439064374, 365510027, 240779857, 493885253, 338385792, 90885509, 213704418, 562619320, 345059960, 39363953, 337464602, 137736661, 62294997, 796338349, 783259487, 268172090, 290734960, 143651321, 291506499, 119930614, 425298874, 405783720, 827397006, 280952798, 365035644, 537840609, 311960932, 938824288, 841547782, 859014334, 761384436, 703197146, 221802491, 377957155, 66091001, 778816542, 919671958, 752073260, 980728796, 598718777, 362565611, 964268049, 876951153, 688235140, 302875359, 121267261, 103640614, 324005035, 880662808, 696756323, 975840643, 681498581, 718557961, 235742343, 17836141, 530417653, 48023601, 573004009, 182996295, 676654268, 938998913, 853271609, 240328543, 154068467, 625325511, 982037638, 528407320, 794644800, 932133309, 818251209, 922570652, 110122252, 506729464, 422418736, 887075016, 541789378, 19598471, 28360264, 709482803, 746686321, 892286685, 696173058, 500027068, 950457256, 587589132, 681444394, 404526178, 719010178, 984311833, 642038848, 101706727, 525973741, 632787463, 944979537, 178196185, 572131630, 863073323, 738251877, 115457634, 55035144, 105635409, 633812981, 656649089, 15936499, 11764072, 812418475, 981306642, 127142534, 665847441, 919675024, 688816819, 683099687, 432479604, 322494186, 225519854, 67031268, 917579847, 37125386, 101332221, 397665918, 909446297, 755406689, 681879361, 245934828, 634684099, 718610527, 561914191, 932093150, 18252049, 450053499, 878075419, 736573702, 533681523, 88186267, 934301659, 782777655, 886082942, 318556859, 725255679, 559021758, 44254996, 443968864, 675378593, 119447476, 21778450, 291854800, 882426567, 64731038, 375988624, 888352300, 871509704, 133846522, 146970922, 634663994, 822806115, 158227124, 375187455, 984859529, 774463145, 588537622, 526454312, 950248876, 227531909, 816263788, 827840468, 264432596, 429123826, 224415281, 838920005, 299288453, 429522787, 130794148, 953593532, 559551852, 55504780, 260286399, 59695547, 958332469, 543475979, 619470908, 837122160, 432665505, 456330220, 3993715, 624013139, 921429973, 51941239, 805297163, 927463953, 98110645, 280038537, 43664565, 461653845, 543300141, 535644895, 920949048, 503023840, 53889871, 697771441, 506746123, 657516508, 367443102, 360288383, 113581120, 570458998, 341916474, 539998638, 951965255, 846205799, 513162712, 960786918, 1403718, 373625420, 537150204, 111953309, 429163815, 276846758, 341840341, 172741054, 161961803, 61499338, 559615058, 314125942, 969107135, 351351396, 553010481, 778222437, 936929235, 566995818, 427594028, 169947163, 141980999, 872033571, 597607478, 196238449, 816878194, 117884101, 608223089, 771070624, 926273280, 347851497, 31606965, 481687037, 628154135, 154581106, 458551971, 574450600, 542158409, 813656444, 619470733, 624828617, 274549618, 455065242, 571417540, 756752086, 975910662, 621143958, 935287245, 977888139, 680735467, 323187071, 773962868, 133170808, 292443269, 165920123, 314820551, 526721682, 490561586, 520207019, 667753385, 678032735, 596898214, 679881912, 870065454, 446203249, 42705698, 898997407, 206214847, 111091594, 655186413, 281007908, 437535178, 826093615, 52997574, 44753042, 269524530, 96831467, 926656379, 959875347, 444704887, 619955520, 762123407, 687606069, 301661627, 798550580, 206199633, 879519311, 975551740, 345925943, 378011151, 960631807, 729061636, 786870405, 730285790, 330266753, 546651459, 206271894, 781844774, 326229517, 894446699, 325275959, 847402202, 221423494, 821124326, 944018947, 904667253, 908009565, 669396625, 63718657, 975087820, 574112412, 962912827, 70440558, 644829217, 460548471, 193209974, 948558255, 721635220, 97274013, 975075433, 608971439, 435196126, 888753099, 541563251, 969093351, 282374456, 204746408, 842005405, 116795232, 20728703, 456840653, 522456381, 406362678, 885578300, 41364683, 320079166, 733875620, 806517175, 190002189, 562996823, 764198564, 740627659, 725571110, 992623962, 192364969, 278218030, 59010330, 943960310, 512629039, 523078483, 56668074, 58483753, 101624464, 507757720, 847039159, 31629425, 746497240, 774106000, 555615961, 955513388, 453532928, 293122993, 277206415, 493598825, 368637474, 231922950, 675055480, 579136062, 370489035, 41252706, 450128966, 953246486, 732683653, 314292831, 988546792, 596553883, 254601372, 981380413, 571542903, 851463642, 32588950, 422610867, 28900343, 192069687, 303938463, 831602207, 539658790, 353305377, 473853215, 913985564, 152380552, 308130873, 25307299, 693998345, 366464099, 391695752, 532557572, 138713648, 556152737, 790656973, 710109186, 364206053, 674664849, 822085163, 382676409, 620595709, 354861218, 694864931, 280550408, 847900532, 132213121, 745258609, 350385438, 519316917, 11207901, 38665677, 553023093, 980560883, 635096069, 32652272, 549077206, 644370442, 973749829, 630676841, 397353578, 452826387, 750803558, 178315979, 731116338, 969079800, 760809597, 162631423, 272998632, 351723328, 554435729, 380201621, 580246504, 265069862, 237464448, 767698644, 991809432, 986810904, 705889622, 676138971, 770453089, 878494727, 285526528, 879134073, 26844358, 502906871, 227958094, 599530430, 342729222, 1331210, 785978522, 725397184, 729377907, 62870078, 937824146, 42177836, 548132593, 342281685, 619025827, 243601145, 560672769, 163318959, 202526914, 744882865, 412687510, 679597089, 138071491, 300486552, 717060274, 527903140, 683505309, 875152429, 135349404, 980359751, 10764836, 302530764, 274424746, 358042616, 7293391, 163499866, 203507096, 893560302, 952807544, 138736629, 307249060, 460324047, 85297672, 614373042, 766424692, 300939999, 931252605, 151424387, 721749125, 150107678, 561558039, 94383397, 376066659, 290740002, 375309819, 719495852, 64430097, 976164716, 192040469, 380268252, 217496060, 602853755, 411456413, 424656659, 980866341, 450088564, 177080510, 39913537, 747905845, 414597906, 431001830, 250894405, 762407990, 658392023, 262748159, 187028280, 862872761, 154713341, 178868356, 447279610, 437015346, 575585668, 616888469, 378849188, 972151645, 814854290, 863361925, 884834938, 619058476, 874175566, 316359697, 189340701, 79429848, 628710918, 942687912, 959026995, 236155325, 32261839, 70351732, 275236179, 200130268, 608452639, 48140540, 955177646, 594714241, 828778590, 143395881, 630497932, 38034605, 671710954, 591161145, 620196814, 312407522, 135112729, 387887703, 917017720, 325522148, 876489808, 892065727, 31931663, 500115556, 671689192, 757949402, 635320799, 818434240, 338554270, 136445494, 529300820, 493636264, 194571197, 77574346, 852667500, 463745852, 596610104, 359689795, 685103173, 425629062, 842294993, 213404120, 363998377, 367110603, 376787982, 128951841, 221555919, 823925525, 652505270, 311526634, 53439800, 918930317, 679622561, 160457634, 313131314, 104929658, 203048410, 350416130, 291389832, 39314958, 357843861, 32475101, 40760805, 9114052, 989629343, 331292260, 596245605, 885684945, 856323273, 68888479, 786044261, 577132694, 175492809, 9190415, 482209332, 768039876, 510690393, 177395593, 153271046, 203850294, 442038972, 549059995, 325971958, 33221652, 72002094, 412827029, 110571958, 611116511, 238937824, 125000537, 837439677, 510064091, 849609686, 805532487, 493598111, 738264553, 854650429, 806187252, 194171996, 162355734, 983731200, 348139876, 296439424, 54691845, 639286972, 773617997, 617451677, 501364298, 239206148, 526672487, 913741564, 13661078, 448669564, 265590526, 209532980, 724468535, 623550305, 11456371, 166595170, 916498573, 612259237, 226085256, 846326284, 492308761, 145670232, 942833361, 784931315, 805146468, 982177258, 458580572, 844087713, 215705970, 329874481, 317393683, 569117494, 292774450, 504905400, 489034651, 870438461, 341233178, 756776259, 890714239, 635798174, 293943166, 445108862, 639271101, 259129509, 811971984, 410854247, 57558628, 525543198, 895724654, 736974353, 991554719, 131537395, 839041936, 266080741, 323055163, 648292107, 19835942, 471843236, 899129201, 387154054, 430963850, 255614407, 207285686, 525991128, 720880469, 5755070, 832320767, 442130168, 869265201, 989526893, 145681832, 398425167, 657523205, 90468986, 584770244, 200566804, 444218837, 117440460, 764741195, 923571355, 859106784, 550797060, 537569840, 763957570, 798785661, 875557531, 523057936, 767892022, 12510667, 235737205, 317790836, 961897387, 385903487, 665443383, 928840881, 693698995, 682597699, 332093071, 69424227, 790937271, 545830751, 740062508, 767219273, 859254406, 380776773, 444356230, 212606924, 630650416, 653615410, 795481104, 216245689, 969083417, 236557419, 787823275, 455266847, 518638494, 237879276, 582183748, 323813566, 829556308, 185432622, 391749307, 8494490, 807947065, 312003091, 191504753, 886256525, 841449737, 271015340, 882766982, 6016832, 750461297, 21075006, 330677506, 769126951, 982208810, 645876853, 551666298, 56617834, 709725139, 300323861, 741753725, 565539537, 660007432, 326069037, 37406902, 572264048, 72457260, 517135655, 549420464, 959565146, 250764349, 437633677, 449719675, 992955715, 968493444, 771783168, 471273173, 596987836, 234394459, 955233047, 294933140, 650240681, 490974386, 936256865, 40639542, 745838573, 696924259, 509709455, 747907476, 901701693, 25190909, 769742531, 341526885, 641353551, 915002418, 664866205, 541571435, 372334404, 800343824, 806350977, 235463427, 883246636, 959089569, 510531193, 661557615, 195505493, 510815654, 6931602, 382229828, 828359070, 410028929, 449400336, 754132846, 794275389, 62208513, 378748331, 442332539, 83382752, 770642560, 636326372, 57151321, 748816715, 458215020, 277869413, 949729754, 701934019, 673931114, 801055665, 816717809, 920715471, 975696806, 162453901, 826359837, 950538006, 93396432, 129024383, 228429347, 285530655, 512822878, 626295117, 874468415, 556306598, 523730653, 632381055, 471596721, 807821919, 465560209, 625644232, 691263911, 228854930, 486186164, 607980870, 753319057, 926959747, 481723048, 762441505, 917209440, 312838662, 846552557, 209192922, 585569400, 209602178, 640083532, 471719787, 12001475, 595600927, 216850256, 831162544, 638170749, 368010937, 351725728, 220373495, 63396881, 659281384, 826620756, 988682899, 653984385, 236906744, 503850487, 993637358, 640680566, 456866706, 997507472, 299546546, 273045731, 94384440, 362505537, 457372005, 843513037, 715167218, 226550042, 601209048, 951632041, 535063143, 943218653, 525567787, 595571228, 69341515, 709483356, 144255579, 254732918, 247053850, 392590176, 127075455, 931296749, 900678770, 194899005, 531323099, 50307831, 23634310, 465415133, 829154383, 339131156, 300575496, 61162017, 801427742, 344630990, 13557891, 973089209, 101629618, 888750663, 58085587, 116782218, 716181553, 939780727, 649461580, 308389597, 4933099, 299085811, 9564074, 388777525, 132075868, 657627856, 762011191, 190398922, 705164102, 192321813, 581898708, 345810169, 358371737, 332036016, 717564014, 663723752, 821373348, 106277409, 377469631, 654213575, 162162117, 274951884, 269441718, 590787898, 840145087, 885971846, 981175321, 765724574, 962091479, 2926838, 964228116, 697971092, 769795264, 789798141, 337748721, 722101172, 316696131, 287190511, 9657420, 669782911, 298056695, 154898579, 557988367, 457459161, 204394618, 145922351, 85609095, 57270204, 870389433, 144879668, 820343035, 732506250, 718844806, 55889531, 81076946, 406722911, 252035790, 919961902, 601372189, 75792693, 86342765, 547789571, 378077465, 79419696, 685833681, 394099694, 790959774, 295703209, 253796131, 33905460, 931759836, 463913795, 860418500, 947537861, 210646051, 77423826, 396128593, 63595598, 121573738, 104364120, 548861259, 238530871, 438687344, 264140165, 820088402, 952206536, 489220665, 951299503, 249585320, 912272682, 43809245, 348755040, 901784271, 83027637, 599872188, 938097569, 316343587, 10663436, 462989964, 201300935, 831654470, 130561234, 462653233, 594871167, 656489735, 557723944, 356071108, 577664894, 936278815, 434700472, 212590415, 487704781, 926501764, 595745712, 221985048, 709680943, 599508377, 71602008, 821354004, 54137871, 66992083, 856885348, 396797865, 213593436, 7318581, 633589678, 487426685, 977346328, 106767859, 840217505, 3819382, 722913028, 117306121, 9623568, 465888315, 199696802, 582418095, 700809146, 94444910, 85784839, 694420973, 438472155, 190720793, 216113195, 812132654, 410977303, 67132049, 380466500, 651185435, 61535614, 663833479, 383020995, 768111364, 932435842, 634162960, 147788773, 883752425, 891440455, 804045825, 858454359, 801470478, 684837502, 908252695, 557340514, 717883608, 694799281, 869518363, 643272988, 569381614, 366610539, 700623600, 280547313, 184712473, 312195745, 170103548, 86597476, 824245371, 927740837, 88891186, 430723154, 412434106, 860972048, 89367642, 987707294, 819148004, 190506112, 967788421, 180809811, 959878067, 2495558, 794028163, 53231938, 673289386, 142502791, 219462293, 435810100, 579922109, 314040705, 271285339, 357101831, 298910469, 761598806, 477406413, 714416882, 212685498, 798143269, 608813964, 347181212, 50036615, 492005512, 656915369, 994949753, 194319928, 325324864, 123131929, 79362801, 633452640, 569586780, 328807555, 55439112, 756128013, 766312061, 296743114, 187143403, 961210711, 396353587, 894140635, 790359733, 51476334, 986089924, 993387296, 272018898, 684042114, 808408255, 768885670, 476914318, 557037411, 497117004, 994401794, 667766629, 544620503, 705028659, 21850876, 315593519, 38764888, 935518999, 62505126, 148433881, 461176239, 402734365, 123880746, 864161677, 976234724, 331404898, 408941322, 692656988, 193601003, 41231402, 616706722, 458215974, 48781654, 843797673, 331741171, 728814270, 614000399, 181083054, 207685577, 156695349, 620308392, 415749270, 870217429, 517235109, 576118953, 673952869, 728758397, 111678328, 81811103, 707157196, 99730760, 435524581, 364302095, 363830596, 86328278, 746491393, 326362956, 268570487, 473881382, 573144625, 34130654, 241798756, 221661593, 475246372, 784822852, 437797480, 84314389, 433217058, 578999791, 360049769, 678695736, 618427950, 178921363, 831600485, 992685185, 850431218, 326844148, 324378422, 588142463, 385075182, 374361984, 861688495, 338989471, 340300409, 266340440, 200376782, 215854548, 923212486, 447039698, 521543991, 197941775, 723306015, 248035199, 48968472, 353182723, 214526061, 923638638, 270000532, 191765947, 294671668, 815883876, 176667164, 760766010, 201132563, 519619182, 608026474, 632637447, 819887564, 832421049, 608478723, 213858397, 99815688, 596458441, 348003355, 821729361, 403431358, 291995623, 427626035, 111439364, 622568046, 121426529, 204697071, 180654299, 580007845, 78140541, 892333457, 438912170, 844281487, 9569218, 76452938, 952437978, 412465190, 859254583, 904080960, 368045761, 718848389, 686136312, 121085622, 642551652, 177989288, 392997188, 857933904, 78612369, 346474640, 243734658, 256908736, 610242980, 39534363, 985346903, 699118842, 204081148, 52305213, 861204063, 467541940, 606105274, 80143464, 973606614, 261621002, 712036920, 731494073, 312475884, 767114240, 178012715, 531406995, 165480138, 97034107, 894212927, 199334380, 886546003, 697569618, 759359164, 925169314, 785057459, 354443423, 107401290, 463912333, 492540291, 341386658, 300144514, 41073984, 110328927, 876310698, 12530762, 792625971, 3377345, 60376372, 994349223, 790446815, 339814954, 176758533, 233113483, 466290040, 329155198, 159645620, 276206717, 538529399, 453687921, 880444855, 596720783, 400630306, 91614717, 2698100, 276968269, 212555952, 274222418, 554605638, 38917567, 34674526, 877892446, 720205762, 462900957, 250964918, 187203113, 827461746, 203307741, 646872016, 193171356, 212990842, 194381791, 440719117, 633490741, 619274957, 334015810, 485895810, 448924279, 736325457, 619779259, 716876130, 661176747, 940573289, 673519855, 708218056, 37970778, 980082109, 361434683, 567562403, 44563632, 920722999, 623658797, 594542993, 205307277, 741431463, 215207115, 173477543, 889496849, 607677061, 845816492, 284324480, 490248829, 847723799, 853148036, 285534543, 60938848, 976707202, 430127735, 703638250, 409268647, 187152032, 98281134, 272984837, 290434098, 26573434, 574310971, 122248679, 459450009, 154559768, 204607588, 788103938, 187627623, 79944406, 885934071, 959382838, 940122218, 528358235, 228316724, 467092844, 484371158, 4950922, 87838508, 607736080, 10948794, 805754219, 192905155, 793436240, 856998271, 494325045, 873857406, 66378025, 408730227, 189136518, 61493142, 929865721, 924709062, 743826095, 292891888, 805145517, 608448845, 201081812, 410822293, 317680141, 409492553, 888217678, 817416635, 392584648, 265285951, 669933113, 146184809, 796302251, 990079881, 487528828, 634922829, 996457980, 987002037, 332373475, 937191257, 837249583, 292118065, 826732897, 962754365, 273708121, 160204849, 882374686, 619478519, 501291017, 885807650, 35186851, 704007458, 759698792, 937845943, 591955123, 881279695, 732448380, 561301852, 132093927, 912342902, 506290512, 491145499, 614108050, 68626318, 208320892, 493350256, 281264389, 497177563, 360219348, 867045044, 756087413, 733199184, 624606739, 559523432, 270658258, 576794223, 8512397, 891493619, 443840661, 709456857, 262451529, 906025488, 835086971, 466380620, 908543219, 971174960, 828805926, 158396998, 573081832, 762607064, 245536485, 648781260, 221701573, 837223625, 598044595, 628893951, 529198698, 28454686, 836720295, 836628124, 959603692, 582306205, 114764129, 200515729, 756776571, 779857292, 127663976, 190599776, 36469572, 336752272, 411032856, 872264163, 923234662, 659036040, 643857528, 246368093, 18137011, 816512956, 519940543, 279599931, 670786097, 989900993, 582937112, 668246420, 156945432, 60353298, 257355633, 567076580, 928328104, 514239587, 934864954, 798196655, 939236756, 314243232, 238411913, 9287335, 596118744, 748396732, 351026979, 945582044, 710706374, 725609356, 89392976, 158719897, 1719803, 58077915, 269921199, 737852793, 799809615, 146111126, 386627523, 502440911, 484917069, 779027186, 475171165, 574276446, 14420177, 898443122, 565778871, 902794659, 663058127, 981357155, 998484935, 347698453, 396158218, 490011772, 485041657, 872975470, 974663183, 842956850, 378570108, 492204456, 363821193, 815855650, 796858844, 907458902, 78175615, 889623870, 390630408, 727112262, 826117130, 266173806, 665541866, 588113805, 616057664, 432731895, 701912525, 639663835, 242847366, 987831771, 561193457, 700557636, 854934645, 190302811, 943958551, 593635819, 808696176, 691017846, 894209724, 331686985, 761700313, 502027826, 503084945, 611218506, 273842539, 138086485, 475072455, 147768322, 208905080, 424139493, 548312572, 113292786, 934275775, 751997337, 848352959, 82727738, 525076001, 781644640, 811709986, 137074694, 860147050, 135940196, 318064359, 112403588, 395039925, 946136782, 178740872, 990144448, 912031403, 996491461, 852414841, 175096578, 455544189, 892679300, 90028423, 386884146, 551686888, 586054066, 835209094, 309857504, 968112445, 388146850, 658544444, 973038311, 409895236, 510431261, 200753244, 795376580, 634070554, 887877422, 395845053, 125316571, 254112105, 261774283, 198665671, 273259230, 613334230, 374756448, 135132193, 224069552, 457287145, 882407321, 912548733, 320776803, 841827413, 87607810, 247906864, 90060945, 563561653, 370399895, 429776901, 701941272, 591184107, 42242654, 132493494, 623937008, 232848164, 420070816, 826156332, 533892158, 777683866, 937023748, 729327040, 213087697, 579487088, 276626641, 865654665, 831953060, 949939339, 147613666, 402584685, 189908267, 422415770, 537069623, 439248837, 714734960, 924459570, 462569961, 767069690, 496375779, 30983173, 242228375, 637609222, 99414579, 667027794, 996022751, 501271139, 160579950, 474179509, 826536234, 702001658, 754425239, 43530450, 384459162, 417332265, 961106733, 611395100, 758469889, 327478685, 444283296, 828687856, 837106191, 840559285, 762456109, 590754626, 557836673, 236079597, 784853669, 598703855, 573818038, 161509795, 878731108, 203047502, 412457755, 980618319, 648620912, 242752064, 798872539, 68439678, 616531509, 260000359, 209196613, 739766364, 181192032, 861799412, 691331907, 858850117, 819547223, 1150464, 503072638, 961385950, 234470327, 126327052, 811458251, 461907182, 454336128, 194399485, 282859479, 944696443, 827108904, 760747834, 621889337, 826282238, 72173167, 364977054, 404378526, 364248110, 38541217, 752707598, 201297259, 295617150, 200318749, 623021770, 654374411, 401060688, 640659106, 703665912, 23099631, 475593337, 167637597, 354796952, 880881516, 54493414, 871391453, 592035174, 205802088, 369588094, 80609983, 961084515, 402358170, 325639527, 384444135, 402355164, 185265007, 974501033, 748024788, 28348466, 969189465, 737011519, 883277840, 670006494, 854378237, 13595348, 464469788, 326785162, 994951862, 662870853, 798183391, 937457385, 586815286, 256572563, 325381142, 201415253, 808627115, 811335213, 164030385, 74985402, 490691587, 256398830, 297709763, 731018714, 218325505, 515957781, 341129316, 18483616, 506904406, 419634062, 753715202, 278439828, 664414157, 512736228, 904388898, 582163053, 264864284, 202448480, 343435197, 623349965, 139734047, 786675232, 306427434, 115004998, 128815247, 478725100, 726561050, 564876212, 865340235, 256330592, 906938975, 207257099, 909474104, 427725038, 876397589, 461778263, 398272123, 519708990, 820787611, 169591777, 411206678, 830491677, 384832047, 750619726, 84921906, 989580692, 136211437, 944475446, 463577202, 812696165, 365126295, 320148460, 75442925, 320211549, 605994281, 21121370, 18455898, 541907606, 473556068, 818271436, 71392326, 339929728, 209146888, 899531083, 540187946, 164553653, 110563327, 399400884, 929664856, 984801855, 326932244, 407317520, 863233774, 881097195, 547952339, 555476900, 120429515, 930589563, 941207173, 331007092, 682892182, 864487690, 914593391, 380469773, 446403517, 475796453, 140684554, 925969229, 529341059, 133984475, 974499274, 544670559, 717405384, 815624352, 830973477, 153406905, 961617048, 541025477, 682536729, 249398452, 287454500, 915446546, 605701521, 491038151, 977198156, 361453718, 909373408, 627258541, 121942134, 959862407, 221844451, 451702838, 389276718, 454782350, 764209895, 738649481, 317549110, 828065931, 929048218, 247641522, 729417194, 991649535, 230773381, 140341084, 450917085, 312555269, 445150842, 879541685, 907620015, 995211279, 283997856, 553074165, 447928676, 703373344, 761263441, 74556710, 875141401, 170631529, 124702563, 720760139, 873060984, 905856839, 626942643, 328096154, 578565260, 847247395, 40064030, 776948629, 991408394, 131159218, 321789864, 710114948, 745128436, 985090031, 424388426, 887945089, 417485025, 454791575, 500564606, 827187127, 581207589, 367126440, 692209013, 408178531, 894936016, 945998614, 604312759, 788265136, 73501957, 135835043, 279457641, 194912394, 725057256, 990923061, 262809143, 301364168, 906377207, 523454826, 984175409, 249908287, 629779263, 75396703, 256934153, 516947537, 469729236, 552998754, 85178820, 124032170, 302668082, 666225148, 572281347, 689848055, 170408227, 811081317, 135824530, 842477307, 152921565, 273113096, 600221913, 414407528, 721570262, 503595930, 705159982, 869752973, 171416692, 691371308, 812178743, 624326102, 874690508, 600426913, 636927211, 856147295, 825935870, 73228144, 517478151, 819771796, 267042650, 340553411, 175756278, 108785274, 545158226, 126060584, 331208625, 804860822, 862384582, 29715076, 447480380, 489160954, 446055858, 924403529, 414733762, 224535012, 318489280, 688959557, 241000029, 590815791, 97627841, 275623132, 692095564, 936954806, 157825252, 424749232, 937376723, 65064405, 297063734, 513089529, 201978937, 155395404, 597019352, 451288900, 308835371, 785137110, 154537272, 24620718, 604489017, 620018880, 228170582, 262687193, 732820010, 475623308, 913033906, 203605132, 960821337, 255787579, 10324819, 772676424, 151372633, 191613175, 727199129, 851180641, 698102224, 277480386, 795379362, 516011658, 395866303, 214820297, 802230932, 790519922, 41919061, 980060671, 119679994, 764228445, 174144078, 716413604, 209054142, 896831530, 204341498, 421457619, 744750697, 943620883, 99187646, 195977921, 195948876, 757868233, 562041684, 890548077, 733605630, 215650371, 110632204, 140655374, 145866191, 518895193, 459736305, 5929870, 875521827, 346984959, 939473614, 469661700, 511213033, 371211082, 100241111, 425428675, 553402119, 771791394, 621055817, 75915210, 730749612, 682954708, 440164260, 219380166, 224257133, 700177965, 786350904, 252902183, 229506582, 701591093, 260396561, 437980844, 336575059, 778994146, 203670354, 423483327, 376572797, 442557469, 694762130, 680425984, 687246810, 13005729, 712135452, 180417531, 838409874, 845728988, 199235178, 59485630, 307998968, 330570690, 980963434, 912604296, 814143911, 911613969, 800234982, 301288706, 971092076, 957030074, 994674869, 625804951, 449040462, 666128341, 724769778, 171335809, 880630599, 159203076, 888980883, 610317538, 260070264, 940756685, 580393587, 112725065, 166607433, 337176444, 915866806, 941286898, 438446140, 923211262, 473290563, 25878594, 53726486, 423247441, 937022638, 876552170, 737494062, 984339467, 105775429, 73065143, 73420661, 254951229, 386406945, 73040070, 665091333, 214177010, 140429170, 234396864, 383495955, 613561973, 838984843, 409504019, 815517891, 849147413, 662259145, 337904637, 816384562, 325863910, 426019015, 276961187, 990303403, 534560241, 82909948, 392594836, 966339906, 948108675, 163415919, 149939167, 168505784, 147295257, 664315696, 711045969, 962614784, 7620934, 980502662, 496169581, 967042967, 955855276, 241571387, 361589807, 94705725, 731916655, 788350004, 390079877, 804896091, 809261850, 307265441, 593303548, 647100827, 54558400, 317997854, 791028838, 201732727, 450907070, 866554185, 279483418, 788014264, 57823610, 376130992, 208252442, 708564937, 990357966, 288046223, 424832959, 189686605, 815280648, 632141298, 608439751, 262236797, 356814321, 109838100, 620269543, 292281029, 442360584, 723347572, 722048276, 592692246, 175093639, 808220122, 364550114, 597556582, 15749580, 529256512, 187046352, 121362450, 388786701, 979671005, 465697245, 313541667, 806946897, 263095189, 290486403, 166407225, 935160232, 846239735, 41563869, 178010614, 719583817, 544833681, 820855128, 596813480, 704959710, 948970464, 70177618, 511348315, 472238188, 781825253, 484699019, 952680148, 530380815, 784195274, 764174682, 798600043, 592204235, 75434209, 8166141, 279553787, 168628972, 496394971, 527994783, 517543395, 252321046, 70654741, 758024840, 397794498, 118477889, 262790772, 550909888, 460915142, 986420838, 663747166, 191816127, 628796262, 182271625, 105275084, 83062125, 163369005, 595655502, 293026738, 98762035, 238460353, 511446978, 78013361, 121149664, 8624808, 777372166, 937094406, 265154926, 776401982, 505051390, 960470907, 928631876, 482919208, 673057777, 301472925, 353044291, 959448843, 812560663, 419169589, 354268800, 36225700, 183682663, 879233542, 123242291, 342271862, 736094280, 474662938, 886804353, 811514801, 779942955, 936492211, 968011092, 975341777, 533159823, 11028927, 957016887, 364152833, 410120908, 484859671, 248309442, 863679106, 995848376, 474790902, 636567171, 689255752, 70197333, 793206309, 312390730, 438710270, 721807456, 930970811, 340750026, 445169718, 313214919, 672530893, 994447906, 381761552, 978406474, 384426562, 991634751, 523333505, 958039852, 287727146, 536021526, 810550187, 925739515, 694527843, 423750730, 909442920, 36198203, 253146788, 937894034, 242635101, 831967116, 329453632, 745371161, 524915006, 72759092, 693926200, 150259532, 347939158, 231996580, 160477260, 941243793, 380627186, 271955842, 575370896, 987636384, 426629340, 25879733, 320035163, 382972405, 641084022, 521031142, 265572986, 371500459, 686098916, 355059274, 987999867, 238843928, 935805799, 171002473, 378353913, 69554730, 193661460, 121276124, 610209803, 34706888, 909089001, 852307480, 693845268, 737174719, 198369388, 531191200, 509544861, 399304458, 222551477, 482766165, 285540185, 163983640, 685645614, 783581675, 94192008, 555585878, 609125050, 890861612, 454582197, 202351129, 144357638, 453101193, 82015663, 112237510, 940237360, 936627570, 647766505, 179382300, 565573395, 276235559, 369477425, 11536170, 289133646, 53179888, 555867705, 621685090, 132678771, 659014200, 597154346, 209887307, 267466858, 725189737, 534192288, 126028606, 41825736, 866780785, 170612318, 750987079, 811912981, 744446211, 70989612, 436351830, 44790994, 801518956, 417772089, 525498542, 494526693, 396278405, 119827726, 974008868, 591534822, 891443299, 882518835, 42400532, 104092878, 337630936, 338417657, 270461677, 844429103, 225297400, 591598172, 952575799, 733240170, 724937523, 657274519, 123901276, 646950796, 735679546, 839961026, 700312898, 653860830, 585583792, 328157176, 283396066, 986514154, 693439811, 999215414, 167472749, 854274588, 949957342, 415336511, 819001566, 908394123, 417651874, 309194216, 129186881, 969656294, 728384208, 911266969, 503679563, 123602829, 265023951, 660044170, 4397939, 964412931, 341631254, 307752164, 443994280, 901595004, 864338333, 97957216, 668228879, 997528186, 615954398, 215185205, 569197319, 848686284, 442808693, 186829782, 209639441, 790584676, 825938374, 879787114, 774035953, 212980350, 42543816, 552198307, 585331367, 502947143, 752342796, 650644375, 957027723, 973149231, 749777072, 175852964, 639509670, 379598690, 394973536, 93626233, 408760948, 179667960, 686757982, 705691062, 989903145, 764254713, 274635998, 121131501, 356921592, 305388958, 162559039, 372312087, 709988602, 112668206, 490591262, 794105981, 518899912, 331042842, 970758861, 197297252, 390364636, 85166700, 349411492, 698540766, 413061136, 993272933, 786381318, 343894922, 20917284, 4162469, 818986811, 788392271, 343864149, 49813590, 854778573, 577329127, 212290533, 582017931, 181499940, 718292918, 976197912, 653388167, 607129045, 7339064, 225240018, 485774889, 86942900, 328392154, 479547052, 772380189, 475228221, 847088734, 14313225, 575692530, 90328446, 763361740, 171004488, 709335576, 400612011, 99914507, 51609070, 62520579, 319803593, 714094857, 123215178, 477615656, 16209250, 199351999, 538780836, 561036744, 107923232, 523998792, 166330927, 853896866, 381803422, 531229335, 728074918, 689573684, 907573007, 590581884, 916711217, 95609844, 129410712, 56584327, 959503064, 957056750, 174215174, 744459038, 628985450, 544700981, 256370856, 274085016, 569969065, 80965709, 570140769, 278915121, 384090535, 908985961, 495909709, 899372711, 798393288, 634366113, 367735202, 222448367, 351845737, 954035471, 983250113, 820438584, 42704652, 653660836, 812552967, 657742693, 792480327, 753678477, 263812641, 154229201, 496536597, 999420510, 299597162, 364773715, 211490008, 21104206, 310972890, 186942321, 757251207, 812453231, 663833786, 922407489, 59946741, 564704393, 126756380, 685616429, 893601589, 736990521, 400966741, 116627896, 112251287, 358147473, 656532732, 341659779, 781811635, 496072654, 84594744, 834210672, 774323215, 286979415, 236179242, 497487631, 986294165, 606264334, 581344411, 604436841, 89367990, 183301355, 735670029, 428543862, 505296770, 785706692, 234715939, 277162883, 32222492, 18460317, 271996127, 799991118, 760150530, 269722520, 146813081, 926958666, 951859911, 503574939, 195066606, 804553622, 215936770, 918069808, 378537540, 798837642, 425180116, 165197802, 499316498, 22168589, 185500076, 508722878, 889723976, 908263988, 139195262, 606246954, 657755291, 315325647, 228660461, 927778893, 773886452, 439856948, 162230151, 879081064, 101925670, 524899845, 354342522, 133025868, 108866469, 121189181, 270276064, 969560216, 722147931, 313498007, 719133170, 624863408, 938930036, 536249581, 425190927, 272648950, 434021221, 387834573, 292316946, 274994692, 507311664, 570350651, 195366142, 485475398, 442659745, 471245125, 706289563, 654688224, 271869745, 209340773, 706623957, 567840485, 616912489, 167930641, 303686752, 367962771, 350789032, 80236200, 488932009, 964321600, 927976838, 81006556, 774412764, 160244233, 471356767, 991797103, 666297061, 416998448, 934599153, 595460050, 776591390, 257742904, 808988958, 693050843, 103653544, 128413832, 354563702, 462954621, 195328082, 359138347, 441836915, 957489681, 796564917, 846676910, 540525398, 513848662, 997378051, 228900217, 171561307, 884494259, 721353654, 167291613, 123767666, 215668879, 729854390, 397159915, 5679327, 91757280, 460993580, 758892395, 63364111, 208641496, 970003687, 634189428, 430341582, 744490912, 968857586, 949030417, 553839150, 216345426, 782160216, 792328776, 395705944, 866853155, 286856891, 52236982, 297869558, 201704212, 642231314, 334898280, 455213838, 232079102, 352590943, 178636650, 535975629, 82298428, 646038502, 502890869, 706507039, 474355858, 378367492, 535213711, 116407579, 319484256, 720767517, 246535744, 149382399, 917995160, 670775554, 681126581, 954512373, 797491622, 604082172, 729862161, 511091348, 100672983, 385805541, 762425255, 256157537, 931194850, 560295789, 722837799, 328350201, 354399213, 92596021, 587112390, 810973259, 938371616, 329036152, 46203198, 11616611, 21259407, 692061430, 750532131, 105217242, 726942756, 514312248, 941080895, 335716006, 907162999, 246758021, 552082575, 75297184, 709313219, 695892239, 580985617, 426368424, 824466468, 170874326, 903685463, 174693086, 947539186, 37396746, 101157192, 662256145, 260992070, 622977927, 968943493, 901178788, 862455773, 76973103, 433756078, 68125774, 825843489, 329407402, 955478178, 600573316, 479181475, 453581187, 595941271, 433304677, 56378151, 633487342, 494755687, 493647493, 702660394, 836942765, 920512286, 969629067, 708496326, 976141398, 673631482, 481578887, 745001298, 228865290, 492279631, 902358953, 665644545, 357636002, 407896753, 399474653, 957377649, 720649709, 312245988, 726258976, 655544170, 656631691, 923978810, 525496169, 583172968, 278704317, 266763811, 868822416, 289935922, 413678974, 742915793, 625366611, 417987874, 154357619, 378033914, 586283498, 821889053, 545559974, 299862341, 386532046, 239241952, 856158621, 887565736, 934086935, 495469834, 804782016, 300335237, 253522125, 516950612, 191703017, 690509366, 389966439, 774017734, 305822339, 43597842, 28146425, 840223154, 40448111, 762009308, 964358276, 776198924, 676125809, 405387575, 889967028, 958667358, 239935066, 89479564, 685958360, 367961757, 811350539, 630777525, 568511668, 374273340, 283463622, 781474126, 211086524, 390712317, 40869657, 253756557, 626884512, 113319930, 428770206, 516517849, 182327581, 258051145, 751062164, 453021476, 209763508, 935194281, 20060535, 60414480, 177719930, 884271211, 109869739, 209653092, 708260, 385501635, 886535262, 867463132, 978581191, 598943712, 805049182, 260627808, 163405322, 286408763, 743219258, 128122552, 534875474, 54629670, 649512062, 279312123, 402845103, 359140116, 372800395, 539408118, 137486651, 66594538, 648677736, 249037799, 352003761, 805983648, 855661793, 838101977, 966584215, 254313752, 707375407, 179607649, 200880027, 143531642, 715758635, 114842541, 777971516, 533948872, 853579446, 237192132, 399153048, 253078883, 786767054, 621974218, 661204384, 384911236, 186524396, 694187772, 41970709, 919169660, 864282142, 239421868, 339161732, 516488567, 519958019, 528531659, 61409824, 173364939, 182203345, 98940850, 349373260, 856604823, 916497458, 674392523, 282236000, 713833160, 462506977, 708401279, 694659673, 579465778, 13682218, 535394141, 727635635, 54414410, 80052747, 921974647, 988265240, 641338878, 857810302, 877310557, 543762279, 680159043, 828170042, 248374536, 996825065, 914358257, 483572020, 872306412, 102228516, 363830363, 199715027, 483424229, 681246862, 358050989, 739865461, 729474664, 687499309, 83883873, 619888911, 63919509, 89580931, 986969515, 880180653, 782124246, 772211624, 926728556, 750498195, 960907109, 468747481, 582459775, 194419538, 593745981, 107572772, 453139383, 858102731, 73196554, 642796804, 739325068, 736678254, 424960581, 80889136, 943870697, 117909597, 964629010, 540697635, 854314233, 136923569, 923459171, 964763093, 139833097, 808367725, 824353455, 188538504, 507976604, 887012128, 455119635, 284572309, 583753838, 378567908, 40274501, 271766003, 709663162, 350727677, 415386190, 456743571, 367387199, 80759919, 259383170, 547971560, 325695832, 428876929, 722090305, 492455680, 369959056, 663461364, 180943918, 927920824, 958017640, 57607853, 569509347, 116227148, 579311918, 864362565, 369474601, 615265190, 10288847, 251052525, 876303943, 193318381, 393265834, 780360005, 854401549, 889920065, 814928908, 892193817, 935735418, 878590351, 746315093, 664023130, 929215657, 712351016, 139546212, 205397901, 458050712, 724796747, 9881699, 36003408, 517835809, 381185336, 436786129, 533180198, 542553241, 471298520, 848299852, 941739321, 115719311, 914530382, 795361160, 988057911, 530273205, 511801399, 938922843, 716481221, 896904800, 542110113, 400475008, 772598967, 962724510, 778504679, 895860878, 715570724, 657062446, 557913851, 332375012, 710161345, 437115597, 778865076, 891746056, 301495540, 968423949, 982231830, 509654458, 420687400, 520397609, 592358099, 345820764, 883737198, 684728911, 196012538, 929423939, 266041472, 203595711, 303278580, 536587286, 186641062, 689276880, 711843897, 69385283, 786573587, 151243040, 940899730, 154270385, 507704474, 655133128, 546175456, 790601309, 484502229, 342591236, 115725530, 675141648, 933513489, 195412461, 33284616, 559571005, 330088016, 681807694, 215489036, 276630185, 318633981, 473747201, 5890801, 367430025, 990203628, 482638487, 880277518, 757334763, 835918336, 463648647, 573354787, 310731880, 542362672, 609456683, 624315036, 30367523, 561258876, 976008579, 451264498, 637525413, 654094145, 859258865, 330674929, 949234116, 911831688, 396631776, 305845421, 875418685, 660443533, 170079267, 197271500, 896952110, 218035953, 373722107, 176882676, 179875131, 792713209, 907300979, 351836111, 665322090, 426080727, 557077245, 122952213, 834475237, 630623172, 188734328, 35610417, 283155016, 649073326, 135972305, 202028472, 528968016, 318104437, 779481509, 34235204, 500529349, 385362030, 928509185, 184816722, 476677263, 921949041, 658523635, 439872785, 645597630, 210965006, 937870322, 283047652, 334222466, 15757041, 744118288, 377465833, 12445159, 58467670, 972894210, 548857504, 451306700, 216926386, 473106473, 121624855, 520660155, 232353639, 300385241, 818452051, 721507323, 257346264, 933631541, 437734302, 433006708, 115722054, 309992116, 683901974, 530969488, 575938556, 71796861, 432986593, 133094722, 975020293, 666387762, 221730377, 799402032, 438180688, 310390850, 244770169, 371527436, 444463680, 912982892, 670785103, 65732576, 990656124, 659263839, 58192336, 247116856, 944799334, 58685830, 461556911, 809867551, 736153959, 941822068, 196906842, 398447758, 146111551, 681271638, 711745479, 903672505, 612893310, 893406661, 442568961, 868135642, 204264014, 270742220, 693535504, 272463798, 419541703, 990125512, 47649036, 995664098, 424885982, 126875588, 102094765, 485836019, 684175303, 204043001, 653456205, 248596608, 451351765, 79730793, 761383720, 309108407, 989012460, 188000877, 772836066, 45027618, 68760502, 757395029, 46885137, 437613817, 336367813, 813885235, 901206600, 886136046, 229779095, 891209406, 204971276, 136003383, 113707337, 367269602, 56234599, 428472518, 481084472, 340172985, 931208691, 795779068, 859420339, 122621829, 703661822, 234375734, 799563149, 833391187, 567767346, 20891410, 533372525, 165931429, 960668568, 488410580, 758431447, 374747576, 299825383, 560616134, 381575079, 371450078, 960444484, 318488581, 126541428, 388556068, 902565104, 708149762, 602082201, 668915994, 184030685, 607343436, 588063337, 278810564, 570227758, 203403527, 663861439, 204924938, 364449939, 514403442, 367144138, 434299640, 971931913, 737842781, 107971338, 462669375, 946145057, 543401997, 543657975, 726106279, 672368443, 250340852, 123303840, 369581598, 621165906, 845401109, 509261301, 525379199, 349790107, 473201407, 588311524, 556034306, 278655301, 124368382, 605176024, 509218708, 101147878, 515068372, 147246394, 371116300, 843912590, 752657612, 778569830, 817957199, 979453570, 465411058, 213807931, 487681542, 304816351, 595871843, 378417567, 821739500, 436357133, 332040925, 699082862, 723101268, 357818742, 385027562, 72448155, 9426366, 53449665, 377338294, 983906464, 900128180, 665928022, 449572779, 122009240, 362529297, 756596544, 475888523, 141972648, 259820516, 447433920, 99879154, 788710288, 875698851, 745695174, 48899240, 20189679, 605540793, 132615570, 430511160, 363742760, 998270835, 140199943, 588168152, 826739812, 562511712, 485204670, 624524396, 502472205, 557134465, 190451554, 889046148, 792943058, 624804443, 967528804, 31491341, 540156648, 823581440, 532008436, 840033593, 745764517, 832299653, 76079889, 702740912, 226594493, 536192981, 706575619, 608206918, 216668130, 506786228, 997880007, 438376534, 742050043, 148943874, 264888049, 601719026, 268447298, 933806462, 998123340, 808283301, 331836330, 222421613, 913500248, 170019784, 687155346, 778733630, 97940580, 517088522, 190242075, 887682906, 747710093, 499042930, 745041228, 885044095, 111822895, 456592942, 858849654, 821323179, 519900669, 196055786, 92576367, 687135986, 177719954, 430330440, 141348772, 114567453, 518703000, 54540544, 152125693, 82548652, 35697320, 132459448, 595227510, 503568801, 907755, 939470459, 742360673, 804854641, 250892542, 257764185, 988638727, 305560289, 830750018, 267997696, 480470986, 816447015, 35613210, 973655637, 262829702, 680757480, 970823635, 486587761, 21146520, 118649308, 99749580, 259699796, 90679265, 291503336, 15469292, 745348150, 982044677, 1177114, 64484920, 959690296, 928130942, 421395413, 931730894, 677520010, 685550958, 125092725, 950249646, 380302096, 79533380, 599098826, 178350661, 924822628, 177408891, 544799990, 595540777, 491914245, 674571438, 635853884, 955868785, 980759056, 803184353, 515510975, 758508810, 338169920, 272293457, 1544045, 219251485, 604376101, 865324164, 659828884, 889483907, 742772053, 986149420, 532204187, 66164191, 712175026, 248054315, 846579805, 79137520, 145656303, 454769853, 66760724, 350810002, 602616804, 874720011, 843459401, 500102309, 621818043, 671679008, 435778088, 974184418, 537710360, 397806782, 601295491, 406823846, 102123720, 874137648, 964315143, 425878915, 380601196, 757014150, 468062964, 449809805, 61475284, 437151921, 892333200, 295853524, 755784950, 473502580, 582447599, 178527685, 621225413, 909699458, 982036677, 851382779, 608001085, 986290945, 147654185, 982722044, 615506010, 468228796, 110852254, 51576746, 469871799, 691423098, 790177557, 469584804, 450787906, 291737697, 150723020, 899374535, 131539979, 123670081, 682224816, 254438757, 811637070, 355446783, 733924224, 2310157, 662000513, 584713932, 107049950, 804894839, 953102208, 539143966, 614823394, 753356414, 388564083, 491029560, 314942459, 836879766, 234519757, 822674687, 676750325, 451393208, 559789790, 226696490, 156859937, 61268552, 665437415, 217324070, 382844115, 719644950, 863935623, 832174860, 66265682, 408913511, 301624803, 108698918, 796408132, 555773377, 498877490, 283746741, 176624017, 17317757, 337157761, 674230233, 255924396, 85037055, 764462217, 364221237, 700756109, 317029786, 804325112, 382428615, 543678781, 628212109, 172279690, 616412781, 184740260, 445454218, 35748665, 308373504, 403806371, 910772887, 508289327, 948315401, 614407265, 442443691, 602745783, 718564968, 983511598, 576086311, 245665947, 948595855, 888629378, 736701290, 483104740, 540699597, 131022426, 909681416, 106257394, 7507747, 883529380, 286254270, 862316551, 810144884, 817312181, 953535949, 214848160, 174474070, 349394021, 188614549, 199324084, 968395396, 363748716, 814272093, 426447544, 461185348, 392279401, 525341782, 708597489, 512289730, 874064448, 198576013, 551070237, 327980630, 369253736, 494732228, 763006062, 655231210, 766990531, 624407768, 260087797, 149428995, 442793232, 830096897, 453224997, 75979337, 825169843, 52572231, 189526942, 32248548, 605044421, 163746587, 250276278, 750637380, 30050616, 449928117, 695446487, 960640988, 400470825, 996049280, 719355502, 332729485, 977345417, 541831822, 227456297, 97872329, 296082599, 70911513, 242531336, 899255100, 299665544, 123152539, 800780041, 300499151, 17234694, 93545057, 633951216, 841615832, 635428601, 359133739, 421571058, 310398552, 723044270, 170045986, 761472497, 680837441, 843623585, 413035879, 912501955, 291934777, 496011478, 544872418, 995799807, 916513660, 689643591, 974460670, 711978457, 784288472, 17520541, 602259454, 996784306, 126554430, 495475184, 546386102, 918184064, 935243398, 746585929, 605860071, 218346665, 111093999, 104928935, 726464760, 295795629, 351894703, 941236363, 626689993, 144232765, 232425296, 146929936, 927322090, 483251745, 960669780, 737704027, 701495845, 312475057, 1615781, 966282581, 256638242, 475057140, 507374803, 840142422, 968105862, 663868801, 745882387, 606275217, 559958078, 96984052, 57142272, 815702652, 40182356, 994718218, 779643195, 365351960, 743400523, 194215994, 138294111, 637952740, 951594365, 534604750, 552643304, 739114338, 953857779, 288801960, 658487189, 334144414, 571355966, 280361034, 64693972, 90548086, 955624619, 387515384, 357584602, 523815377, 876577485, 684941544, 194853520, 519636506, 737645295, 349387639, 125932529, 246699010, 237641122, 649975687, 511421175, 328139546, 56178882, 659980645, 962704899, 443272199, 846861677, 141693182, 796615676, 253461330, 62162780, 396032488, 615736785, 268053776, 654970531, 54534761, 180999714, 520446347, 427954409, 331431219, 711641493, 603072311, 149107918, 979334989, 705115334, 530612748, 88143785, 28843252, 792888842, 137589101, 623787781, 375477319, 221209197, 267341032, 667950012, 611625448, 67885028, 339195132, 687261245, 1599387, 659374924, 827645797, 940881963, 654819982, 403024857, 650924657, 777222728, 394361903, 491267974, 152961708, 502304869, 14387873, 111690445, 625069964, 950849925, 616223560, 746312872, 327605933, 48211900, 149407121, 598665792, 319636868, 417858298, 143800720, 437245342, 326508948, 685265451, 88935845, 856740257, 633517489, 138494265, 562284320, 496281201, 903192654, 469464658, 529721006, 899977730, 495530646, 751799467, 961640740, 889483112, 169705660, 529072383, 437476570, 65110952, 736887177, 336872129, 223229677, 950220161, 567781903, 108876178, 801907681, 189860094, 93820508, 11261840, 333924624, 88853935, 187595603, 358401350, 348342871, 493375571, 730688088, 111408861, 220493930, 930821006, 352551214, 769173970, 363356766, 949293492, 663290646, 430434241, 934442424, 516018724, 718334738, 16080964, 552545294, 586648411, 35369517, 45955824, 546503811, 178095178, 53518691, 270289508, 405036189, 275699776, 166491856, 798071196, 656778448, 362953862, 43616866, 71709781, 412708908, 638948052, 331237108, 383432163, 286023412, 133963484, 469796059, 511908793, 946537192, 900780057, 595888679, 416159579, 119543155, 177162293, 867265305, 645171813, 946316992, 909059283, 914814032, 743216292, 316736819, 159355148, 663508686, 783030256, 946899545, 821213414, 420267383, 393470923, 280888559, 990871878, 241350123, 311665373, 243345662, 116137987, 749380753, 945377675, 173854494, 634448983, 847664974, 863686262, 748649297, 712073281, 969066110, 17656665, 718746022, 686700678, 84223914, 875149189, 357691471, 742860807, 717165597, 965221004, 308788878, 836628298, 872063664, 326622608, 713991127, 467097591, 389244605, 576329451, 384984457, 627058696, 282044112, 358348316, 119903774, 678076172, 875892281, 292988619, 471145855, 874635784, 690831021, 536011185, 61842282, 55984841, 255313910, 21633367, 294610215, 935221413, 498238262, 585405783, 237765412, 899986986, 695876464, 415392126, 273430946, 53773510, 26149799, 650082571, 927078726, 19228640, 451381423, 560289483, 940529082, 428501190, 340315082, 507923841, 498032659, 836050854, 815920962, 571059817, 424987106, 185547053, 381849835, 570526863, 180955112, 850806883, 845442115, 689614330, 195444339, 307495168, 226230219, 879041419, 436892018, 629323820, 429571247, 2005431, 623088843, 440468740, 973852281, 765827108, 696926861, 432442461, 99227490, 677254696, 977152834, 254338962, 749229, 50141898, 601955169, 348035003, 907927559, 842497506, 45669545, 403972998, 382345180, 862320111, 71458826, 499357965, 368848352, 383206665, 400750628, 904964744, 458211660, 35208087, 41514642, 806921399, 956918911, 74517698, 775151423, 195708998, 464305048, 586319253, 695990456, 272191302, 934759869, 838841552, 886860995, 953088139, 981036412, 643019348, 644187430, 475176369, 709522978, 435562650, 393905129, 115301629, 42461115, 995806369, 393742457, 233957003, 634294668, 671256724, 581855273, 197487355, 378455300, 268445185, 612965455, 601983783, 250847145, 407427879, 47661763, 807203944, 187607103, 133019848, 322902794, 687613475, 781621001, 264447509, 679595511, 557202808, 725016213, 421550471, 46086906, 973832923, 131872133, 48262013, 81154059, 931388246, 2488276, 681210857, 707861157, 789428928, 746159608, 685680822, 267915538, 404486747, 338854071, 613194767, 876993837, 987763822, 149341488, 940652119, 536766406, 252688994, 638579902, 359114209, 77828797, 543814004, 198429455, 965602927, 866585787, 535373446, 85523636, 667471333, 803469703, 357999071, 465318218, 620582637, 599432336, 129743687, 960762026, 856207448, 32984659, 176281546, 779461689, 768350350, 50367821, 89564945, 366021990, 164097647, 459402427, 139250993, 593196199, 965957450, 751415505, 535381840, 419969016, 194880719, 576035025, 167649765, 67748459, 779983033, 128373536, 570744043, 549446195, 143228318, 541980313, 464333185, 243137620, 110154564, 179875796, 164202130, 97802556, 823758519, 432651005, 196302407, 66565107, 196458440, 3201610, 446658, 535286357, 746070465, 10814587, 108414447, 722166439, 970021076, 253809874, 310574235, 5822878, 600347458, 554357879, 834416065, 935189980, 963486683, 485321472, 98042754, 651700002, 453339055, 347938737, 173925671, 468474463, 809232005, 191643914, 566399626, 162758840, 670276583, 827265964, 174004048, 433062554, 808524482, 222513836, 532167290, 360564496, 769928691, 797620197, 824155065, 388777, 71007442, 506883838, 563291030, 352031059, 824803229, 539282210, 193164515, 189512352, 837262768, 210246031, 17678486, 519941500, 811001622, 142452300, 248610074, 174527128, 217949010, 796613211, 887308530, 377110042, 241206706, 273387813, 838818424, 657687027, 224802816, 24896262, 852620075, 939196582, 285549434, 890029624, 53042820, 779957626, 101248220, 732155084, 896906221, 695790986, 665447874, 572694482, 480813741, 784242740, 301161205, 300810236, 28243374, 111453978, 445469049, 336530590, 855976067, 895346461, 288524683, 661445371, 276611686, 687649606, 923840952, 6698953, 96276914, 197355023, 209849241, 330677273, 856768813, 362695948, 893284970, 444728750, 726145181, 244881883, 281009951, 529018553, 935827323, 363059764, 825464094, 82061511, 70054430, 811640504, 640852654, 964360175, 626407045, 75449007, 958103008, 114716958, 867395283, 325845736, 191897746, 498556300, 747992850, 670180491, 511570331, 167025985, 4385650, 281023033, 78938448, 732289270, 994676831, 460178875, 585075749, 659640600, 473123211, 384011986, 494854497, 259455661, 70597317, 458415606, 863102639, 178635756, 134953631, 924014673, 715871521, 429243165, 693546101, 146417511, 837923242, 719275835, 216959381, 216732424, 707086543, 262559105, 752130810, 303886466, 529916472, 938437581, 165746988, 576115151, 193914653, 217564832, 547535259, 169776360, 401674725, 422530721, 180491859, 938144888, 40035954, 279832950, 662235723, 716073403, 359986749, 859131963, 121745326, 461257090, 609718101, 414827292, 86103216, 2681433, 149307394, 806800296, 993341736, 938747282, 641504171, 757851639, 473947441, 685471928, 235973887, 277425662, 514714668, 653746228, 505796036, 170522441, 748720104, 214176378, 862963405, 253934875, 372259462, 496271067, 149208016, 255990068, 35620838, 408441115, 304505441, 862918157, 433751626, 261059379, 215878209, 669305764, 763825600, 529695460, 174476643, 143751394, 912127531, 722647815, 649758036, 653654754, 140650120, 555947591, 427106504, 838007690, 377297397, 284327015, 722050673, 283098430, 854243356, 488305417, 74461752, 15010803, 725149420, 614445485, 959550012, 76873762, 742883454, 43823524, 809713026, 234643734, 69028747, 26033435, 285046044, 400500155, 456863249, 316304521, 523267711, 711962542, 996479151, 947249260, 2216268, 111570039, 906586131, 876437542, 84906249, 432807043, 846820701, 515498573, 952787021, 63638955, 714526015, 863238254, 155796602, 16522862, 602024414, 6332892, 219382169, 924639934, 238682351, 950453473, 535559040, 52429990, 199399202, 482815644, 697929640, 117656527, 133150630, 770878826, 787131145, 576732310, 135378759, 588414052, 752207234, 50392475, 767022377, 594001584, 997585870, 346599472, 610548899, 983784705, 343144743, 492481682, 758491243, 778390804, 262456915, 855390828, 88043154, 592118165, 276571930, 824870295, 972054120, 682425755, 570866261, 239094726, 886034404, 593868826, 885582334, 934465191, 672727839, 600989338, 491151662, 238242567, 821520239, 705578188, 474024065, 253038307, 286323487, 215983593, 877677357, 49295443, 119657665, 682163618, 377923045, 677334500, 721064768, 135248077, 326163360, 788156832, 319761500, 796904155, 143353188, 603461863, 409152673, 736490702, 973555810, 753649814, 43547228, 170430754, 598836839, 670437507, 250924187, 293012218, 609078557, 352479657, 386028718, 411826614, 696411471, 269150518, 712451467, 987828344, 516659756, 420115960, 584779015, 687929523, 497758719, 215033438, 654319988, 679851583, 939875904, 306599669, 775585536, 92505780, 584977696, 668331137, 248952992, 531604760, 35985106, 123965089, 9470483, 482485115, 561383165, 573724953, 92681107, 545913429, 66804044, 315875511, 700968797, 829397608, 549648691, 323356577, 941649790, 371983855, 111122625, 570714476, 44331211, 54554824, 679996420, 634520679, 672318168, 741719323, 190954241, 915024030, 951948173, 109417503, 64965207, 725050789, 860977465, 38444411, 327028150, 682829078, 85029570, 356109546, 662412516, 546218886, 495527633, 159425444, 396824883, 787336129, 837697965, 228290379, 444542543, 63733047, 614025845, 738964111, 81474850, 957654637, 630111012, 248201054, 484882594, 912847904, 188791526, 995403366, 100481323, 173468099, 564385354, 421106755, 288796411, 52197514, 583899222, 963013876, 976506220, 300338080, 606268824, 172169165, 670422827, 325918558, 289245738, 461929082, 975983339, 929240235, 651476200, 868260105, 274781169, 119251766, 971397026, 173902595, 495699857, 552992311, 674064163, 815212002, 812927258, 785977279, 82448657, 275482542, 139194238, 273897708, 220177990, 903120102, 545055358, 786863883, 618417053, 418900585, 979721531, 626913285, 58050742, 806349324, 985735515, 439829172, 485513827, 300930458, 444166664, 954433827, 178599027, 596160530, 397893721, 907701552, 826671380, 165906512, 955862217, 881910640, 865128420, 572795532, 565103470, 509704708, 212909438, 864117140, 963886601, 673381742, 317764852, 451412512, 489623601, 801502227, 309719431, 267295633, 385583903, 531563988, 835819410, 795829143, 960071238, 575655498, 508730252, 526663767, 789443226, 221193743, 902525043, 195640753, 125712797, 990467904, 507683374, 850882115, 964995216, 550324955, 248286543, 779951988, 220389794, 767268915, 611625991, 772918214, 650068458, 406270936, 602323631, 855189994, 693997687, 50673117, 834282228, 8753233, 283100408, 78029415, 898128398, 304633674, 358473901, 57671675, 749067650, 910397244, 448649256, 525099093, 139507871, 923022332, 529483924, 67074431, 130802898, 65349084, 302670392, 327039423, 978233221, 147007938, 817929485, 516899116, 728003903, 300930476, 216333745, 864173842, 205616293, 139125181, 710710067, 838627828, 516540334, 503517745, 372343184, 172057950, 149035861, 587931537, 164109657, 242511342, 412462730, 86622825, 283744303, 692370883, 289422107, 613269068, 514398255, 155067362, 604172565, 917274572, 818422869, 993423004, 763699999, 757748318, 101029667, 856217183, 213630193, 469392143, 571518168, 265022416, 900028283, 732078412, 70567897, 194271437, 897569702, 537905845, 129538105, 363834821, 776695001, 359440608, 179731329, 677420254, 45235722, 471542153, 395771141, 847744685, 162347048, 903629513, 644645020, 622104177, 774417672, 396141822, 610075265, 939968385, 121637040, 833545718, 919029984, 77610459, 964490234, 721924959, 32319928, 120229011, 490902809, 35517493, 640177779, 15121853, 954000294, 308599485, 406475164, 74840343, 870300643, 160422124, 186036411, 965436221, 697753632, 810078601, 302595334, 352013999, 971605423, 338971933, 950021383, 74876201, 959943537, 743915562, 793390837, 648922537, 551448333, 37088447, 113499323, 668322968, 426594033, 387066623, 180772673, 475630157, 338238578, 692314349, 845103411, 375885404, 250092144, 566026469, 341773124, 869501419, 630825638, 24110724, 615982710, 540370913, 598589888, 682972503, 403228289, 826871596, 265852877, 330266945, 893639800, 835257865, 304282458, 185741033, 38504583, 750995036, 687124971, 328210072, 234899376, 956070838, 582697103, 587748946, 127391936, 682869259, 19715392, 373409659, 586664469, 905797514, 401841322, 56334065, 938861306, 768419381, 934563527, 611490014, 506837974, 451529935, 50300541, 990993227, 768793350, 532157092, 196197824, 352337641, 423946703, 416925199, 585833590, 368833582, 881713229, 292992520, 662877758, 59080594, 25746956, 845002585, 924958928, 317144121, 176969397, 247228579, 173168645, 791111055, 189408174, 661765805, 105345267, 410741195, 545984664, 256921855, 655544555, 295381500, 742983089, 336911528, 154187345, 912819488, 349368157, 97690182, 96285936, 74464974, 145489168, 260159897, 690891866, 463940099, 950826241, 804035758, 789185726, 583067834, 511545513, 173198802, 886685794, 681522156, 213770927, 193877128, 647528509, 255150220, 421034243, 970894556, 461104050, 854672675, 373231146, 350908572, 771058363, 551682333, 277530860, 705279888, 952861901, 1211247, 470239554, 277858274, 943974561, 914261766, 931077601, 927309949, 849511488, 207458701, 776004679, 257440861, 962418285, 907641543, 245571629, 135753935, 529259158, 421663170, 71919489, 614027682, 348106639, 630803740, 432913598, 160097566, 219457023, 776508056, 291697076, 259424745, 768623679, 216655972, 708859358, 530682078, 987316804, 404289670, 595771990, 273249854, 149508777, 71203155, 713398475, 456081375, 303563851, 568499333, 512672065, 126334413, 526460970, 107472442, 282244778, 286699057, 493932218, 638782210, 581816903, 85489105, 586774856, 61015758, 175092101, 610242223, 747420776, 433804131, 704111182, 877148573, 828413359, 878855602, 236053006, 528097269, 549830212, 40446500, 968171859, 520288333, 364535660, 670637272, 942580850, 921544501, 933220856, 81463433, 43185921, 598808143, 991247398, 675616963, 121981235, 544714909, 139811264, 41023675, 761625127, 68785290, 807462665, 197550272, 912354198, 336234010, 417973084, 235963409, 218269206, 482510992, 463526224, 566497699, 760142121, 354976953, 310435389, 426613866, 263680237, 593937351, 651363402, 262293544, 630005736, 786703585, 106299577, 795230207, 194539670, 685159617, 401609024, 181881831, 352555717, 922716031, 570858267, 806242878, 812129441, 222107408, 360697000, 558054193, 21436340, 948919304, 697060931, 989922595, 681676498, 348869101, 441978495, 334004427, 520438573, 785080058, 426714772, 998594121, 801715878, 972879838, 499765065, 532975907, 195758070, 524827730, 54312099, 916014577, 283165590, 632632405, 387395759, 324287623, 54824509, 573536864, 57353798, 209875643, 426084184, 925087136, 42692571, 6650096, 306463962, 34446374, 767565696, 178681459, 333265872, 91522023, 216598488, 472146999, 582102230, 598610788, 182048444, 508068765, 145737535, 704528729, 870495174, 934776368, 329614827, 23012401, 965551426, 897220575, 374105702, 320263014, 274295201, 230639616, 188839359, 890154924, 313160252, 636826981, 131228866, 885295815, 664327081, 550235625, 375648927, 815746154, 464965031, 429421500, 539186954, 439885812, 511454366, 504433086, 555198486, 755623548, 393278516, 759572176, 607833230, 513895677, 877521004, 681219745, 343635221, 386343738, 977102889, 325262577, 17993467, 606414710, 839532889, 911345769, 71756176, 214775276, 730531370, 54906386, 630000297, 618227693, 813516432, 363456354, 308104732, 321109476, 509652459, 73006029, 663643709, 258951009, 339882378, 773251714, 21449291, 628476369, 273267766, 580747328, 332830190, 94694005, 42625129, 695810238, 982658846, 452169270, 771035190, 80348571, 970848545, 943937097, 172033751, 404147378, 598904764, 700531095, 498868754, 990973349, 920066862, 697683496, 684534059, 423812465, 902806807, 119737717, 317774775, 806637443, 278977696, 656114106, 238512840, 972942001, 207219752, 334304093, 455306696, 610295863, 727306850, 808936321, 570495328, 673996006, 461035961, 35419530, 666694411, 8915842, 247010638, 462682664, 185861822, 518878490, 561311016, 677364809, 602499003, 267734192, 295464341, 932361458, 432406011, 152050684, 810656616, 906665410, 373706812, 706021905, 472200363, 551936608, 738440243, 718917302, 879742445, 145664089, 302646953, 678778845, 669414652, 128470741, 810504842, 836406042, 275671104, 677222252, 476771535, 75605489, 456514787, 659976885, 897186774, 159830068, 252165668, 661463448, 833738531, 748408836, 967689765, 160996808, 258894979, 134902748, 141406993, 999549179, 295680690, 37364322, 461802718, 613307824, 25915497, 807742944, 969000624, 598802119, 955333451, 401378382, 996925028, 625023668, 63687356, 143548413, 123022123, 939817474, 120579160, 995315922, 825854458, 40040733, 177297158, 359523621, 930324004, 311243667, 273253182, 500240862, 415359577, 343957461, 229955628, 741653321, 14852651, 966344628, 271824675, 469693809, 5149787, 364877273, 301276125, 333402205, 193756479, 419268118, 831962580, 306005446, 623331456, 833451008, 999753943, 783636348, 502851451, 599279850, 157673463, 841647244, 390116362, 597113055, 820433541, 577626231, 478294830, 862025047, 880576630, 712888600, 956629282, 560666556, 488399244, 630842028, 416202879, 514763102, 346993185, 860569085, 15159589, 251576652, 512544842, 91277033, 452746644, 144055838, 796549630, 792218317, 921367904, 22283631, 83511829, 460262265, 92890194, 407751621, 926248355, 656973959, 224305582, 708462908, 54249591, 141249158, 542920927, 372844671, 726343485, 120182961, 253579215, 835188894, 804982035, 852554602, 297387066, 431489385, 940123946, 77480950, 150153886, 422171524, 860915944, 326571987, 944674406, 538880698, 843894316, 839228755, 179771471, 296114554, 790843952, 192161924, 31965220, 549902800, 960419534, 631810756, 150561352, 932490722, 19333608, 542801445, 567997712, 453003730, 637026843, 941564233, 937717388, 939985904, 489597812, 205505017, 102309919, 27295311, 273362, 272563062, 484149234, 818311710, 223959504, 809354207, 804119995, 246172532, 265869025, 99133031, 374921714, 163207745, 489591905, 810750399, 607156417, 849954472, 973654990, 948819596, 625398874, 662690282, 402685107, 235415646, 418858014, 138180681, 936895810, 570176381, 26083764, 203925185, 538110543, 876355868, 883587553, 134908497, 719379389, 667022154, 486425006, 335408331, 788308144, 894059036, 51527537, 498602301, 528500128, 57744710, 942133279, 647808629, 695337403, 935506697, 948444733, 608644392, 251504617, 657959214, 185749779, 478559906, 578700841, 528393427, 448473148, 438443714, 602311556, 322057259, 102347929, 708417538, 349451108, 254554389, 468121385, 759261194, 412764398, 96601336, 420736120, 403617916, 401094440, 102315181, 796367858, 623311337, 896211180, 625301335, 502546306, 130095747, 317807298, 94427687, 186827229, 413048933, 32955665, 737693023, 331576603, 52689892, 229298106, 961912845, 885781864, 736043641, 738400410, 236849640, 562291464, 935310324, 239501664, 804348972, 652386669, 963293609, 356835413, 388392649, 634534617, 472083001, 196854789, 858389750, 550345022, 351825780, 304032438, 682846558, 906068384, 724834434, 78777153, 632056677, 165576795, 484112060, 147354515, 109496742, 687073201, 359890602, 556864513, 280188803, 56653780, 446300063, 104382015, 237456354, 541009387, 713838788, 559202635, 263469117, 789593477, 2095614, 423359851, 950453795, 762299530, 140963918, 32780864, 679550611, 352996115, 635271416, 58865372, 418570133, 406790259, 775629350, 13259964, 474536354, 175188052, 298393001, 639074935, 886018249, 261709592, 433616958, 552521566, 87752439, 514838568, 444150628, 969129265, 887186703, 660814723, 395727927, 495380359, 281401758, 787853229, 685333935, 5961968, 157858285, 970260075, 792614898, 798099129, 394082473, 124930359, 224121619, 167368066, 59148776, 258492924, 828587897, 474657976, 805104696, 489979878, 625572930, 661453802, 458330439, 747234705, 909365899, 426254228, 191340513, 358761486, 622740553, 42717430, 13921711, 169843959, 182714393, 955482942, 119006396, 716859585, 988115266, 667505526, 886169039, 296305317, 981409067, 101433410, 811649487, 609937209, 414418039, 680080242, 350372501, 638963062, 195937516, 493895941, 370051303, 994620595, 582866158, 67403394, 773626884, 238950242, 87658721, 788673616, 262801302, 753992616, 186330807, 429591360, 586447961, 448015769, 820093601, 871257915, 867708937, 416456599, 115399936, 922531855, 887574762, 63219024, 267634563, 184444772, 219282774, 883528963, 306104732, 79757304, 723269864, 297381020, 120949259, 941404265, 203394324, 860655544, 346146867, 496518746, 58467521, 66174328, 997249750, 782614143, 816383203, 38962891, 158981961, 461683704, 604977094, 243240696, 27632052, 905949848, 180433771, 118575662, 712509222, 668803908, 356018628, 908780317, 415938424, 894253181, 522824388, 80097598, 889932597, 203372524, 188097818, 758252500, 454998072, 373499714, 835841273, 744212856, 533426439, 66467752, 193233673, 27000985, 632311651, 789177693, 486667041, 623283304, 20224792, 625800385, 292137521, 992011589, 516102356, 540288283, 349869252, 444212112, 942848737, 451648307, 801508809, 23958115, 562266820, 218460485, 892535071, 68588872, 516346239, 814389511, 363423269, 857324123, 872051618, 514039322, 714514153, 982754707, 256289202, 537596373, 698379334, 661911286, 943035873, 551689034, 840274948, 777004458, 686891791, 12294014, 25159363, 149301485, 181418948, 780010779, 240298898, 113084395, 119881372, 444567148, 837021901, 19233892, 146205200, 117441236, 502237451, 78226946, 227008585, 657617521, 963621185, 598565971, 942338263, 827492389, 331979260, 491224743, 381476224, 701307700, 685708526, 43686461, 869066266, 659059766, 225705045, 766069548, 595366506, 436958688, 726299501, 484768942, 392641774, 88385794, 121972007, 809398722, 166682363, 533760973, 136463117, 686012076, 78386700, 499915456, 65539718, 98193575, 288475792, 157783755, 123089510, 352585259, 566137124, 471321494, 915397211, 723292632, 742384780, 100172555, 2170546, 789949857, 231001010, 883483282, 147021419, 129163034, 955615962, 387446532, 275400542, 439929978, 498287771, 18013327, 99611627, 653282021, 191820948, 443190813, 905014679, 312684136, 691477968, 683742433, 544089261, 240820413, 858192038, 117341222, 769483562, 774823388, 713978978, 545639566, 1771860, 21811138, 938109714, 560636146, 89203414, 124310202, 107345839, 472314257, 963502926, 427625322, 85182965, 158548081, 274380448, 587819665, 481303508, 388112487, 898234900, 673045889, 172810915, 228946981, 375786282, 903074792, 170911985, 172980656, 87433783, 710485478, 483790135, 702623127, 625288684, 546255041, 736791130, 118382762, 456580340, 365918582, 904730345, 660301045, 619201000, 729474348, 420097430, 217085295, 850196933, 813856130, 830907803, 736863591, 979885141, 173441798, 624426868, 545662404, 660854329, 175739727, 491157904, 169381707, 82970671, 365028521, 366743118, 842638748, 264784950, 523184378, 974746210, 326158570, 569710445, 755728649, 337104683, 227400241, 150898954, 295795680, 355157612, 385401396, 111310571, 912497574, 452183070, 903040968, 217699069, 526987891, 806717032, 931053772, 248863603, 682794052, 171256474, 378549178, 615562593, 809762140, 805466618, 141825038, 526979985, 338416207, 360993164, 318430138, 66272017, 2766514, 999584573, 307485011, 853915777, 786610238, 951423816, 41149376, 455652602, 598588375, 36637626, 33805783, 286873857, 991912968, 249809541, 940893357, 419563656, 453104978, 629634667, 73726548, 689144132, 3998450, 987314851, 9662926, 91566174, 974443021, 251138294, 896671208, 829679653, 85905223, 790364296, 124254188, 738359941, 68919431, 295849133, 612580467, 141292897, 148015843, 77690465, 856183035, 647834414, 378746687, 446316372, 521083937, 111799567, 231818269, 772968068, 89902031, 702771150, 795982028, 721747455, 194195464, 707332576, 554480021, 209039795, 394631398, 878770138, 381916241, 499866439, 125480542, 802558199, 76703296, 98271946, 588347834, 231969734, 158962589, 388564173, 693812259, 172021812, 362975332, 187541013, 462933580, 896520962, 223083416, 673750726, 767872906, 235938610, 284939400, 968742952, 862992390, 863078473, 771316761, 90415195, 700643622, 194982208, 471712911, 127719718, 387325985, 109371523, 57078602, 495800335, 450892203, 65269250, 601824139, 981634218, 510886063, 122832505, 183225102, 330212607, 480805120, 644392610, 912032142, 996556912, 206657277, 687397090, 158278423, 693207487, 223352443, 507203382, 854214325, 100540844, 782739174, 302605993, 340127369, 938203229, 670839825, 443451717, 829138699, 259071, 709583895, 862050272, 930741611, 897273166, 75348557, 278248563, 928270259, 288247062, 280968733, 805342105, 309665265, 427246159, 4289700, 333239587, 703297452, 994589968, 249506791, 552727355, 87251505, 55599758, 881733228, 424056630, 560526125, 843870099, 594057085, 123566753, 499728536, 452326098, 373616585, 62833286, 323731511, 392520425, 651302492, 530391026, 543037763, 316036568, 287761227, 844675711, 540947202, 995114280, 628645434, 859758183, 465224867, 636030202, 1539441, 451491317, 227645732, 977024284, 759619546, 887551781, 464547107, 216822526, 404841888, 807658172, 558543551, 763924652, 63368742, 451222588, 611067056, 79540602, 655033263, 190443181, 288792060, 109838701, 396903152, 308162276, 270040632, 169578101, 737074394, 831780773, 240135821, 748388385, 167134710, 124064962, 228498825, 730392983, 816226864, 543878744, 963384194, 312536100, 741071998, 566621292, 820609066, 397815264, 425175324, 440811132, 995865224, 91678454, 216227569, 816004889, 829346862, 461100891, 720403097, 752741609, 257261186, 838934528, 557669742, 636588899, 690688240, 58809903, 841926599, 60418296, 404377303, 237087484, 660556860, 955232865, 612999528, 840103916, 156360668, 526373298, 160659228, 123318377, 949239724, 113341615, 827014106, 583009273, 202083140, 753956451, 353813457, 57595737, 389930087, 593790434, 691756113, 26630498, 439977053, 188394177, 553812535, 444789586, 131422042, 969035371, 583201273, 340878488, 700666180, 130789595, 350828448, 572366636, 631159150, 190433613, 503048782, 996551535, 647647110, 110879795, 612564742, 309859062, 411994558, 621321861, 230578455, 291249717, 108024663, 749181218, 528028734, 579667194, 208520026, 811710912, 124030938, 607506859, 362418936, 272726275, 865058886, 55555063, 668738689, 591363306, 776113029, 311918818, 181004298, 265645169, 979953227, 29142851, 716379920, 827603008, 190220883, 788025372, 396731733, 920209311, 689912336, 327584574, 309071470, 418687926, 152079856, 843816642, 240250397, 309806922, 662548623, 60869125, 94867079, 776922816, 414863324, 730990381, 149896807, 883511927, 436077063, 85710604, 249531086, 168200317, 205196849, 209846358, 911819191, 169821830, 140879863, 475783566, 514693215, 624120236, 695661517, 463147869, 258489213, 970384113, 80592558, 863185756, 338505938, 581081640, 560234890, 752068360, 794523358, 345585813, 799888553, 149712738, 656066943, 138607213, 832146481, 649289753, 88131706, 111498012, 99092792, 92153476, 226618152, 872827188, 605299938, 533288758, 195124375, 903617409, 720441389, 619921301, 653087829, 660384155, 808472452, 535093885, 61743370, 915598481, 677953198, 66708794, 907598526, 623010390, 259769456, 438109705, 935980436, 170690977, 113311683, 622077484, 461341263, 903452258, 903826930, 135166704, 361994604, 740321788, 697224732, 350080183, 627266168, 368807326, 549284997, 438268425, 917175813, 602660850, 996366802, 620550639, 785128439, 74574882, 422882265, 378646700, 513869969, 283937334, 613939238, 74065474, 142948436, 407366968, 431648652, 881294781, 797191104, 674591305, 900878810, 401130590, 766864304, 481897276, 198217441, 852136474, 481178773, 662399245, 837059521, 671171774, 641898469, 868847127, 695988179, 152971851, 505204311, 903862744, 887208251, 452303861, 255501246, 829599685, 743646673, 795763532, 933986916, 276961909, 460311086, 724342224, 60155044, 346446918, 95818779, 488116996, 503258131, 700308788, 250198895, 605871008, 293394331, 31788838, 914273586, 48992704, 746276682, 830494687, 950994197, 549651480, 169209092, 614357427, 623217976, 206909789, 660294311, 800761960, 803595244, 563212220, 877414205, 334824088, 129612967, 31319702, 517277614, 971450625, 40549884, 418302764, 975921886, 494110414, 428501681, 100458862, 297970288, 796975028, 931840328, 710854942, 943725745, 355498282, 437876873, 595898068, 590738419, 628468209, 413713772, 294104914, 608617142, 17330788, 501590819, 970269472, 812135352, 47996991, 791325981, 50813179, 480143653, 665919450, 542089691, 422259713, 20469006, 810631489, 816177254, 272800407, 196065156, 9864814, 347187840, 412773939, 752665877, 167342234, 711837372, 10372310, 913919197, 199000834, 52010775, 21149421, 404997467, 532338011, 368067294, 189821398, 626822515, 936094756, 72456398, 998090956, 846860488, 670190959, 732966308, 762177563, 984326850, 127068431, 861398365, 898026869, 456728101, 161028580, 609993830, 814329303, 721015200, 691288967, 400622132, 636913793, 5418253, 878347907, 75256556, 339631562, 128047869, 219939217, 856722242, 392341701, 198573721, 128296963, 946968941, 640177087, 572642068, 63010919, 361497801, 288897874, 191300965, 410933620, 630686982, 766283577, 289111996, 437001075, 984351013, 657759562, 38076518, 32386262, 198655624, 945199294, 264818333, 642138350, 858301119, 532791158, 114552945, 215469982, 975998634, 633206488, 211990855, 107059507, 353654794, 155786842, 815948486, 415376950, 476463705, 960592603, 867756672, 305946890, 739448470, 739530858, 706232997, 619705099, 677677380, 285712183, 903068449, 760852172, 792383952, 161195864, 184276951, 266531901, 949155693, 731257509, 631310392, 817272334, 346860929, 480940439, 512365216, 859283350, 151116933, 104391363, 185703611, 774436183, 179987559, 727207807, 62375412, 632745460, 610592494, 353952291, 708143009, 548785222, 741529982, 8126400, 53457455, 365889985, 33220315, 108885474, 192072112, 567479726, 446156043, 736307692, 551945514, 757136940, 193701970, 524017529, 272770802, 847563540, 137893944, 164772817, 73311874, 463184305, 605561995, 72460209, 299477051, 309359622, 67660247, 752632625, 406350412, 641578674, 380601277, 279381620, 222136007, 567401191, 102775792, 839912879, 817307586, 524336918, 203710404, 733260492, 309216013, 979709197, 839340849, 924511647, 731218291, 483077581, 652732288, 662441820, 135562132, 719477130, 967508955, 11081394, 79140850, 379680911, 545517760, 655357313, 541191762, 237786502, 551052556, 272953852, 303775637, 170764772, 553341236, 648308294, 368813375, 943813144, 942749452, 726434784, 368486001, 114342567, 891309178, 511066998, 816861374, 87881401, 277168568, 132347043, 779102686, 326733124, 318240520, 694561747, 819143510, 454555783, 456963001, 231010281, 671456290, 413680218, 55004740, 124299147, 763765718, 655623497, 30513945, 760016232, 776035128, 687033325, 639705659, 239878248, 209222146, 189347140, 761781249, 552031923, 35143196, 815872965, 429074409, 890259595, 712309485, 933780447, 948030009, 765830083, 489377762, 977210883, 228169112, 245726169, 78289682, 998239478, 43225300, 821924168, 117078931, 630627631, 695649483, 672114695, 818700928, 16605382, 435583074, 97567064, 30905827, 710450012, 401194320, 825686399, 707599091, 162068943, 88240498, 403348990, 402717876, 35577349, 52282356, 186402623, 496401056, 843877507, 94657396, 497655354, 97535851, 776779690, 789429817, 492947846, 652496805, 627858703, 164622770, 111093910, 796445609, 801664942, 704403607, 156835611, 366332183, 174390670, 161540643, 83571668, 238365638, 323406626, 974883043, 336159096, 532893127, 614079202, 137859971, 715910366, 43709408, 501887149, 741713207, 821882784, 315964741, 697600687, 232799126, 877210255, 429470291, 510677121, 223583435, 749593789, 649686131, 724585654, 478878889, 221702698, 754240087, 578353168, 351094952, 8947826, 305636452, 759739584, 644093734, 89857020, 951056098, 275115697, 332185559, 513376910, 992967798, 906221426, 788703245, 209969047, 222807489, 113338578, 41873753, 263367409, 91902892, 529577237, 657212092, 966339895, 777659357, 361452870, 220157222, 495100976, 58435367, 359263756, 903336137, 588770160, 945083277, 604725980, 330253763, 688294281, 418997820, 16746734, 102090671, 51718713, 125735780, 218541398, 908647834, 423141054, 553267784, 883171904, 856969963, 549224047, 757662839, 211670728, 553604472, 686555071, 490142339, 948371243, 977280039, 406374265, 422489130, 635153204, 799067464, 958923809, 263648636, 986388315, 341184045, 839384672, 754699667, 197895152, 613291260, 180145033, 882365979, 535607248, 298318195, 212058628, 721497066, 722051660, 220330170, 247858939, 742508154, 64571907, 581520866, 303972505, 543529071, 103478606, 945415427, 203174953, 290396436, 572046687, 715536963, 646509874, 159562010, 749890118, 847150617, 745380773, 874536993, 740888242, 582672159, 572525206, 223006034, 837007827, 933090002, 911627279, 502652088, 799430881, 627487933, 677280310, 175562453, 445714182, 221862512, 960820176, 613527486, 931489259, 466566184, 134319200, 466523228, 70940554, 565504657, 385480621, 291171862, 891220796, 353872983, 6472955, 381455450, 13374229, 635540518, 470105967, 232900844, 196707179, 719790938, 549061269, 793882793, 883460563, 635932393, 495007780, 886089547, 845503936, 431310449, 363660363, 973133937, 384868068, 550732572, 355239404, 163417121, 327193713, 223214408, 718091879, 881870883, 384689677, 101074665, 813385507, 659645981, 361465422, 657346814, 52882712, 207857782, 119633633, 397764051, 969311866, 415835287, 549409625, 927964416, 662168518, 670872118, 613048140, 682589623, 514378573, 327231281, 978860422, 321461298, 88208944, 31854494, 550849653, 454157907, 547896687, 469127023, 763372642, 596340589, 962881315, 858202250, 241885188, 592685193, 483497617, 268565483, 921386708, 381385138, 993970140, 147976534, 552230865, 352844518, 950516472, 347669413, 688088616, 810273864, 46075398, 848099773, 331613322, 551938035, 922406835, 777768177, 882798274, 486335911, 909292973, 256831147, 644994126, 150547995, 288370795, 323795663, 108742265, 453149073, 912532352, 15582072, 542098727, 800502675, 544882890, 26501794, 349426998, 49633702, 568923524, 491756306, 104857663, 462931562, 286692666, 477256230, 514175190, 787063840, 221154006, 261952541, 660711329, 397456899, 981818417, 530128147, 528257350, 963119957, 380377420, 686809808, 132144647, 528985910, 822294053, 616751510, 342510535, 542964752, 953736559, 313493164, 606887229, 911292, 661263553, 317923504, 150918173, 953725773, 362959048, 728509806, 653017803, 557664301, 394839285, 564024321, 704009062, 582571207, 210773563, 934715457, 217651160, 146271867, 175351431, 734103732, 619211915, 788609505, 966641330, 664196629, 88484452, 4375848, 264242203, 283978763, 83505158, 129465938, 995387596, 673405066, 911938491, 848086590, 312531131, 231829372, 534010781, 208109621, 934747745, 59758280, 861199006, 292364283, 422301545, 170556456, 982043871, 461717221, 923602512, 439408812, 554739754, 322796482, 602385737, 606130602, 803857160, 184414665, 331495691, 115086127, 473735814, 720760173, 865176005, 911883067, 739298005, 710288379, 824096197, 208072427, 882631896, 909755613, 158794979, 561655918, 239980500, 294709389, 859781803, 386790038, 236223300, 117115216, 133665300, 627007489, 862633710, 949048873, 305030016, 491724165, 27711678, 663042318, 856215328, 322408442, 240477405, 571620355, 570994377, 519959176, 222186849, 586598305, 196850282, 89750964, 256459655, 742976209, 26407404, 238815112, 726482896, 26355249, 310573384, 196809673, 532263838, 19124291, 794786340, 769165130, 41163052, 913648000, 799429256, 123697854, 897390823, 97875423, 185273922, 141443839, 219477736, 469243930, 995093812, 579215653, 65184158, 21448310, 193287709, 746956323, 24277780, 919064137, 910732439, 561660236, 830485783, 126349456, 434520385, 301911573, 536666991, 176665085, 400954491, 978235065, 371380724, 348013368, 259798936, 327489424, 111043722, 314249202, 222824710, 728307409, 270371251, 75183573, 154614057, 510711750, 782148192, 635853480, 301575301, 530572053, 345524638, 437031322, 752844285, 988264720, 305379142, 891520954, 768977588, 358878989, 389180951, 861964780, 798867116, 393911788, 21750507, 2233747, 531158231, 541881482, 442255072, 575213953, 828578790, 67894413, 256710500, 785265036, 403538256, 59202696, 989532536, 394166965, 837938694, 576886567, 617846895, 410323912, 807527372, 895741629, 386416813, 449271395, 373633647, 727394498, 347734284, 12223382, 287148315, 67155248, 669491060, 912542072, 888119566, 55675429, 17359237, 29359169, 778123732, 669850475, 784249755, 898534023, 747242469, 975754501, 355261389, 98103520, 38885553, 888991824, 567438991, 539767105, 741520318, 217905171, 938406910, 960444514, 991012863, 887743765, 935872850, 123954930, 277260410, 757880475, 622227102, 748936696, 119120740, 296073344, 890727352, 510793528, 72710488, 518483154, 388362322, 875867656, 934948443, 149838834, 473598381, 52607866, 197134941, 900372787, 918542323, 959804948, 887071515, 396721017, 126255377, 910945082, 75320725, 757075137, 738945772, 477074789, 73043753, 277156626, 242124511, 353796082, 405966230, 907579650, 559454138, 401850903, 289320501, 580367026, 956423402, 383334128, 158486392, 217962084, 100351542, 627266404, 30158315, 852741828, 38685779, 359487251, 177384403, 744300229, 648044924, 757211372, 608618902, 709949274, 774431650, 50030624, 882837771, 845662011, 884149917, 886509289, 828776883, 349835217, 304493295, 280532931, 937781840, 653830358, 761388380, 79857414, 466954147, 791394412, 161927485, 883185226, 637460453, 368855267, 895727304, 414455204, 511026749, 41992615, 751131197, 865454175, 915612067, 95439329, 956801634, 564580135, 493670196, 243576528, 592912467, 965327208, 722836392, 669703383, 808506599, 397074674, 776575936, 673595131, 260697013, 401493934, 965560807, 788173731, 921330088, 60084730, 420687211, 798036709, 210645326, 306179972, 134004315, 518908306, 34104910, 800684544, 784291119, 59398704, 917164084, 792699705, 301163631, 776747883, 757977528, 121460391, 473587570, 430795729, 965445788, 841403811, 258923773, 232207692, 573968501, 149786305, 29281179, 363984292, 869045797, 826023315, 741425895, 636061738, 546546035, 133785744, 859079739, 764042548, 802354412, 7432871, 924757157, 787578336, 130791650, 380832386, 824853418, 527345636, 702825644, 19195472, 311714088, 999987183, 386352721, 453561610, 101405884, 217794774, 554227798, 386223742, 741247177, 184234488, 773042155, 746730418, 201656162, 512238163, 860004682, 621676168, 612563329, 188960352, 561690139, 795381960, 580975369, 994515448, 651406105, 806319080, 393287282, 661901674, 222246555, 390430152, 173701513, 916012551, 691757183, 325832846, 127859073, 77872131, 415439568, 950209196, 107539137, 292216862, 159134497, 262734923, 842321712, 810558124, 123338743, 228572778, 73877527, 725207314, 449781771, 126136370, 493209802, 122191830, 461055221, 927307682, 942103589, 836864296, 812494051, 480006228, 574368423, 147487189, 200368795, 397629089, 749894799, 847407093, 526401691, 825137320, 343542092, 630964770, 149337816, 487677948, 323312911, 605057304, 49685560, 658159751, 135388919, 269778034, 335019398, 915906471, 615455978, 908037049, 370613706, 292456318, 95153823, 936746655, 664101642, 134551675, 786283958, 397480237, 489957991, 883429052, 58148192, 163724705, 556646778, 487127893, 873950753, 240118459, 76709311, 488294905, 857245484, 470151377, 457636272, 460342131, 18970678, 52579061, 365270712, 30121069, 69510073, 63464735, 675868929, 519290240, 372968085, 810208216, 35902803, 354531635, 718478917, 739384972, 895309457, 122291699, 149801531, 623433839, 109100382, 913795799, 579443123, 145554883, 67064978, 454360307, 761766713, 767821127, 245084073, 639831264, 633911214, 684592466, 662829613, 168689615, 514097300, 864575192, 127492807, 569210589, 200969789, 672989948, 157298037, 260121378, 372535162, 740500173, 614399997, 209756398, 437751939, 70216461, 919377953, 636868159, 611647266, 739038802, 669791722, 634968912, 523782817, 246466077, 781550689, 857862514, 631765108, 934618139, 134911091, 499986181, 332933853, 2388202, 904314823, 101576934, 268142918, 714357650, 500498285, 789553540, 869948508, 15119601, 349671566, 460592097, 731229268, 460440625, 504433141, 410121050, 206614040, 784817524, 280328026, 990661188, 71293396, 546741534, 916159385, 467920599, 479239690, 855221442, 734003225, 900522521, 448119365, 15952230, 884236467, 720282520, 95559146, 709555077, 38023111, 425258929, 667852763, 150857760, 543192919, 216650584, 996932464, 563404211, 387183590, 376064719, 675186704, 925467917, 518477309, 25254100, 87610164, 339483852, 950492746, 687035064, 95929345, 336516408, 552108397, 872071614, 287025798, 573827221, 349418062, 861236277, 610803084, 93914624, 807727386, 511962918, 118127131, 750516545, 504773742, 698088723, 254015423, 439580051, 865594893, 369591351, 505457839, 909161793, 125802968, 648238587, 620163057, 752240302, 208371000, 554672907, 908923113, 691208646, 680150642, 982569843, 272565607, 220474013, 289257773, 831036036, 478234772, 904839538, 883351484, 243935493, 435045332, 67885304, 599614988, 567628384, 692715970, 488119562, 195687829, 477744439, 89767695, 81160738, 541503588, 742909032, 532260643, 870210219, 994344898, 236901382, 400503978, 600668952, 960241804, 340633329, 107635009, 374601728, 19393327, 862434018, 119863094, 182997012, 837858699, 717506034, 413492772, 472221080, 194991705, 744556528, 144613995, 310138987, 565571184, 858022536, 943444627, 962158673, 595049979, 179220585, 704070887, 160237233, 477085377, 255927738, 150442171, 931070496, 597470447, 671667023, 168901479, 253160229, 570515721, 192871455, 284090318, 284265096, 549682217, 388105147, 656460894, 152054205, 983987071, 703815544, 660506749, 49522211, 721887506, 552806081, 789884098, 34727658, 389788065, 145263477, 34771746, 424316757, 429357439, 150740702, 245535506, 36428018, 458168723, 71055236, 997807635, 566315912, 988530862, 336961919, 358210582, 18710980, 922935910, 902878721, 617340446, 606578348, 484678172, 582865234, 352322852, 905830887, 491155124, 823949539, 614484020, 172925175, 838013959, 381286844, 498417285, 168637181, 887345322, 735240299, 582345698, 457925687, 868846067, 656646167, 142243954, 985856185, 36975115, 888408217, 289834120, 532180922, 201476790, 944240429, 697726890, 295191773, 227467691, 415246335, 297638632, 327213240, 460072257, 804704640, 472593394, 5825417, 335831791, 127094751, 428711710, 733865156, 665863183, 56962079, 486933019, 193477510, 260518214, 693371689, 359803458, 134240304, 779384689, 291819979, 555571219, 724491118, 581141362, 261844385, 84211219, 167317494, 38122087, 101820907, 527924199, 301706713, 485473338, 448804674, 866178514, 52851903, 201837489, 654858746, 338347881, 306030046, 193840302, 825206474, 816946438, 500184743, 783368635, 372282411, 759742073, 155954716, 246143493, 378156549, 645784700, 13130991, 627619075, 699521635, 831047652, 65852125, 771587822, 178952090, 667403659, 652980654, 453771103, 240094761, 742890135, 109387330, 222371791, 313122406, 646966903, 20906564, 716551824, 712746309, 430062404, 152985948, 281788563, 695030216, 467669674, 387625563, 996126282, 978729982, 452665999, 374883679, 472541987, 375163245, 450497146, 771431170, 141092259, 96379674, 467256840, 819347245, 861041536, 859687117, 700033481, 305807697, 272812389, 172375657, 737841018, 828387192, 255937049, 421873875, 896636096, 293298864, 351918724, 823009369, 55953731, 307992016, 560729600, 539316305, 178666582, 668618692, 98646235, 610126421, 180834089, 185732298, 628776400, 924030424, 838338208, 446179012, 776193139, 821389435, 930602686, 144030460, 215201776, 664099881, 416431864, 928219177, 162510839, 136836401, 285640077, 935767895, 324206298, 656075340, 105279057, 683178869, 594496694, 450830646, 390254356, 801278184, 751808522, 580262205, 230113826, 392279339, 468242630, 480415006, 250318474, 738328138, 133753276, 346787716, 311879760, 24608894, 957240224, 781887175, 446467482, 782342386, 636650002, 644789936, 203726165, 108914381, 945758806, 317018560, 652714399, 995639220, 556220212, 880645629, 728502911, 403173639, 898360330, 56535034, 977967672, 499834858, 72542345, 778317801, 124366767, 904716141, 268348120, 370777691, 196437409, 936929688, 114016085, 843899887, 59661756, 651590314, 220929887, 792559410, 851879828, 297591720, 356730489, 233982235, 786917250, 983595690, 105738170, 788904746, 945664792, 759281859, 996372862, 143414335, 918592811, 927251733, 301828457, 63832378, 942603838, 609820644, 641729645, 877658216, 308085303, 43050301, 989325505, 15934819, 193301295, 66937268, 10406700, 514701720, 697842162, 356037918, 770808883, 340000141, 135311152, 678476857, 621616277, 226187690, 584302387, 536275848, 26418234, 204105489, 52330170, 330072895, 757760144, 898340451, 465752402, 629717625, 267542437, 445510822, 218998901, 766472016, 142066030, 316962063, 770436254, 263121718, 273736303, 163356070, 905515281, 753343710, 375442443, 437077521, 496495687, 87545072, 988067686, 600908676, 214159275, 772083458, 392151623, 973480317, 174531099, 710167308, 307951561, 757743388, 470663190, 410846582, 788292846, 271745627, 18002451, 928439910, 668691736, 780072316, 971495577, 256400373, 176247816, 651359766, 683660846, 365925120, 178875674, 194658943, 995341230, 295527486, 826522741, 498912872, 375389259, 639513611, 951567016, 685452215, 7501372, 75516535, 412257324, 31071168, 577971849, 878056383, 117854684, 367777950, 768034361, 598135814, 242688966, 456085242, 402388950, 308967038, 440046966, 321870905, 577593041, 967025720, 618747494, 619891341, 312420017, 664054596, 868750614, 57854413, 95137461, 657263347, 262349609, 650300679, 109499647, 33022647, 530333413, 957413526, 485218136, 756583954, 461718628, 616234889, 589232521, 581795370, 901894202, 461965874, 831945404, 248305563, 370366146, 678715281, 676560097, 198375040, 726530850, 613156570, 657545512, 782013588, 433818643, 936307406, 206033208, 302670108, 592493566, 969417247, 224102638, 727992868, 511428770, 572711193, 577397067, 560429238, 230104301, 234128646, 251547439, 569232598, 797971996, 996454163, 17960039, 546436037, 266654814, 813071035, 918906513, 227917633, 164724075, 444941941, 486159419, 635296456, 394137620, 12748994, 575516436, 607037501, 179863956, 410644517, 258591978, 270515835, 407157429, 7383863, 965814940, 277073772, 868191176, 689697204, 396432714, 881213179, 782935872, 977666711, 534372662, 965101574, 698052880, 438766759, 692131586, 102298656, 902724614, 64260801, 179414425, 524887537, 934106762, 288058991, 515555007, 765891082, 681756677, 565498025, 958245480, 541111469, 10117908, 154463138, 500847302, 972364, 736757617, 259041070, 116335075, 440548069, 974112818, 728313003, 421926481, 160443765, 754814050, 568410958, 173201281, 512704946, 415315751, 74236558, 623015143, 188685048, 843035726, 238928128, 935375730, 350815928, 249602418, 377139337, 571527393, 878097337, 699794163, 939215234, 810302683, 867077880, 990366976, 34807494, 307856365, 566668604, 874199905, 153461405, 201656169, 131604790, 270179035, 340429448, 676511917, 872175211, 603280808, 288881522, 187476224, 974729139, 705501975, 53210750, 624682801, 598638862, 285769585, 916760939, 895448258, 559085289, 164795977, 810468188, 821712525, 797971200, 712276098, 14319315, 684362510, 510110255, 962549472, 870909151, 775812764, 649067005, 482978253, 641987026, 178051169, 946384181, 959691768, 256284477, 64294052, 70010655, 654071670, 555612518, 284420876, 611584860, 737256549, 682138336, 291778961, 447682923, 933038065, 584879617, 252676725, 220330386, 245438584, 312526589, 242559145, 733882255, 641792782, 948371526, 38372856, 175792530, 201276868, 765661535, 321604222, 859456329, 38448978, 58579696, 526744205, 137658291, 813631234, 391090646, 765596167, 240397108, 158882040, 687158248, 717161640, 269235096, 324046669, 434245208, 369474155, 525735041, 302841995, 418208960, 843231139, 307067664, 100711599, 679899728, 824404738, 602712641, 818037532, 76958739, 367922392, 637698158, 628898164, 503061710, 788455055, 319173801, 966191683, 806209192, 510490940, 667810117, 585807097, 816347595, 134832850, 789521893, 738410717, 478206829, 202198861, 776934115, 391851233, 945990646, 610241700, 526017195, 553111094, 458614957, 159999453, 197503075, 598454310, 268982470, 13396792, 76210763, 391811495, 59331291, 961069305, 291000519, 79797649, 379321932, 458409315, 586498475, 32237156, 253544517, 604644784, 352698893, 33466460, 128397866, 84591632, 610152661, 972917197, 685982841, 407047398, 363909724, 656792838, 810787801, 934844627, 414070322, 718318649, 575142248, 555199158, 22072846, 717413314, 786622069, 719560903, 752319422, 683977399, 789890958, 475394769, 12494347, 485631847, 299655377, 35778753, 716348505, 789926672, 527126937, 837134094, 193978135, 996551003, 570101275, 7841138, 494342942, 763539421, 525314304, 464604430, 7060903, 378451175, 220324036, 569221357, 978704384, 366355658, 270561088, 702743363, 623613256, 957692098, 793947793, 721914109, 82396540, 111300969, 70598115, 649545626, 60749743, 435791196, 234664822, 730946115, 117342043, 308965253, 973235974, 407705733, 943670816, 523753183, 30871659, 41351032, 142604362, 478085188, 938149430, 127520854, 186204953, 595193115, 39680129, 538968189, 289341308, 144766491, 102017032, 640463513, 666025780, 610991562, 8130091, 400660134, 754127841, 354415124, 404291690, 527047499, 49301586, 590101458, 972449123, 279635986, 291194383, 546493927, 939066593, 429487725, 872399237, 379111725, 93384623, 226825408, 397427851, 9596322, 298212332, 912730393, 127391045, 874617259, 100923266, 685445631, 347587579, 608929452, 216192910, 233165478, 109866122, 751247412, 23215909, 586222348, 205117872, 212442112, 253421247, 194483130, 28291936, 610676862, 77107076, 774261385, 999969534, 261230857, 347196699, 704840995, 42395833, 421532537, 961732049, 680426653, 774070243, 12386817, 736377291, 41017364, 323032148, 86378664, 512043129, 903586490, 610159057, 884027401, 51947878, 345033125, 720862599, 132352106, 231416941, 663360067, 279609073, 881358442, 37603902, 136930909, 169278725, 466701515, 274388184, 586038843, 620946077, 123349186, 497883839, 192980670, 795804368, 447642062, 564248023, 562623424, 870091907, 341325877, 891860700, 285200391, 188066336, 257831411, 195896642, 770488127, 146911855, 27352784, 190301928, 857403456, 373323595, 219028788, 27517442, 666561401, 950958246, 748225693, 780552380, 458273811, 358439601, 569625165, 738609774, 922625485, 958581705, 240168183, 737837597, 322724599, 800793027, 271158434, 728745190, 779002898, 243195892, 861811306, 571460005, 355245528, 651116615, 835324683, 414041801, 344852190, 886700336, 210587788, 999140936, 624231241, 110957245, 189745894, 711900592, 712590705, 686913959, 197156072, 405180266, 782182395, 779742160, 901805061, 188068627, 880971248, 51891339, 949468190, 485129883, 536192571, 656637463, 388133304, 925709740, 581303741, 218502684, 306765802, 69438499, 956069316, 506741836, 874728415, 485669893, 492784528, 479320785, 512064430, 21181732, 844800469, 778196692, 71155907, 814985890, 112133683, 863887248, 580161477, 187355586, 801113862, 590430279, 587005539, 25017876, 722036450, 777931451, 26265377, 487508416, 141029643, 484448533, 633759770, 677199394, 528916331, 603627912, 135710241, 572969117, 164856741, 262070882, 587535607, 266156223, 136275256, 973313797, 601214211, 955160138, 944591574, 134765261, 712073531, 888054435, 629141366, 291948342, 3472831, 529505077, 990092347, 258153046, 880594210, 554422360, 609017993, 441823940, 730361783, 638082907, 22982479, 388808421, 190075276, 623194197, 476647879, 51977957, 801917972, 259294178, 635975932, 225994177, 812751613, 73511054, 10384748, 321215716, 882737611, 9462059, 882961369, 609820269, 774763331, 595347323, 366791043, 167472883, 613015495, 603881869, 610339813, 147615465, 44589835, 730040366, 63074094, 470020303, 130902770, 402810439, 592346839, 504327990, 497705397, 879838371, 784745953, 405040745, 28531228, 625884273, 202403950, 35373710, 740178684, 477180456, 968802961, 364043969, 516847113, 85592324, 707527799, 706751410, 901481868, 72522841, 639974341, 788906206, 615794925, 8880624, 833961207, 946452682, 323621443, 703860596, 741598891, 155987152, 383232499, 291692448, 334527017, 311657264, 928134642, 538465429, 146179557, 505546368, 450125862, 933122707, 640359806, 204099097, 233820497, 24862116, 181687639, 45355096, 950419730, 405629676, 170976257, 588899275, 883529247, 22344905, 996820236, 283906693, 492578350, 164042544, 905730439, 462138497, 937745914, 126694129, 189191329, 661929751, 914972532, 478786998, 722778654, 125466743, 569487467, 529646018, 270815378, 983264373, 209995394, 459672602, 254581458, 829478238, 725500828, 356886710, 383225336, 403567727, 791770486, 107430562, 820507011, 599524720, 363368664, 486972586, 212797959, 243584123, 297182616, 347268338, 369623847, 308809369, 269612079, 320750987, 502543402, 43953442, 249941011, 949751701, 348695351, 906451067, 473153203, 776299366, 963824407, 896678266, 163165562, 961786505, 191899485, 63842725, 353798124, 860138338, 70813271, 649126846, 718135785, 531173832, 376551, 375388868, 439609514, 338387113, 575352627, 901901833, 853967432, 688025479, 132711550, 215189888, 800185032, 567106499, 779909380, 123924753, 676455212, 176304453, 870512254, 583193978, 76466762, 888295234, 382442413, 716162238, 8610800, 477368696, 286768668, 437527221, 265420282, 811616477, 324637747, 137264749, 893145168, 496074256, 420940472, 849301008, 136286701, 813834949, 503816593, 755016220, 539673923, 885909682, 85932578, 639096227, 214355545, 994187065, 241608691, 471646715, 887931715, 470408284, 185697376, 374616998, 718492062, 473510154, 578272650, 999834361, 896719494, 856168819, 45061071, 247323494, 248897060, 211924520, 183071433, 987944833, 844477146, 84739747, 574423453, 271687006, 809815658, 402583453, 633161532, 563706336, 615353141, 828261862, 550571968, 758189436, 227886391, 275193455, 100157889, 778234003, 748322611, 724434762, 458540265, 798725580, 592345040, 910984644, 619572359, 367413960, 330597467, 986866851, 871559106, 907416455, 762622571, 822177498, 631798314, 874668925, 839735475, 820983193, 751873995, 269478987, 322073278, 349271861, 270339518, 325293065, 602274046, 395997911, 407865489, 262424590, 215529374, 390488705, 806019090, 741628096, 782694749, 222749744, 369122762, 475119304, 807637095, 137338104, 418509382, 109721406, 839161715, 245503790, 913316106, 529696445, 160987381, 755174540, 664403805, 506677552, 921650837, 323108565, 417411536, 647363506, 274143311, 750056862, 790001962, 968486564, 605237584, 102201993, 809713536, 164437053, 687417500, 849557812, 545948846, 678674703, 278932401, 6918092, 579005667, 349352875, 565838776, 377763224, 606559358, 78437169, 457921675, 248888513, 386936840, 983443110, 4063754, 727850861, 278372235, 912638489, 551743408, 20090741, 966613824, 855539993, 614145159, 876488463, 824553596, 656569962, 66120889, 733870574, 973782071, 691101542, 559761376, 596296428, 579553544, 867700646, 862196586, 217016089, 815891058, 158523224, 937155725, 794887485, 364154557, 692352489, 396378187, 835099487, 838454049, 735284630, 496770360, 649907842, 31320500, 612841464, 675910987, 50205885, 73821948, 878630162, 532091273, 787743725, 471166935, 390643971, 536918634, 411733067, 635778281, 881441675, 222902532, 617000848, 23490124, 776065500, 538150313, 496212149, 698435592, 358665540, 960913113, 673925250, 603544474, 4959572, 366065473, 657489679, 626026794, 359296739, 462539298, 195345863, 355189878, 361875357, 804099352, 759320339, 792900014, 553507191, 352819975, 880938990, 725076051, 488976734, 27918088, 197614676, 33200102, 763176346, 363935980, 753448034, 594262111, 60828043, 728062780, 438258859, 346510882, 359708307, 915349300, 790814739, 587160083, 512078790, 537513663, 144979537, 865505725, 878259433, 819173934, 306040556, 551699463, 110634356, 935907812, 476626573, 728135428, 153018477, 859851371, 444175863, 456520545, 731372377, 100667793, 764970082, 847779225, 39232627, 916386408, 142170074, 752433909, 946888749, 589967451, 380629639, 262068888, 562366262, 899134921, 734854276, 47203343, 33235758, 701033083, 583692261, 518738374, 821771661, 170917934, 475545632, 10827000, 83903728, 827000744, 388224923, 378881512, 260075729, 312407158, 850791856, 356982719, 926314462, 682546344, 594933921, 183432962, 542634264, 293182604, 520623716, 661155513, 847860552, 60064434, 129648037, 883095294, 840151409, 717185097, 438085026, 640716462, 338701108, 724760554, 221236683, 49975012, 209980906, 964320310, 537281855, 300657539, 705599867, 576214468, 858008059, 684837178, 431890950, 266242056, 791077066, 86139474, 968547166, 93929277, 73903026, 873247058, 211237509, 948933633, 97313275, 156471471, 156195812, 533065676, 879025855, 765442455, 75263811, 14917530, 598880435, 309578866, 876875368, 518086493, 360445225, 372725387, 355995964, 167308009, 816380100, 410226415, 545975741, 11596662, 754688063, 982339790, 413870145, 122185786, 210618131, 917576896, 403537201, 342406270, 344037789, 947027171, 139222145, 399928314, 567933579, 372937876, 491944441, 350754469, 861838337, 505698952, 974688904, 507321266, 469916161, 710960626, 377437695, 997601050, 458217160, 467505678, 548080703, 652264870, 709472447, 240570054, 555730989, 716700229, 456345140, 558160065, 54225921, 560393536, 266233377, 844953830, 657944231, 566473576, 786832050, 465773208, 347584768, 814899933, 270184789, 159854693, 70924549, 964037299, 788370007, 825939974, 891372560, 848075490, 719105910, 691158970, 273157599, 915184192, 395831323, 213871679, 515297307, 815337133, 22951905, 107496558, 222208598, 510848518, 539467548, 291158711, 736664142, 314038330, 653072699, 996495000, 391521727, 327934919, 702709827, 571828044, 277946990, 84960961, 896648388, 931974867, 863797388, 12210923, 812497240, 105032477, 89985007, 78564304, 556762055, 138510167, 139536656, 923741819, 221615960, 707365849, 626596303, 846641, 210064003, 627169362, 911970605, 216570752, 693902578, 416042938, 209751607, 269737997, 852295719, 412749144, 275090529, 859435303, 38991556, 991294061, 492852639, 389595239, 366278485, 797300397, 561854198, 67966987, 456971379, 752703864, 890746112, 584609144, 807186312, 745104189, 617969324, 872052726, 253997476, 813919479, 868790462, 689886206, 572389277, 208755844, 994011150, 727636506, 278499944, 851347836, 167044299, 293734898, 956825263, 714523021, 783585574, 655831720, 106212024, 974754339, 308900102, 532350812, 526602021, 213984817, 921553945, 532106960, 599972247, 700016153, 308885342, 468173839, 812912256, 59583811, 334290120, 350684217, 196983789, 748707075, 912255904, 15443246, 937971092, 822428490, 859810106, 978565902, 770573356, 722999925, 971196807, 116314098, 31802479, 283006767, 96699880, 673863742, 698642333, 339733510, 131739668, 341748502, 545782183, 276600793, 959694456, 139212043, 649379470, 971902479, 580700004, 440517362, 47768160, 227695320, 853452964, 113510686, 38563739, 216683081, 643929684, 285518142, 562912655, 703139411, 366601261, 901936887, 703303693, 995603991, 45710680, 171039452, 838501261, 469514072, 486468899, 676101921, 280213057, 348567783, 4079998, 434969673, 305152566, 639148785, 486603449, 792126552, 382195620, 7319566, 74267223, 896452444, 251361974, 141089098, 696671065, 855680031, 976196970, 666842442, 638533162, 851484296, 869838328, 331217719, 959112626, 249799191, 673230230, 207203896, 63412688, 48607119, 410801296, 785609729, 912671797, 129782268, 25720480, 598056530, 806446463, 709797179, 886839954, 804920990, 2754095, 620221783, 292448301, 100767824, 33747730, 666182562, 700799054, 685715281, 606431223, 519931824, 826834483, 285052414, 92740613, 821755514, 808526209, 649777757, 84364030, 714919204, 965136805, 744753136, 122848413, 68524566, 299937457, 196650818, 515513830, 291937389, 586091769, 762410349, 668542901, 711877741, 699478732, 612076786, 786759108, 993783726, 740834952, 519112668, 184107406, 320294546, 257250095, 878952113, 105865000, 921152926, 825990301, 373452043, 284667329, 660768553, 96347146, 242580370, 892736978, 854049911, 55832872, 738805178, 999131027, 478464729, 973247015, 409303979, 537477462, 94133910, 26199849, 411598243, 855131236, 470280769, 394937156, 12704950, 63556812, 351581766, 769921056, 539880776, 636907560, 4821151, 311090772, 725817535, 481778787, 469580583, 544360258, 132466360, 331305815, 115080132, 188270412, 113721961, 163864476, 757926961, 331231551, 439128171, 425916308, 435549166, 529618696, 320059222, 851648305, 403737998, 877563729, 507895691, 152774399, 714367909, 182875281, 400263381, 946294726, 140818999, 170170842, 50269688, 719131833, 663913074, 68338545, 435462774, 618023833, 402581508, 505603739, 251836078, 923265683, 999822786, 348717869, 917555223, 372614190, 481756372, 637037413, 387095292, 97913949, 38491465, 407883443, 398674811, 403136150, 577739117, 225819343, 635279345, 353400944, 78091574, 29184080, 756238123, 518780154, 811104105, 562117039, 869133267, 533011326, 604439510, 273988040, 697134195, 886752860, 782226300, 661864060, 876678632, 842626109, 201623563, 512682538, 376472913, 666048515, 682763874, 812947994, 878374994, 754693877, 337492642, 934159197, 666191250, 113664860, 337489437, 763011534, 776088717, 276878739, 33999622, 174516056, 323119595, 101920265, 223904764, 67770313, 346483968, 207216866, 87467065, 605507897, 377369155, 787536791, 950155217, 315901113, 437346158, 644312127, 312022347, 445472361, 252822649, 417335901, 214344964, 425563225, 511401058, 839864888, 492066899, 110832418, 569941128, 423699003, 505674320, 479989995, 15448009, 751831208, 442146097, 46305793, 282361372, 605560672, 992619680, 8790253, 235156179, 75887068, 742199433, 918454676, 326772474, 613706758, 883650319, 646959262, 787036225, 844989357, 960303767, 133626961, 220205778, 371372871, 172835284, 677532641, 105538284, 387972456, 976171180, 988442753, 159883071, 933210879, 51913104, 875456011, 885254378, 116717762, 311929673, 598736631, 714071059, 394792736, 189835722, 859946094, 955517484, 567430702, 603976507, 474477093, 88981945, 982643699, 4672762, 995784080, 222286788, 766744098, 119597245, 256842706, 862253875, 670399767, 873633816, 545033465, 31779959, 529352301, 359192945, 688651050, 759655278, 362679416, 487365671, 317909358, 961086252, 235550135, 295182377, 863276550, 71541398, 385840959, 306965088, 63317983, 551548694, 595576502, 929511297, 143513523, 560374794, 840040880, 184002173, 56128326, 327737922, 446348909, 849995709, 665794467, 394549856, 666121013, 117260902, 329659928, 563985786, 138080886, 824943509, 304845476, 660901139, 811478520, 176757366, 618032086, 292708041, 521156851, 969131643, 783019939, 96005987, 226011296, 9155534, 419584844, 438076874, 153038377, 736575732, 160157331, 582305655, 764187908, 559595917, 733263173, 147469999, 534729470, 175870344, 581706332, 31407639, 737149590, 812950356, 63705689, 498732263, 942213672, 138613776, 147425592, 329046423, 379507102, 746623477, 205755272, 684775241, 340387201, 770549575, 767423163, 565950324, 389093325, 993408069, 612414817, 318815464, 208818707, 876666783, 648950819, 182086737, 89575221, 125786028, 800627706, 54182401, 767363951, 184995281, 24293548, 448913715, 399640729, 108656654, 526127648, 556845867, 11282769, 493970231, 365810476, 308677129, 993497328, 944383658, 942011531, 864234230, 404866642, 210767025, 225072958, 991022563, 788316711, 562421437, 831689009, 253084075, 4555766, 523353082, 253695448, 267349651, 330492246, 914810366, 71209315, 872565141, 328750605, 553752543, 976380244, 526991670, 143092931, 251014484, 342518217, 125295154, 654427442, 511119600, 460453245, 82717411, 896619656, 213626802, 764362914, 710743680, 961615757, 464785104, 132433702, 794579890, 188135697, 168316432, 757736042, 738555150, 131164039, 693056475, 306641329, 643558023, 987291572, 138042905, 590497194, 677132863, 230789332, 206940626, 768479144, 937111229, 306931555, 330765231, 59976762, 317688534, 278877002, 673178186, 455359187, 590397471, 150252162, 7831118, 605225676, 334803871, 876946581, 450021354, 219501320, 554359138, 717448378, 328813999, 848316579, 676187984, 756501199, 719563236, 194517457, 293069158, 23650785, 973241055, 914665615, 255127063, 411662607, 333547431, 157515123, 67399595, 229641175, 287475249, 461357938, 960672790, 218088253, 212957257, 599881906, 823041642, 242687108, 330692695, 863338848, 780464024, 984105034, 503286716, 333698825, 214924562, 702018166, 158502303, 517975303, 418858238, 369000869, 668223521, 595306717, 226405167, 970234187, 142200758, 741811193, 422011562, 338962407, 735909941, 704704395, 151248053, 911812613, 498805001, 273010992, 367883707, 255612294, 364299286, 423538754, 974484870, 318963887, 858815964, 311808432, 295657925, 301439654, 655760000, 641118082, 231997553, 115785071, 784720052, 176189388, 662558970, 672451012, 437556258, 885818501, 274060624, 501912870, 548700662, 844231988, 383046448, 995838821, 516901425, 765314321, 45937700, 717459685, 418688507, 825923604, 797795246, 107378783, 900147599, 79585847, 613115569, 461171792, 381465177, 395491030, 630588457, 997637140, 281968763, 175187083, 626511030, 196070666, 686529269, 205678675, 32323479, 567954883, 561326924, 528996461, 874427185, 652637279, 79254490, 188500783, 860014879, 958962076, 68934893, 229244688, 826580198, 15592540, 881521586, 8984295, 445299760, 282220266, 559544769, 518601731, 521945886, 426079554, 927764364, 152795834, 668371735, 119508006, 83788470, 132317993, 478725017, 85094505, 953046411, 746644289, 482623018, 676652072, 705761975, 497207426, 597473768, 711570428, 658596893, 708307213, 836999630, 705563100, 243746263, 147766240, 792684972, 813524214, 953063157, 269270260, 795455942, 772757748, 48641015, 516115979, 847600803, 377477207, 717718098, 671350818, 122534310, 962812318, 369744883, 852982630, 363168652, 393859648, 5509414, 725940647, 790909575, 803157461, 37103540, 226146560, 486889733, 125323459, 741022252, 516509770, 174354246, 381145783, 673679021, 314491062, 369255021, 530632681, 745303096, 839163887, 225083963, 53845047, 333873981, 819806364, 312804930, 231399892, 897145085, 547473991, 388301132, 531496549, 799346566, 63230990, 428493445, 729306163, 884595612, 172287890, 298753505, 722859934, 778637079, 704585127, 501200133, 490096595, 639537497, 733981400, 715610865, 226270154, 693600825, 280207702, 21665100, 726135415, 864704909, 280622911, 573189685, 829750085, 526950147, 133758849, 103398289, 446526685, 320659958, 923417287, 910416745, 2774804, 214833185, 113515060, 27439599, 475423287, 113886584, 198228096, 419352523, 416904595, 895166959, 351677316, 524620439, 695429652, 379472910, 269032851, 702773717, 97926391, 425053419, 746179303, 587005599, 255079370, 944325227, 540726867, 693744002, 909987355, 411048237, 254180465, 694051622, 728147556, 823185264, 41181497, 705102416, 632432010, 143628768, 685486548, 122401526, 992271099, 112074300, 781454918, 350411293, 83652950, 443107100, 121603557, 699383372, 525300958, 312297366, 953085848, 863494528, 943118806, 320720579, 973764389, 188778446, 619870529, 549441636, 55016496, 997034462, 482472114, 146304099, 92677793, 496147315, 837438660, 484172099, 185446036, 810324844, 892431164, 503308430, 588161243, 548847707, 948720549, 229380850, 885513530, 633252580, 590869059, 430577066, 593597268, 363606311, 480784146, 709537735, 410119907, 952851057, 575369061, 481863844, 374404189, 600603335, 89258047, 550601314, 850169213, 33427637, 600336493, 783563755, 474814473, 239919447, 896811562, 567159407, 180058166, 926318362, 592581549, 130423912, 682929618, 383921878, 75302368, 175875569, 266775133, 871889617, 248320773, 61672667, 295366164, 369760337, 588746476, 257409150, 57774210, 310566013, 189513619, 639648425, 268855558, 658392890, 384694261, 608496104, 38307741, 379073787, 194800450, 570148627, 44073480, 326775284, 300019584, 417684464, 439353244, 994363867, 293323217, 545047441, 223765773, 737970641, 26364581, 523601477, 775676507, 284465174, 999937562, 226470458, 122130382, 623834719, 386469727, 140106320, 997437587, 44470756, 235159326, 387806051, 91999373, 111967406, 892882023, 891038089, 194082042, 248162319, 738202678, 803449095, 300275580, 917334514, 318571309, 11067579, 273973771, 7778693, 769233552, 409819160, 228530372, 757269050, 465749000, 194394583, 442974036, 379176647, 553362305, 28679814, 368616016, 990357690, 347882475, 226945833, 364456847, 371848476, 317920082, 782856875, 476543678, 915949156, 986584200, 542947392, 965004340, 803644522, 919783055, 993403048, 73762196, 776790852, 926328899, 830597370, 774367212, 94152712, 9210042, 433814831, 40225957, 968165812, 487336188, 907840883, 885931161, 354400999, 985212614, 418199566, 900265838, 642149262, 103555583, 46497210, 599421683, 714105323, 796500339, 446980473, 855552989, 641246639, 173180807, 370208248, 387666465, 802396743, 302139536, 513221846, 15630988, 863620847, 545356493, 44525988, 746475254, 106229667, 420828135, 757123985, 857492182, 952496679, 161880718, 573795078, 182241927, 695441287, 990924944, 169366860, 663397280, 137679160, 316519941, 518766992, 270932403, 90378789, 678670794, 727684729, 396749272, 181113184, 118323329, 697233815, 737613471, 81058359, 462575088, 452628347, 503638720, 310806586, 436967111, 876207731, 844723443, 390152911, 807419853, 405883143, 411663147, 721270814, 430493514, 24343714, 865536840, 64555215, 860650888, 945164870, 2720959, 312828090, 568559199, 732559882, 20822479, 63927261, 847120586, 472941584, 981659648, 211074673, 315578500, 784307682, 834869734, 815164525, 913993554, 583533488, 556398271, 260150506, 892584147, 957997106, 222943457, 11927161, 977429913, 395939333, 436635312, 20917574, 123386309, 490167761, 863623792, 882755007, 130194285, 202288306, 178207677, 686525689, 822607927, 8133674, 572039493, 545101473, 61615512, 761416750, 271328616, 467981999, 864850589, 33208149, 306799482, 507788622, 234233829, 757243321, 91088181, 129180632, 725627143, 826049384, 334064371, 64712360, 578046951, 844640913, 648374111, 59780041, 529305139, 60073777, 259042929, 149311122, 655864759, 934306261, 356024558, 319674157, 186081142, 415493718, 21585018, 400487257, 70941995, 557854522, 266552932, 94722602, 779316998, 628986838, 39166078, 926118563, 220048867, 530888157, 225465931, 352817318, 652169191, 82368958, 24013479, 84412998, 561097752, 507389500, 991984981, 775765505, 458048028, 948326856, 727891682, 452164448, 410431161, 601306250, 498425941, 406824516, 287136374, 4065486, 570336637, 783153553, 653059435, 144767272, 117348323, 912284837, 966672962, 112749333, 810463283, 88986145, 647233700, 751092668, 675686255, 737325229, 763491790, 410563701, 653769647, 756650826, 869417631, 533570246, 621024307, 101221913, 798629465, 800304543, 27129210, 325982142, 734358841, 123458221, 505387384, 47962002, 954900617, 829706439, 267656728, 761471545, 126962153, 276504903, 73206328, 480752117, 734057964, 682511314, 707691086, 513851640, 622848554, 808690529, 861718802, 839917220, 969856363, 993146342, 496105875, 252355034, 993502530, 737227128, 15143444, 606579614, 534860138, 454023870, 595947392, 829000635, 843686017, 731599880, 88939077, 467654711, 127630988, 350312755, 601967802, 97393114, 400571239, 352616975, 542370201, 703446718, 300478932, 572733627, 934880095, 120000520, 502527056, 645539731, 624211535, 636190024, 805318227, 430637917, 875816828, 701226902, 278391620, 193622805, 414594389, 480921965, 155969988, 948307018, 833802462, 37656550, 534776976, 113653705, 295229486, 776339318, 395418750, 882886808, 729980775, 703778930, 13724585, 680660998, 931610295, 71021575, 250809298, 217483323, 248262216, 551356857, 536861130, 55267817, 537827318, 570911128, 286745233, 282624739, 905620052, 709416881, 935233287, 473906786, 367790645, 695255321, 383493659, 834440891, 89625448, 102878443, 582777883, 49304641, 490999497, 392351778, 11894370, 980408328, 165553224, 182842134, 961840826, 140146407, 120313054, 848017614, 687923003, 422023464, 878209942, 2769943, 1766028, 249718926, 990130836, 69207214, 539273022, 820091329, 834654324, 330710744, 677029111, 326468388, 512832726, 346895817, 215884219, 237033546, 972684946, 37761498, 258081861, 37740117, 47794371, 613678551, 177930103, 652522955, 134819081, 225079899, 4809048, 308957511, 101526192, 32818356, 581638000, 409519726, 855120794, 934507490, 242228346, 614609769, 483639142, 455392501, 176074851, 725759663, 666170013, 98785587, 967379221, 784122314, 445637175, 683825852, 666734503, 850985281, 801067138, 39211581, 462803606, 65591743, 874419627, 808507425, 521587806, 946096027, 565968967, 680333938, 6864633, 120325066, 137247593, 499908282, 397385449, 285396434, 485746337, 487845712, 778342604, 334400494, 784464098, 758433617, 458518671, 805424884, 159941429, 970222267, 836169701, 464169997, 952753586, 763231971, 653475660, 766366420, 951832681, 919453263, 493210280, 606992708, 447972254, 305969600, 675638147, 721740410, 873908893, 695967912, 308354116, 767390005, 392502069, 473155221, 965413583, 687277870, 23038315, 534999093, 542567275, 799659087, 231163995, 205093127, 30018822, 550186300, 23366389, 463379960, 81716872, 455290643, 137946304, 761949869, 769087415, 165389343, 738695224, 263003108, 947588561, 880834637, 153285946, 527180086, 112708418, 775511096, 813008890, 699266831, 167206283, 621315757, 990049771, 922098298, 164595706, 737957403, 331051488, 31969303, 638341940, 696489443, 370796197, 268865905, 902080576, 731074380, 54991287, 697144386, 851286387, 447120651, 231516007, 347836430, 919873569, 335339419, 92199506, 495109374, 101529686, 420869469, 88288954, 750004624, 231606357, 272473238, 853684780, 19661124, 414738889, 300326238, 405962189, 134746369, 875575150, 10660060, 880998108, 75555714, 958365924, 506485484, 274943549, 839091815, 255948682, 213140836, 79382250, 254623797, 368427476, 8974237, 799414820, 769659576, 895541091, 45041762, 221683177, 855644499, 459513751, 169087417, 373790404, 91401149, 600146641, 357858955, 525786182, 716297094, 615704037, 822923297, 420304957, 547849722, 204783207, 389779180, 484219472, 675110924, 121831266, 379494838, 420758530, 18881439, 592334727, 419393073, 864175089, 530131608, 922039031, 24280458, 848566342, 747700528, 911330309, 742872243, 520411171, 164667407, 434203253, 215401177, 759496974, 376656847, 584455901, 551480564, 205341919, 120530247, 814037550, 149730787, 944836678, 863452867, 742648620, 505717176, 596522339, 66088190, 963093300, 447284858, 432425327, 143398237, 606475325, 104109108, 969142509, 414536400, 324898646, 851411514, 497311198, 259629141, 780627408, 1909915, 662230901, 696407787, 220603254, 479622739, 891463842, 847297007, 395090129, 75903537, 651958547, 922414329, 321668793, 686813549, 280564504, 352024707, 440549924, 516904474, 724857036, 170957567, 476651191, 508398817, 576688146, 943523273, 11746091, 513710746, 359188318, 217503521, 523726063, 894701604, 749593543, 488040162, 282699727, 330211631, 438623529, 167982367, 87651605, 851357296, 546612581, 693775777, 474861418, 187935321, 907700928, 308895804, 642401441, 674420043, 983114993, 471544237, 640279443, 680421308, 589839286, 707010122, 765218124, 826237095, 524057781, 896350341, 162149681, 882749381, 73864903, 195801114, 110615316, 897264328, 745067112, 657537392, 560852266, 634337794, 337560761, 893579611, 368188036, 300182832, 641421337, 697016721, 941767281, 241220988, 515766449, 247070679, 329698837, 592286686, 104348197, 546227361, 634155051, 190116580, 813943111, 639902950, 868531112, 178021378, 2448280, 354904906, 804782883, 863690283, 343318360, 381654563, 504082070, 91902746, 123148687, 540951000, 630424881, 298663486, 591749666, 227645676, 690211186, 675834125, 877462241, 618069862, 161378001, 116296658, 543019483, 848816987, 424345466, 874893247, 379509284, 603480898, 802238757, 601823565, 752595555, 550713120, 637674732, 843784323, 742176862, 712179511, 283406199, 47948563, 674533945, 641600929, 772053066, 380257605, 284019266, 831604921, 456904246, 784735856, 571475525, 824173751, 792991498, 190537707, 272635303, 973320650, 283472404, 388861769, 370326799, 934049608, 301148831, 566105445, 351830806, 800391609, 310274634, 338338236, 23844802, 79990543, 52698991, 196927988, 702995024, 507010711, 693143364, 502752195, 836814330, 56696225, 400550063, 637616091, 179544174, 817741074, 759434773, 580666903, 293174662, 407469608, 51310453, 648846915, 659313551, 135017288, 267882643, 393484292, 857911933, 776428996, 299407667, 60948276, 924612038, 41804827, 670287755, 344388249, 505838339, 551803989, 826211050, 908755949, 448515952, 903953241, 756564178, 902949296, 883806580, 687260726, 213650934, 849181416, 604526745, 591191644, 572852655, 293025530, 136346898, 713776235, 154384447, 284548878, 843940035, 366946564, 415403598, 958827073, 997052400, 989794300, 773225865, 852768823, 595164725, 19152157, 889512700, 166163264, 25512221, 223515806, 169621595, 537337393, 313305329, 145114193, 328910071, 334699929, 798455684, 642150574, 413642078, 442604319, 990795298, 239023427, 425729731, 685718686, 272439018, 423771334, 377768400, 396497290, 446360628, 427756252, 790204582, 746511141, 936361879, 265236016, 116412745, 649124670, 710948965, 721631433, 490255544, 777872555, 898019819, 402859363, 500387538, 958123638, 463980439, 871487053, 136092929, 517622780, 304855921, 300593628, 708381587, 994671704, 988234501, 167138683, 1179255, 20854996, 232888751, 375657682, 542158955, 238145782, 817363739, 391328612, 823445815, 663406329, 955990594, 742481676, 457670654, 484902679, 501951815, 744344745, 397590930, 626509452, 417428563, 527257343, 552592557, 303621882, 6076450, 583849499, 457693551, 610819310, 580913565, 824468582, 550177748, 357623750, 317382870, 467366992, 777992700, 329539640, 287954426, 833292636, 127870171, 495122481, 740468222, 155146511, 676781797, 781706134, 204942367, 478370581, 280420376, 379932078, 890316968, 927421962, 906620313, 944940125, 293721997, 355603907, 942436763, 626144028, 19847359, 977880193, 880713753, 15647815, 999209718, 582115954, 173069346, 195006436, 244431226, 477109681, 72544408, 305296504, 952529038, 939462317, 101868540, 345069048, 660429392, 127425877, 248557860, 137213817, 641789160, 763061731, 865107577, 89387784, 878983574, 847286802, 893106399, 437437034, 650821692, 498106134, 31245637, 551489736, 992758659, 212139721, 230306804, 31960949, 622465855, 500503388, 352210238, 133051508, 324555984, 890136870, 508273031, 408930764, 477200699, 984043459, 323331882, 328685538, 198514383, 765127071, 968994572, 725917927, 467404717, 406549776, 310646654, 839249931, 85875958, 937590786, 520682692, 733644112, 479673111, 770290703, 185211688, 991789307, 466328798, 89522200, 768258648, 628337631, 881746144, 14306613, 690076360, 341729436, 94453669, 867485922, 615769893, 821430188, 385952105, 441002266, 651360109, 814401444, 317273371, 564932610, 9904579, 636164812, 25615686, 875653400, 580902448, 935284196, 572466500, 47999693, 528401066, 855324784, 431626156, 817202204, 514095597, 910827885, 918314679, 823170751, 694234807, 720910491, 249560667, 522303565, 561817999, 960685595, 855252438, 678052111, 860917951, 502261189, 238390129, 155704571, 454279051, 119093341, 864614103, 97222966, 571846938, 810556604, 279402942, 912171467, 230509960, 526208012, 369913871, 125045390, 760793005, 137086787, 571818670, 806974348, 385397841, 503521973, 387083047, 381272921, 938512996, 409128060, 854959831, 876940771, 593513045, 233599865, 854815404, 435059498, 813650105, 971638861, 901723598, 118541747, 77437649, 371805533, 679297158, 638122463, 648723168, 995745103, 560056710, 182170648, 557442012, 934884204, 724264539, 970467346, 468130245, 835854841, 865719074, 260951243, 509544356, 590600546, 733332866, 548285835, 910736513, 84776589, 62358096, 306530121, 628467337, 239605295, 687483537, 610703735, 786586042, 525290048, 294182103, 942080977, 840571418, 139439877, 33688697, 870049565, 206001236, 198189030, 961484305, 367564080, 12835874, 288475999, 793451322, 995502312, 264237994, 625376527, 227858208, 993168449, 449983177, 826104910, 710164359, 707669920, 518085462, 884336555, 638129314, 397826958, 594658354, 928662744, 618383946, 150541168, 26962846, 510537985, 16069100, 62301131, 514036619, 476465911, 943096391, 764722841, 798453292, 548829542, 68109785, 143301770, 731801154, 762742634, 735940665, 642042090, 597783996, 647814934, 752296191, 834262498, 877308013, 761342004, 368675859, 291536391, 494832052, 628768304, 727852766, 162663591, 654764636, 69873666, 78662978, 878252023, 51636135, 441401046, 361282855, 738983715, 895988464, 687045536, 381985180, 567957065, 759777637, 29023851, 439002304, 499762587, 34467163, 220579639, 763651762, 297286693, 942102078, 502445897, 156628071, 259537400, 524949388, 552082426, 732484205, 96568926, 926150953, 771014713, 709877763, 268834444, 50622949, 105528737, 602645414, 270026629, 363070916, 184885664, 196947132, 995422201, 409555980, 563326400, 615250596, 884349866, 55273276, 570114204, 708639151, 301617528, 361919408, 877761999, 485488199, 842780476, 354098388, 608327575, 7948085, 46905170, 552859770, 603940406, 245542218, 861058514, 815998066, 739445600, 335174988, 773725473, 627671940, 715983866, 677643406, 357027295, 996134379, 988529640, 778127967, 303111444, 997480693, 568034243, 818862023, 716296176, 8981061, 338899256, 768929532, 196985722, 256017845, 52211725, 295206094, 547165570, 566040167, 503803421, 38772505, 746121643, 368874696, 228927971, 683395165, 397329475, 872180635, 352460027, 52034686, 45070067, 862285100, 115395310, 634246436, 944832606, 712814127, 733833066, 470578886, 126987865, 238794888, 561922379, 407957982, 709695573, 194249951, 558831115, 919319431, 711876868, 895947690, 600835116, 5322988, 771669746, 108946135, 768789529, 934811615, 224434828, 675015152, 695905477, 158667252, 851556294, 727562378, 357200808, 779272218, 48693648, 833159280, 955183319, 260133758, 962127052, 245634628, 65063354, 715524785, 535640058, 365946214, 511763100, 789635766, 955254848, 270795199, 279525540, 34671354, 317180112, 463498051, 956222368, 126848066, 890613616, 746896027, 74709088, 889609898, 213811320, 921153176, 829892199, 25774578, 845016611, 755418628, 774366573, 897439926, 999428903, 599669258, 533488962, 134638949, 72295042, 846672132, 990439904, 277414610, 41841888, 882698041, 593502213, 887537486, 808125854, 295701474, 133020999, 48934516, 550210917, 741983553, 832064355, 128786693, 309774374, 475631480, 702556187, 82363731, 930160411, 464675278, 180458193, 669718794, 841857873, 854568131, 311504245, 46352171, 960994082, 912301090, 933537118, 36766416, 559374834, 291144027, 527290442, 756746865, 885803846, 65420366, 396986543, 893570454, 390077065, 607007079, 65611102, 342751071, 743106660, 845318831, 943040030, 538457020, 638291882, 325448626, 77277750, 984708381, 932058524, 720262387, 290178811, 121196777, 753441669, 199200141, 102188144, 201013307, 661347561, 854964016, 450620788, 449753326, 667452744, 100396848, 562249432, 646785167, 656846402, 945635932, 755476019, 595518649, 196766672, 704706081, 403232144, 728070619, 417534391, 604362616, 621011318, 298129831, 514768341, 324504756, 334204456, 908382228, 345896243, 681892937, 96725372, 28288478, 342786790, 100397862, 162655675, 641416292, 562959825, 825509928, 119556579, 372127030, 603959717, 996001552, 899812761, 254851180, 948148529, 641895253, 859743947, 198958135, 80355490, 605245603, 240513236, 561444151, 843384186, 279483816, 253933672, 78246128, 93711938, 838578905, 454021772, 66762912, 375577217, 630141134, 762731116, 204519107, 397220208, 331094898, 133518572, 292311009, 484583812, 826186558, 488721327, 661286417, 415474043, 63303186, 522908785, 69186072, 682719510, 998059750, 635525962, 511348349, 879627507, 236199437, 333331490, 348610128, 149110213, 684697173, 672248348, 146213189, 219857943, 530518287, 195171667, 948094442, 700656302, 170718530, 871470955, 688340224, 807928588, 617491667, 417113343, 746350863, 264813895, 758717987, 673937914, 894092010, 541353395, 58143360, 56557908, 697381065, 784953818, 583885161, 930338439, 752341986, 601298064, 39040913, 951768657, 938184116, 916150756, 720518849, 674392398, 39202618, 498614716, 837685014, 196882292, 937030580, 477486626, 848752837, 981723699, 795491108, 607295469, 556932478, 763713445, 340015113, 388586161, 958938279, 535430207, 254613699, 525829856, 496723323, 646256470, 91393119, 419285612, 794970929, 751057707, 145509369, 929210836, 360169722, 767901502, 68402804, 250243135, 327150889, 784370983, 955474392, 27652690, 587923691, 927009113, 352205253, 803056685, 422280206, 407348044, 956338869, 897536983, 327030657, 406725055, 103338775, 761523793, 648057883, 386379252, 920414609, 362055411, 840484549, 655893508, 761232802, 139633001, 685604954, 453668255, 211407301, 795084832, 833724703, 980624027, 929768624, 773211528, 821933096, 735034689, 938664953, 437342674, 505114605, 676900479, 545316816, 971720771, 376925451, 546493700, 822166138, 231335860, 997324937, 51089353, 710787365, 783290858, 29102606, 553151824, 326590362, 131082025, 434247805, 832141224, 579070929, 496767291, 330470199, 465321529, 656587313, 468108608, 76973069, 141069439, 944758752, 903978155, 284655185, 134626155, 149696455, 792546914, 350358812, 653737542, 832978923, 765561552, 516765659, 497824315, 980436814, 749914558, 92336473, 24135831, 240263779, 52445887, 761691225, 202495279, 263226630, 435657016, 985971715, 569184380, 10670315, 301504587, 953486251, 967877969, 580582297, 110492525, 700102901, 167067531, 120231867, 643977376, 838702292, 704747757, 839695866, 518982644, 853638102, 852584109, 515578729, 801176792, 662175091, 694233299, 138830241, 642920291, 3771778, 514875037, 225409844, 89165750, 254124568, 702050596, 168609599, 723336007, 943656729, 257717500, 715507424, 430273826, 963618412, 420328760, 251431713, 241402727, 87126518, 887171075, 914194041, 624022299, 697716124, 543370037, 426588274, 861937974, 291875948, 814449627, 119075357, 554537271, 609175964, 587437976, 66897890, 148011409, 127543800, 334028084, 839105441, 67216654, 961130750, 985685449, 348007111, 439755050, 605672068, 190596560, 559795213, 690630247, 898964185, 79085646, 304379390, 477499208, 798992675, 282557495, 832113545, 471861974, 304901143, 184258606, 975086745, 566155308, 728010165, 527325732, 669719618, 407921089, 389241315, 551104161, 539813563, 6506798, 258400318, 831877216, 246566730, 377031551, 243914036, 524770674, 696716466, 275284050, 3744158, 305972490, 348569725, 655733622, 226255609, 936640317, 305582424, 532352249, 538780239, 396963705, 746079824, 800621510, 985028541, 634956467, 999438714, 313214019, 210715275, 504734596, 522272488, 276193898, 339333252, 316159507, 827777538, 404511, 373412213, 624844419, 103363583, 622908077, 179301439, 549012827, 392506821, 665545683, 515207001, 62563746, 60927088, 974624914, 62539899, 602493548, 883975212, 321338858, 710470967, 218365254, 189244642, 702018159, 875354499, 825180266, 779666231, 988308612, 381075183, 892719287, 279942287, 556511052, 228622161, 315652142, 954219659, 742018849, 241680472, 529618305, 8933814, 794915293, 207702274, 595275272, 885422280, 254850412, 185504896, 915300609, 193917588, 160356309, 921692641, 40357060, 567892738, 232232689, 159263923, 245108324, 911791358, 465616485, 8296737, 725076321, 633415659, 695497019, 850750237, 703425692, 711323824, 391576335, 836214082, 186215638, 472505205, 881968389, 509828434, 150578706, 94533780, 465573745, 334367690, 328966707, 22061494, 86178716, 420770704, 115609362, 267060927, 83802503, 524101728, 40612967, 24520086, 4101101, 442973024, 178160811, 372755093, 228225013, 486192871, 620791447, 969813012, 853986445, 843592080, 627298019, 205054981, 508425718, 535200878, 766114139, 62776973, 869533654, 243704004, 841811692, 136867411, 73010518, 433487268, 165198298, 802559780, 986455328, 435742092, 110608922, 436189129, 397527781, 440574820, 849837114, 759026467, 440979039, 487904246, 848926378, 72013264, 629446951, 287486633, 564469920, 342319085, 941301495, 184170969, 11274716, 677361774, 295397427, 805672604, 752698059, 836435251, 926657751, 104413984, 24090721, 810595632, 218340693, 259296732, 265896322, 518604846, 938415160, 829356750, 277346667, 741957993, 567181608, 641411451, 467905144, 903309100, 275680565, 508752404, 144899734, 471454438, 36451896, 349865293, 13239527, 42962529, 946739010, 198783189, 790291755, 491176344, 390682005, 750465729, 971760660, 857225958, 229775687, 317718567, 329317953, 368233939, 111339297, 259308738, 971368358, 558059011, 622438081, 186337388, 899558844, 201742131, 236841628, 863128123, 441150365, 99257840, 853272183, 847355108, 633079057, 164862179, 844962371, 917628073, 200462954, 797936691, 282567297, 290539069, 869049780, 456795485, 420568615, 434560790, 876300997, 795065136, 437349548, 605178698, 256901016, 853964140, 490905702, 66295656, 439444905, 177198442, 898364849, 291518030, 28515732, 199503407, 229599556, 252539721, 106219886, 403868944, 881965300, 873168713, 72815588, 143999370, 2826093, 277280192, 561480991, 788991056, 442705751, 854922784, 529192545, 569536905, 289710788, 745306595, 136139293, 835603732, 126811268, 168564423, 937564167, 101090314, 951226330, 96135821, 816007059, 358609069, 778065673, 645462422, 500331020, 145082796, 714915509, 364177462, 332549510, 583144072, 922874642, 641312519, 515459533, 608030244, 144940595, 836424354, 907649413, 337251610, 875563838, 960302720, 53540678, 597334451, 281236972, 601827522, 218815975, 456579359, 99924523, 274332457, 798607558, 393024863, 155876937, 880212564, 515285757, 972515866, 240662088, 480314629, 638119683, 980236267, 277495537, 921179933, 165028445, 612591477, 641627511, 802763530, 789299235, 334409767, 467200516, 680248848, 362326768, 237048199, 820936738, 344498019, 502552077, 474588289, 755876997, 261309370, 718377667, 391489767, 528788049, 712477560, 671316714, 67575332, 370151912, 199200305, 712744074, 777806943, 974599348, 365620272, 874629263, 489240177, 9909076, 195817063, 138756879, 498032485, 914975855, 861837770, 932270905, 849957738, 280115650, 830347169, 419465764, 890683419, 852339798, 908768764, 105688457, 683319820, 556534531, 109332587, 400718170, 155910708, 47274964, 506130433, 205852542, 932773618, 160871180, 579686907, 744649635, 336196184, 514630580, 315864478, 227684599, 330868371, 837387613, 192528527, 414254607, 305676725, 74946339, 709967307, 702276239, 20913925, 73139724, 552283874, 280904536, 179369719, 788024167, 949693725, 840237145, 511620589, 426443482, 831940320, 297506106, 706304974, 968238058, 810547796, 212555071, 833120839, 57037685, 88788643, 469975793, 177567093, 251815856, 488609105, 637536492, 747421048, 86043301, 104907235, 259304280, 305332132, 800504653, 827505212, 235947912, 157035786, 762680689, 501627794, 641421845, 214520658, 330911620, 112348813, 486168408, 80908449, 146357047, 588603774, 922618833, 790777531, 328027076, 373440832, 876372212, 336677425, 442182997, 158577086, 872721279, 941490172, 192651100, 950121949, 920798984, 130388246, 863589845, 19446199, 327015466, 840746181, 431984306, 179483013, 755393712, 713851509, 48893701, 746018419, 883765073, 504331758, 772146176, 492272017, 820357695, 96557021, 181776954, 810717424, 849210412, 539462837, 143897315, 656963115, 718944886, 503637592, 848011186, 639542206, 91839929, 163567111, 766979571, 929706502, 530631158, 984312871, 323518456, 360147516, 652364881, 82667630, 701437760, 561343444, 884628159, 800309479, 114709057, 996311855, 191561700, 835505038, 785966849, 195355266, 335323656, 677539884, 813447989, 642591856, 440732280, 243592343, 539772141, 448568103, 368439, 926285248, 407496359, 465644514, 374977968, 654827506, 608940051, 696145267, 229953602, 671488569, 401866260, 955620428, 379557012, 178148842, 846984594, 661771272, 29992296, 795765512, 819535483, 401510753, 666044510, 107998653, 294570892, 236077416, 841667007, 450022919, 163798017, 226820088, 254389907, 62878284, 462315333, 316403723, 834036694, 982580324, 526159765, 443185818, 660846445, 655471346, 656236737, 388712220, 527999410, 503115688, 436033529, 386566699, 284855684, 411923746, 291591914, 976780907, 655086673, 415214020, 134176614, 344742464, 274113781, 764521887, 448455857, 338619148, 287736785, 162069939, 117767146, 275269128, 807980183, 677592470, 8904466, 745460311, 396784442, 658191692, 749474761, 708722704, 249625503, 825965333, 608221270, 638051186, 815263493, 133260362, 144562719, 19128252, 157197069, 54085982, 814875594, 918774832, 74595292, 254206875, 428777065, 197076641, 398703085, 754236479, 483148150, 297604206, 576962887, 268988626, 11444175, 788397289, 89084187, 46440800, 899715607, 353773910, 123897304, 177489192, 569151664, 446858813, 179152220, 647193939, 827142314, 542051267, 980309899, 361641513, 761723933, 376737494, 32352898, 920581336, 888733704, 754344285, 420471035, 242320418, 111758437, 156354479, 547979653, 925270587, 753842520, 836883444, 723807311, 323218780, 802348382, 397097667, 799371886, 494599852, 497658110, 160882593, 159581809, 925697188, 334721938, 778808286, 983803792, 776609535, 346172535, 918514437, 342048235, 32592503, 959538230, 195752510, 744200025, 394958806, 307067966, 353056174, 33357541, 938719452, 452487831, 953736525, 91538788, 835321933, 14662852, 443620109, 14095416, 144582334, 994428952, 221370093, 103816330, 98298082, 112446481, 600099800, 711657368, 795741820, 633351938, 726944813, 878378807, 816659384, 893894872, 170387843, 101248467, 780188561, 232870519, 100191210, 701316031, 934916654, 381443339, 271151078, 16061899, 555248202, 384163349, 243688415, 186707724, 181546269, 982881862, 793197865, 157356563, 294952851, 712296288, 512313225, 524785900, 509117492, 580503429, 54443948, 471755345, 231945366, 898195979, 577138597, 665437838, 542329524, 636620541, 800157571, 442215366, 763596409, 753082067, 547805195, 28688727, 805401858, 247541501, 994492692, 793923218, 237178686, 23781941, 892887311, 987643794, 512890155, 563210268, 711766615, 179719485, 212756355, 73742432, 382040913, 774234845, 205608438, 854970604, 164895028, 685227628, 372574990, 925276444, 625419536, 924633282, 760830483, 193763574, 322690107, 110547838, 390319102, 9764992, 666607406, 596902685, 704233813, 860078670, 276497234, 539034905, 496237162, 842637053, 419044945, 855505890, 433189403, 566312060, 757874013, 292867504, 505535174, 579310212, 629836768, 519980530, 740237456, 785080121, 182857255, 193003601, 306125131, 760482231, 221069619, 23281586, 50951787, 627041767, 394223034, 345040045, 522402810, 559968319, 967357821, 722768843, 308243634, 356074991, 138330983, 206517606, 504999298, 316690866, 781787854, 730038089, 443241546, 827104287, 887527553, 994389013, 123938452, 826720655, 875655865, 40096583, 35868985, 70578375, 413040676, 734511721, 595441334, 217820515, 488429076, 701007791, 373237357, 959452237, 823054378, 446916771, 794794712, 45757616, 324422755, 893130620, 929906956, 152967620, 319906422, 968499608, 242568569, 136420576, 519451491, 855656183, 209941780, 915420147, 659835020, 258855951, 614218773, 390749259, 809895336, 69838226, 978080798, 4451337, 229525206, 378006841, 235753620, 581779628, 599071430, 634992492, 237514092, 572161015, 861061659, 507824284, 288165143, 544004313, 267451446, 912100705, 94788648, 183437500, 753406036, 12432273, 684497887, 213046242, 264929465, 87924610, 400802719, 714474667, 383870118, 953745055, 773467227, 751995346, 835241369, 803242010, 75760351, 706632759, 914426041, 849689741, 626645148, 387408606, 522871455, 503465847, 1729239, 204875998, 724580790, 548482794, 855194613, 677692557, 382042476, 136310466, 100902360, 394146739, 559463761, 41107191, 619307704, 451782019, 722842261, 149202340, 527929095, 343327334, 920041714, 219151741, 317773804, 458774067, 685976648, 633156451, 777288513, 659875617, 620734796, 8115781, 558904445, 330699046, 297100803, 554252897, 339945449, 476136590, 882302308, 195207157, 752030133, 272891517, 328986697, 251616238, 664269252, 196420510, 805880467, 854818014, 210756638, 249295726, 428617938, 625638643, 730338466, 665259552, 913610988, 922224435, 935479998, 860773135, 995955771, 24363542, 344616096, 947868060, 480512930, 152612131, 622120017, 124009538, 502111162, 592556549, 131060674, 857640290, 874666726, 597017294, 215423175, 556002744, 335166160, 904169195, 903512268, 642377639, 212574978, 744202703, 934083146, 680193481, 861236406, 38755038, 625549379, 251133749, 522494355, 983260803, 307833018, 951707517, 7343783, 879548077, 326575680, 13266689, 618129471, 367182622, 761849392, 298946502, 74787955, 276543890, 128396197, 513046135, 680524730, 734006661, 792220202, 450212445, 893453299, 403043622, 403904202, 219848345, 157546738, 143047633, 520125776, 127098725, 862051562, 134306797, 259182772, 952689403, 756217931, 849226779, 861479970, 407907674, 278948920, 846587045, 967091984, 268524589, 640266995, 933732723, 534333384, 63235519, 373127757, 569866842, 536893168, 618479535, 529273212, 774455488, 418720659, 344864787, 639182936, 893706288, 370166368, 828943588, 183280054, 280052755, 143907082, 831798117, 51252617, 866280316, 29391423, 894713479, 47363760, 709241223, 178544838, 171614155, 836965301, 580863284, 692624323, 662495888, 175860559, 593046462, 312427681, 440879106, 160234840, 759852789, 475589953, 67835563, 223830146, 36253693, 857787674, 743318455, 842785511, 595012565, 537718550, 247268777, 688942075, 50901933, 408962850, 79257096, 903182629, 493630287, 82240673, 666667994, 515728885, 143243634, 124009221, 348078864, 900397983, 713628455, 752490658, 767118452, 120968954, 376516280, 362803549, 567928938, 131544933, 615274934, 189237423, 752629039, 779423227, 937898757, 431610733, 888481298, 777958954, 3772096, 997084290, 251486732, 267646194, 886407238, 400149833, 675847101, 289977692, 586440003, 965753275, 190138075, 473771493, 741250386, 853379567, 546504436, 385408901, 905068910, 514152059, 357123269, 766383861, 171671325, 731494758, 863186618, 800420383, 195468904, 707940452, 634343068, 184648244, 920607596, 180660510, 540353755, 524174021, 987969893, 660594493, 502504720, 239235074, 317492939, 600247330, 542988347, 993254229, 177307708, 679297616, 787255843, 368037692, 403728984, 862267268, 728021653, 436335289, 561946925, 294414990, 120604902, 216268433, 558629722, 308355883, 688752881, 742786498, 465575636, 455544983, 780087046, 319661645, 431726641, 405090230, 852955131, 493880700, 74595975, 170584942, 299050742, 518414702, 605125202, 935908407, 909598635, 81898604, 928657277, 685835291, 901735937, 412609179, 950570473, 738222487, 491394226, 304634203, 404540954, 228423653, 538899781, 267848758, 769219690, 696890279, 495687599, 698531125, 54264632, 67548286, 650572968, 985402864, 760108730, 593032848, 555231717, 949425112, 747102551, 494610245, 887570291, 691230408, 833036030, 115079861, 424798710, 125968155, 374783846, 151915334, 359222259, 845575540, 405534026, 670244493, 519851063, 951660848, 945236610, 54872024, 741906152, 44655901, 352336743, 586772229, 990520565, 966938820, 593727091, 889281087, 581663579, 169510, 747328881, 400448899, 479154834, 686325590, 459304478, 722066541, 335417196, 98275071, 361367558, 326683862, 173569818, 836694299, 219038141, 91650008, 953673022, 598888866, 364291302, 45150675, 690194250, 841648058, 520655873, 761978087, 789020790, 84838839, 155741394, 452635457, 187666921, 802402775, 975660920, 909167547, 769476319, 436769058, 669150326, 767354272, 475024577, 1240102, 667815512, 39408234, 377346150, 798680526, 926737793, 14628095, 691460568, 66239560, 885116470, 220468129, 946508311, 524054958, 811121729, 68017249, 938921694, 513449358, 330071777, 950474895, 953684618, 848714612, 957459069, 500039640, 128637637, 97127304, 100095193, 524635402, 850509084, 291688432, 660856444, 921667524, 248997293, 123121241, 510057096, 224626672, 521573178, 273462494, 452256140, 4055520, 390275419, 921264594, 422278561, 102047182, 20554424, 51293195, 245093644, 407149180, 925690102, 520245031, 919073486, 751701716, 135206552, 789303604, 87105066, 373680962, 789135409, 454036279, 627942981, 924865253, 312139381, 152771610, 49407893, 488882074, 587008901, 465960235, 265116692, 155758580, 30509290, 273337605, 189109861, 142854504, 49035427, 674270223, 349238696, 681997226, 6203812, 236039496, 4241982, 448518696, 181043515, 337989413, 469422763, 8746846, 404507295, 572142400, 521897837, 572711705, 52706405, 41200275, 829782735, 798684437, 153476329, 77204318, 384520567, 243417784, 765459794, 323189912, 748247311, 440456663, 955883508, 182914326, 744610157, 841448884, 376612938, 760561700, 652218625, 845134273, 54936426, 206011691, 370738980, 570651447, 746960097, 694717876, 279158420, 478964424, 692136995, 222525178, 819192097, 458784290, 367166537, 240148067, 583025415, 876173110, 905946779, 756825527, 760735350, 489436035, 670991439, 515957368, 365398856, 708070110, 713445500, 777624352, 897561217, 91129301, 728049700, 782302035, 998276014, 630413315, 683950393, 181443365, 796518034, 127543039, 806821145, 552317928, 423164292, 48893362, 212925868, 568109701, 479181840, 226400581, 358922000, 708316350, 963868441, 162647428, 345951633, 403125558, 253569382, 806938814, 274682382, 146101202, 876863834, 370207321, 538965902, 248123947, 150724922, 277452362, 169740630, 930282512, 391436449, 239357919, 308727784, 170868534, 747340543, 733369172, 229884628, 476981602, 243879274, 468470738, 780243521, 294536240, 902801220, 933012609, 908906117, 646633730, 917488309, 225841513, 854494839, 192084228, 231109777, 660040991, 522476308, 950017555, 390620771, 278533750, 992481517, 698504522, 509835189, 129087413, 633710917, 16933368, 753910721, 539931663, 20346082, 590571682, 294645497, 726375855, 216212909, 414015886, 32597803, 28668272, 446679320, 422154640, 270059626, 991070652, 730206614, 424632321, 882637673, 473703010, 649015504, 889191062, 347572214, 921661337, 651477777, 182399655, 317500126, 766906332, 668128116, 663392617, 957301072, 746148302, 852604785, 180017638, 731166389, 353106492, 908401599, 413236400, 812515656, 22411953, 766521031, 564514165, 722241718, 191764041, 115647844, 444433391, 32239772, 710675047, 169017470, 155364053, 902210281, 546095837, 917184986, 601233657, 27182138, 238360458, 964160462, 959276609, 771590866, 996640454, 905369934, 610244021, 699393057, 513606210, 883829028, 244178150, 519040379, 723129320, 470753376, 473528252, 879745059, 596595560, 397897423, 467492083, 921099332, 880769847, 271291500, 657414872, 454981422, 532480930, 314577755, 940795090, 765646340, 274724207, 314077446, 876069884, 751563425, 926995865, 257714606, 944861989, 113599099, 150005398, 971439806, 830793982, 39120374, 396450381, 378057811, 996148710, 611278782, 518656498, 649374468, 973899284, 977336521, 481414473, 366341789, 661000026, 194207183, 627034979, 96981609, 895049463, 334305899, 744419888, 455142153, 446588904, 679797473, 873160251, 653843571, 769966969, 832290286, 32902901, 868343108, 770515251, 230276019, 205951235, 195454041, 546286386, 204371028, 589218473, 895920105, 850783613, 761761197, 345638863, 318342676, 927633712, 753193876, 886211002, 510963519, 124885556, 884570341, 157638712, 590178653, 98945377, 179808775, 536235030, 937568974, 288712975, 948274886, 331881550, 634353857, 757393355, 673292867, 516125830, 31016642, 414063610, 744566339, 119299730, 257348501, 662277552, 677976210, 632514767, 714022595, 356463512, 445835172, 81112790, 60822693, 263284653, 279148857, 408619834, 365426834, 613869908, 518460288, 856929592, 835542313, 743906765, 689328836, 348966221, 178233141, 946484780, 83300550, 617207220, 424121271, 775408201, 948766486, 572270908, 665503795, 420516896, 568600027, 496372718, 59805556, 159753333, 439754766, 774779166, 665732821, 513252321, 165813046, 427552777, 501248545, 986746273, 614019304, 662789410, 433093032, 514183858, 595142926, 267506055, 743242572, 668053761, 122006443, 242475971, 260320454, 486761238, 696471514, 741174514, 208470595, 709524602, 745688379, 721395404, 905013656, 488037690, 961898348, 393301049, 957946703, 318273541, 356614873, 683240152, 86339491, 252242303, 94772817, 686975064, 218819388, 222598502, 793847592, 942507782, 379082810, 87699605, 90765238, 505825969, 574261670, 430246184, 111393731, 138889203, 553104504, 362692526, 262002398, 198327426, 355650958, 614774966, 75930059, 37748405, 869753293, 720137860, 290784528, 658712397, 154138801, 75545878, 282424477, 437472567, 583073375, 883778440, 120452853, 905154520, 389495379, 364552523, 671337402, 62006873, 559141277, 723930066, 294170345, 441937041, 695763151, 789022551, 873471553, 727356072, 943602610, 869219821, 546139355, 333760421, 490314792, 404718155, 530598927, 10561213, 1655766, 660561122, 957123195, 102888535, 523370502, 19913423, 340470814, 614001199, 894493343, 643584745, 724740996, 347205444, 868462978, 934462456, 71233720, 192820269, 341894863, 483575442, 363793392, 615703899, 41530426, 610643618, 711175407, 315383461, 470124807, 549500251, 387619570, 39353463, 74161946, 257432427, 598957091, 79122299, 515605309, 171144850, 222467704, 876312958, 869008144, 906359354, 991046768, 887358959, 2998062, 42244682, 606802457, 820435030, 945278257, 348174532, 197265660, 856048928, 137005063, 200412656, 219275767, 655118783, 379829483, 82033627, 823449813, 433771475, 35616642, 803939391, 778527095, 384390971, 993844785, 613163457, 145936581, 69209030, 645028096, 793305241, 149351846, 182304576, 12578038, 745135666, 479011947, 937781590, 573695512, 172145588, 753876254, 159388559, 901067010, 212489162, 46282452, 789315904, 549845880, 297953397, 296966148, 245394344, 915256516, 105541877, 616629881, 752031544, 859862792, 774746839, 720778857, 449118578, 176251278, 713918570, 650596473, 681705411, 840538642, 337062281, 363127289, 74395005, 72504180, 793721771, 752608346, 87047545, 851317275, 611117093, 284968102, 465771374, 63277870, 547255317, 800604665, 447471624, 692163811, 947039758, 244037322, 817926984, 837787465, 156086647, 38022451, 812879600, 585916860, 966561067, 112852263, 961926386, 587938845, 725168147, 506505927, 581105151, 816047833, 8301876, 154807495, 962733270, 88957551, 649268502, 833104028, 574493744, 321080055, 947734638, 680301625, 404047114, 182546184, 885050286, 286814353, 2185749, 403312728, 656366850, 127723420, 986602305, 25265407, 467338417, 766081880, 206507203, 548629610, 755640445, 943757217, 955201728, 793809133, 678977614, 785091445, 224179967, 574428045, 187276613, 212216011, 476993387, 330661161, 947227302, 783505883, 330122322, 872326336, 639332590, 867007043, 536251238, 574261285, 93741686, 377476997, 656432266, 87986425, 681180316, 341937178, 597909811, 261930500, 945645394, 856226259, 103829619, 706837737, 525494369, 487643794, 299100051, 673781646, 488944536, 831900591, 823626397, 874546888, 582111677, 312106010, 961333147, 341349702, 576227641, 345038902, 820709580, 95910474, 742330081, 236433005, 863855223, 955053645, 18955068, 765990187, 604595588, 90773005, 579390670, 804286690, 424355703, 392307454, 509890995, 944483786, 503989989, 72616422, 373958548, 685627523, 368543567, 649617295, 473788300, 802095688, 365984053, 589279509, 267911886, 83021921, 402997984, 163397157, 752367138, 63736686, 245444917, 502356088, 722780469, 671373429, 951560541, 431510277, 728323178, 316091121, 643170117, 466419457, 196685183, 123538430, 133895657, 749004938, 873324928, 33141694, 861230019, 724775758, 691914652, 940196512, 500792776, 116815233, 594381666, 177571067, 621827302, 333167191, 24518101, 41413284, 985835482, 253500590, 131041651, 47425430, 283229398, 526393103, 426116867, 804368179, 967914538, 125995, 513875641, 131545703, 714140748, 263719060, 434528109, 723135746, 277656880, 924060868, 999414453, 571799130, 771451146, 82088849, 23304534, 746797883, 222291299, 48003783, 650928365, 282129789, 792408087, 867699649, 672170461, 637690370, 587971474, 751450500, 240910046, 859915261, 476689021, 515299494, 268851858, 162318380, 757549326, 432181018, 395410942, 648953140, 372661969, 299889815, 597419089, 574247071, 446836127, 321471354, 251867548, 750304051, 98016586, 952207722, 191611246, 939564147, 642666568, 250773804, 644257420, 100685236, 745432999, 807123894, 476509621, 783167225, 673158218, 576445771, 222794393, 162270810, 122510261, 531129174, 805902143, 410790143, 713749862, 796224386, 28950555, 530345152, 447456316, 989753525, 578911610, 158583159, 446332158, 545476761, 848704269, 727022531, 320462380, 891327663, 586601136, 314131798, 392740852, 898516130, 252751982, 312667117, 363303407, 541386308, 865143620, 182257351, 580193362, 802275639, 824759852, 525439636, 388098228, 203398436, 752045221, 369779165, 386862766, 576989726, 652408367, 382023340, 801511857, 203692190, 48505396, 665792738, 628258887, 970107321, 456581835, 637089456, 479399978, 762098105, 949752544, 247484042, 665546735, 53578362, 72409449, 207886600, 272963010, 852085119, 349199065, 997446837, 132110651, 483227889, 841775473, 904714774, 637153119, 461450708, 866296057, 869699720, 871945485, 252634706, 165916156, 25419359, 727507135, 306169115, 719111750, 569152385, 211911820, 593314160, 635763587, 612017494, 249834684, 791446420, 969597938, 792215812, 486059857, 418816021, 854883057, 741272462, 307090607, 545227223, 616807784, 695520764, 157825147, 55509894, 54710947, 401051742, 473681414, 944705836, 921281938, 827728454, 303228186, 54022369, 583885208, 663372368, 314649148, 18330942, 277414561, 379063829, 374890745, 647224851, 218624519, 413977447, 192128488, 709650413, 797742594, 188326760, 499040377, 290456690, 868918357, 750120637, 92502220, 908241898, 293404537, 19540918, 735762928, 116535022, 796352966, 934971322, 549772703, 386513135, 329675703, 906195310, 344580588, 655507149, 261342670, 691907379, 621894058, 625898307, 967726115, 9506399, 13894509, 642691464, 843466097, 913057040, 304446047, 657632942, 733974725, 679099910, 118478591, 62437861, 371440432, 740846538, 314904295, 251969414, 981295152, 937476158, 67969020, 56926822, 446274134, 197867013, 750491124, 724167695, 618650134, 91124791, 795024561, 782726988, 610955009, 73229578, 908259936, 861284216, 42684369, 565533247, 313307291, 908117302, 351066919, 33239469, 368494655, 349932206, 326267105, 777069220, 949141388, 646619187, 652104188, 659108573, 613979572, 519970523, 896761232, 581141366, 507251213, 614134550, 281389976, 762692361, 800521517, 614476007, 84739727, 417597618, 473244106, 392515412, 842326800, 76899402, 179857924, 135067205, 159035886, 891228001, 545556682, 753058673, 713208623, 299539686, 693010361, 964493849, 28068328, 926702974, 162495044, 110731502, 827530711, 219214657, 437739407, 265925030, 741645973, 291552034, 961403175, 268381107, 123526437, 345563092, 375371427, 671887685, 529128824, 403941709, 829345245, 680157649, 271988229, 822422384, 744333955, 583108432, 851826443, 775330832, 70470292, 123379714, 369449503, 846994471, 384764634, 138473055, 99875115, 137296701, 961097037, 654124429, 881782127, 817704544, 236943234, 65069868, 850201763, 687215016, 72518897, 827718835, 855601984, 331061912, 995218631, 344980723, 485754731, 692377712, 265864576, 176031367, 874185570, 829201611, 498816735, 729062668, 230573439, 832506515, 344535764, 918813240, 358594145, 461637754, 4074483, 376639845, 640937829, 257651751, 255618037, 701840512, 291789657, 645080074, 846832358, 295880587, 570776882, 763833156, 757574934, 571754010, 470087913, 397175663, 261004695, 267569676, 96886704, 365446329, 334423528, 122846927, 219803984, 288277520, 30005991, 423214481, 706769011, 886131332, 428671501, 701919854, 917312345, 819274147, 232048440, 532663351, 26612983, 648436633, 89617310, 744258122, 540694038, 71300066, 469029651, 115578805, 818513700, 176350856, 485844976, 26542856, 51908940, 92134759, 372112087, 257659731, 711577965, 424012070, 638424167, 185205609, 299932715, 135648636, 770150606, 992311672, 384359187, 6314245, 435080047, 919662150, 733393941, 976395414, 439370250, 763603894, 701495011, 719402320, 293600071, 391596044, 36937169, 985246774, 918964476, 295079198, 726364368, 955987565, 745590535, 60071943, 448622840, 16355419, 803631002, 348023011, 258913618, 40210488, 67483000, 795675437, 129354431, 198172990, 736735054, 916407434, 92381533, 717064368, 957434693, 158049568, 4026733, 596285400, 31160033, 401877756, 896552089, 161288612, 284432964, 77730185, 71374632, 147745860, 149376058, 558478618, 125708246, 582813515, 283714928, 939386391, 786369308, 48007517, 496577379, 865930736, 265086092, 545035943, 398122240, 838068375, 91843685, 662420646, 665214562, 151213794, 324608622, 797196930, 135862821, 653056181, 12054646, 817436559, 556914381, 613263381, 735121997, 310657433, 903410263, 610863497, 694311387, 597459204, 122168567, 409246243, 126030708, 476919633, 781551419, 38237327, 466755438, 172987115, 948450172, 950565806, 919799338, 811451726, 892843954, 121019450, 971918178, 366472010, 880539528, 926002533, 841147378, 629584804, 425321941, 44427657, 474185481, 782303056, 605971090, 279027766, 182544206, 323951367, 885627018, 643868531, 26036143, 794586594, 313312796, 644735878, 370759302, 303716918, 645740256, 947883099, 804812889, 820590077, 918489339, 721503268, 365478558, 299305986, 209907412, 730608442, 206613969, 453180033, 660718401, 712985456, 792820281, 440369194, 588452859, 525355316, 447586143, 755416500, 184099262, 601680342, 936501763, 168354080, 351198187, 270615434, 118281395, 487197805, 606971477, 422710473, 869408144, 58362397, 398455366, 921993621, 302548509, 940916216, 595126323, 351550489, 813117855, 197350801, 505510241, 652647209, 676400268, 873083195, 254842234, 737119113, 981538986, 216184867, 38984402, 603641084, 356706006, 832542210, 701629353, 38966880, 934486007, 222648011, 524034106, 679401823, 42995380, 960887587, 322968955, 837481611, 505458966, 837205523, 310958291, 834218518, 188087320, 882530642, 339309318, 5548886, 774186365, 55126581, 153329408, 921843297, 962838481, 37318557, 316558658, 405898964, 302179009, 895008428, 704980201, 115692980, 616289619, 30105671, 422470965, 372147688, 408975359, 834374490, 128690535, 238091114, 300107469, 653235283, 258696689, 723754292, 799250810, 421436297, 426875724, 627379467, 316862194, 212861259, 292567870, 72587094, 107057928, 625158626, 354465924, 889605769, 535516522, 122320974, 780222492, 155762412, 78838290, 542993075, 783741614, 114846801, 191170335, 618906683, 833549087, 978333073, 325730972, 973008, 554376578, 185567868, 631064278, 504426122, 703966597, 879759001, 668378942, 267525919, 373125639, 800582130, 554317752, 453395563, 253144815, 871047699, 440162809, 762511470, 246795969, 3579179, 198432037, 729627349, 183011607, 81956275, 177823323, 969874865, 289999843, 768770324, 308152815, 951109195, 587550959, 787866073, 971240919, 455934360, 105520866, 154224933, 488503671, 467933927, 803585114, 287435763, 520722140, 166885373, 8939219, 793981255, 990581313, 584048593, 894308833, 175327895, 268133876, 783004518, 374119071, 509002841, 342607118, 610283614, 202107234, 832545698, 787162571, 380143043, 658455643, 642195185, 421062846, 687232705, 542563480, 413958315, 13354060, 561120305, 191377378, 148778803, 879879478, 345584778, 265107426, 473617101, 733407333, 245029493, 727291088, 351145573, 221766210, 297243697, 589953149, 122058881, 793146176, 871389499, 23008782, 103066808, 54969358, 337834797, 796335826, 380660881, 592741120, 290920908, 110097776, 273945345, 870191289, 199250902, 191897106, 929821734, 726201181, 336579445, 281945530, 779486459, 834732610, 296483037, 115386994, 801314465, 90005670, 242641004, 498780797, 650934937, 829729989, 6250055, 101062684, 510419173, 935009964, 469728953, 864435170, 297382689, 641711338, 792558054, 569088398, 632214889, 19529133, 673514825, 570700647, 372659095, 995517719, 504625940, 680827544, 545368950, 139757300, 330475496, 822195600, 608280164, 836918854, 257080794, 547138487, 128477153, 49950962, 260424626, 949002067, 539697789, 234867684, 932434259, 617144487, 214506720, 310608065, 487426512, 938616751, 694102541, 882031404, 801767510, 330399357, 882424482, 619783792, 957319597, 36837235, 126289994, 857124975, 167158044, 42202751, 207618356, 60578422, 210951858, 807769611, 622706717, 43516881, 699573099, 69431193, 433951490, 807351713, 188505355, 930082086, 739657821, 575015213, 648746156, 388392514, 783664814, 146620680, 393808379, 676070677, 800329032, 443080813, 121171833, 582628487, 822863124, 766830521, 417848240, 880487242, 496710183, 345637463, 335913816, 334488710, 539291505, 846870684, 573024946, 614748148, 278225405, 197956896, 415867284, 474940220, 228240667, 401282812, 145136335, 850879366, 860862769, 674030433, 898699841, 967407218, 662617711, 260188718, 932013762, 626485223, 710311892, 919647569, 884764728, 239049497, 934246996, 307796244, 279059173, 863502994, 842756157, 270302447, 56130784, 486427142, 760955528, 666183411, 497727643, 752235514, 659196962, 236376464, 691304709, 488308301, 689772466, 752922075, 896850820, 432766454, 900536164, 420451421, 142067254, 888162318, 202914887, 520189869, 252528423, 896148461, 43309874, 428623004, 797848884, 284223150, 970300636, 276153878, 648219937, 806889623, 215699788, 414960170, 647343680, 238556322, 66819800, 253863080, 990816576, 423965666, 283460600, 295864556, 246515325, 334535465, 185680846, 578869785, 643925029, 537303246, 140796824, 689568371, 736265660, 846745205, 606636577, 262227356, 402192667, 748165969, 278305242, 216308487, 274764669, 208516067, 732852660, 139190700, 722946743, 615041488, 113938777, 739573071, 76085666, 846167554, 624831917, 885508544, 553645561, 757273194, 72797776, 61337061, 710864480, 888834643, 430217005, 596819200, 595973776, 47590668, 792272784, 601856027, 9053409, 480606165, 976467583, 93304345, 673009343, 326872034, 894337989, 32740638, 369059188, 607650689, 325167476, 852837395, 760362711, 463437657, 222280471, 836898076, 390258311, 458812261, 630259595, 669545286, 83700780, 652489418, 783383001, 664659386, 999119745, 606554486, 646490719, 549950799, 890518905, 634425247, 303549941, 828537048, 297274988, 744411503, 162456648, 844079218, 697602220, 738468053, 702546518, 664229719, 298094871, 408468596, 358906145, 175057725, 428280163, 123494983, 391145240, 174527561, 919408225, 425567432, 425694693, 352398821, 651850835, 116615953, 850325737, 20890832, 300926530, 486196326, 576737184, 84930926, 544794690, 373186036, 914998246, 552748274, 270597679, 715147765, 52825746, 45715533, 293806876, 164867075, 304794208, 312531638, 208561339, 461238696, 635338474, 286591171, 895830041, 6137051, 254160041, 431842319, 62217269, 959100097, 585989663, 455950, 428199474, 168396950, 442832694, 423898529, 157721403, 795525827, 530459192, 437695038, 442886733, 678463458, 841337099, 942179102, 538435426, 273866141, 83783746, 527033168, 373121825, 206212702, 737022124, 989889910, 320877500, 683326707, 741004540, 573971213, 635449523, 303483178, 10873287, 805273541, 810169506, 786856008, 448378925, 207321386, 776403854, 70347931, 489768159, 493131075, 573773683, 123215004, 898359890, 233290576, 241393386, 464880394, 996090898, 827974790, 418846058, 300129056, 775253067, 770333095, 670684669, 666460806, 504656866, 390695524, 806826378, 277468755, 519047091, 848144932, 823833906, 525597093, 525167158, 51213398, 993312138, 144617802, 851807999, 333071486, 561132867, 618989000, 342119032, 583203138, 484486484, 719142326, 245076259, 752838697, 127840864, 582856190, 337220623, 906600189, 363494024, 761332774, 558074157, 900177875, 66174970, 71387723, 41694087, 228065795, 82339314, 814630477, 678892835, 555568471, 466379686, 997421352, 133772779, 27582946, 661670372, 51989283, 198252047, 997003270, 320012117, 320160541, 907069135, 83866473, 822572240, 382316892, 944129569, 657109212, 433291076, 565217204, 938290874, 72537938, 659884132, 626493285, 739705769, 580969423, 835569731, 302617243, 107264369, 25905280, 715361231, 187268133, 253749628, 691551820, 651518567, 795458124, 241637971, 11004841, 134621212, 553167367, 42264991, 784860869, 688180260, 747787763, 180715356, 731896671, 599916432, 133942594, 936275730, 681218923, 745671286, 996671653, 42166412, 667810006, 455941547, 139318322, 565118063, 941224400, 36186815, 166873507, 520262570, 262884483, 731472898, 197882711, 611595984, 958089760, 576734356, 995293320, 701309870, 774629810, 977683103, 471192241, 230746500, 308941602, 782582665, 746981066, 503189902, 242622443, 144004851, 219764093, 69797326, 135369879, 195206200, 987949131, 3870140, 121464369, 177226595, 40680502, 331614277, 433641582, 544475723, 337862367, 464517350, 481273221, 797106375, 443013777, 517783312, 162363610, 136048610, 10331468, 230640476, 898641863, 78431535, 120253436, 110905862, 947648743, 117209500, 226352874, 213526536, 166660411, 254702766, 256979993, 169681677, 513398699, 603487934, 528729207, 493408158, 793660306, 713179061, 157920112, 110350264, 353286349, 17160461, 304475789, 806254612, 413475701, 961069815, 84559904, 118309233, 247192970, 45474104, 425187152, 838209941, 477007512, 8990173, 306531001, 632855156, 854961784, 699122457, 160588927, 264533675, 392528414, 202018487, 378289105, 610141226, 919733698, 694704368, 60013571, 532393389, 413464420, 473309961, 606084597, 406778092, 640898159, 41202673, 101345986, 840042152, 476760631, 390638864, 334163680, 899650388, 885486445, 473717097, 804422523, 648008086, 807189965, 723491503, 207840045, 538981609, 582396408, 114215828, 844727100, 922630662, 291679374, 338914322, 376098108, 57897581, 481570858, 108397800, 922935329, 512265827, 614349604, 657014519, 232392826, 744165618, 127877604, 554874390, 482611437, 396163312, 494597577, 723821942, 808097407, 228931748, 131045972, 417616255, 529455811, 800380252, 222927595, 547627559, 668678048, 122623875, 48217216, 71771606, 821386186, 313591805, 234362888, 94352308, 907659883, 655154433, 980029655, 516776520, 507607316, 34627093, 473574378, 519698183, 303983128, 939777357, 856787029, 566513300, 167999905, 561584603, 328209034, 533300436, 909778408, 582422596, 992752219, 3101106, 443293817, 370930737, 513420998, 193544401, 712644811, 771750719, 534986335, 952324215, 276149214, 92988547, 814940868, 287954444, 590889408, 927997816, 747043433, 667415701, 228666482, 480251360, 944581131, 34364736, 419540631, 503614028, 335130541, 539341966, 246487934, 364897467, 566386334, 931030570, 189582676, 269255351, 736094644, 170996985, 803257254, 470517878, 395534033, 481914480, 859394623, 340493694, 238686631, 734960758, 398047727, 851459636, 425012231, 875225830, 281042766, 122924977, 350294244, 694879136, 929177003, 882533016, 194055301, 132616923, 637435856, 658629935, 834346978, 775387232, 817744912, 564893145, 593492894, 106499434, 120449649, 524096663, 672830173, 952071694, 836062317, 588341541, 369804997, 821947046, 964796894, 819020498, 221659397, 851026132, 573570475, 162720721, 836047305, 203980725, 589021348, 250586791, 595644069, 252308421, 555426215, 9392027, 125363374, 352869545, 160428056, 494852331, 231172421, 421694949, 968705062, 701656916, 193926293, 771513449, 642516064, 70911214, 107252883, 87774313, 928345081, 52030812, 799208385, 136177634, 593750270, 907050324, 434465533, 695257862, 493157108, 215306481, 522363120, 589390081, 202008631, 169374678, 756676193, 251932506, 139074378, 509851262, 263188214, 671881181, 328504690, 783929195, 171522176, 383513435, 2777667, 869116635, 90251721, 282960186, 48782880, 729969927, 100519706, 306127832, 77754925, 470914455, 441260190, 978239297, 203970673, 582749883, 150681491, 573463688, 33745117, 211324023, 479554379, 50635577, 614898890, 704719461, 217361929, 558489662, 418947951, 676893400, 97083721, 403314690, 827942904, 926400335, 486095572, 16141615, 885806248, 464367906, 739293432, 325010252, 561962572, 807291394, 330704, 519951221, 811603146, 741667347, 213820291, 183956594, 115243636, 517460253, 80459800, 974764954, 329869027, 513146719, 136684251, 121011713, 903212516, 358236421, 720789357, 508044234, 680048256, 267357321, 963428002, 214734498, 599181797, 50709771, 997750222, 969043820, 969823708, 490106795, 948323714, 32289800, 242273588, 82324271, 224813376, 743461698, 346689277, 501334939, 672602906, 66201247, 497725540, 22752167, 247515037, 533425896, 264256264, 950938559, 850965741, 424444785, 804181611, 771100082, 996074903, 227641568, 311464636, 216923410, 865960092, 532312448, 948279160, 49352712, 522596178, 514285219, 817128974, 755799048, 70343335, 721096699, 998175798, 126249651, 205638226, 721646921, 946055273, 930118782, 192231803, 300891973, 746994542, 398376072, 780361093, 630953896, 814966852, 888350171, 859073574, 669322181, 267241156, 674037936, 89863996, 774167547, 130810508, 616908159, 66096496, 424919156, 798725648, 289751495, 540417256, 338799816, 453302887, 243381228, 236085733, 446675695, 747127108, 305901311, 760555700, 272607418, 597362525, 600674534, 782690684, 14916341, 377705767, 19063088, 89387533, 674306310, 987982578, 932356474, 631657642, 435419869, 899017235, 758755887, 579699998, 395320118, 708399980, 835370561, 439754716, 939462302, 350459944, 517725528, 804810408, 113385838, 98406128, 174855935, 928696125, 731762720, 654225607, 100052236, 64408049, 120530295, 790069288, 22134590, 483156939, 858978773, 874504322, 903196873, 217932252, 516399470, 819260534, 570471615, 854423933, 618269242, 435159126, 170686550, 288737416, 377540974, 345658058, 314894651, 113676492, 869390768, 273396262, 55827869, 836107106, 946815955, 498782507, 695610239, 701622297, 678939785, 189238024, 601108780, 213816644, 186311623, 517948066, 718418547, 436590872, 491031125, 856955476, 296953659, 822881092, 334001165, 177396726, 499359575, 902773462, 636891393, 369600827, 147828319, 112450704, 152801680, 764010838, 510215554, 39623003, 429453048, 464397393, 56970157, 431634592, 527568394, 25703109, 445265957, 412632830, 442873261, 117227423, 958691532, 770715034, 970440436, 844876549, 864045968, 184027287, 877504316, 473763041, 229466341, 353091342, 193493867, 405958297, 435290451, 447993242, 106654511, 437308416, 705178227, 226148938, 850928718, 443147341, 626992751, 395978982, 156996170, 680395962, 884777418, 99240146, 174918682, 645840767, 492002300, 580694642, 367029226, 193964962, 575352928, 709991068, 113854089, 237017456, 236860974, 959965499, 836486714, 526074955, 577471237, 181277210, 490923725, 141715614, 828299637, 133169519, 234436085, 508198910, 517559010, 37367122, 56779657, 172097489, 516242959, 877302854, 449749377, 524707248, 906329957, 895764505, 630425208, 844426251, 819822674, 541632868, 159948083, 246345807, 321571806, 25267560, 700918849, 683224486, 795648861, 76462539, 899594597, 332401300, 348697406, 598476214, 408895968, 915994450, 468057035, 734480450, 544576266, 828767837, 719245068, 105376487, 512530837, 736357373, 470029422, 660995524, 665949143, 201029424, 100825024, 208118172, 763985837, 128866186, 802411714, 108950350, 936263513, 191876840, 106480177, 870323442, 128554853, 535613055, 938288848, 387714375, 848392728, 803940225, 265432885, 203140155, 790304246, 433539038, 408457921, 948152094, 141824979, 982435665, 324219741, 753133290, 458391443, 721247726, 568041240, 160924340, 763856950, 279534873, 481832772, 141031113, 176357664, 361022591, 986982324, 875032717, 658909914, 692023725, 947179049, 605808674, 633449604, 422936094, 305482330, 822728574, 10895023, 75447714, 782956246, 704436797, 245244161, 587688740, 786549415, 640337190, 904238849, 403310678, 467763852, 424853267, 610892635, 546796590, 270577947, 53554367, 759958163, 565924493, 22084820, 164252653, 739880900, 758403993, 52736641, 458276327, 982495188, 51748705, 913851651, 437155599, 45455267, 85456269, 826097735, 118969605, 318220327, 145152346, 616152076, 542785603, 411298896, 925548533, 154033799, 483943513, 602941344, 133606669, 55432757, 241267595, 94753598, 22481877, 444786315, 18464431, 166650880, 691834475, 886718522, 738297621, 945172959, 168607266, 758956128, 22507687, 23264575, 859180732, 973210276, 304454966, 546246027, 797561254, 922748030, 535938286, 360553437, 491275361, 686043795, 330572196, 228192418, 969523825, 757780798, 483586911, 181902362, 387775415, 100144486, 218254581, 163142316, 268531503, 76425536, 634018710, 722133363, 35276485, 653841233, 517599248, 983559777, 593495618, 759767903, 55171640, 944214799, 384376213, 628886141, 124033625, 47557029, 243022096, 164935379, 962245635, 557957704, 63487017, 346745386, 597612954, 964079123, 114195556, 803102658, 683016521, 164215993, 589758934, 188479167, 434217061, 375327054, 526647965, 590190113, 398578451, 897578561, 383336179, 187164323, 628805846, 103664372, 801453041, 109088096, 338550179, 595978760, 988977793, 972786183, 652487521, 311417796, 13494677, 552090872, 439620742, 131201903, 933723398, 963441317, 498082480, 782142143, 414393704, 665941895, 45267719, 391950894, 269477493, 949683996, 369957860, 86331679, 374218026, 659060582, 417624002, 359591954, 406935939, 905136558, 464801202, 60319458, 694953231, 568985282, 75846834, 12757687, 980277126, 242487512, 746027333, 730909819, 689930531, 453520688, 365264313, 863362203, 249768326, 998058686, 305151432, 686110597, 412139067, 354383491, 73173879, 701124021, 319475809, 355053807, 423226660, 431088863, 3968521, 58806315, 724550645, 625102509, 873045003, 182369178, 975152844, 882318168, 205337366, 747894383, 795373949, 959324482, 466179706, 671192835, 296119457, 20887552, 817306446, 561043872, 801622732, 468992429, 540056893, 158672635, 522004624, 152831397, 136357698, 159629567, 496143794, 112781763, 804620003, 437734073, 713949189, 586803209, 442039507, 110868786, 370678943, 552776350, 127081646, 684911584, 404762682, 662081750, 590069207, 670562384, 556761480, 887581285, 943625888, 133925321, 811772114, 304072841, 635051606, 454629118, 880897490, 758281412, 975821370, 874391548, 386038885, 120194155, 32414755, 420150999, 767664218, 785269898, 534218786, 758464127, 958824347, 70200623, 366418597, 540975881, 368782227, 963300128, 285880543, 491875588, 848544143, 919975909, 593619509, 971138451, 35171927, 15175132, 653325183, 684799220, 673514657, 554883329, 593776474, 11059524, 617216675, 381366493, 396245123, 253785303, 909522420, 202200462, 298600726, 65777148, 460925778, 756412397, 801108563, 373810765, 498447671, 160669202, 847573471, 158122871, 75201414, 417998506, 141954811, 195116597, 276869240, 442173540, 668344306, 183975582, 330082827, 568829616, 644112976, 418689402, 911443436, 110344385, 552062929, 436641193, 239910844, 866726437, 184140449, 323716542, 495749731, 760389256, 406180284, 249026740, 294016138, 828836363, 195362334, 759516388, 741771722, 785147910, 885218887, 1679353, 339359657, 265588881, 462472680, 752483389, 959064885, 444221756, 268764853, 356994815, 145580533, 649266599, 585128781, 38599736, 640127158, 831748762, 243249419, 632918016, 514812479, 98807222, 920195122, 147374017, 839344442, 736420862, 434600500, 202988225, 454806259, 45883402, 25345484, 805508471, 435542131, 842020710, 676517758, 532394653, 110012169, 743069378, 357226793, 613789973, 735885235, 443296925, 96723567, 302219805, 492968554, 372618122, 186520336, 111499166, 544318983, 844080542, 115024831, 178569238, 838187958, 565226292, 115345479, 922042100, 53376678, 704179820, 587972479, 733508398, 606033786, 906492753, 134309683, 764465879, 386279427, 41169647, 752449935, 59559387, 252485668, 275351672, 220390277, 339356362, 31085638, 809975614, 501851237, 792867239, 693345919, 593182051, 244788174, 277999196, 311381054, 612076090, 523860896, 454564057, 613060003, 221180519, 664227040, 419863033, 712196238, 65352736, 807186853, 685814296, 95681689, 461398767, 946658321, 550064671, 919120123, 869619187, 614491472, 247656062, 124489782, 806105951, 655924603, 426276271, 960765173, 728297405, 382376486, 138342820, 89489277, 54448349, 192523871, 541722136, 496201089, 537578973, 659433110, 902986365, 47077093, 691301082, 227473274, 108708973, 634025669, 526455029, 942150210, 371335313, 77850306, 233738682, 984174085, 829989344, 784371285, 976958016, 408449072, 7506161, 660001308, 425336430, 191243127, 684563888, 667088918, 943203951, 158535153, 697081657, 882700604, 688011691, 694117041, 699320916, 759577175, 541365024, 414035033, 826068686, 462743779, 420858056, 236398813, 319891519, 403523834, 549535060, 651465241, 6078706, 367830616, 244982509, 528757946, 632251300, 227529379, 874664259, 461255188, 213320984, 842204782, 779815524, 517861701, 645112975, 425154924, 218489961, 79601626, 405599819, 49301906, 682637864, 697152823, 229778766, 208156385, 635839900, 612567942, 544461113, 583564905, 914054862, 915239820, 585439564, 148040893, 707082960, 279958374, 694971238, 800181452, 883667769, 121862348, 354805326, 142860724, 414407127, 971392137, 741733087, 346175915, 39840042, 94033230, 465746709, 957131649, 289352256, 772516136, 768530786, 297669695, 287351794, 721132709, 683745276, 841348575, 287419659, 669131090, 93347107, 717494971, 6748285, 758724481, 979824905, 719682823, 318424447, 895716429, 919659927, 33974269, 557792415, 73695803, 939435842, 545349018, 83613737, 365700098, 512537134, 64206043, 361582960, 677440602, 530079947, 181667456, 724014847, 582498038, 251589953, 839088867, 609610029, 25942044, 659618166, 819229457, 32115255, 931192897, 340210225, 396019590, 253109678, 411527247, 926745993, 628651830, 514951650, 288535413, 241555458, 851658644, 307303454, 682453862, 651672862, 894742979, 873522485, 609957, 674853346, 841548967, 655294526, 674397416, 891057897, 667085076, 392682630, 978088088, 363310448, 978938719, 442947679, 50484962, 336657003, 569892791, 673245068, 285681694, 756518535, 276718096, 619429742, 663530356, 860640050, 169716042, 490409387, 166871689, 270604710, 126126704, 916449433, 628409951, 248638832, 729699303, 890759411, 851578122, 902955173, 943890156, 696280954, 984197281, 675316328, 860540386, 660306758, 119052463, 458645604, 828645436, 838954059, 846187700, 246754733, 853509640, 309813792, 516977011, 630791251, 873880699, 145300761, 776238929, 275945908, 35086913, 518254034, 565264375, 63621401, 402875587, 757995165, 381647061, 366122522, 816877873, 158287209, 92320160, 108822059, 426565218, 655433255, 433364079, 848763201, 816614490, 631410767, 689624828, 300778620, 323548196, 258647249, 217476789, 327363211, 389706387, 339519910, 44921059, 690554089, 396972066, 32072104, 516860388, 198893765, 93991562, 277539169, 485683075, 418721614, 790159340, 264362452, 242900202, 183604672, 343783346, 91947083, 354167995, 927258683, 576553070, 969196132, 75783279, 11763728, 658258314, 933371557, 57829509, 992536766, 810872833, 856567394, 368696853, 326160895, 68353280, 746766341, 797570314, 134545228, 188741043, 634015855, 1287069, 135636159, 490132201, 839366475, 564146898, 116494062, 322682385, 628791864, 806434943, 557837080, 517975082, 410770981, 567151712, 177992827, 110511634, 107497691, 745077426, 761141655, 452263614, 296664826, 798141485, 932601926, 470648280, 108125929, 608993437, 818957373, 550055266, 61318359, 944685830, 949969820, 404986889, 734490389, 435881178, 362494467, 908656439, 804783971, 616639411, 311369153, 409534202, 468918367, 155606185, 202705731, 440801047, 575688835, 561745001, 367868934, 210047820, 731025955, 432033919, 532272029, 927890293, 577433055, 65171686, 703933643, 289326539, 807401980, 406881205, 750458209, 842589504, 505597012, 958032450, 503807165, 973434566, 219576813, 791930534, 22712269, 576822280, 895594428, 92287916, 844133046, 628234613, 123186743, 931454399, 770680545, 735349529, 569844802, 561996408, 742842237, 802452246, 646215986, 282087765, 351664312, 774521636, 965047152, 844625054, 586497174, 515894843, 864643973, 258762859, 804186638, 816960404, 839487400, 234020012, 906275010, 807751787, 295905850, 519727895, 814729871, 903111344, 267951764, 833167707, 404604085, 208900562, 307216750, 262901150, 198140608, 701626993, 294367174, 323830547, 558467784, 753619932, 290678986, 764763173, 656556773, 5197474, 237000633, 622359352, 444671443, 99445531, 729480226, 960778920, 639019535, 222293153, 86631947, 262893688, 717913786, 550286513, 654494988, 952737486, 403258127, 870947956, 770029586, 166320676, 225210382, 638829448, 908661809, 928243991, 344876810, 255777676, 638541545, 318894066, 513137099, 513724046, 264807406, 141002439, 778137832, 99989638, 409005627, 524247909, 145796714, 567422700, 887565141, 238894704, 601065579, 341497785, 941907501, 955761700, 926325792, 862432294, 653837675, 996318167, 800681407, 967851912, 298376754, 350285971, 240968011, 854944433, 838088931, 674788386, 639762070, 588018397, 637185559, 784289352, 218737034, 745792225, 161948278, 473735404, 377096796, 241927206, 978702146, 922305917, 545541129, 53708641, 619538668, 116750773, 759304082, 375205310, 718145487, 125624733, 166189958, 844858003, 201482375, 861441157, 105530315, 83077940, 682398423, 869222439, 155563492, 739490095, 450664443, 678626165, 72904421, 299490679, 514461326, 241537194, 910120779, 820327925, 340810342, 964390700, 565392002, 245533431, 647915238, 30903616, 984067315, 817422333, 892980758, 129799946, 263236783, 569414386, 526860219, 748969735, 729135628, 966428665, 74091809, 773182346, 382408050, 154277798, 610927249, 691418618, 117268965, 436609513, 258854018, 529223767, 679531241, 207615725, 497797412, 591312292, 728357706, 142734872, 908901357, 740008264, 845691626, 611774689, 13331356, 535269054, 234544761, 660445056, 75660461, 170561295, 981848724, 654281494, 62557045, 523526992, 936764672, 849518505, 189717736, 381932409, 310366126, 561069302, 702336258, 181430032, 313436204, 218232211, 159238758, 64873734, 146432957, 316591666, 182768580, 37714513, 762895041, 169602630, 606807783, 24786880, 713710318, 56604785, 986563383, 604746251, 453900889, 637023674, 268759114, 742594823, 893492358, 149638286, 149237186, 674686758, 623038028, 695924934, 779090091, 146393930, 532571331, 454045906, 256858757, 928494482, 668063194, 52046201, 88011734, 423369226, 891448562, 884166406, 809759541, 725585837, 267745013, 65523721, 109477898, 784815041, 478103469, 310756036, 501812366, 441519354, 893520644, 284372665, 638581049, 848384476, 679232653, 678082385, 589995396, 138561513, 214214976, 948809760, 456341659, 876839638, 653463585, 979748844, 81774405, 588097114, 323245335, 767303716, 304740580, 789693868, 63043016, 226586014, 91491228, 822692401, 52909426, 122045336, 870069983, 645313937, 316001456, 459437388, 291254059, 392280831, 536314188, 102252477, 719090502, 396116399, 357320554, 15213000, 947756231, 252536375, 503990747, 766809778, 397154679, 942997308, 638865088, 794786729, 868906557, 160370175, 192453123, 345163833, 271329233, 122612197, 983553187, 405676564, 563615621, 359024059, 524505722, 670846317, 206592317, 874220881, 736207497, 15695691, 209161442, 491804610, 140533489, 58444072, 434357879, 234506227, 916057639, 964621256, 55125690, 313935274, 528344643, 219810570, 356818363, 137352996, 330587198, 943102086, 829139549, 382570071, 827733146, 502397096, 941785447, 161369519, 261661626, 198787635, 396899715, 654835419, 289594352, 621954787, 737225983, 410156304, 206674918, 526050196, 601669439, 580677468, 584701248, 893146491, 703512118, 690383212, 977901393, 427800277, 636511868, 350415137, 733904199, 310675930, 519007843, 395539985, 162706588, 216793910, 27330846, 246713928, 974477308, 234199402, 534240016, 913765481, 645377928, 862284585, 950313419, 349100021, 746150881, 928689086, 352221203, 318534335, 327819385, 128166957, 795680681, 49522040, 98228521, 494438721, 661083359, 264237874, 542410965, 264702059, 422547239, 843876342, 255782789, 821434552, 20669131, 896808437, 595998827, 152969534, 118072978, 44214096, 217306396, 516792566, 12410960, 60096592, 460195566, 230453467, 613935441, 327097050, 353622316, 87120515, 351761061, 501978697, 905687054, 268809395, 429807530, 761353126, 660416826, 561285682, 383640289, 574057467, 670933968, 394151232, 775220183, 581911950, 439931152, 840246612, 525023760, 455099827, 623973170, 449932122, 825574515, 476141207, 771111624, 706906016, 560006959, 816351049, 892504672, 513404768, 883814869, 896059895, 856108355, 311088619, 491189447, 371226431, 599756054, 699417402, 697492366, 541401658, 980688253, 966499333, 126110174, 697775211, 864120440, 723570426, 347362771, 197132785, 172083468, 219677901, 103236264, 927906802, 388048833, 393368216, 55899811, 82487217, 118550680, 496942882, 287596364, 883503672, 705048473, 157803686, 298689905, 851629435, 108198443, 806510345, 779889684, 610410670, 605740646, 895592570, 22526370, 415805228, 901014572, 179146843, 267852062, 742548489, 65040418, 193533165, 614401627, 296342572, 129756023, 841254155, 339188648, 884386662, 157489248, 531478552, 984465119, 69125036, 863545888, 712897792, 221087186, 788982332, 625922261, 615984261, 429277985, 272828441, 347824178, 549875547, 440982949, 769757793, 266846506, 720554367, 627191137, 280244071, 95803677, 763100037, 747504863, 391889765, 114144084, 948080646, 155128559, 459241362, 245343784, 359547891, 818990634, 609920328, 870677606, 304337373, 139037079, 762582851, 36732433, 695066533, 169842807, 912293536, 297312850, 57350720, 104452713, 425229843, 13993171, 866235970, 241916413, 394521418, 912920091, 106427807, 898040999, 924746568, 714237685, 267825105, 521173187, 528653390, 872655583, 634653984, 731723439, 226742389, 674939408, 639984506, 759496145, 284649066, 226934614, 956889115, 787715533, 827364582, 511069549, 649618112, 412019067, 10862271, 280001154, 286262573, 863926508, 609178082, 76509537, 948018077, 675140175, 653611, 464172437, 800975970, 923617332, 23398063, 539229173, 423305418, 510716991, 318112171, 920190860, 916363827, 396111056, 421387655, 309533114, 543013810, 145308431, 14436163, 460176615, 441407963, 528552863, 304959582, 602614523, 554702189, 573800842, 971544359, 338143732, 461381036, 853679764, 411673702, 136245486, 160269604, 997210633, 549579955, 780901235, 502847891, 55427249, 348780960, 576281923, 460624932, 156198079, 27866589, 899887003, 291715193, 629370156, 948011931, 455478272, 413515546, 250554687, 508333503, 471040699, 517484832, 682286776, 191882175, 972998149, 298096193, 445976013, 190154320, 337772891, 296439080, 395341597, 182155082, 759385359, 398477477, 23115128, 984549834, 512878981, 238626078, 639839103, 454049327, 428076390, 702244570, 577783040, 590160550, 146447651, 15227703, 501241732, 177560206, 608803340, 858658026, 693083133, 22254998, 670700343, 883511272, 954166099, 417333086, 571798843, 238703835, 474096575, 386707653, 724103151, 952501658, 702630162, 773418065, 772580476, 648682643, 530918826, 72751038, 416255332, 295484970, 549336702, 646084330, 634137735, 219138887, 918762135, 579232108, 357669985, 759336451, 204783165, 708927169, 216536427, 645196198, 815947713, 672214520, 630988755, 807618594, 743487673, 753418401, 610503299, 36790980, 522110314, 502417715, 352725096, 674473374, 687333539, 452346763, 832631190, 12206912, 698811410, 873654684, 841225327, 914929896, 446963960, 377311649, 958137085, 534486851, 857003773, 39911639, 136679209, 456651795, 542215703, 887074303, 246892301, 890595339, 28893668, 723009018, 696054530, 495284476, 590461350, 854275493, 74351868, 663788056, 645292201, 513029362, 285274037, 361258038, 445998673, 58761719, 961999751, 848543725, 242248457, 931261860, 492004977, 459897886, 357750024, 729368743, 979819880, 263415187, 590895832, 499717792, 106446023, 646732628, 84623820, 468184580, 452122066, 167132020, 689591556, 354025198, 180584345, 471193744, 525766737, 132632012, 498025844, 542670355, 666271908, 950197465, 1239359, 989646570, 942990395, 995818348, 465900873, 624677107, 555301738, 932592467, 820565659, 243223213, 40231385, 373712163, 308507731, 931379214, 274491833, 623207005, 632033366, 612517165, 639647835, 602478571, 409050195, 730127417, 863234611, 458212747, 670975029, 957842597, 123039459, 308285258, 833353392, 290961223, 62704722, 943455699, 226324803, 675555893, 14795939, 202124916, 539217405, 704728462, 656621339, 324677437, 161850658, 884805946, 507761951, 958449816, 557852930, 479259886, 783186117, 221505567, 40878645, 162962109, 15306407, 769606424, 112972594, 184894061, 320563194, 742472086, 974007397, 374887660, 19862034, 519555741, 760006889, 836968978, 600388171, 510867892, 234720582, 446759165, 24473136, 322292560, 502221422, 956200135, 924595314, 370183340, 924262673, 160985339, 341778774, 74115099, 967597498, 879635193, 719475068, 351529071, 217212282, 366374626, 154793464, 737238861, 359168476, 290529348, 751126638, 887020782, 596696658, 188243621, 454741670, 506799748, 932234581, 638925894, 733652519, 475813778, 328790927, 790663703, 652284730, 297039215, 212715365, 66936647, 70410728, 287300801, 620856857, 317982831, 475579654, 944304792, 804492380, 640703057, 637316587, 127272227, 964916891, 668680581, 543794207, 551318410, 453335400, 53935623, 255713615, 657534372, 285007138, 688097223, 905813094, 861663713, 382423868, 981908153, 861707685, 634276112, 44730652, 799958705, 292438646, 59290699, 449397346, 670939732, 117602468, 999564244, 871896971, 155772115, 470636841, 937260486, 855503429, 28023345, 996168255, 193274095, 90033179, 163050350, 770498357, 679081650, 794601403, 468517156, 668989845, 122717418, 166203395, 774178214, 936290870, 631468045, 244786089, 100083871, 436819765, 556273426, 641957264, 217324167, 39105395, 24006890, 959467359, 508733002, 456794833, 192479020, 782368409, 946941774, 508225725, 845151666, 757021787, 11852953, 426839572, 952076607, 263498955, 35248595, 416565801, 967901679, 148023460, 473855923, 741063813, 346800241, 789574735, 926858564, 805828814, 71877992, 602911943, 969732358, 697353691, 504236400, 858943267, 462708483, 732445350, 774210978, 550116759, 593523449, 152329914, 17003552, 512496348, 682986914, 151844832, 878060054, 639156802, 416262935, 343861767, 466598722, 441823423, 847407662, 444059217, 598541444, 206145786, 905678286, 39900405, 881030847, 578689908, 520885120, 203515444, 839606289, 834972735, 685762610, 15535481, 459518283, 182044078, 972304645, 574831946, 597440129, 367695378, 13481047, 104576215, 895763058, 302747884, 295148202, 606022765, 488195282, 873885990, 80979412, 142031327, 44713183, 967350900, 930770971, 935975028, 109521301, 621616715, 294545885, 767917393, 173596790, 803692455, 254027543, 231844491, 50925047, 296840164, 555182750, 481209745, 129544882, 201760309, 65427737, 920778328, 126415808, 344671253, 115903192, 297974741, 730451028, 656191981, 962671712, 451741635, 397830946, 290804307, 995859886, 96304453, 758636649, 93226984, 562264628, 234075960, 935354869, 993147690, 72199716, 821104845, 902019363, 408486333, 29806843, 854188846, 173677282, 433677588, 601909526, 607373696, 411902280, 903674072, 533310710, 719996428, 123798261, 853901207, 784712047, 580814967, 422343341, 184458258, 331036863, 719089129, 56687009, 727305623, 10505150, 554666726, 687917431, 422969386, 452309646, 483143539, 684233345, 18422156, 947475923, 197111345, 923274635, 429634573, 702013672, 590539663, 743981111, 369604007, 502656441, 359234698, 451750187, 668240729, 73095826, 808063249, 924208236, 78358005, 858333327, 226378829, 518630657, 325070435, 295724232, 404441959, 453763775, 176533752, 731791310, 655599972, 814201578, 635711576, 506243121, 890581558, 341178872, 30730907, 844139187, 663658331, 813819081, 276778941, 621043020, 816802569, 801239729, 343690782, 491261780, 792003677, 113754301, 993944373, 994774191, 132323212, 929089437, 492907353, 45972438, 299909396, 476267367, 277750585, 728249004, 775561144, 43677178, 751638316, 94252671, 630440710, 280254059, 741737508, 62042212, 736373674, 887044237, 194168735, 192147276, 358141209, 203609442, 966838986, 316814460, 146639862, 33023784, 35633445, 677055162, 139593229, 834937259, 467877931, 108454529, 578864060, 817023534, 955042861, 212189492, 293552922, 320335134, 397081992, 710146963, 268801388, 12254519, 409405312, 367354747, 437019283, 527099222, 313325765, 341275642, 559281989, 517311276, 510208979, 387435500, 57760131, 525272792, 311055374, 716279565, 509932816, 699481115, 4518172, 831812160, 100156023, 765154519, 853284968, 736902460, 438062931, 920323927, 948921445, 949525947, 576596800, 533680172, 609843398, 892567487, 610335839, 720364430, 577758994, 42116222, 185673628, 410312022, 307329717, 225713657, 76175319, 53383780, 778350931, 850252696, 455734239, 610781624, 124630875, 704913301, 566480413, 692226216, 421612326, 854048636, 214665148, 696939401, 245168864, 839122852, 807699489, 687573007, 979535160, 105568231, 751741029, 842243625, 457441155, 481220919, 290556609, 350722664, 837611607, 317287777, 273196923, 458510682, 317535448, 64328696, 175771246, 979504270, 600673554, 874142064, 531414084, 856848107, 618151222, 130645002, 35674494, 451820005, 146854450, 482989768, 682814913, 860836769, 557419123, 709258586, 930747946, 69989421, 985592585, 439104631, 808893313, 518194884, 724915252, 70193356, 226870070, 179856913, 651293752, 462282575, 907462923, 53619567, 59113825, 713899706, 303757577, 217091576, 806157979, 7629132, 752417608, 25134135, 230668707, 25491256, 120733976, 345134978, 706511419, 506161004, 27961297, 394087167, 917876255, 424193232, 112168588, 328315026, 525803170, 352291403, 437956888, 200939293, 607400817, 335785243, 539339506, 250592051, 395018560, 289859738, 933351600, 436062217, 762180759, 203018383, 193935830, 174697567, 631989541, 330938543, 97398701, 42062082, 671037790, 913744665, 397347567, 533566166, 680579952, 410762153, 605738870, 544268183, 148777629, 613775172, 390660648, 209749730, 674386898, 133946564, 573888832, 220468714, 608770505, 266225724, 525838830, 821543506, 760695755, 834674815, 852234541, 496349497, 16580828, 788375701, 722788328, 587414480, 764950425, 677619079, 229538080, 262833492, 965241024, 959335483, 844395882, 94831131, 677186099, 908922190, 286807296, 715829792, 86681542, 418755552, 681214582, 240002809, 666843173, 844668228, 681221441, 853618471, 44264483, 113267847, 975151776, 673568256, 363360749, 494774531, 500391532, 718826516, 823774419, 793974162, 45937234, 415352723, 218951283, 683103946, 930256343, 846413605, 312415291, 486438396, 878619430, 332691447, 928441966, 235681941, 877843786, 476907306, 756951270, 905234732, 893140207, 681005111, 980599887, 340756284, 574163268, 391289180, 694874731, 376263165, 507996342, 227407153, 321650006, 379974232, 677850097, 650084971, 41580068, 914071771, 955939789, 157095553, 316751986, 563529368, 834530988, 936983896, 149054899, 348708444, 613940856, 378560900, 530189900, 722593705, 475114403, 858101911, 802178788, 898692142, 988425221, 565402778, 133298659, 891917148, 61742607, 648422796, 628277187, 838345023, 683435106, 826691308, 347176437, 368689884, 784070742, 235114105, 819284720, 734455185, 895782308, 246180643, 646609892, 258185080, 844853751, 619766469, 5241087, 833101197, 172480987, 811529343, 217304843, 992659187, 708551240, 352108675, 960478452, 923086838, 75836578, 543760106, 674812932, 533457866, 498924903, 192940064, 889427563, 675202708, 667040170, 547446115, 393186707, 739030743, 98567681, 421997733, 512521823, 140810054, 522691281, 922266145, 243130627, 70281443, 83041501, 897627171, 426413991, 4500255, 844950065, 420218935, 791861539, 521426799, 560950022, 632773253, 528873936, 97325327, 260764153, 197765823, 972550080, 976524480, 207668912, 707436055, 47550474, 232206124, 50815648, 636139773, 660579400, 656783677, 195910028, 10734120, 508851321, 29183177, 550885614, 453080374, 611969121, 810062019, 963801027, 178448514, 193889350, 52382659, 286000418, 323883250, 303928879, 468118652, 73327722, 454601640, 992958374, 309161105, 701030972, 732866595, 378198202, 646677613, 769451424, 652277369, 784046748, 923975282, 649164388, 836022753, 619468275, 651711884, 48427200, 657794789, 171574199, 30781222, 464779355, 442486624, 591400900, 74817215, 282468589, 881544300, 287432058, 206635809, 325315665, 279849705, 344426700, 568243898, 733128775, 801546642, 640898795, 991051624, 203915171, 578538736, 20266722, 651673429, 247590288, 357508818, 552701476, 440071757, 401557259, 911578672, 283262758, 984815008, 72209635, 251252450, 642933132, 349260490, 903198902, 451861685, 429520743, 404139691, 114686837, 530338035, 29951033, 650335710, 674564378, 823917080, 601825991, 388602660, 720149357, 227250638, 694669871, 94426948, 47253924, 527639684, 509840425, 48000295, 535162897, 620863911, 208121147, 391155956, 637059679, 893215098, 484930157, 350943451, 56143212, 344829811, 529801577, 160630482, 212264158, 774379344, 351505060, 635315566, 998927541, 157464482, 233684201, 188220607, 204982739, 940886275, 216320300, 597628899, 685407172, 252649972, 756859966, 128245763, 344983008, 57374439, 131464170, 615635414, 237424800, 482317509, 868780551, 492298067, 75941773, 109925184, 408395553, 880232169, 757447268, 687153089, 56397958, 344179982, 691219827, 56281370, 868607418, 966428978, 455688564, 761819773, 321663709, 157261220, 149537586, 195503800, 812747816, 800858322, 487147941, 554424950, 246724296, 736952532, 150133067, 879688858, 511633520, 108547571, 48733488, 886065812, 519474799, 753594171, 578989355, 48168912, 504826003, 653944510, 968256524, 192960339, 845355083, 638757619, 816845325, 776464153, 284592586, 885790772, 235179996, 559308317, 377567749, 242328361, 674866507, 759954347, 969560540, 295999446, 797323221, 882482086, 764617035, 35002677, 69172354, 105551761, 496944497, 468364054, 562193207, 760690711, 34815681, 366619790, 396338313, 409434044, 838576360, 439243295, 879091893, 764116122, 403070129, 162206649, 688410978, 995391129, 241271573, 201172885, 129622951, 916143520, 89510248, 777325620, 526386474, 605493718, 923411604, 784785629, 451558183, 922551580, 452203976, 614799899, 536097825, 43766968, 402465100, 821738636, 766332340, 673754929, 329464259, 401288202, 544948171, 161296876, 221901174, 721972832, 265249440, 196852938, 221651406, 344004670, 11261071, 883866161, 858037513, 999739220, 707406269, 647917352, 572872470, 825830605, 991352818, 508273313, 811870564, 752893475, 935822791, 910177921, 629811832, 87145884, 930258390, 29537611, 890802706, 551047464, 343035641, 997703795, 471351161, 938606874, 745456757, 268083428, 901714215, 927772416, 765960790, 24508903, 916619048, 265458301, 796704377, 634720762, 627147733, 802272475, 776984150, 996485655, 548157013, 142110843, 716392152, 864808446, 808754718, 764392405, 675088725, 358101778, 999510791, 485929314, 52835048, 160209249, 152802818, 672744681, 976607981, 697056654, 651167306, 493973947, 637983741, 849191636, 311531414, 52931943, 142611574, 742288255, 495923299, 692605819, 368900034, 360772910, 716177323, 740867530, 444316590, 736505207, 942980380, 514754361, 829534286, 460117505, 168592952, 879380748, 811743581, 445408105, 598755970, 634541771, 726545831, 778898068, 134859486, 307663066, 731631239, 511315214, 171437141, 414355920, 992900837, 989238289, 432809009, 673503506, 611065310, 801149231, 932669225, 604782682, 300969971, 61753328, 69784726, 764892843, 856688647, 265234965, 916929828, 598362768, 937664444, 672381810, 509414539, 402587159, 305023485, 715387335, 635676618, 746647237, 69345528, 434436134, 993123577, 793635137, 995139457, 876563527, 986730714, 565982769, 136629143, 998911247, 42984641, 565395143, 245660276, 303055731, 21235930, 924083843, 865572097, 9590985, 731868945, 68699531, 305276478, 630622297, 225132652, 115959947, 600340953, 392134549, 321163476, 52381326, 401886510, 67160112, 26556850, 388625186, 882072412, 579658284, 853990097, 365837276, 401462505, 878945031, 587483102, 686409621, 905768823, 377983047, 71089629, 72813572, 513654167, 355403463, 808042275, 675303681, 255570242, 16142284, 186952507, 258784944, 809161833, 976905609, 735063787, 401533489, 209152590, 670576063, 395718926, 134136681, 848581273, 324188301, 940416774, 3654149, 880803961, 111627822, 333242350, 484398331, 821496495, 653788181, 94551982, 332625209, 109485981, 405309324, 967278837, 779898013, 162155505, 817289648, 214179507, 911562593, 104057462, 981676340, 362394984, 292762382, 523970729, 122087581, 52929677, 77580388, 740660794, 409165718, 432087289, 90518256, 396568912, 62730687, 494126732, 530822156, 444160081, 269372410, 13544963, 238024512, 889058075, 311508940, 388286696, 297291369, 989009812, 922751761, 36957370, 559481480, 68283427, 337576586, 929624300, 663562937, 709580219, 423932956, 368919144, 634553916, 217318479, 903860449, 42555110, 869486039, 300383653, 617838464, 165613951, 938608046, 952763726, 229689389, 514481480, 662590224, 318254559, 177847862, 603701410, 953093723, 678552383, 524361638, 518621982, 83524316, 298381417, 481688608, 488430590, 723431923, 869764527, 161002847, 349599614, 179815660, 582868051, 597633518, 811388361, 812368800, 916842283, 98799713, 15888143, 533305176, 322575546, 146696457, 776704479, 800484601, 403989946, 786064931, 379681009, 536176554, 394135659, 904228305, 770721983, 321892804, 353383813, 707622662, 164386384, 643475333, 103612459, 873923411, 419819702, 656697625, 616632211, 32981178, 90592628, 11268692, 271740308, 123208160, 401084923, 806102458, 616814390, 105018622, 29725533, 107842426, 535466463, 259068045, 812045590, 488230438, 311469982, 59870257, 248692410, 216310648, 949945793, 571392323, 112896397, 132246696, 331578634, 677452537, 254982251, 617415555, 103051260, 127883316, 300217651, 270899255, 243834588, 325323257, 511760204, 654590460, 280151316, 623275330, 15429939, 687341326, 926955745, 326957373, 484412951, 543107233, 874717104, 165528270, 369128639, 703535519, 279764353, 107903664, 896067598, 533788873, 568714974, 605711581, 297401308, 966500872, 869354117, 196170273, 835285782, 430911187, 303794005, 375870326, 276387423, 923975170, 178953028, 261023706, 189311877, 274299531, 796745701, 478067124, 50441558, 161403949, 866885738, 810981592, 773366553, 580785342, 37903099, 209862609, 649476435, 302347862, 549425945, 842272730, 835948578, 680952477, 271147694, 270961407, 763143034, 632412168, 865217851, 923550785, 206079725, 420586269, 799701054, 114994376, 416385747, 830944790, 337607035, 715665117, 800633857, 976965746, 173027967, 846548442, 436422307, 75730865, 462235105, 179401832, 221378691, 944407173, 160127530, 345153656, 543692161, 483702958, 92057840, 971506228, 279937154, 477293598, 77548566, 331391489, 852722776, 765339827, 718713237, 222818622, 894450660, 551544118, 936430017, 16168034, 491793612, 902399490, 809919345, 477794887, 895174489, 287393876, 491434744, 450293316, 426530152, 558999004, 696945012, 384049721, 410261235, 97933182, 200680637, 185349638, 766153575, 87929963, 307892758, 321059538, 890233666, 309611078, 670647726, 551732814, 145310871, 313627502, 245966363, 824533718, 377453223, 171339762, 858064970, 341523746, 402713469, 40873556, 253225403, 81290980, 733417629, 37758374, 25114969, 784141317, 899825618, 812205427, 736853177, 723536791, 80400721, 816209210, 953489114, 491588768, 773647691, 521293359, 702766242, 199430356, 793155978, 801187870, 600216723, 389956443, 469128753, 882010142, 268305050, 530116497, 597406520, 577408066, 915735486, 947091940, 376026355, 605337957, 55095498, 119085681, 304606837, 491020121, 381644720, 8759261, 200755830, 889074611, 629777262, 906681287, 692314422, 936650445, 766468853, 335572390, 101919549, 739729337, 500388678, 912201004, 172874399, 482307649, 4095673, 395998648, 708404726, 832118048, 973014190, 218026184, 701267271, 542820428, 460126794, 488819498, 221205037, 670641271, 317555577, 498454373, 70163853, 68833048, 390535526, 168158476, 347551838, 464211638, 518506743, 915334316, 493577721, 417266195, 225221304, 785865460, 154790355, 227397125, 149306691, 722667819, 531408060, 509922263, 145728031, 399444814, 995947710, 537708929, 990326565, 879870733, 662469984, 186757688, 142371740, 367187412, 444561814, 172932415, 607696874, 293125151, 477097829, 198004047, 658592660, 885565462, 735812337, 203387210, 802997509, 14720734, 761951290, 120766677, 728501286, 497299105, 202066779, 990099218, 978158440, 671146272, 447770334, 193802216, 252660930, 505582646, 822267798, 407634040, 20405485, 414420025, 677709080, 685829119, 3358990, 833392572, 785780720, 17255269, 392153236, 372462024, 347644795, 150796706, 731726650, 420347065, 590196723, 441866825, 304300753, 538409041, 801873276, 190701861, 241562168, 176428676, 144648867, 364592967, 926186201, 256888551, 151970011, 724208570, 405651423, 699414150, 944332303, 975615975, 807767907, 907839519, 866178192, 620153433, 870796990, 667255944, 636640938, 661902467, 197602057, 177912062, 401597122, 639989973, 618826656, 306891431, 393213341, 179716395, 218872865, 645320644, 458659307, 435398080, 499702679, 210992247, 591809588, 946748785, 52693828, 942033706, 364168263, 948793106, 531055027, 381088744, 147989894, 614379709, 97447387, 864062105, 261816467, 829674983, 651113979, 598024344, 631642380, 878672990, 396566849, 86435122, 956323221, 566225960, 214237259, 322392165, 603391567, 755797413, 141925056, 886296702, 631007649, 270700915, 511209009, 944111816, 246229654, 593627539, 495584646, 964177676, 626856074, 420586797, 292246522, 702975773, 395861055, 429546334, 979717573, 633551830, 463561159, 42089758, 153886383, 663600476, 593835618, 643602361, 279708686, 611773378, 652395358, 665832971, 566503289, 940759769, 829919345, 84911913, 33848036, 218077142, 805816201, 257315906, 287290311, 512378183, 124295045, 537101359, 869865632, 60169310, 949896725, 895200317, 745772369, 918116608, 929957653, 308354420, 466171888, 826190947, 676980663, 762208763, 490716418, 765189435, 243171423, 719624691, 671376257, 256041224, 650609602, 500423092, 171620436, 104022575, 803273831, 170408275, 380146168, 439029363, 92966740, 190727326, 371082725, 520103943, 861152372, 373302844, 586626657, 18855617, 667959685, 349778558, 859177732, 625998006, 988548264, 615111162, 307766823, 835458789, 61524304, 580918193, 490303308, 561014985, 384218539, 894108139, 213124033, 594918271, 325819490, 93988505, 68530576, 870566218, 992034269, 28497569, 765795488, 810466544, 698914910, 903245931, 399362109, 52461938, 513569711, 704842936, 5740928, 133930666, 614786644, 812574471, 27873113, 75961449, 772005911, 734312701, 98165838, 484025330, 663201194, 730948457, 510345543, 213245720, 367915571, 564045725, 204204197, 932759820, 685406721, 727127191, 899213229, 404998382, 623483368, 638187727, 279218558, 363304743, 817550756, 331586479, 367285814, 628969182, 162834044, 665620180, 42879863, 295895973, 845433367, 116737024, 681567555, 241742271, 965822757, 476558217, 601139452, 728337800, 77383824, 181931848, 286188985, 495793646, 17211381, 661760786, 935863207, 168621316, 87385813, 837648601, 787820526, 378983903, 933476077, 774830545, 44172938, 227254170, 339957832, 934667268, 369760544, 503349334, 1300610, 30194697, 294492957, 860230577, 431277771, 260933439, 249530981, 404844917, 715524925, 519110372, 149482339, 475687065, 20809637, 187081805, 303630298, 142098294, 42488725, 225275226, 273293966, 146793419, 521067909, 557259613, 538114914, 288022823, 505188527, 950451136, 542197132, 510285571, 83615108, 203572573, 721186910, 105606839, 381999636, 773650688, 26888501, 198575715, 66580867, 661393874, 782163377, 2980831, 358473041, 563989103, 909593567, 137669380, 557820305, 113095562, 877368595, 674966579, 265562610, 166961905, 617447197, 887834030, 333722460, 55345974, 474261352, 134399905, 317291596, 752893094, 173797853, 771515640, 692149519, 931631417, 770987563, 980954737, 904734549, 378032296, 735405168, 470399345, 5223343, 479821075, 76741115, 989581048, 464714214, 518851647, 360828038, 996151474, 937390374, 315420064, 483668734, 99505404, 532161887, 914494410, 304192285, 306356634, 443542747, 953369482, 133673137, 460118104, 382475159, 405243685, 643954148, 464970023, 635694851, 71988540, 727815720, 822761199, 49783590, 777292906, 162800216, 613035651, 107737561, 962462769, 260957505, 742174756, 377778448, 669589216, 618683022, 36928359, 424362506, 650509454, 616116159, 690227938, 883519558, 987357226, 601689899, 586888860, 387493489, 709735608, 349887464, 112413828, 503103568, 984401736, 94569181, 784431985, 669806977, 46385063, 34683728, 432687935, 474018040, 508406096, 134374082, 918667499, 860575247, 36241328, 482182020, 714755365, 727326641, 561704795, 882354829, 433727391, 284082888, 738656970, 427655948, 143183496, 732865635, 209324256, 976744265, 402560415, 199682761, 939326070, 30651731, 34853947, 37232901, 283006825, 141780434, 906944728, 123067972, 223535420, 11646228, 403349389, 602609961, 675930780, 868075260, 856394108, 341033628, 515327198, 811887611, 969170618, 516571935, 391924100, 644876227, 933096835, 22807274, 340117802, 415408026, 5547985, 164367545, 614670634, 637294122, 790715161, 124399409, 877926096, 584343287, 783307204, 845652875, 920175812, 724031081, 489205272, 592999870, 715141348, 754870919, 514258025, 145055453, 799580773, 403282483, 754151279, 314529142, 36159509, 101472995, 317613485, 107658630, 329403626, 533254384, 29295663, 598671291, 153123433, 626774160, 308699528, 272929534, 126169446, 263447992, 730373908, 262446590, 333664842, 415809542, 198620989, 452989877, 389561813, 687843731, 52109923, 278127158, 91979809, 948713106, 898536543, 796061726, 605610151, 937133816, 576883685, 727289597, 916072755, 887294680, 443985901, 642358078, 408546035, 711619805, 75179366, 865307648, 95893680, 471951979, 756167927, 80786122, 793402127, 78649037, 240779539, 589819856, 958978138, 611637511, 946140423, 893636953, 667516950, 7997866, 604300711, 632010541, 873972503, 631131752, 549429524, 717165010, 348746027, 95238619, 614079314, 698819380, 635627559, 500328634, 199532546, 18140766, 207832216, 401266034, 399116655, 893465913, 500526205, 290600605, 654806666, 366671446, 780674128, 756105026, 501537079, 17361520, 883149953, 680443420, 737835255, 635831786, 826421406, 288748375, 681072556, 775310554, 338083331, 865969486, 188530625, 20776679, 130876610, 406458393, 530090550, 478642156, 196946221, 519055383, 114044597, 139128559, 651847167, 982954587, 844965804, 878040956, 62353954, 935332505, 911616025, 580841829, 221197616, 65887153, 542219308, 226157176, 727189362, 675105093, 323328133, 747370259, 948034449, 414247081, 41121413, 790356886, 476499712, 690407099, 664284945, 775383681, 64722277, 210048143, 834351139, 545551393, 2065049, 952287959, 859679162, 856780670, 809782698, 534142021, 13818955, 431105379, 965385027, 134013072, 202865071, 559431478, 119995433, 37243472, 525476124, 344541499, 440109904, 429565742, 311027744, 783965953, 590536079, 17718156, 307700604, 605653776, 251940451, 693813795, 211942185, 743592536, 70614638, 790805599, 285983908, 491135616, 457646547, 627959560, 570273199, 591317731, 44243485, 33746176, 244127549, 422090531, 244946346, 967603413, 416626923, 282646633, 964419821, 380866430, 627776442, 559651164, 463994093, 977318358, 515991572, 763009233, 787458121, 322099709, 348955125, 175060411, 316941046, 13911777, 389624641, 839172413, 274729974, 360181348, 384597437, 609078213, 264891881, 804755286, 838545014, 542241111, 432206422, 691180874, 113212351, 149244, 709435707, 138407849, 569975309, 653693334, 908486710, 317715783, 221669859, 106238201, 580602141, 888237594, 988596343, 273631392, 758478236, 856043730, 837593374, 943782842, 587388081, 579239540, 767832296, 145461827, 633741245, 840645273, 790580105, 751185222, 624579060, 499518580, 944733832, 29189123, 511597592, 501337168, 641839541, 832500105, 431750222, 786917378, 44826211, 3405666, 283642148, 335756434, 44637757, 429007724, 237649594, 671466264, 301070852, 302251977, 607814738, 492529865, 509896469, 791993432, 826509974, 950141501, 434587278, 200132451, 854674080, 101581156, 809117738, 268145027, 348019255, 27395412, 19531824, 969859497, 828856096, 820915727, 119326883, 207944489, 876788413, 42142078, 744276091, 714331903, 756560325, 226653914, 560498752, 316200008, 497959067, 111220722, 553904348, 990930074, 911056068, 399903610, 165537350, 847470491, 475305663, 602259888, 453937300, 711716400, 332076848, 851950329, 392114634, 210226938, 920594397, 740785008, 587498666, 84276948, 714357099, 861039409, 179911107, 305184440, 546728516, 460749209, 124255529, 13724877, 332991489, 857079878, 662112331, 35198647, 138814131, 811798651, 820686481, 364239785, 65157433, 865982492, 407152012, 362253435, 194228283, 94568838, 62603026, 554652288, 805727087, 257283869, 951021506, 85336919, 341832420, 335479861, 33308057, 751013954, 503888405, 233697326, 488187490, 887275206, 594985441, 832119941, 278565759, 483406838, 524416197, 451058774, 773605442, 628357800, 363680392, 644243528, 210154545, 190314289, 95687297, 778815637, 128938813, 506146360, 232999281, 266284961, 419294959, 985416909, 703417941, 97783891, 140897055, 151847103, 437746353, 203578261, 5235900, 577935268, 912142210, 381629486, 594909629, 949483737, 485072739, 175357182, 779405757, 683491560, 296307771, 331398983, 883035212, 825581906, 837140667, 136333511, 764480513, 518771940, 728267529, 352401977, 974242580, 700400823, 398912481, 665811547, 635594746, 158890307, 326859558, 963490747, 727664775, 375686757, 523904398, 500949844, 464362759, 945478182, 674196808, 405880446, 870271372, 915563184, 523951441, 401847204, 630792705, 496451116, 729942382, 672189552, 484997535, 346279844, 385461435, 996251719, 677938035, 46115834, 270389257, 381981623, 551464765, 56306901, 228034957, 247089304, 619155934, 866152714, 785712927, 60872817, 973888678, 499777525, 424198094, 677149722, 362012181, 602750277, 659408573, 889094210, 537660321, 288456718, 668935626, 169189110, 339691399, 662578177, 288925095, 122879108, 849291049, 308756399, 946664131, 153805056, 483308704, 830016259, 129149136, 502773036, 312312265, 406770600, 956504364, 541059915, 229949428, 270460903, 215657186, 643914165, 248497792, 379704920, 867435729, 99696621, 667917511, 715800801, 947119808, 69433937, 533244994, 413531763, 161759822, 215872503, 128752139, 421768383, 365299332, 815570092, 24612329, 689597831, 839368775, 276694060, 410711452, 231143688, 87526177, 209798370, 386981896, 222540169, 720153433, 334156940, 988335516, 498610949, 641095040, 758997416, 471503543, 405840403, 823635913, 963453175, 389796456, 134859727, 565116944, 655520432, 976908689, 15287562, 173525579, 923126328, 933599959, 18493022, 200433164, 603841862, 233771115, 370386054, 702857570, 524950935, 637328214, 522723476, 857904248, 786967061, 738057317, 791959135, 515404818, 945316587, 720358916, 910725708, 51557301, 367994574, 562738792, 375569226, 969021927, 821834900, 29926609, 580948448, 990141943, 28424974, 106428668, 614678002, 333748456, 895198697, 891104825, 799381086, 676839139, 378809804, 506584328, 668313895, 623790011, 14674258, 985329033, 253905361, 697167280, 112970772, 469464594, 10172235, 392402507, 139262805, 750985758, 598295396, 579497607, 508501945, 396627389, 904655150, 388534310, 987470296, 797971728, 446547116, 304515496, 76658662, 122258339, 257216575, 195438056, 450292681, 970089567, 160364075, 686947112, 910488359, 176509791, 247282195, 206222640, 302276991, 551188671, 629709073, 733254839, 748140098, 371973235, 980188554, 374662086, 628994312, 498311052, 31013667, 89920248, 861692325, 356496556, 422467305, 571544054, 704478905, 685990050, 821278486, 307978767, 240423978, 924000390, 38156173, 81895509, 578235901, 788105824, 25358510, 952500594, 918380037, 673558825, 905628695, 98010129, 989403320, 169645377, 308727183, 343031258, 340942787, 608648268, 148750279, 872756742, 206041206, 865128663, 278226368, 266060436, 985401900, 350884407, 204170892, 404204690, 160341059, 327037641, 430975292, 526070821, 71413476, 783800571, 877632212, 725895674, 62814042, 380445468, 644707242, 705240648, 176597001, 92831030, 107733959, 611326362, 657432952, 69687031, 996677701, 230915540, 323515128, 450739387, 881471900, 584368573, 679560111, 922620212, 820677725, 637916690, 675204495, 973606389, 332763526, 122347876, 731389898, 526871944, 729605012, 986577427, 903387313, 137725640, 62367128, 453651040, 395423870, 823473407, 251466037, 760601029, 852658862, 980365940, 716653084, 771278816, 188877850, 776196840, 206657149, 781784163, 239355293, 663726884, 188657155, 230612681, 342053061, 594167311, 174632924, 639150676, 119326651, 789829862, 717536391, 567052071, 740326314, 732131640, 699610568, 621604968, 247029495, 928990834, 349274655, 20522836, 875859808, 720157605, 951589978, 322161884, 235621855, 409473782, 609007302, 556648580, 8390490, 601490123, 138401717, 144589149, 694018422, 371603226, 524340811, 585499715, 714942877, 207892975, 655023551, 321231063, 45945753, 409961359, 464138239, 973525267, 891328563, 97999747, 439946096, 182411808, 993372456, 228796976, 497178451, 563830627, 888167231, 736495565, 335655228, 536437602, 962269709, 721474015, 305638542, 681842616, 497594033, 732272442, 335687413, 747341891, 178883501, 543111759, 48162938, 773279464, 223141816, 795215725, 641593351, 498912657, 314375697, 772709820, 627400168, 414710102, 926088306, 987657227, 190854327, 77137767, 562484173, 266298378, 581166336, 745653072, 969536419, 543219474, 143769678, 178676485, 860504313, 317563372, 259406622, 717258975, 622870643, 156857528, 251775974, 628169314, 388574373, 895269620, 372024608, 808026632, 27714937, 425062738, 698360762, 77582372, 775160790, 718978129, 566287854, 599362395, 72122246, 54816022, 647279688, 492401984, 514011443, 228822841, 894760401, 432844100, 214438828, 301284660, 681848557, 148795090, 241149751, 845301932, 658582114, 768280041, 947867508, 702901328, 905941552, 174980326, 166357962, 933128731, 204091370, 428325874, 315578609, 426630691, 501437731, 263083171, 313289102, 378024982, 811163074, 896605437, 315420805, 253353560, 143079134, 744444932, 145754841, 238048654, 320305749, 789409073, 551478604, 187070592, 80323794, 835582219, 163086436, 340370945, 516563283, 878013578, 182387742, 880832226, 912233766, 770659639, 804913180, 673597384, 237817484, 670469668, 948439259, 914969076, 876883565, 89633973, 630977507, 428839562, 912197272, 983113983, 565096697, 685793387, 331565895, 533814312, 625979895, 483785559, 864997348, 437620001, 307834843, 181748831, 900521518, 423360488, 188001069, 130035767, 150317880, 594002074, 737216307, 957171552, 109978028, 198143309, 966900500, 856062976, 303577280, 697525840, 137336397, 543672041, 784204026, 211380076, 325559882, 63801235, 501829366, 951165833, 519903387, 47802369, 41407174, 348614142, 773779652, 724084450, 604561140, 16764475, 381926008, 663968842, 335278421, 570428434, 41859330, 609202142, 427128913, 844714942, 945291393, 337730901, 501477967, 630750258, 286423732, 974621563, 623881546, 559317712, 405179056, 705962120, 496168946, 901286323, 980178638, 713832492, 989740250, 336259995, 213632017, 380347256, 876831772, 427075652, 998613200, 709267859, 965569922, 41037362, 639543265, 389779466, 444948947, 187437238, 907115341, 738161343, 486912589, 922324875, 125514310, 787003433, 300033978, 490101878, 606096007, 39746711, 196431154, 319239330, 957651710, 287029057, 932724963, 891922484, 399632361, 749794095, 427710809, 881703527, 846511386, 489290705, 879900606, 8646401, 119999740, 406954807, 856909016, 277756403, 517076984, 684896561, 558258782, 804572941, 10782320, 656251647, 689100239, 825230437, 197063603, 29355297, 525896150, 552354982, 245945992, 716590226, 435211993, 215670339, 581877531, 49533339, 889657698, 820871438, 175082498, 33833647, 509779831, 523238406, 920160333, 605220052, 971853347, 356338937, 714475918, 437068095, 883251094, 414745864, 281048399, 400205615, 75008093, 201050530, 599930129, 887752971, 206052048, 255208993, 515885823, 859465453, 61522625, 53653198, 248587976, 998377410, 292514883, 670336885, 542566520, 484741680, 363322089, 428025067, 843128984, 608770057, 484694981, 353867676, 713740051, 145546920, 76632583, 462978899, 277190053, 405095494, 651425185, 2382353, 263770364, 86277363, 452278581, 508865559, 521364427, 347277539, 551370929, 478459301, 970196761, 334959179, 496894344, 845482053, 400294502, 61097412, 867906140, 51232511, 561804829, 56493562, 743579313, 875454964, 936730013, 887763707, 592096434, 229083337, 731371594, 536002704, 359472383, 408541095, 734879479, 508901650, 747347318, 51232778, 895476482, 188565043, 706729304, 139901244, 926927420, 548754632, 141389560, 539649339, 158092537, 853986578, 654482596, 350057482, 913000620, 377565459, 307005708, 572393240, 852651005, 202774458, 429029628, 538388583, 43243475, 614756376, 51612641, 806492929, 316664749, 119722652, 438856731, 339203041, 302246810, 310809883, 885372574, 938960106, 365961503, 661174049, 609350538, 892229590, 503760913, 440869156, 514731486, 862133031, 384774904, 605564512, 63342572, 619062769, 252318734, 850972184, 230502227, 839170044, 228638321, 321910896, 723598918, 310871881, 973470739, 929234324, 672118224, 59832857, 672553980, 473573851, 812341883, 390256933, 831384735, 193583011, 768624917, 101233160, 274250373, 526688062, 40426463, 689997032, 626300471, 984080254, 599299291, 361085179, 973969617, 136845671, 161245930, 10071770, 361925808, 849684956, 372327818, 666148904, 387759756, 167894470, 737125008, 784171134, 351376990, 353005609, 528023496, 994243522, 145214693, 619775288, 995717305, 403556058, 919508318, 373903425, 607868194, 617217521, 40505437, 549781282, 261528354, 468079334, 450096082, 919937528, 954336956, 812408577, 727430643, 397690443, 213042333, 550606512, 858584873, 877844939, 202600987, 891399474, 947584164, 352292550, 149160727, 374169070, 18300689, 603437300, 374339317, 35282235, 112180510, 878994637, 36465305, 726866071, 820658012, 251430562, 416786392, 683150830, 831793699, 139859659, 402598883, 94378261, 39194310, 300461467, 127708158, 352056217, 794473357, 622442097, 382830924, 666482877, 262129358, 18133550, 990016424, 360934944, 979679534, 732899546, 840296224, 953045787, 15373, 997276116, 770433192, 3767936, 452540333, 164983106, 703532049, 139954857, 996501759, 487375711, 279816681, 27915572, 376620567, 844620044, 787507840, 316212934, 525987674, 565802056, 426030674, 978918641, 19201250, 944959094, 870126572, 478617760, 114741511, 451185078, 467321599, 78735171, 971713009, 198766436, 40990175, 700312784, 549261220, 565126202, 360233081, 658669736, 458919164, 583924950, 469097072, 746725301, 512512323, 498510671, 355155210, 628905275, 900264324, 984077594, 815017604, 394046757, 390673621, 586457485, 574770808, 317048357, 920220949, 30930886, 456697945, 500132973, 484411951, 450951288, 46588628, 467211643, 803489767, 729288942, 642342948, 269468742, 609784032, 983602674, 496366014, 980735884, 391164265, 750244820, 983199393, 14534793, 86476794, 755273961, 469047061, 839464113, 341600711, 835890878, 449647058, 732659769, 896136688, 297447478, 430114134, 297298388, 735034405, 696491188, 582165853, 160080174, 230225608, 801097214, 463371504, 730572047, 511669560, 851303472, 736127240, 449536227, 962730017, 645368139, 406802233, 402436153, 389650282, 98550855, 756967866, 58232260, 212733957, 610967177, 879316604, 61078811, 378127748, 144198419, 575051398, 320426193, 175610390, 120126405, 509335018, 6981649, 301776696, 395893113, 159983082, 334565426, 222906151, 808501696, 182794663, 961727838, 241712984, 616507619, 895479993, 295669833, 432000326, 613402744, 554238745, 811907672, 567682361, 176439617, 481239439, 688703675, 573780415, 201007674, 785359569, 314725441, 788191419, 829737775, 682144896, 380655130, 513392046, 858810819, 881642267, 174994365, 108327454, 498226452, 361670275, 37956596, 209715234, 535805938, 682438159, 688437803, 953138512, 951169768, 616929900, 689590842, 271963035, 606223204, 419207728, 302205192, 438554755, 54546966, 284660638, 218128197, 550210681, 843253862, 220634105, 410861308, 349174655, 272621424, 352222459, 736508794, 588771734, 779370090, 857480902, 745677570, 693618527, 735862941, 291877913, 531950257, 720670626, 49812239, 357449331, 395235959, 746868290, 44791195, 808625255, 189323893, 855330218, 746778175, 87995227, 77312615, 456430459, 853075529, 101585697, 276859281, 43518050, 722471123, 722042764, 326599861, 968788127, 146630605, 250602068, 102659130, 729014644, 275090663, 482445211, 598774619, 510029883, 58120426, 499112705, 719152897, 677976947, 598822977, 474334335, 658214181, 628543567, 198895256, 720727644, 864823889, 224673013, 188577003, 854536343, 541768863, 576922483, 377733930, 574384508, 784470426, 421210855, 486498132, 696605683, 539927073, 913820694, 636841536, 863096350, 151370672, 256859243, 132566970, 211124277, 369184892, 723244961, 959044623, 595290980, 493680576, 922202350, 694442637, 609620081, 518921681, 164764484, 762391857, 156113384, 507359211, 790101723, 660159745, 232201150, 163795322, 55435734, 978677744, 633035787, 71508471, 827918514, 887484062, 243535150, 708503351, 294089871, 260805695, 174907109, 84168836, 344019606, 977977540, 896617804, 693162593, 585029938, 917405736, 771611389, 979099181, 566254971, 793501372, 404234249, 800615917, 122862319, 78710425, 577044214, 762930623, 894340720, 129593303, 425182056, 23199828, 590275301, 399912770, 648190306, 83038023, 604004991, 100509851, 269816559, 398677867, 747522278, 685777269, 927006982, 875059926, 88443430, 598888934, 147807703, 949519026, 936384185, 887799770, 186171577, 8059881, 721670213, 182003147, 639103104, 695737162, 589925957, 672603871, 882623802, 999712032, 599173840, 398962414, 171808060, 733820300, 346838708, 308205730, 526788208, 534291804, 310573422, 457045868, 489540142, 331000898, 939538987, 976217559, 711582303, 892978643, 967180419, 53721378, 561689789, 108654321, 655043893, 427740996, 17492617, 570256158, 854377660, 112234644, 709219699, 856186789, 380316988, 662367450, 767795126, 73630187, 426956061, 474693065, 86603869, 911968255, 790864362, 751647647, 993277827, 360358821, 703587670, 146868131, 17728860, 595136778, 132116878, 709047013, 216041957, 249025134, 433801233, 609398788, 620998759, 592373554, 48930352, 947068547, 94276598, 704898842, 964321413, 660060113, 419244928, 158403352, 853027779, 524017971, 359123313, 649782863, 180686177, 169871864, 392286647, 543618265, 36395324, 882984626, 847584966, 528682648, 768470106, 550441400, 108742834, 24858159, 397686273, 229789564, 270236369, 754705661, 544346930, 511718913, 129781482, 850548701, 19515091, 360512585, 244238204, 760696462, 521997713, 835451249, 194050124, 50626355, 660986784, 571454222, 496473620, 417900158, 504954919, 327639000, 368523957, 543753455, 60778331, 892473911, 584418233, 620057786, 612393155, 620364848, 530701726, 593568870, 732499260, 360410387, 386081400, 153718913, 400703436, 52867793, 769688712, 464179773, 607771841, 841338427, 868322901, 49905572, 631960808, 856455674, 337570224, 125180096, 798665259, 800421995, 740986502, 220866814, 414431716, 636022647, 49459486, 554740424, 38853209, 120471779, 480649060, 640098475, 384093864, 798791246, 48595479, 110996841, 265266820, 545079580, 238761053, 457349771, 409315974, 755455249, 558224387, 728623114, 639065995, 246199180, 9114078, 225012306, 724747213, 727230867, 264380695, 677643822, 312193883, 781420614, 117169346, 665402836, 657919421, 527488860, 689166624, 124603220, 548287749, 360722402, 656652841, 467540246, 670564529, 4216198, 900130653, 555635685, 496703242, 463601738, 304296113, 559035322, 295297828, 311010352, 509385968, 853958649, 784173712, 127573317, 122812045, 217934172, 625465655, 668321558, 983136553, 708122049, 894654344, 844427637, 650748072, 646530810, 687389193, 101128355, 441318268, 376413187, 221763508, 125779457, 69419746, 49203201, 522350807, 625363647, 678678430, 217213394, 603742665, 515749745, 217860539, 582919085, 401084996, 818886876, 328131760, 455008496, 499830688, 722679797, 76509633, 103593814, 818669023, 775740326, 184516199, 7685695, 558716120, 541938693, 642081704, 777680129, 96498325, 655924387, 975970872, 595610703, 77272960, 546596516, 954811927, 595600993, 880808499, 164450087, 735070806, 597118196, 702728380, 731908101, 466569011, 680759384, 764213866, 802780483, 289947056, 61424476, 116058213, 88099621, 971943955, 319991548, 611829200, 963434479, 474668649, 566116429, 505412101, 908789874, 726738654, 369894120, 82620437, 548842377, 232947416, 52327729, 433352283, 414563553, 693512357, 294309348, 596714856, 547113472, 909135606, 347117444, 118662652, 257474198, 480740368, 987000901, 179681175, 880234580, 379159384, 924645285, 796847248, 865753083, 254250388, 290257676, 231170861, 449799767, 698418766, 399766491, 515217698, 765650061, 249587906, 407499750, 93781907, 183610469, 2321929, 615503215, 468784357, 443023406, 88882383, 971803587, 663868099, 59567724, 277565921, 778679221, 71912546, 873227631, 619627840, 778290872, 796854045, 787733744, 439908832, 964615367, 256087313, 534069083, 790431276, 867170327, 901210900, 627783728, 950502565, 807463437, 396981484, 334428065, 14534556, 451158362, 922971190, 453607452, 220884446, 670716684, 247940206, 143047490, 383737193, 181861444, 542367583, 310434015, 250798893, 174685305, 995068011, 900251870, 353883668, 853653357, 483140462, 985454337, 621289480, 483584815, 950985017, 382756065, 564581712, 518789229, 544800656, 163828514, 142985431, 401822910, 103977366, 56329138, 625005290, 975360590, 676281869, 438116056, 401056922, 601614231, 459420890, 346869162, 114812322, 106592353, 42944056, 113258009, 755353747, 500629524, 910954403, 156626096, 676652497, 349118279, 484505817, 501268425, 685217038, 944994198, 24507502, 639641940, 393107567, 703965362, 244781623, 446205114, 824513506, 850329452, 246317929, 27785941, 401609303, 466415365, 535892486, 749608913, 763876056, 38141897, 791780693, 692083459, 957841976, 277456469, 750326627, 386692199, 679331812, 228882113, 29635733, 170783247, 369543560, 940071191, 601840153, 515510752, 626213877, 518077651, 532601014, 889644807, 620490798, 44568272, 55578066, 494086100, 536336366, 42629548, 123971002, 7935435, 561372961, 143788903, 90224380, 850892602, 417749652, 730270646, 836291528, 423611354, 233523814, 498643877, 631188437, 151869452, 400161007, 172309753, 616087847, 444488735, 102987453, 502975554, 810303193, 602557418, 124428976, 505653401, 729059244, 304146295, 90982286, 263588047, 748320961, 388284560, 664777602, 603583560, 717972597, 61087417, 215618977, 840211902, 891379273, 83131294, 161503198, 486562364, 622704586, 264877427, 666348830, 123933071, 669873358, 401703381, 302886540, 597130375, 801044244, 220568814, 459924332, 165190378, 912555972, 184653153, 346049620, 238047377, 812981350, 33648885, 84954214, 38703894, 525908831, 14565868, 274058857, 703513094, 622840516, 506409213, 293150435, 641685287, 508149921, 193569247, 40793630, 908387030, 296289771, 845780867, 94275982, 758613689, 240524383, 725682845, 287220371, 366142532, 567451863, 779259196, 475881056, 327331242, 59228070, 689863636, 915381308, 393764477, 596140071, 96647024, 743679878, 356649233, 514293000, 984239473, 815011605, 87723271, 91180473, 931847415, 376424748, 230608455, 335634883, 568098719, 308553847, 321548022, 170341896, 14470360, 469237965, 828855931, 402919391, 567168715, 317828487, 904022270, 475572924, 979555330, 319664614, 88052342, 126282152, 855178124, 175674539, 830291876, 911100696, 142230218, 643807268, 133170174, 13147186, 34002344, 701157829, 778475383, 901710444, 688532048, 637183689, 46413801, 145050406, 687976624, 976768437, 859986624, 804626066, 533614941, 327073018, 179354321, 493644793, 616544455, 61409701, 561199849, 890304712, 816163611, 423643973, 747483890, 257689900, 165072457, 25381974, 633160565, 815971508, 126806903, 184864224, 415002742, 205366569, 840893602, 241360343, 85499418, 829397184, 587999281, 10329229, 926115830, 210350886, 25504080, 476581111, 123254679, 606895449, 76583042, 192547656, 492773730, 185605358, 400853624, 585033999, 708031336, 412180256, 825964821, 781905042, 622024551, 952983723, 222583759, 616879966, 298725360, 715680135, 349396085, 285729589, 752108659, 801734993, 360171809, 325686472, 116279272, 826125520, 61956937, 764306757, 847006607, 917684861, 700554904, 959829390, 268151651, 904969097, 266054488, 606001497, 999305338, 672369290, 827937986, 374284153, 909965535, 463461955, 181329734, 368463070, 153607173, 889338775, 662155889, 483393033, 963015571, 717181138, 147936010, 784561804, 430248572, 324102226, 880202079, 123233620, 917802285, 144293405, 453677049, 711421792, 106583886, 119046641, 986711377, 63108601, 116054090, 628716319, 513183494, 80261572, 316751255, 800363700, 342616005, 726740720, 252612276, 717991781, 866481209, 917938335, 732476485, 764422159, 269722012, 743800690, 284409016, 727989235, 874444652, 966744323, 878355701, 650660334, 935607095, 980770148, 60988098, 647349136, 888235232, 528353866, 685939846, 465084367, 985222410, 286804540, 875623754, 859757307, 690845559, 202910366, 807788388, 430169902, 449222965, 764440433, 712820280, 308683313, 530594120, 762690091, 765921735, 417113171, 28657474, 771790122, 710730219, 716324025, 788337348, 800552416, 277705688, 675792678, 520222859, 19101338, 115476223, 574633083, 413051437, 619524949, 378328913, 505468651, 786725263, 709756403, 321326995, 310941073, 621895323, 621230616, 645842220, 12042243, 470841862, 488443792, 358687185, 646523599, 432254545, 772964663, 726214518, 395501656, 460770024, 482294903, 401612651, 941205432, 56311955, 170972877, 95942260, 762227625, 139512858, 42862214, 676597626, 399276082, 629808305, 265909890, 289731895, 478466102, 522204670, 697572365, 799059260, 991358480, 254968398, 792878964, 548993540, 356779601, 633899380, 440095962, 816989624, 451952360, 896608073, 782136977, 481902314, 131662046, 648075590, 843461974, 600545643, 384565027, 940618194, 340121157, 132455962, 282109091, 401143692, 173730048, 43386970, 915624202, 449233431, 290531651, 164608350, 288911136, 306149316, 397014374, 341870390, 374222400, 653219180, 650258368, 985113901, 29587607, 378210148, 382362307, 462951324, 632160640, 323798219, 59930075, 665862878, 131615396, 805553808, 123685153, 546460986, 535762293, 547351310, 464311112, 634134582, 942546823, 680826928, 688756691, 323417483, 430368764, 966171665, 900326677, 297695148, 592525187, 233277586, 283751243, 326987011, 727699483, 620667137, 24576546, 551583990, 874888429, 414096503, 239700718, 268682217, 695415821, 539902199, 759940925, 552778296, 133226163, 711262134, 888809295, 879849362, 469534637, 870673379, 390399328, 635493568, 111265962, 963789334, 986027263, 56643179, 370605889, 66783933, 494742526, 989615807, 840579315, 413811219, 184203386, 838344520, 832011031, 497062359, 98591176, 308978043, 577580567, 160029493, 665381845, 826199376, 561995896, 356634123, 790660380, 93745487, 656605956, 464783673, 30450065, 420742524, 958001553, 5066574, 466794373, 334290425, 884049434, 532640488, 930303573, 95485959, 452405146, 680352248, 882338363, 851608258, 962028073, 91511461, 26848662, 529411339, 631241906, 803963521, 725450791, 571362014, 337521211, 643825877, 299214342, 549112875, 272056497, 292506176, 258851704, 915108080, 205002673, 37469240, 307954400, 162981946, 19237505, 130781279, 295820354, 167495545, 813258373, 938910888, 859610879, 20842671, 939634900, 121819605, 873045113, 88077986, 697976440, 686493734, 143527769, 974984554, 503739341, 843827083, 892207544, 663354004, 271984781, 504866821, 977702108, 937851518, 283546791, 322114948, 70832123, 127091208, 510663017, 289142859, 959486148, 552138056, 307445015, 726230854, 436760654, 358753429, 133970647, 422607847, 998997500, 846388725, 143892011, 733904539, 620447460, 62229636, 604687395, 697609618, 68176943, 810921443, 341008612, 865563678, 580718837, 405600568, 573155666, 117804850, 957052050, 283958261, 170023882, 768716815, 492256949, 671047038, 7037610, 81522487, 382768011, 667590847, 328951339, 18108822, 904821365, 26946969, 614947723, 341847785, 965917237, 969793156, 602466359, 352581442, 493181037, 567733381, 363667521, 737022209, 32522294, 51065796, 840474078, 454421787, 422273149, 520635536, 57349295, 630738832, 139695705, 591664026, 381004410, 194387693, 934143076, 814209073, 944644236, 89899746, 548184505, 470600647, 176914388, 13202620, 318156580, 457067238, 708692155, 353869759, 550637306, 607004220, 25466895, 979246133, 126018376, 752791373, 877391112, 176801976, 613360760, 692924574, 229677017, 298432239, 393536252, 770960240, 280620434, 300024702, 179602568, 316994063, 446887606, 777808638, 549669447, 611901941, 598935025, 892727733, 55189679, 965052188, 847264126, 321059344, 920165790, 172392689, 861613910, 468551360, 105538994, 735864845, 806799887, 272438802, 274905712, 979443091, 45196455, 43620675, 167615190, 729688143, 676398661, 219210922, 539776453, 907760758, 970531033, 794966680, 872331510, 458741028, 270163883, 933396280, 21038276, 207417919, 599326826, 96220945, 913681184, 788967346, 996348225, 418987639, 838566818, 518070026, 59903215, 981014708, 609860417, 274408060, 396225486, 693228197, 595626986, 204693377, 956645615, 338740107, 60906927, 904343169, 75636732, 478556284, 579754269, 21910851, 238722453, 420951830, 531920503, 383986213, 520548427, 256757951, 124066665, 93461619, 2077471, 403361689, 263728569, 396418090, 365963283, 388231696, 147555407, 476723696, 660297848, 329265544, 797609924, 125905467, 770051127, 59682270, 321822848, 828470157, 916552944, 981426371, 503182462, 455726695, 662124546, 938681627, 419822102, 320226586, 278407800, 319219811, 443769549, 500607983, 883242140, 55348389, 794943858, 331574166, 80245592, 922781789, 209669301, 76199789, 374766480, 158534931, 424243523, 291928807, 457646388, 465821111, 958614286, 837656168, 454092804, 936673035, 380006796, 800441899, 250424783, 515974584, 489699893, 852629576, 604531406, 735370858, 976217974, 458401711, 969732960, 420923194, 406725141, 146051040, 105148925, 516786300, 474023258, 81744693, 275892953, 304688504, 321007350, 162972813, 454460104, 810250044, 207187824, 197563107, 526130816, 761671795, 512030194, 193501971, 149760218, 960173034, 808022810, 745491715, 425530249, 446238038, 562646828, 594030391, 341305742, 738164146, 221953282, 149764579, 640162616, 380067085, 110487770, 364161281, 285118635, 914460090, 238821985, 406473184, 655866498, 924441417, 392848593, 874884845, 249319609, 164835701, 646521440, 967148280, 663937897, 493286202, 992799841, 469168988, 303768833, 828335552, 338290811, 814590628, 666655474, 539781291, 818671891, 327273687, 512171554, 812221636, 89715562, 704234186, 702824149, 313368568, 174895299, 459333224, 574382525, 218996366, 471967931, 37355429, 350687392, 275785144, 489194688, 176254151, 117425351, 442976155, 570636686, 422603672, 756332842, 366800796, 720148055, 188035949, 616049030, 82346053, 799707975, 588691934, 148741776, 132012691, 760304543, 910455751, 896791542, 272164613, 637096497, 693794431, 855435616, 199081630, 442512721, 996731748, 625027741, 70201623, 777520694, 261167516, 69993196, 413088058, 211153187, 966625242, 911079091, 61772631, 942012637, 670449573, 258117252, 379571741, 658373481, 704859575, 534607666, 647079088, 804739664, 103082964, 555109767, 359531571, 771451622, 515015872, 573851672, 999059756, 67279214, 840749794, 358645896, 949476093, 194086593, 446166006, 621237569, 789931885, 186999590, 717206998, 150946432, 45341937, 827381217, 595253894, 246563769, 215325708, 49630993, 130300765, 176543430, 55713747, 983896306, 407115720, 181204509, 732727194, 679633794, 734771012, 868078040, 354564356, 721095009, 794042428, 405820909, 341619155, 231134934, 795032268, 547702012, 386321351, 186008722, 316177138, 686831179, 441491496, 391411187, 696237308, 718510918, 32851549, 253702508, 277336195, 993069436, 93588495, 118973092, 734735787, 63379536, 787685202, 314134397, 299946236, 410558146, 382377017, 907669839, 4068775, 917289804, 224071405, 428152196, 286969670, 515048121, 492159903, 511290562, 278961288, 880054445, 831317239, 940331249, 385114363, 146083032, 340774736, 18544656, 111024787, 272178417, 849199812, 452132842, 496506274, 100970238, 477082340, 639863760, 377886134, 503387824, 669964179, 530342106, 249623415, 781517846, 108091132, 325254883, 851920935, 671379292, 332815304, 608829034, 831494306, 73322231, 244068394, 705025045, 596553667, 861735176, 978269278, 521172544, 785135806, 43876492, 824550781, 594961532, 883502739, 909117020, 601358578, 198037636, 869092343, 107979509, 753709083, 818672202, 887234380, 141881904, 80774801, 818445643, 173779165, 503200000, 701596790, 857795353, 241634972, 187310145, 799968850, 958241101, 863466828, 506703572, 778660690, 136355920, 634188820, 868371483, 256702527, 529908493, 239499193, 901921589, 722604454, 103491651, 21959183, 823982275, 521410600, 570335356, 283901869, 68028593, 312038477, 9636032, 563303200, 160826339, 698697404, 60384525, 239794542, 694360541, 38123004, 591904572, 205038578, 636347009, 536871551, 279802577, 935130183, 92011676, 855330343, 38070037, 867080438, 311630004, 462829192, 864030532, 2031480, 249465063, 788256180, 982279957, 483122707, 782928298, 596768985, 525268382, 875173742, 434816551, 987374634, 367638315, 963534789, 302031868, 399790672, 460905248, 186507161, 389349470, 99622518, 814344562, 351759144, 731126077, 621583958, 251344005, 899499703, 121214452, 207709177, 456566818, 304961539, 865736049, 273981035, 203257476, 761473298, 746825427, 487010960, 863750888, 77708677, 18797616, 746082554, 543614103, 60791106, 904717111, 673900183, 480077192, 140634465, 162245764, 422737487, 892887811, 812643216, 329725747, 985959404, 564524347, 273585890, 33748269, 95723001, 564240115, 932567744, 320183015, 953187309, 877949666, 148959155, 729219902, 441906790, 404996254, 455176671, 727777919, 246597346, 701322262, 452657245, 353871491, 49650551, 13290531, 510246283, 284504615, 973499235, 547076630, 354279041, 858549411, 148291107, 75448038, 3714252, 445462049, 277831922, 379826809, 964087014, 506342279, 306644483, 790067319, 506203203, 780877102, 359328450, 381334446, 94027836, 616704239, 898163616, 712360543, 912045942, 152845202, 821905938, 704925378, 674755564, 1912123, 706892973, 426019148, 800498727, 796157223, 196639938, 77493597, 708486906, 140700465, 834922833, 258288024, 672069010, 439249249, 622953139, 757037634, 378667398, 837978446, 503328271, 60117306, 826268451, 217922656, 1167241, 858709853, 834462474, 930430791, 987946223, 539831445, 709300168, 396376154, 873706965, 171835183, 769784355, 682779692, 787105458, 358668849, 622391437, 682083095, 152543235, 658063092, 960371469, 786475797, 679026011, 75143712, 755987025, 70645268, 453395683, 211752856, 175883161, 321329054, 713292016, 596411351, 164743070, 345440332, 620846154, 956978509, 821724284, 791427977, 174787211, 748766253, 667067738, 613104463, 442627046, 313116099, 969218269, 305325948, 188622344, 72675863, 811428819, 944406265, 34844779, 904588164, 511247173, 391665744, 304161057, 258218462, 494235262, 937705055, 234270790, 100009622, 513055261, 665673529, 361572033, 26323754, 546823550, 697951549, 48533195, 160916410, 156130833, 912538829, 733963007, 534123568, 856642689, 441639916, 506606064, 872022728, 235205416, 52612288, 579678001, 384089714, 358010354, 752398556, 612087609, 904031466, 640716094, 795822362, 363527425, 76353174, 699252062, 907004634, 809750934, 166089748, 861840194, 719465934, 416062009, 544544785, 72112566, 314471950, 889845441, 730054736, 878038632, 974142038, 516842567, 740905556, 274842010, 755941223, 81711499, 386117995, 166514748, 121498832, 965639164, 533259987, 876525631, 533368258, 959801474, 364558976, 803144808, 661669693, 358136176, 809915641, 7805900, 173708053, 872128942, 432502200, 451768679, 479369443, 131130648, 232762235, 530140803, 335029945, 211748079, 204435083, 678474078, 642632168, 461037944, 642932677, 906730420, 520108262, 640349579, 923198814, 572796081, 626457163, 105573278, 413278503, 763991904, 551271705, 250733420, 491464178, 434600715, 503710868, 530541083, 445802035, 829253665, 6697631, 123697930, 401644458, 295323871, 448462139, 516841863, 132881364, 986817394, 129782443, 642184512, 709668083, 605689586, 571992304, 969501554, 78396395, 292328559, 640235053, 984296826, 511685478, 633871284, 44482619, 919686221, 487176028, 722603268, 632140546, 52247053, 544341528, 487644427, 367842787, 463922372, 480104163, 427543686, 635180691, 773466080, 873034167, 73332972, 944704559, 447020080, 24205260, 851725038, 418330208, 596002648, 843329795, 190991872, 479705907, 486340812, 279899230, 436917941, 90645798, 199067624, 489966543, 875175199, 459071647, 623005735, 105266204, 657052233, 973718944, 583138098, 308312065, 631115848, 851469780, 136664422, 971272127, 422335512, 714787819, 77710874, 324540949, 974026443, 299972970, 642151850, 756049538, 204493423, 575055484, 191861888, 329092854, 49673860, 576611981, 474562800, 193976402, 454543341, 86172305, 178084658, 248754004, 226245882, 969960550, 870385476, 942682956, 587351636, 9213622, 471800105, 71527620, 535599317, 388384228, 523342480, 11029451, 164995209, 701041169, 878966574, 613284628, 140572358, 556827188, 234633761, 621480175, 696315631, 642905201, 686052188, 997542404, 477634659, 775170402, 769417795, 121623540, 984533954, 909432703, 62952571, 202232970, 434379071, 377511225, 441228192, 896733101, 389309971, 219721187, 833498718, 546738472, 722200655, 500878869, 872513390, 863957062, 552470138, 50154606, 878006761, 21426953, 466177901, 182515221, 734652813, 224969834, 892408388, 625652223, 731470862, 204780013, 921654404, 544022066, 559152087, 785375746, 515279195, 592377129, 543155790, 617061539, 301873010, 533357193, 498774404, 798673812, 920329664, 542055992, 185324053, 397085491, 947402319, 664620792, 288328673, 545108432, 176793274, 676306204, 545011161, 6244899, 68593778, 51536804, 572526118, 981860509, 20948430, 908704682, 696576913, 958051428, 424303348, 327876939, 372987861, 919513860, 267357957, 193077076, 49543054, 323281840, 445583903, 244876839, 287094760, 638393395, 941755598, 743832611, 461476856, 830685995, 351675570, 193604238, 310114842, 667126317, 91354329, 121185775, 559698441, 619093018, 2760423, 623499997, 934586703, 798518497, 817401859, 386004017, 46405852, 428072597, 99921003, 88426343, 952403222, 541801469, 747926058, 338185892, 305353107, 610991679, 50545766, 773370035, 511542170, 259601543, 973835687, 678476124, 395814187, 144939659, 331167672, 363376650, 518141917, 476833352, 64055072, 290099821, 256826906, 74279031, 178023485, 842814605, 769474672, 60285517, 594727669, 711140474, 971902956, 635819439, 275819585, 557856110, 561071097, 673388705, 375846992, 631631174, 752011259, 381008463, 415423490, 402211702, 611877408, 787061461, 930862077, 904716263, 479910347, 615443106, 661847086, 21258081, 379170980, 810197696, 953120583, 998670497, 435453059, 523290526, 948773787, 483315387, 544885551, 580560417, 696619559, 588021771, 294350698, 999396857, 10314674, 839729817, 367752394, 646337948, 215194833, 349479463, 109065328, 790902589, 194108706, 791072713, 406673403, 14700335, 315997996, 646316681, 591253980, 829615992, 730598653, 352006534, 590184972, 468793448, 363649000, 797163073, 94236777, 387604177, 693097722, 411646602, 597427991, 295092711, 771405730, 405900071, 343635381, 814062215, 818011055, 916027072, 717420854, 594922886, 81413458, 683828747, 43014823, 25548432, 282136107, 701296436, 361833256, 505840731, 953439814, 915508386, 14324568, 555195477, 67415115, 811310727, 316206652, 809867955, 326805707, 831306732, 121577373, 363995019, 596710541, 840383425, 318101884, 19807496, 43632145, 779935421, 485079257, 125951824, 117569620, 636877055, 238670297, 292037696, 777276177, 477813665, 577276847, 458012323, 162436820, 649215751, 735244061, 786206294, 361224032, 367831509, 240259472, 689668860, 276630449, 517316803, 67897630, 777976673, 755218340, 48113229, 788241387, 334394453, 190793524, 14783472, 84961013, 960488704, 369506132, 352401963, 388315224, 163483319, 877917891, 153035398, 45289032, 186072565, 457420974, 828473050, 17779292, 263164993, 783015670, 27985221, 136592420, 862152917, 580708018, 535126971, 486864364, 943734939, 843779833, 17990853, 566537137, 859969907, 934195574, 206710768, 812997784, 44993076, 394542348, 427901643, 629355902, 349098129, 526833314, 1371962, 520203580, 643515057, 20489563, 482625921, 950790440, 781490638, 754543890, 95038737, 577805291, 915861961, 685921442, 939158518, 444806204, 679226159, 733782406, 206609950, 892298629, 831382033, 445688021, 399943457, 145377803, 971732616, 209264648, 596298205, 184601216, 568259821, 165960128, 914493442, 144372062, 917335626, 670219593, 434007154, 930325249, 706531451, 893167050, 290588405, 467888706, 824240672, 346675873, 31573065, 288200855, 104120717, 219850851, 765485075, 207921152, 327319107, 781977225, 278459163, 585409807, 632890500, 768522072, 729862284, 778729878, 41987748, 666142333, 66604899, 10072284, 484002074, 684090423, 796467066, 991007187, 768224816, 922214160, 300103570, 792817421, 534968642, 483185580, 445561941, 591016632, 915305977, 647991372, 258254867, 404373757, 347331094, 333225793, 716852582, 474031264, 318337416, 771389052, 873757014, 711865861, 57604619, 135148358, 771144064, 262424664, 613076790, 67697442, 630388525, 552479623, 77264008, 191423057, 402764854, 525063868, 542557057, 844350630, 478261647, 447905211, 549833431, 952466742, 441236953, 692462827, 789130022, 321084766, 416194919, 460084569, 713946309, 17214264, 356414415, 52358882, 933434406, 933525798, 499872349, 634494060, 627340585, 738324608, 725220816, 455747134, 428821863, 421586069, 735432533, 925266874, 884586904, 512164418, 937087124, 19672522, 75657819, 212953591, 101714357, 914069683, 513183597, 345170035, 735120560, 655807122, 718929141, 855586350, 606741644, 973888756, 25880203, 127259597, 462797431, 355111029, 911758296, 908510409, 989414571, 341480865, 554310244, 298901539, 969420535, 707063751, 831115454, 986715233, 742853620, 446668836, 6735176, 430807403, 309701380, 555723761, 824473396, 528610662, 848644223, 890990179, 68844567, 762988727, 416990675, 775502813, 214055791, 106049075, 723566367, 382549923, 224042942, 795626520, 168814105, 375324907, 765653454, 597302838, 851461829, 147982554, 817915394, 670388519, 97641071, 173923127, 994833882, 140311825, 521561148, 485169470, 56979435, 317037941, 760966471, 32637660, 64557727, 480831442, 178525550, 775939214, 287545435, 50260053, 384801470, 865035171, 232858115, 567617341, 756907194, 574475848, 83581047, 332044164, 120975071, 857538410, 893064690, 355383553, 169577325, 293712211, 711503844, 947948450, 333771027, 448271425, 532567101, 120621051, 284811001, 765060601, 216568205, 177693083, 803414212, 69052602, 632983847, 930918077, 208531481, 919505815, 962910810, 321341476, 969661764, 518754443, 753859476, 597641111, 587964969, 195360556, 691438793, 474918657, 289536132, 280937392, 654544893, 242187956, 680087225, 66241315, 935471324, 337557653, 775573724, 294783971, 8065320, 412128399, 368333746, 927379733, 834977966, 769755422, 840228289, 442284814, 496657769, 143728120, 560571501, 505642215, 40039811, 840443686, 814920206, 108272533, 545505544, 514523829, 827869817, 2441896, 654928768, 343621618, 583177521, 28667891, 812839186, 314466186, 198017458, 322557524, 204083361, 280894502, 919973847, 404154866, 985207545, 812743451, 503353533, 639975055, 449421214, 396390867, 560429791, 428162692, 882808281, 772189854, 779466004, 132425414, 279252789, 101776047, 997775306, 75626453, 834304992, 57478785, 400296791, 888870667, 324876814, 323548005, 15118500, 523705039, 102894672, 293271106, 351942509, 285229991, 743076323, 728611339, 177633988, 207379125, 211155318, 596395294, 330635692, 859050995, 370212493, 606116405, 468180948, 848909443, 877900943, 394573666, 807756930, 760299833, 728099102, 283496623, 540899260, 570933634, 47905545, 946700045, 190423395, 272990692, 212020409, 127257208, 521338802, 378572869, 612412603, 309684398, 949819973, 28351414, 366115473, 66783981, 251332428, 423387050, 491267932, 215162664, 440646022, 73700711, 859707243, 944103710, 363185331, 920288938, 200598740, 569785452, 484623067, 512284489, 939441074, 347005916, 316403992, 174018292, 209475290, 797260944, 152205300, 507508555, 450693898, 507206062, 697366663, 874455400, 527897190, 781661244, 997179766, 807547477, 152855430, 682013714, 23877192, 721676360, 304911417, 338907720, 642906752, 433635207, 925232818, 304902205, 385035337, 149989101, 800673989, 666106307, 443412220, 321715997, 480618341, 127300837, 422258606, 105830976, 616460513, 217596986, 993985795, 787114800, 630331547, 295502996, 741173459, 901186440, 214647289, 370431005, 974876500, 336392099, 217187666, 909281484, 940867194, 971550172, 721523195, 649465855, 973129428, 548407475, 917522633, 919803297, 442829498, 17117185, 562862061, 711630385, 223388895, 902302938, 902825950, 112809835, 776695649, 519183600, 677618459, 842172629, 17007959, 430391477, 471216066, 484726222, 782975094, 376933492, 951623573, 645252542, 31890893, 239507426, 492638308, 591339859, 797975494, 275221423, 411923998, 521298363, 548454533, 636352029, 7407149, 325657114, 17764532, 662158314, 983899258, 62204899, 257827720, 513542996, 461639494, 893148503, 278178466, 325657556, 30680110, 42330126, 3137846, 229355035, 625300960, 143405126, 990999118, 681540797, 482815508, 580828215, 259409717, 270545606, 331436884, 172994971, 18794637, 613674155, 588176421, 189292824, 96324596, 146665692, 899767655, 263348512, 228024674, 503706243, 215699355, 778489491, 173880146, 860237933, 533637207, 407837395, 891977777, 148339793, 39023837, 897801408, 854280827, 879972356, 235405738, 457044945, 265134991, 76893415, 775500283, 105263681, 484250092, 918836350, 739003373, 144782385, 925321221, 776653665, 520994929, 901516302, 996486476, 780076420, 647737189, 884375586, 551832245, 625893209, 843294161, 968555190, 591913123, 577477507, 345714475, 216052753, 812162831, 303903334, 659361814, 749423526, 780095367, 864141506, 946007090, 35482584, 278033273, 27716594, 226440075, 553518442, 212466037, 470158131, 8251636, 104401475, 906492151, 941749716, 967765245, 467895849, 152857011, 126603748, 3278740, 378313325, 191982188, 310383143, 701833350, 681480423, 483109071, 103598102, 712948811, 90922847, 563260129, 262860854, 909394003, 166288486, 38691469, 190307756, 13203742, 772669437, 409976920, 38570600, 315725952, 5567783, 99837513, 429064162, 608597176, 782086760, 967542179, 457868402, 657381540, 484359959, 273467215, 814629525, 771053655, 484396846, 549727464, 773068760, 523072490, 300779742, 44937467, 609627092, 287416062, 770020896, 632492958, 375137547, 44864216, 832781348, 120114558, 327048369, 634459417, 489591103, 341860905, 598093130, 701370662, 788093473, 435778803, 697440796, 88549602, 785122924, 742946850, 723922768, 419036125, 649598866, 844813283, 900009949, 203988276, 371191510, 612833082, 772319562, 620020512, 338169579, 544060422, 16266423, 592091759, 1025175, 199433419, 383479529, 504586886, 195293709, 266672934, 140166996, 198792875, 58438932, 67514518, 294151583, 297088239, 768867012, 809347034, 784160001, 97615493, 357524073, 117498359, 118414851, 213438665, 244319264, 319453548, 307364692, 732237589, 309265821, 660277744, 45338051, 180179910, 367875312, 333703609, 827947986, 152311939, 899413517, 702447384, 550499560, 363251679, 513792449, 157443546, 604480277, 85750987, 794428288, 356127000, 659385501, 672317385, 747587806, 519982134, 257928658, 363720532, 95724194, 199574939, 344545324, 485768648, 210723051, 909735716, 765078136, 82613088, 545323255, 516319127, 954343044, 580658840, 92928570, 648073011, 509938883, 940400257, 23128244, 909000930, 392555062, 801049554, 85909880, 797674267, 302379338, 705691033, 488986141, 239093260, 102557482, 356699949, 278917153, 329516446, 274239437, 233382875, 123574374, 508426029, 182949729, 179729698, 553734942, 741801734, 561952462, 47391152, 19863986, 97306960, 733783954, 959782724, 703407976, 716303114, 316418219, 620163017, 57037848, 486822419, 257673221, 915981752, 658415727, 203130506, 134314615, 800229624, 714260474, 400933635, 839953715, 682302196, 927782539, 897153614, 992317192, 890106386, 334136281, 880480441, 629964799, 893583473, 825641591, 33084216, 264643283, 257479805, 375813094, 823274964, 849796443, 953699688, 370699454, 627543223, 561818772, 743934926, 591918331, 879607652, 397307123, 450238291, 419068976, 539012139, 771073153, 579756364, 398319242, 628223095, 969464342, 890486122, 281882583, 628610058, 807788677, 117302902, 138934073, 552017770, 36487019, 453025991, 196234890, 946660148, 818512605, 906665527, 452294978, 649579018, 217853998, 658637832, 611654580, 811742356, 641463870, 310118861, 206380599, 154671437, 744995622, 522148225, 256580545, 949998179, 322034949, 543721994, 896334555, 758361328, 770052268, 143460361, 50071657, 851247045, 61609561, 886712037, 666666727, 824975136, 253061983, 532149434, 754071213, 61941055, 737331302, 910706031, 281516688, 794176726, 945438182, 554254074, 406048857, 963618539, 371609476, 213798983, 83712611, 186792523, 696939605, 30888672, 966094694, 590381463, 129034753, 399946960, 160250204, 690834700, 903153771, 751097029, 71044949, 314951143, 228423877, 78993464, 29203494, 306777683, 619318660, 958310676, 887961896, 265479404, 305124458, 668995421, 543145125, 622964125, 804004891, 619995093, 172405371, 334206079, 824476711, 722853462, 935876301, 724470980, 816569431, 767596340, 671130622, 502200340, 600383110, 59241655, 532115235, 696180192, 855163213, 18515251, 220608527, 183422539, 349997421, 18156135, 780043290, 905065325, 605728590, 35137863, 10653427, 870447187, 12646052, 766705755, 728775653, 888896621, 91745587, 296206341, 410675576, 251028693, 215077340, 48408999, 279121072, 125868576, 681096562, 511588301, 432664707, 803445596, 594289845, 688320863, 393865966, 174880215, 840879551, 644954703, 513082804, 597208735, 84136547, 486091013, 290448377, 207966875, 239898245, 454442223, 860071203, 526811529, 908949998, 815255630, 668564275, 566636087, 691101607, 424084675, 669101675, 777503855, 59108927, 43014561, 182020868, 541306873, 680681859, 894394278, 323132606, 615527423, 287224932, 80322721, 154990319, 660726689, 341439205, 683799921, 578068809, 396850320, 812036742, 913738031, 576672523, 302709455, 913460855, 72258922, 779620609, 584739665, 773291183, 739046691, 431266873, 558195594, 456289500, 298737995, 265531664, 604881129, 110588404, 182476258, 37952813, 123733035, 747630729, 668941955, 400125357, 114774978, 729727825, 170802297, 277135312, 7900997, 962236454, 218716661, 915751880, 672516493, 681316106, 141797240, 184759999, 480499181, 856054942, 460099146, 993012267, 135805789, 279332667, 147192654, 151743041, 640047134, 701745686, 914155071, 93410265, 285626962, 953742805, 500742447, 865714980, 430793794, 66494081, 13225744, 697366075, 834903759, 741934048, 271641932, 70967851, 951272120, 681827096, 888442794, 299409406, 932730950, 310320640, 458544522, 792557712, 897885559, 727042110, 691917942, 607310210, 609181843, 422926550, 112491675, 129215895, 470688900, 739552025, 644524817, 718600214, 414202350, 528169542, 713266662, 333822966, 8313102, 857948229, 893329819, 260248145, 19453001, 382979850, 143441466, 672703823, 802222576, 73881846, 72823741, 316930079, 15079771, 784397128, 55539999, 177043390, 566233721, 736855206, 41324810, 409078018, 673274831, 181565532, 349169716, 406876746, 344235628, 307807966, 501969119, 831800056, 439836590, 772695645, 264222198, 926893387, 781978491, 97171708, 615394385, 635202743, 595164994, 943474068, 706237509, 701452471, 931951660, 130830996, 594428363, 103903763, 535510083, 432502978, 92698085, 598225646, 826330408, 811947439, 327199743, 765427150, 540118361, 409604442, 509559312, 649987285, 147102835, 769136235, 970970520, 220334052, 992858439, 550331126, 345134368, 689307995, 169675560, 612734079, 452259244, 81107559, 633192037, 630071262, 234112943, 520951691, 171774268, 86921864, 745438065, 678098619, 579520204, 652993409, 10810262, 262406589, 641724637, 105474379, 465213442, 909713039, 453510871, 24293876, 793583278, 722431057, 421398324, 570455366, 167517850, 164000648, 504631849, 831663621, 444090821, 589221061, 464157966, 448078714, 103034698, 743401970, 795356892, 566803340, 673772485, 54476883, 249025921, 468364279, 906106404, 809961806, 24805522, 958679406, 869329093, 980641732, 88651849, 856482055, 183284720, 249783177, 214709044, 333126796, 499694256, 330284780, 805450373, 592813741, 689241086, 5532583, 996291179, 89972801, 86090703, 372019639, 922975371, 418477210, 766793516, 111797484, 520750989, 231458291, 251788946, 657285751, 600424228, 382344803, 332311427, 552968012, 796829524, 245146552, 980528220, 556421809, 874861590, 68307169, 44236136, 637100210, 544490394, 823069629, 339929836, 977238599, 184647842, 173065800, 800494910, 514245492, 821909643, 259667622, 406233696, 858905107, 101987015, 261045555, 340910010, 372570607, 925918861, 959313876, 396174984, 620329578, 331023946, 117551153, 868703892, 333645074, 850860628, 33552615, 233441364, 46015346, 868326351, 270368623, 183976174, 338732774, 572726764, 789992269, 895093501, 870213910, 252776941, 361372228, 680352246, 256114355, 299425952, 896039406, 833828456, 147152639, 82533441, 380125505, 763755139, 712690708, 865834725, 237187282, 332266954, 813920126, 438266677, 858397088, 44362541, 231399850, 817925402, 863463333, 374478849, 407385598, 901305383, 711112167, 990398067, 684187527, 397918017, 178119547, 674380325, 546829908, 898156893, 648929545, 925894958, 474594270, 242082597, 602103594, 670873268, 857192878, 771501019, 200182144, 640668621, 990344856, 853983771, 782491231, 93239133, 462291482, 265228543, 273321469, 617908953, 573696573, 718087201, 196162311, 553598980, 90191096, 582963321, 630493578, 766323405, 787758612, 897881768, 696508717, 599740978, 348374745, 281374585, 392314678, 995002931, 792968740, 572273241, 596579610, 177655664, 424706575, 155937702, 20449492, 617436514, 481923031, 279517592, 294853656, 116962471, 276412754, 970621326, 677359760, 835957314, 812020904, 203059433, 307448842, 969016064, 777333419, 177661320, 216827043, 885439178, 350697932, 664172170, 190938103, 53028187, 968595375, 571692323, 692495147, 551678598, 336425978, 415520038, 958360104, 709312087, 782155944, 742966876, 302264515, 336784132, 720388834, 235097695, 225805740, 337334057, 770092337, 393183628, 209380170, 227788484, 735912113, 637373153, 629945416, 798411682, 898075137, 76903557, 780656464, 648310721, 397832646, 87807165, 711947521, 988513320, 762966579, 548733821, 278179159, 46965314, 633687703, 997362929, 960408512, 882577795, 880841391, 279664912, 326390113, 743153531, 385293286, 61293601, 107850032, 432519106, 655464953, 572885386, 921564602, 666679172, 533433272, 503096669, 161886235, 204346875, 50346607, 688272252, 659552454, 830018578, 426657936, 331913173, 250152044, 438596841, 207687791, 35309318, 153336049, 370965602, 359415956, 61395443, 635925433, 445691691, 764265441, 846175918, 736363710, 389720865, 797151107, 324876648, 11584001, 82572586, 233942374, 39299065, 846954196, 374907553, 506551492, 961492245, 711601930, 262762289, 940503780, 320785591, 647612132, 50720267, 552107857, 699772988, 67741057, 873405287, 288978634, 862980183, 738569512, 23592868, 614004674, 215527839, 473537508, 217026406, 613031935, 635988087, 608744935, 55981542, 278767474, 436251533, 734928518, 424340788, 546157049, 596965756, 931339782, 359475005, 431284453, 92057662, 83254349, 557792268, 555344673, 678496308, 423922253, 641914617, 887563407, 191273157, 343981319, 735544289, 489666897, 327974487, 682326381, 832264300, 95114022, 233542303, 931192206, 582186658, 542366922, 827121581, 294836761, 767928698, 125635237, 449382065, 783012181, 533399248, 736192578, 452312486, 643648291, 469034827, 6204926, 754257081, 869244517, 367407644, 657601245, 537396099, 565375586, 677270381, 712065339, 211680190, 403286844, 141402610, 209607012, 299815018, 17228696, 307908329, 978265360, 476288944, 353400249, 243818803, 794332905, 866412578, 580043944, 744794364, 345478196, 706871081, 781049708, 368262270, 5231706, 511813186, 404471494, 703436199, 522868382, 857149446, 597128818, 755689692, 152846262, 415311908, 326838723, 846308891, 512532192, 967901947, 297820237, 247524090, 787121497, 756418262, 549437181, 467222565, 66029545, 179822211, 232140203, 448364917, 126983258, 253704282, 946102930, 887203620, 54732275, 168264917, 325840214, 895440810, 275347949, 824024386, 289592370, 602890503, 710589612, 604276664, 100719403, 436385434, 669008948, 348847752, 791238325, 949005477, 394242895, 949348793, 691465108, 843682099, 981564174, 722655015, 177881338, 452971593, 436225945, 179981671, 470970595, 160499069, 534474977, 195779269, 856317214, 45512742, 793990805, 523988651, 346634950, 746159064, 39685873, 262465044, 150531394, 126854, 186893167, 139852826, 675061566, 701937155, 636393247, 966116173, 872614376, 116686052, 586443298, 592593499, 25899325, 434840546, 890515910, 173323433, 445662697, 439074530, 863222244, 840794720, 657147441, 167781920, 898650871, 638983906, 333627167, 189418421, 647387401, 319461659, 201930557, 748937497, 213170241, 623759838, 681768315, 859715318, 234524985, 899475709, 819458753, 391246263, 43585670, 56580453, 979462645, 521108289, 396309723, 918937602, 707998929, 773906437, 802221709, 568579366, 598197898, 869357968, 379934272, 755926019, 723097128, 208754005, 997545849, 114648230, 36296582, 361894229, 320410478, 394050838, 421630402, 536589743, 189022211, 915393826, 87084765, 957883529, 670702169, 985125754, 899722147, 380400264, 728575324, 620968665, 330647830, 278751019, 249947021, 7360780, 597484258, 120908304, 74990485, 129389943, 382572677, 203399844, 506285710, 729207013, 753569951, 306711581, 987268946, 39343654, 726190948, 111351091, 924269849, 179163326, 842172983, 67679321, 239584418, 133933449, 579788457, 167158467, 27968337, 399186949, 872031325, 753335193, 749495877, 381261761, 401011365, 464126386, 72457786, 10993310, 573663498, 865338788, 87016459, 589729420, 954597557, 388090973, 593265638, 580545314, 89553574, 77283084, 8093222, 354201119, 938294004, 828323546, 324760215, 742935641, 326727956, 295475873, 649108281, 295622208, 327927634, 940518039, 616238708, 375179917, 750723048, 849346305, 309936393, 854299193, 17577868, 54669318, 861377827, 599534642, 881965595, 569679876, 909229443, 9852285, 895581181, 655469763, 83239350, 96862980, 390125277, 361038908, 54127803, 128972066, 380114324, 663874180, 478999394, 106718060, 109053646, 990166455, 227218885, 544050174, 438389702, 927943481, 630293097, 455219888, 636425912, 890707506, 199137241, 832511739, 134203080, 890865964, 31848860, 679903522, 138765091, 205472408, 106859535, 103519329, 67620415, 806616492, 533361425, 746816059, 12794213, 824948540, 315133282, 114375704, 228479189, 913021788, 614053333, 722820424, 237648039, 223610489, 809214945, 508821219, 544774050, 364893091, 391563224, 769093088, 39996233, 821486731, 290256661, 210843811, 83118414, 890639898, 850623759, 567026127, 92862841, 862585118, 325549171, 652011435, 829214386, 9197913, 92097637, 599938675, 860161725, 789790810, 114930349, 319132057, 417850815, 628402589, 136360209, 762692456, 342393096, 526087009, 393629444, 629868628, 686858562, 104658300, 527515158, 74651188, 745327960, 909854546, 494982534, 331349128, 981956439, 37011301, 328374715, 985013826, 380624156, 597149871, 250802984, 531482049, 686924493, 289558185, 186502997, 942527315, 817604640, 398077232, 824851797, 682782580, 124626759, 941294909, 784212013, 774563923, 736174786, 666745836, 655052853, 562747268, 149447716, 16503869, 607712208, 931872885, 447372646, 651930387, 906155795, 23679707, 11996242, 586370839, 951332479, 817558876, 403611649, 376177512, 697556626, 773070913, 846687651, 192838283, 279950315, 664201597, 428582870, 880168416, 154480026, 161261533, 194293863, 43951905, 906131239, 624501380, 128565738, 992846738, 581110517, 115117308, 693620009, 398906485, 202794562, 838881166, 131643464, 964997889, 642828625, 175208101, 13245987, 418453758, 811943079, 829497331, 400578160, 864159731, 475596762, 784856925, 480758466, 903984087, 988877441, 404145605, 106124254, 729207058, 643822793, 565500912, 801197902, 964978921, 270914836, 709795277, 30128267, 350699448, 904395004, 755426811, 445206657, 52225560, 566942786, 16054723, 881964798, 438290032, 147106121, 161503322, 901005583, 163243444, 691589064, 380213619, 493814330, 72493195, 374585490, 945781817, 79201153, 355912771, 374996587, 232489441, 247269738, 492227623, 411752993, 996145130, 403766735, 196647917, 367538234, 323282302, 217016475, 131416656, 455163501, 493312558, 541876024, 191070772, 809596869, 975891460, 497980027, 424732450, 673350738, 137116530, 557943586, 311468602, 248836195, 248604512, 352954119, 304303389, 238581999, 29345972, 212733348, 206902791, 656075067, 955461138, 724836212, 599814222, 311076919, 978453480, 868833300, 509787573, 865922063, 437076792, 958367222, 187626325, 660789146, 216379248, 38724155, 643244917, 541487869, 269323843, 690230646, 945122871, 167119804, 524508603, 910340204, 970754290, 120343763, 459501332, 137232691, 337077193, 553971139, 224506458, 36639622, 851059113, 655202974, 790859533, 840638526, 482769777, 133630440, 365634125, 549394842, 754874644, 99768369, 357906796, 264076061, 580644696, 549626685, 446815895, 765298369, 86484160, 548429950, 822272018, 239623382, 866459196, 835771182, 564619829, 757376608, 740107748, 120038679, 461298913, 719291039, 656047437, 753730678, 280420767, 768294503, 293041369, 298507095, 380137196, 763193361, 178427494, 922631372, 38165253, 172615517, 482901537, 193268319, 198377078, 739535072, 111052171, 610986205, 783589025, 437414494, 869709413, 843634840, 673323716, 281774174, 389164731, 965439711, 220005684, 538481726, 42821645, 818602915, 770598049, 621357888, 475055954, 700946289, 821912664, 152639316, 427060750, 239681621, 257235163, 850605041, 162862604, 896309726, 210377975, 495527854, 914133875, 642372123, 109870596, 668408661, 874984725, 59701083, 613461866, 723377726, 921734041, 709629478, 322951192, 186901879, 859354638, 150225148, 22644308, 350749265, 96172786, 429809040, 103345570, 554767944, 151641306, 532359496, 388507019, 950989098, 403755146, 617534076, 952313148, 243258507, 86295946, 811264215, 768300150, 627467916, 833435537, 471107381, 224049133, 112756754, 201658210, 366173018, 613038441, 869919565, 13120561, 642504534, 211832919, 96640486, 629885687, 640186970, 705614467, 375377034, 128923806, 670090135, 802376991, 314756189, 612840166, 358864786, 12259502, 561423893, 330902338, 164781720, 902587382, 766731177, 721472083, 37001363, 116937224, 608701268, 610776136, 404183406, 2371995, 401237414, 170571097, 135007500, 710519576, 473083735, 943425607, 732545211, 886650042, 110085359, 929853865, 785631854, 236940136, 176337995, 18427767, 854222312, 752773786, 167789188, 612697440, 699104676, 576860182, 934032164, 155157890, 741821530, 851964842, 872286759, 398487582, 29674029, 287804536, 231676619, 695110720, 710239285, 716195287, 268399564, 376725101, 443867949, 868349017, 316722094, 358069776, 88688482, 382837341, 252933372, 962648640, 961299523, 816623529, 47205851, 141977256, 712179829, 119837270, 92877946, 915382336, 249059418, 798566071, 36291707, 345612939, 662389659, 818621515, 457752981, 575388590, 341091078, 429901611, 11486227, 17061445, 112101347, 244150311, 283202258, 94430915, 119930487, 205710495, 648454000, 244894022, 821964036, 985328257, 651316242, 852313718, 729718833, 386141481, 105913125, 909670874, 653661586, 733185677, 843405356, 690950133, 361207029, 426492956, 810271931, 23437450, 84705382, 749416742, 88354973, 612860362, 291379837, 631052503, 568447116, 120284594, 301516277, 814324521, 148560346, 149771148, 184150469, 153642615, 260759414, 134819815, 365153102, 462161011, 729507752, 564994690, 736417890, 822067646, 370479929, 173991683, 905046435, 275967171, 480909412, 19929268, 13636105, 744118095, 790899397, 962417269, 962736324, 117920917, 304940897, 649172913, 365028214, 175698154, 302612507, 87149223, 817989534, 916974010, 845281080, 527867770, 380882596, 98676163, 536179231, 687580882, 399092491, 745706264, 86921972, 832473835, 161159847, 347417136, 659996134, 602227457, 321959737, 747163971, 198633364, 247052691, 214495177, 241688667, 64797477, 380075408, 745550176, 958285057, 420878074, 344750773, 759622859, 372162504, 45047112, 688611583, 475597560, 255074566, 317642722, 526745083, 665427398, 829001207, 694104109, 681757978, 597900709, 830278953, 990278581, 27728369, 546518115, 885763723, 212155069, 489134492, 89596263, 660395311, 90964954, 883183734, 272639564, 273703568, 945723266, 534587424, 980344613, 799679624, 647531081, 128157031, 561084192, 596265751, 896694725, 718726313, 65020233, 162149912, 978131445, 800540467, 260589946, 716541007, 182114653, 513415862, 277804606, 528871959, 751464651, 310098868, 980415555, 384287213, 522380257, 23202895, 777018368, 135023159, 857500520, 796306458, 820217959, 345921797, 709864427, 481990589, 935853275, 490707815, 717951653, 663760457, 943964041, 447762398, 665385599, 533377719, 794737361, 942328921, 647652228, 148870131, 758506687, 457895546, 155104764, 455809557, 457368859, 184046322, 721602660, 694125902, 522436670, 312914426, 679325936, 882225464, 518646130, 965055124, 774862241, 504582947, 615113554, 71686339, 300635987, 93053363, 73058288, 121311780, 668647374, 552343117, 953281570, 567622809, 495423823, 898089588, 561397124, 674155817, 220523465, 421281929, 453880160, 186802771, 383635411, 746468438, 349633588, 944027903, 519739429, 345261735, 360093165, 796473363, 36369763, 26301434, 214920149, 247312705, 626980272, 334658482, 568741695, 4485299, 690023999, 966895098, 399989306, 959636373, 571946610, 332122198, 723826407, 840674263, 876140214, 30858705, 926011395, 620646699, 276609234, 310303871, 885610934, 567336328, 73720505, 318781766, 565101611, 901481340, 700912709, 442566779, 179267790, 352748348, 194998300, 637377460, 62296358, 254440858, 439151803, 379320151, 820757653, 636042888, 881842181, 467991477, 69384126, 781821096, 522145551, 219895776, 704765846, 685982905, 456209821, 853681210, 790333083, 229450375, 105912003, 184549653, 886475980, 362453804, 163750976, 835524238, 213942877, 753113015, 756405923, 987498101, 750599179, 382095182, 37558319, 997484480, 525137165, 175943634, 687181801, 161007043, 999958215, 940877945, 280760197, 672205629, 465727753, 987696458, 831841142, 198325195, 304884560, 24459121, 850685706, 451532639, 853795862, 537144182, 735181950, 392783308, 103313915, 811792022, 236709831, 992695806, 50781643, 606507366, 337589797, 107509154, 664201577, 389159456, 614081109, 322073195, 224358632, 976450953, 502596082, 139829339, 568321745, 291343240, 639165083, 28786770, 735514500, 545058759, 163943563, 982005661, 956652487, 648323546, 983588048, 752311091, 631251547, 186783412, 769393515, 483299492, 75387747, 898462290, 630485973, 253213917, 143598161, 153303405, 105299037, 248902353, 851548394, 13135959, 833529120, 305471441, 6217980, 219569514, 628102281, 414235097, 858732557, 354452550, 303936043, 76292410, 490622349, 913848809, 438340299, 757866421, 108265730, 310042929, 953701866, 95357220, 306411531, 799761106, 186110473, 51093024, 769938395, 571095868, 220207378, 391614156, 385322781, 196550766, 360989876, 600936955, 819318953, 952281691, 370575557, 480066652, 213328923, 178632844, 786980008, 659059262, 12227517, 593370218, 755377894, 623593369, 151724770, 998191686, 157654842, 55000129, 599865415, 920791311, 308768569, 960695368, 572334194, 431652556, 556249318, 783917095, 651927966, 481388343, 812841789, 105491406, 11437269, 763027261, 459280177, 271033609, 966218099, 764938535, 696145393, 767957240, 828669846, 474045453, 794932989, 735558317, 693408014, 241350273, 130333545, 248554991, 690280909, 995689906, 397910055, 175629901, 571517146, 990203022, 281347693, 667140, 939668721, 27662806, 617176635, 996234410, 736917270, 173217736, 55954124, 598265619, 650469593, 685483296, 335149384, 934815242, 677371310, 716648422, 380163979, 225250866, 710222816, 606385331, 739420632, 14084009, 901592322, 672531767, 523723950, 151824987, 238992528, 348739888, 163768174, 823204503, 780747393, 733954334, 633072617, 367378195, 314254345, 382968856, 624468732, 178046497, 286371348, 168569422, 657009523, 380141889, 193924380, 239691012, 161829284, 636651783, 99673716, 342854453, 576408858, 598831665, 531836396, 858625362, 112512317, 841622599, 495775855, 668898378, 653029038, 957702649, 684691750, 830350591, 982513342, 918739949, 180338176, 906361314, 626666048, 822262984, 223554106, 610059780, 393221027, 845548423, 397964241, 450514409, 237553046, 916001576, 315965408, 609647319, 404880975, 901810787, 24463953, 606190287, 712148710, 862966420, 700874999, 588454837, 67227931, 538804851, 700846661, 172162986, 82205084, 222113937, 607607230, 966438685, 480105178, 855234177, 671352957, 984046573, 322456597, 788383453, 550116364, 262801243, 985335107, 87627748, 273253974, 598466861, 940725935, 55799647, 390469286, 265514226, 996753499, 536135173, 38920035, 326363314, 260148059, 988500444, 859826519, 601823738, 412565349, 109709782, 311687984, 206911220, 141507397, 317667145, 903413526, 19705390, 720882025, 537390606, 944367045, 598750562, 591230202, 8853405, 829025645, 509554745, 57614777, 673021578, 813917871, 662835612, 140199937, 215028406, 744364700, 58273074, 612410786, 912969076, 332648087, 289611530, 259874055, 298498923, 932914319, 791202378, 206172633, 724285543, 597914265, 3286249, 777943270, 677994693, 18307633, 754410377, 682295054, 17300153, 991400593, 624006451, 18555047, 401960518, 206101641, 911750504, 867219383, 51702163, 777011323, 98575065, 376926819, 971284916, 369709437, 751709601, 682885422, 261990935, 114238708, 337241269, 197149968, 63846134, 999310944, 741843331, 499167938, 595437222, 523245528, 985466563, 607422674, 794147676, 597727722, 598928179, 430722475, 695470872, 235130074, 413519690, 105504287, 154072793, 129274816, 135054588, 195572758, 353939178, 424536469, 827765541, 769139142, 115601493, 204856241, 283906635, 575589733, 361766574, 426321431, 454702860, 304321712, 661562188, 7663736, 750468914, 703210298, 704159631, 254285180, 718719539, 473772802, 300999484, 660903661, 228380370, 23332607, 937547643, 308448558, 808694827, 278402879, 108422915, 654796028, 356765387, 171453695, 933571548, 95850420, 643668921, 4182777, 212592997, 664429005, 410166513, 433605742, 787760699, 735425230, 133875442, 188855539, 27393510, 423707690, 953128397, 679553693, 170347395, 245076842, 642097414, 929593218, 42071058, 35104748, 675891581, 526797784, 951284655, 838784228, 680645442, 485224672, 110193101, 227331633, 858542054, 551775611, 88076041, 944704115, 149320513, 364703160, 502599171, 891967187, 683974911, 479237915, 139935891, 574811542, 474359458, 639071436, 736830265, 133590604, 986430985, 223025412, 985812336, 624067866, 355077770, 377245137, 679344163, 781091359, 230027947, 22300197, 140821423, 675472944, 564070052, 730124423, 150821779, 39963102, 172300096, 611242831, 356836814, 323226171, 490630975, 394582947, 68930618, 797462554, 346961806, 829859808, 22475483, 283991327, 662181099, 511452677, 855770275, 958232050, 224405243, 762800174, 606147673, 200551704, 938967662, 346985600, 153300168, 279764391, 634447378, 68774207, 972406328, 40592430, 232248815, 409238569, 113851853, 615514057, 236357303, 766449082, 916414201, 63090703, 939220890, 527286879, 144094034, 724647889, 495017665, 648191564, 497574785, 267761337, 251819459, 470451219, 447976486, 782682894, 344833827, 108576841, 127088452, 665604434, 295958265, 165210595, 325356401, 430718599, 373473026, 404687892, 603699946, 331526390, 642193994, 647548679, 923958911, 201947430, 999637401, 364671939, 920728022, 364866363, 486186925, 170938904, 399427944, 180529832, 779483062, 596778060, 344499670, 690923583, 497271858, 93319236, 319167027, 424728637, 585924296, 211207559, 384420365, 186533790, 96132367, 415397138, 198127980, 456342037, 977677992, 199568859, 838061427, 98365136, 98782195, 364340070, 594548449, 1529512, 283731492, 307156495, 621641065, 23581712, 607641284, 678188956, 645283439, 115771923, 966354407, 641924970, 332190940, 625028540, 235660333, 540507808, 839241001, 87824699, 981633958, 736532063, 99394345, 545457269, 439977928, 818626907, 882245070, 45173246, 184296627, 223055876, 35868165, 570644225, 629010291, 243148661, 935857249, 588399755, 704807787, 414610262, 361978138, 252757307, 42963698, 694712915, 214565828, 952614694, 635146214, 809099130, 942469426, 982695480, 660087157, 815285801, 333737944, 81685683, 776639768, 939218595, 319864853, 88895232, 235399331, 88664419, 366779592, 503985975, 828720441, 904443082, 57517986, 412889294, 331848505, 624889212, 276543133, 9615342, 177729890, 700954417, 704076570, 803306488, 913664315, 793087822, 892616934, 867721704, 532680584, 265929828, 832413359, 668474079, 929704378, 295608471, 826676033, 835181920, 854399001, 25327441, 33914472, 314236031, 875140461, 226422656, 619759165, 234365392, 332078725, 727633621, 673445898, 213613424, 89544798, 734463096, 321283442, 226325249, 747881366, 3339780, 690155949, 183313009, 388020314, 293947088, 266907420, 898659854, 536732017, 373183931, 417407304, 254023199, 213298873, 545283083, 52212215, 664404240, 125511204, 80290581, 274078222, 519901555, 766670097, 647701189, 802503828, 631512179, 315818593, 691984443, 830329082, 899067600, 542015042, 778308693, 198457144, 376108970, 289213167, 527682033, 722442949, 506891582, 889163052, 923986625, 524261250, 705512823, 798912302, 873222002, 647621742, 197470620, 600576817, 720029311, 744503646, 30514387, 176361078, 593230667, 11890591, 913188881, 127435449, 827642293, 681936623, 70509540, 72536170, 378611668, 748147288, 922037096, 982654552, 731396052, 63395032, 753721296, 736757255, 375421698, 211379539, 143146878, 732145127, 303974915, 437836712, 820394274, 750621525, 217416908, 795186582, 189709038, 219866724, 480105200, 413112017, 743651662, 705282807, 145122632, 286975201, 893722621, 545701082, 518571992, 263547201, 346658753, 371888016, 68518168, 601626551, 744322839, 227987561, 58912383, 178660721, 902376830, 51191471, 440517503, 624126677, 782991576, 201439836, 714823104, 741882755, 808832032, 812444608, 264782750, 944187973, 854043047, 501587157, 603721385, 793870326, 470793706, 149943082, 553352716, 96403710, 851791189, 13906923, 798525012, 942729228, 802825782, 107229472, 485951855, 516128471, 393861141, 397399465, 363846566, 454688309, 639315794, 83829769, 505912711, 472992959, 138983417, 766846734, 161918030, 453647940, 223302967, 693703550, 386187943, 610232959, 936628734, 392570463, 169144501, 846916998, 695639295, 795373451, 217276095, 989379072, 789607985, 191152460, 913685441, 352124966, 543799634, 810593491, 8679394, 78486976, 384616886, 345901117, 607599922, 630879855, 569817192, 328156856, 770689625, 321233893, 796314629, 911345686, 379839302, 825503108, 861476431, 701590885, 100403590, 249268554, 657178765, 953308960, 515181111, 653825577, 691212488, 817307658, 821996660, 425789190, 264682662, 127309839, 42492830, 650272373, 353940087, 716689628, 83446527, 611087093, 952192610, 834350795, 617644925, 37275826, 285808101, 544487511, 505602898, 280339426, 58508911, 728219192, 239077278, 190952376, 564648807, 741232314, 847876752, 940160677, 797912598, 214762465, 324548159, 329592292, 827495836, 623861375, 801652245, 173761351, 20104467, 341993201, 232337787, 90219720, 595179861, 239360431, 191307012, 382351974, 33035099, 911944809, 820247947, 996480038, 464626253, 656972329, 78443055, 752052045, 258267793, 559094408, 239073724, 105590191, 217866452, 956507105, 663922377, 46851689, 538400837, 324701367, 644289761, 736786761, 499615204, 376538623, 711605958, 572335414, 150057687, 677067731, 332975367, 926801169, 616081723, 19920906, 531013925, 34993572, 490436318, 847445552, 266906782, 936024890, 195580391, 842354960, 450460136, 20274533, 196935008, 787076882, 826876637, 535858307, 549196391, 316694226, 806457026, 629855583, 863563625, 914782258, 974337181, 429270802, 527580517, 523984922, 113923869, 811334285, 461177181, 279838070, 111371453, 79325065, 821308376, 335975412, 243614919, 825116895, 498921789, 608259139, 663712586, 260285682, 603137638, 341980141, 384018171, 509691463, 695611009, 113874875, 212904751, 329528120, 69629163, 736770738, 104112326, 878670767, 200481908, 324880961, 678558404, 41705414, 344538260, 811878596, 386608956, 651042838, 68809391, 959914659, 573143699, 824284712, 117104861, 804721453, 68366055, 505713284, 564813240, 864825402, 507917575, 72404696, 114643110, 736371162, 542693521, 775065300, 57471692, 555330998, 699717203, 403007909, 39747400, 464456209, 652633954, 648838526, 27955212, 982143794, 387229126, 167560864, 626502628, 403550914, 218635638, 910443796, 159714175, 474059427, 991798825, 461150043, 527330827, 384317469, 304014388, 531923195, 588547891, 865684766, 525170127, 652469653, 663572806, 417494105, 554646594, 482195551, 54358640, 362798315, 399634207, 923919656, 732987842, 115935917, 781792802, 806244354, 788292135, 451120963, 419331499, 582492068, 101314541, 436812063, 219922194, 911224222, 342336123, 364436942, 493607033, 758820934, 313627861, 657925277, 261732439, 409327934, 941235741, 764469578, 490417435, 842883714, 272655629, 668345270, 23994738, 684580160, 206950606, 564839051, 898243515, 977553981, 470738801, 351139037, 247829949, 242499671, 944468524, 865833616, 364906727, 577440734, 585949211, 198912881, 297976919, 479609938, 79623690, 345088450, 152688310, 6928812, 502042670, 350671845, 255058155, 333735506, 428852390, 174012951, 666373578, 489844732, 990841498, 253261763, 464338389, 551451327, 252396818, 242626363, 192628882, 67435135, 419689041, 840807245, 626923238, 258577165, 174288150, 330548645, 950657713, 645411103, 186120612, 12548360, 494514941, 142115189, 307837993, 5672794, 419375020, 496047231, 23306173, 401131181, 180806754, 10841706, 636878491, 701774697, 940767462, 590542913, 627164450, 851111003, 806757352, 410487523, 889234094, 543491184, 438624596, 151064368, 406430719, 662682323, 772996330, 300028365, 702722761, 964468824, 411238301, 34152881, 229213150, 184969961, 362866047, 575894075, 217117676, 396484574, 712088915, 112099943, 831912231, 84575519, 889709903, 158658384, 901137082, 885898440, 471871195, 234666561, 746125444, 436925692, 799608256, 215948997, 162248527, 803926016, 357660628, 357903927, 91050517, 647777867, 592456305, 504752952, 121202909, 686225442, 59851481, 715855152, 527852437, 197909196, 723955262, 902619717, 10240796, 45195209, 887661510, 586417099, 803771514, 509661368, 23293765, 366184883, 701516360, 661054294, 939369955, 621085820, 42533461, 914796942, 947071001, 219724556, 485391570, 607797679, 355948474, 734984097, 39895987, 89270221, 41963839, 389615516, 890345716, 722032821, 289929855, 104192519, 863277431, 601011809, 666816156, 425776232, 552572868, 603196837, 761691433, 964441909, 530215261, 692613830, 75181782, 801501873, 803781597, 137480281, 430721656, 29164832, 250078954, 869810726, 460735226, 366989677, 700797177, 872564590, 280464315, 796475551, 190340450, 318664915, 611606052, 688279360, 895506157, 768505255, 935260854, 790044583, 379009447, 649436334, 798030340, 432931265, 811723352, 667470689, 706457820, 634329976, 523246816, 697935190, 758925470, 306809461, 66444414, 645609263, 447913746, 536244283, 877976605, 623324286, 506948816, 854872946, 834000679, 543899806, 555073738, 246751817, 787511655, 208642866, 131730358, 531890992, 467685252, 93810624, 77363003, 509253025, 791259303, 394624206, 996746690, 78003241, 799911069, 497833389, 37214648, 962440973, 728374351, 177191466, 6022373, 249413015, 417466720, 368637271, 365602281, 567240438, 742567697, 847592437, 979187930, 428437406, 970511686, 166106526, 908324762, 654161597, 301887420, 803257610, 912367048, 415820808, 345721574, 585118128, 877682611, 664788664, 599523175, 993347196, 993209569, 491088496, 694423663, 448472737, 536665768, 456276033, 848754438, 691604521, 876381226, 159298711, 1392236, 79444164, 251313597, 152095737, 55642184, 221072545, 145939186, 598170474, 477061060, 856020402, 715134874, 459115723, 629165645, 194001774, 527630907, 770186591, 836883786, 866907974, 934349434, 20727810, 473058042, 428586201, 951791314, 134107174, 323557463, 88816619, 551277022, 802548534, 164773722, 89768218, 514704084, 324403849, 833945114, 662782611, 774818841, 616313535, 743316120, 955732435, 329267195, 659738459, 145028402, 24050941, 62387118, 295795031, 106791464, 518711208, 244907206, 192382855, 874967944, 626304545, 394076065, 738304328, 107983559, 301670283, 467292527, 145045456, 912454342, 516736552, 962069434, 726620194, 537457560, 92605700, 258570388, 684316319, 368288455, 885614440, 590887797, 599892554, 919714654, 532090593, 652828379, 595255944, 642708187, 781590068, 183541722, 298892077, 412222122, 925699114, 843119482, 962256275, 321379137, 807527899, 300212293, 418360534, 302653219, 871656850, 224692383, 595716132, 34475580, 142366243, 900581057, 458326226, 491680710, 882410308, 91824052, 604173344, 8243158, 342800527, 15832332, 422699437, 363719339, 855364040, 488142413, 510309158, 147005435, 603117729, 100494043, 565346673, 495770219, 138886980, 133863144, 912561016, 121290531, 630589352, 960968687, 744821247, 772313662, 959848675, 82867073, 976432944, 22958071, 504213538, 60635680, 90032846, 67586123, 101347399, 593217305, 787981693, 595570611, 596553011, 280729940, 216016943, 722222300, 99587131, 994241671, 927294049, 191839561, 916924338, 313989722, 401126964, 360706287, 662557456, 395614500, 715922449, 13683792, 272006607, 46788981, 982362538, 234391132, 672430718, 680872203, 325372883, 671573985, 68142470, 624164526, 990101020, 728517163, 148293796, 959871252, 731802306, 296567609, 737880167, 632145843, 226449080, 114389104, 23444169, 263869011, 40541501, 36875729, 289460743, 761454949, 401394396, 655044459, 102831369, 610405320, 510646248, 700817461, 799868189, 164103077, 106359726, 313285253, 942343836, 843919441, 631765544, 843525590, 271108409, 372082996, 178988939, 264447788, 101713373, 857549554, 575687567, 497065221, 198158773, 977440912, 449533621, 10472630, 666628896, 795156383, 576242523, 42695742, 770202928, 763049156, 285801186, 771145851, 342499390, 817732574, 389688821, 149847848, 70094705, 297193609, 755110323, 949278440, 452660711, 476538738, 610985624, 346287829, 666771185, 30325169, 395638855, 463334879, 641436379, 546288372, 222678400, 966459843, 656006616, 432587971, 107313057, 33598233, 74006833, 830428300, 809671128, 539129559, 241523757, 80900075, 949329782, 172901739, 154444972, 685128679, 375726798, 430739811, 187985898, 742686925, 865421896, 259373377, 838502623, 284877244, 232780387, 902119473, 490596614, 470197491, 372720825, 320926319, 735063149, 96449942, 943281582, 964237513, 569243779, 615071851, 314865438, 654882057, 103306734, 718749349, 627274308, 246437976, 147004156, 978873386, 579422059, 817095532, 389751057, 150957440, 857218084, 191793711, 738442551, 548577788, 808640760, 65381483, 390494313, 409839716, 307097076, 165408469, 969701262, 852626791, 891944604, 991687789, 58915100, 627247615, 732136465, 302150023, 712566397, 463614236, 527952951, 828610458, 404025651, 818474030, 914934132, 824416847, 986451119, 200115021, 65788795, 483231932, 360861091, 735873450, 184919016, 125838113, 717802601, 585046392, 579286789, 313697798, 561915847, 430913594, 297248954, 302865941, 321507762, 915106260, 736680043, 761214008, 888633455, 317127670, 190936174, 692251634, 177827389, 918999021, 220190044, 396117996, 628568199, 26102509, 811530328, 923947717, 55252740, 337419520, 658507034, 378036244, 472052417, 654313257, 406058743, 390867131, 500382591, 462743950, 665671557, 549734307, 79290003, 93693914, 868961708, 709073649, 80337270, 775502165, 627004436, 556640777, 83868075, 883650303, 75657958, 855372773, 968686496, 470643161, 15838115, 789341076, 400641052, 35676652, 583143325, 508108660, 925853850, 516864895, 562537011, 353492917, 772695372, 142927657, 45429278, 45380915, 748304418, 68479614, 248260876, 691503410, 89406788, 647535039, 792620439, 249301599, 650267021, 541524575, 216976940, 807800317, 759057249, 690015472, 552021336, 123912751, 224084687, 941139650, 875177595, 638850000, 410405227, 554011643, 494879351, 573191697, 578791208, 705110949, 847819699, 981601703, 274873117, 720298603, 734189142, 106244833, 776060474, 626983047, 945204613, 751745477, 997150170, 809320498, 226538738, 321458542, 276648172, 574697698, 334109839, 294079551, 181227799, 958053552, 472212119, 407929550, 547877066, 183747013, 475879629, 94617612, 807354696, 882763026, 211275900, 251153000, 915438415, 400942514, 328605606, 222212519, 355541176, 260904719, 281440774, 974502972, 817783723, 195916587, 444584990, 709547448, 872146924, 194181959, 631049771, 14899912, 123647157, 854433845, 723424984, 688810013, 517421940, 208580394, 422609214, 412091115, 886023169, 804043640, 822396152, 542087888, 127977360, 870144285, 922830129, 190043447, 677979576, 750585734, 414489475, 314336584, 621462920, 876822167, 880942582, 364207708, 492976938, 526377216, 363216832, 903376249, 76263958, 581860800, 982265310, 371172748, 599028596, 860373684, 562774468, 192933502, 898259535, 606759995, 685881501, 3304270, 17128575, 214411944, 682426811, 895521289, 622157762, 962164202, 253533197, 668402319, 657285663, 481112295, 860517038, 580393168, 920520959, 534689745, 772032587, 354958887, 824582013, 478505481, 339520553, 809556239, 443720496, 589395538, 955066590, 411197764, 426434677, 293373165, 192393410, 252702486, 321342551, 163599000, 85518746, 769364541, 834326234, 264827941, 602189183, 66422511, 836263847, 557169782, 965768511, 943890145, 138567198, 290280797, 55998339, 176758673, 255990268, 405067889, 485223819, 326257453, 41801771, 300599161, 522937048, 964868733, 374590487, 348642396, 330600259, 187951714, 239643314, 486568268, 727204814, 896103362, 506719830, 454646956, 309343592, 164780752, 500543213, 411930770, 145405078, 361636234, 187007084, 62487178, 917692236, 907148403, 909747942, 849463219, 73857482, 345576566, 487249414, 946054614, 155802869, 156310762, 957263165, 49484130, 524727501, 33013087, 510244451, 954617469, 627963369, 728146927, 624377773, 79157397, 152638049, 341743619, 656712582, 893597881, 516477517, 692572811, 917468953, 920250588, 589748417, 1459643, 379441942, 37252933, 145462292, 850537523, 735230746, 450259308, 761951708, 893359126, 282490095, 68844790, 667017304, 270176650, 142458820, 304210311, 354256325, 47478055, 586368181, 628082731, 186058217, 734446717, 150743162, 840405274, 184298476, 204959115, 576991599, 478395010, 692552546, 737191691, 738757298, 349891731, 498507673, 159269388, 215203440, 262287754, 868412497, 328792006, 714488932, 231218075, 33845727, 948073700, 326188080, 278790909, 815469350, 953540117, 514045769, 235860140, 987998610, 535847292, 186157940, 696076926, 724017363, 121824867, 299806509, 421938928, 291774915, 51841205, 287236072, 572228415, 558164570, 950003344, 879907506, 473493552, 774818248, 845708259, 898794869, 56459255, 796772042, 375337054, 971083401, 423636847, 750800330, 399865749, 327665303, 4057308, 763531927, 558029241, 340062576, 133913325, 199574414, 734184755, 562649442, 144129551, 911597463, 22111520, 85690535, 239939987, 198285546, 401680775, 615417291, 15772515, 377386206, 759462991, 495538757, 743870183, 332244917, 80916598, 7316464, 843126102, 258278425, 10908732, 679838691, 236447324, 538451172, 40272839, 46541250, 549919017, 289254695, 718358200, 702643347, 83461821, 923335595, 38165615, 168705185, 783973190, 99039569, 982305823, 913040739, 700919409, 551888822, 904959024, 464166169, 83558929, 391125636, 969110020, 337226464, 621047524, 651657489, 300195180, 972137042, 266192816, 843558426, 560722978, 991612801, 685097958, 875618415, 679679037, 308691009, 262552480, 860540393, 813784008, 52762035, 640980592, 881614443, 932487147, 244043388, 494279567, 557995408, 689483528, 666241328, 370031497, 229554457, 386956473, 153326136, 572943214, 221139611, 202201457, 871451742, 731872617, 712632919, 37332798, 871399459, 706288238, 364737882, 682673855, 484173961, 549893021, 127130365, 785643772, 866996577, 123091874, 812973037, 550042819, 321785676, 669647155, 863871826, 348654971, 518630139, 285618580, 616583471, 713331193, 276825038, 599387857, 897758426, 754347176, 880233544, 518001800, 576050561, 855178569, 701480061, 95097274, 851528633, 791075357, 704411492, 771832795, 464116037, 184630816, 711143696, 676133120, 638071142, 64227033, 223855760, 222200440, 359317764, 946448122, 271021522, 476408498, 431147530, 411110763, 837304898, 762763683, 875457018, 253349234, 679779727, 95021319, 87047538, 897306997, 289897045, 29247771, 863680675, 813187840, 701133485, 102948951, 152087573, 272646939, 469157771, 193061072, 748320388, 729204526, 372192280, 918089936, 348290013, 5841329, 589221720, 363342557, 492556170, 955046549, 766755730, 119189065, 65925707, 823983681, 279723170, 256188704, 850596249, 949676256, 690558807, 8571939, 69563223, 558637985, 175450762, 620823722, 236799703, 581891535, 24666490, 640207019, 283325270, 376635181, 745356996, 274819358, 988602924, 148426670, 593710906, 4253844, 484426851, 89884046, 882358398, 861796240, 79661506, 974991808, 947216100, 506012485, 436807644, 684178305, 906853429, 290762531, 315715801, 623901066, 301930359, 763820190, 464359479, 200255563, 859121848, 267496949, 57338545, 845509189, 933751956, 34738299, 568696737, 763222085, 982812509, 594430870, 787673875, 961156889, 494196706, 472970221, 914426847, 690571330, 914108021, 292925210, 156385753, 66073144, 105464259, 780480772, 592287881, 690930628, 925420495, 565354784, 298175124, 349854442, 101164164, 899375561, 170157910, 102136019, 834066817, 989836492, 184631096, 833660445, 786795713, 713548051, 641807104, 229436970, 201641921, 560489227, 854446085, 472888205, 970664813, 639920280, 785409829, 787022726, 462865012, 569980048, 275540748, 165970557, 1889237, 622791781, 202623801, 834940307, 310580857, 606943347, 238628170, 444302883, 641240201, 471363401, 658770635, 402794814, 609214127, 255238900, 469254801, 438759034, 578260393, 166715951, 611248244, 355601301, 444040301, 428635391, 279665981, 790131150, 783273484, 470544525, 691546789, 603243096, 285138606, 747440044, 318420356, 761681839, 624056935, 719769107, 658952971, 788782061, 181814573, 291765530, 585776625, 838099622, 900835297, 777669605, 590717020, 702310962, 48622839, 705321197, 821883491, 470804252, 192981831, 110991328, 87318376, 11035542, 80507137, 575813607, 289450600, 606318493, 851005888, 919056892, 66927271, 97633852, 485004287, 249687202, 908360427, 180230041, 269962016, 645424671, 815178330, 532381442, 245038780, 974597428, 578223705, 492597859, 766153947, 995538923, 363527278, 755826725, 647139554, 445861555, 742064401, 45576451, 287981263, 676583068, 60224936, 951626087, 214370574, 911393025, 366365897, 891514259, 590746314, 543768753, 132823666, 689047470, 916268612, 412228698, 173165566, 534395165, 940767503, 388998263, 3311077, 897255656, 370536348, 832064183, 53007332, 311139942, 972431835, 806418483, 356227161, 808760045, 410384782, 772792393, 888565380, 487993003, 518738494, 12543900, 512509125, 848109644, 661441535, 19311007, 513450976, 777226606, 335686202, 897163267, 268198822, 355187107, 633489672, 425695944, 88920662, 873263778, 60081997, 265595702, 922398162, 819771642, 295538480, 268322103, 382290093, 447066923, 796385116, 22509996, 757520500, 194593219, 496081844, 645697965, 849971315, 479363534, 79955001, 545447227, 236456471, 448153505, 974571188, 261972926, 118913323, 274618938, 325415895, 759662046, 962833753, 664638114, 130231034, 83408531, 396955253, 121964459, 375415413, 176709293, 78846037, 393887789, 833554893, 38750607, 263524531, 111467789, 92755662, 924718513, 995316765, 824668497, 440299253, 688168066, 781626671, 54889791, 640600323, 524736289, 829811852, 501192637, 121631957, 473979383, 427405895, 848345648, 559148660, 288250753, 769474111, 979870253, 168692512, 248815449, 642823960, 478841080, 517622890, 598833801, 882863752, 603758796, 69734848, 898723534, 323080384, 911083089, 272374179, 842879823, 689287350, 638809065, 282921243, 246585127, 773971446, 997675743, 962777757, 578769687, 568950323, 770342723, 892549939, 155050579, 947220893, 994003655, 518024991, 137148477, 983625903, 309813507, 745947622, 482986386, 809444763, 289738684, 86120610, 235178057, 219580863, 521663607, 193776216, 248165902, 9777455, 681340188, 599753489, 437977659, 220769375, 917995945, 192874960, 647970962, 21760017, 522617830, 117659063, 356863362, 1537485, 311081766, 5643082, 732970033, 831832659, 357456080, 262615073, 81887119, 213552633, 300555990, 656608097, 30024117, 915730063, 405132249, 144978145, 389168214, 158433451, 157809979, 813028329, 718378620, 257863918, 632145867, 447761027, 69196905, 64254285, 645774933, 909333345, 265991464, 562292561, 752175378, 335757526, 5996023, 447158574, 278298595, 789920372, 292426121, 964652152, 701689144, 859990105, 200836041, 89596709, 682374246, 673878239, 367068047, 265044014, 680988505, 768750393, 785717116, 511672667, 664923158, 616481353, 238197061, 475767569, 265875563, 692191376, 634715795, 2570390, 657129653, 887799140, 360376721, 292086076, 575023302, 571223522, 485523464, 184784202, 855678585, 342374655, 801561844, 819650222, 140468740, 869689580, 396003197, 188082502, 789595271, 593725877, 607463026, 542749857, 375243167, 883235674, 903442563, 221887034, 132872532, 225300691, 836708641, 127345829, 888761853, 401953400, 143753469, 353977350, 734449771, 734486225, 517973893, 742108050, 293536010, 124278545, 31071536, 818315015, 980865758, 166905416, 539073384, 780302059, 247341847, 788176900, 818780650, 9014734, 485211281, 662075747, 446943574, 296298323, 701139013, 384233463, 726307754, 63327783, 162224639, 272659834, 114210948, 176275056, 322225550, 494750750, 435669923, 420248974, 986923079, 807935496, 399245868, 240568485, 489415215, 779556156, 427862330, 715874501, 998890082, 312816648, 404230372, 138879977, 640035370, 658236913, 536133749, 189409930, 985378651, 943408375, 244475569, 342436343, 217071200, 312520183, 921967322, 599949387, 715139783, 479602169, 787520539, 320852034, 582400795, 646764451, 584141842, 272599159, 146246103, 705519308, 908469826, 149776052, 267306117, 892535958, 485679048, 24664527, 667251401, 363245894, 483856980, 118587216, 138497368, 375310717, 770031900, 559257920, 79138722, 18520294, 16236625, 247841769, 810183668, 555624201, 89682385, 543556387, 184227865, 29159080, 631463993, 578841998, 719125332, 718134409, 560105243, 695783366, 495795269, 877322068, 742774246, 136519799, 322297293, 190953648, 642965942, 651148009, 825793291, 848366880, 262203117, 788454627, 848185147, 469585955, 515526063, 849242782, 899876173, 757247669, 518912586, 657080028, 907242368, 626542912, 205780432, 357717717, 343906484, 973891627, 906484860, 675047429, 962312160, 432320801, 484360702, 776761958, 969031601, 23632000, 968420513, 706607924, 554882741, 372447081, 694701826, 873771783, 169534173, 841623676, 460981187, 655401077, 366849104, 431681920, 679935562, 37828438, 208182645, 995530820, 422509247, 100772786, 201215358, 862588899, 44779329, 567671325, 328576529, 740653190, 176051277, 690320401, 288966913, 635154108, 339500686, 270641061, 669593275, 20704746, 207555787, 531607726, 803159973, 745736972, 637261987, 440599680, 54199868, 39427439, 534290375, 548593029, 215936349, 412117230, 578238884, 62270160, 945719965, 360064481, 116054742, 27711553, 492381786, 94087964, 692769097, 856830651, 10079110, 197390042, 570833308, 398103844, 271414016, 876763582, 179067241, 856907644, 299473961, 85168672, 227913635, 182646106, 7953039, 30008040, 23481539, 988007091, 494318636, 418666553, 301209462, 954936837, 852261784, 598763136, 363752446, 879770656, 281885262, 339547946, 524769731, 113533882, 62688088, 944701683, 540569955, 805914594, 174318444, 636478775, 288935996, 846163118, 6933279, 948143655, 798966516, 992546518, 283749336, 293638126, 682628756, 675381425, 734493757, 892734725, 867766886, 648926284, 656234375, 12291511, 43332683, 226275343, 274810104, 940339915, 535725641, 771829090, 494952143, 676321148, 816658558, 414217821, 223925295, 129870265, 163676703, 87841183, 493811269, 219736597, 583384202, 605405151, 122010915, 783240518, 994873462, 321881180, 902070369, 633129504, 29566631, 666010803, 249878860, 11703525, 634872961, 814565278, 322674240, 3768196, 972212568, 721173578, 200544544, 482460777, 518450026, 435331927, 605349521, 770413209, 823119462, 161788846, 7964471, 100637231, 970084812, 783421997, 201097047, 266752500, 30207067, 202412961, 728531581, 728895609, 614426019, 398499830, 100953717, 992215407, 43445998, 851684325, 30958392, 432309097, 902032955, 472530145, 14599818, 162022319, 116446857, 926123886, 285615768, 951329543, 237593170, 541738879, 941894822, 468388868, 900937349, 897808791, 634620723, 19733648, 365834960, 383353347, 12077503, 285630379, 410400835, 518977870, 728374378, 499105059, 687241336, 187509732, 91777862, 66436514, 581040299, 544511686, 848330775, 506948508, 852295134, 352117921, 480048443, 711425558, 637081445, 886315932, 715137752, 737870362, 848108942, 456443354, 275901370, 779773386, 910145766, 182551234, 772530601, 823633058, 175198429, 697646565, 384318624, 698533227, 774534675, 574986922, 287286845, 740509082, 502078495, 774719793, 191152899, 459082349, 608549553, 630243867, 62822387, 673101955, 206264350, 821934609, 339317585, 607765385, 731603762, 815542012, 32158127, 208254331, 545489321, 878167018, 373401899, 705359126, 911210908, 751099254, 611170386, 180678505, 481032847, 561489024, 437540447, 714743416, 623470341, 867032431, 426103035, 187394170, 972770300, 767087515, 370523297, 7674861, 944474792, 541986061, 771598434, 6405700, 269233814, 763686761, 793758062, 148403583, 484421578, 376346017, 143978985, 292651974, 743217116, 430172240, 440608717, 119850863, 710330150, 849584841, 756419165, 395218534, 313735374, 512449608, 670639704, 916004494, 787945132, 225528918, 164386336, 23553749, 565626363, 314337475, 580280503, 400323809, 240870136, 229370031, 570539938, 465347228, 803211533, 418703449, 366085891, 496577607, 490830370, 297997277, 46899797, 271291375, 248755674, 146620732, 175431417, 633134805, 873301314, 16602139, 293661599, 868370986, 970316555, 187997377, 14275234, 2613735, 148424093, 791606209, 305710533, 219634156, 414055225, 388621152, 322172629, 725317450, 14720368, 361220672, 437032596, 17088960, 55031101, 297321695, 247089060, 537445195, 95681841, 712900488, 853380491, 246115213, 151639446, 507220727, 748643990, 930648537, 683730996, 306229334, 81132001, 224289122, 221413952, 621881907, 404886702, 96250993, 147214863, 517846881, 557469333, 705789570, 983977196, 906031793, 615414840, 208665310, 665994138, 166290313, 770492812, 587575497, 856096171, 264023389, 620179413, 207522876, 907709904, 375005922, 104128842, 82975774, 124811182, 570750565, 260358335, 439367887, 899060034, 462396692, 477197115, 325902845, 795333818, 624307681, 809459085, 834097495, 768979319, 487622626, 902648985, 907877770, 608843222, 384953349, 300421778, 614268213, 563653071, 599946935, 352328657, 69706539, 112815841, 954522432, 171267047, 778253987, 678850347, 711712870, 963490133, 668004367, 565825914, 908233023, 161933692, 780093430, 410403042, 28676842, 443060720, 15654405, 797981880, 657989737, 264500421, 227477741, 278194421, 268619871, 391240962, 554883853, 398259327, 955276782, 77023455, 807043527, 348045056, 530579812, 956206885, 277944499, 459009114, 729758297, 54720464, 562765471, 887005134, 995119959, 635904012, 766614885, 74550887, 775927403, 355919579, 194565851, 793881314, 483814251, 821939531, 299968251, 96397305, 68367844, 36778963, 593055904, 575361304, 606073908, 216646301, 453644587, 712408878, 392318206, 50981118, 177052714, 657434125, 960675992, 847481327, 954944360, 346653587, 505365047, 732879667, 918375961, 740854295, 292598772, 428908485, 874597924, 626967042, 745127237, 923196868, 279939851, 908018437, 891117962, 9457006, 279962571, 121617314, 537158128, 746000627, 206195021, 297568541, 201952039, 964233700, 100030331, 983303194, 686878277, 384705376, 892102859, 631990587, 550767535, 536243148, 765761453, 542057054, 511529530, 861252225, 867880081, 690241597, 176630702, 121533156, 91551525, 466095630, 782198730, 491182019, 201842032, 729885951, 654740909, 635006939, 78937086, 319666468, 284013814, 189447754, 873284036, 645647297, 953162432, 769582145, 507482857, 397839417, 655285864, 44571021, 134977231, 329870814, 895435441, 943625697, 907812037, 243048152, 945751497, 806184324, 844674374, 600500313, 546949394, 337333299, 443243254, 13259500, 694782541, 654273724, 742602848, 581240864, 860995157, 33393512, 584606166, 371294819, 81472055, 271353026, 864024293, 791658761, 670830023, 745238340, 95603171, 139791326, 176245360, 308197955, 168479805, 33573126, 282387854, 5773279, 401902226, 536576121, 91296643, 70488132, 711630875, 505703933, 895318099, 861664820, 353371275, 973753725, 230530512, 631599588, 546183701, 679194142, 465575779, 200112264, 97997718, 920333062, 534207337, 733306045, 477572757, 185524323, 281403524, 728503414, 842742708, 118889571, 820422996, 859682059, 29060121, 442559572, 888773115, 909469310, 479629637, 740414019, 479315594, 128990933, 111596984, 79051459, 114805631, 213196446, 937716199, 754661403, 837441596, 383411396, 553541389, 95366387, 800489383, 56360624, 213546130, 364546796, 903795617, 854198358, 730577364, 615718556, 634878447, 911799848, 421772836, 288963920, 315600360, 236630537, 248321485, 857815513, 782330384, 225812404, 616463730, 666464852, 650983840, 56379411, 275302893, 547891617, 957230532, 404519336, 454329224, 859367103, 853098622, 219230306, 117117027, 368051407, 112091008, 672701203, 605479038, 670687296, 578141485, 45683294, 202405911, 834524469, 993575878, 536962551, 717730959, 543926600, 781563949, 163824685, 157458705, 846706589, 789086580, 550250943, 537380764, 581454505, 758331964, 688797485, 11543057, 51162869, 916678590, 490409915, 19612841, 456182322, 745003424, 35953862, 276883104, 257423427, 955836491, 819276005, 904024572, 378186331, 506952712, 65106136, 145015496, 536134437, 346157928, 524731574, 689623730, 954998003, 546593694, 79039056, 409754782, 213421330, 613314748, 25933167, 835472967, 1646365, 783481497, 598975102, 561393480, 378091033, 671047478, 457264909, 70212475, 622152907, 12732708, 346656640, 446946300, 806619391, 468225671, 542168892, 538696662, 300526318, 895280124, 916902533, 537842911, 983333846, 136622672, 24933862, 802469667, 69905931, 421700350, 835816807, 526502451, 269528634, 908138868, 105372984, 304469792, 597262227, 886492997, 469536119, 451209998, 343057163, 105093077, 557735336, 442058029, 897693743, 689215100, 963313567, 483462176, 518278936, 800410207, 13228855, 290540737, 146220506, 53905759, 818981368, 819539353, 948737548, 83332120, 464410520, 924051903, 767837073, 652796828, 302944747, 530953290, 542009593, 724996057, 890889249, 376452260, 822441448, 62236054, 443564856, 762021694, 888128620, 750785556, 615046021, 850651124, 684427967, 763045363, 409767145, 573716577, 16242486, 910907536, 682514732, 771662550, 382551027, 562185876, 561099510, 154473060, 956227622, 310881752, 24885738, 122724740, 705865887, 579444701, 350632134, 812647317, 109046085, 740326830, 641476421, 597608474, 572733277, 477175718, 49176658, 509912961, 64381912, 959912721, 488347562, 386208528, 231515089, 40376279, 241145272, 87997934, 932544449, 723485947, 484388170, 550696959, 374739313, 298557956, 856479869, 919892510, 610309496, 154978481, 445316117, 875339274, 374028593, 513139270, 85166735, 327758896, 472996630, 822842317, 365646201, 823264141, 883709398, 369599735, 735372989, 739143376, 807625713, 183512181, 271826617, 882449681, 503156378, 168640499, 165591767, 77824710, 295158483, 527180708, 805858786, 694526654, 592001157, 883072702, 390573122, 884634676, 340847402, 439862584, 254121992, 685836198, 446591464, 340154785, 98959457, 454035207, 102613333, 552120046, 198003336, 814577658, 365436522, 640562003, 117249241, 993818233, 870412405, 2282143, 147254648, 594791355, 328548056, 89111233, 920260078, 362907827, 265226889, 644929606, 390969639, 288767299, 915217856, 430961380, 945276360, 595497295, 942638564, 123248722, 739589557, 450516390, 866479818, 339626728, 558993589, 363608529, 839366024, 473939996, 293538212, 512822186, 656228361, 51898543, 66845216, 930625070, 723807565, 626250469, 33788579, 590071493, 239769018, 496623753, 588900196, 758019906, 628553545, 169943210, 854083597, 702508216, 649825579, 47710310, 420623734, 865222646, 34755128, 693550148, 239003571, 918254884, 210003819, 530595180, 678775264, 639460732, 940944330, 630570197, 733087774, 428101833, 71844828, 312722250, 665573923, 177173264, 481026137, 135562158, 116550547, 200927417, 997961521, 242026757, 951270566, 193464133, 797201026, 580980008, 946350988, 879659449, 63196024, 527046539, 990712408, 716520871, 891622739, 99827641, 320422, 816255759, 480469749, 628515100, 789663457, 140538673, 864967151, 736756204, 144233709, 239102183, 420918027, 195562331, 844239525, 67998405, 534747550, 243026788, 844902190, 706778400, 918729605, 512888025, 417920306, 362290991, 331739204, 981648114, 246335728, 147773591, 877180640, 327754867, 899266030, 639872255, 660366740, 75054143, 229171949, 17214651, 820663589, 306544354, 764802269, 438109478, 128396429, 223909258, 515199998, 504346286, 368932477, 235067399, 995766686, 640434261, 812307191, 148754014, 100822101, 499777226, 133598491, 335154260, 764540345, 574574946, 934351844, 441112801, 94074073, 698248824, 428913539, 739127693, 225142797, 662006326, 138881162, 396135311, 694608632, 346332638, 280483294, 394878560, 531886777, 241360672, 707094479, 397068974, 212655443, 988113671, 744961217, 871190317, 679211348, 373968552, 36437364, 725192369, 208073080, 951447821, 596434345, 41851886, 215450484, 7529701, 977243234, 211070765, 392620846, 158683689, 235353800, 204069917, 744834659, 986008113, 965070638, 949972036, 375428641, 34800993, 227721263, 696172084, 687277739, 117695665, 562933603, 688172945, 226035889, 674509272, 212740824, 413651329, 638506580, 916752809, 343785640, 107684402, 538791351, 967986475, 32029322, 57964298, 520258549, 573049828, 33769934, 72359330, 610883651, 758730345, 880239839, 651639765, 498452124, 545198207, 515965087, 29044934, 888505474, 370002530, 663103197, 456079650, 10114849, 1230956, 691740715, 16371824, 128566645, 372741257, 840108845, 623196700, 935501956, 399540057, 108190420, 47506429, 918824986, 905941637, 723385873, 279224471, 763552502, 307288794, 165732605, 525152639, 122121504, 350449014, 267668893, 913316992, 985893468, 74460985, 128069743, 639707735, 306044134, 117051413, 399139638, 721213237, 775858993, 924155671, 565387108, 174666874, 802716534, 196179737, 949203619, 236448417, 633551621, 659021787, 966179447, 675559866, 145145376, 765979016, 672404352, 871845773, 508803703, 633093970, 188144917, 554513289, 809026801, 586683293, 554576994, 768495736, 164096027, 576167186, 96539800, 134106467, 207202361, 458923633, 315490763, 156729882, 277297948, 782044030, 398475314, 983622482, 808479778, 756395371, 581429421, 477390208, 895770603, 603064840, 761213791, 208097644, 521456340, 674183376, 376963439, 26879528, 872688136, 906960320, 935336940, 93954497, 683597379, 139202780, 376388069, 68348299, 331323606, 493373994, 532553878, 280935067, 180508704, 893046296, 864220488, 418579698, 323254110, 565203037, 749159191, 925441298, 36351469, 859500533, 499027018, 930626787, 548222194, 863636918, 698743279, 252848134, 741857389, 107139244, 797742196, 962890625, 712467654, 771971417, 361267511, 418667603, 33151542, 661958709, 987168804, 199716945, 822814867, 847654879, 472516781, 370134415, 341672960, 643113914, 763391559, 827670926, 693402939, 342102894, 190682981, 830696690, 67772051, 89586108, 929978994, 64224599, 686485618, 123665810, 366908934, 401933522, 134750897, 942160784, 636383959, 522110042, 33282928, 168925512, 550111026, 525756927, 616179447, 771691906, 551466930, 372571206, 124792243, 697946290, 962915433, 752389788, 627754902, 481878115, 799653211, 341180752, 226964223, 511451791, 906604785, 657575207, 989915472, 598018166, 432854237, 59090613, 583209615, 438108042, 921428921, 348232111, 48787627, 604412040, 967226912, 810281039, 544434213, 903290324, 287509705, 783986962, 789976497, 441181864, 659781267, 878361662, 820093335, 808801763, 426539298, 435184059, 12226377, 676676217, 849140987, 724963631, 496209489, 8325207, 466404251, 574380929, 752754067, 312224012, 285903765, 174841468, 746056271, 539635064, 212800852, 786335636, 347397682, 387785792, 658226722, 245734428, 278687424, 889165245, 944451964, 75934319, 266079533, 240891135, 85416194, 277796425, 366997447, 508581532, 930329759, 49331561, 149647163, 39373778, 141609852, 144560473, 560215924, 237829388, 173820854, 795519705, 388009395, 250622078, 888390110, 551509238, 109554083, 723709286, 907051275, 294195647, 397397743, 564504330, 193830488, 196425724, 991545401, 91749100, 599249205, 717915375, 845104619, 622991295, 51074084, 101475535, 670207001, 12448108, 681269774, 151619883, 923053854, 639432028, 470095265, 574019403, 377633861, 186462382, 646110058, 437944495, 177604296, 797866069, 379669388, 526101627, 742336150, 63092175, 155469945, 19174041, 173015852, 568849173, 103486721, 574891816, 250045036, 546850377, 727806215, 583013326, 549999877, 454689926, 860098791, 318790173, 942747679, 881932356, 514445243, 169371246, 350929779, 939560757, 261853115, 865950642, 787133091, 537537210, 982852945, 581752928, 100262439, 508808777, 734314104, 526309812, 912050137, 218770320, 676610204, 662480723, 850983427, 889476384, 615169657, 346829421, 10175472, 887861029, 961658978, 258016791, 734028276, 359430923, 335493480, 523736938, 967757691, 258964030, 48962224, 282491898, 137444961, 67422077, 155764079, 405947510, 160957298, 986248126, 139166970, 612301449, 475282361, 693674473, 639696443, 89847926, 657534925, 283689333, 452011972, 447978195, 224726879, 327522442, 196268760, 50705101, 458071437, 125636823, 474740824, 836779619, 275146272, 262097736, 397330671, 438349278, 854116894, 754885020, 20972617, 906381922, 556988836, 69246340, 750931437, 230803960, 874582026, 452961059, 514841468, 478651030, 502749599, 331392841, 676179085, 955783494, 263347970, 523891783, 702796169, 394927073, 318939704, 341205353, 752761330, 240564481, 731874628, 900448853, 773469961, 3084504, 169731473, 814502764, 272511570, 498598738, 220918974, 919129517, 949987460, 974341707, 193801190, 232042183, 669504788, 970336096, 770217174, 230112784, 462331927, 32610244, 968808852, 471086245, 473923514, 485368507, 17362174, 762758088, 809504638, 901079008, 406197455, 878415548, 853008590, 130112796, 322316748, 301061661, 478813290, 613847385, 206025968, 146928245, 992133837, 405576087, 401351861, 376252801, 730339055, 863088594, 197048727, 516420441, 525435387, 359543704, 23831317, 510063841, 167318910, 151799833, 623836293, 456559158, 295036904, 521029492, 276407420, 816170515, 72692762, 499681414, 439487526, 363737936, 706893350, 243725415, 369291299, 389251100, 774452866, 855155600, 460149714, 933832611, 210186237, 507839328, 132509535, 146364591, 326259758, 279487861, 588784007, 870238555, 6871473, 376439119, 19333574, 164675758, 276015700, 671065884, 595317232, 917440768, 498753185, 874598108, 473458834, 678621186, 898421600, 340202317, 557378795, 293201942, 118907454, 954343315, 391506043, 336805137, 332222605, 563485190, 223571042, 495930910, 899911996, 733296626, 167927514, 553795602, 994546198, 773691315, 928041898, 39688888, 850636319, 722022188, 812938367, 152730768, 529003251, 277670665, 271145036, 237231940, 313876342, 346536357, 860978673, 988042129, 512656679, 435696133, 28601086, 271873979, 896683795, 278083274, 748844812, 799457661, 349216713, 80371511, 11450357, 147283588, 249722693, 234482109, 187520236, 535315470, 77686736, 273104279, 187635600, 869885835, 382883006, 652471052, 348241787, 649403534, 855287122, 696701927, 881420789, 610741191, 383456178, 450525592, 945872729, 76495630, 147041429, 419275208, 915871800, 677534717, 90324698, 912862622, 942382519, 965402926, 709557982, 635939533, 522989948, 710529737, 36719634, 326490283, 394753549, 572235170, 918536872, 142590965, 656075536, 642331747, 275856025, 923155034, 926358143, 128126498, 528267812, 728159353, 703969841, 319648609, 530257436, 512325754, 950070584, 182131103, 288846625, 132804988, 396085702, 198175598, 318849815, 295036951, 186966742, 467653437, 924076961, 211148945, 780934710, 351351432, 240881848, 173384085, 722565007, 984634779, 750387064, 599494951, 432531563, 585068781, 28871339, 241046897, 327900897, 12247691, 23813751, 917131240, 491323108, 33763780, 378049595, 561652757, 743273597, 203357598, 10093880, 797780147, 37919061, 197182606, 889549114, 322152281, 355868054, 869251941, 830999567, 237269681, 949676043, 204672167, 501001272, 564194428, 954105130, 716230425, 437943494, 807878394, 681918306, 372059981, 26635778, 871140949, 682119215, 655111198, 896766262, 223017060, 483851617, 882729622, 449438850, 209078136, 223698833, 797351119, 943450085, 660300108, 195929723, 337650360, 103431817, 650185574, 873215570, 901561, 180269663, 101265262, 463726481, 922501997, 473603907, 680552591, 877641564, 684965996, 377458468, 440471720, 984476606, 955870604, 756802941, 340368249, 223963841, 651054392, 994210546, 554179954, 234983402, 617744133, 494160397, 335217882, 328731621, 335620825, 900541336, 754304869, 460084825, 782846447, 781181348, 913354721, 414339241, 577868722, 868970432, 286227852, 133221445, 3559841, 844327829, 502321556, 960255340, 359349618, 544595545, 560778758, 237177696, 994712134, 495930003, 791210102, 975091647, 231953671, 883540346, 366773729, 706251568, 591739732, 200637803, 153067217, 723491663, 494064032, 820802705, 258359209, 200358169, 338687431, 307469646, 464877405, 177910444, 575749366, 640580689, 190991751, 14683228, 314100133, 410455204, 415553343, 964613586, 634237752, 605057370, 428739706, 360552801, 760556575, 686102542, 992861121, 602074738, 5709910, 735003101, 203403810, 738494376, 411796598, 788271953, 953628577, 893073130, 200801575, 123543805, 372835656, 929385688, 221971916, 404220073, 118082508, 8969653, 899950307, 132608856, 139354167, 363469787, 396066056, 143654194, 649231384, 892145741, 746529597, 123452388, 902121851, 822471220, 156284957, 218599996, 753911234, 4395684, 350863143, 853626483, 37531701, 893316450, 6980520, 69772638, 760636498, 662302623, 320620668, 377782217, 124567135, 869257916, 166856231, 658229899, 327132662, 105110269, 403647970, 817527109, 850175818, 352705952, 910509593, 761567403, 200960635, 876112537, 808609736, 293706415, 317955241, 276588039, 925570755, 345777668, 385005827, 809353637, 170178613, 496768710, 181985233, 315318387, 440208469, 936308569, 57583115, 20618925, 286209645, 890862016, 651966032, 341042140, 964664140, 29616439, 958918109, 49485705, 640544536, 91699968, 662805271, 71048922, 408185415, 891584267, 424421700, 929399251, 707902318, 594316014, 360480411, 496363200, 488455501, 970541246, 387018072, 729502464, 200183080, 878948850, 916680114, 662996141, 208307530, 364748362, 935812413, 133160846, 940563662, 310855802, 632492126, 154716647, 33596857, 744202470, 256999061, 756872550, 971246277, 93976455, 221329065, 290989946, 579204201, 497279546, 945477337, 638652052, 93619016, 481315889, 671437185, 345593739, 632810701, 288317494, 394016544, 2684089, 187665070, 56229132, 918267759, 208544814, 965508393, 72475716, 285800850, 900058927, 964734527, 405866963, 452204718, 990015662, 325669650, 867781006, 998926494, 517865061, 439758271, 975695557, 775306986, 641909567, 696757002, 11378786, 579776699, 406190883, 563015184, 459421516, 187157818, 710135030, 773739178, 419278729, 890374827, 623327864, 190341956, 407258148, 159527729, 430923261, 842629533, 897506555, 236258058, 563992629, 435967022, 350512722, 272051307, 628193606, 228504053, 398608995, 416866242, 804525809, 499084891, 7908875, 484248874, 101759945, 853848738, 834253099, 309142804, 976047413, 730724304, 356373280, 125999636, 586586877, 63220682, 865422487, 654824852, 520026057, 813143195, 55971195, 395310788, 62513204, 887830365, 81640209, 308275328, 504641661, 366937017, 856349932, 218356630, 80571094, 648800083, 786893486, 447259175, 724360928, 20443411, 510430168, 262237899, 246786391, 221418350, 254478843, 337249062, 94706717, 457085804, 550661231, 478762714, 646173108, 812818603, 471547338, 95145840, 667381656, 662568098, 757106818, 466167276, 549403309, 639847164, 865332068, 880902900, 211667403, 328460179, 276865579, 111515760, 970431794, 199415213, 305524276, 10796812, 53962766, 315568277, 746510794, 67093862, 484016721, 430784087, 338900103, 377096180, 597096624, 69128589, 716902117, 362214180, 192933894, 519667534, 776377767, 359033150, 777054348, 800962659, 564315218, 235767424, 988895548, 874198576, 971175702, 272577654, 257171005, 503145301, 943417365, 97341019, 194850163, 37697402, 336156213, 99905577, 31586699, 97873377, 95425991, 365334477, 873112258, 986914418, 629984151, 950857386, 264107472, 444392057, 713862392, 199445772, 773386823, 686471340, 653485585, 358709576, 30329780, 631204920, 831415355, 180830404, 652169807, 895778407, 744735601, 530951869, 625253984, 197941560, 332041981, 388597197, 394380769, 348151309, 46126096, 970088141, 247767842, 394953774, 583319765, 799398853, 296042244, 60817222, 153988770, 99882215, 757020869, 690923729, 434444578, 638614352, 48968908, 148503327, 346453101, 59545608, 198217339, 2111613, 179134867, 231415702, 923236313, 780225101, 690367714, 360675066, 161451115, 647611033, 292714863, 120984596, 205840350, 851816937, 823694137, 199304189, 329828839, 743636565, 697885987, 109257996, 864899676, 563718601, 408318781, 15702437, 813814795, 253925202, 258730713, 272658650, 948800413, 855983021, 879202152, 516215667, 657615301, 600292149, 748230114, 974846888, 244370897, 222245287, 491619152, 802565880, 799899533, 652678405, 403880734, 666626244, 844271458, 196779942, 217535716, 195928799, 448183342, 435143720, 193784454, 952215119, 228281294, 239634377, 509417572, 697232623, 327642850, 398711545, 374612687, 649791496, 126968874, 898760200, 103174691, 199428996, 833225965, 488762612, 600991116, 66984308, 711872644, 614342625, 317891904, 567857834, 643634353, 168358534, 95423274, 675599450, 76203872, 169470366, 692617011, 818729485, 84863162, 975497351, 136876859, 951817379, 666347568, 379341062, 394269910, 896046145, 286649062, 514749592, 221200329, 534413225, 541475039, 376383915, 677267436, 352685758, 27114154, 125255734, 234012043, 657053715, 857726298, 141430769, 547429248, 394230879, 453095759, 883148772, 394464412, 783143215, 536369570, 499010265, 351384809, 143851716, 961922902, 164564944, 380225974, 13927014, 130863054, 940236666, 452460023, 656426353, 538726256, 823944972, 975334874, 482120758, 448529509, 285654538, 77368476, 354113728, 565344598, 980218064, 949305017, 799248860, 275977262, 357038655, 275594232, 844870009, 70316529, 700544279, 649656981, 30566796, 218945512, 591642401, 384779112, 986340585, 904317397, 449199680, 326764768, 28295960, 18687880, 395588489, 204603301, 565837237, 47044178, 815977777, 470538900, 62865242, 11285158, 599010878, 178176676, 988500331, 112138860, 428100508, 999263666, 250135920, 859132051, 740924632, 478357802, 632275507, 94100885, 701802098, 157125951, 121865638, 291677535, 774005337, 517016321, 407086779, 956872590, 653170921, 946551418, 769247390, 7601513, 678737394, 146095366, 516041045, 156981291, 284869639, 772072193, 617988144, 17977168, 756386060, 715855822, 680448852, 404424520, 453690261, 536075808, 494121306, 771593660, 932670678, 561731510, 410414541, 243111190, 380345716, 481316186, 306280998, 955613745, 539597092, 729236395, 685118116, 999900263, 304049140, 749364982, 819775452, 95637006, 97588146, 973155547, 909821488, 583805501, 383554102, 3476532, 997429234, 395656307, 412444801, 773379846, 869023532, 974126247, 851489904, 220784315, 578502085, 680252276, 453433623, 302648926, 683791853, 992061640, 831902357, 68478182, 128638502, 416682263, 908872477, 26317165, 228583607, 721094204, 549518889, 496153249, 998337047, 731508363, 593096933, 16826479, 996455880, 326040482, 685807611, 66124801, 804459434, 182462857, 67557405, 681034984, 640393212, 696684415, 821359477, 505046006, 58775578, 307770096, 752499660, 820497891, 72564925, 331580702, 626682928, 102943046, 687914428, 771976779, 14381387, 700526973, 298382503, 665739561, 951371644, 584147618, 519514425, 397287854, 150504079, 429017327, 550833497, 16257117, 852781514, 370152649, 136780506, 463550098, 287339788, 168504688, 128284781, 290363756, 258433917, 243086372, 921499580, 965114965, 762952507, 616287461, 369850859, 186683564, 105096028, 107987617, 840252679, 316672029, 238846883, 218205842, 811785991, 249157020, 997859095, 549163546, 835591008, 404995179, 566513065, 441760534, 136630135, 203332319, 565543864, 886636509, 960738521, 293742507, 765785150, 307411496, 686990785, 426668685, 537450880, 958364493, 869356216, 199613330, 818278301, 80912993, 813099894, 751400263, 883043472, 980328226, 676141026, 252680776, 363464083, 603978277, 922352863, 378444823, 167754199, 612550973, 573125742, 885630493, 158916773, 832998220, 811370455, 492715233, 964276412, 414167042, 410262095, 742764815, 316656246, 185277190, 497965903, 198747333, 929057251, 128595177, 747216745, 75185247, 17991255, 456757236, 325938600, 759115741, 866490843, 523493457, 644121724, 353402828, 803599932, 432016032, 87650965, 750177719, 596344606, 515348319, 576037649, 36575015, 891076206, 443090227, 311555463, 563097239, 201201862, 19915210, 197126047, 876132967, 375722834, 674518728, 36833123, 128343321, 610073745, 613475254, 473159679, 595363563, 566974359, 280563017, 209320496, 958684408, 661509945, 627710215, 107850182, 959637394, 631934638, 140135108, 918716482, 815223540, 778524397, 162265314, 739211967, 708381537, 64978508, 231130882, 353187023, 552712332, 421768691, 753927055, 928393480, 144051213, 101436411, 923874028, 679387602, 731106721, 59036250, 651701385, 75956938, 122331053, 577210916, 730294310, 479869706, 614499100, 223697546, 750990127, 442605518, 603406270, 509093818, 659443266, 127912665, 288370849, 298776220, 22917408, 624557624, 167355019, 826817509, 152585720, 531743955, 352120846, 900930421, 641222739, 562936849, 110456648, 128892316, 178619682, 590549527, 463955469, 425339725, 138545705, 553990656, 941450093, 225341252, 908703385, 894680134, 202479269, 718378828, 968657244, 916962207, 360808500, 581004815, 164290529, 388924378, 797835151, 207489061, 179067132, 113049599, 175929109, 769452790, 715049140, 581362025, 467537986, 841338858, 475102365, 666987836, 846685501, 957633472, 429837032, 868914894, 898954929, 140329368, 854770883, 359328377, 329197511, 77190726, 386540761, 61747241, 386414653, 543056521, 215071618, 710372319, 660823707, 924048963, 526217166, 145668579, 845269113, 198643144, 36313107, 794661827, 72002673, 78784862, 49406796, 443067454, 90545449, 213390135, 688036866, 149023615, 775892849, 954196635, 633220424, 840164875, 285791832, 343947462, 432975411, 125535048, 187766324, 366827312, 981829916, 686088914, 816691836, 847877530, 541565109, 443255529, 145854383, 770376840, 955040752, 833200146, 388880112, 796592472, 635361003, 169086291, 199230933, 411517043, 902813132, 381925417, 753631470, 95065849, 376552251, 566234891, 757207489, 108282609, 197220604, 156944614, 525144477, 911499830, 758282013, 636369688, 41793616, 846177916, 476676339, 773860245, 111370900, 525186000, 597412929, 430069519, 448210023, 819714405, 249920831, 929468050, 7883370, 793097820, 465914513, 236725096, 728709146, 351144633, 187348293, 485269670, 103065161, 859441895, 503670112, 478588610, 902441825, 664088782, 457493671, 566173392, 72771833, 24950574, 236677637, 746403132, 89514671, 799814537, 346026221, 294357516, 243378069, 834909301, 931105012, 181589080, 964914276, 809461643, 126398601, 246257896, 475948446, 268042789, 384578621, 231750172, 980459362, 534667724, 54995671, 662642039, 674408372, 981677841, 281974352, 187477744, 688072457, 388904634, 10615180, 445577085, 257093576, 100146795, 307698350, 487241862, 150814935, 878486034, 672361623, 471363005, 63196505, 462636986, 838603787, 890509439, 541243138, 5418093, 447277640, 152056240, 750074071, 748798102, 848676451, 175220187, 623565273, 731562734, 594011748, 14613092, 802667770, 870902794, 663011518, 693075356, 635019790, 949915511, 948166876, 162383430, 534165084, 905657694, 372920162, 313752881, 884460071, 110891399, 48183338, 513145401, 61344807, 281610686, 231024092, 361121443, 97502696, 444101001, 656696163, 961336942, 894102596, 937606624, 848909847, 108262245, 518683417, 773278519, 803338819, 368560249, 917151059, 86913188, 277009462, 366394324, 792664371, 832225137, 931927773, 89959328, 629643131, 244339385, 762104955, 230438783, 853802266, 813612646, 801346459, 334773905, 500291012, 800020000, 713689156, 47516179, 154680905, 51796706, 865612821, 324322253, 857175006, 352201490, 792172719, 109942428, 645786811, 985718823, 762296307, 300829949, 433821620, 261873828, 467878378, 576831372, 3741803, 607988906, 389142562, 38006933, 576854256, 442012465, 710555532, 819021591, 492765852, 776975923, 739131577, 412128575, 963773552, 823234329, 240820233, 987093623, 426974220, 124908151, 205666419, 563124912, 864146282, 128770356, 733853593, 977286840, 61770222, 660254401, 290807349, 366733884, 912848128, 143448859, 950462745, 904578284, 858275927, 558105820, 226139507, 369737749, 776330210, 753858873, 977524726, 858320892, 825085437, 884821992, 74881360, 314623715, 533698463, 229249292, 925118387, 400298977, 688097450, 336982129, 904128892, 904543589, 194717749, 891410237, 75647801, 26176917, 748224154, 520158404, 620223105, 140669681, 698896058, 741666875, 598802022, 401794095, 872434527, 827666, 123047174, 346113366, 886280828, 97219402, 694793891, 177967118, 258129911, 159091689, 712238728, 918400855, 514117056, 694326131, 570614232, 167509519, 94646414, 402631068, 123092153, 487963842, 45666383, 617391014, 655785946, 21894444, 798074558, 793891328, 872082901, 987293260, 806520426, 910267068, 387725368, 91500798, 84987168, 133465092, 106667126, 98971270, 83016183, 565696517, 495400084, 473846713, 707286794, 901857477, 296104704, 115512704, 125632882, 947885136, 318393543, 717387350, 188752311, 16597375, 999707709, 991035931, 205952423, 809328496, 227945042, 950622104, 228506651, 915939097, 154813956, 723848140, 398002546, 810343884, 567214624, 966148508, 44424230, 41320551, 396853125, 405655315, 539941311, 713713608, 550144480, 313539162, 530358945, 634007306, 310902549, 513946029, 996734270, 18258783, 695161736, 229532516, 500659459, 808735771, 218672801, 986524218, 358642710, 962462017, 635699077, 159504878, 996734648, 542465076, 963258008, 638407540, 664091282, 373427303, 881860103, 975996688, 885806540, 722329594, 324854828, 255461627, 422357885, 882940023, 309003263, 585059504, 492566623, 861837440, 21306595, 803861330, 71836216, 455276657, 31497591, 856406370, 811665913, 269219192, 629021615, 986171277, 21199970, 158084493, 205787422, 359940157, 855477157, 469671847, 144922723, 765989004, 174884902, 668351476, 986489329, 938469469, 586459529, 550569470, 246442132, 725474290, 160311824, 730878590, 94269599, 445647542, 886494621, 923496734, 703034493, 843729283, 609622772, 815075813, 671582917, 241266722, 361206893, 37230979, 741992429, 498941236, 875543224, 341469609, 797445646, 820351805, 18648391, 523610190, 942577664, 272468680, 213515734, 293767787, 569633839, 183014214, 947353868, 148636272, 338673779, 347952784, 992494763, 514534244, 631915974, 508029088, 956900411, 347339628, 751333800, 218969697, 4524734, 188425992, 264244673, 626838124, 362937276, 437431772, 708107779, 465494802, 547359416, 330587972, 48177900, 530873603, 755550985, 367179621, 62704524, 656226839, 368362571, 154304899, 511787239, 527829580, 411322490, 42329848, 537307188, 595913015, 615460255, 985720108, 309084845, 573056073, 105596506, 343282402, 529653803, 320273626, 279663090, 848107195, 239100461, 938638683, 731225176, 678266555, 428131676, 105346141, 143519612, 670331253, 74892075, 286019741, 951655653, 456592110, 335688181, 949844091, 8269580, 110725314, 97931729, 788076237, 608957166, 694668387, 190499033, 609260102, 691473652, 351690438, 687835638, 901928667, 974487478, 416040660, 5427384, 645534912, 98000664, 952111488, 593653677, 153504530, 998654572, 832183438, 714550604, 350169353, 887891959, 531966002, 960104929, 619203691, 369786335, 341328640, 208017715, 416596122, 880233714, 155402055, 752941938, 149996609, 736810490, 762744924, 310357908, 833752017, 319087892, 188508175, 899907862, 496906921, 805983152, 31741161, 505838153, 861629764, 503421391, 511160822, 584928733, 874620009, 312497073, 915290533, 257291992, 185848566, 347026771, 661184333, 265134961, 584981491, 485099171, 528433337, 94491781, 250490934, 298653820, 857120154, 907277466, 341399480, 129194815, 293203131, 431960142, 966237773, 301396890, 856338688, 116492543, 12430031, 22808747, 310428991, 202838390, 666279295, 751817037, 448319007, 501845705, 489733300, 551562710, 185820249, 914105738, 39851981, 379589722, 56875165, 981233063, 314754824, 508014413, 745212386, 657375062, 419665, 508783753, 988323960, 471414494, 966849060, 460693588, 444040385, 562092294, 243531410, 710041749, 451268355, 467058681, 289853258, 535277494, 900470353, 973501120, 69098664, 8127649, 484916501, 101088655, 418568020, 584713224, 593273335, 614459196, 680618615, 534553909, 688781836, 299951847, 691390075, 723263808, 154167238, 864512787, 743354110, 567750116, 262345348, 126661557, 418351999, 28529531, 684260482, 183420305, 23856276, 833303558, 906335712, 70731824, 393820115, 483820421, 770334925, 540329791, 376966774, 338582704, 58773395, 954479833, 319299361, 131772965, 93015980, 741941683, 904592935, 274601848, 798842046, 430763329, 28441783, 96211403, 918834219, 808692629, 645897861, 920654590, 680000669, 958987024, 208899228, 675266579, 931789662, 217781253, 511629689, 909438733, 778010357, 281543585, 996126666, 937979199, 689912384, 47225492, 997687159, 185946204, 609847778, 228493713, 657728575, 302849916, 362859208, 225895567, 940383938, 654732754, 470498391, 986998546, 896576201, 681727949, 175595719, 117436496, 441285832, 225245142, 159994574, 680070740, 34495583, 397666979, 295569857, 474820580, 732945277, 844343121, 218338911, 336813783, 276339140, 632344425, 88288988, 993871965, 381200673, 923625459, 156349142, 957999232, 350991453, 133307887, 484122927, 152498388, 914608996, 474952065, 431699899, 407539239, 375152953, 333557375, 137764137, 857072022, 602727984, 150099467, 779189692, 685675802, 447007829, 577659643, 545478125, 681770104, 247543368, 103482410, 475101309, 844694689, 252664481, 736396207, 723180470, 986912227, 89091391, 700870217, 14805349, 303812349, 944914112, 604766683, 816221230, 581408510, 374436471, 691054992, 527059170, 48758421, 327390156, 760447124, 874371438, 168991479, 936056771, 612435976, 176964718, 211348682, 258628623, 982809811, 345026788, 802414958, 184223985, 377660735, 417996664, 749264138, 212889682, 283907468, 781482414, 882893240, 956084162, 646397275, 881385824, 221670946, 686290619, 219332938, 616126005, 251975416, 457306012, 506102857, 242885264, 284214614, 627769064, 230693506, 21319166, 684930291, 976953267, 492797496, 793551474, 358127325, 103791251, 287222229, 651488472, 947349571, 253053425, 119161217, 543917246, 584297716, 144498180, 193430150, 902826262, 642330345, 711448756, 609612005, 688074427, 374390183, 855110380, 93535335, 70612888, 501142405, 532151590, 367703865, 246165953, 856179679, 294109842, 471455853, 822550416, 394906595, 743543765, 38106170, 162675666, 784039368, 650670158, 406001896, 154578659, 582684240, 704624951, 112883046, 997288652, 279812013, 825891822, 809747393, 242971212, 978281970, 162283308, 737714988, 674497177, 310472730, 896676095, 7014847, 84288054, 242712482, 289575458, 809263598, 856858864, 529960910, 49800761, 430849902, 338619728, 412162393, 674279558, 228829704, 493598293, 72408916, 618719366, 500864299, 651135284, 422713954, 842431228, 484659457, 797099814, 276056919, 121083174, 26261956, 310824857, 625839443, 322904738, 246308821, 745061655, 70333486, 86747571, 949597652, 802571351, 521347897, 513292585, 823793860, 595588217, 601404706, 763544760, 75517740, 35171890, 442417424, 550190239, 88139565, 508089107, 135246017, 8669901, 154816022, 965208461, 843930617, 38240959, 976655499, 107604343, 363576848, 370450938, 46296990, 263039039, 873866788, 649841250, 303172124, 933283070, 401538634, 728577577, 370581325, 438223102, 585688888, 882584477, 219307550, 595553855, 156729914, 386563509, 812112954, 294769598, 222055607, 908649422, 531667197, 380928491, 413871009, 828003922, 685588394, 277949631, 741088474, 700026515, 379288058, 62753302, 291661447, 487637545, 500450573, 808861577, 950787047, 167466493, 454939006, 529040611, 36437670, 237877932, 597303436, 253171749, 271506145, 9462921, 99214672, 533281904, 991514583, 455006025, 375286368, 557187405, 76740385, 431599489, 526337206, 244060653, 904162986, 310593933, 869812043, 583712192, 942814157, 763344151, 771083384, 920495054, 934546350, 447530953, 876483509, 813661041, 4322520, 45295225, 186298891, 682021284, 179949076, 118305553, 363009517, 159856008, 167351084, 756518514, 951064217, 897559130, 95406662, 801960729, 994421723, 240705608, 115273383, 746856118, 248240600, 839038610, 931846789, 253231287, 128720813, 263250487, 544343094, 315256787, 570496601, 730063806, 227803308, 182068972, 419708845, 901868692, 493705064, 739836789, 375243407, 148658385, 68639694, 304712096, 17281405, 519374683, 890805010, 35849691, 567544666, 78821061, 52994419, 115766810, 993050807, 51351414, 599945846, 341297247, 345535360, 418544574, 895369467, 308666287, 383319598, 794627223, 875970425, 651247049, 18595899, 474247629, 892656054, 40761243, 529697181, 325772547, 80325121, 18409740, 240171036, 766037219, 772740007, 364868837, 182965165, 384302698, 561388080, 265511311, 898161321, 246291103, 754354636, 379973430, 329613305, 818589453, 236720955, 23553091, 9932253, 378252552, 254912861, 579450974, 780684963, 907539454, 501097386, 845921484, 532139572, 170628203, 714796676, 705109182, 281893189, 548687121, 461660068, 65737470, 377239209, 980536221, 618531872, 695127763, 691766223, 884060013, 255549143, 406203411, 249753022, 40920662, 855103417, 18953347, 200818061, 847457867, 958835881, 754560685, 936657253, 616015628, 526060227, 915387399, 239983539, 318330396, 373679982, 9444841, 460737962, 779512252, 485142341, 255348988, 732680329, 30973579, 551367238, 533322903, 110482007, 350598013, 626922855, 484885412, 412361243, 367080323, 314044747, 952309294, 467865531, 514165196, 772207120, 955467035, 276276402, 872408959, 721317036, 804319148, 454722900, 674706632, 668470409, 526353728, 827215660, 954324353, 703228518, 221117986, 461162999, 926663717, 706946012, 464108493, 578531316, 428472899, 242422497, 315155060, 928812189, 640640276, 47645752, 978579306, 419832680, 99929831, 824138784, 690279631, 234513328, 249380918, 519360121, 657310192, 532907584, 536914837, 778734322, 760762060, 481241166, 811321578, 185611578, 554963751, 513017647, 786776222, 333400141, 767642860, 934303279, 570232287, 408538582, 145216419, 486247977, 330840061, 569989828, 424057, 692401837, 159877397, 562959494, 270120103, 587437844, 440659102, 205863936, 118740550, 710761476, 957217951, 531377337, 681242760, 985913128, 888584122, 931988877, 566039769, 807380073, 64366178, 83248670, 156862502, 493045996, 298161406, 806340857, 46848173, 861646606, 178129798, 741790981, 114395896, 754880599, 842698824, 409820963, 87907167, 610057743, 135801220, 333665406, 33473000, 631451773, 752932483, 790736056, 757349968, 652166184, 146817114, 158321695, 598066579, 196701356, 982264735, 599202081, 909898156, 813594639, 775235249, 34841629, 424259706, 960353604, 760953256, 242449360, 741085064, 158680777, 842737124, 403283210, 126505414, 122506227, 76093783, 559832666, 865171127, 72605369, 786799391, 162364900, 199360419, 659513050, 342036383, 173925043, 36196354, 651461436, 701522084, 852487301, 297603991, 183477447, 938205146, 72168195, 177416866, 551844881, 139171404, 669801849, 655742386, 201229147, 406276652, 791976016, 520428621, 160607335, 163773414, 362314275, 208623764, 715113825, 874858116, 145702456, 862941546, 517438344, 926624109, 281439624, 434708480, 85739815, 983307157, 896190340, 45538313, 1112283, 950417477, 399621420, 43017426, 318124950, 473264489, 294139005, 71955413, 721961085, 807882748, 804101990, 778615669, 737868279, 962721449, 915666144, 637163029, 348939732, 626537220, 185217384, 526371273, 243982703, 428722948, 621680292, 157006153, 388187046, 748100406, 289201400, 445979358, 849864270, 542913999, 719550391, 274936038, 987972446, 120241828, 360547065, 677699961, 284434244, 154679809, 278159965, 910877490, 483419828, 423110961, 963586421, 470228642, 321591509, 208365460, 441155137, 917845819, 862802388, 536636759, 7551770, 33951591, 308995971, 583693854, 446791978, 251257935, 202245619, 887805673, 975942625, 435554413, 719521468, 242628865, 778151157, 122435315, 442096814, 251712495, 9530670, 80415506, 353140795, 257723090, 593831007, 704597499, 56261553, 940260192, 927729137, 16366877, 461846148, 317039188, 244313787, 667996239, 562378934, 231415353, 818822583, 583153471, 149684859, 810348054, 824825037, 44359382, 491355565, 470575784, 227565090, 229355790, 961912974, 983862211, 738749786, 38627710, 404353964, 352192861, 409204281, 844056339, 897316985, 268188697, 269423565, 193463230, 323422523, 296754900, 357941336, 675414827, 128426050, 226698094, 299356455, 669140252, 274377839, 74070800, 458498010, 153108571, 432900129, 730400920, 159087248, 238215822, 234803160, 35033238, 905989403, 974459499, 621098963, 926127705, 214507535, 771929957, 948186250, 283336522, 252122627, 320234647, 71608032, 133946123, 443917029, 33769953, 968093437, 215210889, 159255697, 814967151, 184130555, 220011713, 536171265, 328411621, 616356417, 56667039, 583897930, 717435641, 95740772, 808460829, 88171114, 685347574, 514506689, 988092848, 479986810, 40536411, 849668630, 939343183, 895169473, 532158639, 355038138, 466417320, 106557820, 942660427, 458454605, 209798628, 726455887, 355860083, 121802461, 60192827, 703491165, 655844672, 188194921, 305620615, 646465031, 740582378, 914455503, 24824306, 52469972, 142000487, 305845048, 534649247, 829911126, 101051375, 921899676, 410876562, 818114745, 735180172, 876696325, 187728751, 104805607, 843756101, 164481807, 929522104, 914883040, 517628466, 414437627, 374101556, 205065143, 822114862, 73106046, 789590032, 930071565, 948515562, 764742223, 445590247, 881254618, 405741805, 673496269, 912001339, 934004146, 767933137, 327828000, 434731625, 823479643, 688660420, 738084020, 774633477, 164325947, 246433467, 333603668, 936232837, 876267833, 798595808, 936968425, 902061235, 954873129, 597732305, 806409226, 94671672, 837211208, 728209283, 955334309, 920178977, 744558705, 534014270, 998130972, 435147928, 193930914, 322153093, 740942865, 705922779, 381777014, 950670937, 744583549, 251579496, 549364646, 317598139, 71417875, 856287515, 643939251, 280563986, 151384423, 823878938, 178042031, 614105112, 185815204, 30889561, 214602558, 703479549, 827119949, 462598351, 264362965, 18710098, 311756894, 887293002, 850997785, 956368221, 624194679, 115383106, 987794536, 956596708, 81360378, 584582246, 403541567, 534419263, 558113207, 126549395, 859073546, 576185303, 648116925, 562317695, 975981229, 901737647, 235125303, 779675974, 785625036, 135729012, 529464219, 186307351, 342264233, 847775556, 775832855, 83637432, 459198402, 603625459, 258971535, 630761552, 970187734, 527321746, 365494020, 733918007, 308258117, 734009071, 778429431, 12014057, 186514062, 725583125, 394943884, 217867877, 474452676, 263469773, 250529960, 292674429, 289687249, 679738115, 150613461, 368625358, 33003442, 735574277, 492849305, 454162183, 48136844, 4371965, 544373150, 716003200, 592434294, 63183668, 782378661, 725414139, 567652120, 232115047, 740148084, 403487557, 619676888, 730615864, 939285587, 197530959, 587042003, 838262736, 151800086, 14289903, 642463302, 463530836, 950221869, 145570441, 996360113, 328677931, 172397903, 928826428, 91587137, 297979301, 277607278, 753521859, 342383631, 938626557, 588628886, 101916003, 298733952, 68282356, 884058173, 485817497, 367986843, 739959333, 277126169, 888787363, 174333752, 34925415, 974236736, 76794443, 918920470, 709897863, 304182886, 68483033, 630101073, 809812377, 940734685, 860414016, 77694641, 378625376, 355881721, 265605966, 64749486, 337004580, 524362235, 625564337, 164346675, 515106828, 803993118, 197934412, 54995419, 683022256, 206880437, 835041626, 454029682, 506949697, 598457262, 976086854, 921621835, 96179571, 813874872, 577365678, 431277249, 685715191, 744997087, 350098437, 172845013, 47544411, 317611190, 5974481, 552147395, 11037920, 132029516, 466933954, 530725215, 488935504, 261884161, 704168525, 60335007, 617654229, 732349363, 568456682, 432175192, 995705108, 564072966, 212025999, 604679939, 384760633, 997688772, 148434460, 293091947, 593524792, 143536251, 239241407, 152661494, 614020038, 856863374, 829881544, 736535867, 783899201, 955855237, 702207271, 655825049, 520753353, 926574090, 280176440, 531859350, 286086230, 654475584, 108925227, 792545370, 637727042, 317626178, 156502094, 714038015, 65342031, 66841191, 273500717, 576685875, 720596377, 477820895, 829323791, 603374008, 280208250, 465470224, 148589809, 108101495, 458151974, 519594273, 395878909, 118099045, 403587185, 204743178, 486927114, 763652130, 885711955, 519770509, 560208862, 351411642, 197465968, 157133609, 774875748, 933544766, 560407189, 801458710, 567058611, 675270159, 383847808, 956854241, 259521614, 406870158, 240032454, 901915509, 186855231, 742415207, 242274657, 959096046, 163319765, 358314433, 666326910, 513017411, 902996236, 118670838, 868541127, 718845814, 746672526, 403102022, 953462348, 839495960, 484887845, 306432870, 33458487, 946875292, 767426018, 651187853, 343150103, 592775930, 668539598, 262499423, 675594229, 821618088, 718521791, 643885619, 979494966, 384834948, 37280488, 517518897, 678364595, 696510042, 567204766, 414636007, 95971199, 640314474, 163909760, 75157691, 819647921, 898139358, 166219609, 622435208, 745280484, 317724165, 940799410, 347193677, 970358612, 769580086, 236303693, 224150731, 655036487, 44546009, 906787027, 451671130, 59892617, 48158270, 641682973, 241697565, 230772827, 809411568, 344115059, 954647591, 712101651, 551684118, 484885139, 764602580, 273009365, 333154511, 895316888, 180479542, 907642959, 399382357, 14264731, 522972253, 323163690, 92836881, 112272943, 657092203, 37078900, 979732006, 772893034, 435270512, 305727027, 669889646, 244180559, 339480992, 458488757, 706890040, 378271219, 802857428, 373504048, 131667616, 248811784, 776539383, 155707458, 369297467, 102353910, 12623269, 93128455, 89277859, 719668570, 913208813, 715763139, 426726923, 93486747, 48746567, 420487773, 765083915, 224119101, 283081311, 429332490, 809151562, 281898991, 880144185, 924612960, 952121065, 74726899, 829716652, 778789659, 793964093, 171254422, 774102855, 577393938, 682956436, 799027767, 603598892, 177573240, 758988736, 521325569, 54389, 849558279, 197449240, 420979185, 165887442, 849243037, 237527000, 859656082, 910089065, 863794942, 896759802, 760187456, 654011007, 993779456, 598059163, 26507790, 644795228, 667628621, 311549812, 816461782, 352403635, 710193047, 497685921, 574177560, 597396727, 105352830, 416185177, 795305062, 532046064, 16386591, 308970338, 661315607, 869855683, 22679204, 783243325, 665726836, 531705740, 736616353, 703975601, 317780795, 577479503, 784640010, 820417412, 996619129, 882199668, 251582170, 562087017, 453168166, 721519090, 723145880, 108237235, 304425717, 191395458, 640004573, 279147704, 466600315, 521032995, 398900302, 713554274, 455031274, 776855083, 678663518, 290694425, 114628984, 849134681, 336675328, 223460308, 49041376, 197460514, 878894743, 332404458, 339203584, 525211902, 763597666, 875054302, 959423203, 65934989, 523206660, 141845340, 867678832, 498673377, 725942255, 836515788, 115916062, 382131722, 644446532, 632876276, 203766625, 962935389, 962220236, 966688176, 593527404, 390819871, 108088800, 496743056, 750822144, 221279839, 894481869, 35249478, 494028126, 553646521, 725808068, 920354045, 260775837, 40238087, 762364230, 823626928, 695093754, 257111848, 754302072, 903092103, 278847282, 261492149, 706305034, 64384447, 415599890, 489964780, 385578820, 502077636, 544454439, 188489711, 658064644, 925508908, 706734840, 702066896, 887652087, 759567181, 817073872, 333890654, 480372521, 560184335, 241038563, 505828954, 665410274, 65529703, 161240881, 266653379, 372967977, 875431530, 595388306, 377651150, 447866565, 739281355, 633080886, 342804302, 986351030, 942688445, 127442542, 400166688, 585304084, 680599574, 486762938, 391667817, 321583307, 483352859, 571439884, 584241766, 649268287, 429395153, 51794678, 542265211, 945413832, 904902134, 281462172, 484890554, 38395377, 364748628, 561334742, 408200372, 889195374, 709098769, 294450139, 358975487, 275056697, 971891006, 353310462, 124671601, 112814546, 456140527, 104303308, 425739669, 147135047, 477139169, 593925044, 242194032, 983539952, 486946373, 356899443, 769752231, 976414479, 910771061, 632830691, 473491463, 269780976, 976289778, 200893426, 683282992, 672589064, 223950925, 11640087, 492382120, 148314825, 607531069, 350657654, 153432165, 267094113, 562344199, 885440473, 276166685, 126421445, 261580745, 666655002, 591541935, 684107303, 643257950, 945082773, 933104692, 933371791, 720614531, 882262297, 206407461, 104484630, 979786002, 919310367, 511896064, 11748098, 81936213, 605635070, 747186390, 364945334, 469524071, 864482894, 315495222, 176562020, 930093507, 161325039, 206217924, 377675417, 470109905, 818798706, 104336754, 638882454, 656493156, 667900349, 25687976, 201224361, 79418487, 836143931, 508498048, 146246699, 584391717, 460967377, 124469255, 427630465, 816269711, 186593358, 246566863, 559486303, 76786236, 166829702, 946884055, 696079233, 34696455, 52132422, 70039888, 773753381, 49172643, 604762053, 253220718, 397475039, 827744120, 455108587, 855366273, 605804893, 916330276, 142935781, 952232776, 560329555, 150035019, 293113109, 886287915, 449949540, 925839963, 574000328, 632815240, 306829756, 489688347, 452002413, 743736095, 627621371, 195036209, 217037922, 499005168, 139305178, 357104653, 183192303, 371641002, 628039937, 295047460, 571351545, 990523662, 919858907, 964294919, 206288094, 66730432, 122647978, 500170464, 624977153, 282736544, 664983934, 286502504, 590334478, 278516021, 888109985, 96098053, 304400121, 136102395, 610488707, 453688400, 251444462, 566704393, 908359008, 506946819, 2257787, 700900168, 711989335, 719425519, 7931397, 459513159, 638369910, 241114997, 262075203, 885677533, 950965070, 329746411, 385962925, 954944053, 151182322, 384229648, 152818565, 57180014, 319773718, 954271419, 591295161, 564157843, 594541013, 554206642, 259994354, 911430988, 493183618, 782573227, 945209374, 477351983, 704177193, 250665392, 10559713, 306067112, 396035650, 701249776, 464281307, 149125797, 383507771, 863010023, 573291608, 786823945, 507371182, 622780976, 596507826, 950845201, 227578766, 219624222, 623862138, 742875465, 715080795, 325694419, 586663229, 873275077, 384253511, 51157628, 996224726, 156218192, 229264136, 927319871, 657320965, 947939591, 490983977, 75750410, 304226475, 447947763, 922115514, 205533897, 598818174, 387486209, 371532163, 10124250, 390433225, 387338278, 720179459, 15836137, 130445295, 730876362, 65982530, 84435624, 54590680, 193018195, 460313454, 106319035, 625228784, 964584018, 541630423, 613455411, 141847256, 218261746, 661431768, 660772375, 862777623, 399315836, 189780167, 548942527, 226970113, 171399455, 966947634, 91324846, 122473943, 781250239, 989269353, 218815265, 96070738, 936728380, 314779960, 223138827, 307584021, 637614595, 981865017, 331794996, 678018954, 295641257, 670632465, 738610102, 174574169, 689102608, 838296460, 813592969, 118159801, 872793884, 282987461, 319291009, 21502469, 575329341, 656790991, 560046448, 865771890, 389123451, 422414767, 908643669, 23465659, 732729752, 578628561, 187328349, 93293274, 20053715, 574948704, 516088591, 793043384, 174481858, 18138981, 411228430, 524286646, 126504775, 583971725, 905342870, 377521892, 731749259, 679715554, 563491876, 239516606, 286725474, 615856637, 535912757, 714708979, 247655396, 212612476, 567867789, 985710546, 112606043, 836339500, 997514108, 266323259, 74230628, 446751451, 388982212, 346822128, 770660671, 982483230, 139853014, 632674196, 60650318, 367871422, 879497744, 379374174, 382546892, 594819486, 435228617, 51537503, 439396286, 57256020, 89008227, 843515744, 318363193, 474492435, 131896424, 912131855, 747749147, 945906737, 118656015, 989575573, 997179946, 180468931, 955970975, 903056864, 722842822, 498700250, 214365046, 834690300, 971494045, 496538688, 364733654, 530372604, 776485011, 134644576, 533615789, 114758393, 999528264, 155735946, 213956323, 474869444, 379296547, 65529981, 830178955, 59923825, 91997235, 265115601, 881758341, 69423903, 229762867, 757860486, 600216247, 213650636, 400131606, 512941130, 805837567, 81718552, 880623625, 274694697, 282920001, 655538855, 71265667, 845777843, 892854262, 624819346, 477302298, 230694951, 969350493, 827270904, 276205153, 802411083, 991085412, 456646734, 324982879, 456189714, 317206809, 466288847, 400268751, 212253577, 343050869, 400932195, 705398329, 976319441, 791264660, 168262714, 192946904, 109616695, 632719563, 200706110, 99138534, 406998799, 171441699, 765191009, 486225529, 407462874, 217980801, 711128178, 503245453, 469165098, 144272784, 996487543, 729822420, 667486770, 148512858, 789622617, 455835192, 657137393, 734991280, 185701017, 705941069, 187830970, 180360398, 598354745, 451064261, 700783119, 361092623, 972895709, 997965812, 341682934, 367973170, 905859374, 243297516, 68690510, 944472193, 822783796, 53010150, 835431925, 486253801, 258733706, 713775306, 777991129, 238075331, 524759581, 302340492, 249336486, 893120949, 403329136, 546164352, 732347992, 647596174, 592691310, 682648666, 342978898, 389156178, 607327435, 964077807, 926942930, 299637281, 817641302, 451076456, 895881308, 552120364, 28886126, 978340406, 359030012, 981661011, 989898029, 972726182, 669074279, 154717489, 247358209, 1567095, 251198378, 670223341, 574941481, 587502321, 886343299, 91921573, 481174315, 470266789, 663662311, 968070692, 827371440, 696292628, 568309077, 75518081, 642404272, 436796959, 295805696, 92972978, 56714605, 660230133, 179324666, 996220499, 326722997, 350211631, 534500170, 110616770, 912320728, 160411527, 607991298, 24008878, 526905479, 778446400, 257996331, 408182380, 774175664, 129523174, 376770415, 340672401, 712849537, 725536276, 121066388, 423463461, 200964968, 260361605, 142261876, 377293696, 890954226, 339059984, 677080094, 726193229, 562734158, 736296318, 217662854, 852106637, 294273590, 629621607, 336352812, 836221174, 49353368, 928330660, 307674657, 342224512, 210979586, 639758196, 660725273, 363905666, 343532459, 532315034, 51468143, 947329737, 759470262, 122220562, 684312995, 425586645, 818749186, 318425101, 151887771, 82597482, 481367594, 180100183, 984139992, 476048124, 465774624, 311756521, 558460356, 571615523, 958471807, 920825316, 316367361, 870491944, 404793783, 134382417, 511229688, 558259997, 104014142, 290706140, 683649089, 68881791, 506410612, 475965870, 821249181, 490171788, 157720730, 188382793, 232289062, 941557039, 346983142, 188022483, 387241926, 305204029, 720996758, 792412612, 983709300, 213242014, 94889974, 163994387, 945325905, 642133418, 540175008, 303387835, 559224204, 268953632, 509234275, 270120043, 221635381, 438847358, 678932527, 838126012, 243506258, 43794464, 776269579, 266166422, 693811795, 378978879, 172645472, 169408809, 762929332, 771094798, 770866182, 986875297, 48933129, 855145245, 192563917, 852071237, 449620950, 550674318, 29758676, 986586796, 247717821, 5004583, 18086875, 835016681, 758011422, 513892748, 813296557, 671217022, 509817786, 382662034, 494828704, 721623705, 557036560, 715238622, 804173106, 532884614, 433303867, 37247159, 260098694, 720822637, 4392390, 405191129, 888177745, 381609400, 890698274, 152653467, 354137624, 850007133, 315993039, 754312586, 123516728, 415902041, 317092309, 123751014, 931638019, 973027623, 35425412, 421975578, 339647515, 333060999, 921437701, 454370103, 514224288, 620277896, 614708320, 264099489, 74559083, 58403566, 278336398, 805984663, 878337100, 222064315, 898014792, 71873259, 486926150, 394120279, 646943052, 822638107, 608911308, 321259759, 585105111, 108912146, 863250184, 34423217, 663775007, 880247622, 576577422, 71725923, 654879997, 444425178, 916336627, 523429723, 807323311, 317693028, 438821251, 236113337, 595507065, 538543853, 951227371, 909323957, 732788597, 249394477, 665420894, 555338614, 811380444, 668757089, 739278856, 274659300, 928878152, 844793511, 924048993, 591031272, 601890462, 336450193, 172469526, 809872767, 414479515, 116984280, 536484107, 412777791, 63443203, 143720746, 657918773, 434733980, 173582554, 833727106, 170311413, 423568308, 353902282, 368627321, 887295564, 168747502, 27597089, 949621007, 114308930, 364341486, 267931581, 238332638, 301369045, 210848559, 7204561, 426336978, 900702606, 463895372, 874456767, 1808154, 92128493, 153907722, 414643146, 993886985, 336218089, 622622149, 574944274, 476831135, 225553314, 636064631, 901478671, 932441965, 148513322, 276693944, 695842581, 331181188, 82804097, 846359493, 359842833, 964803664, 302289167, 463125434, 695428621, 475675462, 856901458, 268107925, 533634498, 496919658, 68756071, 607987817, 404532247, 428803354, 340891206, 597541204, 973460477, 435707904, 606207778, 62354152, 700574856, 994984486, 91119732, 337579548, 853811862, 194664538, 800822703, 837873409, 418191555, 308524054, 805641382, 649971975, 56058547, 994712455, 459967619, 408162655, 292282372, 524406554, 194093632, 138796626, 698005554, 54701274, 225626011, 805665144, 643020417, 996616831, 711271331, 833694280, 532682775, 820254764, 764309148, 734160205, 76739998, 144180889, 17061684, 552608786, 973876721, 691855726, 285838342, 210278856, 881594848, 808420601, 390147594, 318434390, 549425437, 786521963, 387332901, 617804340, 90556746, 16934989, 328635464, 288087360, 395497637, 115291885, 79644554, 177180205, 824063133, 776348546, 142966529, 57266687, 565862316, 98388696, 877453169, 316748887, 853832365, 562253547, 787985848, 988333849, 38611611, 719457005, 313440781, 246830379, 90410612, 867751382, 471449881, 197129739, 750390218, 573880508, 141955116, 468044047, 408756299, 939862562, 71042185, 982229035, 195632441, 647978488, 367100677, 565759614, 12149647, 972360395, 489315973, 460562189, 205338945, 236080501, 991768978, 388835129, 533452914, 175421574, 322620195, 670192688, 887466050, 675881634, 964272413, 139769490, 877619271, 918030149, 775752121, 727606156, 680489212, 334526212, 773386569, 163194271, 198453696, 831207914, 238036346, 458986615, 530758581, 40051236, 83802839, 759692055, 605274772, 779922898, 14816567, 239526214, 939153265, 123386377, 405302514, 48450935, 844585211, 496707034, 982354970, 645656689, 727163077, 957368776, 184273411, 855663945, 73759488, 972262008, 56399106, 666744847, 551528024, 773203407, 645536635, 976305586, 787466797, 198329086, 366458506, 912369721, 648748175, 810162237, 20770936, 857362559, 563333405, 635838840, 731464859, 127798218, 988776058, 278764253, 164853061, 794792429, 934410560, 858112786, 106344815, 12944883, 96970870, 844053229, 540290924, 654049225, 782655379, 68491279, 387132817, 678604063, 611069337, 419226644, 989075591, 900735416, 998007687, 213847245, 402137097, 482779016, 366724404, 422207436, 97362978, 805150462, 418630771, 422002970, 242366780, 213393403, 632461599, 811679276, 485947882, 163030813, 708161842, 404702953, 137359656, 538905387, 505013529, 556529353, 564792178, 163191280, 637630282, 104817617, 340622339, 807825892, 454025716, 572386899, 55533747, 15135584, 233438761, 702365210, 585062790, 408183380, 429712654, 501034318, 714456212, 37818011, 668438498, 729839940, 458483728, 676450485, 370197555, 779711623, 873381189, 249647304, 882525905, 87404187, 363591103, 547492629, 869718678, 230480690, 84370016, 889494105, 588548273, 335867460, 950675514, 186509953, 782419800, 830070978, 645422701, 381870221, 486413809, 241520057, 196715836, 946472728, 132343659, 808283780, 461310013, 58423391, 672398716, 228677875, 874841154, 222926594, 204812213, 470191151, 822482699, 466938122, 386662605, 719403737, 10019658, 811593303, 319290272, 175884145, 342302352, 497154088, 746825338, 545416993, 313202223, 495119654, 109031387, 715115255, 771770331, 700564287, 374454631, 216957814, 883318291, 137409098, 302176011, 262200195, 700602625, 177619610, 434798980, 829807714, 651703459, 680415371, 945931808, 444679827, 245568533, 737310817, 96798350, 198423492, 297448676, 785013481, 423594203, 460398744, 169220257, 232670425, 212057835, 640331314, 71155197, 829977434, 146082212, 663540970, 41530322, 965092379, 871364842, 954677707, 86025994, 184454184, 483913926, 61217277, 120802877, 323790721, 746861262, 538386074, 802896098, 50477979, 859908790, 452493309, 432006792, 183813844, 717833918, 937032458, 492071352, 638524265, 162567983, 518015488, 992163021, 476110775, 182320197, 198041722, 467858964, 307665964, 224214954, 479314979, 714378843, 189926771, 356355999, 939210931, 436985088, 988689696, 798467438, 140424887, 723285233, 57430619, 443918776, 413259592, 850802215, 401109379, 401966101, 210746460, 744051858, 468908025, 909130898, 269361972, 524330934, 239392636, 222601765, 594274990, 978154143, 463937512, 902748928, 568345797, 986269911, 759551437, 862872179, 921014787, 391001153, 244295444, 60054154, 57536832, 761477879, 999950259, 861366959, 975177410, 530573948, 903617857, 166680933, 82458450, 415247299, 566883257, 165801, 584193133, 610343579, 322956872, 183953895, 866578174, 966239445, 294854283, 431928608, 130814367, 581324267, 630346170, 157311480, 674185636, 536948984, 233675564, 850191416, 887907459, 598702181, 333865741, 145950979, 327227660, 154980713, 750401422, 285814142, 281660377, 240736940, 516058103, 368535165, 287268639, 207662910, 957106969, 363864838, 32743033, 422766766, 907095953, 722295275, 317800741, 415315369, 951050076, 446422553, 316338188, 530843702, 937367661, 306940406, 13605024, 859731505, 79517406, 160262395, 38966296, 248378390, 977379237, 661750454, 62270266, 826663391, 746922682, 715720637, 428163407, 676925386, 349496208, 514822916, 871328685, 579445949, 351352009, 62870808, 935849362, 577271074, 726479865, 875948936, 429930801, 900077986, 687584396, 237184088, 899405602, 553126069, 289344494, 82372007, 672401865, 52499822, 458191831, 631281497, 533631641, 60903350, 280805548, 291629434, 330719837, 291666842, 685611336, 47720339, 215148617, 539476427, 62866834, 73368946, 323304464, 574095154, 272689952, 790158135, 692139774, 112268124, 306323259, 271301793, 526967500, 271379567, 247999442, 4310199, 602436379, 485283794, 321051955, 712579788, 568946043, 352965662, 184457963, 510721099, 112387897, 386142754, 121268352, 993478869, 581434590, 557215616, 889566030, 369440148, 743045533, 830107369, 490319283, 804840910, 6419180, 959945396, 190614911, 444278912, 424589218, 977907001, 854525719, 610694612, 681362815, 368200300, 684828514, 450942926, 514029875, 913849655, 851306301, 673317426, 559407571, 638727600, 385822892, 104721048, 475832743, 405816550, 803070000, 603927207, 635092947, 343478431, 665162793, 756201078, 54799913, 998138231, 743075914, 730375930, 814393170, 728232261, 62044653, 749501841, 415427038, 513028142, 249417179, 407489793, 8834419, 763455232, 575579214, 336172053, 664149160, 552764934, 368989298, 869381235, 245760504, 559601798, 459411092, 128521566, 105948064, 822503862, 28182710, 425804549, 296216902, 783985669, 738287529, 245216367, 205671521, 219292492, 417375923, 88060995, 221789467, 103643152, 97007674, 946405, 547224805, 375118476, 106191758, 19985374, 728029622, 798077597, 598195072, 932201935, 741122904, 387694757, 677287916, 195375494, 874040994, 454154459, 32085124, 349686963, 164908756, 814292456, 592063801, 788139179, 537873054, 827359417, 801913924, 597757325, 48010650, 837545334, 819126990, 855957844, 85007013, 572464285, 548926678, 725367000, 116115369, 512413926, 342314126, 968581504, 52547535, 772240546, 383799947, 585911059, 282867863, 700287741, 549921260, 532655537, 138258764, 432791725, 357752860, 940644567, 704421017, 168261924, 605897316, 432426039, 374132771, 610045010, 447019469, 243162073, 975979616, 97008845, 719608588, 353366225, 787500224, 593440073, 47629185, 434626138, 512744854, 251118508, 623122670, 11094260, 169645830, 528048638, 566621041, 381884160, 773486573, 94360158, 82760880, 463204505, 422480116, 167581376, 783857268, 661271465, 909522961, 659253075, 326023500, 371004541, 262730988, 680953610, 432595175, 231244248, 546215018, 84259289, 504556555, 219654290, 195501912, 307052632, 418356154, 329362376, 669865795, 439812306, 860016622, 74360913, 332152235, 807622082, 443082613, 508234766, 528623685, 402633623, 740506255, 852911932, 867133523, 163157266, 736508791, 708896062, 803882785, 272961421, 643298792, 748868096, 319073360, 454788453, 682479981, 957887577, 596018191, 905769375, 434845080, 962708802, 377896464, 63166324, 331744668, 109860589, 779815618, 372429780, 910941329, 945187623, 53099201, 41645261, 579844663, 248498587, 35411060, 771965983, 250289077, 425512707, 931649263, 890365559, 782715791, 10368292, 380281668, 586461314, 880299475, 246702094, 378895698, 441890601, 615160867, 785072999, 167198517, 681651389, 502261139, 30492505, 524230436, 913121407, 772694165, 657502740, 940222153, 698531638, 46485602, 252280180, 324826643, 931927926, 78078388, 70692540, 143551684, 525801083, 954362043, 359272479, 744807174, 641495624, 876453513, 543179161, 153134709, 12259712, 968845964, 597240007, 31447396, 409096573, 944256961, 877583951, 550958411, 722863008, 851332097, 224362744, 252506815, 403259766, 652995660, 435785420, 259996738, 31630275, 243228613, 806375772, 558952114, 972753138, 231295310, 113272882, 604453865, 98227579, 674278659, 813750494, 413117764, 859130011, 3094164, 700511972, 918203760, 254260806, 225253062, 388047763, 603269028, 990381164, 877610281, 509735984, 430443935, 431244873, 590767225, 713929682, 422487228, 491005288, 566600838, 833917760, 247484487, 532852586, 108413801, 796282761, 895608902, 178139895, 332713512, 396607835, 479071664, 737810377, 230357708, 860724198, 374069142, 683885075, 736271585, 742340049, 765103134, 490733760, 107248094, 752467299, 182445563, 283010196, 11062589, 506855704, 590475623, 290446001, 823104265, 751959050, 311126747, 702020617, 681859438, 30558111, 105667063, 927741330, 111720908, 818645528, 134266315, 384625240, 677050185, 189406663, 201602163, 105957159, 986615719, 154010121, 302506315, 307468237, 812304523, 336152959, 601709125, 369094842, 96879803, 830015342, 106907980, 848035832, 295227574, 347856849, 77376250, 561500158, 931648827, 246873453, 291259566, 428365077, 324972831, 285458643, 50159839, 191645091, 143728999, 778599734, 588716423, 443187210, 599923028, 992771172, 349106695, 404138926, 368557161, 688753223, 26034686, 701430935, 862852355, 972599532, 422698371, 192374540, 573769308, 325972876, 813485907, 851640889, 635276925, 502404213, 96179126, 456985364, 551501026, 601050839, 69426017, 667030460, 89824047, 667102356, 120093951, 870892374, 726981505, 108139288, 136729659, 889892456, 244753859, 987401415, 853379828, 974191889, 800906583, 134679303, 421788470, 867918010, 143563227, 964397993, 565126020, 226026569, 62692353, 104691804, 805197861, 173075132, 97404202, 829426454, 50324380, 918363521, 310504710, 509605502, 350244463, 951401051, 376989234, 518184902, 303172756, 495588178, 361007044, 24635485, 294855537, 639718699, 967944739, 976231398, 628763772, 213951682, 67461587, 649856532, 799086632, 716188892, 606553555, 235114409, 867987903, 264412700, 550362495, 510639510, 863680262, 233822549, 388386883, 420317888, 787391491, 928913176, 514811533, 654051267, 413908611, 527521048, 252867047, 861700693, 35599428, 988081535, 756954055, 611533857, 353887235, 564100042, 485056490, 591079944, 7488448, 858550074, 772857673, 241404324, 576037379, 671266486, 261450768, 380180467, 707952724, 44254078, 568914479, 982957896, 274160953, 925263072, 90424024, 562462113, 600363674, 59281989, 149189899, 113649739, 114946011, 887845366, 942669589, 312934106, 541110202, 456583701, 379685084, 160441356, 237412712, 180052990, 991433915, 252223453, 770942710, 953963047, 444569309, 394568426, 56514351, 344954175, 499818526, 147024029, 188856377, 565284449, 433806778, 676122119, 872126020, 483218092, 206931404, 357612144, 239681416, 782030071, 582677173, 782489823, 799898864, 200420270, 191167074, 302929200, 13508807, 536523068, 896911056, 479245690, 299601953, 110864590, 678443411, 728343594, 213045007, 340473408, 298365386, 135715419, 223447964, 282418027, 704213012, 218754678, 811914173, 651968236, 867149977, 78036033, 959634982, 375879259, 681801680, 699468176, 349579714, 283253986, 497982948, 292378715, 380733629, 536251555, 828774089, 41097237, 111292987, 559373928, 70406845, 158131274, 524111767, 31941572, 174423976, 274804747, 151276996, 395139115, 869010220, 151647672, 189547143, 480510360, 867878088, 962238125, 29103961, 658988924, 178611180, 360128378, 444676885, 148703598, 300236085, 957832620, 412576911, 626520094, 797871906, 405118863, 453891060, 488281388, 498404409, 743210762, 459379063, 21916561, 483794779, 233305318, 678633939, 971440356, 984905924, 690037836, 69224950, 351413268, 604690700, 398599242, 106068461, 482059240, 579282034, 807349159, 7362140, 679296297, 901627025, 66161952, 500198323, 582569585, 851237895, 666396035, 871355894, 248644389, 100185132, 283526771, 832099900, 424143063, 230260260, 724009961, 976142116, 274933527, 954529713, 521582576, 595681626, 79439440, 585208603, 394282014, 26915106, 283855753, 387608944, 52402357, 483491500, 518832740, 686299637, 610949725, 91868083, 489845622, 111425070, 516378689, 303075289, 199102939, 12716760, 947414396, 890441873, 491342929, 718441104, 13613602, 268558954, 223343842, 594275398, 275874225, 560524867, 682620926, 304430968, 321573489, 127376203, 95283016, 543026665, 394584916, 978809985, 631421061, 744216506, 975696451, 848393873, 969476195, 430417725, 600848444, 297716251, 871415526, 568144481, 544544993, 130774489, 169340200, 27784490, 94244094, 887330586, 256467142, 793709155, 615068257, 518484366, 195164923, 187728695, 538328592, 386249009, 632218824, 154085776, 696731548, 446853727, 157284584, 59664445, 456769260, 33467294, 8134763, 579133049, 771838356, 999125855, 33180418, 567762676, 415230602, 534411830, 329789307, 323840712, 439776468, 36135493, 924663349, 40237295, 651759500, 186686129, 5859494, 841522649, 486869804, 330183205, 252128448, 219337107, 650205142, 155080169, 449912497, 605410196, 183023867, 266334854, 754687107, 617556850, 503699120, 573580158, 448547684, 167200757, 795629199, 383040004, 165807453, 322767276, 426624352, 309741672, 915632670, 653962559, 309835615, 625860991, 261881652, 685311721, 670236104, 422976723, 970224587, 665776583, 378479495, 283769222, 526648452, 304356747, 95099547, 735483291, 481510622, 225044746, 22449856, 639091996, 324694637, 986616893, 401462979, 794686388, 504208634, 128313269, 234617362, 512561470, 262606860, 699238481, 589454310, 654586686, 711344197, 604766517, 515605241, 913431003, 467625107, 721522378, 854529151, 452467351, 695810422, 92826777, 888559728, 391763995, 679312867, 738018492, 652047638, 494374661, 566200043, 983753820, 748295216, 926959528, 527881778, 662185194, 504953369, 927031371, 679263469, 67822409, 923337735, 770184721, 466522329, 955269672, 448142536, 530382572, 595726765, 646767702, 381910356, 301590949, 788378854, 200689880, 798988118, 604078480, 499238874, 79103449, 74586534, 38260451, 447934820, 964733949, 503133409, 155259969, 431236182, 73670836, 235958999, 300958992, 325503025, 90694630, 47754827, 276215982, 65496606, 14738333, 570963709, 124708353, 599634703, 493573360, 256037880, 939230502, 488578050, 151313999, 880379235, 919441769, 3910909, 970598464, 442881139, 121056434, 446195333, 962045360, 169610698, 676329764, 67675944, 503986522, 258149920, 941413137, 832453943, 181903759, 991119510, 351916838, 253260870, 208551606, 732327269, 218828594, 249363392, 547597227, 557113148, 980508161, 267275594, 916714265, 137356924, 627119829, 137458419, 472368566, 160199259, 759742708, 247822677, 945952695, 327604062, 82137680, 705136950, 755533808, 646485035, 389527410, 946900939, 450870082, 403031267, 317564199, 445860142, 434063437, 447922794, 388057478, 318665589, 641170231, 75425619, 918536352, 248323417, 587065077, 941526476, 618107024, 537306087, 878909894, 514382603, 261058736, 152633683, 565655159, 383019115, 403529583, 319349417, 231704298, 569401610, 483841004, 589404682, 923000532, 747243516, 242683865, 272718847, 334320714, 616497255, 922421868, 662758242, 474953226, 401788580, 176989543, 836627602, 855800690, 412280930, 667716402, 952230068, 501357166, 339610696, 576477753, 220462838, 875406870, 713634432, 38025135, 155186518, 107005045, 447178699, 820697383, 875844343, 995582121, 673836818, 821133860, 390911629, 218390267, 187598631, 509515014, 900717977, 928611831, 868490977, 466379996, 337163581, 843362162, 435637787, 472794434, 283116222, 613086290, 651054712, 701348621, 861604014, 734512669, 282061580, 577444592, 293503211, 468482893, 364729149, 392662118, 623948258, 46455521, 651182072, 991867625, 682062868, 876781970, 273658458, 45448422, 824761474, 643057457, 608444358, 743625706, 386514843, 720593676, 441037089, 152548801, 364608114, 869691, 247386823, 286796381, 541902242, 558160211, 898582961, 847306280, 489382302, 714606110, 853433458, 877617333, 988949306, 663594240, 480214018, 713648496, 620813608, 459155124, 742118271, 103832884, 376061463, 4915750, 665612771, 97207552, 417886128, 134338274, 475428382, 73608071, 735521452, 241663428, 462161644, 103177277, 566354564, 451900567, 87749221, 105981094, 702345569, 141824179, 175115134, 931320465, 611912525, 88789578, 165234443, 768738451, 905989656, 111456350, 777538523, 309730680, 308330795, 379026751, 932578725, 910335919, 625817232, 598606493, 71788901, 464978102, 711022637, 534482620, 635806559, 705584519, 823449810, 588846434, 69565655, 274281303, 17768884, 698588528, 190263584, 823300283, 235142147, 378820305, 858139810, 940065141, 486405933, 268668095, 973646968, 146312986, 620440452, 25709842, 256542819, 903786187, 956748457, 433417515, 747024625, 532157355, 886561729, 550287627, 884423739, 468564473, 40824135, 654600518, 30354327, 32264664, 299463565, 420349838, 584390039, 926058296, 483315897, 359292871, 88737691, 820885183, 399326998, 609104707, 281668450, 509585438, 896475554, 46825493, 468175916, 93146429, 75149704, 663945520, 844992600, 747199150, 381976042, 567887089, 790146181, 499682098, 188354601, 368394039, 461814082, 618525622, 208568799, 634902128, 842504461, 631065971, 328232174, 787092377, 762373467, 738156109, 610773471, 847517091, 823071944, 812936080, 985907183, 874637884, 409199912, 6778537, 639827695, 15414877, 490871172, 440502471, 459501128, 703075592, 951217217, 435403924, 680905235, 52572693, 811611071, 384472809, 552480571, 419707062, 864430119, 267693063, 33125960, 23424146, 79183057, 971115026, 67647480, 428309109, 846555598, 889238181, 338857109, 988031387, 726461916, 575892930, 550148611, 156133494, 686994614, 959336912, 265870310, 471241316, 766481714, 738318595, 489724425, 558965445, 406224990, 675731134, 584984429, 532072331, 456677628, 543944643, 207642517, 481843579, 766686819, 62673231, 684746266, 296614473, 987936672, 19519947, 157030240, 305477145, 690719276, 650432460, 999877674, 449013119, 711616514, 738457598, 582792279, 161408407, 921045761, 700203709, 113771659, 912181014, 660629709, 180668993, 34831689, 733854275, 220090215, 379314949, 529604791, 454984012, 380711321, 273495668, 853109795, 458562207, 444750756, 581879175, 151301155, 403012540, 936429416, 859800328, 517159323, 969294440, 748569252, 46502979, 655932216, 400917819, 247759804, 585079863, 885366759, 325462567, 629681970, 537328364, 862317211, 708162533, 873574985, 600419684, 568432517, 816089667, 855717697, 756100362, 382269211, 415798304, 505172088, 678463704, 826181259, 168654032, 283228072, 678106381, 978914852, 230076371, 505058053, 434198823, 492078513, 824859141, 499215027, 557034704, 855729777, 592654519, 963416576, 866329149, 781467615, 198456441, 297385850, 572084703, 578073592, 545800232, 763320005, 728353116, 647863503, 485365707, 565388682, 837752668, 904290666, 291597032, 506093193, 929407324, 412268093, 669021757, 728326381, 369543892, 659123072, 794111656, 550725265, 145324131, 895969177, 666036436, 137411881, 960174420, 489544997, 499370634, 332541091, 446995581, 586162909, 943801876, 612369162, 675278068, 947459680, 730978686, 823701539, 860368525, 624502675, 285808357, 194205621, 263041954, 34235256, 66196927, 300211725, 145089385, 150906829, 381059146, 318695029, 137424165, 784538743, 98258913, 739126686, 986631644, 473616305, 837142890, 779861176, 904128869, 324858944, 765990009, 753193367, 234404703, 2018552, 891090340, 49318523, 719988975, 14791816, 951676131, 599780206, 222436151, 266653993, 641223270, 320173432, 584031640, 444357784, 298383769, 780372614, 342652106, 555327977, 131851970, 175194347, 741304901, 251582985, 342156324, 345796243, 605906087, 352421040, 230253366, 993235257, 1969693, 281474188, 111016296, 824690716, 894944977, 482038080, 636320156, 790578990, 502396837, 523840788, 349748619, 972128524, 701054830, 337786421, 875171484, 822916241, 286921120, 561846284, 613580799, 484573305, 993610851, 872196940, 333242067, 349937096, 849906783, 49908089, 743533372, 658266306, 386639072, 586011970, 842935939, 342371414, 393986007, 575207498, 168604948, 214304006, 907795244, 248420370, 363625364, 827514166, 221096498, 966836689, 971929622, 418585743, 706739447, 425853724, 900128790, 900733193, 30543942, 734187883, 394415880, 544856894, 569566671, 103290435, 70580858, 59711808, 710032977, 249851645, 337334402, 461705316, 92329528, 366911765, 334796049, 567192930, 791923255, 720232864, 343679461, 262185886, 554970574, 254142664, 913079752, 814761387, 888735188, 520983618, 455389107, 431755676, 798174929, 259893423, 64405313, 7243084, 925615955, 842598743, 902785203, 846361742, 122749378, 180632462, 708810233, 812366622, 233173292, 131033349, 112196428, 304306776, 645307287, 570759260, 60834827, 116662236, 899219934, 757525569, 766719924, 588649303, 570844993, 51002503, 604170753, 591132281, 378547274, 146049476, 183819447, 913955497, 550078327, 559529384, 24905873, 647073766, 198415512, 719343295, 508295435, 400409892, 760265724, 94184038, 539214553, 991847031, 485747217, 399102641, 664971753, 991477592, 108275119, 561147043, 562040342, 621779645, 785938050, 739144722, 615225248, 994805428, 394487930, 894037259, 923682240, 43004805, 369479471, 919077148, 639980054, 626703243, 454692327, 976087245, 707307036, 400626082, 124955200, 851810788, 669003450, 810519571, 883995293, 213845740, 236095867, 179602456, 855296527, 455118220, 510528471, 35108972, 843937697, 329008005, 971054715, 737705562, 348582493, 693737258, 603275003, 902089194, 103543926, 777539873, 153241748, 956580036, 761807478, 539430966, 480418983, 65363229, 460487854, 40743548, 454671158, 972206433, 908974449, 322315503, 110268610, 686926985, 177133879, 335037877, 161075744, 474092329, 754030143, 801772724, 817148787, 674611573, 758240652, 461913824, 821388309, 787212142, 118920323, 698116007, 704100039, 136795407, 366183003, 985541015, 497120673, 343162110, 58858634, 328193124, 59333140, 505457807, 370925360, 887102724, 590207630, 995904364, 978227184, 128533219, 361116492, 927416478, 287046958, 334598404, 826567560, 766380956, 387399293, 610040213, 67889025, 500279753, 221039914, 761947924, 290590030, 357294274, 762258931, 463085570, 104944345, 53891189, 816753000, 652028847, 76693454, 807361377, 774642291, 386368608, 429808163, 305491914, 612238657, 860079063, 157182675, 766764369, 164551872, 798878302, 7676265, 427862487, 418784890, 696961656, 986449456, 628464644, 606692017, 863966009, 213796025, 350494043, 754629315, 457740603, 465408182, 155366244, 434162926, 166266940, 544697861, 455817159, 745621596, 116214986, 407037763, 37510297, 659103718, 947206768, 380146779, 178441882, 588810473, 910702477, 742100513, 506398900, 78948914, 148915085, 586726661, 94511150, 89416212, 669066166, 176452143, 814622632, 610142321, 143581589, 806938583, 106132945, 575441670, 810768819, 940699304, 279715288, 210603555, 655719558, 623234413, 531189354, 679465713, 962245112, 117956501, 42536699, 10175078, 441359588, 260534326, 73271918, 9934085, 726983284, 493505781, 694158561, 39742021, 404208445, 778428736, 197940120, 568628378, 127094494, 117983659, 159874068, 796861743, 186406357, 463133716, 413252565, 65007814, 676083694, 356659794, 551966221, 15387105, 567542672, 477316217, 520316086, 964023870, 331846008, 960616796, 994028705, 656053807, 143840958, 710032805, 859406265, 266078336, 87538504, 713379627, 851373517, 12465574, 578822303, 534153334, 743297876, 678474482, 574120829, 351800460, 306688009, 840029909, 325463859, 795813923, 766224438, 453029252, 784640243, 102097305, 667580443, 964021748, 703999087, 846300429, 800326353, 450701585, 234612325, 138453683, 528583114, 410123543, 435580382, 20901999, 167906042, 282080030, 474304373, 247547544, 115326016, 26372501, 651823049, 414152575, 808294514, 839236603, 51990413, 947148583, 268282871, 172462538, 715353239, 87015120, 623803143, 398092712, 768985006, 63174591, 598850834, 920479944, 390740505, 476732193, 168503448, 76253371, 434259097, 308079295, 380666113, 671126536, 120376766, 778453294, 758731887, 719045564, 802583270, 171667173, 91649316, 112540254, 921161700, 419910330, 965984748, 703849834, 402194578, 319564218, 833790073, 862772637, 13973749, 295506953, 560192226, 241845300, 459016554, 284424176, 495322860, 908548077, 453250224, 549830587, 101519816, 316306680, 4297274, 477591933, 929962688, 687356969, 704176315, 570802613, 192540473, 876244597, 2352570, 161476919, 849719649, 326532826, 914425547, 304260255, 705752182, 191928536, 818243490, 48026838, 751112307, 727240325, 14192232, 305402925, 698844691, 499796875, 761261339, 92939287, 322481627, 393009167, 554761352, 363499340, 938467278, 213523609, 408615979, 969704197, 999792740, 871268387, 960925764, 965551046, 744832839, 489557826, 597085985, 474378523, 880102871, 909535741, 599457438, 692812284, 346285099, 623217380, 501353328, 56899865, 636911947, 738219084, 70134573, 527461049, 106559068, 810111463, 208249045, 924396426, 561698898, 684186001, 462551659, 626727259, 601653983, 961752476, 194549712, 404788333, 383369236, 741701702, 123955592, 179934961, 273323873, 262253410, 370068399, 589383282, 118500823, 225341612, 114207638, 324748608, 353578569, 400723274, 485376116, 155237963, 416915063, 801437726, 926540916, 873433287, 980821313, 32012835, 409561044, 126219618, 130251090, 231497075, 775502207, 48683846, 676215637, 20165694, 109965397, 983224952, 930484600, 736322146, 908251788, 933599195, 357570996, 193187040, 981127519, 279774120, 24542801, 418039497, 599573216, 281940477, 445646172, 288693840, 98193540, 599139456, 37471004, 644669251, 807518813, 63138917, 582451650, 767067766, 783088986, 33248852, 244162103, 774330124, 995667619, 578111063, 345500715, 184658013, 566535159, 999106421, 746817361, 289654502, 950468044, 439475067, 746402749, 298074927, 590414146, 190468335, 541570670, 847385340, 590407191, 670118320, 434966136, 430797375, 764314557, 569495540, 139367547, 116201815, 626245134, 309618198, 130055973, 100416415, 573457213, 678091931, 244142167, 324520935, 755759385, 641620088, 548111354, 789034994, 288527047, 695926502, 739586343, 820328226, 933287844, 20797880, 335199579, 380319210, 435632491, 944033827, 564667116, 460531104, 44054348, 527896444, 7651123, 65919309, 813049872, 516541406, 741169518, 387004322, 565924865, 680072669, 399151257, 716301105, 166297630, 954483141, 755689683, 880992351, 830736318, 582944143, 830408622, 349102087, 938381719, 305397575, 579727518, 75458779, 601566722, 969806471, 468843697, 959576032, 362248172, 937378584, 7807180, 732124825, 729049850, 220189016, 559158857, 139651929, 1463412, 63171720, 285623426, 604091081, 56228109, 916158069, 315683725, 431421794, 381203992, 695736713, 423822025, 179242122, 814611460, 32896558, 509381281, 485614243, 834665169, 404153196, 117447196, 280830851, 84815114, 155386312, 1329059, 367109128, 866577119, 136010953, 843735615, 649702963, 636104388, 790151515, 513602221, 39418187, 907639117, 943447839, 931904679, 459274839, 597337805, 362097618, 525459536, 95379158, 312513417, 321117234, 767943294, 253133714, 667804728, 700176654, 324244555, 70142379, 228916152, 887835813, 895075926, 482060838, 398579272, 991435210, 637972955, 546930296, 92598921, 367636733, 899317402, 139931578, 191792528, 622050078, 472161889, 12990656, 782876033, 867037140, 64108588, 788425697, 284655044, 339114067, 973071478, 841539100, 363056050, 70597670, 359364937, 494640469, 546357925, 579039900, 240903677, 93629298, 640438653, 441368826, 901699704, 600858681, 808182921, 556126971, 823332898, 407742352, 495276847, 336011469, 814144096, 489300362, 994186836, 123258915, 754640406, 673725403, 536401347, 392476048, 492359725, 842458229, 428737161, 403418619, 134564446, 747843565, 774234013, 905143115, 509512978, 27540945, 402786805, 699152761, 189284580, 280401553, 613188750, 746867896, 751684378, 588480054, 199861508, 256800902, 595750656, 749939986, 35376617, 309394126, 299074763, 112880695, 120490986, 21072336, 679537329, 950081033, 379636076, 187372636, 412874225, 637481275, 717934761, 322908379, 531009794, 241289814, 621709486, 624372339, 571733658, 482766056, 310218859, 23866849, 76783484, 324268685, 644079303, 354946735, 678367543, 559769159, 978098509, 658309176, 736161886, 399717784, 370905484, 166566210, 858575674, 148885655, 737161300, 902104899, 61635611, 917081504, 436469173, 585869534, 719837919, 549464893, 829727570, 995533162, 541997907, 262144445, 547275155, 886195719, 957193337, 293479774, 479676865, 696098435, 959507792, 848520788, 440126476, 24473989, 120738889, 944157022, 285504747, 377028055, 194837927, 198891834, 872631411, 827040694, 14375858, 942532076, 659457233, 224378233, 499869537, 177114504, 978257617, 401684550, 429446992, 169546692, 269008166, 70767055, 470591578, 900298047, 135460987, 896423477, 284015191, 273262409, 517269787, 908210616, 940902190, 881078390, 85810042, 152864765, 314285346, 535486758, 733577043, 911357131, 358407621, 470238691, 624161928, 867739423, 701486904, 660337017, 418806455, 567425082, 529003838, 380512038, 693293983, 925608375, 512643488, 777674221, 950965174, 872827677, 243168775, 170114437, 734220766, 234947022, 260363344, 186253978, 282406891, 138494753, 811380047, 341470523, 344712208, 575150361, 882071547, 696314909, 960055551, 954436743, 614902137, 770152008, 906808679, 376065057, 477866428, 164279933, 339858387, 27691811, 90944574, 581132438, 304106063, 468235382, 240100618, 769105562, 981533962, 447615421, 88733927, 672034535, 116989791, 971859441, 808556584, 53640331, 574280584, 755610974, 840111086, 200862065, 678605080, 265399357, 938896489, 125408770, 667150480, 531751640, 135611975, 865790609, 484354978, 969106335, 762215342, 257085675, 11285334, 997304190, 576683819, 345234604, 615205268, 413720835, 808213612, 254999251, 521958774, 568185130, 92450161, 896903685, 372989939, 314453410, 128946272, 682811172, 927013764, 535038161, 743948205, 315857009, 23522915, 495408157, 382101413, 229315293, 667522338, 431301704, 907099926, 750818505, 907662608, 563437251, 606436150, 106906060, 268092662, 513804138, 193586474, 868146365, 680632439, 606411606, 394903405, 29973001, 332338915, 841426986, 141387984, 285691568, 811860049, 806602229, 578777525, 95815635, 161227109, 781428350, 854231576, 23801469, 864543917, 660887189, 451422782, 447030518, 910119326, 917932506, 475366017, 935026767, 913608001, 914595264, 449377033, 335530279, 341705115, 780979229, 350318685, 607278383, 698400202, 183352745, 146902547, 209548942, 610663784, 79801766, 538978216, 653239336, 107219187, 545020881, 224076956, 695982056, 87742618, 94365928, 634077828, 320742547, 550941190, 469387268, 434859837, 940940804, 678957866, 292955728, 329439289, 94333042, 278345457, 858243016, 74726194, 707721520, 460110807, 217500722, 697201353, 795924739, 135379576, 792132830, 53506081, 706117293, 751706013, 13821647, 268379239, 773264196, 572233715, 345962374, 716098664, 72810058, 115219508, 179713996, 690826061, 126084203, 382374368, 882749945, 37956358, 564365236, 614338288, 613764357, 870679107, 12376425, 168434382, 794883417, 488056334, 862867100, 483242104, 798763634, 721936784, 652827822, 511234568, 991313962, 79140652, 163227445, 689075505, 917194787, 117585392, 375780557, 420134621, 995608505, 798731199, 680162805, 614884880, 350354175, 181150062, 163607923, 917382585, 176456828, 89327578, 521373805, 549586811, 216272104, 135100940, 947323154, 867350206, 41188893, 573046386, 946791505, 737285722, 851727591, 689375699, 534315589, 611844035, 446036068, 452111465, 521643701, 65655139, 182732508, 608619692, 884164679, 897328400, 939740721, 640284550, 129663799, 346629938, 161006562, 123514654, 73507542, 249804843, 579365570, 509414053, 479731659, 382623671, 549406959, 690637795, 936974505, 518249911, 702440353, 241327875, 94487395, 659213063, 364141193, 243045103, 578343799, 90598353, 693862614, 983711303, 879863798, 390540956, 776748405, 674755168, 874775359, 22358214, 383571817, 834573462, 202108645, 81895939, 415855937, 761978991, 357768787, 332015400, 133849785, 785665519, 915741652, 675535506, 679326274, 643261894, 799176595, 358801654, 254640771, 283314552, 138850237, 471569068, 366538759, 985425824, 768587513, 610910698, 199488999, 353683990, 333592392, 290093053, 347299647, 469809681, 289830084, 162542430, 722732867, 628682119, 775480858, 349673218, 737763604, 831456733, 120341430, 215910959, 437991797, 485179003, 189904315, 993488642, 36042255, 812412062, 687118595, 8529421, 768249810, 93681710, 450102893, 220249566, 561932576, 169299630, 947933781, 335971708, 580505579, 550004833, 888462212, 359737857, 64376312, 469536041, 384547572, 107557034, 42644741, 297017776, 413152195, 78478474, 952214320, 477744252, 813747780, 132255987, 161829348, 51395914, 901969386, 192423700, 735070215, 314285496, 698468829, 465062496, 861228192, 338475080, 855228061, 7736550, 934883368, 508063109, 58713890, 191762703, 874026144, 670369127, 949152258, 100652616, 70548221, 310182480, 157702151, 999901689, 548105805, 859470440, 579517283, 358825649, 405116740, 626337972, 757382508, 144011680, 165795269, 802556541, 340161889, 348015914, 682784533, 828490878, 428968986, 418113468, 637393553, 725411757, 13548659, 362002690, 429139847, 348425250, 636322451, 582945143, 897321660, 529631104, 336098411, 496137528, 164900465, 423320754, 477961501, 44668908, 907418977, 728521159, 770626710, 920403638, 464417063, 508792848, 949424450, 99488635, 512629612, 240454553, 138726665, 226789679, 800938679, 488849372, 842984090, 44553005, 810902200, 732552831, 418376353, 436075160, 551854637, 503048867, 781633304, 993667788, 780584657, 784130396, 971831539, 35883327, 838669367, 951033573, 425174345, 203787818, 272580377, 835152899, 659034237, 36823633, 641793367, 632956764, 823884054, 746580290, 998096688, 911347749, 180845138, 200892512, 698676843, 260582752, 781079496, 590866381, 847850621, 196339713, 235713193, 757107442, 37552046, 167733476, 611061364, 994160845, 114415537, 84032915, 510959365, 280434308, 708916667, 161522109, 626460847, 85718917, 488828165, 808300872, 689398226, 410369573, 533763623, 170665233, 189016958, 729258720, 601032042, 750293129, 61096412, 917156571, 605066142, 85245862, 319848822, 321989965, 398103189, 162872728, 809066465, 757736168, 747591753, 389342377, 731672491, 578597716, 822517095, 549043907, 921753308, 443769688, 974365820, 390535126, 926832445, 120005023, 198612333, 525325127, 21124145, 345706697, 9949073, 402937373, 766685574, 388561793, 205766771, 447559887, 713710589, 84994391, 228434413, 253076567, 791207126, 552949391, 470286388, 239810609, 195885326, 197262441, 360996238, 803692993, 309023825, 693184435, 514528489, 827644232, 521273537, 157062220, 296252043, 822305091, 93250131, 403128828, 68675526, 769506427, 430238302, 794917917, 865151044, 953878432, 829424565, 806377546, 587299019, 966406670, 825700067, 264091256, 669930195, 398745721, 953747710, 157996010, 636403663, 838793796, 413445528, 687120921, 347176692, 792674522, 497887644, 556105482, 693861498, 513225677, 528589901, 860579475, 818839821, 487675286, 641146471, 158289303, 299790514, 393753590, 360355601, 466599199, 189591000, 535342059, 257048285, 159358611, 303460437, 367009393, 107551280, 421802038, 297118767, 152328438, 256688902, 914518734, 293475987, 869694362, 925004238, 766442796, 965016738, 848633193, 81050153, 300223426, 723891521, 322205414, 30423389, 758738292, 736517899, 452398732, 928965970, 858472706, 196618652, 247368082, 503402430, 698541649, 531774140, 938504533, 258381977, 587161825, 651529965, 206866593, 276307788, 870862953, 601650796, 568705991, 959896655, 982318309, 751186916, 20394769, 552104856, 49397896, 681478899, 115561957, 351365976, 30071065, 139587736, 715132944, 59899336, 350346619, 629660394, 680783567, 214138596, 788304478, 633150380, 469816614, 457406363, 625545515, 903216180, 665051278, 642997589, 963713795, 855939978, 74276671, 533230858, 178066839, 873459340, 561979550, 13331900, 634708693, 407080402, 323626175, 109595601, 188416641, 624172863, 663529773, 357165096, 538752918, 784784445, 594702965, 408656949, 176619623, 655379714, 453094052, 547583652, 185417500, 726595904, 543910805, 852072328, 968804941, 643541495, 923068653, 452598273, 829456043, 428641607, 850563715, 597047854, 482823291, 1986615, 101204923, 378072579, 634574291, 637365552, 847106000, 493365606, 631533530, 111286574, 892647978, 238382878, 820756891, 501273955, 247702653, 382115093, 420056588, 327563650, 774521635, 515066110, 226885318, 194380511, 984328133, 101462064, 60518522, 246131197, 507711586, 244974205, 777347035, 338072534, 242046448, 79045400, 318533274, 156356531, 261624662, 259403816, 661948138, 713106738, 341719040, 224307127, 207270668, 157940434, 281630398, 754900757, 188795228, 769040774, 25210163, 1866727, 419429022, 730155411, 85808304, 403759992, 556554461, 363182733, 694802732, 127461591, 405909971, 220415838, 643861437, 643684255, 49551252, 955604605, 589191119, 877864876, 841940222, 331290771, 339286015, 547248592, 680542299, 576764655, 337413066, 407647185, 691349584, 643035896, 439645541, 396047842, 549822685, 60081770, 4885345, 50686509, 179634422, 454774638, 35230731, 11058983, 857288037, 690275019, 335615786, 712340163, 436006593, 786515029, 639614649, 397311159, 972303772, 955031943, 442870665, 827744871, 7385499, 730258113, 654128782, 318070324, 770494456, 769241501, 256060216, 981842064, 698911814, 625627534, 760379056, 500499598, 967728579, 875587635, 484546148, 389717277, 807986249, 61768244, 937259428, 595592663, 608010707, 572194041, 606739403, 100542012, 52159143, 842341025, 638608345, 313796167, 470528491, 424848364, 461290502, 570020439, 626638211, 540488914, 350767983, 637427765, 626931714, 55361867, 905746813, 485376282, 224138883, 131484680, 650338724, 881099674, 26557555, 756219949, 333921261, 854779915, 652001474, 255775201, 861991627, 809320052, 203069067, 716077623, 905649538, 64678528, 959847429, 826314670, 449237136, 120389110, 192995523, 57281810, 204247889, 774800231, 473626491, 940608, 224857472, 13348333, 731593203, 772223976, 291449826, 119440279, 633537740, 309441463, 245992735, 388501055, 294202968, 735861114, 874938575, 742759489, 817000849, 454395691, 83264021, 197552580, 553167034, 427793695, 73394659, 351279521, 573711696, 183277880, 625796567, 682528352, 316545931, 76174860, 428676574, 188341959, 595079274, 464627925, 528659317, 364936675, 735352767, 326908931, 588436185, 901951792, 855485568, 319534836, 977956492, 859048557, 420977603, 53582065, 756846398, 279916768, 381674156, 381413761, 415864789, 936478592, 104412598, 309355501, 357919716, 40964196, 21584807, 601728699, 745147675, 204856002, 92635426, 761962462, 1942547, 820774103, 14861187, 269583266, 164156948, 724729398, 373786991, 326181959, 816273998, 549198235, 38279490, 870364591, 299709420, 549500468, 834220798, 349876246, 91445236, 518195064, 13434468, 337562150, 41805838, 126527149, 51050452, 964491228, 575567480, 134262383, 310993420, 317131613, 848908283, 223914060, 240451185, 498214996, 317790406, 866305505, 908477731, 652923035, 248051645, 703255713, 507823328, 537735965, 890737910, 103279416, 328446033, 985433585, 632440012, 519269640, 478605651, 942314833, 806787724, 709677464, 784521440, 502252073, 727135012, 687648214, 442299062, 615531491, 989502491, 390163500, 425447090, 287631688, 432235208, 735938202, 696264953, 636590969, 249569588, 286774297, 760009888, 436827026, 723194067, 480007887, 681399783, 202740575, 899688664, 556058674, 891898584, 748123783, 405465272, 407741421, 466621124, 172309120, 774403291, 961944585, 592405473, 467298547, 853383847, 941978152, 893300255, 620687369, 30839037, 352770182, 323976612, 520835469, 706003761, 574409077, 169133868, 945874789, 434698843, 405803923, 521639085, 73707186, 99240304, 967522279, 825059784, 222954018, 196779355, 184824774, 99522019, 326451190, 293519204, 671855378, 28764564, 153668719, 654665941, 381945801, 116621366, 183713898, 664863552, 107002452, 667375954, 417029343, 697735377, 216936739, 591451202, 869520514, 645231415, 258130042, 925293341, 381249108, 740694206, 206869671, 545012688, 299161892, 617746985, 480850909, 463773429, 205654231, 496659825, 984231702, 822439359, 838260886, 76822065, 866733944, 314972206, 448823460, 351830395, 881465901, 756325779, 965114158, 335362984, 29834908, 466593162, 59164478, 183879299, 238863544, 41605134, 813603804, 878653717, 610770413, 184228362, 216341402, 375448108, 636458846, 770577601, 644626290, 404446022, 101018315, 552553220, 30105501, 17394695, 462532140, 651548338, 510483511, 421638119, 662435694, 42502735, 756582540, 257586193, 1120856, 299442172, 846095275, 884920547, 52191460, 815226793, 86101301, 22703951, 806685882, 860505256, 400668135, 190554048, 355990246, 238986754, 731767318, 183358634, 420481201, 272673260, 647645097, 215410417, 797356287, 651070455, 244978850, 714449227, 182150862, 714744241, 837805117, 453238590, 952955294, 415591901, 67705919, 567062673, 614226777, 28324755, 391773113, 358402249, 199528943, 621010078, 204821371, 158010766, 995981778, 824814812, 573821004, 987384412, 697117950, 21810646, 157263348, 602181950, 42212843, 780492129, 677076333, 567631483, 951928214, 678632466, 745187481, 944049415, 722570609, 31692486, 748365174, 70597322, 360698118, 999477667, 999623181, 765129745, 81984627, 799846627, 6052048, 468346676, 413093862, 438955516, 935250007, 854924495, 196020289, 345402354, 559528841, 646906903, 897692032, 166948615, 255819755, 124726623, 898212259, 625751524, 954171620, 923731864, 348854930, 245872142, 235150186, 161440713, 744723326, 683903602, 447172834, 268223520, 476030877, 604620590, 324388620, 78732012, 941526750, 7493642, 170215645, 549190057, 618558139, 790407029, 825905118, 139316406, 21430402, 955531943, 193384917, 247030879, 815397728, 439635568, 422197954, 348005127, 185400353, 696873564, 518322974, 902133451, 116211698, 349127787, 340508421, 915965026, 487662374, 884233003, 823298880, 17512240, 84406226, 890615591, 865267167, 604283314, 254801352, 805296851, 298910890, 911728361, 918359488, 418680928, 596406212, 241470439, 571501938, 269776317, 859794168, 817962378, 482400590, 870646933, 725326923, 64827121, 837655454, 74307807, 494278614, 453054338, 307221158, 807983520, 979804374, 958278003, 712582424, 77659347, 202008235, 360233855, 902976981, 443300704, 32601444, 683298649, 277301826, 400389898, 647484184, 316379672, 105884113, 849961529, 794697910, 996518209, 181467390, 905116426, 635563891, 124493246, 223739341, 778040499, 589924308, 88203762, 861723630, 139852258, 799117365, 593646089, 286390349, 668617052, 641880867, 852910779, 704487390, 410436273, 170828481, 300519316, 164830587, 550310190, 785571164, 515854907, 169529477, 94657699, 626232561, 616493450, 662799039, 535079643, 479967197, 282492320, 591402845, 295153195, 356681586, 355540432, 459626601, 133188119, 396482749, 178283259, 552832654, 449983996, 217460395, 746851968, 257124923, 495687830, 405330539, 943979909, 569314072, 348741175, 445790424, 426425461, 812415823, 373113859, 648625232, 323649560, 717971412, 508128002, 684143970, 684894619, 943251705, 353026981, 934003226, 963917732, 845494080, 187195396, 67510256, 749102773, 983731203, 793982308, 565363347, 661434929, 285118853, 530731415, 595942855, 566621540, 207724688, 63778788, 368453951, 666504136, 402971260, 261100035, 982027923, 142821207, 730819813, 802334156, 239515079, 654215244, 488790154, 872739367, 848804878, 214573678, 420060371, 370133908, 636281155, 707747597, 350758953, 629642806, 490543288, 870981091, 993781203, 678003313, 213295192, 386317842, 764992044, 99068162, 911615970, 56288790, 723673829, 118175837, 66203249, 872679598, 221827199, 705666830, 759131658, 461146682, 535628211, 177757143, 614537836, 206340788, 914621301, 251295314, 65201599, 595527269, 948960412, 258392481, 420867790, 141651288, 884833983, 25376583, 641429607, 447336962, 226608234, 672745827, 299559484, 365884605, 437242125, 863893737, 437601286, 154345172, 681864582, 41077535, 493008373, 331338726, 533888521, 359072508, 66647170, 697300059, 780522963, 410854724, 535420603, 403088422, 452040112, 238050015, 563056444, 84422239, 312439908, 659293756, 474660926, 731297508, 296456749, 601753030, 38097459, 75449987, 89081386, 309459657, 793655534, 834882344, 770027384, 993982708, 731462191, 542155109, 955301608, 100736504, 725832879, 811787170, 708506823, 82290325, 516609376, 167515743, 795620762, 892909073, 460790121, 930327207, 929740875, 586030266, 569297038, 728696756, 786978436, 386346956, 935499785, 119598238, 546795687, 388091327, 468041255, 305051712, 201926418, 258335880, 791379428, 937858705, 119576645, 850751491, 170073556, 87811692, 853232848, 859171186, 950999820, 988599284, 916675203, 107047129, 373167657, 715060300, 874895022, 546471259, 251447810, 773293686, 740245499, 294668424, 189622522, 777450492, 565953524, 93868385, 398804669, 253188147, 222557214, 649358746, 908108667, 912255850, 615921829, 201474062, 192987479, 362394321, 58441155, 88223718, 874483960, 628014592, 962289441, 163385815, 708857398, 809191891, 866445040, 397903745, 983473644, 402241624, 828792145, 486596400, 559587476, 118370443, 348603309, 966883568, 18832078, 882909634, 299623094, 201001266, 549855166, 446064608, 927454286, 721649964, 263384516, 489301635, 490149406, 407361119, 294828795, 805228392, 357399330, 865570098, 615893508, 402982092, 237427321, 427169299, 629400991, 158704132, 668050172, 334475571, 33044653, 338937952, 993744503, 130325132, 814317635, 610759951, 264649186, 748838775, 223878670, 392482284, 635614465, 737961407, 529358376, 40569051, 687273491, 104821368, 970442312, 511678973, 687201125, 647451501, 81545610, 577143112, 21352551, 289136454, 932192977, 862009622, 513073827, 324994475, 997768798, 384931040, 612362579, 935970488, 969580199, 564009628, 449684679, 508115807, 995217219, 137926574, 875838, 746776608, 845361793, 264431007, 65771898, 111094216, 376216731, 887107839, 348982427, 643239556, 558353955, 914246203, 364842510, 231662968, 614826001, 334097430, 249464628, 435587383, 703981914, 249150630, 673502830, 450434060, 75242863, 431832606, 779735110, 66525468, 418286519, 687317763, 529225040, 816243581, 960509130, 499660210, 33841660, 991925104, 889416294, 533442087, 663175676, 718665176, 708847948, 614539213, 234965634, 112852141, 351482105, 832271554, 544950470, 959164750, 164797156, 466443387, 64837782, 530635696, 881416619, 881953601, 298341641, 710538, 210957201, 542877794, 728265041, 192582118, 405769326, 782441828, 680232586, 137265680, 234058360, 269340739, 378189525, 50760879, 940926474, 811087380, 352693930, 365609301, 633493528, 581002602, 54807765, 509955028, 9717398, 521024770, 71555321, 308381735, 452347982, 807264948, 743143340, 624227361, 905902175, 307338869, 266317631, 269951747, 187089974, 165207846, 345022355, 429425690, 312036865, 435928981, 502335405, 283890247, 287137777, 57517898, 599517561, 375655146, 863017980, 476518045, 242146776, 968092120, 547030188, 944465553, 131255512, 24416377, 254044389, 27746910, 666994139, 897738149, 372079735, 477768531, 607598911, 756223245, 577641394, 476449419, 292125690, 995512346, 478436449, 732357130, 181795980, 822786917, 721908181, 11638156, 57110056, 92301093, 849998922, 987470243, 761282106, 781743430, 83240174, 372913455, 500034957, 829088729, 81412915, 676930845, 190676278, 90268180, 272121322, 386362265, 573545795, 672064573, 346582784, 648847965, 833543399, 895147244, 697062775, 745934085, 211258423, 87874342, 198966368, 485916659, 837616954, 802264239, 817153251, 20066946, 674628906, 457594135, 476108039, 790843552, 221717758, 93183170, 515191374, 641067873, 977920322, 861993442, 39954598, 90302687, 92950441, 22716925, 896355875, 286603447, 222348982, 452913621, 786497472, 663687048, 661058210, 352169058, 927399381, 883684554, 536411055, 314569678, 264898228, 997748824, 566238113, 400382602, 822568438, 787125147, 422038355, 113326691, 718140328, 268292764, 783032651, 517884825, 35479189, 944057781, 63163324, 150928674, 223537025, 915418679, 478282252, 812868516, 179652820, 156745736, 842559433, 890400142, 835460258, 102642454, 336437874, 374840362, 241590919, 138497942, 871296897, 494769491, 969111084, 331841604, 331281274, 479256783, 359044995, 123894304, 728943460, 21169780, 416441296, 310762961, 266626659, 578540207, 792745873, 283886915, 709856079, 355357976, 884750802, 292463515, 318123905, 610712921, 493840386, 333691994, 671148244, 146589535, 869892464, 191850076, 579549964, 43475329, 432200920, 24292317, 558339244, 731656332, 994386812, 599595585, 73153628, 23808289, 193257072, 463418980, 950658287, 843689224, 55726030, 189286443, 104900285, 321100852, 416779643, 420983660, 432560635, 424511022, 102631877, 142954956, 622379660, 477373132, 83126060, 619590981, 310435279, 329029244, 545463241, 263895751, 745227508, 548394391, 273287013, 211182312, 523893355, 342134792, 60323578, 787960930, 957963285, 415894351, 480474271, 39937509, 575189254, 669374958, 968094784, 547552992, 858847361, 667452881, 281871376, 163826094, 510884493, 954650183, 947669366, 50296031, 620295390, 676469969, 491971703, 799707091, 577189390, 533890926, 289047434, 160130012, 135880570, 47611469, 205903845, 374156995, 175352630, 786663697, 811184709, 669071438, 120812354, 592516269, 464179584, 496219092, 819482897, 149826, 834561728, 360348495, 415898783, 874589754, 272300199, 577836254, 733936039, 185619139, 258588542, 336550260, 330050257, 993850159, 895112162, 122655187, 638121265, 446489750, 217034251, 14000894, 471375648, 264013044, 633207826, 475102954, 731243149, 538400443, 674447007, 519714318, 132424151, 451262994, 581274178, 132132220, 868504934, 773056353, 292831174, 109554198, 218795782, 133977113, 764110893, 437633544, 753765546, 960749520, 492705857, 475089306, 125296608, 874795965, 910174584, 433585047, 683077291, 793491455, 480475855, 838906714, 315895210, 587750029, 624683692, 458105748, 368045077, 631559501, 55626372, 119613622, 518392998, 107077433, 580050306, 157010649, 452346915, 290972855, 797180856, 642803651, 78861598, 410299541, 676339401, 609428236, 529899442, 107930697, 896460612, 643692798, 685310721, 78143919, 305661872, 567281944, 355533221, 601633797, 731257558, 904482032, 621752597, 281613384, 975054439, 595804854, 133558746, 662307231, 408399836, 335443417, 292310620, 790240786, 923007248, 963960720, 143459535, 373738661, 770154283, 681835186, 685061352, 905923434, 364877070, 557307237, 64918172, 928395802, 417383317, 597488685, 501882731, 191843314, 669660295, 694188187, 488382343, 958488595, 570151466, 627306890, 843506122, 652692384, 951788617, 227108822, 270705232, 116927678, 214282671, 660713160, 737415375, 649443440, 105518385, 887892388, 121290394, 744091652, 202059305, 629066638, 15248679, 80635262, 10129406, 471937663, 675663164, 941214445, 568850960, 391948828, 974991748, 388887006, 591474058, 868642298, 760461398, 612635114, 410281975, 468319238, 242571514, 293037455, 901659583, 177673801, 157032141, 570494763, 951081458, 791488299, 607269806, 196521820, 13028193, 786192772, 666243968, 669056077, 134871770, 357027376, 270541314, 706978469, 191091842, 394562, 642474268, 433505198, 700652574, 15354129, 698273743, 762674082, 90624117, 562501204, 494702268, 654764373, 930310624, 688592943, 468379023, 436049988, 939204784, 6530753, 514825246, 487790274, 198797955, 553933198, 528620934, 773430805, 837755737, 391007660, 632532295, 761891675, 150092795, 381368940, 318991230, 171025072, 845562953, 730725629, 484730114, 603293301, 315529891, 563655244, 759901611, 874116945, 57938538, 114771320, 765461586, 626932627, 710921135, 644784826, 86042666, 137278669, 83361654, 995964643, 926456340, 909280831, 928452094, 154656350, 21134999, 438211404, 704898417, 877415759, 127540641, 250620110, 804887431, 287654435, 770356823, 135561708, 970622941, 715418108, 436001010, 404439384, 285331260, 763985492, 358583576, 81914602, 810188066, 850445794, 971868069, 807230530, 463848052, 864504373, 562647675, 663400509, 185958221, 729360437, 367263221, 683916250, 965886033, 482807872, 831468009, 277306046, 798406773, 923997682, 901009575, 129268485, 842744251, 854262137, 397322924, 572531462, 553275116, 178952502, 425000487, 30656773, 716222745, 782806760, 223738316, 307156465, 546301665, 34747332, 983207427, 446760138, 19063006, 251226809, 339004060, 578091948, 738293391, 188562820, 218720029, 493013997, 236525971, 471837947, 896092249, 541262630, 657866345, 412641154, 877499764, 676687754, 20946553, 725506496, 179760451, 677960508, 767526241, 272464941, 723208292, 418785985, 645692978, 772527166, 64512562, 701943177, 735147988, 464201129, 672096903, 523978270, 302739430, 702352268, 956226739, 853744807, 601800954, 429775483, 302195939, 403098076, 946103790, 647765396, 958815717, 724798259, 313844636, 334318383, 360680037, 2061090, 798117832, 300817477, 353877021, 871744128, 988669104, 792651874, 86512063, 379759269, 774950713, 323678935, 430910761, 254592656, 317173052, 927947213, 712193956, 291985166, 338105252, 71800003, 50341887, 716403861, 670889109, 987200169, 684733263, 741264568, 751010811, 454250587, 137178579, 624078895, 438595107, 759615112, 754699154, 431710698, 576281792, 750443356, 41483759, 270981464, 319460153, 826811633, 273976076, 83341164, 854777148, 436448978, 575354680, 974115490, 569844915, 766294145, 378962412, 361616819, 440680357, 64187451, 337382004, 833062494, 441846476, 157484985, 552415012, 515661682, 626058226, 693849619, 374053100, 640756661, 139050982, 257178186, 274742761, 562122980, 805007554, 487931242, 958571550, 628889036, 718537940, 980204217, 418184612, 40399852, 416859409, 157870920, 765425759, 551526252, 617064916, 995107430, 286895937, 457565676, 657249525, 491344066, 649811719, 821511820, 416599311, 669512085, 554766925, 956593690, 983458172, 90990257, 333150211, 64283379, 24469475, 433292533, 778359767, 899080160, 905192624, 817510956, 401406437, 529411953, 214099599, 166660819, 265658323, 26813526, 977312081, 70889095, 235613772, 813073025, 5618071, 228643598, 833240330, 607812331, 164983524, 214399518, 928440313, 868067104, 315385065, 554387895, 157948515, 606775793, 760770743, 769162754, 877587914, 7774152, 7435486, 662408372, 348924930, 258591288, 975976107, 47897164, 210586480, 232349428, 845800257, 432247724, 933767689, 154733781, 480545675, 679863681, 656975482, 499633189, 984350878, 228601524, 29922699, 637836072, 770639004, 381478937, 92169866, 807321359, 867416585, 701645679, 240185285, 562359027, 370303786, 176836115, 300201500, 59522069, 111006542, 944176246, 691163989, 412196690, 754263748, 443437086, 961809391, 947745991, 427954887, 749270821, 704944212, 597971956, 884659575, 389240365, 704854353, 928655728, 690567056, 272675145, 552333625, 197195349, 251867375, 443389522, 698191959, 305568431, 576399440, 261128024, 728895785, 823396379, 509847676, 976331384, 963180665, 48525314, 309623821, 923180047, 77199751, 582866991, 710144196, 50500759, 52743915, 982099393, 195620625, 405815325, 868401873, 336709152, 709687310, 665566146, 301508781, 579356845, 555495768, 898419305, 856607270, 458608773, 475966907, 303602865, 860265298, 648514527, 246234031, 838773220, 223639309, 18549294, 947052788, 643107995, 312196267, 825188550, 164820723, 270995346, 820904731, 723942066, 808953407, 599764702, 626516253, 318850163, 506742940, 180558837, 983897664, 264391, 682261908, 528161276, 553996973, 672358721, 859184329, 671139888, 132256043, 418878605, 180884989, 255762396, 108799393, 216622377, 639362489, 320679022, 620301200, 817862365, 73539363, 309126805, 267246959, 228729277, 56015486, 735242545, 937683125, 514479349, 978730922, 426539184, 238391222, 568436311, 626427868, 685853562, 738031463, 983684284, 89130836, 728076735, 516368709, 120827997, 548325659, 324866115, 522712735, 62470303, 537559197, 557300356, 934414758, 387716446, 759645631, 770673358, 303655540, 75097143, 265709865, 159903686, 392966307, 829498418, 745647466, 749254045, 646495089, 763707743, 164367566, 680657696, 412854443, 564543987, 90637367, 476159695, 376359552, 656116363, 228436955, 308256470, 502213541, 381142232, 214743447, 924201669, 78770513, 35192569, 587451154, 129014820, 239733475, 85276129, 329932595, 282263208, 499168227, 230673733, 768055604, 695690661, 630475731, 220345679, 520850288, 355730165, 822751393, 119315243, 637584096, 804635523, 125723704, 993338767, 534706595, 626227568, 129394665, 933096485, 675614175, 528012254, 528829764, 440356699, 861620640, 800570790, 474536658, 572553330, 456018997, 770426851, 257097265, 120855013, 613808747, 186425409, 193379232, 777107268, 87760798, 172447934, 632791583, 794504621, 775507241, 568513299, 85889541, 94645910, 381612925, 339421605, 788197974, 87242643, 749224336, 702341321, 932525404, 692065248, 905364761, 469232743, 901631336, 157028677, 654336264, 754060682, 31378041, 433981990, 134806524, 450429820, 332507924, 965868757, 704973519, 578736630, 121175574, 217441261, 357802894, 416718303, 651287470, 271826232, 361013289, 515375746, 550840777, 575142297, 79452488, 194833805, 378537188, 478810809, 393993587, 352460233, 294921782, 235215229, 853171295, 241866480, 831768803, 172136107, 33457120, 474905737, 129031101, 567950290, 153504067, 338823888, 319798907, 170467449, 19961707, 628457446, 188999691, 72299454, 511911967, 741613504, 920446432, 305785003, 754075144, 88848820, 68653229, 850025767, 447973432, 509195717, 384195112, 350775823, 400191910, 189368300, 738340611, 29238337, 120990980, 739495296, 783067611, 506751270, 789944625, 499363333, 774686812, 568852585, 207383033, 146185968, 678750209, 84831626, 560681006, 66076541, 499746387, 588246736, 166190490, 277755270, 363383669, 699064161, 662034583, 578325095, 812931644, 739647188, 164794106, 443969266, 215550455, 981166585, 330453478, 724789723, 615488304, 453463376, 2070371, 932412374, 59326196, 830444363, 447671647, 88240155, 382165641, 123782909, 793603213, 394214310, 809516842, 746342753, 365953881, 715766783, 980297287, 945668379, 802367388, 620607905, 874994999, 334489774, 679090361, 526259593, 238380034, 631112746, 818755364, 817148816, 485987029, 211499843, 63848296, 828794563, 155693687, 655730978, 156583225, 30968629, 69539646, 541665059, 331063865, 820811078, 865160957, 787270456, 333354266, 253557198, 190838252, 725001830, 240579638, 258011269, 964012313, 702574204, 378989479, 189374945, 145372992, 131641654, 841867535, 658488353, 779330400, 544694757, 114583305, 866204967, 827068725, 100770317, 710033869, 768708024, 701958239, 746547016, 323144478, 882972776, 414994744, 514812430, 731318627, 40617318, 74997752, 850396485, 782670477, 405241392, 524078426, 526938691, 617624754, 797753001, 408285259, 764596161, 598974966, 205542371, 276590592, 125503640, 143306851, 727055448, 389701112, 713180217, 48576593, 91709946, 56250850, 944810540, 242415272, 919659701, 822059745, 743090178, 762423598, 380285506, 523838421, 853246105, 340517917, 740144783, 37582462, 9229653, 817668189, 516410136, 525423270, 652885243, 365469500, 108282810, 50796708, 772605448, 477267927, 304509581, 472399243, 390492548, 734730768, 834399943, 400571697, 795142052, 807807303, 797922871, 260619428, 454133868, 145035139, 356117145, 847036660, 853778140, 303013438, 611694832, 652947404, 552372237, 135955387, 294188084, 696199456, 211608499, 166693975, 720450779, 607763608, 283202868, 951750590, 613964580, 207703526, 388212826, 348259036, 890213780, 246383242, 757050714, 830807191, 740006335, 613084832, 794458747, 818208460, 447915125, 473442687, 384057193, 910066830, 998487408, 69560391, 56847170, 643190245, 747077656, 332447026, 94075813, 561271042, 765222756, 330595912, 241283819, 750696172, 833877887, 341347216, 589373837, 447747922, 466719938, 286501838, 415157405, 654323175, 339406409, 694699051, 740171585, 340701794, 341947345, 500777718, 267610730, 919930709, 436667296, 24737943, 167094743, 640102068, 246259531, 573000117, 315299327, 536261878, 813573916, 65177949, 950279972, 820455868, 11599820, 435261814, 716812237, 956836295, 323568640, 241366397, 963495805, 127701176, 762541479, 615028171, 752788501, 823037906, 535372959, 385635106, 941936765, 318492717, 906391237, 785422647, 518134527, 787851504, 409102412, 39661327, 893090327, 493629644, 393201140, 618250836, 674692266, 388949077, 357859741, 673349140, 130821281, 552431869, 682941580, 776818990, 830456594, 571540892, 557365895, 271083551, 569902777, 295687509, 421540897, 412008793, 838523779, 390644604, 326196112, 922133105, 768081750, 891832047, 479048029, 663935615, 227745053, 220025048, 269045687, 353428895, 631663339, 114347252, 916950203, 264040959, 30253368, 346399737, 548830616, 496868496, 552711987, 116460721, 418887541, 344223934, 153831484, 710695126, 71384069, 180529339, 461483144, 940538449, 973861150, 255801366, 59765487, 864272275, 740423831, 42050439, 951967505, 504112793, 47731860, 176674232, 991339871, 266543875, 339820313, 731818878, 594834983, 4232530, 542317995, 359657200, 898200644, 636109328, 968503921, 875234670, 192146770, 442374890, 648519369, 755991595, 293296620, 895802621, 224497175, 917251986, 82018717, 793558114, 178713476, 578505896, 944636983, 72635932, 558066699, 691552885, 114797461, 206504307, 469539168, 541946627, 173464713, 432691088, 706226817, 142594280, 415117581, 804383853, 277002786, 496767343, 49241848, 738120105, 660826332, 489747157, 619556203, 693661936, 982104718, 301246684, 67291404, 145435718, 347119917, 75356399, 826771875, 736754953, 909241257, 482099288, 302243390, 514153785, 930001605, 452239107, 740712008, 696123907, 688364320, 622207635, 224353619, 185647226, 320094234, 871637084, 836218802, 592431428, 976226949, 254769093, 840691108, 939013398, 757170812, 49920838, 461621542, 473655048, 946427983, 945983065, 190769907, 501401760, 798174723, 601062662, 718030365, 197453090, 121162742, 737954930, 8834615, 66246298, 960354104, 669008526, 277585720, 84372118, 268150528, 736902085, 627948284, 949265932, 692552235, 443631945, 426175261, 406093711, 227739831, 569276031, 603168124, 847264773, 46771623, 440960572, 146935725, 47566620, 974152036, 116642530, 482593735, 392417265, 882243715, 615450320, 414988271, 2683349, 206210938, 252986277, 971556828, 450765916, 94338953, 783564849, 45777331, 314889374, 993437809, 444149648, 863650596, 259688741, 54993000, 511577082, 641380806, 485724663, 844553945, 35047955, 161530303, 197715767, 701642456, 361862667, 275478806, 411810330, 373094668, 197505874, 76494714, 394072504, 775781758, 718173692, 691782715, 97774777, 503721370, 635471307, 800040117, 125790047, 441886482, 439997603, 362781875, 560173444, 226771493, 357597773, 158841958, 775624462, 850108805, 138028998, 872086520, 411647263, 189855650, 921366847, 125794398, 979671301, 568808402, 514003137, 503436421, 763545728, 487985427, 121016482, 971008275, 998457882, 463098070, 797622187, 388014247, 120092830, 13125268, 742198069, 900895696, 567201212, 802758118, 36535572, 264848536, 229680934, 903770651, 934678501, 787889262, 922721447, 696521730, 471723727, 580540076, 98095217, 12510537, 734070487, 946148440, 971816548, 263447197, 403698583, 855959995, 622098730, 70828604, 61663901, 213068000, 778597684, 724305004, 372135378, 354375894, 132322774, 902552158, 644293518, 961820461, 199356169, 698057494, 71784317, 837261961, 345091016, 140572634, 619753287, 532818259, 334113120, 529006482, 726758966, 4930115, 370581302, 476595119, 184647591, 454973618, 699367749, 729145937, 153796152, 620393255, 587707207, 583575290, 386277986, 486557842, 427519961, 240978444, 802993269, 250205064, 483008330, 597950406, 747600557, 325363856, 714091827, 659075588, 976147334, 285391461, 598305690, 714577857, 319803889, 254409672, 167272662, 384718163, 266435481, 677935561, 607185653, 728451121, 865092691, 656317974, 745906660, 926807883, 90386292, 187512202, 524904460, 673427954, 368868331, 943167273, 210785892, 16896793, 658987006, 994453986, 760808677, 173299866, 931638751, 965249567, 39605288, 564994334, 368975951, 267391626, 403789301, 866065923, 263576992, 945671397, 177687995, 800503228, 210543073, 498365183, 279793182, 475207258, 632634543, 725194197, 357223271, 731568704, 143836833, 576631554, 689795641, 919662204, 183655, 316612381, 46825941, 322355614, 34488804, 482706850, 90341229, 809681891, 600647741, 53069606, 145608798, 44125849, 313787926, 615459747, 779761832, 281126837, 98615617, 448752259, 664304567, 463324195, 859643897, 98720709, 977529450, 571637553, 573658838, 948372675, 417078080, 879461418, 191514336, 447941796, 975539007, 169235073, 487596182, 36637418, 332545134, 298746872, 402930566, 994736910, 283072560, 400730249, 761438065, 644786584, 29655238, 617835034, 397623969, 754305774, 273669566, 276170216, 269366314, 525406669, 174868278, 344346251, 44290543, 499417720, 273840589, 195390389, 771829551, 853074494, 834188073, 318726513, 890754068, 819911938, 507856531, 394697742, 253473821, 840456037, 682395194, 109257200, 201434541, 675903596, 132318071, 569238123, 401514312, 237857056, 47899593, 530329021, 66587919, 607980289, 943743783, 660647622, 125240556, 833033359, 20879481, 316011758, 282379425, 733202365, 956598237, 223601523, 987388331, 478723707, 198120656, 134684419, 54608638, 837211336, 616688894, 60492843, 622942063, 494984705, 419285621, 120903664, 814639775, 367083861, 705417247, 517335123, 812935726, 86328936, 854663334, 719744044, 977314129, 534515935, 334044293, 904008788, 636513550, 684535717, 987146489, 790770855, 183697750, 60642934, 473029999, 925098145, 942727397, 830620864, 628535409, 365495442, 23579478, 938238478, 37037127, 482169318, 812731234, 750484607, 424072242, 587798654, 497045282, 436932020, 596448266, 397906922, 467677202, 94204822, 157598642, 509154619, 754158848, 533615797, 411708975, 970909222, 404118645, 90424160, 53802023, 407497094, 193588183, 264813407, 905535223, 142837909, 702969027, 302159885, 71492777, 121249047, 171403688, 738635662, 91550264, 114041934, 380660620, 453137966, 854282160, 616102928, 828721970, 82620218, 79293304, 667289657, 160763354, 242836965, 664396273, 645312548, 664565492, 25299864, 838788602, 769948258, 522503714, 241285854, 709512925, 562834801, 408634499, 219600070, 640090758, 719672645, 925737998, 603961365, 306362643, 998369759, 76984956, 180112670, 711717936, 506822425, 644197780, 26695985, 736398046, 13136100, 871344448, 78055788, 858357727, 309141568, 773209331, 214395283, 335746968, 632114367, 276424147, 584174063, 350709, 520808353, 255093840, 540916492, 32953454, 989696566, 305986684, 307110152, 75617259, 999326356, 924394448, 698083305, 58151588, 313331750, 262090258, 346811462, 493143959, 258087748, 86988624, 543913712, 511797185, 478061604, 790614686, 958231295, 304918581, 506503807, 810240101, 328398092, 751508354, 364786931, 875842830, 166792095, 797655638, 366956300, 15539360, 85122050, 901107652, 822247340, 43025268, 929034529, 821695403, 308031946, 383380379, 660085896, 824968768, 171764404, 254548074, 204692456, 895247031, 873779609, 636622724, 343888054, 126004981, 106935807, 722520912, 176677929, 133935323, 989702312, 482032411, 671433588, 682530274, 135313599, 236700108, 169560702, 123823956, 270070055, 276472440, 596874386, 470835763, 717099065, 832199412, 953909678, 168447365, 55892528, 8845059, 407620328, 17936881, 633218755, 708821998, 254034632, 528085081, 935365319, 667738721, 944139384, 488145296, 935738349, 738989535, 753761734, 403003964, 91286555, 385358154, 38749192, 712210471, 387212941, 403579589, 356141729, 45881281, 171984323, 423765853, 768586751, 805192543, 673377760, 112401658, 808373577, 393081051, 122283982, 608559886, 509505249, 717361317, 189959413, 441695428, 931245005, 236317038, 645179480, 262664709, 459901875, 91090898, 972824469, 699220199, 777212786, 326820901, 171464291, 478966832, 918927359, 786456261, 77971979, 958948872, 594163724, 924473700, 70660433, 146364205, 226797256, 832094353, 341955006, 626646471, 577369989, 93326990, 843001495, 705656119, 960002666, 4356773, 142809875, 514159560, 889593985, 923753210, 802897926, 241764091, 262905339, 131674907, 224035980, 830177297, 146305020, 477767685, 719967443, 747045233, 65666992, 768195689, 101148134, 891421381, 851717209, 469088910, 463941425, 144432347, 474336389, 676615632, 390917048, 605723383, 736168898, 533814977, 4794081, 531811175, 925364631, 311467691, 603357470, 608856729, 40693242, 246151749, 237233762, 525268648, 124349391, 522733058, 666762623, 188553158, 851878623, 90073999, 132710109, 587906991, 677829666, 273051604, 92364039, 693148997, 134060127, 244953437, 638068087, 958503460, 922497660, 655065820, 406629054, 865140342, 840974530, 702276776, 965557832, 928280891, 973110827, 33447554, 452905811, 244362347, 901501694, 103453403, 201970632, 798508057, 627789079, 51871658, 533425628, 649202399, 797043496, 207882677, 403358293, 197260099, 970025602, 711565081, 461638717, 832407164, 777578330, 386163809, 116738539, 798073860, 863808317, 195663879, 126580199, 561751114, 854953612, 366993396, 765702162, 808450406, 759572885, 866339587, 317298913, 675289622, 692647873, 813044271, 687063064, 920108553, 715129660, 209941279, 761292060, 320233262, 459045570, 802653486, 280565996, 276945184, 56896188, 167244773, 725350932, 406158200, 296397794, 380666997, 439687820, 800992687, 476737244, 880157971, 533060156, 290349059, 548966754, 781801049, 838142882, 207005401, 630918026, 112355534, 519450726, 367473778, 66613053, 116230427, 566184635, 531975831, 88654218, 853222831, 4396776, 726565057, 357806781, 422148525, 306591792, 940264374, 592055167, 191720836, 779923854, 286151146, 711343862, 868508382, 62748734, 128986615, 817885888, 147384863, 83944398, 217487609, 892110200, 765627041, 524950352, 893703810, 337177738, 912328193, 747537195, 71405405, 18453709, 195780796, 653911058, 201681830, 758887299, 888212776, 175779142, 296353428, 575424861, 631417042, 555263824, 677847692, 698120073, 498265003, 887937440, 430544801, 251662914, 817557584, 559165194, 363749127, 299846644, 664399656, 336631637, 142555285, 965530742, 905167468, 952188964, 180611355, 417498642, 455031791, 61971192, 728565565, 586993971, 510700007, 618589664, 285241967, 97291780, 632816648, 618311458, 657632391, 116599784, 5886959, 917146117, 714831549, 755982023, 67413985, 63826797, 657879185, 267171024, 207887739, 415794080, 565934381, 866043552, 137471223, 427503863, 884002504, 249689425, 909848372, 141956628, 404575354, 559918570, 332641892, 440201103, 66028444, 273313981, 284013482, 510839458, 658268332, 615341922, 894046904, 141014936, 871817922, 281786552, 444243681, 844840386, 889945049, 257157160, 228010294, 136163350, 874200220, 506571701, 777117411, 737180102, 96122604, 662876096, 593652964, 979885136, 184589576, 202746214, 161682401, 255958520, 527477664, 241528992, 915915394, 335020572, 442397426, 328583980, 216931542, 22998540, 358662633, 301314580, 640964851, 218625097, 745960127, 580122997, 757515914, 261046391, 846235486, 430115019, 813461000, 820463463, 1929040, 843145538, 663116857, 843096378, 824694590, 970130625, 942720485, 350046942, 141846927, 328799506, 217513224, 86446562, 364170264, 345974801, 33842698, 120880123, 138611725, 548355287, 558381316, 919355445, 981247239, 312592235, 221909417, 693788186, 149252587, 910924303, 225485747, 574624352, 878627345, 594284807, 871200859, 104810785, 122788955, 946440856, 543083580, 676691983, 886900657, 223278693, 268268923, 293530436, 561399405, 891024856, 474285982, 764383440, 925449240, 702031161, 567167411, 591441162, 455813745, 196450732, 13926343, 646321674, 663825397, 306364896, 127689541, 378151221, 67498553, 405065211, 997107842, 865901382, 168009018, 125521549, 363443057, 649037047, 192904063, 436171489, 783865448, 874487710, 806586006, 362022091, 477481399, 220411427, 758943254, 204097643, 501293845, 941281494, 280366944, 708077402, 430490432, 349050704, 762252662, 936373141, 60953542, 695036784, 425258089, 688105496, 706092706, 278381003, 968195893, 169161628, 647738606, 622415018, 860527044, 689307198, 557912272, 82363822, 684651647, 922045945, 3862342, 886320864, 521905316, 192004635, 353312548, 413878723, 373106662, 796255747, 233625552, 717664035, 869043114, 188544811, 162106928, 667043603, 20382320, 644230476, 460580417, 7100485, 624656868, 709442995, 871850262, 146332367, 789725442, 454983443, 711706781, 627361186, 859000991, 538990216, 775780173, 31338284, 153640275, 441116054, 943769232, 277869641, 797112129, 933275628, 855948279, 42060805, 689069488, 629900443, 717193998, 436560729, 448343139, 10312445, 864818015, 95866923, 832918554, 736146622, 880846200, 277176931, 163201971, 857946602, 747288259, 855504302, 670845777, 928539720, 570843428, 665374297, 111809093, 415956067, 163814542, 118258118, 111308151, 160314365, 752782619, 686460220, 175198008, 312550097, 679103015, 186852356, 435196326, 46354963, 388856336, 964103187, 861256268, 50518654, 86269283, 115626389, 806785080, 301047035, 383844971, 125947306, 899279409, 945307423, 5739043, 883488201, 534802403, 775215354, 63966579, 599192849, 788857250, 360694362, 794794544, 136291099, 976592327, 691148717, 728791559, 202117875, 682638723, 856174395, 841618967, 35160986, 848298868, 430247350, 208521078, 548246469, 129406116, 39217090, 746090086, 725115926, 103270647, 8883840, 292323072, 692076177, 615438959, 624303420, 663273315, 619933595, 408635662, 916075117, 748977808, 260208738, 229202452, 415068590, 407693135, 824212119, 803779068, 662483015, 929718523, 43933125, 71579431, 691487081, 105926572, 137977399, 743229996, 856506178, 44452046, 710948240, 84072192, 798186365, 561456417, 61039087, 66028835, 419922872, 99459129, 96646445, 425212477, 230446082, 859032424, 289708293, 667894012, 935884271, 959190179, 647428446, 403882521, 477780539, 597692972, 232011832, 447977636, 431938210, 4958356, 518590152, 531601520, 707691184, 581006853, 890391386, 4494027, 821736478, 644106809, 778226675, 747937442, 674199528, 490845203, 148826883, 60878299, 340576886, 344476046, 755287265, 61609844, 308388196, 53430227, 897523250, 453373177, 347813467, 946351202, 52808567, 526427973, 829903057, 287693934, 605368989, 291086852, 169364425, 697700082, 687482886, 728527912, 855164673, 330022318, 357869124, 979284614, 17575106, 376222728, 627951343, 910844342, 844891587, 173732075, 720061065, 272081137, 604139347, 856671027, 482750862, 858270082, 691357368, 734033286, 147862489, 657680671, 551592220, 143938066, 56783701, 425904374, 727944137, 45130029, 463603522, 771993089, 335763483, 262988327, 830278861, 589300751, 49276646, 787053440, 916767116, 556477467, 279398732, 86106663, 444731550, 709853534, 526350328, 760982524, 882767931, 142955184, 450971935, 297860941, 501021150, 382902277, 646358976, 63758878, 73489725, 590401350, 826114915, 366459765, 931467601, 269945193, 861598786, 441548036, 365765743, 426482712, 907637041, 651891592, 35490857, 537273575, 405614374, 958181812, 138170890, 632810746, 233756611, 242083586, 733708323, 85435870, 720161523, 643205444, 713995532, 216158931, 674590589, 186430075, 234132939, 596572670, 437186989, 782376520, 454214096, 133505657, 135974528, 346277054, 886451042, 311146420, 701984220, 186825127, 599600934, 831773668, 649086984, 979636405, 619789976, 541792645, 476908925, 684555496, 183562750, 615882355, 168452967, 759690577, 7991467, 341650327, 280190439, 487628685, 795164864, 926196782, 725221598, 260580409, 806543758, 801519240, 949594482, 667694532, 537728488, 794869729, 294187800, 356856465, 96027443, 448514102, 869065914, 749458286, 938647296, 506385419, 169338293, 482241812, 337030162, 285224469, 210119780, 134560753, 966639002, 981903970, 138059038, 988035462, 449989412, 487097365, 770393411, 642576096, 351195061, 701573450, 128792137, 154216014, 776644076, 938029814, 263539278, 276786699, 829249536, 658936107, 689190427, 746552781, 583530974, 897984363, 939604499, 423592163, 422900769, 377777003, 675775183, 476157744, 823204076, 26893839, 866486839, 965882697, 518822777, 885230319, 451770514, 819720997, 208068722, 223562612, 929464246, 601004610, 902819339, 340679469, 730596827, 992290738, 62510301, 51232315, 710615508, 278866796, 529201122, 168855124, 864944885, 194161584, 938126921, 999633763, 671971196, 451027494, 477593154, 792830210, 973983806, 419323807, 208614149, 777264013, 891876302, 302133663, 198676737, 94880876, 413663187, 743564204, 280855802, 102105646, 366572302, 170953999, 706679798, 592197822, 129944119, 30213796, 850917955, 440431362, 116711619, 405628182, 809253424, 173544021, 989172822, 393185488, 778704432, 279666133, 943663774, 365594819, 92373414, 904010169, 165769963, 56277366, 474942257, 959990012, 938236627, 977037415, 497845467, 433487125, 651572792, 973982568, 296452287, 228844685, 131477654, 357424564, 730354800, 630195333, 754360083, 16227591, 948081521, 669733316, 912363872, 371536323, 529616051, 567860314, 630773073, 42020941, 51331575, 661883160, 405689644, 757104276, 936191619, 174639181, 349379697, 180326118, 171704107, 317250396, 922453293, 760434220, 475922086, 519988152, 295686379, 31840779, 831298263, 521700720, 521797454, 426961375, 854470982, 174593506, 836973878, 312393307, 148785753, 79419581, 19007546, 85226210, 219957737, 489842246, 469513111, 721906484, 49527374, 357363208, 956734774, 110052547, 150959932, 189994078, 609039572, 599003192, 989958109, 30925686, 800802157, 185859775, 321213562, 602033559, 389868903, 431075169, 537173725, 449838380, 170442817, 796979111, 356179943, 611627587, 153371652, 520944237, 332861073, 561736410, 817316416, 951051472, 791384198, 261432782, 44076330, 96816940, 986417000, 813922097, 20961109, 617167673, 607105342, 461653930, 170343661, 257252153, 670629417, 886951042, 12917248, 818205444, 156063133, 406238560, 320867415, 71357299, 127187924, 609181387, 104849144, 81351081, 822164287, 904314075, 26015789, 544027523, 600749801, 920984606, 883705090, 596416338, 513963497, 669582659, 700403188, 724491114, 901919277, 309716827, 449433155, 120280168, 467306612, 544882858, 652327775, 144824046, 406886819, 205802625, 979579082, 382194864, 999753055, 920521563, 846699203, 451548810, 990163744, 387166495, 439669122, 616544434, 956717071, 149689664, 555995616, 274816282, 434706588, 1924594, 855314471, 931822042, 61686979, 608468214, 768879056, 513829875, 818900641, 184992235, 323772776, 130705760, 93546202, 955335407, 417823390, 423260360, 24782857, 626618467, 9481036, 37301703, 45976603, 283588902, 485829787, 371404534, 540414045, 644500988, 30438653, 669998808, 844037117, 285191057, 772038769, 395379111, 191604087, 906340478, 794151717, 133324820, 414015116, 67516248, 84078088, 156993471, 41073301, 297957752, 395996177, 64195968, 992538422, 998904557, 502632869, 726863076, 889769404, 495778311, 561587012, 186141106, 532307425, 514673080, 950183413, 914704028, 85189078, 818016864, 876499127, 225703133, 222535040, 116629799, 641344937, 692079169, 902419141, 905395273, 309769426, 255570681, 734878586, 578485887, 551792849, 500391943, 576745940, 26767566, 686612305, 905608791, 171154379, 695487816, 501020275, 901867102, 107836585, 123326863, 372518962, 825875876, 268224608, 669062310, 53668623, 243026546, 586658149, 812725612, 162686727, 479697440, 497400754, 807608597, 432008500, 483846438, 473357194, 937755014, 260105609, 33350561, 179203012, 73729957, 212780648, 781095053, 777963203, 834635959, 494391036, 493720201, 407855562, 800451918, 649187896, 412115489, 495522090, 110403133, 787901656, 433678553, 981499613, 386016252, 837357010, 797119729, 557126491, 917643367, 492481659, 233081207, 478678828, 444774571, 661169354, 151809840, 11481167, 739448672, 932542223, 959838404, 298527082, 64014903, 747676461, 165701950, 385562095, 202473446, 334403949, 48553453, 189169951, 159834683, 134786209, 308356525, 595759928, 548242528, 551613783, 949871152, 174313239, 688364113, 925854149, 247796986, 530331679, 809182353, 718277860, 292661810, 554631667, 497799991, 268375708, 478591593, 827049698, 629913496, 424812248, 272810406, 956038971, 929745609, 68608368, 260691378, 294640610, 127404513, 70529183, 588961419, 198393731, 156527987, 951833719, 112340978, 309797205, 583838670, 678991122, 391726602, 799964357, 457044742, 361572151, 849508906, 931097422, 855871296, 248907772, 639137612, 89471532, 988442296, 248998454, 763452733, 374730264, 571923166, 157102687, 777175198, 447922102, 717456192, 277400508, 879039323, 452341032, 699247581, 489088179, 421035324, 17005101, 388046553, 25604850, 265164331, 401849145, 827138871, 834271654, 936073639, 480002944, 995703263, 8504080, 264129903, 633760524, 537390725, 797156220, 632996269, 436701757, 358128439, 3336327, 247841830, 825774156, 996158263, 406534736, 896789696, 861888927, 910781247, 228147041, 188755023, 170858474, 575890612, 876924726, 635569952, 371594568, 453828190, 195873903, 456658132, 114108647, 777723991, 458093745, 972589093, 32443540, 203519365, 468080374, 236739055, 157275081, 49441879, 812330322, 185596365, 778185102, 848631548, 194239016, 469350758, 109717324, 313025770, 325758907, 994315040, 580628816, 393257624, 156495859, 342723483, 368531795, 360467181, 86728322, 252402366, 168236836, 374297013, 363296806, 290448397, 186042173, 476450658, 937634492, 647193210, 781710475, 60810568, 259687788, 505673796, 668268833, 472533482, 89608398, 921551218, 756448396, 790064506, 580689620, 675872520, 31432472, 849400480, 335006311, 501224443, 221646518, 201418938, 868098219, 811115218, 27571990, 815866342, 598338998, 666597462, 786214986, 291885590, 715493094, 323456648, 8254352, 341235214, 93236893, 480577866, 586865123, 278484670, 24469285, 408982217, 690814524, 748461779, 254358555, 858934605, 849429481, 296566366, 814107112, 202515008, 558588562, 54538395, 461430460, 538694509, 795677044, 536131557, 539962161, 323907420, 649389490, 57450621, 247697237, 291236662, 818621915, 195676541, 401171861, 762449176, 96353306, 439936771, 972210535, 846754802, 707560993, 146696799, 744256508, 218435506, 655103999, 447134057, 5616733, 251014568, 396335859, 31388980, 948209543, 235355131, 100961605, 822740043, 401247194, 667866867, 386510435, 892882870, 345305018, 852891129, 632538359, 173259021, 487306676, 614856744, 555684926, 757261435, 601854766, 193904732, 965949720, 387458727, 754827659, 611589519, 420410326, 231888335, 611743091, 902493750, 346334470, 177261935, 159417873, 349652055, 638066598, 622879749, 490662967, 208779426, 419620167, 306412423, 90735735, 243752085, 397676505, 165691738, 434262156, 163200640, 86481356, 431590688, 64693798, 926465645, 739406510, 725697397, 73468804, 379476313, 148613993, 398334749, 898539090, 470336658, 721463758, 840913860, 68908954, 417575153, 687334748, 877362470, 700250120, 554016101, 578495879, 553696399, 843604342, 794195738, 30842153, 588374935, 738872270, 667307269, 784486568, 173386641, 72527260, 370614996, 277600446, 208045213, 405952359, 485479526, 852221974, 780315249, 404510283, 766775967, 438422825, 2365062, 459879918, 282654263, 157683186, 740913400, 124078446, 323872637, 425664895, 812446063, 117542318, 799332912, 630474073, 173204533, 533086719, 253930303, 86569696, 630480803, 70383093, 323666621, 575563281, 260001160, 710760995, 734475403, 368004315, 759378295, 89279208, 459003404, 891807133, 267918696, 655087854, 261306290, 853280523, 480544723, 374896896, 135246298, 342316704, 413391827, 628153912, 476315109, 786915659, 25313174, 229859414, 652276106, 119977372, 305292978, 257733158, 323241548, 354359230, 905718995, 36696034, 320452589, 214737142, 723813129, 835765397, 311161856, 393181904, 133342379, 75270716, 757946703, 459515609, 391871860, 760447350, 16189455, 898708933, 122572472, 496198641, 458305011, 838443468, 357311736, 749741379, 928394688, 750330296, 623411919, 607752334, 296084682, 160996197, 626820453, 551867962, 964074023, 849487731, 738233725, 54482006, 727864924, 909193462, 504453630, 679839480, 828674858, 875509731, 658590320, 851878237, 758673077, 519331475, 93082583, 791699654, 83691918, 253100146, 636608370, 428376683, 337782236, 614515663, 672403031, 109297967, 664463221, 194865697, 856550541, 731942663, 558457824, 11830971, 236850022, 773793235, 133280664, 107849999, 569615448, 791977698, 718085871, 302430232, 161820627, 27333912, 271820109, 919442657, 520578049, 299263574, 4801556, 39101015, 56110438, 51780648, 97448798, 147135118, 339259448, 276745309, 368567496, 794736270, 352388292, 943852324, 747754412, 931233430, 651599690, 524659056, 722253733, 543186350, 598793922, 8490559, 729423802, 665858987, 319183663, 393747593, 465307462, 919617379, 601263789, 480631625, 110221039, 252058252, 307882698, 853372378, 748904471, 93308923, 221782720, 917781589, 376008529, 203307819, 986592510, 600223457, 190185980, 799013245, 59494647, 669563232, 448129144, 993321297, 51582990, 721198065, 246669399, 747568553, 604147123, 110046095, 915993007, 314947945, 861603552, 314707380, 496671780, 425386397, 611147879, 852897556, 889005988, 858344277, 562569159, 552799456, 660550061, 29313576, 711296561, 890932504, 91466822, 379031077, 83253269, 230746154, 584557418, 13176714, 455441041, 239966369, 429460142, 995070743, 22437574, 688178934, 903567531, 907273557, 90604471, 912768902, 722745151, 253712351, 53427968, 357074994, 802672909, 933713351, 802383404, 493912461, 945108850, 129058817, 611485277, 169588239, 266972681, 255851257, 965679762, 983966906, 572600402, 528634368, 761532145, 420431195, 883570296, 666729528, 114854646, 536571179, 450842242, 941093580, 844053229, 971568520, 139419926, 549066863, 663300476, 402748502, 124629627, 343982686, 567646713, 731847475, 861758921, 383389892, 562266145, 15173795, 282042183, 230061430, 723117763, 363592744, 96856562, 411423161, 617301715, 153403644, 15231246, 683415115, 109789710, 666935794, 215240187, 730564107, 964863935, 839908261, 803930750, 964805854, 58042719, 914599265, 167435821, 111536110, 838949971, 167381372, 686119133, 378989517, 417711977, 884545714, 367003724, 328449824, 240640549, 361861935, 506572917, 293773783, 347765439, 329107036, 115582443, 109804752, 115171005, 33720278, 142622766, 694002808, 874608597, 394593297, 301154944, 529313752, 993714937, 648830024, 332611827, 182800107, 722186551, 435138590, 764124312, 447147075, 79607127, 412468713, 212696415, 122929866, 679997285, 720706618, 374997461, 378005901, 557795638, 504318385, 849399175, 184125608, 282666859, 471666248, 962619182, 477238697, 760618348, 323127896, 756643916, 102728692, 737327550, 810404463, 657937982, 319602728, 116602518, 948219808, 729972538, 982931107, 566016684, 340926439, 667746868, 990885525, 253186854, 157774077, 931261376, 782648584, 262853232, 334468537, 350539912, 534281651, 627121030, 220191225, 41687950, 104711697, 488746840, 498095407, 905070111, 904326056, 393297086, 245254104, 246244793, 519066514, 630917652, 373369441, 93169445, 60362580, 973529823, 441711045, 159636073, 638456206, 586092699, 575367628, 249793959, 965615194, 853066739, 632321343, 289924109, 633987907, 818877835, 83665914, 760260918, 306574444, 63882364, 211418905, 489154740, 826197635, 418233471, 476500642, 935229877, 143266509, 405910611, 276064312, 978903931, 217312482, 436365527, 79266812, 165988795, 979829371, 654266058, 42749456, 304075964, 556582024, 482185495, 996898690, 569635832, 570723803, 361749979, 686019855, 801568169, 424046104, 69907726, 735984366, 692220419, 755393179, 386925081, 38523033, 659261357, 472482945, 115185045, 90958023, 813265491, 581099216, 639385341, 298244941, 572061272, 198896360, 354616368, 220480893, 814905826, 86578118, 4856655, 952062387, 999679249, 765175844, 17177664, 152652282, 92874975, 172966527, 533659557, 196464533, 666813208, 907863360, 574853804, 424152949, 275718304, 574177751, 953510205, 413690639, 989791011, 322130896, 496959492, 337917088, 894090511, 47923190, 424259943, 747643809, 324500706, 325942642, 757363208, 546422640, 63290649, 173755257, 559881377, 244840797, 30604778, 825859046, 362943682, 388766975, 420245226, 657436367, 364418116, 480311315, 254422730, 912758732, 199294939, 391938490, 109957960, 331749764, 840578261, 279462113, 598821039, 619248248, 767469030, 241033965, 967464977, 41579992, 975250264, 583448915, 23202633, 449395286, 160902450, 974314752, 846711778, 248558489, 226487850, 337047108, 215184850, 659421640, 401446837, 146768080, 534833697, 549587699, 997838975, 578861344, 197858289, 480727753, 995551763, 322650977, 971741014, 755001023, 201458934, 328806615, 631831501, 664451073, 672748934, 232830225, 128771853, 851944187, 485157521, 967744679, 40430741, 639291521, 630443091, 177724000, 277761929, 191722318, 505147193, 198946729, 141402472, 832398633, 527178616, 92380440, 613108822, 662421624, 790637212, 227485101, 295907866, 713931772, 552270281, 811566946, 284378539, 142854970, 507546074, 284240786, 550281467, 694706565, 868546458, 528567853, 874582535, 28677643, 340486485, 722950566, 643434399, 151200704, 834123096, 810561891, 114920098, 864710911, 162657436, 164566062, 797576586, 281785639, 747264524, 585112173, 354890963, 63487789, 666912142, 684735160, 835655543, 221565647, 945081758, 537583104, 58467591, 533393285, 373937724, 106072202, 875676168, 690387905, 811376241, 777190141, 659364489, 412134714, 793074028, 374157065, 210752890, 570999413, 495150125, 424319408, 781064738, 76833071, 702409455, 154325053, 233193189, 71192768, 790492665, 279226868, 836380957, 5143184, 835996497, 476789215, 237092719, 742682985, 394198343, 120369276, 335413082, 179016836, 965999255, 678108625, 109735336, 900174654, 167614707, 365268944, 390655378, 571300807, 790518145, 398116329, 793151366, 136837804, 2539670, 147341650, 416562993, 44864510, 131744850, 267558041, 674367660, 898168501, 157494938, 581623540, 249079800, 273858269, 417273889, 625227462, 353089, 857770395, 726937797, 216741989, 238832234, 436968130, 407604164, 122463840, 482116536, 483602711, 404656743, 323952971, 481005288, 496385340, 979183065, 861894618, 995458091, 970649044, 275662331, 983886550, 41320826, 342811871, 427044739, 577265462, 410945687, 532312653, 770968055, 490244567, 794443441, 826358894, 345609561, 635292190, 713870317, 499001760, 579501478, 638104456, 341564774, 633034598, 752855151, 85678095, 529588502, 10100856, 309648888, 725387929, 336870946, 94914952, 304249472, 211889663, 560024652, 454470939, 745570773, 534534199, 945861577, 187721572, 257954248, 165249373, 195168303, 606995773, 575495870, 814430519, 273645864, 516094514, 525442448, 701695942, 498009464, 405380689, 999063644, 877400182, 140525674, 6116395, 410137941, 926971301, 510607761, 531659697, 149457004, 826394210, 264927657, 604135198, 161267176, 683083843, 603701197, 907249112, 920610534, 306211601, 325474087, 678061948, 483330124, 613940116, 357458639, 985490872, 647893622, 513796557, 987888572, 477563751, 392956387, 864785345, 110883112, 494320592, 327601745, 33436060, 760757415, 36183590, 461786416, 11824510, 897802472, 911992973, 228262802, 478354186, 48744581, 501092903, 57546371, 878976262, 199405253, 262487868, 806299246, 485919334, 748092042, 245997320, 638973030, 981681293, 816162859, 561979040, 223198165, 723279015, 996147735, 200535839, 645811325, 881492637, 205874295, 732100467, 608737003, 127922269, 933548219, 527307475, 222015059, 454609427, 535657962, 142679965, 454466340, 739343317, 795715177, 872398393, 356088380, 368303084, 696883524, 911196989, 520359986, 566307915, 586804794, 706497836, 874759310, 194658946, 210324286, 938463865, 418483162, 850381310, 293764716, 135066259, 899007020, 985807408, 269025459, 937837609, 762588544, 81379959, 756439941, 263900159, 25354017, 878839173, 976323072, 559111453, 803064739, 413216585, 197622124, 484867221, 137564193, 52563777, 901359495, 462455561, 971517174, 335661816, 828351707, 804670910, 714673714, 505229740, 241061348, 465895190, 374455211, 440322140, 585459569, 193811358, 423168760, 616930952, 29633798, 337470654, 469838703, 600181295, 157268165, 902319721, 364327090, 571596292, 729321032, 137182769, 940349493, 312124088, 717873887, 759584487, 174928910, 459751429, 284836863, 660153341, 402502185, 718989633, 304090911, 388129052, 553952937, 987503338, 117236730, 192051963, 256595971, 918154677, 608611011, 347168386, 955704595, 824710280, 276670098, 476282714, 660446618, 494853790, 327045619, 235541121, 490738199, 576876767, 97793294, 33138323, 866595552, 273824802, 895058905, 716463359, 862169038, 985758238, 312354863, 747915281, 91788771, 933204631, 17231173, 753994836, 288591600, 247807724, 511578078, 224093151, 903932302, 142576964, 907250457, 790494300, 569351541, 210649965, 174955459, 841344060, 342196597, 498596929, 469907766, 333100332, 765755906, 39944125, 501541950, 242082036, 631996322, 721872045, 602511069, 807489048, 932539475, 658007438, 842895932, 144365086, 641654969, 814353546, 493788602, 69524031, 43692549, 602613862, 251333769, 416630186, 401530146, 494413731, 632246965, 778168788, 563663822, 536143137, 232964164, 40704988, 577588069, 574158631, 355056844, 658465557, 866873042, 544064421, 156834494, 432510854, 211764753, 697423177, 221304505, 249870172, 487919191, 306717309, 352776278, 286854543, 112222299, 7678598, 962738115, 763662429, 592517888, 744245611, 927649239, 949403202, 914001446, 958261884, 667800976, 143443008, 843388369, 513656859, 699608003, 806214488, 98923696, 662724546, 700463092, 452472977, 36915907, 244942945, 554941631, 103236428, 939879187, 858696270, 347292830, 940043604, 585234113, 696979934, 5028311, 569948107, 155267758, 529287685, 338440333, 924120993, 167535435, 922211684, 288998382, 836954318, 797236629, 188948750, 766600862, 737750890, 624708519, 92443897, 969216546, 48858999, 949185252, 901755060, 721072478, 435306888, 307731289, 225062143, 312258464, 459195177, 38939143, 313806817, 209034837, 819052713, 784890227, 141083609, 678630054, 954448092, 73234506, 887917544, 597204429, 478052826, 273287481, 101191426, 364897194, 183627390, 110499547, 787366545, 60270623, 215616221, 288587541, 69755785, 591889681, 721710022, 474308352, 671655590, 576798588, 234762207, 96625968, 340445625, 630413609, 162212395, 703744310, 416201914, 715820575, 586037474, 261936697, 600386023, 815367015, 20243328, 481933621, 708889533, 515033833, 487788901, 277751327, 191888497, 339866473, 762888236, 895312917, 802821383, 224401700, 394955007, 475106538, 230040019, 416061000, 927990313, 201367556, 179189955, 538699097, 658186008, 454890854, 260467976, 60625401, 116745592, 17997513, 950099718, 417547913, 437758919, 492965688, 560065527, 806777321, 435825907, 916345026, 239518910, 894430644, 523734298, 869617410, 187234156, 129793708, 691746626, 562938162, 645709093, 452641932, 840341683, 666906824, 702964060, 759976506, 177978132, 983387243, 820661967, 239886706, 689033607, 928818317, 511201727, 203160376, 474274569, 228160881, 831176496, 931932301, 345935567, 378177276, 13174572, 218757031, 233842305, 706313317, 977540191, 801899578, 150980316, 856493202, 633536251, 661130236, 616993517, 553355039, 924548554, 411061749, 510990859, 694808223, 39385891, 940517284, 620438054, 282950474, 858920540, 497910454, 550393908, 319960062, 980797171, 381359553, 136069775, 179414143, 480821233, 392796781, 636368406, 942564317, 539943987, 44099157, 243761740, 424812652, 151864445, 927134333, 271921299, 968340300, 454296805, 121666590, 496124853, 420442184, 77065870, 658623634, 271385210, 858709383, 180223597, 285229390, 129081555, 514001627, 88921492, 177260463, 27211200, 806007861, 981988127, 719913879, 810402582, 32292516, 852386845, 684707854, 760457669, 905112294, 776673992, 338539687, 759580947, 745798909, 289126224, 268362470, 930223510, 584991974, 664511688, 664596757, 723722168, 739522285, 128422668, 404198898, 591480380, 2880542, 119425937, 323628766, 445596392, 337461989, 355477886, 487660129, 839656705, 285008179, 557856358, 767310535, 851729006, 141128288, 809353827, 781131834, 537360544, 244268598, 856795748, 319278387, 978893083, 61029908, 224189090, 109978629, 307991966, 104220720, 739006549, 621869907, 588814043, 810126001, 35628041, 493641954, 133127634, 671678650, 536373032, 184428139, 173928902, 252037154, 339153114, 896957731, 615249212, 726699021, 587583945, 117743722, 746897794, 146246663, 160056113, 276634470, 851717117, 618851, 98652353, 77493932, 516504581, 94112448, 677966037, 978442920, 917221487, 228593946, 386184340, 118443591, 375593961, 957961311, 1437858, 740036311, 583476035, 50699495, 230387452, 12515103, 24706690, 396537374, 303411603, 716178286, 349925975, 456919213, 99111026, 960903580, 443505518, 185957043, 991773047, 310477902, 907271083, 15505633, 372369036, 838405592, 862919932, 186225874, 46331009, 897513637, 568915175, 325776551, 858724419, 535905283, 773447142, 37705172, 287977969, 751000538, 567983078, 487950801, 422159659, 424650368, 640043773, 538881721, 269721246, 261224664, 677888488, 491855487, 412243291, 270202924, 558039042, 864475926, 784879337, 993215045, 913884277, 836038613, 707237122, 925524276, 186799349, 47619720, 366946396, 291401517, 684287779, 725367828, 731742623, 82243475, 205424073, 359622053, 148553983, 936464576, 1098689, 380716709, 378033389, 584600222, 396683529, 985411268, 854102224, 641087499, 36635607, 669942704, 117497428, 443843639, 699630270, 20303357, 605384525, 936333738, 319613328, 216796463, 71243985, 59200569, 325823903, 244079104, 94208773, 130883823, 805617115, 53964385, 368589820, 651526398, 610501991, 681619336, 181734832, 416436383, 915878567, 874044478, 729702324, 787210389, 511660626, 466465683, 113886202, 397586408, 797531776, 648208849, 728774458, 374298099, 85852925, 638734278, 750819466, 200121723, 807606499, 238006541, 749238872, 136182526, 763232831, 267391200, 270134859, 340087546, 565118491, 884455051, 833739397, 100418947, 817002980, 474533047, 676434764, 267917440, 703437346, 703467485, 308875632, 132849841, 637936875, 14181357, 29987693, 180663210, 608355256, 237449539, 83531966, 298073011, 525757374, 604600660, 476953818, 147204796, 309967479, 826587509, 9086469, 984511323, 721871330, 906842313, 809650448, 609996470, 36990439, 803739209, 512837785, 415887381, 900783914, 358684257, 514751889, 183209872, 21234562, 385660424, 480144446, 558064465, 510778989, 174792593, 264334668, 856458220, 935049673, 443915509, 951866318, 664583058, 744511156, 847910721, 824484073, 330715796, 923758850, 55828758, 108607391, 839835935, 925367290, 411251887, 55210749, 440041103, 989524270, 888501194, 625274090, 316082839, 46972852, 434252517, 898248640, 700684603, 885228564, 368694975, 121045111, 777125535, 898111360, 692743907, 448928843, 768007627, 348005504, 887334858, 936415761, 339272225, 535158982, 956689663, 780509769, 808034045, 499737629, 892827683, 488180082, 555374544, 496153914, 654375306, 48295924, 156417973, 455910670, 530273261, 590002094, 875016621, 927281809, 517893901, 601780039, 296517546, 768006117, 748775812, 875267429, 896470491, 93185076, 722494489, 653128012, 340280627, 705861341, 977478912, 512912195, 726075690, 571018123, 645744775, 350822496, 749410761, 610472518, 851631353, 138631445, 333581651, 850443766, 198372728, 344790137, 604446814, 65710161, 417134049, 750033273, 37139437, 44176111, 981815447, 302324743, 220372398, 875964815, 582566028, 966643287, 373080434, 939211651, 736334842, 40949669, 302487963, 624056101, 404109380, 539118036, 855270666, 341220053, 411211944, 634489140, 723842173, 727441754, 313747582, 857389241, 313742185, 105577620, 267064832, 907743407, 565542217, 522338688, 990157842, 949504855, 401282858, 68463666, 355543899, 649978993, 256137682, 825723459, 803158935, 912416932, 863092670, 789926902, 225427715, 501547264, 468644318, 165539390, 217358812, 824820456, 944572216, 212174546, 89493573, 462367199, 491164930, 301848559, 787231084, 650722612, 46049897, 352007546, 852788767, 340276454, 943637168, 864666873, 556910286, 956013133, 217531078, 980394246, 166473930, 281393931, 945519808, 885157041, 11861436, 134575889, 626526530, 778240402, 775207440, 328132011, 829723298, 23066448, 205253267, 698082411, 492404285, 160369868, 354817921, 814598522, 381584360, 465639554, 289902284, 744489193, 338181246, 719767604, 573314583, 337021764, 463563487, 90784936, 895513103, 58409912, 469135882, 323784003, 542359488, 971972260, 218262155, 564512939, 752878007, 143002295, 960071148, 860418237, 349016289, 4388370, 162147717, 684784604, 489860987, 102599577, 437727979, 457568935, 955121200, 588419436, 259141549, 332716, 492587822, 747979184, 318665488, 228987526, 105236998, 197231672, 351617291, 959259748, 741403502, 176502269, 952156011, 406554277, 252476480, 944904677, 101267021, 786336679, 674562742, 242784304, 495116047, 361367816, 220689501, 218253452, 246101813, 749345920, 722397722, 160811903, 57292793, 961934566, 882084260, 663082460, 390016552, 520002104, 102410022, 41742954, 696768254, 910099074, 874563218, 840237424, 131929166, 905105487, 331480514, 558121571, 768482517, 873071426, 682799516, 534008870, 827714146, 778494456, 386017605, 551372532, 869503131, 857592387, 435976563, 191474826, 325193834, 727787966, 107651600, 125561084, 410777474, 352104142, 155392630, 649671596, 307278536, 391888965, 177006913, 641932381, 869943628, 711973151, 430627776, 404986977, 953659476, 970691398, 178723365, 192311034, 273563836, 208253301, 292329925, 489761656, 278992191, 654909761, 579258214, 174499229, 163210971, 593375104, 190773194, 517849999, 99289257, 99554951, 789211939, 596446657, 411365930, 810029279, 893545475, 642714048, 562240688, 46094743, 444755263, 670176910, 413725557, 463480103, 675096037, 23503169, 397331272, 685443593, 959348099, 749922846, 676184779, 60719168, 749776462, 438640896, 842372063, 59780326, 216878392, 559099556, 57686034, 579811283, 871270469, 153792519, 728608349, 847838722, 90384765, 137080005, 909918201, 751077056, 463733752, 578966937, 585238055, 577733505, 544320334, 361305552, 694017685, 133370459, 63628776, 872376524, 199436454, 374551570, 995038692, 721458493, 97167871, 860484640, 65875618, 179314841, 735934376, 700590851, 748312149, 350381457, 547964540, 928059089, 663485746, 322264125, 655780519, 530546490, 676706629, 415900114, 978103944, 894413333, 754129870, 630545791, 137277236, 224575865, 939767623, 146259623, 770831093, 124553480, 250846928, 168498993, 289498760, 808858396, 525490268, 667423982, 540916603, 878556124, 272992855, 399306120, 780183434, 564400665, 635207512, 457397568, 825185501, 336044533, 24094228, 142907410, 495139219, 356888061, 762350606, 477917408, 287806547, 603146684, 134421804, 519386883, 865023624, 599093449, 485941259, 937602395, 639963617, 407313449, 526201982, 905458846, 714280305, 382910159, 701535498, 235518093, 262234797, 205882687, 408110777, 994079112, 268592694, 922248037, 152484289, 718986420, 662557311, 113842057, 708094944, 408296353, 713453993, 931022751, 299418649, 475853067, 599215234, 39094516, 907485430, 964850332, 531148951, 107476550, 713948, 324605075, 575937511, 351999867, 214887437, 66804314, 747910483, 77242871, 652108904, 293267893, 34246068, 524538259, 336737201, 324679467, 712557086, 289843069, 249106249, 143409680, 160223741, 554086317, 352030842, 298888363, 30968832, 541330494, 884073790, 190008059, 71057448, 318224772, 68901930, 889425019, 449147331, 901243108, 330166455, 872589082, 229424621, 82421970, 359634740, 67604175, 974159378, 718461121, 713542274, 910459307, 481834314, 218763014, 380436427, 745582726, 198306429, 823161367, 14000382, 988303330, 408122013, 706349653, 693156952, 540730052, 330255645, 645321969, 27150520, 364044782, 639327587, 726268997, 937275097, 241349772, 92200588, 478846801, 468988235, 461762776, 496769421, 449163284, 142632762, 487237244, 651858511, 940515597, 824962912, 346141149, 226917770, 713714141, 481004676, 987922215, 959343724, 993680820, 810986829, 168275603, 34399705, 231433982, 184479858, 440253733, 54476505, 986559477, 392936445, 875455030, 439209845, 828368642, 461734359, 442892213, 568602268, 524108624, 811642473, 350689815, 847266071, 730289534, 870925457, 410586674, 33199834, 967726298, 829979267, 887232351, 118027885, 762829429, 723512770, 538296655, 88253348, 335879847, 2904090, 163633211, 898306117, 716694484, 237441244, 46939906, 19002488, 767676875, 894352157, 726064836, 845561095, 739253713, 521959008, 964127762, 30037020, 960205677, 121961735, 831593954, 274453232, 501778405, 417797251, 59176691, 551219661, 393084728, 329899986, 591596330, 839363476, 480377495, 984783759, 409181085, 923753053, 820210959, 624500746, 931096459, 767275910, 13900732, 615821497, 891118019, 125870491, 338627450, 586916442, 292703732, 177864296, 574733295, 224925888, 408706746, 946450900, 30302846, 683231539, 546480227, 83410541, 681778989, 955482500, 9949245, 620565845, 790120007, 264818989, 357524417, 351392217, 475927471, 175949331, 641148282, 149275188, 61408659, 461881854, 837951554, 833974139, 756855876, 109414169, 540622198, 319549229, 530860266, 586462305, 706067535, 921964648, 940788567, 456125081, 972250045, 109740609, 933157941, 888055385, 267279281, 116395324, 478657743, 504110404, 870196436, 711470277, 871972143, 932163534, 125115940, 751204948, 286963619, 975953504, 72550255, 363331558, 973500155, 330419827, 941886585, 168342153, 692384075, 465908886, 534005141, 531557978, 135795459, 834935616, 852657115, 570093057, 945000636, 964041726, 86957005, 215333323, 502949469, 278809539, 483753449, 191775788, 174024362, 803642703, 556352449, 706224631, 687745682, 647471363, 135165561, 10300062, 637784478, 405218651, 88629630, 540991074, 100530980, 153195331, 181675261, 435553101, 58872767, 729092778, 125103468, 353681232, 676080438, 932831209, 90416428, 553061406, 37226913, 610905049, 571867088, 602383310, 376483950, 300925946, 608111340, 883827204, 67846577, 61989463, 389922849, 58292967, 50785801, 447899096, 407449350, 395843881, 200964428, 253932131, 616563449, 106496432, 336243655, 993373574, 720142491, 178236831, 957784024, 932538121, 101107948, 747299417, 421576476, 471781264, 304187784, 580184990, 288751535, 573724510, 911887168, 267041855, 767926434, 250851337, 405205435, 742957197, 391701462, 402483860, 462692538, 452388646, 312373999, 347046570, 863315058, 142110637, 235438954, 405151476, 831334205, 212159633, 983880992, 353832172, 431554988, 993957909, 347861913, 654506818, 336083146, 113742922, 965094514, 263867673, 463436495, 511167182, 609526674, 941119117, 958864833, 340167656, 750867109, 974219699, 785418281, 225935008, 18172388, 550556558, 188053919, 475572540, 426371017, 965656491, 902347847, 576445396, 358080328, 774920485, 417680488, 555672160, 368092074, 366610396, 331668181, 805133077, 191427328, 957453885, 320686945, 995201927, 900098043, 367240786, 923485763, 430449133, 419823767, 164938893, 355234076, 108593712, 342205853, 302838566, 886662788, 149914307, 838689790, 6899306, 851014611, 49205671, 483660648, 173669724, 430043838, 93501684, 744091571, 402832286, 560567723, 792191645, 704538967, 501874340, 581374908, 728695650, 637749076, 775088276, 315371698, 63971611, 299287553, 307149752, 971765536, 469903501, 346391566, 692022360, 244730485, 87149859, 625233445, 690585636, 469853641, 263166006, 459947842, 130628479, 146429460, 550122791, 530608340, 789611608, 117052679, 171107747, 460212768, 763920950, 102954561, 373837879, 869959149, 692467097, 130818409, 261313152, 270886613, 824403371, 418505102, 859730620, 376441024, 30257350, 436252459, 358258915, 629362375, 36932783, 917038458, 483479565, 556484004, 652638016, 71921896, 113608835, 378526933, 405698028, 930125746, 390241864, 553178507, 920726356, 872872366, 106752417, 848516696, 299734955, 217130551, 442452874, 49691590, 968175512, 730262413, 732039187, 318911413, 653642455, 783363403, 415268734, 615422435, 740586116, 724762423, 691071301, 205120761, 534659341, 304312622, 66276133, 641902157, 557406376, 808832859, 622939599, 936532125, 154870070, 327649878, 369793333, 682350487, 642897774, 512279602, 285961092, 445114343, 619383768, 610714514, 993079477, 204526851, 824765407, 695517898, 645463052, 354616501, 770438849, 236149706, 916366240, 111777913, 434882424, 838251761, 687492370, 216625131, 730287997, 92069042, 363606817, 676695197, 617227839, 840521104, 977833451, 541879416, 94667487, 923403815, 95115045, 816604230, 921843085, 222012565, 367746625, 859798472, 953618058, 127948713, 915646585, 539083065, 553232558, 209406499, 692954101, 876193409, 12702356, 333191596, 921084609, 350520341, 643157091, 614128065, 381820500, 347552043, 32844668, 301794311, 903403585, 984188097, 766973235, 938947910, 48330723, 791034474, 519321054, 304666504, 290021274, 697834580, 871666023, 52038838, 935928833, 481315149, 437846568, 269532320, 932265961, 115832901, 452960498, 143333103, 980419399, 319023901, 481512157, 472534023, 642370669, 135073111, 36986179, 444704594, 859586185, 103737554, 360338761, 973833557, 299246165, 36182655, 55550106, 682305996, 390655950, 9346371, 761993235, 760784308, 666058985, 593787872, 947944942, 642890446, 326862692, 135459953, 255358261, 743987019, 592825969, 165143041, 380732297, 897121981, 193511364, 914042875, 113303771, 707876468, 611999702, 747503991, 315020105, 718190068, 559368988, 394054521, 887972607, 294122383, 280878529, 719831019, 818528577, 119676512, 300293568, 834117428, 471323286, 72243326, 573539621, 232962336, 496398255, 419895290, 608304925, 103904243, 656411364, 254897755, 246933793, 483720377, 784422670, 142155089, 149656113, 391069583, 376169958, 152100808, 694805519, 334346360, 854314170, 155012609, 719519820, 515298325, 627127627, 505886089, 338407543, 30325757, 950190995, 509305783, 796110423, 746972285, 609249120, 91942846, 95470451, 821395913, 508743746, 980516336, 884723944, 999592596, 280045901, 475045621, 27782304, 285162738, 99843273, 91798488, 994791734, 522648305, 2091167, 288416071, 212747442, 348353112, 960004467, 723209777, 282519702, 196159760, 975425382, 223626142, 720525367, 471983063, 512977026, 230023446, 992480709, 513456072, 496617754, 875333342, 525927045, 723163386, 487201443, 531737172, 649154727, 396311326, 903871828, 347392116, 8779206, 496748095, 278273546, 585448909, 103331224, 64390248, 618856147, 944554705, 288260705, 797042585, 634923394, 629311785, 746780830, 332922245, 89164883, 342246264, 152138281, 220241908, 69306352, 441285871, 583782110, 664583895, 132544023, 402828425, 384069007, 822418413, 447790230, 647632152, 674888133, 383487471, 683273470, 382263639, 118452292, 583584334, 46995171, 79923725, 119114783, 480764150, 166523257, 679815895, 759519630, 66650446, 574630944, 475038918, 830659756, 214906641, 947721513, 875895129, 776702842, 198625247, 890461317, 986592550, 595987024, 819564196, 84029497, 855139209, 192219946, 566168710, 343155858, 247884967, 157402139, 114261532, 75269476, 177317304, 661191748, 838053628, 362043788, 254087181, 266697393, 683386967, 563801051, 445172833, 507277809, 631959431, 7832234, 437494326, 41699744, 8429419, 775159428, 853798499, 95240338, 936590705, 932603036, 840289958, 109081437, 66990917, 158206518, 862673170, 811571724, 766373911, 210439510, 161187506, 546809864, 968493540, 300490507, 411385066, 482189639, 130536611, 469841880, 736816813, 674234620, 227959297, 737118462, 223640052, 740242495, 285141256, 225903761, 415126490, 202609566, 162951567, 370947887, 408428060, 558693280, 462733663, 721559283, 707420434, 376916167, 522655906, 637303809, 981038803, 877096772, 117209946, 191212390, 190233199, 965322968, 832996349, 264605963, 320960512, 261980192, 76721305, 282926215, 762913098, 59024430, 675712067, 292530078, 639448741, 780461154, 17799743, 478769669, 332785694, 474152255, 312867677, 755954873, 904072508, 307677182, 879413159, 691077253, 700688768, 847137441, 603362041, 920121916, 441249037, 258454613, 59719194, 665319296, 175276771, 314848168, 418676214, 398298773, 722256430, 354395239, 507880640, 884321085, 104468848, 102755235, 38886682, 417693225, 895789464, 474622134, 48418158, 815870536, 17850671, 570616522, 953636294, 374986785, 902856132, 883668784, 255039593, 219007321, 270192034, 471651372, 875303409, 812689410, 403991984, 71836709, 992410402, 563518033, 156428456, 51828467, 941702580, 207006561, 529209102, 542008523, 991799747, 643664599, 43846765, 96603475, 83983597, 896220491, 572160064, 680915426, 604365054, 466758993, 593530461, 478428327, 433245446, 36462308, 993296111, 775109977, 929577560, 40806593, 90816121, 455915738, 465019986, 394100358, 371546494, 815092541, 168098707, 942733065, 694450779, 355310759, 162903280, 504057120, 244996046, 475819319, 816147936, 239275918, 917935884, 897366406, 702681770, 974726920, 774647791, 452763862, 210540693, 656700675, 108871711, 214335262, 88596601, 588986433, 645047084, 82476340, 199242641, 124134192, 944813384, 482170399, 554977641, 357213889, 45250230, 253805984, 133961647, 3034497, 746553702, 264774880, 439194209, 292890505, 566855757, 748626057, 273679971, 31761046, 821841090, 369178731, 441590356, 567752315, 921394127, 705155434, 81370654, 25097067, 975726055, 129424508, 275622690, 531167879, 863524506, 873537340, 482550244, 526785941, 450879609, 477726313, 965710424, 286335041, 806291988, 761430415, 149500683, 252617849, 337002327, 601367881, 413360246, 759615826, 53513790, 936115918, 198048168, 485858352, 857172444, 538796204, 749765900, 861126019, 479889684, 484936453, 196284165, 145158828, 995453133, 793956647, 444598597, 645060430, 717554538, 455617892, 697882760, 315963126, 74398452, 504534005, 870538633, 16426812, 335868820, 833093242, 999610523, 687251161, 495879176, 3802598, 970914516, 799349234, 253498109, 673753576, 267407538, 390799013, 116595422, 896550287, 600516894, 982473562, 95430406, 162939278, 933664124, 499649089, 18035050, 165263999, 538359076, 749971678, 216302378, 808656252, 411146853, 616873238, 296615860, 303505033, 64527878, 710114099, 782045538, 915972561, 874433623, 687054739, 260817048, 948139455, 785771201, 932549940, 81630851, 116702704, 234913324, 654454209, 760727327, 609738986, 392807850, 45532224, 725150352, 315128517, 869198295, 846768992, 313431114, 803824950, 997125135, 908412004, 361516038, 998350524, 121126451, 689628403, 934308129, 935864778, 286719589, 477154288, 831226268, 922908419, 976645133, 461654187, 434048188, 366633001, 528582759, 877679486, 83810237, 643112827, 90999081, 930528959, 653095466, 784667694, 978419973, 922633477, 455591955, 450215356, 70449071, 138793900, 826565005, 723857787, 327281216, 652222150, 753091372, 166014330, 292484429, 16141882, 125757988, 314660292, 8194055, 459520505, 316517810, 203781853, 809922118, 146631601, 105299794, 851779018, 147038075, 343910194, 651006378, 577143252, 352627678, 857392747, 709842604, 934337802, 275549844, 314845906, 295703726, 995401899, 673591732, 103411560, 236004872, 994802740, 528963750, 593573531, 932612912, 876042722, 55003605, 796963851, 372993958, 782722757, 343243319, 810442165, 276141994, 323605465, 162699557, 289469366, 481069769, 834781892, 882141650, 189684550, 993125996, 798052985, 44361245, 528732646, 775095424, 496071609, 416444069, 398338605, 376566226, 760345224, 390666561, 935016739, 654743570, 439949849, 367020355, 757884498, 298478949, 511663656, 25463811, 642230924, 456434174, 948309208, 786631161, 711608471, 904969979, 499185390, 535765291, 552890614, 860756772, 425952074, 543816741, 363319716, 705489176, 584368481, 620176873, 388081449, 722885536, 263095528, 389438457, 332164422, 710152719, 976576766, 350595210, 380901378, 197024537, 714741598, 273213370, 562564828, 849955523, 858639924, 95420942, 557135877, 878229437, 942979103, 247269029, 925659590, 974306787, 39547588, 279560832, 896677376, 6200505, 760350285, 715280178, 578755324, 734130842, 298139533, 979831526, 352317493, 416091835, 304769074, 613373698, 719589737, 607513253, 524531724, 74108970, 266978399, 842987730, 235207216, 186365861, 375162204, 505561304, 993821990, 443287488, 546019767, 76544673, 3694195, 991002912, 97952223, 988933148, 431408943, 949514676, 428417391, 917360943, 92154208, 584167529, 200365270, 90564009, 822547865, 571445673, 242407744, 499787483, 554436502, 952364195, 842911495, 75618905, 341510251, 491556807, 721417574, 384820700, 196756367, 156808749, 587223283, 696995226, 758605056, 433902813, 975732458, 56853317, 626317733, 417675097, 916754614, 998449585, 193141822, 643489308, 667136896, 338942872, 69766673, 5930427, 524322138, 414696991, 540112988, 564299726, 586921007, 588438167, 868452404, 678829619, 337915554, 469187062, 714295457, 276308105, 769155547, 99177763, 767168097, 552406844, 269131541, 178983653, 538004409, 337703358, 955673018, 600194391, 249179066, 521782063, 573013201, 222850241, 584145008, 306182660, 981157380, 940733861, 378151650, 634382909, 768050276, 312246053, 759165582, 37022343, 645804949, 592537776, 822940513, 467941774, 208154530, 974223573, 160318130, 361467995, 433208664, 154165101, 52286020, 779095963, 857356402, 581689499, 810852308, 202511234, 622589413, 186979287, 92424521, 977650565, 102442640, 2886749, 78857208, 686677422, 785764223, 623387940, 695683396, 41120054, 822140092, 495657403, 625194029, 463546285, 273534112, 508002633, 706695015, 591811777, 210827397, 155645507, 143475711, 974496796, 654136417, 592524815, 472457812, 972769287, 180138585, 382823988, 169792633, 696903231, 804812814, 819875911, 997841631, 175584679, 465107020, 125666612, 835714854, 958151761, 276752114, 776566811, 783180384, 441050856, 872921800, 231487404, 938773255, 440066634, 930810015, 514413360, 366867759, 270231125, 368513276, 174078729, 436525318, 402508891, 919147709, 944289463, 929475235, 396227789, 795062890, 576668621, 393878710, 584076187, 482757608, 607893961, 641555654, 841066936, 986182872, 813285026, 857724688, 834126817, 520433564, 119293857, 727581763, 279192420, 199882868, 518696469, 662879347, 593242050, 452080726, 394023073, 526647760, 388429795, 426047373, 665685254, 55115900, 817046145, 109119925, 558242467, 176101769, 368352878, 250541365, 417763402, 537570305, 955685886, 355392052, 385790335, 962129471, 770302513, 560720023, 609577227, 983848094, 531409550, 41047623, 946345407, 572553063, 132122834, 292158894, 118754653, 4149870, 412846221, 258836547, 126039366, 383203930, 6796577, 939906175, 997996295, 645686358, 232971909, 891865285, 4034339, 430213362, 747881183, 113286110, 350716338, 609796395, 586742502, 287815818, 4230182, 688022162, 296075562, 921011252, 34240152, 374178260, 8159874, 109570151, 865084368, 181994972, 975375220, 955613322, 889958973, 623347780, 195904897, 14958398, 574931204, 156982050, 489423194, 129557622, 991458202, 732585446, 251043815, 771270974, 681895933, 857811983, 676567238, 3097996, 91719800, 329753993, 522333227, 310464743, 877366026, 410984325, 14595964, 334049467, 49195689, 522313091, 428838379, 17854638, 610753584, 514181307, 312944670, 269085135, 54194558, 627781753, 321532652, 528426487, 46942454, 250203079, 259140570, 663289153, 914643032, 225859315, 894276027, 915380332, 982242293, 591776122, 271018639, 611743802, 171878840, 364998299, 177724413, 90732649, 81281864, 477856251, 454072288, 537719066, 744384180, 606092642, 513417077, 871418600, 304004310, 325036021, 602982270, 307224431, 707822043, 254091028, 501944059, 135684519, 875645439, 476992242, 817898318, 467021057, 59804257, 532060640, 665084356, 215396346, 455276267, 417703908, 695958537, 685067522, 157585765, 684630870, 414036208, 440196852, 779248519, 481027446, 816408870, 952937215, 232048546, 787046555, 168582340, 479631032, 125696569, 630188299, 708387614, 31239594, 974726978, 274527663, 198260181, 785556377, 735140954, 507452817, 543327024, 313279441, 712708378, 457320815, 677021166, 284594478, 879657188, 959675606, 751972215, 569374606, 384846190, 76542388, 962456713, 556621671, 868532328, 452389609, 647956086, 271881012, 134921627, 656468079, 274694889, 796767691, 296837005, 740150965, 255270180, 899253388, 939426781, 838133211, 823837149, 268223936, 339227977, 905710482, 286823478, 303538370, 603772768, 262913356, 418019920, 453415220, 822835319, 3124317, 770707526, 479553401, 430946514, 190583300, 456602747, 938619278, 301198120, 566936031, 685517372, 943801760, 109923305, 605949025, 325505201, 376757144, 765649422, 957759072, 847519727, 809848877, 639961918, 630644733, 587286892, 528101067, 625081015, 412337436, 180386843, 918440275, 226849931, 439182886, 961940848, 312525222, 190889187, 172381468, 389894064, 621497906, 821232248, 510514463, 890341854, 548036570, 644790666, 875365567, 731241980, 829780934, 713211388, 526859586, 778123021, 259277784, 96741518, 933012102, 236099662, 721606256, 339157051, 350584452, 968523318, 61049860, 832186208, 892821331, 204689146, 331272480, 933104969, 281112254, 274196262, 754339362, 756871442, 482552290, 41097325, 628258476, 465348374, 739764845, 988677796, 381408145, 75782622, 700892704, 932856464, 349808123, 223758003, 210252644, 566212004, 28438325, 31834613, 660506197, 797004573, 635430673, 11119677, 700534104, 897086419, 724736505, 37271464, 599776769, 148621065, 958373480, 961993036, 18146025, 54519258, 498293652, 408057042, 819200077, 932331585, 786967943, 491975159, 497226350, 343441994, 590230083, 26177683, 666154709, 913358944, 262101701, 351134477, 804009871, 333520286, 103285173, 153110533, 637242361, 206055802, 42645631, 248322065, 975678213, 931101188, 251057161, 324717763, 607954785, 820377363, 518013815, 451900852, 527048120, 631158748, 275165154, 764042842, 278891031, 526592508, 543897975, 111037400, 261342810, 47037143, 442725126, 199331953, 660472028, 690516812, 368615179, 806291129, 481710353, 684540763, 953953277, 205173399, 624069672, 522193341, 619594068, 173921214, 223759628, 294306357, 636714903, 98017507, 774680646, 723016996, 258602386, 259711945, 433552239, 37612808, 22042910, 475984449, 748576708, 221701566, 670896994, 23837075, 382557702, 889384298, 4937259, 135223808, 612801996, 865249086, 74439681, 865204625, 56129472, 611696858, 209228491, 751161708, 519027054, 389010329, 134883328, 598204163, 431386320, 493512629, 46131676, 872507324, 746028154, 801065926, 769825996, 847646184, 171521083, 707487003, 447058003, 935097913, 395727947, 961335683, 366349083, 526139715, 736457475, 339409975, 919630097, 403438583, 688599823, 134335244, 204901187, 30294971, 200942475, 310021193, 28650179, 518463220, 11641775, 983890781, 659294422, 474058710, 295039554, 937283176, 688622304, 152835959, 687195814, 618571664, 230153374, 744996130, 107115298, 244308641, 516782696, 706459691, 540704208, 744474601, 881019507, 180140830, 417837567, 990784838, 597290370, 506981205, 319513496, 34557189, 90120658, 420999518, 137586474, 780238388, 83697066, 195344546, 603929915, 748804351, 36448383, 205318022, 680356832, 187533905, 666656159, 566871037, 234245445, 186969545, 527845487, 115955, 605854765, 181203442, 800869228, 494849913, 941335441, 735501857, 440742807, 80398541, 388107936, 503133297, 3197515, 977173090, 948197281, 866149030, 890336241, 737596275, 239635358, 763128793, 464260133, 34597222, 964315349, 966698994, 550837991, 975100395, 482333357, 670852629, 606619048, 136457243, 257228789, 673786956, 719476553, 255045898, 434789793, 444366287, 33716053, 677384030, 531727370, 799307461, 766726992, 868268592, 805286845, 72495250, 760160131, 22466245, 614423273, 642394171, 450064837, 993072964, 602744724, 751187501, 254919657, 596080075, 725099497, 187626331, 289529676, 686447514, 59030443, 617579753, 95757627, 255926332, 430369520, 421793393, 153845646, 691709934, 816021786, 610895947, 140851285, 939394708, 28437159, 145476209, 958148237, 559758662, 848249845, 921372382, 702243153, 555134166, 656801764, 897738223, 203000159, 390106757, 818710121, 685271237, 820221118, 348154174, 769008365, 756086965, 711073105, 960711921, 251585986, 539029627, 942889107, 479045202, 797403137, 354064939, 18609673, 360608350, 221907315, 860590850, 485044445, 160630607, 282451344, 972023571, 595221899, 324405145, 768928757, 308246831, 537466560, 457078115, 341280099, 732827119, 827209551, 365284460, 957146180, 534142839, 682828334, 775037956, 666998442, 502363463, 485545469, 279132970, 336070178, 949728800, 323652840, 755751018, 681927740, 183035896, 704675063, 600718620, 283792085, 914050916, 669799915, 639358090, 965856421, 250151927, 8772769, 214268657, 616964115, 594064258, 688802527, 458847668, 446003312, 570378651, 797270856, 300864262, 253232240, 659497774, 868774917, 549100110, 524496549, 732181914, 173500988, 670667595, 869665063, 603547692, 926926, 914429430, 272748408, 268355759, 597576430, 718987854, 936361271, 391375997, 499825952, 973019958, 181675125, 738481588, 205268467, 291872837, 739022275, 149926094, 263717232, 168178914, 712859476, 762894829, 21112388, 771540142, 913718864, 35967132, 990282591, 235895331, 80891970, 45765177, 867665261, 676387447, 110434464, 668459812, 915840473, 974456395, 955804968, 530308455, 421293578, 338752716, 179945203, 407873933, 230148297, 372248231, 390495586, 268984781, 22278233, 642690544, 916079713, 836434955, 305638684, 62126415, 912864197, 179848353, 489565849, 386010553, 743838764, 754482035, 129036507, 2498307, 78943861, 829277865, 892418677, 813082127, 414516241, 610465301, 409230647, 120925686, 827143102, 686232368, 38546949, 939685019, 511868195, 136316668, 774637573, 143850388, 73013809, 213445303, 765917163, 757061965, 474802205, 753082880, 264023107, 473227731, 929298070, 833859926, 263036402, 768522445, 609588007, 664900084, 369443341, 283111630, 20417587, 840901619, 54231653, 859992222, 615364247, 720624878, 187583154, 582608511, 565906775, 44883342, 727169413, 819523610, 60260068, 768389783, 132575818, 782820229, 482896706, 882701726, 981861980, 873495995, 168773289, 510531831, 774687808, 205086306, 237147367, 233084474, 487412049, 231693497, 35063592, 598909418, 937999060, 958267583, 978295086, 716854435, 229929979, 25331989, 779100581, 991205270, 486940401, 597366968, 155856079, 729535814, 220501769, 923414583, 294466901, 559693808, 208462182, 516415494, 235193270, 578101207, 956864089, 329917509, 19053583, 685764829, 780838801, 249194407, 169210087, 67464814, 382394634, 11756297, 258526064, 203778532, 987427343, 960488911, 566353928, 688009974, 873146774, 799138281, 367264497, 993571830, 363443535, 83238653, 726862939, 923750727, 480371563, 174296309, 753164267, 323409712, 95686228, 169305287, 129361246, 414172278, 452318191, 793485050, 294885095, 152712538, 149484478, 255793961, 681610053, 946620266, 446601418, 134245316, 369299767, 232496389, 296763292, 702230830, 670344619, 124485348, 173508040, 734216183, 942535356, 87383407, 706164124, 372861955, 793927526, 561482241, 715708749, 620079710, 981762816, 465547587, 11018605, 19767265, 220855265, 111168400, 257996380, 309097972, 406161058, 636806751, 972498898, 306759091, 978872603, 944467315, 12661573, 278338376, 320268298, 909105388, 72624790, 290007253, 934232102, 837831850, 303663759, 474769279, 697532180, 584422801, 861530836, 223507490, 427366996, 964080498, 327638807, 827986187, 979939560, 902855506, 704120104, 560066393, 147271314, 675214855, 691992468, 681900825, 834186625, 365361207, 364497972, 667189316, 682860146, 432159145, 132386673, 554485194, 240482790, 664008582, 458369883, 989281128, 179226460, 431624525, 91645563, 152686868, 758925700, 567602475, 449287093, 414186515, 727135078, 932148828, 290999326, 551556274, 116532166, 455769405, 545681621, 498217646, 488087820, 41031618, 604286578, 780370464, 154619658, 198231676, 383279611, 486181060, 881980584, 228616345, 932123600, 324912088, 528081057, 186660967, 890806377, 19188082, 373949309, 869949676, 878927671, 723754130, 532192038, 731046105, 559709999, 946873598, 556211195, 495324452, 440309506, 436174680, 785162269, 231370732, 701815684, 343032512, 386287194, 631927650, 978095954, 622122780, 855426535, 275014465, 825824457, 937368088, 358875310, 65969834, 510507901, 484539030, 725045636, 25686682, 267525123, 716564742, 39573811, 833200653, 283186200, 426512798, 912293816, 559483085, 456625205, 568874573, 35359450, 183765097, 123674607, 87069097, 85763087, 662360684, 326160611, 624473049, 13569885, 828763412, 258898445, 164740308, 289527924, 858492882, 834398355, 146955650, 168187128, 823840138, 504833323, 859411286, 259357026, 412422633, 9147708, 412560843, 302327744, 76984845, 526036869, 56513271, 906859970, 509858699, 552911684, 781866379, 55407333, 693439682, 246276549, 235415042, 652515306, 946406977, 330987937, 651551277, 116597111, 298285907, 97164926, 493463647, 953102838, 406718547, 491507539, 159239270, 562860256, 388941907, 292138986, 787690527, 468267704, 470288309, 75073453, 437842129, 832258914, 184816169, 432407364, 86244669, 140571080, 829751935, 619408107, 611561131, 210981242, 743430369, 792628340, 607392285, 856655501, 85832159, 164852741, 681570229, 639025476, 119131938, 548766570, 316351484, 149383612, 417289650, 356524025, 739236545, 959878008, 724932776, 697290933, 949081786, 25817246, 265607051, 329252196, 795222990, 713599530, 660142994, 278230173, 120397406, 965534996, 520962850, 885014371, 74912593, 972619866, 717357351, 108494954, 959140949, 512463327, 593155902, 221144115, 783578143, 411253076, 84856884, 492123461, 622314257, 667293418, 225178426, 784815321, 917497793, 257668865, 627928571, 936122338, 954161688, 908198224, 542376519, 64835017, 509819907, 59918286, 837037758, 646564554, 610161322, 39725718, 5920405, 90981425, 118778082, 166764935, 281025610, 864576952, 169264401, 80661029, 959548482, 84561787, 430204757, 406161961, 182442904, 524166664, 250907368, 734209044, 450184782, 664998723, 900872658, 212775663, 156810902, 445136947, 53888129, 593724904, 940952365, 961676430, 654921262, 212433632, 123598427, 914919615, 776561755, 574880577, 329770150, 235454763, 956516639, 238069495, 837950049, 387790443, 582575429, 784546926, 843336310, 323158530, 978927673, 274849627, 693213033, 276444121, 695634700, 553419910, 352344236, 115123159, 561286001, 450849699, 764258746, 688900337, 919694336, 93831335, 7871929, 446252570, 265539885, 663999910, 769666319, 412493231, 10275649, 185928089, 574447495, 746936443, 655387690, 225621260, 33626325, 537046001, 461141994, 211694884, 36147225, 961358753, 646629930, 941907998, 80903034, 227738374, 942820193, 382080750, 460359487, 495374877, 93447711, 384645003, 689172601, 186717547, 367563199, 836020663, 565502006, 369499083, 917111870, 127629536, 432796675, 211863243, 470057627, 694288694, 68193476, 529978529, 678985771, 399488719, 783649245, 212378386, 10387746, 768076633, 100232004, 773439854, 126917990, 115998412, 387479229, 49107686, 271021538, 636228886, 702710050, 712029214, 739195587, 594501397, 675502851, 469411023, 283507488, 273526398, 769055306, 244556051, 823989136, 407381796, 33036596, 355954559, 468952495, 101297912, 881399567, 549557262, 101573349, 541712929, 685921078, 204701566, 436728694, 759817136, 47202490, 365296404, 533527126, 242574687, 894711498, 924049819, 142093212, 328176832, 593796832, 124040798, 602654682, 699984559, 412880968, 534776659, 341864782, 707944727, 359392061, 374098408, 486575505, 994993113, 932557553, 417725805, 336306419, 545689959, 717391394, 5705780, 265765397, 988265621, 148287949, 62442428, 892605647, 613745851, 991785191, 893459725, 172459006, 386532532, 321047614, 6517013, 763915066, 328865461, 931618436, 745183281, 580651289, 438015163, 873222862, 153689432, 206243193, 371274775, 13017962, 726042315, 472846824, 322966085, 510494186, 902876859, 254754455, 989285734, 23483477, 268887377, 593211259, 659933490, 49642522, 81939300, 544224714, 291051668, 543219767, 644223891, 557542236, 869657383, 940850797, 234589148, 556539940, 295197135, 299266676, 577686735, 747831278, 519598055, 229059773, 887253905, 939814024, 493700319, 421549615, 435954622, 48167750, 5952188, 887799848, 951265088, 327200808, 575622586, 615518021, 622005824, 119059442, 496765334, 979002929, 943120749, 836865184, 227278378, 175379652, 399069461, 397890881, 944097169, 664147870, 642565020, 377836838, 885048100, 212073339, 303999642, 200755308, 218517362, 472163525, 915622075, 91964324, 497502683, 849685724, 214264421, 175058029, 729010692, 138789040, 990012706, 433491235, 479732408, 712153728, 785782718, 932351375, 204165321, 655861192, 904175587, 291404946, 706845618, 169987847, 515890838, 227988628, 751864658, 898249038, 375479886, 716138752, 889965976, 590641898, 138984012, 862451486, 504252900, 977406538, 777840490, 568923699, 502211323, 5550779, 510745557, 212082544, 776654790, 512686930, 639636802, 862788235, 318813593, 572440710, 644831119, 556576240, 844625550, 15662194, 481579661, 506396828, 448987712, 266421942, 452336934, 961477447, 44102481, 140273548, 241238346, 534969733, 673666200, 203528849, 128559262, 401816342, 588784901, 752332485, 872611583, 932530246, 598749703, 581320532, 68732116, 63677622, 50462933, 46806666, 715359964, 510680941, 921229751, 832510269, 658621337, 520673825, 638016323, 67912424, 99547707, 607043762, 682447997, 333651622, 982779610, 914062605, 351302057, 729706237, 765288893, 495528358, 788465749, 882930574, 695809664, 413949152, 653296740, 352827969, 99552102, 895885315, 380502346, 354390084, 996868665, 950106346, 426025635, 832873877, 766631445, 4453745, 312322491, 905463216, 893378510, 284228791, 58489502, 359291975, 905447857, 624922154, 773689566, 149009423, 168666334, 978327568, 645790579, 529625544, 88185820, 40737156, 3003036, 111849464, 919428477, 509357675, 718158179, 919703100, 22982600, 296339876, 584292476, 237319205, 881355437, 431765876, 548508856, 793408317, 944615471, 467971902, 754611636, 157710013, 480065675, 295707019, 225090712, 800872156, 248109913, 930750674, 100040376, 869150602, 59008290, 732862698, 255954333, 574024659, 807951584, 281664871, 297439574, 971410429, 305393269, 931683700, 473304327, 893586888, 107551136, 300170552, 480861732, 735518053, 479924427, 183083170, 393314671, 990541996, 953811123, 73999066, 157098641, 624145443, 246599345, 735724238, 808076080, 897850144, 137843217, 228500680, 721391227, 442033784, 958742400, 203803262, 325610604, 727158796, 418595061, 502820325, 444780191, 643992188, 111921352, 180815322, 690015439, 541674973, 625855711, 4431222, 593354606, 695629644, 755795480, 948716964, 515854804, 136048729, 872376767, 57165617, 928579393, 631886469, 791528858, 786331026, 118881650, 460505116, 79735947, 318517981, 970235017, 859577385, 849326222, 761997296, 407218062, 940053427, 424028639, 4334474, 123696761, 350723574, 834277957, 138178517, 744068153, 174699396, 675641095, 308471254, 157178105, 644114959, 4879829, 601424266, 839728221, 569478504, 28503202, 115698645, 922494475, 553910558, 656487342, 66292765, 64015684, 70840226, 998292320, 844094342, 552851024, 433879996, 731281676, 368025205, 876582833, 7764751, 278689124, 525468401, 875517236, 818300624, 218578725, 297658962, 859833697, 37451953, 341849396, 688582269, 119491177, 680297318, 289498012, 565708780, 361104633, 833086445, 904588969, 522692179, 251930191, 707914813, 219138410, 632801950, 80243463, 257131548, 382679769, 812228450, 771083905, 427562878, 130317278, 44431534, 266440573, 618361621, 68481604, 621314695, 47568868, 667312411, 466842055, 461159596, 524482792, 438293462, 252493161, 547379658, 541894260, 732181840, 526932855, 216141216, 558725237, 578084620, 457520135, 192563358, 365758860, 729898262, 464635341, 323912290, 793526714, 356283194, 806809822, 164597654, 385396619, 735975399, 791573496, 883936525, 942901881, 910291268, 316961366, 497183215, 879154980, 18123103, 732431816, 69869305, 916910881, 254865372, 939878303, 627814787, 348490126, 713405971, 639419729, 837276173, 899022105, 169843100, 124833444, 526928727, 363709837, 226559697, 584416400, 350880701, 886061118, 238487357, 881677073, 454706952, 519423653, 493531449, 590008280, 424528930, 93485529, 673526337, 332017718, 177311403, 413680485, 610537350, 276038599, 411706943, 873517334, 266952368, 222988376, 840864888, 825793803, 888270982, 618458696, 222772848, 266301442, 443123172, 650172208, 905908030, 320618589, 349242455, 370304269, 81079933, 458349642, 830833476, 986868896, 650877118, 283634297, 882186640, 937139985, 630821074, 213586555, 78288765, 405040616, 975711864, 275940919, 804000556, 243169391, 924988637, 83943360, 55263861, 679702325, 55884361, 776000754, 430230621, 895456092, 204448518, 527639705, 461148089, 246009583, 110011444, 819284534, 341436217, 542702463, 368430591, 20837376, 717550134, 202356060, 540629826, 128341783, 434358202, 99782926, 313984572, 977445012, 418870559, 48886291, 224413689, 683413990, 725742420, 46369693, 161795291, 63119264, 909134264, 505959229, 834657553, 502816339, 636378955, 62013618, 740703946, 132495418, 78026618, 676512806, 827413136, 359951465, 747793075, 536867316, 462799169, 820263374, 578238114, 256377788, 763910767, 819541349, 268899364, 959345974, 646877159, 414631065, 65341594, 155277273, 813492765, 694379162, 935639748, 288969264, 656741331, 460923572, 167975035, 737702017, 900891546, 772397047, 472009695, 900779964, 220419076, 403222106, 947621345, 186420067, 473233131, 925288141, 91057645, 810519380, 396002722, 214352706, 299671683, 7151931, 928830411, 122224679, 965059840, 686154804, 342905383, 975726646, 56415548, 41620279, 937919246, 213560412, 62185083, 999677490, 494979843, 413960258, 115756135, 492553224, 524240568, 631621415, 277391545, 459940418, 689170329, 284166238, 625687690, 296033942, 57296896, 162603034, 414660566, 61979657, 252095261, 987081390, 85160619, 821688080, 706806111, 164273089, 913025027, 73016406, 633905749, 104647238, 822584948, 609932786, 399211256, 467796275, 280885218, 51444380, 958315367, 482996521, 171852395, 271535765, 139329910, 600210534, 330036565, 369325150, 374288494, 181009456, 998950153, 341712313, 901914490, 754282166, 798955196, 691167751, 710692043, 210153888, 683300487, 463372175, 953898013, 923787318, 168894396, 917691148, 364137082, 216204484, 397976522, 215182485, 66782943, 926439009, 863320620, 930326372, 204745116, 111529907, 652903570, 235600891, 529315701, 735351269, 440280318, 856129194, 346240756, 461142265, 954885576, 252212516, 494859564, 18252394, 697048861, 604038253, 700585924, 111464052, 772003503, 508764573, 744461014, 498194730, 192607077, 59014459, 252726994, 444875440, 895561989, 364765282, 122763089, 296380657, 708431098, 70029521, 784406828, 965752415, 393463064, 448634990, 62529564, 179442073, 697680816, 280770236, 588425868, 459949243, 609401396, 405381024, 108676586, 251651928, 71854382, 540292012, 406745450, 494548588, 480473512, 490311952, 156849868, 56851966, 876192476, 583636209, 31580401, 723786044, 420421459, 249267948, 373183846, 500132820, 650928808, 370649206, 4957740, 817081885, 499890236, 938184233, 353246393, 795521059, 781798177, 76004630, 665927282, 116385909, 777035354, 975828901, 333639193, 710839127, 861608113, 691188115, 449093713, 198955798, 331442777, 23341620, 425004840, 418908931, 369054877, 778624723, 121621090, 196836658, 189717906, 80004680, 382851612, 518327869, 376811770, 429464571, 753600420, 467779552, 158772213, 773311050, 643621064, 450224496, 571537341, 313607706, 171265985, 332946220, 40192530, 280359633, 590010725, 433196885, 768913760, 514731011, 491723065, 476451660, 892432132, 115423475, 463917545, 722189036, 385693403, 743437116, 510331629, 14200148, 586808507, 369926119, 442381074, 665205813, 852036598, 362580290, 301624232, 344146079, 240517067, 506850346, 726396608, 749746203, 585210702, 164581525, 553353225, 636655656, 856476935, 182963029, 874282120, 605443271, 70079119, 595545509, 535256983, 284379026, 194278783, 155954826, 79156837, 207733775, 257226120, 306109780, 114930835, 993927157, 445113153, 916699238, 408571174, 692104553, 890472899, 287977210, 492923516, 313351616, 574931743, 123828145, 126038280, 952942697, 154926875, 215392862, 962636104, 792592391, 867420576, 772566430, 343796377, 944327292, 917631669, 941743080, 580458101, 626767564, 60667043, 303696728, 163173580, 105376459, 223085301, 134147597, 805526319, 597678708, 508275676, 550971728, 741485076, 630288688, 999959099, 644135653, 306694135, 650089660, 481531597, 879447963, 29798766, 668869840, 716640393, 195611051, 548790237, 201467479, 324083474, 750434048, 466752138, 266737461, 244413667, 895685670, 832398579, 959158647, 315484542, 321277731, 153834493, 484278430, 516506539, 756272074, 307437792, 680894127, 873232577, 348409375, 365924454, 230497815, 870640109, 246289828, 377816704, 50401191, 96489057, 352049463, 816668093, 10241209, 759982080, 283198305, 341623527, 786239615, 976339601, 251209009, 201502676, 836623043, 477105240, 573567639, 823734383, 902433386, 360646602, 617810974, 69894342, 839965842, 41526833, 350967152, 836619174, 404723997, 939156721, 972018230, 285599318, 947371776, 465399025, 60749986, 183940662, 216537699, 534120469, 122598516, 495470097, 709028289, 216717789, 70268480, 990936982, 777553074, 787344075, 184022448, 32194494, 570215090, 952124515, 496548787, 67827971, 750286453, 331416370, 914571613, 443220164, 345585511, 275183237, 548164867, 618671830, 448006778, 26922112, 638465674, 658372151, 218162064, 71861337, 418494918, 373580448, 441538182, 25197456, 428617719, 327359659, 786141098, 199357039, 291628709, 724531365, 175653246, 200219524, 190346582, 713644324, 250472405, 126779823, 976930012, 161327001, 445870296, 68395385, 921090469, 543120269, 564029886, 332899960, 929636136, 840174534, 849142793, 554057826, 561070101, 839105154, 897524003, 945926415, 552268877, 399520367, 631118031, 972303672, 398719234, 65094440, 770591899, 681985616, 504722760, 134546445, 323833377, 922028817, 986696610, 872840424, 109029801, 859591417, 86959283, 495334232, 538905226, 567910125, 959404125, 957973903, 292951378, 438216158, 490267170, 875511373, 835958362, 768222525, 137793698, 367350187, 524460436, 20607206, 526642120, 467437025, 562688367, 161899453, 731786549, 976607553, 605494158, 381433095, 574132709, 469278264, 982482335, 142876152, 895230683, 943225518, 189338498, 965772079, 152606469, 296363955, 724670356, 912314485, 260603793, 983075145, 108785951, 508067371, 974104727, 757033131, 47173310, 664152821, 232774320, 257816407, 906639417, 218027397, 40484081, 139745142, 328568553, 848017594, 719196784, 656156307, 186502247, 346514626, 326492481, 320073786, 560144498, 140248345, 858550219, 973599894, 219249921, 21044390, 670577263, 413784229, 629671095, 682135776, 474711026, 6005323, 765436990, 885721272, 738549208, 420151591, 602566315, 658609692, 919528692, 853127508, 317258812, 485580638, 727757853, 718091994, 399410229, 34652787, 322379807, 700819777, 909073242, 331975559, 664268994, 931553147, 653395789, 769020407, 780900410, 11025660, 227818113, 484139613, 432959142, 88997020, 543221710, 321408644, 801196849, 728574470, 402490877, 918246521, 691370613, 214028968, 959647728, 464842213, 663373800, 274559847, 757987769, 983186324, 501975515, 927224479, 231005399, 586677353, 45782049, 296829649, 678856162, 95858032, 635221956, 551199915, 841555778, 449289242, 608138582, 72660505, 798077801, 224205948, 480472978, 460628756, 443412624, 357975082, 429510570, 293607334, 855470494, 968254758, 261952854, 182981974, 314777143, 240740675, 362126319, 824482246, 687609476, 337694804, 817412346, 969979718, 270606990, 655352311, 500315719, 648058595, 972127231, 155445550, 525365118, 928728931, 497758841, 134605705, 561755786, 834677085, 200384731, 589593068, 499259289, 541812393, 775551519, 202487900, 222519852, 439129086, 797079090, 100051539, 886645741, 433763923, 312743293, 955210161, 684615865, 369875521, 256393581, 675913695, 282625300, 768934543, 4417206, 163763541, 756102252, 637937470, 417967485, 791796288, 961180390, 186606235, 935960413, 682638268, 50924304, 3933807, 256092067, 1366342, 464017715, 334171124, 645178173, 426345309, 801174697, 232188148, 197147039, 616305550, 721874668, 652739245, 874618374, 651628291, 791203369, 534887119, 875802619, 431491374, 141165871, 749324203, 51196948, 841530975, 446225699, 689143256, 863641109, 793692858, 984994617, 953639216, 146526507, 434889113, 255992444, 599190496, 342791457, 111341359, 794594069, 783834095, 460721056, 206877888, 652932992, 434812772, 562546831, 965269982, 389936314, 232534079, 359743296, 949731858, 575462856, 79244676, 722087397, 588769984, 84449803, 151369284, 475800445, 236644539, 312581742, 568136381, 465892994, 667320419, 489544218, 332188376, 531164474, 695283343, 351614460, 922207162, 390237027, 152348348, 266270570, 982775041, 684318822, 788235919, 775907819, 484576791, 506562958, 206543270, 358542787, 538415426, 945693360, 121434455, 200818592, 194753870, 10520769, 628607690, 285205795, 643296214, 936346845, 685268856, 812895569, 142342149, 80798203, 151301972, 728027806, 78155076, 890317439, 458796325, 734671262, 503973961, 899634035, 581928668, 920317014, 19070499, 912396186, 817753676, 895895365, 291904051, 11751454, 673372922, 309154079, 16844291, 266583100, 366343257, 997329675, 557494192, 601448346, 22511813, 384017767, 814119384, 397443100, 956954416, 357421734, 180949593, 730321001, 736214400, 283578618, 785673587, 482342682, 896703341, 594723969, 767724024, 626839595, 15107764, 150208408, 245615218, 943700230, 128933319, 661429486, 485396310, 166989113, 799703074, 672875441, 588684495, 879352949, 805347612, 848074654, 701595869, 678273878, 415168061, 636289299, 770514626, 873856739, 452061571, 19493776, 648876986, 29585257, 964838142, 490308806, 519898295, 664345035, 90966790, 270310110, 162228522, 587995622, 290733306, 14584422, 20758521, 279102929, 755033255, 745216, 822224178, 38602452, 313638057, 497860940, 910789932, 858545326, 599629104, 986773090, 70566495, 654513257, 9090310, 24851194, 847415795, 81074957, 495909556, 452057592, 674304556, 291720689, 493730442, 83631688, 323093331, 951201546, 832843092, 16449382, 489301078, 630671871, 381475960, 883033149, 602870578, 747509890, 692345830, 874799323, 905922865, 798861771, 256224501, 30942935, 652884405, 288178489, 632838431, 495575275, 478641872, 58556155, 568021944, 986904513, 463850961, 770470942, 2326362, 375980481, 948623405, 907456838, 614333368, 790158070, 903469461, 191497204, 918905991, 969339255, 212828402, 152336227, 70570967, 279490161, 574443642, 334323107, 59455531, 352579544, 107569391, 856342642, 552729520, 289272886, 597136898, 355445342, 519459776, 215040700, 866093004, 895544993, 682682822, 166793107, 859943628, 202998679, 347803721, 456269304, 447675345, 563398777, 432870151, 719846469, 267480088, 901105877, 981178328, 875907128, 759821478, 398979763, 430449941, 749448655, 141853137, 365919660, 453043675, 655490084, 829066270, 476333844, 655776598, 991324506, 220109239, 853649590, 692526508, 887634313, 741171437, 399884955, 54594303, 776356237, 208197577, 526444339, 120758200, 540818605, 810037417, 704105542, 814069257, 355709088, 386294256, 623696136, 787053297, 473910994, 350501450, 185226395, 915584265, 698732034, 379422619, 995399067, 132458880, 440713975, 943276396, 206473781, 828887956, 856715140, 439552026, 641805196, 880255083, 787108519, 461551515, 763649557, 282797221, 560748040, 466311501, 298630537, 387865656, 452477152, 118231865, 324202402, 256469861, 496314313, 696304588, 596026258, 174715864, 639004751, 243009454, 666630087, 520403727, 267033748, 348057792, 684973082, 507619261, 914749136, 379371808, 538169520, 145498560, 336700401, 585359835, 354424664, 195997239, 171819890, 637011823, 230041494, 232064374, 496844790, 83775907, 330850834, 826199752, 775186436, 788221721, 728907966, 809123422, 438890988, 281574878, 339314727, 424619606, 644923795, 565065506, 517990277, 54848275, 343874973, 723338410, 713049027, 766985311, 932473378, 578696185, 689350884, 352272734, 440409016, 858117263, 113789611, 671021911, 312751005, 217866827, 660207492, 282054823, 862756473, 477128923, 348654750, 982862467, 993589270, 100088473, 614342573, 367547699, 924825284, 306685823, 290002644, 451994141, 554454797, 260616847, 382132816, 456829770, 257982752, 252652600, 806931226, 14460290, 27044588, 254201711, 621468797, 120911975, 25974614, 735618204, 819183427, 393716266, 778148217, 761992460, 269301138, 239332957, 862448948, 153746569, 985806327, 739288094, 437389534, 506602262, 641220760, 86775938, 703675679, 296318354, 25576991, 777575852, 303064074, 15143586, 829980917, 237447739, 554589218, 604371189, 234331940, 832498931, 91973940, 211484865, 161172571, 852053011, 382453869, 984189448, 94480683, 868761452, 965479009, 591664967, 181967024, 451090090, 942505492, 893319038, 319364456, 870461452, 694507177, 342084890, 165249536, 572205981, 618246587, 960284116, 356594950, 681944367, 545386101, 148672141, 948262533, 493205113, 642025803, 719929652, 259833886, 296829777, 668993367, 979474244, 663309934, 915875025, 717555741, 176772730, 466964330, 972916374, 824655995, 612222356, 716184918, 234690425, 667093229, 679182069, 180829615, 717232235, 619374456, 665344420, 160475692, 937173092, 451290265, 698847830, 895656770, 285784355, 112904809, 742141419, 409486875, 54165492, 756609185, 790767975, 293671891, 133640718, 98137931, 687153752, 910153839, 644113458, 308922925, 754291746, 80024014, 993188150, 918545260, 349731602, 810253861, 745418011, 532093722, 747670870, 67994161, 220139902, 288024810, 442889032, 35745642, 780208764, 907437674, 526965944, 830445472, 141102296, 909407529, 370468571, 288428484, 425262669, 835500738, 340947250, 617106209, 453766252, 147290103, 309208524, 332519526, 217380476, 456094364, 961476614, 785146497, 433104183, 810500946, 697196408, 222016721, 147735923, 779356685, 688949090, 465142709, 220915609, 685394997, 161586723, 141735279, 408633910, 619062152, 149043031, 806042480, 660808891, 582091844, 646261242, 618410, 740620670, 962921007, 829708339, 177198287, 139185645, 154934116, 332869410, 183514809, 526354280, 274846633, 478956333, 575369483, 412617216, 762659844, 722807424, 244498257, 983662712, 222669348, 330300989, 960741756, 116892145, 45668480, 100495268, 847769746, 494018865, 381441083, 817391339, 433829954, 712234932, 761222177, 502561548, 912690545, 674823643, 523130346, 104734318, 756094088, 966291985, 347489277, 338249913, 512446119, 504165240, 725451021, 375782135, 532188835, 597791956, 524551474, 794084051, 130320774, 114096078, 104709907, 622904041, 805547514, 324740492, 113123319, 412448521, 985929814, 599419106, 54523901, 392607608, 334282936, 114951791, 319570576, 114194945, 973841894, 110652161, 550742457, 47101653, 31963195, 628611906, 589911586, 62634234, 850782871, 708904817, 150921320, 652258459, 873572484, 110807640, 79152626, 911367464, 83094153, 591488090, 423908202, 568049872, 198075196, 406291820, 393725215, 76936961, 852595018, 275384059, 834837226, 125331771, 262797990, 385918415, 338816150, 575452759, 474690548, 362504677, 781861903, 542905832, 385993371, 489248163, 509536466, 507287103, 186735314, 145215553, 605739580, 728758128, 709374407, 836589511, 211580448, 122272610, 114297439, 678603469, 941159335, 697220322, 585440651, 161749105, 585554105, 363462453, 699715191, 447758073, 636499310, 703033249, 228473291, 609798502, 34543524, 520590068, 632522248, 225318501, 81713709, 939956662, 109626249, 159321616, 220515110, 35495444, 704569366, 66063165, 994434197, 735686974, 30716684, 32954171, 986472967, 198804786, 859626549, 481893714, 311966788, 770108148, 451832145, 312435714, 878224469, 402594670, 516480149, 340812188, 577849333, 335531648, 790139766, 575501144, 20074617, 693724053, 293167754, 994919211, 562869025, 129507452, 191508034, 870140753, 56047313, 551527979, 61811968, 285584627, 33328593, 462143193, 901711239, 3839049, 962126371, 259631790, 405445156, 297490662, 392481940, 411257565, 187185138, 996829915, 492290409, 669966383, 333203453, 459724269, 482575491, 582581997, 371432063, 199729181, 686069763, 346314071, 123050611, 824480188, 124499439, 52650978, 865353273, 368261485, 24881613, 701073088, 319396489, 691586765, 475223909, 74390366, 536846112, 53188786, 644836271, 102647120, 709925049, 356548252, 451394681, 360599504, 951361826, 245839023, 942496219, 483222776, 706656261, 820791317, 449952553, 499595817, 753182741, 347880611, 356634204, 10947438, 208774870, 58285304, 951951122, 400037059, 448747179, 876799362, 147248073, 141085814, 464599129, 742551144, 836909331, 637893993, 101913891, 65191905, 849792775, 291880390, 460106495, 304559476, 118000142, 611710666, 924371587, 366362349, 443323059, 914115465, 425005507, 981649320, 372635212, 994298926, 539047597, 262107893, 922385333, 949858349, 887666526, 498908797, 605729185, 784240505, 636668015, 462637665, 234550184, 769406235, 424127482, 117337155, 522245458, 371562589, 758980106, 553980108, 654971621, 158352645, 652259175, 216475488, 140669367, 511115279, 979731055, 621833914, 216514877, 384527840, 803977341, 773637396, 850852054, 133961208, 747442541, 898880329, 252813859, 454621418, 274597410, 814783839, 549559897, 631866532, 947147293, 948674252, 777472383, 387054676, 350660752, 761702649, 567338215, 800109996, 501383763, 811565590, 604491446, 847086148, 373961812, 303856435, 421941343, 121961547, 121435845, 410907267, 509785496, 129476736, 360258087, 997029164, 977136416, 993394682, 772195655, 995805856, 210091480, 882440865, 869958583, 646418209, 794445433, 658889317, 60588184, 418328386, 173168950, 441713771, 290736346, 531750748, 583633900, 933808685, 859091239, 567272467, 759986416, 785408863, 524678137, 107332495, 30422453, 728573456, 816993795, 764397388, 308564842, 876089984, 233551342, 272116690, 930299041, 298330392, 123869734, 741467716, 429249455, 984033974, 464817166, 791891684, 191861567, 869014641, 483754025, 311166741, 706556279, 540518185, 695648979, 206751882, 396165815, 233497442, 683437999, 333662510, 616775865, 55940155, 798395972, 930678403, 395181145, 672225788, 626992343, 436889747, 763923595, 212775405, 566686494, 730397262, 564022261, 178705456, 657438131, 87501909, 792957293, 836034789, 361846090, 904333724, 522625684, 559783354, 869207131, 788538582, 213619928, 609395192, 186450494, 26706188, 679586871, 83492727, 163871449, 710423073, 664433227, 69205703, 522681821, 700923645, 387703912, 419031468, 29219236, 23209141, 324244938, 37099744, 973228873, 634520576, 447333475, 234800459, 239398804, 144794143, 637869225, 515844524, 434016146, 511187955, 333423311, 526530832, 625279823, 14912588, 646542549, 717481168, 629496324, 766403512, 780831286, 840217857, 89465628, 707233106, 918416363, 494617348, 446573192, 713470002, 350904868, 347316307, 57765669, 384351095, 315880156, 974218818, 124665201, 992529014, 249590592, 534815596, 652290538, 181244168, 61922092, 220008911, 142026713, 671092873, 264498505, 370482242, 90771651, 243723750, 162431447, 945747403, 94796884, 768018322, 299081104, 96473894, 763302232, 971543940, 673869773, 559952396, 789325112, 95166449, 434535304, 438372342, 363201109, 334251004, 485947993, 878883605, 133526893, 528450084, 99168212, 744589478, 741568127, 449792404, 354164562, 40375492, 12209993, 580102196, 666777832, 602474072, 647948735, 3737829, 147751414, 773040052, 182635, 108778522, 568915043, 787584675, 427221534, 967662863, 859404736, 230266631, 658903434, 945692375, 255661535, 496239450, 691548400, 501213035, 813750059, 242880991, 165912636, 790181666, 880996728, 212017848, 908340205, 547639609, 263463691, 779849829, 640234328, 824049284, 586197647, 471645518, 47731671, 258785732, 710305963, 737106960, 648514728, 89873066, 955517360, 484847967, 136349155, 671550111, 580228564, 395546022, 570672797, 34634363, 138563209, 719364670, 640889735, 116493170, 330553164, 717593690, 355072441, 646996537, 736409429, 304536937, 875603171, 77805015, 504975955, 683775571, 692648974, 477580255, 366324434, 511575072, 36026935, 809105316, 817485841, 234840687, 645176348, 853771063, 889540726, 847587287, 567830097, 990398070, 815594002, 352345377, 634786219, 845537276, 659902974, 359850463, 166696237, 475113038, 597847681, 774721580, 30447849, 175151725, 386305283, 105842088, 353309986, 95389262, 171545547, 51207066, 191166182, 787880404, 455287580, 267619981, 282034206, 269376442, 221163451, 208675253, 663939410, 769908950, 834433364, 157200475, 94759224, 382417222, 364239941, 680674440, 754315499, 607778236, 713645524, 650672991, 510334190, 786557448, 364273855, 726680164, 909368723, 295084039, 618114773, 439717409, 633683677, 779824559, 311910934, 794023712, 307373674, 975777204, 926957112, 252941124, 50785573, 804610625, 936024143, 705328323, 991314868, 528547958, 343660251, 57593422, 505592441, 522268011, 547220080, 712567970, 739742375, 442367986, 703320003, 749052, 862516731, 697482480, 129123574, 590728461, 192436162, 244354341, 828083514, 505729759, 904177423, 345528039, 843301940, 413327598, 932714483, 669800361, 955133641, 489903817, 817074185, 358601003, 483195784, 923673205, 391658391, 283769408, 209311898, 856254367, 242619884, 90972439, 412945641, 552117048, 651886848, 49875272, 31570335, 877251409, 286999934, 161043476, 802271788, 326931455, 273539194, 660160574, 220970713, 674741825, 387720355, 432281800, 387052952, 797462016, 49722665, 436339396, 222114119, 982585945, 360430469, 934968789, 588763803, 882675316, 775036124, 762141334, 933932690, 576682023, 390897809, 631623102, 421385443, 434248004, 448125977, 717347107, 780680535, 313021007, 387921582, 868018649, 598269016, 490296397, 321265565, 371399758, 158087230, 525243790, 750147076, 601180268, 309118558, 784521765, 731221411, 664426633, 340178558, 393941174, 259335550, 76125688, 587457648, 674636782, 123412327, 399726106, 921994469, 828178616, 572432397, 193730690, 330983783, 713409071, 513426450, 159876201, 279435206, 351228360, 19275485, 4304357, 998772866, 838943729, 856735371, 435789540, 516057022, 675194557, 897705543, 699456612, 205806469, 471189932, 141309408, 403507488, 670074850, 805910406, 689293018, 823221446, 505447323, 529813038, 429023104, 920854026, 306871270, 108533993, 999305227, 106501390, 938604520, 965434359, 61692357, 502421129, 302512105, 331560305, 714479111, 50864708, 729153386, 253918335, 924697082, 618477059, 495415637, 829388280, 135160856, 402771852, 363253716, 711462222, 342755251, 708128827, 423711621, 616603415, 802258255, 503073010, 591805583, 38656846, 661322254, 487132366, 445721197, 151427089, 285076788, 972628857, 213289251, 255591922, 721641107, 318923207, 76595837, 718208841, 954871546, 791534258, 365799610, 848691661, 247126248, 461966489, 859010425, 811370238, 472755146, 996242458, 513906148, 711807449, 54620974, 298083624, 420486212, 489082405, 282057687, 781017210, 604954060, 489102895, 430605036, 836465866, 679404718, 615443582, 203079310, 332917684, 51245717, 204650604, 88067932, 742769054, 123904803, 419039294, 830941069, 353198418, 763346293, 197230926, 98376231, 313123934, 245553527, 410841865, 803079104, 526696748, 839866137, 796758677, 287063695, 949846236, 280518386, 50892702, 790234746, 766085814, 835642842, 860820074, 239626025, 893266648, 899558582, 228369429, 951904893, 286558101, 4441901, 706962712, 23363669, 917928297, 239808199, 521156244, 303337947, 710896143, 458430964, 819070982, 569208530, 973490399, 358571557, 514845948, 998041851, 429880334, 151579152, 583697355, 443392308, 200974585, 907679799, 324840308, 799222916, 749782910, 278974195, 116185700, 831724553, 892030259, 155043237, 711052789, 756509318, 154838684, 313367043, 467877714, 690160886, 264195313, 245570771, 987956253, 663900608, 621674438, 657099925, 973484081, 272279171, 424127481, 200940882, 527963458, 134374478, 48090944, 758994160, 54006683, 348725734, 754989485, 732886245, 539068323, 4999465, 804015582, 262085601, 912819551, 401164581, 549972408, 259711981, 156918579, 67819713, 2860541, 544413692, 268687525, 459777126, 278608561, 50958690, 21809282, 936296463, 811239089, 199973616, 761078770, 722316254, 500115719, 679162896, 381163849, 675512751, 299986512, 536323751, 427433484, 561497111, 103699433, 348339397, 217002553, 534934967, 497958696, 379682404, 872329413, 179176950, 548855106, 35799405, 930860742, 315749807, 834344525, 37550344, 208769757, 536872294, 33748932, 37439942, 593306682, 67684710, 196206784, 115351515, 991139841, 114072939, 818240233, 565625601, 625095802, 977022434, 604099737, 565218999, 473646299, 439320491, 816015938, 631013132, 626334419, 186400599, 882151420, 981399434, 66803220, 393353039, 829144641, 462542281, 640433211, 503009605, 606908914, 825420360, 295650246, 342304395, 789033465, 215086700, 855420574, 131296247, 993657577, 87514843, 382009611, 688253913, 221869744, 128733517, 776687996, 735520176, 271400720, 345321372, 539682369, 787331048, 529096126, 148141681, 690262202, 218789225, 372898988, 508926927, 862576544, 624765648, 260694345, 41125454, 754571273, 977829907, 876247028, 525039308, 130712689, 946705074, 399322890, 171775821, 973250829, 17890508, 289475912, 952751767, 359690128, 161935639, 999393894, 465129521, 158354601, 724105866, 215680689, 355851980, 942773758, 98935929, 144803849, 284606955, 414896528, 433503558, 108557301, 42143237, 578031597, 342057903, 201923442, 246782288, 900603515, 383319619, 516229516, 787525200, 758462287, 439931268, 279821553, 573032536, 154025070, 464142181, 998431397, 308974470, 786892252, 126168762, 379370937, 896648525, 909465483, 374834653, 370002361, 47532589, 996819098, 591585621, 973864421, 607526706, 702396132, 196838322, 744929630, 863794782, 902315058, 615206820, 434310129, 528075950, 518089603, 617336853, 36094186, 183245483, 16930329, 745132718, 93601774, 14713868, 845506957, 296106643, 915699119, 927276459, 659101344, 887402252, 659580542, 170726278, 556771164, 337259837, 192352288, 43020394, 162901129, 84417560, 408718049, 65679967, 375209297, 309098306, 779129644, 822837520, 265512127, 328259286, 27935292, 545806242, 514797660, 736882815, 553306784, 387120956, 407207802, 255363472, 819180375, 407385551, 722700999, 38411898, 592379784, 586382632, 271642784, 159017557, 296528475, 491687592, 201786728, 280676076, 678794601, 852635187, 162451953, 414863116, 721311708, 436516355, 1178999, 861766954, 561986646, 629639024, 442286279, 243731837, 929665254, 418386178, 781560318, 541822797, 697817058, 231220914, 891615077, 918384524, 711184425, 939184450, 107310140, 122742854, 832094229, 121529173, 340919545, 945921201, 430030908, 431462707, 942632119, 523166618, 778467777, 786254017, 691364177, 909300008, 766191707, 641488982, 907281837, 727723414, 739436467, 693970169, 44074125, 911030741, 106078522, 878561881, 137711288, 584518700, 159024972, 177096819, 287016287, 516715443, 836844846, 371185033, 16379239, 665482751, 337738038, 772545413, 718816596, 376927706, 648830282, 963097343, 327736411, 762318164, 946543417, 34576269, 560686002, 580268397, 548484296, 427902751, 302815133, 199877298, 966115458, 523889527, 366679991, 170583288, 504438383, 458389772, 873804234, 163457852, 677036288, 522010530, 648962186, 653475565, 353069803, 193472444, 343264989, 884524028, 284690004, 571688077, 925462329, 773892153, 999270592, 143942920, 799256578, 920592757, 115366565, 875458771, 762236727, 860865666, 956443185, 855217228, 356322323, 750283209, 343698327, 904836744, 872445976, 802391322, 849413614, 439316870, 499446666, 382870006, 654701659, 902438931, 301712444, 568513323, 103257806, 794959294, 468969021, 510938210, 309391607, 546747152, 637031744, 57779852, 836056124, 524847918, 288018440, 297107209, 953801745, 836933201, 564579217, 200245564, 761848211, 201661058, 535616489, 434305232, 587552991, 131621621, 285704237, 555418568, 438427205, 305140579, 345026500, 414052839, 377017381, 347437553, 534454741, 633516975, 297241387, 992759648, 273227074, 258396668, 124635619, 771665356, 483459032, 3986571, 448173848, 627286407, 101162590, 656977643, 988789740, 705587064, 712439783, 282580216, 269527473, 174719818, 192450692, 81665048, 827602920, 901957157, 253867285, 971444006, 963946458, 183404941, 808894722, 148512446, 467989853, 860333484, 287576423, 859896385, 576535000, 58275570, 454720632, 482560810, 676131790, 741969582, 856837271, 148273919, 412043906, 589386678, 660034506, 100442320, 211084914, 741722691, 501608998, 905136359, 473674000, 261378343, 308260669, 737252421, 513343871, 303420822, 377680622, 297816455, 192703364, 86180594, 262976151, 470593807, 766221573, 523425597, 18369709, 582586594, 15431546, 238417944, 298878487, 578107427, 286902568, 407691347, 120100474, 919717905, 403173524, 259709695, 563377762, 954103173, 554013203, 740661171, 866702194, 255372010, 290701040, 813319484, 944760258, 62161000, 575581408, 661467622, 681748516, 230522971, 152343446, 186785174, 91074868, 462099824, 847274327, 970169865, 37771633, 133096866, 59317043, 79387510, 373048438, 40350819, 135772408, 221143684, 814993850, 257059509, 710605563, 725466403, 633980993, 796634065, 158064301, 233958291, 805891383, 979293416, 580329628, 787262059, 633314621, 231394192, 675461348, 938708222, 539123600, 813498459, 199103236, 720033974, 842461065, 54453788, 609939687, 846846107, 649699540, 528539586, 256630112, 664780586, 777273222, 480716841, 468197890, 381953298, 819932316, 459032856, 954516687, 61716714, 577057795, 265102803, 43249939, 992221166, 569672702, 230453523, 940752640, 820142267, 149279043, 75276911, 797608117, 259355897, 409225133, 753187712, 48702654, 336722569, 927771529, 123890469, 922897682, 994569163, 589527140, 601278052, 260573311, 720357870, 166711485, 998362029, 450033896, 127827220, 175364305, 680385590, 570143290, 934914880, 594057741, 205405305, 632662725, 916002706, 493909818, 977316382, 999347937, 65938021, 427623801, 43442589, 117081811, 342754821, 419143568, 287965578, 693153874, 781041860, 627247954, 680444978, 812797036, 175025447, 907627796, 996432068, 461847571, 751628028, 915010356, 343108941, 611005078, 183083677, 485926380, 272269316, 293063156, 204409997, 697182210, 529853431, 435410879, 661652009, 785829438, 6341402, 994915770, 359720844, 122316828, 696732072, 348164111, 960123101, 281562239, 636471962, 582329770, 151690646, 236261123, 918408542, 447320894, 75511995, 698871483, 435983619, 390437172, 139390533, 175228271, 562068292, 340638344, 265134365, 871007437, 181889623, 656654194, 588182074, 446073177, 385224938, 317508879, 492002253, 22288029, 716595596, 888505663, 290594241, 472521198, 202468977, 472285703, 675321705, 494308648, 238449968, 518373963, 597435559, 438590785, 899202183, 56119171, 439461682, 315768373, 612818890, 371080469, 547282098, 300606201, 143981703, 199248484, 513787731, 299664997, 223805213, 679201302, 294714474, 647997571, 443401398, 346999732, 395000392, 684692188, 264152919, 256858049, 175948175, 386779384, 352346967, 689434064, 960392355, 818854588, 97428839, 910509047, 88596066, 868588526, 476981223, 53258353, 240257037, 812334135, 980616644, 56043227, 606734079, 443226259, 583138829, 687694044, 137689876, 291439036, 818336807, 704806894, 424891919, 266463815, 719299113, 744006376, 814785471, 135633887, 733177496, 78247204, 751650402, 306450375, 673381582, 562259544, 706266178, 520540233, 889153174, 170644056, 494694193, 424345456, 820916712, 587748270, 922466298, 829471579, 106646698, 573779763, 947124293, 471129852, 286420668, 706139608, 605334642, 341523445, 444439456, 314294864, 794722471, 840709590, 896741938, 6175913, 464950780, 492717917, 601196120, 73460084, 83486540, 393934239, 228808247, 814285361, 641290622, 763575786, 418426888, 991665717, 910234248, 879095686, 216033299, 693452585, 487920739, 991478126, 731776621, 836124411, 983511689, 970119350, 565952492, 260660180, 466379629, 408585797, 150122453, 624533772, 28375586, 86769922, 207964322, 929931104, 83079980, 521791406, 909693144, 964092031, 254630924, 237638256, 151413174, 488120809, 150378657, 51487877, 947028469, 315685109, 715652862, 980635361, 523588016, 44824741, 730017625, 591434610, 701113798, 730103128, 415707599, 101409332, 353876396, 198850418, 665632711, 482693909, 516084758, 162103090, 695144079, 665979495, 590955810, 923775223, 721169338, 883529679, 740595304, 892709399, 950614139, 75297248, 282862842, 564393186, 275473664, 894550957, 825765083, 352110602, 66099804, 153476348, 45403193, 488438243, 556943640, 760339085, 742048164, 297199625, 714328309, 61781913, 627797587, 56510512, 817810275, 713808866, 580908476, 562488369, 487994518, 79825604, 917080314, 955746867, 828527122, 100088772, 451872031, 154726852, 952081214, 846983775, 309451426, 868496750, 606893344, 143942251, 533862662, 246123437, 379830087, 905397028, 638857002, 487279854, 921290830, 655604205, 955731528, 922131916, 335767429, 575939744, 165216627, 856969380, 299267618, 96940553, 329230750, 374215668, 564289494, 710375848, 632804864, 287261323, 240101972, 281434172, 755471750, 969789791, 521449268, 475047117, 418723320, 334261201, 666269923, 117665135, 830418001, 153786364, 881510295, 776763567, 593413455, 23321095, 936216165, 208823522, 334526556, 535057523, 472955044, 965896881, 835426941, 265338622, 654860335, 212658718, 156227112, 225830579, 920841862, 97642954, 279322827, 597071867, 841172676, 422931805, 232809159, 505316937, 967089300, 483484504, 103309439, 122191885, 411098523, 987459320, 540692627, 344270089, 923890182, 756264174, 429282675, 710638310, 260500221, 452307232, 190790846, 703351558, 826353309, 932245433, 458718348, 440869037, 95711352, 961050530, 612430014, 714095832, 838654919, 833686122, 959015882, 617132287, 591759707, 906999256, 933221441, 414681774, 157358069, 346768796, 873559092, 275311548, 901399133, 491666736, 61002846, 311519348, 540064519, 870150750, 981897249, 906716551, 235862751, 229640853, 830463082, 397286167, 692133278, 957481549, 549653033, 440077558, 788977986, 584865906, 287106195, 475247429, 239163926, 26780037, 424774902, 763680185, 798166802, 525596468, 329936229, 464958632, 552335185, 800783620, 863015384, 693588186, 806811423, 164402765, 485026128, 584302578, 339284276, 234443784, 899814044, 62801894, 122047038, 14061882, 192416967, 716937743, 264754244, 804417461, 157549301, 631406999, 499038610, 238484492, 687822551, 443460025, 249466858, 760372310, 141706574, 708815330, 285793087, 886740026, 503870195, 388580988, 315699850, 784007050, 908872184, 826480710, 291748471, 350112169, 934068180, 982291152, 523056729, 868858960, 534263673, 49796801, 506577900, 776837321, 303474624, 594791881, 369776795, 690084556, 48404682, 967451709, 117744449, 745203079, 401720533, 184846091, 435815392, 533235548, 683698742, 61429920, 109751208, 61993444, 594544909, 215582376, 614222383, 39079321, 769042729, 938925663, 701472031, 473374767, 500778991, 615698461, 583252897, 562398639, 59244887, 299947642, 551763428, 168075786, 116343891, 532351958, 762391314, 859096579, 873760453, 87831091, 172714012, 718044495, 65589027, 745796636, 508992133, 344301778, 571924505, 650814952, 687683002, 854407911, 633236124, 58273804, 15004485, 376501697, 536860891, 32201389, 527873894, 872541416, 645762421, 130530668, 773235388, 218130846, 640163770, 125554671, 700800870, 937442264, 280623626, 596093742, 33235938, 487866024, 401145028, 441355449, 965234949, 834844497, 374988036, 674694939, 427550041, 821741851, 121483976, 692554721, 622309477, 202812072, 970361005, 394407121, 499186524, 449148526, 773619312, 870774967, 460168166, 915796113, 614369025, 103288862, 755144645, 577684255, 363840181, 738655687, 195474754, 548639807, 585390587, 672922798, 438204778, 355929949, 736839939, 474433349, 479866518, 676532518, 705156272, 171220251, 79393072, 143835631, 380050591, 138963098, 696201416, 736719187, 750288917, 690561354, 105766936, 763322654, 762652220, 713379299, 191503992, 397094154, 840692497, 648409904, 7792449, 989269389, 277374296, 554530580, 128419401, 682746611, 918027351, 370681349, 217935349, 534943883, 84590635, 842316012, 200860060, 776868523, 571609507, 547755948, 498478911, 139292891, 542338304, 420395549, 92549880, 534257067, 22898025, 455377957, 174717204, 164140555, 849989774, 123620176, 644576441, 414066722, 729138040, 824572432, 947834622, 180464031, 710890653, 472271017, 613674905, 593016128, 871038411, 399191, 190398952, 777478367, 479111441, 248375976, 937647836, 203604353, 489502750, 473073985, 933424578, 702303676, 248754071, 720356513, 745699978, 631072955, 895742857, 779744951, 755545125, 246730262, 280100439, 815866078, 732049361, 329434046, 274732383, 132580788, 320488189, 35518717, 617905349, 559340992, 956823223, 555161611, 632843321, 734661996, 12015986, 778193767, 83346726, 120626162, 245615184, 621589550, 369104929, 738232059, 43491660, 536420941, 978467733, 615686312, 544896973, 738750059, 804556770, 796618719, 287304998, 286273513, 473665279, 748073826, 371210278, 262526552, 182828122, 816957295, 154390876, 801790290, 813098697, 794577011, 80515197, 470278221, 506059236, 436189703, 966918479, 626572719, 245863160, 292184347, 911921762, 773952225, 219100443, 305614933, 740449676, 973335512, 868851964, 576700937, 854547821, 408855037, 578352824, 374199105, 364339430, 415329736, 706182885, 216151965, 654681024, 738362851, 723023314, 385546647, 797520396, 368285767, 907073547, 378686891, 746058190, 469574038, 226396615, 343991409, 855212674, 37069095, 136037335, 512681461, 181537820, 628788994, 154831616, 454888241, 674796279, 997708893, 323160762, 614452030, 886986660, 214366572, 250248939, 838397244, 830171495, 496872500, 470276641, 367104959, 370239443, 459262182, 147657407, 561343399, 613019485, 770594008, 481902937, 839536177, 700971153, 577567232, 498919850, 152535211, 936202494, 217615955, 662842516, 737595672, 418881311, 492201555, 760533546, 592786185, 374367012, 800635234, 552962428, 910501877, 601250324, 221993220, 173553811, 504954057, 163235665, 526210927, 917425152, 94916067, 946711251, 316396976, 642635578, 706873873, 604515209, 105376410, 401438596, 829951653, 933144992, 675313252, 924657052, 588707748, 235916715, 991979999, 562613924, 929048842, 641934737, 312790544, 894788696, 895646083, 482784340, 90672080, 342929734, 548608281, 572932609, 547998283, 558911653, 27209108, 876357712, 462839669, 726714504, 102651069, 327120614, 49479217, 728506248, 382596010, 457480722, 769893166, 764179563, 700251204, 435379075, 636429166, 905778713, 43770334, 679374076, 323322269, 687494366, 998107963, 271564500, 990515627, 308231711, 628837893, 896128917, 843320208, 382870887, 264714357, 85139429, 140348119, 578631147, 354538822, 4048335, 210195764, 629062578, 387641628, 221676559, 347311946, 298561879, 409653590, 106542022, 405292117, 986894746, 747645365, 640572775, 365361789, 839032085, 346573067, 230133271, 850199492, 685088021, 255108698, 201707868, 652329975, 340873078, 579521357, 939530378, 797875742, 173243649, 518461988, 773598598, 167654640, 891350609, 420109056, 241438267, 965409057, 846322747, 255442642, 293168890, 477309059, 214401933, 151575989, 999686802, 671438292, 403217671, 279827496, 773686537, 624924847, 864109687, 498835900, 526181526, 424562823, 370132077, 958021142, 619361621, 689926739, 914945229, 275722006, 451459162, 505418695, 786306709, 788057705, 399418096, 327174521, 995846504, 848399330, 366626143, 892714067, 784665677, 796982979, 963692215, 838644547, 250909301, 215607524, 209425645, 33637024, 487570401, 944090701, 236637806, 261742033, 961465464, 20203639, 943989676, 404364187, 21084007, 937641771, 988076060, 23371151, 544545664, 77781758, 754681749, 67622818, 635418340, 866612061, 140485141, 191154401, 636846662, 190714451, 2452550, 65681144, 196385762, 285441348, 616432652, 105624619, 656991385, 633956222, 430353799, 80240626, 934954835, 80890200, 198959226, 635493068, 819089308, 605896178, 485714928, 241218845, 722625242, 371366260, 792131562, 655871913, 791038563, 190839385, 864979334, 430678910, 847052480, 802288291, 773241783, 993873579, 57439035, 343400372, 368124417, 754096227, 371522658, 975032317, 449630689, 909454111, 690107781, 814417687, 144781229, 115784844, 285248427, 198444196, 789288102, 668831166, 309150763, 443360455, 109485013, 680025273, 62376392, 311141990, 743072586, 667526187, 30578159, 994643860, 74715494, 212887928, 148237342, 760203288, 745330428, 196606693, 987754525, 437758794, 404891190, 937507260, 613065375, 102070911, 15229914, 151328645, 838102532, 236232220, 191519346, 429042201, 478285367, 772631417, 20458334, 940311693, 276518589, 477835738, 246283514, 97074812, 88734161, 92759848, 991820124, 102495961, 314093431, 661353111, 971206438, 812007547, 414036725, 482045967, 154771634, 811610519, 952305795, 801942713, 198903183, 399949626, 353840075, 584403139, 466768740, 947602240, 127701071, 252170247, 211629586, 347497091, 752980204, 558608593, 234034966, 680793786, 434144943, 57958290, 606329832, 353435816, 9006563, 894976813, 295976637, 334004455, 267514398, 656565280, 364751667, 59398178, 455763576, 44453277, 863027875, 477682748, 839601955, 141301828, 711649616, 754187159, 77493080, 766826490, 168228087, 307978046, 621514422, 7206479, 623736142, 597169952, 955865176, 32435835, 34354190, 633256567, 979190122, 788668453, 957222349, 950409696, 864639486, 745587234, 45990883, 553811285, 230963018, 648629578, 615339344, 594159037, 113687207, 482272232, 119558572, 21751453, 742704770, 199786164, 734535653, 605823319, 731709787, 74619403, 538943114, 409357894, 649600862, 253730538, 562013278, 274455824, 517429287, 783469245, 711357188, 749042768, 883933280, 173351592, 686265159, 975352470, 156354564, 485077778, 807096668, 966395511, 782080199, 854068023, 96785181, 745293616, 851404128, 544373979, 680728077, 447380400, 820657423, 267073584, 266317815, 928059589, 637387117, 803875836, 840953589, 175337463, 725246466, 595325250, 7932068, 319641824, 358185802, 444374662, 522445087, 883315649, 438792029, 822661433, 363196247, 109490145, 353379694, 932549278, 911392589, 890158943, 400901370, 278910050, 934345056, 288086163, 447397669, 529673002, 303391581, 642684909, 510436052, 2452068, 783500104, 213898837, 163176819, 935512293, 110894216, 387421793, 689705100, 716631432, 641549776, 216267831, 919877366, 372224659, 873288035, 583939456, 38472254, 904887784, 127864388, 645092081, 822067636, 63285009, 356798095, 459607521, 838805039, 632339124, 1468712, 345603638, 297307149, 894899100, 409565086, 312052073, 351531128, 967631542, 862708378, 4221787, 489024187, 460792097, 425122296, 701036372, 169239436, 494768730, 703596537, 67385173, 25248935, 240309742, 976449435, 715850128, 546273897, 398650009, 604461635, 892550973, 880573467, 357826380, 267726812, 119458518, 130031115, 479147030, 259399620, 713683481, 612300755, 160183579, 40526590, 347305188, 912364449, 974932502, 350439057, 883625829, 56311945, 737304420, 809564853, 159316934, 227438176, 20647206, 736826475, 295440742, 329147913, 96605533, 335614883, 809573801, 192244507, 13358584, 860718084, 770359743, 820901900, 592243826, 452370547, 508411417, 797887629, 50959861, 164955685, 970419576, 464568409, 94330999, 136983671, 414676345, 9144979, 94703430, 483891575, 616654624, 83233019, 545654569, 737001285, 912502644, 80498787, 799357849, 526498057, 506040441, 994825342, 457032474, 707597693, 454376690, 149429459, 565710807, 897185101, 879503398, 481909735, 804884057, 785716323, 217013060, 509816336, 314556963, 861767112, 193288261, 629364344, 491583266, 168127655, 254813330, 780232306, 426954772, 842167237, 274682856, 166632736, 499420123, 839558997, 424382775, 975315411, 938344038, 841052896, 652860952, 900218636, 520999118, 963747491, 643594968, 553093268, 112618230, 735427407, 443546203, 719741168, 258681933, 741408560, 610184494, 81265557, 401012702, 282621574, 143498856, 126869200, 657407790, 24582852, 520490498, 937823245, 852778650, 254141537, 422310951, 477771511, 246330956, 510450387, 162542121, 717534495, 656062648, 139109222, 382246983, 504158742, 756828196, 992001664, 422351855, 40593011, 912911695, 788733754, 568072556, 798263339, 468221402, 604627699, 745571081, 54329265, 224379249, 16978652, 158477961, 866341527, 754286691, 571870407, 61292560, 580928799, 809666583, 653411711, 711680418, 739784545, 461402203, 962552564, 700932188, 755151248, 872691290, 271840409, 144059653, 580569000, 934252118, 947047882, 821841106, 867633537, 57681533, 411543269, 249593245, 151495692, 376176671, 937687912, 400555785, 177861240, 144494917, 268959441, 173539479, 447521749, 191842288, 580573710, 546342650, 134134906, 244680700, 283203045, 498510458, 140316864, 81467865, 873366708, 919734154, 612221827, 119355976, 856832903, 722595998, 512198518, 199039326, 640300177, 516620263, 417863209, 480229147, 956452607, 839727306, 285531294, 36604378, 860114927, 318377287, 418197852, 993840005, 566446195, 975488721, 341189208, 627622333, 73667105, 464333402, 193258587, 166718377, 70390886, 174373372, 838006823, 765809563, 665977461, 187569982, 30626304, 494538736, 949703767, 778590642, 949922871, 946869598, 915027418, 314072286, 624427031, 942500740, 359490187, 81239799, 759086484, 367325823, 161645554, 785936762, 51373534, 326110723, 374272050, 391202444, 876225223, 935860883, 231896403, 671607089, 110891714, 373375991, 445458918, 528993496, 561880223, 450846125, 925988030, 138344035, 997994271, 65031049, 96349637, 660572156, 555040750, 590393181, 322762122, 415009817, 148320367, 158407900, 952772042, 902890867, 551586489, 940862323, 843626195, 962771051, 603844712, 666644326, 374393081, 225191373, 21278118, 57386114, 15140219, 925951430, 46335618, 843157187, 141149602, 64428558, 702979676, 885069899, 529192389, 483243507, 117237608, 714026187, 145750521, 852396971, 37046850, 94767189, 895445330, 799740360, 812901332, 958582623, 184907230, 922115856, 590526681, 703230716, 395789462, 441477394, 759258463, 440258385, 787725935, 291746238, 613189069, 702923233, 377404410, 139677013, 365998506, 961256380, 435969706, 483317906, 158209065, 546566001, 358204651, 853426092, 30055646, 457226199, 358745433, 724856586, 768422809, 330854873, 641213220, 153942009, 324250109, 668924536, 680109154, 93539740, 748750542, 473539826, 622399647, 334242246, 992224325, 200315414, 259639188, 989705347, 402103029, 804780574, 636010559, 708225532, 669232369, 314089962, 507265996, 600357636, 316063262, 116158340, 429456680, 444212202, 438217929, 63128353, 614818178, 692242563, 687965372, 228819513, 510121221, 75637643, 665214406, 397996304, 500153638, 897529117, 915367161, 240130894, 22520695, 276334604, 926866979, 833784214, 835016554, 476286293, 628585804, 410231549, 576603884, 249007509, 839417781, 294019159, 916456143, 175813045, 760308398, 404844998, 68542135, 840809673, 172275336, 103261200, 23025111, 538492775, 513109566, 241547863, 674047362, 679548637, 265080891, 633168424, 126774711, 734752569, 170848240, 497095257, 96371763, 738029873, 758523862, 271415853, 544068378, 154316107, 794368872, 303347802, 635748311, 962265781, 887943502, 516515780, 239200770, 971160216, 773593886, 928853698, 535568036, 492062707, 220549273, 498493675, 701574495, 161915236, 637896528, 313891535, 581291887, 556719290, 382376434, 823465065, 831466080, 500852666, 842344037, 790340698, 21438197, 656656513, 750827842, 377921990, 528448648, 141186589, 728260145, 670905000, 715038227, 342286047, 966812948, 144222298, 381418312, 68520645, 563380281, 415273682, 15968827, 161719865, 879505908, 873922562, 877273358, 580569983, 848449682, 2933244, 749962741, 460763502, 311975615, 439897065, 764334511, 683861148, 8292504, 107872849, 826696138, 692316819, 121112593, 975731494, 335653947, 815347480, 660142649, 43470078, 205605, 282176925, 359873050, 164584845, 884131957, 432446292, 901674386, 651654039, 749098753, 342301452, 706262918, 608352415, 886486860, 491619783, 809670994, 872524327, 104816938, 130964085, 813355555, 329442769, 524781751, 219965172, 927595292, 532647614, 564947160, 998086084, 18937753, 763726301, 683175891, 858516715, 995702899, 745889716, 100792706, 153506115, 76372012, 521483360, 283086731, 89611203, 31617480, 55198557, 57549565, 563808949, 510553989, 391500258, 768943379, 368518150, 221290077, 376202603, 93375738, 750648536, 284354217, 696136947, 906544910, 96760498, 569201202, 259008825, 918587463, 20558580, 499952315, 753891858, 541627501, 487667754, 38885217, 262145767, 278674949, 756776636, 319106163, 923211243, 530026639, 677064147, 565683731, 947684540, 266200076, 663528978, 573292238, 382006151, 335140847, 793845484, 545746510, 187456754, 467016637, 600234337, 187123381, 160403629, 934170495, 912361201, 366042499, 189110624, 33666388, 416863358, 801158790, 829543675, 592334777, 375418405, 683880490, 654654841, 118432309, 521899517, 726161014, 229011746, 297748395, 897545731, 382840394, 629694251, 443021378, 567238633, 288873026, 560698793, 327517991, 886367713, 378003544, 383172707, 896538270, 9976827, 115073944, 661040601, 1376214, 430212374, 439554922, 770063953, 781526973, 350187526, 316400295, 933378979, 173428392, 262426035, 814450884, 488592999, 802921356, 221797502, 880801229, 603392271, 670842584, 65877096, 340617684, 923083754, 600896996, 500098312, 426140053, 393785614, 257907088, 828850091, 818442606, 963762160, 410929983, 811570332, 508120875, 405539468, 100437182, 744662122, 153380559, 864870412, 58466468, 337220478, 738511746, 437008022, 956113934, 348852466, 312113653, 486834025, 128203511, 779770707, 524093989, 905862155, 348270395, 124027670, 915430171, 869326758, 533964402, 384214658, 12824386, 857541496, 893583526, 533843669, 712768911, 585056314, 170458971, 347630829, 365297078, 245687659, 725292124, 570426642, 502767304, 312821347, 684515905, 897139355, 331215829, 456806754, 979563309, 267837444, 32074166, 953439926, 179433136, 337659, 258923251, 751468537, 49261334, 213184347, 149833786, 963697446, 417230731, 382390474, 764915020, 530971612, 121578345, 366107679, 455485684, 232745, 442778923, 860910116, 279080880, 813505583, 264563813, 665952988, 717083102, 882762138, 510974399, 104640958, 952493644, 799244598, 330081359, 805585320, 791298005, 952554773, 481269664, 923096590, 83426659, 693545303, 800841792, 971740416, 908456240, 67985876, 384318581, 260427096, 237090946, 496763022, 573031847, 412631414, 418431934, 51781292, 161496048, 449227243, 496618823, 355104383, 174734589, 238432978, 285620255, 866037537, 291950751, 757735661, 159768, 721945339, 521974809, 207984283, 653131249, 431783819, 9723667, 680998321, 823036050, 900965529, 110295829, 830246963, 855896506, 218850696, 494427170, 972685249, 837918661, 53344095, 689279273, 224556043, 473558953, 862935210, 674853974, 910603311, 538269987, 399910239, 18796429, 431634118, 91449448, 921583915, 794506749, 653538576, 117651110, 418552700, 85476135, 147755682, 281669879, 670747565, 823145331, 308077421, 511523823, 598235260, 412239799, 88131960, 884781840, 186110047, 375904515, 849310765, 868341235, 130290395, 315113507, 892225624, 534644521, 343073463, 451976860, 497962034, 408165227, 441903747, 573040987, 86977914, 123956782, 396610856, 931558273, 688119548, 790976508, 245573275, 291601581, 656248525, 298008695, 786772492, 613390146, 847099822, 974568212, 321246068, 240564386, 647928424, 847602720, 949016252, 338878002, 75634749, 492525584, 103141922, 998253559, 746996486, 169054144, 339763405, 642506066, 354178723, 522517737, 787172146, 733198521, 457606147, 777309176, 516452955, 234821649, 889419759, 601982684, 608441910, 738804935, 614207646, 716471846, 348406862, 200592107, 707019708, 624100061, 840281521, 458414150, 998086575, 227248965, 852880251, 821086190, 48595945, 399426074, 7927466, 538210883, 990327560, 490188897, 50689428, 940800745, 106269393, 895311027, 637955384, 961963731, 583068745, 351290155, 518841721, 124895063, 94346160, 118250393, 123751013, 567095575, 182110409, 222365465, 543598211, 511953088, 787948569, 310687219, 812023653, 606039563, 502728488, 222671322, 156224459, 154937941, 861139292, 782655294, 232746794, 821776358, 191623848, 34339665, 882976489, 772287636, 544615473, 597248991, 347417269, 260472775, 720535127, 498067533, 473599533, 819712165, 803123921, 114629441, 446524563, 407595221, 899654148, 155165141, 182572343, 582476810, 803824913, 96917304, 608705695, 32018385, 566127628, 29114836, 708600493, 260536221, 281263548, 537873888, 386393177, 681078981, 220181334, 787690871, 207665827, 267407734, 549721932, 531030630, 692173619, 984961476, 977468830, 351793322, 588199816, 479107548, 238954636, 896858407, 596981637, 903434525, 858801302, 821848353, 617487598, 132090093, 817975598, 772685445, 480303585, 488252276, 864278074, 869660804, 18446466, 410190665, 705905443, 816452212, 722333019, 114718899, 248433458, 621374398, 822690501, 344557981, 880791743, 782215487, 935446963, 189469762, 231860929, 68074409, 274422827, 291380196, 201378492, 311604057, 636679097, 674422385, 718934794, 80968584, 782344741, 386682386, 541978459, 600129945, 26473624, 356799255, 49310159, 549277166, 502769990, 735659307, 479328110, 147247989, 923591939, 408962240, 895378714, 458770547, 154366063, 595643079, 47154528, 649872477, 890566476, 870492616, 119349121, 349463332, 566058561, 392226432, 789726112, 444290190, 207795358, 365104680, 389859919, 483121886, 486461764, 612641460, 98575684, 250052760, 423985518, 228653970, 499410570, 854026828, 40881674, 452029559, 712098956, 620405309, 653515278, 98265128, 379052215, 408101064, 429179679, 565599961, 770055062, 546746128, 615313917, 286206970, 885340228, 924356842, 834804395, 535306426, 13996192, 595784505, 311460842, 812547195, 396454669, 347068147, 538898290, 30666219, 310822470, 552167945, 693377729, 648777736, 606809643, 416950238, 39116275, 994647640, 743743800, 547157237, 827393521, 970255773, 196340923, 912530028, 452604715, 269458809, 239757323, 229221335, 719808894, 846619707, 430449199, 371588858, 981649651, 687224424, 417070380, 5217890, 380904699, 229346395, 783590248, 105866654, 44850498, 797492877, 219508540, 326675470, 466150584, 465179336, 839443964, 586047361, 491757433, 440637715, 739189904, 609185153, 820658353, 297669685, 654572171, 678048029, 692327674, 773062573, 841516965, 454282739, 276275203, 589208831, 710851411, 220379156, 354647533, 366380643, 122998295, 812479826, 549098577, 604215178, 209814372, 914072055, 701935750, 875611418, 983205652, 596758087, 995053382, 948625690, 927681121, 465623278, 688864536, 226910793, 255175729, 34430623, 525424258, 393908664, 212282245, 64943964, 586190407, 266612941, 562803300, 689504719, 331042656, 410729346, 192705866, 885904105, 496045229, 78066311, 117923444, 642202124, 381229161, 823133535, 126034898, 914586881, 186561395, 565832678, 991932322, 499218579, 681919284, 491977898, 907078347, 283751704, 985884895, 967599307, 982855881, 22200354, 356593169, 645895361, 806316211, 482048817, 189490694, 550868249, 627232091, 738506602, 277389714, 900356220, 965465105, 642320204, 362466666, 906987727, 363216965, 742610788, 23875957, 533460242, 14477543, 336332778, 878604456, 485569359, 751912859, 538209978, 365935489, 769198444, 998031693, 328513096, 84148461, 319795204, 919112878, 261810429, 49989421, 188097625, 288377556, 165184798, 421486265, 436824984, 633858855, 267779772, 562760533, 16550226, 549205106, 276460750, 319480434, 855854126, 250497334, 813668944, 69405367, 953129364, 16664304, 691032420, 471297948, 339437920, 13902324, 605685687, 513155004, 830612912, 883389377, 876208357, 510861580, 893923786, 557222757, 983249811, 692201327, 270621964, 556158895, 315328540, 396380967, 580366028, 468223727, 63813728, 509272947, 566063995, 730371153, 775496743, 382960841, 235493609, 646046593, 948954801, 92908437, 291004803, 28454485, 913463518, 790740450, 182435888, 487147985, 421501634, 878007683, 460419315, 372962212, 624329582, 420504403, 150682114, 511386944, 629711016, 187031405, 350582580, 206440111, 227579959, 428276338, 727425908, 216702924, 968952334, 519584624, 50209217, 117928222, 996291318, 960158891, 521653959, 223107533, 143139910, 541790350, 407657678, 367068437, 559272817, 872192817, 397274366, 52845081, 199452570, 653984040, 227275544, 612505797, 491445531, 807283331, 110195359, 291393495, 681101683, 129576104, 492923964, 634780850, 192970498, 795300869, 287208728, 763265829, 852166970, 335304293, 179947098, 695272343, 120160302, 410302888, 831918772, 634181891, 170175529, 836062086, 199106104, 790204538, 899386796, 2306211, 260657160, 6944574, 192340118, 964882408, 104726379, 531278451, 788548997, 287376619, 463520714, 834258352, 963361740, 792281980, 621104506, 409176018, 286814982, 124381367, 450924531, 840362209, 918152482, 941738740, 696163934, 357543841, 375179419, 879236908, 838815128, 707150851, 13000434, 657219812, 896184373, 410799321, 254041464, 61276274, 963239117, 50420946, 156965280, 601428529, 52929091, 716428147, 609200529, 554011147, 543502765, 493577659, 78280222, 490380279, 950352396, 326849010, 777647061, 414951598, 976933357, 177811822, 642568524, 618400882, 4046329, 954193571, 959123384, 349154524, 454878775, 521535202, 685079986, 472853312, 440566840, 320525820, 490590934, 429953333, 370578556, 222823637, 125591633, 518683019, 122210378, 277250220, 308348652, 357575120, 58058720, 371840425, 519156901, 741623454, 484389517, 999979426, 149825589, 513275019, 517963637, 455117064, 60023032, 108110138, 282583854, 100625418, 609922080, 602279293, 361227197, 337780166, 258463150, 237433997, 755541788, 440633712, 667829898, 520871625, 549991751, 52837102, 698200506, 800480307, 349216414, 749890541, 368355506, 217943087, 800718553, 2959189, 98495595, 624570480, 205793900, 306543657, 260482010, 429241576, 468202902, 640322090, 821502635, 190223082, 969660404, 956313794, 90029744, 776516312, 663207192, 877721263, 486162291, 642871749, 756548011, 397231330, 211235169, 491834110, 737338451, 111630968, 734494753, 100247775, 601271560, 424252792, 993874956, 246735618, 235016229, 780959680, 49920453, 81242087, 336197488, 46739559, 72173474, 30937988, 798252414, 280870873, 485953609, 706493530, 937364318, 299429452, 150415622, 461289952, 120932482, 206184422, 974467711, 906681768, 543315717, 367055390, 32193065, 157168728, 696680991, 945470820, 692998586, 729070143, 91810378, 41430493, 113979681, 554239482, 652653691, 708044816, 150752809, 856798119, 874327728, 514300169, 936081418, 188121884, 577406915, 124387665, 778249932, 620911393, 486629438, 768917722, 482081260, 146096353, 919824841, 869903632, 830890695, 635695974, 379445396, 633588634, 419540921, 941021315, 145821830, 156137233, 773844429, 842913593, 90163063, 841202107, 782564079, 217967540, 517341231, 352290740, 367604639, 561116435, 821248015, 244148842, 576010686, 327592162, 127943208, 20653178, 238770147, 116403344, 829611187, 873785751, 211788006, 397387810, 207096443, 501899762, 568760900, 542299211, 204828811, 755485223, 500927972, 406403126, 684999797, 104293639, 856314901, 283623929, 205300533, 587623482, 87558509, 788022713, 981110289, 377877650, 108804551, 140527476, 717063482, 323899426, 309930879, 103673047, 711000425, 768468621, 217684134, 948727042, 493584095, 763833645, 126237106, 187402847, 941111956, 510630299, 551222355, 971187624, 420174995, 55728558, 992689907, 536040511, 775829268, 393938242, 784381350, 512360303, 184531923, 338013727, 541871789, 715223202, 414736566, 848369308, 157690982, 439723507, 137212142, 821296177, 457326783, 177535554, 880235950, 702560221, 131772177, 897632616, 238071357, 865954645, 136661367, 868425002, 595364595, 364492853, 410748516, 23620486, 797154329, 38195027, 968988967, 977640090, 370894268, 107037074, 503337843, 827141652, 960963541, 481726630, 812294031, 618584284, 835403834, 806332040, 226422629, 269497427, 362761982, 756455644, 429275808, 718851443, 784165307, 88137399, 376338729, 449027318, 865176641, 58615597, 314146516, 233097736, 682800090, 985435713, 475772500, 710905425, 833395336, 33326755, 760752639, 219055682, 752944299, 926227329, 881770688, 379003430, 384903948, 438428386, 793477160, 488580922, 312295223, 594381371, 425851400, 657273500, 753014353, 701724814, 134368644, 218524169, 461564927, 412531485, 274445407, 529874449, 887024990, 615402004, 50282401, 294769152, 339441127, 746274339, 879518605, 618824549, 298441905, 312499555, 387648213, 520818137, 739253936, 626874234, 585033942, 135919525, 543838987, 263582901, 250769586, 560248378, 596039331, 779558128, 835975183, 704525381, 149609245, 981553345, 993072674, 570082286, 259470053, 603658908, 723244229, 151138275, 442681794, 306171003, 663818984, 586159628, 613983326, 280783242, 191987933, 973623946, 680793175, 234107382, 940472371, 326049458, 627193409, 113913392, 629223251, 47777033, 245043, 996830701, 614955710, 520566934, 842689609, 924052163, 276899044, 830570275, 19011674, 502291744, 36707905, 117617134, 161175155, 496087486, 483057730, 525034182, 20761697, 956747859, 816767526, 385901577, 913839340, 22024799, 421698842, 164188514, 843744414, 662160687, 817584121, 295442071, 882058102, 868964577, 275036126, 214212771, 739542573, 625384606, 128643268, 907698340, 427305156, 422101613, 329923711, 424855536, 354741513, 848435351, 704151706, 451179717, 233934086, 405443156, 16694297, 855400196, 783515507, 498318655, 964655296, 299303565, 397261968, 520069747, 689576291, 756774446, 878208779, 662366957, 37210364, 333917203, 361791519, 730491638, 181980761, 549043086, 788984727, 843335630, 557771649, 157452611, 721320900, 118322989, 954694851, 164676287, 221062004, 658619923, 598283288, 784313299, 833988250, 208065737, 764816021, 180327382, 265572096, 761658654, 863214027, 106279028, 158709020, 25477440, 941675929, 808414128, 436055768, 999507170, 92544296, 85024576, 385409467, 26177231, 190508335, 711449051, 544085237, 773092606, 946031057, 9147137, 901986310, 492508593, 24430040, 719007675, 156331773, 681066184, 259135457, 466115244, 914616588, 179668747, 135106304, 444578854, 329289695, 543380255, 832512051, 830300638, 742532305, 693178321, 362654818, 454325430, 85179909, 771373308, 768347313, 283718289, 781332990, 842520425, 294971944, 628138743, 48418347, 714271802, 993018547, 290133045, 760392693, 380855177, 77328480, 541276022, 643860528, 24887083, 856069018, 995174002, 557056572, 412190044, 621050154, 850705083, 325890950, 913981241, 161619560, 307647676, 377472342, 348847820, 715659266, 563717105, 213179093, 219841309, 864014093, 619960943, 779025081, 669197022, 105200758, 1712610, 578611124, 585892920, 240968257, 617956629, 971660499, 145551811, 919453138, 841663618, 318176871, 280447817, 480586488, 811756392, 901940040, 306589835, 36245769, 268212776, 648047806, 122321765, 553401625, 973126334, 819217528, 460265058, 509159510, 982124813, 545814618, 136038933, 973778858, 876289699, 718127074, 432149555, 114446610, 819026475, 856134517, 173862503, 819184307, 383449933, 564466685, 167659921, 42228039, 380884469, 644201406, 845860713, 13746872, 248902909, 405704880, 491774951, 308841684, 247135843, 760455084, 684061597, 659647924, 906381871, 686900054, 944946583, 265007391, 697489446, 850929243, 650703236, 170322349, 826356374, 490477120, 877136493, 629198072, 170969520, 601766041, 108306511, 308526160, 610300013, 956025657, 674914614, 989371530, 724152922, 406752407, 561621282, 957401359, 608038888, 779638689, 579405511, 830226719, 1361716, 155339681, 791116098, 661990103, 942179664, 378703473, 294198979, 197619733, 460723542, 650115072, 541792500, 19439547, 989458207, 270591328, 82642802, 320491878, 15944256, 572741035, 938614036, 533658593, 120880260, 389804785, 302677665, 833314604, 174531212, 739888957, 246146934, 223348808, 290614989, 533264548, 332310647, 249203043, 596895552, 185285905, 917742306, 101416699, 773274855, 125834445, 970722613, 864933252, 299901189, 744450222, 380608088, 965652699, 756424801, 307174582, 746136002, 233676301, 855479540, 128403306, 286563154, 544287400, 338212098, 994233201, 98702645, 852780946, 491953787, 939544884, 536476775, 55977326, 946477867, 272803237, 51009976, 596296269, 800007909, 846179116, 751715832, 867682762, 500240735, 734219971, 367690914, 634525297, 916585004, 625334193, 474705578, 591768934, 730284315, 977266647, 454416091, 209679072, 943607119, 161045671, 589979405, 452858721, 478161800, 164998904, 361540760, 876419452, 926533639, 960718316, 145132051, 679832182, 323074592, 126211130, 785965463, 901605177, 423569508, 543209649, 340975508, 687924899, 366904522, 289934338, 440559661, 746890450, 329842498, 649834424, 246537112, 337877716, 637221436, 333924343, 670371206, 769618090, 658259270, 769424175, 705753403, 42053232, 848244068, 821735380, 198954534, 714751261, 714175317, 938863051, 411775358, 560041747, 750770452, 251886139, 404673499, 872686658, 937234361, 188846632, 460904175, 586901741, 986646915, 19227211, 565389539, 389129850, 616904688, 253188719, 91158905, 796557200, 578165454, 310326402, 621071443, 631273376, 430117655, 23839794, 868764425, 763736286, 592750275, 756813327, 917766214, 634322729, 8189203, 411926204, 928296127, 74638292, 48275083, 795782438, 964837334, 523828969, 350204143, 847261555, 145939545, 361811987, 591602819, 413204936, 595383384, 503824436, 356590613, 44735604, 213627169, 439524404, 192624446, 961544489, 213949769, 411950078, 769314014, 635639724, 733779946, 141894335, 153130877, 218877740, 812514690, 299348373, 318174564, 672150864, 842185365, 366482461, 489119415, 856227392, 79127334, 448142449, 331040612, 601460194, 199163389, 329351572, 379080992, 931492957, 885448222, 414607879, 9865567, 441840607, 543632852, 993953541, 551355779, 557116200, 548554295, 164515601, 339348860, 697664406, 940935064, 963633352, 131440812, 697837125, 466779188, 980445145, 953032009, 509245392, 306677059, 880499684, 65365690, 322524642, 830131893, 45941680, 616660823, 998493429, 672409648, 646310056, 434597813, 492119412, 715597754, 136208747, 979973665, 825355440, 12636845, 448719488, 123177503, 340723982, 661721726, 16979030, 362566039, 526578106, 591268603, 772909969, 864933823, 687225308, 989726966, 936782861, 86862427, 79493654, 739307914, 867459947, 114315652, 665227881, 277039228, 325101302, 610736783, 386422037, 799900399, 343517507, 162765339, 744348348, 731899517, 521479840, 222343874, 549465030, 487944090, 726596325, 208489028, 968636465, 429354682, 704680156, 785126779, 592441634, 28213188, 131056651, 309993619, 187007152, 504679453, 750708112, 932982076, 164207432, 426942136, 635420477, 406843445, 101269158, 643304709, 441221306, 426391481, 655107293, 959736794, 760035059, 312166929, 456623159, 624148732, 159385433, 986596260, 953777007, 557448155, 188859353, 816258821, 749671646, 505459063, 123363884, 572735513, 96965693, 337133156, 43384706, 924855384, 77008918, 654640105, 263460298, 798903626, 858095101, 74233749, 745723065, 398989212, 937575734, 520579152, 319590705, 722949888, 438546210, 549296243, 48860621, 51197155, 875513367, 954957279, 146383933, 103146233, 785585212, 815508657, 216863371, 840307540, 922870734, 867343285, 579770621, 450250038, 490164571, 991389703, 641703796, 407265229, 921228637, 551625845, 523428615, 796169792, 147130299, 360140334, 785603002, 970625185, 267182551, 364112366, 993391772, 530670478, 65901199, 360230933, 406505087, 608658428, 104822226, 448937658, 930715535, 698528166, 244292348, 441451548, 947154800, 701064371, 658946533, 609794881, 909422781, 559408081, 989998809, 295505073, 760871442, 175400483, 820622616, 738488630, 276147133, 20488681, 891039647, 629475424, 251632146, 263505424, 242423762, 368640091, 223205437, 470907878, 884550018, 340978535, 352285015, 671974514, 277374711, 868506412, 705019112, 900040069, 940660371, 504054398, 772706266, 662283657, 712929266, 163869271, 227327409, 324866533, 132639465, 747834951, 187004990, 882372377, 556791382, 937859710, 314456839, 425305753, 948288934, 851804917, 576973905, 205802083, 279450197, 30416676, 715932020, 696186556, 942011903, 252031837, 918987810, 394695440, 898698400, 300689394, 673951568, 98226237, 230600709, 424006781, 436268414, 114047805, 838517157, 434354992, 450448581, 855931897, 477926696, 884544112, 305135953, 361354704, 242539185, 726194826, 60219042, 980171883, 555408966, 30370764, 156736082, 907711360, 380709729, 901022114, 926595680, 355880106, 559098416, 486834314, 570385782, 636313766, 800078883, 541015939, 675825003, 390227193, 111226425, 909952193, 796977256, 557949376, 755834216, 615545335, 872811530, 939644280, 574345566, 912914538, 719202877, 982849568, 34756910, 820404397, 526747196, 775449939, 339607073, 461570893, 462102393, 358172719, 711115398, 379053612, 419672390, 974558320, 948550169, 427081534, 998301320, 91150345, 797911924, 108013225, 761621193, 305673826, 171959362, 610391906, 646042937, 180881983, 656952004, 47181714, 511917547, 461362063, 570420510, 108669174, 788448614, 207527329, 507481344, 302304025, 195545006, 82520388, 794214073, 753653964, 792126992, 110174412, 660801647, 719371486, 521703890, 909061821, 50038249, 842772780, 154140893, 152299512, 258872363, 593028043, 600764414, 613346181, 673152124, 927938011, 767329378, 629405821, 269327467, 796527314, 652295758, 699864342, 634738628, 983842475, 126081053, 651491916, 699642801, 748464326, 957903030, 775421332, 982620126, 435130275, 635980195, 41160443, 909353153, 615823951, 692774949, 344163480, 519625243, 300195901, 512064480, 826868890, 54974031, 613490168, 848575837, 686507571, 922736368, 744816277, 276079266, 296079636, 442189600, 189346955, 590520268, 621794822, 944089615, 891680113, 513565007, 832811717, 617561768, 156693609, 467613533, 558492596, 104578300, 553813186, 34518498, 201190063, 468360317, 376544087, 746833394, 816112070, 499988634, 190037094, 470342488, 849528371, 497721043, 940868929, 860706981, 230913132, 979773257, 422037593, 145853987, 561107608, 381983232, 571480783, 712399158, 932757900, 495440318, 28402301, 138853759, 22651967, 808111315, 429361799, 961025254, 782688443, 221524571, 172358431, 294422605, 217493096, 172678090, 992936808, 173799229, 259245794, 256805505, 615177219, 814190202, 806180639, 979024670, 132060056, 20556529, 117784372, 233642894, 545939742, 115096281, 209682224, 583594200, 255424880, 59717067, 274549927, 131666471, 633151990, 139467571, 983486044, 212068536, 407702327, 406662561, 314170473, 609057381, 204806350, 380489188, 959983080, 98731331, 28572301, 954227442, 474221509, 444602218, 579053013, 164651006, 961369079, 660210294, 181310201, 497708860, 972787285, 853777818, 367213993, 104217037, 899288873, 372341999, 596478806, 6876653, 388067470, 429736422, 106844395, 362595910, 262696474, 802106511, 524369152, 117469657, 351611813, 814708269, 277636878, 325567566, 696721191, 675842861, 592085245, 754151818, 138074933, 588351872, 260247399, 393927098, 20455095, 352664708, 778597162, 143996345, 15491096, 864241300, 711934825, 205387306, 796390747, 175736912, 213977265, 72411407, 843348613, 709882970, 549465453, 515621888, 189591920, 759774136, 535241566, 803932232, 947444688, 964271771, 889230443, 230319887, 184270474, 315665633, 826674530, 834906030, 954634405, 446545369, 944039496, 122453816, 643895199, 760516931, 142662424, 202068401, 243294111, 723160711, 731647249, 847666020, 902006440, 287034562, 415893500, 364947651, 461710160, 930878122, 107338839, 43291915, 472926475, 744616403, 144869463, 31761987, 891705275, 771266725, 434000439, 200214025, 563782106, 693324886, 991874726, 926265523, 891130057, 305592562, 301308076, 182212263, 968207952, 629700422, 279005368, 445227561, 839448745, 664567249, 453822222, 364909984, 748102661, 807240643, 180402129, 213194540, 239965833, 222183498, 936944942, 776206955, 554128876, 661858630, 457861821, 28167338, 369608636, 416303540, 483894168, 518428140, 549690892, 995100323, 476926984, 899627863, 608069000, 669675651, 547840593, 520804536, 599919776, 415877640, 222262397, 807375798, 958965408, 182328057, 101760711, 638006756, 395734780, 907810865, 485855980, 672239160, 165784139, 884678747, 342706651, 645021880, 961669568, 549194915, 419657253, 630710378, 261300033, 980465445, 959726180, 88558392, 881224540, 930280702, 300540117, 746905972, 954847387, 608502263, 372403145, 35289151, 723330398, 756035326, 368928464, 214197040, 247319518, 581888560, 620896055, 144445075, 38609320, 525102325, 586259224, 182875124, 42800660, 630811607, 218705081, 987364233, 807310512, 399591623, 200987322, 464006531, 551321492, 743570043, 76648754, 785780462, 427986642, 516233167, 267484932, 676309418, 628475898, 998835512, 380313020, 824066439, 599943429, 362322164, 824883466, 805212089, 434294925, 601587028, 788326671, 458821388, 413887434, 743745737, 837917638, 159394787, 329235459, 357331175, 321043898, 794117050, 317808246, 139649744, 981486398, 879106055, 609280062, 515104245, 505762842, 556022671, 160931189, 489195583, 140240800, 183607619, 98905870, 556334596, 863614356, 226175834, 707859522, 295191893, 38646451, 68354487, 296224209, 627787628, 374931585, 413149707, 437723717, 966711601, 323592472, 671690963, 273987660, 791754087, 309814027, 853663379, 81566561, 552819121, 149702555, 368301927, 862604187, 402838623, 349284169, 747205580, 484053083, 71822118, 695198028, 375917943, 106664549, 605851767, 487555504, 970836060, 478542705, 799525831, 136831595, 510820288, 903503748, 812869855, 286582540, 611016794, 91110357, 797152280, 2938279, 47757710, 23104934, 575552013, 694761277, 744456229, 687306414, 321265239, 716796402, 155116265, 189880509, 307435632, 403284599, 917690937, 38193593, 861462088, 811415080, 772051082, 590342491, 720430355, 710521098, 694622684, 273921236, 172884934, 715260063, 347314263, 874898591, 21324035, 895832717, 332386506, 594343913, 790550403, 693002375, 77932346, 205045702, 444905923, 152536119, 174660388, 933795101, 384520548, 591200622, 378629516, 87521165, 125641881, 787625626, 310431981, 849752910, 217591906, 92841760, 450952130, 703448128, 233180580, 343539270, 88577582, 743180295, 447999661, 544877296, 2395745, 693529895, 712162349, 704388082, 418185385, 709589780, 381228772, 909714420, 463839344, 875533097, 71732290, 624235240, 234328455, 849131331, 620029542, 20744961, 39425396, 651298430, 728366276, 340304243, 654092523, 341137214, 576926536, 166850192, 767342380, 927285204, 886982387, 856028395, 868826684, 349744492, 731817101, 155717045, 217098133, 421409116, 241204741, 379033908, 104109596, 557413457, 854816434, 848170611, 767150303, 169283972, 65693602, 542915213, 618194088, 754400888, 899211639, 736481990, 663909863, 52967659, 839603181, 811539937, 658428501, 848013867, 478006369, 637470612, 909331631, 610103968, 12784129, 574661650, 84886174, 801660168, 134928101, 672340358, 589576309, 862590747, 795265671, 293562901, 806276142, 17435055, 468195676, 32829469, 23259558, 152186930, 331510298, 303994497, 954716255, 489713692, 993799788, 149762880, 929889707, 625384897, 295633632, 28999372, 972435607, 811121924, 492650125, 475237521, 929433721, 20696408, 81608107, 727687020, 906564263, 359576693, 314985550, 676528890, 540594949, 398734549, 431913760, 783648331, 621672656, 670597001, 292909422, 477931563, 23977796, 489983524, 364506731, 649088787, 122893686, 449147509, 975830640, 960687309, 44034244, 43989281, 383926375, 386379940, 559437593, 322418379, 956229266, 14597367, 186957848, 76807179, 967210433, 807246467, 871361327, 269375564, 976004845, 519056403, 451583444, 748328502, 754692349, 864027745, 358508997, 247804975, 272215318, 2949372, 542772065, 556821547, 679288007, 526296936, 903773010, 831617071, 120430601, 286042570, 563012674, 569160163, 755157617, 217152111, 419280484, 666439282, 179625075, 532497264, 349355241, 984017703, 344036363, 582920899, 372188908, 18413440, 552541710, 732836734, 805555667, 330716090, 615031046, 144718861, 892064309, 627203728, 78036906, 230708085, 137578195, 905229731, 986895209, 86896474, 388949455, 772135168, 673503886, 632985467, 765631833, 421880375, 885007297, 839099759, 123686965, 772645858, 32367062, 376382608, 500710485, 325497209, 496539180, 310554115, 511574991, 661626656, 834671442, 63380510, 188906442, 804579401, 266149788, 160857338, 97152706, 709421166, 923246661, 455559695, 665538924, 260625800, 42814107, 407074280, 406817579, 151990798, 598866318, 918725392, 502753028, 606221713, 473905485, 351242321, 550196055, 123714281, 443750308, 226831297, 348247174, 251706539, 789196729, 883204548, 934796182, 260116666, 869094784, 781845297, 900261430, 959656266, 595222161, 950826166, 753410604, 569311779, 437721562, 732633234, 453250445, 750692612, 725533101, 385305998, 881471255, 841346732, 720748827, 448519264, 489730810, 663281417, 936270698, 761968532, 662960019, 518934522, 433996149, 486169707, 919089634, 207976247, 78111422, 540142208, 572193855, 23104356, 554123773, 877099912, 764626475, 61456369, 527532467, 955766234, 779672878, 886198689, 307317019, 696354706, 923472889, 462076432, 613506898, 378354713, 783073866, 41087837, 676355157, 353123302, 531897793, 417537047, 988693717, 7275835, 77328185, 293573892, 993252209, 116996457, 373086841, 308178701, 733331568, 992591110, 242779561, 203509859, 476261734, 999597008, 273797533, 822634593, 552598053, 994659564, 359155586, 747471188, 514021673, 587098634, 892796682, 513032552, 644489503, 339320090, 690270924, 484083341, 925719610, 33963532, 775484531, 574721029, 847191628, 470495603, 51266344, 544804399, 182828263, 222246885, 372521960, 381780972, 886950140, 214623751, 822949870, 357654972, 630625377, 781440297, 89704126, 365115655, 685712049, 327579995, 889093459, 97781325, 4350643, 329573955, 910578974, 833884836, 90226186, 659939025, 110795371, 41955382, 928225307, 865047566, 368563131, 54801868, 579569341, 66500442, 879297527, 957499760, 744032981, 440361632, 286074104, 132728526, 70931152, 388753483, 159255226, 209954369, 998598349, 600097199, 246707640, 730218136, 889332451, 775007140, 564750240, 932499271, 627956961, 672570011, 645056753, 423274049, 221948232, 548545387, 98837430, 304995353, 58146606, 766560950, 8941493, 88146726, 120376263, 676594427, 262392681, 751613579, 111449261, 180271061, 312305143, 631526433, 683494606, 337406597, 907142075, 373333560, 381068233, 452972607, 907384064, 556575606, 170850405, 368852565, 883419250, 727892126, 782368977, 381696399, 110122627, 746043533, 965037006, 718073062, 468125278, 950138947, 780626085, 453798943, 149239858, 578492203, 355228552, 874960073, 798965884, 975757270, 898046008, 660904098, 302499909, 148566166, 236066354, 537626618, 18032354, 288207573, 763536434, 181189101, 45031057, 123701508, 325381776, 928705267, 469482652, 735677431, 700460614, 316567525, 192510307, 915814044, 557778604, 56283675, 275895756, 882763240, 82996600, 664713092, 397330704, 839655699, 578466419, 635568203, 912146694, 37006807, 479340476, 684007731, 987790770, 206965980, 718612929, 49362501, 924078935, 379271501, 422410370, 601018013, 504186323, 118120816, 815677643, 933710931, 193416441, 564765061, 501425477, 717020093, 401603461, 370633918, 848644617, 274299680, 530731761, 395283410, 646428403, 751502020, 620124685, 812072995, 683975384, 315919855, 227323123, 423755272, 650350608, 339138875, 920388511, 387436177, 358644487, 641873496, 878806278, 4571152, 87468319, 415431482, 28029816, 951459671, 209620232, 291311561, 235485249, 690129781, 248488813, 359982685, 259879562, 689220446, 641952545, 132135912, 358814514, 894359978, 361626126, 608162399, 557865951, 95857732, 376407364, 894693541, 760415825, 800394874, 70210330, 380597843, 792608353, 291236798, 947363608, 466262826, 328650754, 301778238, 979436324, 728153712, 411211209, 906659540, 346544208, 91162010, 842409192, 965270253, 586918572, 476418934, 22828546, 816899457, 50439608, 324279020, 617892336, 311740134, 334899416, 560869137, 430869790, 369305518, 732323064, 28855133, 253375156, 888398706, 804182035, 728223411, 177820769, 441317726, 587271697, 880008679, 384472, 888586781, 200136805, 525764481, 190751604, 361703007, 22721373, 675758072, 433047965, 794283010, 624773645, 3806286, 200017127, 672189469, 36508867, 349181022, 654244279, 316739431, 244364429, 93619580, 583136384, 400245676, 12423710, 107970957, 303616706, 46166688, 46485109, 734617682, 220448949, 841429511, 961325660, 810116091, 576085948, 943364242, 308478978, 451193276, 969234222, 16640770, 777435164, 377862537, 214974910, 805174549, 914564121, 822570929, 765841277, 431198616, 929778772, 744053564, 979622870, 864515900, 961048882, 738217526, 891277504, 71873995, 444342293, 616040571, 327210289, 756465816, 73969090, 598338825, 307606301, 872871064, 80698802, 97129899, 353265466, 609224168, 200783850, 181088931, 386746361, 978104227, 214030950, 350650102, 384588073, 786557699, 767960205, 517390756, 71652652, 831486597, 512439277, 751262587, 80099103, 350802933, 512080884, 317200351, 609528981, 739089895, 818199847, 792384858, 669065025, 566508843, 507062129, 732548473, 186123421, 335427207, 486319936, 427614127, 604384832])) + +test6 :: Test +test6 = TestCase (assertEqual "for (continuousSubarrays [986576039, 601518733, 744798894, 581260814, 819551063, 25280437, 912790185, 566200129, 512449764, 813324259, 935779477, 75523677, 110564640, 996917008, 24329099, 81044379, 639852709, 485230276, 868577009, 991579590, 173179412, 153444229, 696412320, 668285025, 665305513, 374760041, 395657366, 431207308, 723415171, 78217974, 231578479, 44787201, 520128365, 190886570, 99544457, 834752183, 839840220, 23156798, 568958840, 828175027, 573601719, 646397626, 359922464, 610592950, 761436656, 991866724, 975548126, 596278074, 51352469, 709760089, 137138347, 35412739, 740326384, 428595150, 561686033, 826522352, 528512395, 166766340, 903971986, 930175620, 291876450, 325746465, 226954604, 342184919, 786100937, 33431144, 559960353, 228435020, 981753250, 477182859, 853319621, 531074058, 293762369, 756977260, 982115626, 109505171, 97662291, 597546699, 25539355, 514871975, 21469506, 866882384, 749542329, 187314233, 668059077, 880111727, 802394008, 684226238, 295590795, 933475698, 603784570, 805706585, 106664159, 706632391, 920925278, 534703454, 809799056, 533469791, 699009564, 574769508, 286021995, 580299338, 927136527, 182061139, 50256606, 963343548, 2079973, 759980720, 239896735, 944973942, 715128164, 958534922, 284255197, 962076026, 543624223, 280308022, 922047898, 608663068, 462272761, 947562676, 27146468, 341833914, 373203844, 406807671, 587150376, 428133803, 347613221, 515250274, 825463982, 900359800, 907386894, 758524660, 920655262, 270154021, 958873500, 110226802, 114234297, 326643960, 5861654, 49217327, 698710492, 81052676, 486338667, 421658147, 698878003, 522872439, 376629510, 608900195, 61788074, 690780333, 11942994, 539935304, 292087332, 12152539, 317686301, 915961372, 150374730, 869266096, 1003629, 142908381, 204197001, 394544263, 969450770, 171841363, 370991241, 650184990, 292091080, 505109506, 592028441, 596806545, 834483109, 673378639, 767537232, 201264498, 585809426, 849412291, 631715774, 259388106, 462631908, 473311307, 585798379, 905873551, 750313742, 391002361, 68500749, 679610590, 82384498, 896993563, 234936883, 75315577, 354955786, 941817712, 104302093, 713662616, 936482013, 43657259, 745642043, 405663793, 895477621, 69916754, 662157906, 108643574, 133515441, 947816601, 42991330, 35801373, 846689945, 783572043, 615345014, 800773933, 436105384, 559804754, 325938750, 603283553, 389448681, 445037108, 787491667, 185306896, 634916738, 477037552, 787317467, 959074084, 555832639, 203512770, 942124651, 552642935, 946815932, 511046362, 791528968, 910331118, 417421115, 171635618, 60882630, 695292693, 979469165, 954647745, 664340639, 608490206, 175615746, 788066583, 210609215, 662081854, 502078228, 552639148, 408995863, 928867883, 788865214, 78446845, 390010046, 956279858, 273414686, 456561571, 177779246, 215293145, 144082790, 620526520, 398982331, 234873517, 527385946, 613566832, 477765282, 278465563, 989951319, 385737853, 481073764, 240056230, 749226389, 667689555, 935319591, 540379075, 897989401, 613685104, 385113713, 338480692, 257208208, 875552232, 739900834, 742532026, 42254847, 502853370, 396247091, 481159225, 557415631, 914083869, 281797106, 292457360, 112959996, 351547590, 265676736, 923147125, 266464434, 687374493, 580794148, 716602199, 338798401, 913791489, 677172734, 738912761, 152982023, 525315575, 430182817, 354623499, 937500825, 376724848, 757581895, 876521213, 551782406, 151721898, 789720210, 342190487, 319203609, 966485054, 958968137, 513122548, 975613889, 866247534, 281738095, 917981986, 531829981, 359842995, 6622721, 904674242, 974976449, 748258437, 567842348, 638743706, 61494949, 303462355, 445161378, 749225931, 787139081, 668259182, 234981552, 462258435, 726625304, 341510016, 577058185, 992554850, 749445478, 582595339, 780481917, 750180751, 262124589, 106535883, 367687558, 971214612, 61319084, 965726400, 657516977, 883701697, 862522904, 64115696, 513783295, 999052937, 486700811, 796573702, 280239976, 234185826, 461204650, 758125925, 126775922, 838175995, 806801831, 700071822, 989267637, 910282003, 878022355, 244255278, 225338144, 881659572, 538074143, 865267119, 764307133, 253726616, 4475863, 87932273, 729809419, 268502433, 65681120, 535102289, 173483085, 798364418, 968369339, 396296576, 73922307, 899252389, 412462346, 964316305, 761282647, 255990326, 949404058, 812590373, 34026036, 97939548, 322224015, 510940653, 506559314, 503977550, 774514848, 36247643, 437658632, 479381, 51878343, 337682815, 597869299, 870247035, 663466909, 420381212, 288653041, 58094622, 9581960, 423701880, 571611425, 593983811, 982942712, 615198986, 370820134, 665231038, 466181876, 543638295, 78012277, 808025712, 110429581, 481671110, 198451122, 555980045, 252794221, 789193201, 299465441, 145553688, 174638070, 110315978, 181179796, 552120081, 995670736, 455857983, 158953526, 789054048, 936324288, 712896109, 176108370, 623745811, 385669462, 386367438, 216076496, 852262157, 392113704, 800367361, 35297933, 382493560, 153843060, 691569272, 206751308, 496810232, 948567947, 909942776, 22548182, 269168821, 784279534, 404708186, 642552253, 157290956, 844643546, 749012594, 319158474, 309157145, 449213107, 253681659, 306003941, 528681663, 947286174, 13134287, 868446224, 362358182, 264069010, 580630077, 322123947, 773675502, 415357338, 756222969, 259106790, 105858528, 30623735, 167775546, 197595956, 450054857, 724671100, 682749838, 558106911, 883549230, 269667837, 756991009, 252082110, 787111586, 56626871, 790643061, 566304803, 587813314, 77961425, 273087539, 830963409, 133834852, 587489818, 989427376, 498572580, 639829475, 751779327, 41302627, 222532052, 697417077, 52806010, 982963393, 149885608, 395105597, 645764472, 191141038, 845031106, 312109458, 729512844, 176127964, 809793848, 664968995, 704916862, 875673216, 141833510, 182051317, 992183445, 297792113, 355574825, 606046037, 194300931, 632720241, 610881837, 186754220, 720832108, 146071000, 243419454, 828709151, 43639123, 666855247, 163869981, 268559201, 361847381, 104957194, 190591744, 634468624, 321594174, 862283064, 205152266, 177397962, 556311619, 863894633, 373831766, 942279545, 653006149, 160951075, 236801325, 493232814, 339583131, 484320386, 21025914, 256711360, 849624193, 401395721, 496381864, 332735864, 217338016, 331625978, 57067206, 524966047, 567366924, 118409006, 770385788, 603521587, 306874647, 230486584, 917544600, 410833394, 488486675, 88688023, 501855718, 308799624, 198553054, 293888196, 109345877, 584831299, 935375323, 319691116, 790173522, 433793231, 350306105, 656922791, 254787836, 648834473, 69769848, 79680095, 577271913, 577615598, 83426119, 167136032, 716304509, 840447832, 554251141, 917904548, 611101123, 78487475, 472387413, 187390057, 831236707, 74874951, 451113402, 934949752, 252310862, 79253725, 903689754, 269740554, 752807142, 982768130, 5205489, 201734494, 538149812, 306360124, 504690456, 216678578, 141422302, 142708240, 334420714, 789870378, 332615884, 644067726, 846846492, 889176620, 421265897, 962675830, 944303527, 217209454, 293583694, 823750001, 492538867, 305676053, 309983666, 902029229, 854985728, 144425088, 642729776, 526520803, 366059436, 172215933, 976733788, 909084484, 124595472, 453968460, 99113563, 173436747, 636604497, 866277760, 505575047, 520608862, 46301245, 868493326, 269333051, 940295888, 595054344, 809152297, 540724164, 154224803, 873893058, 733259375, 536533553, 617692870, 733884839, 460666106, 274602303, 950741840, 468289936, 544801847, 496872794, 188022530, 308361846, 473824480, 644807993, 410054596, 482314084, 372411277, 28145300, 517628091, 494398440, 108336654, 231230366, 455525638, 785967900, 909775888, 663148606, 947641873, 547442634, 327586571, 368743086, 812934032, 242359806, 900501040, 481701585, 625197976, 906163166, 572389826, 749804175, 770180626, 423149784, 690990313, 764392216, 779926189, 145452549, 395972668, 642625619, 450047676, 140155889, 654897705, 340834937, 596247349, 253367486, 772441625, 397178326, 516751524, 656974341, 141116671, 773481839, 180473357, 636719804, 936547609, 336092653, 191634486, 258920566, 953378934, 161483711, 733252003, 212620250, 72639104, 920522471, 376147673, 351072337, 750975083, 474000170, 431964154, 604802291, 936933417, 536723843, 325972811, 81511779, 183576561, 394027356, 865906962, 408834402, 520074229, 245029833, 415970722, 487181359, 525147700, 955420289, 419546405, 35534058, 244737094, 351570728, 393362930, 864420719, 987440502, 914151300, 732024790, 517887877, 940220056, 474807908, 54332016, 450628737, 248165962, 708385943, 277002523, 540665248, 729421264, 372474544, 173854046, 848679620, 591958283, 387139566, 366709532, 490529618, 733230433, 555310779, 212871363, 634593613, 789815897, 344012663, 192291081, 754686060, 693344777, 852397477, 482465668, 402928302, 976386953, 185141768, 215267652, 159292854, 640962388, 156621561, 706192644, 946595396, 641923802, 848690811, 729896504, 199608705, 447301337, 736791970, 878841552, 30301284, 468198364, 332347314, 764408034, 62518773, 893624383, 511404789, 216219825, 459444145, 9837850, 851832373, 396526624, 408886323, 260246028, 272648477, 662543268, 884571944, 504589438, 735466421, 943634437, 987392460, 174198798, 985001154, 628559284, 274251988, 739793275, 768341410, 880418500, 364542649, 393945987, 247599498, 851319424, 345604729, 455254550, 913063364, 598539995, 386146064, 695090808, 156259258, 73962034, 588884334, 800086874, 740188025, 59302474, 181600767, 66082533, 510776571, 36633108, 728512690, 635382302, 393939959, 767127464, 687207892, 323448714, 903413875, 784772324, 769847240, 385363892, 277499606, 552770739, 198009999, 865700508, 6122709, 998815288, 639486594, 737034697, 426771340, 995923120, 843073558, 674510925, 171483616, 950272084, 473017770, 276155357, 946732144, 77878333, 326866906, 284809603, 11916753, 76483263, 491178725, 195357618, 32928657, 360264741, 368002046, 797667558, 479883567, 3806652, 100053441, 49764335, 233827150, 966165851, 299691293, 191059346, 424648450, 937697832, 891631170, 810474530, 141424072, 494037220, 426259722, 105210394, 673567320, 480246657, 395288408, 530636929, 499914791, 304213778, 715201314, 901449164, 381721199, 913862153, 179346872, 148469490, 223565496, 79303151, 994169369, 470918881, 86267931, 501375786, 404137902, 788330108, 296937007, 253346788, 845839600, 728150937, 44676193, 957357770, 152888575, 835705180, 196081889, 90926363, 504445250, 806072267, 53423666, 459045713, 761478620, 748173243, 377592615, 794069247, 46074891, 618733588, 613480327, 807958893, 738744322, 177399515, 489924779, 737922419, 339764223, 784456098, 666610787, 123385633, 200519390, 916326464, 524138634, 459359318, 432076898, 92551987, 126605305, 647923175, 151676410, 748276775, 952524998, 610607034, 535093358, 69335779, 651055828, 968479865, 851695058, 219941076, 587985205, 933745954, 259887416, 56597410, 389914717, 402822378, 904001354, 527432726, 961502247, 470139454, 745115869, 524821435, 720089395, 497674929, 538781692, 126687566, 849812508, 510357606, 700626030, 641862225, 900942001, 700885907, 735519805, 584910579, 994399994, 771534636, 311788676, 305841072, 124840659, 426699010, 925815049, 828691029, 568176087, 358396156, 770402906, 616542608, 502606997, 33565309, 756280776, 490494482, 865071710, 124254311, 505042767, 507835801, 149903760, 541774159, 680101366, 515097761, 910887206, 200928602, 25018206, 137263416, 471738493, 300829837, 772014793, 477042531, 668810692, 449670700, 274442516, 617516315, 216702299, 582885872, 630457303, 455678745, 112646971, 716419192, 820618514, 854269641, 742875822, 682600898, 27486674, 648247165, 325734409, 149726892, 996802993, 860986715, 222003754, 856662976, 18652603, 202240329, 387477952, 270113319, 679287443, 974880243, 49504286, 895388288, 22300516, 13751064, 976411258, 958640931, 221159301, 327380748, 955221902, 9425450, 181415223, 854854441, 989110191, 329839749, 733713179, 6866679, 187093683, 723886631, 294524679, 726149748, 135382460, 935085411, 495085316, 497704213, 99324041, 511778957, 543128576, 996621738, 744290255, 301798288, 527774475, 2283682, 459737942, 731435429, 349076351, 375330492, 381836982, 524367832, 997958386, 606338879, 365247869, 989070681, 423330089, 430331870, 430450084, 674033136, 699278942, 982132569, 673877576, 478823225, 588011223, 572520597, 52590548, 658849578, 109285107, 498488460, 534344859, 484576872, 557655008, 900053888, 922972287, 559122206, 484335605, 419515969, 964121136, 498330080, 183983701, 166898608, 728609354, 683295908, 951496687, 913234493, 228643392, 122451236, 326248725, 381025726, 553549307, 175233471, 787119947, 346584126, 807008210, 564651643, 744271522, 514794366, 924364324, 545214668, 658854025, 880745050, 241643207, 548526374, 998536424, 975604461, 478134892, 829968428, 612135198, 438573255, 687846362, 224800446, 678060653, 957344959, 492412450, 36273190, 113782707, 865842852, 704565173, 406187724, 973340673, 301125429, 478044041, 314361811, 180597293, 744883721, 628700550, 604143322, 451008067, 480834434, 183988201, 859180156, 375001260, 889386689, 451787242, 652102751, 167156824, 413155326, 519672357, 319886201, 300779618, 58124313, 830567026, 250707961, 513720380, 610627934, 112843799, 191436616, 747163762, 115774537, 151884727, 266636220, 657665974, 920606028, 164187109, 862474737, 917705845, 82584871, 511206272, 107922931, 103875332, 542355762, 297863866, 700687804, 412327941, 263152644, 319526495, 387630768, 650176479, 651400390, 522673786, 50844782, 887565269, 395477533, 706752245, 508399207, 413363997, 445076369, 169200104, 130908062, 768044002, 347537954, 697579513, 796408345, 132850467, 597617278, 602475506, 945958255, 23823331, 970944437, 537329692, 103848475, 47006196, 525250853, 323465378, 345220343, 647712376, 620256803, 561723687, 306535944, 147888705, 759909856, 313402006, 525375313, 871856491, 301130834, 137546158, 499821461, 714292167, 580737118, 84985910, 468713941, 728211737, 464327518, 280414810, 846609010, 5789267, 711396078, 721326933, 838225532, 889825409, 296774397, 573675103, 296627806, 694496114, 228034366, 312583229, 413396179, 650706030, 810763132, 656748092, 326338824, 367130339, 963050464, 612700577, 38078765, 369620097, 402721352, 612846892, 719511018, 887400356, 780477034, 405419444, 639851418, 636069705, 807024698, 324792234, 448441139, 556194397, 962751237, 397277287, 250853382, 117616066, 333782066, 56221931, 346456768, 668230224, 205064744, 674434480, 152685602, 333711527, 833552139, 946801018, 134996218, 396930307, 704721069, 586389265, 127493541, 293380144, 315930416, 876779591, 415510520, 595467505, 186618457, 571640009, 210841865, 115248499, 697830266, 785552679, 691774331, 531882328, 320296450, 319948371, 948942538, 781146654, 125631270, 753976436, 933707675, 286978444, 721564824, 110497466, 360327851, 220193725, 969813144, 133861104, 86184704, 645801405, 412238564, 524205942, 669156985, 725418297, 572124885, 235305580, 620443728, 378158887, 992849496, 944447407, 289657433, 972558855, 760792668, 939409858, 113833843, 121870897, 989112181, 968319028, 461233291, 313896944, 166320624, 978652417, 828343576, 285392956, 930176169, 479437221, 909866334, 327089606, 741593535, 695211265, 653341008, 493140645, 943135234, 892369361, 391458871, 372977658, 663522758, 70745703, 296573451, 987563405, 930230329, 818530969, 468783218, 284551398, 785158843, 422830132, 866042448, 539399871, 172742336, 953610433, 735901718, 755671210, 24687842, 918059021, 891693651, 773627646, 262804676, 845835876, 104771818, 330078383, 673195378, 199614261, 715142396, 570957848, 195133203, 659682907, 551511513, 597871569, 389806908, 728219943, 912136988, 922329718, 980340515, 786933442, 555838838, 348248307, 995182610, 553338903, 634432486, 238909929, 505060720, 60007623, 332681811, 229138999, 750056366, 135608661, 867659239, 517673397, 214592814, 329258851, 110379871, 536266069, 831653225, 156869239, 57866175, 372771662, 198587103, 232800264, 582995445, 619477519, 145249641, 994266095, 883176178, 627987925, 673311512, 359530039, 223425877, 668057290, 320699950, 712859313, 576683225, 752391878, 967753571, 992482062, 38524512, 810422231, 190495740, 990497174, 682326920, 783553180, 586085802, 913440283, 245612384, 86481359, 507195397, 692434313, 24230073, 867891023, 985253645, 249976897, 211546544, 132271048, 68067628, 862357524, 158078750, 758267781, 114455258, 712586056, 546994934, 808326761, 838981173, 966368905, 864995256, 934999680, 276125059, 979540976, 399015349, 329343570, 623837261, 904989746, 995350662, 974746624, 20126639, 256669532, 644585916, 906817904, 622607804, 680167615, 64433292, 487201484, 627663049, 356459009, 993489733, 491229920, 295500541, 198780092, 331908340, 842045201, 880406211, 340937757, 325862857, 243407439, 658087317, 956308756, 644062108, 873353301, 183457389, 378005760, 409772395, 581053569, 751042001, 993256723, 324826774, 608797529, 815824680, 242532832, 880535373, 317717750, 672372272, 371416030, 431423441, 103602024, 67109546, 329893263, 988786735, 224973953, 724462393, 427459818, 327145347, 277712776, 394072537, 584870600, 266303282, 836513660, 300418431, 2665482, 215218726, 273713571, 651405723, 571305561, 834307748, 29659598, 137383013, 292524, 901038717, 461619099, 41101029, 971364034, 679805575, 244587278, 384179079, 318209343, 620799662, 118743259, 168203256, 435370432, 317463526, 972645750, 344845525, 280522222, 329343261, 763470329, 253303267, 43401087, 633539460, 904801161, 152589864, 129198178, 698207955, 688597268, 759347235, 216463268, 119184452, 230246787, 483164029, 90684422, 484813684, 995044366, 647524100, 250111736, 31109154, 760403936, 355380622, 220397008, 877296750, 576011695, 526398022, 977541168, 909186901, 358538309, 369908689, 976733050, 395469033, 618950160, 148817624, 96391011, 841554406, 886450972, 628474861, 168667519, 693433495, 976034748, 584654523, 972189615, 696216855, 473742137, 586122783, 334414483, 418400651, 102585734, 198955796, 383351846, 89621709, 186397325, 901228819, 206592579, 442678482, 646847024, 215762963, 705052374, 166308595, 236009260, 308007156, 733144348, 911714719, 576867231, 350502547, 517696144, 10419386, 373477478, 500895193, 682732667, 352496488, 337175771, 732797690, 425202741, 189448651, 861389089, 125820957, 475905145, 390855792, 122541166, 589138727, 703690873, 488638808, 765217488, 245796100, 327336741, 409359149, 940996252, 150631338, 471300375, 986460604, 894064038, 1271202, 434271359, 546018019, 476511333, 16274396, 595108601, 380198879, 559298182, 384680037, 110631233, 189454993, 371278246, 438550068, 408497749, 234126240, 585862047, 71382324, 197836158, 841610406, 358700792, 38659181, 120561653, 237770088, 636994454, 61088040, 437579765, 976439946, 676199075, 319278431, 680302593, 631122874, 899726990, 125230482, 437347682, 503862589, 909489156, 370869300, 572185459, 436662762, 66527855, 575593536, 134605578, 833703074, 927607631, 219336839, 6906079, 490219673, 622744038, 994220801, 327163518, 887086762, 676735112, 347495993, 876531703, 55373820, 819152967, 356113070, 232027931, 189446369, 162238011, 344681371, 394444617, 299084855, 927274627, 925424622, 472383396, 107913977, 555582312, 598634062, 451341034, 832988297, 711016734, 555276702, 892173115, 190973611, 697102582, 840375991, 123038610, 212299011, 491374175, 772594350, 584439670, 277605241, 928636891, 804987172, 445970535, 355038974, 617029532, 589983294, 682217758, 89625762, 803571486, 593180573, 484509209, 947433617, 86872088, 285874384, 960332023, 434347604, 622491942, 350191556, 843130289, 341556911, 507105248, 239449109, 912622725, 581724026, 722136006, 691139400, 703803324, 935445408, 555548639, 914421790, 116080079, 9294548, 848156274, 499314704, 7342392, 814923956, 92860087, 220102440, 634212351, 679221602, 920296890, 388852010, 642053629, 807079836, 922941714, 820219917, 185082979, 235055663, 403019282, 297803197, 930570216, 855126672, 914359065, 287327286, 877444406, 432392221, 398392751, 851638454, 514697828, 218853487, 730052752, 775191292, 725225009, 634512699, 350910894, 890116956, 308432895, 708563535, 804739795, 751841678, 152162816, 677584120, 837057032, 444390754, 589864873, 645654364, 66226096, 73229082, 377199914, 839959549, 952209899, 769216269, 133837249, 674305692, 13606016, 76489727, 625780525, 665901670, 671489906, 547958357, 20365291, 910977788, 416499743, 72598511, 762595046, 616621649, 425171642, 114440826, 640871155, 750138018, 335887902, 210052080, 124424056, 421611272, 547746156, 621604874, 811503057, 972326559, 909589502, 50174297, 142719028, 368497648, 840597435, 87540760, 640825534, 953150151, 197124631, 283419391, 241154464, 563244807, 829610363, 55522671, 746971220, 861129400, 535995036, 4215625, 933231512, 342380750, 520767203, 679638508, 210050792, 558489503, 576267227, 177348452, 580515022, 383894600, 283750129, 766520363, 506062684, 446629186, 279138609, 284978643, 859734483, 305991557, 315187158, 974921157, 117576867, 169089999, 925761418, 764373041, 405651415, 647875816, 53415649, 491300306, 723776343, 221852702, 372818911, 743061445, 429331787, 232384, 128746533, 489187589, 126689009, 184608888, 25045905, 184934206, 955719495, 517276052, 83447309, 367792505, 274706927, 345760393, 920153104, 854530779, 956425369, 986933640, 900088347, 234028316, 189010951, 834443404, 332383957, 720470590, 493349935, 623682564, 771936958, 629287634, 230042467, 120160190, 128074868, 972127117, 428933190, 31688257, 831349278, 717314750, 526708673, 966963183, 157001778, 526208230, 442311495, 50603303, 752250239, 949894597, 603541187, 6269166, 922597839, 755528875, 300932105, 954591827, 810255418, 777227661, 707459169, 100480160, 502639112, 343216866, 939581098, 68653891, 115840262, 122262261, 952432533, 918594966, 699504172, 437275013, 647702839, 736325185, 597375337, 900388168, 218015160, 93655587, 88257692, 162604800, 20672805, 571083319, 328362800, 326033993, 871864315, 704539602, 693795848, 268722689, 575146902, 544684235, 223700567, 789120757, 994333602, 795505390, 763615908, 238029391, 640693473, 184815452, 630113412, 72071330, 295628311, 430088647, 241075639, 278667254, 749705384, 664147718, 125130661, 993682714, 544763375, 903367057, 542017263, 726764966, 220151078, 229955686, 5212841, 440922845, 297316977, 858145969, 92622074, 141001854, 960320811, 764211441, 729251622, 774205031, 522150538, 781133985, 744754267, 362391736, 469529585, 751349436, 953868544, 59811003, 614778948, 894074215, 949287753, 793052735, 236202071, 255051005, 180439030, 383519238, 265909058, 807498554, 509766146, 886416122, 50880873, 458742912, 429742515, 823121209, 409883806, 62630351, 225481646, 525314727, 360855493, 926715425, 558581733, 96074629, 56471696, 604239828, 662595248, 235077164, 250607577, 462515565, 452300935, 628372017, 426346660, 653144897, 521868355, 955790793, 355374280, 618179015, 260855274, 35277335, 377535052, 517302416, 127035430, 586928688, 320411861, 654938124, 629723419, 167412238, 912487835, 510492008, 815020417, 31788417, 33529360, 65186782, 759977513, 960720405, 818056734, 868804836, 766835333, 776352926, 63367556, 735909085, 889872994, 49765661, 174063293, 245237911, 449418849, 682970022, 839172805, 463939462, 100736418, 380402157, 9061407, 548163824, 368840454, 84615631, 257757918, 182127386, 376794701, 65856158, 601753845, 670936689, 317886345, 341748076, 806444113, 3737778, 721181926, 32647468, 4736468, 10918975, 423801524, 560284523, 650483626, 289657048, 698364862, 58927298, 598768927, 804287668, 920878181, 77898939, 72452829, 783763756, 249048354, 573063387, 631533880, 202741975, 643453093, 617659082, 33643917, 483505542, 948412732, 846131071, 743930, 711856856, 296980839, 483010592, 436519969, 11190890, 708922535, 148094106, 579583246, 577829389, 746848688, 632920240, 616367274, 375545667, 793456996, 741810189, 394206866, 434039440, 959454100, 849854952, 319106341, 883123155, 654999752, 132785683, 195809817, 616816108, 592308316, 130639031, 801536267, 448027297, 456391331, 415067985, 320675141, 95346307, 72945622, 64121938, 405322477, 388802816, 389599993, 799007370, 645482210, 326781402, 67604548, 721508019, 549669015, 6934247, 851855876, 603204343, 559726058, 432817983, 516100652, 667962146, 501070070, 42266921, 841233220, 977458990, 318723580, 246398453, 654783477, 825836134, 162559306, 143289014, 323071962, 633247251, 43039917, 268058280, 754633280, 845133748, 191928692, 887548131, 128541, 13948703, 803610402, 806522931, 851623468, 520461919, 929480302, 259414838, 531434782, 60281330, 886313490, 200667907, 787773947, 617771333, 260405048, 817086321, 805698257, 71375144, 756957149, 13486796, 717612617, 686063691, 15213485, 277778354, 490540748, 7007016, 452304510, 91141491, 839657227, 53907887, 475468234, 453265091, 923008830, 570124892, 64231546, 397691429, 188072356, 591490965, 933097387, 817134155, 432785777, 775343623, 302451124, 227795582, 228841479, 98800598, 704272462, 654840714, 640935261, 813973555, 654728203, 448787508, 911383314, 210486298, 655880496, 672453622, 437321762, 729855343, 352752534, 236291785, 341980717, 915027601, 689301897, 278836475, 942793486, 578152146, 472508049, 136121057, 416755895, 493246860, 488641408, 973216434, 459385216, 136088924, 579924464, 388400813, 13195159, 775011893, 17663574, 465973123, 131356934, 569769804, 984198730, 953264250, 252183195, 532346146, 754390766, 626612734, 594561146, 942816846, 116112412, 965321568, 980368854, 418148218, 630254272, 180102482, 778418086, 801146575, 23520247, 597264595, 582591953, 848193494, 242049540, 587081940, 55372911, 163529373, 6597606, 710057761, 265927480, 183631325, 581225743, 362932861, 49004629, 460152851, 529438055, 822430771, 798950224, 495435605, 148360068, 549387665, 86923119, 511997226, 748201368, 911514329, 340058083, 916915838, 989430614, 716587270, 793730435, 603430274, 702680784, 140199876, 289341908, 847530806, 716934163, 635505378, 806661448, 840708180, 383437566, 335990415, 611797694, 762895183, 292734082, 362255094, 467994684, 584189206, 548896020, 395742238, 26365817, 465620147, 368052838, 834434978, 477330746, 624248485, 396403443, 465779826, 740952398, 93001567, 275138027, 564041897, 839787464, 567082944, 477432405, 236387712, 230458838, 371799818, 991120726, 342076033, 954237051, 553643873, 608140350, 278259543, 952913556, 669117032, 162463966, 581386365, 292386153, 312967626, 557488077, 722001828, 123129121, 682186795, 831279410, 448654567, 658821312, 116391311, 541782326, 763980852, 184938202, 318982151, 651407791, 351365424, 520278092, 890359285, 876675294, 182822782, 18748040, 916571707, 750587716, 278555242, 8009990, 126607627, 8323219, 605058452, 969321900, 176712248, 485398843, 227545829, 55758292, 52880424, 497547351, 686894369, 119244350, 637578478, 807175975, 646890547, 621748480, 898435345, 968654831, 918716337, 47190041, 974512999, 270441707, 679237163, 830257507, 652152960, 681011783, 843800897, 735032661, 145424971, 620328333, 139930119, 818019690, 991851758, 446815153, 767831439, 924813682, 510081042, 851256241, 186811769, 891451206, 446773688, 196164199, 214643654, 910341835, 637520024, 172065480, 887573010, 700997131, 531733496, 656672082, 36075340, 664335614, 108372306, 495177697, 841693596, 619225803, 393083816, 48262744, 442105323, 37990760, 923595516, 773580990, 742932707, 874130362, 86535282, 254622390, 46386604, 800219045, 627094331, 570881064, 417315119, 878168401, 471621287, 965360993, 346737256, 772113295, 571678353, 102222720, 356769943, 801308721, 414093192, 7274657, 297140410, 900476622, 26545369, 330836775, 781778198, 189015037, 301927085, 737704355, 755271210, 451584653, 743869747, 952811301, 204992213, 846888761, 389810920, 790341554, 374273343, 649743534, 944740304, 126553505, 448897970, 787676728, 36720535, 685601135, 546688979, 758263620, 766166623, 831630231, 328622466, 914611096, 405631388, 296847439, 389358530, 605879232, 557670692, 27170848, 978622976, 276222900, 556902984, 832945328, 816863085, 523227373, 124927231, 546915054, 938785584, 927487954, 101424099, 399756993, 681275342, 89120137, 992215643, 684064376, 466859536, 935208624, 401920582, 263219327, 280287859, 605028222, 233931078, 244555238, 9454390, 592914144, 904953631, 21541492, 133371738, 798172242, 759785395, 125284326, 173327525, 435343047, 865305356, 605619062, 947865034, 804190994, 749830301, 719047130, 446471442, 431901713, 593538832, 792773282, 108359957, 401824407, 581195461, 371443516, 779789087, 769205262, 824721709, 601456405, 485616383, 185544580, 95385672, 297682149, 442739750, 85022014, 480946068, 232546994, 437720966, 197141447, 452344290, 475346394, 448968866, 556880073, 235260629, 741357253, 969813968, 68715074, 657033311, 836737364, 655196179, 403647660, 916100633, 805881321, 467378822, 816937888, 790551592, 390806718, 314687318, 54278481, 402885488, 862114635, 392390476, 98850108, 162298090, 876541434, 326488770, 204919626, 461286844, 195632246, 868570469, 137157266, 450948928, 526416205, 555660735, 216343143, 35886438, 525808681, 959312986, 679788284, 772376614, 940967231, 474988741, 167486380, 219420893, 944251785, 66285368, 616133153, 997395884, 899104230, 768787298, 385221046, 685913055, 892972249, 932064476, 785378186, 659973230, 848832618, 968344528, 505944211, 507114713, 235289417, 918163896, 692505315, 834927456, 756195638, 37427989, 341549252, 943622643, 194055173, 461959777, 970392575, 99217183, 914418247, 934314709, 948122650, 357117528, 460256407, 57147611, 648063189, 897179811, 733995206, 530782294, 133743367, 103618827, 299293793, 713124880, 179358768, 249518162, 302670054, 290429864, 554726363, 819151452, 730553853, 514463096, 370877976, 255852831, 651401778, 606842639, 60721709, 220761774, 444053767, 884453197, 504646309, 921344230, 529398215, 943939959, 43454959, 795249684, 515658780, 818350977, 314270107, 726271232, 843665591, 67458445, 320394839, 637780031, 169937442, 787160719, 200208585, 204768851, 305296710, 386984798, 105196401, 408298448, 610609537, 22592327, 999077140, 321915257, 346366718, 292441921, 744917334, 605218192, 427501465, 901289145, 869043943, 276640175, 354058877, 352450856, 518532572, 538221075, 567350761, 149051501, 702656305, 141233430, 240610869, 550509442, 520758643, 160914009, 647178859, 76449582, 779024598, 250046377, 378744548, 513531663, 878425057, 617538842, 298370855, 699488348, 228206810, 722830496, 453503962, 436791122, 177593047, 356773497, 548572252, 640434155, 166473740, 971968542, 479297232, 96198247, 380111658, 608803298, 75052686, 759147855, 617721202, 143741817, 661602088, 880098795, 604182246, 125336277, 49877053, 34548867, 570896299, 888150380, 72907235, 459960666, 870237203, 172094126, 141538958, 895282074, 355111110, 848265364, 6704928, 522419913, 968827293, 823328680, 270896549, 706719677, 149619187, 287429763, 754377052, 507202626, 992743343, 990757015, 214437200, 209904640, 642019325, 746459080, 599636726, 488022744, 953893170, 153409683, 657933071, 370525149, 351468672, 194576011, 842767546, 33057, 225090164, 757950439, 368141655, 552226479, 31359432, 743706892, 442623670, 646948925, 838333757, 814760907, 480914407, 862033625, 706789671, 713642893, 46287214, 88831530, 961140999, 445781649, 300458461, 560143054, 784986980, 660938773, 663212491, 482549052, 605333289, 967370204, 218206398, 849976133, 901176090, 743863425, 114642946, 202590218, 651005392, 216645793, 799057299, 364767266, 619375310, 778945782, 848890405, 381488849, 845815373, 520448078, 597026690, 203342712, 103184205, 398891166, 521442381, 372682677, 135134729, 206367196, 332376787, 462103570, 210200967, 768681256, 382192136, 362401990, 374954224, 668284735, 110094511, 52476413, 219511306, 12637816, 177198682, 486433255, 171661952, 730556114, 38820146, 722637309, 557980333, 461208812, 152235679, 816228319, 453300754, 223532473, 520790128, 946809769, 637886279, 84171018, 712702015, 291973126, 993493794, 551298327, 217660394, 610901649, 904379303, 256879979, 980553146, 207079755, 289881296, 461453215, 741148609, 769133734, 244262326, 447055210, 550402450, 274057369, 436419980, 709930607, 487361319, 161597939, 615414142, 940420157, 165156501, 561417111, 229040581, 578885580, 368835808, 760980160, 452734404, 337934681, 3315128, 55233429, 619285614, 442318876, 573260694, 66271070, 703974984, 369485891, 311073703, 508785052, 676163350, 585732715, 815869603, 692430286, 359447110, 950855123, 659053977, 815807927, 860378567, 70223700, 511820699, 196837545, 784728013, 131672076, 42892773, 376068736, 911982463, 80798098, 515712249, 221974133, 148383753, 797663870, 908814999, 581344672, 549012261, 72985707, 372284951, 184119969, 460135231, 615914409, 668543305, 776191559, 119414179, 649559894, 428507884, 514984443, 194695522, 103878983, 250811486, 362369938, 882373766, 443020108, 602484135, 40281377, 772412226, 452973083, 305600188, 938049828, 483542563, 718497324, 187128782, 294634681, 145774537, 999840436, 868096855, 690784224, 451136972, 890490038, 676442403, 219850051, 337947119, 35556822, 217588532, 467499312, 327054616, 206119070, 532785811, 360204811, 451828340, 652759019, 23275788, 256866858, 945300335, 890975666, 601563775, 187551252, 374284843, 437182482, 227680064, 472966274, 790310295, 709547557, 425227694, 693988265, 904046356, 640487227, 594988499, 571741202, 630165059, 557312568, 500463297, 605221758, 647986367, 13100109, 947479680, 365662029, 321825758, 104495209, 257268029, 819419290, 923593954, 679503020, 110391213, 973494463, 321013779, 796313290, 19891823, 112360900, 325156860, 557562806, 133392328, 182512378, 578233468, 513223587, 143464387, 668904644, 508763604, 420416416, 347022086, 464746581, 217997224, 965033078, 840805883, 392585432, 378114188, 502312553, 706204727, 240852805, 554731655, 555855622, 969074772, 878541689, 291079659, 234461704, 265735317, 578628270, 630066211, 617611411, 614756556, 432680618, 506644774, 273705391, 853518284, 944757304, 134688505, 425190142, 786155015, 447927499, 281438999, 265643492, 775608158, 644842792, 176291337, 556294405, 614429562, 653312303, 77264730, 209766134, 545702931, 409037798, 812067719, 703858040, 875190548, 667146978, 713926731, 945888913, 940819321, 386664157, 365583076, 715116161, 43477113, 550741628, 532103657, 665685383, 791505484, 681837388, 946733680, 832599074, 349570595, 15480007, 120784291, 837278084, 779863437, 965608893, 551180002, 41886636, 578383287, 454924643, 999028303, 648966755, 741336997, 593536591, 65740948, 362020726, 518218849, 640495427, 483418543, 622575356, 155418034, 110226931, 216657821, 666656955, 584606375, 491448759, 956087708, 159214277, 910034857, 315946950, 355773330, 588527314, 712570910, 612529133, 662935433, 531876812, 842860336, 409244660, 504363670, 598338775, 448117849, 254479755, 757551275, 240890696, 779738256, 291245509, 731586472, 654721303, 888990568, 98322842, 594921965, 284895538, 648922231, 754067479, 726228569, 342340223, 236259683, 472211605, 186167998, 829894773, 444927358, 782119357, 693600488, 436851297, 103064180, 222115546, 444526840, 605578599, 176587866, 736973798, 473086610, 74101891, 762745807, 854794122, 541897801, 187198378, 632407095, 536862994, 120703424, 604573334, 464315876, 729453392, 781448295, 782320759, 948980113, 357587823, 150233004, 291149587, 731564774, 413682917, 610311931, 683360474, 675247150, 323802092, 496184625, 743022134, 34196944, 259929883, 976034591, 484787059, 940794516, 602842406, 128087058, 204552993, 329963919, 595147756, 373203080, 342962348, 889378250, 129697687, 370872758, 789493700, 782375648, 913505252, 582185331, 847391977, 374901328, 787135007, 722567593, 444681766, 185442461, 940246385, 246532151, 460032693, 320527969, 669436954, 876930300, 214562744, 713522966, 276045913, 520408452, 24480611, 514346684, 400147134, 972418751, 131374302, 415982421, 860286275, 493929934, 334621196, 436875290, 715716170, 592387495, 527723524, 728780028, 506605524, 688973166, 671888141, 905386111, 520383626, 862925921, 830575591, 403104684, 106425503, 331808456, 188089443, 10815219, 565642939, 358094969, 867175074, 29066438, 924721666, 544286766, 949220361, 830356434, 322186438, 797193948, 999088195, 944168751, 17296315, 890667968, 228600007, 689463800, 549461114, 407062945, 992741540, 644421095, 256227231, 449048778, 511541812, 433690742, 471926479, 298416439, 922848226, 463237372, 696399197, 990165276, 126746212, 929465355, 171829000, 688944091, 386745327, 30684224, 583176818, 535162625, 57037215, 902111214, 610620379, 779236177, 721063716, 907064426, 194030915, 275393172, 627252200, 464694205, 543426838, 302281508, 598425543, 154663581, 968630936, 70174958, 772688641, 460094785, 845398822, 923687205, 119662297, 12986991, 329973646, 229840711, 888382852, 929917485, 180103723, 363932208, 965428031, 705458355, 294353381, 532132948, 900202384, 47863497, 43684819, 290522645, 453193026, 389886117, 871853160, 65327774, 592273774, 791906761, 303073314, 825127167, 7861424, 652106810, 707997475, 853473899, 288078750, 296366579, 753958320, 92979083, 880497856, 580041700, 336240302, 943001247, 558273475, 666893107, 232852259, 910943303, 734718839, 992576534, 972667864, 934536176, 122186083, 798138702, 878165482, 987682975, 415555455, 638826798, 973746721, 748252865, 605406427, 395229697, 916495069, 808527122, 764273058, 504442542, 942513426, 53045046, 998103045, 402982620, 610150125, 78643856, 370691006, 606947766, 699127215, 581310088, 520189570, 731093766, 200942881, 410997201, 506764123, 270889434, 3214019, 67917091, 192861192, 118168651, 872261890, 614385714, 253792561, 29201571, 974773766, 191634218, 549402052, 932941723, 453093668, 222666012, 971800714, 90668489, 736496201, 973834698, 323221978, 181780500, 370769177, 601972012, 464746187, 820205139, 5631204, 225121752, 999690739, 218099399, 914055263, 468644838, 27536217, 437735413, 82202453, 336712227, 957416531, 609854370, 91358152, 685143970, 607945368, 323506158, 499834623, 900243029, 17405950, 155272930, 299324309, 501638246, 188885176, 950085620, 957576258, 795527746, 808378867, 974679676, 346445754, 663524805, 410945110, 194188112, 481769462, 719420608, 451804077, 549610158, 349558025, 679008651, 189047350, 613770535, 564426911, 999313000, 379723930, 829627532, 68213419, 406843175, 765938588, 982766631, 109028515, 508739701, 937509627, 241297356, 547559258, 570983840, 996991456, 715856085, 901737485, 935048656, 354467528, 49428885, 578632410, 611433240, 631619443, 751726794, 612270331, 373695102, 545065749, 744959829, 371470059, 739772678, 913550211, 167484129, 66634279, 868468519, 560011929, 570066733, 978652222, 278915183, 497105318, 501406252, 505469007, 44424902, 861468706, 655961020, 967413462, 269595980, 961337940, 61978990, 721043629, 259634431, 836576635, 885521519, 546441422, 190080486, 806491576, 416577696, 911560487, 555314857, 827301887, 65700299, 95583493, 989384574, 932878488, 843009525, 901915327, 175894974, 346037861, 281003195, 883692425, 419706572, 470318984, 70227489, 207090707, 941495333, 918758130, 662850211, 101330114, 583187243, 953062301, 384887919, 108018284, 450598564, 326501138, 930485101, 300867470, 267614698, 447740996, 881038602, 368237118, 413718958, 505675570, 88786161, 892089332, 839845015, 745241488, 285892382, 209713032, 911931071, 676073164, 759319822, 781061092, 190291952, 742717837, 81117746, 904929968, 892834302, 987145938, 529683689, 471349853, 885797666, 743496573, 906527721, 886027926, 905291228, 103945278, 315591141, 91061696, 753720009, 26178002, 217917690, 951492207, 951406264, 369770442, 441621808, 621470889, 667286255, 596259589, 422938507, 939320694, 535141947, 57332918, 877994421, 188347799, 338590617, 13682392, 83040141, 664788894, 776147858, 891525260, 302886385, 903522802, 217885392, 597132833, 920161087, 960156739, 409495545, 998535992, 8917970, 176154406, 38453571, 668158421, 52500275, 274086399, 296723018, 997397688, 16213568, 724741923, 624178400, 705804348, 778000057, 647593158, 314325022, 227594710, 564258072, 368451036, 437069493, 108946197, 118469114, 38843632, 399539341, 294386849, 622196728, 270713816, 753365648, 701083767, 174267094, 554640305, 191358519, 16899022, 140901269, 394250193, 746041002, 637316636, 224800036, 702358732, 723810604, 755404900, 410025473, 393850672, 196035405, 409421379, 573665010, 883218846, 664923003, 662585796, 405014269, 778258328, 758945783, 31098884, 470593804, 835918086, 654029947, 299107080, 630252741, 784651504, 824280924, 531336009, 729832690, 19250974, 832861208, 493183055, 898480941, 459502292, 588482201, 111557187, 993019915, 641188960, 640672998, 189700268, 819705047, 385076358, 104696782, 771313886, 534769807, 156143141, 550616193, 832417358, 244086153, 943943389, 367451730, 828534121, 886694721, 836510198, 67701662, 564481459, 602836040, 410216558, 106992468, 792801219, 549645882, 759241084, 399824233, 209316885, 522901372, 149102861, 762357531, 235701969, 68577912, 901337136, 473930717, 893053762, 750922847, 144041187, 186174561, 887627528, 205426865, 589009819, 87107494, 920196240, 983140536, 102121639, 783686011, 97734112, 425404216, 982190774, 387782503, 869494970, 992593396, 565442077, 469391335, 226832602, 197033040, 911039500, 457228487, 432352132, 77077779, 120261726, 470304300, 322034176, 370805045, 291436924, 332229928, 395352732, 41563722, 845389930, 381878511, 325863614, 397889250, 695119672, 752493429, 92762301, 473841878, 495959726, 727357277, 231784134, 950186296, 961684510, 821247368, 983495697, 345894586, 898191128, 246316098, 580022122, 294050132, 974283293, 169991162, 94307333, 696229949, 715721934, 62870355, 493757314, 69302701, 571791870, 123982466, 548294631, 409693909, 220827204, 421438557, 34618256, 547935185, 965860576, 322835389, 521530010, 955908493, 868139673, 979753097, 513067041, 842606279, 732476154, 111138436, 1657182, 870130807, 423931151, 559675266, 953707177, 553313698, 819382176, 364562663, 303699218, 516464167, 363487640, 307656948, 8760029, 758736431, 129262889, 672525553, 26049884, 278808835, 255337588, 120612924, 818270566, 713988212, 790347750, 19099710, 92695610, 376725301, 404270887, 716722565, 582533559, 889958979, 102641439, 501914051, 926757613, 14633289, 653476358, 736415081, 970267289, 650287860, 670710925, 855085978, 891046183, 655795636, 431892716, 679211064, 248380657, 837610515, 676163700, 153629147, 459229857, 671573062, 830281455, 596057407, 936670166, 287013197, 192164446, 980990740, 390816208, 934542498, 631076711, 970641919, 467451663, 356901889, 920627624, 843378964, 898524355, 761808047, 663799447, 590479885, 430072083, 57564303, 369798365, 696972611, 452525695, 765701606, 226838962, 539619984, 896814690, 397521927, 695447533, 81296124, 787929606, 439955988, 983224675, 161635573, 854381594, 177129388, 185547037, 887624794, 221931249, 600816462, 733073665, 910370145, 114686897, 437485077, 863341806, 501838021, 9053931, 759546133, 312968900, 254634339, 709225937, 300649094, 995732236, 743435725, 888926342, 962819185, 700389830, 853288255, 822977590, 607231344, 603294436, 254202060, 956995867, 785615133, 483367706, 538049782, 833595097, 118652448, 53600746, 565477479, 875515443, 320488266, 555304249, 622984510, 725781097, 740660225, 915004905, 125795075, 231831629, 320973517, 971375215, 416413727, 19369321, 818811537, 638517355, 732642423, 404738070, 883768603, 221945452, 628630828, 447463835, 213374755, 793083226, 535617260, 697307058, 891073176, 49462967, 915659272, 406236695, 4172174, 967581898, 589077504, 463557772, 587011878, 25681370, 667278613, 824751350, 138415654, 818998509, 244348375, 566289087, 505379178, 719960320, 425268390, 833923057, 107288952, 232791640, 903518268, 819430027, 635068909, 204151962, 203995830, 621749655, 120617360, 141692446, 796948433, 859910161, 307679122, 458190182, 301631516, 408047460, 827044205, 945829145, 438580256, 535655861, 654752002, 820438095, 552227983, 65279650, 245565220, 457305011, 539439573, 461009708, 729321239, 954511080, 194765059, 708304314, 446710905, 621024607, 337774371, 800347618, 971344589, 250340891, 971065072, 525152759, 235402812, 259290305, 539441840, 242781598, 246111995, 26879317, 589926868, 436576020, 980390610, 937813048, 634376378, 587584248, 777873570, 836464431, 372479223, 368949362, 293443707, 242779055, 810758409, 610296916, 717914911, 571331642, 75452382, 375425906, 281149284, 423107974, 150049876, 869311390, 902039205, 413717965, 41118469, 461367202, 916379846, 258965117, 700325562, 303092891, 86800329, 49310758, 952473190, 538870766, 49466714, 735035154, 524113292, 164599405, 877290077, 446531628, 654727039, 565450812, 494589836, 357049151, 97030971, 677413473, 69086640, 982706192, 819680197, 953099202, 647453216, 758805489, 690820344, 390630169, 754051408, 155446519, 10603184, 369554723, 350714089, 373607463, 104246760, 678068028, 886424273, 101591392, 854029229, 899238578, 609541379, 943451378, 677655517, 365804023, 517987198, 316097811, 630337763, 118921212, 20608702, 853172095, 529234628, 414138542, 434625299, 410545284, 764998678, 960152790, 580552277, 596193119, 581276702, 665324394, 457100260, 133019534, 873634210, 53255530, 497985717, 669282348, 571546133, 241494652, 489182388, 810737001, 774501013, 680226697, 200465027, 693491541, 113783516, 596327367, 676374254, 120806007, 496607189, 262120651, 278992181, 75721762, 854949310, 462051187, 655531299, 221589171, 687083955, 292734943, 314006533, 946191589, 562736332, 946955199, 570265764, 733648586, 677492119, 444434066, 875130968, 88914647, 553988425, 610849011, 189275568, 512186308, 64714314, 892718001, 928762219, 668824200, 191816319, 994183189, 695340557, 511358681, 956444470, 891323066, 686607568, 990877883, 208053993, 953333254, 101824103, 240541336, 361420109, 902559492, 76109821, 773081586, 408338839, 154495692, 784722256, 189603220, 830282775, 861839574, 216865899, 172486948, 723052708, 796607840, 602166123, 654981828, 646781070, 486580438, 373212519, 874561697, 554070373, 167441550, 750171145, 118223373, 300683884, 981300789, 432653897, 766230010, 106833584, 964693921, 386664714, 626962744, 11473185, 314015696, 2672577, 312071384, 275603243, 694392504, 166444513, 587020837, 86475791, 294231551, 215741055, 699764571, 116139525, 586501687, 177722947, 564474623, 652038712, 511882547, 471977172, 815783462, 531546739, 152910342, 16711971, 425667472, 37533101, 600003268, 914653573, 402056459, 433868203, 229126770, 769215350, 375429561, 807734105, 75324370, 752198179, 601127580, 771601530, 620581496, 373249689, 530186652, 957848364, 853378087, 487710824, 997238512, 867921136, 542672403, 705186705, 54122350, 559808962, 493820787, 142427631, 12509719, 522143765, 110733668, 516362496, 840929793, 771843860, 979094839, 67840472, 885942071, 51138090, 760613808, 226511243, 186517046, 181640884, 565507634, 574424189, 297063504, 323851881, 103760229, 241454390, 658225333, 26368553, 178506139, 637315973, 539727341, 750232099, 143616984, 68083813, 20134678, 499571753, 770007381, 712585131, 744480811, 706305647, 441987970, 619279583, 336872586, 210455073, 75966377, 871530093, 134922569, 166714264, 17639355, 578345769, 145635, 332270560, 283219630, 625282943, 84102072, 269936478, 950431044, 783972134, 525673851, 402641490, 354256278, 265235451, 702634934, 865872523, 739354480, 466181327, 512846015, 27833641, 292351458, 44133307, 899987661, 329438586, 751599880, 588113901, 907508690, 561087799, 95427431, 436519310, 159846905, 139508027, 642572586, 211911196, 784693506, 808923493, 367118805, 660581143, 157778860, 678716255, 735781260, 463543857, 901630623, 929926592, 432638269, 313909667, 334644815, 94732082, 472254851, 41725816, 813657249, 831659891, 862483890, 760375856, 165957802, 138950716, 548867407, 788856493, 190796801, 312834157, 782140171, 120039234, 767506325, 581444432, 995401619, 360786105, 416813730, 49064924, 78119635, 638015791, 855921776, 311067115, 254350764, 499887089, 749059205, 976457171, 31214816, 748181237, 836496917, 250619827, 630893932, 349732314, 899372695, 670644530, 118036884, 749881420, 760297040, 597812342, 888852281, 617446105, 834637373, 404888581, 433887930, 252575530, 962884275, 277900486, 554245737, 319506045, 258954451, 370921394, 782675613, 761624438, 978806362, 51065618, 995089471, 185815913, 937819890, 321820508, 65378678, 776461611, 154775569, 770159843, 869523911, 235135585, 749248182, 370507750, 337676952, 211749682, 324910470, 402202464, 691789883, 978287174, 377541733, 586508972, 921078682, 341660957, 80867431, 664669371, 791577960, 142420963, 40655853, 253334589, 378452395, 261206111, 849667451, 345437009, 763928719, 345129243, 628523175, 86382500, 428696581, 408207142, 49910328, 559786467, 248794057, 6676487, 201370850, 12648471, 267054088, 839719785, 362638702, 975517714, 596639507, 230421708, 362762923, 57787446, 743004975, 633616035, 298801715, 464893346, 415110350, 696591795, 298937150, 765366805, 843120015, 669037895, 13487239, 960168215, 862606920, 968644335, 329802181, 863102717, 839104638, 976203464, 598119310, 843551558, 995177134, 69168761, 649247976, 711017717, 254636619, 136728592, 607723295, 882064751, 511429583, 559246940, 684821565, 255356174, 524354061, 562206129, 823586022, 134995736, 717068194, 545773852, 267980342, 651986664, 915101771, 538431240, 902228229, 542480907, 180960353, 901305213, 808553644, 302801958, 835952470, 887023268, 807365582, 863312452, 891841, 827027403, 788340107, 199522754, 70827764, 841959434, 258994338, 591132244, 279437053, 616385878, 203635184, 128824370, 970082409, 627212132, 901849047, 119777219, 610000608, 295999813, 695061694, 861311570, 486737863, 58456488, 374900942, 319131727, 865393319, 953430586, 919040101, 584692873, 731531993, 998563224, 502694191, 848160792, 194895064, 549824870, 821187886, 676343041, 322966670, 154202671, 842338863, 296181701, 430133676, 439629268, 702652307, 216386072, 389741675, 185817946, 440387328, 894537922, 336722056, 973924095, 478261103, 992907905, 364378103, 352038298, 164151351, 161125679, 779096237, 635760530, 8088846, 960330672, 563516561, 803763353, 623728659, 463829494, 800826562, 48280692, 89564913, 157720853, 75506721, 199288195, 266824590, 22431626, 983518810, 611747341, 702683777, 95454039, 527747369, 146117868, 611998825, 298655910, 994808582, 476774076, 747444674, 402995445, 603051398, 221373106, 454514409, 555724143, 878115456, 842958132, 800243495, 112083217, 526598869, 113934522, 327129830, 421966678, 869831096, 885780597, 674522806, 269282212, 706389509, 705681255, 38702430, 404985527, 249996177, 623868707, 293286923, 438744192, 442519584, 861374360, 477487083, 349748852, 865333113, 440769555, 536533373, 187442392, 784096282, 26932394, 241589254, 55175047, 538862299, 160902027, 737579369, 85103511, 409643639, 483318631, 543183304, 620725431, 468217457, 224757657, 978536901, 791871715, 710605863, 33312080, 753469505, 906728486, 209298248, 399896029, 625752086, 286975498, 693872612, 430959972, 109166424, 800032686, 840371529, 613495193, 822426667, 165521172, 771762221, 612143940, 805452791, 73584331, 820997608, 350094672, 299617181, 781675916, 291073487, 412860254, 510915688, 704899772, 863034099, 315875887, 106086302, 301712802, 791203342, 167196613, 778633799, 174989425, 18286133, 647826669, 513168041, 590231295, 575815779, 949480769, 294281935, 809644322, 625869164, 969686783, 719992388, 633544746, 739388324, 69248318, 896692519, 442685441, 583561100, 789766844, 356052239, 140149248, 412173036, 274380692, 734888340, 375918521, 884867598, 413208837, 495902991, 165572488, 581953179, 963544308, 201208195, 638228065, 730158902, 946020246, 420116986, 97300496, 94579099, 396413086, 919275372, 275620808, 739431286, 330792837, 331811130, 683633297, 983400538, 273919185, 41527513, 639414538, 747065240, 212116645, 881968589, 107885185, 300078257, 886969463, 669995077, 448816021, 899806604, 30000900, 893603686, 486668473, 929726267, 444341559, 80741964, 128118760, 687442595, 258945335, 729366318, 182120644, 389861525, 290115649, 264665261, 386219993, 310644253, 519266580, 400353444, 30983579, 655025070, 910821985, 727158963, 904171034, 840231768, 56347682, 299367596, 974453300, 835834637, 954753125, 654116376, 689251059, 938156675, 427009525, 913353246, 154901290, 673642788, 796176844, 864864014, 893580269, 338726382, 31892362, 43263181, 941985369, 261983580, 261556368, 85995705, 729063824, 398764625, 739091344, 149542575, 182245285, 450378773, 947518607, 679578960, 566394058, 574925612, 15751191, 746112028, 277174192, 309954594, 316786900, 634284768, 21746509, 570478224, 429581392, 585301103, 784214977, 497577212, 394136466, 898482550, 307675926, 9537559, 821626235, 310476691, 806951780, 988109586, 156038206, 73195493, 884297747, 82754242, 822937850, 915908519, 588564381, 434427486, 502479448, 84314377, 760195689, 875107757, 547265520, 971203689, 226020219, 331910469, 966153157, 965730160, 387092392, 311717364, 882214270, 309760050, 150034346, 950966700, 474236987, 637672854, 674590620, 353389932, 789294112, 418842060, 462039398, 346011415, 186883243, 783371307, 321195572, 763131578, 707931162, 761293684, 857275067, 450688967, 365297895, 826722743, 867620367, 751092466, 542966857, 651936638, 520549115, 860538705, 562477681, 180730138, 701323489, 643078766, 996183122, 475096869, 810662781, 17540252, 362995215, 869884826, 404930008, 300005920, 698863623, 208365879, 103827198, 442837073, 8668328, 974687216, 132832980, 655452843, 260181735, 559457259, 787374062, 445289976, 246924038, 620039171, 662954386, 626280296, 697968998, 571940671, 571402991, 170638761, 988154874, 850655062, 653603513, 618953959, 155732817, 217036651, 630602896, 628387385, 722246879, 995233160, 754228094, 598346886, 117608204, 550053513, 131820839, 950285522, 839445244, 646084628, 700314276, 737370241, 255640417, 153189076, 994981342, 286059797, 711656309, 345438216, 35926743, 678771606, 890297202, 281235431, 240784899, 399917064, 509325438, 763077172, 779389632, 799932195, 338383869, 116872261, 689923738, 203550735, 319193010, 441439073, 738704912, 669585777, 730641692, 266021944, 189893970, 774543085, 351706363, 113651295, 734740611, 918495446, 265461548, 659659326, 391900267, 596252484, 365201030, 598274221, 370826911, 244510029, 689141182, 119410676, 10343580, 439287889, 499146090, 331794920, 666567614, 281992529, 502770083, 305091160, 201666550, 728994232, 204202710, 722555787, 22464031, 172876159, 827372965, 429315435, 371820638, 452214155, 39696828, 969206450, 705760693, 812279939, 95307565, 4111065, 617655, 851741487, 107999871, 15354719, 396442631, 735278380, 131876443, 921585112, 741527016, 484966030, 830165491, 372460408, 972897367, 465580542, 853402983, 526251621, 162979560, 88253680, 639921709, 223661240, 233702433, 834760908, 381341548, 534289448, 583711114, 617362645, 414329819, 73021259, 91277810, 149139162, 436606813, 156866303, 109296135, 643616911, 693398491, 346259067, 455421565, 677197809, 893005993, 213208475, 550686918, 676116780, 751275722, 94085680, 357096623, 327463044, 910670295, 786183306, 475353918, 881517271, 973964242, 687919547, 298898408, 224958673, 410052733, 780675438, 752229324, 938636524, 128854994, 985251938, 154589371, 317368160, 175436951, 670763097, 134708138, 92525470, 445876349, 9870277, 823279039, 832025292, 601866834, 657593542, 562114049, 667899343, 259256387, 449730514, 90049481, 232889706, 302857085, 158602748, 379555203, 177568239, 313187993, 158365268, 681219686, 390645789, 19342663, 427583740, 895051127, 725934247, 76089452, 378303528, 382297831, 949516414, 704001063, 226980081, 561009316, 434623712, 215981203, 193900780, 48503257, 867947979, 50525230, 187521487, 160687268, 158211534, 122218198, 41112553, 918600876, 850075240, 798956125, 416523471, 641669096, 570315789, 940699243, 243224063, 468155632, 926801555, 694412756, 126304776, 983508325, 96026416, 680153341, 709498101, 91442717, 992558391, 419997461, 196021007, 645369311, 826927240, 494233052, 193566425, 583102363, 225153408, 322613966, 674582672, 44611739, 640701898, 8581508, 375550018, 652309558, 773872686, 915241885, 591860033, 490857049, 115041257, 920666949, 356913049, 859505755, 16679878, 731155980, 734651919, 194382589, 722172786, 597359734, 907093853, 265924588, 324885586, 259480601, 243852158, 800676484, 648674980, 734824566, 274026659, 569733284, 303489513, 950644676, 625403037, 165031728, 472276861, 412850980, 709723947, 15367513, 538220726, 589380627, 669108141, 513956987, 523361134, 173567461, 268745890, 674414148, 803506583, 519645396, 983132447, 237961585, 218250916, 623856322, 331580081, 499916733, 788439496, 867129642, 556198816, 652043849, 64417408, 372258142, 602375596, 399859994, 248075779, 564989100, 319476826, 19329350, 626952412, 845826669, 719685576, 451805181, 891062739, 666376296, 952883424, 921822635, 469565716, 687551490, 906916656, 960004330, 188624276, 82723782, 275366813, 953368885, 814065722, 162099127, 794357798, 508063434, 551654224, 394171122, 497924298, 963612472, 47335286, 209101940, 876856523, 81206168, 647375608, 867035131, 594211198, 314479061, 532062269, 730503093, 25382420, 632167989, 908275038, 832089108, 859392397, 745438659, 783398541, 594869050, 777814513, 403902555, 749908626, 976879765, 322519990, 487264781, 451080455, 768566840, 963689504, 956909630, 379760871, 214794607, 138260268, 248705930, 865181611, 690514283, 119052845, 308179111, 534857366, 363487890, 456694794, 68423438, 709889323, 490492453, 726347823, 285193503, 726936701, 224472328, 955710675, 994204844, 575981905, 202346463, 318950289, 864103813, 899140796, 857176467, 864910678, 688999432, 668873811, 613386244, 360945398, 838928068, 937954184, 833571945, 961740823, 614495158, 838626033, 547620253, 261583236, 686236176, 195364830, 314636411, 835726227, 74522664, 611565480, 858520189, 720298177, 217538070, 46481923, 493923236, 478135761, 916479343, 607810678, 297391607, 677904747, 773654039, 558357951, 555652643, 617572874, 124694055, 882443707, 906941998, 355394326, 112964691, 100472106, 36881425, 709494465, 693717979, 561017375, 133961901, 971863953, 481571089, 324289225, 843451368, 278959473, 399226812, 285579945, 78482752, 417278379, 428924163, 775015819, 913043980, 388307991, 714962673, 460884407, 265627241, 30023227, 181732789, 937017994, 563602271, 668869547, 743843327, 602918341, 96439516, 334038585, 176299133, 787008171, 937862774, 487375385, 409903689, 29132219, 964945257, 241356155, 649303935, 358294921, 397325414, 220586918, 851883989, 557898870, 747959571, 1156663, 10480960, 271586610, 53620157, 860978931, 652996630, 794127643, 933697420, 674632487, 88067458, 403708304, 35256285, 43914945, 255850543, 234732819, 206817332, 94023423, 222849008, 67875524, 852019111, 488458783, 590622193, 19301788, 378079574, 375463915, 149529648, 787005579, 790633926, 281263642, 686351790, 934450906, 471731947, 295900320, 972080183, 292897916, 620832144, 235275649, 117411466, 622645231, 701293943, 681053313, 581386546, 226124776, 915370984, 383103454, 901736473, 535980730, 424008117, 554220558, 625554190, 841458974, 304356743, 144978538, 792142906, 759017383, 323808241, 139897770, 681340962, 267494673, 561628911, 932328241, 861512346, 184630696, 866136153, 241088282, 58676422, 334864133, 641431435, 453564203, 420333321, 107821497, 469861846, 953120914, 603508891, 783813592, 297462390, 779763938, 905266075, 616096518, 788619104, 707675929, 630130931, 670169489, 892612188, 266190309, 562573589, 684540397, 701936636, 387117407, 417406534, 326834057, 133110960, 526988889, 520532681, 740095320, 133375094, 180346519, 299335942, 243801356, 620944196, 735791181, 408196243, 153998233, 900096231, 820092296, 769411869, 896530768, 147048906, 753000275, 17746593, 768119246, 614921133, 592559349, 899387616, 440376725, 527994247, 68704492, 497622519, 61287001, 621093931, 258088115, 471988152, 774106770, 710689144, 356125804, 902896641, 718302370, 744993559, 330500311, 573449279, 234058350, 21373459, 217780589, 504008949, 697327891, 836937429, 467088609, 537891470, 270280412, 434344271, 803960467, 84444777, 347503651, 599884060, 777709014, 778884240, 181962406, 43030662, 533763747, 708954442, 93029678, 627304698, 940082859, 53459599, 583094296, 537429716, 462352188, 113027941, 521464874, 549910627, 316053539, 53902286, 838853294, 726530849, 379139509, 373985941, 648801534, 423892201, 736178419, 8451307, 776163973, 389451609, 500402603, 550454654, 973473754, 324431379, 878704036, 534455398, 901780046, 350129121, 685953906, 909412156, 713328606, 429443220, 543783702, 521191758, 979198648, 353724462, 879663608, 993799631, 484844452, 24848104, 955427905, 141942568, 590771295, 552453013, 736274028, 116067877, 88925904, 48414268, 191487445, 558316821, 183999024, 573345138, 797299896, 981515883, 493258351, 686263625, 39929343, 890564813, 875874168, 659485263, 852719729, 257534565, 211274719, 945830860, 377340725, 352421164, 184800603, 106936992, 51969625, 644343678, 222517051, 475164643, 295179641, 680088666, 539195866, 221932867, 784881018, 255498536, 264594958, 49927463, 722288873, 221146538, 785135560, 99582529, 128756142, 59352238, 291264479, 811676475, 630926012, 947380867, 214126329, 975880579, 283613796, 126042478, 372870386, 711488531, 272122269, 831466360, 685211001, 125346271, 466799008, 315452855, 364880166, 49007027, 984657751, 9164978, 804217705, 2049449, 263581761, 344230816, 623166199, 242279521, 397344468, 583577504, 936579884, 28380236, 218643714, 95064749, 19977315, 922579290, 371968273, 523121972, 67246632, 769156572, 647150692, 229397126, 530149022, 236543736, 175240155, 364330900, 939420927, 744129181, 139243439, 387086470, 891163341, 968153719, 520565693, 484789336, 723605279, 610639127, 608005870, 490360624, 573757589, 54053021, 63732927, 244172885, 715329966, 44847971, 418999532, 438198856, 657732023, 757688222, 504152852, 914632687, 186725859, 791873050, 234933455, 738160319, 478151913, 786484263, 252377528, 135932468, 478995225, 363202526, 212509401, 320391497, 534839415, 466030517, 759954544, 623134661, 542232528, 667133635, 337593371, 732873748, 788773058, 490014758, 793155137, 800604579, 285728211, 651189402, 284974861, 84334217, 41475237, 256334745, 565545805, 370262567, 756355197, 366819468, 49918500, 163111163, 478601917, 778853449, 106486145, 284149223, 662441035, 110796247, 683839526, 483178694, 551874305, 398796274, 699577285, 118742729, 367599290, 602239483, 630388583, 144621073, 992187706, 746649662, 617926710, 750120746, 153336042, 76037972, 82169988, 879708995, 988146344, 347829385, 699095545, 833610981, 695445138, 308891230, 485223142, 106200028, 803773752, 847263200, 829808875, 148939117, 925174048, 856652746, 769624111, 748778060, 622611248, 439189205, 999562693, 353776032, 986849973, 818696263, 206059914, 592999423, 267166713, 120320461, 879492521, 319451236, 977949469, 467055967, 9325256, 506195155, 113696033, 314428178, 110264589, 918713707, 218702989, 747279103, 63550672, 637886578, 412359030, 194763760, 362527211, 718662614, 455439376, 145586915, 250152678, 449743695, 244685004, 770872414, 317640769, 81013618, 737532282, 515590961, 541374555, 628868034, 421757720, 837653538, 886781920, 891521400, 250498725, 729143583, 36219749, 52471322, 774066491, 759637083, 881255802, 761308218, 566902011, 413489429, 973843296, 270912492, 244159089, 437504135, 406389056, 459326396, 439253318, 515621856, 287381241, 701790927, 924293223, 774479979, 908409961, 96875283, 385572489, 815651137, 284859709, 948122728, 772397431, 417289356, 128887741, 811764897, 65415832, 214814416, 729420550, 244351556, 914997482, 86873257, 17947347, 211607219, 55422350, 869138566, 98839823, 488760678, 629313263, 599145477, 576604485, 749302865, 44447713, 666422499, 913621468, 41286968, 263640051, 8430690, 226742403, 858080467, 413309803, 465617442, 862685254, 269636798, 885344144, 597792513, 279832370, 733396309, 780285949, 364920942, 561388916, 236123094, 57277316, 395967465, 866739189, 923506524, 676921919, 741366127, 983787889, 33316734, 300720930, 349739964, 243982600, 228498962, 371615839, 377044750, 402756128, 366266447, 794831306, 729184717, 317210475, 519724850, 995576522, 862408208, 729612085, 454968405, 77004022, 535249291, 429590455, 810539863, 89488124, 149068650, 352139401, 874487477, 370030145, 577191338, 797907638, 837272794, 386502608, 636777727, 393006584, 462939091, 476730583, 628345902, 463764081, 38829272, 776658229, 201287732, 227713219, 863415766, 325934344, 888290701, 716696955, 416599106, 202094387, 456096032, 103524342, 230451257, 998635276, 342970028, 918080754, 22831863, 221915146, 390624461, 437206479, 394398030, 243000000, 670721054, 912445961, 74864262, 476547875, 801255080, 729739227, 729221810, 624002653, 648269782, 128130116, 843043130, 63665483, 316499054, 231346872, 881481429, 79174268, 51306796, 789268367, 198806327, 636807586, 111801567, 941913818, 485453654, 769935806, 231757606, 477760008, 744305469, 23629295, 203837574, 217151623, 67965759, 8190394, 446948106, 876481005, 313672514, 934273856, 532699571, 848731664, 846624933, 517222488, 841083327, 200760308, 549628088, 460859838, 814780401, 843189296, 846812980, 859058037, 291660257, 201539829, 109029071, 494825648, 880472371, 598258397, 766585137, 873375955, 507762524, 205978125, 633289121, 734034923, 289580785, 363046386, 651070685, 318899903, 145202317, 73908216, 3142068, 846707767, 7113165, 858063193, 644999694, 808856820, 993748726, 221051976, 15598435, 420003338, 902969444, 694745684, 828167871, 810904867, 317734049, 191083092, 808201616, 986075462, 551687290, 715309706, 332578268, 301789762, 381606632, 843232612, 339239828, 984499952, 336255863, 360770146, 496901229, 911604616, 91818915, 768240702, 318069251, 432109927, 419764356, 247799605, 102817127, 791848549, 140468460, 12045087, 302047297, 193839744, 150573720, 705935135, 403407650, 564932267, 740460372, 757688892, 482784982, 913791137, 363485331, 345569238, 950359899, 93062422, 629685502, 847513776, 925100076, 718142463, 986372300, 919229573, 404923887, 471528720, 704229689, 745418910, 283346025, 626718914, 702953297, 676166469, 453608470, 730754799, 902331172, 329668504, 553498284, 90026620, 946094141, 924677701, 115634849, 243796448, 478829336, 552531469, 777486156, 602013014, 199524112, 579007450, 48587912, 8358767, 681495410, 796860332, 114434910, 648172113, 738184908, 317997965, 23349328, 42484611, 644990308, 814706888, 820503307, 718176532, 233861260, 58672922, 98283572, 295881315, 843116494, 243359375, 911674214, 316653367, 563060777, 560165272, 231632551, 967808205, 273204379, 704473631, 627151166, 652375849, 268348197, 673816725, 325816970, 180343180, 966174754, 585075566, 446336585, 547582773, 224067922, 204952166, 338737959, 591493604, 896926445, 125206887, 753547725, 296537993, 269487239, 210098904, 415865744, 566450721, 326377800, 434989884, 29970038, 177151577, 537179916, 837105710, 676897480, 765071744, 337712511, 730605054, 678657310, 162712899, 73558948, 630873262, 941409157, 904956337, 340627376, 335451498, 584489298, 252793995, 811590417, 162560194, 937965402, 463608421, 351697922, 299953999, 77028390, 699881357, 739619696, 523972260, 732276412, 74782845, 877026950, 155305330, 491180858, 471141939, 509000990, 159701444, 444053003, 60028990, 815655870, 948952958, 97932922, 302771436, 488966978, 39943696, 696874510, 239288884, 846085380, 285276767, 246297884, 965050473, 269465290, 501472407, 94469383, 965106662, 974278269, 687454157, 740899227, 760903207, 534875943, 920322773, 726930556, 905597667, 134777919, 423669592, 362289628, 718879036, 684409563, 226265314, 143266892, 121585634, 473663893, 505957348, 617015910, 545810339, 42416038, 841217058, 254594564, 699268568, 543532012, 776506428, 210495869, 879550592, 457153931, 605571461, 185263474, 478420582, 440214267, 764221488, 998464340, 999019585, 348346806, 819345373, 770270118, 328424697, 475579213, 780403117, 102381261, 882208094, 89997765, 807012804, 458750682, 64519435, 728954279, 203218941, 769231203, 500397655, 517554281, 577070807, 402720915, 714218465, 966165376, 974814347, 320917521, 862995438, 938731897, 286185221, 534561390, 603199838, 279734903, 258680720, 372393945, 701287795, 288179654, 74648268, 117163070, 952179512, 346482194, 259050326, 790389825, 578954253, 661943953, 71558136, 706157438, 695220544, 22553693, 952684967, 86500704, 215999817, 65908789, 303018315, 398722670, 397497342, 805904607, 684178989, 432307133, 272727537, 925110602, 70159148, 205435585, 21906141, 871478165, 530943217, 600367208, 883731665, 278231993, 434103141, 845572613, 331282809, 890758999, 483086733, 414585638, 556984683, 438581130, 398892726, 705728767, 277712531, 595503689, 32482125, 82003183, 279535338, 405146322, 905003159, 487248654, 296781320, 226065754, 22795241, 31944465, 228149790, 894909981, 124005246, 514598000, 216688263, 207450543, 723845751, 790105238, 271695677, 72903010, 591802009, 166198351, 966747001, 921850414, 847697476, 639173146, 672985428, 654360672, 38930364, 615929832, 983633030, 8835968, 770034920, 334184725, 163424463, 373994706, 761900776, 306316197, 433002814, 242273226, 311241275, 778784712, 987947715, 638426621, 626496423, 395284020, 533118818, 423574416, 733483485, 730727351, 591641676, 702168136, 530162517, 226803345, 849265858, 348815240, 973507787, 717119120, 931609226, 748068158, 443584370, 504224731, 283973261, 29294275, 955948979, 11258704, 564938254, 339774751, 744071891, 907835982, 92397457, 524038045, 382560811, 172080338, 129515527, 928886176, 327726128, 517668380, 41343112, 945869231, 458576682, 193244051, 475253942, 320259643, 136311721, 776099463, 456006334, 245804384, 675576800, 359978700, 357493669, 913521369, 901534771, 593630558, 744408305, 170260732, 144936252, 506827243, 427410807, 986218071, 172000910, 709127117, 619688646, 889963575, 18840956, 543711174, 808206974, 857169470, 50886794, 87275099, 650881351, 460537741, 879646050, 810488007, 671665385, 707286958, 64200578, 655026126, 553719640, 91233365, 323320711, 856932891, 746826921, 19157953, 95135123, 104014495, 702146261, 472994556, 578185033, 898070864, 699657337, 850016666, 724087635, 72376413, 421168232, 631426931, 296714136, 297479180, 957599232, 497847475, 355432644, 877041442, 805016511, 673194497, 31097010, 237191936, 958691346, 184806223, 707349700, 24622857, 891101226, 850485744, 563985859, 185372338, 348282877, 382013156, 529347546, 768969458, 903769492, 596434605, 609058558, 709613104, 757032974, 875248778, 536290552, 571805823, 774476841, 333359946, 189873424, 533195333, 531257363, 33553140, 96354606, 997826886, 443542786, 580129941, 501283751, 849492301, 29179980, 360739097, 184705719, 550518477, 174498708, 370793071, 435537138, 183035156, 546190171, 727800269, 323669353, 81971452, 715927126, 635042852, 379228559, 162319545, 913154790, 736839744, 690367065, 284561553, 408592547, 386431306, 502076370, 776332442, 935900269, 432106808, 717775049, 716946335, 664418038, 711420724, 195840896, 11585560, 404386916, 513054013, 868824830, 920076748, 175238985, 833208655, 531183662, 698433053, 937329688, 433580610, 895604239, 261140546, 516815089, 569654986, 512663801, 581619329, 431389095, 872988301, 971435274, 862526288, 226627610, 319272207, 205210774, 622117200, 923217463, 150625902, 647398667, 472282282, 419121646, 294631655, 576092446, 586418990, 242408655, 258670650, 831065741, 232982921, 463827966, 536404483, 957114841, 943615484, 345288404, 261464510, 530384155, 101601990, 836944071, 79641783, 704575063, 821510669, 915433760, 864410950, 927505142, 206104110, 222516796, 687944239, 931241837, 9243085, 281234265, 600381204, 16895487, 693140415, 642052399, 64501088, 972541029, 518111532, 266036664, 846392743, 993923893, 716347145, 141146981, 946226726, 477001904, 793987103, 140071203, 33204314, 585478901, 363591863, 998890976, 497501213, 557255484, 970405444, 28227915, 655328291, 885990146, 170531223, 605501230, 334129286, 295496697, 181637058, 939276393, 543684612, 360874346, 647045756, 433906655, 759840919, 380079816, 324936924, 867252024, 699384748, 984998296, 28204191, 29373904, 153769521, 957897651, 274895551, 76556346, 51069235, 968402492, 450484417, 962816948, 935018419, 770040062, 590216630, 560679166, 734426274, 346188120, 612894029, 666496828, 824212602, 387313157, 134981767, 572658141, 770379071, 430267150, 650520413, 349007077, 523284190, 35880412, 500495379, 524147664, 48745947, 15233558, 19489814, 668036224, 216990515, 636656515, 227150935, 833821348, 873782787, 454448846, 155161264, 139859645, 612862153, 873871450, 752479549, 542665885, 594496792, 643937142, 986144816, 957816041, 883772613, 477225144, 558224944, 510631804, 557594918, 943588438, 763159942, 634978373, 883757948, 638236268, 940482311, 616150143, 244927255, 456974788, 714735556, 892428236, 732314555, 886301374, 453015702, 988653086, 914816734, 10519312, 795554260, 146071247, 364327336, 698018543, 938121404, 872106307, 183891481, 160239925, 380273607, 970726066, 671797814, 792214836, 79527292, 158057141, 378849799, 830938767, 453424408, 946481827, 208641561, 29817330, 404701453, 20240999, 240941391, 205506889, 820011060, 13572413, 476682267, 232325224, 245500566, 984881183, 629285054, 76919553, 976633877, 803773721, 699622345, 930462214, 222126497, 473871246, 538145309, 461799840, 708874837, 924860910, 387352601, 755795283, 921577676, 685085156, 890896196, 790499022, 477799837, 52142507, 914931803, 263145336, 827355181, 440261269, 239159666, 589009658, 975581463, 575399382, 423694655, 300925534, 693845629, 505751867, 588254858, 706460411, 956683067, 962324950, 19204232, 170036417, 214514882, 541201696, 498136510, 374826368, 608268625, 885967937, 720542104, 104227274, 827998256, 84554812, 72458141, 791249573, 425097027, 807003161, 982002914, 994732675, 468127261, 671358602, 782369960, 317799042, 145384939, 242133778, 778355345, 477138187, 656981445, 942544258, 981265209, 320189147, 67853561, 951889867, 228964884, 814019672, 705739715, 585127128, 225467595, 769830596, 608704377, 907681319, 315170825, 849866770, 493344217, 958059185, 45919048, 381264700, 55646738, 870686738, 282420712, 495126066, 372819491, 547544083, 138644298, 264562177, 813878855, 406658793, 810944312, 97367274, 483631052, 296983907, 800789954, 191192528, 796689767, 39147558, 97681407, 118982634, 715402925, 669600832, 156384380, 287790075, 773714053, 216878800, 229688724, 91730127, 149996630, 691284980, 400108935, 367324551, 96640800, 504237405, 217678714, 74055471, 66491526, 707653825, 542853192, 428127996, 216704955, 543728001, 354600118, 188393247, 64068703, 899323411, 429272645, 886283685, 728239886, 823235610, 290963866, 771048478, 84556843, 364594694, 404242004, 667466130, 573765757, 12372859, 446331684, 529432113, 265792451, 500603186, 875066766, 176489562, 513698152, 95174117, 802303091, 63690658, 684579233, 184036102, 244479655, 769051503, 351910673, 167611055, 595634616, 108646009, 410616622, 731904193, 543672294, 793146628, 971218977, 435061682, 330468673, 567101916, 339681007, 417309905, 106522137, 662457098, 380584950, 841259532, 417296723, 414640133, 86146840, 691431511, 24958705, 151409647, 544984737, 745016960, 297916835, 884833141, 632257310, 837155737, 285790629, 719791707, 172960546, 318403324, 627769689, 715669799, 958640570, 610713626, 826450499, 809778506, 965677433, 598622562, 343244646, 844195297, 18036010, 668029946, 836398434, 145925486, 854004060, 70763827, 34861353, 143402246, 144524644, 989783120, 769336667, 851201145, 372687590, 78477705, 526419789, 969126988, 357895011, 59387627, 388917625, 864175196, 651520698, 876988379, 968384986, 261834486, 874835013, 74602801, 379609499, 543906942, 61554716, 186356578, 629970048, 846910324, 329468652, 50503345, 326231778, 543850408, 124553398, 38851850, 803625465, 215582731, 624638484, 696489744, 828639507, 84616754, 302638473, 422705117, 916694750, 305055940, 218648246, 992283505, 552722442, 33930849, 70107543, 240240361, 412295933, 336015128, 618647554, 837385498, 861134480, 969488578, 406710011, 268577735, 846138148, 949450669, 859825702, 33858967, 931848339, 900810978, 477557084, 265467053, 82661930, 962523347, 143421667, 950951991, 192221293, 971110430, 859367614, 435098013, 519617528, 476027942, 112468806, 424056327, 42097006, 786810272, 792876291, 826034255, 291637928, 38295626, 926469602, 135976947, 45565748, 861469891, 828314052, 393669869, 170864220, 112908162, 256658066, 63758852, 797088366, 166129785, 776785360, 211080611, 441271392, 259311545, 135637411, 528759008, 402891449, 879143227, 606879316, 661886261, 190417934, 741968692, 151131335, 656281264, 944011088, 301258972, 162526355, 224577933, 233121901, 513644260, 186916431, 826138007, 799999207, 758904719, 974840222, 356750522, 741213101, 28197275, 295032380, 704341215, 47263181, 609800198, 698950786, 317795865, 550177711, 351931304, 94470693, 895827688, 209057933, 835870878, 769973034, 968895808, 966798841, 422840629, 406988244, 979618393, 180104053, 91242857, 779830079, 951849963, 397869634, 845328085, 79297522, 532545797, 246709541, 363080326, 67254292, 77083263, 487909674, 919920000, 207277677, 124092212, 372687464, 913149281, 620545734, 738527769, 195124821, 445517334, 56466180, 476391591, 515823874, 782140203, 632954178, 675954149, 24850130, 240602312, 250631988, 654881467, 877791219, 851193367, 477820710, 660753598, 158719491, 750489604, 680454504, 195149741, 543409457, 825095896, 446263310, 96229602, 245104600, 724872414, 314060623, 897589964, 881596546, 250350783, 396926474, 705314383, 330558523, 980062111, 796149493, 674811586, 791891020, 121387826, 692350987, 462307449, 943848788, 737692950, 123161210, 551508752, 656398699, 901705389, 443181639, 754693639, 604277805, 306125925, 756960630, 813606399, 230666577, 100981563, 351083580, 129208490, 501072656, 74316675, 85472309, 318432614, 189032535, 656028550, 184111103, 254939971, 889999737, 855183396, 93388353, 113155590, 297056668, 732128387, 444800251, 215299851, 505709642, 737512155, 543542831, 236225077, 436272057, 32929106, 371616796, 938394400, 950717276, 623385347, 357129800, 906249759, 616113587, 227465443, 383349018, 898784165, 701377559, 340684249, 106114586, 730912767, 827326728, 871998015, 843269938, 841751999, 463662346, 843803120, 888385884, 438315550, 516443924, 376845132, 154291675, 543792931, 327504933, 479954589, 600075003, 21651795, 159596432, 333872405, 596598213, 812608731, 444225341, 801041848, 343629743, 13896159, 876266495, 70004632, 12571559, 229135159, 643856259, 346634405, 391802517, 942118661, 276158429, 520247069, 358694284, 457303457, 425018064, 556832282, 833308084, 775575864, 514707862, 466315055, 209007311, 330598670, 354367393, 809394048, 736275145, 219521949, 990584169, 99278815, 774556327, 134408240, 230284410, 390862998, 751124590, 899405624, 272934271, 574844632, 678640376, 362199681, 921892032, 750244632, 583756931, 571497070, 443326612, 389084281, 527775626, 43912368, 306501497, 591009230, 569758158, 980328582, 126692175, 43071447, 87013294, 602335496, 346576933, 74807718, 627414249, 9978230, 287416714, 948445893, 242171497, 721724914, 911932075, 284112217, 850601881, 313735895, 358112566, 194971182, 117153032, 605233136, 937046399, 749530021, 878891557, 551703667, 617422420, 980979054, 452827952, 391411758, 899921381, 504975528, 799522321, 884156255, 60618558, 816653900, 368569935, 350184073, 889851978, 790920355, 205692030, 712789485, 590358025, 108793766, 61060083, 174825221, 764475126, 468864015, 157674953, 999681726, 697921083, 834878552, 970171640, 204277399, 92311844, 968513919, 909752366, 676618781, 477056366, 590899132, 46491492, 482236456, 163873115, 713624163, 697250127, 336036136, 161659227, 625538375, 161861964, 539792550, 308481311, 771785108, 181461731, 761112947, 636869415, 462699868, 204277542, 356281836, 12285448, 147677896, 441078147, 187060773, 113907391, 267117339, 337126916, 224005462, 666604566, 306036264, 887672464, 627236084, 850252019, 156045892, 925442707, 508670816, 696350876, 557394507, 331063236, 640002895, 35407870, 234641076, 151790369, 607943472, 292655944, 289601652, 72730343, 418167231, 924729281, 287209651, 380899109, 671595932, 553701793, 141302697, 314902010, 831951339, 832439276, 339974816, 275660018, 614385315, 544359201, 448107167, 486880255, 859366778, 5465148, 370813241, 87633658, 409000395, 690884025, 136116370, 546268230, 96022786, 795950870, 778050868, 54889553, 913805309, 992338269, 267730003, 251714190, 372078835, 760298368, 909611236, 953522692, 813802805, 973118189, 615951557, 485192314, 239609232, 578058948, 982557728, 434841529, 870854141, 269926672, 211103787, 559590877, 132632102, 733784718, 22405694, 63787653, 535200627, 202750729, 651955880, 417649088, 233855484, 867104841, 358253286, 436799116, 800008590, 110155457, 240458095, 334625669, 679318025, 709930986, 619346389, 669840902, 973904384, 779738945, 759561330, 424780055, 967467612, 560268945, 949477666, 338572125, 859656993, 685343587, 937227731, 705140853, 48344109, 18951735, 556771290, 260027411, 722026190, 933987230, 799512919, 120297053, 812503725, 38224828, 89816636, 513285347, 53423485, 170977100, 872130779, 785727821, 744249599, 806779766, 7668171, 270649102, 21750586, 504846251, 358627443, 411029566, 349082514, 241652977, 450269385, 461591700, 931882124, 23265187, 692078122, 802953520, 290184719, 508902087, 658880174, 148803298, 947245377, 203297454, 160961216, 208404700, 201246478, 641906347, 29764624, 671179072, 269891554, 684419768, 483838031, 22539352, 668620852, 86558175, 347902793, 891482597, 246995302, 611116868, 904824780, 107083874, 582098679, 733503064, 580846735, 891352095, 430468568, 768002790, 324650218, 607307530, 393421892, 784929440, 223550593, 503070351, 558872695, 955994170, 954905525, 613151598, 192688303, 510635010, 923542833, 512252745, 997890823, 522204813, 997399672, 816585452, 794941905, 603995751, 927938364, 444395994, 884967614, 602822812, 29059190, 762821261, 988786263, 9099927, 715979502, 34374309, 481536701, 940979333, 747258875, 5673684, 646752137, 962112032, 10136576, 576983697, 376369791, 430300296, 349945589, 473702758, 240642140, 647939317, 527903497, 742740935, 348430629, 297540506, 743219192, 36294792, 879362823, 395366220, 119809385, 909921622, 187472659, 118805683, 266118030, 702795323, 131712592, 841972304, 152492742, 935494351, 808917460, 412002585, 59210531, 87775266, 906877557, 916289822, 122119195, 405081817, 16574665, 207672203, 637238136, 478801407, 820982703, 448900929, 605882035, 464649343, 97647335, 317829887, 647171225, 710270612, 632781032, 110461794, 613525651, 74449948, 403440931, 387585029, 561604231, 622050143, 840804994, 96296864, 246391522, 699538215, 627150052, 779901295, 209279994, 440130458, 312788613, 510369858, 297086189, 390739295, 884708305, 229858971, 578272510, 915835891, 484256672, 955298663, 333008241, 411630624, 508077021, 663885661, 469600236, 376980240, 200673522, 574419448, 292668495, 358192098, 944146252, 891325880, 695543809, 211331729, 163504525, 587295260, 97648747, 276421622, 941863258, 151673871, 578382767, 246576195, 598063131, 746880727, 843117422, 486710546, 185463097, 286520803, 140748354, 296090531, 581473274, 32032301, 963900725, 666739002, 162152382, 115292942, 47792170, 175716485, 578283676, 766277538, 480872606, 278113172, 819305991, 842885678, 346160156, 661157710, 444157048, 29181397, 516238414, 142926449, 715409874, 806094053, 143612014, 694417955, 788174086, 880736416, 143857191, 415549819, 92387957, 120416653, 43174815, 449401706, 127811276, 408075702, 977533795, 580986024, 696636278, 323670792, 566352355, 311507901, 240754479, 513012377, 184827528, 398532777, 894617761, 90082434, 699137063, 130822160, 366426365, 119811345, 529859520, 226894169, 889460584, 166873267, 16333668, 22612992, 95322665, 633358374, 302690951, 715934458, 123651182, 466082148, 657903002, 595802193, 5799723, 395789706, 883902071, 642114024, 428308441, 979701351, 777720115, 876709179, 332538889, 232925409, 544161267, 335583320, 598889867, 896556408, 753727113, 586628175, 988287113, 721151323, 902306399, 460346444, 146973138, 160605781, 257603123, 39790478, 765899337, 169386609, 982556892, 209540248, 578699075, 745551659, 378793816, 108142294, 1799315, 805647775, 833917799, 312720743, 685791641, 452681219, 914293464, 15240643, 523776806, 726085577, 987473956, 971254459, 283831715, 638431362, 225634583, 777112030, 586443550, 316908482, 35971162, 249314171, 742617540, 493427233, 996142536, 41528691, 12171165, 382006435, 813615288, 942850098, 735863001, 717711678, 219776004, 335776818, 535388077, 274196478, 706710747, 380813783, 400863923, 251875489, 96961365, 144273571, 755103290, 621983174, 535303188, 386033466, 600650184, 73296030, 962882627, 404324016, 241293051, 147525610, 255437320, 765439751, 54051675, 282136741, 561381177, 952700846, 426402967, 179311373, 774263254, 361984363, 547994636, 138393261, 331543729, 332770812, 707555296, 987220383, 345930078, 359021247, 311971885, 905755812, 489866397, 428933345, 170994206, 386391723, 145103068, 85662060, 667516336, 197283554, 470113870, 797482288, 330714922, 303272531, 131805153, 582690722, 292265383, 103200303, 567875857, 905241537, 636193136, 609807477, 114093752, 172287790, 933713386, 172175836, 557087258, 709231264, 946313347, 170056426, 713803018, 10641456, 719064472, 653919069, 104000967, 158802678, 986867814, 502986035, 8056914, 994499126, 785354446, 252442040, 969753736, 486338665, 21362896, 321999925, 618323000, 223022683, 389125175, 643570581, 679765310, 873250597, 20472660, 271068353, 417111976, 635861730, 960302840, 320422954, 955543385, 613237997, 314479779, 702301691, 789819905, 563242998, 727709933, 104970003, 352210988, 389340740, 689229277, 505317493, 914590859, 97261561, 156429978, 329256582, 986320092, 955343167, 608418357, 211358446, 390046792, 995166773, 727507, 772905268, 317553089, 131393370, 924021144, 543361104, 692701319, 889461118, 60087007, 794936747, 245274985, 117554833, 974712488, 306110196, 250651028, 462659695, 691227912, 700557242, 543191576, 808307571, 298502357, 877877241, 598887971, 475345532, 428858717, 623613046, 853142602, 5940176, 823049685, 406930559, 39729568, 817569660, 696402804, 491990040, 124353060, 130967204, 938743547, 69706916, 35663534, 570483983, 248998169, 143209424, 793674611, 48378595, 416039885, 514212401, 140645815, 38310434, 718830216, 566671271, 671308358, 40742041, 878579039, 221255041, 896595133, 658870554, 751443022, 648238062, 700122099, 362811096, 841846185, 769707091, 889526992, 735930794, 273344514, 486397214, 108150417, 213170575, 803989989, 975422103, 461003364, 673731947, 982852612, 989183174, 945744090, 931291636, 54927288, 446520509, 208576632, 667880767, 234614270, 825609432, 819343549, 433181697, 304018187, 812894315, 16419547, 821836858, 210746602, 62786045, 77460897, 467742801, 40918231, 837459602, 908678895, 896171482, 614977721, 329667359, 840929756, 599411284, 63521810, 261988607, 740109007, 283732559, 561984544, 773027594, 815563296, 501926230, 797644293, 705873791, 165169491, 66353534, 809018851, 673131136, 391860501, 359634532, 421925888, 749135510, 566972576, 210135147, 65050849, 772896666, 825212811, 601483129, 452806235, 105738409, 295455317, 677189026, 380662220, 769112673, 34444817, 190653494, 820714897, 425807465, 756009917, 224548719, 442160213, 455281408, 667987684, 394740208, 575666021, 799631588, 203320519, 193622798, 853746866, 667901992, 596872864, 621067049, 629124989, 893419701, 821047595, 990571468, 306225910, 716741857, 222173136, 755581271, 128678196, 586552101, 234314461, 796204519, 790789301, 500189527, 819200240, 236524150, 416980345, 552695720, 867632708, 57153096, 818045233, 450722181, 306573263, 444415550, 395552971, 601982849, 800849517, 520857953, 457813291, 248176424, 354445568, 529515278, 123791706, 984965617, 385588410, 283811546, 719693960, 988997421, 859294728, 9141725, 803468339, 279879917, 543445385, 587640023, 302571940, 366879167, 501608887, 468240942, 996247885, 58932320, 18275384, 231121155, 708630370, 578367479, 927676837, 747379621, 646297107, 690093097, 989451226, 404928327, 714181980, 279694755, 820097880, 433444076, 139771498, 582678772, 538714249, 775123331, 831829355, 507222582, 107163489, 994438286, 898672757, 919744423, 637808815, 704595917, 702224731, 455455906, 698796936, 285339550, 872182579, 562716676, 201234731, 862375074, 541435378, 238366036, 746236984, 784249985, 133420147, 239976697, 624929763, 798106185, 199524593, 138882332, 750652375, 928821489, 289671838, 406888460, 626180032, 456528523, 616472734, 817440624, 44941298, 536509370, 68007678, 440206578, 145109004, 947340191, 860939768, 549028357, 631910835, 193738558, 172320586, 20242775, 985414839, 186330740, 670301703, 49515218, 271590540, 887515888, 511508667, 999924627, 928691585, 198025574, 278455234, 575496364, 839949669, 847315041, 291280566, 563862026, 163310631, 157347865, 330392463, 453667138, 790734550, 24860928, 262861120, 696814680, 305792398, 178803813, 131057582, 579216520, 320678795, 90093940, 815997813, 67829503, 863933969, 751119236, 87506135, 792477305, 103356236, 454766194, 872003249, 936036183, 47715692, 421770460, 290278314, 798802021, 699280073, 325064405, 787414279, 943909903, 900421774, 479452237, 221903334, 280934808, 2736175, 342472468, 687536791, 529260484, 174376041, 741418220, 263755756, 626301334, 317760797, 260758519, 713423500, 415308849, 561195454, 217963749, 499109725, 955662922, 429191987, 71531800, 501799089, 188865312, 718305927, 416529161, 728632616, 462779994, 580205595, 889915334, 361097692, 391732092, 462879482, 11364672, 575670546, 99617937, 935126145, 419265807, 841678250, 742645081, 72143468, 243304447, 878295163, 377553258, 89568242, 239166601, 983951484, 231851425, 444598786, 583752810, 175799177, 645828225, 658034160, 114492453, 323378716, 395362181, 685635342, 62242603, 445512116, 179031261, 47354534, 258468962, 75834826, 464096676, 60569516, 1148157, 410765643, 259353187, 529430046, 451655396, 808653204, 917216242, 683007357, 83778593, 10510338, 749528061, 347168377, 956892923, 694940513, 383375539, 928286032, 114063832, 865061420, 203654685, 557863440, 798918046, 765009768, 787347140, 545208566, 680970669, 25503588, 356426285, 927261766, 732017521, 892266263, 488194652, 566953646, 839051699, 670576110, 213878972, 980796052, 280444148, 315564087, 195528852, 102148936, 839991225, 151916071, 954368873, 120979623, 665793011, 64461344, 495475814, 963340978, 380042803, 764784660, 436133482, 831515997, 796739668, 204735844, 173566806, 439421739, 782421097, 551660635, 402612653, 68476461, 885811354, 721572294, 197535973, 184562215, 192924504, 769761267, 958412091, 419701188, 361859137, 876181907, 552603913, 286715402, 318579774, 357111442, 940767138, 617494323, 708712391, 129628486, 212770791, 811488605, 174877559, 399316331, 564281582, 909138907, 508364778, 891567784, 30000961, 497316489, 856141933, 537564185, 43314122, 283648923, 444005104, 894947996, 276975825, 193211468, 580842508, 852394302, 768080764, 210037348, 549881157, 55948298, 217070899, 166819403, 290380122, 908578792, 294146588, 108257057, 138657736, 570163454, 833899572, 592698651, 490708240, 744928205, 464827271, 218198747, 383797216, 673700066, 102349891, 510260196, 850688535, 529607188, 689292466, 636410462, 484969774, 883262169, 208321824, 250463828, 31754939, 942951640, 610437894, 732582410, 772822246, 123112012, 664706812, 82702259, 146700234, 328387320, 355522575, 865808334, 344293037, 381048705, 492268882, 193422256, 140058299, 908733860, 960953598, 726363950, 394154879, 985720116, 443530815, 260505478, 382900745, 703630264, 983890944, 378831388, 847165580, 808103374, 924421768, 304302718, 425533912, 935592011, 402664723, 967453713, 335913276, 727657788, 447573773, 827399158, 227658645, 857199118, 433737299, 426205454, 14961062, 330727284, 632180593, 389169865, 301534664, 144669735, 195818667, 589641655, 605429417, 849624055, 962063010, 705612189, 369680507, 491760566, 130151390, 371799820, 7649828, 926066955, 298864892, 459686713, 75951519, 141838199, 2022073, 360672400, 995271440, 681950314, 213838349, 343135082, 421279119, 151527135, 914982551, 704371665, 981141003, 836481399, 383219543, 964806747, 834862181, 636100822, 373832751, 929524975, 707820065, 826891122, 998710104, 600751741, 43702923, 611758807, 540734737, 32752670, 944724561, 720739690, 879135789, 295470074, 589144283, 719229156, 30548842, 498604947, 563135053, 604009750, 898737668, 966546640, 639590869, 672183606, 280548435, 13116591, 187443183, 807474103, 169415203, 193152060, 959693494, 158277431, 828566722, 41702011, 574313919, 219111828, 112227251, 892461874, 483473527, 264471151, 183102642, 618965012, 533985337, 143569397, 955502465, 53292424, 653969017, 153790661, 877190932, 345791657, 902137131, 135679105, 738745208, 236266754, 604272926, 972420370, 160523008, 262031829, 953343331, 197973309, 65234771, 211834110, 820242087, 654435690, 117876544, 506401914, 750150116, 338898516, 621950475, 16181949, 798702387, 106709232, 13826661, 876658973, 104000590, 202808154, 690299095, 595729816, 643301397, 323877730, 297777216, 13989614, 922377895, 350753160, 694509508, 277991035, 720459748, 683041462, 413539143, 360359316, 813834407, 779101948, 401160568, 685066243, 376869643, 357491228, 158851430, 644682358, 100373933, 859603509, 500747334, 888082707, 282754342, 457757341, 532652380, 2948609, 16254612, 342719626, 420249853, 211636898, 330220770, 36017210, 2339268, 728825485, 112276790, 408147851, 211773355, 426309864, 66082527, 921836670, 931349837, 775731733, 43722937, 657197034, 293178567, 677072967, 552429256, 640143864, 808474358, 685854045, 423951761, 714533840, 213164972, 592565922, 642101617, 350689379, 34913472, 239291636, 473733831, 927055318, 117297053, 144804740, 587701686, 356162278, 649139353, 701320825, 811986856, 824902778, 426697658, 443853039, 659536867, 613765802, 136110943, 206939411, 854362971, 838228240, 584048129, 419497266, 159166509, 987001882, 142020333, 998980575, 939656032, 56190079, 837614335, 90471104, 853695092, 124686073, 810635338, 777250927, 613764389, 418207056, 827824649, 577049578, 54607483, 459155841, 317477662, 559419056, 773195697, 97938056, 581863346, 46297487, 113584296, 898438388, 618322733, 203423728, 559022547, 938766389, 119809374, 276902935, 319493308, 156551190, 901631681, 312317724, 130907035, 108056408, 736234348, 585324415, 197181451, 478687086, 606661636, 380050833, 6459561, 394848214, 12464262, 621070195, 793327019, 252027645, 231793375, 354018755, 5219119, 219707631, 262859774, 282768978, 462561195, 365499126, 773863438, 583983783, 98151134, 28633751, 272515221, 614070035, 586763884, 723738649, 283243923, 920976043, 316664167, 887831195, 440843759, 243689065, 63472663, 741815318, 992463042, 775464448, 947777879, 527274021, 946072478, 100457046, 169509822, 13467830, 584068663, 392235932, 239454510, 403679684, 435641965, 461584752, 909469567, 775582869, 196885681, 629866707, 388550171, 172670362, 318140544, 380268617, 782499826, 696466947, 816213879, 902896323, 20079659, 29342698, 613436978, 20693325, 250735405, 310745242, 3353893, 694337601, 717407246, 880944813, 599799369, 669383452, 304066699, 604577967, 326740607, 404944348, 697721834, 440808658, 581584746, 397365361, 47579241, 309414350, 833812143, 302636640, 172390188, 872112511, 575914710, 831162131, 698051312, 22949753, 785587486, 31643859, 616660562, 582810953, 71821263, 581620677, 270273767, 852455731, 49273196, 724038376, 546665635, 847356882, 854426633, 624709050, 227519058, 606704103, 403561023, 636719235, 397884546, 130117130, 754396729, 899834678, 298242858, 362705477, 51144826, 735112731, 477609910, 907479131, 22467798, 250814610, 836553146, 105528222, 129350994, 245670049, 938445283, 896188584, 684758741, 170672606, 590654267, 852909970, 346782112, 697669411, 695451293, 212187734, 687975078, 277418562, 460452066, 478244391, 883377172, 735570549, 609327750, 721911133, 991518215, 390836158, 96713729, 207163383, 356941033, 901919528, 994154952, 340860253, 780269912, 604155342, 997899915, 806661683, 247368833, 246795439, 784924589, 879727963, 565763387, 448005580, 608691458, 658653970, 297312642, 561583232, 505625346, 484440771, 719883044, 29634863, 707412625, 281275386, 888872051, 624549590, 351800435, 183259790, 688889972, 466942713, 384460091, 452390939, 227110060, 689623803, 473900608, 250131661, 521918815, 616319148, 249419342, 356534311, 564640176, 676779585, 704963942, 418231242, 549553595, 299006552, 923863198, 193852416, 686250583, 221535266, 268430507, 357301115, 665362416, 146473269, 759852153, 172162872, 736018386, 838449085, 66004204, 891192167, 786307698, 769648622, 999588054, 412821103, 968362234, 98515912, 191726332, 223329202, 389410572, 192966055, 205597169, 527358375, 8262336, 669884635, 143098815, 832234999, 1483786, 777225002, 74277934, 1558641, 790373364, 271940266, 781824791, 460438690, 504001533, 910759765, 910660415, 661940815, 747366719, 892351003, 150901558, 149270089, 490770176, 122933572, 372867313, 628761306, 207037212, 3822517, 893890365, 334482285, 443779427, 683644816, 548362365, 222587541, 848754849, 227912924, 916709666, 407619599, 99515491, 990190472, 646046786, 640471507, 273327980, 313578681, 117056870, 582819445, 904218356, 225798770, 788351660, 622056127, 639558709, 13539901, 844858969, 357533386, 292020044, 493980712, 788755128, 197794208, 527738252, 380522422, 224969111, 302977041, 977977822, 332180242, 934432170, 167827132, 500492891, 249366552, 96410552, 746587089, 922414610, 911235137, 448278667, 784348332, 57416331, 593225491, 856399779, 842528640, 156186871, 620749373, 78785451, 774461370, 835217147, 421929220, 853129529, 319045001, 874370765, 344391903, 754294934, 201782612, 711098510, 392989540, 788634882, 707891680, 269800052, 326586889, 882435831, 242132414, 782071493, 157141033, 85776491, 417833560, 622130429, 66317624, 750682056, 854176874, 746567924, 696792547, 622793065, 227247326, 459887907, 936852761, 527729311, 368401290, 449300595, 203917648, 888173730, 555666812, 905370142, 587405853, 380815101, 53750786, 354060332, 487885518, 502120738, 107318466, 966452551, 899120774, 301147836, 158627599, 746668193, 449161010, 479922398, 26275448, 883714027, 188311446, 718268148, 693427355, 632497217, 380360804, 209656722, 610878926, 869291919, 136667829, 944516826, 548406991, 866707717, 687291201, 453965074, 730477913, 45752540, 70875801, 123969685, 529674065, 585797004, 567750099, 680991802, 846544733, 596044458, 825970617, 267836369, 393413684, 593324893, 468606398, 91117135, 972097509, 142542523, 103045253, 547657907, 790643050, 545913651, 30133631, 232411941, 513916303, 45300323, 519493285, 32579373, 237394487, 655995674, 331505993, 77683927, 542430814, 688616639, 936806911, 866477245, 251284127, 907902991, 689741382, 839654389, 537678996, 972862283, 796085401, 809960278, 417979261, 529429803, 383877936, 450792801, 282781426, 436432544, 303352449, 623330065, 299438017, 609738655, 808528303, 623407049, 577826572, 11327463, 458159990, 414771553, 525483863, 617747750, 201491013, 169519321, 248537923, 947381861, 652402786, 67911911, 351620329, 667810578, 10473782, 197214014, 106177589, 117048964, 586628712, 121257459, 182426924, 249930667, 21002122, 364082117, 108199469, 544209976, 174292284, 773121479, 42352401, 697424933, 279410098, 166232318, 656552762, 142353021, 189898692, 949611774, 306848993, 664630216, 168506352, 897855258, 833590386, 87559798, 521149754, 852612556, 909296165, 657375660, 495186784, 254689948, 644209034, 763387436, 355181267, 19320616, 979422779, 300292233, 344068642, 980375218, 105525376, 88253358, 939778701, 838942120, 610612867, 994816045, 105514711, 394207258, 326991288, 335869922, 85998738, 595242027, 303023149, 634528197, 89394285, 779515048, 208949946, 267055870, 938697586, 854614051, 185245003, 699594787, 598775692, 658825337, 679386898, 351877405, 731354577, 146834343, 99128962, 747507300, 318548288, 70151273, 913204432, 47405517, 505080720, 850017889, 681182903, 218124883, 42198316, 725729666, 221391719, 909433719, 514442062, 705164428, 424204630, 719454258, 216298730, 927457804, 376009698, 364690013, 794126718, 803333581, 212028580, 831608656, 553407929, 925766485, 100257577, 472292202, 245251761, 131666035, 603218638, 148273479, 12971044, 92621709, 354362202, 32081930, 62704975, 347653043, 317177199, 513447489, 886430424, 77043977, 119526735, 770366026, 346296225, 290572064, 938141588, 345477243, 45847431, 523057056, 17476776, 791543877, 344922729, 634486369, 304090301, 531291351, 988985927, 782371749, 575011352, 538911930, 799699871, 585997607, 206240830, 533809113, 360676008, 206118078, 560300272, 79479823, 611675573, 270958999, 523627039, 194816654, 916732536, 680149003, 473984670, 400921278, 939229953, 895007407, 935686466, 187452479, 850869117, 335870360, 291764299, 117118395, 478835661, 200575876, 200861258, 286759594, 610723415, 283682825, 410195261, 511572762, 693844702, 274037870, 215279426, 622633969, 939746069, 993145192, 895586520, 525124491, 985982765, 469141388, 389532774, 236671135, 818686599, 85547650, 25068300, 685334392, 133989866, 802813270, 144153439, 877668158, 693764835, 315430606, 482374564, 751180018, 533972397, 636480274, 859495173, 851384603, 671688909, 257677172, 748744846, 589301644, 573849378, 262631040, 593637835, 944376894, 368842327, 682616025, 393233711, 111713127, 254886180, 499556320, 827927588, 731808489, 242897958, 744384361, 113335117, 917552939, 471044691, 522236704, 599627797, 150692741, 456155692, 412722797, 549442671, 347107335, 390292152, 412919466, 438367551, 151425188, 92414080, 181599403, 656433497, 237913972, 56665766, 916704590, 878773471, 906306801, 721847904, 683297165, 528143122, 56348014, 370806584, 395779454, 238276771, 225917520, 443698934, 322257537, 133005297, 733083416, 352030484, 416417987, 31046177, 789610154, 143078289, 972144169, 519585422, 713773983, 743953909, 789468052, 579673103, 793077905, 561509525, 547511691, 593908937, 426791970, 304949014, 92605386, 311836787, 351572040, 416125165, 15472407, 735831411, 737020969, 498659090, 960977342, 285434549, 170962514, 594956944, 309926421, 674016021, 916315119, 29939701, 688865608, 426322789, 905395416, 397284131, 471742146, 296394215, 387697167, 505295992, 345166291, 477731925, 769333391, 96180846, 460853583, 234052321, 798098319, 849346879, 731258574, 429623658, 401958066, 71962849, 935393286, 935306780, 809304567, 507944616, 859484908, 286095697, 662967281, 85859510, 296579683, 993281324, 422814357, 33626861, 611097269, 572518423, 161063952, 160650037, 297723925, 250327663, 471902634, 926101990, 154045072, 780099016, 552910104, 804265347, 673658970, 778480557, 187521644, 870275979, 878530300, 777726947, 453108825, 961072409, 578291182, 36501843, 216442318, 821779412, 12635942, 349467917, 373418970, 925297933, 942637689, 365317250, 367852686, 49791316, 419923008, 811268382, 305959333, 936228679, 317854878, 743876490, 333509752, 935519233, 722300783, 32138366, 236289356, 411396024, 866498365, 25533157, 31403714, 921008884, 249715479, 221580585, 259604756, 785352734, 473300458, 211225496, 245946816, 878165324, 114587802, 894937202, 852051504, 653135057, 864154595, 293382658, 140584367, 214829093, 541484804, 636368738, 275908913, 630990221, 52287870, 135102029, 157684645, 551869617, 256866758, 867163657, 313571664, 230201671, 264659636, 365218866, 838051052, 361977820, 506668830, 958067380, 94215046, 394261684, 290131835, 201232719, 906987965, 490955060, 828745297, 325680669, 792873507, 491884312, 309420133, 368844860, 360275305, 82615682, 169824353, 438015288, 720404055, 22496448, 974401044, 399085001, 548353350, 764889531, 169949759, 573087189, 527679337, 536934990, 184154604, 947085119, 306214358, 835979189, 395101060, 672311951, 638748746, 346214892, 145910820, 419220379, 633452007, 82074997, 569742361, 843233207, 468175601, 836581049, 433826698, 238339172, 962079774, 172080233, 606581687, 452831506, 225247041, 696785545, 132485734, 335275890, 596403077, 235472522, 7311951, 51374839, 488429779, 345241863, 415525054, 80860917, 323782201, 944627672, 731920277, 554379450, 531284688, 835425170, 932370287, 740648950, 733268791, 878758718, 295272248, 430588860, 962686527, 765421094, 336808317, 806559711, 300462122, 169516450, 572985532, 928559132, 704134186, 138111481, 20596399, 2397533, 892867010, 971069636, 971323697, 391576882, 15306792, 866272869, 182721887, 460134764, 619704157, 732255009, 769073573, 172078313, 890065983, 446203991, 963161522, 435109120, 225052066, 56883933, 661502941, 805074765, 250239271, 585018648, 487906196, 881558834, 135670766, 337529928, 433594809, 398879773, 548362613, 285300625, 98432571, 158374060, 537034894, 805816233, 49044300, 124122579, 543925542, 585773748, 980897343, 898348949, 457553989, 922350488, 752938305, 708119865, 172528328, 471951795, 609034098, 989630209, 841727420, 271862097, 351706597, 256718269, 232614165, 670509500, 903185872, 982459788, 363350187, 970600865, 814171627, 357990800, 808504596, 531122928, 572208398, 518022365, 122547055, 124470049, 481557735, 769396486, 3495307, 103349173, 491768391, 104537750, 195536897, 602217169, 734622399, 106565302, 868728965, 341247443, 235533602, 383986358, 684989650, 851734868, 371465755, 672574893, 74163486, 504501605, 784942139, 736621646, 154109523, 508281373, 745708661, 803155514, 211936417, 713077183, 771442077, 685768328, 314937687, 794244951, 323349738, 283603904, 599564081, 525123408, 756461336, 162522900, 642476502, 28277410, 760492107, 380921533, 848381540, 573222682, 155204004, 871905629, 349765603, 229753852, 435579468, 942475017, 537401518, 664892757, 49097599, 979515817, 733596390, 291916738, 924533445, 5237515, 835901177, 198385216, 515236823, 192555486, 112070315, 632609485, 965585751, 28355587, 961248183, 16759605, 590769780, 713999165, 844686638, 560919609, 955981811, 826128466, 31136076, 763754777, 973511878, 314183718, 297409165, 434118760, 974092364, 834781362, 183120393, 733824595, 665460098, 80130820, 616392854, 611382187, 940138038, 826243756, 275228295, 665025095, 84795116, 142488551, 768655555, 619278626, 376307873, 770001805, 258571358, 967199493, 477627567, 604871755, 770956248, 346331922, 991286173, 514976182, 830629451, 956044352, 248850561, 440387509, 482276865, 602783791, 533059261, 221837307, 243283294, 798792589, 220381983, 305796150, 659097514, 857179223, 160169776, 562384655, 524380909, 29593579, 192403950, 458152320, 710712925, 544206001, 2189089, 843515265, 931146764, 468134614, 420807519, 854981143, 37322675, 601121046, 450634292, 621607298, 164396962, 662130050, 918427797, 767222412, 93498564, 286046994, 960351024, 445349969, 472744730, 567226357, 926401017, 130218543, 252744011, 142674459, 441669541, 22203417, 415433244, 807555956, 569271461, 319221987, 954967958, 749377940, 35584261, 31350250, 159355915, 388002186, 199182605, 724492140, 42898601, 377948317, 839718206, 780466903, 551324929, 378592251, 510179683, 141872831, 696800866, 637044321, 138831305, 724838741, 50681291, 641321803, 668999329, 83888322, 730985912, 402647325, 343110130, 187938311, 645739752, 642275207, 551049599, 36141837, 32033551, 131636805, 342801278, 192051462, 204043333, 302454997, 468686439, 421545508, 221590818, 975016376, 700155211, 15183851, 847118995, 673173803, 282824164, 973115914, 443666189, 987340313, 533526077, 125472168, 694143633, 161173970, 426497860, 715045458, 875176998, 218430033, 326657225, 644865309, 23933391, 167071016, 398223623, 449389961, 725517176, 128904936, 241319892, 49696880, 605030102, 32042374, 124249240, 692645923, 853223384, 162263594, 940540236, 909835584, 945664999, 46034178, 446675554, 514360176, 261262499, 165505131, 995566070, 836768339, 203852759, 324415270, 310159539, 694458590, 154373895, 212255971, 336434345, 303908698, 399332118, 135701511, 701081927, 428262038, 416121134, 2218658, 603925156, 122414996, 872572839, 713113718, 187728101, 163765542, 753641172, 885075064, 927388705, 288985921, 848642816, 443951843, 729206188, 882945987, 652814722, 976909454, 923538500, 695773511, 718966519, 954757456, 446476119, 760573933, 970398455, 941429085, 410347056, 364893492, 447306283, 179404217, 864039695, 519300250, 451583160, 760150404, 252545589, 427959888, 903556055, 5060832, 758978429, 13078736, 894393961, 886413421, 624665766, 529331765, 145441798, 423309500, 5701368, 494734368, 381487959, 926821008, 166128837, 157119093, 650945805, 262320858, 720653639, 13919612, 193906056, 141383686, 812764885, 134504427, 153452702, 779744098, 803848399, 371249709, 468612421, 909276166, 764916539, 460693708, 435203406, 969071140, 18112654, 576341769, 611312664, 721846682, 684390252, 993611079, 166118612, 690657594, 622002333, 100754341, 990659253, 25186307, 838338647, 262217242, 874525662, 366571802, 82199410, 268389854, 701461894, 124803758, 619268577, 695615062, 973053757, 984550390, 300512020, 792906532, 725021225, 213221716, 865494131, 164528207, 626659692, 710289451, 412492345, 799777047, 845554355, 383097634, 460923821, 78219324, 816697679, 442330272, 468101124, 719353050, 446670631, 661555455, 17933926, 490089616, 935480244, 92820514, 467853163, 317070516, 562951588, 777125215, 601329505, 466104218, 333510011, 891970822, 175348915, 48044660, 904657631, 830131672, 616396728, 650764363, 652412519, 501147544, 484521989, 619607066, 874257758, 14142788, 258778420, 134421995, 684650543, 995525689, 675726598, 699149849, 562090912, 256886552, 993136461, 209995554, 187900142, 359667358, 469366773, 928610905, 776757799, 880269748, 358732575, 793762438, 672760617, 346914643, 249295820, 698077454, 315429962, 194822823, 270560, 32065196, 193479561, 732149753, 968817337, 761883097, 830753, 946073030, 730397015, 831964041, 354793996, 959087495, 236418845, 568660035, 76201685, 564918274, 386928675, 349150986, 116505627, 457554331, 692203413, 291365098, 22519046, 15472805, 223507623, 100146284, 300694563, 829247071, 672021530, 945078586, 234683603, 26442681, 57268515, 492648311, 267817732, 762499214, 307340057, 266286106, 22789079, 105564697, 628267543, 380802673, 840694527, 383421605, 789351305, 742661675, 63982133, 250232067, 677301124, 963376201, 629571313, 581368651, 540139265, 315352492, 995731916, 652243234, 85860182, 911952530, 617270275, 457447134, 971435619, 375843644, 666288526, 121460229, 600592140, 143952232, 898468791, 923614341, 901705394, 220682387, 25238581, 652077558, 893364186, 721335697, 832488786, 299929164, 7048817, 808122349, 493831213, 770353336, 609455737, 81316157, 47707244, 201351344, 389040217, 317102773, 681938890, 173342253, 34405110, 648830192, 981323980, 515698953, 6372545, 665048853, 617199746, 478730093, 355610841, 298273073, 741419122, 709908993, 571790679, 355661072, 924843415, 586160294, 53228001, 147647409, 494488994, 31549834, 550954735, 264318373, 536313245, 401322785, 508119563, 615122054, 214915475, 531666473, 566996142, 515377467, 916359065, 522304736, 787386686, 909564698, 228765854, 116695588, 478852948, 473005300, 481356062, 348717616, 984063960, 14317413, 286773810, 366615, 19707164, 688542535, 321262801, 591153012, 918875252, 223927970, 59190891, 746177690, 527915232, 96171570, 590439468, 936420473, 520674289, 131791792, 899601970, 395891923, 654404096, 789444026, 604373936, 543551305, 844121449, 921104358, 731741792, 17253410, 999882469, 450934822, 239207533, 674360674, 563015352, 841757334, 189041483, 953373394, 722807309, 652680376, 496732536, 784995206, 137132942, 407272146, 831711854, 310245725, 732028082, 166962027, 125070710, 561094953, 728309579, 907767201, 151323696, 638055342, 129840896, 503873311, 414105261, 84435840, 331336178, 84108599, 304682092, 139621389, 468742216, 450355345, 842946636, 79244312, 94293806, 825039370, 804822231, 621202289, 198367794, 883859363, 572222452, 842336546, 761156656, 652938617, 527694132, 224785750, 970398563, 938226703, 326090918, 741104246, 174270617, 14628012, 163615293, 258692877, 813007055, 236982895, 206444232, 125737839, 145214723, 148140948, 567708674, 559262431, 598938337, 176656210, 346089052, 38517754, 246935917, 996714514, 716373486, 373631941, 109296952, 277380732, 9867536, 573803764, 994084059, 996296344, 444276926, 808475779, 613073958, 650153119, 380426480, 674645832, 641407710, 599796556, 579061117, 618187912, 921512391, 978205515, 765527425, 450412050, 918965883, 683879666, 91092704, 2060337, 973165258, 260370625, 970268658, 607779034, 921604218, 354228084, 255790563, 600977888, 543505576, 162761113, 659621584, 862427805, 48395682, 659608724, 515051598, 321131197, 795616390, 412024338, 182602409, 113725272, 577317006, 806389805, 706419690, 768788117, 716617876, 555245957, 626962554, 609898936, 585042482, 572481961, 662775524, 26152675, 775583272, 284551047, 805608448, 46601761, 435877133, 642608809, 225014936, 947351526, 674191420, 94210197, 661630841, 501895977, 589819651, 56061857, 591920205, 306335498, 235720179, 187996397, 109076676, 212258037, 18806379, 704921619, 29065513, 312245014, 460852442, 113347196, 348777197, 296894075, 954047397, 166816684, 976451957, 786001657, 382433029, 103159197, 999300705, 600062232, 767324743, 852658857, 27955141, 946093509, 571307419, 478419613, 69422873, 32791318, 504900661, 631976273, 458459298, 556288675, 830436046, 409469613, 633680916, 694853189, 234377872, 831941578, 307692878, 93417879, 437991293, 738566875, 29071738, 967752955, 345228424, 799466808, 486908939, 247079283, 332321175, 359442027, 818467117, 782532663, 985861204, 950448050, 942953796, 870979853, 168593535, 873019271, 943022554, 843553954, 450166857, 387015546, 563474530, 753992524, 496994008, 973012857, 330964207, 216826113, 808514236, 160913572, 563985531, 484514245, 181387609, 126392208, 658680021, 220474408, 247048587, 404744375, 125869550, 794243357, 330379701, 789365091, 937270256, 488452043, 178860235, 112572671, 770123010, 689369859, 494579646, 934655351, 654444005, 299942220, 354339838, 864670265, 869616167, 288397811, 879076025, 958726295, 920247464, 438009021, 377635852, 457329646, 180891798, 551936712, 754547525, 38700280, 424439215, 64218147, 773993782, 122170188, 156293912, 112753837, 108442117, 191980910, 124773611, 322228571, 417582531, 148906922, 593528441, 504597850, 442460132, 321169789, 10186217, 498967481, 132185195, 869232253, 55220946, 343517944, 100150656, 874898699, 818718240, 492391063, 937478415, 797735750, 981531107, 360110763, 997496965, 164700734, 437422135, 435714044, 555713332, 423260531, 523466755, 296687039, 901003093, 585359029, 996656965, 963849710, 185492948, 151472620, 858181987, 230733479, 593391210, 686680786, 592667522, 125666884, 530561946, 378864710, 725252877, 557674108, 467491194, 630581906, 685866809, 971681825, 703236088, 38175141, 13354206, 879630360, 500469866, 662703637, 6505129, 160694368, 707358224, 476605899, 274298675, 42032014, 968437477, 427251980, 369246364, 97233556, 509739248, 281690967, 535537297, 137596508, 756828402, 785510168, 489688367, 290147236, 616328296, 261951265, 29550469, 17164306, 294223944, 421680359, 482058167, 248984997, 515860609, 749347651, 863347129, 524198958, 284379674, 270125988, 315262257, 30308059, 335552859, 348041033, 147266523, 370007756, 922331939, 359728108, 829072467, 700259779, 472753930, 647117325, 597886929, 631911847, 751884093, 211146129, 246130219, 280370701, 220406260, 23599735, 688389490, 54601535, 869184516, 123853969, 891353789, 729129868, 455114276, 331417358, 107235494, 616292797, 202567167, 722053683, 17026864, 921951687, 379550553, 652214052, 784716637, 865145873, 555924123, 99729399, 547450891, 141630236, 265366331, 913621332, 740596852, 802453918, 293227861, 777061220, 275644209, 53013662, 659243083, 370686554, 550178825, 674325902, 746585199, 891043801, 229634964, 718833785, 531554473, 562018886, 650003074, 389516143, 723981737, 306577384, 797138857, 843159529, 60495958, 276007533, 274747970, 934860618, 297264474, 148423922, 410503489, 409776418, 288385786, 735392563, 847514490, 561809620, 795834628, 858394720, 540503720, 801566515, 420477314, 58582833, 384586716, 722603957, 990693488, 181655902, 608918611, 628265379, 741717925, 275043332, 915487751, 750538532, 446629638, 311708560, 903285376, 499891289, 376591808, 395533892, 49006501, 600765095, 427077902, 741301863, 332126846, 7895827, 894881512, 614524168, 15353313, 912826176, 568593747, 42297770, 644000572, 391335302, 880313573, 790265985, 533221853, 388419280, 744998837, 376307201, 343379415, 563973690, 235881475, 160385904, 799045291, 583921334, 717081597, 267094819, 996746242, 748753038, 38913665, 904533540, 905791671, 679199170, 543778983, 614208087, 553788239, 905011652, 525286002, 19772510, 441615032, 894373481, 951361320, 897959878, 344113971, 623528071, 469835084, 446104348, 543630107, 884827011, 829092398, 822504001, 782524695, 661238212, 906555986, 695220599, 402525621, 605874754, 833459458, 858710397, 628579473, 62693522, 574975796, 663299575, 900923391, 424744909, 517809985, 972417857, 161187141, 42458426, 168473300, 842844706, 799715602, 70935144, 373215513, 277453353, 846343474, 75503954, 613618491, 34807420, 713323123, 149515617, 26598624, 840877756, 626474967, 125714371, 515929801, 202908734, 314326717, 465234945, 295602001, 431272976, 93391274, 424645419, 455274020, 739989340, 516717877, 787740422, 475999874, 382872511, 464735890, 926129047, 355207206, 369760677, 558002190, 262163298, 430086295, 203554272, 520983080, 306518520, 726329248, 99640741, 285492629, 349943304, 775752325, 992866188, 97207011, 57299242, 998598988, 635711271, 763416184, 44656149, 163390108, 797855174, 695305361, 560243809, 179157315, 900190017, 953845994, 744799255, 649814180, 858592642, 249476167, 960317777, 349253487, 853003288, 243172703, 70458743, 807023161, 275930756, 368443496, 373115789, 407970033, 913083795, 789317019, 286122178, 441322471, 326415897, 405486483, 203995852, 600903593, 77100505, 786147360, 459903034, 474584720, 249084960, 3804547, 647981135, 74503689, 892895756, 749760613, 595012395, 256318116, 499032197, 968098591, 770320295, 760007083, 26849484, 770409054, 788684182, 880440369, 280706893, 461016767, 564237910, 973392124, 385659270, 652583441, 633931532, 189626842, 35337614, 608785619, 860278743, 30178449, 160783387, 603302242, 263556644, 568107144, 376562178, 964303469, 843004581, 77276115, 41244275, 929694283, 768122525, 402469877, 100600554, 951630171, 749427392, 977723268, 961905471, 125181640, 683234812, 876978079, 319051103, 314216376, 765210395, 99409402, 977335358, 228643244, 334470828, 881027766, 973854217, 518503526, 56526401, 376315483, 332477269, 590949227, 953996370, 728062481, 84764756, 336207609, 802005322, 605535537, 209438327, 857802365, 929955439, 478441381, 543475903, 207241610, 175088292, 130028661, 207546687, 241634137, 68260727, 355639175, 638650472, 328898557, 519092642, 37286917, 979764824, 745882537, 587966150, 697758397, 137629763, 212066470, 817832666, 639717282, 6357857, 94212857, 660052466, 171796015, 669714215, 210660829, 2044437, 869069584, 478139369, 321066807, 880154338, 834061329, 759616479, 23548247, 5172068, 599614816, 869266597, 269394785, 173262487, 334417599, 977517366, 630838251, 5192410, 793264665, 195534386, 567101510, 425764506, 728736936, 305960951, 796725237, 113248809, 649262628, 658287778, 135328977, 322625805, 552922573, 615922778, 923744383, 778221586, 725033066, 521285726, 884105989, 161535762, 753093267, 10312256, 426179691, 394872112, 259252858, 132563719, 146785274, 538561016, 135912688, 166948319, 872183439, 377116162, 637038155, 722504267, 421955892, 54261878, 374690273, 721221665, 848806401, 542707589, 27636530, 439232121, 54998719, 762110098, 131228296, 74606423, 722656332, 394330531, 35968402, 756010928, 797987807, 937013339, 732045205, 627435054, 968848943, 262942701, 866797727, 231936715, 115142366, 485794677, 341469061, 926416479, 626966140, 372881042, 108259309, 820940027, 599236400, 518091081, 355753007, 669431518, 71225844, 448389289, 183560522, 112806999, 914329366, 114699008, 848940086, 761392156, 360583348, 303794666, 15735626, 913144113, 847340076, 643982419, 350417398, 614673409, 702316442, 633023007, 264069491, 488132171, 101981640, 614999199, 998504717, 697650534, 32951143, 815591968, 983040712, 487424124, 827379026, 974278602, 347211296, 241092780, 66276998, 635873871, 718247728, 838659880, 117371352, 150349874, 22729099, 999265435, 961592630, 141434750, 959745671, 913412261, 725444217, 725871614, 970988777, 357966697, 413996919, 933504419, 535578924, 702360068, 775608700, 798756577, 932210019, 631181645, 42123917, 580341945, 459090480, 545096447, 500471616, 742301239, 500676739, 918250701, 861937408, 8280869, 639926834, 656185952, 561163726, 736323876, 507277165, 651666706, 281074016, 437181713, 948189449, 629982350, 186579761, 182453591, 772837696, 21585112, 18662620, 85708314, 863213229, 942777407, 289582393, 275613653, 73153973, 199050554, 778575806, 100848257, 299267636, 138664184, 58380279, 156407473, 811008534, 738864498, 565535313, 847979462, 243990363, 462176763, 47470630, 714911269, 518052990, 739199340, 811462171, 892763361, 926994665, 830055654, 749458370, 384326141, 167063871, 486970881, 528990087, 582449234, 720493175, 69040626, 199769815, 376541564, 570737090, 709910928, 781655745, 129254432, 435152478, 879133647, 748862042, 292922549, 754049270, 374622468, 937140144, 641874572, 540582450, 106467705, 464423930, 144197909, 619269359, 272323162, 65440667, 630113736, 877130843, 100224033, 472705006, 574935651, 441585831, 673440368, 720406916, 86182358, 707790620, 973604957, 871929702, 687504409, 277667190, 248413966, 81196684, 20036225, 435832959, 235781349, 319143872, 712403026, 182482729, 178597127, 917657598, 798732108, 930724816, 675858490, 285556424, 16284690, 860555597, 266862304, 855365897, 519634996, 227539515, 79958251, 221064119, 548463771, 162313483, 789262911, 880028850, 829245666, 960773735, 85178354, 749243297, 954810539, 983111419, 885457784, 323032775, 380164502, 546223482, 405159918, 696325217, 922387410, 279357074, 67387491, 126580273, 240803894, 638710421, 59490484, 283585228, 838799954, 241862971, 994659720, 323502749, 699300057, 366918356, 494727339, 1024681, 388277619, 747484210, 83616577, 769593534, 907067909, 62760932, 543825333, 880901277, 563001392, 100460915, 414154226, 282745336, 565682060, 635321750, 118299597, 597759801, 19889596, 43042958, 252100829, 311404069, 372771824, 758661218, 485544760, 663996948, 362440128, 444026297, 136780373, 376442843, 687414262, 664594787, 680420599, 117875129, 392569481, 332488239, 757949615, 681925457, 905492653, 280609200, 344219740, 157434544, 391064327, 418611297, 15755941, 822219247, 549602928, 641015850, 693095160, 257923416, 907260118, 523343607, 658059729, 350444051, 845394114, 69644221, 919554829, 538461120, 784523405, 993460647, 643365807, 619933079, 904180143, 792262657, 763969016, 445235545, 172714017, 203987133, 835494425, 6943654, 418420601, 516283366, 286437902, 775230428, 429955581, 359414909, 604317007, 44971019, 203911818, 463184002, 681839771, 243684114, 927102705, 268090772, 882401972, 477165818, 162004921, 401340496, 937816774, 244556256, 27431235, 752251367, 240273721, 71801001, 622439643, 895958220, 547884921, 692117173, 655351950, 382446893, 713967805, 956142661, 12597096, 726864219, 152098110, 649297589, 477932358, 366418538, 364509162, 454629907, 638384414, 705524845, 265642660, 291184178, 384856795, 398303390, 597833102, 640466525, 231011273, 838529434, 35418702, 844765019, 72763678, 422894784, 903584718, 427507133, 347922855, 656495467, 766618509, 361805703, 475545353, 488531214, 599609589, 305472999, 297064377, 593161933, 733619287, 167749290, 656300912, 527812076, 729427239, 651175038, 856840668, 886077269, 596789076, 602186572, 353774743, 175596176, 32898709, 550250194, 163051871, 548082146, 975803247, 704015217, 763413709, 476166265, 361463272, 935941909, 782410867, 164197608, 415075040, 746644402, 912222943, 884033559, 335395033, 129817968, 883803328, 261814408, 181745608, 173942592, 794380828, 958514213, 472041161, 533027824, 610650000, 80838522, 107805476, 513203870, 197600551, 838247769, 214463082, 330068127, 178707351, 875667251, 676601934, 539638424, 405589312, 579013248, 336277012, 890338651, 334536953, 759052267, 241601832, 133324125, 84521621, 586378603, 245442140, 820529434, 589738323, 666336143, 659548438, 549182076, 702940427, 906532988, 877542615, 336775413, 139824534, 774367420, 743734441, 643112670, 378428506, 911484539, 257865298, 28523855, 90563137, 732487786, 812154152, 885681848, 277288064, 735080496, 819510677, 599552368, 565844761, 197516557, 964974571, 206761206, 254786802, 111656708, 688082166, 127106272, 520682500, 10998749, 922304211, 318772816, 891103200, 7250144, 316276777, 953357416, 731365014, 115373675, 888961496, 269780044, 62009377, 54525210, 423956543, 764845318, 377753156, 709944970, 757549368, 371389093, 112542248, 802309757, 354180689, 910308264, 898861658, 104164436, 332310998, 879768239, 148384358, 869276119, 476857480, 423609118, 323130891, 816150689, 48948387, 586158466, 627028051, 270823037, 64202148, 130775948, 951650694, 860515850, 63724305, 567198025, 952893157, 5652813, 816611892, 772709698, 99850417, 737131893, 482048764, 718108736, 488065568, 763943650, 442413271, 405528809, 903687726, 532356596, 286199778, 359784070, 169860390, 897382605, 703431116, 560576068, 474289376, 66383975, 391618092, 819853316, 962693745, 731148239, 700566784, 113234750, 600906768, 11152377, 151966172, 997445506, 878214815, 943385219, 430025849, 534811567, 640539163, 617098204, 518944618, 574755527, 762810663, 385058712, 901167239, 859972170, 446978605, 935839343, 951326371, 716241883, 763576893, 282408570, 734330358, 852471763, 131141618, 621043402, 775298012, 609688584, 45033053, 774534917, 708269490, 398003900, 856421876, 537959975, 856394681, 512548399, 254383052, 688604107, 848932266, 844529508, 770908770, 221347721, 547104787, 814451709, 424062741, 430361380, 322808354, 629665142, 495331185, 638295734, 473054492, 3759407, 893173367, 604273846, 544750922, 262007758, 678585628, 612576231, 855981471, 904367380, 432074886, 326565578, 146318194, 129786947, 977241798, 352057925, 243776739, 183196659, 87982829, 733597206, 386320971, 995770082, 815630532, 856413075, 479942212, 291367612, 172526851, 359013372, 288363442, 41506582, 208740122, 842104349, 847089179, 312925971, 884773571, 327643864, 232034733, 609119837, 276284523, 164823052, 895983932, 130289088, 727145030, 55119274, 402362369, 61689409, 514512153, 526171655, 236329542, 99150039, 308034637, 32575637, 123102176, 770539916, 780399635, 838864777, 827309366, 238902699, 932737103, 441688292, 275118677, 220889654, 12262326, 518057800, 384044823, 945771671, 504151470, 303785273, 542678951, 161018490, 432971574, 762193646, 562971521, 707460493, 163133188, 517197231, 974382823, 648389296, 726138962, 683280263, 828474126, 537440692, 182201047, 550027420, 398410329, 639210330, 998791579, 790501947, 162938885, 344814228, 248730821, 680270246, 209266398, 978135715, 628616202, 155861357, 63346321, 573211563, 991520229, 719240673, 854074538, 44543058, 19838979, 198338550, 608332081, 617909526, 521968666, 975122232, 405806427, 850595463, 676397369, 201244222, 740138564, 34425404, 251516993, 355289598, 75929233, 395319685, 238423626, 612112850, 968175998, 994268020, 545132249, 880453590, 897492165, 541999679, 863220635, 281629870, 673757460, 248446919, 416769731, 814507328, 576033008, 139385176, 364848634, 509828150, 954731831, 19765277, 814222992, 579854984, 901438171, 691516188, 671461595, 756926586, 906590703, 882675528, 349252897, 563938360, 746242133, 960739993, 951927094, 248613442, 547359002, 951771783, 381561694, 415192127, 637439611, 754588237, 394282302, 496255210, 5698622, 994933195, 907694035, 973594873, 132972243, 484428358, 341754567, 401969810, 389891654, 692401913, 398749165, 642201226, 788787815, 693469651, 213818224, 848703806, 669865526, 817002932, 620790802, 621178361, 79921241, 292246655, 531276409, 63851981, 831544678, 31724463, 769271241, 140019214, 114444306, 270719928, 888284663, 658139657, 84674633, 910290933, 184906694, 621144015, 375356783, 250200207, 903142899, 486742375, 815664840, 924860499, 249473133, 447126146, 402262263, 158494528, 951075723, 402369309, 935739360, 302252169, 264303032, 306264765, 713195216, 909511516, 51542163, 764134472, 658880907, 91794972, 428410328, 616090065, 410124957, 853888549, 434113112, 655926463, 660971813, 61671738, 997962962, 661765829, 406879449, 440719067, 886385138, 928355130, 671344844, 285424056, 802308116, 617030581, 528752009, 55390350, 918529354, 618733972, 326398092, 28284861, 547675417, 214074341, 432170719, 390952069, 351741090, 26296748, 2673052, 694014516, 939907871, 820004542, 377476295, 871721159, 109601510, 662308225, 97020374, 883996416, 32878892, 603636652, 864672861, 543631259, 854845307, 913986810, 467607544, 270468442, 307683874, 631017134, 476188572, 946463352, 36678345, 965360754, 979835110, 257071893, 307998109, 512251967, 7396003, 477526692, 719334699, 258741376, 297284301, 190384272, 442954713, 986939577, 433662670, 637571738, 235354050, 920397333, 940004735, 925164120, 525665397, 540082402, 619069831, 693072720, 269134391, 883068466, 375159674, 235250888, 474537248, 492380181, 64810575, 960200631, 555035412, 639077177, 902359660, 228427736, 861917607, 933816759, 246992974, 117868675, 953526831, 832727574, 176791330, 94166204, 774586698, 863252000, 808846802, 210002673, 447770042, 695469409, 911321593, 160602700, 327364465, 936455648, 159184321, 288475381, 962645859, 266574850, 655494890, 535703975, 144299369, 266023458, 789976809, 503890316, 680203671, 139364015, 191721686, 136303482, 167890963, 385733298, 396973093, 715545432, 283419581, 403820989, 449881610, 508224619, 75042411, 115470705, 453024555, 84064004, 20904844, 529457355, 963783020, 703886942, 124543796, 201389325, 508971003, 89681260, 686259307, 510661876, 55966729, 98563160, 245938590, 359653537, 340866589, 29932285, 425929960, 657145626, 925923682, 202314685, 40196349, 438556220, 329178285, 336514401, 80331344, 112037042, 591593770, 723325844, 150521601, 268748844, 941604590, 685319323, 730969331, 191662397, 747874072, 584712626, 592284998, 811073002, 309901800, 487784316, 495397557, 342549, 517391480, 678012624, 700053136, 633299300, 575102495, 753113048, 490321246, 864922955, 234006069, 206424571, 166370377, 764339191, 963833550, 328197093, 527726385, 297481306, 632912262, 844063002, 489659517, 233332323, 745716264, 120465693, 64599939, 565186717, 49558498, 573250773, 551152778, 974350265, 493266784, 531183327, 706993856, 814713783, 180823112, 535218055, 158783478, 550771994, 863674501, 295922182, 812045430, 707996573, 508054161, 566243350, 191383862, 653252955, 646602194, 949034611, 694323867, 417958632, 504639167, 842839832, 880120414, 97196651, 29172659, 572560814, 362298722, 649535528, 968085477, 490451093, 486885312, 181035975, 976337549, 547139982, 337117495, 503150031, 447207361, 936428878, 451994772, 582801903, 266214091, 635636018, 790944012, 345248270, 12741962, 214919800, 53820100, 41039801, 422758675, 763194779, 438899082, 464178890, 418685789, 692307465, 109754932, 928211947, 842319900, 457713325, 407058802, 650592661, 81577063, 904111687, 107733459, 316226209, 467642459, 700214466, 359875716, 526383549, 885657892, 739879786, 533693685, 225702804, 56684377, 335648978, 834115450, 675173390, 323355127, 213027756, 342213032, 317303413, 599508382, 490635002, 214571991, 343461440, 248270546, 93225317, 840541484, 310288733, 258696141, 282684485, 301374384, 536414270, 379543679, 424287452, 891365780, 693093025, 875567783, 287458839, 808369820, 518837599, 779129224, 43555002, 464957442, 483246176, 176236615, 116493180, 677096772, 645590529, 788249982, 276112575, 591886897, 354554060, 337452726, 594553656, 353544897, 93095187, 643456065, 448008944, 668074971, 16469741, 566566119, 325510620, 887961604, 513855572, 665116931, 183537138, 354347506, 422683566, 475405138, 810563012, 332120407, 113846153, 355063817, 322886194, 89633227, 476510004, 229552630, 37330339, 89840177, 778656572, 397002822, 94849392, 485367025, 694110556, 992617187, 12224487, 238333290, 992811266, 91532536, 483736226, 180596510, 739263100, 27173345, 408703627, 125911928, 861707658, 909933249, 640871073, 718649191, 982093080, 695650104, 364255963, 587972631, 614725630, 659113614, 581891460, 167484911, 292827660, 701153967, 318799084, 655692538, 52505362, 972450197, 298359317, 968899185, 495797557, 461394395, 655070372, 38019002, 186209351, 123226904, 569655959, 839698507, 426793526, 120001674, 848351916, 405821506, 480391566, 56108455, 903297189, 761871428, 620921666, 53086403, 961706806, 697013924, 802968544, 86403102, 872084265, 396286794, 575144149, 273949336, 193530295, 496525995, 874955996, 773897489, 675185385, 721082033, 895630773, 894417600, 220925803, 427868089, 64837301, 485192178, 793988748, 449254835, 358706485, 486580399, 424217172, 635706223, 4477775, 577906432, 555689671, 435079780, 436649269, 253352805, 57146299, 911139477, 256958133, 574888866, 525536903, 530507181, 669548584, 832034351, 451992574, 846941128, 494354805, 617309410, 878072023, 369302250, 673969187, 227944978, 698974770, 564197780, 451460533, 35891183, 357138925, 894039299, 687040721, 739011001, 109340960, 204171232, 24470041, 375461076, 97196682, 689623442, 444955514, 612766067, 795003545, 219236470, 207306131, 608629542, 711786568, 692172424, 450940279, 943399972, 733098474, 108305534, 638927472, 2853788, 629484912, 631183135, 881045895, 264521970, 476875628, 315664685, 927815305, 840244324, 820409515, 220111397, 452781068, 566725857, 9046532, 77053593, 417307747, 60528746, 47980282, 969094810, 734039453, 686588444, 712645152, 579084236, 301852231, 84284376, 992391295, 173936729, 358698817, 559465136, 563989175, 839834779, 249276436, 285357626, 552524333, 55245200, 594761723, 377939522, 853274016, 630083652, 279059869, 511031468, 714894163, 906414892, 203828130, 383852761, 254628245, 606424538, 729864405, 459009821, 394219795, 914954096, 777334307, 292424255, 635270225, 400426787, 912680940, 868550215, 975694236, 225345746, 770787257, 429666221, 414083488, 976120147, 461114148, 518664708, 83378344, 321100666, 752176027, 84185176, 417829537, 616685422, 142298837, 376507489, 231831349, 256389089, 750251114, 497344155, 99737296, 785409928, 445599030, 391378411, 463709831, 943547204, 350424060, 98078702, 648220229, 977739439, 410295980, 21905264, 270807761, 155101687, 486650107, 414508567, 682891156, 491444743, 450438301, 396565874, 469387518, 942364311, 135027469, 297085866, 426610199, 4997814, 387654759, 386297650, 868341221, 97460259, 924991977, 443923791, 475943090, 437277219, 835412428, 180220632, 602503582, 679935369, 737289131, 581301413, 893319970, 990060056, 528583181, 283520577, 227653409, 788528774, 914711846, 534984893, 305561072, 258743325, 208881225, 763111794, 837963897, 795400588, 912682564, 711440561, 579732930, 738611475, 158395684, 188367775, 339899200, 271377262, 292146360, 710453664, 427125480, 24925201, 923055269, 520910261, 297253032, 769302660, 27265467, 357231129, 307238005, 515072349, 458156592, 339329086, 867209461, 507438067, 286882719, 512847335, 584614770, 51757485, 803903573, 153341653, 795780297, 384747884, 366442700, 686951938, 624505316, 936611077, 285544303, 483214906, 600606463, 891373053, 958598456, 305785506, 773577830, 14563262, 111792130, 655999038, 451356757, 491839318, 592122939, 699094223, 333286970, 651477571, 681952502, 435889236, 570648901, 921546237, 430392845, 686303269, 881101750, 977404297, 107414835, 864528906, 775178265, 692808137, 6729171, 916698534, 323378979, 124995529, 47455253, 265320042, 647731329, 782944569, 415726785, 598981059, 952068364, 45645819, 300773919, 445493956, 311457993, 352758057, 648111110, 955593906, 722863280, 360562123, 39504466, 69827274, 628550576, 282895426, 753905090, 566140057, 331269055, 122772696, 756422518, 129123994, 242031048, 793216161, 80180942, 47557061, 879173845, 711187195, 208458674, 998156779, 560146678, 502187485, 636399733, 557657361, 430011865, 844270555, 119557967, 480599326, 754138367, 132542186, 561072095, 583659347, 356367004, 901689683, 235139568, 805532957, 369317902, 315674688, 539263987, 552598102, 727227132, 681758860, 268387118, 740922567, 29655649, 447875151, 523405226, 426879137, 629213569, 225404966, 973957145, 3131649, 424747468, 792110986, 776632439, 158725263, 632443299, 321052689, 172977442, 383928916, 597021478, 605674309, 842521879, 109270910, 237990125, 283103895, 51478354, 516567175, 675950121, 474644165, 110706931, 101161479, 814855041, 328136184, 953984427, 460678248, 821486824, 521578752, 20893078, 842445597, 233110662, 536073882, 6070899, 491169338, 541791987, 953268955, 403568703, 166272985, 995507144, 245669355, 131836584, 143237404, 914783361, 428490420, 359013388, 763076357, 934794404, 851894616, 400615478, 575199947, 252570298, 143840147, 998842679, 129003058, 802300757, 953665068, 490687576, 30981485, 400652107, 320686927, 206088528, 135699127, 535210934, 789090753, 192722360, 123819993, 745904578, 950065808, 216337554, 863177543, 287556830, 179610429, 339373019, 900506148, 575211468, 906496551, 469928213, 912749664, 274044086, 222048557, 933476943, 121795040, 892948567, 306476338, 542454291, 165673214, 292313701, 618990545, 518742811, 780617024, 475490939, 388777352, 29664402, 211933264, 113782837, 86598788, 956608325, 769782407, 742819970, 413804262, 258996019, 655892344, 50889250, 423199319, 885818710, 469473075, 57288920, 464987397, 220016741, 429883616, 895420125, 791719362, 336119839, 953363924, 324661290, 961383344, 29302452, 316003978, 14502851, 691389979, 552753299, 255318302, 742906325, 13188593, 239626465, 500563830, 154979491, 622228645, 88528475, 883732367, 102230432, 371225343, 437314221, 322777771, 310265925, 575705030, 425779276, 37407570, 320350349, 675592983, 120139100, 336073721, 967362227, 479389477, 373576464, 214528105, 684809621, 73117252, 401728246, 628585838, 429562946, 691400077, 239461651, 33079510, 416929522, 307990346, 148355062, 385836862, 21993270, 323707395, 54230867, 412596911, 372979886, 43546425, 436452551, 598217416, 824073001, 771656973, 165006636, 197586302, 667042834, 334057196, 54960185, 985573913, 352255773, 366381544, 828736491, 315964124, 731340225, 597816192, 54173456, 307242489, 981869607, 529477538, 333543779, 678681776, 431986446, 957594935, 274522642, 715105238, 28794427, 65138256, 690066824, 453782254, 136173311, 804749072, 454073130, 118473747, 46643202, 224010865, 500031641, 698378436, 895636803, 715504516, 862777219, 270643697, 592770910, 528177380, 766582830, 701729619, 968109788, 682287803, 853035954, 840258912, 144811203, 150456104, 882087137, 768645428, 514332188, 235985524, 216547968, 866450876, 613073758, 405670890, 642175890, 675622064, 112551797, 764218449, 773474216, 106901256, 688242996, 651886495, 163678301, 202741736, 104273190, 553399159, 239455240, 677757781, 836169968, 899580888, 534633893, 455484195, 984037262, 860915549, 776324347, 314179479, 729847769, 895319746, 388116565, 607396109, 706585658, 210933250, 721296475, 938988935, 675925150, 27411417, 400129426, 175543931, 565538225, 411349380, 729076358, 205395768, 970043045, 216538015, 874914611, 159232198, 637960750, 92343346, 6125275, 339556520, 867185775, 903669597, 240849465, 378518641, 716811641, 137140376, 500286929, 116509627, 102396404, 953789441, 478043492, 349468572, 827078719, 650132045, 548386065, 249657928, 784289350, 883176065, 875473866, 511087971, 992808904, 902602910, 348186688, 489586165, 122216078, 217022904, 146886775, 535364013, 71667259, 936965629, 708139634, 773297905, 633253408, 597442270, 425404862, 737423214, 384278300, 487473963, 899086993, 982531550, 592740256, 737262357, 781015909, 290271428, 828133234, 211626672, 534344250, 306805002, 202048988, 567932300, 516249494, 460312738, 757281124, 588771802, 251938826, 496167204, 618220052, 433565981, 340154910, 75232983, 758184412, 495618854, 369834492, 627827911, 376876642, 593123918, 474041096, 401725121, 275413500, 451563092, 902170997, 240339154, 616834680, 443588292, 799057588, 536191819, 34009148, 613775575, 746886681, 722240601, 37772184, 765972055, 663959844, 696896982, 61379729, 276675257, 88233785, 292402912, 257465946, 239862616, 440377402, 63715394, 52404902, 294408353, 215618341, 183054356, 106784806, 837400649, 419876786, 99286146, 142745404, 382490913, 139390062, 354892006, 70651506, 246121556, 737308093, 239813908, 711253785, 666311777, 560776350, 212928408, 866454660, 696044611, 2386397, 823465128, 406493874, 737551456, 616100517, 27470896, 348397400, 328766985, 184823742, 93775102, 821164234, 942485202, 811473457, 244526795, 385315166, 172633639, 676495075, 688818973, 388784085, 461061939, 938448529, 655258841, 174208457, 436332946, 657400240, 54981356, 404583854, 412748284, 663464818, 732871469, 736298901, 219193599, 46259103, 289557552, 344594570, 404578656, 647824033, 790049869, 463404340, 764765397, 674085352, 105217376, 855703786, 11855461, 923245036, 644644321, 410518287, 621845606, 340544974, 95062463, 52787153, 780594757, 712241366, 427619624, 893032986, 682149446, 503870964, 406004068, 294550100, 934346071, 296310678, 362825530, 802791621, 418533905, 178001762, 913224370, 922326605, 175378482, 262134665, 682530977, 207979752, 996973816, 472767408, 998976339, 16861024, 987024620, 673834692, 399439172, 596692085, 652521442, 949657179, 33973541, 251392289, 188212130, 667242453, 421549362, 382898279, 569733545, 727561473, 397487683, 762806463, 711435264, 753501845, 746076791, 69601812, 510257390, 514519719, 180051536, 317091452, 213608677, 319291496, 181898947, 459640392, 1260826, 570243308, 670106523, 610077765, 361557740, 493450938, 809397559, 207329482, 502743920, 329817438, 211796127, 864415077, 850825798, 575765688, 225054518, 57236854, 444015186, 318381382, 318163333, 22866781, 58976866, 165719121, 371582920, 748308460, 272761519, 399649738, 338158841, 31759462, 514974992, 682757308, 801164990, 31712403, 786330217, 882478234, 343215355, 847390703, 106478433, 696097831, 137781359, 215306131, 536035612, 70301654, 28418496, 98422251, 177477857, 763525829, 724399276, 524161107, 945439952, 718285180, 904590532, 367484346, 178862069, 210981193, 133272729, 782829828, 779975948, 214082941, 905906800, 196735092, 97629186, 401998992, 1309135, 384495691, 87164178, 381524951, 747908229, 258613503, 857775094, 511528684, 529155034, 3892900, 236892050, 442061365, 734521449, 78687372, 354125273, 526388541, 41692542, 984642719, 774581516, 494317064, 547350126, 19123710, 28668667, 919392617, 415768241, 795092014, 221859952, 318476194, 767763050, 383711792, 248053793, 767953111, 678776616, 444295899, 238604791, 426653852, 635305334, 786463072, 969406340, 892890754, 419254193, 142386276, 742571975, 788142112, 144421321, 512684191, 292666379, 301968560, 470532311, 278627357, 807983453, 475754364, 632766953, 647670689, 4491528, 656977701, 47496963, 255040743, 977271273, 111199846, 677455132, 442130607, 139437520, 424242510, 181046351, 728666858, 122133193, 910629415, 183141283, 279640298, 608172145, 841857944, 686973783, 88067233, 519167458, 910920633, 57897382, 140788536, 382010048, 853053477, 929943141, 80619984, 553643205, 383716227, 897167410, 92838210, 89523673, 858121327, 806189957, 581510164, 918692397, 727764920, 141192989, 103057354, 416615187, 181052914, 386754223, 117283255, 116744352, 107876835, 142217033, 841565775, 693752787, 551172192, 338495693, 185057378, 720011062, 693028111, 813814167, 581516104, 838672758, 664026559, 361226798, 836210323, 149544411, 634203948, 903143800, 701236869, 874021604, 652868437, 419964383, 450438185, 306189946, 465132877, 256845149, 185496894, 247655037, 648621801, 785943410, 110058370, 607686725, 302930475, 242951700, 648814829, 466775753, 172626561, 522230370, 823959636, 669065160, 776533785, 610247571, 155600806, 610874345, 874257109, 490741397, 819928806, 294609210, 339870442, 712324637, 305617798, 298968660, 781174243, 478103255, 948648115, 666365048, 179723839, 979665869, 256856553, 162606996, 48696894, 321788711, 432609218, 727176980, 675769685, 764931003, 943587527, 159659281, 6454602, 51230891, 535837892, 762613317, 66616438, 459459743, 147258921, 80120588, 971179724, 990614681, 933426694, 169378120, 940226552, 171662375, 49009516, 667032069, 141368688, 211686499, 32338413, 715784474, 299696283, 164933582, 93188307, 577469153, 103301458, 664955202, 51871111, 933823576, 119570170, 730086066, 157270753, 518089592, 228469577, 677154030, 865893788, 418393504, 879193400, 609921150, 775778897, 70396072, 213992875, 670280246, 932929790, 867339999, 503231391, 723483926, 165778155, 885655461, 356115307, 711207330, 587949339, 107402201, 909424595, 621838503, 997099283, 806773023, 289567862, 773249799, 909858779, 945189338, 559637767, 28583803, 783455910, 939817811, 762386439, 986390722, 733684702, 83043709, 877762503, 767189930, 511853626, 206911864, 443358833, 310138825, 456865381, 358404987, 245365537, 857941315, 572549750, 377633627, 603974410, 179880331, 795842328, 389034700, 470890310, 897879736, 867420234, 179354450, 500695422, 919361384, 99066697, 783558979, 295688465, 50731484, 958099435, 603766474, 142873585, 561093144, 10847208, 24423881, 467551725, 866590130, 697376306, 157560541, 419727876, 599885327, 733899739, 820557908, 260973644, 492330736, 859575691, 153551715, 672540411, 905551537, 616352711, 44419232, 659751428, 386978154, 187257512, 817121937, 781910388, 321646635, 285721287, 524715662, 40607574, 511738450, 212605281, 527291341, 753557294, 417986221, 684551848, 572470467, 629213296, 392737450, 912038352, 78662453, 59768261, 452888036, 71881063, 235813254, 532081040, 303672179, 527081417, 566635268, 746077098, 411337006, 663455731, 234637655, 779011486, 647559656, 736685740, 307997276, 449164027, 876323182, 631850864, 211076751, 153459373, 727685260, 307532588, 127690912, 617386044, 109688540, 537460267, 266102822, 533340937, 171820835, 490430214, 391764478, 415224691, 335340431, 671662228, 346779629, 574377111, 291803367, 453652095, 714827064, 492617163, 500061606, 304313558, 140499516, 577419863, 31043163, 206933980, 828573784, 91846181, 983826216, 584191473, 803202312, 322601827, 167424048, 2096042, 667603483, 142146891, 328858242, 930779362, 304680931, 646749882, 637496618, 311705001, 244842714, 166433418, 894084424, 802708097, 590216807, 529963479, 232937427, 146764839, 860838922, 510905658, 874995555, 777591464, 356987957, 544699671, 403058554, 749148375, 227495545, 637849595, 896792696, 34423927, 227535910, 634224327, 982475882, 936318119, 626781025, 869759675, 303679757, 439774921, 88618577, 657113042, 238500436, 458566512, 172026435, 179615605, 617215193, 817952791, 310221542, 701897958, 386945664, 582446504, 544587236, 865957872, 693523376, 923629577, 749660376, 516430742, 110952710, 644496080, 44033681, 524499247, 228851361, 564774126, 410492701, 227772752, 280532345, 466869511, 701791839, 732060456, 427291437, 907642905, 239593063, 890225918, 65181351, 44790496, 498194442, 350420866, 565654900, 849339592, 115159004, 717812548, 849377671, 252442328, 682376521, 382530524, 62265902, 349581205, 242212392, 240025836, 620622866, 13011704, 673341543, 817784290, 99075486, 642668028, 813621723, 61884683, 613222565, 79836216, 860177088, 146641573, 484890808, 999595687, 907801570, 288948229, 206156742, 617044769, 950855812, 467721976, 764845221, 559345475, 350859832, 110492303, 292925234, 916811388, 970394913, 362409869, 703445858, 682368394, 254501015, 523796438, 326124648, 139073736, 440772350, 819098536, 656758845, 59740017, 59847804, 586103165, 190070548, 202460049, 422646247, 249542629, 689077318, 176916304, 773005945, 503739032, 211756959, 728282725, 903439614, 607993261, 996750646, 772747365, 318535162, 492718728, 821535469, 617315545, 970611660, 703314809, 278777079, 297654956, 405565379, 625892970, 517268242, 689253698, 954378328, 15500598, 534655258, 725198877, 317564931, 879592133, 395446070, 971703996, 145360328, 197639188, 95623455, 837029629, 197663461, 855103374, 850479560, 793249129, 912762378, 364650022, 174891476, 601233451, 262147166, 744097767, 138596866, 464278862, 863368134, 763382991, 926945942, 287059201, 38515433, 156211935, 299091210, 155618237, 961465663, 86877695, 101401229, 684628237, 960689870, 555511931, 224811864, 235119294, 394484931, 424030543, 486238472, 776983866, 487879294, 755999894, 358292525, 651724387, 586863005, 974925485, 328509708, 445730880, 575704914, 458864055, 819880377, 621208158, 770241378, 225739453, 929544022, 856074862, 255756381, 236576569, 347205385, 939852378, 719992411, 750365886, 656326352, 523852223, 739762587, 854833590, 231386604, 190599098, 100946815, 647535549, 783710939, 822113161, 963658082, 686559963, 544274683, 379595556, 331318565, 298261636, 419844821, 632229373, 186353687, 61969555, 35700984, 709192372, 443645976, 212005854, 435666616, 71371467, 597090820, 599043761, 365701165, 76614725, 529624623, 875546428, 633204518, 463785493, 235100547, 913535437, 121157369, 326249435, 457378619, 392009333, 881405508, 512033222, 541573674, 411389172, 111033103, 568033648, 135546543, 753494875, 362346880, 631372537, 383990903, 245792664, 556673021, 922450312, 792117178, 790231865, 493114913, 31718604, 85651179, 268759748, 239648044, 593030616, 830298563, 244754426, 631109101, 397216063, 64896776, 48760959, 239550911, 643525498, 47292571, 930386446, 656640743, 354112885, 99828003, 507327249, 831865333, 635655477, 585960508, 869365432, 15849435, 90255234, 399888327, 568108342, 549770633, 883937874, 478770524, 876586561, 213237848, 334869304, 525773424, 255227041, 375049744, 671586028, 100362885, 185916136, 994476550, 339595626, 700899131, 859804284, 524343004, 822349663, 759213601, 756901794, 111607908, 180801163, 355165655, 750314930, 557828276, 797896272, 369808155, 799170337, 902912131, 507294577, 279242753, 217696097, 439048676, 210351560, 640993739, 108409280, 884751268, 259241787, 497082039, 847427574, 488622848, 799326223, 774746729, 286907382, 839194872, 893523556, 68558333, 268040503, 345398771, 661143812, 481983019, 397598357, 14851905, 355984460, 777245739, 921121591, 577985740, 974383236, 881441670, 152720249, 708083188, 309248100, 313666447, 440322367, 465889527, 775512782, 169075792, 876180540, 820320285, 865008556, 924929810, 772013783, 649715678, 751577405, 155944303, 811114353, 320459190, 859098203, 267342918, 507370346, 419189773, 613287463, 501035965, 505344582, 530308775, 742656727, 287777102, 666375511, 347382105, 23619795, 368373197, 993802733, 826018715, 65570875, 985727416, 179391926, 599350221, 661732144, 674899949, 255738289, 134326644, 28233386, 383140068, 763428948, 523436104, 290337172, 331859719, 242761924, 815327029, 990712420, 288536865, 735168877, 724562935, 643366053, 613424758, 109468700, 205273889, 145547491, 41237257, 856039006, 698145743, 644570717, 162276548, 199244642, 280736094, 967846460, 64058055, 682364453, 950919946, 20757921, 760790909, 113613254, 569449431, 76500970, 675782708, 869827284, 812687712, 732203422, 759129752, 880702106, 877050919, 719465408, 712559585, 962860767, 423196149, 176520506, 810830294, 49355261, 77433615, 410630304, 465037790, 847434130, 147591492, 560644303, 370395701, 16763986, 819517872, 817295352, 953311248, 43939517, 649277166, 702455863, 76761818, 878595367, 716395107, 573124123, 503493125, 550559855, 60181377, 857416448, 573166242, 918201524, 447325883, 442424120, 858040618, 824822617, 736709316, 378247792, 331247023, 249333895, 348961621, 682840569, 34126502, 315700532, 72856849, 652810624, 662695314, 947654119, 892420703, 402734321, 973481297, 262645085, 901670079, 541369833, 781524862, 26287986, 847488235, 198506932, 756542168, 370540646, 90866626, 483428311, 755044935, 108660534, 670581529, 926586535, 253461644, 619838354, 722221975, 809142114, 710226723, 47801838, 48921733, 90289542, 585359222, 320841126, 959678946, 939928422, 415260132, 337139462, 778884017, 224999621, 5828161, 900130472, 747171630, 794726081, 378447249, 294773686, 512867789, 9273730, 450387647, 763864885, 80587959, 667725713, 822014127, 427072318, 863768187, 993261796, 679157876, 558856011, 224816823, 243350180, 412828452, 455492471, 806431699, 462747535, 38591367, 587570040, 825428805, 465856749, 459827856, 727915347, 87354187, 809716835, 25101241, 544602493, 318224914, 185851343, 882216779, 695197120, 388711205, 75664101, 677307818, 717934588, 542040860, 694102242, 825588608, 610350976, 167892085, 534065796, 408024754, 658132654, 369180727, 990904808, 334322104, 393648665, 774536392, 365547423, 662911796, 373977922, 238428683, 547340419, 787522244, 381847907, 148828060, 239365182, 900599044, 577241780, 666355672, 643514845, 104932402, 965227386, 627858291, 635100599, 710388632, 247094330, 144999007, 496165340, 75509098, 393807454, 489425162, 492335193, 373906443, 849679382, 978272287, 82736088, 697330226, 533745636, 624676015, 268060357, 259953855, 438424658, 21794482, 33054202, 861855384, 746464529, 396787019, 277967004, 827301024, 468583961, 817621180, 304518586, 584453155, 337661710, 70782571, 995277741, 844042172, 749043641, 177584711, 275638128, 820097884, 263141088, 963282371, 223003411, 460135221, 530262740, 729843152, 277998800, 441076884, 434746678, 627754166, 31746587, 355810291, 272881078, 238088808, 434244785, 440114008, 474891191, 278651577, 632522426, 90966191, 567574506, 835345810, 634067863, 89013316, 841054204, 300284974, 12610450, 54347857, 335295604, 955177984, 60477382, 738094173, 8511592, 267861202, 568977949, 782555886, 813391362, 622612687, 34989910, 900373451, 930477132, 744325536, 27312717, 110180198, 452631930, 625506622, 884880932, 669532860, 991636922, 864843772, 865989710, 302575388, 819427561, 39471331, 171181881, 963774660, 958808352, 559166975, 809704743, 406297510, 48113105, 10709460, 37010998, 808202679, 372122308, 18479159, 47009610, 414332774, 51326073, 484734100, 416589416, 805591882, 692526210, 813031245, 789646275, 892042591, 938671398, 732169101, 465388741, 543745275, 65133168, 62591848, 887854502, 965040958, 213207638, 659192885, 815769308, 643823515, 889420891, 138071985, 941365128, 176788381, 946379950, 16047902, 646476826, 379397383, 170442602, 771977719, 815374649, 323978153, 486775828, 760120380, 969888376, 771351304, 200034070, 975946002, 414607430, 696603478, 736815330, 631270672, 491285422, 672845324, 690727359, 575962458, 841257354, 938029154, 502302573, 47232312, 849863841, 97838212, 503280957, 836163247, 336434150, 670244886, 231896633, 930160990, 811628524, 455847351, 298023294, 310603334, 396591345, 114964124, 433665735, 191230677, 734323251, 825390858, 842163168, 635309758, 210995664, 171587067, 687015715, 111284748, 145450521, 395142051, 621308774, 934282032, 394444932, 947714979, 566851314, 331922541, 192902103, 35791284, 942480562, 722420988, 189556766, 132076627, 460104497, 774001110, 798699792, 346116223, 500916115, 475288466, 911097845, 406483956, 398658213, 940532410, 369806543, 607122474, 863056409, 776579987, 668633247, 173951958, 746416023, 852179098, 884037426, 41365597, 875984112, 981283089, 394440043, 110774421, 653138996, 915960716, 171668305, 29963977, 778895672, 869732510, 83802934, 457788176, 943793413, 278652132, 22547710, 632846888, 327104047, 61550435, 240639486, 809010043, 515833625, 219418196, 230817224, 661068976, 837693310, 105593796, 682402239, 252588509, 606700140, 450173431, 468254417, 478214465, 161762799, 333110613, 876218307, 640643801, 968597920, 492197706, 735661350, 960366346, 613691437, 228251188, 831508878, 117916025, 93533982, 890022696, 248091678, 488794655, 240425219, 229377606, 787858458, 337893355, 579380439, 135783476, 124602981, 378632906, 554130256, 306768669, 53783203, 248977175, 25765309, 273199936, 769878755, 381228679, 82585866, 13617401, 48870250, 623873106, 172152084, 794071683, 906878694, 596748018, 340145711, 51965141, 748805967, 29156173, 156147080, 466790759, 326076328, 750454984, 628749592, 805109512, 128600432, 87966224, 556839365, 714403006, 476090948, 325629474, 874923740, 754402904, 330451074, 840238478, 230906879, 121475924, 22965396, 318075684, 139188312, 134264620, 962145037, 810889333, 999664717, 495080238, 380901160, 14873888, 844091738, 12862184, 176619219, 358981385, 202898398, 314402497, 280053892, 918573112, 937847769, 146223422, 905932530, 254275309, 465507241, 583122162, 412243882, 535897676, 979382090, 188178283, 546805327, 980214939, 677814102, 805712305, 251127143, 873380065, 425051550, 929577324, 449732242, 414215658, 115044560, 209876386, 983409653, 157379717, 415835435, 182908938, 419398139, 171712634, 639996498, 779694343, 413640533, 719274956, 435572318, 916374460, 592004688, 746016066, 985593665, 183631920, 459183159, 684687028, 865211783, 363600925, 341962094, 437916009, 295570993, 926107576, 702417742, 332416185, 853882631, 696826478, 635460395, 919071685, 288646534, 579354045, 493160563, 703312815, 563978530, 362378436, 455059566, 302123239, 551908220, 581667454, 121575625, 677534337, 369133681, 97595996, 768201903, 400981769, 932529968, 677293794, 992633022, 650370266, 265148569, 859426669, 839354843, 307627803, 383460864, 195024268, 75746305, 788604383, 434760907, 209011696, 154469806, 288755805, 429675873, 590961118, 976458141, 517323041, 992718700, 252229161, 480217481, 22125964, 328789567, 611381297, 511464002, 450070164, 102743149, 84752319, 102244397, 909310761, 70008260, 726386628, 8930065, 809871151, 415585470, 934913727, 191958874, 323248104, 250978464, 828021491, 955543966, 806336125, 782671787, 814955936, 224400113, 740951951, 893960378, 963295724, 478265924, 187061102, 640161733, 516404532, 541058852, 107848943, 88114010, 903817202, 776233101, 99840255, 15608283, 823116246, 727334144, 776890412, 414235309, 284441588, 827200010, 8132541, 1889149, 313667458, 663189209, 731617268, 868620554, 553235324, 278789546, 104092994, 189171485, 992326918, 295901567, 979438423, 575050379, 253063158, 815363083, 123344178, 594457935, 914614830, 628643890, 968033151, 429977686, 575629983, 237016481, 420699111, 90897153, 989112663, 622833562, 497179019, 643348292, 802549704, 453581788, 189754165, 349378299, 571022588, 367795146, 599289419, 686045601, 580445975, 231810700, 67499522, 595151602, 833188096, 849750938, 298555496, 215346700, 761609014, 823593509, 705517136, 323903516, 527240214, 535306500, 580828105, 531704427, 168741436, 850727776, 331341569, 585529251, 170366334, 86885736, 673818317, 168381788, 652711355, 204457981, 520665726, 270132391, 766426995, 971752155, 507965075, 298505121, 690588185, 44893863, 932180021, 653891284, 369714035, 572055565, 345046505, 813294993, 788544867, 620600064, 733164805, 139100851, 966658376, 293486511, 525889037, 935850133, 299837452, 133328064, 38129194, 478473373, 35718017, 948656518, 650546962, 510618201, 440715660, 884081662, 315634878, 460559751, 366779061, 704891858, 794507884, 309268955, 509785984, 839508331, 348283666, 293135542, 604514839, 817973677, 714137296, 960947804, 46896418, 22815135, 614007247, 295215873, 6553938, 517592421, 542961791, 317706935, 845829861, 619555212, 464621881, 402428848, 69976301, 202046623, 564333294, 332875760, 14349164, 908217652, 114482922, 50644432, 218468915, 791072235, 448936181, 584102390, 174907776, 436932146, 194480567, 917050378, 134572969, 367556337, 244807059, 909384604, 368422838, 841274505, 702549276, 761429137, 215890965, 411155465, 721025600, 735862980, 770999425, 754033919, 870893538, 556338620, 278482083, 752619169, 444164650, 854908003, 598160708, 667743708, 729061515, 989516901, 825014768, 921826819, 799516822, 812762698, 214852986, 620461900, 869971667, 662550409, 577601286, 336553383, 839485361, 617432516, 827842993, 633417342, 354043727, 670684396, 63399594, 661221843, 175229187, 83227990, 650533811, 295058707, 796178499, 154628718, 873940848, 889669929, 772156321, 897849045, 31072958, 878202628, 350649092, 27219624, 181442155, 848564823, 489020160, 218236804, 883255437, 800860271, 525491312, 599127262, 902281259, 405505168, 42440692, 340349524, 601324565, 395325789, 68807301, 229902452, 872821805, 341466201, 16782445, 49039866, 960849375, 62863235, 591622128, 795029532, 739343348, 63929144, 276857275, 997366843, 83691421, 88778132, 941994078, 361866967, 423881130, 237844290, 678136033, 957956017, 611920934, 918376654, 904777732, 20643010, 701319938, 242547366, 614777907, 559886872, 381989125, 683007201, 54931969, 993550747, 625221727, 812857531, 83404540, 706248888, 760983237, 974612160, 500892444, 723762396, 393866907, 337348882, 955323514, 999887525, 140610140, 420939709, 801493926, 136797408, 547288414, 734862798, 985868293, 886074080, 86804592, 410548738, 792420786, 114031742, 719713081, 757688703, 475701821, 368000951, 581600583, 76427658, 955542578, 505260987, 572679556, 1880081, 955556056, 625376097, 357894472, 100083258, 361606809, 281049806, 385207071, 473386094, 485047466, 155065676, 458386627, 295315776, 230675754, 949889955, 76786339, 714091557, 851411350, 157778460, 246714929, 190238933, 705872446, 678418043, 875475253, 948466698, 841658047, 993921990, 143555326, 389150691, 332877812, 18852856, 412433860, 967299083, 44750778, 441158818, 682124971, 323863273, 411541626, 597871306, 149789263, 56592961, 457347271, 361838030, 597095221, 911072886, 943395909, 595285032, 15750916, 208770221, 379118132, 137618471, 326374187, 997899394, 247680269, 269959485, 787599564, 562933582, 959437074, 570072262, 716316951, 582905787, 260564454, 356738771, 233006062, 443432538, 555501732, 316270890, 458239566, 703141615, 352860678, 531494454, 694035889, 688264144, 707904865, 971067318, 506658965, 140225879, 563967039, 382010243, 27977662, 42080293, 46642449, 143270409, 494175467, 93526500, 662947735, 912026465, 807241989, 347369665, 642981916, 989785125, 652421633, 775846074, 865164585, 500349694, 104237840, 91353990, 36012196, 147126290, 65277588, 655913818, 350265093, 311685281, 585786496, 414146170, 963762506, 686782687, 870675617, 774684683, 217113329, 668055898, 567630772, 917569731, 93711244, 640135174, 978819037, 408094212, 426149422, 967013731, 740091464, 269010180, 938934236, 800711052, 315738085, 895349402, 575618809, 202123651, 810145307, 312032375, 613818651, 343931181, 399766007, 956253314, 187301877, 784577875, 570297697, 294458739, 188845270, 645898151, 741508067, 994600469, 21782098, 580005946, 980804918, 643865319, 801837394, 564809058, 81157706, 585254458, 459675257, 223000974, 742580424, 765034978, 744955354, 951826943, 749408749, 813941756, 191975918, 488962071, 8575810, 567578883, 678698983, 147537963, 145693312, 71319377, 100585756, 126139422, 150491861, 868090359, 281864217, 746107900, 704423641, 650130288, 721724918, 498108211, 259540353, 528022336, 22497318, 37906951, 778244897, 303663049, 898906997, 249538581, 563920856, 121627774, 476030136, 50148918, 618722700, 574042139, 389349113, 71006430, 116703301, 568998388, 884217382, 278715399, 932335224, 275233138, 852181515, 583431310, 602060669, 166493373, 277012698, 805021754, 721232478, 555316115, 813125580, 402050049, 217839946, 906029111, 415074046, 446585827, 586970903, 573219164, 661332828, 66525060, 687233014, 932110565, 438159, 572057460, 157768071, 715950248, 507845526, 627453463, 883032957, 504393184, 197050393, 891718758, 194165892, 432186948, 733280707, 404068614, 1709172, 860764399, 5148366, 724848856, 734607491, 677215036, 322677671, 143301455, 90068959, 641733304, 807403052, 398857762, 624219676, 796029024, 208134324, 582333135, 590090010, 896222722, 994323405, 275101997, 868055698, 199216492, 152714980, 944940648, 752500951, 176024901, 261127988, 361100049, 176721081, 344531376, 72866967, 59296316, 988325511, 91347430, 433535541, 869624796, 497005482, 62165488, 213090133, 127742951, 527632049, 50538673, 910700888, 649340341, 945618343, 525949178, 919305152, 551879330, 492339898, 368291375, 113453513, 629845817, 258737092, 72015780, 813048674, 384847827, 23396161, 985045371, 846730716, 377279147, 262696200, 290861828, 602716889, 604686755, 736329737, 717607998, 973522918, 281881968, 716734203, 105866459, 839198353, 81672533, 570282821, 805430656, 325037959, 14187227, 636356941, 939909676, 295049569, 438595025, 199027317, 126128725, 510159863, 312386971, 257783723, 33732381, 805850386, 573626254, 203776569, 909440655, 973242220, 870969879, 280282376, 576880465, 376119086, 607126586, 54262542, 785085271, 671710792, 308168229, 699380014, 626675748, 996569460, 893021990, 973709731, 493491601, 159451285, 162121314, 143065036, 464106217, 259770187, 959788837, 679426080, 788593101, 521865319, 462017685, 639349137, 644025213, 10841013, 925722184, 395650458, 107482552, 205016125, 973498906, 781451695, 165640182, 324843967, 924438777, 183684052, 587627572, 246648644, 576881121, 79248821, 192340389, 779505505, 737282734, 960934187, 181418593, 832800321, 391633124, 596178494, 309331068, 246865783, 932125576, 927623955, 667262585, 1935841, 456825319, 192409714, 110998672, 245940518, 443528644, 681480540, 598964852, 370996190, 272786700, 58925569, 688634194, 812216049, 532014023, 942529502, 240922132, 137107567, 173879911, 690740091, 145897827, 987647783, 435726355, 132149188, 804474410, 419656634, 898808858, 320209035, 821279425, 240594847, 444091537, 159295033, 350917217, 723692159, 918636128, 690419236, 353652549, 519620739, 807114831, 757392663, 196080064, 544606576, 126515777, 465990018, 304474011, 388560024, 553316265, 78027007, 459795656, 252604593, 569992563, 465238944, 853333860, 193158107, 212910653, 885692515, 504832220, 106743877, 889581021, 364480740, 3996190, 458682497, 376144421, 807686633, 469566097, 632641717, 590175602, 324135810, 121245160, 918570161, 229411798, 577782715, 983851497, 755405130, 630252776, 12762252, 390752330, 168384363, 812946448, 558129043, 622407966, 148773249, 69918728, 524456702, 146833132, 819322093, 170734357, 311386339, 390524893, 678097498, 859895242, 149416892, 36353569, 398487397, 636028455, 461815336, 784322596, 613049692, 727065957, 62155657, 871366035, 580729855, 221007468, 376468400, 828508807, 30924235, 251558176, 731288469, 694781288, 73575474, 193301905, 598982886, 565993529, 318918372, 486052832, 135326268, 633413403, 814663261, 230272333, 920355688, 460187934, 185961359, 321577692, 21440156, 111500140, 37925321, 781545171, 576631925, 109973668, 536320995, 22991234, 777735744, 503260722, 362489484, 129486993, 438981907, 493588937, 628752524, 243774361, 62233331, 957934411, 178400013, 997910131, 924233089, 6483827, 387132442, 706170500, 296965348, 941686106, 774729626, 505767628, 672896118, 537684855, 512534858, 258578604, 538505609, 906187124, 218675954, 575185832, 756832772, 671679194, 285244713, 416762208, 742588745, 707485219, 410995085, 16294995, 639014325, 709768977, 987952736, 30573038, 691502938, 232605205, 648337369, 128192503, 929754459, 74437226, 316256119, 252282840, 659007314, 752308051, 941171282, 253174528, 464557180, 274505891, 345749670, 290786504, 651057404, 651129293, 84456330, 606604760, 44245741, 83004648, 149714901, 212252324, 23778305, 431830116, 91657540, 946206470, 954467713, 873042990, 715112730, 759646576, 841550970, 809286308, 228681604, 275804629, 478733442, 735192797, 657912376, 319694632, 225719301, 792653703, 638504206, 14297761, 793634122, 999856267, 7295995, 806441945, 752093076, 336579929, 688390144, 418641422, 722039112, 801301997, 971963094, 414506591, 521653166, 184661365, 154274462, 143616134, 116437389, 649754795, 355110959, 2336542, 512729787, 530223661, 536755995, 773648073, 463228243, 626516806, 717320137, 787020568, 389407301, 444480506, 814241993, 987824013, 854698579, 760319849, 831379428, 515023388, 426910952, 277410256, 386639791, 61762587, 861858869, 980406759, 807273305, 694295377, 744678716, 636884098, 684485816, 578253501, 161734734, 237612955, 256495268, 310007263, 762669279, 31158012, 974624785, 20335412, 526839655, 73937357, 177108889, 287756333, 793705499, 597664209, 691673205, 197594617, 462833046, 320413248, 340360621, 230961078, 464616329, 766510947, 769414221, 569201388, 736161203, 900139588, 958139010, 888177993, 525240454, 229181186, 592276588, 363943864, 316162159, 683931078, 346002519, 370905085, 199950519, 944452918, 786885740, 415684506, 145763796, 191112048, 676409251, 337693099, 283690484, 16860168, 608170365, 985843515, 485053591, 148815573, 644965945, 512367112, 620707801, 593330275, 146627513, 134444288, 686678858, 62044510, 666205908, 958236429, 41813797, 492003065, 424357713, 906671434, 746858007, 55437609, 445560292, 709702398, 74662063, 191868486, 889088930, 545752488, 506046187, 669999823, 202678655, 57770031, 730789328, 723877858, 237151232, 537466581, 14890076, 913492945, 526567672, 978781191, 28731026, 256739534, 832077002, 706988456, 654643834, 124196213, 617960730, 783859637, 925202917, 259631387, 866529567, 736091111, 185807404, 485144014, 58240898, 521997172, 96345976, 875687815, 452905811, 692339728, 1771392, 306519447, 273341419, 874438585, 471810764, 537304038, 266473462, 585984650, 613506419, 512757869, 241809614, 421696409, 324906227, 587524199, 141781920, 160374296, 160160619, 308425831, 26382883, 602287959, 235907456, 868698634, 127562550, 168180296, 390659128, 155719244, 225084612, 543438055, 767575402, 604074972, 216167916, 942169591, 174410045, 61258936, 687834747, 303028272, 671719175, 281520829, 535122722, 418069513, 467795411, 836074608, 932508796, 614831178, 638773558, 895154567, 298796357, 622102451, 88026062, 64351753, 571786206, 368723945, 749972366, 804193204, 33913062, 513492667, 653923765, 793019029, 680271540, 84130108, 187814673, 345529235, 486224776, 68731105, 534140844, 93253577, 350076926, 837609825, 594168797, 355100458, 330673214, 568533015, 297150888, 908244979, 285042117, 848918537, 190453671, 350886286, 136752253, 727367905, 848029823, 634862148, 892317080, 464019027, 500164973, 834681333, 732794144, 763293064, 722790909, 59178612, 165797595, 408452116, 130127591, 200712973, 642207046, 872838913, 494083354, 776866346, 181431839, 617175622, 400063647, 968376480, 509540086, 83677139, 458022179, 484906370, 653969303, 914071878, 133779426, 908347670, 157763730, 336848052, 118493809, 769251885, 712149232, 730857150, 390060997, 414844005, 897182622, 509721337, 378800592, 500861772, 438177011, 46143200, 925185854, 649832118, 248885133, 159952500, 737986818, 594191365, 505426825, 898318960, 536327995, 789402176, 581792550, 332124362, 613778045, 266511109, 412227397, 601296740, 589656655, 219824325, 240955817, 991811079, 566556091, 448157401, 254373426, 959457873, 524632311, 325831673, 346989868, 488127763, 976362851, 441426880, 373684292, 517657835, 697642739, 376149252, 664769264, 213623883, 883137710, 552871739, 586310270, 565728301, 805888194, 538524453, 888855094, 788923625, 250342251, 15554433, 465127779, 871284977, 480705394, 842158178, 671177222, 516751731, 373904364, 311402506, 780863322, 458951854, 971987421, 453400163, 146258295, 254512205, 370801995, 755632722, 755268142, 774311182, 566118035, 519831301, 822280599, 75265589, 845306049, 255676800, 556185937, 612223842, 588132955, 690155632, 150153575, 27365200, 315501983, 725494863, 59688761, 600731531, 692738880, 802134567, 391695295, 172204672, 475920284, 827798885, 409626969, 715158804, 149377727, 331701974, 597707005, 5247636, 702756760, 519366914, 668375974, 182611525, 948871606, 976018906, 967624984, 689576711, 457036964, 89951903, 823169773, 132151349, 743808207, 191836130, 532602795, 90224748, 599485015, 124676649, 278875244, 599353127, 870196732, 908953516, 202409704, 312286198, 420904776, 359559687, 205815286, 444560053, 549239063, 147397210, 17841422, 218889978, 842416015, 497001114, 723684238, 95982422, 8354017, 514857908, 636479688, 612469165, 692897717, 365339805, 360766864, 267620755, 734619844, 735559411, 410579136, 249729923, 175592664, 889901648, 472999620, 851916723, 721417037, 389429806, 54701227, 829194423, 742634766, 612228605, 298022503, 634934126, 582026413, 234059157, 49143156, 454945832, 382010785, 429387857, 230909354, 655987640, 327249246, 540871731, 985921911, 253140794, 920993632, 613281847, 576507344, 352689696, 160461992, 889968354, 487757697, 612247143, 390425795, 641629984, 600053079, 673930306, 410703647, 788728718, 524537597, 247649967, 707337496, 174862991, 263042568, 877392734, 921069759, 529346212, 798915350, 905481733, 332237332, 41367280, 734154323, 788562583, 416605508, 589307751, 661464935, 890557166, 4511581, 182285219, 411477560, 464238404, 375885763, 710261732, 438379274, 213379163, 840697802, 298464897, 583244265, 856923728, 607586512, 203371691, 63326311, 314013626, 868707774, 952768120, 381495488, 227485859, 753066815, 877136745, 24527367, 310793455, 156643423, 81496687, 771116326, 492208002, 513928635, 364780306, 798371846, 366701245, 539502986, 324952141, 194318502, 810024194, 394688006, 862002165, 791724752, 488094998, 4829209, 887703245, 134001726, 213105485, 304472952, 365448652, 821397809, 243153278, 890320934, 719790091, 295124973, 348698912, 97616234, 830926388, 870288045, 601695075, 944298204, 2838524, 58908133, 306986918, 996958935, 265965394, 835917535, 87053197, 360689714, 873550770, 98244563, 981073979, 701178289, 775269899, 461170862, 776601819, 836875644, 84501465, 719309232, 332997101, 611187862, 137713876, 206373938, 850807769, 178821812, 264356103, 98756345, 131557329, 433256711, 312645399, 80722125, 279563077, 576283301, 618776306, 648932114, 183614756, 571400002, 322743438, 402602329, 502626556, 86139102, 16161485, 133570512, 855547929, 631143158, 725692022, 212656733, 739997988, 875671298, 961845591, 906236791, 97475956, 519962358, 221492850, 39077844, 119927089, 484980968, 880102060, 526694905, 127415747, 897990930, 501479682, 27108898, 207915205, 282188993, 846864650, 445028351, 377473055, 891656144, 468587632, 817853499, 964649186, 83106895, 610305391, 71153501, 922296616, 631101094, 651190324, 190683674, 995320864, 739628743, 705201714, 379940709, 92103366, 360756610, 417820404, 516340298, 812084621, 450320941, 958094100, 426293261, 989640267, 518635420, 344699896, 217447693, 364745159, 823806256, 514192650, 599952515, 179181541, 839878930, 189673100, 10138778, 464349919, 238118280, 544098974, 161076383, 608530744, 988766717, 787230487, 187568018, 788824346, 592357387, 870697567, 326890649, 203257174, 840256502, 420949778, 65366324, 18726784, 538326910, 127679756, 121538426, 676906267, 152545856, 730434149, 673412366, 229439742, 340784897, 836369040, 444345334, 414677870, 561864495, 750548128, 45609383, 41785322, 937259288, 844234060, 55150590, 334392896, 730783083, 295413139, 102335884, 207855526, 264925758, 649663928, 479669231, 518615215, 176023566, 402360127, 548716438, 419252197, 127926036, 725260335, 860197855, 382857026, 19639238, 875856319, 930779118, 556414216, 294932608, 767699470, 715449833, 947883629, 779601017, 980240690, 655549797, 204653543, 584282038, 100641757, 173763809, 715456322, 397364756, 184826948, 285014919, 193382889, 857400879, 403905887, 652621619, 933204725, 497984193, 375444510, 773673722, 571061782, 639583485, 81699934, 95135494, 535660654, 867799407, 899579264, 277731882, 891329600, 932191948, 78492934, 845151810, 155779450, 196877912, 724512259, 832356582, 738508195, 277214997, 64245370, 183583929, 33876711, 587429397, 821827741, 459688744, 536406323, 281989382, 26579463, 902706730, 767072482, 163220933, 366291606, 77350376, 371376936, 684407032, 92393654, 882910882, 959733119, 964108314, 129151454, 120526849, 864344647, 597559025, 2325089, 528440978, 405090366, 698506819, 508913741, 880615144, 560685357, 447772076, 841567562, 528725059, 865560795, 359553110, 56021873, 225357088, 140291257, 66847947, 582490779, 63002829, 271735944, 514623948, 519994549, 894584907, 231692245, 518207131, 889452865, 148612524, 856397488, 556795537, 973110387, 270452570, 27763201, 918759212, 485407663, 537493362, 920441521, 927490951, 371545223, 840692055, 492771006, 803319982, 161983317, 571360634, 673468603, 736500827, 19252079, 99448104, 855213456, 684564928, 208908833, 169054256, 309713554, 936524882, 936306717, 173402544, 802764769, 684710843, 55940702, 990981232, 14743186, 23804486, 499858268, 57658474, 333827928, 557042438, 957177321, 765709101, 64625784, 847048000, 816237086, 302287655, 885824095, 896512056, 323788104, 36801912, 365999286, 745809261, 295286055, 371469877, 655138859, 181136929, 410408326, 754072177, 892759739, 9258495, 507025679, 729219919, 238162985, 974515700, 636349799, 36516011, 35342115, 500263894, 461161449, 139617791, 998678857, 337309190, 337207014, 8936616, 251149063, 442499058, 441474055, 85232778, 820300485, 729749047, 94376453, 125392103, 425927842, 93901954, 176269209, 415651264, 250430247, 122995152, 327453157, 252353904, 717465821, 627284531, 878329112, 83803592, 94168037, 938606031, 353051810, 543473928, 725664113, 205119137, 461206966, 456061460, 375712170, 670920333, 403768884, 608547114, 467454605, 113911885, 647829358, 69553203, 399929076, 977306098, 879676986, 29663927, 880786007, 713338776, 129252590, 2343793, 138156540, 521683851, 489163101, 894693981, 535880491, 429176001, 864551759, 559788534, 256521528, 972789700, 981526272, 667176545, 499093633, 130483252, 610365345, 666603083, 884360963, 673800212, 653891098, 435858848, 214693735, 249857604, 41880834, 854961773, 425792374, 263744462, 69883056, 864997978, 235915575, 874596987, 549091674, 73304342, 480723689, 934868056, 700955024, 842975461, 656222499, 489448846, 651538463, 610823701, 111129487, 930800426, 690327670, 471745287, 787206015, 171428460, 276035870, 823029622, 309923914, 910562892, 214198661, 194327125, 395743316, 294379922, 520906223, 41032589, 98218936, 183741072, 692202828, 404112154, 361639487, 919320628, 402439405, 440721501, 903573892, 998817898, 931605854, 583214122, 235966550, 703982598, 692249827, 451466118, 19361831, 423975098, 244150373, 898341039, 225080841, 443372008, 5717787, 39866530, 805269137, 445693501, 379876676, 919449617, 992499986, 173441897, 903387139, 839815970, 714931906, 928994965, 72628924, 640827115, 402479941, 260679674, 45393352, 724852247, 373421945, 895245659, 668790237, 476946160, 576595537, 618347943, 51402887, 223027424, 821775490, 618786999, 39343872, 388046565, 587697251, 82791816, 226139118, 710467798, 720339492, 72871237, 256676182, 923763350, 970788003, 593769184, 619722326, 85928439, 986679131, 343631991, 523991643, 282431765, 491777352, 856026124, 689182188, 712075240, 909245841, 407715189, 543192090, 195174081, 358921289, 256344001, 848282376, 704523246, 839970445, 435693776, 131523028, 47099300, 377334804, 13188979, 374952454, 696557433, 660665833, 810875565, 706024573, 125603141, 260320524, 456905514, 649860205, 63730584, 499317530, 579584292, 310610305, 675344924, 29875350, 518513977, 489775140, 343736924, 398112995, 417612318, 670960891, 352924219, 536346597, 723176813, 581803731, 95290714, 443898974, 932443991, 606593824, 589070057, 12883098, 9997912, 969976834, 591834126, 539952778, 635371460, 552595130, 938250591, 157858650, 877926464, 704961236, 600713088, 249359122, 347269494, 357328560, 630070548, 585674060, 93181009, 305052703, 480386090, 312226164, 150983080, 213256738, 663406884, 13250122, 748409109, 223313651, 835224313, 509733495, 533432454, 904453904, 287208613, 652021505, 127689201, 902488867, 796208028, 901661034, 451022754, 640528916, 869093012, 677023367, 376311315, 289612822, 699644561, 587632458, 880794543, 570372608, 842345585, 433269712, 75391473, 154370509, 977954268, 259749715, 329605221, 54975581, 979949685, 962681629, 722931629, 698990709, 659803294, 410876451, 236991610, 286108964, 988015968, 579263550, 600198469, 352233925, 619791351, 809497313, 723268530, 667205986, 505574561, 422395968, 473678343, 2618772, 111496407, 898333899, 938645154, 722728083, 88617753, 358866608, 174356375, 523359374, 682314968, 812736650, 382136656, 835251463, 372185700, 227853714, 193053339, 515934976, 69732367, 301617296, 572385545, 401575989, 2294265, 737486292, 484491830, 521036527, 675304381, 194831501, 789263412, 980776379, 543505264, 45653299, 43221231, 883169955, 257091989, 437069085, 199850079, 299883122, 797538256, 467792138, 784867678, 147675644, 785384443, 464295015, 199682165, 633667362, 343256494, 614996900, 280929975, 15374265, 234180959, 25826286, 931991764, 167762382, 125432545, 11774318, 28678928, 499801697, 696729529, 488378104, 377646822, 920229100, 493676124, 145930727, 59744823, 25680677, 589888452, 941909058, 702354002, 751192963, 333310023, 182429621, 628187958, 859119678, 505230968, 846124106, 353936886, 491249947, 957435506, 588876526, 667459739, 591531018, 267981804, 343333736, 165479920, 407877715, 186522456, 71424610, 91082199, 523475223, 53552718, 987493791, 963597440, 272883182, 596316037, 492564680, 377361455, 414810695, 120499637, 368428653, 274628184, 903046512, 939827633, 480244893, 485553539, 226059972, 856839041, 898484587, 417769184, 403015253, 639510471, 929781597, 279343597, 454239802, 34193364, 656888393, 747013666, 616862193, 437037838, 890894003, 532525378, 664154629, 577923877, 419814478, 460412966, 50482910, 788237267, 623021749, 947030299, 647476819, 631529780, 998457045, 408196886, 268030138, 361271589, 493554433, 614985282, 523526624, 462388192, 129378932, 474571093, 857194926, 491031489, 88463643, 265098533, 398063521, 820656776, 656929649, 934100143, 368835966, 76954013, 33172832, 551620180, 964383603, 37702960, 841047411, 369298375, 540732811, 740530804, 115727540, 12327410, 299629090, 773659246, 565366036, 472233273, 91439131, 398255646, 43896713, 610213457, 408336739, 729630941, 870984049, 225483882, 54879221, 990417587, 418900776, 509723392, 874825167, 255673019, 699923303, 272163674, 137291683, 349913071, 401314692, 918689511, 117584311, 774644802, 52151368, 149929074, 836382182, 773104296, 359290595, 154807351, 853818189, 818155449, 725696057, 806808547, 85945075, 875941350, 158961379, 514890991, 895525926, 370265061, 176998479, 544075736, 111063243, 539296455, 847064143, 88924344, 903309550, 983886064, 195376541, 870208097, 507882215, 316430623, 289903141, 360920837, 99702958, 917989972, 732627418, 45131458, 948231811, 5975589, 173553600, 863841788, 110706355, 738997573, 841172935, 646643952, 592630171, 674650275, 707426910, 85498765, 328506812, 118948212, 302273152, 183490299, 131892184, 709081640, 419045924, 517387527, 378972783, 554795530, 777033878, 754143677, 900681105, 878510993, 914745977, 631747687, 293558810, 643135792, 357053313, 437417920, 841448495, 176404081, 782623794, 435765034, 864437660, 393195282, 777840052, 409701319, 352483832, 191536007, 928607057, 722899634, 967398698, 389661321, 322474973, 572496365, 825155445, 393953075, 443164399, 305530363, 24116117, 531897807, 764128421, 112995744, 406325075, 366697522, 656883410, 222505706, 12746672, 811279362, 107789942, 919028444, 921356861, 820556442, 331299560, 912525664, 397625803, 266038982, 788212719, 615873799, 895263325, 822569978, 358086679, 13411423, 130502809, 27457381, 39097756, 319480702, 369667693, 877074578, 643764663, 382810554, 992698853, 165459882, 539555009, 53617565, 144150991, 132360266, 408902805, 161698726, 452353756, 954747322, 744617304, 415137447, 967001135, 802788613, 585703216, 456015463, 632028539, 723677219, 387568939, 698159824, 532824282, 549871874, 863561420, 975780517, 710295000, 991273443, 263575879, 438662587, 982524373, 489304339, 164614518, 846473896, 828987125, 958767933, 311895492, 947383090, 755311456, 913901135, 537617157, 878926387, 579189548, 638890658, 678458501, 475778263, 819525620, 139408182, 631024563, 743452645, 741731520, 836189391, 970134383, 638896719, 904460586, 483340371, 141999462, 579040050, 380253728, 994590094, 572999102, 968908980, 843589653, 314704300, 338509050, 970247105, 181392165, 178208966, 65969920, 672350878, 819581416, 970697566, 33322247, 987200701, 845302361, 427035892, 850160640, 438216972, 640602603, 469087482, 949489800, 701264781, 627859430, 981034739, 492623530, 267133738, 827046430, 694562924, 512154082, 307020553, 572792806, 815181985, 737203185, 75970187, 76010293, 197304969, 209683904, 229395786, 938843866, 76795716, 332628395, 672580662, 943962119, 307747611, 648862489, 780140679, 546482706, 672114176, 906295356, 438197194, 449173706, 321801242, 874026543, 390491358, 837540119, 342558211, 268449283, 507042684, 202693938, 9066281, 423770205, 630239056, 515651442, 539679236, 74677779, 807455026, 133847856, 883759264, 378729053, 376956352, 232514674, 403657262, 667288456, 695631944, 833839000, 386125524, 851991705, 971733644, 373235409, 824815027, 21059224, 794462101, 763016785, 873863147, 89004160, 212134658, 727190646, 428467583, 537491449, 151071070, 721769905, 912434426, 674706931, 5692172, 890289559, 878762416, 957871034, 772379641, 205635005, 115562386, 283557485, 711504519, 89278997, 839968171, 154147873, 371418567, 663380923, 728219480, 681110338, 166071219, 443162123, 846684542, 719713404, 868930306, 181321494, 87333910, 993023640, 689177814, 164849761, 229447487, 553040685, 565469089, 503250571, 128317815, 767962413, 258010480, 974352974, 154778476, 135951485, 816950094, 678714207, 351835075, 520953896, 624087702, 657801304, 912974940, 251339188, 986631943, 812158992, 13740311, 657019699, 618360959, 867356827, 601661946, 793594330, 178428992, 161998299, 216406065, 694923333, 49438865, 990291935, 509148138, 115844003, 630127421, 532492345, 846714384, 447651101, 496811116, 478033995, 949151567, 250091934, 540915063, 719603462, 606028696, 773167810, 413016499, 131067940, 906662044, 784437211, 165972551, 126498026, 730138771, 8261135, 76089380, 486299236, 354532166, 16037735, 697192029, 816757803, 960099152, 29901659, 575118012, 253060884, 919012580, 594436573, 829251935, 469035056, 161293866, 657450636, 430913806, 314293731, 150289542, 795576845, 758006778, 68003623, 917745020, 256918708, 563424214, 231468468, 469380715, 716292121, 357221791, 646402652, 994121168, 518546581, 221475260, 562775621, 32522520, 291304291, 996021564, 799234554, 268958415, 724125817, 900231164, 419941101, 587466772, 207863204, 4128356, 105052830, 234036726, 857751928, 330046185, 46756661, 497660006, 564196851, 433798804, 111388607, 110001759, 131505138, 241189800, 792076622, 118264502, 474528676, 968444727, 796218661, 442775428, 367799575, 400414636, 738256013, 399032936, 95880832, 58834186, 786452165, 740152682, 620169133, 524667053, 692584535, 981692229, 552088608, 888414738, 581395061, 466449417, 514611425, 687208699, 286283603, 596207508, 916187857, 408926108, 919261489, 315351705, 378855918, 410222324, 830369205, 323173341, 95585561, 855297490, 87701193, 765842198, 442402948, 621082904, 277240910, 711792064, 3947785, 133423134, 891366793, 133213052, 363043444, 93640413, 246125464, 723251303, 779008026, 245419594, 669433851, 917670855, 917469074, 672277988, 657711858, 384787816, 45660429, 17553455, 744956052, 957045787, 466676967, 683205679, 721947801, 683828822, 291840346, 612378543, 933404052, 345402397, 888145868, 714861998, 257118267, 275470006, 587584486, 190470237, 223642626, 900717637, 564767362, 494575592, 131163760, 925601722, 413268683, 292586476, 56394416, 833073186, 305069260, 468404833, 141427710, 275945289, 307696055, 710659153, 997408465, 487050908, 629294772, 795656416, 481782322, 430654987, 141327789, 198114839, 315952264, 376806055, 198364674, 87510827, 844247625, 999893816, 693858280, 266405016, 685056097, 476398661, 8403550, 792612318, 328854920, 50520483, 605401824, 333059196, 331690885, 468653162, 275396323, 353499338, 987339763, 786571483, 804576794, 518915749, 731370244, 92333643, 73645554, 196114684, 190498456, 11152309, 223563610, 964940860, 359892050, 249351704, 540021460, 164120359, 541535035, 202506563, 503025927, 230913366, 161234535, 698676317, 898735814, 128898853, 945146739, 296937014, 136930700, 516316283, 750501850, 739440115, 92385198, 816790890, 37359368, 57357961, 560142102, 682311707, 71767951, 770786303, 131478374, 666312391, 197399420, 508129834, 265021213, 265929477, 158476067, 965848737, 852982880, 24346489, 83835622, 702431000, 140731154, 728583433, 848122024, 42822975, 236412835, 127589923, 986462906, 871669998, 512076163, 420378621, 19318063, 776338151, 42932228, 561058723, 458785974, 892617809, 940989152, 159518319, 55441098, 728881507, 609897929, 601220660, 801604467, 980120705, 187654980, 409735043, 895327450, 362473826, 144610335, 191151840, 542034392, 281475527, 443127209, 25313581, 403591852, 4998600, 814473319, 474361403, 279186513, 246058333, 414366938, 761160369, 296333322, 247678578, 899908528, 68397979, 672693834, 525211449, 972832784, 73369804, 199525754, 192903441, 943880814, 3032743, 467352031, 746959959, 982237962, 163736345, 337743714, 1575345, 401865441, 798692489, 585210627, 981885409, 13703448, 483040832, 380022861, 930648367, 933247249, 811697070, 769366818, 925095141, 850881699, 33998833, 812504313, 434515516, 525952801, 61162688, 441886866, 848854240, 509380772, 918428943, 796673875, 184843378, 96189754, 857034956, 812366312, 702078460, 541579421, 61493883, 768560206, 822813381, 980900947, 115721082, 718863257, 684632622, 713181074, 588602398, 766105878, 700167421, 452809580, 868953833, 169029859, 836457760, 504111812, 95872149, 128434321, 63817115, 545521463, 718927862, 806622202, 277268344, 241415758, 252780424, 48142844, 936865670, 724512127, 291572774, 162145195, 273765227, 841889579, 185560948, 440113137, 230616149, 841264995, 288075310, 578013418, 758441329, 519454302, 436987240, 844836295, 264832209, 812985390, 846292806, 394518142, 348973247, 360104409, 669536055, 876096774, 932465938, 74700793, 134930439, 577139781, 988588106, 241622432, 506697348, 969164017, 28924576, 917701625, 919509033, 174785391, 207975062, 966774708, 49451431, 533874769, 336018906, 63335597, 220692475, 10277779, 137704696, 841398327, 812332744, 2538307, 139396617, 66321398, 432815322, 213707353, 77348425, 368421590, 283531904, 352111639, 647111252, 298558675, 16597579, 624534301, 62344657, 530099869, 308384456, 680761246, 98552510, 394338147, 460740897, 897714941, 225337029, 587035696, 560083095, 850421309, 945666927, 859244528, 94749904, 885934563, 529561981, 819095083, 37138274, 329751971, 970915640, 877093036, 229827899, 29349447, 865461062, 5562048, 870847215, 267797325, 655465315, 163008749, 731796265, 146444274, 89321290, 366922142, 316578891, 252251936, 788410748, 667729832, 200799669, 305178243, 489280635, 223020463, 555711042, 725620931, 630678766, 194952975, 371882761, 325822875, 164835306, 321365624, 4696613, 47055443, 553843452, 322696408, 798886301, 982848001, 230399098, 869603347, 938614479, 766435168, 783909785, 299014480, 147432547, 958890122, 667353842, 520093357, 844795961, 478730112, 881366995, 213029755, 362071249, 940396157, 659528386, 49537646, 750106248, 379073144, 551518420, 838561140, 780696686, 201860695, 498573007, 886171087, 89882792, 669439041, 889852666, 340082834, 561315536, 100307817, 863181298, 707025911, 673846944, 168309030, 771453180, 9133166, 978142315, 683981551, 874483875, 441721334, 479337942, 571889810, 693971431, 491142174, 84523777, 995195076, 893856479, 742879722, 945974800, 335422033, 516359552, 570553441, 934136296, 709754778, 534888962, 981468002, 324695348, 547216780, 87385342, 269323421, 516482251, 247996726, 747341886, 647086344, 756219876, 674793002, 567216641, 488524473, 999455875, 664626322, 481454134, 253835163, 347484149, 980783510, 431595097, 44241714, 159681053, 369801472, 63065345, 547143090, 392152911, 245741074, 464638167, 652936042, 469475983, 153851556, 788437707, 26183251, 738119285, 829186848, 362396552, 807606498, 408332541, 104717376, 10126100, 371423684, 114925605, 737142129, 681808245, 547890635, 748982901, 829944870, 60685221, 766388111, 289945203, 4905966, 912738308, 678008996, 98598288, 82083476, 535092435, 845483854, 439507678, 566148456, 112834742, 430087177, 471268101, 383543732, 290781562, 889258925, 846628335, 547651327, 396046703, 485092737, 634687725, 671497720, 849587886, 121640019, 102890954, 974236192, 27817075, 862694814, 79852123, 385794647, 333432372, 135888585, 879056425, 566937903, 355939601, 784838386, 515733474, 619274434, 248135564, 280614798, 888286016, 409042012, 740765221, 946255696, 831015025, 942790425, 4620438, 129804195, 697878431, 698101266, 415004912, 124512864, 648271875, 290321858, 494280647, 269916465, 186523315, 692153961, 866044259, 456565545, 867703162, 903711912, 693683649, 887798699, 374794141, 961439707, 987572024, 324103, 469579076, 208694146, 699096753, 475012066, 928100761, 440834117, 834654794, 269716503, 639695861, 796648501, 532009533, 278773625, 372722949, 129440253, 856487985, 1904118, 19499975, 50849331, 200602327, 914201026, 843431277, 4422622, 627598265, 885563942, 630305235, 319966781, 311584711, 293493198, 345009835, 928911903, 243394949, 195544504, 536169822, 593715124, 57769865, 970039359, 871459038, 220620954, 844684604, 137858476, 184583026, 71890200, 268671105, 443022747, 786649143, 90751148, 915044461, 520736457, 596810973, 103321764, 777446607, 267764825, 165915815, 972010221, 587145602, 679254225, 687126563, 935117418, 631456730, 592466370, 671178158, 156493515, 826803522, 664970071, 995696784, 645118596, 375029570, 52841348, 277758920, 984226480, 125674742, 732163821, 680701020, 918195239, 33051804, 361506341, 580325942, 557075056, 269628418, 707226206, 616211791, 77735845, 219921236, 247037390, 453772529, 255134613, 104632581, 674872186, 259492533, 674000299, 7063990, 101256548, 435865749, 896524302, 550873563, 50026765, 746590892, 571272371, 134361171, 731122020, 506824308, 160421953, 290547488, 491553619, 446368077, 541515801, 664744807, 959286155, 673516598, 376088256, 656047823, 486260335, 381963470, 830401065, 577180301, 770581081, 21677998, 274390091, 943037993, 433444622, 152644915, 78778498, 263270046, 711652546, 814903530, 815193959, 631145673, 489286607, 758402103, 162194413, 996080405, 44179469, 863623448, 778649769, 947265028, 773903368, 326770950, 648170896, 692720037, 412530596, 889138348, 961340348, 74072619, 78201465, 133734761, 151339974, 799578501, 681139946, 529721677, 845926684, 884311353, 973259070, 357603567, 366256590, 555471590, 684565719, 836737538, 929858618, 537530198, 353542685, 330278017, 79967226, 565347351, 918332528, 988720613, 176507082, 395429302, 287483779, 495252357, 608236651, 727604882, 294500618, 699659325, 855392600, 577649118, 612447287, 476219667, 991373902, 812162823, 453589620, 239419779, 897971518, 483495950, 938617313, 485461633, 205797988, 102827077, 709944140, 97960623, 673633091, 266070189, 547962296, 568435826, 443094678, 184669243, 125913964, 464358971, 352923333, 902505092, 941206942, 869051165, 246348126, 372691047, 802470916, 325585291, 701296239, 352652075, 236245547, 903302297, 31989297, 45749676, 720269239, 637031435, 145373404, 217215200, 723787358, 244199174, 260335747, 740128985, 879242821, 70294168, 821334495, 479230240, 930383370, 70817972, 200546940, 619930199, 489087810, 54349688, 139088378, 563247699, 263066024, 743094435, 370932430, 447504066, 153844238, 638488801, 601985491, 453636076, 499313842, 34760929, 9485195, 243162735, 778652543, 715967737, 714965281, 489122109, 188559721, 637660068, 238628709, 271235655, 942971853, 947652994, 999410192, 540414868, 626107828, 226048171, 182367621, 104517092, 611980698, 709709167, 684769299, 954232006, 653948574, 486955208, 681747572, 496570812, 659043641, 825267398, 83372392, 371922306, 79585534, 861097570, 70930214, 523036654, 14823773, 792703220, 509376247, 453620331, 911252367, 655600430, 893445629, 599287572, 659818844, 204428856, 843758251, 473863005, 735866181, 636465606, 933822225, 811334133, 27901594, 66485855, 977481244, 652946394, 730819628, 935053353, 199370286, 293573328, 459524247, 482492634, 291551448, 402902043, 948297237, 349971513, 782899633, 701584495, 327068310, 786716092, 289467382, 526340015, 914305513, 894130414, 268685684, 135873222, 854887437, 354118229, 990617597, 674850424, 592523892, 158508561, 705495007, 521342146, 673270692, 211190367, 870459775, 440193048, 99972808, 508863118, 206205938, 378875840, 310029102, 986611476, 656467878, 354980920, 889649754, 983443023, 651067233, 619042050, 13242676, 178356902, 661629994, 825710339, 139529742, 959638333, 85354561, 321537511, 767570911, 804976772, 672881542, 889104338, 595656976, 401613620, 390669817, 881343300, 382620817, 699897178, 562805837, 983615912, 879676898, 706659868, 375778604, 324491915, 715017660, 122427005, 625820835, 236527259, 660194331, 38856314, 996199754, 743886795, 407452556, 996510941, 109479318, 785138777, 245336509, 526305054, 523556764, 52747388, 928147564, 36156849, 280019977, 506076456, 876409002, 214872899, 841307054, 389393672, 307670226, 374083815, 483879524, 942380015, 360287770, 411166558, 552532444, 20362631, 763842364, 629270137, 642602782, 628232986, 687042667, 182317496, 500976760, 588810855, 721686709, 941437960, 280577135, 508451954, 409772085, 548620504, 291083189, 740035663, 912091655, 936515601, 162048973, 83015523, 408447938, 576831116, 889297826, 220772000, 675569001, 502102036, 479374478, 202654480, 187374782, 513094434, 203368758, 895059619, 768584939, 628030998, 933676235, 47381206, 487083888, 378386982, 495332950, 640577408, 630137005, 689021145, 325689118, 237560173, 671836236, 265247132, 90181613, 33484661, 574700895, 313854348, 660264463, 209792787, 333717051, 812928064, 934427838, 618482205, 577300073, 522770707, 438756281, 171711171, 351665106, 525416930, 97107745, 47097081, 618515390, 186604942, 109941126, 374819782, 205754748, 613970699, 573023482, 701288562, 86111714, 235752642, 82506274, 46217516, 428263566, 613565717, 192238089, 153619499, 637049695, 127309069, 720976269, 546728774, 62890546, 474843172, 679456166, 240624002, 113682884, 63931679, 133203869, 338525581, 7615614, 958139544, 753357455, 99931652, 605335603, 721440483, 328484290, 664157575, 774127958, 108342084, 422677449, 392124925, 794889428, 158650533, 503446483, 508683553, 963497342, 26558303, 168135536, 29484000, 76939759, 908451157, 238847561, 770599539, 28977670, 528043483, 456786532, 241847401, 629990996, 260246871, 221874582, 497671631, 250025917, 114007840, 370290898, 652842334, 886995709, 624983670, 653614605, 65200106, 5726389, 707626096, 147647527, 568770130, 276441894, 683979691, 753328558, 896269060, 86312901, 533710485, 306798283, 843905846, 525855472, 477404927, 180988372, 168638268, 595099235, 269852184, 825172693, 125045031, 806892293, 685502283, 177114102, 264825941, 484888652, 618335741, 765412424, 842665153, 318094454, 766082442, 127033181, 325845334, 319369632, 187577220, 163831444, 443773665, 24772454, 710353326, 752981125, 808402389, 809661972, 528881574, 945420558, 239635094, 192678854, 435382136, 31206453, 178433992, 50409089, 312497856, 653544561, 370507032, 712664094, 187057659, 373560224, 837692852, 227654693, 925838144, 325824874, 633089236, 214642040, 50773784, 770647372, 765067748, 586793305, 213673073, 510654749, 537130068, 151618294, 536948683, 417625595, 6668351, 231864618, 765570071, 423646274, 260353763, 702258501, 511117411, 637025251, 933900151, 14257946, 428882242, 563610598, 215689215, 525076951, 723939898, 357152512, 67639477, 133322456, 343167214, 306685626, 549873695, 757095556, 774656522, 86054106, 51371040, 878879588, 241943292, 831133542, 265940589, 435898247, 978697468, 149987882, 883988926, 681563322, 896541571, 102707236, 776278973, 717700952, 838445720, 584417945, 806331456, 428231910, 115177245, 462036209, 857219544, 118524332, 857008204, 774548365, 755632978, 666855244, 274715876, 414452278, 43689051, 739316877, 809608195, 637278213, 322399029, 168753214, 785234172, 888313027, 503295764, 289295722, 68192958, 704521501, 489356131, 512859860, 815194307, 963807323, 475839098, 259729792, 200073511, 740678317, 702387174, 957703704, 734975559, 795062619, 747651610, 251198478, 146416112, 792891051, 113907425, 634647452, 638614028, 519305424, 5347193, 269175041, 769396972, 18633872, 328228960, 324249051, 639584650, 194262913, 365580245, 58675816, 777933203, 106195375, 905603572, 74583354, 489229336, 332773212, 41026033, 815540976, 316976500, 995861551, 465452503, 704399048, 860459309, 701295233, 768289746, 702787946, 317107676, 128507029, 845662511, 264594787, 936795572, 105416006, 603821817, 411904995, 680534808, 20844794, 391683293, 902451025, 479221704, 751864121, 32067785, 590846770, 412550280, 686389294, 979586319, 567781757, 125435511, 334589965, 818387069, 274365856, 818335600, 688388211, 995735525, 397678180, 475936837, 930646328, 59314877, 911653594, 303419082, 826485027, 227600587, 489399108, 183170796, 873825702, 338318533, 69772286, 260125053, 409150425, 385980619, 187450750, 883459971, 547869531, 966562583, 105331657, 849724494, 353682615, 830000048, 385904783, 305355730, 153652834, 30975478, 617977000, 920676101, 863552030, 864582615, 550486779, 767263383, 572489480, 647875999, 363383985, 687913224, 944341654, 163537293, 716825758, 629235568, 889898943, 995999775, 324188567, 187194520, 63353177, 574119970, 919220142, 356257980, 280451809, 595949319, 400426142, 641482758, 262031, 521586065, 69543994, 398250529, 342254279, 80679661, 645748250, 854888531, 997296650, 754489902, 707492135, 164100814, 79763541, 784973948, 451324267, 542168073, 238606515, 76917255, 779595350, 708271785, 665050774, 359801426, 997013986, 87465508, 105306260, 237670398, 668148548, 681552733, 42805663, 294205161, 712202382, 151268837, 475041200, 464370666, 740936305, 262047680, 201617776, 197632205, 804121146, 984446865, 681009902, 522144762, 388662524, 86529350, 415205538, 111742467, 51407974, 553573153, 397976056, 657043924, 76668010, 509892480, 864115412, 893568252, 868452415, 945431449, 396820033, 569165452, 813741397, 421953957, 216408679, 225479506, 357777648, 96450575, 478594017, 342907012, 311835031, 520906139, 733385171, 991949201, 936291492, 242647665, 530531462, 62340474, 794373860, 246521862, 199545098, 606433912, 731336344, 737943073, 772098615, 112747362, 259707167, 67197268, 264073453, 776437029, 69315328, 279980333, 935520695, 599409565, 355052057, 976635953, 16870860, 247878215, 183742255, 885231733, 910850248, 381268519, 510287517, 704491140, 895310915, 243018923, 693314473, 808734189, 420582935, 666339221, 466947493, 590471918, 998806089, 396645822, 148402610, 347013090, 372464149, 179564886, 131732198, 998378343, 508776184, 861649268, 571612191, 558061666, 905568948, 559365812, 390762998, 575667928, 451848386, 125591147, 440797383, 193865619, 834437307, 939217988, 826191316, 301045527, 62180104, 845602327, 231443918, 322378828, 500759974, 778720117, 896705337, 660411899, 689998085, 763302598, 929403168, 691488234, 618145269, 74887455, 586898694, 927914231, 19484441, 608688259, 844197614, 356028569, 132898986, 773543499, 328372784, 586903971, 634528859, 682944971, 766528593, 878004588, 843321638, 26949301, 257700974, 966429459, 484949070, 74815500, 155398003, 385874365, 821937046, 357441254, 413444585, 921949471, 89897908, 671958443, 536733515, 952751465, 334240292, 686954004, 440027909, 527745906, 233688192, 175236064, 210060665, 891756295, 135516646, 321653460, 590170812, 45055701, 267949970, 458955011, 430754872, 32128400, 792918191, 594208917, 847267281, 301886299, 343908788, 753734009, 587678547, 986080445, 921758297, 877649659, 447170495, 432734057, 53223820, 276711947, 494185667, 684434482, 886802071, 827086348, 378368415, 43018833, 852497642, 958137291, 972202068, 116851059, 813146452, 53318843, 781560549, 550571684, 373596523, 882485218, 74675785, 957797542, 658508716, 465058349, 431786414, 300420339, 738837764, 893350276, 537117670, 404513286, 63677786, 937789110, 947885788, 492881309, 92719951, 796005878, 392609066, 453664195, 967243268, 612474073, 678241553, 130178835, 609214553, 1305806, 149337632, 508470077, 921204896, 61103850, 514056611, 742660901, 287766351, 687880854, 990805186, 714958436, 416369453, 105932139, 192122533, 44756720, 272582589, 673783678, 278849352, 406312918, 529974894, 993649076, 335104139, 976413146, 74343139, 624660408, 269677090, 840659346, 547893220, 491007719, 972796683, 692362985, 127386173, 439428799, 141862439, 523521601, 262146584, 795139615, 270403405, 255438845, 609877796, 17888765, 165597639, 120489448, 944496425, 479394385, 763287987, 616577993, 518162895, 814809512, 474248913, 599185834, 793460718, 825522328, 249456531, 16870550, 971347951, 53847782, 18260255, 62705940, 729336887, 501011516, 440324012, 710701542, 566583831, 718196163, 480129055, 767731532, 411905637, 911332325, 704023100, 707667681, 930015387, 876976606, 422919440, 636278719, 350988981, 719258582, 178436818, 69923632, 230996323, 706269687, 291386979, 344613475, 390925772, 833913242, 793089953, 56340542, 192806762, 197781666, 702675174, 497172389, 106921258, 181799608, 660326219, 307738063, 803948747, 153099730, 333080704, 976367107, 953011714, 691787785, 359365340, 197036160, 935319918, 369393637, 207874328, 364074460, 302313238, 694742050, 683160629, 850365307, 343914383, 845223416, 893232210, 805639371, 950029311, 462055761, 826002218, 224753888, 227550905, 630768686, 164634439, 354049027, 853769624, 968214308, 692529434, 410469603, 251274117, 498121192, 315075127, 874038098, 642476222, 587909665, 835115101, 997643519, 734258281, 990964437, 616753490, 491924719, 292281717, 693524515, 320317955, 903943386, 247266094, 696177267, 797158741, 854566367, 941294044, 485826406, 515425501, 852027979, 946420811, 128429715, 593206699, 730478595, 196841116, 259066570, 94271953, 673946163, 559061031, 442529961, 806699411, 728873788, 486578960, 704603435, 251037277, 425769312, 208139852, 394715076, 622929056, 618638106, 773425178, 656221297, 539781856, 136472352, 713597070, 576588395, 891296403, 133844083, 809672218, 466771256, 921876309, 158461473, 567350, 332360788, 166187547, 879954080, 626629140, 664316986, 130723156, 372661398, 942900733, 248219023, 854569281, 229007931, 291214564, 305039383, 192257504, 785108566, 803998527, 354833821, 492933753, 197782910, 118579285, 281708278, 208909522, 132687259, 304869656, 476034378, 45941304, 875614275, 447883271, 743262934, 82405230, 435658132, 428264370, 406384717, 797556277, 889866648, 620247745, 964990606, 239491738, 879217103, 287694830, 975908032, 853819746, 876628667, 854271443, 998557940, 187234556, 302226831, 2902488, 219095297, 542239379, 127705548, 959032859, 628345596, 205686923, 994028705, 959368127, 169199021, 648340519, 909345064, 587304783, 189399373, 404859250, 67466457, 216961082, 439532522, 420711641, 11263556, 17509430, 216598977, 89871708, 940625639, 77743552, 391491256, 458920870, 863442257, 437160316, 787237706, 863226851, 397981589, 717239917, 962894518, 549050125, 67105413, 51827120, 788850010, 909220432, 648921583, 374536160, 513884469, 793335416, 933608023, 608828980, 747223556, 762749882, 438335570, 65856652, 289138440, 235336459, 845326940, 969557163, 719972486, 910655501, 481328718, 728053348, 519121420, 813716244, 876639527, 739519862, 660845855, 525983157, 881559087, 115240987, 990966506, 590054870, 800522951, 459745791, 969880680, 787543290, 747656646, 282068057, 557326328, 591157504, 806831914, 225249875, 57419579, 876798190, 352140707, 480262810, 327916441, 760565285, 493079242, 592394839, 186778434, 529621984, 290546429, 917484691, 513860089, 549081078, 41734746, 732435642, 403728253, 208117794, 459109314, 57718925, 992892497, 112643818, 427117139, 484606428, 381372000, 696953083, 386690980, 792058267, 478257086, 210653464, 363981393, 656239726, 463007182, 30962799, 259433288, 618191299, 250669930, 276098218, 156249354, 158409915, 506368306, 752435603, 50869059, 696143338, 433086568, 86113180, 955727652, 646840649, 23442257, 33065215, 40869542, 440168586, 526339973, 794868534, 115160226, 985977591, 514406652, 562971566, 604551408, 183976065, 874109619, 922351428, 254056511, 959037989, 358865248, 37966714, 78598190, 835742455, 7744740, 627028633, 993432281, 480942448, 104552939, 965648615, 414513071, 335256350, 544587719, 371601386, 265117608, 562087191, 189167579, 150680386, 121281830, 438470999, 308406480, 341424613, 948218840, 551827609, 796337299, 159047020, 695475657, 190102914, 341837347, 862894752, 960827247, 181088493, 942564442, 306895916, 292450843, 998919837, 634714320, 76801660, 111538059, 779195007, 298224506, 753874503, 248183040, 943290200, 260924196, 496612522, 105881817, 630176445, 392051922, 65795996, 924871045, 91631944, 16048059, 622213309, 929120551, 875307039, 158848706, 178258000, 720267734, 803150570, 43977412, 607521218, 939186539, 719491271, 55119685, 39746932, 328096722, 898037476, 195705478, 787978661, 898462337, 168342264, 100443278, 185297139, 555016709, 274225048, 494561083, 484073414, 246274620, 409884976, 519272222, 669449352, 950286242, 228650837, 887025485, 819630022, 109450038, 852982313, 157908449, 397843853, 918475513, 432162258, 687588256, 453905806, 641484222, 815809312, 120857234, 607252232, 484575934, 530159635, 21382794, 104168201, 610716825, 578984581, 921729477, 553913482, 438482353, 967290581, 147444329, 195364868, 738662059, 618827435, 622813305, 839258693, 27342041, 76879443, 502349206, 149495581, 45461032, 434870940, 709750128, 284152119, 862171761, 901030955, 92507875, 130812759, 331672837, 862417776, 755560399, 219504742, 951149314, 229138593, 401730412, 493215355, 619140001, 858064982, 884762034, 422120232, 808709288, 330215643, 72524013, 494644279, 750825763, 737327934, 706422304, 547261355, 384776986, 403826170, 798655218, 419514880, 960600763, 196914195, 734583320, 217668605, 134665126, 403865335, 121979869, 195197362, 301739304, 862875222, 182146598, 711957234, 233136951, 958742539, 552412762, 594663695, 430177018, 975002700, 859130431, 690678487, 600049483, 996320679, 312499380, 83480915, 475473144, 988387081, 928926977, 780648876, 300775473, 943269480, 564997101, 349733680, 686929026, 858642198, 605101591, 89270591, 205678734, 178450033, 886301092, 838077867, 991221060, 212973450, 612284585, 975173970, 437294836, 849767679, 773989194, 674340421, 144717426, 163023702, 722399141, 598263875, 314792583, 688568932, 453908602, 152766327, 164730460, 611331558, 467396745, 471606670, 870027816, 483422264, 520243821, 429442583, 849813640, 607618141, 962919378, 827896118, 178331625, 888695600, 265901630, 15922874, 396110082, 649583331, 830937207, 60621105, 791261112, 168079422, 489711756, 748588854, 985385522, 71854332, 512933896, 767950191, 12472926, 599941054, 633018199, 441889182, 375446904, 221801218, 88875514, 826809639, 288746131, 870118992, 66981866, 167272987, 859234189, 252902211, 701727075, 716785485, 317599513, 17668797, 331599353, 661178357, 205624727, 564440045, 708425384, 278657540, 491896240, 233079622, 985807386, 781097074, 344725593, 542798355, 488881882, 267350075, 467876317, 142883074, 418962000, 788276614, 76705362, 999255864, 633931376, 174543134, 78982088, 696706947, 260370293, 209117804, 180704309, 104383854, 513967897, 316656700, 309469336, 573888252, 350956031, 698066393, 410901630, 332169164, 422227012, 489899553, 812646942, 349789835, 389741635, 729513398, 691650590, 260783078, 119002497, 278300817, 803673102, 632625138, 141954481, 916681464, 154749626, 481826196, 892669084, 11328018, 282917752, 555253217, 764747364, 7047083, 499818407, 706139669, 927768961, 989313270, 93416806, 686421545, 772008104, 217397902, 622410727, 271788893, 897977827, 410952489, 345032165, 940699678, 871718162, 305459686, 104060220, 608261895, 719476719, 1580942, 181653723, 717006503, 498192533, 813646946, 548968882, 975870219, 385552187, 452539906, 598141428, 890396898, 976840593, 181777756, 484721904, 750110707, 265496406, 502539170, 168163827, 53600807, 606529708, 366786374, 39817358, 921448385, 801412758, 981917979, 523446702, 191281933, 17468610, 200048198, 235118916, 366897640, 93955655, 604900441, 256845572, 624182164, 460175348, 281753381, 41437322, 3091712, 694634548, 494959177, 21048538, 800735037, 927578002, 297539160, 846641985, 235139177, 487774514, 811225483, 901537277, 797603105, 238190523, 606904417, 428343688, 975774712, 409764451, 582378893, 224769862, 647137391, 502320582, 694681031, 510682148, 708630317, 793459579, 170048160, 109306056, 285540087, 184492501, 268858158, 503054278, 633155670, 682058837, 349442137, 70360344, 947677536, 872229653, 131556495, 145085854, 260610960, 338909152, 228431826, 27423133, 693868374, 426010515, 723807249, 437430295, 403482664, 119263545, 991723177, 519651238, 658726118, 581134376, 828217253, 39641908, 775971897, 788233197, 412311879, 507870045, 609638015, 250311410, 278937276, 320844316, 873647532, 263655498, 222321788, 330443052, 53329843, 525207350, 174348371, 616923785, 863188325, 386439453, 581850155, 608281404, 19282529, 993685590, 986096343, 228455017, 55176102, 623254139, 857462164, 402579076, 54999617, 411301568, 925816859, 68443292, 293931098, 899640030, 426543657, 597451213, 96866387, 695982124, 707254452, 690480319, 808896644, 989067061, 843900016, 103513320, 218978948, 66846784, 912571692, 625802799, 300340752, 56588521, 341255768, 714333365, 544625842, 950124284, 31014761, 77937596, 129528551, 42346485, 696959188, 421274885, 512670630, 572902335, 437311640, 430207549, 239686357, 70011857, 158245009, 829324646, 425196056, 295892674, 768366860, 958699042, 670571366, 332081891, 958771420, 376104656, 434408074, 172514630, 87476998, 934423611, 344444557, 265054586, 741003158, 543575231, 704772756, 420654765, 626084629, 880741702, 372740698, 205737829, 327161919, 672210592, 560183980, 264072993, 411684732, 983473927, 796746688, 905938996, 840942870, 951691109, 666030037, 1974398, 54932731, 661793718, 925695603, 240903629, 874843463, 151530852, 383035114, 565695958, 274670473, 203291624, 287863301, 221421425, 993291508, 753191798, 870520814, 22233997, 434745071, 795625145, 217479910, 974432612, 44338847, 169745036, 238805134, 177018899, 505689108, 53708709, 695304759, 769154442, 675655371, 610124599, 101761809, 143824267, 696490600, 633734497, 250224506, 408848496, 823112795, 229093963, 112150830, 493498714, 260898733, 360062261, 298620752, 685175970, 496144125, 359232227, 527708838, 159034608, 166075364, 794734684, 896279086, 851714082, 703539420, 645927097, 742642621, 494964519, 847934072, 250597160, 354729236, 821215862, 553183991, 935604317, 521908995, 859168974, 63054176, 306659948, 495565416, 745039384, 227455252, 97415741, 451278784, 529339811, 462458825, 99068292, 578964231, 275939435, 670079070, 931737412, 604754229, 802391719, 804796879, 546683742, 830057059, 370476774, 944144879, 818288455, 7196, 874266759, 417727968, 528968353, 235911857, 809237044, 413028434, 208933505, 23920190, 577983127, 788854247, 456961621, 747846754, 599741848, 137286922, 346929368, 130497715, 543596088, 289136723, 519440605, 355642872, 804114103, 208317896, 216013318, 403945583, 526333082, 593224258, 912533254, 139571803, 428510389, 656843177, 356530126, 939795738, 824890527, 437165737, 547345537, 188863319, 685250695, 16245761, 206538377, 634288720, 777404702, 804239641, 728767415, 598568307, 335738634, 425645535, 305376840, 399516873, 286699755, 20848175, 875316404, 595800091, 270815159, 394243920, 637225255, 245835536, 468940523, 275337854, 755995489, 264580468, 65634440, 754207693, 616182640, 85591113, 392838428, 726114283, 417795761, 386120651, 603927949, 747122369, 552413820, 928808280, 685156935, 613220170, 612277255, 613744794, 788707229, 984919085, 45985546, 340063915, 904067092, 362974624, 183963321, 463360543, 621507787, 809566801, 878592420, 847477429, 9312053, 566904911, 246359439, 705889100, 745329604, 216356718, 344324700, 477698712, 46049720, 488163638, 67690668, 833175293, 508766244, 913013917, 67302659, 67503105, 716617961, 398106561, 638516600, 148553382, 509966402, 961424263, 271521527, 536979787, 45797631, 252419760, 829484401, 416467636, 176082825, 647524889, 799073312, 127362270, 639764824, 24206710, 523259473, 351442261, 628065873, 998357563, 349654283, 515184617, 170520173, 137926365, 485039151, 463474319, 423577173, 132358962, 804070230, 378997149, 949338724, 405512305, 425988943, 467186165, 683550150, 984772932, 215427713, 134109790, 656717834, 564967803, 693477258, 483100920, 651047885, 238777496, 912457661, 415143532, 396287110, 160147761, 718929943, 106375850, 65622385, 598097835, 308311596, 891108016, 514778905, 15946287, 480651066, 808253737, 986027556, 388267911, 975779962, 44287553, 974193343, 293394641, 654337403, 918881815, 387335016, 379115267, 242854779, 90384282, 787134346, 119265416, 817483155, 984853017, 851579346, 217573137, 953173807, 499729564, 996433457, 66971678, 153669459, 780993894, 141433204, 470912662, 852651051, 622846245, 89036864, 737043062, 880627555, 619165256, 123258613, 920796837, 533351098, 154349285, 439080158, 839276664, 139779643, 458283270, 655211931, 193847628, 310793748, 310188487, 393678623, 843041345, 651595877, 372785867, 729223920, 4765085, 579323054, 830092628, 713835191, 975629161, 26524044, 264271559, 221461445, 188891559, 98992006, 708493699, 565041516, 501136240, 559183024, 326403294, 485857982, 336542293, 244491964, 578563678, 176401693, 312083906, 560379734, 949455924, 571326283, 191324448, 270072833, 596023184, 361693704, 303766377, 171278565, 9864715, 672024780, 741817466, 742085160, 544560521, 333187334, 687217695, 852443714, 447513700, 489965305, 380979537, 610605157, 691727379, 818691899, 646002588, 530894894, 81589735, 283939528, 471146216, 487541794, 404206278, 971712188, 504578842, 525375418, 163047530, 441588565, 16234968, 51907052, 842199873, 214195050, 85625379, 728100337, 869171499, 376845369, 173509981, 443939752, 447973640, 755229208, 506065651, 184914068, 676382266, 758785995, 420435728, 524661868, 188278911, 933339454, 211515220, 398092380, 833143349, 612067307, 569304021, 635592056, 916053081, 207844324, 388585929, 668131598, 227059319, 854859413, 294983001, 525606372, 896047825, 561300045, 819382210, 749974134, 687777625, 241748260, 764393351, 14793187, 140150895, 318036687, 236113923, 119426377, 571954821, 287720154, 678401350, 752580438, 567180715, 123346652, 225918193, 104113279, 728122516, 4486949, 564627264, 742777576, 470263349, 108983572, 271687232, 318628834, 865482019, 679478084, 622465012, 544095152, 468277887, 82806120, 724568267, 726523946, 352724289, 247678618, 979013452, 874085356, 751556744, 754515765, 673625090, 997139504, 686064025, 430836516, 496886260, 874152899, 998611739, 448836022, 798399781, 696409683, 516398137, 975353670, 654072845, 304963721, 19777615, 730350765, 729067047, 872865711, 80507283, 725832865, 276833634, 884516462, 259299579, 275245845, 608662407, 101596240, 574729702, 677085082, 161742063, 540890369, 29906642, 192535530, 776576289, 602121652, 198079457, 10034163, 872662919, 546031730, 66236638, 816269810, 742456985, 92889924, 791399182, 409289038, 285010621, 342799112, 571139781, 553250887, 486692820, 581256897, 184741886, 847257436, 259186717, 548989947, 856030573, 275785965, 5783073, 690579079, 301298757, 205766067, 991372743, 205702938, 993912149, 478160342, 226148106, 942488839, 281380788, 739574366, 734319006, 228945744, 889023744, 876074559, 482941241, 449715207, 576607053, 416382965, 769020271, 888368040, 962489132, 423180122, 269788131, 589768664, 6464419, 290252173, 817288615, 670029577, 939895919, 518957863, 199379513, 569578959, 483122331, 651991350, 807708770, 934531134, 345037977, 507473429, 261239439, 130045997, 620839083, 211913187, 821461332, 558346195, 244289773, 429096824, 603403955, 608196214, 906057704, 91992812, 914513104, 778536544, 830748556, 974418872, 881313021, 373755243, 890982173, 147254449, 803254551, 561626428, 219578361, 234121168, 966084005, 401546095, 334568025, 728950471, 184140047, 80538845, 719217159, 126024177, 540450816, 762567820, 67873783, 204351991, 132418225, 994575368, 977635252, 146167505, 112114251, 360056644, 797901546, 847273587, 411038862, 271337288, 123065693, 270435828, 506274631, 238010520, 225756681, 97946928, 495501962, 111525375, 722475322, 663363243, 151869791, 685437592, 925456897, 831830913, 50512571, 927526404, 585726813, 377890302, 525720503, 972917563, 302012072, 331179630, 981732085, 198830732, 483646123, 186276329, 592573890, 116680555, 811721884, 442744461, 139843102, 243067975, 935831581, 254185367, 370015195, 407260454, 815719404, 314117126, 441478219, 4358188, 244521162, 151654969, 907982826, 667608335, 533012464, 342510068, 874608661, 689525775, 453013324, 158666512, 100403301, 754523088, 936831733, 237076593, 232789926, 269299400, 221205828, 512791005, 11709004, 275837375, 683476268, 576766308, 103573825, 706574807, 193738172, 702658307, 820938763, 772521311, 714902584, 790222121, 616929377, 771463749, 152495121, 784347014, 165833030, 462108089, 911545890, 118838785, 960234221, 805798154, 987896837, 613623585, 77261426, 120187584, 784543552, 652393259, 815707642, 80771725, 90942185, 194140359, 702357073, 968971822, 678016206, 810228791, 691680709, 335407068, 725804688, 509462002, 327630901, 418504775, 909692446, 874002136, 591224518, 770943390, 396494497, 225840592, 474712679, 568610270, 918606523, 818252144, 557611375, 966540368, 137517604, 915666622, 734597970, 606978393, 376295287, 515279572, 266352319, 858342482, 259638812, 219121278, 84450301, 917500465, 276283695, 484133131, 881074642, 878901645, 770461034, 848947235, 353513303, 324926938, 101109856, 888264873, 642157001, 45078000, 96989775, 210254483, 63196183, 688356023, 894956645, 861220884, 587962395, 668213598, 119665681, 398251433, 675694966, 999086120, 683198212, 273468838, 238095961, 148713097, 394188228, 253242693, 795647009, 136897182, 119844594, 808719709, 50032544, 407808876, 738584225, 95300045, 12503292, 997466558, 806285702, 629346955, 746204626, 645326050, 842746471, 190624676, 187544715, 252949750, 18605000, 631589951, 534486810, 921409422, 162744658, 385358203, 376954784, 297332583, 596576466, 72840012, 596407994, 715724818, 880885655, 350465645, 394812025, 864465702, 952609032, 187669261, 678667463, 937379334, 655349578, 41813829, 473174119, 750600260, 979345131, 406062982, 884754603, 800616963, 598215418, 672358486, 477694185, 86179939, 526961051, 541989700, 223941133, 359250937, 392125427, 181619185, 870503861, 685565454, 431301204, 334514534, 268456038, 98248982, 451875485, 290492944, 499607938, 854674740, 648606263, 598740156, 477211256, 155020682, 302868056, 207140483, 138633125, 658929923, 631884921, 311758821, 460928872, 131791182, 53335310, 559540138, 994819424, 475745322, 393181644, 829606487, 239769124, 662905965, 585113031, 978814053, 641962504, 464405049, 628921583, 101745000, 874207344, 371388886, 453252949, 456029037, 873458325, 892537860, 603411979, 855613838, 502920570, 838346438, 15437696, 753073362, 644365174, 322463141, 141346544, 14527871, 276469594, 666840280, 759650337, 620631333, 287496652, 852123074, 125920564, 557324973, 677418029, 656191506, 798998440, 209455835, 913064304, 465497406, 895911052, 391951881, 860321034, 646783113, 66189039, 555804336, 343227258, 800171546, 849684073, 430996071, 318349993, 483188840, 587509292, 767872198, 341375158, 541950523, 767793476, 274386856, 100254917, 104727740, 395302263, 449899356, 390843379, 863329313, 842638414, 109103335, 441915923, 990730438, 554759896, 268200411, 839125055, 513600857, 945434841, 251388263, 307273628, 295898667, 945817410, 90936555, 373432336, 108214309, 926053611, 564988946, 669829542, 123543438, 756066419, 260631543, 955870155, 190715, 724104638, 585775255, 213300477, 283216266, 419709842, 975664882, 448612339, 71274640, 27598387, 94291987, 689564862, 548846689, 175983219, 240276252, 290199229, 394538687, 256121787, 143009432, 367438287, 394442563, 717471595, 209714222, 360434935, 759874372, 765051980, 573432365, 810746581, 715663005, 710010712, 2763857, 481831936, 661443686, 95870374, 132516411, 880559774, 768503402, 399817133, 540463548, 844118813, 294850596, 782850195, 689819606, 726316030, 929551008, 544916256, 441345499, 337263069, 942843636, 961349906, 810245984, 409859617, 403634314, 197070363, 636858187, 219616804, 364343620, 272326701, 709793631, 555674260, 596338922, 93668999, 678707424, 105172622, 738240378, 184169336, 7871361, 773418172, 144385151, 559938344, 342624945, 903250965, 980799402, 664392122, 9975315, 117967570, 876600930, 518678823, 887314055, 924462563, 740080433, 347010148, 907877187, 990812087, 876308627, 763008000, 736172163, 122521294, 806475115, 831140680, 274879792, 39869967, 779150239, 232861936, 387763827, 630654987, 884427889, 488325117, 427315126, 694880138, 739844175, 452514992, 956608783, 74956031, 619535825, 487361279, 219641237, 499595949, 299466294, 49004948, 290132491, 171375203, 928768348, 68229757, 288890792, 988466136, 583057039, 984146186, 799107945, 928032089, 894103602, 871292270, 328090417, 211144895, 348212316, 693270394, 977787775, 359111950, 546279142, 332189024, 22152623, 322392025, 175957409, 689972732, 916707147, 735297369, 174035272, 638381075, 447329618, 38039822, 362833245, 778764691, 743706250, 934681343, 191923322, 141578303, 259270111, 566616804, 815187344, 241029196, 154055420, 327307145, 174591000, 727167689, 404140967, 792025457, 829077588, 671289435, 312569320, 835069383, 5447096, 256222080, 416942274, 331572399, 918874728, 987799633, 491290092, 992672333, 939429871, 336987329, 599798227, 751748057, 48623364, 660906491, 483298529, 790604907, 931970346, 384818392, 500389663, 682648397, 687212261, 931635093, 63561014, 647646529, 66429847, 111976858, 604910209, 506679375, 555515669, 123847693, 44492632, 178847708, 946204343, 845354283, 427846975, 690556757, 914308617, 189403235, 36675450, 542238247, 794804663, 577442071, 517924905, 795204990, 501340080, 613354260, 854322902, 571260895, 510260438, 414373757, 959194226, 105045310, 477394368, 72800755, 445731641, 103854338, 841523771, 957791852, 191532511, 961580297, 388877143, 102309775, 428357400, 830081461, 563818151, 866259007, 485835690, 30082297, 948589886, 562392830, 499109369, 58433073, 733283579, 36428328, 742298882, 982643403, 593203780, 144755224, 578059814, 254472399, 22301867, 789998879, 735889165, 918792549, 557462809, 552573722, 576530981, 680153828, 916392479, 646974858, 34567001, 994679482, 9460630, 972487263, 300018493, 640747865, 657751837, 627670811, 587663859, 814605409, 776005740, 344540768, 914442808, 323409866, 565987127, 539745133, 675037315, 450123788, 413095721, 54159360, 368457255, 171562353, 621533236, 59200583, 982705473, 142943196, 24181977, 786801377, 843283079, 40385945, 194742271, 75718708, 644665269, 829591822, 640312514, 509973082, 836543579, 306452012, 813042080, 944898820, 550143784, 62021861, 992978935, 196696601, 710776674, 757759648, 788128770, 508886684, 407131667, 523136459, 620527910, 480558764, 915736219, 812216291, 91417414, 520775627, 949658687, 84409460, 816577062, 384304457, 930699848, 511428540, 836975433, 968245972, 453251047, 921779564, 216048536, 494252696, 254735994, 205744844, 981264789, 990061028, 985782286, 822067443, 316563393, 763292217, 708024504, 693075248, 99141092, 956296872, 55694579, 52732834, 308486669, 557081203, 58042609, 935091786, 601181323, 938701215, 779116109, 989803820, 873890548, 589353904, 723945581, 876703675, 211910418, 896307042, 762777210, 278865821, 110798924, 437579393, 628929110, 829831404, 526410075, 619011952, 978008449, 65222966, 849172173, 144839480, 782970345, 398869366, 641298141, 698001818, 170673426, 345647972, 659858130, 112495963, 432970454, 7230343, 585967399, 715821978, 40623996, 971749782, 842350030, 580042921, 989912562, 166642836, 973760291, 161765884, 782228883, 527819807, 138626752, 850353393, 333606921, 648705625, 47313075, 266982238, 201833381, 308526839, 68814931, 927686741, 262022530, 535614874, 863188936, 616955547, 104202132, 171104622, 331238109, 251912037, 286572272, 573456646, 949203657, 53043725, 806243760, 203265019, 876486006, 948937495, 567449238, 415256129, 988070406, 968023790, 17019473, 248737963, 120681248, 583983950, 153993219, 201935152, 136164457, 829871955, 626291047, 394802246, 260007922, 607931843, 24306224, 28575069, 225321218, 908829358, 169220022, 936512506, 665776761, 704549784, 698417525, 255461139, 163951408, 261229082, 220008280, 348623912, 807148420, 371106186, 366690995, 544609152, 213870993, 408196963, 754669215, 399795747, 559323631, 485832609, 350352952, 721747050, 21631935, 355573914, 206023787, 964425951, 691307920, 159549218, 671420169, 951126219, 634927534, 643582950, 274406843, 632962879, 760518512, 229811483, 390881175, 924757771, 38194303, 293272202, 173491328, 486019127, 734258251, 387215108, 437262928, 728554527, 275024192, 248976244, 343245733, 701258706, 170540138, 465617442, 858198203, 574360296, 946008040, 664094170, 517178634, 693040995, 799594735, 255316661, 449678209, 87199479, 511287441, 125791016, 282384294, 785396986, 457604138, 287610759, 723403051, 10837888, 746035325, 640711757, 995757787, 2202152, 917093046, 577936335, 648767243, 785286990, 635011419, 695112654, 374068143, 14921666, 440382233, 660237890, 526475247, 957351727, 252635667, 812396571, 412310376, 326907154, 30634198, 706007029, 970271608, 580512741, 972748916, 201325968, 314261339, 716665373, 962091777, 486226702, 273466370, 840975366, 599150520, 164993432, 484979571, 418559139, 363203519, 162207943, 208330032, 473511398, 794841071, 171891390, 336414769, 600986238, 936969299, 859143400, 350403043, 292803417, 958133236, 937969576, 384765730, 741217260, 719124565, 511975130, 529929688, 872979520, 413094461, 630884202, 651374826, 857264663, 228977297, 822943843, 77199492, 710743715, 932154071, 658944343, 426960928, 905863513, 849222023, 315065974, 933274562, 40403835, 803059944, 407747168, 714968487, 955036691, 961766212, 307500705, 475154160, 623864479, 399106155, 274460576, 874887932, 936834756, 339899692, 94033093, 512791616, 159687579, 734508020, 867806917, 575669353, 479473359, 574347008, 79762627, 134124861, 471750395, 165249715, 875142716, 792987970, 24874855, 280763719, 405529976, 351781845, 254659557, 344786449, 430895550, 933134790, 249828212, 490208485, 678075790, 434169584, 949903024, 747154630, 302454525, 893883097, 226358666, 752566952, 839129014, 742747936, 33190139, 395772530, 458036737, 292028714, 192074274, 74568408, 403968414, 748157558, 257293201, 281945344, 653838435, 6418166, 891108797, 915633643, 346851287, 238668024, 519068579, 990641799, 785190834, 689000043, 617317650, 214079151, 651673204, 509008143, 739303645, 839388246, 925063421, 921156601, 846270348, 23338925, 77029027, 980991821, 827897533, 469982935, 53943776, 846861414, 697151374, 165612553, 633591435, 796789686, 94826135, 191030409, 643245772, 130417543, 247948564, 119420540, 580850845, 676206991, 72685894, 636684603, 927693599, 49440245, 847822314, 682549684, 556752146, 961680458, 169120186, 531127546, 728504491, 155076752, 472477553, 26185430, 314397086, 593668662, 434302073, 803071656, 166722904, 728113321, 419246569, 823603977, 150361255, 524260741, 503555043, 714625615, 899435873, 935657071, 874663104, 400776830, 362487258, 525738000, 760317843, 548463811, 885266979, 839427412, 433041928, 412050312, 612894997, 821381333, 652561053, 229504992, 846168965, 640505243, 931920981, 276540988, 449906316, 911718584, 415403493, 558731555, 210481417, 997112380, 677146064, 356596017, 440393803, 795920226, 536832024, 380483176, 750339439, 586263421, 998945515, 742636966, 19095687, 544759610, 601077107, 910875650, 945314815, 63859444, 662491110, 300032016, 403559725, 419986460, 776754797, 628474677, 467268624, 829082135, 908578842, 585907583, 789607167, 744806186, 183096567, 761609482, 249420887, 836197476, 253923842, 308179723, 450254095, 243805445, 266396839, 346532591, 905313627, 551598215, 702201115, 726758130, 687676614, 236631803, 640582483, 423115271, 686022811, 633283961, 827195312, 15568263, 353725033, 784509879, 492037019, 149962977, 442760370, 802224471, 84215802, 419503084, 192316496, 71993407, 898152326, 526961975, 549858601, 420927066, 647960203, 952264125, 611390294, 881248879, 420701208, 60215625, 141109577, 140160557, 666087815, 899711095, 497256422, 239930430, 321162812, 247695959, 381869073, 479077357, 90739426, 900726892, 976853294, 956843221, 967708363, 216888022, 867880771, 358897449, 13482112, 922833301, 106553674, 364182536, 125102074, 136642006, 688150639, 908680559, 829094436, 783161410, 568528323, 465539993, 312580456, 995303187, 981020101, 163170974, 610314979, 514265265, 891956656, 534089572, 612165061, 474487037, 420431481, 81497077, 710994339, 499216688, 424426240, 487816844, 567122801, 892902782, 26150520, 808970139, 588523652, 958430586, 105232988, 52316094, 34727794, 987544946, 87835266, 680533528, 263981250, 834389173, 899284767, 953714733, 713657205, 540007592, 214744952, 937463253, 217212870, 326849700, 348041291, 65211132, 267468726, 437899834, 547960261, 634687043, 392830359, 329034061, 362074703, 328208783, 422784216, 932991516, 547859838, 705978615, 566715229, 113056206, 595149478, 241510837, 687025596, 152375504, 236767204, 922545066, 426562337, 764458519, 378479846, 490049868, 837941031, 791007688, 249012139, 383285845, 45636102, 911597607, 203463101, 989067196, 692922359, 203195107, 451818278, 508067011, 342071527, 910130955, 137533350, 352096990, 738630796, 869751449, 86932798, 340287770, 188560444, 307565626, 401961661, 224216713, 621863829, 842680673, 571616418, 735386469, 2994442, 554920496, 363702774, 583077970, 171947489, 823150020, 823902366, 111183003, 398388622, 522257152, 566670610, 788013440, 590697365, 640831838, 39024039, 912499884, 8811370, 62327191, 687633831, 304313578, 981335386, 482320016, 206110601, 332061080, 718366693, 329269658, 164039620, 390897235, 57110029, 241165783, 701173195, 435585244, 587926996, 578277565, 506059373, 823881904, 588590690, 840384877, 75079957, 338120657, 579233837, 539072223, 792473388, 668530066, 291709434, 495383836, 823482821, 358797138, 975488661, 758708968, 925414921, 360134510, 741241064, 37619542, 682589918, 48862538, 570095291, 763958119, 621446693, 354067065, 940041555, 342589058, 638973134, 749428019, 399463367, 889464314, 664903991, 720245045, 306576824, 230806347, 880052144, 629948087, 913718898, 476414358, 697858195, 61381550, 61461081, 859594576, 587650728, 998124639, 306126281, 653894853, 307950863, 14633817, 284023905, 590365765, 545910454, 819049149, 573339380, 646451912, 641630250, 724397922, 708891862, 635458180, 129075787, 767080136, 123487615, 882529405, 675313439, 703226753, 739187981, 853046248, 948038338, 643249244, 768863064, 701097138, 75531109, 102341767, 633534452, 24761866, 736101180, 901665193, 778152980, 460992832, 464506199, 203942172, 559441245, 327089644, 46981070, 890113926, 75116040, 972911787, 675457626, 551810784, 861759921, 656744224, 150777945, 234041263, 870554880, 48222598, 274714785, 922810899, 77014428, 475706068, 136451449, 515841741, 932306844, 653963566, 648096103, 127387380, 324983733, 264651335, 553422746, 527078004, 555777622, 760112411, 813247311, 771462213, 877911242, 904042902, 217633781, 173158697, 584727329, 706707, 610046718, 40515473, 571061819, 293189931, 721063574, 684877919, 593336402, 518410949, 673907818, 514645308, 856952067, 317852271, 563922201, 629861151, 336665376, 506707673, 833158059, 918759307, 728126286, 600815654, 746718612, 530026694, 73916388, 113380899, 485324156, 819072449, 60419600, 317004428, 673267345, 115082905, 650069318, 692402405, 370925640, 260504939, 968442637, 690558453, 719518542, 845572865, 44393154, 656342609, 706521349, 675521812, 920522813, 74338647, 506450328, 303648011, 414981551, 990147473, 903752679, 656120861, 373969947, 460605808, 218197943, 343657869, 801041350, 365256237, 186579864, 363974994, 33095639, 248969511, 596486751, 976626114, 175936801, 398791517, 706523353, 305891304, 324467721, 605883243, 102235086, 670445618, 421578110, 937202171, 861036786, 629395370, 902333728, 851475660, 848159169, 604164741, 546868877, 481435383, 819203296, 92821429, 532217465, 782357409, 639142220, 466790988, 516584104, 61030522, 112368078, 37749876, 701033099, 104647262, 858917270, 999384912, 71321166, 476244126, 830106372, 544502078, 420715197, 460469625, 584895085, 148621123, 385574952, 705794784, 476184414, 22499926, 661112901, 689485482, 740713953, 496915368, 773467369, 659268335, 852433556, 733186459, 679050719, 950680433, 463354019, 838588445, 632758605, 380703242, 443091731, 863618103, 856823436, 715628120, 877256093, 615311867, 183404594, 831364448, 670076213, 283444682, 536917618, 946639188, 474329183, 132762094, 377620255, 20938794, 630938362, 728185366, 654971181, 659659924, 474502329, 399361003, 831846199, 866451000, 528151476, 698318225, 21578227, 13484903, 386393512, 932173833, 159886041, 611743992, 481581898, 821427954, 476051379, 229569326, 40498099, 722860691, 580949579, 188563007, 361986406, 164323131, 855539550, 472627050, 196008803, 448757672, 60147938, 380236897, 342414189, 992665181, 854067633, 537199697, 815002180, 949668564, 995420461, 252792146, 506939191, 588591261, 465239896, 923936433, 459213428, 790016887, 953428129, 198562045, 134433120, 390731329, 237861089, 352207466, 198838063, 650966007, 907524701, 973836631, 194280773, 313362887, 841713715, 741555664, 289571749, 182026438, 676853213, 338403868, 971741892, 599536672, 447400313, 453102960, 388256185, 540775774, 135006146, 832590058, 856498157, 513902142, 748409569, 437107926, 150070716, 197283110, 89733469, 981088839, 287384371, 890684329, 503581152, 112951890, 386935, 223185113, 820225465, 180025191, 261169410, 498382002, 882687321, 406839741, 902823003, 224733556, 624419782, 921001849, 924363120, 371344149, 384057924, 107488408, 817392123, 560377711, 150550232, 727251767, 484686273, 795929620, 97335536, 690323329, 399346394, 651586337, 100114919, 189352689, 403674965, 778330339, 955315906, 458162032, 88324999, 914924605, 543829871, 640807812, 422743119, 724498518, 64719281, 858268302, 422233699, 462267402, 988865491, 687690797, 113871494, 423064530, 972072447, 43486560, 278071456, 984831690, 818741308, 82364960, 502040092, 729686853, 617882051, 628893994, 233796161, 558171484, 443469250, 915910912, 872876582, 206772666, 966593565, 306375982, 989755171, 176775937, 225837963, 77474066, 948191818, 117085995, 173420583, 476397306, 912878478, 521710220, 132154911, 577540016, 747417741, 748470411, 103087652, 775127361, 622349710, 851280213, 310066490, 674759422, 166691120, 652824521, 449089140, 468357719, 969748336, 380534571, 807099450, 296158404, 220916255, 823203704, 944496576, 521983178, 956426189, 998398177, 617619846, 156418679, 93712391, 362638936, 753430600, 26038008, 466165272, 328264083, 384970500, 819703612, 373541233, 722749887, 584543402, 411704180, 165278640, 306712970, 481492020, 14792935, 994039037, 778079817, 10797187, 299941497, 135937569, 23554048, 624234941, 44403889, 594511540, 778366993, 341523603, 505308650, 439021223, 403041835, 672153445, 758973978, 449806207, 496684321, 645325154, 351693378, 596645329, 313193861, 664630058, 714591689, 600853143, 815744859, 113013761, 919272573, 801116015, 665991004, 517341576, 985084526, 809821486, 282384491, 58315628, 330791718, 428356156, 814152980, 868066649, 531323996, 23821439, 675287952, 273833187, 389878180, 946274035, 291083151, 333883021, 186152604, 573417850, 808374986, 775059355, 799597656, 819308879, 996826153, 806820696, 54120541, 635740259, 357873666, 545269632, 605499640, 671166872, 461812857, 114856031, 133484564, 206773696, 836706678, 342845268, 414529581, 897124006, 816038766, 646947121, 945231149, 816991153, 892650799, 47249382, 162285210, 95957867, 767761183, 993420812, 635432003, 323889691, 450636372, 388490735, 62915124, 203797467, 614608242, 619663878, 968085565, 995891825, 490866337, 15929608, 122271888, 795415673, 356177681, 784433321, 570130425, 702662225, 122958230, 819513736, 35730060, 894722321, 975275319, 763543796, 850828039, 334775150, 492257525, 959334232, 237013909, 305682828, 156520940, 35991473, 66198886, 281137634, 969016320, 782453162, 343968108, 243713420, 374114407, 516562255, 352288841, 666834571, 85608581, 803140843, 242398302, 31688794, 804221635, 361036875, 249129344, 993671805, 609750962, 446212271, 485951259, 985671232, 577935586, 862199000, 632148540, 279508034, 721746014, 237200564, 652212722, 87685516, 25143314, 398122225, 66972651, 491896791, 220593876, 539336501, 663497910, 526153292, 269715156, 495593716, 42621373, 855786274, 90687105, 780527801, 27806373, 438172694, 301675144, 208317744, 817116931, 752722689, 429310674, 258181958, 768977567, 283628015, 351072331, 544837875, 760515204, 331136661, 938022905, 429787769, 48229663, 438247536, 589444452, 904963613, 822375608, 920165216, 510679307, 129785810, 628752487, 304822709, 647592754, 54721439, 970901985, 654793480, 677833424, 928274087, 187702904, 564833637, 753722930, 537256772, 914386439, 564632792, 806678587, 218615742, 712809008, 18456551, 606560007, 652254524, 362382103, 225610908, 45108532, 149382676, 311793692, 449915414, 460217855, 404116920, 979543882, 158669251, 874690777, 844661936, 365098734, 684341563, 849928485, 221425130, 759669828, 361040617, 762331829, 657807221, 960325681, 988574631, 90801365, 177369198, 847767572, 246623445, 838601621, 930521264, 119407793, 593388444, 489313410, 448574489, 349496338, 476886260, 204618925, 798812712, 948800524, 982903132, 817607822, 122145922, 939011800, 761150305, 768746374, 904255629, 377328698, 861067152, 565840120, 814080805, 846197143, 100070009, 115121747, 4794494, 437869142, 125923431, 909143679, 215445248, 996053455, 714906352, 113136051, 344378635, 897365626, 112980894, 912468444, 512974104, 790273993, 820982727, 149344919, 860445130, 603826364, 17524662, 71617417, 668881656, 691324148, 317772586, 989487738, 761531163, 573906794, 283745905, 843418579, 855624374, 80911880, 579115416, 723709971, 761375577, 227640224, 806909587, 198799948, 429370687, 416547153, 704520613, 522049522, 388032450, 878629882, 405575040, 389638498, 435374108, 95257077, 232218936, 186557331, 384518599, 722751421, 451478752, 987891555, 411215134, 319701476, 626044609, 929851570, 696956615, 593719023, 165631373, 31113609, 277772666, 384098694, 681146999, 60579862, 27969567, 199669819, 945161475, 463130709, 536779528, 9918650, 452184757, 343552320, 328368690, 172775376, 534360189, 518240281, 222148990, 168915281, 22111349, 54850381, 268094778, 721281870, 373897306, 674275086, 231091274, 985059674, 708807550, 465793647, 252820800, 995408259, 144243848, 787001796, 142889231, 920236296, 541023273, 827037954, 725236611, 702586499, 458556832, 214444598, 177376678, 688758570, 889195801, 325250553, 494992, 335245354, 663800100, 553846389, 713664205, 40795768, 713040466, 352133193, 257962983, 435161560, 540558180, 148467171, 824899859, 591623284, 287770878, 844592551, 597840141, 756672696, 125161684, 77625643, 727733629, 677401932, 977002146, 475075822, 547839372, 487390404, 359103874, 820885348, 573672410, 959547848, 964485433, 755110607, 391081756, 414992551, 225702950, 87427772, 754353808, 549197043, 810235068, 994782119, 700626406, 727978273, 728394893, 66314870, 678146814, 864057926, 319734341, 972070207, 114557696, 30985117, 643142626, 697571160, 404360373, 999781036, 451921543, 196494961, 121389722, 583451070, 361961662, 550465955, 499291816, 763327108, 400808047, 242921605, 872574074, 228589764, 438866545, 753842, 226530700, 286017299, 956966107, 569283358, 952846502, 9105751, 368453422, 299372519, 261041244, 878080173, 773411448, 314011997, 852671694, 657067561, 401471727, 704111140, 645487496, 996917309, 851595852, 114532715, 940287214, 5412057, 176538797, 182618370, 354439696, 170946495, 210228363, 789932920, 724540540, 875873137, 991543791, 59365427, 957541799, 595436325, 595178129, 646449991, 999135056, 755600978, 466862105, 521342747, 622443129, 963403392, 332147557, 629948104, 287601044, 472243910, 751373365, 589991470, 770609168, 255927480, 242694466, 705231654, 926559103, 417379338, 745872627, 985551716, 587685809, 309817047, 574440066, 955196538, 684384664, 535745911, 3869235, 65638140, 766068824, 127804175, 998406814, 416767052, 623676990, 802239553, 623707060, 854335206, 755612068, 314706117, 430011066, 80602555, 667295792, 39906305, 654638183, 860533618, 461805653, 570673212, 97563302, 144850872, 712722693, 654225117, 395554701, 110128394, 143624490, 592734389, 985680928, 297547688, 940039435, 140966669, 837116361, 123340973, 905986838, 512456135, 49845206, 938100224, 83103860, 755892854, 683031408, 482697864, 883298326, 223001629, 334618454, 723478739, 226763291, 810665668, 664403323, 61829583, 602190449, 298713246, 927340639, 253523770, 653593048, 18338981, 671532829, 810477206, 51578726, 366403504, 635890108, 586673215, 883907689, 446026920, 82860574, 858344365, 617077824, 281208964, 146278779, 703798050, 436195336, 917055911, 773032465, 40973761, 233941271, 176759421, 977889077, 803613325, 622223644, 729276593, 985427806, 538269071, 854683567, 946551100, 656628143, 686292560, 907040331, 829731296, 437748484, 973992568, 141824555, 794335140, 827409377, 294099587, 386553357, 232856843, 950893595, 882814603, 143094950, 196402292, 195292356, 154475156, 415621172, 337788857, 757532708, 836286159, 327559762, 398027270, 93946094, 592488156, 933427054, 376944623, 214478089, 814816713, 651659755, 540363005, 735017108, 630485858, 743448954, 518071660, 308072573, 384779151, 270179497, 368075025, 777609333, 259367444, 192071033, 852146396, 527426831, 686352, 910339518, 768960781, 458014174, 873725932, 821371367, 961874001, 323862525, 599315539, 976190282, 244224318, 562162857, 390681672, 903476493, 973667245, 747892227, 344239338, 598342065, 181720354, 660719179, 853341242, 721247596, 817576524, 646629034, 369969766, 275490552, 542983348, 391694266, 312587840, 577918652, 483013297, 222577962, 246050625, 550021767, 631983411, 124676445, 403831237, 30431663, 202772267, 383986644, 418308562, 537984796, 639572477, 981804859, 122946880, 661104476, 795495545, 153912772, 531381974, 718905464, 268540152, 562579601, 702517233, 236615789, 593694061, 842220953, 284363147, 445436719, 189572020, 130567489, 134639331, 345543873, 973394064, 165956637, 278797541, 384444102, 217315862, 83807333, 326981675, 484164694, 80165886, 511387076, 750879124, 622351447, 57149934, 572776425, 851344389, 492686069, 764158670, 100337843, 811227648, 367243272, 849258581, 402510371, 4923888, 214958230, 981713433, 833733153, 199881005, 141725982, 930995332, 60004419, 858554703, 787094236, 781794052, 237227928, 225466738, 427926591, 482129408, 443739531, 43355532, 337453283, 804945489, 2491058, 249849165, 398913822, 467791624, 400509065, 459581367, 962990925, 690989829, 364169054, 895165168, 532778156, 662061056, 198905049, 304037144, 462461953, 579239787, 826514406, 298104478, 400743947, 996545477, 389017394, 156585037, 231349437, 894406530, 699143037, 281860178, 240625350, 658017814, 183144767, 37835281, 982306868, 823892625, 538353285, 22085152, 540260334, 122756032, 939637118, 661357847, 152499782, 652415242, 711829352, 160895697, 833299055, 380043790, 61047311, 455280624, 427003562, 127377627, 263371423, 352265402, 555370632, 3342546, 546515490, 915170071, 320970482, 309331195, 866003123, 445329210, 239760193, 270145790, 262699349, 109063579, 293605958, 28028742, 43108044, 714531802, 292831882, 5258158, 960578706, 174313495, 50686647, 38306937, 263794623, 34698030, 545961364, 417771782, 432359561, 595953435, 385752188, 548660554, 285702298, 673161030, 608012755, 205230966, 498956144, 368135075, 216958840, 446938231, 568591358, 331547128, 559376318, 68611527, 665301170, 34844435, 516892973, 845043683, 240248260, 401307982, 567153471, 960405747, 153609039, 857419861, 118309051, 547682379, 648148426, 991952539, 882545773, 184061399, 999070781, 765982521, 267411076, 419502384, 124165446, 224058051, 857998522, 14496073, 264213459, 986820692, 570282129, 211753213, 245597268, 930143204, 774551498, 514652876, 925073693, 921086628, 640773887, 73060225, 529715420, 40958571, 366734118, 683946677, 432313285, 992760200, 784693488, 930677383, 619151604, 805284759, 457772432, 592456091, 485100032, 955898868, 391900453, 219676832, 562759638, 430856434, 967077015, 421103699, 992963917, 110482359, 777569921, 470580703, 460032189, 233271275, 82572015, 650552543, 189372307, 550063160, 647746980, 236384115, 179347295, 402139142, 159629222, 273418934, 139601570, 639676421, 652064016, 84453428, 465043456, 114055612, 584001438, 882590566, 676394963, 483216179, 745966194, 825327985, 985623490, 306947409, 409524159, 138263163, 64619898, 417338433, 406408681, 176380047, 442151325, 151506186, 149746198, 474173500, 102746034, 226566556, 996627825, 966584070, 365471770, 849933266, 413800255, 598244754, 126970922, 185758186, 706461626, 401986302, 678089530, 630918032, 620166883, 400240225, 221398836, 433075871, 195422184, 666716900, 602329513, 751455164, 227663599, 121331035, 46276718, 596554704, 50099848, 554281974, 271420442, 500849468, 661363368, 634675694, 460763583, 913662985, 991783536, 333018579, 731640294, 559230455, 999669244, 758691851, 593952435, 511148631, 493139256, 94739801, 638739681, 281785165, 660608903, 886479304, 978275634, 683136324, 434348291, 724037738, 886238552, 683542926, 3901775, 770688715, 985889474, 744394045, 687499632, 112022925, 709757837, 808444152, 388990657, 414047616, 771749579, 40009897, 498367058, 958240729, 510152993, 969036435, 944212125, 311926042, 395130471, 761896151, 180718861, 980058142, 562067677, 69013272, 789419877, 169030287, 934204461, 315969032, 819974762, 550314188, 144251778, 822839592, 632707453, 420496940, 348080391, 772142856, 290303779, 943238844, 849751516, 485101918, 860570586, 469092857, 46109389, 874054586, 699654764, 761626656, 568016869, 600632192, 355393880, 762871144, 90723412, 421396573, 821959691, 688529170, 1176013, 636078683, 112883067, 320579043, 381618296, 65758063, 25110816, 490864813, 386913272, 267005790, 562375298, 289107207, 762698447, 434785338, 856447011, 259157584, 270443820, 38413935, 900862060, 219634624, 624575829, 287227775, 972836461, 345965740, 122320627, 994577485, 892542517, 410959298, 971836054, 585178827, 117477242, 84885627, 212011083, 294328681, 180829844, 579330251, 12516062, 70827964, 248185109, 531725514, 74432849, 906905354, 514687983, 780610483, 153238624, 849709297, 946298535, 53595615, 745693607, 804622002, 54756627, 43445771, 681610311, 38927291, 250831651, 92816901, 208539633, 621293214, 38923469, 40014046, 94843065, 835306181, 420634293, 34189616, 137708148, 520134747, 933145517, 831535807, 123049281, 651596986, 290989476, 517207984, 479116597, 81926487, 304904974, 813467686, 898725379, 136962177, 297897895, 269825097, 250849752, 841034435, 52275124, 410518997, 430127781, 228071649, 857447845, 538068858, 870164542, 486173353, 408732220, 508445817, 690253051, 460612092, 861451465, 825936684, 792543852, 33860420, 246938348, 74650582, 274397244, 779003226, 47608585, 373548413, 729452187, 450947645, 64419561, 570761831, 893669977, 512129496, 560247894, 157216026, 460511522, 286346537, 125211998, 68607530, 453266903, 322374612, 609662657, 941008795, 447510415, 622127857, 232525273, 271107278, 146650050, 798543450, 199014443, 378559878, 2556259, 485621987, 525607726, 982004596, 891950318, 691909166, 986595406, 477928614, 879722556, 343044273, 843756926, 934192441, 734762611, 451061712, 218968049, 164305574, 360301957, 346527467, 3541627, 831749710, 554744489, 863022260, 469664021, 195610995, 716813815, 468569610, 505213642, 891866880, 497163608, 516967543, 663054584, 17592232, 266839037, 75364631, 640890895, 42432106, 400458258, 50573085, 635496654, 987670980, 54635066, 106795671, 287172203, 407075415, 987319132, 14555118, 364617675, 762036431, 130174471, 746255821, 523371353, 192952137, 917919583, 592421069, 260621830, 727676083, 718418651, 478613439, 341651556, 32387074, 33993304, 670410400, 778137207, 816385576, 779768161, 348218763, 558107106, 377331256, 348076380, 463754910, 968312238, 623691316, 843438135, 192144111, 263062791, 8396254, 188375947, 268693563, 655663148, 980204049, 662748233, 886987069, 500848743, 127991937, 90328199, 655925105, 802214454, 551894196, 338525449, 272553358, 89074570, 403690229, 750680529, 963767653, 348220040, 992991157, 481705836, 368971410, 520848735, 487146815, 200981416, 473334755, 102479729, 150311732, 733699420, 994750700, 701747533, 176834944, 953437533, 290193853, 770726758, 323588193, 875700073, 247099866, 94618591, 244764061, 295905921, 730670025, 438770849, 646314144, 167970305, 672538052, 707512052, 247123584, 608636102, 66828623, 932791585, 697725469, 739802925, 417783928, 530322736, 689774871, 936311568, 241103937, 3521906, 943169413, 818582953, 441718464, 736967953, 32964558, 876680770, 571792946, 877812978, 298006531, 946872519, 818601383, 397880826, 306917487, 974441601, 417490162, 596268138, 550148939, 728347200, 525715189, 252588339, 159300732, 908036027, 485683162, 319262407, 650688839, 444978653, 675148744, 663825138, 595867279, 601918782, 509387871, 387643530, 252143331, 175342659, 369316536, 955448187, 468611249, 827371036, 106674969, 792723706, 921717691, 261315152, 438355800, 536649863, 118600045, 580022577, 837980446, 915027864, 488953072, 166942234, 121702104, 282827493, 33811094, 264601835, 697395753, 758331025, 460562419, 661776659, 603126663, 135508693, 18070721, 816161078, 43800422, 745569448, 297127530, 252617221, 409557014, 504670446, 880394325, 819534188, 449546171, 669337584, 820619341, 184891006, 809311187, 159490172, 934081215, 471144905, 917871470, 383249098, 767639231, 501804806, 867699982, 97482663, 991894058, 502902913, 457924233, 235772728, 120059640, 471404572, 418640164, 796749337, 884715396, 373490539, 315204547, 875694208, 882820176, 571585124, 795112399, 899878622, 950346063, 734371932, 435264627, 823235001, 764596698, 944984736, 724990926, 518324522, 208374588, 143958253, 295957868, 997607882, 622113846, 89409853, 324426646, 526812725, 887937857, 9242879, 868877127, 391738492, 565950121, 291059769, 922024566, 415464520, 551954645, 807666712, 413521823, 228025840, 526452536, 562960385, 906565819, 803103892, 666267790, 929723599, 976953569, 111074976, 429420284, 837161900, 312739976, 12447175, 74041168, 687543860, 633979864, 846578667, 450391738, 107315174, 233237385, 80426975, 311773273, 590603851, 162972060, 912706750, 517798952, 720431751, 591764198, 798839458, 370700607, 636758625, 651751707, 725876751, 831139589, 202094277, 352227371, 743385763, 493988052, 891721329, 313094736, 198719551, 84095382, 208912988, 157142055, 466731154, 963034302, 665968701, 316810614, 199275182, 934727791, 797407116, 257650561, 416314489, 631506157, 614898732, 691145005, 586859638, 836139692, 409334067, 887604882, 531412748, 431268935, 722847932, 870789722, 625150397, 767377140, 784795644, 342128836, 241530187, 112350823, 769080106, 353760448, 53585152, 319520015, 642906548, 3268567, 616176553, 565160808, 238703460, 945973409, 193817389, 652493598, 388666686, 122337561, 530505008, 556664850, 451765895, 612451766, 564998699, 980721121, 670499449, 486266383, 685585232, 983390550, 515573142, 723486808, 429971424, 186489493, 900915107, 446162002, 44195415, 721458526, 419382420, 38472364, 833236265, 742693020, 152289252, 788193186, 158534880, 709857716, 749692283, 838669423, 246931602, 432779306, 452892037, 379150706, 932674412, 834895791, 63823237, 971883606, 19950235, 125686603, 184080153, 771784856, 931889805, 910272493, 91086825, 672174521, 129873723, 120628653, 153232096, 421582024, 134854291, 857585432, 791909848, 886973026, 684807308, 522339755, 27019515, 120986756, 93938277, 394714582, 137916484, 545632001, 416067371, 955901998, 737197454, 276881529, 200880494, 200210786, 201382939, 88603172, 968466280, 946719592, 852109140, 170208850, 618661849, 808755398, 93699019, 472965026, 666049850, 864672953, 202150658, 146219364, 529903725, 694968427, 774710888, 695690527, 975561063, 543791842, 712420773, 339634466, 412937220, 445125911, 816632838, 180353024, 794988472, 272128307, 558280784, 685474672, 794226082, 308420646, 161604439, 664740149, 57270111, 671706433, 403836511, 690809050, 639963225, 257216895, 967186256, 877003452, 33371717, 678943845, 205349068, 204266438, 113014077, 311831096, 271180892, 230863634, 834664394, 189741775, 225454859, 701649003, 28558475, 46024313, 129103814, 927831952, 336871941, 268368470, 534710260, 98266561, 860456173, 58303246, 713763110, 545122597, 304308805, 377925326, 967056249, 24270457, 492144901, 963185690, 575042937, 676016448, 572412148, 127449999, 942812609, 464498389, 686975585, 634310698, 726970388, 223304640, 392076644, 37436532, 999577952, 433596510, 450893746, 41594508, 938064667, 162362543, 180567918, 330826407, 831883855, 872498659, 905374879, 234314456, 1690028, 932882230, 813821405, 897120941, 610312780, 153021946, 394075752, 564315820, 217724865, 645556053, 201955868, 432667550, 625254382, 100396400, 407275555, 159267747, 266617410, 505037638, 187305277, 421879283, 329845624, 845971555, 932712123, 794330869, 280222316, 993534372, 15709157, 410064240, 45223373, 130810233, 181848167, 972495506, 855473340, 184899409, 276596449, 361359373, 197311659, 929170490, 154515025, 612426231, 706645594, 716582270, 212234101, 949264455, 246580819, 472303767, 387761508, 438163293, 373034005, 752732522, 676156721, 770717256, 282166512, 414653065, 239175977, 947929162, 31315205, 632910563, 918021486, 449701935, 732284512, 705089200, 410280868, 567651668, 499123066, 623183068, 648501761, 7725981, 697760836, 680474976, 267185913, 86724888, 595682747, 326720240, 338784224, 643186769, 894638394, 779067952, 518106609, 652334385, 45367437, 306138260, 754313117, 882783693, 856647229, 996142913, 928719098, 582462674, 770351642, 48025526, 268455896, 901856644, 987586738, 311824759, 868528826, 43557545, 243134916, 901640220, 29174898, 495498466, 364574572, 124758335, 7676108, 588380837, 686922015, 732555383, 474906951, 983070077, 559261369, 377986296, 225211041, 525653320, 220795793, 39190849, 938714152, 100850287, 532570449, 184165016, 274486516, 606523033, 39713904, 618708245, 472665290, 62905052, 922767035, 649502393, 125297053, 88722436, 316629164, 16682629, 263267114, 276770014, 295062126, 379134026, 560665854, 690349664, 489001678, 67937508, 314009954, 463869681, 769704707, 312100972, 543248859, 148302438, 686338912, 217231154, 109690457, 357692698, 480765785, 779119801, 613561320, 451754302, 228132163, 221412586, 121589493, 847573833, 866828181, 556242893, 712003522, 474446048, 70029459, 165874727, 774201826, 245574651, 809070706, 13008546, 695215898, 683067125, 763593209, 764710607, 489313451, 796268962, 196597499, 251558476, 51341986, 740910897, 873204250, 249131287, 667507174, 786856346, 604474983, 942253712, 837743906, 713990862, 668204701, 705857922, 899556484, 481658146, 954306340, 462799196, 408862387, 314726495, 429050331, 807263256, 468763545, 204361148, 508259725, 671412127, 615761930, 877899480, 970615258, 227853658, 753566040, 610081705, 645749538, 462300112, 681249544, 275807651, 479644612, 48748794, 24844886, 895940714, 433970387, 687222785, 124592386, 565405950, 456695031, 626509407, 18150260, 284511170, 37810205, 934391563, 423893106, 960097671, 584923487, 188729211, 950909944, 837558087, 327692653, 858304808, 400231520, 475217469, 677530166, 155821128, 942491270, 16444835, 479988130, 558363586, 189198735, 751679344, 858475479, 902405036, 217947462, 465251689, 761568755, 747427843, 460037280, 183235588, 318795864, 362667376, 572179478, 744213751, 978238392, 940658530, 403486194, 109213485, 829453427, 20394071, 901216926, 681821836, 953926582, 13300776, 10681424, 755248434, 242720529, 686708382, 382546355, 636177389, 728025130, 862204907, 846166989, 976762670, 682555094, 815289826, 908553720, 827180134, 582985652, 494652516, 723567369, 630844740, 430517347, 751647587, 440188199, 777122922, 571440430, 838592354, 653873765, 136228969, 203934228, 635274763, 63272117, 969045804, 812242788, 314170822, 861884924, 893357962, 727143427, 336358730, 318791986, 617264357, 386186885, 102880216, 140639030, 897868620, 890232980, 209394415, 230074373, 505083221, 238948881, 208252468, 975355388, 98368664, 95480383, 611957140, 755038565, 112340234, 107372298, 282964981, 59454795, 881044741, 467207094, 409453124, 56606141, 651896222, 718951682, 326917272, 146368147, 482080110, 885369886, 471896742, 925897479, 686605303, 735037199, 559209066, 332676394, 229659200, 400785554, 552179900, 821141865, 448169209, 570112747, 339462652, 188532255, 561273645, 744969872, 380669713, 672318286, 146690548, 91741325, 380885031, 977518244, 825548322, 616080575, 559251848, 586438587, 775199138, 435295099, 319868821, 613649805, 849405103, 114212011, 355672673, 964248912, 620258708, 471262175, 954996483, 960138710, 688094520, 775210168, 696492812, 57686194, 110404064, 442305718, 83428432, 502177232, 935689106, 581167159, 78504597, 624937500, 730342428, 755428666, 100159332, 604288964, 968216276, 385884642, 868759727, 383356248, 345206870, 36814550, 277183278, 583804276, 616420055, 775059128, 847835043, 139488823, 580987814, 652493418, 696486925, 478440735, 360700735, 595793307, 181137332, 563852413, 267774103, 825120992, 214720247, 5318311, 524436263, 461688175, 913288165, 980742124, 147904858, 561681453, 401165469, 355073056, 125008541, 321218820, 15908594, 423015611, 659907261, 740488558, 196570463, 380714533, 22107340, 205233727, 479035013, 278836630, 536593570, 267994686, 368908909, 396765180, 711518235, 857313996, 59356538, 731472739, 519640328, 959942868, 408844447, 254480486, 968014610, 484256446, 545374673, 136703931, 30669465, 5655597, 303716087, 819891267, 319826206, 439503712, 447309052, 433973195, 197247272, 226285280, 178649181, 682763048, 702168261, 592791496, 69055537, 879816207, 422873596, 64957935, 606980159, 720596994, 782342545, 14625896, 607151750, 602873833, 539892258, 950208134, 835865482, 4447765, 423035275, 775139035, 151728578, 315317838, 16898165, 844024823, 372920263, 905799025, 273008680, 874673976, 176402825, 163833626, 544752903, 357546787, 806690655, 478831369, 158403968, 470499899, 762579643, 745619967, 533962789, 987236412, 645546035, 646352823, 289185650, 651287169, 766274199, 643506546, 611287705, 59352029, 944461980, 309643678, 734119328, 347146702, 590550647, 60749610, 158714924, 580457711, 333714420, 856518404, 464755333, 895477869, 663289463, 895396732, 501001558, 85266375, 379875325, 298463576, 755399790, 244318525, 580187875, 7199134, 183290209, 962292727, 992089208, 134538998, 200683816, 645861912, 865923905, 78535994, 281937871, 173574170, 398454248, 860958422, 637437768, 624320127, 20126064, 658493639, 765097934, 57137425, 683783651, 679414790, 297471854, 341076940, 956229375, 629961940, 847381884, 399607287, 599601074, 43833924, 42150779, 208563553, 610307813, 98659168, 933330881, 898833570, 997420634, 389224083, 884233642, 872788184, 238451280, 470201872, 770043293, 371300959, 295112562, 891370563, 728976045, 995191024, 320882776, 194398767, 292269689, 117112992, 678423562, 487333118, 95765960, 190009770, 348993691, 260041689, 699134365, 471678793, 342999415, 122737384, 894844054, 653383246, 337290883, 3065964, 237673342, 157268126, 708047007, 773257874, 562216848, 683285690, 986336100, 535889424, 26985864, 872837416, 272284351, 460016280, 185858984, 429584916, 585603286, 581305222, 133472310, 681119877, 246471283, 403621953, 846844353, 781549352, 187546341, 879255202, 452058691, 569854191, 27063255, 487457855, 641487822, 9225698, 449451784, 307541033, 708160509, 745471212, 861208075, 768232471, 167953326, 233360853, 175217320, 437741600, 99932833, 330317052, 90319782, 20707655, 372037950, 176977836, 585825723, 196646106, 137246156, 112941997, 740407981, 790528804, 522747088, 291174166, 390972587, 615610314, 484877548, 217550936, 897262751, 191692754, 760104027, 257288794, 509702830, 507258890, 132814310, 196376917, 663851522, 852213852, 419901023, 949985895, 22477927, 231685824, 567728211, 214503116, 194357603, 790071354, 792416044, 749560886, 210263952, 660997683, 840210728, 793519616, 354485711, 198716207, 194504322, 454804011, 77875936, 344367387, 225936631, 69006046, 610655039, 878431516, 721522978, 393191837, 873482784, 316248801, 993193659, 712431810, 558637298, 863284362, 355851112, 99164405, 672089354, 838002714, 239147862, 418511889, 329898526, 683759881, 128348574, 531006072, 721437774, 565902759, 111930463, 902260402, 386917368, 197682330, 334218947, 923375749, 638396654, 202030766, 802341545, 260902797, 743865100, 900054634, 537211025, 629316524, 85982149, 436084541, 687383101, 352705514, 593182780, 335298662, 15149435, 892675868, 706853099, 818082592, 834324972, 222456075, 168148103, 249865195, 855199946, 654598886, 304808561, 483756325, 575073647, 424156165, 923837106, 423847277, 333883018, 702480469, 960381536, 832561886, 374187823, 361017231, 790998837, 285740862, 139184071, 860486939, 853034367, 945175819, 62072175, 300620109, 744503867, 89484259, 503897498, 392232511, 232649891, 713272552, 279424593, 531796026, 217130314, 157248173, 712937081, 488342488, 37423682, 343881772, 536638416, 377484952, 858221762, 849246978, 487246932, 660743520, 18719792, 556132483, 801771864, 719160610, 662869582, 97364353, 807212759, 256972176, 26517698, 494417720, 424395535, 128579660, 221917257, 544474030, 282443565, 92252792, 986956661, 337155475, 858532998, 80484372, 528893305, 801294870, 60291982, 952617324, 996827571, 998796880, 944318572, 544525289, 578532461, 534988074, 875565775, 53838220, 140211625, 107183450, 816591767, 603876683, 23032991, 295109360, 301241956, 301107275, 550180524, 154912203, 387673283, 696800161, 131789624, 254069311, 550567955, 276436431, 174419605, 451616086, 950905114, 320452390, 683127737, 502708025, 54655819, 501388054, 62097464, 997857814, 696144975, 601832532, 674328002, 848908953, 530998785, 220440588, 872179573, 223939703, 920777017, 98883482, 199656749, 30792653, 731069901, 30580567, 864687202, 558637068, 710655356, 445225062, 521512996, 272215571, 339211861, 424528489, 295805899, 787292624, 282381961, 31005678, 570001074, 790144579, 306735478, 794192860, 752403826, 318150678, 386197008, 44299858, 529050008, 378611591, 8127356, 314513246, 825567852, 701950378, 959176235, 745827370, 991532702, 703676246, 31449349, 440613326, 569650908, 421253867, 401404122, 677135028, 353940298, 286282797, 385144711, 113314322, 107693898, 663756440, 162887284, 796379634, 505838938, 887422847, 551430538, 654300439, 991944488, 348259568, 395360717, 120445308, 599324553, 714793921, 77976707, 82491505, 144466254, 278543027, 124850295, 424510953, 777841441, 234539617, 341744986, 260977580, 195489659, 548757014, 723300495, 808871041, 643772040, 759943485, 893363058, 676270748, 926949219, 351295457, 766188765, 865150097, 347551611, 592112698, 558051016, 613151238, 95014958, 105832930, 769922352, 563460614, 756803588, 505083261, 925562586, 270967336, 832275163, 232597928, 241968392, 389513882, 81294937, 415376924, 935884559, 755640816, 504224487, 230526568, 200155956, 389380601, 611716464, 44801050, 146401806, 691000590, 887692342, 151711747, 99583145, 151089993, 761019296, 954702920, 702524054, 974558440, 556367325, 909849264, 345500154, 819320046, 266417474, 59530039, 373581039, 191485717, 820612413, 667427691, 224616580, 12840638, 264796352, 696256056, 253655424, 675863721, 103722785, 671047034, 319653155, 768223028, 642636814, 614637776, 106856282, 354474186, 886530582, 308449101, 513516428, 174577269, 740770924, 727773892, 192088924, 827403631, 924325387, 251267394, 627566030, 939882816, 835337507, 173526786, 953499757, 917390368, 950240045, 272723423, 843924938, 51552042, 825388908, 779707273, 352288039, 934433876, 418755913, 967180594, 953770786, 210859924, 349186812, 458179482, 100305747, 101547526, 775531664, 253793745, 564356228, 285230071, 593983199, 983301497, 499052724, 627185405, 986198050, 857412383, 992512664, 393174002, 543514663, 837798460, 248081279, 519176381, 371406007, 328927014, 840728318, 123081289, 274976193, 423840560, 2225477, 668820258, 305842183, 695351429, 112293993, 499483595, 428203836, 186037180, 290944764, 415356981, 94398010, 689781729, 770573549, 287419102, 405682794, 243540918, 472328033, 70035397, 780358734, 718273097, 598779918, 16043589, 973632690, 619250067, 833240826, 552237187, 93137254, 602291945, 787007210, 302663075, 154667191, 537908167, 198757782, 58587313, 735833574, 128224406, 112673785, 478561052, 266070427, 877026739, 542489264, 204227384, 821471097, 207778079, 997498763, 151231557, 927081060, 920473677, 365094269, 159532403, 434861685, 858054751, 323886309, 394434268, 49901571, 86001227, 74483994, 957369807, 188220023, 22459593, 216251751, 6658931, 862942417, 850172338, 291662443, 782326732, 834271756, 967533368, 601019018, 879880125, 637821937, 690373524, 221616164, 877063910, 781008972, 881229426, 917225031, 929404585, 96064546, 488648881, 671720685, 670741475, 462408108, 60817248, 257836222, 262358412, 591677625, 338222755, 161975451, 140110473, 263721016, 750588170, 333791301, 180150838, 586775840, 339779166, 418113408, 955375821, 410677758, 616030933, 967511492, 587070885, 648306063, 339107222, 926805547, 891284989, 799854258, 106780076, 582094959, 713936385, 655903800, 903964777, 51968587, 142320192, 71501772, 25805228, 23056306, 574052113, 143440083, 497745452, 998843550, 79828138, 26412418, 58230957, 690619599, 297032095, 51729757, 661753912, 648827504, 336390232, 230257090, 400036906, 947862198, 876258686, 135133770, 590618895, 119987411, 864626764, 107612666, 978515591, 754766987, 672225591, 94639628, 170910703, 244342265, 414447081, 210003734, 643354269, 582992249, 390505883, 251252369, 620310440, 273701060, 164898093, 714983766, 743954156, 278750153, 855718465, 519085776, 735107401, 471562590, 712753569, 560107498, 707971694, 336113812, 298157748, 301584153, 427069770, 44953005, 652364548, 658951932, 357659605, 721413358, 32108926, 115618048, 574373670, 920897616, 220954639, 31942913, 189336255, 774069051, 252050459, 339989221, 236572258, 663541465, 859364263, 633690439, 381782640, 748898259, 173726746, 412451028, 192222001, 326106306, 722802391, 102167411, 781395059, 550993423, 553777713, 363608429, 281876836, 43467319, 778748756, 725914308, 776129343, 755860080, 678279456, 976874720, 565872094, 141999997, 250519009, 441586558, 500983751, 749803394, 63556107, 22738804, 309858397, 15358229, 358981331, 633657724, 440726909, 28431541, 657422571, 592330081, 572637125, 482291682, 9360301, 872346107, 743341423, 87379793, 322839812, 668409060, 236584975, 907718373, 711291879, 481224321, 958172333, 197220472, 695947102, 52791705, 730262568, 254185580, 386864563, 653577178, 113670251, 295759287, 488828824, 716955596, 243210998, 346501369, 821076608, 132757075, 573747037, 823473820, 927897562, 869547288, 712990389, 448900886, 342956013, 62946866, 470700815, 778713867, 591184071, 874254021, 850048762, 862801087, 906022336, 381745405, 888489701, 72579896, 674193275, 523047089, 57562013, 488742855, 723796291, 502818880, 70231012, 194873222, 248436665, 881011336, 493388234, 986871195, 266001859, 805574107, 324129304, 291286451, 939365850, 614937137, 799592506, 124645474, 591165664, 264480988, 43946154, 365319517, 254900857, 395105462, 661158006, 623284071, 56606772, 438868503, 899964353, 610261048, 592220551, 262264227, 113867784, 193973750, 40568260, 790754049, 266615786, 417989549, 444677017, 728938005, 420210665, 231476103, 651387430, 372132429, 733363133, 643252984, 545154801, 584039189, 315191527, 729476622, 347283407, 706782604, 836868755, 369557298, 722335612, 596740966, 993239046, 705077042, 522757734, 169234038, 722358125, 312995249, 31523089, 947857746, 845743937, 579326153, 442766549, 29389217, 905422346, 409334484, 269631386, 233631683, 225724529, 923951812, 889956534, 203715968, 829383665, 62973801, 386543036, 526031756, 297744561, 345911153, 273523115, 759380623, 248452136, 29734461, 319129446, 730199171, 754935454, 364320935, 659271948, 955157818, 651552939, 70070951, 426377554, 158188832, 737182146, 482712249, 627256339, 423009123, 10595346, 208226972, 725354163, 891720318, 285833075, 742188228, 739170820, 829286826, 500004038, 176466978, 34633101, 491439998, 47563491, 895379997, 72325094, 979727784, 525918634, 597037233, 1253490, 438491495, 383927229, 348915987, 270213822, 659637193, 121572526, 439308598, 956950675, 182997059, 543564241, 416640645, 963245065, 120805278, 602403709, 751118608, 232868269, 967076615, 303760989, 963744205, 483762681, 714566879, 249844387, 967301203, 121533022, 173534810, 924948108, 23115684, 204503280, 689877536, 577238466, 291860468, 364110721, 894053981, 535662030, 687738242, 351387870, 239733208, 919563012, 351181369, 854385366, 527299716, 380170568, 154063459, 16250013, 385313238, 620445227, 347477450, 294600438, 149666332, 934544422, 530343938, 229559987, 320684072, 471431174, 771536056, 467021111, 474014384, 383660108, 117813690, 206262236, 588464004, 834122700, 869784968, 520256984, 797257253, 62929844, 312485086, 60133028, 573082857, 961228181, 281469050, 628843197, 429330412, 162744004, 646175539, 1119615, 459335628, 629751548, 844476576, 212719391, 118526553, 69086729, 7888637, 258349798, 182878265, 97088305, 736633711, 229899339, 657544631, 716401531, 28103941, 822945063, 781537595, 477796317, 751840789, 264327691, 554124683, 693636310, 815951077, 737246147, 486654437, 14564934, 508572660, 427849, 93341145, 109271727, 191201461, 964702303, 596816148, 443996292, 136131341, 487972056, 91204483, 265979813, 502920362, 810652210, 478113065, 810938198, 951164190, 967510479, 788860727, 650928434, 79677902, 545421232, 181472052, 14673997, 914766164, 13900403, 224019226, 67467365, 60795978, 518290825, 717627223, 975622168, 950805529, 800048952, 781975241, 435302116, 920976938, 222344303, 92228384, 357481763, 763469708, 551757242, 529802867, 127801267, 873137987, 57456621, 439295858, 861592037, 584621490, 558554354, 817920676, 681672740, 453879759, 305645955, 891782738, 216672678, 942240725, 705006341, 99312050, 266519177, 186216016, 564809469, 736787018, 509886679, 869468409, 267862731, 365288612, 940687816, 190167702, 803221656, 294247907, 816607721, 360314708, 816463969, 242280715, 103002439, 647240311, 723793354, 708057443, 918857346, 872745297, 737529797, 213492298, 401841981, 197781877, 18314148, 561996337, 596215117, 269788807, 915492200, 629275831, 438737245, 641655389, 129473076, 547024393, 289350393, 284817603, 480810091, 344470024, 967164418, 155882593, 240184933, 463033732, 792336817, 672727114, 741774492, 936871003, 799531606, 577861735, 988296746, 569271364, 107811251, 706334064, 700896456, 856812505, 483560612, 741885122, 842665023, 805590109, 680494655, 190087409, 22835001, 408769441, 785450835, 655472403, 157232143, 424900489, 1428815, 883888354, 232631142, 163571550, 827219382, 805423309, 400736232, 471821397, 678960641, 14946273, 297619210, 753401614, 696104761, 973608492, 618241016, 916517496, 246092140, 986113339, 449436269, 796051684, 523098985, 650155079, 968339192, 397789538, 747677460, 360278724, 232528717, 859384884, 780813321, 284468717, 59629660, 272186618, 47149208, 86189919, 489326197, 142622130, 528676838, 889214301, 124532962, 73805032, 268027056, 564189199, 643179526, 346409773, 704099365, 703682192, 883495791, 638565274, 506041885, 904792883, 950423991, 25595872, 296701822, 160345722, 799298124, 820023780, 64056660, 523187286, 839651709, 635754596, 377451821, 933403465, 124438534, 647769566, 894993535, 255206134, 509238907, 801489120, 502358555, 893148781, 340278576, 253716224, 884287930, 430536841, 56703288, 134109891, 611372364, 606526574, 514880499, 281196454, 39118238, 496620646, 73564383, 2045781, 845082077, 267046152, 366291041, 277249272, 644064829, 648372340, 24754877, 422260005, 72568596, 830676766, 673380800, 448823683, 340912770, 336532722, 35338522, 842824103, 901938081, 509822792, 579791271, 709427380, 868948900, 997416744, 380050961, 789382894, 537263910, 281279593, 519139875, 356376464, 47450668, 802137427, 584325278, 391760856, 631574623, 163631814, 111067538, 395021283, 839469472, 826685366, 875327254, 221831810, 173890589, 569934909, 492428303, 108646901, 776875922, 972082680, 162499885, 307668300, 67677843, 785210953, 13668041, 946792292, 654377006, 232857064, 601398917, 574414818, 48402038, 634501201, 278974905, 811584033, 182486049, 280613626, 474327105, 695373979, 410639160, 71958394, 697710470, 361348190, 65335366, 444062089, 283877944, 458743115, 771705543, 889517223, 730069642, 221797191, 825303326, 391107255, 806963926, 449451927, 56089637, 909463275, 651971216, 353644255, 94916656, 714005232, 364392261, 547519371, 983798782, 483362481, 199700172, 359032329, 550141309, 975703808, 666386277, 737548896, 584729075, 574642655, 860877794, 429374975, 173541631, 214964176, 935835921, 722077452, 718178829, 359127597, 515885040, 296305929, 751014390, 114983681, 896003398, 347907595, 395202565, 624300244, 475798849, 172054989, 405255293, 534357038, 146301815, 817211577, 796278904, 62082228, 532529227, 437232494, 153775651, 531052977, 897452785, 477712354, 240784643, 470012081, 910541507, 567847581, 118037769, 22060264, 699421501, 712455587, 993185775, 402240159, 857590714, 307532047, 853741297, 381254894, 88270740, 407461014, 94254701, 701052201, 123255635, 325947910, 732068367, 126017248, 556424519, 645579305, 377571373, 774828982, 328673431, 355901675, 268234906, 854625516, 304196401, 116349503, 870905463, 473340326, 636759474, 850205857, 787689375, 874006619, 782105927, 758929485, 904557879, 539197176, 80517907, 600289406, 366794950, 516315995, 350075455, 59845417, 325469171, 507518298, 295261308, 186598941, 348053987, 706289713, 808114633, 317197685, 493548718, 644216752, 979690156, 135155851, 290996686, 245488300, 75736133, 196225048, 588907915, 63930052, 294235470, 296867975, 545539171, 839390727, 48633409, 538805545, 454578993, 708262224, 666406987, 581105933, 952684106, 915659543, 837928462, 866632693, 148752556, 877170998, 185555570, 187368999, 691548607, 844878054, 841017640, 63452495, 793588850, 545058075, 302068802, 174602921, 424715309, 722757680, 591693806, 209407808, 740141027, 652418247, 21205979, 195824769, 442702605, 872376274, 77017008, 323605836, 631443149, 623278404, 227262090, 43130591, 913592143, 217789247, 279647811, 938394328, 527793598, 595053355, 724938793, 217326614, 403445015, 25532656, 592239841, 927309624, 570210233, 826108064, 722287683, 324254064, 317202445, 131103538, 896663107, 590619181, 98501759, 435957877, 407867899, 785324371, 826888191, 373490561, 928187274, 65121529, 768450279, 662175583, 972732993, 689754817, 733883467, 572433702, 999865442, 457517042, 408951853, 997820839, 818342470, 198420266, 50481007, 102547840, 81100718, 201101185, 776008358, 827774931, 94774976, 537896954, 361166401, 645808838, 972739634, 529808788, 584756322, 93751597, 337896177, 35927701, 843934946, 534021463, 782345690, 268485641, 312800497, 956899137, 595545090, 378742831, 150299769, 604479316, 6111559, 242140679, 986658238, 857028141, 470103712, 521246039, 1206572, 170978346, 692057147, 450947426, 911033537, 445478876, 394709266, 532247027, 280375281, 820487896, 105207321, 937025196, 927519840, 830234939, 788048149, 875723770, 99053303, 978528135, 850350575, 691196852, 900166361, 360710102, 268331617, 516468232, 238024446, 723010707, 717719779, 800802601, 385452281, 892466786, 796627760, 462173604, 469222129, 596482971, 815980398, 448828491, 374170018, 579274025, 585309314, 529025641, 21484839, 754656326, 598517323, 765241878, 668590316, 150197314, 847436458, 347942147, 474974548, 882735152, 536163114, 869089128, 767671456, 803171036, 421485242, 59612141, 538673456, 964244387, 93996827, 222825415, 665001341, 798897502, 663990172, 650350901, 53664039, 516894341, 257510729, 247765140, 589927162, 503307224, 534305866, 951876540, 315923406, 492888505, 410295720, 561554848, 797688707, 837240079, 168327000, 107309626, 22353151, 786902000, 898255547, 296648999, 560934694, 694211945, 96477912, 3669769, 473702283, 356673289, 957604259, 799464580, 836732947, 835214815, 718137918, 19374895, 635815665, 555800761, 597287525, 899222272, 189391537, 475193476, 616732875, 37621319, 121489398, 867910102, 20855178, 142429321, 745269930, 621897377, 650559613, 463225670, 950836285, 578835712, 535313730, 307526338, 47527675, 3533005, 632764154, 893819029, 66578746, 770487183, 47130177, 120271116, 938492701, 483647907, 956885313, 383716011, 941866472, 192931995, 787960595, 923447369, 382616089, 861500718, 281158144, 661084841, 349218552, 188361441, 75102744, 324498333, 846920045, 28845621, 224005854, 958707590, 912793218, 785835703, 725639442, 184237717, 774244317, 548255498, 693332044, 628808591, 959636655, 958311127, 939146175, 708886525, 513165677, 313436627, 494736671, 526812940, 678015008, 460257599, 836010513, 154357106, 625912439, 421229738, 55951323, 573392089, 57061417, 389255502, 686906384, 498788030, 814180755, 252948531, 939804987, 752303815, 53909635, 775868636, 830440088, 232400900, 338868567, 676319977, 282397759, 521012445, 152163299, 506001548, 607371717, 378989209, 432250053, 36286821, 769296018, 504260135, 543742730, 129934092, 367419982, 789960940, 229222175, 42189780, 456385978, 504365754, 624204216, 714073216, 536217608, 671368979, 547946196, 323745992, 985082505, 912950206, 258641034, 507608191, 646352877, 58521971, 283732034, 212896505, 71680601, 24625836, 809686630, 843588491, 483107929, 775095540, 482836543, 315858264, 164119128, 258079306, 842883635, 52923925, 746395361, 993155668, 907931041, 238917278, 943025427, 681671456, 596418830, 743289852, 809012756, 24571235, 631716840, 764151947, 433462061, 880706492, 357441226, 413850113, 138736616, 500693300, 697393163, 821093756, 626242223, 787819966, 381064479, 509586938, 228579830, 821679743, 730894938, 555761402, 770421453, 716434546, 918122412, 334242765, 401664382, 623323548, 465254441, 162447404, 932815885, 965382344, 891555791, 255082036, 375969108, 950636069, 983189641, 378173311, 52573390, 650142418, 982256994, 443682143, 247643659, 679756860, 410616901, 68319351, 107362669, 523594593, 388593708, 708757452, 373955785, 969164217, 72812237, 249985093, 87168275, 401718756, 475620170, 189564414, 19574942, 56060636, 557088232, 123852003, 101680522, 512327747, 470773045, 804028110, 905074534, 817847144, 78907144, 287001307, 523101522, 596144520, 940176675, 451492945, 729231384, 168334691, 378996733, 697557519, 897990902, 57479189, 980603873, 830969557, 56643110, 653899069, 973536564, 65548762, 687267076, 999555960, 140811332, 96759756, 990085874, 536829929, 530427414, 301363726, 550814368, 211031293, 514040843, 668255735, 464715234, 914374478, 568594562, 547697425, 142381245, 664095624, 542034533, 599260227, 208787039, 430478178, 1901043, 957133817, 619144063, 667293697, 152737069, 558835375, 998240327, 20919229, 278293823, 941888758, 849707178, 547130287, 12315257, 564719416, 5808845, 346715048, 589804000, 831878458, 11837854, 989265559, 356432357, 247832014, 763731429, 617252076, 115836420, 608405494, 647909382, 119666521, 103124803, 374421701, 503951735, 59475368, 972498929, 468596447, 90810908, 55216537, 362317252, 156541955, 373968315, 559509132, 765496655, 903105387, 165225030, 446305479, 448484195, 990066521, 923117455, 153204165, 129088537, 470425245, 434417803, 624855229, 303074898, 511174627, 305991001, 733317651, 234554084, 43796977, 973811833, 26466208, 611419446, 111760345, 893573557, 806935792, 948601341, 47468969, 554075070, 181127368, 470669046, 64051768, 921808246, 263802239, 994506385, 793176606, 18532048, 817381537, 16329382, 448615304, 680720897, 45121596, 318284576, 584030794, 399563773, 291830076, 312555357, 713522538, 408590852, 225124363, 854616821, 981945637, 309600402, 606889734, 5637693, 18304272, 168819764, 66093062, 170405242, 992278358, 687257285, 695591104, 224631768, 741114099, 934834771, 444657592, 265715821, 163809508, 268613978, 232883504, 425960621, 880840291, 414662471, 544746236, 971863892, 468782179, 923624547, 87241799, 859167687, 374387972, 405822268, 482789304, 877175890, 528020272, 95717776, 515066666, 5661940, 728640439, 754690237, 92923743, 539575692, 310493127, 814579501, 124055270, 315368293, 864703032, 629068724, 380745558, 365623199, 5827209, 427110588, 241200957, 540910306, 116043043, 269590632, 749484381, 376140340, 978885863, 417716400, 828586745, 425629647, 464560992, 562002956, 91299940, 805193554, 497298607, 39772937, 552867122, 290224033, 210945804, 550028335, 81171184, 728936463, 754067963, 437610537, 590497958, 223035169, 45404270, 148791411, 394387547, 143604048, 86414520, 815029160, 667768656, 616656901, 208352710, 711498025, 770850644, 54747174, 762624405, 676068853, 341217678, 701455687, 624789989, 811229164, 554900350, 267872379, 553483722, 893703499, 136444788, 732527786, 859762273, 618750479, 841084963, 893545502, 90176780, 973442234, 178366420, 256522328, 893417992, 216331323, 305403837, 932555406, 803103063, 932578986, 541075978, 781680725, 38275944, 803971252, 866787178, 380875875, 32981102, 105014563, 931474280, 417744106, 188954433, 903124332, 455674192, 498990554, 394592099, 66627341, 6180776, 980577504, 278297854, 988303797, 403442988, 806614674, 225413154, 929659053, 595084761, 522213835, 253603207, 120083210, 690667857, 101368480, 968445519, 116441793, 638573728, 413233316, 121160630, 425559558, 732023072, 208854584, 517394750, 727760999, 218542663, 45665071, 641469519, 915925611, 23508259, 897908457, 687378138, 696391798, 628519267, 278306633, 707034941, 598544185, 467482528, 273382676, 213726009, 226608443, 510107210, 491994627, 29441924, 295410470, 305374166, 595180995, 641685156, 644145150, 699091218, 940532453, 766590666, 895365139, 518178338, 23299416, 106405403, 571381207, 582292521, 380052160, 856572264, 322131608, 819296652, 849386644, 904120492, 442231527, 663290319, 783364802, 334971974, 916515126, 880400578, 420519342, 354143891, 825610063, 96228593, 782778425, 36057410, 807755811, 612015380, 168865563, 538670235, 75791290, 34835301, 278086492, 458908914, 780371304, 226840985, 509261940, 747294759, 895321485, 893521884, 199714389, 776500141, 180498837, 575770756, 455149403, 99963456, 305037795, 600945257, 740223827, 362646136, 331932108, 892767685, 944982135, 621489854, 456312081, 938661908, 808181523, 302408532, 53948291, 918699047, 705208452, 118328474, 584609922, 3855995, 659137873, 767971462, 303070052, 170198304, 943754754, 819368007, 988419637, 57256373, 740101435, 145357089, 355409283, 507552156, 932349910, 731760110, 921676800, 137195679, 936303874, 625954583, 968999469, 790034376, 957452455, 313446667, 590817412, 852159993, 699214507, 224273411, 109146919, 801889664, 495244906, 134854579, 268016249, 707928762, 819793825, 475929011, 863787009, 130389973, 209095520, 871139387, 459356463, 994895502, 284440683, 86090192, 814313986, 98739619, 862607429, 409458903, 865901953, 779129574, 829740389, 184898970, 565261835, 522306288, 103760875, 800628288, 448238440, 37138864, 23593016, 190762927, 15701713, 464027619, 455132617, 604907393, 970608805, 61293634, 53928008, 431394516, 310196710, 933826028, 467232135, 667350424, 335035604, 515855097, 697867277, 54984315, 391983482, 328395586, 251145225, 863794634, 97565404, 971729905, 763563013, 354048014, 757198833, 765214887, 885890351, 648595090, 690199291, 107214863, 163217862, 529383258, 811417026, 819210766, 659196905, 369331536, 108977903, 349553862, 790414061, 396697274, 363325450, 327305319, 559471324, 871221532, 477785782, 354161149, 990217719, 348837620, 309611724, 862242079, 397962406, 142961948, 244509781, 624851695, 996861382, 875256683, 545148143, 225646399, 740060257, 353713758, 640618767, 260624143, 754822791, 98652192, 694525354, 121614204, 11612764, 870386523, 86642858, 832780632, 304804871, 357382015, 794524990, 969326746, 516213812, 607155279, 182283448, 318970225, 939755489, 874532114, 999697860, 997309426, 472557058, 443187259, 713469498, 425777103, 95177149, 998924688, 626812254, 397060259, 919898708, 521501046, 129626112, 156186722, 574295788, 250002624, 340666707, 749206106, 495414499, 78020226, 772290034, 787707334, 653473077, 797286807, 251895784, 770264888, 855920456, 710132820, 500385234, 629100460, 265559566, 972580306, 933347892, 606484099, 45443317, 85089213, 892085992, 884950211, 24938107, 993149547, 556390451, 325459652, 801558409, 178116387, 565294918, 454566099, 814792580, 315151493, 783637850, 396020517, 773893710, 239568126, 235693699, 442755467, 240987976, 468477054, 994358940, 235162395, 976184102, 632357929, 519509068, 435334498, 873652813, 728316272, 855715466, 928639210, 427797531, 73789579, 659752264, 49023225, 164149389, 176635802, 154364457, 825568255, 809479909, 149718931, 320071960, 855633415, 210674953, 484127433, 805383942, 233877307, 448852045, 733049424, 187782139, 356271770, 565597010, 876775324, 907545382, 90001322, 667967532, 475011002, 806197273, 338646026, 608724463, 987540658, 42466771, 553000296, 72381452, 737305182, 332861429, 160462848, 847383672, 576302693, 47861800, 162601912, 322811093, 215950220, 65428160, 752861773, 682082974, 710425236, 602859585, 438822725, 393232565, 682956926, 747500370, 994673642, 617979877, 271339811, 247224764, 752096724, 876430953, 11899254, 465454672, 866059624, 968398668, 579665242, 27146612, 749763940, 865545682, 711405086, 450848881, 579977880, 487633244, 106813059, 697545030, 518372418, 911343857, 757714474, 250814709, 950415578, 310473690, 651018128, 673967075, 742411343, 628973523, 898336676, 612025879, 719256045, 656208550, 916494597, 854256865, 372208696, 612403430, 349840234, 881576298, 110930348, 89378906, 38080217, 619104723, 152243846, 824406728, 673649884, 654093757, 883207414, 183072448, 493003196, 122022724, 641997183, 134169783, 734773893, 926013012, 351364105, 731673433, 279192243, 148658601, 545178716, 427747991, 906492413, 977043108, 356972133, 107563071, 261037535, 359183435, 591148574, 345368609, 820043677, 931106836, 872035820, 102484111, 581070439, 643260451, 126106997, 879966982, 811595632, 256410725, 90947920, 750895360, 77322771, 638969439, 841730416, 163294853, 956912894, 587097955, 116166183, 8845222, 440387449, 803739267, 676661658, 237026484, 482237103, 593147314, 721400219, 729100504, 141805034, 91438899, 412904983, 928556719, 504019727, 408586119, 369980598, 679073549, 617381323, 725530303, 424363395, 428562168, 820393061, 739888336, 35670799, 602047458, 319945731, 449257369, 462481716, 497233695, 41456287, 723103253, 135241060, 165572223, 773659773, 934536318, 949499478, 567455091, 927169223, 285706177, 607604309, 369397231, 197192979, 95065252, 427894496, 933402591, 99439073, 622663082, 265423967, 738336812, 713870421, 770580313, 164850171, 227809813, 59684670, 965559985, 62469515, 833373235, 591870749, 460458609, 948232831, 445681207, 364622836, 966319561, 925440557, 592067802, 310096430, 812746709, 533933634, 308459228, 431276641, 170159199, 148512880, 590766228, 903525579, 981163176, 899634160, 583807110, 842685873, 563290202, 444401100, 872117754, 524134995, 204376238, 560771833, 956956078, 534218966, 437867466, 191144989, 736283146, 541608636, 424814238, 460842328, 728795300, 902746668, 360152615, 120264116, 386646222, 64865594, 252625082, 779729158, 887621412, 646379539, 195156464, 570302675, 614773064, 580517378, 120330820, 228415631, 168082007, 403320616, 944311666, 496559196, 810202606, 744561256, 204373272, 237210500, 297606078, 240111274, 274250, 268460726, 546111470, 556372357, 427031701, 764565458, 630182628, 573463013, 839694916, 533925831, 138355152, 97742583, 786035307, 869666321, 90990689, 619823506, 561301354, 716913445, 483539151, 305094395, 645209915, 632477715, 733031609, 725623304, 528253606, 813830704, 16768231, 522858685, 381749510, 97177616, 924251166, 773983254, 429403313, 588027334, 713054238, 503776138, 209445811, 593460990, 248284608, 351372515, 383774208, 244384301, 799863342, 29943714, 74552905, 442262534, 59691909, 487342671, 368484759, 980432440, 306936262, 166047338, 770029420, 244363679, 805007873, 674466862, 727761333, 766449047, 507831964, 274375128, 640245116, 980616243, 465923433, 777151878, 655725993, 655471391, 437059324, 230382405, 61325531, 466983513, 955440324, 661701336, 712604877, 442908169, 940248174, 568802928, 439746442, 791693494, 676169829, 276783621, 715847073, 893666447, 737403414, 313460699, 555075596, 69913114, 616707631, 501219349, 807284493, 355431425, 904562860, 814317461, 639973534, 798508943, 889541065, 95241704, 17294787, 908332215, 235138517, 221730952, 720249237, 122031642, 652243151, 909065723, 208847459, 75316948, 551095230, 326971053, 973445060, 11420993, 664214616, 779976382, 675577048, 900308200, 420837649, 319648840, 125576596, 998699406, 9798110, 244589798, 358273953, 116893548, 673021657, 462822565, 87016896, 342194587, 602890161, 682388546, 769619208, 95230424, 394778262, 111849353, 202211103, 769467527, 310554035, 565768153, 520405489, 185143915, 403350515, 411310737, 38190128, 219194604, 487625023, 247453768, 684373216, 318016633, 610994322, 664290343, 859866901, 351328936, 196507651, 189360664, 953111028, 149776873, 217424809, 775799505, 210286088, 875544883, 469213261, 82973865, 623156242, 841984025, 992049850, 348107512, 306443657, 623812872, 10623407, 779260107, 325434507, 663258218, 284015252, 549239098, 560984020, 654938147, 899382267, 888436538, 19305141, 74940696, 148363523, 807447417, 973558635, 476532136, 865487040, 272407631, 655630501, 52061733, 795625494, 513146800, 374959316, 810153941, 975591313, 480182889, 898378300, 166782095, 148644558, 974607307, 323486395, 854429988, 190236779, 599218310, 893598001, 845383157, 214414484, 445990978, 382139423, 806863152, 495051380, 884115121, 407334821, 766286808, 405103311, 411703362, 370973434, 611024242, 33210016, 496927953, 593192723, 933782305, 893206985, 870062899, 34228923, 335732358, 267334020, 829588831, 366730218, 499012303, 828413860, 389631637, 855865996, 441944288, 694260849, 9180457, 133293314, 530796362, 994451356, 811035272, 87596036, 228239287, 66121526, 76999727, 975853232, 661592784, 7157673, 754303622, 642612073, 857950145, 158426810, 171571850, 66366491, 361225197, 729127412, 194358394, 348624339, 47520307, 394691079, 580799653, 812312702, 175124540, 950829891, 826579517, 359195428, 730778419, 108575628, 427459159, 111268217, 483725758, 265700593, 630927720, 58191940, 364551355, 374740417, 261047376, 516868920, 302031156, 975663522, 528730608, 964206454, 698225241, 53863366, 28561846, 127681440, 321266752, 192787526, 358300595, 904984245, 463892416, 639329024, 174737038, 84936967, 389410408, 580238546, 26479574, 451503345, 315852356, 514982652, 334695497, 470942614, 771942501, 693428024, 577652741, 453932381, 876546717, 223202380, 211300658, 587177273, 26273627, 945425172, 323120808, 49182317, 673038725, 662343241, 58758502, 468497766, 404767326, 975931226, 789879238, 937961440, 433052760, 227779378, 854779405, 945841174, 885989513, 268143286, 254945316, 856766229, 689107275, 433854672, 69822338, 602346551, 230945224, 618184599, 832598984, 451112799, 424790354, 487632330, 582629664, 952196338, 197506451, 131475977, 993122146, 625633681, 68373577, 846339868, 756508912, 297098605, 220073018, 276928389, 107184998, 969172180, 202769283, 170878744, 140103125, 64413140, 719202931, 283927707, 976564097, 559368709, 215549418, 892477546, 240986347, 826672270, 726825377, 526767845, 426055934, 914350974, 33342675, 991080260, 80139223, 212122515, 539480169, 211517330, 649681681, 673933201, 804130678, 538082172, 719925797, 240423191, 659825404, 183897574, 662232042, 504064396, 587381503, 743541302, 981660877, 363267644, 78876861, 369112785, 337625744, 804111731, 561043876, 581497287, 699330723, 595662853, 291864412, 430704250, 775023669, 744870078, 992671369, 813968163, 293509551, 878280305, 880513372, 647872909, 573117395, 395240038, 766261535, 961532976, 941591900, 401203607, 712549829, 249369013, 873792874, 801483222, 329398569, 65174936, 659771060, 692707195, 846411902, 312976913, 224085188, 505354458, 701948221, 742026269, 432627585, 577936443, 463347295, 961595081, 637712385, 595582740, 195291006, 124569602, 626435158, 950685648, 725371946, 502356972, 227215932, 282530161, 613603139, 830382434, 945729511, 856444413, 159320705, 651969654, 962061199, 403645629, 476790246, 348714860, 719965958, 762314695, 498534288, 110256931, 801717234, 255055712, 461639814, 226102296, 179450993, 55316122, 557999971, 933291484, 356779828, 450488582, 180199575, 166409116, 703691314, 787965127, 573472191, 991889950, 710490872, 261889876, 203158524, 723839812, 393684365, 76843307, 877287641, 530174659, 921573337, 771784570, 357938435, 270958405, 832015711, 697545459, 955252552, 657570840, 275434815, 884994725, 609012138, 689543558, 245758129, 702420967, 837070213, 362055582, 14159338, 734897836, 662102462, 33082345, 811971998, 793587768, 984595443, 841202834, 810316703, 100859587, 393351803, 128488539, 635757568, 494933873, 661214914, 634600896, 581836243, 687121779, 281685145, 551289616, 892917001, 973541694, 609710351, 263849791, 663630335, 321850502, 517992051, 755626652, 176453367, 850323963, 145827465, 777307227, 727876468, 856642971, 73181940, 551625965, 827294043, 264471380, 929238631, 404367107, 607926156, 718043112, 290001864, 330278560, 533562017, 154162929, 4110593, 6018653, 383713095, 989679532, 47469540, 862771313, 969167162, 620068356, 830536761, 936047463, 943659483, 954566180, 566788898, 334322320, 227302308, 814518089, 211631757, 892691351, 321579696, 891497258, 986059241, 73004084, 375225753, 665495412, 41523120, 560564313, 61311013, 397725207, 876194170, 192604656, 296519260, 602629913, 460759326, 241280322, 134692821, 575624863, 382686863, 626687363, 65052012, 211056330, 746314798, 672057706, 172250570, 667873757, 190050810, 394971825, 33908734, 228474483, 364899295, 888880283, 603979224, 908489409, 709707775, 361674213, 918789844, 475457209, 458233649, 141163886, 141369088, 50798026, 63900555, 463178127, 476389833, 362003658, 275724540, 327453508, 632456207, 170221614, 287395486, 17817613, 628356326, 394643194, 645648841, 31312362, 127783830, 502361927, 256149444, 62089184, 871693780, 169421995, 207668740, 700306959, 734222937, 797251613, 213076186, 863501582, 350855761, 38421872, 510736669, 817707483, 381277079, 872128627, 65206971, 161189445, 15431851, 498573302, 358857210, 323228059, 669487198, 682032776, 858634776, 392272879, 501685419, 986109947, 374558482, 804011978, 269230248, 962692090, 45842300, 141551052, 871764785, 652398618, 32393840, 634371060, 349374746, 147060487, 453166990, 762703224, 824393718, 776318219, 648417761, 988554891, 939775431, 361529110, 933740706, 289373728, 227234039, 536528355, 41339786, 764442127, 233604481, 257266699, 381149365, 729158449, 522486578, 546019307, 146287852, 930694116, 90008755, 424330431, 487445174, 572648134, 962840614, 494019937, 321825151, 355020886, 138633544, 275109357, 436280664, 592915588, 939632589, 912578005, 442127724, 72526311, 411577835, 395949900, 529004299, 447942720, 885525703, 937358782, 718151020, 9208171, 274479847, 439889477, 538973743, 949210202, 94432148, 156071740, 942306036, 759100257, 591148742, 230735595, 278776122, 725413435, 409225743, 476050567, 658824088, 442298973, 816794040, 743565699, 919839227, 788376774, 103745504, 318415091, 749420093, 275600838, 369300363, 163374543, 643770620, 907192686, 78989546, 41118799, 874561775, 48435351, 213572892, 780166819, 363991396, 144137356, 248528083, 236491112, 356743157, 845660075, 991256474, 318146952, 96593683, 103060001, 942914845, 123067998, 597920777, 769162210, 838221314, 104016786, 835219687, 350548880, 207584677, 964063259, 481716124, 261928649, 622664897, 291628851, 4070510, 126696335, 667869101, 23733622, 298421648, 993439682, 888172374, 806469111, 112276310, 750306965, 763977681, 700701189, 775420167, 568977404, 725713149, 334700146, 294821454, 740134296, 12467748, 527484894, 299892101, 34453278, 922337396, 551417214, 474082976, 894650308, 629637355, 527301238, 51987057, 634869252, 119642258, 538143231, 396625006, 479612167, 284813651, 308045758, 760574246, 321851894, 69874748, 981626676, 241441187, 395157513, 123725985, 456561299, 819607006, 488597475, 963084577, 626599924, 416875721, 920503144, 806638202, 44185495, 694641742, 426040986, 576822688, 587890609, 874085990, 245492986, 990588699, 902324428, 478166465, 630163117, 652322655, 691774702, 726041102, 997210045, 887434515, 925781915, 395284642, 467986985, 653984645, 160684134, 115042867, 984616555, 224037035, 235668566, 604594754, 301123944, 109995806, 803007829, 476109644, 960607613, 641402975, 496486832, 636084305, 234102648, 883875240, 156582557, 757602118, 712936604, 101899289, 898613904, 57455409, 398264593, 194457379, 3075162, 81109220, 89948470, 32539664, 603742698, 677356359, 542612475, 698202203, 319679279, 32178710, 124184170, 556471759, 415989399, 134821426, 654456179, 81524781, 472360352, 641340755, 337575578, 303948539, 227446907, 313849217, 659440278, 712740755, 156592784, 706675632, 652694438, 451049965, 560523017, 656146355, 601360187, 420886154, 411525674, 283151623, 118145294, 325909968, 168681856, 344136304, 777063399, 19395518, 942487837, 222120838, 148330985, 1537594, 990387959, 874543287, 118046944, 603772537, 483090057, 922081316, 130916018, 703568136, 941237073, 720371686, 425033383, 111652452, 768436390, 225904196, 262856765, 270263702, 933939341, 63977023, 678541383, 493201842, 65591572, 622650188, 626153602, 485340516, 768268355, 842940195, 286532127, 847767297, 679552179, 615095193, 108427237, 131794833, 424098449, 102032942, 178461411, 398451121, 250970009, 157981278, 890426906, 530615092, 778917995, 976838595, 32801313, 87015558, 524272063, 468666664, 629438017, 360710690, 484051057, 589142096, 621550759, 746941543, 65226776, 699283267, 845541591, 232467648, 340703355, 485821337, 966641417, 617579938, 911785189, 668269633, 601857977, 587109096, 157208720, 727643271, 376030472, 850263867, 759904130, 781907744, 656734045, 43406179, 543601073, 874228208, 83335087, 857667271, 634595907, 755801743, 991328532, 770772534, 51335257, 67987993, 569243021, 405090906, 811952624, 465160579, 313196346, 40954909, 267349697, 854908705, 84213508, 549029513, 593732381, 887617779, 318010086, 868207622, 546019321, 804252734, 839408917, 764936156, 366013232, 642739538, 206744394, 779517242, 196445227, 935776326, 596600096, 113749095, 449377795, 821590621, 234282385, 155750006, 3210504, 931484805, 265654853, 488383667, 408803783, 183277731, 66120858, 441697997, 716228403, 912055686, 953478742, 770747172, 618371798, 543004634, 216042791, 536738115, 292180719, 181669924, 147336032, 761055082, 708788867, 701926947, 604166552, 605781890, 305262933, 830270420, 840949796, 468953786, 305079982, 211407008, 183837544, 558340987, 244744720, 673333037, 32073969, 253008061, 153676706, 50024921, 868109893, 687985138, 800445637, 235856596, 843153286, 954207371, 372855950, 197660071, 17138960, 378403391, 714168818, 721730386, 860169708, 909692379, 312884099, 699313230, 523406877, 224698123, 522394758, 805721804, 399535228, 79351898, 793558593, 317956623, 469377347, 915767636, 322265569, 113567841, 882165768, 375418991, 375787698, 406264355, 754374381, 65736069, 513294537, 13915602, 311895837, 174364363, 551314634, 230115406, 17509191, 731640718, 184750965, 240936982, 608459212, 759556139, 386427072, 939941306, 1084596, 944622295, 888105818, 683429213, 467941196, 167555162, 800811412, 943520634, 685245164, 365344722, 625947429, 590033489, 288294686, 426303363, 760000717, 686610972, 983654797, 30223327, 172279920, 963468190, 988195975, 930101545, 447318843, 107940831, 279717184, 768256643, 359825952, 124638361, 313620877, 715856057, 918988234, 558561981, 989231476, 21003731, 747581316, 476059631, 513294160, 366960105, 522654444, 92677193, 306088597, 841367108, 139531625, 787389549, 799651660, 550269972, 88698557, 593197782, 232982813, 689678434, 986844354, 761831103, 126982039, 33465291, 460509975, 368177552, 937219458, 235033911, 720237139, 825279117, 190825576, 233886638, 71204959, 332110214, 589417586, 245733294, 898966545, 434155050, 894429496, 585259268, 316509982, 178786252, 624388191, 660786840, 767113303, 764543690, 788631982, 167750499, 742082530, 531415963, 213174695, 616996716, 334574013, 580504278, 199717139, 850009152, 841537564, 196654876, 80266104, 116741407, 667361367, 981984716, 976840858, 460754639, 937996385, 838440728, 214294784, 879479458, 809817791, 445464182, 150596300, 823856223, 448103373, 773219400, 974944955, 502792891, 352686926, 525624070, 619956052, 473238333, 253580407, 687413772, 818788556, 56760352, 209812276, 33792159, 333566025, 39078170, 898679936, 291796560, 888947360, 329867394, 755413328, 47219272, 658943141, 237915059, 615934050, 503022788, 956240610, 80616816, 962431806, 19549209, 460822167, 319645836, 362350400, 710827991, 86264545, 674413469, 295518697, 651762883, 910589985, 605286588, 973310188, 449044243, 519204052, 622339434, 655855127, 568395026, 972546951, 917275994, 740527326, 263374100, 520628329, 184557159, 258614287, 816946929, 447570458, 508861, 275081474, 291974591, 730087353, 851185258, 710364590, 311354896, 631130942, 961147529, 82739541, 961145646, 984697287, 718206659, 21764960, 54510538, 24519650, 721515678, 958759189, 957430601, 746631037, 609729141, 93658442, 360745944, 987356916, 292121280, 497821393, 824333194, 74286612, 313399709, 917396775, 295822238, 607511685, 889658547, 549139919, 708774626, 362549790, 973150238, 292092011, 947383079, 852676077, 160314994, 865491006, 671889161, 489158857, 605942765, 108322917, 18795017, 317117032, 428474051, 339761377, 691469075, 396274082, 309970246, 513596893, 857381369, 901433946, 176869187, 441183761, 209526799, 786822940, 859679505, 651239734, 790121296, 509212792, 438472130, 174189969, 903043816, 270602641, 354054956, 284536458, 429755216, 876290380, 206661418, 866409550, 64084268, 986880876, 953794047, 189532375, 542905201, 646572213, 427516189, 25482982, 883203732, 764534192, 347676473, 562783816, 845541065, 196815944, 588370287, 185936183, 348688018, 34943815, 165931412, 89741939, 76699180, 864208276, 2404070, 332217312, 945088076, 878169220, 524468853, 587817646, 972565213, 426902669, 25971855, 413641425, 560821069, 822281268, 44567671, 153763262, 356458470, 690319201, 415999535, 881209647, 48305157, 975762445, 920708188, 905282401, 577243441, 201592697, 684366277, 904052808, 896596240, 354975142, 131960987, 893244763, 83723961, 342350361, 196034410, 112495163, 948597001, 278089646, 105570022, 649957672, 481107234, 977707439, 895273007, 818563848, 509038466, 359768011, 63504892, 372846840, 527375253, 707243422, 689616871, 102383695, 698207106, 123651426, 948438160, 535497711, 131534098, 16658316, 403169530, 643566501, 161522635, 183850167, 352800487, 947019580, 299185716, 405296286, 867141854, 350771533, 870507931, 27009692, 973925489, 309578891, 494835714, 298561821, 160872588, 6862296, 113446258, 152857019, 956147144, 989695262, 336468124, 892508321, 174059518, 262175966, 662392475, 20747370, 397147732, 178690478, 431528937, 374329264, 963338409, 573516642, 352864060, 483298332, 401691709, 442975669, 461591058, 887727334, 185041345, 661306440, 863201774, 246063444, 329089016, 786956189, 117517976, 961495315, 286759501, 419145665, 913321646, 204035774, 19380998, 565439199, 490761667, 856236244, 13195176, 599609243, 441845076, 611677230, 933405833, 381525746, 822746530, 194403901, 667143271, 793103110, 468159389, 277666996, 997633658, 419910676, 546587783, 340123275, 88942993, 911635474, 306830386, 597275106, 216726959, 639616019, 892079684, 388053367, 729962713, 147117206, 716948108, 589977770, 55940031, 200666733, 748524309, 443198776, 347528534, 407249340, 499066939, 172348639, 457514235, 962178581, 470101229, 198321865, 922990170, 624953146, 552401725, 524837661, 864305256, 282422892, 255562397, 414153710, 721844924, 246288528, 129984255, 588884486, 679412175, 246368085, 653829215, 842883845, 120580762, 178617481, 861788961, 251478023, 449666290, 580073675, 700044777, 938011894, 163991800, 592823833, 71376831, 704025309, 695426386, 391098840, 807107018, 577911888, 50383105, 88784452, 494774456, 520254808, 25103493, 562961574, 69353142, 469096372, 718612190, 512938717, 675473213, 221263375, 800602198, 347838878, 635033361, 310918017, 396346634, 165230804, 310983013, 549187643, 417158682, 202973967, 13352410, 858661706, 651956804, 217227360, 416323479, 942154520, 79712880, 405875331, 456145960, 143486723, 289391373, 381298204, 902258301, 288874258, 148340326, 688795004, 325162635, 640047735, 156613373, 197560165, 737694642, 436223750, 33628984, 734415543, 189299067, 728080996, 391513459, 361945171, 351827650, 222919459, 139184834, 586243457, 986168753, 531487947, 644321099, 432079745, 868371871, 279178176, 39005609, 70001961, 478138480, 342461408, 873352067, 252095936, 231398461, 341674849, 826221847, 22720563, 539680857, 883796549, 115691161, 916712734, 790238066, 460243813, 171187443, 932370625, 183196236, 677091601, 595281894, 647352007, 469898729, 970737815, 574693367, 596676918, 593589709, 490349561, 349443365, 305312163, 548364821, 103120937, 868984703, 125904814, 661716466, 559368625, 40960031, 479119670, 496828400, 597814141, 41281820, 770235948, 742927443, 846757222, 37518979, 339517917, 389103789, 442350892, 645847346, 534448774, 747233460, 177065154, 72186333, 548098688, 854027439, 425984264, 542699688, 602164789, 110406150, 48678539, 991060483, 738079760, 556553247, 124463927, 6024661, 354933786, 168241782, 705693286, 965254357, 864471863, 65635684, 865820111, 102583220, 230197041, 977914964, 694617178, 407424471, 9918295, 773169689, 189595968, 947766535, 574952795, 898693372, 512832757, 130715656, 269481036, 199067150, 86794194, 758819874, 786516855, 434603480, 813137386, 603134710, 184066083, 154548272, 332658552, 781428919, 98298478, 387036520, 124746509, 705276545, 251671563, 93305257, 96479509, 388404506, 508915714, 543479223, 192878197, 618531230, 636837678, 812512015, 708963024, 656659626, 236414500, 883671081, 253852993, 741945285, 905822784, 418918585, 883790402, 794789015, 278860852, 258177663, 111724771, 294270156, 70041412, 979531849, 692908281, 322837068, 659929806, 477939119, 668735400, 893669091, 53667357, 640574557, 114428629, 247205984, 564261738, 325492575, 184244529, 616829362, 799041771, 598895557, 543350205, 7308893, 874277818, 518837647, 539298296, 118357996, 272239214, 75005465, 51690737, 129643894, 479833642, 809478979, 7275918, 648278177, 453347504, 736870103, 818284380, 828669043, 955200610, 847389936, 664743906, 309029792, 483925235, 975891916, 267380949, 775640858, 836256493, 663624264, 305412531, 112949625, 928585716, 339686382, 766743636, 997271816, 424953165, 207370178, 447236056, 479228237, 605803283, 883591327, 994592584, 473559264, 691825390, 59026281, 917978763, 46972958, 425183058, 16064290, 1839961, 303342030, 656684479, 609323398, 433475501, 985528226, 101388875, 136302585, 591960578, 91508745, 184542045, 809719350, 22428967, 902867101, 638182620, 626640464, 793625058, 446718846, 318363922, 420538361, 642814064, 409262984, 383302368, 115376576, 474868455, 705817310, 670369963, 542155010, 430439664, 625850429, 111647532, 313083692, 283134903, 126900746, 467748257, 394877761, 552775839, 915791764, 613204921, 870150479, 214240138, 709655150, 442856918, 170094840, 773014055, 562719901, 509492555, 907295643, 714342542, 767339475, 707888996, 460529712, 474737587, 74092315, 187948792, 195903948, 298823132, 14508169, 516251583, 640486235, 510535706, 341073976, 110725252, 244465724, 720416993, 123562227, 560385561, 984851360, 227622481, 295240153, 7468945, 158115048, 100392990, 161449362, 752302130, 796605070, 463713576, 313737765, 266787460, 55065998, 884326617, 371613208, 790683251, 245621505, 540302462, 493947350, 146045611, 953972417, 850269168, 921316959, 782715586, 51088433, 814291941, 191519440, 766857391, 303594649, 418905653, 117909535, 600535368, 638574670, 860152644, 722121204, 531142523, 624268601, 519013605, 264059325, 182407573, 693056269, 80285468, 1737389, 546519070, 567843451, 780277723, 661325243, 888114650, 901522208, 804051424, 631855074, 781359457, 253006678, 207782284, 864062314, 130778504, 328706482, 914627015, 582085819, 412437047, 31803047, 534517838, 414404348, 908511268, 456893249, 428728872, 898523343, 475679013, 204427484, 81104282, 478073801, 354447944, 123137613, 638177091, 169491720, 708992949, 905194707, 990966759, 342395463, 245669038, 863598950, 100180736, 713872336, 767981252, 892657132, 894825963, 411924550, 318553443, 950671381, 468979341, 479178882, 247198005, 849653041, 315640554, 34744104, 714259221, 333482891, 553377415, 884112971, 337904252, 293232602, 744339277, 501599334, 662827172, 818971329, 518464449, 423765060, 987164669, 897329830, 67655249, 148540893, 995094076, 113235355, 628859291, 384527180, 327414052, 574277638, 28594680, 836820066, 689745064, 243695296, 512265434, 582224239, 687971437, 328485529, 375441535, 235441884, 784336109, 469845337, 58623229, 626581982, 334261131, 808435983, 340514423, 379174361, 457007090, 210508262, 782012683, 665538916, 228001136, 596333185, 833707316, 798250577, 567287628, 713686503, 208167258, 717156530, 754127471, 216674800, 104769787, 270623803, 277991236, 702484016, 674518682, 687690477, 47069009, 37700967, 170492248, 416735805, 143321016, 223895772, 566505207, 325457559, 157264779, 317052570, 73555058, 410542354, 385035658, 118598331, 806283812, 524884184, 828194775, 854201696, 285840435, 904903100, 798593583, 314427535, 202681467, 584537486, 365523295, 691178343, 783458235, 14843163, 198180313, 133694499, 210156545, 606632511, 511482713, 354103696, 757610402, 637722934, 272726227, 572900790, 577424048, 280206110, 12667742, 338940814, 952852312, 720219729, 332788617, 756336225, 447831344, 221190641, 677641290, 944481419, 520405083, 795825933, 410999079, 838950675, 959402275, 81423067, 719029437, 633838321, 4521204, 300943182, 17618854, 724417773, 321728094, 984024927, 549965505, 874924742, 730380516, 487740261, 895489037, 652340342, 763627725, 791749494, 807605999, 982457621, 923625209, 338731152, 163598470, 255261741, 981964233, 641446452, 94909572, 954499064, 299765046, 214914337, 542674416, 852513444, 774861600, 285425989, 706220092, 332591414, 839715503, 79697283, 976689450, 667728307, 498686398, 139248714, 785642933, 665052546, 79560628, 562634815, 646971828, 398229790, 822233847, 11929900, 186400922, 977413936, 300020367, 382923752, 988735401, 694893501, 301107569, 783187651, 874905424, 568540401, 760001784, 8785451, 247690337, 318191557, 832311629, 106458031, 938522382, 380296744, 306935624, 950005363, 254457520, 507775044, 329123753, 474489568, 48507364, 76969129, 310096794, 231206787, 282709700, 83248443, 890306236, 152379635, 509694217, 817590825, 568249284, 639754916, 551779849, 951442277, 171415781, 161547905, 53227824, 792386849, 625639347, 757487106, 68501529, 233007063, 173496805, 332316700, 256668051, 456142286, 759686747, 239271298, 675190306, 974213838, 33277217, 646293016, 51864530, 94745922, 164680829, 103691299, 96208557, 595719825, 642168996, 781423156, 629312853, 812223087, 449391773, 299335997, 740367772, 409546146, 363028912, 405152424, 82331860, 636765150, 229979207, 620271031, 18047966, 164224670, 994080285, 41890240, 69086165, 456483257, 331292189, 373352562, 379986524, 826974395, 268034908, 796122517, 520859133, 887555405, 230634955, 443623324, 72530821, 727627208, 289469128, 192992419, 659499429, 624541158, 567719784, 175198602, 501873077, 223098318, 913787484, 662681588, 205985144, 855554851, 32179380, 249011372, 681976873, 354440247, 204862596, 374048620, 490138974, 735991251, 806215965, 970813983, 451408610, 629653976, 505911277, 670980493, 962313273, 983426225, 589965559, 512085283, 179513847, 970789895, 974407036, 871878168, 519407270, 213787136, 435312911, 957130814, 714462968, 367972902, 149862953, 308663127, 751112190, 390748270, 359604398, 363849558, 540688939, 662202220, 321865674, 474169642, 246018538, 123637757, 818303253, 94831753, 909951539, 832017920, 665494128, 518637182, 146436693, 332069927, 764619268, 51886526, 984183835, 213930736, 96984077, 484826595, 950144369, 872228620, 122262411, 382061242, 593413693, 598899431, 793829838, 388105672, 741172425, 127383832, 879865239, 308593665, 601092758, 901350943, 537798849, 316224106, 214628154, 977268237, 56953881, 356325375, 866389599, 416820206, 421884148, 461199847, 474122134, 464732399, 555846098, 26205593, 650281206, 861326745, 905219735, 131306342, 272711562, 461668834, 595131428, 740174807, 149604134, 203582280, 550924548, 617780248, 346973069, 52961673, 363304543, 960584750, 715409895, 377268815, 243432524, 910002725, 478143441, 145064986, 218402664, 160144795, 654899205, 765880285, 563593153, 246764202, 977761044, 412249894, 853998093, 922459685, 603405022, 473836407, 976134853, 575300962, 656718439, 207732642, 278964651, 207172482, 888351815, 92774363, 742391977, 112911605, 442788662, 986755823, 856015925, 328161999, 108748489, 265852700, 52714856, 440570772, 354597167, 567283979, 557799111, 375549545, 678821530, 82422050, 745534640, 758177795, 579039645, 722894917, 88168681, 353492563, 356037330, 875286433, 572494411, 625028197, 24519520, 32527634, 112322867, 24377161, 923539512, 352967150, 319343328, 218630822, 444908343, 24466634, 12872474, 531895132, 142281605, 709484004, 218268872, 88729105, 114835213, 859412747, 723170776, 265596085, 192651435, 662182362, 123220569, 803241393, 162651859, 524022653, 948733864, 439430586, 770455835, 833151389, 488002927, 570939124, 105028205, 937333404, 970239795, 818411408, 980843148, 82076745, 655012473, 124006612, 619341464, 148179593, 733386522, 295941216, 339738243, 616749417, 995095161, 474285884, 599799109, 537285966, 5674616, 315254972, 833300256, 986417228, 821498707, 873106118, 501076512, 254134857, 788570978, 567023142, 812418445, 134254381, 11306201, 884074756, 736647957, 977428484, 260979275, 133574657, 979267192, 961153790, 299940782, 946333588, 360463820, 164103371, 151769583, 855780972, 216995231, 892099773, 615799476, 769764290, 361163841, 396482055, 64155010, 271258829, 291877754, 604401366, 527642014, 966904110, 45135663, 47079232, 66521675, 392294054, 408670114, 955340396, 217764416, 832048501, 315708653, 215601094, 623923404, 72203508, 74424259, 538785543, 8663837, 288694100, 371031602, 271905879, 177311256, 317496554, 602747755, 356192056, 999788827, 513118911, 901673364, 426288494, 626642654, 311795627, 871488221, 307250822, 340508432, 483905311, 307001793, 570868533, 26331559, 777105696, 69909183, 783193663, 4000291, 720282550, 52663335, 849294804, 678107324, 687435018, 763603679, 543100949, 430095749, 531853263, 307852485, 752942231, 875694728, 963506531, 165332675, 600713028, 379539258, 412393491, 406957906, 70939284, 889088099, 752134401, 257817634, 232847111, 436105026, 776847771, 744770924, 769578186, 71887705, 303494083, 992142101, 360344634, 339887545, 429371150, 45515921, 710858848, 962091466, 552142829, 535274495, 914949069, 76326728, 27382066, 992076983, 343851264, 853878887, 167356651, 231402540, 225117688, 875682285, 830417784, 417554547, 749098485, 179828024, 237503278, 595608227, 802931343, 960180196, 955041070, 431707585, 124615021, 526166462, 3341267, 233955711, 533291858, 376385527, 880052435, 607441080, 182966682, 318276024, 450796394, 502364727, 58938279, 675688443, 95535238, 94718393, 635902325, 276742404, 198387753, 160582077, 815072989, 795188138, 127027051, 654435886, 681393657, 389609796, 976420598, 391413211, 596045079, 378748674, 766200807, 664143348, 82654450, 712949680, 331931774, 823969389, 490460618, 857970130, 764204150, 798359448, 550268754, 341089622, 513432899, 238590008, 547465205, 642712352, 273529, 985062952, 934294839, 351238064, 150900952, 244739175, 306328911, 178232013, 744870262, 314938808, 306433119, 157621755, 294349341, 450207990, 803486604, 17903521, 487786152, 357763808, 688313820, 388139770, 216308853, 616750365, 982506404, 222793233, 956283320, 154858886, 231081209, 449800229, 620738046, 118373372, 806262433, 264656499, 239424267, 998118673, 492699830, 48766658, 142141266, 464880063, 533754916, 956447145, 750410809, 61592775, 110237239, 299544244, 871566244, 550376516, 122946793, 837379588, 392224096, 789122814, 436405968, 7143430, 275116115, 360398980, 272814024, 597827958, 952703570, 716780835, 661687126, 581171204, 220754211, 558837649, 433336814, 900453224, 288576977, 954478224, 228278495, 75631727, 77339749, 935587771, 51404384, 918885028, 8108475, 862734306, 176693037, 621628979, 556957848, 852560884, 874412746, 95337731, 496267315, 529123285, 117632351, 970423716, 682018439, 948442434, 629373135, 688394323, 534681603, 947487052, 928097063, 320477208, 135847495, 882651011, 107351286, 233190436, 151531331, 606316850, 559986692, 588637630, 930445900, 534166368, 747650018, 499622913, 662347792, 460071957, 400123062, 962364885, 667399069, 928008246, 90893442, 293304471, 438232580, 10117799, 628768338, 133923333, 934271246, 182546504, 806582111, 232922673, 330062332, 688783102, 448905010, 42538542, 279512099, 432379341, 270251259, 952857288, 154181517, 873674553, 500620960, 467218138, 995042728, 107750979, 515722934, 346174346, 779946430, 833449361, 594470199, 784254466, 595280071, 651535659, 821466995, 77600910, 387885271, 908194951, 100116453, 914654756, 588393299, 131603507, 147337900, 633931297, 473286328, 715821694, 636911893, 413556217, 393208143, 303910982, 195748121, 155069852, 520849828, 551121447, 38393454, 505356437, 182901490, 142353067, 802113852, 459445111, 253961999, 365035644, 277418366, 464723584, 494713494, 676866901, 776909006, 923206193, 899029608, 508402507, 717140547, 292875250, 209600315, 52862936, 41350067, 501618274, 474191713, 655846053, 724994345, 833582004, 155905573, 277189735, 976198278, 377219535, 734863494, 212375756, 860970572, 37055864, 577310743, 492894920, 366296747, 30668241, 449621236, 428440838, 401419206, 481631646, 425840886, 945393505, 850806536, 967941893, 922219013, 37168747, 967095169, 682825279, 33634887, 607641989, 485258787, 179742935, 354821384, 360105444, 455011818, 968739812, 99263363, 73904606, 925979781, 849915628, 103765459, 171099714, 831011792, 108121515, 356607712, 491736069, 855901244, 778508202, 153456390, 140649779, 597343258, 296524403, 545755799, 391244037, 500401561, 244383636, 903192182, 910600366, 527355627, 656610707, 274938347, 641178184, 327495212, 975361050, 156387646, 940989615, 287656975, 144118176, 829558885, 346967708, 677306382, 751630059, 889494249, 343429418, 136331635, 582603196, 758157453, 583229983, 360367433, 758601460, 469573870, 10167408, 422506365, 104757020, 794446268, 544777325, 779624273, 451987742, 753809324, 797907294, 580802485, 848366827, 485502287, 507273975, 319208931, 231742457, 830483190, 455117382, 861888325, 98349212, 50106314, 587815285, 587950685, 485025927, 894158900, 808864345, 279953044, 38047190, 417741773, 262728592, 836760734, 367211265, 838822391, 408064560, 973983252, 900240155, 365485651, 632285314, 602100491, 198472204, 340046646, 730302950, 159920059, 540047837, 236723552, 465029703, 412573032, 527187841, 985246501, 168524348, 195798237, 705544668, 684571212, 792596451, 743910198, 413020186, 418387865, 580255666, 59437982, 82068165, 829979501, 947644459, 203809926, 118772326, 575352833, 118334362, 408188815, 37072805, 253578569, 272912291, 377039962, 880587369, 426442129, 482764823, 524412568, 431509526, 962578701, 905505021, 240279959, 14659523, 904218653, 900877879, 838285584, 435923024, 486296614, 869020704, 316000588, 331908377, 20217469, 98876626, 141466250, 975573779, 105347048, 482264665, 33990321, 723273598, 411491504, 146787578, 868425947, 57482667, 735792496, 948321622, 42620594, 58225935, 488275893, 148233138, 703915410, 482148489, 41510851, 236307056, 469523886, 721717406, 453143751, 795717820, 669826256, 438908863, 81347266, 514107720, 413916730, 459249818, 903244875, 933321714, 439366813, 64654852, 152357132, 347299586, 758383737, 634368986, 572705896, 861386064, 213503949, 787075935, 393554326, 781890798, 580310749, 148796190, 201394643, 233067502, 766153164, 56355506, 518442151, 768972020, 589759038, 923440187, 221820669, 365872712, 542966254, 624404284, 774889110, 601095189, 226301356, 9142249, 583744436, 652302562, 335273088, 634969744, 550458686, 577309446, 297124893, 910017728, 403414254, 308352826, 564110301, 599395876, 306087690, 20258045, 852076074, 570751314, 321625739, 68665361, 653713490, 936361915, 323142693, 51290479, 485160563, 951185255, 434922411, 409629921, 582325749, 530156803, 585906733, 851723745, 536746066, 922612799, 118210625, 957248213, 342452559, 602667871, 284557240, 385133705, 913771796, 551692407, 747708878, 218798798, 52470422, 453474531, 63446709, 63411891, 63685281, 245466989, 992241973, 166089120, 880597866, 408588910, 847676353, 671992541, 511918808, 711813433, 522939506, 191787067, 878163519, 610788407, 166874307, 140259662, 204313941, 28106585, 294509991, 429650063, 76043058, 252960694, 819975738, 697680603, 611722454, 467096332, 751678042, 859642611, 822480776, 430952964, 521732527, 72544686, 201960166, 340054889, 158564617, 505283454, 184214811, 733356253, 686612085, 54292760, 403899871, 941831863, 953288290, 962719879, 631529545, 403768198, 810638560, 361049370, 429128791, 275338804, 273372069, 140809006, 413728739, 177544468, 34951266, 420293984, 659025438, 326848194, 333934333, 347069743, 521967829, 398189093, 280311412, 788234106, 654787289, 444373203, 506032060, 185725937, 385927182, 334015967, 52615733, 583101600, 194972567, 467819286, 253677809, 593003482, 433197103, 786376470, 192860968, 15394493, 501509732, 38375084, 484910089, 724630254, 975556971, 396112407, 470554190, 80202950, 970335563, 202129477, 499417644, 815536070, 100190760, 999742470, 73751243, 37398270, 779683748, 988972673, 143892235, 910054003, 46992249, 180481957, 204073553, 566849535, 206534481, 468778549, 124188126, 897018429, 337822105, 864112480, 827027776, 47597832, 756124654, 702943727, 506896748, 507053319, 486562691, 198534995, 204602446, 846906669, 420901797, 724916454, 799691195, 202181331, 207261422, 329660989, 646997645, 811665255, 320058791, 104619375, 800279638, 268261853, 107071772, 215128380, 361289557, 472243927, 803585948, 660675810, 931541977, 401764522, 565372626, 661383953, 755492234, 897696113, 715217554, 245902933, 188340719, 765048833, 732200806, 739958923, 636193986, 787198757, 95524746, 796852803, 910663558, 760326891, 584221822, 945184772, 93362258, 14005747, 189293526, 692397039, 714674870, 89556867, 263533101, 215481576, 358593109, 354499204, 636457853, 901593886, 27120570, 11142581, 739175479, 191863411, 803562038, 629344959, 166921326, 479969626, 814221235, 327286230, 157144197, 83527609, 110318190, 120253910, 179014128, 213401456, 66327246, 787401906, 65619567, 234655400, 481120798, 732398136, 161882911, 516072273, 832643132, 724787412, 339511614, 410195345, 887006303, 173538822, 832961986, 730085639, 905757342, 21173715, 992312638, 690835792, 882165427, 293677541, 347595247, 299457711, 783195558, 667930662, 679021537, 180527831, 745976359, 824142787, 247970738, 372157247, 773783145, 23422384, 311467738, 588476487, 762098210, 389220929, 665504299, 211771523, 178711248, 913128624, 588741549, 975775552, 688906147, 468518758, 867726005, 12038593, 31562961, 471718631, 779053591, 538071029, 656449666, 898674634, 793842387, 19423262, 890623570, 185398705, 846538636, 40705904, 445334128, 36874394, 657972029, 616611767, 229895069, 655058861, 155090270, 241408806, 641957114, 726645926, 967902040, 983305458, 845026322, 324752474, 885748074, 389895033, 9669376, 428681072, 676138410, 801683954, 898200682, 866388853, 49284203, 990825503, 35741725, 475728051, 952365472, 409593399, 290039292, 656880875, 84505291, 672458895, 790683407, 93080402, 850470889, 617552878, 897397682, 616431017, 919271931, 538894576, 28566956, 639387051, 397480659, 888331808, 312516383, 712129676, 139094357, 925189146, 429828751, 669729148, 657455429, 44143137, 896419502, 373965432, 654395835, 522667826, 393589332, 287876558, 651339364, 828680821, 314498597, 144910474, 361388886, 948141017, 899042070, 604577387, 297048197, 700671202, 243720448, 222587948, 421418856, 427568080, 669262092, 94881694, 350564702, 816069148, 933921780, 787406109, 394279576, 247194716, 659840096, 963491497, 621926141, 942366846, 377839543, 904423135, 106961356, 877196550, 630280496, 328306029, 381912402, 259658267, 256524873, 14405468, 91643580, 692379638, 778066527, 343401228, 265240258, 890313044, 800722146, 764711705, 88369697, 528098498, 768397667, 13367371, 983321651, 305640149, 967903231, 204662940, 756849127, 386404985, 473020925, 13509173, 189775432, 83246022, 122585254, 309783836, 919737386, 251511120, 224937099, 649517015, 42791830, 846714461, 954366529, 328480025, 308171454, 834735999, 832990885, 716279439, 676745862, 834852009, 890280653, 869334953, 655241739, 778403030, 392085988, 728926556, 129185573, 555171776, 475758340, 828180676, 229343747, 545625292, 632710143, 214951555, 887768252, 180476872, 540305624, 488375293, 447961778, 897829630, 150266682, 935871494, 239897628, 36306920, 14787071, 137613306, 19047148, 167181446, 221686307, 926231605, 440085342, 708241065, 321713012, 700623013, 523542251, 269123659, 394643556, 408705072, 430388587, 173026158, 90373298, 742817204, 679707901, 916179928, 827473012, 830180200, 389508837, 726194344, 34322543, 60782569, 810967191, 296956110, 985551922, 802735228, 69099689, 861993337, 882544894, 3086387, 354689796, 637067784, 147299021, 323439936, 749598214, 64963473, 875874873, 260169214, 786704608, 261894718, 832429561, 754318611, 736660374, 115594129, 71586299, 378870353, 263657928, 15351768, 115135473, 763413863, 306155139, 922764812, 918217812, 193842385, 113220505, 283673234, 20446421, 16479967, 685827685, 117524362, 817386440, 717058666, 227736181, 634222817, 962294687, 241449362, 254390688, 412708733, 547966203, 442524448, 926032328, 256891420, 892134103, 479945158, 235592616, 347569648, 954914412, 515973257, 350763691, 638109141, 69620416, 839227397, 51302625, 449501182, 366481472, 832015107, 905697926, 676741743, 37441717, 811644502, 416274325, 789866577, 872878678, 726743340, 572104693, 828643521, 720840242, 947503774, 827075515, 550898106, 867141112, 679405518, 98209130, 957702403, 892647889, 588425572, 227007937, 763830442, 318240083, 58845407, 237942466, 393609077, 548918027, 593320301, 471151375, 782958204, 680266100, 849048920, 365677646, 536392314, 258833786, 522137945, 497522065, 157628999, 138290860, 222570880, 278588036, 754198935, 765300737, 243730127, 364842562, 689214696, 860588574, 23809147, 751837441, 383716938, 107467979, 102524014, 141604079, 22445434, 383708256, 454334769, 766131067, 512348531, 434643671, 635422439, 481936828, 340270682, 479822553, 387097373, 478628106, 136538298, 729873250, 989536834, 485814185, 839194198, 969893055, 4900737, 372276126, 391256330, 586272280, 322400955, 116257783, 201582517, 799154006, 794300225, 236835686, 279983815, 993477477, 369815430, 804647179, 892199865, 979192861, 324767845, 793631281, 994992220, 664601851, 815841973, 802152572, 481526271, 221601743, 503349374, 80012548, 962958858, 84624952, 97545324, 792969558, 869502280, 5952227, 12200442, 275611054, 79173264, 328296047, 894689272, 111856616, 73832169, 961291301, 579954169, 418718740, 247387610, 878376348, 368490908, 714899354, 228963972, 607773140, 245918092, 386527512, 558984436, 136381378, 997533886, 132702955, 467577010, 848031070, 100820775, 491987507, 282871800, 336610001, 620134615, 769068281, 501973455, 139295754, 264083146, 272601696, 430570829, 807093744, 219252454, 832278446, 950552888, 343405088, 545771506, 85628197, 756524483, 489444644, 87426885, 991414415, 718515819, 178071277, 832206183, 782271513, 748136731, 746048966, 977128489, 392663501, 611073025, 961012791, 281531197, 770616258, 131516578, 460010674, 181559960, 184901923, 140130222, 620508282, 280619199, 736895170, 913924541, 539355591, 632174008, 541178774, 632340676, 398202035, 600686647, 818558575, 486505624, 342993818, 847300612, 356669333, 526124381, 60567816, 666820815, 365779667, 123664146, 83567939, 462288019, 838231379, 783678923, 953912780, 874530275, 307029860, 634172780, 744553708, 988942517, 927420850, 521610862, 191596103, 264213125, 779301551, 588329793, 138105331, 712890588, 76568775, 92592673, 709013842, 849662506, 594870278, 156091065, 342054969, 655158962, 65059224, 293813930, 179844671, 795943374, 562903713, 792017900, 332165468, 800009698, 355719822, 141410014, 772197398, 29987170, 496971202, 782096921, 9511903, 973860547, 483125136, 20856925, 489468238, 901683957, 540086535, 218100136, 55992999, 473142471, 137700979, 915020229, 484106322, 762566259, 688489059, 804832718, 501763064, 948104876, 869080139, 257758839, 926620505, 539801937, 636121458, 496520651, 874918960, 534686459, 635437789, 877337546, 343780108, 665644544, 860966196, 352073035, 697749070, 1196294, 960876676, 421307696, 731840674, 27625675, 973116910, 313212096, 128107501, 812220873, 534450936, 994009495, 228306850, 291519315, 417323364, 252461543, 142252, 931128482, 693419140, 601231913, 126368157, 671843300, 722421087, 864681501, 779788315, 325781437, 282912149, 737300065, 285388811, 369858176, 683062870, 931836669, 681026178, 247155506, 326225335, 736894177, 424866420, 58488925, 866913535, 891622170, 816644639, 648093625, 405827352, 911260283, 182424257, 770290395, 174191184, 4150411, 774823618, 4108660, 743975446, 208168787, 490626462, 198138364, 366394351, 870445957, 387643075, 444604691, 331991698, 435191328, 923185048, 177753715, 104798450, 646219911, 905397024, 638164196, 654227840, 883176406, 905225405, 823111004, 956537599, 652464395, 505104612, 769438038, 271049490, 680409691, 510953996, 362219503, 942628136, 686594763, 634394679, 307769389, 761259012, 661809624, 650113291, 630632362, 168359320, 810572495, 643931930, 784647314, 95056044, 951033146, 638136740, 863588614, 853675748, 47578849, 421899416, 331160152, 834725851, 855728453, 607509943, 36937423, 743193693, 936642759, 290411570, 411723191, 990451633, 332825027, 398059801, 640363300, 287945920, 693537698, 282145936, 306438604, 847249586, 131540678, 369443719, 330733776, 781509985, 12753738, 438680734, 285309347, 314556861, 958172992, 219745090, 260961079, 730818986, 719235046, 839848415, 193625212, 243314522, 959630475, 176591567, 758314340, 316260654, 46265904, 295087648, 160330897, 108167996, 884371830, 142154423, 502958324, 565641005, 657529573, 475968605, 757412074, 327458913, 199322076, 966625898, 30609535, 416300726, 938067022, 564112476, 437062694, 512900551, 27007244, 21411781, 239239009, 428130388, 633965992, 603277200, 643979336, 230237357, 211907456, 642880142, 919276860, 414752027, 143108587, 634480737, 120346170, 450902980, 77506502, 274185939, 597194145, 662190081, 897906438, 150517776, 831574552, 449974368, 428361517, 312056912, 773669575, 489389838, 285569902, 79459623, 542069951, 712228583, 107133132, 28761430, 940563832, 553415065, 292817390, 711512976, 258030994, 354450575, 876418054, 336882332, 524380790, 340457841, 108415604, 300285695, 954742499, 327667475, 828543638, 988106149, 506696635, 895943391, 950797161, 553319755, 486769371, 512421505, 698746901, 409456769, 490436629, 275097524, 803398459, 585682747, 949493785, 978811112, 771552726, 845687037, 811847611, 496213004, 141468545, 129098766, 783328915, 440395657, 985895271, 855593251, 260813747, 483653543, 735144407, 122805111, 645551721, 279599743, 373817348, 920627756, 400492120, 270723787, 153974836, 866940480, 937663953, 68447484, 292793089, 988017721, 850209413, 522828609, 476495156, 765260244, 73146616, 250529999, 247408492, 961215420, 354036239, 714267514, 270162488, 315275377, 64284984, 272811048, 524935662, 375512948, 995059382, 223363315, 871038308, 837292827, 372529388, 975813179, 885087224, 763766290, 427781802, 216285222, 883435572, 939301911, 832218136, 699834542, 938060958, 450736661, 189622830, 686595908, 404014021, 145447413, 304864036, 157931319, 781374529, 51334533, 80066663, 474144275, 409862634, 174241401, 62369199, 750698486, 428009152, 201924928, 246472049, 849223496, 14321115, 528092793, 935882597, 267703850, 949060350, 119274948, 952920191, 752989341, 644805712, 632290442, 797867240, 613135422, 267184003, 864580937, 709291509, 930645476, 833849270, 26910290, 132152252, 774331604, 763015350, 687893553, 961045022, 878919182, 655664716, 75110999, 726722434, 392052977, 884378557, 768761661, 530037520, 335780024, 926209323, 553648276, 899025089, 769672356, 920142909, 332516539, 851326071, 474128310, 790250909, 465012543, 854401454, 741220762, 44974397, 266177744, 658219589, 41359588, 932579637, 845079905, 330929584, 719197572, 158556786, 444671906, 236216541, 652255089, 119750372, 78567224, 476084798, 16104567, 769990105, 4385926, 524021409, 965209151, 963443075, 387345629, 160924037, 955094541, 700752062, 170935525, 960810971, 809840496, 3982538, 19994417, 30185983, 236521818, 713127687, 203677366, 47983868, 717727818, 972556160, 232861568, 231662767, 904004862, 755642036, 29457129, 277769254, 585253452, 277981545, 115847117, 677230769, 487431193, 572866114, 316910769, 556676775, 488775236, 505033356, 541400509, 104393324, 356155412, 115222322, 492928764, 273205066, 625762419, 947496921, 65056186, 636060195, 260205126, 570651840, 995034333, 556903501, 761729331, 456869460, 100080824, 62081710, 208851629, 290945946, 514943910, 355417413, 486276010, 514831643, 631767619, 313131595, 849376, 746536661, 434813839, 25464667, 494667124, 194855833, 570764320, 273836659, 550422141, 205177688, 263178313, 391247897, 21951665, 626653896, 302342080, 176401659, 553027694, 72178859, 888660654, 398725672, 658265119, 733193879, 386076982, 912509770, 641719246, 455560541, 889066423, 158587127, 642040622, 728285824, 780839552, 406184814, 362814576, 712296434, 647535550, 163490514, 798221621, 593830090, 724650049, 86603361, 881761606, 53832115, 313828577, 875270519, 939997497, 407375321, 929479910, 872074954, 945068522, 109393944, 938467617, 414812412, 10409960, 25772565, 712551400, 926173003, 199685988, 390319752, 246017328, 428132190, 599545382, 545915202, 6876745, 851674151, 901278445, 668133852, 272606349, 128022117, 698685899, 403823418, 609321976, 717169795, 187808238, 254097371, 362365200, 341106691, 154931165, 771141195, 933732672, 616851683, 396374271, 219403139, 264212049, 399657805, 225757282, 196605253, 817450839, 225629518, 724288677, 859386010, 584885734, 18260864, 577643118, 710565245, 552254248, 436923526, 74859890, 705758579, 602000236, 131074437, 272937640, 592850745, 888013602, 277537830, 752852015, 792681417, 463336138, 983939838, 738028481, 724196602, 801781135, 729496683, 754972245, 747061526, 890067393, 298872469, 539917557, 928681337, 877221080, 815221049, 273229945, 59082971, 906025094, 860794087, 799204428, 954765796, 620688610, 537137738, 266413104, 653833811, 678846494, 107148693, 46164602, 816867248, 297129194, 121615924, 288405236, 601501449, 480103606, 152827946, 343611543, 373427912, 151307732, 341343022, 819318930, 533440995, 789778380, 578630242, 699687809, 980092775, 155496667, 683399245, 183823976, 282644429, 666145530, 436427448, 529534562, 870102806, 907770348, 501085587, 227549161, 459761418, 825139320, 784646555, 92825692, 65716852, 659496592, 232824395, 665691623, 161121878, 80933319, 688223307, 215275170, 404989072, 506895231, 680871717, 253949804, 978409557, 652192262, 644423896, 255706671, 893871805, 538609166, 486678020, 808014636, 624992105, 503405147, 992779407, 465631270, 765242606, 348571657, 207047104, 667282887, 812553048, 311835076, 392216584, 927785205, 828722269, 962107289, 217369794, 48204234, 653114285, 500894596, 346567966, 77436469, 822725552, 752908036, 207071842, 601161420, 279867888, 367588002, 488366613, 638716131, 206945428, 161165215, 327893869, 920716605, 609238686, 510144253, 674500370, 897332081, 964185025, 572973816, 269584410, 738300021, 652093758, 390547580, 644888977, 15760567, 392152302, 90256095, 79135934, 824849257, 317707387, 674326181, 759783729, 966232368, 259733935, 960435791, 528362441, 775640408, 719474797, 127387871, 51962261, 980940310, 316977232, 588277253, 342540573, 526928489, 376054928, 823828884, 558563255, 317350968, 255503538, 887395085, 289082337, 174189809, 646585598, 339256439, 459966266, 442937407, 837074550, 325331295, 409345710, 641930711, 182211392, 684324793, 610533681, 940268406, 410170191, 540887672, 767596889, 903265490, 37421414, 624682016, 565426447, 567388063, 375068042, 287281501, 463007953, 640610845, 364969975, 909198326, 856530971, 71009693, 304230722, 709243669, 560257292, 50929644, 854492979, 815092109, 250742891, 377486035, 223723865, 151521094, 445351469, 322216648, 384545313, 43030515, 477707583, 835058645, 783435222, 568116482, 86281731, 332556669, 285172777, 319304784, 944298492, 747267426, 435972653, 234406837, 850831516, 994458533, 259161356, 917919473, 946323815, 590866870, 858558782, 883315464, 811934570, 99590502, 276038125, 259772089, 402015391, 568414745, 548816403, 616441902, 890543095, 850554065, 132514130, 270183825, 118282956, 713247837, 428263233, 554404790, 451898917, 814738486, 860076982, 998482216, 94299634, 454903883, 205566914, 271846077, 250878922, 711272210, 804519712, 405266401, 713216399, 246101042, 373254260, 607711104, 205323747, 385630409, 973426684, 413705171, 379357265, 487948061, 457914101, 647279841, 63130713, 45769349, 495055788, 577397462, 351521353, 924889771, 577010219, 133267422, 434294021, 189827663, 196341921, 429681985, 933398897, 482198966, 43473109, 712956207, 878175367, 748910972, 750409572, 595710400, 885205199, 100840886, 475592361, 736782579, 251267673, 295152869, 990954632, 911030842, 677566837, 299513962, 956572824, 343725589, 476999838, 120098873, 921660328, 259706027, 155764922, 348491650, 580898952, 54744830, 701158327, 276009207, 599142801, 64003728, 602197008, 701035209, 858970919, 489725061, 670611656, 420049812, 915970181, 327594742, 598336881, 645769244, 124629598, 93258424, 838587170, 945581794, 972568743, 554982540, 260202586, 683222978, 263200192, 337729622, 753690806, 812311178, 994499840, 700721887, 273722148, 706798544, 62840720, 743314081, 574985732, 370004104, 270260137, 890910361, 513165174, 416040337, 993086525, 499898267, 685426513, 217404368, 536985014, 902042262, 627370239, 141241742, 177100540, 623762037, 821122245, 807498404, 700532187, 201537832, 799351125, 233905464, 661925349, 392200030, 652804348, 498793818, 731108883, 854709274, 366609248, 830076707, 47792956, 179488799, 254449067, 920253666, 931931681, 85063150, 408804226, 362184849, 65475380, 470414731, 286204643, 194045790, 840223828, 278060791, 748022798, 687067234, 617291517, 231458253, 815834204, 247187323, 416819409, 139888134, 580423209, 740694299, 441597397, 928330264, 860911551, 198180356, 31207990, 670965392, 918103020, 298005583, 503649707, 390119991, 222904065, 691826545, 794267812, 527356081, 261371633, 53799248, 493569238, 499494306, 811954487, 450671545, 593881102, 861247761, 500349865, 984956760, 348881212, 238898369, 51925851, 140795233, 146812238, 976845190, 926507078, 776401657, 973977046, 319542959, 650371605, 703915384, 595916887, 489247914, 902731663, 675251957, 355385882, 541569982, 416725711, 826311200, 485544719, 728710764, 294826729, 587381335, 71506197, 338861067, 461664600, 750974253, 799043876, 697881863, 386962531, 120073323, 51980544, 597206945, 167100008, 909448462, 285646025, 423071721, 910340263, 591669951, 505009781, 741048131, 172747664, 625745772, 992007875, 420635320, 698439770, 205060455, 476539910, 527088152, 308245179, 515952859, 680263972, 818047545, 109463172, 729141376, 927832725, 107885821, 323103873, 806109936, 724893457, 834749467, 792477316, 33112255, 768545839, 653609548, 50560309, 538964995, 989299606, 911055212, 891886750, 833000883, 953543220, 484841399, 275005795, 748180709, 680692618, 868364378, 756155580, 536639201, 907976035, 928327361, 271929844, 744273497, 488463221, 863939852, 498463600, 407434223, 803529914, 288641798, 848073858, 997476638, 888140717, 136634180, 941959940, 189132057, 406424369, 913391405, 776343648, 643673574, 238609772, 137207148, 528639743, 37228254, 67848085, 943969485, 284615267, 833172452, 13936530, 47154039, 367151477, 597956196, 68907850, 937285129, 840496172, 886452027, 972631079, 210614486, 453232156, 411378388, 916348876, 562780129, 42411267, 362859653, 236876989, 63429436, 518756760, 683078480, 195055935, 997881204, 273469350, 135294073, 895899648, 504569586, 821923230, 622765828, 204761819, 837153718, 843738097, 114578501, 808707756, 413096248, 40301403, 710426501, 816997126, 542766907, 835325038, 415226274, 534819205, 699448574, 446112970, 638703812, 34782637, 197319290, 785914000, 505753199, 337069284, 480009994, 669364264, 174801251, 832625841, 916674854, 457336753, 307663939, 526844759, 82591284, 798644865, 421978467, 635340560, 215624763, 299176563, 289506471, 561243274, 897318856, 358876871, 305196296, 986420735, 82787891, 638399497, 747671921, 360201260, 755415131, 287578032, 822326129, 45259867, 847794028, 498546025, 930707187, 852840083, 36683045, 22633146, 58168256, 614184710, 281716685, 695294646, 126844102, 884314290, 334169409, 233219187, 250429498, 115725024, 14688906, 433700321, 594935993, 297880885, 360232101, 688423466, 699439847, 623388527, 216161199, 234379689, 833486619, 852270426, 745713105, 466456948, 910639312, 146756022, 834840770, 355289007, 372847708, 661211377, 597296877, 539099087, 659257064, 942842740, 98919366, 554433373, 31447235, 678583434, 755288119, 345626868, 619733276, 966933067, 384102165, 217356781, 989761573, 173056867, 640790874, 2763688, 153653850, 249167913, 692820118, 135496, 222074741, 60103080, 155073379, 837032798, 762943992, 136265398, 508182254, 643976666, 402210364, 45870844, 943426375, 4233875, 567129266, 838936497, 968701592, 730283030, 284296722, 57683495, 21265333, 620956154, 757355995, 850364070, 992909733, 650015825, 387841578, 666061114, 480815410, 334821416, 316486978, 178518833, 677891574, 415820695, 908606220, 449431480, 663666055, 71820030, 393140681, 4894284, 400475413, 966414297, 892380430, 924813795, 388017159, 689530464, 112598501, 859747346, 356142632, 406767134, 768779313, 265562156, 641325210, 350430149, 215965983, 226075042, 4078570, 196830379, 946395527, 509737810, 360561181, 874516617, 357030979, 398482668, 635301664, 779851943, 434947363, 99565464, 231558591, 610436046, 158774925, 872813757, 882848273, 110258487, 75659726, 220431860, 699876385, 621039731, 716333097, 460253787, 234174190, 384655273, 90085425, 617402144, 717406241, 721024333, 334170866, 909643953, 82179475, 374364121, 365631848, 510592627, 296990417, 689219808, 226035033, 365210617, 338894027, 69196656, 361252214, 97327534, 557041556, 520542549, 894694523, 682773587, 549232909, 508156394, 100328961, 114503854, 400990861, 8775129, 538671047, 701652494, 213797193, 105456172, 700742296, 716433970, 240850991, 983604861, 683669864, 868902283, 745012844, 953160286, 196149903, 19797501, 121556193, 335069560, 654911562, 28629223, 37078931, 176765500, 119634305, 55194190, 291624122, 882507728, 296692222, 252673094, 553032586, 826782799, 607389521, 520269570, 877368324, 255381589, 464414850, 815446841, 379901126, 778964985, 730538769, 774193657, 936995082, 410631333, 217516935, 767586668, 807546907, 603468839, 469263663, 151934408, 481060594, 130498305, 984509549, 40131792, 198120413, 539661606, 4634204, 115403576, 651339502, 562424455, 105355632, 351841854, 428637068, 445063772, 77647810, 913307529, 213116906, 935262736, 578838510, 648756140, 664678803, 393249287, 336526046, 731906395, 112122331, 744364101, 811327798, 117977037, 878992381, 788380250, 46252097, 871216303, 805476786, 120910819, 76933797, 78279525, 877866916, 366321785, 858513335, 465860558, 549530172, 664660078, 544383310, 717497224, 304272802, 263040487, 633794279, 9882143, 333168730, 350107127, 846094748, 222959279, 444830568, 106721657, 425681136, 121033601, 515281109, 749899391, 876051460, 622981884, 564357240, 441956274, 156714363, 744725273, 981964425, 656093936, 655651932, 218528239, 174751861, 390587341, 477738225, 730205415, 277009613, 275650903, 814582262, 384437177, 691339514, 767457167, 490029856, 644318469, 671685959, 26730300, 196363399, 435088080, 110485903, 672227232, 487202742, 509746765, 478541880, 692392912, 940732485, 829178325, 259034712, 618316003, 669248359, 432426980, 619558927, 659930758, 467990963, 847249811, 607398665, 332400118, 427573769, 147912417, 351478051, 131261000, 688859924, 302665184, 577707013, 842972551, 979653766, 150195102, 334905819, 178413724, 328635598, 614977465, 466062090, 154837206, 470064868, 792463664, 311529973, 298859742, 842321258, 666385831, 780049850, 736544056, 406725512, 705271552, 421074040, 159231871, 237349410, 976500005, 695137659, 836413720, 955968990, 15228263, 195083845, 27911060, 329721009, 904901023, 178046688, 280684151, 164036032, 520821138, 867389640, 331011361, 257532803, 477994721, 710137048, 439878942, 944141385, 452529848, 564767691, 92742400, 55245765, 544093541, 433702430, 625172501, 801640689, 589259290, 933704498, 484432773, 934889363, 322530341, 976985492, 378325950, 386807409, 741085510, 985817668, 214586804, 756365519, 209150745, 533572208, 794844225, 113928437, 921524034, 338069977, 302982574, 864041183, 383769249, 83056502, 283327759, 791888621, 48724982, 483883280, 270517291, 306158502, 166884030, 113740652, 757310079, 157070723, 76897164, 534222037, 730994329, 80661216, 879110609, 603639029, 759649075, 490331938, 349897879, 929805724, 259481009, 207190289, 16563597, 699420776, 874229687, 595541109, 714907032, 784721093, 309187483, 729561427, 492142566, 831007873, 508302431, 33038817, 608348603, 152817656, 405237716, 985682011, 684551333, 927032937, 363716281, 38414066, 640739106, 975555036, 51752881, 131902399, 863725658, 543383394, 819406343, 394085882, 186977748, 379090547, 553001434, 99574491, 643277025, 5735851, 396377709, 405316928, 940572054, 809212344, 16600679, 794265701, 602887552, 84709338, 884731221, 419142874, 211690433, 148865430, 752137121, 640056619, 896097187, 266692157, 606929172, 680590309, 615203049, 897806623, 50418224, 548441633, 3685210, 940130055, 159718684, 964837371, 511275029, 916746829, 943140012, 558107004, 830925002, 427874024, 543845029, 232185792, 200955652, 482291340, 520892074, 854427873, 428281684, 290409805, 472624468, 399068836, 174848496, 459857570, 302828734, 519927154, 543276936, 729077687, 687288019, 490605009, 81009771, 145480452, 403882915, 644231960, 234331507, 290586925, 944876052, 286404972, 756891076, 686833042, 861922003, 329397496, 311347126, 449165068, 645215355, 758114971, 828217262, 953399294, 16589279, 570039527, 974395327, 687997639, 987370663, 165487250, 87453989, 386867036, 690346928, 459934965, 78308132, 66423094, 689926028, 574534329, 300011216, 638765049, 152526746, 918121765, 167405643, 711558113, 171731646, 639746161, 213498637, 458622712, 923537579, 403645326, 514838512, 917662531, 968724472, 138663413, 461449486, 408934839, 847297755, 687592889, 365219226, 19303767, 965497968, 923992532, 460903392, 322013944, 934361824, 75650549, 799046007, 706898352, 453974419, 548247275, 526204439, 389231750, 283704223, 93706973, 99705835, 771999154, 596084134, 827939194, 793718875, 369991083, 911845143, 258518926, 733872243, 345351803, 841920064, 89124813, 906000908, 937565824, 753571666, 5073504, 118904995, 158550672, 290696755, 347065303, 788064957, 735001313, 802366638, 289634, 936587428, 593358220, 344975653, 571837125, 476373717, 15012571, 261682882, 501975824, 714738988, 467203865, 125242158, 433514336, 83776959, 212178554, 162875153, 814220286, 571394877, 714351330, 672325427, 68839099, 834982674, 212495414, 497657983, 954177126, 873088522, 872704438, 960839978, 409288298, 586173681, 535641770, 4446666, 343349013, 104810877, 981493694, 400385005, 295211199, 605696855, 926443425, 839945484, 75925086, 66483862, 39509997, 883439326, 931859236, 310504680, 335286281, 389030615, 944502668, 313653884, 629080141, 788643086, 935470534, 320566538, 987474008, 216513281, 974306672, 732765111, 879734309, 26558825, 210050369, 267930502, 800455626, 359181400, 277669252, 949069984, 543609750, 233232894, 823232293, 461300901, 775132902, 599796388, 161436834, 876155905, 729465038, 797173018, 272425372, 131050927, 118185683, 473137822, 297411751, 504112514, 351139200, 810133927, 729742625, 48567996, 819585300, 705797866, 994249236, 237264968, 584894608, 860847293, 536374241, 451726445, 741694908, 638519272, 292750585, 889427066, 514545607, 29813529, 604297063, 511692233, 854768316, 498884968, 420253942, 616068162, 994543256, 925144297, 830455355, 379970687, 401795333, 39665370, 62699411, 57787904, 714404208, 581818366, 539423601, 457707772, 129102851, 831766586, 210186240, 736646498, 182323764, 465493818, 311463768, 577184491, 22582706, 806613440, 306172788, 641725415, 210967557, 5360114, 803167245, 307724100, 3191382, 295421530, 46191682, 160736494, 298308912, 992950028, 443069863, 1861804, 999978070, 960367494, 104226904, 298641531, 263323251, 25127384, 944535356, 584948530, 730798909, 372046823, 18398708, 675249940, 621293267, 287290813, 750215603, 885020075, 232815657, 67990115, 876334605, 380572865, 935843595, 398713344, 156946674, 713542848, 274200599, 254218626, 341782720, 808494794, 926850890, 216171, 762278065, 827122270, 662284060, 291415141, 930313282, 848385559, 387539985, 367042431, 500108908, 6238546, 55222123, 446947634, 545595838, 787046847, 942458577, 944561046, 431914705, 384158677, 992990204, 474876567, 364820464, 643511118, 600278173, 93056526, 274144218, 166763049, 373583075, 656927410, 177845305, 112176156, 863703418, 133886378, 975405053, 206466510, 219495619, 768349225, 220816902, 132353280, 822874692, 336803861, 220859658, 98832326, 381543485, 885710372, 329818206, 91211382, 923133308, 848753740, 801163608, 952295254, 773435718, 377394041, 717167000, 331179512, 749520701, 392473732, 695296608, 301954407, 913243045, 340430690, 367776826, 744634512, 825747631, 771581576, 946982172, 752568203, 656578791, 954486987, 518776941, 396058077, 806516400, 808482489, 578170380, 765833304, 729415520, 773630297, 728199437, 293473061, 192371643, 689263976, 132106109, 304124003, 749458128, 946129895, 833282698, 938524997, 324662387, 610979214, 119305720, 636872264, 108426849, 711307825, 723026877, 371998056, 523873981, 315808439, 337794035, 216425701, 247263602, 300384420, 995321040, 575534699, 586194523, 904305706, 452677296, 148465985, 47996954, 8696841, 930698144, 780524835, 692449916, 680677899, 674853883, 85621279, 353941257, 234907702, 199050028, 685132749, 904556588, 906210665, 944974047, 473955554, 574289358, 808210082, 486127859, 454296370, 967203940, 243078965, 117980326, 134077763, 146438551, 24577226, 822848552, 229063630, 564650240, 618220910, 900098963, 814476785, 420652255, 842114899, 915344446, 685804195, 650324655, 741309995, 758411057, 826271867, 235532936, 868432870, 349115519, 436033698, 401553293, 242955628, 47324182, 610283492, 747227548, 976199971, 530209708, 800407598, 725923382, 878652336, 464045608, 163091104, 634245446, 376109733, 626943116, 784720804, 305068853, 706728158, 405215668, 578817138, 755457295, 701269499, 879421749, 821725372, 400418474, 749692925, 129235058, 415644434, 542171230, 567048234, 875886554, 867777348, 53372952, 193230606, 706817432, 542619345, 652072343, 534300465, 694358898, 859520971, 123404375, 93927350, 461983173, 327944286, 185468777, 713484499, 174173140, 852398481, 157583882, 757054177, 272422878, 441525677, 937932404, 196355609, 432697636, 898097872, 928889185, 289932873, 450768008, 55738955, 191872666, 628892374, 365457023, 205106958, 734327271, 735508802, 203611158, 68127015, 171847505, 269245163, 363542238, 635965271, 295990957, 429977984, 126121269, 585997776, 310604507, 768311454, 341204071, 14065295, 901226690, 75980080, 733146249, 25867520, 34346053, 120147876, 267555879, 301556282, 833879052, 843944068, 656307408, 61730217, 821190340, 24655288, 874274770, 64447875, 713051176, 830796007, 308878628, 233699602, 970148957, 830490979, 756679690, 483110771, 463538391, 15586322, 594617560, 389792, 906423338, 111429312, 983728932, 685047707, 471892369, 795061526, 631374293, 256798159, 745543546, 587685094, 455029969, 537025944, 89469549, 897062439, 649498216, 979499603, 815329051, 919778649, 947987399, 179234439, 620527023, 268281665, 938102485, 976342193, 549706471, 835388408, 721638017, 455899658, 629493030, 46564404, 411661455, 976409204, 864650181, 837754339, 908201236, 605855973, 112166898, 586692085, 694471783, 775511362, 233053600, 701927921, 409852769, 510296852, 597967854, 203211870, 752457138, 265676367, 83447782, 962838203, 38403167, 687831288, 142708251, 137572041, 592511272, 560169740, 369970975, 82564165, 425972761, 524533142, 451333643, 305864250, 868463055, 707075470, 750479351, 546787523, 959869450, 485773607, 801983769, 351652728, 208723143, 599900391, 453631015, 760911837, 134810667, 428161134, 980669654, 455151357, 763047060, 465431428, 499817764, 397311398, 434432916, 140121039, 535337886, 644458695, 769917599, 141332517, 186722156, 293092668, 978221272, 651930801, 224573006, 488531706, 924007855, 899478699, 730770649, 957950896, 705121578, 979012630, 661522772, 978071303, 941421074, 488688487, 610994226, 547910532, 346837842, 66065227, 566367689, 187894785, 847978414, 447547684, 838780664, 336857899, 204944326, 730051587, 665839627, 258337726, 372422548, 341713939, 560923312, 97300577, 761787653, 356410972, 869200548, 775654017, 143141762, 530325991, 440708338, 80793973, 923741126, 694742166, 133435955, 596708375, 220255416, 897087125, 591452585, 90611240, 906842421, 907587153, 16904446, 46375617, 644907562, 679590337, 309398775, 404742408, 478546794, 326763442, 737796184, 670074792, 589760673, 458178186, 951848316, 291013388, 585581284, 182544259, 732874393, 633765291, 479023395, 664341462, 227866916, 440496824, 715701761, 987106438, 823325427, 869524205, 48559726, 459855222, 930316080, 205502007, 717298911, 200734565, 941114014, 838329859, 686456442, 821972081, 766205384, 462039938, 736227003, 965554341, 983051608, 924766654, 500432947, 90444312, 546015721, 623937343, 294459334, 913605042, 101017094, 446340727, 7836468, 314995833, 300193848, 712965755, 970594207, 91738429, 881981465, 565648082, 336195622, 290700620, 992204096, 409034618, 189002184, 397320147, 588816424, 267969483, 363061523, 768218706, 84714614, 518571798, 586857517, 836432504, 74560523, 948947207, 757983958, 139727978, 84382272, 573047656, 724899354, 508308220, 253875387, 580679782, 643695463, 292354638, 356338950, 478699206, 58448196, 420376028, 657286767, 320007067, 246151559, 878764149, 296711043, 592410667, 10568867, 585471558, 536331077, 993947035, 178583876, 775827396, 501796231, 923239192, 110225978, 767245972, 752767996, 886328642, 758379909, 167603767, 840718557, 484937861, 505133615, 936847885, 194510870, 697417611, 977547419, 126618649, 921186609, 713324254, 576600549, 677225630, 671386100, 788978691, 421681162, 143504641, 185579187, 348248513, 662598415, 60113435, 715228960, 187480280, 722551237, 980334501, 590330030, 848732957, 699634322, 80268823, 208378506, 362833224, 386341785, 810121991, 495690934, 53946695, 382873441, 435481389, 427530752, 611352170, 129288216, 406406086, 990315783, 541065402, 609949369, 430890187, 2947243, 949013254, 416624121, 845953837, 875868003, 274902308, 798795895, 531595981, 965261218, 742113680, 310040597, 808660413, 968403862, 581330058, 973294187, 89006972, 413337831, 940020313, 557211491, 14580100, 105741647, 554279219, 471740475, 150018178, 186039465, 553684874, 538135400, 466431382, 982701750, 823903919, 598640543, 327795616, 387564918, 938627799, 921689244, 534616127, 764646423, 948270555, 513890077, 139490050, 159804936, 53184469, 574419359, 4670339, 138007721, 953020732, 430662493, 371464899, 40936869, 334028520, 222032197, 142808692, 295254046, 260486072, 291398412, 314836737, 134949970, 580427675, 108533554, 255702859, 346178258, 420005350, 10539747, 332897142, 501882224, 511173200, 48279312, 55075005, 990787671, 286910859, 522277278, 37386125, 350624157, 187016110, 138099628, 393042624, 363061945, 349947988, 813782085, 758333929, 668568615, 745638665, 513875030, 120154674, 861436891, 745556244, 777273430, 588467903, 406947471, 446158060, 428652575, 515427286, 611862693, 912620998, 337281932, 616931272, 850126012, 51180426, 369647120, 881472215, 3003687, 189766862, 423012861, 187489227, 545672730, 116479320, 273949032, 819043008, 424542917, 312617791, 4759068, 933445960, 298415764, 868519440, 696295124, 855794752, 23357612, 563160673, 597931176, 281903382, 93083508, 177612095, 128496558, 905732051, 971774804, 783377889, 63130801, 907832739, 648026978, 965527041, 87479593, 52165052, 977130959, 548868669, 166006145, 850266317, 426860290, 86617559, 346695931, 876195761, 479635224, 287669510, 700665509, 394700909, 391737880, 573085877, 62530738, 309729237, 573397110, 445831080, 348329813, 290738351, 472922928, 237249089, 442662541, 403774612, 922490582, 759846254, 597774738, 583228918, 631813345, 668568976, 620278603, 599004911, 833015799, 271460226, 452501270, 228856253, 624487660, 356440264, 908974906, 384891699, 924330567, 328999732, 864645800, 217122286, 444566724, 390088872, 771430184, 831682123, 138682027, 525016624, 142328279, 724502047, 923433668, 608866413, 30254329, 139475559, 709660875, 679813341, 208001394, 372068957, 738001104, 621912998, 558541819, 896705505, 77751679, 733567768, 462165806, 806614597, 271859812, 914307444, 382534983, 997629370, 730199653, 876452211, 257680856, 924247697, 139393682, 775563538, 651038233, 652050081, 868976294, 650325291, 230640109, 163540671, 275882470, 917863931, 300323333, 612860130, 209243909, 855612637, 45753044, 266004767, 993647108, 700837994, 44630317, 967101176, 610354062, 369743647, 228164613, 514544486, 434603945, 895326813, 45362622, 816382667, 548775210, 865648139, 904805948, 625367226, 139448857, 588388793, 369683361, 150138201, 433969899, 521437556, 22960569, 355058588, 176359581, 529320749, 247228849, 685290079, 649107497, 88922435, 704789487, 143859945, 565681078, 397349487, 637764413, 547748749, 947767655, 888210644, 953526207, 685971171, 438519098, 771687513, 393410592, 940619107, 850731896, 602379227, 411850800, 79470447, 420711720, 293754344, 877638846, 107846827, 726215029, 333410080, 830374361, 634000372, 567183573, 472724541, 272895349, 375824215, 526928602, 607412895, 10679176, 591460897, 826623062, 412641625, 494058630, 18124599, 511424779, 884478686, 727206321, 543350741, 450592763, 149757264, 651122466, 518513838, 285732754, 71478075, 80314242, 429267163, 383037866, 736766935, 100536270, 13345576, 904922373, 337981857, 738641569, 858419443, 502733597, 801805202, 870212783, 64166528, 804557197, 674108543, 504388947, 669467646, 689689155, 83889348, 967929885, 97788917, 624998188, 999110192, 595125573, 765326823, 18506023, 607992291, 191283825, 883467869, 640843752, 418344665, 581022957, 824369753, 141663068, 648677026, 276465461, 16882183, 751494246, 28653440, 299619821, 25445241, 368245965, 631070325, 244113571, 543958988, 250499064, 251952754, 876258049, 80391134, 176588194, 854091226, 594097468, 311352364, 425035866, 862682608, 171356131, 641425043, 512141066, 242891722, 151902131, 111952973, 724801250, 743153297, 991200555, 760595067, 813288327, 397287476, 845132365, 20030118, 503778855, 303465534, 624869262, 933971979, 184284126, 184175029, 193680870, 174438509, 909181501, 624085807, 633609567, 293304550, 654582117, 820885139, 435178992, 333436593, 65145734, 99044971, 569910471, 93485083, 934130945, 359732018, 234084823, 153917278, 134662438, 833950943, 4491618, 132744782, 734491884, 133012598, 387170275, 904908884, 402878784, 624178696, 260819547, 811868669, 434563442, 831240811, 718440803, 638971602, 687968303, 104577444, 145692867, 38090690, 191772326, 310695741, 972943207, 432980067, 430365514, 533743887, 180127638, 171924806, 963402013, 193438641, 317140688, 578120132, 147698126, 462774292, 350163983, 329260420, 605284167, 661786948, 21405110, 214704079, 990926018, 744536073, 392214473, 241263486, 370653313, 557423579, 714879005, 987135655, 578653474, 170179641, 972822288, 546235624, 975412793, 919313561, 378826961, 833190593, 591045316, 801884211, 720756616, 117684342, 806023212, 22665961, 520846810, 702018728, 373287289, 725996812, 49653371, 492643278, 964172546, 598900595, 966828544, 823933265, 358172210, 300218029, 482368016, 40231699, 867433770, 387672976, 413671836, 260359276, 244759984, 750438530, 274184363, 62742637, 790237718, 404966332, 78335987, 995152419, 416556790, 506410779, 558278316, 343423548, 117353689, 377850069, 325183448, 524473605, 126097172, 965263264, 565835459, 148530859, 99145339, 73518511, 619314042, 892842342, 669593030, 157219371, 500112251, 16533326, 125015285, 753767759, 444923974, 418738185, 843337907, 39068549, 18398607, 41790962, 778183235, 802842761, 225471446, 56086864, 464471636, 279714264, 523827677, 690000606, 274845746, 577465910, 407139616, 617257032, 827284904, 274261188, 842215877, 794765069, 916361968, 185171889, 860171668, 982468226, 530769472, 430396482, 914905983, 111756846, 296362200, 86295910, 844581627, 829375857, 870776962, 828250508, 882314141, 883661383, 891833480, 744289163, 55395406, 850939255, 203065919, 704121952, 726171955, 479763324, 747256635, 733491837, 883344734, 975866356, 74613810, 739560869, 213661489, 660376761, 941367130, 487078515, 897686333, 928722865, 715522957, 368786754, 461896814, 765584763, 843871047, 458052626, 313906411, 164528854, 195317924, 766910643, 955800036, 134557542, 292035855, 495705452, 138124140, 339422162, 12847197, 322704582, 903704106, 399216881, 592712640, 777010870, 890324006, 619126809, 512153021, 518467845, 845957042, 883523342, 841450419, 644704600, 326573751, 578996451, 186676474, 907783996, 545843120, 196793726, 344981562, 974564956, 690726715, 602996002, 455954386, 966277204, 31805654, 84283022, 242218050, 111560802, 489759674, 761291856, 279878360, 759876982, 489825174, 936607957, 263192874, 814082347, 493584990, 804514692, 882930428, 730637595, 975161462, 984356057, 246837585, 122294835, 534927017, 9150432, 138145749, 473628624, 765238411, 289029466, 296461798, 75333273, 20344581, 856748251, 3253889, 327019966, 775519567, 598025560, 123154931, 222219723, 964985650, 744448401, 883036655, 882700598, 832733881, 619092150, 988453744, 277127432, 616735026, 995541301, 953428866, 951782814, 746337806, 479475002, 610118144, 163847354, 432588895, 379810697, 616924871, 411597718, 775483393, 713984951, 165158360, 51096701, 920820780, 843875635, 82569976, 23316312, 608041671, 808909162, 156828680, 403392120, 613354108, 119993846, 798915557, 268687622, 238501275, 114873907, 746111502, 952437493, 992964014, 255920052, 895767598, 950061730, 834958520, 6260151, 518820984, 521892396, 494720417, 748046539, 395689278, 354896458, 67277447, 595665550, 520211457, 6939113, 971741404, 658068022, 213668462, 515553911, 976021812, 567377416, 733439442, 376360597, 678396046, 409599866, 892422394, 734127012, 327836213, 512772256, 433586811, 507107991, 290126123, 439908188, 775553325, 874924164, 742410603, 228798234, 305794769, 582273251, 760276341, 610850916, 16305915, 810051582, 995447153, 188400810, 529265745, 115453972, 385213159, 512082220, 878084202, 252444888, 993085143, 514462924, 524950542, 421036295, 19562447, 889352566, 75522430, 201958363, 447424413, 699973379, 534875884, 816412501, 839027956, 214241134, 309456700, 500346344, 707542904, 686161471, 384807117, 36133326, 940919650, 255246337, 203626637, 340988865, 598164384, 417340743, 206822797, 622625529, 142565972, 293960790, 510359771, 357528158, 666375621, 230533841, 971476294, 807351569, 747375054, 677396447, 640113521, 494309367, 100850234, 938372089, 816887698, 111055408, 510372777, 997605314, 206373273, 339205673, 460147546, 117710591, 912084635, 888267784, 309813565, 590349704, 807030825, 889987364, 744933409, 752375192, 237424752, 32956202, 106959243, 675474761, 115482323, 307388277, 904507964, 28105232, 508543157, 910285842, 543123034, 975847701, 656762063, 371442473, 386923283, 503445049, 865938456, 306330433, 999340435, 476965574, 401330385, 168601543, 194193112, 973318809, 66621951, 842022892, 460551406, 260643528, 495469432, 567954203, 254175588, 455195458, 344210984, 534972103, 920098096, 970544065, 818121943, 920955771, 121714032, 914729591, 307107938, 464319798, 23994455, 271998668, 594034124, 631801969, 576241071, 609047540, 402506080, 809624398, 179557957, 314826272, 329019081, 394128753, 311528152, 647200111, 351019838, 885897300, 701063455, 978065201, 216946510, 447649941, 275687837, 889760104, 939913980, 754815293, 461283024, 349123819, 225739767, 557756574, 200500331, 867848172, 279755978, 690082284, 941826627, 302469376, 901627996, 482996489, 984258509, 669096568, 805254920, 49761820, 525008937, 848220708, 907109112, 468196344, 762478612, 899869314, 712986839, 812132901, 216584716, 237490074, 792702365, 450253535, 986999671, 385766885, 732438840, 318841488, 569365667, 546584131, 263213064, 653112886, 94107127, 116901870, 404542654, 711493261, 993542671, 734074181, 547236483, 59639057, 158705309, 561337821, 398424979, 780911604, 74903278, 117607480, 450486024, 697634154, 695311575, 81695937, 232377628, 956706647, 613307710, 866555862, 688796364, 586767250, 896482228, 452542431, 726999356, 703263045, 374592560, 748561191, 573714045, 896818573, 231899745, 612033150, 436365650, 22298705, 582673944, 402091484, 765156263, 723277443, 912008371, 111862302, 240438291, 762217732, 682045949, 286654980, 179972077, 416788235, 779538767, 805111206, 808325469, 948138512, 280206076, 144420510, 159672849, 92619793, 182838633, 95956787, 913795001, 623764671, 603708219, 239963837, 641379050, 420473401, 614081745, 221084081, 920009623, 396518146, 571834631, 672378426, 526933373, 354606608, 788035789, 545623302, 961830661, 932223324, 333110692, 163671255, 169804151, 814702831, 789725368, 784650000, 833697166, 821256167, 54059460, 974535415, 257214523, 373847391, 211881760, 202226475, 565791018, 668822067, 788266097, 561416126, 476927883, 718978868, 909903716, 198215687, 884374859, 396617733, 964086201, 795219868, 596033080, 377716678, 113706750, 811987232, 576044147, 221209155, 852475394, 134889783, 699267396, 153315378, 979187154, 935288123, 182149824, 255216589, 881538790, 631679378, 762356647, 115994612, 83728326, 583211339, 397020670, 544744913, 619435410, 334300136, 385726758, 168520286, 540839095, 807273614, 120648622, 285335901, 183997864, 2043740, 593551504, 692448325, 657503847, 579293881, 428626563, 195222528, 607440385, 974444953, 438447595, 559585492, 647707357, 847260648, 340723685, 410208334, 514844129, 705101916, 151820061, 471335460, 200759107, 612441677, 709718945, 449330869, 116174763, 665621024, 475298901, 820599227, 335045349, 656804976, 210298915, 585510452, 783656789, 875371921, 614910503, 871129129, 951329455, 119521283, 175620890, 184122126, 620537014, 610316410, 682946529, 134436837, 691048929, 375196453, 100670951, 823270276, 583373683, 736584562, 609299257, 818277182, 851315716, 680387380, 934452263, 907999285, 764299049, 321365405, 314221627, 613056685, 560444217, 302541666, 606333067, 846003154, 268358026, 364149785, 82069597, 951576492, 182526837, 675079055, 318157063, 463220587, 791287145, 867759910, 62358070, 860477145, 438468177, 177071150, 214470288, 423322928, 556990716, 243095980, 679389379, 529566764, 836824353, 428105600, 839013945, 316700332, 799703262, 566321870, 285196972, 984548763, 554682146, 434555824, 417884292, 185525306, 228830196, 461151248, 634678092, 36451933, 407805218, 47401782, 857174036, 332305672, 514107848, 371684996, 862112404, 25382775, 316320036, 748098178, 396748036, 851732610, 851208989, 489088174, 153337010, 519049902, 610619575, 189647647, 746845941, 182260345, 611648063, 28563007, 767439638, 255261578, 594054679, 959600479, 640675781, 419590643, 402740208, 627505673, 123709908, 335393013, 373020213, 293301473, 181968473, 251192746, 739292081, 488331580, 270899573, 304087602, 250843565, 145105072, 893656715, 340286293, 48108172, 392977087, 879846609, 865618216, 755619014, 779537941, 379927251, 225701632, 170245826, 909800050, 947425042, 456901985, 600677787, 519396074, 799352185, 373564636, 313522, 43543400, 376037315, 69236069, 85268651, 455265717, 692565345, 556732399, 912010652, 976459108, 943038789, 687819347, 93742940, 263343559, 731953030, 594105763, 864625215, 873606701, 780657473, 567691521, 538598469, 296000459, 481351061, 626406399, 573579952, 737942593, 247541014, 623273377, 978228806, 490979452, 688789276, 964442441, 597170672, 431815215, 428128065, 210334627, 896352805, 922238517, 22978901, 56265874, 719041973, 742660897, 823128244, 374075397, 916990823, 275254871, 197704297, 989273446, 370134254, 927028884, 638065367, 448561588, 852987736, 478335231, 330948070, 615118618, 803729160, 703075758, 788175491, 38892123, 480085281, 817449930, 549152010, 939119308, 308490311, 321672869, 697088342, 612720184, 780003628, 920402949, 166008591, 724266051, 194917295, 465904825, 572805048, 277267949, 647461951, 61749989, 900662155, 969794724, 998358022, 429842175, 220559310, 286710859, 14328913, 514928027, 465186078, 327192927, 973201322, 993786557, 919089360, 51243744, 120872027, 665978363, 262881196, 798776210, 979163328, 885729657, 772916126, 229423298, 806534276, 817231642, 952497773, 162383257, 436454722, 726536912, 581918860, 279541219, 589765699, 215996002, 607320667, 162816337, 63288398, 823531493, 911869840, 8694232, 276370109, 182897472, 256975892, 171090956, 667180517, 116691404, 79184375, 133789360, 605609122, 712506406, 135571523, 450966423, 626096677, 874950668, 574558373, 382310154, 471885363, 589971357, 921552835, 9542904, 639668044, 189313346, 317725412, 623972251, 332479201, 504596274, 712451902, 802718358, 536524638, 460684058, 122107320, 922189837, 691218768, 164247671, 969937800, 611281305, 263008695, 367229393, 586048651, 861453782, 167471838, 157104039, 762918603, 712252718, 717807572, 977247606, 442558536, 384197658, 648823123, 717214619, 568906868, 905431622, 904314411, 303856446, 10998048, 377918238, 129610395, 780630835, 968110717, 827305938, 391135789, 972399035, 581346853, 998813454, 132990688, 483869678, 861978831, 53545400, 688869781, 961327384, 948394285, 341725148, 314922955, 278245907, 614761297, 886958384, 81054050, 892031394, 117040139, 385074054, 249827990, 971713053, 770628774, 685919230, 906539561, 256139030, 126047428, 989302180, 642798623, 618277131, 621746003, 607302255, 404913183, 52417652, 35961656, 642389040, 870215670, 235004457, 449195318, 343977502, 168182850, 672705525, 697716834, 825464548, 606935619, 829812039, 899906909, 999659043, 371737782, 686325280, 79250015, 512249278, 731960679, 266084172, 375268530, 845653298, 519424770, 300967692, 161194525, 269079027, 200212333, 399165232, 947340192, 445609420, 524552813, 536915359, 961490620, 449426111, 417561213, 30877431, 803907250, 354826006, 2097029, 545166313, 860369142, 434479940, 308380967, 851363717, 25447691, 183376278, 213515233, 396949452, 994979281, 113767566, 650075662, 441104935, 481649725, 206029197, 657651333, 243173554, 278467842, 669828667, 637674947, 155007935, 415409762, 576937276, 953519569, 559719468, 744512328, 742430759, 165592820, 401770329, 346417343, 144966813, 731406585, 876579418, 224771699, 892681625, 234092337, 251262715, 871583674, 708202001, 924990942, 7209880, 84265826, 331020973, 989095841, 654434562, 969565269, 705629097, 973558073, 19876453, 801569312, 414931590, 100209963, 807174159, 174345286, 966248780, 765800644, 546531854, 655843653, 591810240, 81590486, 59904298, 92458332, 818373329, 17568766, 227213152, 393674472, 194539410, 522949629, 318998465, 262696628, 841408281, 184957444, 302443630, 978293339, 944999768, 826992703, 703904031, 262742485, 461223676, 479976587, 666866460, 178055443, 140058962, 574826055, 43396201, 883157844, 1100430, 822103013, 482805371, 996917793, 342788413, 811373353, 820439793, 63576317, 644317482, 702280562, 720919969, 894880935, 570181239, 406126817, 845204330, 312886303, 303578803, 706573525, 391923267, 545772956, 838806053, 775888052, 584147239, 830059658, 254340680, 604802644, 762873258, 881414936, 860368834, 225765957, 473812272, 71126142, 787129499, 768471033, 452430649, 687682406, 769807236, 593438390, 391516700, 236363302, 140957627, 670257573, 958865346, 990662987, 844028463, 400827712, 826166663, 608590733, 775253823, 365915012, 131137839, 885559886, 681384904, 454368167, 452645885, 266394763, 239878687, 647591272, 967165437, 376655558, 683436930, 435207900, 795816275, 122365797, 808042663, 3825827, 642216831, 439197620, 14406671, 551005946, 979455021, 815453794, 27840161, 690923584, 983076016, 59433425, 960171977, 479493245, 224756780, 245817873, 422743600, 89326238, 596854208, 744252641, 477840792, 705867514, 901677093, 119474256, 285224081, 58741597, 153532838, 92335023, 379216862, 571176548, 932451528, 31400094, 686312309, 462978255, 923216750, 193479985, 872522624, 644375568, 413125043, 828762594, 803649994, 787440779, 741977358, 651332111, 48931113, 407553192, 417881496, 737324344, 798108804, 449116781, 633778960, 922454447, 973463214, 323445422, 788848060, 292575880, 461558723, 705916487, 687096029, 726037533, 667561264, 259681355, 86312869, 397909144, 193421088, 698189499, 617050984, 945640191, 846391861, 308329884, 490385182, 146570530, 27834996, 867179877, 513040224, 223719104, 807476131, 328425298, 773191152, 740315457, 390207220, 835344859, 712740191, 809327344, 593379237, 813879252, 892811552, 863875194, 85087631, 530507225, 481812116, 117877870, 544807119, 988581552, 936011402, 30756631, 847933477, 955829158, 342304866, 857986807, 446423422, 670791848, 596967790, 787560369, 791228088, 688328238, 265375739, 415107519, 2571782, 238040981, 628620592, 704503070, 80228612, 633766433, 393690909, 404720240, 402145370, 929445195, 361706511, 479572929, 187055390, 463636893, 283967160, 378444422, 446084107, 37628444, 918486384, 887878761, 669351880, 496523265, 453860722, 617370930, 248600918, 319176341, 807384744, 787923863, 600256309, 39133972, 278097765, 733438333, 745139819, 627838016, 575761523, 188898676, 843997370, 202600987, 132200795, 405364877, 703355813, 672736471, 402752874, 724454558, 66721677, 728393002, 502746254, 273009679, 943007699, 77480715, 422736081, 805996196, 793589789, 856581890, 561842743, 353465053, 39133127, 85230213, 329079545, 55275548, 677675112, 257025525, 883975814, 704536425, 801303103, 618712365, 395908805, 319044795, 952055233, 910606518, 826565411, 200356867, 608037858, 498455292, 970134255, 338839518, 397178794, 862234794, 97082413, 483604989, 757382205, 666491826, 606948757, 790183583, 902178932, 344908722, 174506800, 873042807, 748384559, 914883879, 556988886, 19707308, 820079746, 992717644, 132689692, 764892644, 621734646, 336626291, 685323659, 904122876, 831427268, 663429281, 556288880, 386481658, 317343377, 490720184, 762243254, 755511594, 934658630, 997732619, 559096976, 506329727, 246861293, 500756815, 454165964, 28052999, 252975746, 555568850, 996224232, 36576431, 641577844, 967709774, 817682973, 789354099, 88071654, 516105950, 911148441, 354644128, 431732829, 64275907, 928787475, 366980244, 204020300, 241937554, 613501692, 736798555, 539599850, 78006767, 309755482, 231388479, 738373856, 223982168, 284090605, 203372172, 197456543, 162067322, 395990965, 750549652, 994801286, 566059177, 297123330, 883381832, 684351869, 153961313, 915312875, 22721509, 337175844, 643329057, 713595604, 291564721, 676303368, 549034608, 81395479, 553929469, 214060126, 1029583, 524206988, 813036369, 769172366, 165194077, 313376366, 502379858, 107844553, 92548988, 65443299, 450581244, 427838475, 102304873, 843569048, 487892343, 920103589, 216166967, 34278329, 299459157, 578814462, 848327647, 108446701, 382738630, 113794782, 123116233, 689424553, 614233790, 501727886, 726348979, 62688403, 264819659, 10136182, 228847810, 772624788, 20472823, 363663608, 814273889, 204446917, 915215338, 974066569, 258749485, 629758716, 542414270, 445752218, 303913029, 438949846, 512517259, 134292603, 847405242, 169063776, 282323951, 885631239, 477835165, 483224783, 939707557, 797066191, 893398664, 859857487, 994832155, 336009334, 831772370, 779205891, 499925574, 473169465, 200126511, 851924593, 269575133, 126301593, 525422348, 40271292, 51895092, 660112941, 391620661, 835955351, 466149902, 50116952, 740155238, 899805505, 253352349, 837231837, 265027343, 199480759, 691120059, 788948306, 607247576, 165538620, 873512678, 623455768, 819444741, 595287256, 947922041, 326462531, 373174830, 812049219, 897382613, 398991397, 482803763, 743892995, 700456812, 568397645, 390697448, 570389764, 258763728, 349104835, 348576360, 517544542, 368656049, 793263549, 132224059, 499335499, 630671522, 381895253, 38013230, 960756510, 718529757, 405472687, 849808641, 454277416, 365816955, 438542796, 726366258, 558400119, 250673195, 26392865, 571592525, 347809294, 844006044, 984377169, 436211774, 609819842, 221006792, 356267406, 759051001, 549404900, 971675571, 583018494, 612373244, 467784740, 197898351, 170571231, 266492929, 818350935, 188961635, 154447928, 980695873, 474888976, 449981565, 540045475, 923372488, 970318479, 937107449, 927444914, 641877117, 586411631, 743208361, 463251508, 738868453, 656639117, 381863005, 750689770, 190232977, 466457833, 880470255, 921193273, 638859999, 79179216, 666235349, 603825134, 645004915, 199053719, 222270308, 195242620, 584773589, 129602716, 999970134, 965958189, 50233019, 204581605, 514177962, 801418967, 349096876, 437007043, 696874279, 454942869, 446278432, 255728452, 317795954, 57244220, 815486881, 758015678, 409496625, 479029996, 737111165, 989260795, 599515069, 423297131, 153674739, 35705330, 628980536, 960480772, 641055015, 719101866, 84222850, 90241041, 499186039, 298154557, 473531982, 487430621, 63280298, 3667743, 303836336, 363120326, 259372254, 730068192, 264629856, 617006795, 372506776, 455434497, 606415223, 172223327, 577118158, 225144301, 911356451, 901416976, 547205404, 495697065, 475332061, 529274056, 958172747, 453679069, 51968705, 753594053, 950398232, 245909563, 619499106, 26856622, 413582687, 303664036, 331925226, 353094350, 873299542, 162029097, 405897126, 108137676, 812406113, 668826721, 261385555, 157356200, 867868674, 33671962, 772597645, 926994122, 768320427, 908356500, 997039290, 140085145, 443553926, 998262743, 191017610, 22967719, 72328040, 693591425, 81504653, 656271910, 654845861, 957828571, 891194798, 823431160, 264225635, 740562467, 306566928, 643757593, 310501191, 310442803, 962321158, 574886071, 423249947, 974109728, 528031610, 47658248, 910884070, 844287025, 270786160, 347519770, 26624165, 511066741, 966172820, 21043815, 337959945, 968224979, 373025435, 218406019, 138167711, 557266252, 312820107, 20752134, 421978623, 859167915, 302080362, 451009568, 679245748, 154312601, 889650242, 71880242, 618973157, 294369986, 3132837, 967757557, 263675359, 847066591, 379583446, 624107835, 78543969, 881633582, 47288676, 853649256, 910268841, 578672830, 413635229, 673403941, 464805031, 828468655, 165198672, 418292597, 679174311, 164366083, 134512055, 145818049, 826059545, 342064142, 111446462, 48122276, 714382604, 441445256, 943750268, 571768581, 136018635, 187644319, 755907251, 65575997, 422536029, 303484571, 744311318, 820818711, 486056402, 924364450, 784907380, 176016273, 43529120, 878737584, 339098936, 704342167, 452633217, 16544268, 54737028, 661604787, 127282809, 959020368, 747437709, 293908004, 981656425, 15480714, 28417854, 792548595, 91612921, 453473613, 259964974, 267026395, 372057541, 573895214, 804326076, 587470228, 269729041, 723908238, 853433588, 976274272, 795066001, 460428912, 874526302, 285260249, 621420986, 682968239, 44989433, 394071893, 53194464, 606182771, 14619781, 310246532, 220168351, 100437291, 314054631, 807375075, 492179756, 997937382, 47823793, 873226831, 919774859, 701049883, 988150835, 466569589, 607683131, 769909548, 508917733, 737024072, 776102385, 273083066, 593327258, 779776598, 3148777, 556641527, 786205334, 104806453, 570513293, 465625414, 358464159, 694613427, 289477265, 574043257, 528896410, 754731626, 440267685, 658186964, 473453267, 645002088, 760168168, 79896964, 486822901, 504673673, 41878941, 71792760, 479403213, 132130855, 274910856, 348773045, 213489497, 544279947, 537350164, 40931800, 674503136, 511639378, 587013116, 261225389, 800766927, 763984733, 671370680, 120833663, 924869237, 107892284, 565988401, 943079096, 158784286, 244297833, 500527267, 524721037, 532677338, 251803295, 335260529, 284844198, 752517155, 124363465, 710552459, 332085986, 79092330, 751263458, 551077211, 73414440, 643730784, 389668684, 340316086, 831210441, 267281839, 622879012, 438515497, 390822591, 320749978, 890562676, 803885122, 910755593, 512062404, 720873969, 894084459, 628884045, 982391617, 278350352, 535939301, 200701051, 795800066, 622940788, 743493482, 98522656, 693357568, 405332838, 377272662, 607869130, 483994213, 459432220, 87985441, 941062596, 866534053, 980379818, 191531664, 562473589, 162655587, 397516031, 611580019, 331477204, 95015624, 465362285, 202721448, 520936623, 731475497, 318086982, 265108273, 990136136, 835194661, 780111882, 121260507, 88857256, 996759562, 776559982, 46526888, 616335369, 519110347, 937557680, 639772917, 942290618, 289797867, 880600726, 445952974, 704760491, 404449045, 275747462, 505402523, 5990106, 302393344, 630314978, 859479603, 236913322, 343791218, 451726654, 195935068, 10236036, 61973998, 968640208, 193712913, 520009635, 795118110, 6173351, 310094144, 344296550, 729377633, 534602065, 761823237, 695295524, 68291470, 41748188, 84897716, 358277357, 939757181, 249391120, 488878174, 861289412, 5196668, 478317741, 565114580, 107510506, 737618625, 471462912, 591103894, 228963424, 283224790, 621236765, 222867756, 489617399, 638329380, 972272505, 398391465, 271170678, 149837526, 678867865, 553424057, 394166688, 371382438, 245822891, 369182065, 635850771, 286409873, 210239318, 79061340, 868431399, 345094203, 197021628, 95345090, 178470248, 350494693, 224568562, 503752723, 443789166, 226410346, 600605603, 674328975, 881252885, 25815293, 703715792, 388104418, 673778929, 878732457, 412131201, 536477784, 534127503, 628545107, 804827436, 899542643, 120606461, 271695886, 603161262, 605982580, 384990338, 384084683, 34183036, 50053457, 242032862, 465621844, 927037988, 787980469, 408634719, 484860233, 30891031, 222640075, 804701580, 739725524, 173141450, 515495560, 166375320, 150455553, 635583748, 192596914, 408647982, 273144891, 356685517, 241334250, 199629196, 522455205, 737241978, 515720430, 178366604, 880254257, 122448141, 795859798, 930216495, 762179922, 906200448, 213157269, 710197716, 20771653, 320065923, 5170704, 818344462, 815145313, 140235481, 306949005, 589840447, 869064934, 348140943, 465030676, 246362399, 799672205, 821615727, 551498413, 277260682, 579970803, 566651583, 42593005, 74777112, 967429344, 195501346, 922716081, 421289206, 739420906, 64363054, 283561643, 275962780, 494774437, 789068205, 405024194, 483862352, 574899559, 401757846, 173197963, 761950362, 586751288, 797332811, 420179009, 214293185, 166939136, 88288917, 246795739, 502624802, 823131100, 691076712, 468242046, 943453946, 800375900, 408857284, 833916359, 190523170, 938467185, 331005919, 207920874, 409950005, 646392553, 981101106, 943435167, 481180073, 686764310, 767123520, 692312353, 774321255, 921967814, 809001619, 161139938, 441764148, 582022521, 101499238, 769939564, 533840386, 531579777, 323668285, 736056274, 840666616, 657510840, 848091829, 460851996, 977898731, 559440571, 672894916, 320328404, 729857010, 428849865, 39082340, 460149621, 838407309, 701979557, 316205536, 335721415, 727435818, 163661839, 483536953, 965923311, 482211940, 924904721, 770958265, 646798995, 616312214, 479728902, 846291599, 643695215, 569078529, 183678424, 956811652, 357281682, 158565183, 389459215, 506802653, 694834972, 569030765, 962594766, 197568975, 696617831, 684798653, 897889752, 159638959, 269150986, 384947930, 941378817, 32089227, 143966079, 609885071, 310665929, 203389004, 880013582, 743770857, 274642086, 698244648, 777801645, 213057204, 971672669, 316603568, 108031716, 706496125, 822259355, 656198548, 78086070, 551809815, 94347256, 571278897, 790215185, 47705922, 71968170, 639287111, 385332839, 647468497, 879013699, 474819, 229566440, 55433383, 49635426, 723430416, 504241394, 950623050, 468188022, 595692967, 100689008, 417117000, 602637805, 712672849, 274830924, 420749934, 794427799, 677488576, 946444288, 395791008, 185020432, 647004676, 73064760, 139983040, 787498235, 688419272, 117376050, 261963995, 45373969, 365604656, 233414722, 229962253, 787056207, 786475799, 143330781, 578170280, 766694378, 628584554, 940570718, 960758338, 863999198, 843329977, 977362283, 330390645, 604002101, 778730111, 700354102, 882215683, 491049815, 695211877, 25273529, 490965043, 587189988, 894285533, 205535004, 421019025, 266038175, 605854002, 349813868, 972233664, 107248036, 885875301, 959306383, 227029453, 126261119, 718053567, 484030383, 442840603, 666959150, 313955655, 26705224, 509065208, 250175896, 528714339, 448519785, 608417163, 774888833, 846182275, 581564098, 380486443, 689777931, 223153498, 914836395, 264017247, 117781674, 871096127, 317419173, 151071419, 363560404, 707465846, 650602218, 798964735, 935485103, 723848140, 234586941, 618372979, 150356020, 178471720, 481654887, 247048784, 737967599, 955165951, 18426398, 453713156, 508573256, 527643180, 35902083, 964802851, 177358694, 926352082, 230659029, 566442862, 596223563, 975248374, 322395264, 711042483, 31877419, 117055455, 81068688, 840898436, 113340682, 16942018, 652701609, 219888807, 542743087, 30097105, 276088300, 378988170, 237630635, 146276538, 988310249, 83514882, 629817785, 214085132, 43354895, 457226665, 667591998, 132693644, 70064664, 866199459, 44502383, 798469421, 598574541, 812210278, 345691839, 231217461, 176064824, 415685599, 125360264, 695401054, 109392523, 118624825, 787709111, 702504265, 966030590, 434722431, 174003413, 21423265, 888668493, 825099902, 747308511, 145109983, 441290905, 635269413, 225709091, 255811932, 630763450, 957003062, 271614243, 238057113, 799838270, 514105866, 339502471, 822050487, 35718792, 121798020, 206005197, 972279936, 859865053, 107969471, 256927075, 280127701, 121255451, 280256675, 334189811, 305041154, 886286835, 399829563, 842272948, 424051348, 655836312, 981162283, 206349521, 717556514, 845106700, 658131468, 635666348, 875715857, 610472065, 152940338, 10769513, 439985599, 793552322, 651106539, 354535216, 49423594, 194181187, 909819031, 136924816, 354824876, 534431338, 933938079, 534886236, 946137316, 526200772, 208675999, 734073212, 572187226, 70071580, 179946096, 699313791, 178447352, 930796746, 575050434, 842149214, 924900139, 576435589, 523898250, 24386557, 140794893, 654282063, 321944122, 769650994, 147540660, 5697624, 899154054, 158321670, 714222303, 691720688, 747091974, 994904044, 732136011, 222129723, 712793727, 176482280, 335966037, 247071565, 443339667, 976089952, 851321071, 183452925, 22259808, 163371403, 266303530, 632365062, 877258175, 477839496, 387700965, 726388647, 423064365, 958702329, 161883994, 29690117, 684258595, 979291243, 726287938, 613282828, 854452428, 975503689, 190855442, 67687636, 961216136, 631337984, 667140838, 21575952, 814611482, 693771581, 339989465, 310008587, 65439909, 790424391, 84458477, 712782284, 224104358, 278389588, 936843264, 489593234, 836398727, 301304376, 461312334, 611636048, 337159007, 623030116, 465615300, 548885173, 177563731, 605279600, 784132904, 654544359, 426207401, 713432644, 888382607, 676834909, 957891676, 694119415, 948702394, 364534663, 701826428, 475185507, 497188134, 943449211, 567925103, 516510185, 71682449, 394336032, 686011513, 342011286, 391274054, 278094928, 565612252, 588356905, 232538879, 246074463, 115803067, 220596762, 841581547, 237490814, 880073478, 740278801, 990336857, 652211824, 207942969, 723614743, 62693851, 20327856, 275464249, 635469666, 572776709, 126546937, 799866398, 448696935, 931213540, 687824346, 365929233, 2053223, 626886257, 908960575, 751307781, 244075911, 439316330, 787851180, 243741001, 181877165, 212687295, 250383702, 540528166, 217813528, 166153717, 175349348, 718000239, 837914422, 805251931, 441416588, 686816919, 656447579, 524584845, 984955876, 33671691, 254188249, 673365282, 244703341, 397145880, 437814423, 593206321, 540310768, 329893552, 240026886, 429401491, 560755555, 328945660, 772674438, 241598062, 712186625, 543770198, 683523392, 936172872, 217388681, 881256393, 16830693, 177459922, 857307961, 133514862, 125024437, 952179717, 81901735, 975807830, 107901631, 380931548, 308714936, 936549133, 373769169, 646779658, 627474307, 927773117, 850430874, 247160966, 32778553, 290958478, 857813439, 20636022, 272995014, 47241802, 452131722, 355217295, 128274565, 475428658, 313523209, 715590046, 703623633, 891588081, 975003476, 451195438, 950365554, 751444459, 223829899, 932568, 24086733, 997041092, 961159186, 468821683, 496100171, 164902682, 259713050, 144698734, 32134691, 985488502, 46053888, 444376259, 718688528, 886025773, 248825898, 248231911, 436210444, 302063961, 36613674, 100142069, 405412960, 16817911, 270939313, 863748780, 782779308, 476863017, 438373876, 738855865, 531345742, 583557995, 765481398, 256012346, 744142518, 507263450, 25378357, 837337127, 346107352, 309853101, 194201382, 654593740, 45413601, 378099023, 798805894, 696003855, 97624017, 839409593, 857756040, 326085586, 570494453, 829143178, 755607350, 418912574, 624261943, 189916293, 559793239, 448378029, 610113729, 701640032, 239506906, 370132670, 216923871, 503275052, 636732594, 289395910, 295581947, 871058864, 392627315, 469501598, 254218363, 782687545, 518696883, 412668276, 141950152, 674310632, 276205980, 904053237, 649759320, 472168606, 771631392, 237898635, 436502365, 512737339, 716812848, 969417993, 991929312, 657605570, 203529344, 232312059, 559653774, 511913864, 661022141, 902995986, 105710572, 582166281, 608880596, 828852217, 251459919, 297705125, 401777684, 366811408, 422175629, 562790119, 148074678, 846368494, 933896857, 904998396, 31627529, 404704403, 934812370, 518281257, 289780699, 366351383, 678352784, 915715604, 173940703, 139205886, 160978464, 159443480, 991666438, 733165363, 680841872, 796572076, 789460669, 556729601, 641797695, 18167140, 90168910, 851224977, 657419727, 114442594, 509532254, 888107870, 34934140, 16229164, 612938374, 328750374, 652761236, 857261256, 187001174, 125483294, 337853717, 201892771, 69378062, 908432279, 240643537, 795447968, 726500815, 352173812, 953996079, 683077433, 920792886, 556034830, 801272578, 148204342, 766693250, 544574657, 773475996, 493978814, 429888870, 252137705, 660702463, 314971045, 927000093, 399759496, 942883349, 945569157, 452203324, 753882962, 39658626, 861448215, 131993800, 316844327, 880360969, 700516282, 834299971, 2390045, 24587586, 242641000, 782666967, 506101596, 921765653, 297791704, 817888245, 978488676, 945060583, 672242654, 954174968, 104277823, 383822861, 105871305, 51120674, 867231035, 167886727, 997497451, 917766482, 994112378, 312995438, 866935977, 478750872, 859864384, 107484218, 463349007, 798293718, 672467112, 85007489, 421658114, 530800955, 410179511, 575990490, 190074907, 968465168, 741619989, 694381130, 25056808, 237888809, 166055166, 634440465, 95448884, 120840486, 187143398, 556101897, 153082477, 697723485, 581132005, 132706122, 597516453, 162324831, 674695841, 969706466, 860797918, 594141913, 194508071, 555005941, 77494402, 129875785, 117470207, 343726690, 261913344, 421145425, 652681408, 898601179, 134947368, 185531862, 922455891, 993647208, 547227817, 640264941, 475087705, 629496561, 226019815, 678020333, 236477962, 791787409, 641197247, 118984411, 160268209, 667393706, 152104060, 677530025, 127179496, 709596345, 71830148, 93188926, 176105288, 746200981, 300681468, 817984475, 404155263, 467789638, 130847810, 503333987, 442143760, 42516390, 997047347, 395296136, 121953134, 345323133, 469682553, 363512043, 759311644, 709359054, 982521659, 851986742, 171496031, 682091849, 508035342, 859286783, 643931777, 157236269, 477647717, 166085004, 722579272, 748027468, 496921621, 425306271, 56460017, 151303918, 755080160, 279256672, 227574876, 16920993, 237875084, 407857424, 63952313, 837039229, 654836389, 433857032, 285422046, 376552965, 882811803, 552255329, 419077537, 470042296, 253731241, 72034593, 429012430, 860816187, 314969002, 339096458, 313203811, 825557332, 77805563, 423545773, 472199798, 950303581, 914701389, 622022737, 942687380, 635283630, 174247379, 453269500, 682371585, 995462949, 384579795, 323560956, 429244367, 249952353, 152914488, 702217307, 198006366, 769376045, 500446061, 831291705, 596830753, 414073223, 289909077, 667922324, 83010679, 500824587, 587018739, 738367386, 172762335, 98592425, 84623223, 264478025, 671149297, 175479375, 696715034, 684972882, 480974093, 855886456, 482943954, 598234149, 172973180, 428123645, 639537402, 286581942, 91256900, 158507754, 870610752, 38257658, 868150238, 146350056, 547824412, 400211160, 376984086, 111790599, 892390107, 436845036, 945418013, 321578301, 522500443, 973840201, 495795310, 172701803, 497025329, 549532880, 585031586, 268462585, 28850932, 306575834, 329531346, 644293431, 910620621, 188297542, 567667286, 134973418, 377218507, 169385488, 959675015, 780033530, 686766625, 771756327, 451873460, 725246748, 948132693, 714235952, 58219198, 182581539, 871339263, 251662230, 390162300, 206753362, 996175136, 78316066, 134614369, 520749387, 894919602, 461380291, 531962253, 647286150, 65340310, 701288768, 2921841, 336309996, 329939561, 761650007, 748996323, 575843864, 842077096, 6993788, 215382838, 489077595, 101446301, 74967471, 741394266, 894600557, 880908037, 354994785, 437953348, 31796653, 480624591, 651487197, 803289400, 909192009, 644685447, 943924986, 463148244, 417164605, 494797876, 26415924, 374491051, 657552247, 494207716, 46757841, 237396748, 569342668, 322575053, 526927666, 800478006, 225456051, 586439460, 330777277, 548699151, 147109473, 691875374, 309265165, 960473003, 82074737, 161198297, 506873213, 22088830, 504604167, 165179104, 40567993, 374757030, 465938377, 360191472, 202175185, 173392799, 114665724, 562688824, 86906781, 449429624, 793793612, 341428026, 911351165, 363735090, 386228142, 379036790, 374858679, 173138815, 846661075, 399896092, 303908836, 558207450, 405212689, 563117315, 574506735, 367277729, 186181511, 304275957, 125253927, 201184901, 172764816, 633071616, 18228695, 191110523, 83822766, 170548392, 106591641, 948081276, 317468612, 841011521, 949512935, 450286781, 518783474, 599543883, 870667826, 468142316, 801950169, 347827379, 390022414, 164330383, 857308635, 568863533, 305017649, 418724381, 37466849, 762060078, 853188133, 81869546, 154868006, 552536051, 601208878, 534306146, 368993056, 794258316, 992556723, 60593559, 582834420, 327556705, 243328030, 148718277, 387569811, 934289187, 73025211, 68156096, 667547910, 906360413, 937245665, 898194774, 772173656, 378648639, 21728081, 212758620, 155014187, 829477567, 90665635, 210270110, 147150037, 74076575, 638144688, 931009703, 688688730, 119254181, 140060885, 257662338, 202162732, 322070921, 559344556, 235898513, 776131614, 718544612, 782366569, 524848084, 281248351, 146041453, 475686813, 350682414, 79458615, 90158529, 328207548, 326297532, 12590192, 185141375, 58642356, 841379988, 615941862, 142561788, 475858309, 363831118, 770489347, 381593028, 134377733, 335933734, 22773633, 385017363, 939631378, 249906010, 806483139, 115564447, 529443122, 61868479, 478196910, 119499794, 728210282, 532169554, 408192404, 945683569, 969372995, 173824942, 162475143, 25483873, 67364572, 43523643, 349786713, 185217021, 839108952, 827544284, 138283401, 449778489, 275226028, 665891234, 696746612, 92061760, 704966768, 561527910, 214262485, 82723536, 147804570, 360482843, 215656052, 675794614, 705531899, 958443571, 826005136, 709603941, 645720308, 639796062, 227728059, 298177492, 623507842, 461719658, 58455899, 887525459, 115768428, 992499276, 522923444, 239330253, 241529911, 240037491, 653168169, 192236885, 353807552, 545874745, 306803682, 33225978, 683026170, 799840669, 225769538, 657201408, 792059566, 636480042, 256174319, 926153066, 196996619, 433259347, 536959537, 555239707, 504681861, 521027554, 572909195, 926632720, 613757564, 799922825, 656160426, 853646302, 304546885, 924700588, 444972969, 982588341, 921014669, 621786721, 764695967, 942509676, 362267422, 486813154, 900610444, 609460336, 861646296, 998665057, 438902376, 391512054, 24365420, 335929992, 375176394, 842737796, 835430423, 566770338, 860301698, 623154136, 435257796, 484249021, 368162132, 336192472, 811936726, 257895890, 402124446, 257386914, 91623178, 50120098, 99225201, 79204999, 50169195, 451772892, 238660591, 390041067, 620024254, 817660275, 927730343, 258573729, 270059533, 148544460, 771031637, 136209646, 941400895, 739762794, 381381441, 328795222, 565593734, 795927437, 398332956, 809484676, 521018756, 862242500, 843078520, 659334479, 900312741, 4546535, 894696467, 138027774, 799927174, 429868598, 973739591, 231987266, 760360819, 483605855, 46062837, 331046640, 137306217, 650665303, 731660714, 930346731, 661626285, 785510359, 520955060, 362258551, 430444, 708797497, 254751385, 985049799, 765805107, 562110834, 598861304, 234167252, 374603604, 271289826, 337107575, 533130098, 390975048, 542060877, 607424388, 320661448, 449551351, 104623404, 630633144, 863374218, 927831650, 46466675, 851355121, 69450494, 507162300, 354110002, 662901268, 331164902, 741035059, 85656378, 387244694, 128087733, 417672297, 622534218, 531867296, 419116948, 680098259, 426719542, 762681129, 33216737, 769071272, 757078138, 370817494, 360853768, 73231408, 466951809, 103465742, 187452234, 373775765, 899510466, 741160667, 302459525, 489570216, 194156998, 413854778, 470876855, 9344347, 311581419, 425305137, 647881409, 863270455, 492248097, 106460509, 926546929, 804812870, 732915392, 450931185, 785666398, 532334683, 65876972, 979656592, 919383540, 831745720, 77745461, 60221636, 690846033, 579534977, 902419931, 630326662, 594168420, 356547642, 554065279, 138618844, 496838004, 740457307, 935112395, 753300567, 481880920, 523094111, 137032378, 747935064, 464768117, 740549173, 705850608, 996794061, 612848867, 728769289, 882454768, 945726178, 338876332, 840641174, 299712055, 538372906, 123306261, 107901338, 561172934, 763994914, 427260042, 832095400, 881402757, 706884759, 277793946, 208301942, 540802443, 138208743, 229741417, 884534816, 997309574, 915830288, 345310362, 481461958, 151410834, 725967056, 228529339, 696073415, 771651291, 760920088, 898706005, 760136536, 248705596, 747138945, 148833661, 181865015, 861704246, 888085101, 250737379, 496002020, 732760453, 832177595, 821079397, 346442896, 923946490, 407545873, 347642559, 508686268, 762084477, 452184697, 523382851, 130668425, 960964395, 165234366, 477433246, 558890579, 951934247, 264687535, 794691581, 747131492, 744113593, 808568492, 603326259, 522838977, 579718225, 150581400, 259180960, 804194318, 508193020, 775721498, 490703202, 998066529, 151293238, 953699382, 140021083, 584214691, 234955870, 759539668, 937804249, 480964392, 402872967, 14297146, 317394305, 376458606, 358192909, 665300754, 203857157, 2537787, 505757957, 464750115, 869053089, 924973041, 465343813, 283956523, 856861331, 873760574, 96618303, 397221152, 189929252, 497548463, 989941701, 848293074, 339944593, 944396836, 312410650, 187977308, 67641374, 56412432, 578521856, 78189752, 769409679, 792868285, 342065721, 859096865, 618841702, 635215588, 365768059, 984295959, 79807804, 171841219, 928335981, 502351801, 55596915, 9329444, 264279575, 543971160, 918784838, 912751667, 302901153, 994304106, 371005700, 185068122, 469793634, 812799295, 693836133, 511599547, 7020636, 522401532, 87255130, 143464402, 743080251, 803022592, 435429013, 752377992, 536466256, 573040946, 348581226, 534637752, 903834368, 632901180, 209629009, 226504595, 683495778, 137635280, 667746476, 102600186, 257971611, 729183647, 606198649, 730745044, 290415263, 999582515, 906861780, 630115984, 830877405, 719005346, 382946381, 345709305, 636798390, 477365459, 792676008, 606619821, 561159895, 536629381, 524500206, 12657640, 148527931, 292234292, 480784360, 532678523, 540134186, 671872508, 555212654, 465234703, 31309666, 529294837, 966306736, 544947567, 114866766, 36918679, 434402941, 826282151, 506492560, 742616890, 66518472, 902213140, 398199551, 619248374, 407311089, 532501229, 911601290, 951342188, 946673948, 3489547, 569420136, 292652731, 334676511, 607154937, 82989062, 785917518, 522642677, 868480025, 606469484, 15163149, 603265611, 921390363, 142993439, 31091322, 352082009, 198131027, 497135237, 924503577, 887749018, 260060250, 474589637, 582920218, 135168810, 307221675, 750053358, 252527291, 57575871, 358456715, 459435296, 199258252, 423598607, 776552944, 596484693, 4659253, 759187480, 346576223, 951240952, 288181201, 999793404, 846754321, 577586476, 281923166, 523806504, 993627722, 261695575, 76751819, 488303642, 918171506, 57307341, 926081655, 819605794, 395259729, 283184801, 847914162, 679638098, 625704556, 794565986, 136807078, 797327596, 244125396, 825632231, 535005068, 148616822, 364307201, 787159611, 120268515, 237496999, 724444323, 471410143, 201900655, 186584042, 209304545, 32893109, 744174619, 86113303, 172078727, 838547720, 173355122, 132050108, 864615849, 622774824, 920521259, 434235822, 576046766, 447401221, 311311058, 27833745, 3315810, 338224143, 74525666, 30456560, 35732148, 138703640, 464126587, 358715191, 327680600, 101855122, 72043779, 776541624, 815561232, 246272235, 747802497, 182560708, 218064557, 657509886, 67363686, 225855540, 542228353, 809655987, 345971543, 161575631, 384860044, 960957067, 859974286, 443046604, 127481904, 292070612, 742822210, 579032061, 148784930, 495001182, 981127115, 192165566, 313826231, 926018367, 926741440, 411976507, 32888672, 264323297, 688953091, 703219983, 910207425, 404302366, 173034259, 392063327, 634545310, 402595138, 883709030, 609922214, 805362501, 600651196, 480054806, 829569679, 356775664, 315424491, 658707429, 128893240, 774978688, 408515427, 533189623, 861218776, 914251327, 951699258, 83042959, 377826609, 512605907, 971484453, 310484571, 386790272, 827112343, 184068727, 387827907, 939616879, 955733570, 689955168, 904481086, 758158714, 167633397, 639937474, 232429141, 81849297, 999611815, 153933765, 473088159, 262695197, 391860051, 713210863, 362912785, 922040160, 308770874, 554329574, 643956647, 470658298, 531761690, 541669159, 464743740, 742834201, 937894411, 165753613, 361459163, 929042673, 851527686, 378776718, 586256033, 368114238, 358578696, 790298912, 704452703, 570548812, 936563430, 898337666, 773881724, 332244691, 491417236, 368429036, 44818062, 506908588, 483563127, 900532285, 935416337, 243734018, 865132997, 271088203, 42350269, 489224031, 147578598, 292656519, 284622587, 928806080, 148540941, 366442025, 349425442, 795216291, 55128573, 101785395, 998467658, 381330123, 849072808, 337407574, 117776242, 864388937, 14426344, 401590769, 763697975, 286554770, 529102332, 564812194, 525614028, 781373615, 709604252, 466627912, 568191606, 948061833, 894313503, 261133659, 266772125, 142330325, 150546359, 733489209, 290605388, 981211945, 952990165, 537078882, 692045038, 782477825, 7384379, 300586464, 20684335, 564298757, 611810844, 902077436, 535689825, 787377882, 987204556, 132196148, 385526839, 392701902, 631983041, 268029246, 943087957, 548096225, 233965031, 852978541, 750119142, 248081047, 423831132, 203804983, 561451936, 622267015, 927885973, 306757580, 619368790, 994451595, 663804613, 545276237, 563175555, 116096580, 972097057, 923009568, 376837530, 300205274, 749285296, 98592441, 785549582, 31170969, 853546481, 668350998, 455289311, 11570424, 743387457, 707511167, 348882754, 172619954, 372708412, 972041870, 712974950, 346400108, 273697351, 753243296, 537736159, 913500283, 726658946, 531871731, 505308041, 545953252, 782904417, 891585084, 433627630, 692819713, 811756247, 594735726, 593179207, 174481984, 439208784, 473838655, 931104947, 819569220, 364687719, 307091330, 152992154, 778965411, 70008022, 858001317, 701273070, 800318140, 686353928, 455236499, 960587319, 837135748, 23033324, 448733118, 988814103, 368637194, 929022977, 983820479, 468624373, 529622554, 54265359, 693686093, 586898227, 525558570, 752614722, 739699857, 900736607, 316633860, 734801657, 408492474, 921326165, 153545320, 100666570, 798440233, 65086200, 337653083, 289486764, 359738895, 152653712, 150038006, 659282004, 748049998, 796398617, 633206511, 368936219, 390622841, 953054045, 324413269, 856715395, 587876650, 463510625, 498168333, 724607967, 105908302, 983322076, 183852331, 240032408, 362025768, 69532121, 312106189, 6976115, 343111377, 191411125, 692079552, 168295145, 60869490, 580471168, 146056223, 806158778, 552740516, 804552812, 295633386, 697567156, 386873012, 587801028, 180313774, 973932128, 679779322, 109642043, 220805832, 324914313, 591026687, 359282024, 502418639, 514090714, 143735026, 278152243, 760941011, 737088487, 465386552, 939429334, 734549724, 593327796, 469949296, 916584529, 669348786, 181105413, 860784898, 177256286, 790373768, 165710614, 160941365, 448566165, 232291363, 97360780, 200355626, 960692337, 333438664, 351214363, 55396128, 859848795, 241957996, 132883384, 157016800, 902918308, 160285814, 39327559, 472002100, 871733043, 678655633, 447188867, 307765163, 380480662, 645653370, 272819082, 48618364, 540404861, 390015919, 929841222, 90637755, 874431330, 549450830, 792920922, 236915471, 988975483, 70642015, 870384664, 441175914, 143321101, 886005383, 143996174, 336918263, 463967985, 440209484, 83814922, 753215934, 381025259, 443702872, 328182348, 365558654, 106173553, 190221224, 838182002, 873571967, 300297228, 969466036, 985200568, 192121969, 373794360, 440545410, 622830561, 963023399, 519275269, 515148896, 549251011, 835005796, 858221835, 208080003, 634896921, 527642309, 430653849, 937502324, 543424954, 288596549, 849912046, 763392655, 426659562, 583854054, 213340960, 339360710, 441625836, 438417070, 608867048, 736407610, 707179452, 585247913, 33618873, 954189456, 581685223, 578856643, 499272296, 277025268, 291365709, 297306872, 137304232, 517574090, 556180295, 334106705, 156208515, 887848946, 22190045, 799627073, 840783171, 259216736, 464022750, 754993013, 802922363, 437544373, 471047180, 783997981, 383678880, 994758943, 432232076, 568516993, 569227698, 56076404, 577736470, 616873659, 62903022, 534094955, 838752546, 18461256, 530085745, 488340541, 467292489, 705969930, 995352663, 170056798, 290188835, 237834301, 888311774, 968347677, 319347422, 318991644, 643920433, 441526449, 179104338, 589373578, 245497220, 161743446, 720970751, 828435313, 696435840, 10910918, 90019267, 874673722, 164281563, 926728909, 37402580, 330174751, 699225650, 411822758, 16422681, 604450824, 406198713, 985832569, 856436104, 321748864, 593992021, 103153241, 593759034, 316477763, 899445920, 797751181, 261364498, 359642242, 853364879, 386834538, 881994851, 859237396, 465231619, 777624279, 637982356, 21975150, 350558218, 360359366, 103435568, 941206151, 718823880, 556739335, 52140885, 641002407, 141156012, 211177431, 490892171, 890395219, 479678772, 496466921, 723343490, 5575014, 151045353, 813393583, 938384101, 741473145, 946358568, 693808562, 558457699, 691246275, 962741524, 459647351, 156173685, 462047687, 149877049, 815818893, 977269899, 187977746, 943658597, 214410271, 332927349, 918391399, 680776036, 290533981, 821447543, 169145596, 708668825, 151855033, 90872537, 880746529, 251862564, 970262298, 435204075, 855612714, 384924750, 475325868, 979103170, 415518196, 368560062, 334413265, 147072057, 199695724, 796087006, 546571039, 871032754, 282098848, 281356002, 57705305, 492437763, 572715515, 531930672, 385118161, 271977065, 227695784, 491063490, 891523751, 711944931, 548493093, 242809237, 463360090, 25609939, 596883499, 122702736, 679328193, 541590417, 897605195, 784034284, 566266217, 838174210, 987127862, 186202747, 611923737, 10786901, 235691190, 578877026, 157935828, 186909870, 265568128, 514133804, 576536566, 844251987, 739226238, 93586766, 195634136, 672324743, 441433748, 178137989, 670678808, 310792565, 531230523, 797698100, 685664974, 836270614, 80825256, 935412140, 30182119, 290100737, 399159858, 250867787, 60499126, 60893079, 895758569, 759630979, 209679371, 147234962, 192983216, 336734179, 641190788, 218803753, 836495529, 697086796, 69709590, 466399811, 463497675, 962431339, 855253778, 205848600, 650856665, 300218028, 620866228, 252678536, 566373393, 664939516, 657825782, 328058215, 756526842, 880336595, 836774095, 981038499, 50863285, 335359838, 213554189, 882872497, 960308938, 255286736, 976561121, 349614818, 982093607, 994741338, 903063645, 49583351, 350151087, 713557257, 68410914, 313456411, 656733632, 619282563, 832167661, 92021600, 336447619, 727461282, 76646117, 334358270, 337198330, 140932798, 166090209, 173527799, 883361171, 119828921, 66134120, 322874673, 986111699, 344602195, 215248502, 449176224, 276149440, 602945691, 64799117, 98869846, 604889311, 854275256, 601148626, 726948686, 906872933, 928314663, 800792606, 704801016, 568639149, 383796961, 848147918, 507993710, 376159438, 289966358, 923881701, 937874538, 166751778, 205267078, 79771387, 982258111, 952875031, 962761435, 141593639, 414479701, 532283024, 283975085, 340645540, 491056088, 474908665, 639518125, 158501447, 419635491, 383098723, 631784845, 501504284, 887212575, 964774395, 615209831, 999233560, 763767416, 149082431, 70763103, 115030657, 599982493, 569779811, 7028724, 132266735, 507000700, 753487373, 453129007, 619311309, 400104940, 934477582, 756852663, 938693160, 297603918, 41428249, 769432013, 770919433, 880220045, 108832111, 856654405, 822460990, 444099539, 765985351, 541704445, 659139227, 419539079, 436609583, 562231037, 70987482, 615827124, 782387992, 833864145, 788118175, 616848003, 583841824, 872602066, 597290616, 28532339, 233888812, 718386275, 488293222, 405414770, 107461697, 616691384, 697164613, 724920976, 326601578, 510583891, 864587038, 738795575, 669715256, 671697049, 454114342, 646115064, 36753808, 764075544, 469908780, 748347267, 999261756, 486078165, 610465882, 595880113, 79448527, 600423849, 892405858, 197007609, 847516391, 270291663, 921157202, 619844161, 487595440, 136042957, 205648567, 683546128, 315910276, 431249888, 959070058, 843829366, 697738403, 326573055, 708112024, 882162891, 552732300, 969477687, 919669977, 577936631, 585966407, 926460156, 857508081, 676403431, 197202501, 652013807, 478614987, 559497731, 341651193, 195191395, 488594979, 703211053, 165341756, 906142481, 292084696, 615463509, 618228990, 552519620, 531491759, 306831921, 722567092, 645303904, 277478012, 450682211, 898367516, 72058684, 500334307, 575384738, 456178382, 327594383, 743592973, 996449644, 345007412, 691174351, 30600114, 875427987, 744228945, 521419564, 407530028, 677625356, 907585339, 31013652, 253778672, 109597141, 664090339, 375949512, 10159257, 368304795, 554114605, 977977756, 674023777, 482917202, 861621751, 481902756, 664785386, 486167657, 405414970, 736476425, 61015990, 831984389, 312371054, 816674110, 222733564, 180566652, 698158443, 378484619, 150013547, 79625341, 802732791, 726720272, 930730374, 248129713, 381072985, 970652006, 904111638, 301635787, 205800724, 251925163, 727932004, 742200255, 662708133, 87259305, 249874101, 742783418, 548777916, 747537650, 537207025, 115391342, 186168306, 129834595, 731541131, 172817269, 210897938, 580929538, 934148815, 326873979, 45880246, 761634460, 759070510, 825136576, 483869540, 445648461, 783171460, 562381775, 736635581, 291095356, 295968974, 590652222, 505338102, 580525909, 323121504, 72910151, 601420103, 396221761, 427838409, 944072551, 981077005, 208850058, 686320627, 423714246, 517565118, 434472814, 146025103, 838733092, 550486522, 322576509, 274060018, 149362446, 532441107, 188193049, 998600213, 212979904, 426070412, 183759625, 734085114, 404667675, 923539566, 78341383, 969985267, 807506811, 615361360, 495263785, 417886699, 735514374, 13987456, 415670857, 473473267, 339930237, 89585419, 723520532, 214647618, 515495219, 844398327, 697466621, 834659741, 515485745, 793474819, 841165598, 783121405, 130059915, 789137472, 186094640, 596738261, 993561331, 512883807, 263554114, 519848933, 434153692, 622008899, 419673224, 454732060, 159708754, 38348117, 479781176, 499284625, 888067780, 267146435, 62513036, 946109138, 249807078, 217107116, 814297851, 761139524, 378497293, 457348187, 727861603, 996832215, 259340172, 488438111, 210586378, 319484377, 690443462, 633822308, 631356551, 852325627, 871113399, 904650441, 971975591, 207926141, 270245251, 172925401, 15181777, 336652880, 885461121, 159228947, 620035981, 936932688, 858191529, 9896751, 168845605, 562801584, 433657591, 182839930, 400130920, 152215166, 426582897, 930016739, 563228661, 741447608, 554463746, 25332863, 667822072, 514548901, 58359018, 494800919, 222998686, 989461484, 105724262, 543499597, 476116921, 598024180, 481182858, 631882311, 222757132, 300831519, 345052233, 641633137, 674552773, 421498643, 189433942, 136466827, 744705535, 118438744, 489246312, 233656048, 756236867, 74779155, 235176059, 906589291, 566506135, 412521115, 600625956, 154083061, 981735981, 136129602, 98387211, 375591548, 635958061, 274790559, 448518396, 313518094, 857800717, 605993596, 15447884, 272621006, 124187483, 325430772, 92826058, 837586159, 998305175, 516668595, 64582348, 998701830, 960989428, 636109612, 785883533, 567133035, 742129337, 566659012, 216529779, 455491595, 171061503, 444807542, 806779366, 162446093, 145109581, 168713434, 100662475, 969680682, 144646927, 275668537, 452993593, 742372181, 985466796, 316852186, 492182759, 148014244, 711391363, 454636125, 47596124, 867461713, 864229826, 314324858, 706106121, 753266844, 376808277, 283730412, 837763349, 394938644, 363313185, 537395046, 459463961, 204779357, 726861414, 380612253, 384029618, 589294402, 399547522, 467411206, 892236031, 171050155, 590028002, 103387382, 629690080, 805395014, 422947072, 705076762, 92644958, 603177096, 141213642, 329794242, 176914774, 931278524, 822499819, 873193415, 443863583, 479609661, 693357233, 38098964, 364877528, 871551457, 726126803, 238463909, 727643975, 426556602, 288959041, 941449184, 518093740, 238104667, 189383576, 786947827, 132075658, 121196326, 767801986, 683337924, 855395332, 361083683, 529157569, 685403735, 39561231, 389329136, 15712411, 454444807, 420958612, 496216943, 599522405, 90466094, 777721992, 38424129, 923838186, 580691169, 425491997, 918152906, 272600622, 116892578, 278311114, 710220426, 823861300, 880849959, 763300524, 628321595, 560531612, 302300511, 378213951, 833084264, 325870331, 850451252, 359430513, 323689001, 190706320, 622852217, 50554328, 595669296, 934847430, 891683275, 5900879, 841015915, 54593795, 559767624, 831819467, 223165046, 576789703, 513262642, 946427613, 863526652, 295707833, 183908360, 480848400, 686383806, 946172830, 215327513, 881662550, 264037886, 918639149, 851649193, 175515540, 752702286, 262372706, 558189581, 963081953, 234577763, 300380744, 644267786, 979814849, 823266768, 795530277, 6728557, 923226163, 383664867, 15601581, 348718733, 184797403, 785997609, 413272067, 242602900, 106837045, 898947432, 473678133, 723977431, 769952878, 386656480, 59588996, 262342840, 482463914, 368070846, 28936275, 637469017, 760199095, 160193144, 990598129, 327732191, 96712132, 545573759, 105628870, 748870511, 886456091, 495694939, 4748788, 917731239, 696703153, 760778742, 464864061, 562250007, 180601434, 690306033, 264292000, 755162565, 751910290, 152330738, 471406964, 520051007, 431262608, 869287489, 558604664, 44601752, 755977033, 482927789, 58617493, 974870791, 36478812, 922213904, 213032063, 444965951, 390117392, 215799152, 85756782, 134140803, 430771310, 163781821, 64209941, 551403399, 569625558, 267617159, 672455767, 591604607, 621182131, 101723902, 922702678, 452821175, 512946800, 424192428, 555152494, 791037774, 516330924, 215523184, 591206380, 146045520, 576381483, 79145897, 64968289, 564056672, 101100546, 950261941, 329297182, 284682611, 923524085, 881334633, 133099915, 632662202, 161030795, 816095861, 98825160, 989055459, 120933761, 236651295, 930696083, 167574638, 813641653, 221158219, 697040754, 438958669, 497364058, 478148310, 200089678, 736866228, 148512300, 603478327, 984587667, 390792129, 74576650, 850380598, 163904710, 549573146, 324397856, 558850560, 926022818, 869008462, 546158153, 149498924, 257923602, 823736354, 589634072, 995104244, 777948221, 782864030, 629522915, 809714646, 628847804, 638048889, 127714928, 612254149, 99388306, 132571236, 645208670, 283193544, 387930477, 803140439, 606071833, 343060020, 678920279, 461089344, 647114388, 192280669, 551612045, 884022047, 557227009, 193917434, 481696344, 669505102, 187957502, 74533246, 668247094, 169166721, 372462179, 50940488, 286735152, 459731413, 611772880, 368788054, 615545022, 859900048, 135848442, 978937468, 519230046, 270532011, 413252664, 474954309, 794047031, 993459706, 348735789, 978203251, 716179165, 362553195, 719153047, 691036575, 698579889, 178832738, 241695475, 552314679, 436133743, 246780809, 406058224, 508731644, 917321466, 569280302, 758529609, 199454167, 556234331, 694362381, 866075091, 379865168, 625016407, 715557594, 129290654, 611128004, 783085567, 426554812, 487340154, 850380197, 253532739, 956266111, 792760196, 606137546, 246424790, 638389017, 848248437, 8397469, 381740671, 728614230, 522688754, 880937028, 226148759, 593137689, 143368296, 77777770, 412056677, 993183684, 841839466, 11825131, 767282522, 123825091, 21385936, 130853826, 36722913, 488187862, 248739575, 241729409, 808621378, 246975624, 873342769, 932893490, 462345502, 746048129, 356562398, 619963851, 936759093, 111829358, 508029294, 818482096, 81367826, 928378690, 125670481, 240336674, 173976984, 745296673, 674005265, 648492491, 99092211, 972465182, 262823109, 791560895, 443284003, 681384203, 629435423, 754546657, 178072640, 119290796, 848166360, 651378992, 283931406, 403783173, 27507743, 260067152, 496618815, 995913203, 166073410, 179225065, 503298655, 756498528, 682901327, 531106497, 4349416, 71627, 198113784, 888248101, 758252159, 770277083, 906755704, 537938951, 820809038, 263676145, 184932210, 274840034, 65286031, 18115013, 62286842, 663137301, 738105553, 473176266, 360693455, 724663637, 882070169, 306597286, 401044896, 590269045, 636720374, 39882710, 104772641, 640752367, 154880716, 470113561, 277481007, 5426612, 259552287, 494570368, 310680251, 109282774, 539641229, 996466203, 518432046, 912919211, 172359426, 895487216, 317870657, 454789381, 493968236, 308090551, 864863101, 503411014, 414727903, 72211299, 299502677, 635970360, 725363961, 364733104, 190695709, 859905896, 318511715, 194680847, 661377515, 311974022, 104211013, 557970519, 138960626, 435243662, 235582851, 825232971, 341490126, 556907031, 358519387, 416160145, 307606193, 343868939, 548120998, 791719098, 884943199, 364238645, 13832787, 510493340, 152015874, 26184973, 651361671, 572844238, 925369899, 97719759, 481792726, 954350343, 962070184, 178587268, 639221883, 478377747, 879313196, 220147119, 818647862, 65855531, 27395569, 94059410, 657771435, 721348465, 426956289, 611820548, 334048530, 28844581, 819673670, 311728486, 601763717, 962067779, 458920797, 303993498, 659045004, 888093834, 870079863, 278698184, 809650429, 671738318, 927727926, 947026591, 879568572, 74943796, 653013322, 376410158, 983385571, 118895072, 432432614, 705446142, 520591570, 684212485, 244691742, 909748538, 391665544, 277161396, 519694827, 874304712, 284620170, 106508836, 839949459, 266579021, 489014321, 621127008, 475660424, 776677565, 386575564, 12471060, 52907084, 81922209, 474827042, 687394029, 984774765, 416911248, 85736670, 66276353, 40855538, 112756094, 439084133, 207718326, 231323355, 519329985, 176742867, 889461107, 453350857, 451768693, 365977305, 446659228, 209053182, 772966030, 344608783, 330476236, 548446049, 151251983, 531447902, 972616941, 979858963, 522680144, 229873574, 937044459, 229209471, 55833958, 39294961, 802972223, 34842370, 983639228, 62061138, 10920891, 128578483, 861056237, 435623049, 301952095, 345144589, 110286233, 867601119, 848126981, 531963348, 859915530, 708489800, 2441070, 229553688, 266838501, 772899334, 192225112, 418778542, 460405584, 662995858, 996213351, 78697609, 613601039, 42084236, 143602569, 217732188, 43160513, 204208269, 12636466, 415757425, 590669165, 361067484, 393888218, 301101895, 937162978, 16461768, 302336242, 745709970, 404853179, 818923795, 584264649, 649739293, 508745541, 938152798, 237585195, 28273127, 218855308, 844763688, 785982935, 18686035, 820386293, 295715742, 582690865, 580984072, 417304743, 299274074, 735146395, 777782413, 587503135, 198392061, 341389903, 712966755, 945329046, 520832312, 597771037, 26306322, 178264160, 598366709, 255835914, 213547238, 219767683, 933552009, 254820196, 409059083, 902557616, 439046740, 110181803, 956151002, 789941512, 996246792, 881151919, 799854181, 261701124, 415194373, 542764107, 967240518, 975764593, 693436116, 958514302, 875347546, 798275782, 884164883, 816435919, 296562533, 155739327, 402326631, 475028781, 914661061, 699502211, 979938348, 46868776, 643063066, 384900640, 756238626, 974862119, 596263850, 720561048, 11035104, 491445872, 30734351, 212009557, 561180503, 293908160, 29416856, 105758322, 254249772, 613763906, 69989888, 636269888, 565018547, 752917217, 146437249, 183394111, 301289214, 798808054, 753484822, 925972670, 806694211, 199202177, 721358645, 947528209, 299986634, 954227347, 302691509, 829745364, 741124913, 626848764, 590124058, 212388416, 938031742, 611602961, 346599556, 548521920, 551123534, 925159104, 504023207, 660152010, 461557675, 598616118, 655403474, 743966843, 416660637, 354901831, 162927565, 776203206, 946998337, 597405961, 295964973, 489155022, 562020940, 163545046, 754122435, 290367499, 53604900, 628731526, 143504592, 358851520, 15746286, 614508528, 386404296, 595239818, 977280737, 435510824, 469573614, 79829570, 177443076, 621907450, 723463949, 515948562, 476660676, 179811557, 750579534, 226358663, 466007645, 372812925, 192865819, 5807040, 95455526, 625624472, 243832458, 988717529, 655605310, 393256781, 673096728, 559971261, 970409101, 603950155, 5974697, 402696520, 473759155, 159808581, 306576946, 677133095, 763955014, 566314526, 130284264, 198394173, 285039505, 187483337, 786891082, 392860422, 57366596, 689699097, 144614152, 756499980, 774302436, 474553625, 839568136, 739738571, 74827121, 366207886, 265727401, 861696091, 543319501, 599984846, 74771381, 685591075, 492515611, 605146162, 873203266, 585117544, 622195462, 93565395, 675293716, 99019461, 94664567, 71245039, 880491949, 506790439, 848189657, 800732093, 537574860, 430527507, 611733415, 775380702, 484537194, 859045635, 446164870, 895083733, 316504, 243946510, 352467441, 269602604, 270126434, 657941733, 505293180, 559029330, 96774500, 960028541, 122800974, 450584684, 957828640, 954287447, 767856198, 762967599, 984514851, 396309809, 398991896, 860594398, 169016830, 912930566, 450212146, 41342043, 610141521, 710909485, 89426554, 174206921, 175225989, 463775426, 958645219, 693747847, 873791316, 900502087, 980548929, 370346229, 360965230, 767379015, 882241157, 562921239, 567350935, 926710531, 592260879, 20354337, 463153485, 235184886, 461878929, 86271418, 700782808, 584817519, 386973833, 541392885, 466114376, 111225663, 823701522, 251028787, 337480052, 962719053, 259807363, 487213258, 638359663, 62214485, 376839032, 91432388, 487382422, 806765258, 613903715, 451754967, 858070970, 924397083, 494544281, 559345079, 382639216, 826813935, 333028226, 209178829, 437433326, 760617107, 443580962, 356128129, 774249164, 356854234, 196350001, 254905565, 478320404, 30227139, 655781299, 554802027, 650637776, 350135639, 752627688, 655066974, 60510811, 441992651, 948946612, 873790570, 331316654, 680900577, 987994584, 460854972, 577606058, 947135165, 609591, 578921917, 246863656, 61318949, 188234796, 788938167, 213402915, 736452916, 114026145, 239602063, 793328841, 150637232, 379049599, 823928229, 282144310, 397815948, 447261548, 294125464, 309570413, 901649723, 83253591, 215227861, 951199698, 94218052, 320620574, 193327276, 719466608, 567096384, 483406887, 942435672, 77244863, 153198825, 450904010, 675854873, 841627525, 596715915, 966741776, 260746125, 378190364, 688016088, 304103903, 783017435, 994627214, 92713210, 495724484, 639699352, 321108002, 390544005, 385536555, 977966908, 780378191, 972238118, 4095571, 538552544, 49204349, 413014129, 581052293, 510632640, 922349005, 695830688, 823448412, 422753559, 880333501, 864818788, 721147922, 627976437, 408940982, 830754688, 754292329, 836862233, 752073723, 102666113, 930925087, 203218849, 758433486, 8701030, 686106338, 825121176, 7664782, 727514817, 998862164, 61372229, 386231474, 314450697, 772522139, 285427078, 239734918, 863711529, 743678890, 151100309, 483521005, 449497567, 106359832, 771877885, 49269974, 942197677, 839356444, 234933732, 755188184, 975044361, 467430581, 681038511, 681037302, 599564793, 603890192, 29855375, 90750930, 298186726, 92900204, 52587263, 871692306, 690955412, 674305383, 143395477, 424576464, 143249329, 814213576, 498318747, 76328771, 468836849, 794905920, 127086620, 282231379, 399109042, 368160600, 651461963, 68455784, 809263947, 353997121, 417239842, 82295251, 560499835, 365113717, 158367206, 791103997, 799848786, 869954935, 602222450, 776616157, 202330794, 752277459, 882714991, 643546835, 11639367, 990664578, 535467506, 57193402, 702033444, 642974707, 246383293, 961495061, 800631368, 92480703, 803458153, 239839021, 522969784, 314952741, 289030202, 290119208, 904243737, 555694826, 392744401, 106284532, 171045252, 133459289, 436192016, 714115847, 485971316, 884809578, 510404328, 758730396, 784383865, 696707844, 284166840, 395893456, 623675905, 434581762, 826639492, 650134360, 934163734, 29258652, 808433574, 218588638, 932393362, 480465354, 584101426, 807961121, 557668490, 902686723, 666130522, 62155534, 860152918, 52499331, 995087542, 671422796, 546244924, 843382516, 387427894, 364509399, 659989588, 317534014, 323898171, 613840248, 72829887, 436547116, 708098493, 672996953, 524074516, 988218951, 148865785, 244294192, 313144469, 73000171, 216305689, 57003781, 608714936, 624067570, 36140707, 434195915, 210618902, 937661998, 350591954, 948053658, 250312268, 545974075, 326607569, 466835596, 427090797, 340943208, 835957807, 593545395, 211138636, 514923598, 952388555, 735593807, 195907149, 629507492, 820987640, 1582058, 52471562, 733567938, 961417675, 38868615, 847211057, 365810754, 48375151, 696008220, 684169958, 567360023, 158792851, 755404677, 475509157, 174425376, 359466365, 311396831, 949596887, 631297849, 205518660, 497606656, 961209049, 168228295, 690482308, 773036610, 714138454, 719870998, 516154261, 697835006, 960394770, 558336361, 964146047, 955086055, 186765891, 412932610, 642110134, 952573300, 133975310, 1775075, 10768028, 782676097, 562855633, 541496398, 506295038, 767943613, 985078136, 438105488, 2804, 598117700, 530471683, 591537231, 895532438, 813402013, 506628931, 847101488, 321093330, 466902988, 891309375, 349999660, 411350052, 51704615, 876947213, 501674726, 122509609, 104266868, 723367728, 529409305, 901192356, 992655915, 170789234, 247304345, 55139395, 162733694, 665014441, 34380165, 719129559, 629199314, 946920712, 855759682, 516493444, 230507954, 9009287, 532725406, 348844323, 397634277, 843157752, 183974678, 860372662, 153691164, 862376838, 355827073, 653905104, 186569608, 97602389, 108984864, 889080249, 834427072, 309036947, 598100311, 592828160, 39247249, 293924931, 149781410, 420445549, 310517702, 797035238, 639849007, 915035996, 671820335, 640159454, 40965612, 661841800, 609887380, 38233293, 402995892, 678123340, 618031959, 718523862, 375072132, 236750786, 648103054, 346585879, 547627910, 169508167, 693365699, 317985533, 518208195, 727314128, 185998084, 631034371, 804322823, 922460495, 535537621, 446288913, 77880923, 366168970, 606027147, 884253458, 99370767, 255587618, 818618415, 126110268, 72596769, 383440002, 949743369, 487531504, 82781950, 970575212, 537053226, 497239178, 422183052, 824211392, 188398300, 958635255, 989264493, 33154684, 204140200, 257141813, 206917714, 543099652, 675058301, 32551936, 64136525, 793995633, 324893473, 246627787, 101433571, 728715593, 121558696, 76840164, 981056315, 747471258, 266165239, 772625047, 12762936, 838550535, 176252514, 500527728, 11418605, 308125351, 741227982, 285757853, 482902335, 330710541, 657367896, 120884354, 295067812, 360982527, 742005052, 727582900, 444914741, 894096659, 245620487, 970613030, 208133301, 132112272, 696385307, 538889824, 270307626, 707518653, 964486771, 982975035, 605636698, 888326219, 183744049, 933413809, 145278820, 1832642, 705753625, 933581143, 478576264, 774443999, 514540695, 953116014, 304035977, 748995052, 412794168, 182068198, 294920457, 812621809, 256750205, 164168674, 234467380, 163578309, 297633839, 705268496, 735471743, 869047982, 395791929, 53568474, 972019821, 632084202, 86876175, 287973391, 698246309, 48884265, 201392833, 91272799, 137582095, 353653373, 144664142, 248954776, 152451402, 286780857, 83892611, 655333943, 178380858, 379492650, 864812345, 156091190, 638029186, 893002497, 409065800, 535447962, 232378785, 464396408, 972995477, 925534142, 436833402, 261063874, 931180609, 693107185, 694927906, 217891515, 795709713, 952040278, 198779851, 560392441, 32434852, 278964395, 515285298, 843307113, 681915761, 399359186, 358527257, 870552927, 244317638, 939208086, 681480213, 58891111, 658021191, 280425191, 905363879, 359931996, 240205942, 415904505, 523271123, 94109247, 499057590, 424792993, 81868495, 275908744, 550143816, 330317449, 549680921, 314789961, 804512875, 547586493, 669386972, 300948906, 292406856, 241275312, 34720202, 579255691, 74568182, 125160383, 321657731, 235487421, 944335540, 254377982, 317643334, 861533235, 548408404, 890411756, 493459895, 174624188, 555620205, 465232771, 186995834, 375163330, 819435900, 361583488, 28989695, 34076824, 126034998, 983917709, 199571029, 562726464, 381407588, 164091963, 855167276, 104019578, 789682254, 25262751, 167818698, 693913780, 403197612, 230053062, 156917626, 866639943, 975702876, 430253239, 682789934, 528425139, 116445910, 160966775, 728223187, 472743014, 245425938, 92889533, 698938693, 80649629, 746314086, 49694076, 165147163, 275466494, 379522454, 887553720, 269180179, 317184320, 616078934, 973736013, 244355743, 344418653, 443089805, 975754013, 272679627, 503968084, 971888262, 550226257, 35935079, 167420269, 37570865, 360980268, 322891981, 516002356, 821108729, 986774210, 182902791, 904199778, 180022194, 131246044, 200870264, 531483171, 812199729, 772559622, 771143732, 276653620, 315174114, 693701322, 140747947, 438931854, 450019356, 860844249, 345816688, 519625853, 436161043, 954143744, 524921785, 724057043, 568525832, 46334975, 492955999, 329856753, 587145043, 955062619, 377219235, 149818119, 289824719, 132399363, 198916424, 462652011, 509884693, 969439294, 856486815, 118479816, 753271941, 456530411, 449830128, 801224331, 456375980, 406335558, 159419557, 561013657, 167115554, 398990117, 244222, 86923001, 744763514, 145522114, 289889212, 106610662, 380351210, 631777516, 91226396, 129333901, 655178046, 252844605, 541101109])," 39818 (continuousSubarrays [986576039, 601518733, 744798894, 581260814, 819551063, 25280437, 912790185, 566200129, 512449764, 813324259, 935779477, 75523677, 110564640, 996917008, 24329099, 81044379, 639852709, 485230276, 868577009, 991579590, 173179412, 153444229, 696412320, 668285025, 665305513, 374760041, 395657366, 431207308, 723415171, 78217974, 231578479, 44787201, 520128365, 190886570, 99544457, 834752183, 839840220, 23156798, 568958840, 828175027, 573601719, 646397626, 359922464, 610592950, 761436656, 991866724, 975548126, 596278074, 51352469, 709760089, 137138347, 35412739, 740326384, 428595150, 561686033, 826522352, 528512395, 166766340, 903971986, 930175620, 291876450, 325746465, 226954604, 342184919, 786100937, 33431144, 559960353, 228435020, 981753250, 477182859, 853319621, 531074058, 293762369, 756977260, 982115626, 109505171, 97662291, 597546699, 25539355, 514871975, 21469506, 866882384, 749542329, 187314233, 668059077, 880111727, 802394008, 684226238, 295590795, 933475698, 603784570, 805706585, 106664159, 706632391, 920925278, 534703454, 809799056, 533469791, 699009564, 574769508, 286021995, 580299338, 927136527, 182061139, 50256606, 963343548, 2079973, 759980720, 239896735, 944973942, 715128164, 958534922, 284255197, 962076026, 543624223, 280308022, 922047898, 608663068, 462272761, 947562676, 27146468, 341833914, 373203844, 406807671, 587150376, 428133803, 347613221, 515250274, 825463982, 900359800, 907386894, 758524660, 920655262, 270154021, 958873500, 110226802, 114234297, 326643960, 5861654, 49217327, 698710492, 81052676, 486338667, 421658147, 698878003, 522872439, 376629510, 608900195, 61788074, 690780333, 11942994, 539935304, 292087332, 12152539, 317686301, 915961372, 150374730, 869266096, 1003629, 142908381, 204197001, 394544263, 969450770, 171841363, 370991241, 650184990, 292091080, 505109506, 592028441, 596806545, 834483109, 673378639, 767537232, 201264498, 585809426, 849412291, 631715774, 259388106, 462631908, 473311307, 585798379, 905873551, 750313742, 391002361, 68500749, 679610590, 82384498, 896993563, 234936883, 75315577, 354955786, 941817712, 104302093, 713662616, 936482013, 43657259, 745642043, 405663793, 895477621, 69916754, 662157906, 108643574, 133515441, 947816601, 42991330, 35801373, 846689945, 783572043, 615345014, 800773933, 436105384, 559804754, 325938750, 603283553, 389448681, 445037108, 787491667, 185306896, 634916738, 477037552, 787317467, 959074084, 555832639, 203512770, 942124651, 552642935, 946815932, 511046362, 791528968, 910331118, 417421115, 171635618, 60882630, 695292693, 979469165, 954647745, 664340639, 608490206, 175615746, 788066583, 210609215, 662081854, 502078228, 552639148, 408995863, 928867883, 788865214, 78446845, 390010046, 956279858, 273414686, 456561571, 177779246, 215293145, 144082790, 620526520, 398982331, 234873517, 527385946, 613566832, 477765282, 278465563, 989951319, 385737853, 481073764, 240056230, 749226389, 667689555, 935319591, 540379075, 897989401, 613685104, 385113713, 338480692, 257208208, 875552232, 739900834, 742532026, 42254847, 502853370, 396247091, 481159225, 557415631, 914083869, 281797106, 292457360, 112959996, 351547590, 265676736, 923147125, 266464434, 687374493, 580794148, 716602199, 338798401, 913791489, 677172734, 738912761, 152982023, 525315575, 430182817, 354623499, 937500825, 376724848, 757581895, 876521213, 551782406, 151721898, 789720210, 342190487, 319203609, 966485054, 958968137, 513122548, 975613889, 866247534, 281738095, 917981986, 531829981, 359842995, 6622721, 904674242, 974976449, 748258437, 567842348, 638743706, 61494949, 303462355, 445161378, 749225931, 787139081, 668259182, 234981552, 462258435, 726625304, 341510016, 577058185, 992554850, 749445478, 582595339, 780481917, 750180751, 262124589, 106535883, 367687558, 971214612, 61319084, 965726400, 657516977, 883701697, 862522904, 64115696, 513783295, 999052937, 486700811, 796573702, 280239976, 234185826, 461204650, 758125925, 126775922, 838175995, 806801831, 700071822, 989267637, 910282003, 878022355, 244255278, 225338144, 881659572, 538074143, 865267119, 764307133, 253726616, 4475863, 87932273, 729809419, 268502433, 65681120, 535102289, 173483085, 798364418, 968369339, 396296576, 73922307, 899252389, 412462346, 964316305, 761282647, 255990326, 949404058, 812590373, 34026036, 97939548, 322224015, 510940653, 506559314, 503977550, 774514848, 36247643, 437658632, 479381, 51878343, 337682815, 597869299, 870247035, 663466909, 420381212, 288653041, 58094622, 9581960, 423701880, 571611425, 593983811, 982942712, 615198986, 370820134, 665231038, 466181876, 543638295, 78012277, 808025712, 110429581, 481671110, 198451122, 555980045, 252794221, 789193201, 299465441, 145553688, 174638070, 110315978, 181179796, 552120081, 995670736, 455857983, 158953526, 789054048, 936324288, 712896109, 176108370, 623745811, 385669462, 386367438, 216076496, 852262157, 392113704, 800367361, 35297933, 382493560, 153843060, 691569272, 206751308, 496810232, 948567947, 909942776, 22548182, 269168821, 784279534, 404708186, 642552253, 157290956, 844643546, 749012594, 319158474, 309157145, 449213107, 253681659, 306003941, 528681663, 947286174, 13134287, 868446224, 362358182, 264069010, 580630077, 322123947, 773675502, 415357338, 756222969, 259106790, 105858528, 30623735, 167775546, 197595956, 450054857, 724671100, 682749838, 558106911, 883549230, 269667837, 756991009, 252082110, 787111586, 56626871, 790643061, 566304803, 587813314, 77961425, 273087539, 830963409, 133834852, 587489818, 989427376, 498572580, 639829475, 751779327, 41302627, 222532052, 697417077, 52806010, 982963393, 149885608, 395105597, 645764472, 191141038, 845031106, 312109458, 729512844, 176127964, 809793848, 664968995, 704916862, 875673216, 141833510, 182051317, 992183445, 297792113, 355574825, 606046037, 194300931, 632720241, 610881837, 186754220, 720832108, 146071000, 243419454, 828709151, 43639123, 666855247, 163869981, 268559201, 361847381, 104957194, 190591744, 634468624, 321594174, 862283064, 205152266, 177397962, 556311619, 863894633, 373831766, 942279545, 653006149, 160951075, 236801325, 493232814, 339583131, 484320386, 21025914, 256711360, 849624193, 401395721, 496381864, 332735864, 217338016, 331625978, 57067206, 524966047, 567366924, 118409006, 770385788, 603521587, 306874647, 230486584, 917544600, 410833394, 488486675, 88688023, 501855718, 308799624, 198553054, 293888196, 109345877, 584831299, 935375323, 319691116, 790173522, 433793231, 350306105, 656922791, 254787836, 648834473, 69769848, 79680095, 577271913, 577615598, 83426119, 167136032, 716304509, 840447832, 554251141, 917904548, 611101123, 78487475, 472387413, 187390057, 831236707, 74874951, 451113402, 934949752, 252310862, 79253725, 903689754, 269740554, 752807142, 982768130, 5205489, 201734494, 538149812, 306360124, 504690456, 216678578, 141422302, 142708240, 334420714, 789870378, 332615884, 644067726, 846846492, 889176620, 421265897, 962675830, 944303527, 217209454, 293583694, 823750001, 492538867, 305676053, 309983666, 902029229, 854985728, 144425088, 642729776, 526520803, 366059436, 172215933, 976733788, 909084484, 124595472, 453968460, 99113563, 173436747, 636604497, 866277760, 505575047, 520608862, 46301245, 868493326, 269333051, 940295888, 595054344, 809152297, 540724164, 154224803, 873893058, 733259375, 536533553, 617692870, 733884839, 460666106, 274602303, 950741840, 468289936, 544801847, 496872794, 188022530, 308361846, 473824480, 644807993, 410054596, 482314084, 372411277, 28145300, 517628091, 494398440, 108336654, 231230366, 455525638, 785967900, 909775888, 663148606, 947641873, 547442634, 327586571, 368743086, 812934032, 242359806, 900501040, 481701585, 625197976, 906163166, 572389826, 749804175, 770180626, 423149784, 690990313, 764392216, 779926189, 145452549, 395972668, 642625619, 450047676, 140155889, 654897705, 340834937, 596247349, 253367486, 772441625, 397178326, 516751524, 656974341, 141116671, 773481839, 180473357, 636719804, 936547609, 336092653, 191634486, 258920566, 953378934, 161483711, 733252003, 212620250, 72639104, 920522471, 376147673, 351072337, 750975083, 474000170, 431964154, 604802291, 936933417, 536723843, 325972811, 81511779, 183576561, 394027356, 865906962, 408834402, 520074229, 245029833, 415970722, 487181359, 525147700, 955420289, 419546405, 35534058, 244737094, 351570728, 393362930, 864420719, 987440502, 914151300, 732024790, 517887877, 940220056, 474807908, 54332016, 450628737, 248165962, 708385943, 277002523, 540665248, 729421264, 372474544, 173854046, 848679620, 591958283, 387139566, 366709532, 490529618, 733230433, 555310779, 212871363, 634593613, 789815897, 344012663, 192291081, 754686060, 693344777, 852397477, 482465668, 402928302, 976386953, 185141768, 215267652, 159292854, 640962388, 156621561, 706192644, 946595396, 641923802, 848690811, 729896504, 199608705, 447301337, 736791970, 878841552, 30301284, 468198364, 332347314, 764408034, 62518773, 893624383, 511404789, 216219825, 459444145, 9837850, 851832373, 396526624, 408886323, 260246028, 272648477, 662543268, 884571944, 504589438, 735466421, 943634437, 987392460, 174198798, 985001154, 628559284, 274251988, 739793275, 768341410, 880418500, 364542649, 393945987, 247599498, 851319424, 345604729, 455254550, 913063364, 598539995, 386146064, 695090808, 156259258, 73962034, 588884334, 800086874, 740188025, 59302474, 181600767, 66082533, 510776571, 36633108, 728512690, 635382302, 393939959, 767127464, 687207892, 323448714, 903413875, 784772324, 769847240, 385363892, 277499606, 552770739, 198009999, 865700508, 6122709, 998815288, 639486594, 737034697, 426771340, 995923120, 843073558, 674510925, 171483616, 950272084, 473017770, 276155357, 946732144, 77878333, 326866906, 284809603, 11916753, 76483263, 491178725, 195357618, 32928657, 360264741, 368002046, 797667558, 479883567, 3806652, 100053441, 49764335, 233827150, 966165851, 299691293, 191059346, 424648450, 937697832, 891631170, 810474530, 141424072, 494037220, 426259722, 105210394, 673567320, 480246657, 395288408, 530636929, 499914791, 304213778, 715201314, 901449164, 381721199, 913862153, 179346872, 148469490, 223565496, 79303151, 994169369, 470918881, 86267931, 501375786, 404137902, 788330108, 296937007, 253346788, 845839600, 728150937, 44676193, 957357770, 152888575, 835705180, 196081889, 90926363, 504445250, 806072267, 53423666, 459045713, 761478620, 748173243, 377592615, 794069247, 46074891, 618733588, 613480327, 807958893, 738744322, 177399515, 489924779, 737922419, 339764223, 784456098, 666610787, 123385633, 200519390, 916326464, 524138634, 459359318, 432076898, 92551987, 126605305, 647923175, 151676410, 748276775, 952524998, 610607034, 535093358, 69335779, 651055828, 968479865, 851695058, 219941076, 587985205, 933745954, 259887416, 56597410, 389914717, 402822378, 904001354, 527432726, 961502247, 470139454, 745115869, 524821435, 720089395, 497674929, 538781692, 126687566, 849812508, 510357606, 700626030, 641862225, 900942001, 700885907, 735519805, 584910579, 994399994, 771534636, 311788676, 305841072, 124840659, 426699010, 925815049, 828691029, 568176087, 358396156, 770402906, 616542608, 502606997, 33565309, 756280776, 490494482, 865071710, 124254311, 505042767, 507835801, 149903760, 541774159, 680101366, 515097761, 910887206, 200928602, 25018206, 137263416, 471738493, 300829837, 772014793, 477042531, 668810692, 449670700, 274442516, 617516315, 216702299, 582885872, 630457303, 455678745, 112646971, 716419192, 820618514, 854269641, 742875822, 682600898, 27486674, 648247165, 325734409, 149726892, 996802993, 860986715, 222003754, 856662976, 18652603, 202240329, 387477952, 270113319, 679287443, 974880243, 49504286, 895388288, 22300516, 13751064, 976411258, 958640931, 221159301, 327380748, 955221902, 9425450, 181415223, 854854441, 989110191, 329839749, 733713179, 6866679, 187093683, 723886631, 294524679, 726149748, 135382460, 935085411, 495085316, 497704213, 99324041, 511778957, 543128576, 996621738, 744290255, 301798288, 527774475, 2283682, 459737942, 731435429, 349076351, 375330492, 381836982, 524367832, 997958386, 606338879, 365247869, 989070681, 423330089, 430331870, 430450084, 674033136, 699278942, 982132569, 673877576, 478823225, 588011223, 572520597, 52590548, 658849578, 109285107, 498488460, 534344859, 484576872, 557655008, 900053888, 922972287, 559122206, 484335605, 419515969, 964121136, 498330080, 183983701, 166898608, 728609354, 683295908, 951496687, 913234493, 228643392, 122451236, 326248725, 381025726, 553549307, 175233471, 787119947, 346584126, 807008210, 564651643, 744271522, 514794366, 924364324, 545214668, 658854025, 880745050, 241643207, 548526374, 998536424, 975604461, 478134892, 829968428, 612135198, 438573255, 687846362, 224800446, 678060653, 957344959, 492412450, 36273190, 113782707, 865842852, 704565173, 406187724, 973340673, 301125429, 478044041, 314361811, 180597293, 744883721, 628700550, 604143322, 451008067, 480834434, 183988201, 859180156, 375001260, 889386689, 451787242, 652102751, 167156824, 413155326, 519672357, 319886201, 300779618, 58124313, 830567026, 250707961, 513720380, 610627934, 112843799, 191436616, 747163762, 115774537, 151884727, 266636220, 657665974, 920606028, 164187109, 862474737, 917705845, 82584871, 511206272, 107922931, 103875332, 542355762, 297863866, 700687804, 412327941, 263152644, 319526495, 387630768, 650176479, 651400390, 522673786, 50844782, 887565269, 395477533, 706752245, 508399207, 413363997, 445076369, 169200104, 130908062, 768044002, 347537954, 697579513, 796408345, 132850467, 597617278, 602475506, 945958255, 23823331, 970944437, 537329692, 103848475, 47006196, 525250853, 323465378, 345220343, 647712376, 620256803, 561723687, 306535944, 147888705, 759909856, 313402006, 525375313, 871856491, 301130834, 137546158, 499821461, 714292167, 580737118, 84985910, 468713941, 728211737, 464327518, 280414810, 846609010, 5789267, 711396078, 721326933, 838225532, 889825409, 296774397, 573675103, 296627806, 694496114, 228034366, 312583229, 413396179, 650706030, 810763132, 656748092, 326338824, 367130339, 963050464, 612700577, 38078765, 369620097, 402721352, 612846892, 719511018, 887400356, 780477034, 405419444, 639851418, 636069705, 807024698, 324792234, 448441139, 556194397, 962751237, 397277287, 250853382, 117616066, 333782066, 56221931, 346456768, 668230224, 205064744, 674434480, 152685602, 333711527, 833552139, 946801018, 134996218, 396930307, 704721069, 586389265, 127493541, 293380144, 315930416, 876779591, 415510520, 595467505, 186618457, 571640009, 210841865, 115248499, 697830266, 785552679, 691774331, 531882328, 320296450, 319948371, 948942538, 781146654, 125631270, 753976436, 933707675, 286978444, 721564824, 110497466, 360327851, 220193725, 969813144, 133861104, 86184704, 645801405, 412238564, 524205942, 669156985, 725418297, 572124885, 235305580, 620443728, 378158887, 992849496, 944447407, 289657433, 972558855, 760792668, 939409858, 113833843, 121870897, 989112181, 968319028, 461233291, 313896944, 166320624, 978652417, 828343576, 285392956, 930176169, 479437221, 909866334, 327089606, 741593535, 695211265, 653341008, 493140645, 943135234, 892369361, 391458871, 372977658, 663522758, 70745703, 296573451, 987563405, 930230329, 818530969, 468783218, 284551398, 785158843, 422830132, 866042448, 539399871, 172742336, 953610433, 735901718, 755671210, 24687842, 918059021, 891693651, 773627646, 262804676, 845835876, 104771818, 330078383, 673195378, 199614261, 715142396, 570957848, 195133203, 659682907, 551511513, 597871569, 389806908, 728219943, 912136988, 922329718, 980340515, 786933442, 555838838, 348248307, 995182610, 553338903, 634432486, 238909929, 505060720, 60007623, 332681811, 229138999, 750056366, 135608661, 867659239, 517673397, 214592814, 329258851, 110379871, 536266069, 831653225, 156869239, 57866175, 372771662, 198587103, 232800264, 582995445, 619477519, 145249641, 994266095, 883176178, 627987925, 673311512, 359530039, 223425877, 668057290, 320699950, 712859313, 576683225, 752391878, 967753571, 992482062, 38524512, 810422231, 190495740, 990497174, 682326920, 783553180, 586085802, 913440283, 245612384, 86481359, 507195397, 692434313, 24230073, 867891023, 985253645, 249976897, 211546544, 132271048, 68067628, 862357524, 158078750, 758267781, 114455258, 712586056, 546994934, 808326761, 838981173, 966368905, 864995256, 934999680, 276125059, 979540976, 399015349, 329343570, 623837261, 904989746, 995350662, 974746624, 20126639, 256669532, 644585916, 906817904, 622607804, 680167615, 64433292, 487201484, 627663049, 356459009, 993489733, 491229920, 295500541, 198780092, 331908340, 842045201, 880406211, 340937757, 325862857, 243407439, 658087317, 956308756, 644062108, 873353301, 183457389, 378005760, 409772395, 581053569, 751042001, 993256723, 324826774, 608797529, 815824680, 242532832, 880535373, 317717750, 672372272, 371416030, 431423441, 103602024, 67109546, 329893263, 988786735, 224973953, 724462393, 427459818, 327145347, 277712776, 394072537, 584870600, 266303282, 836513660, 300418431, 2665482, 215218726, 273713571, 651405723, 571305561, 834307748, 29659598, 137383013, 292524, 901038717, 461619099, 41101029, 971364034, 679805575, 244587278, 384179079, 318209343, 620799662, 118743259, 168203256, 435370432, 317463526, 972645750, 344845525, 280522222, 329343261, 763470329, 253303267, 43401087, 633539460, 904801161, 152589864, 129198178, 698207955, 688597268, 759347235, 216463268, 119184452, 230246787, 483164029, 90684422, 484813684, 995044366, 647524100, 250111736, 31109154, 760403936, 355380622, 220397008, 877296750, 576011695, 526398022, 977541168, 909186901, 358538309, 369908689, 976733050, 395469033, 618950160, 148817624, 96391011, 841554406, 886450972, 628474861, 168667519, 693433495, 976034748, 584654523, 972189615, 696216855, 473742137, 586122783, 334414483, 418400651, 102585734, 198955796, 383351846, 89621709, 186397325, 901228819, 206592579, 442678482, 646847024, 215762963, 705052374, 166308595, 236009260, 308007156, 733144348, 911714719, 576867231, 350502547, 517696144, 10419386, 373477478, 500895193, 682732667, 352496488, 337175771, 732797690, 425202741, 189448651, 861389089, 125820957, 475905145, 390855792, 122541166, 589138727, 703690873, 488638808, 765217488, 245796100, 327336741, 409359149, 940996252, 150631338, 471300375, 986460604, 894064038, 1271202, 434271359, 546018019, 476511333, 16274396, 595108601, 380198879, 559298182, 384680037, 110631233, 189454993, 371278246, 438550068, 408497749, 234126240, 585862047, 71382324, 197836158, 841610406, 358700792, 38659181, 120561653, 237770088, 636994454, 61088040, 437579765, 976439946, 676199075, 319278431, 680302593, 631122874, 899726990, 125230482, 437347682, 503862589, 909489156, 370869300, 572185459, 436662762, 66527855, 575593536, 134605578, 833703074, 927607631, 219336839, 6906079, 490219673, 622744038, 994220801, 327163518, 887086762, 676735112, 347495993, 876531703, 55373820, 819152967, 356113070, 232027931, 189446369, 162238011, 344681371, 394444617, 299084855, 927274627, 925424622, 472383396, 107913977, 555582312, 598634062, 451341034, 832988297, 711016734, 555276702, 892173115, 190973611, 697102582, 840375991, 123038610, 212299011, 491374175, 772594350, 584439670, 277605241, 928636891, 804987172, 445970535, 355038974, 617029532, 589983294, 682217758, 89625762, 803571486, 593180573, 484509209, 947433617, 86872088, 285874384, 960332023, 434347604, 622491942, 350191556, 843130289, 341556911, 507105248, 239449109, 912622725, 581724026, 722136006, 691139400, 703803324, 935445408, 555548639, 914421790, 116080079, 9294548, 848156274, 499314704, 7342392, 814923956, 92860087, 220102440, 634212351, 679221602, 920296890, 388852010, 642053629, 807079836, 922941714, 820219917, 185082979, 235055663, 403019282, 297803197, 930570216, 855126672, 914359065, 287327286, 877444406, 432392221, 398392751, 851638454, 514697828, 218853487, 730052752, 775191292, 725225009, 634512699, 350910894, 890116956, 308432895, 708563535, 804739795, 751841678, 152162816, 677584120, 837057032, 444390754, 589864873, 645654364, 66226096, 73229082, 377199914, 839959549, 952209899, 769216269, 133837249, 674305692, 13606016, 76489727, 625780525, 665901670, 671489906, 547958357, 20365291, 910977788, 416499743, 72598511, 762595046, 616621649, 425171642, 114440826, 640871155, 750138018, 335887902, 210052080, 124424056, 421611272, 547746156, 621604874, 811503057, 972326559, 909589502, 50174297, 142719028, 368497648, 840597435, 87540760, 640825534, 953150151, 197124631, 283419391, 241154464, 563244807, 829610363, 55522671, 746971220, 861129400, 535995036, 4215625, 933231512, 342380750, 520767203, 679638508, 210050792, 558489503, 576267227, 177348452, 580515022, 383894600, 283750129, 766520363, 506062684, 446629186, 279138609, 284978643, 859734483, 305991557, 315187158, 974921157, 117576867, 169089999, 925761418, 764373041, 405651415, 647875816, 53415649, 491300306, 723776343, 221852702, 372818911, 743061445, 429331787, 232384, 128746533, 489187589, 126689009, 184608888, 25045905, 184934206, 955719495, 517276052, 83447309, 367792505, 274706927, 345760393, 920153104, 854530779, 956425369, 986933640, 900088347, 234028316, 189010951, 834443404, 332383957, 720470590, 493349935, 623682564, 771936958, 629287634, 230042467, 120160190, 128074868, 972127117, 428933190, 31688257, 831349278, 717314750, 526708673, 966963183, 157001778, 526208230, 442311495, 50603303, 752250239, 949894597, 603541187, 6269166, 922597839, 755528875, 300932105, 954591827, 810255418, 777227661, 707459169, 100480160, 502639112, 343216866, 939581098, 68653891, 115840262, 122262261, 952432533, 918594966, 699504172, 437275013, 647702839, 736325185, 597375337, 900388168, 218015160, 93655587, 88257692, 162604800, 20672805, 571083319, 328362800, 326033993, 871864315, 704539602, 693795848, 268722689, 575146902, 544684235, 223700567, 789120757, 994333602, 795505390, 763615908, 238029391, 640693473, 184815452, 630113412, 72071330, 295628311, 430088647, 241075639, 278667254, 749705384, 664147718, 125130661, 993682714, 544763375, 903367057, 542017263, 726764966, 220151078, 229955686, 5212841, 440922845, 297316977, 858145969, 92622074, 141001854, 960320811, 764211441, 729251622, 774205031, 522150538, 781133985, 744754267, 362391736, 469529585, 751349436, 953868544, 59811003, 614778948, 894074215, 949287753, 793052735, 236202071, 255051005, 180439030, 383519238, 265909058, 807498554, 509766146, 886416122, 50880873, 458742912, 429742515, 823121209, 409883806, 62630351, 225481646, 525314727, 360855493, 926715425, 558581733, 96074629, 56471696, 604239828, 662595248, 235077164, 250607577, 462515565, 452300935, 628372017, 426346660, 653144897, 521868355, 955790793, 355374280, 618179015, 260855274, 35277335, 377535052, 517302416, 127035430, 586928688, 320411861, 654938124, 629723419, 167412238, 912487835, 510492008, 815020417, 31788417, 33529360, 65186782, 759977513, 960720405, 818056734, 868804836, 766835333, 776352926, 63367556, 735909085, 889872994, 49765661, 174063293, 245237911, 449418849, 682970022, 839172805, 463939462, 100736418, 380402157, 9061407, 548163824, 368840454, 84615631, 257757918, 182127386, 376794701, 65856158, 601753845, 670936689, 317886345, 341748076, 806444113, 3737778, 721181926, 32647468, 4736468, 10918975, 423801524, 560284523, 650483626, 289657048, 698364862, 58927298, 598768927, 804287668, 920878181, 77898939, 72452829, 783763756, 249048354, 573063387, 631533880, 202741975, 643453093, 617659082, 33643917, 483505542, 948412732, 846131071, 743930, 711856856, 296980839, 483010592, 436519969, 11190890, 708922535, 148094106, 579583246, 577829389, 746848688, 632920240, 616367274, 375545667, 793456996, 741810189, 394206866, 434039440, 959454100, 849854952, 319106341, 883123155, 654999752, 132785683, 195809817, 616816108, 592308316, 130639031, 801536267, 448027297, 456391331, 415067985, 320675141, 95346307, 72945622, 64121938, 405322477, 388802816, 389599993, 799007370, 645482210, 326781402, 67604548, 721508019, 549669015, 6934247, 851855876, 603204343, 559726058, 432817983, 516100652, 667962146, 501070070, 42266921, 841233220, 977458990, 318723580, 246398453, 654783477, 825836134, 162559306, 143289014, 323071962, 633247251, 43039917, 268058280, 754633280, 845133748, 191928692, 887548131, 128541, 13948703, 803610402, 806522931, 851623468, 520461919, 929480302, 259414838, 531434782, 60281330, 886313490, 200667907, 787773947, 617771333, 260405048, 817086321, 805698257, 71375144, 756957149, 13486796, 717612617, 686063691, 15213485, 277778354, 490540748, 7007016, 452304510, 91141491, 839657227, 53907887, 475468234, 453265091, 923008830, 570124892, 64231546, 397691429, 188072356, 591490965, 933097387, 817134155, 432785777, 775343623, 302451124, 227795582, 228841479, 98800598, 704272462, 654840714, 640935261, 813973555, 654728203, 448787508, 911383314, 210486298, 655880496, 672453622, 437321762, 729855343, 352752534, 236291785, 341980717, 915027601, 689301897, 278836475, 942793486, 578152146, 472508049, 136121057, 416755895, 493246860, 488641408, 973216434, 459385216, 136088924, 579924464, 388400813, 13195159, 775011893, 17663574, 465973123, 131356934, 569769804, 984198730, 953264250, 252183195, 532346146, 754390766, 626612734, 594561146, 942816846, 116112412, 965321568, 980368854, 418148218, 630254272, 180102482, 778418086, 801146575, 23520247, 597264595, 582591953, 848193494, 242049540, 587081940, 55372911, 163529373, 6597606, 710057761, 265927480, 183631325, 581225743, 362932861, 49004629, 460152851, 529438055, 822430771, 798950224, 495435605, 148360068, 549387665, 86923119, 511997226, 748201368, 911514329, 340058083, 916915838, 989430614, 716587270, 793730435, 603430274, 702680784, 140199876, 289341908, 847530806, 716934163, 635505378, 806661448, 840708180, 383437566, 335990415, 611797694, 762895183, 292734082, 362255094, 467994684, 584189206, 548896020, 395742238, 26365817, 465620147, 368052838, 834434978, 477330746, 624248485, 396403443, 465779826, 740952398, 93001567, 275138027, 564041897, 839787464, 567082944, 477432405, 236387712, 230458838, 371799818, 991120726, 342076033, 954237051, 553643873, 608140350, 278259543, 952913556, 669117032, 162463966, 581386365, 292386153, 312967626, 557488077, 722001828, 123129121, 682186795, 831279410, 448654567, 658821312, 116391311, 541782326, 763980852, 184938202, 318982151, 651407791, 351365424, 520278092, 890359285, 876675294, 182822782, 18748040, 916571707, 750587716, 278555242, 8009990, 126607627, 8323219, 605058452, 969321900, 176712248, 485398843, 227545829, 55758292, 52880424, 497547351, 686894369, 119244350, 637578478, 807175975, 646890547, 621748480, 898435345, 968654831, 918716337, 47190041, 974512999, 270441707, 679237163, 830257507, 652152960, 681011783, 843800897, 735032661, 145424971, 620328333, 139930119, 818019690, 991851758, 446815153, 767831439, 924813682, 510081042, 851256241, 186811769, 891451206, 446773688, 196164199, 214643654, 910341835, 637520024, 172065480, 887573010, 700997131, 531733496, 656672082, 36075340, 664335614, 108372306, 495177697, 841693596, 619225803, 393083816, 48262744, 442105323, 37990760, 923595516, 773580990, 742932707, 874130362, 86535282, 254622390, 46386604, 800219045, 627094331, 570881064, 417315119, 878168401, 471621287, 965360993, 346737256, 772113295, 571678353, 102222720, 356769943, 801308721, 414093192, 7274657, 297140410, 900476622, 26545369, 330836775, 781778198, 189015037, 301927085, 737704355, 755271210, 451584653, 743869747, 952811301, 204992213, 846888761, 389810920, 790341554, 374273343, 649743534, 944740304, 126553505, 448897970, 787676728, 36720535, 685601135, 546688979, 758263620, 766166623, 831630231, 328622466, 914611096, 405631388, 296847439, 389358530, 605879232, 557670692, 27170848, 978622976, 276222900, 556902984, 832945328, 816863085, 523227373, 124927231, 546915054, 938785584, 927487954, 101424099, 399756993, 681275342, 89120137, 992215643, 684064376, 466859536, 935208624, 401920582, 263219327, 280287859, 605028222, 233931078, 244555238, 9454390, 592914144, 904953631, 21541492, 133371738, 798172242, 759785395, 125284326, 173327525, 435343047, 865305356, 605619062, 947865034, 804190994, 749830301, 719047130, 446471442, 431901713, 593538832, 792773282, 108359957, 401824407, 581195461, 371443516, 779789087, 769205262, 824721709, 601456405, 485616383, 185544580, 95385672, 297682149, 442739750, 85022014, 480946068, 232546994, 437720966, 197141447, 452344290, 475346394, 448968866, 556880073, 235260629, 741357253, 969813968, 68715074, 657033311, 836737364, 655196179, 403647660, 916100633, 805881321, 467378822, 816937888, 790551592, 390806718, 314687318, 54278481, 402885488, 862114635, 392390476, 98850108, 162298090, 876541434, 326488770, 204919626, 461286844, 195632246, 868570469, 137157266, 450948928, 526416205, 555660735, 216343143, 35886438, 525808681, 959312986, 679788284, 772376614, 940967231, 474988741, 167486380, 219420893, 944251785, 66285368, 616133153, 997395884, 899104230, 768787298, 385221046, 685913055, 892972249, 932064476, 785378186, 659973230, 848832618, 968344528, 505944211, 507114713, 235289417, 918163896, 692505315, 834927456, 756195638, 37427989, 341549252, 943622643, 194055173, 461959777, 970392575, 99217183, 914418247, 934314709, 948122650, 357117528, 460256407, 57147611, 648063189, 897179811, 733995206, 530782294, 133743367, 103618827, 299293793, 713124880, 179358768, 249518162, 302670054, 290429864, 554726363, 819151452, 730553853, 514463096, 370877976, 255852831, 651401778, 606842639, 60721709, 220761774, 444053767, 884453197, 504646309, 921344230, 529398215, 943939959, 43454959, 795249684, 515658780, 818350977, 314270107, 726271232, 843665591, 67458445, 320394839, 637780031, 169937442, 787160719, 200208585, 204768851, 305296710, 386984798, 105196401, 408298448, 610609537, 22592327, 999077140, 321915257, 346366718, 292441921, 744917334, 605218192, 427501465, 901289145, 869043943, 276640175, 354058877, 352450856, 518532572, 538221075, 567350761, 149051501, 702656305, 141233430, 240610869, 550509442, 520758643, 160914009, 647178859, 76449582, 779024598, 250046377, 378744548, 513531663, 878425057, 617538842, 298370855, 699488348, 228206810, 722830496, 453503962, 436791122, 177593047, 356773497, 548572252, 640434155, 166473740, 971968542, 479297232, 96198247, 380111658, 608803298, 75052686, 759147855, 617721202, 143741817, 661602088, 880098795, 604182246, 125336277, 49877053, 34548867, 570896299, 888150380, 72907235, 459960666, 870237203, 172094126, 141538958, 895282074, 355111110, 848265364, 6704928, 522419913, 968827293, 823328680, 270896549, 706719677, 149619187, 287429763, 754377052, 507202626, 992743343, 990757015, 214437200, 209904640, 642019325, 746459080, 599636726, 488022744, 953893170, 153409683, 657933071, 370525149, 351468672, 194576011, 842767546, 33057, 225090164, 757950439, 368141655, 552226479, 31359432, 743706892, 442623670, 646948925, 838333757, 814760907, 480914407, 862033625, 706789671, 713642893, 46287214, 88831530, 961140999, 445781649, 300458461, 560143054, 784986980, 660938773, 663212491, 482549052, 605333289, 967370204, 218206398, 849976133, 901176090, 743863425, 114642946, 202590218, 651005392, 216645793, 799057299, 364767266, 619375310, 778945782, 848890405, 381488849, 845815373, 520448078, 597026690, 203342712, 103184205, 398891166, 521442381, 372682677, 135134729, 206367196, 332376787, 462103570, 210200967, 768681256, 382192136, 362401990, 374954224, 668284735, 110094511, 52476413, 219511306, 12637816, 177198682, 486433255, 171661952, 730556114, 38820146, 722637309, 557980333, 461208812, 152235679, 816228319, 453300754, 223532473, 520790128, 946809769, 637886279, 84171018, 712702015, 291973126, 993493794, 551298327, 217660394, 610901649, 904379303, 256879979, 980553146, 207079755, 289881296, 461453215, 741148609, 769133734, 244262326, 447055210, 550402450, 274057369, 436419980, 709930607, 487361319, 161597939, 615414142, 940420157, 165156501, 561417111, 229040581, 578885580, 368835808, 760980160, 452734404, 337934681, 3315128, 55233429, 619285614, 442318876, 573260694, 66271070, 703974984, 369485891, 311073703, 508785052, 676163350, 585732715, 815869603, 692430286, 359447110, 950855123, 659053977, 815807927, 860378567, 70223700, 511820699, 196837545, 784728013, 131672076, 42892773, 376068736, 911982463, 80798098, 515712249, 221974133, 148383753, 797663870, 908814999, 581344672, 549012261, 72985707, 372284951, 184119969, 460135231, 615914409, 668543305, 776191559, 119414179, 649559894, 428507884, 514984443, 194695522, 103878983, 250811486, 362369938, 882373766, 443020108, 602484135, 40281377, 772412226, 452973083, 305600188, 938049828, 483542563, 718497324, 187128782, 294634681, 145774537, 999840436, 868096855, 690784224, 451136972, 890490038, 676442403, 219850051, 337947119, 35556822, 217588532, 467499312, 327054616, 206119070, 532785811, 360204811, 451828340, 652759019, 23275788, 256866858, 945300335, 890975666, 601563775, 187551252, 374284843, 437182482, 227680064, 472966274, 790310295, 709547557, 425227694, 693988265, 904046356, 640487227, 594988499, 571741202, 630165059, 557312568, 500463297, 605221758, 647986367, 13100109, 947479680, 365662029, 321825758, 104495209, 257268029, 819419290, 923593954, 679503020, 110391213, 973494463, 321013779, 796313290, 19891823, 112360900, 325156860, 557562806, 133392328, 182512378, 578233468, 513223587, 143464387, 668904644, 508763604, 420416416, 347022086, 464746581, 217997224, 965033078, 840805883, 392585432, 378114188, 502312553, 706204727, 240852805, 554731655, 555855622, 969074772, 878541689, 291079659, 234461704, 265735317, 578628270, 630066211, 617611411, 614756556, 432680618, 506644774, 273705391, 853518284, 944757304, 134688505, 425190142, 786155015, 447927499, 281438999, 265643492, 775608158, 644842792, 176291337, 556294405, 614429562, 653312303, 77264730, 209766134, 545702931, 409037798, 812067719, 703858040, 875190548, 667146978, 713926731, 945888913, 940819321, 386664157, 365583076, 715116161, 43477113, 550741628, 532103657, 665685383, 791505484, 681837388, 946733680, 832599074, 349570595, 15480007, 120784291, 837278084, 779863437, 965608893, 551180002, 41886636, 578383287, 454924643, 999028303, 648966755, 741336997, 593536591, 65740948, 362020726, 518218849, 640495427, 483418543, 622575356, 155418034, 110226931, 216657821, 666656955, 584606375, 491448759, 956087708, 159214277, 910034857, 315946950, 355773330, 588527314, 712570910, 612529133, 662935433, 531876812, 842860336, 409244660, 504363670, 598338775, 448117849, 254479755, 757551275, 240890696, 779738256, 291245509, 731586472, 654721303, 888990568, 98322842, 594921965, 284895538, 648922231, 754067479, 726228569, 342340223, 236259683, 472211605, 186167998, 829894773, 444927358, 782119357, 693600488, 436851297, 103064180, 222115546, 444526840, 605578599, 176587866, 736973798, 473086610, 74101891, 762745807, 854794122, 541897801, 187198378, 632407095, 536862994, 120703424, 604573334, 464315876, 729453392, 781448295, 782320759, 948980113, 357587823, 150233004, 291149587, 731564774, 413682917, 610311931, 683360474, 675247150, 323802092, 496184625, 743022134, 34196944, 259929883, 976034591, 484787059, 940794516, 602842406, 128087058, 204552993, 329963919, 595147756, 373203080, 342962348, 889378250, 129697687, 370872758, 789493700, 782375648, 913505252, 582185331, 847391977, 374901328, 787135007, 722567593, 444681766, 185442461, 940246385, 246532151, 460032693, 320527969, 669436954, 876930300, 214562744, 713522966, 276045913, 520408452, 24480611, 514346684, 400147134, 972418751, 131374302, 415982421, 860286275, 493929934, 334621196, 436875290, 715716170, 592387495, 527723524, 728780028, 506605524, 688973166, 671888141, 905386111, 520383626, 862925921, 830575591, 403104684, 106425503, 331808456, 188089443, 10815219, 565642939, 358094969, 867175074, 29066438, 924721666, 544286766, 949220361, 830356434, 322186438, 797193948, 999088195, 944168751, 17296315, 890667968, 228600007, 689463800, 549461114, 407062945, 992741540, 644421095, 256227231, 449048778, 511541812, 433690742, 471926479, 298416439, 922848226, 463237372, 696399197, 990165276, 126746212, 929465355, 171829000, 688944091, 386745327, 30684224, 583176818, 535162625, 57037215, 902111214, 610620379, 779236177, 721063716, 907064426, 194030915, 275393172, 627252200, 464694205, 543426838, 302281508, 598425543, 154663581, 968630936, 70174958, 772688641, 460094785, 845398822, 923687205, 119662297, 12986991, 329973646, 229840711, 888382852, 929917485, 180103723, 363932208, 965428031, 705458355, 294353381, 532132948, 900202384, 47863497, 43684819, 290522645, 453193026, 389886117, 871853160, 65327774, 592273774, 791906761, 303073314, 825127167, 7861424, 652106810, 707997475, 853473899, 288078750, 296366579, 753958320, 92979083, 880497856, 580041700, 336240302, 943001247, 558273475, 666893107, 232852259, 910943303, 734718839, 992576534, 972667864, 934536176, 122186083, 798138702, 878165482, 987682975, 415555455, 638826798, 973746721, 748252865, 605406427, 395229697, 916495069, 808527122, 764273058, 504442542, 942513426, 53045046, 998103045, 402982620, 610150125, 78643856, 370691006, 606947766, 699127215, 581310088, 520189570, 731093766, 200942881, 410997201, 506764123, 270889434, 3214019, 67917091, 192861192, 118168651, 872261890, 614385714, 253792561, 29201571, 974773766, 191634218, 549402052, 932941723, 453093668, 222666012, 971800714, 90668489, 736496201, 973834698, 323221978, 181780500, 370769177, 601972012, 464746187, 820205139, 5631204, 225121752, 999690739, 218099399, 914055263, 468644838, 27536217, 437735413, 82202453, 336712227, 957416531, 609854370, 91358152, 685143970, 607945368, 323506158, 499834623, 900243029, 17405950, 155272930, 299324309, 501638246, 188885176, 950085620, 957576258, 795527746, 808378867, 974679676, 346445754, 663524805, 410945110, 194188112, 481769462, 719420608, 451804077, 549610158, 349558025, 679008651, 189047350, 613770535, 564426911, 999313000, 379723930, 829627532, 68213419, 406843175, 765938588, 982766631, 109028515, 508739701, 937509627, 241297356, 547559258, 570983840, 996991456, 715856085, 901737485, 935048656, 354467528, 49428885, 578632410, 611433240, 631619443, 751726794, 612270331, 373695102, 545065749, 744959829, 371470059, 739772678, 913550211, 167484129, 66634279, 868468519, 560011929, 570066733, 978652222, 278915183, 497105318, 501406252, 505469007, 44424902, 861468706, 655961020, 967413462, 269595980, 961337940, 61978990, 721043629, 259634431, 836576635, 885521519, 546441422, 190080486, 806491576, 416577696, 911560487, 555314857, 827301887, 65700299, 95583493, 989384574, 932878488, 843009525, 901915327, 175894974, 346037861, 281003195, 883692425, 419706572, 470318984, 70227489, 207090707, 941495333, 918758130, 662850211, 101330114, 583187243, 953062301, 384887919, 108018284, 450598564, 326501138, 930485101, 300867470, 267614698, 447740996, 881038602, 368237118, 413718958, 505675570, 88786161, 892089332, 839845015, 745241488, 285892382, 209713032, 911931071, 676073164, 759319822, 781061092, 190291952, 742717837, 81117746, 904929968, 892834302, 987145938, 529683689, 471349853, 885797666, 743496573, 906527721, 886027926, 905291228, 103945278, 315591141, 91061696, 753720009, 26178002, 217917690, 951492207, 951406264, 369770442, 441621808, 621470889, 667286255, 596259589, 422938507, 939320694, 535141947, 57332918, 877994421, 188347799, 338590617, 13682392, 83040141, 664788894, 776147858, 891525260, 302886385, 903522802, 217885392, 597132833, 920161087, 960156739, 409495545, 998535992, 8917970, 176154406, 38453571, 668158421, 52500275, 274086399, 296723018, 997397688, 16213568, 724741923, 624178400, 705804348, 778000057, 647593158, 314325022, 227594710, 564258072, 368451036, 437069493, 108946197, 118469114, 38843632, 399539341, 294386849, 622196728, 270713816, 753365648, 701083767, 174267094, 554640305, 191358519, 16899022, 140901269, 394250193, 746041002, 637316636, 224800036, 702358732, 723810604, 755404900, 410025473, 393850672, 196035405, 409421379, 573665010, 883218846, 664923003, 662585796, 405014269, 778258328, 758945783, 31098884, 470593804, 835918086, 654029947, 299107080, 630252741, 784651504, 824280924, 531336009, 729832690, 19250974, 832861208, 493183055, 898480941, 459502292, 588482201, 111557187, 993019915, 641188960, 640672998, 189700268, 819705047, 385076358, 104696782, 771313886, 534769807, 156143141, 550616193, 832417358, 244086153, 943943389, 367451730, 828534121, 886694721, 836510198, 67701662, 564481459, 602836040, 410216558, 106992468, 792801219, 549645882, 759241084, 399824233, 209316885, 522901372, 149102861, 762357531, 235701969, 68577912, 901337136, 473930717, 893053762, 750922847, 144041187, 186174561, 887627528, 205426865, 589009819, 87107494, 920196240, 983140536, 102121639, 783686011, 97734112, 425404216, 982190774, 387782503, 869494970, 992593396, 565442077, 469391335, 226832602, 197033040, 911039500, 457228487, 432352132, 77077779, 120261726, 470304300, 322034176, 370805045, 291436924, 332229928, 395352732, 41563722, 845389930, 381878511, 325863614, 397889250, 695119672, 752493429, 92762301, 473841878, 495959726, 727357277, 231784134, 950186296, 961684510, 821247368, 983495697, 345894586, 898191128, 246316098, 580022122, 294050132, 974283293, 169991162, 94307333, 696229949, 715721934, 62870355, 493757314, 69302701, 571791870, 123982466, 548294631, 409693909, 220827204, 421438557, 34618256, 547935185, 965860576, 322835389, 521530010, 955908493, 868139673, 979753097, 513067041, 842606279, 732476154, 111138436, 1657182, 870130807, 423931151, 559675266, 953707177, 553313698, 819382176, 364562663, 303699218, 516464167, 363487640, 307656948, 8760029, 758736431, 129262889, 672525553, 26049884, 278808835, 255337588, 120612924, 818270566, 713988212, 790347750, 19099710, 92695610, 376725301, 404270887, 716722565, 582533559, 889958979, 102641439, 501914051, 926757613, 14633289, 653476358, 736415081, 970267289, 650287860, 670710925, 855085978, 891046183, 655795636, 431892716, 679211064, 248380657, 837610515, 676163700, 153629147, 459229857, 671573062, 830281455, 596057407, 936670166, 287013197, 192164446, 980990740, 390816208, 934542498, 631076711, 970641919, 467451663, 356901889, 920627624, 843378964, 898524355, 761808047, 663799447, 590479885, 430072083, 57564303, 369798365, 696972611, 452525695, 765701606, 226838962, 539619984, 896814690, 397521927, 695447533, 81296124, 787929606, 439955988, 983224675, 161635573, 854381594, 177129388, 185547037, 887624794, 221931249, 600816462, 733073665, 910370145, 114686897, 437485077, 863341806, 501838021, 9053931, 759546133, 312968900, 254634339, 709225937, 300649094, 995732236, 743435725, 888926342, 962819185, 700389830, 853288255, 822977590, 607231344, 603294436, 254202060, 956995867, 785615133, 483367706, 538049782, 833595097, 118652448, 53600746, 565477479, 875515443, 320488266, 555304249, 622984510, 725781097, 740660225, 915004905, 125795075, 231831629, 320973517, 971375215, 416413727, 19369321, 818811537, 638517355, 732642423, 404738070, 883768603, 221945452, 628630828, 447463835, 213374755, 793083226, 535617260, 697307058, 891073176, 49462967, 915659272, 406236695, 4172174, 967581898, 589077504, 463557772, 587011878, 25681370, 667278613, 824751350, 138415654, 818998509, 244348375, 566289087, 505379178, 719960320, 425268390, 833923057, 107288952, 232791640, 903518268, 819430027, 635068909, 204151962, 203995830, 621749655, 120617360, 141692446, 796948433, 859910161, 307679122, 458190182, 301631516, 408047460, 827044205, 945829145, 438580256, 535655861, 654752002, 820438095, 552227983, 65279650, 245565220, 457305011, 539439573, 461009708, 729321239, 954511080, 194765059, 708304314, 446710905, 621024607, 337774371, 800347618, 971344589, 250340891, 971065072, 525152759, 235402812, 259290305, 539441840, 242781598, 246111995, 26879317, 589926868, 436576020, 980390610, 937813048, 634376378, 587584248, 777873570, 836464431, 372479223, 368949362, 293443707, 242779055, 810758409, 610296916, 717914911, 571331642, 75452382, 375425906, 281149284, 423107974, 150049876, 869311390, 902039205, 413717965, 41118469, 461367202, 916379846, 258965117, 700325562, 303092891, 86800329, 49310758, 952473190, 538870766, 49466714, 735035154, 524113292, 164599405, 877290077, 446531628, 654727039, 565450812, 494589836, 357049151, 97030971, 677413473, 69086640, 982706192, 819680197, 953099202, 647453216, 758805489, 690820344, 390630169, 754051408, 155446519, 10603184, 369554723, 350714089, 373607463, 104246760, 678068028, 886424273, 101591392, 854029229, 899238578, 609541379, 943451378, 677655517, 365804023, 517987198, 316097811, 630337763, 118921212, 20608702, 853172095, 529234628, 414138542, 434625299, 410545284, 764998678, 960152790, 580552277, 596193119, 581276702, 665324394, 457100260, 133019534, 873634210, 53255530, 497985717, 669282348, 571546133, 241494652, 489182388, 810737001, 774501013, 680226697, 200465027, 693491541, 113783516, 596327367, 676374254, 120806007, 496607189, 262120651, 278992181, 75721762, 854949310, 462051187, 655531299, 221589171, 687083955, 292734943, 314006533, 946191589, 562736332, 946955199, 570265764, 733648586, 677492119, 444434066, 875130968, 88914647, 553988425, 610849011, 189275568, 512186308, 64714314, 892718001, 928762219, 668824200, 191816319, 994183189, 695340557, 511358681, 956444470, 891323066, 686607568, 990877883, 208053993, 953333254, 101824103, 240541336, 361420109, 902559492, 76109821, 773081586, 408338839, 154495692, 784722256, 189603220, 830282775, 861839574, 216865899, 172486948, 723052708, 796607840, 602166123, 654981828, 646781070, 486580438, 373212519, 874561697, 554070373, 167441550, 750171145, 118223373, 300683884, 981300789, 432653897, 766230010, 106833584, 964693921, 386664714, 626962744, 11473185, 314015696, 2672577, 312071384, 275603243, 694392504, 166444513, 587020837, 86475791, 294231551, 215741055, 699764571, 116139525, 586501687, 177722947, 564474623, 652038712, 511882547, 471977172, 815783462, 531546739, 152910342, 16711971, 425667472, 37533101, 600003268, 914653573, 402056459, 433868203, 229126770, 769215350, 375429561, 807734105, 75324370, 752198179, 601127580, 771601530, 620581496, 373249689, 530186652, 957848364, 853378087, 487710824, 997238512, 867921136, 542672403, 705186705, 54122350, 559808962, 493820787, 142427631, 12509719, 522143765, 110733668, 516362496, 840929793, 771843860, 979094839, 67840472, 885942071, 51138090, 760613808, 226511243, 186517046, 181640884, 565507634, 574424189, 297063504, 323851881, 103760229, 241454390, 658225333, 26368553, 178506139, 637315973, 539727341, 750232099, 143616984, 68083813, 20134678, 499571753, 770007381, 712585131, 744480811, 706305647, 441987970, 619279583, 336872586, 210455073, 75966377, 871530093, 134922569, 166714264, 17639355, 578345769, 145635, 332270560, 283219630, 625282943, 84102072, 269936478, 950431044, 783972134, 525673851, 402641490, 354256278, 265235451, 702634934, 865872523, 739354480, 466181327, 512846015, 27833641, 292351458, 44133307, 899987661, 329438586, 751599880, 588113901, 907508690, 561087799, 95427431, 436519310, 159846905, 139508027, 642572586, 211911196, 784693506, 808923493, 367118805, 660581143, 157778860, 678716255, 735781260, 463543857, 901630623, 929926592, 432638269, 313909667, 334644815, 94732082, 472254851, 41725816, 813657249, 831659891, 862483890, 760375856, 165957802, 138950716, 548867407, 788856493, 190796801, 312834157, 782140171, 120039234, 767506325, 581444432, 995401619, 360786105, 416813730, 49064924, 78119635, 638015791, 855921776, 311067115, 254350764, 499887089, 749059205, 976457171, 31214816, 748181237, 836496917, 250619827, 630893932, 349732314, 899372695, 670644530, 118036884, 749881420, 760297040, 597812342, 888852281, 617446105, 834637373, 404888581, 433887930, 252575530, 962884275, 277900486, 554245737, 319506045, 258954451, 370921394, 782675613, 761624438, 978806362, 51065618, 995089471, 185815913, 937819890, 321820508, 65378678, 776461611, 154775569, 770159843, 869523911, 235135585, 749248182, 370507750, 337676952, 211749682, 324910470, 402202464, 691789883, 978287174, 377541733, 586508972, 921078682, 341660957, 80867431, 664669371, 791577960, 142420963, 40655853, 253334589, 378452395, 261206111, 849667451, 345437009, 763928719, 345129243, 628523175, 86382500, 428696581, 408207142, 49910328, 559786467, 248794057, 6676487, 201370850, 12648471, 267054088, 839719785, 362638702, 975517714, 596639507, 230421708, 362762923, 57787446, 743004975, 633616035, 298801715, 464893346, 415110350, 696591795, 298937150, 765366805, 843120015, 669037895, 13487239, 960168215, 862606920, 968644335, 329802181, 863102717, 839104638, 976203464, 598119310, 843551558, 995177134, 69168761, 649247976, 711017717, 254636619, 136728592, 607723295, 882064751, 511429583, 559246940, 684821565, 255356174, 524354061, 562206129, 823586022, 134995736, 717068194, 545773852, 267980342, 651986664, 915101771, 538431240, 902228229, 542480907, 180960353, 901305213, 808553644, 302801958, 835952470, 887023268, 807365582, 863312452, 891841, 827027403, 788340107, 199522754, 70827764, 841959434, 258994338, 591132244, 279437053, 616385878, 203635184, 128824370, 970082409, 627212132, 901849047, 119777219, 610000608, 295999813, 695061694, 861311570, 486737863, 58456488, 374900942, 319131727, 865393319, 953430586, 919040101, 584692873, 731531993, 998563224, 502694191, 848160792, 194895064, 549824870, 821187886, 676343041, 322966670, 154202671, 842338863, 296181701, 430133676, 439629268, 702652307, 216386072, 389741675, 185817946, 440387328, 894537922, 336722056, 973924095, 478261103, 992907905, 364378103, 352038298, 164151351, 161125679, 779096237, 635760530, 8088846, 960330672, 563516561, 803763353, 623728659, 463829494, 800826562, 48280692, 89564913, 157720853, 75506721, 199288195, 266824590, 22431626, 983518810, 611747341, 702683777, 95454039, 527747369, 146117868, 611998825, 298655910, 994808582, 476774076, 747444674, 402995445, 603051398, 221373106, 454514409, 555724143, 878115456, 842958132, 800243495, 112083217, 526598869, 113934522, 327129830, 421966678, 869831096, 885780597, 674522806, 269282212, 706389509, 705681255, 38702430, 404985527, 249996177, 623868707, 293286923, 438744192, 442519584, 861374360, 477487083, 349748852, 865333113, 440769555, 536533373, 187442392, 784096282, 26932394, 241589254, 55175047, 538862299, 160902027, 737579369, 85103511, 409643639, 483318631, 543183304, 620725431, 468217457, 224757657, 978536901, 791871715, 710605863, 33312080, 753469505, 906728486, 209298248, 399896029, 625752086, 286975498, 693872612, 430959972, 109166424, 800032686, 840371529, 613495193, 822426667, 165521172, 771762221, 612143940, 805452791, 73584331, 820997608, 350094672, 299617181, 781675916, 291073487, 412860254, 510915688, 704899772, 863034099, 315875887, 106086302, 301712802, 791203342, 167196613, 778633799, 174989425, 18286133, 647826669, 513168041, 590231295, 575815779, 949480769, 294281935, 809644322, 625869164, 969686783, 719992388, 633544746, 739388324, 69248318, 896692519, 442685441, 583561100, 789766844, 356052239, 140149248, 412173036, 274380692, 734888340, 375918521, 884867598, 413208837, 495902991, 165572488, 581953179, 963544308, 201208195, 638228065, 730158902, 946020246, 420116986, 97300496, 94579099, 396413086, 919275372, 275620808, 739431286, 330792837, 331811130, 683633297, 983400538, 273919185, 41527513, 639414538, 747065240, 212116645, 881968589, 107885185, 300078257, 886969463, 669995077, 448816021, 899806604, 30000900, 893603686, 486668473, 929726267, 444341559, 80741964, 128118760, 687442595, 258945335, 729366318, 182120644, 389861525, 290115649, 264665261, 386219993, 310644253, 519266580, 400353444, 30983579, 655025070, 910821985, 727158963, 904171034, 840231768, 56347682, 299367596, 974453300, 835834637, 954753125, 654116376, 689251059, 938156675, 427009525, 913353246, 154901290, 673642788, 796176844, 864864014, 893580269, 338726382, 31892362, 43263181, 941985369, 261983580, 261556368, 85995705, 729063824, 398764625, 739091344, 149542575, 182245285, 450378773, 947518607, 679578960, 566394058, 574925612, 15751191, 746112028, 277174192, 309954594, 316786900, 634284768, 21746509, 570478224, 429581392, 585301103, 784214977, 497577212, 394136466, 898482550, 307675926, 9537559, 821626235, 310476691, 806951780, 988109586, 156038206, 73195493, 884297747, 82754242, 822937850, 915908519, 588564381, 434427486, 502479448, 84314377, 760195689, 875107757, 547265520, 971203689, 226020219, 331910469, 966153157, 965730160, 387092392, 311717364, 882214270, 309760050, 150034346, 950966700, 474236987, 637672854, 674590620, 353389932, 789294112, 418842060, 462039398, 346011415, 186883243, 783371307, 321195572, 763131578, 707931162, 761293684, 857275067, 450688967, 365297895, 826722743, 867620367, 751092466, 542966857, 651936638, 520549115, 860538705, 562477681, 180730138, 701323489, 643078766, 996183122, 475096869, 810662781, 17540252, 362995215, 869884826, 404930008, 300005920, 698863623, 208365879, 103827198, 442837073, 8668328, 974687216, 132832980, 655452843, 260181735, 559457259, 787374062, 445289976, 246924038, 620039171, 662954386, 626280296, 697968998, 571940671, 571402991, 170638761, 988154874, 850655062, 653603513, 618953959, 155732817, 217036651, 630602896, 628387385, 722246879, 995233160, 754228094, 598346886, 117608204, 550053513, 131820839, 950285522, 839445244, 646084628, 700314276, 737370241, 255640417, 153189076, 994981342, 286059797, 711656309, 345438216, 35926743, 678771606, 890297202, 281235431, 240784899, 399917064, 509325438, 763077172, 779389632, 799932195, 338383869, 116872261, 689923738, 203550735, 319193010, 441439073, 738704912, 669585777, 730641692, 266021944, 189893970, 774543085, 351706363, 113651295, 734740611, 918495446, 265461548, 659659326, 391900267, 596252484, 365201030, 598274221, 370826911, 244510029, 689141182, 119410676, 10343580, 439287889, 499146090, 331794920, 666567614, 281992529, 502770083, 305091160, 201666550, 728994232, 204202710, 722555787, 22464031, 172876159, 827372965, 429315435, 371820638, 452214155, 39696828, 969206450, 705760693, 812279939, 95307565, 4111065, 617655, 851741487, 107999871, 15354719, 396442631, 735278380, 131876443, 921585112, 741527016, 484966030, 830165491, 372460408, 972897367, 465580542, 853402983, 526251621, 162979560, 88253680, 639921709, 223661240, 233702433, 834760908, 381341548, 534289448, 583711114, 617362645, 414329819, 73021259, 91277810, 149139162, 436606813, 156866303, 109296135, 643616911, 693398491, 346259067, 455421565, 677197809, 893005993, 213208475, 550686918, 676116780, 751275722, 94085680, 357096623, 327463044, 910670295, 786183306, 475353918, 881517271, 973964242, 687919547, 298898408, 224958673, 410052733, 780675438, 752229324, 938636524, 128854994, 985251938, 154589371, 317368160, 175436951, 670763097, 134708138, 92525470, 445876349, 9870277, 823279039, 832025292, 601866834, 657593542, 562114049, 667899343, 259256387, 449730514, 90049481, 232889706, 302857085, 158602748, 379555203, 177568239, 313187993, 158365268, 681219686, 390645789, 19342663, 427583740, 895051127, 725934247, 76089452, 378303528, 382297831, 949516414, 704001063, 226980081, 561009316, 434623712, 215981203, 193900780, 48503257, 867947979, 50525230, 187521487, 160687268, 158211534, 122218198, 41112553, 918600876, 850075240, 798956125, 416523471, 641669096, 570315789, 940699243, 243224063, 468155632, 926801555, 694412756, 126304776, 983508325, 96026416, 680153341, 709498101, 91442717, 992558391, 419997461, 196021007, 645369311, 826927240, 494233052, 193566425, 583102363, 225153408, 322613966, 674582672, 44611739, 640701898, 8581508, 375550018, 652309558, 773872686, 915241885, 591860033, 490857049, 115041257, 920666949, 356913049, 859505755, 16679878, 731155980, 734651919, 194382589, 722172786, 597359734, 907093853, 265924588, 324885586, 259480601, 243852158, 800676484, 648674980, 734824566, 274026659, 569733284, 303489513, 950644676, 625403037, 165031728, 472276861, 412850980, 709723947, 15367513, 538220726, 589380627, 669108141, 513956987, 523361134, 173567461, 268745890, 674414148, 803506583, 519645396, 983132447, 237961585, 218250916, 623856322, 331580081, 499916733, 788439496, 867129642, 556198816, 652043849, 64417408, 372258142, 602375596, 399859994, 248075779, 564989100, 319476826, 19329350, 626952412, 845826669, 719685576, 451805181, 891062739, 666376296, 952883424, 921822635, 469565716, 687551490, 906916656, 960004330, 188624276, 82723782, 275366813, 953368885, 814065722, 162099127, 794357798, 508063434, 551654224, 394171122, 497924298, 963612472, 47335286, 209101940, 876856523, 81206168, 647375608, 867035131, 594211198, 314479061, 532062269, 730503093, 25382420, 632167989, 908275038, 832089108, 859392397, 745438659, 783398541, 594869050, 777814513, 403902555, 749908626, 976879765, 322519990, 487264781, 451080455, 768566840, 963689504, 956909630, 379760871, 214794607, 138260268, 248705930, 865181611, 690514283, 119052845, 308179111, 534857366, 363487890, 456694794, 68423438, 709889323, 490492453, 726347823, 285193503, 726936701, 224472328, 955710675, 994204844, 575981905, 202346463, 318950289, 864103813, 899140796, 857176467, 864910678, 688999432, 668873811, 613386244, 360945398, 838928068, 937954184, 833571945, 961740823, 614495158, 838626033, 547620253, 261583236, 686236176, 195364830, 314636411, 835726227, 74522664, 611565480, 858520189, 720298177, 217538070, 46481923, 493923236, 478135761, 916479343, 607810678, 297391607, 677904747, 773654039, 558357951, 555652643, 617572874, 124694055, 882443707, 906941998, 355394326, 112964691, 100472106, 36881425, 709494465, 693717979, 561017375, 133961901, 971863953, 481571089, 324289225, 843451368, 278959473, 399226812, 285579945, 78482752, 417278379, 428924163, 775015819, 913043980, 388307991, 714962673, 460884407, 265627241, 30023227, 181732789, 937017994, 563602271, 668869547, 743843327, 602918341, 96439516, 334038585, 176299133, 787008171, 937862774, 487375385, 409903689, 29132219, 964945257, 241356155, 649303935, 358294921, 397325414, 220586918, 851883989, 557898870, 747959571, 1156663, 10480960, 271586610, 53620157, 860978931, 652996630, 794127643, 933697420, 674632487, 88067458, 403708304, 35256285, 43914945, 255850543, 234732819, 206817332, 94023423, 222849008, 67875524, 852019111, 488458783, 590622193, 19301788, 378079574, 375463915, 149529648, 787005579, 790633926, 281263642, 686351790, 934450906, 471731947, 295900320, 972080183, 292897916, 620832144, 235275649, 117411466, 622645231, 701293943, 681053313, 581386546, 226124776, 915370984, 383103454, 901736473, 535980730, 424008117, 554220558, 625554190, 841458974, 304356743, 144978538, 792142906, 759017383, 323808241, 139897770, 681340962, 267494673, 561628911, 932328241, 861512346, 184630696, 866136153, 241088282, 58676422, 334864133, 641431435, 453564203, 420333321, 107821497, 469861846, 953120914, 603508891, 783813592, 297462390, 779763938, 905266075, 616096518, 788619104, 707675929, 630130931, 670169489, 892612188, 266190309, 562573589, 684540397, 701936636, 387117407, 417406534, 326834057, 133110960, 526988889, 520532681, 740095320, 133375094, 180346519, 299335942, 243801356, 620944196, 735791181, 408196243, 153998233, 900096231, 820092296, 769411869, 896530768, 147048906, 753000275, 17746593, 768119246, 614921133, 592559349, 899387616, 440376725, 527994247, 68704492, 497622519, 61287001, 621093931, 258088115, 471988152, 774106770, 710689144, 356125804, 902896641, 718302370, 744993559, 330500311, 573449279, 234058350, 21373459, 217780589, 504008949, 697327891, 836937429, 467088609, 537891470, 270280412, 434344271, 803960467, 84444777, 347503651, 599884060, 777709014, 778884240, 181962406, 43030662, 533763747, 708954442, 93029678, 627304698, 940082859, 53459599, 583094296, 537429716, 462352188, 113027941, 521464874, 549910627, 316053539, 53902286, 838853294, 726530849, 379139509, 373985941, 648801534, 423892201, 736178419, 8451307, 776163973, 389451609, 500402603, 550454654, 973473754, 324431379, 878704036, 534455398, 901780046, 350129121, 685953906, 909412156, 713328606, 429443220, 543783702, 521191758, 979198648, 353724462, 879663608, 993799631, 484844452, 24848104, 955427905, 141942568, 590771295, 552453013, 736274028, 116067877, 88925904, 48414268, 191487445, 558316821, 183999024, 573345138, 797299896, 981515883, 493258351, 686263625, 39929343, 890564813, 875874168, 659485263, 852719729, 257534565, 211274719, 945830860, 377340725, 352421164, 184800603, 106936992, 51969625, 644343678, 222517051, 475164643, 295179641, 680088666, 539195866, 221932867, 784881018, 255498536, 264594958, 49927463, 722288873, 221146538, 785135560, 99582529, 128756142, 59352238, 291264479, 811676475, 630926012, 947380867, 214126329, 975880579, 283613796, 126042478, 372870386, 711488531, 272122269, 831466360, 685211001, 125346271, 466799008, 315452855, 364880166, 49007027, 984657751, 9164978, 804217705, 2049449, 263581761, 344230816, 623166199, 242279521, 397344468, 583577504, 936579884, 28380236, 218643714, 95064749, 19977315, 922579290, 371968273, 523121972, 67246632, 769156572, 647150692, 229397126, 530149022, 236543736, 175240155, 364330900, 939420927, 744129181, 139243439, 387086470, 891163341, 968153719, 520565693, 484789336, 723605279, 610639127, 608005870, 490360624, 573757589, 54053021, 63732927, 244172885, 715329966, 44847971, 418999532, 438198856, 657732023, 757688222, 504152852, 914632687, 186725859, 791873050, 234933455, 738160319, 478151913, 786484263, 252377528, 135932468, 478995225, 363202526, 212509401, 320391497, 534839415, 466030517, 759954544, 623134661, 542232528, 667133635, 337593371, 732873748, 788773058, 490014758, 793155137, 800604579, 285728211, 651189402, 284974861, 84334217, 41475237, 256334745, 565545805, 370262567, 756355197, 366819468, 49918500, 163111163, 478601917, 778853449, 106486145, 284149223, 662441035, 110796247, 683839526, 483178694, 551874305, 398796274, 699577285, 118742729, 367599290, 602239483, 630388583, 144621073, 992187706, 746649662, 617926710, 750120746, 153336042, 76037972, 82169988, 879708995, 988146344, 347829385, 699095545, 833610981, 695445138, 308891230, 485223142, 106200028, 803773752, 847263200, 829808875, 148939117, 925174048, 856652746, 769624111, 748778060, 622611248, 439189205, 999562693, 353776032, 986849973, 818696263, 206059914, 592999423, 267166713, 120320461, 879492521, 319451236, 977949469, 467055967, 9325256, 506195155, 113696033, 314428178, 110264589, 918713707, 218702989, 747279103, 63550672, 637886578, 412359030, 194763760, 362527211, 718662614, 455439376, 145586915, 250152678, 449743695, 244685004, 770872414, 317640769, 81013618, 737532282, 515590961, 541374555, 628868034, 421757720, 837653538, 886781920, 891521400, 250498725, 729143583, 36219749, 52471322, 774066491, 759637083, 881255802, 761308218, 566902011, 413489429, 973843296, 270912492, 244159089, 437504135, 406389056, 459326396, 439253318, 515621856, 287381241, 701790927, 924293223, 774479979, 908409961, 96875283, 385572489, 815651137, 284859709, 948122728, 772397431, 417289356, 128887741, 811764897, 65415832, 214814416, 729420550, 244351556, 914997482, 86873257, 17947347, 211607219, 55422350, 869138566, 98839823, 488760678, 629313263, 599145477, 576604485, 749302865, 44447713, 666422499, 913621468, 41286968, 263640051, 8430690, 226742403, 858080467, 413309803, 465617442, 862685254, 269636798, 885344144, 597792513, 279832370, 733396309, 780285949, 364920942, 561388916, 236123094, 57277316, 395967465, 866739189, 923506524, 676921919, 741366127, 983787889, 33316734, 300720930, 349739964, 243982600, 228498962, 371615839, 377044750, 402756128, 366266447, 794831306, 729184717, 317210475, 519724850, 995576522, 862408208, 729612085, 454968405, 77004022, 535249291, 429590455, 810539863, 89488124, 149068650, 352139401, 874487477, 370030145, 577191338, 797907638, 837272794, 386502608, 636777727, 393006584, 462939091, 476730583, 628345902, 463764081, 38829272, 776658229, 201287732, 227713219, 863415766, 325934344, 888290701, 716696955, 416599106, 202094387, 456096032, 103524342, 230451257, 998635276, 342970028, 918080754, 22831863, 221915146, 390624461, 437206479, 394398030, 243000000, 670721054, 912445961, 74864262, 476547875, 801255080, 729739227, 729221810, 624002653, 648269782, 128130116, 843043130, 63665483, 316499054, 231346872, 881481429, 79174268, 51306796, 789268367, 198806327, 636807586, 111801567, 941913818, 485453654, 769935806, 231757606, 477760008, 744305469, 23629295, 203837574, 217151623, 67965759, 8190394, 446948106, 876481005, 313672514, 934273856, 532699571, 848731664, 846624933, 517222488, 841083327, 200760308, 549628088, 460859838, 814780401, 843189296, 846812980, 859058037, 291660257, 201539829, 109029071, 494825648, 880472371, 598258397, 766585137, 873375955, 507762524, 205978125, 633289121, 734034923, 289580785, 363046386, 651070685, 318899903, 145202317, 73908216, 3142068, 846707767, 7113165, 858063193, 644999694, 808856820, 993748726, 221051976, 15598435, 420003338, 902969444, 694745684, 828167871, 810904867, 317734049, 191083092, 808201616, 986075462, 551687290, 715309706, 332578268, 301789762, 381606632, 843232612, 339239828, 984499952, 336255863, 360770146, 496901229, 911604616, 91818915, 768240702, 318069251, 432109927, 419764356, 247799605, 102817127, 791848549, 140468460, 12045087, 302047297, 193839744, 150573720, 705935135, 403407650, 564932267, 740460372, 757688892, 482784982, 913791137, 363485331, 345569238, 950359899, 93062422, 629685502, 847513776, 925100076, 718142463, 986372300, 919229573, 404923887, 471528720, 704229689, 745418910, 283346025, 626718914, 702953297, 676166469, 453608470, 730754799, 902331172, 329668504, 553498284, 90026620, 946094141, 924677701, 115634849, 243796448, 478829336, 552531469, 777486156, 602013014, 199524112, 579007450, 48587912, 8358767, 681495410, 796860332, 114434910, 648172113, 738184908, 317997965, 23349328, 42484611, 644990308, 814706888, 820503307, 718176532, 233861260, 58672922, 98283572, 295881315, 843116494, 243359375, 911674214, 316653367, 563060777, 560165272, 231632551, 967808205, 273204379, 704473631, 627151166, 652375849, 268348197, 673816725, 325816970, 180343180, 966174754, 585075566, 446336585, 547582773, 224067922, 204952166, 338737959, 591493604, 896926445, 125206887, 753547725, 296537993, 269487239, 210098904, 415865744, 566450721, 326377800, 434989884, 29970038, 177151577, 537179916, 837105710, 676897480, 765071744, 337712511, 730605054, 678657310, 162712899, 73558948, 630873262, 941409157, 904956337, 340627376, 335451498, 584489298, 252793995, 811590417, 162560194, 937965402, 463608421, 351697922, 299953999, 77028390, 699881357, 739619696, 523972260, 732276412, 74782845, 877026950, 155305330, 491180858, 471141939, 509000990, 159701444, 444053003, 60028990, 815655870, 948952958, 97932922, 302771436, 488966978, 39943696, 696874510, 239288884, 846085380, 285276767, 246297884, 965050473, 269465290, 501472407, 94469383, 965106662, 974278269, 687454157, 740899227, 760903207, 534875943, 920322773, 726930556, 905597667, 134777919, 423669592, 362289628, 718879036, 684409563, 226265314, 143266892, 121585634, 473663893, 505957348, 617015910, 545810339, 42416038, 841217058, 254594564, 699268568, 543532012, 776506428, 210495869, 879550592, 457153931, 605571461, 185263474, 478420582, 440214267, 764221488, 998464340, 999019585, 348346806, 819345373, 770270118, 328424697, 475579213, 780403117, 102381261, 882208094, 89997765, 807012804, 458750682, 64519435, 728954279, 203218941, 769231203, 500397655, 517554281, 577070807, 402720915, 714218465, 966165376, 974814347, 320917521, 862995438, 938731897, 286185221, 534561390, 603199838, 279734903, 258680720, 372393945, 701287795, 288179654, 74648268, 117163070, 952179512, 346482194, 259050326, 790389825, 578954253, 661943953, 71558136, 706157438, 695220544, 22553693, 952684967, 86500704, 215999817, 65908789, 303018315, 398722670, 397497342, 805904607, 684178989, 432307133, 272727537, 925110602, 70159148, 205435585, 21906141, 871478165, 530943217, 600367208, 883731665, 278231993, 434103141, 845572613, 331282809, 890758999, 483086733, 414585638, 556984683, 438581130, 398892726, 705728767, 277712531, 595503689, 32482125, 82003183, 279535338, 405146322, 905003159, 487248654, 296781320, 226065754, 22795241, 31944465, 228149790, 894909981, 124005246, 514598000, 216688263, 207450543, 723845751, 790105238, 271695677, 72903010, 591802009, 166198351, 966747001, 921850414, 847697476, 639173146, 672985428, 654360672, 38930364, 615929832, 983633030, 8835968, 770034920, 334184725, 163424463, 373994706, 761900776, 306316197, 433002814, 242273226, 311241275, 778784712, 987947715, 638426621, 626496423, 395284020, 533118818, 423574416, 733483485, 730727351, 591641676, 702168136, 530162517, 226803345, 849265858, 348815240, 973507787, 717119120, 931609226, 748068158, 443584370, 504224731, 283973261, 29294275, 955948979, 11258704, 564938254, 339774751, 744071891, 907835982, 92397457, 524038045, 382560811, 172080338, 129515527, 928886176, 327726128, 517668380, 41343112, 945869231, 458576682, 193244051, 475253942, 320259643, 136311721, 776099463, 456006334, 245804384, 675576800, 359978700, 357493669, 913521369, 901534771, 593630558, 744408305, 170260732, 144936252, 506827243, 427410807, 986218071, 172000910, 709127117, 619688646, 889963575, 18840956, 543711174, 808206974, 857169470, 50886794, 87275099, 650881351, 460537741, 879646050, 810488007, 671665385, 707286958, 64200578, 655026126, 553719640, 91233365, 323320711, 856932891, 746826921, 19157953, 95135123, 104014495, 702146261, 472994556, 578185033, 898070864, 699657337, 850016666, 724087635, 72376413, 421168232, 631426931, 296714136, 297479180, 957599232, 497847475, 355432644, 877041442, 805016511, 673194497, 31097010, 237191936, 958691346, 184806223, 707349700, 24622857, 891101226, 850485744, 563985859, 185372338, 348282877, 382013156, 529347546, 768969458, 903769492, 596434605, 609058558, 709613104, 757032974, 875248778, 536290552, 571805823, 774476841, 333359946, 189873424, 533195333, 531257363, 33553140, 96354606, 997826886, 443542786, 580129941, 501283751, 849492301, 29179980, 360739097, 184705719, 550518477, 174498708, 370793071, 435537138, 183035156, 546190171, 727800269, 323669353, 81971452, 715927126, 635042852, 379228559, 162319545, 913154790, 736839744, 690367065, 284561553, 408592547, 386431306, 502076370, 776332442, 935900269, 432106808, 717775049, 716946335, 664418038, 711420724, 195840896, 11585560, 404386916, 513054013, 868824830, 920076748, 175238985, 833208655, 531183662, 698433053, 937329688, 433580610, 895604239, 261140546, 516815089, 569654986, 512663801, 581619329, 431389095, 872988301, 971435274, 862526288, 226627610, 319272207, 205210774, 622117200, 923217463, 150625902, 647398667, 472282282, 419121646, 294631655, 576092446, 586418990, 242408655, 258670650, 831065741, 232982921, 463827966, 536404483, 957114841, 943615484, 345288404, 261464510, 530384155, 101601990, 836944071, 79641783, 704575063, 821510669, 915433760, 864410950, 927505142, 206104110, 222516796, 687944239, 931241837, 9243085, 281234265, 600381204, 16895487, 693140415, 642052399, 64501088, 972541029, 518111532, 266036664, 846392743, 993923893, 716347145, 141146981, 946226726, 477001904, 793987103, 140071203, 33204314, 585478901, 363591863, 998890976, 497501213, 557255484, 970405444, 28227915, 655328291, 885990146, 170531223, 605501230, 334129286, 295496697, 181637058, 939276393, 543684612, 360874346, 647045756, 433906655, 759840919, 380079816, 324936924, 867252024, 699384748, 984998296, 28204191, 29373904, 153769521, 957897651, 274895551, 76556346, 51069235, 968402492, 450484417, 962816948, 935018419, 770040062, 590216630, 560679166, 734426274, 346188120, 612894029, 666496828, 824212602, 387313157, 134981767, 572658141, 770379071, 430267150, 650520413, 349007077, 523284190, 35880412, 500495379, 524147664, 48745947, 15233558, 19489814, 668036224, 216990515, 636656515, 227150935, 833821348, 873782787, 454448846, 155161264, 139859645, 612862153, 873871450, 752479549, 542665885, 594496792, 643937142, 986144816, 957816041, 883772613, 477225144, 558224944, 510631804, 557594918, 943588438, 763159942, 634978373, 883757948, 638236268, 940482311, 616150143, 244927255, 456974788, 714735556, 892428236, 732314555, 886301374, 453015702, 988653086, 914816734, 10519312, 795554260, 146071247, 364327336, 698018543, 938121404, 872106307, 183891481, 160239925, 380273607, 970726066, 671797814, 792214836, 79527292, 158057141, 378849799, 830938767, 453424408, 946481827, 208641561, 29817330, 404701453, 20240999, 240941391, 205506889, 820011060, 13572413, 476682267, 232325224, 245500566, 984881183, 629285054, 76919553, 976633877, 803773721, 699622345, 930462214, 222126497, 473871246, 538145309, 461799840, 708874837, 924860910, 387352601, 755795283, 921577676, 685085156, 890896196, 790499022, 477799837, 52142507, 914931803, 263145336, 827355181, 440261269, 239159666, 589009658, 975581463, 575399382, 423694655, 300925534, 693845629, 505751867, 588254858, 706460411, 956683067, 962324950, 19204232, 170036417, 214514882, 541201696, 498136510, 374826368, 608268625, 885967937, 720542104, 104227274, 827998256, 84554812, 72458141, 791249573, 425097027, 807003161, 982002914, 994732675, 468127261, 671358602, 782369960, 317799042, 145384939, 242133778, 778355345, 477138187, 656981445, 942544258, 981265209, 320189147, 67853561, 951889867, 228964884, 814019672, 705739715, 585127128, 225467595, 769830596, 608704377, 907681319, 315170825, 849866770, 493344217, 958059185, 45919048, 381264700, 55646738, 870686738, 282420712, 495126066, 372819491, 547544083, 138644298, 264562177, 813878855, 406658793, 810944312, 97367274, 483631052, 296983907, 800789954, 191192528, 796689767, 39147558, 97681407, 118982634, 715402925, 669600832, 156384380, 287790075, 773714053, 216878800, 229688724, 91730127, 149996630, 691284980, 400108935, 367324551, 96640800, 504237405, 217678714, 74055471, 66491526, 707653825, 542853192, 428127996, 216704955, 543728001, 354600118, 188393247, 64068703, 899323411, 429272645, 886283685, 728239886, 823235610, 290963866, 771048478, 84556843, 364594694, 404242004, 667466130, 573765757, 12372859, 446331684, 529432113, 265792451, 500603186, 875066766, 176489562, 513698152, 95174117, 802303091, 63690658, 684579233, 184036102, 244479655, 769051503, 351910673, 167611055, 595634616, 108646009, 410616622, 731904193, 543672294, 793146628, 971218977, 435061682, 330468673, 567101916, 339681007, 417309905, 106522137, 662457098, 380584950, 841259532, 417296723, 414640133, 86146840, 691431511, 24958705, 151409647, 544984737, 745016960, 297916835, 884833141, 632257310, 837155737, 285790629, 719791707, 172960546, 318403324, 627769689, 715669799, 958640570, 610713626, 826450499, 809778506, 965677433, 598622562, 343244646, 844195297, 18036010, 668029946, 836398434, 145925486, 854004060, 70763827, 34861353, 143402246, 144524644, 989783120, 769336667, 851201145, 372687590, 78477705, 526419789, 969126988, 357895011, 59387627, 388917625, 864175196, 651520698, 876988379, 968384986, 261834486, 874835013, 74602801, 379609499, 543906942, 61554716, 186356578, 629970048, 846910324, 329468652, 50503345, 326231778, 543850408, 124553398, 38851850, 803625465, 215582731, 624638484, 696489744, 828639507, 84616754, 302638473, 422705117, 916694750, 305055940, 218648246, 992283505, 552722442, 33930849, 70107543, 240240361, 412295933, 336015128, 618647554, 837385498, 861134480, 969488578, 406710011, 268577735, 846138148, 949450669, 859825702, 33858967, 931848339, 900810978, 477557084, 265467053, 82661930, 962523347, 143421667, 950951991, 192221293, 971110430, 859367614, 435098013, 519617528, 476027942, 112468806, 424056327, 42097006, 786810272, 792876291, 826034255, 291637928, 38295626, 926469602, 135976947, 45565748, 861469891, 828314052, 393669869, 170864220, 112908162, 256658066, 63758852, 797088366, 166129785, 776785360, 211080611, 441271392, 259311545, 135637411, 528759008, 402891449, 879143227, 606879316, 661886261, 190417934, 741968692, 151131335, 656281264, 944011088, 301258972, 162526355, 224577933, 233121901, 513644260, 186916431, 826138007, 799999207, 758904719, 974840222, 356750522, 741213101, 28197275, 295032380, 704341215, 47263181, 609800198, 698950786, 317795865, 550177711, 351931304, 94470693, 895827688, 209057933, 835870878, 769973034, 968895808, 966798841, 422840629, 406988244, 979618393, 180104053, 91242857, 779830079, 951849963, 397869634, 845328085, 79297522, 532545797, 246709541, 363080326, 67254292, 77083263, 487909674, 919920000, 207277677, 124092212, 372687464, 913149281, 620545734, 738527769, 195124821, 445517334, 56466180, 476391591, 515823874, 782140203, 632954178, 675954149, 24850130, 240602312, 250631988, 654881467, 877791219, 851193367, 477820710, 660753598, 158719491, 750489604, 680454504, 195149741, 543409457, 825095896, 446263310, 96229602, 245104600, 724872414, 314060623, 897589964, 881596546, 250350783, 396926474, 705314383, 330558523, 980062111, 796149493, 674811586, 791891020, 121387826, 692350987, 462307449, 943848788, 737692950, 123161210, 551508752, 656398699, 901705389, 443181639, 754693639, 604277805, 306125925, 756960630, 813606399, 230666577, 100981563, 351083580, 129208490, 501072656, 74316675, 85472309, 318432614, 189032535, 656028550, 184111103, 254939971, 889999737, 855183396, 93388353, 113155590, 297056668, 732128387, 444800251, 215299851, 505709642, 737512155, 543542831, 236225077, 436272057, 32929106, 371616796, 938394400, 950717276, 623385347, 357129800, 906249759, 616113587, 227465443, 383349018, 898784165, 701377559, 340684249, 106114586, 730912767, 827326728, 871998015, 843269938, 841751999, 463662346, 843803120, 888385884, 438315550, 516443924, 376845132, 154291675, 543792931, 327504933, 479954589, 600075003, 21651795, 159596432, 333872405, 596598213, 812608731, 444225341, 801041848, 343629743, 13896159, 876266495, 70004632, 12571559, 229135159, 643856259, 346634405, 391802517, 942118661, 276158429, 520247069, 358694284, 457303457, 425018064, 556832282, 833308084, 775575864, 514707862, 466315055, 209007311, 330598670, 354367393, 809394048, 736275145, 219521949, 990584169, 99278815, 774556327, 134408240, 230284410, 390862998, 751124590, 899405624, 272934271, 574844632, 678640376, 362199681, 921892032, 750244632, 583756931, 571497070, 443326612, 389084281, 527775626, 43912368, 306501497, 591009230, 569758158, 980328582, 126692175, 43071447, 87013294, 602335496, 346576933, 74807718, 627414249, 9978230, 287416714, 948445893, 242171497, 721724914, 911932075, 284112217, 850601881, 313735895, 358112566, 194971182, 117153032, 605233136, 937046399, 749530021, 878891557, 551703667, 617422420, 980979054, 452827952, 391411758, 899921381, 504975528, 799522321, 884156255, 60618558, 816653900, 368569935, 350184073, 889851978, 790920355, 205692030, 712789485, 590358025, 108793766, 61060083, 174825221, 764475126, 468864015, 157674953, 999681726, 697921083, 834878552, 970171640, 204277399, 92311844, 968513919, 909752366, 676618781, 477056366, 590899132, 46491492, 482236456, 163873115, 713624163, 697250127, 336036136, 161659227, 625538375, 161861964, 539792550, 308481311, 771785108, 181461731, 761112947, 636869415, 462699868, 204277542, 356281836, 12285448, 147677896, 441078147, 187060773, 113907391, 267117339, 337126916, 224005462, 666604566, 306036264, 887672464, 627236084, 850252019, 156045892, 925442707, 508670816, 696350876, 557394507, 331063236, 640002895, 35407870, 234641076, 151790369, 607943472, 292655944, 289601652, 72730343, 418167231, 924729281, 287209651, 380899109, 671595932, 553701793, 141302697, 314902010, 831951339, 832439276, 339974816, 275660018, 614385315, 544359201, 448107167, 486880255, 859366778, 5465148, 370813241, 87633658, 409000395, 690884025, 136116370, 546268230, 96022786, 795950870, 778050868, 54889553, 913805309, 992338269, 267730003, 251714190, 372078835, 760298368, 909611236, 953522692, 813802805, 973118189, 615951557, 485192314, 239609232, 578058948, 982557728, 434841529, 870854141, 269926672, 211103787, 559590877, 132632102, 733784718, 22405694, 63787653, 535200627, 202750729, 651955880, 417649088, 233855484, 867104841, 358253286, 436799116, 800008590, 110155457, 240458095, 334625669, 679318025, 709930986, 619346389, 669840902, 973904384, 779738945, 759561330, 424780055, 967467612, 560268945, 949477666, 338572125, 859656993, 685343587, 937227731, 705140853, 48344109, 18951735, 556771290, 260027411, 722026190, 933987230, 799512919, 120297053, 812503725, 38224828, 89816636, 513285347, 53423485, 170977100, 872130779, 785727821, 744249599, 806779766, 7668171, 270649102, 21750586, 504846251, 358627443, 411029566, 349082514, 241652977, 450269385, 461591700, 931882124, 23265187, 692078122, 802953520, 290184719, 508902087, 658880174, 148803298, 947245377, 203297454, 160961216, 208404700, 201246478, 641906347, 29764624, 671179072, 269891554, 684419768, 483838031, 22539352, 668620852, 86558175, 347902793, 891482597, 246995302, 611116868, 904824780, 107083874, 582098679, 733503064, 580846735, 891352095, 430468568, 768002790, 324650218, 607307530, 393421892, 784929440, 223550593, 503070351, 558872695, 955994170, 954905525, 613151598, 192688303, 510635010, 923542833, 512252745, 997890823, 522204813, 997399672, 816585452, 794941905, 603995751, 927938364, 444395994, 884967614, 602822812, 29059190, 762821261, 988786263, 9099927, 715979502, 34374309, 481536701, 940979333, 747258875, 5673684, 646752137, 962112032, 10136576, 576983697, 376369791, 430300296, 349945589, 473702758, 240642140, 647939317, 527903497, 742740935, 348430629, 297540506, 743219192, 36294792, 879362823, 395366220, 119809385, 909921622, 187472659, 118805683, 266118030, 702795323, 131712592, 841972304, 152492742, 935494351, 808917460, 412002585, 59210531, 87775266, 906877557, 916289822, 122119195, 405081817, 16574665, 207672203, 637238136, 478801407, 820982703, 448900929, 605882035, 464649343, 97647335, 317829887, 647171225, 710270612, 632781032, 110461794, 613525651, 74449948, 403440931, 387585029, 561604231, 622050143, 840804994, 96296864, 246391522, 699538215, 627150052, 779901295, 209279994, 440130458, 312788613, 510369858, 297086189, 390739295, 884708305, 229858971, 578272510, 915835891, 484256672, 955298663, 333008241, 411630624, 508077021, 663885661, 469600236, 376980240, 200673522, 574419448, 292668495, 358192098, 944146252, 891325880, 695543809, 211331729, 163504525, 587295260, 97648747, 276421622, 941863258, 151673871, 578382767, 246576195, 598063131, 746880727, 843117422, 486710546, 185463097, 286520803, 140748354, 296090531, 581473274, 32032301, 963900725, 666739002, 162152382, 115292942, 47792170, 175716485, 578283676, 766277538, 480872606, 278113172, 819305991, 842885678, 346160156, 661157710, 444157048, 29181397, 516238414, 142926449, 715409874, 806094053, 143612014, 694417955, 788174086, 880736416, 143857191, 415549819, 92387957, 120416653, 43174815, 449401706, 127811276, 408075702, 977533795, 580986024, 696636278, 323670792, 566352355, 311507901, 240754479, 513012377, 184827528, 398532777, 894617761, 90082434, 699137063, 130822160, 366426365, 119811345, 529859520, 226894169, 889460584, 166873267, 16333668, 22612992, 95322665, 633358374, 302690951, 715934458, 123651182, 466082148, 657903002, 595802193, 5799723, 395789706, 883902071, 642114024, 428308441, 979701351, 777720115, 876709179, 332538889, 232925409, 544161267, 335583320, 598889867, 896556408, 753727113, 586628175, 988287113, 721151323, 902306399, 460346444, 146973138, 160605781, 257603123, 39790478, 765899337, 169386609, 982556892, 209540248, 578699075, 745551659, 378793816, 108142294, 1799315, 805647775, 833917799, 312720743, 685791641, 452681219, 914293464, 15240643, 523776806, 726085577, 987473956, 971254459, 283831715, 638431362, 225634583, 777112030, 586443550, 316908482, 35971162, 249314171, 742617540, 493427233, 996142536, 41528691, 12171165, 382006435, 813615288, 942850098, 735863001, 717711678, 219776004, 335776818, 535388077, 274196478, 706710747, 380813783, 400863923, 251875489, 96961365, 144273571, 755103290, 621983174, 535303188, 386033466, 600650184, 73296030, 962882627, 404324016, 241293051, 147525610, 255437320, 765439751, 54051675, 282136741, 561381177, 952700846, 426402967, 179311373, 774263254, 361984363, 547994636, 138393261, 331543729, 332770812, 707555296, 987220383, 345930078, 359021247, 311971885, 905755812, 489866397, 428933345, 170994206, 386391723, 145103068, 85662060, 667516336, 197283554, 470113870, 797482288, 330714922, 303272531, 131805153, 582690722, 292265383, 103200303, 567875857, 905241537, 636193136, 609807477, 114093752, 172287790, 933713386, 172175836, 557087258, 709231264, 946313347, 170056426, 713803018, 10641456, 719064472, 653919069, 104000967, 158802678, 986867814, 502986035, 8056914, 994499126, 785354446, 252442040, 969753736, 486338665, 21362896, 321999925, 618323000, 223022683, 389125175, 643570581, 679765310, 873250597, 20472660, 271068353, 417111976, 635861730, 960302840, 320422954, 955543385, 613237997, 314479779, 702301691, 789819905, 563242998, 727709933, 104970003, 352210988, 389340740, 689229277, 505317493, 914590859, 97261561, 156429978, 329256582, 986320092, 955343167, 608418357, 211358446, 390046792, 995166773, 727507, 772905268, 317553089, 131393370, 924021144, 543361104, 692701319, 889461118, 60087007, 794936747, 245274985, 117554833, 974712488, 306110196, 250651028, 462659695, 691227912, 700557242, 543191576, 808307571, 298502357, 877877241, 598887971, 475345532, 428858717, 623613046, 853142602, 5940176, 823049685, 406930559, 39729568, 817569660, 696402804, 491990040, 124353060, 130967204, 938743547, 69706916, 35663534, 570483983, 248998169, 143209424, 793674611, 48378595, 416039885, 514212401, 140645815, 38310434, 718830216, 566671271, 671308358, 40742041, 878579039, 221255041, 896595133, 658870554, 751443022, 648238062, 700122099, 362811096, 841846185, 769707091, 889526992, 735930794, 273344514, 486397214, 108150417, 213170575, 803989989, 975422103, 461003364, 673731947, 982852612, 989183174, 945744090, 931291636, 54927288, 446520509, 208576632, 667880767, 234614270, 825609432, 819343549, 433181697, 304018187, 812894315, 16419547, 821836858, 210746602, 62786045, 77460897, 467742801, 40918231, 837459602, 908678895, 896171482, 614977721, 329667359, 840929756, 599411284, 63521810, 261988607, 740109007, 283732559, 561984544, 773027594, 815563296, 501926230, 797644293, 705873791, 165169491, 66353534, 809018851, 673131136, 391860501, 359634532, 421925888, 749135510, 566972576, 210135147, 65050849, 772896666, 825212811, 601483129, 452806235, 105738409, 295455317, 677189026, 380662220, 769112673, 34444817, 190653494, 820714897, 425807465, 756009917, 224548719, 442160213, 455281408, 667987684, 394740208, 575666021, 799631588, 203320519, 193622798, 853746866, 667901992, 596872864, 621067049, 629124989, 893419701, 821047595, 990571468, 306225910, 716741857, 222173136, 755581271, 128678196, 586552101, 234314461, 796204519, 790789301, 500189527, 819200240, 236524150, 416980345, 552695720, 867632708, 57153096, 818045233, 450722181, 306573263, 444415550, 395552971, 601982849, 800849517, 520857953, 457813291, 248176424, 354445568, 529515278, 123791706, 984965617, 385588410, 283811546, 719693960, 988997421, 859294728, 9141725, 803468339, 279879917, 543445385, 587640023, 302571940, 366879167, 501608887, 468240942, 996247885, 58932320, 18275384, 231121155, 708630370, 578367479, 927676837, 747379621, 646297107, 690093097, 989451226, 404928327, 714181980, 279694755, 820097880, 433444076, 139771498, 582678772, 538714249, 775123331, 831829355, 507222582, 107163489, 994438286, 898672757, 919744423, 637808815, 704595917, 702224731, 455455906, 698796936, 285339550, 872182579, 562716676, 201234731, 862375074, 541435378, 238366036, 746236984, 784249985, 133420147, 239976697, 624929763, 798106185, 199524593, 138882332, 750652375, 928821489, 289671838, 406888460, 626180032, 456528523, 616472734, 817440624, 44941298, 536509370, 68007678, 440206578, 145109004, 947340191, 860939768, 549028357, 631910835, 193738558, 172320586, 20242775, 985414839, 186330740, 670301703, 49515218, 271590540, 887515888, 511508667, 999924627, 928691585, 198025574, 278455234, 575496364, 839949669, 847315041, 291280566, 563862026, 163310631, 157347865, 330392463, 453667138, 790734550, 24860928, 262861120, 696814680, 305792398, 178803813, 131057582, 579216520, 320678795, 90093940, 815997813, 67829503, 863933969, 751119236, 87506135, 792477305, 103356236, 454766194, 872003249, 936036183, 47715692, 421770460, 290278314, 798802021, 699280073, 325064405, 787414279, 943909903, 900421774, 479452237, 221903334, 280934808, 2736175, 342472468, 687536791, 529260484, 174376041, 741418220, 263755756, 626301334, 317760797, 260758519, 713423500, 415308849, 561195454, 217963749, 499109725, 955662922, 429191987, 71531800, 501799089, 188865312, 718305927, 416529161, 728632616, 462779994, 580205595, 889915334, 361097692, 391732092, 462879482, 11364672, 575670546, 99617937, 935126145, 419265807, 841678250, 742645081, 72143468, 243304447, 878295163, 377553258, 89568242, 239166601, 983951484, 231851425, 444598786, 583752810, 175799177, 645828225, 658034160, 114492453, 323378716, 395362181, 685635342, 62242603, 445512116, 179031261, 47354534, 258468962, 75834826, 464096676, 60569516, 1148157, 410765643, 259353187, 529430046, 451655396, 808653204, 917216242, 683007357, 83778593, 10510338, 749528061, 347168377, 956892923, 694940513, 383375539, 928286032, 114063832, 865061420, 203654685, 557863440, 798918046, 765009768, 787347140, 545208566, 680970669, 25503588, 356426285, 927261766, 732017521, 892266263, 488194652, 566953646, 839051699, 670576110, 213878972, 980796052, 280444148, 315564087, 195528852, 102148936, 839991225, 151916071, 954368873, 120979623, 665793011, 64461344, 495475814, 963340978, 380042803, 764784660, 436133482, 831515997, 796739668, 204735844, 173566806, 439421739, 782421097, 551660635, 402612653, 68476461, 885811354, 721572294, 197535973, 184562215, 192924504, 769761267, 958412091, 419701188, 361859137, 876181907, 552603913, 286715402, 318579774, 357111442, 940767138, 617494323, 708712391, 129628486, 212770791, 811488605, 174877559, 399316331, 564281582, 909138907, 508364778, 891567784, 30000961, 497316489, 856141933, 537564185, 43314122, 283648923, 444005104, 894947996, 276975825, 193211468, 580842508, 852394302, 768080764, 210037348, 549881157, 55948298, 217070899, 166819403, 290380122, 908578792, 294146588, 108257057, 138657736, 570163454, 833899572, 592698651, 490708240, 744928205, 464827271, 218198747, 383797216, 673700066, 102349891, 510260196, 850688535, 529607188, 689292466, 636410462, 484969774, 883262169, 208321824, 250463828, 31754939, 942951640, 610437894, 732582410, 772822246, 123112012, 664706812, 82702259, 146700234, 328387320, 355522575, 865808334, 344293037, 381048705, 492268882, 193422256, 140058299, 908733860, 960953598, 726363950, 394154879, 985720116, 443530815, 260505478, 382900745, 703630264, 983890944, 378831388, 847165580, 808103374, 924421768, 304302718, 425533912, 935592011, 402664723, 967453713, 335913276, 727657788, 447573773, 827399158, 227658645, 857199118, 433737299, 426205454, 14961062, 330727284, 632180593, 389169865, 301534664, 144669735, 195818667, 589641655, 605429417, 849624055, 962063010, 705612189, 369680507, 491760566, 130151390, 371799820, 7649828, 926066955, 298864892, 459686713, 75951519, 141838199, 2022073, 360672400, 995271440, 681950314, 213838349, 343135082, 421279119, 151527135, 914982551, 704371665, 981141003, 836481399, 383219543, 964806747, 834862181, 636100822, 373832751, 929524975, 707820065, 826891122, 998710104, 600751741, 43702923, 611758807, 540734737, 32752670, 944724561, 720739690, 879135789, 295470074, 589144283, 719229156, 30548842, 498604947, 563135053, 604009750, 898737668, 966546640, 639590869, 672183606, 280548435, 13116591, 187443183, 807474103, 169415203, 193152060, 959693494, 158277431, 828566722, 41702011, 574313919, 219111828, 112227251, 892461874, 483473527, 264471151, 183102642, 618965012, 533985337, 143569397, 955502465, 53292424, 653969017, 153790661, 877190932, 345791657, 902137131, 135679105, 738745208, 236266754, 604272926, 972420370, 160523008, 262031829, 953343331, 197973309, 65234771, 211834110, 820242087, 654435690, 117876544, 506401914, 750150116, 338898516, 621950475, 16181949, 798702387, 106709232, 13826661, 876658973, 104000590, 202808154, 690299095, 595729816, 643301397, 323877730, 297777216, 13989614, 922377895, 350753160, 694509508, 277991035, 720459748, 683041462, 413539143, 360359316, 813834407, 779101948, 401160568, 685066243, 376869643, 357491228, 158851430, 644682358, 100373933, 859603509, 500747334, 888082707, 282754342, 457757341, 532652380, 2948609, 16254612, 342719626, 420249853, 211636898, 330220770, 36017210, 2339268, 728825485, 112276790, 408147851, 211773355, 426309864, 66082527, 921836670, 931349837, 775731733, 43722937, 657197034, 293178567, 677072967, 552429256, 640143864, 808474358, 685854045, 423951761, 714533840, 213164972, 592565922, 642101617, 350689379, 34913472, 239291636, 473733831, 927055318, 117297053, 144804740, 587701686, 356162278, 649139353, 701320825, 811986856, 824902778, 426697658, 443853039, 659536867, 613765802, 136110943, 206939411, 854362971, 838228240, 584048129, 419497266, 159166509, 987001882, 142020333, 998980575, 939656032, 56190079, 837614335, 90471104, 853695092, 124686073, 810635338, 777250927, 613764389, 418207056, 827824649, 577049578, 54607483, 459155841, 317477662, 559419056, 773195697, 97938056, 581863346, 46297487, 113584296, 898438388, 618322733, 203423728, 559022547, 938766389, 119809374, 276902935, 319493308, 156551190, 901631681, 312317724, 130907035, 108056408, 736234348, 585324415, 197181451, 478687086, 606661636, 380050833, 6459561, 394848214, 12464262, 621070195, 793327019, 252027645, 231793375, 354018755, 5219119, 219707631, 262859774, 282768978, 462561195, 365499126, 773863438, 583983783, 98151134, 28633751, 272515221, 614070035, 586763884, 723738649, 283243923, 920976043, 316664167, 887831195, 440843759, 243689065, 63472663, 741815318, 992463042, 775464448, 947777879, 527274021, 946072478, 100457046, 169509822, 13467830, 584068663, 392235932, 239454510, 403679684, 435641965, 461584752, 909469567, 775582869, 196885681, 629866707, 388550171, 172670362, 318140544, 380268617, 782499826, 696466947, 816213879, 902896323, 20079659, 29342698, 613436978, 20693325, 250735405, 310745242, 3353893, 694337601, 717407246, 880944813, 599799369, 669383452, 304066699, 604577967, 326740607, 404944348, 697721834, 440808658, 581584746, 397365361, 47579241, 309414350, 833812143, 302636640, 172390188, 872112511, 575914710, 831162131, 698051312, 22949753, 785587486, 31643859, 616660562, 582810953, 71821263, 581620677, 270273767, 852455731, 49273196, 724038376, 546665635, 847356882, 854426633, 624709050, 227519058, 606704103, 403561023, 636719235, 397884546, 130117130, 754396729, 899834678, 298242858, 362705477, 51144826, 735112731, 477609910, 907479131, 22467798, 250814610, 836553146, 105528222, 129350994, 245670049, 938445283, 896188584, 684758741, 170672606, 590654267, 852909970, 346782112, 697669411, 695451293, 212187734, 687975078, 277418562, 460452066, 478244391, 883377172, 735570549, 609327750, 721911133, 991518215, 390836158, 96713729, 207163383, 356941033, 901919528, 994154952, 340860253, 780269912, 604155342, 997899915, 806661683, 247368833, 246795439, 784924589, 879727963, 565763387, 448005580, 608691458, 658653970, 297312642, 561583232, 505625346, 484440771, 719883044, 29634863, 707412625, 281275386, 888872051, 624549590, 351800435, 183259790, 688889972, 466942713, 384460091, 452390939, 227110060, 689623803, 473900608, 250131661, 521918815, 616319148, 249419342, 356534311, 564640176, 676779585, 704963942, 418231242, 549553595, 299006552, 923863198, 193852416, 686250583, 221535266, 268430507, 357301115, 665362416, 146473269, 759852153, 172162872, 736018386, 838449085, 66004204, 891192167, 786307698, 769648622, 999588054, 412821103, 968362234, 98515912, 191726332, 223329202, 389410572, 192966055, 205597169, 527358375, 8262336, 669884635, 143098815, 832234999, 1483786, 777225002, 74277934, 1558641, 790373364, 271940266, 781824791, 460438690, 504001533, 910759765, 910660415, 661940815, 747366719, 892351003, 150901558, 149270089, 490770176, 122933572, 372867313, 628761306, 207037212, 3822517, 893890365, 334482285, 443779427, 683644816, 548362365, 222587541, 848754849, 227912924, 916709666, 407619599, 99515491, 990190472, 646046786, 640471507, 273327980, 313578681, 117056870, 582819445, 904218356, 225798770, 788351660, 622056127, 639558709, 13539901, 844858969, 357533386, 292020044, 493980712, 788755128, 197794208, 527738252, 380522422, 224969111, 302977041, 977977822, 332180242, 934432170, 167827132, 500492891, 249366552, 96410552, 746587089, 922414610, 911235137, 448278667, 784348332, 57416331, 593225491, 856399779, 842528640, 156186871, 620749373, 78785451, 774461370, 835217147, 421929220, 853129529, 319045001, 874370765, 344391903, 754294934, 201782612, 711098510, 392989540, 788634882, 707891680, 269800052, 326586889, 882435831, 242132414, 782071493, 157141033, 85776491, 417833560, 622130429, 66317624, 750682056, 854176874, 746567924, 696792547, 622793065, 227247326, 459887907, 936852761, 527729311, 368401290, 449300595, 203917648, 888173730, 555666812, 905370142, 587405853, 380815101, 53750786, 354060332, 487885518, 502120738, 107318466, 966452551, 899120774, 301147836, 158627599, 746668193, 449161010, 479922398, 26275448, 883714027, 188311446, 718268148, 693427355, 632497217, 380360804, 209656722, 610878926, 869291919, 136667829, 944516826, 548406991, 866707717, 687291201, 453965074, 730477913, 45752540, 70875801, 123969685, 529674065, 585797004, 567750099, 680991802, 846544733, 596044458, 825970617, 267836369, 393413684, 593324893, 468606398, 91117135, 972097509, 142542523, 103045253, 547657907, 790643050, 545913651, 30133631, 232411941, 513916303, 45300323, 519493285, 32579373, 237394487, 655995674, 331505993, 77683927, 542430814, 688616639, 936806911, 866477245, 251284127, 907902991, 689741382, 839654389, 537678996, 972862283, 796085401, 809960278, 417979261, 529429803, 383877936, 450792801, 282781426, 436432544, 303352449, 623330065, 299438017, 609738655, 808528303, 623407049, 577826572, 11327463, 458159990, 414771553, 525483863, 617747750, 201491013, 169519321, 248537923, 947381861, 652402786, 67911911, 351620329, 667810578, 10473782, 197214014, 106177589, 117048964, 586628712, 121257459, 182426924, 249930667, 21002122, 364082117, 108199469, 544209976, 174292284, 773121479, 42352401, 697424933, 279410098, 166232318, 656552762, 142353021, 189898692, 949611774, 306848993, 664630216, 168506352, 897855258, 833590386, 87559798, 521149754, 852612556, 909296165, 657375660, 495186784, 254689948, 644209034, 763387436, 355181267, 19320616, 979422779, 300292233, 344068642, 980375218, 105525376, 88253358, 939778701, 838942120, 610612867, 994816045, 105514711, 394207258, 326991288, 335869922, 85998738, 595242027, 303023149, 634528197, 89394285, 779515048, 208949946, 267055870, 938697586, 854614051, 185245003, 699594787, 598775692, 658825337, 679386898, 351877405, 731354577, 146834343, 99128962, 747507300, 318548288, 70151273, 913204432, 47405517, 505080720, 850017889, 681182903, 218124883, 42198316, 725729666, 221391719, 909433719, 514442062, 705164428, 424204630, 719454258, 216298730, 927457804, 376009698, 364690013, 794126718, 803333581, 212028580, 831608656, 553407929, 925766485, 100257577, 472292202, 245251761, 131666035, 603218638, 148273479, 12971044, 92621709, 354362202, 32081930, 62704975, 347653043, 317177199, 513447489, 886430424, 77043977, 119526735, 770366026, 346296225, 290572064, 938141588, 345477243, 45847431, 523057056, 17476776, 791543877, 344922729, 634486369, 304090301, 531291351, 988985927, 782371749, 575011352, 538911930, 799699871, 585997607, 206240830, 533809113, 360676008, 206118078, 560300272, 79479823, 611675573, 270958999, 523627039, 194816654, 916732536, 680149003, 473984670, 400921278, 939229953, 895007407, 935686466, 187452479, 850869117, 335870360, 291764299, 117118395, 478835661, 200575876, 200861258, 286759594, 610723415, 283682825, 410195261, 511572762, 693844702, 274037870, 215279426, 622633969, 939746069, 993145192, 895586520, 525124491, 985982765, 469141388, 389532774, 236671135, 818686599, 85547650, 25068300, 685334392, 133989866, 802813270, 144153439, 877668158, 693764835, 315430606, 482374564, 751180018, 533972397, 636480274, 859495173, 851384603, 671688909, 257677172, 748744846, 589301644, 573849378, 262631040, 593637835, 944376894, 368842327, 682616025, 393233711, 111713127, 254886180, 499556320, 827927588, 731808489, 242897958, 744384361, 113335117, 917552939, 471044691, 522236704, 599627797, 150692741, 456155692, 412722797, 549442671, 347107335, 390292152, 412919466, 438367551, 151425188, 92414080, 181599403, 656433497, 237913972, 56665766, 916704590, 878773471, 906306801, 721847904, 683297165, 528143122, 56348014, 370806584, 395779454, 238276771, 225917520, 443698934, 322257537, 133005297, 733083416, 352030484, 416417987, 31046177, 789610154, 143078289, 972144169, 519585422, 713773983, 743953909, 789468052, 579673103, 793077905, 561509525, 547511691, 593908937, 426791970, 304949014, 92605386, 311836787, 351572040, 416125165, 15472407, 735831411, 737020969, 498659090, 960977342, 285434549, 170962514, 594956944, 309926421, 674016021, 916315119, 29939701, 688865608, 426322789, 905395416, 397284131, 471742146, 296394215, 387697167, 505295992, 345166291, 477731925, 769333391, 96180846, 460853583, 234052321, 798098319, 849346879, 731258574, 429623658, 401958066, 71962849, 935393286, 935306780, 809304567, 507944616, 859484908, 286095697, 662967281, 85859510, 296579683, 993281324, 422814357, 33626861, 611097269, 572518423, 161063952, 160650037, 297723925, 250327663, 471902634, 926101990, 154045072, 780099016, 552910104, 804265347, 673658970, 778480557, 187521644, 870275979, 878530300, 777726947, 453108825, 961072409, 578291182, 36501843, 216442318, 821779412, 12635942, 349467917, 373418970, 925297933, 942637689, 365317250, 367852686, 49791316, 419923008, 811268382, 305959333, 936228679, 317854878, 743876490, 333509752, 935519233, 722300783, 32138366, 236289356, 411396024, 866498365, 25533157, 31403714, 921008884, 249715479, 221580585, 259604756, 785352734, 473300458, 211225496, 245946816, 878165324, 114587802, 894937202, 852051504, 653135057, 864154595, 293382658, 140584367, 214829093, 541484804, 636368738, 275908913, 630990221, 52287870, 135102029, 157684645, 551869617, 256866758, 867163657, 313571664, 230201671, 264659636, 365218866, 838051052, 361977820, 506668830, 958067380, 94215046, 394261684, 290131835, 201232719, 906987965, 490955060, 828745297, 325680669, 792873507, 491884312, 309420133, 368844860, 360275305, 82615682, 169824353, 438015288, 720404055, 22496448, 974401044, 399085001, 548353350, 764889531, 169949759, 573087189, 527679337, 536934990, 184154604, 947085119, 306214358, 835979189, 395101060, 672311951, 638748746, 346214892, 145910820, 419220379, 633452007, 82074997, 569742361, 843233207, 468175601, 836581049, 433826698, 238339172, 962079774, 172080233, 606581687, 452831506, 225247041, 696785545, 132485734, 335275890, 596403077, 235472522, 7311951, 51374839, 488429779, 345241863, 415525054, 80860917, 323782201, 944627672, 731920277, 554379450, 531284688, 835425170, 932370287, 740648950, 733268791, 878758718, 295272248, 430588860, 962686527, 765421094, 336808317, 806559711, 300462122, 169516450, 572985532, 928559132, 704134186, 138111481, 20596399, 2397533, 892867010, 971069636, 971323697, 391576882, 15306792, 866272869, 182721887, 460134764, 619704157, 732255009, 769073573, 172078313, 890065983, 446203991, 963161522, 435109120, 225052066, 56883933, 661502941, 805074765, 250239271, 585018648, 487906196, 881558834, 135670766, 337529928, 433594809, 398879773, 548362613, 285300625, 98432571, 158374060, 537034894, 805816233, 49044300, 124122579, 543925542, 585773748, 980897343, 898348949, 457553989, 922350488, 752938305, 708119865, 172528328, 471951795, 609034098, 989630209, 841727420, 271862097, 351706597, 256718269, 232614165, 670509500, 903185872, 982459788, 363350187, 970600865, 814171627, 357990800, 808504596, 531122928, 572208398, 518022365, 122547055, 124470049, 481557735, 769396486, 3495307, 103349173, 491768391, 104537750, 195536897, 602217169, 734622399, 106565302, 868728965, 341247443, 235533602, 383986358, 684989650, 851734868, 371465755, 672574893, 74163486, 504501605, 784942139, 736621646, 154109523, 508281373, 745708661, 803155514, 211936417, 713077183, 771442077, 685768328, 314937687, 794244951, 323349738, 283603904, 599564081, 525123408, 756461336, 162522900, 642476502, 28277410, 760492107, 380921533, 848381540, 573222682, 155204004, 871905629, 349765603, 229753852, 435579468, 942475017, 537401518, 664892757, 49097599, 979515817, 733596390, 291916738, 924533445, 5237515, 835901177, 198385216, 515236823, 192555486, 112070315, 632609485, 965585751, 28355587, 961248183, 16759605, 590769780, 713999165, 844686638, 560919609, 955981811, 826128466, 31136076, 763754777, 973511878, 314183718, 297409165, 434118760, 974092364, 834781362, 183120393, 733824595, 665460098, 80130820, 616392854, 611382187, 940138038, 826243756, 275228295, 665025095, 84795116, 142488551, 768655555, 619278626, 376307873, 770001805, 258571358, 967199493, 477627567, 604871755, 770956248, 346331922, 991286173, 514976182, 830629451, 956044352, 248850561, 440387509, 482276865, 602783791, 533059261, 221837307, 243283294, 798792589, 220381983, 305796150, 659097514, 857179223, 160169776, 562384655, 524380909, 29593579, 192403950, 458152320, 710712925, 544206001, 2189089, 843515265, 931146764, 468134614, 420807519, 854981143, 37322675, 601121046, 450634292, 621607298, 164396962, 662130050, 918427797, 767222412, 93498564, 286046994, 960351024, 445349969, 472744730, 567226357, 926401017, 130218543, 252744011, 142674459, 441669541, 22203417, 415433244, 807555956, 569271461, 319221987, 954967958, 749377940, 35584261, 31350250, 159355915, 388002186, 199182605, 724492140, 42898601, 377948317, 839718206, 780466903, 551324929, 378592251, 510179683, 141872831, 696800866, 637044321, 138831305, 724838741, 50681291, 641321803, 668999329, 83888322, 730985912, 402647325, 343110130, 187938311, 645739752, 642275207, 551049599, 36141837, 32033551, 131636805, 342801278, 192051462, 204043333, 302454997, 468686439, 421545508, 221590818, 975016376, 700155211, 15183851, 847118995, 673173803, 282824164, 973115914, 443666189, 987340313, 533526077, 125472168, 694143633, 161173970, 426497860, 715045458, 875176998, 218430033, 326657225, 644865309, 23933391, 167071016, 398223623, 449389961, 725517176, 128904936, 241319892, 49696880, 605030102, 32042374, 124249240, 692645923, 853223384, 162263594, 940540236, 909835584, 945664999, 46034178, 446675554, 514360176, 261262499, 165505131, 995566070, 836768339, 203852759, 324415270, 310159539, 694458590, 154373895, 212255971, 336434345, 303908698, 399332118, 135701511, 701081927, 428262038, 416121134, 2218658, 603925156, 122414996, 872572839, 713113718, 187728101, 163765542, 753641172, 885075064, 927388705, 288985921, 848642816, 443951843, 729206188, 882945987, 652814722, 976909454, 923538500, 695773511, 718966519, 954757456, 446476119, 760573933, 970398455, 941429085, 410347056, 364893492, 447306283, 179404217, 864039695, 519300250, 451583160, 760150404, 252545589, 427959888, 903556055, 5060832, 758978429, 13078736, 894393961, 886413421, 624665766, 529331765, 145441798, 423309500, 5701368, 494734368, 381487959, 926821008, 166128837, 157119093, 650945805, 262320858, 720653639, 13919612, 193906056, 141383686, 812764885, 134504427, 153452702, 779744098, 803848399, 371249709, 468612421, 909276166, 764916539, 460693708, 435203406, 969071140, 18112654, 576341769, 611312664, 721846682, 684390252, 993611079, 166118612, 690657594, 622002333, 100754341, 990659253, 25186307, 838338647, 262217242, 874525662, 366571802, 82199410, 268389854, 701461894, 124803758, 619268577, 695615062, 973053757, 984550390, 300512020, 792906532, 725021225, 213221716, 865494131, 164528207, 626659692, 710289451, 412492345, 799777047, 845554355, 383097634, 460923821, 78219324, 816697679, 442330272, 468101124, 719353050, 446670631, 661555455, 17933926, 490089616, 935480244, 92820514, 467853163, 317070516, 562951588, 777125215, 601329505, 466104218, 333510011, 891970822, 175348915, 48044660, 904657631, 830131672, 616396728, 650764363, 652412519, 501147544, 484521989, 619607066, 874257758, 14142788, 258778420, 134421995, 684650543, 995525689, 675726598, 699149849, 562090912, 256886552, 993136461, 209995554, 187900142, 359667358, 469366773, 928610905, 776757799, 880269748, 358732575, 793762438, 672760617, 346914643, 249295820, 698077454, 315429962, 194822823, 270560, 32065196, 193479561, 732149753, 968817337, 761883097, 830753, 946073030, 730397015, 831964041, 354793996, 959087495, 236418845, 568660035, 76201685, 564918274, 386928675, 349150986, 116505627, 457554331, 692203413, 291365098, 22519046, 15472805, 223507623, 100146284, 300694563, 829247071, 672021530, 945078586, 234683603, 26442681, 57268515, 492648311, 267817732, 762499214, 307340057, 266286106, 22789079, 105564697, 628267543, 380802673, 840694527, 383421605, 789351305, 742661675, 63982133, 250232067, 677301124, 963376201, 629571313, 581368651, 540139265, 315352492, 995731916, 652243234, 85860182, 911952530, 617270275, 457447134, 971435619, 375843644, 666288526, 121460229, 600592140, 143952232, 898468791, 923614341, 901705394, 220682387, 25238581, 652077558, 893364186, 721335697, 832488786, 299929164, 7048817, 808122349, 493831213, 770353336, 609455737, 81316157, 47707244, 201351344, 389040217, 317102773, 681938890, 173342253, 34405110, 648830192, 981323980, 515698953, 6372545, 665048853, 617199746, 478730093, 355610841, 298273073, 741419122, 709908993, 571790679, 355661072, 924843415, 586160294, 53228001, 147647409, 494488994, 31549834, 550954735, 264318373, 536313245, 401322785, 508119563, 615122054, 214915475, 531666473, 566996142, 515377467, 916359065, 522304736, 787386686, 909564698, 228765854, 116695588, 478852948, 473005300, 481356062, 348717616, 984063960, 14317413, 286773810, 366615, 19707164, 688542535, 321262801, 591153012, 918875252, 223927970, 59190891, 746177690, 527915232, 96171570, 590439468, 936420473, 520674289, 131791792, 899601970, 395891923, 654404096, 789444026, 604373936, 543551305, 844121449, 921104358, 731741792, 17253410, 999882469, 450934822, 239207533, 674360674, 563015352, 841757334, 189041483, 953373394, 722807309, 652680376, 496732536, 784995206, 137132942, 407272146, 831711854, 310245725, 732028082, 166962027, 125070710, 561094953, 728309579, 907767201, 151323696, 638055342, 129840896, 503873311, 414105261, 84435840, 331336178, 84108599, 304682092, 139621389, 468742216, 450355345, 842946636, 79244312, 94293806, 825039370, 804822231, 621202289, 198367794, 883859363, 572222452, 842336546, 761156656, 652938617, 527694132, 224785750, 970398563, 938226703, 326090918, 741104246, 174270617, 14628012, 163615293, 258692877, 813007055, 236982895, 206444232, 125737839, 145214723, 148140948, 567708674, 559262431, 598938337, 176656210, 346089052, 38517754, 246935917, 996714514, 716373486, 373631941, 109296952, 277380732, 9867536, 573803764, 994084059, 996296344, 444276926, 808475779, 613073958, 650153119, 380426480, 674645832, 641407710, 599796556, 579061117, 618187912, 921512391, 978205515, 765527425, 450412050, 918965883, 683879666, 91092704, 2060337, 973165258, 260370625, 970268658, 607779034, 921604218, 354228084, 255790563, 600977888, 543505576, 162761113, 659621584, 862427805, 48395682, 659608724, 515051598, 321131197, 795616390, 412024338, 182602409, 113725272, 577317006, 806389805, 706419690, 768788117, 716617876, 555245957, 626962554, 609898936, 585042482, 572481961, 662775524, 26152675, 775583272, 284551047, 805608448, 46601761, 435877133, 642608809, 225014936, 947351526, 674191420, 94210197, 661630841, 501895977, 589819651, 56061857, 591920205, 306335498, 235720179, 187996397, 109076676, 212258037, 18806379, 704921619, 29065513, 312245014, 460852442, 113347196, 348777197, 296894075, 954047397, 166816684, 976451957, 786001657, 382433029, 103159197, 999300705, 600062232, 767324743, 852658857, 27955141, 946093509, 571307419, 478419613, 69422873, 32791318, 504900661, 631976273, 458459298, 556288675, 830436046, 409469613, 633680916, 694853189, 234377872, 831941578, 307692878, 93417879, 437991293, 738566875, 29071738, 967752955, 345228424, 799466808, 486908939, 247079283, 332321175, 359442027, 818467117, 782532663, 985861204, 950448050, 942953796, 870979853, 168593535, 873019271, 943022554, 843553954, 450166857, 387015546, 563474530, 753992524, 496994008, 973012857, 330964207, 216826113, 808514236, 160913572, 563985531, 484514245, 181387609, 126392208, 658680021, 220474408, 247048587, 404744375, 125869550, 794243357, 330379701, 789365091, 937270256, 488452043, 178860235, 112572671, 770123010, 689369859, 494579646, 934655351, 654444005, 299942220, 354339838, 864670265, 869616167, 288397811, 879076025, 958726295, 920247464, 438009021, 377635852, 457329646, 180891798, 551936712, 754547525, 38700280, 424439215, 64218147, 773993782, 122170188, 156293912, 112753837, 108442117, 191980910, 124773611, 322228571, 417582531, 148906922, 593528441, 504597850, 442460132, 321169789, 10186217, 498967481, 132185195, 869232253, 55220946, 343517944, 100150656, 874898699, 818718240, 492391063, 937478415, 797735750, 981531107, 360110763, 997496965, 164700734, 437422135, 435714044, 555713332, 423260531, 523466755, 296687039, 901003093, 585359029, 996656965, 963849710, 185492948, 151472620, 858181987, 230733479, 593391210, 686680786, 592667522, 125666884, 530561946, 378864710, 725252877, 557674108, 467491194, 630581906, 685866809, 971681825, 703236088, 38175141, 13354206, 879630360, 500469866, 662703637, 6505129, 160694368, 707358224, 476605899, 274298675, 42032014, 968437477, 427251980, 369246364, 97233556, 509739248, 281690967, 535537297, 137596508, 756828402, 785510168, 489688367, 290147236, 616328296, 261951265, 29550469, 17164306, 294223944, 421680359, 482058167, 248984997, 515860609, 749347651, 863347129, 524198958, 284379674, 270125988, 315262257, 30308059, 335552859, 348041033, 147266523, 370007756, 922331939, 359728108, 829072467, 700259779, 472753930, 647117325, 597886929, 631911847, 751884093, 211146129, 246130219, 280370701, 220406260, 23599735, 688389490, 54601535, 869184516, 123853969, 891353789, 729129868, 455114276, 331417358, 107235494, 616292797, 202567167, 722053683, 17026864, 921951687, 379550553, 652214052, 784716637, 865145873, 555924123, 99729399, 547450891, 141630236, 265366331, 913621332, 740596852, 802453918, 293227861, 777061220, 275644209, 53013662, 659243083, 370686554, 550178825, 674325902, 746585199, 891043801, 229634964, 718833785, 531554473, 562018886, 650003074, 389516143, 723981737, 306577384, 797138857, 843159529, 60495958, 276007533, 274747970, 934860618, 297264474, 148423922, 410503489, 409776418, 288385786, 735392563, 847514490, 561809620, 795834628, 858394720, 540503720, 801566515, 420477314, 58582833, 384586716, 722603957, 990693488, 181655902, 608918611, 628265379, 741717925, 275043332, 915487751, 750538532, 446629638, 311708560, 903285376, 499891289, 376591808, 395533892, 49006501, 600765095, 427077902, 741301863, 332126846, 7895827, 894881512, 614524168, 15353313, 912826176, 568593747, 42297770, 644000572, 391335302, 880313573, 790265985, 533221853, 388419280, 744998837, 376307201, 343379415, 563973690, 235881475, 160385904, 799045291, 583921334, 717081597, 267094819, 996746242, 748753038, 38913665, 904533540, 905791671, 679199170, 543778983, 614208087, 553788239, 905011652, 525286002, 19772510, 441615032, 894373481, 951361320, 897959878, 344113971, 623528071, 469835084, 446104348, 543630107, 884827011, 829092398, 822504001, 782524695, 661238212, 906555986, 695220599, 402525621, 605874754, 833459458, 858710397, 628579473, 62693522, 574975796, 663299575, 900923391, 424744909, 517809985, 972417857, 161187141, 42458426, 168473300, 842844706, 799715602, 70935144, 373215513, 277453353, 846343474, 75503954, 613618491, 34807420, 713323123, 149515617, 26598624, 840877756, 626474967, 125714371, 515929801, 202908734, 314326717, 465234945, 295602001, 431272976, 93391274, 424645419, 455274020, 739989340, 516717877, 787740422, 475999874, 382872511, 464735890, 926129047, 355207206, 369760677, 558002190, 262163298, 430086295, 203554272, 520983080, 306518520, 726329248, 99640741, 285492629, 349943304, 775752325, 992866188, 97207011, 57299242, 998598988, 635711271, 763416184, 44656149, 163390108, 797855174, 695305361, 560243809, 179157315, 900190017, 953845994, 744799255, 649814180, 858592642, 249476167, 960317777, 349253487, 853003288, 243172703, 70458743, 807023161, 275930756, 368443496, 373115789, 407970033, 913083795, 789317019, 286122178, 441322471, 326415897, 405486483, 203995852, 600903593, 77100505, 786147360, 459903034, 474584720, 249084960, 3804547, 647981135, 74503689, 892895756, 749760613, 595012395, 256318116, 499032197, 968098591, 770320295, 760007083, 26849484, 770409054, 788684182, 880440369, 280706893, 461016767, 564237910, 973392124, 385659270, 652583441, 633931532, 189626842, 35337614, 608785619, 860278743, 30178449, 160783387, 603302242, 263556644, 568107144, 376562178, 964303469, 843004581, 77276115, 41244275, 929694283, 768122525, 402469877, 100600554, 951630171, 749427392, 977723268, 961905471, 125181640, 683234812, 876978079, 319051103, 314216376, 765210395, 99409402, 977335358, 228643244, 334470828, 881027766, 973854217, 518503526, 56526401, 376315483, 332477269, 590949227, 953996370, 728062481, 84764756, 336207609, 802005322, 605535537, 209438327, 857802365, 929955439, 478441381, 543475903, 207241610, 175088292, 130028661, 207546687, 241634137, 68260727, 355639175, 638650472, 328898557, 519092642, 37286917, 979764824, 745882537, 587966150, 697758397, 137629763, 212066470, 817832666, 639717282, 6357857, 94212857, 660052466, 171796015, 669714215, 210660829, 2044437, 869069584, 478139369, 321066807, 880154338, 834061329, 759616479, 23548247, 5172068, 599614816, 869266597, 269394785, 173262487, 334417599, 977517366, 630838251, 5192410, 793264665, 195534386, 567101510, 425764506, 728736936, 305960951, 796725237, 113248809, 649262628, 658287778, 135328977, 322625805, 552922573, 615922778, 923744383, 778221586, 725033066, 521285726, 884105989, 161535762, 753093267, 10312256, 426179691, 394872112, 259252858, 132563719, 146785274, 538561016, 135912688, 166948319, 872183439, 377116162, 637038155, 722504267, 421955892, 54261878, 374690273, 721221665, 848806401, 542707589, 27636530, 439232121, 54998719, 762110098, 131228296, 74606423, 722656332, 394330531, 35968402, 756010928, 797987807, 937013339, 732045205, 627435054, 968848943, 262942701, 866797727, 231936715, 115142366, 485794677, 341469061, 926416479, 626966140, 372881042, 108259309, 820940027, 599236400, 518091081, 355753007, 669431518, 71225844, 448389289, 183560522, 112806999, 914329366, 114699008, 848940086, 761392156, 360583348, 303794666, 15735626, 913144113, 847340076, 643982419, 350417398, 614673409, 702316442, 633023007, 264069491, 488132171, 101981640, 614999199, 998504717, 697650534, 32951143, 815591968, 983040712, 487424124, 827379026, 974278602, 347211296, 241092780, 66276998, 635873871, 718247728, 838659880, 117371352, 150349874, 22729099, 999265435, 961592630, 141434750, 959745671, 913412261, 725444217, 725871614, 970988777, 357966697, 413996919, 933504419, 535578924, 702360068, 775608700, 798756577, 932210019, 631181645, 42123917, 580341945, 459090480, 545096447, 500471616, 742301239, 500676739, 918250701, 861937408, 8280869, 639926834, 656185952, 561163726, 736323876, 507277165, 651666706, 281074016, 437181713, 948189449, 629982350, 186579761, 182453591, 772837696, 21585112, 18662620, 85708314, 863213229, 942777407, 289582393, 275613653, 73153973, 199050554, 778575806, 100848257, 299267636, 138664184, 58380279, 156407473, 811008534, 738864498, 565535313, 847979462, 243990363, 462176763, 47470630, 714911269, 518052990, 739199340, 811462171, 892763361, 926994665, 830055654, 749458370, 384326141, 167063871, 486970881, 528990087, 582449234, 720493175, 69040626, 199769815, 376541564, 570737090, 709910928, 781655745, 129254432, 435152478, 879133647, 748862042, 292922549, 754049270, 374622468, 937140144, 641874572, 540582450, 106467705, 464423930, 144197909, 619269359, 272323162, 65440667, 630113736, 877130843, 100224033, 472705006, 574935651, 441585831, 673440368, 720406916, 86182358, 707790620, 973604957, 871929702, 687504409, 277667190, 248413966, 81196684, 20036225, 435832959, 235781349, 319143872, 712403026, 182482729, 178597127, 917657598, 798732108, 930724816, 675858490, 285556424, 16284690, 860555597, 266862304, 855365897, 519634996, 227539515, 79958251, 221064119, 548463771, 162313483, 789262911, 880028850, 829245666, 960773735, 85178354, 749243297, 954810539, 983111419, 885457784, 323032775, 380164502, 546223482, 405159918, 696325217, 922387410, 279357074, 67387491, 126580273, 240803894, 638710421, 59490484, 283585228, 838799954, 241862971, 994659720, 323502749, 699300057, 366918356, 494727339, 1024681, 388277619, 747484210, 83616577, 769593534, 907067909, 62760932, 543825333, 880901277, 563001392, 100460915, 414154226, 282745336, 565682060, 635321750, 118299597, 597759801, 19889596, 43042958, 252100829, 311404069, 372771824, 758661218, 485544760, 663996948, 362440128, 444026297, 136780373, 376442843, 687414262, 664594787, 680420599, 117875129, 392569481, 332488239, 757949615, 681925457, 905492653, 280609200, 344219740, 157434544, 391064327, 418611297, 15755941, 822219247, 549602928, 641015850, 693095160, 257923416, 907260118, 523343607, 658059729, 350444051, 845394114, 69644221, 919554829, 538461120, 784523405, 993460647, 643365807, 619933079, 904180143, 792262657, 763969016, 445235545, 172714017, 203987133, 835494425, 6943654, 418420601, 516283366, 286437902, 775230428, 429955581, 359414909, 604317007, 44971019, 203911818, 463184002, 681839771, 243684114, 927102705, 268090772, 882401972, 477165818, 162004921, 401340496, 937816774, 244556256, 27431235, 752251367, 240273721, 71801001, 622439643, 895958220, 547884921, 692117173, 655351950, 382446893, 713967805, 956142661, 12597096, 726864219, 152098110, 649297589, 477932358, 366418538, 364509162, 454629907, 638384414, 705524845, 265642660, 291184178, 384856795, 398303390, 597833102, 640466525, 231011273, 838529434, 35418702, 844765019, 72763678, 422894784, 903584718, 427507133, 347922855, 656495467, 766618509, 361805703, 475545353, 488531214, 599609589, 305472999, 297064377, 593161933, 733619287, 167749290, 656300912, 527812076, 729427239, 651175038, 856840668, 886077269, 596789076, 602186572, 353774743, 175596176, 32898709, 550250194, 163051871, 548082146, 975803247, 704015217, 763413709, 476166265, 361463272, 935941909, 782410867, 164197608, 415075040, 746644402, 912222943, 884033559, 335395033, 129817968, 883803328, 261814408, 181745608, 173942592, 794380828, 958514213, 472041161, 533027824, 610650000, 80838522, 107805476, 513203870, 197600551, 838247769, 214463082, 330068127, 178707351, 875667251, 676601934, 539638424, 405589312, 579013248, 336277012, 890338651, 334536953, 759052267, 241601832, 133324125, 84521621, 586378603, 245442140, 820529434, 589738323, 666336143, 659548438, 549182076, 702940427, 906532988, 877542615, 336775413, 139824534, 774367420, 743734441, 643112670, 378428506, 911484539, 257865298, 28523855, 90563137, 732487786, 812154152, 885681848, 277288064, 735080496, 819510677, 599552368, 565844761, 197516557, 964974571, 206761206, 254786802, 111656708, 688082166, 127106272, 520682500, 10998749, 922304211, 318772816, 891103200, 7250144, 316276777, 953357416, 731365014, 115373675, 888961496, 269780044, 62009377, 54525210, 423956543, 764845318, 377753156, 709944970, 757549368, 371389093, 112542248, 802309757, 354180689, 910308264, 898861658, 104164436, 332310998, 879768239, 148384358, 869276119, 476857480, 423609118, 323130891, 816150689, 48948387, 586158466, 627028051, 270823037, 64202148, 130775948, 951650694, 860515850, 63724305, 567198025, 952893157, 5652813, 816611892, 772709698, 99850417, 737131893, 482048764, 718108736, 488065568, 763943650, 442413271, 405528809, 903687726, 532356596, 286199778, 359784070, 169860390, 897382605, 703431116, 560576068, 474289376, 66383975, 391618092, 819853316, 962693745, 731148239, 700566784, 113234750, 600906768, 11152377, 151966172, 997445506, 878214815, 943385219, 430025849, 534811567, 640539163, 617098204, 518944618, 574755527, 762810663, 385058712, 901167239, 859972170, 446978605, 935839343, 951326371, 716241883, 763576893, 282408570, 734330358, 852471763, 131141618, 621043402, 775298012, 609688584, 45033053, 774534917, 708269490, 398003900, 856421876, 537959975, 856394681, 512548399, 254383052, 688604107, 848932266, 844529508, 770908770, 221347721, 547104787, 814451709, 424062741, 430361380, 322808354, 629665142, 495331185, 638295734, 473054492, 3759407, 893173367, 604273846, 544750922, 262007758, 678585628, 612576231, 855981471, 904367380, 432074886, 326565578, 146318194, 129786947, 977241798, 352057925, 243776739, 183196659, 87982829, 733597206, 386320971, 995770082, 815630532, 856413075, 479942212, 291367612, 172526851, 359013372, 288363442, 41506582, 208740122, 842104349, 847089179, 312925971, 884773571, 327643864, 232034733, 609119837, 276284523, 164823052, 895983932, 130289088, 727145030, 55119274, 402362369, 61689409, 514512153, 526171655, 236329542, 99150039, 308034637, 32575637, 123102176, 770539916, 780399635, 838864777, 827309366, 238902699, 932737103, 441688292, 275118677, 220889654, 12262326, 518057800, 384044823, 945771671, 504151470, 303785273, 542678951, 161018490, 432971574, 762193646, 562971521, 707460493, 163133188, 517197231, 974382823, 648389296, 726138962, 683280263, 828474126, 537440692, 182201047, 550027420, 398410329, 639210330, 998791579, 790501947, 162938885, 344814228, 248730821, 680270246, 209266398, 978135715, 628616202, 155861357, 63346321, 573211563, 991520229, 719240673, 854074538, 44543058, 19838979, 198338550, 608332081, 617909526, 521968666, 975122232, 405806427, 850595463, 676397369, 201244222, 740138564, 34425404, 251516993, 355289598, 75929233, 395319685, 238423626, 612112850, 968175998, 994268020, 545132249, 880453590, 897492165, 541999679, 863220635, 281629870, 673757460, 248446919, 416769731, 814507328, 576033008, 139385176, 364848634, 509828150, 954731831, 19765277, 814222992, 579854984, 901438171, 691516188, 671461595, 756926586, 906590703, 882675528, 349252897, 563938360, 746242133, 960739993, 951927094, 248613442, 547359002, 951771783, 381561694, 415192127, 637439611, 754588237, 394282302, 496255210, 5698622, 994933195, 907694035, 973594873, 132972243, 484428358, 341754567, 401969810, 389891654, 692401913, 398749165, 642201226, 788787815, 693469651, 213818224, 848703806, 669865526, 817002932, 620790802, 621178361, 79921241, 292246655, 531276409, 63851981, 831544678, 31724463, 769271241, 140019214, 114444306, 270719928, 888284663, 658139657, 84674633, 910290933, 184906694, 621144015, 375356783, 250200207, 903142899, 486742375, 815664840, 924860499, 249473133, 447126146, 402262263, 158494528, 951075723, 402369309, 935739360, 302252169, 264303032, 306264765, 713195216, 909511516, 51542163, 764134472, 658880907, 91794972, 428410328, 616090065, 410124957, 853888549, 434113112, 655926463, 660971813, 61671738, 997962962, 661765829, 406879449, 440719067, 886385138, 928355130, 671344844, 285424056, 802308116, 617030581, 528752009, 55390350, 918529354, 618733972, 326398092, 28284861, 547675417, 214074341, 432170719, 390952069, 351741090, 26296748, 2673052, 694014516, 939907871, 820004542, 377476295, 871721159, 109601510, 662308225, 97020374, 883996416, 32878892, 603636652, 864672861, 543631259, 854845307, 913986810, 467607544, 270468442, 307683874, 631017134, 476188572, 946463352, 36678345, 965360754, 979835110, 257071893, 307998109, 512251967, 7396003, 477526692, 719334699, 258741376, 297284301, 190384272, 442954713, 986939577, 433662670, 637571738, 235354050, 920397333, 940004735, 925164120, 525665397, 540082402, 619069831, 693072720, 269134391, 883068466, 375159674, 235250888, 474537248, 492380181, 64810575, 960200631, 555035412, 639077177, 902359660, 228427736, 861917607, 933816759, 246992974, 117868675, 953526831, 832727574, 176791330, 94166204, 774586698, 863252000, 808846802, 210002673, 447770042, 695469409, 911321593, 160602700, 327364465, 936455648, 159184321, 288475381, 962645859, 266574850, 655494890, 535703975, 144299369, 266023458, 789976809, 503890316, 680203671, 139364015, 191721686, 136303482, 167890963, 385733298, 396973093, 715545432, 283419581, 403820989, 449881610, 508224619, 75042411, 115470705, 453024555, 84064004, 20904844, 529457355, 963783020, 703886942, 124543796, 201389325, 508971003, 89681260, 686259307, 510661876, 55966729, 98563160, 245938590, 359653537, 340866589, 29932285, 425929960, 657145626, 925923682, 202314685, 40196349, 438556220, 329178285, 336514401, 80331344, 112037042, 591593770, 723325844, 150521601, 268748844, 941604590, 685319323, 730969331, 191662397, 747874072, 584712626, 592284998, 811073002, 309901800, 487784316, 495397557, 342549, 517391480, 678012624, 700053136, 633299300, 575102495, 753113048, 490321246, 864922955, 234006069, 206424571, 166370377, 764339191, 963833550, 328197093, 527726385, 297481306, 632912262, 844063002, 489659517, 233332323, 745716264, 120465693, 64599939, 565186717, 49558498, 573250773, 551152778, 974350265, 493266784, 531183327, 706993856, 814713783, 180823112, 535218055, 158783478, 550771994, 863674501, 295922182, 812045430, 707996573, 508054161, 566243350, 191383862, 653252955, 646602194, 949034611, 694323867, 417958632, 504639167, 842839832, 880120414, 97196651, 29172659, 572560814, 362298722, 649535528, 968085477, 490451093, 486885312, 181035975, 976337549, 547139982, 337117495, 503150031, 447207361, 936428878, 451994772, 582801903, 266214091, 635636018, 790944012, 345248270, 12741962, 214919800, 53820100, 41039801, 422758675, 763194779, 438899082, 464178890, 418685789, 692307465, 109754932, 928211947, 842319900, 457713325, 407058802, 650592661, 81577063, 904111687, 107733459, 316226209, 467642459, 700214466, 359875716, 526383549, 885657892, 739879786, 533693685, 225702804, 56684377, 335648978, 834115450, 675173390, 323355127, 213027756, 342213032, 317303413, 599508382, 490635002, 214571991, 343461440, 248270546, 93225317, 840541484, 310288733, 258696141, 282684485, 301374384, 536414270, 379543679, 424287452, 891365780, 693093025, 875567783, 287458839, 808369820, 518837599, 779129224, 43555002, 464957442, 483246176, 176236615, 116493180, 677096772, 645590529, 788249982, 276112575, 591886897, 354554060, 337452726, 594553656, 353544897, 93095187, 643456065, 448008944, 668074971, 16469741, 566566119, 325510620, 887961604, 513855572, 665116931, 183537138, 354347506, 422683566, 475405138, 810563012, 332120407, 113846153, 355063817, 322886194, 89633227, 476510004, 229552630, 37330339, 89840177, 778656572, 397002822, 94849392, 485367025, 694110556, 992617187, 12224487, 238333290, 992811266, 91532536, 483736226, 180596510, 739263100, 27173345, 408703627, 125911928, 861707658, 909933249, 640871073, 718649191, 982093080, 695650104, 364255963, 587972631, 614725630, 659113614, 581891460, 167484911, 292827660, 701153967, 318799084, 655692538, 52505362, 972450197, 298359317, 968899185, 495797557, 461394395, 655070372, 38019002, 186209351, 123226904, 569655959, 839698507, 426793526, 120001674, 848351916, 405821506, 480391566, 56108455, 903297189, 761871428, 620921666, 53086403, 961706806, 697013924, 802968544, 86403102, 872084265, 396286794, 575144149, 273949336, 193530295, 496525995, 874955996, 773897489, 675185385, 721082033, 895630773, 894417600, 220925803, 427868089, 64837301, 485192178, 793988748, 449254835, 358706485, 486580399, 424217172, 635706223, 4477775, 577906432, 555689671, 435079780, 436649269, 253352805, 57146299, 911139477, 256958133, 574888866, 525536903, 530507181, 669548584, 832034351, 451992574, 846941128, 494354805, 617309410, 878072023, 369302250, 673969187, 227944978, 698974770, 564197780, 451460533, 35891183, 357138925, 894039299, 687040721, 739011001, 109340960, 204171232, 24470041, 375461076, 97196682, 689623442, 444955514, 612766067, 795003545, 219236470, 207306131, 608629542, 711786568, 692172424, 450940279, 943399972, 733098474, 108305534, 638927472, 2853788, 629484912, 631183135, 881045895, 264521970, 476875628, 315664685, 927815305, 840244324, 820409515, 220111397, 452781068, 566725857, 9046532, 77053593, 417307747, 60528746, 47980282, 969094810, 734039453, 686588444, 712645152, 579084236, 301852231, 84284376, 992391295, 173936729, 358698817, 559465136, 563989175, 839834779, 249276436, 285357626, 552524333, 55245200, 594761723, 377939522, 853274016, 630083652, 279059869, 511031468, 714894163, 906414892, 203828130, 383852761, 254628245, 606424538, 729864405, 459009821, 394219795, 914954096, 777334307, 292424255, 635270225, 400426787, 912680940, 868550215, 975694236, 225345746, 770787257, 429666221, 414083488, 976120147, 461114148, 518664708, 83378344, 321100666, 752176027, 84185176, 417829537, 616685422, 142298837, 376507489, 231831349, 256389089, 750251114, 497344155, 99737296, 785409928, 445599030, 391378411, 463709831, 943547204, 350424060, 98078702, 648220229, 977739439, 410295980, 21905264, 270807761, 155101687, 486650107, 414508567, 682891156, 491444743, 450438301, 396565874, 469387518, 942364311, 135027469, 297085866, 426610199, 4997814, 387654759, 386297650, 868341221, 97460259, 924991977, 443923791, 475943090, 437277219, 835412428, 180220632, 602503582, 679935369, 737289131, 581301413, 893319970, 990060056, 528583181, 283520577, 227653409, 788528774, 914711846, 534984893, 305561072, 258743325, 208881225, 763111794, 837963897, 795400588, 912682564, 711440561, 579732930, 738611475, 158395684, 188367775, 339899200, 271377262, 292146360, 710453664, 427125480, 24925201, 923055269, 520910261, 297253032, 769302660, 27265467, 357231129, 307238005, 515072349, 458156592, 339329086, 867209461, 507438067, 286882719, 512847335, 584614770, 51757485, 803903573, 153341653, 795780297, 384747884, 366442700, 686951938, 624505316, 936611077, 285544303, 483214906, 600606463, 891373053, 958598456, 305785506, 773577830, 14563262, 111792130, 655999038, 451356757, 491839318, 592122939, 699094223, 333286970, 651477571, 681952502, 435889236, 570648901, 921546237, 430392845, 686303269, 881101750, 977404297, 107414835, 864528906, 775178265, 692808137, 6729171, 916698534, 323378979, 124995529, 47455253, 265320042, 647731329, 782944569, 415726785, 598981059, 952068364, 45645819, 300773919, 445493956, 311457993, 352758057, 648111110, 955593906, 722863280, 360562123, 39504466, 69827274, 628550576, 282895426, 753905090, 566140057, 331269055, 122772696, 756422518, 129123994, 242031048, 793216161, 80180942, 47557061, 879173845, 711187195, 208458674, 998156779, 560146678, 502187485, 636399733, 557657361, 430011865, 844270555, 119557967, 480599326, 754138367, 132542186, 561072095, 583659347, 356367004, 901689683, 235139568, 805532957, 369317902, 315674688, 539263987, 552598102, 727227132, 681758860, 268387118, 740922567, 29655649, 447875151, 523405226, 426879137, 629213569, 225404966, 973957145, 3131649, 424747468, 792110986, 776632439, 158725263, 632443299, 321052689, 172977442, 383928916, 597021478, 605674309, 842521879, 109270910, 237990125, 283103895, 51478354, 516567175, 675950121, 474644165, 110706931, 101161479, 814855041, 328136184, 953984427, 460678248, 821486824, 521578752, 20893078, 842445597, 233110662, 536073882, 6070899, 491169338, 541791987, 953268955, 403568703, 166272985, 995507144, 245669355, 131836584, 143237404, 914783361, 428490420, 359013388, 763076357, 934794404, 851894616, 400615478, 575199947, 252570298, 143840147, 998842679, 129003058, 802300757, 953665068, 490687576, 30981485, 400652107, 320686927, 206088528, 135699127, 535210934, 789090753, 192722360, 123819993, 745904578, 950065808, 216337554, 863177543, 287556830, 179610429, 339373019, 900506148, 575211468, 906496551, 469928213, 912749664, 274044086, 222048557, 933476943, 121795040, 892948567, 306476338, 542454291, 165673214, 292313701, 618990545, 518742811, 780617024, 475490939, 388777352, 29664402, 211933264, 113782837, 86598788, 956608325, 769782407, 742819970, 413804262, 258996019, 655892344, 50889250, 423199319, 885818710, 469473075, 57288920, 464987397, 220016741, 429883616, 895420125, 791719362, 336119839, 953363924, 324661290, 961383344, 29302452, 316003978, 14502851, 691389979, 552753299, 255318302, 742906325, 13188593, 239626465, 500563830, 154979491, 622228645, 88528475, 883732367, 102230432, 371225343, 437314221, 322777771, 310265925, 575705030, 425779276, 37407570, 320350349, 675592983, 120139100, 336073721, 967362227, 479389477, 373576464, 214528105, 684809621, 73117252, 401728246, 628585838, 429562946, 691400077, 239461651, 33079510, 416929522, 307990346, 148355062, 385836862, 21993270, 323707395, 54230867, 412596911, 372979886, 43546425, 436452551, 598217416, 824073001, 771656973, 165006636, 197586302, 667042834, 334057196, 54960185, 985573913, 352255773, 366381544, 828736491, 315964124, 731340225, 597816192, 54173456, 307242489, 981869607, 529477538, 333543779, 678681776, 431986446, 957594935, 274522642, 715105238, 28794427, 65138256, 690066824, 453782254, 136173311, 804749072, 454073130, 118473747, 46643202, 224010865, 500031641, 698378436, 895636803, 715504516, 862777219, 270643697, 592770910, 528177380, 766582830, 701729619, 968109788, 682287803, 853035954, 840258912, 144811203, 150456104, 882087137, 768645428, 514332188, 235985524, 216547968, 866450876, 613073758, 405670890, 642175890, 675622064, 112551797, 764218449, 773474216, 106901256, 688242996, 651886495, 163678301, 202741736, 104273190, 553399159, 239455240, 677757781, 836169968, 899580888, 534633893, 455484195, 984037262, 860915549, 776324347, 314179479, 729847769, 895319746, 388116565, 607396109, 706585658, 210933250, 721296475, 938988935, 675925150, 27411417, 400129426, 175543931, 565538225, 411349380, 729076358, 205395768, 970043045, 216538015, 874914611, 159232198, 637960750, 92343346, 6125275, 339556520, 867185775, 903669597, 240849465, 378518641, 716811641, 137140376, 500286929, 116509627, 102396404, 953789441, 478043492, 349468572, 827078719, 650132045, 548386065, 249657928, 784289350, 883176065, 875473866, 511087971, 992808904, 902602910, 348186688, 489586165, 122216078, 217022904, 146886775, 535364013, 71667259, 936965629, 708139634, 773297905, 633253408, 597442270, 425404862, 737423214, 384278300, 487473963, 899086993, 982531550, 592740256, 737262357, 781015909, 290271428, 828133234, 211626672, 534344250, 306805002, 202048988, 567932300, 516249494, 460312738, 757281124, 588771802, 251938826, 496167204, 618220052, 433565981, 340154910, 75232983, 758184412, 495618854, 369834492, 627827911, 376876642, 593123918, 474041096, 401725121, 275413500, 451563092, 902170997, 240339154, 616834680, 443588292, 799057588, 536191819, 34009148, 613775575, 746886681, 722240601, 37772184, 765972055, 663959844, 696896982, 61379729, 276675257, 88233785, 292402912, 257465946, 239862616, 440377402, 63715394, 52404902, 294408353, 215618341, 183054356, 106784806, 837400649, 419876786, 99286146, 142745404, 382490913, 139390062, 354892006, 70651506, 246121556, 737308093, 239813908, 711253785, 666311777, 560776350, 212928408, 866454660, 696044611, 2386397, 823465128, 406493874, 737551456, 616100517, 27470896, 348397400, 328766985, 184823742, 93775102, 821164234, 942485202, 811473457, 244526795, 385315166, 172633639, 676495075, 688818973, 388784085, 461061939, 938448529, 655258841, 174208457, 436332946, 657400240, 54981356, 404583854, 412748284, 663464818, 732871469, 736298901, 219193599, 46259103, 289557552, 344594570, 404578656, 647824033, 790049869, 463404340, 764765397, 674085352, 105217376, 855703786, 11855461, 923245036, 644644321, 410518287, 621845606, 340544974, 95062463, 52787153, 780594757, 712241366, 427619624, 893032986, 682149446, 503870964, 406004068, 294550100, 934346071, 296310678, 362825530, 802791621, 418533905, 178001762, 913224370, 922326605, 175378482, 262134665, 682530977, 207979752, 996973816, 472767408, 998976339, 16861024, 987024620, 673834692, 399439172, 596692085, 652521442, 949657179, 33973541, 251392289, 188212130, 667242453, 421549362, 382898279, 569733545, 727561473, 397487683, 762806463, 711435264, 753501845, 746076791, 69601812, 510257390, 514519719, 180051536, 317091452, 213608677, 319291496, 181898947, 459640392, 1260826, 570243308, 670106523, 610077765, 361557740, 493450938, 809397559, 207329482, 502743920, 329817438, 211796127, 864415077, 850825798, 575765688, 225054518, 57236854, 444015186, 318381382, 318163333, 22866781, 58976866, 165719121, 371582920, 748308460, 272761519, 399649738, 338158841, 31759462, 514974992, 682757308, 801164990, 31712403, 786330217, 882478234, 343215355, 847390703, 106478433, 696097831, 137781359, 215306131, 536035612, 70301654, 28418496, 98422251, 177477857, 763525829, 724399276, 524161107, 945439952, 718285180, 904590532, 367484346, 178862069, 210981193, 133272729, 782829828, 779975948, 214082941, 905906800, 196735092, 97629186, 401998992, 1309135, 384495691, 87164178, 381524951, 747908229, 258613503, 857775094, 511528684, 529155034, 3892900, 236892050, 442061365, 734521449, 78687372, 354125273, 526388541, 41692542, 984642719, 774581516, 494317064, 547350126, 19123710, 28668667, 919392617, 415768241, 795092014, 221859952, 318476194, 767763050, 383711792, 248053793, 767953111, 678776616, 444295899, 238604791, 426653852, 635305334, 786463072, 969406340, 892890754, 419254193, 142386276, 742571975, 788142112, 144421321, 512684191, 292666379, 301968560, 470532311, 278627357, 807983453, 475754364, 632766953, 647670689, 4491528, 656977701, 47496963, 255040743, 977271273, 111199846, 677455132, 442130607, 139437520, 424242510, 181046351, 728666858, 122133193, 910629415, 183141283, 279640298, 608172145, 841857944, 686973783, 88067233, 519167458, 910920633, 57897382, 140788536, 382010048, 853053477, 929943141, 80619984, 553643205, 383716227, 897167410, 92838210, 89523673, 858121327, 806189957, 581510164, 918692397, 727764920, 141192989, 103057354, 416615187, 181052914, 386754223, 117283255, 116744352, 107876835, 142217033, 841565775, 693752787, 551172192, 338495693, 185057378, 720011062, 693028111, 813814167, 581516104, 838672758, 664026559, 361226798, 836210323, 149544411, 634203948, 903143800, 701236869, 874021604, 652868437, 419964383, 450438185, 306189946, 465132877, 256845149, 185496894, 247655037, 648621801, 785943410, 110058370, 607686725, 302930475, 242951700, 648814829, 466775753, 172626561, 522230370, 823959636, 669065160, 776533785, 610247571, 155600806, 610874345, 874257109, 490741397, 819928806, 294609210, 339870442, 712324637, 305617798, 298968660, 781174243, 478103255, 948648115, 666365048, 179723839, 979665869, 256856553, 162606996, 48696894, 321788711, 432609218, 727176980, 675769685, 764931003, 943587527, 159659281, 6454602, 51230891, 535837892, 762613317, 66616438, 459459743, 147258921, 80120588, 971179724, 990614681, 933426694, 169378120, 940226552, 171662375, 49009516, 667032069, 141368688, 211686499, 32338413, 715784474, 299696283, 164933582, 93188307, 577469153, 103301458, 664955202, 51871111, 933823576, 119570170, 730086066, 157270753, 518089592, 228469577, 677154030, 865893788, 418393504, 879193400, 609921150, 775778897, 70396072, 213992875, 670280246, 932929790, 867339999, 503231391, 723483926, 165778155, 885655461, 356115307, 711207330, 587949339, 107402201, 909424595, 621838503, 997099283, 806773023, 289567862, 773249799, 909858779, 945189338, 559637767, 28583803, 783455910, 939817811, 762386439, 986390722, 733684702, 83043709, 877762503, 767189930, 511853626, 206911864, 443358833, 310138825, 456865381, 358404987, 245365537, 857941315, 572549750, 377633627, 603974410, 179880331, 795842328, 389034700, 470890310, 897879736, 867420234, 179354450, 500695422, 919361384, 99066697, 783558979, 295688465, 50731484, 958099435, 603766474, 142873585, 561093144, 10847208, 24423881, 467551725, 866590130, 697376306, 157560541, 419727876, 599885327, 733899739, 820557908, 260973644, 492330736, 859575691, 153551715, 672540411, 905551537, 616352711, 44419232, 659751428, 386978154, 187257512, 817121937, 781910388, 321646635, 285721287, 524715662, 40607574, 511738450, 212605281, 527291341, 753557294, 417986221, 684551848, 572470467, 629213296, 392737450, 912038352, 78662453, 59768261, 452888036, 71881063, 235813254, 532081040, 303672179, 527081417, 566635268, 746077098, 411337006, 663455731, 234637655, 779011486, 647559656, 736685740, 307997276, 449164027, 876323182, 631850864, 211076751, 153459373, 727685260, 307532588, 127690912, 617386044, 109688540, 537460267, 266102822, 533340937, 171820835, 490430214, 391764478, 415224691, 335340431, 671662228, 346779629, 574377111, 291803367, 453652095, 714827064, 492617163, 500061606, 304313558, 140499516, 577419863, 31043163, 206933980, 828573784, 91846181, 983826216, 584191473, 803202312, 322601827, 167424048, 2096042, 667603483, 142146891, 328858242, 930779362, 304680931, 646749882, 637496618, 311705001, 244842714, 166433418, 894084424, 802708097, 590216807, 529963479, 232937427, 146764839, 860838922, 510905658, 874995555, 777591464, 356987957, 544699671, 403058554, 749148375, 227495545, 637849595, 896792696, 34423927, 227535910, 634224327, 982475882, 936318119, 626781025, 869759675, 303679757, 439774921, 88618577, 657113042, 238500436, 458566512, 172026435, 179615605, 617215193, 817952791, 310221542, 701897958, 386945664, 582446504, 544587236, 865957872, 693523376, 923629577, 749660376, 516430742, 110952710, 644496080, 44033681, 524499247, 228851361, 564774126, 410492701, 227772752, 280532345, 466869511, 701791839, 732060456, 427291437, 907642905, 239593063, 890225918, 65181351, 44790496, 498194442, 350420866, 565654900, 849339592, 115159004, 717812548, 849377671, 252442328, 682376521, 382530524, 62265902, 349581205, 242212392, 240025836, 620622866, 13011704, 673341543, 817784290, 99075486, 642668028, 813621723, 61884683, 613222565, 79836216, 860177088, 146641573, 484890808, 999595687, 907801570, 288948229, 206156742, 617044769, 950855812, 467721976, 764845221, 559345475, 350859832, 110492303, 292925234, 916811388, 970394913, 362409869, 703445858, 682368394, 254501015, 523796438, 326124648, 139073736, 440772350, 819098536, 656758845, 59740017, 59847804, 586103165, 190070548, 202460049, 422646247, 249542629, 689077318, 176916304, 773005945, 503739032, 211756959, 728282725, 903439614, 607993261, 996750646, 772747365, 318535162, 492718728, 821535469, 617315545, 970611660, 703314809, 278777079, 297654956, 405565379, 625892970, 517268242, 689253698, 954378328, 15500598, 534655258, 725198877, 317564931, 879592133, 395446070, 971703996, 145360328, 197639188, 95623455, 837029629, 197663461, 855103374, 850479560, 793249129, 912762378, 364650022, 174891476, 601233451, 262147166, 744097767, 138596866, 464278862, 863368134, 763382991, 926945942, 287059201, 38515433, 156211935, 299091210, 155618237, 961465663, 86877695, 101401229, 684628237, 960689870, 555511931, 224811864, 235119294, 394484931, 424030543, 486238472, 776983866, 487879294, 755999894, 358292525, 651724387, 586863005, 974925485, 328509708, 445730880, 575704914, 458864055, 819880377, 621208158, 770241378, 225739453, 929544022, 856074862, 255756381, 236576569, 347205385, 939852378, 719992411, 750365886, 656326352, 523852223, 739762587, 854833590, 231386604, 190599098, 100946815, 647535549, 783710939, 822113161, 963658082, 686559963, 544274683, 379595556, 331318565, 298261636, 419844821, 632229373, 186353687, 61969555, 35700984, 709192372, 443645976, 212005854, 435666616, 71371467, 597090820, 599043761, 365701165, 76614725, 529624623, 875546428, 633204518, 463785493, 235100547, 913535437, 121157369, 326249435, 457378619, 392009333, 881405508, 512033222, 541573674, 411389172, 111033103, 568033648, 135546543, 753494875, 362346880, 631372537, 383990903, 245792664, 556673021, 922450312, 792117178, 790231865, 493114913, 31718604, 85651179, 268759748, 239648044, 593030616, 830298563, 244754426, 631109101, 397216063, 64896776, 48760959, 239550911, 643525498, 47292571, 930386446, 656640743, 354112885, 99828003, 507327249, 831865333, 635655477, 585960508, 869365432, 15849435, 90255234, 399888327, 568108342, 549770633, 883937874, 478770524, 876586561, 213237848, 334869304, 525773424, 255227041, 375049744, 671586028, 100362885, 185916136, 994476550, 339595626, 700899131, 859804284, 524343004, 822349663, 759213601, 756901794, 111607908, 180801163, 355165655, 750314930, 557828276, 797896272, 369808155, 799170337, 902912131, 507294577, 279242753, 217696097, 439048676, 210351560, 640993739, 108409280, 884751268, 259241787, 497082039, 847427574, 488622848, 799326223, 774746729, 286907382, 839194872, 893523556, 68558333, 268040503, 345398771, 661143812, 481983019, 397598357, 14851905, 355984460, 777245739, 921121591, 577985740, 974383236, 881441670, 152720249, 708083188, 309248100, 313666447, 440322367, 465889527, 775512782, 169075792, 876180540, 820320285, 865008556, 924929810, 772013783, 649715678, 751577405, 155944303, 811114353, 320459190, 859098203, 267342918, 507370346, 419189773, 613287463, 501035965, 505344582, 530308775, 742656727, 287777102, 666375511, 347382105, 23619795, 368373197, 993802733, 826018715, 65570875, 985727416, 179391926, 599350221, 661732144, 674899949, 255738289, 134326644, 28233386, 383140068, 763428948, 523436104, 290337172, 331859719, 242761924, 815327029, 990712420, 288536865, 735168877, 724562935, 643366053, 613424758, 109468700, 205273889, 145547491, 41237257, 856039006, 698145743, 644570717, 162276548, 199244642, 280736094, 967846460, 64058055, 682364453, 950919946, 20757921, 760790909, 113613254, 569449431, 76500970, 675782708, 869827284, 812687712, 732203422, 759129752, 880702106, 877050919, 719465408, 712559585, 962860767, 423196149, 176520506, 810830294, 49355261, 77433615, 410630304, 465037790, 847434130, 147591492, 560644303, 370395701, 16763986, 819517872, 817295352, 953311248, 43939517, 649277166, 702455863, 76761818, 878595367, 716395107, 573124123, 503493125, 550559855, 60181377, 857416448, 573166242, 918201524, 447325883, 442424120, 858040618, 824822617, 736709316, 378247792, 331247023, 249333895, 348961621, 682840569, 34126502, 315700532, 72856849, 652810624, 662695314, 947654119, 892420703, 402734321, 973481297, 262645085, 901670079, 541369833, 781524862, 26287986, 847488235, 198506932, 756542168, 370540646, 90866626, 483428311, 755044935, 108660534, 670581529, 926586535, 253461644, 619838354, 722221975, 809142114, 710226723, 47801838, 48921733, 90289542, 585359222, 320841126, 959678946, 939928422, 415260132, 337139462, 778884017, 224999621, 5828161, 900130472, 747171630, 794726081, 378447249, 294773686, 512867789, 9273730, 450387647, 763864885, 80587959, 667725713, 822014127, 427072318, 863768187, 993261796, 679157876, 558856011, 224816823, 243350180, 412828452, 455492471, 806431699, 462747535, 38591367, 587570040, 825428805, 465856749, 459827856, 727915347, 87354187, 809716835, 25101241, 544602493, 318224914, 185851343, 882216779, 695197120, 388711205, 75664101, 677307818, 717934588, 542040860, 694102242, 825588608, 610350976, 167892085, 534065796, 408024754, 658132654, 369180727, 990904808, 334322104, 393648665, 774536392, 365547423, 662911796, 373977922, 238428683, 547340419, 787522244, 381847907, 148828060, 239365182, 900599044, 577241780, 666355672, 643514845, 104932402, 965227386, 627858291, 635100599, 710388632, 247094330, 144999007, 496165340, 75509098, 393807454, 489425162, 492335193, 373906443, 849679382, 978272287, 82736088, 697330226, 533745636, 624676015, 268060357, 259953855, 438424658, 21794482, 33054202, 861855384, 746464529, 396787019, 277967004, 827301024, 468583961, 817621180, 304518586, 584453155, 337661710, 70782571, 995277741, 844042172, 749043641, 177584711, 275638128, 820097884, 263141088, 963282371, 223003411, 460135221, 530262740, 729843152, 277998800, 441076884, 434746678, 627754166, 31746587, 355810291, 272881078, 238088808, 434244785, 440114008, 474891191, 278651577, 632522426, 90966191, 567574506, 835345810, 634067863, 89013316, 841054204, 300284974, 12610450, 54347857, 335295604, 955177984, 60477382, 738094173, 8511592, 267861202, 568977949, 782555886, 813391362, 622612687, 34989910, 900373451, 930477132, 744325536, 27312717, 110180198, 452631930, 625506622, 884880932, 669532860, 991636922, 864843772, 865989710, 302575388, 819427561, 39471331, 171181881, 963774660, 958808352, 559166975, 809704743, 406297510, 48113105, 10709460, 37010998, 808202679, 372122308, 18479159, 47009610, 414332774, 51326073, 484734100, 416589416, 805591882, 692526210, 813031245, 789646275, 892042591, 938671398, 732169101, 465388741, 543745275, 65133168, 62591848, 887854502, 965040958, 213207638, 659192885, 815769308, 643823515, 889420891, 138071985, 941365128, 176788381, 946379950, 16047902, 646476826, 379397383, 170442602, 771977719, 815374649, 323978153, 486775828, 760120380, 969888376, 771351304, 200034070, 975946002, 414607430, 696603478, 736815330, 631270672, 491285422, 672845324, 690727359, 575962458, 841257354, 938029154, 502302573, 47232312, 849863841, 97838212, 503280957, 836163247, 336434150, 670244886, 231896633, 930160990, 811628524, 455847351, 298023294, 310603334, 396591345, 114964124, 433665735, 191230677, 734323251, 825390858, 842163168, 635309758, 210995664, 171587067, 687015715, 111284748, 145450521, 395142051, 621308774, 934282032, 394444932, 947714979, 566851314, 331922541, 192902103, 35791284, 942480562, 722420988, 189556766, 132076627, 460104497, 774001110, 798699792, 346116223, 500916115, 475288466, 911097845, 406483956, 398658213, 940532410, 369806543, 607122474, 863056409, 776579987, 668633247, 173951958, 746416023, 852179098, 884037426, 41365597, 875984112, 981283089, 394440043, 110774421, 653138996, 915960716, 171668305, 29963977, 778895672, 869732510, 83802934, 457788176, 943793413, 278652132, 22547710, 632846888, 327104047, 61550435, 240639486, 809010043, 515833625, 219418196, 230817224, 661068976, 837693310, 105593796, 682402239, 252588509, 606700140, 450173431, 468254417, 478214465, 161762799, 333110613, 876218307, 640643801, 968597920, 492197706, 735661350, 960366346, 613691437, 228251188, 831508878, 117916025, 93533982, 890022696, 248091678, 488794655, 240425219, 229377606, 787858458, 337893355, 579380439, 135783476, 124602981, 378632906, 554130256, 306768669, 53783203, 248977175, 25765309, 273199936, 769878755, 381228679, 82585866, 13617401, 48870250, 623873106, 172152084, 794071683, 906878694, 596748018, 340145711, 51965141, 748805967, 29156173, 156147080, 466790759, 326076328, 750454984, 628749592, 805109512, 128600432, 87966224, 556839365, 714403006, 476090948, 325629474, 874923740, 754402904, 330451074, 840238478, 230906879, 121475924, 22965396, 318075684, 139188312, 134264620, 962145037, 810889333, 999664717, 495080238, 380901160, 14873888, 844091738, 12862184, 176619219, 358981385, 202898398, 314402497, 280053892, 918573112, 937847769, 146223422, 905932530, 254275309, 465507241, 583122162, 412243882, 535897676, 979382090, 188178283, 546805327, 980214939, 677814102, 805712305, 251127143, 873380065, 425051550, 929577324, 449732242, 414215658, 115044560, 209876386, 983409653, 157379717, 415835435, 182908938, 419398139, 171712634, 639996498, 779694343, 413640533, 719274956, 435572318, 916374460, 592004688, 746016066, 985593665, 183631920, 459183159, 684687028, 865211783, 363600925, 341962094, 437916009, 295570993, 926107576, 702417742, 332416185, 853882631, 696826478, 635460395, 919071685, 288646534, 579354045, 493160563, 703312815, 563978530, 362378436, 455059566, 302123239, 551908220, 581667454, 121575625, 677534337, 369133681, 97595996, 768201903, 400981769, 932529968, 677293794, 992633022, 650370266, 265148569, 859426669, 839354843, 307627803, 383460864, 195024268, 75746305, 788604383, 434760907, 209011696, 154469806, 288755805, 429675873, 590961118, 976458141, 517323041, 992718700, 252229161, 480217481, 22125964, 328789567, 611381297, 511464002, 450070164, 102743149, 84752319, 102244397, 909310761, 70008260, 726386628, 8930065, 809871151, 415585470, 934913727, 191958874, 323248104, 250978464, 828021491, 955543966, 806336125, 782671787, 814955936, 224400113, 740951951, 893960378, 963295724, 478265924, 187061102, 640161733, 516404532, 541058852, 107848943, 88114010, 903817202, 776233101, 99840255, 15608283, 823116246, 727334144, 776890412, 414235309, 284441588, 827200010, 8132541, 1889149, 313667458, 663189209, 731617268, 868620554, 553235324, 278789546, 104092994, 189171485, 992326918, 295901567, 979438423, 575050379, 253063158, 815363083, 123344178, 594457935, 914614830, 628643890, 968033151, 429977686, 575629983, 237016481, 420699111, 90897153, 989112663, 622833562, 497179019, 643348292, 802549704, 453581788, 189754165, 349378299, 571022588, 367795146, 599289419, 686045601, 580445975, 231810700, 67499522, 595151602, 833188096, 849750938, 298555496, 215346700, 761609014, 823593509, 705517136, 323903516, 527240214, 535306500, 580828105, 531704427, 168741436, 850727776, 331341569, 585529251, 170366334, 86885736, 673818317, 168381788, 652711355, 204457981, 520665726, 270132391, 766426995, 971752155, 507965075, 298505121, 690588185, 44893863, 932180021, 653891284, 369714035, 572055565, 345046505, 813294993, 788544867, 620600064, 733164805, 139100851, 966658376, 293486511, 525889037, 935850133, 299837452, 133328064, 38129194, 478473373, 35718017, 948656518, 650546962, 510618201, 440715660, 884081662, 315634878, 460559751, 366779061, 704891858, 794507884, 309268955, 509785984, 839508331, 348283666, 293135542, 604514839, 817973677, 714137296, 960947804, 46896418, 22815135, 614007247, 295215873, 6553938, 517592421, 542961791, 317706935, 845829861, 619555212, 464621881, 402428848, 69976301, 202046623, 564333294, 332875760, 14349164, 908217652, 114482922, 50644432, 218468915, 791072235, 448936181, 584102390, 174907776, 436932146, 194480567, 917050378, 134572969, 367556337, 244807059, 909384604, 368422838, 841274505, 702549276, 761429137, 215890965, 411155465, 721025600, 735862980, 770999425, 754033919, 870893538, 556338620, 278482083, 752619169, 444164650, 854908003, 598160708, 667743708, 729061515, 989516901, 825014768, 921826819, 799516822, 812762698, 214852986, 620461900, 869971667, 662550409, 577601286, 336553383, 839485361, 617432516, 827842993, 633417342, 354043727, 670684396, 63399594, 661221843, 175229187, 83227990, 650533811, 295058707, 796178499, 154628718, 873940848, 889669929, 772156321, 897849045, 31072958, 878202628, 350649092, 27219624, 181442155, 848564823, 489020160, 218236804, 883255437, 800860271, 525491312, 599127262, 902281259, 405505168, 42440692, 340349524, 601324565, 395325789, 68807301, 229902452, 872821805, 341466201, 16782445, 49039866, 960849375, 62863235, 591622128, 795029532, 739343348, 63929144, 276857275, 997366843, 83691421, 88778132, 941994078, 361866967, 423881130, 237844290, 678136033, 957956017, 611920934, 918376654, 904777732, 20643010, 701319938, 242547366, 614777907, 559886872, 381989125, 683007201, 54931969, 993550747, 625221727, 812857531, 83404540, 706248888, 760983237, 974612160, 500892444, 723762396, 393866907, 337348882, 955323514, 999887525, 140610140, 420939709, 801493926, 136797408, 547288414, 734862798, 985868293, 886074080, 86804592, 410548738, 792420786, 114031742, 719713081, 757688703, 475701821, 368000951, 581600583, 76427658, 955542578, 505260987, 572679556, 1880081, 955556056, 625376097, 357894472, 100083258, 361606809, 281049806, 385207071, 473386094, 485047466, 155065676, 458386627, 295315776, 230675754, 949889955, 76786339, 714091557, 851411350, 157778460, 246714929, 190238933, 705872446, 678418043, 875475253, 948466698, 841658047, 993921990, 143555326, 389150691, 332877812, 18852856, 412433860, 967299083, 44750778, 441158818, 682124971, 323863273, 411541626, 597871306, 149789263, 56592961, 457347271, 361838030, 597095221, 911072886, 943395909, 595285032, 15750916, 208770221, 379118132, 137618471, 326374187, 997899394, 247680269, 269959485, 787599564, 562933582, 959437074, 570072262, 716316951, 582905787, 260564454, 356738771, 233006062, 443432538, 555501732, 316270890, 458239566, 703141615, 352860678, 531494454, 694035889, 688264144, 707904865, 971067318, 506658965, 140225879, 563967039, 382010243, 27977662, 42080293, 46642449, 143270409, 494175467, 93526500, 662947735, 912026465, 807241989, 347369665, 642981916, 989785125, 652421633, 775846074, 865164585, 500349694, 104237840, 91353990, 36012196, 147126290, 65277588, 655913818, 350265093, 311685281, 585786496, 414146170, 963762506, 686782687, 870675617, 774684683, 217113329, 668055898, 567630772, 917569731, 93711244, 640135174, 978819037, 408094212, 426149422, 967013731, 740091464, 269010180, 938934236, 800711052, 315738085, 895349402, 575618809, 202123651, 810145307, 312032375, 613818651, 343931181, 399766007, 956253314, 187301877, 784577875, 570297697, 294458739, 188845270, 645898151, 741508067, 994600469, 21782098, 580005946, 980804918, 643865319, 801837394, 564809058, 81157706, 585254458, 459675257, 223000974, 742580424, 765034978, 744955354, 951826943, 749408749, 813941756, 191975918, 488962071, 8575810, 567578883, 678698983, 147537963, 145693312, 71319377, 100585756, 126139422, 150491861, 868090359, 281864217, 746107900, 704423641, 650130288, 721724918, 498108211, 259540353, 528022336, 22497318, 37906951, 778244897, 303663049, 898906997, 249538581, 563920856, 121627774, 476030136, 50148918, 618722700, 574042139, 389349113, 71006430, 116703301, 568998388, 884217382, 278715399, 932335224, 275233138, 852181515, 583431310, 602060669, 166493373, 277012698, 805021754, 721232478, 555316115, 813125580, 402050049, 217839946, 906029111, 415074046, 446585827, 586970903, 573219164, 661332828, 66525060, 687233014, 932110565, 438159, 572057460, 157768071, 715950248, 507845526, 627453463, 883032957, 504393184, 197050393, 891718758, 194165892, 432186948, 733280707, 404068614, 1709172, 860764399, 5148366, 724848856, 734607491, 677215036, 322677671, 143301455, 90068959, 641733304, 807403052, 398857762, 624219676, 796029024, 208134324, 582333135, 590090010, 896222722, 994323405, 275101997, 868055698, 199216492, 152714980, 944940648, 752500951, 176024901, 261127988, 361100049, 176721081, 344531376, 72866967, 59296316, 988325511, 91347430, 433535541, 869624796, 497005482, 62165488, 213090133, 127742951, 527632049, 50538673, 910700888, 649340341, 945618343, 525949178, 919305152, 551879330, 492339898, 368291375, 113453513, 629845817, 258737092, 72015780, 813048674, 384847827, 23396161, 985045371, 846730716, 377279147, 262696200, 290861828, 602716889, 604686755, 736329737, 717607998, 973522918, 281881968, 716734203, 105866459, 839198353, 81672533, 570282821, 805430656, 325037959, 14187227, 636356941, 939909676, 295049569, 438595025, 199027317, 126128725, 510159863, 312386971, 257783723, 33732381, 805850386, 573626254, 203776569, 909440655, 973242220, 870969879, 280282376, 576880465, 376119086, 607126586, 54262542, 785085271, 671710792, 308168229, 699380014, 626675748, 996569460, 893021990, 973709731, 493491601, 159451285, 162121314, 143065036, 464106217, 259770187, 959788837, 679426080, 788593101, 521865319, 462017685, 639349137, 644025213, 10841013, 925722184, 395650458, 107482552, 205016125, 973498906, 781451695, 165640182, 324843967, 924438777, 183684052, 587627572, 246648644, 576881121, 79248821, 192340389, 779505505, 737282734, 960934187, 181418593, 832800321, 391633124, 596178494, 309331068, 246865783, 932125576, 927623955, 667262585, 1935841, 456825319, 192409714, 110998672, 245940518, 443528644, 681480540, 598964852, 370996190, 272786700, 58925569, 688634194, 812216049, 532014023, 942529502, 240922132, 137107567, 173879911, 690740091, 145897827, 987647783, 435726355, 132149188, 804474410, 419656634, 898808858, 320209035, 821279425, 240594847, 444091537, 159295033, 350917217, 723692159, 918636128, 690419236, 353652549, 519620739, 807114831, 757392663, 196080064, 544606576, 126515777, 465990018, 304474011, 388560024, 553316265, 78027007, 459795656, 252604593, 569992563, 465238944, 853333860, 193158107, 212910653, 885692515, 504832220, 106743877, 889581021, 364480740, 3996190, 458682497, 376144421, 807686633, 469566097, 632641717, 590175602, 324135810, 121245160, 918570161, 229411798, 577782715, 983851497, 755405130, 630252776, 12762252, 390752330, 168384363, 812946448, 558129043, 622407966, 148773249, 69918728, 524456702, 146833132, 819322093, 170734357, 311386339, 390524893, 678097498, 859895242, 149416892, 36353569, 398487397, 636028455, 461815336, 784322596, 613049692, 727065957, 62155657, 871366035, 580729855, 221007468, 376468400, 828508807, 30924235, 251558176, 731288469, 694781288, 73575474, 193301905, 598982886, 565993529, 318918372, 486052832, 135326268, 633413403, 814663261, 230272333, 920355688, 460187934, 185961359, 321577692, 21440156, 111500140, 37925321, 781545171, 576631925, 109973668, 536320995, 22991234, 777735744, 503260722, 362489484, 129486993, 438981907, 493588937, 628752524, 243774361, 62233331, 957934411, 178400013, 997910131, 924233089, 6483827, 387132442, 706170500, 296965348, 941686106, 774729626, 505767628, 672896118, 537684855, 512534858, 258578604, 538505609, 906187124, 218675954, 575185832, 756832772, 671679194, 285244713, 416762208, 742588745, 707485219, 410995085, 16294995, 639014325, 709768977, 987952736, 30573038, 691502938, 232605205, 648337369, 128192503, 929754459, 74437226, 316256119, 252282840, 659007314, 752308051, 941171282, 253174528, 464557180, 274505891, 345749670, 290786504, 651057404, 651129293, 84456330, 606604760, 44245741, 83004648, 149714901, 212252324, 23778305, 431830116, 91657540, 946206470, 954467713, 873042990, 715112730, 759646576, 841550970, 809286308, 228681604, 275804629, 478733442, 735192797, 657912376, 319694632, 225719301, 792653703, 638504206, 14297761, 793634122, 999856267, 7295995, 806441945, 752093076, 336579929, 688390144, 418641422, 722039112, 801301997, 971963094, 414506591, 521653166, 184661365, 154274462, 143616134, 116437389, 649754795, 355110959, 2336542, 512729787, 530223661, 536755995, 773648073, 463228243, 626516806, 717320137, 787020568, 389407301, 444480506, 814241993, 987824013, 854698579, 760319849, 831379428, 515023388, 426910952, 277410256, 386639791, 61762587, 861858869, 980406759, 807273305, 694295377, 744678716, 636884098, 684485816, 578253501, 161734734, 237612955, 256495268, 310007263, 762669279, 31158012, 974624785, 20335412, 526839655, 73937357, 177108889, 287756333, 793705499, 597664209, 691673205, 197594617, 462833046, 320413248, 340360621, 230961078, 464616329, 766510947, 769414221, 569201388, 736161203, 900139588, 958139010, 888177993, 525240454, 229181186, 592276588, 363943864, 316162159, 683931078, 346002519, 370905085, 199950519, 944452918, 786885740, 415684506, 145763796, 191112048, 676409251, 337693099, 283690484, 16860168, 608170365, 985843515, 485053591, 148815573, 644965945, 512367112, 620707801, 593330275, 146627513, 134444288, 686678858, 62044510, 666205908, 958236429, 41813797, 492003065, 424357713, 906671434, 746858007, 55437609, 445560292, 709702398, 74662063, 191868486, 889088930, 545752488, 506046187, 669999823, 202678655, 57770031, 730789328, 723877858, 237151232, 537466581, 14890076, 913492945, 526567672, 978781191, 28731026, 256739534, 832077002, 706988456, 654643834, 124196213, 617960730, 783859637, 925202917, 259631387, 866529567, 736091111, 185807404, 485144014, 58240898, 521997172, 96345976, 875687815, 452905811, 692339728, 1771392, 306519447, 273341419, 874438585, 471810764, 537304038, 266473462, 585984650, 613506419, 512757869, 241809614, 421696409, 324906227, 587524199, 141781920, 160374296, 160160619, 308425831, 26382883, 602287959, 235907456, 868698634, 127562550, 168180296, 390659128, 155719244, 225084612, 543438055, 767575402, 604074972, 216167916, 942169591, 174410045, 61258936, 687834747, 303028272, 671719175, 281520829, 535122722, 418069513, 467795411, 836074608, 932508796, 614831178, 638773558, 895154567, 298796357, 622102451, 88026062, 64351753, 571786206, 368723945, 749972366, 804193204, 33913062, 513492667, 653923765, 793019029, 680271540, 84130108, 187814673, 345529235, 486224776, 68731105, 534140844, 93253577, 350076926, 837609825, 594168797, 355100458, 330673214, 568533015, 297150888, 908244979, 285042117, 848918537, 190453671, 350886286, 136752253, 727367905, 848029823, 634862148, 892317080, 464019027, 500164973, 834681333, 732794144, 763293064, 722790909, 59178612, 165797595, 408452116, 130127591, 200712973, 642207046, 872838913, 494083354, 776866346, 181431839, 617175622, 400063647, 968376480, 509540086, 83677139, 458022179, 484906370, 653969303, 914071878, 133779426, 908347670, 157763730, 336848052, 118493809, 769251885, 712149232, 730857150, 390060997, 414844005, 897182622, 509721337, 378800592, 500861772, 438177011, 46143200, 925185854, 649832118, 248885133, 159952500, 737986818, 594191365, 505426825, 898318960, 536327995, 789402176, 581792550, 332124362, 613778045, 266511109, 412227397, 601296740, 589656655, 219824325, 240955817, 991811079, 566556091, 448157401, 254373426, 959457873, 524632311, 325831673, 346989868, 488127763, 976362851, 441426880, 373684292, 517657835, 697642739, 376149252, 664769264, 213623883, 883137710, 552871739, 586310270, 565728301, 805888194, 538524453, 888855094, 788923625, 250342251, 15554433, 465127779, 871284977, 480705394, 842158178, 671177222, 516751731, 373904364, 311402506, 780863322, 458951854, 971987421, 453400163, 146258295, 254512205, 370801995, 755632722, 755268142, 774311182, 566118035, 519831301, 822280599, 75265589, 845306049, 255676800, 556185937, 612223842, 588132955, 690155632, 150153575, 27365200, 315501983, 725494863, 59688761, 600731531, 692738880, 802134567, 391695295, 172204672, 475920284, 827798885, 409626969, 715158804, 149377727, 331701974, 597707005, 5247636, 702756760, 519366914, 668375974, 182611525, 948871606, 976018906, 967624984, 689576711, 457036964, 89951903, 823169773, 132151349, 743808207, 191836130, 532602795, 90224748, 599485015, 124676649, 278875244, 599353127, 870196732, 908953516, 202409704, 312286198, 420904776, 359559687, 205815286, 444560053, 549239063, 147397210, 17841422, 218889978, 842416015, 497001114, 723684238, 95982422, 8354017, 514857908, 636479688, 612469165, 692897717, 365339805, 360766864, 267620755, 734619844, 735559411, 410579136, 249729923, 175592664, 889901648, 472999620, 851916723, 721417037, 389429806, 54701227, 829194423, 742634766, 612228605, 298022503, 634934126, 582026413, 234059157, 49143156, 454945832, 382010785, 429387857, 230909354, 655987640, 327249246, 540871731, 985921911, 253140794, 920993632, 613281847, 576507344, 352689696, 160461992, 889968354, 487757697, 612247143, 390425795, 641629984, 600053079, 673930306, 410703647, 788728718, 524537597, 247649967, 707337496, 174862991, 263042568, 877392734, 921069759, 529346212, 798915350, 905481733, 332237332, 41367280, 734154323, 788562583, 416605508, 589307751, 661464935, 890557166, 4511581, 182285219, 411477560, 464238404, 375885763, 710261732, 438379274, 213379163, 840697802, 298464897, 583244265, 856923728, 607586512, 203371691, 63326311, 314013626, 868707774, 952768120, 381495488, 227485859, 753066815, 877136745, 24527367, 310793455, 156643423, 81496687, 771116326, 492208002, 513928635, 364780306, 798371846, 366701245, 539502986, 324952141, 194318502, 810024194, 394688006, 862002165, 791724752, 488094998, 4829209, 887703245, 134001726, 213105485, 304472952, 365448652, 821397809, 243153278, 890320934, 719790091, 295124973, 348698912, 97616234, 830926388, 870288045, 601695075, 944298204, 2838524, 58908133, 306986918, 996958935, 265965394, 835917535, 87053197, 360689714, 873550770, 98244563, 981073979, 701178289, 775269899, 461170862, 776601819, 836875644, 84501465, 719309232, 332997101, 611187862, 137713876, 206373938, 850807769, 178821812, 264356103, 98756345, 131557329, 433256711, 312645399, 80722125, 279563077, 576283301, 618776306, 648932114, 183614756, 571400002, 322743438, 402602329, 502626556, 86139102, 16161485, 133570512, 855547929, 631143158, 725692022, 212656733, 739997988, 875671298, 961845591, 906236791, 97475956, 519962358, 221492850, 39077844, 119927089, 484980968, 880102060, 526694905, 127415747, 897990930, 501479682, 27108898, 207915205, 282188993, 846864650, 445028351, 377473055, 891656144, 468587632, 817853499, 964649186, 83106895, 610305391, 71153501, 922296616, 631101094, 651190324, 190683674, 995320864, 739628743, 705201714, 379940709, 92103366, 360756610, 417820404, 516340298, 812084621, 450320941, 958094100, 426293261, 989640267, 518635420, 344699896, 217447693, 364745159, 823806256, 514192650, 599952515, 179181541, 839878930, 189673100, 10138778, 464349919, 238118280, 544098974, 161076383, 608530744, 988766717, 787230487, 187568018, 788824346, 592357387, 870697567, 326890649, 203257174, 840256502, 420949778, 65366324, 18726784, 538326910, 127679756, 121538426, 676906267, 152545856, 730434149, 673412366, 229439742, 340784897, 836369040, 444345334, 414677870, 561864495, 750548128, 45609383, 41785322, 937259288, 844234060, 55150590, 334392896, 730783083, 295413139, 102335884, 207855526, 264925758, 649663928, 479669231, 518615215, 176023566, 402360127, 548716438, 419252197, 127926036, 725260335, 860197855, 382857026, 19639238, 875856319, 930779118, 556414216, 294932608, 767699470, 715449833, 947883629, 779601017, 980240690, 655549797, 204653543, 584282038, 100641757, 173763809, 715456322, 397364756, 184826948, 285014919, 193382889, 857400879, 403905887, 652621619, 933204725, 497984193, 375444510, 773673722, 571061782, 639583485, 81699934, 95135494, 535660654, 867799407, 899579264, 277731882, 891329600, 932191948, 78492934, 845151810, 155779450, 196877912, 724512259, 832356582, 738508195, 277214997, 64245370, 183583929, 33876711, 587429397, 821827741, 459688744, 536406323, 281989382, 26579463, 902706730, 767072482, 163220933, 366291606, 77350376, 371376936, 684407032, 92393654, 882910882, 959733119, 964108314, 129151454, 120526849, 864344647, 597559025, 2325089, 528440978, 405090366, 698506819, 508913741, 880615144, 560685357, 447772076, 841567562, 528725059, 865560795, 359553110, 56021873, 225357088, 140291257, 66847947, 582490779, 63002829, 271735944, 514623948, 519994549, 894584907, 231692245, 518207131, 889452865, 148612524, 856397488, 556795537, 973110387, 270452570, 27763201, 918759212, 485407663, 537493362, 920441521, 927490951, 371545223, 840692055, 492771006, 803319982, 161983317, 571360634, 673468603, 736500827, 19252079, 99448104, 855213456, 684564928, 208908833, 169054256, 309713554, 936524882, 936306717, 173402544, 802764769, 684710843, 55940702, 990981232, 14743186, 23804486, 499858268, 57658474, 333827928, 557042438, 957177321, 765709101, 64625784, 847048000, 816237086, 302287655, 885824095, 896512056, 323788104, 36801912, 365999286, 745809261, 295286055, 371469877, 655138859, 181136929, 410408326, 754072177, 892759739, 9258495, 507025679, 729219919, 238162985, 974515700, 636349799, 36516011, 35342115, 500263894, 461161449, 139617791, 998678857, 337309190, 337207014, 8936616, 251149063, 442499058, 441474055, 85232778, 820300485, 729749047, 94376453, 125392103, 425927842, 93901954, 176269209, 415651264, 250430247, 122995152, 327453157, 252353904, 717465821, 627284531, 878329112, 83803592, 94168037, 938606031, 353051810, 543473928, 725664113, 205119137, 461206966, 456061460, 375712170, 670920333, 403768884, 608547114, 467454605, 113911885, 647829358, 69553203, 399929076, 977306098, 879676986, 29663927, 880786007, 713338776, 129252590, 2343793, 138156540, 521683851, 489163101, 894693981, 535880491, 429176001, 864551759, 559788534, 256521528, 972789700, 981526272, 667176545, 499093633, 130483252, 610365345, 666603083, 884360963, 673800212, 653891098, 435858848, 214693735, 249857604, 41880834, 854961773, 425792374, 263744462, 69883056, 864997978, 235915575, 874596987, 549091674, 73304342, 480723689, 934868056, 700955024, 842975461, 656222499, 489448846, 651538463, 610823701, 111129487, 930800426, 690327670, 471745287, 787206015, 171428460, 276035870, 823029622, 309923914, 910562892, 214198661, 194327125, 395743316, 294379922, 520906223, 41032589, 98218936, 183741072, 692202828, 404112154, 361639487, 919320628, 402439405, 440721501, 903573892, 998817898, 931605854, 583214122, 235966550, 703982598, 692249827, 451466118, 19361831, 423975098, 244150373, 898341039, 225080841, 443372008, 5717787, 39866530, 805269137, 445693501, 379876676, 919449617, 992499986, 173441897, 903387139, 839815970, 714931906, 928994965, 72628924, 640827115, 402479941, 260679674, 45393352, 724852247, 373421945, 895245659, 668790237, 476946160, 576595537, 618347943, 51402887, 223027424, 821775490, 618786999, 39343872, 388046565, 587697251, 82791816, 226139118, 710467798, 720339492, 72871237, 256676182, 923763350, 970788003, 593769184, 619722326, 85928439, 986679131, 343631991, 523991643, 282431765, 491777352, 856026124, 689182188, 712075240, 909245841, 407715189, 543192090, 195174081, 358921289, 256344001, 848282376, 704523246, 839970445, 435693776, 131523028, 47099300, 377334804, 13188979, 374952454, 696557433, 660665833, 810875565, 706024573, 125603141, 260320524, 456905514, 649860205, 63730584, 499317530, 579584292, 310610305, 675344924, 29875350, 518513977, 489775140, 343736924, 398112995, 417612318, 670960891, 352924219, 536346597, 723176813, 581803731, 95290714, 443898974, 932443991, 606593824, 589070057, 12883098, 9997912, 969976834, 591834126, 539952778, 635371460, 552595130, 938250591, 157858650, 877926464, 704961236, 600713088, 249359122, 347269494, 357328560, 630070548, 585674060, 93181009, 305052703, 480386090, 312226164, 150983080, 213256738, 663406884, 13250122, 748409109, 223313651, 835224313, 509733495, 533432454, 904453904, 287208613, 652021505, 127689201, 902488867, 796208028, 901661034, 451022754, 640528916, 869093012, 677023367, 376311315, 289612822, 699644561, 587632458, 880794543, 570372608, 842345585, 433269712, 75391473, 154370509, 977954268, 259749715, 329605221, 54975581, 979949685, 962681629, 722931629, 698990709, 659803294, 410876451, 236991610, 286108964, 988015968, 579263550, 600198469, 352233925, 619791351, 809497313, 723268530, 667205986, 505574561, 422395968, 473678343, 2618772, 111496407, 898333899, 938645154, 722728083, 88617753, 358866608, 174356375, 523359374, 682314968, 812736650, 382136656, 835251463, 372185700, 227853714, 193053339, 515934976, 69732367, 301617296, 572385545, 401575989, 2294265, 737486292, 484491830, 521036527, 675304381, 194831501, 789263412, 980776379, 543505264, 45653299, 43221231, 883169955, 257091989, 437069085, 199850079, 299883122, 797538256, 467792138, 784867678, 147675644, 785384443, 464295015, 199682165, 633667362, 343256494, 614996900, 280929975, 15374265, 234180959, 25826286, 931991764, 167762382, 125432545, 11774318, 28678928, 499801697, 696729529, 488378104, 377646822, 920229100, 493676124, 145930727, 59744823, 25680677, 589888452, 941909058, 702354002, 751192963, 333310023, 182429621, 628187958, 859119678, 505230968, 846124106, 353936886, 491249947, 957435506, 588876526, 667459739, 591531018, 267981804, 343333736, 165479920, 407877715, 186522456, 71424610, 91082199, 523475223, 53552718, 987493791, 963597440, 272883182, 596316037, 492564680, 377361455, 414810695, 120499637, 368428653, 274628184, 903046512, 939827633, 480244893, 485553539, 226059972, 856839041, 898484587, 417769184, 403015253, 639510471, 929781597, 279343597, 454239802, 34193364, 656888393, 747013666, 616862193, 437037838, 890894003, 532525378, 664154629, 577923877, 419814478, 460412966, 50482910, 788237267, 623021749, 947030299, 647476819, 631529780, 998457045, 408196886, 268030138, 361271589, 493554433, 614985282, 523526624, 462388192, 129378932, 474571093, 857194926, 491031489, 88463643, 265098533, 398063521, 820656776, 656929649, 934100143, 368835966, 76954013, 33172832, 551620180, 964383603, 37702960, 841047411, 369298375, 540732811, 740530804, 115727540, 12327410, 299629090, 773659246, 565366036, 472233273, 91439131, 398255646, 43896713, 610213457, 408336739, 729630941, 870984049, 225483882, 54879221, 990417587, 418900776, 509723392, 874825167, 255673019, 699923303, 272163674, 137291683, 349913071, 401314692, 918689511, 117584311, 774644802, 52151368, 149929074, 836382182, 773104296, 359290595, 154807351, 853818189, 818155449, 725696057, 806808547, 85945075, 875941350, 158961379, 514890991, 895525926, 370265061, 176998479, 544075736, 111063243, 539296455, 847064143, 88924344, 903309550, 983886064, 195376541, 870208097, 507882215, 316430623, 289903141, 360920837, 99702958, 917989972, 732627418, 45131458, 948231811, 5975589, 173553600, 863841788, 110706355, 738997573, 841172935, 646643952, 592630171, 674650275, 707426910, 85498765, 328506812, 118948212, 302273152, 183490299, 131892184, 709081640, 419045924, 517387527, 378972783, 554795530, 777033878, 754143677, 900681105, 878510993, 914745977, 631747687, 293558810, 643135792, 357053313, 437417920, 841448495, 176404081, 782623794, 435765034, 864437660, 393195282, 777840052, 409701319, 352483832, 191536007, 928607057, 722899634, 967398698, 389661321, 322474973, 572496365, 825155445, 393953075, 443164399, 305530363, 24116117, 531897807, 764128421, 112995744, 406325075, 366697522, 656883410, 222505706, 12746672, 811279362, 107789942, 919028444, 921356861, 820556442, 331299560, 912525664, 397625803, 266038982, 788212719, 615873799, 895263325, 822569978, 358086679, 13411423, 130502809, 27457381, 39097756, 319480702, 369667693, 877074578, 643764663, 382810554, 992698853, 165459882, 539555009, 53617565, 144150991, 132360266, 408902805, 161698726, 452353756, 954747322, 744617304, 415137447, 967001135, 802788613, 585703216, 456015463, 632028539, 723677219, 387568939, 698159824, 532824282, 549871874, 863561420, 975780517, 710295000, 991273443, 263575879, 438662587, 982524373, 489304339, 164614518, 846473896, 828987125, 958767933, 311895492, 947383090, 755311456, 913901135, 537617157, 878926387, 579189548, 638890658, 678458501, 475778263, 819525620, 139408182, 631024563, 743452645, 741731520, 836189391, 970134383, 638896719, 904460586, 483340371, 141999462, 579040050, 380253728, 994590094, 572999102, 968908980, 843589653, 314704300, 338509050, 970247105, 181392165, 178208966, 65969920, 672350878, 819581416, 970697566, 33322247, 987200701, 845302361, 427035892, 850160640, 438216972, 640602603, 469087482, 949489800, 701264781, 627859430, 981034739, 492623530, 267133738, 827046430, 694562924, 512154082, 307020553, 572792806, 815181985, 737203185, 75970187, 76010293, 197304969, 209683904, 229395786, 938843866, 76795716, 332628395, 672580662, 943962119, 307747611, 648862489, 780140679, 546482706, 672114176, 906295356, 438197194, 449173706, 321801242, 874026543, 390491358, 837540119, 342558211, 268449283, 507042684, 202693938, 9066281, 423770205, 630239056, 515651442, 539679236, 74677779, 807455026, 133847856, 883759264, 378729053, 376956352, 232514674, 403657262, 667288456, 695631944, 833839000, 386125524, 851991705, 971733644, 373235409, 824815027, 21059224, 794462101, 763016785, 873863147, 89004160, 212134658, 727190646, 428467583, 537491449, 151071070, 721769905, 912434426, 674706931, 5692172, 890289559, 878762416, 957871034, 772379641, 205635005, 115562386, 283557485, 711504519, 89278997, 839968171, 154147873, 371418567, 663380923, 728219480, 681110338, 166071219, 443162123, 846684542, 719713404, 868930306, 181321494, 87333910, 993023640, 689177814, 164849761, 229447487, 553040685, 565469089, 503250571, 128317815, 767962413, 258010480, 974352974, 154778476, 135951485, 816950094, 678714207, 351835075, 520953896, 624087702, 657801304, 912974940, 251339188, 986631943, 812158992, 13740311, 657019699, 618360959, 867356827, 601661946, 793594330, 178428992, 161998299, 216406065, 694923333, 49438865, 990291935, 509148138, 115844003, 630127421, 532492345, 846714384, 447651101, 496811116, 478033995, 949151567, 250091934, 540915063, 719603462, 606028696, 773167810, 413016499, 131067940, 906662044, 784437211, 165972551, 126498026, 730138771, 8261135, 76089380, 486299236, 354532166, 16037735, 697192029, 816757803, 960099152, 29901659, 575118012, 253060884, 919012580, 594436573, 829251935, 469035056, 161293866, 657450636, 430913806, 314293731, 150289542, 795576845, 758006778, 68003623, 917745020, 256918708, 563424214, 231468468, 469380715, 716292121, 357221791, 646402652, 994121168, 518546581, 221475260, 562775621, 32522520, 291304291, 996021564, 799234554, 268958415, 724125817, 900231164, 419941101, 587466772, 207863204, 4128356, 105052830, 234036726, 857751928, 330046185, 46756661, 497660006, 564196851, 433798804, 111388607, 110001759, 131505138, 241189800, 792076622, 118264502, 474528676, 968444727, 796218661, 442775428, 367799575, 400414636, 738256013, 399032936, 95880832, 58834186, 786452165, 740152682, 620169133, 524667053, 692584535, 981692229, 552088608, 888414738, 581395061, 466449417, 514611425, 687208699, 286283603, 596207508, 916187857, 408926108, 919261489, 315351705, 378855918, 410222324, 830369205, 323173341, 95585561, 855297490, 87701193, 765842198, 442402948, 621082904, 277240910, 711792064, 3947785, 133423134, 891366793, 133213052, 363043444, 93640413, 246125464, 723251303, 779008026, 245419594, 669433851, 917670855, 917469074, 672277988, 657711858, 384787816, 45660429, 17553455, 744956052, 957045787, 466676967, 683205679, 721947801, 683828822, 291840346, 612378543, 933404052, 345402397, 888145868, 714861998, 257118267, 275470006, 587584486, 190470237, 223642626, 900717637, 564767362, 494575592, 131163760, 925601722, 413268683, 292586476, 56394416, 833073186, 305069260, 468404833, 141427710, 275945289, 307696055, 710659153, 997408465, 487050908, 629294772, 795656416, 481782322, 430654987, 141327789, 198114839, 315952264, 376806055, 198364674, 87510827, 844247625, 999893816, 693858280, 266405016, 685056097, 476398661, 8403550, 792612318, 328854920, 50520483, 605401824, 333059196, 331690885, 468653162, 275396323, 353499338, 987339763, 786571483, 804576794, 518915749, 731370244, 92333643, 73645554, 196114684, 190498456, 11152309, 223563610, 964940860, 359892050, 249351704, 540021460, 164120359, 541535035, 202506563, 503025927, 230913366, 161234535, 698676317, 898735814, 128898853, 945146739, 296937014, 136930700, 516316283, 750501850, 739440115, 92385198, 816790890, 37359368, 57357961, 560142102, 682311707, 71767951, 770786303, 131478374, 666312391, 197399420, 508129834, 265021213, 265929477, 158476067, 965848737, 852982880, 24346489, 83835622, 702431000, 140731154, 728583433, 848122024, 42822975, 236412835, 127589923, 986462906, 871669998, 512076163, 420378621, 19318063, 776338151, 42932228, 561058723, 458785974, 892617809, 940989152, 159518319, 55441098, 728881507, 609897929, 601220660, 801604467, 980120705, 187654980, 409735043, 895327450, 362473826, 144610335, 191151840, 542034392, 281475527, 443127209, 25313581, 403591852, 4998600, 814473319, 474361403, 279186513, 246058333, 414366938, 761160369, 296333322, 247678578, 899908528, 68397979, 672693834, 525211449, 972832784, 73369804, 199525754, 192903441, 943880814, 3032743, 467352031, 746959959, 982237962, 163736345, 337743714, 1575345, 401865441, 798692489, 585210627, 981885409, 13703448, 483040832, 380022861, 930648367, 933247249, 811697070, 769366818, 925095141, 850881699, 33998833, 812504313, 434515516, 525952801, 61162688, 441886866, 848854240, 509380772, 918428943, 796673875, 184843378, 96189754, 857034956, 812366312, 702078460, 541579421, 61493883, 768560206, 822813381, 980900947, 115721082, 718863257, 684632622, 713181074, 588602398, 766105878, 700167421, 452809580, 868953833, 169029859, 836457760, 504111812, 95872149, 128434321, 63817115, 545521463, 718927862, 806622202, 277268344, 241415758, 252780424, 48142844, 936865670, 724512127, 291572774, 162145195, 273765227, 841889579, 185560948, 440113137, 230616149, 841264995, 288075310, 578013418, 758441329, 519454302, 436987240, 844836295, 264832209, 812985390, 846292806, 394518142, 348973247, 360104409, 669536055, 876096774, 932465938, 74700793, 134930439, 577139781, 988588106, 241622432, 506697348, 969164017, 28924576, 917701625, 919509033, 174785391, 207975062, 966774708, 49451431, 533874769, 336018906, 63335597, 220692475, 10277779, 137704696, 841398327, 812332744, 2538307, 139396617, 66321398, 432815322, 213707353, 77348425, 368421590, 283531904, 352111639, 647111252, 298558675, 16597579, 624534301, 62344657, 530099869, 308384456, 680761246, 98552510, 394338147, 460740897, 897714941, 225337029, 587035696, 560083095, 850421309, 945666927, 859244528, 94749904, 885934563, 529561981, 819095083, 37138274, 329751971, 970915640, 877093036, 229827899, 29349447, 865461062, 5562048, 870847215, 267797325, 655465315, 163008749, 731796265, 146444274, 89321290, 366922142, 316578891, 252251936, 788410748, 667729832, 200799669, 305178243, 489280635, 223020463, 555711042, 725620931, 630678766, 194952975, 371882761, 325822875, 164835306, 321365624, 4696613, 47055443, 553843452, 322696408, 798886301, 982848001, 230399098, 869603347, 938614479, 766435168, 783909785, 299014480, 147432547, 958890122, 667353842, 520093357, 844795961, 478730112, 881366995, 213029755, 362071249, 940396157, 659528386, 49537646, 750106248, 379073144, 551518420, 838561140, 780696686, 201860695, 498573007, 886171087, 89882792, 669439041, 889852666, 340082834, 561315536, 100307817, 863181298, 707025911, 673846944, 168309030, 771453180, 9133166, 978142315, 683981551, 874483875, 441721334, 479337942, 571889810, 693971431, 491142174, 84523777, 995195076, 893856479, 742879722, 945974800, 335422033, 516359552, 570553441, 934136296, 709754778, 534888962, 981468002, 324695348, 547216780, 87385342, 269323421, 516482251, 247996726, 747341886, 647086344, 756219876, 674793002, 567216641, 488524473, 999455875, 664626322, 481454134, 253835163, 347484149, 980783510, 431595097, 44241714, 159681053, 369801472, 63065345, 547143090, 392152911, 245741074, 464638167, 652936042, 469475983, 153851556, 788437707, 26183251, 738119285, 829186848, 362396552, 807606498, 408332541, 104717376, 10126100, 371423684, 114925605, 737142129, 681808245, 547890635, 748982901, 829944870, 60685221, 766388111, 289945203, 4905966, 912738308, 678008996, 98598288, 82083476, 535092435, 845483854, 439507678, 566148456, 112834742, 430087177, 471268101, 383543732, 290781562, 889258925, 846628335, 547651327, 396046703, 485092737, 634687725, 671497720, 849587886, 121640019, 102890954, 974236192, 27817075, 862694814, 79852123, 385794647, 333432372, 135888585, 879056425, 566937903, 355939601, 784838386, 515733474, 619274434, 248135564, 280614798, 888286016, 409042012, 740765221, 946255696, 831015025, 942790425, 4620438, 129804195, 697878431, 698101266, 415004912, 124512864, 648271875, 290321858, 494280647, 269916465, 186523315, 692153961, 866044259, 456565545, 867703162, 903711912, 693683649, 887798699, 374794141, 961439707, 987572024, 324103, 469579076, 208694146, 699096753, 475012066, 928100761, 440834117, 834654794, 269716503, 639695861, 796648501, 532009533, 278773625, 372722949, 129440253, 856487985, 1904118, 19499975, 50849331, 200602327, 914201026, 843431277, 4422622, 627598265, 885563942, 630305235, 319966781, 311584711, 293493198, 345009835, 928911903, 243394949, 195544504, 536169822, 593715124, 57769865, 970039359, 871459038, 220620954, 844684604, 137858476, 184583026, 71890200, 268671105, 443022747, 786649143, 90751148, 915044461, 520736457, 596810973, 103321764, 777446607, 267764825, 165915815, 972010221, 587145602, 679254225, 687126563, 935117418, 631456730, 592466370, 671178158, 156493515, 826803522, 664970071, 995696784, 645118596, 375029570, 52841348, 277758920, 984226480, 125674742, 732163821, 680701020, 918195239, 33051804, 361506341, 580325942, 557075056, 269628418, 707226206, 616211791, 77735845, 219921236, 247037390, 453772529, 255134613, 104632581, 674872186, 259492533, 674000299, 7063990, 101256548, 435865749, 896524302, 550873563, 50026765, 746590892, 571272371, 134361171, 731122020, 506824308, 160421953, 290547488, 491553619, 446368077, 541515801, 664744807, 959286155, 673516598, 376088256, 656047823, 486260335, 381963470, 830401065, 577180301, 770581081, 21677998, 274390091, 943037993, 433444622, 152644915, 78778498, 263270046, 711652546, 814903530, 815193959, 631145673, 489286607, 758402103, 162194413, 996080405, 44179469, 863623448, 778649769, 947265028, 773903368, 326770950, 648170896, 692720037, 412530596, 889138348, 961340348, 74072619, 78201465, 133734761, 151339974, 799578501, 681139946, 529721677, 845926684, 884311353, 973259070, 357603567, 366256590, 555471590, 684565719, 836737538, 929858618, 537530198, 353542685, 330278017, 79967226, 565347351, 918332528, 988720613, 176507082, 395429302, 287483779, 495252357, 608236651, 727604882, 294500618, 699659325, 855392600, 577649118, 612447287, 476219667, 991373902, 812162823, 453589620, 239419779, 897971518, 483495950, 938617313, 485461633, 205797988, 102827077, 709944140, 97960623, 673633091, 266070189, 547962296, 568435826, 443094678, 184669243, 125913964, 464358971, 352923333, 902505092, 941206942, 869051165, 246348126, 372691047, 802470916, 325585291, 701296239, 352652075, 236245547, 903302297, 31989297, 45749676, 720269239, 637031435, 145373404, 217215200, 723787358, 244199174, 260335747, 740128985, 879242821, 70294168, 821334495, 479230240, 930383370, 70817972, 200546940, 619930199, 489087810, 54349688, 139088378, 563247699, 263066024, 743094435, 370932430, 447504066, 153844238, 638488801, 601985491, 453636076, 499313842, 34760929, 9485195, 243162735, 778652543, 715967737, 714965281, 489122109, 188559721, 637660068, 238628709, 271235655, 942971853, 947652994, 999410192, 540414868, 626107828, 226048171, 182367621, 104517092, 611980698, 709709167, 684769299, 954232006, 653948574, 486955208, 681747572, 496570812, 659043641, 825267398, 83372392, 371922306, 79585534, 861097570, 70930214, 523036654, 14823773, 792703220, 509376247, 453620331, 911252367, 655600430, 893445629, 599287572, 659818844, 204428856, 843758251, 473863005, 735866181, 636465606, 933822225, 811334133, 27901594, 66485855, 977481244, 652946394, 730819628, 935053353, 199370286, 293573328, 459524247, 482492634, 291551448, 402902043, 948297237, 349971513, 782899633, 701584495, 327068310, 786716092, 289467382, 526340015, 914305513, 894130414, 268685684, 135873222, 854887437, 354118229, 990617597, 674850424, 592523892, 158508561, 705495007, 521342146, 673270692, 211190367, 870459775, 440193048, 99972808, 508863118, 206205938, 378875840, 310029102, 986611476, 656467878, 354980920, 889649754, 983443023, 651067233, 619042050, 13242676, 178356902, 661629994, 825710339, 139529742, 959638333, 85354561, 321537511, 767570911, 804976772, 672881542, 889104338, 595656976, 401613620, 390669817, 881343300, 382620817, 699897178, 562805837, 983615912, 879676898, 706659868, 375778604, 324491915, 715017660, 122427005, 625820835, 236527259, 660194331, 38856314, 996199754, 743886795, 407452556, 996510941, 109479318, 785138777, 245336509, 526305054, 523556764, 52747388, 928147564, 36156849, 280019977, 506076456, 876409002, 214872899, 841307054, 389393672, 307670226, 374083815, 483879524, 942380015, 360287770, 411166558, 552532444, 20362631, 763842364, 629270137, 642602782, 628232986, 687042667, 182317496, 500976760, 588810855, 721686709, 941437960, 280577135, 508451954, 409772085, 548620504, 291083189, 740035663, 912091655, 936515601, 162048973, 83015523, 408447938, 576831116, 889297826, 220772000, 675569001, 502102036, 479374478, 202654480, 187374782, 513094434, 203368758, 895059619, 768584939, 628030998, 933676235, 47381206, 487083888, 378386982, 495332950, 640577408, 630137005, 689021145, 325689118, 237560173, 671836236, 265247132, 90181613, 33484661, 574700895, 313854348, 660264463, 209792787, 333717051, 812928064, 934427838, 618482205, 577300073, 522770707, 438756281, 171711171, 351665106, 525416930, 97107745, 47097081, 618515390, 186604942, 109941126, 374819782, 205754748, 613970699, 573023482, 701288562, 86111714, 235752642, 82506274, 46217516, 428263566, 613565717, 192238089, 153619499, 637049695, 127309069, 720976269, 546728774, 62890546, 474843172, 679456166, 240624002, 113682884, 63931679, 133203869, 338525581, 7615614, 958139544, 753357455, 99931652, 605335603, 721440483, 328484290, 664157575, 774127958, 108342084, 422677449, 392124925, 794889428, 158650533, 503446483, 508683553, 963497342, 26558303, 168135536, 29484000, 76939759, 908451157, 238847561, 770599539, 28977670, 528043483, 456786532, 241847401, 629990996, 260246871, 221874582, 497671631, 250025917, 114007840, 370290898, 652842334, 886995709, 624983670, 653614605, 65200106, 5726389, 707626096, 147647527, 568770130, 276441894, 683979691, 753328558, 896269060, 86312901, 533710485, 306798283, 843905846, 525855472, 477404927, 180988372, 168638268, 595099235, 269852184, 825172693, 125045031, 806892293, 685502283, 177114102, 264825941, 484888652, 618335741, 765412424, 842665153, 318094454, 766082442, 127033181, 325845334, 319369632, 187577220, 163831444, 443773665, 24772454, 710353326, 752981125, 808402389, 809661972, 528881574, 945420558, 239635094, 192678854, 435382136, 31206453, 178433992, 50409089, 312497856, 653544561, 370507032, 712664094, 187057659, 373560224, 837692852, 227654693, 925838144, 325824874, 633089236, 214642040, 50773784, 770647372, 765067748, 586793305, 213673073, 510654749, 537130068, 151618294, 536948683, 417625595, 6668351, 231864618, 765570071, 423646274, 260353763, 702258501, 511117411, 637025251, 933900151, 14257946, 428882242, 563610598, 215689215, 525076951, 723939898, 357152512, 67639477, 133322456, 343167214, 306685626, 549873695, 757095556, 774656522, 86054106, 51371040, 878879588, 241943292, 831133542, 265940589, 435898247, 978697468, 149987882, 883988926, 681563322, 896541571, 102707236, 776278973, 717700952, 838445720, 584417945, 806331456, 428231910, 115177245, 462036209, 857219544, 118524332, 857008204, 774548365, 755632978, 666855244, 274715876, 414452278, 43689051, 739316877, 809608195, 637278213, 322399029, 168753214, 785234172, 888313027, 503295764, 289295722, 68192958, 704521501, 489356131, 512859860, 815194307, 963807323, 475839098, 259729792, 200073511, 740678317, 702387174, 957703704, 734975559, 795062619, 747651610, 251198478, 146416112, 792891051, 113907425, 634647452, 638614028, 519305424, 5347193, 269175041, 769396972, 18633872, 328228960, 324249051, 639584650, 194262913, 365580245, 58675816, 777933203, 106195375, 905603572, 74583354, 489229336, 332773212, 41026033, 815540976, 316976500, 995861551, 465452503, 704399048, 860459309, 701295233, 768289746, 702787946, 317107676, 128507029, 845662511, 264594787, 936795572, 105416006, 603821817, 411904995, 680534808, 20844794, 391683293, 902451025, 479221704, 751864121, 32067785, 590846770, 412550280, 686389294, 979586319, 567781757, 125435511, 334589965, 818387069, 274365856, 818335600, 688388211, 995735525, 397678180, 475936837, 930646328, 59314877, 911653594, 303419082, 826485027, 227600587, 489399108, 183170796, 873825702, 338318533, 69772286, 260125053, 409150425, 385980619, 187450750, 883459971, 547869531, 966562583, 105331657, 849724494, 353682615, 830000048, 385904783, 305355730, 153652834, 30975478, 617977000, 920676101, 863552030, 864582615, 550486779, 767263383, 572489480, 647875999, 363383985, 687913224, 944341654, 163537293, 716825758, 629235568, 889898943, 995999775, 324188567, 187194520, 63353177, 574119970, 919220142, 356257980, 280451809, 595949319, 400426142, 641482758, 262031, 521586065, 69543994, 398250529, 342254279, 80679661, 645748250, 854888531, 997296650, 754489902, 707492135, 164100814, 79763541, 784973948, 451324267, 542168073, 238606515, 76917255, 779595350, 708271785, 665050774, 359801426, 997013986, 87465508, 105306260, 237670398, 668148548, 681552733, 42805663, 294205161, 712202382, 151268837, 475041200, 464370666, 740936305, 262047680, 201617776, 197632205, 804121146, 984446865, 681009902, 522144762, 388662524, 86529350, 415205538, 111742467, 51407974, 553573153, 397976056, 657043924, 76668010, 509892480, 864115412, 893568252, 868452415, 945431449, 396820033, 569165452, 813741397, 421953957, 216408679, 225479506, 357777648, 96450575, 478594017, 342907012, 311835031, 520906139, 733385171, 991949201, 936291492, 242647665, 530531462, 62340474, 794373860, 246521862, 199545098, 606433912, 731336344, 737943073, 772098615, 112747362, 259707167, 67197268, 264073453, 776437029, 69315328, 279980333, 935520695, 599409565, 355052057, 976635953, 16870860, 247878215, 183742255, 885231733, 910850248, 381268519, 510287517, 704491140, 895310915, 243018923, 693314473, 808734189, 420582935, 666339221, 466947493, 590471918, 998806089, 396645822, 148402610, 347013090, 372464149, 179564886, 131732198, 998378343, 508776184, 861649268, 571612191, 558061666, 905568948, 559365812, 390762998, 575667928, 451848386, 125591147, 440797383, 193865619, 834437307, 939217988, 826191316, 301045527, 62180104, 845602327, 231443918, 322378828, 500759974, 778720117, 896705337, 660411899, 689998085, 763302598, 929403168, 691488234, 618145269, 74887455, 586898694, 927914231, 19484441, 608688259, 844197614, 356028569, 132898986, 773543499, 328372784, 586903971, 634528859, 682944971, 766528593, 878004588, 843321638, 26949301, 257700974, 966429459, 484949070, 74815500, 155398003, 385874365, 821937046, 357441254, 413444585, 921949471, 89897908, 671958443, 536733515, 952751465, 334240292, 686954004, 440027909, 527745906, 233688192, 175236064, 210060665, 891756295, 135516646, 321653460, 590170812, 45055701, 267949970, 458955011, 430754872, 32128400, 792918191, 594208917, 847267281, 301886299, 343908788, 753734009, 587678547, 986080445, 921758297, 877649659, 447170495, 432734057, 53223820, 276711947, 494185667, 684434482, 886802071, 827086348, 378368415, 43018833, 852497642, 958137291, 972202068, 116851059, 813146452, 53318843, 781560549, 550571684, 373596523, 882485218, 74675785, 957797542, 658508716, 465058349, 431786414, 300420339, 738837764, 893350276, 537117670, 404513286, 63677786, 937789110, 947885788, 492881309, 92719951, 796005878, 392609066, 453664195, 967243268, 612474073, 678241553, 130178835, 609214553, 1305806, 149337632, 508470077, 921204896, 61103850, 514056611, 742660901, 287766351, 687880854, 990805186, 714958436, 416369453, 105932139, 192122533, 44756720, 272582589, 673783678, 278849352, 406312918, 529974894, 993649076, 335104139, 976413146, 74343139, 624660408, 269677090, 840659346, 547893220, 491007719, 972796683, 692362985, 127386173, 439428799, 141862439, 523521601, 262146584, 795139615, 270403405, 255438845, 609877796, 17888765, 165597639, 120489448, 944496425, 479394385, 763287987, 616577993, 518162895, 814809512, 474248913, 599185834, 793460718, 825522328, 249456531, 16870550, 971347951, 53847782, 18260255, 62705940, 729336887, 501011516, 440324012, 710701542, 566583831, 718196163, 480129055, 767731532, 411905637, 911332325, 704023100, 707667681, 930015387, 876976606, 422919440, 636278719, 350988981, 719258582, 178436818, 69923632, 230996323, 706269687, 291386979, 344613475, 390925772, 833913242, 793089953, 56340542, 192806762, 197781666, 702675174, 497172389, 106921258, 181799608, 660326219, 307738063, 803948747, 153099730, 333080704, 976367107, 953011714, 691787785, 359365340, 197036160, 935319918, 369393637, 207874328, 364074460, 302313238, 694742050, 683160629, 850365307, 343914383, 845223416, 893232210, 805639371, 950029311, 462055761, 826002218, 224753888, 227550905, 630768686, 164634439, 354049027, 853769624, 968214308, 692529434, 410469603, 251274117, 498121192, 315075127, 874038098, 642476222, 587909665, 835115101, 997643519, 734258281, 990964437, 616753490, 491924719, 292281717, 693524515, 320317955, 903943386, 247266094, 696177267, 797158741, 854566367, 941294044, 485826406, 515425501, 852027979, 946420811, 128429715, 593206699, 730478595, 196841116, 259066570, 94271953, 673946163, 559061031, 442529961, 806699411, 728873788, 486578960, 704603435, 251037277, 425769312, 208139852, 394715076, 622929056, 618638106, 773425178, 656221297, 539781856, 136472352, 713597070, 576588395, 891296403, 133844083, 809672218, 466771256, 921876309, 158461473, 567350, 332360788, 166187547, 879954080, 626629140, 664316986, 130723156, 372661398, 942900733, 248219023, 854569281, 229007931, 291214564, 305039383, 192257504, 785108566, 803998527, 354833821, 492933753, 197782910, 118579285, 281708278, 208909522, 132687259, 304869656, 476034378, 45941304, 875614275, 447883271, 743262934, 82405230, 435658132, 428264370, 406384717, 797556277, 889866648, 620247745, 964990606, 239491738, 879217103, 287694830, 975908032, 853819746, 876628667, 854271443, 998557940, 187234556, 302226831, 2902488, 219095297, 542239379, 127705548, 959032859, 628345596, 205686923, 994028705, 959368127, 169199021, 648340519, 909345064, 587304783, 189399373, 404859250, 67466457, 216961082, 439532522, 420711641, 11263556, 17509430, 216598977, 89871708, 940625639, 77743552, 391491256, 458920870, 863442257, 437160316, 787237706, 863226851, 397981589, 717239917, 962894518, 549050125, 67105413, 51827120, 788850010, 909220432, 648921583, 374536160, 513884469, 793335416, 933608023, 608828980, 747223556, 762749882, 438335570, 65856652, 289138440, 235336459, 845326940, 969557163, 719972486, 910655501, 481328718, 728053348, 519121420, 813716244, 876639527, 739519862, 660845855, 525983157, 881559087, 115240987, 990966506, 590054870, 800522951, 459745791, 969880680, 787543290, 747656646, 282068057, 557326328, 591157504, 806831914, 225249875, 57419579, 876798190, 352140707, 480262810, 327916441, 760565285, 493079242, 592394839, 186778434, 529621984, 290546429, 917484691, 513860089, 549081078, 41734746, 732435642, 403728253, 208117794, 459109314, 57718925, 992892497, 112643818, 427117139, 484606428, 381372000, 696953083, 386690980, 792058267, 478257086, 210653464, 363981393, 656239726, 463007182, 30962799, 259433288, 618191299, 250669930, 276098218, 156249354, 158409915, 506368306, 752435603, 50869059, 696143338, 433086568, 86113180, 955727652, 646840649, 23442257, 33065215, 40869542, 440168586, 526339973, 794868534, 115160226, 985977591, 514406652, 562971566, 604551408, 183976065, 874109619, 922351428, 254056511, 959037989, 358865248, 37966714, 78598190, 835742455, 7744740, 627028633, 993432281, 480942448, 104552939, 965648615, 414513071, 335256350, 544587719, 371601386, 265117608, 562087191, 189167579, 150680386, 121281830, 438470999, 308406480, 341424613, 948218840, 551827609, 796337299, 159047020, 695475657, 190102914, 341837347, 862894752, 960827247, 181088493, 942564442, 306895916, 292450843, 998919837, 634714320, 76801660, 111538059, 779195007, 298224506, 753874503, 248183040, 943290200, 260924196, 496612522, 105881817, 630176445, 392051922, 65795996, 924871045, 91631944, 16048059, 622213309, 929120551, 875307039, 158848706, 178258000, 720267734, 803150570, 43977412, 607521218, 939186539, 719491271, 55119685, 39746932, 328096722, 898037476, 195705478, 787978661, 898462337, 168342264, 100443278, 185297139, 555016709, 274225048, 494561083, 484073414, 246274620, 409884976, 519272222, 669449352, 950286242, 228650837, 887025485, 819630022, 109450038, 852982313, 157908449, 397843853, 918475513, 432162258, 687588256, 453905806, 641484222, 815809312, 120857234, 607252232, 484575934, 530159635, 21382794, 104168201, 610716825, 578984581, 921729477, 553913482, 438482353, 967290581, 147444329, 195364868, 738662059, 618827435, 622813305, 839258693, 27342041, 76879443, 502349206, 149495581, 45461032, 434870940, 709750128, 284152119, 862171761, 901030955, 92507875, 130812759, 331672837, 862417776, 755560399, 219504742, 951149314, 229138593, 401730412, 493215355, 619140001, 858064982, 884762034, 422120232, 808709288, 330215643, 72524013, 494644279, 750825763, 737327934, 706422304, 547261355, 384776986, 403826170, 798655218, 419514880, 960600763, 196914195, 734583320, 217668605, 134665126, 403865335, 121979869, 195197362, 301739304, 862875222, 182146598, 711957234, 233136951, 958742539, 552412762, 594663695, 430177018, 975002700, 859130431, 690678487, 600049483, 996320679, 312499380, 83480915, 475473144, 988387081, 928926977, 780648876, 300775473, 943269480, 564997101, 349733680, 686929026, 858642198, 605101591, 89270591, 205678734, 178450033, 886301092, 838077867, 991221060, 212973450, 612284585, 975173970, 437294836, 849767679, 773989194, 674340421, 144717426, 163023702, 722399141, 598263875, 314792583, 688568932, 453908602, 152766327, 164730460, 611331558, 467396745, 471606670, 870027816, 483422264, 520243821, 429442583, 849813640, 607618141, 962919378, 827896118, 178331625, 888695600, 265901630, 15922874, 396110082, 649583331, 830937207, 60621105, 791261112, 168079422, 489711756, 748588854, 985385522, 71854332, 512933896, 767950191, 12472926, 599941054, 633018199, 441889182, 375446904, 221801218, 88875514, 826809639, 288746131, 870118992, 66981866, 167272987, 859234189, 252902211, 701727075, 716785485, 317599513, 17668797, 331599353, 661178357, 205624727, 564440045, 708425384, 278657540, 491896240, 233079622, 985807386, 781097074, 344725593, 542798355, 488881882, 267350075, 467876317, 142883074, 418962000, 788276614, 76705362, 999255864, 633931376, 174543134, 78982088, 696706947, 260370293, 209117804, 180704309, 104383854, 513967897, 316656700, 309469336, 573888252, 350956031, 698066393, 410901630, 332169164, 422227012, 489899553, 812646942, 349789835, 389741635, 729513398, 691650590, 260783078, 119002497, 278300817, 803673102, 632625138, 141954481, 916681464, 154749626, 481826196, 892669084, 11328018, 282917752, 555253217, 764747364, 7047083, 499818407, 706139669, 927768961, 989313270, 93416806, 686421545, 772008104, 217397902, 622410727, 271788893, 897977827, 410952489, 345032165, 940699678, 871718162, 305459686, 104060220, 608261895, 719476719, 1580942, 181653723, 717006503, 498192533, 813646946, 548968882, 975870219, 385552187, 452539906, 598141428, 890396898, 976840593, 181777756, 484721904, 750110707, 265496406, 502539170, 168163827, 53600807, 606529708, 366786374, 39817358, 921448385, 801412758, 981917979, 523446702, 191281933, 17468610, 200048198, 235118916, 366897640, 93955655, 604900441, 256845572, 624182164, 460175348, 281753381, 41437322, 3091712, 694634548, 494959177, 21048538, 800735037, 927578002, 297539160, 846641985, 235139177, 487774514, 811225483, 901537277, 797603105, 238190523, 606904417, 428343688, 975774712, 409764451, 582378893, 224769862, 647137391, 502320582, 694681031, 510682148, 708630317, 793459579, 170048160, 109306056, 285540087, 184492501, 268858158, 503054278, 633155670, 682058837, 349442137, 70360344, 947677536, 872229653, 131556495, 145085854, 260610960, 338909152, 228431826, 27423133, 693868374, 426010515, 723807249, 437430295, 403482664, 119263545, 991723177, 519651238, 658726118, 581134376, 828217253, 39641908, 775971897, 788233197, 412311879, 507870045, 609638015, 250311410, 278937276, 320844316, 873647532, 263655498, 222321788, 330443052, 53329843, 525207350, 174348371, 616923785, 863188325, 386439453, 581850155, 608281404, 19282529, 993685590, 986096343, 228455017, 55176102, 623254139, 857462164, 402579076, 54999617, 411301568, 925816859, 68443292, 293931098, 899640030, 426543657, 597451213, 96866387, 695982124, 707254452, 690480319, 808896644, 989067061, 843900016, 103513320, 218978948, 66846784, 912571692, 625802799, 300340752, 56588521, 341255768, 714333365, 544625842, 950124284, 31014761, 77937596, 129528551, 42346485, 696959188, 421274885, 512670630, 572902335, 437311640, 430207549, 239686357, 70011857, 158245009, 829324646, 425196056, 295892674, 768366860, 958699042, 670571366, 332081891, 958771420, 376104656, 434408074, 172514630, 87476998, 934423611, 344444557, 265054586, 741003158, 543575231, 704772756, 420654765, 626084629, 880741702, 372740698, 205737829, 327161919, 672210592, 560183980, 264072993, 411684732, 983473927, 796746688, 905938996, 840942870, 951691109, 666030037, 1974398, 54932731, 661793718, 925695603, 240903629, 874843463, 151530852, 383035114, 565695958, 274670473, 203291624, 287863301, 221421425, 993291508, 753191798, 870520814, 22233997, 434745071, 795625145, 217479910, 974432612, 44338847, 169745036, 238805134, 177018899, 505689108, 53708709, 695304759, 769154442, 675655371, 610124599, 101761809, 143824267, 696490600, 633734497, 250224506, 408848496, 823112795, 229093963, 112150830, 493498714, 260898733, 360062261, 298620752, 685175970, 496144125, 359232227, 527708838, 159034608, 166075364, 794734684, 896279086, 851714082, 703539420, 645927097, 742642621, 494964519, 847934072, 250597160, 354729236, 821215862, 553183991, 935604317, 521908995, 859168974, 63054176, 306659948, 495565416, 745039384, 227455252, 97415741, 451278784, 529339811, 462458825, 99068292, 578964231, 275939435, 670079070, 931737412, 604754229, 802391719, 804796879, 546683742, 830057059, 370476774, 944144879, 818288455, 7196, 874266759, 417727968, 528968353, 235911857, 809237044, 413028434, 208933505, 23920190, 577983127, 788854247, 456961621, 747846754, 599741848, 137286922, 346929368, 130497715, 543596088, 289136723, 519440605, 355642872, 804114103, 208317896, 216013318, 403945583, 526333082, 593224258, 912533254, 139571803, 428510389, 656843177, 356530126, 939795738, 824890527, 437165737, 547345537, 188863319, 685250695, 16245761, 206538377, 634288720, 777404702, 804239641, 728767415, 598568307, 335738634, 425645535, 305376840, 399516873, 286699755, 20848175, 875316404, 595800091, 270815159, 394243920, 637225255, 245835536, 468940523, 275337854, 755995489, 264580468, 65634440, 754207693, 616182640, 85591113, 392838428, 726114283, 417795761, 386120651, 603927949, 747122369, 552413820, 928808280, 685156935, 613220170, 612277255, 613744794, 788707229, 984919085, 45985546, 340063915, 904067092, 362974624, 183963321, 463360543, 621507787, 809566801, 878592420, 847477429, 9312053, 566904911, 246359439, 705889100, 745329604, 216356718, 344324700, 477698712, 46049720, 488163638, 67690668, 833175293, 508766244, 913013917, 67302659, 67503105, 716617961, 398106561, 638516600, 148553382, 509966402, 961424263, 271521527, 536979787, 45797631, 252419760, 829484401, 416467636, 176082825, 647524889, 799073312, 127362270, 639764824, 24206710, 523259473, 351442261, 628065873, 998357563, 349654283, 515184617, 170520173, 137926365, 485039151, 463474319, 423577173, 132358962, 804070230, 378997149, 949338724, 405512305, 425988943, 467186165, 683550150, 984772932, 215427713, 134109790, 656717834, 564967803, 693477258, 483100920, 651047885, 238777496, 912457661, 415143532, 396287110, 160147761, 718929943, 106375850, 65622385, 598097835, 308311596, 891108016, 514778905, 15946287, 480651066, 808253737, 986027556, 388267911, 975779962, 44287553, 974193343, 293394641, 654337403, 918881815, 387335016, 379115267, 242854779, 90384282, 787134346, 119265416, 817483155, 984853017, 851579346, 217573137, 953173807, 499729564, 996433457, 66971678, 153669459, 780993894, 141433204, 470912662, 852651051, 622846245, 89036864, 737043062, 880627555, 619165256, 123258613, 920796837, 533351098, 154349285, 439080158, 839276664, 139779643, 458283270, 655211931, 193847628, 310793748, 310188487, 393678623, 843041345, 651595877, 372785867, 729223920, 4765085, 579323054, 830092628, 713835191, 975629161, 26524044, 264271559, 221461445, 188891559, 98992006, 708493699, 565041516, 501136240, 559183024, 326403294, 485857982, 336542293, 244491964, 578563678, 176401693, 312083906, 560379734, 949455924, 571326283, 191324448, 270072833, 596023184, 361693704, 303766377, 171278565, 9864715, 672024780, 741817466, 742085160, 544560521, 333187334, 687217695, 852443714, 447513700, 489965305, 380979537, 610605157, 691727379, 818691899, 646002588, 530894894, 81589735, 283939528, 471146216, 487541794, 404206278, 971712188, 504578842, 525375418, 163047530, 441588565, 16234968, 51907052, 842199873, 214195050, 85625379, 728100337, 869171499, 376845369, 173509981, 443939752, 447973640, 755229208, 506065651, 184914068, 676382266, 758785995, 420435728, 524661868, 188278911, 933339454, 211515220, 398092380, 833143349, 612067307, 569304021, 635592056, 916053081, 207844324, 388585929, 668131598, 227059319, 854859413, 294983001, 525606372, 896047825, 561300045, 819382210, 749974134, 687777625, 241748260, 764393351, 14793187, 140150895, 318036687, 236113923, 119426377, 571954821, 287720154, 678401350, 752580438, 567180715, 123346652, 225918193, 104113279, 728122516, 4486949, 564627264, 742777576, 470263349, 108983572, 271687232, 318628834, 865482019, 679478084, 622465012, 544095152, 468277887, 82806120, 724568267, 726523946, 352724289, 247678618, 979013452, 874085356, 751556744, 754515765, 673625090, 997139504, 686064025, 430836516, 496886260, 874152899, 998611739, 448836022, 798399781, 696409683, 516398137, 975353670, 654072845, 304963721, 19777615, 730350765, 729067047, 872865711, 80507283, 725832865, 276833634, 884516462, 259299579, 275245845, 608662407, 101596240, 574729702, 677085082, 161742063, 540890369, 29906642, 192535530, 776576289, 602121652, 198079457, 10034163, 872662919, 546031730, 66236638, 816269810, 742456985, 92889924, 791399182, 409289038, 285010621, 342799112, 571139781, 553250887, 486692820, 581256897, 184741886, 847257436, 259186717, 548989947, 856030573, 275785965, 5783073, 690579079, 301298757, 205766067, 991372743, 205702938, 993912149, 478160342, 226148106, 942488839, 281380788, 739574366, 734319006, 228945744, 889023744, 876074559, 482941241, 449715207, 576607053, 416382965, 769020271, 888368040, 962489132, 423180122, 269788131, 589768664, 6464419, 290252173, 817288615, 670029577, 939895919, 518957863, 199379513, 569578959, 483122331, 651991350, 807708770, 934531134, 345037977, 507473429, 261239439, 130045997, 620839083, 211913187, 821461332, 558346195, 244289773, 429096824, 603403955, 608196214, 906057704, 91992812, 914513104, 778536544, 830748556, 974418872, 881313021, 373755243, 890982173, 147254449, 803254551, 561626428, 219578361, 234121168, 966084005, 401546095, 334568025, 728950471, 184140047, 80538845, 719217159, 126024177, 540450816, 762567820, 67873783, 204351991, 132418225, 994575368, 977635252, 146167505, 112114251, 360056644, 797901546, 847273587, 411038862, 271337288, 123065693, 270435828, 506274631, 238010520, 225756681, 97946928, 495501962, 111525375, 722475322, 663363243, 151869791, 685437592, 925456897, 831830913, 50512571, 927526404, 585726813, 377890302, 525720503, 972917563, 302012072, 331179630, 981732085, 198830732, 483646123, 186276329, 592573890, 116680555, 811721884, 442744461, 139843102, 243067975, 935831581, 254185367, 370015195, 407260454, 815719404, 314117126, 441478219, 4358188, 244521162, 151654969, 907982826, 667608335, 533012464, 342510068, 874608661, 689525775, 453013324, 158666512, 100403301, 754523088, 936831733, 237076593, 232789926, 269299400, 221205828, 512791005, 11709004, 275837375, 683476268, 576766308, 103573825, 706574807, 193738172, 702658307, 820938763, 772521311, 714902584, 790222121, 616929377, 771463749, 152495121, 784347014, 165833030, 462108089, 911545890, 118838785, 960234221, 805798154, 987896837, 613623585, 77261426, 120187584, 784543552, 652393259, 815707642, 80771725, 90942185, 194140359, 702357073, 968971822, 678016206, 810228791, 691680709, 335407068, 725804688, 509462002, 327630901, 418504775, 909692446, 874002136, 591224518, 770943390, 396494497, 225840592, 474712679, 568610270, 918606523, 818252144, 557611375, 966540368, 137517604, 915666622, 734597970, 606978393, 376295287, 515279572, 266352319, 858342482, 259638812, 219121278, 84450301, 917500465, 276283695, 484133131, 881074642, 878901645, 770461034, 848947235, 353513303, 324926938, 101109856, 888264873, 642157001, 45078000, 96989775, 210254483, 63196183, 688356023, 894956645, 861220884, 587962395, 668213598, 119665681, 398251433, 675694966, 999086120, 683198212, 273468838, 238095961, 148713097, 394188228, 253242693, 795647009, 136897182, 119844594, 808719709, 50032544, 407808876, 738584225, 95300045, 12503292, 997466558, 806285702, 629346955, 746204626, 645326050, 842746471, 190624676, 187544715, 252949750, 18605000, 631589951, 534486810, 921409422, 162744658, 385358203, 376954784, 297332583, 596576466, 72840012, 596407994, 715724818, 880885655, 350465645, 394812025, 864465702, 952609032, 187669261, 678667463, 937379334, 655349578, 41813829, 473174119, 750600260, 979345131, 406062982, 884754603, 800616963, 598215418, 672358486, 477694185, 86179939, 526961051, 541989700, 223941133, 359250937, 392125427, 181619185, 870503861, 685565454, 431301204, 334514534, 268456038, 98248982, 451875485, 290492944, 499607938, 854674740, 648606263, 598740156, 477211256, 155020682, 302868056, 207140483, 138633125, 658929923, 631884921, 311758821, 460928872, 131791182, 53335310, 559540138, 994819424, 475745322, 393181644, 829606487, 239769124, 662905965, 585113031, 978814053, 641962504, 464405049, 628921583, 101745000, 874207344, 371388886, 453252949, 456029037, 873458325, 892537860, 603411979, 855613838, 502920570, 838346438, 15437696, 753073362, 644365174, 322463141, 141346544, 14527871, 276469594, 666840280, 759650337, 620631333, 287496652, 852123074, 125920564, 557324973, 677418029, 656191506, 798998440, 209455835, 913064304, 465497406, 895911052, 391951881, 860321034, 646783113, 66189039, 555804336, 343227258, 800171546, 849684073, 430996071, 318349993, 483188840, 587509292, 767872198, 341375158, 541950523, 767793476, 274386856, 100254917, 104727740, 395302263, 449899356, 390843379, 863329313, 842638414, 109103335, 441915923, 990730438, 554759896, 268200411, 839125055, 513600857, 945434841, 251388263, 307273628, 295898667, 945817410, 90936555, 373432336, 108214309, 926053611, 564988946, 669829542, 123543438, 756066419, 260631543, 955870155, 190715, 724104638, 585775255, 213300477, 283216266, 419709842, 975664882, 448612339, 71274640, 27598387, 94291987, 689564862, 548846689, 175983219, 240276252, 290199229, 394538687, 256121787, 143009432, 367438287, 394442563, 717471595, 209714222, 360434935, 759874372, 765051980, 573432365, 810746581, 715663005, 710010712, 2763857, 481831936, 661443686, 95870374, 132516411, 880559774, 768503402, 399817133, 540463548, 844118813, 294850596, 782850195, 689819606, 726316030, 929551008, 544916256, 441345499, 337263069, 942843636, 961349906, 810245984, 409859617, 403634314, 197070363, 636858187, 219616804, 364343620, 272326701, 709793631, 555674260, 596338922, 93668999, 678707424, 105172622, 738240378, 184169336, 7871361, 773418172, 144385151, 559938344, 342624945, 903250965, 980799402, 664392122, 9975315, 117967570, 876600930, 518678823, 887314055, 924462563, 740080433, 347010148, 907877187, 990812087, 876308627, 763008000, 736172163, 122521294, 806475115, 831140680, 274879792, 39869967, 779150239, 232861936, 387763827, 630654987, 884427889, 488325117, 427315126, 694880138, 739844175, 452514992, 956608783, 74956031, 619535825, 487361279, 219641237, 499595949, 299466294, 49004948, 290132491, 171375203, 928768348, 68229757, 288890792, 988466136, 583057039, 984146186, 799107945, 928032089, 894103602, 871292270, 328090417, 211144895, 348212316, 693270394, 977787775, 359111950, 546279142, 332189024, 22152623, 322392025, 175957409, 689972732, 916707147, 735297369, 174035272, 638381075, 447329618, 38039822, 362833245, 778764691, 743706250, 934681343, 191923322, 141578303, 259270111, 566616804, 815187344, 241029196, 154055420, 327307145, 174591000, 727167689, 404140967, 792025457, 829077588, 671289435, 312569320, 835069383, 5447096, 256222080, 416942274, 331572399, 918874728, 987799633, 491290092, 992672333, 939429871, 336987329, 599798227, 751748057, 48623364, 660906491, 483298529, 790604907, 931970346, 384818392, 500389663, 682648397, 687212261, 931635093, 63561014, 647646529, 66429847, 111976858, 604910209, 506679375, 555515669, 123847693, 44492632, 178847708, 946204343, 845354283, 427846975, 690556757, 914308617, 189403235, 36675450, 542238247, 794804663, 577442071, 517924905, 795204990, 501340080, 613354260, 854322902, 571260895, 510260438, 414373757, 959194226, 105045310, 477394368, 72800755, 445731641, 103854338, 841523771, 957791852, 191532511, 961580297, 388877143, 102309775, 428357400, 830081461, 563818151, 866259007, 485835690, 30082297, 948589886, 562392830, 499109369, 58433073, 733283579, 36428328, 742298882, 982643403, 593203780, 144755224, 578059814, 254472399, 22301867, 789998879, 735889165, 918792549, 557462809, 552573722, 576530981, 680153828, 916392479, 646974858, 34567001, 994679482, 9460630, 972487263, 300018493, 640747865, 657751837, 627670811, 587663859, 814605409, 776005740, 344540768, 914442808, 323409866, 565987127, 539745133, 675037315, 450123788, 413095721, 54159360, 368457255, 171562353, 621533236, 59200583, 982705473, 142943196, 24181977, 786801377, 843283079, 40385945, 194742271, 75718708, 644665269, 829591822, 640312514, 509973082, 836543579, 306452012, 813042080, 944898820, 550143784, 62021861, 992978935, 196696601, 710776674, 757759648, 788128770, 508886684, 407131667, 523136459, 620527910, 480558764, 915736219, 812216291, 91417414, 520775627, 949658687, 84409460, 816577062, 384304457, 930699848, 511428540, 836975433, 968245972, 453251047, 921779564, 216048536, 494252696, 254735994, 205744844, 981264789, 990061028, 985782286, 822067443, 316563393, 763292217, 708024504, 693075248, 99141092, 956296872, 55694579, 52732834, 308486669, 557081203, 58042609, 935091786, 601181323, 938701215, 779116109, 989803820, 873890548, 589353904, 723945581, 876703675, 211910418, 896307042, 762777210, 278865821, 110798924, 437579393, 628929110, 829831404, 526410075, 619011952, 978008449, 65222966, 849172173, 144839480, 782970345, 398869366, 641298141, 698001818, 170673426, 345647972, 659858130, 112495963, 432970454, 7230343, 585967399, 715821978, 40623996, 971749782, 842350030, 580042921, 989912562, 166642836, 973760291, 161765884, 782228883, 527819807, 138626752, 850353393, 333606921, 648705625, 47313075, 266982238, 201833381, 308526839, 68814931, 927686741, 262022530, 535614874, 863188936, 616955547, 104202132, 171104622, 331238109, 251912037, 286572272, 573456646, 949203657, 53043725, 806243760, 203265019, 876486006, 948937495, 567449238, 415256129, 988070406, 968023790, 17019473, 248737963, 120681248, 583983950, 153993219, 201935152, 136164457, 829871955, 626291047, 394802246, 260007922, 607931843, 24306224, 28575069, 225321218, 908829358, 169220022, 936512506, 665776761, 704549784, 698417525, 255461139, 163951408, 261229082, 220008280, 348623912, 807148420, 371106186, 366690995, 544609152, 213870993, 408196963, 754669215, 399795747, 559323631, 485832609, 350352952, 721747050, 21631935, 355573914, 206023787, 964425951, 691307920, 159549218, 671420169, 951126219, 634927534, 643582950, 274406843, 632962879, 760518512, 229811483, 390881175, 924757771, 38194303, 293272202, 173491328, 486019127, 734258251, 387215108, 437262928, 728554527, 275024192, 248976244, 343245733, 701258706, 170540138, 465617442, 858198203, 574360296, 946008040, 664094170, 517178634, 693040995, 799594735, 255316661, 449678209, 87199479, 511287441, 125791016, 282384294, 785396986, 457604138, 287610759, 723403051, 10837888, 746035325, 640711757, 995757787, 2202152, 917093046, 577936335, 648767243, 785286990, 635011419, 695112654, 374068143, 14921666, 440382233, 660237890, 526475247, 957351727, 252635667, 812396571, 412310376, 326907154, 30634198, 706007029, 970271608, 580512741, 972748916, 201325968, 314261339, 716665373, 962091777, 486226702, 273466370, 840975366, 599150520, 164993432, 484979571, 418559139, 363203519, 162207943, 208330032, 473511398, 794841071, 171891390, 336414769, 600986238, 936969299, 859143400, 350403043, 292803417, 958133236, 937969576, 384765730, 741217260, 719124565, 511975130, 529929688, 872979520, 413094461, 630884202, 651374826, 857264663, 228977297, 822943843, 77199492, 710743715, 932154071, 658944343, 426960928, 905863513, 849222023, 315065974, 933274562, 40403835, 803059944, 407747168, 714968487, 955036691, 961766212, 307500705, 475154160, 623864479, 399106155, 274460576, 874887932, 936834756, 339899692, 94033093, 512791616, 159687579, 734508020, 867806917, 575669353, 479473359, 574347008, 79762627, 134124861, 471750395, 165249715, 875142716, 792987970, 24874855, 280763719, 405529976, 351781845, 254659557, 344786449, 430895550, 933134790, 249828212, 490208485, 678075790, 434169584, 949903024, 747154630, 302454525, 893883097, 226358666, 752566952, 839129014, 742747936, 33190139, 395772530, 458036737, 292028714, 192074274, 74568408, 403968414, 748157558, 257293201, 281945344, 653838435, 6418166, 891108797, 915633643, 346851287, 238668024, 519068579, 990641799, 785190834, 689000043, 617317650, 214079151, 651673204, 509008143, 739303645, 839388246, 925063421, 921156601, 846270348, 23338925, 77029027, 980991821, 827897533, 469982935, 53943776, 846861414, 697151374, 165612553, 633591435, 796789686, 94826135, 191030409, 643245772, 130417543, 247948564, 119420540, 580850845, 676206991, 72685894, 636684603, 927693599, 49440245, 847822314, 682549684, 556752146, 961680458, 169120186, 531127546, 728504491, 155076752, 472477553, 26185430, 314397086, 593668662, 434302073, 803071656, 166722904, 728113321, 419246569, 823603977, 150361255, 524260741, 503555043, 714625615, 899435873, 935657071, 874663104, 400776830, 362487258, 525738000, 760317843, 548463811, 885266979, 839427412, 433041928, 412050312, 612894997, 821381333, 652561053, 229504992, 846168965, 640505243, 931920981, 276540988, 449906316, 911718584, 415403493, 558731555, 210481417, 997112380, 677146064, 356596017, 440393803, 795920226, 536832024, 380483176, 750339439, 586263421, 998945515, 742636966, 19095687, 544759610, 601077107, 910875650, 945314815, 63859444, 662491110, 300032016, 403559725, 419986460, 776754797, 628474677, 467268624, 829082135, 908578842, 585907583, 789607167, 744806186, 183096567, 761609482, 249420887, 836197476, 253923842, 308179723, 450254095, 243805445, 266396839, 346532591, 905313627, 551598215, 702201115, 726758130, 687676614, 236631803, 640582483, 423115271, 686022811, 633283961, 827195312, 15568263, 353725033, 784509879, 492037019, 149962977, 442760370, 802224471, 84215802, 419503084, 192316496, 71993407, 898152326, 526961975, 549858601, 420927066, 647960203, 952264125, 611390294, 881248879, 420701208, 60215625, 141109577, 140160557, 666087815, 899711095, 497256422, 239930430, 321162812, 247695959, 381869073, 479077357, 90739426, 900726892, 976853294, 956843221, 967708363, 216888022, 867880771, 358897449, 13482112, 922833301, 106553674, 364182536, 125102074, 136642006, 688150639, 908680559, 829094436, 783161410, 568528323, 465539993, 312580456, 995303187, 981020101, 163170974, 610314979, 514265265, 891956656, 534089572, 612165061, 474487037, 420431481, 81497077, 710994339, 499216688, 424426240, 487816844, 567122801, 892902782, 26150520, 808970139, 588523652, 958430586, 105232988, 52316094, 34727794, 987544946, 87835266, 680533528, 263981250, 834389173, 899284767, 953714733, 713657205, 540007592, 214744952, 937463253, 217212870, 326849700, 348041291, 65211132, 267468726, 437899834, 547960261, 634687043, 392830359, 329034061, 362074703, 328208783, 422784216, 932991516, 547859838, 705978615, 566715229, 113056206, 595149478, 241510837, 687025596, 152375504, 236767204, 922545066, 426562337, 764458519, 378479846, 490049868, 837941031, 791007688, 249012139, 383285845, 45636102, 911597607, 203463101, 989067196, 692922359, 203195107, 451818278, 508067011, 342071527, 910130955, 137533350, 352096990, 738630796, 869751449, 86932798, 340287770, 188560444, 307565626, 401961661, 224216713, 621863829, 842680673, 571616418, 735386469, 2994442, 554920496, 363702774, 583077970, 171947489, 823150020, 823902366, 111183003, 398388622, 522257152, 566670610, 788013440, 590697365, 640831838, 39024039, 912499884, 8811370, 62327191, 687633831, 304313578, 981335386, 482320016, 206110601, 332061080, 718366693, 329269658, 164039620, 390897235, 57110029, 241165783, 701173195, 435585244, 587926996, 578277565, 506059373, 823881904, 588590690, 840384877, 75079957, 338120657, 579233837, 539072223, 792473388, 668530066, 291709434, 495383836, 823482821, 358797138, 975488661, 758708968, 925414921, 360134510, 741241064, 37619542, 682589918, 48862538, 570095291, 763958119, 621446693, 354067065, 940041555, 342589058, 638973134, 749428019, 399463367, 889464314, 664903991, 720245045, 306576824, 230806347, 880052144, 629948087, 913718898, 476414358, 697858195, 61381550, 61461081, 859594576, 587650728, 998124639, 306126281, 653894853, 307950863, 14633817, 284023905, 590365765, 545910454, 819049149, 573339380, 646451912, 641630250, 724397922, 708891862, 635458180, 129075787, 767080136, 123487615, 882529405, 675313439, 703226753, 739187981, 853046248, 948038338, 643249244, 768863064, 701097138, 75531109, 102341767, 633534452, 24761866, 736101180, 901665193, 778152980, 460992832, 464506199, 203942172, 559441245, 327089644, 46981070, 890113926, 75116040, 972911787, 675457626, 551810784, 861759921, 656744224, 150777945, 234041263, 870554880, 48222598, 274714785, 922810899, 77014428, 475706068, 136451449, 515841741, 932306844, 653963566, 648096103, 127387380, 324983733, 264651335, 553422746, 527078004, 555777622, 760112411, 813247311, 771462213, 877911242, 904042902, 217633781, 173158697, 584727329, 706707, 610046718, 40515473, 571061819, 293189931, 721063574, 684877919, 593336402, 518410949, 673907818, 514645308, 856952067, 317852271, 563922201, 629861151, 336665376, 506707673, 833158059, 918759307, 728126286, 600815654, 746718612, 530026694, 73916388, 113380899, 485324156, 819072449, 60419600, 317004428, 673267345, 115082905, 650069318, 692402405, 370925640, 260504939, 968442637, 690558453, 719518542, 845572865, 44393154, 656342609, 706521349, 675521812, 920522813, 74338647, 506450328, 303648011, 414981551, 990147473, 903752679, 656120861, 373969947, 460605808, 218197943, 343657869, 801041350, 365256237, 186579864, 363974994, 33095639, 248969511, 596486751, 976626114, 175936801, 398791517, 706523353, 305891304, 324467721, 605883243, 102235086, 670445618, 421578110, 937202171, 861036786, 629395370, 902333728, 851475660, 848159169, 604164741, 546868877, 481435383, 819203296, 92821429, 532217465, 782357409, 639142220, 466790988, 516584104, 61030522, 112368078, 37749876, 701033099, 104647262, 858917270, 999384912, 71321166, 476244126, 830106372, 544502078, 420715197, 460469625, 584895085, 148621123, 385574952, 705794784, 476184414, 22499926, 661112901, 689485482, 740713953, 496915368, 773467369, 659268335, 852433556, 733186459, 679050719, 950680433, 463354019, 838588445, 632758605, 380703242, 443091731, 863618103, 856823436, 715628120, 877256093, 615311867, 183404594, 831364448, 670076213, 283444682, 536917618, 946639188, 474329183, 132762094, 377620255, 20938794, 630938362, 728185366, 654971181, 659659924, 474502329, 399361003, 831846199, 866451000, 528151476, 698318225, 21578227, 13484903, 386393512, 932173833, 159886041, 611743992, 481581898, 821427954, 476051379, 229569326, 40498099, 722860691, 580949579, 188563007, 361986406, 164323131, 855539550, 472627050, 196008803, 448757672, 60147938, 380236897, 342414189, 992665181, 854067633, 537199697, 815002180, 949668564, 995420461, 252792146, 506939191, 588591261, 465239896, 923936433, 459213428, 790016887, 953428129, 198562045, 134433120, 390731329, 237861089, 352207466, 198838063, 650966007, 907524701, 973836631, 194280773, 313362887, 841713715, 741555664, 289571749, 182026438, 676853213, 338403868, 971741892, 599536672, 447400313, 453102960, 388256185, 540775774, 135006146, 832590058, 856498157, 513902142, 748409569, 437107926, 150070716, 197283110, 89733469, 981088839, 287384371, 890684329, 503581152, 112951890, 386935, 223185113, 820225465, 180025191, 261169410, 498382002, 882687321, 406839741, 902823003, 224733556, 624419782, 921001849, 924363120, 371344149, 384057924, 107488408, 817392123, 560377711, 150550232, 727251767, 484686273, 795929620, 97335536, 690323329, 399346394, 651586337, 100114919, 189352689, 403674965, 778330339, 955315906, 458162032, 88324999, 914924605, 543829871, 640807812, 422743119, 724498518, 64719281, 858268302, 422233699, 462267402, 988865491, 687690797, 113871494, 423064530, 972072447, 43486560, 278071456, 984831690, 818741308, 82364960, 502040092, 729686853, 617882051, 628893994, 233796161, 558171484, 443469250, 915910912, 872876582, 206772666, 966593565, 306375982, 989755171, 176775937, 225837963, 77474066, 948191818, 117085995, 173420583, 476397306, 912878478, 521710220, 132154911, 577540016, 747417741, 748470411, 103087652, 775127361, 622349710, 851280213, 310066490, 674759422, 166691120, 652824521, 449089140, 468357719, 969748336, 380534571, 807099450, 296158404, 220916255, 823203704, 944496576, 521983178, 956426189, 998398177, 617619846, 156418679, 93712391, 362638936, 753430600, 26038008, 466165272, 328264083, 384970500, 819703612, 373541233, 722749887, 584543402, 411704180, 165278640, 306712970, 481492020, 14792935, 994039037, 778079817, 10797187, 299941497, 135937569, 23554048, 624234941, 44403889, 594511540, 778366993, 341523603, 505308650, 439021223, 403041835, 672153445, 758973978, 449806207, 496684321, 645325154, 351693378, 596645329, 313193861, 664630058, 714591689, 600853143, 815744859, 113013761, 919272573, 801116015, 665991004, 517341576, 985084526, 809821486, 282384491, 58315628, 330791718, 428356156, 814152980, 868066649, 531323996, 23821439, 675287952, 273833187, 389878180, 946274035, 291083151, 333883021, 186152604, 573417850, 808374986, 775059355, 799597656, 819308879, 996826153, 806820696, 54120541, 635740259, 357873666, 545269632, 605499640, 671166872, 461812857, 114856031, 133484564, 206773696, 836706678, 342845268, 414529581, 897124006, 816038766, 646947121, 945231149, 816991153, 892650799, 47249382, 162285210, 95957867, 767761183, 993420812, 635432003, 323889691, 450636372, 388490735, 62915124, 203797467, 614608242, 619663878, 968085565, 995891825, 490866337, 15929608, 122271888, 795415673, 356177681, 784433321, 570130425, 702662225, 122958230, 819513736, 35730060, 894722321, 975275319, 763543796, 850828039, 334775150, 492257525, 959334232, 237013909, 305682828, 156520940, 35991473, 66198886, 281137634, 969016320, 782453162, 343968108, 243713420, 374114407, 516562255, 352288841, 666834571, 85608581, 803140843, 242398302, 31688794, 804221635, 361036875, 249129344, 993671805, 609750962, 446212271, 485951259, 985671232, 577935586, 862199000, 632148540, 279508034, 721746014, 237200564, 652212722, 87685516, 25143314, 398122225, 66972651, 491896791, 220593876, 539336501, 663497910, 526153292, 269715156, 495593716, 42621373, 855786274, 90687105, 780527801, 27806373, 438172694, 301675144, 208317744, 817116931, 752722689, 429310674, 258181958, 768977567, 283628015, 351072331, 544837875, 760515204, 331136661, 938022905, 429787769, 48229663, 438247536, 589444452, 904963613, 822375608, 920165216, 510679307, 129785810, 628752487, 304822709, 647592754, 54721439, 970901985, 654793480, 677833424, 928274087, 187702904, 564833637, 753722930, 537256772, 914386439, 564632792, 806678587, 218615742, 712809008, 18456551, 606560007, 652254524, 362382103, 225610908, 45108532, 149382676, 311793692, 449915414, 460217855, 404116920, 979543882, 158669251, 874690777, 844661936, 365098734, 684341563, 849928485, 221425130, 759669828, 361040617, 762331829, 657807221, 960325681, 988574631, 90801365, 177369198, 847767572, 246623445, 838601621, 930521264, 119407793, 593388444, 489313410, 448574489, 349496338, 476886260, 204618925, 798812712, 948800524, 982903132, 817607822, 122145922, 939011800, 761150305, 768746374, 904255629, 377328698, 861067152, 565840120, 814080805, 846197143, 100070009, 115121747, 4794494, 437869142, 125923431, 909143679, 215445248, 996053455, 714906352, 113136051, 344378635, 897365626, 112980894, 912468444, 512974104, 790273993, 820982727, 149344919, 860445130, 603826364, 17524662, 71617417, 668881656, 691324148, 317772586, 989487738, 761531163, 573906794, 283745905, 843418579, 855624374, 80911880, 579115416, 723709971, 761375577, 227640224, 806909587, 198799948, 429370687, 416547153, 704520613, 522049522, 388032450, 878629882, 405575040, 389638498, 435374108, 95257077, 232218936, 186557331, 384518599, 722751421, 451478752, 987891555, 411215134, 319701476, 626044609, 929851570, 696956615, 593719023, 165631373, 31113609, 277772666, 384098694, 681146999, 60579862, 27969567, 199669819, 945161475, 463130709, 536779528, 9918650, 452184757, 343552320, 328368690, 172775376, 534360189, 518240281, 222148990, 168915281, 22111349, 54850381, 268094778, 721281870, 373897306, 674275086, 231091274, 985059674, 708807550, 465793647, 252820800, 995408259, 144243848, 787001796, 142889231, 920236296, 541023273, 827037954, 725236611, 702586499, 458556832, 214444598, 177376678, 688758570, 889195801, 325250553, 494992, 335245354, 663800100, 553846389, 713664205, 40795768, 713040466, 352133193, 257962983, 435161560, 540558180, 148467171, 824899859, 591623284, 287770878, 844592551, 597840141, 756672696, 125161684, 77625643, 727733629, 677401932, 977002146, 475075822, 547839372, 487390404, 359103874, 820885348, 573672410, 959547848, 964485433, 755110607, 391081756, 414992551, 225702950, 87427772, 754353808, 549197043, 810235068, 994782119, 700626406, 727978273, 728394893, 66314870, 678146814, 864057926, 319734341, 972070207, 114557696, 30985117, 643142626, 697571160, 404360373, 999781036, 451921543, 196494961, 121389722, 583451070, 361961662, 550465955, 499291816, 763327108, 400808047, 242921605, 872574074, 228589764, 438866545, 753842, 226530700, 286017299, 956966107, 569283358, 952846502, 9105751, 368453422, 299372519, 261041244, 878080173, 773411448, 314011997, 852671694, 657067561, 401471727, 704111140, 645487496, 996917309, 851595852, 114532715, 940287214, 5412057, 176538797, 182618370, 354439696, 170946495, 210228363, 789932920, 724540540, 875873137, 991543791, 59365427, 957541799, 595436325, 595178129, 646449991, 999135056, 755600978, 466862105, 521342747, 622443129, 963403392, 332147557, 629948104, 287601044, 472243910, 751373365, 589991470, 770609168, 255927480, 242694466, 705231654, 926559103, 417379338, 745872627, 985551716, 587685809, 309817047, 574440066, 955196538, 684384664, 535745911, 3869235, 65638140, 766068824, 127804175, 998406814, 416767052, 623676990, 802239553, 623707060, 854335206, 755612068, 314706117, 430011066, 80602555, 667295792, 39906305, 654638183, 860533618, 461805653, 570673212, 97563302, 144850872, 712722693, 654225117, 395554701, 110128394, 143624490, 592734389, 985680928, 297547688, 940039435, 140966669, 837116361, 123340973, 905986838, 512456135, 49845206, 938100224, 83103860, 755892854, 683031408, 482697864, 883298326, 223001629, 334618454, 723478739, 226763291, 810665668, 664403323, 61829583, 602190449, 298713246, 927340639, 253523770, 653593048, 18338981, 671532829, 810477206, 51578726, 366403504, 635890108, 586673215, 883907689, 446026920, 82860574, 858344365, 617077824, 281208964, 146278779, 703798050, 436195336, 917055911, 773032465, 40973761, 233941271, 176759421, 977889077, 803613325, 622223644, 729276593, 985427806, 538269071, 854683567, 946551100, 656628143, 686292560, 907040331, 829731296, 437748484, 973992568, 141824555, 794335140, 827409377, 294099587, 386553357, 232856843, 950893595, 882814603, 143094950, 196402292, 195292356, 154475156, 415621172, 337788857, 757532708, 836286159, 327559762, 398027270, 93946094, 592488156, 933427054, 376944623, 214478089, 814816713, 651659755, 540363005, 735017108, 630485858, 743448954, 518071660, 308072573, 384779151, 270179497, 368075025, 777609333, 259367444, 192071033, 852146396, 527426831, 686352, 910339518, 768960781, 458014174, 873725932, 821371367, 961874001, 323862525, 599315539, 976190282, 244224318, 562162857, 390681672, 903476493, 973667245, 747892227, 344239338, 598342065, 181720354, 660719179, 853341242, 721247596, 817576524, 646629034, 369969766, 275490552, 542983348, 391694266, 312587840, 577918652, 483013297, 222577962, 246050625, 550021767, 631983411, 124676445, 403831237, 30431663, 202772267, 383986644, 418308562, 537984796, 639572477, 981804859, 122946880, 661104476, 795495545, 153912772, 531381974, 718905464, 268540152, 562579601, 702517233, 236615789, 593694061, 842220953, 284363147, 445436719, 189572020, 130567489, 134639331, 345543873, 973394064, 165956637, 278797541, 384444102, 217315862, 83807333, 326981675, 484164694, 80165886, 511387076, 750879124, 622351447, 57149934, 572776425, 851344389, 492686069, 764158670, 100337843, 811227648, 367243272, 849258581, 402510371, 4923888, 214958230, 981713433, 833733153, 199881005, 141725982, 930995332, 60004419, 858554703, 787094236, 781794052, 237227928, 225466738, 427926591, 482129408, 443739531, 43355532, 337453283, 804945489, 2491058, 249849165, 398913822, 467791624, 400509065, 459581367, 962990925, 690989829, 364169054, 895165168, 532778156, 662061056, 198905049, 304037144, 462461953, 579239787, 826514406, 298104478, 400743947, 996545477, 389017394, 156585037, 231349437, 894406530, 699143037, 281860178, 240625350, 658017814, 183144767, 37835281, 982306868, 823892625, 538353285, 22085152, 540260334, 122756032, 939637118, 661357847, 152499782, 652415242, 711829352, 160895697, 833299055, 380043790, 61047311, 455280624, 427003562, 127377627, 263371423, 352265402, 555370632, 3342546, 546515490, 915170071, 320970482, 309331195, 866003123, 445329210, 239760193, 270145790, 262699349, 109063579, 293605958, 28028742, 43108044, 714531802, 292831882, 5258158, 960578706, 174313495, 50686647, 38306937, 263794623, 34698030, 545961364, 417771782, 432359561, 595953435, 385752188, 548660554, 285702298, 673161030, 608012755, 205230966, 498956144, 368135075, 216958840, 446938231, 568591358, 331547128, 559376318, 68611527, 665301170, 34844435, 516892973, 845043683, 240248260, 401307982, 567153471, 960405747, 153609039, 857419861, 118309051, 547682379, 648148426, 991952539, 882545773, 184061399, 999070781, 765982521, 267411076, 419502384, 124165446, 224058051, 857998522, 14496073, 264213459, 986820692, 570282129, 211753213, 245597268, 930143204, 774551498, 514652876, 925073693, 921086628, 640773887, 73060225, 529715420, 40958571, 366734118, 683946677, 432313285, 992760200, 784693488, 930677383, 619151604, 805284759, 457772432, 592456091, 485100032, 955898868, 391900453, 219676832, 562759638, 430856434, 967077015, 421103699, 992963917, 110482359, 777569921, 470580703, 460032189, 233271275, 82572015, 650552543, 189372307, 550063160, 647746980, 236384115, 179347295, 402139142, 159629222, 273418934, 139601570, 639676421, 652064016, 84453428, 465043456, 114055612, 584001438, 882590566, 676394963, 483216179, 745966194, 825327985, 985623490, 306947409, 409524159, 138263163, 64619898, 417338433, 406408681, 176380047, 442151325, 151506186, 149746198, 474173500, 102746034, 226566556, 996627825, 966584070, 365471770, 849933266, 413800255, 598244754, 126970922, 185758186, 706461626, 401986302, 678089530, 630918032, 620166883, 400240225, 221398836, 433075871, 195422184, 666716900, 602329513, 751455164, 227663599, 121331035, 46276718, 596554704, 50099848, 554281974, 271420442, 500849468, 661363368, 634675694, 460763583, 913662985, 991783536, 333018579, 731640294, 559230455, 999669244, 758691851, 593952435, 511148631, 493139256, 94739801, 638739681, 281785165, 660608903, 886479304, 978275634, 683136324, 434348291, 724037738, 886238552, 683542926, 3901775, 770688715, 985889474, 744394045, 687499632, 112022925, 709757837, 808444152, 388990657, 414047616, 771749579, 40009897, 498367058, 958240729, 510152993, 969036435, 944212125, 311926042, 395130471, 761896151, 180718861, 980058142, 562067677, 69013272, 789419877, 169030287, 934204461, 315969032, 819974762, 550314188, 144251778, 822839592, 632707453, 420496940, 348080391, 772142856, 290303779, 943238844, 849751516, 485101918, 860570586, 469092857, 46109389, 874054586, 699654764, 761626656, 568016869, 600632192, 355393880, 762871144, 90723412, 421396573, 821959691, 688529170, 1176013, 636078683, 112883067, 320579043, 381618296, 65758063, 25110816, 490864813, 386913272, 267005790, 562375298, 289107207, 762698447, 434785338, 856447011, 259157584, 270443820, 38413935, 900862060, 219634624, 624575829, 287227775, 972836461, 345965740, 122320627, 994577485, 892542517, 410959298, 971836054, 585178827, 117477242, 84885627, 212011083, 294328681, 180829844, 579330251, 12516062, 70827964, 248185109, 531725514, 74432849, 906905354, 514687983, 780610483, 153238624, 849709297, 946298535, 53595615, 745693607, 804622002, 54756627, 43445771, 681610311, 38927291, 250831651, 92816901, 208539633, 621293214, 38923469, 40014046, 94843065, 835306181, 420634293, 34189616, 137708148, 520134747, 933145517, 831535807, 123049281, 651596986, 290989476, 517207984, 479116597, 81926487, 304904974, 813467686, 898725379, 136962177, 297897895, 269825097, 250849752, 841034435, 52275124, 410518997, 430127781, 228071649, 857447845, 538068858, 870164542, 486173353, 408732220, 508445817, 690253051, 460612092, 861451465, 825936684, 792543852, 33860420, 246938348, 74650582, 274397244, 779003226, 47608585, 373548413, 729452187, 450947645, 64419561, 570761831, 893669977, 512129496, 560247894, 157216026, 460511522, 286346537, 125211998, 68607530, 453266903, 322374612, 609662657, 941008795, 447510415, 622127857, 232525273, 271107278, 146650050, 798543450, 199014443, 378559878, 2556259, 485621987, 525607726, 982004596, 891950318, 691909166, 986595406, 477928614, 879722556, 343044273, 843756926, 934192441, 734762611, 451061712, 218968049, 164305574, 360301957, 346527467, 3541627, 831749710, 554744489, 863022260, 469664021, 195610995, 716813815, 468569610, 505213642, 891866880, 497163608, 516967543, 663054584, 17592232, 266839037, 75364631, 640890895, 42432106, 400458258, 50573085, 635496654, 987670980, 54635066, 106795671, 287172203, 407075415, 987319132, 14555118, 364617675, 762036431, 130174471, 746255821, 523371353, 192952137, 917919583, 592421069, 260621830, 727676083, 718418651, 478613439, 341651556, 32387074, 33993304, 670410400, 778137207, 816385576, 779768161, 348218763, 558107106, 377331256, 348076380, 463754910, 968312238, 623691316, 843438135, 192144111, 263062791, 8396254, 188375947, 268693563, 655663148, 980204049, 662748233, 886987069, 500848743, 127991937, 90328199, 655925105, 802214454, 551894196, 338525449, 272553358, 89074570, 403690229, 750680529, 963767653, 348220040, 992991157, 481705836, 368971410, 520848735, 487146815, 200981416, 473334755, 102479729, 150311732, 733699420, 994750700, 701747533, 176834944, 953437533, 290193853, 770726758, 323588193, 875700073, 247099866, 94618591, 244764061, 295905921, 730670025, 438770849, 646314144, 167970305, 672538052, 707512052, 247123584, 608636102, 66828623, 932791585, 697725469, 739802925, 417783928, 530322736, 689774871, 936311568, 241103937, 3521906, 943169413, 818582953, 441718464, 736967953, 32964558, 876680770, 571792946, 877812978, 298006531, 946872519, 818601383, 397880826, 306917487, 974441601, 417490162, 596268138, 550148939, 728347200, 525715189, 252588339, 159300732, 908036027, 485683162, 319262407, 650688839, 444978653, 675148744, 663825138, 595867279, 601918782, 509387871, 387643530, 252143331, 175342659, 369316536, 955448187, 468611249, 827371036, 106674969, 792723706, 921717691, 261315152, 438355800, 536649863, 118600045, 580022577, 837980446, 915027864, 488953072, 166942234, 121702104, 282827493, 33811094, 264601835, 697395753, 758331025, 460562419, 661776659, 603126663, 135508693, 18070721, 816161078, 43800422, 745569448, 297127530, 252617221, 409557014, 504670446, 880394325, 819534188, 449546171, 669337584, 820619341, 184891006, 809311187, 159490172, 934081215, 471144905, 917871470, 383249098, 767639231, 501804806, 867699982, 97482663, 991894058, 502902913, 457924233, 235772728, 120059640, 471404572, 418640164, 796749337, 884715396, 373490539, 315204547, 875694208, 882820176, 571585124, 795112399, 899878622, 950346063, 734371932, 435264627, 823235001, 764596698, 944984736, 724990926, 518324522, 208374588, 143958253, 295957868, 997607882, 622113846, 89409853, 324426646, 526812725, 887937857, 9242879, 868877127, 391738492, 565950121, 291059769, 922024566, 415464520, 551954645, 807666712, 413521823, 228025840, 526452536, 562960385, 906565819, 803103892, 666267790, 929723599, 976953569, 111074976, 429420284, 837161900, 312739976, 12447175, 74041168, 687543860, 633979864, 846578667, 450391738, 107315174, 233237385, 80426975, 311773273, 590603851, 162972060, 912706750, 517798952, 720431751, 591764198, 798839458, 370700607, 636758625, 651751707, 725876751, 831139589, 202094277, 352227371, 743385763, 493988052, 891721329, 313094736, 198719551, 84095382, 208912988, 157142055, 466731154, 963034302, 665968701, 316810614, 199275182, 934727791, 797407116, 257650561, 416314489, 631506157, 614898732, 691145005, 586859638, 836139692, 409334067, 887604882, 531412748, 431268935, 722847932, 870789722, 625150397, 767377140, 784795644, 342128836, 241530187, 112350823, 769080106, 353760448, 53585152, 319520015, 642906548, 3268567, 616176553, 565160808, 238703460, 945973409, 193817389, 652493598, 388666686, 122337561, 530505008, 556664850, 451765895, 612451766, 564998699, 980721121, 670499449, 486266383, 685585232, 983390550, 515573142, 723486808, 429971424, 186489493, 900915107, 446162002, 44195415, 721458526, 419382420, 38472364, 833236265, 742693020, 152289252, 788193186, 158534880, 709857716, 749692283, 838669423, 246931602, 432779306, 452892037, 379150706, 932674412, 834895791, 63823237, 971883606, 19950235, 125686603, 184080153, 771784856, 931889805, 910272493, 91086825, 672174521, 129873723, 120628653, 153232096, 421582024, 134854291, 857585432, 791909848, 886973026, 684807308, 522339755, 27019515, 120986756, 93938277, 394714582, 137916484, 545632001, 416067371, 955901998, 737197454, 276881529, 200880494, 200210786, 201382939, 88603172, 968466280, 946719592, 852109140, 170208850, 618661849, 808755398, 93699019, 472965026, 666049850, 864672953, 202150658, 146219364, 529903725, 694968427, 774710888, 695690527, 975561063, 543791842, 712420773, 339634466, 412937220, 445125911, 816632838, 180353024, 794988472, 272128307, 558280784, 685474672, 794226082, 308420646, 161604439, 664740149, 57270111, 671706433, 403836511, 690809050, 639963225, 257216895, 967186256, 877003452, 33371717, 678943845, 205349068, 204266438, 113014077, 311831096, 271180892, 230863634, 834664394, 189741775, 225454859, 701649003, 28558475, 46024313, 129103814, 927831952, 336871941, 268368470, 534710260, 98266561, 860456173, 58303246, 713763110, 545122597, 304308805, 377925326, 967056249, 24270457, 492144901, 963185690, 575042937, 676016448, 572412148, 127449999, 942812609, 464498389, 686975585, 634310698, 726970388, 223304640, 392076644, 37436532, 999577952, 433596510, 450893746, 41594508, 938064667, 162362543, 180567918, 330826407, 831883855, 872498659, 905374879, 234314456, 1690028, 932882230, 813821405, 897120941, 610312780, 153021946, 394075752, 564315820, 217724865, 645556053, 201955868, 432667550, 625254382, 100396400, 407275555, 159267747, 266617410, 505037638, 187305277, 421879283, 329845624, 845971555, 932712123, 794330869, 280222316, 993534372, 15709157, 410064240, 45223373, 130810233, 181848167, 972495506, 855473340, 184899409, 276596449, 361359373, 197311659, 929170490, 154515025, 612426231, 706645594, 716582270, 212234101, 949264455, 246580819, 472303767, 387761508, 438163293, 373034005, 752732522, 676156721, 770717256, 282166512, 414653065, 239175977, 947929162, 31315205, 632910563, 918021486, 449701935, 732284512, 705089200, 410280868, 567651668, 499123066, 623183068, 648501761, 7725981, 697760836, 680474976, 267185913, 86724888, 595682747, 326720240, 338784224, 643186769, 894638394, 779067952, 518106609, 652334385, 45367437, 306138260, 754313117, 882783693, 856647229, 996142913, 928719098, 582462674, 770351642, 48025526, 268455896, 901856644, 987586738, 311824759, 868528826, 43557545, 243134916, 901640220, 29174898, 495498466, 364574572, 124758335, 7676108, 588380837, 686922015, 732555383, 474906951, 983070077, 559261369, 377986296, 225211041, 525653320, 220795793, 39190849, 938714152, 100850287, 532570449, 184165016, 274486516, 606523033, 39713904, 618708245, 472665290, 62905052, 922767035, 649502393, 125297053, 88722436, 316629164, 16682629, 263267114, 276770014, 295062126, 379134026, 560665854, 690349664, 489001678, 67937508, 314009954, 463869681, 769704707, 312100972, 543248859, 148302438, 686338912, 217231154, 109690457, 357692698, 480765785, 779119801, 613561320, 451754302, 228132163, 221412586, 121589493, 847573833, 866828181, 556242893, 712003522, 474446048, 70029459, 165874727, 774201826, 245574651, 809070706, 13008546, 695215898, 683067125, 763593209, 764710607, 489313451, 796268962, 196597499, 251558476, 51341986, 740910897, 873204250, 249131287, 667507174, 786856346, 604474983, 942253712, 837743906, 713990862, 668204701, 705857922, 899556484, 481658146, 954306340, 462799196, 408862387, 314726495, 429050331, 807263256, 468763545, 204361148, 508259725, 671412127, 615761930, 877899480, 970615258, 227853658, 753566040, 610081705, 645749538, 462300112, 681249544, 275807651, 479644612, 48748794, 24844886, 895940714, 433970387, 687222785, 124592386, 565405950, 456695031, 626509407, 18150260, 284511170, 37810205, 934391563, 423893106, 960097671, 584923487, 188729211, 950909944, 837558087, 327692653, 858304808, 400231520, 475217469, 677530166, 155821128, 942491270, 16444835, 479988130, 558363586, 189198735, 751679344, 858475479, 902405036, 217947462, 465251689, 761568755, 747427843, 460037280, 183235588, 318795864, 362667376, 572179478, 744213751, 978238392, 940658530, 403486194, 109213485, 829453427, 20394071, 901216926, 681821836, 953926582, 13300776, 10681424, 755248434, 242720529, 686708382, 382546355, 636177389, 728025130, 862204907, 846166989, 976762670, 682555094, 815289826, 908553720, 827180134, 582985652, 494652516, 723567369, 630844740, 430517347, 751647587, 440188199, 777122922, 571440430, 838592354, 653873765, 136228969, 203934228, 635274763, 63272117, 969045804, 812242788, 314170822, 861884924, 893357962, 727143427, 336358730, 318791986, 617264357, 386186885, 102880216, 140639030, 897868620, 890232980, 209394415, 230074373, 505083221, 238948881, 208252468, 975355388, 98368664, 95480383, 611957140, 755038565, 112340234, 107372298, 282964981, 59454795, 881044741, 467207094, 409453124, 56606141, 651896222, 718951682, 326917272, 146368147, 482080110, 885369886, 471896742, 925897479, 686605303, 735037199, 559209066, 332676394, 229659200, 400785554, 552179900, 821141865, 448169209, 570112747, 339462652, 188532255, 561273645, 744969872, 380669713, 672318286, 146690548, 91741325, 380885031, 977518244, 825548322, 616080575, 559251848, 586438587, 775199138, 435295099, 319868821, 613649805, 849405103, 114212011, 355672673, 964248912, 620258708, 471262175, 954996483, 960138710, 688094520, 775210168, 696492812, 57686194, 110404064, 442305718, 83428432, 502177232, 935689106, 581167159, 78504597, 624937500, 730342428, 755428666, 100159332, 604288964, 968216276, 385884642, 868759727, 383356248, 345206870, 36814550, 277183278, 583804276, 616420055, 775059128, 847835043, 139488823, 580987814, 652493418, 696486925, 478440735, 360700735, 595793307, 181137332, 563852413, 267774103, 825120992, 214720247, 5318311, 524436263, 461688175, 913288165, 980742124, 147904858, 561681453, 401165469, 355073056, 125008541, 321218820, 15908594, 423015611, 659907261, 740488558, 196570463, 380714533, 22107340, 205233727, 479035013, 278836630, 536593570, 267994686, 368908909, 396765180, 711518235, 857313996, 59356538, 731472739, 519640328, 959942868, 408844447, 254480486, 968014610, 484256446, 545374673, 136703931, 30669465, 5655597, 303716087, 819891267, 319826206, 439503712, 447309052, 433973195, 197247272, 226285280, 178649181, 682763048, 702168261, 592791496, 69055537, 879816207, 422873596, 64957935, 606980159, 720596994, 782342545, 14625896, 607151750, 602873833, 539892258, 950208134, 835865482, 4447765, 423035275, 775139035, 151728578, 315317838, 16898165, 844024823, 372920263, 905799025, 273008680, 874673976, 176402825, 163833626, 544752903, 357546787, 806690655, 478831369, 158403968, 470499899, 762579643, 745619967, 533962789, 987236412, 645546035, 646352823, 289185650, 651287169, 766274199, 643506546, 611287705, 59352029, 944461980, 309643678, 734119328, 347146702, 590550647, 60749610, 158714924, 580457711, 333714420, 856518404, 464755333, 895477869, 663289463, 895396732, 501001558, 85266375, 379875325, 298463576, 755399790, 244318525, 580187875, 7199134, 183290209, 962292727, 992089208, 134538998, 200683816, 645861912, 865923905, 78535994, 281937871, 173574170, 398454248, 860958422, 637437768, 624320127, 20126064, 658493639, 765097934, 57137425, 683783651, 679414790, 297471854, 341076940, 956229375, 629961940, 847381884, 399607287, 599601074, 43833924, 42150779, 208563553, 610307813, 98659168, 933330881, 898833570, 997420634, 389224083, 884233642, 872788184, 238451280, 470201872, 770043293, 371300959, 295112562, 891370563, 728976045, 995191024, 320882776, 194398767, 292269689, 117112992, 678423562, 487333118, 95765960, 190009770, 348993691, 260041689, 699134365, 471678793, 342999415, 122737384, 894844054, 653383246, 337290883, 3065964, 237673342, 157268126, 708047007, 773257874, 562216848, 683285690, 986336100, 535889424, 26985864, 872837416, 272284351, 460016280, 185858984, 429584916, 585603286, 581305222, 133472310, 681119877, 246471283, 403621953, 846844353, 781549352, 187546341, 879255202, 452058691, 569854191, 27063255, 487457855, 641487822, 9225698, 449451784, 307541033, 708160509, 745471212, 861208075, 768232471, 167953326, 233360853, 175217320, 437741600, 99932833, 330317052, 90319782, 20707655, 372037950, 176977836, 585825723, 196646106, 137246156, 112941997, 740407981, 790528804, 522747088, 291174166, 390972587, 615610314, 484877548, 217550936, 897262751, 191692754, 760104027, 257288794, 509702830, 507258890, 132814310, 196376917, 663851522, 852213852, 419901023, 949985895, 22477927, 231685824, 567728211, 214503116, 194357603, 790071354, 792416044, 749560886, 210263952, 660997683, 840210728, 793519616, 354485711, 198716207, 194504322, 454804011, 77875936, 344367387, 225936631, 69006046, 610655039, 878431516, 721522978, 393191837, 873482784, 316248801, 993193659, 712431810, 558637298, 863284362, 355851112, 99164405, 672089354, 838002714, 239147862, 418511889, 329898526, 683759881, 128348574, 531006072, 721437774, 565902759, 111930463, 902260402, 386917368, 197682330, 334218947, 923375749, 638396654, 202030766, 802341545, 260902797, 743865100, 900054634, 537211025, 629316524, 85982149, 436084541, 687383101, 352705514, 593182780, 335298662, 15149435, 892675868, 706853099, 818082592, 834324972, 222456075, 168148103, 249865195, 855199946, 654598886, 304808561, 483756325, 575073647, 424156165, 923837106, 423847277, 333883018, 702480469, 960381536, 832561886, 374187823, 361017231, 790998837, 285740862, 139184071, 860486939, 853034367, 945175819, 62072175, 300620109, 744503867, 89484259, 503897498, 392232511, 232649891, 713272552, 279424593, 531796026, 217130314, 157248173, 712937081, 488342488, 37423682, 343881772, 536638416, 377484952, 858221762, 849246978, 487246932, 660743520, 18719792, 556132483, 801771864, 719160610, 662869582, 97364353, 807212759, 256972176, 26517698, 494417720, 424395535, 128579660, 221917257, 544474030, 282443565, 92252792, 986956661, 337155475, 858532998, 80484372, 528893305, 801294870, 60291982, 952617324, 996827571, 998796880, 944318572, 544525289, 578532461, 534988074, 875565775, 53838220, 140211625, 107183450, 816591767, 603876683, 23032991, 295109360, 301241956, 301107275, 550180524, 154912203, 387673283, 696800161, 131789624, 254069311, 550567955, 276436431, 174419605, 451616086, 950905114, 320452390, 683127737, 502708025, 54655819, 501388054, 62097464, 997857814, 696144975, 601832532, 674328002, 848908953, 530998785, 220440588, 872179573, 223939703, 920777017, 98883482, 199656749, 30792653, 731069901, 30580567, 864687202, 558637068, 710655356, 445225062, 521512996, 272215571, 339211861, 424528489, 295805899, 787292624, 282381961, 31005678, 570001074, 790144579, 306735478, 794192860, 752403826, 318150678, 386197008, 44299858, 529050008, 378611591, 8127356, 314513246, 825567852, 701950378, 959176235, 745827370, 991532702, 703676246, 31449349, 440613326, 569650908, 421253867, 401404122, 677135028, 353940298, 286282797, 385144711, 113314322, 107693898, 663756440, 162887284, 796379634, 505838938, 887422847, 551430538, 654300439, 991944488, 348259568, 395360717, 120445308, 599324553, 714793921, 77976707, 82491505, 144466254, 278543027, 124850295, 424510953, 777841441, 234539617, 341744986, 260977580, 195489659, 548757014, 723300495, 808871041, 643772040, 759943485, 893363058, 676270748, 926949219, 351295457, 766188765, 865150097, 347551611, 592112698, 558051016, 613151238, 95014958, 105832930, 769922352, 563460614, 756803588, 505083261, 925562586, 270967336, 832275163, 232597928, 241968392, 389513882, 81294937, 415376924, 935884559, 755640816, 504224487, 230526568, 200155956, 389380601, 611716464, 44801050, 146401806, 691000590, 887692342, 151711747, 99583145, 151089993, 761019296, 954702920, 702524054, 974558440, 556367325, 909849264, 345500154, 819320046, 266417474, 59530039, 373581039, 191485717, 820612413, 667427691, 224616580, 12840638, 264796352, 696256056, 253655424, 675863721, 103722785, 671047034, 319653155, 768223028, 642636814, 614637776, 106856282, 354474186, 886530582, 308449101, 513516428, 174577269, 740770924, 727773892, 192088924, 827403631, 924325387, 251267394, 627566030, 939882816, 835337507, 173526786, 953499757, 917390368, 950240045, 272723423, 843924938, 51552042, 825388908, 779707273, 352288039, 934433876, 418755913, 967180594, 953770786, 210859924, 349186812, 458179482, 100305747, 101547526, 775531664, 253793745, 564356228, 285230071, 593983199, 983301497, 499052724, 627185405, 986198050, 857412383, 992512664, 393174002, 543514663, 837798460, 248081279, 519176381, 371406007, 328927014, 840728318, 123081289, 274976193, 423840560, 2225477, 668820258, 305842183, 695351429, 112293993, 499483595, 428203836, 186037180, 290944764, 415356981, 94398010, 689781729, 770573549, 287419102, 405682794, 243540918, 472328033, 70035397, 780358734, 718273097, 598779918, 16043589, 973632690, 619250067, 833240826, 552237187, 93137254, 602291945, 787007210, 302663075, 154667191, 537908167, 198757782, 58587313, 735833574, 128224406, 112673785, 478561052, 266070427, 877026739, 542489264, 204227384, 821471097, 207778079, 997498763, 151231557, 927081060, 920473677, 365094269, 159532403, 434861685, 858054751, 323886309, 394434268, 49901571, 86001227, 74483994, 957369807, 188220023, 22459593, 216251751, 6658931, 862942417, 850172338, 291662443, 782326732, 834271756, 967533368, 601019018, 879880125, 637821937, 690373524, 221616164, 877063910, 781008972, 881229426, 917225031, 929404585, 96064546, 488648881, 671720685, 670741475, 462408108, 60817248, 257836222, 262358412, 591677625, 338222755, 161975451, 140110473, 263721016, 750588170, 333791301, 180150838, 586775840, 339779166, 418113408, 955375821, 410677758, 616030933, 967511492, 587070885, 648306063, 339107222, 926805547, 891284989, 799854258, 106780076, 582094959, 713936385, 655903800, 903964777, 51968587, 142320192, 71501772, 25805228, 23056306, 574052113, 143440083, 497745452, 998843550, 79828138, 26412418, 58230957, 690619599, 297032095, 51729757, 661753912, 648827504, 336390232, 230257090, 400036906, 947862198, 876258686, 135133770, 590618895, 119987411, 864626764, 107612666, 978515591, 754766987, 672225591, 94639628, 170910703, 244342265, 414447081, 210003734, 643354269, 582992249, 390505883, 251252369, 620310440, 273701060, 164898093, 714983766, 743954156, 278750153, 855718465, 519085776, 735107401, 471562590, 712753569, 560107498, 707971694, 336113812, 298157748, 301584153, 427069770, 44953005, 652364548, 658951932, 357659605, 721413358, 32108926, 115618048, 574373670, 920897616, 220954639, 31942913, 189336255, 774069051, 252050459, 339989221, 236572258, 663541465, 859364263, 633690439, 381782640, 748898259, 173726746, 412451028, 192222001, 326106306, 722802391, 102167411, 781395059, 550993423, 553777713, 363608429, 281876836, 43467319, 778748756, 725914308, 776129343, 755860080, 678279456, 976874720, 565872094, 141999997, 250519009, 441586558, 500983751, 749803394, 63556107, 22738804, 309858397, 15358229, 358981331, 633657724, 440726909, 28431541, 657422571, 592330081, 572637125, 482291682, 9360301, 872346107, 743341423, 87379793, 322839812, 668409060, 236584975, 907718373, 711291879, 481224321, 958172333, 197220472, 695947102, 52791705, 730262568, 254185580, 386864563, 653577178, 113670251, 295759287, 488828824, 716955596, 243210998, 346501369, 821076608, 132757075, 573747037, 823473820, 927897562, 869547288, 712990389, 448900886, 342956013, 62946866, 470700815, 778713867, 591184071, 874254021, 850048762, 862801087, 906022336, 381745405, 888489701, 72579896, 674193275, 523047089, 57562013, 488742855, 723796291, 502818880, 70231012, 194873222, 248436665, 881011336, 493388234, 986871195, 266001859, 805574107, 324129304, 291286451, 939365850, 614937137, 799592506, 124645474, 591165664, 264480988, 43946154, 365319517, 254900857, 395105462, 661158006, 623284071, 56606772, 438868503, 899964353, 610261048, 592220551, 262264227, 113867784, 193973750, 40568260, 790754049, 266615786, 417989549, 444677017, 728938005, 420210665, 231476103, 651387430, 372132429, 733363133, 643252984, 545154801, 584039189, 315191527, 729476622, 347283407, 706782604, 836868755, 369557298, 722335612, 596740966, 993239046, 705077042, 522757734, 169234038, 722358125, 312995249, 31523089, 947857746, 845743937, 579326153, 442766549, 29389217, 905422346, 409334484, 269631386, 233631683, 225724529, 923951812, 889956534, 203715968, 829383665, 62973801, 386543036, 526031756, 297744561, 345911153, 273523115, 759380623, 248452136, 29734461, 319129446, 730199171, 754935454, 364320935, 659271948, 955157818, 651552939, 70070951, 426377554, 158188832, 737182146, 482712249, 627256339, 423009123, 10595346, 208226972, 725354163, 891720318, 285833075, 742188228, 739170820, 829286826, 500004038, 176466978, 34633101, 491439998, 47563491, 895379997, 72325094, 979727784, 525918634, 597037233, 1253490, 438491495, 383927229, 348915987, 270213822, 659637193, 121572526, 439308598, 956950675, 182997059, 543564241, 416640645, 963245065, 120805278, 602403709, 751118608, 232868269, 967076615, 303760989, 963744205, 483762681, 714566879, 249844387, 967301203, 121533022, 173534810, 924948108, 23115684, 204503280, 689877536, 577238466, 291860468, 364110721, 894053981, 535662030, 687738242, 351387870, 239733208, 919563012, 351181369, 854385366, 527299716, 380170568, 154063459, 16250013, 385313238, 620445227, 347477450, 294600438, 149666332, 934544422, 530343938, 229559987, 320684072, 471431174, 771536056, 467021111, 474014384, 383660108, 117813690, 206262236, 588464004, 834122700, 869784968, 520256984, 797257253, 62929844, 312485086, 60133028, 573082857, 961228181, 281469050, 628843197, 429330412, 162744004, 646175539, 1119615, 459335628, 629751548, 844476576, 212719391, 118526553, 69086729, 7888637, 258349798, 182878265, 97088305, 736633711, 229899339, 657544631, 716401531, 28103941, 822945063, 781537595, 477796317, 751840789, 264327691, 554124683, 693636310, 815951077, 737246147, 486654437, 14564934, 508572660, 427849, 93341145, 109271727, 191201461, 964702303, 596816148, 443996292, 136131341, 487972056, 91204483, 265979813, 502920362, 810652210, 478113065, 810938198, 951164190, 967510479, 788860727, 650928434, 79677902, 545421232, 181472052, 14673997, 914766164, 13900403, 224019226, 67467365, 60795978, 518290825, 717627223, 975622168, 950805529, 800048952, 781975241, 435302116, 920976938, 222344303, 92228384, 357481763, 763469708, 551757242, 529802867, 127801267, 873137987, 57456621, 439295858, 861592037, 584621490, 558554354, 817920676, 681672740, 453879759, 305645955, 891782738, 216672678, 942240725, 705006341, 99312050, 266519177, 186216016, 564809469, 736787018, 509886679, 869468409, 267862731, 365288612, 940687816, 190167702, 803221656, 294247907, 816607721, 360314708, 816463969, 242280715, 103002439, 647240311, 723793354, 708057443, 918857346, 872745297, 737529797, 213492298, 401841981, 197781877, 18314148, 561996337, 596215117, 269788807, 915492200, 629275831, 438737245, 641655389, 129473076, 547024393, 289350393, 284817603, 480810091, 344470024, 967164418, 155882593, 240184933, 463033732, 792336817, 672727114, 741774492, 936871003, 799531606, 577861735, 988296746, 569271364, 107811251, 706334064, 700896456, 856812505, 483560612, 741885122, 842665023, 805590109, 680494655, 190087409, 22835001, 408769441, 785450835, 655472403, 157232143, 424900489, 1428815, 883888354, 232631142, 163571550, 827219382, 805423309, 400736232, 471821397, 678960641, 14946273, 297619210, 753401614, 696104761, 973608492, 618241016, 916517496, 246092140, 986113339, 449436269, 796051684, 523098985, 650155079, 968339192, 397789538, 747677460, 360278724, 232528717, 859384884, 780813321, 284468717, 59629660, 272186618, 47149208, 86189919, 489326197, 142622130, 528676838, 889214301, 124532962, 73805032, 268027056, 564189199, 643179526, 346409773, 704099365, 703682192, 883495791, 638565274, 506041885, 904792883, 950423991, 25595872, 296701822, 160345722, 799298124, 820023780, 64056660, 523187286, 839651709, 635754596, 377451821, 933403465, 124438534, 647769566, 894993535, 255206134, 509238907, 801489120, 502358555, 893148781, 340278576, 253716224, 884287930, 430536841, 56703288, 134109891, 611372364, 606526574, 514880499, 281196454, 39118238, 496620646, 73564383, 2045781, 845082077, 267046152, 366291041, 277249272, 644064829, 648372340, 24754877, 422260005, 72568596, 830676766, 673380800, 448823683, 340912770, 336532722, 35338522, 842824103, 901938081, 509822792, 579791271, 709427380, 868948900, 997416744, 380050961, 789382894, 537263910, 281279593, 519139875, 356376464, 47450668, 802137427, 584325278, 391760856, 631574623, 163631814, 111067538, 395021283, 839469472, 826685366, 875327254, 221831810, 173890589, 569934909, 492428303, 108646901, 776875922, 972082680, 162499885, 307668300, 67677843, 785210953, 13668041, 946792292, 654377006, 232857064, 601398917, 574414818, 48402038, 634501201, 278974905, 811584033, 182486049, 280613626, 474327105, 695373979, 410639160, 71958394, 697710470, 361348190, 65335366, 444062089, 283877944, 458743115, 771705543, 889517223, 730069642, 221797191, 825303326, 391107255, 806963926, 449451927, 56089637, 909463275, 651971216, 353644255, 94916656, 714005232, 364392261, 547519371, 983798782, 483362481, 199700172, 359032329, 550141309, 975703808, 666386277, 737548896, 584729075, 574642655, 860877794, 429374975, 173541631, 214964176, 935835921, 722077452, 718178829, 359127597, 515885040, 296305929, 751014390, 114983681, 896003398, 347907595, 395202565, 624300244, 475798849, 172054989, 405255293, 534357038, 146301815, 817211577, 796278904, 62082228, 532529227, 437232494, 153775651, 531052977, 897452785, 477712354, 240784643, 470012081, 910541507, 567847581, 118037769, 22060264, 699421501, 712455587, 993185775, 402240159, 857590714, 307532047, 853741297, 381254894, 88270740, 407461014, 94254701, 701052201, 123255635, 325947910, 732068367, 126017248, 556424519, 645579305, 377571373, 774828982, 328673431, 355901675, 268234906, 854625516, 304196401, 116349503, 870905463, 473340326, 636759474, 850205857, 787689375, 874006619, 782105927, 758929485, 904557879, 539197176, 80517907, 600289406, 366794950, 516315995, 350075455, 59845417, 325469171, 507518298, 295261308, 186598941, 348053987, 706289713, 808114633, 317197685, 493548718, 644216752, 979690156, 135155851, 290996686, 245488300, 75736133, 196225048, 588907915, 63930052, 294235470, 296867975, 545539171, 839390727, 48633409, 538805545, 454578993, 708262224, 666406987, 581105933, 952684106, 915659543, 837928462, 866632693, 148752556, 877170998, 185555570, 187368999, 691548607, 844878054, 841017640, 63452495, 793588850, 545058075, 302068802, 174602921, 424715309, 722757680, 591693806, 209407808, 740141027, 652418247, 21205979, 195824769, 442702605, 872376274, 77017008, 323605836, 631443149, 623278404, 227262090, 43130591, 913592143, 217789247, 279647811, 938394328, 527793598, 595053355, 724938793, 217326614, 403445015, 25532656, 592239841, 927309624, 570210233, 826108064, 722287683, 324254064, 317202445, 131103538, 896663107, 590619181, 98501759, 435957877, 407867899, 785324371, 826888191, 373490561, 928187274, 65121529, 768450279, 662175583, 972732993, 689754817, 733883467, 572433702, 999865442, 457517042, 408951853, 997820839, 818342470, 198420266, 50481007, 102547840, 81100718, 201101185, 776008358, 827774931, 94774976, 537896954, 361166401, 645808838, 972739634, 529808788, 584756322, 93751597, 337896177, 35927701, 843934946, 534021463, 782345690, 268485641, 312800497, 956899137, 595545090, 378742831, 150299769, 604479316, 6111559, 242140679, 986658238, 857028141, 470103712, 521246039, 1206572, 170978346, 692057147, 450947426, 911033537, 445478876, 394709266, 532247027, 280375281, 820487896, 105207321, 937025196, 927519840, 830234939, 788048149, 875723770, 99053303, 978528135, 850350575, 691196852, 900166361, 360710102, 268331617, 516468232, 238024446, 723010707, 717719779, 800802601, 385452281, 892466786, 796627760, 462173604, 469222129, 596482971, 815980398, 448828491, 374170018, 579274025, 585309314, 529025641, 21484839, 754656326, 598517323, 765241878, 668590316, 150197314, 847436458, 347942147, 474974548, 882735152, 536163114, 869089128, 767671456, 803171036, 421485242, 59612141, 538673456, 964244387, 93996827, 222825415, 665001341, 798897502, 663990172, 650350901, 53664039, 516894341, 257510729, 247765140, 589927162, 503307224, 534305866, 951876540, 315923406, 492888505, 410295720, 561554848, 797688707, 837240079, 168327000, 107309626, 22353151, 786902000, 898255547, 296648999, 560934694, 694211945, 96477912, 3669769, 473702283, 356673289, 957604259, 799464580, 836732947, 835214815, 718137918, 19374895, 635815665, 555800761, 597287525, 899222272, 189391537, 475193476, 616732875, 37621319, 121489398, 867910102, 20855178, 142429321, 745269930, 621897377, 650559613, 463225670, 950836285, 578835712, 535313730, 307526338, 47527675, 3533005, 632764154, 893819029, 66578746, 770487183, 47130177, 120271116, 938492701, 483647907, 956885313, 383716011, 941866472, 192931995, 787960595, 923447369, 382616089, 861500718, 281158144, 661084841, 349218552, 188361441, 75102744, 324498333, 846920045, 28845621, 224005854, 958707590, 912793218, 785835703, 725639442, 184237717, 774244317, 548255498, 693332044, 628808591, 959636655, 958311127, 939146175, 708886525, 513165677, 313436627, 494736671, 526812940, 678015008, 460257599, 836010513, 154357106, 625912439, 421229738, 55951323, 573392089, 57061417, 389255502, 686906384, 498788030, 814180755, 252948531, 939804987, 752303815, 53909635, 775868636, 830440088, 232400900, 338868567, 676319977, 282397759, 521012445, 152163299, 506001548, 607371717, 378989209, 432250053, 36286821, 769296018, 504260135, 543742730, 129934092, 367419982, 789960940, 229222175, 42189780, 456385978, 504365754, 624204216, 714073216, 536217608, 671368979, 547946196, 323745992, 985082505, 912950206, 258641034, 507608191, 646352877, 58521971, 283732034, 212896505, 71680601, 24625836, 809686630, 843588491, 483107929, 775095540, 482836543, 315858264, 164119128, 258079306, 842883635, 52923925, 746395361, 993155668, 907931041, 238917278, 943025427, 681671456, 596418830, 743289852, 809012756, 24571235, 631716840, 764151947, 433462061, 880706492, 357441226, 413850113, 138736616, 500693300, 697393163, 821093756, 626242223, 787819966, 381064479, 509586938, 228579830, 821679743, 730894938, 555761402, 770421453, 716434546, 918122412, 334242765, 401664382, 623323548, 465254441, 162447404, 932815885, 965382344, 891555791, 255082036, 375969108, 950636069, 983189641, 378173311, 52573390, 650142418, 982256994, 443682143, 247643659, 679756860, 410616901, 68319351, 107362669, 523594593, 388593708, 708757452, 373955785, 969164217, 72812237, 249985093, 87168275, 401718756, 475620170, 189564414, 19574942, 56060636, 557088232, 123852003, 101680522, 512327747, 470773045, 804028110, 905074534, 817847144, 78907144, 287001307, 523101522, 596144520, 940176675, 451492945, 729231384, 168334691, 378996733, 697557519, 897990902, 57479189, 980603873, 830969557, 56643110, 653899069, 973536564, 65548762, 687267076, 999555960, 140811332, 96759756, 990085874, 536829929, 530427414, 301363726, 550814368, 211031293, 514040843, 668255735, 464715234, 914374478, 568594562, 547697425, 142381245, 664095624, 542034533, 599260227, 208787039, 430478178, 1901043, 957133817, 619144063, 667293697, 152737069, 558835375, 998240327, 20919229, 278293823, 941888758, 849707178, 547130287, 12315257, 564719416, 5808845, 346715048, 589804000, 831878458, 11837854, 989265559, 356432357, 247832014, 763731429, 617252076, 115836420, 608405494, 647909382, 119666521, 103124803, 374421701, 503951735, 59475368, 972498929, 468596447, 90810908, 55216537, 362317252, 156541955, 373968315, 559509132, 765496655, 903105387, 165225030, 446305479, 448484195, 990066521, 923117455, 153204165, 129088537, 470425245, 434417803, 624855229, 303074898, 511174627, 305991001, 733317651, 234554084, 43796977, 973811833, 26466208, 611419446, 111760345, 893573557, 806935792, 948601341, 47468969, 554075070, 181127368, 470669046, 64051768, 921808246, 263802239, 994506385, 793176606, 18532048, 817381537, 16329382, 448615304, 680720897, 45121596, 318284576, 584030794, 399563773, 291830076, 312555357, 713522538, 408590852, 225124363, 854616821, 981945637, 309600402, 606889734, 5637693, 18304272, 168819764, 66093062, 170405242, 992278358, 687257285, 695591104, 224631768, 741114099, 934834771, 444657592, 265715821, 163809508, 268613978, 232883504, 425960621, 880840291, 414662471, 544746236, 971863892, 468782179, 923624547, 87241799, 859167687, 374387972, 405822268, 482789304, 877175890, 528020272, 95717776, 515066666, 5661940, 728640439, 754690237, 92923743, 539575692, 310493127, 814579501, 124055270, 315368293, 864703032, 629068724, 380745558, 365623199, 5827209, 427110588, 241200957, 540910306, 116043043, 269590632, 749484381, 376140340, 978885863, 417716400, 828586745, 425629647, 464560992, 562002956, 91299940, 805193554, 497298607, 39772937, 552867122, 290224033, 210945804, 550028335, 81171184, 728936463, 754067963, 437610537, 590497958, 223035169, 45404270, 148791411, 394387547, 143604048, 86414520, 815029160, 667768656, 616656901, 208352710, 711498025, 770850644, 54747174, 762624405, 676068853, 341217678, 701455687, 624789989, 811229164, 554900350, 267872379, 553483722, 893703499, 136444788, 732527786, 859762273, 618750479, 841084963, 893545502, 90176780, 973442234, 178366420, 256522328, 893417992, 216331323, 305403837, 932555406, 803103063, 932578986, 541075978, 781680725, 38275944, 803971252, 866787178, 380875875, 32981102, 105014563, 931474280, 417744106, 188954433, 903124332, 455674192, 498990554, 394592099, 66627341, 6180776, 980577504, 278297854, 988303797, 403442988, 806614674, 225413154, 929659053, 595084761, 522213835, 253603207, 120083210, 690667857, 101368480, 968445519, 116441793, 638573728, 413233316, 121160630, 425559558, 732023072, 208854584, 517394750, 727760999, 218542663, 45665071, 641469519, 915925611, 23508259, 897908457, 687378138, 696391798, 628519267, 278306633, 707034941, 598544185, 467482528, 273382676, 213726009, 226608443, 510107210, 491994627, 29441924, 295410470, 305374166, 595180995, 641685156, 644145150, 699091218, 940532453, 766590666, 895365139, 518178338, 23299416, 106405403, 571381207, 582292521, 380052160, 856572264, 322131608, 819296652, 849386644, 904120492, 442231527, 663290319, 783364802, 334971974, 916515126, 880400578, 420519342, 354143891, 825610063, 96228593, 782778425, 36057410, 807755811, 612015380, 168865563, 538670235, 75791290, 34835301, 278086492, 458908914, 780371304, 226840985, 509261940, 747294759, 895321485, 893521884, 199714389, 776500141, 180498837, 575770756, 455149403, 99963456, 305037795, 600945257, 740223827, 362646136, 331932108, 892767685, 944982135, 621489854, 456312081, 938661908, 808181523, 302408532, 53948291, 918699047, 705208452, 118328474, 584609922, 3855995, 659137873, 767971462, 303070052, 170198304, 943754754, 819368007, 988419637, 57256373, 740101435, 145357089, 355409283, 507552156, 932349910, 731760110, 921676800, 137195679, 936303874, 625954583, 968999469, 790034376, 957452455, 313446667, 590817412, 852159993, 699214507, 224273411, 109146919, 801889664, 495244906, 134854579, 268016249, 707928762, 819793825, 475929011, 863787009, 130389973, 209095520, 871139387, 459356463, 994895502, 284440683, 86090192, 814313986, 98739619, 862607429, 409458903, 865901953, 779129574, 829740389, 184898970, 565261835, 522306288, 103760875, 800628288, 448238440, 37138864, 23593016, 190762927, 15701713, 464027619, 455132617, 604907393, 970608805, 61293634, 53928008, 431394516, 310196710, 933826028, 467232135, 667350424, 335035604, 515855097, 697867277, 54984315, 391983482, 328395586, 251145225, 863794634, 97565404, 971729905, 763563013, 354048014, 757198833, 765214887, 885890351, 648595090, 690199291, 107214863, 163217862, 529383258, 811417026, 819210766, 659196905, 369331536, 108977903, 349553862, 790414061, 396697274, 363325450, 327305319, 559471324, 871221532, 477785782, 354161149, 990217719, 348837620, 309611724, 862242079, 397962406, 142961948, 244509781, 624851695, 996861382, 875256683, 545148143, 225646399, 740060257, 353713758, 640618767, 260624143, 754822791, 98652192, 694525354, 121614204, 11612764, 870386523, 86642858, 832780632, 304804871, 357382015, 794524990, 969326746, 516213812, 607155279, 182283448, 318970225, 939755489, 874532114, 999697860, 997309426, 472557058, 443187259, 713469498, 425777103, 95177149, 998924688, 626812254, 397060259, 919898708, 521501046, 129626112, 156186722, 574295788, 250002624, 340666707, 749206106, 495414499, 78020226, 772290034, 787707334, 653473077, 797286807, 251895784, 770264888, 855920456, 710132820, 500385234, 629100460, 265559566, 972580306, 933347892, 606484099, 45443317, 85089213, 892085992, 884950211, 24938107, 993149547, 556390451, 325459652, 801558409, 178116387, 565294918, 454566099, 814792580, 315151493, 783637850, 396020517, 773893710, 239568126, 235693699, 442755467, 240987976, 468477054, 994358940, 235162395, 976184102, 632357929, 519509068, 435334498, 873652813, 728316272, 855715466, 928639210, 427797531, 73789579, 659752264, 49023225, 164149389, 176635802, 154364457, 825568255, 809479909, 149718931, 320071960, 855633415, 210674953, 484127433, 805383942, 233877307, 448852045, 733049424, 187782139, 356271770, 565597010, 876775324, 907545382, 90001322, 667967532, 475011002, 806197273, 338646026, 608724463, 987540658, 42466771, 553000296, 72381452, 737305182, 332861429, 160462848, 847383672, 576302693, 47861800, 162601912, 322811093, 215950220, 65428160, 752861773, 682082974, 710425236, 602859585, 438822725, 393232565, 682956926, 747500370, 994673642, 617979877, 271339811, 247224764, 752096724, 876430953, 11899254, 465454672, 866059624, 968398668, 579665242, 27146612, 749763940, 865545682, 711405086, 450848881, 579977880, 487633244, 106813059, 697545030, 518372418, 911343857, 757714474, 250814709, 950415578, 310473690, 651018128, 673967075, 742411343, 628973523, 898336676, 612025879, 719256045, 656208550, 916494597, 854256865, 372208696, 612403430, 349840234, 881576298, 110930348, 89378906, 38080217, 619104723, 152243846, 824406728, 673649884, 654093757, 883207414, 183072448, 493003196, 122022724, 641997183, 134169783, 734773893, 926013012, 351364105, 731673433, 279192243, 148658601, 545178716, 427747991, 906492413, 977043108, 356972133, 107563071, 261037535, 359183435, 591148574, 345368609, 820043677, 931106836, 872035820, 102484111, 581070439, 643260451, 126106997, 879966982, 811595632, 256410725, 90947920, 750895360, 77322771, 638969439, 841730416, 163294853, 956912894, 587097955, 116166183, 8845222, 440387449, 803739267, 676661658, 237026484, 482237103, 593147314, 721400219, 729100504, 141805034, 91438899, 412904983, 928556719, 504019727, 408586119, 369980598, 679073549, 617381323, 725530303, 424363395, 428562168, 820393061, 739888336, 35670799, 602047458, 319945731, 449257369, 462481716, 497233695, 41456287, 723103253, 135241060, 165572223, 773659773, 934536318, 949499478, 567455091, 927169223, 285706177, 607604309, 369397231, 197192979, 95065252, 427894496, 933402591, 99439073, 622663082, 265423967, 738336812, 713870421, 770580313, 164850171, 227809813, 59684670, 965559985, 62469515, 833373235, 591870749, 460458609, 948232831, 445681207, 364622836, 966319561, 925440557, 592067802, 310096430, 812746709, 533933634, 308459228, 431276641, 170159199, 148512880, 590766228, 903525579, 981163176, 899634160, 583807110, 842685873, 563290202, 444401100, 872117754, 524134995, 204376238, 560771833, 956956078, 534218966, 437867466, 191144989, 736283146, 541608636, 424814238, 460842328, 728795300, 902746668, 360152615, 120264116, 386646222, 64865594, 252625082, 779729158, 887621412, 646379539, 195156464, 570302675, 614773064, 580517378, 120330820, 228415631, 168082007, 403320616, 944311666, 496559196, 810202606, 744561256, 204373272, 237210500, 297606078, 240111274, 274250, 268460726, 546111470, 556372357, 427031701, 764565458, 630182628, 573463013, 839694916, 533925831, 138355152, 97742583, 786035307, 869666321, 90990689, 619823506, 561301354, 716913445, 483539151, 305094395, 645209915, 632477715, 733031609, 725623304, 528253606, 813830704, 16768231, 522858685, 381749510, 97177616, 924251166, 773983254, 429403313, 588027334, 713054238, 503776138, 209445811, 593460990, 248284608, 351372515, 383774208, 244384301, 799863342, 29943714, 74552905, 442262534, 59691909, 487342671, 368484759, 980432440, 306936262, 166047338, 770029420, 244363679, 805007873, 674466862, 727761333, 766449047, 507831964, 274375128, 640245116, 980616243, 465923433, 777151878, 655725993, 655471391, 437059324, 230382405, 61325531, 466983513, 955440324, 661701336, 712604877, 442908169, 940248174, 568802928, 439746442, 791693494, 676169829, 276783621, 715847073, 893666447, 737403414, 313460699, 555075596, 69913114, 616707631, 501219349, 807284493, 355431425, 904562860, 814317461, 639973534, 798508943, 889541065, 95241704, 17294787, 908332215, 235138517, 221730952, 720249237, 122031642, 652243151, 909065723, 208847459, 75316948, 551095230, 326971053, 973445060, 11420993, 664214616, 779976382, 675577048, 900308200, 420837649, 319648840, 125576596, 998699406, 9798110, 244589798, 358273953, 116893548, 673021657, 462822565, 87016896, 342194587, 602890161, 682388546, 769619208, 95230424, 394778262, 111849353, 202211103, 769467527, 310554035, 565768153, 520405489, 185143915, 403350515, 411310737, 38190128, 219194604, 487625023, 247453768, 684373216, 318016633, 610994322, 664290343, 859866901, 351328936, 196507651, 189360664, 953111028, 149776873, 217424809, 775799505, 210286088, 875544883, 469213261, 82973865, 623156242, 841984025, 992049850, 348107512, 306443657, 623812872, 10623407, 779260107, 325434507, 663258218, 284015252, 549239098, 560984020, 654938147, 899382267, 888436538, 19305141, 74940696, 148363523, 807447417, 973558635, 476532136, 865487040, 272407631, 655630501, 52061733, 795625494, 513146800, 374959316, 810153941, 975591313, 480182889, 898378300, 166782095, 148644558, 974607307, 323486395, 854429988, 190236779, 599218310, 893598001, 845383157, 214414484, 445990978, 382139423, 806863152, 495051380, 884115121, 407334821, 766286808, 405103311, 411703362, 370973434, 611024242, 33210016, 496927953, 593192723, 933782305, 893206985, 870062899, 34228923, 335732358, 267334020, 829588831, 366730218, 499012303, 828413860, 389631637, 855865996, 441944288, 694260849, 9180457, 133293314, 530796362, 994451356, 811035272, 87596036, 228239287, 66121526, 76999727, 975853232, 661592784, 7157673, 754303622, 642612073, 857950145, 158426810, 171571850, 66366491, 361225197, 729127412, 194358394, 348624339, 47520307, 394691079, 580799653, 812312702, 175124540, 950829891, 826579517, 359195428, 730778419, 108575628, 427459159, 111268217, 483725758, 265700593, 630927720, 58191940, 364551355, 374740417, 261047376, 516868920, 302031156, 975663522, 528730608, 964206454, 698225241, 53863366, 28561846, 127681440, 321266752, 192787526, 358300595, 904984245, 463892416, 639329024, 174737038, 84936967, 389410408, 580238546, 26479574, 451503345, 315852356, 514982652, 334695497, 470942614, 771942501, 693428024, 577652741, 453932381, 876546717, 223202380, 211300658, 587177273, 26273627, 945425172, 323120808, 49182317, 673038725, 662343241, 58758502, 468497766, 404767326, 975931226, 789879238, 937961440, 433052760, 227779378, 854779405, 945841174, 885989513, 268143286, 254945316, 856766229, 689107275, 433854672, 69822338, 602346551, 230945224, 618184599, 832598984, 451112799, 424790354, 487632330, 582629664, 952196338, 197506451, 131475977, 993122146, 625633681, 68373577, 846339868, 756508912, 297098605, 220073018, 276928389, 107184998, 969172180, 202769283, 170878744, 140103125, 64413140, 719202931, 283927707, 976564097, 559368709, 215549418, 892477546, 240986347, 826672270, 726825377, 526767845, 426055934, 914350974, 33342675, 991080260, 80139223, 212122515, 539480169, 211517330, 649681681, 673933201, 804130678, 538082172, 719925797, 240423191, 659825404, 183897574, 662232042, 504064396, 587381503, 743541302, 981660877, 363267644, 78876861, 369112785, 337625744, 804111731, 561043876, 581497287, 699330723, 595662853, 291864412, 430704250, 775023669, 744870078, 992671369, 813968163, 293509551, 878280305, 880513372, 647872909, 573117395, 395240038, 766261535, 961532976, 941591900, 401203607, 712549829, 249369013, 873792874, 801483222, 329398569, 65174936, 659771060, 692707195, 846411902, 312976913, 224085188, 505354458, 701948221, 742026269, 432627585, 577936443, 463347295, 961595081, 637712385, 595582740, 195291006, 124569602, 626435158, 950685648, 725371946, 502356972, 227215932, 282530161, 613603139, 830382434, 945729511, 856444413, 159320705, 651969654, 962061199, 403645629, 476790246, 348714860, 719965958, 762314695, 498534288, 110256931, 801717234, 255055712, 461639814, 226102296, 179450993, 55316122, 557999971, 933291484, 356779828, 450488582, 180199575, 166409116, 703691314, 787965127, 573472191, 991889950, 710490872, 261889876, 203158524, 723839812, 393684365, 76843307, 877287641, 530174659, 921573337, 771784570, 357938435, 270958405, 832015711, 697545459, 955252552, 657570840, 275434815, 884994725, 609012138, 689543558, 245758129, 702420967, 837070213, 362055582, 14159338, 734897836, 662102462, 33082345, 811971998, 793587768, 984595443, 841202834, 810316703, 100859587, 393351803, 128488539, 635757568, 494933873, 661214914, 634600896, 581836243, 687121779, 281685145, 551289616, 892917001, 973541694, 609710351, 263849791, 663630335, 321850502, 517992051, 755626652, 176453367, 850323963, 145827465, 777307227, 727876468, 856642971, 73181940, 551625965, 827294043, 264471380, 929238631, 404367107, 607926156, 718043112, 290001864, 330278560, 533562017, 154162929, 4110593, 6018653, 383713095, 989679532, 47469540, 862771313, 969167162, 620068356, 830536761, 936047463, 943659483, 954566180, 566788898, 334322320, 227302308, 814518089, 211631757, 892691351, 321579696, 891497258, 986059241, 73004084, 375225753, 665495412, 41523120, 560564313, 61311013, 397725207, 876194170, 192604656, 296519260, 602629913, 460759326, 241280322, 134692821, 575624863, 382686863, 626687363, 65052012, 211056330, 746314798, 672057706, 172250570, 667873757, 190050810, 394971825, 33908734, 228474483, 364899295, 888880283, 603979224, 908489409, 709707775, 361674213, 918789844, 475457209, 458233649, 141163886, 141369088, 50798026, 63900555, 463178127, 476389833, 362003658, 275724540, 327453508, 632456207, 170221614, 287395486, 17817613, 628356326, 394643194, 645648841, 31312362, 127783830, 502361927, 256149444, 62089184, 871693780, 169421995, 207668740, 700306959, 734222937, 797251613, 213076186, 863501582, 350855761, 38421872, 510736669, 817707483, 381277079, 872128627, 65206971, 161189445, 15431851, 498573302, 358857210, 323228059, 669487198, 682032776, 858634776, 392272879, 501685419, 986109947, 374558482, 804011978, 269230248, 962692090, 45842300, 141551052, 871764785, 652398618, 32393840, 634371060, 349374746, 147060487, 453166990, 762703224, 824393718, 776318219, 648417761, 988554891, 939775431, 361529110, 933740706, 289373728, 227234039, 536528355, 41339786, 764442127, 233604481, 257266699, 381149365, 729158449, 522486578, 546019307, 146287852, 930694116, 90008755, 424330431, 487445174, 572648134, 962840614, 494019937, 321825151, 355020886, 138633544, 275109357, 436280664, 592915588, 939632589, 912578005, 442127724, 72526311, 411577835, 395949900, 529004299, 447942720, 885525703, 937358782, 718151020, 9208171, 274479847, 439889477, 538973743, 949210202, 94432148, 156071740, 942306036, 759100257, 591148742, 230735595, 278776122, 725413435, 409225743, 476050567, 658824088, 442298973, 816794040, 743565699, 919839227, 788376774, 103745504, 318415091, 749420093, 275600838, 369300363, 163374543, 643770620, 907192686, 78989546, 41118799, 874561775, 48435351, 213572892, 780166819, 363991396, 144137356, 248528083, 236491112, 356743157, 845660075, 991256474, 318146952, 96593683, 103060001, 942914845, 123067998, 597920777, 769162210, 838221314, 104016786, 835219687, 350548880, 207584677, 964063259, 481716124, 261928649, 622664897, 291628851, 4070510, 126696335, 667869101, 23733622, 298421648, 993439682, 888172374, 806469111, 112276310, 750306965, 763977681, 700701189, 775420167, 568977404, 725713149, 334700146, 294821454, 740134296, 12467748, 527484894, 299892101, 34453278, 922337396, 551417214, 474082976, 894650308, 629637355, 527301238, 51987057, 634869252, 119642258, 538143231, 396625006, 479612167, 284813651, 308045758, 760574246, 321851894, 69874748, 981626676, 241441187, 395157513, 123725985, 456561299, 819607006, 488597475, 963084577, 626599924, 416875721, 920503144, 806638202, 44185495, 694641742, 426040986, 576822688, 587890609, 874085990, 245492986, 990588699, 902324428, 478166465, 630163117, 652322655, 691774702, 726041102, 997210045, 887434515, 925781915, 395284642, 467986985, 653984645, 160684134, 115042867, 984616555, 224037035, 235668566, 604594754, 301123944, 109995806, 803007829, 476109644, 960607613, 641402975, 496486832, 636084305, 234102648, 883875240, 156582557, 757602118, 712936604, 101899289, 898613904, 57455409, 398264593, 194457379, 3075162, 81109220, 89948470, 32539664, 603742698, 677356359, 542612475, 698202203, 319679279, 32178710, 124184170, 556471759, 415989399, 134821426, 654456179, 81524781, 472360352, 641340755, 337575578, 303948539, 227446907, 313849217, 659440278, 712740755, 156592784, 706675632, 652694438, 451049965, 560523017, 656146355, 601360187, 420886154, 411525674, 283151623, 118145294, 325909968, 168681856, 344136304, 777063399, 19395518, 942487837, 222120838, 148330985, 1537594, 990387959, 874543287, 118046944, 603772537, 483090057, 922081316, 130916018, 703568136, 941237073, 720371686, 425033383, 111652452, 768436390, 225904196, 262856765, 270263702, 933939341, 63977023, 678541383, 493201842, 65591572, 622650188, 626153602, 485340516, 768268355, 842940195, 286532127, 847767297, 679552179, 615095193, 108427237, 131794833, 424098449, 102032942, 178461411, 398451121, 250970009, 157981278, 890426906, 530615092, 778917995, 976838595, 32801313, 87015558, 524272063, 468666664, 629438017, 360710690, 484051057, 589142096, 621550759, 746941543, 65226776, 699283267, 845541591, 232467648, 340703355, 485821337, 966641417, 617579938, 911785189, 668269633, 601857977, 587109096, 157208720, 727643271, 376030472, 850263867, 759904130, 781907744, 656734045, 43406179, 543601073, 874228208, 83335087, 857667271, 634595907, 755801743, 991328532, 770772534, 51335257, 67987993, 569243021, 405090906, 811952624, 465160579, 313196346, 40954909, 267349697, 854908705, 84213508, 549029513, 593732381, 887617779, 318010086, 868207622, 546019321, 804252734, 839408917, 764936156, 366013232, 642739538, 206744394, 779517242, 196445227, 935776326, 596600096, 113749095, 449377795, 821590621, 234282385, 155750006, 3210504, 931484805, 265654853, 488383667, 408803783, 183277731, 66120858, 441697997, 716228403, 912055686, 953478742, 770747172, 618371798, 543004634, 216042791, 536738115, 292180719, 181669924, 147336032, 761055082, 708788867, 701926947, 604166552, 605781890, 305262933, 830270420, 840949796, 468953786, 305079982, 211407008, 183837544, 558340987, 244744720, 673333037, 32073969, 253008061, 153676706, 50024921, 868109893, 687985138, 800445637, 235856596, 843153286, 954207371, 372855950, 197660071, 17138960, 378403391, 714168818, 721730386, 860169708, 909692379, 312884099, 699313230, 523406877, 224698123, 522394758, 805721804, 399535228, 79351898, 793558593, 317956623, 469377347, 915767636, 322265569, 113567841, 882165768, 375418991, 375787698, 406264355, 754374381, 65736069, 513294537, 13915602, 311895837, 174364363, 551314634, 230115406, 17509191, 731640718, 184750965, 240936982, 608459212, 759556139, 386427072, 939941306, 1084596, 944622295, 888105818, 683429213, 467941196, 167555162, 800811412, 943520634, 685245164, 365344722, 625947429, 590033489, 288294686, 426303363, 760000717, 686610972, 983654797, 30223327, 172279920, 963468190, 988195975, 930101545, 447318843, 107940831, 279717184, 768256643, 359825952, 124638361, 313620877, 715856057, 918988234, 558561981, 989231476, 21003731, 747581316, 476059631, 513294160, 366960105, 522654444, 92677193, 306088597, 841367108, 139531625, 787389549, 799651660, 550269972, 88698557, 593197782, 232982813, 689678434, 986844354, 761831103, 126982039, 33465291, 460509975, 368177552, 937219458, 235033911, 720237139, 825279117, 190825576, 233886638, 71204959, 332110214, 589417586, 245733294, 898966545, 434155050, 894429496, 585259268, 316509982, 178786252, 624388191, 660786840, 767113303, 764543690, 788631982, 167750499, 742082530, 531415963, 213174695, 616996716, 334574013, 580504278, 199717139, 850009152, 841537564, 196654876, 80266104, 116741407, 667361367, 981984716, 976840858, 460754639, 937996385, 838440728, 214294784, 879479458, 809817791, 445464182, 150596300, 823856223, 448103373, 773219400, 974944955, 502792891, 352686926, 525624070, 619956052, 473238333, 253580407, 687413772, 818788556, 56760352, 209812276, 33792159, 333566025, 39078170, 898679936, 291796560, 888947360, 329867394, 755413328, 47219272, 658943141, 237915059, 615934050, 503022788, 956240610, 80616816, 962431806, 19549209, 460822167, 319645836, 362350400, 710827991, 86264545, 674413469, 295518697, 651762883, 910589985, 605286588, 973310188, 449044243, 519204052, 622339434, 655855127, 568395026, 972546951, 917275994, 740527326, 263374100, 520628329, 184557159, 258614287, 816946929, 447570458, 508861, 275081474, 291974591, 730087353, 851185258, 710364590, 311354896, 631130942, 961147529, 82739541, 961145646, 984697287, 718206659, 21764960, 54510538, 24519650, 721515678, 958759189, 957430601, 746631037, 609729141, 93658442, 360745944, 987356916, 292121280, 497821393, 824333194, 74286612, 313399709, 917396775, 295822238, 607511685, 889658547, 549139919, 708774626, 362549790, 973150238, 292092011, 947383079, 852676077, 160314994, 865491006, 671889161, 489158857, 605942765, 108322917, 18795017, 317117032, 428474051, 339761377, 691469075, 396274082, 309970246, 513596893, 857381369, 901433946, 176869187, 441183761, 209526799, 786822940, 859679505, 651239734, 790121296, 509212792, 438472130, 174189969, 903043816, 270602641, 354054956, 284536458, 429755216, 876290380, 206661418, 866409550, 64084268, 986880876, 953794047, 189532375, 542905201, 646572213, 427516189, 25482982, 883203732, 764534192, 347676473, 562783816, 845541065, 196815944, 588370287, 185936183, 348688018, 34943815, 165931412, 89741939, 76699180, 864208276, 2404070, 332217312, 945088076, 878169220, 524468853, 587817646, 972565213, 426902669, 25971855, 413641425, 560821069, 822281268, 44567671, 153763262, 356458470, 690319201, 415999535, 881209647, 48305157, 975762445, 920708188, 905282401, 577243441, 201592697, 684366277, 904052808, 896596240, 354975142, 131960987, 893244763, 83723961, 342350361, 196034410, 112495163, 948597001, 278089646, 105570022, 649957672, 481107234, 977707439, 895273007, 818563848, 509038466, 359768011, 63504892, 372846840, 527375253, 707243422, 689616871, 102383695, 698207106, 123651426, 948438160, 535497711, 131534098, 16658316, 403169530, 643566501, 161522635, 183850167, 352800487, 947019580, 299185716, 405296286, 867141854, 350771533, 870507931, 27009692, 973925489, 309578891, 494835714, 298561821, 160872588, 6862296, 113446258, 152857019, 956147144, 989695262, 336468124, 892508321, 174059518, 262175966, 662392475, 20747370, 397147732, 178690478, 431528937, 374329264, 963338409, 573516642, 352864060, 483298332, 401691709, 442975669, 461591058, 887727334, 185041345, 661306440, 863201774, 246063444, 329089016, 786956189, 117517976, 961495315, 286759501, 419145665, 913321646, 204035774, 19380998, 565439199, 490761667, 856236244, 13195176, 599609243, 441845076, 611677230, 933405833, 381525746, 822746530, 194403901, 667143271, 793103110, 468159389, 277666996, 997633658, 419910676, 546587783, 340123275, 88942993, 911635474, 306830386, 597275106, 216726959, 639616019, 892079684, 388053367, 729962713, 147117206, 716948108, 589977770, 55940031, 200666733, 748524309, 443198776, 347528534, 407249340, 499066939, 172348639, 457514235, 962178581, 470101229, 198321865, 922990170, 624953146, 552401725, 524837661, 864305256, 282422892, 255562397, 414153710, 721844924, 246288528, 129984255, 588884486, 679412175, 246368085, 653829215, 842883845, 120580762, 178617481, 861788961, 251478023, 449666290, 580073675, 700044777, 938011894, 163991800, 592823833, 71376831, 704025309, 695426386, 391098840, 807107018, 577911888, 50383105, 88784452, 494774456, 520254808, 25103493, 562961574, 69353142, 469096372, 718612190, 512938717, 675473213, 221263375, 800602198, 347838878, 635033361, 310918017, 396346634, 165230804, 310983013, 549187643, 417158682, 202973967, 13352410, 858661706, 651956804, 217227360, 416323479, 942154520, 79712880, 405875331, 456145960, 143486723, 289391373, 381298204, 902258301, 288874258, 148340326, 688795004, 325162635, 640047735, 156613373, 197560165, 737694642, 436223750, 33628984, 734415543, 189299067, 728080996, 391513459, 361945171, 351827650, 222919459, 139184834, 586243457, 986168753, 531487947, 644321099, 432079745, 868371871, 279178176, 39005609, 70001961, 478138480, 342461408, 873352067, 252095936, 231398461, 341674849, 826221847, 22720563, 539680857, 883796549, 115691161, 916712734, 790238066, 460243813, 171187443, 932370625, 183196236, 677091601, 595281894, 647352007, 469898729, 970737815, 574693367, 596676918, 593589709, 490349561, 349443365, 305312163, 548364821, 103120937, 868984703, 125904814, 661716466, 559368625, 40960031, 479119670, 496828400, 597814141, 41281820, 770235948, 742927443, 846757222, 37518979, 339517917, 389103789, 442350892, 645847346, 534448774, 747233460, 177065154, 72186333, 548098688, 854027439, 425984264, 542699688, 602164789, 110406150, 48678539, 991060483, 738079760, 556553247, 124463927, 6024661, 354933786, 168241782, 705693286, 965254357, 864471863, 65635684, 865820111, 102583220, 230197041, 977914964, 694617178, 407424471, 9918295, 773169689, 189595968, 947766535, 574952795, 898693372, 512832757, 130715656, 269481036, 199067150, 86794194, 758819874, 786516855, 434603480, 813137386, 603134710, 184066083, 154548272, 332658552, 781428919, 98298478, 387036520, 124746509, 705276545, 251671563, 93305257, 96479509, 388404506, 508915714, 543479223, 192878197, 618531230, 636837678, 812512015, 708963024, 656659626, 236414500, 883671081, 253852993, 741945285, 905822784, 418918585, 883790402, 794789015, 278860852, 258177663, 111724771, 294270156, 70041412, 979531849, 692908281, 322837068, 659929806, 477939119, 668735400, 893669091, 53667357, 640574557, 114428629, 247205984, 564261738, 325492575, 184244529, 616829362, 799041771, 598895557, 543350205, 7308893, 874277818, 518837647, 539298296, 118357996, 272239214, 75005465, 51690737, 129643894, 479833642, 809478979, 7275918, 648278177, 453347504, 736870103, 818284380, 828669043, 955200610, 847389936, 664743906, 309029792, 483925235, 975891916, 267380949, 775640858, 836256493, 663624264, 305412531, 112949625, 928585716, 339686382, 766743636, 997271816, 424953165, 207370178, 447236056, 479228237, 605803283, 883591327, 994592584, 473559264, 691825390, 59026281, 917978763, 46972958, 425183058, 16064290, 1839961, 303342030, 656684479, 609323398, 433475501, 985528226, 101388875, 136302585, 591960578, 91508745, 184542045, 809719350, 22428967, 902867101, 638182620, 626640464, 793625058, 446718846, 318363922, 420538361, 642814064, 409262984, 383302368, 115376576, 474868455, 705817310, 670369963, 542155010, 430439664, 625850429, 111647532, 313083692, 283134903, 126900746, 467748257, 394877761, 552775839, 915791764, 613204921, 870150479, 214240138, 709655150, 442856918, 170094840, 773014055, 562719901, 509492555, 907295643, 714342542, 767339475, 707888996, 460529712, 474737587, 74092315, 187948792, 195903948, 298823132, 14508169, 516251583, 640486235, 510535706, 341073976, 110725252, 244465724, 720416993, 123562227, 560385561, 984851360, 227622481, 295240153, 7468945, 158115048, 100392990, 161449362, 752302130, 796605070, 463713576, 313737765, 266787460, 55065998, 884326617, 371613208, 790683251, 245621505, 540302462, 493947350, 146045611, 953972417, 850269168, 921316959, 782715586, 51088433, 814291941, 191519440, 766857391, 303594649, 418905653, 117909535, 600535368, 638574670, 860152644, 722121204, 531142523, 624268601, 519013605, 264059325, 182407573, 693056269, 80285468, 1737389, 546519070, 567843451, 780277723, 661325243, 888114650, 901522208, 804051424, 631855074, 781359457, 253006678, 207782284, 864062314, 130778504, 328706482, 914627015, 582085819, 412437047, 31803047, 534517838, 414404348, 908511268, 456893249, 428728872, 898523343, 475679013, 204427484, 81104282, 478073801, 354447944, 123137613, 638177091, 169491720, 708992949, 905194707, 990966759, 342395463, 245669038, 863598950, 100180736, 713872336, 767981252, 892657132, 894825963, 411924550, 318553443, 950671381, 468979341, 479178882, 247198005, 849653041, 315640554, 34744104, 714259221, 333482891, 553377415, 884112971, 337904252, 293232602, 744339277, 501599334, 662827172, 818971329, 518464449, 423765060, 987164669, 897329830, 67655249, 148540893, 995094076, 113235355, 628859291, 384527180, 327414052, 574277638, 28594680, 836820066, 689745064, 243695296, 512265434, 582224239, 687971437, 328485529, 375441535, 235441884, 784336109, 469845337, 58623229, 626581982, 334261131, 808435983, 340514423, 379174361, 457007090, 210508262, 782012683, 665538916, 228001136, 596333185, 833707316, 798250577, 567287628, 713686503, 208167258, 717156530, 754127471, 216674800, 104769787, 270623803, 277991236, 702484016, 674518682, 687690477, 47069009, 37700967, 170492248, 416735805, 143321016, 223895772, 566505207, 325457559, 157264779, 317052570, 73555058, 410542354, 385035658, 118598331, 806283812, 524884184, 828194775, 854201696, 285840435, 904903100, 798593583, 314427535, 202681467, 584537486, 365523295, 691178343, 783458235, 14843163, 198180313, 133694499, 210156545, 606632511, 511482713, 354103696, 757610402, 637722934, 272726227, 572900790, 577424048, 280206110, 12667742, 338940814, 952852312, 720219729, 332788617, 756336225, 447831344, 221190641, 677641290, 944481419, 520405083, 795825933, 410999079, 838950675, 959402275, 81423067, 719029437, 633838321, 4521204, 300943182, 17618854, 724417773, 321728094, 984024927, 549965505, 874924742, 730380516, 487740261, 895489037, 652340342, 763627725, 791749494, 807605999, 982457621, 923625209, 338731152, 163598470, 255261741, 981964233, 641446452, 94909572, 954499064, 299765046, 214914337, 542674416, 852513444, 774861600, 285425989, 706220092, 332591414, 839715503, 79697283, 976689450, 667728307, 498686398, 139248714, 785642933, 665052546, 79560628, 562634815, 646971828, 398229790, 822233847, 11929900, 186400922, 977413936, 300020367, 382923752, 988735401, 694893501, 301107569, 783187651, 874905424, 568540401, 760001784, 8785451, 247690337, 318191557, 832311629, 106458031, 938522382, 380296744, 306935624, 950005363, 254457520, 507775044, 329123753, 474489568, 48507364, 76969129, 310096794, 231206787, 282709700, 83248443, 890306236, 152379635, 509694217, 817590825, 568249284, 639754916, 551779849, 951442277, 171415781, 161547905, 53227824, 792386849, 625639347, 757487106, 68501529, 233007063, 173496805, 332316700, 256668051, 456142286, 759686747, 239271298, 675190306, 974213838, 33277217, 646293016, 51864530, 94745922, 164680829, 103691299, 96208557, 595719825, 642168996, 781423156, 629312853, 812223087, 449391773, 299335997, 740367772, 409546146, 363028912, 405152424, 82331860, 636765150, 229979207, 620271031, 18047966, 164224670, 994080285, 41890240, 69086165, 456483257, 331292189, 373352562, 379986524, 826974395, 268034908, 796122517, 520859133, 887555405, 230634955, 443623324, 72530821, 727627208, 289469128, 192992419, 659499429, 624541158, 567719784, 175198602, 501873077, 223098318, 913787484, 662681588, 205985144, 855554851, 32179380, 249011372, 681976873, 354440247, 204862596, 374048620, 490138974, 735991251, 806215965, 970813983, 451408610, 629653976, 505911277, 670980493, 962313273, 983426225, 589965559, 512085283, 179513847, 970789895, 974407036, 871878168, 519407270, 213787136, 435312911, 957130814, 714462968, 367972902, 149862953, 308663127, 751112190, 390748270, 359604398, 363849558, 540688939, 662202220, 321865674, 474169642, 246018538, 123637757, 818303253, 94831753, 909951539, 832017920, 665494128, 518637182, 146436693, 332069927, 764619268, 51886526, 984183835, 213930736, 96984077, 484826595, 950144369, 872228620, 122262411, 382061242, 593413693, 598899431, 793829838, 388105672, 741172425, 127383832, 879865239, 308593665, 601092758, 901350943, 537798849, 316224106, 214628154, 977268237, 56953881, 356325375, 866389599, 416820206, 421884148, 461199847, 474122134, 464732399, 555846098, 26205593, 650281206, 861326745, 905219735, 131306342, 272711562, 461668834, 595131428, 740174807, 149604134, 203582280, 550924548, 617780248, 346973069, 52961673, 363304543, 960584750, 715409895, 377268815, 243432524, 910002725, 478143441, 145064986, 218402664, 160144795, 654899205, 765880285, 563593153, 246764202, 977761044, 412249894, 853998093, 922459685, 603405022, 473836407, 976134853, 575300962, 656718439, 207732642, 278964651, 207172482, 888351815, 92774363, 742391977, 112911605, 442788662, 986755823, 856015925, 328161999, 108748489, 265852700, 52714856, 440570772, 354597167, 567283979, 557799111, 375549545, 678821530, 82422050, 745534640, 758177795, 579039645, 722894917, 88168681, 353492563, 356037330, 875286433, 572494411, 625028197, 24519520, 32527634, 112322867, 24377161, 923539512, 352967150, 319343328, 218630822, 444908343, 24466634, 12872474, 531895132, 142281605, 709484004, 218268872, 88729105, 114835213, 859412747, 723170776, 265596085, 192651435, 662182362, 123220569, 803241393, 162651859, 524022653, 948733864, 439430586, 770455835, 833151389, 488002927, 570939124, 105028205, 937333404, 970239795, 818411408, 980843148, 82076745, 655012473, 124006612, 619341464, 148179593, 733386522, 295941216, 339738243, 616749417, 995095161, 474285884, 599799109, 537285966, 5674616, 315254972, 833300256, 986417228, 821498707, 873106118, 501076512, 254134857, 788570978, 567023142, 812418445, 134254381, 11306201, 884074756, 736647957, 977428484, 260979275, 133574657, 979267192, 961153790, 299940782, 946333588, 360463820, 164103371, 151769583, 855780972, 216995231, 892099773, 615799476, 769764290, 361163841, 396482055, 64155010, 271258829, 291877754, 604401366, 527642014, 966904110, 45135663, 47079232, 66521675, 392294054, 408670114, 955340396, 217764416, 832048501, 315708653, 215601094, 623923404, 72203508, 74424259, 538785543, 8663837, 288694100, 371031602, 271905879, 177311256, 317496554, 602747755, 356192056, 999788827, 513118911, 901673364, 426288494, 626642654, 311795627, 871488221, 307250822, 340508432, 483905311, 307001793, 570868533, 26331559, 777105696, 69909183, 783193663, 4000291, 720282550, 52663335, 849294804, 678107324, 687435018, 763603679, 543100949, 430095749, 531853263, 307852485, 752942231, 875694728, 963506531, 165332675, 600713028, 379539258, 412393491, 406957906, 70939284, 889088099, 752134401, 257817634, 232847111, 436105026, 776847771, 744770924, 769578186, 71887705, 303494083, 992142101, 360344634, 339887545, 429371150, 45515921, 710858848, 962091466, 552142829, 535274495, 914949069, 76326728, 27382066, 992076983, 343851264, 853878887, 167356651, 231402540, 225117688, 875682285, 830417784, 417554547, 749098485, 179828024, 237503278, 595608227, 802931343, 960180196, 955041070, 431707585, 124615021, 526166462, 3341267, 233955711, 533291858, 376385527, 880052435, 607441080, 182966682, 318276024, 450796394, 502364727, 58938279, 675688443, 95535238, 94718393, 635902325, 276742404, 198387753, 160582077, 815072989, 795188138, 127027051, 654435886, 681393657, 389609796, 976420598, 391413211, 596045079, 378748674, 766200807, 664143348, 82654450, 712949680, 331931774, 823969389, 490460618, 857970130, 764204150, 798359448, 550268754, 341089622, 513432899, 238590008, 547465205, 642712352, 273529, 985062952, 934294839, 351238064, 150900952, 244739175, 306328911, 178232013, 744870262, 314938808, 306433119, 157621755, 294349341, 450207990, 803486604, 17903521, 487786152, 357763808, 688313820, 388139770, 216308853, 616750365, 982506404, 222793233, 956283320, 154858886, 231081209, 449800229, 620738046, 118373372, 806262433, 264656499, 239424267, 998118673, 492699830, 48766658, 142141266, 464880063, 533754916, 956447145, 750410809, 61592775, 110237239, 299544244, 871566244, 550376516, 122946793, 837379588, 392224096, 789122814, 436405968, 7143430, 275116115, 360398980, 272814024, 597827958, 952703570, 716780835, 661687126, 581171204, 220754211, 558837649, 433336814, 900453224, 288576977, 954478224, 228278495, 75631727, 77339749, 935587771, 51404384, 918885028, 8108475, 862734306, 176693037, 621628979, 556957848, 852560884, 874412746, 95337731, 496267315, 529123285, 117632351, 970423716, 682018439, 948442434, 629373135, 688394323, 534681603, 947487052, 928097063, 320477208, 135847495, 882651011, 107351286, 233190436, 151531331, 606316850, 559986692, 588637630, 930445900, 534166368, 747650018, 499622913, 662347792, 460071957, 400123062, 962364885, 667399069, 928008246, 90893442, 293304471, 438232580, 10117799, 628768338, 133923333, 934271246, 182546504, 806582111, 232922673, 330062332, 688783102, 448905010, 42538542, 279512099, 432379341, 270251259, 952857288, 154181517, 873674553, 500620960, 467218138, 995042728, 107750979, 515722934, 346174346, 779946430, 833449361, 594470199, 784254466, 595280071, 651535659, 821466995, 77600910, 387885271, 908194951, 100116453, 914654756, 588393299, 131603507, 147337900, 633931297, 473286328, 715821694, 636911893, 413556217, 393208143, 303910982, 195748121, 155069852, 520849828, 551121447, 38393454, 505356437, 182901490, 142353067, 802113852, 459445111, 253961999, 365035644, 277418366, 464723584, 494713494, 676866901, 776909006, 923206193, 899029608, 508402507, 717140547, 292875250, 209600315, 52862936, 41350067, 501618274, 474191713, 655846053, 724994345, 833582004, 155905573, 277189735, 976198278, 377219535, 734863494, 212375756, 860970572, 37055864, 577310743, 492894920, 366296747, 30668241, 449621236, 428440838, 401419206, 481631646, 425840886, 945393505, 850806536, 967941893, 922219013, 37168747, 967095169, 682825279, 33634887, 607641989, 485258787, 179742935, 354821384, 360105444, 455011818, 968739812, 99263363, 73904606, 925979781, 849915628, 103765459, 171099714, 831011792, 108121515, 356607712, 491736069, 855901244, 778508202, 153456390, 140649779, 597343258, 296524403, 545755799, 391244037, 500401561, 244383636, 903192182, 910600366, 527355627, 656610707, 274938347, 641178184, 327495212, 975361050, 156387646, 940989615, 287656975, 144118176, 829558885, 346967708, 677306382, 751630059, 889494249, 343429418, 136331635, 582603196, 758157453, 583229983, 360367433, 758601460, 469573870, 10167408, 422506365, 104757020, 794446268, 544777325, 779624273, 451987742, 753809324, 797907294, 580802485, 848366827, 485502287, 507273975, 319208931, 231742457, 830483190, 455117382, 861888325, 98349212, 50106314, 587815285, 587950685, 485025927, 894158900, 808864345, 279953044, 38047190, 417741773, 262728592, 836760734, 367211265, 838822391, 408064560, 973983252, 900240155, 365485651, 632285314, 602100491, 198472204, 340046646, 730302950, 159920059, 540047837, 236723552, 465029703, 412573032, 527187841, 985246501, 168524348, 195798237, 705544668, 684571212, 792596451, 743910198, 413020186, 418387865, 580255666, 59437982, 82068165, 829979501, 947644459, 203809926, 118772326, 575352833, 118334362, 408188815, 37072805, 253578569, 272912291, 377039962, 880587369, 426442129, 482764823, 524412568, 431509526, 962578701, 905505021, 240279959, 14659523, 904218653, 900877879, 838285584, 435923024, 486296614, 869020704, 316000588, 331908377, 20217469, 98876626, 141466250, 975573779, 105347048, 482264665, 33990321, 723273598, 411491504, 146787578, 868425947, 57482667, 735792496, 948321622, 42620594, 58225935, 488275893, 148233138, 703915410, 482148489, 41510851, 236307056, 469523886, 721717406, 453143751, 795717820, 669826256, 438908863, 81347266, 514107720, 413916730, 459249818, 903244875, 933321714, 439366813, 64654852, 152357132, 347299586, 758383737, 634368986, 572705896, 861386064, 213503949, 787075935, 393554326, 781890798, 580310749, 148796190, 201394643, 233067502, 766153164, 56355506, 518442151, 768972020, 589759038, 923440187, 221820669, 365872712, 542966254, 624404284, 774889110, 601095189, 226301356, 9142249, 583744436, 652302562, 335273088, 634969744, 550458686, 577309446, 297124893, 910017728, 403414254, 308352826, 564110301, 599395876, 306087690, 20258045, 852076074, 570751314, 321625739, 68665361, 653713490, 936361915, 323142693, 51290479, 485160563, 951185255, 434922411, 409629921, 582325749, 530156803, 585906733, 851723745, 536746066, 922612799, 118210625, 957248213, 342452559, 602667871, 284557240, 385133705, 913771796, 551692407, 747708878, 218798798, 52470422, 453474531, 63446709, 63411891, 63685281, 245466989, 992241973, 166089120, 880597866, 408588910, 847676353, 671992541, 511918808, 711813433, 522939506, 191787067, 878163519, 610788407, 166874307, 140259662, 204313941, 28106585, 294509991, 429650063, 76043058, 252960694, 819975738, 697680603, 611722454, 467096332, 751678042, 859642611, 822480776, 430952964, 521732527, 72544686, 201960166, 340054889, 158564617, 505283454, 184214811, 733356253, 686612085, 54292760, 403899871, 941831863, 953288290, 962719879, 631529545, 403768198, 810638560, 361049370, 429128791, 275338804, 273372069, 140809006, 413728739, 177544468, 34951266, 420293984, 659025438, 326848194, 333934333, 347069743, 521967829, 398189093, 280311412, 788234106, 654787289, 444373203, 506032060, 185725937, 385927182, 334015967, 52615733, 583101600, 194972567, 467819286, 253677809, 593003482, 433197103, 786376470, 192860968, 15394493, 501509732, 38375084, 484910089, 724630254, 975556971, 396112407, 470554190, 80202950, 970335563, 202129477, 499417644, 815536070, 100190760, 999742470, 73751243, 37398270, 779683748, 988972673, 143892235, 910054003, 46992249, 180481957, 204073553, 566849535, 206534481, 468778549, 124188126, 897018429, 337822105, 864112480, 827027776, 47597832, 756124654, 702943727, 506896748, 507053319, 486562691, 198534995, 204602446, 846906669, 420901797, 724916454, 799691195, 202181331, 207261422, 329660989, 646997645, 811665255, 320058791, 104619375, 800279638, 268261853, 107071772, 215128380, 361289557, 472243927, 803585948, 660675810, 931541977, 401764522, 565372626, 661383953, 755492234, 897696113, 715217554, 245902933, 188340719, 765048833, 732200806, 739958923, 636193986, 787198757, 95524746, 796852803, 910663558, 760326891, 584221822, 945184772, 93362258, 14005747, 189293526, 692397039, 714674870, 89556867, 263533101, 215481576, 358593109, 354499204, 636457853, 901593886, 27120570, 11142581, 739175479, 191863411, 803562038, 629344959, 166921326, 479969626, 814221235, 327286230, 157144197, 83527609, 110318190, 120253910, 179014128, 213401456, 66327246, 787401906, 65619567, 234655400, 481120798, 732398136, 161882911, 516072273, 832643132, 724787412, 339511614, 410195345, 887006303, 173538822, 832961986, 730085639, 905757342, 21173715, 992312638, 690835792, 882165427, 293677541, 347595247, 299457711, 783195558, 667930662, 679021537, 180527831, 745976359, 824142787, 247970738, 372157247, 773783145, 23422384, 311467738, 588476487, 762098210, 389220929, 665504299, 211771523, 178711248, 913128624, 588741549, 975775552, 688906147, 468518758, 867726005, 12038593, 31562961, 471718631, 779053591, 538071029, 656449666, 898674634, 793842387, 19423262, 890623570, 185398705, 846538636, 40705904, 445334128, 36874394, 657972029, 616611767, 229895069, 655058861, 155090270, 241408806, 641957114, 726645926, 967902040, 983305458, 845026322, 324752474, 885748074, 389895033, 9669376, 428681072, 676138410, 801683954, 898200682, 866388853, 49284203, 990825503, 35741725, 475728051, 952365472, 409593399, 290039292, 656880875, 84505291, 672458895, 790683407, 93080402, 850470889, 617552878, 897397682, 616431017, 919271931, 538894576, 28566956, 639387051, 397480659, 888331808, 312516383, 712129676, 139094357, 925189146, 429828751, 669729148, 657455429, 44143137, 896419502, 373965432, 654395835, 522667826, 393589332, 287876558, 651339364, 828680821, 314498597, 144910474, 361388886, 948141017, 899042070, 604577387, 297048197, 700671202, 243720448, 222587948, 421418856, 427568080, 669262092, 94881694, 350564702, 816069148, 933921780, 787406109, 394279576, 247194716, 659840096, 963491497, 621926141, 942366846, 377839543, 904423135, 106961356, 877196550, 630280496, 328306029, 381912402, 259658267, 256524873, 14405468, 91643580, 692379638, 778066527, 343401228, 265240258, 890313044, 800722146, 764711705, 88369697, 528098498, 768397667, 13367371, 983321651, 305640149, 967903231, 204662940, 756849127, 386404985, 473020925, 13509173, 189775432, 83246022, 122585254, 309783836, 919737386, 251511120, 224937099, 649517015, 42791830, 846714461, 954366529, 328480025, 308171454, 834735999, 832990885, 716279439, 676745862, 834852009, 890280653, 869334953, 655241739, 778403030, 392085988, 728926556, 129185573, 555171776, 475758340, 828180676, 229343747, 545625292, 632710143, 214951555, 887768252, 180476872, 540305624, 488375293, 447961778, 897829630, 150266682, 935871494, 239897628, 36306920, 14787071, 137613306, 19047148, 167181446, 221686307, 926231605, 440085342, 708241065, 321713012, 700623013, 523542251, 269123659, 394643556, 408705072, 430388587, 173026158, 90373298, 742817204, 679707901, 916179928, 827473012, 830180200, 389508837, 726194344, 34322543, 60782569, 810967191, 296956110, 985551922, 802735228, 69099689, 861993337, 882544894, 3086387, 354689796, 637067784, 147299021, 323439936, 749598214, 64963473, 875874873, 260169214, 786704608, 261894718, 832429561, 754318611, 736660374, 115594129, 71586299, 378870353, 263657928, 15351768, 115135473, 763413863, 306155139, 922764812, 918217812, 193842385, 113220505, 283673234, 20446421, 16479967, 685827685, 117524362, 817386440, 717058666, 227736181, 634222817, 962294687, 241449362, 254390688, 412708733, 547966203, 442524448, 926032328, 256891420, 892134103, 479945158, 235592616, 347569648, 954914412, 515973257, 350763691, 638109141, 69620416, 839227397, 51302625, 449501182, 366481472, 832015107, 905697926, 676741743, 37441717, 811644502, 416274325, 789866577, 872878678, 726743340, 572104693, 828643521, 720840242, 947503774, 827075515, 550898106, 867141112, 679405518, 98209130, 957702403, 892647889, 588425572, 227007937, 763830442, 318240083, 58845407, 237942466, 393609077, 548918027, 593320301, 471151375, 782958204, 680266100, 849048920, 365677646, 536392314, 258833786, 522137945, 497522065, 157628999, 138290860, 222570880, 278588036, 754198935, 765300737, 243730127, 364842562, 689214696, 860588574, 23809147, 751837441, 383716938, 107467979, 102524014, 141604079, 22445434, 383708256, 454334769, 766131067, 512348531, 434643671, 635422439, 481936828, 340270682, 479822553, 387097373, 478628106, 136538298, 729873250, 989536834, 485814185, 839194198, 969893055, 4900737, 372276126, 391256330, 586272280, 322400955, 116257783, 201582517, 799154006, 794300225, 236835686, 279983815, 993477477, 369815430, 804647179, 892199865, 979192861, 324767845, 793631281, 994992220, 664601851, 815841973, 802152572, 481526271, 221601743, 503349374, 80012548, 962958858, 84624952, 97545324, 792969558, 869502280, 5952227, 12200442, 275611054, 79173264, 328296047, 894689272, 111856616, 73832169, 961291301, 579954169, 418718740, 247387610, 878376348, 368490908, 714899354, 228963972, 607773140, 245918092, 386527512, 558984436, 136381378, 997533886, 132702955, 467577010, 848031070, 100820775, 491987507, 282871800, 336610001, 620134615, 769068281, 501973455, 139295754, 264083146, 272601696, 430570829, 807093744, 219252454, 832278446, 950552888, 343405088, 545771506, 85628197, 756524483, 489444644, 87426885, 991414415, 718515819, 178071277, 832206183, 782271513, 748136731, 746048966, 977128489, 392663501, 611073025, 961012791, 281531197, 770616258, 131516578, 460010674, 181559960, 184901923, 140130222, 620508282, 280619199, 736895170, 913924541, 539355591, 632174008, 541178774, 632340676, 398202035, 600686647, 818558575, 486505624, 342993818, 847300612, 356669333, 526124381, 60567816, 666820815, 365779667, 123664146, 83567939, 462288019, 838231379, 783678923, 953912780, 874530275, 307029860, 634172780, 744553708, 988942517, 927420850, 521610862, 191596103, 264213125, 779301551, 588329793, 138105331, 712890588, 76568775, 92592673, 709013842, 849662506, 594870278, 156091065, 342054969, 655158962, 65059224, 293813930, 179844671, 795943374, 562903713, 792017900, 332165468, 800009698, 355719822, 141410014, 772197398, 29987170, 496971202, 782096921, 9511903, 973860547, 483125136, 20856925, 489468238, 901683957, 540086535, 218100136, 55992999, 473142471, 137700979, 915020229, 484106322, 762566259, 688489059, 804832718, 501763064, 948104876, 869080139, 257758839, 926620505, 539801937, 636121458, 496520651, 874918960, 534686459, 635437789, 877337546, 343780108, 665644544, 860966196, 352073035, 697749070, 1196294, 960876676, 421307696, 731840674, 27625675, 973116910, 313212096, 128107501, 812220873, 534450936, 994009495, 228306850, 291519315, 417323364, 252461543, 142252, 931128482, 693419140, 601231913, 126368157, 671843300, 722421087, 864681501, 779788315, 325781437, 282912149, 737300065, 285388811, 369858176, 683062870, 931836669, 681026178, 247155506, 326225335, 736894177, 424866420, 58488925, 866913535, 891622170, 816644639, 648093625, 405827352, 911260283, 182424257, 770290395, 174191184, 4150411, 774823618, 4108660, 743975446, 208168787, 490626462, 198138364, 366394351, 870445957, 387643075, 444604691, 331991698, 435191328, 923185048, 177753715, 104798450, 646219911, 905397024, 638164196, 654227840, 883176406, 905225405, 823111004, 956537599, 652464395, 505104612, 769438038, 271049490, 680409691, 510953996, 362219503, 942628136, 686594763, 634394679, 307769389, 761259012, 661809624, 650113291, 630632362, 168359320, 810572495, 643931930, 784647314, 95056044, 951033146, 638136740, 863588614, 853675748, 47578849, 421899416, 331160152, 834725851, 855728453, 607509943, 36937423, 743193693, 936642759, 290411570, 411723191, 990451633, 332825027, 398059801, 640363300, 287945920, 693537698, 282145936, 306438604, 847249586, 131540678, 369443719, 330733776, 781509985, 12753738, 438680734, 285309347, 314556861, 958172992, 219745090, 260961079, 730818986, 719235046, 839848415, 193625212, 243314522, 959630475, 176591567, 758314340, 316260654, 46265904, 295087648, 160330897, 108167996, 884371830, 142154423, 502958324, 565641005, 657529573, 475968605, 757412074, 327458913, 199322076, 966625898, 30609535, 416300726, 938067022, 564112476, 437062694, 512900551, 27007244, 21411781, 239239009, 428130388, 633965992, 603277200, 643979336, 230237357, 211907456, 642880142, 919276860, 414752027, 143108587, 634480737, 120346170, 450902980, 77506502, 274185939, 597194145, 662190081, 897906438, 150517776, 831574552, 449974368, 428361517, 312056912, 773669575, 489389838, 285569902, 79459623, 542069951, 712228583, 107133132, 28761430, 940563832, 553415065, 292817390, 711512976, 258030994, 354450575, 876418054, 336882332, 524380790, 340457841, 108415604, 300285695, 954742499, 327667475, 828543638, 988106149, 506696635, 895943391, 950797161, 553319755, 486769371, 512421505, 698746901, 409456769, 490436629, 275097524, 803398459, 585682747, 949493785, 978811112, 771552726, 845687037, 811847611, 496213004, 141468545, 129098766, 783328915, 440395657, 985895271, 855593251, 260813747, 483653543, 735144407, 122805111, 645551721, 279599743, 373817348, 920627756, 400492120, 270723787, 153974836, 866940480, 937663953, 68447484, 292793089, 988017721, 850209413, 522828609, 476495156, 765260244, 73146616, 250529999, 247408492, 961215420, 354036239, 714267514, 270162488, 315275377, 64284984, 272811048, 524935662, 375512948, 995059382, 223363315, 871038308, 837292827, 372529388, 975813179, 885087224, 763766290, 427781802, 216285222, 883435572, 939301911, 832218136, 699834542, 938060958, 450736661, 189622830, 686595908, 404014021, 145447413, 304864036, 157931319, 781374529, 51334533, 80066663, 474144275, 409862634, 174241401, 62369199, 750698486, 428009152, 201924928, 246472049, 849223496, 14321115, 528092793, 935882597, 267703850, 949060350, 119274948, 952920191, 752989341, 644805712, 632290442, 797867240, 613135422, 267184003, 864580937, 709291509, 930645476, 833849270, 26910290, 132152252, 774331604, 763015350, 687893553, 961045022, 878919182, 655664716, 75110999, 726722434, 392052977, 884378557, 768761661, 530037520, 335780024, 926209323, 553648276, 899025089, 769672356, 920142909, 332516539, 851326071, 474128310, 790250909, 465012543, 854401454, 741220762, 44974397, 266177744, 658219589, 41359588, 932579637, 845079905, 330929584, 719197572, 158556786, 444671906, 236216541, 652255089, 119750372, 78567224, 476084798, 16104567, 769990105, 4385926, 524021409, 965209151, 963443075, 387345629, 160924037, 955094541, 700752062, 170935525, 960810971, 809840496, 3982538, 19994417, 30185983, 236521818, 713127687, 203677366, 47983868, 717727818, 972556160, 232861568, 231662767, 904004862, 755642036, 29457129, 277769254, 585253452, 277981545, 115847117, 677230769, 487431193, 572866114, 316910769, 556676775, 488775236, 505033356, 541400509, 104393324, 356155412, 115222322, 492928764, 273205066, 625762419, 947496921, 65056186, 636060195, 260205126, 570651840, 995034333, 556903501, 761729331, 456869460, 100080824, 62081710, 208851629, 290945946, 514943910, 355417413, 486276010, 514831643, 631767619, 313131595, 849376, 746536661, 434813839, 25464667, 494667124, 194855833, 570764320, 273836659, 550422141, 205177688, 263178313, 391247897, 21951665, 626653896, 302342080, 176401659, 553027694, 72178859, 888660654, 398725672, 658265119, 733193879, 386076982, 912509770, 641719246, 455560541, 889066423, 158587127, 642040622, 728285824, 780839552, 406184814, 362814576, 712296434, 647535550, 163490514, 798221621, 593830090, 724650049, 86603361, 881761606, 53832115, 313828577, 875270519, 939997497, 407375321, 929479910, 872074954, 945068522, 109393944, 938467617, 414812412, 10409960, 25772565, 712551400, 926173003, 199685988, 390319752, 246017328, 428132190, 599545382, 545915202, 6876745, 851674151, 901278445, 668133852, 272606349, 128022117, 698685899, 403823418, 609321976, 717169795, 187808238, 254097371, 362365200, 341106691, 154931165, 771141195, 933732672, 616851683, 396374271, 219403139, 264212049, 399657805, 225757282, 196605253, 817450839, 225629518, 724288677, 859386010, 584885734, 18260864, 577643118, 710565245, 552254248, 436923526, 74859890, 705758579, 602000236, 131074437, 272937640, 592850745, 888013602, 277537830, 752852015, 792681417, 463336138, 983939838, 738028481, 724196602, 801781135, 729496683, 754972245, 747061526, 890067393, 298872469, 539917557, 928681337, 877221080, 815221049, 273229945, 59082971, 906025094, 860794087, 799204428, 954765796, 620688610, 537137738, 266413104, 653833811, 678846494, 107148693, 46164602, 816867248, 297129194, 121615924, 288405236, 601501449, 480103606, 152827946, 343611543, 373427912, 151307732, 341343022, 819318930, 533440995, 789778380, 578630242, 699687809, 980092775, 155496667, 683399245, 183823976, 282644429, 666145530, 436427448, 529534562, 870102806, 907770348, 501085587, 227549161, 459761418, 825139320, 784646555, 92825692, 65716852, 659496592, 232824395, 665691623, 161121878, 80933319, 688223307, 215275170, 404989072, 506895231, 680871717, 253949804, 978409557, 652192262, 644423896, 255706671, 893871805, 538609166, 486678020, 808014636, 624992105, 503405147, 992779407, 465631270, 765242606, 348571657, 207047104, 667282887, 812553048, 311835076, 392216584, 927785205, 828722269, 962107289, 217369794, 48204234, 653114285, 500894596, 346567966, 77436469, 822725552, 752908036, 207071842, 601161420, 279867888, 367588002, 488366613, 638716131, 206945428, 161165215, 327893869, 920716605, 609238686, 510144253, 674500370, 897332081, 964185025, 572973816, 269584410, 738300021, 652093758, 390547580, 644888977, 15760567, 392152302, 90256095, 79135934, 824849257, 317707387, 674326181, 759783729, 966232368, 259733935, 960435791, 528362441, 775640408, 719474797, 127387871, 51962261, 980940310, 316977232, 588277253, 342540573, 526928489, 376054928, 823828884, 558563255, 317350968, 255503538, 887395085, 289082337, 174189809, 646585598, 339256439, 459966266, 442937407, 837074550, 325331295, 409345710, 641930711, 182211392, 684324793, 610533681, 940268406, 410170191, 540887672, 767596889, 903265490, 37421414, 624682016, 565426447, 567388063, 375068042, 287281501, 463007953, 640610845, 364969975, 909198326, 856530971, 71009693, 304230722, 709243669, 560257292, 50929644, 854492979, 815092109, 250742891, 377486035, 223723865, 151521094, 445351469, 322216648, 384545313, 43030515, 477707583, 835058645, 783435222, 568116482, 86281731, 332556669, 285172777, 319304784, 944298492, 747267426, 435972653, 234406837, 850831516, 994458533, 259161356, 917919473, 946323815, 590866870, 858558782, 883315464, 811934570, 99590502, 276038125, 259772089, 402015391, 568414745, 548816403, 616441902, 890543095, 850554065, 132514130, 270183825, 118282956, 713247837, 428263233, 554404790, 451898917, 814738486, 860076982, 998482216, 94299634, 454903883, 205566914, 271846077, 250878922, 711272210, 804519712, 405266401, 713216399, 246101042, 373254260, 607711104, 205323747, 385630409, 973426684, 413705171, 379357265, 487948061, 457914101, 647279841, 63130713, 45769349, 495055788, 577397462, 351521353, 924889771, 577010219, 133267422, 434294021, 189827663, 196341921, 429681985, 933398897, 482198966, 43473109, 712956207, 878175367, 748910972, 750409572, 595710400, 885205199, 100840886, 475592361, 736782579, 251267673, 295152869, 990954632, 911030842, 677566837, 299513962, 956572824, 343725589, 476999838, 120098873, 921660328, 259706027, 155764922, 348491650, 580898952, 54744830, 701158327, 276009207, 599142801, 64003728, 602197008, 701035209, 858970919, 489725061, 670611656, 420049812, 915970181, 327594742, 598336881, 645769244, 124629598, 93258424, 838587170, 945581794, 972568743, 554982540, 260202586, 683222978, 263200192, 337729622, 753690806, 812311178, 994499840, 700721887, 273722148, 706798544, 62840720, 743314081, 574985732, 370004104, 270260137, 890910361, 513165174, 416040337, 993086525, 499898267, 685426513, 217404368, 536985014, 902042262, 627370239, 141241742, 177100540, 623762037, 821122245, 807498404, 700532187, 201537832, 799351125, 233905464, 661925349, 392200030, 652804348, 498793818, 731108883, 854709274, 366609248, 830076707, 47792956, 179488799, 254449067, 920253666, 931931681, 85063150, 408804226, 362184849, 65475380, 470414731, 286204643, 194045790, 840223828, 278060791, 748022798, 687067234, 617291517, 231458253, 815834204, 247187323, 416819409, 139888134, 580423209, 740694299, 441597397, 928330264, 860911551, 198180356, 31207990, 670965392, 918103020, 298005583, 503649707, 390119991, 222904065, 691826545, 794267812, 527356081, 261371633, 53799248, 493569238, 499494306, 811954487, 450671545, 593881102, 861247761, 500349865, 984956760, 348881212, 238898369, 51925851, 140795233, 146812238, 976845190, 926507078, 776401657, 973977046, 319542959, 650371605, 703915384, 595916887, 489247914, 902731663, 675251957, 355385882, 541569982, 416725711, 826311200, 485544719, 728710764, 294826729, 587381335, 71506197, 338861067, 461664600, 750974253, 799043876, 697881863, 386962531, 120073323, 51980544, 597206945, 167100008, 909448462, 285646025, 423071721, 910340263, 591669951, 505009781, 741048131, 172747664, 625745772, 992007875, 420635320, 698439770, 205060455, 476539910, 527088152, 308245179, 515952859, 680263972, 818047545, 109463172, 729141376, 927832725, 107885821, 323103873, 806109936, 724893457, 834749467, 792477316, 33112255, 768545839, 653609548, 50560309, 538964995, 989299606, 911055212, 891886750, 833000883, 953543220, 484841399, 275005795, 748180709, 680692618, 868364378, 756155580, 536639201, 907976035, 928327361, 271929844, 744273497, 488463221, 863939852, 498463600, 407434223, 803529914, 288641798, 848073858, 997476638, 888140717, 136634180, 941959940, 189132057, 406424369, 913391405, 776343648, 643673574, 238609772, 137207148, 528639743, 37228254, 67848085, 943969485, 284615267, 833172452, 13936530, 47154039, 367151477, 597956196, 68907850, 937285129, 840496172, 886452027, 972631079, 210614486, 453232156, 411378388, 916348876, 562780129, 42411267, 362859653, 236876989, 63429436, 518756760, 683078480, 195055935, 997881204, 273469350, 135294073, 895899648, 504569586, 821923230, 622765828, 204761819, 837153718, 843738097, 114578501, 808707756, 413096248, 40301403, 710426501, 816997126, 542766907, 835325038, 415226274, 534819205, 699448574, 446112970, 638703812, 34782637, 197319290, 785914000, 505753199, 337069284, 480009994, 669364264, 174801251, 832625841, 916674854, 457336753, 307663939, 526844759, 82591284, 798644865, 421978467, 635340560, 215624763, 299176563, 289506471, 561243274, 897318856, 358876871, 305196296, 986420735, 82787891, 638399497, 747671921, 360201260, 755415131, 287578032, 822326129, 45259867, 847794028, 498546025, 930707187, 852840083, 36683045, 22633146, 58168256, 614184710, 281716685, 695294646, 126844102, 884314290, 334169409, 233219187, 250429498, 115725024, 14688906, 433700321, 594935993, 297880885, 360232101, 688423466, 699439847, 623388527, 216161199, 234379689, 833486619, 852270426, 745713105, 466456948, 910639312, 146756022, 834840770, 355289007, 372847708, 661211377, 597296877, 539099087, 659257064, 942842740, 98919366, 554433373, 31447235, 678583434, 755288119, 345626868, 619733276, 966933067, 384102165, 217356781, 989761573, 173056867, 640790874, 2763688, 153653850, 249167913, 692820118, 135496, 222074741, 60103080, 155073379, 837032798, 762943992, 136265398, 508182254, 643976666, 402210364, 45870844, 943426375, 4233875, 567129266, 838936497, 968701592, 730283030, 284296722, 57683495, 21265333, 620956154, 757355995, 850364070, 992909733, 650015825, 387841578, 666061114, 480815410, 334821416, 316486978, 178518833, 677891574, 415820695, 908606220, 449431480, 663666055, 71820030, 393140681, 4894284, 400475413, 966414297, 892380430, 924813795, 388017159, 689530464, 112598501, 859747346, 356142632, 406767134, 768779313, 265562156, 641325210, 350430149, 215965983, 226075042, 4078570, 196830379, 946395527, 509737810, 360561181, 874516617, 357030979, 398482668, 635301664, 779851943, 434947363, 99565464, 231558591, 610436046, 158774925, 872813757, 882848273, 110258487, 75659726, 220431860, 699876385, 621039731, 716333097, 460253787, 234174190, 384655273, 90085425, 617402144, 717406241, 721024333, 334170866, 909643953, 82179475, 374364121, 365631848, 510592627, 296990417, 689219808, 226035033, 365210617, 338894027, 69196656, 361252214, 97327534, 557041556, 520542549, 894694523, 682773587, 549232909, 508156394, 100328961, 114503854, 400990861, 8775129, 538671047, 701652494, 213797193, 105456172, 700742296, 716433970, 240850991, 983604861, 683669864, 868902283, 745012844, 953160286, 196149903, 19797501, 121556193, 335069560, 654911562, 28629223, 37078931, 176765500, 119634305, 55194190, 291624122, 882507728, 296692222, 252673094, 553032586, 826782799, 607389521, 520269570, 877368324, 255381589, 464414850, 815446841, 379901126, 778964985, 730538769, 774193657, 936995082, 410631333, 217516935, 767586668, 807546907, 603468839, 469263663, 151934408, 481060594, 130498305, 984509549, 40131792, 198120413, 539661606, 4634204, 115403576, 651339502, 562424455, 105355632, 351841854, 428637068, 445063772, 77647810, 913307529, 213116906, 935262736, 578838510, 648756140, 664678803, 393249287, 336526046, 731906395, 112122331, 744364101, 811327798, 117977037, 878992381, 788380250, 46252097, 871216303, 805476786, 120910819, 76933797, 78279525, 877866916, 366321785, 858513335, 465860558, 549530172, 664660078, 544383310, 717497224, 304272802, 263040487, 633794279, 9882143, 333168730, 350107127, 846094748, 222959279, 444830568, 106721657, 425681136, 121033601, 515281109, 749899391, 876051460, 622981884, 564357240, 441956274, 156714363, 744725273, 981964425, 656093936, 655651932, 218528239, 174751861, 390587341, 477738225, 730205415, 277009613, 275650903, 814582262, 384437177, 691339514, 767457167, 490029856, 644318469, 671685959, 26730300, 196363399, 435088080, 110485903, 672227232, 487202742, 509746765, 478541880, 692392912, 940732485, 829178325, 259034712, 618316003, 669248359, 432426980, 619558927, 659930758, 467990963, 847249811, 607398665, 332400118, 427573769, 147912417, 351478051, 131261000, 688859924, 302665184, 577707013, 842972551, 979653766, 150195102, 334905819, 178413724, 328635598, 614977465, 466062090, 154837206, 470064868, 792463664, 311529973, 298859742, 842321258, 666385831, 780049850, 736544056, 406725512, 705271552, 421074040, 159231871, 237349410, 976500005, 695137659, 836413720, 955968990, 15228263, 195083845, 27911060, 329721009, 904901023, 178046688, 280684151, 164036032, 520821138, 867389640, 331011361, 257532803, 477994721, 710137048, 439878942, 944141385, 452529848, 564767691, 92742400, 55245765, 544093541, 433702430, 625172501, 801640689, 589259290, 933704498, 484432773, 934889363, 322530341, 976985492, 378325950, 386807409, 741085510, 985817668, 214586804, 756365519, 209150745, 533572208, 794844225, 113928437, 921524034, 338069977, 302982574, 864041183, 383769249, 83056502, 283327759, 791888621, 48724982, 483883280, 270517291, 306158502, 166884030, 113740652, 757310079, 157070723, 76897164, 534222037, 730994329, 80661216, 879110609, 603639029, 759649075, 490331938, 349897879, 929805724, 259481009, 207190289, 16563597, 699420776, 874229687, 595541109, 714907032, 784721093, 309187483, 729561427, 492142566, 831007873, 508302431, 33038817, 608348603, 152817656, 405237716, 985682011, 684551333, 927032937, 363716281, 38414066, 640739106, 975555036, 51752881, 131902399, 863725658, 543383394, 819406343, 394085882, 186977748, 379090547, 553001434, 99574491, 643277025, 5735851, 396377709, 405316928, 940572054, 809212344, 16600679, 794265701, 602887552, 84709338, 884731221, 419142874, 211690433, 148865430, 752137121, 640056619, 896097187, 266692157, 606929172, 680590309, 615203049, 897806623, 50418224, 548441633, 3685210, 940130055, 159718684, 964837371, 511275029, 916746829, 943140012, 558107004, 830925002, 427874024, 543845029, 232185792, 200955652, 482291340, 520892074, 854427873, 428281684, 290409805, 472624468, 399068836, 174848496, 459857570, 302828734, 519927154, 543276936, 729077687, 687288019, 490605009, 81009771, 145480452, 403882915, 644231960, 234331507, 290586925, 944876052, 286404972, 756891076, 686833042, 861922003, 329397496, 311347126, 449165068, 645215355, 758114971, 828217262, 953399294, 16589279, 570039527, 974395327, 687997639, 987370663, 165487250, 87453989, 386867036, 690346928, 459934965, 78308132, 66423094, 689926028, 574534329, 300011216, 638765049, 152526746, 918121765, 167405643, 711558113, 171731646, 639746161, 213498637, 458622712, 923537579, 403645326, 514838512, 917662531, 968724472, 138663413, 461449486, 408934839, 847297755, 687592889, 365219226, 19303767, 965497968, 923992532, 460903392, 322013944, 934361824, 75650549, 799046007, 706898352, 453974419, 548247275, 526204439, 389231750, 283704223, 93706973, 99705835, 771999154, 596084134, 827939194, 793718875, 369991083, 911845143, 258518926, 733872243, 345351803, 841920064, 89124813, 906000908, 937565824, 753571666, 5073504, 118904995, 158550672, 290696755, 347065303, 788064957, 735001313, 802366638, 289634, 936587428, 593358220, 344975653, 571837125, 476373717, 15012571, 261682882, 501975824, 714738988, 467203865, 125242158, 433514336, 83776959, 212178554, 162875153, 814220286, 571394877, 714351330, 672325427, 68839099, 834982674, 212495414, 497657983, 954177126, 873088522, 872704438, 960839978, 409288298, 586173681, 535641770, 4446666, 343349013, 104810877, 981493694, 400385005, 295211199, 605696855, 926443425, 839945484, 75925086, 66483862, 39509997, 883439326, 931859236, 310504680, 335286281, 389030615, 944502668, 313653884, 629080141, 788643086, 935470534, 320566538, 987474008, 216513281, 974306672, 732765111, 879734309, 26558825, 210050369, 267930502, 800455626, 359181400, 277669252, 949069984, 543609750, 233232894, 823232293, 461300901, 775132902, 599796388, 161436834, 876155905, 729465038, 797173018, 272425372, 131050927, 118185683, 473137822, 297411751, 504112514, 351139200, 810133927, 729742625, 48567996, 819585300, 705797866, 994249236, 237264968, 584894608, 860847293, 536374241, 451726445, 741694908, 638519272, 292750585, 889427066, 514545607, 29813529, 604297063, 511692233, 854768316, 498884968, 420253942, 616068162, 994543256, 925144297, 830455355, 379970687, 401795333, 39665370, 62699411, 57787904, 714404208, 581818366, 539423601, 457707772, 129102851, 831766586, 210186240, 736646498, 182323764, 465493818, 311463768, 577184491, 22582706, 806613440, 306172788, 641725415, 210967557, 5360114, 803167245, 307724100, 3191382, 295421530, 46191682, 160736494, 298308912, 992950028, 443069863, 1861804, 999978070, 960367494, 104226904, 298641531, 263323251, 25127384, 944535356, 584948530, 730798909, 372046823, 18398708, 675249940, 621293267, 287290813, 750215603, 885020075, 232815657, 67990115, 876334605, 380572865, 935843595, 398713344, 156946674, 713542848, 274200599, 254218626, 341782720, 808494794, 926850890, 216171, 762278065, 827122270, 662284060, 291415141, 930313282, 848385559, 387539985, 367042431, 500108908, 6238546, 55222123, 446947634, 545595838, 787046847, 942458577, 944561046, 431914705, 384158677, 992990204, 474876567, 364820464, 643511118, 600278173, 93056526, 274144218, 166763049, 373583075, 656927410, 177845305, 112176156, 863703418, 133886378, 975405053, 206466510, 219495619, 768349225, 220816902, 132353280, 822874692, 336803861, 220859658, 98832326, 381543485, 885710372, 329818206, 91211382, 923133308, 848753740, 801163608, 952295254, 773435718, 377394041, 717167000, 331179512, 749520701, 392473732, 695296608, 301954407, 913243045, 340430690, 367776826, 744634512, 825747631, 771581576, 946982172, 752568203, 656578791, 954486987, 518776941, 396058077, 806516400, 808482489, 578170380, 765833304, 729415520, 773630297, 728199437, 293473061, 192371643, 689263976, 132106109, 304124003, 749458128, 946129895, 833282698, 938524997, 324662387, 610979214, 119305720, 636872264, 108426849, 711307825, 723026877, 371998056, 523873981, 315808439, 337794035, 216425701, 247263602, 300384420, 995321040, 575534699, 586194523, 904305706, 452677296, 148465985, 47996954, 8696841, 930698144, 780524835, 692449916, 680677899, 674853883, 85621279, 353941257, 234907702, 199050028, 685132749, 904556588, 906210665, 944974047, 473955554, 574289358, 808210082, 486127859, 454296370, 967203940, 243078965, 117980326, 134077763, 146438551, 24577226, 822848552, 229063630, 564650240, 618220910, 900098963, 814476785, 420652255, 842114899, 915344446, 685804195, 650324655, 741309995, 758411057, 826271867, 235532936, 868432870, 349115519, 436033698, 401553293, 242955628, 47324182, 610283492, 747227548, 976199971, 530209708, 800407598, 725923382, 878652336, 464045608, 163091104, 634245446, 376109733, 626943116, 784720804, 305068853, 706728158, 405215668, 578817138, 755457295, 701269499, 879421749, 821725372, 400418474, 749692925, 129235058, 415644434, 542171230, 567048234, 875886554, 867777348, 53372952, 193230606, 706817432, 542619345, 652072343, 534300465, 694358898, 859520971, 123404375, 93927350, 461983173, 327944286, 185468777, 713484499, 174173140, 852398481, 157583882, 757054177, 272422878, 441525677, 937932404, 196355609, 432697636, 898097872, 928889185, 289932873, 450768008, 55738955, 191872666, 628892374, 365457023, 205106958, 734327271, 735508802, 203611158, 68127015, 171847505, 269245163, 363542238, 635965271, 295990957, 429977984, 126121269, 585997776, 310604507, 768311454, 341204071, 14065295, 901226690, 75980080, 733146249, 25867520, 34346053, 120147876, 267555879, 301556282, 833879052, 843944068, 656307408, 61730217, 821190340, 24655288, 874274770, 64447875, 713051176, 830796007, 308878628, 233699602, 970148957, 830490979, 756679690, 483110771, 463538391, 15586322, 594617560, 389792, 906423338, 111429312, 983728932, 685047707, 471892369, 795061526, 631374293, 256798159, 745543546, 587685094, 455029969, 537025944, 89469549, 897062439, 649498216, 979499603, 815329051, 919778649, 947987399, 179234439, 620527023, 268281665, 938102485, 976342193, 549706471, 835388408, 721638017, 455899658, 629493030, 46564404, 411661455, 976409204, 864650181, 837754339, 908201236, 605855973, 112166898, 586692085, 694471783, 775511362, 233053600, 701927921, 409852769, 510296852, 597967854, 203211870, 752457138, 265676367, 83447782, 962838203, 38403167, 687831288, 142708251, 137572041, 592511272, 560169740, 369970975, 82564165, 425972761, 524533142, 451333643, 305864250, 868463055, 707075470, 750479351, 546787523, 959869450, 485773607, 801983769, 351652728, 208723143, 599900391, 453631015, 760911837, 134810667, 428161134, 980669654, 455151357, 763047060, 465431428, 499817764, 397311398, 434432916, 140121039, 535337886, 644458695, 769917599, 141332517, 186722156, 293092668, 978221272, 651930801, 224573006, 488531706, 924007855, 899478699, 730770649, 957950896, 705121578, 979012630, 661522772, 978071303, 941421074, 488688487, 610994226, 547910532, 346837842, 66065227, 566367689, 187894785, 847978414, 447547684, 838780664, 336857899, 204944326, 730051587, 665839627, 258337726, 372422548, 341713939, 560923312, 97300577, 761787653, 356410972, 869200548, 775654017, 143141762, 530325991, 440708338, 80793973, 923741126, 694742166, 133435955, 596708375, 220255416, 897087125, 591452585, 90611240, 906842421, 907587153, 16904446, 46375617, 644907562, 679590337, 309398775, 404742408, 478546794, 326763442, 737796184, 670074792, 589760673, 458178186, 951848316, 291013388, 585581284, 182544259, 732874393, 633765291, 479023395, 664341462, 227866916, 440496824, 715701761, 987106438, 823325427, 869524205, 48559726, 459855222, 930316080, 205502007, 717298911, 200734565, 941114014, 838329859, 686456442, 821972081, 766205384, 462039938, 736227003, 965554341, 983051608, 924766654, 500432947, 90444312, 546015721, 623937343, 294459334, 913605042, 101017094, 446340727, 7836468, 314995833, 300193848, 712965755, 970594207, 91738429, 881981465, 565648082, 336195622, 290700620, 992204096, 409034618, 189002184, 397320147, 588816424, 267969483, 363061523, 768218706, 84714614, 518571798, 586857517, 836432504, 74560523, 948947207, 757983958, 139727978, 84382272, 573047656, 724899354, 508308220, 253875387, 580679782, 643695463, 292354638, 356338950, 478699206, 58448196, 420376028, 657286767, 320007067, 246151559, 878764149, 296711043, 592410667, 10568867, 585471558, 536331077, 993947035, 178583876, 775827396, 501796231, 923239192, 110225978, 767245972, 752767996, 886328642, 758379909, 167603767, 840718557, 484937861, 505133615, 936847885, 194510870, 697417611, 977547419, 126618649, 921186609, 713324254, 576600549, 677225630, 671386100, 788978691, 421681162, 143504641, 185579187, 348248513, 662598415, 60113435, 715228960, 187480280, 722551237, 980334501, 590330030, 848732957, 699634322, 80268823, 208378506, 362833224, 386341785, 810121991, 495690934, 53946695, 382873441, 435481389, 427530752, 611352170, 129288216, 406406086, 990315783, 541065402, 609949369, 430890187, 2947243, 949013254, 416624121, 845953837, 875868003, 274902308, 798795895, 531595981, 965261218, 742113680, 310040597, 808660413, 968403862, 581330058, 973294187, 89006972, 413337831, 940020313, 557211491, 14580100, 105741647, 554279219, 471740475, 150018178, 186039465, 553684874, 538135400, 466431382, 982701750, 823903919, 598640543, 327795616, 387564918, 938627799, 921689244, 534616127, 764646423, 948270555, 513890077, 139490050, 159804936, 53184469, 574419359, 4670339, 138007721, 953020732, 430662493, 371464899, 40936869, 334028520, 222032197, 142808692, 295254046, 260486072, 291398412, 314836737, 134949970, 580427675, 108533554, 255702859, 346178258, 420005350, 10539747, 332897142, 501882224, 511173200, 48279312, 55075005, 990787671, 286910859, 522277278, 37386125, 350624157, 187016110, 138099628, 393042624, 363061945, 349947988, 813782085, 758333929, 668568615, 745638665, 513875030, 120154674, 861436891, 745556244, 777273430, 588467903, 406947471, 446158060, 428652575, 515427286, 611862693, 912620998, 337281932, 616931272, 850126012, 51180426, 369647120, 881472215, 3003687, 189766862, 423012861, 187489227, 545672730, 116479320, 273949032, 819043008, 424542917, 312617791, 4759068, 933445960, 298415764, 868519440, 696295124, 855794752, 23357612, 563160673, 597931176, 281903382, 93083508, 177612095, 128496558, 905732051, 971774804, 783377889, 63130801, 907832739, 648026978, 965527041, 87479593, 52165052, 977130959, 548868669, 166006145, 850266317, 426860290, 86617559, 346695931, 876195761, 479635224, 287669510, 700665509, 394700909, 391737880, 573085877, 62530738, 309729237, 573397110, 445831080, 348329813, 290738351, 472922928, 237249089, 442662541, 403774612, 922490582, 759846254, 597774738, 583228918, 631813345, 668568976, 620278603, 599004911, 833015799, 271460226, 452501270, 228856253, 624487660, 356440264, 908974906, 384891699, 924330567, 328999732, 864645800, 217122286, 444566724, 390088872, 771430184, 831682123, 138682027, 525016624, 142328279, 724502047, 923433668, 608866413, 30254329, 139475559, 709660875, 679813341, 208001394, 372068957, 738001104, 621912998, 558541819, 896705505, 77751679, 733567768, 462165806, 806614597, 271859812, 914307444, 382534983, 997629370, 730199653, 876452211, 257680856, 924247697, 139393682, 775563538, 651038233, 652050081, 868976294, 650325291, 230640109, 163540671, 275882470, 917863931, 300323333, 612860130, 209243909, 855612637, 45753044, 266004767, 993647108, 700837994, 44630317, 967101176, 610354062, 369743647, 228164613, 514544486, 434603945, 895326813, 45362622, 816382667, 548775210, 865648139, 904805948, 625367226, 139448857, 588388793, 369683361, 150138201, 433969899, 521437556, 22960569, 355058588, 176359581, 529320749, 247228849, 685290079, 649107497, 88922435, 704789487, 143859945, 565681078, 397349487, 637764413, 547748749, 947767655, 888210644, 953526207, 685971171, 438519098, 771687513, 393410592, 940619107, 850731896, 602379227, 411850800, 79470447, 420711720, 293754344, 877638846, 107846827, 726215029, 333410080, 830374361, 634000372, 567183573, 472724541, 272895349, 375824215, 526928602, 607412895, 10679176, 591460897, 826623062, 412641625, 494058630, 18124599, 511424779, 884478686, 727206321, 543350741, 450592763, 149757264, 651122466, 518513838, 285732754, 71478075, 80314242, 429267163, 383037866, 736766935, 100536270, 13345576, 904922373, 337981857, 738641569, 858419443, 502733597, 801805202, 870212783, 64166528, 804557197, 674108543, 504388947, 669467646, 689689155, 83889348, 967929885, 97788917, 624998188, 999110192, 595125573, 765326823, 18506023, 607992291, 191283825, 883467869, 640843752, 418344665, 581022957, 824369753, 141663068, 648677026, 276465461, 16882183, 751494246, 28653440, 299619821, 25445241, 368245965, 631070325, 244113571, 543958988, 250499064, 251952754, 876258049, 80391134, 176588194, 854091226, 594097468, 311352364, 425035866, 862682608, 171356131, 641425043, 512141066, 242891722, 151902131, 111952973, 724801250, 743153297, 991200555, 760595067, 813288327, 397287476, 845132365, 20030118, 503778855, 303465534, 624869262, 933971979, 184284126, 184175029, 193680870, 174438509, 909181501, 624085807, 633609567, 293304550, 654582117, 820885139, 435178992, 333436593, 65145734, 99044971, 569910471, 93485083, 934130945, 359732018, 234084823, 153917278, 134662438, 833950943, 4491618, 132744782, 734491884, 133012598, 387170275, 904908884, 402878784, 624178696, 260819547, 811868669, 434563442, 831240811, 718440803, 638971602, 687968303, 104577444, 145692867, 38090690, 191772326, 310695741, 972943207, 432980067, 430365514, 533743887, 180127638, 171924806, 963402013, 193438641, 317140688, 578120132, 147698126, 462774292, 350163983, 329260420, 605284167, 661786948, 21405110, 214704079, 990926018, 744536073, 392214473, 241263486, 370653313, 557423579, 714879005, 987135655, 578653474, 170179641, 972822288, 546235624, 975412793, 919313561, 378826961, 833190593, 591045316, 801884211, 720756616, 117684342, 806023212, 22665961, 520846810, 702018728, 373287289, 725996812, 49653371, 492643278, 964172546, 598900595, 966828544, 823933265, 358172210, 300218029, 482368016, 40231699, 867433770, 387672976, 413671836, 260359276, 244759984, 750438530, 274184363, 62742637, 790237718, 404966332, 78335987, 995152419, 416556790, 506410779, 558278316, 343423548, 117353689, 377850069, 325183448, 524473605, 126097172, 965263264, 565835459, 148530859, 99145339, 73518511, 619314042, 892842342, 669593030, 157219371, 500112251, 16533326, 125015285, 753767759, 444923974, 418738185, 843337907, 39068549, 18398607, 41790962, 778183235, 802842761, 225471446, 56086864, 464471636, 279714264, 523827677, 690000606, 274845746, 577465910, 407139616, 617257032, 827284904, 274261188, 842215877, 794765069, 916361968, 185171889, 860171668, 982468226, 530769472, 430396482, 914905983, 111756846, 296362200, 86295910, 844581627, 829375857, 870776962, 828250508, 882314141, 883661383, 891833480, 744289163, 55395406, 850939255, 203065919, 704121952, 726171955, 479763324, 747256635, 733491837, 883344734, 975866356, 74613810, 739560869, 213661489, 660376761, 941367130, 487078515, 897686333, 928722865, 715522957, 368786754, 461896814, 765584763, 843871047, 458052626, 313906411, 164528854, 195317924, 766910643, 955800036, 134557542, 292035855, 495705452, 138124140, 339422162, 12847197, 322704582, 903704106, 399216881, 592712640, 777010870, 890324006, 619126809, 512153021, 518467845, 845957042, 883523342, 841450419, 644704600, 326573751, 578996451, 186676474, 907783996, 545843120, 196793726, 344981562, 974564956, 690726715, 602996002, 455954386, 966277204, 31805654, 84283022, 242218050, 111560802, 489759674, 761291856, 279878360, 759876982, 489825174, 936607957, 263192874, 814082347, 493584990, 804514692, 882930428, 730637595, 975161462, 984356057, 246837585, 122294835, 534927017, 9150432, 138145749, 473628624, 765238411, 289029466, 296461798, 75333273, 20344581, 856748251, 3253889, 327019966, 775519567, 598025560, 123154931, 222219723, 964985650, 744448401, 883036655, 882700598, 832733881, 619092150, 988453744, 277127432, 616735026, 995541301, 953428866, 951782814, 746337806, 479475002, 610118144, 163847354, 432588895, 379810697, 616924871, 411597718, 775483393, 713984951, 165158360, 51096701, 920820780, 843875635, 82569976, 23316312, 608041671, 808909162, 156828680, 403392120, 613354108, 119993846, 798915557, 268687622, 238501275, 114873907, 746111502, 952437493, 992964014, 255920052, 895767598, 950061730, 834958520, 6260151, 518820984, 521892396, 494720417, 748046539, 395689278, 354896458, 67277447, 595665550, 520211457, 6939113, 971741404, 658068022, 213668462, 515553911, 976021812, 567377416, 733439442, 376360597, 678396046, 409599866, 892422394, 734127012, 327836213, 512772256, 433586811, 507107991, 290126123, 439908188, 775553325, 874924164, 742410603, 228798234, 305794769, 582273251, 760276341, 610850916, 16305915, 810051582, 995447153, 188400810, 529265745, 115453972, 385213159, 512082220, 878084202, 252444888, 993085143, 514462924, 524950542, 421036295, 19562447, 889352566, 75522430, 201958363, 447424413, 699973379, 534875884, 816412501, 839027956, 214241134, 309456700, 500346344, 707542904, 686161471, 384807117, 36133326, 940919650, 255246337, 203626637, 340988865, 598164384, 417340743, 206822797, 622625529, 142565972, 293960790, 510359771, 357528158, 666375621, 230533841, 971476294, 807351569, 747375054, 677396447, 640113521, 494309367, 100850234, 938372089, 816887698, 111055408, 510372777, 997605314, 206373273, 339205673, 460147546, 117710591, 912084635, 888267784, 309813565, 590349704, 807030825, 889987364, 744933409, 752375192, 237424752, 32956202, 106959243, 675474761, 115482323, 307388277, 904507964, 28105232, 508543157, 910285842, 543123034, 975847701, 656762063, 371442473, 386923283, 503445049, 865938456, 306330433, 999340435, 476965574, 401330385, 168601543, 194193112, 973318809, 66621951, 842022892, 460551406, 260643528, 495469432, 567954203, 254175588, 455195458, 344210984, 534972103, 920098096, 970544065, 818121943, 920955771, 121714032, 914729591, 307107938, 464319798, 23994455, 271998668, 594034124, 631801969, 576241071, 609047540, 402506080, 809624398, 179557957, 314826272, 329019081, 394128753, 311528152, 647200111, 351019838, 885897300, 701063455, 978065201, 216946510, 447649941, 275687837, 889760104, 939913980, 754815293, 461283024, 349123819, 225739767, 557756574, 200500331, 867848172, 279755978, 690082284, 941826627, 302469376, 901627996, 482996489, 984258509, 669096568, 805254920, 49761820, 525008937, 848220708, 907109112, 468196344, 762478612, 899869314, 712986839, 812132901, 216584716, 237490074, 792702365, 450253535, 986999671, 385766885, 732438840, 318841488, 569365667, 546584131, 263213064, 653112886, 94107127, 116901870, 404542654, 711493261, 993542671, 734074181, 547236483, 59639057, 158705309, 561337821, 398424979, 780911604, 74903278, 117607480, 450486024, 697634154, 695311575, 81695937, 232377628, 956706647, 613307710, 866555862, 688796364, 586767250, 896482228, 452542431, 726999356, 703263045, 374592560, 748561191, 573714045, 896818573, 231899745, 612033150, 436365650, 22298705, 582673944, 402091484, 765156263, 723277443, 912008371, 111862302, 240438291, 762217732, 682045949, 286654980, 179972077, 416788235, 779538767, 805111206, 808325469, 948138512, 280206076, 144420510, 159672849, 92619793, 182838633, 95956787, 913795001, 623764671, 603708219, 239963837, 641379050, 420473401, 614081745, 221084081, 920009623, 396518146, 571834631, 672378426, 526933373, 354606608, 788035789, 545623302, 961830661, 932223324, 333110692, 163671255, 169804151, 814702831, 789725368, 784650000, 833697166, 821256167, 54059460, 974535415, 257214523, 373847391, 211881760, 202226475, 565791018, 668822067, 788266097, 561416126, 476927883, 718978868, 909903716, 198215687, 884374859, 396617733, 964086201, 795219868, 596033080, 377716678, 113706750, 811987232, 576044147, 221209155, 852475394, 134889783, 699267396, 153315378, 979187154, 935288123, 182149824, 255216589, 881538790, 631679378, 762356647, 115994612, 83728326, 583211339, 397020670, 544744913, 619435410, 334300136, 385726758, 168520286, 540839095, 807273614, 120648622, 285335901, 183997864, 2043740, 593551504, 692448325, 657503847, 579293881, 428626563, 195222528, 607440385, 974444953, 438447595, 559585492, 647707357, 847260648, 340723685, 410208334, 514844129, 705101916, 151820061, 471335460, 200759107, 612441677, 709718945, 449330869, 116174763, 665621024, 475298901, 820599227, 335045349, 656804976, 210298915, 585510452, 783656789, 875371921, 614910503, 871129129, 951329455, 119521283, 175620890, 184122126, 620537014, 610316410, 682946529, 134436837, 691048929, 375196453, 100670951, 823270276, 583373683, 736584562, 609299257, 818277182, 851315716, 680387380, 934452263, 907999285, 764299049, 321365405, 314221627, 613056685, 560444217, 302541666, 606333067, 846003154, 268358026, 364149785, 82069597, 951576492, 182526837, 675079055, 318157063, 463220587, 791287145, 867759910, 62358070, 860477145, 438468177, 177071150, 214470288, 423322928, 556990716, 243095980, 679389379, 529566764, 836824353, 428105600, 839013945, 316700332, 799703262, 566321870, 285196972, 984548763, 554682146, 434555824, 417884292, 185525306, 228830196, 461151248, 634678092, 36451933, 407805218, 47401782, 857174036, 332305672, 514107848, 371684996, 862112404, 25382775, 316320036, 748098178, 396748036, 851732610, 851208989, 489088174, 153337010, 519049902, 610619575, 189647647, 746845941, 182260345, 611648063, 28563007, 767439638, 255261578, 594054679, 959600479, 640675781, 419590643, 402740208, 627505673, 123709908, 335393013, 373020213, 293301473, 181968473, 251192746, 739292081, 488331580, 270899573, 304087602, 250843565, 145105072, 893656715, 340286293, 48108172, 392977087, 879846609, 865618216, 755619014, 779537941, 379927251, 225701632, 170245826, 909800050, 947425042, 456901985, 600677787, 519396074, 799352185, 373564636, 313522, 43543400, 376037315, 69236069, 85268651, 455265717, 692565345, 556732399, 912010652, 976459108, 943038789, 687819347, 93742940, 263343559, 731953030, 594105763, 864625215, 873606701, 780657473, 567691521, 538598469, 296000459, 481351061, 626406399, 573579952, 737942593, 247541014, 623273377, 978228806, 490979452, 688789276, 964442441, 597170672, 431815215, 428128065, 210334627, 896352805, 922238517, 22978901, 56265874, 719041973, 742660897, 823128244, 374075397, 916990823, 275254871, 197704297, 989273446, 370134254, 927028884, 638065367, 448561588, 852987736, 478335231, 330948070, 615118618, 803729160, 703075758, 788175491, 38892123, 480085281, 817449930, 549152010, 939119308, 308490311, 321672869, 697088342, 612720184, 780003628, 920402949, 166008591, 724266051, 194917295, 465904825, 572805048, 277267949, 647461951, 61749989, 900662155, 969794724, 998358022, 429842175, 220559310, 286710859, 14328913, 514928027, 465186078, 327192927, 973201322, 993786557, 919089360, 51243744, 120872027, 665978363, 262881196, 798776210, 979163328, 885729657, 772916126, 229423298, 806534276, 817231642, 952497773, 162383257, 436454722, 726536912, 581918860, 279541219, 589765699, 215996002, 607320667, 162816337, 63288398, 823531493, 911869840, 8694232, 276370109, 182897472, 256975892, 171090956, 667180517, 116691404, 79184375, 133789360, 605609122, 712506406, 135571523, 450966423, 626096677, 874950668, 574558373, 382310154, 471885363, 589971357, 921552835, 9542904, 639668044, 189313346, 317725412, 623972251, 332479201, 504596274, 712451902, 802718358, 536524638, 460684058, 122107320, 922189837, 691218768, 164247671, 969937800, 611281305, 263008695, 367229393, 586048651, 861453782, 167471838, 157104039, 762918603, 712252718, 717807572, 977247606, 442558536, 384197658, 648823123, 717214619, 568906868, 905431622, 904314411, 303856446, 10998048, 377918238, 129610395, 780630835, 968110717, 827305938, 391135789, 972399035, 581346853, 998813454, 132990688, 483869678, 861978831, 53545400, 688869781, 961327384, 948394285, 341725148, 314922955, 278245907, 614761297, 886958384, 81054050, 892031394, 117040139, 385074054, 249827990, 971713053, 770628774, 685919230, 906539561, 256139030, 126047428, 989302180, 642798623, 618277131, 621746003, 607302255, 404913183, 52417652, 35961656, 642389040, 870215670, 235004457, 449195318, 343977502, 168182850, 672705525, 697716834, 825464548, 606935619, 829812039, 899906909, 999659043, 371737782, 686325280, 79250015, 512249278, 731960679, 266084172, 375268530, 845653298, 519424770, 300967692, 161194525, 269079027, 200212333, 399165232, 947340192, 445609420, 524552813, 536915359, 961490620, 449426111, 417561213, 30877431, 803907250, 354826006, 2097029, 545166313, 860369142, 434479940, 308380967, 851363717, 25447691, 183376278, 213515233, 396949452, 994979281, 113767566, 650075662, 441104935, 481649725, 206029197, 657651333, 243173554, 278467842, 669828667, 637674947, 155007935, 415409762, 576937276, 953519569, 559719468, 744512328, 742430759, 165592820, 401770329, 346417343, 144966813, 731406585, 876579418, 224771699, 892681625, 234092337, 251262715, 871583674, 708202001, 924990942, 7209880, 84265826, 331020973, 989095841, 654434562, 969565269, 705629097, 973558073, 19876453, 801569312, 414931590, 100209963, 807174159, 174345286, 966248780, 765800644, 546531854, 655843653, 591810240, 81590486, 59904298, 92458332, 818373329, 17568766, 227213152, 393674472, 194539410, 522949629, 318998465, 262696628, 841408281, 184957444, 302443630, 978293339, 944999768, 826992703, 703904031, 262742485, 461223676, 479976587, 666866460, 178055443, 140058962, 574826055, 43396201, 883157844, 1100430, 822103013, 482805371, 996917793, 342788413, 811373353, 820439793, 63576317, 644317482, 702280562, 720919969, 894880935, 570181239, 406126817, 845204330, 312886303, 303578803, 706573525, 391923267, 545772956, 838806053, 775888052, 584147239, 830059658, 254340680, 604802644, 762873258, 881414936, 860368834, 225765957, 473812272, 71126142, 787129499, 768471033, 452430649, 687682406, 769807236, 593438390, 391516700, 236363302, 140957627, 670257573, 958865346, 990662987, 844028463, 400827712, 826166663, 608590733, 775253823, 365915012, 131137839, 885559886, 681384904, 454368167, 452645885, 266394763, 239878687, 647591272, 967165437, 376655558, 683436930, 435207900, 795816275, 122365797, 808042663, 3825827, 642216831, 439197620, 14406671, 551005946, 979455021, 815453794, 27840161, 690923584, 983076016, 59433425, 960171977, 479493245, 224756780, 245817873, 422743600, 89326238, 596854208, 744252641, 477840792, 705867514, 901677093, 119474256, 285224081, 58741597, 153532838, 92335023, 379216862, 571176548, 932451528, 31400094, 686312309, 462978255, 923216750, 193479985, 872522624, 644375568, 413125043, 828762594, 803649994, 787440779, 741977358, 651332111, 48931113, 407553192, 417881496, 737324344, 798108804, 449116781, 633778960, 922454447, 973463214, 323445422, 788848060, 292575880, 461558723, 705916487, 687096029, 726037533, 667561264, 259681355, 86312869, 397909144, 193421088, 698189499, 617050984, 945640191, 846391861, 308329884, 490385182, 146570530, 27834996, 867179877, 513040224, 223719104, 807476131, 328425298, 773191152, 740315457, 390207220, 835344859, 712740191, 809327344, 593379237, 813879252, 892811552, 863875194, 85087631, 530507225, 481812116, 117877870, 544807119, 988581552, 936011402, 30756631, 847933477, 955829158, 342304866, 857986807, 446423422, 670791848, 596967790, 787560369, 791228088, 688328238, 265375739, 415107519, 2571782, 238040981, 628620592, 704503070, 80228612, 633766433, 393690909, 404720240, 402145370, 929445195, 361706511, 479572929, 187055390, 463636893, 283967160, 378444422, 446084107, 37628444, 918486384, 887878761, 669351880, 496523265, 453860722, 617370930, 248600918, 319176341, 807384744, 787923863, 600256309, 39133972, 278097765, 733438333, 745139819, 627838016, 575761523, 188898676, 843997370, 202600987, 132200795, 405364877, 703355813, 672736471, 402752874, 724454558, 66721677, 728393002, 502746254, 273009679, 943007699, 77480715, 422736081, 805996196, 793589789, 856581890, 561842743, 353465053, 39133127, 85230213, 329079545, 55275548, 677675112, 257025525, 883975814, 704536425, 801303103, 618712365, 395908805, 319044795, 952055233, 910606518, 826565411, 200356867, 608037858, 498455292, 970134255, 338839518, 397178794, 862234794, 97082413, 483604989, 757382205, 666491826, 606948757, 790183583, 902178932, 344908722, 174506800, 873042807, 748384559, 914883879, 556988886, 19707308, 820079746, 992717644, 132689692, 764892644, 621734646, 336626291, 685323659, 904122876, 831427268, 663429281, 556288880, 386481658, 317343377, 490720184, 762243254, 755511594, 934658630, 997732619, 559096976, 506329727, 246861293, 500756815, 454165964, 28052999, 252975746, 555568850, 996224232, 36576431, 641577844, 967709774, 817682973, 789354099, 88071654, 516105950, 911148441, 354644128, 431732829, 64275907, 928787475, 366980244, 204020300, 241937554, 613501692, 736798555, 539599850, 78006767, 309755482, 231388479, 738373856, 223982168, 284090605, 203372172, 197456543, 162067322, 395990965, 750549652, 994801286, 566059177, 297123330, 883381832, 684351869, 153961313, 915312875, 22721509, 337175844, 643329057, 713595604, 291564721, 676303368, 549034608, 81395479, 553929469, 214060126, 1029583, 524206988, 813036369, 769172366, 165194077, 313376366, 502379858, 107844553, 92548988, 65443299, 450581244, 427838475, 102304873, 843569048, 487892343, 920103589, 216166967, 34278329, 299459157, 578814462, 848327647, 108446701, 382738630, 113794782, 123116233, 689424553, 614233790, 501727886, 726348979, 62688403, 264819659, 10136182, 228847810, 772624788, 20472823, 363663608, 814273889, 204446917, 915215338, 974066569, 258749485, 629758716, 542414270, 445752218, 303913029, 438949846, 512517259, 134292603, 847405242, 169063776, 282323951, 885631239, 477835165, 483224783, 939707557, 797066191, 893398664, 859857487, 994832155, 336009334, 831772370, 779205891, 499925574, 473169465, 200126511, 851924593, 269575133, 126301593, 525422348, 40271292, 51895092, 660112941, 391620661, 835955351, 466149902, 50116952, 740155238, 899805505, 253352349, 837231837, 265027343, 199480759, 691120059, 788948306, 607247576, 165538620, 873512678, 623455768, 819444741, 595287256, 947922041, 326462531, 373174830, 812049219, 897382613, 398991397, 482803763, 743892995, 700456812, 568397645, 390697448, 570389764, 258763728, 349104835, 348576360, 517544542, 368656049, 793263549, 132224059, 499335499, 630671522, 381895253, 38013230, 960756510, 718529757, 405472687, 849808641, 454277416, 365816955, 438542796, 726366258, 558400119, 250673195, 26392865, 571592525, 347809294, 844006044, 984377169, 436211774, 609819842, 221006792, 356267406, 759051001, 549404900, 971675571, 583018494, 612373244, 467784740, 197898351, 170571231, 266492929, 818350935, 188961635, 154447928, 980695873, 474888976, 449981565, 540045475, 923372488, 970318479, 937107449, 927444914, 641877117, 586411631, 743208361, 463251508, 738868453, 656639117, 381863005, 750689770, 190232977, 466457833, 880470255, 921193273, 638859999, 79179216, 666235349, 603825134, 645004915, 199053719, 222270308, 195242620, 584773589, 129602716, 999970134, 965958189, 50233019, 204581605, 514177962, 801418967, 349096876, 437007043, 696874279, 454942869, 446278432, 255728452, 317795954, 57244220, 815486881, 758015678, 409496625, 479029996, 737111165, 989260795, 599515069, 423297131, 153674739, 35705330, 628980536, 960480772, 641055015, 719101866, 84222850, 90241041, 499186039, 298154557, 473531982, 487430621, 63280298, 3667743, 303836336, 363120326, 259372254, 730068192, 264629856, 617006795, 372506776, 455434497, 606415223, 172223327, 577118158, 225144301, 911356451, 901416976, 547205404, 495697065, 475332061, 529274056, 958172747, 453679069, 51968705, 753594053, 950398232, 245909563, 619499106, 26856622, 413582687, 303664036, 331925226, 353094350, 873299542, 162029097, 405897126, 108137676, 812406113, 668826721, 261385555, 157356200, 867868674, 33671962, 772597645, 926994122, 768320427, 908356500, 997039290, 140085145, 443553926, 998262743, 191017610, 22967719, 72328040, 693591425, 81504653, 656271910, 654845861, 957828571, 891194798, 823431160, 264225635, 740562467, 306566928, 643757593, 310501191, 310442803, 962321158, 574886071, 423249947, 974109728, 528031610, 47658248, 910884070, 844287025, 270786160, 347519770, 26624165, 511066741, 966172820, 21043815, 337959945, 968224979, 373025435, 218406019, 138167711, 557266252, 312820107, 20752134, 421978623, 859167915, 302080362, 451009568, 679245748, 154312601, 889650242, 71880242, 618973157, 294369986, 3132837, 967757557, 263675359, 847066591, 379583446, 624107835, 78543969, 881633582, 47288676, 853649256, 910268841, 578672830, 413635229, 673403941, 464805031, 828468655, 165198672, 418292597, 679174311, 164366083, 134512055, 145818049, 826059545, 342064142, 111446462, 48122276, 714382604, 441445256, 943750268, 571768581, 136018635, 187644319, 755907251, 65575997, 422536029, 303484571, 744311318, 820818711, 486056402, 924364450, 784907380, 176016273, 43529120, 878737584, 339098936, 704342167, 452633217, 16544268, 54737028, 661604787, 127282809, 959020368, 747437709, 293908004, 981656425, 15480714, 28417854, 792548595, 91612921, 453473613, 259964974, 267026395, 372057541, 573895214, 804326076, 587470228, 269729041, 723908238, 853433588, 976274272, 795066001, 460428912, 874526302, 285260249, 621420986, 682968239, 44989433, 394071893, 53194464, 606182771, 14619781, 310246532, 220168351, 100437291, 314054631, 807375075, 492179756, 997937382, 47823793, 873226831, 919774859, 701049883, 988150835, 466569589, 607683131, 769909548, 508917733, 737024072, 776102385, 273083066, 593327258, 779776598, 3148777, 556641527, 786205334, 104806453, 570513293, 465625414, 358464159, 694613427, 289477265, 574043257, 528896410, 754731626, 440267685, 658186964, 473453267, 645002088, 760168168, 79896964, 486822901, 504673673, 41878941, 71792760, 479403213, 132130855, 274910856, 348773045, 213489497, 544279947, 537350164, 40931800, 674503136, 511639378, 587013116, 261225389, 800766927, 763984733, 671370680, 120833663, 924869237, 107892284, 565988401, 943079096, 158784286, 244297833, 500527267, 524721037, 532677338, 251803295, 335260529, 284844198, 752517155, 124363465, 710552459, 332085986, 79092330, 751263458, 551077211, 73414440, 643730784, 389668684, 340316086, 831210441, 267281839, 622879012, 438515497, 390822591, 320749978, 890562676, 803885122, 910755593, 512062404, 720873969, 894084459, 628884045, 982391617, 278350352, 535939301, 200701051, 795800066, 622940788, 743493482, 98522656, 693357568, 405332838, 377272662, 607869130, 483994213, 459432220, 87985441, 941062596, 866534053, 980379818, 191531664, 562473589, 162655587, 397516031, 611580019, 331477204, 95015624, 465362285, 202721448, 520936623, 731475497, 318086982, 265108273, 990136136, 835194661, 780111882, 121260507, 88857256, 996759562, 776559982, 46526888, 616335369, 519110347, 937557680, 639772917, 942290618, 289797867, 880600726, 445952974, 704760491, 404449045, 275747462, 505402523, 5990106, 302393344, 630314978, 859479603, 236913322, 343791218, 451726654, 195935068, 10236036, 61973998, 968640208, 193712913, 520009635, 795118110, 6173351, 310094144, 344296550, 729377633, 534602065, 761823237, 695295524, 68291470, 41748188, 84897716, 358277357, 939757181, 249391120, 488878174, 861289412, 5196668, 478317741, 565114580, 107510506, 737618625, 471462912, 591103894, 228963424, 283224790, 621236765, 222867756, 489617399, 638329380, 972272505, 398391465, 271170678, 149837526, 678867865, 553424057, 394166688, 371382438, 245822891, 369182065, 635850771, 286409873, 210239318, 79061340, 868431399, 345094203, 197021628, 95345090, 178470248, 350494693, 224568562, 503752723, 443789166, 226410346, 600605603, 674328975, 881252885, 25815293, 703715792, 388104418, 673778929, 878732457, 412131201, 536477784, 534127503, 628545107, 804827436, 899542643, 120606461, 271695886, 603161262, 605982580, 384990338, 384084683, 34183036, 50053457, 242032862, 465621844, 927037988, 787980469, 408634719, 484860233, 30891031, 222640075, 804701580, 739725524, 173141450, 515495560, 166375320, 150455553, 635583748, 192596914, 408647982, 273144891, 356685517, 241334250, 199629196, 522455205, 737241978, 515720430, 178366604, 880254257, 122448141, 795859798, 930216495, 762179922, 906200448, 213157269, 710197716, 20771653, 320065923, 5170704, 818344462, 815145313, 140235481, 306949005, 589840447, 869064934, 348140943, 465030676, 246362399, 799672205, 821615727, 551498413, 277260682, 579970803, 566651583, 42593005, 74777112, 967429344, 195501346, 922716081, 421289206, 739420906, 64363054, 283561643, 275962780, 494774437, 789068205, 405024194, 483862352, 574899559, 401757846, 173197963, 761950362, 586751288, 797332811, 420179009, 214293185, 166939136, 88288917, 246795739, 502624802, 823131100, 691076712, 468242046, 943453946, 800375900, 408857284, 833916359, 190523170, 938467185, 331005919, 207920874, 409950005, 646392553, 981101106, 943435167, 481180073, 686764310, 767123520, 692312353, 774321255, 921967814, 809001619, 161139938, 441764148, 582022521, 101499238, 769939564, 533840386, 531579777, 323668285, 736056274, 840666616, 657510840, 848091829, 460851996, 977898731, 559440571, 672894916, 320328404, 729857010, 428849865, 39082340, 460149621, 838407309, 701979557, 316205536, 335721415, 727435818, 163661839, 483536953, 965923311, 482211940, 924904721, 770958265, 646798995, 616312214, 479728902, 846291599, 643695215, 569078529, 183678424, 956811652, 357281682, 158565183, 389459215, 506802653, 694834972, 569030765, 962594766, 197568975, 696617831, 684798653, 897889752, 159638959, 269150986, 384947930, 941378817, 32089227, 143966079, 609885071, 310665929, 203389004, 880013582, 743770857, 274642086, 698244648, 777801645, 213057204, 971672669, 316603568, 108031716, 706496125, 822259355, 656198548, 78086070, 551809815, 94347256, 571278897, 790215185, 47705922, 71968170, 639287111, 385332839, 647468497, 879013699, 474819, 229566440, 55433383, 49635426, 723430416, 504241394, 950623050, 468188022, 595692967, 100689008, 417117000, 602637805, 712672849, 274830924, 420749934, 794427799, 677488576, 946444288, 395791008, 185020432, 647004676, 73064760, 139983040, 787498235, 688419272, 117376050, 261963995, 45373969, 365604656, 233414722, 229962253, 787056207, 786475799, 143330781, 578170280, 766694378, 628584554, 940570718, 960758338, 863999198, 843329977, 977362283, 330390645, 604002101, 778730111, 700354102, 882215683, 491049815, 695211877, 25273529, 490965043, 587189988, 894285533, 205535004, 421019025, 266038175, 605854002, 349813868, 972233664, 107248036, 885875301, 959306383, 227029453, 126261119, 718053567, 484030383, 442840603, 666959150, 313955655, 26705224, 509065208, 250175896, 528714339, 448519785, 608417163, 774888833, 846182275, 581564098, 380486443, 689777931, 223153498, 914836395, 264017247, 117781674, 871096127, 317419173, 151071419, 363560404, 707465846, 650602218, 798964735, 935485103, 723848140, 234586941, 618372979, 150356020, 178471720, 481654887, 247048784, 737967599, 955165951, 18426398, 453713156, 508573256, 527643180, 35902083, 964802851, 177358694, 926352082, 230659029, 566442862, 596223563, 975248374, 322395264, 711042483, 31877419, 117055455, 81068688, 840898436, 113340682, 16942018, 652701609, 219888807, 542743087, 30097105, 276088300, 378988170, 237630635, 146276538, 988310249, 83514882, 629817785, 214085132, 43354895, 457226665, 667591998, 132693644, 70064664, 866199459, 44502383, 798469421, 598574541, 812210278, 345691839, 231217461, 176064824, 415685599, 125360264, 695401054, 109392523, 118624825, 787709111, 702504265, 966030590, 434722431, 174003413, 21423265, 888668493, 825099902, 747308511, 145109983, 441290905, 635269413, 225709091, 255811932, 630763450, 957003062, 271614243, 238057113, 799838270, 514105866, 339502471, 822050487, 35718792, 121798020, 206005197, 972279936, 859865053, 107969471, 256927075, 280127701, 121255451, 280256675, 334189811, 305041154, 886286835, 399829563, 842272948, 424051348, 655836312, 981162283, 206349521, 717556514, 845106700, 658131468, 635666348, 875715857, 610472065, 152940338, 10769513, 439985599, 793552322, 651106539, 354535216, 49423594, 194181187, 909819031, 136924816, 354824876, 534431338, 933938079, 534886236, 946137316, 526200772, 208675999, 734073212, 572187226, 70071580, 179946096, 699313791, 178447352, 930796746, 575050434, 842149214, 924900139, 576435589, 523898250, 24386557, 140794893, 654282063, 321944122, 769650994, 147540660, 5697624, 899154054, 158321670, 714222303, 691720688, 747091974, 994904044, 732136011, 222129723, 712793727, 176482280, 335966037, 247071565, 443339667, 976089952, 851321071, 183452925, 22259808, 163371403, 266303530, 632365062, 877258175, 477839496, 387700965, 726388647, 423064365, 958702329, 161883994, 29690117, 684258595, 979291243, 726287938, 613282828, 854452428, 975503689, 190855442, 67687636, 961216136, 631337984, 667140838, 21575952, 814611482, 693771581, 339989465, 310008587, 65439909, 790424391, 84458477, 712782284, 224104358, 278389588, 936843264, 489593234, 836398727, 301304376, 461312334, 611636048, 337159007, 623030116, 465615300, 548885173, 177563731, 605279600, 784132904, 654544359, 426207401, 713432644, 888382607, 676834909, 957891676, 694119415, 948702394, 364534663, 701826428, 475185507, 497188134, 943449211, 567925103, 516510185, 71682449, 394336032, 686011513, 342011286, 391274054, 278094928, 565612252, 588356905, 232538879, 246074463, 115803067, 220596762, 841581547, 237490814, 880073478, 740278801, 990336857, 652211824, 207942969, 723614743, 62693851, 20327856, 275464249, 635469666, 572776709, 126546937, 799866398, 448696935, 931213540, 687824346, 365929233, 2053223, 626886257, 908960575, 751307781, 244075911, 439316330, 787851180, 243741001, 181877165, 212687295, 250383702, 540528166, 217813528, 166153717, 175349348, 718000239, 837914422, 805251931, 441416588, 686816919, 656447579, 524584845, 984955876, 33671691, 254188249, 673365282, 244703341, 397145880, 437814423, 593206321, 540310768, 329893552, 240026886, 429401491, 560755555, 328945660, 772674438, 241598062, 712186625, 543770198, 683523392, 936172872, 217388681, 881256393, 16830693, 177459922, 857307961, 133514862, 125024437, 952179717, 81901735, 975807830, 107901631, 380931548, 308714936, 936549133, 373769169, 646779658, 627474307, 927773117, 850430874, 247160966, 32778553, 290958478, 857813439, 20636022, 272995014, 47241802, 452131722, 355217295, 128274565, 475428658, 313523209, 715590046, 703623633, 891588081, 975003476, 451195438, 950365554, 751444459, 223829899, 932568, 24086733, 997041092, 961159186, 468821683, 496100171, 164902682, 259713050, 144698734, 32134691, 985488502, 46053888, 444376259, 718688528, 886025773, 248825898, 248231911, 436210444, 302063961, 36613674, 100142069, 405412960, 16817911, 270939313, 863748780, 782779308, 476863017, 438373876, 738855865, 531345742, 583557995, 765481398, 256012346, 744142518, 507263450, 25378357, 837337127, 346107352, 309853101, 194201382, 654593740, 45413601, 378099023, 798805894, 696003855, 97624017, 839409593, 857756040, 326085586, 570494453, 829143178, 755607350, 418912574, 624261943, 189916293, 559793239, 448378029, 610113729, 701640032, 239506906, 370132670, 216923871, 503275052, 636732594, 289395910, 295581947, 871058864, 392627315, 469501598, 254218363, 782687545, 518696883, 412668276, 141950152, 674310632, 276205980, 904053237, 649759320, 472168606, 771631392, 237898635, 436502365, 512737339, 716812848, 969417993, 991929312, 657605570, 203529344, 232312059, 559653774, 511913864, 661022141, 902995986, 105710572, 582166281, 608880596, 828852217, 251459919, 297705125, 401777684, 366811408, 422175629, 562790119, 148074678, 846368494, 933896857, 904998396, 31627529, 404704403, 934812370, 518281257, 289780699, 366351383, 678352784, 915715604, 173940703, 139205886, 160978464, 159443480, 991666438, 733165363, 680841872, 796572076, 789460669, 556729601, 641797695, 18167140, 90168910, 851224977, 657419727, 114442594, 509532254, 888107870, 34934140, 16229164, 612938374, 328750374, 652761236, 857261256, 187001174, 125483294, 337853717, 201892771, 69378062, 908432279, 240643537, 795447968, 726500815, 352173812, 953996079, 683077433, 920792886, 556034830, 801272578, 148204342, 766693250, 544574657, 773475996, 493978814, 429888870, 252137705, 660702463, 314971045, 927000093, 399759496, 942883349, 945569157, 452203324, 753882962, 39658626, 861448215, 131993800, 316844327, 880360969, 700516282, 834299971, 2390045, 24587586, 242641000, 782666967, 506101596, 921765653, 297791704, 817888245, 978488676, 945060583, 672242654, 954174968, 104277823, 383822861, 105871305, 51120674, 867231035, 167886727, 997497451, 917766482, 994112378, 312995438, 866935977, 478750872, 859864384, 107484218, 463349007, 798293718, 672467112, 85007489, 421658114, 530800955, 410179511, 575990490, 190074907, 968465168, 741619989, 694381130, 25056808, 237888809, 166055166, 634440465, 95448884, 120840486, 187143398, 556101897, 153082477, 697723485, 581132005, 132706122, 597516453, 162324831, 674695841, 969706466, 860797918, 594141913, 194508071, 555005941, 77494402, 129875785, 117470207, 343726690, 261913344, 421145425, 652681408, 898601179, 134947368, 185531862, 922455891, 993647208, 547227817, 640264941, 475087705, 629496561, 226019815, 678020333, 236477962, 791787409, 641197247, 118984411, 160268209, 667393706, 152104060, 677530025, 127179496, 709596345, 71830148, 93188926, 176105288, 746200981, 300681468, 817984475, 404155263, 467789638, 130847810, 503333987, 442143760, 42516390, 997047347, 395296136, 121953134, 345323133, 469682553, 363512043, 759311644, 709359054, 982521659, 851986742, 171496031, 682091849, 508035342, 859286783, 643931777, 157236269, 477647717, 166085004, 722579272, 748027468, 496921621, 425306271, 56460017, 151303918, 755080160, 279256672, 227574876, 16920993, 237875084, 407857424, 63952313, 837039229, 654836389, 433857032, 285422046, 376552965, 882811803, 552255329, 419077537, 470042296, 253731241, 72034593, 429012430, 860816187, 314969002, 339096458, 313203811, 825557332, 77805563, 423545773, 472199798, 950303581, 914701389, 622022737, 942687380, 635283630, 174247379, 453269500, 682371585, 995462949, 384579795, 323560956, 429244367, 249952353, 152914488, 702217307, 198006366, 769376045, 500446061, 831291705, 596830753, 414073223, 289909077, 667922324, 83010679, 500824587, 587018739, 738367386, 172762335, 98592425, 84623223, 264478025, 671149297, 175479375, 696715034, 684972882, 480974093, 855886456, 482943954, 598234149, 172973180, 428123645, 639537402, 286581942, 91256900, 158507754, 870610752, 38257658, 868150238, 146350056, 547824412, 400211160, 376984086, 111790599, 892390107, 436845036, 945418013, 321578301, 522500443, 973840201, 495795310, 172701803, 497025329, 549532880, 585031586, 268462585, 28850932, 306575834, 329531346, 644293431, 910620621, 188297542, 567667286, 134973418, 377218507, 169385488, 959675015, 780033530, 686766625, 771756327, 451873460, 725246748, 948132693, 714235952, 58219198, 182581539, 871339263, 251662230, 390162300, 206753362, 996175136, 78316066, 134614369, 520749387, 894919602, 461380291, 531962253, 647286150, 65340310, 701288768, 2921841, 336309996, 329939561, 761650007, 748996323, 575843864, 842077096, 6993788, 215382838, 489077595, 101446301, 74967471, 741394266, 894600557, 880908037, 354994785, 437953348, 31796653, 480624591, 651487197, 803289400, 909192009, 644685447, 943924986, 463148244, 417164605, 494797876, 26415924, 374491051, 657552247, 494207716, 46757841, 237396748, 569342668, 322575053, 526927666, 800478006, 225456051, 586439460, 330777277, 548699151, 147109473, 691875374, 309265165, 960473003, 82074737, 161198297, 506873213, 22088830, 504604167, 165179104, 40567993, 374757030, 465938377, 360191472, 202175185, 173392799, 114665724, 562688824, 86906781, 449429624, 793793612, 341428026, 911351165, 363735090, 386228142, 379036790, 374858679, 173138815, 846661075, 399896092, 303908836, 558207450, 405212689, 563117315, 574506735, 367277729, 186181511, 304275957, 125253927, 201184901, 172764816, 633071616, 18228695, 191110523, 83822766, 170548392, 106591641, 948081276, 317468612, 841011521, 949512935, 450286781, 518783474, 599543883, 870667826, 468142316, 801950169, 347827379, 390022414, 164330383, 857308635, 568863533, 305017649, 418724381, 37466849, 762060078, 853188133, 81869546, 154868006, 552536051, 601208878, 534306146, 368993056, 794258316, 992556723, 60593559, 582834420, 327556705, 243328030, 148718277, 387569811, 934289187, 73025211, 68156096, 667547910, 906360413, 937245665, 898194774, 772173656, 378648639, 21728081, 212758620, 155014187, 829477567, 90665635, 210270110, 147150037, 74076575, 638144688, 931009703, 688688730, 119254181, 140060885, 257662338, 202162732, 322070921, 559344556, 235898513, 776131614, 718544612, 782366569, 524848084, 281248351, 146041453, 475686813, 350682414, 79458615, 90158529, 328207548, 326297532, 12590192, 185141375, 58642356, 841379988, 615941862, 142561788, 475858309, 363831118, 770489347, 381593028, 134377733, 335933734, 22773633, 385017363, 939631378, 249906010, 806483139, 115564447, 529443122, 61868479, 478196910, 119499794, 728210282, 532169554, 408192404, 945683569, 969372995, 173824942, 162475143, 25483873, 67364572, 43523643, 349786713, 185217021, 839108952, 827544284, 138283401, 449778489, 275226028, 665891234, 696746612, 92061760, 704966768, 561527910, 214262485, 82723536, 147804570, 360482843, 215656052, 675794614, 705531899, 958443571, 826005136, 709603941, 645720308, 639796062, 227728059, 298177492, 623507842, 461719658, 58455899, 887525459, 115768428, 992499276, 522923444, 239330253, 241529911, 240037491, 653168169, 192236885, 353807552, 545874745, 306803682, 33225978, 683026170, 799840669, 225769538, 657201408, 792059566, 636480042, 256174319, 926153066, 196996619, 433259347, 536959537, 555239707, 504681861, 521027554, 572909195, 926632720, 613757564, 799922825, 656160426, 853646302, 304546885, 924700588, 444972969, 982588341, 921014669, 621786721, 764695967, 942509676, 362267422, 486813154, 900610444, 609460336, 861646296, 998665057, 438902376, 391512054, 24365420, 335929992, 375176394, 842737796, 835430423, 566770338, 860301698, 623154136, 435257796, 484249021, 368162132, 336192472, 811936726, 257895890, 402124446, 257386914, 91623178, 50120098, 99225201, 79204999, 50169195, 451772892, 238660591, 390041067, 620024254, 817660275, 927730343, 258573729, 270059533, 148544460, 771031637, 136209646, 941400895, 739762794, 381381441, 328795222, 565593734, 795927437, 398332956, 809484676, 521018756, 862242500, 843078520, 659334479, 900312741, 4546535, 894696467, 138027774, 799927174, 429868598, 973739591, 231987266, 760360819, 483605855, 46062837, 331046640, 137306217, 650665303, 731660714, 930346731, 661626285, 785510359, 520955060, 362258551, 430444, 708797497, 254751385, 985049799, 765805107, 562110834, 598861304, 234167252, 374603604, 271289826, 337107575, 533130098, 390975048, 542060877, 607424388, 320661448, 449551351, 104623404, 630633144, 863374218, 927831650, 46466675, 851355121, 69450494, 507162300, 354110002, 662901268, 331164902, 741035059, 85656378, 387244694, 128087733, 417672297, 622534218, 531867296, 419116948, 680098259, 426719542, 762681129, 33216737, 769071272, 757078138, 370817494, 360853768, 73231408, 466951809, 103465742, 187452234, 373775765, 899510466, 741160667, 302459525, 489570216, 194156998, 413854778, 470876855, 9344347, 311581419, 425305137, 647881409, 863270455, 492248097, 106460509, 926546929, 804812870, 732915392, 450931185, 785666398, 532334683, 65876972, 979656592, 919383540, 831745720, 77745461, 60221636, 690846033, 579534977, 902419931, 630326662, 594168420, 356547642, 554065279, 138618844, 496838004, 740457307, 935112395, 753300567, 481880920, 523094111, 137032378, 747935064, 464768117, 740549173, 705850608, 996794061, 612848867, 728769289, 882454768, 945726178, 338876332, 840641174, 299712055, 538372906, 123306261, 107901338, 561172934, 763994914, 427260042, 832095400, 881402757, 706884759, 277793946, 208301942, 540802443, 138208743, 229741417, 884534816, 997309574, 915830288, 345310362, 481461958, 151410834, 725967056, 228529339, 696073415, 771651291, 760920088, 898706005, 760136536, 248705596, 747138945, 148833661, 181865015, 861704246, 888085101, 250737379, 496002020, 732760453, 832177595, 821079397, 346442896, 923946490, 407545873, 347642559, 508686268, 762084477, 452184697, 523382851, 130668425, 960964395, 165234366, 477433246, 558890579, 951934247, 264687535, 794691581, 747131492, 744113593, 808568492, 603326259, 522838977, 579718225, 150581400, 259180960, 804194318, 508193020, 775721498, 490703202, 998066529, 151293238, 953699382, 140021083, 584214691, 234955870, 759539668, 937804249, 480964392, 402872967, 14297146, 317394305, 376458606, 358192909, 665300754, 203857157, 2537787, 505757957, 464750115, 869053089, 924973041, 465343813, 283956523, 856861331, 873760574, 96618303, 397221152, 189929252, 497548463, 989941701, 848293074, 339944593, 944396836, 312410650, 187977308, 67641374, 56412432, 578521856, 78189752, 769409679, 792868285, 342065721, 859096865, 618841702, 635215588, 365768059, 984295959, 79807804, 171841219, 928335981, 502351801, 55596915, 9329444, 264279575, 543971160, 918784838, 912751667, 302901153, 994304106, 371005700, 185068122, 469793634, 812799295, 693836133, 511599547, 7020636, 522401532, 87255130, 143464402, 743080251, 803022592, 435429013, 752377992, 536466256, 573040946, 348581226, 534637752, 903834368, 632901180, 209629009, 226504595, 683495778, 137635280, 667746476, 102600186, 257971611, 729183647, 606198649, 730745044, 290415263, 999582515, 906861780, 630115984, 830877405, 719005346, 382946381, 345709305, 636798390, 477365459, 792676008, 606619821, 561159895, 536629381, 524500206, 12657640, 148527931, 292234292, 480784360, 532678523, 540134186, 671872508, 555212654, 465234703, 31309666, 529294837, 966306736, 544947567, 114866766, 36918679, 434402941, 826282151, 506492560, 742616890, 66518472, 902213140, 398199551, 619248374, 407311089, 532501229, 911601290, 951342188, 946673948, 3489547, 569420136, 292652731, 334676511, 607154937, 82989062, 785917518, 522642677, 868480025, 606469484, 15163149, 603265611, 921390363, 142993439, 31091322, 352082009, 198131027, 497135237, 924503577, 887749018, 260060250, 474589637, 582920218, 135168810, 307221675, 750053358, 252527291, 57575871, 358456715, 459435296, 199258252, 423598607, 776552944, 596484693, 4659253, 759187480, 346576223, 951240952, 288181201, 999793404, 846754321, 577586476, 281923166, 523806504, 993627722, 261695575, 76751819, 488303642, 918171506, 57307341, 926081655, 819605794, 395259729, 283184801, 847914162, 679638098, 625704556, 794565986, 136807078, 797327596, 244125396, 825632231, 535005068, 148616822, 364307201, 787159611, 120268515, 237496999, 724444323, 471410143, 201900655, 186584042, 209304545, 32893109, 744174619, 86113303, 172078727, 838547720, 173355122, 132050108, 864615849, 622774824, 920521259, 434235822, 576046766, 447401221, 311311058, 27833745, 3315810, 338224143, 74525666, 30456560, 35732148, 138703640, 464126587, 358715191, 327680600, 101855122, 72043779, 776541624, 815561232, 246272235, 747802497, 182560708, 218064557, 657509886, 67363686, 225855540, 542228353, 809655987, 345971543, 161575631, 384860044, 960957067, 859974286, 443046604, 127481904, 292070612, 742822210, 579032061, 148784930, 495001182, 981127115, 192165566, 313826231, 926018367, 926741440, 411976507, 32888672, 264323297, 688953091, 703219983, 910207425, 404302366, 173034259, 392063327, 634545310, 402595138, 883709030, 609922214, 805362501, 600651196, 480054806, 829569679, 356775664, 315424491, 658707429, 128893240, 774978688, 408515427, 533189623, 861218776, 914251327, 951699258, 83042959, 377826609, 512605907, 971484453, 310484571, 386790272, 827112343, 184068727, 387827907, 939616879, 955733570, 689955168, 904481086, 758158714, 167633397, 639937474, 232429141, 81849297, 999611815, 153933765, 473088159, 262695197, 391860051, 713210863, 362912785, 922040160, 308770874, 554329574, 643956647, 470658298, 531761690, 541669159, 464743740, 742834201, 937894411, 165753613, 361459163, 929042673, 851527686, 378776718, 586256033, 368114238, 358578696, 790298912, 704452703, 570548812, 936563430, 898337666, 773881724, 332244691, 491417236, 368429036, 44818062, 506908588, 483563127, 900532285, 935416337, 243734018, 865132997, 271088203, 42350269, 489224031, 147578598, 292656519, 284622587, 928806080, 148540941, 366442025, 349425442, 795216291, 55128573, 101785395, 998467658, 381330123, 849072808, 337407574, 117776242, 864388937, 14426344, 401590769, 763697975, 286554770, 529102332, 564812194, 525614028, 781373615, 709604252, 466627912, 568191606, 948061833, 894313503, 261133659, 266772125, 142330325, 150546359, 733489209, 290605388, 981211945, 952990165, 537078882, 692045038, 782477825, 7384379, 300586464, 20684335, 564298757, 611810844, 902077436, 535689825, 787377882, 987204556, 132196148, 385526839, 392701902, 631983041, 268029246, 943087957, 548096225, 233965031, 852978541, 750119142, 248081047, 423831132, 203804983, 561451936, 622267015, 927885973, 306757580, 619368790, 994451595, 663804613, 545276237, 563175555, 116096580, 972097057, 923009568, 376837530, 300205274, 749285296, 98592441, 785549582, 31170969, 853546481, 668350998, 455289311, 11570424, 743387457, 707511167, 348882754, 172619954, 372708412, 972041870, 712974950, 346400108, 273697351, 753243296, 537736159, 913500283, 726658946, 531871731, 505308041, 545953252, 782904417, 891585084, 433627630, 692819713, 811756247, 594735726, 593179207, 174481984, 439208784, 473838655, 931104947, 819569220, 364687719, 307091330, 152992154, 778965411, 70008022, 858001317, 701273070, 800318140, 686353928, 455236499, 960587319, 837135748, 23033324, 448733118, 988814103, 368637194, 929022977, 983820479, 468624373, 529622554, 54265359, 693686093, 586898227, 525558570, 752614722, 739699857, 900736607, 316633860, 734801657, 408492474, 921326165, 153545320, 100666570, 798440233, 65086200, 337653083, 289486764, 359738895, 152653712, 150038006, 659282004, 748049998, 796398617, 633206511, 368936219, 390622841, 953054045, 324413269, 856715395, 587876650, 463510625, 498168333, 724607967, 105908302, 983322076, 183852331, 240032408, 362025768, 69532121, 312106189, 6976115, 343111377, 191411125, 692079552, 168295145, 60869490, 580471168, 146056223, 806158778, 552740516, 804552812, 295633386, 697567156, 386873012, 587801028, 180313774, 973932128, 679779322, 109642043, 220805832, 324914313, 591026687, 359282024, 502418639, 514090714, 143735026, 278152243, 760941011, 737088487, 465386552, 939429334, 734549724, 593327796, 469949296, 916584529, 669348786, 181105413, 860784898, 177256286, 790373768, 165710614, 160941365, 448566165, 232291363, 97360780, 200355626, 960692337, 333438664, 351214363, 55396128, 859848795, 241957996, 132883384, 157016800, 902918308, 160285814, 39327559, 472002100, 871733043, 678655633, 447188867, 307765163, 380480662, 645653370, 272819082, 48618364, 540404861, 390015919, 929841222, 90637755, 874431330, 549450830, 792920922, 236915471, 988975483, 70642015, 870384664, 441175914, 143321101, 886005383, 143996174, 336918263, 463967985, 440209484, 83814922, 753215934, 381025259, 443702872, 328182348, 365558654, 106173553, 190221224, 838182002, 873571967, 300297228, 969466036, 985200568, 192121969, 373794360, 440545410, 622830561, 963023399, 519275269, 515148896, 549251011, 835005796, 858221835, 208080003, 634896921, 527642309, 430653849, 937502324, 543424954, 288596549, 849912046, 763392655, 426659562, 583854054, 213340960, 339360710, 441625836, 438417070, 608867048, 736407610, 707179452, 585247913, 33618873, 954189456, 581685223, 578856643, 499272296, 277025268, 291365709, 297306872, 137304232, 517574090, 556180295, 334106705, 156208515, 887848946, 22190045, 799627073, 840783171, 259216736, 464022750, 754993013, 802922363, 437544373, 471047180, 783997981, 383678880, 994758943, 432232076, 568516993, 569227698, 56076404, 577736470, 616873659, 62903022, 534094955, 838752546, 18461256, 530085745, 488340541, 467292489, 705969930, 995352663, 170056798, 290188835, 237834301, 888311774, 968347677, 319347422, 318991644, 643920433, 441526449, 179104338, 589373578, 245497220, 161743446, 720970751, 828435313, 696435840, 10910918, 90019267, 874673722, 164281563, 926728909, 37402580, 330174751, 699225650, 411822758, 16422681, 604450824, 406198713, 985832569, 856436104, 321748864, 593992021, 103153241, 593759034, 316477763, 899445920, 797751181, 261364498, 359642242, 853364879, 386834538, 881994851, 859237396, 465231619, 777624279, 637982356, 21975150, 350558218, 360359366, 103435568, 941206151, 718823880, 556739335, 52140885, 641002407, 141156012, 211177431, 490892171, 890395219, 479678772, 496466921, 723343490, 5575014, 151045353, 813393583, 938384101, 741473145, 946358568, 693808562, 558457699, 691246275, 962741524, 459647351, 156173685, 462047687, 149877049, 815818893, 977269899, 187977746, 943658597, 214410271, 332927349, 918391399, 680776036, 290533981, 821447543, 169145596, 708668825, 151855033, 90872537, 880746529, 251862564, 970262298, 435204075, 855612714, 384924750, 475325868, 979103170, 415518196, 368560062, 334413265, 147072057, 199695724, 796087006, 546571039, 871032754, 282098848, 281356002, 57705305, 492437763, 572715515, 531930672, 385118161, 271977065, 227695784, 491063490, 891523751, 711944931, 548493093, 242809237, 463360090, 25609939, 596883499, 122702736, 679328193, 541590417, 897605195, 784034284, 566266217, 838174210, 987127862, 186202747, 611923737, 10786901, 235691190, 578877026, 157935828, 186909870, 265568128, 514133804, 576536566, 844251987, 739226238, 93586766, 195634136, 672324743, 441433748, 178137989, 670678808, 310792565, 531230523, 797698100, 685664974, 836270614, 80825256, 935412140, 30182119, 290100737, 399159858, 250867787, 60499126, 60893079, 895758569, 759630979, 209679371, 147234962, 192983216, 336734179, 641190788, 218803753, 836495529, 697086796, 69709590, 466399811, 463497675, 962431339, 855253778, 205848600, 650856665, 300218028, 620866228, 252678536, 566373393, 664939516, 657825782, 328058215, 756526842, 880336595, 836774095, 981038499, 50863285, 335359838, 213554189, 882872497, 960308938, 255286736, 976561121, 349614818, 982093607, 994741338, 903063645, 49583351, 350151087, 713557257, 68410914, 313456411, 656733632, 619282563, 832167661, 92021600, 336447619, 727461282, 76646117, 334358270, 337198330, 140932798, 166090209, 173527799, 883361171, 119828921, 66134120, 322874673, 986111699, 344602195, 215248502, 449176224, 276149440, 602945691, 64799117, 98869846, 604889311, 854275256, 601148626, 726948686, 906872933, 928314663, 800792606, 704801016, 568639149, 383796961, 848147918, 507993710, 376159438, 289966358, 923881701, 937874538, 166751778, 205267078, 79771387, 982258111, 952875031, 962761435, 141593639, 414479701, 532283024, 283975085, 340645540, 491056088, 474908665, 639518125, 158501447, 419635491, 383098723, 631784845, 501504284, 887212575, 964774395, 615209831, 999233560, 763767416, 149082431, 70763103, 115030657, 599982493, 569779811, 7028724, 132266735, 507000700, 753487373, 453129007, 619311309, 400104940, 934477582, 756852663, 938693160, 297603918, 41428249, 769432013, 770919433, 880220045, 108832111, 856654405, 822460990, 444099539, 765985351, 541704445, 659139227, 419539079, 436609583, 562231037, 70987482, 615827124, 782387992, 833864145, 788118175, 616848003, 583841824, 872602066, 597290616, 28532339, 233888812, 718386275, 488293222, 405414770, 107461697, 616691384, 697164613, 724920976, 326601578, 510583891, 864587038, 738795575, 669715256, 671697049, 454114342, 646115064, 36753808, 764075544, 469908780, 748347267, 999261756, 486078165, 610465882, 595880113, 79448527, 600423849, 892405858, 197007609, 847516391, 270291663, 921157202, 619844161, 487595440, 136042957, 205648567, 683546128, 315910276, 431249888, 959070058, 843829366, 697738403, 326573055, 708112024, 882162891, 552732300, 969477687, 919669977, 577936631, 585966407, 926460156, 857508081, 676403431, 197202501, 652013807, 478614987, 559497731, 341651193, 195191395, 488594979, 703211053, 165341756, 906142481, 292084696, 615463509, 618228990, 552519620, 531491759, 306831921, 722567092, 645303904, 277478012, 450682211, 898367516, 72058684, 500334307, 575384738, 456178382, 327594383, 743592973, 996449644, 345007412, 691174351, 30600114, 875427987, 744228945, 521419564, 407530028, 677625356, 907585339, 31013652, 253778672, 109597141, 664090339, 375949512, 10159257, 368304795, 554114605, 977977756, 674023777, 482917202, 861621751, 481902756, 664785386, 486167657, 405414970, 736476425, 61015990, 831984389, 312371054, 816674110, 222733564, 180566652, 698158443, 378484619, 150013547, 79625341, 802732791, 726720272, 930730374, 248129713, 381072985, 970652006, 904111638, 301635787, 205800724, 251925163, 727932004, 742200255, 662708133, 87259305, 249874101, 742783418, 548777916, 747537650, 537207025, 115391342, 186168306, 129834595, 731541131, 172817269, 210897938, 580929538, 934148815, 326873979, 45880246, 761634460, 759070510, 825136576, 483869540, 445648461, 783171460, 562381775, 736635581, 291095356, 295968974, 590652222, 505338102, 580525909, 323121504, 72910151, 601420103, 396221761, 427838409, 944072551, 981077005, 208850058, 686320627, 423714246, 517565118, 434472814, 146025103, 838733092, 550486522, 322576509, 274060018, 149362446, 532441107, 188193049, 998600213, 212979904, 426070412, 183759625, 734085114, 404667675, 923539566, 78341383, 969985267, 807506811, 615361360, 495263785, 417886699, 735514374, 13987456, 415670857, 473473267, 339930237, 89585419, 723520532, 214647618, 515495219, 844398327, 697466621, 834659741, 515485745, 793474819, 841165598, 783121405, 130059915, 789137472, 186094640, 596738261, 993561331, 512883807, 263554114, 519848933, 434153692, 622008899, 419673224, 454732060, 159708754, 38348117, 479781176, 499284625, 888067780, 267146435, 62513036, 946109138, 249807078, 217107116, 814297851, 761139524, 378497293, 457348187, 727861603, 996832215, 259340172, 488438111, 210586378, 319484377, 690443462, 633822308, 631356551, 852325627, 871113399, 904650441, 971975591, 207926141, 270245251, 172925401, 15181777, 336652880, 885461121, 159228947, 620035981, 936932688, 858191529, 9896751, 168845605, 562801584, 433657591, 182839930, 400130920, 152215166, 426582897, 930016739, 563228661, 741447608, 554463746, 25332863, 667822072, 514548901, 58359018, 494800919, 222998686, 989461484, 105724262, 543499597, 476116921, 598024180, 481182858, 631882311, 222757132, 300831519, 345052233, 641633137, 674552773, 421498643, 189433942, 136466827, 744705535, 118438744, 489246312, 233656048, 756236867, 74779155, 235176059, 906589291, 566506135, 412521115, 600625956, 154083061, 981735981, 136129602, 98387211, 375591548, 635958061, 274790559, 448518396, 313518094, 857800717, 605993596, 15447884, 272621006, 124187483, 325430772, 92826058, 837586159, 998305175, 516668595, 64582348, 998701830, 960989428, 636109612, 785883533, 567133035, 742129337, 566659012, 216529779, 455491595, 171061503, 444807542, 806779366, 162446093, 145109581, 168713434, 100662475, 969680682, 144646927, 275668537, 452993593, 742372181, 985466796, 316852186, 492182759, 148014244, 711391363, 454636125, 47596124, 867461713, 864229826, 314324858, 706106121, 753266844, 376808277, 283730412, 837763349, 394938644, 363313185, 537395046, 459463961, 204779357, 726861414, 380612253, 384029618, 589294402, 399547522, 467411206, 892236031, 171050155, 590028002, 103387382, 629690080, 805395014, 422947072, 705076762, 92644958, 603177096, 141213642, 329794242, 176914774, 931278524, 822499819, 873193415, 443863583, 479609661, 693357233, 38098964, 364877528, 871551457, 726126803, 238463909, 727643975, 426556602, 288959041, 941449184, 518093740, 238104667, 189383576, 786947827, 132075658, 121196326, 767801986, 683337924, 855395332, 361083683, 529157569, 685403735, 39561231, 389329136, 15712411, 454444807, 420958612, 496216943, 599522405, 90466094, 777721992, 38424129, 923838186, 580691169, 425491997, 918152906, 272600622, 116892578, 278311114, 710220426, 823861300, 880849959, 763300524, 628321595, 560531612, 302300511, 378213951, 833084264, 325870331, 850451252, 359430513, 323689001, 190706320, 622852217, 50554328, 595669296, 934847430, 891683275, 5900879, 841015915, 54593795, 559767624, 831819467, 223165046, 576789703, 513262642, 946427613, 863526652, 295707833, 183908360, 480848400, 686383806, 946172830, 215327513, 881662550, 264037886, 918639149, 851649193, 175515540, 752702286, 262372706, 558189581, 963081953, 234577763, 300380744, 644267786, 979814849, 823266768, 795530277, 6728557, 923226163, 383664867, 15601581, 348718733, 184797403, 785997609, 413272067, 242602900, 106837045, 898947432, 473678133, 723977431, 769952878, 386656480, 59588996, 262342840, 482463914, 368070846, 28936275, 637469017, 760199095, 160193144, 990598129, 327732191, 96712132, 545573759, 105628870, 748870511, 886456091, 495694939, 4748788, 917731239, 696703153, 760778742, 464864061, 562250007, 180601434, 690306033, 264292000, 755162565, 751910290, 152330738, 471406964, 520051007, 431262608, 869287489, 558604664, 44601752, 755977033, 482927789, 58617493, 974870791, 36478812, 922213904, 213032063, 444965951, 390117392, 215799152, 85756782, 134140803, 430771310, 163781821, 64209941, 551403399, 569625558, 267617159, 672455767, 591604607, 621182131, 101723902, 922702678, 452821175, 512946800, 424192428, 555152494, 791037774, 516330924, 215523184, 591206380, 146045520, 576381483, 79145897, 64968289, 564056672, 101100546, 950261941, 329297182, 284682611, 923524085, 881334633, 133099915, 632662202, 161030795, 816095861, 98825160, 989055459, 120933761, 236651295, 930696083, 167574638, 813641653, 221158219, 697040754, 438958669, 497364058, 478148310, 200089678, 736866228, 148512300, 603478327, 984587667, 390792129, 74576650, 850380598, 163904710, 549573146, 324397856, 558850560, 926022818, 869008462, 546158153, 149498924, 257923602, 823736354, 589634072, 995104244, 777948221, 782864030, 629522915, 809714646, 628847804, 638048889, 127714928, 612254149, 99388306, 132571236, 645208670, 283193544, 387930477, 803140439, 606071833, 343060020, 678920279, 461089344, 647114388, 192280669, 551612045, 884022047, 557227009, 193917434, 481696344, 669505102, 187957502, 74533246, 668247094, 169166721, 372462179, 50940488, 286735152, 459731413, 611772880, 368788054, 615545022, 859900048, 135848442, 978937468, 519230046, 270532011, 413252664, 474954309, 794047031, 993459706, 348735789, 978203251, 716179165, 362553195, 719153047, 691036575, 698579889, 178832738, 241695475, 552314679, 436133743, 246780809, 406058224, 508731644, 917321466, 569280302, 758529609, 199454167, 556234331, 694362381, 866075091, 379865168, 625016407, 715557594, 129290654, 611128004, 783085567, 426554812, 487340154, 850380197, 253532739, 956266111, 792760196, 606137546, 246424790, 638389017, 848248437, 8397469, 381740671, 728614230, 522688754, 880937028, 226148759, 593137689, 143368296, 77777770, 412056677, 993183684, 841839466, 11825131, 767282522, 123825091, 21385936, 130853826, 36722913, 488187862, 248739575, 241729409, 808621378, 246975624, 873342769, 932893490, 462345502, 746048129, 356562398, 619963851, 936759093, 111829358, 508029294, 818482096, 81367826, 928378690, 125670481, 240336674, 173976984, 745296673, 674005265, 648492491, 99092211, 972465182, 262823109, 791560895, 443284003, 681384203, 629435423, 754546657, 178072640, 119290796, 848166360, 651378992, 283931406, 403783173, 27507743, 260067152, 496618815, 995913203, 166073410, 179225065, 503298655, 756498528, 682901327, 531106497, 4349416, 71627, 198113784, 888248101, 758252159, 770277083, 906755704, 537938951, 820809038, 263676145, 184932210, 274840034, 65286031, 18115013, 62286842, 663137301, 738105553, 473176266, 360693455, 724663637, 882070169, 306597286, 401044896, 590269045, 636720374, 39882710, 104772641, 640752367, 154880716, 470113561, 277481007, 5426612, 259552287, 494570368, 310680251, 109282774, 539641229, 996466203, 518432046, 912919211, 172359426, 895487216, 317870657, 454789381, 493968236, 308090551, 864863101, 503411014, 414727903, 72211299, 299502677, 635970360, 725363961, 364733104, 190695709, 859905896, 318511715, 194680847, 661377515, 311974022, 104211013, 557970519, 138960626, 435243662, 235582851, 825232971, 341490126, 556907031, 358519387, 416160145, 307606193, 343868939, 548120998, 791719098, 884943199, 364238645, 13832787, 510493340, 152015874, 26184973, 651361671, 572844238, 925369899, 97719759, 481792726, 954350343, 962070184, 178587268, 639221883, 478377747, 879313196, 220147119, 818647862, 65855531, 27395569, 94059410, 657771435, 721348465, 426956289, 611820548, 334048530, 28844581, 819673670, 311728486, 601763717, 962067779, 458920797, 303993498, 659045004, 888093834, 870079863, 278698184, 809650429, 671738318, 927727926, 947026591, 879568572, 74943796, 653013322, 376410158, 983385571, 118895072, 432432614, 705446142, 520591570, 684212485, 244691742, 909748538, 391665544, 277161396, 519694827, 874304712, 284620170, 106508836, 839949459, 266579021, 489014321, 621127008, 475660424, 776677565, 386575564, 12471060, 52907084, 81922209, 474827042, 687394029, 984774765, 416911248, 85736670, 66276353, 40855538, 112756094, 439084133, 207718326, 231323355, 519329985, 176742867, 889461107, 453350857, 451768693, 365977305, 446659228, 209053182, 772966030, 344608783, 330476236, 548446049, 151251983, 531447902, 972616941, 979858963, 522680144, 229873574, 937044459, 229209471, 55833958, 39294961, 802972223, 34842370, 983639228, 62061138, 10920891, 128578483, 861056237, 435623049, 301952095, 345144589, 110286233, 867601119, 848126981, 531963348, 859915530, 708489800, 2441070, 229553688, 266838501, 772899334, 192225112, 418778542, 460405584, 662995858, 996213351, 78697609, 613601039, 42084236, 143602569, 217732188, 43160513, 204208269, 12636466, 415757425, 590669165, 361067484, 393888218, 301101895, 937162978, 16461768, 302336242, 745709970, 404853179, 818923795, 584264649, 649739293, 508745541, 938152798, 237585195, 28273127, 218855308, 844763688, 785982935, 18686035, 820386293, 295715742, 582690865, 580984072, 417304743, 299274074, 735146395, 777782413, 587503135, 198392061, 341389903, 712966755, 945329046, 520832312, 597771037, 26306322, 178264160, 598366709, 255835914, 213547238, 219767683, 933552009, 254820196, 409059083, 902557616, 439046740, 110181803, 956151002, 789941512, 996246792, 881151919, 799854181, 261701124, 415194373, 542764107, 967240518, 975764593, 693436116, 958514302, 875347546, 798275782, 884164883, 816435919, 296562533, 155739327, 402326631, 475028781, 914661061, 699502211, 979938348, 46868776, 643063066, 384900640, 756238626, 974862119, 596263850, 720561048, 11035104, 491445872, 30734351, 212009557, 561180503, 293908160, 29416856, 105758322, 254249772, 613763906, 69989888, 636269888, 565018547, 752917217, 146437249, 183394111, 301289214, 798808054, 753484822, 925972670, 806694211, 199202177, 721358645, 947528209, 299986634, 954227347, 302691509, 829745364, 741124913, 626848764, 590124058, 212388416, 938031742, 611602961, 346599556, 548521920, 551123534, 925159104, 504023207, 660152010, 461557675, 598616118, 655403474, 743966843, 416660637, 354901831, 162927565, 776203206, 946998337, 597405961, 295964973, 489155022, 562020940, 163545046, 754122435, 290367499, 53604900, 628731526, 143504592, 358851520, 15746286, 614508528, 386404296, 595239818, 977280737, 435510824, 469573614, 79829570, 177443076, 621907450, 723463949, 515948562, 476660676, 179811557, 750579534, 226358663, 466007645, 372812925, 192865819, 5807040, 95455526, 625624472, 243832458, 988717529, 655605310, 393256781, 673096728, 559971261, 970409101, 603950155, 5974697, 402696520, 473759155, 159808581, 306576946, 677133095, 763955014, 566314526, 130284264, 198394173, 285039505, 187483337, 786891082, 392860422, 57366596, 689699097, 144614152, 756499980, 774302436, 474553625, 839568136, 739738571, 74827121, 366207886, 265727401, 861696091, 543319501, 599984846, 74771381, 685591075, 492515611, 605146162, 873203266, 585117544, 622195462, 93565395, 675293716, 99019461, 94664567, 71245039, 880491949, 506790439, 848189657, 800732093, 537574860, 430527507, 611733415, 775380702, 484537194, 859045635, 446164870, 895083733, 316504, 243946510, 352467441, 269602604, 270126434, 657941733, 505293180, 559029330, 96774500, 960028541, 122800974, 450584684, 957828640, 954287447, 767856198, 762967599, 984514851, 396309809, 398991896, 860594398, 169016830, 912930566, 450212146, 41342043, 610141521, 710909485, 89426554, 174206921, 175225989, 463775426, 958645219, 693747847, 873791316, 900502087, 980548929, 370346229, 360965230, 767379015, 882241157, 562921239, 567350935, 926710531, 592260879, 20354337, 463153485, 235184886, 461878929, 86271418, 700782808, 584817519, 386973833, 541392885, 466114376, 111225663, 823701522, 251028787, 337480052, 962719053, 259807363, 487213258, 638359663, 62214485, 376839032, 91432388, 487382422, 806765258, 613903715, 451754967, 858070970, 924397083, 494544281, 559345079, 382639216, 826813935, 333028226, 209178829, 437433326, 760617107, 443580962, 356128129, 774249164, 356854234, 196350001, 254905565, 478320404, 30227139, 655781299, 554802027, 650637776, 350135639, 752627688, 655066974, 60510811, 441992651, 948946612, 873790570, 331316654, 680900577, 987994584, 460854972, 577606058, 947135165, 609591, 578921917, 246863656, 61318949, 188234796, 788938167, 213402915, 736452916, 114026145, 239602063, 793328841, 150637232, 379049599, 823928229, 282144310, 397815948, 447261548, 294125464, 309570413, 901649723, 83253591, 215227861, 951199698, 94218052, 320620574, 193327276, 719466608, 567096384, 483406887, 942435672, 77244863, 153198825, 450904010, 675854873, 841627525, 596715915, 966741776, 260746125, 378190364, 688016088, 304103903, 783017435, 994627214, 92713210, 495724484, 639699352, 321108002, 390544005, 385536555, 977966908, 780378191, 972238118, 4095571, 538552544, 49204349, 413014129, 581052293, 510632640, 922349005, 695830688, 823448412, 422753559, 880333501, 864818788, 721147922, 627976437, 408940982, 830754688, 754292329, 836862233, 752073723, 102666113, 930925087, 203218849, 758433486, 8701030, 686106338, 825121176, 7664782, 727514817, 998862164, 61372229, 386231474, 314450697, 772522139, 285427078, 239734918, 863711529, 743678890, 151100309, 483521005, 449497567, 106359832, 771877885, 49269974, 942197677, 839356444, 234933732, 755188184, 975044361, 467430581, 681038511, 681037302, 599564793, 603890192, 29855375, 90750930, 298186726, 92900204, 52587263, 871692306, 690955412, 674305383, 143395477, 424576464, 143249329, 814213576, 498318747, 76328771, 468836849, 794905920, 127086620, 282231379, 399109042, 368160600, 651461963, 68455784, 809263947, 353997121, 417239842, 82295251, 560499835, 365113717, 158367206, 791103997, 799848786, 869954935, 602222450, 776616157, 202330794, 752277459, 882714991, 643546835, 11639367, 990664578, 535467506, 57193402, 702033444, 642974707, 246383293, 961495061, 800631368, 92480703, 803458153, 239839021, 522969784, 314952741, 289030202, 290119208, 904243737, 555694826, 392744401, 106284532, 171045252, 133459289, 436192016, 714115847, 485971316, 884809578, 510404328, 758730396, 784383865, 696707844, 284166840, 395893456, 623675905, 434581762, 826639492, 650134360, 934163734, 29258652, 808433574, 218588638, 932393362, 480465354, 584101426, 807961121, 557668490, 902686723, 666130522, 62155534, 860152918, 52499331, 995087542, 671422796, 546244924, 843382516, 387427894, 364509399, 659989588, 317534014, 323898171, 613840248, 72829887, 436547116, 708098493, 672996953, 524074516, 988218951, 148865785, 244294192, 313144469, 73000171, 216305689, 57003781, 608714936, 624067570, 36140707, 434195915, 210618902, 937661998, 350591954, 948053658, 250312268, 545974075, 326607569, 466835596, 427090797, 340943208, 835957807, 593545395, 211138636, 514923598, 952388555, 735593807, 195907149, 629507492, 820987640, 1582058, 52471562, 733567938, 961417675, 38868615, 847211057, 365810754, 48375151, 696008220, 684169958, 567360023, 158792851, 755404677, 475509157, 174425376, 359466365, 311396831, 949596887, 631297849, 205518660, 497606656, 961209049, 168228295, 690482308, 773036610, 714138454, 719870998, 516154261, 697835006, 960394770, 558336361, 964146047, 955086055, 186765891, 412932610, 642110134, 952573300, 133975310, 1775075, 10768028, 782676097, 562855633, 541496398, 506295038, 767943613, 985078136, 438105488, 2804, 598117700, 530471683, 591537231, 895532438, 813402013, 506628931, 847101488, 321093330, 466902988, 891309375, 349999660, 411350052, 51704615, 876947213, 501674726, 122509609, 104266868, 723367728, 529409305, 901192356, 992655915, 170789234, 247304345, 55139395, 162733694, 665014441, 34380165, 719129559, 629199314, 946920712, 855759682, 516493444, 230507954, 9009287, 532725406, 348844323, 397634277, 843157752, 183974678, 860372662, 153691164, 862376838, 355827073, 653905104, 186569608, 97602389, 108984864, 889080249, 834427072, 309036947, 598100311, 592828160, 39247249, 293924931, 149781410, 420445549, 310517702, 797035238, 639849007, 915035996, 671820335, 640159454, 40965612, 661841800, 609887380, 38233293, 402995892, 678123340, 618031959, 718523862, 375072132, 236750786, 648103054, 346585879, 547627910, 169508167, 693365699, 317985533, 518208195, 727314128, 185998084, 631034371, 804322823, 922460495, 535537621, 446288913, 77880923, 366168970, 606027147, 884253458, 99370767, 255587618, 818618415, 126110268, 72596769, 383440002, 949743369, 487531504, 82781950, 970575212, 537053226, 497239178, 422183052, 824211392, 188398300, 958635255, 989264493, 33154684, 204140200, 257141813, 206917714, 543099652, 675058301, 32551936, 64136525, 793995633, 324893473, 246627787, 101433571, 728715593, 121558696, 76840164, 981056315, 747471258, 266165239, 772625047, 12762936, 838550535, 176252514, 500527728, 11418605, 308125351, 741227982, 285757853, 482902335, 330710541, 657367896, 120884354, 295067812, 360982527, 742005052, 727582900, 444914741, 894096659, 245620487, 970613030, 208133301, 132112272, 696385307, 538889824, 270307626, 707518653, 964486771, 982975035, 605636698, 888326219, 183744049, 933413809, 145278820, 1832642, 705753625, 933581143, 478576264, 774443999, 514540695, 953116014, 304035977, 748995052, 412794168, 182068198, 294920457, 812621809, 256750205, 164168674, 234467380, 163578309, 297633839, 705268496, 735471743, 869047982, 395791929, 53568474, 972019821, 632084202, 86876175, 287973391, 698246309, 48884265, 201392833, 91272799, 137582095, 353653373, 144664142, 248954776, 152451402, 286780857, 83892611, 655333943, 178380858, 379492650, 864812345, 156091190, 638029186, 893002497, 409065800, 535447962, 232378785, 464396408, 972995477, 925534142, 436833402, 261063874, 931180609, 693107185, 694927906, 217891515, 795709713, 952040278, 198779851, 560392441, 32434852, 278964395, 515285298, 843307113, 681915761, 399359186, 358527257, 870552927, 244317638, 939208086, 681480213, 58891111, 658021191, 280425191, 905363879, 359931996, 240205942, 415904505, 523271123, 94109247, 499057590, 424792993, 81868495, 275908744, 550143816, 330317449, 549680921, 314789961, 804512875, 547586493, 669386972, 300948906, 292406856, 241275312, 34720202, 579255691, 74568182, 125160383, 321657731, 235487421, 944335540, 254377982, 317643334, 861533235, 548408404, 890411756, 493459895, 174624188, 555620205, 465232771, 186995834, 375163330, 819435900, 361583488, 28989695, 34076824, 126034998, 983917709, 199571029, 562726464, 381407588, 164091963, 855167276, 104019578, 789682254, 25262751, 167818698, 693913780, 403197612, 230053062, 156917626, 866639943, 975702876, 430253239, 682789934, 528425139, 116445910, 160966775, 728223187, 472743014, 245425938, 92889533, 698938693, 80649629, 746314086, 49694076, 165147163, 275466494, 379522454, 887553720, 269180179, 317184320, 616078934, 973736013, 244355743, 344418653, 443089805, 975754013, 272679627, 503968084, 971888262, 550226257, 35935079, 167420269, 37570865, 360980268, 322891981, 516002356, 821108729, 986774210, 182902791, 904199778, 180022194, 131246044, 200870264, 531483171, 812199729, 772559622, 771143732, 276653620, 315174114, 693701322, 140747947, 438931854, 450019356, 860844249, 345816688, 519625853, 436161043, 954143744, 524921785, 724057043, 568525832, 46334975, 492955999, 329856753, 587145043, 955062619, 377219235, 149818119, 289824719, 132399363, 198916424, 462652011, 509884693, 969439294, 856486815, 118479816, 753271941, 456530411, 449830128, 801224331, 456375980, 406335558, 159419557, 561013657, 167115554, 398990117, 244222, 86923001, 744763514, 145522114, 289889212, 106610662, 380351210, 631777516, 91226396, 129333901, 655178046, 252844605, 541101109])) + +test7 :: Test +test7 = TestCase (assertEqual "for (continuousSubarrays [748485140, 818457444, 506065671, 457502910, 80372915, 643314518, 575934438, 977493309, 303861502, 451292516, 562893213, 16654857, 164224969, 879121749, 598354394, 701732173, 855419816, 850202985, 284556313, 786617533, 174731254, 284227629, 730932068, 546999279, 263147370, 592212889, 844828648, 140569546, 654375423, 290560037, 443563630, 556480490, 248418885, 427128412, 128528319, 262290964, 560252607, 205632148, 687252519, 201341706, 542114760, 751315222, 28054952, 146060555, 286324553, 723395795, 699205139, 180609404, 92395765, 573013363, 142337050, 933004554, 663088753, 924545618, 755655796, 256864418, 960884095, 289990794, 397781173, 489499719, 497985443, 730080985, 684649399, 330016731, 161441770, 354948023, 781487770, 720656125, 197428971, 917922707, 789355336, 389182177, 762560462, 247402397, 651424144, 770212175, 842449487, 727531591, 237869863, 128497350, 666827756, 839086166, 397376566, 651932279, 804371459, 270030139, 833803204, 25908662, 642012770, 851688874, 165974817, 784039105, 890083015, 256982738, 886128275, 795837824, 187760541, 129855962, 91277951, 853077955, 590688246, 848102515, 152750841, 184457533, 648973262, 841734895, 964190308, 70362282, 79703103, 493825689, 349646103, 211451060, 268377359, 837673454, 342044293, 265176922, 834512107, 518893195, 804270417, 333365103, 193576017, 759059662, 19268886, 74023257, 196874840, 174457978, 514350726, 817238427, 20126176, 265050606, 661973434, 548579457, 834944212, 606004756, 353779028, 88387346, 925072092, 765879579, 537170780, 327187423, 230021199, 441746236, 723031939, 187730389, 39545903, 871045935, 957851449, 839848047, 757035608, 574359194, 876186364, 268495605, 191211461, 32495289, 855754793, 528305120, 794377215, 637750799, 369230176, 56038536, 314861731, 165635742, 337338682, 884353685, 153900907, 359675668, 309822853, 847625751, 154542801, 614677625, 604354591, 873534143, 485555082, 632628782, 520496101, 337219759, 959490696, 221350910, 571855248, 209423887, 944995065, 140319420, 729049916, 76623696, 295987652, 554821245, 489737977, 366881335, 700360668, 730101700, 711530731, 131392855, 157351040, 873990335, 682339223, 645336330, 237732964, 510195169, 565306639, 933645929, 789180248, 967125671, 191162213, 484789721, 124612606, 813932065, 95871726, 808880817, 766277347, 37518466, 130461075, 129676869, 984370812, 850862559, 788718100, 734665378, 427922548, 199620735, 789264713, 852751376, 300958415, 498227492, 308360560, 281244809, 458753439, 143138232, 621076864, 619828741, 926524721, 481741485, 139704752, 601799065, 290015865, 300032004, 273244397, 966656352, 794886180, 429986394, 950572328, 213800006, 57897882, 680570699, 141523367, 535867642, 972056488, 31738710, 58465003, 903077976, 414092516, 816593501, 546738417, 886829547, 245219729, 655614316, 521360774, 18844803, 761536269, 373783572, 216014949, 124610564, 339267818, 878683618, 843926900, 765554304, 959196167, 425257971, 102124907, 118061052, 208312151, 442183411, 693410321, 789954619, 286181441, 513284181, 952560656, 606559166, 149155130, 808094720, 787096110, 17020039, 531598700, 451274187, 223888101, 841504491, 819611390, 988076016, 268266187, 935083015, 351017155, 266521776, 322550169, 995246669, 369790663, 852602567, 585142557, 589249516, 443183573, 564213629, 99476363, 804329589, 431350062, 311519511, 987506029, 746744174, 965140064, 448156137, 203477361, 842743007, 770043015, 325008565, 758454426, 217299200, 782899590, 61032634, 480484445, 838480881, 799208231, 630331102, 155766141, 295672090, 983294487, 8943328, 342071707, 111989203, 608376793, 147032987, 762741989, 668406659, 428744627, 866024213, 969858466, 724437042, 177505980, 286615873, 368577390, 283714618, 551748673, 293410211, 305864488, 101095935, 792433685, 696841184, 405599547, 984100687, 222822032, 616749292, 226515016, 797023376, 761307335, 443700130, 937163513, 402143219, 104905182, 566823965, 132335584, 911094355, 198224795, 17659941, 958383853, 91657534, 662797460, 747858577, 114704298, 206750671, 157395969, 133428743, 730270035, 448699666, 349642221, 226147470, 248282400, 560485188, 153113708, 806626346, 499590439, 439418289, 236546438, 392209482, 147371422, 217819547, 779781158, 432902043, 533877275, 907617117, 447335227, 991411950, 266260239, 231239254, 545489560, 225857942, 629498751, 37749914, 981869524, 615897331, 81260211, 276723944, 640356819, 300363283, 480490524, 298711824, 52573678, 688374440, 481549509, 106170017, 733532305, 101812206, 760019185, 375331128, 820923186, 743939829, 651113393, 15236452, 45849677, 437180219, 960988373, 435301213, 144759072, 113625062, 55604366, 267956332, 49508301, 736939200, 519820366, 296927810, 418541696, 934626969, 353402892, 906028813, 360976852, 575137012, 746850155, 360167674, 379261638, 139320675, 76565334, 3958497, 16677925, 911126688, 996645048, 617146209, 13611945, 323387463, 339114251, 236019074, 406031823, 186339762, 987109806, 703927908, 637081125, 817273321, 600844307, 334961346, 403171917, 131056190, 344139884, 477830262, 973028331, 707764706, 396800997, 135436098, 39886909, 894613079, 468853585, 800713085, 725047370, 95526485, 529322301, 520105482, 527054180, 298791947, 515483373, 35974647, 836684990, 924761399, 128197804, 948015992, 126059517, 1204693, 795519267, 984868861, 398755515, 92254080, 873398082, 533756541, 432264926, 747642049, 365600030, 47549680, 756911109, 115499757, 600591458, 361043758, 479239578, 924900542, 382403558, 134820506, 885214733, 214375743, 729698841, 696156237, 262989446, 780660574, 566669387, 317090746, 245284682, 434338790, 166008824, 131609705, 971996773, 290952561, 506708065, 563585090, 525030275, 156568851, 960798951, 770310051, 325083595, 53621322, 724524764, 815068099, 202061012, 114639222, 825213335, 325895361, 363861402, 529220602, 5871426, 491116460, 222305677, 550496304, 485641377, 477758422, 81593837, 344691973, 352430242, 729932390, 653710630, 328675557, 262513481, 876009158, 531011911, 39981886, 222782594, 233028668, 536368887, 963754227, 373743898, 743528700, 816690336, 299551861, 785650862, 854972615, 290937784, 6935446, 400544202, 697015437, 986928456, 121169140, 890059455, 279327971, 158345031, 916595063, 508156449, 886377770, 583743834, 324637544, 73344229, 744345267, 79409073, 183549600, 668195795, 46731435, 282318666, 907972584, 128741603, 559245966, 814019823, 253202135, 157109433, 893074590, 899185076, 295894858, 699630740, 180160054, 155987237, 74612369, 493167821, 802023606, 750708744, 639346175, 166183841, 775993581, 131164218, 869650150, 54062311, 59319656, 688898310, 17731652, 812709503, 909032031, 581268400, 813108790, 77435105, 695878098, 957148297, 584422565, 973645802, 975974139, 850720564, 820097046, 513759074, 147217339, 59668526, 618472170, 402324114, 458398076, 769230171, 884540460, 146420103, 113470389, 508772974, 175144632, 318451539, 723084496, 273592098, 354912599, 294811814, 513207569, 919538668, 785561695, 265446139, 922822398, 758370844, 605517393, 876419736, 724331638, 204363819, 785615117, 189664515, 653842070, 551928009, 574810047, 294709894, 534569739, 785732600, 296195080, 690648420, 951329410, 519301102, 574044808, 672140478, 164227393, 608787170, 379002322, 982894579, 262637329, 678744123, 506104266, 92596723, 923572788, 565205389, 18544142, 697578576, 419246213, 194189146, 455881540, 744578594, 618487355, 509745610, 679847120, 714963785, 508121049, 468160690, 20034558, 962748748, 273950013, 896186132, 277044656, 214706135, 61101217, 177497959, 612025683, 972015962, 323883593, 281554906, 185556441, 9437573, 449694178, 609116723, 165208634, 485241528, 243884028, 710662400, 484589402, 110413377, 504778061, 839316221, 25108129, 677008538, 780669038, 289112691, 478070485, 989378825, 242605313, 849929893, 590080723, 228429644, 269250038, 505039195, 176006772, 693936837, 11621482, 600484241, 742349506, 241501964, 825662057, 54027229, 170989431, 554251656, 357045885, 788847240, 915523261, 678283956, 870083479, 319686275, 529398311, 797273390, 530036547, 231840157, 244957971, 724525878, 974304895, 336531669, 647283782, 280526396, 279306465, 408240023, 301447422, 308385615, 376188075, 497022756, 2476683, 663043006, 798607523, 885431623, 366221448, 514043499, 782115954, 486305031, 452952388, 594734152, 89072615, 56724351, 793783249, 149364752, 474011963, 154864220, 152729874, 518445700, 595185814, 180723164, 133607298, 595049994, 322079639, 569788882, 317190776, 521722284, 473686804, 347151485, 545674690, 556021319, 775584598, 466197954, 564024569, 496352869, 392994387, 146818321, 790232392, 882714968, 524149546, 142057685, 479013444, 625382323, 44027004, 483957105, 890696120, 838363015, 249919050, 238967804, 635511617, 648625626, 500722480, 873390348, 744548888, 423532071, 894139061, 553605705, 59488144, 488667129, 880712296, 742384651, 67742024, 715093808, 873088969, 443731234, 181555488, 109151584, 102957371, 848824546, 711259588, 320432594, 321060858, 882851471, 615235205, 196782725, 707888042, 955456874, 558134221, 31047364, 213203402, 99491659, 22300404, 306628809, 756516451, 945905633, 30787674, 871298532, 392034147, 121009584, 208559778, 485626124, 152759455, 438609683, 570314263, 252248306, 667983479, 324068526, 507953416, 459522995, 248011008, 808109072, 467946276, 24759494, 122618311, 961238575, 6970299, 866304396, 130783401, 836752729, 591418916, 863713465, 456618583, 262653, 400283984, 518807113, 406688506, 527710785, 880641150, 788966442, 489884576, 557655723, 89044643, 893092400, 976137909, 138970760, 422784003, 288939331, 302788989, 222911820, 334030734, 376238572, 131012521, 388864015, 409140160, 687641522, 68157161, 850627294, 78345, 295282276, 431695930, 376911732, 263743826, 958635536, 316555613, 179222826, 693012216, 544315240, 329360515, 302181972, 192006037, 978434133, 437282340, 58706327, 12667183, 676543489, 594029511, 794415885, 941759408, 541026225, 945068012, 141590355, 195039273, 719862257, 948680422, 724029677, 40719482, 834814309, 526348938, 920832238, 801734449, 136088836, 152292571, 311799060, 286158897, 832133166, 467114919, 749104718, 12218709, 538141538, 577758040, 117897077, 277395076, 469137083, 287398468, 485521712, 846119383, 723723819, 378055727, 6574944, 50626160, 669686362, 625563880, 302437703, 807466162, 1797813, 211078507, 25658168, 248981061, 745633359, 33095442, 610474509, 426866823, 568052535, 243075577, 321221767, 763122989, 943285449, 339699252, 321092959, 3148582, 615551049, 159411817, 815798051, 485192419, 159925357, 590868091, 670798960, 91856800, 295562268, 934130273, 426376652, 107359677, 167226099, 765147931, 621130061, 633124528, 97666752, 823770258, 812852883, 573424940, 752701805, 970288168, 603072798, 828112431, 634855343, 651489699, 344326216, 290579838, 244991220, 320918147, 746911462, 120161938, 293812777, 43397250, 961075027, 550134742, 447134612, 211048103, 307372615, 108292934, 288699938, 562692578, 875758787, 973536709, 688154227, 287497318, 990586497, 589933507, 690572114, 668432653, 329260404, 822006493, 662101669, 531013448, 442109063, 675258646, 330147502, 181659752, 253335540, 431849848, 392141110, 633212150, 220498682, 911387881, 289624303, 842615521, 247554864, 707863038, 642863191, 160227693, 724174624, 397668291, 285827723, 17479921, 636886110, 256328214, 904495917, 527144643, 776195621, 150111687, 975220878, 30553798, 719032322, 795733152, 497054940, 112269952, 404011861, 624415674, 287644939, 661048140, 695875251, 315367952, 394112390, 257567971, 449342215, 499789730, 937414369, 21846598, 994122613, 440793919, 586079413, 180397629, 243521067, 850914261, 558451216, 452286953, 76625603, 622862908, 783053901, 393860178, 294294339, 818921228, 569663180, 237955193, 265783037, 43782175, 239924839, 678208704, 604182178, 824054526, 177538594, 897599347, 800247491, 743575745, 739208502, 981655045, 712286007, 17961836, 83814550, 379802853, 425817532, 667628659, 409773093, 673930867, 360431114, 318356109, 202065529, 928514529, 202383698, 274644200, 786667259, 91780979, 221736354, 461097882, 65592912, 530274680, 8589, 219460841, 393467602, 663152524, 53027156, 527931992, 168536945, 846558454, 29443212, 598711907, 592378252, 606917117, 579563590, 875863837, 739403787, 9189937, 473885926, 727512343, 734684195, 316201751, 132691566, 136515646, 715407233, 827268982, 907009986, 384433581, 573038794, 794893534, 600445267, 140735225, 619266996, 66939388, 689068511, 721963080, 99302522, 92339517, 980688736, 91213504, 918317674, 128334533, 320290206, 936668224, 967135982, 408171147, 186972979, 566436512, 590171036, 310006223, 871880060, 941538926, 514796130, 270265109, 310712432, 458555262, 780633984, 944707642, 187749389, 115257016, 962262610, 541516715, 632924307, 656274538, 304816816, 629081045, 234850083, 236340837, 647028802, 333968395, 627570472, 312597841, 202377250, 798653042, 754101296, 477797216, 910362065, 860119445, 913720805, 206861443, 132664552, 439872567, 54907521, 288152482, 92152121, 683095196, 609197435, 788252635, 982569832, 154394254, 301838301, 359717596, 874307197, 845486183, 552449526, 375291865, 930221696, 592817589, 156123788, 118929292, 467290722, 195892856, 272296004, 212939240, 904730458, 519306913, 246179513, 770198319, 430550467, 97570725, 317880683, 410973270, 860129732, 521013249, 863420915, 855699511, 817603876, 256457641, 951190112, 948280967, 972938274, 584773059, 373323094, 515756985, 31219854, 271033056, 817757775, 888742662, 357456340, 749520719, 146061248, 672284022, 12571614, 51088545, 466792238, 732763676, 367351143, 429685217, 829089764, 621696397, 692520505, 643410547, 507067336, 304847218, 143620469, 555420956, 851181710, 166984203, 751198951, 482549692, 925466245, 29286695, 863072426, 603601709, 587239364, 959176087, 891540262, 787438966, 498976128, 358346970, 261845220, 68489456, 601716845, 999410640, 817401677, 802563518, 76733511, 975440361, 2276998, 792373158, 358566582, 655734495, 515874241, 432156573, 902862653, 215090726, 516372150, 373284049, 195760946, 893141896, 667191635, 96858981, 711232159, 463416635, 465158012, 218030684, 720969562, 265109590, 645354775, 837460424, 641457638, 336971879, 397092851, 433712232, 798932454, 691850253, 825550483, 196858365, 205569510, 35396813, 171053310, 308242663, 955990656, 600948148, 537660889, 441530135, 221081516, 996134157, 473361744, 586992443, 144049495, 974254372, 133472446, 727568552, 291224373, 752508672, 928988475, 131544784, 58887900, 540720627, 836842650, 723725797, 74492062, 195770285, 746865991, 236845498, 461308137, 612018663, 186672335, 669574120, 177838546, 320617405, 243062637, 61523876, 860847866, 291394259, 440875414, 124596941, 439510313, 950156356, 796400724, 946724825, 614833352, 46470976, 471829714, 95314021, 917698400, 110012279, 651110540, 680137580, 890185882, 150938897, 915603342, 229150227, 740124651, 50158650, 585657756, 979950978, 755241152, 235744246, 504822783, 925314767, 51112405, 941171378, 830341452, 230145568, 888480142, 456078129, 654415446, 571180422, 952203526, 125846481, 356241593, 373795685, 913628423, 713218055, 171583376, 441087964, 994435808, 209242523, 622762990, 270100603, 108178505, 430304908, 96857099, 164808955, 89117285, 992190799, 424141064, 18894847, 676609576, 981080645, 951451750, 315879162, 543169380, 710735252, 460975386, 536428905, 209313474, 804813040, 389232815, 608617014, 618152153, 249512599, 822445162, 366742904, 47168485, 295580307, 137976362, 801112837, 676657595, 256951595, 765860629, 239396244, 636747580, 450872701, 791657845, 610054487, 550583303, 339415725, 883363572, 881833184, 397036789, 251347555, 397792695, 346925269, 961098425, 185806472, 843783052, 121611461, 807568618, 184337678, 714716254, 207678348, 30833445, 708314810, 736077699, 363662209, 267986416, 459584245, 698842305, 334982813, 264654222, 645359267, 911514932, 371513377, 389352093, 54137949, 980028816, 723077961, 870261826, 67785917, 307989780, 13133900, 450547943, 232187540, 407715969, 204436595, 769169965, 906760181, 240121045, 307010420, 297065848, 779580011, 830133228, 825131819, 300273684, 951607101, 231128018, 814048585, 862390852, 858632208, 915808740, 111089961, 245314282, 335093588, 873500593, 345285648, 577400433, 323310179, 550224431, 990074151, 603649836, 883226821, 333828514, 982843284, 164094856, 665481454, 77220631, 182217347, 801093664, 557364360, 377291798, 589924418, 325268712, 974126658, 310235865, 225297504, 744291843, 29155592, 472699270, 9682851, 213026345, 127745316, 917800106, 726224307, 80428037, 40022138, 766001052, 237006454, 479680711, 880448853, 450352179, 128875732, 618823197, 839542521, 625905079, 961559891, 357037921, 588136650, 937522512, 300291536, 396606177, 474939644, 109640613, 797166558, 994886174, 777678880, 332761198, 956731980, 475449816, 393650828, 692935415, 839760001, 113668831, 820989662, 237646024, 14718815, 404895739, 139608203, 648703639, 918634021, 781265120, 358291861, 313890587, 344753318, 13693303, 145039552, 744628808, 694497075, 378434451, 19792793, 612086964, 612940437, 212537851, 681148301, 968104162, 231048289, 126608855, 944956033, 118621456, 423025622, 718205921, 284513733, 124196680, 10109288, 999649708, 68164117, 460625207, 829018903, 717784045, 424464059, 962459417, 309147279, 429491153, 953693041, 231429868, 344729507, 584491885, 996959535, 205351935, 18794978, 206433266, 677628803, 609319953, 655742298, 295455023, 596457070, 692084840, 104965940, 879693478, 245139886, 941675494, 417655662, 698616179, 640504889, 743884648, 422923162, 395729315, 818547061, 277568028, 861397507, 701133279, 836154849, 963719188, 958131783, 762993102, 325472013, 261116661, 988511278, 7179887, 650120359, 957015863, 70619713, 574309329, 873794746, 262016615, 473376861, 203408812, 302340125, 300816930, 753088528, 963500456, 459335464, 284243852, 480149675, 865476479, 543054492, 295422644, 476815097, 905571550, 608105429, 280559553, 882890216, 834309966, 681040244, 560141996, 43183443, 886510901, 242487238, 514104179, 370925641, 337683599, 505778526, 936224432, 127014958, 935435038, 168361596, 193263960, 877357471, 390664425, 197622326, 477662658, 316679566, 196295589, 879225597, 450567200, 506539125, 707131531, 466037425, 36918159, 644449219, 184862782, 403408782, 203276909, 740966903, 571864285, 70986410, 661904320, 945174100, 605567132, 394987596, 218391221, 357330028, 225873759, 528442058, 230126162, 770871265, 162609537, 883240731, 785015721, 962328239, 913524503, 891073500, 782603052, 977100889, 162743708, 490861146, 124722122, 3896961, 11302583, 767559066, 438694342, 323486819, 896823402, 127794951, 362701637, 135196241, 819204129, 12283025, 86559435, 29662009, 91282915, 999316178, 259657912, 34858522, 703587346, 653533102, 197692406, 257666001, 982767729, 69814910, 473364082, 367328628, 808215862, 742999351, 970891462, 254200350, 307178583, 843357803, 427860946, 921836239, 787411499, 123646888, 152503773, 495894665, 360119407, 914223676, 224764875, 908867026, 369330287, 396452818, 126886971, 740822328, 869446842, 583741341, 761876898, 741494514, 55016979, 585546510, 591045638, 195337337, 556311181, 814316750, 27783452, 218187979, 59964278, 863047704, 143900307, 367382823, 67110084, 648193980, 809901190, 299702296, 346298077, 701633876, 850436678, 546057463, 26794087, 548852587, 262867638, 840549667, 284574716, 458250692, 44664849, 844852876, 688948421, 78346919, 564400687, 751880848, 423103146, 967830621, 632876843, 565986688, 296367665, 382692892, 542303431, 694744353, 476468009, 500798075, 802526325, 825795433, 504841257, 760126100, 979392126, 879683379, 490805336, 100448667, 217807375, 339023451, 276053099, 234510396, 263301863, 536898482, 304586545, 772742301, 384826143, 209746290, 259216428, 594674934, 571367800, 210515729, 264160396, 153721824, 95412832, 778776181, 263679946, 959573349, 869191643, 441994231, 704286019, 663556532, 319363164, 612795973, 430257262, 909706607, 111926776, 375760917, 387304565, 335773545, 831500736, 35014834, 485494995, 963327447, 750778462, 856301811, 595960184, 561078086, 757147130, 487286310, 4640847, 916794602, 996463629, 144298586, 187437932, 631043184, 445823195, 767166259, 236034948, 837053060, 157657477, 654123499, 748318470, 891263020, 316541253, 964263500, 851821599, 434177168, 962275260, 68195477, 795769386, 484737203, 527057106, 802326351, 140226534, 86619100, 909117955, 184708746, 901108691, 988527573, 30801946, 678499884, 131610512, 666590653, 965699409, 60343534, 289331153, 521673741, 29660230, 637561402, 170703387, 978619909, 200367382, 337434285, 97358163, 62550481, 830574717, 708878867, 450087846, 753242449, 35871901, 644447052, 434884281, 780779475, 739208537, 602369758, 219643987, 926302798, 154087764, 193252757, 114470464, 545461823, 32788279, 290608129, 930546363, 953429340, 463125615, 103913033, 150358728, 976263423, 895878172, 474984807, 909167523, 852366518, 248870616, 214014785, 728079494, 537112349, 699541647, 296187355, 485415759, 500286242, 111944956, 171072966, 554227006, 261947382, 516121960, 455539221, 130770917, 637455848, 441957245, 627066084, 105493028, 198358664, 353437280, 60377016, 454261355, 577030023, 539632514, 477526946, 973886645, 435211684, 327724799, 597914696, 2839768, 621274802, 12319405, 762035363, 764748119, 379259907, 202745841, 6478619, 688843486, 862313085, 6324729, 285755942, 682407538, 670817617, 875261293, 739743535, 59518439, 541848422, 177775535, 153468441, 716506693, 733687833, 345930288, 938050532, 83136435, 70872586, 906537941, 21555049, 515048173, 839242802, 396906130, 310844657, 578603052, 821791122, 872165888, 837396195, 267304170, 64252641, 92024826, 182063818, 638303727, 88513975, 30603118, 829512185, 236040182, 670559513, 556011540, 814032526, 697410735, 69716649, 977743132, 811443499, 830138007, 572299923, 261253051, 225993063, 427923983, 746630623, 121078088, 635180664, 142548090, 799979233, 861949709, 734661067, 217336233, 30476061, 408959552, 346240279, 552774360, 806711370, 599717665, 662719669, 419845059, 153401332, 617877386, 660614953, 417711170, 52089229, 68964516, 917775244, 305402871, 22077740, 912043225, 285478562, 264097633, 533731202, 388966654, 356120859, 391669852, 922609595, 839616185, 608268608, 694720341, 803080401, 765661076, 936703485, 882564282, 142026427, 502112227, 356191972, 372356019, 810261805, 873717309, 211403108, 529743845, 816203589, 245680434, 885981464, 225116394, 101446118, 732342305, 755156935, 645706422, 32901056, 707620143, 390899886, 371230218, 730030440, 202489953, 143790117, 502078862, 625946620, 361640377, 46606866, 489332711, 389593984, 718820968, 144983849, 392882268, 43407580, 293382243, 360436177, 289975915, 696633121, 267213181, 58783815, 616820779, 570924631, 381895775, 406727995, 738869277, 226677353, 926450165, 443701265, 241699512, 815355105, 165731339, 398388471, 305704214, 958583772, 999310443, 482541030, 225861310, 394364634, 155947867, 525867350, 337614651, 862717659, 886483590, 604701743, 328793927, 380581264, 754679321, 961635353, 715473285, 288378121, 317869910, 757254394, 654152543, 198855116, 897378163, 243078873, 638921911, 762826746, 302261514, 951550396, 472055446, 170484666, 265630047, 691426587, 339452964, 663555665, 451518992, 984237181, 898254722, 856910644, 598411706, 748721493, 587042997, 517300560, 585082834, 252604371, 858796853, 394773734, 802638187, 741853816, 813654068, 192632646, 352555281, 570731809, 118817410, 937374179, 272959731, 128954769, 580325202, 489394273, 60864222, 710845313, 588077355, 581122667, 720487650, 904387127, 55824796, 213073178, 491030842, 226307843, 981618726, 999183561, 252285236, 669480205, 397652265, 572910774, 106399719, 529029196, 487038794, 358199063, 184252193, 39810213, 921497584, 479936708, 350615481, 913251663, 410360918, 236527262, 3273410, 491282665, 197093618, 836546833, 302059528, 838742905, 364568697, 870392842, 617864889, 837035589, 823070392, 552719864, 256552804, 436932076, 271321255, 223383624, 541002390, 211062393, 152323162, 648108415, 708332503, 655431100, 905851294, 899201527, 287905870, 706895298, 8010099, 210999447, 340591980, 788681467, 555735451, 682888758, 566068058, 753141323, 654378632, 118307181, 157531640, 187810340, 906919065, 344150301, 265294027, 615332938, 576197907, 528060274, 986777427, 684680667, 497086902, 786943757, 926426311, 818801297, 600414424, 46783191, 826197257, 36485369, 317621789, 544071040, 240034613, 121129800, 716588695, 472131014, 884536476, 165372877, 119828403, 118015176, 946758315, 992760610, 277991022, 534944059, 74280538, 678940507, 584964240, 855069419, 476523737, 174217435, 234806386, 433561952, 576387509, 960053037, 200046595, 315555736, 150028048, 816910592, 867762899, 768500478, 486329187, 946146638, 60169656, 151193975, 146435633, 592686894, 487609037, 154316845, 619204765, 583334615, 587674471, 137468870, 649742795, 260152717, 335098173, 43323971, 703307711, 4262961, 808817355, 980628188, 950645282, 67584687, 989908066, 669540264, 202607953, 849569311, 822091528, 754541026, 154445211, 371049246, 424909193, 8511421, 875016145, 846454022, 102848760, 705643615, 394891893, 374475832, 198720485, 768049468, 484338783, 416937591, 647462094, 558141410, 662742458, 927825694, 239627899, 386289290, 623074731, 840163120, 682959071, 538426258, 892233569, 939556303, 100691498, 785698047, 108157984, 630529622, 402898321, 508198859, 815808664, 380838889, 411168765, 130824049, 891583800, 762301127, 398971318, 222643438, 395187579, 123050023, 944474421, 695524406, 453959289, 763358690, 285551739, 728794601, 762006757, 797442229, 415750047, 336445417, 981860869, 763569132, 811966949, 299178363, 707384889, 511848885, 358798731, 770457958, 207892432, 698597689, 562570228, 629384962, 902770311, 494627955, 780031068, 333744202, 311503230, 784176620, 720845318, 403199100, 667755680, 88599589, 516132434, 101302989, 272124185, 529423178, 351144657, 236463660, 659551070, 322132096, 105240346, 936635430, 577705060, 591699763, 976150035, 734000082, 602451982, 868010952, 573615048, 761351654, 304042848, 539898935, 349540345, 271056900, 238737353, 394503006, 226594667, 358242776, 181421141, 445334993, 773131211, 301920154, 626772149, 923641463, 591082243, 779651228, 392358732, 244291968, 22066113, 317635297, 906211588, 457806316, 790412805, 456791221, 150377730, 35980422, 603121273, 917535343, 529567571, 431279691, 654945736, 774160043, 488889970, 857735083, 457932881, 270940642, 399238250, 258316495, 588732825, 390483122, 247077668, 125942765, 757789104, 511539742, 603032884, 420311492, 820762092, 581434594, 482607891, 534179499, 914476831, 754704353, 650184237, 327426516, 150746960, 225901977, 789550388, 873953303, 649404569, 483404972, 227496115, 772614930, 713557967, 22345002, 699974385, 877741546, 118634217, 347942257, 571671112, 809436319, 231662033, 971549852, 557401431, 32426230, 595046748, 286586657, 171485793, 204460740, 789079647, 676190045, 107094235, 649254718, 600148150, 374024915, 199420522, 98725757, 983652010, 540447672, 781838014, 194696644, 466897999, 556047888, 713791342, 291243555, 78409475, 653274845, 960613549, 374929162, 111209672, 540669270, 272415610, 295505150, 825868366, 441534497, 220988650, 548210359, 139709727, 225590494, 662018976, 18077117, 458050591, 540020878, 168847228, 795028187, 959070721, 29924543, 552233003, 702972941, 413344001, 546127372, 491361621, 673014068, 290416045, 645951585, 559888950, 408805156, 357148430, 186182321, 286600964, 303029461, 648126502, 15770432, 824353861, 504105342, 171313482, 393092450, 202141747, 62733809, 913255273, 768068841, 7223375, 69047771, 147730430, 145667731, 868773367, 263130725, 476230858, 192714203, 134670198, 705750319, 225606794, 763728292, 74200498, 661154162, 695061738, 815396115, 707415765, 541442274, 61720027, 85515471, 794854366, 234274997, 608390732, 279068739, 924462359, 807030823, 732558088, 709236999, 909600081, 789672143, 924005184, 106947426, 680107032, 352306653, 104814480, 356696088, 906707209, 947080414, 816133898, 615913584, 562918295, 407362190, 940331825, 824177808, 878252740, 309217436, 427517190, 506147383, 562093565, 390848307, 561431244, 793474723, 535203655, 523386307, 751957643, 674954383, 646454174, 815068363, 140399880, 209048542, 64741185, 902259347, 513006960, 895967480, 838340772, 72950412, 233307687, 19082098, 119972751, 111666656, 722117522, 214539098, 876989464, 982201945, 796722292, 75328712, 598165741, 167603416, 662666295, 142859666, 793048514, 691393683, 739010980, 105813984, 636238392, 132659186, 261418489, 787437244, 991485718, 37787212, 953941275, 765545037, 131563952, 583154641, 295203646, 886769611, 365924432, 760083224, 925724428, 618472533, 872622259, 344959941, 470268009, 772794657, 63695359, 958064019, 235358244, 24395152, 648596117, 786365491, 853217412, 577508448, 476505883, 213282295, 206709562, 387046887, 540456019, 280751971, 136187670, 917411286, 146898889, 100238509, 23566725, 182582276, 141975492, 363149584, 484802117, 355605404, 536657891, 422394911, 685619243, 782217027, 415979514, 399911791, 125966291, 968478048, 670832832, 53881125, 649226000, 695549367, 463444057, 859202110, 571112817, 337829989, 907721085, 158466530, 582287366, 417306949, 277010179, 241770028, 753044437, 26531710, 606182519, 898179708, 401743060, 546729919, 18741453, 556353181, 670615521, 303065718, 48851391, 793259118, 291276996, 389733542, 244807981, 664581388, 829876599, 22479523, 18680367, 179268379, 987949667, 195322851, 521022077, 50858558, 559094427, 325905444, 353315759, 741150396, 319934614, 511847079, 10934580, 904405024, 104595248, 285771287, 85725780, 937971357, 589056836, 102538932, 707284285, 489817280, 75429788, 346742114, 749697136, 199967610, 880349854, 759411723, 896540000, 467058438, 582863535, 945926993, 609297962, 830941171, 817497563, 231127614, 238691685, 308866404, 947827940, 721001207, 947193382, 104505798, 179573970, 809458132, 430189145, 236026437, 152042887, 372231389, 794146987, 508651490, 913715325, 609318769, 499637986, 198884809, 629130884, 637779756, 460909575, 234587020, 644994413, 335376957, 995035956, 953810799, 863592394, 863689945, 977798568, 814519468, 940979168, 360238477, 508334867, 13390434, 508586629, 543740352, 231362530, 825992271, 411544144, 806384225, 612023271, 779162588, 797607832, 65751085, 969781516, 59610828, 655139907, 337604242, 274376688, 774998849, 291462339, 497783766, 620721974, 959638332, 345075750, 498459288, 429085627, 882063156, 207582851, 169535911, 961021390, 81382898, 668606094, 690039278, 564264230, 463599585, 673515134, 355294910, 197759316, 798193274, 907635449, 255077638, 994172123, 892962125, 765605942, 68444434, 903541229, 467922366, 787722391, 476730095, 294385258, 374501198, 241818891, 4678379, 700728385, 63920313, 993890710, 608616696, 765202731, 620591396, 895401710, 371961404, 170358924, 585802360, 460648986, 628908951, 722736283, 78521892, 91878694, 365677902, 334930491, 908499049, 411515350, 368642022, 760261495, 801433106, 967641913, 302199450, 842378998, 516377313, 110947724, 486027524, 632247955, 84074992, 506338430, 392997720, 302430120, 699887251, 656777199, 857502523, 196100287, 254611843, 661657820, 379187726, 156554470, 773116798, 985788970, 982421412, 864395121, 142487525, 270958922, 716366925, 647242852, 533812907, 157831746, 120069248, 682898340, 421637217, 138228744, 716057727, 417099336, 857868839, 414531802, 939290145, 517323713, 137322910, 469776365, 800699041, 242138298, 881736301, 871740118, 293726353, 202391575, 859855125, 557584508, 524815440, 931406078, 835815911, 640135760, 858499564, 118165448, 461249745, 775769661, 960340494, 116747435, 598769028, 17593050, 238825925, 409714594, 651731446, 720761435, 427136927, 517795150, 851828181, 41586004, 443835906, 43539190, 882075653, 588305350, 900510609, 275727336, 84016644, 888556532, 897056576, 766297851, 847574641, 555917019, 110301545, 659882724, 39976293, 323605296, 434538725, 144102434, 506990377, 674851144, 369792761, 416468692, 309924813, 346067202, 678543542, 991708095, 4880461, 170880149, 650479424, 48925066, 270729866, 503526245, 657705595, 253482515, 298691209, 881108057, 204784173, 756249349, 89617940, 801177968, 777739540, 799208635, 289284005, 842991500, 678842802, 968006939, 853301148, 852504947, 887229972, 698190440, 693130679, 706764382, 267396245, 142895429, 206483700, 303864900, 216773225, 757864030, 868887329, 681158082, 435725884, 41922072, 280939852, 836548438, 67115418, 528173216, 645901363, 612500030, 30078978, 611206859, 812360380, 617911133, 319136166, 649564252, 260055159, 910875000, 802672823, 757744903, 196258810, 163954117, 830010254, 849516850, 472616274, 263982756, 128210931, 181608257, 297373858, 561894395, 48083242, 541073115, 957172672, 824385926, 196932457, 762730332, 438510115, 190937391, 954668190, 699473187, 16962679, 653336583, 489830012, 260824471, 731796959, 970905082, 388258413, 797834012, 964655733, 992488484, 147014956, 967036622, 134981747, 50603502, 594774265, 66219327, 723456176, 818991649, 519400849, 698408110, 697790313, 224274081, 96599985, 29867394, 897728617, 71712792, 306492511, 470388903, 75676302, 500124082, 819041783, 671247845, 763412280, 325025617, 131165109, 725737030, 464509343, 818516446, 286295658, 604992195, 46095997, 920375713, 849830005, 328730535, 742258922, 184508231, 985958485, 449343580, 160959225, 396781940, 976084524, 662607621, 855448787, 424554177, 952660654, 314353703, 414240211, 110163286, 469841550, 279244078, 226910344, 211546961, 202536666, 838881611, 266156438, 316252751, 236829485, 705886351, 93051321, 53890011, 869465381, 275839124, 824577738, 589583629, 42356413, 598732679, 579457922, 972098933, 616090548, 621758047, 928060065, 878158811, 220833600, 435050901, 678774104, 273619419, 182337109, 189204025, 509157117, 747864079, 842095868, 975218997, 241435456, 928452309, 947689012, 907735582, 720187015, 396860548, 939440231, 552810821, 518778975, 414848115, 737353945, 64929815, 58509229, 539747643, 977594570, 711380958, 864861635, 943622898, 557138674, 864243166, 223698344, 975719122, 602242482, 53772608, 199584009, 22388947, 784646891, 612291628, 322637417, 354505839, 352710790, 413615433, 7153838, 99781033, 708635610, 672347198, 734430887, 669589234, 479712324, 77707819, 528475178, 579972092, 861943078, 870301944, 882953158, 977338499, 231253302, 873220825, 445997189, 414084861, 824712174, 331065494, 927730953, 607707545, 743042310, 138938541, 731656189, 375705897, 137992094, 739253497, 378922581, 545412633, 856506705, 305683477, 168509290, 528062038, 339133264, 533068138, 122346592, 453095236, 758543649, 451361311, 660099519, 354559011, 930635143, 96757989, 180668576, 850480527, 405696983, 970767223, 839213346, 609754293, 50397047, 724068419, 908907857, 544031760, 609214669, 57856097, 114364609, 302383450, 638920020, 8851462, 909290543, 164049788, 832779231, 297199053, 564671390, 400725359, 123446938, 706441311, 977719466, 569517206, 483303453, 21530429, 104943945, 791268552, 109178525, 577687899, 640260229, 346364982, 994562742, 617075880, 374485426, 482599587, 870955651, 12515210, 992555253, 253486222, 540127219, 974303167, 523130594, 225303810, 979670384, 841152181, 949721832, 96125158, 113219080, 298042893, 47298842, 975531110, 275167750, 483620277, 460837271, 452825069, 970946168, 592938730, 567467983, 819131134, 313972354, 125412402, 501420645, 913007370, 939578505, 659851272, 828484132, 891974584, 115766166, 615467399, 38250425, 484688264, 238127809, 743507067, 439363741, 729676230, 137975, 809850551, 273715752, 932438242, 663757524, 995699631, 975832550, 770989012, 505383382, 559495973, 606137319, 41053329, 332805605, 548609665, 448143659, 60062481, 886530373, 614499661, 862625497, 716356011, 343096447, 59793366, 340221101, 880271367, 253499086, 811407273, 15929565, 357267023, 300315670, 434543574, 711555417, 154183608, 349524893, 788661419, 127109223, 450239207, 374469821, 297561392, 735180767, 943606275, 599833261, 73811277, 930477209, 342421648, 23249947, 464304221, 151034134, 982355319, 646788866, 966088286, 657697802, 572392365, 488463020, 508876502, 748415023, 654524878, 964525755, 256197837, 109989541, 955403294, 662179812, 385880124, 67946664, 809639283, 236115557, 243145549, 551835108, 466440433, 607323352, 855901775, 250746588, 602609794, 789114937, 154251351, 38553254, 313072763, 751307059, 734206374, 554037860, 299090136, 89682698, 359588717, 559252909, 979554890, 991295037, 229996806, 963883790, 626204669, 876073815, 97706658, 596992975, 857470575, 214674563, 115830047, 591350883, 128493032, 400894721, 845926338, 352185546, 218533766, 935855625, 966400076, 754345735, 598438558, 914263876, 577322492, 905423559, 495043989, 684045569, 554386577, 152358701, 886482104, 477624235, 163431801, 930107946, 511086167, 16423662, 925160254, 133984317, 908873611, 427118425, 215059201, 359648444, 932969373, 834737618, 973302847, 661683603, 43178810, 694772346, 526689590, 601376757, 731289381, 40658231, 777847917, 277795352, 555635893, 222351373, 690238888, 539957983, 820049970, 15193645, 785377403, 504432799, 563113701, 650360634, 343366662, 527755709, 601419994, 345850351, 757656219, 505588854, 960726911, 75666303, 790626917, 517454592, 495242413, 567375637, 718702459, 47390287, 612106489, 276258944, 476223334, 475687297, 159997012, 186689834, 52349310, 226998296, 514267176, 860404765, 293854319, 218812309, 33445329, 111295150, 461164734, 762485090, 109133076, 176553424, 484946207, 56617623, 96692897, 14756158, 64282391, 343173464, 297335857, 179217537, 496085843, 433257419, 594110398, 146486976, 161252030, 269303745, 239107017, 538060954, 328210101, 798060726, 458481296, 225500603, 449856650, 68373634, 410054598, 318534265, 933383247, 273398934, 395435400, 436942136, 597086418, 690602918, 84397063, 683306269, 529452245, 201388304, 127438681, 542108652, 212231292, 72785610, 216827967, 588076084, 354593269, 48848820, 721083403, 892466522, 120001854, 904105303, 417205138, 488489245, 592162008, 380840968, 962673516, 132646587, 818791712, 581633789, 334943913, 262534680, 348773522, 923408682, 821508308, 572052747, 94625948, 602978947, 451639763, 219945196, 425549853, 239703804, 587451226, 862543083, 655206363, 290023983, 173884946, 991384952, 147361692, 876773642, 14032771, 229886590, 305715678, 646756362, 478919109, 717543129, 815894250, 931954197, 300249755, 685161122, 416521540, 406322998, 37850623, 166982452, 39705475, 519710746, 208685057, 563743928, 243778537, 156069832, 899009479, 145071607, 367765236, 703578338, 807844244, 218180733, 487197040, 739553413, 17812660, 808147319, 631456228, 41971746, 385792127, 281438319, 287212164, 338851446, 504758999, 938945233, 399724503, 151786142, 219020322, 451813772, 636945813, 993010113, 436323940, 176802220, 45323516, 772843147, 931690402, 782260032, 883499658, 672768845, 417625519, 532274216, 55142270, 680916264, 656823882, 375904110, 588691699, 29765796, 160427298, 592785958, 760118665, 246179657, 706749056, 556092080, 338908195, 924573315, 102261207, 367059629, 702952111, 442958889, 216305694, 677454541, 116856852, 97189728, 887361109, 966032341, 724652139, 95083015, 815588269, 229089139, 824029928, 109583925, 513405153, 868911359, 368140829, 138125594, 952221954, 190901465, 746857147, 179865168, 589367049, 846903937, 886840809, 310895194, 957462718, 797594523, 322650655, 864650594, 382854188, 646893295, 744695202, 444503675, 687797829, 348637856, 73674092, 276834527, 760997230, 361098203, 728834241, 13877519, 939672036, 106249442, 994981286, 219947947, 90654931, 853408370, 934153577, 879027665, 710541847, 110754105, 106286891, 66455836, 856575621, 732539477, 672527315, 535023072, 226363860, 943925204, 734516626, 308244979, 77706482, 4175063, 600949023, 932642240, 429830815, 272847758, 76239423, 525174797, 595943381, 115923165, 775515204, 996739560, 171768983, 988590016, 420170432, 337666349, 683298911, 776948497, 101075550, 778367234, 788527721, 12466095, 425231330, 795637135, 53499920, 512901567, 599846080, 25652947, 170385704, 679889220, 534931385, 201319017, 857567192, 152006784, 184486576, 640592788, 244806662, 562587498, 987423774, 518649047, 162647315, 619401399, 361674428, 489471781, 943897025, 860224495, 346790548, 586598132, 628213884, 219202003, 402631907, 536293435, 230423649, 977348056, 569558102, 833788259, 107553973, 516237652, 684670733, 899853137, 52125085, 237864690, 250511049, 189878892, 42883715, 880943997, 466037336, 271548161, 413157702, 538147056, 798287741, 666262336, 195559694, 91349461, 340120954, 444163391, 334809394, 603090921, 389702701, 385137702, 370036613, 849282222, 184339877, 182785938, 334786632, 669388096, 777289130, 179125278, 231602480, 211417976, 696626468, 481307906, 633121538, 196154129, 475645526, 369880036, 223500570, 645811851, 465697064, 256562820, 687382010, 213349080, 440356368, 611731924, 303188518, 271802658, 43719109, 718091830, 918262287, 485514616, 667782547, 985511561, 46958857, 454636223, 529917303, 457241233, 803740427, 463301238, 748877939, 982766452, 568889008, 868745397, 47593417, 994049325, 25697632, 498217764, 965462128, 162520377, 34462886, 286567373, 907530170, 964324314, 25669721, 833166189, 173240889, 475167374, 150606074, 250204420, 245291084, 427868654, 994906022, 956589209, 165014840, 271122329, 820974806, 712102377, 801634434, 260845687, 804514998, 353080327, 531088631, 134002242, 964888197, 142850324, 494831630, 929449825, 85520024, 626539131, 703541230, 299047180, 116443630, 894274345, 418426762, 329280725, 824396019, 529698375, 506626426, 489592694, 464365693, 527161381, 842825364, 774954965, 315456147, 388237057, 549186875, 650144130, 479050823, 809262524, 639759583, 511142829, 844385668, 109299790, 396413397, 278595651, 414242047, 861345848, 210854031, 91549955, 263260642, 40699545, 414980228, 995272947, 807821112, 756830141, 798893664, 477720518, 22590465, 350606706, 312238323, 684776548, 891999876, 463169075, 338929220, 89238628, 680649959, 912525259, 639457236, 581358671, 34934119, 775984768, 126770755, 206889167, 813169029, 60214736, 409773251, 196067065, 96278509, 275308734, 340349619, 194613552, 971293337, 995810250, 338880975, 247763936, 987653679, 426756174, 122870979, 231373118, 996072727, 235927246, 674223981, 545851807, 950423807, 131154558, 131991753, 577893774, 678235296, 910375340, 506819034, 123142911, 845483728, 151148148, 652397541, 614162980, 247028282, 944425433, 484933562, 88854735, 292841978, 33001029, 21789509, 25878688, 710188776, 56324568, 154095860, 66748830, 372052917, 425421258, 625249866, 655729018, 582642620, 384172338, 713381381, 141587357, 977408258, 625306982, 972149374, 181679982, 655260716, 667642849, 704903845, 251286243, 194413984, 170869414, 671916447, 986511833, 405639261, 298448901, 391375633, 709412880, 882317650, 179145778, 113420542, 314586184, 640970787, 763092619, 204395261, 556246410, 522919443, 464553774, 427901011, 790024685, 715882525, 831115497, 463852932, 897274722, 177123203, 346526934, 264068232, 226777000, 309844436, 13867468, 607736895, 729225295, 424406524, 806361360, 855906873, 405534870, 314155114, 518447154, 996036884, 972311518, 824116382, 630835747, 362262571, 543659872, 179028938, 579170997, 336015235, 419070725, 503730703, 535746427, 699304043, 200628624, 927713478, 727817425, 547564489, 468145421, 4133464, 636265708, 439391674, 714428971, 182913298, 417981940, 878774525, 992062123, 827139039, 513029032, 535293648, 843850857, 532885882, 939014205, 858293446, 46479285, 400000526, 73140703, 26932494, 865609078, 307075340, 603423853, 122207213, 353026459, 12658734, 369026917, 203782707, 462476625, 481922339, 479619, 198244407, 205189706, 628181064, 180376190, 84372409, 368770760, 554142694, 542983709, 207110326, 589869267, 135412727, 504198280, 22079371, 150854793, 26579829, 983032256, 877466270, 929084991, 498551314, 710830070, 741037931, 7616842, 424196730, 707450777, 82824092, 792195659, 448005487, 834909916, 728326018, 598714654, 653764889, 64993161, 252152643, 380242721, 723425244, 548605430, 936246969, 883719482, 277269277, 805903179, 600819922, 762366049, 838345241, 85269274, 780852527, 584347352, 743219695, 625277902, 616839958, 111407861, 328597203, 392192684, 109298049, 125833704, 210569387, 561410819, 398888164, 634083082, 295709686, 867755764, 371309061, 17854404, 440159220, 701982665, 172593180, 823677615, 664642808, 587801367, 540634838, 336465454, 855761506, 437362804, 757925876, 853824597, 378356367, 259019047, 211701426, 123096159, 139676256, 17522212, 102612022, 648328699, 864218700, 642386094, 977709750, 981977755, 614998185, 680525736, 781476326, 360843516, 703788834, 841629128, 199058263, 8042962, 904221880, 668028402, 166565743, 34694694, 367884111, 5193822, 400120912, 622123518, 73386049, 648965074, 258758758, 471654376, 771438145, 182435344, 268852930, 351733834, 864038618, 941533821, 258385857, 130057268, 181141433, 980772740, 758851052, 797052695, 68038475, 681476722, 158100693, 864360180, 932965124, 264197156, 605885009, 14839607, 49330576, 87053757, 584568357, 105457064, 495122156, 657370344, 18314956, 311055917, 304268322, 760968931, 242591909, 673232358, 863534557, 172668770, 579831571, 908121049, 368913390, 636005736, 329405762, 280690146, 713479131, 771650235, 254913936, 210552087, 928445753, 374178868, 269403729, 70076725, 657990415, 793243576, 625108762, 45204702, 757730860, 277328822, 53989575, 625583075, 215456836, 196885320, 459044025, 336556594, 867853176, 188738354, 659495314, 890797224, 901803829, 713885653, 824968837, 145313905, 262007654, 875686844, 310927421, 432571451, 653898364, 944516994, 746523208, 40826290, 535344571, 825377623, 84538257, 486695317, 173534289, 179977543, 432105520, 152633613, 336685204, 279604749, 350456648, 737057640, 841913751, 100395845, 73929560, 197003312, 874117379, 960471730, 579855696, 318671658, 771855599, 72697019, 996231611, 197547798, 979740565, 572877398, 601864058, 572200364, 606943061, 28218527, 46030173, 907475291, 827990109, 6726068, 978363915, 676547297, 961238129, 908746528, 512766604, 894596885, 484558993, 384075327, 355381270, 99284579, 346546529, 139377338, 855284628, 167931921, 728592844, 470247228, 720658303, 656867092, 95428784, 199449355, 768739012, 777678793, 958436683, 251202328, 721733443, 669251354, 578633896, 936962973, 715154642, 805652515, 55782893, 370302316, 632206006, 242354655, 204476990, 835056945, 775602408, 163754038, 879169823, 703967833, 824072407, 214475008, 641860191, 268754809, 216087289, 718032366, 142332701, 632853481, 702446963, 891709951, 731998817, 422552101, 81378710, 764833875, 42893122, 556507053, 172960947, 381948299, 651870048, 228997248, 94655805, 141953309, 526752259, 966780751, 54382969, 441818321, 708726472, 434822243, 196849113, 457855871, 716677932, 189649829, 785616454, 271650559, 608968629, 534823594, 277631945, 348892618, 368982089, 81278327, 578171494, 171163307, 605858308, 7658123, 252035000, 338412282, 352958728, 592577704, 543881897, 475567987, 951988853, 823947663, 605589186, 696664882, 733536734, 575029327, 144361527, 145962741, 948706629, 83278360, 998071795, 388423775, 268551908, 261269646, 456304881, 518717759, 511797652, 508760463, 270695064, 461753344, 939374715, 802428202, 329151151, 896919535, 497655896, 99197650, 390701739, 719739813, 941724868, 162937455, 627212545, 200955675, 467669991, 762222960, 20092694, 367033599, 852235456, 568585291, 672081508, 790601977, 538659500, 4910189, 304964195, 449232854, 692438695, 356535554, 400062149, 679154931, 101610113, 50419812, 989983486, 890225574, 448983223, 446086620, 140984043, 798152241, 223002946, 466758863, 571436833, 414195847, 756466135, 26271420, 31858256, 623823185, 535167443, 634117383, 858872597, 829534080, 609991327, 988180541, 694982124, 826890053, 438208015, 309668820, 573049916, 629584600, 127538866, 279336908, 406198592, 923366307, 907266738, 413203799, 634201689, 764939975, 770806209, 97311300, 139892086, 172488527, 827192064, 910239084, 496093112, 441201993, 497735624, 981966175, 370546844, 405062807, 349178179, 127040073, 693626548, 112380224, 571666418, 125497826, 916204312, 456032504, 7761186, 79519658, 642133932, 742781731, 415796825, 320269282, 505257783, 221395408, 553419679, 485970390, 499072715, 992206979, 116157302, 777525034, 161863411, 719984750, 896431964, 276648333, 930065072, 851036374, 944638175, 742438202, 332957063, 764847456, 213035382, 880749427, 224052088, 336367312, 725285002, 267142809, 108466341, 76046913, 884170691, 746085260, 251650795, 14678928, 231276287, 891621747, 564977203, 135436711, 842736871, 432553014, 127532906, 824822432, 294929893, 585498793, 301225972, 232147337, 873620669, 512151905, 251253832, 707766032, 784214477, 896418975, 941254593, 295805925, 18172893, 973721530, 247894268, 247581952, 94701548, 854148113, 95695244, 626042576, 621246352, 157336174, 205077955, 997585113, 350854897, 770935971, 619821000, 24196814, 407524014, 39099211, 439654442, 99665796, 376315825, 892998546, 606717552, 911685320, 313114622, 950381865, 746476861, 310808069, 981757307, 289368292, 124918720, 293515050, 379873180, 979865553, 198406277, 447224294, 986994929, 144244665, 831577981, 881605803, 812557879, 776702926, 336577920, 429324137, 519450189, 579590286, 577603943, 544339022, 410770934, 850270313, 175562519, 571394754, 121079984, 798163701, 375661735, 392955211, 289993703, 479720925, 730262546, 924086800, 151928756, 507624958, 625751897, 687729792, 289223515, 182044357, 115027825, 37371627, 671070782, 410012270, 413967926, 811183598, 256740992, 584507147, 682153269, 657065316, 587983135, 264805251, 894579924, 790612711, 251839421, 425532724, 908418620, 449954661, 245405846, 739928171, 479727355, 535125764, 605338935, 336500950, 74744004, 413905083, 478683636, 408636008, 485734405, 753096786, 156689850, 813343000, 640402878, 3535181, 787472952, 699818323, 765162949, 531747374, 540854872, 994123221, 411780778, 840237126, 242259109, 178711743, 572635599, 233754785, 151435636, 397352333, 478079435, 450452143, 704263824, 99386287, 9298028, 363657268, 746957255, 919091990, 235076884, 746770991, 106936348, 534380820, 837021316, 473570052, 591611174, 697377279, 239343647, 934476997, 559690249, 526806015, 855171805, 386238491, 195571360, 626362064, 683966693, 96304749, 321359528, 456730236, 755197914, 491055641, 676726606, 833071212, 53024307, 771392003, 240101495, 824260265, 788118047, 45317600, 888138347, 265989754, 768381614, 686487678, 880643651, 276579806, 728865620, 829573025, 452354428, 532913863, 589796442, 576223610, 894287703, 382021422, 268135238, 695681677, 487256214, 633111640, 210520699, 617939043, 121765745, 653112440, 403317800, 437029127, 147363346, 32609452, 805976762, 368133348, 675341664, 770254911, 986885018, 483825078, 558510489, 489662433, 576459432, 862083822, 460186208, 574862669, 584440296, 555660488, 218239757, 978902721, 416018519, 981019233, 354329165, 582792143, 261693965, 769805587, 632579098, 738986184, 370291507, 782253323, 980763129, 18533537, 983755178, 500526387, 797147422, 81631120, 622313918, 803295232, 451237892, 964971536, 526287144, 757584009, 765707906, 928395101, 928223383, 841059232, 121000150, 592851393, 845546070, 906830568, 16705267, 540546212, 982757919, 50973281, 246538160, 807601820, 580923135, 612214016, 454998415, 264485217, 359761171, 856294564, 734379740, 978143555, 599667248, 639015199, 340910893, 229865339, 427580556, 252651300, 655112807, 514852923, 142057283, 350552396, 276886127, 71063149, 565746213, 312419984, 136765522, 340376232, 114149069, 600547594, 445364207, 562235387, 581117370, 72279753, 378031850, 865804464, 340832190, 263423759, 704484490, 727839027, 189872265, 154727068, 767449037, 554258323, 229615350, 121830625, 591655559, 55827857, 446339301, 361638968, 201840486, 430271214, 151381882, 301866342, 804265686, 842593820, 213272929, 274177725, 892342313, 973921652, 95492985, 43746362, 728006905, 219015440, 227286134, 612826689, 656151473, 635984146, 864874211, 828308681, 195052258, 461018227, 492300035, 664588194, 902152648, 282711396, 379896977, 966453954, 575991070, 655214723, 100903574, 583389662, 88078801, 722253646, 476611436, 413507733, 952452614, 360416936, 305529697, 315712376, 399621278, 941955210, 363063775, 363390103, 817616595, 674113191, 985917391, 503521206, 29315461, 946415278, 584831861, 693242548, 982837617, 300538316, 201478377, 705038472, 777909086, 79184164, 767255931, 51913775, 558409763, 895494228, 13846218, 490954785, 241520683, 997148516, 841597144, 612613929, 351146621, 2113828, 335681201, 881045117, 573332255, 118276468, 677348934, 853283362, 544276066, 964807467, 678716356, 309444766, 834055080, 565989280, 379011552, 96619258, 856143607, 730392256, 387102201, 269618656, 572843020, 356263168, 239991725, 149150716, 756207502, 230864260, 582947557, 71702718, 738183866, 124131287, 719531331, 611848744, 662118805, 990829274, 917563586, 723065527, 241282159, 750383785, 244492157, 870728585, 519666209, 789039616, 597245339, 761701, 882838381, 749343000, 292844684, 396240977, 298575076, 273148390, 326938701, 682193720, 895846362, 844140837, 900079749, 924515657, 72577193, 342126201, 238450563, 288932750, 493612165, 684428621, 838967318, 777643414, 200242642, 202199385, 922200067, 775868420, 918740118, 286681112, 667747834, 437362908, 158809633, 318356843, 972332997, 659639947, 849187188, 9853468, 239144260, 29235218, 657281722, 256411554, 369308329, 457750881, 386384884, 713251972, 142214747, 179394754, 832431112, 479092275, 359627024, 498349067, 374443364, 306573058, 854199547, 885416869, 79570428, 735582879, 115600024, 632304816, 552462408, 374941812, 203533966, 768811530, 143218768, 486571515, 544752193, 683739561, 600373448, 586781894, 639589462, 432985275, 749578316, 709262918, 28996285, 552881648, 385916384, 882020959, 846861920, 958476042, 512665730, 997043273, 511288398, 432773377, 625365372, 671569741, 323440456, 382424785, 478417642, 432372440, 263120268, 92874068, 604233178, 276920602, 414863446, 558186636, 863317768, 569141703, 130051356, 553383751, 796668200, 87568554, 429638625, 254074032, 652796773, 4529389, 643978891, 36253820, 778820791, 905877978, 775937462, 489001381, 722140675, 937978843, 265737250, 335856338, 248161169, 28509057, 40030492, 597770835, 828167433, 934115102, 178341441, 610009790, 230999177, 723449242, 518813938, 170927597, 53979119, 492441006, 139995225, 932089640, 784480563, 932201868, 948670754, 930977515, 298588856, 981552231, 212421858, 232941731, 547764671, 688886622, 324855664, 772870138, 230590245, 912964601, 843717703, 875459796, 370079545, 193743447, 824708359, 368678518, 795927626, 259316174, 699299888, 732892408, 416933826, 718452142, 394944293, 230880106, 199810763, 773752036, 316316729, 267554020, 447727561, 469940587, 30071011, 752277509, 746587134, 402210033, 812375918, 590966952, 357431593, 669425987, 30603888, 494454789, 811404176, 526969192, 231344651, 8293417, 288755051, 485708142, 837909647, 134143943, 330432340, 877662376, 536578660, 716308157, 359504197, 645472644, 151109351, 297022231, 930673008, 465823437, 84902109, 886106653, 966374790, 858633247, 80297291, 396610961, 590718178, 48276233, 590139152, 77926215, 886959084, 257198597, 489921147, 843229570, 397933895, 535482356, 350857993, 402280224, 179767896, 310255426, 886760008, 867362962, 382972413, 708948534, 129527805, 751994024, 461940510, 607167165, 326349927, 695510689, 726228091, 231945985, 467185332, 637980536, 883925953, 908876669, 625830894, 526541373, 42253277, 553348855, 394576715, 488355560, 852995700, 798077461, 496452164, 184405549, 27631213, 833260060, 323367436, 613388453, 430145768, 831275335, 100528257, 669829537, 829381147, 26036492, 433656331, 244664221, 105731409, 159494024, 439293440, 691177001, 927886881, 558880688, 768949098, 720733226, 875077986, 115826347, 744024849, 24253618, 606111634, 830513436, 69478854, 357947434, 725832651, 490196295, 851122228, 498633594, 8064961, 711186675, 669108715, 200416743, 177395529, 792035220, 838908846, 529870220, 637696496, 787788548, 205180344, 720474998, 687110157, 15909865, 954191507, 379893107, 338164460, 437675712, 235690857, 454361593, 649258283, 785160398, 903721213, 24506485, 635747426, 48789177, 358083769, 620892721, 959403089, 37666789, 298611461, 522759234, 543209880, 138029511, 858907323, 353558179, 618549566, 126858341, 996009399, 351332761, 458187136, 927843521, 437818257, 632928001, 749915521, 924560962, 834679355, 606480031, 640830287, 525966148, 452722646, 834655482, 464428461, 751165466, 527257244, 384827448, 129596971, 772990696, 222837597, 927785858, 761027641, 57584477, 732831219, 752349686, 847660775, 535995742, 901607571, 103013784, 197789131, 198027455, 392418982, 398199114, 293629309, 86104703, 178500342, 607566749, 899123660, 346072892, 343773781, 904389346, 106856930, 711982752, 573042531, 211660564, 214152083, 757893636, 26644069, 345149901, 64099700, 583419772, 938871244, 885471394, 210805774, 252794491, 972052642, 196047784, 199349164, 391785697, 938272653, 163092495, 261593225, 81258106, 414632129, 790811962, 839934427, 69947310, 12593935, 329217006, 26225524, 929123565, 121863496, 747754577, 840290803, 796375643, 296153578, 72482784, 465889261, 352600643, 630942925, 163668371, 207513289, 240386659, 259948558, 138350602, 93300586, 690834593, 546214070, 43159143, 929762280, 778075546, 423764416, 928661929, 846047748, 710249953, 573502245, 203554904, 943042256, 337467417, 585996627, 453806983, 843282735, 401859555, 599552627, 966107919, 62382518, 715434079, 648639233, 977635795, 807743770, 96854359, 975520210, 118561201, 855887780, 228659867, 845172092, 378694948, 756034278, 366177518, 724243129, 484336806, 520536274, 380088158, 597371844, 563270615, 750338252, 785329953, 253354614, 907771131, 893459253, 804530142, 882194288, 359070463, 338234278, 107961042, 519838258, 183852379, 65156270, 416331369, 856328686, 273859488, 98892591, 296784789, 788570652, 342778687, 542675977, 580672885, 275322258, 187877474, 448630918, 82458126, 987029974, 822844787, 156004415, 171344911, 219184907, 615850785, 155618397, 863663881, 539342044, 221257849, 321638357, 133842966, 889252620, 716463185, 620227463, 864180442, 768818664, 112961522, 880859051, 607541536, 748216033, 917348826, 100449066, 534012763, 41131063, 387426391, 41131549, 457325764, 296397796, 691943940, 384268490, 880064598, 255900122, 281144472, 762759814, 607679373, 348798876, 582684885, 726010886, 755187214, 109675553, 196106436, 136427051, 444091038, 238723644, 734790106, 836955134, 632712404, 928520278, 804166017, 53732783, 643801288, 668717396, 713947865, 42926925, 27284041, 433527222, 559409653, 319222639, 507978331, 96997509, 383628607, 485114135, 179645336, 217628509, 153979979, 684661420, 358110671, 88969439, 945436681, 620994494, 713695100, 367996619, 617985051, 485671926, 411311734, 263662072, 309402046, 365571681, 518825031, 725025794, 106274994, 257243039, 339073066, 856880752, 241099788, 77647896, 284891500, 70426411, 423992114, 693698071, 97237482, 540030537, 986784637, 305682110, 401356189, 577247208, 749325541, 838990545, 554174551, 174090104, 329051919, 553404479, 511247142, 175428601, 813198975, 724778302, 255629980, 408677893, 599555191, 265674183, 428219256, 361954225, 39583609, 345209898, 323956872, 286053476, 482343428, 580113904, 870245049, 792769699, 760248826, 488537239, 849814242, 173373971, 261223058, 387894663, 689267879, 3396297, 525922710, 934089958, 84255851, 415513480, 99927995, 271660144, 215888196, 74074580, 403671020, 146791905, 23383816, 709346609, 750926671, 752349985, 864713893, 698465048, 891345893, 570738870, 701322581, 432049711, 453129299, 526230029, 52916332, 145495373, 835339448, 294236847, 364975605, 933306148, 875658776, 122801809, 155651500, 61118143, 957744542, 936305349, 112135580, 80563010, 167340139, 194845717, 71809109, 943409895, 606140720, 562806049, 74640241, 988195753, 634718868, 424117256, 2347901, 588631659, 363504482, 552696463, 474042911, 788154299, 162864101, 164047742, 266892662, 742015651, 102924081, 235324453, 507077598, 238115929, 878317149, 829777437, 197706637, 629141982, 563645090, 573814216, 630532458, 579242232, 597286121, 679919573, 395694932, 11397510, 822212276, 133514141, 303980944, 371882828, 247275763, 395068995, 359645849, 864823228, 514426458, 851010121, 389795733, 109633470, 775716368, 768735834, 652195701, 37488111, 328516579, 653173753, 25941478, 140649306, 649443206, 424955046, 753432972, 63193556, 913402064, 924587434, 986727538, 213696106, 999443457, 825106759, 869832372, 782495847, 284477591, 552880683, 666288077, 812093552, 820130978, 977162096, 392270060, 435941714, 812082044, 620262747, 680040496, 706046172, 819096205, 890037557, 872879652, 584827786, 498992363, 403866714, 75094288, 787208234, 276038463, 336438088, 366937752, 686196365, 287398310, 87590654, 215764361, 273805552, 140045439, 819137444, 300623786, 714817780, 73474220, 913830231, 873451617, 683894181, 707168056, 418994292, 945012416, 398811908, 92776778, 547431996, 816770512, 740297546, 281545844, 228360459, 480245523, 867622341, 116918754, 545976060, 506342895, 136307285, 217816559, 583819045, 328116516, 534254772, 605831121, 984788393, 649529062, 671306911, 164108016, 586017063, 215764167, 589548507, 261052570, 688887947, 9818077, 750244626, 850913858, 354137735, 988052783, 18722694, 901970747, 570265941, 24565998, 575376838, 120226663, 693236349, 504024854, 187002771, 688662615, 319639972, 496033462, 794790116, 534764117, 224629244, 776648010, 448653974, 541323117, 30517724, 376634134, 784732472, 649877103, 942500074, 296523965, 668861307, 721931306, 536326567, 569708049, 1566966, 319101118, 504067937, 699096980, 850510000, 299585846, 837954805, 768190302, 843841566, 443953946, 98121215, 4908962, 112872374, 684113028, 101831955, 344062399, 861331562, 863256995, 780593114, 764978981, 417720048, 384988742, 260270190, 729886894, 334729786, 134608672, 144146049, 403783027, 251203262, 746703317, 613211162, 271614460, 433097652, 586255066, 602399977, 40295187, 765826993, 362691995, 197502442, 870453789, 62362106, 855081159, 844436002, 435730044, 312403215, 223427065, 49873143, 896904327, 2342153, 521806040, 943880807, 847779253, 370566870, 31938760, 323204774, 952357305, 474187391, 989706548, 407479590, 59005963, 904685512, 779517599, 856379682, 406453270, 512366196, 274732853, 999149410, 637470284, 579598700, 470571016, 21758437, 928369826, 460786326, 495594648, 126857862, 635719301, 325601236, 820009842, 153357873, 746610568, 307349224, 392468222, 703012968, 222813311, 709073629, 668132804, 277196569, 636009502, 553780343, 721510160, 174663883, 41853991, 264705115, 695666580, 507298996, 236247944, 632302062, 449429224, 526292323, 363761000, 386884378, 982318253, 835017606, 608095545, 904901300, 200743132, 701600001, 389944478, 339761422, 946264079, 15356580, 831210727, 592914280, 644013205, 187268727, 858299727, 828985921, 1372943, 310211569, 341850149, 639052181, 895901079, 999123407, 209874292, 626137427, 529888343, 492441905, 878974555, 353183936, 904475733, 802271544, 839064190, 763541577, 987268828, 350895703, 545931256, 243793436, 402536458, 416376065, 370175733, 882646692, 563808192, 169621561, 424355774, 208960658, 761043268, 636782377, 281968537, 871268845, 149499454, 510708406, 835673382, 896410393, 899023027, 155135281, 950289484, 652653874, 476055598, 164062438, 74425368, 379974883, 530452831, 517636586, 940347489, 559699047, 310063153, 958660236, 714812053, 675987472, 399191827, 804130950, 400229209, 10220646, 326508746, 770419741, 75329810, 539180346, 712369291, 5663874, 856258011, 316568476, 605288650, 986154435, 642718347, 603696769, 737431647, 938189478, 153477720, 72650991, 58961813, 355546877, 195758483, 515639216, 912696512, 765823299, 775316716, 433820389, 550026806, 720489347, 994769848, 660364685, 522759006, 5395350, 792560882, 223072425, 906535256, 628657753, 900816908, 206992543, 339900342, 782671071, 136416944, 202909920, 986606497, 503539440, 925292794, 952065065, 17410347, 647828592, 353115253, 740403719, 296756580, 123405859, 11985581, 905074295, 232199059, 323910773, 713010752, 415405310, 647483927, 808341987, 816876421, 47996940, 556114397, 600872578, 429800149, 147992232, 969853116, 31181429, 659446935, 278026256, 914043974, 822737684, 491685049, 832656042, 479348855, 215601276, 439410574, 359030064, 864027025, 439188979, 541458695, 142719501, 584684884, 826623249, 419766591, 186805577, 961025725, 129716907, 445344886, 232184892, 329191603, 94231161, 156844334, 700940076, 308454700, 557771707, 60331659, 961503083, 699645548, 460535046, 785568491, 464806674, 904396830, 493436186, 186814067, 302015248, 59511333, 770068384, 965578614, 169109416, 207112189, 361964701, 22985890, 778182105, 656447422, 585142139, 970288682, 507476774, 495338254, 321073107, 125451049, 884569493, 502101160, 768903283, 837524695, 578426669, 261893209, 185432458, 154682311, 345671068, 93759586, 2087734, 943389717, 360824346, 3756632, 298170633, 428148185, 680407721, 814171095, 568399900, 462556909, 579943388, 289369542, 414022249, 123243805, 902685896, 722359004, 121430, 748761491, 385789976, 10209741, 890773032, 99020772, 788506484, 29768911, 372370195, 573118353, 71349775, 57559716, 135387307, 968528251, 875735342, 732054059, 828465058, 997006187, 559840258, 740194092, 509125705, 668974094, 741254146, 754120893, 52546360, 208858186, 773274610, 792685640, 778475828, 350830055, 288491264, 553022410, 857223777, 579666927, 932474985, 401159647, 846319379, 225932562, 319425366, 15378021, 15542200, 222569523, 217897611, 942050136, 472802045, 805557994, 502138031, 780267022, 707434009, 36588592, 610858310, 960359910, 961597620, 236337302, 350532792, 9479909, 659072616, 558608329, 610256223, 272084305, 476200070, 950105698, 995318981, 746880676, 458574429, 918395518, 231991487, 576277395, 515731897, 634179366, 10082505, 875563409, 864355021, 62156857, 872336917, 273993146, 10745216, 609172670, 967905110, 523936040, 92961766, 263961488, 455834944, 794033406, 677448165, 560476864, 689750926, 417025257, 924725894, 231241896, 504426207, 422710107, 16396416, 932706884, 812702000, 806404015, 951825931, 701466177, 701066624, 120142545, 851167461, 69932288, 434507277, 46451684, 925211081, 579420560, 234873694, 480716265, 959647894, 396014448, 998573121, 194458321, 908322783, 494890180, 359701303, 271039195, 119422054, 271297939, 846128755, 383523997, 380778256, 972080419, 150069145, 389424885, 627810778, 420464325, 665615768, 460336056, 626652508, 737667039, 448282346, 562709106, 31492570, 483483590, 189550460, 165183778, 343767875, 567919591, 112306373, 790069562, 518116586, 514850351, 245880502, 312488441, 884193058, 133932880, 332135446, 372387772, 162168865, 969692717, 233922695, 63071794, 628533781, 672416228, 580198259, 483386985, 517536892, 330587148, 131683088, 702105790, 503558956, 840033705, 864989288, 541113786, 426211952, 8458208, 42884423, 77502239, 106822208, 813380287, 445828010, 589881010, 345608675, 188448958, 960711908, 632534373, 511628734, 693037183, 62539512, 23446774, 17854434, 796943653, 511973624, 1660243, 347241489, 266314353, 717768371, 614484938, 850261922, 27357113, 29029923, 570166216, 225131066, 703886138, 929840747, 122257127, 18209399, 143727134, 326820926, 692639481, 135938737, 991443419, 90906615, 844171608, 580544868, 743773058, 242940773, 122147367, 509035863, 816118670, 649188265, 460280776, 415811256, 188273632, 64199211, 833736244, 37513865, 616653811, 985081368, 892839815, 108321157, 201486455, 669137292, 671180886, 701496573, 539368506, 295619818, 454077668, 119017120, 81179241, 336039191, 811489071, 386180248, 364633360, 492683576, 810109618, 854490845, 850585611, 561688654, 741400592, 933001164, 350836133, 551515276, 477410853, 309534319, 282432534, 647950272, 237788439, 635359669, 284618688, 132922920, 313113265, 463529770, 352768742, 992780315, 9174440, 46625884, 325177683, 206088815, 104079020, 957318072, 215634933, 870526397, 615591366, 886461425, 469285530, 228717852, 945467210, 412478884, 457170464, 874931156, 738365034, 258764616, 350180264, 960651502, 625974248, 480231615, 89003849, 55408119, 374487090, 1960728, 964199304, 668779031, 312663138, 321455760, 708037356, 670710645, 946219497, 169077229, 923243718, 959648870, 660292897, 431209152, 466527259, 301036491, 514621476, 990185820, 254190832, 33518017, 501482036, 274412437, 21311095, 277249510, 169769927, 569909625, 370473533, 920949017, 624474338, 867031091, 924073158, 970669853, 512375537, 804813824, 899950831, 469158459, 921412879, 123969024, 839160895, 299996467, 661993522, 994337389, 568958425, 316497412, 549100635, 938132567, 398107189, 106494703, 123453903, 753255416, 32383529, 71053937, 830483691, 752035653, 1936945, 499464628, 904791512, 323374430, 813507358, 7726640, 507498108, 215948565, 43282894, 581396375, 374363815, 833994669, 742223240, 208176321, 770820597, 356036635, 933182413, 625821654, 333061118, 75386225, 718772920, 86520334, 545972220, 605834149, 685436991, 835009645, 345413347, 417629925, 486755298, 423548985, 945904657, 273880921, 762967379, 374162100, 418323179, 395379971, 908086425, 293524081, 173018994, 908234135, 493429651, 147073841, 609638513, 302209453, 922057062, 359456043, 879922463, 79035287, 149373233, 891742621, 537543771, 11092256, 503523287, 685089262, 474555764, 215228684, 541902057, 442016444, 4019283, 158700661, 923528206, 558994633, 424354725, 737664763, 293375026, 465801472, 3318609, 22412915, 115750586, 987697007, 391772360, 883236460, 709075523, 547128862, 139546388, 326059763, 798967910, 583960558, 260416370, 304380166, 40209142, 868612310, 679884906, 632137294, 999006732, 219910078, 416704959, 577878292, 310105899, 562780104, 293093956, 555485800, 320353362, 88359680, 383148655, 930582706, 582713554, 561042800, 119760680, 147032946, 697703766, 924301452, 889944832, 875288538, 748462973, 817430984, 346786393, 82633572, 687820032, 470648186, 574470218, 996205877, 377896267, 76864730, 454248568, 835513032, 794710329, 603923878, 581744523, 729587908, 899205155, 838214886, 66129912, 526015524, 139415075, 939761951, 745021137, 6552936, 232239071, 487923490, 282582754, 140887890, 744828461, 636406289, 39452632, 32585266, 350601966, 898598725, 644432587, 711275470, 401193589, 587040222, 147724482, 899149277, 217649986, 7881790, 561374951, 921219042, 788329782, 262995523, 668264422, 884804435, 411357735, 842459171, 74734481, 143702830, 944626164, 584006151, 723274350, 845856314, 212493627, 396753522, 779609006, 610027570, 474061641, 288812381, 116219676, 950717842, 614825205, 576347056, 508085928, 791855348, 377696391, 27988049, 954727748, 851581484, 656590760, 615312965, 612612931, 607052525, 362550457, 667061303, 855044802, 363712574, 964748589, 776410804, 619843163, 661967159, 45868539, 513827848, 89610023, 463433732, 854749878, 425975124, 288142771, 398052019, 532426391, 611975516, 21705804, 655471979, 465805330, 52126396, 735533395, 948633596, 965138982, 94716937, 490230855, 638341912, 464137950, 79594343, 153641834, 129919091, 505092817, 108095829, 768491705, 882068120, 314141661, 589604649, 919395718, 974015679, 998293613, 108767746, 45958469, 17015055, 89255688, 702416247, 844854338, 515807416, 954811889, 867612873, 443170227, 696670935, 107287508, 256502092, 214362168, 458743609, 900791395, 687518594, 482092050, 961462722, 920747184, 589402920, 459968631, 634415911, 426965808, 44346994, 365608533, 873665995, 528599665, 915805595, 522968925, 174367691, 582573072, 391209460, 339580723, 697485317, 791387213, 40604497, 980411052, 871918875, 39697104, 880723177, 727589003, 997090745, 47724679, 486481655, 316510105, 736022871, 447640199, 229766441, 522976336, 161072455, 573205780, 270560906, 189815650, 369931695, 142246802, 558293791, 831702206, 947116247, 349675379, 891200963, 814668224, 869123986, 469841455, 894306024, 543517499, 244277026, 892705971, 84874982, 32168210, 508838558, 75923562, 790903426, 294456825, 45530817, 773332621, 81099327, 938988242, 529282332, 714835223, 347483435, 64452069, 934924650, 861360937, 264474420, 235091635, 473870955, 189303961, 305618105, 475995560, 752714221, 678157459, 62428451, 958007217, 324656477, 854152119, 327678229, 626472724, 466456034, 446212762, 207345475, 784261101, 91628654, 777539356, 5908986, 590266889, 708333041, 596762356, 893388921, 412807023, 430674113, 766606145, 72960166, 715832622, 131360945, 394073901, 762307877, 924081548, 12192880, 753486333, 128716190, 839223028, 201002265, 683166992, 420240289, 397542073, 664411492, 733765908, 232353993, 958386008, 870002439, 296895476, 691351168, 961619833, 854560590, 777758272, 526631646, 481810008, 769128351, 903883856, 743663387, 118717893, 979494369, 491606873, 194080085, 900703562, 981684348, 831786058, 224483471, 648603684, 899182506, 904256255, 132139831, 370912774, 208337422, 598966416, 961486465, 728652034, 884283185, 32193326, 86465783, 396099661, 387096559, 567232172, 48561037, 552519901, 870910130, 736973556, 693088726, 780585526, 92447474, 234126125, 642280503, 632997328, 424217859, 186746443, 658938044, 110704560, 39604829, 452838366, 273087717, 288618540, 260647455, 577226034, 120338516, 311424339, 814783006, 370516400, 692382426, 780415300, 286074983, 864718134, 756981992, 178018439, 390495024, 302192140, 429391105, 880437085, 233239042, 675171045, 456855548, 702009774, 321718293, 205347987, 407074151, 821908861, 619874843, 402401308, 13596934, 905996484, 275634244, 706257532, 867550399, 232616329, 334919801, 513872488, 236232438, 705058435, 407812824, 184968182, 648528692, 672974917, 822083975, 462670069, 119346145, 501550199, 512009335, 236102315, 869529336, 198610960, 534594135, 607296974, 989781088, 962044943, 692821728, 403948549, 644578728, 343740146, 587002124, 308903028, 984023112, 837443123, 470391871, 772610545, 126522670, 686277750, 250267334, 618201702, 451126038, 880011797, 947088248, 261036184, 484551532, 321113294, 189466420, 256746588, 946760889, 845759000, 79541145, 797949892, 829685687, 27871240, 910024992, 186075914, 959397314, 132761847, 578724021, 232875247, 474833064, 65958179, 301205556, 466237286, 162842224, 673848515, 920364999, 267343835, 78245226, 137577656, 984680998, 87860886, 794688742, 696533307, 83028599, 472844167, 812894716, 760457114, 558044161, 70696653, 67938471, 164216664, 52731757, 69655294, 526876510, 45121267, 167886388, 960711502, 148186371, 373272605, 443690307, 78029979, 255511044, 440907506, 473811877, 61350531, 284357057, 688946012, 97462154, 324745797, 754948357, 970647251, 223579094, 579364243, 647346161, 510740952, 970257450, 409825670, 934767069, 778221004, 617132070, 381328017, 102017509, 634298269, 80247832, 977354757, 245373831, 736097326, 836156089, 643783558, 984965546, 406417065, 115304155, 209268929, 398865683, 521731308, 489666427, 325015189, 723057274, 813590763, 93900132, 882904650, 768604618, 297716884, 268161410, 470152329, 770061657, 28454420, 927119836, 308077135, 287625417, 364351011, 422883215, 417042843, 554299493, 855164678, 103061724, 876560452, 836960026, 230013227, 723329863, 836832832, 317236576, 181855355, 532169448, 168018599, 194626148, 785032330, 491368709, 31086564, 585801173, 955845904, 877862538, 323824068, 485220785, 109002597, 120144860, 136036714, 783940990, 196379089, 981895364, 891620800, 307576176, 468260365, 172709910, 965030130, 187661845, 540743103, 270104205, 476261786, 427407206, 43099955, 385519187, 579355310, 931703169, 452334862, 292890241, 828910589, 109061134, 595523061, 790786166, 359888074, 693712366, 137877462, 302533005, 806711258, 474337016, 196121186, 22596802, 685616802, 624416393, 789189998, 927958211, 33424249, 958090756, 229527197, 549636481, 28722855, 236040527, 629233696, 611746656, 901808916, 254232292, 337962914, 461669513, 417067485, 629554184, 304984283, 338249709, 658076372, 979113545, 932999739, 587728607, 867664171, 630193875, 383384507, 744242553, 571118451, 657267577, 15480770, 921448383, 532178110, 531498418, 709102513, 478079892, 712905102, 967107567, 887048171, 342108648, 669371768, 417858336, 709733922, 404002423, 990542159, 654989328, 617929516, 553066013, 193558655, 458947544, 904839348, 302226479, 648606920, 979390301, 586936597, 49054229, 218535926, 811736080, 192002852, 102087691, 774093919, 622383934, 573980173, 269746643, 29991811, 252665563, 706415447, 293388706, 480286700, 671167998, 630478240, 975520894, 287295947, 446318360, 359470573, 569640314, 322522167, 622265103, 739319095, 745701199, 102510055, 887475444, 653525088, 715651175, 440186634, 750603908, 762237398, 987799332, 358669001, 857541490, 753847489, 642775326, 778227475, 357191066, 2407189, 902878687, 57199604, 689043255, 955535146, 108574322, 409681345, 627465531, 869235679, 421335134, 155633150, 813770746, 185159007, 359470954, 406469836, 461431503, 622390959, 880274209, 814553050, 787639416, 273895743, 19884772, 967816742, 536773417, 692731340, 207626197, 249340210, 327446501, 995242291, 965828267, 57620022, 50287427, 851008086, 277234616, 261616682, 773457611, 413141091, 214836151, 185693232, 767513205, 193833357, 81136524, 460191867, 171457078, 858339248, 762476926, 948617816, 561763884, 153850043, 709467743, 24086144, 299996937, 973860038, 881356291, 326352553, 443620794, 772273541, 370987241, 205469758, 680962261, 82724141, 298608385, 937033670, 310076899, 489297858, 345590444, 447879203, 423810194, 935553213, 552773341, 892167819, 538131808, 169008269, 556174282, 989318981, 495041915, 738567955, 11051833, 477395738, 814061508, 198488098, 303212811, 715372176, 769502230, 655117530, 604740028, 567396579, 990068245, 257102951, 124193773, 25787815, 466758572, 281961845, 205057337, 896964619, 211731888, 906610892, 101211009, 508285921, 672868106, 392359849, 35195822, 914895285, 883391557, 778111240, 926131450, 353729397, 525236003, 467554805, 33404374, 821638195, 420634775, 532499639, 990679527, 275282799, 99180736, 275608512, 896023728, 353640894, 743455518, 342040096, 849154546, 479273416, 212405061, 414566780, 254083479, 927681605, 41049914, 609939861, 79237546, 777896549, 941128832, 97791358, 924592181, 299873212, 529429681, 817354240, 503840368, 99448296, 493134631, 6885185, 937476333, 462726403, 983263402, 86930555, 202217113, 603779233, 524973265, 405383974, 911102210, 22452567, 303420818, 90432373, 591168781, 632709307, 407452552, 73960574, 76615808, 880514188, 734230164, 778713946, 515020281, 72377740, 83496866, 992753020, 525913557, 2093640, 610939829, 38344002, 447372354, 638195162, 16660958, 121403183, 949776221, 551176826, 892819572, 428826742, 387479432, 797392705, 189206693, 834683583, 906113991, 536397382, 712951348, 21458099, 286505608, 144861903, 177637613, 395388951, 943159326, 372864832, 362630968, 111948849, 122344374, 670147933, 768362532, 18587688, 620466631, 802655608, 428879680, 232523594, 926744339, 369930068, 983906680, 167796080, 454554358, 134382008, 452483109, 189057923, 109831637, 715568116, 649306011, 348891761, 681966771, 856221780, 22060550, 706899, 269863653, 963177190, 309924100, 101310241, 516100583, 34822825, 186971465, 176169728, 891757332, 195017813, 723811898, 235300878, 182123291, 351894705, 975289636, 555746340, 518074107, 949450240, 307967536, 949375002, 352166447, 82998965, 422142107, 935925977, 899002335, 304439943, 105909155, 936514426, 53929951, 932416519, 81517091, 503779714, 34123452, 195444947, 61850243, 168533451, 616370423, 623981088, 771792635, 902466331, 425156494, 145991807, 15441962, 230119667, 595729082, 555485843, 792397514, 36206209, 510349624, 890449064, 739438341, 4757924, 752248106, 926216804, 111060372, 794172031, 689524697, 301907753, 855003751, 325962497, 643730347, 676705149, 126983754, 393884257, 895861942, 290380463, 473759791, 901875069, 859832944, 141437648, 872224071, 245725313, 860888251, 689392876, 786466075, 235834589, 184489494, 675694603, 102349506, 826302814, 100225002, 34398985, 174577697, 22767812, 56178237, 827226525, 385383460, 648902953, 632478463, 188427667, 119979958, 501732383, 799723639, 910291867, 722567280, 309188479, 175682078, 939607097, 837522517, 735424083, 961901704, 705355349, 496961041, 297883443, 44779246, 975533211, 404868117, 438260458, 423780221, 382952267, 265547020, 205090589, 669348972, 618319271, 710375903, 385452414, 64898165, 66202067, 629445427, 354472116, 202148204, 705326601, 563864185, 851039856, 278120412, 160495780, 763543378, 962577368, 723857424, 855810033, 326496982, 477279337, 524437371, 533689243, 895129137, 142153064, 198798511, 238008706, 366359797, 544343729, 879607889, 588615328, 306126683, 596773421, 708404102, 495400268, 528629936, 514915680, 422971170, 169417639, 433529269, 232197246, 302341245, 465452518, 690708649, 98840167, 82780958, 481692443, 866100781, 936710178, 257200011, 769156970, 930368958, 354434993, 165891451, 856449825, 735453482, 212595512, 52490667, 237996394, 251610577, 131883269, 658606444, 284203299, 990788003, 990443448, 662611395, 496263920, 843100770, 173074355, 682673766, 992169557, 723560930, 997505653, 221945393, 720172440, 750203316, 532056869, 261409517, 674894055, 8281486, 950083598, 561567742, 705542104, 603104293, 36625302, 282028353, 111836018, 402096645, 256376816, 724178197, 534408803, 197161675, 417140877, 66021011, 13871079, 142006862, 382397126, 372678129, 900622761, 979488712, 883538954, 146141136, 992037399, 940085732, 81450919, 34738385, 617690481, 611872320, 342616799, 499417603, 940771935, 823548276, 624852964, 770731074, 864730537, 920291644, 206892658, 283618714, 984324735, 696569932, 281921452, 682822724, 2795194, 34810474, 222490679, 961546016, 991819821, 855125163, 880339363, 517488829, 791528584, 749027990, 792566233, 769911885, 723789195, 404376358, 212689279, 610199926, 364574782, 291635406, 26163603, 682867016, 875413436, 382178577, 953956264, 958721727, 676858449, 345502209, 976529581, 200218275, 175581840, 874812727, 251398992, 403252093, 875169315, 129779719, 330388847, 446643431, 665113210, 152941233, 317146098, 813243727, 582157270, 107477229, 823832434, 536992229, 250734729, 952250109, 611959332, 917921866, 844658586, 522874907, 735358626, 392565517, 128246887, 671219261, 231324543, 816176624, 822431600, 439409188, 812122073, 225550610, 99320405, 811877578, 159536767, 31818105, 176597298, 481713269, 107329749, 665108604, 601030234, 375907162, 741775157, 914292733, 730797841, 516785669, 639790066, 249120862, 497501951, 970137697, 442079827, 486569637, 247646436, 922699253, 132219861, 985956821, 347174828, 117894314, 12686666, 584546283, 489802973, 85456780, 365969648, 421462787, 945980925, 454099501, 270905241, 578628530, 116718721, 237250634, 251503819, 186670007, 558534433, 158041951, 127942755, 574817521, 92149688, 378373628, 678877240, 417008095, 2526207, 15029807, 810502152, 885501486, 646165360, 180092205, 907311749, 808499453, 637890286, 583238084, 222752945, 337030627, 5304346, 212634516, 178057209, 137449738, 941812020, 278729643, 377995705, 638582856, 199157688, 328677867, 811334644, 621891679, 506939960, 714684272, 271463928, 792478894, 377252730, 839991211, 747202265, 354044508, 680281853, 911402325, 995188298, 452885271, 861605340, 534865357, 293795026, 415085564, 830575817, 269568158, 929045668, 551739070, 587253212, 138494099, 432439069, 518199773, 499244291, 342489911, 513497367, 945724216, 490095681, 862629541, 268390083, 244037632, 654571641, 971210629, 828816383, 371676373, 854374569, 2869277, 388777822, 315626881, 187614999, 635646108, 885887990, 626717155, 165786258, 20599600, 674058504, 302410008, 993938880, 980213513, 57790096, 396592703, 333278168, 872593392, 55488766, 732878777, 542014469, 11468969, 648818554, 862291123, 879916599, 711022849, 329675767, 35901718, 911321791, 137412405, 906347224, 80634320, 256432804, 51522444, 243527183, 308460088, 483166184, 617060655, 205814466, 685840867, 399014135, 154822264, 233014577, 814869690, 299458436, 435568159, 467161225, 429544245, 216424621, 363644283, 531746539, 705512708, 37928949, 853653392, 954345158, 172994014, 901746159, 536854191, 379049000, 337733685, 117906935, 228936283, 362518951, 517748704, 984834065, 68277825, 310009757, 748634140, 621018932, 490686775, 787240081, 253217229, 146211032, 235998382, 600594953, 368357038, 628390342, 426250316, 373115086, 471593720, 915905440, 159497932, 383469235, 6468337, 300793392, 669302956, 724834517, 276521188, 353860599, 862887760, 558926611, 860112753, 729148275, 573618883, 612107229, 574889468, 271446905, 62524775, 283652102, 33338281, 260452490, 358370265, 596857509, 52979516, 359689314, 195835867, 6619121, 202910036, 304426560, 786469291, 842697200, 935629786, 917978183, 819751326, 52882003, 573084174, 521561474, 655884102, 127963562, 509193377, 538383740, 743729651, 372262289, 894297929, 767148921, 100802334, 741186734, 286686576, 686263711, 42014138, 55050538, 362866173, 672397011, 104489291, 483090117, 535789899, 106774516, 753322394, 141066064, 171569897, 764202277, 957267156, 53004148, 300080104, 483361232, 110074521, 337782114, 208327892, 706680373, 846581444, 870631560, 766141469, 327934593, 781629719, 923444372, 539522788, 693843671, 688045937, 558416481, 760394345, 556117394, 24624384, 933632268, 486466837, 493444902, 615358410, 54936404, 977664610, 603170610, 371422861, 273726529, 388590030, 354123509, 852994581, 641381817, 36537772, 221862024, 971962572, 224856563, 616189961, 772434268, 372924159, 200009835, 906134615, 49420985, 284641378, 878461777, 712231071, 703866115, 769873013, 656126363, 456894889, 638971732, 165274267, 144925967, 155470202, 800340758, 399262268, 640714023, 219669411, 874273032, 564891859, 640826567, 388464019, 773042360, 177646473, 747448653, 864527343, 915284205, 760598877, 841672427, 385694550, 794524321, 372153736, 225950158, 10701377, 787679039, 205928828, 254882384, 842287878, 734159049, 365291092, 701401208, 948825540, 795037996, 560710245, 447140723, 768422441, 842075531, 434471668, 522530934, 108648300, 83896146, 324766437, 491917879, 663038118, 475644313, 215039367, 962916939, 461580376, 40379745, 495218671, 682745319, 284069834, 792819469, 149115036, 949223458, 739249098, 435596598, 338477860, 476243182, 801609340, 424628122, 262457868, 15934341, 254096529, 978402953, 423935479, 689644008, 639974467, 270084537, 976374796, 580417004, 195856071, 286254387, 638027332, 944671904, 23403372, 43615334, 31296647, 122821281, 821800358, 933743955, 33029713, 696921644, 157258897, 548523983, 921245975, 381037536, 590522620, 638732044, 404589832, 245292619, 317092398, 442336393, 451696173, 608917625, 273937344, 155228634, 744171917, 368896844, 710323045, 19127964, 561417302, 112630192, 591000058, 295934237, 211855288, 550415625, 523708585, 288615266, 940615312, 564922165, 947632132, 789955743, 466643611, 23280546, 407972314, 382458346, 719296642, 705010024, 303797864, 49024495, 117099454, 966991442, 715688799, 364912007, 849445654, 46242070, 212571519, 17852092, 97098161, 366639947, 532780218, 836671222, 954990327, 410192345, 984184240, 232119842, 948368911, 851453197, 505855443, 138905267, 937745585, 61619128, 722981163, 380851000, 393603395, 567610653, 590979738, 195980178, 926384477, 982788821, 623972193, 433183152, 416758874, 59440471, 644095890, 826905916, 773734007, 317570183, 384107287, 269730941, 59580786, 156958716, 857326074, 674066720, 227076936, 446446917, 451530867, 60414125, 309835870, 84768491, 885465319, 107317810, 998059621, 553150046, 534414351, 314473380, 106407765, 340935174, 250396294, 272018724, 628784043, 942183150, 59484174, 158731507, 159867528, 977558259, 258661424, 284417508, 384872119, 973602246, 572048636, 683095150, 147214583, 70005093, 986039017, 374792464, 970910853, 858271677, 111162411, 182714050, 440331783, 302236798, 103806354, 275234449, 830175676, 113125319, 509594188, 640391253, 143356463, 561842589, 588875767, 496178274, 356916799, 389437263, 742656768, 967991926, 567823143, 189235863, 291227893, 661708015, 986312762, 602418279, 355058743, 111662131, 271939823, 425547858, 678012078, 502853605, 963117209, 47872358, 170283034, 707915402, 94092180, 150340294, 101809703, 587779651, 718980732, 924281151, 145345923, 649360238, 471636622, 732802533, 561443503, 255762077, 310208874, 26675667, 315316371, 692846619, 663196980, 706761706, 760239090, 462497832, 461463235, 685094083, 848688834, 453537354, 208765702, 842978652, 425802336, 419525713, 641333403, 606263425, 309188327, 932729601, 394982417, 558398467, 688930700, 323966397, 800636683, 534780685, 73609921, 25424632, 635777570, 830202001, 745951135, 521234131, 328828021, 288037277, 923115308, 229311398, 11706556, 431219124, 888795225, 451732703, 904506959, 238489949, 58625107, 14266884, 847481585, 281787457, 51506424, 188648674, 643834131, 665072711, 776981408, 598610086, 306634814, 845921377, 561067049, 227754108, 918617670, 394191717, 792935146, 853330001, 877291060, 488049098, 686646812, 756281901, 956416453, 797979234, 958384397, 799694888, 275754440, 819365265, 861760012, 544184076, 481224145, 171546998, 848755816, 509116060, 146984606, 538497366, 667920810, 687001732, 921631087, 955363037, 463225506, 848202417, 749746887, 397250619, 607839247, 916129362, 565748590, 982276772, 202645499, 354435405, 584944154, 19782531, 352893674, 493188668, 5697558, 780126303, 907728490, 979923954, 747687192, 780758173, 582210240, 545432774, 25068245, 100880723, 577050836, 765771517, 467716249, 667647737, 542208791, 235014903, 187049310, 474053278, 254599581, 148298967, 114598714, 338593013, 223523790, 481551496, 789431180, 882850529, 923440130, 430548143, 691519979, 463358910, 157964398, 414602593, 986297993, 12816364, 978511269, 891917067, 50470828, 733672589, 824992740, 486269480, 470240495, 900585518, 722239526, 996614283, 459093322, 165844410, 765235429, 391658125, 781742215, 45856623, 773874153, 804710366, 113324183, 740304899, 599843232, 701408084, 191750911, 841232048, 349001373, 468717157, 335998325, 786475315, 917700002, 470234063, 350402095, 398526196, 514664312, 37004936, 115896903, 172309654, 950396232, 981303078, 135086078, 395993337, 909604398, 936952338, 463751089, 242581460, 783840975, 497988886, 607874299, 761194661, 866472974, 986519694, 803257195, 713713148, 410193292, 308525673, 594731310, 474021236, 959853062, 962922785, 39594272, 54385165, 193317839, 599516771, 476517425, 638032124, 415177512, 427825443, 869493855, 14578512, 378560997, 636873316, 26493504, 154570418, 344791121, 112109658, 959516590, 438361717, 310686124, 581837481, 198753779, 216890896, 700611758, 922977764, 311134203, 20308982, 201656177, 771317938, 169898324, 362911544, 119840309, 789289905, 989786118, 226528978, 831574997, 764307895, 462665964, 260101334, 580749785, 948911500, 356587899, 89647430, 527828260, 626676957, 410393184, 996424829, 19267490, 946298683, 329630343, 679610121, 516974884, 197164269, 348602528, 205917177, 680038116, 22253275, 663162864, 644434597, 597149073, 938059938, 96771311, 404408092, 734917191, 762408285, 947707484, 888620072, 276040982, 176553345, 565485343, 734675295, 995110196, 158556740, 622155832, 800275645, 650062653, 262252396, 791168285, 986942902, 833469806, 118893738, 776787597, 859882149, 39757659, 58415360, 546574672, 11737664, 637661015, 190955110, 393437450, 474259696, 843672680, 81260898, 930188990, 503095958, 518370425, 719170188, 43571477, 640246812, 211166442, 945472953, 769079613, 612760126, 155411524, 35454536, 97874301, 721943741, 688427166, 642594017, 311096169, 948894694, 389550709, 110541446, 846199486, 134607612, 406085254, 574278314, 156169343, 190869291, 388855766, 497980521, 363713391, 268082469, 229370348, 782375734, 955349973, 132748708, 899543888, 619254487, 549321102, 718340635, 247933009, 772653783, 884464779, 148781054, 714133122, 192256467, 889683756, 172740959, 263308912, 964642982, 316373887, 57018463, 897392175, 209607107, 533062583, 88517822, 102213546, 418145984, 987296368, 757221485, 752009338, 897931079, 981809619, 641583511, 347262049, 878485321, 316513158, 70868431, 391170428, 54749347, 264608408, 192386638, 709065930, 502054911, 409518219, 504899727, 464679050, 974462207, 311435715, 434352913, 698221686, 587094183, 15566057, 734679500, 481451196, 6265739, 981495785, 365846878, 54577138, 759917571, 823261541, 20546776, 368931502, 199839501, 95952209, 428762441, 750209556, 48560259, 725129062, 780598800, 613395246, 901794021, 318640119, 42337317, 130324245, 284636646, 971476124, 415160554, 778950188, 666393682, 690335077, 589593341, 365255238, 904430553, 726475096, 257735697, 727336783, 402718151, 98852681, 229275990, 618377982, 128492888, 557091995, 832238376, 134612862, 832798295, 507787868, 53559650, 685541235, 695569728, 295806261, 644912833, 920351560, 201029361, 803430816, 941839950, 201126249, 517359766, 400914932, 988412115, 275094075, 462224447, 949662390, 875067186, 753937356, 275739024, 548473403, 145652518, 649287905, 837272741, 413297558, 700676613, 730699235, 210057998, 481461600, 566399941, 524940182, 856863611, 744688296, 617459822, 827431035, 763632730, 831787650, 94090438, 240680867, 453280563, 75544045, 111159857, 164638788, 916317593, 435623829, 793649563, 881600237, 398143727, 859301724, 111534455, 81050918, 154900304, 435766338, 892779665, 573285926, 108561330, 616432907, 637404458, 747105472, 118835413, 652288492, 826175611, 668183033, 26040151, 669686400, 872586840, 227881125, 648325404, 659843825, 218509900, 629548075, 260785028, 535338649, 893904532, 522821741, 877628126, 282827503, 570254615, 568303866, 919817294, 988498328, 614425557, 43459060, 623503500, 664627032, 636303328, 846601150, 197334938, 526310684, 619049058, 789060025, 686637563, 867850112, 154139784, 261720116, 35831544, 721463940, 161369224, 780775980, 697414629, 145547088, 221230954, 153687793, 469588504, 978148441, 50048980, 117019186, 274831128, 255191748, 604300245, 524045461, 880688992, 541303925, 235393700, 868264109, 750989643, 393801159, 838425660, 627770641, 765059226, 183285887, 828393977, 587358077, 407005805, 755346208, 344145447, 330245966, 653277952, 791037848, 480469963, 990525261, 165129978, 129342904, 435802014, 908584743, 31229286, 33333853, 659522029, 948967107, 926033323, 356766237, 681467201, 672673775, 194542944, 9624188, 554499206, 683909176, 658915424, 330252267, 672478137, 945779009, 993872159, 721577635, 676148650, 552185018, 918372895, 140628262, 727753714, 46780573, 663134934, 601998410, 741297441, 79385187, 257136217, 247488653, 14425974, 986149050, 932169123, 976451676, 215650991, 280702372, 778357313, 973218874, 70145232, 591122301, 106638860, 82259984, 630943819, 308341727, 658687739, 67419299, 340396609, 326371351, 894640391, 904804662, 944888383, 407138456, 224174219, 782447273, 975533514, 808076619, 333414274, 621647827, 960023131, 806741528, 198514958, 482309024, 831122759, 779010018, 214320713, 502431488, 393805221, 862240704, 802495452, 231605508, 652450847, 69475894, 66104521, 374395856, 378890881, 592964851, 148855116, 214377296, 93311165, 710487487, 958673078, 164315687, 873975138, 162089425, 466077831, 894907222, 244817896, 453436180, 785586484, 808555297, 368831538, 46404247, 966605528, 198230080, 87039385, 919810160, 199566146, 583003047, 505762735, 940318827, 387384971, 531240650, 163464159, 673613533, 206305521, 116821597, 425084142, 636437447, 325260380, 92478291, 466428575, 331684460, 511303054, 83371744, 945411808, 451863638, 998399487, 549042416, 195588184, 41048384, 324678709, 218925207, 578132615, 474512881, 888131715, 609629634, 315967544, 524785860, 405721454, 361433872, 453017770, 892259124, 567026430, 713985013, 819121313, 422010737, 765491505, 504281676, 702381649, 283027779, 577050682, 372692946, 185180195, 517515333, 130614056, 225476154, 544197050, 700962027, 387277058, 382713705, 897324537, 503164822, 444887701, 182420609, 873744283, 142151601, 284062282, 961518134, 316391925, 664035305, 611570173, 24232991, 471119, 323356678, 43330530, 13872733, 604098192, 588688422, 477815164, 28066396, 551944250, 460373571, 96655403, 519957638, 815269331, 416066431, 430559538, 315149778, 548579026, 144990926, 469697664, 276807062, 830591963, 951764295, 181848880, 936068345, 572837639, 922297302, 609309316, 330946439, 508778308, 138257464, 421918210, 465536165, 371395717, 879111175, 570454301, 830387367, 926260287, 24090362, 960884016, 260751119, 996609075, 111744778, 128011844, 523180531, 192744573, 804516130, 647879744, 223890485, 359009507, 567955455, 574421554, 518996687, 326162726, 871568286, 418548285, 112048199, 890909087, 311404778, 568729494, 421224695, 350162901, 530242863, 747467203, 381611934, 211446083, 883811171, 341527122, 412057865, 811642307, 185679076, 693170600, 788624238, 324099109, 714729921, 31356006, 72118479, 491162410, 901593054, 803110250, 729605150, 855521063, 268775178, 419314366, 753323676, 310695325, 14882242, 584744584, 760135015, 46726244, 913262988, 892162333, 215206709, 809773945, 250669583, 777730266, 19450704, 702498879, 964618982, 267313963, 609535043, 558209734, 495170008, 68248695, 177889478, 146557513, 247721302, 701384298, 961420809, 734219767, 207894810, 293042802, 293754022, 161043132, 33836350, 112703232, 308818022, 917612884, 904664444, 764605481, 721832183, 343251085, 535612219, 879224758, 691905948, 773951553, 133690810, 593984604, 683971398, 689706459, 811968322, 418017082, 912737146, 205916616, 620772420, 973120125, 165572580, 874491045, 377610832, 987486511, 137290989, 390283999, 826562467, 502995563, 783002407, 570344785, 943064667, 970189318, 846452798, 910267561, 606471603, 680750341, 13209701, 468553463, 278295269, 586389010, 215888907, 515018790, 290759640, 393043623, 904615213, 399187537, 483720295, 155353426, 480587699, 251176122, 878655491, 945782190, 196430423, 997750136, 737070689, 654911200, 900154099, 653028623, 519477937, 744073449, 48870015, 200239316, 862792603, 852827755, 764608931, 631529838, 68492396, 820545240, 15322234, 923996892, 710514931, 454075106, 307582112, 5596337, 213142075, 783881400, 503204458, 863642973, 622375992, 778393993, 967651055, 472266469, 12492125, 895669047, 576735023, 822130813, 135054580, 986196429, 167304411, 572081855, 312889093, 133434946, 484136785, 27619672, 824559119, 569931161, 364774245, 144501670, 462692314, 852202576, 879708780, 178015665, 165811852, 257595208, 384360173, 583044569, 328069145, 127484629, 36017441, 166951728, 201443580, 374458905, 214316611, 837862950, 330948504, 928369647, 639204931, 960058276, 292730470, 345248316, 650427571, 163294601, 641836373, 743064912, 794775263, 324321877, 293118790, 485852066, 647219404, 290640014, 339336921, 128921383, 172558961, 251488718, 26134814, 518135827, 817519804, 965718961, 998183557, 14356515, 309847210, 800796571, 698024049, 433423728, 624395971, 706256749, 216670216, 531234307, 906399856, 499959003, 327123064, 605677605, 365936149, 23417693, 799846383, 269136168, 281086763, 978885725, 545643835, 744612804, 461852542, 270463078, 646302576, 522422656, 154464799, 767445782, 792690212, 68531666, 727570090, 72525894, 996396683, 531010544, 42382280, 748769835, 624205808, 917361334, 236588044, 683084372, 889299825, 739741424, 386436941, 161695028, 337328517, 732263393, 555123611, 13607752, 721847151, 688945925, 216078132, 787473780, 216773720, 389278179, 210405803, 115155670, 575011183, 142497196, 934190229, 873078055, 893489232, 841062861, 372625759, 524356234, 705734718, 456517066, 113604423, 682896572, 382894982, 292023447, 150781316, 653322739, 377341932, 736185517, 593162607, 982179695, 18344146, 215489687, 720125294, 292238403, 637434014, 826539540, 34389162, 867023883, 340526526, 182197168, 652306162, 754353476, 783716047, 706451325, 565701736, 918716329, 55128814, 606803527, 281611323, 699214000, 544949215, 398639786, 268919645, 146984344, 985558486, 651820584, 40965084, 211572085, 405641597, 886035512, 379642306, 987968472, 571318584, 388854058, 679511123, 178404902, 619666669, 37325691, 126439140, 718961704, 105767623, 132055858, 451792081, 839424105, 922053245, 337398532, 337602664, 821637002, 590990074, 439307823, 274112008, 822812816, 537355043, 853428308, 212266193, 677332430, 715807269, 543367766, 753088099, 626618211, 88080978, 274815962, 728566522, 452748624, 814108626, 572062352, 387846671, 587890075, 21902248, 324882097, 385259863, 642963956, 115903935, 811531629, 791276173, 491769116, 86655851, 978170677, 727392696, 976548235, 233236675, 470161347, 756371738, 964215940, 289517144, 903187947, 132052521, 926446996, 471022374, 524184036, 939485998, 19313477, 272591455, 152879235, 284778297, 155648411, 926752440, 937497612, 598055938, 436823197, 140856734, 826702154, 695789314, 211755308, 772041401, 815275856, 898885101, 939092236, 332085738, 414887140, 165913449, 90159444, 387258040, 362208994, 593838498, 496214776, 285234523, 456871368, 573753097, 332272601, 80952038, 188700799, 814309681, 315361587, 631246765, 906865090, 69234278, 56872263, 786848192, 180121065, 353959013, 76342305, 482159028, 516729698, 768235688, 644318208, 528299940, 381880859, 979832443, 204472572, 573131302, 527913439, 847382839, 228761510, 904580691, 109070876, 248715477, 490821722, 247750636, 692003504, 955294532, 733363377, 906421302, 38216708, 498213846, 99737571, 659819621, 971345624, 196392115, 399381532, 405223146, 570308177, 109505366, 157974544, 143941350, 975962499, 733358050, 36353563, 806084118, 902134268, 71425854, 693379929, 757086353, 190549254, 370389201, 107304604, 330192799, 638892369, 409005196, 744363224, 144260281, 258534409, 390744484, 424573251, 671394479, 376480140, 92042280, 299414306, 996034076, 802706701, 42715847, 215367075, 152272317, 976000108, 821481350, 185817634, 749930474, 270696197, 893600017, 702639588, 189856356, 474844682, 32178996, 174950456, 388112219, 97745755, 237879854, 591557837, 540827254, 957274883, 469264349, 886899378, 74115552, 598446033, 109167706, 281288734, 910191665, 415021408, 474028449, 826192411, 509799476, 573127606, 629050467, 434243062, 948834658, 260496179, 93422098, 124933035, 380999408, 814003347, 369674530, 379570541, 70533413, 622860057, 91399722, 708878091, 63259494, 306118696, 626124869, 903483281, 243370302, 994326739, 251195719, 716840980, 616400017, 560936446, 711091045, 569272026, 169433628, 422681260, 263619108, 630679479, 129059004, 697412708, 527092326, 852194680, 391348102, 245425768, 471988384, 395853239, 109281366, 334785503, 521080953, 479227667, 962776910, 996886447, 421385359, 284619225, 592796161, 745179158, 682783888, 794444690, 405677095, 339542147, 519373187, 251376371, 784433220, 295839397, 204806433, 326771075, 464110799, 422944048, 283239975, 133916479, 705063525, 512000782, 801158220, 816118285, 176581266, 122711343, 18130617, 287891526, 217359446, 283972099, 389752158, 117874017, 539329450, 778361467, 869321699, 146584112, 546542016, 305073073, 414187408, 302664058, 441836153, 536586834, 132806967, 820063234, 309521382, 245241901, 233962008, 349444664, 926858280, 674414320, 104286806, 899291098, 404954414, 19417076, 558968023, 168396078, 388843788, 725817073, 914761260, 473797995, 259439033, 710617135, 7084936, 178227413, 738188531, 238820096, 663307924, 925433927, 917312186, 39255082, 538164176, 746778665, 14316368, 534052356, 397086481, 888821955, 425303363, 901384613, 607028982, 645968304, 402958865, 80572801, 599903073, 841514658, 136866129, 594463733, 85075122, 416863014, 772599426, 62923435, 906002409, 201984976, 864338241, 454813084, 329492663, 951638941, 673229563, 153318228, 174861084, 298896244, 960886050, 639735168, 191284060, 491443708, 622333898, 850398306, 671712832, 856908547, 445179879, 991510500, 248066076, 698256833, 62659631, 636809808, 764247046, 938491880, 367135949, 940835581, 23487449, 600406769, 989542858, 438930091, 564234871, 138769209, 303013160, 150244534, 624820812, 425468411, 332440299, 771320989, 167777080, 670434366, 249064387, 950732628, 23839470, 12997652, 613734055, 750054601, 433425470, 987390811, 436147491, 391261859, 557911767, 414728463, 307268554, 546634716, 284628887, 515118129, 953847703, 752229596, 246319253, 906938658, 745135572, 936312292, 628634676, 665921289, 470508413, 364075993, 601399541, 570681563, 155779289, 253912219, 474162457, 149885586, 720679008, 232892856, 414481343, 423534185, 543753500, 426480489, 35246575, 809666912, 618672381, 798450695, 709187178, 615508162, 451099096, 659377516, 79248, 357633383, 505025016, 349900850, 15050757, 632610527, 488339714, 942263030, 884711838, 518116521, 116397517, 741026266, 416080162, 635917488, 555425648, 939975010, 567525376, 135872304, 995228884, 311730060, 660459726, 631117779, 720635282, 735076865, 628303013, 57821815, 281044590, 257062522, 328138316, 406968033, 177955781, 620646295, 411472475, 454647271, 61035658, 5764322, 506736101, 14921371, 738388271, 259702369, 771727834, 357032607, 296974274, 63556331, 276675891, 754891663, 36048852, 315827234, 49993405, 83894124, 208523947, 364516740, 793602084, 842626151, 7598586, 487329444, 32320528, 645361525, 588540401, 666522557, 307519701, 843041595, 310550237, 491741720, 693358882, 516294829, 961665733, 660674910, 730413262, 712822257, 623310143, 43927952, 94109738, 302714480, 642367456, 193460661, 846245654, 405174208, 233328175, 311344327, 966694206, 249784046, 48449034, 650156331, 715554637, 216784608, 539419156, 783107307, 797295186, 739932289, 581497356, 764422806, 140736626, 78161229, 772617845, 506100042, 993938987, 16367065, 69882797, 771747432, 243833454, 288170026, 355857926, 176656157, 330647978, 40613111, 268623801, 61783000, 35623974, 928971418, 492220319, 476730235, 306825090, 144436171, 125553758, 24846881, 798006269, 570582373, 305161973, 493571515, 6815311, 919835645, 392154460, 83127345, 452154469, 118326288, 355036093, 778480914, 712439676, 666022133, 574258207, 934261615, 654581884, 996685295, 439938167, 972137886, 261311048, 856880013, 136375422, 18564928, 707079416, 408607465, 245511502, 414777908, 63803665, 526836738, 768912071, 151544407, 453757663, 970690088, 164449918, 567006218, 467935317, 777290758, 989656919, 6859546, 870105898, 702894545, 911528517, 653012009, 428165313, 468895676, 339637487, 21174704, 451752439, 453213689, 607018573, 541340975, 635875033, 104248001, 88385613, 409142001, 819232821, 219602573, 70109749, 164259132, 164713803, 980755094, 909672094, 957519393, 726931126, 229171174, 90708937, 903123305, 757187051, 919868359, 43279400, 720906524, 744637698, 818656578, 859315224, 633687375, 109228342, 105700069, 516322475, 840278932, 106272498, 384202827, 499634737, 193903156, 264682628, 829500713, 704120328, 889534734, 31633744, 147001, 3613636, 757555952, 125610124, 446253588, 405591068, 877984385, 376389163, 356828715, 790843312, 98335705, 919276204, 316050088, 422947613, 25635871, 984962279, 873022511, 668642329, 141453264, 6427320, 130475015, 98895971, 473660619, 405686161, 308262218, 173580532, 183121236, 678389237, 104858247, 583346471, 235860839, 686554092, 996439834, 525513925, 125120308, 745034697, 766095867, 770111731, 612706082, 120912206, 794654493, 490777884, 189782375, 66897223, 753365462, 198873575, 441018870, 387534247, 74261217, 614464818, 216973462, 478892645, 994393053, 944660058, 869496825, 825839658, 756357267, 548636811, 683490031, 436104422, 532800641, 298776979, 124837160, 623671420, 43929620, 844267273, 731416451, 359240453, 46117276, 724272180, 430765440, 214085573, 944825456, 383739673, 28821023, 810412219, 244137103, 574316374, 350128243, 29819005, 1247382, 480100773, 585116290, 346525623, 827013555, 360392949, 519512743, 330887732, 810898473, 523572150, 547928, 588582976, 888924043, 764065696, 267181970, 526153729, 742645527, 634671306, 57484132, 309239056, 643410636, 968755390, 373800891, 139760158, 639211474, 134568256, 609020178, 53806559, 489921080, 385717334, 11888830, 571233149, 34421204, 650092640, 188959285, 769618321, 990504664, 239825576, 537407436, 386564863, 676356745, 382202690, 912242078, 917535431, 106130333, 98931852, 269267361, 908076481, 820230442, 974041080, 73765229, 290268938, 160685959, 829762445, 239779924, 179218227, 421902006, 967773668, 672588862, 651168274, 221282374, 191845020, 74463284, 364847720, 11165345, 488895678, 403061986, 114570990, 164172591, 279512070, 951120940, 45030147, 147891004, 772106675, 104435975, 925698914, 89316600, 463003002, 201123470, 327497383, 871382888, 416327261, 116346868, 775086676, 748588738, 739153286, 717994008, 382064649, 598363976, 953798233, 927577353, 428482038, 64025497, 509169964, 60992949, 741366738, 11378006, 214844771, 957866360, 892435834, 742909330, 615970603, 852261118, 617821276, 886888993, 471216066, 405929988, 336322714, 329922405, 800469233, 761235371, 833049314, 115262210, 123644589, 915395421, 541643682, 605207285, 298101848, 440957879, 396586454, 402887104, 627031051, 388332881, 423286131, 259449613, 990409043, 75115104, 483868661, 655781090, 270078343, 451589071, 462549279, 340138595, 453779779, 824944115, 596890183, 243096088, 317857852, 466258276, 16282839, 277496751, 695283119, 589664125, 311711332, 101906354, 890193861, 163383380, 512793151, 643426797, 990668911, 604057265, 629125267, 8580700, 704620611, 696964885, 94180246, 425668004, 138920216, 852094782, 293374185, 378586328, 127469487, 831811545, 169217472, 735544343, 532482335, 498764771, 276211799, 213007705, 496968977, 689818517, 778803907, 178431274, 738295583, 464340094, 718663323, 422492698, 389310969, 918929642, 722009647, 59182085, 418017568, 109340327, 856841760, 850587639, 949571415, 244300495, 245178093, 38289473, 228262803, 937240885, 473098785, 96071831, 376858066, 821559427, 869634256, 553242521, 519814707, 824502550, 721067062, 632446168, 558268745, 521512122, 83398317, 728405015, 608589457, 365577397, 224671332, 413765572, 784452033, 410078097, 841983806, 921970714, 42491125, 962122806, 537711565, 906419655, 269097230, 229317919, 11538729, 439973640, 401921723, 108711208, 371142119, 2950040, 872711588, 881211198, 166168321, 596705875, 108403477, 777876158, 537922528, 185724930, 169930979, 899204935, 210558880, 853695579, 422274098, 19502218, 626764987, 283031632, 402480908, 5945353, 697148970, 626382453, 995860583, 253422437, 693646497, 56924554, 155815891, 648153744, 432522145, 285778297, 996243823, 468033302, 956871303, 505626543, 683894106, 659210468, 112182275, 199112104, 541724077, 394915390, 414590931, 723611053, 499746697, 87014069, 824516968, 422188341, 607680381, 718257322, 576880232, 893027349, 845147616, 802854849, 342293678, 216211899, 287224389, 551498934, 694379854, 422363200, 827900652, 277045077, 388433168, 588472285, 35412051, 244942820, 232908024, 64584580, 521934630, 161884804, 165636607, 935511943, 263523285, 954899866, 438024795, 258145217, 561217657, 9828643, 917964613, 370395035, 92799513, 327589282, 224763719, 765420940, 847323269, 631741480, 665925631, 676787554, 47756535, 121492640, 733499604, 837360405, 335908410, 425127499, 235223767, 307068766, 732269678, 241983531, 37409213, 636886401, 84868446, 491977033, 747353147, 851030172, 31197388, 794614089, 200340826, 170217959, 419491768, 317276899, 435292911, 866479811, 966005642, 724790804, 797426833, 173486727, 864520498, 83963930, 111936333, 822162998, 868082553, 137684647, 236953631, 422300877, 910184632, 830066395, 484330084, 17019027, 729135048, 367810545, 554732222, 847936155, 181545846, 723940824, 298734643, 652615663, 857262625, 179926747, 875295157, 626431222, 787753340, 198403317, 262603508, 175412269, 670974983, 802843748, 688775850, 986184252, 278469555, 215126598, 820879922, 631985141, 96726712, 648145206, 387856461, 992672997, 210522201, 483157765, 854507005, 244423782, 801257671, 131532142, 363275089, 671413346, 830937328, 298261486, 87076064, 436117649, 129154018, 988028285, 343877808, 212101321, 547147503, 677728016, 319132211, 963561280, 429239018, 303935822, 696479051, 677736921, 842066161, 885567238, 412058871, 457880824, 582588751, 35933892, 949681221, 236945432, 943828250, 232444214, 547308253, 413934646, 216911206, 558075217, 543134619, 87028197, 539327735, 27338235, 449216211, 682824069, 854522260, 717380673, 280847898, 177888575, 114874327, 277421803, 643594566, 798751711, 963834246, 326979114, 603670382, 531378152, 981683582, 204984763, 13970901, 628811380, 164796945, 54554069, 65073262, 136520837, 428052725, 511459814, 356136618, 745053213, 709173298, 264039741, 510766781, 606215677, 520533550, 76743238, 166579966, 487725766, 928552155, 87529586, 311859760, 558917895, 230711254, 36550719, 640999896, 285558569, 840326500, 517270150, 396066180, 322465547, 252905598, 355849815, 851702703, 50976361, 564838014, 942207272, 160875813, 998703101, 281997827, 577577387, 503148725, 657508089, 385454933, 208364306, 60373569, 444345040, 376801009, 585018797, 838499672, 946754821, 848061731, 862272402, 970976423, 805890237, 432892233, 398899534, 907524212, 605172923, 696937463, 41788588, 569359768, 215127958, 533737466, 41540744, 622828173, 787255368, 265126446, 627450741, 384706228, 701598137, 329574379, 329151069, 576457410, 640527768, 830515456, 171092532, 756695825, 329828566, 23330086, 96741552, 782215636, 843716037, 32641110, 479858768, 877488614, 48150069, 955749282, 883124289, 55233878, 432452327, 759484333, 273701839, 543734510, 233350965, 542549000, 424923966, 243176247, 826369938, 800792698, 618942576, 591465454, 112536449, 38557628, 285545314, 613043048, 768248588, 519903289, 714149440, 901390312, 143990411, 549738230, 571012180, 728537998, 818121334, 778021790, 929293067, 325497046, 183071648, 774868843, 806024324, 380139097, 662982241, 925559900, 93887167, 497506449, 928301316, 324935544, 934475728, 635717243, 267358801, 772916716, 912099582, 626664081, 293514463, 142394504, 239955020, 73876330, 268318244, 742536399, 343627203, 625562045, 520136605, 675500647, 699014133, 614554433, 543247733, 368257502, 40773663, 765466051, 143238693, 327947127, 895933866, 433567756, 502503525, 985065836, 717506007, 337084464, 36076345, 573552261, 511498855, 415192237, 629748233, 652988202, 457527023, 112122047, 611780034, 295921976, 464607458, 281460681, 647364220, 734589224, 571238698, 684208564, 483563203, 851730560, 353364490, 940497658, 438942336, 365068187, 454406352, 882350856, 256389563, 889043471, 31779796, 317591692, 320385083, 533420612, 890180282, 828776415, 386337541, 574170123, 52547847, 605282184, 764525176, 3630144, 362136598, 99521170, 424968696, 355891747, 986314010, 776123362, 304024196, 889476703, 692710673, 247263792, 142774345, 931230718, 794778245, 639066407, 536981755, 958692076, 881313105, 926996960, 957054294, 269856518, 53577170, 92173210, 831791542, 367249742, 702317587, 8792379, 678240730, 778915393, 250862351, 67397385, 52065119, 575918572, 31505292, 686498791, 431053355, 159746074, 54402796, 377498506, 468756710, 941291373, 433173284, 875882057, 641197579, 16532868, 782732012, 420584626, 517509015, 364255107, 814471347, 316816485, 342953836, 304759290, 443566531, 934134786, 607674469, 548805002, 706162376, 278975853, 505940218, 19264182, 188620742, 348041282, 110451455, 579488211, 634652404, 441609621, 477117410, 12736796, 332897245, 116186313, 296480505, 134649064, 279167017, 922271527, 297871875, 237941574, 724770081, 535896969, 610040044, 785294497, 907978587, 883662490, 379714479, 41334267, 371326988, 282806880, 472850964, 234929073, 817761359, 505554347, 295630288, 519742665, 54418313, 482735909, 955744555, 385903085, 460772580, 440968937, 476077716, 115016417, 618260042, 203229340, 435901032, 713286623, 352334210, 626303116, 418038318, 983942275, 695435805, 167124811, 578776395, 540625019, 494524924, 720313280, 533887797, 105677935, 182362905, 100623744, 550053421, 427605100, 740269460, 437096232, 704560404, 775642308, 463038713, 666291618, 296070278, 1998823, 205330442, 912393155, 700574385, 485830848, 754983092, 382363159, 758090400, 594782906, 2400, 734396168, 106561398, 81735870, 707322883, 240481096, 704943783, 967209806, 871379207, 508763415, 68087488, 349422153, 98643097, 862538376, 312168966, 256791805, 963837355, 17037396, 171459683, 783635248, 855373252, 638965653, 946091300, 313973786, 637338870, 177405772, 852821754, 907254182, 586412178, 987141284, 67768549, 601906070, 62930873, 138454949, 838538302, 926639582, 173446360, 740972611, 907287040, 381423274, 339668858, 647764921, 306100972, 780132831, 108093818, 981761565, 478074047, 360519309, 361416114, 722219204, 374997416, 79665698, 587717734, 732391191, 245615818, 668018755, 514524258, 739690989, 342931827, 452144628, 159927635, 75728531, 299973023, 851968370, 942808525, 868441139, 112658005, 696722083, 723118459, 536276052, 62709575, 188126390, 762321328, 689670336, 510313914, 337906022, 993886920, 715281316, 485744830, 434674406, 373091905, 576771310, 549561633, 718888695, 333632198, 354860968, 313483883, 51039555, 936591776, 221358034, 581074656, 560475355, 78464943, 605233853, 952973879, 590349733, 304797067, 635244884, 714614303, 819591991, 634900773, 730314240, 570864691, 156049065, 787614114, 985513191, 490065807, 570231908, 170712750, 960987805, 874947941, 325346436, 96013401, 838393705, 734030921, 873466204, 368089626, 725146983, 770851292, 892496805, 311531581, 772137092, 408205350, 516525615, 682071490, 476207080, 373611228, 56873579, 590740289, 305557645, 38096685, 894523011, 366354894, 955532963, 746302482, 162421028, 184679217, 905635963, 435298253, 353972262, 768130079, 828354015, 182309654, 781760719, 815887529, 503732439, 301084181, 856580199, 818546494, 48288079, 869117463, 899540368, 698183377, 159564613, 981837679, 249425151, 352870487, 259413306, 932504656, 321200320, 895206842, 344759681, 747668406, 840099286, 874748104, 24845897, 453452469, 452878396, 611262290, 377155372, 763821111, 893602406, 74505220, 536280576, 910208373, 831102525, 753808264, 490264059, 692415496, 297973104, 600542591, 737519575, 499459297, 845928912, 290571871, 364950389, 999258546, 678958160, 213874001, 536475497, 516337662, 916622187, 193611046, 536555861, 189567238, 356137830, 477801936, 325730482, 831732431, 504124819, 434469606, 819270302, 82792672, 986095289, 31179231, 719708638, 639259941, 484743372, 782550562, 257846996, 620010177, 963544743, 958178199, 854131531, 740300523, 680639410, 202587736, 857331742, 250502354, 666693604, 962581248, 365808962, 470250354, 295209374, 58172439, 83080368, 87419188, 918757592, 379702314, 521079865, 560419727, 123571638, 691791570, 544517212, 335545328, 984805079, 860619459, 511915035, 343745683, 106901876, 28235080, 77736456, 38549619, 794615865, 630279760, 941977268, 399156559, 852340710, 663082038, 282274562, 897522009, 996408528, 486744544, 782421529, 452337056, 376100059, 957296259, 254593990, 561507941, 929396192, 332493579, 37259616, 301834014, 912928942, 938017399, 730241559, 548385029, 159110245, 365303197, 368919374, 110640567, 945154918, 470756698, 264331902, 62402622, 602911464, 426094172, 74517531, 429858243, 106009494, 417719734, 396864756, 750133641, 227392752, 809615351, 139964303, 573553087, 254639332, 479442429, 191814594, 496786601, 51342363, 822727429, 541218951, 258812113, 79128776, 553349917, 289590040, 12134915, 892068134, 482705207, 713597568, 446098888, 813159363, 593610974, 654822188, 675278887, 922213531, 194279345, 346941059, 431269477, 356706824, 708378429, 755758254, 257024443, 182566019, 223768824, 505073625, 98347382, 231339780, 451355588, 448905354, 294487207, 685618238, 66879130, 642466043, 133029468, 138574402, 736404368, 91659212, 609082023, 166987445, 751396219, 83747562, 726893953, 163299920, 664279075, 188564449, 220117644, 660684605, 705970855, 880317924, 570615653, 203953362, 196697011, 414028396, 108835889, 463285401, 158642406, 594380349, 408097794, 445940066, 266604838, 310508879, 414164911, 182505603, 879790776, 592490523, 280762853, 25307171, 11001480, 996061048, 135432241, 504743734, 510070432, 11143284, 163069966, 749287096, 901333153, 406267644, 791040263, 188065359, 325571828, 18088581, 868045035, 994298635, 317565969, 438082862, 722820370, 848977568, 351045004, 370248629, 953284317, 485590176, 692303493, 427588136, 744784234, 332666262, 278260618, 632515269, 72076721, 496421078, 485353494, 421662942, 211776754, 264712080, 907155112, 302746221, 853449186, 858566292, 821429113, 803608354, 660820423, 516803806, 276442489, 640468839, 459601393, 856696110, 455554035, 33119006, 726284324, 168213512, 519652230, 534850227, 389335441, 446608162, 391490323, 159317945, 60782794, 438039220, 553854984, 883591721, 656135897, 609483306, 935026941, 86746090, 678015254, 668805524, 621182102, 473012268, 502347463, 836320461, 936593136, 318404369, 840436426, 949592876, 908677687, 789645841, 933504882, 891668291, 914257896, 419836839, 403660560, 908515367, 677807119, 300044940, 45674675, 481004223, 740093695, 724850796, 419551386, 988369414, 769274579, 783666462, 467738968, 661464707, 861228843, 225945057, 549723815, 554144721, 700234174, 906587244, 19555392, 4091284, 808843070, 625192648, 405980304, 645708980, 950300865, 274658847, 277242785, 549330566, 823055685, 168126397, 546277034, 820591112, 745350055, 800765793, 994411156, 854382110, 969141348, 522805235, 661862664, 762305574, 100096985, 780429579, 106787438, 75672397, 4922656, 488533499, 669074579, 950669063, 97474279, 962985696, 216554541, 240482684, 628178300, 16384888, 153916785, 832409450, 645773689, 949552734, 410243892, 505114248, 200527771, 550352760, 358786881, 445830793, 624316549, 4102484, 177647438, 300361074, 231497652, 518791284, 1059777, 100401186, 680627689, 955715215, 106285706, 486510259, 12313282, 771336194, 665410402, 742755876, 525346292, 503311794, 145915120, 773639198, 27327732, 377623055, 238688707, 942579326, 732694492, 106720504, 430681223, 288291772, 901024778, 123175420, 535053947, 559726198, 206414933, 194668042, 772137016, 410732194, 826821450, 685843970, 114942212, 69962990, 205674373, 235231960, 139388791, 117352135, 168335781, 934452054, 865934194, 456527126, 713588198, 375433765, 364461240, 606610583, 335367086, 548848776, 807061050, 10302700, 354144889, 973684715, 689319525, 492181507, 86966933, 172130427, 810943293, 877210100, 650397778, 672622227, 707854024, 289912198, 603793423, 287458890, 619210569, 634345013, 367856269, 647554481, 652329613, 622666810, 488939986, 460433625, 195298772, 686055182, 511699556, 208560208, 904188770, 799727412, 651031902, 899880252, 697676842, 199027563, 21930259, 468751952, 677066768, 565335049, 460238949, 556648478, 960763130, 261595819, 9408120, 863726557, 941007143, 700330008, 131098054, 186697235, 270771256, 157596131, 654051695, 543068508, 181661699, 212999220, 14167148, 439423841, 529578556, 166839019, 132690019, 869644190, 722597467, 324897074, 394028197, 891210048, 919749542, 518973184, 130020002, 676971481, 22146411, 957946270, 646028030, 335596710, 124204454, 589489945, 802576696, 737659112, 527099713, 967613708, 780060223, 20063471, 217684253, 83263071, 892651926, 251517939, 383097403, 234624532, 519703983, 541773256, 263889627, 159202964, 527379814, 845407348, 986407067, 398085103, 302941472, 272857088, 735753314, 676345405, 801040575, 435957093, 322264901, 905310981, 651225061, 698025496, 687086033, 105946191, 807727501, 195579478, 461091366, 841003811, 849463882, 721746446, 824935868, 737137468, 67138342, 910670851, 211617308, 630312644, 892671426, 18464686, 524501938, 493290030, 256712016, 38388004, 337552356, 16135259, 610559453, 174538124, 351494227, 447340423, 370419722, 678644862, 614839286, 694690771, 787841178, 830795979, 78747111, 628145648, 366446835, 924023464, 281506365, 739008953, 947583061, 425974538, 158340465, 562979652, 398444334, 975572169, 442027230, 744951339, 783495652, 853018042, 96866257, 391809454, 411839547, 444665939, 733183907, 301338715, 5029412, 334266496, 785746950, 312127081, 93398445, 316789837, 496591133, 9086123, 150259716, 832818610, 391842061, 851504145, 601825447, 581542987, 736787591, 395938862, 588774663, 108995832, 897943190, 266501624, 936822326, 566287709, 196108121, 426700437, 379147563, 507378396, 104889000, 12551617, 389744695, 636360398, 70045406, 548142234, 359005953, 890152810, 262989352, 265022744, 274319387, 234496278, 943658006, 2587636, 679243412, 657940092, 486116036, 922557628, 833799770, 286914012, 896881636, 753909027, 2254299, 244480533, 993412922, 59196745, 190630391, 340634992, 913204583, 890480690, 388242314, 164689025, 468002245, 420851326, 466579486, 271029505, 494940426, 716449541, 548402829, 117632462, 985902010, 965613430, 518228321, 167535795, 151054354, 868707389, 46511877, 324993432, 786665482, 604039934, 714266563, 934808399, 408644269, 351233519, 642344362, 136642676, 677525207, 569720540, 553168968, 500186347, 79021263, 710470592, 327179434, 457938337, 513883621, 399299355, 111337486, 308537759, 443479964, 474689095, 463536323, 742862710, 88251128, 323884749, 474309049, 454529429, 931492544, 271528801, 814603601, 244937907, 19966316, 203838551, 233959837, 864241217, 370632105, 120683822, 297071752, 773269445, 932339420, 760709552, 387091632, 336727735, 363172498, 198312630, 492980219, 66825899, 131117604, 588619912, 164665876, 128657716, 336161256, 4099010, 599260226, 111805634, 843940110, 882420536, 684513140, 458788778, 621791869, 317476546, 601123373, 361414164, 510551376, 796075541, 62962582, 270077516, 674878218, 597759612, 312095666, 1798450, 890564183, 676590467, 343898546, 183824824, 922215761, 98785592, 907039888, 125082584, 72796322, 106213319, 73115388, 604249635, 680621824, 508283677, 131616563, 249837753, 292671378, 448527865, 323992237, 109180664, 709686516, 603300943, 574437254, 182938907, 919180455, 234397702, 421744475, 928683912, 419340127, 603003913, 502431677, 837814895, 308815549, 291117792, 817771292, 240007556, 287161097, 322527208, 200056716, 696263764, 376095653, 640335140, 397850999, 198263966, 674886770, 176181272, 711318925, 842375981, 954327838, 831482095, 887230910, 669939979, 108042495, 291625032, 405051284, 527388577, 265332754, 748901666, 159586651, 853169860, 926083764, 32661925, 421172194, 692606544, 530126998, 63530847, 706320908, 798220839, 217520675, 115410594, 822714819, 625583370, 216648311, 36204645, 234736451, 394172261, 785887908, 524533068, 141261069, 792323480, 4810741, 5260454, 610353862, 284881864, 100790927, 187966162, 918356240, 737457825, 372059118, 355681836, 620876731, 485513108, 759626188, 346561701, 196179597, 459687547, 804192470, 700283288, 386896427, 852493382, 971247760, 93712327, 326371914, 181943962, 848151987, 735631029, 292883450, 465610209, 962816203, 148871769, 819490217, 223719093, 571620827, 468787516, 987794372, 152932960, 910401675, 2128721, 654511336, 6590456, 520449156, 522170508, 147351440, 800440838, 675153284, 838179460, 814662818, 201593052, 577928685, 958191817, 698708245, 251171124, 46587663, 557682161, 883162189, 235765990, 962930541, 651855759, 458034939, 901315154, 265378920, 169166438, 906390384, 104492235, 889438008, 622798221, 573298519, 15931116, 608200480, 41332652, 257668058, 742231946, 733318468, 588153740, 359536256, 657575116, 696263877, 868131117, 347954756, 934434339, 430863112, 777779281, 195028280, 270709338, 319783769, 414820149, 984200675, 815483880, 212063502, 516051807, 965279460, 796256100, 238031420, 168864638, 873243556, 780757481, 760614889, 852727598, 276995100, 298826244, 582882016, 929243153, 496579164, 323453621, 983512777, 240151539, 919042994, 955402911, 745873226, 476810409, 460692629, 678589281, 561259236, 409331699, 753418370, 7027069, 2521447, 663746358, 556304074, 186052160, 535411158, 888243793, 4796231, 697108387, 909806718, 404583696, 152640611, 295941568, 272558634, 383732769, 615432369, 768445776, 569529696, 775678423, 969910309, 762084380, 149737190, 904215290, 35631600, 883559439, 973951692, 473914567, 325335913, 522398499, 49990956, 86052225, 579173450, 756822646, 346991125, 105166241, 366408821, 7977517, 94441721, 598430316, 892187303, 952942551, 758306675, 77870063, 68531674, 39402636, 154589070, 987808262, 34652284, 832132374, 265687873, 203461439, 5859146, 135877875, 58631580, 607983736, 971018014, 395659302, 138667846, 589384747, 87898452, 175397189, 398195647, 953111305, 114206554, 435771449, 468690304, 151763901, 153616649, 905014534, 324793865, 362425786, 445613971, 70410014, 533298662, 943109753, 99138205, 969078676, 613807945, 277557133, 346881415, 574211405, 812665031, 922992149, 906115989, 323216288, 193753664, 21384932, 849289388, 699755921, 735532201, 388896843, 605613584, 312308535, 270343312, 276794372, 687643035, 282534390, 387204739, 610883960, 80478173, 952747027, 899712031, 779890597, 940416079, 212535364, 465993297, 903680919, 576559490, 638147975, 790504349, 282452462, 219330066, 921103998, 436618144, 114296442, 456956811, 939406174, 754842594, 199237860, 910179265, 139744129, 781058913, 242418094, 417040249, 85508845, 297222575, 297437000, 497358029, 902245823, 397571381, 249949442, 86576388, 319900308, 774288723, 215536319, 649942813, 147284848, 141973128, 70347551, 184610680, 879107166, 841509306, 379245195, 618988757, 786519206, 764524300, 557642989, 646329794, 162797993, 153970635, 351600767, 39151982, 959166309, 544997669, 525343157, 182832633, 791349426, 726935992, 500404979, 301575127, 133181533, 475324256, 468232788, 456613914, 724204716, 33078438, 65591547, 579336587, 472094108, 874268368, 851934712, 33240127, 317442702, 765782121, 177948233, 261486538, 17243785, 685311672, 939633051, 534693634, 653186798, 120692524, 828420921, 262199739, 873340154, 287538596, 608103264, 261199967, 68517277, 937809881, 964679506, 259547020, 647555171, 928179910, 860749598, 573358021, 19165987, 441877755, 471335590, 747043443, 583633086, 171373058, 177876824, 65176876, 470893928, 954755789, 373797503, 424547386, 825704496, 410473902, 526582920, 407697522, 313057827, 48347387, 263645164, 256371113, 498594085, 770834335, 851903661, 12478099, 34621115, 472068429, 811393747, 186188077, 684187001, 123458061, 753011463, 845880727, 243384848, 339893253, 135359570, 898261917, 606757967, 534312032, 655421703, 588121559, 252376669, 135702799, 616055349, 214209433, 386005360, 538316596, 711867737, 851969843, 349015218, 167913513, 402660772, 230529217, 64162697, 655668777, 230439025, 100666049, 117290718, 466381215, 502209634, 229316848, 159600772, 58689895, 38338912, 190672548, 25922211, 62149800, 103534088, 815504856, 756521567, 493170839, 116426480, 714649447, 310038768, 318233713, 740794430, 787335387, 967297275, 227455115, 569908549, 923328931, 965296675, 628250823, 604408897, 745605140, 772453297, 887709382, 995635157, 620066279, 6383577, 245084692, 740425194, 143630662, 82756495, 916150692, 401428665, 615943405, 898236333, 942831472, 952632898, 985543191, 377349815, 424683091, 52285380, 245405143, 387426423, 351886766, 546919369, 929561215, 750172521, 488855888, 266124591, 838382624, 446361468, 532704737, 300166008, 172673305, 933657307, 544069251, 913634158, 686747477, 836779972, 297714776, 460081981, 675709973, 343826625, 258995138, 658227604, 847822177, 551704214, 303005176, 232605682, 733324191, 815720146, 843664435, 810828951, 888913038, 434055248, 29580491, 626007723, 69144178, 744787989, 107298062, 569453107, 887998946, 675226463, 848515632, 284107131, 784261922, 151274111, 718440452, 877480239, 702665010, 278388597, 17309173, 239706976, 248769157, 731538403, 440455564, 918547691, 825607306, 854335978, 774116674, 788073273, 182336989, 710596200, 280423224, 606609550, 146913188, 28078818, 61875958, 663368652, 498535041, 194470828, 813559028, 12952251, 312097215, 657785688, 479925992, 755815940, 186799440, 442857583, 151830564, 144269796, 461577678, 351357144, 744335392, 110644308, 936642666, 289575684, 81572677, 562433223, 745079003, 404272999, 809419919, 382541601, 196123560, 812596841, 372083132, 657302321, 445738182, 153734021, 746772455, 659587727, 749557084, 777161862, 105653640, 559518307, 319802792, 992640264, 416040878, 276828213, 509882869, 96328018, 410195495, 499598670, 326556304, 618620226, 136907283, 527549521, 58151195, 98684956, 240333860, 983665222, 17480482, 280503589, 868221253, 256345009, 969202761, 312178542, 944089903, 964396389, 12299489, 469796288, 964297044, 157566903, 364015997, 319103717, 817892418, 579021930, 13677696, 81862186, 552268366, 145225733, 388095503, 835391628, 899739479, 319232009, 741650706, 259035996, 472983593, 651203832, 645633811, 193106569, 23591317, 148115254, 310279506, 513486516, 847450668, 45400720, 489956078, 527481763, 765286711, 464628520, 43814676, 245624788, 456723528, 709087979, 374794217, 933408756, 660895036, 927503873, 148415378, 194248852, 890876037, 695777143, 158301504, 755698743, 602362757, 677017704, 657889469, 534924368, 906157099, 382047775, 68279386, 76621292, 604910747, 283898328, 453566602, 443115388, 31641528, 725517746, 591864580, 90808422, 969026338, 190882515, 416617419, 157758160, 881928648, 629865722, 800165209, 511282808, 898696760, 578525058, 371514080, 49131097, 126668129, 186068404, 427736328, 785459346, 23767989, 669984880, 890020822, 402534919, 69056634, 848663083, 974292456, 622632991, 84774312, 330073660, 705731053, 659224886, 564812260, 649993895, 385054430, 639330675, 494642764, 763088190, 86778686, 840781219, 895158191, 412067119, 450850376, 47635117, 172333627, 91271992, 788572284, 302401653, 800347516, 794689606, 700740291, 852590826, 49249717, 818709665, 647090186, 75581632, 316979279, 836540000, 207412402, 341122333, 904925442, 17970509, 804488249, 181088845, 457398613, 641738096, 521076958, 399535905, 927038206, 531581514, 89755185, 568210035, 264083792, 438147707, 461067118, 155435223, 398745882, 428485169, 841376145, 888486503, 433938380, 479839583, 236777894, 889109990, 767959216, 276015167, 923418640, 951730010, 534519502, 699641113, 380516833, 199557862, 174042508, 492490188, 857719861, 652378172, 825825681, 177262010, 773390060, 859803241, 685291053, 94900922, 280171837, 697390878, 904267490, 405140498, 631378470, 735534598, 949785971, 120002797, 309548330, 392018343, 432632349, 803442113, 319940288, 171938115, 750132408, 395291572, 274433260, 950621238, 953601888, 316724827, 732615007, 709398114, 357961232, 226435930, 463719669, 119004500, 926046566, 375367143, 456280577, 897363230, 321707875, 362916142, 546932742, 800455892, 354747381, 507935717, 103050101, 506884744, 55819037, 572143961, 514826014, 735798258, 355822775, 621152637, 744207156, 325624090, 461341348, 449653283, 572669991, 67842315, 908180319, 640268618, 214377936, 345061032, 394355323, 363272056, 583544296, 628143121, 464769054, 922713954, 15093013, 221899731, 759359213, 661226419, 394837828, 462854204, 102577214, 952013726, 29268988, 559480792, 163067244, 799746170, 143043352, 456394057, 613172581, 390756588, 603039635, 516751536, 537510974, 694536720, 324874892, 947905364, 143363324, 517069727, 179807105, 172570294, 510718023, 743288959, 791826781, 841717186, 885627222, 423890772, 577575354, 544384027, 820901164, 740283059, 858971381, 792995135, 936553376, 851461564, 782293872, 693233446, 461509240, 187624377, 791137831, 784374961, 203830873, 492588654, 308808656, 381023831, 875252069, 66785800, 928896491, 946135909, 295777704, 303528680, 59465674, 499892963, 736343621, 720898217, 136177980, 191790815, 963639605, 612089790, 553735257, 652603572, 279565238, 284811676, 802051791, 331824789, 420300691, 385533274, 128219793, 475295901, 297534144, 535879851, 573286487, 742646615, 714183684, 146112243, 139400012, 746368583, 566102987, 553941001, 264149160, 125034729, 515789662, 542392160, 56327781, 305689939, 737888971, 58360682, 35891408, 891629542, 171201773, 956858784, 481267569, 141956424, 18176841, 62093440, 291526336, 389045064, 104831872, 386939601, 992118669, 411185546, 899820633, 505699349, 396925773, 227287069, 567729032, 994329549, 928702396, 819829153, 349309642, 890228519, 672642785, 872605296, 368046973, 154831670, 633639130, 217667319, 165428127, 741162097, 678142049, 27491680, 453055494, 170509226, 923958955, 319488734, 623224269, 92762864, 248798156, 967761957, 998710547, 777616116, 196065571, 145225836, 134357071, 461790303, 576095229, 358107149, 61235146, 716113754, 992352141, 313190476, 511924580, 937347609, 41375478, 51775066, 530073957, 955109316, 916994986, 260081676, 709431976, 697558728, 962020390, 996588840, 141125234, 60590577, 966654833, 155357884, 102697907, 112898930, 8750637, 614723779, 24143598, 47435647, 117695370, 765745083, 467003640, 557086033, 931497785, 547286816, 599040751, 543317106, 204924491, 851852724, 550990846, 177871652, 549411262, 674929463, 693983684, 55598775, 933420143, 904858686, 771046057, 251906115, 479599854, 244319877, 271827370, 457121060, 804648012, 898996298, 787583321, 350011602, 769830665, 507106790, 328268200, 9504213, 246428039, 579847696, 483007996, 772344185, 388853114, 746161209, 937911085, 215218066, 881279093, 68265430, 694006849, 40111062, 709556927, 500066158, 107015854, 569466694, 604127736, 390527271, 855376375, 355085380, 31751835, 782308835, 314041218, 907981606, 103624655, 987998306, 35968255, 930621935, 675955959, 859345023, 927278408, 953540104, 992801210, 182504195, 383725050, 276520873, 246966463, 391205972, 212005696, 690702135, 186650932, 630398988, 481863705, 820015855, 442326399, 785545883, 841273753, 92426057, 449643783, 189886063, 138153159, 396886018, 739599060, 641413452, 24476340, 922971701, 893629356, 985437278, 586641179, 509379420, 555732712, 505009851, 671905716, 556584290, 289599284, 139764999, 695277572, 503815554, 909325787, 621298816, 293512420, 248179018, 383133127, 968070236, 872969345, 817987845, 652179350, 378207171, 34177948, 70241621, 113916537, 478378153, 908929536, 10166896, 699797025, 147754948, 656537505, 579940131, 664465798, 996233037, 593335905, 918064827, 2065452, 646937142, 394751358, 119065882, 485852922, 242470264, 347962003, 17657596, 716927956, 81373929, 835611828, 630184962, 482982242, 973654650, 976377416, 326248504, 664195339, 44276393, 501270155, 187746381, 427395652, 366401777, 588381632, 56236201, 405081809, 78399728, 496785917, 284161896, 490287294, 502107933, 996130009, 947183803, 136146833, 723951808, 181920328, 360592448, 439901487, 742041754, 557296007, 847825951, 511586277, 823812031, 191815237, 727731252, 925854096, 413775230, 476750720, 366711887, 792758532, 816942176, 997322568, 145404730, 602647887, 182558738, 36807904, 872052864, 315192563, 392354005, 260542904, 580706386, 141973022, 511510520, 107304785, 400632580, 243670953, 326191509, 411945471, 675713528, 526957650, 149389086, 179364331, 647778848, 138600071, 249117340, 546864927, 979349945, 67808872, 547041736, 512150929, 147077767, 576105543, 645945672, 127974098, 681299234, 312340595, 697427740, 700601900, 657776191, 267335493, 918940571, 806243777, 703088867, 742171183, 8951367, 809116931, 667411335, 917100968, 378292853, 743198626, 83595656, 673674792, 416694515, 170769902, 741094564, 200654720, 968594408, 38946492, 383169515, 803482351, 548200916, 287857019, 371909539, 410762153, 668456788, 257618086, 83225437, 222298408, 643990538, 219077737, 303315224, 840702335, 85003284, 129613337, 378185304, 769344296, 506312307, 296624102, 343197132, 318442114, 571254354, 800861788, 109491652, 730343462, 123117716, 520521008, 621304375, 352658350, 659152786, 651140117, 510695816, 847572924, 506365788, 462408197, 458119812, 745994505, 468807045, 896804386, 141332484, 923660756, 808135126, 195159726, 668797625, 520779149, 129325566, 27095726, 939400343, 206158841, 535088594, 139027203, 863703791, 498885699, 976596021, 714896696, 819469678, 1279997, 90365482, 903798754, 700268470, 870267946, 855640216, 39457079, 795480236, 707019362, 108365705, 612370460, 439961296, 618625803, 785704098, 629524918, 358669986, 353321846, 527198276, 265881583, 386829745, 91537597, 426036189, 794311266, 452522100, 893410293, 646958029, 978910282, 875048570, 816664033, 547776577, 148831325, 545281705, 181893272, 588376625, 62593072, 888920566, 313325803, 78359331, 381464578, 224730194, 404361952, 975407616, 464857567, 915028074, 716394403, 409223194, 669537840, 518372565, 916535279, 170618544, 364985000, 180346444, 534089468, 188250689, 110435801, 76054691, 325076645, 224336409, 338296942, 952959759, 298918395, 112708497, 28485961, 392773777, 106271402, 484200090, 139616303, 868349938, 124123113, 413287692, 961573763, 911750608, 182365930, 611526846, 188589527, 477527507, 540301926, 133540213, 749299777, 894949049, 971258674, 761492664, 249214242, 885086884, 429147401, 737787165, 982556888, 863846614, 115721024, 938927586, 612661859, 17091504, 267060844, 778239705, 458136520, 883421189, 721172740, 615793083, 754098139, 383566737, 688881149, 259641751, 456252274, 413316161, 562039340, 562192441, 657022339, 825491338, 364605250, 248927821, 204332727, 21115867, 510692262, 547664591, 27368304, 626054110, 453477733, 965426413, 585572958, 894198098, 845202972, 57197158, 582307377, 829596124, 77481595, 214923002, 488494530, 31254777, 716749955, 663408918, 639832850, 45551037, 88577302, 960775348, 675777393, 257870671, 430844645, 86126314, 325639211, 595215303, 66682611, 323588591, 898159938, 729765373, 11361702, 857244969, 630428198, 344005864, 481615157, 658026623, 97544919, 40361661, 893515481, 766527939, 424658384, 932286115, 269103540, 333073589, 784319589, 398354827, 197302528, 494412144, 583078520, 480617409, 518234867, 177659258, 214449957, 20963735, 900367187, 600820470, 320312511, 495578462, 283645598, 508062608, 628218230, 37482362, 239572250, 512315321, 725284373, 329358694, 511101447, 17083723, 181215734, 430570474, 156212125, 567079692, 566874172, 123539018, 103484222, 828681010, 167409191, 121506138, 267206966, 856688470, 56361382, 722745969, 847272439, 437591959, 319565600, 392298627, 481204969, 666056962, 782720838, 537508427, 625053504, 820013911, 505950233, 402501589, 441291047, 156588594, 646148518, 597632784, 38704452, 882438880, 182831039, 201861877, 214871672, 347776958, 498966166, 13991764, 186628637, 439574240, 838784693, 483188207, 755924290, 596112254, 802433472, 228400846, 664005281, 650094825, 506397465, 439217975, 305561355, 54217457, 600511626, 490785232, 1649907, 748198621, 645582163, 777058810, 201541310, 57009871, 579221951, 541039822, 471485806, 748598385, 615889740, 546860529, 330406932, 322731805, 982367741, 818703031, 273296534, 43035933, 657442515, 982472703, 481021724, 688884116, 607818969, 308607606, 703894795, 160710333, 448703867, 470892206, 675198664, 325443419, 329269404, 292558494, 923915177, 656166591, 216923439, 660414179, 753500699, 289755539, 620404950, 601398870, 757483412, 178843327, 983829953, 112013701, 866733650, 369873708, 169291068, 946381508, 723657354, 501733586, 765991423, 660672633, 462432433, 534678965, 960114105, 478030057, 576741383, 927244947, 568691151, 337841329, 800298708, 663841121, 123101591, 31311010, 68366341, 65165974, 600361210, 974624309, 838005743, 577896194, 766078471, 129390525, 818814813, 686624171, 551035884, 46879852, 317890314, 635665688, 487841437, 300655302, 78056140, 727070939, 419063024, 35461523, 869303525, 290644421, 158898529, 36591900, 35932549, 491065967, 449285323, 829778130, 761092654, 953459382, 141711666, 87519509, 881631857, 485437614, 300335821, 950731292, 580969588, 940335515, 874367637, 681873953, 110323914, 512987426, 793764117, 164114441, 584875946, 599719008, 343366864, 317639726, 286574686, 223429676, 109626798, 271232912, 805229066, 636524151, 399512727, 728031157, 183389042, 240731497, 832918711, 863223866, 701214502, 785514330, 757145035, 638327644, 486896902, 210683227, 709159461, 893785527, 714707413, 291065956, 999180266, 122549883, 830609307, 846498912, 16263862, 128743972, 316450436, 654045884, 2667771, 639740716, 595030690, 814156724, 30060942, 463033516, 425135015, 511412426, 399096923, 112030017, 385210716, 713407011, 974495556, 228396928, 803477439, 428612817, 340684355, 72070760, 661050305, 145548457, 41848067, 741469985, 596122892, 827433175, 420735745, 963880730, 738094746, 263156429, 449136427, 399451173, 342636970, 581766334, 96331502, 30635618, 114056719, 240169419, 751723815, 599882908, 910300988, 49418037, 967270681, 101121314, 143258377, 145181715, 158797876, 585227295, 23144662, 324317639, 685286511, 520305496, 509810754, 921733454, 50741067, 878047818, 736089818, 15273616, 323040697, 30108054, 15068584, 58471634, 578082785, 20642577, 286970666, 730836577, 607705242, 555594036, 504706512, 582579350, 83851870, 692968480, 594253565, 69355371, 652810495, 572877221, 12675090, 278374149, 532340997, 149499197, 715393047, 845510390, 928969371, 575979034, 680217443, 500814202, 119577756, 506931006, 101649554, 198617091, 518917334, 499063175, 492713623, 858866802, 797638168, 295227410, 882469394, 971018232, 551105351, 739936130, 503618350, 559698672, 618570125, 960008051, 863481674, 972823379, 160466945, 30720638, 445961060, 286895704, 458040928, 302542247, 325039416, 479504528, 931417282, 683967532, 666139637, 9991762, 187602289, 458596573, 818086442, 242830795, 122597351, 727616093, 123368857, 282625062, 567700247, 68607397, 914037843, 147696028, 687194905, 866005643, 978248889, 555420622, 727126270, 640616225, 548698971, 263975710, 329730182, 436205256, 568625402, 289566410, 645796652, 278832022, 139591237, 65490675, 665248265, 687048204, 351603338, 584771907, 502139850, 705085022, 194555831, 114214203, 729387849, 413271856, 982113843, 731114040, 611240364, 894952804, 432362002, 579196880, 788832870, 442757143, 787490007, 729317446, 961282976, 331606650, 388259442, 162412649, 693372406, 163655305, 737570121, 386030526, 265107968, 304725384, 812938031, 443370736, 434792423, 500793616, 592545986, 745377341, 719552500, 867609304, 601099036, 607883599, 998057841, 789056402, 365658873, 149088710, 308289341, 430274004, 345414421, 340356641, 426565857, 172990618, 732893980, 489388715, 37016057, 117067653, 809157265, 730000686, 576105973, 429487411, 318150681, 625812265, 913332975, 669343980, 205587230, 184749504, 393830158, 154991424, 576042862, 477673738, 833760365, 354231984, 814955152, 416337635, 281175219, 315628929, 67409441, 366689386, 940485182, 920961387, 788517102, 808207830, 274637504, 899500216, 552941030, 839681726, 550615209, 834768476, 175688311, 767414138, 891283798, 487869796, 779908830, 262397563, 97957945, 518098706, 153345380, 338971039, 994229640, 490068585, 946447166, 678583938, 75123218, 235576054, 513454964, 639419480, 77347963, 795890683, 159723456, 569050398, 623873583, 125638143, 253964077, 613120119, 307009781, 854050535, 523573170, 714981420, 735043974, 117609445, 873078861, 821395210, 416884431, 551841717, 920180672, 445619884, 661170098, 465506917, 364926006, 125389213, 170173885, 100910327, 977123424, 146573031, 970984521, 904275789, 489280726, 509545633, 596709755, 950887506, 493717384, 522869309, 706685638, 49693980, 599015929, 726781311, 880241855, 443163728, 571153042, 647921132, 793190240, 512532854, 282023390, 809801873, 111727026, 973177567, 613751497, 769784802, 507304665, 571643155, 304539836, 679568797, 161684763, 286298293, 447731745, 492590686, 400021136, 611999579, 768517328, 33340443, 197160426, 851347989, 382782348, 437827909, 49122159, 14858325, 107808501, 642702771, 820265079, 908044217, 975192565, 42740071, 301569486, 261609215, 483783697, 270845855, 953525411, 433334045, 733915151, 804122035, 837514072, 354035885, 42231432, 804131838, 533637918, 765414540, 585782503, 254571584, 284420630, 717248775, 823482331, 67706263, 420823869, 594456106, 854322358, 513724108, 796436270, 167121631, 277730292, 572520115, 387455970, 134510209, 530854230, 770485945, 137770742, 653489764, 911450672, 169076299, 973178465, 33325229, 583884415, 298279630, 482710605, 979898824, 578986265, 967704297, 927480704, 673929354, 17265624, 412209691, 483584233, 465444235, 91759926, 523183038, 671884341, 772191809, 241990322, 451363386, 23746642, 328530889, 100439015, 138197742, 454265287, 234010943, 235321965, 286354839, 11399980, 442681280, 395354176, 196387261, 526979845, 979069696, 384445778, 63922004, 448449347, 467370161, 12501931, 525437941, 844347868, 363993639, 123390245, 372779450, 438871378, 928702535, 922774227, 275955025, 909268037, 608648648, 851511781, 79820971, 477676219, 82909042, 61552992, 272303691, 453058165, 993740161, 566756540, 671139562, 700984913, 247814663, 988630482, 272647691, 617940939, 682088710, 929502509, 72528955, 228647483, 924385736, 784288807, 687504084, 493172243, 7410409, 859693916, 217420272, 972954735, 660448464, 532104048, 975942124, 229732924, 706527599, 571326966, 193850527, 237189012, 401193577, 127124624, 269099324, 68791900, 451538840, 158570712, 750202343, 316017115, 165738112, 557182428, 768177748, 856448411, 323678236, 640304369, 474279161, 29826084, 762921065, 87921973, 407928921, 436529019, 501224008, 486249084, 943991388, 946188406, 384685847, 231434383, 141741953, 680389033, 822665682, 444399901, 799183797, 663502868, 525755303, 487019121, 678607004, 413471252, 975144104, 600232661, 410453636, 125643759, 995333824, 625072704, 656856267, 29165491, 995396459, 698351985, 179153523, 264982931, 962247732, 216429303, 930388221, 797840513, 901444140, 632566162, 443659361, 147257622, 281229688, 785370406, 577252509, 731936559, 273753812, 76779878, 380368629, 644275718, 573230520, 493659766, 266905553, 243566667, 380853726, 114931170, 430751495, 802318964, 919127446, 673178934, 970375091, 907607115, 319313506, 587301254, 250999742, 258792256, 447081012, 468733794, 970626616, 897978065, 463664449, 51397328, 539144356, 728740584, 837285070, 851810376, 629764446, 787280916, 443292918, 298992759, 369282910, 864984646, 753903636, 795916933, 688922010, 838829218, 94284665, 15509263, 479376501, 561458676, 429169887, 901950913, 687756508, 687355375, 434569662, 253369819, 224996566, 841357494, 114495548, 886494687, 812746448, 187540856, 392036841, 127095745, 327286411, 315200890, 84297428, 157246599, 763142283, 637770490, 832677583, 483569130, 970479427, 450326407, 934091187, 381667328, 290242337, 745057995, 533205288, 596242510, 777546839, 412524307, 847153910, 72760249, 378715840, 597103228, 612559387, 931986257, 855861072, 820309088, 605509719, 528765490, 750796560, 311999270, 359922248, 382974881, 350854819, 992673088, 733944253, 437015554, 440981394, 417248658, 131439216, 921810301, 501725205, 620447276, 223802491, 281081526, 988528589, 478355744, 959214946, 696577650, 880824010, 404671473, 327341940, 32317431, 20632093, 91096564, 22818900, 508487342, 202034724, 57999344, 233609823, 985933648, 612612331, 447616295, 891828679, 353172084, 539546840, 161740521, 389477744, 976353332, 377773136, 633080644, 471328234, 747249619, 569689149, 549460196, 14799733, 898787794, 379352341, 877998726, 570107923, 194509816, 320007186, 463390388, 308607781, 654123396, 711851182, 304809894, 617155242, 724319137, 367406963, 739244270, 87910673, 746819934, 1178927, 223818234, 554632586, 170983226, 498414774, 197951135, 757131737, 980448822, 125626797, 487202159, 810996759, 310736614, 444506831, 140418853, 532051654, 446905400, 278577398, 527950683, 891820968, 92906649, 329905152, 473144030, 43814803, 461257283, 634758102, 405923927, 29220667, 680335797, 542156697, 477131634, 314185414, 71910901, 785906496, 252926479, 112854736, 678531333, 556628929, 741722780, 177925912, 175365762, 553537913, 453923993, 977490551, 397779306, 801129699, 191616718, 229632237, 442420621, 52927797, 79284149, 386709118, 113048869, 536654831, 421800798, 541397772, 595264521, 472694126, 640955324, 165745531, 154866111, 743678172, 46045478, 781287616, 216750854, 476770061, 706449057, 306686175, 234358938, 229869080, 172751777, 42956039, 241195090, 304152759, 834631911, 757190040, 920247127, 309562775, 369773444, 230361404, 305073218, 567408047, 840825590, 958762400, 107669202, 515797060, 476521963, 442557479, 249570164, 675065553, 483014817, 941495359, 116372705, 882279888, 758708275, 153093552, 391149479, 484238397, 718314970, 963258005, 691794246, 99793208, 6338400, 961825228, 947006026, 752473202, 161659130, 182496786, 3122622, 996353371, 150446498, 980812371, 754700903, 780407038, 802268842, 947780711, 530444064, 74369919, 902045066, 712443016, 672046971, 720031995, 922881144, 215081315, 2250549, 998252364, 831236137, 741383722, 149891404, 86913957, 721854944, 843451921, 218572964, 37230118, 758772720, 661958072, 554509729, 786751819, 881667279, 505374590, 823682180, 623172397, 243120469, 6539839, 557379213, 949475248, 551823191, 808601773, 315679851, 223597941, 870088954, 443794246, 393456967, 512552598, 57799144, 13360621, 669560115, 623026901, 834837175, 444927581, 876725919, 911501941, 134128261, 886925545, 930224105, 965896857, 292879457, 928914934, 141727616, 935680434, 51851171, 150396873, 24847966, 500915562, 486757577, 540019214, 55853489, 108621927, 737156343, 151923591, 973143029, 512270629, 327127090, 536883356, 185914975, 703842406, 728797651, 540188878, 42160700, 642880945, 216563644, 311624814, 151782577, 848252666, 189560895, 489896391, 606673706, 477062676, 446644148, 778873783, 814837387, 692753915, 298254874, 474282593, 590440383, 373937995, 28664783, 290759282, 478670892, 374793239, 152668103, 256529599, 361741209, 734661330, 629656470, 101372930, 398054724, 9636274, 700938601, 394375124, 447839531, 923825587, 883887936, 109190820, 73982244, 829186778, 16513258, 733663097, 709063354, 156942950, 708088710, 142442430, 623079224, 905067813, 921787352, 194898122, 756352724, 376358456, 427240693, 23008617, 121954673, 80670576, 730172577, 398047139, 880342786, 209505917, 803036246, 986832779, 516548337, 348678032, 697340655, 80870953, 336297845, 590579043, 343049269, 941476688, 479867074, 748968334, 548677738, 233667877, 867548695, 813565310, 133826010, 863315175, 65369616, 539960852, 127648788, 768336751, 879231011, 72685788, 681114404, 341483393, 618641504, 788543415, 360947072, 262332306, 332846017, 413342482, 492065521, 102755137, 791322677, 711313182, 890734267, 492150585, 125125008, 158457087, 97204061, 255896443, 21662273, 683490888, 302721519, 989989035, 355583540, 237787066, 561453197, 828929839, 164861810, 192138276, 690983548, 949279993, 484955415, 839515591, 681853964, 21380012, 295171078, 314087392, 40374860, 767869541, 545272218, 212003252, 694448309, 44344931, 294686192, 440648271, 20916910, 304839557, 442586723, 849649902, 504233930, 919804906, 243756418, 667790619, 94325456, 197539560, 839452643, 224087231, 627657281, 837977546, 62922730, 331375971, 656602411, 267306152, 646542233, 487011467, 420200739, 970374781, 193136116, 259551460, 56982938, 728288841, 877085417, 398787597, 645414471, 716729114, 522970862, 289335820, 849274957, 985782289, 330336549, 147831414, 466994242, 590239740, 321187523, 794232676, 275379993, 255595671, 414539271, 761754840, 226070463, 279749557, 732716955, 811049178, 267851811, 827283297, 286282041, 425923377, 557700597, 462224865, 110283250, 79349055, 755741525, 502338110, 381407165, 190857386, 818974661, 599482603, 786949806, 385480110, 59045835, 157508595, 182230741, 109034878, 663875278, 414664510, 834570591, 162208199, 201896677, 73169007, 775056072, 330562395, 815702053, 732871952, 386497876, 727735957, 297512344, 81102614, 64476290, 763774422, 917856597, 642712557, 805370903, 704418524, 661864000, 844613262, 821173623, 842084599, 945420882, 520178812, 773063105, 794559769, 799900264, 328083492, 257583309, 641450022, 959167493, 240352054, 746212096, 269576727, 954496482, 329632531, 968567750, 581413162, 219409399, 72863109, 860214367, 299985002, 63422574, 809876326, 780785206, 380595378, 25228291, 24290698, 671549493, 803549511, 862783237, 540871561, 973377335, 131801959, 11176116, 914264846, 324107268, 918567020, 789962631, 121197919, 618432354, 154456435, 739408644, 51975043, 757920761, 714140418, 873931170, 452598584, 292123373, 374357692, 113426574, 552896353, 121348198, 276598753, 814778153, 289076078, 917730154, 581892186, 288423807, 812924586, 436475971, 440860691, 915416455, 45972390, 781929164, 108115081, 67895699, 461145967, 400782986, 343751241, 982140232, 729460550, 607555884, 892556185, 481211205, 199154478, 941194400, 994988401, 21201877, 64975225, 331511033, 89723152, 533112592, 654513138, 382203987, 25875181, 848441524, 924504106, 550904921, 247212425, 400103200, 778578014, 946038035, 729967462, 792567330, 953244200, 527344015, 352484943, 669514388, 534144817, 424467032, 9675580, 352381485, 666843361, 44034870, 541153935, 816210145, 953213442, 407931221, 704341148, 48330616, 514704450, 144695788, 184403991, 62960299, 191076319, 644998535, 442223021, 618251637, 755340441, 356681774, 218131464, 2978461, 450513234, 56953981, 480386266, 918847154, 805051221, 979852035, 118357490, 602408901, 553500929, 402905028, 903200700, 608983836, 405465625, 884447450, 871320490, 574492645, 712721281, 545141199, 643122217, 455215864, 369286023, 829432298, 776340057, 746110064, 68400584, 694929667, 995903084, 849605148, 576780248, 297871623, 303644935, 959665945, 452916334, 504177808, 820330346, 672231643, 913320081, 153716995, 764632276, 778920425, 691358472, 484676167, 95821096, 273930055, 520933369, 204880888, 424771231, 200001599, 87544369, 812055738, 538360875, 389588008, 636287768, 84756670, 254316911, 135791788, 16698340, 595254671, 129897621, 756266851, 27945539, 246861100, 722185540, 970046209, 39132860, 420284908, 109249154, 621775209, 793429254, 477823184, 349975049, 467697256, 283134610, 7435339, 473904132, 703210014, 5884256, 493905062, 383020607, 422180150, 645579239, 284678640, 278157633, 843814632, 343164063, 614280810, 207149706, 630108890, 302060276, 142419270, 411896770, 454642609, 934066465, 896529156, 146798296, 504507378, 958966589, 304013059, 948429585, 392481251, 254044560, 282406870, 887025082, 902797934, 539316751, 942190980, 5252342, 999409064, 50427638, 104863710, 141514226, 197878183, 617105815, 108470700, 160936855, 571960966, 353857459, 970714138, 792518450, 588528770, 323896906, 677665602, 223925331, 645076183, 993628448, 730498993, 402415856, 446794188, 945405635, 448390446, 214111759, 74497214, 184142502, 813117555, 668871099, 783119305, 996142076, 226135507, 577796324, 329545370, 988992000, 73044736, 411465544, 200504287, 924848901, 177046628, 989795947, 130728192, 997915863, 865837634, 661184773, 703324798, 262713345, 28593644, 996184056, 142245015, 19508658, 37681962, 661981888, 492487715, 667415848, 305802038, 173225528, 685210486, 864388607, 225597345, 798535436, 449389286, 136315069, 32345122, 929895305, 147323848, 677431408, 435047674, 710520022, 917237286, 802170166, 596301180, 330141808, 966573354, 486292390, 343187508, 27664074, 619814055, 215127628, 714645534, 916021956, 760532089, 238737276, 472084060, 512188992, 27980516, 126239791, 703842483, 719181325, 872476177, 280828447, 998014522, 810156848, 9095615, 133505117, 964341752, 500824092, 699278322, 417738879, 821867151, 761302150, 273113640, 529451739, 7504309, 408075009, 10481411, 74292520, 747006173, 155794391, 612619410, 242364339, 795031449, 271265863, 827379559, 759365341, 794503485, 308729031, 924636219, 831682905, 132824252, 179956176, 292387844, 945907836, 211902044, 506896220, 192162599, 288497260, 908500796, 607926588, 963885398, 315597984, 494049563, 454462008, 437321629, 873175947, 200142483, 437404520, 925119378, 92051283, 561832924, 782446142, 461384531, 558199564, 594402860, 402201002, 156307356, 638004907, 731912411, 532324848, 186539354, 162472138, 865653607, 613957306, 734426270, 242605294, 708775200, 779255108, 780575404, 874213601, 886138578, 715656599, 418436674, 375892373, 576968504, 18837905, 14295565, 207589159, 437850017, 376276578, 166671335, 826636670, 487924644, 226221935, 906397620, 174988783, 792880388, 206995952, 816055216, 428250773, 817658744, 684993800, 82264763, 831309350, 458138684, 49574207, 270808604, 825151109, 148770538, 648239351, 633278693, 197076205, 518606898, 31609875, 962334258, 824591239, 997100439, 489774508, 951961539, 55532917, 659325538, 176288451, 918122177, 723005631, 253014882, 582037725, 263157487, 3226987, 796837840, 600602947, 440564985, 323683983, 370872857, 385407079, 522181762, 920803915, 964023237, 256516454, 584141566, 740520415, 433128581, 509928724, 308512547, 643674726, 549080964, 280856286, 393373043, 948578721, 698656914, 20219761, 576665457, 875751145, 409713218, 792417128, 269686833, 448714061, 144745134, 648564912, 584178303, 290170274, 144220609, 306987168, 40841974, 430455506, 566729298, 421638541, 778783083, 17289484, 665864060, 536448907, 126696701, 167350399, 266735986, 409472452, 976393432, 805632957, 504865996, 623642531, 742001966, 326660963, 855964451, 561728230, 988533789, 369677775, 761348118, 206908048, 285112917, 121948112, 10216001, 326844419, 371012682, 799016679, 499123420, 44877962, 598595131, 55759500, 51703762, 738088616, 98209656, 724348010, 801684435, 312997755, 192933405, 563251252, 77398632, 799269973, 115590821, 170009480, 2228651, 777714936, 382386619, 405782582, 777244192, 595426642, 916499213, 385705294, 349128092, 928141415, 827376584, 716968143, 603054543, 220710078, 143824763, 254336918, 21548149, 303017596, 532072341, 456543303, 13156810, 693132247, 164645665, 311352402, 438434511, 919757848, 804380068, 831343576, 281023015, 76366074, 881646710, 88084156, 227155845, 113409937, 627831359, 104898819, 103785588, 208051426, 210291855, 858669765, 68193698, 781562175, 194933864, 715413339, 537864664, 426704775, 884411200, 506387794, 538414723, 166925336, 22617916, 899135438, 295979381, 660818380, 259192009, 568165232, 887937943, 889030957, 659348010, 68200141, 638267214, 907878763, 449360680, 619530036, 486146957, 157855016, 113905829, 607392571, 356861554, 388402264, 467556083, 776034722, 528301974, 130837829, 917795250, 412425595, 298454172, 713167038, 844658626, 931759593, 596015297, 820499906, 934172298, 923506507, 935338128, 63807269, 551927209, 299286058, 131227394, 8229835, 940560522, 3897516, 160616183, 524416544, 857250389, 696924628, 190758067, 328678523, 693607113, 564963428, 50942004, 676453069, 344114809, 694022431, 283065256, 319127404, 197135463, 670145776, 884206417, 134301145, 850926874, 440868563, 88579426, 84462250, 364416619, 456465163, 591586491, 19282466, 491689503, 305745803, 227096210, 911057582, 752703061, 608129018, 94112366, 768584995, 924799472, 713539276, 423324057, 460020059, 328595831, 834830060, 482597770, 633175311, 258061666, 331582110, 275220987, 698049269, 937872083, 808084221, 673665839, 48404513, 270077924, 239756875, 795473322, 588518689, 116699213, 406211939, 897031828, 147768788, 268451755, 639755930, 677931542, 441388367, 695919727, 896599985, 79313427, 66418172, 556643467, 564347745, 208554987, 636279106, 826963082, 26550350, 9696371, 901847850, 17434915, 881515122, 500383346, 390089535, 984749798, 396253174, 415759380, 928819511, 972088554, 973904278, 939157909, 463790313, 949992584, 817227006, 453310501, 708966035, 126911614, 142165630, 617832995, 87855895, 157636860, 778557483, 345371634, 683055791, 557601417, 283904673, 16356069, 48070577, 131148008, 456728330, 303395276, 452301947, 334037985, 111029123, 799277775, 485555613, 911878258, 984390555, 925335914, 171133589, 788657196, 405548598, 674442220, 678980086, 517055793, 323572451, 624014070, 18426152, 909431046, 501316087, 448171002, 356807897, 385581497, 452925860, 373569161, 170959943, 739464883, 424322386, 184090522, 518569448, 50247597, 903418550, 631257682, 355273159, 785861341, 655523202, 677360557, 60538226, 71942065, 666553961, 632047299, 296725915, 170136817, 362924295, 900045729, 79227015, 959514907, 625586377, 204409131, 41504955, 920070681, 293610462, 868053309, 587403592, 123251967, 909823035, 722562099, 814085834, 260913298, 315275309, 635325652, 887606574, 591824050, 10866176, 906955383, 980401033, 407159229, 645749207, 287087587, 793280590, 738329457, 951690403, 723874569, 13066007, 191254454, 741302592, 141418861, 309603703, 32593739, 348501916, 446688882, 33767511, 61101429, 875336453, 188295012, 144988141, 259053529, 492472002, 515699210, 214493883, 825974050, 326253045, 649238666, 480881708, 191150855, 762075073, 102431005, 251903274, 143063249, 302665735, 130854181, 321900914, 191588228, 285659786, 927817815, 220041203, 338476609, 821745517, 425303663, 371361971, 698185721, 272180033, 808690858, 948477836, 395978805, 914443234, 411794600, 850922114, 925875669, 495965331, 561805058, 347943614, 926614209, 102974157, 256834507, 216762634, 821215423, 983424837, 22765516, 408606307, 503958400, 245838152, 39206076, 912296663, 373674169, 727157350, 154889862, 826965028, 850552234, 318042387, 76539733, 179953164, 766460899, 600536710, 402671630, 391187694, 446276575, 56226589, 689888919, 674349593, 633491202, 789352215, 787915845, 876168832, 686601409, 837876577, 268798001, 194426204, 540786824, 135135828, 668919576, 76883619, 741633843, 258900908, 563099011, 277110121, 670752324, 467625163, 95054092, 405971679, 308091542, 590842035, 228898769, 811342064, 277242563, 603558661, 190005449, 933646818, 45433685, 176901578, 567104685, 944899241, 549685286, 436015026, 689002326, 23537771, 499029634, 772409148, 151507492, 151831195, 706167332, 657400398, 851557021, 956966565, 674757458, 891160818, 736178081, 475097147, 760027493, 311706286, 232261023, 639073021, 987578543, 984777698, 492143358, 660014671, 637076535, 94909101, 868845893, 307224693, 67978032, 41056226, 159530478, 471890763, 829449685, 697338268, 748560735, 594457962, 697133831, 589748050, 682037935, 946108593, 957332888, 754300983, 358640289, 805186407, 122487671, 294074346, 506861481, 51235197, 703022942, 493306204, 544108656, 20932086, 458066090, 355948060, 860238604, 243390419, 906323866, 800076150, 178303158, 875728275, 509046953, 202730020, 930257467, 497925152, 58373887, 272328322, 523723531, 742075079, 921653268, 370322066, 351159480, 701164570, 185395549, 630859390, 127462678, 29158539, 523984968, 937956737, 358545181, 864582734, 697340465, 459421425, 329438551, 282515394, 642531695, 974865253, 945839808, 164945210, 272220680, 775888674, 521449537, 165054140, 237645948, 332836401, 662464085, 269596546, 991650543, 44392692, 820354118, 916960689, 688669540, 393110117, 941451385, 825025408, 518251613, 138426653, 531194683, 626059836, 118032964, 250684845, 698795988, 308653849, 70340524, 279576665, 587910351, 602087783, 856501595, 916601573, 815623514, 303315105, 256352482, 675645946, 22037997, 578954422, 249247807, 923330071, 791726806, 966052627, 705556781, 983110977, 928759761, 734691552, 132262368, 688188430, 664914958, 235271185, 84337379, 373664096, 601794293, 836096273, 370594369, 936981576, 177766011, 733684281, 189210313, 761804815, 218996981, 844736724, 410150254, 424302996, 288585305, 841056971, 384455570, 787260947, 254687351, 250075244, 317220471, 246365067, 132677641, 531083388, 675669942, 215494017, 578482797, 420714273, 263359972, 683669756, 542127070, 505061250, 289802339, 867018999, 592498814, 334100480, 165891460, 963288539, 281914265, 408655893, 275222917, 729631404, 415893908, 164779455, 584715018, 900483581, 207066285, 831282935, 171395342, 969355168, 972515278, 250691675, 45536958, 11009743, 67537048, 821719062, 21904973, 523395998, 605628861, 261855759, 799438646, 449983643, 771449356, 325407749, 358367578, 309998816, 512460490, 930037931, 495688263, 318284168, 510783652, 142620512, 2867094, 593363550, 925668105, 393009024, 941025756, 301656439, 163852254, 28912643, 158553237, 133201461, 46954060, 689945516, 911523147, 701178538, 270580236, 355407987, 318630677, 337564681, 205086901, 577977055, 540415965, 612178635, 101364512, 891430598, 37699311, 803594803, 554433225, 382760931, 792107028, 742350144, 646413636, 757969103, 262713542, 778523547, 300155584, 607976468, 452203859, 700998071, 76575658, 321148144, 659250130, 847525741, 911188245, 968515642, 345031058, 930559669, 713725423, 304805834, 151362076, 794772152, 927306101, 973483068, 836348661, 554015342, 336743932, 558982094, 743876959, 876121073, 879962923, 835723801, 105652703, 709542582, 284365195, 709446046, 256587421, 723975227, 457760420, 812363053, 932426145, 599981523, 191330384, 998420366, 165460994, 400424269, 540484158, 872483576, 436331635, 356362959, 866098452, 229379060, 51451725, 133945514, 447677920, 770499142, 678192075, 548478470, 526702050, 636267288, 483150326, 790587892, 773590396, 191166688, 858118688, 979223018, 497625795, 855001392, 125748804, 568063716, 854334623, 428730513, 897030034, 971478914, 809497246, 507930181, 221556357, 604926130, 213160079, 7911590, 614295538, 50770494, 371684224, 861306492, 861549264, 696718950, 678889581, 522900739, 812952163, 243625384, 575566153, 896174564, 221601374, 208325253, 116101981, 982602467, 196531346, 113409245, 528046868, 184299619, 975638877, 659795945, 633916421, 325663955, 518255513, 760304175, 914556900, 354467660, 909423416, 512743817, 330770917, 231859342, 226659880, 968620404, 439670840, 57705089, 280621796, 718586638, 874814543, 202059070, 903950529, 766471613, 304881685, 919190292, 163980363, 738272581, 511078708, 813038036, 130100323, 140116400, 34500025, 177004975, 205280710, 848336001, 6474910, 578879877, 676665586, 474422896, 693311722, 726587245, 407466403, 372820996, 646489613, 430931662, 610717070, 69019138, 897420002, 155438116, 688892794, 43855050, 267070466, 88719168, 46434770, 904940428, 806481289, 301617425, 814373108, 978102137, 657721071, 648890928, 902059810, 374682927, 500001187, 583004571, 680660479, 83476396, 952050749, 147142124, 667868984, 657981113, 102671734, 358784078, 406697934, 707360486, 79134085, 604272737, 802224196, 359174134, 905288041, 791473640, 705865359, 590596904, 482590074, 925952674, 249054790, 180335802, 805655799, 746382056, 323052014, 899967149, 32984016, 537312948, 132667091, 834672206, 67723077, 436776631, 720157959, 445584565, 172829630, 342353780, 210551357, 970813894, 476334706, 180353311, 628928452, 602225966, 630556805, 717321883, 392963294, 99908994, 608294323, 444400321, 606894858, 388718499, 645952890, 960802119, 815989760, 611081929, 515344465, 513745265, 478997037, 841229177, 81699563, 759153050, 290183996, 553585503, 258645917, 395561574, 838949038, 699144010, 400097453, 571410236, 742353342, 284590289, 724337428, 639213966, 188625724, 667340156, 905643341, 113801389, 129651186, 466292399, 49327126, 726348983, 580551664, 522575405, 485001534, 32732886, 492505603, 776219900, 413569230, 937198155, 581047538, 862338393, 735628726, 42344845, 650356065, 740921998, 476714290, 280044829, 390324929, 639307692, 277601448, 130490230, 981471572, 445515616, 55039966, 139395400, 992187062, 176428499, 84483977, 373695028, 866137141, 887707339, 972632444, 135577939, 144522927, 45395272, 932859467, 3304288, 596864250, 98607035, 330198971, 589425880, 205294887, 817961346, 898055339, 50025294, 237907481, 754693395, 886319703, 343529901, 358161878, 57883200, 481423241, 744249684, 479802159, 901964104, 26400013, 808880608, 382363714, 753484364, 646117930, 381035115, 562411862, 450448173, 376350285, 734567770, 158001496, 828150606, 191238366, 641198638, 311865738, 623345660, 588807770, 19064924, 860408002, 7215291, 160532920, 404924763, 25558595, 85980775, 641483392, 695974581, 443713208, 711205642, 891325696, 888101740, 652300377, 103451107, 132337129, 27502070, 948014283, 17432707, 631532195, 663291589, 616281819, 919043717, 757543774, 45245528, 302654374, 328556942, 936274297, 176231505, 151888113, 351931047, 364991243, 868237703, 747414509, 954295354, 662728395, 407927180, 701763401, 12120358, 233229959, 966364394, 378388142, 595958622, 855750799, 860593286, 48893470, 359440557, 37816729, 832386225, 659673076, 776627678, 442541449, 363031215, 801506551, 769684159, 375244167, 275585422, 956835861, 720893326, 156903009, 396059299, 445843775, 389052259, 340385495, 34824334, 561486049, 30009939, 372130312, 411525921, 36921145, 53955169, 711368141, 220391230, 782784952, 749903946, 834534156, 364576311, 480528678, 322418017, 645506118, 472648710, 260737466, 872832886, 324645168, 766133278, 925335001, 261580448, 487355484, 395538348, 117930219, 419601748, 475634067, 671184525, 276454446, 78836157, 638263388, 14933760, 533073125, 231288575, 948878832, 521165023, 219182772, 7816096, 58434354, 738294610, 601400928, 502409390, 139330536, 104265080, 760578555, 289141574, 666481811, 477865324, 765546483, 167353989, 281862569, 164836432, 326949968, 992394590, 484755863, 261339860, 884945072, 991226987, 849299889, 103312384, 676566652, 611663090, 500238707, 405924087, 434854045, 375728396, 443188028, 247909028, 681248163, 520568537, 746173706, 871012858, 123196665, 80291871, 231424919, 245773292, 120326785, 483431738, 206735911, 705494418, 258101346, 589081226, 238546689, 724522547, 455866600, 36884090, 208620713, 646876678, 636863122, 919820500, 962138799, 65024136, 938163587, 740764418, 771308598, 804687401, 371488709, 82211194, 996131667, 123631037, 179351493, 157282064, 975598215, 717449574, 814700806, 539394511, 365985310, 756708917, 888967856, 373365499, 305980342, 225348052, 929194678, 610705307, 211098695, 771819106, 263123564, 711998233, 52320014, 595787038, 273241116, 466831716, 385016640, 556643335, 726987307, 746062282, 736406683, 921367943, 785642029, 31326659, 145228692, 415137177, 737999878, 100571572, 178792177, 499739869, 186880494, 596467385, 970655117, 521656287, 462513197, 132620834, 387744314, 238651287, 694175528, 70184414, 519167856, 522521537, 2005858, 218767832, 680742007, 438257374, 76817528, 688452568, 895354733, 918866191, 7318798, 609268671, 186245199, 603551033, 489650150, 840125047, 296496959, 297448780, 242646618, 510733932, 590619730, 667547869, 358480680, 889204903, 623045270, 217094185, 235555929, 742665461, 408497822, 337635002, 965559064, 685412141, 459111378, 885024629, 460239279, 5275609, 167669090, 81206502, 111807514, 506352447, 141729644, 79543454, 417294650, 894618098, 132839841, 767973196, 233992958, 712019970, 100635612, 357774572, 117741945, 864258788, 314356190, 537802534, 686656167, 722712393, 81405732, 518593552, 722854357, 408540965, 254507342, 788627036, 158334603, 443525180, 620505678, 517229011, 809220119, 231034807, 134266248, 313223891, 328809813, 79067639, 300355335, 202040856, 371687074, 581700088, 849877180, 57248930, 791248509, 185817881, 671496747, 203529097, 10908228, 632668273, 434867216, 857392007, 107665785, 591137820, 3457647, 640008124, 656690000, 680937823, 679996340, 856842106, 131105789, 905995003, 73252569, 290244745, 844528600, 473319890, 602018894, 98436196, 264942163, 272478100, 946681686, 54353880, 822008960, 825171091, 137304229, 520827470, 470341839, 742372521, 562173570, 589302737, 22596466, 145674450, 444869534, 130331603, 965804630, 462788376, 593796803, 629873139, 113830036, 138624301, 562385004, 330492632, 274627018, 340715208, 53375996, 616817622, 420492159, 166972126, 980686687, 11864210, 678297785, 811962436, 175046252, 227458614, 667382936, 541147984, 514755933, 130355527, 392069061, 496693252, 733930050, 337945022, 509805981, 848100440, 18761095, 111160059, 737318808, 221722521, 482226709, 181496172, 793850136, 172127868, 751755810, 457577469, 763562719, 540089068, 225930282, 164908279, 39937272, 992340001, 917459431, 237904607, 66472213, 95176975, 562097284, 667616317, 172420928, 184147575, 505315245, 696228224, 647580524, 619570466, 912909519, 331284995, 548924687, 246699567, 564260391, 431793115, 537509031, 5092482, 970987775, 424366246, 560858810, 946022098, 520062930, 749339692, 540877886, 746572627, 114133095, 749392516, 16860316, 810445549, 301546279, 210908134, 972602750, 544317778, 922234798, 763715953, 51793920, 231693922, 699194813, 328712687, 675769966, 770860114, 21887398, 308181865, 113473133, 384811424, 944859136, 597676756, 941259184, 354562037, 962741347, 180379369, 758900544, 806343119, 146666667, 426910382, 532647178, 273309101, 829716007, 882377450, 432108257, 389619105, 234685509, 596005058, 109103774, 45512734, 763657892, 628550407, 377680891, 159883702, 145768788, 473122713, 762276165, 791794601, 496248877, 998262218, 58723405, 441605100, 972663438, 816136569, 961695276, 660726364, 149536649, 974695146, 46248201, 798781321, 982115087, 978781286, 603643482, 502812608, 919781707, 60725272, 387210601, 618470497, 508235175, 573015316, 63599787, 592138958, 500608861, 818917981, 991164358, 830669907, 403706840, 985518779, 626947546, 308275356, 929851297, 328485766, 986034355, 709529008, 545511116, 675471861, 185170364, 68369936, 313645790, 455534672, 537874596, 836721303, 768564597, 971112960, 431213377, 86979324, 69877533, 67043743, 615570859, 162488353, 915923213, 24833089, 737741332, 580491192, 128691197, 380957538, 862869118, 807503123, 355051218, 36031037, 508249730, 4497248, 990922003, 489594474, 327302059, 468795969, 12613873, 183490612, 776918793, 814735371, 888471277, 318111325, 856392012, 703498871, 585142103, 392008124, 643649758, 731378783, 601952208, 314300299, 463033312, 574278617, 123099244, 509136559, 22539099, 13413800, 745656969, 928771153, 394531939, 783924753, 271982955, 834261322, 945961670, 398133718, 291377161, 731914184, 355139025, 441598564, 175150545, 509435909, 906650728, 925837964, 277877668, 816521268, 113311795, 161729781, 792107286, 525434849, 225182811, 986834893, 508659945, 762347912, 890287352, 584048637, 907244699, 118205212, 268103601, 171416042, 79742277, 552115615, 482979511, 593772893, 5068208, 836135129, 422920176, 20050101, 383807519, 419879565, 455943056, 651636323, 758753484, 411395313, 292445010, 704600300, 420861918, 799379751, 449538926, 81295305, 928690853, 722011020, 446697166, 47538366, 858989284, 198063068, 462564550, 183519410, 779940492, 205671995, 895155875, 529054893, 446239514, 199157217, 518257111, 396114126, 68563814, 874921879, 736323592, 441584109, 65732508, 348190076, 326245510, 226414391, 225689536, 148128704, 940827687, 294773386, 379081324, 871315023, 356943149, 133004656, 737776189, 240591746, 11156653, 240973618, 955292202, 294499230, 359599684, 496133300, 833820808, 783928834, 294607360, 736858450, 431169489, 401522594, 463403692, 476888642, 471793753, 606662505, 423636130, 433149478, 136686782, 390296992, 564776675, 418098783, 146889284, 537883423, 305493804, 785934757, 187660481, 930545770, 983250812, 925917079, 513152098, 532050797, 805380179, 908309857, 345686684, 125425291, 266242629, 62889205, 806457212, 945499116, 35879420, 434120915, 682346695, 526255071, 539963819, 596174073, 631654580, 167180270, 730795208, 714868912, 364768101, 309628853, 827484660, 506982923, 791570877, 159532933, 475634968, 172958200, 526137436, 414835473, 593935992, 232124616, 354405078, 730163246, 38665014, 147711594, 356481243, 935325489, 192349232, 130024821, 488412762, 989165625, 977898574, 284523049, 89357299, 237356403, 1527762, 373057482, 345785965, 673141922, 664997469, 9845404, 239495077, 68845102, 357835869, 721149139, 927753384, 172578787, 245734052, 743209878, 417669399, 826515189, 875916799, 824755926, 90763637, 950111811, 415328260, 414756725, 800640977, 680127208, 102774729, 357160509, 338445309, 322849954, 350631204, 157135219, 982150301, 642257214, 214308629, 726715764, 436555339, 561180237, 253118780, 186774497, 631240209, 861612728, 962405460, 310351171, 474040803, 199609960, 57756402, 482733128, 940916274, 127583600, 266065977, 160253772, 966547415, 664172956, 508345748, 997741474, 604685218, 443873540, 318438316, 919802939, 592839954, 831450338, 452756860, 74430138, 764054924, 108425985, 688645583, 736918715, 521394149, 325645175, 374035690, 827944461, 430475951, 179184865, 481158399, 970058432, 93520511, 97257965, 137602799, 748667640, 338327387, 69368916, 151879537, 532321217, 995156585, 605886895, 173454269, 894405403, 275909606, 696258561, 551794779, 134088996, 921268720, 755899823, 670951680, 660248940, 571176837, 318654231, 729244383, 89591999, 76668422, 557667945, 517952584, 693197222, 142054279, 824583944, 339182415, 902197269, 578170545, 517071793, 107756137, 910319728, 108186706, 652517552, 943389504, 679664199, 351134214, 866141506, 695090336, 381582395, 241302379, 512158508, 498921022, 467515942, 516966699, 97958864, 584039673, 92911284, 421915439, 932381060, 227247835, 630256980, 755597990, 300662031, 834880969, 502878425, 878772216, 382464202, 410564427, 882937539, 774035424, 213214061, 955445835, 606560688, 165827270, 118841858, 427876392, 426707812, 285566898, 17592272, 832166691, 848426341, 10485695, 948850914, 669931590, 776991342, 743580684, 125091775, 211311874, 906249638, 67900676, 55538096, 251908071, 592576792, 442510483, 418665084, 59821538, 352956732, 706234830, 402660839, 744793216, 905542122, 182797697, 369020518, 787948633, 720842438, 405663671, 543045805, 252867354, 773087928, 410072448, 888168454, 361539234, 796373583, 460281799, 948544634, 89122264, 171737134, 790003949, 405745833, 646528811, 535999454, 728563231, 47172722, 934568870, 505574159, 499248629, 730208718, 777213835, 160939827, 437210596, 296600448, 475054581, 461567173, 908728238, 706154383, 690270470, 923797952, 654168770, 824801377, 590454439, 324316702, 746059699, 629890079, 148859080, 289153751, 542504294, 853884878, 614867754, 396440219, 47330225, 193068917, 732115039, 85581227, 655192194, 627934413, 620243179, 245329978, 289676684, 127839270, 714073460, 382362263, 742014382, 297125342, 889770224, 920630135, 894601449, 487107235, 354687789, 715960342, 370469297, 732283027, 125082576, 953829476, 997853643, 454594146, 470999420, 378181663, 519186829, 167145679, 988218119, 406512976, 570465032, 141144173, 8314213, 979870996, 173186069, 322376416, 238544927, 460199310, 286894443, 517468391, 117630339, 315988658, 349101085, 364918043, 990873650, 12654796, 488556705, 627482707, 603343210, 460697828, 497388155, 439226955, 814342221, 250171005, 892520764, 855103887, 454432090, 657234319, 207140674, 528561702, 319680754, 130833035, 593665384, 883477392, 968904449, 646557904, 186957500, 684109809, 592870837, 777771883, 776795938, 789660442, 236073132, 349863627, 532213347, 927142953, 643496788, 332154261, 907340648, 782908281, 470654992, 920993589, 847847271, 121873692, 332850311, 338862278, 578878832, 106135192, 571310506, 798057182, 335420646, 619715819, 34820268, 465354077, 223517842, 113369403, 38206018, 815773300, 353944934, 821714651, 535479512, 138563145, 997699381, 143316945, 787507188, 758688684, 493805656, 729220263, 39906807, 970813322, 733748031, 341646503, 471093151, 292451775, 188349683, 736618190, 464505831, 389625868, 625361156, 991443089, 878151510, 55888442, 594152939, 12494394, 339373325, 958238469, 357084495, 541280896, 556350947, 865290887, 660898378, 890066179, 637263677, 862889353, 890820908, 599086340, 394909081, 273747662, 446477613, 889416404, 653482764, 874938425, 115291359, 58732885, 533469315, 845346093, 310247608, 151972838, 355275116, 583381789, 201815586, 693824831, 220353018, 25968025, 157346556, 568993587, 745767988, 232416049, 664894252, 423906825, 751886640, 658681857, 579195005, 170490400, 838846573, 205966259, 278316866, 939319474, 773795755, 117211327, 446302078, 719363665, 111195129, 108951313, 975780548, 997663798, 596688878, 186611091, 527306372, 950529752, 275895953, 53409520, 890970779, 618243460, 200925466, 536279771, 997873588, 187702893, 861936503, 997488926, 246271163, 599166785, 786380875, 802187158, 470812596, 470567163, 430011078, 808624719, 940715203, 95160261, 774261935, 494215562, 665245754, 289552077, 128092541, 938645517, 749823126, 309402520, 227027475, 894768091, 120245482, 839935764, 721698797, 165846899, 96538926, 897092232, 58377861, 854437709, 734047029, 54134707, 241154724, 739668748, 672913792, 478958172, 229884339, 706416642, 219066762, 987781653, 166133913, 209825807, 697715994, 330779143, 547627419, 704444116, 152044971, 754197169, 214086460, 871917310, 274437444, 410004769, 214828452, 895936299, 649942205, 778398893, 411566421, 654401003, 887756481, 952211613, 272426064, 739438646, 864260045, 395060153, 651949643, 975774067, 648771106, 395611592, 609966369, 871801698, 778167750, 916317463, 512011068, 666109481, 907972724, 11768846, 553132196, 550624824, 198957339, 425252375, 35595768, 577997037, 725911448, 693563862, 4937500, 217323776, 783574472, 581035139, 697595682, 541928388, 207331809, 10528246, 816036631, 258632450, 36189794, 205269194, 604048001, 284862093, 121100828, 739846682, 883391181, 642894820, 669783298, 227374927, 918462784, 696525062, 409548938, 27397397, 524570189, 330278584, 69438076, 774720248, 190321577, 744040611, 739490484, 903941854, 854955435, 582335013, 214135089, 104040531, 5259239, 770918722, 478552077, 611592488, 210109870, 127206871, 655958553, 585914036, 634870727, 740693186, 459438391, 615806311, 317352958, 906714971, 472600376, 214328363, 901165102, 246550359, 495070362, 491992279, 846202946, 266907329, 828421802, 818737528, 952886501, 189269502, 896928831, 78344931, 551986206, 453316774, 346665261, 797451291, 395231582, 260670970, 883055220, 774812666, 627056990, 686018843, 173843287, 142297782, 603805165, 923471312, 527338922, 986850229, 645773593, 462806468, 366711049, 858404732, 666246775, 19728500, 294911667, 149831492, 351382310, 669751995, 186997274, 766824519, 72249024, 44430075, 541375988, 949432299, 421180942, 872378599, 852716712, 477806186, 303201264, 450189522, 180176349, 617860906, 269029013, 807272582, 109078354, 549804112, 504483761, 570220036, 961246351, 95140550, 521457389, 936128962, 678132915, 432014259, 840953601, 304212276, 28316936, 983680213, 715789277, 991105077, 785147537, 419999752, 250345589, 722605857, 628411635, 627622318, 37703820, 196082842, 818863697, 120001885, 172838216, 180400384, 195249769, 658073595, 189541805, 973996132, 465349113, 966926666, 681566038, 562364524, 279661709, 993903829, 502226901, 525158704, 180172612, 731044762, 491604204, 9733311, 160829924, 382645562, 673690856, 256056606, 865875092, 704435027, 316220615, 437576362, 178235074, 876840393, 474872524, 230140121, 180873059, 14121867, 11044191, 125982327, 111080628, 830931203, 346654760, 381636351, 182088576, 939211120, 383740565, 955571578, 952435280, 536286369, 139192642, 541100978, 902873727, 866002586, 359274987, 914634977, 151081015, 407103355, 261833189, 629620720, 665719100, 998463848, 181325618, 872779980, 867829061, 422441638, 495725118, 592032780, 417970460, 579928173, 877817931, 106290997, 717269259, 58900671, 817418104, 640380163, 567698976, 437298919, 859490629, 197598389, 523660651, 222472653, 612611145, 271865376, 693853853, 208104193, 156108307, 893739819, 67998836, 431898785, 963230558, 550080832, 457933133, 471825027, 563964247, 967407438, 658896042, 488310086, 983488917, 683191107, 190417544, 87324813, 57241675, 226741342, 12523918, 756559064, 395024800, 429208749, 52913037, 503797309, 17879225, 354032587, 359914191, 598191715, 583338074, 85104603, 836253297, 555151306, 178505156, 27405871, 473720620, 475452424, 535930132, 613348063, 812280582, 436480941, 564624032, 35462251, 928753687, 682999495, 502946546, 300705276, 91933735, 194048327, 43741771, 465567751, 297755975, 729761980, 782762318, 634039038, 233419873, 858630959, 461863856, 354375560, 224080945, 681538862, 141580372, 951561499, 807826395, 395103570, 582544384, 354794434, 784275095, 938822298, 890183321, 847073222, 852285850, 760197151, 994335122, 307821300, 867574159, 25033177, 330790694, 252964, 229801110, 653647795, 665888536, 726104709, 528544429, 979057446, 228588398, 120373773, 935331104, 520646510, 949894265, 176545213, 501395480, 588029964, 45041616, 969672256, 986313592, 96621476, 807171205, 599046826, 492871089, 475801315, 867010667, 301250337, 158944538, 939039233, 866027003, 323942634, 95505376, 867207722, 589580336, 424295263, 419535757, 169073176, 558294184, 256464261, 820852558, 48074509, 941350327, 719175369, 958584502, 79571628, 573363434, 673003058, 896671424, 341127484, 500237726, 550658291, 724734946, 778747581, 324791692, 914014994, 19034269, 516628774, 464399592, 101548733, 678702314, 796487595, 480099257, 817185108, 544518124, 539625709, 179953146, 768581955, 921985621, 565873045, 145973515, 551707100, 440641639, 67102758, 376529953, 994072568, 672757942, 165144321, 247230159, 319740056, 901370681, 549904836, 512221415, 234924409, 960394843, 231057882, 257924299, 760585219, 874538056, 318818325, 484671725, 188430217, 16383767, 374829728, 13994853, 714106481, 852568786, 549043724, 462491242, 218596678, 216563368, 754994128, 288992621, 335176735, 603469568, 900906633, 859908452, 726452161, 690766078, 690623844, 3948411, 262217984, 211791453, 230830478, 328037297, 371781464, 298281271, 526469479, 464900742, 898678115, 525921895, 875706489, 571867960, 809757355, 640392801, 314182298, 408264483, 709739868, 272625843, 804220068, 997829449, 820667808, 984975374, 434094896, 472843342, 988246858, 391824861, 942211323, 962949687, 609588325, 464205437, 159089412, 497778439, 150595707, 801298767, 379488945, 433605679, 181123815, 401563763, 664164585, 124955801, 919193945, 986232291, 961626928, 152728533, 102282651, 507765658, 94169795, 929683763, 659437654, 405719841, 931028985, 19690189, 350954787, 599495668, 523495309, 211663620, 376290070, 967172594, 938885688, 625692791, 551453640, 95458749, 331237285, 779413563, 102917623, 471574875, 2990259, 994346371, 950877142, 684969702, 590754569, 809556027, 944601190, 723121467, 732327085, 261683588, 298568299, 733176961, 180637927, 388881275, 652410463, 196052455, 394881676, 12409119, 546500116, 429695008, 84930751, 398810167, 672366618, 109294807, 758703386, 291691830, 779401424, 534995317, 861826117, 235394545, 115705260, 935581145, 692060362, 471005276, 833513897, 92224663, 942919201, 846986509, 858722058, 853214023, 20288554, 896909347, 705814227, 644941594, 501149299, 139942743, 918974085, 941879232, 907738629, 381885920, 936949593, 789623534, 831859236, 844461341, 244128135, 777521232, 392369366, 519717987, 196334833, 654043504, 800316207, 381708954, 408502590, 364760741, 295798822, 471704797, 157224673, 395988323, 52785729, 947755677, 207435779, 721988696, 517858146, 981443381, 967816489, 771388873, 168961272, 813931488, 798892198, 145383069, 549099626, 368304867, 685290692, 548812448, 346431389, 327340608, 195470042, 501823481, 720978970, 53003467, 188990822, 67661121, 995352031, 871792734, 558813346, 292858488, 897358336, 388871295, 715908016, 955842869, 42133877, 848011477, 598437631, 472523095, 935212530, 835856962, 761930488, 425755983, 9681735, 945728646, 624857960, 876623440, 297924908, 141609281, 305202769, 783074460, 592483743, 483650675, 937134075, 929529045, 453049415, 332716547, 25891933, 43298149, 620189402, 740182449, 804203390, 961154528, 485205369, 543414088, 911961502, 384008312, 636079646, 860103778, 268879414, 196047970, 532726830, 172773709, 709103162, 383189862, 130184298, 608583098, 941799322, 55139063, 37863988, 542154321, 825326096, 491983144, 692907788, 993944855, 871788197, 519285221, 934486987, 549449865, 4136852, 662737433, 494628227, 336108695, 681379274, 215548536, 971637643, 653171883, 500888915, 156376863, 833319174, 901418676, 124658927, 890058062, 681677509, 49856722, 109878491, 146473580, 988813651, 502367556, 710549523, 173844269, 565962839, 508734931, 656755234, 61285755, 449760921, 58444106, 834322306, 940832309, 674443005, 506473316, 148902852, 219085746, 101005201, 851116813, 76998774, 159569609, 172637413, 346744429, 288354669, 737034367, 795616791, 660786867, 946349502, 469048460, 924167714, 633339066, 672676287, 583537173, 46853181, 436623825, 381270508, 981342049, 552166197, 216744960, 49924696, 821442705, 91565010, 818880137, 749544345, 6383306, 805383169, 36380130, 552742605, 665308867, 889021708, 320737691, 984907707, 989295754, 712399271, 966922214, 651618501, 760600576, 237790158, 541480644, 352873768, 212185443, 856638777, 731997101, 87243773, 363863470, 317091219, 868823383, 22041901, 776412125, 866381354, 954261885, 925067148, 76869787, 145671420, 871346165, 44628787, 184775451, 209128476, 970342343, 505298592, 891518382, 437767620, 425395266, 573576230, 445213238, 338394821, 493976750, 840066155, 191063403, 424038545, 823052804, 715153154, 60456180, 688565747, 109490869, 997141523, 100854523, 722908753, 545031224, 780775759, 801197772, 890615662, 489644866, 949703683, 888629689, 592122628, 613528642, 308896844, 531845230, 452357088, 836630425, 118629843, 427925568, 745084968, 852691336, 555071334, 978013444, 483774537, 487160899, 868906818, 142050346, 341462793, 351128587, 323290699, 306523382, 208828127, 185375249, 862042214, 125334925, 877453024, 310587611, 583690444, 43994531, 30838351, 973710608, 93936280, 65494224, 3059885, 549639664, 947295929, 927061134, 482091306, 337345301, 386979688, 417058477, 250988759, 683397464, 873979134, 140318905, 33763854, 465597417, 717122705, 185107928, 50901857, 639268474, 637173356, 937258188, 16477705, 455804326, 380687028, 36424122, 331699849, 926817318, 25695671, 744359055, 680960917, 608377789, 319923038, 194026819, 715230264, 103545495, 36101888, 173932070, 376050809, 780598189, 656912696, 242981346, 614656577, 473697773, 523181652, 112677835, 702589236, 162765979, 159950981, 700608055, 811710652, 741812727, 562652964, 155836630, 711650664, 726208376, 307306791, 381398893, 469695914, 453779125, 782779644, 779947304, 561386081, 563659010, 467524582, 349788050, 170778200, 4798427, 70060982, 827058942, 549783419, 843405480, 597589910, 758510542, 729927733, 983758977, 608240097, 368453686, 398547407, 652349651, 138514395, 280901268, 998194101, 306671114, 237518443, 80603323, 64722467, 189117823, 74056010, 866272455, 57054978, 174427826, 376469395, 366106917, 414626613, 936557367, 779780365, 72767552, 215732257, 356031807, 431284292, 430455360, 231451542, 832888694, 650609490, 609818692, 549688365, 19463480, 847723999, 525224611, 247519092, 862926659, 105574295, 889755444, 540676380, 617771682, 211357184, 205732607, 457504712, 260717587, 889434271, 205709759, 344441039, 129472903, 133437551, 847553136, 147089818, 704646622, 718128711, 588113305, 470295204, 378923226, 837622064, 160341370, 883110304, 956199565, 863899603, 386961488, 364735922, 856703585, 699280985, 340839047, 287812156, 50068143, 25493241, 953450383, 526351344, 617855218, 677721453, 56794912, 131088625, 917961701, 528390797, 688848881, 555199129, 707701594, 13455631, 963468477, 97831921, 99289752, 677352202, 650025640, 491151110, 278048345, 851649542, 3107482, 295348994, 125928009, 678213983, 180328979, 293999008, 377506103, 941109334, 927003839, 151861142, 628873225, 304412041, 815208724, 767090152, 2474284, 243670433, 336216048, 861487777, 414176903, 419940991, 378185616, 657160804, 562336874, 420523131, 316932479, 276796562, 993692444, 894531252, 145796408, 897773896, 208681567, 129196062, 632092606, 284308825, 917716509, 480071796, 418240530, 859573468, 524332371, 143112615, 980193191, 654005800, 444761733, 427093389, 492974617, 348294626, 859616637, 817169978, 617817979, 811887444, 428027005, 849967980, 884838188, 42929348, 582820864, 506079404, 143304826, 49296127, 844058675, 260262069, 843482654, 767629508, 819763012, 201542778, 363644238, 141997309, 774549031, 72990924, 116492822, 10320265, 366920074, 344871228, 130564507, 329504388, 458310793, 642742244, 726827596, 682059533, 841348957, 780434704, 687388347, 360585267, 773623453, 430355228, 187438488, 264499845, 624065369, 848474908, 371850479, 696815207, 182411318, 317182729, 284470722, 379249476, 630959884, 32012846, 500462613, 584258606, 264462129, 422237347, 655691211, 421785122, 136121803, 720820779, 782006883, 99888898, 260525395, 719634253, 390044503, 430222316, 363457715, 370375745, 110098847, 671030135, 342300088, 18528258, 942360912, 884526208, 190492382, 836003864, 302244646, 865833473, 145228817, 910899179, 22744425, 269519121, 664379403, 904804063, 249620618, 75687839, 843520966, 897303851, 264141553, 142510450, 917225300, 233402874, 329995862, 963004055, 204520942, 578037147, 815739174, 433493933, 911900922, 654327418, 275027410, 254258158, 724002985, 737528494, 811491196, 797984038, 126132856, 96234813, 473972539, 316901348, 337120643, 520582520, 41603988, 774078059, 331587006, 348582689, 699473440, 752141438, 712906850, 237644881, 142750714, 527777006, 671723505, 765530950, 953169370, 773189990, 825256070, 527368982, 122951971, 941756132, 509167698, 160485394, 936979955, 771645485, 391931163, 63299770, 556585023, 229996205, 52988186, 839997818, 512390062, 341261872, 863979062, 538434329, 497622200, 914496046, 614670183, 777499037, 85139886, 799488085, 52079430, 578890090, 324125936, 739187816, 254937749, 986143171, 844910916, 83315336, 712712020, 221127749, 51366867, 373281186, 964189859, 231016679, 778424169, 384316069, 424359574, 936045006, 848616460, 439421270, 763090471, 604842303, 363431762, 593796959, 402591654, 396762957, 213878019, 799351813, 509303809, 584983380, 331924603, 169401937, 222619905, 559630831, 428165382, 299957767, 34645508, 20128900, 68282382, 353416168, 837548468, 181498752, 476282713, 116959082, 902249785, 8631364, 992111516, 82785477, 957530330, 823898854, 520318089, 278185450, 98295329, 80023269, 26609638, 202668990, 55603010, 858851965, 260801570, 550334361, 936257933, 248344387, 714497033, 353396804, 385117010, 817156054, 770763601, 603701401, 549164984, 954218086, 229764223, 493760926, 593185711, 232587355, 182759259, 727195346, 214543738, 250597143, 506022558, 440880148, 374212279, 356418379, 609598688, 815045745, 900495814, 132359135, 68320377, 36710695, 799619518, 494630134, 5738574, 162387505, 49157946, 545896461, 74357794, 257705681, 513501848, 565034013, 584084359, 748979883, 62330496, 101222542, 424976340, 884783876, 76361503, 259929118, 677008362, 926837112, 580999288, 859217496, 229137028, 652600882, 122319421, 268563734, 469597034, 590418710, 151882749, 308664931, 99731046, 505788486, 556986742, 714325422, 190502551, 608150650, 634601220, 589167605, 189202151, 994649860, 380999955, 954431847, 403276848, 413842015, 972021025, 832419937, 575204643, 26067307, 888102767, 139456010, 525678981, 121571568, 144193895, 906225997, 260385839, 844198581, 745844384, 826564854, 919329275, 582131740, 224250162, 745932159, 84219221, 42846950, 486651629, 426018424, 124464468, 432805501, 79924687, 501804460, 586591774, 344808066, 147151415, 572498893, 108863255, 147357739, 14366754, 601802277, 796895212, 914905525, 841506017, 293747645, 35373934, 376123163, 95217170, 308437615, 783503681, 998162965, 190980836, 641266167, 852280182, 966931394, 309258747, 695453846, 287652140, 223858212, 992209630, 94147104, 361441952, 22605574, 438323800, 400281101, 802606360, 376793343, 958379093, 927558480, 535868973, 329557549, 801872412, 38150049, 195003594, 916630083, 286466150, 737390892, 606641354, 426585630, 565985347, 973108567, 781356356, 962670911, 827600663, 67331812, 861836194, 228739495, 468172255, 311896983, 597461665, 488068311, 809403629, 988410607, 720096800, 442082264, 656228184, 99358845, 832025788, 376492407, 422228584, 396643070, 871679345, 697614674, 645517781, 787225508, 126111790, 653809576, 250475332, 127473135, 859116742, 948540187, 135012986, 833323750, 397988628, 161893085, 281491662, 804642097, 598457249, 822335046, 605933812, 633197134, 341502307, 956716904, 796842750, 565770801, 826128462, 95802285, 309096821, 972342455, 129161982, 101161909, 672986238, 691812761, 200725169, 411954294, 863514649, 28880886, 114645038, 703796868, 549348441, 365672409, 471706037, 228006082, 486667973, 550654979, 735987513, 395420032, 789205378, 161588703, 619884215, 738419330, 207368072, 157505286, 425590061, 957343174, 788938, 81456874, 419409209, 139954056, 97447982, 499537342, 261101738, 723250597, 17696619, 12680933, 326469800, 388396407, 446876457, 916192588, 821200177, 458448645, 840617926, 50455332, 354589093, 493979499, 144694805, 861876947, 520300929, 340875484, 381047745, 596528919, 485306352, 139275449, 423724393, 861508975, 833733028, 889676073, 879561657, 846196580, 722047162, 805016700, 839980764, 257075054, 775394094, 618343924, 188470059, 844108754, 649570433, 674593535, 586700846, 258535941, 325435871, 423533607, 399142853, 874790175, 948835757, 399442623, 434093995, 926431647, 564065432, 70254189, 370557007, 948726596, 703544544, 725446729, 340351407, 734053213, 476640420, 904274215, 480952631, 595979028, 615412581, 711144110, 187467392, 700723780, 153707502, 895233753, 653328063, 849338549, 138808446, 689824497, 455995867, 110694636, 468355011, 427544718, 947242223, 447366106, 130029087, 183620828, 435276061, 342612835, 556060591, 548123850, 227942832, 261492794, 231526572, 382854050, 852389611, 726153043, 184686820, 869838656, 162577538, 802855948, 738745671, 550407781, 511825640, 840193591, 503626172, 789066659, 994023357, 937883637, 433463109, 645936087, 291366906, 783520790, 74270484, 872590262, 813937277, 517592880, 692567856, 536926783, 721029924, 27483453, 196955855, 452524233, 431853363, 592280476, 265460841, 721300733, 700931361, 914001146, 404598740, 861410849, 186515822, 153627537, 38107317, 420148217, 827778972, 35326955, 448851653, 571974484, 727137578, 190896949, 364974602, 689262244, 777971518, 801973584, 17447993, 23684652, 271612881, 418083423, 726280579, 842912709, 565422649, 255804624, 187928002, 917595447, 865306980, 983108208, 704760819, 909968513, 476819294, 67774625, 448482247, 406396398, 806953688, 603544857, 388456644, 308737065, 581572923, 517441962, 445764545, 423264982, 323027899, 319134817, 339235596, 180226258, 159888800, 743480173, 542243203, 527574816, 769906810, 623750967, 389691637, 702127127, 517334467, 571722997, 723164669, 367778949, 820809271, 443964397, 522681718, 283609211, 972805771, 661626676, 555369976, 769151358, 146916022, 653959841, 12015911, 803910786, 653777218, 736444695, 146685274, 66263252, 577224202, 662245917, 786425611, 97939941, 278258589, 182954927, 18715589, 162725601, 155042315, 82310641, 151374829, 863401897, 981634624, 553317149, 519299408, 667284536, 98212715, 631135724, 298127538, 477714296, 521442947, 199753889, 356712791, 671669564, 859887468, 670507452, 721153508, 902488555, 281847599, 938831552, 876253231, 250253351, 387291702, 722559024, 876937601, 420741590, 955651913, 372644066, 532134521, 788351027, 720982454, 130677215, 109410504, 508826207, 353260498, 768011614, 213014952, 903377297, 447432676, 251523640, 958564178, 307430205, 824279056, 714737156, 496845458, 954002795, 770108817, 540905437, 784952696, 529652935, 881489397, 887133983, 123074812, 863516928, 110735561, 29989082, 191361343, 47783934, 412487538, 261055180, 388773056, 831107117, 376121253, 147287402, 760042206, 375219033, 216089443, 224946496, 315405637, 616760797, 964243871, 622690833, 605885570, 739258270, 3930110, 334837781, 802932159, 842989391, 833622698, 293594133, 20287036, 391639640, 665600725, 359923715, 604204048, 168393254, 123861860, 535219963, 841746944, 824935565, 369317863, 662866662, 110136628, 532413379, 166737499, 509307705, 963317816, 470058354, 227197367, 759725090, 646207068, 64904471, 187636757, 671496799, 327041288, 221345116, 574182298, 992331287, 749797790, 52442070, 195573730, 176004801, 404654772, 484934916, 752177285, 687539380, 536449354, 99964167, 538042143, 600593653, 624206249, 843251481, 667125250, 456858280, 858647288, 543837960, 941373583, 504012598, 939245967, 845227356, 620577375, 470174870, 642485268, 260431968, 75697703, 265392296, 137634893, 200386975, 981992598, 673936139, 84448399, 296639284, 325065381, 91526006, 759633842, 350866379, 175727528, 511927278, 949695302, 523872457, 675612590, 950747029, 287536676, 317031973, 242401952, 142082045, 470213641, 658133990, 411420987, 597566633, 116157837, 400075732, 869804688, 282920082, 86779910, 345256875, 294931689, 230041975, 489296457, 507276130, 209263102, 546005937, 384231392, 490042551, 393191006, 770263007, 855322551, 944684031, 992651471, 958002714, 545058638, 631453321, 749608603, 530857658, 510359078, 104988700, 616364300, 421457600, 177569433, 231439643, 925839259, 674552087, 346749470, 163689591, 28255657, 924685811, 520927990, 249026079, 854322762, 113194213, 390314545, 582924153, 138614392, 159687754, 478913799, 633543241, 198839467, 795615262, 831290843, 61355001, 863709214, 382434826, 755954744, 32098311, 600525031, 518538621, 872820188, 573257189, 708383150, 648444315, 167648458, 428416290, 590500629, 857710063, 671088856, 845575655, 579032221, 509874410, 237818213, 971497660, 106069459, 491136313, 162112187, 773150942, 633878989, 72861605, 260439158, 644478135, 348164382, 472355008, 440044106, 536599941, 918639187, 137275782, 197295365, 181818045, 49974107, 324194603, 890462736, 375509986, 359963750, 327678415, 310572219, 721213250, 541130480, 781862989, 873319827, 204385268, 753811477, 368057894, 155654069, 152204768, 776118664, 605027847, 97684496, 478753959, 886807790, 506010449, 718653618, 510379861, 245033329, 619441329, 558213597, 288276221, 184073514, 673066840, 25003614, 546121331, 821555119, 913528783, 655214908, 999119221, 452741779, 74286160, 437258386, 812724685, 672301546, 429163287, 558216042, 320245987, 567006544, 349939067, 140622042, 798631477, 94093233, 355985362, 479009390, 913958702, 424386897, 514171340, 740175870, 679049514, 738354630, 700965574, 328225497, 872369797, 124920074, 659699380, 19741898, 176524296, 810970903, 589356117, 482661217, 105305244, 746566901, 789469440, 677706042, 194890281, 253528370, 397859137, 770080761, 236334065, 87948780, 99206944, 722161690, 897947100, 240769076, 598835286, 600921808, 238244315, 872557392, 483424546, 596154945, 675606989, 628370739, 529572462, 23699032, 652857066, 336137559, 359768599, 499057424, 934946367, 960779913, 528437328, 897308609, 734105908, 366963058, 433849598, 422068143, 973174747, 807166647, 311646721, 131692434, 126981280, 117469648, 702585623, 312063105, 950598783, 436053434, 553680247, 991777645, 781768666, 357847954, 861331217, 765639204, 769123620, 72584091, 268948840, 147658171, 439073692, 41103978, 64227160, 403969730, 46089518, 181999348, 388227680, 745583308, 933660977, 755735818, 4934025, 936389697, 234270892, 38682384, 645849153, 104101994, 274682751, 241354347, 763819314, 395351573, 591458719, 963607725, 655774111, 868801530, 349477037, 674217147, 882427429, 812742007, 91411120, 56043224, 464914548, 1217781, 391567808, 399848482, 996798040, 32019349, 625182146, 350440573, 459952144, 688897311, 348287771, 904348592, 921105239, 434965027, 148993771, 977813688, 613236453, 455752469, 932400122, 939358943, 694058769, 846062183, 33002098, 796353925, 703485451, 520003614, 82660090, 600657664, 320283740, 843184092, 458604141, 340574707, 63070898, 269261813, 272535906, 107613807, 778371093, 97827903, 311892346, 580174851, 45805994, 472021231, 709361944, 189442939, 491232893, 205639899, 386693013, 576740612, 655916612, 237590830, 196887617, 853949232, 785206377, 669571297, 233943219, 448392670, 222818691, 243953454, 52688383, 693709636, 776288967, 395486042, 533916635, 175065613, 47289139, 785826033, 746838142, 816505585, 227376558, 106508825, 86981736, 814988754, 722453464, 666497236, 8616033, 463514351, 287803623, 427908485, 208754762, 356147891, 377209810, 442206377, 565961933, 692427023, 395522831, 223996557, 41841748, 893250781, 748689284, 360609640, 187154855, 221657012, 36202516, 156562165, 429607806, 934696684, 956335906, 331578738, 581678078, 837907858, 747688550, 687032364, 498408054, 366099882, 777559421, 36577525, 464181836, 258039807, 337526388, 357227151, 138911815, 639834153, 972331785, 951319795, 147282623, 631873378, 199399763, 693399772, 216268970, 123725999, 397039078, 713815395, 813468150, 128537007, 67004187, 592812887, 956169828, 418820158, 840274031, 315199380, 15409495, 161428486, 995586748, 140654002, 890010959, 321572424, 518185008, 991271088, 900698211, 84164148, 553509310, 985762974, 711862704, 553138546, 805625916, 268740984, 78338468, 912716700, 486627123, 839703200, 454630664, 915141867, 361582583, 351099484, 322112376, 207395083, 103882974, 47321378, 781780617, 450713808, 983538285, 430886614, 17573966, 302051260, 450329092, 413205741, 824158352, 443254903, 155710340, 402979476, 817411605, 766802637, 3615041, 416499992, 598212441, 970011273, 233771460, 159084754, 151790844, 222270775, 400925162, 169208563, 545824114, 696850537, 152430797, 198526869, 144024571, 654635592, 982179450, 555576709, 42081818, 542937451, 909268422, 413317282, 677889967, 461464035, 566607698, 734068264, 186216802, 87930066, 916286730, 798180568, 30687978, 419017240, 824184796, 558886031, 714010688, 544323989, 75921, 264321272, 224769730, 107516097, 403374198, 964087924, 565274970, 313674231, 209532809, 918911287, 11445835, 23497918, 582725718, 574917712, 425085520, 965246209, 893871358, 591235575, 545443491, 914922636, 825202818, 427644876, 923776310, 601619990, 90556112, 647865051, 738104114, 729020864, 750133899, 126654449, 658829179, 753586045, 511030065, 726974439, 293328315, 25532456, 392648458, 499944451, 176497898, 544559414, 209855279, 282481319, 120944895, 263471012, 780300258, 363956265, 339025476, 99930725, 591066286, 790053093, 725428817, 401202144, 481723305, 254668562, 454386553, 604517657, 797101384, 428664915, 145954969, 360052720, 624880596, 609091624, 756877828, 70659939, 390864773, 483097318, 492669960, 53553364, 951404996, 37903909, 184143179, 933767806, 735644415, 99139295, 258845402, 351063895, 322464119, 326347579, 66574353, 588891707, 295424150, 209869761, 288600076, 174718425, 360744371, 72787955, 822612263, 771774099, 589109822, 267458153, 370285106, 842358212, 84621455, 527670450, 690625586, 343761171, 640996344, 79927790, 39866247, 863014698, 269214881, 278344691, 475025301, 137643283, 251653003, 740022409, 679818796, 134373413, 714503249, 478220456, 982257749, 688013831, 307420480, 32220480, 676725343, 204137465, 17791316, 201252906, 450152503, 265924519, 930466191, 678144207, 821950395, 230037509, 249217604, 314243789, 724276252, 922733191, 34065719, 466171322, 990571552, 459590307, 507855700, 81785234, 748192332, 861669612, 88486170, 796656296, 819085914, 728824036, 382069167, 613357411, 297358967, 544407691, 149158740, 291161742, 427760134, 517664856, 973333287, 956389269, 836238650, 824134076, 672994535, 492718643, 832839074, 32311145, 529751691, 814623194, 560352474, 356476393, 187721119, 458664436, 132689958, 118782274, 151222498, 551131605, 154817210, 432037914, 336333494, 688348507, 628533305, 373002926, 108114153, 295987957, 816504251, 964029366, 396316526, 427848532, 343756867, 875931463, 368614870, 425407799, 798541614, 448175878, 808622055, 6261405, 463936176, 715212044, 741668416, 662524720, 867534735, 392914339, 237627203, 870357035, 64539771, 558634677, 609564009, 350228661, 885103561, 825348228, 467557135, 273685866, 905078010, 387131968, 129883344, 154429411, 990802367, 499244034, 170780505, 29414727, 621689603, 277739329, 75534186, 624527703, 95916895, 515419177, 354064108, 805069009, 220195063, 67735268, 112523415, 922407073, 592361810, 374737716, 501167281, 697513369, 648299447, 180070958, 377412146, 962150069, 593107727, 116873117, 210157670, 804552617, 506047513, 578565229, 935630550, 912995536, 382797115, 183992634, 328359363, 685854195, 825252117, 850800045, 811468792, 812790678, 908910868, 506843680, 356065096, 239427724, 711571395, 583582385, 715453746, 904073257, 225496985, 767367741, 228803714, 499805592, 378580287, 345934695, 876096795, 204353121, 430907784, 783193701, 272289680, 631276965, 437085087, 410026256, 237748274, 842246934, 105255443, 152472313, 299100931, 363125357, 116935302, 6736630, 265080445, 6505868, 355054357, 713687872, 519153898, 57499428, 125704193, 707855665, 376449618, 66552371, 256199280, 287728803, 617904417, 85505749, 220164699, 542097359, 111679398, 278607329, 546644586, 134907096, 739172351, 604823266, 312562383, 910426043, 245324188, 332699775, 907252473, 296082014, 884002653, 915961653, 395359228, 745945522, 439259935, 632654648, 137902452, 350906026, 627102832, 66649423, 999298178, 453030555, 573887402, 715005957, 25982503, 591598335, 594612139, 557483521, 547730269, 485666592, 920843799, 358774395, 330263123, 769731487, 316446525, 481409930, 763013270, 925371204, 981028867, 164841236, 642528237, 425772449, 500332086, 597729612, 714430737, 883277778, 612213198, 314943190, 282209849, 12388557, 515250598, 139702693, 39059054, 762287529, 164696574, 554882576, 896192996, 99334758, 781556853, 91297158, 823443818, 668876709, 965895794, 611828703, 618247683, 117722137, 932383541, 942272978, 479960950, 882203269, 770173842, 873675823, 295969305, 400110068, 466210161, 568107042, 839524169, 228336, 100621009, 214801639, 612538659, 90078913, 929644239, 64315854, 710593123, 709370185, 532124911, 907943139, 458696722, 140112296, 229030223, 400699683, 24752364, 403013480, 364488938, 972951774, 295936097, 741791737, 181560610, 226729072, 27753805, 720311269, 117705850, 63768219, 380541073, 538276187, 533825662, 477238854, 460913851, 373852699, 291777784, 274910063, 793843200, 69765839, 880338808, 835453180, 891474859, 890652668, 929034213, 162580621, 947834921, 507135076, 154946964, 170811912, 706203180, 538421717, 843925244, 294192447, 768253911, 241972689, 497436004, 29200409, 980725397, 124277108, 157858142, 729182395, 515961809, 323678170, 532244903, 684374103, 135249258, 13649967, 935133118, 322801801, 811400550, 651258807, 502170439, 562602754, 439189458, 70975474, 513109917, 882728293, 490755878, 397773986, 849924468, 234796071, 628914932, 986012934, 418911290, 216210511, 460710630, 249516190, 35673358, 79010543, 151841084, 611259786, 169276481, 13333292, 809762781, 419966533, 694106731, 814417970, 603611899, 150468244, 78696099, 163822650, 845574316, 720412345, 353302483, 217634688, 630702260, 199250109, 364050889, 268529835, 654844258, 318989699, 48154229, 84843538, 298623644, 78503435, 735713568, 344569278, 919420997, 597778066, 133346338, 95974336, 807822601, 739348622, 249968053, 879057969, 981370738, 750605252, 621112330, 695745958, 603712474, 355611867, 899165510, 298961875, 772413497, 893020872, 338184728, 398971757, 827687159, 818788663, 865756594, 573749550, 194819840, 301966842, 766127204, 385844795, 42108248, 547080955, 614218136, 147305042, 543294153, 280615684, 600107625, 955334847, 81887934, 2747919, 654795877, 470778732, 913200005, 539071892, 57055490, 183013872, 696329593, 785034737, 707225615, 653932001, 998865087, 605374612, 295956085, 602348077, 402473829, 403365839, 500122178, 369769249, 658308812, 281992771, 801891169, 988865828, 11468210, 193245920, 95531170, 436102380, 50552070, 906222874, 351919074, 253309753, 839652276, 19438360, 201520021, 116078909, 972580276, 861195504, 711909346, 290490768, 536212560, 704722015, 690379215, 772084156, 671697096, 358355211, 743652179, 963731952, 320025863, 877233792, 260325575, 677943338, 75707957, 618053835, 552011365, 367753784, 720701009, 235004683, 730668142, 38684111, 775629035, 169444981, 521409860, 724377935, 448121513, 341679313, 53332428, 892896881, 513567684, 221301861, 751537657, 353763928, 27342636, 680745957, 632287441, 669232951, 475322774, 319285454, 885857379, 907345762, 338929319, 140759684, 962576389, 69600715, 492402494, 691217266, 358218315, 17241357, 731433315, 100169348, 254757126, 618469876, 549451202, 713544652, 220352458, 8443836, 556905295, 941909739, 539177260, 503135216, 694405441, 802441413, 566731459, 383988326, 36142944, 272739724, 540066416, 223245884, 255046865, 656250480, 401723232, 921687556, 118794424, 870482409, 881272218, 714103337, 704258482, 83153729, 382328447, 507759523, 992883496, 549743073, 838520433, 372842799, 365179952, 174144994, 335959257, 229984671, 146921221, 886831430, 878125842, 102804460, 938494183, 67796111, 446627792, 399169445, 876387298, 276624240, 62695644, 526651118, 890475611, 686009225, 549165215, 727969799, 817924712, 704735855, 137989947, 198412117, 239770193, 676685915, 333413070, 63421847, 343354510, 126073994, 196345710, 352882828, 82081414, 22893589, 410466461, 286179103, 449757442, 867827259, 151731009, 606735194, 980296773, 268259126, 150677143, 134881451, 879598730, 788568059, 728868910, 837385478, 570124080, 371312344, 889419846, 64068901, 102794964, 175456699, 367881664, 737731905, 755248306, 315003251, 866507713, 294993808, 798684984, 833801639, 75814469, 290597933, 43588121, 420750050, 606303656, 884888547, 552839635, 402987856, 831816940, 186448138, 554750212, 317066944, 656070957, 666514306, 580021958, 770345275, 565025434, 91236743, 478391685, 32073921, 894561025, 676488951, 13141959, 725173092, 437793855, 730753226, 220115550, 493308468, 765610104, 244258992, 674614338, 796056104, 695471400, 583516256, 281706944, 911261299, 859176611, 793939201, 925628364, 979529575, 638496391, 221426561, 612959602, 837148585, 953165810, 26455312, 109782014, 578437832, 424990170, 710936478, 793303533, 951183326, 703216647, 894396100, 852692643, 389988604, 441031505, 333911823, 387166072, 766755505, 344422502, 19103269, 790783721, 314578930, 469938744, 338226305, 94389966, 702357910, 397926786, 699394126, 851519487, 468453092, 334432556, 449597806, 134291730, 849456614, 520470783, 848358651, 244680543, 263550758, 888744222, 278588170, 744305928, 622692435, 784745983, 200196582, 908761904, 315984042, 82438423, 694733729, 692476486, 424637268, 264312579, 599433903, 571752224, 492813892, 469771634, 38516569, 743276106, 224710251, 411839419, 61694956, 479579803, 954934975, 94160672, 106235790, 731140031, 471591348, 31561419, 798527742, 169196452, 457888065, 494006551, 129538819, 578454227, 663844379, 106499078, 929904847, 18889698, 271980561, 598215212, 765472626, 69761408, 118503273, 922112780, 545913460, 557029302, 234522951, 75158031, 22799753, 474913430, 245625241, 565990999, 385203343, 196414830, 782604311, 442093657, 360199547, 522874059, 572494054, 850476855, 740555387, 85577323, 643580382, 420428708, 535087884, 394600088, 15045991, 253535858, 5734639, 701735051, 294930533, 945826916, 936417064, 788919336, 287308850, 187892313, 18813511, 466218126, 278661172, 491532670, 307114122, 659121972, 200859996, 413259513, 494398650, 243511295, 318071623, 867403214, 234217076, 688000251, 114715569, 948816241, 84008235, 46702211, 802500048, 604642853, 143172408, 447798614, 459334684, 223414599, 489368667, 465951815, 805741640, 190922190, 813360549, 364968873, 101600692, 880031173, 528035556, 727088214, 691987138, 359733254, 219731825, 415293566, 444525132, 752943444, 950686530, 62175404, 138133238, 490730010, 560119393, 764880025, 857140952, 100979172, 996129333, 520245293, 916390396, 167835338, 750160451, 455758377, 63790636, 386772227, 366130659, 362802958, 305702022, 356407472, 850467040, 973918362, 328090878, 33032251, 710153647, 540131182, 960838508, 267410315, 675854303, 511459280, 237287405, 45905539, 377750244, 441017123, 338746933, 203357928, 825867543, 849137773, 869110662, 678483108, 147053275, 717061925, 577821803, 57789959, 23245378, 256298231, 466613996, 262109814, 249459137, 809347037, 960653773, 716533059, 953166476, 668417152, 583307737, 107118571, 606322527, 79945305, 517922997, 995333290, 334816364, 929237782, 788192632, 890562069, 351748675, 72025065, 180788946, 284201268, 876937308, 248229030, 680170755, 652122322, 748093510, 140751265, 241206430, 695808540, 573986474, 98789534, 83120084, 2089375, 464014173, 870286683, 558441494, 655171238, 977375158, 489223637, 68239737, 838047143, 474360549, 145750561, 532057440, 836856358, 912052064, 517464772, 300858628, 747199756, 764121124, 485368657, 687037938, 590712650, 67364637, 282177200, 413983446, 893558135, 111816992, 641690308, 522321460, 478634200, 157524944, 598453252, 883961284, 707926493, 998620230, 701600498, 567012788, 307076720, 689271474, 489791025, 812173495, 595042386, 825300387, 914867479, 88320098, 508603012, 849981242, 529625895, 617303049, 410778154, 919039292, 528777389, 147107838, 451476478, 329430265, 179152187, 991537916, 259721921, 30725579, 156638568, 221065823, 123258382, 466809330, 675721186, 654458281, 917935848, 2501350, 487824988, 137608525, 180583273, 841081243, 353195777, 990478280, 363086965, 362025650, 646560007, 835057279, 365741411, 425361179, 483118497, 7297084, 328617414, 726190501, 363843180, 453736826, 914164413, 133286676, 51055289, 440174340, 391113226, 252742893, 187586623, 730633335, 278887981, 509273140, 761013086, 122206702, 820403876, 170852800, 905519835, 14814800, 552890772, 564476511, 949517229, 498819128, 224137622, 55191011, 622331414, 860206242, 848970515, 215587345, 514865100, 19873687, 247993841, 397312881, 810671406, 104648203, 500568155, 129785649, 702773058, 730019453, 514793763, 791882056, 831294089, 328840364, 882532858, 757335659, 561655368, 96667185, 488464417, 74351228, 148803846, 447567628, 817874486, 49635711, 496694043, 510020364, 735031401, 165904811, 141825609, 159863657, 638689983, 156380597, 143386032, 295924266, 870087431, 804447504, 364237224, 134495481, 436843912, 887449277, 138889158, 748694274, 981080723, 61694980, 866979335, 303997963, 869885278, 443952662, 456479092, 20892427, 577972441, 158853840, 805130207, 323797792, 202115262, 490529690, 381121965, 305945295, 929504194, 717062217, 988449296, 372506125, 741243777, 721686599, 889890304, 711709004, 231026847, 441893187, 268120378, 55922620, 711167874, 353475877, 453193027, 601442182, 854960559, 261451592, 496569580, 478554734, 156338588, 659608498, 923386208, 375940194, 307712871, 950152921, 936073298, 874387945, 335685360, 271856565, 423952067, 541057496, 703421423, 901406470, 336609097, 107736742, 623280355, 848030477, 990398051, 212396201, 184262891, 764497749, 871975504, 982292964, 544678100, 969717526, 425596513, 601815154, 154765169, 308614979, 388755423, 515351435, 976891529, 284028071, 174932130, 312297934, 523524250, 878131143, 586975156, 928370051, 148169160, 736702034, 491539511, 571048316, 423708532, 112567454, 612816237, 582291067, 41134564, 711035860, 709530716, 153643540, 736237554, 934205359, 975200079, 865996160, 534254348, 198340914, 324833574, 809649940, 218973778, 869958542, 750146648, 135308274, 110280718, 83742756, 670996563, 271086450, 406238904, 857790192, 725379204, 716576109, 673502050, 587633654, 796736617, 174190186, 493699056, 251581732, 469175084, 25342022, 623866797, 569038630, 207485730, 375652169, 752697540, 234715117, 323437176, 410796617, 361356226, 736363402, 299518676, 197874614, 503787765, 61455137, 390349056, 145002462, 215720366, 672382857, 322310446, 691775928, 674057657, 758564736, 113538604, 353447164, 548566, 898786055, 255429398, 49729780, 467742071, 595819500, 118042979, 337513913, 799415981, 93481136, 613185864, 47577155, 43213085, 603660434, 374358414, 646671790, 700093662, 995520039, 240378661, 875346997, 878857823, 394199585, 777019337, 447972869, 581666745, 400704068, 489564199, 762206331, 370621313, 116325443, 693826907, 775219851, 916982045, 477372139, 773954759, 46766475, 7688727, 663217052, 498439308, 977613980, 637951759, 960620325, 564127332, 205734939, 752641647, 716820303, 692286126, 199511703, 544489476, 915319053, 361230820, 456059264, 366121263, 136556931, 189317911, 52493483, 547372615, 7982484, 621407868, 340311774, 528553563, 751682285, 570866391, 339458038, 591758922, 919637246, 679804265, 23241301, 346693728, 516570840, 477091419, 411303774, 452666387, 739632321, 126866175, 22757971, 345302826, 434406224, 319505581, 540228587, 511587216, 415733425, 57784073, 482057849, 829989174, 34987267, 520633606, 322509909, 110893328, 101885715, 409293218, 543860315, 488196498, 252859888, 314036360, 353744305, 812218121, 30904105, 509471035, 431292614, 689547841, 295411759, 825936503, 674348338, 942975259, 101062333, 343242008, 14889005, 656808801, 183107748, 445055887, 460838593, 634682472, 11100052, 776076142, 622323090, 974548709, 367115090, 91334971, 216923168, 511953120, 832545599, 980323357, 686525259, 491909056, 755528788, 758535861, 36506318, 731669526, 826563897, 665763894, 923052300, 867885211, 356159220, 969756173, 550209870, 387791950, 685497574, 463907196, 598627613, 384177423, 817120199, 914254848, 86933540, 172537262, 462217938, 24239915, 696596836, 585731285, 124539339, 737022556, 438374133, 673256211, 526874289, 932950713, 478877452, 882109015, 390788387, 113949563, 293140258, 948539816, 314724867, 707783293, 838489810, 60609262, 953654584, 298396433, 940304024, 413274269, 681889808, 376109379, 522210845, 31852759, 330949064, 580580861, 822356527, 286785418, 634312638, 884821161, 378728195, 898966056, 409888696, 921582608, 982207136, 926951242, 634927867, 624471111, 492759889, 748771210, 56197026, 737340636, 592098827, 50156383, 853828019, 793537903, 721816470, 337807698, 203197929, 391293454, 499414079, 320113871, 222454629, 44302023, 74780413, 813728518, 417780879, 420103863, 414961294, 545329351, 891044083, 164302490, 830578095, 637938186, 253196159, 64594004, 192094522, 166660434, 126137201, 207963699, 146574965, 840937579, 77305848, 101630742, 230052449, 828498041, 639896228, 625642933, 812820350, 159593642, 58657240, 222601483, 271273317, 891730255, 504857464, 692506984, 431809916, 653596507, 796969120, 416018570, 40958645, 50955590, 348279520, 944562442, 89882194, 66497614, 838312273, 240778853, 414431516, 235129152, 408233954, 344562972, 417694244, 743301835, 537061523, 243385647, 918810022, 393975841, 327984360, 353520852, 158472718, 381512905, 723666210, 380829988, 334342550, 802853962, 275333922, 667465579, 898469454, 621802517, 189777000, 42251344, 771065541, 726131757, 957662419, 179845593, 966643983, 538967706, 875368079, 945507236, 473307275, 258971216, 807624652, 767468338, 767810694, 744971635, 177496321, 724678333, 460327150, 480868443, 77018779, 710922686, 27361279, 902651034, 789866667, 223009410, 368144779, 242199308, 790106729, 190262615, 393561607, 765950455, 784967487, 274137914, 742758242, 861502071, 482915836, 961278815, 280788900, 118254935, 950507472, 623137360, 755287687, 92934145, 107640430, 918016184, 156846643, 286804270, 341092369, 763318889, 925233961, 139007559, 938446133, 913545173, 367861093, 871629079, 286743766, 553271460, 174877034, 940773927, 293462204, 865772012, 788618003, 205048891, 91078265, 606464953, 620231314, 58645034, 549315663, 940629030, 475057097, 967192666, 782455165, 751644815, 487487490, 601675265, 360220716, 316222070, 394226646, 3210534, 946592750, 218179781, 65160559, 65628412, 746903756, 550290164, 171499823, 960511466, 945803222, 169460176, 676420844, 482714546, 449046701, 964546437, 277505057, 462409143, 178172474, 799760171, 253447786, 571777957, 470993173, 107746870, 327363162, 936501679, 896114752, 105208199, 421345091, 952551939, 363586302, 250613880, 491650565, 635766737, 13097555, 640489492, 320121715, 107549380, 727438304, 97213428, 561215854, 694489047, 273228591, 629644982, 395765621, 334457056, 727488271, 533047942, 808390709, 371070084, 741383509, 859564457, 421727850, 710964673, 699375472, 886599174, 875128915, 451531736, 275653812, 598359591, 46140876, 68608050, 218768792, 460705982, 556917088, 927850518, 401573802, 963799643, 979897233, 378721919, 437133244, 534515302, 946147321, 212433199, 160002603, 414545798, 761101363, 477489175, 999727331, 710033229, 351680479, 604719358, 211698211, 829984421, 874103657, 582021546, 975094811, 4740157, 144570955, 510312735, 99634150, 296768382, 608215342, 689543377, 98200433, 383836935, 118740394, 925499078, 543914190, 475730089, 508796972, 194253472, 919177964, 334643470, 455716078, 945779528, 989514669, 552182155, 271048121, 509864599, 976802849, 81710821, 207380400, 885007432, 675301491, 321073390, 674531875, 800863340, 112494342, 475016545, 335218136, 942060993, 866070331, 633279033, 573493407, 586871834, 131004653, 236311251, 903014542, 997411283, 604584532, 527108135, 964305591, 202342221, 267093537, 570668787, 531078620, 710034979, 460702384, 712318325, 430571533, 489959379, 456072413, 223180614, 492839719, 160724045, 248633353, 704095579, 199523772, 876167844, 759720698, 295614113, 95502646, 165897438, 594614139, 324908488, 790836192, 714566109, 430425813, 373396709, 951323510, 441290302, 180106632, 394368575, 746899524, 649455162, 568971727, 49405270, 393088868, 795246665, 312414381, 214563476, 346816129, 971039961, 907250036, 183293785, 638750158, 935364085, 441342776, 391913030, 534857485, 409729413, 643851925, 329034015, 407931714, 890551706, 440468596, 726631687, 766450846, 464320765, 207573782, 282464062, 787888479, 549762614, 772465857, 517053909, 594568524, 787088836, 350775335, 437133515, 363447050, 509535512, 4846866, 455431013, 628262804, 842629535, 837893049, 70705782, 17726256, 246744894, 890510357, 380445426, 831768892, 389531756, 78725180, 376122210, 329814230, 515370187, 574732507, 407184038, 15452071, 86689135, 724747350, 514415724, 475127827, 250755582, 586017799, 280243887, 412146834, 279336786, 396352788, 264394113, 52404501, 125077957, 888500881, 554266952, 86967590, 437422430, 202372390, 966231439, 213705124, 319654912, 327706227, 604516154, 838729579, 244443587, 691974396, 670229964, 419206891, 5257885, 716775423, 278654957, 492538897, 11616702, 646950986, 306026643, 833796337, 78834178, 275922590, 685293512, 101203566, 623763509, 656078816, 945604774, 324717775, 192790388, 606547432, 816500784, 414238241, 58806450, 745968573, 310554062, 972523071, 438568065, 189445485, 960001260, 460803121, 51605253, 687345870, 404736964, 670252702, 370607189, 996543775, 692270390, 483658090, 512498805, 152887874, 900798326, 321902214, 232558689, 812792038, 89627325, 385482292, 85511775, 114980633, 906256203, 132176164, 113938045, 860499716, 610603742, 627199142, 77262047, 251651528, 736521679, 167738946, 281319374, 226793959, 873959147, 950424104, 287498818, 699383203, 678933526, 452903220, 805152685, 860641963, 79880703, 620991139, 222909835, 85240261, 664591172, 153476076, 656403564, 171552097, 531498953, 709326521, 556667839, 956693548, 309369435, 273469420, 363742884, 697635661, 750181230, 600174547, 790602406, 83903616, 271661984, 794607831, 419228654, 87801484, 367167886, 88560573, 765286104, 951006428, 750250006, 896580675, 160985003, 996341938, 686112700, 496608652, 8826906, 970375031, 283690876, 588602869, 551235124, 124407441, 122553690, 380714466, 903534647, 250454724, 331601977, 397264783, 894642660, 697242661, 325271889, 176018730, 524552932, 209331090, 17930224, 696956093, 581641945, 71616876, 655056447, 326755790, 904206703, 333932104, 810098296, 51872570, 691086075, 786154701, 500477300, 774379189, 932139088, 808276112, 46281558, 882020616, 642937407, 78626763, 744976438, 745900487, 840621754, 293141714, 406778811, 512339028, 982985545, 200090743, 96379688, 731892731, 194786370, 587797329, 215409805, 448536756, 574049504, 994450246, 130062120, 452197417, 853728347, 478142793, 245992732, 990418743, 89912813, 530916549, 444842591, 10607588, 692738728, 617786191, 262912104, 966519363, 683722786, 857540414, 116745736, 873227363, 77067215, 176555643, 68957746, 43363488, 533182106, 910732883, 152380108, 993295616, 340926397, 970676595, 308785303, 62200157, 273981489, 832809292, 729118812, 699676301, 818970131, 628088803, 235687281, 220074142, 998712515, 979946995, 3490108, 15691038, 220726452, 936613564, 604889399, 600492828, 83126672, 131431487, 723542994, 333587942, 250747279, 317759186, 699894415, 741249907, 7101324, 110266899, 198449991, 26216686, 353232706, 802104277, 408746362, 665417824, 888368646, 565370168, 430576891, 957735373, 589780883, 799338300, 10920922, 900024492, 338080518, 70219947, 609907255, 841878633, 414994208, 236555139, 352814288, 178796140, 602748240, 80664841, 737010978, 286608976, 147147970, 18477242, 868938670, 12924669, 134576177, 644507763, 447517763, 208712927, 802536461, 719573433, 129481234, 298151133, 302976809, 17764986, 872842257, 192362484, 88605057, 611210823, 868691884, 862020191, 445825009, 749126389, 826650661, 623427745, 144373772, 96987882, 328114637, 455886080, 118534529, 224522919, 1826663, 720845079, 96064957, 796380633, 159885838, 742949386, 504235461, 883292996, 991983004, 729246603, 807137342, 128814960, 733948180, 481492365, 899445598, 255846118, 190089810, 327434115, 912920518, 988080331, 498448004, 553641460, 640688024, 252451323, 342240180, 135018369, 979439393, 727039561, 174193302, 66274203, 457837276, 716730170, 261296156, 144719489, 573831035, 434965159, 765425199, 114748479, 297912773, 797611702, 918896316, 884540955, 444936329, 706027557, 528667314, 753222655, 384721590, 431614072, 758575995, 303344420, 577720745, 382372457, 264857816, 964538069, 942767103, 61569185, 785097010, 521691169, 489780864, 27067643, 275636751, 846000150, 599164211, 33967024, 274318063, 53917069, 454942982, 928280442, 892727017, 583311796, 951639658, 970330026, 242301121, 350184455, 689276298, 551191919, 286150645, 248465465, 73584682, 693620621, 914895403, 571499980, 860297805, 60282498, 919630150, 490457567, 561589717, 579460503, 679088169, 152190912, 979184344, 182649412, 20770295, 48782943, 25201019, 442057952, 31044094, 114676915, 747894309, 946704711, 310304449, 601324803, 152276689, 81019229, 373384289, 420645317, 758387642, 95166071, 590866597, 477548481, 901198885, 128453774, 74144784, 278235862, 263372211, 217763683, 633538336, 647670257, 284268114, 880933233, 837201417, 385173529, 41347500, 450044983, 621644040, 14441178, 702517056, 498978326, 817540745, 503613053, 14021254, 829559619, 174636142, 605466876, 213804699, 550740383, 772428266, 386703427, 659200105, 919826246, 854732201, 871762476, 141204776, 171895765, 136625246, 480685906, 202583237, 883935275, 692888472, 369179280, 749021910, 686247880, 54499796, 215419337, 652954969, 820599356, 857397439, 940555642, 938980318, 198806725, 947205582, 234537643, 201980654, 22174187, 182489994, 401980344, 879057254, 974027179, 615545365, 979436321, 387729601, 11969829, 460377333, 662590116, 992785026, 791742096, 927817366, 6327010, 562716420, 568834003, 676326927, 739534038, 503739630, 829851770, 508235597, 642629603, 937514799, 710207569, 812799516, 637873812, 866020060, 373265106, 139223466, 621652546, 677221261, 95689412, 242545922, 334053200, 872322489, 493210994, 89945409, 28060643, 768300917, 719548519, 747111158, 249961649, 257818060, 625722808, 135659885, 931171511, 361150126, 5563793, 512217956, 547780113, 257468888, 424163016, 365800372, 908277773, 753044111, 813146384, 559377887, 512579304, 989702247, 785076417, 515022706, 589090973, 171359496, 667814595, 334432268, 688173536, 858095229, 372273614, 587373130, 90861762, 458009342, 253190700, 94037520, 996229644, 723908746, 461234802, 230100913, 444083252, 962184442, 231841712, 320239636, 457564113, 527113402, 118414292, 328252525, 389066051, 277832689, 466288003, 690910597, 673658704, 123684924, 776259973, 573511155, 658427104, 813136143, 939539837, 206945640, 894659705, 64084700, 186565026, 123773533, 42194133, 859847116, 120090172, 892486754, 429268798, 618247805, 420722218, 998943769, 416689395, 806586082, 232197893, 200003513, 438346326, 170382569, 459671528, 540467873, 595480241, 907598149, 967127074, 895834117, 893329952, 741563567, 490928162, 947659008, 490034792, 713815386, 926922099, 57181714, 142199882, 897840179, 776051490, 612466997, 436561879, 542987473, 765874581, 551321275, 258428046, 656593313, 62175677, 160664063, 290961152, 661063175, 486908487, 729879131, 407468266, 448901953, 383788019, 528651108, 635168523, 162589619, 795175358, 920847486, 894021833, 840642003, 28089638, 132424694, 580531444, 587383053, 806448356, 321869756, 105519650, 623603208, 601056231, 409303935, 942466086, 118505096, 756871084, 21972320, 514268708, 74609495, 431099325, 773043852, 770479134, 779244966, 685227747, 708253984, 120537723, 783985651, 205040376, 731229226, 541984320, 793670003, 562720839, 702001124, 748616488, 245323642, 515204547, 564160806, 326778203, 595361646, 416163812, 330638170, 134894272, 989638968, 637503943, 327144227, 829009601, 735845097, 338830524, 873074509, 783254491, 17184112, 625948964, 392497500, 552916, 992889233, 782431309, 142488919, 985030505, 819834659, 538610339, 847486583, 734334921, 667225420, 475892643, 50645425, 110862471, 563485708, 309911318, 869610514, 553262445, 336772126, 585160625, 818985898, 124107016, 568214004, 664239993, 400916289, 993275698, 457194639, 685678108, 842283352, 308692554, 485128153, 735747250, 12352104, 150792695, 942063233, 622828732, 517373604, 215478236, 907742333, 573271340, 836591734, 672421477, 638182020, 420266803, 228283280, 850492062, 763003834, 818561254, 988007863, 90772248, 632535366, 759250788, 221969688, 608830114, 735673136, 547861170, 908972157, 665387572, 353620077, 909838188, 615033367, 979541354, 648510681, 696870704, 602249994, 826617657, 323010723, 701015038, 557837186, 5958245, 463567488, 684893206, 148854794, 976853814, 395563000, 81091298, 838431121, 730477998, 187423796, 577528840, 210082301, 521577004, 767016397, 825505242, 44561195, 34972184, 760482563, 805331970, 413748777, 255754969, 13424725, 70677732, 217636024, 602186127, 68604795, 543123306, 160448209, 34812457, 999084309, 212026390, 219257631, 424351852, 758024195, 312120147, 677003322, 578474208, 247338979, 550211971, 84432810, 203677930, 860600738, 567303627, 451781699, 706680208, 857369988, 932869413, 155909843, 305466478, 509927770, 376269316, 891610453, 302290875, 159325679, 609381920, 433908436, 703787323, 80652248, 461303672, 382350539, 198532756, 340779313, 613266691, 652320148, 566342044, 466749003, 427224375, 816378628, 404914876, 134747644, 1195043, 254040569, 506720491, 411777647, 112169828, 657248069, 720437222, 716949443, 578388558, 733946110, 231637763, 432933337, 158634991, 776923951, 665068553, 417020433, 327806294, 74569036, 813093763, 522108277, 263440200, 854456461, 408331474, 468929862, 781946183, 344566907, 943249447, 382463585, 7508656, 989784308, 690671871, 361007644, 26503230, 567742526, 522728803, 746410191, 575905060, 598124512, 199451237, 515769403, 714375902, 446009916, 321965390, 58301803, 880793239, 821285251, 199698273, 194845190, 161252160, 816478737, 79170840, 9787340, 618781362, 236626673, 218119709, 953034152, 575512017, 988641404, 628532128, 321823349, 838693197, 476363826, 388910715, 883486156, 378350474, 803551173, 182438749, 875245938, 282180177, 942753946, 635288468, 584522905, 137996785, 620609370, 362003347, 83483065, 455398863, 284359821, 963934881, 831110359, 820366887, 782299294, 978147958, 951104408, 316807300, 164508676, 299594126, 554390339, 442284353, 994913468, 505022743, 788510391, 825305081, 679894914, 193079875, 165535837, 452144215, 432037650, 360379353, 829435548, 144771429, 36241074, 65127927, 290250554, 719302089, 369226062, 370077669, 918694442, 713292299, 89560871, 430788487, 483954625, 747727825, 192940588, 322755190, 763540863, 113609289, 824759770, 130160680, 79102378, 159966509, 786105129, 754575887, 461190313, 403816879, 525426061, 823025203, 535915724, 392078547, 462693556, 347318545, 175312774, 170701780, 485307946, 780315636, 972989398, 244211118, 828320985, 569897480, 503212283, 143450910, 271486393, 273205956, 335256190, 74904289, 539447684, 710812217, 988962791, 424839011, 816015234, 690468240, 538362184, 881222, 976602359, 540778546, 105493488, 833275471, 527988660, 759542395, 316140533, 836819713, 629271360, 897338862, 656380836, 500715733, 716170082, 99899699, 724874175, 691670599, 24112102, 280194474, 302781152, 918322274, 651000118, 868764976, 761020043, 562518786, 553814794, 880054413, 481757401, 371079139, 77656159, 537790066, 460007765, 89536263, 401322694, 969487399, 18457128, 657979782, 126827796, 986721927, 425651283, 349259507, 945824777, 760094238, 870000491, 576392845, 958774217, 112132705, 921828782, 791297740, 625997400, 541833680, 939700277, 756885209, 815523198, 506106250, 419852744, 713355596, 115496383, 460961793, 591268061, 599074306, 684010359, 935833175, 188159853, 862104222, 679935343, 64880697, 168213929, 890158503, 828873259, 450541962, 370708712, 352480658, 876191254, 449182939, 985588741, 798393941, 829490351, 324510479, 981169144, 737264075, 345635011, 811006440, 195923428, 48376185, 985303652, 138396208, 335927965, 956061067, 792647985, 161015997, 765750898, 847721856, 73626005, 513276106, 250181343, 528945174, 727531954, 712140924, 390069872, 411044648, 966103977, 499852931, 971007026, 436459433, 998234202, 476754591, 114566706, 57010266, 770658010, 340732667, 176462073, 611588798, 346561449, 630818369, 303687536, 518546296, 474000922, 932714083, 546930667, 850529175, 910353142, 52572666, 624205161, 980007995, 9761075, 80605263, 26910544, 409156881, 182193731, 698116968, 759543734, 789799629, 776567557, 693482369, 90712193, 893630038, 719040269, 691810755, 820435502, 794587458, 470211536, 13324548, 894912673, 446097096, 683864252, 656502542, 398758351, 591959939, 527755342, 715494994, 803643537, 612477901, 454439190, 258189423, 595945734, 252150095, 409930192, 821339678, 340973019, 683821424, 632879990, 161752397, 322824838, 529136272, 84227620, 954213581, 309051264, 868056712, 576185414, 814035301, 895097837, 274734646, 909603204, 951213846, 99745973, 685968232, 326857618, 261551513, 275421353, 353715955, 379019012, 56222117, 973522155, 581924708, 67195162, 799981940, 403459263, 935195606, 257897278, 50469948, 21016063, 189018368, 522123657, 335461431, 33769908, 541149454, 781742771, 261805545, 928969380, 282417377, 222763139, 332806977, 105759304, 530978426, 648871779, 609398129, 232335442, 414678167, 20111297, 927850811, 37035487, 318771550, 550638639, 219458922, 946115662, 158663371, 750045243, 498790691, 149133215, 702265613, 594340071, 558966539, 195549741, 863031081, 5007310, 64154074, 107131672, 920493435, 567339417, 941647010, 444635666, 442823492, 454544830, 532768252, 849906184, 186171153, 566881898, 122590559, 584914347, 772636719, 121638692, 189121256, 815473832, 534279914, 557020095, 237531843, 765644225, 752287640, 693633247, 599927388, 959562466, 708335321, 369601862, 188121978, 799576681, 558308849, 113788713, 907580402, 773993752, 272549632, 842690798, 267959223, 755472497, 789820620, 26361818, 43860648, 160481998, 209012762, 829219237, 315437588, 914233071, 877318124, 54420481, 694579096, 696149548, 733300822, 451662301, 571227951, 97067078, 35424107, 868321812, 134708083, 451790745, 810347592, 850656055, 395850573, 407380795, 303365359, 449823115, 369070052, 313946831, 866017326, 912157599, 929233112, 626668676, 695889064, 431225309, 509769357, 19930167, 719013341, 712215110, 933343372, 57981427, 887596285, 590807009, 874182380, 120507255, 198543410, 369743752, 793799077, 680857854, 515581560, 319201048, 452483529, 692744351, 521835990, 477275380, 683024723, 692314022, 696934813, 534050163, 10391463, 394129242, 534482876, 237642900, 65598493, 407686512, 336217822, 820314054, 917810023, 928732418, 901312913, 757845187, 221084558, 40296587, 860864457, 105346502, 92159415, 756191461, 801453106, 577137553, 168803970, 681665839, 583282880, 381321747, 942465428, 654726895, 852572876, 320333453, 186370985, 720771289, 518552735, 866537027, 949924042, 106665417, 213436261, 95615208, 942713181, 766428630, 850920970, 105109854, 99022906, 301501451, 714567423, 400326758, 614744733, 980671531, 48368283, 298672952, 493589886, 632120875, 532329520, 840700238, 414783676, 917358182, 13849266, 263339269, 291998584, 587956421, 922004876, 279886412, 380013437, 579059391, 154422599, 581712079, 455895913, 384364458, 214214516, 526080888, 836105044, 741228629, 486387969, 964304991, 793132515, 516331387, 650660843, 582200669, 866885503, 488093538, 875492075, 404850934, 268927179, 864990673, 254635178, 718145272, 684996444, 5570375, 711144327, 367193702, 326705053, 265697343, 110996427, 364004741, 982521479, 574983515, 292950817, 200599756, 850309423, 120247264, 272031696, 378958075, 444616971, 375238118, 592889182, 522545701, 384792339, 829135181, 652570564, 542500371, 21490391, 518994475, 769803130, 667929838, 831026070, 565356333, 814778043, 980514928, 534810970, 235683970, 770711496, 456959338, 130580535, 429913060, 693146237, 893596359, 150237832, 623901780, 24955420, 758677244, 683826033, 32751933, 687246890, 920376141, 44059763, 206189172, 779755072, 228125848, 284545518, 36130352, 79834813, 134926384, 574476397, 376040, 803880556, 517389210, 417325092, 930129493, 716372089, 296779740, 149961999, 440722102, 414551794, 171358789, 602693270, 790390075, 415172446, 972649159, 507123138, 260330617, 955697677, 688498836, 850768931, 557613802, 25046253, 851182505, 621029551, 296243037, 677427431, 556619846, 876023627, 772622608, 450392159, 681370067, 772211310, 348639884, 714744090, 550373688, 602190662, 676201832, 738276061, 387901645, 863939457, 722451716, 710114627, 31969674, 920513079, 435301114, 217673533, 418524233, 810701192, 587687584, 980744715, 511567964, 616381604, 364715966, 680216488, 303798206, 532614425, 172092012, 682040294, 237201707, 881673581, 857871287, 603015009, 61255080, 239244457, 990293944, 100161687, 553362148, 230402228, 467361363, 772524061, 926680815, 483883214, 288761756, 716483088, 209609777, 765826347, 613482686, 214801193, 714647210, 566757887, 646227272, 842767620, 255749895, 277754928, 36853066, 91855199, 453776434, 62838713, 27191314, 279230930, 198844828, 17278153, 295090422, 190912569, 138227180, 222506206, 631978198, 117158330, 527118820, 817119896, 128970895, 524671221, 405557394, 246431438, 68704571, 157679935, 294523339, 790981188, 918651776, 368322397, 318010189, 410575622, 494304015, 179940090, 962044655, 45997876, 626779330, 190966194, 787888528, 492513935, 161787803, 783034882, 672583634, 545035874, 49430096, 944663250, 446660749, 457088655, 778540426, 252473221, 965149368, 343922219, 649287125, 527240620, 678181820, 11187082, 98777536, 1853308, 66250875, 787817634, 272576328, 89948356, 484008708, 582583500, 410266943, 712476335, 647629680, 221551989, 886942561, 1908450, 47511267, 477427936, 465791489, 17483474, 927474836, 48084365, 774095145, 990902171, 120638760, 964482180, 379090601, 537122549, 752402597, 491966041, 23687209, 854507954, 457473794, 839894733, 530652497, 453358242, 576077582, 981971866, 711674169, 709430531, 647943727, 876611044, 728285217, 769163815, 400278290, 672312379, 674840669, 7769616, 560755884, 750556615, 38142945, 183556208, 299735398, 338327322, 697786936, 120928551, 891003589, 397271951, 681917588, 692196926, 25877270, 273656862, 116960535, 458749063, 878868851, 430203760, 662683356, 454806847, 55101326, 496828187, 123297613, 932639343, 423439826, 633306286, 398223617, 396180473, 507505188, 197958818, 243389366, 213396199, 787293909, 147716951, 361558144, 875950600, 354906796, 477636859, 942837670, 997398633, 95492024, 991148588, 431342359, 881836049, 71826532, 162990613, 657452404, 431709824, 242912233, 252904222, 364381958, 121973730, 83404069, 109387824, 754196893, 191707321, 168411420, 773641118, 70798162, 951321748, 684821727, 960172075, 818796622, 88533058, 282885094, 965336393, 176141487, 538615162, 467144579, 73086666, 750017352, 211936837, 896021806, 707836500, 506590047, 194455955, 899906043, 159793296, 997725941, 129574686, 465632353, 697758541, 917637653, 387399335, 492050452, 51229230, 756731134, 750169813, 879832987, 573913645, 161808320, 741320087, 357152118, 157022401, 794940243, 608153429, 256945643, 260971152, 795580573, 910631662, 712387323, 185674301, 30121646, 435139389, 415688177, 420141667, 464634167, 19260635, 466547109, 835771343, 141465533, 975700784, 202588411, 72638826, 164466351, 289459109, 36182903, 239704823, 268832240, 513590080, 178862716, 346206457, 586663822, 925131742, 922031809, 749573404, 468022716, 340437215, 613034473, 393853485, 513881430, 124189816, 131889078, 776918727, 20664858, 583314185, 621842208, 910576063, 670711456, 2425344, 558424037, 524071743, 836858853, 550095029, 959510419, 963998613, 478407602, 375298539, 141396226, 611854734, 963346213, 23637685, 653168416, 546975078, 454441760, 50526581, 11428745, 147046226, 819971836, 900331567, 76561069, 290606880, 546556240, 262098571, 218773575, 114612974, 238097497, 880247328, 222576960, 28469507, 961938469, 963840243, 180693394, 666680659, 920797884, 320104563, 773556184, 159590040, 94814384, 161473392, 363258482, 197517919, 509151349, 50874660, 663783919, 389081299, 669702026, 925911412, 561245876, 429387045, 269185631, 651559625, 799174400, 109253474, 151968315, 336423044, 386077688, 750802971, 321479651, 771928877, 619659976, 964687903, 378728122, 821210743, 832171502, 227465199, 956208380, 889280186, 925375711, 637628731, 811604675, 739216468, 592638189, 82784139, 72423201, 982402109, 950684214, 576605466, 920291954, 250067481, 522137782, 954283141, 378282026, 448699971, 293712929, 297152112, 215495054, 967862844, 100749604, 903656717, 897703369, 227835547, 124823164, 57165720, 767921770, 583391086, 501694421, 405280872, 745979612, 923961563, 599545999, 351012334, 431900066, 250761463, 713826088, 666832423, 710653107, 88057938, 501332861, 965970810, 669021345, 487829654, 671122194, 682597637, 871773594, 287848249, 562071499, 243531239, 152705970, 151083337, 489414456, 193474326, 360231907, 603825675, 303065727, 41292205, 358000022, 451632717, 83805122, 385690458, 699783620, 69932015, 855092591, 20254903, 742564359, 338812379, 172158740, 759664004, 672626956, 50142697, 646254061, 35228171, 221773893, 781911810, 315018347, 886535474, 388040960, 853349158, 683127546, 981100150, 407021009, 215143467, 535800583, 612520821, 391949832, 457780795, 175988719, 315110011, 990783967, 431382494, 984695635, 525377962, 200421864, 434952292, 786539298, 214783351, 24874876, 133307338, 951434448, 693124599, 903258294, 782523497, 505797524, 861039022, 355172498, 953289880, 986157939, 989724246, 239367964, 530717691, 513400187, 12035253, 38216372, 223460404, 336324263, 503072370, 541553706, 941371157, 475589941, 367352522, 385823355, 805385408, 375096645, 135453609, 958226597, 387881677, 297222332, 762577877, 762770115, 118226204, 373872526, 543209616, 159643874, 666727030, 686282412, 591249697, 910669556, 16963229, 341426900, 861407152, 578201471, 423169514, 72169917, 39626743, 435326638, 423199487, 868213901, 973877706, 679035267, 219246534, 304668370, 58083992, 37677382, 756457231, 329300322, 842023599, 580183047, 485047813, 762818917, 137593555, 222921479, 635974814, 268734612, 235944276, 352126652, 360242133, 593407356, 853867255, 469076413, 815976645, 96646356, 418143840, 134095206, 265380985, 936173095, 944455058, 557789200, 277805037, 677819802, 576669692, 268538534, 828908530, 820735870, 951345774, 711794447, 924076096, 657342834, 425890710, 798682365, 689248851, 168459894, 823675503, 816866314, 474869241, 188643250, 960771615, 862606025, 961085006, 221609891, 732423791, 948028385, 435989822, 205319360, 316459031, 753597891, 529056227, 892759962, 274250633, 547499987, 445147485, 506216019, 736772584, 405508332, 889663256, 572848579, 204831516, 547465007, 818171649, 506552791, 877181749, 338670786, 241179195, 940416745, 406903895, 478685898, 893994740, 62090731, 359866286, 479271962, 995542471, 524526743, 330553397, 88160527, 864435074, 531384718, 904272563, 272099224, 232428325, 771496781, 611752309, 482829362, 626532252, 469547488, 406151417, 673991492, 982230677, 110608144, 305472707, 202102722, 911354329, 566510721, 978366584, 91536627, 421495913, 917759132, 19213889, 90189152, 798543597, 634182145, 139064302, 437464008, 721618959, 17823511, 847061648, 550786224, 606080999, 275890052, 585065939, 227637404, 740433782, 313011158, 328908951, 231901691, 225019884, 452726941, 954848383, 652630139, 819300286, 7058772, 516399762, 922568409, 287528309, 697258359, 106122212, 365031094, 762031022, 97889283, 415494804, 183334472, 891144412, 970585419, 401652716, 544445400, 522072845, 470375412, 829602586, 620215909, 316415776, 393208198, 451001485, 990746608, 645083613, 376611177, 667407726, 55746839, 362437643, 471089962, 43989236, 732120110, 778905674, 677648772, 41627677, 323274092, 387118039, 379081206, 970998182, 131889231, 248507290, 285301826, 755715978, 197416720, 404595113, 173096886, 399637131, 263236646, 467806592, 285387327, 298170886, 617944894, 512707466, 754372474, 117692189, 223989691, 62903061, 479605065, 163368677, 346895642, 133812726, 845714434, 495932465, 658035517, 207747278, 599301397, 912863798, 92202870, 285404463, 592803951, 781361083, 962093247, 583853499, 218237798, 386949128, 343895607, 971697754, 866484826, 640802299, 80197980, 313726857, 773149992, 605161329, 455638442, 428265953, 892777295, 982527498, 40791588, 560570515, 436600933, 478219144, 438144611, 422825526, 259795103, 857629820, 212850592, 594068238, 843254073, 973752375, 560681021, 239828553, 900366410, 885318507, 483605019, 215637614, 324569995, 332406731, 767896754, 922009278, 296986916, 681109404, 800656703, 728333631, 52585276, 551728994, 627789000, 784744640, 544897026, 383860120, 759196839, 828596683, 377137115, 360170936, 768115968, 174490284, 395300266, 485846210, 578501760, 909874985, 678280865, 618472277, 676364952, 933757206, 399741200, 243305405, 64278304, 366454816, 664749865, 293952296, 968895913, 813469551, 60181934, 666293359, 823010485, 937025608, 264627387, 580768287, 377638609, 880875020, 172389997, 817456019, 546280000, 72670078, 263214339, 188906769, 312017742, 18775803, 174065663, 460119932, 120839350, 674939293, 767743814, 26923210, 967748308, 112760854, 355835935, 447716699, 595213499, 545196428, 389926502, 236496079, 613053500, 875552527, 645546339, 949719764, 465665286, 354090667, 173640591, 216017586, 235896169, 590336193, 525064112, 136490918, 265430775, 989989389, 973747529, 346285065, 852969387, 689503931, 670635492, 629906259, 938176303, 96110328, 486024168, 2206499, 700928398, 885045157, 833889824, 133978281, 7923685, 128263291, 701498533, 9354286, 50491603, 523571295, 555424423, 970335891, 90614422, 287003499, 335702805, 311852763, 551623285, 43720590, 25487458, 463866267, 966848903, 553844800, 10055852, 697504952, 740841029, 943253704, 784217052, 575784958, 322338761, 516406855, 173550061, 816450501, 236192205, 489894677, 871324998, 349414932, 760343463, 143091013, 691633639, 718959354, 488874422, 9453637, 929013282, 687983658, 838469932, 362222469, 42629464, 23023075, 160157568, 759385699, 869335896, 925772315, 561355367, 525955097, 872723029, 91560619, 158351306, 924804652, 195013569, 425642617, 854202408, 459801242, 23645352, 721328094, 552182552, 3351707, 846122874, 875441719, 942452367, 662027549, 131395764, 840741328, 873252774, 995898964, 160013325, 959282292, 805739719, 766997606, 427106559, 523130204, 480690469, 897671965, 556031283, 965354800, 730050931, 602008730, 473153208, 244673957, 25112095, 59035890, 522563790, 199678615, 685499551, 289838972, 230061461, 132305402, 483663425, 960746561, 488677482, 178038459, 421901761, 939955394, 721357881, 66652909, 781025115, 467816808, 831092720, 350300031, 292178517, 702002781, 986894001, 393409643, 761581637, 816326850, 401403349, 927965492, 902274360, 245962260, 143531290, 398984105, 417453273, 986993044, 936744368, 376078970, 525251249, 270971582, 461410882, 72981590, 220997600, 587683378, 591648179, 331287372, 968833923, 822596760, 778998702, 941521294, 858640569, 808479357, 110497576, 57396930, 256955004, 585608823, 236065997, 703205691, 746919789, 474985313, 240309315, 17526834, 713916040, 826234210, 103346086, 185769110, 410415522, 551943577, 687871662, 361495253, 161579828, 43969667, 531915733, 699045808, 312692851, 117510341, 60873779, 657795195, 496107297, 247052816, 409350349, 654254733, 418569138, 329822442, 794579782, 191478659, 906933594, 481488950, 840039898, 151063715, 877423139, 489138466, 419975351, 708366073, 179201076, 15403111, 102002181, 726941971, 682429311, 170746037, 522023826, 340714209, 947221573, 744966558, 61700876, 969844367, 81724583, 177105666, 476786394, 126092909, 473243552, 857823341, 561342062, 1950164, 650468558, 364317885, 37497996, 426588110, 766325248, 165727498, 377652088, 870561804, 948127809, 366634230, 981134891, 324337709, 675688756, 884334884, 773279952, 408674853, 937844205, 812544291, 32305020, 991828200, 660984350, 503177235, 927124578, 846638656, 486551167, 865653268, 487626128, 668409434, 29004665, 591231153, 443999401, 648371255, 643825439, 910709894, 255057559, 648630325, 579183732, 652993616, 257823539, 714161094, 136541350, 574495905, 76720960, 190632072, 417444530, 304149634, 170836742, 45188149, 117391230, 100829775, 361072328, 443051171, 318014558, 169593804, 214436098, 103598884, 231202136, 507258096, 693185119, 202155992, 961652439, 976349743, 559917668, 872056234, 888513965, 273311120, 960795928, 347166919, 731078491, 652737576, 971007319, 228899402, 645226791, 948062121, 932307718, 50639227, 400195416, 369136560, 455196994, 555612996, 808164238, 819068161, 741489630, 977403371, 658969736, 296785969, 664643147, 859521999, 785693464, 681644119, 434337414, 741397672, 83270381, 697067266, 989574075, 485810378, 362120026, 85821266, 186209716, 821342284, 336655257, 812225390, 201596621, 726499291, 491702122, 262363716, 155687642, 282282511, 262769968, 756205548, 971962, 921732270, 118046884, 386358617, 308791122, 215818302, 489586853, 32448832, 722330571, 571685286, 549699721, 737454722, 112741631, 390000399, 569929907, 824653881, 113167534, 224034182, 603869789, 343335208, 114809976, 79566661, 667699981, 89767431, 32686383, 312227049, 167177142, 961088792, 178873944, 608690720, 482320428, 48160885, 355600796, 232684351, 454138451, 817074340, 266237176, 653346727, 670429387, 927101151, 306129136, 198399880, 600108027, 730955009, 890157613, 860758407, 666283938, 79338775, 20301367, 577613071, 894462129, 174876144, 759910428, 585605680, 373111785, 373217299, 754871146, 567189864, 87796790, 622312334, 533262721, 545802946, 890012591, 473599724, 925727195, 357973571, 479054151, 85090483, 506355684, 728267653, 624213187, 419829336, 907914081, 637242239, 903662735, 147127600, 265847146, 934400884, 118851207, 235064096, 37892961, 370941544, 425163828, 219004765, 644607772, 320818169, 682084551, 260697159, 758040417, 828535267, 675823186, 472377233, 154399448, 632309253, 220067652, 937672009, 471135531, 898054677, 57535850, 16838276, 24137792, 999322825, 176203333, 257320767, 128629863, 964896015, 969869916, 239031605, 288234834, 948347961, 732508726, 409779988, 582448837, 725365187, 700758549, 974029665, 987685733, 208157229, 705223782, 643642186, 421148068, 43784342, 38836383, 504153539, 545319461, 47297170, 856264868, 948072254, 894518778, 562473688, 659509714, 548253669, 91044579, 704120130, 674908751, 349480934, 123372199, 166371877, 939701438, 237401965, 792308572, 546013809, 131537488, 415949979, 867877439, 174149298, 57569861, 664998431, 678165458, 358916066, 51623567, 353717503, 461599611, 40499155, 369593471, 36676759, 264812475, 123715641, 470688370, 593472824, 888327082, 959345626, 525813245, 803211641, 33680413, 7152350, 9533475, 67154487, 230149005, 705440769, 564287215, 839554901, 439693, 58630236, 632621303, 193915581, 860547841, 42642979, 371122612, 133215996, 179278438, 946692336, 130456065, 528801948, 630991102, 567783980, 586657279, 832806122, 345190553, 374305766, 439913458, 758950359, 569035316, 25405455, 334777719, 78969806, 469171060, 288873447, 572426436, 282256600, 775289958, 141901153, 469542832, 423519670, 399428638, 470406167, 614954380, 863059093, 816921958, 430706384, 61206815, 672397939, 466256017, 207553294, 479373210, 560183259, 271960753, 608420930, 220789815, 224659139, 375078449, 877030288, 898878905, 401678290, 660371704, 326951799, 949890650, 810691450, 733410621, 580874766, 633436165, 66966220, 389326689, 313396849, 139309842, 433084417, 229927478, 431277552, 194484188, 70923261, 733141318, 585005130, 838304891, 130553005, 889943815, 820460585, 363133071, 338016718, 363880448, 795406273, 741595375, 864885523, 422268059, 158762460, 654719400, 610747512, 388933379, 552288255, 841268100, 649400929, 561263206, 835514764, 920671985, 320832044, 765676994, 122589299, 79283088, 765759620, 873565544, 81605367, 888507061, 713469328, 341204338, 889329646, 530895806, 767226163, 541246571, 139209837, 765376270, 767833885, 316375726, 882259350, 529830601, 793495591, 771521026, 187599318, 790057604, 779209879, 364817410, 504708141, 560766401, 476329153, 238532911, 493558338, 948635418, 675549130, 958231709, 577844914, 929863319, 224493682, 275112393, 624487428, 141846201, 324623267, 287024816, 506520244, 506977776, 322908743, 976445103, 63693151, 721463596, 712066519, 353758458, 573328372, 307954379, 411253196, 966558107, 30622353, 248747469, 569264185, 94026131, 405736092, 775457203, 413495482, 47827349, 514301740, 209128485, 129513115, 791538074, 450786746, 855533020, 957750087, 698485616, 492581427, 204527145, 81357909, 970255042, 452557132, 258691013, 49775000, 339849587, 164142201, 873412158, 703236150, 719328439, 246770862, 146074393, 448828285, 123131600, 480165499, 318144199, 485481918, 924427704, 784137743, 114205664, 582652572, 785524683, 741501256, 661776278, 133438654, 4006172, 386432524, 725888498, 755756547, 3680007, 316027353, 448160006, 398810294, 515445604, 620572806, 512121573, 466445888, 931093571, 580919835, 314419761, 617687804, 842032613, 846770922, 907206263, 347278080, 286460903, 652945512, 554115165, 260646233, 815877527, 430449681, 691984032, 89028337, 588521566, 780085387, 566355042, 429913487, 42789379, 99829926, 936705619, 679335571, 998726690, 85328008, 501063127, 740141131, 46162349, 330414828, 402696027, 732745281, 262969170, 910343505, 586070865, 163887961, 66025593, 972354619, 293850591, 576135593, 265996767, 607334905, 749207587, 569041329, 855150047, 503777289, 6173687, 178315177, 750762154, 51424231, 33796580, 121052392, 908308829, 581431255, 258924928, 973320903, 93366171, 6503797, 597217665, 314985936, 904172156, 911450384, 521553619, 749588040, 265243981, 654167351, 287452972, 356166895, 8220813, 732956100, 550477169, 175423306, 99093909, 414975847, 757970733, 103969369, 66421878, 712006509, 989216382, 576890915, 795643276, 78577570, 360529040, 361812012, 433535405, 192629086, 925124614, 437961832, 49246140, 689999553, 565822180, 22971266, 50266551, 758288487, 744425768, 796441458, 967387998, 33430524, 188466216, 732917336, 312556134, 423963113, 168550387, 350690114, 145310337, 364558808, 347593395, 709636014, 945108455, 671566789, 828181309, 220065977, 150351674, 100734715, 261336962, 886771332, 943535182, 446786616, 758388721, 689367384, 284512716, 486842493, 81021949, 448822193, 43135728, 150155604, 740667260, 854317117, 8326871, 371001426, 363448344, 933716475, 360341510, 318322509, 539834538, 345588807, 557888330, 809321779, 998910262, 639440773, 165269137, 524935848, 640240621, 243339118, 726981224, 35761187, 494300067, 992653190, 92210298, 302996144, 846826660, 720653338, 875143355, 181138170, 671299202, 991940965, 196195445, 78536551, 448296750, 535525141, 373413194, 833686775, 114915586, 990515304, 728587357, 152884375, 379621636, 222320007, 492198611, 4272683, 57930557, 436384161, 827997364, 905778380, 273742775, 508179215, 717769547, 608948993, 196291324, 10164407, 97813745, 35222133, 930891959, 874410288, 124259331, 15608370, 256325131, 244234687, 556379437, 586206779, 952021692, 4652030, 915043394, 279008014, 857429902, 890220512, 302201939, 305407260, 632865272, 614380002, 281205725, 363506537, 604314400, 381833535, 843581038, 78161400, 951559833, 13260176, 67211565, 923355954, 471116546, 800607159, 392937123, 355406020, 429844235, 134255046, 571160861, 903721209, 517550733, 489520853, 449706526, 768047558, 320910658, 674021521, 748448968, 182146580, 103076942, 789593777, 718666274, 640505281, 645430243, 947556837, 787598027, 2447642, 687442132, 752080623, 377867102, 26438417, 285016861, 150625668, 213166511, 580501556, 895288605, 21849366, 76661503, 278969455, 336497719, 728774076, 572103279, 101179756, 395689447, 195837654, 367345598, 212884006, 380505628, 399251664, 621160694, 51374556, 483240249, 487430698, 607534604, 1265225, 3814582, 277091546, 86498077, 843280645, 652299465, 665046698, 777145470, 949576078, 919101823, 102172560, 445094612, 725426868, 608555580, 702831769, 948159218, 305239540, 238834963, 984564673, 875005929, 596713859, 323332952, 689390217, 768867673, 645201655, 764042, 693748458, 839052260, 533225787, 134814176, 112977608, 451705762, 353507570, 635959353, 236190195, 684703195, 950210278, 522455419, 874025269, 539316458, 70618246, 263142310, 402388511, 250550480, 415389268, 82120625, 919423747, 130436340, 612149658, 857098793, 635436421, 298044755, 274240289, 791704955, 188248531, 527079831, 106711311, 142292579, 995950961, 538302240, 446367795, 345896290, 593940199, 729119924, 588586887, 318247821, 581677648, 119619323, 281906093, 32473029, 115250540, 112412175, 200440251, 32892598, 547188426, 630902521, 896831693, 652447848, 367094549, 659014251, 319671390, 234757003, 119199673, 412676452, 746410992, 948009543, 83549541, 374479575, 153730521, 580637702, 702148014, 718540177, 290767823, 728891921, 522252076, 617334404, 112229197, 541078048, 159257113, 7867766, 842253071, 698509123, 662102712, 157891057, 605074508, 166898048, 299369023, 705514247, 61129316, 609592887, 54622497, 742051540, 961673077, 479640496, 501242301, 492355489, 33192801, 58929878, 590529846, 994315046, 672700733, 745347663, 138111583, 149966276, 143359000, 907138084, 740297667, 356753525, 810983284, 275490430, 335309217, 402040636, 113183122, 121827608, 235136141, 136944699, 794596195, 101620600, 101356116, 529328847, 543773557, 329274294, 822747538, 157113429, 130781412, 762096006, 117788692, 463288359, 84406183, 694950174, 439182551, 640180188, 45896175, 711520608, 28335541, 194745171, 256513199, 588647587, 72260706, 579066223, 76622789, 988431476, 681768231, 571557349, 206108426, 308365347, 351927434, 347234294, 867194970, 211950876, 83352767, 347538436, 486738764, 385008380, 206944845, 167218288, 441656553, 729442141, 31218597, 165022450, 462981471, 966786625, 17312526, 886160073, 63605608, 352032781, 724254796, 458418470, 300258250, 797537678, 103091768, 508639908, 582601742, 69160514, 524344508, 921469160, 684290004, 960835534, 790792909, 605677796, 652058070, 705722105, 715635774, 817248874, 814798346, 837351320, 92156489, 517583077, 593686690, 491952271, 20182918, 416203831, 644639432, 751787226, 694486520, 599372209, 807482998, 702800189, 332947502, 767515368, 720786374, 443407723, 851541235, 267059886, 13120877, 265507666, 339745463, 527016810, 255476210, 383833261, 362817658, 462343570, 359888882, 854639004, 180088620, 126054595, 781159544, 415054174, 836322486, 214834785, 814291788, 884083440, 933117201, 300331476, 215612967, 619499992, 838368891, 744192967, 514277829, 277484205, 924588935, 948741289, 529606919, 205840555, 859671123, 714555037, 418752497, 740745094, 373202385, 475986548, 426404826, 598371597, 881872059, 725466107, 838033092, 251065961, 518572785, 973614068, 358671356, 523079572, 581886104, 190373165, 710655515, 148435561, 514556787, 265975399, 158694963, 592201651, 393982414, 116907114, 18774476, 267727985, 565861600, 977345221, 35694974, 564332016, 563486065, 846820962, 17295085, 335825297, 482399932, 592161546, 820847705, 915928866, 86202501, 471533606, 601397679, 844104879, 776807282, 233250642, 627783162, 96993327, 950345122, 163764005, 314101301, 571875420, 746320579, 642132945, 137155361, 481530459, 174853581, 918875362, 1975755, 605177242, 226225923, 177742603, 844323421, 810884044, 555677759, 79497713, 377826339, 610642968, 578006664, 139568262, 165854549, 46384806, 514124993, 40308798, 925812329, 139829529, 994305424, 708539986, 976091953, 41557546, 628616343, 658586918, 506436036, 623734761, 216291003, 923720287, 369847886, 752427129, 499311111, 810064011, 814082952, 69323074, 666344028, 954212056, 19988714, 606530788, 189967179, 995784003, 16047173, 420825300, 170173386, 133436116, 625221852, 436193291, 789814167, 440076340, 366889481, 190965736, 908369814, 514714179, 230110170, 206436257, 939506575, 871916997, 383649762, 678053254, 817683914, 958637682, 500964256, 903768898, 460325249, 87109913, 939904830, 236353841, 714548688, 796494020, 918150481, 369418962, 170957760, 712939054, 334417753, 268423866, 73462369, 424452041, 663721720, 975462799, 396085637, 973280899, 510757734, 398573614, 766458548, 742412326, 562025113, 886673004, 829838767, 228596774, 546913595, 319267377, 618116543, 572381609, 247803977, 683222864, 574238157, 963202487, 236320086, 687400735, 297793516, 997245608, 996675339, 635389552, 669333082, 512592751, 875932750, 587799853, 400301033, 183615861, 798816918, 408519968, 68351386, 518277156, 531732896, 257180482, 170457528, 872466126, 917011781, 797414255, 808892818, 591081809, 814149636, 51956910, 591285933, 912284219, 40211521, 484229477, 652082280, 32607334, 143137295, 31508098, 693890111, 983841694, 362188389, 975709695, 136798120, 470861519, 726454632, 777775897, 74554038, 600007123, 975277766, 378266830, 926726922, 277383886, 464475513, 214186599, 946026087, 990651332, 838152604, 190806448, 574979778, 377618150, 549120191, 548735400, 836621467, 289366065, 301678843, 736623427, 778024077, 648990288, 363167715, 343578453, 172820553, 60469571, 514153788, 885828331, 184109709, 704502930, 375243179, 783831224, 956089071, 524611639, 664039469, 657044376, 45821405, 403901760, 309865518, 162516413, 485079541, 863497440, 909298281, 138352555, 287667575, 772465015, 154139049, 966595683, 707605772, 261623709, 967412181, 746381320, 444297756, 822642392, 417734384, 583335234, 20938289, 48565750, 165112854, 195112866, 574145244, 837642490, 393557688, 575234190, 505366293, 608459422, 630833743, 535003335, 297717540, 664507419, 546406516, 306866781, 406383694, 616300997, 751355597, 342804699, 910165382, 964927398, 441237469, 967548193, 965224995, 517407605, 548964671, 257203515, 951896096, 813607533, 212172964, 844621016, 833880666, 116778311, 715395590, 739440330, 855738413, 105265552, 335691010, 206747046, 690726422, 797075350, 352003689, 835851624, 400325479, 308260958, 346035373, 442656918, 230079243, 63303473, 877454663, 229626540, 204580209, 960532969, 395730592, 350735387, 576696996, 803012971, 809656807, 3618355, 967627547, 622134835, 526616133, 140525826, 268571333, 828897111, 276965627, 112774079, 117379394, 740770889, 965999849, 408260028, 229816352, 86820168, 738520095, 713573005, 936718587, 954798030, 343553637, 930143139, 669853668, 916847824, 491469648, 910005358, 439304997, 525730225, 167187626, 462231352, 622874111, 713309510, 875690786, 478500732, 78288328, 507677229, 790494831, 811364957, 184010585, 799805178, 730724044, 868051588, 377989506, 29537517, 754779310, 232895193, 114094357, 364202175, 997595654, 148406441, 581177473, 140622653, 377278303, 755372156, 802106099, 109903959, 357257187, 52944000, 106332245, 204056210, 178777762, 516148652, 309427725, 268026408, 969916428, 470534448, 246331814, 387812310, 345033609, 754098486, 414293223, 453065975, 101261953, 848156122, 696644732, 72209275, 44605820, 58132560, 829477489, 541643812, 626315204, 863179246, 344220950, 350262847, 295564615, 893181089, 127954018, 794621593, 809889944, 66315717, 918374213, 415739652, 314200715, 561461893, 591222778, 255456333, 657932189, 41387322, 958871154, 394492291, 62409540, 66845475, 617426176, 38427431, 689922529, 225019980, 79881242, 282018028, 231723183, 212854585, 541772964, 156226852, 214136510, 145182052, 738664183, 545629520, 243607098, 168561793, 482831232, 224564069, 859918554, 298393624, 723108177, 263764184, 606885679, 405260039, 782853984, 942773706, 858010793, 317040396, 372623895, 360119900, 448879090, 979312313, 974444185, 797731091, 716805321, 742897805, 618589214, 98763294, 756726084, 581269868, 954129205, 958963189, 310176652, 834512723, 670775430, 174788124, 850579096, 585431497, 722812427, 759213863, 490287745, 831689039, 922467142, 696922554, 785682700, 175926624, 620552534, 736950255, 533713670, 425658853, 942699412, 229529841, 374935957, 54580543, 105072495, 474234464, 961263354, 241128930, 903246729, 592029225, 421555294, 681196577, 548010014, 103316, 110604608, 752802736, 392290456, 299288989, 55279192, 260505154, 447368382, 548687811, 187475241, 526814002, 393126442, 964601207, 732492074, 776031440, 18824339, 157272679, 552894273, 299178330, 622570469, 540305334, 267480888, 104480997, 451748388, 544848403, 529126230, 28433533, 889776765, 298107582, 49055241, 553490657, 603577810, 199292271, 570808346, 115259339, 874001441, 534897623, 260309741, 669864151, 274002666, 434378341, 59093172, 241490240, 889351732, 546051358, 776028130, 975218997, 513662934, 51350118, 418526118, 368124381, 193661075, 260676459, 679778823, 508333692, 798758724, 330941489, 496912187, 752928666, 650746327, 777846048, 887359390, 202860897, 741661107, 512808464, 150378939, 651102978, 616653925, 561971174, 416022321, 766329169, 572247629, 923113215, 64290191, 143539847, 936112167, 646540992, 113423996, 190256883, 643894838, 146101704, 787301183, 670244118, 690513637, 613288907, 285001559, 731086073, 745125216, 473397184, 156355772, 797820038, 644883565, 378048450, 938548768, 805419473, 79336369, 497534273, 89824224, 46524778, 528241297, 52930953, 921415150, 298446278, 715703330, 93047225, 193361757, 837871629, 541375564, 261740842, 694746933, 931304646, 463720414, 968656529, 673302817, 637062984, 294902472, 767777728, 643308096, 405908621, 203699692, 703291394, 888569860, 997458205, 322949296, 487472528, 884812371, 955657810, 848222499, 754087402, 678646662, 924056413, 350935853, 622287912, 231650902, 365136259, 127545277, 527616156, 532021199, 153368739, 844769644, 742013261, 643028109, 957098590, 636584375, 279938118, 437649491, 344028619, 395575744, 153715216, 747313672, 974451996, 183963644, 673854265, 876986776, 569696459, 494424661, 797935409, 228020199, 949092065, 372368128, 667572933, 420327981, 1370335, 583841631, 697777781, 486099808, 785253809, 656856245, 244920094, 276729760, 636611249, 810298230, 336688525, 107588674, 883899196, 852569404, 922936432, 376998422, 129391477, 309405037, 86084464, 165458144, 120249913, 777756242, 693966639, 308115720, 507793432, 318181301, 45509756, 368088879, 27270357, 544804237, 385501086, 90311234, 538802495, 277587147, 352853136, 416758375, 132824258, 310959610, 979154124, 426980530, 259941145, 107852094, 494516905, 46266440, 388812432, 543394319, 75513376, 820288092, 961358905, 834709709, 534404831, 273670225, 114088298, 888023312, 563029788, 831754580, 640137162, 848968006, 500333685, 262734260, 730921203, 510137731, 75085459, 31524303, 360124208, 817394038, 700694434, 504215125, 422750041, 117525523, 645625810, 685883801, 538280266, 618751352, 844051982, 824694400, 122700181, 554842785, 202819432, 84963850, 33122832, 710884652, 543924158, 393669286, 293148500, 618325522, 451748303, 93364102, 651656324, 810837588, 842724532, 624100345, 202576090, 278839967, 619233854, 138245890, 531993201, 955415378, 968933407, 231652559, 239989792, 625300805, 326412969, 304691922, 726001551, 454028242, 540692052, 318552549, 229046176, 263958105, 938619911, 820922390, 241280811, 199994497, 852390652, 496387300, 324549679, 525886114, 801341270, 961848584, 973263389, 875200369, 20830378, 104489555, 336584511, 434771737, 318015650, 608547183, 478510296, 453704922, 812850446, 558796171, 402541731, 298144835, 880218326, 375789452, 318049429, 516220155, 983356741, 554155888, 624579266, 326474276, 73030277, 271334365, 376360340, 841575065, 531123959, 966203342, 124384881, 325298762, 805462972, 903819891, 211737550, 295491188, 945831876, 84956690, 101494884, 271001641, 483498391, 654500109, 679057882, 182503314, 8271912, 998633409, 394831691, 521708181, 1733360, 981073300, 815586090, 23307717, 367279229, 913024195, 563223367, 522341497, 353604960, 261125289, 695608402, 659718554, 389350797, 744022407, 959985168, 946822462, 734090527, 673247896, 326684372, 201903352, 877575705, 428992706, 23097332, 668053307, 261863569, 497025921, 301281076, 628203416, 637426684, 971619874, 914024705, 173042595, 574541671, 141718678, 76155353, 330917248, 837135062, 865772937, 977707271, 526053051, 463987019, 704765315, 907581884, 704683974, 163747574, 131418646, 922167641, 808143644, 908329057, 303032182, 612043648, 423055338, 897818238, 929999257, 867327269, 813737015, 41055413, 64312266, 943548738, 670789200, 208823035, 666075126, 486507924, 977897216, 14083940, 463257894, 193836813, 121049423, 884681659, 647149181, 286624458, 837287465, 851039543, 266229318, 138013656, 407873925, 146351768, 6461417, 19790310, 145337811, 459796400, 205770054, 610896410, 216382426, 497877457, 220982427, 533338440, 35235941, 228828120, 540433982, 937868595, 457529904, 775382022, 170636831, 738587474, 896698823, 731452782, 174735832, 768963931, 959201248, 892534846, 796155143, 993599708, 325812466, 727949402, 936582172, 435464621, 129491508, 574739847, 805699668, 969529719, 983159066, 920090744, 279231607, 420941210, 628466093, 476189556, 361221019, 896718588, 838297276, 189675788, 801836161, 885155347, 919495226, 554381996, 864331629, 229688629, 393033443, 66629243, 825891248, 954463244, 932652174, 915577304, 12570300, 245585503, 761742809, 433436171, 314215816, 992792055, 739448856, 73408006, 380659340, 557352292, 594351226, 869898295, 700987861, 760080859, 747512073, 167841934, 67684137, 465720746, 697935998, 587014785, 169388310, 48807224, 347743558, 17088195, 264885854, 23567704, 118589031, 336665382, 583116593, 47190533, 842054386, 361208602, 97590652, 697747696, 650830564, 424799343, 925806356, 615333311, 582652316, 624785716, 414369717, 577624611, 317390730, 605320126, 505479316, 368912816, 290628717, 304203636, 620396991, 868991186, 432544075, 86910624, 535913876, 772885102, 706254863, 651857165, 187870985, 831402038, 924587296, 924664917, 367243432, 286382187, 253488200, 620685168, 71462529, 51652042, 884763792, 878543922, 969793504, 778235867, 690915499, 75242353, 462398210, 181011938, 975835078, 717009334, 649422791, 642534333, 556367840, 773427096, 869479473, 492393490, 406156169, 663308230, 699624795, 502565425, 947613072, 282862777, 533960178, 399795559, 2897454, 648019625, 607114054, 862256458, 765700750, 627843332, 906470411, 855896066, 711876680, 503463710, 53435759, 653304614, 618735109, 2520048, 791095687, 210518110, 278536522, 715432822, 413748074, 13825926, 570414886, 43330261, 508286807, 370513167, 963127493, 617426133, 698024031, 585147351, 528251733, 95747763, 889793728, 368695373, 365409780, 897444625, 180038609, 852221481, 506333721, 446194484, 707776564, 670636962, 239242608, 663159594, 261470371, 266072023, 63621171, 226576323, 572530145, 521459548, 220305602, 868747307, 533469765, 948499024, 983084453, 351267715, 267174394, 129163979, 911938522, 821218787, 673888726, 281553664, 141905811, 345693441, 3061218, 403301258, 373606973, 955542405, 474477831, 304152305, 559630926, 655843896, 111429743, 728649639, 747637555, 672528639, 911153022, 55536710, 990659043, 585192843, 182212583, 745691071, 270185474, 669134167, 923040067, 208752837, 612966100, 15761230, 76441109, 112132922, 278790166, 190036272, 985101917, 470645049, 54110323, 137007610, 379547925, 848153406, 213615407, 349419123, 354257302, 46443141, 693748681, 35650369, 285209127, 70458428, 917103937, 379559938, 657219180, 684443474, 258121732, 114563761, 688607795, 46825595, 369563350, 312896632, 883719848, 835386317, 392121970, 773443188, 352794456, 389876434, 907422259, 913047329, 958242946, 172819754, 943027992, 990116219, 409700441, 476429512, 787438359, 835866423, 640795449, 782417639, 188839133, 389440421, 231910453, 391423604, 577397638, 271951130, 256892007, 504544994, 72475303, 750058158, 957550601, 603202204, 119921061, 929877118, 866291830, 78607519, 54856254, 761607881, 564490323, 443778600, 276060, 904949601, 512119573, 863851348, 882560479, 46747771, 619953152, 798826966, 618100748, 961303696, 699784382, 414698315, 832616899, 206473507, 378238932, 314948390, 229257613, 597805436, 838045122, 703226114, 961950848, 772637058, 844993324, 289781949, 339892130, 954599865, 353379600, 489753665, 593581183, 641192051, 924391467, 748675884, 771783268, 814840638, 346307077, 363027924, 196193152, 696890534, 1898295, 195867604, 281935631, 349469309, 62392226, 518752655, 668869286, 513459529, 825537663, 207438347, 200886105, 95927475, 898231708, 311857667, 303103955, 756348020, 817469020, 984435664, 303951566, 494857662, 72059534, 843232879, 490799439, 606537732, 125501174, 24138707, 877100041, 210278819, 488901650, 868829846, 402277466, 561975466, 593648660, 803853049, 279263031, 758211196, 978735008, 687464078, 414942997, 352944044, 291803839, 464016197, 74501185, 705684118, 202939956, 337435526, 57406528, 76173907, 280988603, 615436383, 896316987, 780307796, 805789434, 192367414, 727350854, 220133602, 981066016, 736990970, 434947406, 19473967, 133764983, 20372012, 414948469, 716916654, 153579710, 470082689, 370480552, 856231050, 494752289, 386715594, 327916578, 94407789, 411095555, 873175264, 320965070, 652683875, 593710782, 419560103, 413489491, 918367228, 981964973, 825510625, 872371687, 153374157, 99528025, 469180715, 41374940, 10661702, 127432873, 176499171, 247632838, 28855725, 724609526, 753367677, 629498586, 188224904, 281666628, 48255296, 227688489, 366307144, 478476068, 675526919, 449066592, 407053240, 623264708, 794871032, 739087283, 453890992, 449307919, 284457874, 146279027, 818402649, 679932333, 432824782, 187149426, 984466640, 881197194, 62498977, 871638480, 152189637, 793361722, 876514128, 72578044, 60299321, 744553331, 376322423, 802772736, 903881822, 270139825, 728148750, 496642480, 235702683, 829846084, 362504806, 819122937, 136605321, 408911094, 679292971, 817110185, 279659665, 655644079, 983303651, 22571127, 232499558, 723286524, 594819293, 706753, 669012845, 563116331, 306625666, 777347982, 32653856, 943521027, 123128225, 755510749, 761196725, 327977990, 898041841, 278262408, 489718575, 265482004, 888405032, 38749287, 42953476, 525901400, 8319378, 463846092, 926140629, 472358581, 712784375, 461241792, 637042695, 392668547, 774435992, 904985831, 809379149, 906772679, 356921994, 869609733, 307633214, 546285988, 751173825, 316739098, 872224946, 883574556, 154141589, 746560056, 934826845, 981943199, 332897410, 2192, 652659492, 626223938, 387238229, 437990088, 131867652, 562809824, 314248031, 367268403, 182497570, 196619479, 169065008, 99532006, 393674437, 156596841, 12237272, 810432365, 496782445, 219450011, 907385917, 440651774, 854629510, 649893485, 847961502, 335849109, 863972479, 366563946, 990043228, 452212651, 758677191, 179492606, 257029103, 680387388, 747003452, 551649481, 752968972, 500702012, 64827185, 317750181, 597669587, 793871948, 258572069, 611468028, 835687165, 795287851, 680499159, 642156482, 483113001, 751817252, 785782371, 779387785, 588656163, 195969465, 553523677, 191915494, 381944650, 992395720, 763166702, 330684827, 319080506, 356591004, 358963387, 417076669, 989562486, 666780197, 166517154, 68239187, 620755772, 797364933, 746193157, 753436659, 619116506, 262096085, 374604715, 235032778, 316526106, 675211281, 942030934, 580470502, 848328200, 801309946, 691686581, 468829606, 968653378, 821231476, 283512738, 910427233, 414916605, 673897637, 221420052, 174227146, 263469889, 828944097, 133276303, 145172368, 155652747, 604895642, 13398295, 52866090, 800533100, 66202985, 366176115, 239960524, 784184848, 727224596, 215864718, 464586614, 400637718, 278707855, 231274670, 493024974, 384959339, 327182263, 681836722, 1425502, 170848405, 852952063, 512215945, 524087766, 22386812, 241321806, 733305400, 85168158, 911982138, 938762810, 807243527, 960412269, 611915491, 580206772, 479169536, 773921779, 850340623, 863853171, 703856303, 104817945, 414138279, 356272630, 809828861, 225313893, 328924744, 138916155, 774761638, 20477613, 775339590, 2095187, 494071825, 681301176, 334616950, 861299875, 84666172, 255968476, 435038569, 963270119, 749326859, 803471911, 380934107, 518705272, 526366651, 612940506, 434537501, 869967534, 793070789, 628403497, 735211557, 801430813, 753339326, 634215190, 266088866, 627964573, 913513334, 353879708, 928825037, 48924605, 511356261, 38896469, 946152284, 589227196, 217769624, 524339629, 880557584, 973126164, 576262072, 621373243, 897920455, 801029673, 23473871, 885288683, 206989449, 953633798, 214411392, 65399981, 215220662, 674027851, 228118843, 675384815, 903463287, 315499297, 865546196, 771618671, 864693478, 903231528, 818197229, 524529171, 544374741, 759656066, 568272127, 938331296, 112098492, 2932350, 331032221, 834356094, 385721137, 346919086, 265108169, 89006657, 321412806, 780716939, 602672244, 141595305, 309770166, 316737199, 18823443, 580506550, 766325813, 372558996, 546683400, 701595816, 937668533, 134496796, 372555898, 500867674, 483144886, 173767011, 875040205, 933243915, 463752814, 990019613, 868571030, 821143544, 365914968, 513232273, 138097226, 931489576, 509974540, 42746507, 670176996, 159930854, 520693754, 177316886, 378952239, 835134520, 160826833, 33246251, 412463466, 616079976, 238365215, 806334674, 910755643, 638145689, 151489829, 575796417, 687338838, 545700703, 102399534, 789753507, 58350680, 442301973, 30380040, 187973969, 276860293, 10529067, 831442762, 630077967, 279979080, 317145227, 402757723, 448376710, 283665824, 250503898, 562160239, 699418723, 724642398, 830887049, 686912263, 821293871, 304827466, 858702880, 673553952, 263619072, 807263426, 435919415, 368372407, 59488916, 894694580, 322481730, 114673702, 697100440, 710855958, 970701722, 583336373, 220582845, 597506983, 982082689, 685538597, 575305607, 907832241, 402461991, 273790957, 854985014, 572506407, 125583006, 950846781, 914035741, 244386812, 639370920, 882301012, 70403363, 240678140, 116984746, 926738015, 499810131, 307116070, 581717037, 523561535, 533818737, 591788665, 123261521, 821122230, 204218381, 314369989, 749931467, 876618459, 852048349, 6787268, 112383575, 951515500, 828254046, 255907460, 701949546, 292335717, 738305791, 171871042, 344046938, 483761272, 899921774, 531439472, 512192278, 744121463, 273221131, 663835209, 283349758, 810905617, 668774437, 742630923, 951669268, 20262547, 954062870, 85094508, 304289258, 744382570, 237733984, 369651623, 631869267, 812046294, 841468127, 610262965, 169619291, 219031916, 749070486, 500573983, 509939606, 948227668, 418079994, 11345757, 55409260, 428443074, 825950974, 959448611, 285932813, 979603257, 231016137, 253935485, 202239244, 44862852, 621198066, 112343872, 340251770, 642119138, 317838637, 670666472, 243905799, 43647893, 296603849, 53734137, 790739904, 271564605, 153463579, 869031470, 386763986, 363268245, 182311775, 178550421, 562876989, 953731866, 174749993, 964766427, 351253755, 61898172, 232105211, 765995997, 82723579, 599246905, 813897906, 534174540, 238843023, 587948238, 55893034, 789444599, 691753337, 871938673, 8492792, 996494073, 331645288, 410844443, 842939353, 627009904, 434701566, 835611615, 208435348, 440497456, 227263632, 456340127, 620600643, 555256227, 935559527, 151326051, 513686259, 633111404, 952202545, 977264058, 601176787, 550454344, 165360116, 503040520, 966177170, 512706441, 838117112, 777503711, 41769242, 941287258, 887075868, 537603585, 841954290, 133614728, 639392446, 160051215, 324125447, 216552251, 206892861, 870764285, 439658762, 565788743, 277979466, 10672797, 710944034, 937184274, 504950057, 514111568, 560043214, 383053697, 611601853, 395311310, 915211197, 153517563, 414260872, 247966997, 743366467, 69049348, 693593578, 759566784, 625345326, 272326369, 890987210, 382926800, 929615019, 457952276, 797747600, 652953311, 818560872, 390836666, 725431654, 618648367, 279471663, 586959178, 294910482, 945650237, 420662031, 491649396, 752279352, 369776382, 854263467, 76197636, 339083422, 467960341, 959032798, 77114530, 659033178, 124382220, 542412067, 654100584, 463524931, 702265410, 453709769, 286992157, 947547399, 552268277, 77053605, 93655879, 934568947, 782259001, 550413858, 612339465, 102301715, 379092377, 751581432, 889067106, 351621155, 718616573, 173863364, 77456891, 112578538, 234736818, 817054906, 814273416, 589371334, 397942708, 671385688, 347777130, 862811763, 103776448, 214558890, 818315771, 705245078, 902724873, 768969227, 422505972, 585029973, 939561420, 549166931, 543967578, 901910321, 869958186, 525201714, 249684770, 254188801, 171196413, 515233844, 402295930, 364261582, 931537296, 613030428, 359513031, 214497759, 499339645, 419728029, 86707024, 152069141, 199106446, 839584218, 685998841, 494685727, 962252604, 843093542, 619971564, 558751181, 593634291, 32350899, 354419374, 384307361, 200086528, 874380977, 813951655, 835051669, 192515333, 322407463, 410128619, 621928849, 111367893, 759580082, 569442893, 414021718, 477216891, 705437820, 220428195, 637723943, 960600264, 660062620, 879263824, 785525176, 499075495, 991708110, 70212211, 543366829, 998892058, 658238906, 335226321, 255411589, 171095638, 35336097, 88045685, 516674392, 604824830, 282614942, 467363071, 937726992, 293574475, 740468107, 921395707, 102048009, 781775711, 817436562, 662861176, 680822381, 913286867, 868115140, 856559913, 936252239, 544047844, 807258620, 348007488, 630232400, 577548559, 918871453, 162069086, 462953792, 140346420, 760974628, 187027244, 143693210, 548272498, 998859621, 507380742, 264068531, 246695758, 700749574, 259632007, 911157169, 526405378, 753207981, 992651451, 162251620, 763742336, 453140470, 765051969, 95027403, 115246976, 554700724, 240773467, 666447217, 920450966, 339452127, 435307216, 684789239, 696899235, 406211176, 474321440, 686168095, 261363031, 140157882, 686167015, 401692372, 33843209, 854881691, 643023522, 461285456, 40306365, 538707044, 355186258, 141415379, 873736472, 552864944, 561575598, 582663527, 861505696, 483692851, 617786289, 33622286, 59305863, 185445432, 132057046, 83325193, 700279367, 248949535, 794270548, 633292845, 392246441, 627081523, 309418022, 440714786, 271564458, 139402603, 867248507, 51941491, 514688719, 369906224, 706623176, 252719754, 461989536, 668429032, 172217529, 414713756, 577129402, 144164339, 350826227, 188476444, 603148629, 595696074, 491950060, 176904094, 86446972, 380922238, 282530120, 762684183, 901464170, 314901133, 982751785, 645243466, 607373047, 130625862, 373695176, 985437769, 674297946, 454581226, 190386942, 166141975, 772535195, 740268300, 564560496, 777677913, 183871958, 868604077, 686092057, 396801196, 446703630, 495536090, 763121335, 889019709, 292783739, 673508260, 26784746, 531850867, 296677124, 750936994, 287475424, 34844611, 454725016, 992648457, 717188185, 996038577, 490056308, 119204302, 213522976, 647999798, 489638342, 170075585, 256164762, 426094260, 751528684, 927998702, 396215993, 718894230, 200303980, 738997223, 233041063, 869928386, 962123845, 202328896, 769435799, 172638025, 861810940, 84211097, 626622989, 190170802, 266205836, 810016256, 265995887, 849350948, 663581160, 353099647, 678426999, 664962987, 643085040, 25887832, 129251781, 355235736, 726899051, 944520516, 329622253, 358289405, 395719534, 656712509, 930908775, 878791776, 918347047, 941546078, 795373863, 179994037, 202069273, 273982607, 413251591, 402149349, 407039272, 997800486, 645823083, 609409490, 74000274, 501908033, 718480230, 789439895, 462663407, 985294033, 562302668, 859085962, 104692311, 810663630, 646417821, 325953929, 127025698, 355768988, 905947346, 143277169, 209953702, 177468524, 467175525, 377856453, 800332147, 281981444, 904946709, 921687584, 282246627, 281142151, 424066820, 683315601, 998740707, 98447040, 745844050, 19111410, 885818644, 593360181, 450529245, 523843454, 554810586, 916020529, 795628593, 655833327, 498538488, 205334456, 306836339, 232600986, 205430942, 272839032, 729618383, 109394413, 644666313, 750743815, 878411744, 27686645, 581847396, 238038122, 102028393, 835920451, 15269968, 505855777, 602560490, 641483593, 26827159, 108427466, 956039161, 508072119, 71997470, 440033082, 26404842, 957766654, 313490725, 846287944, 770188802, 730840959, 54720803, 919212602, 250388658, 106328127, 139035218, 992422758, 327038616, 401339945, 529578197, 294302563, 346836174, 644651888, 94816095, 849779382, 951717157, 967478393, 388407598, 454986195, 995850207, 448423420, 263375322, 332884750, 434846221, 552938789, 407863623, 286125942, 574892709, 347713260, 910426646, 173874133, 764835097, 776069398, 609154922, 991855903, 107618076, 629136123, 307847007, 710076398, 166180463, 132295215, 511807681, 925259475, 15144988, 595827180, 956118659, 457421448, 166203219, 172453806, 309993096, 648706719, 875470141, 123393178, 606367504, 301411557, 21232050, 471170024, 911759285, 538311690, 913477377, 276536945, 584653063, 431504256, 589948931, 929968121, 914272500, 674461041, 625871554, 985355345, 220512656, 656127555, 926799244, 351042012, 697774226, 455568888, 873323637, 22107964, 796360945, 383160754, 7965890, 4636079, 97766141, 199182741, 625620074, 959437964, 747976098, 968186125, 909303072, 922451235, 292676973, 489358525, 475244730, 276223295, 175500938, 986401594, 785461472, 702302204, 177521210, 738080648, 156839724, 323694006, 454667, 82688268, 665777686, 583646325, 450911548, 942038157, 885784486, 529519020, 143759998, 237787826, 723142937, 399932541, 381598105, 68932071, 409067718, 367972030, 843652452, 630818834, 208538886, 548742370, 625665752, 141164744, 216918345, 328715435, 647325440, 187471841, 922012491, 841947045, 797498633, 481945845, 507729020, 636881455, 310536307, 188347137, 995412217, 920616152, 267241042, 924676700, 356682078, 787542506, 421654194, 598596768, 585418037, 835714984, 515669951, 311327507, 766524617, 798783660, 999857825, 495995025, 604693206, 179066278, 94805248, 758649557, 453806947, 260316354, 476343544, 593943328, 959648862, 332920281, 873954041, 236776059, 839993753, 663967576, 454079509, 132631797, 383783558, 21474045, 703489551, 988816896, 245887697, 101112590, 795143314, 466929806, 850272713, 717600851, 752962425, 414648026, 192933053, 385061867, 995833406, 639520374, 20404463, 371949057, 834744590, 858149917, 18724796, 518922769, 689570604, 95738871, 827760861, 392519225, 804277944, 62006701, 751363400, 839853665, 28821129, 695163928, 65758410, 897498003, 137192909, 706062514, 396336913, 175332144, 326725514, 421460783, 410709110, 933654864, 346968131, 729740363, 112342416, 209813611, 831488109, 881117074, 106353373, 975587577, 249848856, 714344519, 46434118, 732584381, 617872645, 294267140, 950113638, 552897151, 393794069, 123953149, 622835242, 943734817, 882159653, 111782873, 510722136, 862207302, 837919105, 271729829, 206197516, 90227504, 695174798, 680799556, 393831093, 516037735, 539915772, 284516789, 899235577, 208359898, 419112869, 459972800, 787051369, 61234902, 821522863, 266996711, 20286035, 526426786, 114015659, 905902746, 178018333, 84719735, 692149934, 138193549, 1807567, 95759683, 285196713, 156237164, 816796678, 491360690, 872060141, 183696997, 354837137, 324939033, 70524281, 64893916, 61196968, 217390066, 309803538, 327981913, 829204157, 222229748, 153316764, 785717225, 7285302, 335434214, 224435104, 395044035, 869620696, 983474094, 561990986, 7138215, 724165029, 537359771, 442392295, 214472757, 388115494, 999724473, 116134487, 925708176, 746427493, 66439494, 388110990, 695779202, 787660736, 190107323, 811559999, 745417727, 443310769, 275424987, 133133837, 820291374, 958741339, 246153527, 86591325, 939988951, 617124214, 898061442, 790179316, 739813209, 230639713, 557133055, 69014343, 36224542, 362472253, 656301172, 233606164, 107307741, 672115472, 137033497, 438401678, 937910960, 718467982, 866662565, 853247635, 819192886, 385931114, 456696865, 343695363, 925106189, 556664530, 842187059, 289014425, 979935624, 943427265, 108276470, 37109300, 996374235, 723841051, 713359382, 636128082, 700513246, 9762195, 679089480, 972432725, 59538558, 60141790, 197446722, 475606973, 207152394, 949822816, 667573484, 554375829, 805701045, 52118162, 573417072, 38618014, 379452772, 734815007, 279448974, 165855178, 837684185, 303266367, 42775691, 170054897, 152941720, 376346090, 80027775, 196385699, 666741353, 279200277, 598319876, 565951881, 223948077, 829086261, 404416220, 765857935, 32132946, 773944329, 323122800, 11380158, 700999829, 843122284, 284109052, 500783639, 986258308, 935535923, 125641497, 843022069, 438289011, 231629648, 520124168, 131854516, 889483637, 547741461, 321354783, 590548256, 408219947, 374068408, 833897018, 905627122, 322048739, 980087652, 964141892, 249046734, 355599006, 84387793, 582727503, 239545611, 676180110, 74197874, 568227380, 944415316, 395492152, 496507001, 384407231, 903594842, 93861193, 863718595, 245393920, 390032449, 220461144, 237393608, 498814221, 415326199, 870627747, 348157175, 452381582, 275898195, 245829230, 395004048, 238412407, 756000476, 799618515, 294766621, 653924366, 772578689, 217194004, 13383335, 323679355, 504209077, 924360425, 135691753, 86745224, 426518058, 469233839, 510890765, 747589077, 282204965, 929404088, 636660454, 388671559, 780383597, 410164735, 561408191, 338050992, 738720900, 839907255, 670353704, 971951235, 994241537, 388133760, 413989946, 323116881, 580993974, 25522031, 619596265, 318094310, 194066677, 510414573, 723471813, 92026411, 364369465, 998196257, 286942023, 417151157, 565231353, 709548719, 85073614, 113466139, 843769458, 654957516, 826079091, 226407387, 915118241, 808155449, 103804189, 212188916, 488368294, 348073490, 586046913, 833754902, 130789335, 159722771, 537679333, 347911397, 941887342, 886559423, 462310055, 218746555, 317818072, 162731075, 585011230, 212891590, 89999079, 627688822, 99201727, 533174107, 236405564, 941961201, 526654575, 232547817, 733145787, 960574151, 212417309, 41626117, 442141825, 106251091, 471526052, 290923897, 843313749, 30797354, 4809073, 565104219, 16440097, 701508143, 295751425, 679202763, 868158005, 564537667, 948841054, 881260394, 766290540, 11877525, 626151846, 599497681, 604976512, 16158726, 932435433, 563793216, 166588512, 220711642, 182313362, 932806038, 948741966, 514240338, 56127881, 483537474, 920437154, 457815376, 33219577, 831050238, 451738277, 486789041, 28341652, 548599215, 256184762, 688898843, 766956195, 603771139, 781991718, 632924959, 900128067, 155680449, 860135633, 491145985, 757838692, 130353361, 911118752, 446989264, 604834023, 405048958, 521529631, 83745171, 197353357, 756209742, 130616944, 989172992, 636866871, 241333350, 633921845, 54039164, 702823451, 304801770, 704209457, 392353135, 456796204, 920665001, 54635940, 475877781, 574356206, 887152622, 497741448, 172846328, 996337564, 496784157, 992776146, 774773305, 245802426, 424931427, 681676830, 556994026, 167411230, 470797333, 758489785, 750526101, 786197582, 597309187, 504526964, 8671467, 23352691, 259810451, 781155488, 558397011, 862411692, 761103380, 877706060, 762078887, 868157366, 949932214, 58952586, 375625154, 316169613, 766310089, 873718677, 63574937, 723738531, 766010913, 255660332, 668893637, 958316218, 422557891, 988679660, 454334828, 267919892, 200520728, 885078132, 275448207, 148544634, 140121798, 341414418, 832664314, 233224135, 333976464, 698067226, 855006806, 840885633, 343344781, 493507943, 909182849, 373882003, 132689307, 889316637, 394966380, 87683304, 639006233, 636737581, 381648955, 434811206, 341341450, 517227108, 332592976, 621581375, 147467541, 375198408, 265382654, 881133095, 55958149, 55528482, 240782512, 195961042, 508744491, 670326622, 349887885, 699892222, 76115330, 716658120, 931988425, 203111270, 957621881, 850792822, 690363446, 727887423, 788372688, 551675848, 7490140, 378795091, 207716683, 777135204, 214787207, 390293836, 539447117, 472749299, 495565626, 122014613, 377679720, 61316255, 971106655, 442328801, 134855299, 59144822, 11591070, 458031404, 679628737, 881979320, 948203981, 109821190, 133386303, 162204191, 886207836, 428164456, 582889994, 369724994, 959418687, 756309747, 874394586, 409049194, 744385532, 278195774, 166177573, 841648920, 965120577, 444912549, 709017102, 239078967, 912449961, 295180561, 335254010, 776554113, 124120981, 530049611, 26643368, 32945773, 166066492, 123378855, 454477025, 420725788, 525057445, 310175161, 493093700, 382996171, 122385563, 226927649, 831373620, 156248560, 462675930, 262829716, 5935627, 888163668, 713507206, 8986278, 118927471, 773147951, 306885039, 734202050, 709867921, 797477260, 696278355, 749019792, 633303419, 42997885, 303982469, 442995272, 893197299, 909642011, 576478351, 645157265, 984475116, 980047663, 738136709, 193569505, 953490128, 496633540, 966373333, 570469921, 528698806, 40725479, 772576359, 846855922, 755465888, 128372565, 927340119, 671731828, 211143696, 948582214, 60207593, 478378139, 964879962, 832429964, 67225441, 433276051, 611895020, 309039068, 297082442, 73835777, 329334192, 542586901, 265468861, 887258291, 191832647, 643018676, 859547521, 505247833, 61414050, 894904361, 305444113, 746228761, 364225994, 448600595, 17912070, 446492818, 88940650, 438043331, 600358245, 198912011, 824114323, 380919646, 111909036, 980712431, 143763923, 66540388, 91597656, 873215480, 187074040, 215883299, 874264350, 39685043, 815838587, 356722824, 66647109, 986271674, 114254662, 736392323, 195293704, 931358832, 643049545, 442727268, 322942283, 622183858, 611536694, 141575338, 650782768, 146605631, 107644958, 153116874, 75857484, 183518406, 434150301, 963273499, 604962360, 864625186, 940417183, 291733588, 813849297, 592422106, 127538183, 535298159, 767861471, 253074349, 79965695, 740884808, 1534787, 473541126, 922277117, 323773930, 375366967, 269001456, 505461412, 633464987, 994684633, 235940757, 83258183, 380609367, 581641814, 407437963, 955085238, 529082049, 464190844, 600031502, 922478591, 542476006, 934990743, 604687854, 724576189, 907111560, 328876963, 157288400, 579060805, 997166061, 836747364, 973163095, 848862673, 77351233, 991701225, 864764207, 636146409, 674944220, 108342325, 727576231, 119647541, 20496844, 694512349, 109142555, 610271699, 22973529, 663023945, 682846684, 83501717, 674960792, 875467258, 318087805, 818576359, 256625992, 559206721, 287224148, 175269848, 132872895, 318884026, 207310888, 640310423, 280321437, 943574242, 142031719, 90953374, 360438406, 41948168, 476667208, 424692316, 662574215, 27586630, 680858420, 165601698, 916291672, 773987947, 144382763, 1814363, 226572045, 981695768, 268798143, 469638341, 414251809, 564695733, 261405281, 455787290, 414489201, 999832789, 232617751, 861562109, 49464690, 975169353, 150979571, 332954308, 804879221, 912102871, 527994444, 14450550, 763885657, 276570292, 760359790, 976893891, 368053884, 651327583, 32902893, 550667476, 245929523, 661512280, 804622309, 387411803, 614965002, 163346087, 965305930, 99833236, 287755895, 513469571, 289752386, 185748142, 112001107, 203321793, 78710807, 83957557, 581153965, 197551229, 933929550, 288710366, 761855704, 331692240, 473228512, 31055618, 184407192, 454582832, 661493019, 966524315, 571026418, 191097431, 426905012, 591198668, 23137431, 186610065, 775801462, 483966563, 955206559, 72602673, 31734347, 784674414, 400215839, 219237124, 320193951, 98727393, 224802913, 996394984, 205714840, 811674906, 590599948, 790447070, 434630805, 832198624, 894326911, 568068253, 282374654, 322266700, 816916734, 329349495, 712051012, 808215169, 979693290, 922551960, 70485566, 292882480, 578087326, 200858330, 986934769, 410636874, 691302600, 47749011, 444535028, 116662367, 187922641, 828435865, 526308705, 149794426, 442336805, 92965073, 932783805, 608168555, 111866713, 903701308, 521518008, 976577753, 934809850, 27718368, 67399575, 918984147, 804921926, 405018451, 266079656, 831346722, 804215915, 885642590, 439383863, 601959350, 717673691, 818138764, 124127420, 864137427, 665564234, 455814392, 114849361, 46680929, 712366270, 721588150, 794861795, 3110019, 871035123, 103242621, 390273494, 962899677, 966635571, 477860706, 274391779, 904083140, 521461063, 835471615, 84205978, 243031241, 552085600, 275824953, 909612714, 583979588, 536026716, 401162418, 543956390, 368491600, 536161719, 532609341, 23003177, 310552126, 644957379, 612775394, 445649883, 101258233, 414565589, 870353690, 364170210, 739121881, 102351382, 646464715, 26491965, 551682967, 387689260, 251043322, 494013141, 600887365, 392790596, 811436965, 927707095, 825586838, 121597225, 762285302, 159161105, 368813546, 830098034, 840822205, 801314624, 442966993, 360721591, 222273493, 475571825, 187921539, 281795729, 379829955, 66262756, 464916183, 807838543, 272683609, 228037003, 292883618, 847110673, 901758822, 343658570, 212062564, 332717421, 750171688, 869999775, 910869767, 114708012, 182342441, 439727226, 87532016, 938871142, 17529474, 641978364, 950543063, 219632234, 366091495, 968356273, 167196627, 954856955, 44353608, 276535612, 447931109, 732256676, 322071904, 289652247, 709260606, 352775662, 417870200, 277859878, 160973028, 72984242, 915756583, 313687691, 565942062, 698050295, 788917654, 886894, 305755423, 773010406, 711843854, 213564740, 152945457, 791411500, 144888169, 717223627, 996221599, 914615146, 394247068, 588334525, 727514232, 335638671, 718762664, 687437263, 505434324, 589826817, 512126774, 294388123, 275361302, 177738350, 244448070, 974029754, 497233585, 365655350, 325557834, 392427350, 617532977, 876153834, 7693362, 804195076, 812803882, 381207856, 780815611, 218630886, 389205300, 992378205, 586061580, 783767908, 800894364, 280524780, 764660560, 914608629, 642755538, 437623905, 469644366, 382121265, 251731731, 780833262, 594798329, 726599515, 53598904, 479655090, 832345153, 322299657, 295458538, 894164289, 586536163, 732464109, 426276702, 803795343, 318870512, 60576151, 942717610, 59216417, 745474258, 184788379, 626289032, 453321622, 279130706, 458533018, 114337202, 286385260, 703655774, 915502170, 399081800, 402312130, 77020477, 682075194, 278319045, 156383047, 533506942, 190579167, 87695098, 972341161, 680241870, 143737869, 912235734, 891501675, 449034161, 7785703, 33434248, 366256842, 761113035, 935162892, 684258246, 988025223, 465073303, 430923676, 4361860, 982098602, 348349652, 878149152, 860932969, 698064495, 929972070, 319991446, 412639903, 739199620, 360259009, 650628168, 472558559, 15217078, 741855792, 24034456, 638612244, 361964367, 724091572, 264035740, 100952375, 878034009, 775946372, 231748957, 270775771, 344907948, 638427792, 402065596, 263055727, 185652292, 941174875, 945510249, 798762608, 520910427, 980017213, 154892626, 177602516, 796814040, 394177847, 678481320, 991974266, 650712705, 187801337, 820952483, 986711563, 804125675, 944704410, 565772990, 45216334, 466192275, 254724170, 745304066, 317075074, 132045017, 632896197, 761020612, 257893050, 782173625, 819605033, 229854253, 371860097, 847093980, 634603542, 665427130, 452772827, 637865551, 454164540, 199418230, 607524158, 778674829, 258401320, 117647831, 847516299, 206297633, 527316, 518886740, 428318114, 496762990, 654243480, 547767790, 752157424, 596640024, 61739824, 402472639, 434888543, 803044433, 511225578, 648403797, 736299009, 164551166, 781751985, 524519078, 538199930, 908383891, 417018186, 82183898, 439950352, 465528022, 565614119, 947377413, 868395879, 352417487, 708709166, 268829646, 543953486, 737735438, 616917266, 777550458, 7891068, 410788506, 245518316, 777171815, 671771661, 54396752, 827342737, 359892730, 278529136, 139657064, 745069332, 824875969, 903579425, 991015663, 816145484, 667095761, 788492800, 132846254, 969788393, 366213225, 565773039, 490382150, 643977148, 452671389, 957160043, 67914762, 697061532, 439180079, 1093016, 704337507, 230840616, 444667249, 655071365, 69148956, 826279507, 206710919, 83432490, 656870957, 49202723, 489365879, 81269722, 141516809, 740317230, 812932598, 558015072, 634628979, 639214261, 470994722, 915826969, 798821458, 648633715, 918431034, 954522104, 516241238, 313086531, 478628204, 51839316, 492538785, 529683302, 470147891, 391116515, 463380486, 765265856, 723238424, 198656608, 621218197, 656297582, 462592483, 676587632, 107108345, 774011924, 112314398, 8012842, 896820212, 796336824, 855674853, 86125417, 494770094, 450197020, 258910753, 356135520, 35578131, 14376996, 637432305, 702312875, 215210383, 706237293, 529675477, 206472324, 916200417, 977602457, 774149110, 636244885, 20572841, 292492553, 423421707, 921105438, 427873793, 219452344, 94927427, 570885189, 147634874, 592455156, 808197973, 506350095, 787396941, 674985129, 452826257, 75036949, 926608674, 935953347, 608385588, 975175535, 244862213, 867668438, 822001274, 774022828, 796360442, 716273198, 748077008, 611096698, 454204652, 837179445, 907651202, 673639363, 116631291, 386829604, 254279125, 570870542, 4224398, 59835991, 387085221, 543728229, 746335467, 452560185, 299053886, 656605830, 912106432, 926744567, 898991241, 601221363, 459112304, 681432953, 612703462, 777077656, 3025329, 292123731, 629528756, 257889372, 448214476, 789925417, 769996829, 536958327, 769838285, 42283370, 883636488, 739985453, 693655513, 489583078, 268171979, 457615698, 736130539, 404295568, 55209742, 786631540, 934902981, 750531383, 873249701, 371530919, 438258864, 897337729, 131491615, 718595987, 549615318, 588289048, 593107851, 38826345, 881363435, 477060384, 321332439, 570258069, 694353561, 286165434, 438492801, 709076661, 622509237, 564633377, 991702621, 253154502, 381965881, 679356886, 343598834, 19719083, 89210198, 161050193, 111056881, 412249174, 650289921, 555955879, 329562104, 951625977, 670371235, 570657081, 415729291, 696582178, 345276912, 764414712, 412828278, 983619025, 45799396, 500024509, 751880393, 664882192, 855774950, 980574954, 47403979, 68234020, 657824458, 131306824, 177355960, 483079993, 264515771, 513053474, 81935744, 247690484, 857395693, 692282775, 132259121, 275257634, 66022173, 181068379, 733444945, 762166399, 934262831, 379098734, 658659318, 566587875, 76819664, 922526411, 166945768, 713959006, 640673010, 787436587, 425689505, 41350709, 40809980, 143007079, 795909367, 159291253, 387572907, 54407739, 551761083, 766783761, 576930027, 180043345, 387761643, 713366539, 772160373, 77077576, 519727922, 427492805, 528034230, 21279411, 145127917, 628410377, 546309572, 546790147, 744428253, 903104601, 169458864, 236141611, 847513525, 729165146, 394754308, 685673703, 964666006, 300289735, 907730804, 944535392, 592767041, 503787752, 361616056, 514488249, 440700483, 936304405, 901875157, 860973341, 338594326, 397489613, 457092813, 125861098, 53762492, 361799567, 36611708, 926598867, 249341000, 644707234, 165591954, 78111101, 494716750, 248484253, 32635973, 229064045, 362544105, 392447507, 410694230, 636076547, 848352306, 776951753, 4423650, 550349799, 572219665, 423011144, 882503798, 598551932, 627299490, 609869987, 631643391, 799939393, 481998230, 940786620, 643040240, 901440264, 576071348, 956596515, 855187569, 175344891, 816746713, 410175782, 105388097, 849433004, 978728952, 419341271, 988554511, 923608802, 62972803, 78981882, 224793511, 41173183, 132715077, 545946646, 992302772, 312111314, 96647931, 879285335, 470866068, 472227839, 634208006, 364216086, 845969337, 85774940, 612455959, 651322367, 82398401, 318825898, 689819754, 202712002, 812855671, 531340927, 500283006, 524288160, 619881087, 245922835, 860893569, 440234490, 700456595, 778126889, 227217215, 289054995, 631683847, 461627534, 834095483, 191088531, 900098811, 64374128, 79017279, 567492717, 667333874, 75927726, 882703130, 653608433, 203245054, 248569914, 860565551, 449226165, 402964569, 506085069, 34662553, 325988739, 8074480, 708216356, 910954960, 371900417, 918607079, 276546114, 936244195, 596763749, 384511805, 992951978, 412963820, 723001015, 780583209, 383408740, 815079569, 951280831, 631656358, 74302029, 970120280, 244187901, 269198107, 570090435, 814022594, 955772265, 898839077, 412439783, 659272495, 891863297, 810105771, 231919786, 792089459, 524138679, 784219523, 666130284, 303310442, 878017574, 552283481, 537304401, 395718219, 648110750, 474172996, 216558093, 551212054, 906989464, 681696048, 496583395, 13014889, 460577570, 517703201, 21793957, 61403556, 722885363, 642995281, 889700493, 181210985, 634085056, 18171155, 679004411, 115795981, 597542580, 617667594, 209993656, 672003746, 393606560, 609515466, 204529604, 795260339, 440162325, 725269933, 29206980, 818786002, 804852299, 347150475, 26875881, 668410949, 842328308, 265026531, 765158372, 101705145, 716111015, 468176773, 727440806, 220401855, 593237273, 229490791, 448967071, 268212830, 953499890, 430900749, 569085284, 198872094, 567921270, 828051365, 88189574, 241850884, 352219989, 526565988, 492105785, 289925728, 909340542, 450463698, 687450878, 81473198, 973553328, 485448871, 753662175, 476071443, 73550588, 577654007, 163321700, 85315822, 745429451, 765206800, 939827772, 875963481, 743263350, 293817491, 630182081, 496827089, 817321585, 145171851, 697521600, 239509419, 155231912, 280580260, 697567793, 136609723, 120695596, 432981589, 750490258, 334026853, 484256240, 855800664, 849656113, 680835466, 530102635, 334336154, 519976095, 487584884, 500414262, 773525893, 263516442, 219474183, 907111604, 332537952, 433959397, 525813637, 645865700, 966845350, 889170495, 330797924, 835371408, 404626641, 334938854, 301780476, 314704877, 5927504, 828120981, 625871976, 612724185, 465268710, 139857856, 423949188, 250263767, 269162447, 133973142, 436353933, 945531027, 420548688, 481668853, 233084409, 419844797, 324686364, 823700817, 28684202, 826674160, 237148702, 327044276, 413174733, 514506882, 22544627, 293574881, 199812281, 244627027, 108618091, 508367116, 533877532, 698929438, 872658180, 309226868, 858572015, 455833626, 311822059, 778007344, 615373837, 657285052, 422671164, 102165814, 672993253, 296552528, 984561714, 396570635, 259412694, 262958464, 557750676, 743756848, 385070208, 357139391, 812415756, 776235466, 524368647, 276404479, 537683230, 729322750, 102160572, 586819620, 411324656, 884262427, 332909809, 600814843, 948990041, 399818652, 542112665, 187197822, 597252619, 600125853, 637647506, 544526832, 830127995, 617658269, 786681117, 565577862, 396826486, 153470554, 751416426, 508343683, 666794332, 608513467, 218849866, 496278583, 793184317, 644492316, 448446237, 64541586, 280767354, 393587597, 900358101, 576199471, 392539489, 168128812, 802159795, 545613990, 822456303, 431787134, 415304249, 792678869, 65677500, 274923574, 730533137, 139541209, 94516175, 762927462, 36897881, 799724385, 417610070, 779674174, 638302105, 939603468, 506277941, 546412843, 225684, 42997503, 369092994, 463914790, 378041206, 986977370, 435220144, 937748452, 147381396, 527275705, 963863390, 838770262, 809699519, 146215117, 296210905, 916398315, 381406954, 385221087, 459317093, 170230458, 986238765, 699049128, 292431221, 141530404, 117797892, 455525345, 256555399, 666467778, 939499067, 420691638, 115690183, 857397295, 369201016, 280257691, 707679067, 694182194, 815489247, 630024650, 62491526, 610661671, 468625537, 332972997, 33361760, 720944887, 685630975, 499966768, 165062098, 9563415, 114981388, 596289114, 564174217, 414592399, 732164890, 330546863, 792598267, 449352001, 480865981, 596376355, 639951600, 209817480, 283395779, 822266252, 54748003, 45690187, 122109637, 505823800, 326151015, 358400737, 73837174, 13972919, 766876242, 230631016, 867984102, 437242560, 221817281, 775566548, 221746374, 392979889, 455297600, 23626541, 271776741, 34500403, 282087630, 360462656, 706737466, 945863947, 841967608, 564662504, 516315910, 335102676, 252632236, 988450464, 919398147, 85119231, 606268843, 100268214, 620747724, 178919376, 726707942, 496613764, 745024029, 261992530, 253570057, 858132387, 472472174, 593728303, 327914959, 216421901, 446648858, 534878636, 665058392, 880813853, 299486483, 189203199, 858295416, 528657051, 629022081, 163486619, 622365914, 350852143, 751009730, 249753455, 748433547, 218120833, 507180868, 911115211, 59841376, 238744901, 249649260, 780568740, 707527508, 781476183, 110377533, 748826752, 716492568, 56528514, 902289048, 861299606, 883470205, 488340975, 151569517, 265660145, 679638041, 231951854, 995181716, 874497547, 191189755, 300166038, 552245348, 751360289, 457106583, 848878418, 798734896, 210231026, 932806680, 275253516, 132707267, 650354000, 545375181, 111842069, 514933207, 506736283, 763012410, 166500160, 467255815, 835728024, 886337719, 7423584, 401404087, 348995925, 906530252, 27329724, 195431881, 602829403, 708200851, 756557429, 836582872, 463807339, 848898327, 708674549, 344406822, 726560471, 201707459, 424898550, 243058951, 347398986, 990640001, 43278402, 304626730, 125029228, 761461403, 296500759, 556557819, 234854864, 738380400, 615538704, 55973811, 909351836, 108913710, 129457895, 69389340, 239606469, 470665490, 89105499, 589333495, 585279497, 553119914, 577779882, 412885735, 337363130, 344684352, 500356824, 761192668, 227675827, 548908931, 339834126, 191689423, 23255804, 25899994, 305323570, 80355921, 346507605, 125949268, 483219314, 533612708, 538098365, 374500291, 55074958, 504839840, 104891452, 194243473, 358666429, 661037675, 300094280, 49545714, 54786773, 32279794, 543919390, 818805324, 311068533, 886108551, 66793683, 927911011, 198981426, 643826860, 556078974, 540408232, 715531942, 152341837, 936043466, 816991944, 892278862, 435558112, 352193230, 155808563, 223923779, 183466745, 46962780, 378469678, 563368937, 981012759, 758061531, 316354699, 876198285, 363050383, 410625862, 749888536, 63226210, 196556368, 90784624, 481776393, 707634356, 733861093, 378216077, 747026400, 360437925, 370998997, 937363520, 512403871, 764800668, 31295508, 415414821, 499087662, 667897864, 837728252, 898924818, 492976663, 41623519, 699884705, 946894626, 378252855, 32850173, 427961728, 801113015, 29142557, 875833946, 916800261, 826524401, 507335150, 30272771, 250348252, 231974665, 50347644, 43200134, 909235590, 959656527, 734310847, 395571189, 251705795, 45163187, 666680456, 635392353, 190943831, 659985807, 597256047, 89384145, 526899415, 961156890, 853963877, 437021427, 843492168, 906872321, 684812699, 84793550, 876585623, 309615500, 181578226, 202684043, 608297473, 977007229, 766896331, 280330534, 863059731, 38329256, 465286939, 872683566, 213855020, 256429573, 640624282, 820067827, 847017955, 276034649, 7201311, 500648246, 438603590, 258331170, 372678923, 25133011, 903168859, 597308779, 158230717, 865964699, 981453012, 286857750, 443247972, 11790168, 188720686, 547172030, 376363023, 609683144, 428614632, 915373570, 509018488, 191937709, 123045756, 861212877, 16877136, 97699742, 502840819, 879212773, 382957991, 289983146, 719564206, 46779625, 891853354, 237707400, 801278201, 92257839, 250923060, 297390723, 279796271, 247244642, 371503988, 872486430, 964203989, 409092985, 226029674, 487283298, 914850196, 96008465, 319668324, 4695367, 775160292, 791521060, 955942438, 692409700, 485512970, 657696622, 661281474, 401892499, 842317887, 216456950, 792752416, 79451270, 922131916, 294839334, 234141295, 852951179, 926568728, 579911190, 28620941, 182976160, 158976315, 866936130, 848260973, 341740042, 788480180, 332009487, 738572978, 651410322, 442842075, 670243602, 447884846, 390114538, 21452290, 232503372, 351034677, 353038149, 932544268, 569157823, 397415061, 609426261, 138432648, 202767729, 661814990, 956335343, 126843779, 384440535, 505571778, 980226854, 205448200, 866311079, 785063764, 487443575, 775721175, 658150361, 958999301, 581709113, 508925001, 867836012, 250251595, 303403046, 558275857, 540537670, 519339405, 888782612, 849827258, 374396963, 44165798, 591719875, 402343329, 24350016, 190836097, 380364073, 498561891, 274091866, 800216719, 987961989, 497901878, 43461330, 700290446, 440892929, 546356396, 651446615, 160899048, 829343559, 116293616, 309843921, 102442901, 439391982, 237783462, 503943874, 898365646, 125014035, 606192718, 434723858, 375290967, 125876818, 507276353, 5830030, 114251510, 447579051, 475349555, 277690344, 913194321, 781810767, 459054424, 327542948, 780086815, 205600525, 810446607, 173832714, 558593781, 527565107, 606743237, 323302728, 979134514, 499936823, 663322998, 974851249, 107490351, 439936812, 586355137, 329663100, 401748901, 524960854, 245283367, 504492821, 162422113, 331099537, 689126379, 937382179, 102392915, 177825665, 763423223, 409488099, 315306249, 906615556, 282474948, 677353915, 415943106, 557791799, 305745405, 421455224, 454508527, 940299741, 183998628, 727705724, 925110103, 894307173, 363647427, 713012420, 22532035, 660284583, 11828639, 530583137, 955063017, 781430665, 944008165, 276296892, 458495592, 888227965, 931519294, 696994189, 413990725, 383339020, 768207525, 352984195, 537296036, 383944913, 858381101, 699690328, 905103450, 439535625, 658405217, 720202498, 601398566, 704596860, 369863420, 663730969, 278214691, 55641729, 698693068, 486794840, 130481722, 634621766, 379166910, 332971774, 159388572, 251167744, 561464420, 991181935, 178262956, 825929209, 462210031, 864755480, 712185089, 153997407, 786524845, 35889050, 259124198, 119710533, 904017084, 100425467, 155269054, 867768801, 579753659, 842290148, 186742776, 418921551, 211185016, 213742917, 155781881, 501537961, 222663062, 148661954, 890698166, 356966631, 614378593, 471968853, 843996490, 572924322, 24613238, 124081443, 142313821, 979119853, 688899150, 564091061, 545766764, 213765954, 612614550, 867898770, 992944106, 373847244, 459726042, 907544974, 149815555, 19133910, 691260535, 244327437, 170322599, 166687243, 884283747, 882934687, 428267603, 524775519, 190312233, 19892236, 976144914, 24096898, 606679946, 343277347, 522368157, 181783325, 545237035, 937638705, 338068696, 42304124, 900164247, 180492934, 63039260, 907008506, 362179153, 177662829, 245446151, 344263710, 918698183, 795666921, 789205924, 486910270, 501544911, 558021472, 646484670, 357458234, 255909001, 170520381, 556054427, 471524195, 17214972, 69367764, 848063147, 327541364, 595392862, 875714342, 903113896, 382921395, 716097696, 711586273, 267967551, 452344407, 880009039, 28783344, 779242954, 77060562, 481086139, 360343136, 108177268, 8598763, 40848594, 809123497, 797113363, 13979441, 483339819, 896058347, 598988857, 919954268, 296635520, 107557249, 119505943, 812365724, 835542344, 678522088, 2743322, 626232930, 936205306, 246546919, 553078520, 334172963, 545105537, 484990099, 473636279, 996426651, 606617284, 113556733, 498837594, 826832860, 953247659, 657337620, 741533252, 739149436, 811481603, 495831105, 805543385, 246516753, 387285761, 792205130, 188466744, 925734281, 97103027, 990239510, 68588072, 926506843, 293751142, 20877978, 248092379, 818957877, 752459570, 894149980, 697924344, 518227142, 182171690, 123134231, 897644960, 780350760, 911436156, 541502543, 503251539, 331489145, 746339985, 302925112, 384782831, 929827443, 710478850, 174099936, 628776506, 754185193, 644809381, 344637037, 365139008, 918250829, 890138354, 347251138, 659973668, 906714914, 87830316, 806369729, 579738007, 828415710, 905860092, 337866453, 949482296, 946507105, 124298559, 357098308, 851734768, 562645173, 527817579, 957662326, 710678666, 35029286, 141192566, 379756881, 315311457, 734890957, 620019330, 420995922, 363281371, 553313209, 582770718, 123173546, 776433211, 248627708, 935908452, 889157617, 767195579, 212855103, 982150151, 424306659, 148567917, 706111525, 613721683, 831533695, 811482223, 365507720, 737834911, 840967903, 588731867, 864415759, 720731220, 189144708, 258581450, 726794634, 845556913, 946594141, 225275837, 145432171, 302436733, 555236481, 21427587, 587896816, 183172551, 348751876, 980253513, 640104576, 445012454, 617926677, 769443484, 207457127, 459391019, 587884413, 987216028, 116096532, 352920058, 927875340, 763865983, 228297117, 196880980, 503959725, 976331708, 936634556, 234997151, 658918949, 241118641, 752349768, 321775034, 475928318, 625386233, 626447830, 270016662, 878030359, 696947796, 38522765, 300421187, 838257225, 431346489, 348004130, 797291521, 420351692, 912378372, 531937948, 2904073, 548202614, 198769456, 844684035, 633245563, 160486554, 165546420, 786075947, 173909195, 896905728, 695171859, 657216987, 281645645, 754702588, 472281440, 3997669, 867303133, 838833991, 772972692, 212257253, 557166224, 40567206, 99879901, 849909818, 902676048, 181480704, 956024786, 773838228, 935013661, 426119407, 825423274, 892951399, 357137028, 64037843, 570189418, 295046251, 425017233, 51247859, 973959001, 946244520, 614061128, 781455514, 972614609, 696146631, 521032686, 133860682, 959875993, 82183382, 139161703, 279322483, 768631545, 710474713, 651300672, 542071466, 951676897, 495986378, 880285913, 773083424, 308423475, 277126591, 449383133, 7726186, 169978299, 422293608, 536207064, 550260657, 878274543, 498235037, 965978073, 225097053, 759164300, 719657282, 513146806, 682914779, 260201109, 694984536, 205975863, 12383496, 518877660, 748121550, 408196007, 108709300, 963427875, 734031080, 849023573, 201429092, 609315666, 621806624, 132174241, 595967507, 258768390, 822288896, 935995708, 66030739, 970974589, 728425857, 88193748, 957615321, 720758678, 594586857, 482803770, 574061466, 221581926, 902122152, 129251632, 172464764, 111645284, 649544137, 376011398, 981373832, 99510149, 322062494, 549042905, 32239745, 632782304, 475954, 727380918, 5146060, 697172694, 52704761, 907286709, 10105196, 443638487, 180435053, 775585849, 322179685, 531607693, 466890608, 853833121, 579833264, 642627175, 785604292, 922808630, 197425785, 218776142, 641056039, 452543051, 397383922, 903166312, 677463527, 354489745, 761351967, 985080563, 219778406, 581106113, 272432793, 291405435, 645643057, 155139137, 576605355, 548037512, 673265462, 980259800, 206983569, 9277482, 349144951, 428308395, 916379262, 214184430, 96256386, 200468746, 794862337, 214479529, 297767260, 395999407, 427501082, 819584564, 244769277, 351072414, 687600704, 743294089, 912675110, 594716870, 66584939, 966250320, 932427325, 547766184, 388102572, 835772940, 7974684, 705962708, 664799181, 352765685, 49475840, 847713140, 830434093, 536887699, 603000036, 135407433, 618920050, 585927386, 817330490, 891185141, 221711434, 253875591, 911074386, 160743379, 153432301, 178149838, 862638119, 636596557, 756630288, 200391227, 574466044, 596736109, 598616143, 14879197, 335762070, 996826887, 908271429, 388621970, 487538025, 163104572, 996108040, 536123935, 584453867, 882283697, 117560809, 259541975, 182772280, 819948279, 89264416, 449036357, 676988152, 598860070, 720906951, 556689277, 450807449, 507426058, 858758621, 140926833, 281547304, 521255171, 138533966, 214258572, 530390608, 467581644, 45221833, 669207039, 434305708, 748714357, 728770708, 405203926, 960537961, 717320121, 339643766, 14908435, 485544927, 550818862, 506939994, 696859470, 925359216, 988355999, 135588002, 538287948, 607755575, 24062955, 357866392, 677641500, 839651492, 469980255, 249399681, 337211831, 54969732, 340609260, 963221663, 880478117, 732781577, 280371762, 418468848, 744629258, 125380202, 356713790, 79693156, 405213903, 197592840, 174494699, 324213536, 235448412, 146214242, 790579918, 910727713, 471421598, 529270537, 656538006, 368984664, 834044197, 412394767, 496941147, 334487799, 672077241, 592956255, 896296175, 894401845, 649841356, 180212586, 858042869, 642482850, 441725102, 942682254, 732279346, 582580336, 273903172, 372307407, 332234231, 66333947, 526117717, 749664151, 459857426, 248160828, 225717648, 790062680, 77236154, 419653995, 821166783, 397544390, 280128042, 943600161, 264702671, 114352431, 11599334, 622532225, 802214998, 922346, 172559713, 683685941, 250557921, 607595193, 725846330, 341571312, 493773439, 1994619, 164808640, 437532097, 668472869, 434993375, 161095196, 788893648, 706139106, 750295655, 897268456, 615022653, 818800405, 434790152, 652085260, 107182067, 534960655, 30941999, 399581804, 484659829, 400491966, 240865672, 610631292, 747690168, 598709032, 650793969, 214403426, 169620570, 290760950, 393871644, 549403283, 407333390, 747690225, 163215833, 664477184, 350809985, 74078985, 689727500, 701103044, 742303141, 700667100, 772322457, 577985468, 33707910, 123352122, 592484673, 995333186, 708371729, 766944846, 574970692, 254781940, 541708397, 192190717, 732566421, 970594654, 190304906, 343122170, 184017886, 789780971, 235670826, 227529193, 470480840, 37648794, 689387113, 202966054, 574566232, 804770098, 759653013, 798214662, 327599851, 109494921, 245053572, 312138325, 747072711, 884563601, 679956528, 747217584, 633992640, 736780402, 373895678, 977582016, 768862443, 231121174, 218786911, 172846506, 534857325, 640442804, 50286004, 223507040, 63358199, 47640394, 777395478, 151842594, 186438425, 967784508, 929436148, 40690597, 490496427, 690053428, 598271283, 362014543, 416237935, 5141164, 940325817, 390137499, 826883440, 956963276, 794776354, 528230307, 985452332, 448218148, 45701621, 859444276, 41293330, 288343550, 766589685, 975593080, 41427159, 733961567, 178011131, 911222165, 973610163, 676799941, 44550913, 453886101, 691129800, 832556347, 967085573, 612817598, 988174766, 426871786, 905658570, 481070334, 470479757, 635208009, 877677907, 529168890, 100216632, 167416604, 728490267, 48554472, 933249436, 62680778, 75974806, 420704481, 960541669, 136180257, 840809100, 805988582, 543840577, 893217221, 296243460, 10161384, 870645084, 78310377, 891549330, 329503648, 636745435, 116889865, 123588229, 758874443, 937101217, 409878830, 996019463, 199209522, 191553278, 283010534, 861441024, 407528222, 209295046, 524861539, 63199021, 2279819, 218141595, 461324892, 996046776, 827022941, 958321836, 391046866, 505055038, 326486330, 870009919, 181847635, 232365710, 459173621, 586236628, 879717612, 249203751, 153392615, 523023101, 857306172, 925699895, 118956408, 508393091, 432790089, 237500699, 356281584, 742554552, 946310947, 978542671, 535522123, 625998780, 103429283, 610007369, 639431643, 134016987, 66119474, 61112638, 506563181, 570471983, 895132727, 498949435, 459971124, 249881230, 138978320, 423112666, 315921994, 88997362, 585681619, 880712045, 138221813, 571206056, 432845137, 830911181, 73220146, 439876119, 227119702, 564744171, 984943360, 514625649, 993409496, 34456918, 335484318, 175085375, 12009487, 224819623, 458700869, 233059406, 737913424, 241742672, 120421402, 829212830, 160515605, 141747960, 872283025, 206923978, 948413863, 882340115, 884403857, 438714362, 138734905, 924791619, 30474198, 392457538, 971554813, 208861957, 463782274, 258734454, 522928168, 554105121, 834831562, 707465442, 147385827, 469401887, 407934237, 956557509, 586732404, 286273033, 9439438, 427336457, 405453540, 734578789, 75777251, 743536553, 312952551, 807201019, 719229141, 18704873, 955396200, 925274735, 256535340, 75976725, 293996987, 96464497, 662532954, 629244412, 228373197, 2251376, 188220214, 124752392, 927956699, 556292031, 945164321, 612397678, 936173797, 565616637, 55344386, 831949901, 188703119, 566541683, 437174895, 513794248, 88308412, 74704734, 222696142, 810565375, 808023794, 667631724, 671823562, 15585503, 394588763, 12632164, 225788257, 985416553, 789039465, 269777200, 388455753, 241991996, 161298600, 542797998, 29055703, 630250597, 389807074, 560417903, 789087885, 876092352, 707403584, 875354069, 63512764, 23798842, 535478904, 839354711, 156817066, 816591472, 847966224, 405485816, 992502048, 303670794, 792266559, 606611261, 357945754, 325927609, 298144288, 364755983, 16354151, 182077745, 483541796, 505830070, 90800549, 776837831, 438657269, 510240377, 81878039, 909318643, 882767291, 744582804, 210307312, 287515798, 653485572, 731724493, 301225037, 143181092, 847897170, 401389487, 852645156, 326111491, 856111092, 366963114, 663142914, 891204192, 218974434, 578682162, 815578315, 374001676, 144821451, 472824044, 384103551, 987417480, 640394281, 178846731, 419824749, 127060054, 244545798, 602385471, 547927694, 954786848, 953538526, 934731307, 238895497, 42668070, 997905616, 357284621, 816901224, 235553760, 637635019, 104691758, 279223423, 530640007, 538909175, 93179652, 137708189, 565686463, 109059019, 505041412, 679026520, 807935414, 953371576, 991631087, 752290960, 849584241, 179728441, 52288403, 471210852, 493818908, 561381371, 79231197, 823631973, 677242455, 235216897, 56303160, 74994289, 289729481, 480884679, 242776241, 597217227, 57046665, 723392081, 87995894, 568402591, 633085087, 553242884, 76967736, 973473687, 977269943, 939060479, 236346759, 307574471, 548827408, 238511270, 607830769, 579318842, 90554404, 589652761, 536117902, 358169860, 839391444, 243362868, 762139888, 548925830, 930639844, 928600632, 167161105, 856187412, 397456574, 855502146, 54378365, 489799824, 21921949, 971765922, 168564168, 474979166, 499886006, 993764123, 991552839, 395273030, 323375742, 609140840, 444139243, 851140661, 831903750, 549711905, 439852353, 677306112, 28062859, 233786291, 90022157, 148797798, 151033868, 338426910, 118778440, 64185437, 311852612, 382264739, 199334700, 874797393, 837449793, 137045101, 741141912, 764398166, 645854725, 52899497, 518483978, 899224637, 937631544, 278301410, 686325646, 983625782, 75834074, 656845285, 325485715, 15231346, 208228923, 748981614, 94611302, 80092524, 461452957, 309936111, 179154731, 678894565, 361674154, 77414080, 955280064, 279946708, 818061092, 151410450, 979660792, 28747351, 232710251, 234525915, 82412799, 420696669, 216650111, 201390630, 195452140, 402148651, 360033369, 339941384, 110368570, 558865647, 854774039, 458397599, 47689154, 879538328, 147187060, 148597962, 201965620, 178378363, 901138785, 556536551, 362461088, 97279837, 283678855, 638634652, 305056112, 66673850, 375058007, 213504874, 590865712, 289373194, 348600478, 468046815, 920164515, 550581595, 368021395, 761821403, 704402017, 222699276, 183071783, 984627181, 625478677, 312646600, 802477541, 316721457, 594940898, 993356568, 564822351, 881152123, 425399099, 909206342, 900007277, 854954341, 123066083, 613351794, 721946950, 1614907, 56470973, 830938456, 857834771, 388971484, 590500533, 33820835, 887986442, 679675220, 116734194, 968297751, 824830031, 781459631, 863211121, 965965448, 213237771, 542742863, 663779145, 303746323, 164792166, 601554881, 492588745, 887839589, 284563794, 127449792, 541569747, 341386844, 712719355, 551845840, 330865970, 965243966, 510022626, 92277597, 519100917, 556995751, 131196484, 799101001, 604386500, 32607587, 955857209, 737124038, 298748379, 771802076, 478723150, 521737127, 103447350, 45624085, 954944717, 497867921, 878218662, 655076141, 650093540, 355113226, 766430760, 976935339, 312914296, 134686624, 309919478, 250460497, 595990014, 580010718, 165452616, 635106454, 163266029, 386308218, 297213713, 684144629, 413032858, 35015691, 796279677, 149719926, 50248479, 492866972, 518841732, 936558986, 497326626, 746329640, 923857349, 937104309, 925339167, 204160254, 86334603, 749061765, 943666102, 433414758, 972347360, 389897807, 900779609, 157513719, 786321316, 78351510, 186214580, 672925056, 642392393, 229968294, 630448905, 688664936, 979724689, 660936740, 249588028, 451154857, 327364503, 747544041, 457640616, 708619755, 346129863, 423635682, 923567495, 209309993, 629377211, 723222266, 810213457, 332713404, 821821352, 319824599, 516480654, 936720964, 65729115, 919991597, 541260414, 343197303, 429371507, 345713013, 250448528, 14189279, 979037470, 226076680, 131347918, 603209236, 515102331, 249516437, 83202974, 933271132, 564260202, 506823408, 625139590, 671506930, 146427613, 162715498, 506956471, 308059018, 808066128, 700875276, 164086265, 240193129, 131309642, 230153350, 874207135, 981856827, 226658793, 933991643, 384576778, 381616436, 68612374, 929392133, 727019245, 813617889, 181342357, 867408156, 17402533, 9591570, 391533585, 973239968, 372747648, 387285947, 174723808, 872219108, 573589946, 488290672, 718763643, 840682925, 346788784, 191104474, 356592058, 186900455, 435608532, 652980281, 844359774, 499313230, 923372729, 848981597, 360604722, 931579095, 530077117, 344789266, 128030394, 538059672, 201058822, 354269657, 795170300, 46988854, 833467330, 622491787, 774412964, 488881226, 685721684, 592777622, 732934099, 740487815, 541622835, 759161960, 365496649, 900743943, 20767609, 754448033, 453983632, 547605318, 718800767, 262507072, 276126485, 58207078, 635929515, 519985672, 291447907, 599357574, 753342337, 159225410, 73403929, 97714166, 84004622, 368013065, 873199974, 44183454, 276257900, 537407976, 790960789, 151008974, 268728124, 6796065, 822851275, 340714887, 332501227, 105839661, 932850091, 2225462, 118072807, 786577643, 375226513, 999436956, 169015842, 554925874, 517932133, 876967023, 257269480, 325045611, 64671623, 992053957, 77192470, 506165744, 826510809, 551119331, 490457682, 967009652, 446038635, 354493285, 8445503, 185116199, 424131892, 928587129, 158402364, 831486768, 902256724, 366359298, 780523608, 515703628, 836341583, 875254471, 936555612, 916442121, 401718199, 534970233, 259888876, 580589855, 590956014, 369043898, 97512651, 702012316, 787426333, 87064035, 259518787, 853564148, 140169442, 933363159, 775947294, 723436712, 115433032, 249822938, 947282828, 250229432, 192809473, 675197211, 412681507, 731035895, 438220093, 1299443, 522730924, 235874069, 654094422, 638636915, 491318617, 716816090, 915140727, 586459939, 315658276, 956173662, 447340291, 268348200, 950086773, 525720528, 411285115, 244706014, 149562713, 987062280, 972317332, 705359684, 408633249, 470426935, 812363308, 53513791, 524219111, 735838143, 194592478, 314542104, 436731456, 734218937, 239187061, 114150649, 123796881, 104961538, 428491002, 723209136, 157612994, 798566442, 114038679, 303028738, 288546280, 14896023, 914307270, 421370068, 64544821, 972582169, 648904716, 319493793, 738954079, 612142999, 871028833, 625017976, 506871367, 736798862, 823546375, 980718244, 224031002, 245903696, 771864904, 179992740, 200983897, 168104064, 438734809, 357181240, 388298543, 803587121, 366801074, 920302786, 474253808, 384525192, 660798387, 80236646, 75350931, 206860908, 494671008, 983708477, 432080890, 938625968, 531851862, 882405039, 936151401, 27017252, 215151461, 739241405, 155645928, 153854661, 536924100, 19296916, 20517633, 858377345, 286953545, 377543790, 720002733, 449355212, 929385922, 248261024, 364250284, 931107403, 447658613, 729185209, 925075654, 645525108, 718254056, 485692488, 776276476, 606231095, 439787477, 850171576, 42313496, 165109681, 33889129, 611545233, 714906586, 975967508, 65912905, 598225615, 161151426, 78374580, 322003433, 169450095, 11266540, 339670728, 121862230, 218639402, 266315327, 910959403, 51333918, 712163529, 258794097, 887427871, 328571876, 721848299, 22525706, 920614624, 129695699, 447635955, 158638122, 550656073, 56174381, 933017812, 1455855, 143217309, 725917452, 892851494, 427122829, 66135344, 982572134, 146650732, 450252915, 627993606, 919838189, 549582479, 427262842, 857357072, 855573109, 892536218, 336435013, 933508302, 756956001, 813903024, 239705144, 406983873, 393046170, 39756835, 161411330, 551427950, 451332493, 528831502, 2300168, 317718575, 374984575, 236680049, 436422393, 168590014, 810197305, 846734445, 118661735, 134041372, 344772948, 121460070, 73649065, 80581720, 482553392, 528202712, 738142731, 739598252, 90693690, 838904109, 643042677, 836476324, 341173829, 262415735, 453303577, 886871059, 753156140, 270879570, 791626521, 526944027, 822684191, 650282197, 61177496, 612803681, 415361080, 681932251, 625237658, 738503519, 430479888, 81061638, 86354775, 305710426, 287898419, 76861785, 827335455, 64025053, 786111349, 61932477, 191372161, 708891423, 457484777, 160332219, 513613254, 506229347, 369519698, 489134484, 213850746, 806359717, 492000889, 914010637, 9567627, 543143922, 525877243, 301345315, 794555753, 235695934, 27351800, 498339247, 545727518, 663460590, 671033785, 14313321, 220803145, 924804508, 170765935, 328347698, 422057464, 421206954, 910321426, 603437112, 77703273, 628939494, 999775690, 909210824, 739476996, 805286765, 567211764, 599987815, 250793383, 843277832, 913534903, 352990966, 821846600, 736155261, 152540269, 642012003, 947945796, 128971873, 82126173, 635985788, 175454933, 702325326, 696017189, 369266773, 58274128, 589091440, 650144482, 183871569, 578602362, 936387616, 120609948, 348055661, 66760305, 728389869, 32579773, 553826853, 917071766, 475842075, 463263018, 85375969, 673184088, 124363371, 842320319, 21954077, 897249950, 77929946, 811506583, 460540329, 503432924, 556496230, 174696610, 877220919, 624338502, 741574657, 72209927, 212904338, 20050059, 431766006, 244746640, 118842916, 859312022, 35319922, 759179399, 409276170, 794989185, 81618193, 83362611, 976472520, 890003444, 957277438, 267622178, 668624864, 977777814, 98424722, 975991716, 198139011, 272419893, 424963616, 404758665, 35914173, 492677297, 282978751, 101119169, 83412184, 954459679, 273989444, 77063583, 962018903, 180021932, 574871343, 136860883, 963074951, 769669373, 615905925, 977346629, 265827251, 931022358, 160162034, 407507737, 867056647, 851732056, 400680143, 388023040, 835135807, 796126934, 255605978, 1660846, 711364005, 388335915, 773306241, 74545850, 849583848, 902917633, 817121187, 91496444, 573835785, 539240646, 924547397, 292096976, 421992516, 200183044, 77201579, 404857073, 258415258, 183536097, 378242635, 399160116, 918143152, 956711964, 333432485, 442309143, 629679988, 930346753, 427853136, 457735177, 697713128, 658254593, 316472137, 436230680, 658417023, 860022276, 690086330, 276508447, 173405422, 520728774, 985785315, 926017311, 754635885, 980677511, 703047392, 121169632, 65779674, 98826736, 93368467, 885556704, 752957167, 973110172, 219918650, 354106478, 329107546, 496209367, 360930654, 785588446, 937729323, 964595155, 430895026, 871161639, 513018267, 620914649, 352309748, 26834511, 77090502, 914793038, 929704669, 111651143, 387238338, 542366151, 90491071, 167632219, 674170315, 848527643, 968918982, 388398354, 678124690, 440864721, 799480543, 951713715, 470521203, 613360481, 997491797, 15919614, 158328032, 750798785, 412890396, 327117530, 949301928, 432587178, 387399183, 426743655, 757620192, 891858449, 177593377, 210701993, 803634174, 954625979, 489147436, 984366598, 27237179, 616070344, 272001179, 38788503, 82875118, 697456363, 52695656, 988504358, 420135592, 447702830, 483733739, 935223874, 913607512, 377809160, 872222311, 449852874, 130878518, 552022179, 632758788, 625199318, 665840055, 635448203, 800183013, 561332091, 22093161, 766014672, 187139214, 132340889, 407830840, 509332010, 939687413, 160780133, 392097084, 102594301, 392028281, 627197165, 573505524, 438369872, 513357251, 238522528, 635055588, 266973249, 201081694, 399723218, 297754961, 464243801, 115032340, 877133348, 312042471, 334942955, 598278786, 236196272, 937554985, 98867044, 351959561, 962811729, 543102763, 579894639, 868823259, 769288704, 190791414, 539633889, 517852007, 962297053, 133742956, 56716334, 478914107, 941045890, 56494253, 204965552, 618499946, 9753811, 435281555, 777506798, 263997819, 981392378, 255907227, 510747790, 878421435, 519850142, 401220730, 956429893, 619932320, 717196086, 585717282, 183726207, 657196934, 201614840, 456041452, 632920166, 473293420, 831267110, 348537694, 656623710, 617066125, 704875443, 111354529, 969658245, 572880405, 594422054, 638523070, 117258404, 116737896, 375860759, 547744627, 646977602, 607314166, 294917709, 456438791, 581897379, 310556775, 903731795, 953947248, 262151622, 350055065, 850703057, 463327974, 884052516, 676540548, 346616558, 461845655, 292490984, 623896661, 813892740, 572711631, 549569830, 897323813, 834071539, 378705355, 295994016, 746097732, 213062767, 675241259, 10620023, 904133478, 753643195, 611859914, 784180728, 662131080, 280682104, 281888645, 344016080, 236747904, 141547581, 70650473, 296222485, 742901880, 487503434, 700557381, 395399303, 140635401, 784811398, 826280881, 934562935, 199827264, 299189032, 397244016, 179301656, 319660654, 52415336, 100896644, 504077933, 115502502, 682919782, 548377847, 20825942, 632402932, 672035575, 658972112, 197610108, 247652724, 661660274, 236995906, 759891375, 638038345, 703458672, 223259536, 716621023, 898379706, 50278929, 249545765, 564143590, 621067617, 437313742, 954771477, 893746920, 88889814, 601318813, 321525348, 565766102, 595591302, 749493120, 639138184, 11664739, 476562253, 331575081, 923894403, 558812038, 441132467, 775759616, 892642659, 508086398, 199975166, 230793759, 369239599, 702626960, 165558732, 724775449, 330350826, 83535302, 369778529, 990448844, 899451693, 190902910, 942413328, 895653515, 771970038, 269473747, 243384291, 278057968, 943244080, 655115227, 678815515, 279985845, 200854823, 131098517, 278824384, 722502102, 228111525, 848646346, 426605403, 768824612, 871903529, 62289564, 762165727, 914943309, 204088658, 55538664, 17137814, 206529388, 400316115, 279717402, 472431285, 785068846, 34192951, 444958501, 857850597, 721561631, 252769720, 443425570, 492224218, 223622315, 754802576, 378568958, 368089325, 167076408, 351629824, 621777175, 442577910, 647069213, 390789550, 758414960, 774220609, 316490856, 432231289, 799503263, 267859903, 480444384, 781057082, 747216944, 591502486, 132577290, 413868689, 892825, 806235223, 816656782, 736134566, 264360889, 988196198, 845324867, 807169022, 597072731, 147282123, 50873762, 142250463, 651594901, 55306034, 837735497, 786898925, 759629479, 839256302, 738913485, 427251647, 899245725, 948199003, 437153371, 600057637, 772968913, 639612148, 192252241, 686559077, 588088531, 623137512, 70511678, 566364352, 697114348, 598937133, 36036611, 218683946, 786460920, 874022242, 951768559, 286997634, 971028620, 820082680, 203231489, 24895502, 150649958, 104124154, 55424217, 229783831, 296953426, 170878075, 883232831, 133758452, 89496051, 541830193, 331681803, 452363629, 99951716, 107625570, 311840278, 607482118, 628327761, 300475412, 887292082, 489117914, 229147886, 664465544, 422671938, 112521216, 376459612, 775437349, 680149068, 224437018, 527050981, 201640537, 717140281, 365758622, 332757509, 642983451, 252120726, 918856571, 41286249, 196667815, 280456568, 937730772, 881542078, 159552582, 642123071, 354158213, 120986022, 76971174, 636882909, 999631101, 690532393, 243053167, 597107706, 951257025, 442075807, 758045533, 918359136, 384823599, 495355987, 577009002, 401754048, 275345603, 649387936, 461784419, 392802505, 934401895, 559292081, 492494275, 595537030, 360926844, 673476995, 599680584, 94136601, 647504921, 807956795, 700261049, 657274109, 190689489, 4430251, 913643621, 781061071, 802062567, 179324641, 725041470, 598708835, 191941292, 202167403, 201414904, 184154198, 732947936, 762666947, 972211519, 575951977, 23304892, 360281246, 94615153, 853463643, 98107762, 81717576, 382791510, 361814798, 110285133, 557162100, 14749739, 492641163, 776717776, 256670865, 808699105, 748229919, 527264049, 939760139, 729647240, 317013599, 215986763, 830435634, 223396573, 224456587, 615938345, 98749033, 872869819, 115833446, 834225202, 949145316, 415342997, 676226134, 368768832, 522189885, 353415922, 293060840, 950809283, 61214491, 176196585, 831509771, 110295024, 89590617, 305700450, 331456615, 172341970, 118461593, 391749209, 558077568, 245928712, 229181064, 943022351, 450881486, 964130062, 967233849, 489251308, 572648405, 555197975, 920178034, 930681838, 123107581, 268358889, 62357993, 75447502, 613452334, 7789527, 723059507, 534734586, 814281767, 792773748, 71626146, 224530020, 880562720, 155348470, 724599253, 916081055, 589871142, 699209021, 471772671, 460694535, 672606519, 361461720, 861128980, 361943098, 335380192, 436952781, 36317709, 876674894, 836666403, 449897794, 274131368, 996943147, 948307743, 611019285, 643421641, 61459214, 555669332, 521046596, 25746295, 615891371, 986577674, 613000189, 958892583, 892515569, 922753454, 224418864, 704309220, 680742773, 641952273, 285130009, 868319401, 137665786, 677845083, 8457024, 964583677, 762824532, 975203794, 184012831, 597636608, 85785384, 735505376, 233190880, 5839378, 838129429, 477950590, 381473948, 559033, 234593520, 576034390, 46149290, 272211202, 791370544, 659260984, 825167986, 784122326, 648187855, 566106007, 142674188, 796455567, 249533639, 241937152, 388521562, 558346660, 519039044, 777947231, 362103064, 920574858, 606241004, 983886973, 210813154, 815800294, 205931407, 658378073, 389413778, 705658278, 205430669, 191372789, 487705491, 628651080, 108385659, 412820498, 639887624, 449038274, 675641871, 417282152, 577840478, 585356406, 164346803, 922519294, 352977060, 18638223, 982143718, 118794971, 484134079, 91583371, 623002840, 3482795, 108296032, 742779108, 481868576, 890045314, 191743983, 338004860, 533765826, 731031342, 355158930, 793733032, 615312530, 650185556, 191799837, 335715973, 351713738, 594500849, 45665036, 415765318, 149824770, 534583453, 748141168, 796906552, 753986443, 931681697, 739640217, 680219355, 146051506, 344490110, 286006037, 383990478, 824028601, 399677204, 648616159, 732967544, 812591622, 644484933, 488725186, 303921016, 61467287, 839403249, 77609203, 972484059, 339162784, 145771993, 534801331, 232453905, 668072420, 883295932, 196978970, 653862720, 294135999, 130380761, 997089842, 181396474, 798468076, 518868995, 780540021, 698170649, 151122454, 6148023, 706122356, 496409015, 978334527, 89504916, 746376942, 328379185, 93355177, 773331262, 173340783, 83657411, 952083087, 508187551, 795365719, 378135472, 814868331, 505122960, 834807888, 5514779, 988593237, 115605187, 129842970, 84694543, 350754223, 575930176, 989360718, 529162374, 861434560, 433325270, 202216636, 186918105, 990255228, 517761992, 712355253, 280518323, 838569445, 375041019, 145405007, 412779355, 564473441, 301691736, 188855329, 764295204, 997608028, 710990607, 896381506, 337415560, 39389566, 775505121, 563398041, 110573861, 442500765, 346268439, 295699419, 31161493, 319500813, 795460676, 453875988, 472168713, 825604145, 37325283, 207664123, 128660004, 313637812, 153808311, 905643187, 509201096, 13763280, 370215025, 929810242, 200055012, 12552184, 469125164, 187745450, 625734626, 769309744, 400763993, 559691882, 999520308, 681231718, 477022107, 319537286, 186696036, 212526663, 194722464, 889036273, 316186754, 746473341, 89666255, 83625947, 450799743, 998614173, 928841454, 382622439, 105936957, 573754394, 82035961, 489508911, 637706327, 999048954, 723782302, 470706133, 496873089, 820381362, 970412034, 668612285, 16185802, 151234114, 835195935, 178728400, 74249244, 392520891, 423539561, 812049603, 52120288, 798299114, 198439319, 697731870, 303884532, 862454817, 294640557, 205823861, 538843041, 249584219, 774568170, 609028547, 536697086, 767484913, 542952649, 623085413, 15635083, 819766320, 245935055, 217900054, 238081397, 501559110, 513524036, 643473124, 53403342, 148819648, 494354815, 414378059, 225789288, 375978562, 140898040, 415793802, 37925706, 163630651, 222625161, 695546847, 634799769, 528911903, 592744056, 83218037, 586436071, 451816073, 38812950, 370712532, 729530476, 56304673, 592936222, 661762572, 596515772, 115445391, 50741909, 735459524, 100166590, 906738944, 523613294, 38725665, 819565617, 466272334, 275259664, 11096482, 668787258, 664830170, 845414052, 335620688, 66327113, 837100856, 575305977, 181424456, 380286353, 139850227, 460053099, 334938246, 935616735, 971894923, 101082057, 864983858, 193605650, 202623772, 14956299, 376531601, 391139379, 444393177, 928028288, 654734125, 575637450, 596750500, 690714746, 60425109, 943704518, 404344363, 932659456, 854176794, 89155746, 737064964, 366181962, 64228448, 860980768, 542576385, 294716010, 558288896, 853114799, 529598433, 567383338, 83239015, 655948406, 535316183, 161487742, 153497186, 323244584, 514361636, 628159467, 619950453, 558021164, 111810359, 489435787, 429256450, 712946159, 884551010, 37976262, 373088190, 937430487, 406104709, 978144201, 723554541, 731706461, 780546643, 32920059, 764351648, 424463937, 733785681, 487958675, 51134750, 788050196, 702778177, 192779459, 803748488, 1056430, 684693820, 559492709, 405914836, 670943254, 21963251, 790408255, 8786968, 11410130, 510557604, 630538636, 595649089, 144629295, 104477209, 365272957, 455619206, 69823439, 945984094, 656901235, 951624891, 233891381, 832655357, 407623379, 511260369, 723680466, 804453701, 13749542, 96560727, 966865233, 480815193, 244386940, 711072523, 895637688, 919497194, 886960640, 902375339, 802478016, 89598090, 833098079, 649746581, 646147824, 793283967, 170145349, 119156652, 616345393, 276521738, 649859201, 48806606, 710592867, 868263554, 567829659, 53833455, 689152966, 478257680, 131761791, 761551146, 753871157, 37249661, 49155309, 459721283, 409682165, 571479808, 635275691, 4566365, 747645171, 935936442, 5925126, 824199412, 675673575, 192482814, 706808556, 988646688, 26235811, 386344774, 326750773, 550846551, 10434489, 926489944, 9442567, 421809841, 358724860, 158389061, 401985449, 157037423, 671765013, 257437521, 563183630, 736687214, 365249928, 297588430, 337818898, 799349091, 203577773, 112999587, 866047954, 35766882, 606890796, 245827155, 111947665, 967329037, 393348033, 665352456, 27352556, 177118471, 947062603, 152223734, 800066116, 882163945, 69477330, 909331543, 344192536, 257178663, 583712104, 89711003, 913476651, 787325325, 401801379, 943437258, 518862744, 779141450, 697930608, 435426073, 427576633, 994252376, 450848753, 424294580, 994273603, 853156253, 684057277, 67937717, 202784923, 193687484, 395938712, 749803810, 596293420, 692658711, 972572514, 55974944, 711359306, 707589263, 404011632, 424817673, 549587856, 624690110, 61942297, 703143845, 329769830, 609630872, 500748336, 128307321, 925703276, 28793889, 284348235, 644810652, 760497840, 316153199, 319356912, 317023094, 223341673, 221510489, 125466703, 155333264, 532686446, 369497692, 576438547, 584466240, 473388717, 824067208, 460492318, 243130662, 831343187, 86682420, 321886768, 897202145, 49796122, 86319448, 791018765, 171647183, 964787536, 899657946, 236784822, 473123125, 202488872, 225115927, 315813502, 919737681, 15688696, 549349353, 505386661, 892695260, 99236414, 171486479, 848165542, 392323177, 936843357, 250875890, 446843587, 583589468, 709668506, 127754166, 982348359, 244111998, 404865348, 246164107, 27596021, 949061098, 402291281, 602948375, 203007667, 145488012, 527716424, 721073539, 6053013, 307956318, 475066026, 948586242, 90927781, 239763679, 58803153, 66699966, 264537658, 691347465, 904013857, 436890195, 146763609, 150461045, 362009859, 862839738, 711798940, 628507881, 313173132, 871296139, 171544327, 118493574, 257444841, 387412955, 356204849, 891596676, 885340244, 581046848, 741003963, 214775118, 230388119, 950760399, 365990119, 832286638, 498152820, 376570416, 930961372, 241471907, 458980162, 856728312, 607251679, 364682576, 170626831, 727780808, 112029603, 263547155, 445008214, 824395752, 511235454, 701019846, 74660227, 421225492, 923594823, 985777855, 54494130, 584046873, 624047846, 681756446, 193703606, 683237760, 614264382, 271415407, 455124786, 87862608, 139407128, 229305863, 978643237, 208767015, 939195356, 468440037, 206459383, 616829478, 721576467, 33333370, 321427416, 285231891, 40994820, 389541300, 95653657, 274966757, 751387007, 309196002, 176427434, 575905407, 673034691, 709747180, 804480148, 592222348, 137937099, 141658261, 78235141, 757045558, 374816735, 410073073, 755955005, 952113710, 547621883, 626731023, 690253930, 868752529, 701162060, 942595623, 214511170, 767371440, 827344355, 792940485, 381197024, 869603856, 885981035, 848805185, 565025276, 128253667, 405120971, 757217666, 92445735, 860167399, 794312423, 790201739, 587618132, 599971717, 962616788, 993768341, 258188961, 338227381, 884392328, 764708856, 50841270, 808315287, 42503360, 396301443, 499841907, 688907531, 951921332, 854910633, 707133451, 689380899, 770959720, 976646728, 806263311, 403512938, 278597154, 224704058, 441893014, 755357293, 366775262, 845005873, 622869129, 922937098, 737068890, 490200042, 316458440, 896355260, 25399364, 817727909, 366776876, 492538283, 124275331, 341540805, 601435614, 991898362, 861381184, 976066064, 686789830, 888755975, 636086261, 838149306, 403798534, 248022989, 616860961, 317491874, 303009954, 255418117, 728379121, 174602440, 682153139, 544077864, 792400905, 429151937, 9559327, 889898111, 134183845, 882179731, 676082208, 808983815, 964639270, 908382736, 221825815, 948780640, 941380776, 51756748, 435649327, 801722616, 848915505, 766752858, 792250102, 551732029, 286915993, 420835918, 55414752, 832156527, 66448055, 234065806, 615900565, 417944236, 560649120, 376085942, 737178151, 230353039, 883705100, 854938354, 459016101, 122364890, 778603173, 660866310, 167313542, 788524018, 30773400, 853196443, 799821777, 828791608, 98544368, 780080656, 185484851, 785102071, 791086800, 568933610, 855522219, 353912199, 891487113, 460368218, 204377445, 359806775, 737786461, 53651396, 641602731, 804692109, 203647032, 969548915, 194194323, 515186623, 500919740, 444357902, 630414082, 670213970, 15950731, 128877217, 496638017, 839506540, 420914059, 825031294, 547901953, 175439595, 35435121, 516962158, 750056847, 108393962, 902488984, 321394837, 754892154, 951698765, 806725271, 631159720, 261139450, 149501931, 24614401, 548282656, 120024540, 391652118, 82699131, 315561562, 131856090, 379368560, 935350, 978386352, 364037588, 800351117, 401548329, 828745004, 465255763, 164490792, 430603761, 792107189, 632803474, 317150751, 74394861, 160129167, 31114396, 627180503, 407601897, 362515730, 583477969, 734868755, 954569646, 26423502, 884943379, 524489780, 728810012, 12751735, 110362774, 50851537, 835589295, 843218025, 60052536, 22532462, 200951670, 933302265, 182294533, 519974426, 800210538, 849659551, 739894512, 999360036, 623575645, 240940902, 136009573, 871459910, 387266827, 427792462, 861862734, 495689024, 874310955, 325836993, 201133935, 859334430, 689148346, 95022384, 278769422, 468203449, 909417663, 873269778, 972193159, 232861713, 423185514, 690154161, 58710631, 227660419, 501551519, 545407000, 493990315, 595701606, 285529618, 490056138, 830530895, 81345283, 204314238, 572151079, 509434433, 599397054, 715269061, 971728569, 507279500, 311502653, 304808149, 130278074, 138490184, 54522305, 687922683, 284249396, 213761938, 437295313, 592839815, 343330950, 962773618, 593897662, 183980314, 783159684, 997604994, 908982760, 936857843, 283689478, 956527480, 831736278, 3975774, 505784111, 640737276, 454572914, 274101666, 406443695, 866063595, 593304362, 951844861, 689040047, 213417061, 345884754, 460694710, 773351475, 129341447, 374195130, 742502881, 554501810, 420838668, 367882762, 744524326, 519298981, 764198027, 437744865, 187232628, 767596965, 422367411, 169794052, 997713825, 152070130, 444217900, 136334467, 828856363, 258374898, 204241548, 516538332, 487801609, 807907762, 415298661, 469915030, 133307238, 46299087, 348871454, 463385395, 787713577, 700241272, 342726954, 18802002, 614761786, 959343860, 310101176, 658343864, 396725914, 623687633, 192284770, 918990858, 731820804, 568503703, 457227958, 141672886, 797546948, 785676282, 868450226, 692469464, 364289308, 763115048, 27047461, 986086255, 814916089, 247404034, 309199771, 472635788, 850127870, 735232283, 543154030, 832190660, 653766530, 982364780, 111701192, 637574509, 912369879, 262426461, 146766977, 69314286, 653523377, 901871167, 638695547, 359007738, 660813993, 391271132, 21676697, 87669486, 842840493, 635500321, 336744904, 273523470, 751828381, 988170507, 287300093, 847788859, 802182748, 515229832, 215703057, 954251113, 607667942, 915398223, 969253435, 550407383, 182810374, 452128605, 519693521, 861246668, 215864718, 166976288, 665979948, 129902100, 877347734, 596596015, 1020870, 494089763, 8778567, 489068177, 928588369, 710566649, 383019948, 862530958, 377186966, 433148478, 190375156, 408700934, 215442599, 861897811, 325508539, 100931688, 548879316, 207344246, 468978601, 460083014, 564405246, 317620801, 694457396, 932605259, 495845660, 905441809, 293402728, 667387758, 646026442, 15067393, 950999672, 725649955, 540067176, 740949069, 830265228, 804781000, 843764826, 676179535, 645121477, 333053691, 848745200, 177325116, 189005151, 943916087, 273667375, 909768476, 104655848, 606294632, 429918008, 665164447, 721720683, 309860692, 898514351, 874546785, 732741586, 442736886, 747485219, 321650587, 985723648, 229383327, 805257810, 934530073, 847497721, 178799401, 959454270, 899287643, 725248941, 595008482, 914498518, 91044506, 869129293, 120581184, 838542598, 25612977, 871131109, 589967216, 378566752, 931720650, 794046274, 235279279, 651131407, 958607680, 862078049, 643547469, 670398406, 116688285, 265726446, 547447226, 270354930, 548902707, 45805120, 361828369, 927724476, 269141291, 885856420, 712140164, 271191049, 328998194, 658937822, 602563522, 384991863, 850107725, 910259810, 538669556, 284519952, 937632951, 421642576, 528875493, 940815553, 5303440, 469243430, 671100709, 138660835, 318732140, 837857760, 982841626, 964303293, 424533757, 96488749, 515033208, 346486876, 241264320, 515013425, 165935773, 259534973, 711585959, 170405135, 583401306, 324452137, 246013349, 829214250, 78057933, 10973390, 335530903, 766166152, 676422462, 909652990, 62043054, 284714244, 772098704, 900050595, 338081174, 330044988, 450154005, 830008262, 691171247, 881984196, 750627451, 797335993, 731839233, 525229811, 461813564, 143411210, 366780810, 154644, 137291893, 801337233, 531332269, 161465356, 960998395, 131068443, 421110178, 379945830, 169204066, 154493430, 424437052, 146923156, 763618940, 257431939, 919381715, 222900362, 857958444, 409668835, 991938650, 654204512, 308473143, 207028569, 343424777, 136128946, 213705119, 73224039, 997584129, 384000298, 73473850, 467665761, 181725743, 74903678, 4368287, 341429149, 776640373, 767836337, 28766763, 64025693, 809034838, 839353531, 451091511, 469276172, 930028185, 322164704, 924930020, 632953915, 425240328, 351107261, 975697411, 322136655, 363429134, 220439150, 243289451, 937986111, 726692582, 375621949, 500916136, 182544, 7458363, 670526023, 472551501, 391241422, 51532131, 430483387, 124205288, 41237718, 576177491, 459396406, 239701773, 216307662, 50930252, 73403103, 302614988, 302811921, 48978594, 786678891, 718211587, 748586289, 894920992, 170374244, 449491003, 275007745, 950314122, 459220187, 680621344, 741449756, 250408513, 370375855, 519809765, 666588947, 750294463, 524471161, 938977824, 860595088, 192659736, 450209503, 590589110, 100792236, 567005204, 235088011, 815499923, 169810656, 358463180, 966296640, 652812913, 920358086, 491341436, 365807187, 728396835, 120233355, 352244494, 242634256, 191764795, 893123186, 496582447, 168996828, 604041007, 872018375, 220318585, 630578354, 576976196, 142028431, 452723098, 463382074, 264111718, 735836935, 751529277, 821784708, 48926059, 878924423, 98332396, 390471958, 619849302, 353528974, 326841877, 984393319, 709628897, 695894172, 620046530, 326698509, 254886795, 258233328, 908288736, 560128657, 868674601, 477516089, 339247235, 887504824, 756470497, 241660839, 238481445, 495062985, 346327421, 474553634, 634005509, 758591366, 639812987, 641509333, 963356644, 581915422, 291511697, 146417392, 107644590, 164024983, 113935874, 70277103, 276499010, 704147142, 290811389, 687370468, 327993392, 965649515, 291073645, 14354010, 491973935, 360009466, 828878475, 787912674, 809666438, 542353117, 716139461, 95658771, 288538349, 225707327, 667446279, 461554152, 173820694, 519002555, 572733046, 217385159, 524717282, 149290079, 46268110, 474792266, 285847827, 177065120, 795940597, 219888685, 68691464, 826806080, 660582501, 243785806, 676265103, 353634280, 686777668, 877689344, 146406, 525909470, 446635861, 553838026, 645170666, 265462693, 184941251, 492412364, 726302610, 671216395, 962286290, 49071180, 697555623, 556431209, 65057183, 826246296, 175892515, 996807064, 497394809, 18250212, 16064546, 514847961, 941906627, 545833422, 484063826, 705236563, 399363201, 753670834, 12420303, 715184689, 492931907, 669378467, 302560911, 15566484, 923400098, 84124942, 709460988, 751517942, 759120289, 574267846, 395827573, 82244812, 93928397, 85801020, 361395474, 491415086, 659493331, 33915316, 678096934, 461421017, 280891355, 667487746, 670548379, 338383235, 454761420, 494544079, 77013077, 529891743, 59873685, 501809116, 323518874, 422865923, 223917189, 650421614, 244055384, 946045179, 693624542, 509264752, 405224329, 115986947, 517690526, 976839968, 202849498, 218278597, 527519520, 612062159, 647326851, 704874329, 78992284, 224490505, 208092506, 195580044, 340328249, 991919764, 736067748, 443912321, 382550801, 311519741, 972487889, 327248674, 655142861, 577152448, 59997163, 727922212, 853651524, 575376677, 864002884, 335735938, 379578541, 363037512, 556739349, 621314048, 681017905, 914789426, 771568299, 960138836, 447869350, 236850791, 975086234, 404388591, 971964166, 971035965, 587045399, 913332020, 955976759, 258478404, 186458349, 488735426, 25074223, 431183565, 802236962, 628825549, 98508965, 143636588, 132232978, 278528678, 378172373, 291136841, 641551370, 636243718, 399949395, 963192152, 358493821, 230843025, 272852980, 475925332, 987546666, 202974821, 552994274, 856462999, 480114431, 144074356, 334646934, 795749452, 13102793, 510068321, 81856937, 739383126, 488614364, 706949822, 558778159, 64592931, 435684031, 433423918, 375067103, 423686756, 755813394, 537816571, 944202586, 899323309, 411801663, 938907210, 282107857, 859377372, 528873409, 196097286, 715222093, 578778259, 322255723, 182808284, 14650055, 503418789, 885936883, 841151650, 272201445, 33150715, 377697459, 776853434, 500497827, 168603761, 817208035, 219448082, 383876378, 816024601, 781375682, 407947532, 709362081, 51017255, 750619175, 650860184, 182475658, 25155949, 411745539, 197704833, 494774857, 916067789, 498825180, 746454471, 160626879, 323687027, 368311575, 101001017, 754429117, 68496902, 597400254, 399664642, 856562678, 187035166, 885647743, 427791734, 127376289, 941213390, 717081487, 134663266, 855996703, 743806596, 215940541, 527616773, 381564014, 61564717, 443654749, 351002743, 233026530, 686092368, 443696771, 823751585, 260498037, 285543207, 47762170, 896332249, 542293479, 267146571, 280455549, 589415219, 885206047, 444711546, 404064545, 219437567, 407848364, 572953618, 967122173, 642521225, 901684407, 114826305, 680331487, 553702707, 184474388, 732810015, 339289465, 614671025, 377957024, 563232977, 55177382, 748212269, 389068865, 212182344, 997448126, 656256438, 284286277, 429762224, 283790151, 109116952, 231965258, 526485860, 838742654, 647611552, 267004277, 434562674, 374165526, 368807703, 944453773, 122274138, 983985383, 32251076, 90709030, 6178163, 958493993, 75441930, 179706305, 945694876, 331332899, 626509477, 161760448, 205067019, 651424422, 784711305, 677992709, 489865161, 870118782, 148009097, 977666062, 539762395, 616927903, 177280733, 745522698, 400781406, 783668149, 67335416, 656836024, 18810902, 399749288, 223386648, 53896346, 497905880, 766917739, 145373190, 213456471, 430689672, 372764602, 217989471, 318320050, 916170808, 657230869, 959893829, 768817743, 582928089, 562140594, 521875284, 160444861, 705365441, 124779785, 938499475, 465606215, 72564109, 698130843, 327263635, 522245158, 933147447, 801936003, 960931114, 433705298, 764935426, 205957858, 871981392, 846754730, 778835502, 547036456, 547517430, 54152475, 532186996, 227588653, 408883896, 319299298, 128293744, 213893976, 609889995, 799127372, 726698101, 357892563, 887069979, 322390736, 628669999, 448857441, 952191372, 203568950, 474592021, 532123855, 357505717, 86284799, 481774523, 613729477, 618149478, 627571567, 879481357, 818908420, 906286499, 60453434, 499206233, 142981579, 310963409, 698843724, 501870719, 761222212, 448494649, 267652977, 987617510, 949261219, 886749350, 205257178, 905975074, 140979188, 510024357, 892337698, 669116593, 407921105, 427914316, 605863520, 73739201, 614928951, 90883732, 846370333, 905712739, 832660718, 110279005, 31611181, 146533570, 666985809, 827729453, 491718029, 643907707, 66275463, 40245149, 947524249, 742212008, 585539281, 413017131, 126376842, 68298608, 302393430, 435165490, 26503293, 815130279, 675087932, 107881595, 840086088, 701234019, 536094191, 663501145, 628963517, 674939349, 490033401, 480056560, 357135496, 534761106, 343551173, 126017165, 181289491, 436525873, 987046783, 842060927, 772013738, 489829483, 94951556, 924378715, 328252560, 57945729, 707601773, 688590445, 38068465, 964651183, 689954423, 312671805, 570087222, 4196461, 783708100, 577469181, 547380694, 377396979, 976275546, 50225063, 231305932, 703428506, 491037325, 757920136, 176553368, 213119299, 654831186, 861242704, 511429760, 580217063, 549329141, 923004767, 662464674, 106632071, 815057066, 532364958, 811617179, 11415899, 924602251, 673184293, 580930053, 469075104, 744826072, 991461777, 165783116, 660852531, 222398158, 681091170, 580310921, 897468129, 573196333, 377011076, 866933702, 94957456, 654443792, 516010221, 436067520, 462676445, 271067994, 622348445, 929746934, 82795144, 186849365, 636331910, 810786423, 891215067, 235074652, 818281839, 600809112, 494809589, 312679942, 495111688, 457232182, 100237761, 980059424, 101457023, 25434915, 918915723, 466475446, 851747177, 850186393, 406409027, 604995180, 423222026, 644984426, 13344909, 594926983, 281135623, 575613213, 143434178, 570874040, 844693516, 304963158, 71384940, 777924505, 553768787, 555998765, 810429914, 740219772, 358643796, 937987367, 238534992, 450672347, 231136336, 567142847, 924525168, 203363500, 368753888, 688525299, 728077826, 472448062, 819092077, 669581611, 275204072, 237889087, 230810420, 431084982, 370064776, 373005663, 347771227, 234327802, 332983457, 652105844, 360514010, 556542337, 10147344, 300854960, 579673019, 967773822, 5061648, 640950783, 160225112, 981163323, 440299434, 198895116, 962695923, 887167356, 401125764, 913222003, 722829407, 443017177, 904678506, 484697212, 824306126, 768316575, 557596878, 847460751, 902474580, 984162744, 744786179, 530084082, 650226794, 207719868, 425547564, 661845087, 4202024, 998474523, 700223810, 677454576, 688623029, 973524347, 273813171, 77049366, 386674742, 321718848, 73126696, 159045761, 975041048, 287943488, 331863, 564894412, 462465371, 86757553, 886476080, 733549533, 150858886, 151253206, 985998664, 779129542, 858114908, 464304222, 689722461, 236188111, 381126197, 213900298, 773876363, 682288412, 47755546, 424620579, 376237295, 117447917, 471973733, 775410769, 91189318, 908560458, 927041561, 689920918, 178431799, 735294980, 343870465, 50622121, 994204988, 656578217, 384720935, 353373236, 290282050, 883463752, 691866859, 781417317, 103461182, 790352454, 156774538, 891412624, 782563109, 636679896, 657163827, 970509203, 355676476, 107867198, 181748163, 603035328, 387066665, 191913258, 337674059, 654576829, 659434937, 882076997, 172882733, 144058809, 432209540, 920321977, 880734291, 663049804, 280640122, 223307983, 477189228, 57743957, 184148008, 550592555, 655332321, 459514678, 447750874, 835825826, 195713025, 327924150, 806954875, 983552781, 955585627, 75462159, 291452025, 290376332, 137069054, 495191391, 292913784, 133618992, 673366011, 867897718, 14458914, 73544545, 174117416, 474654290, 822132777, 219237344, 56395630, 572974578, 871179828, 435778036, 833641906, 938768188, 408050350, 670048894, 190147219, 516573021, 75955534, 876212394, 451993310, 288853045, 971754122, 409299900, 316436432, 31281853, 80854520, 968680807, 391411434, 472437088, 320679758, 97711674, 907321343, 326732154, 981552670, 853563899, 85923257, 517251147, 123159103, 905735440, 197484120, 706303914, 831029485, 292621305, 930117004, 170322072, 1451031, 751647768, 827842293, 779303957, 883355738, 863950698, 270877430, 678004121, 568426440, 182022039, 66096857, 222584827, 910570598, 253920297, 592605502, 170920579, 45814838, 124226994, 140398329, 42882377, 256927901, 674316016, 719676070, 226549176, 11413944, 107540639, 290947814, 154681172, 423066585, 96694517, 475559748, 597858790, 39523571, 753315665, 432960009, 324412630, 39941460, 230910863, 625644984, 159514532, 711582166, 372861225, 243025423, 756247067, 947600046, 600495254, 510616868, 540605049, 586998267, 178145421, 556165169, 835514976, 357998798, 921659492, 595194740, 284526486, 498230054, 81887986, 734638769, 415490919, 370768014, 160930014, 551054869, 118738689, 977282961, 635958283, 139081463, 618968018, 178288673, 419344581, 175872018, 553313499, 673768710, 502102987, 743831052, 351425820, 721841848, 355656116, 877967229, 67586381, 872478608, 734120876, 213556123, 626422480, 806426276, 8533743, 65624911, 323007104, 295083069, 777262720, 561130735, 308571208, 859555744, 580233179, 224206956, 935131746, 856462359, 324836846, 489028860, 563133917, 690292593, 805508480, 48644829, 154553615, 638010934, 334023946, 310775952, 643884000, 903596127, 276398816, 415785319, 772946477, 889207549, 847574860, 912821164, 687214721, 892911747, 971530236, 458006319, 999285012, 734345478, 966931708, 32196913, 924093083, 40032900, 584028513, 512259044, 269882359, 852076481, 44159930, 241493807, 53534923, 900197608, 116736536, 229730240, 355010463, 153302907, 828080925, 344681876, 973570927, 135014198, 450232366, 994370714, 830517604, 730779447, 72758679, 977686320, 755868190, 400719737, 531829834, 835231642, 914306996, 364252675, 650669536, 226398179, 193801001, 594746679, 659612404, 78599344, 601840387, 959042846, 3593329, 164763455, 465652679, 586344829, 327547980, 168033214, 683695410, 644717243, 460290537, 412174056, 776394047, 676593592, 721088692, 352088361, 277176946, 59035524, 647973077, 127043513, 748166083, 829104130, 124556120, 117487496, 898184159, 162733398, 670755398, 952928597, 992506320, 185933914, 622468397, 726768975, 792923651, 407354109, 748366826, 800644806, 13259317, 832988454, 332683215, 67486443, 611890433, 895992806, 42756341, 287398524, 812907700, 783511747, 976194021, 270490897, 448563858, 16384316, 150083744, 88229732, 331283155, 58272910, 395169049, 661168113, 427455244, 443870314, 145795886, 241637839, 915088316, 778888339, 381375911, 821276925, 889107782, 69429915, 921664259, 21584389, 233733788, 704612078, 672369191, 302167687, 903548069, 241680092, 732217842, 847501183, 175800560, 405097782, 473402447, 268748298, 947225478, 11485582, 407885025, 155378487, 490478649, 484480737, 423734127, 645177310, 5614874, 59463219, 271107793, 437826279, 758097756, 746215433, 25182883, 679955516, 726533363, 418057249, 947260191, 936827032, 104643285, 564947833, 944820637, 673026729, 219734433, 603601681, 77859228, 694549492, 644984885, 288437332, 2630825, 161857492, 280522076, 962397920, 282710295, 810616234, 238022161, 311801009, 839549629, 916465202, 935837143, 491427845, 721997496, 114910220, 227044834, 905026533, 856223337, 662998693, 239338832, 376604275, 48928132, 409999942, 79037396, 648270923, 740942328, 197757434, 517099279, 66937382, 165722643, 340981600, 644988498, 757964940, 31182121, 166160746, 318413933, 126790419, 73517148, 947675065, 330392616, 486677776, 552707738, 369178353, 325559411, 227255557, 426598780, 79598008, 658421447, 719989849, 832898372, 991998232, 228697576, 320091020, 298070722, 309736670, 982674958, 643747743, 199700721, 426028930, 873823380, 616841419, 839525840, 252240671, 239218570, 612967749, 33086165, 186633748, 792935216, 114191137, 855715709, 54073383, 479010860, 847887282, 167394413, 760566387, 659029831, 678836208, 522807816, 413653999, 846515069, 20731046, 744854876, 887079695, 669920084, 541162093, 729661147, 543987797, 707093381, 562515484, 530241580, 940280173, 924398603, 592178729, 498747025, 77434759, 247287280, 407225108, 125977137, 226375793, 375692428, 355238728, 116875334, 138125031, 770337811, 592872960, 229668288, 207143249, 328067047, 93483923, 145703746, 194892898, 770042758, 589633516, 344032296, 651916448, 520051419, 643368480, 162620108, 229220017, 725622271, 423294919, 607072860, 389973348, 624765890, 287219607, 968113313, 275549649, 638752601, 83833629, 498945677, 929150992, 88918062, 796274246, 637146520, 656363185, 62002492, 409769165, 789503215, 610269558, 373023663, 171912114, 295789406, 585720101, 188608993, 743722589, 349157368, 251608950, 110503759, 566395441, 749243458, 24468040, 796337956, 424551392, 819773960, 51906614, 794992948, 693737022, 430599374, 960947138, 958160333, 195284029, 592252826, 404025209, 28978628, 532353705, 92051673, 17589498, 406022430, 295331916, 101545855, 746627514, 483860413, 696192671, 892677910, 644971288, 943348529, 268030503, 215791961, 702664315, 696329767, 636442178, 693780603, 811358108, 145702639, 628804316, 887904474, 28018554, 474064015, 469423011, 495654095, 595102715, 337689682, 885999955, 324912193, 490848807, 338402429, 612603894, 295959891, 321629190, 414224610, 484124926, 122026768, 470011174, 643504441, 571739250, 638083871, 93385071, 74363955, 839211711, 349201206, 324891197, 473950778, 672197561, 869943020, 165209594, 944135966, 894506104, 577748886, 962629671, 469724352, 532721182, 525334372, 639015202, 310740986, 756080540, 703390087, 205255663, 229079749, 104470601, 547485253, 47092430, 210297865, 810317993, 851470973, 281052350, 51790877, 57288198, 542258594, 145007480, 412635563, 739348492, 480984922, 24993312, 352368606, 207272281, 265226849, 349885097, 916680719, 346433846, 271365567, 627740781, 480155433, 200892994, 555121210, 379628605, 500308860, 459101155, 801364750, 806817172, 928046396, 963668979, 837469462, 171580551, 359178515, 841493430, 174146620, 307255480, 696000907, 933890120, 353864035, 554375827, 336576450, 992055115, 557539596, 596911209, 750241259, 877071220, 108272835, 615695197, 761056628, 778622376, 395949167, 864082239, 313657380, 953595264, 505846582, 13432831, 379843509, 113183095, 26274154, 90056193, 885490865, 816094269, 649225544, 621445084, 129340007, 513264101, 26060418, 448153470, 436790701, 791402053, 436831108, 638304686, 360063654, 293130869, 626846666, 809271853, 177242942, 589169206, 57802368, 770326836, 232324722, 78006417, 546066793, 538656419, 179156844, 725003957, 210716559, 707489757, 550685148, 625065163, 798789356, 808385706, 784756305, 188565571, 892042656, 565092306, 53136525, 881686314, 30427062, 811735117, 108738575, 188278110, 738501707, 463946400, 850822605, 423195889, 261744295, 86729515, 251776316, 1476700, 57593647, 636696605, 546524875, 27047499, 720356409, 212087146, 923676985, 835518567, 446592452, 287885011, 847428139, 545974766, 342262176, 557119689, 720604557, 359559450, 491212785, 181925919, 431545865, 217250169, 227058321, 107582155, 292975769, 115081730, 675266800, 771992595, 340695168, 4571430, 628150709, 358317095, 829515425, 170052032, 939727438, 722403037, 769623847, 204464121, 544555392, 669854412, 994835790, 434218090, 810848954, 847343525, 994345975, 627718764, 976263102, 665542642, 882363533, 257631331, 83810873, 952009911, 264682472, 346300476, 239173095, 655900044, 95025082, 489721917, 327987912, 272752433, 969336669, 198814581, 280957965, 612010436, 382696924, 612953474, 55769811, 489587760, 49890806, 63175779, 497051549, 362479590, 49500275, 639783825, 322234134, 964491970, 838981261, 335918080, 3049553, 90439112, 369800296, 350540106, 53042905, 252465284, 215550432, 410267679, 26804611, 304243864, 212804762, 31491545, 884518773, 206424418, 116351655, 414447643, 26784291, 779267608, 546929528, 890717919, 949590142, 601585143, 335157813, 572328552, 710654198, 783192292, 677879400, 181293267, 408197390, 214268964, 915120990, 24437114, 994148373, 648423533, 651088501, 200851469, 246332794, 688318717, 732592513, 347025967, 795603875, 396831528, 413514542, 789562055, 367867572, 764231259, 843564887, 149314158, 424723477, 103946826, 609697033, 970277978, 651523993, 584122484, 746759651, 140585654, 610389669, 385761215, 6816276, 990874898, 317968933, 4300163, 993660975, 420220970, 339996748, 680936970, 976462920, 318245685, 863611434, 346394132, 868325616, 876951122, 700509864, 729802347, 256442269, 445867223, 330909457, 774495126, 809545999, 196739552, 58636696, 347831760, 449609426, 642752726, 182870380, 503196977, 366086209, 612263548, 636585107, 104478681, 406703421, 265892892, 545955391, 773405840, 344114510, 249223533, 652869507, 714568227, 29548069, 374599324, 907401917, 872390550, 636035012, 639521042, 309292200, 965735296, 297648331, 935902293, 812860617, 400828478, 857969447, 200187156, 362818649, 804370575, 379686695, 24325680, 422843978, 106230185, 702456353, 786507593, 127375121, 786796965, 582864695, 414896579, 387085119, 212789607, 985957380, 21811430, 536685967, 186326108, 87599311, 744919198, 664327528, 364516699, 947549106, 725874350, 340543415, 310038303, 350268706, 647328031, 590026275, 734978871, 616625415, 282451690, 87242078, 820695614, 66249954, 251188338, 899511248, 439506457, 809002333, 675676403, 98773780, 221955881, 821644928, 869704863, 199764320, 59090726, 354073375, 251073441, 324727590, 747798506, 446019795, 96366819, 580892467, 72283387, 809536546, 142792452, 23063445, 205308577, 361745710, 124583837, 838826915, 373965923, 833283341, 103174692, 685341827, 643235569, 183934113, 858340764, 263006362, 690667906, 93318394, 504727090, 479247616, 745960932, 322066757, 201900100, 656211252, 618132798, 26984289, 101130706, 845257592, 817423157, 22642397, 233911651, 493337831, 514954956, 423176889, 234112003, 978597216, 648106405, 613894491, 213521853, 357625992, 213407606, 326015936, 578176873, 822360723, 29101865, 508238509, 199795038, 374071251, 104880182, 220221565, 645537045, 19338948, 654863953, 649055226, 859526981, 59752839, 944419755, 826540483, 859959596, 175067963, 555349538, 93397922, 365111928, 139138283, 221288289, 19509823, 591255377, 150285675, 459268987, 53618970, 189319722, 238074825, 401920241, 411059330, 248301442, 851720795, 605229376, 892624985, 320253725, 958272538, 108478551, 894424464, 938096034, 991799076, 284599132, 665386127, 552082748, 362600338, 976339152, 791297660, 725624404, 700087112, 603878181, 271581949, 512095655, 220470568, 253787676, 796269055, 755028543, 338140418, 747596480, 863880296, 943201355, 918061271, 79053128, 338881953, 9081365, 11288933, 213135352, 697147634, 134808322, 783965535, 359345895, 668077426, 803443816, 450340836, 161247429, 825742210, 506798694, 127936740, 365843319, 520758918, 111231319, 387271471, 523767808, 630935701, 584065657, 336774332, 711839397, 425899687, 465335455, 809618613, 856710290, 262620597, 107370020, 919899960, 451111013, 561001351, 32318571, 115846721, 636422643, 771585669, 91614779, 53189063, 990390442, 325352811, 472546845, 451670257, 239352956, 899108669, 299915465, 841165349, 250692287, 456668930, 612483531, 117447918, 355553164, 752999524, 246822276, 943353160, 47883680, 29550445, 761110392, 767017225, 914023061, 497307864, 631915439, 378182874, 989392710, 826951470, 302813039, 416635059, 486737377, 176462286, 775208669, 347224390, 885521652, 894369452, 826953821, 204829552, 414302159, 350741366, 318675315, 879093110, 329158064, 828839817, 825000262, 157648617, 731061109, 283159342, 74515075, 159201577, 399645390, 859472894, 362233241, 357255939, 208011746, 992326065, 389319851, 74455506, 143157336, 847866410, 464039829, 590305087, 769077384, 566004365, 197817404, 49667255, 363483343, 883090186, 836703876, 875644927, 788724457, 325214736, 594693127, 958596513, 195357870, 321453787, 730176888, 382555283, 506876378, 458945136, 526744585, 398311317, 441195891, 613804006, 419083439, 736327674, 658463933, 5633086, 97118524, 446769171, 445586549, 749607371, 46491280, 815018369, 602032616, 780432502, 889328059, 365181401, 333819662, 97887074, 588502803, 882799226, 994805247, 623139999, 18887330, 654823028, 265933125, 855193598, 15529935, 857278321, 890238930, 2211453, 627997816, 400293473, 568016872, 274704439, 68259449, 653209318, 426292959, 604046609, 541701664, 76649200, 122529380, 610818132, 576431272, 842052783, 210587903, 39615934, 195133333, 579085203, 113464331, 287995784, 865650145, 384464326, 613972442, 374532436, 272227285, 199013954, 344109365, 288150074, 492777376, 665766287, 312029956, 329880495, 402464948, 232834912, 488477323, 726379989, 424518919, 582775104, 689515607, 621387736, 546586505, 51449919, 487121293, 524931594, 116978778, 376668309, 86093936, 178621492, 100899089, 86888327, 382364018, 348792781, 202202168, 193059820, 330811292, 899214312, 187418097, 261142950, 933235950, 830926532, 526476853, 607071966, 834430659, 774096530, 833643020, 908847992, 506477803, 530479497, 551860801, 933646262, 919731471, 277726924, 423506136, 949354009, 302337558, 941144680, 526088782, 736571885, 163882493, 608456314, 623724135, 262489509, 46537034, 751123661, 714699609, 480313820, 480165022, 656834560, 972208853, 93977586, 140078264, 982184042, 136362190, 279210853, 66380676, 43599452, 906836065, 864645313, 561467839, 298228927, 451695698, 796878249, 533277586, 283679018, 198293550, 579937395, 832247153, 314436145, 745965929, 926979422, 828604683, 745110878, 595126806, 395345738, 760784274, 535752614, 227754074, 624854533, 998043424, 214348214, 575537348, 742409631, 929983220, 645594268, 168945797, 733310260, 999875050, 573879437, 524325796, 495049013, 389185392, 266943510, 531430334, 806159228, 270891412, 528881370, 252888708, 557167706, 854765721, 741916282, 853940592, 944229020, 655939417, 988348132, 516283167, 536476930, 398372919, 668683561, 453125958, 594047740, 340770898, 843865097, 865147722, 551607995, 119944440, 928420640, 876788069, 435683758, 576878743, 10462514, 783182946, 921927987, 257402070, 688573402, 300786675, 866764579, 990863808, 760873133, 476312504, 557423240, 437398113, 536064652, 631668914, 173998625, 169017583, 192582323, 701443609, 188417260, 472086368, 306801146, 186577692, 689787528, 773083813, 264427360, 598786886, 884536244, 288544343, 158744152, 145559446, 821120847, 340032588, 177474826, 896841866, 707478261, 956324675, 453953335, 860971386, 161150820, 22911003, 603431639, 840870628, 285462255, 695397145, 519356478, 745148402, 316374780, 34500997, 580164695, 792532503, 310838113, 254944989, 618074788, 570457721, 844704717, 759102768, 942142823, 562386241, 474830030, 960364846, 154692015, 569276462, 664103654, 443304004, 897685732, 682258696, 668387643, 713256899, 763204567, 71115229, 7213068, 654370875, 733166965, 347400182, 968136389, 566121767, 654016069, 663592356, 317119817, 197197978, 735392655, 890560168, 145524099, 931403758, 945848294, 356582002, 812911737, 242741590, 221002186, 406259175, 301572002, 109757381, 689807517, 255527424, 312912606, 281699109, 751182063, 377284844, 134515739, 18666806, 541261426, 945266428, 258816166, 270882952, 529638692, 462675800, 474557723, 692996398, 995542515, 388623380, 654047332, 201812463, 305225261, 517561675, 849260915, 376990725, 916939753, 942904646, 620807047, 502572473, 543738333, 600301356, 518610968, 677796078, 674994425, 709406320, 414878354, 242518799, 638214957, 629995597, 967806692, 751072064, 862141043, 62535368, 496802197, 654691817, 514360716, 987057274, 529733831, 857728253, 624501902, 512646422, 762655724, 126530142, 405594466, 24608412, 686532447, 999637558, 535136506, 993932355, 359863206, 401562335, 97354001, 70127689, 925344515, 375449756, 562958155, 809119620, 523652620, 10601431, 511037241, 98279126, 382927356, 455525071, 521840141, 129699738, 712794374, 324162837, 344209813, 18426786, 37272926, 466814875, 412962603, 62989020, 67339265, 153653277, 833448077, 599661078, 695243029, 399875064, 216277408, 469054495, 230969145, 721162904, 1632023, 302055744, 127735354, 830739298, 323052937, 767936878, 828396673, 606731519, 156032932, 76729851, 529794149, 775862821, 496585677, 108762847, 430433844, 928825752, 119897268, 196459274, 729353908, 948014486, 912632056, 891045239, 417340153, 375219130, 364654577, 834522376, 907579761, 842191780, 237192210, 769837047, 748044303, 766608343, 433715069, 996314049, 251544301, 988673609, 202076849, 837304172, 408329160, 224665171, 86370235, 687246211, 562362123, 284717347, 658176759, 435712690, 548271244, 723236726, 844916274, 397040420, 736281957, 882649858, 69838106, 257853912, 26449098, 875521300, 78911375, 212888899, 860058849, 684994309, 912519492, 698141324, 699511065, 663688739, 638699032, 644088894, 561144309, 538883126, 444637533, 573678613, 780745947, 561714860, 386280551, 654718379, 848767583, 658585617, 909966016, 570635179, 674765762, 922629753, 653746470, 768942574, 588097820, 620924827, 756988819, 316604572, 448318074, 329043964, 967887450, 901264944, 964092753, 478918993, 572251209, 841787440, 518649722, 466232644, 577900293, 53287648, 327789205, 712512244, 866694218, 34906200, 127173555, 650256332, 628850204, 711503396, 159349969, 211399306, 984577743, 960206552, 542659546, 714748279, 612596517, 810006895, 212746894, 259052267, 40123914, 242185201, 339001309, 222369090, 834656066, 583003782, 585006072, 136588829, 46750646, 127640092, 215998045, 154363517, 862652611, 717993634, 358042110, 658545108, 705763907, 96293871, 303464049, 74077771, 706438795, 842172990, 467188500, 255279388, 230027553, 166330715, 874737558, 934948426, 600382171, 329320114, 783823181, 809446958, 213856580, 46425793, 630285539, 979916109, 158248514, 977329075, 937703705, 695222667, 916842092, 278288211, 106921477, 337161531, 211114768, 690118794, 422319317, 481001106, 790498656, 116198171, 226095580, 718998131, 344260487, 505281505, 711404659, 192081921, 875992270, 163162754, 853402514, 895954564, 267026867, 680028050, 283566021, 862055172, 267708724, 944188127, 153847435, 428940182, 226849216, 164519634, 657038017, 295906429, 675006941, 797319203, 585728514, 249265901, 981698857, 682959936, 157553022, 33448524, 233862289, 555417076, 248255717, 409689794, 640730346, 563725998, 509490886, 634342765, 715622188, 295793632, 507569267, 878718442, 915106893, 777646124, 259927599, 214175861, 108409662, 534996264, 934230592, 321512747, 264541297, 143601708, 427620548, 849091917, 654014744, 883879304, 125879069, 531816815, 199888696, 621927786, 534419185, 769659899, 506219293, 681892880, 508429200, 444921379, 27655085, 355821095, 18443445, 664336474, 269653739, 998576801, 706100131, 317406953, 993081647, 98186393, 301136272, 330229587, 690805002, 373484147, 709585198, 25071891, 611274099, 401039619, 731155963, 501833731, 881241491, 569113281, 644964605, 914500991, 660176555, 868513974, 533480233, 928178084, 469908490, 760695401, 996692376, 875316291, 137806082, 394487762, 238350401, 303875954, 392351625, 664332381, 223470415, 212683354, 94207701, 311732941, 898328600, 217607037, 275711302, 540430686, 541215032, 428258966, 931571524, 169143644, 260980594, 943158186, 36436097, 120522238, 576571200, 230244450, 977600690, 245945106, 408987293, 50849287, 628882463, 561710948, 128119738, 764016086, 295988697, 923683925, 723441488, 810206014, 243099984, 294925377, 260394529, 256007138, 429523957, 45164716, 831581603, 811116764, 767905686, 272842009, 583770718, 376688831, 176847554, 921567955, 992850863, 607157447, 301527057, 843740211, 459574927, 451719134, 477465206, 584258544, 223671821, 164569055, 394574241, 953715739, 40840227, 510136511, 351822209, 650709998, 567513660, 881630854, 66958846, 580568440, 351643460, 2099925, 648438021, 48322692, 788162427, 310043681, 334245154, 219534041, 734981263, 523700396, 76075684, 429370726, 404808006, 954816440, 15731953, 839329545, 941469543, 112732353, 960092836, 44191065, 489039790, 489986909, 673696658, 361112995, 83847255, 364733466, 894151709, 597770862, 222124532, 281981457, 802159731, 906958894, 433381510, 711308859, 845243298, 39953120, 763736837, 318989595, 676867411, 815311150, 716495258, 606506464, 950103600, 171050626, 145110590, 456709425, 441232135, 904219448, 68752491, 213781355, 471956578, 607797669, 776335771, 957152920, 590817187, 167986493, 513498403, 41728980, 213389439, 726850715, 410522034, 443920041, 920936789, 129744258, 948288781, 261396922, 635887681, 348907669, 336285731, 409907623, 345474550, 3328200, 647466856, 3405175, 774581220, 534281775, 228316053, 4277200, 548194845, 257996715, 633301746, 317558208, 937726815, 967125705, 371533327, 793322228, 660127797, 395676001, 115139502, 34121656, 125196206, 963593604, 899521848, 121349475, 627798519, 828233481, 922783698, 253614824, 1399298, 211589680, 672379005, 389427320, 546329663, 325368348, 71930994, 689837699, 78081434, 697573654, 98687642, 613299491, 80765, 898989444, 785096225, 481496534, 77023232, 732831625, 759755941, 477196835, 877380048, 635608718, 862857266, 941568303, 808149499, 647295484, 402059303, 812582093, 625739890, 188503984, 938150679, 872550892, 676283364, 759479791, 926559881, 339858017, 684651326, 159207433, 275938050, 480643844, 247774189, 668777575, 975223347, 635884255, 105273987, 835898508, 93187971, 655379640, 558513782, 886270197, 539758705, 852007039, 260911558, 230352600, 565961989, 446564535, 7084830, 654888808, 300162985, 690374724, 3280115, 572680241, 277300791, 573874920, 738328538, 602700555, 568152660, 316479593, 502250378, 192109818, 443693427, 350247134, 886552074, 376574603, 173126423, 394505777, 826584361, 153144424, 264776787, 621476235, 512454377, 3738976, 796436970, 118206086, 645377536, 999918455, 459693886, 528716796, 604645404, 203296476, 993094576, 133124985, 726783690, 415528556, 595507650, 966559974, 389304098, 819316573, 362451410, 818716739, 681326665, 462236656, 911893248, 160490517, 292987790, 623216348, 691524985, 21282196, 235700793, 728332948, 35574266, 618965399, 361770139, 232263810, 875044449, 37239105, 130338016, 742368068, 679587176, 930161847, 523959443, 768337693, 708865905, 249054073, 921472587, 272700100, 871895963, 762862963, 110941213, 298250714, 341775298, 651521343, 210532584, 588576505, 314370522, 970077230, 500793136, 792331347, 248382699, 550666258, 923304774, 716874477, 334882335, 505598672, 771838256, 76710630, 359140795, 238443165, 997277970, 495625016, 558969856, 780675354, 914326854, 837936789, 304522113, 459364168, 698059202, 379209966, 565189139, 125977475, 137881655, 252726569, 458614942, 378076602, 538776931, 735037545, 342830234, 123312590, 777895380, 118497027, 195743061, 831039823, 702993485, 455540683, 401151396, 313721505, 433112671, 304928121, 718632749, 848310209, 965677393, 900456869, 369774775, 60678706, 538326045, 271443035, 226437671, 795103013, 233632074, 972448850, 633088865, 889329193, 82316274, 445336957, 563612400, 6125396, 703265543, 281175531, 349980359, 189096690, 844968034, 856910016, 794241778, 29484886, 143158321, 501075354, 7593763, 637741162, 127639540, 33479831, 924942728, 575132802, 457321009, 997531224, 818682401, 364469911, 242777803, 529874430, 196858582, 510807603, 902833081, 952209372, 693003218, 675577097, 906770537, 287775036, 100080705, 409976650, 436012202, 262427339, 330448916, 908381761, 371841564, 2993233, 904530352, 631976794, 648679439, 113099499, 134989150, 499182890, 518418177, 617313033, 684211293, 243540669, 31061982, 453998280, 146309182, 335487050, 2435793, 74808891, 459797696, 575280952, 8431804, 238028934, 689970467, 332412037, 126413059, 246384521, 465021681, 238149443, 63334026, 412946045, 774184314, 706034535, 506044032, 71510490, 414319573, 57686554, 149576807, 985627493, 994231763, 246527305, 470812988, 421850623, 372112556, 196514504, 998276032, 689628312, 85107620, 959040471, 707317447, 36066606, 962470937, 96108377, 280797382, 989074134, 481814049, 38881716, 866572730, 246604663, 683112771, 94794718, 912630219, 622981719, 64030758, 755678918, 626759532, 984531147, 148484154, 607461880, 582093347, 915258144, 463617203, 620033451, 144763228, 517164274, 597997610, 286002728, 131194508, 806020914, 134977511, 331594722, 234530879, 685140102, 599581550, 13921044, 786099302, 939115889, 713845223, 615439314, 3056149, 524743327, 308006006, 79585517, 756251991, 488681577, 520432809, 742501695, 840603525, 607457126, 9032869, 736181676, 576372310, 430834993, 511055207, 890082076, 538322835, 641968612, 157906813, 59785723, 618597577, 314499223, 276903565, 960190646, 187770211, 28830928, 296188716, 870328814, 699189064, 18529220, 77135781, 539387204, 293293081, 2875092, 776142305, 973250512, 404912103, 323232984, 912343031, 824860048, 898073763, 53422853, 162973704, 604976211, 98516591, 466546908, 279903736, 796349595, 21298746, 800488063, 667929277, 180840061, 64362928, 239592858, 805329116, 283860344, 261185299, 903495407, 992625764, 845922289, 277733255, 365162077, 493042932, 625476587, 401777150, 519159229, 951960319, 315089823, 781842776, 835292561, 159572455, 539149920, 639245933, 630777700, 463612003, 63938110, 878786456, 428806237, 86905547, 451933259, 429984010, 702450340, 206838074, 799273837, 866397174, 718791201, 4915113, 766460382, 909762215, 517302875, 330628979, 270416584, 478453085, 921684272, 818532182, 479583298, 549919042, 699672828, 232205802, 408378424, 67831850, 881224621, 777306304, 927162801, 149829690, 145503039, 407025343, 878488463, 855403693, 765747957, 46150642, 197488955, 288739236, 731409886, 692096972, 89204612, 769719261, 991719914, 25749662, 217857567, 416524186, 175795123, 242853201, 506897447, 600329853, 366103718, 17014783, 186816695, 472198647, 425157877, 519261838, 215527010, 764403876, 685628150, 338518515, 706276134, 735569729, 325749341, 623606790, 970033856, 382555381, 848831845, 184326136, 690021367, 885321738, 364886568, 284670940, 800698591, 640430016, 566938260, 764390867, 816248013, 40968170, 246072912, 619745477, 223854093, 290632013, 809211290, 411699931, 263295209, 488329079, 917850834, 485923725, 945872920, 591837066, 22547031, 691463762, 256441290, 44656969, 566962176, 337721091, 693439058, 588412704, 287860921, 776057357, 240827689, 685597643, 457719875, 476093981, 815397454, 295233221, 941408753, 240009493, 450604370, 796671468, 794808899, 158026604, 334191051, 513834291, 424271963, 146311528, 545741302, 579162521, 376536502, 585551551, 678935125, 490608095, 466077767, 927550697, 997431098, 615221715, 807344459, 58361137, 593373778, 154032980, 601241283, 120972216, 189661983, 63858069, 656570511, 917651634, 109291252, 543855481, 357884059, 536396091, 243687589, 747029967, 492063370, 280079132, 538429140, 365892863, 14403812, 226316938, 846408075, 487067058, 105598577, 543216064, 845163479, 514352744, 137448745, 560262548, 382979051, 645103558, 104245062, 525821603, 743374528, 792542945, 447852133, 966836286, 406391512, 882877381, 989219603, 299895144, 787063983, 850905583, 654137485, 760733999, 560554464, 615637094, 412491017, 179063782, 544590607, 915660732, 763524090, 999511179, 664697336, 477086527, 402446789, 177786045, 787940835, 389223953, 132206251, 871396326, 377037303, 618218881, 668234500, 439475724, 438332976, 415447526, 981069919, 24402087, 269909356, 215680609, 894901367, 633243881, 407204689, 364008807, 430491776, 346962438, 75124771, 811001002, 265377858, 20940786, 763066637, 423198392, 887426825, 211589123, 426048370, 979151899, 419113581, 69206632, 26173175, 745923897, 546978520, 427885185, 833800397, 332392546, 79881653, 963306976, 938370157, 899455254, 666681265, 315916808, 717239328, 795670567, 784581478, 251627912, 149485371, 31910059, 252154834, 61676837, 296634727, 511375217, 85558601, 335849395, 441885368, 453651735, 561888434, 625187030, 86168157, 843627210, 102541378, 740367093, 828862430, 932250448, 239495599, 278312818, 893435643, 362363171, 353308789, 465565002, 408404815, 508116653, 506344231, 284097463, 500777521, 523045343, 895428988, 216749801, 634097340, 728013421, 351822484, 375488245, 788791444, 94911838, 19902915, 242703957, 644819820, 566185958, 61047058, 822992889, 9136737, 534436174, 987325993, 988916051, 313549544, 830558297, 508304174, 868124120, 213487446, 222226422, 667952758, 95883881, 351753730, 94835942, 838458382, 659310101, 137219962, 955250478, 9576734, 299388096, 812943497, 692054546, 78165867, 626122957, 20688893, 537174623, 899935250, 349463895, 145504564, 395743026, 865947393, 709806632, 618940221, 819348618, 356330626, 122915690, 749159412, 320945124, 702387107, 762060274, 219797378, 407377716, 295281312, 984470369, 307238025, 277690646, 144224830, 186113345, 675771532, 835698419, 894508084, 789177391, 485280408, 752623614, 446750101, 42860691, 635911469, 115547760, 796986032, 516459729, 327599453, 641144935, 75492418, 273964807, 698339921, 733487540, 912635855, 727972703, 462358715, 161547640, 520896244, 8418238, 378686640, 356752525, 442147857, 968105711, 246264628, 212321836, 40891109, 403411945, 457884666, 592782564, 268199217, 861347332, 223498206, 284397032, 514685424, 246007011, 436464434, 972781063, 252140190, 425642602, 956583234, 376387467, 724827368, 865111695, 115384420, 167913621, 364600870, 346361317, 712931738, 216285265, 511613, 268553346, 964878058, 722478395, 120683360, 821399004, 244943549, 352161526, 766263121, 148169791, 773880182, 410956167, 773944690, 918279606, 963164468, 439351651, 684455348, 460140208, 582049229, 74760309, 852674465, 573105431, 245886563, 934524039, 613694327, 733890786, 36787384, 408613227, 408349855, 157011727, 58721458, 774747498, 751474232, 64646363, 634052576, 635686915, 36483430, 888049810, 157879795, 218327633, 658331081, 166632761, 716064956, 904434217, 621227225, 900974141, 367396236, 530553486, 447818712, 866808420, 166869100, 695022309, 512145020, 52352069, 581129903, 299432397, 65363292, 504599574, 331842634, 997387629, 420895985, 621333871, 661022172, 240947838, 583595693, 656842493, 672790934, 989893484, 832444634, 86038748, 412277577, 929755265, 330468340, 276765025, 835010400, 87334612, 225918093, 591371137, 941442634, 457386019, 413025727, 984554457, 480521965, 576126120, 863101757, 270117858, 293320930, 218204946, 319425860, 973113332, 930024697, 18565143, 468725365, 102742868, 236576857, 907911596, 923496842, 200724543, 18630475, 158751099, 436347374, 131375975, 665812896, 751540660, 452542433, 629511012, 899320906, 559986185, 930813292, 992182, 342758609, 952885314, 494407464, 434186396, 46859264, 399569829, 31319588, 970662516, 162038533, 566788228, 143956926, 686269392, 507526985, 649926691, 794230107, 905590608, 79314254, 478847844, 147374876, 594044089, 313420940, 490375907, 122625810, 687586557, 217483090, 191989653, 97872295, 993387293, 303538947, 497629708, 758366284, 246255223, 689114182, 808533983, 543798758, 533995896, 546496962, 804674711, 936742701, 319804962, 956743692, 708620183, 399561292, 390994660, 268280849, 614396211, 765387437, 410192669, 376602510, 100606307, 752372472, 619328085, 153601265, 417606157, 469480691, 530031075, 673636403, 998765304, 715189483, 519167963, 3959054, 241703719, 15289739, 827428805, 545530883, 586310643, 880883353, 917076185, 514729777, 271448640, 491875933, 907160251, 524230719, 24631461, 59744862, 927446042, 351475903, 57012369, 191962211, 630174134, 440514130, 10942444, 28573082, 974508531, 448555948, 781459024, 786850159, 974295193, 89281692, 804327188, 106169885, 2697786, 60489891, 476297934, 344960206, 783200836, 970093073, 347171713, 583800522, 369670550, 730792331, 35730712, 843893941, 363162406, 70036414, 413064180, 617484722, 689677497, 418542287, 324158230, 262750494, 203765504, 62407311, 285407525, 70653120, 153084069, 240920515, 305254279, 361516058, 308431672, 84960603, 503022600, 874828308, 686073915, 716067632, 103529715, 321966232, 203181187, 541851541, 38136604, 916292602, 996240183, 660950382, 851658258, 173059937, 453659384, 565339848, 502369250, 489999513, 125907048, 961823567, 741525394, 629442362, 545794190, 928158202, 332478674, 290595052, 135585210, 324432901, 418975250, 163834915, 604191012, 268515786, 120361356, 46361996, 382878605, 394530649, 286153823, 225686185, 6974515, 411631386, 710190757, 234634553, 3578674, 113568739, 328502827, 362688750, 900530138, 265503995, 947157843, 617491137, 411319299, 365158191, 720536020, 157328043, 762946233, 71168746, 251917234, 112753155, 885442518, 857209561, 159290153, 645987770, 119205545, 834746252, 454781612, 541976282, 45198622, 278640465, 532790019, 286536169, 715626008, 956160150, 133082629, 342350966, 328424009, 724660319, 540738107, 75511546, 426434919, 4616282, 726216691, 623508685, 284641868, 582866436, 104807735, 276026323, 307271523, 553573411, 916523250, 399400399, 523383765, 120920849, 204765808, 302865388, 412321297, 808022098, 69912337, 970179132, 368545782, 98298089, 417497207, 89943269, 460948487, 335980559, 395470028, 857443593, 829828413, 522656466, 768757787, 296678285, 228236779, 441407772, 840414215, 769788583, 85295889, 214091876, 806186517, 241792405, 666443908, 881804590, 558974847, 51576902, 486985445, 86815410, 244821965, 599593373, 896629548, 204175843, 684326175, 609269841, 547626372, 602328326, 298492867, 400308438, 968740924, 457264357, 597461301, 450217442, 494156373, 615903533, 860141396, 432952491, 823561012, 17599375, 529927993, 719407207, 157038180, 105510245, 596122492, 715828559, 7155489, 649290198, 659446127, 945905639, 59341927, 659441768, 990820565, 273214932, 893562181, 476361487, 432880931, 732201014, 828738194, 190046645, 941418874, 731374869, 730775339, 484332142, 832595926, 224570913, 34461462, 160579035, 165490529, 425419801, 614096317, 993943129, 960238103, 39180413, 293244647, 54701670, 565405201, 319081755, 614401163, 110777614, 904907761, 155926133, 317261056, 614553702, 905937360, 18066981, 129708316, 178817062, 442933505, 37702290, 178828850, 479718548, 978836256, 420690651, 286595784, 178239280, 493958858, 223246166, 956710315, 998725887, 760713897, 762106772, 638321828, 787899946, 715059928, 338102667, 885658541, 172186755, 88281667, 397900362, 785107603, 888656691, 178971269, 797647901, 598169661, 422353018, 892452616, 588650956, 489052678, 192819298, 128049616, 166079681, 648913553, 735067695, 590489744, 265229143, 120986062, 654753653, 267222090, 93893913, 118043496, 806898245, 138594108, 231705537, 147104406, 878613595, 279991448, 15979722, 951042955, 763587463, 223458716, 416861665, 385296255, 325966280, 501115401, 243663354, 571383941, 141333035, 517209393, 246902567, 272142243, 416737282, 677859396, 385276061, 502026414, 947230934, 330392617, 994440493, 657589375, 682039898, 777384549, 39762860, 569574787, 915354445, 976584116, 230537066, 739937349, 376880344, 21447352, 84474037, 244815420, 997087581, 24285447, 23972313, 192873259, 471689639, 400378974, 237825169, 422295993, 773075416, 868598673, 980497521, 83446735, 339446729, 629669427, 763795838, 95934695, 524236496, 459539461, 132701079, 617329596, 170203435, 16888373, 773868327, 534536971, 940603742, 566832679, 33608082, 191907427, 568665844, 824980160, 948317253, 805910654, 501043017, 246567532, 111799366, 38166064, 677260144, 124753040, 50769208, 80496696, 988688820, 453749408, 894205422, 911849078, 62631672, 30881226, 387707192, 865405843, 959003492, 172203112, 896554582, 434576101, 625391923, 999789625, 987312988, 487590823, 932994406, 90942628, 512781876, 161482764, 998729653, 112908747, 452596413, 75573698, 725728221, 721284511, 918884487, 656876982, 615991073, 517237676, 623149952, 516357984, 36272997, 735854847, 914746886, 830612906, 290453609, 447026937, 710790226, 508205804, 48219345, 416252909, 86392509, 716339862, 756795048, 505420821, 236642549, 995130094, 788372590, 848470982, 155348778, 173049609, 227723827, 369943676, 998327363, 335222965, 425469664, 24187927, 170760157, 237731854, 430619698, 411550512, 893537295, 910757465, 681811097, 470583597, 818796598, 476676857, 746650750, 127962665, 522733085, 918392927, 13223697, 758943091, 455007899, 894064171, 912629115, 890326090, 996444450, 898065198, 954452038, 552119164, 385538891, 848896559, 32204645, 890934203, 296621719, 62051334, 47849556, 13015273, 534085731, 205784668, 974425181, 555846393, 214321694, 542609013, 226020090, 846463591, 456964047, 142821187, 34046320, 299032502, 480915508, 319772286, 136017242, 599913936, 244246766, 218023623, 342554719, 619573177, 50629433, 159422855, 572606792, 834864001, 320282295, 330425044, 558271653, 143389245, 490790982, 657175307, 42340789, 595111260, 884326903, 431961111, 19759239, 865119527, 953111854, 281197412, 913505433, 613022313, 781473028, 194357795, 420554249, 965268528, 773229342, 875777265, 239362664, 647479736, 853245748, 483733026, 792139242, 478893574, 376956541, 897449982, 679457144, 391272527, 226697435, 376121763, 930214275, 649082365, 214172003, 467730412, 79398863, 419092837, 320159444, 754810913, 990581983, 223885586, 981201128, 785047301, 355565713, 224031241, 93532366, 326458394, 934506470, 780303719, 511083359, 149810365, 42393183, 876086208, 162417542, 540595415, 843269405, 915218166, 672115267, 160731759, 26967764, 386991125, 206582928, 619033238, 540316174, 16747135, 13623373, 217702516, 578956351, 756885180, 389131199, 989434552, 522600153, 355999307, 862294008, 153260306, 631497478, 742815811, 173541087, 964339680, 328517325, 853151521, 117215556, 885421427, 613077597, 861471447, 658422941, 952888205, 465017217, 13031238, 315831081, 478998302, 39591923, 447701607, 456992155, 978772828, 71245935, 950109473, 28351825, 414825364, 794172799, 942923654, 893858705, 544520126, 563836610, 207479418, 647470605, 583463263, 176252467, 829362319, 885646465, 813037643, 183652643, 486138089, 451921474, 697077284, 469176264, 818516753, 304406351, 853601723, 40334749, 664544155, 867547880, 534947431, 51740331, 558401418, 998681903, 596195423, 914418182, 181265358, 758250826, 830947286, 390870438, 814947039, 449572495, 699426888, 955648142, 125380365, 235355681, 330469903, 121480563, 614567717, 150373441, 305037767, 483915721, 851111036, 721810470, 84768170, 918229376, 477735260, 56193570, 444594157, 179198006, 220499731, 729670555, 446814377, 15496699, 160571597, 847091443, 621686844, 926166898, 636903850, 342341192, 869890839, 844722621, 372371039, 780779393, 323801186, 693675185, 790740153, 424742899, 667322117, 954324, 680136069, 851334410, 864192615, 261419536, 92597505, 779537253, 77040446, 192986738, 329720605, 47874727, 846786014, 205909535, 78777682, 190891366, 126650896, 675568969, 222281421, 115428089, 70094546, 81812805, 134758506, 33522266, 830067143, 617381609, 531428042, 456666876, 475950794, 482613776, 574805824, 592719726, 41538801, 50814492, 967950162, 968365358, 666119903, 892559617, 770033452, 979365960, 101316864, 877457777, 421711513, 789826045, 42828020, 251263919, 598206500, 71518387, 86193294, 414984397, 803031, 430365452, 682172307, 881851972, 312385470, 786866851, 239179832, 131354236, 277928169, 555173781, 699663109, 760178674, 789865948, 415597716, 822220954, 293950139, 768079498, 591922973, 383991762, 191165733, 542203387, 781478175, 895378810, 739645640, 863094922, 678684222, 735934099, 783070175, 892556750, 806052217, 345480190, 17260939, 140698505, 367349427, 707570644, 854903429, 205443267, 3800546, 683833089, 755039609, 581986694, 697016415, 117333626, 140952062, 906753170, 839656234, 628716135, 820528426, 625897942, 958616928, 563491627, 525091167, 331485149, 767914534, 728237044, 501787216, 179007234, 953897356, 848175321, 315972744, 698383331, 409235940, 467617229, 486880384, 488372836, 107519838, 820259743, 980991655, 921858541, 3355930, 256453518, 331282408, 663235232, 447734667, 257288078, 814525306, 608728185, 257439617, 213167057, 722827567, 914304286, 51870360, 611559863, 757387463, 198469085, 286372171, 669597175, 51808749, 553557117, 268378746, 353264257, 544455330, 463031182, 222897279, 420459894, 331588766, 713367050, 211377521, 524354690, 150339011, 484705649, 520126105, 87700232, 553770513, 98339831, 226786543, 611737015, 765737867, 659307432, 496054385, 614272064, 737079603, 41997072, 578138159, 554254859, 700070286, 944841125, 480484611, 508862640, 411480599, 894449870, 499518892, 592894032, 475310646, 485441524, 222277166, 481847176, 182363071, 718213929, 282050970, 460475408, 76896508, 685903685, 294396921, 288195784, 168869636, 896537932, 443927812, 595563800, 729077505, 545159501, 89447973, 273004471, 82223820, 466191495, 756254584, 106114025, 165009169, 816216704, 396879782, 518323930, 752647759, 430964911, 861306877, 717733267, 260979827, 887208241, 965418211, 273341289, 91940406, 880142021, 580326054, 399105772, 856717173, 78476775, 639096339, 253847213, 564547787, 606482627, 554978998, 806927270, 78012564, 628192802, 995050154, 352740278, 232910319, 450039834, 258833797, 238812131, 756676114, 120896019, 375091824, 227569594, 435715958, 73305994, 178417433, 711577306, 256768938, 45881077, 896445924, 757014885, 189917480, 173517422, 534836580, 722143138, 213932602, 917377514, 452988714, 425066907, 54925471, 610107482, 160620157, 309769992, 6007174, 901850002, 522539751, 898584768, 109668331, 962717265, 59749884, 895278769, 392214872, 166943758, 904147121, 40831663, 177414658, 711621384, 334197402, 195284460, 901593138, 58146163, 28391912, 699682805, 821709029, 635421360, 927795092, 280475275, 712837568, 244542667, 183048282, 666072032, 335751366, 793109545, 120895967, 192036212, 264664952, 134555234, 51274419, 961102349, 710247695, 602828549, 259112858, 286949172, 888529162, 852840545, 627008798, 45485364, 770582573, 292000940, 32377715, 233041037, 833396416, 437765362, 105158076, 657687372, 882221006, 474552806, 938445095, 926459550, 935541830, 14063994, 235852777, 354180162, 511941292, 8264341, 902337101, 782643553, 422878674, 343665052, 36881942, 423170827, 887659796, 43377451, 495102736, 911365290, 586302321, 504815255, 716812933, 638230789, 216247245, 562246178, 124100932, 84536200, 16090442, 192651060, 526228843, 898966274, 912511610, 225554667, 92784977, 104448762, 500391502, 689105849, 811367599, 525027401, 334788993, 431694710, 578379324, 743068473, 960327678, 399343350, 269582615, 695819457, 456156857, 808565249, 381304486, 999491855, 913822013, 618751148, 355199682, 804012223, 446439148, 427999808, 557519523, 732673464, 31002668, 377494499, 803143870, 752274943, 835553376, 133796857, 501490563, 367788472, 549626383, 698292526, 616671020, 57331371, 866522775, 252688664, 73079821, 598010598, 935039559, 973635626, 167334978, 205390148, 416893582, 381448901, 909477861, 514781976, 926213018, 793030261, 471849287, 829274734, 6830426, 670718671, 369155178, 519021448, 15181537, 968602958, 520593986, 791350973, 653767936, 389458775, 896075347, 949701433, 408501057, 188688550, 208391063, 998943231, 370363469, 654088759, 186473784, 731593873, 957150765, 62249602, 205478239, 643762449, 287400187, 75225367, 694661878, 769926121, 7931011, 496161682, 536275344, 766515420, 985302108, 925308582, 297991551, 986945914, 580689860, 764330714, 805441069, 485877674, 170393735, 524319680, 906018676, 318661376, 946838366, 752224903, 989435563, 289371532, 398898489, 870838356, 87599701, 163844294, 758756318, 771892077, 39184761, 930507079, 836250308, 781412781, 414155517, 879479718, 52963062, 188592211, 841390817, 261433561, 612250197, 449607289, 378593611, 503704137, 714773805, 856742951, 38076769, 549568523, 24433136, 549513333, 841764937, 657960238, 135708313, 60137125, 450270140, 788012071, 560930972, 787004400, 880670414, 811020794, 274819659, 235177316, 257557555, 710160367, 386607253, 372805402, 497050060, 59798280, 808019769, 617749308, 829203192, 959210582, 776701271, 551561858, 183914007, 79861006, 716134964, 299728215, 949515576, 736442578, 567955620, 355718206, 324276721, 509862630, 414907090, 667693536, 750492336, 605139641, 930738673, 225066005, 832061703, 68670658, 483072647, 274656799, 110861781, 483483931, 423520352, 525306175, 3617466, 323515564, 14898873, 901815199, 965461156, 790216007, 301406644, 293138495, 759445817, 842555899, 256301951, 135629952, 540861235, 9901891, 638382103, 31319034, 456244327, 814282659, 649904568, 174248138, 445330339, 6606823, 424421073, 943529020, 986785176, 880094610, 266075594, 8685663, 38632818, 963156620, 112390969, 196520930, 705024554, 137654076, 122707870, 815128681, 950241017, 23617798, 801366869, 187019213, 924339888, 106562069, 301364014, 691695039, 292145803, 467870822, 550842201, 646532946, 560186847, 888514575, 215736251, 227563114, 747639433, 592782235, 610882913, 632598727, 283225389, 86351023, 437344032, 558977185, 935972160, 283235629, 793173456, 605138365, 878880702, 537664145, 770341481, 47733832, 682513920, 949021620, 66191829, 214713533, 893991132, 978241244, 701798995, 83987517, 961280541, 868186841, 177920193, 555929191, 779330927, 450062780, 232686049, 596959742, 79208002, 14757535, 462751744, 960906784, 438755040, 240781538, 655699225, 176469005, 941665601, 222757718, 587695592, 430393768, 62848155, 215192495, 174214894, 207129154, 495795751, 432116904, 842949006, 360701245, 130637653, 300484745, 382951966, 800862996, 252452096, 146433287, 163414401, 326210832, 545509255, 716446486, 645468215, 57889849, 444784573, 361621120, 684974344, 945413745, 177031223, 776695156, 924972214, 409158561, 24596275, 684862967, 895156343, 362401327, 706524705, 548806544, 427263869, 458834863, 871612741, 583683405, 177495027, 945029074, 94913250, 51895268, 607216377, 959821807, 985765135, 382848887, 522980366, 655355040, 771717856, 627965810, 256700099, 16537888, 530374178, 470735867, 623020084, 53902856, 568950030, 398878341, 283682962, 891149041, 836479770, 390664394, 714133670, 487606900, 172226739, 349215055, 875165812, 512439406, 608784943, 970522459, 554892661, 45166492, 314307751, 439942392, 423791580, 940666800, 126516949, 888694196, 741991969, 466762370, 393584109, 225734211, 81527881, 884951817, 979328692, 676159225, 786518724, 260352957, 476180116, 575444356, 514335255, 959222258, 312011651, 847670416, 422024528, 711175261, 411112581, 159915105, 580916138, 744781020, 630226595, 139402129, 122828063, 798060094, 90781603, 991260760, 408082714, 619716260, 626513240, 374912004, 639943932, 610164857, 864491768, 477734490, 227029163, 131114935, 691150575, 535142511, 992121613, 609293729, 201673921, 524436968, 907309183, 268353439, 177228182, 21794512, 190731973, 810894784, 992769272, 739036579, 389534337, 967511704, 763372910, 935012352, 64128538, 48190377, 867018058, 996380042, 420780598, 929753161, 68986622, 845206981, 394444638, 211765547, 79131930, 932777596, 478675414, 759426025, 884733619, 747276503, 426912120, 516069620, 78830699, 646480874, 24672688, 184643608, 481124433, 269694463, 32077626, 907644484, 390252575, 262091312, 73937905, 46525203, 95454906, 535705793, 662143412, 881377268, 982662398, 675891294, 710102324, 421115228, 337611961, 666348812, 658782370, 989757007, 661061898, 963598978, 992380849, 483437648, 499147303, 513117342, 264064067, 100528606, 12222382, 132403761, 439280442, 742802954, 61777822, 622855461, 372584426, 147727116, 45830519, 980801443, 526910810, 674897126, 855862864, 202744168, 10493031, 117682876, 686249241, 7079169, 853496237, 912038580, 447630545, 103524112, 692267867, 152968562, 543830855, 181050977, 211757142, 774311994, 113817448, 315902384, 940443387, 783835584, 645350335, 125547747, 747052773, 142993010, 673033657, 844437958, 787409594, 48378546, 910808092, 630134744, 113218300, 667710251, 996509871, 198532695, 445856547, 875973782, 42306348, 791012231, 404889352, 356668561, 49851057, 592958454, 676537236, 178756817, 312622085, 829348988, 603168866, 654877090, 18425729, 826747737, 754265353, 951185364, 706318471, 102788002, 343502696, 398938350, 413394823, 750310469, 45343657, 401449639, 618729621, 62351445, 844313505, 395397964, 963648077, 651995323, 838212355, 850847780, 999071869, 871989294, 572992765, 261470632, 632797985, 716621396, 744901322, 535930132, 201620911, 101951774, 702903213, 522918587, 702823119, 973911205, 634509294, 798231993, 133293751, 809566081, 157704814, 544498301, 333373231, 92723622, 779596356, 937707353, 880866598, 233728921, 562694570, 810057287, 113083873, 164088099, 143264421, 339290781, 589770107, 861136339, 758030776, 409520632, 871102261, 247847069, 573305941, 321883511, 315100525, 876785258, 740717397, 62002586, 178261364, 361744169, 167072334, 108847058, 358148752, 270768595, 808184931, 938512609, 843759802, 449236291, 919289971, 795370337, 417679458, 197715162, 138241360, 101933235, 984052744, 719363270, 792909809, 165780290, 886077458, 486436465, 876546243, 924956403, 394761858, 851249682, 807090575, 973521072, 11174078, 328566182, 403828733, 432932288, 431710249, 884496443, 546693001, 542358792, 224275405, 588680978, 90464244, 85287478, 71991940, 80222350, 561055237, 506543667, 375246969, 101343817, 183578744, 621734530, 288335469, 716668481, 38057259, 129784541, 951631837, 997143879, 959061123, 796051847, 349673827, 519850893, 487255013, 812018827, 250027359, 748273919, 145868348, 311430422, 37965045, 319918407, 183170340, 646916464, 459226382, 656807501, 915620393, 225465700, 630787960, 440004231, 786806684, 705030301, 197806032, 70788076, 457579912, 799280078, 330846114, 638035010, 924660472, 541776518, 257961657, 750123548, 129833402, 469180741, 750339922, 758653678, 257063404, 558443537, 496983318, 767625441, 432991580, 474236944, 150240799, 198718103, 197817385, 849529177, 397143458, 16882738, 197880370, 823543591, 89403997, 953685112, 601388905, 601182098, 659537392, 535396075, 751685999, 335583693, 197315686, 472399654, 571059657, 206323517, 206374223, 24002176, 753774507, 443822538, 882418544, 258135869, 328173194, 571707488, 685650102, 251646705, 652822036, 576206939, 661922189, 904725256, 292043343, 204291128, 976670096, 842340157, 291200222, 425677498, 517660168, 165986789, 587451396, 245600941, 635857758, 752784930, 744893399, 351273336, 296056002, 904292182, 462569412, 987074589, 73683088, 767818219, 893690658, 606969296, 503490423, 842389148, 426933629, 67110827, 85649744, 199203408, 304017697, 10237790, 976233517, 42315581, 776902407, 770922679, 173572947, 585320719, 72444716, 505389556, 488264740, 926372382, 407754262, 388065142, 157527537, 558833258, 212612289, 691424655, 9685933, 52158997, 633535740, 938767558, 667478627, 184645243, 879040778, 630151381, 928552979, 932056479, 420309219, 859747306, 318244352, 186259527, 296881442, 851718548, 647936877, 193348484, 459219850, 228153444, 966312639, 497165300, 896644231, 311823762, 963546765, 143186218, 992846370, 378428503, 421881945, 174172642, 628890499, 793055267, 312849373, 708865812, 391435264, 917729439, 749970452, 481945070, 591073126, 775686251, 418763299, 765436259, 136951135, 547038812, 746455081, 542311913, 520571978, 269289429, 859118737, 140981392, 869786499, 191918239, 255591316, 706147053, 482824952, 124422990, 783745646, 875740214, 953379459, 340585243, 220658798, 102646316, 436587005, 247681674, 48484193, 949686010, 131497075, 332111544, 185253036, 339425941, 728434345, 571827032, 664209333, 884529072, 812848625, 413866365, 586092408, 724535855, 695053701, 32947595, 427492187, 726639656, 239195781, 382674583, 397170187, 317037048, 285394649, 28582444, 154393927, 845943157, 667189694, 505186376, 152001205, 69890279, 700534095, 464122047, 132970103, 464467796, 200686423, 356022417, 687608388, 732185599, 192113935, 640469456, 46307778, 71434413, 456508991, 476217272, 262199818, 258100938, 24606521, 552281656, 667779321, 504120700, 608468467, 197773949, 535176362, 479608772, 882267847, 31488415, 543141118, 173019967, 364683757, 570823918, 225113597, 353992855, 803060273, 963166573, 703190115, 499484075, 268366685, 359268854, 753396714, 52876584, 927348410, 548917903, 392543513, 934116997, 370072870, 870300660, 422155840, 683695309, 424388172, 178019500, 289206458, 76455177, 953413903, 151115141, 348706154, 637376528, 475236070, 515932608, 218807011, 479339192, 253955050, 105195330, 603154913, 183713770, 588944977, 731527770, 670286984, 923559625, 77492802, 785020458, 509231478, 120485872, 182401120, 272232947, 871378281, 217005366, 542808669, 427741951, 360401189, 874219007, 241901547, 23859185, 310819405, 61331253, 656177843, 682584499, 142682598, 895534961, 843970673, 212037472, 693555255, 509046092, 839250486, 654124990, 630406427, 870528465, 806739311, 738511194, 477092368, 647782711, 621360480, 604768237, 274910334, 552344723, 5072231, 499865159, 984109026, 444172667, 676206831, 604301647, 527350123, 430214573, 610482340, 220636515, 550505443, 618958227, 713192165, 510024904, 344994657, 194098951, 700401204, 630887290, 914590490, 591741284, 952721192, 238813291, 314387534, 254911996, 79214472, 650204897, 847889864, 547806038, 456115762, 223821335, 202406119, 560949839, 803053119, 95571707, 399911447, 43842239, 565317566, 622096491, 695089438, 815601030, 595672301, 392268544, 716146722, 470803653, 883834020, 970847560, 701765548, 286157300, 62924619, 748525139, 103577624, 943337595, 73155459, 760843757, 513708679, 705977475, 366623856, 579043914, 200616919, 784209559, 429366696, 320469284, 192143620, 311619636, 799020161, 220053335, 196995147, 717079613, 427586579, 388575636, 208859669, 415268595, 590869920, 328211133, 29818295, 379537630, 427982953, 721932372, 451089583, 944258357, 449670675, 8802472, 462535856, 374221990, 544518804, 614939751, 664155080, 220791023, 646747963, 141730058, 600567676, 548746593, 42006939, 506928919, 388337441, 805528704, 433753194, 394583450, 26629244, 587712934, 563865967, 649227328, 563795660, 286992375, 550530692, 28451011, 901274004, 539503532, 849292216, 808264190, 138679221, 66181290, 671917361, 486995805, 752205886, 392618571, 692021192, 837119478, 860851165, 378477125, 938792542, 862795395, 801355905, 499947997, 224446091, 66286805, 756665739, 126387897, 212884619, 595415220, 576785178, 781865583, 149149915, 496972965, 457513292, 153414755, 858918106, 771554527, 419538573, 308555511, 641992757, 229520170, 619989260, 801167848, 923537064, 62456999, 805429262, 166156920, 2996241, 238660490, 402147108, 817778157, 754301442, 527076474, 830831377, 734932704, 423902497, 896820147, 99592025, 198462893, 846713152, 812178420, 139241356, 604331222, 338794956, 994147529, 617404366, 884982071, 105606778, 318049457, 674176627, 402907225, 472915616, 666916973, 115696169, 121522052, 346201588, 265420476, 241426472, 413971409, 375509601, 734351173, 698251107, 168990865, 530779350, 987373229, 846153091, 181246339, 435735688, 811139917, 954497675, 533565947, 306560157, 883675041, 403591046, 594079703, 447723377, 160233497, 699890327, 481446190, 340177737, 90051617, 104042955, 903427388, 399734068, 950080702, 397002681, 482815551, 735449742, 442518669, 804685851, 222025961, 176726922, 756802312, 53240321, 996490375, 278888697, 461820122, 941150509, 535695007, 184199036, 119026832, 617381930, 195032511, 629269426, 153911428, 810652848, 669186940, 449059710, 565078906, 63503115, 607333641, 65519100, 62520163, 891814964, 685913413, 690853830, 843473121, 227903954, 72685350, 861825444, 614094701, 279767975, 843394998, 649833079, 228462507, 121017706, 119912336, 235917690, 618164566, 67439665, 282252586, 258698732, 802348389, 33030743, 451131762, 257667573, 796526681, 82324688, 821493618, 910025481, 274484513, 783760658, 821157014, 879946706, 427556643, 306153549, 47759392, 129436233, 615242295, 388269609, 510647271, 415237161, 339943817, 714607725, 5403790, 473921077, 334491268, 889077548, 344974702, 659147233, 858948144, 220988141, 249775464, 777565725, 337626174, 574899167, 276312473, 93806878, 91766178, 888726234, 429774383, 884927249, 958938121, 841309991, 139074064, 761865438, 320014750, 289049382, 667619706, 49926729, 375921454, 673654388, 826913537, 559433004, 806631585, 207537306, 941870265, 668193961, 113905888, 511181923, 365504016, 29332193, 179733032, 689968524, 33818359, 732032382, 366769639, 440841737, 590597302, 711029776, 641907359, 400842032, 119609123, 877410219, 366472486, 830246618, 126457080, 102061641, 938917340, 577298030, 990630671, 235857330, 607068700, 523329816, 773185738, 912346756, 852868708, 626880520, 258242438, 339641582, 677501985, 616492245, 975155276, 750076618, 507379511, 727882452, 634604422, 160799383, 553760785, 187170102, 153389875, 172765314, 242365684, 103080367, 960917262, 725618540, 136782716, 306935868, 332251414, 302827560, 4534558, 599731380, 512070813, 498370165, 628168342, 780047487, 857655236, 932633002, 236247944, 375334199, 156553997, 427961739, 948384369, 690781519, 876343048, 740570290, 261355178, 279373818, 726386489, 150264219, 103475017, 605507994, 725013850, 160330044, 990045725, 285002667, 885231440, 273234191, 41226453, 798600253, 176854507, 829642569, 113344172, 828579146, 129645139, 935947574, 389423159, 613816075, 725641575, 646889249, 356863614, 379165206, 964162487, 772991295, 102696809, 83348596, 241606638, 210388072, 829761545, 436132480, 216201543, 388347211, 297034652, 386171361, 70350523, 777688829, 607571964, 693073127, 85965889, 999706772, 175782562, 359112370, 229532332, 735872523, 784025234, 967205006, 844390165, 426559001, 671283170, 12556703, 971898846, 261302708, 662132944, 465308733, 970721821, 880284676, 177954132, 955699292, 397936773, 692351474, 844663115, 662969474, 485324703, 708373230, 152037471, 417568351, 311562436, 418736167, 646330711, 624931158, 174508782, 751386573, 992294204, 32952294, 476510762, 631071515, 301909226, 162293674, 447679893, 89187280, 286486730, 743712692, 492707928, 673605204, 631966861, 531999259, 229362730, 129274509, 967869309, 109336746, 426951290, 308759016, 918220516, 886049562, 642630626, 606432014, 981716920, 475748692, 812953939, 440652169, 846148060, 479598670, 137167102, 862420932, 228343608, 905810535, 33945182, 29445612, 988773226, 124888137, 944000876, 908020561, 475646924, 919103029, 153527250, 712325776, 514620425, 56512204, 169752547, 515000856, 337176629, 917358580, 782430354, 506382267, 985688172, 266225068, 135274447, 474138818, 318635774, 527702092, 753878886, 497118316, 790981254, 856316321, 715127204, 243401468, 439797950, 774130813, 58807987, 445075727, 253345427, 962833228, 788947732, 859866028, 659618817, 973963885, 941852995, 253924284, 111356119, 506584661, 133781686, 977883746, 609409996, 217337620, 15851274, 838212745, 935170426, 539815132, 571883823, 48322423, 231490064, 402695197, 336135665, 365023505, 893483072, 320104217, 35182744, 37458171, 65053925, 218779454, 607804935, 93952143, 219582073, 873502930, 784989166, 328744560, 6205386, 668962822, 870244124, 908379624, 424809034, 706968776, 711820257, 954809493, 637057553, 879389526, 467574501, 843444928, 575788170, 698363325, 538204942, 938436212, 11976087, 907584229, 905416357, 526113975, 341147043, 469172221, 195494350, 922522072, 515773557, 930190105, 934808202, 927113914, 772530198, 465422090, 279076776, 665643551, 384601289, 434862352, 357607828, 793915336, 574493776, 922723623, 198214099, 246041536, 710748361, 79015603, 49485032, 825069684, 504870388, 567309366, 687355213, 914537538, 142564239, 44249321, 718758238, 892605190, 478721229, 434772407, 379838174, 302902597, 913462671, 433537235, 792380351, 371467913, 857463587, 847013545, 730519600, 409906301, 694948870, 456102678, 370654650, 682494653, 789667529, 837137505, 47739666, 552751410, 569634310, 560626162, 149605477, 973234220, 147296732, 459483329, 735640021, 288530144, 752954645, 364664456, 880109840, 658787517, 159947055, 841126934, 795135335, 24939459, 374747370, 53132679, 919320475, 145105089, 730188285, 281851290, 133658085, 158239624, 395277620, 304814744, 753250845, 184935586, 153256123, 724572479, 290022686, 23078244, 946851486, 469742398, 499880909, 981339354, 327805000, 652554592, 356193727, 859016057, 61840734, 768407729, 561904805, 788865026, 226989488, 388635589, 353446729, 78290734, 73959268, 827087172, 679400782, 697421671, 206161038, 530950509, 111878419, 780343086, 9401845, 876798512, 298197704, 751574568, 312827502, 605792728, 728544474, 452972411, 735067677, 27809658, 908703755, 957416164, 456250770, 870056156, 221394430, 169537189, 138164745, 382800667, 98731449, 863423187, 331122026, 911360499, 378888971, 112087501, 931297153, 73858829, 591682848, 936703850, 571153770, 307632926, 866931411, 675253548, 785654430, 105570264, 601897938, 295342893, 277254187, 253861857, 825936179, 955263670, 863444231, 12571252, 517584217, 922762502, 171163720, 519208521, 934298448, 392893482, 859792948, 791314479, 2324107, 425485280, 573027761, 793180981, 699339825, 197704285, 114064034, 882761520, 525188987, 352258399, 158591921, 228223744, 577727842, 497444636, 799917260, 441665280, 384163823, 616538328, 714985455, 606302457, 257523249, 207376543, 728981296, 866240522, 985477881, 429098309, 350421686, 24010149, 723930411, 320259348, 406539069, 472932965, 382231923, 116812682, 284521223, 291869729, 134697644, 276439368, 898610094, 194470465, 522279580, 388612777, 833342687, 461123050, 713766610, 356357286, 666853884, 146054534, 690711667, 726069790, 163566060, 359279748, 521333801, 987127921, 163516327, 816443479, 611069314, 835224770, 202559099, 13802093, 845225036, 761416117, 519420361, 768359526, 456400279, 871116785, 701482091, 61038050, 440033230, 644995589, 152672101, 527104927, 453373572, 868641804, 159175001, 478346239, 928308397, 726577447, 595954195, 488684548, 499735113, 257036062, 696849821, 841399275, 796094269, 371078262, 200339798, 39035855, 991218947, 286915617, 270073602, 265738012, 944318782, 593490283, 27962583, 138443278, 447633219, 571308086, 983897444, 947307235, 185124736, 694727686, 808734406, 764577151, 171514099, 297681165, 601010684, 374185819, 243756247, 532895680, 628338818, 288692972, 335581945, 547315962, 427685919, 733713837, 79372441, 747567966, 537249669, 819332669, 463162192, 85348741, 133032751, 973678012, 152544867, 896016500, 893948763, 933343979, 725291732, 516201750, 323711994, 4955764, 715569801, 742067799, 905556224, 45075824, 282584140, 65258721, 10821258, 441093980, 92338026, 611171698, 684934465, 471407231, 656313587, 990167632, 748876024, 353382160, 440277781, 964869659, 384660957, 261846480, 763852824, 271197915, 300104924, 644736159, 506999404, 292838219, 961780596, 654345329, 704309011, 520850047, 661086541, 892443638, 515797075, 621833933, 588550793, 54434134, 235229589, 20452239, 843698190, 382595353, 68803072, 302331110, 482059101, 856602208, 912449090, 782836868, 717915070, 876163, 546737205, 969161625, 941089739, 978052532, 788410283, 21637417, 238832062, 799665806, 789692577, 261882831, 808041826, 595679052, 783778842, 452690765, 302590529, 772683109, 272994777, 324617638, 584442710, 178322849, 916503917, 436462436, 880331045, 222286886, 854165314, 902841519, 542848999, 712588454, 687723278, 542254198, 411562833, 241493298, 954062139, 608770946, 506542822, 645763541, 729455441, 627476190, 385977377, 985329603, 128767485, 190689089, 343800938, 963013049, 398551470, 526633738, 993384415, 641341434, 757778102, 25424711, 263562699, 109914044, 547734031, 312181506, 632714500, 244077900, 224954441, 549086300, 42803437, 276505836, 919073149, 427077491, 637392197, 623330204, 82491643, 568625578, 215993018, 93161856, 163660074, 178832488, 124087955, 642078082, 997408906, 384000579, 631662498, 333599272, 23186278, 9146450, 510692715, 568326071, 610055998, 776362615, 438844177, 914729695, 5579212, 155140044, 674993697, 296196648, 162296212, 135585782, 771136084, 905039604, 27250355, 10902330, 57501528, 689240616, 580448567, 183798520, 584155994, 763830496, 918063969, 415436914, 860123327, 4037531, 438019975, 620710857, 517393953, 935310691, 936350458, 652933810, 108166201, 254717021, 838766651, 578110211, 297122264, 161513933, 142068016, 813118274, 175328604, 236880202, 177838176, 838473253, 867641450, 434988297, 178194957, 711345205, 849864501, 376796250, 334502636, 65760746, 192154802, 364665139, 18281603, 440637375, 522543044, 28333790, 119203428, 694252338, 941092310, 598319854, 10745261, 281789358, 603329421, 261353889, 385147876, 660182898, 532904332, 708844732, 331937461, 734907547, 155614260, 26965500, 81416529, 702286142, 53097958, 434314221, 309996497, 403730290, 33611546, 262870855, 739870499, 578971574, 379966093, 929443081, 999303963, 602668536, 787234850, 75306367, 936064135, 977197769, 688496845, 195256983, 477542351, 417079871, 377274369, 577742029, 177404513, 980327634, 583677071, 517056576, 640631518, 708879489, 805535680, 62894695, 595664511, 332571737, 812388404, 779658741, 942064486, 335893628, 167197329, 358479894, 491007543, 612890661, 779679952, 689904636, 253336999, 278620343, 371248251, 789888057, 149049342, 912304668, 631848248, 751602437, 273356057, 563164676, 711330911, 968382210, 201161873, 823282905, 877999884, 355340529, 272037407, 705670101, 753401301, 619249959, 169713387, 354500180, 502261125, 828818069, 127957696, 356290682, 598682980, 289808365, 86836967, 737227251, 489364928, 402516509, 482667885, 27247025, 299364406, 232686476, 353990562, 560169800, 661198913, 485710145, 343717403, 746713295, 908408637, 576013552, 246980795, 558385699, 96650865, 470613989, 848850021, 529660384, 652740924, 882066171, 227805158, 784099461, 725325670, 579542137, 663899280, 19989021, 516443020, 533274478, 679360672, 612206249, 938321270, 779779223, 202830049, 890713030, 466780607, 59045285, 174181504, 417579350, 306813352, 332892802, 996020366, 997409112, 97136920, 919173956, 107404537, 244154386, 878150105, 279007526, 236061846, 906587212, 789798941, 642466144, 149849458, 643110359, 79453605, 32484311, 840717495, 171946073, 913153448, 615861679, 541677868, 955147237, 695453787, 247788629, 654621383, 684095846, 666908694, 863771718, 730329282, 396811286, 732726019, 724198053, 929353732, 850798639, 582666304, 998456410, 841578171, 695631877, 520195833, 490898042, 472610759, 808377280, 375998947, 884012641, 99754886, 451617520, 118229153, 145697836, 397620199, 351293222, 383430910, 848033608, 42648166, 105573834, 986671983, 447479418, 501872849, 545090887, 744467435, 616184657, 558987255, 882315864, 319858016, 705622429, 541828974, 175441691, 424211646, 517736727, 301637700, 103063174, 847424044, 273788175, 905504751, 545919758, 578212973, 549941108, 826902534, 797082592, 99461489, 855480423, 878817983, 306095917, 819900440, 584827789, 724406483, 202536633, 868182991, 299426620, 479363599, 267451955, 513026284, 732436566, 41702584, 397384173, 794933583, 746860671, 772837952, 258059398, 500306772, 972570470, 629604993, 578820131, 849870064, 281734709, 634880960, 807145677, 667604919, 79466003, 188577198, 888052060, 349561531, 382827997, 196624888, 535816530, 638357181, 554926955, 106556471, 222277358, 747327164, 405325440, 22201634, 421677514, 391400292, 619558344, 330555734, 577023864, 64194471, 703650259, 677716371, 131765253, 281669338, 124867831, 414344706, 369038508, 603210693, 165471764, 357685849, 991888913, 511522954, 382258712, 643530117, 27113254, 640665893, 295801566, 382467765, 766234858, 530400395, 165709546, 89532349, 564924291, 6244531, 790752453, 883923231, 496870526, 316651458, 612924929, 788248302, 966351751, 323400513, 911478210, 569092655, 943879308, 422203714, 965523746, 562984424, 64022586, 806190705, 167496758, 641805918, 191764120, 295850998, 375417589, 809207166, 975411321, 375831846, 158385880, 987281039, 550957028, 593983760, 805398028, 39828354, 132308789, 818953620, 246552239, 365293586, 304977690, 844723195, 24991068, 123169971, 512153742, 469442084, 625537010, 243830985, 579082318, 353164745, 305293231, 627043652, 730121496, 442351250, 52870137, 238325162, 762372626, 598122954, 314344798, 159357364, 610825037, 455649989, 199640835, 580817601, 613661415, 754476177, 936752510, 109748067, 653115716, 712255458, 401863929, 640516390, 664852079, 401302699, 254879859, 315908518, 279849270, 112849837, 953629181, 995921890, 220350355, 549745687, 427174515, 907809848, 20919751, 111232368, 276049483, 481628247, 357664604, 586618352, 232879139, 237347783, 567933790, 213482734, 555080147, 473242178, 657828545, 370108160, 269452828, 860964504, 510731579, 643413980, 625358220, 574859101, 363078768, 103512628, 816503444, 599387487, 774433068, 767168299, 920746951, 415520927, 340801084, 820009054, 743778893, 288321944, 741104433, 203429562, 690390373, 357767917, 382025003, 832632768, 832466060, 550533818, 794618693, 607152667, 130682746, 944415824, 473084480, 580884539, 153551990, 566800058, 190993674, 480529763, 619221763, 109524653, 723282101, 22936687, 20462711, 595445807, 883342438, 284958572, 401924811, 414775488, 588064839, 557690363, 65322563, 848430476, 172272590, 615519974, 524496378, 768499263, 345888790, 155648476, 202614185, 566449064, 73984069, 21337723, 225372443, 828662486, 82036917, 715953250, 902452421, 99003514, 207539752, 29686005, 586158854, 398755500, 551822239, 246818291, 413785141, 92594693, 94815105, 703404793, 770710501, 108204816, 321819180, 915025673, 549339806, 447557876, 691203951, 298179857, 267334611, 280167880, 442528720, 734913948, 611020569, 200461785, 57147134, 138272981, 192983449, 61724384, 131418270, 721246983, 166256437, 602942736, 789661974, 856055504, 993889285, 32943987, 38870262, 889783590, 675882966, 186126058, 147392348, 267077975, 162847064, 451272139, 347767396, 674363424, 6561597, 487788186, 863080357, 776253077, 320940847, 406959622, 977166986, 962793811, 761803083, 558621740, 390311319, 665108584, 839874035, 395475552, 982250578, 449222169, 245474248, 888772349, 317351668, 712597707, 391040573, 532191613, 542430254, 108020254, 236575508, 352573974, 412429020, 761860104, 765472973, 31680253, 656728313, 728796173, 431308889, 393938417, 481593201, 87613488, 938855903, 968748621, 919118133, 450291598, 666874298, 305595859, 403915275, 414246186, 407731775, 858108781, 87948805, 724866802, 486734095, 439327007, 480352316, 234598758, 538357265, 602781913, 438408161, 649404278, 693105091, 230529754, 233390615, 954418926, 60657938, 99032537, 380244989, 786706427, 276414103, 641838071, 449884631, 173088613, 822506735, 853710559, 428092076, 347803147, 823991279, 765585931, 323141307, 989116973, 543175492, 34269431, 527565142, 362203788, 775863907, 815000041, 752575968, 150027644, 521604403, 664575867, 153380163, 697285986, 453674017, 230576213, 1181919, 380124291, 175003433, 658105446, 839760262, 303754046, 328263577, 208327180, 968613495, 3519562, 129139485, 629147239, 88805630, 157913059, 293098095, 92022106, 760846725, 668078469, 319045230, 6669585, 743015403, 154683625, 674288556, 348453602, 986828487, 961732412, 367219468, 996543718, 103758602, 304513366, 136051729, 186177115, 163413509, 586537839, 225994947, 599064389, 89439754, 793296950, 692184861, 235611153, 266496256, 224762201, 556601693, 482947678, 947915775, 555939991, 157633548, 765118763, 82831052, 865267165, 546073611, 825221959, 303947129, 733751585, 859320546, 310021265, 49036059, 697259756, 889918958, 386530732, 419010310, 405377320, 921083875, 724093996, 664122095, 440211938, 496103772, 160272802, 383005149, 545216551, 656152483, 341765248, 456592703, 803534566, 558626205, 247698093, 139054892, 222491365, 59943983, 310424314, 892943384, 446931163, 216894848, 408033008, 694313587, 60829767, 452291139, 644544335, 123964878, 29123779, 668630747, 702083790, 595684217, 804488833, 195320448, 643271785, 370416330, 56613113, 73544884, 715752792, 318118026, 718162549, 449997356, 636794699, 931221080, 812527150, 339549486, 931155348, 429196402, 213435547, 267552028, 856183034, 675091611, 303823105, 12310835, 500614708, 573374278, 531426335, 386541988, 152968393, 827257032, 216032747, 869439813, 140966325, 243224305, 939310904, 45251479, 785252086, 882372071, 883417183, 381177940, 688392972, 543638110, 132979153, 786585900, 708763701, 550948086, 624516180, 424267958, 305036542, 817893120, 629894705, 152578382, 982451184, 19082850, 604653613, 357978737, 837021256, 694995689, 480638298, 695433963, 96717917, 749491387, 397508095, 790904007, 969217436, 964081954, 276903491, 459828375, 875153999, 465360195, 841117767, 682834924, 80167580, 791010863, 439412786, 53207135, 584557075, 320961177, 199570703, 417365984, 268137477, 955591191, 843585161, 28755312, 364078606, 341342576, 333972191, 330757611, 495371071, 917804256, 813833033, 571319981, 709023241, 903020404, 815931441, 133898134, 481814853, 286964017, 259281113, 15371922, 17655491, 544707247, 625212523, 343134107, 445448816, 202042404, 953365011, 829658741, 487289511, 454231530, 757080686, 803954153, 240051944, 600189350, 631455473, 545993733, 497602211, 723605378, 306687726, 811251489, 48476437, 972922801, 457106779, 710628144, 709155984, 576162853, 344024790, 816376890, 196429546, 650450533, 790567063, 609123122, 140479732, 487008302, 369417524, 410474233, 11813284, 338146957, 203188630, 88102837, 170677347, 775550018, 464573727, 90153625, 541346175, 396924120, 299508089, 527710787, 791032897, 268564730, 42565954, 426977014, 336755137, 403212182, 685513930, 860705604, 850541170, 346493308, 449478059, 110951442, 136671989, 743900574, 344735236, 732703913, 136341356, 260215485, 998541286, 66049556, 76863135, 621931343, 985266622, 310981433, 252356189, 87419649, 412550387, 827098746, 344850697, 496390241, 369977236, 451804701, 800828418, 146286550, 787903606, 425723941, 574942637, 276837778, 342477284, 54756520, 664519710, 976015346, 482419563, 303072745, 550977753, 904426405, 85264193, 612955089, 407665082, 37748982, 61475960, 920998609, 672794839, 968810138, 792910737, 50548557, 301565461, 906655161, 128234837, 223760348, 230026089, 565798302, 754632310, 537260842, 751777667, 506880979, 600136789, 494985158, 677530979, 721576499, 35405317, 882354364, 422438968, 889433442, 347294828, 271092958, 512493351, 775370194, 78737810, 913395194, 897901175, 304137313, 660334285, 445626175, 809645137, 776420503, 736085824, 912571887, 699437957, 171929029, 671923949, 509305513, 378349236, 651277485, 122346307, 49591519, 674514626, 481954838, 666347680, 504895686, 752117684, 278636413, 769505779, 567601552, 680010508, 631200296, 973446048, 883371933, 885899834, 634569103, 176560710, 221166564, 549093171, 153813284, 364504722, 98760078, 665602446, 194151028, 525242702, 92538385, 381755011, 130991245, 778507278, 124865678, 14272788, 297724620, 304489867, 930758239, 481089049, 154931032, 733649495, 388095642, 239453848, 823842734, 10444581, 349741361, 63335399, 721524986, 838739037, 489711692, 253298657, 257176411, 641917782, 161128040, 344875658, 585148129, 670319011, 893520022, 76081745, 395731149, 339944870, 141815783, 358925659, 602137232, 507679952, 717039033, 117698351, 176692785, 605620911, 214618123, 871594292, 29550497, 436923319, 895643206, 967674489, 286252059, 948972642, 78451656, 162734352, 657456496, 381774145, 228053671, 274601057, 677924121, 339345251, 622719822, 945162065, 334975364, 693638534, 901314321, 297672549, 200281431, 723205570, 50355776, 356163487, 839915477, 490168671, 301725111, 562800612, 905966369, 704232448, 132044849, 865196055, 643432579, 702922075, 896763731, 186411651, 189733557, 616494184, 588079910, 835637604, 49607359, 867079690, 399563719, 926730595, 409191642, 62016944, 199166737, 51726493, 437552208, 561678237, 553396151, 326755083, 214644391, 241145677, 859679638, 395101672, 840272035, 5395829, 302547336, 527213488, 402371398, 947772447, 40460387, 631014116, 47273829, 376527015, 205088412, 999591195, 612492796, 96886772, 656900360, 450759419, 64659009, 745138929, 721779261, 186265385, 7844576, 158488755, 635839269, 499216146, 970953970, 180478362, 302603671, 634629607, 736887111, 165986394, 245649947, 160545025, 217631601, 953310807, 8684568, 572232893, 273648126, 989391590, 365358013, 181862891, 376076035, 266483727, 134241586, 123990104, 30983681, 179596556, 903950726, 678607216, 218442403, 704261288, 448391995, 86255317, 342155702, 738094846, 433821052, 187167301, 755669208, 76747788, 175173991, 916407634, 83540991, 490093700, 561315184, 372637720, 571337702, 795213203, 942734536, 658218630, 866202070, 419477828, 815139043, 358815032, 701061429, 344239562, 658886250, 905394596, 256692567, 523754643, 426772438, 820004502, 290500056, 301444506, 887680978, 768335275, 52468787, 697010351, 679253824, 688908625, 440122348, 319889522, 810420547, 113823091, 378128385, 596393259, 520104589, 57322075, 248931053, 284520835, 121037934, 785244534, 694617743, 911694088, 570282400, 474362624, 22709166, 230096113, 524087429, 420452243, 411633800, 334702851, 270203555, 534168447, 938004410, 907880246, 574229832, 553690840, 397582945, 531081371, 142455337, 350359642, 463641365, 70522874, 455850683, 160317199, 160954644, 691602670, 21680611, 745122717, 985110278, 471362921, 180404964, 163499070, 552221301, 544873473, 77047805, 100813730, 729635337, 530399110, 416201065, 91901151, 251742917, 84948823, 70360328, 619934206, 754484773, 125006984, 52456028, 209935159, 532292505, 956160482, 319215667, 773037368, 653017635, 487766112, 327234175, 672767315, 463331495, 888171378, 749618900, 156233392, 10537697, 366419216, 44104553, 69336931, 165236844, 352871762, 46299973, 531477339, 41417364, 775044365, 320600462, 125980965, 395192846, 850377669, 224083642, 348676404, 416603672, 372531946, 112600302, 962920248, 159467673, 834649100, 816132811, 230736193, 805050062, 27564539, 83243956, 194762129, 863932750, 450436943, 526335516, 641386226, 385057115, 236867949, 701593856, 837310229, 913838064, 441748334, 518067402, 369993532, 713134894, 455384439, 506514016, 227561447, 928439499, 747660066, 80936653, 857910292, 536118965, 372855979, 477553629, 158859614, 717036020, 612910221, 177371875, 920614988, 267855119, 904937494, 817679231, 244709354, 168288296, 388272226, 354465469, 448813267, 477006816, 274207732, 704675430, 549310363, 527084485, 989736419, 402272791, 785457031, 663755886, 727428753, 997462612, 428652370, 752489691, 749790283, 668794814, 626392404, 468315365, 477735580, 79469587, 8457964, 183635575, 191476519, 729948415, 87362202, 250262505, 236313093, 31527590, 755414697, 823387100, 409436960, 542845763, 587272099, 608270713, 526772735, 343601689, 155136791, 169618479, 116916779, 426422, 115813795, 609828936, 65047314, 681646366, 679204049, 396017727, 83920520, 639617970, 126699525, 302059639, 236274394, 393520908, 569169869, 402334979, 735408329, 174636318, 365258609, 12134705, 598436276, 254099894, 224887800, 820146868, 911966314, 89176212, 22568506, 44322479, 854077800, 418553421, 200565557, 47887077, 38167258, 993707106, 599260284, 772176880, 875475806, 784372658, 125789906, 926015584, 263241596, 662814547, 927543603, 521655845, 811487023, 221117204, 180427532, 659903398, 354777245, 753162304, 913435497, 113210286, 290747230, 273404460, 380278124, 500177934, 807648982, 436431573, 450626776, 708871174, 987763825, 110751987, 937794440, 878045771, 113722498, 899272204, 808941047, 280746994, 727777315, 112355986, 938779698, 607279688, 647531776, 292546703, 999439469, 747531740, 816751666, 501482229, 269017391, 333044675, 34562390, 478907946, 378881140, 603090272, 423964905, 96756416, 103413711, 463501695, 878746807, 972077031, 878121455, 70097295, 771555163, 778515751, 714265021, 709181122, 68932333, 372787435, 999488673, 815926121, 173613637, 325590456, 529982576, 844716595, 188643255, 729160602, 408965474, 203355813, 808010222, 125687696, 721530689, 803243417, 888503393, 760548223, 569136273, 20328868, 982368399, 682418271, 424299068, 646818202, 699893522, 526681114, 769602723, 486617880, 992631097, 313072497, 931738011, 211135186, 5746355, 334007899, 336459593, 928838298, 506138360, 186941476, 264032572, 436245078, 87901755, 938428222, 425600912, 505894359, 432286816, 899291953, 127275090, 528488766, 749136397, 398685024, 371444122, 691263398, 731718923, 319232361, 151885042, 822189268, 533107845, 570043448, 452688062, 874884006, 671046844, 869349848, 111413012, 953377055, 594145079, 782669788, 987070770, 87658612, 812401213, 612678411, 44813677, 624621652, 473825015, 280525464, 440493655, 359736933, 34254641, 602103293, 963384938, 450477231, 22173927, 731978510, 206379448, 656241647, 518134940, 609599363, 739238590, 123258423, 93171933, 394618864, 186397051, 168046789, 106955776, 810590060, 179640257, 687150097, 392957799, 945213335, 358515734, 543366776, 727244010, 96020968, 357373675, 243813900, 90829957, 490805934, 98604323, 344396328, 648898255, 241392633, 1113720, 905283694, 559844998, 272094024, 734328486, 188910214, 563835739, 337776564, 446607577, 493873526, 227864556, 871081261, 654347423, 446513361, 611383372, 459240535, 160431001, 231124459, 941308378, 67690495, 328193053, 281672013, 22206639, 957646372, 752437488, 617674345, 188070410, 940710351, 639551016, 984915811, 180188020, 313171538, 488180930, 887839533, 882228438, 562540406, 532304800, 526631259, 199396620, 888925226, 74489323, 453351465, 947411300, 788564203, 840687243, 51253137, 944182383, 323664159, 175399870, 125549825, 276196386, 544373155, 705403798, 322167113, 73082, 109252886, 719006514, 541315191, 516518781, 155873634, 443035733, 867524142, 183344163, 718253009, 240127773, 667416016, 950891200, 698492329, 666445631, 653196047, 506845481, 705054333, 465723740, 770146624, 152049796, 940243019, 110322032, 952172457, 987628161, 337310716, 2122874, 672925316, 736991198, 611116165, 745810664, 953394515, 238095528, 671319513, 129742674, 159326003, 293819073, 257185290, 684470299, 313732565, 420077798, 455520364, 483580307, 920787938, 45498430, 720216354, 143934963, 965257030, 854515136, 201754485, 319215167, 882710377, 952067054, 735997232, 51121482, 522966021, 385394847, 842815890, 516638894, 277628157, 785970042, 579547568, 800399524, 360043058, 221773747, 132955765, 164743300, 290596823, 734001533, 39487451, 597318901, 41322123, 32770386, 998173637, 828741308, 233082254, 271609464, 566269358, 290222267, 229714795, 637918410, 697028384, 976809100, 625082790, 185417212, 560443453, 338637098, 848013038, 303892301, 999044609, 335534195, 700741370, 948263319, 558955995, 815310390, 720641834, 720199038, 35192372, 553844147, 571871329, 740106835, 56279522, 155130106, 28355311, 667766615, 302110574, 607531371, 348202759, 28153049, 258040098, 597236980, 892348000, 73127641, 604235512, 36439253, 686069722, 37673850, 776902894, 228897428, 523215026, 435493636, 370958227, 678470443, 534592547, 419300099, 614230853, 145812527, 752910039, 345687844, 33945602, 845994740, 718317511, 395537594, 513277302, 131824308, 181223449, 225660100, 862532956, 779694590, 124676145, 657555548, 514377047, 740287209, 516501672, 341946560, 537495966, 78259785, 371536142, 359274132, 151062832, 768494887, 67443270, 472199249, 148937622, 543409903, 483079474, 722594099, 877237931, 220789635, 644224022, 923337533, 845377124, 287126024, 564135750, 622864905, 86901598, 518806202, 39568124, 835578564, 386263819, 863208844, 479577616, 267345079, 456977289, 373548102, 9349275, 700128232, 64867943, 840363993, 773106100, 486368129, 790973117, 166056743, 712053907, 60617201, 650720066, 80735909, 183486488, 511277826, 186743662, 500557022, 577208194, 272661751, 778560138, 253806232, 102478312, 332953516, 194226963, 366841568, 380456344, 812294104, 765258082, 119968256, 779454367, 28916191, 265876041, 684815589, 66081806, 721340536, 924815994, 155313968, 650221673, 619694263, 159848594, 328300755, 934197039, 792458056, 290622615, 58831436, 717608066, 130188335, 603710009, 731776980, 204451494, 606842610, 280810714, 567802217, 844169825, 597836602, 83004783, 950793744, 876823889, 324563832, 551375853, 779470571, 909969171, 707591803, 898997241, 33452772, 499626838, 8844973, 869890759, 779803414, 648691559, 765973682, 315643128, 221328971, 311823643, 790270835, 176204155, 553094134, 458230773, 481716477, 341419295, 933415311, 828985444, 732945258, 567677708, 877688254, 243113686, 961534503, 601017727, 250577348, 803946132, 620318594, 984107353, 979413122, 261743691, 117567182, 331338037, 977214155, 328372228, 162344702, 455285117, 6860340, 553136275, 896843127, 585823598, 670984387, 821267475, 652726919, 647888977, 633776261, 37160358, 321204169, 720173067, 537167637, 414491555, 141906925, 741113291, 780287347, 954339076, 42364810, 968897074, 345383775, 196296909, 488043309, 880366669, 651576777, 435315435, 975494115, 639521813, 647459257, 412537298, 13505783, 74802694, 514631987, 957529938, 166483659, 171457274, 982516182, 619841584, 961984203, 253058234, 55147038, 967290933, 598653393, 49249287, 714691832, 633659711, 175441846, 668740102, 391531889, 872260053, 143540086, 437242799, 759336832, 835185940, 492424387, 58838124, 34169997, 38650138, 335497990, 686027410, 340082218, 729259404, 85167036, 704677792, 715863273, 5379784, 736539120, 21837290, 500947688, 568680404, 18649062, 353165769, 743281846, 329790609, 803022825, 106323560, 939790055, 855118932, 395247380, 710215084, 671835621, 707495924, 954616224, 145382418, 309782559, 380021233, 570022296, 740358204, 832340771, 579888834, 142792920, 589092762, 689187508, 504758140, 300552837, 133555385, 842785059, 639107222, 837323793, 263810491, 195810803, 821647624, 426378577, 699223550, 689003199, 656249640, 929574682, 87549840, 696460103, 889202159, 775939967, 896540159, 116563655, 216835057, 162099264, 675770938, 77234716, 451158789, 563555059, 639340466, 936996486, 160390920, 198452932, 11038333, 279077222, 366041130, 93308031, 561604254, 813866084, 939061355, 673503323, 169067299, 125707721, 28174435, 399197699, 678389024, 441997489, 419945054, 882171674, 354712320, 152304180, 732244574, 200146818, 218794429, 241978804, 410513720, 228877864, 167640672, 187451390, 399603526, 70020303, 176513943, 367739406, 163114736, 298677807, 609378713, 22487780, 354514935, 547428836, 35613962, 454339127, 494023427, 524108015, 565770256, 15939085, 28990761, 675966, 108936604, 958223018, 851997590, 682696332, 156189253, 281446565, 201939306, 302523879, 368600640, 794114046, 10011188, 245407482, 552736200, 519434087, 320195289, 783119685, 873325425, 247461467, 289913835, 954404293, 745804436, 350678315, 463521194, 576768293, 577275038, 969797140, 385197568, 4453837, 337394214, 764253889, 495945328, 362826645, 908362492, 710787106, 654436238, 12228836, 950450515, 656446180, 122144614, 667684938, 968354333, 680755237, 509080470, 196181123, 276902870, 594732571, 984547746, 453341453, 962600924, 718494878, 109028389, 843373674, 709694653, 364692641, 336546855, 342293435, 581272676, 781212038, 77385414, 844730252, 949300304, 696328887, 794183512, 59302651, 136851735, 331528308, 480288297, 668491931, 441318910, 264391635, 375415256, 659972923, 256529279, 561805913, 682905248, 969226309, 392237220, 378596482, 601302704, 179872567, 261197532, 688886620, 196342349, 63579702, 906141476, 900401622, 132665497, 267899516, 96039340, 472080731, 749859703, 860109195, 384106975, 831311528, 307315446, 95858417, 798244728, 226045537, 943911566, 769617560, 977665238, 135579293, 828948207, 510681499, 625275971, 68127783, 940618113, 876263403, 456468793, 939988553, 593944374, 761203847, 791926862, 241901930, 271111793, 641809141, 560035831, 406965522, 682281115, 409427272, 550790902, 849628222, 959503013, 131164739, 253912116, 820154388, 145116559, 704236450, 94652228, 892822914, 734825559, 255292494, 731935773, 84624086, 363901594, 916807666, 896295469, 796983581, 188133361, 325126133, 306834182, 737051508, 349490488, 907463069, 792309590, 862097218, 547824147, 50527423, 552469419, 129186640, 432893930, 704277729, 139564637, 927343431, 775883947, 60661774, 906931062, 441855316, 546876848, 742733234, 882463833, 999218664, 390767066, 879062833, 347196037, 904571972, 202518812, 924792524, 913103774, 433216228, 231516884, 110931814, 204767186, 892020301, 758498003, 55632240, 852626194, 853208641, 39201337, 796591584, 788632600, 815499432, 981290889, 43954371, 587594948, 770181213, 235788939, 843711087, 237226942, 666737944, 94412029, 603393417, 652172729, 559300265, 207410178, 58695385, 407605841, 858452849, 798941281, 757273232, 863487460, 787288378, 659887735, 742526642, 202003257, 378793867, 85464143, 772799246, 422553219, 573341602, 479946375, 695467144, 592803960, 204900362, 357149545, 411780601, 460015373, 46177022, 810443724, 4998103, 849888747, 168690068, 807520421, 171341175, 390408419, 837402058, 96470358, 644921218, 616492482, 396748270, 460562573, 84686751, 516775039, 359195286, 437074236, 385430819, 199471215, 565683707, 890472090, 239676516, 348591199, 251220598, 59754611, 106711362, 433166386, 139950191, 685355789, 965423068, 753063559, 352431649, 357175377, 778150449, 608294897, 143969024, 870055442, 504505470, 247977459, 285118569, 639750206, 657535213, 129015953, 67320789, 748963577, 931759266, 579707749, 735872711, 256093077, 575383146, 727208984, 97087993, 266117315, 672173920, 721198879, 680053140, 784775260, 394836836, 51237261, 869519151, 534873320, 505798032, 70184179, 920885931, 138718091, 935138104, 64225916, 73657433, 17554304, 791798442, 14707325, 572153957, 441576886, 95420858, 601842546, 485861636, 843971544, 849396962, 729506776, 138700555, 831196616, 788578208, 947957916, 346652400, 993829964, 953057948, 493175676, 256190744, 688454369, 849398004, 71861147, 900422978, 849333005, 831503155, 454906122, 994345876, 992758758, 45374321, 564416840, 442153328, 745751603, 300979271, 57774193, 887695041, 766121248, 178679156, 501292817, 333625589, 658978505, 370603314, 255397765, 274270154, 368842703, 515681402, 498556003, 257347027, 668949872, 879921221, 208621658, 654651245, 649848072, 472732771, 201061534, 436739422, 301068100, 782765014, 686269160, 635093404, 857519413, 401924617, 550387690, 334378784, 525295474, 25948021, 552728773, 521777225, 934866256, 153451934, 211065657, 168820683, 394652294, 512638707, 68905478, 536143599, 877958269, 935582786, 504060141, 340358382, 555478512, 221375451, 864211794, 345730522, 385228539, 73838715, 794136318, 479570483, 160133441, 750198643, 37063576, 135719724, 513636614, 476173229, 599783681, 45660220, 974156231, 508910135, 815742270, 529643223, 332651916, 853220478, 448484874, 552250318, 334941100, 712397461, 309729375, 523068161, 850764689, 794087837, 651854732, 485082547, 214224545, 661273051, 580813188, 574042496, 993241373, 591440418, 456533555, 385100150, 874318066, 643792474, 242075776, 102660884, 797703766, 839523159, 294682614, 652844107, 232709449, 321268731, 496894840, 21991314, 318705898, 141375591, 124309995, 957825245, 424932418, 193977154, 20732419, 800736195, 128943605, 649469039, 366411072, 193727350, 408963945, 570034592, 281456521, 471974484, 224620510, 355638671, 73273236, 802723431, 925788702, 826774875, 533853327, 227555857, 961275778, 951832413, 901421971, 544099966, 540983783, 391620533, 257475744, 994543572, 61582749, 981044414, 117314833, 222362142, 75598939, 502511852, 770805727, 931285479, 724055455, 308403531, 164221563, 57855964, 437725114, 141064199, 786152392, 461216043, 728451253, 971910866, 729824082, 305917575, 767807271, 182712996, 362581653, 758162553, 650031362, 993650256, 269349581, 642299280, 380152479, 273112546, 620883381, 180406508, 394336999, 173960662, 990874306, 417589107, 932088011, 585627299, 723213559, 103335868, 522320198, 439026761, 159841539, 971261321, 427604108, 713981145, 700113156, 655705799, 402643841, 458898955, 115863006, 258098856, 387046647, 292526576, 292025798, 219485186, 502146940, 413593091, 248743336, 63381455, 57746196, 916614017, 328447741, 373035506, 503531631, 46902466, 18488179, 255826181, 630007726, 371712011, 670915511, 483391191, 16098305, 439262622, 65883633, 195950252, 389960392, 744939546, 521697715, 993543313, 618896876, 217579697, 794416823, 795043445, 576780954, 340439630, 259732044, 689064235, 613528794, 323885169, 536188469, 607648997, 752127874, 724872515, 653630031, 670933602, 30038067, 603781647, 231999045, 982139237, 827262455, 399202390, 249451210, 768358106, 252142702, 187910318, 856458271, 586308429, 501559943, 862727520, 105868172, 475099564, 413414332, 76559668, 348707716, 534257277, 932272110, 927209874, 240442031, 844689251, 588897811, 607854439, 565482524, 970439685, 14774155, 962874912, 568767320, 198285363, 830844131, 435629888, 711547957, 809562685, 33902507, 311162592, 111235200, 27029480, 50101687, 171692189, 759367125, 859710193, 269912015, 241500588, 295267549, 737764433, 598659092, 373101780, 993054350, 667068800, 288211915, 939779167, 825257091, 200140191, 710827886, 126002153, 48299132, 667572331, 771312046, 487849659, 763639019, 989099084, 192419063, 331175045, 399479298, 347860457, 780027420, 883108357, 722251242, 854085129, 926352119, 858226544, 945784468, 93640950, 21582141, 271672477, 130639094, 845434739, 896636845, 226192907, 509995429, 517116109, 30534644, 452612264, 491872459, 481750868, 154005272, 174810002, 78343286, 836965177, 717878295, 209914299, 771376396, 587363625, 19629475, 834194252, 775877013, 84703971, 757745999, 656653263, 830147872, 786385888, 742037812, 632870462, 429539192, 19721526, 792936592, 124913830, 366304124, 303652978, 39479117, 708999396, 540486612, 677023529, 139414087, 687370347, 439051260, 322198716, 795155349, 495140016, 545679751, 715844493, 898967914, 953812843, 964374146, 796754548, 223533222, 836900317, 177890438, 470904957, 22812032, 685406949, 298995309, 584235407, 662690924, 377134769, 821220798, 709110485, 861414494, 253098874, 407322935, 913995520, 945081793, 128913923, 515911708, 110929745, 85567669, 905706543, 969884808, 55650951, 406248797, 872994309, 335672315, 389289726, 548800171, 100265421, 897085779, 423942871, 17033924, 801821408, 231137169, 814621133, 606411059, 389003024, 266843536, 590861206, 645028699, 883908064, 68254637, 174725051, 549066205, 184870169, 794928408, 332263122, 835437140, 584326212, 126150821, 786069224, 18054001, 946143754, 583359531, 309909369, 148241648, 672771710, 984978423, 183139644, 220648948, 711860564, 639507861, 988168375, 655328654, 723192081, 856234001, 225657874, 416932069, 408856552, 323186070, 148611545, 190440093, 22822661, 499565480, 823445580, 20432976, 879388250, 648225967, 179300955, 115180248, 341648981, 230389453, 383723097, 584726049, 298168678, 182197077, 320184470, 399510789, 514820618, 886640983, 445934109, 721423184, 769225495, 439972079, 445793201, 938367920, 484590540, 910326390, 150788460, 529913185, 927776235, 138576642, 471264914, 501101146, 474411004, 897407936, 437252502, 377612464, 451470763, 416482801, 510185721, 428906062, 201192675, 889892421, 218565480, 509083180, 251008259, 595465945, 240348143, 492772579, 902429440, 368533515, 436082982, 10772773, 297155571, 214966812, 122506792, 945566685, 855862239, 890434028, 259219731, 3121148, 997383103, 189117447, 712572901, 757718296, 12636393, 918963182, 8991490, 520702503, 938559462, 741942020, 548695132, 740709088, 214890626, 204171199, 571831745, 445774103, 431013474, 791557538, 918672570, 538272442, 710695519, 590912697, 823036267, 939479895, 397237871, 61321892, 19273675, 584404641, 300505567, 461846287, 128898737, 227333678, 751868761, 834113785, 563607231, 607878072, 612493536, 924884692, 937603456, 293070111, 435612004, 312615589, 772083543, 893318033, 79560794, 247178381, 756710277, 814685082, 764949834, 680544175, 851179595, 308209256, 758027394, 880870878, 974184459, 866560176, 930144485, 508422105, 173435669, 947985048, 469092307, 881763363, 39938678, 494941081, 395221711, 816340373, 951157388, 912218757, 348537262, 505843153, 435818353, 652817791, 733033378, 956140759, 985451786, 667411621, 895208710, 465169766, 454400079, 978586020, 68752661, 601134189, 115979080, 499203155, 287956828, 949970329, 612155370, 440467938, 916528907, 75693095, 878078798, 368129265, 636648356, 655755239, 122393776, 715642934, 477649616, 667073150, 435904554, 795806862, 548786062, 57081765, 692663819, 187205878, 32291245, 154042234, 70745720, 277786182, 129193854, 451128157, 206958992, 333316630, 372848943, 275575500, 341699386, 120751631, 704502060, 778929770, 363482856, 867070234, 103558099, 465185707, 702565980, 25323306, 851494448, 525906472, 416009705, 298848131, 588452532, 663738440, 297677459, 162757732, 89729989, 479356327, 924785, 398304201, 787625182, 842548036, 598227226, 993281678, 695789684, 710790865, 376809755, 641895152, 87585884, 487676489, 259129684, 45901412, 381051003, 235875814, 54082278, 106191202, 345207702, 823284450, 128073997, 609153669, 855169689, 26957210, 381104156, 391395786, 742083711, 551325829, 503886461, 877898800, 329225464, 582476815, 908240110, 724394706, 650067972, 193936806, 168468738, 126914850, 327283981, 694756582, 656766795, 718055685, 99163215, 853644871, 567625250, 610927461, 174038540, 4284302, 65319, 530805149, 401663605, 432355937, 71780558, 750694303, 137647437, 472577239, 58346470, 217350257, 437661780, 590472677, 319838450, 305641879, 436611477, 80111207, 486655307, 328413353, 675028849, 463213405, 389821695, 285479991, 150451804, 878222479, 133681518, 392478983, 480486156, 121858385, 495207158, 664182078, 939519108, 308067041, 13250886, 902646495, 269267823, 566665409, 628875001, 724915906, 209349110, 240257554, 984220446, 201478021, 597560921, 495654541, 577983012, 517426380, 722604550, 468856779, 574864522, 593805433, 581997475, 944918407, 851783026, 806849726, 870647730, 844626496, 532729254, 509795690, 908872837, 628915297, 947981255, 715189592, 25024446, 947271100, 147592944, 750871572, 792070665, 642664333, 461918765, 275265522, 496660941, 870170620, 830056888, 957045141, 199406422, 439810, 661449997, 946385970, 697180259, 579412060, 432265979, 157200988, 217658740, 920116793, 800963342, 544976828, 211297501, 930459883, 103855624, 903616798, 22078694, 20340421, 911670400, 818293035, 550815446, 636705791, 431370700, 185367277, 943729250, 161518389, 10772915, 445300177, 278435807, 827037228, 852177914, 675400928, 631934363, 180305796, 355172345, 740342098, 722583253, 84278726, 140351160, 291827515, 934221305, 62121420, 839099627, 57241306, 679437605, 989882225, 586487879, 863769484, 377447155, 270805843, 432530129, 286875949, 539854661, 903850367, 964154446, 132140398, 724587744, 900545538, 699244153, 389827555, 603213113, 561883833, 771620912, 959713188, 293455975, 942132154, 36209312, 759689209, 90292570, 5369608, 608787776, 402389053, 804671494, 261774931, 777244648, 161671645, 682005787, 218922866, 145595999, 632822722, 615076111, 60400606, 911602783, 635937728, 200268167, 599948160, 557236153, 636346631, 212054887, 850428787, 209859369, 285152629, 326972526, 776096752, 762318504, 543239774, 797644565, 31931619, 780171322, 314190531, 649913886, 158003871, 119289108, 57743499, 567747755, 177021052, 964664454, 15337497, 38335945, 290274962, 408221971, 401159767, 42356248, 576839203, 695251614, 283466976, 21918427, 517665424, 191087239, 262442568, 686310757, 84821890, 704278945, 206994502, 474855578, 603556078, 137422463, 439711342, 171935307, 367785377, 180118194, 615875182, 622246939, 855842587, 455100332, 548318194, 532225442, 356797278, 834057765, 295707356, 550228800, 498181386, 646336409, 305430721, 675651217, 721449310, 41832220, 237258260, 939231333, 764568827, 423837891, 909415557, 850553884, 435511584, 332879618, 738842919, 89390230, 780301793, 960497416, 82382273, 833966810, 572387150, 937779769, 148054255, 745661192, 536268224, 872681147, 911240413, 261928940, 168104360, 95545580, 277589796, 608026861, 459541118, 65499425, 932149248, 142452129, 287248164, 797279738, 264022503, 892300745, 775167820, 398179949, 862392042, 812950043, 997322129, 571576688, 238503647, 296930185, 557000198, 156390660, 48064481, 67498011, 854695491, 254333474, 223113449, 507104026, 578748604, 291433868, 248644793, 846318317, 416992242, 293259346, 931964890, 587768104, 968452454, 890431358, 244500783, 857480349, 636473480, 857487651, 240436211, 817540386, 226294936, 839009922, 387608153, 913141918, 284272695, 959573613, 701903432, 968263196, 765172834, 481013306, 18596511, 267211980, 253658514, 91770029, 306763949, 874789850, 588175056, 744980046, 947098563, 274203804, 721782303, 755168674, 847155342, 118083735, 998878592, 17845493, 842821869, 262485037, 3657268, 667005487, 190949753, 130914712, 79401350, 626630350, 987047200, 814336045, 364844008, 101713611, 211623574, 555120974, 682625425, 904095890, 814251438, 591227555, 52517350, 134973753, 949023865, 230297159, 997072075, 872605135, 168771176, 167263325, 21982170, 688778198, 498981905, 641642436, 805547581, 217994858, 564477198, 88713771, 309482707, 386631739, 720010748, 505756282, 587500386, 988549425, 366363542, 831471546, 582202991, 652710605, 182800603, 352097976, 631427435, 915687347, 779368105, 26209886, 45274527, 615977557, 158224408, 438503606, 342988222, 524649749, 752687841, 109561910, 380593793, 536911176, 504335824, 90114726, 901528492, 796006591, 992460360, 680171937, 8642927, 277686363, 941526576, 718808719, 794699082, 64104580, 127184947, 435809784, 521280119, 101978205, 165922814, 888778997, 867578948, 529543072, 730497338, 129790029, 25957923, 437972614, 594221529, 10944832, 362323070, 571978362, 347787857, 771581340, 786664295, 850667343, 597329689, 355554290, 741603187, 796593227, 334353690, 391949062, 478255934, 261182841, 238652137, 552096208, 175373804, 692125305, 849229358, 509588252, 757033312, 644027411, 253654659, 45066607, 506235806, 831303395, 720839041, 190785570, 778043328, 433579540, 996180198, 356501579, 939713884, 318771557, 252582353, 176507676, 38790592, 263518135, 797483898, 132914812, 874915547, 991778086, 686346732, 839252507, 79431229, 299513911, 958919041, 922542202, 844830532, 817556712, 94340424, 940217018, 581907938, 771757665, 771759809, 717759565, 462159149, 949197779, 484091814, 706157092, 390183738, 633076378, 183638551, 236272850, 696002465, 252781297, 498824874, 442612254, 582836756, 678863848, 723200825, 197666694, 639204822, 685775809, 645410302, 374438384, 439577407, 164093305, 531214485, 585336486, 815064550, 931466452, 6303388, 199037835, 462906037, 521473211, 756060285, 29136342, 634559377, 699369959, 60813892, 406824645, 216742186, 611547407, 890820082, 714078741, 168648991, 538167279, 529353376, 112000705, 867290946, 669604151, 862358600, 685439392, 790821035, 543169541, 921339819, 916238069, 712135248, 244840014, 997444331, 722073300, 426358056, 296912170, 163693130, 748983299, 747888429, 923248622, 357161877, 146954839, 2764540, 880829910, 937594915, 513421923, 314754196, 184695180, 705415822, 145786376, 584274722, 760437914, 914348281, 282025625, 284861532, 160559352, 154909831, 71642307, 36851642, 930960391, 468072531, 708236180, 523682292, 612834533, 397702410, 240277097, 156684868, 640072772, 289027168, 639057227, 873097294, 624990159, 854145512, 435589492, 872588194, 534252487, 828679833, 780481647, 70637590, 402613358, 929324463, 49856650, 66578754, 733548133, 812641041, 282652924, 306119943, 337693988, 967431260, 574586795, 708883222, 613270197, 154118607, 416464848, 462305853, 14455328, 64299396, 854297929, 722307974, 741382207, 557030286, 972264717, 346447029, 822797021, 335292761, 359239206, 476836151, 199307137, 802552699, 529389802, 40705378, 279909599, 637992772, 939602696, 766789648, 413518763, 305052414, 898913355, 176703396, 67986608, 757167538, 975859929, 496172257, 87069582, 692892574, 90077206, 175333088, 287035373, 914335128, 187795724, 638335285, 797479256, 278588495, 187430124, 675728537, 634055760, 768279964, 286007065, 793199096, 712218870, 315395332, 127653478, 197723401, 729233007, 908741410, 827391220, 517760150, 497837169, 522181433, 196468998, 58820522, 675527092, 642487545, 880391688, 298431012, 603061648, 395910974, 891719282, 813936204, 297246437, 663533740, 724986921, 274601706, 802085817, 145004196, 640530688, 741144904, 87395571, 636437574, 971505958, 908368542, 668592554, 852804503, 776686583, 841021708, 987291399, 187339405, 10477533, 997728565, 197281302, 390942001, 15357400, 524396887, 223847134, 763550155, 216884853, 791310388, 572841234, 195223265, 970333876, 953555200, 23661116, 548992695, 11420769, 499207930, 959785370, 701909607, 896506799, 888435592, 272073812, 337621080, 373834359, 213280551, 952036878, 259716567, 178658863, 218553987, 288578098, 529682630, 801937700, 957420350, 624220675, 284719882, 848116046, 129314313, 978095507, 992914664, 861744483, 571760665, 98501359, 864590394, 378462076, 703217121, 931584924, 969529365, 461582946, 547990610, 802057707, 435923215, 430013472, 696117132, 421398304, 386358332, 594558483, 557976187, 388999821, 36588433, 716579440, 850467310, 751006761, 857974993, 462148049, 640304510, 14806628, 511149350, 134095703, 91098208, 245729141, 571061761, 357915926, 772389283, 836004959, 886079217, 895467423, 816481391, 733914572, 737201584, 303019881, 171206635, 239531484, 277628307, 864908442, 970018667, 394712424, 487521180, 587739206, 538246304, 975026208, 971793410, 385330169, 105465470, 432680102, 665757368, 329509654, 244310653, 756378309, 423568488, 793648151, 647472026, 549693935, 239652687, 355367952, 620024835, 128834307, 327926998, 123259435, 22677623, 328799045, 174640706, 485026527, 390884909, 877592372, 492863467, 547857513, 540588022, 581591735, 834387376, 657937816, 458520168, 360537616, 391283416, 778531388, 581446206, 536338246, 977181206, 436803484, 214943570, 145652381, 766289855, 656652966, 3613295, 468108480, 419741547, 883224441, 612829924, 972081104, 347931761, 39148008, 856814869, 891561034, 869539619, 309155072, 859423504, 990231125, 621844969, 841800137, 786762325, 883479353, 813065999, 92726630, 257226324, 902615578, 348261780, 794272293, 150986987, 307064294, 10643687, 75104208, 60948843, 188394381, 859108793, 796554273, 491183521, 315962546, 896190199, 698900148, 293664036, 385428892, 462868967, 900065902, 204075442, 698550611, 173475737, 683897762, 147900133, 585781922, 469355064, 943447783, 567384662, 813627785, 78879951, 742334771, 899984358, 588155940, 920456021, 778498864, 363186127, 190272684, 703670819, 628457422, 822245606, 732431291, 315036459, 221062336, 397221611, 225287120, 66523752, 108836931, 677208159, 134256630, 881239899, 890611974, 205418486, 843493213, 491299204, 463460621, 516621405, 109499996, 88647917, 742975401, 479968985, 157918752, 755746626, 322806058, 925938266, 950492858, 138866001, 594132446, 330264088, 154014079, 139875080, 722952756, 240909420, 751837772, 512562406, 194386053, 864232815, 948407570, 818419175, 2206255, 492841276, 747703923, 41417212, 696538591, 233744548, 313378063, 348170117, 526035301, 19546255, 641301114, 447694180, 748620684, 303825886, 337182923, 220021200, 553103182, 606666420, 966991734, 871485851, 959166114, 47175392, 60813862, 394179811, 924538083, 809829539, 946472271, 800409805, 390228801, 190355306, 650490817, 640253617, 829628831, 118684483, 392589620, 916329535, 761761304, 751432509, 876414685, 900990432, 650994812, 552409789, 837758882, 281566026, 376237118, 737360456, 571852725, 653756555, 892289651, 863022151, 292696126, 509716658, 491571681, 812779464, 535811188, 449539393, 185841894, 353939136, 426396645, 64350744, 324676552, 948753710, 44454015, 179610892, 908814548, 897913796, 284242296, 317149607, 360127567, 572741500, 635260558, 10689358, 606281229, 980952456, 382101194, 10974366, 99436639, 694327764, 830097302, 921007707, 148889839, 768170911, 464195444, 409533053, 214613262, 414651219, 668372833, 948576074, 336639452, 948841293, 253533551, 744398774, 661625774, 263128538, 445732475, 699051449, 999065265, 863737064, 708285580, 727910263, 693434863, 324403711, 314960258, 874904816, 464655656, 42728788, 944554178, 935760521, 32682942, 226524216, 321534052, 219969575, 63871806, 423692101, 814392677, 832777748, 393386520, 331897039, 247381899, 911275566, 604450913, 933332327, 460048858, 415883190, 38216994, 182653754, 967368374, 382694521, 952046023, 578243781, 260989550, 59824283, 520852935, 596329913, 516516819, 458014931, 614663587, 122147473, 581912905, 953338545, 542975098, 50144972, 613098606, 11099411, 102321457, 954516357, 901440493, 386955984, 896856103, 897144933, 72367860, 233788363, 691106393, 583514274, 369587732, 360878776, 172839038, 264347251, 604888371, 923415436, 838472103, 237705395, 777880386, 316428279, 99392509, 908353262, 245224607, 539801735, 596842274, 83408729, 459643218, 7518940, 944950129, 175926323, 74152010, 81306648, 275173038, 800512710, 973241498, 265703490, 690495786, 135079119, 758281994, 249951250, 284185889, 241835586, 56401782, 109706133, 730562988, 867729337, 373759362, 607928385, 343580231, 427549760, 123308699, 35921612, 689132609, 771774015, 906968430, 32892923, 713281698, 412682059, 646782876, 841064387, 605295209, 543783500, 625369761, 205519227, 822380188, 206632568, 251012971, 745695747, 196300166, 892841365, 78773177, 985566260, 969318175, 683316655, 837068473, 791072210, 243678148, 140865842, 72660718, 881380838, 538063396, 37493481, 509851565, 20418379, 526479005, 732037785, 477430234, 527605318, 73146344, 625319593, 160562077, 741527942, 905030870, 41470686, 754526713, 559130300, 753095530, 631801599, 369037368, 520298555, 711950448, 954644154, 707617184, 358505846, 219872100, 524866216, 998245296, 718108439, 324623640, 406072672, 272238275, 842032162, 892682221, 967762635, 915257425, 718891842, 137337068, 981028853, 24852099, 518644157, 416154501, 975145192, 882970034, 762967064, 452960453, 714077274, 368515991, 92093515, 883582495, 350022345, 972127967, 897691824, 862484418, 50453860, 765972770, 776675487, 220297344, 719230475, 734906146, 466730578, 109036935, 488160229, 275997032, 510766425, 986955570, 629087520, 994511487, 465628615, 227215044, 384890636, 532943426, 887125852, 305364822, 923931376, 478140246, 642843524, 120444978, 16297668, 476969862, 699673778, 245863129, 24104075, 88520521, 604658106, 388678943, 202922461, 399924948, 557217325, 676758005, 579574710, 523624253, 681361313, 510323340, 149758874, 769648490, 826092815, 350926880, 653845897, 797882992, 86289504, 773885190, 628166051, 427387195, 922773884, 880031469, 845125135, 504637386, 935210436, 545431825, 885413394, 830118372, 707295076, 343590766, 892308268, 432359632, 307563805, 846043970, 676220080, 721974176, 922163550, 377672348, 74153659, 487575882, 208818326, 808095633, 617221221, 96566640, 662946818, 113513815, 322351567, 784207463, 26105831, 285536221, 768212505, 469063978, 965662275, 271136411, 349917103, 922504437, 446740386, 870766859, 956130225, 456780899, 243731664, 938994497, 676045953, 411520052, 829672919, 395089552, 856226046, 826369624, 574373992, 629891191, 387571669, 646489575, 715345105, 449696863, 483240107, 920528911, 611976389, 385374334, 208293094, 938905158, 891445399, 492129556, 233007161, 311429379, 909581302, 672164598, 859378737, 30992520, 546715355, 859716820, 581253696, 119594751, 383655730, 806115305, 749163130, 11762412, 900573967, 546536418, 365537555, 716526815, 687736965, 552330389, 419599286, 549545254, 813944411, 179530342, 919337293, 326991489, 470628052, 360418541, 46906385, 623808890, 26896809, 741082390, 898124611, 874694677, 655784677, 673632844, 616355535, 722182536, 396036108, 558147763, 869719621, 31478883, 302740186, 559593546, 182027168, 170526069, 321092190, 229894078, 276473519, 802462107, 457206092, 130227100, 416031942, 526334357, 254960808, 485313316, 335695413, 829228682, 624448852, 799618631, 925032177, 60571346, 691736941, 392920134, 786072370, 507077065, 55461533, 650312599, 425948203, 94203395, 458632235, 506126349, 595844681, 147750469, 883983746, 192417321, 936183015, 11332920, 28937026, 693371680, 601090828, 402763235, 898777848, 684218087, 690945025, 388328106, 304745881, 397624675, 708178649, 605686869, 347476267, 484342668, 978417341, 528680368, 704858603, 522803587, 136861028, 730925771, 716977407, 76859242, 568984343, 627528035, 779719917, 552287963, 316881380, 484533248, 695388307, 15555302, 75815421, 574623617, 551325561, 972589086, 977844304, 25512381, 147963675, 923101860, 747928698, 705434625, 370967243, 898776319, 804662616, 700012273, 321113482, 852435323, 42187589, 587657442, 98826793, 187060080, 269988812, 757757403, 580311009, 807746399, 832861236, 261299811, 792987561, 42523733, 442610343, 718900971, 205956243, 780676092, 592626476, 901578338, 81027554, 229121281, 709418994, 294482880, 891996880, 934482797, 253326983, 742269569, 935594561, 449788631, 619243419, 386424343, 905028144, 663230087, 411489300, 235136044, 175447041, 167352602, 402406855, 641401496, 110266506, 868237777, 374380092, 609676764, 16283023, 478016800, 921309087, 437653234, 102385095, 646522994, 807326463, 175007533, 400573507, 765957392, 304191435, 994055551, 843678837, 863148167, 595238244, 678189361, 442405521, 309937718, 733779000, 998566826, 325443154, 290546274, 351800101, 774087390, 56701840, 766005310, 502122825, 684003871, 167925794, 997462584, 862319921, 643190097, 184650864, 348852682, 722358725, 508969533, 371306782, 251176314, 199747211, 275778056, 995751734, 469096559, 550476241, 772986259, 437769121, 812866103, 987221926, 341575321, 200961005, 604948205, 991841651, 410016107, 522037193, 622921020, 82691733, 448218973, 568154646, 535655485, 201477910, 747352525, 779012135, 374544306, 563601984, 434265525, 61735689, 789458835, 523423607, 781895212, 222630957, 256890085, 693710608, 746943260, 458450606, 7104475, 223817220, 107805963, 663199247, 525689509, 524976494, 147877708, 92465077, 958207131, 393249732, 1416629, 496214417, 181177504, 96556729, 290552216, 842370233, 863478147, 681904269, 601108165, 431562171, 5519117, 592419675, 989890395, 736617772, 867877959, 151241851, 986289192, 266826784, 36148395, 814250670, 394756585, 53449818, 995138249, 618338735, 331304244, 637390763, 936952671, 552271467, 640116009, 578693986, 227923536, 142161513, 689612688, 738676446, 696024487, 447792995, 713990924, 13806438, 60601670, 131680549, 223164240, 25713940, 323676213, 300541350, 444171989, 494685123, 190483332, 819539286, 238252572, 168689891, 880459830, 689372635, 404625365, 812368825, 979117506, 811758124, 859398688, 164365070, 389861928, 853784875, 796898239, 854579830, 533509371, 456362017, 800713813, 331839411, 717719030, 56558840, 285863843, 553731565, 979004904, 714457462, 930877526, 833378744, 495505889, 865653138, 13272610, 678854548, 347364705, 877424009, 931050427, 275661990, 690047182, 88106953, 526194343, 488936811, 797805947, 591411026, 597965948, 648950541, 556979462, 308919992, 888412384, 127708888, 637125954, 911822154, 539639875, 760589400, 458357677, 109462271, 844068139, 86866776, 54297612, 254075278, 792078178, 187023532, 958403505, 351265885, 960887716, 961815383, 827337247, 141684456, 753876605, 873585888, 166388053, 259077160, 512185560, 11938638, 736254029, 166133128, 629868718, 530102940, 689153635, 477002487, 42891996, 302446143, 982272744, 911772595, 154075448, 750827690, 212396365, 159775328, 2454068, 763020428, 932007298, 78372699, 728232895, 279123736, 576813421, 901226220, 11602560, 512406807, 147213231, 618859702, 365823558, 477212684, 732737821, 80762275, 906569449, 344181378, 573390529, 132904059, 279450880, 384399566, 718554319, 827078868, 227304824, 177132710, 463588734, 979713829, 340157849, 535558255, 150486664, 164984455, 3395298, 475568885, 248306231, 59663944, 409138700, 565697696, 769965577, 178065708, 955870692, 27894942, 366476731, 225976070, 398774301, 193838285, 791528162, 148150573, 446256430, 984457232, 932654496, 533957739, 38137750, 978182351, 307734322, 531510193, 250746182, 412707717, 608671965, 124638047, 322631625, 954539539, 934262650, 49399905, 911185361, 262920749, 433948174, 593038688, 878188370, 819385227, 496279929, 359820546, 956546224, 494126741, 447190903, 599079182, 412883483, 891914623, 401769107, 411010004, 927006123, 995286956, 41378645, 885476137, 371163054, 428991785, 412057863, 416892742, 350767077, 322638787, 528087127, 581143976, 126877073, 609473480, 774999714, 895623269, 480397105, 990217787, 497563909, 72813886, 595902425, 99262034, 229456039, 589384461, 359464137, 548842164, 610136547, 485848908, 495762370, 783721993, 353923822, 853329517, 637203351, 757279653, 515175643, 39500963, 252765689, 247350251, 774243607, 453635659, 173558481, 906611118, 189779266, 244170175, 903438997, 665468415, 309708433, 299764295, 230902444, 646284372, 489346961, 617541621, 32218204, 253759425, 831664282, 944727796, 644135637, 508241705, 881108255, 784520693, 829934582, 461295661, 719486209, 207580084, 941352409, 40192920, 197720789, 530166516, 494339006, 640347142, 990099578, 140045112, 523119355, 882074266, 506004997, 530755404, 637303647, 431269197, 16598680, 927604905, 682114665, 684548890, 926455738, 940778855, 239174570, 518140533, 110526819, 608095728, 926108359, 892804989, 301022839, 393718292, 504625674, 394841498, 725708767, 39236550, 662165057, 574098391, 55533945, 819736167, 90749025, 126787050, 850189677, 637793204, 709608182, 514868605, 562571109, 25876680, 607987635, 76489297, 457297535, 65507381, 588688177, 927502450, 763370785, 378627173, 347453029, 322506925, 441033073, 548601236, 526159561, 329875814, 938441351, 321443306, 233384475, 680473255, 282117650, 648589980, 377834744, 116910022, 736926184, 310767695, 344876368, 692028004, 344807812, 144090870, 68316903, 439710770, 222486070, 683772093, 956263338, 205514668, 611553088, 815443796, 69769466, 95334349, 826946166, 402123977, 433392333, 826788194, 208666973, 302093695, 119456512, 585697877, 762095028, 958474411, 299167241, 440572058, 441693526, 544396024, 736891231, 405601517, 768857615, 906804296, 561898145, 968569469, 71735971, 871192656, 900316907, 129354411, 290044413, 919114788, 409569160, 832488277, 16243068, 870135071, 945656804, 443763010, 622090129, 885133162, 930184758, 466711, 742178924, 355155311, 981792982, 203993215, 807962310, 982185226, 472029684, 177130366, 17828862, 686898275, 22466159, 580023089, 705824912, 604649964, 496165221, 864735406, 373851675, 696419278, 766993306, 66346755, 294675703, 939295418, 111054455, 870326716, 196252823, 591255213, 911884301, 209579714, 758549827, 410116458, 578643507, 631413008, 752897696, 525041382, 311783514, 78719976, 29350015, 247413324, 157105505, 121616058, 464340979, 770574921, 591538945, 779853362, 140552962, 647114194, 10421307, 771830956, 734580848, 869955683, 718577726, 970920367, 908017909, 749244531, 254787565, 785516483, 869782000, 217876858, 342768248, 514884430, 793006076, 349806180, 336142619, 100809288, 169429397, 941934662, 772810071, 278016435, 48508429, 987073751, 217875297, 879511970, 422462708, 617043315, 287179242, 395521836, 151002220, 509117733, 595360406, 891204632, 41332295, 143704431, 318650746, 670619632, 512410046, 23094248, 255890922, 746638491, 126033062, 123476126, 470641294, 886013843, 567137330, 955507903, 834985735, 716191832, 258902626, 262626217, 832010979, 2243511, 425695040, 531378565, 619782389, 499607317, 712012246, 6083263, 456339794, 376891969, 458783146, 952470455, 637477413, 173703427, 846812698, 983142625, 298677959, 326967322, 560559166, 910326899, 269783537, 385704149, 514451987, 445657780, 804842105, 287336949, 557184562, 117202039, 219885529, 876671859, 927638357, 500194095, 953219677, 311369633, 574091713, 424756849, 60015699, 354602625, 157943821, 835463238, 845915027, 589796262, 885248359, 484772018, 648467139, 911607773, 985624496, 973197112, 202428315, 47191163, 446307586, 103648117, 244225272, 327188093, 940213128, 207856177, 439088688, 359491807, 349788261, 404188362, 63136545, 725989994, 179774270, 509771938, 40134806, 494219249, 310076701, 79312892, 65472975, 394785235, 263099987, 380753797, 949353994, 226640830, 353834267, 578730885, 537234713, 311719879, 766100114, 934917255, 801422628, 434959512, 510140040, 406378751, 212315157, 799560904, 158878528, 834230824, 230160649, 241769388, 73316638, 766603725, 786418430, 353704448, 769490225, 630468773, 633982785, 80462235, 786080045, 148061142, 469151977, 528065927, 919048103, 993220721, 705409904, 25424922, 484307474, 492176822, 654525856, 789200723, 962965634, 130178825, 800327576, 149925717, 699186976, 892097540, 439412832, 797746613, 879489285, 585470132, 918919896, 738735928, 923944408, 434784039, 683120483, 93223567, 341919486, 908513717, 539087832, 432531058, 203463530, 696928876, 872457813, 252267263, 226741558, 792938348, 782079425, 930681637, 569590536, 766718512, 408696446, 728896059, 760291611, 751033792, 653554795, 937503895, 943682897, 548615151, 8161960, 299476511, 385534485, 168535803, 647506572, 511596008, 348491599, 821892188, 726886062, 383588626, 94104561, 379204550, 117715106, 139105367, 139815299, 165417065, 203487044, 427050382, 551214159, 934504095, 477663389, 137088323, 808507148, 201789123, 922282096, 955132108, 131387865, 911228877, 987295584, 970795525, 321315947, 185839181, 570665485, 579391667, 880808035, 30772090, 565511630, 71097709, 937361049, 380889508, 948726556, 378113336, 203372853, 606196502, 87766627, 64136744, 196188220, 485219513, 700721100, 303916775, 696140630, 967877745, 217885803, 385590897, 513324838, 611595940, 130580879, 126141384, 499038665, 458887552, 105498389, 441273910, 134046216, 512450893, 80369351, 792783164, 715879914, 75521062, 326721187, 499063091, 124693215, 851711996, 963516869, 940833866, 491500035, 115114267, 230355297, 937708978, 860098413, 181922021, 329624157, 632145055, 405574781, 797822689, 752356710, 676540973, 583070551, 471639363, 443628730, 108228476, 819138652, 541983001, 276561980, 975646534, 869281045, 647898888, 118315254, 434633540, 956678955, 411373781, 316361169, 721490592, 322543870, 281046231, 238758013, 669165787, 386312352, 72560714, 384631017, 893959998, 579854331, 391944918, 161713961, 491574239, 696922674, 990379479, 149588845, 986174012, 939732259, 771834147, 867839118, 92351103, 228590315, 382761487, 825840454, 39352643, 550989740, 990378550, 377911617, 752798451, 772227676, 451378239, 297164816, 67622849, 609524845, 415189570, 208241046, 784407103, 824264036, 13567336, 725632326, 54096151, 77454895, 562116074, 987609844, 769772137, 593206631, 677261571, 285000032, 289113020, 213168630, 926697366, 478963405, 554278309, 972438228, 909545874, 749730988, 834953916, 772076699, 725239817, 155001124, 913515988, 666212821, 438541015, 408742736, 510973239, 119066774, 281834944, 463685691, 450937321, 912950319, 123280972, 152821959, 143131780, 595876603, 219394490, 505525527, 869529552, 370429676, 417010059, 181223564, 454097834, 1181749, 967831348, 299064078, 38439121, 534561185, 865786626, 905674030, 705801195, 260743792, 994046133, 388358173, 639900453, 302810817, 309338067, 38988431, 674812505, 624474421, 922386360, 750052311, 15562223, 811706703, 624150078, 6115738, 391143290, 357787557, 101226270, 838025427, 923931389, 92540601, 774770168, 110825807, 488008137, 165271745, 906730972, 9238196, 214978712, 829021670, 306669454, 149167712, 669643844, 648623177, 854517409, 421717093, 781070531, 197009935, 549914256, 11987666, 486044954, 901495355, 251055863, 478287395, 495995906, 463305126, 436519556, 662093244, 356916088, 708797580, 821620351, 309954370, 531420873, 189861386, 319664354, 796101118, 483340852, 817270347, 825615275, 115429373, 871717873, 855487446, 749806563, 98347125, 210058968, 329545457, 670584145, 650318783, 518786085, 464411460, 534342896, 301506788, 993386215, 895219634, 84381763, 208451709, 515987326, 951793858, 11335603, 94159693, 98254455, 84905815, 368425864, 146356705, 961492254, 747722821, 932227101, 663571805, 450105334, 438076064, 735959965, 117615025, 24489988, 571262081, 519336046, 59361850, 390613000, 1882910, 531036792, 910728780, 377376450, 298670006, 497794573, 620983738, 850715160, 904396158, 755570221, 393623193, 868995967, 529858885, 852812428, 386871762, 97703564, 760193160, 205238011, 115360648, 563739870, 238072139, 956372970, 988591018, 632658759, 113544152, 547499427, 729533811, 567636600, 849957232, 937776494, 95767261, 235447577, 235029629, 704702000, 386484507, 428473261, 662775624, 29834023, 268937877, 801618494, 69172468, 450968574, 323470116, 620162726, 59844916, 327052908, 764103716, 553941549, 958484253, 641627640, 771587749, 836160167, 289347122, 168572211, 662518555, 413495957, 780421041, 69764052, 915578129, 102823551, 854438510, 169788843, 772591873, 870666093, 244608096, 855293798, 585981856, 551280641, 559699405, 284735532, 71348811, 938890047, 59610354, 995283704, 213064249, 789846436, 667879716, 322579280, 148477665, 791286309, 328376461, 244108001, 577550604, 71214374, 671116710, 851399771, 705750601, 800687485, 668855105, 702645315, 138316801, 337231539, 421765087, 2646965, 466127102, 865766472, 413132512, 467514450, 980391176, 32951064, 999690893, 351170161, 900857721, 310629013, 369769597, 811476399, 474488413, 190045893, 165994452, 394221448, 734846438, 606223571, 965171840, 243003599, 744401306, 743309790, 36021116, 12376056, 789073097, 440579836, 292925184, 616124534, 482362576, 895383694, 163727754, 475407563, 167443215, 921867217, 344656468, 792203553, 645296896, 576087708, 258869879, 381305555, 174753973, 861298413, 487219948, 525196678, 319099227, 459745584, 925563481, 729275968, 301549343, 42119433, 262266842, 978288127, 604755331, 44824632, 844347615, 245995816, 734213416, 295634549, 12317067, 168752699, 571210850, 929657084, 195630989, 158367730, 209109355, 791508975, 51235395, 893950232, 41403402, 516294371, 203219039, 207812843, 824677895, 588477071, 203873569, 92265080, 623564722, 325934241, 96204788, 846632356, 501045910, 866849521, 984006070, 210429927, 637032033, 897755540, 638545880, 120479326, 910282864, 757220955, 534625523, 82641645, 467341011, 15953981, 485647513, 288885392, 175412920, 118831417, 794981793, 81937699, 200862613, 607095656, 879536634, 449834129, 196910421, 759714087, 692602850, 120293748, 998796535, 765092879, 806127028, 124172324, 643891881, 766010945, 954796874, 880542032, 968816307, 837175636, 480060400, 749823254, 370337457, 795188430, 296426896, 929407547, 502992878, 437575596, 850757535, 899880190, 955755502, 424555596, 397724397, 928279214, 603840476, 844244327, 297637745, 401684784, 796258063, 851678668, 347395064, 91991574, 304908571, 294739154, 461067860, 135740600, 934493969, 341665493, 899843762, 296580617, 824063128, 50782262, 859738396, 473042784, 666916276, 100245787, 950414982, 4092375, 174727576, 226392212, 544121758, 44354562, 137031002, 518339167, 864063091, 664252964, 318517040, 524110696, 8787475, 232454851, 262039474, 803053371, 653792635, 108751301, 974759855, 905176849, 529953256, 26185480, 392195875, 914356270, 570892803, 499674755, 45773589, 429664955, 822121439, 319180634, 814454434, 852709549, 554979276, 724364565, 682684317, 206510099, 418666622, 139782935, 350168529, 237394471, 603520948, 124282610, 954285566, 716714831, 341893687, 281511538, 12528208, 31926458, 480664414, 793832377, 29554841, 508959902, 877751144, 115195923, 824580311, 684744586, 519928947, 356064126, 484051551, 526657871, 27499180, 656726752, 253869247, 681392072, 459581044, 78738415, 395149943, 438036986, 630066787, 13134695, 746779719, 916562541, 320200905, 676532176, 467701427, 801481432, 378352200, 125429972, 190782146, 45635975, 223317835, 598339365, 291280067, 912641901, 126299475, 777672938, 204888762, 634906639, 549850831, 731441209, 553241933, 576897442, 987044998, 718961844, 530579231, 183461319, 83610601, 137506922, 88532257, 481184701, 283821935, 915754583, 190244087, 894264950, 748945263, 475021282, 790461523, 913113197, 654124903, 340593951, 402539229, 313040498, 535192699, 390685668, 27799661, 935318347, 933281378, 374072993, 379253978, 974143790, 741014146, 72163582, 229669448, 491059726, 352412470, 389600213, 477460057, 916656810, 493084728, 924702382, 175982552, 52367001, 167667492, 618364111, 420749467, 988024247, 802619293, 275172221, 783309874, 55318712, 323717712, 271365470, 719253837, 772781559, 121676494, 100473970, 880864722, 221641192, 598618497, 93070061, 33904378, 177136413, 744364125, 914045872, 407847825, 651368825, 497748379, 183677015, 788634188, 784812891, 292271179, 922010028, 810681286, 70078394, 909947089, 672266344, 39780096, 866201642, 191872071, 204829346, 740155838, 535930014, 958829419, 316446390, 130987448, 956066885, 542295779, 434318264, 633945380, 258570927, 871891127, 842409765, 254828335, 94208419, 143724127, 829416949, 634725165, 208721346, 618603362, 420499068, 499282937, 731289124, 716903206, 689187129, 976908526, 862069307, 154110741, 195576477, 982338926, 813901982, 35031278, 967325884, 421083267, 832412096, 916169084, 516776429, 831598131, 506607552, 920820602, 759890431, 240492130, 709221415, 286713113, 992765900, 57149169, 741392988, 532151844, 739533404, 285416044, 81191760, 358147503, 326815707, 596426085, 934597597, 298511004, 882115345, 331069788, 116497791, 700101820, 126112762, 21948647, 234419168, 563602777, 575544149, 795346528, 716860266, 208500031, 426250219, 547249506, 395761876, 890354947, 427805237, 616758761, 212696523, 834249622, 791387973, 767421384, 33681131, 298249851, 98350460, 954739937, 348736210, 80558600, 830015574, 141566338, 252660872, 937189240, 11972519, 214515822, 409096220, 954469167, 382519659, 189423731, 703031976, 673019079, 497667946, 282504480, 756198246, 81533378, 200430547, 35093750, 949358692, 794644479, 581871045, 349947208, 784345353, 233015891, 620509882, 654290489, 438383717, 478927941, 91672018, 873084850, 991058414, 88513012, 728726526, 395424153, 925772615, 264460985, 894018905, 485779829, 356332947, 464679936, 677167413, 779523679, 552356164, 774324890, 491145847, 28419849, 967343731, 661187189, 130822180, 14645912, 235832443, 926042841, 871146159, 64539097, 121070718, 307437128, 208854038, 866186858, 775828942, 893993800, 394478828, 469840309, 372445458, 767819887, 452865714, 680802885, 400285326, 76024698, 608956887, 587469953, 13247872, 982282517, 983734957, 959937356, 254298331, 466956040, 656719220, 370657337, 256910500, 621508263, 261565545, 148487563, 671413117, 492784137, 780559249, 384897808, 980642223, 517318877, 859879223, 513656151, 84484185, 922555262, 38415864, 488064893, 369431357, 918375036, 906046057, 9623338, 70787840, 441804268, 474814718, 564203404, 481536431, 802008691, 817296096, 77312750, 776312237, 156914598, 860996657, 350283304, 776316228, 7655797, 421666164, 100458098, 382193582, 379257817, 916944601, 939469887, 1456959, 119123651, 296189398, 786375803, 124278456, 301272588, 284300563, 947044541, 909214766, 710653000, 876929944, 968437527, 458133016, 482556048, 695317157, 757716019, 403294629, 961274438, 742062222, 790127838, 620844609, 614866891, 238126020, 587621429, 174144108, 329949078, 358775485, 541210370, 85799900, 852338545, 688247797, 528885461, 51880910, 617169584, 401802161, 679174488, 919579318, 327408394, 294351542, 935953278, 554517614, 3813015, 220109298, 579319674, 924250750, 428175801, 469953502, 125896854, 377203211, 959541160, 248660627, 559664518, 354945015, 667780890, 860783144, 925979438, 32481023, 798663899, 475734421, 898680391, 721184810, 264528225, 153634558, 614986965, 254999663, 172316691, 211186893, 73611667, 62267308, 820204129, 254333912, 880100249, 448387919, 434117050, 81258799, 711611279, 459349219, 954628587, 160490335, 817234550, 467485646, 581825213, 551025178, 540974055, 682032438, 899158827, 755793616, 56947907, 490977998, 589352142, 299663254, 933928423, 519398543, 838064025, 615036894, 451161817, 121718389, 356481805, 453614193, 954490169, 845525137, 81616210, 58124660, 513054042, 297972839, 299779068, 643857739, 282552838, 776361796, 262089286, 712556832, 488584687, 298047869, 676764184, 401662106, 329616553, 916303764, 976502236, 701256985, 717338088, 249129581, 696611448, 490725341, 311128419, 249205775, 421180069, 239697444, 802122072, 170438607, 437608300, 648887091, 675608063, 87109158, 583422149, 826314663, 50990538, 704081742, 714074289, 544490936, 466984224, 964059456, 421784996, 801767291, 930252818, 904618401, 533444808, 946778842, 561824464, 288633719, 222152600, 77625470, 472609652, 703507670, 220379304, 751955985, 856253845, 278290546, 329189524, 738359131, 574769868, 711170443, 851031980, 622968494, 107060124, 428321183, 383008988, 108046963, 155702247, 346796923, 425477307, 289183252, 83858516, 693108327, 338049480, 291354759, 926840637, 264331806, 247638840, 709693510, 61528290, 540471482, 600411176, 496214446, 471631529, 150618031, 26146757, 395433089, 30488383, 538040980, 188490583, 172917232, 492363139, 969414849, 877376098, 805622788, 857786302, 693553811, 454721266, 380823919, 936864664, 521417436, 817099431, 83994308, 794037729, 410387509, 415538000, 547169065, 174922433, 308760987, 800584536, 715484788, 92396494, 510453197, 466914542, 380202382, 232627891, 904021216, 392914645, 459194483, 221619536, 738861080, 465484182, 112619407, 932177943, 322219343, 996493891, 149029047, 168094788, 498564786, 387572621, 348032105, 716689041, 891765006, 785176825, 401745993, 467791237, 389426836, 669393483, 228682381, 869831738, 383777623, 516564436, 836264603, 490911319, 231280676, 532242812, 842891114, 485420862, 131845466, 752412750, 787614024, 428879296, 36724281, 650798023, 565148490, 430779543, 879868241, 705929309, 91315619, 849945863, 751934185, 887813480, 716265258, 369891931, 628224108, 731981161, 833257395, 668049480, 225286335, 229852277, 504159134, 872686830, 179997452, 512157155, 571303088, 336312895, 85488452, 62761163, 224651052, 993663680, 333462247, 134513630, 420070810, 155252560, 795545157, 657606076, 13213511, 587164424, 33672720, 42869946, 844791388, 38393002, 758911534, 445172099, 598565563, 2912290, 130478161, 765412407, 414574653, 919217810, 282853719, 400330435, 173444888, 871645025, 412502995, 153207118, 820402527, 115405257, 516951070, 40576533, 935044768, 992924440, 955570919, 659635194, 11849008, 644524476, 840479909, 6038268, 284219341, 365659998, 723999039, 623435260, 934051275, 754260566, 458048291, 872221568, 182691824, 31215432, 360710029, 413634254, 438969385, 304214637, 715802403, 882881991, 820453463, 913410412, 25350690, 290064757, 132713376, 665986753, 191175479, 990421936, 231946319, 690709282, 929079010, 238473147, 750528983, 491678603, 704267208, 996904975, 624685370, 773727037, 633674410, 127670947, 865994857, 935354569, 704544619, 748902320, 725017617, 469305965, 464871577, 245007341, 456000749, 243921110, 832487779, 731858314, 157581905, 806086790, 838756906, 792625209, 77400904, 619123997, 813340287, 95319352, 423960519, 375501275, 443182424, 561434924, 34228522, 257918834, 892553726, 817853411, 96708423, 838041044, 11698767, 934554488, 845650563, 477869568, 89180757, 838104911, 244158958, 378168357, 235354327, 975840491, 678283851, 206827798, 988189475, 913256752, 950552157, 520446674, 989827337, 941804601, 501162187, 68123887, 237274303, 792495263, 986644018, 137296193, 528772966, 901320430, 533795718, 590523934, 989135365, 184630240, 437351466, 717270996, 174770060, 387816217, 349942231, 398305247, 532968406, 610687026, 988686182, 413560228, 71210722, 561118314, 662974704, 307321905, 127311873, 140973770, 566134130, 101371515, 416511692, 972201311, 760524353, 648808917, 693308196, 942424426, 72478408, 21123753, 782686820, 775560363, 248722352, 698222891, 531064041, 833843459, 202432608, 686646068, 313352558, 631312360, 574710914, 882969952, 994842893, 282199936, 106172520, 827980900, 327820874, 19967781, 36264527, 623691481, 102581101, 453289507, 531463907, 722169713, 154937370, 505638202, 525560503, 533273062, 499216283, 143071770, 217654972, 789947860, 682664276, 792103564, 156381789, 287876115, 128017152, 595747923, 959554130, 640312418, 22652120, 976513617, 202121655, 601614498, 523061688, 165711862, 817224478, 638062292, 572229812, 71015846, 423876174, 457143249, 69109302, 483064632, 595054183, 697776098, 119447587, 104386391, 748328572, 817124090, 728328891, 946005106, 137125041, 689700710, 96364325, 839161084, 926896205, 822147869, 651577009, 161074377, 802827379, 319706037, 677389112, 155934601, 667593075, 714446594, 974735563, 713450743, 33303116, 241794912, 448556485, 784530550, 897586863, 821151668, 272129833, 447172912, 191216054, 126651671, 542743614, 211815963, 501183846, 738017866, 19604937, 502514391, 746671154, 846293207, 539573967, 786709481, 98031283, 775710818, 532147472, 189007013, 386004597, 674890311, 786576701, 429484566, 618747493, 360440275, 788818393, 909359296, 469307787, 949418679, 523870989, 656431972, 193267204, 433055332, 125313434, 802587301, 105013075, 589864472, 472322030, 432673156, 156259501, 634376262, 660464319, 109407525, 832055637, 255585342, 469849644, 781099796, 528831612, 457794331, 839365918, 501586252, 561739809, 79268546, 855962619, 352092882, 63647910, 476122092, 649642751, 228185366, 556211326, 219461134, 443882777, 293768986, 148695762, 282404945, 309226261, 265109181, 695232709, 365950269, 338719101, 84039131, 755988250, 335007221, 210668458, 411433759, 213092967, 538455438, 450814803, 341712855, 980587780, 907889067, 796923249, 485558346, 35227835, 615755893, 118302509, 226354367, 186213897, 394030218, 945229255, 797256189, 654550956, 913907289, 375358587, 825723506, 704092284, 474967210, 768909475, 326029759, 446157367, 871240791, 864489768, 34315278, 180211163, 918567848, 929989364, 456240139, 56316971, 811948329, 369246725, 121365874, 85278137, 634778135, 760374233, 968129975, 544781188, 768215872, 429796919, 927263012, 55203057, 417783040, 509828398, 293092707, 342517288, 500929136, 226332345, 170784419, 643826980, 654571103, 187786923, 275543438, 169791197, 636884170, 289063239, 492547118, 899220922, 304368987, 675622977, 58799988, 188126619, 819367499, 59734258, 115014796, 82858165, 826332855, 85751819, 724009120, 420881320, 564321918, 808140645, 556952431, 239171047, 259770322, 833465155, 633253778, 336030241, 662320109, 3221065, 475042185, 78047300, 870487772, 261710372, 639332353, 919745737, 35408777, 248590095, 549833040, 74786908, 290009215, 598063670, 877208762, 967065226, 575992209, 920274723, 879041701, 952030226, 460772433, 337498185, 457083644, 411888885, 382780817, 961889391, 987974374, 315631010, 489353618, 226883540, 366820470, 846699493, 642847099, 873902104, 471123748, 632159616, 183152407, 909924598, 544166251, 451529708, 194192174, 286731241, 854787588, 539141794, 300938201, 31963038, 700969263, 273356705, 293498539, 273914358, 722435061, 160677926, 481355490, 141771775, 768025700, 954559339, 953271571, 545713471, 828589433, 6224530, 795811226, 107174785, 897200947, 972007356, 208212359, 595229114, 34492761, 363504929, 610150362, 451152663, 409452973, 776079673, 372473959, 463090321, 398836389, 470996050, 832524921, 65450700, 168283684, 996195462, 452298840, 688156795, 32709952, 24748517, 21167942, 204081425, 679429093, 26442891, 287214782, 217680231, 873016386, 279283408, 322390232, 217045560, 722924468, 293345836, 18754427, 635567199, 789908590, 782755273, 704373123, 267156844, 131929445, 165768890, 435870174, 258738243, 570830007, 257339383, 690383364, 735971309, 668440972, 115816649, 681397934, 366206109, 106801578, 623445333, 925702482, 293328393, 506745495, 491209677, 661396433, 805858221, 729411752, 18102240, 935667426, 930089544, 100030624, 848038920, 214269147, 856730420, 860330251, 822816903, 774399033, 357633447, 63030740, 336198404, 360077845, 770230567, 13039615, 584108228, 62528494, 806993130, 535125131, 201864745, 38437338, 618320769, 628108504, 993652285, 935228346, 526559135, 99911100, 25379427, 787792215, 485008731, 536503010, 928083612, 913027844, 450946625, 562601385, 139859049, 421654676, 664766461, 671932705, 749479525, 375369202, 247437255, 101119732, 684784913, 69723127, 251759726, 819661666, 25611483, 6425277, 146668902, 169987185, 879309793, 766220456, 403014922, 437003965, 122281100, 383775935, 989356566, 386255518, 276418438, 240985552, 381363670, 188596075, 163327758, 215243089, 85191265, 555625466, 91586927, 208523340, 367563964, 331606848, 472530939, 255008366, 105595008, 240642142, 601947775, 344202156, 488390593, 97868832, 88884102, 708409400, 68344890, 206635038, 466156389, 290142786, 507351260, 162567873, 233905652, 949181437, 292311991, 92887598, 565145825, 12328234, 471378983, 84903853, 990035095, 636671971, 147700491, 863951859, 44683069, 291797555, 735061603, 682305062, 198529138, 437791035, 879637384, 100275225, 835116828, 610521686, 337051893, 389319237, 216905148, 331348139, 593625243, 919748745, 153423372, 578473788, 969188920, 886294877, 679575806, 770288304, 922166788, 676176483, 605366466, 141650162, 890687550, 643980768, 249934161, 909458790, 848329724, 302426453, 716733627, 770910080, 790052318, 281435357, 110130871, 512922063, 418277726, 420074603, 885280993, 385211309, 880250525, 973086495, 529635586, 997478945, 985474178, 50937041, 441522811, 741858179, 900589521, 163984401, 520926539, 224450969, 184923152, 383431046, 144351781, 175424179, 824025172, 873700944, 943923068, 164413477, 595684285, 411361477, 409371678, 731516776, 325409897, 173863195, 889011852, 106974074, 588575108, 306246991, 525876069, 100854231, 865998021, 421694468, 589486682, 387925890, 176933632, 381882656, 333800495, 99150795, 754470068, 521862367, 853583017, 629335097, 837262794, 493695246, 168826152, 552747557, 842333923, 10955555, 621977875, 709090405, 812325633, 509950986, 539596555, 689518276, 272658047, 116421634, 629130018, 814621969, 359751612, 962766136, 508103972, 166715451, 165304653, 680508795, 341284460, 664059955, 247574615, 519948762, 42610492, 171646825, 318794210, 795663572, 830139986, 634507675, 30772993, 513979756, 362477108, 44486925, 362339998, 975333700, 946101820, 450727207, 55890732, 28136320, 793818162, 455903476, 832442513, 411216333, 907624076, 977247839, 429522831, 877326859, 900520428, 992814663, 901045807, 733442889, 388514927, 599951793, 99558161, 629085561, 334285094, 41746752, 714099738, 361175720, 729138963, 342056075, 340260008, 853589513, 673133949, 448927161, 286331285, 791175573, 475120250, 586255968, 46459802, 187327216, 855747942, 548527795, 914317231, 136901869, 574108659, 307230967, 668948977, 317611480, 478763334, 466576070, 140358558, 678890764, 124005773, 339978604, 698457441, 981535144, 538903071, 439511035, 321941716, 207975530, 974780566, 949014583, 420904868, 360699473, 203865863, 181619968, 741724082, 151397980, 589495564, 420196724, 896655233, 37788940, 853423696, 400139342, 662358314, 344501703, 19313051, 908146088, 986763147, 907157195, 794508093, 987440237, 510750177, 227968038, 54451587, 383318704, 613424395, 356868083, 798312418, 217649715, 779214564, 180715888, 459948563, 98537255, 764559883, 244937243, 796207990, 877694465, 187680411, 86185946, 170708209, 106400297, 101758267, 780558654, 913987233, 623074015, 414695701, 274205155, 197937537, 478892300, 423593465, 741023439, 35376771, 595887615, 143377168, 627031506, 184663262, 344750727, 804285417, 973688333, 938187000, 143472812, 681075681, 176513811, 788821931, 430369487, 624488808, 449340649, 133442947, 120026367, 307409569, 15110808, 688104549, 620418540, 761310263, 324298562, 686010141, 587893031, 502399959, 827160100, 307539677, 344293292, 201063374, 86265720, 447278288, 667219218, 506586523, 581006289, 830610785, 363199539, 715011865, 355172051, 452901719, 845500332, 572349524, 233227249, 682981442, 101141797, 945585859, 759142260, 655460380, 646237978, 62014568, 542381864, 816885872, 82784420, 466213137, 407664543, 443173258, 963829475, 446854388, 944188137, 106711900, 781834988, 918145673, 842727398, 274422539, 152236406, 636243817, 124069009, 778908769, 851862522, 89514304, 504283870, 874401198, 249398585, 257973735, 881269862, 275009826, 235365588, 473670551, 30258159, 900004235, 690219360, 78287025, 916797612, 949398119, 986664378, 728627648, 188340392, 871103667, 540433963, 135888178, 968959608, 878793292, 697413502, 540662034, 120289793, 540027563, 310974804, 397773155, 758656092, 217452232, 359468994, 348696161, 242091041, 905123879, 545672593, 172430543, 398292631, 164015806, 328592482, 268815388, 469593578, 535993821, 18522775, 344783021, 722899591, 435025296, 164428945, 111029304, 611953709, 94222603, 928623888, 502628146, 541866638, 286471401, 112402837, 785896075, 180622259, 62911176, 459059139, 835737105, 630844898, 51865029, 167251013, 44729274, 637725417, 968448954, 490538625, 377479662, 781038494, 25660107, 283004427, 623705473, 44680414, 19777321, 890788622, 193709645, 272351792, 733545626, 629116475, 451374011, 599165764, 352664940, 62494127, 930521695, 434708175, 954662089, 713479269, 849848140, 413673108, 997639905, 38770391, 514070377, 559166306, 476575434, 129562129, 58433978, 747688928, 85247345, 516878220, 518268079, 454947910, 585023987, 185304275, 871149539, 994207687, 403923540, 137079792, 895505113, 531882398, 9154681, 371804183, 156694144, 762712051, 790784483, 200047014, 562603146, 39402117, 553598117, 853287858, 614680911, 929000063, 912196946, 659326934, 872596300, 108750028, 418661395, 791426798, 665665313, 38313888, 180332208, 878741756, 8118643, 530861006, 209450104, 621078342, 759178890, 294005767, 957703505, 381343304, 749198901, 535831500, 96513052, 865495569, 478889577, 826231665, 190883805, 81186632, 247807638, 468427089, 540840517, 861421380, 330943646, 957391092, 187501714, 639382606, 234906284, 978408659, 425394184, 8071744, 562127602, 592592867, 787485766, 714933642, 356568226, 7506140, 42403547, 549272538, 383149908, 327074780, 386141803, 144996770, 803134588, 766997687, 945777880, 42674510, 926367014, 373504334, 915599544, 38460597, 446445462, 792467873, 569617903, 38546781, 843922964, 635457246, 742550217, 731018534, 92117555, 673674202, 139653548, 66810205, 282113724, 315774958, 297766918, 858607934, 8504760, 206842332, 526450397, 752276360, 645974487, 99183736, 416974832, 810449471, 616582437, 669812473, 24552842, 98108049, 569386652, 246806476, 374751321, 611979279, 670461003, 703761855, 333650518, 421155558, 829199441, 614530607, 985247950, 241285062, 400761415, 934223657, 839306225, 759161635, 978247007, 770735143, 670969738, 653699922, 16664194, 442566609, 667536906, 476536969, 351853371, 185982584, 839689475, 939927980, 270006536, 132924170, 516273975, 335284117, 214627787, 97662169, 313546430, 314665095, 197551793, 680540718, 573897521, 70344387, 525706098, 827902601, 624036471, 383907933, 364991988, 630890904, 954592846, 453729640, 339496826, 538862767, 944908617, 202139603, 440539376, 467662899, 213082828, 356150121, 695309905, 88091267, 693004209, 641630206, 315622923, 651941461, 638168548, 663022326, 835338642, 699654436, 805325609, 322453894, 864187717, 717884130, 903810129, 523936908, 764116872, 904572820, 739365368, 98670736, 479056072, 568605872, 159933152, 628092432, 964121435, 971690800, 436749224, 26428634, 50718733, 617714589, 77779308, 173058146, 187694340, 904493570, 262091440, 104246361, 32415915, 362890376, 95100880, 563052197, 930563670, 220230810, 383454239, 95494752, 553042284, 883739285, 952981538, 520223399, 252374125, 528567522, 466435947, 514359509, 950061486, 446626983, 7089685, 532575016, 809167840, 75318249, 919363086, 813739209, 896314756, 36823111, 114254456, 915853945, 407758907, 143782043, 793426357, 535363257, 337797094, 454876306, 214434596, 789065420, 670971464, 213638622, 874292602, 702292668, 671688023, 690672453, 840361284, 736295080, 864147838, 501265971, 18956078, 479263395, 208228205, 370710365, 575375738, 162914563, 698072055, 512977843, 16976227, 390690955, 785716542, 1140312, 976035546, 941144837, 168644833, 901269567, 991997187, 210672986, 633230536, 553018208, 510682767, 760250034, 952132588, 377776054, 615384332, 192461022, 412503446, 257333794, 293162977, 541897873, 665777401, 665111888, 671790569, 364144796, 967421168, 512118546, 483785832, 683623789, 843443030, 948189737, 639776275, 63985105, 691713312, 805200323, 386134395, 912739240, 673166364, 110541520, 242270560, 955202082, 436227462, 277625266, 959148158, 586149252, 958576913, 235164190, 224157792, 440243691, 76621364, 12479290, 664815559, 813266023, 694483564, 722444986, 689911403, 708481260, 96192064, 892432256, 196852793, 759960740, 497734439, 122902177, 361185801, 612879452, 237985314, 257119292, 857924927, 116144304, 468818202, 618560287, 406066790, 324294636, 818173397, 408144715, 551973393, 418631114, 282270075, 944706957, 692688623, 177335195, 967050179, 13683178, 289139002, 757153818, 6191609, 316980614, 134070139, 281514265, 463841842, 461764110, 162336797, 160424569, 892466450, 937025911, 271552615, 153192150, 709055503, 992166486, 53676242, 475922941, 334821416, 408172256, 482326707, 510543603, 215409406, 136113689, 276686878, 747258617, 63128999, 513201025, 611357914, 44650280, 546177989, 900930584, 111141125, 241706621, 24069621, 2033949, 670333178, 339387875, 276895464, 219557013, 377886559, 35636058, 138684085, 977759263, 276055927, 83146771, 181466577, 586615151, 508757819, 838960644, 848897799, 987429562, 814816063, 434775108, 486805627, 901642078, 837434682, 568834165, 564085526, 441904833, 574163056, 42795809, 295861173, 65315763, 836939794, 574619030, 836081181, 883614369, 452107193, 216452633, 368084015, 65655811, 77580935, 460980448, 238808856, 125873097, 118861280, 5374756, 420768156, 975306034, 658076922, 698581433, 20305148, 921202839, 417255187, 712371769, 475753926, 607016659, 208957309, 461972270, 890146165, 310669128, 476203270, 848134778, 875165059, 269551972, 527872355, 16944336, 497556689, 338989073, 632217660, 850476997, 617793137, 145872261, 167497040, 507605611, 823572637, 951023632, 93089555, 132862169, 862981744, 433094440, 940735622, 129493824, 208324422, 136659048, 203543412, 466418025, 691690535, 405250325, 298304940, 527772023, 37125900, 149231270, 60986733, 171685200, 180023381, 907899765, 835975113, 223677287, 726731769, 964098419, 609912187, 392356318, 87427754, 101071322, 629025163, 117885245, 590708906, 328847949, 520128908, 404442726, 580388479, 911463296, 922856533, 533179046, 501365064, 353875685, 492155311, 912724262, 548039836, 842602983, 737568717, 318130294, 303274840, 992725316, 843051108, 54034634, 923979487, 705765036, 811910350, 840600724, 384252941, 166685811, 909197781, 99112191, 127799424, 742592856, 968024089, 736939479, 543322669, 48855888, 788295398, 427431347, 677555701, 923504210, 537060550, 523211122, 23985247, 586458655, 457254066, 893372943, 700152132, 739531166, 45904730, 54123127, 916042722, 851586820, 465659068, 651146116, 534482593, 260926820, 61781956, 490872389, 577487034, 690717759, 229966902, 398884109, 195886757, 255929502, 156589692, 554653070, 304979878, 299143461, 351696910, 767854318, 552596379, 184467030, 492612881, 278815150, 305206799, 105331684, 653418189, 425444827, 340857074, 281243931, 17082301, 158856171, 780445885, 211160686, 595998461, 881942570, 475933886, 241079928, 20886539, 719278216, 614395983, 648341394, 105345861, 794616121, 994205952, 627897545, 50714456, 11965472, 635051662, 905677612, 616061332, 685429660, 543742574, 84319467, 843021551, 562636008, 478239558, 680931897, 457088943, 462254530, 515157094, 863729039, 495653364, 571039049, 82166414, 531458589, 574053918, 545711741, 30922289, 584448998, 659040254, 849334987, 65042771, 782094846, 342440402, 884464429, 342285886, 579646744, 573548, 840240468, 483498672, 653327427, 909488454, 281871374, 726238845, 553011301, 40041876, 747339987, 623895369, 839263852, 739124955, 728871220, 162114481, 808463245, 603308853, 953174982, 932393623, 933011718, 733573949, 336238011, 392324076, 42984483, 205887927, 243788112, 920585637, 472842536, 399308536, 193325325, 795694951, 577035047, 31185985, 32271103, 478018371, 46235443, 161188091, 252710958, 471606155, 852988790, 856164213, 261632795, 177719305, 38338399, 402509637, 969367904, 834152735, 66694088, 546490370, 344340916, 229996729, 703345365, 271238189, 277604501, 169508644, 18697593, 589639073, 842795914, 375838048, 488071695, 356906642, 797068447, 872696346, 19640488, 39656132, 524499898, 286562376, 530138833, 529519019, 256246978, 224171753, 982741754, 454414383, 325929538, 673361040, 266768340, 708998031, 144669929, 412628731, 925184897, 145692923, 441679527, 491457425, 821293285, 682553585, 102687487, 746211770, 911746071, 446314495, 457154232, 37660008, 142541984, 745214008, 479041666, 559696863, 649801948, 263553218, 42953594, 737391787, 569498224, 964599086, 197502025, 747794014, 175506564, 903799602, 240075777, 924005182, 617410682, 365958374, 277437243, 618184396, 34732255, 271938477, 423939921, 387219346, 621680439, 580886712, 863603961, 511837627, 215987410, 175649319, 200132118, 161594754, 170496207, 171771615, 348042998, 537227810, 496357969, 488138289, 499987947, 711519082, 464232646, 334479001, 424989750, 839975949, 154638457, 151000242, 213847755, 711292058, 567393877, 965126624, 702781156, 611197870, 567112308, 216116951, 687876461, 186847750, 608520166, 700112587, 112003489, 975948010, 357297650, 747573730, 917270048, 577302003, 597468686, 463023648, 407317915, 581654034, 295641574, 670352699, 673551745, 644542313, 97137504, 105715704, 7693737, 196685331, 503375863, 678269729, 92594379, 188110722, 358741325, 562616795, 469312313, 170455130, 502918511, 895156619, 387657986, 216233607, 133908502, 59238313, 629517666, 513620799, 147090546, 578827177, 526231196, 538818330, 115071375, 857558531, 742149129, 208987557, 238588524, 775588797, 561048920, 334022514, 231341338, 964361740, 932787923, 763845565, 532658257, 809376300, 495047226, 394564424, 849976505, 32697161, 55549731, 958606132, 689295682, 942001834, 671187135, 754144122, 529984238, 924818941, 141537498, 60962682, 828858889, 920549848, 830772301, 804445022, 339107343, 627845244, 317197895, 911362864, 772952749, 543326850, 520732558, 504690170, 492071011, 500099313, 949506150, 716084397, 571456853, 407985680, 899431821, 166646875, 693431229, 53106786, 894538489, 159077133, 293224366, 204198544, 694637751, 1782490, 798981851, 904317996, 877305846, 170337790, 376369792, 300833231, 139668557, 543989833, 644479249, 622258788, 450692951, 201791495, 425666955, 964809189, 526014855, 333061178, 702838638, 627192765, 181541954, 964147496, 893024696, 282837237, 602216867, 453529401, 416565624, 899943478, 974728421, 55784462, 516269, 92364448, 981639016, 373044212, 540319200, 952305647, 523850372, 419411939, 615938190, 200855434, 192274936, 133846781, 669240518, 287422916, 255991470, 675878484, 938831191, 777594139, 332841653, 321480413, 387053759, 169525154, 275165268, 879573694, 758431066, 923311498, 907602165, 97130602, 288693361, 362125318, 927889343, 855880360, 606420109, 421292364, 393121946, 615802713, 187475516, 107457080, 713183189, 865111159, 49985581, 486816259, 628477652, 280906954, 781860409, 364200085, 465442321, 545075984, 543886619, 803333491, 794656290, 641553340, 163638674, 15844931, 582695550, 57792730, 124325857, 180896528, 289595703, 378937261, 526247606, 323766544, 827784888, 885482976, 596474681, 619235220, 206389786, 217080550, 841124191, 392138867, 719742449, 729242435, 558621658, 152686207, 536975793, 277647347, 738104266, 912966635, 225058960, 721867639, 944739152, 54371179, 109774262, 544427514, 748665679, 16676391, 876439945, 238200118, 38086185, 578168449, 887047362, 909454392, 857278239, 171298684, 882094671, 249178401, 727106370, 42281941, 700811582, 70804240, 892137899, 262409521, 314250149, 164516856, 231707145, 403322444, 26578977, 137281825, 710481198, 909342558, 843242938, 241916189, 941928915, 515459071, 296660300, 274893369, 215652305, 517864806, 248196426, 73051430, 387513344, 192709819, 999038705, 444988370, 315056214, 779020211, 574234783, 801549459, 571614345, 203810805, 22067865, 357176261, 51624199, 475314386, 492934588, 312387109, 956069660, 167191543, 814221837, 428181676, 813813641, 692700998, 885146730, 497477584, 771209185, 769672053, 943640467, 422049880, 8166387, 144071157, 712122089, 428134652, 996682950, 610295392, 11449564, 229463642, 298071971, 794035438, 325145849, 934274942, 429581097, 765500374, 447460691, 652062385, 862651925, 66587892, 51366049, 996194151, 829909227, 397870340, 508703487, 383967602, 705202767, 51719691, 849443271, 256734599, 593418845, 358167646, 710844184, 633935131, 821295524, 660473185, 191154226, 705583180, 649952674, 643409099, 547203014, 38597166, 544488564, 504138314, 416271498, 252795865, 312901648, 575774107, 3828794, 424850128, 72997672, 8532913, 435995251, 863730491, 883224721, 95296476, 877631371, 350355084, 994140496, 642757524, 755526044, 973436934, 825138204, 532493786, 854111739, 770310875, 329004771, 131352650, 28032416, 24482178, 697723310, 535289716, 798465988, 967346905, 388813747, 770880011, 490224355, 281919516, 982981851, 244024512, 872097397, 519448605, 128916359, 339114384, 487550442, 638124281, 854674609, 76041989, 781279832, 519218702, 232662812, 388837678, 135439941, 87092666, 767282990, 97651678, 766136790, 987342206, 165716370, 574048967, 173267713, 137638958, 169862899, 598415538, 953703835, 55201691, 437912217, 811661738, 290159340, 71243031, 19811541, 422869858, 158739031, 699551385, 674563661, 872473268, 578339553, 774058843, 822267218, 135691519, 863981553, 570123713, 754411196, 979632395, 658378112, 302960373, 540511194, 23743763, 853054676, 23316229, 85494958, 337371784, 3303379, 380211156, 879633311, 252240431, 198324599, 804349313, 579772152, 933920955, 701666603, 896146672, 742193299, 721317928, 980950804, 942190731, 619435573, 951464379, 683002249, 66397949, 964800454, 255491445, 251481889, 72926474, 401990749, 16147204, 128664366, 968448338, 892994461, 685120593, 888586694, 828615719, 771986912, 699931807, 130223076, 205345656, 486492247, 793068177, 744887115, 23373833, 521609900, 630283475, 239381219, 148945759, 652553768, 384695381, 76410096, 439613585, 116293204, 893097062, 671797526, 559692730, 106118216, 253208749, 840787382, 584324576, 109882531, 744772066, 965821295, 958125497, 639765378, 854252127, 353767454, 71154219, 261001628, 445668931, 471849882, 947075382, 161131719, 911457694, 373776233, 527385614, 890618779, 998729426, 388088769, 616213365, 91827479, 573292220, 320891800, 57214091, 693135527, 642022667, 682907114, 444462650, 271748110, 703625472, 986512877, 141574511, 310019269, 404500548, 491405546, 830657411, 192762859, 473380276, 334468282, 176477825, 616041326, 251692895, 897327486, 475849746, 286184737, 358869759, 916311503, 372214435, 241067600, 420974256, 992024710, 669125802, 887301199, 386324526, 207312838, 689587193, 219795312, 644637052, 442063803, 487298461, 803385223, 942058159, 264462202, 983546900, 811673194, 830995380, 273268101, 182185290, 586669378, 425076991, 556480783, 787907006, 884882496, 577674966, 992467307, 620558966, 797232951, 980439686, 117525297, 657604150, 642535044, 412360169, 126747265, 879047479, 402619496, 336117928, 581552705, 497351069, 911702844, 2057658, 811829527, 93137978, 67749751, 220579101, 289819696, 73414553, 616104959, 707151512, 297486800, 711676927, 108720652, 824695548, 112213701, 208346433, 172914732, 287709512, 705616061, 228055102, 115850219, 13017878, 413622925, 740842844, 858234122, 25535891, 393419522, 904678570, 859820259, 673762245, 643463919, 699414796, 294540779, 374113268, 194912514, 533740615, 996836580, 204595742, 104878149, 550127469, 201312643, 653615212, 748673664, 612185639, 262811721, 872364838, 499119915, 338827429, 42528237, 51082089, 642407015, 898466798, 799628134, 44828523, 304267310, 195325482, 558471436, 735475066, 271280981, 393052951, 131948653, 932597088, 923122865, 183950556, 312460212, 415438966, 710646663, 615462543, 852232865, 596950847, 531925377, 967926728, 612521585, 410498078, 198622289, 732196545, 960479074, 70825295, 278701530, 15118102, 336209173, 672949353, 225636065, 933061244, 185006178, 470786479, 651861298, 453237366, 535894388, 190609735, 618151090, 941483477, 802408310, 666293154, 986697604, 167555482, 756175351, 783016410, 334619546, 298303083, 389034042, 510813425, 102372837, 372050496, 268346617, 888684233, 511466864, 330723533, 801940023, 852913957, 927784526, 922572004, 897457993, 101886103, 781331239, 435734887, 191261161, 781282816, 126213642, 795692605, 782173337, 479625132, 367749463, 291398424, 725330704, 324911728, 467392326, 652057351, 912142883, 388637314, 184344520, 325234170, 212443695, 225289743, 211261276, 835598193, 194576367, 431073784, 266996321, 119113863, 680028321, 17442043, 450484345, 467278657, 875772739, 930217166, 810984637, 697545879, 333373148, 104037288, 147396570, 61311230, 594174106, 45928872, 562078999, 435621310, 683594762, 254564888, 187688010, 197855843, 20285429, 906985481, 373368102, 759471660, 558168297, 622805208, 454430905, 469509557, 285887140, 408723396, 726628940, 103133008, 102539582, 697333038, 102151737, 125118053, 992363783, 846367604, 143105301, 430129285, 997708497, 114319657, 492057562, 611935769, 59847535, 456535574, 930408220, 974310721, 501125541, 964000378, 512448382, 626981387, 260128946, 797629713, 361622266, 5909026, 999422221, 576215674, 671149426, 724280309, 340075159, 932902623, 901092639, 897853181, 760468043, 875553241, 736281344, 946174836, 65130418, 300636388, 478019324, 589556362, 168001393, 899983754, 243924386, 946117138, 246899459, 389813433, 145502041, 97252856, 271190419, 42453092, 793702207, 688388228, 461877404, 793153865, 480702996, 262150883, 286061157, 44546660, 232057617, 146494907, 412034503, 292867368, 427469926, 762515305, 932982320, 259014176, 19980860, 973583021, 842042647, 471403714, 483438583, 920460190, 142721205, 944425681, 991391971, 791171386, 310874482, 533414448, 703941988, 634262878, 305748229, 970753216, 45447909, 33064018, 550923388, 590054924, 222036896, 292568785, 985020589, 470678552, 299062560, 111887459, 941437539, 950992385, 42412256, 168488631, 386549325, 743043916, 31635899, 963461494, 242111356, 871667535, 40049816, 478206881, 239556250, 797117073, 659780339, 568611719, 828498817, 857696017, 305049086, 409797324, 361929037, 153920519, 877877485, 759933952, 672972217, 505841239, 47294425, 89185316, 566634188, 812434890, 653246171, 712292314, 690815767, 808225669, 170977580, 868025440, 304461191, 648881388, 792483224, 606430274, 199946391, 317309123, 519327574, 585272936, 187354928, 337691462, 551010841, 940320937, 208673977, 126939957, 135138938, 567096644, 633221472, 721605616, 93906439, 875348163, 562306156, 774306611, 405609305, 216433975, 584333463, 237597000, 103716686, 207111498, 797964130, 606803935, 561925061, 736154123, 43072834, 635777801, 261911303, 563553923, 2743470, 708475215, 418113744, 266429444, 265724394, 152695767, 708774127, 638030237, 679561514, 405432359, 293833668, 138977136, 398893572, 985549285, 194245117, 700946080, 723926972, 46284155, 598679148, 2476156, 754462969, 30549998, 187116440, 174159601, 620008630, 240015176, 16044992, 710672239, 683615516, 283391334, 928225611, 896353220, 583963438, 302766567, 612320608, 470834019, 699990358, 141066015, 717993424, 939098960, 529261407, 795615926, 510263051, 820930451, 810634249, 739913747, 673556647, 502064056, 690603371, 156936260, 922879980, 432958771, 433141733, 105360318, 22337468, 692644007, 555819134, 47139922, 98422979, 414329170, 282302501, 123449688, 641172423, 101323749, 542821350, 64922671, 904065950, 442703928, 790223573, 115124191, 459027780, 52023842, 432861497, 347267220, 871748824, 26345040, 588357627, 27942653, 683870853, 855766141, 580297318, 373175417, 750028534, 603873982, 976672331, 938914081, 45632328, 528987096, 309572911, 733902097, 25594077, 347844683, 834127886, 640125677, 749385982, 296511792, 284349641, 472062449, 856180710, 98249532, 914702275, 174400365, 277590703, 469579240, 178875769, 795962270, 975584957, 430226765, 40507460, 29143593, 60730283, 1299511, 628474795, 447288855, 465329193, 122615316, 386072876, 923298507, 190658909, 13119769, 888490648, 257556540, 561341958, 339394710, 295753954, 118485507, 202387935, 690807430, 969804689, 558138098, 176688191, 767937348, 918612975, 921183393, 913051011, 786791575, 990585885, 603824399, 132073529, 339658124, 564826620, 984122679, 470971076, 649293664, 864579736, 5093252, 720418591, 265465508, 120628545, 774313336, 396087171, 318857761, 813188721, 45179827, 687577319, 89998955, 58574170, 774875214, 739263246, 29384005, 37702632, 58537191, 107620223, 639264915, 281312964, 909458555, 947241030, 748937888, 175857638, 176427891, 110304581, 180301058, 3661706, 33639313, 84524157, 396614043, 91970406, 432746632, 617107160, 882939726, 622212814, 970011713, 782416966, 597698336, 567423121, 405914026, 862770284, 390125804, 973966271, 309845983, 254203688, 441590872, 963165537, 748116026, 507366211, 99656805, 427548474, 290329375, 576179823, 378502933, 612246305, 397197886, 127842377, 177988780, 177507337, 185825839, 121744503, 832622252, 904950004, 565038994, 41467535, 283225272, 160553908, 384274043, 933122299, 810965893, 606910257, 489262321, 729258533, 123754693, 538230679, 134769669, 545270361, 455715563, 896887510, 192683218, 767688662, 636466895, 891390597, 63379606, 493509559, 36140688, 336546093, 401483149, 106730693, 440030626, 701725941, 890903593, 344852305, 991021987, 420316086, 513578355, 424637310, 982385452, 140035148, 632786899, 179327061, 864825647, 186672638, 773575214, 930524785, 252908514, 516572888, 649008976, 235188047, 177859665, 67103358, 389556595, 975020481, 410671543, 119903504, 455270180, 59672004, 799464605, 281870832, 28302160, 855967333, 342796966, 170854259, 261109786, 685818346, 732898664, 690516263, 868175314, 596310147, 913242241, 854232764, 134069343, 727604274, 202908183, 446392695, 19606332, 846306897, 465972730, 892902621, 161656885, 527664776, 395935107, 182115395, 871903073, 231094142, 486318713, 821001808, 838195046, 834823059, 217004377, 924106551, 989063820, 768968652, 606096321, 146175990, 614461446, 792471439, 870600162, 756806650, 384666549, 512794389, 418691417, 306837201, 76286206, 701789843, 767408172, 411864588, 730582386, 412787719, 497469416, 697515168, 595095072, 416537109, 469458676, 385469531, 695487626, 377557857, 891705906, 970962357, 341929442, 642202624, 567891479, 431108097, 593678314, 917889312, 705953653, 382129331, 547039650, 35017396, 814175751, 295723452, 613616995, 20099072, 574186044, 170487707, 984972517, 488343722, 940824309, 492591919, 209445780, 413737042, 597107403, 34752340, 877976842, 730171682, 184852249, 820098056, 337951794, 131254735, 802740879, 439948946, 523005955, 288401562, 428691835, 200954461, 25827851, 526115199, 391665759, 197785840, 424821590, 546009823, 724127312, 113823477, 788940310, 330958005, 283516308, 102242832, 636516458, 463602609, 345554800, 109281356, 277204845, 461322007, 787979587, 679689355, 952493533, 882292877, 955139649, 29529529, 567783705, 717792082, 300802428, 919410685, 366629501, 331111067, 509399791, 815963447, 599467467, 878893565, 419423586, 471358511, 237504256, 819450587, 153136994, 916585026, 453448725, 780363409, 902060263, 753605562, 882142201, 180183209, 233212869, 755392259, 754405153, 787496825, 75789668, 86828644, 925711873, 198304261, 631189285, 202737017, 581323839, 314289139, 8190635, 362488030, 981011289, 561221671, 146569183, 749517803, 300398388, 649406309, 870736762, 139809449, 725368630, 41218295, 168306679, 217806732, 733359658, 38321435, 219408894, 773653719, 343162300, 138846111, 523979643, 771173464, 288562185, 463108743, 776060174, 731563636, 968532695, 303541014, 996176357, 511658734, 12388040, 497463648, 673837929, 270458666, 987639300, 3189899, 601567436, 506409190, 484397217, 59262287, 576643563, 595162455, 249889979, 185105863, 312026612, 675098123, 53914180, 77017127, 649144729, 564024223, 975088830, 670669143, 284913492, 680514905, 470411125, 121706766, 248666714, 416157673, 719805490, 266640447, 9142116, 471879490, 433225354, 768203371, 106906336, 95002365, 915692307, 182623884, 122999673, 850067910, 588975298, 562663716, 381679088, 318782017, 980636706, 344852410, 294544256, 749992337, 47947646, 567838636, 159758838, 325507522, 13727067, 84847987, 802830161, 980431195, 389263239, 228414775, 106026058, 979527013, 741236442, 242089696, 293280297, 111329394, 957440228, 431939072, 688756619, 338330305, 358807818, 739951106, 920145848, 800071443, 446797790, 856931945, 930703346, 651895374, 691955141, 15353968, 568131368, 82116936, 568034940, 449591222, 790583271, 868405479, 447946956, 637593212, 4013086, 380484775, 858868169, 656647641, 550119671, 489856533, 802014694, 600495273, 813058922, 843527285, 288142472, 750286132, 810334536, 145025198, 796644276, 132330164, 621451686, 55041365, 121840625, 942700715, 324853889, 759068246, 500930641, 579526824, 526176032, 976256307, 911675065, 680466653, 698406177, 107313220, 460714315, 482544776, 563034282, 625815097, 355570502, 13418757, 240018175, 627251813, 871476826, 531020103, 839340558, 369871222, 970316765, 2236561, 721965137, 589809684, 778062565, 443280537, 475583499, 509039217, 43985312, 114956511, 596656795, 331526489, 2366185, 283163991, 897992156, 78210158, 625085925, 768980660, 567786546, 792170691, 709386877, 698003959, 567176221, 668051681, 900821921, 383802451, 470576833, 392244288, 265876872, 10841287, 671261813, 48743517, 799882228, 204731129, 885433590, 490002786, 156047812, 311460050, 309670284, 928783811, 206122353, 170302832, 659466240, 957262431, 961188298, 402878680, 632465474, 715240529, 364562883, 84310006, 903919629, 464845867, 369877798, 151434961, 483594500, 545947299, 629165037, 544185109, 246318437, 661583067, 438334121, 38558059, 761458875, 710009127, 739121255, 357455242, 882979048, 642198287, 410674759, 815635675, 495148606, 745945399, 605386386, 724496245, 924778150, 336825138, 364141636, 817823474, 39482370, 59276128, 935253335, 980117934, 659324746, 56393104, 234622397, 826091158, 757363322, 796753552, 726709478, 936960829, 955100955, 684136815, 135144330, 352822050, 28763099, 179585272, 407092721, 351416276, 478117318, 66250121, 259570192, 768019885, 796875393, 974014516, 876424606, 986015940, 847062398, 958197005, 755523137, 211105823, 671074569, 276942736, 566496471, 693004857, 946339808, 153413776, 246413837, 362829435, 15041915, 136912476, 385168602, 48259886, 944356214, 753616685, 903438269, 219865223, 337133761, 644404767, 514856961, 379089831, 349820651, 286310283, 539325945, 328532268, 23584006, 283676605, 156674674, 18452770, 366167387, 628369239, 331644284, 813881022, 164060800, 249257716, 694580592, 89785337, 117350824, 486395368, 398161964, 822630353, 797168393, 797913789, 344421667, 182004253, 507167506, 442667278, 992312313, 112139967, 620625210, 698427418, 720770876, 760800951, 419296669, 502479415, 659959438, 517332183, 627717357, 857331941, 774574070, 276690402, 568068206, 643371068, 984177122, 743945614, 789281903, 69683635, 579208539, 862603053, 881819135, 762424201, 133161271, 560261428, 744537248, 637067597, 641268417, 646781334, 543275334, 193559960, 779872263, 477597649, 224878155, 339153109, 114979427, 31341505, 705028754, 906476107, 158822327, 980285697, 132563926, 136985099, 315426872, 381862479, 194791527, 956782923, 888128329, 679110085, 282542795, 633208856, 341316673, 382715105, 794250114, 429568544, 164496257, 258232919, 195789832, 867640229, 917772949, 243596237, 861442884, 223432920, 754117646, 233704458, 358774681, 432659212, 663138747, 770072067, 93392192, 905577846, 889053919, 517024047, 287468451, 471198888, 259203476, 159380811, 788718226, 289323682, 120228767, 423891804, 5642756, 922182092, 96796750, 664861962, 313204607, 600185832, 85141697, 886365782, 619314977, 712370399, 531402261, 657510674, 451988200, 909710802, 24408463, 628996106, 776658265, 116173753, 652168710, 763221739, 16369198, 660952623, 606465063, 272738169, 920042100, 691876796, 967947104, 375388792, 612724912, 252822037, 400165568, 335508669, 241429745, 517623771, 132138225, 60014406, 370722653, 33279050, 539978266, 72263316, 213857752, 244549587, 506392811, 977376664, 553879949, 257570238, 130152211, 872765227, 148783439, 740072107, 839018867, 221329179, 169196146, 568973677, 256589502, 220651505, 939608334, 490133986, 208674268, 687055310, 101461074, 494015970, 478374743, 173889792, 443162338, 624587032, 558398316, 430105946, 119898962, 716937587, 198902422, 641657050, 738596308, 123257045, 108574887, 990769445, 588655333, 884604777, 393026293, 561932388, 924032586, 38038165, 397185332, 974349070, 937804937, 674357147, 760654994, 272726656, 911981376, 645210756, 904117268, 149188059, 305767238, 477815004, 530821867, 248209800, 683207566, 202277902, 461605704, 201734322, 855836681, 86940338, 747128455, 133750794, 729313337, 692560018, 399395014, 601323983, 805422151, 825647617, 986077074, 724721228, 886983003, 854647188, 137088128, 236190729, 895368532, 297310414, 386012943, 987053550, 395793650, 353844264, 373967426, 368374563, 40320203, 1304478, 576583576, 389531050, 399157187, 562093966, 139346053, 148720983, 897408406, 105539702, 302518414, 832069887, 277105501, 198393604, 399867682, 424770034, 609161390, 960161291, 953893576, 369878778, 116481174, 114046612, 702221785, 13385542, 704047417, 314961564, 980653684, 596066018, 246020963, 887958120, 568540022, 405565996, 859348351, 435337214, 346737490, 809013045, 811179794, 2617195, 72586131, 499834418, 321449248, 141509095, 537779268, 463581592, 910656117, 998462647, 996351965, 592594978, 160664796, 544533809, 276446784, 462802892, 433054989, 724898840, 85692447, 729260681, 409961628, 746895365, 450446789, 881040567, 722613851, 630386019, 94039585, 944891207, 398130030, 682995567, 367817146, 792781949, 102273830, 539312204, 331371368, 172835541, 883077955, 763020047, 784385023, 412193453, 297501645, 66282355, 358942021, 659153754, 921888506, 522455872, 548405040, 541662524, 836511894, 893644161, 142310550, 813118791, 456081713, 577134183, 467631175, 102154198, 124586569, 193726182, 924330731, 143138720, 446505563, 265306237, 131294605, 424474886, 589379471, 948645380, 469169534, 784306614, 156813266, 763730026, 857065413, 159485511, 433576361, 381750993, 398522565, 448390460, 543278364, 611869209, 227905191, 794125499, 359938849, 164661786, 716607737, 655446089, 713273694, 130143360, 488653297, 38558440, 616876776, 486240021, 506973866, 143376539, 476507647, 577934922, 544776470, 364712218, 714421114, 252529012, 948550585, 413634152, 985626729, 909929633, 814558983, 287151392, 124706403, 782858808, 66785087, 630675230, 217565655, 365073851, 263536845, 941372026, 196945967, 335312844, 561238101, 10207063, 301416583, 639644426, 709203664, 677388652, 118826182, 469784456, 953511360, 812637751, 403262451, 284887214, 324508775, 476667689, 417698125, 289272662, 937532146, 119397016, 171505574, 79945350, 937430742, 158299929, 252702951, 282839320, 32513954, 271329808, 618673645, 826648750, 560798105, 82865562, 629396901, 789109241, 690062332, 507366224, 417375135, 238346833, 552338806, 612464454, 834871501, 947409330, 450478343, 453619157, 255511334, 872962656, 649020174, 216851134, 902575043, 151898934, 962647908, 281274393, 94049845, 990359823, 548348429, 967816935, 204398871, 425481996, 162202705, 405722122, 953376929, 806652644, 913697044, 752590217, 802476744, 668091182, 341815893, 646651686, 76489449, 559977031, 752409332, 988194224, 771846726, 290027817, 3782019, 697895763, 306289108, 713005926, 415750382, 811540103, 1171407, 682739375, 458361602, 114666538, 454027964, 380401073, 727479619, 355551937, 865299354, 661395338, 413675003, 261301252, 537080286, 617168246, 282139395, 828024664, 794002470, 550946954, 995994251, 360206226, 209947941, 542394122, 328651734, 865261275, 630487368, 539068343, 508372767, 598901797, 40341750, 133931993, 754526374, 781145615, 381562603, 76559505, 85655586, 59058562, 646792669, 175931740, 210458636, 600754749, 704250034, 131062778, 972073767, 869888901, 957436749, 484864151, 577429563, 533728949, 169626743, 753793696, 532601608, 356187773, 810938869, 465707150, 150205581, 485820466, 780802277, 212492666, 956883304, 170512998, 867751977, 54339086, 293186518, 204416850, 953119079, 478278168, 687287622, 714948996, 928832814, 10438071, 647913500, 172177082, 156829242, 627650401, 39560196, 473345998, 496565862, 957310889, 733170016, 251044400, 623399045, 215767644, 761253428, 69193187, 456318677, 562776235, 175716916, 572481624, 104479390, 499699595, 188588151, 451702022, 806443970, 921385339, 328803284, 934677442, 364213209, 638239725, 669351828, 281122124, 526646052, 866488167, 604666657, 488802036, 630292935, 214927688, 837071940, 141538293, 843556781, 92078948, 654786466, 630701352, 224122555, 647063046, 312941802, 174748163, 540404840, 988584405, 618493780, 236447486, 319638949, 376789905, 683695868, 107598582, 690992557, 384663682, 750658989, 355604451, 611953574, 979598008, 441611218, 549236603, 591668355, 576280797, 475665659, 592672758, 822081013, 852153879, 851267606, 810810894, 286985531, 457437970, 751654650, 735968375, 856134031, 185864122, 62601430, 907281458, 593516140, 167388163, 89107395, 640699799, 535847812, 13452641, 154372161, 146226393, 369492725, 710231427, 235635757, 441060837, 704044591, 951301822, 267689437, 695941550, 81858075, 825406743, 737687142, 875980513, 816835828, 72143987, 273058407, 47697397, 291384580, 124238055, 948872597, 312833850, 725456692, 290012009, 682647339, 264699913, 562895877, 124241422, 59071704, 928558413, 691477889, 118448918, 43867023, 414816189, 442303356, 358842866, 411528257, 50053583, 288412163, 234320422, 237941954, 397234704, 732138091, 472236888, 976425300, 831639818, 162906638, 843496770, 45372721, 773128196, 270885460, 602417894, 47648092, 293225047, 481059680, 285875474, 597541793, 494291542, 764755697, 83064005, 112054153, 987193011, 132082062, 240976881, 898685079, 745500620, 840604468, 171502537, 652232130, 536733612, 484798212, 2715582, 180648307, 264845704, 550546249, 966566812, 418838020, 330703437, 610637438, 924603572, 108400776, 996184690, 525246776, 106211954, 431705163, 60011429, 471146335, 629933227, 654629850, 609687984, 176221788, 511820880, 240815206, 216383711, 857705798, 285959480, 526789216, 579165555, 524358478, 912079186, 627467217, 186255826, 721580186, 612012797, 568460333, 446756535, 714277801, 988735675, 953327170, 618170835, 915666464, 235858580, 944371284, 812337510, 567323261, 977353318, 871551360, 777781355, 608865313, 733520311, 645613730, 609983317, 946938827, 414731933, 17823345, 488424910, 683493248, 283082785, 960498397, 510929887, 972964020, 337555639, 404620024, 817179438, 634675511, 275727714, 932340313, 945490322, 125724568, 153394497, 131530124, 282253801, 279907232, 630419208, 471999492, 490319653, 883118084, 587204008, 738936336, 809110708, 471057793, 797211607, 27334724, 859438375, 659194646, 206268531, 972739248, 408427831, 105299391, 825568904, 981689735, 708942213, 643042291, 161127138, 723734070, 420655779, 204707105, 211167521, 22362841, 808841947, 174559469, 470303403, 758953780, 66731869, 56843740, 706495151, 351395588, 956046747, 522012386, 235160745, 658338213, 648688243, 354135936, 218332179, 508016882, 680024136, 824701592, 302452759, 846806099, 764899527, 47894634, 6652627, 375369046, 830121902, 314328655, 296438943, 350375862, 483294235, 19670014, 1932520, 400144924, 908847310, 614828809, 786555944, 152726567, 516215738, 650525874, 657770761, 568147771, 408214058, 992205475, 611478042, 615277446, 312514355, 454142882, 61998975, 841007365, 960025665, 729777119, 997477786, 224962812, 145390433, 179282525, 965882122, 547050963, 222477178, 780596772, 151704332, 47174180, 363388766, 746968708, 790735471, 815499557, 805233417, 166291342, 589618657, 794133062, 62874767, 175562360, 689418453, 284609182, 936930642, 39864117, 909595029, 382180606, 696204721, 106656182, 295662002, 342199783, 313710589, 204752962, 5366544, 796558303, 126043997, 879801520, 485064954, 41764357, 250666020, 364938853, 500565883, 266830299, 614364924, 776142049, 347407809, 613819933, 598225197, 29557152, 26968956, 648484294, 849911709, 286585365, 175305016, 118946806, 384300176, 385803072, 688802096, 479256751, 522571595, 974859336, 605428655, 307459914, 752459606, 425883071, 571959311, 920621491, 938731042, 520243818, 472478919, 341157227, 315832783, 329138198, 714873979, 150914046, 760746048, 33177627, 358516264, 545630295, 532905077, 453855334, 95090984, 768489628, 401361831, 656212862, 404696317, 820847917, 201317505, 439095185, 101906154, 10430277, 901568666, 118141686, 804141776, 942461657, 658104125, 408614134, 735159862, 920810848, 859651755, 378362314, 753337261, 691449628, 631665807, 152178879, 915888654, 398489323, 825759641, 824100236, 85406807, 911260352, 535156227, 752232849, 830580958, 414043117, 605810090, 641158516, 631076944, 967031125, 826347746, 502792603, 722439669, 954936619, 540119043, 555407481, 478802317, 188025815, 343153308, 577608018, 665951667, 193358826, 816203737, 534525164, 824897715, 854850199, 819412685, 454824895, 246387198, 853368365, 857570825, 948255969, 902350306, 677913280, 979587656, 709892622, 134401000, 21246010, 517597097, 781732870, 152760461, 344966202, 335207820, 611760852, 432599037, 691413141, 772396525, 893752510, 518760225, 648388078, 527397843, 694467369, 691016291, 466205792, 513940944, 622244088, 949144805, 403987195, 841391731, 894358038, 452988480, 802220966, 367066918, 834334876, 672489115, 816157970, 863807236, 80901863, 477838050, 119583078, 843604311, 683574849, 8444180, 518153589, 803958816, 669390761, 444513118, 185326762, 58213733, 539853816, 980238166, 119950347, 931035007, 536696188, 790295072, 415486311, 57116893, 215930371, 673761692, 767622921, 756797789, 349916104, 282559987, 411180949, 539444599, 374058015, 454076129, 750182128, 223244038, 518935415, 663651512, 612382773, 900620670, 583397168, 285952738, 769338355, 953638545, 924833584, 324942928, 229831647, 884338522, 184486719, 22244226, 784614482, 778215065, 663472900, 18464169, 962110590, 423243212, 358881200, 359801041, 618093057, 912164809, 31572509, 148749239, 954458053, 196669505, 147397014, 379317571, 877936018, 477489791, 33694633, 493784788, 226095220, 302146394, 185577159, 538609659, 203445465, 335265502, 640665393, 978997696, 477092658, 203554989, 673621648, 677107419, 816858691, 197850853, 991439207, 582285334, 962787356, 367910793, 156929699, 930151981, 349204878, 336473842, 717318277, 965288662, 765245767, 190553265, 978557221, 903976697, 941157815, 38058258, 529199890, 956002618, 448455536, 678142354, 287270849, 275272482, 115004451, 962700057, 856393714, 991739431, 741740215, 879047593, 892067178, 720740209, 245978196, 773081990, 352560897, 858457161, 144301417, 903403348, 637045501, 560927975, 121389115, 390295380, 26312819, 853019954, 207111242, 985091797, 99930239, 529186589, 712046418, 42826895, 72445921, 415094526, 940753674, 655562399, 504844599, 485787398, 583563864, 655285001, 440959043, 429856024, 988819802, 88795516, 183762429, 886595502, 640795995, 569973802, 433086672, 859560589, 959336337, 389301788, 628447723, 551625392, 928328769, 366059163, 381989753, 168521420, 382091957, 890009586, 213096978, 333438591, 205140414, 269872734, 61050751, 21253928, 379853025, 628864167, 142031623, 451998839, 943379750, 591023622, 951390229, 737777400, 264872557, 223032396, 439968999, 325421404, 163541760, 739332363, 66909486, 460577370, 454293130, 392007755, 579460658, 429682346, 595402519, 171165134, 446676127, 873858638, 114196777, 329210619, 215425923, 297349581, 477347859, 467284279, 180613671, 77025143, 530802926, 309337923, 605183638, 381561720, 350857378, 260625055, 414658472, 656783628, 839198853, 945803590, 820174032, 444359558, 293755855, 786914460, 532930786, 77287096, 170893652, 921844764, 896284956, 108578970, 176542882, 344657216, 139806401, 911669275, 414550047, 719344367, 833269958, 634970677, 58246087, 73763132, 748804179, 850727225, 240639217, 419608633, 78591804, 829024329, 40790353, 574628703, 485067387, 292386771, 595921638, 280772584, 382329516, 266028363, 133394040, 944227656, 869304418, 548184118, 744480437, 421615174, 803795718, 538330959, 93898877, 88264803, 711254470, 508349999, 219725405, 468241873, 881497116, 544377925, 493844656, 338392337, 522640931, 927684478, 454442435, 25068134, 579680349, 19185956, 169871194, 104877696, 782870077, 740027971, 868917423, 437609332, 249337389, 52937545, 902448492, 273968821, 838372145, 303971026, 370271741, 933499980, 950471102, 96217327, 752094240, 465189797, 988884973, 734411149, 281850473, 176748130, 447843380, 914992627, 566718444, 21238955, 876942878, 989808825, 395126695, 432505138, 419262843, 452320810, 210488884, 772334592, 142345486, 512320831, 317486343, 687672403, 956669636, 428044591, 860387608, 219183019, 843390750, 381338429, 209621043, 61590845, 875789191, 155144869, 542397984, 788438747, 821100021, 230002830, 125320118, 313192652, 53215268, 700280758, 6475673, 791832219, 452155877, 936679807, 32433298, 497611533, 127879262, 445246747, 737819475, 131025606, 316092859, 89542725, 560199245, 915749697, 499187697, 760376301, 207977009, 878494163, 854813853, 552179383, 428042878, 459060183, 763827591, 304123919, 650875773, 697925802, 589473231, 365637287, 452996377, 262819224, 665229785, 272611222, 870950811, 67517789, 523045399, 294362250, 448259243, 522824567, 483109534, 499272907, 976494751, 316977261, 557979886, 890373813, 180648743, 753238763, 142734557, 597809831, 417113221, 530888231, 39517168, 74835540, 470314516, 360845164, 40570143, 16398937, 370530878, 732623351, 98026004, 557439294, 741971862, 18107327, 476019058, 823120842, 742670730, 503754677, 872441558, 758953903, 599731755, 45424343, 729442456, 725335493, 703805825, 657855139, 103716972, 134040675, 735815327, 858331416, 978564940, 759951254, 685406067, 51463272, 161586469, 232878003, 653658655, 66436685, 736156555, 305341934, 657827092, 584702159, 488590458, 709904649, 907763203, 5282953, 695713384, 158573427, 896721835, 761686101, 811239947, 833432837, 702913278, 649557639, 5706430, 802244302, 886173041, 934678111, 105979083, 265408286, 461691739, 193564368, 276620931, 499449974, 784681712, 733696258, 663052848, 783049718, 873280545, 452616226, 850561393, 505096914, 144913651, 153243869, 453879176, 38365037, 958902104, 195487295, 650270582, 228840938, 917839613, 863603968, 298682808, 621054446, 167543409, 358789870, 868276354, 280804326, 374596204, 322753300, 57308801, 615711755, 511448558, 317023369, 854960621, 193494528, 440305110, 433952841, 221882373, 672491618, 570018661, 707464243, 524643636, 871556065, 874358759, 976654810, 438924571, 430336233, 941246759, 829484027, 400312044, 390820787, 534622585, 666897166, 444524334, 4334617, 138556249, 687306145, 870837449, 639574271, 410249555, 625388502, 374748117, 276057746, 217031982, 675590891, 996142155, 807026201, 117091271, 300968076, 619325061, 769575419, 932466127, 187627430, 192836459, 933056231, 277838880, 801363274, 653868977, 214049132, 506913315, 969925852, 63397372, 9329009, 917591030, 619124865, 881598223, 787257911, 565605831, 259377370, 649593079, 895734874, 720598147, 448548786, 981549471, 971817598, 672927664, 908464128, 528977172, 85476263, 352278148, 137985178, 767324733, 674395146, 471310141, 416878622, 263626213, 985526375, 551133376, 325294337, 688236939, 21856759, 708650268, 810605732, 315318543, 133755794, 579063940, 216014308, 913890770, 259615637, 254822442, 587490633, 785394181, 334740369, 722906568, 573251844, 40318339, 213408597, 811763687, 99189531, 946827197, 998851961, 140456357, 46469424, 174604124, 308706889, 587342760, 664951844, 501726538, 123000244, 758229424, 622513545, 595284984, 886995107, 597101932, 605656454, 135584667, 941096858, 415459014, 460497594, 823773203, 981566127, 59718919, 958348400, 428708813, 982183400, 790050503, 529824712, 92858154, 99216118, 449149907, 863913085, 205107600, 99315620, 631884992, 900830810, 335542185, 830282810, 774711418, 39903375, 4538865, 863371065, 178860404, 21647106, 528781892, 951773446, 357460194, 512858593, 339840818, 818413277, 20397423, 910670880, 404349021, 929530296, 924827091, 542317885, 262493194, 26075313, 423171762, 742177165, 188056875, 679601948, 774883188, 109899404, 18818503, 289712343, 869542107, 658583165, 440539147, 509828253, 738713920, 909719017, 115024881, 527956249, 374849852, 202085776, 960322202, 120276597, 257525308, 447111761, 888830242, 666103532, 842497306, 922529404, 963270322, 480190395, 424928838, 579668099, 667677054, 355487380, 626035288, 893912027, 948597222, 946950758, 399836558, 460187944, 701369001, 515931121, 412791986, 502566181, 163088501, 95177809, 869800535, 160213457, 273914353, 615474514, 629407518, 5648033, 942228222, 172958853, 280911475, 246693365, 736274995, 861507335, 825607676, 563496698, 110875838, 269990826, 219130276, 629771302, 727370566, 703036516, 176946719, 189770554, 589926260, 314718667, 4741966, 810064771, 143023331, 745419089, 25480238, 338688541, 340146062, 863814506, 888342289, 224326007, 533147836, 449947692, 303159702, 565896553, 273893607, 9044623, 882384941, 448030280, 14424983, 484484771, 365827044, 973671866, 786916484, 567258722, 214721761, 43051811, 914217937, 41253490, 397795741, 805750609, 595520186, 265366743, 401260201, 746088412, 960167547, 419322906, 277195708, 216797953, 214957596, 86690845, 806032087, 226608082, 849107395, 812985968, 812917962, 373208323, 427971815, 326130096, 737189664, 771849871, 813089453, 478668986, 20641802, 674350829, 37217200, 641084495, 59138492, 968226359, 235467161, 375700467, 388780808, 411421856, 459611286, 960701528, 595758912, 85360132, 53116232, 442319348, 221812899, 621803476, 377289625, 430986034, 424837220, 168584325, 771378244, 127538056, 613329449, 672845241, 685151276, 509556530, 322841452, 447699967, 164923157, 329244811, 245490032, 326964219, 685096133, 814239922, 232677793, 926306015, 233315879, 744595771, 938457017, 980432321, 582594856, 641879955, 691851156, 190889773, 467587132, 266410417, 974711315, 41274813, 223052967, 846012000, 588744607, 697734333, 532125795, 821051369, 716261507, 290775111, 1714045, 912618388, 198931295, 914989605, 959284532, 223796303, 12279611, 334177055, 594842213, 388294018, 719770702, 461732735, 104392020, 252984152, 613866898, 884545116, 222180069, 140516383, 23423854, 945878720, 965591379, 191948532, 752300669, 207461879, 430474527, 656468691, 306492169, 912306463, 92958364, 403423377, 850873292, 313267380, 109018448, 483515441, 36843849, 692617773, 990793202, 386848323, 416054660, 404592204, 390833510, 718961662, 700313291, 201267927, 730318442, 440381605, 439571376, 558275589, 96038706, 175646570, 695673332, 280775892, 909736072, 946501901, 490520715, 425072267, 230585352, 388436859, 589148860, 731285277, 426402488, 841646984, 19695196, 994434577, 955631804, 328373000, 24390280, 939094962, 594131914, 446148963, 793778915, 811262307, 457255494, 880022463, 629591830, 779087970, 831529102, 850810937, 885194122, 606355222, 414573319, 359456203, 324299903, 224419166, 882683700, 734881081, 336277422, 584822066, 861833018, 546304246, 922610726, 589039183, 140707576, 626039565, 825079159, 662448837, 314348137, 580984723, 475418159, 999961996, 197374916, 681174677, 356432918, 352315235, 669165156, 634236391, 428039156, 186611321, 806016509, 601519025, 96661717, 814974459, 184205621, 964082610, 817410011, 731583202, 643459677, 315643767, 126081007, 66366148, 551058710, 512277048, 900427045, 249769732, 61542367, 862752810, 505745528, 355228920, 477250609, 866423079, 486167974, 272113561, 605697490, 775317665, 683184779, 653899289, 997631626, 678556837, 928383373, 680186015, 889385700, 805339806, 806573340, 589352104, 659680801, 787224319, 489644599, 237407015, 524679431, 258120315, 921655578, 840169841, 565121553, 332936256, 294123912, 54997852, 992050943, 324019534, 538623976, 950602255, 554778764, 886106854, 347629143, 933993584, 925065077, 984968724, 693876453, 405733605, 108086293, 88530444, 602639802, 78622713, 405123737, 623720592, 311821837, 276706600, 520056864, 290912456, 987628000, 774755682, 963368315, 208388326, 268759446, 398441247, 983490898, 679638016, 923520827, 847651952, 307521481, 130592976, 70654175, 941004832, 400097931, 438769481, 466955635, 265293456, 56100280, 742064674, 142473369, 854441840, 139035740, 643305527, 705728578, 10652322, 138913110, 904548980, 308536992, 655319873, 862678448, 508532456, 389254199, 129550314, 496621128, 600140692, 349828315, 799307731, 608833398, 956326135, 989620149, 842625735, 135771202, 862416212, 521037480, 440938809, 320266946, 248763769, 616564646, 443476635, 708752233, 442783579, 94181367, 94283924, 792352497, 600814622, 253897205, 343770488, 710275664, 12946099, 602291279, 334396099, 66502283, 131852772, 206587492, 663606089, 837354577, 396597273, 342258212, 43871562, 867973666, 461717253, 381630778, 134372080, 516647814, 5616833, 247852765, 922278177, 269713069, 174468676, 824710622, 927270186, 234885195, 767884675, 674099711, 629228763, 826475622, 912907552, 381730052, 326952553, 925431836, 606337421, 97529742, 521112416, 577841385, 224388469, 399277485, 799334212, 877518602, 551915127, 578830729, 701057974, 472803381, 495952723, 870040802, 585350734, 110887956, 937282914, 804823633, 814372503, 213883392, 778032856, 320551659, 389786347, 832032943, 249621779, 77769345, 730869829, 169678330, 985041364, 409495128, 999982627, 104593700, 630750176, 220418243, 715666992, 366699731, 621761838, 784446040, 321161475, 950014826, 832217626, 485895092, 60937561, 190432955, 16015023, 293401277, 960143062, 944112978, 218178211, 950068353, 555544132, 84590396, 421254799, 773605340, 895103051, 963434624, 45745258, 853630996, 843249346, 27892004, 373892039, 909187431, 892125291, 880234128, 226406735, 583611563, 652638377, 412728405, 763624842, 656076756, 472528738, 155229805, 960750227, 570482309, 621087012, 383683489, 985801476, 640722445, 908496770, 146875600, 183141487, 762488823, 167050075, 444476182, 472889400, 304660674, 247403607, 772249519, 647011050, 615479567, 298273242, 200593131, 944402935, 730126277, 909725833, 608093574, 734137353, 980376073, 46927247, 483760579, 942752677, 909812560, 151945919, 555662282, 910214827, 277870185, 559442281, 100148938, 937270762, 602235308, 853757388, 533772678, 996842306, 994611913, 855317360, 958608093, 844508171, 400941585, 23309344, 573739316, 524606879, 936068675, 841591421, 746587726, 357280174, 194745931, 52267859, 781747256, 390279553, 844612420, 112645336, 690376423, 218211711, 850047309, 938936941, 978729383, 241730972, 481611581, 691231701, 442470144, 63830228, 113364147, 949883678, 173799432, 879888820, 305288025, 934834363, 108003864, 142933464, 527929947, 807082904, 457693527, 300290304, 306469817, 764198844, 205752179, 184557903, 341829525, 674385389, 658831551, 126279990, 935554649, 610861904, 859445849, 939594508, 871251514, 599001103, 739703054, 882312385, 899189648, 586241329, 597661747, 444820719, 213661949, 83433685, 510394756, 762263957, 611611364, 830889783, 70640537, 514512857, 618315089, 937342825, 122281658, 815672440, 319020581, 499705316, 274422834, 940975572, 980878798, 740332277, 826425550, 950477091, 136179165, 543708016, 102249918, 215639954, 572055369, 753949057, 669426332, 171361151, 113488869, 665129711, 553874755, 926247117, 848701050, 594782252, 199096025, 931204646, 355225953, 235898822, 436669441, 81494902, 349844549, 216886432, 200265903, 178299285, 428241342, 816418925, 212383244, 257655290, 548864440, 512521854, 763357075, 96534639, 803624832, 85673861, 711173183, 453980323, 651577819, 909175353, 269591856, 978748624, 511949007, 721167265, 137988773, 558271612, 419411620, 72592186, 874567866, 340195470, 762314888, 760717792, 18022114, 23622279, 666158573, 63288432, 751557252, 209572908, 541987270, 977244540, 887365879, 522521086, 638476200, 682049631, 994836371, 744149126, 44257358, 868058520, 665390554, 669018151, 338329318, 957981752, 692472399, 28722247, 230726534, 757282262, 408840656, 66539194, 544039005, 904100930, 38934295, 374015377, 899703130, 475805904, 862675440, 452687044, 213637027, 809076628, 686019609, 926308950, 571700800, 733110574, 942873865, 716809818, 139968565, 997262732, 503640619, 422127631, 248326994, 39265692, 881859001, 281871650, 164573111, 417999405, 91337650, 535220790, 184440822, 128599994, 47858942, 350644437, 20525244, 162237578, 73424099, 137110164, 74835958, 429599367, 614258924, 714384727, 533930764, 607740901, 692159169, 120390614, 816841085, 422894861, 699592046, 784228641, 572705121, 712543900, 40895399, 426955698, 529559158, 777408506, 194031277, 438361988, 572012726, 130606746, 679335991, 408287937, 707658221, 759194084, 68254426, 63896421, 938981841, 852542141, 31412826, 352042272, 442171426, 59619798, 5931436, 848652240, 557405785, 469452, 794353973, 413790416, 231546630, 717339866, 814224710, 761259328, 569293531, 715637927, 803616900, 801884389, 793894897, 264567501, 892355933, 762572035, 473190324, 386852283, 934984893, 6100069, 352067353, 240818121, 230316041, 876348730, 653184143, 136634904, 187382996, 403215073, 663424704, 640143886, 204766901, 905192114, 146154696, 47289825, 427718187, 607360875, 477930745, 991617266, 627643338, 261291489, 100368909, 846936745, 818393741, 656780455, 773927684, 890079767, 839105519, 666328121, 488719003, 184432821, 922397341, 798691039, 266654772, 839071081, 152684094, 644219104, 814070951, 274890154, 421166949, 782680750, 95617312, 638577561, 452745832, 937127183, 239962821, 380246877, 285459767, 336606339, 61804210, 285220169, 715638013, 572414365, 147947867, 497446450, 520774501, 860678253, 128644034, 636499052, 32331188, 881098628, 314594965, 922361976, 719541506, 83432761, 88195814, 486799846, 31544917, 579003109, 881135097, 166251592, 311163203, 632889659, 808689999, 336297578, 351629130, 813743753, 102813884, 361965546, 496914589, 170871507, 271684707, 361957701, 580640291, 69096200, 530738840, 966272935, 976567612, 868551600, 179459822, 758308102, 971098025, 847183567, 815545321, 770130293, 860782814, 614476701, 640412051, 220084966, 435360363, 517313655, 194855852, 330223063, 487833151, 504751127, 106381593, 504011759, 894216455, 239554318, 513532911, 93081430, 238958592, 928665287, 749223770, 681529513, 623517303, 632344049, 800579581, 130793179, 713495617, 587188901, 865188860, 462766004, 906091784, 231432718, 42850671, 854726594, 244093281, 512450699, 956519123, 204662748, 318289352, 579259058, 995278506, 19966998, 237124823, 567213824, 900531003, 218342001, 491823276, 319347051, 892524386, 154755369, 890354872, 485366193, 837368211, 566084130, 641565019, 287823302, 298923274, 923388396, 138409658, 284368657, 536049584, 118413458, 955873473, 53825828, 937720311, 974677108, 827741536, 381794571, 435262179, 639287549, 208235001, 288071879, 208433498, 739991069, 241393320, 973382434, 344127473, 807204275, 109702691, 590081556, 586102470, 376669458, 886114464, 226876849, 977358703, 211476682, 387252239, 547312772, 641035235, 307576804, 633586398, 177390274, 393552819, 379013803, 981493329, 940576108, 925462496, 667544857, 814462982, 645974885, 128930788, 164123115, 98469962, 307282582, 723306474, 748041705, 727559233, 992416160, 893761116, 927075915, 210242437, 976663697, 449165652, 143148826, 330276275, 398638630, 871274235, 277540341, 433223545, 651770020, 876795154, 502620262, 478040576, 450215153, 915149601, 543408502, 616575590, 390433334, 411279091, 803835966, 765330182, 438212596, 332838317, 466967006, 394341182, 768988676, 225677251, 137270347, 127670475, 610130485, 639472031, 635674871, 390212380, 12485352, 622187778, 617482464, 652298865, 465384255, 460162739, 584114392, 97285133, 883845596, 693332518, 76153751, 29249933, 407775489, 97661218, 273927432, 523576585, 92372540, 728901884, 53442047, 302098902, 873516552, 62054711, 583199284, 704158105, 152548846, 429564522, 645024331, 794800908, 78913986, 50009324, 657223707, 736821736, 606003002, 726927743, 712736290, 194261012, 494447223, 535190135, 247273706, 546682767, 374207489, 903585543, 915737374, 939201144, 234556060, 533951387, 771962919, 338718846, 986423039, 914370398, 95226875, 382336949, 662584847, 340269160, 248483354, 470967788, 728725968, 466934241, 534471796, 881692013, 230479545, 379904230, 338215243, 318656702, 104883052, 151730952, 976975231, 232155713, 951198518, 918100682, 214630368, 428286483, 414528801, 245616516, 908239634, 521226205, 782086579, 427397355, 392020524, 581010240, 927524606, 349401164, 285354569, 448537013, 823975806, 382465002, 250506950, 798808150, 382346939, 195562197, 695408241, 802782773, 729343268, 293596838, 70500571, 668781903, 545348230, 144905689, 804091690, 150655098, 886698831, 75267747, 893576917, 559431529, 191975545, 554859536, 18096756, 746567288, 125928704, 891605013, 576033663, 925356268, 663638119, 232189500, 818532107, 250516720, 2315464, 31102504, 707670272, 310341594, 468510832, 551110480, 574870655, 925544507, 681616496, 788333896, 650917473, 560758297, 111569264, 842255575, 913646817, 578908689, 292256582, 171018668, 975170407, 312508217, 411612946, 331241059, 683106522, 398612112, 625199426, 896041541, 539673152, 635713515, 475876707, 334446047, 359693198, 755502825, 41100554, 786137207, 958587167, 563951019, 716000312, 812839636, 278627633, 840763795, 882821823, 972791859, 307224842, 901776573, 624051381, 827757436, 699068299, 854683094, 371241394, 951529260, 496597412, 652637482, 837431147, 21089965, 464838134, 779282536, 671006485, 192804425, 206055930, 23760205, 866740682, 49268483, 95962094, 864054022, 378323558, 734400464, 526969275, 584986917, 271694321, 580534194, 999651458, 488350207, 499296925, 56805446, 804747564, 363322075, 924916630, 902066118, 806215172, 664353061, 518292421, 888068686, 417505305, 86879959, 823666649, 411448204, 705993118, 488981154, 281487532, 966416878, 493397004, 300826413, 125804414, 97381819, 127495781, 980710675, 909045092, 594072642, 26255185, 796553574, 229658923, 980835834, 55385113, 552352244, 77544969, 542268243, 527611920, 505971000, 913689003, 315615021, 508409711, 337638480, 467784613, 44917229, 414206139, 487301763, 914329243, 217899058, 104418525, 868450522, 362319724, 414706512, 691137477, 307146782, 571190616, 773203648, 652019585, 450483992, 519301802, 871180480, 988781748, 547079931, 990430342, 249640515, 525596923, 34467639, 240381025, 338572984, 419378822, 223803808, 325548960, 358936855, 535870289, 575861770, 403478760, 628770254, 357892256, 244624903, 972787366, 831875134, 902587738, 823944715, 202021529, 151956272, 190332948, 887414206, 583591361, 296985527, 545315767, 90659690, 277159930, 406159755, 835727440, 251527557, 872063594, 67911442, 673584969, 530013805, 5692192, 985643158, 717333278, 411004349, 186228878, 98796417, 250053442, 48520036, 87557258, 580152607, 423358617, 726471847, 751040013, 148127202, 283150641, 951782185, 881035141, 918658721, 9912402, 967779847, 674270613, 679091521, 868877312, 184081622, 85487207, 168163906, 43742570, 175603454, 22855325, 208993781, 697011379, 608820271, 4054153, 638860081, 273672570, 318556825, 7747608, 460275562, 20794958, 230991488, 849585073, 413749000, 571484199, 971503507, 717070807, 526306621, 530781114, 620042413, 767408866, 453791715, 980701857, 792551934, 964148491, 499395853, 54938896, 269260165, 609427695, 460154009, 353229187, 933838952, 664384635, 200517290, 377617089, 144024476, 519946588, 613897340, 954950376, 508670024, 885319998, 903814716, 845574007, 767394457, 53131253, 342219644, 364942629, 221536513, 919395927, 31803873, 794980982, 946404374, 583408458, 81178689, 118668427, 931395896, 378845780, 973901046, 632923313, 997644144, 772294835, 332242413, 90101407, 706782441, 539285425, 949776958, 497701956, 187777411, 676270998, 325571627, 8326525, 945082073, 909756032, 304066075, 713957548, 321399845, 847307861, 331772435, 963028581, 484807615, 984999567, 202765612, 452177476, 332204325, 884732606, 611112184, 9850400, 551548985, 685251216, 555285594, 883457801, 153418136, 234993980, 435263449, 975418989, 131540712, 385508001, 378711013, 727673122, 768714569, 322502371, 792857983, 248037118, 697011317, 547403462, 522913563, 120480094, 405109714, 590791712, 133358552, 685587018, 798066848, 425520757, 638827472, 607013511, 142175604, 388205612, 767346163, 451761201, 801702887, 478728656, 819179457, 292195712, 679610881, 493541232, 644331909, 441597279, 337219090, 900097079, 481153362, 630860432, 778453696, 869440448, 391946963, 593701412, 543396509, 358964674, 173370410, 543704719, 38355573, 301530953, 866667815, 63157013, 340935639, 505001734, 181053759, 163238927, 446868792, 954887345, 920286183, 746739353, 18940541, 713138023, 458201345, 11166433, 116204699, 664340479, 632396386, 177838138, 237644222, 578261215, 223816276, 157440659, 771911423, 713061115, 358919920, 776685360, 487960649, 20317843, 106890020, 333513885, 447246279, 422561916, 622091557, 225005129, 45404173, 284174910, 947941571, 530041397, 604580418, 398913041, 728114544, 522742294, 115220267, 765779093, 133446011, 756417943, 933282946, 140635326, 81567016, 238395439, 917990043, 703851877, 104862581, 11098374, 722513684, 571239269, 957598268, 972362108, 291102674, 738343250, 921522583, 843651269, 20189671, 790878125, 231311449, 740981445, 669295367, 572105219, 291246871, 44530129, 562831038, 14262637, 943472897, 584458912, 861427010, 919213068, 881487425, 62973032, 297064923, 633602006, 478631759, 550813290, 928770358, 662131849, 248287420, 433549757, 393587837, 234998678, 752143347, 979282197, 368654312, 400019443, 626652166, 288943967, 689834202, 666695315, 134216473, 610498122, 833801593, 229089647, 223659368, 484876607, 737308125, 167331058, 2689655, 93837365, 820236228, 783976727, 662711567, 801221856, 687170806, 407682837, 762801549, 157711360, 603871847, 339062317, 888125032, 906029490, 96197535, 205413627, 592545252, 268473841, 937762336, 750949359, 352280553, 806689058, 254844734, 88994820, 854849203, 872971180, 594090493, 490010431, 55917788, 473216152, 465756527, 163349034, 644799571, 416519307, 375156043, 741838556, 379745065, 690953888, 977580942, 606609922, 388704608, 322126696, 28911393, 562662762, 500143428, 809198787, 850098402, 148724182, 992368927, 299830765, 897424341, 228370891, 452279774, 855816199, 485105739, 625184121, 379039627, 575058232, 109892165, 888409911, 773238494, 381458138, 383746535, 763613211, 520180524, 759567013, 634690389, 310172663, 935801492, 718550637, 553653134, 679350549, 852495699, 41625283, 641814388, 926957733, 881838740, 456547302, 13397495, 520292443, 65317694, 771970046, 854120390, 901903908, 117623581, 278439108, 113587513, 270953501, 993171619, 938482350, 522051783, 268924967, 881206070, 212788268, 623853297, 798079608, 728905124, 966867770, 653712715, 615806065, 795651943, 118287697, 920052531, 261273994, 62091991, 547548347, 489998096, 171901713, 772342113, 959901414, 901273571, 349719849, 219990792, 700707398, 996236165, 278344350, 491780541, 728016075, 427521596, 324362233, 917926331, 258085224, 159942096, 802550481, 825716105, 84910421, 122441817, 436090365, 83166638, 749019528, 573553918, 104419005, 75025930, 694761218, 966965884, 387883452, 167311476, 811897347, 319129981, 984641182, 907021698, 776076407, 197537342, 978090576, 761447549, 425576184, 474092657, 655468963, 896711906, 31572034, 684794344, 632421372, 463116386, 878904101, 635188937, 341867016, 856540560, 610488376, 983768268, 16263096, 259694215, 177833665, 284935782, 829415587, 319451168, 569073678, 653188276, 351101504, 853253948, 173822252, 528072849, 889902390, 448101099, 489777915, 840481977, 630598964, 710639273, 195123964, 463275876, 491155533, 803125050, 220326319, 653309921, 368398013, 68486994, 827128292, 637608161, 717465097, 528303845, 268174628, 444799650, 931161428, 263008556, 825347740, 551567512, 121983096, 671589573, 661147931, 812070403, 391623281, 736832370, 424696971, 781827588, 566216038, 381402339, 662993172, 929685843, 192627161, 701703925, 287745536, 945450170, 102258012, 255829065, 7084213, 746777427, 549739978, 180187950, 816845704, 687294428, 888707155, 142588470, 762783366, 533326098, 478013756, 60939317, 662187761, 862426588, 466826249, 307450041, 621348185, 666156624, 711982210, 803667115, 667661955, 407380441, 319134879, 262803522, 779292048, 691414739, 453795529, 185183224, 954267798, 50548190, 584015291, 980969230, 400542442, 325597488, 935642100, 675168157, 404704446, 288388001, 631686508, 938695631, 389010170, 391489883, 726728299, 592216716, 537965094, 58586436, 388157076, 634544736, 181304873, 866828587, 249847758, 322858583, 133386536, 252633891, 848677142, 521699944, 588341256, 543261652, 979056079, 455508066, 361097841, 216635854, 320874688, 564222478, 552897293, 419515191, 125672440, 872206381, 759851135, 354306216, 597501212, 895767051, 529930455, 743338121, 673362889, 375021403, 48536164, 141462549, 85045283, 884590894, 834559591, 338082654, 891070452, 916638082, 951407365, 797181877, 225226424, 439434542, 591932327, 325814969, 906667475, 923862233, 573714027, 731389616, 573886343, 594446920, 224856828, 400736358, 791856085, 278035343, 459227454, 792371041, 471789939, 110992585, 154047603, 508003729, 250813748, 964103054, 863137741, 33324003, 571348238, 467501696, 202586164, 758804365, 82508570, 417390468, 842610768, 623781048, 360302682, 842161036, 597570129, 40027034, 860727515, 76857568, 754751043, 219115752, 901365375, 947402163, 737369877, 401992442, 229228894, 597137333, 931688386, 49622922, 731847144, 207783437, 243080504, 439566037, 784821628, 109312345, 558772056, 670651134, 589921723, 22254415, 741268607, 825859882, 772662894, 596909991, 458658915, 818481332, 830802216, 792698265, 591132472, 599734235, 399880373, 895355031, 656516135, 446936339, 169353727, 221224938, 869146455, 902468500, 870981528, 110409262, 236476847, 262526291, 425101717, 991118799, 913362798, 815818651, 236952133, 988782751, 812824170, 134394647, 745971341, 819239796, 916874668, 854451534, 906936027, 610941815, 517493644, 120798904, 95089714, 78799980, 698210024, 574110888, 242834266, 225748191, 254466190, 599460372, 824037415, 129714838, 847462667, 502040870, 72019134, 210079352, 165059810, 876762586, 162042041, 793366073, 966247512, 692893842, 451893178, 122182544, 287677080, 580883055, 196477145, 439112237, 173659486, 415086380, 205220987, 112647149, 565031370, 223629393, 841097069, 432554640, 183807016, 268259717, 571117268, 812545508, 437380639, 903547263, 783985768, 942794899, 160694689, 897207651, 876265941, 301848581, 255264567, 335584090, 655852543, 688162120, 18306602, 568075118, 616930726, 485550977, 425585628, 275470197, 913879936, 435972471, 159983293, 533340679, 729496771, 458057177, 576671402, 247562747, 824210776, 408473047, 658948385, 707039292, 367979994, 952177254, 757249518, 420237467, 445927227, 325705065, 733934771, 835100696, 827273144, 303668891, 392461534, 505284772, 242700137, 226138503, 767463947, 949457019, 920563077, 883719131, 362525556, 375621650, 933735471, 149734053, 665079249, 882328189, 71246179, 164006904, 270767265, 535370908, 550191323, 729885278, 557141923, 792593163, 805290206, 403226271, 23108664, 785677141, 844280792, 363960080, 75847140, 612557903, 815290982, 262430372, 287784928, 888532659, 287191639, 790988975, 709363160, 283304652, 307957217, 453694100, 184872300, 49855762, 908429056, 447514682, 611037119, 827737832, 114528571, 706407670, 710655675, 802588033, 142673907, 379498106, 729083146, 790093890, 728623439, 363730713, 423684512, 171763897, 656840705, 600729280, 901426624, 359698296, 150726857, 726685229, 475205746, 38484880, 179917831, 543975251, 688207973, 36313145, 652600748, 51819706, 995820544, 368844646, 350843564, 576253806, 633899454, 586668023, 412665036, 808026104, 919635248, 894843830, 85152845, 821558769, 876755084, 790674639, 430171016, 790037234, 743229417, 575340275, 312358401, 893655508, 671335731, 939662597, 348539828, 387611530, 88454237, 936164136, 879515170, 63965561, 741415701, 44280574, 545580662, 203641733, 394928252, 49421583, 763411654, 521799677, 171393491, 686139749, 208953092, 158083865, 104221217, 868004691, 192154689, 222063632, 697879610, 576095039, 191550054, 909872831, 873255000, 683790670, 167536497, 545085508, 984763988, 121030243, 301674566, 223115685, 328452844, 527723331, 774593755, 311253153, 674289385, 720231876, 63321085, 612595161, 130286667, 806989113, 556443607, 817211446, 72220580, 520755524, 378319988, 372159221, 235378434, 478738937, 397284608, 845432315, 470635937, 489273239, 453012727, 401907922, 921690863, 839158900, 943065254, 781063736, 563563585, 224945383, 322268329, 242504650, 275517228, 270547948, 421911587, 767684920, 471525355, 837752351, 666262379, 832700365, 376200079, 679571707, 753931353, 346912442, 385949162, 534056337, 712333120, 933092909, 835758701, 932508884, 112983277, 88794717, 964026498, 328655242, 285410454, 294776892, 202003380, 176088957, 766926270, 711474037, 244916578, 533225397, 842931038, 649309118, 693142946, 471745433, 379887345, 531102516, 919623947, 879631971, 997438016, 157906821, 625439833, 448718219, 13683975, 414344707, 23589681, 475146074, 199217227, 788627261, 600784885, 177430038, 595320824, 975553306, 124989643, 867691499, 650140017, 629582961, 738130161, 825121572, 590689557, 121458764, 258219544, 354890347, 290241887, 3138117, 337130538, 19451890, 576299177, 368399207, 738615294, 471384283, 956444558, 380686898, 11977038, 262543578, 418318124, 781964223, 629933779, 543544763, 38975439, 746014229, 724057664, 832235415, 895853974, 76565648, 718049671, 433898898, 645706164, 532431891, 28274948, 876549332, 36252375, 584045688, 510345333, 175810628, 256726802, 796815549, 121822906, 11274347, 781838977, 55621720, 824912596, 786604426, 797891516, 222245143, 720203127, 831337905, 509653659, 565854320, 185788683, 386906924, 282826983, 851027280, 218727515, 197675225, 594819179, 851649835, 16495202, 785025364, 131598987, 301333809, 102017050, 64051170, 144890800, 890727031, 682127258, 184742615, 56982910, 616827047, 853119399, 345538431, 291347702, 894283924, 652034538, 747208012, 15624009, 125752169, 739953843, 345231844, 344520022, 874773586, 459676952, 662851448, 873339592, 852381733, 444891814, 680682145, 406318085, 395495536, 606325604, 524303837, 560503643, 484215281, 882742965, 666637562, 919962134, 80793925, 82334712, 320954554, 527440876, 728987451, 279804612, 885541843, 271724015, 436504359, 497927961, 831838451, 547512111, 599063249, 487312450, 861051116, 463268542, 996461453, 325124005, 501773635, 76722283, 340444839, 606528514, 931197942, 711521557, 630653238, 126539963, 469650694, 945445627, 320035575, 425925332, 974369893, 646309468, 780207211, 888904107, 454218914, 437377026, 493158433, 36092513, 203429830, 599620780, 720818713, 377414251, 649305598, 841605345, 838353421, 359036333, 821959276, 12955601, 536792759, 951245309, 531945672, 729802359, 794472730, 25335565, 384893628, 262310254, 178458304, 978420882, 27489735, 191721741, 696201622, 194688465, 901057268, 274766244, 39851636, 255066715, 317286431, 412001350, 563575169, 594006816, 864622826, 777891598, 355937196, 768261056, 956465993, 573578026, 134954098, 407033878, 367544548, 323785844, 966383661, 456492882, 926040870, 266950291, 935865430, 568612772, 813707782, 640256330, 440051143, 521721007, 781954796, 819425596, 835874200, 51940350, 623809231, 121347887, 111813647, 76001019, 536716255, 444323693, 646610971, 836568729, 631301826, 23998532, 16440822, 903832297, 414869840, 991768258, 285966840, 996757943, 951218600, 613032314, 353050737, 85462660, 412787115, 908033047, 710316452, 330655209, 683873045, 722753185, 326646564, 468403006, 906602549, 457856828, 668508206, 26014085, 546050243, 233423601, 923924298, 805829845, 546670894, 231989978, 8711537, 147251693, 674683999, 389608510, 220715603, 837648626, 760386690, 660625349, 411410566, 450984772, 64514444, 468939755, 66577800, 944977182, 183875028, 699157303, 828678253, 727027552, 565007934, 969628529, 476115626, 989814368, 991051404, 731849295, 993944394, 878381490, 183984090, 410385222, 450223598, 411822393, 216965858, 137791210, 571991481, 708502855, 29089559, 403730235, 11986006, 501898830, 375785879, 841669744, 448083530, 131989282, 461238264, 516415421, 519460779, 887938980, 3495493, 598508651, 514407038, 701451757, 516835110, 105458796, 373705855, 162684286, 651715059, 934966223, 672370680, 764556048, 690185688, 67257161, 194541885, 610581021, 200051979, 921454650, 851787851, 181910320, 957010903, 188845968, 833531053, 268583857, 405455784, 908688542, 177273218, 546526975, 845638271, 591756491, 633815217, 178214016, 14265891, 645675617, 493404115, 625964556, 819798271, 147305242, 995041124, 418637714, 691123702, 311039906, 275129064, 298199244, 713832761, 455934675, 484423812, 217738686, 521348172, 865461581, 452931521, 694958785, 44748928, 216759046, 481993820, 856768390, 815443337, 68536034, 203817794, 736264225, 791839257, 63590536, 206857488, 544764877, 172743072, 319182166, 441052157, 462435620, 726817194, 489357249, 418502421, 839377398, 32587524, 702668383, 137877931, 64221325, 833038651, 662887587, 499835202, 428679150, 246794417, 84964988, 911083466, 572269010, 573118639, 412448643, 674435910, 267547738, 436841942, 609716018, 824615141, 543321984, 926191543, 370140913, 916060299, 110197790, 365926104, 211350324, 677109124, 776937691, 744476864, 774889902, 417047081, 256813403, 70398587, 904833308, 616581288, 303024991, 50178569, 788164336, 364188977, 688594852, 566925941, 29353042, 590958534, 841036030, 389522266, 252285036, 592069387, 762178817, 258416024, 199887122, 438043387, 123777593, 246668894, 248245465, 689113350, 86744162, 85589464, 823986334, 59408935, 105699441, 87800880, 72308138, 393846139, 420624912, 681292058, 438096673, 561906248, 565976040, 421431768, 994837910, 453728236, 101196084, 958882570, 52820605, 182668073, 638430450, 618828566, 399559015, 688191431, 390178168, 340003950, 476573910, 522574851, 836089563, 333074378, 324108492, 927235391, 500491144, 26744424, 612843701, 121319743, 45772115, 127290836, 818301469, 120010291, 217040351, 663734849, 400686147, 268249326, 569654444, 857825258, 598286490, 181022445, 553504842, 694120462, 292441257, 667967145, 726030183, 627684362, 696231028, 182838129, 239464817, 421077508, 497383119, 331610908, 549202390, 373211188, 62567231, 404926127, 487463714, 620440535, 82901602, 67256074, 596598392, 728218619, 26843579, 240656053, 572867631, 454273257, 216793540, 444326906, 212138938, 57504998, 811413926, 92661697, 457952632, 197075365, 273338380, 981537845, 916392440, 269095157, 623787382, 582957835, 922589129, 61928253, 41695983, 1114867, 250679260, 511779644, 730026107, 378077782, 172305200, 797307182, 523280129, 237726864, 387353154, 553585371, 492929990, 731747894, 863945582, 210451014, 787308760, 60781888, 367380687, 984946566, 171547266, 661907950, 671983401, 939820637, 156539808, 386740173, 957444264, 325857058, 375348966, 671100344, 421549191, 764640387, 875660594, 633106432, 865383519, 69362146, 719437548, 59701427, 822580802, 865717551, 925305673, 167146175, 256867287, 445669235, 145356981, 339576785, 934448516, 335618299, 91905052, 848074471, 697804651, 93273269, 790564224, 645372726, 802645298, 108382971, 155201146, 62607326, 602632386, 595402591, 135110497, 661706533, 230084566, 68450496, 961603770, 645923521, 968071887, 168494170, 556377909, 35768659, 214395511, 111483472, 527013130, 720750565, 619754423, 186741927, 832469848, 500835367, 387099367, 160572033, 830972679, 917589286, 485132922, 525669363, 146108926, 501200552, 848856070, 944911877, 41320991, 740802817, 34263051, 683537959, 758721221, 175349198, 896338757, 29542943, 698534678, 900489480, 867408787, 669852482, 981863278, 412765195, 809669110, 903236530, 311136801, 222469979, 435484726, 266583447, 599427229, 464835329, 529964144, 346530450, 714531073, 180766293, 272507684, 12326671, 628465850, 617929109, 323504512, 25151034, 877664480, 702805651, 798898175, 535037559, 24018663, 830235064, 538354595, 361428759, 901306445, 186889656, 4225109, 205807030, 167470521, 80476365, 828323175, 692448681, 642142864, 307814215, 588515187, 914011589, 738424462, 873661535, 627404931, 929041157, 290513802, 761568193, 10068165, 589697962, 645327983, 357162583, 838765122, 462917779, 755819420, 882971405, 438833273, 215252406, 947754772, 125007745, 51097910, 581049060, 174432706, 60075501, 617803332, 464634162, 53099501, 920456699, 154635616, 465764304, 160576355, 544991070, 186582452, 872094083, 324841651, 616155786, 629112067, 877637680, 94023552, 356049186, 451245670, 190790189, 605092789, 679701044, 974830731, 237255795, 338489080, 453242826, 594967835, 298531523, 912993547, 704987945, 830014409, 959237820, 459085732, 908445843, 807377552, 112789383, 163974574, 539558358, 645869, 750998792, 795475868, 981891869, 365954921, 880369623, 239145581, 243106408, 937791534, 46110232, 260625061, 361794224, 930746, 245122342, 441199986, 243894044, 678757670, 68586219, 750416153, 751141691, 329052903, 821860449, 829444684, 29693029, 688832897, 691139994, 347223014, 321793030, 514653202, 453022866, 210198295, 262685712, 324841065, 706988967, 129807372, 163422061, 393923969, 818896122, 624517716, 59543476, 739211050, 118838014, 162120268, 622846579, 125867963, 946202497, 183496950, 31822624, 86349448, 620634409, 772342210, 413854534, 153614782, 389676165, 782796790, 197730536, 937255679, 838792560, 67287703, 257415278, 756979081, 627457375, 505270324, 431700759, 830128922, 183669594, 445702379, 894305854, 366063645, 195167758, 70277643, 913662365, 134682345, 831620747, 580932227, 741465076, 229994073, 850804745, 723717532, 642975915, 120661234, 945710673, 108632737, 488793874, 643120305, 861092972, 765759497, 124103582, 920128940, 705375243, 920685752, 753535693, 932287984, 999102595, 954687811, 495407980, 792562047, 824515692, 526241887, 265163648, 612663937, 444786994, 554325704, 393591852, 821127317, 269053297, 365833617, 217320469, 567081368, 748909615, 412709665, 367092944, 998873345, 569835350, 591873895, 320539428, 12454483, 768030958, 272479635, 814672512, 667440675, 60545536, 917626764, 578864459, 432131283, 722760715, 908911502, 386289416, 230321430, 685723160, 455675853, 437956393, 263440707, 633473766, 840675659, 194529518, 355199194, 404396595, 3603788, 800809369, 508391764, 454563511, 508110572, 843014338, 811609364, 934810003, 177725969, 134707752, 344283825, 706085827, 449749696, 467644988, 716082576, 752597010, 7193781, 218523565, 164841658, 655831076, 769262783, 133194128, 795771984, 914223292, 617395297, 753186711, 488123938, 618343519, 528164610, 321548360, 720484468, 925709297, 874274609, 589732866, 25397614, 986913681, 625137847, 608564551, 893673748, 347484413, 379555863, 177553010, 911553260, 980874415, 113265970, 903262038, 149600616, 690992760, 152326329, 374428129, 850800373, 144085669, 917176218, 374902943, 62186563, 563968478, 4330611, 783591821, 931629303, 436163114, 364705501, 383699549, 602684152, 228294784, 997947927, 687390735, 86403932, 98334099, 177185374, 889652031, 217362800, 649662572, 641553204, 598660200, 404650098, 303319951, 251936194, 962426474, 396845082, 162343561, 180327436, 882460209, 252212540, 33829521, 639687879, 96724652, 922410073, 13628354, 667765117, 315921120, 890564693, 702631041, 319629722, 646512983, 224748565, 549115954, 99692988, 86630230, 289171046, 463986635, 723784171, 11259204, 358271790, 24407235, 879636298, 641248512, 688766517, 371100743, 751872178, 73944537, 928046837, 608167410, 710884031, 652016251, 987595300, 840420618, 658405832, 350381980, 369989755, 496368091, 318703417, 617461100, 678634988, 199360577, 960013572, 673454490, 875357169, 798494933, 295433961, 426809540, 676724444, 335746689, 669019441, 322346126, 414864531, 799753725, 278939891, 508133097, 423788982, 302314442, 722693003, 621964029, 675908443, 247956675, 245998457, 536814741, 913610629, 785983095, 410716879, 101798046, 291596284, 456638102, 513378448, 410535089, 795320033, 680786764, 664084541, 804285919, 569022641, 855669673, 399181849, 807078001, 227291187, 544922341, 3527604, 208852589, 397372278, 566624113, 216115979, 528444227, 536927586, 539594583, 678498118, 214991011, 819622142, 94131597, 257703788, 129180513, 162947759, 156607852, 631432639, 22634598, 279475231, 218668421, 646254675, 275687956, 536640694, 564137330, 263110389, 495342344, 737627840, 537865287, 352125309, 985867673, 419037676, 522886675, 621832378, 25593453, 752597712, 566402029, 925438872, 825690200, 817733707, 984717621, 166670242, 891719795, 232853254, 217693992, 75758252, 613727926, 990465848, 721473483, 56327740, 950678343, 977675639, 434207424, 691506444, 255850776, 508396534, 672311043, 705875280, 117690340, 756716768, 5316521, 433033595, 776976447, 809203818, 276176411, 886380803, 341583557, 388069919, 933581002, 852868788, 200257573, 801663182, 806063295, 225891685, 218688829, 503489218, 748806965, 22761385, 916319932, 612792397, 570189069, 919870057, 537691610, 261238715, 171963578, 235147452, 622094326, 833343137, 918544191, 300757201, 224132407, 657216833, 979346839, 729024682, 815608944, 250962493, 243796542, 398027520, 61940752, 650478887, 965018879, 254572269, 32721121, 326707981, 282632928, 413832830, 492469841, 966602313, 409503860, 872764787, 514267941, 841826792, 159939592, 171262920, 401251692, 2927120, 48966683, 129526315, 623142147, 738666031, 174804882, 64899612, 108936370, 597661636, 589851418, 127858515, 194069959, 304694501, 216939833, 139854844, 926971059, 276353220, 173945902, 771115242, 180066803, 535374189, 185969706, 50889914, 879123992, 365568257, 14674608, 3473797, 610478456, 333482726, 432014471, 1273434, 853082332, 322836879, 434896407, 611251700, 263092424, 502357838, 405224787, 437790842, 190499856, 145616760, 693454353, 732699847, 467828643, 47606982, 428044718, 411102847, 402602090, 982228787, 851909341, 242479192, 171590810, 303983445, 555338218, 447444989, 934103858, 97646685, 71888437, 130004725, 288092227, 967611541, 143011683, 645117147, 143218506, 978431691, 528229826, 342712351, 178109168, 429381945, 753284384, 92863914, 261886235, 623419893, 240237511, 900334790, 793758285, 457978620, 932142801, 762680086, 11987587, 512608877, 918950076, 259229468, 4269494, 18636948, 981401179, 610478119, 587584239, 521018094, 219918277, 16689753, 721388050, 71759491, 320593534, 741021241, 904612988, 671318205, 543258285, 391331653, 815172969, 472921113, 6346250, 678906254, 290864507, 407088931, 176655634, 914380929, 989063993, 625326351, 999322534, 196634858, 768110196, 512516311, 424034367, 168477118, 256112883, 14884490, 586866098, 687791858, 405865236, 375672305, 645886450, 648964249, 644570314, 570432063, 59969527, 751215459, 149942451, 900143297, 267946075, 79003680, 78954313, 851697499, 137511671, 621142115, 956995256, 219649249, 274497951, 111876437, 493186739, 739045751, 639994381, 795984602, 128249865, 386710230, 657936151, 424416886, 312772318, 389014079, 110640604, 525124576, 700984094, 358561022, 245819481, 573866636, 257871186, 960956923, 57505209, 577992488, 277420464, 308154006, 295640489, 510538676, 920942945, 199991785, 624153999, 676951952, 234694175, 340870474, 941035516, 12773744, 48633577, 923790333, 752525124, 805272461, 160782206, 394886702, 917887087, 63068328, 437845662, 236321443, 165195041, 387761917, 35198204, 168214652, 393934417, 546512767, 692332211, 97362754, 775684454, 659713849, 788558770, 163402131, 90240482, 432864080, 264632347, 991211129, 279488562, 358062039, 218893220, 779467430, 180284379, 902311527, 665882660, 620432408, 18369784, 760100541, 299054059, 432021504, 736340526, 871394383, 788191197, 880234839, 82036064, 705365916, 394490858, 862915693, 745709807, 701934306, 802081418, 889452076, 963389145, 754964647, 927895661, 165444774, 695416374, 946563794, 748314161, 662511605, 68350130, 897492627, 484873890, 572547657, 433591110, 537404517, 8930307, 343976210, 345027127, 239344496, 975080239, 909615971, 629921575, 869964224, 337428328, 823093952, 470413175, 527974137, 718395215, 662563287, 533656378, 542646973, 802527755, 512437800, 7370941, 261042907, 653417425, 977352864, 863707948, 328621446, 142179202, 740483938, 510524022, 797405983, 363586804, 431824906, 685147701, 205538480, 452504197, 809152966, 646251349, 727154603, 519547909, 715081597, 276967386, 50967279, 978373903, 219779023, 729561001, 85869024, 794952971, 269026989, 523998565, 519637660, 663291263, 521052753, 973690533, 925467424, 156130575, 155729748, 501194945, 761710471, 490306437, 482375260, 341733568, 693700167, 725031766, 676978737, 269850694, 816961906, 934893082, 122337432, 469953132, 775097950, 561440860, 58846075, 706282037, 90850140, 917133798, 109777365, 901974525, 490546893, 653213923, 901851481, 867767630, 272368428, 126231383, 465644620, 913062305, 941917230, 813578086, 273255769, 582694848, 192332629, 344819683, 250525282, 579009455, 430937118, 517163278, 190041094, 461307340, 787521347, 585137159, 102974346, 143318033, 894969852, 61658639, 818092790, 876268755, 44451576, 559789603, 630559381, 37617890, 356177275, 841647678, 904450401, 931163947, 831620571, 885112093, 92193298, 500969105, 487642887, 427538956, 540751137, 294075643, 771338686, 311351767, 870485136, 641027057, 532279596, 695908849, 778194104, 667095749, 77535491, 207104965, 209443874, 30031781, 717760350, 609373516, 353286757, 723191694, 146260469, 489347857, 899936, 213638022, 985606489, 329189595, 820837652, 432651145, 939872314, 759419820, 88287126, 956966224, 394486643, 241428064, 725317802, 486194627, 835910089, 8680988, 182249958, 358961540, 708956045, 790215528, 879554115, 578400923, 44210669, 582796462, 165248660, 713817131, 220960570, 553315157, 757658885, 982213327, 393312568, 242310564, 795132158, 748349050, 697538798, 239949498, 160232751, 734781060, 556810288, 829257072, 687299714, 683957020, 989129975, 398165312, 389734499, 19745136, 658684268, 98406648, 392316027, 751727186, 539789671, 867754015, 136338178, 45098410, 493919460, 880412635, 908839631, 68541610, 850829588, 161979687, 559607904, 903921977, 345088433, 282248290, 471747905, 259658888, 520220622, 981066934, 209079755, 112504652, 16093788, 979256450, 356885980, 426828204, 802465207, 870847467, 934419962, 29420639, 290873438, 146456116, 887464171, 357931820, 566193341, 617575147, 393824865, 21751288, 227814911, 858772843, 621356981, 684219472, 713786108, 901731410, 452251047, 174504418, 541341339, 886326836, 200861074, 506473117, 162100235, 308738157, 88491141, 330288708, 206700698, 303912371, 405859863, 110695475, 220420623, 295253393, 44617701, 658202902, 332688958, 158248932, 643817926, 514380239, 17642907, 226569319, 248808722, 4124113, 606501387, 151576188, 110968338, 794130320, 705786921, 560128040, 696165693, 432481241, 492208462, 751204449, 283988997, 434542204, 824897372, 250578730, 527863486, 915661097, 71820798, 790170193, 111157730, 985009033, 668875383, 816009052, 734711662, 894920468, 280606616, 662480191, 108971381, 477136419, 551371481, 22980783, 806162148, 291496873, 431101647, 731808966, 507910995, 717343915, 915495267, 347590091, 753239236, 852607987, 930382917, 556861755, 270278658, 640230343, 744474751, 362002120, 46813151, 489175389, 156539550, 814085263, 31289123, 53845746, 553318934, 487255480, 635412403, 834325433, 958515807, 797397503, 102484201, 709357917, 691127437, 481405393, 660874147, 181971204, 720766279, 547917393, 924722500, 338545716, 890200052, 745798892, 145183727, 692383843, 893069267, 698884197, 995864521, 595393825, 602740342, 799091808, 814885145, 719603689, 284750790, 284560647, 798144898, 998847655, 919751540, 428391078, 187937562, 476646851, 377478797, 797943658, 483199957, 815000823, 97680774, 84777375, 924293932, 735115891, 29944539, 235831710, 690854673, 70883147, 844039430, 693849277, 369194790, 98222089, 542812568, 443981270, 576327902, 987103331, 79889479, 817090697, 74869731, 771210110, 600299850, 158237037, 566783777, 782121298, 633219692, 535423546, 781142942, 603777085, 378237354, 236084850, 655674055, 477570880, 187522789, 481505989, 389338535, 960280140, 142704753, 960928171, 804437123, 710201614, 612319618, 948766922, 959482242, 410649151, 62677912, 916145054, 131107891, 550989602, 751847784, 980476045, 588406680, 771975257, 51516379, 110374575, 29796756, 752719837, 620818363, 149645833, 712385518, 734374589, 154228, 691766016, 407967856, 989534103, 112015936, 317787084, 213668328, 528304764, 912369352, 450416891, 73237672, 497999433, 285869714, 897823087, 365293092, 618151015, 915128625, 951268164, 729977529, 610300570, 61817493, 610449571, 341210808, 29026066, 133893314, 212617928, 499188278, 255034836, 784790342, 338056706, 831471416, 936766645, 732606666, 20561275, 462335191, 816521638, 934357535, 154494685, 109014898, 992035603, 379844626, 684996526, 162190368, 814986370, 974285818, 804869099, 300770244, 137036807, 36592889, 857838530, 132889382, 926950932, 746175844, 217200532, 316892416, 49782444, 302282227, 613042195, 28496260, 214762473, 885230168, 816807074, 405808959, 157414329, 341488105, 548884258, 285483144, 736155324, 684481648, 319929474, 409387402, 737590923, 985830449, 848501316, 446096411, 552966811, 678840044, 669050279, 551901504, 205786073, 196618259, 176636942, 64283667, 291979430, 527758619, 332414897, 560470591, 123906693, 130361720, 953515452, 267628549, 113489800, 919535088, 586980595, 111045194, 179781887, 340790953, 127872355, 653858543, 485846402, 917483202, 723961850, 981452188, 466423071, 350498850, 39024715, 692570938, 6421070, 380511146, 250526615, 543577881, 138340191, 861355661, 355836973, 987461650, 556377086, 622740481, 648134713, 69921183, 739905578, 514977629, 871104676, 338943882, 891717901, 61681643, 553853336, 243078959, 978254674, 524720642, 308278551, 678520102, 679267389, 883891132, 994615313, 806124273, 458704280, 904074633, 699538884, 112053654, 93284301, 494983522, 665090215, 407705760, 220297722, 463165083, 706740681, 305964200, 506922142, 473986433, 435940295, 562540029, 497304976, 199614342, 601097331, 711766882, 193354742, 286556941, 380065048, 116809947, 946877957, 922925297, 161995026, 979490645, 408025462, 443907526, 124791822, 555842940, 694444830, 165974034, 254329926, 694157796, 321072914, 303257810, 607850625, 293479650, 207159196, 8844942, 473243276, 200212675, 553433213, 467995270, 406551106, 591413581, 188758696, 292974147, 976609005, 899474705, 563415042, 743412878, 48042526, 283939402, 372881731, 30005193, 938980886, 710844446, 105911973, 557997745, 877037539, 221599604, 468920766, 413082035, 664540390, 219039214, 497598926, 551886739, 139162884, 175001223, 580159459, 993804215, 693907540, 525284365, 614242397, 927787322, 766684546, 693465654, 402909214, 722308345, 416161814, 927929439, 234847340, 343289645, 908447085, 929694207, 748061288, 313072740, 761612202, 962348712, 684075467, 693893100, 189205540, 280479043, 316020210, 329353986, 890910405, 848165342, 929406598, 463478918, 236453784, 358843861, 599491348, 255188989, 853179461, 341528402, 117021475, 773947, 843733239, 495899666, 149009053, 582112091, 755255812, 65757627, 344054015, 131515808, 294763359, 208406902, 189078186, 149022417, 33401137, 895558564, 768231214, 382313749, 201492614, 951380466, 455759976, 264987901, 142690027, 442263076, 486671884, 444509090, 532975145, 44624264, 464693039, 31047841, 122089415, 459368458, 836762436, 819875814, 790302793, 891237782, 368140488, 165292350, 641222235, 466855335, 459495729, 651965948, 452004212, 593568153, 900335213, 215116167, 687740103, 906600359, 131906032, 743592410, 264488455, 895823837, 549112711, 56013899, 557661217, 452711924, 410608149, 505445269, 114160595, 358114158, 866665195, 65794416, 868760061, 965513848, 176012509, 114934047, 89304557, 830240927, 384742355, 309685530, 669270407, 910197771, 403556928, 208994172, 377930073, 647215512, 452729770, 543143182, 36803039, 789024889, 435906055, 29897488, 341595483, 624864792, 113207937, 352519706, 40574513, 872111443, 480677815, 65605089, 803635431, 298368573, 8343622, 725978615, 848226008, 934361278, 838751453, 695832720, 921134643, 431654234, 365161861, 885275213, 595056554, 954961288, 79085120, 344958830, 238963093, 334950351, 746306386, 307177173, 4525885, 856184585, 120471873, 941156496, 780328777, 869031764, 749324491, 858349244, 264320346, 322310240, 480817522, 578673988, 409187713, 942842940, 898543933, 245509458, 735700160, 716627428, 50824273, 131202497, 583148640, 630688290, 150450022, 823484729, 865867060, 247329511, 338175880, 736824598, 545222005, 163453148, 227443968, 333225881, 10310701, 61841256, 251614574, 395837721, 881522653, 476682710, 602494623, 975260190, 539932691, 730647053, 799135513, 781785282, 590756360, 194554281, 86434605, 641996355, 153578299, 789872657, 62176256, 368843314, 858407102, 536025310, 228071265, 282028783, 934609893, 228304583, 309851224, 471102166, 174284324, 68698420, 191358955, 385351717, 887632298, 497501717, 140748849, 565643238, 507398760, 470246012, 202282303, 71043943, 385520149, 835508118, 867266438, 949364292, 378290368, 794079736, 878824091, 494143768, 542509940, 55566299, 385422282, 996666740, 927234935, 990292582, 356591064, 366914656, 589672311, 835938191, 746829320, 816003570, 78683348, 249622411, 754148756, 732053972, 115755970, 196205155, 949219818, 965250954, 760501045, 167268579, 281921423, 693285590, 223561476, 205169032, 602764607, 399301363, 84269072, 861558881, 275676003, 352666739, 717050253, 888573667, 600442012, 313216662, 542722452, 289561282, 819282488, 815487819, 532719937, 480526859, 422053238, 732108210, 88405093, 422242743, 825873406, 838299645, 300555273, 86822582, 256591185, 419876159, 121959856, 426838771, 947848861, 172386262, 355559811, 854881314, 91640570, 586567231, 897084998, 723159500, 692237737, 109126179, 149178613, 180290885, 860816149, 138598876, 285972095, 957320714, 555036267, 260268207, 996207092, 438829457, 943469715, 225580091, 96523748, 162029198, 830617734, 640494464, 5706511, 16206384, 23280246, 108795954, 483238413, 45159600, 918476740, 782143001, 514873613, 782806265, 461666479, 958342177, 118681107, 855573603, 581781639, 174326156, 211285154, 570481437, 549801734, 651872294, 837243181, 361033419, 820712414, 803099515, 836715691, 230721231, 308528289, 978854535, 807434316, 66734947, 415207902, 82369553, 853054472, 591543910, 168295747, 320671660, 889878421, 855613296, 797116719, 726287729, 674142662, 53145704, 863716812, 997826995, 243547734, 827564013, 103628398, 317559969, 26025272, 856562893, 958779856, 345759705, 387359493, 725909164, 518974626, 308400085, 169691165, 840322433, 605404289, 121046524, 779414092, 368708983, 99769095, 287951829, 712313285, 628771854, 954344494, 199189490, 882758878, 282881422, 252875967, 311262976, 191118247, 800154145, 143111007, 818861319, 917369068, 266183317, 180820631, 760985262, 993756274, 760661057, 467293171, 542387065, 183257760, 971411539, 805203055, 808927747, 442949441, 950362157, 93296917, 949924395, 427525949, 685367332, 22399081, 521689100, 275625204, 478907402, 7606173, 157799554, 271008731, 804029538, 574826379, 280765977, 52566813, 102735920, 163342223, 668309017, 54433149, 900712398, 572778022, 473590410, 688463632, 433212947, 410411794, 609215475, 108349721, 707977132, 476680152, 836217046, 79428900, 161827619, 825941008, 833026936, 511948086, 498708358, 976644509, 968337522, 673415556, 558012830, 552011674, 744163321, 196899909, 598762724, 475932421, 495708404, 52631053, 654414775, 755024116, 985591367, 603176313, 789636669, 948000408, 193545235, 932073542, 98652849, 397680524, 553285259, 511995680, 921174587, 32907144, 994448014, 925783852, 434098669, 178338428, 80441921, 236119127, 678141159, 980761279, 338481519, 970300193, 183232381, 752524693, 47858268, 363205951, 41659802, 230687703, 282857444, 335729628, 427501640, 653305194, 505574468, 147577837, 32062532, 986391603, 326110471, 450649471, 282615194, 174492105, 229786153, 227345651, 974142529, 634630325, 730106725, 690489483, 29105196, 630958759, 39711772, 357284800, 535726471, 738205494, 623214106, 399998268, 638391304, 578076359, 324714283, 749838562, 759579721, 674929218, 437970607, 564795138, 230363780, 906940654, 423254862, 624511868, 870013876, 993968881, 967711320, 901392007, 957714744, 166260833, 913972088, 321728888, 545902993, 638674772, 924039574, 468469620, 936865751, 586413457, 994414840, 108567782, 95883563, 615478462, 873779928, 310766067, 754970061, 738633888, 220934679, 175021908, 398771086, 102209725, 634526549, 810051284, 507869345, 16858275, 382853483, 613566058, 92090652, 399708602, 784045261, 870549240, 90923564, 156750032, 603356992, 132984417, 565748942, 542338527, 288343661, 980936041, 844619705, 758723556, 339247193, 667345025, 507426094, 869101398, 404868131, 677526796, 725416468, 539125982, 188759187, 388046890, 350981878, 293509962, 797028375, 964454717, 867475818, 372988816, 508318785, 292682818, 268669537, 67108171, 852723467, 406759916, 767846179, 81919582, 601391241, 627329724, 980061401, 825673593, 706113417, 66264735, 723975422, 843390317, 668568376, 182779702, 541448239, 833786823, 347739122, 688638821, 880645407, 917574760, 906346305, 868138, 478754136, 42406185, 590186248, 730573708, 280942181, 208903918, 658236979, 998136625, 739597657, 788028501, 156241864, 792161429, 127708520, 271572389, 166084609, 382588377, 796552571, 727101065, 650373757, 422239303, 96761991, 153707037, 261125093, 906169327, 167743659, 340061944, 849673655, 147741599, 434281233, 261745985, 796220828, 206283607, 652510040, 535620442, 332739751, 444188510, 436851724, 496095046, 314180501, 120843378, 454921126, 123902417, 88890785, 319231762, 518958171, 631399543, 953623556, 655266470, 5448729, 649532546, 992884196, 998977721, 821259063, 905161708, 600938960, 366782075, 279229090, 933593835, 787261932, 891546901, 51482243, 835234209, 434764920, 674879843, 884017755, 687149907, 637366144, 301608849, 368748501, 112439951, 878924957, 830811186, 524261965, 905878986, 863044436, 91510487, 784139595, 850238906, 575186122, 392245613, 234155669, 113915905, 340851284, 144509912, 893064706, 51515140, 753866714, 247446570, 81234483, 964115931, 749074871, 657354216, 239226087, 262706918, 155039260, 227689698, 372426355, 797947039, 692707184, 279969831, 337910323, 21663850, 597587869, 555768279, 363340467, 396809600, 562676737, 442905554, 549987570, 956422887, 113542963, 922456248, 177455939, 345340143, 933105720, 210323177, 61441534, 706227319, 288427178, 562190330, 114088060, 866889622, 326801254, 144263634, 825325731, 879378382, 784319952, 362943412, 594476147, 790867177, 481931750, 31691194, 564931147, 1508258, 959131112, 756846096, 586889065, 273244603, 993826396, 926509266, 845094966, 276701431, 492474939, 926031586, 924842374, 285320568, 40331645, 206638165, 906828359, 471471790, 432966233, 562072808, 127551705, 219645077, 714288733, 942536415, 824127986, 907649246, 768815283, 283917909, 41221942, 861794227, 644561919, 537890237, 937134856, 971974566, 803066150, 369071167, 490461198, 265071386, 904163508, 814675247, 435107427, 803697387, 599487352, 880170510, 94803834, 159642681, 434198248, 3401228, 238663796, 447884074, 805262191, 65392435, 189295756, 692791808, 526055458, 962433690, 952196849, 1675302, 483120183, 452451483, 46164348, 750551604, 427524609, 783152072, 754455385, 858845175, 385726403, 191965142, 152123518, 990636071, 538328968, 47494598, 867502707, 496226511, 513023584, 743349545, 190024334, 520604629, 52117516, 949761968, 57681039, 54760992, 221357085, 68582734, 714694109, 286983687, 920279371, 667969047, 564677047, 952449845, 174213211, 14846302, 212111706, 655056758, 406829841, 739007944, 215758154, 162776217, 51297932, 564512516, 152357581, 46526581, 2306931, 537926235, 510826353, 947948449, 581757813, 80281424, 285068739, 726077597, 898075151, 75967339, 353669347, 821957271, 267532488, 777148657, 300424507, 120075797, 526365204, 224804874, 292931374, 429710185, 403571069, 355817402, 673695938, 886915227, 740318853, 203674484, 697233329, 914507921, 762846838, 483732671, 655752867, 343397312, 158883669, 399996953, 375143506, 685084644, 185027350, 853434550, 493596582, 736924964, 525355119, 868659443, 55914753, 145609268, 405164251, 337952696, 535615087, 717645666, 559904985, 669575872, 348949315, 419536870, 540874802, 638369402, 921986548, 561017311, 539392464, 585749131, 23616794, 571120155, 825905961, 846402600, 732910926, 788523590, 880175704, 901689774, 301433574, 14785792, 21839190, 895978755, 389018525, 775520521, 479684720, 412066529, 515224745, 919090512, 774518890, 947706318, 280967086, 897476239, 22756859, 59639791, 311308044, 790724392, 194915554, 131713616, 897747748, 172238490, 115601461, 935709744, 652714569, 860277715, 772561136, 731173612, 415333673, 792237954, 490429753, 379024778, 944705984, 300987292, 734404783, 679327553, 800469200, 596427174, 275596343, 931167700, 254589990, 554991586, 964940592, 190461758, 252034606, 266721894, 435635966, 868070939, 567075788, 474761885, 143395409, 114792214, 644688620, 707677943, 181694865, 788536600, 95369055, 939474991, 653613656, 450713008, 735389019, 428775457, 737826517, 977161649, 120193551, 124473814, 496197017, 316476312, 55317515, 763465291, 746271880, 989002864, 504160950, 656673795, 523902983, 163283641, 914573300, 279606846, 412345523, 749450610, 501354181, 562080993, 772080524, 861783747, 627999843, 999341575, 811163238, 856112445, 505787615, 69437479, 864850036, 269883948, 650915490, 178531760, 937501219, 784771570, 786304796, 306040005, 277614909, 162659272, 179290339, 387711436, 887618981, 804611884, 930750221, 763024974, 739767687, 880171462, 361412073, 99264565, 458232747, 582602362, 912750982, 567516444, 82078757, 780059042, 646839977, 977461642, 651155274, 934164143, 123145697, 125010521, 106097306, 5803436, 579826281, 36000236, 64076061, 20625908, 86017058, 441525824, 333092927, 135556128, 283116378, 488002015, 313621061, 399686117, 495479462, 769233686, 807619580, 955449456, 329377846, 574523104, 447543881, 74234038, 711305411, 15844523, 324079597, 783214925, 788133501, 443601857, 403755704, 924397740, 602431031, 790174109, 7043080, 112583026, 967269030, 938003268, 974578773, 165684293, 668856220, 244050278, 780626326, 59914606, 515576350, 234609617, 958618530, 273335615, 701571291, 708027798, 777170804, 184204076, 761514232, 543495510, 307475293, 595557569, 385002705, 14895380, 54784530, 435487374, 213772115, 490940622, 77557279, 561549751, 180585793, 420749726, 571457192, 494072454, 837710340, 716136464, 168706977, 413366246, 845887765, 411660277, 400562906, 432516047, 402339325, 445785363, 160938921, 714059335, 404940900, 908979881, 541672358, 876760536, 169993925, 572214784, 778877928, 77779566, 74050616, 799625413, 710457488, 758485191, 905988748, 17638419, 308101692, 99738246, 848100917, 589127479, 707165202, 341120450, 17551556, 769480003, 114931698, 875344010, 319176392, 790225158, 317843559, 353149070, 717243402, 807188246, 167516670, 769160180, 610507581, 112892413, 673053471, 491268887, 172091785, 389577002, 657428820, 518818174, 780990383, 977514522, 348583532, 503351856, 619669037, 677089159, 341387962, 508516288, 27165435, 299078861, 213723549, 667188790, 628443262, 959652828, 506933459, 52347692, 437031417, 656202604, 175693573, 311881057, 617632023, 634127924, 834748292, 660471901, 471786792, 284258050, 773806564, 513611234, 565975063, 139515243, 449558474, 213375673, 893563392, 86264932, 642828816, 713448297, 940348394, 845707020, 57929344, 632513704, 207179914, 99795608, 637997990, 467380123, 305253348, 733514931, 783283452, 402191561, 736881270, 37585624, 759373286, 487448494, 450251289, 841059365, 762176431, 804447567, 200408873, 369833570, 39646408, 753847606, 111897863, 342461601, 857288833, 814828202, 391082561, 916939452, 119791666, 306458035, 67762415, 674181422, 48648245, 810767517, 541757133, 537550584, 136630746, 513210788, 889423235, 136671179, 439481334, 548184015, 302057588, 322775071, 47625018, 609906767, 485853760, 475266518, 912023262, 607388616, 349103216, 829335055, 495128455, 915403487, 869184519, 826237033, 925910115, 435211711, 77077300, 109182301, 232952259, 356809569, 535082041, 572320928, 55670656, 63414766, 560343986, 878543345, 549485766, 60881599, 424632309, 698468420, 549091633, 928813281, 26500094, 847746861, 753241385, 133468635, 701130501, 316283538, 82810679, 496540964, 417786221, 910104475, 635058301, 721831621, 944675596, 145067363, 431521462, 685193979, 602963035, 438647391, 109591753, 40047468, 17209805, 736391535, 737159606, 97937783, 644328110, 289647387, 337558637, 170552556, 476779108, 670597770, 817264256, 985353776, 411540904, 316373900, 736271874, 771501127, 546495615, 493876034, 913203497, 985834074, 354536155, 515241670, 789539917, 945845829, 721094171, 457634040, 899723858, 900190043, 752109367, 344635047, 570546316, 873645155, 797314644, 755769652, 665950869, 500157456, 811237286, 765356810, 738270361, 329389284, 602469432, 646550924, 546034652, 148706720, 825559690, 811746500, 655972356, 948826525, 800664670, 202290568, 527892887, 128650998, 740983728, 470387561, 927206458, 839816862, 64769991, 59662812, 583375164, 118391793, 137094089, 751221012, 94355399, 784013981, 733816674, 278291099, 396611264, 233882905, 319508050, 462150424, 70613295, 735004024, 591228366, 404070486, 148562952, 931487529, 680593895, 162662371, 177338255, 974634915, 915978223, 188665460, 706389032, 395481659, 657001109, 269975361, 183276976, 877926391, 899125169, 425664136, 502233650, 536931313, 790414953, 346230723, 274060232, 899628521, 352615783, 839924848, 700482312, 247887825, 549952663, 755600974, 81188258, 481038542, 632028794, 198942311, 635807794, 259770733, 962495078, 88614682, 318880759, 623447584, 171772843, 852777898, 939937078, 321970458, 867351624, 167482500, 759083847, 193253172, 318366299, 604053306, 521879926, 352523891, 597478576, 220248421, 660291843, 888274232, 755733440, 992848583, 773545491, 847413005, 279202736, 803255349, 204243250, 660944089, 952543146, 824647228, 203222185, 313362920, 921152630, 221019294, 549745221, 955888947, 574922025, 678689488, 74457185, 519751581, 601783982, 956226137, 615948638, 488401425, 287844093, 616759291, 563656246, 515512172, 627825504, 83038576, 277959017, 706840469, 155174544, 818153946, 327080906, 625379013, 556875469, 373842649, 164447665, 504406332, 789528619, 942725113, 252321503, 824767563, 144652678, 645699473, 666347855, 863384190, 228124495, 330723015, 727798509, 679790075, 567772550, 805858102, 343170601, 64421191, 542689502, 26063965, 576754242, 816906564, 594313988, 456792518, 444275520, 278824495, 65325183, 923585796, 861530044, 72613209, 544448645, 234832191, 824846013, 967029159, 500497417, 942105312, 949255552, 908968639, 806901981, 904108895, 819290174, 689264075, 891390605, 433290835, 443119529, 295111558, 438264238, 72830132, 766105406, 263631974, 377354203, 991714390, 451013641, 158491845, 206034535, 111587260, 883972774, 458289308, 308609697, 823738431, 869727012, 272340488, 198357554, 5980570, 850344160, 795086207, 258707600, 301455313, 973557234, 861692037, 894405674, 954049658, 929429474, 38731687, 336023314, 141534674, 853155698, 925153299, 275276108, 966307032, 181301902, 341553668, 316427922, 670182931, 787849699, 627877032, 19844131, 733839435, 608112335, 240206095, 989855028, 74494524, 341822488, 831759251, 955146985, 261047742, 612071964, 637861469, 706390395, 206559492, 284032844, 579310975, 631717079, 193616295, 112002695, 387329814, 470724520, 861854410, 519753971, 774123835, 837847338, 268474108, 975529413, 175914920, 803896265, 913372284, 807771863, 834146326, 687514968, 334010017, 865837585, 223936057, 147346909, 564168230, 923442320, 9943682, 744274627, 384801239, 661363456, 595708954, 852934907, 727444648, 168786588, 225174111, 626189596, 376631067, 370510654, 344047432, 765237059, 927988587, 168653747, 166042090, 999955779, 816732904, 179522029, 534731375, 582014919, 768120898, 176604090, 939840222, 109497437, 616278183, 281101494, 948277687, 640498307, 296208367, 692701198, 200271976, 500626088, 850649320, 436829465, 195955426, 937516498, 403746228, 892260446, 377214393, 447765755, 352609601, 689894489, 80799801, 115599757, 820880670, 803168542, 685734800, 98373084, 762368233, 790760758, 331077229, 270161154, 655648867, 800320488, 743537426, 824761905, 300330606, 280451122, 485618624, 176527537, 425700643, 691815298, 410106909, 485608768, 168975336, 128872253, 609490585, 636916040, 215061353, 859691966, 198920880, 805028777, 528989160, 545134228, 966808437, 148732638, 267187306, 261608455, 409826799, 657083106, 623077627, 584610383, 121294691, 369795233, 247769240, 400501626, 712620035, 426158934, 891942319, 127893442, 226580031, 388064981, 77852364, 385879766, 422143795, 480494196, 549685723, 907058722, 819268580, 619362730, 6265090, 630548550, 387353449, 336720689, 450272236, 930047818, 989489644, 396097936, 787518221, 809607405, 205246867, 297439418, 34855232, 462790083, 846346767, 797531515, 102172165, 167027672, 317352864, 216677442, 474071437, 487789477, 919127557, 278896005, 574688391, 724758992, 472663080, 185339381, 747675897, 31016656, 238673033, 165072932, 363781528, 969439782, 585508890, 63899064, 407238401, 508623956, 294012921, 917687781, 97119880, 631027699, 41037659, 345870048, 612118646, 874852988, 461828236, 421399639, 922893975, 340493676, 353700962, 655757317, 284648573, 755410743, 23554422, 496388759, 261028957, 507871006, 703558642, 42157316, 286799796, 268017876, 287771316, 358995862, 666834507, 182096684, 866412521, 647188766, 306199698, 142399827, 4331307, 329903024, 531740795, 304752599, 827366243, 226317808, 746724366, 61267950, 617891259, 444892293, 510493353, 537564157, 343226957, 538597449, 411870742, 192408718, 490499625, 928377676, 301172480, 479615720, 792812421, 633667699, 578819504, 41014939, 614064893, 181609451, 724395413, 599437690, 761210559, 173732850, 588553288, 839249326, 65353966, 162407706, 131286979, 63067452, 785836239, 443634840, 878832597, 390060538, 355129495, 503312963, 633415103, 963742264, 443998020, 429455726, 118253432, 651983639, 355644421, 427154469, 216028858, 466128453, 218784672, 784802199, 357077901, 210277323, 553315907, 729978338, 290963278, 330632808, 861759787, 45699845, 495847831, 476577215, 598053906, 808284766, 689931348, 755022328, 993426180, 848078116, 429237173, 439706732, 546115968, 652128178, 559416166, 103897264, 230271721, 501872028, 900933772, 800474520, 549486618, 342584511, 131978478, 361818954, 180724904, 691572023, 46184790, 451318317, 532821322, 823348611, 217456746, 556678744, 6601410, 519951935, 507993404, 127272797, 747933800, 293178497, 937200251, 377073342, 513733663, 319283007, 670106853, 333773730, 391305477, 313144176, 544137022, 856360836, 707692031, 833773046, 223098769, 732190113, 951309898, 956599568, 521832202, 515368749, 937307062, 742869120, 502674023, 760824069, 188577030, 589908974, 622718865, 417790531, 861332779, 139559455, 107192017, 950032028, 864926228, 816540343, 166587497, 210331363, 383101752, 527110539, 314220067, 953580500, 911848053, 693907025, 25562592, 976989531, 79534411, 887767191, 680574803, 851112371, 730730534, 118684517, 622991585, 221769758, 547527701, 329911045, 981831803, 5538209, 13663115, 411988101, 936435120, 741392318, 391962758, 713027991, 438449633, 297652748, 922245819, 587518830, 849459173, 344007537, 448446359, 29278692, 251782971, 543824420, 353161495, 320673717, 768591391, 218326353, 880756716, 676401718, 109041298, 723338833, 345030330, 788842226, 801454985, 381590682, 943112048, 27279444, 518109849, 602039331, 361432466, 970791522, 953155458, 36846487, 959851201, 642948170, 2909983, 562334585, 892134336, 722714052, 358259701, 67927883, 108662402, 111900159, 625946148, 666181530, 557559361, 632734050, 164778599, 393302799, 439432220, 277087254, 33693778, 605446798, 40810694, 596235935, 522957335, 626111326, 454057887, 226598971, 2350661, 894429053, 835529591, 366821004, 291979648, 389040830, 371848423, 69074410, 767676588, 270824796, 545978971, 699514981, 539948422, 408070370, 916267922, 45284456, 294145699, 856815675, 133576392, 220037642, 862755293, 409310550, 571161382, 470452350, 55617965, 225959181, 624494833, 43050189, 49727488, 252447920, 86693838, 411472843, 197388483, 448712265, 615234073, 357872691, 270461655, 30685815, 582026156, 701927024, 115876868, 449443934, 424330966, 665315647, 115476481, 507781331, 252811528, 734497587, 447926018, 355432116, 74832786, 861780645, 167092810, 163874424, 64250696, 604524831, 919801763, 596294147, 336393222, 637997303, 311915669, 876869359, 913169000, 965290818, 523285388, 869502737, 696077004, 845222977, 692861982, 631612467, 185392771, 225926647, 771536900, 662691677, 616886933, 257726329, 441665180, 564341955, 389415525, 312874630, 960730219, 100142257, 323947796, 503286694, 768243519, 784656415, 415319855, 900008342, 502134224, 591137581, 727184987, 883269818, 910684506, 290349, 713139992, 400166559, 14943106, 980851625, 473935995, 331356737, 636162195, 301309400, 723850348, 79770584, 960999674, 869645760, 596535433, 902916765, 836037743, 207624546, 57216585, 250938562, 147827947, 897208047, 243846151, 503223188, 308687799, 692052707, 576652924, 50301161, 640742897, 608036367, 421627936, 199548436, 241653655, 140312064, 542983552, 636140615, 53073266, 767687163, 758300088, 781723149, 897132514, 282893794, 183108476, 46146864, 819062558, 722299850, 624783502, 998621855, 675430811, 905232417, 669088660, 26647762, 819999010, 518998114, 787052864, 260489816, 615734996, 447556314, 606404010, 441827192, 566142061, 902439605, 559712808, 334267420, 907299566, 989779488, 392524417, 232414038, 802501249, 773595667, 147108560, 909342842, 38622639, 708529344, 687134270, 974753841, 80036131, 754985250, 453857409, 898892063, 186390286, 298683259, 990914105, 134794183, 132421344, 517863645, 353169773, 409384478, 48924891, 827202374, 735589832, 538699777, 974181106, 703332228, 203925401, 3616343, 438917393, 773435352, 181709616, 309247837, 411874775, 814949780, 711651783, 707267247, 430541584, 78127369, 286382703, 913921881, 577753318, 957489071, 266591689, 774211945, 620675562, 759024419, 617833084, 671206086, 644645004, 944430403, 725955797, 90728847, 707947337, 637537593, 971779046, 323185913, 163672038, 166949747, 325291979, 815699505, 613909450, 391887420, 967706485, 205315618, 842439915, 372424915, 640170990, 484483134, 661474620, 973091841, 419477396, 890790693, 869816348, 560088953, 887870953, 256861255, 953211578, 902311946, 69844649, 165119771, 264544399, 196528576, 587594559, 547110099, 447914958, 719110921, 19248018, 20739006, 279661242, 969806130, 114524929, 204312681, 309726464, 962845388, 254459077, 147270979, 316596250, 245159229, 849173217, 954548279, 780718423, 90161730, 825866614, 314751623, 460826138, 770973601, 467522816, 608287664, 83803494, 698768095, 324889221, 119085542, 264783144, 360207973, 101595966, 936390987, 259876402, 136082877, 478769679, 780421304, 192550227, 250079086, 149352928, 579002026, 826592282, 273540000, 568565807, 148765353, 401627187, 973698818, 153074871, 869487896, 656876388, 912058004, 919956800, 17779196, 126726454, 425727099, 486077355, 38870646, 400189452, 65545830, 789053926, 434439236, 387236877, 336174139, 792715405, 612571301, 236729338, 620210765, 823214713, 7099211, 799484648, 103241315, 741137153, 739853928, 529855880, 288388037, 391351088, 658288479, 880620104, 728932612, 486128410, 213305292, 4973837, 301791196, 182172152, 262343602, 540694905, 978521140, 519959754, 813581089, 30254433, 456836238, 246058163, 675681258, 518825878, 424267907, 873641291, 621033570, 383739329, 738631385, 764858645, 640435262, 154810419, 405527788, 326339155, 264347150, 486848873, 866251907, 574276174, 585005647, 110591758, 534668943, 504826876, 206763053, 869015254, 107731164, 355133364, 463937636, 334397614, 692043197, 697339177, 851859048, 163579594, 904110630, 437516135, 590537564, 483403079, 609956414, 715021826, 324884750, 175001095, 574245771, 630922260, 450593863, 693025235, 590292697, 857799943, 781947635, 813842127, 559497929, 171594185, 623907981, 970205770, 387995249, 617193214, 75185021, 224981013, 985498400, 463284642, 467809052, 538106604, 571705750, 938780633, 237830295, 440753667, 990569200, 401560486, 824063723, 986831163, 337908087, 756542417, 854522967, 648796478, 107627793, 362791790, 352067481, 855937259, 61621390, 660410179, 393873920, 408531163, 726584752, 711755598, 150777980, 901420688, 21116262, 118212195, 463904518, 40437102, 384572615, 664512612, 849261872, 592391793, 482364952, 41700473, 647184508, 219989873, 611585002, 398110368, 53279761, 213265591, 10317258, 381235227, 932039007, 769964944, 508894874, 343211210, 452628742, 138344387, 633311729, 275336912, 740362259, 321096281, 749159996, 140114257, 491224283, 215902315, 76049174, 319217479, 130684632, 520420563, 301270425, 403321156, 913180086, 842814575, 918551424, 753211578, 872583184, 956426045, 633102793, 523498681, 574621209, 293736132, 810273865, 348685773, 905022277, 608916156, 353863100, 669530489, 298695950, 433567607, 585700336, 977363720, 275697596, 302580940, 393568637, 404602357, 121744670, 59485354, 515739528, 125703227, 233545639, 323122209, 217145903, 352229062, 624193993, 404949986, 995321855, 326306076, 903463160, 364811621, 272108687, 876578819, 710361788, 401094147, 859295229, 668943022, 570354661, 708206467, 491126306, 996534976, 941563829, 342990348, 434771971, 569552395, 210402422, 45653349, 864047037, 464182197, 896320329, 244759072, 976777723, 805562433, 894266645, 394631602, 831013215, 224177115, 898499321, 268147284, 957293777, 915350631, 779183343, 451890408, 9758605, 393874805, 548426854, 964395151, 968071877, 408206793, 79276067, 833028716, 927729703, 65720099, 743524296, 257885678, 274623891, 544110869, 275249614, 33656122, 248964681, 138466353, 165927826, 328581873, 549447073, 847804982, 503755847, 415748610, 743141538, 588376779, 183982509, 957902280, 556618925, 36949752, 84353667, 841062877, 784825945, 541319883, 293526935, 714788965, 185513796, 7982536, 923113901, 216247495, 251372930, 170837837, 786175298, 568666345, 77041016, 212500796, 357606480, 663579792, 726057389, 320396715, 950831938, 808349354, 403491028, 351664578, 256641476, 590127060, 929557351, 11247051, 411976991, 850620016, 481322710, 63218652, 796390821, 647842705, 267015707, 421852780, 795494390, 564357667, 397095304, 811244253, 391126054, 877182423, 887597263, 243350102, 887580952, 514346032, 90642624, 269788107, 695394248, 107775977, 445545300, 464806846, 765180981, 908536353, 787016452, 788647640, 74787604, 412491589, 954395863, 285553644, 411788255, 355690507, 881077702, 307995107, 32690489, 52291398, 392896178, 214343704, 823778385, 988897034, 36393620, 837624910, 725377091, 4390217, 60172313, 529905486, 230010432, 839899606, 636068666, 736313825, 872296181, 406883402, 550610649, 881944983, 668757112, 238616385, 74278611, 195776287, 86705198, 731738513, 587695930, 587660545, 510020318, 137489, 888213512, 533270927, 364137387, 3454114, 968796036, 522062385, 800228181, 284483886, 457798248, 205942063, 67877983, 299867943, 416827875, 548507603, 896568663, 818673249, 652537561, 283208810, 869119230, 714136913, 471047381, 4967476, 190173467, 84885478, 150395080, 433173990, 358950675, 698435743, 608233185, 412634047, 230589094, 881989784, 442447865, 61542345, 868992713, 247875912, 821902949, 512647326, 193311895, 83995171, 104123773, 430589457, 382191911, 962426642, 621583928, 565132040, 474459902, 115070797, 213037519, 6205883, 554864985, 261854859, 748371253, 716988859, 199581255, 499270608, 84521876, 274473139, 391639496, 19043509, 775439394, 783309274, 486131919, 460136711, 114085893, 498987138, 798967953, 160234466, 766080633, 90862888, 13501891, 334514017, 904841144, 464434514, 753534370, 954317802, 665069191, 169272617, 986800806, 416908883, 247194318, 879995431, 645975114, 287613381, 845492632, 753321568, 559598219, 855632286, 416001705, 855605631, 186913472, 661751198, 404514599, 1407592, 978467862, 598532716, 45616281, 667036447, 2200989, 495431100, 401256995, 949082885, 401316299, 975954469, 127852396, 347959638, 461493212, 889201134, 112679327, 175604522, 998239877, 413435523, 364899983, 66235337, 962647346, 207289448, 157731003, 817507121, 498790304, 557306558, 228677637, 242689947, 446400311, 749704080, 64945097, 821926716, 17502397, 888658716, 916812334, 65152930, 777196609, 233392492, 580097240, 861725668, 990539513, 547646217, 891693444, 96582405, 578852059, 458908957, 23995630, 437212151, 918011186, 603569957, 526030869, 365737375, 176471564, 831153806, 665415494, 387719751, 864347278, 467405573, 207359958, 113057239, 811496543, 915019756, 339438531, 85887912, 566229779, 746716897, 244790173, 549687511, 861674534, 16616363, 789568, 49789684, 75218938, 937733040, 61102375, 523424622, 475890319, 841682036, 118502735, 201196641, 207137635, 144814578, 5347211, 278468450, 949218469, 594168730, 529691320, 523563477, 584062815, 14254586, 438078013, 992837460, 859117252, 241549951, 129478924, 317686482, 348749424, 354502161, 964016349, 608019944, 737089407, 572334837, 51987590, 977687721, 27185815, 206747107, 1402812, 687356819, 981729286, 528084240, 558617285, 488974231, 251435220, 505133217, 296386784, 269808285, 591850041, 181014263, 240337246, 689914960, 156975331, 412936976, 610948373, 887877639, 852489100, 414871339, 122041337, 938377308, 836756739, 21182323, 383303170, 271922969, 821085082, 324919894, 425354512, 348015025, 706884820, 149216302, 586492217, 899048361, 103685904, 924077873, 94481609, 930472301, 465483850, 831447796, 370080760, 714482151, 989515904, 219528355, 279445483, 343790239, 902778508, 110709840, 127388469, 459646444, 59020953, 443897864, 802138568, 325137720, 338158588, 456948796, 972948486, 233841748, 629348713, 77121266, 164898752, 483345009, 135403928, 936644587, 496809829, 369190521, 654093763, 973146570, 197705156, 248509819, 940691342, 742580208, 554751523, 422005170, 537177179, 441487401, 265217723, 545318147, 187428857, 999850045, 872074170, 653157703, 28633288, 725964226, 266039411, 307259816, 884115866, 776899411, 937270174, 716868080, 924972206, 288328585, 684180023, 773680316, 325693392, 102907195, 488323751, 724220670, 6854166, 564112584, 848033383, 541286855, 646034336, 842756613, 243552069, 895862625, 950565000, 802793089, 753597253, 102652813, 918586512, 219710224, 564641455, 42657736, 852286022, 845972604, 740130979, 782057374, 903187754, 150239883, 883886507, 469897670, 552535770, 85728438, 862952352, 287756184, 53954411, 371430805, 492358739, 505548511, 341190078, 390876482, 997426043, 123185684, 436242290, 607558916, 439765131, 91858451, 2995454, 666392632, 305519863, 794908904, 33402300, 714476232, 545158863, 1738261, 130968744, 516152232, 806803288, 916905403, 296052934, 235488585, 802538597, 677928113, 88979558, 405474486, 538760012, 724967316, 785694399, 419827745, 220472946, 626837519, 324548937, 783632880, 703332703, 854319660, 238887208, 347053444, 343972018, 750148458, 358338195, 809710154, 917564917, 227562776, 238372453, 474828255, 592507337, 965579549, 483489110, 233126992, 521948128, 255979263, 709102774, 14923803, 347535138, 144564241, 12700866, 878620444, 796156284, 73343497, 120035009, 270291050, 851895732, 261592438, 840507566, 591626514, 516362791, 601582128, 784604055, 650769728, 466700064, 3206192, 882638430, 61400900, 882782980, 368449941, 448030697, 534751512, 726634743, 420443734, 542871550, 128447283, 148657896, 239418545, 764702712, 358439496, 561997385, 235948621, 284921568, 761975518, 111671353, 944129733, 579823248, 796774066, 876946534, 39163759, 6250493, 181816583, 651979184, 605546910, 492157655, 394585242, 454087453, 844062393, 875429913, 908926514, 676443194, 145465745, 336286680, 46722407, 944908524, 801167925, 416818222, 596992856, 506472270, 813364335, 479839916, 147552067, 413281082, 153982979, 329715720, 915075808, 103696273, 358917310, 313723776, 798610137, 651887484, 996921134, 418876678, 298824886, 273059694, 878911260, 439707357, 484085124, 615488356, 172953638, 192387826, 508753609, 457373516, 544236641, 58394006, 653034589, 496037521, 8765614, 498280364, 371352490, 496993246, 920759060, 215489825, 715293516, 561516902, 72810625, 513092165, 13664585, 498915562, 389587999, 653515871, 17832382, 361919656, 385344638, 236186840, 499664264, 386299478, 506087872, 742805026, 587752947, 889836312, 302398685, 436466927, 772619648, 321445518, 561165658, 651833340, 365288029, 302946534, 308547153, 131981423, 562812208, 185688147, 142002113, 488699280, 612254638, 99775179, 392174457, 328155082, 969334917, 350447723, 429246573, 860601968, 36982736, 566404176, 871979766, 192328493, 818662091, 229550609, 731469154, 446591661, 35826953, 234511793, 283607939, 783589561, 798819865, 105428820, 947463126, 852161032, 268766818, 84436809, 963719442, 930284269, 775341323, 508911542, 135859449, 568046905, 270760382, 308802116, 446012992, 161305476, 693028268, 991800795, 238213067, 575428147, 181651068, 385989071, 628274439, 482435321, 758503498, 915114286, 574786671, 295340716, 530182867, 429183097, 23249881, 842230499, 863075492, 402482306, 589531819, 354943525, 752996688, 477468879, 737499015, 19132676, 924595401, 239600311, 729137519, 415246006, 105692861, 895304704, 390456105, 982205707, 802147640, 977202929, 230093559, 481770100, 312167844, 798675461, 973934928, 13372156, 790080775, 140531577, 89959616, 360444353, 793674014, 624363544, 594802945, 345527009, 197676891, 432551555, 265557370, 856134484, 879598632, 800259730, 202255344, 872728147, 722747520, 550401444, 251004007, 672380761, 428703487, 72015405, 580819730, 55887145, 287385111, 180174293, 397984729, 957807302, 86513676, 83035174, 549103604, 123390579, 677144616, 655260887, 51110882, 871299219, 207238119, 500718614, 599074176, 996861793, 4470381, 599814082, 86030253, 752868554, 349412695, 473742470, 192394246, 312165875, 261567131, 717792468, 335182342, 822367078, 35344063, 886777503, 623762971, 151180567, 26236730, 15747982, 296715016, 701526980, 580230466, 509873608, 932789420, 547797583, 899462369, 326722604, 791320218, 609529852, 230348868, 660871762, 856425929, 595249900, 380816693, 427069752, 421037651, 966149171, 471555608, 753880636, 707659140, 394001376, 13693522, 72368928, 151598263, 94060959, 95100354, 843840989, 978449429, 253158863, 399217209, 997703082, 65226948, 891291149, 668281830, 949688716, 130877163, 127437730, 123788318, 129824492, 290935819, 111402318, 403309091, 34852076, 605476007, 681403732, 955545392, 952694297, 928556028, 234381232, 289898382, 83924720, 723714069, 49510464, 856959739, 370278484, 694977034, 435367138, 853558003, 367823559, 17526084, 562648254, 550973104, 115634214, 738739077, 365606478, 470886521, 297020905, 251718369, 413900543, 227451617, 926833798, 272398984, 353845228, 706365770, 871662830, 431565673, 688830134, 977252593, 237959416, 73354011, 50334389, 319057172, 715236965, 220372087, 478113710, 442794129, 424577405, 481468160, 268439925, 923946624, 354513394, 996624995, 664054468, 360350668, 461446801, 484899240, 958696402, 694003034, 131604498, 962562188, 502680090, 335599483, 630047325, 72351733, 369651237, 347036344, 610645579, 829426239, 673760805, 152208897, 407333745, 491311027, 343533975, 144289114, 417842162, 152272517, 611869621, 948002471, 392838167, 730526237, 742069112, 749611246, 40150416, 824427597, 809679242, 801226223, 952549814, 579930082, 441241265, 14713811, 465415915, 314202932, 461876787, 593271140, 792167122, 118620943, 528260524, 690103686, 895394744, 918671096, 191743252, 311406260, 777866513, 411552965, 762824567, 642802233, 14926476, 350302725, 271457787, 180518870, 133628178, 560632364, 39296920, 730315992, 260892665, 835596828, 65341812, 240978142, 396132219, 35164359, 362713153, 625722546, 975848981, 207149025, 184717855, 323383146, 274678764, 189772021, 125237107, 320653743, 658594867, 186628759, 972928677, 356307020, 805810621, 316931608, 419872376, 129891311, 394274377, 616957763, 478059665, 330065208, 408303130, 714125030, 806316154, 626747223, 951095425, 229241464, 7841232, 439194351, 18923465, 978177013, 353128868, 909699478, 914563670, 4316031, 390352157, 307905103, 393901719, 281481132, 155346317, 580588779, 560236865, 807584629, 181900585, 639864445, 197235099, 223767946, 57368020, 440000021, 149816321, 80536718, 244590875, 310640058, 928099002, 628466812, 394949990, 836685635, 775137772, 589228134, 895811855, 256848707, 128432311, 737834129, 148056955, 127089730, 886188730, 978592039, 699079633, 732060854, 859632111, 690854509, 634833237, 349561343, 918482331, 571029125, 909669772, 889035019, 93243298, 350450458, 915964769, 38936256, 878376026, 999231487, 410313434, 11320940, 53370832, 56632939, 432506338, 306371768, 103021269, 872019733, 213464587, 580225737, 372849497, 435154401, 682912147, 58741213, 658761280, 549618663, 246704949, 174903624, 606991178, 334272506, 496318587, 160005160, 653967160, 964399295, 58734367, 780208173, 870345051, 924525908, 76032538, 287923164, 598716744, 807792182, 783770957, 474386022, 376375662, 712149075, 555673005, 197086001, 9257612, 746548876, 466061650, 984689684, 386328261, 661372919, 849308779, 823708888, 214396088, 861288331, 59454412, 177550779, 416644489, 350800181, 345538481, 848981551, 47617316, 210151396, 251326838, 669451093, 652680935, 402080657, 823265004, 290578083, 557075321, 968170715, 220203396, 701440436, 959938163, 109173215, 984485392, 491292363, 709587870, 948596337, 442179472, 744475421, 848057036, 251752679, 468415546, 308705982, 481927806, 229050347, 305060587, 970799975, 257462142, 321599599, 270308377, 728589357, 323031794, 108956464, 486553287, 904692256, 427641591, 877200904, 17030754, 815388989, 631306036, 339923243, 715758807, 103909596, 804508005, 465742225, 232824645, 822487008, 198299021, 645060099, 598846314, 766338304, 393462383, 765218086, 58214914, 834418510, 770056726, 657852089, 754147135, 522365723, 329541301, 115508831, 792268000, 477985541, 923212105, 96169518, 639805769, 618513587, 873103243, 852188161, 758339464, 406398588, 299149743, 514988487, 559690438, 554798683, 288654312, 220925176, 752488823, 6797141, 413427116, 722813403, 384035824, 174133225, 130837050, 131243251, 618229270, 720376268, 669511871, 440987050, 965127620, 733042604, 454072593, 837593746, 432548811, 448945224, 753159176, 354788391, 209236304, 65208358, 371913917, 920448927, 284572421, 557828778, 928162512, 319698263, 990393729, 913289996, 480209150, 371206958, 258463933, 410022682, 398574631, 637451399, 535364076, 913574655, 112700844, 184500025, 640517832, 736984120, 204454983, 415762976, 874256717, 961376677, 971114066, 764094920, 681150508, 205315253, 519477921, 882059124, 230618441, 189877358, 425103165, 925781591, 48052242, 96829909, 709478267, 566493813, 250213558, 203703987, 936786388, 681218288, 787481099, 148310924, 908389500, 445230470, 371969945, 489634730, 448310993, 749134765, 308001912, 759667087, 895172983, 310969893, 445873521, 370029131, 354347434, 890224291, 628443461, 736962658, 487414723, 648266427, 28177872, 841438696, 207331251, 98194814, 917982939, 997862521, 411420661, 900989669, 418638805, 245941305, 819231460, 813740656, 358073167, 77029968, 282216957, 935401941, 916397735, 176354899, 909926626, 355608756, 782788047, 495675778, 321666835, 579912971, 256767860, 133261953, 709887907, 547423888, 350843595, 834304878, 349046332, 653782718, 869828044, 558950595, 980321859, 470576802, 290951952, 608386568, 889981480, 789277655, 738736082, 395716853, 773241871, 899822156, 585199258, 422963608, 706498825, 375555601, 525427966, 455597113, 615186795, 811510546, 426612564, 329768322, 902921027, 383107976, 604292490, 783247674, 380339988, 692499613, 805314727, 225186400, 744792043, 124601648, 206228184, 135746595, 439716260, 86495551, 21251852, 426056990, 611651521, 250268848, 332385476, 965242058, 360165259, 42253276, 635487881, 234454761, 422214432, 90205016, 366151004, 541738891, 196231259, 585283363, 911591678, 205169733, 674277560, 525132376, 405728700, 944060220, 26526590, 857729998, 149610957, 343349107, 731049433, 7087776, 770746459, 105515454, 245806807, 684488046, 878491665, 620498190, 710386293, 222700920, 808762203, 66460084, 405411683, 340745716, 726475025, 709973590, 233332302, 414683822, 439559678, 529243707, 579774928, 726588317, 284306947, 760338208, 800160152, 236763630, 574842526, 140730692, 946544956, 308834239, 934461975, 230612962, 612369899, 901986267, 449567412, 107427404, 250370835, 950771238, 721718555, 780632593, 761799236, 85658279, 582634479, 975465030, 427761386, 412346266, 731521727, 616967815, 784858571, 479267549, 766481260, 926064819, 202727977, 189970041, 31016101, 838366078, 463696003, 953429886, 234240933, 749126611, 542106985, 454243698, 529366165, 761609320, 983432197, 122664443, 618592347, 306573134, 384831165, 530469464, 121905370, 355680240, 735260220, 989623306, 464761013, 421318642, 865577605, 88122116, 965400038, 357427249, 984530836, 363226367, 338915674, 452987525, 881575817, 323437649, 150730951, 129108527, 35269248, 362921746, 471631265, 885155746, 345807340, 806575929, 514978014, 512047713, 431368353, 401276955, 313120225, 777649016, 330715707, 977871443, 143453650, 928066187, 415172575, 970067257, 294007875, 903324224, 323413401, 353462397, 991700702, 591656235, 245425474, 248759108, 998498750, 697069118, 825106766, 309979423, 820991342, 429192285, 786443346, 462274242, 38454974, 253604528, 561120662, 930273484, 928386481, 583234678, 896738694, 255650022, 331599913, 878861316, 301785908, 505180809, 251777997, 404445305, 51037689, 756178223, 703371134, 879501069, 166379400, 686801158, 993880344, 684601431, 387094916, 817865212, 164044196, 991678292, 295758941, 522982881, 81797848, 524197407, 713514828, 520508682, 460553017, 57041071, 381948281, 955458047, 428738441, 237178300, 509338480, 653989244, 543720852, 656739866, 795939850, 900507419, 99316162, 918787952, 319360585, 49012999, 214596824, 150391710, 316821361, 826547284, 512381161, 479682773, 614638262, 457047073, 345489520, 643813367, 944511068, 719926076, 542615571, 775887944, 253783217, 215156260, 284325447, 51511585, 99799989, 832772807, 935692162, 830470332, 738668042, 402795664, 651309300, 776841170, 518856227, 22126863, 378970564, 364305424, 53385579, 896449527, 519407418, 456215076, 649651835, 514541624, 307361757, 629341053, 850809930, 692902463, 2001195, 306825533, 812751196, 290021495, 630964311, 399705940, 596050185, 369084255, 856931739, 906359687, 829155986, 106524845, 361492389, 3383379, 724438740, 407014988, 687536137, 682297906, 561352060, 153894438, 851682648, 387567942, 756484134, 847143216, 569059766, 294606026, 684048631, 682267761, 666084351, 241845944, 891269487, 393067661, 117578050, 374888112, 277405563, 451144853, 683866363, 718232327, 745203321, 35906727, 156478976, 444798819, 117421397, 345294670, 321750844, 538849664, 509896039, 320761602, 234632354, 472900151, 733214671, 299054562, 547775552, 856359635, 121476836, 725732720, 584441379, 780927626, 67481124, 985196345, 265047391, 518630642, 979773767, 213719422, 691797765, 970228622, 324815719, 714838553, 210250389, 497416856, 508681833, 94091294, 374735814, 96763218, 243327495, 942678385, 355233504, 824846934, 832755591, 785242851, 142466494, 342781242, 578073336, 406131169, 378612581, 604848342, 549311181, 986204173, 96099079, 973556306, 42505695, 433476902, 590046343, 810859406, 880719295, 843618990, 12717804, 540903764, 343466892, 203192777, 21294849, 656003514, 941983714, 991444583, 569813693, 972637428, 316879800, 119973258, 671536222, 143027649, 239252287, 402064146, 290216059, 991806245, 208511770, 695935450, 626956187, 502911217, 610722473, 190223478, 405314688, 221366452, 463912349, 363728624, 506254303, 82950872, 517634519, 54733063, 268263591, 432668799, 853696225, 676286384, 254718679, 66734910, 342912022, 561578941, 637775048, 937191155, 358674490, 582966484, 519150202, 271406198, 277423704, 107910907, 302768285, 225657638, 624508873, 835646061, 255944934, 572803947, 323184365, 410568122, 77342942, 751432351, 175563504, 561036796, 350373663, 205685198, 603257258, 847773926, 134367282, 274176335, 356493756, 916629653, 171044791, 783390422, 153485183, 181491566, 872591094, 508925455, 641211134, 901952768, 811097053, 548187933, 831229053, 492918224, 914767040, 831960779, 774741042, 128027072, 314031757, 401786953, 127691963, 795144498, 251169140, 824379196, 984108947, 423671280, 385398549, 534795706, 896432832, 88079610, 238725186, 429193393, 262951280, 742482249, 698643417, 620494298, 394998150, 754279792, 505583246, 613858743, 762751549, 327835066, 628247449, 747800478, 925321275, 465544873, 440293549, 766877458, 939779789, 169889299, 816089920, 522770384, 755611905, 486549492, 104750945, 425612160, 132636378, 968833063, 315983772, 379991396, 90307314, 923334526, 851291553, 60521503, 720340208, 812873243, 50137872, 451138124, 342673760, 341072862, 703625889, 682151350, 591038320, 199544023, 233125555, 360777258, 410918759, 429998140, 444680911, 649307690, 943286368, 831044234, 464145988, 465511359, 206064724, 446429209, 634288143, 284809174, 728469250, 387708762, 506867175, 250479395, 649137885, 887672446, 930651743, 24143094, 443558875, 458556379, 154763134, 749152889, 255455604, 872963974, 650909351, 860352674, 193488038, 664247929, 178014256, 2745995, 475339812, 558720949, 385545007, 854598747, 153940845, 328870865, 498914411, 64014139, 583879801, 613008563, 199922922, 572140709, 514704420, 511671953, 771653226, 391862896, 579140798, 767887893, 740336285, 415971195, 206544989, 543232753, 724053366, 24573738, 956694881, 51907071, 731259173, 678928800, 728839260, 343511859, 716152734, 629599773, 863238735, 6835245, 446262105, 609251642, 108852068, 588912848, 83557353, 719325864, 837688744, 997907132, 680316723, 43385441, 960197449, 955510917, 530792498, 536101520, 373242887, 953392463, 369582721, 373798720, 268171436, 317842274, 215681532, 59235511, 972777051, 630697276, 991059825, 907233592, 614360776, 353636620, 121194588, 84081463, 589229623, 543303789, 747801399, 156778673, 296623164, 72970537, 291185259, 867786056, 189068410, 39460839, 622527854, 543082985, 159323927, 721266135, 404855783, 107900699, 10036381, 748845503, 40846328, 456136142, 348822089, 101604344, 730509355, 812824428, 889028784, 99218540, 133673369, 493868922, 768512281, 160589616, 387159092, 171072497, 212198923, 849176450, 365156757, 39841924, 599811335, 845282738, 233289111, 354556714, 534768637, 454255041, 864380845, 283723349, 806345883, 133162642, 724106997, 246456919, 967196664, 320060361, 469373314, 87550624, 493944406, 684481325, 32171841, 524093852, 542070665, 871986979, 791024572, 721444420, 341440701, 437265387, 855356458, 600906880, 190723522, 852464241, 724807119, 678174431, 675606623, 628306422, 56167450, 166536923, 743702931, 289800474, 910195168, 297231047, 79959107, 544921549, 874135592, 852103790, 979066322, 791112437, 999561889, 431321821, 653270311, 851465256, 205506086, 377180940, 558938896, 974542309, 278266513, 298554988, 102793672, 814058624, 587331528, 777731654, 634240162, 737977587, 581588241, 398024699, 921210610, 295024623, 572215238, 909849250, 93997019, 378714285, 439760076, 214487204, 588700811, 230580786, 855122162, 845985568, 741857725, 302125292, 89487226, 549629540, 719991007, 23373061, 318419242, 337628558, 782314116, 480714015, 621795668, 177316212, 534177789, 752229391, 475722319, 406405444, 208328539, 648114708, 240250654, 26986415, 300632899, 4781630, 325415423, 301316502, 387032914, 376151128, 685252565, 843794386, 816885766, 113625259, 187088100, 862482823, 153592021, 174314036, 768357464, 62064970, 864528596, 418835392, 998960888, 293280200, 344382162, 46047683, 373898174, 873452910, 711627572, 496697062, 437210975, 224735785, 354131405, 926227805, 994603066, 256481701, 469916407, 509437727, 176302158, 489474594, 845451684, 224645957, 479237601, 21444862, 686267503, 477049565, 11303881, 302351494, 389953606, 84132445, 836349708, 154378763, 984848027, 405385905, 385362777, 243218242, 525727977, 550191535, 542056858, 670061399, 639735786, 527506943, 692416064, 242638447, 590501255, 236133560, 146008741, 352060767, 40377928, 183717754, 359608266, 946053736, 392435899, 142794454, 778501812, 129535775, 365978343, 224197879, 957078516, 805748034, 806989303, 854534765, 479544910, 74552741, 356415406, 703806073, 930354348, 210964345, 422667210, 757202292, 580373003, 649939575, 777920710, 941385047, 118536671, 477727472, 429678166, 237362495, 478991493, 907036303, 335926051, 796020543, 602800382, 376679026, 496911002, 759888542, 212504672, 267541020, 940085627, 27662303, 449210472, 757403359, 154561932, 249554554, 131191140, 861525562, 648191528, 386063391, 634273884, 584862416, 608566755, 295817579, 806022855, 300476221, 30022500, 843820066, 21105378, 311848987, 973662617, 687844454, 947696579, 376448317, 166736622, 428143552, 685312106, 853390875, 425734774, 740495011, 953577276, 953958992, 977519279, 398744923, 381476214, 377186498, 256255880, 513019256, 134876452, 900569672, 186588614, 774925128, 909903032, 57559153, 209051252, 355444310, 890593549, 863856178, 975985914, 633328452, 288652261, 819154953, 775848678, 675587940, 899998084, 755422394, 12577421, 339974365, 784185886, 513646289, 9954006, 445475757, 168214332, 648743940, 705193969, 261927669, 518679536, 294481640, 54383157, 568050755, 84822737, 993639777, 809617923, 235868377, 79140041, 243010849, 296542568, 502428638, 51607474, 157543442, 802212916, 249731307, 674333010, 702182005, 104272537, 397545624, 322073071, 880773395, 675295402, 188011312, 369930821, 509106860, 432055056, 607373067, 36907595, 91156509, 561721882, 810426643, 283532272, 918859676, 318279412, 412751112, 325981351, 126888468, 76484904, 54570144, 64903371, 739642303, 957027324, 919871140, 658293654, 219805443, 375299177, 869623595, 586651816, 169017832, 85468028, 234295650, 633174432, 456612714, 290473715, 225164537, 207302020, 976574623, 497601231, 711223219, 729900198, 28207938, 188802568, 277275526, 772177080, 536489772, 261734074, 255160713, 311331082, 154864773, 642591873, 534156848, 642929633, 361198616, 548507029, 503938584, 322285408, 456653808, 206438638, 313241138, 530604089, 359912600, 395623001, 985016769, 260745615, 756014306, 956319619, 486114486, 226011484, 952776968, 721068776, 211857863, 89574523, 943068655, 568491868, 154854201, 254374516, 290677111, 943874943, 650297832, 407442313, 800355608, 316940100, 699819551, 898982233, 336527861, 136362101, 542792021, 888027732, 212749315, 567782986, 292630376, 657083511, 739850591, 84403546, 119488151, 255065793, 99892073, 156822246, 73677094, 545372195, 385394796, 649903146, 884620112, 638412744, 967834387, 659616502, 209131242, 25106386, 229796720, 775148654, 255938828, 843116805, 586210749, 58127714, 516169527, 726503867, 634936155, 435818614, 84280534, 333823794, 449832003, 493111507, 616047196, 293762087, 130617118, 492622282, 7565482, 234580707, 553081409, 977100975, 99654939, 665343212, 156505653, 549987480, 954997912, 489788971, 158024217, 917545661, 948545969, 830665431, 912611868, 143429623, 930602878, 3685636, 725455542, 115330233, 194131999, 687543451, 333859549, 464262694, 441250279, 1136646, 88698245, 69746098, 246098266, 364756776, 540856779, 96174566, 647653714, 191342970, 917273118, 130934459, 751136977, 659872735, 670607742, 19565883, 475570147, 27593596, 834838171, 359859135, 531524179, 869658984, 722233028, 596697937, 278272865, 979559620, 735966250, 34947704, 67504636, 835364258, 398468681, 58157021, 637064931, 668583229, 254183325, 710976264, 515091051, 249302257, 899208421, 813908203, 753606324, 877122157, 951469994, 215743796, 58228767, 762842914, 872302707, 165179625, 328544019, 885335569, 468634353, 263911133, 690194999, 325726519, 456489180, 850066793, 783896509, 31013309, 636729936, 77082217, 929916854, 126108154, 41231044, 210415896, 707867854, 761834645, 627413121, 458101437, 962082784, 811863097, 423212166, 156095949, 673054830, 584458437, 377406435, 277593201, 299030061, 598950299, 178935371, 922140411, 893488690, 320643141, 686867573, 464452974, 236819277, 31128315, 835958427, 845611617, 486436686, 111790678, 718004673, 254459062, 253743542, 515283955, 868486655, 58461504, 995174007, 351608901, 482893203, 296102233, 137781910, 32338029, 254028278, 980655116, 967074372, 846112760, 356346778, 660252990, 988756762, 421839365, 721812384, 814658188, 494368916, 50446137, 595589211, 332873866, 210228294, 764797653, 224926680, 282378685, 580744647, 860261723, 9282143, 879434181, 321656407, 841006706, 587447810, 739605120, 755093506, 388436506, 505465991, 703656934, 10728785, 635916863, 454793874, 652325767, 636830852, 719718254, 128896683, 78785022, 891925518, 852840446, 532196474, 108231884, 824475804, 857937504, 244760542, 93670767, 147077631, 760446552, 692324472, 379755342, 222352151, 430685529, 743925772, 86764158, 570520386, 160787157, 455942121, 396799919, 429843355, 342778347, 123909598, 723149903, 428952088, 159896201, 137974448, 763884626, 757453290, 2438481, 24205579, 700586023, 144797368, 356800045, 483817101, 913362395, 164505989, 900941379, 381677951, 103793779, 51423071, 939450418, 213753788, 15228284, 922158526, 159419087, 571421929, 212551961, 864443501, 827024224, 713409601, 341380004, 917304118, 409185339, 576837402, 428486192, 428571264, 379287037, 905069045, 685446996, 996109385, 292020122, 101334429, 791899699, 762986805, 809893547, 445073724, 114523734, 140185899, 27355873, 434373907, 235715905, 200925552, 780599386, 107981954, 250793089, 908266233, 493448344, 269836035, 725479801, 753226967, 185259470, 599420151, 697830677, 924952670, 903235939, 495981854, 78311135, 601701090, 726130453, 255280740, 803488449, 826549743, 801136428, 396546473, 404831747, 767907385, 175300177, 54177736, 305456880, 535242656, 410004349, 450514991, 247312985, 376764733, 950919961, 451167392, 246294441, 502799991, 802126638, 366797574, 720576081, 437069361, 979272060, 114914896, 406061079, 993935186, 473763641, 361873740, 206640990, 214853992, 796068050, 247489878, 190394935, 692955095, 640597111, 759098643, 280777241, 682923641, 587902208, 12334950, 27420994, 69624293, 352177277, 954989669, 95788719, 473731556, 124644329, 13615098, 8287880, 578646125, 657254478, 730495541, 55327443, 777600694, 998122262, 702175866, 873014768, 931848261, 162511393, 98295121, 601232886, 115101145, 301258357, 276999495, 611253110, 824036967, 837277555, 272463205, 529213677, 931325597, 305294151, 752521114, 685074283, 605885821, 273659312, 848506670, 405432792, 531101086, 636100175, 368642467, 662256840, 344230717, 879218285, 975159826, 319469424, 556894877, 605068310, 438278190, 820895285, 861558766, 321568578, 690124046, 405265676, 541730263, 176446741, 391823514, 791860699, 463180887, 906934122, 669373428, 987710750, 70299882, 352135590, 877674363, 198587066, 356934023, 97062584, 697935040, 455380708, 725874594, 301587041, 655025579, 170363756, 728810931, 282438713, 686540060, 734902961, 859016434, 848984969, 825697539, 789031671, 176613556, 586145506, 259887404, 252985365, 313443669, 489779409, 302381617, 828924026, 85781984, 190987074, 996167556, 522188209, 393224476, 155895938, 870851806, 552137419, 561884602, 486241685, 345792672, 723057732, 831512132, 205022548, 16454387, 404731997, 292655534, 391085990, 779670218, 94016446, 737586401, 247310174, 81834609, 365049723, 387915321, 353646166, 852666552, 689319213, 951029063, 760930084, 148958843, 301412893, 739738532, 789664039, 140035664, 662148121, 505621762, 865562097, 888361534, 670072765, 307598968, 732206707, 576228899, 787231305, 498225983, 583754872, 486618012, 975603446, 244459595, 540899403, 792639454, 280676309, 141987025, 467776594, 180251629, 768206582, 118126291, 887918115, 518669482, 781586627, 723142551, 698510657, 468861451, 109232275, 37221369, 489959703, 296800020, 435890414, 681518672, 954584695, 113281501, 277101090, 457759507, 625687994, 131896152, 942835310, 450713478, 338436019, 552523589, 513639196, 998413756, 809638850, 404269581, 504405117, 599624059, 369647093, 21570657, 945109320, 194650036, 396593382, 222726005, 418060053, 215513707, 343107059, 21204308, 235733707, 553124419, 616736700, 462018288, 641813106, 512387696, 246669411, 302865765, 223152610, 106295212, 119487092, 430764110, 412259648, 361984064, 375396555, 71242730, 125550121, 58145652, 475515109, 140887458, 774979493, 168690606, 440837973, 807787082, 721620558, 631167718, 169150540, 143828252, 591263086, 499387337, 995227704, 490322491, 26025295, 264142419, 67103855, 453691272, 174686654, 570794586, 689498507, 133598800, 918550657, 47735251, 238790543, 870692177, 670359306, 407154767, 684453453, 217146683, 287476385, 495044032, 471448050, 7223013, 317006333, 37530063, 804959056, 404599138, 251360640, 146578301, 781081617, 706655216, 817297359, 843294231, 209906299, 814007061, 755757415, 89941950, 59721151, 315561143, 758934294, 409466167, 660660657, 978021895, 901321464, 929635608, 438839981, 254264201, 497491634, 790716556, 552980336, 881917005, 237165173, 767811125, 365793954, 725826928, 804355551, 834573482, 148271769, 408541240, 34551960, 353740286, 402239974, 661510509, 633009669, 919775223, 437799739, 562776889, 206626261, 955039298, 816286844, 424409939, 479286450, 489697212, 945280258, 793015382, 943721195, 740383091, 674358901, 592130739, 160657131, 962043680, 887943659, 524683841, 886475274, 33257275, 490009721, 154838886, 77746197, 444696361, 485029311, 545963479, 878796815, 347275506, 479596455, 689938739, 953707214, 944880896, 666993429, 449585211, 460891005, 72601608, 633219525, 229340387, 447182634, 302183131, 165027110, 589461617, 396040097, 349037943, 261245413, 769696224, 301954540, 725936261, 108716149, 846849054, 397007732, 480364744, 35189175, 379418446, 831380226, 285214700, 869339760, 217119711, 251626738, 781349222, 226349189, 955992516, 765351188, 880602888, 311344227, 488934278, 884613409, 181076585, 620552099, 422647001, 662670947, 876736117, 320682418, 289471147, 905292709, 108794144, 112542401, 369019507, 362634417, 429077491, 573066637, 423452858, 324887032, 627554738, 502674440, 452547380, 755426586, 422794575, 251083667, 298823852, 791950296, 677042167, 143310839, 882624153, 566512560, 276394136, 202652316, 786602983, 320157612, 119356137, 945561814, 26091245, 219796233, 247868133, 744959302, 814842606, 62656827, 930964748, 648246895, 466850249, 955220569, 570813789, 309784565, 376675125, 106808020, 353476724, 374417394, 88631301, 81064138, 177123124, 545508267, 118718517, 654485994, 675237145, 66164288, 913911677, 61944757, 74421542, 604519451, 267087275, 972364891, 406722391, 286056419, 11104619, 923648315, 20206942, 854001414, 613339781, 870535698, 284258446, 365035512, 570837376, 986037007, 681155033, 497792285, 109057244, 244656174, 856746709, 448198132, 981535584, 648729844, 33105424, 855575389, 838278815, 992083314, 545022780, 140790648, 196451814, 842532313, 181625778, 602787657, 678406100, 597284918, 159045103, 619023827, 304286473, 606731967, 988883497, 501326358, 874188302, 426506018, 953146638, 197973976, 488934664, 889452014, 593669770, 456215545, 816749260, 782357513, 178662900, 452166781, 836045353, 314648104, 700907774, 481453531, 796092525, 599161908, 494954101, 986071926, 512933740, 323455666, 65308238, 938387207, 227284118, 848852708, 754053877, 652774876, 893058592, 782827541, 353255788, 509633260, 452669006, 740829361, 34938026, 591379202, 101957406, 102711973, 105917028, 454529323, 990781017, 546817355, 179844021, 558898106, 442140477, 175973614, 430116020, 185241086, 6818434, 901305907, 996904133, 347866314, 598067930, 420997785, 762195634, 310411942, 415653382, 29212306, 312641324, 521727923, 303864059, 442481456, 317932037, 556498903, 669289723, 221077531, 278085653, 156522314, 364874138, 108839522, 942899499, 546682044, 673462477, 933582168, 810413905, 565849347, 505367645, 846498493, 389240450, 231414339, 880994386, 788938691, 876143799, 134698526, 739983631, 95563098, 893503287, 959544312, 467263941, 872713599, 728418482, 511793689, 533836153, 682213437, 499272915, 196312233, 3753537, 3798486, 732185706, 82807340, 487844748, 47314476, 968290563, 845847094, 713516936, 538112868, 641406946, 74588438, 702750124, 879875828, 971299442, 886025782, 975029374, 344190849, 4885099, 500335638, 606475193, 635068903, 553749411, 584754753, 991561865, 136940739, 112461045, 773120673, 442919196, 756658834, 954178863, 342335309, 874153781, 398350266, 281141911, 186846473, 567449078, 459785552, 51376417, 860163299, 878202191, 670226912, 910085553, 418859204, 695945723, 846328060, 655860837, 686446182, 580428906, 465831479, 284592704, 707908027, 975262090, 991182082, 72808778, 584091244, 209254587, 564649891, 883941526, 669638442, 458824130, 855310432, 243757999, 364212989, 981094036, 249701842, 752429670, 840332721, 146933633, 29658099, 139390809, 35371723, 951293186, 553746568, 267733516, 949642255, 153176934, 171471849, 117168761, 607435408, 393285553, 129120886, 489186096, 464592118, 672370752, 313039692, 162896893, 238923014, 152323229, 658115965, 821416207, 676113728, 244788938, 52794614, 651470095, 980518206, 252510674, 350643162, 763811687, 531927943, 454416798, 151117452, 902987953, 590799963, 442077733, 160249814, 253867721, 527311765, 535798886, 812339920, 224757523, 36428221, 662520122, 648979121, 358252502, 285114776, 933990874, 452291624, 347837423, 496242472, 327899043, 72982800, 177482180, 160818166, 850379658, 510106919, 472599344, 61188782, 905783378, 916946202, 36245111, 563328154, 789589322, 809777891, 731946831, 382370178, 128202124, 193717575, 522799482, 611583118, 83707396, 729357122, 405124020, 215183177, 580413973, 418679917, 837331614, 873510627, 997881836, 358775199, 238725650, 888770306, 960932551, 837152151, 362673290, 786649188, 973140959, 58592421, 727328072, 228714547, 147949105, 656932553, 499522285, 979283757, 16679427, 897350159, 939117139, 210078105, 747426248, 425802195, 571359916, 947782918, 207960865, 979725385, 704622643, 402163294, 109819574, 924328507, 225142771, 477490928, 435344015, 924556680, 135514569, 900183469, 770267984, 690371836, 379815502, 803896312, 859744226, 880071720, 242338870, 339537199, 542968898, 358755635, 682284404, 389632732, 701216806, 411790361, 479684223, 714836463, 319108229, 318616121, 59201325, 698697545, 713775925, 911440631, 900851702, 994909994, 120660464, 495645885, 317750234, 856191855, 322117928, 212499154, 921090541, 288119885, 252453927, 90828626, 373200522, 496768974, 778556257, 187976376, 920759121, 143932017, 870692987, 423186292, 513852559, 605972342, 463803510, 930278523, 403577940, 160538352, 761988598, 34806325, 494934469, 97287561, 913865289, 525666830, 217735145, 405021370, 804290824, 214390161, 362953443, 742031615, 989790937, 80256306, 785890068, 127254769, 680550144, 936704702, 331755468, 824978201, 568088207, 625804262, 771614419, 386240510, 560293677, 394016189, 487611956, 895957316, 544760666, 244804967, 896322319, 56315573, 361141307, 286966090, 292200229, 317144568, 975961900, 21856705, 13438971, 581763482, 536057155, 908483139, 159674950, 371983349, 651029438, 249466348, 870632791, 239908497, 661579841, 535253232, 685300665, 281221814, 64575962, 231050977, 52170623, 500685715, 51804691, 1404911, 941168479, 493126726, 202152416, 151875211, 378787584, 249580285, 281760871, 900199133, 787541311, 476968205, 282712963, 178544109, 513583522, 482459054, 228825644, 56180844, 750643387, 467735755, 574102746, 5333045, 142772703, 139903714, 378150074, 604798426, 13774957, 793815377, 433032845, 859260452, 541829594, 254286818, 480654242, 899520187, 777595747, 737831863, 235570668, 79402550, 389058645, 469533840, 824341802, 962130181, 626141511, 543156603, 525427626, 941966893, 788584693, 977490552, 908464159, 101469303, 204619689, 445150028, 923169729, 987240505, 760665958, 595626940, 922392152, 359153306, 4381277, 294903915, 888383012, 568737050, 705314315, 212043954, 249906736, 943284205, 163945594, 159429741, 512653994, 447539493, 245128752, 991417496, 301766226, 66502865, 914720780, 165700431, 670946428, 26407354, 991948170, 206696220, 18591922, 517381263, 837938103, 995569622, 761317079, 64464575, 992726774, 106695521, 76071157, 359158219, 575982976, 356592265, 977156958, 81647354, 819837220, 877223483, 230849427, 543770717, 21245359, 834548196, 841850681, 499968089, 972828454, 110330487, 323097839, 226542005, 815592661, 764298037, 70604950, 153704308, 769389121, 751088136, 188687853, 587494454, 762197903, 729943324, 414117866, 759585217, 876297823, 707678255, 84230063, 385304279, 976709658, 802521844, 511877623, 180843000, 546110908, 357335999, 76746037, 918288533, 88234988, 811052938, 839844379, 60718371, 813348929, 704224454, 776344264, 574031941, 855635783, 599903221, 505228915, 734029360, 572003372, 972816961, 741734234, 17719173, 198376178, 433344052, 222067795, 649137331, 115288736, 825994177, 273477875, 485987050, 474635913, 650328805, 713749096, 315673329, 819068887, 449870384, 831491018, 788857904, 652534248, 54210088, 567699491, 412179179, 375406596, 339532731, 413467150, 87985504, 560802858, 170648584, 513959401, 156120872, 743842935, 120948221, 885234250, 746549993, 282249770, 424827599, 739310707, 998083861, 376466078, 153123319, 247314385, 899419580, 901313295, 192913455, 288730775, 486568012, 59176822, 249664482, 552315300, 745197916, 547751098, 454359106, 541950164, 808333559, 684934034, 580585551, 12928426, 42888921, 288646884, 431620237, 516219862, 469880754, 624166350, 935507209, 787331643, 249632282, 120433639, 941759323, 840389204, 739687963, 742882317, 690872363, 811628383, 582842443, 735893773, 464008507, 818734688, 943597945, 110384116, 221034400, 449503300, 934514217, 897276446, 54042732, 400347214, 712864439, 867678433, 394676046, 488588580, 826495002, 862816217, 859365820, 783737544, 978174440, 476678375, 737756762, 258081128, 838008823, 71106873, 427355688, 174846538, 531021291, 589090326, 116394984, 652197602, 48087579, 776243343, 366109923, 91064273, 888216042, 287028337, 655385682, 382804818, 920546135, 159247205, 713285454, 25130336, 646970842, 316100822, 397862946, 566088723, 733333640, 205353559, 482820043, 506561510, 562285384, 968092480, 684611344, 31439074, 413002757, 11318070, 183555330, 314784779, 906577685, 573012915, 696979517, 996032951, 721974607, 943600346, 675761461, 735248240, 485046379, 10560545, 856115556, 368972881, 86247104, 149438652, 243366157, 944475931, 185602460, 410923664, 144437286, 589988818, 281386883, 826255389, 877180475, 150111753, 918941174, 830519674, 292651458, 617059982, 805626835, 355243266, 175819045, 969383459, 601301297, 523733223, 952612061, 68196406, 388920097, 675878929, 558494114, 948258885, 102683784, 710705116, 340282324, 802743606, 505728733, 882118662, 569553911, 261763830, 194957459, 203313621, 824005795, 545942601, 146216328, 317619223, 596622874, 864863993, 88197288, 130677807, 619401097, 363435772, 423743219, 620379969, 944736530, 3057090, 929389005, 684949120, 21282331, 983246527, 54862192, 879534012, 272135482, 737238353, 880213923, 484227833, 231193014, 524166777, 500829056, 632448443, 655660913, 238315612, 497665487, 37492976, 94805082, 521940084, 873942002, 280484652, 744575707, 848726793, 954006855, 456650725, 330642918, 269229745, 58862551, 53998277, 562228552, 596080031, 851610753, 829225593, 911256498, 783696277, 885900941, 575957242, 679205122, 250386215, 482657082, 871413067, 932428399, 440690149, 419972824, 368658967, 341410380, 852737911, 512975282, 802438385, 204947000, 53795990, 907421541, 833476422, 17897168, 73191484, 258816420, 919628577, 695361790, 501248480, 965218670, 722196544, 387640308, 532929678, 176362623, 300035958, 409555775, 445099460, 461332800, 85506479, 209397837, 754496766, 854861793, 767634140, 583454317, 44592486, 605955918, 308280773, 254412108, 161764284, 407615881, 227818633, 453515321, 242331149, 622317623, 317534411, 445846642, 216302006, 682265996, 769480607, 733441398, 345609594, 333022359, 723336628, 124065258, 324627270, 949147849, 868588258, 460190091, 891590663, 371329022, 233634427, 388830095, 935829914, 109925990, 403657738, 84656024, 393438207, 605254046, 66446398, 318287411, 202786639, 486038302, 173366410, 387579212, 16219452, 130970295, 457123653, 207974392, 697370709, 247091419, 693851011, 154122021, 968790234, 537729643, 785063539, 712924506, 224873313, 564570193, 793814400, 725032053, 671104592, 228132194, 981593256, 249252507, 24756327, 679947608, 262304832, 892568385, 506165821, 536860101, 544295896, 908105577, 206976793, 422367480, 345205613, 353383787, 902053476, 310550244, 724871644, 339782356, 264678584, 559743019, 598197265, 613295328, 565817125, 263716362, 148842316, 791935059, 340560800, 647609895, 640333074, 670917529, 741816263, 387732698, 654057624, 471224144, 400983004, 248303715, 895193060, 741654552, 702773481, 455773903, 989383658, 794666324, 615697762, 76008713, 902322780, 833909842, 568366969, 194664830, 230008047, 840767544, 354370256, 63027273, 888066917, 175656521, 11445824, 321601794, 97246519, 182402122, 295803320, 164325535, 460764790, 172241145, 925334383, 452098023, 951831796, 816458358, 254028331, 838055453, 842820593, 958246646, 232675906, 931644530, 966843696, 190726319, 337876763, 308428602, 152246316, 793572725, 331600747, 238342747, 978472520, 445977650, 771590032, 429402641, 356265099, 813114156, 435668554, 328775177, 826162490, 15214292, 980982005, 448801119, 770810601, 194213856, 519180718, 763444478, 38277670, 855482284, 126075838, 90472074, 109847947, 355676621, 299051294, 413079091, 748984016, 160364924, 537732304, 55246645, 339828442, 91460745, 681765440, 938499409, 600785349, 489774063, 422142535, 416909283, 395093071, 966776880, 351764812, 244338638, 410476495, 365196757, 413709526, 81989617, 977315678, 329596400, 978057906, 14044134, 218619731, 921812069, 199543754, 158763032, 151830804, 557448191, 920228698, 748473248, 254004579, 954640679, 689740041, 259223311, 131677030, 714287030, 708480969, 933011715, 62179299, 126917010, 389522027, 538917365, 557491392, 708306661, 423883500, 749101504, 712563592, 472870219, 985292464, 910805360, 640098480, 528287005, 917048301, 23737464, 942989119, 535490966, 352028148, 147796860, 493999454, 992837122, 259524200, 675629121, 912346197, 392764617, 169064049, 950208454, 258894607, 506178071, 105973942, 415171238, 101994024, 511335945, 71611851, 448722378, 973131989, 606642598, 192731803, 487788928, 408577674, 680996656, 377786811, 418261155, 272516239, 82659286, 335625756, 968276064, 318741763, 380979081, 856612603, 319696172, 877427358, 10022181, 440682877, 14256092, 442746377, 305625023, 414657842, 428546312, 257372516, 907178853, 774226775, 450269520, 318707109, 528706776, 314782409, 272917130, 182749173, 103771718, 771392224, 889362750, 322038033, 642056045, 769863562, 413570108, 824974461, 995118222, 268027428, 843790934, 208013332, 437910018, 684206342, 411926993, 811598108, 117752427, 275112328, 945694436, 920446810, 705246118, 303657750, 689000691, 107613705, 545621231, 774349584, 619455526, 239661803, 858991489, 675518171, 823249428, 973500902, 400504207, 854189613, 34632725, 568977308, 174283618, 229662878, 747442705, 684076390, 381359947, 477478599, 61349772, 209620104, 838633941, 598683227, 262652577, 282310021, 248452768, 988284317, 90393353, 704682389, 555652558, 855520663, 747301159, 677639742, 344100361, 965513939, 352501075, 445290248, 448308832, 965344280, 631729169, 335295721, 341560803, 514256132, 318430082, 698443260, 942878596, 392659042, 739956794, 306052988, 807077540, 967363701, 900572000, 684069416, 159136849, 247879675, 256296969, 451820528, 507233518, 495305849, 649312214, 950482152, 947697307, 757442036, 850341810, 731064131, 750231994, 259284933, 196597955, 83522720, 528272710, 905042751, 486525609, 485117201, 700555441, 193224048, 366945903, 637120070, 783027950, 26463423, 901660662, 523485361, 28697014, 431341136, 79670929, 500232861, 142203695, 115251379, 713618100, 363102328, 715379616, 769176714, 166465372, 511700037, 410395875, 793831882, 951682630, 981188162, 25207034, 145162367, 694604000, 572227300, 517241614, 763444789, 581340979, 951576200, 470194693, 918743494, 295985518, 929157380, 930847133, 724629772, 139982499, 62984224, 805866811, 306254984, 83217978, 113738620, 345338308, 668447623, 572662225, 35189229, 871016735, 364888927, 157081238, 945826079, 785195784, 384223971, 942005942, 96764265, 131242563, 109899630, 311996657, 882660605, 732076008, 47875581, 664703669, 823724610, 900119135, 271622520, 496872456, 365668015, 949067023, 408777403, 538363785, 925362418, 29791186, 706656108, 477683040, 944506024, 339953711, 719761163, 381296863, 936025500, 940131332, 352688994, 109673784, 633151318, 423673261, 405928200, 739859920, 616623775, 134826231, 946523066, 440173070, 201273999, 851102543, 187256004, 312423371, 38875908, 887463000, 3503832, 387199670, 244824157, 311946288, 981309406, 127246463, 35799916, 191353155, 130469630, 985033755, 574896099, 572521539, 281538238, 832869826, 867315361, 254648462, 973774234, 123825784, 569653829, 39035537, 104962316, 876438037, 377217212, 808328613, 845998404, 64535468, 102282502, 122900356, 214608267, 678454755, 932471769, 894645798, 873399727, 464805901, 563015566, 660110145, 893765478, 727138892, 462153990, 297726136, 697681310, 753683625, 463981476, 771643849, 127355052, 322863606, 2262938, 191714188, 185036580, 69425801, 2820816, 726010154, 633977627, 286799342, 329675561, 258101316, 674906355, 697881515, 936106667, 71262158, 72093230, 585375963, 223517490, 380065365, 125733941, 185175926, 352110624, 997708859, 902421103, 381277720, 387208173, 999886767, 433663407, 229614454, 508868076, 616807437, 997917214, 420481549, 314486592, 641761300, 39364810, 348125280, 93848129, 500985068, 265348944, 404504872, 178828217, 802160216, 614256718, 846122876, 679647044, 864688911, 638476433, 663537890, 429792826, 537794680, 111136156, 629250557, 275315198, 294685531, 650249552, 915921636, 590255399, 80646240, 627704077, 144347005, 824349797, 812984585, 994414631, 209882779, 833710718, 611404349, 963009823, 63541503, 77233503, 860330713, 308352582, 544554588, 783316880, 163382272, 668889060, 128985667, 925877052, 598257156, 529778657, 128430789, 955232877, 128700, 80349701, 251612752, 999763861, 835482422, 264543223, 798564130, 345165800, 638446335, 164999739, 749225798, 880709428, 432375294, 197583760, 927520111, 391232979, 304510800, 814207782, 766728882, 769353452, 95615545, 862830753, 921838285, 438341795, 912688204, 850470367, 794142568, 774453024, 890312836, 111788379, 810157, 385269309, 806664647, 738798769, 321720812, 397429559, 285323916, 16861129, 502082117, 500584115, 174549172, 370304120, 718830285, 344649166, 697348032, 932602849, 586506483, 275116303, 293669235, 884937310, 746603521, 506523972, 384060315, 182590934, 301774905, 133133022, 184594956, 879430538, 2038938, 590681068, 267117226, 955482146, 881527870, 751787332, 639238909, 106360909, 762164345, 160475819, 218960008, 281707110, 653642878, 291528929, 53579768, 175276056, 822006956, 37926288, 881841337, 694515423, 544110593, 44597251, 918862845, 531750628, 494668365, 440201415, 695085339, 224893935, 876107861, 882827194, 35335009, 218068667, 171364598, 515274083, 705054170, 591867945, 197725680, 32259623, 523470334, 870143260, 771300523, 575784771, 805397802, 456522344, 347239952, 449229168, 882409565, 226270736, 22602079, 787595245, 749466240, 348939768, 337334755, 39638608, 854090748, 930304340, 652114342, 437581760, 686528533, 258771193, 381223123, 855932759, 338204580, 890715163, 929021218, 423042889, 524534325, 622418076, 653845432, 923733807, 430453486, 608496317, 822992802, 851391791, 687669279, 861917975, 981663410, 403939953, 114642665, 407861596, 703360894, 281573612, 874745742, 332300994, 920660729, 673296896, 473299407, 871182245, 742453285, 32303082, 637698115, 309922329, 512596718, 174245852, 14592485, 430674126, 81931891, 336037481, 522276783, 532727431, 879294942, 543926451, 542306614, 262118888, 91759457, 741720351, 705491375, 703307775, 630986275, 476803671, 58356822, 973536119, 384916859, 830043503, 475955053, 445156617, 685369644, 972171710, 381357790, 594955442, 641301166, 669583732, 151110314, 122513467, 825536648, 61798897, 619607828, 139681312, 40017872, 42526746, 762686940, 623216423, 321602560, 847723293, 642172594, 131104479, 608907738, 438120754, 635065113, 356221645, 283980573, 517035742, 265742780, 831068701, 451169548, 554768749, 797506972, 958875767, 163739725, 740987184, 836383930, 504505026, 869214651, 285917730, 539539603, 12040476, 741770405, 245066216, 750127583, 270600152, 152717269, 543149391, 324316214, 560656728, 569888085, 709226977, 722532162, 806237210, 568948756, 727569017, 665430942, 673913372, 965985082, 411152767, 105080178, 797630901, 98835914, 949543399, 987140151, 239715237, 977926399, 917238705, 644629853, 315261824, 185175100, 581810049, 291736736, 788305306, 626134982, 247481272, 266973130, 330732457, 439259257, 989610386, 416587897, 36851835, 335961673, 758855607, 961515146, 448486767, 457670344, 216771555, 651355235, 864484555, 625886304, 678167696, 98198178, 617614858, 122180256, 243660051, 172441807, 654085811, 867125175, 810152371, 100921472, 419735394, 625189788, 424950610, 735863858, 157795894, 685320849, 30717151, 517710009, 156743164, 857428017, 222361332, 605247789, 812913695, 873720664, 57059210, 132314601, 616479199, 433691497, 427897623, 190246301, 727680809, 126656621, 530348708, 399542028, 744188470, 261174226, 239511018, 37315222, 558259197, 712667221, 390123681, 68436236, 77094373, 955540657, 479513281, 921313234, 402966769, 668975742, 928066976, 48174814, 325109749, 880495439, 357113227, 116916359, 243616187, 422016270, 922207251, 212874699, 124786887, 395768726, 293876385, 369594896, 81260699, 546646590, 975278228, 800427611, 449811022, 459410450, 402125056, 831283513, 37495652, 488015043, 742742790, 840808700, 693960677, 557791072, 681033200, 200847345, 19838786, 593451935, 122622020, 106655500, 373033515, 688540551, 104378388, 581426371, 584463368, 718568544, 127646390, 717583279, 645626251, 591146316, 775460503, 92412034, 170100961, 825764520, 869012208, 464577533, 375135727, 743533286, 40492962, 94461370, 273929227, 663917843, 758773074, 664172494, 893832411, 427326827, 670097112, 190887713, 173807789, 982743582, 215947260, 760608162, 730674440, 46674450, 903164787, 361479928, 88879931, 820165303, 663750787, 400231364, 185959629, 963791906, 590232477, 315354128, 33331520, 176829264, 923576202, 196156334, 697581350, 626375012, 404787605, 640763847, 930927503, 328512526, 811996542, 653470381, 794246178, 211569224, 40478865, 227869437, 488832447, 320712038, 577163685, 286929019, 855914972, 394641497, 266222326, 688396814, 237951474, 474647182, 747598166, 647104170, 567216984, 828889397, 427247119, 28659705, 459443657, 587167564, 264951327, 320890717, 368234864, 47777410, 452453038, 921286540, 560547196, 958411597, 820361374, 371549303, 220074465, 486445902, 995537423, 615477603, 999817851, 585858374, 505847325, 602435131, 991353075, 90224972, 388724876, 530205587, 208705459, 978920991, 714222546, 378704705, 867211259, 131135897, 34919529, 552616246, 760447980, 475958905, 347189443, 338679637, 614837889, 622273224, 152479006, 95256598, 155838430, 290560300, 188239608, 265842987, 352830847, 807295011, 918909254, 644520085, 819799815, 807294323, 48741207, 387624044, 791954730, 961052720, 813822603, 600668452, 447819241, 518358906, 37564246, 923326816, 544867615, 307807045, 445858007, 248232427, 454738699, 39968256, 889315128, 79043969, 442767786, 73433426, 628011229, 785470146, 642193942, 881556907, 572690886, 653910656, 927090798, 559262750, 168725739, 323619038, 349233080, 920377628, 893116861, 331359102, 741675202, 85892562, 878833251, 978240009, 437581441, 956968588, 195127647, 987073822, 673920036, 180080352, 825111958, 185500967, 186134329, 94873339, 407693504, 698935924, 684831342, 782444163, 17742704, 123630431, 275958888, 571828338, 361899968, 349618415, 128343390, 610410179, 706210951, 232202646, 107643413, 133362785, 368633009, 414950126, 459331484, 764217865, 968854625, 33576192, 87977043, 119603327, 818420617, 208147329, 412849925, 966439421, 19261629, 837812073, 211503748, 318617576, 366458523, 279978993, 238148943, 458787494, 844460344, 819529433, 716116339, 766346722, 612079361, 466883122, 38768749, 668596478, 321689783, 875859319, 732243382, 690443533, 737518094, 618741195, 540577597, 17067091, 629026951, 306211025, 115873160, 998011411, 853745809, 616127598, 734669703, 658766328, 182166568, 776341604, 623278328, 597293638, 544183780, 922294873, 374265284, 570470761, 419754042, 759350557, 175999503, 116358094, 671865539, 377817509, 933703054, 291359294, 988847998, 810434930, 619014530, 94086979, 150766695, 581908493, 729661839, 867221695, 479105681, 8841617, 921614194, 713057443, 842290960, 586311329, 29176592, 587017613, 874544882, 280643074, 906791035, 785750528, 283148162, 12187136, 194655973, 43309834, 477330976, 133251619, 98469121, 752759514, 794303233, 19094212, 831406988, 66186066, 204352028, 987420632, 91366895, 90552169, 248685431, 627916193, 717092819, 999244467, 837258056, 975452249, 918408080, 372155467, 550737082, 877496210, 396804016, 5468682, 820722114, 559965445, 417600280, 280048792, 767380121, 853167699, 116734490, 419225678, 159662091, 688883249, 251684835, 778412921, 636217921, 774208309, 271219763, 36792462, 98654136, 208518775, 528445879, 57723910, 628952593, 467423542, 605815403, 197659164, 813305420, 21986121, 953049163, 442187677, 260713906, 863133348, 474441761, 587590062, 922051441, 250498541, 665676883, 953186200, 659188410, 756531726, 866396295, 726376117, 645436762, 264030924, 415783292, 976046457, 377975358, 746114090, 777838489, 346914008, 182974702, 531492362, 59867346, 839500544, 665630650, 396608053, 378032483, 929256120, 985530235, 316937351, 274357663, 737974303, 709028358, 97825036, 608162639, 910678507, 286634391, 306816368, 453174146, 288246539, 727770263, 180442525, 596076757, 640003318, 537775396, 974491915, 246294504, 741267978, 721832951, 118106386, 319220458, 813232871, 255882537, 406915683, 917944079, 578604217, 541810101, 681666858, 22483301, 244260246, 468851005, 529602079, 819865439, 552431281, 347912230, 591541617, 254501166, 869031648, 586929810, 763414540, 623329786, 15562637, 19383800, 573515579, 405695436, 677831419, 77125076, 597516288, 114973785, 365159060, 85253869, 181872957, 846539000, 869944897, 426463230, 596071074, 789936387, 483566722, 734888840, 244436691, 597733845, 115881726, 879935515, 888034669, 675448506, 164140971, 771018330, 968541769, 157136987, 785205516, 219479274, 24423877, 435751612, 546097856, 733407154, 227161648, 367955487, 684885180, 550122989, 960434773, 787978019, 28096113, 159615158, 556525625, 935208301, 850825835, 758043798, 558723117, 260357670, 832376701, 551844912, 9037664, 70126641, 972974109, 443826219, 989096137, 721400349, 311307122, 676385871, 724430806, 792623434, 608104757, 266738125, 539629022, 884226369, 843292947, 606497020, 238996751, 151091091, 65802764, 586306478, 755457071, 325481320, 682620539, 461271456, 785189439, 985889856, 287018156, 224168359, 568325280, 92320195, 406228944, 476828602, 58690505, 463186163, 49392113, 492110736, 28891896, 54557198, 56684131, 15350761, 884056248, 489247276, 242464540, 871240281, 188424735, 586959990, 492756594, 580649279, 734223054, 986824993, 466077268, 213235395, 594503681, 192444036, 519385543, 863633155, 632958168, 805228021, 597726784, 445117631, 945306305, 652218659, 702207465, 928911805, 984482742, 584429906, 702928876, 962292494, 952069223, 435485092, 977705066, 358987145, 965879954, 846014219, 583044688, 221506755, 376581195, 901195607, 136417385, 471448395, 988727094, 720939150, 167683559, 289287305, 237062080, 227625425, 95765024, 523019585, 911131599, 916657507, 235744473, 264586789, 650375957, 21278225, 322877419, 534956862, 65142945, 207164080, 412577293, 236698399, 415466325, 35044311, 607500564, 323521473, 104546821, 493836617, 627732955, 244929518, 194116809, 823735298, 75412787, 286333094, 575738484, 406552821, 949876463, 454033455, 127615716, 63599387, 248902419, 543283401, 827040942, 597088274, 464663718, 70801270, 503694485, 739436130, 793351815, 86187037, 745793826, 67757025, 815178335, 804185060, 396509277, 352558005, 584686909, 426204879, 662205226, 30645961, 574226735, 898725912, 417490804, 627656384, 989039546, 529838682, 148253772, 57695215, 83485749, 920635026, 806247634, 496755410, 739373926, 493671140, 476056085, 975397154, 673924673, 110949088, 24956187, 275458074, 191202126, 875503129, 624102564, 993448207, 135230123, 444620806, 978740284, 251544104, 606062024, 218217864, 470875597, 152047928, 83756252, 992479154, 663075320, 799485823, 938344264, 537932167, 945959906, 371193914, 432098964, 351774996, 522865845, 558241995, 800205675, 574721633, 792016903, 625733095, 683430121, 805172678, 750865396, 923208764, 635499644, 453445541, 277420911, 76921109, 836046427, 760571086, 751629600, 663474170, 322241151, 576611210, 231320655, 289673826, 656395732, 265844534, 298931073, 69939028, 447549195, 259878972, 211513085, 552119613, 338657612, 896992981, 271108571, 644853908, 608210120, 667562036, 605439405, 175174104, 714074195, 296878134, 364310949, 349462631, 244966883, 131813135, 258534074, 640223262, 393015697, 959432959, 504637734, 29582834, 607207112, 886849226, 984945956, 427864287, 372464490, 995938842, 205040759, 587438732, 364189507, 634487581, 910802534, 20723340, 992832600, 74383618, 540255983, 178643940, 515304333, 697002019, 891276032, 457279798, 880330865, 156196674, 671464386, 353694316, 616245022, 452584318, 865890288, 692213815, 192854694, 784024323, 526380404, 275020369, 236611918, 167049483, 470125573, 886696210, 128346577, 123509498, 501322194, 747992671, 589325131, 20557281, 267752541, 544445034, 478619007, 358665615, 642544898, 310575894, 729250131, 218718383, 685840054, 755182505, 161335747, 104779653, 497274556, 112539584, 140604702, 722724249, 114978663, 882951608, 73774842, 27515275, 949613311, 822293288, 480843927, 398687573, 557313357, 747278567, 478299696, 730036901, 482774309, 315100133, 326398075, 754929374, 22124239, 308812122, 185080306, 477269220, 934807130, 462450862, 461216332, 555045415, 838890931, 182626124, 798241483, 635710947, 3955116, 635089401, 203974469, 403642, 441094613, 549271549, 678094364, 225244265, 502058387, 827555373, 408597422, 774374424, 78564984, 986873249, 805971185, 488113118, 296890697, 188678363, 650534508, 939023656, 712335322, 1592039, 524604504, 827735120, 98905262, 765178526, 321356743, 805457688, 615850837, 344213225, 473866428, 789428627, 327163611, 814095241, 203768296, 307074401, 988585802, 103231948, 932858164, 963300965, 739997984, 803461939, 698695066, 822233733, 547119767, 770356325, 69073489, 713214265, 95410730, 99055474, 2506809, 265734513, 902491601, 597558802, 713499292, 26574927, 419279433, 885266562, 42856806, 811468396, 259578171, 65762810, 934752106, 934317321, 750743497, 800617882, 27784585, 365585274, 630330414, 322082518, 508054707, 499706678, 441666197, 291394971, 214552982, 417449979, 264242186, 507283058, 974467940, 962032555, 100050859, 326994714, 653190982, 763058455, 112788398, 534012987, 881285456, 706659382, 680299958, 14270206, 536762174, 8670249, 645726452, 231751588, 72834745, 671214185, 158038351, 485580632, 814400712, 160539216, 638678275, 116343253, 432145349, 733755915, 375566454, 574020674, 945942401, 994671464, 726138910, 90268414, 572758825, 598776869, 664942258, 417223974, 528151091, 52039924, 519505567, 715151781, 577293308, 569467608, 923947416, 741666250, 886163163, 908765625, 584305937, 886605588, 197920972, 429716492, 600676760, 89791971, 144690243, 177067030, 838705323, 567169154, 853754432, 818506794, 978524416, 244814710, 295072036, 300511460, 661177167, 465430791, 387806586, 35178273, 966404691, 322969652, 317319303, 271441355, 249613386, 774996725, 770230632, 705096114, 875514064, 514480519, 41870930, 386588785, 631355561, 809381170, 559659682, 987435199, 727449648, 27885941, 286982534, 376452376, 806312998, 763820150, 714149379, 590347896, 275028487, 301792224, 875431535, 154842297, 499239850, 996979165, 442051087, 660032634, 855066738, 817504431, 594899863, 839170061, 574808810, 910058025, 202445624, 819424614, 604506266, 187593671, 795458782, 982408627, 190388222, 66539501, 819894552, 109449551, 551815730, 138427707, 718686425, 325424027, 853298335, 350635873, 254271870, 286420730, 378063951, 757812959, 179863611, 512278302, 604208473, 546119390, 408476561, 975885089, 775155433, 912560899, 361528907, 224213317, 785818728, 382330574, 593435055, 3049416, 342341873, 223660904, 958324914, 498445820, 438784467, 23609675, 670801514, 224128342, 915855771, 568204873, 112674180, 494010177, 679930327, 276321998, 95748372, 651481466, 293729616, 622287685, 531897402, 234970010, 167623426, 976591775, 48464207, 793046571, 879302867, 939252967, 900673271, 764722449, 400670317, 390298060, 741661107, 97291975, 615860962, 374917427, 51141771, 90366775, 549996110, 56738575, 804432113, 897318687, 872741699, 513817778, 646317692, 378340935, 586502881, 939111789, 671310899, 773042077, 316117506, 119832425, 126550698, 322357177, 677955060, 139594989, 66660934, 98604438, 286056356, 413506561, 967271786, 925185029, 547057289, 241234799, 20973757, 303756585, 570469771, 358458676, 642875309, 202033346, 395514480, 127340927, 130155927, 622914628, 263168819, 607135260, 772431455, 805329271, 405730914, 284552024, 978725660, 750564148, 887972248, 521369553, 213319637, 725733271, 196138345, 77276052, 16120543, 183087899, 851836881, 978857989, 646627237, 390044860, 532365562, 68956352, 92151982, 382082281, 279428743, 568550334, 541196261, 891383701, 595643416, 816782801, 564628579, 808504904, 332864535, 43646124, 712669536, 692657966, 702252816, 728252287, 921385943, 291011040, 861432503, 844316702, 703608330, 433124203, 137728672, 912260831, 10788755, 361717181, 603583979, 976196390, 912135729, 164205435, 126515274, 595706121, 206651770, 842457460, 415475079, 505558851, 529389237, 75974270, 81907469, 685289488, 996170527, 10743788, 404101784, 612324872, 46948140, 431320315, 199891061, 531360566, 534978572, 783379028, 404588829, 526882790, 501269090, 29360185, 934559905, 600049059, 930491802, 721052593, 121506896, 117318322, 336574422, 703071355, 867802218, 524004494, 403294329, 529328624, 199766438, 387856338, 201066863, 826312427, 230860127, 401664811, 138054467, 466178485, 786425869, 846981328, 828918982, 26813705, 350297955, 750808002, 847279810, 654458467, 318989954, 279850322, 582724686, 530716661, 207769267, 765562612, 786026920, 197858616, 71466300, 726650354, 984652523, 999935642, 305613574, 542801023, 427502343, 407956760, 14391474, 380735536, 670480931, 641693718, 401942290, 407714521, 671653383, 114869144, 987907964, 160427615, 915329440, 869418214, 770155037, 664844463, 43180135, 168545711, 239479629, 805201598, 955651589, 20687245, 178806002, 868880027, 672610356, 806033607, 304027735, 101465749, 18050953, 177236804, 990059411, 751947054, 83572651, 492263594, 579755793, 88337688, 327142754, 655282189, 156560313, 594778269, 246350684, 425614646, 384353146, 45621067, 430017065, 763352562, 195360968, 707744967, 330244762, 980734244, 11350546, 925023040, 494604491, 109645983, 733456857, 781526638, 774778620, 623166809, 846352856, 40533802, 384053882, 533957030, 506049220, 27411621, 752969920, 770606010, 871882787, 326287859, 532643030, 327689101, 732731186, 686732398, 234214658, 362065542, 591108121, 633268709, 726187757, 771534415, 773373102, 692962841, 460139793, 932444051, 196186309, 634109831, 423471814, 590422037, 404710419, 925958441, 426086976, 36206926, 427247757, 197321079, 857393206, 637432807, 645529433, 281499134, 449063048, 66914723, 823482207, 13663360, 750421351, 917018520, 445194179, 267146737, 349953696, 971035691, 47318453, 204714347, 982129211, 705516410, 134109671, 314368396, 153579740, 769754189, 341012188, 644273372, 184168526, 664680987, 382175847, 897595710, 953188846, 157901401, 6623272, 324411895, 39500340, 861917557, 699505808, 595628060, 399336621, 406266724, 446215823, 185777039, 963546155, 303213193, 772338872, 274203224, 646103995, 722638769, 795290923, 534473675, 440917965, 585977529, 380555784, 205969671, 503722980, 621859330, 978524402, 915245617, 279753588, 173549910, 35132363, 776907769, 235326925, 643765214, 182887085, 960869071, 817410933, 681461437, 733015801, 275977318, 843773276, 784228299, 75959967, 635809403, 716330315, 349903503, 231086842, 916403627, 828459117, 680279965, 924519048, 236194083, 822721129, 538071040, 718010321, 874929884, 491330478, 477822112, 763086454, 124882195, 948797441, 697783226, 951621665, 576773247, 511834351, 780984364, 513457886, 355931958, 459988953, 415418116, 199070362, 853824951, 126995199, 476348276, 733020297, 104903497, 408492762, 285148489, 738054843, 42511272, 523864560, 269236745, 720603332, 41183000, 374270323, 77722088, 942713050, 654839700, 623268294, 478995796, 551904652, 237271718, 931503986, 645209865, 446385239, 420671794, 239276607, 303945172, 561625181, 667012511, 648014184, 219099845, 494080490, 474458068, 312001033, 150563969, 674205499, 351454429, 370890573, 296302475, 809946356, 691238254, 434811867, 289132865, 839403619, 870621080, 233612159, 280249248, 540742236, 538593058, 537403092, 325171612, 636434509, 892866055, 592264551, 249235249, 276316574, 163894902, 611021312, 561570938, 345544652, 833046772, 462162414, 369194321, 563984211, 276954621, 329769128, 182275916, 467556857, 100016303, 595128772, 51445408, 38302155, 528407933, 590298651, 43180779, 811518179, 153773300, 171519648, 803376791, 415949282, 817114465, 702926121, 961888586, 563047977, 554871028, 892424034, 600197113, 102023217, 967685433, 710354346, 297007060, 572495976, 914653866, 420543136, 320375609, 732060881, 181900514, 414104246, 844367071, 61985727, 471935821, 736133721, 224224100, 820188859, 774364484, 658685584, 783567300, 894719885, 902437169, 450293422, 537614304, 603003673, 695527677, 33477364, 373317106, 843541334, 305154916, 452356929, 834788983, 943890885, 445899667, 79851031, 108186146, 452070576, 92387170, 331156868, 275245877, 296416839, 936640360, 685831130, 868812989, 915596066, 678972807, 754249988, 406167568, 160681810, 660958811, 801603577, 947578752, 502651831, 912770141, 437664415, 627559790, 315623856, 263278599, 56070131, 926167700, 147350937, 601383020, 621413940, 343087776, 251881850, 525406698, 265803238, 471572691, 637436028, 587102849, 363901548, 590504900, 891306181, 366371033, 325488875, 667100227, 516704324, 16879300, 362378545, 190040034, 540504494, 975343646, 234430331, 815218222, 461693743, 820876620, 144793822, 142995887, 456319093, 132922305, 752114655, 767188848, 95934703, 613972664, 834423381, 918805792, 235493147, 72559876, 209897844, 992815670, 138900484, 292876180, 315567952, 947986497, 950650058, 380468913, 419365845, 717698624, 130401724, 615955603, 295089303, 139727018, 859088438, 495165904, 641635218, 646776510, 25275977, 568932960, 915466186, 177263414, 123119015, 222808544, 601531433, 320686271, 38657674, 33341563, 540484864, 176427122, 478048767, 711210909, 96693174, 555230597, 218650209, 999282939, 826849027, 720295236, 211238214, 52698506, 613914477, 194109098, 876710066, 740138593, 609597647, 829699314, 193911959, 600063819, 914668029, 402069880, 504001455, 831306027, 495271578, 642362942, 545055197, 322599862, 921843493, 104401477, 244222994, 865026305, 482608882, 279862423, 164476967, 736868035, 188542687, 760615120, 14413673, 847067883, 913467119, 673951911, 492066128, 907837021, 836633958, 312762616, 929953324, 860290954, 174302586, 306718652, 556027318, 691973675, 907135332, 198313673, 884292464, 829716890, 447890050, 341940186, 560612745, 541737591, 726742527, 335317368, 822330113, 875628287, 17438720, 828233949, 416362631, 214929144, 3655356, 164785001, 267643460, 654887575, 894986394, 102336681, 507531493, 447079009, 722100891, 20397053, 17640550, 565513073, 555350345, 592767495, 428176895, 242137443, 476998216, 623941632, 297492083, 579885130, 748672385, 936813735, 146638073, 476767361, 834389850, 658253321, 50349432, 659061798, 67496531, 470026459, 193340410, 514301136, 298893713, 578774448, 138473231, 703492494, 60103250, 898739995, 926685585, 423813353, 175530585, 680684771, 39364359, 283130905, 940338496, 113125389, 157570241, 47994871, 832795239, 5287096, 684437057, 615554685, 96208823, 761568288, 923726072, 995358813, 452670317, 371753118, 511939459, 965163604, 226371662, 20183866, 577406537, 115436603, 615331239, 632008506, 949151680, 460183828, 833132391, 318461745, 839343205, 269025128, 968404852, 821455476, 211957250, 158729405, 659098138, 425183001, 161100921, 286700588, 950509483, 178645800, 748229213, 890509064, 57207506, 623516070, 708365332, 88099293, 518176507, 700815364, 332104718, 697974528, 899117691, 403656851, 238124293, 177788700, 654046185, 210279692, 53715410, 478439060, 145821513, 897727942, 854418278, 413765749, 132758185, 476540988, 315307553, 848485705, 315803239, 10390200, 308922453, 815043257, 712833573, 283271309, 525858563, 427009938, 46003245, 915641768, 225010458, 191377149, 444792935, 664680927, 737914454, 477515571, 635590664, 835569692, 7152073, 501997554, 13932364, 471668042, 86511176, 756563600, 837976086, 755841568, 813963085, 553473580, 715181114, 953336989, 273765479, 675197462, 520153248, 641267624, 463850910, 586355695, 434218453, 613107372, 794543421, 1020046, 645121407, 384033994, 855521433, 838143419, 319343479, 577747873, 839795879, 393362941, 516893158, 82301763, 290362167, 856685045, 247905434, 324047179, 680227096, 397059343, 278976432, 661203055, 206890045, 747767444, 263966943, 524255474, 422212147, 816669601, 237991583, 26848067, 242694713, 154316093, 945187521, 724032888, 148203675, 795503055, 45531841, 240922095, 400387137, 593490876, 410802113, 605077910, 467869353, 114769798, 643420920, 768644737, 604600101, 198026422, 901107088, 966098664, 497700068, 984510086, 616658039, 394513213, 246638263, 663153727, 617467370, 562945366, 265218043, 847516105, 279492707, 836617384, 425971442, 367691207, 887841400, 503666251, 829708904, 616201951, 185966599, 292534372, 460296313, 246522171, 649891094, 888886999, 528523662, 517663184, 785897101, 988035429, 486120222, 158370017, 247343432, 99206430, 892283992, 569724163, 377857525, 647734522, 409790203, 322352773, 846730733, 176163705, 993413861, 155232264, 654867959, 723801216, 259419176, 905445859, 672697451, 40399767, 43603995, 220183154, 294954692, 849566077, 792790812, 303040515, 517692657, 22080115, 53469171, 860233062, 611713004, 740257910, 21628858, 672580967, 7593955, 638089828, 778416092, 457271664, 713404687, 901144298, 900535664, 40531342, 475392485, 198767070, 124663139, 717919240, 934132322, 536521176, 680046757, 592662421, 997223762, 119524533, 664899813, 760523929, 201051606, 311331045, 415806946, 753830269, 412496812, 147548382, 608368035, 194579471, 116084263, 986062917, 999940801, 437534855, 38449069, 54384647, 612885065, 733918673, 169794969, 374219835, 348546857, 723290481, 180481761, 22538372, 549259245, 736514491, 833803556, 359241938, 514046896, 307173066, 538026579, 544430343, 272220015, 617060573, 966698457, 105510039, 659930004, 506529112, 832853879, 220941040, 926095080, 499825836, 296781069, 140097163, 918958313, 92814395, 892839224, 115154020, 1669334, 645032602, 668333186, 494717080, 501577952, 89370274, 648260252, 147084787, 23125469, 371742017, 488512437, 196656685, 609167227, 37884310, 768020659, 36765915, 428090371, 299611919, 966056617, 595916781, 27992170, 110187565, 347338454, 296106245, 499376143, 190262380, 976364813, 388733277, 20458164, 836844912, 675424168, 440540651, 260987632, 197538201, 65570069, 938318065, 208066606, 72169826, 898198784, 739976140, 67660710, 552462689, 211721968, 319356794, 823296503, 348843836, 317729328, 591876466, 351571143, 33153205, 206665763, 21316827, 722227926, 128141207, 554926784, 94943272, 440968713, 560071080, 501315404, 901560510, 661041883, 284158196, 163010720, 796978096, 484608235, 185460979, 582897248, 6416710, 143436971, 226260741, 196744862, 607171540, 703420602, 4245468, 606075394, 402308263, 719825292, 671348888, 758684337, 745097348, 497264234, 697604287, 918632439, 530980022, 436519731, 308544879, 824361791, 994845113, 381649894, 540073170, 676718674, 337866028, 70966995, 306918437, 901227815, 597622729, 523582088, 784340209, 182599319, 608561047, 167502578, 808823195, 508056705, 630383054, 684401167, 744330752, 923247274, 435031887, 832934442, 845125429, 29788829, 243960280, 2564289, 20366529, 631014583, 419398325, 30371791, 166766004, 133463985, 363355516, 782464838, 424939430, 126855619, 22290180, 389086101, 420461061, 556955553, 347296987, 715918163, 367337305, 193271334, 360722279, 560316853, 526316198, 963878882, 373568006, 588778073, 878633476, 184177768, 437611984, 151562606, 662198590, 400701275, 376594002, 104522546, 204970609, 268843498, 748551872, 138635369, 428116776, 299090758, 153409908, 332571776, 127147422, 347901476, 14256459, 37963537, 479191517, 655348984, 500056576, 330696011, 918953611, 803887228, 234725879, 926686411, 723567914, 629879454, 955939381, 185983973, 476720855, 377389831, 991736325, 247774440, 924339126, 328944639, 372139135, 30746903, 865619518, 787362034, 480309016, 935344352, 478254609, 949604089, 681367044, 674086284, 576288736, 104558710, 904907013, 34398891, 911766899, 83583147, 416672108, 529401400, 73099522, 636709918, 900779777, 51034873, 303489032, 312083484, 678253112, 245506416, 203461683, 608974611, 489270666, 880036793, 664203533, 891661301, 2804095, 154192147, 860905245, 715044268, 339761117, 871997873, 60780173, 555715589, 135230786, 306651561, 275955609, 406290494, 682069929, 709184634, 719736247, 796253432, 574436903, 445152394, 707521650, 372432375, 414457367, 433570691, 723731401, 348107849, 571509039, 243727678, 835106433, 753936018, 411762019, 116215490, 15286026, 147017079, 231273084, 266864420, 197777750, 427271733, 115058887, 401850615, 575254191, 336069694, 174508222, 51115836, 720492340, 535245458, 735194248, 575313530, 827544079, 250287243, 789442265, 968220057, 886013656, 718398043, 829456253, 253086529, 480935146, 864334124, 370801299, 500981434, 89885000, 674332296, 91766048, 237234052, 114787108, 628054285, 616895300, 308803462, 141604843, 510611067, 211800585, 258383305, 538507370, 612943068, 127418360, 980299367, 571271532, 817651130, 635872327, 660018072, 680017800, 270785276, 588694653, 993937037, 91729047, 138614043, 64300901, 436153885, 856311564, 307281716, 786197757, 492466916, 55150247, 637799827, 291737391, 306197395, 334367952, 675096250, 535171341, 35105564, 326509034, 702092213, 611975464, 503028040, 188087380, 79929325, 407336906, 671889287, 593162842, 416030260, 615719523, 807960229, 661744918, 838316273, 859436071, 871569305, 765501855, 154840577, 755001489, 666144786, 348068997, 488998370, 779700427, 38345468, 643262701, 509498174, 905227375, 491183951, 492630548, 153139353, 343069959, 801976972, 214053804, 248791388, 866214699, 56565399, 837241217, 240691769, 459146758, 980099187, 62886175, 568700650, 173815688, 96921164, 708626879, 31965500, 512687679, 65574023, 742231721, 915559680, 48437455, 933204085, 763225172, 912261891, 948090827, 798084292, 916916547, 966707075, 700065856, 210963937, 379571648, 846978766, 584864532, 609231764, 440655051, 304524379, 633927846, 46738658, 995320932, 249110868, 187847220, 953313517, 687579615, 81877344, 583342271, 158410804, 703290615, 639023995, 633534132, 181582285, 151382978, 503011822, 292627432, 684530370, 933886687, 733544460, 628909297, 347942319, 263637585, 119755559, 593479292, 398855628, 105944223, 89829342, 214384316, 547082276, 996952400, 889476017, 986820801, 234525462, 714726030, 94573995, 194287341, 551523039, 293993938, 17407829, 998186221, 970015319, 26562866, 732571879, 83384526, 336824733, 880008609, 6622283, 907851385, 368392612, 641240987, 559465269, 245794340, 872751952, 254004691, 899144520, 413399243, 398787510, 702464228, 205930289, 971317457, 995311038, 896068555, 94604044, 506439332, 4525421, 890487787, 239714593, 890155884, 222936380, 809794957, 297886483, 835627849, 794298185, 99599752, 497008734, 40062579, 423568794, 454486976, 726158391, 372636689, 893360805, 549443150, 349026482, 172818696, 134885415, 119273865, 909085311, 606264296, 902540145, 982598355, 318240682, 620338598, 346495516, 961879071, 89684885, 879138238, 611780731, 477956795, 333558486, 419188555, 119388611, 719705490, 694641619, 952629301, 500380852, 484546615, 658112594, 174919436, 573291294, 341425267, 692242050, 728369704, 758897235, 952828418, 47038124, 911226302, 82407010, 398127652, 79199623, 848207030, 44380156, 131701140, 823792444, 99469898, 936544572, 440532809, 366109597, 997718003, 857979138, 356885468, 777226787, 482696700, 572259390, 965415114, 543433947, 119446161, 45117111, 653442769, 38738629, 548170071, 501933239, 989020890, 953294315, 537852787, 288745347, 570444267, 971852376, 289254684, 243671291, 618595801, 588800025, 511757513, 991094535, 951827228, 205056252, 655644882, 844425358, 740018699, 741723617, 740002077, 710375996, 352206755, 956311673, 596690368, 234503169, 678998720, 109002451, 167801007, 773253513, 814689089, 674771042, 584694066, 952677528, 130863541, 946278786, 677130471, 740412761, 194400645, 650638869, 400921381, 63069315, 959653202, 484328420, 241037160, 366140585, 934482926, 721207660, 723063889, 215537287, 587615651, 918480568, 452333009, 739135417, 390158764, 838528392, 553033667, 547211375, 540822338, 940535392, 46220202, 285031622, 72870692, 599207803, 14585891, 553246034, 558183089, 268556482, 737129481, 764631959, 330139990, 67377040, 735108123, 750782183, 759727687, 924062618, 849391813, 572756593, 557649511, 455922732, 165157339, 843974048, 160778373, 169566099, 697068715, 31647665, 824052043, 287114112, 46339934, 550050885, 382928114, 108420237, 674746580, 252223926, 123376108, 567829532, 327638670, 790945042, 308170094, 445359262, 235548571, 243118513, 148520842, 659086789, 668026880, 379705513, 932170970, 307716568, 855175467, 395296817, 639190883, 653049225, 97595854, 791793633, 544709389, 193103137, 219425975, 735281959, 243703471, 763306041, 374483666, 838369298, 992498978, 639253473, 547803011, 383639031, 245043948, 844625039, 316841306, 320509026, 754159067, 400823942, 973800626, 429805070, 122863771, 850691829, 865749942, 115080483, 275585674, 228440964, 137638545, 465947545, 975058262, 264397549, 713118066, 941935905, 7593033, 494206785, 575556865, 281494797, 992266180, 596692491, 347542292, 798232030, 305703874, 474844267, 209109326, 498423357, 330877418, 723179561, 337868996, 7452623, 831131930, 202967560, 335142427, 809752833, 859484418, 632073917, 996965058, 741388417, 652402396, 287151310, 31409926, 875119226, 9319459, 296527219, 868966899, 195642491, 689040885, 299528237, 324724001, 306848304, 139417170, 843523579, 240097071, 993376313, 456123381, 15020355, 925721671, 29088463, 64445687, 585354243, 633012089, 940581352, 511083292, 18657706, 196808956, 595429931, 883385386, 634260849, 261144832, 26356571, 336735998, 337647088, 865752521, 849825310, 382497617, 453776525, 72407340, 507099110, 446874228, 758225897, 684068506, 591438794, 249431821, 729983964, 305490198, 271178924, 245641532, 264983633, 374335978, 370677796, 670035326, 132836486, 291274670, 362778590, 62781286, 563991464, 49998203, 128594057, 414695656, 234876667, 351287459, 954446844, 635466718, 654372788, 61324826, 668988704, 378260576, 93829519, 770211287, 964598146, 977534326, 936017378, 540114112, 587751274, 486934700, 961627845, 304504072, 753996992, 112363365, 364301282, 980794915, 36930460, 636529782, 758986689, 836519912, 21742302, 117727023, 331393166, 183904635, 928243868, 401250250, 678955563, 594345092, 908009695, 261793282, 887020965, 401664969, 791403188, 83576262, 102538832, 298658588, 882017163, 609462730, 912228499, 90889578, 680638849, 705817768, 977596314, 87056142, 869370708, 435535481, 23848002, 264344942, 862681715, 212396864, 925052164, 170524036, 3645807, 189267013, 74596197, 418544773, 628845578, 877730725, 39815300, 151130790, 337863074, 916178421, 552938533, 289215807, 621689275, 775609286, 312392128, 779997964, 739778818, 756016200, 289064309, 128222212, 391722406, 498593025, 819706441, 75885901, 497954257, 777133448, 351412775, 161810140, 226766222, 41810522, 979702354, 888925399, 851147738, 503595926, 675389332, 399814273, 804326985, 266357228, 71241623, 161342573, 271683228, 623009996, 607989034, 64734153, 297862084, 515958467, 423902678, 843213037, 84695643, 48509604, 138072235, 495758895, 524797466, 567255076, 934241597, 34827542, 297850098, 73952001, 383326568, 129158754, 21640925, 144498584, 98480378, 410237571, 626839123, 117557783, 39545461, 720844289, 805063465, 270447093, 913731074, 715238001, 588822135, 201956343, 180662181, 964856668, 317033667, 768209155, 949143379, 668248565, 641033297, 356495854, 580365767, 288875043, 391789824, 258976123, 886103524, 482337620, 473086104, 816334415, 949737667, 768727236, 977207608, 189287698, 190603024, 514142475, 633973954, 977077483, 418768023, 307928665, 659870404, 212307058, 755779302, 161847536, 924725543, 813681466, 750422338, 487929323, 929630104, 483752278, 33049920, 398334893, 26510537, 765781294, 569238289, 520203927, 846247476, 334137773, 203398137, 345801643, 807522726, 766675351, 703884431, 123873030, 541713672, 634185667, 969083505, 723861133, 443875298, 576881629, 554610568, 815609257, 138261723, 923210809, 535907730, 636715143, 916857974, 315843936, 154315421, 353531911, 303980333, 165665766, 163117359, 425984064, 583264162, 462889545, 905945735, 460259903, 792109269, 246864269, 399696160, 670467552, 854048077, 794575679, 976189174, 554584260, 237391658, 435791467, 759577329, 121232721, 439697792, 654175144, 100121694, 781478076, 172713757, 913699543, 17749901, 546062547, 182479739, 917053535, 891613160, 348009709, 378407148, 948299090, 465355362, 548564148, 239068902, 213045242, 123278644, 676705310, 583021430, 445663841, 968459098, 138037680, 852333026, 569115566, 23369747, 475631191, 346387693, 92243116, 52686098, 220225424, 355338546, 538382909, 230078507, 431703849, 360649226, 877600660, 502582596, 744810400, 544680460, 222101509, 820807599, 106703200, 956122749, 153981991, 576784618, 44777979, 3288094, 575610203, 353087029, 479790647, 984123426, 345744741, 837557881, 966564975, 286608254, 970480634, 309795204, 771091986, 697487348, 749486992, 851603872, 587868672, 694634692, 189246182, 350915293, 550999163, 141184329, 517918298, 469829117, 12680272, 629720303, 199756372, 837379094, 322722637, 700555176, 943294563, 187275840, 272702244, 694606634, 229449324, 719152162, 527827402, 385830250, 81040086, 669988275, 756289420, 113468980, 29560874, 331240777, 767866754, 375661873, 346032423, 893772581, 327538816, 272730742, 180560508, 39063572, 907197783, 793169391, 653432866, 478904006, 181037367, 899760775, 801153391, 390936959, 793905204, 717898632, 855439175, 835291830, 701181615, 213083997, 762796196, 831381123, 60260588, 416062411, 977601748, 48708968, 923696777, 51008002, 869853341, 297251993, 592001279, 696404820, 748398586, 757458696, 664293888, 692711084, 594753332, 925696339, 841892500, 149667549, 375416295, 868321652, 11958256, 101836524, 107004414, 747332757, 490589501, 356604511, 230840611, 779565557, 711023894, 374292417, 6888410, 10514769, 874923659, 303479804, 583204698, 421474231, 35461899, 733696213, 514277466, 321026889, 796038404, 699710401, 662435100, 45985020, 40121939, 161982429, 183904178, 533086005, 216477093, 38423014, 615288841, 73828842, 378208598, 406069857, 64178655, 460002841, 274421965, 835814694, 296867364, 185992749, 176780637, 492536082, 585826605, 152731180, 299550027, 334869202, 172492536, 931207928, 400712754, 731716179, 84594932, 270027634, 124138919, 101399511, 278925415, 564169655, 100624546, 764055386, 775449079, 746944776, 856115239, 127656587, 550324711, 116976197, 921933056, 82058154, 374548515, 623426022, 197643794, 654948717, 177667753, 294562379, 413206787, 195312372, 17990018, 771785827, 715197471, 303110093, 390477336, 70280597, 362354153, 936883994, 88926799, 88271662, 210017593, 186273692, 473678617, 8917116, 295039044, 655329686, 943736253, 538866775, 779378472, 208022165, 46411408, 626143454, 161206589, 333948047, 610214655, 432623858, 865448034, 584783817, 735537679, 170744553, 814844570, 97099798, 109057876, 482097351, 666592015, 606430886, 451411733, 18656267, 803207798, 456575295, 155762867, 842221391, 340066485, 390859269, 877383132, 501194417, 630751942, 311578334, 549694738, 241015043, 360819906, 981099651, 122329593, 728620134, 620111007, 674338897, 584352950, 371152544, 45739191, 235973054, 163047210, 350296370, 938907915, 103558668, 281063488, 719525035, 186289364, 304671628, 77846650, 619529922, 445312994, 370513136, 627853863, 915863339, 388136827, 148178928, 118675349, 589559146, 709374322, 29046359, 207184442, 421614262, 571173393, 996999216, 201548028, 34977803, 338975242, 422018112, 923490047, 429092178, 280316830, 921449849, 329563533, 893080485, 729979187, 148010000, 28072732, 278397406, 914987775, 161635896, 592093844, 828455108, 634049660, 275960547, 604588867, 539169729, 162512590, 735439079, 767162671, 454331093, 941842608, 691250441, 874844862, 236488201, 295588767, 776202478, 147640403, 832183408, 150364629, 656498863, 786882467, 106018038, 44014229, 324107588, 711122323, 582844570, 841300476, 323180341, 46981865, 802384313, 294049674, 607464493, 82548850, 414376626, 765350423, 222150314, 770451120, 322320766, 432231114, 310449255, 908654734, 198007268, 639868488, 437560953, 731759748, 588203707, 688352256, 266739643, 414511254, 248858682, 381464397, 192418237, 269026368, 194448311, 924212743, 507413382, 422370217, 831145461, 576328181, 112747847, 7865546, 920968819, 294622308, 309057742, 540353875, 728611328, 443204132, 45848007, 38489785, 196535267, 443068511, 526990794, 663953718, 77513005, 645475018, 755048298, 675197796, 366369044, 598640143, 619043494, 488733124, 688426316, 111193688, 231425791, 183341843, 716716540, 502992386, 152795518, 781344756, 436658406, 321260580, 892357972, 714965045, 536527256, 661208371, 659720095, 591157269, 810419991, 317909271, 33531219, 759818806, 670719810, 461801784, 443719651, 823957255, 868673953, 675459829, 412548998, 339161234, 46805176, 587687150, 983512154, 840547438, 285783998, 241104924, 59686202, 546441718, 626116793, 812294585, 797389015, 917879336, 44503950, 308556441, 636731104, 220790106, 323285683, 383694865, 166324805, 690725662, 315346127, 358411002, 322549766, 880369824, 129889095, 366765895, 504147994, 606764823, 914721706, 7398589, 998846607, 612329302, 18091262, 921318624, 741972518, 502281651, 194196286, 327765225, 185800077, 237051549, 111393562, 745059228, 833130819, 211095503, 634277700, 244002354, 560696185, 848935838, 382843033, 357278003, 649331897, 219893898, 728063519, 120271831, 295472083, 25079353, 268926476, 344021173, 169678146, 975538923, 9032007, 137496496, 356045166, 544757287, 330822484, 950308613, 84953750, 703842091, 781762770, 854238852, 613311760, 322172867, 468062724, 693331404, 350646734, 803224052, 704397952, 512141909, 419016142, 38692978, 659025690, 38830520, 836158070, 995498534, 164019865, 229851653, 77333295, 482051567, 200554771, 422152368, 748694059, 868085754, 164037222, 656309841, 890660765, 260551617, 852599137, 773489216, 336262588, 292944997, 76626902, 570610493, 881226487, 417660601, 502500087, 165706491, 560328029, 26363355, 596369154, 171691966, 314673153, 897360718, 922064751, 440384156, 993345165, 421741134, 261212731, 569787882, 40518085, 345517012, 927591966, 863974782, 856100760, 324445435, 501709412, 733855591, 595165462, 851549665, 833485632, 608897633, 39334093, 641452582, 135813115, 717426384, 973481355, 696759493, 602957670, 687502545, 266714610, 573584016, 78678407, 396593827, 589368010, 326570276, 182339910, 405796502, 620392282, 906042067, 992982272, 979005061, 709193702, 281092031, 473430072, 591445429, 878619911, 666336907, 221578948, 254519201, 422051275, 466401908, 815091455, 544758592, 346978033, 310182341, 658859074, 410138301, 914606511, 527137172, 504838568, 361676942, 737666945, 158120835, 405066896, 639207709, 420334803, 476543625, 538302495, 744609572, 565845387, 868655433, 564997925, 941188460, 281360055, 417874935, 510230137, 812478435, 619936385, 208803220, 466184000, 370581880, 962929043, 10098295, 237710701, 452536679, 641503329, 363854061, 458954230, 505190210, 159453231, 341666089, 997485490, 675177824, 9654666, 762010718, 213302796, 579766030, 788740823, 295273855, 725883142, 104724655, 621797573, 330246116, 74380411, 103379362, 915454016, 137927424, 862058143, 9217396, 522555888, 798652790, 367873928, 200170735, 565650568, 865722312, 267238412, 25000728, 856364469, 813972861, 694363077, 139121707, 211579708, 601395610, 503557733, 769496101, 693179641, 48047359, 466998202, 18549990, 900944339, 87186498, 901898147, 874663700, 581726955, 57381273, 384326840, 118792183, 267422300, 737513091, 1673791, 712741603, 778866979, 830087227, 168341695, 22451972, 422464357, 816521070, 785606429, 70101470, 668499892, 286402479, 773283615, 200566839, 330032557, 252848342, 770200903, 703202841, 477598901, 876344525, 782747962, 121593342, 423075188, 174753167, 336541407, 979341468, 116192292, 51813357, 255941034, 798219333, 737548673, 674982490, 851184496, 64169224, 130821456, 995642022, 549269646, 740033922, 341608247, 125957279, 233646173, 237063735, 949551915, 433355380, 514872954, 830677573, 693679763, 700648574, 72261095, 9612242, 484790378, 70035443, 470257148, 194274107, 40611221, 778652187, 99176294, 21348349, 198913019, 876912404, 700907330, 577488375, 168046264, 639349239, 56415561, 114470778, 275415578, 162984811, 793508285, 330741348, 450025522, 193407300, 962554720, 896445440, 934075192, 351457674, 147786517, 659318098, 321504728, 770948002, 705786938, 597113890, 676562851, 820158972, 768003710, 223006262, 26267736, 331790174, 264555158, 278473456, 654645457, 321828187, 213362161, 234603615, 137339665, 748326446, 782826454, 721400140, 293563326, 227948240, 333921407, 656178134, 957736994, 965788998, 975115241, 380832798, 377829801, 8529762, 237324959, 2491038, 982305035, 26838784, 285903646, 973566180, 150875297, 136201332, 657952633, 68463910, 350537860, 247056371, 763887639, 461867105, 913483919, 691771237, 767994698, 193173470, 903317726, 729410896, 228257154, 169828878, 226391126, 320027954, 547672121, 472753065, 959231222, 310891319, 624278109, 75844588, 238287172, 583523232, 537567468, 708083578, 560331808, 685474188, 166788148, 823873335, 869147558, 952914294, 528995915, 649072740, 634851779, 980004540, 511154182, 252867703, 221314097, 347653273, 91246712, 301627535, 591521456, 577844972, 773613478, 81404825, 275344645, 246264040, 473042974, 685092659, 677062329, 969388423, 754119136, 47798720, 924245858, 447118416, 581152063, 652134340, 125386500, 988932588, 96773876, 457424102, 894543525, 381015787, 268371255, 539213654, 165739841, 107362182, 655586385, 487408855, 837636509, 93797859, 597409802, 62443767, 53854118, 889523522, 813380317, 41999690, 428404381, 78850539, 587905971, 188491176, 733212436, 420673705, 280815020, 240706289, 486139591, 679542839, 760174466, 962237249, 611893687, 889967068, 638835881, 893396210, 129740952, 75436709, 680615210, 293351780, 57444098, 304127551, 106389804, 374499615, 216348081, 690839620, 439949845, 338726038, 864638532, 320996580, 420720273, 301225863, 50924307, 918750369, 527985804, 413900299, 72980712, 250446955, 456425406, 311928624, 611264145, 64653101, 53141676, 390277773, 253867013, 843248491, 564596423, 338597031, 589929655, 730856601, 777642183, 686570097, 984187843, 559475472, 947212965, 792636361, 428604843, 562038006, 207099603, 608663954, 788440291, 203046907, 866750296, 841929807, 128465925, 706431626, 786608379, 610905143, 197775914, 264178956, 679926802, 627902295, 878031322, 975280916, 299558479, 336876619, 844495477, 691717459, 543571157, 509386487, 24217262, 627638381, 127289052, 492643143, 2141566, 734525065, 675471864, 253203213, 191583088, 248121575, 571410940, 510654243, 198911528, 520403733, 34470506, 481195397, 283978720, 304284951, 818501300, 755491402, 616167685, 960985571, 167844067, 69489618, 115517223, 318086233, 232340057, 883095378, 410209177, 404723381, 200825899, 365790913, 842173353, 168514405, 379878447, 535470158, 601436505, 782775711, 222728212, 93003591, 290680615, 577777854, 461443927, 997661957, 827059267, 222424238, 970741470, 140221610, 206884084, 510989527, 801571951, 668501487, 218104412, 523963227, 349513369, 324573817, 32499887, 610058419, 28541809, 193810162, 706393275, 447742303, 927474462, 56310162, 223217715, 605244261, 78902666, 310865992, 683257517, 340835538, 848131976, 435739421, 671438384, 372312368, 763822488, 263435126, 273420085, 674733217, 421748835, 218884179, 790339646, 896681999, 423591434, 799107370, 788912572, 50792677, 73828673, 976816517, 324312260, 28806446, 26448685, 579616971, 77979712, 206182438, 556368551, 313629938, 587892506, 637467992, 196064211, 507488517, 728672498, 571001913, 318897325, 118415189, 697824005, 142382857, 688458389, 342765785, 222936456, 823454981, 912392653, 893149161, 245221430, 791284311, 496037899, 953909771, 877770043, 772466319, 371547921, 696126197, 106317898, 457294656, 748415498, 522892518, 577174075, 200292696, 580395742, 390278813, 906411897, 711652594, 402067075, 522649966, 821757693, 907459880, 91251625, 353645650, 261555659, 402733514, 262814470, 442981268, 823736374, 39155952, 203362003, 263638177, 197787991, 625968150, 414867546, 650078641, 932761629, 541985224, 918541648, 471847793, 184809963, 308499121, 413285059, 315538622, 855225203, 523224772, 341295582, 540928023, 26158701, 779890975, 979095355, 86072097, 100447974, 650159067, 642214508, 663631945, 943157801, 972372101, 766972831, 221148846, 861250446, 477981749, 767618087, 869366637, 693511845, 278437772, 541661620, 603397742, 7558861, 717156300, 436238781, 974677566, 317794876, 708315481, 777418716, 369568081, 843678669, 229405123, 757934114, 514544346, 921500798, 989444082, 270974501, 280641071, 212377751, 845538993, 566866336, 237246672, 464611523, 899050419, 479403466, 276108263, 977284813, 752372591, 610881631, 364596077, 685228662, 594537672, 128435893, 916208917, 879577076, 56548626, 669395403, 364441374, 420287662, 181070845, 955928713, 884049410, 798174712, 687288182, 337844648, 73504197, 521419448, 358361564, 599541635, 39583603, 936489373, 873481845, 358426664, 465852698, 760393265, 997846540, 502965772, 786102692, 768481823, 159205080, 169332222, 506022761, 977619585, 384142171, 418314004, 224072450, 2583192, 235219992, 560002824, 158070061, 318113108, 876734750, 450168680, 221006594, 792333743, 58228918, 814963828, 430949668, 823264536, 417350813, 164784888, 978826994, 197683647, 892368149, 73219681, 383530616, 159618498, 45702277, 206821692, 828132622, 923966555, 951662371, 67423613, 445012954, 818326614, 22882712, 95880755, 656318470, 113358876, 568977145, 233333078, 905650167, 356876213, 265887495, 693459227, 680168100, 814683704, 722640893, 482726557, 716094685, 784348493, 271339206, 691309172, 629515513, 747445815, 243920063, 820425165, 688345894, 77627900, 276166473, 738032293, 652673130, 25794318, 525513535, 25390286, 269097131, 714086524, 967385267, 865761104, 489078914, 207020084, 964721365, 727243753, 216034184, 155539400, 436464710, 425989023, 527091048, 404385710, 912148101, 189938433, 49559422, 620363861, 888365503, 259075044, 704087273, 614542101, 812979997, 109776375, 872927405, 143212089, 52877135, 710517719, 246301141, 755827165, 712471190, 894041596, 346440258, 326283250, 937670985, 637825875, 833297189, 725755383, 463801901, 154634133, 887980225, 126896256, 8356055, 41445869, 267293347, 166897664, 803130721, 882771272, 94095371, 595498686, 145562619, 763011176, 204316838, 642964248, 43025905, 27564571, 574573954, 491014345, 457058920, 784945035, 430644207, 997628978, 372523541, 321844904, 222732328, 607432880, 350286161, 692797463, 34771348, 280468417, 318960747, 441920192, 418096875, 786033218, 352392063, 783937023, 411780277, 116546542, 152069736, 900947673, 94739282, 992348776, 482574657, 594345635, 461194232, 817007189, 217921374, 559060992, 769743281, 767399213, 145755354, 783943296, 190438278, 786401027, 580490158, 386271572, 898282104, 244357270, 374532240, 108651191, 722598934, 583485816, 484822492, 553800948, 761046908, 469661844, 513986865, 388154041, 26953634, 708047879, 911043341, 477248857, 676929285, 350360228, 1147943, 745541103, 580606833, 944461511, 762917369, 89099707, 973185815, 831965917, 147140762, 189401564, 798150129, 81603696, 953272764, 415872692, 739137665, 96766098, 896060594, 966486248, 338292840, 748366569, 348009531, 281248812, 502309536, 374539160, 784978215, 406575734, 42261256, 642341950, 447914001, 630305320, 908123821, 477758118, 144401278, 901533125, 714592090, 311043831, 728722177, 234302332, 543618579, 743683292, 115845881, 945845431, 289122549, 290364939, 742992073, 309769268, 586360882, 116875857, 966180569, 681730571, 677677541, 74517024, 334283359, 376492878, 446115460, 340797265, 185313847, 425511116, 197429403, 977089547, 867748503, 249784285, 527794307, 182212983, 840725739, 251491121, 28204417, 162373009, 814960156, 480667456, 917238619, 885365909, 601724532, 460982040, 944715107, 354012563, 562580301, 627281358, 493882922, 146205800, 720768777, 358354103, 748178905, 66766518, 958922899, 63302523, 560848975, 283844532, 413847699, 13510360, 894415164, 570375351, 270871610, 143288243, 204007157, 983739022, 118628985, 664574790, 215266720, 568380631, 750912899, 993006184, 782343079, 239644487, 513118193, 676294376, 452362659, 722992633, 273750868, 623588101, 933698416, 465311637, 265360501, 702936784, 802695075, 925424372, 947282294, 826238565, 880730363, 169933401, 742304736, 193896226, 426081214, 985316118, 648798321, 585004242, 801444525, 730422905, 94179851, 609519021, 31418846, 354185126, 559818288, 73271117, 521518879, 753830664, 560309551, 33190199, 734095831, 707736656, 912557723, 953411522, 548206249, 515539812, 520370562, 557311449, 580044600, 345485879, 263197735, 971322729, 639854263, 663425595, 871361883, 686463593, 216861866, 48908105, 454905422, 802408682, 645669233, 366221972, 858795455, 213437335, 678890900, 820038443, 89636186, 391581430, 550541485, 73531233, 242504987, 690762442, 344059698, 318627989, 542808544, 963814554, 863089201, 97571340, 889029365, 211284334, 75132742, 21223487, 411066284, 31113544, 294610365, 758808752, 891576713, 265533304, 111279579, 705482653, 621541466, 739256579, 826669809, 76743837, 149412573, 480597551, 937197024, 82103462, 647770201, 739185201, 415112520, 285530639, 926979842, 497534341, 732101922, 115633796, 364581963, 200446602, 869907871, 88205684, 730973548, 559952528, 38857217, 830644927, 236407670, 828985431, 715299764, 738421124, 872255993, 446766237, 609140255, 205963657, 197592069, 811864306, 837817332, 318767867, 134185222, 381457407, 759949340, 771500490, 202662200, 81953023, 311296320, 986118258, 656420949, 651553697, 765157923, 565976071, 522791031, 562809604, 175716133, 534128490, 932109233, 565436859, 827728835, 993564668, 429853684, 629626719, 971432997, 736379548, 319356040, 440857621, 442845761, 770307713, 79508375, 4470205, 238457189, 203265012, 910542151, 598310294, 998084415, 938403016, 975164596, 641794677, 859793144, 482520126, 946006900, 307156824, 806275165, 482814829, 704301824, 669065153, 907047496, 493010019, 451220141, 248279844, 867634218, 787144314, 641648710, 457781895, 473838354, 304109249, 667118133, 389048804, 569560448, 53724592, 829362208, 384157396, 375417869, 585567992, 541317987, 391914995, 258019496, 313252152, 610342360, 255241665, 123714709, 654291484, 698097023, 441973734, 438392624, 151859827, 952586979, 297534805, 951137250, 523155871, 105596295, 990982975, 865886278, 495736295, 532350311, 18456226, 507956234, 296092520, 454946850, 325278574, 294138234, 976912219, 558193586, 345350806, 970434581, 573842878, 139335585, 339101999, 247797979, 580693866, 581313543, 8914838, 851089948, 170649446, 485524397, 781900688, 788295104, 68253555, 362916012, 452219872, 999849035, 255227005, 800312622, 802431840, 192123196, 323933173, 865311084, 782710459, 418328642, 371149591, 197698298, 980337061, 643355867, 430405789, 677196738, 381678385, 528486387, 11314128, 505259594, 374557826, 592473736, 405761052, 504515117, 636824693, 552713104, 619092744, 322409136, 398413861, 150722187, 715616633, 179063477, 330636904, 823042256, 300113908, 105937171, 5324654, 737320329, 483098270, 223251367, 779056835, 944836892, 750395096, 568284577, 750198091, 545781894, 810798022, 846694164, 662344319, 100394131, 426382257, 86416706, 63467792, 4724602, 398277517, 273449346, 47373084, 553543298, 628228272, 187572765, 769730078, 887015843, 809852168, 508364146, 116582117, 547407150, 272718995, 217784517, 720291871, 286866203, 834600344, 104458880, 502746258, 144301389, 157636463, 895711148, 222489371, 680854485, 99080642, 243744773, 145313646, 44775274, 330645754, 929438944, 774013617, 894023302, 119673146, 279480661, 23225101, 880386161, 400561248, 236752047, 483043477, 880486499, 323744514, 353906237, 522351916, 774433100, 825669369, 260477946, 493374523, 241256788, 372972530, 95742030, 287039515, 698670810, 603502356, 657652103, 649859053, 912984071, 743827797, 702920742, 968728150, 365180886, 522163153, 490378886, 969768816, 164734787, 544598594, 187393029, 727175937, 253552409, 101872466, 123195884, 528261612, 225320260, 154211301, 922507862, 531675716, 466566939, 802863731, 800188732, 329237837, 579043098, 313098750, 837031367, 728437447, 629564699, 310210767, 452886945, 104219144, 631736786, 768162725, 777492046, 9608241, 553979147, 271027186, 960753097, 191326137, 587966273, 589795612, 332879269, 414387126, 764650545, 519607759, 119639797, 88240680, 77355526, 122760679, 458449498, 628668069, 631812541, 266075580, 264768759, 698104336, 374704106, 932613033, 310630430, 832776034, 65563254, 542081269, 719674847, 908164446, 3873669, 912157460, 21782389, 778809401, 361949088, 177125034, 952424076, 194921116, 595176932, 757449166, 809080845, 676109381, 186486107, 83435077, 476595420, 235237333, 529073335, 840152386, 61623270, 173062769, 38149479, 68230606, 847622306, 392307168, 284599849, 617625918, 400328040, 738656642, 588764161, 797630380, 410136425, 906628267, 722686186, 817735111, 436184444, 474887103, 165296275, 272142047, 790020157, 17793683, 140787485, 61150645, 126766523, 708098114, 539240980, 226050501, 864755609, 764929193, 562399660, 872294579, 79792192, 261915425, 848033336, 460171127, 495409616, 196156281, 288777934, 763731884, 257699960, 338296126, 144520210, 196347491, 988375478, 784151668, 34450913, 686494283, 60726186, 384554068, 671755671, 305590282, 939504672, 950051204, 746567810, 778037578, 449231426, 958507022, 309522501, 445864758, 569018906, 320854731, 616666768, 910041839, 328895507, 51915519, 156299669, 632807612, 888316197, 366755383, 795753061, 764561616, 239268373, 144307349, 261131472, 602820768, 285440807, 759468641, 266229776, 89054182, 465011002, 489802595, 536524130, 448460904, 497606315, 532495788, 643080597, 951267367, 924812288, 994762580, 715952455, 941561865, 680906369, 965854785, 224080307, 263527011, 827852920, 197553215, 264677755, 404578494, 209640709, 14861637, 796859581, 584106661, 349761193, 562190828, 899754425, 989142398, 733729082, 927070191, 173430587, 265302998, 489015487, 204036919, 337563357, 743817250, 880599210, 773343240, 204714488, 624179832, 535449044, 512066507, 47258276, 722506270, 196688546, 679007165, 881407266, 459841188, 20926735, 677307136, 755554977, 203306428, 939898604, 508368015, 168807091, 573349011, 295048108, 749736367, 220876916, 826805891, 132651737, 820028656, 962935577, 928761303, 493737600, 311176158, 783624020, 832078687, 547449131, 954608444, 987748971, 730310087, 127501410, 376041906, 12654847, 663363389, 549848640, 187064132, 128790419, 193670644, 526587794, 635279021, 772273428, 439059629, 668522382, 857321532, 331953752, 659332694, 126380697, 357917227, 609614343, 79063964, 650912720, 311332959, 358396615, 303027597, 615122419, 727980017, 497133939, 443811340, 988181783, 611850025, 298340495, 21120222, 971965787, 569816863, 129503834, 635049509, 483389763, 204583678, 671260458, 522716347, 630761221, 363944909, 534550195, 18567462, 632077363, 264851141, 813391116, 988135772, 522582766, 339064638, 27316734, 210090067, 551833945, 267719775, 568446732, 644044664, 749156338, 366845484, 393062727, 647728174, 700172306, 258621578, 880523333, 802104638, 345221126, 484992340, 987171469, 246752683, 545790285, 67091513, 50673214, 565705219, 125065995, 906656760, 310188114, 170582570, 568314068, 351725581, 244019138, 565503636, 106963670, 127984744, 578787652, 575685464, 765110670, 931124855, 992377631, 75539581, 92874379, 24215012, 137876791, 42052658, 692471577, 690905019, 90978287, 406738704, 570825033, 90172233, 72746215, 563099042, 654305196, 605133470, 585128547, 348748595, 901604971, 144737305, 117823255, 978783048, 310505589, 228804406, 297178064, 974900529, 748541366, 540653153, 685748783, 484957694, 968875043, 980616849, 354673352, 408223642, 145919730, 912726603, 230678678, 855387434, 900669461, 935358630, 139230379, 206823635, 487981741, 181008120, 106532957, 614282824, 757785606, 980847116, 394401705, 335868236, 924070556, 540580120, 342050451, 634536569, 460705597, 34081551, 300825458, 695027998, 11314587, 138236557, 794641000, 520080071, 741088935, 241281604, 548126171, 188092905, 508984427, 18132874, 138907285, 259820075, 592629183, 865851088, 461193341, 240952179, 296874376, 160596216, 194827639, 926760476, 176267791, 451060867, 383127452, 709634343, 312340026, 164131335, 902499075, 857015850, 421553833, 927531520, 763161785, 325100699, 975820691, 476570355, 566332124, 952051079, 26539165, 576335309, 487703144, 47288769, 681729610, 509561599, 206027596, 579696436, 866907860, 174781714, 713321003, 293270690, 936487312, 656762376, 888988459, 41925133, 404352595, 584845545, 112225746, 899424034, 187356581, 584074328, 244005259, 815095548, 158872322, 492536236, 358608008, 14710447, 285346726, 622504824, 223361831, 157500976, 291153974, 427466235, 422451645, 916873363, 684920272, 19751975, 690452734, 321844035, 728403332, 207990035, 116238562, 955725757, 628292393, 983454292, 200589999, 365712301, 319699308, 722923098, 559513296, 457235542, 161114850, 549153314, 390519393, 78604226, 487693296, 602911244, 993626858, 807459933, 636765173, 103129286, 381666842, 619036744, 868391306, 127688466, 688161222, 97893105, 112584430, 607979283, 34549114, 859666652, 536524708, 482909910, 953551361, 973560825, 597302570, 554737604, 411427400, 921192819, 506451512, 733441022, 71085910, 277881573, 738521574, 842300194, 767618698, 192407979, 628827892, 145745607, 157238231, 696650942, 69809672, 97519029, 219035922, 975890162, 349715732, 976463521, 390243942, 481647877, 259600062, 441921512, 238947130, 354277475, 904294732, 83274657, 668531261, 725830362, 643435797, 149756796, 235441103, 457753451, 827722995, 350457048, 994405427, 393298660, 637530463, 992893684, 346928471, 101519573, 73285314, 740341377, 651237669, 184373821, 783384103, 547243893, 153328407, 22609554, 570461263, 359800600, 719239782, 971124337, 800057362, 299380175, 474678593, 357445895, 555082836, 373011509, 561868118, 519230795, 239028462, 202091383, 932884975, 224025863, 953772041, 363476907, 225659652, 999486858, 229995555, 198061702, 91650129, 707719157, 163132156, 766203165, 507609103, 304633283, 666363032, 325965478, 693281038, 572746562, 278389415, 156156763, 44557302, 71445366, 834041017, 266459271, 544795332, 562395637, 922820704, 494339832, 148014461, 731733123, 257906147, 821309928, 866718860, 952669950, 213975390, 977572434, 40403999, 111604379, 272893517, 176259950, 984793395, 928283675, 123507413, 415653739, 234903675, 41778588, 100419384, 165950749, 697574664, 622976287, 148203639, 907752714, 700856552, 741802741, 761484176, 934068556, 399236902, 505579215, 901921484, 213611441, 82261048, 785702093, 467476707, 427929464, 140973057, 832665284, 2366916, 509321049, 271554775, 194834535, 853972138, 986363264, 362570607, 938170947, 653629774, 519061135, 954786603, 894743456, 810380469, 76563650, 381240983, 90476865, 797757105, 568506537, 792447623, 808173311, 870019719, 581058644, 51651027, 10712147, 604680179, 324882177, 730125509, 553361623, 454164915, 656503426, 570505534, 761265282, 238232361, 166462767, 504330852, 74237884, 701458160, 377482893, 135790798, 538441180, 46600668, 655151919, 360698986, 300288975, 807890728, 342833901, 280323106, 829784272, 18879719, 993251176, 260185156, 749103637, 555193741, 182537742, 370535900, 853167077, 881334835, 354015336, 193486549, 107474492, 627261649, 93363505, 200283757, 932813448, 514283671, 732116546, 69754994, 203791371, 6736095, 818891609, 753753157, 933731757, 221609545, 448590221, 717159602, 56277206, 942572136, 404909920, 742469080, 309409984, 68213805, 976198431, 415136053, 69461574, 741954874, 584448704, 752632325, 557718186, 957073503, 920625415, 756041586, 943692675, 50453952, 333816201, 791984168, 638764263, 639137988, 393224740, 124268680, 861503048, 328746373, 860580954, 825918742, 632835667, 759895911, 736706085, 76732489, 183867523, 471553570, 479372425, 894857238, 619090547, 608827866, 504562269, 750112892, 483162967, 524755869, 889170524, 959733221, 1305610, 393138125, 498067281, 140284643, 264031610, 378886432, 139726753, 836378106, 103014658, 523049398, 230949958, 101325638, 629103755, 327585920, 829022994, 832996975, 281046633, 542181370, 890616809, 8066514, 989247851, 305353791, 506105968, 728216203, 578083538, 173232183, 475777282, 580504100, 992032903, 418837253, 614143766, 498945968, 455348525, 790929671, 948530126, 574743267, 51794624, 560347785, 944348091, 518077400, 431578654, 551957818, 421959462, 534052272, 231684498, 205969493, 586299416, 877388765, 978930344, 32374062, 806925909, 400304464, 118606830, 669942829, 190123796, 649980739, 374440510, 264493269, 623068644, 857123944, 501639148, 138648533, 589184265, 700221406, 579901665, 680540363, 400196345, 972213646, 628671825, 154673716, 91917455, 255840552, 983765110, 314252176, 691591290, 355550045, 611383258, 356672793, 100459445, 485347651, 837651386, 985195305, 652181785, 44456769, 702817904, 592969118, 743058772, 84607726, 614531568, 227435602, 905748821, 988396164, 825722365, 202494537, 988873499, 641999066, 260163073, 784337193, 850763625, 770390685, 407281685, 390673261, 228515432, 481104248, 840137246, 18061815, 422044279, 245150661, 432154035, 218780795, 746265680, 665823434, 496880541, 57820039, 243737401, 124735897, 246376449, 809643976, 764355122, 484208912, 584892380, 531349221, 445108906, 110604337, 829529337, 256576653, 413057015, 825711736, 74363058, 99192814, 158977575, 36470963, 368641892, 359097779, 256013876, 621485504, 779466231, 28589126, 152603147, 791240144, 451349873, 470503020, 792906797, 532839653, 494658522, 282402971, 716382806, 80553065, 905021953, 132088116, 9209409, 70047955, 128281608, 352393908, 737563898, 145263867, 762643030, 289231650, 954648871, 888366559, 813175924, 92060628, 790480593, 439464868, 541888867, 443305113, 521880856, 600860662, 916027555, 629670053, 224711855, 877854586, 78709954, 340673649, 1405525, 986188671, 178169065, 548411633, 811380430, 54342286, 151822299, 200821575, 458720628, 86034773, 221166951, 912796568, 249534530, 207748931, 58777094, 385642814, 657386417, 348929041, 704216210, 793299311, 866283492, 223087146, 101723232, 610439741, 956984109, 235867732, 991423229, 424495952, 381352101, 161230539, 481422195, 650495857, 143705145, 681770397, 928987968, 936711082, 973291065, 37230060, 944824467, 401994731, 895886165, 697268116, 991481364, 313873237, 337889980, 357002828, 384171837, 861939455, 82621595, 516763579, 153453914, 688772181, 595053473, 532489153, 977074636, 804072482, 220054150, 903855227, 879893590, 261800906, 213969431, 553293367, 168317081, 702530706, 983329619, 477457294, 1754767, 166479690, 667384605, 936909877, 104306727, 445744239, 451507264, 517660616, 230169834, 703398962, 930830949, 89349991, 73245564, 117853156, 10836443, 842309398, 581781568, 771652922, 261569962, 125779591, 543351246, 994562433, 463878752, 479764742, 181523752, 933427601, 436343804, 325944806, 835948704, 330734210, 261263278, 155686133, 108552719, 398644945, 683447201, 762347760, 890770125, 2543570, 822248764, 681803183, 99572627, 39358405, 741905043, 885093805, 26179277, 832781630, 783161033, 605507652, 745788955, 727857475, 397510222, 367860562, 799917998, 757621927, 674918615, 399990754, 902661792, 745644621, 274957336, 732788189, 655507371, 170084296, 473936667, 652060907, 30100180, 647228331, 912931306, 110898876, 32904974, 263329744, 295428969, 955196031, 235663084, 867563600, 160801103, 781801691, 147128877, 949007028, 154582256, 28829082, 190729756, 584037585, 220395121, 28373797, 612989846, 367657805, 671599743, 770536264, 652629998, 322458056, 553916948, 602717700, 327774228, 807026705, 907412648, 341893022, 760724440, 436557497, 350301637, 468835378, 326318388, 812231542, 686026357, 618572303, 863248578, 561890861, 331334429, 593838580, 381506608, 379047607, 28043423, 341267375, 563371843, 662101273, 180421536, 780622656, 391845386, 370694974, 854956739, 897347397, 79661773, 575545232, 834490734, 328018116, 419702480, 315310910, 907942379, 13619022, 502756790, 752608247, 241646720, 881841366, 652960863, 970657804, 67567859, 940143265, 515961903, 308268846, 356031566, 384668244, 616153365, 475908529, 939524671, 507843365, 779487085, 588270173, 390926006, 853109561, 177659608, 93488429, 277261799, 571753786, 999183197, 6719325, 834315694, 299775482, 930491826, 696995669, 350619788, 981413341, 865530263, 494070121, 77118824, 586798734, 840473812, 145961642, 300413643, 975049151, 432212248, 87851635, 617875381, 781029541, 255818186, 802305857, 552168799, 387266455, 942790871, 213394771, 368986175, 801276651, 283354151, 199634821, 260313502, 44990612, 999502978, 437761265, 698873925, 184457511, 454775288, 547089273, 340990362, 13489745, 634211620, 849231367, 5159699, 404062697, 69533213, 97681198, 638148037, 268068711, 632896647, 272313363, 940284948, 960597152, 652355929, 545292276, 326112022, 344772759, 105348267, 911745684, 601609571, 750325621, 111592251, 886275505, 39422328, 17871803, 839435705, 980790154, 811567034, 312785561, 992747864, 817460044, 815261033, 248114432, 276355004, 922883230, 683790275, 785832651, 838648328, 345328733, 691612115, 352074686, 294043517, 805181623, 669951421, 959843154, 568238196, 633174204, 144477427, 503252189, 393388927, 74215147, 36066650, 544781886, 293230732, 519391142, 83144638, 640099821, 228816297, 350857066, 631901410, 717104485, 944555745, 923879235, 98568061, 967533616, 437528785, 902770138, 164342655, 977645533, 430929579, 121678247, 222431533, 396075493, 579271798, 432873038, 800504364, 36809919, 56549150, 729019838, 387971506, 854351588, 625925253, 621804230, 90860798, 754034555, 851235574, 779425975, 737898861, 91477703, 56984502, 871250757, 1264913, 21042737, 788463746, 364002391, 309377787, 292855513, 925450187, 668368479, 267561747, 281139456, 595593391, 298067117, 508721287, 317289536, 148587493, 613126556, 229981093, 279090281, 296954172, 900662825, 121231665, 920892563, 652178542, 805980775, 46107186, 544375905, 40926503, 254553977, 823403767, 619844316, 240997198, 491833370, 547172735, 631547740, 12089767, 994888060, 851456370, 575218530, 509307581, 517475075, 104082106, 297117476, 457512495, 174224765, 192604679, 102865821, 794743399, 942942276, 887904178, 739406563, 672463527, 235603789, 710299870, 846176603, 25873690, 387521477, 880336594, 234774068, 583613345, 764763701, 347507613, 949289568, 684167590, 116179716, 207503073, 466958582, 378805696, 998933869, 537642009, 966438421, 852063011, 910567393, 213815448, 43432548, 433761335, 62800761, 625826805, 383811653, 249409547, 744218045, 573369390, 928687180, 712126217, 45671983, 809305399, 821587488, 959113382, 20912077, 300615908, 633626105, 479311606, 339250551, 624762238, 342855740, 383342410, 684111888, 259446107, 544321873, 901001729, 554685553, 496103191, 758489987, 14493469, 399314907, 151235287, 601826193, 327374626, 340732622, 688307249, 157341463, 936684380, 118784566, 855040211, 718283724, 667701294, 657903532, 531069263, 170619616, 70126781, 290290256, 68225028, 517947972, 105273219, 608654902, 265888009, 672121216, 612496891, 486815888, 763947168, 387002479, 217365683, 772418588, 202042619, 142175617, 443132385, 593016966, 26104785, 699718187, 152789668, 525962092, 833826591, 810720744, 416000497, 244112640, 301459909, 702876510, 444069977, 191690407, 215469938, 781463248, 882359462, 391866182, 535569895, 656560465, 431554761, 935439157, 273407382, 640201257, 201111601, 660383161, 760623988, 337490329, 195168259, 671887240, 441017535, 453517851, 713177431, 75130069, 388906883, 912814870, 753963014, 517790986, 941251464, 463785050, 444859019, 46931780, 847344290, 298291242, 857394604, 792953550, 607783335, 568373546, 965799189, 144881457, 546833135, 679068829, 738209844, 52910751, 925700434, 640399418, 286349524, 681517498, 85062648, 24313210, 726357741, 177933693, 250225993, 298779403, 809752408, 721124259, 529872344, 883106502, 856300278, 293155925, 322670254, 451149465, 588604671, 643372363, 700346119, 932890587, 138759934, 478621058, 745858545, 39463858, 850305651, 401108826, 469756922, 863350851, 703876012, 327633902, 10748953, 245206620, 974431488, 530842641, 541899532, 922477404, 88118400, 49453427, 571591814, 787201417, 4183623, 95562823, 757804434, 377455279, 254333216, 281324559, 575021458, 478779005, 919549683, 704026558, 945141831, 873694462, 798896121, 181927353, 958420301, 754727116, 655732669, 886509913, 553976795, 336030183, 300250596, 141823374, 274300379, 912997458, 115565868, 425475712, 963139266, 540609149, 355875381, 171060967, 653767215, 18434848, 927569889, 160037223, 721746673, 283923693, 575477761, 740528915, 567689627, 143377634, 798089665, 117950977, 62637039, 785279860, 127312632, 58871129, 802825913, 468175560, 979635290, 706235134, 883431604, 762915034, 955272419, 26193161, 995668997, 30692548, 247700284, 222933650, 104296648, 125924088, 963402285, 972509480, 603687058, 517255290, 167688770, 532040958, 293242517, 893427750, 781376835, 219697185, 527666858, 450472782, 872866013, 47190211, 254649036, 531166278, 349684561, 814076815, 454132899, 411555878, 297734845, 212206882, 914792389, 554338412, 890272839, 902634921, 464891875, 823393444, 783255204, 363527720, 998099339, 754839267, 780616460, 336610554, 917784974, 555348486, 412697210, 347569528, 554741901, 479018550, 342897458, 511929128, 303107749, 348355202, 848528395, 434516779, 844688798, 51469151, 92523538, 388366597, 332362368, 791354096, 733326031, 960266412, 600914479, 157886252, 872568652, 484675382, 108250234, 118050132, 941774991, 468770043, 535377580, 766235130, 459083184, 708458698, 741249300, 683518839, 197353681, 147355252, 393546464, 943427692, 13910928, 123647216, 478427589, 641344853, 936002084, 389431232, 899265780, 459788443, 401939225, 395317586, 367112682, 828856370, 366217056, 127884066, 381562183, 70247739, 582226048, 531306214, 832350578, 329702556, 351212747, 99960942, 61194076, 441656964, 829187296, 831797521, 338975397, 17875220, 795805506, 905315098, 598625003, 467520268, 595600848, 321639444, 956300866, 270585629, 687129522, 23262768, 178471648, 822662776, 78248397, 330592244, 530942707, 252531105, 544745905, 669889680, 437996822, 212645271, 604693689, 979101412, 891503346, 299918440, 618362965, 93164921, 37755039, 42507951, 316087737, 914804443, 618536901, 531139169, 15617722, 767040594, 303792626, 804245343, 988247458, 468550089, 719876710, 551187336, 656269843, 876800805, 326570912, 906220176, 749055775, 629415291, 156109368, 940170968, 504753554, 695714047, 252524220, 508744939, 488598037, 642065334, 124526234, 750619279, 20258865, 977387767, 494116741, 81176431, 576610832, 951086458, 74408987, 661744404, 428467765, 972770802, 576128588, 262649465, 784479091, 893979777, 90170002, 508670125, 279726646, 287079062, 831522181, 617175992, 634793445, 743457752, 493679913, 520776664, 885109896, 825956967, 434193499, 81360461, 69437537, 973974344, 448969705, 378462879, 998415997, 731693211, 184206072, 804749779, 276933757, 410569920, 776475599, 291374510, 754199066, 781579726, 238604672, 169767314, 733090112, 786270043, 119203816, 651389543, 146292235, 80835708, 724568534, 521332755, 498375991, 147722278, 142893352, 46464361, 319170580, 174281632, 287996835, 445271151, 281933364, 73498069, 318379380, 33840919, 73839195, 223244948, 495208269, 75794125, 611267756, 800377808, 494083297, 807528630, 368206199, 850468275, 886983662, 570385161, 261210902, 930228543, 584663972, 533636472, 965855613, 294159653, 641599519, 520490296, 328031480, 509906425, 653199067, 716935320, 126263131, 473452177, 469644893, 552266774, 588326919, 71919202, 546704399, 654631863, 607332860, 562321967, 724198122, 619513233, 898422420, 600119169, 244983280, 107578419, 455621537, 462602223, 779674098, 367972828, 358246431, 628466683, 292863158, 263408368, 844281735, 276658450, 481681416, 812588633, 592627588, 690730189, 631345766, 361082383, 234618527, 705729493, 934124290, 299308355, 387966286, 980268675, 632672933, 600770423, 45527305, 424369074, 820645439, 834932032, 818171929, 598487194, 509866714, 905006565, 909143369, 745918804, 963414626, 652155603, 607155386, 180435916, 234623590, 797486826, 421870654, 590357215, 687447759, 780465885, 401824112, 262706384, 211374739, 274660524, 175893836, 240898236, 741197693, 859757372, 72627208, 439831437, 947812150, 783191999, 507155059, 399958818, 574129575, 12070646, 611753879, 97432940, 486990699, 358805393, 812553130, 761768871, 35217120, 236510950, 5096621, 647600410, 638382901, 875267723, 64201396, 99681284, 695774846, 960604115, 636596478, 228069042, 872562997, 678247635, 342919725, 462955955, 258066224, 906448638, 932790563, 653304294, 8683187, 203257886, 601346021, 481445162, 936920612, 61180124, 836952749, 145076771, 407344476, 437590953, 993839252, 495234460, 490261088, 659287647, 626130734, 225834055, 393812989, 33389480, 760410263, 117761702, 759081457, 757198096, 90954553, 634425661, 593119417, 825846405, 865826803, 907395740, 966453984, 672239502, 937129774, 493120405, 22751965, 510019605, 222583035, 568265510, 424018942, 507653341, 330010377, 901825427, 588127426, 984288036, 359152505, 257544735, 588708428, 329843979, 59052836, 151438456, 653619177, 562213922, 816733043, 206369274, 479461755, 613548104, 689636649, 842283740, 730572195, 721441336, 829180661, 868449540, 84624980, 648215073, 879331396, 295312176, 586662101, 762397018, 485941429, 721746889, 862843781, 466863118, 214053806, 155112641, 350337381, 45635958, 396485181, 963542364, 865760578, 293471205, 162335995, 699569777, 385246753, 941855633, 26261696, 818758453, 197788068, 453636284, 144533009, 7293949, 455556245, 837059955, 351579340, 849331356, 265866969, 933983573, 871066503, 420884889, 626179411, 345904714, 717243648, 459062641, 395843590, 53091942, 709135395, 199697497, 262668269, 527431071, 768884774, 773694035, 436046314, 687796445, 325405151, 695265345, 596731315, 980732690, 220885874, 477115348, 502402924, 255155849, 204075831, 169975378, 865373599, 758268773, 658378473, 910799821, 46875477, 412333403, 487004293, 501599028, 419875528, 609798552, 582539048, 942577179, 200381814, 303887505, 305490891, 779057204, 628807761, 102518957, 828222068, 472803029, 669163638, 848266303, 812640491, 152941519, 536751813, 58257948, 580399909, 127615702, 950565365, 996973225, 952933891, 469823054, 300964120, 76309789, 655088877, 61308738, 406688870, 683463391, 817495898, 390734084, 911089002, 744333132, 563271954, 996553951, 425907162, 257555292, 631884237, 204829449, 651371932, 858424481, 432840522, 810560309, 856082923, 780664495, 242402829, 907374821, 562163515, 835013696, 16934307, 845272154, 785509001, 369017104, 768176779, 840120032, 67454982, 163656735, 973466698, 466677143, 907378130, 821874419, 992187122, 133891672, 939565772, 418891727, 202947470, 927513849, 790272520, 213720966, 196770108, 454886675, 779774138, 187281409, 941090949, 688411563, 777409161, 873231173, 648990261, 594212862, 725995494, 826710113, 371656210, 345919351, 422954686, 451638911, 399309252, 644097984, 403261547, 30750100, 907379546, 72239815, 939500797, 909797662, 664817248, 504537149, 604021070, 259420260, 611302283, 452188710, 166762112, 129379316, 696366065, 517035120, 748294504, 929395739, 141295528, 336508626, 639341992, 471908220, 496783788, 5929256, 109090575, 978885824, 393979169, 729860242, 882345675, 350084184, 507692198, 819832473, 495969380, 324558594, 916980203, 710083210, 375891733, 669684555, 780223651, 80607029, 359887434, 905018575, 175994506, 957914682, 916412298, 288737675, 43406432, 162774071, 134519692, 595721610, 3662024, 852886233, 862263605, 869738544, 781951935, 280260186, 868917066, 667199533, 819946646, 478158874, 118174745, 382873610, 860727781, 547653217, 822418292, 25379677, 922599815, 650627162, 665732, 321113672, 348401438, 630402462, 327587761, 227583538, 898030789, 169914437, 223333171, 531579499, 945756743, 255668785, 819301179, 672272705, 980511066, 687238025, 301600639, 986296355, 679327444, 362870071, 612252004, 937469853, 684540915, 7137163, 553421033, 424350669, 237640672, 30455664, 566573672, 461941414, 823590928, 908183417, 31923929, 957726824, 600320913, 788625413, 177315749, 284836116, 600925089, 798298905, 65677576, 143390720, 755607688, 555043304, 468583492, 458387922, 801269520, 311063992, 78001167, 205520141, 143528215, 323634035, 460975518, 835976261, 653211129, 831183478, 32580705, 370649843, 369852723, 482842410, 329134901, 303182512, 628586012, 523445002, 119054118, 643769620, 824321664, 476276000, 82908491, 98070938, 266912415, 195461769, 225810469, 941834950, 919016274, 527472991, 808315256, 889642329, 709529616, 686721196, 150976778, 195924769, 818207977, 678319295, 883799876, 830531152, 759436371, 753236704, 950776945, 534627417, 910686395, 368223451, 652003946, 752378035, 873658559, 771418398, 223925762, 838300765, 70550569, 405005978, 449312605, 289170851, 571606280, 878727493, 758446367, 625039650, 933476236, 185641281, 265338051, 23263761, 977460277, 131853501, 177239684, 249260940, 929255633, 660309409, 703950399, 28287170, 675503915, 16060922, 677957255, 839796259, 920491985, 216686814, 999240701, 234107109, 370552584, 332441659, 887450552, 380407691, 815865797, 507878696, 789783112, 186105252, 828109836, 97446341, 880967583, 62905455, 798346658, 374337244, 452208758, 495386413, 256600543, 488645050, 664958798, 32056452, 295763797, 485262441, 657506774, 859451763, 684498252, 119355183, 856914225, 352118990, 386805816, 267296130, 202063633, 998647475, 98021615, 141475641, 486823634, 7867973, 919128790, 612176836, 934752899, 664271502, 780217163, 900594232, 725243872, 805204536, 726647896, 402276851, 73675026, 580767992, 50802461, 101961959, 410840953, 963200102, 210698348, 638349889, 781197177, 137475940, 583453298, 553686021, 386735522, 631165445, 622148070, 226268677, 50283240, 44369289, 640678861, 419889931, 659020449, 203612462, 775485421, 148903667, 273365418, 171906512, 181978428, 170180152, 657680639, 302545716, 426721938, 453411994, 548472050, 285722925, 800814555, 523004676, 520963984, 788659952, 456076941, 768426744, 44234183, 546770815, 230967288, 99346665, 720654662, 230845990, 629130005, 611483877, 791415614, 927677072, 352045213, 772457850, 90719648, 834087630, 846151172, 699238888, 864597813, 282414648, 677143957, 518941098, 648550903, 564482130, 56485107, 928126641, 140913948, 466308790, 243877803, 313535875, 687290822, 920334063, 338696836, 783728056, 833527243, 943359844, 674795522, 327125209, 851317050, 790898193, 427910505, 130929872, 117534392, 214669821, 251254858, 910214407, 46786992, 242945720, 205538039, 39922242, 768482410, 37935149, 957830011, 860083320, 633209344, 314966427, 160080554, 5068132, 510751574, 71674938, 787661232, 996269166, 113305800, 196139482, 87840208, 861208159, 61478813, 198261304, 649220263, 897274337, 161655706, 852566275, 852708857, 879335054, 621685380, 263087812, 863408478, 923549847, 940370373, 118301612, 324690441, 139928075, 512661402, 137145026, 257566368, 254467241, 281240552, 546044592, 532496807, 5360490, 695331635, 533302414, 412967114, 356290083, 734556371, 61537262, 209458763, 231105814, 62952415, 272358328, 772525527, 170678460, 735801812, 784013968, 915247034, 346442198, 231904726, 668629021, 397695460, 839789134, 173308527, 364506076, 34222942, 244025768, 787154637, 61116923, 874002237, 157983012, 536959498, 177945470, 823278467, 6099843, 115374268, 679940436, 817985012, 275448981, 129981417, 301871400, 665961924, 805521040, 119565591, 924477998, 527157905, 296177816, 877516455, 588542959, 200788276, 256929291, 366665471, 759998572, 412739730, 6071302, 408169794, 521075639, 889700099, 759069348, 653283728, 617426966, 979408602, 238379066, 802959942, 576739654, 140211485, 30250077, 113556455, 9139694, 607541889, 350918866, 643362412, 870003543, 822004748, 827366690, 569070596, 721830530, 618987133, 145036996, 158410266, 201135777, 17659305, 42611987, 657877751, 878530529, 501273811, 755648132, 46875143, 468158706, 833781088, 939207982, 262973558, 180197267, 963411252, 468914979, 240481784, 270441009, 545856676, 455633438, 635429835, 443735293, 787894210, 674192408, 870385513, 647909747, 611122456, 615578829, 402826308, 956051225, 943629033, 549302422, 152191712, 125586750, 472904342, 598131985, 831507292, 198162107, 111679497, 134711267, 897338516, 393017618, 979516601, 874959375, 870110898, 102352012, 614857708, 217226102, 566027801, 14150152, 251508685, 45902598, 175005429, 985862281, 374699638, 541042551, 654906054, 559355773, 110974445, 968331493, 359051760, 630522955, 304730401, 874651776, 284625312, 195088667, 388467853, 867136693, 987254115, 774244778, 47921142, 413465930, 600834718, 50645133, 712051601, 918650227, 251231138, 385204136, 613602087, 538419805, 947735845, 441169950, 364079544, 801332261, 333155666, 964516084, 200690166, 397639294, 790282267, 356166417, 96931493, 572574261, 205620006, 228155186, 219084443, 37556513, 669956660, 266320746, 204702708, 279035551, 537557000, 372593913, 907360408, 296992626, 184774453, 988754429, 646341796, 272449974, 431852017, 765547114, 455653173, 445326037, 461045180, 105963459, 553390742, 912389525, 879219684, 14153611, 21457101, 866835861, 932209863, 66026085, 421808333, 872196606, 953944985, 392105806, 211201548, 533481920, 817421245, 105023958, 903632181, 41632558, 305389569, 890837959, 331603700, 168791944, 349100887, 100286509, 342913393, 802160403, 881876610, 836236443, 254879116, 660802927, 680842704, 377312105, 738176597, 964673635, 29882095, 168655971, 661398051, 432774238, 582131731, 635534895, 542861035, 91319100, 322031513, 745410799, 523050174, 217818130, 271964484, 175464637, 708758035, 549249832, 951908089, 651860364, 884686263, 1134896, 228036796, 38327130, 822274549, 282916945, 339049838, 491060826, 529843200, 881753600, 223025791, 322458407, 261382033, 912302527, 24785097, 432267393, 850406857, 675698488, 988515613, 456235477, 59051024, 650229008, 177839846, 257799726, 712136175, 217117556, 897006590, 166579771, 737327678, 65775487, 81551797, 893302591, 117309513, 831538348, 460806833, 491624105, 212282019, 416088911, 94693522, 766466013, 684547322, 744511399, 72013297, 633707703, 292196425, 391029783, 320947184, 784907024, 389504851, 857832983, 478303596, 634929764, 10195287, 741385909, 131609584, 240527798, 904691944, 462309024, 120865579, 756193563, 13767180, 195379307, 655349585, 839893172, 298234900, 855849308, 555959406, 308619413, 856866643, 473210522, 666818969, 341381285, 107633383, 739841331, 386594279, 534084774, 952500532, 756102475, 689417195, 604701541, 618434285, 355737406, 454617527, 418903054, 876746330, 627722994, 883899977, 401469087, 602080319, 898148909, 827679206, 249020102, 285895522, 848048108, 867367220, 261149548, 45747959, 65181111, 107961285, 123866544, 475649887, 951002988, 146905291, 467694764, 973728531, 730563197, 428314983, 761587336, 551118690, 593049534, 780904160, 12827720, 252950439, 429637180, 697531085, 283991269, 624914945, 256692015, 185388069, 611094331, 231251697, 716908007, 137730151, 245046585, 105849779, 955659016, 480838292, 269764251, 488610961, 309832682, 319013678, 562143702, 301432804, 209120435, 281282735, 874295065, 811940535, 606769098, 57142154, 616128371, 849020857, 745764175, 798697551, 869903294, 140345894, 900486291, 477928786, 987263771, 11375420, 619964357, 961191189, 803628475, 172040302, 317574757, 925427473, 622684805, 778165717, 362319266, 684103149, 157758824, 450539585, 378142643, 69866750, 689298790, 221991267, 864662329, 496879102, 323957402, 14088386, 708403352, 751322066, 479537062, 571019743, 377700987, 221488149, 319679932, 90437572, 979502799, 573233981, 870608772, 803144176, 627611622, 764253377, 672085772, 212646210, 283895536, 823885630, 111037932, 644465283, 879932904, 172092056, 588209182, 766965245, 224777000, 544087478, 589186070, 925350937, 623094895, 770240938, 567622166, 173522847, 420031253, 744152268, 170840006, 375767907, 22516478, 697926128, 699916101, 325697006, 608049927, 627891875, 245872960, 289694776, 937768219, 462319548, 216608416, 467878185, 700699069, 194656072, 586515013, 874806524, 551185547, 808291563, 177617797, 553094583, 115513759, 179191062, 164866712, 679343996, 308112205, 174720774, 589592038, 293547279, 311396294, 733346983, 13593045, 731898664, 602657183, 105204137, 533806595, 884465697, 485674901, 224868878, 78116516, 998308725, 582068219, 315046893, 620783824, 912591868, 219529933, 544987400, 126518852, 861333840, 120047791, 967987412, 666614096, 963889943, 375155270, 893623847, 322789951, 196703420, 839334288, 710135879, 905186098, 493036672, 898432495, 119858870, 799574080, 379792238, 885975853, 400409283, 688689376, 683444878, 690161195, 80234343, 982812904, 255107232, 887122588, 518283071, 473081079, 635912076, 623122894, 851859557, 506596631, 271174566, 252700020, 779182435, 973607466, 105122196, 89801492, 192768051, 152374809, 669903149, 367275421, 619276038, 25322307, 833941329, 820624764, 311749271, 566357205, 948207336, 194472722, 265516015, 521227518, 314506095, 488319010, 538217763, 468986007, 220450701, 160614915, 526544326, 784359843, 655983066, 28351039, 42985772, 18129666, 941856149, 910334509, 698127148, 204317083, 970094576, 61678399, 620240859, 592973363, 655680651, 724528618, 249403415, 66177577, 296937365, 790509693, 344076948, 380845307, 694230913, 932821451, 257367692, 873890073, 451669430, 932716951, 610483693, 80665493, 941894616, 836884482, 732636174, 361307846, 531352328, 691365811, 21523313, 333818794, 258305839, 708401740, 385145697, 334557828, 748208857, 876599090, 966602362, 328716365, 718908562, 773056303, 683849416, 961003614, 49585164, 759138096, 612066044, 876669842, 80601278, 266528601, 167275562, 141707585, 732033420, 920082623, 67167621, 107751958, 907199053, 219195152, 75766421, 289400094, 880319028, 135761394, 456571825, 154553171, 673846720, 340959714, 70262880, 322531028, 834150118, 997897466, 146880515, 900889629, 90630481, 778952407, 584795812, 821195559, 195486474, 570064361, 26978173, 846587676, 398899331, 568613813, 764870261, 254906737, 32642525, 388050003, 333513800, 975479324, 218510483, 768443550, 488671908, 626553749, 117020755, 34779238, 493839034, 182208594, 972969763, 34616493, 380223045, 538960519, 503371837, 691210367, 171023399, 422079712, 286814220, 424487195, 922122158, 738924737, 868229932, 510757485, 202161093, 375783253, 271610870, 670283891, 844577774, 799627859, 125334950, 339914146, 68815094, 829025627, 200778482, 852480068, 979720045, 973509420, 824518378, 666821550, 604277451, 667733781, 800329655, 327443814, 347706800, 687780742, 408637444, 767500535, 395009134, 8824902, 940007289, 685310882, 721154429, 502225272, 921208612, 530228208, 590300458, 430264586, 204250103, 986629833, 808420919, 504805097, 757500657, 801821831, 28220971, 66164332, 346993060, 72304628, 344728971, 36857048, 3175924, 472394935, 92169265, 769653287, 65965678, 314897175, 288463883, 601181932, 570239707, 496875518, 497831374, 408715748, 201658487, 769752678, 346226040, 447508812, 64314175, 316063907, 800663852, 372934160, 317185926, 111486382, 950063543, 183197921, 181156529, 148220101, 513416377, 75613712, 989948469, 809381119, 603597759, 997975504, 470697762, 473365265, 397691882, 99862880, 314722661, 446818965, 800395473, 334723047, 154152191, 755253092, 430471315, 673943459, 555796641, 867602444, 289846013, 100243609, 628070766, 422634268, 220652514, 324836578, 266692207, 102407758, 461897659, 120219001, 622269125, 78749453, 308277874, 932107074, 614337716, 570141034, 605311136, 442736566, 357711393, 427003389, 351007818, 415227317, 713929764, 989310721, 336062896, 746828909, 267765425, 854607652, 302453454, 950364490, 133952754, 326631245, 128421400, 258228003, 484675305, 176376103, 876288008, 151898213, 247938896, 829351610, 756448724, 179917040, 890785035, 425595032, 36318999, 980939718, 487272466, 552506531, 3058245, 964435746, 484615841, 420469931, 577074108, 922427017, 820354264, 64594533, 599502482, 726126443, 516302836, 25224341, 776854079, 189916267, 882074377, 264303184, 485069185, 155056620, 810301641, 467965264, 124310969, 308596684, 450291148, 796594486, 725375723, 494793934, 723724295, 982703271, 95903539, 189720051, 216674255, 954965437, 307318733, 762732073, 536137384, 670427182, 209863533, 427554460, 115355595, 887506503, 291227187, 765939889, 429813212, 711478948, 502020696, 692273415, 131711583, 718748512, 769363628, 928989254, 497675878, 491928053, 113670898, 612697949, 658613792, 726956420, 604485631, 925780283, 265402980, 303438168, 825047463, 626704009, 752203180, 244854201, 511939692, 448221046, 693980440, 846772101, 245540804, 494181830, 821529149, 367503263, 305124963, 446082456, 132713709, 266404348, 37174059, 390309740, 783842144, 647872816, 975428728, 915066198, 240763349, 928943215, 745255960, 745994031, 265915903, 366361042, 333254321, 594127680, 675902845, 819272927, 36475816, 534952569, 51874255, 179169208, 366445028, 767963146, 57670216, 656525280, 630451601, 501305178, 805016351, 34426867, 663496822, 961930989, 338052002, 373382376, 588916255, 568380267, 323933730, 420752166, 138443603, 360453961, 914691863, 129475189, 443732190, 122070758, 420508009, 676007351, 574075962, 433588527, 704804429, 597656138, 667775167, 711480868, 431110530, 596543867, 737577520, 407748451, 564704069, 476511114, 494202646, 934293822, 249088176, 863858010, 173943943, 806646130, 245903820, 731686497, 888310090, 60153136, 407891529, 249421455, 992226626, 478585977, 354849088, 979070170, 436045412, 619649327, 699830308, 263922803, 758710116, 553630215, 728182959, 834801410, 355362230, 358500102, 673777190, 185006843, 356645991, 220354792, 74320232, 727920357, 624698317, 718061189, 372344714, 230053191, 758632923, 265653725, 781382385, 18815310, 76191897, 61241013, 860063344, 971153859, 333947781, 258880559, 414550228, 293347822, 601729421, 851278713, 638608624, 643347398, 453626671, 853137707, 295734741, 795988573, 241367817, 986906792, 392294713, 323988429, 742003273, 796055262, 88528144, 310092912, 213211622, 925842225, 376279601, 692158144, 727251591, 520657412, 151933265, 579281464, 287826946, 217076577, 865204716, 114207293, 456027966, 676984068, 744568237, 758623630, 876817368, 16596897, 641468719, 173026368, 977738789, 58101825, 229453612, 497930335, 155608146, 560036838, 777151770, 266699600, 697399132, 470031817, 848256930, 135971092, 604120287, 487415289, 299105304, 956965477, 934872782, 816245098, 134642098, 67576862, 521148489, 951898128, 531710900, 973571147, 166135469, 145914124, 994009347, 115554051, 981380591, 542854298, 546010093, 194800541, 609049202, 697398439, 157159314, 844164236, 640741566, 933470549, 586221052, 246100695, 423506346, 209681550, 255970112, 846261931, 231945881, 145931689, 73402566, 469793077, 958286891, 707105894, 69330479, 273135265, 895108389, 924907288, 153991670, 270843564, 868750071, 889867049, 26797919, 521792235, 823686813, 787238941, 138816617, 17483670, 118506143, 343395846, 609123310, 463032443, 179655945, 58931218, 12107735, 446553379, 941797092, 550341910, 30796484, 144983746, 866458050, 967978298, 121751131, 306763009, 177230881, 308961773, 118060619, 216064686, 534725961, 737392274, 430418760, 594228686, 219566756, 982416931, 842310249, 945285664, 658193690, 364957206, 623905965, 973537944, 535452536, 550487850, 702462448, 70563259, 598750618, 985480827, 292545921, 615242422, 471804827, 883786558, 61363155, 609305680, 735532102, 189862924, 479212373, 485140732, 433663019, 277821755, 298465935, 440118930, 100734788, 518316660, 4895681, 306177065, 761467333, 808796007, 471906729, 981472621, 98297081, 891004063, 605721453, 418526290, 516911690, 781488275, 997020069, 555640464, 586822188, 154247027, 38484461, 404401001, 777335953, 54829763, 397925511, 391187113, 289763170, 491105850, 969788201, 412587517, 519263767, 428355896, 161551391, 41620798, 781679865, 126259869, 366198821, 690230939, 827933158, 385576589, 231608703, 242887563, 987499762, 950691328, 74043965, 328971985, 920988563, 427817779, 733989025, 805388847, 406639061, 394265637, 977339288, 341029237, 98527599, 276279270, 356076811, 392301297, 842294982, 167835792, 686585025, 118914670, 136850681, 618306421, 980793372, 521029011, 336976146, 834938942, 847365637, 929151126, 874834874, 427118199, 704542249, 552424108, 434783460, 905529502, 726852478, 2742244, 961098133, 389017169, 997957022, 704940740, 137796580, 740671384, 313578321, 260271860, 286811921, 639440814, 985952440, 117113721, 626548526, 699078424, 432526166, 94277281, 352096930, 762853759, 77006242, 45592259, 22062007, 858315706, 456585263, 653723087, 492058875, 887309463, 106197182, 364028827, 655944326, 906284184, 518083769, 797612162, 129144587, 732329862, 877051946, 559803013, 757711997, 262311210, 514167648, 651838173, 826097042, 94735162, 830332325, 677372501, 202333862, 55298115, 333657570, 503567405, 180086814, 385608457, 702014411, 40968963, 602118070, 960765600, 711283617, 436684519, 30919197, 336228650, 166463267, 620008191, 207317032, 228284747, 783199976, 788043489, 165646081, 18194087, 647254026, 1823099, 588459917, 738241589, 892156714, 116034248, 89167915, 887510844, 759119709, 787968104, 984506189, 337478663, 462266627, 111811898, 691045312, 227324864, 7347663, 722515809, 834434580, 757367515, 254612781, 835021991, 691243860, 8279800, 645583386, 790911504, 800329957, 675218730, 469080868, 896629341, 220370114, 50790954, 384698417, 302688956, 966543523, 267489759, 796805677, 640428627, 837673151, 696092032, 253613989, 306557951, 854574708, 857566419, 726486707, 768006861, 766618301, 995179295, 205525275, 238947881, 323572960, 956725034, 869692799, 614174485, 69713676, 363888036, 911653395, 488977250, 258593424, 795581292, 223767118, 926609254, 349471337, 704759548, 409500674, 879439407, 564349087, 139244156, 207120996, 411896070, 453998111, 132984112, 225657553, 833582714, 384966538, 232516823, 534057372, 305956363, 274835151, 799572109, 504973442, 993818135, 747723586, 103065976, 726445754, 98392231, 32237871, 131173106, 627433912, 297616363, 793197584, 643071336, 602943845, 64313501, 464557016, 976450405, 321706306, 702891295, 953155982, 93700079, 385067591, 585890062, 696941175, 772032689, 100307061, 381992000, 885845945, 752820440, 285228433, 533689908, 954209323, 583016594, 129369053, 449814115, 426872220, 765527641, 322401117, 874002637, 77773302, 853185070, 517167846, 265116473, 622822627, 532729226, 433975690, 328383236, 425921253, 782738023, 939632197, 425242621, 870398735, 231052844, 513198904, 231808501, 556495662, 887074364, 528990818, 904935131, 168906933, 755181646, 338458455, 877016386, 715182664, 641133844, 340470042, 846481483, 381800844, 462420544, 749820876, 939827908, 567056822, 838492264, 330250344, 264348480, 228002208, 76095284, 28530699, 47257901, 887503995, 787407829, 15983818, 888405627, 740850289, 133502987, 462913493, 364170704, 383340425, 935000501, 604092918, 488611454, 330169664, 572318145, 718619303, 959357051, 690642536, 873020987, 466936785, 472282687, 539875542, 542866127, 703472855, 292223971, 262314351, 923292239, 2608769, 918560146, 930468721, 541216832, 733219610, 389042305, 448229245, 885798768, 834669473, 123565446, 248112067, 596745013, 800068310, 146118865, 772162807, 620953539, 455950702, 927694028, 783166843, 257519589, 251318171, 115685423, 463969143, 447164810, 891868078, 539194444, 178654407, 44936566, 579775108, 526057627, 933515873, 363648942, 558653501, 731823898, 222758673, 380089997, 752533103, 188100605, 920822291, 656810967, 716399397, 963702468, 651444529, 70028402, 796444429, 218435145, 665762901, 658239423, 879994500, 85935264, 95836082, 623279667, 316523435, 983137175, 506815629, 218247181, 833609939, 500685610, 173739749, 14591764, 547824806, 287118380, 477601753, 523737105, 806969289, 219584492, 610342035, 326168981, 11159360, 828597597, 832514244, 899245870, 645793531, 599222382, 165816450, 747898454, 174393002, 687277376, 722654033, 530113946, 90801132, 191748222, 671163011, 380567230, 904457224, 823476948, 857836637, 890625689, 204367449, 961707799, 301227773, 261028571, 899479705, 734232576, 638494682, 311095824, 565470054, 670092101, 512873223, 510102461, 941594173, 652930704, 513540451, 932892386, 653037147, 326062674, 322383902, 404173842, 840677566, 192454688, 153264054, 965613228, 568085467, 325246899, 253752817, 609631536, 869225059, 162178052, 254554840, 693680098, 659152680, 788239015, 546858231, 614754985, 873616706, 286921505, 970696047, 650747935, 375575264, 57553585, 126309070, 931262836, 261153019, 794375252, 63713418, 911076743, 404182185, 316172916, 491957325, 17370979, 757095598, 141156322, 311226020, 283113778, 700199609, 375121801, 408176820, 774458930, 181302606, 217805162, 201055723, 328451893, 591373725, 7127093, 129041963, 634375453, 873441499, 403473741, 21316931, 361194382, 626334121, 293965290, 200953792, 191589027, 519816374, 14409316, 195077225, 434177354, 123927718, 25479523, 528042380, 534458077, 709332739, 17083251, 566724576, 922556599, 467543962, 664494457, 224512911, 193588339, 862743355, 509252835, 757284486, 614715254, 762242728, 798887523, 212068363, 592047105, 105429681, 470234896, 729511132, 389940435, 968130120, 41745200, 563614542, 879980076, 882784328, 740348697, 59863785, 106920246, 577894037, 710898819, 810444706, 974618264, 879450069, 130892177, 687273038, 709679692, 660944408, 44212594, 435615182, 775495933, 966624627, 624082300, 811819362, 627726253, 429746873, 864451226, 634390303, 499078261, 616173946, 317117873, 302026673, 489799326, 97486109, 41749155, 466727621, 739763990, 825014142, 247920673, 349357924, 390855892, 712376595, 796384612, 948457471, 892966168, 91611643, 183427654, 992399948, 475838680, 796718928, 203254070, 138285398, 712964673, 710900438, 683245971, 217544523, 494204029, 523491646, 365936435, 390678729, 175659471, 598028999, 946804520, 167407918, 828212457, 889379779, 763684710, 44853734, 209917686, 773541949, 983267772, 205394091, 151754236, 421011463, 48050534, 392679555, 402448240, 542527478, 557490328, 440992980, 519248858, 554591511, 490277180, 321447571, 753975946, 940098233, 702304214, 469224538, 571584890, 830001345, 340597497, 833660983, 145944146, 98649480, 581693045, 489117661, 78261234, 88303801, 88076833, 658227111, 243810461, 589368679, 422463915, 407048880, 990078158, 1646385, 253273316, 80974863, 514338923, 70643149, 643013849, 198891153, 126421904, 267759077, 429547306, 126751279, 700146498, 595945573, 79173284, 969485957, 702008961, 512279452, 139737947, 995651721, 788582655, 350590670, 188647053, 295101987, 659640538, 97207258, 724453757, 688599603, 778370217, 67675145, 707993786, 894194755, 35279586, 580741419, 122275162, 495543500, 117789606, 496522580, 676243912, 988881512, 478328282, 196868932, 572749147, 458238947, 443168126, 519002909, 466675952, 998341141, 27807170, 702468369, 360746645, 568104502, 760960293, 893708519, 644392678, 926039664, 817828210, 433483952, 659211466, 165815258, 451241196, 551671955, 663583853, 775688888, 306124507, 91477673, 932069128, 92557221, 844425285, 542397909, 476321511, 793066397, 974558804, 833754985, 316402601, 356056253, 889383946, 864279698, 874457965, 85741837, 442977616, 22126986, 610723398, 798958191, 212712326, 554951671, 257351201, 529289970, 629422022, 459108872, 95780072, 986045896, 335558232, 389606020, 266574428, 983302608, 417804034, 492659581, 399077530, 314147085, 438022693, 477378573, 162579894, 326893321, 763922397, 67822164, 885168603, 566293141, 961841049, 970225136, 372621033, 781904016, 677600894, 590906467, 909602624, 227026146, 163129135, 548368385, 839867899, 959878516, 56812694, 138753574, 734134752, 37323853, 501757647, 842737560, 748492885, 389505751, 354847280, 849755280, 19451867, 123916754, 525166027, 654188105, 978183096, 351093150, 972970582, 621338780, 798794178, 572905848, 803209951, 845301812, 766737732, 389226624, 846689398, 413625069, 490586639, 631586826, 378589688, 836557811, 298154316, 31550638, 575857436, 884666977, 338329041, 666289992, 845821941, 672345682, 498434266, 485997262, 316901288, 362517089, 858639832, 568635741, 9090826, 828720586, 464542139, 819450928, 845756338, 139284947, 822868503, 927587461, 768173705, 686644380, 553145604, 987085641, 712869100, 437206790, 554208782, 216837812, 550494128, 218573020, 994172585, 197382209, 846614905, 844381101, 495973807, 923473273, 770064470, 474553276, 582607329, 928170141, 198273723, 267529348, 162448742, 602663051, 887820245, 894542273, 143165078, 222754070, 270134085, 369397216, 383752744, 923638922, 833746924, 464643367, 939053018, 625039551, 138250407, 684754564, 653888083, 77584811, 153381605, 267764306, 55548030, 670665762, 713113377, 250746560, 796781822, 574872096, 137396558, 97992218, 643567908, 769303843, 238318228, 885306077, 344078609, 455908651, 481375148, 390467196, 756403596, 250543363, 254106239, 305312370, 697823345, 185632939, 303466665, 520706244, 305341095, 724350281, 330350566, 694065866, 566795840, 348183995, 973341959, 16460408, 946195946, 726690204, 233492455, 624485263, 190103870, 898798914, 198358000, 115599517, 397641714, 828132695, 411507287, 63544983, 742148282, 30747595, 416763103, 17061113, 257557708, 186461406, 4381305, 644934287, 510791642, 797186850, 812005925, 696888993, 414092524, 180144570, 775829679, 472129826, 164432295, 124786350, 821282266, 136591359, 759397016, 797603163, 538060212, 152939272, 798360892, 457545364, 371090318, 877856063, 650137909, 267614336, 910958341, 137198102, 127223669, 865663889, 463612153, 722878747, 416860024, 740218237, 328572624, 471695065, 809298608, 234445342, 494969084, 937480286, 109402336, 508398900, 550558476, 514396704, 63571165, 310028486, 608824330, 101996740, 239543383, 561300118, 760193553, 952610873, 769173707, 921348646, 685616635, 559924838, 367054628, 213039820, 239553880, 155826009, 405177463, 892816871, 165333212, 861353313, 193064920, 513180677, 856568067, 745043189, 258049110, 381746855, 511605606, 900978508, 834569510, 421154462, 161473798, 929148617, 90201051, 551338129, 27633110, 732930346, 567842006, 298074047, 1061767, 630751244, 202262528, 694784735, 337164707, 886779822, 102165902, 247984353, 683751371, 17868734, 66707208, 911196892, 974790711, 467095017, 463151314, 735745658, 123272806, 66558913, 954851456, 350711835, 689025441, 728753691, 917114605, 907930175, 794367978, 696555265, 653040327, 906160420, 671969, 360875573, 920652157, 211872763, 567621380, 103294387, 295031015, 674135555, 853107515, 791207260, 841335217, 433337896, 493999494, 917674277, 102757610, 984274533, 285666066, 730585897, 868368289, 743806716, 412141593, 80202822, 2894317, 212704744, 649931404, 255365633, 313685806, 57933498, 751608290, 478281542, 654923284, 950451286, 692620740, 596616388, 160419153, 46210776, 188926596, 964312106, 143496799, 220148206, 620414542, 636565605, 198643734, 241261660, 21423809, 955518731, 982878300, 256641267, 277847645, 781043200, 188913749, 963564460, 72169654, 288319234, 453077058, 294041022, 486306069, 862077662, 582894124, 469603475, 372667901, 795305584, 883613340, 888285083, 744274749, 230977391, 394997360, 584484381, 111381748, 326008895, 934960997, 410164758, 387971230, 379021857, 89999435, 932886172, 850820290, 98082169, 482434330, 731406663, 80051257, 235153814, 551501099, 332408719, 460504015, 757752949, 315714874, 514811747, 770188234, 337533536, 918171607, 849308811, 962738467, 79384221, 525260160, 152481736, 449726429, 197314406, 729327155, 912930763, 964585211, 959032990, 388299826, 837934198, 73094022, 86580961, 712637327, 337805083, 74470135, 282166411, 500303093, 202276840, 422866592, 462574912, 895787247, 172947364, 266965779, 133405502, 452639847, 530245110, 495993423, 711736866, 430833794, 344794436, 778557454, 236165920, 296516385, 928083184, 721813371, 626895607, 334164694, 757739740, 76926176, 991331464, 450533354, 601875907, 587611810, 578297095, 282886288, 992919626, 17055335, 435660600, 841076708, 900875499, 615910406, 905587496, 20607533, 744540748, 396195846, 198834249, 339249619, 924658827, 397500918, 972423757, 703444685, 382701100, 859700130, 487786229, 872686668, 416271639, 151574597, 717666364, 607258443, 192804477, 111339181, 709842838, 59855303, 119634771, 221165364, 741157331, 553124437, 769473048, 36283976, 754532711, 316554063, 612759022, 364676254, 952562009, 659775602, 594203749, 216948367, 895494634, 49958794, 880355483, 655447460, 33189964, 531341583, 47018871, 808704953, 332814977, 64930670, 268305305, 104414182, 394472951, 369342489, 508366358, 91994217, 736286325, 413432634, 56421862, 924155515, 871671908, 610408886, 809497240, 151925139, 156884821, 69211297, 717002155, 264498705, 811653080, 295444967, 872828141, 772742151, 2910625, 888805674, 940999907, 139491555, 805927478, 919907330, 574867984, 723666476, 259617368, 211003894, 814240874, 390931485, 225288853, 382652870, 902921942, 180436558, 775491531, 836499188, 794889727, 148307509, 743133254, 943530540, 673922848, 296438452, 921465662, 690898376, 941480058, 178485806, 24988052, 41105869, 566754804, 263921946, 117178904, 268360622, 998806275, 56929072, 17814973, 800348333, 390747312, 158210081, 169622296, 839333568, 391427233, 568298410, 512771163, 6333082, 662796781, 688238601, 152014612, 577838084, 32606580, 65628863, 594178982, 489494432, 777780790, 794114241, 637476519, 463183641, 980617724, 590345065, 96063030, 972079773, 299720498, 5947571, 882637955, 480118213, 454519875, 781375564, 450705388, 394333747, 914562362, 158195536, 53375101, 154000616, 705878779, 961408382, 15632383, 886323930, 102313130, 460533131, 84552090, 727327845, 296900214, 547541480, 441032744, 668576080, 182563663, 885540950, 813397672, 706980309, 932364125, 481102131, 805772216, 785175579, 233764608, 83790441, 741292334, 135692340, 463074050, 444629406, 418755944, 974950203, 482567032, 280357469, 343538375, 761359174, 226518203, 231881262, 499679633, 108103116, 468336777, 486045075, 397679194, 269300791, 817146553, 720667336, 673511261, 583468462, 371033467, 896974405, 445142947, 665599231, 547893885, 379383735, 50065911, 736135676, 955318528, 445399543, 96709177, 315582246, 707721876, 413582734, 276204150, 168041196, 317484854, 688147993, 426522346, 685888134, 326492050, 355362028, 140993932, 229407599, 828694266, 815370575, 198776499, 33615986, 443816851, 390899006, 341787982, 8619930, 188170422, 788267709, 771804672, 994544201, 128082287, 286070813, 34746808, 997596079, 910233063, 338130218, 54153119, 484192666, 531752610, 529787106, 281815334, 19622006, 983208319, 390728415, 949600968, 565254116, 947056289, 192627962, 679798517, 892485443, 359712490, 973679665, 85091031, 856757172, 961031659, 546766553, 686316518, 439984944, 218706028, 911397368, 260540520, 330397271, 890384500, 66171949, 558784781, 956412660, 674835188, 319607901, 965521925, 998987708, 586013621, 883377831, 286909577, 213260217, 486323908, 188960244, 63815362, 542384865, 474142085, 856411791, 397136228, 24630246, 66583431, 321205559, 276337667, 926031342, 67256766, 162607461, 975309678, 337990656, 971663879, 963880255, 527931718, 107448285, 862164120, 485420821, 498184932, 329430212, 506005578, 226605309, 990684303, 197156963, 600110734, 139011527, 882391905, 932559910, 681284484, 964627503, 786920815, 332881913, 653270238, 760650532, 451306042, 272187923, 21941107, 631982892, 648867886, 812644549, 441579689, 547202413, 801881283, 910528597, 489667908, 271762765, 150412289, 352857974, 69728686, 754271998, 33012629, 638060805, 881490999, 564982984, 784912553, 467860359, 851650436, 756894983, 145355806, 445821172, 559871909, 207055706, 909071422, 483304288, 712896515, 737886345, 310878070, 519491242, 622683601, 36072199, 966379128, 909956258, 193312624, 947985441, 598636237, 378499003, 612612633, 364262151, 568070387, 348109005, 763433617, 617876187, 804931332, 93795279, 422138047, 864439232, 617060142, 168934003, 839528052, 689295804, 619629266, 71533724, 221128224, 55517596, 152521769, 651069803, 72130098, 484446624, 523105504, 922383299, 784839316, 616070091, 188683647, 508264634, 553522608, 331571129, 428219380, 517121904, 450123087, 778073195, 978229342, 60746178, 847353292, 335736934, 858032328, 490854259, 823395619, 39470445, 237959695, 911597306, 343791770, 624599490, 304869348, 886099067, 989967748, 907556134, 243094930, 396906672, 93376627, 987734109, 651490166, 662316069, 914084805, 562757970, 942284017, 950512074, 888011331, 470368951, 150312256, 232758642, 254627966, 967857221, 706896740, 459409863, 332347746, 512287938, 760035301, 364776562, 694333266, 507137931, 742656128, 612430431, 352795536, 622907655, 695419941, 565110511, 663636147, 723143820, 717213617, 218478822, 720022337, 937529862, 780770012, 473435823, 154749909, 431310644, 501085449, 203969105, 427353285, 844437744, 743299363, 201509207, 322504359, 813086507, 222867930, 930882769, 70735391, 533865755, 668408365, 361384871, 828176481, 8591962, 206749836, 555037000, 680646693, 721042082, 443522281, 216478942, 242086189, 160837557, 14178399, 803102443, 730102881, 445089362])," 72504 (continuousSubarrays [748485140, 818457444, 506065671, 457502910, 80372915, 643314518, 575934438, 977493309, 303861502, 451292516, 562893213, 16654857, 164224969, 879121749, 598354394, 701732173, 855419816, 850202985, 284556313, 786617533, 174731254, 284227629, 730932068, 546999279, 263147370, 592212889, 844828648, 140569546, 654375423, 290560037, 443563630, 556480490, 248418885, 427128412, 128528319, 262290964, 560252607, 205632148, 687252519, 201341706, 542114760, 751315222, 28054952, 146060555, 286324553, 723395795, 699205139, 180609404, 92395765, 573013363, 142337050, 933004554, 663088753, 924545618, 755655796, 256864418, 960884095, 289990794, 397781173, 489499719, 497985443, 730080985, 684649399, 330016731, 161441770, 354948023, 781487770, 720656125, 197428971, 917922707, 789355336, 389182177, 762560462, 247402397, 651424144, 770212175, 842449487, 727531591, 237869863, 128497350, 666827756, 839086166, 397376566, 651932279, 804371459, 270030139, 833803204, 25908662, 642012770, 851688874, 165974817, 784039105, 890083015, 256982738, 886128275, 795837824, 187760541, 129855962, 91277951, 853077955, 590688246, 848102515, 152750841, 184457533, 648973262, 841734895, 964190308, 70362282, 79703103, 493825689, 349646103, 211451060, 268377359, 837673454, 342044293, 265176922, 834512107, 518893195, 804270417, 333365103, 193576017, 759059662, 19268886, 74023257, 196874840, 174457978, 514350726, 817238427, 20126176, 265050606, 661973434, 548579457, 834944212, 606004756, 353779028, 88387346, 925072092, 765879579, 537170780, 327187423, 230021199, 441746236, 723031939, 187730389, 39545903, 871045935, 957851449, 839848047, 757035608, 574359194, 876186364, 268495605, 191211461, 32495289, 855754793, 528305120, 794377215, 637750799, 369230176, 56038536, 314861731, 165635742, 337338682, 884353685, 153900907, 359675668, 309822853, 847625751, 154542801, 614677625, 604354591, 873534143, 485555082, 632628782, 520496101, 337219759, 959490696, 221350910, 571855248, 209423887, 944995065, 140319420, 729049916, 76623696, 295987652, 554821245, 489737977, 366881335, 700360668, 730101700, 711530731, 131392855, 157351040, 873990335, 682339223, 645336330, 237732964, 510195169, 565306639, 933645929, 789180248, 967125671, 191162213, 484789721, 124612606, 813932065, 95871726, 808880817, 766277347, 37518466, 130461075, 129676869, 984370812, 850862559, 788718100, 734665378, 427922548, 199620735, 789264713, 852751376, 300958415, 498227492, 308360560, 281244809, 458753439, 143138232, 621076864, 619828741, 926524721, 481741485, 139704752, 601799065, 290015865, 300032004, 273244397, 966656352, 794886180, 429986394, 950572328, 213800006, 57897882, 680570699, 141523367, 535867642, 972056488, 31738710, 58465003, 903077976, 414092516, 816593501, 546738417, 886829547, 245219729, 655614316, 521360774, 18844803, 761536269, 373783572, 216014949, 124610564, 339267818, 878683618, 843926900, 765554304, 959196167, 425257971, 102124907, 118061052, 208312151, 442183411, 693410321, 789954619, 286181441, 513284181, 952560656, 606559166, 149155130, 808094720, 787096110, 17020039, 531598700, 451274187, 223888101, 841504491, 819611390, 988076016, 268266187, 935083015, 351017155, 266521776, 322550169, 995246669, 369790663, 852602567, 585142557, 589249516, 443183573, 564213629, 99476363, 804329589, 431350062, 311519511, 987506029, 746744174, 965140064, 448156137, 203477361, 842743007, 770043015, 325008565, 758454426, 217299200, 782899590, 61032634, 480484445, 838480881, 799208231, 630331102, 155766141, 295672090, 983294487, 8943328, 342071707, 111989203, 608376793, 147032987, 762741989, 668406659, 428744627, 866024213, 969858466, 724437042, 177505980, 286615873, 368577390, 283714618, 551748673, 293410211, 305864488, 101095935, 792433685, 696841184, 405599547, 984100687, 222822032, 616749292, 226515016, 797023376, 761307335, 443700130, 937163513, 402143219, 104905182, 566823965, 132335584, 911094355, 198224795, 17659941, 958383853, 91657534, 662797460, 747858577, 114704298, 206750671, 157395969, 133428743, 730270035, 448699666, 349642221, 226147470, 248282400, 560485188, 153113708, 806626346, 499590439, 439418289, 236546438, 392209482, 147371422, 217819547, 779781158, 432902043, 533877275, 907617117, 447335227, 991411950, 266260239, 231239254, 545489560, 225857942, 629498751, 37749914, 981869524, 615897331, 81260211, 276723944, 640356819, 300363283, 480490524, 298711824, 52573678, 688374440, 481549509, 106170017, 733532305, 101812206, 760019185, 375331128, 820923186, 743939829, 651113393, 15236452, 45849677, 437180219, 960988373, 435301213, 144759072, 113625062, 55604366, 267956332, 49508301, 736939200, 519820366, 296927810, 418541696, 934626969, 353402892, 906028813, 360976852, 575137012, 746850155, 360167674, 379261638, 139320675, 76565334, 3958497, 16677925, 911126688, 996645048, 617146209, 13611945, 323387463, 339114251, 236019074, 406031823, 186339762, 987109806, 703927908, 637081125, 817273321, 600844307, 334961346, 403171917, 131056190, 344139884, 477830262, 973028331, 707764706, 396800997, 135436098, 39886909, 894613079, 468853585, 800713085, 725047370, 95526485, 529322301, 520105482, 527054180, 298791947, 515483373, 35974647, 836684990, 924761399, 128197804, 948015992, 126059517, 1204693, 795519267, 984868861, 398755515, 92254080, 873398082, 533756541, 432264926, 747642049, 365600030, 47549680, 756911109, 115499757, 600591458, 361043758, 479239578, 924900542, 382403558, 134820506, 885214733, 214375743, 729698841, 696156237, 262989446, 780660574, 566669387, 317090746, 245284682, 434338790, 166008824, 131609705, 971996773, 290952561, 506708065, 563585090, 525030275, 156568851, 960798951, 770310051, 325083595, 53621322, 724524764, 815068099, 202061012, 114639222, 825213335, 325895361, 363861402, 529220602, 5871426, 491116460, 222305677, 550496304, 485641377, 477758422, 81593837, 344691973, 352430242, 729932390, 653710630, 328675557, 262513481, 876009158, 531011911, 39981886, 222782594, 233028668, 536368887, 963754227, 373743898, 743528700, 816690336, 299551861, 785650862, 854972615, 290937784, 6935446, 400544202, 697015437, 986928456, 121169140, 890059455, 279327971, 158345031, 916595063, 508156449, 886377770, 583743834, 324637544, 73344229, 744345267, 79409073, 183549600, 668195795, 46731435, 282318666, 907972584, 128741603, 559245966, 814019823, 253202135, 157109433, 893074590, 899185076, 295894858, 699630740, 180160054, 155987237, 74612369, 493167821, 802023606, 750708744, 639346175, 166183841, 775993581, 131164218, 869650150, 54062311, 59319656, 688898310, 17731652, 812709503, 909032031, 581268400, 813108790, 77435105, 695878098, 957148297, 584422565, 973645802, 975974139, 850720564, 820097046, 513759074, 147217339, 59668526, 618472170, 402324114, 458398076, 769230171, 884540460, 146420103, 113470389, 508772974, 175144632, 318451539, 723084496, 273592098, 354912599, 294811814, 513207569, 919538668, 785561695, 265446139, 922822398, 758370844, 605517393, 876419736, 724331638, 204363819, 785615117, 189664515, 653842070, 551928009, 574810047, 294709894, 534569739, 785732600, 296195080, 690648420, 951329410, 519301102, 574044808, 672140478, 164227393, 608787170, 379002322, 982894579, 262637329, 678744123, 506104266, 92596723, 923572788, 565205389, 18544142, 697578576, 419246213, 194189146, 455881540, 744578594, 618487355, 509745610, 679847120, 714963785, 508121049, 468160690, 20034558, 962748748, 273950013, 896186132, 277044656, 214706135, 61101217, 177497959, 612025683, 972015962, 323883593, 281554906, 185556441, 9437573, 449694178, 609116723, 165208634, 485241528, 243884028, 710662400, 484589402, 110413377, 504778061, 839316221, 25108129, 677008538, 780669038, 289112691, 478070485, 989378825, 242605313, 849929893, 590080723, 228429644, 269250038, 505039195, 176006772, 693936837, 11621482, 600484241, 742349506, 241501964, 825662057, 54027229, 170989431, 554251656, 357045885, 788847240, 915523261, 678283956, 870083479, 319686275, 529398311, 797273390, 530036547, 231840157, 244957971, 724525878, 974304895, 336531669, 647283782, 280526396, 279306465, 408240023, 301447422, 308385615, 376188075, 497022756, 2476683, 663043006, 798607523, 885431623, 366221448, 514043499, 782115954, 486305031, 452952388, 594734152, 89072615, 56724351, 793783249, 149364752, 474011963, 154864220, 152729874, 518445700, 595185814, 180723164, 133607298, 595049994, 322079639, 569788882, 317190776, 521722284, 473686804, 347151485, 545674690, 556021319, 775584598, 466197954, 564024569, 496352869, 392994387, 146818321, 790232392, 882714968, 524149546, 142057685, 479013444, 625382323, 44027004, 483957105, 890696120, 838363015, 249919050, 238967804, 635511617, 648625626, 500722480, 873390348, 744548888, 423532071, 894139061, 553605705, 59488144, 488667129, 880712296, 742384651, 67742024, 715093808, 873088969, 443731234, 181555488, 109151584, 102957371, 848824546, 711259588, 320432594, 321060858, 882851471, 615235205, 196782725, 707888042, 955456874, 558134221, 31047364, 213203402, 99491659, 22300404, 306628809, 756516451, 945905633, 30787674, 871298532, 392034147, 121009584, 208559778, 485626124, 152759455, 438609683, 570314263, 252248306, 667983479, 324068526, 507953416, 459522995, 248011008, 808109072, 467946276, 24759494, 122618311, 961238575, 6970299, 866304396, 130783401, 836752729, 591418916, 863713465, 456618583, 262653, 400283984, 518807113, 406688506, 527710785, 880641150, 788966442, 489884576, 557655723, 89044643, 893092400, 976137909, 138970760, 422784003, 288939331, 302788989, 222911820, 334030734, 376238572, 131012521, 388864015, 409140160, 687641522, 68157161, 850627294, 78345, 295282276, 431695930, 376911732, 263743826, 958635536, 316555613, 179222826, 693012216, 544315240, 329360515, 302181972, 192006037, 978434133, 437282340, 58706327, 12667183, 676543489, 594029511, 794415885, 941759408, 541026225, 945068012, 141590355, 195039273, 719862257, 948680422, 724029677, 40719482, 834814309, 526348938, 920832238, 801734449, 136088836, 152292571, 311799060, 286158897, 832133166, 467114919, 749104718, 12218709, 538141538, 577758040, 117897077, 277395076, 469137083, 287398468, 485521712, 846119383, 723723819, 378055727, 6574944, 50626160, 669686362, 625563880, 302437703, 807466162, 1797813, 211078507, 25658168, 248981061, 745633359, 33095442, 610474509, 426866823, 568052535, 243075577, 321221767, 763122989, 943285449, 339699252, 321092959, 3148582, 615551049, 159411817, 815798051, 485192419, 159925357, 590868091, 670798960, 91856800, 295562268, 934130273, 426376652, 107359677, 167226099, 765147931, 621130061, 633124528, 97666752, 823770258, 812852883, 573424940, 752701805, 970288168, 603072798, 828112431, 634855343, 651489699, 344326216, 290579838, 244991220, 320918147, 746911462, 120161938, 293812777, 43397250, 961075027, 550134742, 447134612, 211048103, 307372615, 108292934, 288699938, 562692578, 875758787, 973536709, 688154227, 287497318, 990586497, 589933507, 690572114, 668432653, 329260404, 822006493, 662101669, 531013448, 442109063, 675258646, 330147502, 181659752, 253335540, 431849848, 392141110, 633212150, 220498682, 911387881, 289624303, 842615521, 247554864, 707863038, 642863191, 160227693, 724174624, 397668291, 285827723, 17479921, 636886110, 256328214, 904495917, 527144643, 776195621, 150111687, 975220878, 30553798, 719032322, 795733152, 497054940, 112269952, 404011861, 624415674, 287644939, 661048140, 695875251, 315367952, 394112390, 257567971, 449342215, 499789730, 937414369, 21846598, 994122613, 440793919, 586079413, 180397629, 243521067, 850914261, 558451216, 452286953, 76625603, 622862908, 783053901, 393860178, 294294339, 818921228, 569663180, 237955193, 265783037, 43782175, 239924839, 678208704, 604182178, 824054526, 177538594, 897599347, 800247491, 743575745, 739208502, 981655045, 712286007, 17961836, 83814550, 379802853, 425817532, 667628659, 409773093, 673930867, 360431114, 318356109, 202065529, 928514529, 202383698, 274644200, 786667259, 91780979, 221736354, 461097882, 65592912, 530274680, 8589, 219460841, 393467602, 663152524, 53027156, 527931992, 168536945, 846558454, 29443212, 598711907, 592378252, 606917117, 579563590, 875863837, 739403787, 9189937, 473885926, 727512343, 734684195, 316201751, 132691566, 136515646, 715407233, 827268982, 907009986, 384433581, 573038794, 794893534, 600445267, 140735225, 619266996, 66939388, 689068511, 721963080, 99302522, 92339517, 980688736, 91213504, 918317674, 128334533, 320290206, 936668224, 967135982, 408171147, 186972979, 566436512, 590171036, 310006223, 871880060, 941538926, 514796130, 270265109, 310712432, 458555262, 780633984, 944707642, 187749389, 115257016, 962262610, 541516715, 632924307, 656274538, 304816816, 629081045, 234850083, 236340837, 647028802, 333968395, 627570472, 312597841, 202377250, 798653042, 754101296, 477797216, 910362065, 860119445, 913720805, 206861443, 132664552, 439872567, 54907521, 288152482, 92152121, 683095196, 609197435, 788252635, 982569832, 154394254, 301838301, 359717596, 874307197, 845486183, 552449526, 375291865, 930221696, 592817589, 156123788, 118929292, 467290722, 195892856, 272296004, 212939240, 904730458, 519306913, 246179513, 770198319, 430550467, 97570725, 317880683, 410973270, 860129732, 521013249, 863420915, 855699511, 817603876, 256457641, 951190112, 948280967, 972938274, 584773059, 373323094, 515756985, 31219854, 271033056, 817757775, 888742662, 357456340, 749520719, 146061248, 672284022, 12571614, 51088545, 466792238, 732763676, 367351143, 429685217, 829089764, 621696397, 692520505, 643410547, 507067336, 304847218, 143620469, 555420956, 851181710, 166984203, 751198951, 482549692, 925466245, 29286695, 863072426, 603601709, 587239364, 959176087, 891540262, 787438966, 498976128, 358346970, 261845220, 68489456, 601716845, 999410640, 817401677, 802563518, 76733511, 975440361, 2276998, 792373158, 358566582, 655734495, 515874241, 432156573, 902862653, 215090726, 516372150, 373284049, 195760946, 893141896, 667191635, 96858981, 711232159, 463416635, 465158012, 218030684, 720969562, 265109590, 645354775, 837460424, 641457638, 336971879, 397092851, 433712232, 798932454, 691850253, 825550483, 196858365, 205569510, 35396813, 171053310, 308242663, 955990656, 600948148, 537660889, 441530135, 221081516, 996134157, 473361744, 586992443, 144049495, 974254372, 133472446, 727568552, 291224373, 752508672, 928988475, 131544784, 58887900, 540720627, 836842650, 723725797, 74492062, 195770285, 746865991, 236845498, 461308137, 612018663, 186672335, 669574120, 177838546, 320617405, 243062637, 61523876, 860847866, 291394259, 440875414, 124596941, 439510313, 950156356, 796400724, 946724825, 614833352, 46470976, 471829714, 95314021, 917698400, 110012279, 651110540, 680137580, 890185882, 150938897, 915603342, 229150227, 740124651, 50158650, 585657756, 979950978, 755241152, 235744246, 504822783, 925314767, 51112405, 941171378, 830341452, 230145568, 888480142, 456078129, 654415446, 571180422, 952203526, 125846481, 356241593, 373795685, 913628423, 713218055, 171583376, 441087964, 994435808, 209242523, 622762990, 270100603, 108178505, 430304908, 96857099, 164808955, 89117285, 992190799, 424141064, 18894847, 676609576, 981080645, 951451750, 315879162, 543169380, 710735252, 460975386, 536428905, 209313474, 804813040, 389232815, 608617014, 618152153, 249512599, 822445162, 366742904, 47168485, 295580307, 137976362, 801112837, 676657595, 256951595, 765860629, 239396244, 636747580, 450872701, 791657845, 610054487, 550583303, 339415725, 883363572, 881833184, 397036789, 251347555, 397792695, 346925269, 961098425, 185806472, 843783052, 121611461, 807568618, 184337678, 714716254, 207678348, 30833445, 708314810, 736077699, 363662209, 267986416, 459584245, 698842305, 334982813, 264654222, 645359267, 911514932, 371513377, 389352093, 54137949, 980028816, 723077961, 870261826, 67785917, 307989780, 13133900, 450547943, 232187540, 407715969, 204436595, 769169965, 906760181, 240121045, 307010420, 297065848, 779580011, 830133228, 825131819, 300273684, 951607101, 231128018, 814048585, 862390852, 858632208, 915808740, 111089961, 245314282, 335093588, 873500593, 345285648, 577400433, 323310179, 550224431, 990074151, 603649836, 883226821, 333828514, 982843284, 164094856, 665481454, 77220631, 182217347, 801093664, 557364360, 377291798, 589924418, 325268712, 974126658, 310235865, 225297504, 744291843, 29155592, 472699270, 9682851, 213026345, 127745316, 917800106, 726224307, 80428037, 40022138, 766001052, 237006454, 479680711, 880448853, 450352179, 128875732, 618823197, 839542521, 625905079, 961559891, 357037921, 588136650, 937522512, 300291536, 396606177, 474939644, 109640613, 797166558, 994886174, 777678880, 332761198, 956731980, 475449816, 393650828, 692935415, 839760001, 113668831, 820989662, 237646024, 14718815, 404895739, 139608203, 648703639, 918634021, 781265120, 358291861, 313890587, 344753318, 13693303, 145039552, 744628808, 694497075, 378434451, 19792793, 612086964, 612940437, 212537851, 681148301, 968104162, 231048289, 126608855, 944956033, 118621456, 423025622, 718205921, 284513733, 124196680, 10109288, 999649708, 68164117, 460625207, 829018903, 717784045, 424464059, 962459417, 309147279, 429491153, 953693041, 231429868, 344729507, 584491885, 996959535, 205351935, 18794978, 206433266, 677628803, 609319953, 655742298, 295455023, 596457070, 692084840, 104965940, 879693478, 245139886, 941675494, 417655662, 698616179, 640504889, 743884648, 422923162, 395729315, 818547061, 277568028, 861397507, 701133279, 836154849, 963719188, 958131783, 762993102, 325472013, 261116661, 988511278, 7179887, 650120359, 957015863, 70619713, 574309329, 873794746, 262016615, 473376861, 203408812, 302340125, 300816930, 753088528, 963500456, 459335464, 284243852, 480149675, 865476479, 543054492, 295422644, 476815097, 905571550, 608105429, 280559553, 882890216, 834309966, 681040244, 560141996, 43183443, 886510901, 242487238, 514104179, 370925641, 337683599, 505778526, 936224432, 127014958, 935435038, 168361596, 193263960, 877357471, 390664425, 197622326, 477662658, 316679566, 196295589, 879225597, 450567200, 506539125, 707131531, 466037425, 36918159, 644449219, 184862782, 403408782, 203276909, 740966903, 571864285, 70986410, 661904320, 945174100, 605567132, 394987596, 218391221, 357330028, 225873759, 528442058, 230126162, 770871265, 162609537, 883240731, 785015721, 962328239, 913524503, 891073500, 782603052, 977100889, 162743708, 490861146, 124722122, 3896961, 11302583, 767559066, 438694342, 323486819, 896823402, 127794951, 362701637, 135196241, 819204129, 12283025, 86559435, 29662009, 91282915, 999316178, 259657912, 34858522, 703587346, 653533102, 197692406, 257666001, 982767729, 69814910, 473364082, 367328628, 808215862, 742999351, 970891462, 254200350, 307178583, 843357803, 427860946, 921836239, 787411499, 123646888, 152503773, 495894665, 360119407, 914223676, 224764875, 908867026, 369330287, 396452818, 126886971, 740822328, 869446842, 583741341, 761876898, 741494514, 55016979, 585546510, 591045638, 195337337, 556311181, 814316750, 27783452, 218187979, 59964278, 863047704, 143900307, 367382823, 67110084, 648193980, 809901190, 299702296, 346298077, 701633876, 850436678, 546057463, 26794087, 548852587, 262867638, 840549667, 284574716, 458250692, 44664849, 844852876, 688948421, 78346919, 564400687, 751880848, 423103146, 967830621, 632876843, 565986688, 296367665, 382692892, 542303431, 694744353, 476468009, 500798075, 802526325, 825795433, 504841257, 760126100, 979392126, 879683379, 490805336, 100448667, 217807375, 339023451, 276053099, 234510396, 263301863, 536898482, 304586545, 772742301, 384826143, 209746290, 259216428, 594674934, 571367800, 210515729, 264160396, 153721824, 95412832, 778776181, 263679946, 959573349, 869191643, 441994231, 704286019, 663556532, 319363164, 612795973, 430257262, 909706607, 111926776, 375760917, 387304565, 335773545, 831500736, 35014834, 485494995, 963327447, 750778462, 856301811, 595960184, 561078086, 757147130, 487286310, 4640847, 916794602, 996463629, 144298586, 187437932, 631043184, 445823195, 767166259, 236034948, 837053060, 157657477, 654123499, 748318470, 891263020, 316541253, 964263500, 851821599, 434177168, 962275260, 68195477, 795769386, 484737203, 527057106, 802326351, 140226534, 86619100, 909117955, 184708746, 901108691, 988527573, 30801946, 678499884, 131610512, 666590653, 965699409, 60343534, 289331153, 521673741, 29660230, 637561402, 170703387, 978619909, 200367382, 337434285, 97358163, 62550481, 830574717, 708878867, 450087846, 753242449, 35871901, 644447052, 434884281, 780779475, 739208537, 602369758, 219643987, 926302798, 154087764, 193252757, 114470464, 545461823, 32788279, 290608129, 930546363, 953429340, 463125615, 103913033, 150358728, 976263423, 895878172, 474984807, 909167523, 852366518, 248870616, 214014785, 728079494, 537112349, 699541647, 296187355, 485415759, 500286242, 111944956, 171072966, 554227006, 261947382, 516121960, 455539221, 130770917, 637455848, 441957245, 627066084, 105493028, 198358664, 353437280, 60377016, 454261355, 577030023, 539632514, 477526946, 973886645, 435211684, 327724799, 597914696, 2839768, 621274802, 12319405, 762035363, 764748119, 379259907, 202745841, 6478619, 688843486, 862313085, 6324729, 285755942, 682407538, 670817617, 875261293, 739743535, 59518439, 541848422, 177775535, 153468441, 716506693, 733687833, 345930288, 938050532, 83136435, 70872586, 906537941, 21555049, 515048173, 839242802, 396906130, 310844657, 578603052, 821791122, 872165888, 837396195, 267304170, 64252641, 92024826, 182063818, 638303727, 88513975, 30603118, 829512185, 236040182, 670559513, 556011540, 814032526, 697410735, 69716649, 977743132, 811443499, 830138007, 572299923, 261253051, 225993063, 427923983, 746630623, 121078088, 635180664, 142548090, 799979233, 861949709, 734661067, 217336233, 30476061, 408959552, 346240279, 552774360, 806711370, 599717665, 662719669, 419845059, 153401332, 617877386, 660614953, 417711170, 52089229, 68964516, 917775244, 305402871, 22077740, 912043225, 285478562, 264097633, 533731202, 388966654, 356120859, 391669852, 922609595, 839616185, 608268608, 694720341, 803080401, 765661076, 936703485, 882564282, 142026427, 502112227, 356191972, 372356019, 810261805, 873717309, 211403108, 529743845, 816203589, 245680434, 885981464, 225116394, 101446118, 732342305, 755156935, 645706422, 32901056, 707620143, 390899886, 371230218, 730030440, 202489953, 143790117, 502078862, 625946620, 361640377, 46606866, 489332711, 389593984, 718820968, 144983849, 392882268, 43407580, 293382243, 360436177, 289975915, 696633121, 267213181, 58783815, 616820779, 570924631, 381895775, 406727995, 738869277, 226677353, 926450165, 443701265, 241699512, 815355105, 165731339, 398388471, 305704214, 958583772, 999310443, 482541030, 225861310, 394364634, 155947867, 525867350, 337614651, 862717659, 886483590, 604701743, 328793927, 380581264, 754679321, 961635353, 715473285, 288378121, 317869910, 757254394, 654152543, 198855116, 897378163, 243078873, 638921911, 762826746, 302261514, 951550396, 472055446, 170484666, 265630047, 691426587, 339452964, 663555665, 451518992, 984237181, 898254722, 856910644, 598411706, 748721493, 587042997, 517300560, 585082834, 252604371, 858796853, 394773734, 802638187, 741853816, 813654068, 192632646, 352555281, 570731809, 118817410, 937374179, 272959731, 128954769, 580325202, 489394273, 60864222, 710845313, 588077355, 581122667, 720487650, 904387127, 55824796, 213073178, 491030842, 226307843, 981618726, 999183561, 252285236, 669480205, 397652265, 572910774, 106399719, 529029196, 487038794, 358199063, 184252193, 39810213, 921497584, 479936708, 350615481, 913251663, 410360918, 236527262, 3273410, 491282665, 197093618, 836546833, 302059528, 838742905, 364568697, 870392842, 617864889, 837035589, 823070392, 552719864, 256552804, 436932076, 271321255, 223383624, 541002390, 211062393, 152323162, 648108415, 708332503, 655431100, 905851294, 899201527, 287905870, 706895298, 8010099, 210999447, 340591980, 788681467, 555735451, 682888758, 566068058, 753141323, 654378632, 118307181, 157531640, 187810340, 906919065, 344150301, 265294027, 615332938, 576197907, 528060274, 986777427, 684680667, 497086902, 786943757, 926426311, 818801297, 600414424, 46783191, 826197257, 36485369, 317621789, 544071040, 240034613, 121129800, 716588695, 472131014, 884536476, 165372877, 119828403, 118015176, 946758315, 992760610, 277991022, 534944059, 74280538, 678940507, 584964240, 855069419, 476523737, 174217435, 234806386, 433561952, 576387509, 960053037, 200046595, 315555736, 150028048, 816910592, 867762899, 768500478, 486329187, 946146638, 60169656, 151193975, 146435633, 592686894, 487609037, 154316845, 619204765, 583334615, 587674471, 137468870, 649742795, 260152717, 335098173, 43323971, 703307711, 4262961, 808817355, 980628188, 950645282, 67584687, 989908066, 669540264, 202607953, 849569311, 822091528, 754541026, 154445211, 371049246, 424909193, 8511421, 875016145, 846454022, 102848760, 705643615, 394891893, 374475832, 198720485, 768049468, 484338783, 416937591, 647462094, 558141410, 662742458, 927825694, 239627899, 386289290, 623074731, 840163120, 682959071, 538426258, 892233569, 939556303, 100691498, 785698047, 108157984, 630529622, 402898321, 508198859, 815808664, 380838889, 411168765, 130824049, 891583800, 762301127, 398971318, 222643438, 395187579, 123050023, 944474421, 695524406, 453959289, 763358690, 285551739, 728794601, 762006757, 797442229, 415750047, 336445417, 981860869, 763569132, 811966949, 299178363, 707384889, 511848885, 358798731, 770457958, 207892432, 698597689, 562570228, 629384962, 902770311, 494627955, 780031068, 333744202, 311503230, 784176620, 720845318, 403199100, 667755680, 88599589, 516132434, 101302989, 272124185, 529423178, 351144657, 236463660, 659551070, 322132096, 105240346, 936635430, 577705060, 591699763, 976150035, 734000082, 602451982, 868010952, 573615048, 761351654, 304042848, 539898935, 349540345, 271056900, 238737353, 394503006, 226594667, 358242776, 181421141, 445334993, 773131211, 301920154, 626772149, 923641463, 591082243, 779651228, 392358732, 244291968, 22066113, 317635297, 906211588, 457806316, 790412805, 456791221, 150377730, 35980422, 603121273, 917535343, 529567571, 431279691, 654945736, 774160043, 488889970, 857735083, 457932881, 270940642, 399238250, 258316495, 588732825, 390483122, 247077668, 125942765, 757789104, 511539742, 603032884, 420311492, 820762092, 581434594, 482607891, 534179499, 914476831, 754704353, 650184237, 327426516, 150746960, 225901977, 789550388, 873953303, 649404569, 483404972, 227496115, 772614930, 713557967, 22345002, 699974385, 877741546, 118634217, 347942257, 571671112, 809436319, 231662033, 971549852, 557401431, 32426230, 595046748, 286586657, 171485793, 204460740, 789079647, 676190045, 107094235, 649254718, 600148150, 374024915, 199420522, 98725757, 983652010, 540447672, 781838014, 194696644, 466897999, 556047888, 713791342, 291243555, 78409475, 653274845, 960613549, 374929162, 111209672, 540669270, 272415610, 295505150, 825868366, 441534497, 220988650, 548210359, 139709727, 225590494, 662018976, 18077117, 458050591, 540020878, 168847228, 795028187, 959070721, 29924543, 552233003, 702972941, 413344001, 546127372, 491361621, 673014068, 290416045, 645951585, 559888950, 408805156, 357148430, 186182321, 286600964, 303029461, 648126502, 15770432, 824353861, 504105342, 171313482, 393092450, 202141747, 62733809, 913255273, 768068841, 7223375, 69047771, 147730430, 145667731, 868773367, 263130725, 476230858, 192714203, 134670198, 705750319, 225606794, 763728292, 74200498, 661154162, 695061738, 815396115, 707415765, 541442274, 61720027, 85515471, 794854366, 234274997, 608390732, 279068739, 924462359, 807030823, 732558088, 709236999, 909600081, 789672143, 924005184, 106947426, 680107032, 352306653, 104814480, 356696088, 906707209, 947080414, 816133898, 615913584, 562918295, 407362190, 940331825, 824177808, 878252740, 309217436, 427517190, 506147383, 562093565, 390848307, 561431244, 793474723, 535203655, 523386307, 751957643, 674954383, 646454174, 815068363, 140399880, 209048542, 64741185, 902259347, 513006960, 895967480, 838340772, 72950412, 233307687, 19082098, 119972751, 111666656, 722117522, 214539098, 876989464, 982201945, 796722292, 75328712, 598165741, 167603416, 662666295, 142859666, 793048514, 691393683, 739010980, 105813984, 636238392, 132659186, 261418489, 787437244, 991485718, 37787212, 953941275, 765545037, 131563952, 583154641, 295203646, 886769611, 365924432, 760083224, 925724428, 618472533, 872622259, 344959941, 470268009, 772794657, 63695359, 958064019, 235358244, 24395152, 648596117, 786365491, 853217412, 577508448, 476505883, 213282295, 206709562, 387046887, 540456019, 280751971, 136187670, 917411286, 146898889, 100238509, 23566725, 182582276, 141975492, 363149584, 484802117, 355605404, 536657891, 422394911, 685619243, 782217027, 415979514, 399911791, 125966291, 968478048, 670832832, 53881125, 649226000, 695549367, 463444057, 859202110, 571112817, 337829989, 907721085, 158466530, 582287366, 417306949, 277010179, 241770028, 753044437, 26531710, 606182519, 898179708, 401743060, 546729919, 18741453, 556353181, 670615521, 303065718, 48851391, 793259118, 291276996, 389733542, 244807981, 664581388, 829876599, 22479523, 18680367, 179268379, 987949667, 195322851, 521022077, 50858558, 559094427, 325905444, 353315759, 741150396, 319934614, 511847079, 10934580, 904405024, 104595248, 285771287, 85725780, 937971357, 589056836, 102538932, 707284285, 489817280, 75429788, 346742114, 749697136, 199967610, 880349854, 759411723, 896540000, 467058438, 582863535, 945926993, 609297962, 830941171, 817497563, 231127614, 238691685, 308866404, 947827940, 721001207, 947193382, 104505798, 179573970, 809458132, 430189145, 236026437, 152042887, 372231389, 794146987, 508651490, 913715325, 609318769, 499637986, 198884809, 629130884, 637779756, 460909575, 234587020, 644994413, 335376957, 995035956, 953810799, 863592394, 863689945, 977798568, 814519468, 940979168, 360238477, 508334867, 13390434, 508586629, 543740352, 231362530, 825992271, 411544144, 806384225, 612023271, 779162588, 797607832, 65751085, 969781516, 59610828, 655139907, 337604242, 274376688, 774998849, 291462339, 497783766, 620721974, 959638332, 345075750, 498459288, 429085627, 882063156, 207582851, 169535911, 961021390, 81382898, 668606094, 690039278, 564264230, 463599585, 673515134, 355294910, 197759316, 798193274, 907635449, 255077638, 994172123, 892962125, 765605942, 68444434, 903541229, 467922366, 787722391, 476730095, 294385258, 374501198, 241818891, 4678379, 700728385, 63920313, 993890710, 608616696, 765202731, 620591396, 895401710, 371961404, 170358924, 585802360, 460648986, 628908951, 722736283, 78521892, 91878694, 365677902, 334930491, 908499049, 411515350, 368642022, 760261495, 801433106, 967641913, 302199450, 842378998, 516377313, 110947724, 486027524, 632247955, 84074992, 506338430, 392997720, 302430120, 699887251, 656777199, 857502523, 196100287, 254611843, 661657820, 379187726, 156554470, 773116798, 985788970, 982421412, 864395121, 142487525, 270958922, 716366925, 647242852, 533812907, 157831746, 120069248, 682898340, 421637217, 138228744, 716057727, 417099336, 857868839, 414531802, 939290145, 517323713, 137322910, 469776365, 800699041, 242138298, 881736301, 871740118, 293726353, 202391575, 859855125, 557584508, 524815440, 931406078, 835815911, 640135760, 858499564, 118165448, 461249745, 775769661, 960340494, 116747435, 598769028, 17593050, 238825925, 409714594, 651731446, 720761435, 427136927, 517795150, 851828181, 41586004, 443835906, 43539190, 882075653, 588305350, 900510609, 275727336, 84016644, 888556532, 897056576, 766297851, 847574641, 555917019, 110301545, 659882724, 39976293, 323605296, 434538725, 144102434, 506990377, 674851144, 369792761, 416468692, 309924813, 346067202, 678543542, 991708095, 4880461, 170880149, 650479424, 48925066, 270729866, 503526245, 657705595, 253482515, 298691209, 881108057, 204784173, 756249349, 89617940, 801177968, 777739540, 799208635, 289284005, 842991500, 678842802, 968006939, 853301148, 852504947, 887229972, 698190440, 693130679, 706764382, 267396245, 142895429, 206483700, 303864900, 216773225, 757864030, 868887329, 681158082, 435725884, 41922072, 280939852, 836548438, 67115418, 528173216, 645901363, 612500030, 30078978, 611206859, 812360380, 617911133, 319136166, 649564252, 260055159, 910875000, 802672823, 757744903, 196258810, 163954117, 830010254, 849516850, 472616274, 263982756, 128210931, 181608257, 297373858, 561894395, 48083242, 541073115, 957172672, 824385926, 196932457, 762730332, 438510115, 190937391, 954668190, 699473187, 16962679, 653336583, 489830012, 260824471, 731796959, 970905082, 388258413, 797834012, 964655733, 992488484, 147014956, 967036622, 134981747, 50603502, 594774265, 66219327, 723456176, 818991649, 519400849, 698408110, 697790313, 224274081, 96599985, 29867394, 897728617, 71712792, 306492511, 470388903, 75676302, 500124082, 819041783, 671247845, 763412280, 325025617, 131165109, 725737030, 464509343, 818516446, 286295658, 604992195, 46095997, 920375713, 849830005, 328730535, 742258922, 184508231, 985958485, 449343580, 160959225, 396781940, 976084524, 662607621, 855448787, 424554177, 952660654, 314353703, 414240211, 110163286, 469841550, 279244078, 226910344, 211546961, 202536666, 838881611, 266156438, 316252751, 236829485, 705886351, 93051321, 53890011, 869465381, 275839124, 824577738, 589583629, 42356413, 598732679, 579457922, 972098933, 616090548, 621758047, 928060065, 878158811, 220833600, 435050901, 678774104, 273619419, 182337109, 189204025, 509157117, 747864079, 842095868, 975218997, 241435456, 928452309, 947689012, 907735582, 720187015, 396860548, 939440231, 552810821, 518778975, 414848115, 737353945, 64929815, 58509229, 539747643, 977594570, 711380958, 864861635, 943622898, 557138674, 864243166, 223698344, 975719122, 602242482, 53772608, 199584009, 22388947, 784646891, 612291628, 322637417, 354505839, 352710790, 413615433, 7153838, 99781033, 708635610, 672347198, 734430887, 669589234, 479712324, 77707819, 528475178, 579972092, 861943078, 870301944, 882953158, 977338499, 231253302, 873220825, 445997189, 414084861, 824712174, 331065494, 927730953, 607707545, 743042310, 138938541, 731656189, 375705897, 137992094, 739253497, 378922581, 545412633, 856506705, 305683477, 168509290, 528062038, 339133264, 533068138, 122346592, 453095236, 758543649, 451361311, 660099519, 354559011, 930635143, 96757989, 180668576, 850480527, 405696983, 970767223, 839213346, 609754293, 50397047, 724068419, 908907857, 544031760, 609214669, 57856097, 114364609, 302383450, 638920020, 8851462, 909290543, 164049788, 832779231, 297199053, 564671390, 400725359, 123446938, 706441311, 977719466, 569517206, 483303453, 21530429, 104943945, 791268552, 109178525, 577687899, 640260229, 346364982, 994562742, 617075880, 374485426, 482599587, 870955651, 12515210, 992555253, 253486222, 540127219, 974303167, 523130594, 225303810, 979670384, 841152181, 949721832, 96125158, 113219080, 298042893, 47298842, 975531110, 275167750, 483620277, 460837271, 452825069, 970946168, 592938730, 567467983, 819131134, 313972354, 125412402, 501420645, 913007370, 939578505, 659851272, 828484132, 891974584, 115766166, 615467399, 38250425, 484688264, 238127809, 743507067, 439363741, 729676230, 137975, 809850551, 273715752, 932438242, 663757524, 995699631, 975832550, 770989012, 505383382, 559495973, 606137319, 41053329, 332805605, 548609665, 448143659, 60062481, 886530373, 614499661, 862625497, 716356011, 343096447, 59793366, 340221101, 880271367, 253499086, 811407273, 15929565, 357267023, 300315670, 434543574, 711555417, 154183608, 349524893, 788661419, 127109223, 450239207, 374469821, 297561392, 735180767, 943606275, 599833261, 73811277, 930477209, 342421648, 23249947, 464304221, 151034134, 982355319, 646788866, 966088286, 657697802, 572392365, 488463020, 508876502, 748415023, 654524878, 964525755, 256197837, 109989541, 955403294, 662179812, 385880124, 67946664, 809639283, 236115557, 243145549, 551835108, 466440433, 607323352, 855901775, 250746588, 602609794, 789114937, 154251351, 38553254, 313072763, 751307059, 734206374, 554037860, 299090136, 89682698, 359588717, 559252909, 979554890, 991295037, 229996806, 963883790, 626204669, 876073815, 97706658, 596992975, 857470575, 214674563, 115830047, 591350883, 128493032, 400894721, 845926338, 352185546, 218533766, 935855625, 966400076, 754345735, 598438558, 914263876, 577322492, 905423559, 495043989, 684045569, 554386577, 152358701, 886482104, 477624235, 163431801, 930107946, 511086167, 16423662, 925160254, 133984317, 908873611, 427118425, 215059201, 359648444, 932969373, 834737618, 973302847, 661683603, 43178810, 694772346, 526689590, 601376757, 731289381, 40658231, 777847917, 277795352, 555635893, 222351373, 690238888, 539957983, 820049970, 15193645, 785377403, 504432799, 563113701, 650360634, 343366662, 527755709, 601419994, 345850351, 757656219, 505588854, 960726911, 75666303, 790626917, 517454592, 495242413, 567375637, 718702459, 47390287, 612106489, 276258944, 476223334, 475687297, 159997012, 186689834, 52349310, 226998296, 514267176, 860404765, 293854319, 218812309, 33445329, 111295150, 461164734, 762485090, 109133076, 176553424, 484946207, 56617623, 96692897, 14756158, 64282391, 343173464, 297335857, 179217537, 496085843, 433257419, 594110398, 146486976, 161252030, 269303745, 239107017, 538060954, 328210101, 798060726, 458481296, 225500603, 449856650, 68373634, 410054598, 318534265, 933383247, 273398934, 395435400, 436942136, 597086418, 690602918, 84397063, 683306269, 529452245, 201388304, 127438681, 542108652, 212231292, 72785610, 216827967, 588076084, 354593269, 48848820, 721083403, 892466522, 120001854, 904105303, 417205138, 488489245, 592162008, 380840968, 962673516, 132646587, 818791712, 581633789, 334943913, 262534680, 348773522, 923408682, 821508308, 572052747, 94625948, 602978947, 451639763, 219945196, 425549853, 239703804, 587451226, 862543083, 655206363, 290023983, 173884946, 991384952, 147361692, 876773642, 14032771, 229886590, 305715678, 646756362, 478919109, 717543129, 815894250, 931954197, 300249755, 685161122, 416521540, 406322998, 37850623, 166982452, 39705475, 519710746, 208685057, 563743928, 243778537, 156069832, 899009479, 145071607, 367765236, 703578338, 807844244, 218180733, 487197040, 739553413, 17812660, 808147319, 631456228, 41971746, 385792127, 281438319, 287212164, 338851446, 504758999, 938945233, 399724503, 151786142, 219020322, 451813772, 636945813, 993010113, 436323940, 176802220, 45323516, 772843147, 931690402, 782260032, 883499658, 672768845, 417625519, 532274216, 55142270, 680916264, 656823882, 375904110, 588691699, 29765796, 160427298, 592785958, 760118665, 246179657, 706749056, 556092080, 338908195, 924573315, 102261207, 367059629, 702952111, 442958889, 216305694, 677454541, 116856852, 97189728, 887361109, 966032341, 724652139, 95083015, 815588269, 229089139, 824029928, 109583925, 513405153, 868911359, 368140829, 138125594, 952221954, 190901465, 746857147, 179865168, 589367049, 846903937, 886840809, 310895194, 957462718, 797594523, 322650655, 864650594, 382854188, 646893295, 744695202, 444503675, 687797829, 348637856, 73674092, 276834527, 760997230, 361098203, 728834241, 13877519, 939672036, 106249442, 994981286, 219947947, 90654931, 853408370, 934153577, 879027665, 710541847, 110754105, 106286891, 66455836, 856575621, 732539477, 672527315, 535023072, 226363860, 943925204, 734516626, 308244979, 77706482, 4175063, 600949023, 932642240, 429830815, 272847758, 76239423, 525174797, 595943381, 115923165, 775515204, 996739560, 171768983, 988590016, 420170432, 337666349, 683298911, 776948497, 101075550, 778367234, 788527721, 12466095, 425231330, 795637135, 53499920, 512901567, 599846080, 25652947, 170385704, 679889220, 534931385, 201319017, 857567192, 152006784, 184486576, 640592788, 244806662, 562587498, 987423774, 518649047, 162647315, 619401399, 361674428, 489471781, 943897025, 860224495, 346790548, 586598132, 628213884, 219202003, 402631907, 536293435, 230423649, 977348056, 569558102, 833788259, 107553973, 516237652, 684670733, 899853137, 52125085, 237864690, 250511049, 189878892, 42883715, 880943997, 466037336, 271548161, 413157702, 538147056, 798287741, 666262336, 195559694, 91349461, 340120954, 444163391, 334809394, 603090921, 389702701, 385137702, 370036613, 849282222, 184339877, 182785938, 334786632, 669388096, 777289130, 179125278, 231602480, 211417976, 696626468, 481307906, 633121538, 196154129, 475645526, 369880036, 223500570, 645811851, 465697064, 256562820, 687382010, 213349080, 440356368, 611731924, 303188518, 271802658, 43719109, 718091830, 918262287, 485514616, 667782547, 985511561, 46958857, 454636223, 529917303, 457241233, 803740427, 463301238, 748877939, 982766452, 568889008, 868745397, 47593417, 994049325, 25697632, 498217764, 965462128, 162520377, 34462886, 286567373, 907530170, 964324314, 25669721, 833166189, 173240889, 475167374, 150606074, 250204420, 245291084, 427868654, 994906022, 956589209, 165014840, 271122329, 820974806, 712102377, 801634434, 260845687, 804514998, 353080327, 531088631, 134002242, 964888197, 142850324, 494831630, 929449825, 85520024, 626539131, 703541230, 299047180, 116443630, 894274345, 418426762, 329280725, 824396019, 529698375, 506626426, 489592694, 464365693, 527161381, 842825364, 774954965, 315456147, 388237057, 549186875, 650144130, 479050823, 809262524, 639759583, 511142829, 844385668, 109299790, 396413397, 278595651, 414242047, 861345848, 210854031, 91549955, 263260642, 40699545, 414980228, 995272947, 807821112, 756830141, 798893664, 477720518, 22590465, 350606706, 312238323, 684776548, 891999876, 463169075, 338929220, 89238628, 680649959, 912525259, 639457236, 581358671, 34934119, 775984768, 126770755, 206889167, 813169029, 60214736, 409773251, 196067065, 96278509, 275308734, 340349619, 194613552, 971293337, 995810250, 338880975, 247763936, 987653679, 426756174, 122870979, 231373118, 996072727, 235927246, 674223981, 545851807, 950423807, 131154558, 131991753, 577893774, 678235296, 910375340, 506819034, 123142911, 845483728, 151148148, 652397541, 614162980, 247028282, 944425433, 484933562, 88854735, 292841978, 33001029, 21789509, 25878688, 710188776, 56324568, 154095860, 66748830, 372052917, 425421258, 625249866, 655729018, 582642620, 384172338, 713381381, 141587357, 977408258, 625306982, 972149374, 181679982, 655260716, 667642849, 704903845, 251286243, 194413984, 170869414, 671916447, 986511833, 405639261, 298448901, 391375633, 709412880, 882317650, 179145778, 113420542, 314586184, 640970787, 763092619, 204395261, 556246410, 522919443, 464553774, 427901011, 790024685, 715882525, 831115497, 463852932, 897274722, 177123203, 346526934, 264068232, 226777000, 309844436, 13867468, 607736895, 729225295, 424406524, 806361360, 855906873, 405534870, 314155114, 518447154, 996036884, 972311518, 824116382, 630835747, 362262571, 543659872, 179028938, 579170997, 336015235, 419070725, 503730703, 535746427, 699304043, 200628624, 927713478, 727817425, 547564489, 468145421, 4133464, 636265708, 439391674, 714428971, 182913298, 417981940, 878774525, 992062123, 827139039, 513029032, 535293648, 843850857, 532885882, 939014205, 858293446, 46479285, 400000526, 73140703, 26932494, 865609078, 307075340, 603423853, 122207213, 353026459, 12658734, 369026917, 203782707, 462476625, 481922339, 479619, 198244407, 205189706, 628181064, 180376190, 84372409, 368770760, 554142694, 542983709, 207110326, 589869267, 135412727, 504198280, 22079371, 150854793, 26579829, 983032256, 877466270, 929084991, 498551314, 710830070, 741037931, 7616842, 424196730, 707450777, 82824092, 792195659, 448005487, 834909916, 728326018, 598714654, 653764889, 64993161, 252152643, 380242721, 723425244, 548605430, 936246969, 883719482, 277269277, 805903179, 600819922, 762366049, 838345241, 85269274, 780852527, 584347352, 743219695, 625277902, 616839958, 111407861, 328597203, 392192684, 109298049, 125833704, 210569387, 561410819, 398888164, 634083082, 295709686, 867755764, 371309061, 17854404, 440159220, 701982665, 172593180, 823677615, 664642808, 587801367, 540634838, 336465454, 855761506, 437362804, 757925876, 853824597, 378356367, 259019047, 211701426, 123096159, 139676256, 17522212, 102612022, 648328699, 864218700, 642386094, 977709750, 981977755, 614998185, 680525736, 781476326, 360843516, 703788834, 841629128, 199058263, 8042962, 904221880, 668028402, 166565743, 34694694, 367884111, 5193822, 400120912, 622123518, 73386049, 648965074, 258758758, 471654376, 771438145, 182435344, 268852930, 351733834, 864038618, 941533821, 258385857, 130057268, 181141433, 980772740, 758851052, 797052695, 68038475, 681476722, 158100693, 864360180, 932965124, 264197156, 605885009, 14839607, 49330576, 87053757, 584568357, 105457064, 495122156, 657370344, 18314956, 311055917, 304268322, 760968931, 242591909, 673232358, 863534557, 172668770, 579831571, 908121049, 368913390, 636005736, 329405762, 280690146, 713479131, 771650235, 254913936, 210552087, 928445753, 374178868, 269403729, 70076725, 657990415, 793243576, 625108762, 45204702, 757730860, 277328822, 53989575, 625583075, 215456836, 196885320, 459044025, 336556594, 867853176, 188738354, 659495314, 890797224, 901803829, 713885653, 824968837, 145313905, 262007654, 875686844, 310927421, 432571451, 653898364, 944516994, 746523208, 40826290, 535344571, 825377623, 84538257, 486695317, 173534289, 179977543, 432105520, 152633613, 336685204, 279604749, 350456648, 737057640, 841913751, 100395845, 73929560, 197003312, 874117379, 960471730, 579855696, 318671658, 771855599, 72697019, 996231611, 197547798, 979740565, 572877398, 601864058, 572200364, 606943061, 28218527, 46030173, 907475291, 827990109, 6726068, 978363915, 676547297, 961238129, 908746528, 512766604, 894596885, 484558993, 384075327, 355381270, 99284579, 346546529, 139377338, 855284628, 167931921, 728592844, 470247228, 720658303, 656867092, 95428784, 199449355, 768739012, 777678793, 958436683, 251202328, 721733443, 669251354, 578633896, 936962973, 715154642, 805652515, 55782893, 370302316, 632206006, 242354655, 204476990, 835056945, 775602408, 163754038, 879169823, 703967833, 824072407, 214475008, 641860191, 268754809, 216087289, 718032366, 142332701, 632853481, 702446963, 891709951, 731998817, 422552101, 81378710, 764833875, 42893122, 556507053, 172960947, 381948299, 651870048, 228997248, 94655805, 141953309, 526752259, 966780751, 54382969, 441818321, 708726472, 434822243, 196849113, 457855871, 716677932, 189649829, 785616454, 271650559, 608968629, 534823594, 277631945, 348892618, 368982089, 81278327, 578171494, 171163307, 605858308, 7658123, 252035000, 338412282, 352958728, 592577704, 543881897, 475567987, 951988853, 823947663, 605589186, 696664882, 733536734, 575029327, 144361527, 145962741, 948706629, 83278360, 998071795, 388423775, 268551908, 261269646, 456304881, 518717759, 511797652, 508760463, 270695064, 461753344, 939374715, 802428202, 329151151, 896919535, 497655896, 99197650, 390701739, 719739813, 941724868, 162937455, 627212545, 200955675, 467669991, 762222960, 20092694, 367033599, 852235456, 568585291, 672081508, 790601977, 538659500, 4910189, 304964195, 449232854, 692438695, 356535554, 400062149, 679154931, 101610113, 50419812, 989983486, 890225574, 448983223, 446086620, 140984043, 798152241, 223002946, 466758863, 571436833, 414195847, 756466135, 26271420, 31858256, 623823185, 535167443, 634117383, 858872597, 829534080, 609991327, 988180541, 694982124, 826890053, 438208015, 309668820, 573049916, 629584600, 127538866, 279336908, 406198592, 923366307, 907266738, 413203799, 634201689, 764939975, 770806209, 97311300, 139892086, 172488527, 827192064, 910239084, 496093112, 441201993, 497735624, 981966175, 370546844, 405062807, 349178179, 127040073, 693626548, 112380224, 571666418, 125497826, 916204312, 456032504, 7761186, 79519658, 642133932, 742781731, 415796825, 320269282, 505257783, 221395408, 553419679, 485970390, 499072715, 992206979, 116157302, 777525034, 161863411, 719984750, 896431964, 276648333, 930065072, 851036374, 944638175, 742438202, 332957063, 764847456, 213035382, 880749427, 224052088, 336367312, 725285002, 267142809, 108466341, 76046913, 884170691, 746085260, 251650795, 14678928, 231276287, 891621747, 564977203, 135436711, 842736871, 432553014, 127532906, 824822432, 294929893, 585498793, 301225972, 232147337, 873620669, 512151905, 251253832, 707766032, 784214477, 896418975, 941254593, 295805925, 18172893, 973721530, 247894268, 247581952, 94701548, 854148113, 95695244, 626042576, 621246352, 157336174, 205077955, 997585113, 350854897, 770935971, 619821000, 24196814, 407524014, 39099211, 439654442, 99665796, 376315825, 892998546, 606717552, 911685320, 313114622, 950381865, 746476861, 310808069, 981757307, 289368292, 124918720, 293515050, 379873180, 979865553, 198406277, 447224294, 986994929, 144244665, 831577981, 881605803, 812557879, 776702926, 336577920, 429324137, 519450189, 579590286, 577603943, 544339022, 410770934, 850270313, 175562519, 571394754, 121079984, 798163701, 375661735, 392955211, 289993703, 479720925, 730262546, 924086800, 151928756, 507624958, 625751897, 687729792, 289223515, 182044357, 115027825, 37371627, 671070782, 410012270, 413967926, 811183598, 256740992, 584507147, 682153269, 657065316, 587983135, 264805251, 894579924, 790612711, 251839421, 425532724, 908418620, 449954661, 245405846, 739928171, 479727355, 535125764, 605338935, 336500950, 74744004, 413905083, 478683636, 408636008, 485734405, 753096786, 156689850, 813343000, 640402878, 3535181, 787472952, 699818323, 765162949, 531747374, 540854872, 994123221, 411780778, 840237126, 242259109, 178711743, 572635599, 233754785, 151435636, 397352333, 478079435, 450452143, 704263824, 99386287, 9298028, 363657268, 746957255, 919091990, 235076884, 746770991, 106936348, 534380820, 837021316, 473570052, 591611174, 697377279, 239343647, 934476997, 559690249, 526806015, 855171805, 386238491, 195571360, 626362064, 683966693, 96304749, 321359528, 456730236, 755197914, 491055641, 676726606, 833071212, 53024307, 771392003, 240101495, 824260265, 788118047, 45317600, 888138347, 265989754, 768381614, 686487678, 880643651, 276579806, 728865620, 829573025, 452354428, 532913863, 589796442, 576223610, 894287703, 382021422, 268135238, 695681677, 487256214, 633111640, 210520699, 617939043, 121765745, 653112440, 403317800, 437029127, 147363346, 32609452, 805976762, 368133348, 675341664, 770254911, 986885018, 483825078, 558510489, 489662433, 576459432, 862083822, 460186208, 574862669, 584440296, 555660488, 218239757, 978902721, 416018519, 981019233, 354329165, 582792143, 261693965, 769805587, 632579098, 738986184, 370291507, 782253323, 980763129, 18533537, 983755178, 500526387, 797147422, 81631120, 622313918, 803295232, 451237892, 964971536, 526287144, 757584009, 765707906, 928395101, 928223383, 841059232, 121000150, 592851393, 845546070, 906830568, 16705267, 540546212, 982757919, 50973281, 246538160, 807601820, 580923135, 612214016, 454998415, 264485217, 359761171, 856294564, 734379740, 978143555, 599667248, 639015199, 340910893, 229865339, 427580556, 252651300, 655112807, 514852923, 142057283, 350552396, 276886127, 71063149, 565746213, 312419984, 136765522, 340376232, 114149069, 600547594, 445364207, 562235387, 581117370, 72279753, 378031850, 865804464, 340832190, 263423759, 704484490, 727839027, 189872265, 154727068, 767449037, 554258323, 229615350, 121830625, 591655559, 55827857, 446339301, 361638968, 201840486, 430271214, 151381882, 301866342, 804265686, 842593820, 213272929, 274177725, 892342313, 973921652, 95492985, 43746362, 728006905, 219015440, 227286134, 612826689, 656151473, 635984146, 864874211, 828308681, 195052258, 461018227, 492300035, 664588194, 902152648, 282711396, 379896977, 966453954, 575991070, 655214723, 100903574, 583389662, 88078801, 722253646, 476611436, 413507733, 952452614, 360416936, 305529697, 315712376, 399621278, 941955210, 363063775, 363390103, 817616595, 674113191, 985917391, 503521206, 29315461, 946415278, 584831861, 693242548, 982837617, 300538316, 201478377, 705038472, 777909086, 79184164, 767255931, 51913775, 558409763, 895494228, 13846218, 490954785, 241520683, 997148516, 841597144, 612613929, 351146621, 2113828, 335681201, 881045117, 573332255, 118276468, 677348934, 853283362, 544276066, 964807467, 678716356, 309444766, 834055080, 565989280, 379011552, 96619258, 856143607, 730392256, 387102201, 269618656, 572843020, 356263168, 239991725, 149150716, 756207502, 230864260, 582947557, 71702718, 738183866, 124131287, 719531331, 611848744, 662118805, 990829274, 917563586, 723065527, 241282159, 750383785, 244492157, 870728585, 519666209, 789039616, 597245339, 761701, 882838381, 749343000, 292844684, 396240977, 298575076, 273148390, 326938701, 682193720, 895846362, 844140837, 900079749, 924515657, 72577193, 342126201, 238450563, 288932750, 493612165, 684428621, 838967318, 777643414, 200242642, 202199385, 922200067, 775868420, 918740118, 286681112, 667747834, 437362908, 158809633, 318356843, 972332997, 659639947, 849187188, 9853468, 239144260, 29235218, 657281722, 256411554, 369308329, 457750881, 386384884, 713251972, 142214747, 179394754, 832431112, 479092275, 359627024, 498349067, 374443364, 306573058, 854199547, 885416869, 79570428, 735582879, 115600024, 632304816, 552462408, 374941812, 203533966, 768811530, 143218768, 486571515, 544752193, 683739561, 600373448, 586781894, 639589462, 432985275, 749578316, 709262918, 28996285, 552881648, 385916384, 882020959, 846861920, 958476042, 512665730, 997043273, 511288398, 432773377, 625365372, 671569741, 323440456, 382424785, 478417642, 432372440, 263120268, 92874068, 604233178, 276920602, 414863446, 558186636, 863317768, 569141703, 130051356, 553383751, 796668200, 87568554, 429638625, 254074032, 652796773, 4529389, 643978891, 36253820, 778820791, 905877978, 775937462, 489001381, 722140675, 937978843, 265737250, 335856338, 248161169, 28509057, 40030492, 597770835, 828167433, 934115102, 178341441, 610009790, 230999177, 723449242, 518813938, 170927597, 53979119, 492441006, 139995225, 932089640, 784480563, 932201868, 948670754, 930977515, 298588856, 981552231, 212421858, 232941731, 547764671, 688886622, 324855664, 772870138, 230590245, 912964601, 843717703, 875459796, 370079545, 193743447, 824708359, 368678518, 795927626, 259316174, 699299888, 732892408, 416933826, 718452142, 394944293, 230880106, 199810763, 773752036, 316316729, 267554020, 447727561, 469940587, 30071011, 752277509, 746587134, 402210033, 812375918, 590966952, 357431593, 669425987, 30603888, 494454789, 811404176, 526969192, 231344651, 8293417, 288755051, 485708142, 837909647, 134143943, 330432340, 877662376, 536578660, 716308157, 359504197, 645472644, 151109351, 297022231, 930673008, 465823437, 84902109, 886106653, 966374790, 858633247, 80297291, 396610961, 590718178, 48276233, 590139152, 77926215, 886959084, 257198597, 489921147, 843229570, 397933895, 535482356, 350857993, 402280224, 179767896, 310255426, 886760008, 867362962, 382972413, 708948534, 129527805, 751994024, 461940510, 607167165, 326349927, 695510689, 726228091, 231945985, 467185332, 637980536, 883925953, 908876669, 625830894, 526541373, 42253277, 553348855, 394576715, 488355560, 852995700, 798077461, 496452164, 184405549, 27631213, 833260060, 323367436, 613388453, 430145768, 831275335, 100528257, 669829537, 829381147, 26036492, 433656331, 244664221, 105731409, 159494024, 439293440, 691177001, 927886881, 558880688, 768949098, 720733226, 875077986, 115826347, 744024849, 24253618, 606111634, 830513436, 69478854, 357947434, 725832651, 490196295, 851122228, 498633594, 8064961, 711186675, 669108715, 200416743, 177395529, 792035220, 838908846, 529870220, 637696496, 787788548, 205180344, 720474998, 687110157, 15909865, 954191507, 379893107, 338164460, 437675712, 235690857, 454361593, 649258283, 785160398, 903721213, 24506485, 635747426, 48789177, 358083769, 620892721, 959403089, 37666789, 298611461, 522759234, 543209880, 138029511, 858907323, 353558179, 618549566, 126858341, 996009399, 351332761, 458187136, 927843521, 437818257, 632928001, 749915521, 924560962, 834679355, 606480031, 640830287, 525966148, 452722646, 834655482, 464428461, 751165466, 527257244, 384827448, 129596971, 772990696, 222837597, 927785858, 761027641, 57584477, 732831219, 752349686, 847660775, 535995742, 901607571, 103013784, 197789131, 198027455, 392418982, 398199114, 293629309, 86104703, 178500342, 607566749, 899123660, 346072892, 343773781, 904389346, 106856930, 711982752, 573042531, 211660564, 214152083, 757893636, 26644069, 345149901, 64099700, 583419772, 938871244, 885471394, 210805774, 252794491, 972052642, 196047784, 199349164, 391785697, 938272653, 163092495, 261593225, 81258106, 414632129, 790811962, 839934427, 69947310, 12593935, 329217006, 26225524, 929123565, 121863496, 747754577, 840290803, 796375643, 296153578, 72482784, 465889261, 352600643, 630942925, 163668371, 207513289, 240386659, 259948558, 138350602, 93300586, 690834593, 546214070, 43159143, 929762280, 778075546, 423764416, 928661929, 846047748, 710249953, 573502245, 203554904, 943042256, 337467417, 585996627, 453806983, 843282735, 401859555, 599552627, 966107919, 62382518, 715434079, 648639233, 977635795, 807743770, 96854359, 975520210, 118561201, 855887780, 228659867, 845172092, 378694948, 756034278, 366177518, 724243129, 484336806, 520536274, 380088158, 597371844, 563270615, 750338252, 785329953, 253354614, 907771131, 893459253, 804530142, 882194288, 359070463, 338234278, 107961042, 519838258, 183852379, 65156270, 416331369, 856328686, 273859488, 98892591, 296784789, 788570652, 342778687, 542675977, 580672885, 275322258, 187877474, 448630918, 82458126, 987029974, 822844787, 156004415, 171344911, 219184907, 615850785, 155618397, 863663881, 539342044, 221257849, 321638357, 133842966, 889252620, 716463185, 620227463, 864180442, 768818664, 112961522, 880859051, 607541536, 748216033, 917348826, 100449066, 534012763, 41131063, 387426391, 41131549, 457325764, 296397796, 691943940, 384268490, 880064598, 255900122, 281144472, 762759814, 607679373, 348798876, 582684885, 726010886, 755187214, 109675553, 196106436, 136427051, 444091038, 238723644, 734790106, 836955134, 632712404, 928520278, 804166017, 53732783, 643801288, 668717396, 713947865, 42926925, 27284041, 433527222, 559409653, 319222639, 507978331, 96997509, 383628607, 485114135, 179645336, 217628509, 153979979, 684661420, 358110671, 88969439, 945436681, 620994494, 713695100, 367996619, 617985051, 485671926, 411311734, 263662072, 309402046, 365571681, 518825031, 725025794, 106274994, 257243039, 339073066, 856880752, 241099788, 77647896, 284891500, 70426411, 423992114, 693698071, 97237482, 540030537, 986784637, 305682110, 401356189, 577247208, 749325541, 838990545, 554174551, 174090104, 329051919, 553404479, 511247142, 175428601, 813198975, 724778302, 255629980, 408677893, 599555191, 265674183, 428219256, 361954225, 39583609, 345209898, 323956872, 286053476, 482343428, 580113904, 870245049, 792769699, 760248826, 488537239, 849814242, 173373971, 261223058, 387894663, 689267879, 3396297, 525922710, 934089958, 84255851, 415513480, 99927995, 271660144, 215888196, 74074580, 403671020, 146791905, 23383816, 709346609, 750926671, 752349985, 864713893, 698465048, 891345893, 570738870, 701322581, 432049711, 453129299, 526230029, 52916332, 145495373, 835339448, 294236847, 364975605, 933306148, 875658776, 122801809, 155651500, 61118143, 957744542, 936305349, 112135580, 80563010, 167340139, 194845717, 71809109, 943409895, 606140720, 562806049, 74640241, 988195753, 634718868, 424117256, 2347901, 588631659, 363504482, 552696463, 474042911, 788154299, 162864101, 164047742, 266892662, 742015651, 102924081, 235324453, 507077598, 238115929, 878317149, 829777437, 197706637, 629141982, 563645090, 573814216, 630532458, 579242232, 597286121, 679919573, 395694932, 11397510, 822212276, 133514141, 303980944, 371882828, 247275763, 395068995, 359645849, 864823228, 514426458, 851010121, 389795733, 109633470, 775716368, 768735834, 652195701, 37488111, 328516579, 653173753, 25941478, 140649306, 649443206, 424955046, 753432972, 63193556, 913402064, 924587434, 986727538, 213696106, 999443457, 825106759, 869832372, 782495847, 284477591, 552880683, 666288077, 812093552, 820130978, 977162096, 392270060, 435941714, 812082044, 620262747, 680040496, 706046172, 819096205, 890037557, 872879652, 584827786, 498992363, 403866714, 75094288, 787208234, 276038463, 336438088, 366937752, 686196365, 287398310, 87590654, 215764361, 273805552, 140045439, 819137444, 300623786, 714817780, 73474220, 913830231, 873451617, 683894181, 707168056, 418994292, 945012416, 398811908, 92776778, 547431996, 816770512, 740297546, 281545844, 228360459, 480245523, 867622341, 116918754, 545976060, 506342895, 136307285, 217816559, 583819045, 328116516, 534254772, 605831121, 984788393, 649529062, 671306911, 164108016, 586017063, 215764167, 589548507, 261052570, 688887947, 9818077, 750244626, 850913858, 354137735, 988052783, 18722694, 901970747, 570265941, 24565998, 575376838, 120226663, 693236349, 504024854, 187002771, 688662615, 319639972, 496033462, 794790116, 534764117, 224629244, 776648010, 448653974, 541323117, 30517724, 376634134, 784732472, 649877103, 942500074, 296523965, 668861307, 721931306, 536326567, 569708049, 1566966, 319101118, 504067937, 699096980, 850510000, 299585846, 837954805, 768190302, 843841566, 443953946, 98121215, 4908962, 112872374, 684113028, 101831955, 344062399, 861331562, 863256995, 780593114, 764978981, 417720048, 384988742, 260270190, 729886894, 334729786, 134608672, 144146049, 403783027, 251203262, 746703317, 613211162, 271614460, 433097652, 586255066, 602399977, 40295187, 765826993, 362691995, 197502442, 870453789, 62362106, 855081159, 844436002, 435730044, 312403215, 223427065, 49873143, 896904327, 2342153, 521806040, 943880807, 847779253, 370566870, 31938760, 323204774, 952357305, 474187391, 989706548, 407479590, 59005963, 904685512, 779517599, 856379682, 406453270, 512366196, 274732853, 999149410, 637470284, 579598700, 470571016, 21758437, 928369826, 460786326, 495594648, 126857862, 635719301, 325601236, 820009842, 153357873, 746610568, 307349224, 392468222, 703012968, 222813311, 709073629, 668132804, 277196569, 636009502, 553780343, 721510160, 174663883, 41853991, 264705115, 695666580, 507298996, 236247944, 632302062, 449429224, 526292323, 363761000, 386884378, 982318253, 835017606, 608095545, 904901300, 200743132, 701600001, 389944478, 339761422, 946264079, 15356580, 831210727, 592914280, 644013205, 187268727, 858299727, 828985921, 1372943, 310211569, 341850149, 639052181, 895901079, 999123407, 209874292, 626137427, 529888343, 492441905, 878974555, 353183936, 904475733, 802271544, 839064190, 763541577, 987268828, 350895703, 545931256, 243793436, 402536458, 416376065, 370175733, 882646692, 563808192, 169621561, 424355774, 208960658, 761043268, 636782377, 281968537, 871268845, 149499454, 510708406, 835673382, 896410393, 899023027, 155135281, 950289484, 652653874, 476055598, 164062438, 74425368, 379974883, 530452831, 517636586, 940347489, 559699047, 310063153, 958660236, 714812053, 675987472, 399191827, 804130950, 400229209, 10220646, 326508746, 770419741, 75329810, 539180346, 712369291, 5663874, 856258011, 316568476, 605288650, 986154435, 642718347, 603696769, 737431647, 938189478, 153477720, 72650991, 58961813, 355546877, 195758483, 515639216, 912696512, 765823299, 775316716, 433820389, 550026806, 720489347, 994769848, 660364685, 522759006, 5395350, 792560882, 223072425, 906535256, 628657753, 900816908, 206992543, 339900342, 782671071, 136416944, 202909920, 986606497, 503539440, 925292794, 952065065, 17410347, 647828592, 353115253, 740403719, 296756580, 123405859, 11985581, 905074295, 232199059, 323910773, 713010752, 415405310, 647483927, 808341987, 816876421, 47996940, 556114397, 600872578, 429800149, 147992232, 969853116, 31181429, 659446935, 278026256, 914043974, 822737684, 491685049, 832656042, 479348855, 215601276, 439410574, 359030064, 864027025, 439188979, 541458695, 142719501, 584684884, 826623249, 419766591, 186805577, 961025725, 129716907, 445344886, 232184892, 329191603, 94231161, 156844334, 700940076, 308454700, 557771707, 60331659, 961503083, 699645548, 460535046, 785568491, 464806674, 904396830, 493436186, 186814067, 302015248, 59511333, 770068384, 965578614, 169109416, 207112189, 361964701, 22985890, 778182105, 656447422, 585142139, 970288682, 507476774, 495338254, 321073107, 125451049, 884569493, 502101160, 768903283, 837524695, 578426669, 261893209, 185432458, 154682311, 345671068, 93759586, 2087734, 943389717, 360824346, 3756632, 298170633, 428148185, 680407721, 814171095, 568399900, 462556909, 579943388, 289369542, 414022249, 123243805, 902685896, 722359004, 121430, 748761491, 385789976, 10209741, 890773032, 99020772, 788506484, 29768911, 372370195, 573118353, 71349775, 57559716, 135387307, 968528251, 875735342, 732054059, 828465058, 997006187, 559840258, 740194092, 509125705, 668974094, 741254146, 754120893, 52546360, 208858186, 773274610, 792685640, 778475828, 350830055, 288491264, 553022410, 857223777, 579666927, 932474985, 401159647, 846319379, 225932562, 319425366, 15378021, 15542200, 222569523, 217897611, 942050136, 472802045, 805557994, 502138031, 780267022, 707434009, 36588592, 610858310, 960359910, 961597620, 236337302, 350532792, 9479909, 659072616, 558608329, 610256223, 272084305, 476200070, 950105698, 995318981, 746880676, 458574429, 918395518, 231991487, 576277395, 515731897, 634179366, 10082505, 875563409, 864355021, 62156857, 872336917, 273993146, 10745216, 609172670, 967905110, 523936040, 92961766, 263961488, 455834944, 794033406, 677448165, 560476864, 689750926, 417025257, 924725894, 231241896, 504426207, 422710107, 16396416, 932706884, 812702000, 806404015, 951825931, 701466177, 701066624, 120142545, 851167461, 69932288, 434507277, 46451684, 925211081, 579420560, 234873694, 480716265, 959647894, 396014448, 998573121, 194458321, 908322783, 494890180, 359701303, 271039195, 119422054, 271297939, 846128755, 383523997, 380778256, 972080419, 150069145, 389424885, 627810778, 420464325, 665615768, 460336056, 626652508, 737667039, 448282346, 562709106, 31492570, 483483590, 189550460, 165183778, 343767875, 567919591, 112306373, 790069562, 518116586, 514850351, 245880502, 312488441, 884193058, 133932880, 332135446, 372387772, 162168865, 969692717, 233922695, 63071794, 628533781, 672416228, 580198259, 483386985, 517536892, 330587148, 131683088, 702105790, 503558956, 840033705, 864989288, 541113786, 426211952, 8458208, 42884423, 77502239, 106822208, 813380287, 445828010, 589881010, 345608675, 188448958, 960711908, 632534373, 511628734, 693037183, 62539512, 23446774, 17854434, 796943653, 511973624, 1660243, 347241489, 266314353, 717768371, 614484938, 850261922, 27357113, 29029923, 570166216, 225131066, 703886138, 929840747, 122257127, 18209399, 143727134, 326820926, 692639481, 135938737, 991443419, 90906615, 844171608, 580544868, 743773058, 242940773, 122147367, 509035863, 816118670, 649188265, 460280776, 415811256, 188273632, 64199211, 833736244, 37513865, 616653811, 985081368, 892839815, 108321157, 201486455, 669137292, 671180886, 701496573, 539368506, 295619818, 454077668, 119017120, 81179241, 336039191, 811489071, 386180248, 364633360, 492683576, 810109618, 854490845, 850585611, 561688654, 741400592, 933001164, 350836133, 551515276, 477410853, 309534319, 282432534, 647950272, 237788439, 635359669, 284618688, 132922920, 313113265, 463529770, 352768742, 992780315, 9174440, 46625884, 325177683, 206088815, 104079020, 957318072, 215634933, 870526397, 615591366, 886461425, 469285530, 228717852, 945467210, 412478884, 457170464, 874931156, 738365034, 258764616, 350180264, 960651502, 625974248, 480231615, 89003849, 55408119, 374487090, 1960728, 964199304, 668779031, 312663138, 321455760, 708037356, 670710645, 946219497, 169077229, 923243718, 959648870, 660292897, 431209152, 466527259, 301036491, 514621476, 990185820, 254190832, 33518017, 501482036, 274412437, 21311095, 277249510, 169769927, 569909625, 370473533, 920949017, 624474338, 867031091, 924073158, 970669853, 512375537, 804813824, 899950831, 469158459, 921412879, 123969024, 839160895, 299996467, 661993522, 994337389, 568958425, 316497412, 549100635, 938132567, 398107189, 106494703, 123453903, 753255416, 32383529, 71053937, 830483691, 752035653, 1936945, 499464628, 904791512, 323374430, 813507358, 7726640, 507498108, 215948565, 43282894, 581396375, 374363815, 833994669, 742223240, 208176321, 770820597, 356036635, 933182413, 625821654, 333061118, 75386225, 718772920, 86520334, 545972220, 605834149, 685436991, 835009645, 345413347, 417629925, 486755298, 423548985, 945904657, 273880921, 762967379, 374162100, 418323179, 395379971, 908086425, 293524081, 173018994, 908234135, 493429651, 147073841, 609638513, 302209453, 922057062, 359456043, 879922463, 79035287, 149373233, 891742621, 537543771, 11092256, 503523287, 685089262, 474555764, 215228684, 541902057, 442016444, 4019283, 158700661, 923528206, 558994633, 424354725, 737664763, 293375026, 465801472, 3318609, 22412915, 115750586, 987697007, 391772360, 883236460, 709075523, 547128862, 139546388, 326059763, 798967910, 583960558, 260416370, 304380166, 40209142, 868612310, 679884906, 632137294, 999006732, 219910078, 416704959, 577878292, 310105899, 562780104, 293093956, 555485800, 320353362, 88359680, 383148655, 930582706, 582713554, 561042800, 119760680, 147032946, 697703766, 924301452, 889944832, 875288538, 748462973, 817430984, 346786393, 82633572, 687820032, 470648186, 574470218, 996205877, 377896267, 76864730, 454248568, 835513032, 794710329, 603923878, 581744523, 729587908, 899205155, 838214886, 66129912, 526015524, 139415075, 939761951, 745021137, 6552936, 232239071, 487923490, 282582754, 140887890, 744828461, 636406289, 39452632, 32585266, 350601966, 898598725, 644432587, 711275470, 401193589, 587040222, 147724482, 899149277, 217649986, 7881790, 561374951, 921219042, 788329782, 262995523, 668264422, 884804435, 411357735, 842459171, 74734481, 143702830, 944626164, 584006151, 723274350, 845856314, 212493627, 396753522, 779609006, 610027570, 474061641, 288812381, 116219676, 950717842, 614825205, 576347056, 508085928, 791855348, 377696391, 27988049, 954727748, 851581484, 656590760, 615312965, 612612931, 607052525, 362550457, 667061303, 855044802, 363712574, 964748589, 776410804, 619843163, 661967159, 45868539, 513827848, 89610023, 463433732, 854749878, 425975124, 288142771, 398052019, 532426391, 611975516, 21705804, 655471979, 465805330, 52126396, 735533395, 948633596, 965138982, 94716937, 490230855, 638341912, 464137950, 79594343, 153641834, 129919091, 505092817, 108095829, 768491705, 882068120, 314141661, 589604649, 919395718, 974015679, 998293613, 108767746, 45958469, 17015055, 89255688, 702416247, 844854338, 515807416, 954811889, 867612873, 443170227, 696670935, 107287508, 256502092, 214362168, 458743609, 900791395, 687518594, 482092050, 961462722, 920747184, 589402920, 459968631, 634415911, 426965808, 44346994, 365608533, 873665995, 528599665, 915805595, 522968925, 174367691, 582573072, 391209460, 339580723, 697485317, 791387213, 40604497, 980411052, 871918875, 39697104, 880723177, 727589003, 997090745, 47724679, 486481655, 316510105, 736022871, 447640199, 229766441, 522976336, 161072455, 573205780, 270560906, 189815650, 369931695, 142246802, 558293791, 831702206, 947116247, 349675379, 891200963, 814668224, 869123986, 469841455, 894306024, 543517499, 244277026, 892705971, 84874982, 32168210, 508838558, 75923562, 790903426, 294456825, 45530817, 773332621, 81099327, 938988242, 529282332, 714835223, 347483435, 64452069, 934924650, 861360937, 264474420, 235091635, 473870955, 189303961, 305618105, 475995560, 752714221, 678157459, 62428451, 958007217, 324656477, 854152119, 327678229, 626472724, 466456034, 446212762, 207345475, 784261101, 91628654, 777539356, 5908986, 590266889, 708333041, 596762356, 893388921, 412807023, 430674113, 766606145, 72960166, 715832622, 131360945, 394073901, 762307877, 924081548, 12192880, 753486333, 128716190, 839223028, 201002265, 683166992, 420240289, 397542073, 664411492, 733765908, 232353993, 958386008, 870002439, 296895476, 691351168, 961619833, 854560590, 777758272, 526631646, 481810008, 769128351, 903883856, 743663387, 118717893, 979494369, 491606873, 194080085, 900703562, 981684348, 831786058, 224483471, 648603684, 899182506, 904256255, 132139831, 370912774, 208337422, 598966416, 961486465, 728652034, 884283185, 32193326, 86465783, 396099661, 387096559, 567232172, 48561037, 552519901, 870910130, 736973556, 693088726, 780585526, 92447474, 234126125, 642280503, 632997328, 424217859, 186746443, 658938044, 110704560, 39604829, 452838366, 273087717, 288618540, 260647455, 577226034, 120338516, 311424339, 814783006, 370516400, 692382426, 780415300, 286074983, 864718134, 756981992, 178018439, 390495024, 302192140, 429391105, 880437085, 233239042, 675171045, 456855548, 702009774, 321718293, 205347987, 407074151, 821908861, 619874843, 402401308, 13596934, 905996484, 275634244, 706257532, 867550399, 232616329, 334919801, 513872488, 236232438, 705058435, 407812824, 184968182, 648528692, 672974917, 822083975, 462670069, 119346145, 501550199, 512009335, 236102315, 869529336, 198610960, 534594135, 607296974, 989781088, 962044943, 692821728, 403948549, 644578728, 343740146, 587002124, 308903028, 984023112, 837443123, 470391871, 772610545, 126522670, 686277750, 250267334, 618201702, 451126038, 880011797, 947088248, 261036184, 484551532, 321113294, 189466420, 256746588, 946760889, 845759000, 79541145, 797949892, 829685687, 27871240, 910024992, 186075914, 959397314, 132761847, 578724021, 232875247, 474833064, 65958179, 301205556, 466237286, 162842224, 673848515, 920364999, 267343835, 78245226, 137577656, 984680998, 87860886, 794688742, 696533307, 83028599, 472844167, 812894716, 760457114, 558044161, 70696653, 67938471, 164216664, 52731757, 69655294, 526876510, 45121267, 167886388, 960711502, 148186371, 373272605, 443690307, 78029979, 255511044, 440907506, 473811877, 61350531, 284357057, 688946012, 97462154, 324745797, 754948357, 970647251, 223579094, 579364243, 647346161, 510740952, 970257450, 409825670, 934767069, 778221004, 617132070, 381328017, 102017509, 634298269, 80247832, 977354757, 245373831, 736097326, 836156089, 643783558, 984965546, 406417065, 115304155, 209268929, 398865683, 521731308, 489666427, 325015189, 723057274, 813590763, 93900132, 882904650, 768604618, 297716884, 268161410, 470152329, 770061657, 28454420, 927119836, 308077135, 287625417, 364351011, 422883215, 417042843, 554299493, 855164678, 103061724, 876560452, 836960026, 230013227, 723329863, 836832832, 317236576, 181855355, 532169448, 168018599, 194626148, 785032330, 491368709, 31086564, 585801173, 955845904, 877862538, 323824068, 485220785, 109002597, 120144860, 136036714, 783940990, 196379089, 981895364, 891620800, 307576176, 468260365, 172709910, 965030130, 187661845, 540743103, 270104205, 476261786, 427407206, 43099955, 385519187, 579355310, 931703169, 452334862, 292890241, 828910589, 109061134, 595523061, 790786166, 359888074, 693712366, 137877462, 302533005, 806711258, 474337016, 196121186, 22596802, 685616802, 624416393, 789189998, 927958211, 33424249, 958090756, 229527197, 549636481, 28722855, 236040527, 629233696, 611746656, 901808916, 254232292, 337962914, 461669513, 417067485, 629554184, 304984283, 338249709, 658076372, 979113545, 932999739, 587728607, 867664171, 630193875, 383384507, 744242553, 571118451, 657267577, 15480770, 921448383, 532178110, 531498418, 709102513, 478079892, 712905102, 967107567, 887048171, 342108648, 669371768, 417858336, 709733922, 404002423, 990542159, 654989328, 617929516, 553066013, 193558655, 458947544, 904839348, 302226479, 648606920, 979390301, 586936597, 49054229, 218535926, 811736080, 192002852, 102087691, 774093919, 622383934, 573980173, 269746643, 29991811, 252665563, 706415447, 293388706, 480286700, 671167998, 630478240, 975520894, 287295947, 446318360, 359470573, 569640314, 322522167, 622265103, 739319095, 745701199, 102510055, 887475444, 653525088, 715651175, 440186634, 750603908, 762237398, 987799332, 358669001, 857541490, 753847489, 642775326, 778227475, 357191066, 2407189, 902878687, 57199604, 689043255, 955535146, 108574322, 409681345, 627465531, 869235679, 421335134, 155633150, 813770746, 185159007, 359470954, 406469836, 461431503, 622390959, 880274209, 814553050, 787639416, 273895743, 19884772, 967816742, 536773417, 692731340, 207626197, 249340210, 327446501, 995242291, 965828267, 57620022, 50287427, 851008086, 277234616, 261616682, 773457611, 413141091, 214836151, 185693232, 767513205, 193833357, 81136524, 460191867, 171457078, 858339248, 762476926, 948617816, 561763884, 153850043, 709467743, 24086144, 299996937, 973860038, 881356291, 326352553, 443620794, 772273541, 370987241, 205469758, 680962261, 82724141, 298608385, 937033670, 310076899, 489297858, 345590444, 447879203, 423810194, 935553213, 552773341, 892167819, 538131808, 169008269, 556174282, 989318981, 495041915, 738567955, 11051833, 477395738, 814061508, 198488098, 303212811, 715372176, 769502230, 655117530, 604740028, 567396579, 990068245, 257102951, 124193773, 25787815, 466758572, 281961845, 205057337, 896964619, 211731888, 906610892, 101211009, 508285921, 672868106, 392359849, 35195822, 914895285, 883391557, 778111240, 926131450, 353729397, 525236003, 467554805, 33404374, 821638195, 420634775, 532499639, 990679527, 275282799, 99180736, 275608512, 896023728, 353640894, 743455518, 342040096, 849154546, 479273416, 212405061, 414566780, 254083479, 927681605, 41049914, 609939861, 79237546, 777896549, 941128832, 97791358, 924592181, 299873212, 529429681, 817354240, 503840368, 99448296, 493134631, 6885185, 937476333, 462726403, 983263402, 86930555, 202217113, 603779233, 524973265, 405383974, 911102210, 22452567, 303420818, 90432373, 591168781, 632709307, 407452552, 73960574, 76615808, 880514188, 734230164, 778713946, 515020281, 72377740, 83496866, 992753020, 525913557, 2093640, 610939829, 38344002, 447372354, 638195162, 16660958, 121403183, 949776221, 551176826, 892819572, 428826742, 387479432, 797392705, 189206693, 834683583, 906113991, 536397382, 712951348, 21458099, 286505608, 144861903, 177637613, 395388951, 943159326, 372864832, 362630968, 111948849, 122344374, 670147933, 768362532, 18587688, 620466631, 802655608, 428879680, 232523594, 926744339, 369930068, 983906680, 167796080, 454554358, 134382008, 452483109, 189057923, 109831637, 715568116, 649306011, 348891761, 681966771, 856221780, 22060550, 706899, 269863653, 963177190, 309924100, 101310241, 516100583, 34822825, 186971465, 176169728, 891757332, 195017813, 723811898, 235300878, 182123291, 351894705, 975289636, 555746340, 518074107, 949450240, 307967536, 949375002, 352166447, 82998965, 422142107, 935925977, 899002335, 304439943, 105909155, 936514426, 53929951, 932416519, 81517091, 503779714, 34123452, 195444947, 61850243, 168533451, 616370423, 623981088, 771792635, 902466331, 425156494, 145991807, 15441962, 230119667, 595729082, 555485843, 792397514, 36206209, 510349624, 890449064, 739438341, 4757924, 752248106, 926216804, 111060372, 794172031, 689524697, 301907753, 855003751, 325962497, 643730347, 676705149, 126983754, 393884257, 895861942, 290380463, 473759791, 901875069, 859832944, 141437648, 872224071, 245725313, 860888251, 689392876, 786466075, 235834589, 184489494, 675694603, 102349506, 826302814, 100225002, 34398985, 174577697, 22767812, 56178237, 827226525, 385383460, 648902953, 632478463, 188427667, 119979958, 501732383, 799723639, 910291867, 722567280, 309188479, 175682078, 939607097, 837522517, 735424083, 961901704, 705355349, 496961041, 297883443, 44779246, 975533211, 404868117, 438260458, 423780221, 382952267, 265547020, 205090589, 669348972, 618319271, 710375903, 385452414, 64898165, 66202067, 629445427, 354472116, 202148204, 705326601, 563864185, 851039856, 278120412, 160495780, 763543378, 962577368, 723857424, 855810033, 326496982, 477279337, 524437371, 533689243, 895129137, 142153064, 198798511, 238008706, 366359797, 544343729, 879607889, 588615328, 306126683, 596773421, 708404102, 495400268, 528629936, 514915680, 422971170, 169417639, 433529269, 232197246, 302341245, 465452518, 690708649, 98840167, 82780958, 481692443, 866100781, 936710178, 257200011, 769156970, 930368958, 354434993, 165891451, 856449825, 735453482, 212595512, 52490667, 237996394, 251610577, 131883269, 658606444, 284203299, 990788003, 990443448, 662611395, 496263920, 843100770, 173074355, 682673766, 992169557, 723560930, 997505653, 221945393, 720172440, 750203316, 532056869, 261409517, 674894055, 8281486, 950083598, 561567742, 705542104, 603104293, 36625302, 282028353, 111836018, 402096645, 256376816, 724178197, 534408803, 197161675, 417140877, 66021011, 13871079, 142006862, 382397126, 372678129, 900622761, 979488712, 883538954, 146141136, 992037399, 940085732, 81450919, 34738385, 617690481, 611872320, 342616799, 499417603, 940771935, 823548276, 624852964, 770731074, 864730537, 920291644, 206892658, 283618714, 984324735, 696569932, 281921452, 682822724, 2795194, 34810474, 222490679, 961546016, 991819821, 855125163, 880339363, 517488829, 791528584, 749027990, 792566233, 769911885, 723789195, 404376358, 212689279, 610199926, 364574782, 291635406, 26163603, 682867016, 875413436, 382178577, 953956264, 958721727, 676858449, 345502209, 976529581, 200218275, 175581840, 874812727, 251398992, 403252093, 875169315, 129779719, 330388847, 446643431, 665113210, 152941233, 317146098, 813243727, 582157270, 107477229, 823832434, 536992229, 250734729, 952250109, 611959332, 917921866, 844658586, 522874907, 735358626, 392565517, 128246887, 671219261, 231324543, 816176624, 822431600, 439409188, 812122073, 225550610, 99320405, 811877578, 159536767, 31818105, 176597298, 481713269, 107329749, 665108604, 601030234, 375907162, 741775157, 914292733, 730797841, 516785669, 639790066, 249120862, 497501951, 970137697, 442079827, 486569637, 247646436, 922699253, 132219861, 985956821, 347174828, 117894314, 12686666, 584546283, 489802973, 85456780, 365969648, 421462787, 945980925, 454099501, 270905241, 578628530, 116718721, 237250634, 251503819, 186670007, 558534433, 158041951, 127942755, 574817521, 92149688, 378373628, 678877240, 417008095, 2526207, 15029807, 810502152, 885501486, 646165360, 180092205, 907311749, 808499453, 637890286, 583238084, 222752945, 337030627, 5304346, 212634516, 178057209, 137449738, 941812020, 278729643, 377995705, 638582856, 199157688, 328677867, 811334644, 621891679, 506939960, 714684272, 271463928, 792478894, 377252730, 839991211, 747202265, 354044508, 680281853, 911402325, 995188298, 452885271, 861605340, 534865357, 293795026, 415085564, 830575817, 269568158, 929045668, 551739070, 587253212, 138494099, 432439069, 518199773, 499244291, 342489911, 513497367, 945724216, 490095681, 862629541, 268390083, 244037632, 654571641, 971210629, 828816383, 371676373, 854374569, 2869277, 388777822, 315626881, 187614999, 635646108, 885887990, 626717155, 165786258, 20599600, 674058504, 302410008, 993938880, 980213513, 57790096, 396592703, 333278168, 872593392, 55488766, 732878777, 542014469, 11468969, 648818554, 862291123, 879916599, 711022849, 329675767, 35901718, 911321791, 137412405, 906347224, 80634320, 256432804, 51522444, 243527183, 308460088, 483166184, 617060655, 205814466, 685840867, 399014135, 154822264, 233014577, 814869690, 299458436, 435568159, 467161225, 429544245, 216424621, 363644283, 531746539, 705512708, 37928949, 853653392, 954345158, 172994014, 901746159, 536854191, 379049000, 337733685, 117906935, 228936283, 362518951, 517748704, 984834065, 68277825, 310009757, 748634140, 621018932, 490686775, 787240081, 253217229, 146211032, 235998382, 600594953, 368357038, 628390342, 426250316, 373115086, 471593720, 915905440, 159497932, 383469235, 6468337, 300793392, 669302956, 724834517, 276521188, 353860599, 862887760, 558926611, 860112753, 729148275, 573618883, 612107229, 574889468, 271446905, 62524775, 283652102, 33338281, 260452490, 358370265, 596857509, 52979516, 359689314, 195835867, 6619121, 202910036, 304426560, 786469291, 842697200, 935629786, 917978183, 819751326, 52882003, 573084174, 521561474, 655884102, 127963562, 509193377, 538383740, 743729651, 372262289, 894297929, 767148921, 100802334, 741186734, 286686576, 686263711, 42014138, 55050538, 362866173, 672397011, 104489291, 483090117, 535789899, 106774516, 753322394, 141066064, 171569897, 764202277, 957267156, 53004148, 300080104, 483361232, 110074521, 337782114, 208327892, 706680373, 846581444, 870631560, 766141469, 327934593, 781629719, 923444372, 539522788, 693843671, 688045937, 558416481, 760394345, 556117394, 24624384, 933632268, 486466837, 493444902, 615358410, 54936404, 977664610, 603170610, 371422861, 273726529, 388590030, 354123509, 852994581, 641381817, 36537772, 221862024, 971962572, 224856563, 616189961, 772434268, 372924159, 200009835, 906134615, 49420985, 284641378, 878461777, 712231071, 703866115, 769873013, 656126363, 456894889, 638971732, 165274267, 144925967, 155470202, 800340758, 399262268, 640714023, 219669411, 874273032, 564891859, 640826567, 388464019, 773042360, 177646473, 747448653, 864527343, 915284205, 760598877, 841672427, 385694550, 794524321, 372153736, 225950158, 10701377, 787679039, 205928828, 254882384, 842287878, 734159049, 365291092, 701401208, 948825540, 795037996, 560710245, 447140723, 768422441, 842075531, 434471668, 522530934, 108648300, 83896146, 324766437, 491917879, 663038118, 475644313, 215039367, 962916939, 461580376, 40379745, 495218671, 682745319, 284069834, 792819469, 149115036, 949223458, 739249098, 435596598, 338477860, 476243182, 801609340, 424628122, 262457868, 15934341, 254096529, 978402953, 423935479, 689644008, 639974467, 270084537, 976374796, 580417004, 195856071, 286254387, 638027332, 944671904, 23403372, 43615334, 31296647, 122821281, 821800358, 933743955, 33029713, 696921644, 157258897, 548523983, 921245975, 381037536, 590522620, 638732044, 404589832, 245292619, 317092398, 442336393, 451696173, 608917625, 273937344, 155228634, 744171917, 368896844, 710323045, 19127964, 561417302, 112630192, 591000058, 295934237, 211855288, 550415625, 523708585, 288615266, 940615312, 564922165, 947632132, 789955743, 466643611, 23280546, 407972314, 382458346, 719296642, 705010024, 303797864, 49024495, 117099454, 966991442, 715688799, 364912007, 849445654, 46242070, 212571519, 17852092, 97098161, 366639947, 532780218, 836671222, 954990327, 410192345, 984184240, 232119842, 948368911, 851453197, 505855443, 138905267, 937745585, 61619128, 722981163, 380851000, 393603395, 567610653, 590979738, 195980178, 926384477, 982788821, 623972193, 433183152, 416758874, 59440471, 644095890, 826905916, 773734007, 317570183, 384107287, 269730941, 59580786, 156958716, 857326074, 674066720, 227076936, 446446917, 451530867, 60414125, 309835870, 84768491, 885465319, 107317810, 998059621, 553150046, 534414351, 314473380, 106407765, 340935174, 250396294, 272018724, 628784043, 942183150, 59484174, 158731507, 159867528, 977558259, 258661424, 284417508, 384872119, 973602246, 572048636, 683095150, 147214583, 70005093, 986039017, 374792464, 970910853, 858271677, 111162411, 182714050, 440331783, 302236798, 103806354, 275234449, 830175676, 113125319, 509594188, 640391253, 143356463, 561842589, 588875767, 496178274, 356916799, 389437263, 742656768, 967991926, 567823143, 189235863, 291227893, 661708015, 986312762, 602418279, 355058743, 111662131, 271939823, 425547858, 678012078, 502853605, 963117209, 47872358, 170283034, 707915402, 94092180, 150340294, 101809703, 587779651, 718980732, 924281151, 145345923, 649360238, 471636622, 732802533, 561443503, 255762077, 310208874, 26675667, 315316371, 692846619, 663196980, 706761706, 760239090, 462497832, 461463235, 685094083, 848688834, 453537354, 208765702, 842978652, 425802336, 419525713, 641333403, 606263425, 309188327, 932729601, 394982417, 558398467, 688930700, 323966397, 800636683, 534780685, 73609921, 25424632, 635777570, 830202001, 745951135, 521234131, 328828021, 288037277, 923115308, 229311398, 11706556, 431219124, 888795225, 451732703, 904506959, 238489949, 58625107, 14266884, 847481585, 281787457, 51506424, 188648674, 643834131, 665072711, 776981408, 598610086, 306634814, 845921377, 561067049, 227754108, 918617670, 394191717, 792935146, 853330001, 877291060, 488049098, 686646812, 756281901, 956416453, 797979234, 958384397, 799694888, 275754440, 819365265, 861760012, 544184076, 481224145, 171546998, 848755816, 509116060, 146984606, 538497366, 667920810, 687001732, 921631087, 955363037, 463225506, 848202417, 749746887, 397250619, 607839247, 916129362, 565748590, 982276772, 202645499, 354435405, 584944154, 19782531, 352893674, 493188668, 5697558, 780126303, 907728490, 979923954, 747687192, 780758173, 582210240, 545432774, 25068245, 100880723, 577050836, 765771517, 467716249, 667647737, 542208791, 235014903, 187049310, 474053278, 254599581, 148298967, 114598714, 338593013, 223523790, 481551496, 789431180, 882850529, 923440130, 430548143, 691519979, 463358910, 157964398, 414602593, 986297993, 12816364, 978511269, 891917067, 50470828, 733672589, 824992740, 486269480, 470240495, 900585518, 722239526, 996614283, 459093322, 165844410, 765235429, 391658125, 781742215, 45856623, 773874153, 804710366, 113324183, 740304899, 599843232, 701408084, 191750911, 841232048, 349001373, 468717157, 335998325, 786475315, 917700002, 470234063, 350402095, 398526196, 514664312, 37004936, 115896903, 172309654, 950396232, 981303078, 135086078, 395993337, 909604398, 936952338, 463751089, 242581460, 783840975, 497988886, 607874299, 761194661, 866472974, 986519694, 803257195, 713713148, 410193292, 308525673, 594731310, 474021236, 959853062, 962922785, 39594272, 54385165, 193317839, 599516771, 476517425, 638032124, 415177512, 427825443, 869493855, 14578512, 378560997, 636873316, 26493504, 154570418, 344791121, 112109658, 959516590, 438361717, 310686124, 581837481, 198753779, 216890896, 700611758, 922977764, 311134203, 20308982, 201656177, 771317938, 169898324, 362911544, 119840309, 789289905, 989786118, 226528978, 831574997, 764307895, 462665964, 260101334, 580749785, 948911500, 356587899, 89647430, 527828260, 626676957, 410393184, 996424829, 19267490, 946298683, 329630343, 679610121, 516974884, 197164269, 348602528, 205917177, 680038116, 22253275, 663162864, 644434597, 597149073, 938059938, 96771311, 404408092, 734917191, 762408285, 947707484, 888620072, 276040982, 176553345, 565485343, 734675295, 995110196, 158556740, 622155832, 800275645, 650062653, 262252396, 791168285, 986942902, 833469806, 118893738, 776787597, 859882149, 39757659, 58415360, 546574672, 11737664, 637661015, 190955110, 393437450, 474259696, 843672680, 81260898, 930188990, 503095958, 518370425, 719170188, 43571477, 640246812, 211166442, 945472953, 769079613, 612760126, 155411524, 35454536, 97874301, 721943741, 688427166, 642594017, 311096169, 948894694, 389550709, 110541446, 846199486, 134607612, 406085254, 574278314, 156169343, 190869291, 388855766, 497980521, 363713391, 268082469, 229370348, 782375734, 955349973, 132748708, 899543888, 619254487, 549321102, 718340635, 247933009, 772653783, 884464779, 148781054, 714133122, 192256467, 889683756, 172740959, 263308912, 964642982, 316373887, 57018463, 897392175, 209607107, 533062583, 88517822, 102213546, 418145984, 987296368, 757221485, 752009338, 897931079, 981809619, 641583511, 347262049, 878485321, 316513158, 70868431, 391170428, 54749347, 264608408, 192386638, 709065930, 502054911, 409518219, 504899727, 464679050, 974462207, 311435715, 434352913, 698221686, 587094183, 15566057, 734679500, 481451196, 6265739, 981495785, 365846878, 54577138, 759917571, 823261541, 20546776, 368931502, 199839501, 95952209, 428762441, 750209556, 48560259, 725129062, 780598800, 613395246, 901794021, 318640119, 42337317, 130324245, 284636646, 971476124, 415160554, 778950188, 666393682, 690335077, 589593341, 365255238, 904430553, 726475096, 257735697, 727336783, 402718151, 98852681, 229275990, 618377982, 128492888, 557091995, 832238376, 134612862, 832798295, 507787868, 53559650, 685541235, 695569728, 295806261, 644912833, 920351560, 201029361, 803430816, 941839950, 201126249, 517359766, 400914932, 988412115, 275094075, 462224447, 949662390, 875067186, 753937356, 275739024, 548473403, 145652518, 649287905, 837272741, 413297558, 700676613, 730699235, 210057998, 481461600, 566399941, 524940182, 856863611, 744688296, 617459822, 827431035, 763632730, 831787650, 94090438, 240680867, 453280563, 75544045, 111159857, 164638788, 916317593, 435623829, 793649563, 881600237, 398143727, 859301724, 111534455, 81050918, 154900304, 435766338, 892779665, 573285926, 108561330, 616432907, 637404458, 747105472, 118835413, 652288492, 826175611, 668183033, 26040151, 669686400, 872586840, 227881125, 648325404, 659843825, 218509900, 629548075, 260785028, 535338649, 893904532, 522821741, 877628126, 282827503, 570254615, 568303866, 919817294, 988498328, 614425557, 43459060, 623503500, 664627032, 636303328, 846601150, 197334938, 526310684, 619049058, 789060025, 686637563, 867850112, 154139784, 261720116, 35831544, 721463940, 161369224, 780775980, 697414629, 145547088, 221230954, 153687793, 469588504, 978148441, 50048980, 117019186, 274831128, 255191748, 604300245, 524045461, 880688992, 541303925, 235393700, 868264109, 750989643, 393801159, 838425660, 627770641, 765059226, 183285887, 828393977, 587358077, 407005805, 755346208, 344145447, 330245966, 653277952, 791037848, 480469963, 990525261, 165129978, 129342904, 435802014, 908584743, 31229286, 33333853, 659522029, 948967107, 926033323, 356766237, 681467201, 672673775, 194542944, 9624188, 554499206, 683909176, 658915424, 330252267, 672478137, 945779009, 993872159, 721577635, 676148650, 552185018, 918372895, 140628262, 727753714, 46780573, 663134934, 601998410, 741297441, 79385187, 257136217, 247488653, 14425974, 986149050, 932169123, 976451676, 215650991, 280702372, 778357313, 973218874, 70145232, 591122301, 106638860, 82259984, 630943819, 308341727, 658687739, 67419299, 340396609, 326371351, 894640391, 904804662, 944888383, 407138456, 224174219, 782447273, 975533514, 808076619, 333414274, 621647827, 960023131, 806741528, 198514958, 482309024, 831122759, 779010018, 214320713, 502431488, 393805221, 862240704, 802495452, 231605508, 652450847, 69475894, 66104521, 374395856, 378890881, 592964851, 148855116, 214377296, 93311165, 710487487, 958673078, 164315687, 873975138, 162089425, 466077831, 894907222, 244817896, 453436180, 785586484, 808555297, 368831538, 46404247, 966605528, 198230080, 87039385, 919810160, 199566146, 583003047, 505762735, 940318827, 387384971, 531240650, 163464159, 673613533, 206305521, 116821597, 425084142, 636437447, 325260380, 92478291, 466428575, 331684460, 511303054, 83371744, 945411808, 451863638, 998399487, 549042416, 195588184, 41048384, 324678709, 218925207, 578132615, 474512881, 888131715, 609629634, 315967544, 524785860, 405721454, 361433872, 453017770, 892259124, 567026430, 713985013, 819121313, 422010737, 765491505, 504281676, 702381649, 283027779, 577050682, 372692946, 185180195, 517515333, 130614056, 225476154, 544197050, 700962027, 387277058, 382713705, 897324537, 503164822, 444887701, 182420609, 873744283, 142151601, 284062282, 961518134, 316391925, 664035305, 611570173, 24232991, 471119, 323356678, 43330530, 13872733, 604098192, 588688422, 477815164, 28066396, 551944250, 460373571, 96655403, 519957638, 815269331, 416066431, 430559538, 315149778, 548579026, 144990926, 469697664, 276807062, 830591963, 951764295, 181848880, 936068345, 572837639, 922297302, 609309316, 330946439, 508778308, 138257464, 421918210, 465536165, 371395717, 879111175, 570454301, 830387367, 926260287, 24090362, 960884016, 260751119, 996609075, 111744778, 128011844, 523180531, 192744573, 804516130, 647879744, 223890485, 359009507, 567955455, 574421554, 518996687, 326162726, 871568286, 418548285, 112048199, 890909087, 311404778, 568729494, 421224695, 350162901, 530242863, 747467203, 381611934, 211446083, 883811171, 341527122, 412057865, 811642307, 185679076, 693170600, 788624238, 324099109, 714729921, 31356006, 72118479, 491162410, 901593054, 803110250, 729605150, 855521063, 268775178, 419314366, 753323676, 310695325, 14882242, 584744584, 760135015, 46726244, 913262988, 892162333, 215206709, 809773945, 250669583, 777730266, 19450704, 702498879, 964618982, 267313963, 609535043, 558209734, 495170008, 68248695, 177889478, 146557513, 247721302, 701384298, 961420809, 734219767, 207894810, 293042802, 293754022, 161043132, 33836350, 112703232, 308818022, 917612884, 904664444, 764605481, 721832183, 343251085, 535612219, 879224758, 691905948, 773951553, 133690810, 593984604, 683971398, 689706459, 811968322, 418017082, 912737146, 205916616, 620772420, 973120125, 165572580, 874491045, 377610832, 987486511, 137290989, 390283999, 826562467, 502995563, 783002407, 570344785, 943064667, 970189318, 846452798, 910267561, 606471603, 680750341, 13209701, 468553463, 278295269, 586389010, 215888907, 515018790, 290759640, 393043623, 904615213, 399187537, 483720295, 155353426, 480587699, 251176122, 878655491, 945782190, 196430423, 997750136, 737070689, 654911200, 900154099, 653028623, 519477937, 744073449, 48870015, 200239316, 862792603, 852827755, 764608931, 631529838, 68492396, 820545240, 15322234, 923996892, 710514931, 454075106, 307582112, 5596337, 213142075, 783881400, 503204458, 863642973, 622375992, 778393993, 967651055, 472266469, 12492125, 895669047, 576735023, 822130813, 135054580, 986196429, 167304411, 572081855, 312889093, 133434946, 484136785, 27619672, 824559119, 569931161, 364774245, 144501670, 462692314, 852202576, 879708780, 178015665, 165811852, 257595208, 384360173, 583044569, 328069145, 127484629, 36017441, 166951728, 201443580, 374458905, 214316611, 837862950, 330948504, 928369647, 639204931, 960058276, 292730470, 345248316, 650427571, 163294601, 641836373, 743064912, 794775263, 324321877, 293118790, 485852066, 647219404, 290640014, 339336921, 128921383, 172558961, 251488718, 26134814, 518135827, 817519804, 965718961, 998183557, 14356515, 309847210, 800796571, 698024049, 433423728, 624395971, 706256749, 216670216, 531234307, 906399856, 499959003, 327123064, 605677605, 365936149, 23417693, 799846383, 269136168, 281086763, 978885725, 545643835, 744612804, 461852542, 270463078, 646302576, 522422656, 154464799, 767445782, 792690212, 68531666, 727570090, 72525894, 996396683, 531010544, 42382280, 748769835, 624205808, 917361334, 236588044, 683084372, 889299825, 739741424, 386436941, 161695028, 337328517, 732263393, 555123611, 13607752, 721847151, 688945925, 216078132, 787473780, 216773720, 389278179, 210405803, 115155670, 575011183, 142497196, 934190229, 873078055, 893489232, 841062861, 372625759, 524356234, 705734718, 456517066, 113604423, 682896572, 382894982, 292023447, 150781316, 653322739, 377341932, 736185517, 593162607, 982179695, 18344146, 215489687, 720125294, 292238403, 637434014, 826539540, 34389162, 867023883, 340526526, 182197168, 652306162, 754353476, 783716047, 706451325, 565701736, 918716329, 55128814, 606803527, 281611323, 699214000, 544949215, 398639786, 268919645, 146984344, 985558486, 651820584, 40965084, 211572085, 405641597, 886035512, 379642306, 987968472, 571318584, 388854058, 679511123, 178404902, 619666669, 37325691, 126439140, 718961704, 105767623, 132055858, 451792081, 839424105, 922053245, 337398532, 337602664, 821637002, 590990074, 439307823, 274112008, 822812816, 537355043, 853428308, 212266193, 677332430, 715807269, 543367766, 753088099, 626618211, 88080978, 274815962, 728566522, 452748624, 814108626, 572062352, 387846671, 587890075, 21902248, 324882097, 385259863, 642963956, 115903935, 811531629, 791276173, 491769116, 86655851, 978170677, 727392696, 976548235, 233236675, 470161347, 756371738, 964215940, 289517144, 903187947, 132052521, 926446996, 471022374, 524184036, 939485998, 19313477, 272591455, 152879235, 284778297, 155648411, 926752440, 937497612, 598055938, 436823197, 140856734, 826702154, 695789314, 211755308, 772041401, 815275856, 898885101, 939092236, 332085738, 414887140, 165913449, 90159444, 387258040, 362208994, 593838498, 496214776, 285234523, 456871368, 573753097, 332272601, 80952038, 188700799, 814309681, 315361587, 631246765, 906865090, 69234278, 56872263, 786848192, 180121065, 353959013, 76342305, 482159028, 516729698, 768235688, 644318208, 528299940, 381880859, 979832443, 204472572, 573131302, 527913439, 847382839, 228761510, 904580691, 109070876, 248715477, 490821722, 247750636, 692003504, 955294532, 733363377, 906421302, 38216708, 498213846, 99737571, 659819621, 971345624, 196392115, 399381532, 405223146, 570308177, 109505366, 157974544, 143941350, 975962499, 733358050, 36353563, 806084118, 902134268, 71425854, 693379929, 757086353, 190549254, 370389201, 107304604, 330192799, 638892369, 409005196, 744363224, 144260281, 258534409, 390744484, 424573251, 671394479, 376480140, 92042280, 299414306, 996034076, 802706701, 42715847, 215367075, 152272317, 976000108, 821481350, 185817634, 749930474, 270696197, 893600017, 702639588, 189856356, 474844682, 32178996, 174950456, 388112219, 97745755, 237879854, 591557837, 540827254, 957274883, 469264349, 886899378, 74115552, 598446033, 109167706, 281288734, 910191665, 415021408, 474028449, 826192411, 509799476, 573127606, 629050467, 434243062, 948834658, 260496179, 93422098, 124933035, 380999408, 814003347, 369674530, 379570541, 70533413, 622860057, 91399722, 708878091, 63259494, 306118696, 626124869, 903483281, 243370302, 994326739, 251195719, 716840980, 616400017, 560936446, 711091045, 569272026, 169433628, 422681260, 263619108, 630679479, 129059004, 697412708, 527092326, 852194680, 391348102, 245425768, 471988384, 395853239, 109281366, 334785503, 521080953, 479227667, 962776910, 996886447, 421385359, 284619225, 592796161, 745179158, 682783888, 794444690, 405677095, 339542147, 519373187, 251376371, 784433220, 295839397, 204806433, 326771075, 464110799, 422944048, 283239975, 133916479, 705063525, 512000782, 801158220, 816118285, 176581266, 122711343, 18130617, 287891526, 217359446, 283972099, 389752158, 117874017, 539329450, 778361467, 869321699, 146584112, 546542016, 305073073, 414187408, 302664058, 441836153, 536586834, 132806967, 820063234, 309521382, 245241901, 233962008, 349444664, 926858280, 674414320, 104286806, 899291098, 404954414, 19417076, 558968023, 168396078, 388843788, 725817073, 914761260, 473797995, 259439033, 710617135, 7084936, 178227413, 738188531, 238820096, 663307924, 925433927, 917312186, 39255082, 538164176, 746778665, 14316368, 534052356, 397086481, 888821955, 425303363, 901384613, 607028982, 645968304, 402958865, 80572801, 599903073, 841514658, 136866129, 594463733, 85075122, 416863014, 772599426, 62923435, 906002409, 201984976, 864338241, 454813084, 329492663, 951638941, 673229563, 153318228, 174861084, 298896244, 960886050, 639735168, 191284060, 491443708, 622333898, 850398306, 671712832, 856908547, 445179879, 991510500, 248066076, 698256833, 62659631, 636809808, 764247046, 938491880, 367135949, 940835581, 23487449, 600406769, 989542858, 438930091, 564234871, 138769209, 303013160, 150244534, 624820812, 425468411, 332440299, 771320989, 167777080, 670434366, 249064387, 950732628, 23839470, 12997652, 613734055, 750054601, 433425470, 987390811, 436147491, 391261859, 557911767, 414728463, 307268554, 546634716, 284628887, 515118129, 953847703, 752229596, 246319253, 906938658, 745135572, 936312292, 628634676, 665921289, 470508413, 364075993, 601399541, 570681563, 155779289, 253912219, 474162457, 149885586, 720679008, 232892856, 414481343, 423534185, 543753500, 426480489, 35246575, 809666912, 618672381, 798450695, 709187178, 615508162, 451099096, 659377516, 79248, 357633383, 505025016, 349900850, 15050757, 632610527, 488339714, 942263030, 884711838, 518116521, 116397517, 741026266, 416080162, 635917488, 555425648, 939975010, 567525376, 135872304, 995228884, 311730060, 660459726, 631117779, 720635282, 735076865, 628303013, 57821815, 281044590, 257062522, 328138316, 406968033, 177955781, 620646295, 411472475, 454647271, 61035658, 5764322, 506736101, 14921371, 738388271, 259702369, 771727834, 357032607, 296974274, 63556331, 276675891, 754891663, 36048852, 315827234, 49993405, 83894124, 208523947, 364516740, 793602084, 842626151, 7598586, 487329444, 32320528, 645361525, 588540401, 666522557, 307519701, 843041595, 310550237, 491741720, 693358882, 516294829, 961665733, 660674910, 730413262, 712822257, 623310143, 43927952, 94109738, 302714480, 642367456, 193460661, 846245654, 405174208, 233328175, 311344327, 966694206, 249784046, 48449034, 650156331, 715554637, 216784608, 539419156, 783107307, 797295186, 739932289, 581497356, 764422806, 140736626, 78161229, 772617845, 506100042, 993938987, 16367065, 69882797, 771747432, 243833454, 288170026, 355857926, 176656157, 330647978, 40613111, 268623801, 61783000, 35623974, 928971418, 492220319, 476730235, 306825090, 144436171, 125553758, 24846881, 798006269, 570582373, 305161973, 493571515, 6815311, 919835645, 392154460, 83127345, 452154469, 118326288, 355036093, 778480914, 712439676, 666022133, 574258207, 934261615, 654581884, 996685295, 439938167, 972137886, 261311048, 856880013, 136375422, 18564928, 707079416, 408607465, 245511502, 414777908, 63803665, 526836738, 768912071, 151544407, 453757663, 970690088, 164449918, 567006218, 467935317, 777290758, 989656919, 6859546, 870105898, 702894545, 911528517, 653012009, 428165313, 468895676, 339637487, 21174704, 451752439, 453213689, 607018573, 541340975, 635875033, 104248001, 88385613, 409142001, 819232821, 219602573, 70109749, 164259132, 164713803, 980755094, 909672094, 957519393, 726931126, 229171174, 90708937, 903123305, 757187051, 919868359, 43279400, 720906524, 744637698, 818656578, 859315224, 633687375, 109228342, 105700069, 516322475, 840278932, 106272498, 384202827, 499634737, 193903156, 264682628, 829500713, 704120328, 889534734, 31633744, 147001, 3613636, 757555952, 125610124, 446253588, 405591068, 877984385, 376389163, 356828715, 790843312, 98335705, 919276204, 316050088, 422947613, 25635871, 984962279, 873022511, 668642329, 141453264, 6427320, 130475015, 98895971, 473660619, 405686161, 308262218, 173580532, 183121236, 678389237, 104858247, 583346471, 235860839, 686554092, 996439834, 525513925, 125120308, 745034697, 766095867, 770111731, 612706082, 120912206, 794654493, 490777884, 189782375, 66897223, 753365462, 198873575, 441018870, 387534247, 74261217, 614464818, 216973462, 478892645, 994393053, 944660058, 869496825, 825839658, 756357267, 548636811, 683490031, 436104422, 532800641, 298776979, 124837160, 623671420, 43929620, 844267273, 731416451, 359240453, 46117276, 724272180, 430765440, 214085573, 944825456, 383739673, 28821023, 810412219, 244137103, 574316374, 350128243, 29819005, 1247382, 480100773, 585116290, 346525623, 827013555, 360392949, 519512743, 330887732, 810898473, 523572150, 547928, 588582976, 888924043, 764065696, 267181970, 526153729, 742645527, 634671306, 57484132, 309239056, 643410636, 968755390, 373800891, 139760158, 639211474, 134568256, 609020178, 53806559, 489921080, 385717334, 11888830, 571233149, 34421204, 650092640, 188959285, 769618321, 990504664, 239825576, 537407436, 386564863, 676356745, 382202690, 912242078, 917535431, 106130333, 98931852, 269267361, 908076481, 820230442, 974041080, 73765229, 290268938, 160685959, 829762445, 239779924, 179218227, 421902006, 967773668, 672588862, 651168274, 221282374, 191845020, 74463284, 364847720, 11165345, 488895678, 403061986, 114570990, 164172591, 279512070, 951120940, 45030147, 147891004, 772106675, 104435975, 925698914, 89316600, 463003002, 201123470, 327497383, 871382888, 416327261, 116346868, 775086676, 748588738, 739153286, 717994008, 382064649, 598363976, 953798233, 927577353, 428482038, 64025497, 509169964, 60992949, 741366738, 11378006, 214844771, 957866360, 892435834, 742909330, 615970603, 852261118, 617821276, 886888993, 471216066, 405929988, 336322714, 329922405, 800469233, 761235371, 833049314, 115262210, 123644589, 915395421, 541643682, 605207285, 298101848, 440957879, 396586454, 402887104, 627031051, 388332881, 423286131, 259449613, 990409043, 75115104, 483868661, 655781090, 270078343, 451589071, 462549279, 340138595, 453779779, 824944115, 596890183, 243096088, 317857852, 466258276, 16282839, 277496751, 695283119, 589664125, 311711332, 101906354, 890193861, 163383380, 512793151, 643426797, 990668911, 604057265, 629125267, 8580700, 704620611, 696964885, 94180246, 425668004, 138920216, 852094782, 293374185, 378586328, 127469487, 831811545, 169217472, 735544343, 532482335, 498764771, 276211799, 213007705, 496968977, 689818517, 778803907, 178431274, 738295583, 464340094, 718663323, 422492698, 389310969, 918929642, 722009647, 59182085, 418017568, 109340327, 856841760, 850587639, 949571415, 244300495, 245178093, 38289473, 228262803, 937240885, 473098785, 96071831, 376858066, 821559427, 869634256, 553242521, 519814707, 824502550, 721067062, 632446168, 558268745, 521512122, 83398317, 728405015, 608589457, 365577397, 224671332, 413765572, 784452033, 410078097, 841983806, 921970714, 42491125, 962122806, 537711565, 906419655, 269097230, 229317919, 11538729, 439973640, 401921723, 108711208, 371142119, 2950040, 872711588, 881211198, 166168321, 596705875, 108403477, 777876158, 537922528, 185724930, 169930979, 899204935, 210558880, 853695579, 422274098, 19502218, 626764987, 283031632, 402480908, 5945353, 697148970, 626382453, 995860583, 253422437, 693646497, 56924554, 155815891, 648153744, 432522145, 285778297, 996243823, 468033302, 956871303, 505626543, 683894106, 659210468, 112182275, 199112104, 541724077, 394915390, 414590931, 723611053, 499746697, 87014069, 824516968, 422188341, 607680381, 718257322, 576880232, 893027349, 845147616, 802854849, 342293678, 216211899, 287224389, 551498934, 694379854, 422363200, 827900652, 277045077, 388433168, 588472285, 35412051, 244942820, 232908024, 64584580, 521934630, 161884804, 165636607, 935511943, 263523285, 954899866, 438024795, 258145217, 561217657, 9828643, 917964613, 370395035, 92799513, 327589282, 224763719, 765420940, 847323269, 631741480, 665925631, 676787554, 47756535, 121492640, 733499604, 837360405, 335908410, 425127499, 235223767, 307068766, 732269678, 241983531, 37409213, 636886401, 84868446, 491977033, 747353147, 851030172, 31197388, 794614089, 200340826, 170217959, 419491768, 317276899, 435292911, 866479811, 966005642, 724790804, 797426833, 173486727, 864520498, 83963930, 111936333, 822162998, 868082553, 137684647, 236953631, 422300877, 910184632, 830066395, 484330084, 17019027, 729135048, 367810545, 554732222, 847936155, 181545846, 723940824, 298734643, 652615663, 857262625, 179926747, 875295157, 626431222, 787753340, 198403317, 262603508, 175412269, 670974983, 802843748, 688775850, 986184252, 278469555, 215126598, 820879922, 631985141, 96726712, 648145206, 387856461, 992672997, 210522201, 483157765, 854507005, 244423782, 801257671, 131532142, 363275089, 671413346, 830937328, 298261486, 87076064, 436117649, 129154018, 988028285, 343877808, 212101321, 547147503, 677728016, 319132211, 963561280, 429239018, 303935822, 696479051, 677736921, 842066161, 885567238, 412058871, 457880824, 582588751, 35933892, 949681221, 236945432, 943828250, 232444214, 547308253, 413934646, 216911206, 558075217, 543134619, 87028197, 539327735, 27338235, 449216211, 682824069, 854522260, 717380673, 280847898, 177888575, 114874327, 277421803, 643594566, 798751711, 963834246, 326979114, 603670382, 531378152, 981683582, 204984763, 13970901, 628811380, 164796945, 54554069, 65073262, 136520837, 428052725, 511459814, 356136618, 745053213, 709173298, 264039741, 510766781, 606215677, 520533550, 76743238, 166579966, 487725766, 928552155, 87529586, 311859760, 558917895, 230711254, 36550719, 640999896, 285558569, 840326500, 517270150, 396066180, 322465547, 252905598, 355849815, 851702703, 50976361, 564838014, 942207272, 160875813, 998703101, 281997827, 577577387, 503148725, 657508089, 385454933, 208364306, 60373569, 444345040, 376801009, 585018797, 838499672, 946754821, 848061731, 862272402, 970976423, 805890237, 432892233, 398899534, 907524212, 605172923, 696937463, 41788588, 569359768, 215127958, 533737466, 41540744, 622828173, 787255368, 265126446, 627450741, 384706228, 701598137, 329574379, 329151069, 576457410, 640527768, 830515456, 171092532, 756695825, 329828566, 23330086, 96741552, 782215636, 843716037, 32641110, 479858768, 877488614, 48150069, 955749282, 883124289, 55233878, 432452327, 759484333, 273701839, 543734510, 233350965, 542549000, 424923966, 243176247, 826369938, 800792698, 618942576, 591465454, 112536449, 38557628, 285545314, 613043048, 768248588, 519903289, 714149440, 901390312, 143990411, 549738230, 571012180, 728537998, 818121334, 778021790, 929293067, 325497046, 183071648, 774868843, 806024324, 380139097, 662982241, 925559900, 93887167, 497506449, 928301316, 324935544, 934475728, 635717243, 267358801, 772916716, 912099582, 626664081, 293514463, 142394504, 239955020, 73876330, 268318244, 742536399, 343627203, 625562045, 520136605, 675500647, 699014133, 614554433, 543247733, 368257502, 40773663, 765466051, 143238693, 327947127, 895933866, 433567756, 502503525, 985065836, 717506007, 337084464, 36076345, 573552261, 511498855, 415192237, 629748233, 652988202, 457527023, 112122047, 611780034, 295921976, 464607458, 281460681, 647364220, 734589224, 571238698, 684208564, 483563203, 851730560, 353364490, 940497658, 438942336, 365068187, 454406352, 882350856, 256389563, 889043471, 31779796, 317591692, 320385083, 533420612, 890180282, 828776415, 386337541, 574170123, 52547847, 605282184, 764525176, 3630144, 362136598, 99521170, 424968696, 355891747, 986314010, 776123362, 304024196, 889476703, 692710673, 247263792, 142774345, 931230718, 794778245, 639066407, 536981755, 958692076, 881313105, 926996960, 957054294, 269856518, 53577170, 92173210, 831791542, 367249742, 702317587, 8792379, 678240730, 778915393, 250862351, 67397385, 52065119, 575918572, 31505292, 686498791, 431053355, 159746074, 54402796, 377498506, 468756710, 941291373, 433173284, 875882057, 641197579, 16532868, 782732012, 420584626, 517509015, 364255107, 814471347, 316816485, 342953836, 304759290, 443566531, 934134786, 607674469, 548805002, 706162376, 278975853, 505940218, 19264182, 188620742, 348041282, 110451455, 579488211, 634652404, 441609621, 477117410, 12736796, 332897245, 116186313, 296480505, 134649064, 279167017, 922271527, 297871875, 237941574, 724770081, 535896969, 610040044, 785294497, 907978587, 883662490, 379714479, 41334267, 371326988, 282806880, 472850964, 234929073, 817761359, 505554347, 295630288, 519742665, 54418313, 482735909, 955744555, 385903085, 460772580, 440968937, 476077716, 115016417, 618260042, 203229340, 435901032, 713286623, 352334210, 626303116, 418038318, 983942275, 695435805, 167124811, 578776395, 540625019, 494524924, 720313280, 533887797, 105677935, 182362905, 100623744, 550053421, 427605100, 740269460, 437096232, 704560404, 775642308, 463038713, 666291618, 296070278, 1998823, 205330442, 912393155, 700574385, 485830848, 754983092, 382363159, 758090400, 594782906, 2400, 734396168, 106561398, 81735870, 707322883, 240481096, 704943783, 967209806, 871379207, 508763415, 68087488, 349422153, 98643097, 862538376, 312168966, 256791805, 963837355, 17037396, 171459683, 783635248, 855373252, 638965653, 946091300, 313973786, 637338870, 177405772, 852821754, 907254182, 586412178, 987141284, 67768549, 601906070, 62930873, 138454949, 838538302, 926639582, 173446360, 740972611, 907287040, 381423274, 339668858, 647764921, 306100972, 780132831, 108093818, 981761565, 478074047, 360519309, 361416114, 722219204, 374997416, 79665698, 587717734, 732391191, 245615818, 668018755, 514524258, 739690989, 342931827, 452144628, 159927635, 75728531, 299973023, 851968370, 942808525, 868441139, 112658005, 696722083, 723118459, 536276052, 62709575, 188126390, 762321328, 689670336, 510313914, 337906022, 993886920, 715281316, 485744830, 434674406, 373091905, 576771310, 549561633, 718888695, 333632198, 354860968, 313483883, 51039555, 936591776, 221358034, 581074656, 560475355, 78464943, 605233853, 952973879, 590349733, 304797067, 635244884, 714614303, 819591991, 634900773, 730314240, 570864691, 156049065, 787614114, 985513191, 490065807, 570231908, 170712750, 960987805, 874947941, 325346436, 96013401, 838393705, 734030921, 873466204, 368089626, 725146983, 770851292, 892496805, 311531581, 772137092, 408205350, 516525615, 682071490, 476207080, 373611228, 56873579, 590740289, 305557645, 38096685, 894523011, 366354894, 955532963, 746302482, 162421028, 184679217, 905635963, 435298253, 353972262, 768130079, 828354015, 182309654, 781760719, 815887529, 503732439, 301084181, 856580199, 818546494, 48288079, 869117463, 899540368, 698183377, 159564613, 981837679, 249425151, 352870487, 259413306, 932504656, 321200320, 895206842, 344759681, 747668406, 840099286, 874748104, 24845897, 453452469, 452878396, 611262290, 377155372, 763821111, 893602406, 74505220, 536280576, 910208373, 831102525, 753808264, 490264059, 692415496, 297973104, 600542591, 737519575, 499459297, 845928912, 290571871, 364950389, 999258546, 678958160, 213874001, 536475497, 516337662, 916622187, 193611046, 536555861, 189567238, 356137830, 477801936, 325730482, 831732431, 504124819, 434469606, 819270302, 82792672, 986095289, 31179231, 719708638, 639259941, 484743372, 782550562, 257846996, 620010177, 963544743, 958178199, 854131531, 740300523, 680639410, 202587736, 857331742, 250502354, 666693604, 962581248, 365808962, 470250354, 295209374, 58172439, 83080368, 87419188, 918757592, 379702314, 521079865, 560419727, 123571638, 691791570, 544517212, 335545328, 984805079, 860619459, 511915035, 343745683, 106901876, 28235080, 77736456, 38549619, 794615865, 630279760, 941977268, 399156559, 852340710, 663082038, 282274562, 897522009, 996408528, 486744544, 782421529, 452337056, 376100059, 957296259, 254593990, 561507941, 929396192, 332493579, 37259616, 301834014, 912928942, 938017399, 730241559, 548385029, 159110245, 365303197, 368919374, 110640567, 945154918, 470756698, 264331902, 62402622, 602911464, 426094172, 74517531, 429858243, 106009494, 417719734, 396864756, 750133641, 227392752, 809615351, 139964303, 573553087, 254639332, 479442429, 191814594, 496786601, 51342363, 822727429, 541218951, 258812113, 79128776, 553349917, 289590040, 12134915, 892068134, 482705207, 713597568, 446098888, 813159363, 593610974, 654822188, 675278887, 922213531, 194279345, 346941059, 431269477, 356706824, 708378429, 755758254, 257024443, 182566019, 223768824, 505073625, 98347382, 231339780, 451355588, 448905354, 294487207, 685618238, 66879130, 642466043, 133029468, 138574402, 736404368, 91659212, 609082023, 166987445, 751396219, 83747562, 726893953, 163299920, 664279075, 188564449, 220117644, 660684605, 705970855, 880317924, 570615653, 203953362, 196697011, 414028396, 108835889, 463285401, 158642406, 594380349, 408097794, 445940066, 266604838, 310508879, 414164911, 182505603, 879790776, 592490523, 280762853, 25307171, 11001480, 996061048, 135432241, 504743734, 510070432, 11143284, 163069966, 749287096, 901333153, 406267644, 791040263, 188065359, 325571828, 18088581, 868045035, 994298635, 317565969, 438082862, 722820370, 848977568, 351045004, 370248629, 953284317, 485590176, 692303493, 427588136, 744784234, 332666262, 278260618, 632515269, 72076721, 496421078, 485353494, 421662942, 211776754, 264712080, 907155112, 302746221, 853449186, 858566292, 821429113, 803608354, 660820423, 516803806, 276442489, 640468839, 459601393, 856696110, 455554035, 33119006, 726284324, 168213512, 519652230, 534850227, 389335441, 446608162, 391490323, 159317945, 60782794, 438039220, 553854984, 883591721, 656135897, 609483306, 935026941, 86746090, 678015254, 668805524, 621182102, 473012268, 502347463, 836320461, 936593136, 318404369, 840436426, 949592876, 908677687, 789645841, 933504882, 891668291, 914257896, 419836839, 403660560, 908515367, 677807119, 300044940, 45674675, 481004223, 740093695, 724850796, 419551386, 988369414, 769274579, 783666462, 467738968, 661464707, 861228843, 225945057, 549723815, 554144721, 700234174, 906587244, 19555392, 4091284, 808843070, 625192648, 405980304, 645708980, 950300865, 274658847, 277242785, 549330566, 823055685, 168126397, 546277034, 820591112, 745350055, 800765793, 994411156, 854382110, 969141348, 522805235, 661862664, 762305574, 100096985, 780429579, 106787438, 75672397, 4922656, 488533499, 669074579, 950669063, 97474279, 962985696, 216554541, 240482684, 628178300, 16384888, 153916785, 832409450, 645773689, 949552734, 410243892, 505114248, 200527771, 550352760, 358786881, 445830793, 624316549, 4102484, 177647438, 300361074, 231497652, 518791284, 1059777, 100401186, 680627689, 955715215, 106285706, 486510259, 12313282, 771336194, 665410402, 742755876, 525346292, 503311794, 145915120, 773639198, 27327732, 377623055, 238688707, 942579326, 732694492, 106720504, 430681223, 288291772, 901024778, 123175420, 535053947, 559726198, 206414933, 194668042, 772137016, 410732194, 826821450, 685843970, 114942212, 69962990, 205674373, 235231960, 139388791, 117352135, 168335781, 934452054, 865934194, 456527126, 713588198, 375433765, 364461240, 606610583, 335367086, 548848776, 807061050, 10302700, 354144889, 973684715, 689319525, 492181507, 86966933, 172130427, 810943293, 877210100, 650397778, 672622227, 707854024, 289912198, 603793423, 287458890, 619210569, 634345013, 367856269, 647554481, 652329613, 622666810, 488939986, 460433625, 195298772, 686055182, 511699556, 208560208, 904188770, 799727412, 651031902, 899880252, 697676842, 199027563, 21930259, 468751952, 677066768, 565335049, 460238949, 556648478, 960763130, 261595819, 9408120, 863726557, 941007143, 700330008, 131098054, 186697235, 270771256, 157596131, 654051695, 543068508, 181661699, 212999220, 14167148, 439423841, 529578556, 166839019, 132690019, 869644190, 722597467, 324897074, 394028197, 891210048, 919749542, 518973184, 130020002, 676971481, 22146411, 957946270, 646028030, 335596710, 124204454, 589489945, 802576696, 737659112, 527099713, 967613708, 780060223, 20063471, 217684253, 83263071, 892651926, 251517939, 383097403, 234624532, 519703983, 541773256, 263889627, 159202964, 527379814, 845407348, 986407067, 398085103, 302941472, 272857088, 735753314, 676345405, 801040575, 435957093, 322264901, 905310981, 651225061, 698025496, 687086033, 105946191, 807727501, 195579478, 461091366, 841003811, 849463882, 721746446, 824935868, 737137468, 67138342, 910670851, 211617308, 630312644, 892671426, 18464686, 524501938, 493290030, 256712016, 38388004, 337552356, 16135259, 610559453, 174538124, 351494227, 447340423, 370419722, 678644862, 614839286, 694690771, 787841178, 830795979, 78747111, 628145648, 366446835, 924023464, 281506365, 739008953, 947583061, 425974538, 158340465, 562979652, 398444334, 975572169, 442027230, 744951339, 783495652, 853018042, 96866257, 391809454, 411839547, 444665939, 733183907, 301338715, 5029412, 334266496, 785746950, 312127081, 93398445, 316789837, 496591133, 9086123, 150259716, 832818610, 391842061, 851504145, 601825447, 581542987, 736787591, 395938862, 588774663, 108995832, 897943190, 266501624, 936822326, 566287709, 196108121, 426700437, 379147563, 507378396, 104889000, 12551617, 389744695, 636360398, 70045406, 548142234, 359005953, 890152810, 262989352, 265022744, 274319387, 234496278, 943658006, 2587636, 679243412, 657940092, 486116036, 922557628, 833799770, 286914012, 896881636, 753909027, 2254299, 244480533, 993412922, 59196745, 190630391, 340634992, 913204583, 890480690, 388242314, 164689025, 468002245, 420851326, 466579486, 271029505, 494940426, 716449541, 548402829, 117632462, 985902010, 965613430, 518228321, 167535795, 151054354, 868707389, 46511877, 324993432, 786665482, 604039934, 714266563, 934808399, 408644269, 351233519, 642344362, 136642676, 677525207, 569720540, 553168968, 500186347, 79021263, 710470592, 327179434, 457938337, 513883621, 399299355, 111337486, 308537759, 443479964, 474689095, 463536323, 742862710, 88251128, 323884749, 474309049, 454529429, 931492544, 271528801, 814603601, 244937907, 19966316, 203838551, 233959837, 864241217, 370632105, 120683822, 297071752, 773269445, 932339420, 760709552, 387091632, 336727735, 363172498, 198312630, 492980219, 66825899, 131117604, 588619912, 164665876, 128657716, 336161256, 4099010, 599260226, 111805634, 843940110, 882420536, 684513140, 458788778, 621791869, 317476546, 601123373, 361414164, 510551376, 796075541, 62962582, 270077516, 674878218, 597759612, 312095666, 1798450, 890564183, 676590467, 343898546, 183824824, 922215761, 98785592, 907039888, 125082584, 72796322, 106213319, 73115388, 604249635, 680621824, 508283677, 131616563, 249837753, 292671378, 448527865, 323992237, 109180664, 709686516, 603300943, 574437254, 182938907, 919180455, 234397702, 421744475, 928683912, 419340127, 603003913, 502431677, 837814895, 308815549, 291117792, 817771292, 240007556, 287161097, 322527208, 200056716, 696263764, 376095653, 640335140, 397850999, 198263966, 674886770, 176181272, 711318925, 842375981, 954327838, 831482095, 887230910, 669939979, 108042495, 291625032, 405051284, 527388577, 265332754, 748901666, 159586651, 853169860, 926083764, 32661925, 421172194, 692606544, 530126998, 63530847, 706320908, 798220839, 217520675, 115410594, 822714819, 625583370, 216648311, 36204645, 234736451, 394172261, 785887908, 524533068, 141261069, 792323480, 4810741, 5260454, 610353862, 284881864, 100790927, 187966162, 918356240, 737457825, 372059118, 355681836, 620876731, 485513108, 759626188, 346561701, 196179597, 459687547, 804192470, 700283288, 386896427, 852493382, 971247760, 93712327, 326371914, 181943962, 848151987, 735631029, 292883450, 465610209, 962816203, 148871769, 819490217, 223719093, 571620827, 468787516, 987794372, 152932960, 910401675, 2128721, 654511336, 6590456, 520449156, 522170508, 147351440, 800440838, 675153284, 838179460, 814662818, 201593052, 577928685, 958191817, 698708245, 251171124, 46587663, 557682161, 883162189, 235765990, 962930541, 651855759, 458034939, 901315154, 265378920, 169166438, 906390384, 104492235, 889438008, 622798221, 573298519, 15931116, 608200480, 41332652, 257668058, 742231946, 733318468, 588153740, 359536256, 657575116, 696263877, 868131117, 347954756, 934434339, 430863112, 777779281, 195028280, 270709338, 319783769, 414820149, 984200675, 815483880, 212063502, 516051807, 965279460, 796256100, 238031420, 168864638, 873243556, 780757481, 760614889, 852727598, 276995100, 298826244, 582882016, 929243153, 496579164, 323453621, 983512777, 240151539, 919042994, 955402911, 745873226, 476810409, 460692629, 678589281, 561259236, 409331699, 753418370, 7027069, 2521447, 663746358, 556304074, 186052160, 535411158, 888243793, 4796231, 697108387, 909806718, 404583696, 152640611, 295941568, 272558634, 383732769, 615432369, 768445776, 569529696, 775678423, 969910309, 762084380, 149737190, 904215290, 35631600, 883559439, 973951692, 473914567, 325335913, 522398499, 49990956, 86052225, 579173450, 756822646, 346991125, 105166241, 366408821, 7977517, 94441721, 598430316, 892187303, 952942551, 758306675, 77870063, 68531674, 39402636, 154589070, 987808262, 34652284, 832132374, 265687873, 203461439, 5859146, 135877875, 58631580, 607983736, 971018014, 395659302, 138667846, 589384747, 87898452, 175397189, 398195647, 953111305, 114206554, 435771449, 468690304, 151763901, 153616649, 905014534, 324793865, 362425786, 445613971, 70410014, 533298662, 943109753, 99138205, 969078676, 613807945, 277557133, 346881415, 574211405, 812665031, 922992149, 906115989, 323216288, 193753664, 21384932, 849289388, 699755921, 735532201, 388896843, 605613584, 312308535, 270343312, 276794372, 687643035, 282534390, 387204739, 610883960, 80478173, 952747027, 899712031, 779890597, 940416079, 212535364, 465993297, 903680919, 576559490, 638147975, 790504349, 282452462, 219330066, 921103998, 436618144, 114296442, 456956811, 939406174, 754842594, 199237860, 910179265, 139744129, 781058913, 242418094, 417040249, 85508845, 297222575, 297437000, 497358029, 902245823, 397571381, 249949442, 86576388, 319900308, 774288723, 215536319, 649942813, 147284848, 141973128, 70347551, 184610680, 879107166, 841509306, 379245195, 618988757, 786519206, 764524300, 557642989, 646329794, 162797993, 153970635, 351600767, 39151982, 959166309, 544997669, 525343157, 182832633, 791349426, 726935992, 500404979, 301575127, 133181533, 475324256, 468232788, 456613914, 724204716, 33078438, 65591547, 579336587, 472094108, 874268368, 851934712, 33240127, 317442702, 765782121, 177948233, 261486538, 17243785, 685311672, 939633051, 534693634, 653186798, 120692524, 828420921, 262199739, 873340154, 287538596, 608103264, 261199967, 68517277, 937809881, 964679506, 259547020, 647555171, 928179910, 860749598, 573358021, 19165987, 441877755, 471335590, 747043443, 583633086, 171373058, 177876824, 65176876, 470893928, 954755789, 373797503, 424547386, 825704496, 410473902, 526582920, 407697522, 313057827, 48347387, 263645164, 256371113, 498594085, 770834335, 851903661, 12478099, 34621115, 472068429, 811393747, 186188077, 684187001, 123458061, 753011463, 845880727, 243384848, 339893253, 135359570, 898261917, 606757967, 534312032, 655421703, 588121559, 252376669, 135702799, 616055349, 214209433, 386005360, 538316596, 711867737, 851969843, 349015218, 167913513, 402660772, 230529217, 64162697, 655668777, 230439025, 100666049, 117290718, 466381215, 502209634, 229316848, 159600772, 58689895, 38338912, 190672548, 25922211, 62149800, 103534088, 815504856, 756521567, 493170839, 116426480, 714649447, 310038768, 318233713, 740794430, 787335387, 967297275, 227455115, 569908549, 923328931, 965296675, 628250823, 604408897, 745605140, 772453297, 887709382, 995635157, 620066279, 6383577, 245084692, 740425194, 143630662, 82756495, 916150692, 401428665, 615943405, 898236333, 942831472, 952632898, 985543191, 377349815, 424683091, 52285380, 245405143, 387426423, 351886766, 546919369, 929561215, 750172521, 488855888, 266124591, 838382624, 446361468, 532704737, 300166008, 172673305, 933657307, 544069251, 913634158, 686747477, 836779972, 297714776, 460081981, 675709973, 343826625, 258995138, 658227604, 847822177, 551704214, 303005176, 232605682, 733324191, 815720146, 843664435, 810828951, 888913038, 434055248, 29580491, 626007723, 69144178, 744787989, 107298062, 569453107, 887998946, 675226463, 848515632, 284107131, 784261922, 151274111, 718440452, 877480239, 702665010, 278388597, 17309173, 239706976, 248769157, 731538403, 440455564, 918547691, 825607306, 854335978, 774116674, 788073273, 182336989, 710596200, 280423224, 606609550, 146913188, 28078818, 61875958, 663368652, 498535041, 194470828, 813559028, 12952251, 312097215, 657785688, 479925992, 755815940, 186799440, 442857583, 151830564, 144269796, 461577678, 351357144, 744335392, 110644308, 936642666, 289575684, 81572677, 562433223, 745079003, 404272999, 809419919, 382541601, 196123560, 812596841, 372083132, 657302321, 445738182, 153734021, 746772455, 659587727, 749557084, 777161862, 105653640, 559518307, 319802792, 992640264, 416040878, 276828213, 509882869, 96328018, 410195495, 499598670, 326556304, 618620226, 136907283, 527549521, 58151195, 98684956, 240333860, 983665222, 17480482, 280503589, 868221253, 256345009, 969202761, 312178542, 944089903, 964396389, 12299489, 469796288, 964297044, 157566903, 364015997, 319103717, 817892418, 579021930, 13677696, 81862186, 552268366, 145225733, 388095503, 835391628, 899739479, 319232009, 741650706, 259035996, 472983593, 651203832, 645633811, 193106569, 23591317, 148115254, 310279506, 513486516, 847450668, 45400720, 489956078, 527481763, 765286711, 464628520, 43814676, 245624788, 456723528, 709087979, 374794217, 933408756, 660895036, 927503873, 148415378, 194248852, 890876037, 695777143, 158301504, 755698743, 602362757, 677017704, 657889469, 534924368, 906157099, 382047775, 68279386, 76621292, 604910747, 283898328, 453566602, 443115388, 31641528, 725517746, 591864580, 90808422, 969026338, 190882515, 416617419, 157758160, 881928648, 629865722, 800165209, 511282808, 898696760, 578525058, 371514080, 49131097, 126668129, 186068404, 427736328, 785459346, 23767989, 669984880, 890020822, 402534919, 69056634, 848663083, 974292456, 622632991, 84774312, 330073660, 705731053, 659224886, 564812260, 649993895, 385054430, 639330675, 494642764, 763088190, 86778686, 840781219, 895158191, 412067119, 450850376, 47635117, 172333627, 91271992, 788572284, 302401653, 800347516, 794689606, 700740291, 852590826, 49249717, 818709665, 647090186, 75581632, 316979279, 836540000, 207412402, 341122333, 904925442, 17970509, 804488249, 181088845, 457398613, 641738096, 521076958, 399535905, 927038206, 531581514, 89755185, 568210035, 264083792, 438147707, 461067118, 155435223, 398745882, 428485169, 841376145, 888486503, 433938380, 479839583, 236777894, 889109990, 767959216, 276015167, 923418640, 951730010, 534519502, 699641113, 380516833, 199557862, 174042508, 492490188, 857719861, 652378172, 825825681, 177262010, 773390060, 859803241, 685291053, 94900922, 280171837, 697390878, 904267490, 405140498, 631378470, 735534598, 949785971, 120002797, 309548330, 392018343, 432632349, 803442113, 319940288, 171938115, 750132408, 395291572, 274433260, 950621238, 953601888, 316724827, 732615007, 709398114, 357961232, 226435930, 463719669, 119004500, 926046566, 375367143, 456280577, 897363230, 321707875, 362916142, 546932742, 800455892, 354747381, 507935717, 103050101, 506884744, 55819037, 572143961, 514826014, 735798258, 355822775, 621152637, 744207156, 325624090, 461341348, 449653283, 572669991, 67842315, 908180319, 640268618, 214377936, 345061032, 394355323, 363272056, 583544296, 628143121, 464769054, 922713954, 15093013, 221899731, 759359213, 661226419, 394837828, 462854204, 102577214, 952013726, 29268988, 559480792, 163067244, 799746170, 143043352, 456394057, 613172581, 390756588, 603039635, 516751536, 537510974, 694536720, 324874892, 947905364, 143363324, 517069727, 179807105, 172570294, 510718023, 743288959, 791826781, 841717186, 885627222, 423890772, 577575354, 544384027, 820901164, 740283059, 858971381, 792995135, 936553376, 851461564, 782293872, 693233446, 461509240, 187624377, 791137831, 784374961, 203830873, 492588654, 308808656, 381023831, 875252069, 66785800, 928896491, 946135909, 295777704, 303528680, 59465674, 499892963, 736343621, 720898217, 136177980, 191790815, 963639605, 612089790, 553735257, 652603572, 279565238, 284811676, 802051791, 331824789, 420300691, 385533274, 128219793, 475295901, 297534144, 535879851, 573286487, 742646615, 714183684, 146112243, 139400012, 746368583, 566102987, 553941001, 264149160, 125034729, 515789662, 542392160, 56327781, 305689939, 737888971, 58360682, 35891408, 891629542, 171201773, 956858784, 481267569, 141956424, 18176841, 62093440, 291526336, 389045064, 104831872, 386939601, 992118669, 411185546, 899820633, 505699349, 396925773, 227287069, 567729032, 994329549, 928702396, 819829153, 349309642, 890228519, 672642785, 872605296, 368046973, 154831670, 633639130, 217667319, 165428127, 741162097, 678142049, 27491680, 453055494, 170509226, 923958955, 319488734, 623224269, 92762864, 248798156, 967761957, 998710547, 777616116, 196065571, 145225836, 134357071, 461790303, 576095229, 358107149, 61235146, 716113754, 992352141, 313190476, 511924580, 937347609, 41375478, 51775066, 530073957, 955109316, 916994986, 260081676, 709431976, 697558728, 962020390, 996588840, 141125234, 60590577, 966654833, 155357884, 102697907, 112898930, 8750637, 614723779, 24143598, 47435647, 117695370, 765745083, 467003640, 557086033, 931497785, 547286816, 599040751, 543317106, 204924491, 851852724, 550990846, 177871652, 549411262, 674929463, 693983684, 55598775, 933420143, 904858686, 771046057, 251906115, 479599854, 244319877, 271827370, 457121060, 804648012, 898996298, 787583321, 350011602, 769830665, 507106790, 328268200, 9504213, 246428039, 579847696, 483007996, 772344185, 388853114, 746161209, 937911085, 215218066, 881279093, 68265430, 694006849, 40111062, 709556927, 500066158, 107015854, 569466694, 604127736, 390527271, 855376375, 355085380, 31751835, 782308835, 314041218, 907981606, 103624655, 987998306, 35968255, 930621935, 675955959, 859345023, 927278408, 953540104, 992801210, 182504195, 383725050, 276520873, 246966463, 391205972, 212005696, 690702135, 186650932, 630398988, 481863705, 820015855, 442326399, 785545883, 841273753, 92426057, 449643783, 189886063, 138153159, 396886018, 739599060, 641413452, 24476340, 922971701, 893629356, 985437278, 586641179, 509379420, 555732712, 505009851, 671905716, 556584290, 289599284, 139764999, 695277572, 503815554, 909325787, 621298816, 293512420, 248179018, 383133127, 968070236, 872969345, 817987845, 652179350, 378207171, 34177948, 70241621, 113916537, 478378153, 908929536, 10166896, 699797025, 147754948, 656537505, 579940131, 664465798, 996233037, 593335905, 918064827, 2065452, 646937142, 394751358, 119065882, 485852922, 242470264, 347962003, 17657596, 716927956, 81373929, 835611828, 630184962, 482982242, 973654650, 976377416, 326248504, 664195339, 44276393, 501270155, 187746381, 427395652, 366401777, 588381632, 56236201, 405081809, 78399728, 496785917, 284161896, 490287294, 502107933, 996130009, 947183803, 136146833, 723951808, 181920328, 360592448, 439901487, 742041754, 557296007, 847825951, 511586277, 823812031, 191815237, 727731252, 925854096, 413775230, 476750720, 366711887, 792758532, 816942176, 997322568, 145404730, 602647887, 182558738, 36807904, 872052864, 315192563, 392354005, 260542904, 580706386, 141973022, 511510520, 107304785, 400632580, 243670953, 326191509, 411945471, 675713528, 526957650, 149389086, 179364331, 647778848, 138600071, 249117340, 546864927, 979349945, 67808872, 547041736, 512150929, 147077767, 576105543, 645945672, 127974098, 681299234, 312340595, 697427740, 700601900, 657776191, 267335493, 918940571, 806243777, 703088867, 742171183, 8951367, 809116931, 667411335, 917100968, 378292853, 743198626, 83595656, 673674792, 416694515, 170769902, 741094564, 200654720, 968594408, 38946492, 383169515, 803482351, 548200916, 287857019, 371909539, 410762153, 668456788, 257618086, 83225437, 222298408, 643990538, 219077737, 303315224, 840702335, 85003284, 129613337, 378185304, 769344296, 506312307, 296624102, 343197132, 318442114, 571254354, 800861788, 109491652, 730343462, 123117716, 520521008, 621304375, 352658350, 659152786, 651140117, 510695816, 847572924, 506365788, 462408197, 458119812, 745994505, 468807045, 896804386, 141332484, 923660756, 808135126, 195159726, 668797625, 520779149, 129325566, 27095726, 939400343, 206158841, 535088594, 139027203, 863703791, 498885699, 976596021, 714896696, 819469678, 1279997, 90365482, 903798754, 700268470, 870267946, 855640216, 39457079, 795480236, 707019362, 108365705, 612370460, 439961296, 618625803, 785704098, 629524918, 358669986, 353321846, 527198276, 265881583, 386829745, 91537597, 426036189, 794311266, 452522100, 893410293, 646958029, 978910282, 875048570, 816664033, 547776577, 148831325, 545281705, 181893272, 588376625, 62593072, 888920566, 313325803, 78359331, 381464578, 224730194, 404361952, 975407616, 464857567, 915028074, 716394403, 409223194, 669537840, 518372565, 916535279, 170618544, 364985000, 180346444, 534089468, 188250689, 110435801, 76054691, 325076645, 224336409, 338296942, 952959759, 298918395, 112708497, 28485961, 392773777, 106271402, 484200090, 139616303, 868349938, 124123113, 413287692, 961573763, 911750608, 182365930, 611526846, 188589527, 477527507, 540301926, 133540213, 749299777, 894949049, 971258674, 761492664, 249214242, 885086884, 429147401, 737787165, 982556888, 863846614, 115721024, 938927586, 612661859, 17091504, 267060844, 778239705, 458136520, 883421189, 721172740, 615793083, 754098139, 383566737, 688881149, 259641751, 456252274, 413316161, 562039340, 562192441, 657022339, 825491338, 364605250, 248927821, 204332727, 21115867, 510692262, 547664591, 27368304, 626054110, 453477733, 965426413, 585572958, 894198098, 845202972, 57197158, 582307377, 829596124, 77481595, 214923002, 488494530, 31254777, 716749955, 663408918, 639832850, 45551037, 88577302, 960775348, 675777393, 257870671, 430844645, 86126314, 325639211, 595215303, 66682611, 323588591, 898159938, 729765373, 11361702, 857244969, 630428198, 344005864, 481615157, 658026623, 97544919, 40361661, 893515481, 766527939, 424658384, 932286115, 269103540, 333073589, 784319589, 398354827, 197302528, 494412144, 583078520, 480617409, 518234867, 177659258, 214449957, 20963735, 900367187, 600820470, 320312511, 495578462, 283645598, 508062608, 628218230, 37482362, 239572250, 512315321, 725284373, 329358694, 511101447, 17083723, 181215734, 430570474, 156212125, 567079692, 566874172, 123539018, 103484222, 828681010, 167409191, 121506138, 267206966, 856688470, 56361382, 722745969, 847272439, 437591959, 319565600, 392298627, 481204969, 666056962, 782720838, 537508427, 625053504, 820013911, 505950233, 402501589, 441291047, 156588594, 646148518, 597632784, 38704452, 882438880, 182831039, 201861877, 214871672, 347776958, 498966166, 13991764, 186628637, 439574240, 838784693, 483188207, 755924290, 596112254, 802433472, 228400846, 664005281, 650094825, 506397465, 439217975, 305561355, 54217457, 600511626, 490785232, 1649907, 748198621, 645582163, 777058810, 201541310, 57009871, 579221951, 541039822, 471485806, 748598385, 615889740, 546860529, 330406932, 322731805, 982367741, 818703031, 273296534, 43035933, 657442515, 982472703, 481021724, 688884116, 607818969, 308607606, 703894795, 160710333, 448703867, 470892206, 675198664, 325443419, 329269404, 292558494, 923915177, 656166591, 216923439, 660414179, 753500699, 289755539, 620404950, 601398870, 757483412, 178843327, 983829953, 112013701, 866733650, 369873708, 169291068, 946381508, 723657354, 501733586, 765991423, 660672633, 462432433, 534678965, 960114105, 478030057, 576741383, 927244947, 568691151, 337841329, 800298708, 663841121, 123101591, 31311010, 68366341, 65165974, 600361210, 974624309, 838005743, 577896194, 766078471, 129390525, 818814813, 686624171, 551035884, 46879852, 317890314, 635665688, 487841437, 300655302, 78056140, 727070939, 419063024, 35461523, 869303525, 290644421, 158898529, 36591900, 35932549, 491065967, 449285323, 829778130, 761092654, 953459382, 141711666, 87519509, 881631857, 485437614, 300335821, 950731292, 580969588, 940335515, 874367637, 681873953, 110323914, 512987426, 793764117, 164114441, 584875946, 599719008, 343366864, 317639726, 286574686, 223429676, 109626798, 271232912, 805229066, 636524151, 399512727, 728031157, 183389042, 240731497, 832918711, 863223866, 701214502, 785514330, 757145035, 638327644, 486896902, 210683227, 709159461, 893785527, 714707413, 291065956, 999180266, 122549883, 830609307, 846498912, 16263862, 128743972, 316450436, 654045884, 2667771, 639740716, 595030690, 814156724, 30060942, 463033516, 425135015, 511412426, 399096923, 112030017, 385210716, 713407011, 974495556, 228396928, 803477439, 428612817, 340684355, 72070760, 661050305, 145548457, 41848067, 741469985, 596122892, 827433175, 420735745, 963880730, 738094746, 263156429, 449136427, 399451173, 342636970, 581766334, 96331502, 30635618, 114056719, 240169419, 751723815, 599882908, 910300988, 49418037, 967270681, 101121314, 143258377, 145181715, 158797876, 585227295, 23144662, 324317639, 685286511, 520305496, 509810754, 921733454, 50741067, 878047818, 736089818, 15273616, 323040697, 30108054, 15068584, 58471634, 578082785, 20642577, 286970666, 730836577, 607705242, 555594036, 504706512, 582579350, 83851870, 692968480, 594253565, 69355371, 652810495, 572877221, 12675090, 278374149, 532340997, 149499197, 715393047, 845510390, 928969371, 575979034, 680217443, 500814202, 119577756, 506931006, 101649554, 198617091, 518917334, 499063175, 492713623, 858866802, 797638168, 295227410, 882469394, 971018232, 551105351, 739936130, 503618350, 559698672, 618570125, 960008051, 863481674, 972823379, 160466945, 30720638, 445961060, 286895704, 458040928, 302542247, 325039416, 479504528, 931417282, 683967532, 666139637, 9991762, 187602289, 458596573, 818086442, 242830795, 122597351, 727616093, 123368857, 282625062, 567700247, 68607397, 914037843, 147696028, 687194905, 866005643, 978248889, 555420622, 727126270, 640616225, 548698971, 263975710, 329730182, 436205256, 568625402, 289566410, 645796652, 278832022, 139591237, 65490675, 665248265, 687048204, 351603338, 584771907, 502139850, 705085022, 194555831, 114214203, 729387849, 413271856, 982113843, 731114040, 611240364, 894952804, 432362002, 579196880, 788832870, 442757143, 787490007, 729317446, 961282976, 331606650, 388259442, 162412649, 693372406, 163655305, 737570121, 386030526, 265107968, 304725384, 812938031, 443370736, 434792423, 500793616, 592545986, 745377341, 719552500, 867609304, 601099036, 607883599, 998057841, 789056402, 365658873, 149088710, 308289341, 430274004, 345414421, 340356641, 426565857, 172990618, 732893980, 489388715, 37016057, 117067653, 809157265, 730000686, 576105973, 429487411, 318150681, 625812265, 913332975, 669343980, 205587230, 184749504, 393830158, 154991424, 576042862, 477673738, 833760365, 354231984, 814955152, 416337635, 281175219, 315628929, 67409441, 366689386, 940485182, 920961387, 788517102, 808207830, 274637504, 899500216, 552941030, 839681726, 550615209, 834768476, 175688311, 767414138, 891283798, 487869796, 779908830, 262397563, 97957945, 518098706, 153345380, 338971039, 994229640, 490068585, 946447166, 678583938, 75123218, 235576054, 513454964, 639419480, 77347963, 795890683, 159723456, 569050398, 623873583, 125638143, 253964077, 613120119, 307009781, 854050535, 523573170, 714981420, 735043974, 117609445, 873078861, 821395210, 416884431, 551841717, 920180672, 445619884, 661170098, 465506917, 364926006, 125389213, 170173885, 100910327, 977123424, 146573031, 970984521, 904275789, 489280726, 509545633, 596709755, 950887506, 493717384, 522869309, 706685638, 49693980, 599015929, 726781311, 880241855, 443163728, 571153042, 647921132, 793190240, 512532854, 282023390, 809801873, 111727026, 973177567, 613751497, 769784802, 507304665, 571643155, 304539836, 679568797, 161684763, 286298293, 447731745, 492590686, 400021136, 611999579, 768517328, 33340443, 197160426, 851347989, 382782348, 437827909, 49122159, 14858325, 107808501, 642702771, 820265079, 908044217, 975192565, 42740071, 301569486, 261609215, 483783697, 270845855, 953525411, 433334045, 733915151, 804122035, 837514072, 354035885, 42231432, 804131838, 533637918, 765414540, 585782503, 254571584, 284420630, 717248775, 823482331, 67706263, 420823869, 594456106, 854322358, 513724108, 796436270, 167121631, 277730292, 572520115, 387455970, 134510209, 530854230, 770485945, 137770742, 653489764, 911450672, 169076299, 973178465, 33325229, 583884415, 298279630, 482710605, 979898824, 578986265, 967704297, 927480704, 673929354, 17265624, 412209691, 483584233, 465444235, 91759926, 523183038, 671884341, 772191809, 241990322, 451363386, 23746642, 328530889, 100439015, 138197742, 454265287, 234010943, 235321965, 286354839, 11399980, 442681280, 395354176, 196387261, 526979845, 979069696, 384445778, 63922004, 448449347, 467370161, 12501931, 525437941, 844347868, 363993639, 123390245, 372779450, 438871378, 928702535, 922774227, 275955025, 909268037, 608648648, 851511781, 79820971, 477676219, 82909042, 61552992, 272303691, 453058165, 993740161, 566756540, 671139562, 700984913, 247814663, 988630482, 272647691, 617940939, 682088710, 929502509, 72528955, 228647483, 924385736, 784288807, 687504084, 493172243, 7410409, 859693916, 217420272, 972954735, 660448464, 532104048, 975942124, 229732924, 706527599, 571326966, 193850527, 237189012, 401193577, 127124624, 269099324, 68791900, 451538840, 158570712, 750202343, 316017115, 165738112, 557182428, 768177748, 856448411, 323678236, 640304369, 474279161, 29826084, 762921065, 87921973, 407928921, 436529019, 501224008, 486249084, 943991388, 946188406, 384685847, 231434383, 141741953, 680389033, 822665682, 444399901, 799183797, 663502868, 525755303, 487019121, 678607004, 413471252, 975144104, 600232661, 410453636, 125643759, 995333824, 625072704, 656856267, 29165491, 995396459, 698351985, 179153523, 264982931, 962247732, 216429303, 930388221, 797840513, 901444140, 632566162, 443659361, 147257622, 281229688, 785370406, 577252509, 731936559, 273753812, 76779878, 380368629, 644275718, 573230520, 493659766, 266905553, 243566667, 380853726, 114931170, 430751495, 802318964, 919127446, 673178934, 970375091, 907607115, 319313506, 587301254, 250999742, 258792256, 447081012, 468733794, 970626616, 897978065, 463664449, 51397328, 539144356, 728740584, 837285070, 851810376, 629764446, 787280916, 443292918, 298992759, 369282910, 864984646, 753903636, 795916933, 688922010, 838829218, 94284665, 15509263, 479376501, 561458676, 429169887, 901950913, 687756508, 687355375, 434569662, 253369819, 224996566, 841357494, 114495548, 886494687, 812746448, 187540856, 392036841, 127095745, 327286411, 315200890, 84297428, 157246599, 763142283, 637770490, 832677583, 483569130, 970479427, 450326407, 934091187, 381667328, 290242337, 745057995, 533205288, 596242510, 777546839, 412524307, 847153910, 72760249, 378715840, 597103228, 612559387, 931986257, 855861072, 820309088, 605509719, 528765490, 750796560, 311999270, 359922248, 382974881, 350854819, 992673088, 733944253, 437015554, 440981394, 417248658, 131439216, 921810301, 501725205, 620447276, 223802491, 281081526, 988528589, 478355744, 959214946, 696577650, 880824010, 404671473, 327341940, 32317431, 20632093, 91096564, 22818900, 508487342, 202034724, 57999344, 233609823, 985933648, 612612331, 447616295, 891828679, 353172084, 539546840, 161740521, 389477744, 976353332, 377773136, 633080644, 471328234, 747249619, 569689149, 549460196, 14799733, 898787794, 379352341, 877998726, 570107923, 194509816, 320007186, 463390388, 308607781, 654123396, 711851182, 304809894, 617155242, 724319137, 367406963, 739244270, 87910673, 746819934, 1178927, 223818234, 554632586, 170983226, 498414774, 197951135, 757131737, 980448822, 125626797, 487202159, 810996759, 310736614, 444506831, 140418853, 532051654, 446905400, 278577398, 527950683, 891820968, 92906649, 329905152, 473144030, 43814803, 461257283, 634758102, 405923927, 29220667, 680335797, 542156697, 477131634, 314185414, 71910901, 785906496, 252926479, 112854736, 678531333, 556628929, 741722780, 177925912, 175365762, 553537913, 453923993, 977490551, 397779306, 801129699, 191616718, 229632237, 442420621, 52927797, 79284149, 386709118, 113048869, 536654831, 421800798, 541397772, 595264521, 472694126, 640955324, 165745531, 154866111, 743678172, 46045478, 781287616, 216750854, 476770061, 706449057, 306686175, 234358938, 229869080, 172751777, 42956039, 241195090, 304152759, 834631911, 757190040, 920247127, 309562775, 369773444, 230361404, 305073218, 567408047, 840825590, 958762400, 107669202, 515797060, 476521963, 442557479, 249570164, 675065553, 483014817, 941495359, 116372705, 882279888, 758708275, 153093552, 391149479, 484238397, 718314970, 963258005, 691794246, 99793208, 6338400, 961825228, 947006026, 752473202, 161659130, 182496786, 3122622, 996353371, 150446498, 980812371, 754700903, 780407038, 802268842, 947780711, 530444064, 74369919, 902045066, 712443016, 672046971, 720031995, 922881144, 215081315, 2250549, 998252364, 831236137, 741383722, 149891404, 86913957, 721854944, 843451921, 218572964, 37230118, 758772720, 661958072, 554509729, 786751819, 881667279, 505374590, 823682180, 623172397, 243120469, 6539839, 557379213, 949475248, 551823191, 808601773, 315679851, 223597941, 870088954, 443794246, 393456967, 512552598, 57799144, 13360621, 669560115, 623026901, 834837175, 444927581, 876725919, 911501941, 134128261, 886925545, 930224105, 965896857, 292879457, 928914934, 141727616, 935680434, 51851171, 150396873, 24847966, 500915562, 486757577, 540019214, 55853489, 108621927, 737156343, 151923591, 973143029, 512270629, 327127090, 536883356, 185914975, 703842406, 728797651, 540188878, 42160700, 642880945, 216563644, 311624814, 151782577, 848252666, 189560895, 489896391, 606673706, 477062676, 446644148, 778873783, 814837387, 692753915, 298254874, 474282593, 590440383, 373937995, 28664783, 290759282, 478670892, 374793239, 152668103, 256529599, 361741209, 734661330, 629656470, 101372930, 398054724, 9636274, 700938601, 394375124, 447839531, 923825587, 883887936, 109190820, 73982244, 829186778, 16513258, 733663097, 709063354, 156942950, 708088710, 142442430, 623079224, 905067813, 921787352, 194898122, 756352724, 376358456, 427240693, 23008617, 121954673, 80670576, 730172577, 398047139, 880342786, 209505917, 803036246, 986832779, 516548337, 348678032, 697340655, 80870953, 336297845, 590579043, 343049269, 941476688, 479867074, 748968334, 548677738, 233667877, 867548695, 813565310, 133826010, 863315175, 65369616, 539960852, 127648788, 768336751, 879231011, 72685788, 681114404, 341483393, 618641504, 788543415, 360947072, 262332306, 332846017, 413342482, 492065521, 102755137, 791322677, 711313182, 890734267, 492150585, 125125008, 158457087, 97204061, 255896443, 21662273, 683490888, 302721519, 989989035, 355583540, 237787066, 561453197, 828929839, 164861810, 192138276, 690983548, 949279993, 484955415, 839515591, 681853964, 21380012, 295171078, 314087392, 40374860, 767869541, 545272218, 212003252, 694448309, 44344931, 294686192, 440648271, 20916910, 304839557, 442586723, 849649902, 504233930, 919804906, 243756418, 667790619, 94325456, 197539560, 839452643, 224087231, 627657281, 837977546, 62922730, 331375971, 656602411, 267306152, 646542233, 487011467, 420200739, 970374781, 193136116, 259551460, 56982938, 728288841, 877085417, 398787597, 645414471, 716729114, 522970862, 289335820, 849274957, 985782289, 330336549, 147831414, 466994242, 590239740, 321187523, 794232676, 275379993, 255595671, 414539271, 761754840, 226070463, 279749557, 732716955, 811049178, 267851811, 827283297, 286282041, 425923377, 557700597, 462224865, 110283250, 79349055, 755741525, 502338110, 381407165, 190857386, 818974661, 599482603, 786949806, 385480110, 59045835, 157508595, 182230741, 109034878, 663875278, 414664510, 834570591, 162208199, 201896677, 73169007, 775056072, 330562395, 815702053, 732871952, 386497876, 727735957, 297512344, 81102614, 64476290, 763774422, 917856597, 642712557, 805370903, 704418524, 661864000, 844613262, 821173623, 842084599, 945420882, 520178812, 773063105, 794559769, 799900264, 328083492, 257583309, 641450022, 959167493, 240352054, 746212096, 269576727, 954496482, 329632531, 968567750, 581413162, 219409399, 72863109, 860214367, 299985002, 63422574, 809876326, 780785206, 380595378, 25228291, 24290698, 671549493, 803549511, 862783237, 540871561, 973377335, 131801959, 11176116, 914264846, 324107268, 918567020, 789962631, 121197919, 618432354, 154456435, 739408644, 51975043, 757920761, 714140418, 873931170, 452598584, 292123373, 374357692, 113426574, 552896353, 121348198, 276598753, 814778153, 289076078, 917730154, 581892186, 288423807, 812924586, 436475971, 440860691, 915416455, 45972390, 781929164, 108115081, 67895699, 461145967, 400782986, 343751241, 982140232, 729460550, 607555884, 892556185, 481211205, 199154478, 941194400, 994988401, 21201877, 64975225, 331511033, 89723152, 533112592, 654513138, 382203987, 25875181, 848441524, 924504106, 550904921, 247212425, 400103200, 778578014, 946038035, 729967462, 792567330, 953244200, 527344015, 352484943, 669514388, 534144817, 424467032, 9675580, 352381485, 666843361, 44034870, 541153935, 816210145, 953213442, 407931221, 704341148, 48330616, 514704450, 144695788, 184403991, 62960299, 191076319, 644998535, 442223021, 618251637, 755340441, 356681774, 218131464, 2978461, 450513234, 56953981, 480386266, 918847154, 805051221, 979852035, 118357490, 602408901, 553500929, 402905028, 903200700, 608983836, 405465625, 884447450, 871320490, 574492645, 712721281, 545141199, 643122217, 455215864, 369286023, 829432298, 776340057, 746110064, 68400584, 694929667, 995903084, 849605148, 576780248, 297871623, 303644935, 959665945, 452916334, 504177808, 820330346, 672231643, 913320081, 153716995, 764632276, 778920425, 691358472, 484676167, 95821096, 273930055, 520933369, 204880888, 424771231, 200001599, 87544369, 812055738, 538360875, 389588008, 636287768, 84756670, 254316911, 135791788, 16698340, 595254671, 129897621, 756266851, 27945539, 246861100, 722185540, 970046209, 39132860, 420284908, 109249154, 621775209, 793429254, 477823184, 349975049, 467697256, 283134610, 7435339, 473904132, 703210014, 5884256, 493905062, 383020607, 422180150, 645579239, 284678640, 278157633, 843814632, 343164063, 614280810, 207149706, 630108890, 302060276, 142419270, 411896770, 454642609, 934066465, 896529156, 146798296, 504507378, 958966589, 304013059, 948429585, 392481251, 254044560, 282406870, 887025082, 902797934, 539316751, 942190980, 5252342, 999409064, 50427638, 104863710, 141514226, 197878183, 617105815, 108470700, 160936855, 571960966, 353857459, 970714138, 792518450, 588528770, 323896906, 677665602, 223925331, 645076183, 993628448, 730498993, 402415856, 446794188, 945405635, 448390446, 214111759, 74497214, 184142502, 813117555, 668871099, 783119305, 996142076, 226135507, 577796324, 329545370, 988992000, 73044736, 411465544, 200504287, 924848901, 177046628, 989795947, 130728192, 997915863, 865837634, 661184773, 703324798, 262713345, 28593644, 996184056, 142245015, 19508658, 37681962, 661981888, 492487715, 667415848, 305802038, 173225528, 685210486, 864388607, 225597345, 798535436, 449389286, 136315069, 32345122, 929895305, 147323848, 677431408, 435047674, 710520022, 917237286, 802170166, 596301180, 330141808, 966573354, 486292390, 343187508, 27664074, 619814055, 215127628, 714645534, 916021956, 760532089, 238737276, 472084060, 512188992, 27980516, 126239791, 703842483, 719181325, 872476177, 280828447, 998014522, 810156848, 9095615, 133505117, 964341752, 500824092, 699278322, 417738879, 821867151, 761302150, 273113640, 529451739, 7504309, 408075009, 10481411, 74292520, 747006173, 155794391, 612619410, 242364339, 795031449, 271265863, 827379559, 759365341, 794503485, 308729031, 924636219, 831682905, 132824252, 179956176, 292387844, 945907836, 211902044, 506896220, 192162599, 288497260, 908500796, 607926588, 963885398, 315597984, 494049563, 454462008, 437321629, 873175947, 200142483, 437404520, 925119378, 92051283, 561832924, 782446142, 461384531, 558199564, 594402860, 402201002, 156307356, 638004907, 731912411, 532324848, 186539354, 162472138, 865653607, 613957306, 734426270, 242605294, 708775200, 779255108, 780575404, 874213601, 886138578, 715656599, 418436674, 375892373, 576968504, 18837905, 14295565, 207589159, 437850017, 376276578, 166671335, 826636670, 487924644, 226221935, 906397620, 174988783, 792880388, 206995952, 816055216, 428250773, 817658744, 684993800, 82264763, 831309350, 458138684, 49574207, 270808604, 825151109, 148770538, 648239351, 633278693, 197076205, 518606898, 31609875, 962334258, 824591239, 997100439, 489774508, 951961539, 55532917, 659325538, 176288451, 918122177, 723005631, 253014882, 582037725, 263157487, 3226987, 796837840, 600602947, 440564985, 323683983, 370872857, 385407079, 522181762, 920803915, 964023237, 256516454, 584141566, 740520415, 433128581, 509928724, 308512547, 643674726, 549080964, 280856286, 393373043, 948578721, 698656914, 20219761, 576665457, 875751145, 409713218, 792417128, 269686833, 448714061, 144745134, 648564912, 584178303, 290170274, 144220609, 306987168, 40841974, 430455506, 566729298, 421638541, 778783083, 17289484, 665864060, 536448907, 126696701, 167350399, 266735986, 409472452, 976393432, 805632957, 504865996, 623642531, 742001966, 326660963, 855964451, 561728230, 988533789, 369677775, 761348118, 206908048, 285112917, 121948112, 10216001, 326844419, 371012682, 799016679, 499123420, 44877962, 598595131, 55759500, 51703762, 738088616, 98209656, 724348010, 801684435, 312997755, 192933405, 563251252, 77398632, 799269973, 115590821, 170009480, 2228651, 777714936, 382386619, 405782582, 777244192, 595426642, 916499213, 385705294, 349128092, 928141415, 827376584, 716968143, 603054543, 220710078, 143824763, 254336918, 21548149, 303017596, 532072341, 456543303, 13156810, 693132247, 164645665, 311352402, 438434511, 919757848, 804380068, 831343576, 281023015, 76366074, 881646710, 88084156, 227155845, 113409937, 627831359, 104898819, 103785588, 208051426, 210291855, 858669765, 68193698, 781562175, 194933864, 715413339, 537864664, 426704775, 884411200, 506387794, 538414723, 166925336, 22617916, 899135438, 295979381, 660818380, 259192009, 568165232, 887937943, 889030957, 659348010, 68200141, 638267214, 907878763, 449360680, 619530036, 486146957, 157855016, 113905829, 607392571, 356861554, 388402264, 467556083, 776034722, 528301974, 130837829, 917795250, 412425595, 298454172, 713167038, 844658626, 931759593, 596015297, 820499906, 934172298, 923506507, 935338128, 63807269, 551927209, 299286058, 131227394, 8229835, 940560522, 3897516, 160616183, 524416544, 857250389, 696924628, 190758067, 328678523, 693607113, 564963428, 50942004, 676453069, 344114809, 694022431, 283065256, 319127404, 197135463, 670145776, 884206417, 134301145, 850926874, 440868563, 88579426, 84462250, 364416619, 456465163, 591586491, 19282466, 491689503, 305745803, 227096210, 911057582, 752703061, 608129018, 94112366, 768584995, 924799472, 713539276, 423324057, 460020059, 328595831, 834830060, 482597770, 633175311, 258061666, 331582110, 275220987, 698049269, 937872083, 808084221, 673665839, 48404513, 270077924, 239756875, 795473322, 588518689, 116699213, 406211939, 897031828, 147768788, 268451755, 639755930, 677931542, 441388367, 695919727, 896599985, 79313427, 66418172, 556643467, 564347745, 208554987, 636279106, 826963082, 26550350, 9696371, 901847850, 17434915, 881515122, 500383346, 390089535, 984749798, 396253174, 415759380, 928819511, 972088554, 973904278, 939157909, 463790313, 949992584, 817227006, 453310501, 708966035, 126911614, 142165630, 617832995, 87855895, 157636860, 778557483, 345371634, 683055791, 557601417, 283904673, 16356069, 48070577, 131148008, 456728330, 303395276, 452301947, 334037985, 111029123, 799277775, 485555613, 911878258, 984390555, 925335914, 171133589, 788657196, 405548598, 674442220, 678980086, 517055793, 323572451, 624014070, 18426152, 909431046, 501316087, 448171002, 356807897, 385581497, 452925860, 373569161, 170959943, 739464883, 424322386, 184090522, 518569448, 50247597, 903418550, 631257682, 355273159, 785861341, 655523202, 677360557, 60538226, 71942065, 666553961, 632047299, 296725915, 170136817, 362924295, 900045729, 79227015, 959514907, 625586377, 204409131, 41504955, 920070681, 293610462, 868053309, 587403592, 123251967, 909823035, 722562099, 814085834, 260913298, 315275309, 635325652, 887606574, 591824050, 10866176, 906955383, 980401033, 407159229, 645749207, 287087587, 793280590, 738329457, 951690403, 723874569, 13066007, 191254454, 741302592, 141418861, 309603703, 32593739, 348501916, 446688882, 33767511, 61101429, 875336453, 188295012, 144988141, 259053529, 492472002, 515699210, 214493883, 825974050, 326253045, 649238666, 480881708, 191150855, 762075073, 102431005, 251903274, 143063249, 302665735, 130854181, 321900914, 191588228, 285659786, 927817815, 220041203, 338476609, 821745517, 425303663, 371361971, 698185721, 272180033, 808690858, 948477836, 395978805, 914443234, 411794600, 850922114, 925875669, 495965331, 561805058, 347943614, 926614209, 102974157, 256834507, 216762634, 821215423, 983424837, 22765516, 408606307, 503958400, 245838152, 39206076, 912296663, 373674169, 727157350, 154889862, 826965028, 850552234, 318042387, 76539733, 179953164, 766460899, 600536710, 402671630, 391187694, 446276575, 56226589, 689888919, 674349593, 633491202, 789352215, 787915845, 876168832, 686601409, 837876577, 268798001, 194426204, 540786824, 135135828, 668919576, 76883619, 741633843, 258900908, 563099011, 277110121, 670752324, 467625163, 95054092, 405971679, 308091542, 590842035, 228898769, 811342064, 277242563, 603558661, 190005449, 933646818, 45433685, 176901578, 567104685, 944899241, 549685286, 436015026, 689002326, 23537771, 499029634, 772409148, 151507492, 151831195, 706167332, 657400398, 851557021, 956966565, 674757458, 891160818, 736178081, 475097147, 760027493, 311706286, 232261023, 639073021, 987578543, 984777698, 492143358, 660014671, 637076535, 94909101, 868845893, 307224693, 67978032, 41056226, 159530478, 471890763, 829449685, 697338268, 748560735, 594457962, 697133831, 589748050, 682037935, 946108593, 957332888, 754300983, 358640289, 805186407, 122487671, 294074346, 506861481, 51235197, 703022942, 493306204, 544108656, 20932086, 458066090, 355948060, 860238604, 243390419, 906323866, 800076150, 178303158, 875728275, 509046953, 202730020, 930257467, 497925152, 58373887, 272328322, 523723531, 742075079, 921653268, 370322066, 351159480, 701164570, 185395549, 630859390, 127462678, 29158539, 523984968, 937956737, 358545181, 864582734, 697340465, 459421425, 329438551, 282515394, 642531695, 974865253, 945839808, 164945210, 272220680, 775888674, 521449537, 165054140, 237645948, 332836401, 662464085, 269596546, 991650543, 44392692, 820354118, 916960689, 688669540, 393110117, 941451385, 825025408, 518251613, 138426653, 531194683, 626059836, 118032964, 250684845, 698795988, 308653849, 70340524, 279576665, 587910351, 602087783, 856501595, 916601573, 815623514, 303315105, 256352482, 675645946, 22037997, 578954422, 249247807, 923330071, 791726806, 966052627, 705556781, 983110977, 928759761, 734691552, 132262368, 688188430, 664914958, 235271185, 84337379, 373664096, 601794293, 836096273, 370594369, 936981576, 177766011, 733684281, 189210313, 761804815, 218996981, 844736724, 410150254, 424302996, 288585305, 841056971, 384455570, 787260947, 254687351, 250075244, 317220471, 246365067, 132677641, 531083388, 675669942, 215494017, 578482797, 420714273, 263359972, 683669756, 542127070, 505061250, 289802339, 867018999, 592498814, 334100480, 165891460, 963288539, 281914265, 408655893, 275222917, 729631404, 415893908, 164779455, 584715018, 900483581, 207066285, 831282935, 171395342, 969355168, 972515278, 250691675, 45536958, 11009743, 67537048, 821719062, 21904973, 523395998, 605628861, 261855759, 799438646, 449983643, 771449356, 325407749, 358367578, 309998816, 512460490, 930037931, 495688263, 318284168, 510783652, 142620512, 2867094, 593363550, 925668105, 393009024, 941025756, 301656439, 163852254, 28912643, 158553237, 133201461, 46954060, 689945516, 911523147, 701178538, 270580236, 355407987, 318630677, 337564681, 205086901, 577977055, 540415965, 612178635, 101364512, 891430598, 37699311, 803594803, 554433225, 382760931, 792107028, 742350144, 646413636, 757969103, 262713542, 778523547, 300155584, 607976468, 452203859, 700998071, 76575658, 321148144, 659250130, 847525741, 911188245, 968515642, 345031058, 930559669, 713725423, 304805834, 151362076, 794772152, 927306101, 973483068, 836348661, 554015342, 336743932, 558982094, 743876959, 876121073, 879962923, 835723801, 105652703, 709542582, 284365195, 709446046, 256587421, 723975227, 457760420, 812363053, 932426145, 599981523, 191330384, 998420366, 165460994, 400424269, 540484158, 872483576, 436331635, 356362959, 866098452, 229379060, 51451725, 133945514, 447677920, 770499142, 678192075, 548478470, 526702050, 636267288, 483150326, 790587892, 773590396, 191166688, 858118688, 979223018, 497625795, 855001392, 125748804, 568063716, 854334623, 428730513, 897030034, 971478914, 809497246, 507930181, 221556357, 604926130, 213160079, 7911590, 614295538, 50770494, 371684224, 861306492, 861549264, 696718950, 678889581, 522900739, 812952163, 243625384, 575566153, 896174564, 221601374, 208325253, 116101981, 982602467, 196531346, 113409245, 528046868, 184299619, 975638877, 659795945, 633916421, 325663955, 518255513, 760304175, 914556900, 354467660, 909423416, 512743817, 330770917, 231859342, 226659880, 968620404, 439670840, 57705089, 280621796, 718586638, 874814543, 202059070, 903950529, 766471613, 304881685, 919190292, 163980363, 738272581, 511078708, 813038036, 130100323, 140116400, 34500025, 177004975, 205280710, 848336001, 6474910, 578879877, 676665586, 474422896, 693311722, 726587245, 407466403, 372820996, 646489613, 430931662, 610717070, 69019138, 897420002, 155438116, 688892794, 43855050, 267070466, 88719168, 46434770, 904940428, 806481289, 301617425, 814373108, 978102137, 657721071, 648890928, 902059810, 374682927, 500001187, 583004571, 680660479, 83476396, 952050749, 147142124, 667868984, 657981113, 102671734, 358784078, 406697934, 707360486, 79134085, 604272737, 802224196, 359174134, 905288041, 791473640, 705865359, 590596904, 482590074, 925952674, 249054790, 180335802, 805655799, 746382056, 323052014, 899967149, 32984016, 537312948, 132667091, 834672206, 67723077, 436776631, 720157959, 445584565, 172829630, 342353780, 210551357, 970813894, 476334706, 180353311, 628928452, 602225966, 630556805, 717321883, 392963294, 99908994, 608294323, 444400321, 606894858, 388718499, 645952890, 960802119, 815989760, 611081929, 515344465, 513745265, 478997037, 841229177, 81699563, 759153050, 290183996, 553585503, 258645917, 395561574, 838949038, 699144010, 400097453, 571410236, 742353342, 284590289, 724337428, 639213966, 188625724, 667340156, 905643341, 113801389, 129651186, 466292399, 49327126, 726348983, 580551664, 522575405, 485001534, 32732886, 492505603, 776219900, 413569230, 937198155, 581047538, 862338393, 735628726, 42344845, 650356065, 740921998, 476714290, 280044829, 390324929, 639307692, 277601448, 130490230, 981471572, 445515616, 55039966, 139395400, 992187062, 176428499, 84483977, 373695028, 866137141, 887707339, 972632444, 135577939, 144522927, 45395272, 932859467, 3304288, 596864250, 98607035, 330198971, 589425880, 205294887, 817961346, 898055339, 50025294, 237907481, 754693395, 886319703, 343529901, 358161878, 57883200, 481423241, 744249684, 479802159, 901964104, 26400013, 808880608, 382363714, 753484364, 646117930, 381035115, 562411862, 450448173, 376350285, 734567770, 158001496, 828150606, 191238366, 641198638, 311865738, 623345660, 588807770, 19064924, 860408002, 7215291, 160532920, 404924763, 25558595, 85980775, 641483392, 695974581, 443713208, 711205642, 891325696, 888101740, 652300377, 103451107, 132337129, 27502070, 948014283, 17432707, 631532195, 663291589, 616281819, 919043717, 757543774, 45245528, 302654374, 328556942, 936274297, 176231505, 151888113, 351931047, 364991243, 868237703, 747414509, 954295354, 662728395, 407927180, 701763401, 12120358, 233229959, 966364394, 378388142, 595958622, 855750799, 860593286, 48893470, 359440557, 37816729, 832386225, 659673076, 776627678, 442541449, 363031215, 801506551, 769684159, 375244167, 275585422, 956835861, 720893326, 156903009, 396059299, 445843775, 389052259, 340385495, 34824334, 561486049, 30009939, 372130312, 411525921, 36921145, 53955169, 711368141, 220391230, 782784952, 749903946, 834534156, 364576311, 480528678, 322418017, 645506118, 472648710, 260737466, 872832886, 324645168, 766133278, 925335001, 261580448, 487355484, 395538348, 117930219, 419601748, 475634067, 671184525, 276454446, 78836157, 638263388, 14933760, 533073125, 231288575, 948878832, 521165023, 219182772, 7816096, 58434354, 738294610, 601400928, 502409390, 139330536, 104265080, 760578555, 289141574, 666481811, 477865324, 765546483, 167353989, 281862569, 164836432, 326949968, 992394590, 484755863, 261339860, 884945072, 991226987, 849299889, 103312384, 676566652, 611663090, 500238707, 405924087, 434854045, 375728396, 443188028, 247909028, 681248163, 520568537, 746173706, 871012858, 123196665, 80291871, 231424919, 245773292, 120326785, 483431738, 206735911, 705494418, 258101346, 589081226, 238546689, 724522547, 455866600, 36884090, 208620713, 646876678, 636863122, 919820500, 962138799, 65024136, 938163587, 740764418, 771308598, 804687401, 371488709, 82211194, 996131667, 123631037, 179351493, 157282064, 975598215, 717449574, 814700806, 539394511, 365985310, 756708917, 888967856, 373365499, 305980342, 225348052, 929194678, 610705307, 211098695, 771819106, 263123564, 711998233, 52320014, 595787038, 273241116, 466831716, 385016640, 556643335, 726987307, 746062282, 736406683, 921367943, 785642029, 31326659, 145228692, 415137177, 737999878, 100571572, 178792177, 499739869, 186880494, 596467385, 970655117, 521656287, 462513197, 132620834, 387744314, 238651287, 694175528, 70184414, 519167856, 522521537, 2005858, 218767832, 680742007, 438257374, 76817528, 688452568, 895354733, 918866191, 7318798, 609268671, 186245199, 603551033, 489650150, 840125047, 296496959, 297448780, 242646618, 510733932, 590619730, 667547869, 358480680, 889204903, 623045270, 217094185, 235555929, 742665461, 408497822, 337635002, 965559064, 685412141, 459111378, 885024629, 460239279, 5275609, 167669090, 81206502, 111807514, 506352447, 141729644, 79543454, 417294650, 894618098, 132839841, 767973196, 233992958, 712019970, 100635612, 357774572, 117741945, 864258788, 314356190, 537802534, 686656167, 722712393, 81405732, 518593552, 722854357, 408540965, 254507342, 788627036, 158334603, 443525180, 620505678, 517229011, 809220119, 231034807, 134266248, 313223891, 328809813, 79067639, 300355335, 202040856, 371687074, 581700088, 849877180, 57248930, 791248509, 185817881, 671496747, 203529097, 10908228, 632668273, 434867216, 857392007, 107665785, 591137820, 3457647, 640008124, 656690000, 680937823, 679996340, 856842106, 131105789, 905995003, 73252569, 290244745, 844528600, 473319890, 602018894, 98436196, 264942163, 272478100, 946681686, 54353880, 822008960, 825171091, 137304229, 520827470, 470341839, 742372521, 562173570, 589302737, 22596466, 145674450, 444869534, 130331603, 965804630, 462788376, 593796803, 629873139, 113830036, 138624301, 562385004, 330492632, 274627018, 340715208, 53375996, 616817622, 420492159, 166972126, 980686687, 11864210, 678297785, 811962436, 175046252, 227458614, 667382936, 541147984, 514755933, 130355527, 392069061, 496693252, 733930050, 337945022, 509805981, 848100440, 18761095, 111160059, 737318808, 221722521, 482226709, 181496172, 793850136, 172127868, 751755810, 457577469, 763562719, 540089068, 225930282, 164908279, 39937272, 992340001, 917459431, 237904607, 66472213, 95176975, 562097284, 667616317, 172420928, 184147575, 505315245, 696228224, 647580524, 619570466, 912909519, 331284995, 548924687, 246699567, 564260391, 431793115, 537509031, 5092482, 970987775, 424366246, 560858810, 946022098, 520062930, 749339692, 540877886, 746572627, 114133095, 749392516, 16860316, 810445549, 301546279, 210908134, 972602750, 544317778, 922234798, 763715953, 51793920, 231693922, 699194813, 328712687, 675769966, 770860114, 21887398, 308181865, 113473133, 384811424, 944859136, 597676756, 941259184, 354562037, 962741347, 180379369, 758900544, 806343119, 146666667, 426910382, 532647178, 273309101, 829716007, 882377450, 432108257, 389619105, 234685509, 596005058, 109103774, 45512734, 763657892, 628550407, 377680891, 159883702, 145768788, 473122713, 762276165, 791794601, 496248877, 998262218, 58723405, 441605100, 972663438, 816136569, 961695276, 660726364, 149536649, 974695146, 46248201, 798781321, 982115087, 978781286, 603643482, 502812608, 919781707, 60725272, 387210601, 618470497, 508235175, 573015316, 63599787, 592138958, 500608861, 818917981, 991164358, 830669907, 403706840, 985518779, 626947546, 308275356, 929851297, 328485766, 986034355, 709529008, 545511116, 675471861, 185170364, 68369936, 313645790, 455534672, 537874596, 836721303, 768564597, 971112960, 431213377, 86979324, 69877533, 67043743, 615570859, 162488353, 915923213, 24833089, 737741332, 580491192, 128691197, 380957538, 862869118, 807503123, 355051218, 36031037, 508249730, 4497248, 990922003, 489594474, 327302059, 468795969, 12613873, 183490612, 776918793, 814735371, 888471277, 318111325, 856392012, 703498871, 585142103, 392008124, 643649758, 731378783, 601952208, 314300299, 463033312, 574278617, 123099244, 509136559, 22539099, 13413800, 745656969, 928771153, 394531939, 783924753, 271982955, 834261322, 945961670, 398133718, 291377161, 731914184, 355139025, 441598564, 175150545, 509435909, 906650728, 925837964, 277877668, 816521268, 113311795, 161729781, 792107286, 525434849, 225182811, 986834893, 508659945, 762347912, 890287352, 584048637, 907244699, 118205212, 268103601, 171416042, 79742277, 552115615, 482979511, 593772893, 5068208, 836135129, 422920176, 20050101, 383807519, 419879565, 455943056, 651636323, 758753484, 411395313, 292445010, 704600300, 420861918, 799379751, 449538926, 81295305, 928690853, 722011020, 446697166, 47538366, 858989284, 198063068, 462564550, 183519410, 779940492, 205671995, 895155875, 529054893, 446239514, 199157217, 518257111, 396114126, 68563814, 874921879, 736323592, 441584109, 65732508, 348190076, 326245510, 226414391, 225689536, 148128704, 940827687, 294773386, 379081324, 871315023, 356943149, 133004656, 737776189, 240591746, 11156653, 240973618, 955292202, 294499230, 359599684, 496133300, 833820808, 783928834, 294607360, 736858450, 431169489, 401522594, 463403692, 476888642, 471793753, 606662505, 423636130, 433149478, 136686782, 390296992, 564776675, 418098783, 146889284, 537883423, 305493804, 785934757, 187660481, 930545770, 983250812, 925917079, 513152098, 532050797, 805380179, 908309857, 345686684, 125425291, 266242629, 62889205, 806457212, 945499116, 35879420, 434120915, 682346695, 526255071, 539963819, 596174073, 631654580, 167180270, 730795208, 714868912, 364768101, 309628853, 827484660, 506982923, 791570877, 159532933, 475634968, 172958200, 526137436, 414835473, 593935992, 232124616, 354405078, 730163246, 38665014, 147711594, 356481243, 935325489, 192349232, 130024821, 488412762, 989165625, 977898574, 284523049, 89357299, 237356403, 1527762, 373057482, 345785965, 673141922, 664997469, 9845404, 239495077, 68845102, 357835869, 721149139, 927753384, 172578787, 245734052, 743209878, 417669399, 826515189, 875916799, 824755926, 90763637, 950111811, 415328260, 414756725, 800640977, 680127208, 102774729, 357160509, 338445309, 322849954, 350631204, 157135219, 982150301, 642257214, 214308629, 726715764, 436555339, 561180237, 253118780, 186774497, 631240209, 861612728, 962405460, 310351171, 474040803, 199609960, 57756402, 482733128, 940916274, 127583600, 266065977, 160253772, 966547415, 664172956, 508345748, 997741474, 604685218, 443873540, 318438316, 919802939, 592839954, 831450338, 452756860, 74430138, 764054924, 108425985, 688645583, 736918715, 521394149, 325645175, 374035690, 827944461, 430475951, 179184865, 481158399, 970058432, 93520511, 97257965, 137602799, 748667640, 338327387, 69368916, 151879537, 532321217, 995156585, 605886895, 173454269, 894405403, 275909606, 696258561, 551794779, 134088996, 921268720, 755899823, 670951680, 660248940, 571176837, 318654231, 729244383, 89591999, 76668422, 557667945, 517952584, 693197222, 142054279, 824583944, 339182415, 902197269, 578170545, 517071793, 107756137, 910319728, 108186706, 652517552, 943389504, 679664199, 351134214, 866141506, 695090336, 381582395, 241302379, 512158508, 498921022, 467515942, 516966699, 97958864, 584039673, 92911284, 421915439, 932381060, 227247835, 630256980, 755597990, 300662031, 834880969, 502878425, 878772216, 382464202, 410564427, 882937539, 774035424, 213214061, 955445835, 606560688, 165827270, 118841858, 427876392, 426707812, 285566898, 17592272, 832166691, 848426341, 10485695, 948850914, 669931590, 776991342, 743580684, 125091775, 211311874, 906249638, 67900676, 55538096, 251908071, 592576792, 442510483, 418665084, 59821538, 352956732, 706234830, 402660839, 744793216, 905542122, 182797697, 369020518, 787948633, 720842438, 405663671, 543045805, 252867354, 773087928, 410072448, 888168454, 361539234, 796373583, 460281799, 948544634, 89122264, 171737134, 790003949, 405745833, 646528811, 535999454, 728563231, 47172722, 934568870, 505574159, 499248629, 730208718, 777213835, 160939827, 437210596, 296600448, 475054581, 461567173, 908728238, 706154383, 690270470, 923797952, 654168770, 824801377, 590454439, 324316702, 746059699, 629890079, 148859080, 289153751, 542504294, 853884878, 614867754, 396440219, 47330225, 193068917, 732115039, 85581227, 655192194, 627934413, 620243179, 245329978, 289676684, 127839270, 714073460, 382362263, 742014382, 297125342, 889770224, 920630135, 894601449, 487107235, 354687789, 715960342, 370469297, 732283027, 125082576, 953829476, 997853643, 454594146, 470999420, 378181663, 519186829, 167145679, 988218119, 406512976, 570465032, 141144173, 8314213, 979870996, 173186069, 322376416, 238544927, 460199310, 286894443, 517468391, 117630339, 315988658, 349101085, 364918043, 990873650, 12654796, 488556705, 627482707, 603343210, 460697828, 497388155, 439226955, 814342221, 250171005, 892520764, 855103887, 454432090, 657234319, 207140674, 528561702, 319680754, 130833035, 593665384, 883477392, 968904449, 646557904, 186957500, 684109809, 592870837, 777771883, 776795938, 789660442, 236073132, 349863627, 532213347, 927142953, 643496788, 332154261, 907340648, 782908281, 470654992, 920993589, 847847271, 121873692, 332850311, 338862278, 578878832, 106135192, 571310506, 798057182, 335420646, 619715819, 34820268, 465354077, 223517842, 113369403, 38206018, 815773300, 353944934, 821714651, 535479512, 138563145, 997699381, 143316945, 787507188, 758688684, 493805656, 729220263, 39906807, 970813322, 733748031, 341646503, 471093151, 292451775, 188349683, 736618190, 464505831, 389625868, 625361156, 991443089, 878151510, 55888442, 594152939, 12494394, 339373325, 958238469, 357084495, 541280896, 556350947, 865290887, 660898378, 890066179, 637263677, 862889353, 890820908, 599086340, 394909081, 273747662, 446477613, 889416404, 653482764, 874938425, 115291359, 58732885, 533469315, 845346093, 310247608, 151972838, 355275116, 583381789, 201815586, 693824831, 220353018, 25968025, 157346556, 568993587, 745767988, 232416049, 664894252, 423906825, 751886640, 658681857, 579195005, 170490400, 838846573, 205966259, 278316866, 939319474, 773795755, 117211327, 446302078, 719363665, 111195129, 108951313, 975780548, 997663798, 596688878, 186611091, 527306372, 950529752, 275895953, 53409520, 890970779, 618243460, 200925466, 536279771, 997873588, 187702893, 861936503, 997488926, 246271163, 599166785, 786380875, 802187158, 470812596, 470567163, 430011078, 808624719, 940715203, 95160261, 774261935, 494215562, 665245754, 289552077, 128092541, 938645517, 749823126, 309402520, 227027475, 894768091, 120245482, 839935764, 721698797, 165846899, 96538926, 897092232, 58377861, 854437709, 734047029, 54134707, 241154724, 739668748, 672913792, 478958172, 229884339, 706416642, 219066762, 987781653, 166133913, 209825807, 697715994, 330779143, 547627419, 704444116, 152044971, 754197169, 214086460, 871917310, 274437444, 410004769, 214828452, 895936299, 649942205, 778398893, 411566421, 654401003, 887756481, 952211613, 272426064, 739438646, 864260045, 395060153, 651949643, 975774067, 648771106, 395611592, 609966369, 871801698, 778167750, 916317463, 512011068, 666109481, 907972724, 11768846, 553132196, 550624824, 198957339, 425252375, 35595768, 577997037, 725911448, 693563862, 4937500, 217323776, 783574472, 581035139, 697595682, 541928388, 207331809, 10528246, 816036631, 258632450, 36189794, 205269194, 604048001, 284862093, 121100828, 739846682, 883391181, 642894820, 669783298, 227374927, 918462784, 696525062, 409548938, 27397397, 524570189, 330278584, 69438076, 774720248, 190321577, 744040611, 739490484, 903941854, 854955435, 582335013, 214135089, 104040531, 5259239, 770918722, 478552077, 611592488, 210109870, 127206871, 655958553, 585914036, 634870727, 740693186, 459438391, 615806311, 317352958, 906714971, 472600376, 214328363, 901165102, 246550359, 495070362, 491992279, 846202946, 266907329, 828421802, 818737528, 952886501, 189269502, 896928831, 78344931, 551986206, 453316774, 346665261, 797451291, 395231582, 260670970, 883055220, 774812666, 627056990, 686018843, 173843287, 142297782, 603805165, 923471312, 527338922, 986850229, 645773593, 462806468, 366711049, 858404732, 666246775, 19728500, 294911667, 149831492, 351382310, 669751995, 186997274, 766824519, 72249024, 44430075, 541375988, 949432299, 421180942, 872378599, 852716712, 477806186, 303201264, 450189522, 180176349, 617860906, 269029013, 807272582, 109078354, 549804112, 504483761, 570220036, 961246351, 95140550, 521457389, 936128962, 678132915, 432014259, 840953601, 304212276, 28316936, 983680213, 715789277, 991105077, 785147537, 419999752, 250345589, 722605857, 628411635, 627622318, 37703820, 196082842, 818863697, 120001885, 172838216, 180400384, 195249769, 658073595, 189541805, 973996132, 465349113, 966926666, 681566038, 562364524, 279661709, 993903829, 502226901, 525158704, 180172612, 731044762, 491604204, 9733311, 160829924, 382645562, 673690856, 256056606, 865875092, 704435027, 316220615, 437576362, 178235074, 876840393, 474872524, 230140121, 180873059, 14121867, 11044191, 125982327, 111080628, 830931203, 346654760, 381636351, 182088576, 939211120, 383740565, 955571578, 952435280, 536286369, 139192642, 541100978, 902873727, 866002586, 359274987, 914634977, 151081015, 407103355, 261833189, 629620720, 665719100, 998463848, 181325618, 872779980, 867829061, 422441638, 495725118, 592032780, 417970460, 579928173, 877817931, 106290997, 717269259, 58900671, 817418104, 640380163, 567698976, 437298919, 859490629, 197598389, 523660651, 222472653, 612611145, 271865376, 693853853, 208104193, 156108307, 893739819, 67998836, 431898785, 963230558, 550080832, 457933133, 471825027, 563964247, 967407438, 658896042, 488310086, 983488917, 683191107, 190417544, 87324813, 57241675, 226741342, 12523918, 756559064, 395024800, 429208749, 52913037, 503797309, 17879225, 354032587, 359914191, 598191715, 583338074, 85104603, 836253297, 555151306, 178505156, 27405871, 473720620, 475452424, 535930132, 613348063, 812280582, 436480941, 564624032, 35462251, 928753687, 682999495, 502946546, 300705276, 91933735, 194048327, 43741771, 465567751, 297755975, 729761980, 782762318, 634039038, 233419873, 858630959, 461863856, 354375560, 224080945, 681538862, 141580372, 951561499, 807826395, 395103570, 582544384, 354794434, 784275095, 938822298, 890183321, 847073222, 852285850, 760197151, 994335122, 307821300, 867574159, 25033177, 330790694, 252964, 229801110, 653647795, 665888536, 726104709, 528544429, 979057446, 228588398, 120373773, 935331104, 520646510, 949894265, 176545213, 501395480, 588029964, 45041616, 969672256, 986313592, 96621476, 807171205, 599046826, 492871089, 475801315, 867010667, 301250337, 158944538, 939039233, 866027003, 323942634, 95505376, 867207722, 589580336, 424295263, 419535757, 169073176, 558294184, 256464261, 820852558, 48074509, 941350327, 719175369, 958584502, 79571628, 573363434, 673003058, 896671424, 341127484, 500237726, 550658291, 724734946, 778747581, 324791692, 914014994, 19034269, 516628774, 464399592, 101548733, 678702314, 796487595, 480099257, 817185108, 544518124, 539625709, 179953146, 768581955, 921985621, 565873045, 145973515, 551707100, 440641639, 67102758, 376529953, 994072568, 672757942, 165144321, 247230159, 319740056, 901370681, 549904836, 512221415, 234924409, 960394843, 231057882, 257924299, 760585219, 874538056, 318818325, 484671725, 188430217, 16383767, 374829728, 13994853, 714106481, 852568786, 549043724, 462491242, 218596678, 216563368, 754994128, 288992621, 335176735, 603469568, 900906633, 859908452, 726452161, 690766078, 690623844, 3948411, 262217984, 211791453, 230830478, 328037297, 371781464, 298281271, 526469479, 464900742, 898678115, 525921895, 875706489, 571867960, 809757355, 640392801, 314182298, 408264483, 709739868, 272625843, 804220068, 997829449, 820667808, 984975374, 434094896, 472843342, 988246858, 391824861, 942211323, 962949687, 609588325, 464205437, 159089412, 497778439, 150595707, 801298767, 379488945, 433605679, 181123815, 401563763, 664164585, 124955801, 919193945, 986232291, 961626928, 152728533, 102282651, 507765658, 94169795, 929683763, 659437654, 405719841, 931028985, 19690189, 350954787, 599495668, 523495309, 211663620, 376290070, 967172594, 938885688, 625692791, 551453640, 95458749, 331237285, 779413563, 102917623, 471574875, 2990259, 994346371, 950877142, 684969702, 590754569, 809556027, 944601190, 723121467, 732327085, 261683588, 298568299, 733176961, 180637927, 388881275, 652410463, 196052455, 394881676, 12409119, 546500116, 429695008, 84930751, 398810167, 672366618, 109294807, 758703386, 291691830, 779401424, 534995317, 861826117, 235394545, 115705260, 935581145, 692060362, 471005276, 833513897, 92224663, 942919201, 846986509, 858722058, 853214023, 20288554, 896909347, 705814227, 644941594, 501149299, 139942743, 918974085, 941879232, 907738629, 381885920, 936949593, 789623534, 831859236, 844461341, 244128135, 777521232, 392369366, 519717987, 196334833, 654043504, 800316207, 381708954, 408502590, 364760741, 295798822, 471704797, 157224673, 395988323, 52785729, 947755677, 207435779, 721988696, 517858146, 981443381, 967816489, 771388873, 168961272, 813931488, 798892198, 145383069, 549099626, 368304867, 685290692, 548812448, 346431389, 327340608, 195470042, 501823481, 720978970, 53003467, 188990822, 67661121, 995352031, 871792734, 558813346, 292858488, 897358336, 388871295, 715908016, 955842869, 42133877, 848011477, 598437631, 472523095, 935212530, 835856962, 761930488, 425755983, 9681735, 945728646, 624857960, 876623440, 297924908, 141609281, 305202769, 783074460, 592483743, 483650675, 937134075, 929529045, 453049415, 332716547, 25891933, 43298149, 620189402, 740182449, 804203390, 961154528, 485205369, 543414088, 911961502, 384008312, 636079646, 860103778, 268879414, 196047970, 532726830, 172773709, 709103162, 383189862, 130184298, 608583098, 941799322, 55139063, 37863988, 542154321, 825326096, 491983144, 692907788, 993944855, 871788197, 519285221, 934486987, 549449865, 4136852, 662737433, 494628227, 336108695, 681379274, 215548536, 971637643, 653171883, 500888915, 156376863, 833319174, 901418676, 124658927, 890058062, 681677509, 49856722, 109878491, 146473580, 988813651, 502367556, 710549523, 173844269, 565962839, 508734931, 656755234, 61285755, 449760921, 58444106, 834322306, 940832309, 674443005, 506473316, 148902852, 219085746, 101005201, 851116813, 76998774, 159569609, 172637413, 346744429, 288354669, 737034367, 795616791, 660786867, 946349502, 469048460, 924167714, 633339066, 672676287, 583537173, 46853181, 436623825, 381270508, 981342049, 552166197, 216744960, 49924696, 821442705, 91565010, 818880137, 749544345, 6383306, 805383169, 36380130, 552742605, 665308867, 889021708, 320737691, 984907707, 989295754, 712399271, 966922214, 651618501, 760600576, 237790158, 541480644, 352873768, 212185443, 856638777, 731997101, 87243773, 363863470, 317091219, 868823383, 22041901, 776412125, 866381354, 954261885, 925067148, 76869787, 145671420, 871346165, 44628787, 184775451, 209128476, 970342343, 505298592, 891518382, 437767620, 425395266, 573576230, 445213238, 338394821, 493976750, 840066155, 191063403, 424038545, 823052804, 715153154, 60456180, 688565747, 109490869, 997141523, 100854523, 722908753, 545031224, 780775759, 801197772, 890615662, 489644866, 949703683, 888629689, 592122628, 613528642, 308896844, 531845230, 452357088, 836630425, 118629843, 427925568, 745084968, 852691336, 555071334, 978013444, 483774537, 487160899, 868906818, 142050346, 341462793, 351128587, 323290699, 306523382, 208828127, 185375249, 862042214, 125334925, 877453024, 310587611, 583690444, 43994531, 30838351, 973710608, 93936280, 65494224, 3059885, 549639664, 947295929, 927061134, 482091306, 337345301, 386979688, 417058477, 250988759, 683397464, 873979134, 140318905, 33763854, 465597417, 717122705, 185107928, 50901857, 639268474, 637173356, 937258188, 16477705, 455804326, 380687028, 36424122, 331699849, 926817318, 25695671, 744359055, 680960917, 608377789, 319923038, 194026819, 715230264, 103545495, 36101888, 173932070, 376050809, 780598189, 656912696, 242981346, 614656577, 473697773, 523181652, 112677835, 702589236, 162765979, 159950981, 700608055, 811710652, 741812727, 562652964, 155836630, 711650664, 726208376, 307306791, 381398893, 469695914, 453779125, 782779644, 779947304, 561386081, 563659010, 467524582, 349788050, 170778200, 4798427, 70060982, 827058942, 549783419, 843405480, 597589910, 758510542, 729927733, 983758977, 608240097, 368453686, 398547407, 652349651, 138514395, 280901268, 998194101, 306671114, 237518443, 80603323, 64722467, 189117823, 74056010, 866272455, 57054978, 174427826, 376469395, 366106917, 414626613, 936557367, 779780365, 72767552, 215732257, 356031807, 431284292, 430455360, 231451542, 832888694, 650609490, 609818692, 549688365, 19463480, 847723999, 525224611, 247519092, 862926659, 105574295, 889755444, 540676380, 617771682, 211357184, 205732607, 457504712, 260717587, 889434271, 205709759, 344441039, 129472903, 133437551, 847553136, 147089818, 704646622, 718128711, 588113305, 470295204, 378923226, 837622064, 160341370, 883110304, 956199565, 863899603, 386961488, 364735922, 856703585, 699280985, 340839047, 287812156, 50068143, 25493241, 953450383, 526351344, 617855218, 677721453, 56794912, 131088625, 917961701, 528390797, 688848881, 555199129, 707701594, 13455631, 963468477, 97831921, 99289752, 677352202, 650025640, 491151110, 278048345, 851649542, 3107482, 295348994, 125928009, 678213983, 180328979, 293999008, 377506103, 941109334, 927003839, 151861142, 628873225, 304412041, 815208724, 767090152, 2474284, 243670433, 336216048, 861487777, 414176903, 419940991, 378185616, 657160804, 562336874, 420523131, 316932479, 276796562, 993692444, 894531252, 145796408, 897773896, 208681567, 129196062, 632092606, 284308825, 917716509, 480071796, 418240530, 859573468, 524332371, 143112615, 980193191, 654005800, 444761733, 427093389, 492974617, 348294626, 859616637, 817169978, 617817979, 811887444, 428027005, 849967980, 884838188, 42929348, 582820864, 506079404, 143304826, 49296127, 844058675, 260262069, 843482654, 767629508, 819763012, 201542778, 363644238, 141997309, 774549031, 72990924, 116492822, 10320265, 366920074, 344871228, 130564507, 329504388, 458310793, 642742244, 726827596, 682059533, 841348957, 780434704, 687388347, 360585267, 773623453, 430355228, 187438488, 264499845, 624065369, 848474908, 371850479, 696815207, 182411318, 317182729, 284470722, 379249476, 630959884, 32012846, 500462613, 584258606, 264462129, 422237347, 655691211, 421785122, 136121803, 720820779, 782006883, 99888898, 260525395, 719634253, 390044503, 430222316, 363457715, 370375745, 110098847, 671030135, 342300088, 18528258, 942360912, 884526208, 190492382, 836003864, 302244646, 865833473, 145228817, 910899179, 22744425, 269519121, 664379403, 904804063, 249620618, 75687839, 843520966, 897303851, 264141553, 142510450, 917225300, 233402874, 329995862, 963004055, 204520942, 578037147, 815739174, 433493933, 911900922, 654327418, 275027410, 254258158, 724002985, 737528494, 811491196, 797984038, 126132856, 96234813, 473972539, 316901348, 337120643, 520582520, 41603988, 774078059, 331587006, 348582689, 699473440, 752141438, 712906850, 237644881, 142750714, 527777006, 671723505, 765530950, 953169370, 773189990, 825256070, 527368982, 122951971, 941756132, 509167698, 160485394, 936979955, 771645485, 391931163, 63299770, 556585023, 229996205, 52988186, 839997818, 512390062, 341261872, 863979062, 538434329, 497622200, 914496046, 614670183, 777499037, 85139886, 799488085, 52079430, 578890090, 324125936, 739187816, 254937749, 986143171, 844910916, 83315336, 712712020, 221127749, 51366867, 373281186, 964189859, 231016679, 778424169, 384316069, 424359574, 936045006, 848616460, 439421270, 763090471, 604842303, 363431762, 593796959, 402591654, 396762957, 213878019, 799351813, 509303809, 584983380, 331924603, 169401937, 222619905, 559630831, 428165382, 299957767, 34645508, 20128900, 68282382, 353416168, 837548468, 181498752, 476282713, 116959082, 902249785, 8631364, 992111516, 82785477, 957530330, 823898854, 520318089, 278185450, 98295329, 80023269, 26609638, 202668990, 55603010, 858851965, 260801570, 550334361, 936257933, 248344387, 714497033, 353396804, 385117010, 817156054, 770763601, 603701401, 549164984, 954218086, 229764223, 493760926, 593185711, 232587355, 182759259, 727195346, 214543738, 250597143, 506022558, 440880148, 374212279, 356418379, 609598688, 815045745, 900495814, 132359135, 68320377, 36710695, 799619518, 494630134, 5738574, 162387505, 49157946, 545896461, 74357794, 257705681, 513501848, 565034013, 584084359, 748979883, 62330496, 101222542, 424976340, 884783876, 76361503, 259929118, 677008362, 926837112, 580999288, 859217496, 229137028, 652600882, 122319421, 268563734, 469597034, 590418710, 151882749, 308664931, 99731046, 505788486, 556986742, 714325422, 190502551, 608150650, 634601220, 589167605, 189202151, 994649860, 380999955, 954431847, 403276848, 413842015, 972021025, 832419937, 575204643, 26067307, 888102767, 139456010, 525678981, 121571568, 144193895, 906225997, 260385839, 844198581, 745844384, 826564854, 919329275, 582131740, 224250162, 745932159, 84219221, 42846950, 486651629, 426018424, 124464468, 432805501, 79924687, 501804460, 586591774, 344808066, 147151415, 572498893, 108863255, 147357739, 14366754, 601802277, 796895212, 914905525, 841506017, 293747645, 35373934, 376123163, 95217170, 308437615, 783503681, 998162965, 190980836, 641266167, 852280182, 966931394, 309258747, 695453846, 287652140, 223858212, 992209630, 94147104, 361441952, 22605574, 438323800, 400281101, 802606360, 376793343, 958379093, 927558480, 535868973, 329557549, 801872412, 38150049, 195003594, 916630083, 286466150, 737390892, 606641354, 426585630, 565985347, 973108567, 781356356, 962670911, 827600663, 67331812, 861836194, 228739495, 468172255, 311896983, 597461665, 488068311, 809403629, 988410607, 720096800, 442082264, 656228184, 99358845, 832025788, 376492407, 422228584, 396643070, 871679345, 697614674, 645517781, 787225508, 126111790, 653809576, 250475332, 127473135, 859116742, 948540187, 135012986, 833323750, 397988628, 161893085, 281491662, 804642097, 598457249, 822335046, 605933812, 633197134, 341502307, 956716904, 796842750, 565770801, 826128462, 95802285, 309096821, 972342455, 129161982, 101161909, 672986238, 691812761, 200725169, 411954294, 863514649, 28880886, 114645038, 703796868, 549348441, 365672409, 471706037, 228006082, 486667973, 550654979, 735987513, 395420032, 789205378, 161588703, 619884215, 738419330, 207368072, 157505286, 425590061, 957343174, 788938, 81456874, 419409209, 139954056, 97447982, 499537342, 261101738, 723250597, 17696619, 12680933, 326469800, 388396407, 446876457, 916192588, 821200177, 458448645, 840617926, 50455332, 354589093, 493979499, 144694805, 861876947, 520300929, 340875484, 381047745, 596528919, 485306352, 139275449, 423724393, 861508975, 833733028, 889676073, 879561657, 846196580, 722047162, 805016700, 839980764, 257075054, 775394094, 618343924, 188470059, 844108754, 649570433, 674593535, 586700846, 258535941, 325435871, 423533607, 399142853, 874790175, 948835757, 399442623, 434093995, 926431647, 564065432, 70254189, 370557007, 948726596, 703544544, 725446729, 340351407, 734053213, 476640420, 904274215, 480952631, 595979028, 615412581, 711144110, 187467392, 700723780, 153707502, 895233753, 653328063, 849338549, 138808446, 689824497, 455995867, 110694636, 468355011, 427544718, 947242223, 447366106, 130029087, 183620828, 435276061, 342612835, 556060591, 548123850, 227942832, 261492794, 231526572, 382854050, 852389611, 726153043, 184686820, 869838656, 162577538, 802855948, 738745671, 550407781, 511825640, 840193591, 503626172, 789066659, 994023357, 937883637, 433463109, 645936087, 291366906, 783520790, 74270484, 872590262, 813937277, 517592880, 692567856, 536926783, 721029924, 27483453, 196955855, 452524233, 431853363, 592280476, 265460841, 721300733, 700931361, 914001146, 404598740, 861410849, 186515822, 153627537, 38107317, 420148217, 827778972, 35326955, 448851653, 571974484, 727137578, 190896949, 364974602, 689262244, 777971518, 801973584, 17447993, 23684652, 271612881, 418083423, 726280579, 842912709, 565422649, 255804624, 187928002, 917595447, 865306980, 983108208, 704760819, 909968513, 476819294, 67774625, 448482247, 406396398, 806953688, 603544857, 388456644, 308737065, 581572923, 517441962, 445764545, 423264982, 323027899, 319134817, 339235596, 180226258, 159888800, 743480173, 542243203, 527574816, 769906810, 623750967, 389691637, 702127127, 517334467, 571722997, 723164669, 367778949, 820809271, 443964397, 522681718, 283609211, 972805771, 661626676, 555369976, 769151358, 146916022, 653959841, 12015911, 803910786, 653777218, 736444695, 146685274, 66263252, 577224202, 662245917, 786425611, 97939941, 278258589, 182954927, 18715589, 162725601, 155042315, 82310641, 151374829, 863401897, 981634624, 553317149, 519299408, 667284536, 98212715, 631135724, 298127538, 477714296, 521442947, 199753889, 356712791, 671669564, 859887468, 670507452, 721153508, 902488555, 281847599, 938831552, 876253231, 250253351, 387291702, 722559024, 876937601, 420741590, 955651913, 372644066, 532134521, 788351027, 720982454, 130677215, 109410504, 508826207, 353260498, 768011614, 213014952, 903377297, 447432676, 251523640, 958564178, 307430205, 824279056, 714737156, 496845458, 954002795, 770108817, 540905437, 784952696, 529652935, 881489397, 887133983, 123074812, 863516928, 110735561, 29989082, 191361343, 47783934, 412487538, 261055180, 388773056, 831107117, 376121253, 147287402, 760042206, 375219033, 216089443, 224946496, 315405637, 616760797, 964243871, 622690833, 605885570, 739258270, 3930110, 334837781, 802932159, 842989391, 833622698, 293594133, 20287036, 391639640, 665600725, 359923715, 604204048, 168393254, 123861860, 535219963, 841746944, 824935565, 369317863, 662866662, 110136628, 532413379, 166737499, 509307705, 963317816, 470058354, 227197367, 759725090, 646207068, 64904471, 187636757, 671496799, 327041288, 221345116, 574182298, 992331287, 749797790, 52442070, 195573730, 176004801, 404654772, 484934916, 752177285, 687539380, 536449354, 99964167, 538042143, 600593653, 624206249, 843251481, 667125250, 456858280, 858647288, 543837960, 941373583, 504012598, 939245967, 845227356, 620577375, 470174870, 642485268, 260431968, 75697703, 265392296, 137634893, 200386975, 981992598, 673936139, 84448399, 296639284, 325065381, 91526006, 759633842, 350866379, 175727528, 511927278, 949695302, 523872457, 675612590, 950747029, 287536676, 317031973, 242401952, 142082045, 470213641, 658133990, 411420987, 597566633, 116157837, 400075732, 869804688, 282920082, 86779910, 345256875, 294931689, 230041975, 489296457, 507276130, 209263102, 546005937, 384231392, 490042551, 393191006, 770263007, 855322551, 944684031, 992651471, 958002714, 545058638, 631453321, 749608603, 530857658, 510359078, 104988700, 616364300, 421457600, 177569433, 231439643, 925839259, 674552087, 346749470, 163689591, 28255657, 924685811, 520927990, 249026079, 854322762, 113194213, 390314545, 582924153, 138614392, 159687754, 478913799, 633543241, 198839467, 795615262, 831290843, 61355001, 863709214, 382434826, 755954744, 32098311, 600525031, 518538621, 872820188, 573257189, 708383150, 648444315, 167648458, 428416290, 590500629, 857710063, 671088856, 845575655, 579032221, 509874410, 237818213, 971497660, 106069459, 491136313, 162112187, 773150942, 633878989, 72861605, 260439158, 644478135, 348164382, 472355008, 440044106, 536599941, 918639187, 137275782, 197295365, 181818045, 49974107, 324194603, 890462736, 375509986, 359963750, 327678415, 310572219, 721213250, 541130480, 781862989, 873319827, 204385268, 753811477, 368057894, 155654069, 152204768, 776118664, 605027847, 97684496, 478753959, 886807790, 506010449, 718653618, 510379861, 245033329, 619441329, 558213597, 288276221, 184073514, 673066840, 25003614, 546121331, 821555119, 913528783, 655214908, 999119221, 452741779, 74286160, 437258386, 812724685, 672301546, 429163287, 558216042, 320245987, 567006544, 349939067, 140622042, 798631477, 94093233, 355985362, 479009390, 913958702, 424386897, 514171340, 740175870, 679049514, 738354630, 700965574, 328225497, 872369797, 124920074, 659699380, 19741898, 176524296, 810970903, 589356117, 482661217, 105305244, 746566901, 789469440, 677706042, 194890281, 253528370, 397859137, 770080761, 236334065, 87948780, 99206944, 722161690, 897947100, 240769076, 598835286, 600921808, 238244315, 872557392, 483424546, 596154945, 675606989, 628370739, 529572462, 23699032, 652857066, 336137559, 359768599, 499057424, 934946367, 960779913, 528437328, 897308609, 734105908, 366963058, 433849598, 422068143, 973174747, 807166647, 311646721, 131692434, 126981280, 117469648, 702585623, 312063105, 950598783, 436053434, 553680247, 991777645, 781768666, 357847954, 861331217, 765639204, 769123620, 72584091, 268948840, 147658171, 439073692, 41103978, 64227160, 403969730, 46089518, 181999348, 388227680, 745583308, 933660977, 755735818, 4934025, 936389697, 234270892, 38682384, 645849153, 104101994, 274682751, 241354347, 763819314, 395351573, 591458719, 963607725, 655774111, 868801530, 349477037, 674217147, 882427429, 812742007, 91411120, 56043224, 464914548, 1217781, 391567808, 399848482, 996798040, 32019349, 625182146, 350440573, 459952144, 688897311, 348287771, 904348592, 921105239, 434965027, 148993771, 977813688, 613236453, 455752469, 932400122, 939358943, 694058769, 846062183, 33002098, 796353925, 703485451, 520003614, 82660090, 600657664, 320283740, 843184092, 458604141, 340574707, 63070898, 269261813, 272535906, 107613807, 778371093, 97827903, 311892346, 580174851, 45805994, 472021231, 709361944, 189442939, 491232893, 205639899, 386693013, 576740612, 655916612, 237590830, 196887617, 853949232, 785206377, 669571297, 233943219, 448392670, 222818691, 243953454, 52688383, 693709636, 776288967, 395486042, 533916635, 175065613, 47289139, 785826033, 746838142, 816505585, 227376558, 106508825, 86981736, 814988754, 722453464, 666497236, 8616033, 463514351, 287803623, 427908485, 208754762, 356147891, 377209810, 442206377, 565961933, 692427023, 395522831, 223996557, 41841748, 893250781, 748689284, 360609640, 187154855, 221657012, 36202516, 156562165, 429607806, 934696684, 956335906, 331578738, 581678078, 837907858, 747688550, 687032364, 498408054, 366099882, 777559421, 36577525, 464181836, 258039807, 337526388, 357227151, 138911815, 639834153, 972331785, 951319795, 147282623, 631873378, 199399763, 693399772, 216268970, 123725999, 397039078, 713815395, 813468150, 128537007, 67004187, 592812887, 956169828, 418820158, 840274031, 315199380, 15409495, 161428486, 995586748, 140654002, 890010959, 321572424, 518185008, 991271088, 900698211, 84164148, 553509310, 985762974, 711862704, 553138546, 805625916, 268740984, 78338468, 912716700, 486627123, 839703200, 454630664, 915141867, 361582583, 351099484, 322112376, 207395083, 103882974, 47321378, 781780617, 450713808, 983538285, 430886614, 17573966, 302051260, 450329092, 413205741, 824158352, 443254903, 155710340, 402979476, 817411605, 766802637, 3615041, 416499992, 598212441, 970011273, 233771460, 159084754, 151790844, 222270775, 400925162, 169208563, 545824114, 696850537, 152430797, 198526869, 144024571, 654635592, 982179450, 555576709, 42081818, 542937451, 909268422, 413317282, 677889967, 461464035, 566607698, 734068264, 186216802, 87930066, 916286730, 798180568, 30687978, 419017240, 824184796, 558886031, 714010688, 544323989, 75921, 264321272, 224769730, 107516097, 403374198, 964087924, 565274970, 313674231, 209532809, 918911287, 11445835, 23497918, 582725718, 574917712, 425085520, 965246209, 893871358, 591235575, 545443491, 914922636, 825202818, 427644876, 923776310, 601619990, 90556112, 647865051, 738104114, 729020864, 750133899, 126654449, 658829179, 753586045, 511030065, 726974439, 293328315, 25532456, 392648458, 499944451, 176497898, 544559414, 209855279, 282481319, 120944895, 263471012, 780300258, 363956265, 339025476, 99930725, 591066286, 790053093, 725428817, 401202144, 481723305, 254668562, 454386553, 604517657, 797101384, 428664915, 145954969, 360052720, 624880596, 609091624, 756877828, 70659939, 390864773, 483097318, 492669960, 53553364, 951404996, 37903909, 184143179, 933767806, 735644415, 99139295, 258845402, 351063895, 322464119, 326347579, 66574353, 588891707, 295424150, 209869761, 288600076, 174718425, 360744371, 72787955, 822612263, 771774099, 589109822, 267458153, 370285106, 842358212, 84621455, 527670450, 690625586, 343761171, 640996344, 79927790, 39866247, 863014698, 269214881, 278344691, 475025301, 137643283, 251653003, 740022409, 679818796, 134373413, 714503249, 478220456, 982257749, 688013831, 307420480, 32220480, 676725343, 204137465, 17791316, 201252906, 450152503, 265924519, 930466191, 678144207, 821950395, 230037509, 249217604, 314243789, 724276252, 922733191, 34065719, 466171322, 990571552, 459590307, 507855700, 81785234, 748192332, 861669612, 88486170, 796656296, 819085914, 728824036, 382069167, 613357411, 297358967, 544407691, 149158740, 291161742, 427760134, 517664856, 973333287, 956389269, 836238650, 824134076, 672994535, 492718643, 832839074, 32311145, 529751691, 814623194, 560352474, 356476393, 187721119, 458664436, 132689958, 118782274, 151222498, 551131605, 154817210, 432037914, 336333494, 688348507, 628533305, 373002926, 108114153, 295987957, 816504251, 964029366, 396316526, 427848532, 343756867, 875931463, 368614870, 425407799, 798541614, 448175878, 808622055, 6261405, 463936176, 715212044, 741668416, 662524720, 867534735, 392914339, 237627203, 870357035, 64539771, 558634677, 609564009, 350228661, 885103561, 825348228, 467557135, 273685866, 905078010, 387131968, 129883344, 154429411, 990802367, 499244034, 170780505, 29414727, 621689603, 277739329, 75534186, 624527703, 95916895, 515419177, 354064108, 805069009, 220195063, 67735268, 112523415, 922407073, 592361810, 374737716, 501167281, 697513369, 648299447, 180070958, 377412146, 962150069, 593107727, 116873117, 210157670, 804552617, 506047513, 578565229, 935630550, 912995536, 382797115, 183992634, 328359363, 685854195, 825252117, 850800045, 811468792, 812790678, 908910868, 506843680, 356065096, 239427724, 711571395, 583582385, 715453746, 904073257, 225496985, 767367741, 228803714, 499805592, 378580287, 345934695, 876096795, 204353121, 430907784, 783193701, 272289680, 631276965, 437085087, 410026256, 237748274, 842246934, 105255443, 152472313, 299100931, 363125357, 116935302, 6736630, 265080445, 6505868, 355054357, 713687872, 519153898, 57499428, 125704193, 707855665, 376449618, 66552371, 256199280, 287728803, 617904417, 85505749, 220164699, 542097359, 111679398, 278607329, 546644586, 134907096, 739172351, 604823266, 312562383, 910426043, 245324188, 332699775, 907252473, 296082014, 884002653, 915961653, 395359228, 745945522, 439259935, 632654648, 137902452, 350906026, 627102832, 66649423, 999298178, 453030555, 573887402, 715005957, 25982503, 591598335, 594612139, 557483521, 547730269, 485666592, 920843799, 358774395, 330263123, 769731487, 316446525, 481409930, 763013270, 925371204, 981028867, 164841236, 642528237, 425772449, 500332086, 597729612, 714430737, 883277778, 612213198, 314943190, 282209849, 12388557, 515250598, 139702693, 39059054, 762287529, 164696574, 554882576, 896192996, 99334758, 781556853, 91297158, 823443818, 668876709, 965895794, 611828703, 618247683, 117722137, 932383541, 942272978, 479960950, 882203269, 770173842, 873675823, 295969305, 400110068, 466210161, 568107042, 839524169, 228336, 100621009, 214801639, 612538659, 90078913, 929644239, 64315854, 710593123, 709370185, 532124911, 907943139, 458696722, 140112296, 229030223, 400699683, 24752364, 403013480, 364488938, 972951774, 295936097, 741791737, 181560610, 226729072, 27753805, 720311269, 117705850, 63768219, 380541073, 538276187, 533825662, 477238854, 460913851, 373852699, 291777784, 274910063, 793843200, 69765839, 880338808, 835453180, 891474859, 890652668, 929034213, 162580621, 947834921, 507135076, 154946964, 170811912, 706203180, 538421717, 843925244, 294192447, 768253911, 241972689, 497436004, 29200409, 980725397, 124277108, 157858142, 729182395, 515961809, 323678170, 532244903, 684374103, 135249258, 13649967, 935133118, 322801801, 811400550, 651258807, 502170439, 562602754, 439189458, 70975474, 513109917, 882728293, 490755878, 397773986, 849924468, 234796071, 628914932, 986012934, 418911290, 216210511, 460710630, 249516190, 35673358, 79010543, 151841084, 611259786, 169276481, 13333292, 809762781, 419966533, 694106731, 814417970, 603611899, 150468244, 78696099, 163822650, 845574316, 720412345, 353302483, 217634688, 630702260, 199250109, 364050889, 268529835, 654844258, 318989699, 48154229, 84843538, 298623644, 78503435, 735713568, 344569278, 919420997, 597778066, 133346338, 95974336, 807822601, 739348622, 249968053, 879057969, 981370738, 750605252, 621112330, 695745958, 603712474, 355611867, 899165510, 298961875, 772413497, 893020872, 338184728, 398971757, 827687159, 818788663, 865756594, 573749550, 194819840, 301966842, 766127204, 385844795, 42108248, 547080955, 614218136, 147305042, 543294153, 280615684, 600107625, 955334847, 81887934, 2747919, 654795877, 470778732, 913200005, 539071892, 57055490, 183013872, 696329593, 785034737, 707225615, 653932001, 998865087, 605374612, 295956085, 602348077, 402473829, 403365839, 500122178, 369769249, 658308812, 281992771, 801891169, 988865828, 11468210, 193245920, 95531170, 436102380, 50552070, 906222874, 351919074, 253309753, 839652276, 19438360, 201520021, 116078909, 972580276, 861195504, 711909346, 290490768, 536212560, 704722015, 690379215, 772084156, 671697096, 358355211, 743652179, 963731952, 320025863, 877233792, 260325575, 677943338, 75707957, 618053835, 552011365, 367753784, 720701009, 235004683, 730668142, 38684111, 775629035, 169444981, 521409860, 724377935, 448121513, 341679313, 53332428, 892896881, 513567684, 221301861, 751537657, 353763928, 27342636, 680745957, 632287441, 669232951, 475322774, 319285454, 885857379, 907345762, 338929319, 140759684, 962576389, 69600715, 492402494, 691217266, 358218315, 17241357, 731433315, 100169348, 254757126, 618469876, 549451202, 713544652, 220352458, 8443836, 556905295, 941909739, 539177260, 503135216, 694405441, 802441413, 566731459, 383988326, 36142944, 272739724, 540066416, 223245884, 255046865, 656250480, 401723232, 921687556, 118794424, 870482409, 881272218, 714103337, 704258482, 83153729, 382328447, 507759523, 992883496, 549743073, 838520433, 372842799, 365179952, 174144994, 335959257, 229984671, 146921221, 886831430, 878125842, 102804460, 938494183, 67796111, 446627792, 399169445, 876387298, 276624240, 62695644, 526651118, 890475611, 686009225, 549165215, 727969799, 817924712, 704735855, 137989947, 198412117, 239770193, 676685915, 333413070, 63421847, 343354510, 126073994, 196345710, 352882828, 82081414, 22893589, 410466461, 286179103, 449757442, 867827259, 151731009, 606735194, 980296773, 268259126, 150677143, 134881451, 879598730, 788568059, 728868910, 837385478, 570124080, 371312344, 889419846, 64068901, 102794964, 175456699, 367881664, 737731905, 755248306, 315003251, 866507713, 294993808, 798684984, 833801639, 75814469, 290597933, 43588121, 420750050, 606303656, 884888547, 552839635, 402987856, 831816940, 186448138, 554750212, 317066944, 656070957, 666514306, 580021958, 770345275, 565025434, 91236743, 478391685, 32073921, 894561025, 676488951, 13141959, 725173092, 437793855, 730753226, 220115550, 493308468, 765610104, 244258992, 674614338, 796056104, 695471400, 583516256, 281706944, 911261299, 859176611, 793939201, 925628364, 979529575, 638496391, 221426561, 612959602, 837148585, 953165810, 26455312, 109782014, 578437832, 424990170, 710936478, 793303533, 951183326, 703216647, 894396100, 852692643, 389988604, 441031505, 333911823, 387166072, 766755505, 344422502, 19103269, 790783721, 314578930, 469938744, 338226305, 94389966, 702357910, 397926786, 699394126, 851519487, 468453092, 334432556, 449597806, 134291730, 849456614, 520470783, 848358651, 244680543, 263550758, 888744222, 278588170, 744305928, 622692435, 784745983, 200196582, 908761904, 315984042, 82438423, 694733729, 692476486, 424637268, 264312579, 599433903, 571752224, 492813892, 469771634, 38516569, 743276106, 224710251, 411839419, 61694956, 479579803, 954934975, 94160672, 106235790, 731140031, 471591348, 31561419, 798527742, 169196452, 457888065, 494006551, 129538819, 578454227, 663844379, 106499078, 929904847, 18889698, 271980561, 598215212, 765472626, 69761408, 118503273, 922112780, 545913460, 557029302, 234522951, 75158031, 22799753, 474913430, 245625241, 565990999, 385203343, 196414830, 782604311, 442093657, 360199547, 522874059, 572494054, 850476855, 740555387, 85577323, 643580382, 420428708, 535087884, 394600088, 15045991, 253535858, 5734639, 701735051, 294930533, 945826916, 936417064, 788919336, 287308850, 187892313, 18813511, 466218126, 278661172, 491532670, 307114122, 659121972, 200859996, 413259513, 494398650, 243511295, 318071623, 867403214, 234217076, 688000251, 114715569, 948816241, 84008235, 46702211, 802500048, 604642853, 143172408, 447798614, 459334684, 223414599, 489368667, 465951815, 805741640, 190922190, 813360549, 364968873, 101600692, 880031173, 528035556, 727088214, 691987138, 359733254, 219731825, 415293566, 444525132, 752943444, 950686530, 62175404, 138133238, 490730010, 560119393, 764880025, 857140952, 100979172, 996129333, 520245293, 916390396, 167835338, 750160451, 455758377, 63790636, 386772227, 366130659, 362802958, 305702022, 356407472, 850467040, 973918362, 328090878, 33032251, 710153647, 540131182, 960838508, 267410315, 675854303, 511459280, 237287405, 45905539, 377750244, 441017123, 338746933, 203357928, 825867543, 849137773, 869110662, 678483108, 147053275, 717061925, 577821803, 57789959, 23245378, 256298231, 466613996, 262109814, 249459137, 809347037, 960653773, 716533059, 953166476, 668417152, 583307737, 107118571, 606322527, 79945305, 517922997, 995333290, 334816364, 929237782, 788192632, 890562069, 351748675, 72025065, 180788946, 284201268, 876937308, 248229030, 680170755, 652122322, 748093510, 140751265, 241206430, 695808540, 573986474, 98789534, 83120084, 2089375, 464014173, 870286683, 558441494, 655171238, 977375158, 489223637, 68239737, 838047143, 474360549, 145750561, 532057440, 836856358, 912052064, 517464772, 300858628, 747199756, 764121124, 485368657, 687037938, 590712650, 67364637, 282177200, 413983446, 893558135, 111816992, 641690308, 522321460, 478634200, 157524944, 598453252, 883961284, 707926493, 998620230, 701600498, 567012788, 307076720, 689271474, 489791025, 812173495, 595042386, 825300387, 914867479, 88320098, 508603012, 849981242, 529625895, 617303049, 410778154, 919039292, 528777389, 147107838, 451476478, 329430265, 179152187, 991537916, 259721921, 30725579, 156638568, 221065823, 123258382, 466809330, 675721186, 654458281, 917935848, 2501350, 487824988, 137608525, 180583273, 841081243, 353195777, 990478280, 363086965, 362025650, 646560007, 835057279, 365741411, 425361179, 483118497, 7297084, 328617414, 726190501, 363843180, 453736826, 914164413, 133286676, 51055289, 440174340, 391113226, 252742893, 187586623, 730633335, 278887981, 509273140, 761013086, 122206702, 820403876, 170852800, 905519835, 14814800, 552890772, 564476511, 949517229, 498819128, 224137622, 55191011, 622331414, 860206242, 848970515, 215587345, 514865100, 19873687, 247993841, 397312881, 810671406, 104648203, 500568155, 129785649, 702773058, 730019453, 514793763, 791882056, 831294089, 328840364, 882532858, 757335659, 561655368, 96667185, 488464417, 74351228, 148803846, 447567628, 817874486, 49635711, 496694043, 510020364, 735031401, 165904811, 141825609, 159863657, 638689983, 156380597, 143386032, 295924266, 870087431, 804447504, 364237224, 134495481, 436843912, 887449277, 138889158, 748694274, 981080723, 61694980, 866979335, 303997963, 869885278, 443952662, 456479092, 20892427, 577972441, 158853840, 805130207, 323797792, 202115262, 490529690, 381121965, 305945295, 929504194, 717062217, 988449296, 372506125, 741243777, 721686599, 889890304, 711709004, 231026847, 441893187, 268120378, 55922620, 711167874, 353475877, 453193027, 601442182, 854960559, 261451592, 496569580, 478554734, 156338588, 659608498, 923386208, 375940194, 307712871, 950152921, 936073298, 874387945, 335685360, 271856565, 423952067, 541057496, 703421423, 901406470, 336609097, 107736742, 623280355, 848030477, 990398051, 212396201, 184262891, 764497749, 871975504, 982292964, 544678100, 969717526, 425596513, 601815154, 154765169, 308614979, 388755423, 515351435, 976891529, 284028071, 174932130, 312297934, 523524250, 878131143, 586975156, 928370051, 148169160, 736702034, 491539511, 571048316, 423708532, 112567454, 612816237, 582291067, 41134564, 711035860, 709530716, 153643540, 736237554, 934205359, 975200079, 865996160, 534254348, 198340914, 324833574, 809649940, 218973778, 869958542, 750146648, 135308274, 110280718, 83742756, 670996563, 271086450, 406238904, 857790192, 725379204, 716576109, 673502050, 587633654, 796736617, 174190186, 493699056, 251581732, 469175084, 25342022, 623866797, 569038630, 207485730, 375652169, 752697540, 234715117, 323437176, 410796617, 361356226, 736363402, 299518676, 197874614, 503787765, 61455137, 390349056, 145002462, 215720366, 672382857, 322310446, 691775928, 674057657, 758564736, 113538604, 353447164, 548566, 898786055, 255429398, 49729780, 467742071, 595819500, 118042979, 337513913, 799415981, 93481136, 613185864, 47577155, 43213085, 603660434, 374358414, 646671790, 700093662, 995520039, 240378661, 875346997, 878857823, 394199585, 777019337, 447972869, 581666745, 400704068, 489564199, 762206331, 370621313, 116325443, 693826907, 775219851, 916982045, 477372139, 773954759, 46766475, 7688727, 663217052, 498439308, 977613980, 637951759, 960620325, 564127332, 205734939, 752641647, 716820303, 692286126, 199511703, 544489476, 915319053, 361230820, 456059264, 366121263, 136556931, 189317911, 52493483, 547372615, 7982484, 621407868, 340311774, 528553563, 751682285, 570866391, 339458038, 591758922, 919637246, 679804265, 23241301, 346693728, 516570840, 477091419, 411303774, 452666387, 739632321, 126866175, 22757971, 345302826, 434406224, 319505581, 540228587, 511587216, 415733425, 57784073, 482057849, 829989174, 34987267, 520633606, 322509909, 110893328, 101885715, 409293218, 543860315, 488196498, 252859888, 314036360, 353744305, 812218121, 30904105, 509471035, 431292614, 689547841, 295411759, 825936503, 674348338, 942975259, 101062333, 343242008, 14889005, 656808801, 183107748, 445055887, 460838593, 634682472, 11100052, 776076142, 622323090, 974548709, 367115090, 91334971, 216923168, 511953120, 832545599, 980323357, 686525259, 491909056, 755528788, 758535861, 36506318, 731669526, 826563897, 665763894, 923052300, 867885211, 356159220, 969756173, 550209870, 387791950, 685497574, 463907196, 598627613, 384177423, 817120199, 914254848, 86933540, 172537262, 462217938, 24239915, 696596836, 585731285, 124539339, 737022556, 438374133, 673256211, 526874289, 932950713, 478877452, 882109015, 390788387, 113949563, 293140258, 948539816, 314724867, 707783293, 838489810, 60609262, 953654584, 298396433, 940304024, 413274269, 681889808, 376109379, 522210845, 31852759, 330949064, 580580861, 822356527, 286785418, 634312638, 884821161, 378728195, 898966056, 409888696, 921582608, 982207136, 926951242, 634927867, 624471111, 492759889, 748771210, 56197026, 737340636, 592098827, 50156383, 853828019, 793537903, 721816470, 337807698, 203197929, 391293454, 499414079, 320113871, 222454629, 44302023, 74780413, 813728518, 417780879, 420103863, 414961294, 545329351, 891044083, 164302490, 830578095, 637938186, 253196159, 64594004, 192094522, 166660434, 126137201, 207963699, 146574965, 840937579, 77305848, 101630742, 230052449, 828498041, 639896228, 625642933, 812820350, 159593642, 58657240, 222601483, 271273317, 891730255, 504857464, 692506984, 431809916, 653596507, 796969120, 416018570, 40958645, 50955590, 348279520, 944562442, 89882194, 66497614, 838312273, 240778853, 414431516, 235129152, 408233954, 344562972, 417694244, 743301835, 537061523, 243385647, 918810022, 393975841, 327984360, 353520852, 158472718, 381512905, 723666210, 380829988, 334342550, 802853962, 275333922, 667465579, 898469454, 621802517, 189777000, 42251344, 771065541, 726131757, 957662419, 179845593, 966643983, 538967706, 875368079, 945507236, 473307275, 258971216, 807624652, 767468338, 767810694, 744971635, 177496321, 724678333, 460327150, 480868443, 77018779, 710922686, 27361279, 902651034, 789866667, 223009410, 368144779, 242199308, 790106729, 190262615, 393561607, 765950455, 784967487, 274137914, 742758242, 861502071, 482915836, 961278815, 280788900, 118254935, 950507472, 623137360, 755287687, 92934145, 107640430, 918016184, 156846643, 286804270, 341092369, 763318889, 925233961, 139007559, 938446133, 913545173, 367861093, 871629079, 286743766, 553271460, 174877034, 940773927, 293462204, 865772012, 788618003, 205048891, 91078265, 606464953, 620231314, 58645034, 549315663, 940629030, 475057097, 967192666, 782455165, 751644815, 487487490, 601675265, 360220716, 316222070, 394226646, 3210534, 946592750, 218179781, 65160559, 65628412, 746903756, 550290164, 171499823, 960511466, 945803222, 169460176, 676420844, 482714546, 449046701, 964546437, 277505057, 462409143, 178172474, 799760171, 253447786, 571777957, 470993173, 107746870, 327363162, 936501679, 896114752, 105208199, 421345091, 952551939, 363586302, 250613880, 491650565, 635766737, 13097555, 640489492, 320121715, 107549380, 727438304, 97213428, 561215854, 694489047, 273228591, 629644982, 395765621, 334457056, 727488271, 533047942, 808390709, 371070084, 741383509, 859564457, 421727850, 710964673, 699375472, 886599174, 875128915, 451531736, 275653812, 598359591, 46140876, 68608050, 218768792, 460705982, 556917088, 927850518, 401573802, 963799643, 979897233, 378721919, 437133244, 534515302, 946147321, 212433199, 160002603, 414545798, 761101363, 477489175, 999727331, 710033229, 351680479, 604719358, 211698211, 829984421, 874103657, 582021546, 975094811, 4740157, 144570955, 510312735, 99634150, 296768382, 608215342, 689543377, 98200433, 383836935, 118740394, 925499078, 543914190, 475730089, 508796972, 194253472, 919177964, 334643470, 455716078, 945779528, 989514669, 552182155, 271048121, 509864599, 976802849, 81710821, 207380400, 885007432, 675301491, 321073390, 674531875, 800863340, 112494342, 475016545, 335218136, 942060993, 866070331, 633279033, 573493407, 586871834, 131004653, 236311251, 903014542, 997411283, 604584532, 527108135, 964305591, 202342221, 267093537, 570668787, 531078620, 710034979, 460702384, 712318325, 430571533, 489959379, 456072413, 223180614, 492839719, 160724045, 248633353, 704095579, 199523772, 876167844, 759720698, 295614113, 95502646, 165897438, 594614139, 324908488, 790836192, 714566109, 430425813, 373396709, 951323510, 441290302, 180106632, 394368575, 746899524, 649455162, 568971727, 49405270, 393088868, 795246665, 312414381, 214563476, 346816129, 971039961, 907250036, 183293785, 638750158, 935364085, 441342776, 391913030, 534857485, 409729413, 643851925, 329034015, 407931714, 890551706, 440468596, 726631687, 766450846, 464320765, 207573782, 282464062, 787888479, 549762614, 772465857, 517053909, 594568524, 787088836, 350775335, 437133515, 363447050, 509535512, 4846866, 455431013, 628262804, 842629535, 837893049, 70705782, 17726256, 246744894, 890510357, 380445426, 831768892, 389531756, 78725180, 376122210, 329814230, 515370187, 574732507, 407184038, 15452071, 86689135, 724747350, 514415724, 475127827, 250755582, 586017799, 280243887, 412146834, 279336786, 396352788, 264394113, 52404501, 125077957, 888500881, 554266952, 86967590, 437422430, 202372390, 966231439, 213705124, 319654912, 327706227, 604516154, 838729579, 244443587, 691974396, 670229964, 419206891, 5257885, 716775423, 278654957, 492538897, 11616702, 646950986, 306026643, 833796337, 78834178, 275922590, 685293512, 101203566, 623763509, 656078816, 945604774, 324717775, 192790388, 606547432, 816500784, 414238241, 58806450, 745968573, 310554062, 972523071, 438568065, 189445485, 960001260, 460803121, 51605253, 687345870, 404736964, 670252702, 370607189, 996543775, 692270390, 483658090, 512498805, 152887874, 900798326, 321902214, 232558689, 812792038, 89627325, 385482292, 85511775, 114980633, 906256203, 132176164, 113938045, 860499716, 610603742, 627199142, 77262047, 251651528, 736521679, 167738946, 281319374, 226793959, 873959147, 950424104, 287498818, 699383203, 678933526, 452903220, 805152685, 860641963, 79880703, 620991139, 222909835, 85240261, 664591172, 153476076, 656403564, 171552097, 531498953, 709326521, 556667839, 956693548, 309369435, 273469420, 363742884, 697635661, 750181230, 600174547, 790602406, 83903616, 271661984, 794607831, 419228654, 87801484, 367167886, 88560573, 765286104, 951006428, 750250006, 896580675, 160985003, 996341938, 686112700, 496608652, 8826906, 970375031, 283690876, 588602869, 551235124, 124407441, 122553690, 380714466, 903534647, 250454724, 331601977, 397264783, 894642660, 697242661, 325271889, 176018730, 524552932, 209331090, 17930224, 696956093, 581641945, 71616876, 655056447, 326755790, 904206703, 333932104, 810098296, 51872570, 691086075, 786154701, 500477300, 774379189, 932139088, 808276112, 46281558, 882020616, 642937407, 78626763, 744976438, 745900487, 840621754, 293141714, 406778811, 512339028, 982985545, 200090743, 96379688, 731892731, 194786370, 587797329, 215409805, 448536756, 574049504, 994450246, 130062120, 452197417, 853728347, 478142793, 245992732, 990418743, 89912813, 530916549, 444842591, 10607588, 692738728, 617786191, 262912104, 966519363, 683722786, 857540414, 116745736, 873227363, 77067215, 176555643, 68957746, 43363488, 533182106, 910732883, 152380108, 993295616, 340926397, 970676595, 308785303, 62200157, 273981489, 832809292, 729118812, 699676301, 818970131, 628088803, 235687281, 220074142, 998712515, 979946995, 3490108, 15691038, 220726452, 936613564, 604889399, 600492828, 83126672, 131431487, 723542994, 333587942, 250747279, 317759186, 699894415, 741249907, 7101324, 110266899, 198449991, 26216686, 353232706, 802104277, 408746362, 665417824, 888368646, 565370168, 430576891, 957735373, 589780883, 799338300, 10920922, 900024492, 338080518, 70219947, 609907255, 841878633, 414994208, 236555139, 352814288, 178796140, 602748240, 80664841, 737010978, 286608976, 147147970, 18477242, 868938670, 12924669, 134576177, 644507763, 447517763, 208712927, 802536461, 719573433, 129481234, 298151133, 302976809, 17764986, 872842257, 192362484, 88605057, 611210823, 868691884, 862020191, 445825009, 749126389, 826650661, 623427745, 144373772, 96987882, 328114637, 455886080, 118534529, 224522919, 1826663, 720845079, 96064957, 796380633, 159885838, 742949386, 504235461, 883292996, 991983004, 729246603, 807137342, 128814960, 733948180, 481492365, 899445598, 255846118, 190089810, 327434115, 912920518, 988080331, 498448004, 553641460, 640688024, 252451323, 342240180, 135018369, 979439393, 727039561, 174193302, 66274203, 457837276, 716730170, 261296156, 144719489, 573831035, 434965159, 765425199, 114748479, 297912773, 797611702, 918896316, 884540955, 444936329, 706027557, 528667314, 753222655, 384721590, 431614072, 758575995, 303344420, 577720745, 382372457, 264857816, 964538069, 942767103, 61569185, 785097010, 521691169, 489780864, 27067643, 275636751, 846000150, 599164211, 33967024, 274318063, 53917069, 454942982, 928280442, 892727017, 583311796, 951639658, 970330026, 242301121, 350184455, 689276298, 551191919, 286150645, 248465465, 73584682, 693620621, 914895403, 571499980, 860297805, 60282498, 919630150, 490457567, 561589717, 579460503, 679088169, 152190912, 979184344, 182649412, 20770295, 48782943, 25201019, 442057952, 31044094, 114676915, 747894309, 946704711, 310304449, 601324803, 152276689, 81019229, 373384289, 420645317, 758387642, 95166071, 590866597, 477548481, 901198885, 128453774, 74144784, 278235862, 263372211, 217763683, 633538336, 647670257, 284268114, 880933233, 837201417, 385173529, 41347500, 450044983, 621644040, 14441178, 702517056, 498978326, 817540745, 503613053, 14021254, 829559619, 174636142, 605466876, 213804699, 550740383, 772428266, 386703427, 659200105, 919826246, 854732201, 871762476, 141204776, 171895765, 136625246, 480685906, 202583237, 883935275, 692888472, 369179280, 749021910, 686247880, 54499796, 215419337, 652954969, 820599356, 857397439, 940555642, 938980318, 198806725, 947205582, 234537643, 201980654, 22174187, 182489994, 401980344, 879057254, 974027179, 615545365, 979436321, 387729601, 11969829, 460377333, 662590116, 992785026, 791742096, 927817366, 6327010, 562716420, 568834003, 676326927, 739534038, 503739630, 829851770, 508235597, 642629603, 937514799, 710207569, 812799516, 637873812, 866020060, 373265106, 139223466, 621652546, 677221261, 95689412, 242545922, 334053200, 872322489, 493210994, 89945409, 28060643, 768300917, 719548519, 747111158, 249961649, 257818060, 625722808, 135659885, 931171511, 361150126, 5563793, 512217956, 547780113, 257468888, 424163016, 365800372, 908277773, 753044111, 813146384, 559377887, 512579304, 989702247, 785076417, 515022706, 589090973, 171359496, 667814595, 334432268, 688173536, 858095229, 372273614, 587373130, 90861762, 458009342, 253190700, 94037520, 996229644, 723908746, 461234802, 230100913, 444083252, 962184442, 231841712, 320239636, 457564113, 527113402, 118414292, 328252525, 389066051, 277832689, 466288003, 690910597, 673658704, 123684924, 776259973, 573511155, 658427104, 813136143, 939539837, 206945640, 894659705, 64084700, 186565026, 123773533, 42194133, 859847116, 120090172, 892486754, 429268798, 618247805, 420722218, 998943769, 416689395, 806586082, 232197893, 200003513, 438346326, 170382569, 459671528, 540467873, 595480241, 907598149, 967127074, 895834117, 893329952, 741563567, 490928162, 947659008, 490034792, 713815386, 926922099, 57181714, 142199882, 897840179, 776051490, 612466997, 436561879, 542987473, 765874581, 551321275, 258428046, 656593313, 62175677, 160664063, 290961152, 661063175, 486908487, 729879131, 407468266, 448901953, 383788019, 528651108, 635168523, 162589619, 795175358, 920847486, 894021833, 840642003, 28089638, 132424694, 580531444, 587383053, 806448356, 321869756, 105519650, 623603208, 601056231, 409303935, 942466086, 118505096, 756871084, 21972320, 514268708, 74609495, 431099325, 773043852, 770479134, 779244966, 685227747, 708253984, 120537723, 783985651, 205040376, 731229226, 541984320, 793670003, 562720839, 702001124, 748616488, 245323642, 515204547, 564160806, 326778203, 595361646, 416163812, 330638170, 134894272, 989638968, 637503943, 327144227, 829009601, 735845097, 338830524, 873074509, 783254491, 17184112, 625948964, 392497500, 552916, 992889233, 782431309, 142488919, 985030505, 819834659, 538610339, 847486583, 734334921, 667225420, 475892643, 50645425, 110862471, 563485708, 309911318, 869610514, 553262445, 336772126, 585160625, 818985898, 124107016, 568214004, 664239993, 400916289, 993275698, 457194639, 685678108, 842283352, 308692554, 485128153, 735747250, 12352104, 150792695, 942063233, 622828732, 517373604, 215478236, 907742333, 573271340, 836591734, 672421477, 638182020, 420266803, 228283280, 850492062, 763003834, 818561254, 988007863, 90772248, 632535366, 759250788, 221969688, 608830114, 735673136, 547861170, 908972157, 665387572, 353620077, 909838188, 615033367, 979541354, 648510681, 696870704, 602249994, 826617657, 323010723, 701015038, 557837186, 5958245, 463567488, 684893206, 148854794, 976853814, 395563000, 81091298, 838431121, 730477998, 187423796, 577528840, 210082301, 521577004, 767016397, 825505242, 44561195, 34972184, 760482563, 805331970, 413748777, 255754969, 13424725, 70677732, 217636024, 602186127, 68604795, 543123306, 160448209, 34812457, 999084309, 212026390, 219257631, 424351852, 758024195, 312120147, 677003322, 578474208, 247338979, 550211971, 84432810, 203677930, 860600738, 567303627, 451781699, 706680208, 857369988, 932869413, 155909843, 305466478, 509927770, 376269316, 891610453, 302290875, 159325679, 609381920, 433908436, 703787323, 80652248, 461303672, 382350539, 198532756, 340779313, 613266691, 652320148, 566342044, 466749003, 427224375, 816378628, 404914876, 134747644, 1195043, 254040569, 506720491, 411777647, 112169828, 657248069, 720437222, 716949443, 578388558, 733946110, 231637763, 432933337, 158634991, 776923951, 665068553, 417020433, 327806294, 74569036, 813093763, 522108277, 263440200, 854456461, 408331474, 468929862, 781946183, 344566907, 943249447, 382463585, 7508656, 989784308, 690671871, 361007644, 26503230, 567742526, 522728803, 746410191, 575905060, 598124512, 199451237, 515769403, 714375902, 446009916, 321965390, 58301803, 880793239, 821285251, 199698273, 194845190, 161252160, 816478737, 79170840, 9787340, 618781362, 236626673, 218119709, 953034152, 575512017, 988641404, 628532128, 321823349, 838693197, 476363826, 388910715, 883486156, 378350474, 803551173, 182438749, 875245938, 282180177, 942753946, 635288468, 584522905, 137996785, 620609370, 362003347, 83483065, 455398863, 284359821, 963934881, 831110359, 820366887, 782299294, 978147958, 951104408, 316807300, 164508676, 299594126, 554390339, 442284353, 994913468, 505022743, 788510391, 825305081, 679894914, 193079875, 165535837, 452144215, 432037650, 360379353, 829435548, 144771429, 36241074, 65127927, 290250554, 719302089, 369226062, 370077669, 918694442, 713292299, 89560871, 430788487, 483954625, 747727825, 192940588, 322755190, 763540863, 113609289, 824759770, 130160680, 79102378, 159966509, 786105129, 754575887, 461190313, 403816879, 525426061, 823025203, 535915724, 392078547, 462693556, 347318545, 175312774, 170701780, 485307946, 780315636, 972989398, 244211118, 828320985, 569897480, 503212283, 143450910, 271486393, 273205956, 335256190, 74904289, 539447684, 710812217, 988962791, 424839011, 816015234, 690468240, 538362184, 881222, 976602359, 540778546, 105493488, 833275471, 527988660, 759542395, 316140533, 836819713, 629271360, 897338862, 656380836, 500715733, 716170082, 99899699, 724874175, 691670599, 24112102, 280194474, 302781152, 918322274, 651000118, 868764976, 761020043, 562518786, 553814794, 880054413, 481757401, 371079139, 77656159, 537790066, 460007765, 89536263, 401322694, 969487399, 18457128, 657979782, 126827796, 986721927, 425651283, 349259507, 945824777, 760094238, 870000491, 576392845, 958774217, 112132705, 921828782, 791297740, 625997400, 541833680, 939700277, 756885209, 815523198, 506106250, 419852744, 713355596, 115496383, 460961793, 591268061, 599074306, 684010359, 935833175, 188159853, 862104222, 679935343, 64880697, 168213929, 890158503, 828873259, 450541962, 370708712, 352480658, 876191254, 449182939, 985588741, 798393941, 829490351, 324510479, 981169144, 737264075, 345635011, 811006440, 195923428, 48376185, 985303652, 138396208, 335927965, 956061067, 792647985, 161015997, 765750898, 847721856, 73626005, 513276106, 250181343, 528945174, 727531954, 712140924, 390069872, 411044648, 966103977, 499852931, 971007026, 436459433, 998234202, 476754591, 114566706, 57010266, 770658010, 340732667, 176462073, 611588798, 346561449, 630818369, 303687536, 518546296, 474000922, 932714083, 546930667, 850529175, 910353142, 52572666, 624205161, 980007995, 9761075, 80605263, 26910544, 409156881, 182193731, 698116968, 759543734, 789799629, 776567557, 693482369, 90712193, 893630038, 719040269, 691810755, 820435502, 794587458, 470211536, 13324548, 894912673, 446097096, 683864252, 656502542, 398758351, 591959939, 527755342, 715494994, 803643537, 612477901, 454439190, 258189423, 595945734, 252150095, 409930192, 821339678, 340973019, 683821424, 632879990, 161752397, 322824838, 529136272, 84227620, 954213581, 309051264, 868056712, 576185414, 814035301, 895097837, 274734646, 909603204, 951213846, 99745973, 685968232, 326857618, 261551513, 275421353, 353715955, 379019012, 56222117, 973522155, 581924708, 67195162, 799981940, 403459263, 935195606, 257897278, 50469948, 21016063, 189018368, 522123657, 335461431, 33769908, 541149454, 781742771, 261805545, 928969380, 282417377, 222763139, 332806977, 105759304, 530978426, 648871779, 609398129, 232335442, 414678167, 20111297, 927850811, 37035487, 318771550, 550638639, 219458922, 946115662, 158663371, 750045243, 498790691, 149133215, 702265613, 594340071, 558966539, 195549741, 863031081, 5007310, 64154074, 107131672, 920493435, 567339417, 941647010, 444635666, 442823492, 454544830, 532768252, 849906184, 186171153, 566881898, 122590559, 584914347, 772636719, 121638692, 189121256, 815473832, 534279914, 557020095, 237531843, 765644225, 752287640, 693633247, 599927388, 959562466, 708335321, 369601862, 188121978, 799576681, 558308849, 113788713, 907580402, 773993752, 272549632, 842690798, 267959223, 755472497, 789820620, 26361818, 43860648, 160481998, 209012762, 829219237, 315437588, 914233071, 877318124, 54420481, 694579096, 696149548, 733300822, 451662301, 571227951, 97067078, 35424107, 868321812, 134708083, 451790745, 810347592, 850656055, 395850573, 407380795, 303365359, 449823115, 369070052, 313946831, 866017326, 912157599, 929233112, 626668676, 695889064, 431225309, 509769357, 19930167, 719013341, 712215110, 933343372, 57981427, 887596285, 590807009, 874182380, 120507255, 198543410, 369743752, 793799077, 680857854, 515581560, 319201048, 452483529, 692744351, 521835990, 477275380, 683024723, 692314022, 696934813, 534050163, 10391463, 394129242, 534482876, 237642900, 65598493, 407686512, 336217822, 820314054, 917810023, 928732418, 901312913, 757845187, 221084558, 40296587, 860864457, 105346502, 92159415, 756191461, 801453106, 577137553, 168803970, 681665839, 583282880, 381321747, 942465428, 654726895, 852572876, 320333453, 186370985, 720771289, 518552735, 866537027, 949924042, 106665417, 213436261, 95615208, 942713181, 766428630, 850920970, 105109854, 99022906, 301501451, 714567423, 400326758, 614744733, 980671531, 48368283, 298672952, 493589886, 632120875, 532329520, 840700238, 414783676, 917358182, 13849266, 263339269, 291998584, 587956421, 922004876, 279886412, 380013437, 579059391, 154422599, 581712079, 455895913, 384364458, 214214516, 526080888, 836105044, 741228629, 486387969, 964304991, 793132515, 516331387, 650660843, 582200669, 866885503, 488093538, 875492075, 404850934, 268927179, 864990673, 254635178, 718145272, 684996444, 5570375, 711144327, 367193702, 326705053, 265697343, 110996427, 364004741, 982521479, 574983515, 292950817, 200599756, 850309423, 120247264, 272031696, 378958075, 444616971, 375238118, 592889182, 522545701, 384792339, 829135181, 652570564, 542500371, 21490391, 518994475, 769803130, 667929838, 831026070, 565356333, 814778043, 980514928, 534810970, 235683970, 770711496, 456959338, 130580535, 429913060, 693146237, 893596359, 150237832, 623901780, 24955420, 758677244, 683826033, 32751933, 687246890, 920376141, 44059763, 206189172, 779755072, 228125848, 284545518, 36130352, 79834813, 134926384, 574476397, 376040, 803880556, 517389210, 417325092, 930129493, 716372089, 296779740, 149961999, 440722102, 414551794, 171358789, 602693270, 790390075, 415172446, 972649159, 507123138, 260330617, 955697677, 688498836, 850768931, 557613802, 25046253, 851182505, 621029551, 296243037, 677427431, 556619846, 876023627, 772622608, 450392159, 681370067, 772211310, 348639884, 714744090, 550373688, 602190662, 676201832, 738276061, 387901645, 863939457, 722451716, 710114627, 31969674, 920513079, 435301114, 217673533, 418524233, 810701192, 587687584, 980744715, 511567964, 616381604, 364715966, 680216488, 303798206, 532614425, 172092012, 682040294, 237201707, 881673581, 857871287, 603015009, 61255080, 239244457, 990293944, 100161687, 553362148, 230402228, 467361363, 772524061, 926680815, 483883214, 288761756, 716483088, 209609777, 765826347, 613482686, 214801193, 714647210, 566757887, 646227272, 842767620, 255749895, 277754928, 36853066, 91855199, 453776434, 62838713, 27191314, 279230930, 198844828, 17278153, 295090422, 190912569, 138227180, 222506206, 631978198, 117158330, 527118820, 817119896, 128970895, 524671221, 405557394, 246431438, 68704571, 157679935, 294523339, 790981188, 918651776, 368322397, 318010189, 410575622, 494304015, 179940090, 962044655, 45997876, 626779330, 190966194, 787888528, 492513935, 161787803, 783034882, 672583634, 545035874, 49430096, 944663250, 446660749, 457088655, 778540426, 252473221, 965149368, 343922219, 649287125, 527240620, 678181820, 11187082, 98777536, 1853308, 66250875, 787817634, 272576328, 89948356, 484008708, 582583500, 410266943, 712476335, 647629680, 221551989, 886942561, 1908450, 47511267, 477427936, 465791489, 17483474, 927474836, 48084365, 774095145, 990902171, 120638760, 964482180, 379090601, 537122549, 752402597, 491966041, 23687209, 854507954, 457473794, 839894733, 530652497, 453358242, 576077582, 981971866, 711674169, 709430531, 647943727, 876611044, 728285217, 769163815, 400278290, 672312379, 674840669, 7769616, 560755884, 750556615, 38142945, 183556208, 299735398, 338327322, 697786936, 120928551, 891003589, 397271951, 681917588, 692196926, 25877270, 273656862, 116960535, 458749063, 878868851, 430203760, 662683356, 454806847, 55101326, 496828187, 123297613, 932639343, 423439826, 633306286, 398223617, 396180473, 507505188, 197958818, 243389366, 213396199, 787293909, 147716951, 361558144, 875950600, 354906796, 477636859, 942837670, 997398633, 95492024, 991148588, 431342359, 881836049, 71826532, 162990613, 657452404, 431709824, 242912233, 252904222, 364381958, 121973730, 83404069, 109387824, 754196893, 191707321, 168411420, 773641118, 70798162, 951321748, 684821727, 960172075, 818796622, 88533058, 282885094, 965336393, 176141487, 538615162, 467144579, 73086666, 750017352, 211936837, 896021806, 707836500, 506590047, 194455955, 899906043, 159793296, 997725941, 129574686, 465632353, 697758541, 917637653, 387399335, 492050452, 51229230, 756731134, 750169813, 879832987, 573913645, 161808320, 741320087, 357152118, 157022401, 794940243, 608153429, 256945643, 260971152, 795580573, 910631662, 712387323, 185674301, 30121646, 435139389, 415688177, 420141667, 464634167, 19260635, 466547109, 835771343, 141465533, 975700784, 202588411, 72638826, 164466351, 289459109, 36182903, 239704823, 268832240, 513590080, 178862716, 346206457, 586663822, 925131742, 922031809, 749573404, 468022716, 340437215, 613034473, 393853485, 513881430, 124189816, 131889078, 776918727, 20664858, 583314185, 621842208, 910576063, 670711456, 2425344, 558424037, 524071743, 836858853, 550095029, 959510419, 963998613, 478407602, 375298539, 141396226, 611854734, 963346213, 23637685, 653168416, 546975078, 454441760, 50526581, 11428745, 147046226, 819971836, 900331567, 76561069, 290606880, 546556240, 262098571, 218773575, 114612974, 238097497, 880247328, 222576960, 28469507, 961938469, 963840243, 180693394, 666680659, 920797884, 320104563, 773556184, 159590040, 94814384, 161473392, 363258482, 197517919, 509151349, 50874660, 663783919, 389081299, 669702026, 925911412, 561245876, 429387045, 269185631, 651559625, 799174400, 109253474, 151968315, 336423044, 386077688, 750802971, 321479651, 771928877, 619659976, 964687903, 378728122, 821210743, 832171502, 227465199, 956208380, 889280186, 925375711, 637628731, 811604675, 739216468, 592638189, 82784139, 72423201, 982402109, 950684214, 576605466, 920291954, 250067481, 522137782, 954283141, 378282026, 448699971, 293712929, 297152112, 215495054, 967862844, 100749604, 903656717, 897703369, 227835547, 124823164, 57165720, 767921770, 583391086, 501694421, 405280872, 745979612, 923961563, 599545999, 351012334, 431900066, 250761463, 713826088, 666832423, 710653107, 88057938, 501332861, 965970810, 669021345, 487829654, 671122194, 682597637, 871773594, 287848249, 562071499, 243531239, 152705970, 151083337, 489414456, 193474326, 360231907, 603825675, 303065727, 41292205, 358000022, 451632717, 83805122, 385690458, 699783620, 69932015, 855092591, 20254903, 742564359, 338812379, 172158740, 759664004, 672626956, 50142697, 646254061, 35228171, 221773893, 781911810, 315018347, 886535474, 388040960, 853349158, 683127546, 981100150, 407021009, 215143467, 535800583, 612520821, 391949832, 457780795, 175988719, 315110011, 990783967, 431382494, 984695635, 525377962, 200421864, 434952292, 786539298, 214783351, 24874876, 133307338, 951434448, 693124599, 903258294, 782523497, 505797524, 861039022, 355172498, 953289880, 986157939, 989724246, 239367964, 530717691, 513400187, 12035253, 38216372, 223460404, 336324263, 503072370, 541553706, 941371157, 475589941, 367352522, 385823355, 805385408, 375096645, 135453609, 958226597, 387881677, 297222332, 762577877, 762770115, 118226204, 373872526, 543209616, 159643874, 666727030, 686282412, 591249697, 910669556, 16963229, 341426900, 861407152, 578201471, 423169514, 72169917, 39626743, 435326638, 423199487, 868213901, 973877706, 679035267, 219246534, 304668370, 58083992, 37677382, 756457231, 329300322, 842023599, 580183047, 485047813, 762818917, 137593555, 222921479, 635974814, 268734612, 235944276, 352126652, 360242133, 593407356, 853867255, 469076413, 815976645, 96646356, 418143840, 134095206, 265380985, 936173095, 944455058, 557789200, 277805037, 677819802, 576669692, 268538534, 828908530, 820735870, 951345774, 711794447, 924076096, 657342834, 425890710, 798682365, 689248851, 168459894, 823675503, 816866314, 474869241, 188643250, 960771615, 862606025, 961085006, 221609891, 732423791, 948028385, 435989822, 205319360, 316459031, 753597891, 529056227, 892759962, 274250633, 547499987, 445147485, 506216019, 736772584, 405508332, 889663256, 572848579, 204831516, 547465007, 818171649, 506552791, 877181749, 338670786, 241179195, 940416745, 406903895, 478685898, 893994740, 62090731, 359866286, 479271962, 995542471, 524526743, 330553397, 88160527, 864435074, 531384718, 904272563, 272099224, 232428325, 771496781, 611752309, 482829362, 626532252, 469547488, 406151417, 673991492, 982230677, 110608144, 305472707, 202102722, 911354329, 566510721, 978366584, 91536627, 421495913, 917759132, 19213889, 90189152, 798543597, 634182145, 139064302, 437464008, 721618959, 17823511, 847061648, 550786224, 606080999, 275890052, 585065939, 227637404, 740433782, 313011158, 328908951, 231901691, 225019884, 452726941, 954848383, 652630139, 819300286, 7058772, 516399762, 922568409, 287528309, 697258359, 106122212, 365031094, 762031022, 97889283, 415494804, 183334472, 891144412, 970585419, 401652716, 544445400, 522072845, 470375412, 829602586, 620215909, 316415776, 393208198, 451001485, 990746608, 645083613, 376611177, 667407726, 55746839, 362437643, 471089962, 43989236, 732120110, 778905674, 677648772, 41627677, 323274092, 387118039, 379081206, 970998182, 131889231, 248507290, 285301826, 755715978, 197416720, 404595113, 173096886, 399637131, 263236646, 467806592, 285387327, 298170886, 617944894, 512707466, 754372474, 117692189, 223989691, 62903061, 479605065, 163368677, 346895642, 133812726, 845714434, 495932465, 658035517, 207747278, 599301397, 912863798, 92202870, 285404463, 592803951, 781361083, 962093247, 583853499, 218237798, 386949128, 343895607, 971697754, 866484826, 640802299, 80197980, 313726857, 773149992, 605161329, 455638442, 428265953, 892777295, 982527498, 40791588, 560570515, 436600933, 478219144, 438144611, 422825526, 259795103, 857629820, 212850592, 594068238, 843254073, 973752375, 560681021, 239828553, 900366410, 885318507, 483605019, 215637614, 324569995, 332406731, 767896754, 922009278, 296986916, 681109404, 800656703, 728333631, 52585276, 551728994, 627789000, 784744640, 544897026, 383860120, 759196839, 828596683, 377137115, 360170936, 768115968, 174490284, 395300266, 485846210, 578501760, 909874985, 678280865, 618472277, 676364952, 933757206, 399741200, 243305405, 64278304, 366454816, 664749865, 293952296, 968895913, 813469551, 60181934, 666293359, 823010485, 937025608, 264627387, 580768287, 377638609, 880875020, 172389997, 817456019, 546280000, 72670078, 263214339, 188906769, 312017742, 18775803, 174065663, 460119932, 120839350, 674939293, 767743814, 26923210, 967748308, 112760854, 355835935, 447716699, 595213499, 545196428, 389926502, 236496079, 613053500, 875552527, 645546339, 949719764, 465665286, 354090667, 173640591, 216017586, 235896169, 590336193, 525064112, 136490918, 265430775, 989989389, 973747529, 346285065, 852969387, 689503931, 670635492, 629906259, 938176303, 96110328, 486024168, 2206499, 700928398, 885045157, 833889824, 133978281, 7923685, 128263291, 701498533, 9354286, 50491603, 523571295, 555424423, 970335891, 90614422, 287003499, 335702805, 311852763, 551623285, 43720590, 25487458, 463866267, 966848903, 553844800, 10055852, 697504952, 740841029, 943253704, 784217052, 575784958, 322338761, 516406855, 173550061, 816450501, 236192205, 489894677, 871324998, 349414932, 760343463, 143091013, 691633639, 718959354, 488874422, 9453637, 929013282, 687983658, 838469932, 362222469, 42629464, 23023075, 160157568, 759385699, 869335896, 925772315, 561355367, 525955097, 872723029, 91560619, 158351306, 924804652, 195013569, 425642617, 854202408, 459801242, 23645352, 721328094, 552182552, 3351707, 846122874, 875441719, 942452367, 662027549, 131395764, 840741328, 873252774, 995898964, 160013325, 959282292, 805739719, 766997606, 427106559, 523130204, 480690469, 897671965, 556031283, 965354800, 730050931, 602008730, 473153208, 244673957, 25112095, 59035890, 522563790, 199678615, 685499551, 289838972, 230061461, 132305402, 483663425, 960746561, 488677482, 178038459, 421901761, 939955394, 721357881, 66652909, 781025115, 467816808, 831092720, 350300031, 292178517, 702002781, 986894001, 393409643, 761581637, 816326850, 401403349, 927965492, 902274360, 245962260, 143531290, 398984105, 417453273, 986993044, 936744368, 376078970, 525251249, 270971582, 461410882, 72981590, 220997600, 587683378, 591648179, 331287372, 968833923, 822596760, 778998702, 941521294, 858640569, 808479357, 110497576, 57396930, 256955004, 585608823, 236065997, 703205691, 746919789, 474985313, 240309315, 17526834, 713916040, 826234210, 103346086, 185769110, 410415522, 551943577, 687871662, 361495253, 161579828, 43969667, 531915733, 699045808, 312692851, 117510341, 60873779, 657795195, 496107297, 247052816, 409350349, 654254733, 418569138, 329822442, 794579782, 191478659, 906933594, 481488950, 840039898, 151063715, 877423139, 489138466, 419975351, 708366073, 179201076, 15403111, 102002181, 726941971, 682429311, 170746037, 522023826, 340714209, 947221573, 744966558, 61700876, 969844367, 81724583, 177105666, 476786394, 126092909, 473243552, 857823341, 561342062, 1950164, 650468558, 364317885, 37497996, 426588110, 766325248, 165727498, 377652088, 870561804, 948127809, 366634230, 981134891, 324337709, 675688756, 884334884, 773279952, 408674853, 937844205, 812544291, 32305020, 991828200, 660984350, 503177235, 927124578, 846638656, 486551167, 865653268, 487626128, 668409434, 29004665, 591231153, 443999401, 648371255, 643825439, 910709894, 255057559, 648630325, 579183732, 652993616, 257823539, 714161094, 136541350, 574495905, 76720960, 190632072, 417444530, 304149634, 170836742, 45188149, 117391230, 100829775, 361072328, 443051171, 318014558, 169593804, 214436098, 103598884, 231202136, 507258096, 693185119, 202155992, 961652439, 976349743, 559917668, 872056234, 888513965, 273311120, 960795928, 347166919, 731078491, 652737576, 971007319, 228899402, 645226791, 948062121, 932307718, 50639227, 400195416, 369136560, 455196994, 555612996, 808164238, 819068161, 741489630, 977403371, 658969736, 296785969, 664643147, 859521999, 785693464, 681644119, 434337414, 741397672, 83270381, 697067266, 989574075, 485810378, 362120026, 85821266, 186209716, 821342284, 336655257, 812225390, 201596621, 726499291, 491702122, 262363716, 155687642, 282282511, 262769968, 756205548, 971962, 921732270, 118046884, 386358617, 308791122, 215818302, 489586853, 32448832, 722330571, 571685286, 549699721, 737454722, 112741631, 390000399, 569929907, 824653881, 113167534, 224034182, 603869789, 343335208, 114809976, 79566661, 667699981, 89767431, 32686383, 312227049, 167177142, 961088792, 178873944, 608690720, 482320428, 48160885, 355600796, 232684351, 454138451, 817074340, 266237176, 653346727, 670429387, 927101151, 306129136, 198399880, 600108027, 730955009, 890157613, 860758407, 666283938, 79338775, 20301367, 577613071, 894462129, 174876144, 759910428, 585605680, 373111785, 373217299, 754871146, 567189864, 87796790, 622312334, 533262721, 545802946, 890012591, 473599724, 925727195, 357973571, 479054151, 85090483, 506355684, 728267653, 624213187, 419829336, 907914081, 637242239, 903662735, 147127600, 265847146, 934400884, 118851207, 235064096, 37892961, 370941544, 425163828, 219004765, 644607772, 320818169, 682084551, 260697159, 758040417, 828535267, 675823186, 472377233, 154399448, 632309253, 220067652, 937672009, 471135531, 898054677, 57535850, 16838276, 24137792, 999322825, 176203333, 257320767, 128629863, 964896015, 969869916, 239031605, 288234834, 948347961, 732508726, 409779988, 582448837, 725365187, 700758549, 974029665, 987685733, 208157229, 705223782, 643642186, 421148068, 43784342, 38836383, 504153539, 545319461, 47297170, 856264868, 948072254, 894518778, 562473688, 659509714, 548253669, 91044579, 704120130, 674908751, 349480934, 123372199, 166371877, 939701438, 237401965, 792308572, 546013809, 131537488, 415949979, 867877439, 174149298, 57569861, 664998431, 678165458, 358916066, 51623567, 353717503, 461599611, 40499155, 369593471, 36676759, 264812475, 123715641, 470688370, 593472824, 888327082, 959345626, 525813245, 803211641, 33680413, 7152350, 9533475, 67154487, 230149005, 705440769, 564287215, 839554901, 439693, 58630236, 632621303, 193915581, 860547841, 42642979, 371122612, 133215996, 179278438, 946692336, 130456065, 528801948, 630991102, 567783980, 586657279, 832806122, 345190553, 374305766, 439913458, 758950359, 569035316, 25405455, 334777719, 78969806, 469171060, 288873447, 572426436, 282256600, 775289958, 141901153, 469542832, 423519670, 399428638, 470406167, 614954380, 863059093, 816921958, 430706384, 61206815, 672397939, 466256017, 207553294, 479373210, 560183259, 271960753, 608420930, 220789815, 224659139, 375078449, 877030288, 898878905, 401678290, 660371704, 326951799, 949890650, 810691450, 733410621, 580874766, 633436165, 66966220, 389326689, 313396849, 139309842, 433084417, 229927478, 431277552, 194484188, 70923261, 733141318, 585005130, 838304891, 130553005, 889943815, 820460585, 363133071, 338016718, 363880448, 795406273, 741595375, 864885523, 422268059, 158762460, 654719400, 610747512, 388933379, 552288255, 841268100, 649400929, 561263206, 835514764, 920671985, 320832044, 765676994, 122589299, 79283088, 765759620, 873565544, 81605367, 888507061, 713469328, 341204338, 889329646, 530895806, 767226163, 541246571, 139209837, 765376270, 767833885, 316375726, 882259350, 529830601, 793495591, 771521026, 187599318, 790057604, 779209879, 364817410, 504708141, 560766401, 476329153, 238532911, 493558338, 948635418, 675549130, 958231709, 577844914, 929863319, 224493682, 275112393, 624487428, 141846201, 324623267, 287024816, 506520244, 506977776, 322908743, 976445103, 63693151, 721463596, 712066519, 353758458, 573328372, 307954379, 411253196, 966558107, 30622353, 248747469, 569264185, 94026131, 405736092, 775457203, 413495482, 47827349, 514301740, 209128485, 129513115, 791538074, 450786746, 855533020, 957750087, 698485616, 492581427, 204527145, 81357909, 970255042, 452557132, 258691013, 49775000, 339849587, 164142201, 873412158, 703236150, 719328439, 246770862, 146074393, 448828285, 123131600, 480165499, 318144199, 485481918, 924427704, 784137743, 114205664, 582652572, 785524683, 741501256, 661776278, 133438654, 4006172, 386432524, 725888498, 755756547, 3680007, 316027353, 448160006, 398810294, 515445604, 620572806, 512121573, 466445888, 931093571, 580919835, 314419761, 617687804, 842032613, 846770922, 907206263, 347278080, 286460903, 652945512, 554115165, 260646233, 815877527, 430449681, 691984032, 89028337, 588521566, 780085387, 566355042, 429913487, 42789379, 99829926, 936705619, 679335571, 998726690, 85328008, 501063127, 740141131, 46162349, 330414828, 402696027, 732745281, 262969170, 910343505, 586070865, 163887961, 66025593, 972354619, 293850591, 576135593, 265996767, 607334905, 749207587, 569041329, 855150047, 503777289, 6173687, 178315177, 750762154, 51424231, 33796580, 121052392, 908308829, 581431255, 258924928, 973320903, 93366171, 6503797, 597217665, 314985936, 904172156, 911450384, 521553619, 749588040, 265243981, 654167351, 287452972, 356166895, 8220813, 732956100, 550477169, 175423306, 99093909, 414975847, 757970733, 103969369, 66421878, 712006509, 989216382, 576890915, 795643276, 78577570, 360529040, 361812012, 433535405, 192629086, 925124614, 437961832, 49246140, 689999553, 565822180, 22971266, 50266551, 758288487, 744425768, 796441458, 967387998, 33430524, 188466216, 732917336, 312556134, 423963113, 168550387, 350690114, 145310337, 364558808, 347593395, 709636014, 945108455, 671566789, 828181309, 220065977, 150351674, 100734715, 261336962, 886771332, 943535182, 446786616, 758388721, 689367384, 284512716, 486842493, 81021949, 448822193, 43135728, 150155604, 740667260, 854317117, 8326871, 371001426, 363448344, 933716475, 360341510, 318322509, 539834538, 345588807, 557888330, 809321779, 998910262, 639440773, 165269137, 524935848, 640240621, 243339118, 726981224, 35761187, 494300067, 992653190, 92210298, 302996144, 846826660, 720653338, 875143355, 181138170, 671299202, 991940965, 196195445, 78536551, 448296750, 535525141, 373413194, 833686775, 114915586, 990515304, 728587357, 152884375, 379621636, 222320007, 492198611, 4272683, 57930557, 436384161, 827997364, 905778380, 273742775, 508179215, 717769547, 608948993, 196291324, 10164407, 97813745, 35222133, 930891959, 874410288, 124259331, 15608370, 256325131, 244234687, 556379437, 586206779, 952021692, 4652030, 915043394, 279008014, 857429902, 890220512, 302201939, 305407260, 632865272, 614380002, 281205725, 363506537, 604314400, 381833535, 843581038, 78161400, 951559833, 13260176, 67211565, 923355954, 471116546, 800607159, 392937123, 355406020, 429844235, 134255046, 571160861, 903721209, 517550733, 489520853, 449706526, 768047558, 320910658, 674021521, 748448968, 182146580, 103076942, 789593777, 718666274, 640505281, 645430243, 947556837, 787598027, 2447642, 687442132, 752080623, 377867102, 26438417, 285016861, 150625668, 213166511, 580501556, 895288605, 21849366, 76661503, 278969455, 336497719, 728774076, 572103279, 101179756, 395689447, 195837654, 367345598, 212884006, 380505628, 399251664, 621160694, 51374556, 483240249, 487430698, 607534604, 1265225, 3814582, 277091546, 86498077, 843280645, 652299465, 665046698, 777145470, 949576078, 919101823, 102172560, 445094612, 725426868, 608555580, 702831769, 948159218, 305239540, 238834963, 984564673, 875005929, 596713859, 323332952, 689390217, 768867673, 645201655, 764042, 693748458, 839052260, 533225787, 134814176, 112977608, 451705762, 353507570, 635959353, 236190195, 684703195, 950210278, 522455419, 874025269, 539316458, 70618246, 263142310, 402388511, 250550480, 415389268, 82120625, 919423747, 130436340, 612149658, 857098793, 635436421, 298044755, 274240289, 791704955, 188248531, 527079831, 106711311, 142292579, 995950961, 538302240, 446367795, 345896290, 593940199, 729119924, 588586887, 318247821, 581677648, 119619323, 281906093, 32473029, 115250540, 112412175, 200440251, 32892598, 547188426, 630902521, 896831693, 652447848, 367094549, 659014251, 319671390, 234757003, 119199673, 412676452, 746410992, 948009543, 83549541, 374479575, 153730521, 580637702, 702148014, 718540177, 290767823, 728891921, 522252076, 617334404, 112229197, 541078048, 159257113, 7867766, 842253071, 698509123, 662102712, 157891057, 605074508, 166898048, 299369023, 705514247, 61129316, 609592887, 54622497, 742051540, 961673077, 479640496, 501242301, 492355489, 33192801, 58929878, 590529846, 994315046, 672700733, 745347663, 138111583, 149966276, 143359000, 907138084, 740297667, 356753525, 810983284, 275490430, 335309217, 402040636, 113183122, 121827608, 235136141, 136944699, 794596195, 101620600, 101356116, 529328847, 543773557, 329274294, 822747538, 157113429, 130781412, 762096006, 117788692, 463288359, 84406183, 694950174, 439182551, 640180188, 45896175, 711520608, 28335541, 194745171, 256513199, 588647587, 72260706, 579066223, 76622789, 988431476, 681768231, 571557349, 206108426, 308365347, 351927434, 347234294, 867194970, 211950876, 83352767, 347538436, 486738764, 385008380, 206944845, 167218288, 441656553, 729442141, 31218597, 165022450, 462981471, 966786625, 17312526, 886160073, 63605608, 352032781, 724254796, 458418470, 300258250, 797537678, 103091768, 508639908, 582601742, 69160514, 524344508, 921469160, 684290004, 960835534, 790792909, 605677796, 652058070, 705722105, 715635774, 817248874, 814798346, 837351320, 92156489, 517583077, 593686690, 491952271, 20182918, 416203831, 644639432, 751787226, 694486520, 599372209, 807482998, 702800189, 332947502, 767515368, 720786374, 443407723, 851541235, 267059886, 13120877, 265507666, 339745463, 527016810, 255476210, 383833261, 362817658, 462343570, 359888882, 854639004, 180088620, 126054595, 781159544, 415054174, 836322486, 214834785, 814291788, 884083440, 933117201, 300331476, 215612967, 619499992, 838368891, 744192967, 514277829, 277484205, 924588935, 948741289, 529606919, 205840555, 859671123, 714555037, 418752497, 740745094, 373202385, 475986548, 426404826, 598371597, 881872059, 725466107, 838033092, 251065961, 518572785, 973614068, 358671356, 523079572, 581886104, 190373165, 710655515, 148435561, 514556787, 265975399, 158694963, 592201651, 393982414, 116907114, 18774476, 267727985, 565861600, 977345221, 35694974, 564332016, 563486065, 846820962, 17295085, 335825297, 482399932, 592161546, 820847705, 915928866, 86202501, 471533606, 601397679, 844104879, 776807282, 233250642, 627783162, 96993327, 950345122, 163764005, 314101301, 571875420, 746320579, 642132945, 137155361, 481530459, 174853581, 918875362, 1975755, 605177242, 226225923, 177742603, 844323421, 810884044, 555677759, 79497713, 377826339, 610642968, 578006664, 139568262, 165854549, 46384806, 514124993, 40308798, 925812329, 139829529, 994305424, 708539986, 976091953, 41557546, 628616343, 658586918, 506436036, 623734761, 216291003, 923720287, 369847886, 752427129, 499311111, 810064011, 814082952, 69323074, 666344028, 954212056, 19988714, 606530788, 189967179, 995784003, 16047173, 420825300, 170173386, 133436116, 625221852, 436193291, 789814167, 440076340, 366889481, 190965736, 908369814, 514714179, 230110170, 206436257, 939506575, 871916997, 383649762, 678053254, 817683914, 958637682, 500964256, 903768898, 460325249, 87109913, 939904830, 236353841, 714548688, 796494020, 918150481, 369418962, 170957760, 712939054, 334417753, 268423866, 73462369, 424452041, 663721720, 975462799, 396085637, 973280899, 510757734, 398573614, 766458548, 742412326, 562025113, 886673004, 829838767, 228596774, 546913595, 319267377, 618116543, 572381609, 247803977, 683222864, 574238157, 963202487, 236320086, 687400735, 297793516, 997245608, 996675339, 635389552, 669333082, 512592751, 875932750, 587799853, 400301033, 183615861, 798816918, 408519968, 68351386, 518277156, 531732896, 257180482, 170457528, 872466126, 917011781, 797414255, 808892818, 591081809, 814149636, 51956910, 591285933, 912284219, 40211521, 484229477, 652082280, 32607334, 143137295, 31508098, 693890111, 983841694, 362188389, 975709695, 136798120, 470861519, 726454632, 777775897, 74554038, 600007123, 975277766, 378266830, 926726922, 277383886, 464475513, 214186599, 946026087, 990651332, 838152604, 190806448, 574979778, 377618150, 549120191, 548735400, 836621467, 289366065, 301678843, 736623427, 778024077, 648990288, 363167715, 343578453, 172820553, 60469571, 514153788, 885828331, 184109709, 704502930, 375243179, 783831224, 956089071, 524611639, 664039469, 657044376, 45821405, 403901760, 309865518, 162516413, 485079541, 863497440, 909298281, 138352555, 287667575, 772465015, 154139049, 966595683, 707605772, 261623709, 967412181, 746381320, 444297756, 822642392, 417734384, 583335234, 20938289, 48565750, 165112854, 195112866, 574145244, 837642490, 393557688, 575234190, 505366293, 608459422, 630833743, 535003335, 297717540, 664507419, 546406516, 306866781, 406383694, 616300997, 751355597, 342804699, 910165382, 964927398, 441237469, 967548193, 965224995, 517407605, 548964671, 257203515, 951896096, 813607533, 212172964, 844621016, 833880666, 116778311, 715395590, 739440330, 855738413, 105265552, 335691010, 206747046, 690726422, 797075350, 352003689, 835851624, 400325479, 308260958, 346035373, 442656918, 230079243, 63303473, 877454663, 229626540, 204580209, 960532969, 395730592, 350735387, 576696996, 803012971, 809656807, 3618355, 967627547, 622134835, 526616133, 140525826, 268571333, 828897111, 276965627, 112774079, 117379394, 740770889, 965999849, 408260028, 229816352, 86820168, 738520095, 713573005, 936718587, 954798030, 343553637, 930143139, 669853668, 916847824, 491469648, 910005358, 439304997, 525730225, 167187626, 462231352, 622874111, 713309510, 875690786, 478500732, 78288328, 507677229, 790494831, 811364957, 184010585, 799805178, 730724044, 868051588, 377989506, 29537517, 754779310, 232895193, 114094357, 364202175, 997595654, 148406441, 581177473, 140622653, 377278303, 755372156, 802106099, 109903959, 357257187, 52944000, 106332245, 204056210, 178777762, 516148652, 309427725, 268026408, 969916428, 470534448, 246331814, 387812310, 345033609, 754098486, 414293223, 453065975, 101261953, 848156122, 696644732, 72209275, 44605820, 58132560, 829477489, 541643812, 626315204, 863179246, 344220950, 350262847, 295564615, 893181089, 127954018, 794621593, 809889944, 66315717, 918374213, 415739652, 314200715, 561461893, 591222778, 255456333, 657932189, 41387322, 958871154, 394492291, 62409540, 66845475, 617426176, 38427431, 689922529, 225019980, 79881242, 282018028, 231723183, 212854585, 541772964, 156226852, 214136510, 145182052, 738664183, 545629520, 243607098, 168561793, 482831232, 224564069, 859918554, 298393624, 723108177, 263764184, 606885679, 405260039, 782853984, 942773706, 858010793, 317040396, 372623895, 360119900, 448879090, 979312313, 974444185, 797731091, 716805321, 742897805, 618589214, 98763294, 756726084, 581269868, 954129205, 958963189, 310176652, 834512723, 670775430, 174788124, 850579096, 585431497, 722812427, 759213863, 490287745, 831689039, 922467142, 696922554, 785682700, 175926624, 620552534, 736950255, 533713670, 425658853, 942699412, 229529841, 374935957, 54580543, 105072495, 474234464, 961263354, 241128930, 903246729, 592029225, 421555294, 681196577, 548010014, 103316, 110604608, 752802736, 392290456, 299288989, 55279192, 260505154, 447368382, 548687811, 187475241, 526814002, 393126442, 964601207, 732492074, 776031440, 18824339, 157272679, 552894273, 299178330, 622570469, 540305334, 267480888, 104480997, 451748388, 544848403, 529126230, 28433533, 889776765, 298107582, 49055241, 553490657, 603577810, 199292271, 570808346, 115259339, 874001441, 534897623, 260309741, 669864151, 274002666, 434378341, 59093172, 241490240, 889351732, 546051358, 776028130, 975218997, 513662934, 51350118, 418526118, 368124381, 193661075, 260676459, 679778823, 508333692, 798758724, 330941489, 496912187, 752928666, 650746327, 777846048, 887359390, 202860897, 741661107, 512808464, 150378939, 651102978, 616653925, 561971174, 416022321, 766329169, 572247629, 923113215, 64290191, 143539847, 936112167, 646540992, 113423996, 190256883, 643894838, 146101704, 787301183, 670244118, 690513637, 613288907, 285001559, 731086073, 745125216, 473397184, 156355772, 797820038, 644883565, 378048450, 938548768, 805419473, 79336369, 497534273, 89824224, 46524778, 528241297, 52930953, 921415150, 298446278, 715703330, 93047225, 193361757, 837871629, 541375564, 261740842, 694746933, 931304646, 463720414, 968656529, 673302817, 637062984, 294902472, 767777728, 643308096, 405908621, 203699692, 703291394, 888569860, 997458205, 322949296, 487472528, 884812371, 955657810, 848222499, 754087402, 678646662, 924056413, 350935853, 622287912, 231650902, 365136259, 127545277, 527616156, 532021199, 153368739, 844769644, 742013261, 643028109, 957098590, 636584375, 279938118, 437649491, 344028619, 395575744, 153715216, 747313672, 974451996, 183963644, 673854265, 876986776, 569696459, 494424661, 797935409, 228020199, 949092065, 372368128, 667572933, 420327981, 1370335, 583841631, 697777781, 486099808, 785253809, 656856245, 244920094, 276729760, 636611249, 810298230, 336688525, 107588674, 883899196, 852569404, 922936432, 376998422, 129391477, 309405037, 86084464, 165458144, 120249913, 777756242, 693966639, 308115720, 507793432, 318181301, 45509756, 368088879, 27270357, 544804237, 385501086, 90311234, 538802495, 277587147, 352853136, 416758375, 132824258, 310959610, 979154124, 426980530, 259941145, 107852094, 494516905, 46266440, 388812432, 543394319, 75513376, 820288092, 961358905, 834709709, 534404831, 273670225, 114088298, 888023312, 563029788, 831754580, 640137162, 848968006, 500333685, 262734260, 730921203, 510137731, 75085459, 31524303, 360124208, 817394038, 700694434, 504215125, 422750041, 117525523, 645625810, 685883801, 538280266, 618751352, 844051982, 824694400, 122700181, 554842785, 202819432, 84963850, 33122832, 710884652, 543924158, 393669286, 293148500, 618325522, 451748303, 93364102, 651656324, 810837588, 842724532, 624100345, 202576090, 278839967, 619233854, 138245890, 531993201, 955415378, 968933407, 231652559, 239989792, 625300805, 326412969, 304691922, 726001551, 454028242, 540692052, 318552549, 229046176, 263958105, 938619911, 820922390, 241280811, 199994497, 852390652, 496387300, 324549679, 525886114, 801341270, 961848584, 973263389, 875200369, 20830378, 104489555, 336584511, 434771737, 318015650, 608547183, 478510296, 453704922, 812850446, 558796171, 402541731, 298144835, 880218326, 375789452, 318049429, 516220155, 983356741, 554155888, 624579266, 326474276, 73030277, 271334365, 376360340, 841575065, 531123959, 966203342, 124384881, 325298762, 805462972, 903819891, 211737550, 295491188, 945831876, 84956690, 101494884, 271001641, 483498391, 654500109, 679057882, 182503314, 8271912, 998633409, 394831691, 521708181, 1733360, 981073300, 815586090, 23307717, 367279229, 913024195, 563223367, 522341497, 353604960, 261125289, 695608402, 659718554, 389350797, 744022407, 959985168, 946822462, 734090527, 673247896, 326684372, 201903352, 877575705, 428992706, 23097332, 668053307, 261863569, 497025921, 301281076, 628203416, 637426684, 971619874, 914024705, 173042595, 574541671, 141718678, 76155353, 330917248, 837135062, 865772937, 977707271, 526053051, 463987019, 704765315, 907581884, 704683974, 163747574, 131418646, 922167641, 808143644, 908329057, 303032182, 612043648, 423055338, 897818238, 929999257, 867327269, 813737015, 41055413, 64312266, 943548738, 670789200, 208823035, 666075126, 486507924, 977897216, 14083940, 463257894, 193836813, 121049423, 884681659, 647149181, 286624458, 837287465, 851039543, 266229318, 138013656, 407873925, 146351768, 6461417, 19790310, 145337811, 459796400, 205770054, 610896410, 216382426, 497877457, 220982427, 533338440, 35235941, 228828120, 540433982, 937868595, 457529904, 775382022, 170636831, 738587474, 896698823, 731452782, 174735832, 768963931, 959201248, 892534846, 796155143, 993599708, 325812466, 727949402, 936582172, 435464621, 129491508, 574739847, 805699668, 969529719, 983159066, 920090744, 279231607, 420941210, 628466093, 476189556, 361221019, 896718588, 838297276, 189675788, 801836161, 885155347, 919495226, 554381996, 864331629, 229688629, 393033443, 66629243, 825891248, 954463244, 932652174, 915577304, 12570300, 245585503, 761742809, 433436171, 314215816, 992792055, 739448856, 73408006, 380659340, 557352292, 594351226, 869898295, 700987861, 760080859, 747512073, 167841934, 67684137, 465720746, 697935998, 587014785, 169388310, 48807224, 347743558, 17088195, 264885854, 23567704, 118589031, 336665382, 583116593, 47190533, 842054386, 361208602, 97590652, 697747696, 650830564, 424799343, 925806356, 615333311, 582652316, 624785716, 414369717, 577624611, 317390730, 605320126, 505479316, 368912816, 290628717, 304203636, 620396991, 868991186, 432544075, 86910624, 535913876, 772885102, 706254863, 651857165, 187870985, 831402038, 924587296, 924664917, 367243432, 286382187, 253488200, 620685168, 71462529, 51652042, 884763792, 878543922, 969793504, 778235867, 690915499, 75242353, 462398210, 181011938, 975835078, 717009334, 649422791, 642534333, 556367840, 773427096, 869479473, 492393490, 406156169, 663308230, 699624795, 502565425, 947613072, 282862777, 533960178, 399795559, 2897454, 648019625, 607114054, 862256458, 765700750, 627843332, 906470411, 855896066, 711876680, 503463710, 53435759, 653304614, 618735109, 2520048, 791095687, 210518110, 278536522, 715432822, 413748074, 13825926, 570414886, 43330261, 508286807, 370513167, 963127493, 617426133, 698024031, 585147351, 528251733, 95747763, 889793728, 368695373, 365409780, 897444625, 180038609, 852221481, 506333721, 446194484, 707776564, 670636962, 239242608, 663159594, 261470371, 266072023, 63621171, 226576323, 572530145, 521459548, 220305602, 868747307, 533469765, 948499024, 983084453, 351267715, 267174394, 129163979, 911938522, 821218787, 673888726, 281553664, 141905811, 345693441, 3061218, 403301258, 373606973, 955542405, 474477831, 304152305, 559630926, 655843896, 111429743, 728649639, 747637555, 672528639, 911153022, 55536710, 990659043, 585192843, 182212583, 745691071, 270185474, 669134167, 923040067, 208752837, 612966100, 15761230, 76441109, 112132922, 278790166, 190036272, 985101917, 470645049, 54110323, 137007610, 379547925, 848153406, 213615407, 349419123, 354257302, 46443141, 693748681, 35650369, 285209127, 70458428, 917103937, 379559938, 657219180, 684443474, 258121732, 114563761, 688607795, 46825595, 369563350, 312896632, 883719848, 835386317, 392121970, 773443188, 352794456, 389876434, 907422259, 913047329, 958242946, 172819754, 943027992, 990116219, 409700441, 476429512, 787438359, 835866423, 640795449, 782417639, 188839133, 389440421, 231910453, 391423604, 577397638, 271951130, 256892007, 504544994, 72475303, 750058158, 957550601, 603202204, 119921061, 929877118, 866291830, 78607519, 54856254, 761607881, 564490323, 443778600, 276060, 904949601, 512119573, 863851348, 882560479, 46747771, 619953152, 798826966, 618100748, 961303696, 699784382, 414698315, 832616899, 206473507, 378238932, 314948390, 229257613, 597805436, 838045122, 703226114, 961950848, 772637058, 844993324, 289781949, 339892130, 954599865, 353379600, 489753665, 593581183, 641192051, 924391467, 748675884, 771783268, 814840638, 346307077, 363027924, 196193152, 696890534, 1898295, 195867604, 281935631, 349469309, 62392226, 518752655, 668869286, 513459529, 825537663, 207438347, 200886105, 95927475, 898231708, 311857667, 303103955, 756348020, 817469020, 984435664, 303951566, 494857662, 72059534, 843232879, 490799439, 606537732, 125501174, 24138707, 877100041, 210278819, 488901650, 868829846, 402277466, 561975466, 593648660, 803853049, 279263031, 758211196, 978735008, 687464078, 414942997, 352944044, 291803839, 464016197, 74501185, 705684118, 202939956, 337435526, 57406528, 76173907, 280988603, 615436383, 896316987, 780307796, 805789434, 192367414, 727350854, 220133602, 981066016, 736990970, 434947406, 19473967, 133764983, 20372012, 414948469, 716916654, 153579710, 470082689, 370480552, 856231050, 494752289, 386715594, 327916578, 94407789, 411095555, 873175264, 320965070, 652683875, 593710782, 419560103, 413489491, 918367228, 981964973, 825510625, 872371687, 153374157, 99528025, 469180715, 41374940, 10661702, 127432873, 176499171, 247632838, 28855725, 724609526, 753367677, 629498586, 188224904, 281666628, 48255296, 227688489, 366307144, 478476068, 675526919, 449066592, 407053240, 623264708, 794871032, 739087283, 453890992, 449307919, 284457874, 146279027, 818402649, 679932333, 432824782, 187149426, 984466640, 881197194, 62498977, 871638480, 152189637, 793361722, 876514128, 72578044, 60299321, 744553331, 376322423, 802772736, 903881822, 270139825, 728148750, 496642480, 235702683, 829846084, 362504806, 819122937, 136605321, 408911094, 679292971, 817110185, 279659665, 655644079, 983303651, 22571127, 232499558, 723286524, 594819293, 706753, 669012845, 563116331, 306625666, 777347982, 32653856, 943521027, 123128225, 755510749, 761196725, 327977990, 898041841, 278262408, 489718575, 265482004, 888405032, 38749287, 42953476, 525901400, 8319378, 463846092, 926140629, 472358581, 712784375, 461241792, 637042695, 392668547, 774435992, 904985831, 809379149, 906772679, 356921994, 869609733, 307633214, 546285988, 751173825, 316739098, 872224946, 883574556, 154141589, 746560056, 934826845, 981943199, 332897410, 2192, 652659492, 626223938, 387238229, 437990088, 131867652, 562809824, 314248031, 367268403, 182497570, 196619479, 169065008, 99532006, 393674437, 156596841, 12237272, 810432365, 496782445, 219450011, 907385917, 440651774, 854629510, 649893485, 847961502, 335849109, 863972479, 366563946, 990043228, 452212651, 758677191, 179492606, 257029103, 680387388, 747003452, 551649481, 752968972, 500702012, 64827185, 317750181, 597669587, 793871948, 258572069, 611468028, 835687165, 795287851, 680499159, 642156482, 483113001, 751817252, 785782371, 779387785, 588656163, 195969465, 553523677, 191915494, 381944650, 992395720, 763166702, 330684827, 319080506, 356591004, 358963387, 417076669, 989562486, 666780197, 166517154, 68239187, 620755772, 797364933, 746193157, 753436659, 619116506, 262096085, 374604715, 235032778, 316526106, 675211281, 942030934, 580470502, 848328200, 801309946, 691686581, 468829606, 968653378, 821231476, 283512738, 910427233, 414916605, 673897637, 221420052, 174227146, 263469889, 828944097, 133276303, 145172368, 155652747, 604895642, 13398295, 52866090, 800533100, 66202985, 366176115, 239960524, 784184848, 727224596, 215864718, 464586614, 400637718, 278707855, 231274670, 493024974, 384959339, 327182263, 681836722, 1425502, 170848405, 852952063, 512215945, 524087766, 22386812, 241321806, 733305400, 85168158, 911982138, 938762810, 807243527, 960412269, 611915491, 580206772, 479169536, 773921779, 850340623, 863853171, 703856303, 104817945, 414138279, 356272630, 809828861, 225313893, 328924744, 138916155, 774761638, 20477613, 775339590, 2095187, 494071825, 681301176, 334616950, 861299875, 84666172, 255968476, 435038569, 963270119, 749326859, 803471911, 380934107, 518705272, 526366651, 612940506, 434537501, 869967534, 793070789, 628403497, 735211557, 801430813, 753339326, 634215190, 266088866, 627964573, 913513334, 353879708, 928825037, 48924605, 511356261, 38896469, 946152284, 589227196, 217769624, 524339629, 880557584, 973126164, 576262072, 621373243, 897920455, 801029673, 23473871, 885288683, 206989449, 953633798, 214411392, 65399981, 215220662, 674027851, 228118843, 675384815, 903463287, 315499297, 865546196, 771618671, 864693478, 903231528, 818197229, 524529171, 544374741, 759656066, 568272127, 938331296, 112098492, 2932350, 331032221, 834356094, 385721137, 346919086, 265108169, 89006657, 321412806, 780716939, 602672244, 141595305, 309770166, 316737199, 18823443, 580506550, 766325813, 372558996, 546683400, 701595816, 937668533, 134496796, 372555898, 500867674, 483144886, 173767011, 875040205, 933243915, 463752814, 990019613, 868571030, 821143544, 365914968, 513232273, 138097226, 931489576, 509974540, 42746507, 670176996, 159930854, 520693754, 177316886, 378952239, 835134520, 160826833, 33246251, 412463466, 616079976, 238365215, 806334674, 910755643, 638145689, 151489829, 575796417, 687338838, 545700703, 102399534, 789753507, 58350680, 442301973, 30380040, 187973969, 276860293, 10529067, 831442762, 630077967, 279979080, 317145227, 402757723, 448376710, 283665824, 250503898, 562160239, 699418723, 724642398, 830887049, 686912263, 821293871, 304827466, 858702880, 673553952, 263619072, 807263426, 435919415, 368372407, 59488916, 894694580, 322481730, 114673702, 697100440, 710855958, 970701722, 583336373, 220582845, 597506983, 982082689, 685538597, 575305607, 907832241, 402461991, 273790957, 854985014, 572506407, 125583006, 950846781, 914035741, 244386812, 639370920, 882301012, 70403363, 240678140, 116984746, 926738015, 499810131, 307116070, 581717037, 523561535, 533818737, 591788665, 123261521, 821122230, 204218381, 314369989, 749931467, 876618459, 852048349, 6787268, 112383575, 951515500, 828254046, 255907460, 701949546, 292335717, 738305791, 171871042, 344046938, 483761272, 899921774, 531439472, 512192278, 744121463, 273221131, 663835209, 283349758, 810905617, 668774437, 742630923, 951669268, 20262547, 954062870, 85094508, 304289258, 744382570, 237733984, 369651623, 631869267, 812046294, 841468127, 610262965, 169619291, 219031916, 749070486, 500573983, 509939606, 948227668, 418079994, 11345757, 55409260, 428443074, 825950974, 959448611, 285932813, 979603257, 231016137, 253935485, 202239244, 44862852, 621198066, 112343872, 340251770, 642119138, 317838637, 670666472, 243905799, 43647893, 296603849, 53734137, 790739904, 271564605, 153463579, 869031470, 386763986, 363268245, 182311775, 178550421, 562876989, 953731866, 174749993, 964766427, 351253755, 61898172, 232105211, 765995997, 82723579, 599246905, 813897906, 534174540, 238843023, 587948238, 55893034, 789444599, 691753337, 871938673, 8492792, 996494073, 331645288, 410844443, 842939353, 627009904, 434701566, 835611615, 208435348, 440497456, 227263632, 456340127, 620600643, 555256227, 935559527, 151326051, 513686259, 633111404, 952202545, 977264058, 601176787, 550454344, 165360116, 503040520, 966177170, 512706441, 838117112, 777503711, 41769242, 941287258, 887075868, 537603585, 841954290, 133614728, 639392446, 160051215, 324125447, 216552251, 206892861, 870764285, 439658762, 565788743, 277979466, 10672797, 710944034, 937184274, 504950057, 514111568, 560043214, 383053697, 611601853, 395311310, 915211197, 153517563, 414260872, 247966997, 743366467, 69049348, 693593578, 759566784, 625345326, 272326369, 890987210, 382926800, 929615019, 457952276, 797747600, 652953311, 818560872, 390836666, 725431654, 618648367, 279471663, 586959178, 294910482, 945650237, 420662031, 491649396, 752279352, 369776382, 854263467, 76197636, 339083422, 467960341, 959032798, 77114530, 659033178, 124382220, 542412067, 654100584, 463524931, 702265410, 453709769, 286992157, 947547399, 552268277, 77053605, 93655879, 934568947, 782259001, 550413858, 612339465, 102301715, 379092377, 751581432, 889067106, 351621155, 718616573, 173863364, 77456891, 112578538, 234736818, 817054906, 814273416, 589371334, 397942708, 671385688, 347777130, 862811763, 103776448, 214558890, 818315771, 705245078, 902724873, 768969227, 422505972, 585029973, 939561420, 549166931, 543967578, 901910321, 869958186, 525201714, 249684770, 254188801, 171196413, 515233844, 402295930, 364261582, 931537296, 613030428, 359513031, 214497759, 499339645, 419728029, 86707024, 152069141, 199106446, 839584218, 685998841, 494685727, 962252604, 843093542, 619971564, 558751181, 593634291, 32350899, 354419374, 384307361, 200086528, 874380977, 813951655, 835051669, 192515333, 322407463, 410128619, 621928849, 111367893, 759580082, 569442893, 414021718, 477216891, 705437820, 220428195, 637723943, 960600264, 660062620, 879263824, 785525176, 499075495, 991708110, 70212211, 543366829, 998892058, 658238906, 335226321, 255411589, 171095638, 35336097, 88045685, 516674392, 604824830, 282614942, 467363071, 937726992, 293574475, 740468107, 921395707, 102048009, 781775711, 817436562, 662861176, 680822381, 913286867, 868115140, 856559913, 936252239, 544047844, 807258620, 348007488, 630232400, 577548559, 918871453, 162069086, 462953792, 140346420, 760974628, 187027244, 143693210, 548272498, 998859621, 507380742, 264068531, 246695758, 700749574, 259632007, 911157169, 526405378, 753207981, 992651451, 162251620, 763742336, 453140470, 765051969, 95027403, 115246976, 554700724, 240773467, 666447217, 920450966, 339452127, 435307216, 684789239, 696899235, 406211176, 474321440, 686168095, 261363031, 140157882, 686167015, 401692372, 33843209, 854881691, 643023522, 461285456, 40306365, 538707044, 355186258, 141415379, 873736472, 552864944, 561575598, 582663527, 861505696, 483692851, 617786289, 33622286, 59305863, 185445432, 132057046, 83325193, 700279367, 248949535, 794270548, 633292845, 392246441, 627081523, 309418022, 440714786, 271564458, 139402603, 867248507, 51941491, 514688719, 369906224, 706623176, 252719754, 461989536, 668429032, 172217529, 414713756, 577129402, 144164339, 350826227, 188476444, 603148629, 595696074, 491950060, 176904094, 86446972, 380922238, 282530120, 762684183, 901464170, 314901133, 982751785, 645243466, 607373047, 130625862, 373695176, 985437769, 674297946, 454581226, 190386942, 166141975, 772535195, 740268300, 564560496, 777677913, 183871958, 868604077, 686092057, 396801196, 446703630, 495536090, 763121335, 889019709, 292783739, 673508260, 26784746, 531850867, 296677124, 750936994, 287475424, 34844611, 454725016, 992648457, 717188185, 996038577, 490056308, 119204302, 213522976, 647999798, 489638342, 170075585, 256164762, 426094260, 751528684, 927998702, 396215993, 718894230, 200303980, 738997223, 233041063, 869928386, 962123845, 202328896, 769435799, 172638025, 861810940, 84211097, 626622989, 190170802, 266205836, 810016256, 265995887, 849350948, 663581160, 353099647, 678426999, 664962987, 643085040, 25887832, 129251781, 355235736, 726899051, 944520516, 329622253, 358289405, 395719534, 656712509, 930908775, 878791776, 918347047, 941546078, 795373863, 179994037, 202069273, 273982607, 413251591, 402149349, 407039272, 997800486, 645823083, 609409490, 74000274, 501908033, 718480230, 789439895, 462663407, 985294033, 562302668, 859085962, 104692311, 810663630, 646417821, 325953929, 127025698, 355768988, 905947346, 143277169, 209953702, 177468524, 467175525, 377856453, 800332147, 281981444, 904946709, 921687584, 282246627, 281142151, 424066820, 683315601, 998740707, 98447040, 745844050, 19111410, 885818644, 593360181, 450529245, 523843454, 554810586, 916020529, 795628593, 655833327, 498538488, 205334456, 306836339, 232600986, 205430942, 272839032, 729618383, 109394413, 644666313, 750743815, 878411744, 27686645, 581847396, 238038122, 102028393, 835920451, 15269968, 505855777, 602560490, 641483593, 26827159, 108427466, 956039161, 508072119, 71997470, 440033082, 26404842, 957766654, 313490725, 846287944, 770188802, 730840959, 54720803, 919212602, 250388658, 106328127, 139035218, 992422758, 327038616, 401339945, 529578197, 294302563, 346836174, 644651888, 94816095, 849779382, 951717157, 967478393, 388407598, 454986195, 995850207, 448423420, 263375322, 332884750, 434846221, 552938789, 407863623, 286125942, 574892709, 347713260, 910426646, 173874133, 764835097, 776069398, 609154922, 991855903, 107618076, 629136123, 307847007, 710076398, 166180463, 132295215, 511807681, 925259475, 15144988, 595827180, 956118659, 457421448, 166203219, 172453806, 309993096, 648706719, 875470141, 123393178, 606367504, 301411557, 21232050, 471170024, 911759285, 538311690, 913477377, 276536945, 584653063, 431504256, 589948931, 929968121, 914272500, 674461041, 625871554, 985355345, 220512656, 656127555, 926799244, 351042012, 697774226, 455568888, 873323637, 22107964, 796360945, 383160754, 7965890, 4636079, 97766141, 199182741, 625620074, 959437964, 747976098, 968186125, 909303072, 922451235, 292676973, 489358525, 475244730, 276223295, 175500938, 986401594, 785461472, 702302204, 177521210, 738080648, 156839724, 323694006, 454667, 82688268, 665777686, 583646325, 450911548, 942038157, 885784486, 529519020, 143759998, 237787826, 723142937, 399932541, 381598105, 68932071, 409067718, 367972030, 843652452, 630818834, 208538886, 548742370, 625665752, 141164744, 216918345, 328715435, 647325440, 187471841, 922012491, 841947045, 797498633, 481945845, 507729020, 636881455, 310536307, 188347137, 995412217, 920616152, 267241042, 924676700, 356682078, 787542506, 421654194, 598596768, 585418037, 835714984, 515669951, 311327507, 766524617, 798783660, 999857825, 495995025, 604693206, 179066278, 94805248, 758649557, 453806947, 260316354, 476343544, 593943328, 959648862, 332920281, 873954041, 236776059, 839993753, 663967576, 454079509, 132631797, 383783558, 21474045, 703489551, 988816896, 245887697, 101112590, 795143314, 466929806, 850272713, 717600851, 752962425, 414648026, 192933053, 385061867, 995833406, 639520374, 20404463, 371949057, 834744590, 858149917, 18724796, 518922769, 689570604, 95738871, 827760861, 392519225, 804277944, 62006701, 751363400, 839853665, 28821129, 695163928, 65758410, 897498003, 137192909, 706062514, 396336913, 175332144, 326725514, 421460783, 410709110, 933654864, 346968131, 729740363, 112342416, 209813611, 831488109, 881117074, 106353373, 975587577, 249848856, 714344519, 46434118, 732584381, 617872645, 294267140, 950113638, 552897151, 393794069, 123953149, 622835242, 943734817, 882159653, 111782873, 510722136, 862207302, 837919105, 271729829, 206197516, 90227504, 695174798, 680799556, 393831093, 516037735, 539915772, 284516789, 899235577, 208359898, 419112869, 459972800, 787051369, 61234902, 821522863, 266996711, 20286035, 526426786, 114015659, 905902746, 178018333, 84719735, 692149934, 138193549, 1807567, 95759683, 285196713, 156237164, 816796678, 491360690, 872060141, 183696997, 354837137, 324939033, 70524281, 64893916, 61196968, 217390066, 309803538, 327981913, 829204157, 222229748, 153316764, 785717225, 7285302, 335434214, 224435104, 395044035, 869620696, 983474094, 561990986, 7138215, 724165029, 537359771, 442392295, 214472757, 388115494, 999724473, 116134487, 925708176, 746427493, 66439494, 388110990, 695779202, 787660736, 190107323, 811559999, 745417727, 443310769, 275424987, 133133837, 820291374, 958741339, 246153527, 86591325, 939988951, 617124214, 898061442, 790179316, 739813209, 230639713, 557133055, 69014343, 36224542, 362472253, 656301172, 233606164, 107307741, 672115472, 137033497, 438401678, 937910960, 718467982, 866662565, 853247635, 819192886, 385931114, 456696865, 343695363, 925106189, 556664530, 842187059, 289014425, 979935624, 943427265, 108276470, 37109300, 996374235, 723841051, 713359382, 636128082, 700513246, 9762195, 679089480, 972432725, 59538558, 60141790, 197446722, 475606973, 207152394, 949822816, 667573484, 554375829, 805701045, 52118162, 573417072, 38618014, 379452772, 734815007, 279448974, 165855178, 837684185, 303266367, 42775691, 170054897, 152941720, 376346090, 80027775, 196385699, 666741353, 279200277, 598319876, 565951881, 223948077, 829086261, 404416220, 765857935, 32132946, 773944329, 323122800, 11380158, 700999829, 843122284, 284109052, 500783639, 986258308, 935535923, 125641497, 843022069, 438289011, 231629648, 520124168, 131854516, 889483637, 547741461, 321354783, 590548256, 408219947, 374068408, 833897018, 905627122, 322048739, 980087652, 964141892, 249046734, 355599006, 84387793, 582727503, 239545611, 676180110, 74197874, 568227380, 944415316, 395492152, 496507001, 384407231, 903594842, 93861193, 863718595, 245393920, 390032449, 220461144, 237393608, 498814221, 415326199, 870627747, 348157175, 452381582, 275898195, 245829230, 395004048, 238412407, 756000476, 799618515, 294766621, 653924366, 772578689, 217194004, 13383335, 323679355, 504209077, 924360425, 135691753, 86745224, 426518058, 469233839, 510890765, 747589077, 282204965, 929404088, 636660454, 388671559, 780383597, 410164735, 561408191, 338050992, 738720900, 839907255, 670353704, 971951235, 994241537, 388133760, 413989946, 323116881, 580993974, 25522031, 619596265, 318094310, 194066677, 510414573, 723471813, 92026411, 364369465, 998196257, 286942023, 417151157, 565231353, 709548719, 85073614, 113466139, 843769458, 654957516, 826079091, 226407387, 915118241, 808155449, 103804189, 212188916, 488368294, 348073490, 586046913, 833754902, 130789335, 159722771, 537679333, 347911397, 941887342, 886559423, 462310055, 218746555, 317818072, 162731075, 585011230, 212891590, 89999079, 627688822, 99201727, 533174107, 236405564, 941961201, 526654575, 232547817, 733145787, 960574151, 212417309, 41626117, 442141825, 106251091, 471526052, 290923897, 843313749, 30797354, 4809073, 565104219, 16440097, 701508143, 295751425, 679202763, 868158005, 564537667, 948841054, 881260394, 766290540, 11877525, 626151846, 599497681, 604976512, 16158726, 932435433, 563793216, 166588512, 220711642, 182313362, 932806038, 948741966, 514240338, 56127881, 483537474, 920437154, 457815376, 33219577, 831050238, 451738277, 486789041, 28341652, 548599215, 256184762, 688898843, 766956195, 603771139, 781991718, 632924959, 900128067, 155680449, 860135633, 491145985, 757838692, 130353361, 911118752, 446989264, 604834023, 405048958, 521529631, 83745171, 197353357, 756209742, 130616944, 989172992, 636866871, 241333350, 633921845, 54039164, 702823451, 304801770, 704209457, 392353135, 456796204, 920665001, 54635940, 475877781, 574356206, 887152622, 497741448, 172846328, 996337564, 496784157, 992776146, 774773305, 245802426, 424931427, 681676830, 556994026, 167411230, 470797333, 758489785, 750526101, 786197582, 597309187, 504526964, 8671467, 23352691, 259810451, 781155488, 558397011, 862411692, 761103380, 877706060, 762078887, 868157366, 949932214, 58952586, 375625154, 316169613, 766310089, 873718677, 63574937, 723738531, 766010913, 255660332, 668893637, 958316218, 422557891, 988679660, 454334828, 267919892, 200520728, 885078132, 275448207, 148544634, 140121798, 341414418, 832664314, 233224135, 333976464, 698067226, 855006806, 840885633, 343344781, 493507943, 909182849, 373882003, 132689307, 889316637, 394966380, 87683304, 639006233, 636737581, 381648955, 434811206, 341341450, 517227108, 332592976, 621581375, 147467541, 375198408, 265382654, 881133095, 55958149, 55528482, 240782512, 195961042, 508744491, 670326622, 349887885, 699892222, 76115330, 716658120, 931988425, 203111270, 957621881, 850792822, 690363446, 727887423, 788372688, 551675848, 7490140, 378795091, 207716683, 777135204, 214787207, 390293836, 539447117, 472749299, 495565626, 122014613, 377679720, 61316255, 971106655, 442328801, 134855299, 59144822, 11591070, 458031404, 679628737, 881979320, 948203981, 109821190, 133386303, 162204191, 886207836, 428164456, 582889994, 369724994, 959418687, 756309747, 874394586, 409049194, 744385532, 278195774, 166177573, 841648920, 965120577, 444912549, 709017102, 239078967, 912449961, 295180561, 335254010, 776554113, 124120981, 530049611, 26643368, 32945773, 166066492, 123378855, 454477025, 420725788, 525057445, 310175161, 493093700, 382996171, 122385563, 226927649, 831373620, 156248560, 462675930, 262829716, 5935627, 888163668, 713507206, 8986278, 118927471, 773147951, 306885039, 734202050, 709867921, 797477260, 696278355, 749019792, 633303419, 42997885, 303982469, 442995272, 893197299, 909642011, 576478351, 645157265, 984475116, 980047663, 738136709, 193569505, 953490128, 496633540, 966373333, 570469921, 528698806, 40725479, 772576359, 846855922, 755465888, 128372565, 927340119, 671731828, 211143696, 948582214, 60207593, 478378139, 964879962, 832429964, 67225441, 433276051, 611895020, 309039068, 297082442, 73835777, 329334192, 542586901, 265468861, 887258291, 191832647, 643018676, 859547521, 505247833, 61414050, 894904361, 305444113, 746228761, 364225994, 448600595, 17912070, 446492818, 88940650, 438043331, 600358245, 198912011, 824114323, 380919646, 111909036, 980712431, 143763923, 66540388, 91597656, 873215480, 187074040, 215883299, 874264350, 39685043, 815838587, 356722824, 66647109, 986271674, 114254662, 736392323, 195293704, 931358832, 643049545, 442727268, 322942283, 622183858, 611536694, 141575338, 650782768, 146605631, 107644958, 153116874, 75857484, 183518406, 434150301, 963273499, 604962360, 864625186, 940417183, 291733588, 813849297, 592422106, 127538183, 535298159, 767861471, 253074349, 79965695, 740884808, 1534787, 473541126, 922277117, 323773930, 375366967, 269001456, 505461412, 633464987, 994684633, 235940757, 83258183, 380609367, 581641814, 407437963, 955085238, 529082049, 464190844, 600031502, 922478591, 542476006, 934990743, 604687854, 724576189, 907111560, 328876963, 157288400, 579060805, 997166061, 836747364, 973163095, 848862673, 77351233, 991701225, 864764207, 636146409, 674944220, 108342325, 727576231, 119647541, 20496844, 694512349, 109142555, 610271699, 22973529, 663023945, 682846684, 83501717, 674960792, 875467258, 318087805, 818576359, 256625992, 559206721, 287224148, 175269848, 132872895, 318884026, 207310888, 640310423, 280321437, 943574242, 142031719, 90953374, 360438406, 41948168, 476667208, 424692316, 662574215, 27586630, 680858420, 165601698, 916291672, 773987947, 144382763, 1814363, 226572045, 981695768, 268798143, 469638341, 414251809, 564695733, 261405281, 455787290, 414489201, 999832789, 232617751, 861562109, 49464690, 975169353, 150979571, 332954308, 804879221, 912102871, 527994444, 14450550, 763885657, 276570292, 760359790, 976893891, 368053884, 651327583, 32902893, 550667476, 245929523, 661512280, 804622309, 387411803, 614965002, 163346087, 965305930, 99833236, 287755895, 513469571, 289752386, 185748142, 112001107, 203321793, 78710807, 83957557, 581153965, 197551229, 933929550, 288710366, 761855704, 331692240, 473228512, 31055618, 184407192, 454582832, 661493019, 966524315, 571026418, 191097431, 426905012, 591198668, 23137431, 186610065, 775801462, 483966563, 955206559, 72602673, 31734347, 784674414, 400215839, 219237124, 320193951, 98727393, 224802913, 996394984, 205714840, 811674906, 590599948, 790447070, 434630805, 832198624, 894326911, 568068253, 282374654, 322266700, 816916734, 329349495, 712051012, 808215169, 979693290, 922551960, 70485566, 292882480, 578087326, 200858330, 986934769, 410636874, 691302600, 47749011, 444535028, 116662367, 187922641, 828435865, 526308705, 149794426, 442336805, 92965073, 932783805, 608168555, 111866713, 903701308, 521518008, 976577753, 934809850, 27718368, 67399575, 918984147, 804921926, 405018451, 266079656, 831346722, 804215915, 885642590, 439383863, 601959350, 717673691, 818138764, 124127420, 864137427, 665564234, 455814392, 114849361, 46680929, 712366270, 721588150, 794861795, 3110019, 871035123, 103242621, 390273494, 962899677, 966635571, 477860706, 274391779, 904083140, 521461063, 835471615, 84205978, 243031241, 552085600, 275824953, 909612714, 583979588, 536026716, 401162418, 543956390, 368491600, 536161719, 532609341, 23003177, 310552126, 644957379, 612775394, 445649883, 101258233, 414565589, 870353690, 364170210, 739121881, 102351382, 646464715, 26491965, 551682967, 387689260, 251043322, 494013141, 600887365, 392790596, 811436965, 927707095, 825586838, 121597225, 762285302, 159161105, 368813546, 830098034, 840822205, 801314624, 442966993, 360721591, 222273493, 475571825, 187921539, 281795729, 379829955, 66262756, 464916183, 807838543, 272683609, 228037003, 292883618, 847110673, 901758822, 343658570, 212062564, 332717421, 750171688, 869999775, 910869767, 114708012, 182342441, 439727226, 87532016, 938871142, 17529474, 641978364, 950543063, 219632234, 366091495, 968356273, 167196627, 954856955, 44353608, 276535612, 447931109, 732256676, 322071904, 289652247, 709260606, 352775662, 417870200, 277859878, 160973028, 72984242, 915756583, 313687691, 565942062, 698050295, 788917654, 886894, 305755423, 773010406, 711843854, 213564740, 152945457, 791411500, 144888169, 717223627, 996221599, 914615146, 394247068, 588334525, 727514232, 335638671, 718762664, 687437263, 505434324, 589826817, 512126774, 294388123, 275361302, 177738350, 244448070, 974029754, 497233585, 365655350, 325557834, 392427350, 617532977, 876153834, 7693362, 804195076, 812803882, 381207856, 780815611, 218630886, 389205300, 992378205, 586061580, 783767908, 800894364, 280524780, 764660560, 914608629, 642755538, 437623905, 469644366, 382121265, 251731731, 780833262, 594798329, 726599515, 53598904, 479655090, 832345153, 322299657, 295458538, 894164289, 586536163, 732464109, 426276702, 803795343, 318870512, 60576151, 942717610, 59216417, 745474258, 184788379, 626289032, 453321622, 279130706, 458533018, 114337202, 286385260, 703655774, 915502170, 399081800, 402312130, 77020477, 682075194, 278319045, 156383047, 533506942, 190579167, 87695098, 972341161, 680241870, 143737869, 912235734, 891501675, 449034161, 7785703, 33434248, 366256842, 761113035, 935162892, 684258246, 988025223, 465073303, 430923676, 4361860, 982098602, 348349652, 878149152, 860932969, 698064495, 929972070, 319991446, 412639903, 739199620, 360259009, 650628168, 472558559, 15217078, 741855792, 24034456, 638612244, 361964367, 724091572, 264035740, 100952375, 878034009, 775946372, 231748957, 270775771, 344907948, 638427792, 402065596, 263055727, 185652292, 941174875, 945510249, 798762608, 520910427, 980017213, 154892626, 177602516, 796814040, 394177847, 678481320, 991974266, 650712705, 187801337, 820952483, 986711563, 804125675, 944704410, 565772990, 45216334, 466192275, 254724170, 745304066, 317075074, 132045017, 632896197, 761020612, 257893050, 782173625, 819605033, 229854253, 371860097, 847093980, 634603542, 665427130, 452772827, 637865551, 454164540, 199418230, 607524158, 778674829, 258401320, 117647831, 847516299, 206297633, 527316, 518886740, 428318114, 496762990, 654243480, 547767790, 752157424, 596640024, 61739824, 402472639, 434888543, 803044433, 511225578, 648403797, 736299009, 164551166, 781751985, 524519078, 538199930, 908383891, 417018186, 82183898, 439950352, 465528022, 565614119, 947377413, 868395879, 352417487, 708709166, 268829646, 543953486, 737735438, 616917266, 777550458, 7891068, 410788506, 245518316, 777171815, 671771661, 54396752, 827342737, 359892730, 278529136, 139657064, 745069332, 824875969, 903579425, 991015663, 816145484, 667095761, 788492800, 132846254, 969788393, 366213225, 565773039, 490382150, 643977148, 452671389, 957160043, 67914762, 697061532, 439180079, 1093016, 704337507, 230840616, 444667249, 655071365, 69148956, 826279507, 206710919, 83432490, 656870957, 49202723, 489365879, 81269722, 141516809, 740317230, 812932598, 558015072, 634628979, 639214261, 470994722, 915826969, 798821458, 648633715, 918431034, 954522104, 516241238, 313086531, 478628204, 51839316, 492538785, 529683302, 470147891, 391116515, 463380486, 765265856, 723238424, 198656608, 621218197, 656297582, 462592483, 676587632, 107108345, 774011924, 112314398, 8012842, 896820212, 796336824, 855674853, 86125417, 494770094, 450197020, 258910753, 356135520, 35578131, 14376996, 637432305, 702312875, 215210383, 706237293, 529675477, 206472324, 916200417, 977602457, 774149110, 636244885, 20572841, 292492553, 423421707, 921105438, 427873793, 219452344, 94927427, 570885189, 147634874, 592455156, 808197973, 506350095, 787396941, 674985129, 452826257, 75036949, 926608674, 935953347, 608385588, 975175535, 244862213, 867668438, 822001274, 774022828, 796360442, 716273198, 748077008, 611096698, 454204652, 837179445, 907651202, 673639363, 116631291, 386829604, 254279125, 570870542, 4224398, 59835991, 387085221, 543728229, 746335467, 452560185, 299053886, 656605830, 912106432, 926744567, 898991241, 601221363, 459112304, 681432953, 612703462, 777077656, 3025329, 292123731, 629528756, 257889372, 448214476, 789925417, 769996829, 536958327, 769838285, 42283370, 883636488, 739985453, 693655513, 489583078, 268171979, 457615698, 736130539, 404295568, 55209742, 786631540, 934902981, 750531383, 873249701, 371530919, 438258864, 897337729, 131491615, 718595987, 549615318, 588289048, 593107851, 38826345, 881363435, 477060384, 321332439, 570258069, 694353561, 286165434, 438492801, 709076661, 622509237, 564633377, 991702621, 253154502, 381965881, 679356886, 343598834, 19719083, 89210198, 161050193, 111056881, 412249174, 650289921, 555955879, 329562104, 951625977, 670371235, 570657081, 415729291, 696582178, 345276912, 764414712, 412828278, 983619025, 45799396, 500024509, 751880393, 664882192, 855774950, 980574954, 47403979, 68234020, 657824458, 131306824, 177355960, 483079993, 264515771, 513053474, 81935744, 247690484, 857395693, 692282775, 132259121, 275257634, 66022173, 181068379, 733444945, 762166399, 934262831, 379098734, 658659318, 566587875, 76819664, 922526411, 166945768, 713959006, 640673010, 787436587, 425689505, 41350709, 40809980, 143007079, 795909367, 159291253, 387572907, 54407739, 551761083, 766783761, 576930027, 180043345, 387761643, 713366539, 772160373, 77077576, 519727922, 427492805, 528034230, 21279411, 145127917, 628410377, 546309572, 546790147, 744428253, 903104601, 169458864, 236141611, 847513525, 729165146, 394754308, 685673703, 964666006, 300289735, 907730804, 944535392, 592767041, 503787752, 361616056, 514488249, 440700483, 936304405, 901875157, 860973341, 338594326, 397489613, 457092813, 125861098, 53762492, 361799567, 36611708, 926598867, 249341000, 644707234, 165591954, 78111101, 494716750, 248484253, 32635973, 229064045, 362544105, 392447507, 410694230, 636076547, 848352306, 776951753, 4423650, 550349799, 572219665, 423011144, 882503798, 598551932, 627299490, 609869987, 631643391, 799939393, 481998230, 940786620, 643040240, 901440264, 576071348, 956596515, 855187569, 175344891, 816746713, 410175782, 105388097, 849433004, 978728952, 419341271, 988554511, 923608802, 62972803, 78981882, 224793511, 41173183, 132715077, 545946646, 992302772, 312111314, 96647931, 879285335, 470866068, 472227839, 634208006, 364216086, 845969337, 85774940, 612455959, 651322367, 82398401, 318825898, 689819754, 202712002, 812855671, 531340927, 500283006, 524288160, 619881087, 245922835, 860893569, 440234490, 700456595, 778126889, 227217215, 289054995, 631683847, 461627534, 834095483, 191088531, 900098811, 64374128, 79017279, 567492717, 667333874, 75927726, 882703130, 653608433, 203245054, 248569914, 860565551, 449226165, 402964569, 506085069, 34662553, 325988739, 8074480, 708216356, 910954960, 371900417, 918607079, 276546114, 936244195, 596763749, 384511805, 992951978, 412963820, 723001015, 780583209, 383408740, 815079569, 951280831, 631656358, 74302029, 970120280, 244187901, 269198107, 570090435, 814022594, 955772265, 898839077, 412439783, 659272495, 891863297, 810105771, 231919786, 792089459, 524138679, 784219523, 666130284, 303310442, 878017574, 552283481, 537304401, 395718219, 648110750, 474172996, 216558093, 551212054, 906989464, 681696048, 496583395, 13014889, 460577570, 517703201, 21793957, 61403556, 722885363, 642995281, 889700493, 181210985, 634085056, 18171155, 679004411, 115795981, 597542580, 617667594, 209993656, 672003746, 393606560, 609515466, 204529604, 795260339, 440162325, 725269933, 29206980, 818786002, 804852299, 347150475, 26875881, 668410949, 842328308, 265026531, 765158372, 101705145, 716111015, 468176773, 727440806, 220401855, 593237273, 229490791, 448967071, 268212830, 953499890, 430900749, 569085284, 198872094, 567921270, 828051365, 88189574, 241850884, 352219989, 526565988, 492105785, 289925728, 909340542, 450463698, 687450878, 81473198, 973553328, 485448871, 753662175, 476071443, 73550588, 577654007, 163321700, 85315822, 745429451, 765206800, 939827772, 875963481, 743263350, 293817491, 630182081, 496827089, 817321585, 145171851, 697521600, 239509419, 155231912, 280580260, 697567793, 136609723, 120695596, 432981589, 750490258, 334026853, 484256240, 855800664, 849656113, 680835466, 530102635, 334336154, 519976095, 487584884, 500414262, 773525893, 263516442, 219474183, 907111604, 332537952, 433959397, 525813637, 645865700, 966845350, 889170495, 330797924, 835371408, 404626641, 334938854, 301780476, 314704877, 5927504, 828120981, 625871976, 612724185, 465268710, 139857856, 423949188, 250263767, 269162447, 133973142, 436353933, 945531027, 420548688, 481668853, 233084409, 419844797, 324686364, 823700817, 28684202, 826674160, 237148702, 327044276, 413174733, 514506882, 22544627, 293574881, 199812281, 244627027, 108618091, 508367116, 533877532, 698929438, 872658180, 309226868, 858572015, 455833626, 311822059, 778007344, 615373837, 657285052, 422671164, 102165814, 672993253, 296552528, 984561714, 396570635, 259412694, 262958464, 557750676, 743756848, 385070208, 357139391, 812415756, 776235466, 524368647, 276404479, 537683230, 729322750, 102160572, 586819620, 411324656, 884262427, 332909809, 600814843, 948990041, 399818652, 542112665, 187197822, 597252619, 600125853, 637647506, 544526832, 830127995, 617658269, 786681117, 565577862, 396826486, 153470554, 751416426, 508343683, 666794332, 608513467, 218849866, 496278583, 793184317, 644492316, 448446237, 64541586, 280767354, 393587597, 900358101, 576199471, 392539489, 168128812, 802159795, 545613990, 822456303, 431787134, 415304249, 792678869, 65677500, 274923574, 730533137, 139541209, 94516175, 762927462, 36897881, 799724385, 417610070, 779674174, 638302105, 939603468, 506277941, 546412843, 225684, 42997503, 369092994, 463914790, 378041206, 986977370, 435220144, 937748452, 147381396, 527275705, 963863390, 838770262, 809699519, 146215117, 296210905, 916398315, 381406954, 385221087, 459317093, 170230458, 986238765, 699049128, 292431221, 141530404, 117797892, 455525345, 256555399, 666467778, 939499067, 420691638, 115690183, 857397295, 369201016, 280257691, 707679067, 694182194, 815489247, 630024650, 62491526, 610661671, 468625537, 332972997, 33361760, 720944887, 685630975, 499966768, 165062098, 9563415, 114981388, 596289114, 564174217, 414592399, 732164890, 330546863, 792598267, 449352001, 480865981, 596376355, 639951600, 209817480, 283395779, 822266252, 54748003, 45690187, 122109637, 505823800, 326151015, 358400737, 73837174, 13972919, 766876242, 230631016, 867984102, 437242560, 221817281, 775566548, 221746374, 392979889, 455297600, 23626541, 271776741, 34500403, 282087630, 360462656, 706737466, 945863947, 841967608, 564662504, 516315910, 335102676, 252632236, 988450464, 919398147, 85119231, 606268843, 100268214, 620747724, 178919376, 726707942, 496613764, 745024029, 261992530, 253570057, 858132387, 472472174, 593728303, 327914959, 216421901, 446648858, 534878636, 665058392, 880813853, 299486483, 189203199, 858295416, 528657051, 629022081, 163486619, 622365914, 350852143, 751009730, 249753455, 748433547, 218120833, 507180868, 911115211, 59841376, 238744901, 249649260, 780568740, 707527508, 781476183, 110377533, 748826752, 716492568, 56528514, 902289048, 861299606, 883470205, 488340975, 151569517, 265660145, 679638041, 231951854, 995181716, 874497547, 191189755, 300166038, 552245348, 751360289, 457106583, 848878418, 798734896, 210231026, 932806680, 275253516, 132707267, 650354000, 545375181, 111842069, 514933207, 506736283, 763012410, 166500160, 467255815, 835728024, 886337719, 7423584, 401404087, 348995925, 906530252, 27329724, 195431881, 602829403, 708200851, 756557429, 836582872, 463807339, 848898327, 708674549, 344406822, 726560471, 201707459, 424898550, 243058951, 347398986, 990640001, 43278402, 304626730, 125029228, 761461403, 296500759, 556557819, 234854864, 738380400, 615538704, 55973811, 909351836, 108913710, 129457895, 69389340, 239606469, 470665490, 89105499, 589333495, 585279497, 553119914, 577779882, 412885735, 337363130, 344684352, 500356824, 761192668, 227675827, 548908931, 339834126, 191689423, 23255804, 25899994, 305323570, 80355921, 346507605, 125949268, 483219314, 533612708, 538098365, 374500291, 55074958, 504839840, 104891452, 194243473, 358666429, 661037675, 300094280, 49545714, 54786773, 32279794, 543919390, 818805324, 311068533, 886108551, 66793683, 927911011, 198981426, 643826860, 556078974, 540408232, 715531942, 152341837, 936043466, 816991944, 892278862, 435558112, 352193230, 155808563, 223923779, 183466745, 46962780, 378469678, 563368937, 981012759, 758061531, 316354699, 876198285, 363050383, 410625862, 749888536, 63226210, 196556368, 90784624, 481776393, 707634356, 733861093, 378216077, 747026400, 360437925, 370998997, 937363520, 512403871, 764800668, 31295508, 415414821, 499087662, 667897864, 837728252, 898924818, 492976663, 41623519, 699884705, 946894626, 378252855, 32850173, 427961728, 801113015, 29142557, 875833946, 916800261, 826524401, 507335150, 30272771, 250348252, 231974665, 50347644, 43200134, 909235590, 959656527, 734310847, 395571189, 251705795, 45163187, 666680456, 635392353, 190943831, 659985807, 597256047, 89384145, 526899415, 961156890, 853963877, 437021427, 843492168, 906872321, 684812699, 84793550, 876585623, 309615500, 181578226, 202684043, 608297473, 977007229, 766896331, 280330534, 863059731, 38329256, 465286939, 872683566, 213855020, 256429573, 640624282, 820067827, 847017955, 276034649, 7201311, 500648246, 438603590, 258331170, 372678923, 25133011, 903168859, 597308779, 158230717, 865964699, 981453012, 286857750, 443247972, 11790168, 188720686, 547172030, 376363023, 609683144, 428614632, 915373570, 509018488, 191937709, 123045756, 861212877, 16877136, 97699742, 502840819, 879212773, 382957991, 289983146, 719564206, 46779625, 891853354, 237707400, 801278201, 92257839, 250923060, 297390723, 279796271, 247244642, 371503988, 872486430, 964203989, 409092985, 226029674, 487283298, 914850196, 96008465, 319668324, 4695367, 775160292, 791521060, 955942438, 692409700, 485512970, 657696622, 661281474, 401892499, 842317887, 216456950, 792752416, 79451270, 922131916, 294839334, 234141295, 852951179, 926568728, 579911190, 28620941, 182976160, 158976315, 866936130, 848260973, 341740042, 788480180, 332009487, 738572978, 651410322, 442842075, 670243602, 447884846, 390114538, 21452290, 232503372, 351034677, 353038149, 932544268, 569157823, 397415061, 609426261, 138432648, 202767729, 661814990, 956335343, 126843779, 384440535, 505571778, 980226854, 205448200, 866311079, 785063764, 487443575, 775721175, 658150361, 958999301, 581709113, 508925001, 867836012, 250251595, 303403046, 558275857, 540537670, 519339405, 888782612, 849827258, 374396963, 44165798, 591719875, 402343329, 24350016, 190836097, 380364073, 498561891, 274091866, 800216719, 987961989, 497901878, 43461330, 700290446, 440892929, 546356396, 651446615, 160899048, 829343559, 116293616, 309843921, 102442901, 439391982, 237783462, 503943874, 898365646, 125014035, 606192718, 434723858, 375290967, 125876818, 507276353, 5830030, 114251510, 447579051, 475349555, 277690344, 913194321, 781810767, 459054424, 327542948, 780086815, 205600525, 810446607, 173832714, 558593781, 527565107, 606743237, 323302728, 979134514, 499936823, 663322998, 974851249, 107490351, 439936812, 586355137, 329663100, 401748901, 524960854, 245283367, 504492821, 162422113, 331099537, 689126379, 937382179, 102392915, 177825665, 763423223, 409488099, 315306249, 906615556, 282474948, 677353915, 415943106, 557791799, 305745405, 421455224, 454508527, 940299741, 183998628, 727705724, 925110103, 894307173, 363647427, 713012420, 22532035, 660284583, 11828639, 530583137, 955063017, 781430665, 944008165, 276296892, 458495592, 888227965, 931519294, 696994189, 413990725, 383339020, 768207525, 352984195, 537296036, 383944913, 858381101, 699690328, 905103450, 439535625, 658405217, 720202498, 601398566, 704596860, 369863420, 663730969, 278214691, 55641729, 698693068, 486794840, 130481722, 634621766, 379166910, 332971774, 159388572, 251167744, 561464420, 991181935, 178262956, 825929209, 462210031, 864755480, 712185089, 153997407, 786524845, 35889050, 259124198, 119710533, 904017084, 100425467, 155269054, 867768801, 579753659, 842290148, 186742776, 418921551, 211185016, 213742917, 155781881, 501537961, 222663062, 148661954, 890698166, 356966631, 614378593, 471968853, 843996490, 572924322, 24613238, 124081443, 142313821, 979119853, 688899150, 564091061, 545766764, 213765954, 612614550, 867898770, 992944106, 373847244, 459726042, 907544974, 149815555, 19133910, 691260535, 244327437, 170322599, 166687243, 884283747, 882934687, 428267603, 524775519, 190312233, 19892236, 976144914, 24096898, 606679946, 343277347, 522368157, 181783325, 545237035, 937638705, 338068696, 42304124, 900164247, 180492934, 63039260, 907008506, 362179153, 177662829, 245446151, 344263710, 918698183, 795666921, 789205924, 486910270, 501544911, 558021472, 646484670, 357458234, 255909001, 170520381, 556054427, 471524195, 17214972, 69367764, 848063147, 327541364, 595392862, 875714342, 903113896, 382921395, 716097696, 711586273, 267967551, 452344407, 880009039, 28783344, 779242954, 77060562, 481086139, 360343136, 108177268, 8598763, 40848594, 809123497, 797113363, 13979441, 483339819, 896058347, 598988857, 919954268, 296635520, 107557249, 119505943, 812365724, 835542344, 678522088, 2743322, 626232930, 936205306, 246546919, 553078520, 334172963, 545105537, 484990099, 473636279, 996426651, 606617284, 113556733, 498837594, 826832860, 953247659, 657337620, 741533252, 739149436, 811481603, 495831105, 805543385, 246516753, 387285761, 792205130, 188466744, 925734281, 97103027, 990239510, 68588072, 926506843, 293751142, 20877978, 248092379, 818957877, 752459570, 894149980, 697924344, 518227142, 182171690, 123134231, 897644960, 780350760, 911436156, 541502543, 503251539, 331489145, 746339985, 302925112, 384782831, 929827443, 710478850, 174099936, 628776506, 754185193, 644809381, 344637037, 365139008, 918250829, 890138354, 347251138, 659973668, 906714914, 87830316, 806369729, 579738007, 828415710, 905860092, 337866453, 949482296, 946507105, 124298559, 357098308, 851734768, 562645173, 527817579, 957662326, 710678666, 35029286, 141192566, 379756881, 315311457, 734890957, 620019330, 420995922, 363281371, 553313209, 582770718, 123173546, 776433211, 248627708, 935908452, 889157617, 767195579, 212855103, 982150151, 424306659, 148567917, 706111525, 613721683, 831533695, 811482223, 365507720, 737834911, 840967903, 588731867, 864415759, 720731220, 189144708, 258581450, 726794634, 845556913, 946594141, 225275837, 145432171, 302436733, 555236481, 21427587, 587896816, 183172551, 348751876, 980253513, 640104576, 445012454, 617926677, 769443484, 207457127, 459391019, 587884413, 987216028, 116096532, 352920058, 927875340, 763865983, 228297117, 196880980, 503959725, 976331708, 936634556, 234997151, 658918949, 241118641, 752349768, 321775034, 475928318, 625386233, 626447830, 270016662, 878030359, 696947796, 38522765, 300421187, 838257225, 431346489, 348004130, 797291521, 420351692, 912378372, 531937948, 2904073, 548202614, 198769456, 844684035, 633245563, 160486554, 165546420, 786075947, 173909195, 896905728, 695171859, 657216987, 281645645, 754702588, 472281440, 3997669, 867303133, 838833991, 772972692, 212257253, 557166224, 40567206, 99879901, 849909818, 902676048, 181480704, 956024786, 773838228, 935013661, 426119407, 825423274, 892951399, 357137028, 64037843, 570189418, 295046251, 425017233, 51247859, 973959001, 946244520, 614061128, 781455514, 972614609, 696146631, 521032686, 133860682, 959875993, 82183382, 139161703, 279322483, 768631545, 710474713, 651300672, 542071466, 951676897, 495986378, 880285913, 773083424, 308423475, 277126591, 449383133, 7726186, 169978299, 422293608, 536207064, 550260657, 878274543, 498235037, 965978073, 225097053, 759164300, 719657282, 513146806, 682914779, 260201109, 694984536, 205975863, 12383496, 518877660, 748121550, 408196007, 108709300, 963427875, 734031080, 849023573, 201429092, 609315666, 621806624, 132174241, 595967507, 258768390, 822288896, 935995708, 66030739, 970974589, 728425857, 88193748, 957615321, 720758678, 594586857, 482803770, 574061466, 221581926, 902122152, 129251632, 172464764, 111645284, 649544137, 376011398, 981373832, 99510149, 322062494, 549042905, 32239745, 632782304, 475954, 727380918, 5146060, 697172694, 52704761, 907286709, 10105196, 443638487, 180435053, 775585849, 322179685, 531607693, 466890608, 853833121, 579833264, 642627175, 785604292, 922808630, 197425785, 218776142, 641056039, 452543051, 397383922, 903166312, 677463527, 354489745, 761351967, 985080563, 219778406, 581106113, 272432793, 291405435, 645643057, 155139137, 576605355, 548037512, 673265462, 980259800, 206983569, 9277482, 349144951, 428308395, 916379262, 214184430, 96256386, 200468746, 794862337, 214479529, 297767260, 395999407, 427501082, 819584564, 244769277, 351072414, 687600704, 743294089, 912675110, 594716870, 66584939, 966250320, 932427325, 547766184, 388102572, 835772940, 7974684, 705962708, 664799181, 352765685, 49475840, 847713140, 830434093, 536887699, 603000036, 135407433, 618920050, 585927386, 817330490, 891185141, 221711434, 253875591, 911074386, 160743379, 153432301, 178149838, 862638119, 636596557, 756630288, 200391227, 574466044, 596736109, 598616143, 14879197, 335762070, 996826887, 908271429, 388621970, 487538025, 163104572, 996108040, 536123935, 584453867, 882283697, 117560809, 259541975, 182772280, 819948279, 89264416, 449036357, 676988152, 598860070, 720906951, 556689277, 450807449, 507426058, 858758621, 140926833, 281547304, 521255171, 138533966, 214258572, 530390608, 467581644, 45221833, 669207039, 434305708, 748714357, 728770708, 405203926, 960537961, 717320121, 339643766, 14908435, 485544927, 550818862, 506939994, 696859470, 925359216, 988355999, 135588002, 538287948, 607755575, 24062955, 357866392, 677641500, 839651492, 469980255, 249399681, 337211831, 54969732, 340609260, 963221663, 880478117, 732781577, 280371762, 418468848, 744629258, 125380202, 356713790, 79693156, 405213903, 197592840, 174494699, 324213536, 235448412, 146214242, 790579918, 910727713, 471421598, 529270537, 656538006, 368984664, 834044197, 412394767, 496941147, 334487799, 672077241, 592956255, 896296175, 894401845, 649841356, 180212586, 858042869, 642482850, 441725102, 942682254, 732279346, 582580336, 273903172, 372307407, 332234231, 66333947, 526117717, 749664151, 459857426, 248160828, 225717648, 790062680, 77236154, 419653995, 821166783, 397544390, 280128042, 943600161, 264702671, 114352431, 11599334, 622532225, 802214998, 922346, 172559713, 683685941, 250557921, 607595193, 725846330, 341571312, 493773439, 1994619, 164808640, 437532097, 668472869, 434993375, 161095196, 788893648, 706139106, 750295655, 897268456, 615022653, 818800405, 434790152, 652085260, 107182067, 534960655, 30941999, 399581804, 484659829, 400491966, 240865672, 610631292, 747690168, 598709032, 650793969, 214403426, 169620570, 290760950, 393871644, 549403283, 407333390, 747690225, 163215833, 664477184, 350809985, 74078985, 689727500, 701103044, 742303141, 700667100, 772322457, 577985468, 33707910, 123352122, 592484673, 995333186, 708371729, 766944846, 574970692, 254781940, 541708397, 192190717, 732566421, 970594654, 190304906, 343122170, 184017886, 789780971, 235670826, 227529193, 470480840, 37648794, 689387113, 202966054, 574566232, 804770098, 759653013, 798214662, 327599851, 109494921, 245053572, 312138325, 747072711, 884563601, 679956528, 747217584, 633992640, 736780402, 373895678, 977582016, 768862443, 231121174, 218786911, 172846506, 534857325, 640442804, 50286004, 223507040, 63358199, 47640394, 777395478, 151842594, 186438425, 967784508, 929436148, 40690597, 490496427, 690053428, 598271283, 362014543, 416237935, 5141164, 940325817, 390137499, 826883440, 956963276, 794776354, 528230307, 985452332, 448218148, 45701621, 859444276, 41293330, 288343550, 766589685, 975593080, 41427159, 733961567, 178011131, 911222165, 973610163, 676799941, 44550913, 453886101, 691129800, 832556347, 967085573, 612817598, 988174766, 426871786, 905658570, 481070334, 470479757, 635208009, 877677907, 529168890, 100216632, 167416604, 728490267, 48554472, 933249436, 62680778, 75974806, 420704481, 960541669, 136180257, 840809100, 805988582, 543840577, 893217221, 296243460, 10161384, 870645084, 78310377, 891549330, 329503648, 636745435, 116889865, 123588229, 758874443, 937101217, 409878830, 996019463, 199209522, 191553278, 283010534, 861441024, 407528222, 209295046, 524861539, 63199021, 2279819, 218141595, 461324892, 996046776, 827022941, 958321836, 391046866, 505055038, 326486330, 870009919, 181847635, 232365710, 459173621, 586236628, 879717612, 249203751, 153392615, 523023101, 857306172, 925699895, 118956408, 508393091, 432790089, 237500699, 356281584, 742554552, 946310947, 978542671, 535522123, 625998780, 103429283, 610007369, 639431643, 134016987, 66119474, 61112638, 506563181, 570471983, 895132727, 498949435, 459971124, 249881230, 138978320, 423112666, 315921994, 88997362, 585681619, 880712045, 138221813, 571206056, 432845137, 830911181, 73220146, 439876119, 227119702, 564744171, 984943360, 514625649, 993409496, 34456918, 335484318, 175085375, 12009487, 224819623, 458700869, 233059406, 737913424, 241742672, 120421402, 829212830, 160515605, 141747960, 872283025, 206923978, 948413863, 882340115, 884403857, 438714362, 138734905, 924791619, 30474198, 392457538, 971554813, 208861957, 463782274, 258734454, 522928168, 554105121, 834831562, 707465442, 147385827, 469401887, 407934237, 956557509, 586732404, 286273033, 9439438, 427336457, 405453540, 734578789, 75777251, 743536553, 312952551, 807201019, 719229141, 18704873, 955396200, 925274735, 256535340, 75976725, 293996987, 96464497, 662532954, 629244412, 228373197, 2251376, 188220214, 124752392, 927956699, 556292031, 945164321, 612397678, 936173797, 565616637, 55344386, 831949901, 188703119, 566541683, 437174895, 513794248, 88308412, 74704734, 222696142, 810565375, 808023794, 667631724, 671823562, 15585503, 394588763, 12632164, 225788257, 985416553, 789039465, 269777200, 388455753, 241991996, 161298600, 542797998, 29055703, 630250597, 389807074, 560417903, 789087885, 876092352, 707403584, 875354069, 63512764, 23798842, 535478904, 839354711, 156817066, 816591472, 847966224, 405485816, 992502048, 303670794, 792266559, 606611261, 357945754, 325927609, 298144288, 364755983, 16354151, 182077745, 483541796, 505830070, 90800549, 776837831, 438657269, 510240377, 81878039, 909318643, 882767291, 744582804, 210307312, 287515798, 653485572, 731724493, 301225037, 143181092, 847897170, 401389487, 852645156, 326111491, 856111092, 366963114, 663142914, 891204192, 218974434, 578682162, 815578315, 374001676, 144821451, 472824044, 384103551, 987417480, 640394281, 178846731, 419824749, 127060054, 244545798, 602385471, 547927694, 954786848, 953538526, 934731307, 238895497, 42668070, 997905616, 357284621, 816901224, 235553760, 637635019, 104691758, 279223423, 530640007, 538909175, 93179652, 137708189, 565686463, 109059019, 505041412, 679026520, 807935414, 953371576, 991631087, 752290960, 849584241, 179728441, 52288403, 471210852, 493818908, 561381371, 79231197, 823631973, 677242455, 235216897, 56303160, 74994289, 289729481, 480884679, 242776241, 597217227, 57046665, 723392081, 87995894, 568402591, 633085087, 553242884, 76967736, 973473687, 977269943, 939060479, 236346759, 307574471, 548827408, 238511270, 607830769, 579318842, 90554404, 589652761, 536117902, 358169860, 839391444, 243362868, 762139888, 548925830, 930639844, 928600632, 167161105, 856187412, 397456574, 855502146, 54378365, 489799824, 21921949, 971765922, 168564168, 474979166, 499886006, 993764123, 991552839, 395273030, 323375742, 609140840, 444139243, 851140661, 831903750, 549711905, 439852353, 677306112, 28062859, 233786291, 90022157, 148797798, 151033868, 338426910, 118778440, 64185437, 311852612, 382264739, 199334700, 874797393, 837449793, 137045101, 741141912, 764398166, 645854725, 52899497, 518483978, 899224637, 937631544, 278301410, 686325646, 983625782, 75834074, 656845285, 325485715, 15231346, 208228923, 748981614, 94611302, 80092524, 461452957, 309936111, 179154731, 678894565, 361674154, 77414080, 955280064, 279946708, 818061092, 151410450, 979660792, 28747351, 232710251, 234525915, 82412799, 420696669, 216650111, 201390630, 195452140, 402148651, 360033369, 339941384, 110368570, 558865647, 854774039, 458397599, 47689154, 879538328, 147187060, 148597962, 201965620, 178378363, 901138785, 556536551, 362461088, 97279837, 283678855, 638634652, 305056112, 66673850, 375058007, 213504874, 590865712, 289373194, 348600478, 468046815, 920164515, 550581595, 368021395, 761821403, 704402017, 222699276, 183071783, 984627181, 625478677, 312646600, 802477541, 316721457, 594940898, 993356568, 564822351, 881152123, 425399099, 909206342, 900007277, 854954341, 123066083, 613351794, 721946950, 1614907, 56470973, 830938456, 857834771, 388971484, 590500533, 33820835, 887986442, 679675220, 116734194, 968297751, 824830031, 781459631, 863211121, 965965448, 213237771, 542742863, 663779145, 303746323, 164792166, 601554881, 492588745, 887839589, 284563794, 127449792, 541569747, 341386844, 712719355, 551845840, 330865970, 965243966, 510022626, 92277597, 519100917, 556995751, 131196484, 799101001, 604386500, 32607587, 955857209, 737124038, 298748379, 771802076, 478723150, 521737127, 103447350, 45624085, 954944717, 497867921, 878218662, 655076141, 650093540, 355113226, 766430760, 976935339, 312914296, 134686624, 309919478, 250460497, 595990014, 580010718, 165452616, 635106454, 163266029, 386308218, 297213713, 684144629, 413032858, 35015691, 796279677, 149719926, 50248479, 492866972, 518841732, 936558986, 497326626, 746329640, 923857349, 937104309, 925339167, 204160254, 86334603, 749061765, 943666102, 433414758, 972347360, 389897807, 900779609, 157513719, 786321316, 78351510, 186214580, 672925056, 642392393, 229968294, 630448905, 688664936, 979724689, 660936740, 249588028, 451154857, 327364503, 747544041, 457640616, 708619755, 346129863, 423635682, 923567495, 209309993, 629377211, 723222266, 810213457, 332713404, 821821352, 319824599, 516480654, 936720964, 65729115, 919991597, 541260414, 343197303, 429371507, 345713013, 250448528, 14189279, 979037470, 226076680, 131347918, 603209236, 515102331, 249516437, 83202974, 933271132, 564260202, 506823408, 625139590, 671506930, 146427613, 162715498, 506956471, 308059018, 808066128, 700875276, 164086265, 240193129, 131309642, 230153350, 874207135, 981856827, 226658793, 933991643, 384576778, 381616436, 68612374, 929392133, 727019245, 813617889, 181342357, 867408156, 17402533, 9591570, 391533585, 973239968, 372747648, 387285947, 174723808, 872219108, 573589946, 488290672, 718763643, 840682925, 346788784, 191104474, 356592058, 186900455, 435608532, 652980281, 844359774, 499313230, 923372729, 848981597, 360604722, 931579095, 530077117, 344789266, 128030394, 538059672, 201058822, 354269657, 795170300, 46988854, 833467330, 622491787, 774412964, 488881226, 685721684, 592777622, 732934099, 740487815, 541622835, 759161960, 365496649, 900743943, 20767609, 754448033, 453983632, 547605318, 718800767, 262507072, 276126485, 58207078, 635929515, 519985672, 291447907, 599357574, 753342337, 159225410, 73403929, 97714166, 84004622, 368013065, 873199974, 44183454, 276257900, 537407976, 790960789, 151008974, 268728124, 6796065, 822851275, 340714887, 332501227, 105839661, 932850091, 2225462, 118072807, 786577643, 375226513, 999436956, 169015842, 554925874, 517932133, 876967023, 257269480, 325045611, 64671623, 992053957, 77192470, 506165744, 826510809, 551119331, 490457682, 967009652, 446038635, 354493285, 8445503, 185116199, 424131892, 928587129, 158402364, 831486768, 902256724, 366359298, 780523608, 515703628, 836341583, 875254471, 936555612, 916442121, 401718199, 534970233, 259888876, 580589855, 590956014, 369043898, 97512651, 702012316, 787426333, 87064035, 259518787, 853564148, 140169442, 933363159, 775947294, 723436712, 115433032, 249822938, 947282828, 250229432, 192809473, 675197211, 412681507, 731035895, 438220093, 1299443, 522730924, 235874069, 654094422, 638636915, 491318617, 716816090, 915140727, 586459939, 315658276, 956173662, 447340291, 268348200, 950086773, 525720528, 411285115, 244706014, 149562713, 987062280, 972317332, 705359684, 408633249, 470426935, 812363308, 53513791, 524219111, 735838143, 194592478, 314542104, 436731456, 734218937, 239187061, 114150649, 123796881, 104961538, 428491002, 723209136, 157612994, 798566442, 114038679, 303028738, 288546280, 14896023, 914307270, 421370068, 64544821, 972582169, 648904716, 319493793, 738954079, 612142999, 871028833, 625017976, 506871367, 736798862, 823546375, 980718244, 224031002, 245903696, 771864904, 179992740, 200983897, 168104064, 438734809, 357181240, 388298543, 803587121, 366801074, 920302786, 474253808, 384525192, 660798387, 80236646, 75350931, 206860908, 494671008, 983708477, 432080890, 938625968, 531851862, 882405039, 936151401, 27017252, 215151461, 739241405, 155645928, 153854661, 536924100, 19296916, 20517633, 858377345, 286953545, 377543790, 720002733, 449355212, 929385922, 248261024, 364250284, 931107403, 447658613, 729185209, 925075654, 645525108, 718254056, 485692488, 776276476, 606231095, 439787477, 850171576, 42313496, 165109681, 33889129, 611545233, 714906586, 975967508, 65912905, 598225615, 161151426, 78374580, 322003433, 169450095, 11266540, 339670728, 121862230, 218639402, 266315327, 910959403, 51333918, 712163529, 258794097, 887427871, 328571876, 721848299, 22525706, 920614624, 129695699, 447635955, 158638122, 550656073, 56174381, 933017812, 1455855, 143217309, 725917452, 892851494, 427122829, 66135344, 982572134, 146650732, 450252915, 627993606, 919838189, 549582479, 427262842, 857357072, 855573109, 892536218, 336435013, 933508302, 756956001, 813903024, 239705144, 406983873, 393046170, 39756835, 161411330, 551427950, 451332493, 528831502, 2300168, 317718575, 374984575, 236680049, 436422393, 168590014, 810197305, 846734445, 118661735, 134041372, 344772948, 121460070, 73649065, 80581720, 482553392, 528202712, 738142731, 739598252, 90693690, 838904109, 643042677, 836476324, 341173829, 262415735, 453303577, 886871059, 753156140, 270879570, 791626521, 526944027, 822684191, 650282197, 61177496, 612803681, 415361080, 681932251, 625237658, 738503519, 430479888, 81061638, 86354775, 305710426, 287898419, 76861785, 827335455, 64025053, 786111349, 61932477, 191372161, 708891423, 457484777, 160332219, 513613254, 506229347, 369519698, 489134484, 213850746, 806359717, 492000889, 914010637, 9567627, 543143922, 525877243, 301345315, 794555753, 235695934, 27351800, 498339247, 545727518, 663460590, 671033785, 14313321, 220803145, 924804508, 170765935, 328347698, 422057464, 421206954, 910321426, 603437112, 77703273, 628939494, 999775690, 909210824, 739476996, 805286765, 567211764, 599987815, 250793383, 843277832, 913534903, 352990966, 821846600, 736155261, 152540269, 642012003, 947945796, 128971873, 82126173, 635985788, 175454933, 702325326, 696017189, 369266773, 58274128, 589091440, 650144482, 183871569, 578602362, 936387616, 120609948, 348055661, 66760305, 728389869, 32579773, 553826853, 917071766, 475842075, 463263018, 85375969, 673184088, 124363371, 842320319, 21954077, 897249950, 77929946, 811506583, 460540329, 503432924, 556496230, 174696610, 877220919, 624338502, 741574657, 72209927, 212904338, 20050059, 431766006, 244746640, 118842916, 859312022, 35319922, 759179399, 409276170, 794989185, 81618193, 83362611, 976472520, 890003444, 957277438, 267622178, 668624864, 977777814, 98424722, 975991716, 198139011, 272419893, 424963616, 404758665, 35914173, 492677297, 282978751, 101119169, 83412184, 954459679, 273989444, 77063583, 962018903, 180021932, 574871343, 136860883, 963074951, 769669373, 615905925, 977346629, 265827251, 931022358, 160162034, 407507737, 867056647, 851732056, 400680143, 388023040, 835135807, 796126934, 255605978, 1660846, 711364005, 388335915, 773306241, 74545850, 849583848, 902917633, 817121187, 91496444, 573835785, 539240646, 924547397, 292096976, 421992516, 200183044, 77201579, 404857073, 258415258, 183536097, 378242635, 399160116, 918143152, 956711964, 333432485, 442309143, 629679988, 930346753, 427853136, 457735177, 697713128, 658254593, 316472137, 436230680, 658417023, 860022276, 690086330, 276508447, 173405422, 520728774, 985785315, 926017311, 754635885, 980677511, 703047392, 121169632, 65779674, 98826736, 93368467, 885556704, 752957167, 973110172, 219918650, 354106478, 329107546, 496209367, 360930654, 785588446, 937729323, 964595155, 430895026, 871161639, 513018267, 620914649, 352309748, 26834511, 77090502, 914793038, 929704669, 111651143, 387238338, 542366151, 90491071, 167632219, 674170315, 848527643, 968918982, 388398354, 678124690, 440864721, 799480543, 951713715, 470521203, 613360481, 997491797, 15919614, 158328032, 750798785, 412890396, 327117530, 949301928, 432587178, 387399183, 426743655, 757620192, 891858449, 177593377, 210701993, 803634174, 954625979, 489147436, 984366598, 27237179, 616070344, 272001179, 38788503, 82875118, 697456363, 52695656, 988504358, 420135592, 447702830, 483733739, 935223874, 913607512, 377809160, 872222311, 449852874, 130878518, 552022179, 632758788, 625199318, 665840055, 635448203, 800183013, 561332091, 22093161, 766014672, 187139214, 132340889, 407830840, 509332010, 939687413, 160780133, 392097084, 102594301, 392028281, 627197165, 573505524, 438369872, 513357251, 238522528, 635055588, 266973249, 201081694, 399723218, 297754961, 464243801, 115032340, 877133348, 312042471, 334942955, 598278786, 236196272, 937554985, 98867044, 351959561, 962811729, 543102763, 579894639, 868823259, 769288704, 190791414, 539633889, 517852007, 962297053, 133742956, 56716334, 478914107, 941045890, 56494253, 204965552, 618499946, 9753811, 435281555, 777506798, 263997819, 981392378, 255907227, 510747790, 878421435, 519850142, 401220730, 956429893, 619932320, 717196086, 585717282, 183726207, 657196934, 201614840, 456041452, 632920166, 473293420, 831267110, 348537694, 656623710, 617066125, 704875443, 111354529, 969658245, 572880405, 594422054, 638523070, 117258404, 116737896, 375860759, 547744627, 646977602, 607314166, 294917709, 456438791, 581897379, 310556775, 903731795, 953947248, 262151622, 350055065, 850703057, 463327974, 884052516, 676540548, 346616558, 461845655, 292490984, 623896661, 813892740, 572711631, 549569830, 897323813, 834071539, 378705355, 295994016, 746097732, 213062767, 675241259, 10620023, 904133478, 753643195, 611859914, 784180728, 662131080, 280682104, 281888645, 344016080, 236747904, 141547581, 70650473, 296222485, 742901880, 487503434, 700557381, 395399303, 140635401, 784811398, 826280881, 934562935, 199827264, 299189032, 397244016, 179301656, 319660654, 52415336, 100896644, 504077933, 115502502, 682919782, 548377847, 20825942, 632402932, 672035575, 658972112, 197610108, 247652724, 661660274, 236995906, 759891375, 638038345, 703458672, 223259536, 716621023, 898379706, 50278929, 249545765, 564143590, 621067617, 437313742, 954771477, 893746920, 88889814, 601318813, 321525348, 565766102, 595591302, 749493120, 639138184, 11664739, 476562253, 331575081, 923894403, 558812038, 441132467, 775759616, 892642659, 508086398, 199975166, 230793759, 369239599, 702626960, 165558732, 724775449, 330350826, 83535302, 369778529, 990448844, 899451693, 190902910, 942413328, 895653515, 771970038, 269473747, 243384291, 278057968, 943244080, 655115227, 678815515, 279985845, 200854823, 131098517, 278824384, 722502102, 228111525, 848646346, 426605403, 768824612, 871903529, 62289564, 762165727, 914943309, 204088658, 55538664, 17137814, 206529388, 400316115, 279717402, 472431285, 785068846, 34192951, 444958501, 857850597, 721561631, 252769720, 443425570, 492224218, 223622315, 754802576, 378568958, 368089325, 167076408, 351629824, 621777175, 442577910, 647069213, 390789550, 758414960, 774220609, 316490856, 432231289, 799503263, 267859903, 480444384, 781057082, 747216944, 591502486, 132577290, 413868689, 892825, 806235223, 816656782, 736134566, 264360889, 988196198, 845324867, 807169022, 597072731, 147282123, 50873762, 142250463, 651594901, 55306034, 837735497, 786898925, 759629479, 839256302, 738913485, 427251647, 899245725, 948199003, 437153371, 600057637, 772968913, 639612148, 192252241, 686559077, 588088531, 623137512, 70511678, 566364352, 697114348, 598937133, 36036611, 218683946, 786460920, 874022242, 951768559, 286997634, 971028620, 820082680, 203231489, 24895502, 150649958, 104124154, 55424217, 229783831, 296953426, 170878075, 883232831, 133758452, 89496051, 541830193, 331681803, 452363629, 99951716, 107625570, 311840278, 607482118, 628327761, 300475412, 887292082, 489117914, 229147886, 664465544, 422671938, 112521216, 376459612, 775437349, 680149068, 224437018, 527050981, 201640537, 717140281, 365758622, 332757509, 642983451, 252120726, 918856571, 41286249, 196667815, 280456568, 937730772, 881542078, 159552582, 642123071, 354158213, 120986022, 76971174, 636882909, 999631101, 690532393, 243053167, 597107706, 951257025, 442075807, 758045533, 918359136, 384823599, 495355987, 577009002, 401754048, 275345603, 649387936, 461784419, 392802505, 934401895, 559292081, 492494275, 595537030, 360926844, 673476995, 599680584, 94136601, 647504921, 807956795, 700261049, 657274109, 190689489, 4430251, 913643621, 781061071, 802062567, 179324641, 725041470, 598708835, 191941292, 202167403, 201414904, 184154198, 732947936, 762666947, 972211519, 575951977, 23304892, 360281246, 94615153, 853463643, 98107762, 81717576, 382791510, 361814798, 110285133, 557162100, 14749739, 492641163, 776717776, 256670865, 808699105, 748229919, 527264049, 939760139, 729647240, 317013599, 215986763, 830435634, 223396573, 224456587, 615938345, 98749033, 872869819, 115833446, 834225202, 949145316, 415342997, 676226134, 368768832, 522189885, 353415922, 293060840, 950809283, 61214491, 176196585, 831509771, 110295024, 89590617, 305700450, 331456615, 172341970, 118461593, 391749209, 558077568, 245928712, 229181064, 943022351, 450881486, 964130062, 967233849, 489251308, 572648405, 555197975, 920178034, 930681838, 123107581, 268358889, 62357993, 75447502, 613452334, 7789527, 723059507, 534734586, 814281767, 792773748, 71626146, 224530020, 880562720, 155348470, 724599253, 916081055, 589871142, 699209021, 471772671, 460694535, 672606519, 361461720, 861128980, 361943098, 335380192, 436952781, 36317709, 876674894, 836666403, 449897794, 274131368, 996943147, 948307743, 611019285, 643421641, 61459214, 555669332, 521046596, 25746295, 615891371, 986577674, 613000189, 958892583, 892515569, 922753454, 224418864, 704309220, 680742773, 641952273, 285130009, 868319401, 137665786, 677845083, 8457024, 964583677, 762824532, 975203794, 184012831, 597636608, 85785384, 735505376, 233190880, 5839378, 838129429, 477950590, 381473948, 559033, 234593520, 576034390, 46149290, 272211202, 791370544, 659260984, 825167986, 784122326, 648187855, 566106007, 142674188, 796455567, 249533639, 241937152, 388521562, 558346660, 519039044, 777947231, 362103064, 920574858, 606241004, 983886973, 210813154, 815800294, 205931407, 658378073, 389413778, 705658278, 205430669, 191372789, 487705491, 628651080, 108385659, 412820498, 639887624, 449038274, 675641871, 417282152, 577840478, 585356406, 164346803, 922519294, 352977060, 18638223, 982143718, 118794971, 484134079, 91583371, 623002840, 3482795, 108296032, 742779108, 481868576, 890045314, 191743983, 338004860, 533765826, 731031342, 355158930, 793733032, 615312530, 650185556, 191799837, 335715973, 351713738, 594500849, 45665036, 415765318, 149824770, 534583453, 748141168, 796906552, 753986443, 931681697, 739640217, 680219355, 146051506, 344490110, 286006037, 383990478, 824028601, 399677204, 648616159, 732967544, 812591622, 644484933, 488725186, 303921016, 61467287, 839403249, 77609203, 972484059, 339162784, 145771993, 534801331, 232453905, 668072420, 883295932, 196978970, 653862720, 294135999, 130380761, 997089842, 181396474, 798468076, 518868995, 780540021, 698170649, 151122454, 6148023, 706122356, 496409015, 978334527, 89504916, 746376942, 328379185, 93355177, 773331262, 173340783, 83657411, 952083087, 508187551, 795365719, 378135472, 814868331, 505122960, 834807888, 5514779, 988593237, 115605187, 129842970, 84694543, 350754223, 575930176, 989360718, 529162374, 861434560, 433325270, 202216636, 186918105, 990255228, 517761992, 712355253, 280518323, 838569445, 375041019, 145405007, 412779355, 564473441, 301691736, 188855329, 764295204, 997608028, 710990607, 896381506, 337415560, 39389566, 775505121, 563398041, 110573861, 442500765, 346268439, 295699419, 31161493, 319500813, 795460676, 453875988, 472168713, 825604145, 37325283, 207664123, 128660004, 313637812, 153808311, 905643187, 509201096, 13763280, 370215025, 929810242, 200055012, 12552184, 469125164, 187745450, 625734626, 769309744, 400763993, 559691882, 999520308, 681231718, 477022107, 319537286, 186696036, 212526663, 194722464, 889036273, 316186754, 746473341, 89666255, 83625947, 450799743, 998614173, 928841454, 382622439, 105936957, 573754394, 82035961, 489508911, 637706327, 999048954, 723782302, 470706133, 496873089, 820381362, 970412034, 668612285, 16185802, 151234114, 835195935, 178728400, 74249244, 392520891, 423539561, 812049603, 52120288, 798299114, 198439319, 697731870, 303884532, 862454817, 294640557, 205823861, 538843041, 249584219, 774568170, 609028547, 536697086, 767484913, 542952649, 623085413, 15635083, 819766320, 245935055, 217900054, 238081397, 501559110, 513524036, 643473124, 53403342, 148819648, 494354815, 414378059, 225789288, 375978562, 140898040, 415793802, 37925706, 163630651, 222625161, 695546847, 634799769, 528911903, 592744056, 83218037, 586436071, 451816073, 38812950, 370712532, 729530476, 56304673, 592936222, 661762572, 596515772, 115445391, 50741909, 735459524, 100166590, 906738944, 523613294, 38725665, 819565617, 466272334, 275259664, 11096482, 668787258, 664830170, 845414052, 335620688, 66327113, 837100856, 575305977, 181424456, 380286353, 139850227, 460053099, 334938246, 935616735, 971894923, 101082057, 864983858, 193605650, 202623772, 14956299, 376531601, 391139379, 444393177, 928028288, 654734125, 575637450, 596750500, 690714746, 60425109, 943704518, 404344363, 932659456, 854176794, 89155746, 737064964, 366181962, 64228448, 860980768, 542576385, 294716010, 558288896, 853114799, 529598433, 567383338, 83239015, 655948406, 535316183, 161487742, 153497186, 323244584, 514361636, 628159467, 619950453, 558021164, 111810359, 489435787, 429256450, 712946159, 884551010, 37976262, 373088190, 937430487, 406104709, 978144201, 723554541, 731706461, 780546643, 32920059, 764351648, 424463937, 733785681, 487958675, 51134750, 788050196, 702778177, 192779459, 803748488, 1056430, 684693820, 559492709, 405914836, 670943254, 21963251, 790408255, 8786968, 11410130, 510557604, 630538636, 595649089, 144629295, 104477209, 365272957, 455619206, 69823439, 945984094, 656901235, 951624891, 233891381, 832655357, 407623379, 511260369, 723680466, 804453701, 13749542, 96560727, 966865233, 480815193, 244386940, 711072523, 895637688, 919497194, 886960640, 902375339, 802478016, 89598090, 833098079, 649746581, 646147824, 793283967, 170145349, 119156652, 616345393, 276521738, 649859201, 48806606, 710592867, 868263554, 567829659, 53833455, 689152966, 478257680, 131761791, 761551146, 753871157, 37249661, 49155309, 459721283, 409682165, 571479808, 635275691, 4566365, 747645171, 935936442, 5925126, 824199412, 675673575, 192482814, 706808556, 988646688, 26235811, 386344774, 326750773, 550846551, 10434489, 926489944, 9442567, 421809841, 358724860, 158389061, 401985449, 157037423, 671765013, 257437521, 563183630, 736687214, 365249928, 297588430, 337818898, 799349091, 203577773, 112999587, 866047954, 35766882, 606890796, 245827155, 111947665, 967329037, 393348033, 665352456, 27352556, 177118471, 947062603, 152223734, 800066116, 882163945, 69477330, 909331543, 344192536, 257178663, 583712104, 89711003, 913476651, 787325325, 401801379, 943437258, 518862744, 779141450, 697930608, 435426073, 427576633, 994252376, 450848753, 424294580, 994273603, 853156253, 684057277, 67937717, 202784923, 193687484, 395938712, 749803810, 596293420, 692658711, 972572514, 55974944, 711359306, 707589263, 404011632, 424817673, 549587856, 624690110, 61942297, 703143845, 329769830, 609630872, 500748336, 128307321, 925703276, 28793889, 284348235, 644810652, 760497840, 316153199, 319356912, 317023094, 223341673, 221510489, 125466703, 155333264, 532686446, 369497692, 576438547, 584466240, 473388717, 824067208, 460492318, 243130662, 831343187, 86682420, 321886768, 897202145, 49796122, 86319448, 791018765, 171647183, 964787536, 899657946, 236784822, 473123125, 202488872, 225115927, 315813502, 919737681, 15688696, 549349353, 505386661, 892695260, 99236414, 171486479, 848165542, 392323177, 936843357, 250875890, 446843587, 583589468, 709668506, 127754166, 982348359, 244111998, 404865348, 246164107, 27596021, 949061098, 402291281, 602948375, 203007667, 145488012, 527716424, 721073539, 6053013, 307956318, 475066026, 948586242, 90927781, 239763679, 58803153, 66699966, 264537658, 691347465, 904013857, 436890195, 146763609, 150461045, 362009859, 862839738, 711798940, 628507881, 313173132, 871296139, 171544327, 118493574, 257444841, 387412955, 356204849, 891596676, 885340244, 581046848, 741003963, 214775118, 230388119, 950760399, 365990119, 832286638, 498152820, 376570416, 930961372, 241471907, 458980162, 856728312, 607251679, 364682576, 170626831, 727780808, 112029603, 263547155, 445008214, 824395752, 511235454, 701019846, 74660227, 421225492, 923594823, 985777855, 54494130, 584046873, 624047846, 681756446, 193703606, 683237760, 614264382, 271415407, 455124786, 87862608, 139407128, 229305863, 978643237, 208767015, 939195356, 468440037, 206459383, 616829478, 721576467, 33333370, 321427416, 285231891, 40994820, 389541300, 95653657, 274966757, 751387007, 309196002, 176427434, 575905407, 673034691, 709747180, 804480148, 592222348, 137937099, 141658261, 78235141, 757045558, 374816735, 410073073, 755955005, 952113710, 547621883, 626731023, 690253930, 868752529, 701162060, 942595623, 214511170, 767371440, 827344355, 792940485, 381197024, 869603856, 885981035, 848805185, 565025276, 128253667, 405120971, 757217666, 92445735, 860167399, 794312423, 790201739, 587618132, 599971717, 962616788, 993768341, 258188961, 338227381, 884392328, 764708856, 50841270, 808315287, 42503360, 396301443, 499841907, 688907531, 951921332, 854910633, 707133451, 689380899, 770959720, 976646728, 806263311, 403512938, 278597154, 224704058, 441893014, 755357293, 366775262, 845005873, 622869129, 922937098, 737068890, 490200042, 316458440, 896355260, 25399364, 817727909, 366776876, 492538283, 124275331, 341540805, 601435614, 991898362, 861381184, 976066064, 686789830, 888755975, 636086261, 838149306, 403798534, 248022989, 616860961, 317491874, 303009954, 255418117, 728379121, 174602440, 682153139, 544077864, 792400905, 429151937, 9559327, 889898111, 134183845, 882179731, 676082208, 808983815, 964639270, 908382736, 221825815, 948780640, 941380776, 51756748, 435649327, 801722616, 848915505, 766752858, 792250102, 551732029, 286915993, 420835918, 55414752, 832156527, 66448055, 234065806, 615900565, 417944236, 560649120, 376085942, 737178151, 230353039, 883705100, 854938354, 459016101, 122364890, 778603173, 660866310, 167313542, 788524018, 30773400, 853196443, 799821777, 828791608, 98544368, 780080656, 185484851, 785102071, 791086800, 568933610, 855522219, 353912199, 891487113, 460368218, 204377445, 359806775, 737786461, 53651396, 641602731, 804692109, 203647032, 969548915, 194194323, 515186623, 500919740, 444357902, 630414082, 670213970, 15950731, 128877217, 496638017, 839506540, 420914059, 825031294, 547901953, 175439595, 35435121, 516962158, 750056847, 108393962, 902488984, 321394837, 754892154, 951698765, 806725271, 631159720, 261139450, 149501931, 24614401, 548282656, 120024540, 391652118, 82699131, 315561562, 131856090, 379368560, 935350, 978386352, 364037588, 800351117, 401548329, 828745004, 465255763, 164490792, 430603761, 792107189, 632803474, 317150751, 74394861, 160129167, 31114396, 627180503, 407601897, 362515730, 583477969, 734868755, 954569646, 26423502, 884943379, 524489780, 728810012, 12751735, 110362774, 50851537, 835589295, 843218025, 60052536, 22532462, 200951670, 933302265, 182294533, 519974426, 800210538, 849659551, 739894512, 999360036, 623575645, 240940902, 136009573, 871459910, 387266827, 427792462, 861862734, 495689024, 874310955, 325836993, 201133935, 859334430, 689148346, 95022384, 278769422, 468203449, 909417663, 873269778, 972193159, 232861713, 423185514, 690154161, 58710631, 227660419, 501551519, 545407000, 493990315, 595701606, 285529618, 490056138, 830530895, 81345283, 204314238, 572151079, 509434433, 599397054, 715269061, 971728569, 507279500, 311502653, 304808149, 130278074, 138490184, 54522305, 687922683, 284249396, 213761938, 437295313, 592839815, 343330950, 962773618, 593897662, 183980314, 783159684, 997604994, 908982760, 936857843, 283689478, 956527480, 831736278, 3975774, 505784111, 640737276, 454572914, 274101666, 406443695, 866063595, 593304362, 951844861, 689040047, 213417061, 345884754, 460694710, 773351475, 129341447, 374195130, 742502881, 554501810, 420838668, 367882762, 744524326, 519298981, 764198027, 437744865, 187232628, 767596965, 422367411, 169794052, 997713825, 152070130, 444217900, 136334467, 828856363, 258374898, 204241548, 516538332, 487801609, 807907762, 415298661, 469915030, 133307238, 46299087, 348871454, 463385395, 787713577, 700241272, 342726954, 18802002, 614761786, 959343860, 310101176, 658343864, 396725914, 623687633, 192284770, 918990858, 731820804, 568503703, 457227958, 141672886, 797546948, 785676282, 868450226, 692469464, 364289308, 763115048, 27047461, 986086255, 814916089, 247404034, 309199771, 472635788, 850127870, 735232283, 543154030, 832190660, 653766530, 982364780, 111701192, 637574509, 912369879, 262426461, 146766977, 69314286, 653523377, 901871167, 638695547, 359007738, 660813993, 391271132, 21676697, 87669486, 842840493, 635500321, 336744904, 273523470, 751828381, 988170507, 287300093, 847788859, 802182748, 515229832, 215703057, 954251113, 607667942, 915398223, 969253435, 550407383, 182810374, 452128605, 519693521, 861246668, 215864718, 166976288, 665979948, 129902100, 877347734, 596596015, 1020870, 494089763, 8778567, 489068177, 928588369, 710566649, 383019948, 862530958, 377186966, 433148478, 190375156, 408700934, 215442599, 861897811, 325508539, 100931688, 548879316, 207344246, 468978601, 460083014, 564405246, 317620801, 694457396, 932605259, 495845660, 905441809, 293402728, 667387758, 646026442, 15067393, 950999672, 725649955, 540067176, 740949069, 830265228, 804781000, 843764826, 676179535, 645121477, 333053691, 848745200, 177325116, 189005151, 943916087, 273667375, 909768476, 104655848, 606294632, 429918008, 665164447, 721720683, 309860692, 898514351, 874546785, 732741586, 442736886, 747485219, 321650587, 985723648, 229383327, 805257810, 934530073, 847497721, 178799401, 959454270, 899287643, 725248941, 595008482, 914498518, 91044506, 869129293, 120581184, 838542598, 25612977, 871131109, 589967216, 378566752, 931720650, 794046274, 235279279, 651131407, 958607680, 862078049, 643547469, 670398406, 116688285, 265726446, 547447226, 270354930, 548902707, 45805120, 361828369, 927724476, 269141291, 885856420, 712140164, 271191049, 328998194, 658937822, 602563522, 384991863, 850107725, 910259810, 538669556, 284519952, 937632951, 421642576, 528875493, 940815553, 5303440, 469243430, 671100709, 138660835, 318732140, 837857760, 982841626, 964303293, 424533757, 96488749, 515033208, 346486876, 241264320, 515013425, 165935773, 259534973, 711585959, 170405135, 583401306, 324452137, 246013349, 829214250, 78057933, 10973390, 335530903, 766166152, 676422462, 909652990, 62043054, 284714244, 772098704, 900050595, 338081174, 330044988, 450154005, 830008262, 691171247, 881984196, 750627451, 797335993, 731839233, 525229811, 461813564, 143411210, 366780810, 154644, 137291893, 801337233, 531332269, 161465356, 960998395, 131068443, 421110178, 379945830, 169204066, 154493430, 424437052, 146923156, 763618940, 257431939, 919381715, 222900362, 857958444, 409668835, 991938650, 654204512, 308473143, 207028569, 343424777, 136128946, 213705119, 73224039, 997584129, 384000298, 73473850, 467665761, 181725743, 74903678, 4368287, 341429149, 776640373, 767836337, 28766763, 64025693, 809034838, 839353531, 451091511, 469276172, 930028185, 322164704, 924930020, 632953915, 425240328, 351107261, 975697411, 322136655, 363429134, 220439150, 243289451, 937986111, 726692582, 375621949, 500916136, 182544, 7458363, 670526023, 472551501, 391241422, 51532131, 430483387, 124205288, 41237718, 576177491, 459396406, 239701773, 216307662, 50930252, 73403103, 302614988, 302811921, 48978594, 786678891, 718211587, 748586289, 894920992, 170374244, 449491003, 275007745, 950314122, 459220187, 680621344, 741449756, 250408513, 370375855, 519809765, 666588947, 750294463, 524471161, 938977824, 860595088, 192659736, 450209503, 590589110, 100792236, 567005204, 235088011, 815499923, 169810656, 358463180, 966296640, 652812913, 920358086, 491341436, 365807187, 728396835, 120233355, 352244494, 242634256, 191764795, 893123186, 496582447, 168996828, 604041007, 872018375, 220318585, 630578354, 576976196, 142028431, 452723098, 463382074, 264111718, 735836935, 751529277, 821784708, 48926059, 878924423, 98332396, 390471958, 619849302, 353528974, 326841877, 984393319, 709628897, 695894172, 620046530, 326698509, 254886795, 258233328, 908288736, 560128657, 868674601, 477516089, 339247235, 887504824, 756470497, 241660839, 238481445, 495062985, 346327421, 474553634, 634005509, 758591366, 639812987, 641509333, 963356644, 581915422, 291511697, 146417392, 107644590, 164024983, 113935874, 70277103, 276499010, 704147142, 290811389, 687370468, 327993392, 965649515, 291073645, 14354010, 491973935, 360009466, 828878475, 787912674, 809666438, 542353117, 716139461, 95658771, 288538349, 225707327, 667446279, 461554152, 173820694, 519002555, 572733046, 217385159, 524717282, 149290079, 46268110, 474792266, 285847827, 177065120, 795940597, 219888685, 68691464, 826806080, 660582501, 243785806, 676265103, 353634280, 686777668, 877689344, 146406, 525909470, 446635861, 553838026, 645170666, 265462693, 184941251, 492412364, 726302610, 671216395, 962286290, 49071180, 697555623, 556431209, 65057183, 826246296, 175892515, 996807064, 497394809, 18250212, 16064546, 514847961, 941906627, 545833422, 484063826, 705236563, 399363201, 753670834, 12420303, 715184689, 492931907, 669378467, 302560911, 15566484, 923400098, 84124942, 709460988, 751517942, 759120289, 574267846, 395827573, 82244812, 93928397, 85801020, 361395474, 491415086, 659493331, 33915316, 678096934, 461421017, 280891355, 667487746, 670548379, 338383235, 454761420, 494544079, 77013077, 529891743, 59873685, 501809116, 323518874, 422865923, 223917189, 650421614, 244055384, 946045179, 693624542, 509264752, 405224329, 115986947, 517690526, 976839968, 202849498, 218278597, 527519520, 612062159, 647326851, 704874329, 78992284, 224490505, 208092506, 195580044, 340328249, 991919764, 736067748, 443912321, 382550801, 311519741, 972487889, 327248674, 655142861, 577152448, 59997163, 727922212, 853651524, 575376677, 864002884, 335735938, 379578541, 363037512, 556739349, 621314048, 681017905, 914789426, 771568299, 960138836, 447869350, 236850791, 975086234, 404388591, 971964166, 971035965, 587045399, 913332020, 955976759, 258478404, 186458349, 488735426, 25074223, 431183565, 802236962, 628825549, 98508965, 143636588, 132232978, 278528678, 378172373, 291136841, 641551370, 636243718, 399949395, 963192152, 358493821, 230843025, 272852980, 475925332, 987546666, 202974821, 552994274, 856462999, 480114431, 144074356, 334646934, 795749452, 13102793, 510068321, 81856937, 739383126, 488614364, 706949822, 558778159, 64592931, 435684031, 433423918, 375067103, 423686756, 755813394, 537816571, 944202586, 899323309, 411801663, 938907210, 282107857, 859377372, 528873409, 196097286, 715222093, 578778259, 322255723, 182808284, 14650055, 503418789, 885936883, 841151650, 272201445, 33150715, 377697459, 776853434, 500497827, 168603761, 817208035, 219448082, 383876378, 816024601, 781375682, 407947532, 709362081, 51017255, 750619175, 650860184, 182475658, 25155949, 411745539, 197704833, 494774857, 916067789, 498825180, 746454471, 160626879, 323687027, 368311575, 101001017, 754429117, 68496902, 597400254, 399664642, 856562678, 187035166, 885647743, 427791734, 127376289, 941213390, 717081487, 134663266, 855996703, 743806596, 215940541, 527616773, 381564014, 61564717, 443654749, 351002743, 233026530, 686092368, 443696771, 823751585, 260498037, 285543207, 47762170, 896332249, 542293479, 267146571, 280455549, 589415219, 885206047, 444711546, 404064545, 219437567, 407848364, 572953618, 967122173, 642521225, 901684407, 114826305, 680331487, 553702707, 184474388, 732810015, 339289465, 614671025, 377957024, 563232977, 55177382, 748212269, 389068865, 212182344, 997448126, 656256438, 284286277, 429762224, 283790151, 109116952, 231965258, 526485860, 838742654, 647611552, 267004277, 434562674, 374165526, 368807703, 944453773, 122274138, 983985383, 32251076, 90709030, 6178163, 958493993, 75441930, 179706305, 945694876, 331332899, 626509477, 161760448, 205067019, 651424422, 784711305, 677992709, 489865161, 870118782, 148009097, 977666062, 539762395, 616927903, 177280733, 745522698, 400781406, 783668149, 67335416, 656836024, 18810902, 399749288, 223386648, 53896346, 497905880, 766917739, 145373190, 213456471, 430689672, 372764602, 217989471, 318320050, 916170808, 657230869, 959893829, 768817743, 582928089, 562140594, 521875284, 160444861, 705365441, 124779785, 938499475, 465606215, 72564109, 698130843, 327263635, 522245158, 933147447, 801936003, 960931114, 433705298, 764935426, 205957858, 871981392, 846754730, 778835502, 547036456, 547517430, 54152475, 532186996, 227588653, 408883896, 319299298, 128293744, 213893976, 609889995, 799127372, 726698101, 357892563, 887069979, 322390736, 628669999, 448857441, 952191372, 203568950, 474592021, 532123855, 357505717, 86284799, 481774523, 613729477, 618149478, 627571567, 879481357, 818908420, 906286499, 60453434, 499206233, 142981579, 310963409, 698843724, 501870719, 761222212, 448494649, 267652977, 987617510, 949261219, 886749350, 205257178, 905975074, 140979188, 510024357, 892337698, 669116593, 407921105, 427914316, 605863520, 73739201, 614928951, 90883732, 846370333, 905712739, 832660718, 110279005, 31611181, 146533570, 666985809, 827729453, 491718029, 643907707, 66275463, 40245149, 947524249, 742212008, 585539281, 413017131, 126376842, 68298608, 302393430, 435165490, 26503293, 815130279, 675087932, 107881595, 840086088, 701234019, 536094191, 663501145, 628963517, 674939349, 490033401, 480056560, 357135496, 534761106, 343551173, 126017165, 181289491, 436525873, 987046783, 842060927, 772013738, 489829483, 94951556, 924378715, 328252560, 57945729, 707601773, 688590445, 38068465, 964651183, 689954423, 312671805, 570087222, 4196461, 783708100, 577469181, 547380694, 377396979, 976275546, 50225063, 231305932, 703428506, 491037325, 757920136, 176553368, 213119299, 654831186, 861242704, 511429760, 580217063, 549329141, 923004767, 662464674, 106632071, 815057066, 532364958, 811617179, 11415899, 924602251, 673184293, 580930053, 469075104, 744826072, 991461777, 165783116, 660852531, 222398158, 681091170, 580310921, 897468129, 573196333, 377011076, 866933702, 94957456, 654443792, 516010221, 436067520, 462676445, 271067994, 622348445, 929746934, 82795144, 186849365, 636331910, 810786423, 891215067, 235074652, 818281839, 600809112, 494809589, 312679942, 495111688, 457232182, 100237761, 980059424, 101457023, 25434915, 918915723, 466475446, 851747177, 850186393, 406409027, 604995180, 423222026, 644984426, 13344909, 594926983, 281135623, 575613213, 143434178, 570874040, 844693516, 304963158, 71384940, 777924505, 553768787, 555998765, 810429914, 740219772, 358643796, 937987367, 238534992, 450672347, 231136336, 567142847, 924525168, 203363500, 368753888, 688525299, 728077826, 472448062, 819092077, 669581611, 275204072, 237889087, 230810420, 431084982, 370064776, 373005663, 347771227, 234327802, 332983457, 652105844, 360514010, 556542337, 10147344, 300854960, 579673019, 967773822, 5061648, 640950783, 160225112, 981163323, 440299434, 198895116, 962695923, 887167356, 401125764, 913222003, 722829407, 443017177, 904678506, 484697212, 824306126, 768316575, 557596878, 847460751, 902474580, 984162744, 744786179, 530084082, 650226794, 207719868, 425547564, 661845087, 4202024, 998474523, 700223810, 677454576, 688623029, 973524347, 273813171, 77049366, 386674742, 321718848, 73126696, 159045761, 975041048, 287943488, 331863, 564894412, 462465371, 86757553, 886476080, 733549533, 150858886, 151253206, 985998664, 779129542, 858114908, 464304222, 689722461, 236188111, 381126197, 213900298, 773876363, 682288412, 47755546, 424620579, 376237295, 117447917, 471973733, 775410769, 91189318, 908560458, 927041561, 689920918, 178431799, 735294980, 343870465, 50622121, 994204988, 656578217, 384720935, 353373236, 290282050, 883463752, 691866859, 781417317, 103461182, 790352454, 156774538, 891412624, 782563109, 636679896, 657163827, 970509203, 355676476, 107867198, 181748163, 603035328, 387066665, 191913258, 337674059, 654576829, 659434937, 882076997, 172882733, 144058809, 432209540, 920321977, 880734291, 663049804, 280640122, 223307983, 477189228, 57743957, 184148008, 550592555, 655332321, 459514678, 447750874, 835825826, 195713025, 327924150, 806954875, 983552781, 955585627, 75462159, 291452025, 290376332, 137069054, 495191391, 292913784, 133618992, 673366011, 867897718, 14458914, 73544545, 174117416, 474654290, 822132777, 219237344, 56395630, 572974578, 871179828, 435778036, 833641906, 938768188, 408050350, 670048894, 190147219, 516573021, 75955534, 876212394, 451993310, 288853045, 971754122, 409299900, 316436432, 31281853, 80854520, 968680807, 391411434, 472437088, 320679758, 97711674, 907321343, 326732154, 981552670, 853563899, 85923257, 517251147, 123159103, 905735440, 197484120, 706303914, 831029485, 292621305, 930117004, 170322072, 1451031, 751647768, 827842293, 779303957, 883355738, 863950698, 270877430, 678004121, 568426440, 182022039, 66096857, 222584827, 910570598, 253920297, 592605502, 170920579, 45814838, 124226994, 140398329, 42882377, 256927901, 674316016, 719676070, 226549176, 11413944, 107540639, 290947814, 154681172, 423066585, 96694517, 475559748, 597858790, 39523571, 753315665, 432960009, 324412630, 39941460, 230910863, 625644984, 159514532, 711582166, 372861225, 243025423, 756247067, 947600046, 600495254, 510616868, 540605049, 586998267, 178145421, 556165169, 835514976, 357998798, 921659492, 595194740, 284526486, 498230054, 81887986, 734638769, 415490919, 370768014, 160930014, 551054869, 118738689, 977282961, 635958283, 139081463, 618968018, 178288673, 419344581, 175872018, 553313499, 673768710, 502102987, 743831052, 351425820, 721841848, 355656116, 877967229, 67586381, 872478608, 734120876, 213556123, 626422480, 806426276, 8533743, 65624911, 323007104, 295083069, 777262720, 561130735, 308571208, 859555744, 580233179, 224206956, 935131746, 856462359, 324836846, 489028860, 563133917, 690292593, 805508480, 48644829, 154553615, 638010934, 334023946, 310775952, 643884000, 903596127, 276398816, 415785319, 772946477, 889207549, 847574860, 912821164, 687214721, 892911747, 971530236, 458006319, 999285012, 734345478, 966931708, 32196913, 924093083, 40032900, 584028513, 512259044, 269882359, 852076481, 44159930, 241493807, 53534923, 900197608, 116736536, 229730240, 355010463, 153302907, 828080925, 344681876, 973570927, 135014198, 450232366, 994370714, 830517604, 730779447, 72758679, 977686320, 755868190, 400719737, 531829834, 835231642, 914306996, 364252675, 650669536, 226398179, 193801001, 594746679, 659612404, 78599344, 601840387, 959042846, 3593329, 164763455, 465652679, 586344829, 327547980, 168033214, 683695410, 644717243, 460290537, 412174056, 776394047, 676593592, 721088692, 352088361, 277176946, 59035524, 647973077, 127043513, 748166083, 829104130, 124556120, 117487496, 898184159, 162733398, 670755398, 952928597, 992506320, 185933914, 622468397, 726768975, 792923651, 407354109, 748366826, 800644806, 13259317, 832988454, 332683215, 67486443, 611890433, 895992806, 42756341, 287398524, 812907700, 783511747, 976194021, 270490897, 448563858, 16384316, 150083744, 88229732, 331283155, 58272910, 395169049, 661168113, 427455244, 443870314, 145795886, 241637839, 915088316, 778888339, 381375911, 821276925, 889107782, 69429915, 921664259, 21584389, 233733788, 704612078, 672369191, 302167687, 903548069, 241680092, 732217842, 847501183, 175800560, 405097782, 473402447, 268748298, 947225478, 11485582, 407885025, 155378487, 490478649, 484480737, 423734127, 645177310, 5614874, 59463219, 271107793, 437826279, 758097756, 746215433, 25182883, 679955516, 726533363, 418057249, 947260191, 936827032, 104643285, 564947833, 944820637, 673026729, 219734433, 603601681, 77859228, 694549492, 644984885, 288437332, 2630825, 161857492, 280522076, 962397920, 282710295, 810616234, 238022161, 311801009, 839549629, 916465202, 935837143, 491427845, 721997496, 114910220, 227044834, 905026533, 856223337, 662998693, 239338832, 376604275, 48928132, 409999942, 79037396, 648270923, 740942328, 197757434, 517099279, 66937382, 165722643, 340981600, 644988498, 757964940, 31182121, 166160746, 318413933, 126790419, 73517148, 947675065, 330392616, 486677776, 552707738, 369178353, 325559411, 227255557, 426598780, 79598008, 658421447, 719989849, 832898372, 991998232, 228697576, 320091020, 298070722, 309736670, 982674958, 643747743, 199700721, 426028930, 873823380, 616841419, 839525840, 252240671, 239218570, 612967749, 33086165, 186633748, 792935216, 114191137, 855715709, 54073383, 479010860, 847887282, 167394413, 760566387, 659029831, 678836208, 522807816, 413653999, 846515069, 20731046, 744854876, 887079695, 669920084, 541162093, 729661147, 543987797, 707093381, 562515484, 530241580, 940280173, 924398603, 592178729, 498747025, 77434759, 247287280, 407225108, 125977137, 226375793, 375692428, 355238728, 116875334, 138125031, 770337811, 592872960, 229668288, 207143249, 328067047, 93483923, 145703746, 194892898, 770042758, 589633516, 344032296, 651916448, 520051419, 643368480, 162620108, 229220017, 725622271, 423294919, 607072860, 389973348, 624765890, 287219607, 968113313, 275549649, 638752601, 83833629, 498945677, 929150992, 88918062, 796274246, 637146520, 656363185, 62002492, 409769165, 789503215, 610269558, 373023663, 171912114, 295789406, 585720101, 188608993, 743722589, 349157368, 251608950, 110503759, 566395441, 749243458, 24468040, 796337956, 424551392, 819773960, 51906614, 794992948, 693737022, 430599374, 960947138, 958160333, 195284029, 592252826, 404025209, 28978628, 532353705, 92051673, 17589498, 406022430, 295331916, 101545855, 746627514, 483860413, 696192671, 892677910, 644971288, 943348529, 268030503, 215791961, 702664315, 696329767, 636442178, 693780603, 811358108, 145702639, 628804316, 887904474, 28018554, 474064015, 469423011, 495654095, 595102715, 337689682, 885999955, 324912193, 490848807, 338402429, 612603894, 295959891, 321629190, 414224610, 484124926, 122026768, 470011174, 643504441, 571739250, 638083871, 93385071, 74363955, 839211711, 349201206, 324891197, 473950778, 672197561, 869943020, 165209594, 944135966, 894506104, 577748886, 962629671, 469724352, 532721182, 525334372, 639015202, 310740986, 756080540, 703390087, 205255663, 229079749, 104470601, 547485253, 47092430, 210297865, 810317993, 851470973, 281052350, 51790877, 57288198, 542258594, 145007480, 412635563, 739348492, 480984922, 24993312, 352368606, 207272281, 265226849, 349885097, 916680719, 346433846, 271365567, 627740781, 480155433, 200892994, 555121210, 379628605, 500308860, 459101155, 801364750, 806817172, 928046396, 963668979, 837469462, 171580551, 359178515, 841493430, 174146620, 307255480, 696000907, 933890120, 353864035, 554375827, 336576450, 992055115, 557539596, 596911209, 750241259, 877071220, 108272835, 615695197, 761056628, 778622376, 395949167, 864082239, 313657380, 953595264, 505846582, 13432831, 379843509, 113183095, 26274154, 90056193, 885490865, 816094269, 649225544, 621445084, 129340007, 513264101, 26060418, 448153470, 436790701, 791402053, 436831108, 638304686, 360063654, 293130869, 626846666, 809271853, 177242942, 589169206, 57802368, 770326836, 232324722, 78006417, 546066793, 538656419, 179156844, 725003957, 210716559, 707489757, 550685148, 625065163, 798789356, 808385706, 784756305, 188565571, 892042656, 565092306, 53136525, 881686314, 30427062, 811735117, 108738575, 188278110, 738501707, 463946400, 850822605, 423195889, 261744295, 86729515, 251776316, 1476700, 57593647, 636696605, 546524875, 27047499, 720356409, 212087146, 923676985, 835518567, 446592452, 287885011, 847428139, 545974766, 342262176, 557119689, 720604557, 359559450, 491212785, 181925919, 431545865, 217250169, 227058321, 107582155, 292975769, 115081730, 675266800, 771992595, 340695168, 4571430, 628150709, 358317095, 829515425, 170052032, 939727438, 722403037, 769623847, 204464121, 544555392, 669854412, 994835790, 434218090, 810848954, 847343525, 994345975, 627718764, 976263102, 665542642, 882363533, 257631331, 83810873, 952009911, 264682472, 346300476, 239173095, 655900044, 95025082, 489721917, 327987912, 272752433, 969336669, 198814581, 280957965, 612010436, 382696924, 612953474, 55769811, 489587760, 49890806, 63175779, 497051549, 362479590, 49500275, 639783825, 322234134, 964491970, 838981261, 335918080, 3049553, 90439112, 369800296, 350540106, 53042905, 252465284, 215550432, 410267679, 26804611, 304243864, 212804762, 31491545, 884518773, 206424418, 116351655, 414447643, 26784291, 779267608, 546929528, 890717919, 949590142, 601585143, 335157813, 572328552, 710654198, 783192292, 677879400, 181293267, 408197390, 214268964, 915120990, 24437114, 994148373, 648423533, 651088501, 200851469, 246332794, 688318717, 732592513, 347025967, 795603875, 396831528, 413514542, 789562055, 367867572, 764231259, 843564887, 149314158, 424723477, 103946826, 609697033, 970277978, 651523993, 584122484, 746759651, 140585654, 610389669, 385761215, 6816276, 990874898, 317968933, 4300163, 993660975, 420220970, 339996748, 680936970, 976462920, 318245685, 863611434, 346394132, 868325616, 876951122, 700509864, 729802347, 256442269, 445867223, 330909457, 774495126, 809545999, 196739552, 58636696, 347831760, 449609426, 642752726, 182870380, 503196977, 366086209, 612263548, 636585107, 104478681, 406703421, 265892892, 545955391, 773405840, 344114510, 249223533, 652869507, 714568227, 29548069, 374599324, 907401917, 872390550, 636035012, 639521042, 309292200, 965735296, 297648331, 935902293, 812860617, 400828478, 857969447, 200187156, 362818649, 804370575, 379686695, 24325680, 422843978, 106230185, 702456353, 786507593, 127375121, 786796965, 582864695, 414896579, 387085119, 212789607, 985957380, 21811430, 536685967, 186326108, 87599311, 744919198, 664327528, 364516699, 947549106, 725874350, 340543415, 310038303, 350268706, 647328031, 590026275, 734978871, 616625415, 282451690, 87242078, 820695614, 66249954, 251188338, 899511248, 439506457, 809002333, 675676403, 98773780, 221955881, 821644928, 869704863, 199764320, 59090726, 354073375, 251073441, 324727590, 747798506, 446019795, 96366819, 580892467, 72283387, 809536546, 142792452, 23063445, 205308577, 361745710, 124583837, 838826915, 373965923, 833283341, 103174692, 685341827, 643235569, 183934113, 858340764, 263006362, 690667906, 93318394, 504727090, 479247616, 745960932, 322066757, 201900100, 656211252, 618132798, 26984289, 101130706, 845257592, 817423157, 22642397, 233911651, 493337831, 514954956, 423176889, 234112003, 978597216, 648106405, 613894491, 213521853, 357625992, 213407606, 326015936, 578176873, 822360723, 29101865, 508238509, 199795038, 374071251, 104880182, 220221565, 645537045, 19338948, 654863953, 649055226, 859526981, 59752839, 944419755, 826540483, 859959596, 175067963, 555349538, 93397922, 365111928, 139138283, 221288289, 19509823, 591255377, 150285675, 459268987, 53618970, 189319722, 238074825, 401920241, 411059330, 248301442, 851720795, 605229376, 892624985, 320253725, 958272538, 108478551, 894424464, 938096034, 991799076, 284599132, 665386127, 552082748, 362600338, 976339152, 791297660, 725624404, 700087112, 603878181, 271581949, 512095655, 220470568, 253787676, 796269055, 755028543, 338140418, 747596480, 863880296, 943201355, 918061271, 79053128, 338881953, 9081365, 11288933, 213135352, 697147634, 134808322, 783965535, 359345895, 668077426, 803443816, 450340836, 161247429, 825742210, 506798694, 127936740, 365843319, 520758918, 111231319, 387271471, 523767808, 630935701, 584065657, 336774332, 711839397, 425899687, 465335455, 809618613, 856710290, 262620597, 107370020, 919899960, 451111013, 561001351, 32318571, 115846721, 636422643, 771585669, 91614779, 53189063, 990390442, 325352811, 472546845, 451670257, 239352956, 899108669, 299915465, 841165349, 250692287, 456668930, 612483531, 117447918, 355553164, 752999524, 246822276, 943353160, 47883680, 29550445, 761110392, 767017225, 914023061, 497307864, 631915439, 378182874, 989392710, 826951470, 302813039, 416635059, 486737377, 176462286, 775208669, 347224390, 885521652, 894369452, 826953821, 204829552, 414302159, 350741366, 318675315, 879093110, 329158064, 828839817, 825000262, 157648617, 731061109, 283159342, 74515075, 159201577, 399645390, 859472894, 362233241, 357255939, 208011746, 992326065, 389319851, 74455506, 143157336, 847866410, 464039829, 590305087, 769077384, 566004365, 197817404, 49667255, 363483343, 883090186, 836703876, 875644927, 788724457, 325214736, 594693127, 958596513, 195357870, 321453787, 730176888, 382555283, 506876378, 458945136, 526744585, 398311317, 441195891, 613804006, 419083439, 736327674, 658463933, 5633086, 97118524, 446769171, 445586549, 749607371, 46491280, 815018369, 602032616, 780432502, 889328059, 365181401, 333819662, 97887074, 588502803, 882799226, 994805247, 623139999, 18887330, 654823028, 265933125, 855193598, 15529935, 857278321, 890238930, 2211453, 627997816, 400293473, 568016872, 274704439, 68259449, 653209318, 426292959, 604046609, 541701664, 76649200, 122529380, 610818132, 576431272, 842052783, 210587903, 39615934, 195133333, 579085203, 113464331, 287995784, 865650145, 384464326, 613972442, 374532436, 272227285, 199013954, 344109365, 288150074, 492777376, 665766287, 312029956, 329880495, 402464948, 232834912, 488477323, 726379989, 424518919, 582775104, 689515607, 621387736, 546586505, 51449919, 487121293, 524931594, 116978778, 376668309, 86093936, 178621492, 100899089, 86888327, 382364018, 348792781, 202202168, 193059820, 330811292, 899214312, 187418097, 261142950, 933235950, 830926532, 526476853, 607071966, 834430659, 774096530, 833643020, 908847992, 506477803, 530479497, 551860801, 933646262, 919731471, 277726924, 423506136, 949354009, 302337558, 941144680, 526088782, 736571885, 163882493, 608456314, 623724135, 262489509, 46537034, 751123661, 714699609, 480313820, 480165022, 656834560, 972208853, 93977586, 140078264, 982184042, 136362190, 279210853, 66380676, 43599452, 906836065, 864645313, 561467839, 298228927, 451695698, 796878249, 533277586, 283679018, 198293550, 579937395, 832247153, 314436145, 745965929, 926979422, 828604683, 745110878, 595126806, 395345738, 760784274, 535752614, 227754074, 624854533, 998043424, 214348214, 575537348, 742409631, 929983220, 645594268, 168945797, 733310260, 999875050, 573879437, 524325796, 495049013, 389185392, 266943510, 531430334, 806159228, 270891412, 528881370, 252888708, 557167706, 854765721, 741916282, 853940592, 944229020, 655939417, 988348132, 516283167, 536476930, 398372919, 668683561, 453125958, 594047740, 340770898, 843865097, 865147722, 551607995, 119944440, 928420640, 876788069, 435683758, 576878743, 10462514, 783182946, 921927987, 257402070, 688573402, 300786675, 866764579, 990863808, 760873133, 476312504, 557423240, 437398113, 536064652, 631668914, 173998625, 169017583, 192582323, 701443609, 188417260, 472086368, 306801146, 186577692, 689787528, 773083813, 264427360, 598786886, 884536244, 288544343, 158744152, 145559446, 821120847, 340032588, 177474826, 896841866, 707478261, 956324675, 453953335, 860971386, 161150820, 22911003, 603431639, 840870628, 285462255, 695397145, 519356478, 745148402, 316374780, 34500997, 580164695, 792532503, 310838113, 254944989, 618074788, 570457721, 844704717, 759102768, 942142823, 562386241, 474830030, 960364846, 154692015, 569276462, 664103654, 443304004, 897685732, 682258696, 668387643, 713256899, 763204567, 71115229, 7213068, 654370875, 733166965, 347400182, 968136389, 566121767, 654016069, 663592356, 317119817, 197197978, 735392655, 890560168, 145524099, 931403758, 945848294, 356582002, 812911737, 242741590, 221002186, 406259175, 301572002, 109757381, 689807517, 255527424, 312912606, 281699109, 751182063, 377284844, 134515739, 18666806, 541261426, 945266428, 258816166, 270882952, 529638692, 462675800, 474557723, 692996398, 995542515, 388623380, 654047332, 201812463, 305225261, 517561675, 849260915, 376990725, 916939753, 942904646, 620807047, 502572473, 543738333, 600301356, 518610968, 677796078, 674994425, 709406320, 414878354, 242518799, 638214957, 629995597, 967806692, 751072064, 862141043, 62535368, 496802197, 654691817, 514360716, 987057274, 529733831, 857728253, 624501902, 512646422, 762655724, 126530142, 405594466, 24608412, 686532447, 999637558, 535136506, 993932355, 359863206, 401562335, 97354001, 70127689, 925344515, 375449756, 562958155, 809119620, 523652620, 10601431, 511037241, 98279126, 382927356, 455525071, 521840141, 129699738, 712794374, 324162837, 344209813, 18426786, 37272926, 466814875, 412962603, 62989020, 67339265, 153653277, 833448077, 599661078, 695243029, 399875064, 216277408, 469054495, 230969145, 721162904, 1632023, 302055744, 127735354, 830739298, 323052937, 767936878, 828396673, 606731519, 156032932, 76729851, 529794149, 775862821, 496585677, 108762847, 430433844, 928825752, 119897268, 196459274, 729353908, 948014486, 912632056, 891045239, 417340153, 375219130, 364654577, 834522376, 907579761, 842191780, 237192210, 769837047, 748044303, 766608343, 433715069, 996314049, 251544301, 988673609, 202076849, 837304172, 408329160, 224665171, 86370235, 687246211, 562362123, 284717347, 658176759, 435712690, 548271244, 723236726, 844916274, 397040420, 736281957, 882649858, 69838106, 257853912, 26449098, 875521300, 78911375, 212888899, 860058849, 684994309, 912519492, 698141324, 699511065, 663688739, 638699032, 644088894, 561144309, 538883126, 444637533, 573678613, 780745947, 561714860, 386280551, 654718379, 848767583, 658585617, 909966016, 570635179, 674765762, 922629753, 653746470, 768942574, 588097820, 620924827, 756988819, 316604572, 448318074, 329043964, 967887450, 901264944, 964092753, 478918993, 572251209, 841787440, 518649722, 466232644, 577900293, 53287648, 327789205, 712512244, 866694218, 34906200, 127173555, 650256332, 628850204, 711503396, 159349969, 211399306, 984577743, 960206552, 542659546, 714748279, 612596517, 810006895, 212746894, 259052267, 40123914, 242185201, 339001309, 222369090, 834656066, 583003782, 585006072, 136588829, 46750646, 127640092, 215998045, 154363517, 862652611, 717993634, 358042110, 658545108, 705763907, 96293871, 303464049, 74077771, 706438795, 842172990, 467188500, 255279388, 230027553, 166330715, 874737558, 934948426, 600382171, 329320114, 783823181, 809446958, 213856580, 46425793, 630285539, 979916109, 158248514, 977329075, 937703705, 695222667, 916842092, 278288211, 106921477, 337161531, 211114768, 690118794, 422319317, 481001106, 790498656, 116198171, 226095580, 718998131, 344260487, 505281505, 711404659, 192081921, 875992270, 163162754, 853402514, 895954564, 267026867, 680028050, 283566021, 862055172, 267708724, 944188127, 153847435, 428940182, 226849216, 164519634, 657038017, 295906429, 675006941, 797319203, 585728514, 249265901, 981698857, 682959936, 157553022, 33448524, 233862289, 555417076, 248255717, 409689794, 640730346, 563725998, 509490886, 634342765, 715622188, 295793632, 507569267, 878718442, 915106893, 777646124, 259927599, 214175861, 108409662, 534996264, 934230592, 321512747, 264541297, 143601708, 427620548, 849091917, 654014744, 883879304, 125879069, 531816815, 199888696, 621927786, 534419185, 769659899, 506219293, 681892880, 508429200, 444921379, 27655085, 355821095, 18443445, 664336474, 269653739, 998576801, 706100131, 317406953, 993081647, 98186393, 301136272, 330229587, 690805002, 373484147, 709585198, 25071891, 611274099, 401039619, 731155963, 501833731, 881241491, 569113281, 644964605, 914500991, 660176555, 868513974, 533480233, 928178084, 469908490, 760695401, 996692376, 875316291, 137806082, 394487762, 238350401, 303875954, 392351625, 664332381, 223470415, 212683354, 94207701, 311732941, 898328600, 217607037, 275711302, 540430686, 541215032, 428258966, 931571524, 169143644, 260980594, 943158186, 36436097, 120522238, 576571200, 230244450, 977600690, 245945106, 408987293, 50849287, 628882463, 561710948, 128119738, 764016086, 295988697, 923683925, 723441488, 810206014, 243099984, 294925377, 260394529, 256007138, 429523957, 45164716, 831581603, 811116764, 767905686, 272842009, 583770718, 376688831, 176847554, 921567955, 992850863, 607157447, 301527057, 843740211, 459574927, 451719134, 477465206, 584258544, 223671821, 164569055, 394574241, 953715739, 40840227, 510136511, 351822209, 650709998, 567513660, 881630854, 66958846, 580568440, 351643460, 2099925, 648438021, 48322692, 788162427, 310043681, 334245154, 219534041, 734981263, 523700396, 76075684, 429370726, 404808006, 954816440, 15731953, 839329545, 941469543, 112732353, 960092836, 44191065, 489039790, 489986909, 673696658, 361112995, 83847255, 364733466, 894151709, 597770862, 222124532, 281981457, 802159731, 906958894, 433381510, 711308859, 845243298, 39953120, 763736837, 318989595, 676867411, 815311150, 716495258, 606506464, 950103600, 171050626, 145110590, 456709425, 441232135, 904219448, 68752491, 213781355, 471956578, 607797669, 776335771, 957152920, 590817187, 167986493, 513498403, 41728980, 213389439, 726850715, 410522034, 443920041, 920936789, 129744258, 948288781, 261396922, 635887681, 348907669, 336285731, 409907623, 345474550, 3328200, 647466856, 3405175, 774581220, 534281775, 228316053, 4277200, 548194845, 257996715, 633301746, 317558208, 937726815, 967125705, 371533327, 793322228, 660127797, 395676001, 115139502, 34121656, 125196206, 963593604, 899521848, 121349475, 627798519, 828233481, 922783698, 253614824, 1399298, 211589680, 672379005, 389427320, 546329663, 325368348, 71930994, 689837699, 78081434, 697573654, 98687642, 613299491, 80765, 898989444, 785096225, 481496534, 77023232, 732831625, 759755941, 477196835, 877380048, 635608718, 862857266, 941568303, 808149499, 647295484, 402059303, 812582093, 625739890, 188503984, 938150679, 872550892, 676283364, 759479791, 926559881, 339858017, 684651326, 159207433, 275938050, 480643844, 247774189, 668777575, 975223347, 635884255, 105273987, 835898508, 93187971, 655379640, 558513782, 886270197, 539758705, 852007039, 260911558, 230352600, 565961989, 446564535, 7084830, 654888808, 300162985, 690374724, 3280115, 572680241, 277300791, 573874920, 738328538, 602700555, 568152660, 316479593, 502250378, 192109818, 443693427, 350247134, 886552074, 376574603, 173126423, 394505777, 826584361, 153144424, 264776787, 621476235, 512454377, 3738976, 796436970, 118206086, 645377536, 999918455, 459693886, 528716796, 604645404, 203296476, 993094576, 133124985, 726783690, 415528556, 595507650, 966559974, 389304098, 819316573, 362451410, 818716739, 681326665, 462236656, 911893248, 160490517, 292987790, 623216348, 691524985, 21282196, 235700793, 728332948, 35574266, 618965399, 361770139, 232263810, 875044449, 37239105, 130338016, 742368068, 679587176, 930161847, 523959443, 768337693, 708865905, 249054073, 921472587, 272700100, 871895963, 762862963, 110941213, 298250714, 341775298, 651521343, 210532584, 588576505, 314370522, 970077230, 500793136, 792331347, 248382699, 550666258, 923304774, 716874477, 334882335, 505598672, 771838256, 76710630, 359140795, 238443165, 997277970, 495625016, 558969856, 780675354, 914326854, 837936789, 304522113, 459364168, 698059202, 379209966, 565189139, 125977475, 137881655, 252726569, 458614942, 378076602, 538776931, 735037545, 342830234, 123312590, 777895380, 118497027, 195743061, 831039823, 702993485, 455540683, 401151396, 313721505, 433112671, 304928121, 718632749, 848310209, 965677393, 900456869, 369774775, 60678706, 538326045, 271443035, 226437671, 795103013, 233632074, 972448850, 633088865, 889329193, 82316274, 445336957, 563612400, 6125396, 703265543, 281175531, 349980359, 189096690, 844968034, 856910016, 794241778, 29484886, 143158321, 501075354, 7593763, 637741162, 127639540, 33479831, 924942728, 575132802, 457321009, 997531224, 818682401, 364469911, 242777803, 529874430, 196858582, 510807603, 902833081, 952209372, 693003218, 675577097, 906770537, 287775036, 100080705, 409976650, 436012202, 262427339, 330448916, 908381761, 371841564, 2993233, 904530352, 631976794, 648679439, 113099499, 134989150, 499182890, 518418177, 617313033, 684211293, 243540669, 31061982, 453998280, 146309182, 335487050, 2435793, 74808891, 459797696, 575280952, 8431804, 238028934, 689970467, 332412037, 126413059, 246384521, 465021681, 238149443, 63334026, 412946045, 774184314, 706034535, 506044032, 71510490, 414319573, 57686554, 149576807, 985627493, 994231763, 246527305, 470812988, 421850623, 372112556, 196514504, 998276032, 689628312, 85107620, 959040471, 707317447, 36066606, 962470937, 96108377, 280797382, 989074134, 481814049, 38881716, 866572730, 246604663, 683112771, 94794718, 912630219, 622981719, 64030758, 755678918, 626759532, 984531147, 148484154, 607461880, 582093347, 915258144, 463617203, 620033451, 144763228, 517164274, 597997610, 286002728, 131194508, 806020914, 134977511, 331594722, 234530879, 685140102, 599581550, 13921044, 786099302, 939115889, 713845223, 615439314, 3056149, 524743327, 308006006, 79585517, 756251991, 488681577, 520432809, 742501695, 840603525, 607457126, 9032869, 736181676, 576372310, 430834993, 511055207, 890082076, 538322835, 641968612, 157906813, 59785723, 618597577, 314499223, 276903565, 960190646, 187770211, 28830928, 296188716, 870328814, 699189064, 18529220, 77135781, 539387204, 293293081, 2875092, 776142305, 973250512, 404912103, 323232984, 912343031, 824860048, 898073763, 53422853, 162973704, 604976211, 98516591, 466546908, 279903736, 796349595, 21298746, 800488063, 667929277, 180840061, 64362928, 239592858, 805329116, 283860344, 261185299, 903495407, 992625764, 845922289, 277733255, 365162077, 493042932, 625476587, 401777150, 519159229, 951960319, 315089823, 781842776, 835292561, 159572455, 539149920, 639245933, 630777700, 463612003, 63938110, 878786456, 428806237, 86905547, 451933259, 429984010, 702450340, 206838074, 799273837, 866397174, 718791201, 4915113, 766460382, 909762215, 517302875, 330628979, 270416584, 478453085, 921684272, 818532182, 479583298, 549919042, 699672828, 232205802, 408378424, 67831850, 881224621, 777306304, 927162801, 149829690, 145503039, 407025343, 878488463, 855403693, 765747957, 46150642, 197488955, 288739236, 731409886, 692096972, 89204612, 769719261, 991719914, 25749662, 217857567, 416524186, 175795123, 242853201, 506897447, 600329853, 366103718, 17014783, 186816695, 472198647, 425157877, 519261838, 215527010, 764403876, 685628150, 338518515, 706276134, 735569729, 325749341, 623606790, 970033856, 382555381, 848831845, 184326136, 690021367, 885321738, 364886568, 284670940, 800698591, 640430016, 566938260, 764390867, 816248013, 40968170, 246072912, 619745477, 223854093, 290632013, 809211290, 411699931, 263295209, 488329079, 917850834, 485923725, 945872920, 591837066, 22547031, 691463762, 256441290, 44656969, 566962176, 337721091, 693439058, 588412704, 287860921, 776057357, 240827689, 685597643, 457719875, 476093981, 815397454, 295233221, 941408753, 240009493, 450604370, 796671468, 794808899, 158026604, 334191051, 513834291, 424271963, 146311528, 545741302, 579162521, 376536502, 585551551, 678935125, 490608095, 466077767, 927550697, 997431098, 615221715, 807344459, 58361137, 593373778, 154032980, 601241283, 120972216, 189661983, 63858069, 656570511, 917651634, 109291252, 543855481, 357884059, 536396091, 243687589, 747029967, 492063370, 280079132, 538429140, 365892863, 14403812, 226316938, 846408075, 487067058, 105598577, 543216064, 845163479, 514352744, 137448745, 560262548, 382979051, 645103558, 104245062, 525821603, 743374528, 792542945, 447852133, 966836286, 406391512, 882877381, 989219603, 299895144, 787063983, 850905583, 654137485, 760733999, 560554464, 615637094, 412491017, 179063782, 544590607, 915660732, 763524090, 999511179, 664697336, 477086527, 402446789, 177786045, 787940835, 389223953, 132206251, 871396326, 377037303, 618218881, 668234500, 439475724, 438332976, 415447526, 981069919, 24402087, 269909356, 215680609, 894901367, 633243881, 407204689, 364008807, 430491776, 346962438, 75124771, 811001002, 265377858, 20940786, 763066637, 423198392, 887426825, 211589123, 426048370, 979151899, 419113581, 69206632, 26173175, 745923897, 546978520, 427885185, 833800397, 332392546, 79881653, 963306976, 938370157, 899455254, 666681265, 315916808, 717239328, 795670567, 784581478, 251627912, 149485371, 31910059, 252154834, 61676837, 296634727, 511375217, 85558601, 335849395, 441885368, 453651735, 561888434, 625187030, 86168157, 843627210, 102541378, 740367093, 828862430, 932250448, 239495599, 278312818, 893435643, 362363171, 353308789, 465565002, 408404815, 508116653, 506344231, 284097463, 500777521, 523045343, 895428988, 216749801, 634097340, 728013421, 351822484, 375488245, 788791444, 94911838, 19902915, 242703957, 644819820, 566185958, 61047058, 822992889, 9136737, 534436174, 987325993, 988916051, 313549544, 830558297, 508304174, 868124120, 213487446, 222226422, 667952758, 95883881, 351753730, 94835942, 838458382, 659310101, 137219962, 955250478, 9576734, 299388096, 812943497, 692054546, 78165867, 626122957, 20688893, 537174623, 899935250, 349463895, 145504564, 395743026, 865947393, 709806632, 618940221, 819348618, 356330626, 122915690, 749159412, 320945124, 702387107, 762060274, 219797378, 407377716, 295281312, 984470369, 307238025, 277690646, 144224830, 186113345, 675771532, 835698419, 894508084, 789177391, 485280408, 752623614, 446750101, 42860691, 635911469, 115547760, 796986032, 516459729, 327599453, 641144935, 75492418, 273964807, 698339921, 733487540, 912635855, 727972703, 462358715, 161547640, 520896244, 8418238, 378686640, 356752525, 442147857, 968105711, 246264628, 212321836, 40891109, 403411945, 457884666, 592782564, 268199217, 861347332, 223498206, 284397032, 514685424, 246007011, 436464434, 972781063, 252140190, 425642602, 956583234, 376387467, 724827368, 865111695, 115384420, 167913621, 364600870, 346361317, 712931738, 216285265, 511613, 268553346, 964878058, 722478395, 120683360, 821399004, 244943549, 352161526, 766263121, 148169791, 773880182, 410956167, 773944690, 918279606, 963164468, 439351651, 684455348, 460140208, 582049229, 74760309, 852674465, 573105431, 245886563, 934524039, 613694327, 733890786, 36787384, 408613227, 408349855, 157011727, 58721458, 774747498, 751474232, 64646363, 634052576, 635686915, 36483430, 888049810, 157879795, 218327633, 658331081, 166632761, 716064956, 904434217, 621227225, 900974141, 367396236, 530553486, 447818712, 866808420, 166869100, 695022309, 512145020, 52352069, 581129903, 299432397, 65363292, 504599574, 331842634, 997387629, 420895985, 621333871, 661022172, 240947838, 583595693, 656842493, 672790934, 989893484, 832444634, 86038748, 412277577, 929755265, 330468340, 276765025, 835010400, 87334612, 225918093, 591371137, 941442634, 457386019, 413025727, 984554457, 480521965, 576126120, 863101757, 270117858, 293320930, 218204946, 319425860, 973113332, 930024697, 18565143, 468725365, 102742868, 236576857, 907911596, 923496842, 200724543, 18630475, 158751099, 436347374, 131375975, 665812896, 751540660, 452542433, 629511012, 899320906, 559986185, 930813292, 992182, 342758609, 952885314, 494407464, 434186396, 46859264, 399569829, 31319588, 970662516, 162038533, 566788228, 143956926, 686269392, 507526985, 649926691, 794230107, 905590608, 79314254, 478847844, 147374876, 594044089, 313420940, 490375907, 122625810, 687586557, 217483090, 191989653, 97872295, 993387293, 303538947, 497629708, 758366284, 246255223, 689114182, 808533983, 543798758, 533995896, 546496962, 804674711, 936742701, 319804962, 956743692, 708620183, 399561292, 390994660, 268280849, 614396211, 765387437, 410192669, 376602510, 100606307, 752372472, 619328085, 153601265, 417606157, 469480691, 530031075, 673636403, 998765304, 715189483, 519167963, 3959054, 241703719, 15289739, 827428805, 545530883, 586310643, 880883353, 917076185, 514729777, 271448640, 491875933, 907160251, 524230719, 24631461, 59744862, 927446042, 351475903, 57012369, 191962211, 630174134, 440514130, 10942444, 28573082, 974508531, 448555948, 781459024, 786850159, 974295193, 89281692, 804327188, 106169885, 2697786, 60489891, 476297934, 344960206, 783200836, 970093073, 347171713, 583800522, 369670550, 730792331, 35730712, 843893941, 363162406, 70036414, 413064180, 617484722, 689677497, 418542287, 324158230, 262750494, 203765504, 62407311, 285407525, 70653120, 153084069, 240920515, 305254279, 361516058, 308431672, 84960603, 503022600, 874828308, 686073915, 716067632, 103529715, 321966232, 203181187, 541851541, 38136604, 916292602, 996240183, 660950382, 851658258, 173059937, 453659384, 565339848, 502369250, 489999513, 125907048, 961823567, 741525394, 629442362, 545794190, 928158202, 332478674, 290595052, 135585210, 324432901, 418975250, 163834915, 604191012, 268515786, 120361356, 46361996, 382878605, 394530649, 286153823, 225686185, 6974515, 411631386, 710190757, 234634553, 3578674, 113568739, 328502827, 362688750, 900530138, 265503995, 947157843, 617491137, 411319299, 365158191, 720536020, 157328043, 762946233, 71168746, 251917234, 112753155, 885442518, 857209561, 159290153, 645987770, 119205545, 834746252, 454781612, 541976282, 45198622, 278640465, 532790019, 286536169, 715626008, 956160150, 133082629, 342350966, 328424009, 724660319, 540738107, 75511546, 426434919, 4616282, 726216691, 623508685, 284641868, 582866436, 104807735, 276026323, 307271523, 553573411, 916523250, 399400399, 523383765, 120920849, 204765808, 302865388, 412321297, 808022098, 69912337, 970179132, 368545782, 98298089, 417497207, 89943269, 460948487, 335980559, 395470028, 857443593, 829828413, 522656466, 768757787, 296678285, 228236779, 441407772, 840414215, 769788583, 85295889, 214091876, 806186517, 241792405, 666443908, 881804590, 558974847, 51576902, 486985445, 86815410, 244821965, 599593373, 896629548, 204175843, 684326175, 609269841, 547626372, 602328326, 298492867, 400308438, 968740924, 457264357, 597461301, 450217442, 494156373, 615903533, 860141396, 432952491, 823561012, 17599375, 529927993, 719407207, 157038180, 105510245, 596122492, 715828559, 7155489, 649290198, 659446127, 945905639, 59341927, 659441768, 990820565, 273214932, 893562181, 476361487, 432880931, 732201014, 828738194, 190046645, 941418874, 731374869, 730775339, 484332142, 832595926, 224570913, 34461462, 160579035, 165490529, 425419801, 614096317, 993943129, 960238103, 39180413, 293244647, 54701670, 565405201, 319081755, 614401163, 110777614, 904907761, 155926133, 317261056, 614553702, 905937360, 18066981, 129708316, 178817062, 442933505, 37702290, 178828850, 479718548, 978836256, 420690651, 286595784, 178239280, 493958858, 223246166, 956710315, 998725887, 760713897, 762106772, 638321828, 787899946, 715059928, 338102667, 885658541, 172186755, 88281667, 397900362, 785107603, 888656691, 178971269, 797647901, 598169661, 422353018, 892452616, 588650956, 489052678, 192819298, 128049616, 166079681, 648913553, 735067695, 590489744, 265229143, 120986062, 654753653, 267222090, 93893913, 118043496, 806898245, 138594108, 231705537, 147104406, 878613595, 279991448, 15979722, 951042955, 763587463, 223458716, 416861665, 385296255, 325966280, 501115401, 243663354, 571383941, 141333035, 517209393, 246902567, 272142243, 416737282, 677859396, 385276061, 502026414, 947230934, 330392617, 994440493, 657589375, 682039898, 777384549, 39762860, 569574787, 915354445, 976584116, 230537066, 739937349, 376880344, 21447352, 84474037, 244815420, 997087581, 24285447, 23972313, 192873259, 471689639, 400378974, 237825169, 422295993, 773075416, 868598673, 980497521, 83446735, 339446729, 629669427, 763795838, 95934695, 524236496, 459539461, 132701079, 617329596, 170203435, 16888373, 773868327, 534536971, 940603742, 566832679, 33608082, 191907427, 568665844, 824980160, 948317253, 805910654, 501043017, 246567532, 111799366, 38166064, 677260144, 124753040, 50769208, 80496696, 988688820, 453749408, 894205422, 911849078, 62631672, 30881226, 387707192, 865405843, 959003492, 172203112, 896554582, 434576101, 625391923, 999789625, 987312988, 487590823, 932994406, 90942628, 512781876, 161482764, 998729653, 112908747, 452596413, 75573698, 725728221, 721284511, 918884487, 656876982, 615991073, 517237676, 623149952, 516357984, 36272997, 735854847, 914746886, 830612906, 290453609, 447026937, 710790226, 508205804, 48219345, 416252909, 86392509, 716339862, 756795048, 505420821, 236642549, 995130094, 788372590, 848470982, 155348778, 173049609, 227723827, 369943676, 998327363, 335222965, 425469664, 24187927, 170760157, 237731854, 430619698, 411550512, 893537295, 910757465, 681811097, 470583597, 818796598, 476676857, 746650750, 127962665, 522733085, 918392927, 13223697, 758943091, 455007899, 894064171, 912629115, 890326090, 996444450, 898065198, 954452038, 552119164, 385538891, 848896559, 32204645, 890934203, 296621719, 62051334, 47849556, 13015273, 534085731, 205784668, 974425181, 555846393, 214321694, 542609013, 226020090, 846463591, 456964047, 142821187, 34046320, 299032502, 480915508, 319772286, 136017242, 599913936, 244246766, 218023623, 342554719, 619573177, 50629433, 159422855, 572606792, 834864001, 320282295, 330425044, 558271653, 143389245, 490790982, 657175307, 42340789, 595111260, 884326903, 431961111, 19759239, 865119527, 953111854, 281197412, 913505433, 613022313, 781473028, 194357795, 420554249, 965268528, 773229342, 875777265, 239362664, 647479736, 853245748, 483733026, 792139242, 478893574, 376956541, 897449982, 679457144, 391272527, 226697435, 376121763, 930214275, 649082365, 214172003, 467730412, 79398863, 419092837, 320159444, 754810913, 990581983, 223885586, 981201128, 785047301, 355565713, 224031241, 93532366, 326458394, 934506470, 780303719, 511083359, 149810365, 42393183, 876086208, 162417542, 540595415, 843269405, 915218166, 672115267, 160731759, 26967764, 386991125, 206582928, 619033238, 540316174, 16747135, 13623373, 217702516, 578956351, 756885180, 389131199, 989434552, 522600153, 355999307, 862294008, 153260306, 631497478, 742815811, 173541087, 964339680, 328517325, 853151521, 117215556, 885421427, 613077597, 861471447, 658422941, 952888205, 465017217, 13031238, 315831081, 478998302, 39591923, 447701607, 456992155, 978772828, 71245935, 950109473, 28351825, 414825364, 794172799, 942923654, 893858705, 544520126, 563836610, 207479418, 647470605, 583463263, 176252467, 829362319, 885646465, 813037643, 183652643, 486138089, 451921474, 697077284, 469176264, 818516753, 304406351, 853601723, 40334749, 664544155, 867547880, 534947431, 51740331, 558401418, 998681903, 596195423, 914418182, 181265358, 758250826, 830947286, 390870438, 814947039, 449572495, 699426888, 955648142, 125380365, 235355681, 330469903, 121480563, 614567717, 150373441, 305037767, 483915721, 851111036, 721810470, 84768170, 918229376, 477735260, 56193570, 444594157, 179198006, 220499731, 729670555, 446814377, 15496699, 160571597, 847091443, 621686844, 926166898, 636903850, 342341192, 869890839, 844722621, 372371039, 780779393, 323801186, 693675185, 790740153, 424742899, 667322117, 954324, 680136069, 851334410, 864192615, 261419536, 92597505, 779537253, 77040446, 192986738, 329720605, 47874727, 846786014, 205909535, 78777682, 190891366, 126650896, 675568969, 222281421, 115428089, 70094546, 81812805, 134758506, 33522266, 830067143, 617381609, 531428042, 456666876, 475950794, 482613776, 574805824, 592719726, 41538801, 50814492, 967950162, 968365358, 666119903, 892559617, 770033452, 979365960, 101316864, 877457777, 421711513, 789826045, 42828020, 251263919, 598206500, 71518387, 86193294, 414984397, 803031, 430365452, 682172307, 881851972, 312385470, 786866851, 239179832, 131354236, 277928169, 555173781, 699663109, 760178674, 789865948, 415597716, 822220954, 293950139, 768079498, 591922973, 383991762, 191165733, 542203387, 781478175, 895378810, 739645640, 863094922, 678684222, 735934099, 783070175, 892556750, 806052217, 345480190, 17260939, 140698505, 367349427, 707570644, 854903429, 205443267, 3800546, 683833089, 755039609, 581986694, 697016415, 117333626, 140952062, 906753170, 839656234, 628716135, 820528426, 625897942, 958616928, 563491627, 525091167, 331485149, 767914534, 728237044, 501787216, 179007234, 953897356, 848175321, 315972744, 698383331, 409235940, 467617229, 486880384, 488372836, 107519838, 820259743, 980991655, 921858541, 3355930, 256453518, 331282408, 663235232, 447734667, 257288078, 814525306, 608728185, 257439617, 213167057, 722827567, 914304286, 51870360, 611559863, 757387463, 198469085, 286372171, 669597175, 51808749, 553557117, 268378746, 353264257, 544455330, 463031182, 222897279, 420459894, 331588766, 713367050, 211377521, 524354690, 150339011, 484705649, 520126105, 87700232, 553770513, 98339831, 226786543, 611737015, 765737867, 659307432, 496054385, 614272064, 737079603, 41997072, 578138159, 554254859, 700070286, 944841125, 480484611, 508862640, 411480599, 894449870, 499518892, 592894032, 475310646, 485441524, 222277166, 481847176, 182363071, 718213929, 282050970, 460475408, 76896508, 685903685, 294396921, 288195784, 168869636, 896537932, 443927812, 595563800, 729077505, 545159501, 89447973, 273004471, 82223820, 466191495, 756254584, 106114025, 165009169, 816216704, 396879782, 518323930, 752647759, 430964911, 861306877, 717733267, 260979827, 887208241, 965418211, 273341289, 91940406, 880142021, 580326054, 399105772, 856717173, 78476775, 639096339, 253847213, 564547787, 606482627, 554978998, 806927270, 78012564, 628192802, 995050154, 352740278, 232910319, 450039834, 258833797, 238812131, 756676114, 120896019, 375091824, 227569594, 435715958, 73305994, 178417433, 711577306, 256768938, 45881077, 896445924, 757014885, 189917480, 173517422, 534836580, 722143138, 213932602, 917377514, 452988714, 425066907, 54925471, 610107482, 160620157, 309769992, 6007174, 901850002, 522539751, 898584768, 109668331, 962717265, 59749884, 895278769, 392214872, 166943758, 904147121, 40831663, 177414658, 711621384, 334197402, 195284460, 901593138, 58146163, 28391912, 699682805, 821709029, 635421360, 927795092, 280475275, 712837568, 244542667, 183048282, 666072032, 335751366, 793109545, 120895967, 192036212, 264664952, 134555234, 51274419, 961102349, 710247695, 602828549, 259112858, 286949172, 888529162, 852840545, 627008798, 45485364, 770582573, 292000940, 32377715, 233041037, 833396416, 437765362, 105158076, 657687372, 882221006, 474552806, 938445095, 926459550, 935541830, 14063994, 235852777, 354180162, 511941292, 8264341, 902337101, 782643553, 422878674, 343665052, 36881942, 423170827, 887659796, 43377451, 495102736, 911365290, 586302321, 504815255, 716812933, 638230789, 216247245, 562246178, 124100932, 84536200, 16090442, 192651060, 526228843, 898966274, 912511610, 225554667, 92784977, 104448762, 500391502, 689105849, 811367599, 525027401, 334788993, 431694710, 578379324, 743068473, 960327678, 399343350, 269582615, 695819457, 456156857, 808565249, 381304486, 999491855, 913822013, 618751148, 355199682, 804012223, 446439148, 427999808, 557519523, 732673464, 31002668, 377494499, 803143870, 752274943, 835553376, 133796857, 501490563, 367788472, 549626383, 698292526, 616671020, 57331371, 866522775, 252688664, 73079821, 598010598, 935039559, 973635626, 167334978, 205390148, 416893582, 381448901, 909477861, 514781976, 926213018, 793030261, 471849287, 829274734, 6830426, 670718671, 369155178, 519021448, 15181537, 968602958, 520593986, 791350973, 653767936, 389458775, 896075347, 949701433, 408501057, 188688550, 208391063, 998943231, 370363469, 654088759, 186473784, 731593873, 957150765, 62249602, 205478239, 643762449, 287400187, 75225367, 694661878, 769926121, 7931011, 496161682, 536275344, 766515420, 985302108, 925308582, 297991551, 986945914, 580689860, 764330714, 805441069, 485877674, 170393735, 524319680, 906018676, 318661376, 946838366, 752224903, 989435563, 289371532, 398898489, 870838356, 87599701, 163844294, 758756318, 771892077, 39184761, 930507079, 836250308, 781412781, 414155517, 879479718, 52963062, 188592211, 841390817, 261433561, 612250197, 449607289, 378593611, 503704137, 714773805, 856742951, 38076769, 549568523, 24433136, 549513333, 841764937, 657960238, 135708313, 60137125, 450270140, 788012071, 560930972, 787004400, 880670414, 811020794, 274819659, 235177316, 257557555, 710160367, 386607253, 372805402, 497050060, 59798280, 808019769, 617749308, 829203192, 959210582, 776701271, 551561858, 183914007, 79861006, 716134964, 299728215, 949515576, 736442578, 567955620, 355718206, 324276721, 509862630, 414907090, 667693536, 750492336, 605139641, 930738673, 225066005, 832061703, 68670658, 483072647, 274656799, 110861781, 483483931, 423520352, 525306175, 3617466, 323515564, 14898873, 901815199, 965461156, 790216007, 301406644, 293138495, 759445817, 842555899, 256301951, 135629952, 540861235, 9901891, 638382103, 31319034, 456244327, 814282659, 649904568, 174248138, 445330339, 6606823, 424421073, 943529020, 986785176, 880094610, 266075594, 8685663, 38632818, 963156620, 112390969, 196520930, 705024554, 137654076, 122707870, 815128681, 950241017, 23617798, 801366869, 187019213, 924339888, 106562069, 301364014, 691695039, 292145803, 467870822, 550842201, 646532946, 560186847, 888514575, 215736251, 227563114, 747639433, 592782235, 610882913, 632598727, 283225389, 86351023, 437344032, 558977185, 935972160, 283235629, 793173456, 605138365, 878880702, 537664145, 770341481, 47733832, 682513920, 949021620, 66191829, 214713533, 893991132, 978241244, 701798995, 83987517, 961280541, 868186841, 177920193, 555929191, 779330927, 450062780, 232686049, 596959742, 79208002, 14757535, 462751744, 960906784, 438755040, 240781538, 655699225, 176469005, 941665601, 222757718, 587695592, 430393768, 62848155, 215192495, 174214894, 207129154, 495795751, 432116904, 842949006, 360701245, 130637653, 300484745, 382951966, 800862996, 252452096, 146433287, 163414401, 326210832, 545509255, 716446486, 645468215, 57889849, 444784573, 361621120, 684974344, 945413745, 177031223, 776695156, 924972214, 409158561, 24596275, 684862967, 895156343, 362401327, 706524705, 548806544, 427263869, 458834863, 871612741, 583683405, 177495027, 945029074, 94913250, 51895268, 607216377, 959821807, 985765135, 382848887, 522980366, 655355040, 771717856, 627965810, 256700099, 16537888, 530374178, 470735867, 623020084, 53902856, 568950030, 398878341, 283682962, 891149041, 836479770, 390664394, 714133670, 487606900, 172226739, 349215055, 875165812, 512439406, 608784943, 970522459, 554892661, 45166492, 314307751, 439942392, 423791580, 940666800, 126516949, 888694196, 741991969, 466762370, 393584109, 225734211, 81527881, 884951817, 979328692, 676159225, 786518724, 260352957, 476180116, 575444356, 514335255, 959222258, 312011651, 847670416, 422024528, 711175261, 411112581, 159915105, 580916138, 744781020, 630226595, 139402129, 122828063, 798060094, 90781603, 991260760, 408082714, 619716260, 626513240, 374912004, 639943932, 610164857, 864491768, 477734490, 227029163, 131114935, 691150575, 535142511, 992121613, 609293729, 201673921, 524436968, 907309183, 268353439, 177228182, 21794512, 190731973, 810894784, 992769272, 739036579, 389534337, 967511704, 763372910, 935012352, 64128538, 48190377, 867018058, 996380042, 420780598, 929753161, 68986622, 845206981, 394444638, 211765547, 79131930, 932777596, 478675414, 759426025, 884733619, 747276503, 426912120, 516069620, 78830699, 646480874, 24672688, 184643608, 481124433, 269694463, 32077626, 907644484, 390252575, 262091312, 73937905, 46525203, 95454906, 535705793, 662143412, 881377268, 982662398, 675891294, 710102324, 421115228, 337611961, 666348812, 658782370, 989757007, 661061898, 963598978, 992380849, 483437648, 499147303, 513117342, 264064067, 100528606, 12222382, 132403761, 439280442, 742802954, 61777822, 622855461, 372584426, 147727116, 45830519, 980801443, 526910810, 674897126, 855862864, 202744168, 10493031, 117682876, 686249241, 7079169, 853496237, 912038580, 447630545, 103524112, 692267867, 152968562, 543830855, 181050977, 211757142, 774311994, 113817448, 315902384, 940443387, 783835584, 645350335, 125547747, 747052773, 142993010, 673033657, 844437958, 787409594, 48378546, 910808092, 630134744, 113218300, 667710251, 996509871, 198532695, 445856547, 875973782, 42306348, 791012231, 404889352, 356668561, 49851057, 592958454, 676537236, 178756817, 312622085, 829348988, 603168866, 654877090, 18425729, 826747737, 754265353, 951185364, 706318471, 102788002, 343502696, 398938350, 413394823, 750310469, 45343657, 401449639, 618729621, 62351445, 844313505, 395397964, 963648077, 651995323, 838212355, 850847780, 999071869, 871989294, 572992765, 261470632, 632797985, 716621396, 744901322, 535930132, 201620911, 101951774, 702903213, 522918587, 702823119, 973911205, 634509294, 798231993, 133293751, 809566081, 157704814, 544498301, 333373231, 92723622, 779596356, 937707353, 880866598, 233728921, 562694570, 810057287, 113083873, 164088099, 143264421, 339290781, 589770107, 861136339, 758030776, 409520632, 871102261, 247847069, 573305941, 321883511, 315100525, 876785258, 740717397, 62002586, 178261364, 361744169, 167072334, 108847058, 358148752, 270768595, 808184931, 938512609, 843759802, 449236291, 919289971, 795370337, 417679458, 197715162, 138241360, 101933235, 984052744, 719363270, 792909809, 165780290, 886077458, 486436465, 876546243, 924956403, 394761858, 851249682, 807090575, 973521072, 11174078, 328566182, 403828733, 432932288, 431710249, 884496443, 546693001, 542358792, 224275405, 588680978, 90464244, 85287478, 71991940, 80222350, 561055237, 506543667, 375246969, 101343817, 183578744, 621734530, 288335469, 716668481, 38057259, 129784541, 951631837, 997143879, 959061123, 796051847, 349673827, 519850893, 487255013, 812018827, 250027359, 748273919, 145868348, 311430422, 37965045, 319918407, 183170340, 646916464, 459226382, 656807501, 915620393, 225465700, 630787960, 440004231, 786806684, 705030301, 197806032, 70788076, 457579912, 799280078, 330846114, 638035010, 924660472, 541776518, 257961657, 750123548, 129833402, 469180741, 750339922, 758653678, 257063404, 558443537, 496983318, 767625441, 432991580, 474236944, 150240799, 198718103, 197817385, 849529177, 397143458, 16882738, 197880370, 823543591, 89403997, 953685112, 601388905, 601182098, 659537392, 535396075, 751685999, 335583693, 197315686, 472399654, 571059657, 206323517, 206374223, 24002176, 753774507, 443822538, 882418544, 258135869, 328173194, 571707488, 685650102, 251646705, 652822036, 576206939, 661922189, 904725256, 292043343, 204291128, 976670096, 842340157, 291200222, 425677498, 517660168, 165986789, 587451396, 245600941, 635857758, 752784930, 744893399, 351273336, 296056002, 904292182, 462569412, 987074589, 73683088, 767818219, 893690658, 606969296, 503490423, 842389148, 426933629, 67110827, 85649744, 199203408, 304017697, 10237790, 976233517, 42315581, 776902407, 770922679, 173572947, 585320719, 72444716, 505389556, 488264740, 926372382, 407754262, 388065142, 157527537, 558833258, 212612289, 691424655, 9685933, 52158997, 633535740, 938767558, 667478627, 184645243, 879040778, 630151381, 928552979, 932056479, 420309219, 859747306, 318244352, 186259527, 296881442, 851718548, 647936877, 193348484, 459219850, 228153444, 966312639, 497165300, 896644231, 311823762, 963546765, 143186218, 992846370, 378428503, 421881945, 174172642, 628890499, 793055267, 312849373, 708865812, 391435264, 917729439, 749970452, 481945070, 591073126, 775686251, 418763299, 765436259, 136951135, 547038812, 746455081, 542311913, 520571978, 269289429, 859118737, 140981392, 869786499, 191918239, 255591316, 706147053, 482824952, 124422990, 783745646, 875740214, 953379459, 340585243, 220658798, 102646316, 436587005, 247681674, 48484193, 949686010, 131497075, 332111544, 185253036, 339425941, 728434345, 571827032, 664209333, 884529072, 812848625, 413866365, 586092408, 724535855, 695053701, 32947595, 427492187, 726639656, 239195781, 382674583, 397170187, 317037048, 285394649, 28582444, 154393927, 845943157, 667189694, 505186376, 152001205, 69890279, 700534095, 464122047, 132970103, 464467796, 200686423, 356022417, 687608388, 732185599, 192113935, 640469456, 46307778, 71434413, 456508991, 476217272, 262199818, 258100938, 24606521, 552281656, 667779321, 504120700, 608468467, 197773949, 535176362, 479608772, 882267847, 31488415, 543141118, 173019967, 364683757, 570823918, 225113597, 353992855, 803060273, 963166573, 703190115, 499484075, 268366685, 359268854, 753396714, 52876584, 927348410, 548917903, 392543513, 934116997, 370072870, 870300660, 422155840, 683695309, 424388172, 178019500, 289206458, 76455177, 953413903, 151115141, 348706154, 637376528, 475236070, 515932608, 218807011, 479339192, 253955050, 105195330, 603154913, 183713770, 588944977, 731527770, 670286984, 923559625, 77492802, 785020458, 509231478, 120485872, 182401120, 272232947, 871378281, 217005366, 542808669, 427741951, 360401189, 874219007, 241901547, 23859185, 310819405, 61331253, 656177843, 682584499, 142682598, 895534961, 843970673, 212037472, 693555255, 509046092, 839250486, 654124990, 630406427, 870528465, 806739311, 738511194, 477092368, 647782711, 621360480, 604768237, 274910334, 552344723, 5072231, 499865159, 984109026, 444172667, 676206831, 604301647, 527350123, 430214573, 610482340, 220636515, 550505443, 618958227, 713192165, 510024904, 344994657, 194098951, 700401204, 630887290, 914590490, 591741284, 952721192, 238813291, 314387534, 254911996, 79214472, 650204897, 847889864, 547806038, 456115762, 223821335, 202406119, 560949839, 803053119, 95571707, 399911447, 43842239, 565317566, 622096491, 695089438, 815601030, 595672301, 392268544, 716146722, 470803653, 883834020, 970847560, 701765548, 286157300, 62924619, 748525139, 103577624, 943337595, 73155459, 760843757, 513708679, 705977475, 366623856, 579043914, 200616919, 784209559, 429366696, 320469284, 192143620, 311619636, 799020161, 220053335, 196995147, 717079613, 427586579, 388575636, 208859669, 415268595, 590869920, 328211133, 29818295, 379537630, 427982953, 721932372, 451089583, 944258357, 449670675, 8802472, 462535856, 374221990, 544518804, 614939751, 664155080, 220791023, 646747963, 141730058, 600567676, 548746593, 42006939, 506928919, 388337441, 805528704, 433753194, 394583450, 26629244, 587712934, 563865967, 649227328, 563795660, 286992375, 550530692, 28451011, 901274004, 539503532, 849292216, 808264190, 138679221, 66181290, 671917361, 486995805, 752205886, 392618571, 692021192, 837119478, 860851165, 378477125, 938792542, 862795395, 801355905, 499947997, 224446091, 66286805, 756665739, 126387897, 212884619, 595415220, 576785178, 781865583, 149149915, 496972965, 457513292, 153414755, 858918106, 771554527, 419538573, 308555511, 641992757, 229520170, 619989260, 801167848, 923537064, 62456999, 805429262, 166156920, 2996241, 238660490, 402147108, 817778157, 754301442, 527076474, 830831377, 734932704, 423902497, 896820147, 99592025, 198462893, 846713152, 812178420, 139241356, 604331222, 338794956, 994147529, 617404366, 884982071, 105606778, 318049457, 674176627, 402907225, 472915616, 666916973, 115696169, 121522052, 346201588, 265420476, 241426472, 413971409, 375509601, 734351173, 698251107, 168990865, 530779350, 987373229, 846153091, 181246339, 435735688, 811139917, 954497675, 533565947, 306560157, 883675041, 403591046, 594079703, 447723377, 160233497, 699890327, 481446190, 340177737, 90051617, 104042955, 903427388, 399734068, 950080702, 397002681, 482815551, 735449742, 442518669, 804685851, 222025961, 176726922, 756802312, 53240321, 996490375, 278888697, 461820122, 941150509, 535695007, 184199036, 119026832, 617381930, 195032511, 629269426, 153911428, 810652848, 669186940, 449059710, 565078906, 63503115, 607333641, 65519100, 62520163, 891814964, 685913413, 690853830, 843473121, 227903954, 72685350, 861825444, 614094701, 279767975, 843394998, 649833079, 228462507, 121017706, 119912336, 235917690, 618164566, 67439665, 282252586, 258698732, 802348389, 33030743, 451131762, 257667573, 796526681, 82324688, 821493618, 910025481, 274484513, 783760658, 821157014, 879946706, 427556643, 306153549, 47759392, 129436233, 615242295, 388269609, 510647271, 415237161, 339943817, 714607725, 5403790, 473921077, 334491268, 889077548, 344974702, 659147233, 858948144, 220988141, 249775464, 777565725, 337626174, 574899167, 276312473, 93806878, 91766178, 888726234, 429774383, 884927249, 958938121, 841309991, 139074064, 761865438, 320014750, 289049382, 667619706, 49926729, 375921454, 673654388, 826913537, 559433004, 806631585, 207537306, 941870265, 668193961, 113905888, 511181923, 365504016, 29332193, 179733032, 689968524, 33818359, 732032382, 366769639, 440841737, 590597302, 711029776, 641907359, 400842032, 119609123, 877410219, 366472486, 830246618, 126457080, 102061641, 938917340, 577298030, 990630671, 235857330, 607068700, 523329816, 773185738, 912346756, 852868708, 626880520, 258242438, 339641582, 677501985, 616492245, 975155276, 750076618, 507379511, 727882452, 634604422, 160799383, 553760785, 187170102, 153389875, 172765314, 242365684, 103080367, 960917262, 725618540, 136782716, 306935868, 332251414, 302827560, 4534558, 599731380, 512070813, 498370165, 628168342, 780047487, 857655236, 932633002, 236247944, 375334199, 156553997, 427961739, 948384369, 690781519, 876343048, 740570290, 261355178, 279373818, 726386489, 150264219, 103475017, 605507994, 725013850, 160330044, 990045725, 285002667, 885231440, 273234191, 41226453, 798600253, 176854507, 829642569, 113344172, 828579146, 129645139, 935947574, 389423159, 613816075, 725641575, 646889249, 356863614, 379165206, 964162487, 772991295, 102696809, 83348596, 241606638, 210388072, 829761545, 436132480, 216201543, 388347211, 297034652, 386171361, 70350523, 777688829, 607571964, 693073127, 85965889, 999706772, 175782562, 359112370, 229532332, 735872523, 784025234, 967205006, 844390165, 426559001, 671283170, 12556703, 971898846, 261302708, 662132944, 465308733, 970721821, 880284676, 177954132, 955699292, 397936773, 692351474, 844663115, 662969474, 485324703, 708373230, 152037471, 417568351, 311562436, 418736167, 646330711, 624931158, 174508782, 751386573, 992294204, 32952294, 476510762, 631071515, 301909226, 162293674, 447679893, 89187280, 286486730, 743712692, 492707928, 673605204, 631966861, 531999259, 229362730, 129274509, 967869309, 109336746, 426951290, 308759016, 918220516, 886049562, 642630626, 606432014, 981716920, 475748692, 812953939, 440652169, 846148060, 479598670, 137167102, 862420932, 228343608, 905810535, 33945182, 29445612, 988773226, 124888137, 944000876, 908020561, 475646924, 919103029, 153527250, 712325776, 514620425, 56512204, 169752547, 515000856, 337176629, 917358580, 782430354, 506382267, 985688172, 266225068, 135274447, 474138818, 318635774, 527702092, 753878886, 497118316, 790981254, 856316321, 715127204, 243401468, 439797950, 774130813, 58807987, 445075727, 253345427, 962833228, 788947732, 859866028, 659618817, 973963885, 941852995, 253924284, 111356119, 506584661, 133781686, 977883746, 609409996, 217337620, 15851274, 838212745, 935170426, 539815132, 571883823, 48322423, 231490064, 402695197, 336135665, 365023505, 893483072, 320104217, 35182744, 37458171, 65053925, 218779454, 607804935, 93952143, 219582073, 873502930, 784989166, 328744560, 6205386, 668962822, 870244124, 908379624, 424809034, 706968776, 711820257, 954809493, 637057553, 879389526, 467574501, 843444928, 575788170, 698363325, 538204942, 938436212, 11976087, 907584229, 905416357, 526113975, 341147043, 469172221, 195494350, 922522072, 515773557, 930190105, 934808202, 927113914, 772530198, 465422090, 279076776, 665643551, 384601289, 434862352, 357607828, 793915336, 574493776, 922723623, 198214099, 246041536, 710748361, 79015603, 49485032, 825069684, 504870388, 567309366, 687355213, 914537538, 142564239, 44249321, 718758238, 892605190, 478721229, 434772407, 379838174, 302902597, 913462671, 433537235, 792380351, 371467913, 857463587, 847013545, 730519600, 409906301, 694948870, 456102678, 370654650, 682494653, 789667529, 837137505, 47739666, 552751410, 569634310, 560626162, 149605477, 973234220, 147296732, 459483329, 735640021, 288530144, 752954645, 364664456, 880109840, 658787517, 159947055, 841126934, 795135335, 24939459, 374747370, 53132679, 919320475, 145105089, 730188285, 281851290, 133658085, 158239624, 395277620, 304814744, 753250845, 184935586, 153256123, 724572479, 290022686, 23078244, 946851486, 469742398, 499880909, 981339354, 327805000, 652554592, 356193727, 859016057, 61840734, 768407729, 561904805, 788865026, 226989488, 388635589, 353446729, 78290734, 73959268, 827087172, 679400782, 697421671, 206161038, 530950509, 111878419, 780343086, 9401845, 876798512, 298197704, 751574568, 312827502, 605792728, 728544474, 452972411, 735067677, 27809658, 908703755, 957416164, 456250770, 870056156, 221394430, 169537189, 138164745, 382800667, 98731449, 863423187, 331122026, 911360499, 378888971, 112087501, 931297153, 73858829, 591682848, 936703850, 571153770, 307632926, 866931411, 675253548, 785654430, 105570264, 601897938, 295342893, 277254187, 253861857, 825936179, 955263670, 863444231, 12571252, 517584217, 922762502, 171163720, 519208521, 934298448, 392893482, 859792948, 791314479, 2324107, 425485280, 573027761, 793180981, 699339825, 197704285, 114064034, 882761520, 525188987, 352258399, 158591921, 228223744, 577727842, 497444636, 799917260, 441665280, 384163823, 616538328, 714985455, 606302457, 257523249, 207376543, 728981296, 866240522, 985477881, 429098309, 350421686, 24010149, 723930411, 320259348, 406539069, 472932965, 382231923, 116812682, 284521223, 291869729, 134697644, 276439368, 898610094, 194470465, 522279580, 388612777, 833342687, 461123050, 713766610, 356357286, 666853884, 146054534, 690711667, 726069790, 163566060, 359279748, 521333801, 987127921, 163516327, 816443479, 611069314, 835224770, 202559099, 13802093, 845225036, 761416117, 519420361, 768359526, 456400279, 871116785, 701482091, 61038050, 440033230, 644995589, 152672101, 527104927, 453373572, 868641804, 159175001, 478346239, 928308397, 726577447, 595954195, 488684548, 499735113, 257036062, 696849821, 841399275, 796094269, 371078262, 200339798, 39035855, 991218947, 286915617, 270073602, 265738012, 944318782, 593490283, 27962583, 138443278, 447633219, 571308086, 983897444, 947307235, 185124736, 694727686, 808734406, 764577151, 171514099, 297681165, 601010684, 374185819, 243756247, 532895680, 628338818, 288692972, 335581945, 547315962, 427685919, 733713837, 79372441, 747567966, 537249669, 819332669, 463162192, 85348741, 133032751, 973678012, 152544867, 896016500, 893948763, 933343979, 725291732, 516201750, 323711994, 4955764, 715569801, 742067799, 905556224, 45075824, 282584140, 65258721, 10821258, 441093980, 92338026, 611171698, 684934465, 471407231, 656313587, 990167632, 748876024, 353382160, 440277781, 964869659, 384660957, 261846480, 763852824, 271197915, 300104924, 644736159, 506999404, 292838219, 961780596, 654345329, 704309011, 520850047, 661086541, 892443638, 515797075, 621833933, 588550793, 54434134, 235229589, 20452239, 843698190, 382595353, 68803072, 302331110, 482059101, 856602208, 912449090, 782836868, 717915070, 876163, 546737205, 969161625, 941089739, 978052532, 788410283, 21637417, 238832062, 799665806, 789692577, 261882831, 808041826, 595679052, 783778842, 452690765, 302590529, 772683109, 272994777, 324617638, 584442710, 178322849, 916503917, 436462436, 880331045, 222286886, 854165314, 902841519, 542848999, 712588454, 687723278, 542254198, 411562833, 241493298, 954062139, 608770946, 506542822, 645763541, 729455441, 627476190, 385977377, 985329603, 128767485, 190689089, 343800938, 963013049, 398551470, 526633738, 993384415, 641341434, 757778102, 25424711, 263562699, 109914044, 547734031, 312181506, 632714500, 244077900, 224954441, 549086300, 42803437, 276505836, 919073149, 427077491, 637392197, 623330204, 82491643, 568625578, 215993018, 93161856, 163660074, 178832488, 124087955, 642078082, 997408906, 384000579, 631662498, 333599272, 23186278, 9146450, 510692715, 568326071, 610055998, 776362615, 438844177, 914729695, 5579212, 155140044, 674993697, 296196648, 162296212, 135585782, 771136084, 905039604, 27250355, 10902330, 57501528, 689240616, 580448567, 183798520, 584155994, 763830496, 918063969, 415436914, 860123327, 4037531, 438019975, 620710857, 517393953, 935310691, 936350458, 652933810, 108166201, 254717021, 838766651, 578110211, 297122264, 161513933, 142068016, 813118274, 175328604, 236880202, 177838176, 838473253, 867641450, 434988297, 178194957, 711345205, 849864501, 376796250, 334502636, 65760746, 192154802, 364665139, 18281603, 440637375, 522543044, 28333790, 119203428, 694252338, 941092310, 598319854, 10745261, 281789358, 603329421, 261353889, 385147876, 660182898, 532904332, 708844732, 331937461, 734907547, 155614260, 26965500, 81416529, 702286142, 53097958, 434314221, 309996497, 403730290, 33611546, 262870855, 739870499, 578971574, 379966093, 929443081, 999303963, 602668536, 787234850, 75306367, 936064135, 977197769, 688496845, 195256983, 477542351, 417079871, 377274369, 577742029, 177404513, 980327634, 583677071, 517056576, 640631518, 708879489, 805535680, 62894695, 595664511, 332571737, 812388404, 779658741, 942064486, 335893628, 167197329, 358479894, 491007543, 612890661, 779679952, 689904636, 253336999, 278620343, 371248251, 789888057, 149049342, 912304668, 631848248, 751602437, 273356057, 563164676, 711330911, 968382210, 201161873, 823282905, 877999884, 355340529, 272037407, 705670101, 753401301, 619249959, 169713387, 354500180, 502261125, 828818069, 127957696, 356290682, 598682980, 289808365, 86836967, 737227251, 489364928, 402516509, 482667885, 27247025, 299364406, 232686476, 353990562, 560169800, 661198913, 485710145, 343717403, 746713295, 908408637, 576013552, 246980795, 558385699, 96650865, 470613989, 848850021, 529660384, 652740924, 882066171, 227805158, 784099461, 725325670, 579542137, 663899280, 19989021, 516443020, 533274478, 679360672, 612206249, 938321270, 779779223, 202830049, 890713030, 466780607, 59045285, 174181504, 417579350, 306813352, 332892802, 996020366, 997409112, 97136920, 919173956, 107404537, 244154386, 878150105, 279007526, 236061846, 906587212, 789798941, 642466144, 149849458, 643110359, 79453605, 32484311, 840717495, 171946073, 913153448, 615861679, 541677868, 955147237, 695453787, 247788629, 654621383, 684095846, 666908694, 863771718, 730329282, 396811286, 732726019, 724198053, 929353732, 850798639, 582666304, 998456410, 841578171, 695631877, 520195833, 490898042, 472610759, 808377280, 375998947, 884012641, 99754886, 451617520, 118229153, 145697836, 397620199, 351293222, 383430910, 848033608, 42648166, 105573834, 986671983, 447479418, 501872849, 545090887, 744467435, 616184657, 558987255, 882315864, 319858016, 705622429, 541828974, 175441691, 424211646, 517736727, 301637700, 103063174, 847424044, 273788175, 905504751, 545919758, 578212973, 549941108, 826902534, 797082592, 99461489, 855480423, 878817983, 306095917, 819900440, 584827789, 724406483, 202536633, 868182991, 299426620, 479363599, 267451955, 513026284, 732436566, 41702584, 397384173, 794933583, 746860671, 772837952, 258059398, 500306772, 972570470, 629604993, 578820131, 849870064, 281734709, 634880960, 807145677, 667604919, 79466003, 188577198, 888052060, 349561531, 382827997, 196624888, 535816530, 638357181, 554926955, 106556471, 222277358, 747327164, 405325440, 22201634, 421677514, 391400292, 619558344, 330555734, 577023864, 64194471, 703650259, 677716371, 131765253, 281669338, 124867831, 414344706, 369038508, 603210693, 165471764, 357685849, 991888913, 511522954, 382258712, 643530117, 27113254, 640665893, 295801566, 382467765, 766234858, 530400395, 165709546, 89532349, 564924291, 6244531, 790752453, 883923231, 496870526, 316651458, 612924929, 788248302, 966351751, 323400513, 911478210, 569092655, 943879308, 422203714, 965523746, 562984424, 64022586, 806190705, 167496758, 641805918, 191764120, 295850998, 375417589, 809207166, 975411321, 375831846, 158385880, 987281039, 550957028, 593983760, 805398028, 39828354, 132308789, 818953620, 246552239, 365293586, 304977690, 844723195, 24991068, 123169971, 512153742, 469442084, 625537010, 243830985, 579082318, 353164745, 305293231, 627043652, 730121496, 442351250, 52870137, 238325162, 762372626, 598122954, 314344798, 159357364, 610825037, 455649989, 199640835, 580817601, 613661415, 754476177, 936752510, 109748067, 653115716, 712255458, 401863929, 640516390, 664852079, 401302699, 254879859, 315908518, 279849270, 112849837, 953629181, 995921890, 220350355, 549745687, 427174515, 907809848, 20919751, 111232368, 276049483, 481628247, 357664604, 586618352, 232879139, 237347783, 567933790, 213482734, 555080147, 473242178, 657828545, 370108160, 269452828, 860964504, 510731579, 643413980, 625358220, 574859101, 363078768, 103512628, 816503444, 599387487, 774433068, 767168299, 920746951, 415520927, 340801084, 820009054, 743778893, 288321944, 741104433, 203429562, 690390373, 357767917, 382025003, 832632768, 832466060, 550533818, 794618693, 607152667, 130682746, 944415824, 473084480, 580884539, 153551990, 566800058, 190993674, 480529763, 619221763, 109524653, 723282101, 22936687, 20462711, 595445807, 883342438, 284958572, 401924811, 414775488, 588064839, 557690363, 65322563, 848430476, 172272590, 615519974, 524496378, 768499263, 345888790, 155648476, 202614185, 566449064, 73984069, 21337723, 225372443, 828662486, 82036917, 715953250, 902452421, 99003514, 207539752, 29686005, 586158854, 398755500, 551822239, 246818291, 413785141, 92594693, 94815105, 703404793, 770710501, 108204816, 321819180, 915025673, 549339806, 447557876, 691203951, 298179857, 267334611, 280167880, 442528720, 734913948, 611020569, 200461785, 57147134, 138272981, 192983449, 61724384, 131418270, 721246983, 166256437, 602942736, 789661974, 856055504, 993889285, 32943987, 38870262, 889783590, 675882966, 186126058, 147392348, 267077975, 162847064, 451272139, 347767396, 674363424, 6561597, 487788186, 863080357, 776253077, 320940847, 406959622, 977166986, 962793811, 761803083, 558621740, 390311319, 665108584, 839874035, 395475552, 982250578, 449222169, 245474248, 888772349, 317351668, 712597707, 391040573, 532191613, 542430254, 108020254, 236575508, 352573974, 412429020, 761860104, 765472973, 31680253, 656728313, 728796173, 431308889, 393938417, 481593201, 87613488, 938855903, 968748621, 919118133, 450291598, 666874298, 305595859, 403915275, 414246186, 407731775, 858108781, 87948805, 724866802, 486734095, 439327007, 480352316, 234598758, 538357265, 602781913, 438408161, 649404278, 693105091, 230529754, 233390615, 954418926, 60657938, 99032537, 380244989, 786706427, 276414103, 641838071, 449884631, 173088613, 822506735, 853710559, 428092076, 347803147, 823991279, 765585931, 323141307, 989116973, 543175492, 34269431, 527565142, 362203788, 775863907, 815000041, 752575968, 150027644, 521604403, 664575867, 153380163, 697285986, 453674017, 230576213, 1181919, 380124291, 175003433, 658105446, 839760262, 303754046, 328263577, 208327180, 968613495, 3519562, 129139485, 629147239, 88805630, 157913059, 293098095, 92022106, 760846725, 668078469, 319045230, 6669585, 743015403, 154683625, 674288556, 348453602, 986828487, 961732412, 367219468, 996543718, 103758602, 304513366, 136051729, 186177115, 163413509, 586537839, 225994947, 599064389, 89439754, 793296950, 692184861, 235611153, 266496256, 224762201, 556601693, 482947678, 947915775, 555939991, 157633548, 765118763, 82831052, 865267165, 546073611, 825221959, 303947129, 733751585, 859320546, 310021265, 49036059, 697259756, 889918958, 386530732, 419010310, 405377320, 921083875, 724093996, 664122095, 440211938, 496103772, 160272802, 383005149, 545216551, 656152483, 341765248, 456592703, 803534566, 558626205, 247698093, 139054892, 222491365, 59943983, 310424314, 892943384, 446931163, 216894848, 408033008, 694313587, 60829767, 452291139, 644544335, 123964878, 29123779, 668630747, 702083790, 595684217, 804488833, 195320448, 643271785, 370416330, 56613113, 73544884, 715752792, 318118026, 718162549, 449997356, 636794699, 931221080, 812527150, 339549486, 931155348, 429196402, 213435547, 267552028, 856183034, 675091611, 303823105, 12310835, 500614708, 573374278, 531426335, 386541988, 152968393, 827257032, 216032747, 869439813, 140966325, 243224305, 939310904, 45251479, 785252086, 882372071, 883417183, 381177940, 688392972, 543638110, 132979153, 786585900, 708763701, 550948086, 624516180, 424267958, 305036542, 817893120, 629894705, 152578382, 982451184, 19082850, 604653613, 357978737, 837021256, 694995689, 480638298, 695433963, 96717917, 749491387, 397508095, 790904007, 969217436, 964081954, 276903491, 459828375, 875153999, 465360195, 841117767, 682834924, 80167580, 791010863, 439412786, 53207135, 584557075, 320961177, 199570703, 417365984, 268137477, 955591191, 843585161, 28755312, 364078606, 341342576, 333972191, 330757611, 495371071, 917804256, 813833033, 571319981, 709023241, 903020404, 815931441, 133898134, 481814853, 286964017, 259281113, 15371922, 17655491, 544707247, 625212523, 343134107, 445448816, 202042404, 953365011, 829658741, 487289511, 454231530, 757080686, 803954153, 240051944, 600189350, 631455473, 545993733, 497602211, 723605378, 306687726, 811251489, 48476437, 972922801, 457106779, 710628144, 709155984, 576162853, 344024790, 816376890, 196429546, 650450533, 790567063, 609123122, 140479732, 487008302, 369417524, 410474233, 11813284, 338146957, 203188630, 88102837, 170677347, 775550018, 464573727, 90153625, 541346175, 396924120, 299508089, 527710787, 791032897, 268564730, 42565954, 426977014, 336755137, 403212182, 685513930, 860705604, 850541170, 346493308, 449478059, 110951442, 136671989, 743900574, 344735236, 732703913, 136341356, 260215485, 998541286, 66049556, 76863135, 621931343, 985266622, 310981433, 252356189, 87419649, 412550387, 827098746, 344850697, 496390241, 369977236, 451804701, 800828418, 146286550, 787903606, 425723941, 574942637, 276837778, 342477284, 54756520, 664519710, 976015346, 482419563, 303072745, 550977753, 904426405, 85264193, 612955089, 407665082, 37748982, 61475960, 920998609, 672794839, 968810138, 792910737, 50548557, 301565461, 906655161, 128234837, 223760348, 230026089, 565798302, 754632310, 537260842, 751777667, 506880979, 600136789, 494985158, 677530979, 721576499, 35405317, 882354364, 422438968, 889433442, 347294828, 271092958, 512493351, 775370194, 78737810, 913395194, 897901175, 304137313, 660334285, 445626175, 809645137, 776420503, 736085824, 912571887, 699437957, 171929029, 671923949, 509305513, 378349236, 651277485, 122346307, 49591519, 674514626, 481954838, 666347680, 504895686, 752117684, 278636413, 769505779, 567601552, 680010508, 631200296, 973446048, 883371933, 885899834, 634569103, 176560710, 221166564, 549093171, 153813284, 364504722, 98760078, 665602446, 194151028, 525242702, 92538385, 381755011, 130991245, 778507278, 124865678, 14272788, 297724620, 304489867, 930758239, 481089049, 154931032, 733649495, 388095642, 239453848, 823842734, 10444581, 349741361, 63335399, 721524986, 838739037, 489711692, 253298657, 257176411, 641917782, 161128040, 344875658, 585148129, 670319011, 893520022, 76081745, 395731149, 339944870, 141815783, 358925659, 602137232, 507679952, 717039033, 117698351, 176692785, 605620911, 214618123, 871594292, 29550497, 436923319, 895643206, 967674489, 286252059, 948972642, 78451656, 162734352, 657456496, 381774145, 228053671, 274601057, 677924121, 339345251, 622719822, 945162065, 334975364, 693638534, 901314321, 297672549, 200281431, 723205570, 50355776, 356163487, 839915477, 490168671, 301725111, 562800612, 905966369, 704232448, 132044849, 865196055, 643432579, 702922075, 896763731, 186411651, 189733557, 616494184, 588079910, 835637604, 49607359, 867079690, 399563719, 926730595, 409191642, 62016944, 199166737, 51726493, 437552208, 561678237, 553396151, 326755083, 214644391, 241145677, 859679638, 395101672, 840272035, 5395829, 302547336, 527213488, 402371398, 947772447, 40460387, 631014116, 47273829, 376527015, 205088412, 999591195, 612492796, 96886772, 656900360, 450759419, 64659009, 745138929, 721779261, 186265385, 7844576, 158488755, 635839269, 499216146, 970953970, 180478362, 302603671, 634629607, 736887111, 165986394, 245649947, 160545025, 217631601, 953310807, 8684568, 572232893, 273648126, 989391590, 365358013, 181862891, 376076035, 266483727, 134241586, 123990104, 30983681, 179596556, 903950726, 678607216, 218442403, 704261288, 448391995, 86255317, 342155702, 738094846, 433821052, 187167301, 755669208, 76747788, 175173991, 916407634, 83540991, 490093700, 561315184, 372637720, 571337702, 795213203, 942734536, 658218630, 866202070, 419477828, 815139043, 358815032, 701061429, 344239562, 658886250, 905394596, 256692567, 523754643, 426772438, 820004502, 290500056, 301444506, 887680978, 768335275, 52468787, 697010351, 679253824, 688908625, 440122348, 319889522, 810420547, 113823091, 378128385, 596393259, 520104589, 57322075, 248931053, 284520835, 121037934, 785244534, 694617743, 911694088, 570282400, 474362624, 22709166, 230096113, 524087429, 420452243, 411633800, 334702851, 270203555, 534168447, 938004410, 907880246, 574229832, 553690840, 397582945, 531081371, 142455337, 350359642, 463641365, 70522874, 455850683, 160317199, 160954644, 691602670, 21680611, 745122717, 985110278, 471362921, 180404964, 163499070, 552221301, 544873473, 77047805, 100813730, 729635337, 530399110, 416201065, 91901151, 251742917, 84948823, 70360328, 619934206, 754484773, 125006984, 52456028, 209935159, 532292505, 956160482, 319215667, 773037368, 653017635, 487766112, 327234175, 672767315, 463331495, 888171378, 749618900, 156233392, 10537697, 366419216, 44104553, 69336931, 165236844, 352871762, 46299973, 531477339, 41417364, 775044365, 320600462, 125980965, 395192846, 850377669, 224083642, 348676404, 416603672, 372531946, 112600302, 962920248, 159467673, 834649100, 816132811, 230736193, 805050062, 27564539, 83243956, 194762129, 863932750, 450436943, 526335516, 641386226, 385057115, 236867949, 701593856, 837310229, 913838064, 441748334, 518067402, 369993532, 713134894, 455384439, 506514016, 227561447, 928439499, 747660066, 80936653, 857910292, 536118965, 372855979, 477553629, 158859614, 717036020, 612910221, 177371875, 920614988, 267855119, 904937494, 817679231, 244709354, 168288296, 388272226, 354465469, 448813267, 477006816, 274207732, 704675430, 549310363, 527084485, 989736419, 402272791, 785457031, 663755886, 727428753, 997462612, 428652370, 752489691, 749790283, 668794814, 626392404, 468315365, 477735580, 79469587, 8457964, 183635575, 191476519, 729948415, 87362202, 250262505, 236313093, 31527590, 755414697, 823387100, 409436960, 542845763, 587272099, 608270713, 526772735, 343601689, 155136791, 169618479, 116916779, 426422, 115813795, 609828936, 65047314, 681646366, 679204049, 396017727, 83920520, 639617970, 126699525, 302059639, 236274394, 393520908, 569169869, 402334979, 735408329, 174636318, 365258609, 12134705, 598436276, 254099894, 224887800, 820146868, 911966314, 89176212, 22568506, 44322479, 854077800, 418553421, 200565557, 47887077, 38167258, 993707106, 599260284, 772176880, 875475806, 784372658, 125789906, 926015584, 263241596, 662814547, 927543603, 521655845, 811487023, 221117204, 180427532, 659903398, 354777245, 753162304, 913435497, 113210286, 290747230, 273404460, 380278124, 500177934, 807648982, 436431573, 450626776, 708871174, 987763825, 110751987, 937794440, 878045771, 113722498, 899272204, 808941047, 280746994, 727777315, 112355986, 938779698, 607279688, 647531776, 292546703, 999439469, 747531740, 816751666, 501482229, 269017391, 333044675, 34562390, 478907946, 378881140, 603090272, 423964905, 96756416, 103413711, 463501695, 878746807, 972077031, 878121455, 70097295, 771555163, 778515751, 714265021, 709181122, 68932333, 372787435, 999488673, 815926121, 173613637, 325590456, 529982576, 844716595, 188643255, 729160602, 408965474, 203355813, 808010222, 125687696, 721530689, 803243417, 888503393, 760548223, 569136273, 20328868, 982368399, 682418271, 424299068, 646818202, 699893522, 526681114, 769602723, 486617880, 992631097, 313072497, 931738011, 211135186, 5746355, 334007899, 336459593, 928838298, 506138360, 186941476, 264032572, 436245078, 87901755, 938428222, 425600912, 505894359, 432286816, 899291953, 127275090, 528488766, 749136397, 398685024, 371444122, 691263398, 731718923, 319232361, 151885042, 822189268, 533107845, 570043448, 452688062, 874884006, 671046844, 869349848, 111413012, 953377055, 594145079, 782669788, 987070770, 87658612, 812401213, 612678411, 44813677, 624621652, 473825015, 280525464, 440493655, 359736933, 34254641, 602103293, 963384938, 450477231, 22173927, 731978510, 206379448, 656241647, 518134940, 609599363, 739238590, 123258423, 93171933, 394618864, 186397051, 168046789, 106955776, 810590060, 179640257, 687150097, 392957799, 945213335, 358515734, 543366776, 727244010, 96020968, 357373675, 243813900, 90829957, 490805934, 98604323, 344396328, 648898255, 241392633, 1113720, 905283694, 559844998, 272094024, 734328486, 188910214, 563835739, 337776564, 446607577, 493873526, 227864556, 871081261, 654347423, 446513361, 611383372, 459240535, 160431001, 231124459, 941308378, 67690495, 328193053, 281672013, 22206639, 957646372, 752437488, 617674345, 188070410, 940710351, 639551016, 984915811, 180188020, 313171538, 488180930, 887839533, 882228438, 562540406, 532304800, 526631259, 199396620, 888925226, 74489323, 453351465, 947411300, 788564203, 840687243, 51253137, 944182383, 323664159, 175399870, 125549825, 276196386, 544373155, 705403798, 322167113, 73082, 109252886, 719006514, 541315191, 516518781, 155873634, 443035733, 867524142, 183344163, 718253009, 240127773, 667416016, 950891200, 698492329, 666445631, 653196047, 506845481, 705054333, 465723740, 770146624, 152049796, 940243019, 110322032, 952172457, 987628161, 337310716, 2122874, 672925316, 736991198, 611116165, 745810664, 953394515, 238095528, 671319513, 129742674, 159326003, 293819073, 257185290, 684470299, 313732565, 420077798, 455520364, 483580307, 920787938, 45498430, 720216354, 143934963, 965257030, 854515136, 201754485, 319215167, 882710377, 952067054, 735997232, 51121482, 522966021, 385394847, 842815890, 516638894, 277628157, 785970042, 579547568, 800399524, 360043058, 221773747, 132955765, 164743300, 290596823, 734001533, 39487451, 597318901, 41322123, 32770386, 998173637, 828741308, 233082254, 271609464, 566269358, 290222267, 229714795, 637918410, 697028384, 976809100, 625082790, 185417212, 560443453, 338637098, 848013038, 303892301, 999044609, 335534195, 700741370, 948263319, 558955995, 815310390, 720641834, 720199038, 35192372, 553844147, 571871329, 740106835, 56279522, 155130106, 28355311, 667766615, 302110574, 607531371, 348202759, 28153049, 258040098, 597236980, 892348000, 73127641, 604235512, 36439253, 686069722, 37673850, 776902894, 228897428, 523215026, 435493636, 370958227, 678470443, 534592547, 419300099, 614230853, 145812527, 752910039, 345687844, 33945602, 845994740, 718317511, 395537594, 513277302, 131824308, 181223449, 225660100, 862532956, 779694590, 124676145, 657555548, 514377047, 740287209, 516501672, 341946560, 537495966, 78259785, 371536142, 359274132, 151062832, 768494887, 67443270, 472199249, 148937622, 543409903, 483079474, 722594099, 877237931, 220789635, 644224022, 923337533, 845377124, 287126024, 564135750, 622864905, 86901598, 518806202, 39568124, 835578564, 386263819, 863208844, 479577616, 267345079, 456977289, 373548102, 9349275, 700128232, 64867943, 840363993, 773106100, 486368129, 790973117, 166056743, 712053907, 60617201, 650720066, 80735909, 183486488, 511277826, 186743662, 500557022, 577208194, 272661751, 778560138, 253806232, 102478312, 332953516, 194226963, 366841568, 380456344, 812294104, 765258082, 119968256, 779454367, 28916191, 265876041, 684815589, 66081806, 721340536, 924815994, 155313968, 650221673, 619694263, 159848594, 328300755, 934197039, 792458056, 290622615, 58831436, 717608066, 130188335, 603710009, 731776980, 204451494, 606842610, 280810714, 567802217, 844169825, 597836602, 83004783, 950793744, 876823889, 324563832, 551375853, 779470571, 909969171, 707591803, 898997241, 33452772, 499626838, 8844973, 869890759, 779803414, 648691559, 765973682, 315643128, 221328971, 311823643, 790270835, 176204155, 553094134, 458230773, 481716477, 341419295, 933415311, 828985444, 732945258, 567677708, 877688254, 243113686, 961534503, 601017727, 250577348, 803946132, 620318594, 984107353, 979413122, 261743691, 117567182, 331338037, 977214155, 328372228, 162344702, 455285117, 6860340, 553136275, 896843127, 585823598, 670984387, 821267475, 652726919, 647888977, 633776261, 37160358, 321204169, 720173067, 537167637, 414491555, 141906925, 741113291, 780287347, 954339076, 42364810, 968897074, 345383775, 196296909, 488043309, 880366669, 651576777, 435315435, 975494115, 639521813, 647459257, 412537298, 13505783, 74802694, 514631987, 957529938, 166483659, 171457274, 982516182, 619841584, 961984203, 253058234, 55147038, 967290933, 598653393, 49249287, 714691832, 633659711, 175441846, 668740102, 391531889, 872260053, 143540086, 437242799, 759336832, 835185940, 492424387, 58838124, 34169997, 38650138, 335497990, 686027410, 340082218, 729259404, 85167036, 704677792, 715863273, 5379784, 736539120, 21837290, 500947688, 568680404, 18649062, 353165769, 743281846, 329790609, 803022825, 106323560, 939790055, 855118932, 395247380, 710215084, 671835621, 707495924, 954616224, 145382418, 309782559, 380021233, 570022296, 740358204, 832340771, 579888834, 142792920, 589092762, 689187508, 504758140, 300552837, 133555385, 842785059, 639107222, 837323793, 263810491, 195810803, 821647624, 426378577, 699223550, 689003199, 656249640, 929574682, 87549840, 696460103, 889202159, 775939967, 896540159, 116563655, 216835057, 162099264, 675770938, 77234716, 451158789, 563555059, 639340466, 936996486, 160390920, 198452932, 11038333, 279077222, 366041130, 93308031, 561604254, 813866084, 939061355, 673503323, 169067299, 125707721, 28174435, 399197699, 678389024, 441997489, 419945054, 882171674, 354712320, 152304180, 732244574, 200146818, 218794429, 241978804, 410513720, 228877864, 167640672, 187451390, 399603526, 70020303, 176513943, 367739406, 163114736, 298677807, 609378713, 22487780, 354514935, 547428836, 35613962, 454339127, 494023427, 524108015, 565770256, 15939085, 28990761, 675966, 108936604, 958223018, 851997590, 682696332, 156189253, 281446565, 201939306, 302523879, 368600640, 794114046, 10011188, 245407482, 552736200, 519434087, 320195289, 783119685, 873325425, 247461467, 289913835, 954404293, 745804436, 350678315, 463521194, 576768293, 577275038, 969797140, 385197568, 4453837, 337394214, 764253889, 495945328, 362826645, 908362492, 710787106, 654436238, 12228836, 950450515, 656446180, 122144614, 667684938, 968354333, 680755237, 509080470, 196181123, 276902870, 594732571, 984547746, 453341453, 962600924, 718494878, 109028389, 843373674, 709694653, 364692641, 336546855, 342293435, 581272676, 781212038, 77385414, 844730252, 949300304, 696328887, 794183512, 59302651, 136851735, 331528308, 480288297, 668491931, 441318910, 264391635, 375415256, 659972923, 256529279, 561805913, 682905248, 969226309, 392237220, 378596482, 601302704, 179872567, 261197532, 688886620, 196342349, 63579702, 906141476, 900401622, 132665497, 267899516, 96039340, 472080731, 749859703, 860109195, 384106975, 831311528, 307315446, 95858417, 798244728, 226045537, 943911566, 769617560, 977665238, 135579293, 828948207, 510681499, 625275971, 68127783, 940618113, 876263403, 456468793, 939988553, 593944374, 761203847, 791926862, 241901930, 271111793, 641809141, 560035831, 406965522, 682281115, 409427272, 550790902, 849628222, 959503013, 131164739, 253912116, 820154388, 145116559, 704236450, 94652228, 892822914, 734825559, 255292494, 731935773, 84624086, 363901594, 916807666, 896295469, 796983581, 188133361, 325126133, 306834182, 737051508, 349490488, 907463069, 792309590, 862097218, 547824147, 50527423, 552469419, 129186640, 432893930, 704277729, 139564637, 927343431, 775883947, 60661774, 906931062, 441855316, 546876848, 742733234, 882463833, 999218664, 390767066, 879062833, 347196037, 904571972, 202518812, 924792524, 913103774, 433216228, 231516884, 110931814, 204767186, 892020301, 758498003, 55632240, 852626194, 853208641, 39201337, 796591584, 788632600, 815499432, 981290889, 43954371, 587594948, 770181213, 235788939, 843711087, 237226942, 666737944, 94412029, 603393417, 652172729, 559300265, 207410178, 58695385, 407605841, 858452849, 798941281, 757273232, 863487460, 787288378, 659887735, 742526642, 202003257, 378793867, 85464143, 772799246, 422553219, 573341602, 479946375, 695467144, 592803960, 204900362, 357149545, 411780601, 460015373, 46177022, 810443724, 4998103, 849888747, 168690068, 807520421, 171341175, 390408419, 837402058, 96470358, 644921218, 616492482, 396748270, 460562573, 84686751, 516775039, 359195286, 437074236, 385430819, 199471215, 565683707, 890472090, 239676516, 348591199, 251220598, 59754611, 106711362, 433166386, 139950191, 685355789, 965423068, 753063559, 352431649, 357175377, 778150449, 608294897, 143969024, 870055442, 504505470, 247977459, 285118569, 639750206, 657535213, 129015953, 67320789, 748963577, 931759266, 579707749, 735872711, 256093077, 575383146, 727208984, 97087993, 266117315, 672173920, 721198879, 680053140, 784775260, 394836836, 51237261, 869519151, 534873320, 505798032, 70184179, 920885931, 138718091, 935138104, 64225916, 73657433, 17554304, 791798442, 14707325, 572153957, 441576886, 95420858, 601842546, 485861636, 843971544, 849396962, 729506776, 138700555, 831196616, 788578208, 947957916, 346652400, 993829964, 953057948, 493175676, 256190744, 688454369, 849398004, 71861147, 900422978, 849333005, 831503155, 454906122, 994345876, 992758758, 45374321, 564416840, 442153328, 745751603, 300979271, 57774193, 887695041, 766121248, 178679156, 501292817, 333625589, 658978505, 370603314, 255397765, 274270154, 368842703, 515681402, 498556003, 257347027, 668949872, 879921221, 208621658, 654651245, 649848072, 472732771, 201061534, 436739422, 301068100, 782765014, 686269160, 635093404, 857519413, 401924617, 550387690, 334378784, 525295474, 25948021, 552728773, 521777225, 934866256, 153451934, 211065657, 168820683, 394652294, 512638707, 68905478, 536143599, 877958269, 935582786, 504060141, 340358382, 555478512, 221375451, 864211794, 345730522, 385228539, 73838715, 794136318, 479570483, 160133441, 750198643, 37063576, 135719724, 513636614, 476173229, 599783681, 45660220, 974156231, 508910135, 815742270, 529643223, 332651916, 853220478, 448484874, 552250318, 334941100, 712397461, 309729375, 523068161, 850764689, 794087837, 651854732, 485082547, 214224545, 661273051, 580813188, 574042496, 993241373, 591440418, 456533555, 385100150, 874318066, 643792474, 242075776, 102660884, 797703766, 839523159, 294682614, 652844107, 232709449, 321268731, 496894840, 21991314, 318705898, 141375591, 124309995, 957825245, 424932418, 193977154, 20732419, 800736195, 128943605, 649469039, 366411072, 193727350, 408963945, 570034592, 281456521, 471974484, 224620510, 355638671, 73273236, 802723431, 925788702, 826774875, 533853327, 227555857, 961275778, 951832413, 901421971, 544099966, 540983783, 391620533, 257475744, 994543572, 61582749, 981044414, 117314833, 222362142, 75598939, 502511852, 770805727, 931285479, 724055455, 308403531, 164221563, 57855964, 437725114, 141064199, 786152392, 461216043, 728451253, 971910866, 729824082, 305917575, 767807271, 182712996, 362581653, 758162553, 650031362, 993650256, 269349581, 642299280, 380152479, 273112546, 620883381, 180406508, 394336999, 173960662, 990874306, 417589107, 932088011, 585627299, 723213559, 103335868, 522320198, 439026761, 159841539, 971261321, 427604108, 713981145, 700113156, 655705799, 402643841, 458898955, 115863006, 258098856, 387046647, 292526576, 292025798, 219485186, 502146940, 413593091, 248743336, 63381455, 57746196, 916614017, 328447741, 373035506, 503531631, 46902466, 18488179, 255826181, 630007726, 371712011, 670915511, 483391191, 16098305, 439262622, 65883633, 195950252, 389960392, 744939546, 521697715, 993543313, 618896876, 217579697, 794416823, 795043445, 576780954, 340439630, 259732044, 689064235, 613528794, 323885169, 536188469, 607648997, 752127874, 724872515, 653630031, 670933602, 30038067, 603781647, 231999045, 982139237, 827262455, 399202390, 249451210, 768358106, 252142702, 187910318, 856458271, 586308429, 501559943, 862727520, 105868172, 475099564, 413414332, 76559668, 348707716, 534257277, 932272110, 927209874, 240442031, 844689251, 588897811, 607854439, 565482524, 970439685, 14774155, 962874912, 568767320, 198285363, 830844131, 435629888, 711547957, 809562685, 33902507, 311162592, 111235200, 27029480, 50101687, 171692189, 759367125, 859710193, 269912015, 241500588, 295267549, 737764433, 598659092, 373101780, 993054350, 667068800, 288211915, 939779167, 825257091, 200140191, 710827886, 126002153, 48299132, 667572331, 771312046, 487849659, 763639019, 989099084, 192419063, 331175045, 399479298, 347860457, 780027420, 883108357, 722251242, 854085129, 926352119, 858226544, 945784468, 93640950, 21582141, 271672477, 130639094, 845434739, 896636845, 226192907, 509995429, 517116109, 30534644, 452612264, 491872459, 481750868, 154005272, 174810002, 78343286, 836965177, 717878295, 209914299, 771376396, 587363625, 19629475, 834194252, 775877013, 84703971, 757745999, 656653263, 830147872, 786385888, 742037812, 632870462, 429539192, 19721526, 792936592, 124913830, 366304124, 303652978, 39479117, 708999396, 540486612, 677023529, 139414087, 687370347, 439051260, 322198716, 795155349, 495140016, 545679751, 715844493, 898967914, 953812843, 964374146, 796754548, 223533222, 836900317, 177890438, 470904957, 22812032, 685406949, 298995309, 584235407, 662690924, 377134769, 821220798, 709110485, 861414494, 253098874, 407322935, 913995520, 945081793, 128913923, 515911708, 110929745, 85567669, 905706543, 969884808, 55650951, 406248797, 872994309, 335672315, 389289726, 548800171, 100265421, 897085779, 423942871, 17033924, 801821408, 231137169, 814621133, 606411059, 389003024, 266843536, 590861206, 645028699, 883908064, 68254637, 174725051, 549066205, 184870169, 794928408, 332263122, 835437140, 584326212, 126150821, 786069224, 18054001, 946143754, 583359531, 309909369, 148241648, 672771710, 984978423, 183139644, 220648948, 711860564, 639507861, 988168375, 655328654, 723192081, 856234001, 225657874, 416932069, 408856552, 323186070, 148611545, 190440093, 22822661, 499565480, 823445580, 20432976, 879388250, 648225967, 179300955, 115180248, 341648981, 230389453, 383723097, 584726049, 298168678, 182197077, 320184470, 399510789, 514820618, 886640983, 445934109, 721423184, 769225495, 439972079, 445793201, 938367920, 484590540, 910326390, 150788460, 529913185, 927776235, 138576642, 471264914, 501101146, 474411004, 897407936, 437252502, 377612464, 451470763, 416482801, 510185721, 428906062, 201192675, 889892421, 218565480, 509083180, 251008259, 595465945, 240348143, 492772579, 902429440, 368533515, 436082982, 10772773, 297155571, 214966812, 122506792, 945566685, 855862239, 890434028, 259219731, 3121148, 997383103, 189117447, 712572901, 757718296, 12636393, 918963182, 8991490, 520702503, 938559462, 741942020, 548695132, 740709088, 214890626, 204171199, 571831745, 445774103, 431013474, 791557538, 918672570, 538272442, 710695519, 590912697, 823036267, 939479895, 397237871, 61321892, 19273675, 584404641, 300505567, 461846287, 128898737, 227333678, 751868761, 834113785, 563607231, 607878072, 612493536, 924884692, 937603456, 293070111, 435612004, 312615589, 772083543, 893318033, 79560794, 247178381, 756710277, 814685082, 764949834, 680544175, 851179595, 308209256, 758027394, 880870878, 974184459, 866560176, 930144485, 508422105, 173435669, 947985048, 469092307, 881763363, 39938678, 494941081, 395221711, 816340373, 951157388, 912218757, 348537262, 505843153, 435818353, 652817791, 733033378, 956140759, 985451786, 667411621, 895208710, 465169766, 454400079, 978586020, 68752661, 601134189, 115979080, 499203155, 287956828, 949970329, 612155370, 440467938, 916528907, 75693095, 878078798, 368129265, 636648356, 655755239, 122393776, 715642934, 477649616, 667073150, 435904554, 795806862, 548786062, 57081765, 692663819, 187205878, 32291245, 154042234, 70745720, 277786182, 129193854, 451128157, 206958992, 333316630, 372848943, 275575500, 341699386, 120751631, 704502060, 778929770, 363482856, 867070234, 103558099, 465185707, 702565980, 25323306, 851494448, 525906472, 416009705, 298848131, 588452532, 663738440, 297677459, 162757732, 89729989, 479356327, 924785, 398304201, 787625182, 842548036, 598227226, 993281678, 695789684, 710790865, 376809755, 641895152, 87585884, 487676489, 259129684, 45901412, 381051003, 235875814, 54082278, 106191202, 345207702, 823284450, 128073997, 609153669, 855169689, 26957210, 381104156, 391395786, 742083711, 551325829, 503886461, 877898800, 329225464, 582476815, 908240110, 724394706, 650067972, 193936806, 168468738, 126914850, 327283981, 694756582, 656766795, 718055685, 99163215, 853644871, 567625250, 610927461, 174038540, 4284302, 65319, 530805149, 401663605, 432355937, 71780558, 750694303, 137647437, 472577239, 58346470, 217350257, 437661780, 590472677, 319838450, 305641879, 436611477, 80111207, 486655307, 328413353, 675028849, 463213405, 389821695, 285479991, 150451804, 878222479, 133681518, 392478983, 480486156, 121858385, 495207158, 664182078, 939519108, 308067041, 13250886, 902646495, 269267823, 566665409, 628875001, 724915906, 209349110, 240257554, 984220446, 201478021, 597560921, 495654541, 577983012, 517426380, 722604550, 468856779, 574864522, 593805433, 581997475, 944918407, 851783026, 806849726, 870647730, 844626496, 532729254, 509795690, 908872837, 628915297, 947981255, 715189592, 25024446, 947271100, 147592944, 750871572, 792070665, 642664333, 461918765, 275265522, 496660941, 870170620, 830056888, 957045141, 199406422, 439810, 661449997, 946385970, 697180259, 579412060, 432265979, 157200988, 217658740, 920116793, 800963342, 544976828, 211297501, 930459883, 103855624, 903616798, 22078694, 20340421, 911670400, 818293035, 550815446, 636705791, 431370700, 185367277, 943729250, 161518389, 10772915, 445300177, 278435807, 827037228, 852177914, 675400928, 631934363, 180305796, 355172345, 740342098, 722583253, 84278726, 140351160, 291827515, 934221305, 62121420, 839099627, 57241306, 679437605, 989882225, 586487879, 863769484, 377447155, 270805843, 432530129, 286875949, 539854661, 903850367, 964154446, 132140398, 724587744, 900545538, 699244153, 389827555, 603213113, 561883833, 771620912, 959713188, 293455975, 942132154, 36209312, 759689209, 90292570, 5369608, 608787776, 402389053, 804671494, 261774931, 777244648, 161671645, 682005787, 218922866, 145595999, 632822722, 615076111, 60400606, 911602783, 635937728, 200268167, 599948160, 557236153, 636346631, 212054887, 850428787, 209859369, 285152629, 326972526, 776096752, 762318504, 543239774, 797644565, 31931619, 780171322, 314190531, 649913886, 158003871, 119289108, 57743499, 567747755, 177021052, 964664454, 15337497, 38335945, 290274962, 408221971, 401159767, 42356248, 576839203, 695251614, 283466976, 21918427, 517665424, 191087239, 262442568, 686310757, 84821890, 704278945, 206994502, 474855578, 603556078, 137422463, 439711342, 171935307, 367785377, 180118194, 615875182, 622246939, 855842587, 455100332, 548318194, 532225442, 356797278, 834057765, 295707356, 550228800, 498181386, 646336409, 305430721, 675651217, 721449310, 41832220, 237258260, 939231333, 764568827, 423837891, 909415557, 850553884, 435511584, 332879618, 738842919, 89390230, 780301793, 960497416, 82382273, 833966810, 572387150, 937779769, 148054255, 745661192, 536268224, 872681147, 911240413, 261928940, 168104360, 95545580, 277589796, 608026861, 459541118, 65499425, 932149248, 142452129, 287248164, 797279738, 264022503, 892300745, 775167820, 398179949, 862392042, 812950043, 997322129, 571576688, 238503647, 296930185, 557000198, 156390660, 48064481, 67498011, 854695491, 254333474, 223113449, 507104026, 578748604, 291433868, 248644793, 846318317, 416992242, 293259346, 931964890, 587768104, 968452454, 890431358, 244500783, 857480349, 636473480, 857487651, 240436211, 817540386, 226294936, 839009922, 387608153, 913141918, 284272695, 959573613, 701903432, 968263196, 765172834, 481013306, 18596511, 267211980, 253658514, 91770029, 306763949, 874789850, 588175056, 744980046, 947098563, 274203804, 721782303, 755168674, 847155342, 118083735, 998878592, 17845493, 842821869, 262485037, 3657268, 667005487, 190949753, 130914712, 79401350, 626630350, 987047200, 814336045, 364844008, 101713611, 211623574, 555120974, 682625425, 904095890, 814251438, 591227555, 52517350, 134973753, 949023865, 230297159, 997072075, 872605135, 168771176, 167263325, 21982170, 688778198, 498981905, 641642436, 805547581, 217994858, 564477198, 88713771, 309482707, 386631739, 720010748, 505756282, 587500386, 988549425, 366363542, 831471546, 582202991, 652710605, 182800603, 352097976, 631427435, 915687347, 779368105, 26209886, 45274527, 615977557, 158224408, 438503606, 342988222, 524649749, 752687841, 109561910, 380593793, 536911176, 504335824, 90114726, 901528492, 796006591, 992460360, 680171937, 8642927, 277686363, 941526576, 718808719, 794699082, 64104580, 127184947, 435809784, 521280119, 101978205, 165922814, 888778997, 867578948, 529543072, 730497338, 129790029, 25957923, 437972614, 594221529, 10944832, 362323070, 571978362, 347787857, 771581340, 786664295, 850667343, 597329689, 355554290, 741603187, 796593227, 334353690, 391949062, 478255934, 261182841, 238652137, 552096208, 175373804, 692125305, 849229358, 509588252, 757033312, 644027411, 253654659, 45066607, 506235806, 831303395, 720839041, 190785570, 778043328, 433579540, 996180198, 356501579, 939713884, 318771557, 252582353, 176507676, 38790592, 263518135, 797483898, 132914812, 874915547, 991778086, 686346732, 839252507, 79431229, 299513911, 958919041, 922542202, 844830532, 817556712, 94340424, 940217018, 581907938, 771757665, 771759809, 717759565, 462159149, 949197779, 484091814, 706157092, 390183738, 633076378, 183638551, 236272850, 696002465, 252781297, 498824874, 442612254, 582836756, 678863848, 723200825, 197666694, 639204822, 685775809, 645410302, 374438384, 439577407, 164093305, 531214485, 585336486, 815064550, 931466452, 6303388, 199037835, 462906037, 521473211, 756060285, 29136342, 634559377, 699369959, 60813892, 406824645, 216742186, 611547407, 890820082, 714078741, 168648991, 538167279, 529353376, 112000705, 867290946, 669604151, 862358600, 685439392, 790821035, 543169541, 921339819, 916238069, 712135248, 244840014, 997444331, 722073300, 426358056, 296912170, 163693130, 748983299, 747888429, 923248622, 357161877, 146954839, 2764540, 880829910, 937594915, 513421923, 314754196, 184695180, 705415822, 145786376, 584274722, 760437914, 914348281, 282025625, 284861532, 160559352, 154909831, 71642307, 36851642, 930960391, 468072531, 708236180, 523682292, 612834533, 397702410, 240277097, 156684868, 640072772, 289027168, 639057227, 873097294, 624990159, 854145512, 435589492, 872588194, 534252487, 828679833, 780481647, 70637590, 402613358, 929324463, 49856650, 66578754, 733548133, 812641041, 282652924, 306119943, 337693988, 967431260, 574586795, 708883222, 613270197, 154118607, 416464848, 462305853, 14455328, 64299396, 854297929, 722307974, 741382207, 557030286, 972264717, 346447029, 822797021, 335292761, 359239206, 476836151, 199307137, 802552699, 529389802, 40705378, 279909599, 637992772, 939602696, 766789648, 413518763, 305052414, 898913355, 176703396, 67986608, 757167538, 975859929, 496172257, 87069582, 692892574, 90077206, 175333088, 287035373, 914335128, 187795724, 638335285, 797479256, 278588495, 187430124, 675728537, 634055760, 768279964, 286007065, 793199096, 712218870, 315395332, 127653478, 197723401, 729233007, 908741410, 827391220, 517760150, 497837169, 522181433, 196468998, 58820522, 675527092, 642487545, 880391688, 298431012, 603061648, 395910974, 891719282, 813936204, 297246437, 663533740, 724986921, 274601706, 802085817, 145004196, 640530688, 741144904, 87395571, 636437574, 971505958, 908368542, 668592554, 852804503, 776686583, 841021708, 987291399, 187339405, 10477533, 997728565, 197281302, 390942001, 15357400, 524396887, 223847134, 763550155, 216884853, 791310388, 572841234, 195223265, 970333876, 953555200, 23661116, 548992695, 11420769, 499207930, 959785370, 701909607, 896506799, 888435592, 272073812, 337621080, 373834359, 213280551, 952036878, 259716567, 178658863, 218553987, 288578098, 529682630, 801937700, 957420350, 624220675, 284719882, 848116046, 129314313, 978095507, 992914664, 861744483, 571760665, 98501359, 864590394, 378462076, 703217121, 931584924, 969529365, 461582946, 547990610, 802057707, 435923215, 430013472, 696117132, 421398304, 386358332, 594558483, 557976187, 388999821, 36588433, 716579440, 850467310, 751006761, 857974993, 462148049, 640304510, 14806628, 511149350, 134095703, 91098208, 245729141, 571061761, 357915926, 772389283, 836004959, 886079217, 895467423, 816481391, 733914572, 737201584, 303019881, 171206635, 239531484, 277628307, 864908442, 970018667, 394712424, 487521180, 587739206, 538246304, 975026208, 971793410, 385330169, 105465470, 432680102, 665757368, 329509654, 244310653, 756378309, 423568488, 793648151, 647472026, 549693935, 239652687, 355367952, 620024835, 128834307, 327926998, 123259435, 22677623, 328799045, 174640706, 485026527, 390884909, 877592372, 492863467, 547857513, 540588022, 581591735, 834387376, 657937816, 458520168, 360537616, 391283416, 778531388, 581446206, 536338246, 977181206, 436803484, 214943570, 145652381, 766289855, 656652966, 3613295, 468108480, 419741547, 883224441, 612829924, 972081104, 347931761, 39148008, 856814869, 891561034, 869539619, 309155072, 859423504, 990231125, 621844969, 841800137, 786762325, 883479353, 813065999, 92726630, 257226324, 902615578, 348261780, 794272293, 150986987, 307064294, 10643687, 75104208, 60948843, 188394381, 859108793, 796554273, 491183521, 315962546, 896190199, 698900148, 293664036, 385428892, 462868967, 900065902, 204075442, 698550611, 173475737, 683897762, 147900133, 585781922, 469355064, 943447783, 567384662, 813627785, 78879951, 742334771, 899984358, 588155940, 920456021, 778498864, 363186127, 190272684, 703670819, 628457422, 822245606, 732431291, 315036459, 221062336, 397221611, 225287120, 66523752, 108836931, 677208159, 134256630, 881239899, 890611974, 205418486, 843493213, 491299204, 463460621, 516621405, 109499996, 88647917, 742975401, 479968985, 157918752, 755746626, 322806058, 925938266, 950492858, 138866001, 594132446, 330264088, 154014079, 139875080, 722952756, 240909420, 751837772, 512562406, 194386053, 864232815, 948407570, 818419175, 2206255, 492841276, 747703923, 41417212, 696538591, 233744548, 313378063, 348170117, 526035301, 19546255, 641301114, 447694180, 748620684, 303825886, 337182923, 220021200, 553103182, 606666420, 966991734, 871485851, 959166114, 47175392, 60813862, 394179811, 924538083, 809829539, 946472271, 800409805, 390228801, 190355306, 650490817, 640253617, 829628831, 118684483, 392589620, 916329535, 761761304, 751432509, 876414685, 900990432, 650994812, 552409789, 837758882, 281566026, 376237118, 737360456, 571852725, 653756555, 892289651, 863022151, 292696126, 509716658, 491571681, 812779464, 535811188, 449539393, 185841894, 353939136, 426396645, 64350744, 324676552, 948753710, 44454015, 179610892, 908814548, 897913796, 284242296, 317149607, 360127567, 572741500, 635260558, 10689358, 606281229, 980952456, 382101194, 10974366, 99436639, 694327764, 830097302, 921007707, 148889839, 768170911, 464195444, 409533053, 214613262, 414651219, 668372833, 948576074, 336639452, 948841293, 253533551, 744398774, 661625774, 263128538, 445732475, 699051449, 999065265, 863737064, 708285580, 727910263, 693434863, 324403711, 314960258, 874904816, 464655656, 42728788, 944554178, 935760521, 32682942, 226524216, 321534052, 219969575, 63871806, 423692101, 814392677, 832777748, 393386520, 331897039, 247381899, 911275566, 604450913, 933332327, 460048858, 415883190, 38216994, 182653754, 967368374, 382694521, 952046023, 578243781, 260989550, 59824283, 520852935, 596329913, 516516819, 458014931, 614663587, 122147473, 581912905, 953338545, 542975098, 50144972, 613098606, 11099411, 102321457, 954516357, 901440493, 386955984, 896856103, 897144933, 72367860, 233788363, 691106393, 583514274, 369587732, 360878776, 172839038, 264347251, 604888371, 923415436, 838472103, 237705395, 777880386, 316428279, 99392509, 908353262, 245224607, 539801735, 596842274, 83408729, 459643218, 7518940, 944950129, 175926323, 74152010, 81306648, 275173038, 800512710, 973241498, 265703490, 690495786, 135079119, 758281994, 249951250, 284185889, 241835586, 56401782, 109706133, 730562988, 867729337, 373759362, 607928385, 343580231, 427549760, 123308699, 35921612, 689132609, 771774015, 906968430, 32892923, 713281698, 412682059, 646782876, 841064387, 605295209, 543783500, 625369761, 205519227, 822380188, 206632568, 251012971, 745695747, 196300166, 892841365, 78773177, 985566260, 969318175, 683316655, 837068473, 791072210, 243678148, 140865842, 72660718, 881380838, 538063396, 37493481, 509851565, 20418379, 526479005, 732037785, 477430234, 527605318, 73146344, 625319593, 160562077, 741527942, 905030870, 41470686, 754526713, 559130300, 753095530, 631801599, 369037368, 520298555, 711950448, 954644154, 707617184, 358505846, 219872100, 524866216, 998245296, 718108439, 324623640, 406072672, 272238275, 842032162, 892682221, 967762635, 915257425, 718891842, 137337068, 981028853, 24852099, 518644157, 416154501, 975145192, 882970034, 762967064, 452960453, 714077274, 368515991, 92093515, 883582495, 350022345, 972127967, 897691824, 862484418, 50453860, 765972770, 776675487, 220297344, 719230475, 734906146, 466730578, 109036935, 488160229, 275997032, 510766425, 986955570, 629087520, 994511487, 465628615, 227215044, 384890636, 532943426, 887125852, 305364822, 923931376, 478140246, 642843524, 120444978, 16297668, 476969862, 699673778, 245863129, 24104075, 88520521, 604658106, 388678943, 202922461, 399924948, 557217325, 676758005, 579574710, 523624253, 681361313, 510323340, 149758874, 769648490, 826092815, 350926880, 653845897, 797882992, 86289504, 773885190, 628166051, 427387195, 922773884, 880031469, 845125135, 504637386, 935210436, 545431825, 885413394, 830118372, 707295076, 343590766, 892308268, 432359632, 307563805, 846043970, 676220080, 721974176, 922163550, 377672348, 74153659, 487575882, 208818326, 808095633, 617221221, 96566640, 662946818, 113513815, 322351567, 784207463, 26105831, 285536221, 768212505, 469063978, 965662275, 271136411, 349917103, 922504437, 446740386, 870766859, 956130225, 456780899, 243731664, 938994497, 676045953, 411520052, 829672919, 395089552, 856226046, 826369624, 574373992, 629891191, 387571669, 646489575, 715345105, 449696863, 483240107, 920528911, 611976389, 385374334, 208293094, 938905158, 891445399, 492129556, 233007161, 311429379, 909581302, 672164598, 859378737, 30992520, 546715355, 859716820, 581253696, 119594751, 383655730, 806115305, 749163130, 11762412, 900573967, 546536418, 365537555, 716526815, 687736965, 552330389, 419599286, 549545254, 813944411, 179530342, 919337293, 326991489, 470628052, 360418541, 46906385, 623808890, 26896809, 741082390, 898124611, 874694677, 655784677, 673632844, 616355535, 722182536, 396036108, 558147763, 869719621, 31478883, 302740186, 559593546, 182027168, 170526069, 321092190, 229894078, 276473519, 802462107, 457206092, 130227100, 416031942, 526334357, 254960808, 485313316, 335695413, 829228682, 624448852, 799618631, 925032177, 60571346, 691736941, 392920134, 786072370, 507077065, 55461533, 650312599, 425948203, 94203395, 458632235, 506126349, 595844681, 147750469, 883983746, 192417321, 936183015, 11332920, 28937026, 693371680, 601090828, 402763235, 898777848, 684218087, 690945025, 388328106, 304745881, 397624675, 708178649, 605686869, 347476267, 484342668, 978417341, 528680368, 704858603, 522803587, 136861028, 730925771, 716977407, 76859242, 568984343, 627528035, 779719917, 552287963, 316881380, 484533248, 695388307, 15555302, 75815421, 574623617, 551325561, 972589086, 977844304, 25512381, 147963675, 923101860, 747928698, 705434625, 370967243, 898776319, 804662616, 700012273, 321113482, 852435323, 42187589, 587657442, 98826793, 187060080, 269988812, 757757403, 580311009, 807746399, 832861236, 261299811, 792987561, 42523733, 442610343, 718900971, 205956243, 780676092, 592626476, 901578338, 81027554, 229121281, 709418994, 294482880, 891996880, 934482797, 253326983, 742269569, 935594561, 449788631, 619243419, 386424343, 905028144, 663230087, 411489300, 235136044, 175447041, 167352602, 402406855, 641401496, 110266506, 868237777, 374380092, 609676764, 16283023, 478016800, 921309087, 437653234, 102385095, 646522994, 807326463, 175007533, 400573507, 765957392, 304191435, 994055551, 843678837, 863148167, 595238244, 678189361, 442405521, 309937718, 733779000, 998566826, 325443154, 290546274, 351800101, 774087390, 56701840, 766005310, 502122825, 684003871, 167925794, 997462584, 862319921, 643190097, 184650864, 348852682, 722358725, 508969533, 371306782, 251176314, 199747211, 275778056, 995751734, 469096559, 550476241, 772986259, 437769121, 812866103, 987221926, 341575321, 200961005, 604948205, 991841651, 410016107, 522037193, 622921020, 82691733, 448218973, 568154646, 535655485, 201477910, 747352525, 779012135, 374544306, 563601984, 434265525, 61735689, 789458835, 523423607, 781895212, 222630957, 256890085, 693710608, 746943260, 458450606, 7104475, 223817220, 107805963, 663199247, 525689509, 524976494, 147877708, 92465077, 958207131, 393249732, 1416629, 496214417, 181177504, 96556729, 290552216, 842370233, 863478147, 681904269, 601108165, 431562171, 5519117, 592419675, 989890395, 736617772, 867877959, 151241851, 986289192, 266826784, 36148395, 814250670, 394756585, 53449818, 995138249, 618338735, 331304244, 637390763, 936952671, 552271467, 640116009, 578693986, 227923536, 142161513, 689612688, 738676446, 696024487, 447792995, 713990924, 13806438, 60601670, 131680549, 223164240, 25713940, 323676213, 300541350, 444171989, 494685123, 190483332, 819539286, 238252572, 168689891, 880459830, 689372635, 404625365, 812368825, 979117506, 811758124, 859398688, 164365070, 389861928, 853784875, 796898239, 854579830, 533509371, 456362017, 800713813, 331839411, 717719030, 56558840, 285863843, 553731565, 979004904, 714457462, 930877526, 833378744, 495505889, 865653138, 13272610, 678854548, 347364705, 877424009, 931050427, 275661990, 690047182, 88106953, 526194343, 488936811, 797805947, 591411026, 597965948, 648950541, 556979462, 308919992, 888412384, 127708888, 637125954, 911822154, 539639875, 760589400, 458357677, 109462271, 844068139, 86866776, 54297612, 254075278, 792078178, 187023532, 958403505, 351265885, 960887716, 961815383, 827337247, 141684456, 753876605, 873585888, 166388053, 259077160, 512185560, 11938638, 736254029, 166133128, 629868718, 530102940, 689153635, 477002487, 42891996, 302446143, 982272744, 911772595, 154075448, 750827690, 212396365, 159775328, 2454068, 763020428, 932007298, 78372699, 728232895, 279123736, 576813421, 901226220, 11602560, 512406807, 147213231, 618859702, 365823558, 477212684, 732737821, 80762275, 906569449, 344181378, 573390529, 132904059, 279450880, 384399566, 718554319, 827078868, 227304824, 177132710, 463588734, 979713829, 340157849, 535558255, 150486664, 164984455, 3395298, 475568885, 248306231, 59663944, 409138700, 565697696, 769965577, 178065708, 955870692, 27894942, 366476731, 225976070, 398774301, 193838285, 791528162, 148150573, 446256430, 984457232, 932654496, 533957739, 38137750, 978182351, 307734322, 531510193, 250746182, 412707717, 608671965, 124638047, 322631625, 954539539, 934262650, 49399905, 911185361, 262920749, 433948174, 593038688, 878188370, 819385227, 496279929, 359820546, 956546224, 494126741, 447190903, 599079182, 412883483, 891914623, 401769107, 411010004, 927006123, 995286956, 41378645, 885476137, 371163054, 428991785, 412057863, 416892742, 350767077, 322638787, 528087127, 581143976, 126877073, 609473480, 774999714, 895623269, 480397105, 990217787, 497563909, 72813886, 595902425, 99262034, 229456039, 589384461, 359464137, 548842164, 610136547, 485848908, 495762370, 783721993, 353923822, 853329517, 637203351, 757279653, 515175643, 39500963, 252765689, 247350251, 774243607, 453635659, 173558481, 906611118, 189779266, 244170175, 903438997, 665468415, 309708433, 299764295, 230902444, 646284372, 489346961, 617541621, 32218204, 253759425, 831664282, 944727796, 644135637, 508241705, 881108255, 784520693, 829934582, 461295661, 719486209, 207580084, 941352409, 40192920, 197720789, 530166516, 494339006, 640347142, 990099578, 140045112, 523119355, 882074266, 506004997, 530755404, 637303647, 431269197, 16598680, 927604905, 682114665, 684548890, 926455738, 940778855, 239174570, 518140533, 110526819, 608095728, 926108359, 892804989, 301022839, 393718292, 504625674, 394841498, 725708767, 39236550, 662165057, 574098391, 55533945, 819736167, 90749025, 126787050, 850189677, 637793204, 709608182, 514868605, 562571109, 25876680, 607987635, 76489297, 457297535, 65507381, 588688177, 927502450, 763370785, 378627173, 347453029, 322506925, 441033073, 548601236, 526159561, 329875814, 938441351, 321443306, 233384475, 680473255, 282117650, 648589980, 377834744, 116910022, 736926184, 310767695, 344876368, 692028004, 344807812, 144090870, 68316903, 439710770, 222486070, 683772093, 956263338, 205514668, 611553088, 815443796, 69769466, 95334349, 826946166, 402123977, 433392333, 826788194, 208666973, 302093695, 119456512, 585697877, 762095028, 958474411, 299167241, 440572058, 441693526, 544396024, 736891231, 405601517, 768857615, 906804296, 561898145, 968569469, 71735971, 871192656, 900316907, 129354411, 290044413, 919114788, 409569160, 832488277, 16243068, 870135071, 945656804, 443763010, 622090129, 885133162, 930184758, 466711, 742178924, 355155311, 981792982, 203993215, 807962310, 982185226, 472029684, 177130366, 17828862, 686898275, 22466159, 580023089, 705824912, 604649964, 496165221, 864735406, 373851675, 696419278, 766993306, 66346755, 294675703, 939295418, 111054455, 870326716, 196252823, 591255213, 911884301, 209579714, 758549827, 410116458, 578643507, 631413008, 752897696, 525041382, 311783514, 78719976, 29350015, 247413324, 157105505, 121616058, 464340979, 770574921, 591538945, 779853362, 140552962, 647114194, 10421307, 771830956, 734580848, 869955683, 718577726, 970920367, 908017909, 749244531, 254787565, 785516483, 869782000, 217876858, 342768248, 514884430, 793006076, 349806180, 336142619, 100809288, 169429397, 941934662, 772810071, 278016435, 48508429, 987073751, 217875297, 879511970, 422462708, 617043315, 287179242, 395521836, 151002220, 509117733, 595360406, 891204632, 41332295, 143704431, 318650746, 670619632, 512410046, 23094248, 255890922, 746638491, 126033062, 123476126, 470641294, 886013843, 567137330, 955507903, 834985735, 716191832, 258902626, 262626217, 832010979, 2243511, 425695040, 531378565, 619782389, 499607317, 712012246, 6083263, 456339794, 376891969, 458783146, 952470455, 637477413, 173703427, 846812698, 983142625, 298677959, 326967322, 560559166, 910326899, 269783537, 385704149, 514451987, 445657780, 804842105, 287336949, 557184562, 117202039, 219885529, 876671859, 927638357, 500194095, 953219677, 311369633, 574091713, 424756849, 60015699, 354602625, 157943821, 835463238, 845915027, 589796262, 885248359, 484772018, 648467139, 911607773, 985624496, 973197112, 202428315, 47191163, 446307586, 103648117, 244225272, 327188093, 940213128, 207856177, 439088688, 359491807, 349788261, 404188362, 63136545, 725989994, 179774270, 509771938, 40134806, 494219249, 310076701, 79312892, 65472975, 394785235, 263099987, 380753797, 949353994, 226640830, 353834267, 578730885, 537234713, 311719879, 766100114, 934917255, 801422628, 434959512, 510140040, 406378751, 212315157, 799560904, 158878528, 834230824, 230160649, 241769388, 73316638, 766603725, 786418430, 353704448, 769490225, 630468773, 633982785, 80462235, 786080045, 148061142, 469151977, 528065927, 919048103, 993220721, 705409904, 25424922, 484307474, 492176822, 654525856, 789200723, 962965634, 130178825, 800327576, 149925717, 699186976, 892097540, 439412832, 797746613, 879489285, 585470132, 918919896, 738735928, 923944408, 434784039, 683120483, 93223567, 341919486, 908513717, 539087832, 432531058, 203463530, 696928876, 872457813, 252267263, 226741558, 792938348, 782079425, 930681637, 569590536, 766718512, 408696446, 728896059, 760291611, 751033792, 653554795, 937503895, 943682897, 548615151, 8161960, 299476511, 385534485, 168535803, 647506572, 511596008, 348491599, 821892188, 726886062, 383588626, 94104561, 379204550, 117715106, 139105367, 139815299, 165417065, 203487044, 427050382, 551214159, 934504095, 477663389, 137088323, 808507148, 201789123, 922282096, 955132108, 131387865, 911228877, 987295584, 970795525, 321315947, 185839181, 570665485, 579391667, 880808035, 30772090, 565511630, 71097709, 937361049, 380889508, 948726556, 378113336, 203372853, 606196502, 87766627, 64136744, 196188220, 485219513, 700721100, 303916775, 696140630, 967877745, 217885803, 385590897, 513324838, 611595940, 130580879, 126141384, 499038665, 458887552, 105498389, 441273910, 134046216, 512450893, 80369351, 792783164, 715879914, 75521062, 326721187, 499063091, 124693215, 851711996, 963516869, 940833866, 491500035, 115114267, 230355297, 937708978, 860098413, 181922021, 329624157, 632145055, 405574781, 797822689, 752356710, 676540973, 583070551, 471639363, 443628730, 108228476, 819138652, 541983001, 276561980, 975646534, 869281045, 647898888, 118315254, 434633540, 956678955, 411373781, 316361169, 721490592, 322543870, 281046231, 238758013, 669165787, 386312352, 72560714, 384631017, 893959998, 579854331, 391944918, 161713961, 491574239, 696922674, 990379479, 149588845, 986174012, 939732259, 771834147, 867839118, 92351103, 228590315, 382761487, 825840454, 39352643, 550989740, 990378550, 377911617, 752798451, 772227676, 451378239, 297164816, 67622849, 609524845, 415189570, 208241046, 784407103, 824264036, 13567336, 725632326, 54096151, 77454895, 562116074, 987609844, 769772137, 593206631, 677261571, 285000032, 289113020, 213168630, 926697366, 478963405, 554278309, 972438228, 909545874, 749730988, 834953916, 772076699, 725239817, 155001124, 913515988, 666212821, 438541015, 408742736, 510973239, 119066774, 281834944, 463685691, 450937321, 912950319, 123280972, 152821959, 143131780, 595876603, 219394490, 505525527, 869529552, 370429676, 417010059, 181223564, 454097834, 1181749, 967831348, 299064078, 38439121, 534561185, 865786626, 905674030, 705801195, 260743792, 994046133, 388358173, 639900453, 302810817, 309338067, 38988431, 674812505, 624474421, 922386360, 750052311, 15562223, 811706703, 624150078, 6115738, 391143290, 357787557, 101226270, 838025427, 923931389, 92540601, 774770168, 110825807, 488008137, 165271745, 906730972, 9238196, 214978712, 829021670, 306669454, 149167712, 669643844, 648623177, 854517409, 421717093, 781070531, 197009935, 549914256, 11987666, 486044954, 901495355, 251055863, 478287395, 495995906, 463305126, 436519556, 662093244, 356916088, 708797580, 821620351, 309954370, 531420873, 189861386, 319664354, 796101118, 483340852, 817270347, 825615275, 115429373, 871717873, 855487446, 749806563, 98347125, 210058968, 329545457, 670584145, 650318783, 518786085, 464411460, 534342896, 301506788, 993386215, 895219634, 84381763, 208451709, 515987326, 951793858, 11335603, 94159693, 98254455, 84905815, 368425864, 146356705, 961492254, 747722821, 932227101, 663571805, 450105334, 438076064, 735959965, 117615025, 24489988, 571262081, 519336046, 59361850, 390613000, 1882910, 531036792, 910728780, 377376450, 298670006, 497794573, 620983738, 850715160, 904396158, 755570221, 393623193, 868995967, 529858885, 852812428, 386871762, 97703564, 760193160, 205238011, 115360648, 563739870, 238072139, 956372970, 988591018, 632658759, 113544152, 547499427, 729533811, 567636600, 849957232, 937776494, 95767261, 235447577, 235029629, 704702000, 386484507, 428473261, 662775624, 29834023, 268937877, 801618494, 69172468, 450968574, 323470116, 620162726, 59844916, 327052908, 764103716, 553941549, 958484253, 641627640, 771587749, 836160167, 289347122, 168572211, 662518555, 413495957, 780421041, 69764052, 915578129, 102823551, 854438510, 169788843, 772591873, 870666093, 244608096, 855293798, 585981856, 551280641, 559699405, 284735532, 71348811, 938890047, 59610354, 995283704, 213064249, 789846436, 667879716, 322579280, 148477665, 791286309, 328376461, 244108001, 577550604, 71214374, 671116710, 851399771, 705750601, 800687485, 668855105, 702645315, 138316801, 337231539, 421765087, 2646965, 466127102, 865766472, 413132512, 467514450, 980391176, 32951064, 999690893, 351170161, 900857721, 310629013, 369769597, 811476399, 474488413, 190045893, 165994452, 394221448, 734846438, 606223571, 965171840, 243003599, 744401306, 743309790, 36021116, 12376056, 789073097, 440579836, 292925184, 616124534, 482362576, 895383694, 163727754, 475407563, 167443215, 921867217, 344656468, 792203553, 645296896, 576087708, 258869879, 381305555, 174753973, 861298413, 487219948, 525196678, 319099227, 459745584, 925563481, 729275968, 301549343, 42119433, 262266842, 978288127, 604755331, 44824632, 844347615, 245995816, 734213416, 295634549, 12317067, 168752699, 571210850, 929657084, 195630989, 158367730, 209109355, 791508975, 51235395, 893950232, 41403402, 516294371, 203219039, 207812843, 824677895, 588477071, 203873569, 92265080, 623564722, 325934241, 96204788, 846632356, 501045910, 866849521, 984006070, 210429927, 637032033, 897755540, 638545880, 120479326, 910282864, 757220955, 534625523, 82641645, 467341011, 15953981, 485647513, 288885392, 175412920, 118831417, 794981793, 81937699, 200862613, 607095656, 879536634, 449834129, 196910421, 759714087, 692602850, 120293748, 998796535, 765092879, 806127028, 124172324, 643891881, 766010945, 954796874, 880542032, 968816307, 837175636, 480060400, 749823254, 370337457, 795188430, 296426896, 929407547, 502992878, 437575596, 850757535, 899880190, 955755502, 424555596, 397724397, 928279214, 603840476, 844244327, 297637745, 401684784, 796258063, 851678668, 347395064, 91991574, 304908571, 294739154, 461067860, 135740600, 934493969, 341665493, 899843762, 296580617, 824063128, 50782262, 859738396, 473042784, 666916276, 100245787, 950414982, 4092375, 174727576, 226392212, 544121758, 44354562, 137031002, 518339167, 864063091, 664252964, 318517040, 524110696, 8787475, 232454851, 262039474, 803053371, 653792635, 108751301, 974759855, 905176849, 529953256, 26185480, 392195875, 914356270, 570892803, 499674755, 45773589, 429664955, 822121439, 319180634, 814454434, 852709549, 554979276, 724364565, 682684317, 206510099, 418666622, 139782935, 350168529, 237394471, 603520948, 124282610, 954285566, 716714831, 341893687, 281511538, 12528208, 31926458, 480664414, 793832377, 29554841, 508959902, 877751144, 115195923, 824580311, 684744586, 519928947, 356064126, 484051551, 526657871, 27499180, 656726752, 253869247, 681392072, 459581044, 78738415, 395149943, 438036986, 630066787, 13134695, 746779719, 916562541, 320200905, 676532176, 467701427, 801481432, 378352200, 125429972, 190782146, 45635975, 223317835, 598339365, 291280067, 912641901, 126299475, 777672938, 204888762, 634906639, 549850831, 731441209, 553241933, 576897442, 987044998, 718961844, 530579231, 183461319, 83610601, 137506922, 88532257, 481184701, 283821935, 915754583, 190244087, 894264950, 748945263, 475021282, 790461523, 913113197, 654124903, 340593951, 402539229, 313040498, 535192699, 390685668, 27799661, 935318347, 933281378, 374072993, 379253978, 974143790, 741014146, 72163582, 229669448, 491059726, 352412470, 389600213, 477460057, 916656810, 493084728, 924702382, 175982552, 52367001, 167667492, 618364111, 420749467, 988024247, 802619293, 275172221, 783309874, 55318712, 323717712, 271365470, 719253837, 772781559, 121676494, 100473970, 880864722, 221641192, 598618497, 93070061, 33904378, 177136413, 744364125, 914045872, 407847825, 651368825, 497748379, 183677015, 788634188, 784812891, 292271179, 922010028, 810681286, 70078394, 909947089, 672266344, 39780096, 866201642, 191872071, 204829346, 740155838, 535930014, 958829419, 316446390, 130987448, 956066885, 542295779, 434318264, 633945380, 258570927, 871891127, 842409765, 254828335, 94208419, 143724127, 829416949, 634725165, 208721346, 618603362, 420499068, 499282937, 731289124, 716903206, 689187129, 976908526, 862069307, 154110741, 195576477, 982338926, 813901982, 35031278, 967325884, 421083267, 832412096, 916169084, 516776429, 831598131, 506607552, 920820602, 759890431, 240492130, 709221415, 286713113, 992765900, 57149169, 741392988, 532151844, 739533404, 285416044, 81191760, 358147503, 326815707, 596426085, 934597597, 298511004, 882115345, 331069788, 116497791, 700101820, 126112762, 21948647, 234419168, 563602777, 575544149, 795346528, 716860266, 208500031, 426250219, 547249506, 395761876, 890354947, 427805237, 616758761, 212696523, 834249622, 791387973, 767421384, 33681131, 298249851, 98350460, 954739937, 348736210, 80558600, 830015574, 141566338, 252660872, 937189240, 11972519, 214515822, 409096220, 954469167, 382519659, 189423731, 703031976, 673019079, 497667946, 282504480, 756198246, 81533378, 200430547, 35093750, 949358692, 794644479, 581871045, 349947208, 784345353, 233015891, 620509882, 654290489, 438383717, 478927941, 91672018, 873084850, 991058414, 88513012, 728726526, 395424153, 925772615, 264460985, 894018905, 485779829, 356332947, 464679936, 677167413, 779523679, 552356164, 774324890, 491145847, 28419849, 967343731, 661187189, 130822180, 14645912, 235832443, 926042841, 871146159, 64539097, 121070718, 307437128, 208854038, 866186858, 775828942, 893993800, 394478828, 469840309, 372445458, 767819887, 452865714, 680802885, 400285326, 76024698, 608956887, 587469953, 13247872, 982282517, 983734957, 959937356, 254298331, 466956040, 656719220, 370657337, 256910500, 621508263, 261565545, 148487563, 671413117, 492784137, 780559249, 384897808, 980642223, 517318877, 859879223, 513656151, 84484185, 922555262, 38415864, 488064893, 369431357, 918375036, 906046057, 9623338, 70787840, 441804268, 474814718, 564203404, 481536431, 802008691, 817296096, 77312750, 776312237, 156914598, 860996657, 350283304, 776316228, 7655797, 421666164, 100458098, 382193582, 379257817, 916944601, 939469887, 1456959, 119123651, 296189398, 786375803, 124278456, 301272588, 284300563, 947044541, 909214766, 710653000, 876929944, 968437527, 458133016, 482556048, 695317157, 757716019, 403294629, 961274438, 742062222, 790127838, 620844609, 614866891, 238126020, 587621429, 174144108, 329949078, 358775485, 541210370, 85799900, 852338545, 688247797, 528885461, 51880910, 617169584, 401802161, 679174488, 919579318, 327408394, 294351542, 935953278, 554517614, 3813015, 220109298, 579319674, 924250750, 428175801, 469953502, 125896854, 377203211, 959541160, 248660627, 559664518, 354945015, 667780890, 860783144, 925979438, 32481023, 798663899, 475734421, 898680391, 721184810, 264528225, 153634558, 614986965, 254999663, 172316691, 211186893, 73611667, 62267308, 820204129, 254333912, 880100249, 448387919, 434117050, 81258799, 711611279, 459349219, 954628587, 160490335, 817234550, 467485646, 581825213, 551025178, 540974055, 682032438, 899158827, 755793616, 56947907, 490977998, 589352142, 299663254, 933928423, 519398543, 838064025, 615036894, 451161817, 121718389, 356481805, 453614193, 954490169, 845525137, 81616210, 58124660, 513054042, 297972839, 299779068, 643857739, 282552838, 776361796, 262089286, 712556832, 488584687, 298047869, 676764184, 401662106, 329616553, 916303764, 976502236, 701256985, 717338088, 249129581, 696611448, 490725341, 311128419, 249205775, 421180069, 239697444, 802122072, 170438607, 437608300, 648887091, 675608063, 87109158, 583422149, 826314663, 50990538, 704081742, 714074289, 544490936, 466984224, 964059456, 421784996, 801767291, 930252818, 904618401, 533444808, 946778842, 561824464, 288633719, 222152600, 77625470, 472609652, 703507670, 220379304, 751955985, 856253845, 278290546, 329189524, 738359131, 574769868, 711170443, 851031980, 622968494, 107060124, 428321183, 383008988, 108046963, 155702247, 346796923, 425477307, 289183252, 83858516, 693108327, 338049480, 291354759, 926840637, 264331806, 247638840, 709693510, 61528290, 540471482, 600411176, 496214446, 471631529, 150618031, 26146757, 395433089, 30488383, 538040980, 188490583, 172917232, 492363139, 969414849, 877376098, 805622788, 857786302, 693553811, 454721266, 380823919, 936864664, 521417436, 817099431, 83994308, 794037729, 410387509, 415538000, 547169065, 174922433, 308760987, 800584536, 715484788, 92396494, 510453197, 466914542, 380202382, 232627891, 904021216, 392914645, 459194483, 221619536, 738861080, 465484182, 112619407, 932177943, 322219343, 996493891, 149029047, 168094788, 498564786, 387572621, 348032105, 716689041, 891765006, 785176825, 401745993, 467791237, 389426836, 669393483, 228682381, 869831738, 383777623, 516564436, 836264603, 490911319, 231280676, 532242812, 842891114, 485420862, 131845466, 752412750, 787614024, 428879296, 36724281, 650798023, 565148490, 430779543, 879868241, 705929309, 91315619, 849945863, 751934185, 887813480, 716265258, 369891931, 628224108, 731981161, 833257395, 668049480, 225286335, 229852277, 504159134, 872686830, 179997452, 512157155, 571303088, 336312895, 85488452, 62761163, 224651052, 993663680, 333462247, 134513630, 420070810, 155252560, 795545157, 657606076, 13213511, 587164424, 33672720, 42869946, 844791388, 38393002, 758911534, 445172099, 598565563, 2912290, 130478161, 765412407, 414574653, 919217810, 282853719, 400330435, 173444888, 871645025, 412502995, 153207118, 820402527, 115405257, 516951070, 40576533, 935044768, 992924440, 955570919, 659635194, 11849008, 644524476, 840479909, 6038268, 284219341, 365659998, 723999039, 623435260, 934051275, 754260566, 458048291, 872221568, 182691824, 31215432, 360710029, 413634254, 438969385, 304214637, 715802403, 882881991, 820453463, 913410412, 25350690, 290064757, 132713376, 665986753, 191175479, 990421936, 231946319, 690709282, 929079010, 238473147, 750528983, 491678603, 704267208, 996904975, 624685370, 773727037, 633674410, 127670947, 865994857, 935354569, 704544619, 748902320, 725017617, 469305965, 464871577, 245007341, 456000749, 243921110, 832487779, 731858314, 157581905, 806086790, 838756906, 792625209, 77400904, 619123997, 813340287, 95319352, 423960519, 375501275, 443182424, 561434924, 34228522, 257918834, 892553726, 817853411, 96708423, 838041044, 11698767, 934554488, 845650563, 477869568, 89180757, 838104911, 244158958, 378168357, 235354327, 975840491, 678283851, 206827798, 988189475, 913256752, 950552157, 520446674, 989827337, 941804601, 501162187, 68123887, 237274303, 792495263, 986644018, 137296193, 528772966, 901320430, 533795718, 590523934, 989135365, 184630240, 437351466, 717270996, 174770060, 387816217, 349942231, 398305247, 532968406, 610687026, 988686182, 413560228, 71210722, 561118314, 662974704, 307321905, 127311873, 140973770, 566134130, 101371515, 416511692, 972201311, 760524353, 648808917, 693308196, 942424426, 72478408, 21123753, 782686820, 775560363, 248722352, 698222891, 531064041, 833843459, 202432608, 686646068, 313352558, 631312360, 574710914, 882969952, 994842893, 282199936, 106172520, 827980900, 327820874, 19967781, 36264527, 623691481, 102581101, 453289507, 531463907, 722169713, 154937370, 505638202, 525560503, 533273062, 499216283, 143071770, 217654972, 789947860, 682664276, 792103564, 156381789, 287876115, 128017152, 595747923, 959554130, 640312418, 22652120, 976513617, 202121655, 601614498, 523061688, 165711862, 817224478, 638062292, 572229812, 71015846, 423876174, 457143249, 69109302, 483064632, 595054183, 697776098, 119447587, 104386391, 748328572, 817124090, 728328891, 946005106, 137125041, 689700710, 96364325, 839161084, 926896205, 822147869, 651577009, 161074377, 802827379, 319706037, 677389112, 155934601, 667593075, 714446594, 974735563, 713450743, 33303116, 241794912, 448556485, 784530550, 897586863, 821151668, 272129833, 447172912, 191216054, 126651671, 542743614, 211815963, 501183846, 738017866, 19604937, 502514391, 746671154, 846293207, 539573967, 786709481, 98031283, 775710818, 532147472, 189007013, 386004597, 674890311, 786576701, 429484566, 618747493, 360440275, 788818393, 909359296, 469307787, 949418679, 523870989, 656431972, 193267204, 433055332, 125313434, 802587301, 105013075, 589864472, 472322030, 432673156, 156259501, 634376262, 660464319, 109407525, 832055637, 255585342, 469849644, 781099796, 528831612, 457794331, 839365918, 501586252, 561739809, 79268546, 855962619, 352092882, 63647910, 476122092, 649642751, 228185366, 556211326, 219461134, 443882777, 293768986, 148695762, 282404945, 309226261, 265109181, 695232709, 365950269, 338719101, 84039131, 755988250, 335007221, 210668458, 411433759, 213092967, 538455438, 450814803, 341712855, 980587780, 907889067, 796923249, 485558346, 35227835, 615755893, 118302509, 226354367, 186213897, 394030218, 945229255, 797256189, 654550956, 913907289, 375358587, 825723506, 704092284, 474967210, 768909475, 326029759, 446157367, 871240791, 864489768, 34315278, 180211163, 918567848, 929989364, 456240139, 56316971, 811948329, 369246725, 121365874, 85278137, 634778135, 760374233, 968129975, 544781188, 768215872, 429796919, 927263012, 55203057, 417783040, 509828398, 293092707, 342517288, 500929136, 226332345, 170784419, 643826980, 654571103, 187786923, 275543438, 169791197, 636884170, 289063239, 492547118, 899220922, 304368987, 675622977, 58799988, 188126619, 819367499, 59734258, 115014796, 82858165, 826332855, 85751819, 724009120, 420881320, 564321918, 808140645, 556952431, 239171047, 259770322, 833465155, 633253778, 336030241, 662320109, 3221065, 475042185, 78047300, 870487772, 261710372, 639332353, 919745737, 35408777, 248590095, 549833040, 74786908, 290009215, 598063670, 877208762, 967065226, 575992209, 920274723, 879041701, 952030226, 460772433, 337498185, 457083644, 411888885, 382780817, 961889391, 987974374, 315631010, 489353618, 226883540, 366820470, 846699493, 642847099, 873902104, 471123748, 632159616, 183152407, 909924598, 544166251, 451529708, 194192174, 286731241, 854787588, 539141794, 300938201, 31963038, 700969263, 273356705, 293498539, 273914358, 722435061, 160677926, 481355490, 141771775, 768025700, 954559339, 953271571, 545713471, 828589433, 6224530, 795811226, 107174785, 897200947, 972007356, 208212359, 595229114, 34492761, 363504929, 610150362, 451152663, 409452973, 776079673, 372473959, 463090321, 398836389, 470996050, 832524921, 65450700, 168283684, 996195462, 452298840, 688156795, 32709952, 24748517, 21167942, 204081425, 679429093, 26442891, 287214782, 217680231, 873016386, 279283408, 322390232, 217045560, 722924468, 293345836, 18754427, 635567199, 789908590, 782755273, 704373123, 267156844, 131929445, 165768890, 435870174, 258738243, 570830007, 257339383, 690383364, 735971309, 668440972, 115816649, 681397934, 366206109, 106801578, 623445333, 925702482, 293328393, 506745495, 491209677, 661396433, 805858221, 729411752, 18102240, 935667426, 930089544, 100030624, 848038920, 214269147, 856730420, 860330251, 822816903, 774399033, 357633447, 63030740, 336198404, 360077845, 770230567, 13039615, 584108228, 62528494, 806993130, 535125131, 201864745, 38437338, 618320769, 628108504, 993652285, 935228346, 526559135, 99911100, 25379427, 787792215, 485008731, 536503010, 928083612, 913027844, 450946625, 562601385, 139859049, 421654676, 664766461, 671932705, 749479525, 375369202, 247437255, 101119732, 684784913, 69723127, 251759726, 819661666, 25611483, 6425277, 146668902, 169987185, 879309793, 766220456, 403014922, 437003965, 122281100, 383775935, 989356566, 386255518, 276418438, 240985552, 381363670, 188596075, 163327758, 215243089, 85191265, 555625466, 91586927, 208523340, 367563964, 331606848, 472530939, 255008366, 105595008, 240642142, 601947775, 344202156, 488390593, 97868832, 88884102, 708409400, 68344890, 206635038, 466156389, 290142786, 507351260, 162567873, 233905652, 949181437, 292311991, 92887598, 565145825, 12328234, 471378983, 84903853, 990035095, 636671971, 147700491, 863951859, 44683069, 291797555, 735061603, 682305062, 198529138, 437791035, 879637384, 100275225, 835116828, 610521686, 337051893, 389319237, 216905148, 331348139, 593625243, 919748745, 153423372, 578473788, 969188920, 886294877, 679575806, 770288304, 922166788, 676176483, 605366466, 141650162, 890687550, 643980768, 249934161, 909458790, 848329724, 302426453, 716733627, 770910080, 790052318, 281435357, 110130871, 512922063, 418277726, 420074603, 885280993, 385211309, 880250525, 973086495, 529635586, 997478945, 985474178, 50937041, 441522811, 741858179, 900589521, 163984401, 520926539, 224450969, 184923152, 383431046, 144351781, 175424179, 824025172, 873700944, 943923068, 164413477, 595684285, 411361477, 409371678, 731516776, 325409897, 173863195, 889011852, 106974074, 588575108, 306246991, 525876069, 100854231, 865998021, 421694468, 589486682, 387925890, 176933632, 381882656, 333800495, 99150795, 754470068, 521862367, 853583017, 629335097, 837262794, 493695246, 168826152, 552747557, 842333923, 10955555, 621977875, 709090405, 812325633, 509950986, 539596555, 689518276, 272658047, 116421634, 629130018, 814621969, 359751612, 962766136, 508103972, 166715451, 165304653, 680508795, 341284460, 664059955, 247574615, 519948762, 42610492, 171646825, 318794210, 795663572, 830139986, 634507675, 30772993, 513979756, 362477108, 44486925, 362339998, 975333700, 946101820, 450727207, 55890732, 28136320, 793818162, 455903476, 832442513, 411216333, 907624076, 977247839, 429522831, 877326859, 900520428, 992814663, 901045807, 733442889, 388514927, 599951793, 99558161, 629085561, 334285094, 41746752, 714099738, 361175720, 729138963, 342056075, 340260008, 853589513, 673133949, 448927161, 286331285, 791175573, 475120250, 586255968, 46459802, 187327216, 855747942, 548527795, 914317231, 136901869, 574108659, 307230967, 668948977, 317611480, 478763334, 466576070, 140358558, 678890764, 124005773, 339978604, 698457441, 981535144, 538903071, 439511035, 321941716, 207975530, 974780566, 949014583, 420904868, 360699473, 203865863, 181619968, 741724082, 151397980, 589495564, 420196724, 896655233, 37788940, 853423696, 400139342, 662358314, 344501703, 19313051, 908146088, 986763147, 907157195, 794508093, 987440237, 510750177, 227968038, 54451587, 383318704, 613424395, 356868083, 798312418, 217649715, 779214564, 180715888, 459948563, 98537255, 764559883, 244937243, 796207990, 877694465, 187680411, 86185946, 170708209, 106400297, 101758267, 780558654, 913987233, 623074015, 414695701, 274205155, 197937537, 478892300, 423593465, 741023439, 35376771, 595887615, 143377168, 627031506, 184663262, 344750727, 804285417, 973688333, 938187000, 143472812, 681075681, 176513811, 788821931, 430369487, 624488808, 449340649, 133442947, 120026367, 307409569, 15110808, 688104549, 620418540, 761310263, 324298562, 686010141, 587893031, 502399959, 827160100, 307539677, 344293292, 201063374, 86265720, 447278288, 667219218, 506586523, 581006289, 830610785, 363199539, 715011865, 355172051, 452901719, 845500332, 572349524, 233227249, 682981442, 101141797, 945585859, 759142260, 655460380, 646237978, 62014568, 542381864, 816885872, 82784420, 466213137, 407664543, 443173258, 963829475, 446854388, 944188137, 106711900, 781834988, 918145673, 842727398, 274422539, 152236406, 636243817, 124069009, 778908769, 851862522, 89514304, 504283870, 874401198, 249398585, 257973735, 881269862, 275009826, 235365588, 473670551, 30258159, 900004235, 690219360, 78287025, 916797612, 949398119, 986664378, 728627648, 188340392, 871103667, 540433963, 135888178, 968959608, 878793292, 697413502, 540662034, 120289793, 540027563, 310974804, 397773155, 758656092, 217452232, 359468994, 348696161, 242091041, 905123879, 545672593, 172430543, 398292631, 164015806, 328592482, 268815388, 469593578, 535993821, 18522775, 344783021, 722899591, 435025296, 164428945, 111029304, 611953709, 94222603, 928623888, 502628146, 541866638, 286471401, 112402837, 785896075, 180622259, 62911176, 459059139, 835737105, 630844898, 51865029, 167251013, 44729274, 637725417, 968448954, 490538625, 377479662, 781038494, 25660107, 283004427, 623705473, 44680414, 19777321, 890788622, 193709645, 272351792, 733545626, 629116475, 451374011, 599165764, 352664940, 62494127, 930521695, 434708175, 954662089, 713479269, 849848140, 413673108, 997639905, 38770391, 514070377, 559166306, 476575434, 129562129, 58433978, 747688928, 85247345, 516878220, 518268079, 454947910, 585023987, 185304275, 871149539, 994207687, 403923540, 137079792, 895505113, 531882398, 9154681, 371804183, 156694144, 762712051, 790784483, 200047014, 562603146, 39402117, 553598117, 853287858, 614680911, 929000063, 912196946, 659326934, 872596300, 108750028, 418661395, 791426798, 665665313, 38313888, 180332208, 878741756, 8118643, 530861006, 209450104, 621078342, 759178890, 294005767, 957703505, 381343304, 749198901, 535831500, 96513052, 865495569, 478889577, 826231665, 190883805, 81186632, 247807638, 468427089, 540840517, 861421380, 330943646, 957391092, 187501714, 639382606, 234906284, 978408659, 425394184, 8071744, 562127602, 592592867, 787485766, 714933642, 356568226, 7506140, 42403547, 549272538, 383149908, 327074780, 386141803, 144996770, 803134588, 766997687, 945777880, 42674510, 926367014, 373504334, 915599544, 38460597, 446445462, 792467873, 569617903, 38546781, 843922964, 635457246, 742550217, 731018534, 92117555, 673674202, 139653548, 66810205, 282113724, 315774958, 297766918, 858607934, 8504760, 206842332, 526450397, 752276360, 645974487, 99183736, 416974832, 810449471, 616582437, 669812473, 24552842, 98108049, 569386652, 246806476, 374751321, 611979279, 670461003, 703761855, 333650518, 421155558, 829199441, 614530607, 985247950, 241285062, 400761415, 934223657, 839306225, 759161635, 978247007, 770735143, 670969738, 653699922, 16664194, 442566609, 667536906, 476536969, 351853371, 185982584, 839689475, 939927980, 270006536, 132924170, 516273975, 335284117, 214627787, 97662169, 313546430, 314665095, 197551793, 680540718, 573897521, 70344387, 525706098, 827902601, 624036471, 383907933, 364991988, 630890904, 954592846, 453729640, 339496826, 538862767, 944908617, 202139603, 440539376, 467662899, 213082828, 356150121, 695309905, 88091267, 693004209, 641630206, 315622923, 651941461, 638168548, 663022326, 835338642, 699654436, 805325609, 322453894, 864187717, 717884130, 903810129, 523936908, 764116872, 904572820, 739365368, 98670736, 479056072, 568605872, 159933152, 628092432, 964121435, 971690800, 436749224, 26428634, 50718733, 617714589, 77779308, 173058146, 187694340, 904493570, 262091440, 104246361, 32415915, 362890376, 95100880, 563052197, 930563670, 220230810, 383454239, 95494752, 553042284, 883739285, 952981538, 520223399, 252374125, 528567522, 466435947, 514359509, 950061486, 446626983, 7089685, 532575016, 809167840, 75318249, 919363086, 813739209, 896314756, 36823111, 114254456, 915853945, 407758907, 143782043, 793426357, 535363257, 337797094, 454876306, 214434596, 789065420, 670971464, 213638622, 874292602, 702292668, 671688023, 690672453, 840361284, 736295080, 864147838, 501265971, 18956078, 479263395, 208228205, 370710365, 575375738, 162914563, 698072055, 512977843, 16976227, 390690955, 785716542, 1140312, 976035546, 941144837, 168644833, 901269567, 991997187, 210672986, 633230536, 553018208, 510682767, 760250034, 952132588, 377776054, 615384332, 192461022, 412503446, 257333794, 293162977, 541897873, 665777401, 665111888, 671790569, 364144796, 967421168, 512118546, 483785832, 683623789, 843443030, 948189737, 639776275, 63985105, 691713312, 805200323, 386134395, 912739240, 673166364, 110541520, 242270560, 955202082, 436227462, 277625266, 959148158, 586149252, 958576913, 235164190, 224157792, 440243691, 76621364, 12479290, 664815559, 813266023, 694483564, 722444986, 689911403, 708481260, 96192064, 892432256, 196852793, 759960740, 497734439, 122902177, 361185801, 612879452, 237985314, 257119292, 857924927, 116144304, 468818202, 618560287, 406066790, 324294636, 818173397, 408144715, 551973393, 418631114, 282270075, 944706957, 692688623, 177335195, 967050179, 13683178, 289139002, 757153818, 6191609, 316980614, 134070139, 281514265, 463841842, 461764110, 162336797, 160424569, 892466450, 937025911, 271552615, 153192150, 709055503, 992166486, 53676242, 475922941, 334821416, 408172256, 482326707, 510543603, 215409406, 136113689, 276686878, 747258617, 63128999, 513201025, 611357914, 44650280, 546177989, 900930584, 111141125, 241706621, 24069621, 2033949, 670333178, 339387875, 276895464, 219557013, 377886559, 35636058, 138684085, 977759263, 276055927, 83146771, 181466577, 586615151, 508757819, 838960644, 848897799, 987429562, 814816063, 434775108, 486805627, 901642078, 837434682, 568834165, 564085526, 441904833, 574163056, 42795809, 295861173, 65315763, 836939794, 574619030, 836081181, 883614369, 452107193, 216452633, 368084015, 65655811, 77580935, 460980448, 238808856, 125873097, 118861280, 5374756, 420768156, 975306034, 658076922, 698581433, 20305148, 921202839, 417255187, 712371769, 475753926, 607016659, 208957309, 461972270, 890146165, 310669128, 476203270, 848134778, 875165059, 269551972, 527872355, 16944336, 497556689, 338989073, 632217660, 850476997, 617793137, 145872261, 167497040, 507605611, 823572637, 951023632, 93089555, 132862169, 862981744, 433094440, 940735622, 129493824, 208324422, 136659048, 203543412, 466418025, 691690535, 405250325, 298304940, 527772023, 37125900, 149231270, 60986733, 171685200, 180023381, 907899765, 835975113, 223677287, 726731769, 964098419, 609912187, 392356318, 87427754, 101071322, 629025163, 117885245, 590708906, 328847949, 520128908, 404442726, 580388479, 911463296, 922856533, 533179046, 501365064, 353875685, 492155311, 912724262, 548039836, 842602983, 737568717, 318130294, 303274840, 992725316, 843051108, 54034634, 923979487, 705765036, 811910350, 840600724, 384252941, 166685811, 909197781, 99112191, 127799424, 742592856, 968024089, 736939479, 543322669, 48855888, 788295398, 427431347, 677555701, 923504210, 537060550, 523211122, 23985247, 586458655, 457254066, 893372943, 700152132, 739531166, 45904730, 54123127, 916042722, 851586820, 465659068, 651146116, 534482593, 260926820, 61781956, 490872389, 577487034, 690717759, 229966902, 398884109, 195886757, 255929502, 156589692, 554653070, 304979878, 299143461, 351696910, 767854318, 552596379, 184467030, 492612881, 278815150, 305206799, 105331684, 653418189, 425444827, 340857074, 281243931, 17082301, 158856171, 780445885, 211160686, 595998461, 881942570, 475933886, 241079928, 20886539, 719278216, 614395983, 648341394, 105345861, 794616121, 994205952, 627897545, 50714456, 11965472, 635051662, 905677612, 616061332, 685429660, 543742574, 84319467, 843021551, 562636008, 478239558, 680931897, 457088943, 462254530, 515157094, 863729039, 495653364, 571039049, 82166414, 531458589, 574053918, 545711741, 30922289, 584448998, 659040254, 849334987, 65042771, 782094846, 342440402, 884464429, 342285886, 579646744, 573548, 840240468, 483498672, 653327427, 909488454, 281871374, 726238845, 553011301, 40041876, 747339987, 623895369, 839263852, 739124955, 728871220, 162114481, 808463245, 603308853, 953174982, 932393623, 933011718, 733573949, 336238011, 392324076, 42984483, 205887927, 243788112, 920585637, 472842536, 399308536, 193325325, 795694951, 577035047, 31185985, 32271103, 478018371, 46235443, 161188091, 252710958, 471606155, 852988790, 856164213, 261632795, 177719305, 38338399, 402509637, 969367904, 834152735, 66694088, 546490370, 344340916, 229996729, 703345365, 271238189, 277604501, 169508644, 18697593, 589639073, 842795914, 375838048, 488071695, 356906642, 797068447, 872696346, 19640488, 39656132, 524499898, 286562376, 530138833, 529519019, 256246978, 224171753, 982741754, 454414383, 325929538, 673361040, 266768340, 708998031, 144669929, 412628731, 925184897, 145692923, 441679527, 491457425, 821293285, 682553585, 102687487, 746211770, 911746071, 446314495, 457154232, 37660008, 142541984, 745214008, 479041666, 559696863, 649801948, 263553218, 42953594, 737391787, 569498224, 964599086, 197502025, 747794014, 175506564, 903799602, 240075777, 924005182, 617410682, 365958374, 277437243, 618184396, 34732255, 271938477, 423939921, 387219346, 621680439, 580886712, 863603961, 511837627, 215987410, 175649319, 200132118, 161594754, 170496207, 171771615, 348042998, 537227810, 496357969, 488138289, 499987947, 711519082, 464232646, 334479001, 424989750, 839975949, 154638457, 151000242, 213847755, 711292058, 567393877, 965126624, 702781156, 611197870, 567112308, 216116951, 687876461, 186847750, 608520166, 700112587, 112003489, 975948010, 357297650, 747573730, 917270048, 577302003, 597468686, 463023648, 407317915, 581654034, 295641574, 670352699, 673551745, 644542313, 97137504, 105715704, 7693737, 196685331, 503375863, 678269729, 92594379, 188110722, 358741325, 562616795, 469312313, 170455130, 502918511, 895156619, 387657986, 216233607, 133908502, 59238313, 629517666, 513620799, 147090546, 578827177, 526231196, 538818330, 115071375, 857558531, 742149129, 208987557, 238588524, 775588797, 561048920, 334022514, 231341338, 964361740, 932787923, 763845565, 532658257, 809376300, 495047226, 394564424, 849976505, 32697161, 55549731, 958606132, 689295682, 942001834, 671187135, 754144122, 529984238, 924818941, 141537498, 60962682, 828858889, 920549848, 830772301, 804445022, 339107343, 627845244, 317197895, 911362864, 772952749, 543326850, 520732558, 504690170, 492071011, 500099313, 949506150, 716084397, 571456853, 407985680, 899431821, 166646875, 693431229, 53106786, 894538489, 159077133, 293224366, 204198544, 694637751, 1782490, 798981851, 904317996, 877305846, 170337790, 376369792, 300833231, 139668557, 543989833, 644479249, 622258788, 450692951, 201791495, 425666955, 964809189, 526014855, 333061178, 702838638, 627192765, 181541954, 964147496, 893024696, 282837237, 602216867, 453529401, 416565624, 899943478, 974728421, 55784462, 516269, 92364448, 981639016, 373044212, 540319200, 952305647, 523850372, 419411939, 615938190, 200855434, 192274936, 133846781, 669240518, 287422916, 255991470, 675878484, 938831191, 777594139, 332841653, 321480413, 387053759, 169525154, 275165268, 879573694, 758431066, 923311498, 907602165, 97130602, 288693361, 362125318, 927889343, 855880360, 606420109, 421292364, 393121946, 615802713, 187475516, 107457080, 713183189, 865111159, 49985581, 486816259, 628477652, 280906954, 781860409, 364200085, 465442321, 545075984, 543886619, 803333491, 794656290, 641553340, 163638674, 15844931, 582695550, 57792730, 124325857, 180896528, 289595703, 378937261, 526247606, 323766544, 827784888, 885482976, 596474681, 619235220, 206389786, 217080550, 841124191, 392138867, 719742449, 729242435, 558621658, 152686207, 536975793, 277647347, 738104266, 912966635, 225058960, 721867639, 944739152, 54371179, 109774262, 544427514, 748665679, 16676391, 876439945, 238200118, 38086185, 578168449, 887047362, 909454392, 857278239, 171298684, 882094671, 249178401, 727106370, 42281941, 700811582, 70804240, 892137899, 262409521, 314250149, 164516856, 231707145, 403322444, 26578977, 137281825, 710481198, 909342558, 843242938, 241916189, 941928915, 515459071, 296660300, 274893369, 215652305, 517864806, 248196426, 73051430, 387513344, 192709819, 999038705, 444988370, 315056214, 779020211, 574234783, 801549459, 571614345, 203810805, 22067865, 357176261, 51624199, 475314386, 492934588, 312387109, 956069660, 167191543, 814221837, 428181676, 813813641, 692700998, 885146730, 497477584, 771209185, 769672053, 943640467, 422049880, 8166387, 144071157, 712122089, 428134652, 996682950, 610295392, 11449564, 229463642, 298071971, 794035438, 325145849, 934274942, 429581097, 765500374, 447460691, 652062385, 862651925, 66587892, 51366049, 996194151, 829909227, 397870340, 508703487, 383967602, 705202767, 51719691, 849443271, 256734599, 593418845, 358167646, 710844184, 633935131, 821295524, 660473185, 191154226, 705583180, 649952674, 643409099, 547203014, 38597166, 544488564, 504138314, 416271498, 252795865, 312901648, 575774107, 3828794, 424850128, 72997672, 8532913, 435995251, 863730491, 883224721, 95296476, 877631371, 350355084, 994140496, 642757524, 755526044, 973436934, 825138204, 532493786, 854111739, 770310875, 329004771, 131352650, 28032416, 24482178, 697723310, 535289716, 798465988, 967346905, 388813747, 770880011, 490224355, 281919516, 982981851, 244024512, 872097397, 519448605, 128916359, 339114384, 487550442, 638124281, 854674609, 76041989, 781279832, 519218702, 232662812, 388837678, 135439941, 87092666, 767282990, 97651678, 766136790, 987342206, 165716370, 574048967, 173267713, 137638958, 169862899, 598415538, 953703835, 55201691, 437912217, 811661738, 290159340, 71243031, 19811541, 422869858, 158739031, 699551385, 674563661, 872473268, 578339553, 774058843, 822267218, 135691519, 863981553, 570123713, 754411196, 979632395, 658378112, 302960373, 540511194, 23743763, 853054676, 23316229, 85494958, 337371784, 3303379, 380211156, 879633311, 252240431, 198324599, 804349313, 579772152, 933920955, 701666603, 896146672, 742193299, 721317928, 980950804, 942190731, 619435573, 951464379, 683002249, 66397949, 964800454, 255491445, 251481889, 72926474, 401990749, 16147204, 128664366, 968448338, 892994461, 685120593, 888586694, 828615719, 771986912, 699931807, 130223076, 205345656, 486492247, 793068177, 744887115, 23373833, 521609900, 630283475, 239381219, 148945759, 652553768, 384695381, 76410096, 439613585, 116293204, 893097062, 671797526, 559692730, 106118216, 253208749, 840787382, 584324576, 109882531, 744772066, 965821295, 958125497, 639765378, 854252127, 353767454, 71154219, 261001628, 445668931, 471849882, 947075382, 161131719, 911457694, 373776233, 527385614, 890618779, 998729426, 388088769, 616213365, 91827479, 573292220, 320891800, 57214091, 693135527, 642022667, 682907114, 444462650, 271748110, 703625472, 986512877, 141574511, 310019269, 404500548, 491405546, 830657411, 192762859, 473380276, 334468282, 176477825, 616041326, 251692895, 897327486, 475849746, 286184737, 358869759, 916311503, 372214435, 241067600, 420974256, 992024710, 669125802, 887301199, 386324526, 207312838, 689587193, 219795312, 644637052, 442063803, 487298461, 803385223, 942058159, 264462202, 983546900, 811673194, 830995380, 273268101, 182185290, 586669378, 425076991, 556480783, 787907006, 884882496, 577674966, 992467307, 620558966, 797232951, 980439686, 117525297, 657604150, 642535044, 412360169, 126747265, 879047479, 402619496, 336117928, 581552705, 497351069, 911702844, 2057658, 811829527, 93137978, 67749751, 220579101, 289819696, 73414553, 616104959, 707151512, 297486800, 711676927, 108720652, 824695548, 112213701, 208346433, 172914732, 287709512, 705616061, 228055102, 115850219, 13017878, 413622925, 740842844, 858234122, 25535891, 393419522, 904678570, 859820259, 673762245, 643463919, 699414796, 294540779, 374113268, 194912514, 533740615, 996836580, 204595742, 104878149, 550127469, 201312643, 653615212, 748673664, 612185639, 262811721, 872364838, 499119915, 338827429, 42528237, 51082089, 642407015, 898466798, 799628134, 44828523, 304267310, 195325482, 558471436, 735475066, 271280981, 393052951, 131948653, 932597088, 923122865, 183950556, 312460212, 415438966, 710646663, 615462543, 852232865, 596950847, 531925377, 967926728, 612521585, 410498078, 198622289, 732196545, 960479074, 70825295, 278701530, 15118102, 336209173, 672949353, 225636065, 933061244, 185006178, 470786479, 651861298, 453237366, 535894388, 190609735, 618151090, 941483477, 802408310, 666293154, 986697604, 167555482, 756175351, 783016410, 334619546, 298303083, 389034042, 510813425, 102372837, 372050496, 268346617, 888684233, 511466864, 330723533, 801940023, 852913957, 927784526, 922572004, 897457993, 101886103, 781331239, 435734887, 191261161, 781282816, 126213642, 795692605, 782173337, 479625132, 367749463, 291398424, 725330704, 324911728, 467392326, 652057351, 912142883, 388637314, 184344520, 325234170, 212443695, 225289743, 211261276, 835598193, 194576367, 431073784, 266996321, 119113863, 680028321, 17442043, 450484345, 467278657, 875772739, 930217166, 810984637, 697545879, 333373148, 104037288, 147396570, 61311230, 594174106, 45928872, 562078999, 435621310, 683594762, 254564888, 187688010, 197855843, 20285429, 906985481, 373368102, 759471660, 558168297, 622805208, 454430905, 469509557, 285887140, 408723396, 726628940, 103133008, 102539582, 697333038, 102151737, 125118053, 992363783, 846367604, 143105301, 430129285, 997708497, 114319657, 492057562, 611935769, 59847535, 456535574, 930408220, 974310721, 501125541, 964000378, 512448382, 626981387, 260128946, 797629713, 361622266, 5909026, 999422221, 576215674, 671149426, 724280309, 340075159, 932902623, 901092639, 897853181, 760468043, 875553241, 736281344, 946174836, 65130418, 300636388, 478019324, 589556362, 168001393, 899983754, 243924386, 946117138, 246899459, 389813433, 145502041, 97252856, 271190419, 42453092, 793702207, 688388228, 461877404, 793153865, 480702996, 262150883, 286061157, 44546660, 232057617, 146494907, 412034503, 292867368, 427469926, 762515305, 932982320, 259014176, 19980860, 973583021, 842042647, 471403714, 483438583, 920460190, 142721205, 944425681, 991391971, 791171386, 310874482, 533414448, 703941988, 634262878, 305748229, 970753216, 45447909, 33064018, 550923388, 590054924, 222036896, 292568785, 985020589, 470678552, 299062560, 111887459, 941437539, 950992385, 42412256, 168488631, 386549325, 743043916, 31635899, 963461494, 242111356, 871667535, 40049816, 478206881, 239556250, 797117073, 659780339, 568611719, 828498817, 857696017, 305049086, 409797324, 361929037, 153920519, 877877485, 759933952, 672972217, 505841239, 47294425, 89185316, 566634188, 812434890, 653246171, 712292314, 690815767, 808225669, 170977580, 868025440, 304461191, 648881388, 792483224, 606430274, 199946391, 317309123, 519327574, 585272936, 187354928, 337691462, 551010841, 940320937, 208673977, 126939957, 135138938, 567096644, 633221472, 721605616, 93906439, 875348163, 562306156, 774306611, 405609305, 216433975, 584333463, 237597000, 103716686, 207111498, 797964130, 606803935, 561925061, 736154123, 43072834, 635777801, 261911303, 563553923, 2743470, 708475215, 418113744, 266429444, 265724394, 152695767, 708774127, 638030237, 679561514, 405432359, 293833668, 138977136, 398893572, 985549285, 194245117, 700946080, 723926972, 46284155, 598679148, 2476156, 754462969, 30549998, 187116440, 174159601, 620008630, 240015176, 16044992, 710672239, 683615516, 283391334, 928225611, 896353220, 583963438, 302766567, 612320608, 470834019, 699990358, 141066015, 717993424, 939098960, 529261407, 795615926, 510263051, 820930451, 810634249, 739913747, 673556647, 502064056, 690603371, 156936260, 922879980, 432958771, 433141733, 105360318, 22337468, 692644007, 555819134, 47139922, 98422979, 414329170, 282302501, 123449688, 641172423, 101323749, 542821350, 64922671, 904065950, 442703928, 790223573, 115124191, 459027780, 52023842, 432861497, 347267220, 871748824, 26345040, 588357627, 27942653, 683870853, 855766141, 580297318, 373175417, 750028534, 603873982, 976672331, 938914081, 45632328, 528987096, 309572911, 733902097, 25594077, 347844683, 834127886, 640125677, 749385982, 296511792, 284349641, 472062449, 856180710, 98249532, 914702275, 174400365, 277590703, 469579240, 178875769, 795962270, 975584957, 430226765, 40507460, 29143593, 60730283, 1299511, 628474795, 447288855, 465329193, 122615316, 386072876, 923298507, 190658909, 13119769, 888490648, 257556540, 561341958, 339394710, 295753954, 118485507, 202387935, 690807430, 969804689, 558138098, 176688191, 767937348, 918612975, 921183393, 913051011, 786791575, 990585885, 603824399, 132073529, 339658124, 564826620, 984122679, 470971076, 649293664, 864579736, 5093252, 720418591, 265465508, 120628545, 774313336, 396087171, 318857761, 813188721, 45179827, 687577319, 89998955, 58574170, 774875214, 739263246, 29384005, 37702632, 58537191, 107620223, 639264915, 281312964, 909458555, 947241030, 748937888, 175857638, 176427891, 110304581, 180301058, 3661706, 33639313, 84524157, 396614043, 91970406, 432746632, 617107160, 882939726, 622212814, 970011713, 782416966, 597698336, 567423121, 405914026, 862770284, 390125804, 973966271, 309845983, 254203688, 441590872, 963165537, 748116026, 507366211, 99656805, 427548474, 290329375, 576179823, 378502933, 612246305, 397197886, 127842377, 177988780, 177507337, 185825839, 121744503, 832622252, 904950004, 565038994, 41467535, 283225272, 160553908, 384274043, 933122299, 810965893, 606910257, 489262321, 729258533, 123754693, 538230679, 134769669, 545270361, 455715563, 896887510, 192683218, 767688662, 636466895, 891390597, 63379606, 493509559, 36140688, 336546093, 401483149, 106730693, 440030626, 701725941, 890903593, 344852305, 991021987, 420316086, 513578355, 424637310, 982385452, 140035148, 632786899, 179327061, 864825647, 186672638, 773575214, 930524785, 252908514, 516572888, 649008976, 235188047, 177859665, 67103358, 389556595, 975020481, 410671543, 119903504, 455270180, 59672004, 799464605, 281870832, 28302160, 855967333, 342796966, 170854259, 261109786, 685818346, 732898664, 690516263, 868175314, 596310147, 913242241, 854232764, 134069343, 727604274, 202908183, 446392695, 19606332, 846306897, 465972730, 892902621, 161656885, 527664776, 395935107, 182115395, 871903073, 231094142, 486318713, 821001808, 838195046, 834823059, 217004377, 924106551, 989063820, 768968652, 606096321, 146175990, 614461446, 792471439, 870600162, 756806650, 384666549, 512794389, 418691417, 306837201, 76286206, 701789843, 767408172, 411864588, 730582386, 412787719, 497469416, 697515168, 595095072, 416537109, 469458676, 385469531, 695487626, 377557857, 891705906, 970962357, 341929442, 642202624, 567891479, 431108097, 593678314, 917889312, 705953653, 382129331, 547039650, 35017396, 814175751, 295723452, 613616995, 20099072, 574186044, 170487707, 984972517, 488343722, 940824309, 492591919, 209445780, 413737042, 597107403, 34752340, 877976842, 730171682, 184852249, 820098056, 337951794, 131254735, 802740879, 439948946, 523005955, 288401562, 428691835, 200954461, 25827851, 526115199, 391665759, 197785840, 424821590, 546009823, 724127312, 113823477, 788940310, 330958005, 283516308, 102242832, 636516458, 463602609, 345554800, 109281356, 277204845, 461322007, 787979587, 679689355, 952493533, 882292877, 955139649, 29529529, 567783705, 717792082, 300802428, 919410685, 366629501, 331111067, 509399791, 815963447, 599467467, 878893565, 419423586, 471358511, 237504256, 819450587, 153136994, 916585026, 453448725, 780363409, 902060263, 753605562, 882142201, 180183209, 233212869, 755392259, 754405153, 787496825, 75789668, 86828644, 925711873, 198304261, 631189285, 202737017, 581323839, 314289139, 8190635, 362488030, 981011289, 561221671, 146569183, 749517803, 300398388, 649406309, 870736762, 139809449, 725368630, 41218295, 168306679, 217806732, 733359658, 38321435, 219408894, 773653719, 343162300, 138846111, 523979643, 771173464, 288562185, 463108743, 776060174, 731563636, 968532695, 303541014, 996176357, 511658734, 12388040, 497463648, 673837929, 270458666, 987639300, 3189899, 601567436, 506409190, 484397217, 59262287, 576643563, 595162455, 249889979, 185105863, 312026612, 675098123, 53914180, 77017127, 649144729, 564024223, 975088830, 670669143, 284913492, 680514905, 470411125, 121706766, 248666714, 416157673, 719805490, 266640447, 9142116, 471879490, 433225354, 768203371, 106906336, 95002365, 915692307, 182623884, 122999673, 850067910, 588975298, 562663716, 381679088, 318782017, 980636706, 344852410, 294544256, 749992337, 47947646, 567838636, 159758838, 325507522, 13727067, 84847987, 802830161, 980431195, 389263239, 228414775, 106026058, 979527013, 741236442, 242089696, 293280297, 111329394, 957440228, 431939072, 688756619, 338330305, 358807818, 739951106, 920145848, 800071443, 446797790, 856931945, 930703346, 651895374, 691955141, 15353968, 568131368, 82116936, 568034940, 449591222, 790583271, 868405479, 447946956, 637593212, 4013086, 380484775, 858868169, 656647641, 550119671, 489856533, 802014694, 600495273, 813058922, 843527285, 288142472, 750286132, 810334536, 145025198, 796644276, 132330164, 621451686, 55041365, 121840625, 942700715, 324853889, 759068246, 500930641, 579526824, 526176032, 976256307, 911675065, 680466653, 698406177, 107313220, 460714315, 482544776, 563034282, 625815097, 355570502, 13418757, 240018175, 627251813, 871476826, 531020103, 839340558, 369871222, 970316765, 2236561, 721965137, 589809684, 778062565, 443280537, 475583499, 509039217, 43985312, 114956511, 596656795, 331526489, 2366185, 283163991, 897992156, 78210158, 625085925, 768980660, 567786546, 792170691, 709386877, 698003959, 567176221, 668051681, 900821921, 383802451, 470576833, 392244288, 265876872, 10841287, 671261813, 48743517, 799882228, 204731129, 885433590, 490002786, 156047812, 311460050, 309670284, 928783811, 206122353, 170302832, 659466240, 957262431, 961188298, 402878680, 632465474, 715240529, 364562883, 84310006, 903919629, 464845867, 369877798, 151434961, 483594500, 545947299, 629165037, 544185109, 246318437, 661583067, 438334121, 38558059, 761458875, 710009127, 739121255, 357455242, 882979048, 642198287, 410674759, 815635675, 495148606, 745945399, 605386386, 724496245, 924778150, 336825138, 364141636, 817823474, 39482370, 59276128, 935253335, 980117934, 659324746, 56393104, 234622397, 826091158, 757363322, 796753552, 726709478, 936960829, 955100955, 684136815, 135144330, 352822050, 28763099, 179585272, 407092721, 351416276, 478117318, 66250121, 259570192, 768019885, 796875393, 974014516, 876424606, 986015940, 847062398, 958197005, 755523137, 211105823, 671074569, 276942736, 566496471, 693004857, 946339808, 153413776, 246413837, 362829435, 15041915, 136912476, 385168602, 48259886, 944356214, 753616685, 903438269, 219865223, 337133761, 644404767, 514856961, 379089831, 349820651, 286310283, 539325945, 328532268, 23584006, 283676605, 156674674, 18452770, 366167387, 628369239, 331644284, 813881022, 164060800, 249257716, 694580592, 89785337, 117350824, 486395368, 398161964, 822630353, 797168393, 797913789, 344421667, 182004253, 507167506, 442667278, 992312313, 112139967, 620625210, 698427418, 720770876, 760800951, 419296669, 502479415, 659959438, 517332183, 627717357, 857331941, 774574070, 276690402, 568068206, 643371068, 984177122, 743945614, 789281903, 69683635, 579208539, 862603053, 881819135, 762424201, 133161271, 560261428, 744537248, 637067597, 641268417, 646781334, 543275334, 193559960, 779872263, 477597649, 224878155, 339153109, 114979427, 31341505, 705028754, 906476107, 158822327, 980285697, 132563926, 136985099, 315426872, 381862479, 194791527, 956782923, 888128329, 679110085, 282542795, 633208856, 341316673, 382715105, 794250114, 429568544, 164496257, 258232919, 195789832, 867640229, 917772949, 243596237, 861442884, 223432920, 754117646, 233704458, 358774681, 432659212, 663138747, 770072067, 93392192, 905577846, 889053919, 517024047, 287468451, 471198888, 259203476, 159380811, 788718226, 289323682, 120228767, 423891804, 5642756, 922182092, 96796750, 664861962, 313204607, 600185832, 85141697, 886365782, 619314977, 712370399, 531402261, 657510674, 451988200, 909710802, 24408463, 628996106, 776658265, 116173753, 652168710, 763221739, 16369198, 660952623, 606465063, 272738169, 920042100, 691876796, 967947104, 375388792, 612724912, 252822037, 400165568, 335508669, 241429745, 517623771, 132138225, 60014406, 370722653, 33279050, 539978266, 72263316, 213857752, 244549587, 506392811, 977376664, 553879949, 257570238, 130152211, 872765227, 148783439, 740072107, 839018867, 221329179, 169196146, 568973677, 256589502, 220651505, 939608334, 490133986, 208674268, 687055310, 101461074, 494015970, 478374743, 173889792, 443162338, 624587032, 558398316, 430105946, 119898962, 716937587, 198902422, 641657050, 738596308, 123257045, 108574887, 990769445, 588655333, 884604777, 393026293, 561932388, 924032586, 38038165, 397185332, 974349070, 937804937, 674357147, 760654994, 272726656, 911981376, 645210756, 904117268, 149188059, 305767238, 477815004, 530821867, 248209800, 683207566, 202277902, 461605704, 201734322, 855836681, 86940338, 747128455, 133750794, 729313337, 692560018, 399395014, 601323983, 805422151, 825647617, 986077074, 724721228, 886983003, 854647188, 137088128, 236190729, 895368532, 297310414, 386012943, 987053550, 395793650, 353844264, 373967426, 368374563, 40320203, 1304478, 576583576, 389531050, 399157187, 562093966, 139346053, 148720983, 897408406, 105539702, 302518414, 832069887, 277105501, 198393604, 399867682, 424770034, 609161390, 960161291, 953893576, 369878778, 116481174, 114046612, 702221785, 13385542, 704047417, 314961564, 980653684, 596066018, 246020963, 887958120, 568540022, 405565996, 859348351, 435337214, 346737490, 809013045, 811179794, 2617195, 72586131, 499834418, 321449248, 141509095, 537779268, 463581592, 910656117, 998462647, 996351965, 592594978, 160664796, 544533809, 276446784, 462802892, 433054989, 724898840, 85692447, 729260681, 409961628, 746895365, 450446789, 881040567, 722613851, 630386019, 94039585, 944891207, 398130030, 682995567, 367817146, 792781949, 102273830, 539312204, 331371368, 172835541, 883077955, 763020047, 784385023, 412193453, 297501645, 66282355, 358942021, 659153754, 921888506, 522455872, 548405040, 541662524, 836511894, 893644161, 142310550, 813118791, 456081713, 577134183, 467631175, 102154198, 124586569, 193726182, 924330731, 143138720, 446505563, 265306237, 131294605, 424474886, 589379471, 948645380, 469169534, 784306614, 156813266, 763730026, 857065413, 159485511, 433576361, 381750993, 398522565, 448390460, 543278364, 611869209, 227905191, 794125499, 359938849, 164661786, 716607737, 655446089, 713273694, 130143360, 488653297, 38558440, 616876776, 486240021, 506973866, 143376539, 476507647, 577934922, 544776470, 364712218, 714421114, 252529012, 948550585, 413634152, 985626729, 909929633, 814558983, 287151392, 124706403, 782858808, 66785087, 630675230, 217565655, 365073851, 263536845, 941372026, 196945967, 335312844, 561238101, 10207063, 301416583, 639644426, 709203664, 677388652, 118826182, 469784456, 953511360, 812637751, 403262451, 284887214, 324508775, 476667689, 417698125, 289272662, 937532146, 119397016, 171505574, 79945350, 937430742, 158299929, 252702951, 282839320, 32513954, 271329808, 618673645, 826648750, 560798105, 82865562, 629396901, 789109241, 690062332, 507366224, 417375135, 238346833, 552338806, 612464454, 834871501, 947409330, 450478343, 453619157, 255511334, 872962656, 649020174, 216851134, 902575043, 151898934, 962647908, 281274393, 94049845, 990359823, 548348429, 967816935, 204398871, 425481996, 162202705, 405722122, 953376929, 806652644, 913697044, 752590217, 802476744, 668091182, 341815893, 646651686, 76489449, 559977031, 752409332, 988194224, 771846726, 290027817, 3782019, 697895763, 306289108, 713005926, 415750382, 811540103, 1171407, 682739375, 458361602, 114666538, 454027964, 380401073, 727479619, 355551937, 865299354, 661395338, 413675003, 261301252, 537080286, 617168246, 282139395, 828024664, 794002470, 550946954, 995994251, 360206226, 209947941, 542394122, 328651734, 865261275, 630487368, 539068343, 508372767, 598901797, 40341750, 133931993, 754526374, 781145615, 381562603, 76559505, 85655586, 59058562, 646792669, 175931740, 210458636, 600754749, 704250034, 131062778, 972073767, 869888901, 957436749, 484864151, 577429563, 533728949, 169626743, 753793696, 532601608, 356187773, 810938869, 465707150, 150205581, 485820466, 780802277, 212492666, 956883304, 170512998, 867751977, 54339086, 293186518, 204416850, 953119079, 478278168, 687287622, 714948996, 928832814, 10438071, 647913500, 172177082, 156829242, 627650401, 39560196, 473345998, 496565862, 957310889, 733170016, 251044400, 623399045, 215767644, 761253428, 69193187, 456318677, 562776235, 175716916, 572481624, 104479390, 499699595, 188588151, 451702022, 806443970, 921385339, 328803284, 934677442, 364213209, 638239725, 669351828, 281122124, 526646052, 866488167, 604666657, 488802036, 630292935, 214927688, 837071940, 141538293, 843556781, 92078948, 654786466, 630701352, 224122555, 647063046, 312941802, 174748163, 540404840, 988584405, 618493780, 236447486, 319638949, 376789905, 683695868, 107598582, 690992557, 384663682, 750658989, 355604451, 611953574, 979598008, 441611218, 549236603, 591668355, 576280797, 475665659, 592672758, 822081013, 852153879, 851267606, 810810894, 286985531, 457437970, 751654650, 735968375, 856134031, 185864122, 62601430, 907281458, 593516140, 167388163, 89107395, 640699799, 535847812, 13452641, 154372161, 146226393, 369492725, 710231427, 235635757, 441060837, 704044591, 951301822, 267689437, 695941550, 81858075, 825406743, 737687142, 875980513, 816835828, 72143987, 273058407, 47697397, 291384580, 124238055, 948872597, 312833850, 725456692, 290012009, 682647339, 264699913, 562895877, 124241422, 59071704, 928558413, 691477889, 118448918, 43867023, 414816189, 442303356, 358842866, 411528257, 50053583, 288412163, 234320422, 237941954, 397234704, 732138091, 472236888, 976425300, 831639818, 162906638, 843496770, 45372721, 773128196, 270885460, 602417894, 47648092, 293225047, 481059680, 285875474, 597541793, 494291542, 764755697, 83064005, 112054153, 987193011, 132082062, 240976881, 898685079, 745500620, 840604468, 171502537, 652232130, 536733612, 484798212, 2715582, 180648307, 264845704, 550546249, 966566812, 418838020, 330703437, 610637438, 924603572, 108400776, 996184690, 525246776, 106211954, 431705163, 60011429, 471146335, 629933227, 654629850, 609687984, 176221788, 511820880, 240815206, 216383711, 857705798, 285959480, 526789216, 579165555, 524358478, 912079186, 627467217, 186255826, 721580186, 612012797, 568460333, 446756535, 714277801, 988735675, 953327170, 618170835, 915666464, 235858580, 944371284, 812337510, 567323261, 977353318, 871551360, 777781355, 608865313, 733520311, 645613730, 609983317, 946938827, 414731933, 17823345, 488424910, 683493248, 283082785, 960498397, 510929887, 972964020, 337555639, 404620024, 817179438, 634675511, 275727714, 932340313, 945490322, 125724568, 153394497, 131530124, 282253801, 279907232, 630419208, 471999492, 490319653, 883118084, 587204008, 738936336, 809110708, 471057793, 797211607, 27334724, 859438375, 659194646, 206268531, 972739248, 408427831, 105299391, 825568904, 981689735, 708942213, 643042291, 161127138, 723734070, 420655779, 204707105, 211167521, 22362841, 808841947, 174559469, 470303403, 758953780, 66731869, 56843740, 706495151, 351395588, 956046747, 522012386, 235160745, 658338213, 648688243, 354135936, 218332179, 508016882, 680024136, 824701592, 302452759, 846806099, 764899527, 47894634, 6652627, 375369046, 830121902, 314328655, 296438943, 350375862, 483294235, 19670014, 1932520, 400144924, 908847310, 614828809, 786555944, 152726567, 516215738, 650525874, 657770761, 568147771, 408214058, 992205475, 611478042, 615277446, 312514355, 454142882, 61998975, 841007365, 960025665, 729777119, 997477786, 224962812, 145390433, 179282525, 965882122, 547050963, 222477178, 780596772, 151704332, 47174180, 363388766, 746968708, 790735471, 815499557, 805233417, 166291342, 589618657, 794133062, 62874767, 175562360, 689418453, 284609182, 936930642, 39864117, 909595029, 382180606, 696204721, 106656182, 295662002, 342199783, 313710589, 204752962, 5366544, 796558303, 126043997, 879801520, 485064954, 41764357, 250666020, 364938853, 500565883, 266830299, 614364924, 776142049, 347407809, 613819933, 598225197, 29557152, 26968956, 648484294, 849911709, 286585365, 175305016, 118946806, 384300176, 385803072, 688802096, 479256751, 522571595, 974859336, 605428655, 307459914, 752459606, 425883071, 571959311, 920621491, 938731042, 520243818, 472478919, 341157227, 315832783, 329138198, 714873979, 150914046, 760746048, 33177627, 358516264, 545630295, 532905077, 453855334, 95090984, 768489628, 401361831, 656212862, 404696317, 820847917, 201317505, 439095185, 101906154, 10430277, 901568666, 118141686, 804141776, 942461657, 658104125, 408614134, 735159862, 920810848, 859651755, 378362314, 753337261, 691449628, 631665807, 152178879, 915888654, 398489323, 825759641, 824100236, 85406807, 911260352, 535156227, 752232849, 830580958, 414043117, 605810090, 641158516, 631076944, 967031125, 826347746, 502792603, 722439669, 954936619, 540119043, 555407481, 478802317, 188025815, 343153308, 577608018, 665951667, 193358826, 816203737, 534525164, 824897715, 854850199, 819412685, 454824895, 246387198, 853368365, 857570825, 948255969, 902350306, 677913280, 979587656, 709892622, 134401000, 21246010, 517597097, 781732870, 152760461, 344966202, 335207820, 611760852, 432599037, 691413141, 772396525, 893752510, 518760225, 648388078, 527397843, 694467369, 691016291, 466205792, 513940944, 622244088, 949144805, 403987195, 841391731, 894358038, 452988480, 802220966, 367066918, 834334876, 672489115, 816157970, 863807236, 80901863, 477838050, 119583078, 843604311, 683574849, 8444180, 518153589, 803958816, 669390761, 444513118, 185326762, 58213733, 539853816, 980238166, 119950347, 931035007, 536696188, 790295072, 415486311, 57116893, 215930371, 673761692, 767622921, 756797789, 349916104, 282559987, 411180949, 539444599, 374058015, 454076129, 750182128, 223244038, 518935415, 663651512, 612382773, 900620670, 583397168, 285952738, 769338355, 953638545, 924833584, 324942928, 229831647, 884338522, 184486719, 22244226, 784614482, 778215065, 663472900, 18464169, 962110590, 423243212, 358881200, 359801041, 618093057, 912164809, 31572509, 148749239, 954458053, 196669505, 147397014, 379317571, 877936018, 477489791, 33694633, 493784788, 226095220, 302146394, 185577159, 538609659, 203445465, 335265502, 640665393, 978997696, 477092658, 203554989, 673621648, 677107419, 816858691, 197850853, 991439207, 582285334, 962787356, 367910793, 156929699, 930151981, 349204878, 336473842, 717318277, 965288662, 765245767, 190553265, 978557221, 903976697, 941157815, 38058258, 529199890, 956002618, 448455536, 678142354, 287270849, 275272482, 115004451, 962700057, 856393714, 991739431, 741740215, 879047593, 892067178, 720740209, 245978196, 773081990, 352560897, 858457161, 144301417, 903403348, 637045501, 560927975, 121389115, 390295380, 26312819, 853019954, 207111242, 985091797, 99930239, 529186589, 712046418, 42826895, 72445921, 415094526, 940753674, 655562399, 504844599, 485787398, 583563864, 655285001, 440959043, 429856024, 988819802, 88795516, 183762429, 886595502, 640795995, 569973802, 433086672, 859560589, 959336337, 389301788, 628447723, 551625392, 928328769, 366059163, 381989753, 168521420, 382091957, 890009586, 213096978, 333438591, 205140414, 269872734, 61050751, 21253928, 379853025, 628864167, 142031623, 451998839, 943379750, 591023622, 951390229, 737777400, 264872557, 223032396, 439968999, 325421404, 163541760, 739332363, 66909486, 460577370, 454293130, 392007755, 579460658, 429682346, 595402519, 171165134, 446676127, 873858638, 114196777, 329210619, 215425923, 297349581, 477347859, 467284279, 180613671, 77025143, 530802926, 309337923, 605183638, 381561720, 350857378, 260625055, 414658472, 656783628, 839198853, 945803590, 820174032, 444359558, 293755855, 786914460, 532930786, 77287096, 170893652, 921844764, 896284956, 108578970, 176542882, 344657216, 139806401, 911669275, 414550047, 719344367, 833269958, 634970677, 58246087, 73763132, 748804179, 850727225, 240639217, 419608633, 78591804, 829024329, 40790353, 574628703, 485067387, 292386771, 595921638, 280772584, 382329516, 266028363, 133394040, 944227656, 869304418, 548184118, 744480437, 421615174, 803795718, 538330959, 93898877, 88264803, 711254470, 508349999, 219725405, 468241873, 881497116, 544377925, 493844656, 338392337, 522640931, 927684478, 454442435, 25068134, 579680349, 19185956, 169871194, 104877696, 782870077, 740027971, 868917423, 437609332, 249337389, 52937545, 902448492, 273968821, 838372145, 303971026, 370271741, 933499980, 950471102, 96217327, 752094240, 465189797, 988884973, 734411149, 281850473, 176748130, 447843380, 914992627, 566718444, 21238955, 876942878, 989808825, 395126695, 432505138, 419262843, 452320810, 210488884, 772334592, 142345486, 512320831, 317486343, 687672403, 956669636, 428044591, 860387608, 219183019, 843390750, 381338429, 209621043, 61590845, 875789191, 155144869, 542397984, 788438747, 821100021, 230002830, 125320118, 313192652, 53215268, 700280758, 6475673, 791832219, 452155877, 936679807, 32433298, 497611533, 127879262, 445246747, 737819475, 131025606, 316092859, 89542725, 560199245, 915749697, 499187697, 760376301, 207977009, 878494163, 854813853, 552179383, 428042878, 459060183, 763827591, 304123919, 650875773, 697925802, 589473231, 365637287, 452996377, 262819224, 665229785, 272611222, 870950811, 67517789, 523045399, 294362250, 448259243, 522824567, 483109534, 499272907, 976494751, 316977261, 557979886, 890373813, 180648743, 753238763, 142734557, 597809831, 417113221, 530888231, 39517168, 74835540, 470314516, 360845164, 40570143, 16398937, 370530878, 732623351, 98026004, 557439294, 741971862, 18107327, 476019058, 823120842, 742670730, 503754677, 872441558, 758953903, 599731755, 45424343, 729442456, 725335493, 703805825, 657855139, 103716972, 134040675, 735815327, 858331416, 978564940, 759951254, 685406067, 51463272, 161586469, 232878003, 653658655, 66436685, 736156555, 305341934, 657827092, 584702159, 488590458, 709904649, 907763203, 5282953, 695713384, 158573427, 896721835, 761686101, 811239947, 833432837, 702913278, 649557639, 5706430, 802244302, 886173041, 934678111, 105979083, 265408286, 461691739, 193564368, 276620931, 499449974, 784681712, 733696258, 663052848, 783049718, 873280545, 452616226, 850561393, 505096914, 144913651, 153243869, 453879176, 38365037, 958902104, 195487295, 650270582, 228840938, 917839613, 863603968, 298682808, 621054446, 167543409, 358789870, 868276354, 280804326, 374596204, 322753300, 57308801, 615711755, 511448558, 317023369, 854960621, 193494528, 440305110, 433952841, 221882373, 672491618, 570018661, 707464243, 524643636, 871556065, 874358759, 976654810, 438924571, 430336233, 941246759, 829484027, 400312044, 390820787, 534622585, 666897166, 444524334, 4334617, 138556249, 687306145, 870837449, 639574271, 410249555, 625388502, 374748117, 276057746, 217031982, 675590891, 996142155, 807026201, 117091271, 300968076, 619325061, 769575419, 932466127, 187627430, 192836459, 933056231, 277838880, 801363274, 653868977, 214049132, 506913315, 969925852, 63397372, 9329009, 917591030, 619124865, 881598223, 787257911, 565605831, 259377370, 649593079, 895734874, 720598147, 448548786, 981549471, 971817598, 672927664, 908464128, 528977172, 85476263, 352278148, 137985178, 767324733, 674395146, 471310141, 416878622, 263626213, 985526375, 551133376, 325294337, 688236939, 21856759, 708650268, 810605732, 315318543, 133755794, 579063940, 216014308, 913890770, 259615637, 254822442, 587490633, 785394181, 334740369, 722906568, 573251844, 40318339, 213408597, 811763687, 99189531, 946827197, 998851961, 140456357, 46469424, 174604124, 308706889, 587342760, 664951844, 501726538, 123000244, 758229424, 622513545, 595284984, 886995107, 597101932, 605656454, 135584667, 941096858, 415459014, 460497594, 823773203, 981566127, 59718919, 958348400, 428708813, 982183400, 790050503, 529824712, 92858154, 99216118, 449149907, 863913085, 205107600, 99315620, 631884992, 900830810, 335542185, 830282810, 774711418, 39903375, 4538865, 863371065, 178860404, 21647106, 528781892, 951773446, 357460194, 512858593, 339840818, 818413277, 20397423, 910670880, 404349021, 929530296, 924827091, 542317885, 262493194, 26075313, 423171762, 742177165, 188056875, 679601948, 774883188, 109899404, 18818503, 289712343, 869542107, 658583165, 440539147, 509828253, 738713920, 909719017, 115024881, 527956249, 374849852, 202085776, 960322202, 120276597, 257525308, 447111761, 888830242, 666103532, 842497306, 922529404, 963270322, 480190395, 424928838, 579668099, 667677054, 355487380, 626035288, 893912027, 948597222, 946950758, 399836558, 460187944, 701369001, 515931121, 412791986, 502566181, 163088501, 95177809, 869800535, 160213457, 273914353, 615474514, 629407518, 5648033, 942228222, 172958853, 280911475, 246693365, 736274995, 861507335, 825607676, 563496698, 110875838, 269990826, 219130276, 629771302, 727370566, 703036516, 176946719, 189770554, 589926260, 314718667, 4741966, 810064771, 143023331, 745419089, 25480238, 338688541, 340146062, 863814506, 888342289, 224326007, 533147836, 449947692, 303159702, 565896553, 273893607, 9044623, 882384941, 448030280, 14424983, 484484771, 365827044, 973671866, 786916484, 567258722, 214721761, 43051811, 914217937, 41253490, 397795741, 805750609, 595520186, 265366743, 401260201, 746088412, 960167547, 419322906, 277195708, 216797953, 214957596, 86690845, 806032087, 226608082, 849107395, 812985968, 812917962, 373208323, 427971815, 326130096, 737189664, 771849871, 813089453, 478668986, 20641802, 674350829, 37217200, 641084495, 59138492, 968226359, 235467161, 375700467, 388780808, 411421856, 459611286, 960701528, 595758912, 85360132, 53116232, 442319348, 221812899, 621803476, 377289625, 430986034, 424837220, 168584325, 771378244, 127538056, 613329449, 672845241, 685151276, 509556530, 322841452, 447699967, 164923157, 329244811, 245490032, 326964219, 685096133, 814239922, 232677793, 926306015, 233315879, 744595771, 938457017, 980432321, 582594856, 641879955, 691851156, 190889773, 467587132, 266410417, 974711315, 41274813, 223052967, 846012000, 588744607, 697734333, 532125795, 821051369, 716261507, 290775111, 1714045, 912618388, 198931295, 914989605, 959284532, 223796303, 12279611, 334177055, 594842213, 388294018, 719770702, 461732735, 104392020, 252984152, 613866898, 884545116, 222180069, 140516383, 23423854, 945878720, 965591379, 191948532, 752300669, 207461879, 430474527, 656468691, 306492169, 912306463, 92958364, 403423377, 850873292, 313267380, 109018448, 483515441, 36843849, 692617773, 990793202, 386848323, 416054660, 404592204, 390833510, 718961662, 700313291, 201267927, 730318442, 440381605, 439571376, 558275589, 96038706, 175646570, 695673332, 280775892, 909736072, 946501901, 490520715, 425072267, 230585352, 388436859, 589148860, 731285277, 426402488, 841646984, 19695196, 994434577, 955631804, 328373000, 24390280, 939094962, 594131914, 446148963, 793778915, 811262307, 457255494, 880022463, 629591830, 779087970, 831529102, 850810937, 885194122, 606355222, 414573319, 359456203, 324299903, 224419166, 882683700, 734881081, 336277422, 584822066, 861833018, 546304246, 922610726, 589039183, 140707576, 626039565, 825079159, 662448837, 314348137, 580984723, 475418159, 999961996, 197374916, 681174677, 356432918, 352315235, 669165156, 634236391, 428039156, 186611321, 806016509, 601519025, 96661717, 814974459, 184205621, 964082610, 817410011, 731583202, 643459677, 315643767, 126081007, 66366148, 551058710, 512277048, 900427045, 249769732, 61542367, 862752810, 505745528, 355228920, 477250609, 866423079, 486167974, 272113561, 605697490, 775317665, 683184779, 653899289, 997631626, 678556837, 928383373, 680186015, 889385700, 805339806, 806573340, 589352104, 659680801, 787224319, 489644599, 237407015, 524679431, 258120315, 921655578, 840169841, 565121553, 332936256, 294123912, 54997852, 992050943, 324019534, 538623976, 950602255, 554778764, 886106854, 347629143, 933993584, 925065077, 984968724, 693876453, 405733605, 108086293, 88530444, 602639802, 78622713, 405123737, 623720592, 311821837, 276706600, 520056864, 290912456, 987628000, 774755682, 963368315, 208388326, 268759446, 398441247, 983490898, 679638016, 923520827, 847651952, 307521481, 130592976, 70654175, 941004832, 400097931, 438769481, 466955635, 265293456, 56100280, 742064674, 142473369, 854441840, 139035740, 643305527, 705728578, 10652322, 138913110, 904548980, 308536992, 655319873, 862678448, 508532456, 389254199, 129550314, 496621128, 600140692, 349828315, 799307731, 608833398, 956326135, 989620149, 842625735, 135771202, 862416212, 521037480, 440938809, 320266946, 248763769, 616564646, 443476635, 708752233, 442783579, 94181367, 94283924, 792352497, 600814622, 253897205, 343770488, 710275664, 12946099, 602291279, 334396099, 66502283, 131852772, 206587492, 663606089, 837354577, 396597273, 342258212, 43871562, 867973666, 461717253, 381630778, 134372080, 516647814, 5616833, 247852765, 922278177, 269713069, 174468676, 824710622, 927270186, 234885195, 767884675, 674099711, 629228763, 826475622, 912907552, 381730052, 326952553, 925431836, 606337421, 97529742, 521112416, 577841385, 224388469, 399277485, 799334212, 877518602, 551915127, 578830729, 701057974, 472803381, 495952723, 870040802, 585350734, 110887956, 937282914, 804823633, 814372503, 213883392, 778032856, 320551659, 389786347, 832032943, 249621779, 77769345, 730869829, 169678330, 985041364, 409495128, 999982627, 104593700, 630750176, 220418243, 715666992, 366699731, 621761838, 784446040, 321161475, 950014826, 832217626, 485895092, 60937561, 190432955, 16015023, 293401277, 960143062, 944112978, 218178211, 950068353, 555544132, 84590396, 421254799, 773605340, 895103051, 963434624, 45745258, 853630996, 843249346, 27892004, 373892039, 909187431, 892125291, 880234128, 226406735, 583611563, 652638377, 412728405, 763624842, 656076756, 472528738, 155229805, 960750227, 570482309, 621087012, 383683489, 985801476, 640722445, 908496770, 146875600, 183141487, 762488823, 167050075, 444476182, 472889400, 304660674, 247403607, 772249519, 647011050, 615479567, 298273242, 200593131, 944402935, 730126277, 909725833, 608093574, 734137353, 980376073, 46927247, 483760579, 942752677, 909812560, 151945919, 555662282, 910214827, 277870185, 559442281, 100148938, 937270762, 602235308, 853757388, 533772678, 996842306, 994611913, 855317360, 958608093, 844508171, 400941585, 23309344, 573739316, 524606879, 936068675, 841591421, 746587726, 357280174, 194745931, 52267859, 781747256, 390279553, 844612420, 112645336, 690376423, 218211711, 850047309, 938936941, 978729383, 241730972, 481611581, 691231701, 442470144, 63830228, 113364147, 949883678, 173799432, 879888820, 305288025, 934834363, 108003864, 142933464, 527929947, 807082904, 457693527, 300290304, 306469817, 764198844, 205752179, 184557903, 341829525, 674385389, 658831551, 126279990, 935554649, 610861904, 859445849, 939594508, 871251514, 599001103, 739703054, 882312385, 899189648, 586241329, 597661747, 444820719, 213661949, 83433685, 510394756, 762263957, 611611364, 830889783, 70640537, 514512857, 618315089, 937342825, 122281658, 815672440, 319020581, 499705316, 274422834, 940975572, 980878798, 740332277, 826425550, 950477091, 136179165, 543708016, 102249918, 215639954, 572055369, 753949057, 669426332, 171361151, 113488869, 665129711, 553874755, 926247117, 848701050, 594782252, 199096025, 931204646, 355225953, 235898822, 436669441, 81494902, 349844549, 216886432, 200265903, 178299285, 428241342, 816418925, 212383244, 257655290, 548864440, 512521854, 763357075, 96534639, 803624832, 85673861, 711173183, 453980323, 651577819, 909175353, 269591856, 978748624, 511949007, 721167265, 137988773, 558271612, 419411620, 72592186, 874567866, 340195470, 762314888, 760717792, 18022114, 23622279, 666158573, 63288432, 751557252, 209572908, 541987270, 977244540, 887365879, 522521086, 638476200, 682049631, 994836371, 744149126, 44257358, 868058520, 665390554, 669018151, 338329318, 957981752, 692472399, 28722247, 230726534, 757282262, 408840656, 66539194, 544039005, 904100930, 38934295, 374015377, 899703130, 475805904, 862675440, 452687044, 213637027, 809076628, 686019609, 926308950, 571700800, 733110574, 942873865, 716809818, 139968565, 997262732, 503640619, 422127631, 248326994, 39265692, 881859001, 281871650, 164573111, 417999405, 91337650, 535220790, 184440822, 128599994, 47858942, 350644437, 20525244, 162237578, 73424099, 137110164, 74835958, 429599367, 614258924, 714384727, 533930764, 607740901, 692159169, 120390614, 816841085, 422894861, 699592046, 784228641, 572705121, 712543900, 40895399, 426955698, 529559158, 777408506, 194031277, 438361988, 572012726, 130606746, 679335991, 408287937, 707658221, 759194084, 68254426, 63896421, 938981841, 852542141, 31412826, 352042272, 442171426, 59619798, 5931436, 848652240, 557405785, 469452, 794353973, 413790416, 231546630, 717339866, 814224710, 761259328, 569293531, 715637927, 803616900, 801884389, 793894897, 264567501, 892355933, 762572035, 473190324, 386852283, 934984893, 6100069, 352067353, 240818121, 230316041, 876348730, 653184143, 136634904, 187382996, 403215073, 663424704, 640143886, 204766901, 905192114, 146154696, 47289825, 427718187, 607360875, 477930745, 991617266, 627643338, 261291489, 100368909, 846936745, 818393741, 656780455, 773927684, 890079767, 839105519, 666328121, 488719003, 184432821, 922397341, 798691039, 266654772, 839071081, 152684094, 644219104, 814070951, 274890154, 421166949, 782680750, 95617312, 638577561, 452745832, 937127183, 239962821, 380246877, 285459767, 336606339, 61804210, 285220169, 715638013, 572414365, 147947867, 497446450, 520774501, 860678253, 128644034, 636499052, 32331188, 881098628, 314594965, 922361976, 719541506, 83432761, 88195814, 486799846, 31544917, 579003109, 881135097, 166251592, 311163203, 632889659, 808689999, 336297578, 351629130, 813743753, 102813884, 361965546, 496914589, 170871507, 271684707, 361957701, 580640291, 69096200, 530738840, 966272935, 976567612, 868551600, 179459822, 758308102, 971098025, 847183567, 815545321, 770130293, 860782814, 614476701, 640412051, 220084966, 435360363, 517313655, 194855852, 330223063, 487833151, 504751127, 106381593, 504011759, 894216455, 239554318, 513532911, 93081430, 238958592, 928665287, 749223770, 681529513, 623517303, 632344049, 800579581, 130793179, 713495617, 587188901, 865188860, 462766004, 906091784, 231432718, 42850671, 854726594, 244093281, 512450699, 956519123, 204662748, 318289352, 579259058, 995278506, 19966998, 237124823, 567213824, 900531003, 218342001, 491823276, 319347051, 892524386, 154755369, 890354872, 485366193, 837368211, 566084130, 641565019, 287823302, 298923274, 923388396, 138409658, 284368657, 536049584, 118413458, 955873473, 53825828, 937720311, 974677108, 827741536, 381794571, 435262179, 639287549, 208235001, 288071879, 208433498, 739991069, 241393320, 973382434, 344127473, 807204275, 109702691, 590081556, 586102470, 376669458, 886114464, 226876849, 977358703, 211476682, 387252239, 547312772, 641035235, 307576804, 633586398, 177390274, 393552819, 379013803, 981493329, 940576108, 925462496, 667544857, 814462982, 645974885, 128930788, 164123115, 98469962, 307282582, 723306474, 748041705, 727559233, 992416160, 893761116, 927075915, 210242437, 976663697, 449165652, 143148826, 330276275, 398638630, 871274235, 277540341, 433223545, 651770020, 876795154, 502620262, 478040576, 450215153, 915149601, 543408502, 616575590, 390433334, 411279091, 803835966, 765330182, 438212596, 332838317, 466967006, 394341182, 768988676, 225677251, 137270347, 127670475, 610130485, 639472031, 635674871, 390212380, 12485352, 622187778, 617482464, 652298865, 465384255, 460162739, 584114392, 97285133, 883845596, 693332518, 76153751, 29249933, 407775489, 97661218, 273927432, 523576585, 92372540, 728901884, 53442047, 302098902, 873516552, 62054711, 583199284, 704158105, 152548846, 429564522, 645024331, 794800908, 78913986, 50009324, 657223707, 736821736, 606003002, 726927743, 712736290, 194261012, 494447223, 535190135, 247273706, 546682767, 374207489, 903585543, 915737374, 939201144, 234556060, 533951387, 771962919, 338718846, 986423039, 914370398, 95226875, 382336949, 662584847, 340269160, 248483354, 470967788, 728725968, 466934241, 534471796, 881692013, 230479545, 379904230, 338215243, 318656702, 104883052, 151730952, 976975231, 232155713, 951198518, 918100682, 214630368, 428286483, 414528801, 245616516, 908239634, 521226205, 782086579, 427397355, 392020524, 581010240, 927524606, 349401164, 285354569, 448537013, 823975806, 382465002, 250506950, 798808150, 382346939, 195562197, 695408241, 802782773, 729343268, 293596838, 70500571, 668781903, 545348230, 144905689, 804091690, 150655098, 886698831, 75267747, 893576917, 559431529, 191975545, 554859536, 18096756, 746567288, 125928704, 891605013, 576033663, 925356268, 663638119, 232189500, 818532107, 250516720, 2315464, 31102504, 707670272, 310341594, 468510832, 551110480, 574870655, 925544507, 681616496, 788333896, 650917473, 560758297, 111569264, 842255575, 913646817, 578908689, 292256582, 171018668, 975170407, 312508217, 411612946, 331241059, 683106522, 398612112, 625199426, 896041541, 539673152, 635713515, 475876707, 334446047, 359693198, 755502825, 41100554, 786137207, 958587167, 563951019, 716000312, 812839636, 278627633, 840763795, 882821823, 972791859, 307224842, 901776573, 624051381, 827757436, 699068299, 854683094, 371241394, 951529260, 496597412, 652637482, 837431147, 21089965, 464838134, 779282536, 671006485, 192804425, 206055930, 23760205, 866740682, 49268483, 95962094, 864054022, 378323558, 734400464, 526969275, 584986917, 271694321, 580534194, 999651458, 488350207, 499296925, 56805446, 804747564, 363322075, 924916630, 902066118, 806215172, 664353061, 518292421, 888068686, 417505305, 86879959, 823666649, 411448204, 705993118, 488981154, 281487532, 966416878, 493397004, 300826413, 125804414, 97381819, 127495781, 980710675, 909045092, 594072642, 26255185, 796553574, 229658923, 980835834, 55385113, 552352244, 77544969, 542268243, 527611920, 505971000, 913689003, 315615021, 508409711, 337638480, 467784613, 44917229, 414206139, 487301763, 914329243, 217899058, 104418525, 868450522, 362319724, 414706512, 691137477, 307146782, 571190616, 773203648, 652019585, 450483992, 519301802, 871180480, 988781748, 547079931, 990430342, 249640515, 525596923, 34467639, 240381025, 338572984, 419378822, 223803808, 325548960, 358936855, 535870289, 575861770, 403478760, 628770254, 357892256, 244624903, 972787366, 831875134, 902587738, 823944715, 202021529, 151956272, 190332948, 887414206, 583591361, 296985527, 545315767, 90659690, 277159930, 406159755, 835727440, 251527557, 872063594, 67911442, 673584969, 530013805, 5692192, 985643158, 717333278, 411004349, 186228878, 98796417, 250053442, 48520036, 87557258, 580152607, 423358617, 726471847, 751040013, 148127202, 283150641, 951782185, 881035141, 918658721, 9912402, 967779847, 674270613, 679091521, 868877312, 184081622, 85487207, 168163906, 43742570, 175603454, 22855325, 208993781, 697011379, 608820271, 4054153, 638860081, 273672570, 318556825, 7747608, 460275562, 20794958, 230991488, 849585073, 413749000, 571484199, 971503507, 717070807, 526306621, 530781114, 620042413, 767408866, 453791715, 980701857, 792551934, 964148491, 499395853, 54938896, 269260165, 609427695, 460154009, 353229187, 933838952, 664384635, 200517290, 377617089, 144024476, 519946588, 613897340, 954950376, 508670024, 885319998, 903814716, 845574007, 767394457, 53131253, 342219644, 364942629, 221536513, 919395927, 31803873, 794980982, 946404374, 583408458, 81178689, 118668427, 931395896, 378845780, 973901046, 632923313, 997644144, 772294835, 332242413, 90101407, 706782441, 539285425, 949776958, 497701956, 187777411, 676270998, 325571627, 8326525, 945082073, 909756032, 304066075, 713957548, 321399845, 847307861, 331772435, 963028581, 484807615, 984999567, 202765612, 452177476, 332204325, 884732606, 611112184, 9850400, 551548985, 685251216, 555285594, 883457801, 153418136, 234993980, 435263449, 975418989, 131540712, 385508001, 378711013, 727673122, 768714569, 322502371, 792857983, 248037118, 697011317, 547403462, 522913563, 120480094, 405109714, 590791712, 133358552, 685587018, 798066848, 425520757, 638827472, 607013511, 142175604, 388205612, 767346163, 451761201, 801702887, 478728656, 819179457, 292195712, 679610881, 493541232, 644331909, 441597279, 337219090, 900097079, 481153362, 630860432, 778453696, 869440448, 391946963, 593701412, 543396509, 358964674, 173370410, 543704719, 38355573, 301530953, 866667815, 63157013, 340935639, 505001734, 181053759, 163238927, 446868792, 954887345, 920286183, 746739353, 18940541, 713138023, 458201345, 11166433, 116204699, 664340479, 632396386, 177838138, 237644222, 578261215, 223816276, 157440659, 771911423, 713061115, 358919920, 776685360, 487960649, 20317843, 106890020, 333513885, 447246279, 422561916, 622091557, 225005129, 45404173, 284174910, 947941571, 530041397, 604580418, 398913041, 728114544, 522742294, 115220267, 765779093, 133446011, 756417943, 933282946, 140635326, 81567016, 238395439, 917990043, 703851877, 104862581, 11098374, 722513684, 571239269, 957598268, 972362108, 291102674, 738343250, 921522583, 843651269, 20189671, 790878125, 231311449, 740981445, 669295367, 572105219, 291246871, 44530129, 562831038, 14262637, 943472897, 584458912, 861427010, 919213068, 881487425, 62973032, 297064923, 633602006, 478631759, 550813290, 928770358, 662131849, 248287420, 433549757, 393587837, 234998678, 752143347, 979282197, 368654312, 400019443, 626652166, 288943967, 689834202, 666695315, 134216473, 610498122, 833801593, 229089647, 223659368, 484876607, 737308125, 167331058, 2689655, 93837365, 820236228, 783976727, 662711567, 801221856, 687170806, 407682837, 762801549, 157711360, 603871847, 339062317, 888125032, 906029490, 96197535, 205413627, 592545252, 268473841, 937762336, 750949359, 352280553, 806689058, 254844734, 88994820, 854849203, 872971180, 594090493, 490010431, 55917788, 473216152, 465756527, 163349034, 644799571, 416519307, 375156043, 741838556, 379745065, 690953888, 977580942, 606609922, 388704608, 322126696, 28911393, 562662762, 500143428, 809198787, 850098402, 148724182, 992368927, 299830765, 897424341, 228370891, 452279774, 855816199, 485105739, 625184121, 379039627, 575058232, 109892165, 888409911, 773238494, 381458138, 383746535, 763613211, 520180524, 759567013, 634690389, 310172663, 935801492, 718550637, 553653134, 679350549, 852495699, 41625283, 641814388, 926957733, 881838740, 456547302, 13397495, 520292443, 65317694, 771970046, 854120390, 901903908, 117623581, 278439108, 113587513, 270953501, 993171619, 938482350, 522051783, 268924967, 881206070, 212788268, 623853297, 798079608, 728905124, 966867770, 653712715, 615806065, 795651943, 118287697, 920052531, 261273994, 62091991, 547548347, 489998096, 171901713, 772342113, 959901414, 901273571, 349719849, 219990792, 700707398, 996236165, 278344350, 491780541, 728016075, 427521596, 324362233, 917926331, 258085224, 159942096, 802550481, 825716105, 84910421, 122441817, 436090365, 83166638, 749019528, 573553918, 104419005, 75025930, 694761218, 966965884, 387883452, 167311476, 811897347, 319129981, 984641182, 907021698, 776076407, 197537342, 978090576, 761447549, 425576184, 474092657, 655468963, 896711906, 31572034, 684794344, 632421372, 463116386, 878904101, 635188937, 341867016, 856540560, 610488376, 983768268, 16263096, 259694215, 177833665, 284935782, 829415587, 319451168, 569073678, 653188276, 351101504, 853253948, 173822252, 528072849, 889902390, 448101099, 489777915, 840481977, 630598964, 710639273, 195123964, 463275876, 491155533, 803125050, 220326319, 653309921, 368398013, 68486994, 827128292, 637608161, 717465097, 528303845, 268174628, 444799650, 931161428, 263008556, 825347740, 551567512, 121983096, 671589573, 661147931, 812070403, 391623281, 736832370, 424696971, 781827588, 566216038, 381402339, 662993172, 929685843, 192627161, 701703925, 287745536, 945450170, 102258012, 255829065, 7084213, 746777427, 549739978, 180187950, 816845704, 687294428, 888707155, 142588470, 762783366, 533326098, 478013756, 60939317, 662187761, 862426588, 466826249, 307450041, 621348185, 666156624, 711982210, 803667115, 667661955, 407380441, 319134879, 262803522, 779292048, 691414739, 453795529, 185183224, 954267798, 50548190, 584015291, 980969230, 400542442, 325597488, 935642100, 675168157, 404704446, 288388001, 631686508, 938695631, 389010170, 391489883, 726728299, 592216716, 537965094, 58586436, 388157076, 634544736, 181304873, 866828587, 249847758, 322858583, 133386536, 252633891, 848677142, 521699944, 588341256, 543261652, 979056079, 455508066, 361097841, 216635854, 320874688, 564222478, 552897293, 419515191, 125672440, 872206381, 759851135, 354306216, 597501212, 895767051, 529930455, 743338121, 673362889, 375021403, 48536164, 141462549, 85045283, 884590894, 834559591, 338082654, 891070452, 916638082, 951407365, 797181877, 225226424, 439434542, 591932327, 325814969, 906667475, 923862233, 573714027, 731389616, 573886343, 594446920, 224856828, 400736358, 791856085, 278035343, 459227454, 792371041, 471789939, 110992585, 154047603, 508003729, 250813748, 964103054, 863137741, 33324003, 571348238, 467501696, 202586164, 758804365, 82508570, 417390468, 842610768, 623781048, 360302682, 842161036, 597570129, 40027034, 860727515, 76857568, 754751043, 219115752, 901365375, 947402163, 737369877, 401992442, 229228894, 597137333, 931688386, 49622922, 731847144, 207783437, 243080504, 439566037, 784821628, 109312345, 558772056, 670651134, 589921723, 22254415, 741268607, 825859882, 772662894, 596909991, 458658915, 818481332, 830802216, 792698265, 591132472, 599734235, 399880373, 895355031, 656516135, 446936339, 169353727, 221224938, 869146455, 902468500, 870981528, 110409262, 236476847, 262526291, 425101717, 991118799, 913362798, 815818651, 236952133, 988782751, 812824170, 134394647, 745971341, 819239796, 916874668, 854451534, 906936027, 610941815, 517493644, 120798904, 95089714, 78799980, 698210024, 574110888, 242834266, 225748191, 254466190, 599460372, 824037415, 129714838, 847462667, 502040870, 72019134, 210079352, 165059810, 876762586, 162042041, 793366073, 966247512, 692893842, 451893178, 122182544, 287677080, 580883055, 196477145, 439112237, 173659486, 415086380, 205220987, 112647149, 565031370, 223629393, 841097069, 432554640, 183807016, 268259717, 571117268, 812545508, 437380639, 903547263, 783985768, 942794899, 160694689, 897207651, 876265941, 301848581, 255264567, 335584090, 655852543, 688162120, 18306602, 568075118, 616930726, 485550977, 425585628, 275470197, 913879936, 435972471, 159983293, 533340679, 729496771, 458057177, 576671402, 247562747, 824210776, 408473047, 658948385, 707039292, 367979994, 952177254, 757249518, 420237467, 445927227, 325705065, 733934771, 835100696, 827273144, 303668891, 392461534, 505284772, 242700137, 226138503, 767463947, 949457019, 920563077, 883719131, 362525556, 375621650, 933735471, 149734053, 665079249, 882328189, 71246179, 164006904, 270767265, 535370908, 550191323, 729885278, 557141923, 792593163, 805290206, 403226271, 23108664, 785677141, 844280792, 363960080, 75847140, 612557903, 815290982, 262430372, 287784928, 888532659, 287191639, 790988975, 709363160, 283304652, 307957217, 453694100, 184872300, 49855762, 908429056, 447514682, 611037119, 827737832, 114528571, 706407670, 710655675, 802588033, 142673907, 379498106, 729083146, 790093890, 728623439, 363730713, 423684512, 171763897, 656840705, 600729280, 901426624, 359698296, 150726857, 726685229, 475205746, 38484880, 179917831, 543975251, 688207973, 36313145, 652600748, 51819706, 995820544, 368844646, 350843564, 576253806, 633899454, 586668023, 412665036, 808026104, 919635248, 894843830, 85152845, 821558769, 876755084, 790674639, 430171016, 790037234, 743229417, 575340275, 312358401, 893655508, 671335731, 939662597, 348539828, 387611530, 88454237, 936164136, 879515170, 63965561, 741415701, 44280574, 545580662, 203641733, 394928252, 49421583, 763411654, 521799677, 171393491, 686139749, 208953092, 158083865, 104221217, 868004691, 192154689, 222063632, 697879610, 576095039, 191550054, 909872831, 873255000, 683790670, 167536497, 545085508, 984763988, 121030243, 301674566, 223115685, 328452844, 527723331, 774593755, 311253153, 674289385, 720231876, 63321085, 612595161, 130286667, 806989113, 556443607, 817211446, 72220580, 520755524, 378319988, 372159221, 235378434, 478738937, 397284608, 845432315, 470635937, 489273239, 453012727, 401907922, 921690863, 839158900, 943065254, 781063736, 563563585, 224945383, 322268329, 242504650, 275517228, 270547948, 421911587, 767684920, 471525355, 837752351, 666262379, 832700365, 376200079, 679571707, 753931353, 346912442, 385949162, 534056337, 712333120, 933092909, 835758701, 932508884, 112983277, 88794717, 964026498, 328655242, 285410454, 294776892, 202003380, 176088957, 766926270, 711474037, 244916578, 533225397, 842931038, 649309118, 693142946, 471745433, 379887345, 531102516, 919623947, 879631971, 997438016, 157906821, 625439833, 448718219, 13683975, 414344707, 23589681, 475146074, 199217227, 788627261, 600784885, 177430038, 595320824, 975553306, 124989643, 867691499, 650140017, 629582961, 738130161, 825121572, 590689557, 121458764, 258219544, 354890347, 290241887, 3138117, 337130538, 19451890, 576299177, 368399207, 738615294, 471384283, 956444558, 380686898, 11977038, 262543578, 418318124, 781964223, 629933779, 543544763, 38975439, 746014229, 724057664, 832235415, 895853974, 76565648, 718049671, 433898898, 645706164, 532431891, 28274948, 876549332, 36252375, 584045688, 510345333, 175810628, 256726802, 796815549, 121822906, 11274347, 781838977, 55621720, 824912596, 786604426, 797891516, 222245143, 720203127, 831337905, 509653659, 565854320, 185788683, 386906924, 282826983, 851027280, 218727515, 197675225, 594819179, 851649835, 16495202, 785025364, 131598987, 301333809, 102017050, 64051170, 144890800, 890727031, 682127258, 184742615, 56982910, 616827047, 853119399, 345538431, 291347702, 894283924, 652034538, 747208012, 15624009, 125752169, 739953843, 345231844, 344520022, 874773586, 459676952, 662851448, 873339592, 852381733, 444891814, 680682145, 406318085, 395495536, 606325604, 524303837, 560503643, 484215281, 882742965, 666637562, 919962134, 80793925, 82334712, 320954554, 527440876, 728987451, 279804612, 885541843, 271724015, 436504359, 497927961, 831838451, 547512111, 599063249, 487312450, 861051116, 463268542, 996461453, 325124005, 501773635, 76722283, 340444839, 606528514, 931197942, 711521557, 630653238, 126539963, 469650694, 945445627, 320035575, 425925332, 974369893, 646309468, 780207211, 888904107, 454218914, 437377026, 493158433, 36092513, 203429830, 599620780, 720818713, 377414251, 649305598, 841605345, 838353421, 359036333, 821959276, 12955601, 536792759, 951245309, 531945672, 729802359, 794472730, 25335565, 384893628, 262310254, 178458304, 978420882, 27489735, 191721741, 696201622, 194688465, 901057268, 274766244, 39851636, 255066715, 317286431, 412001350, 563575169, 594006816, 864622826, 777891598, 355937196, 768261056, 956465993, 573578026, 134954098, 407033878, 367544548, 323785844, 966383661, 456492882, 926040870, 266950291, 935865430, 568612772, 813707782, 640256330, 440051143, 521721007, 781954796, 819425596, 835874200, 51940350, 623809231, 121347887, 111813647, 76001019, 536716255, 444323693, 646610971, 836568729, 631301826, 23998532, 16440822, 903832297, 414869840, 991768258, 285966840, 996757943, 951218600, 613032314, 353050737, 85462660, 412787115, 908033047, 710316452, 330655209, 683873045, 722753185, 326646564, 468403006, 906602549, 457856828, 668508206, 26014085, 546050243, 233423601, 923924298, 805829845, 546670894, 231989978, 8711537, 147251693, 674683999, 389608510, 220715603, 837648626, 760386690, 660625349, 411410566, 450984772, 64514444, 468939755, 66577800, 944977182, 183875028, 699157303, 828678253, 727027552, 565007934, 969628529, 476115626, 989814368, 991051404, 731849295, 993944394, 878381490, 183984090, 410385222, 450223598, 411822393, 216965858, 137791210, 571991481, 708502855, 29089559, 403730235, 11986006, 501898830, 375785879, 841669744, 448083530, 131989282, 461238264, 516415421, 519460779, 887938980, 3495493, 598508651, 514407038, 701451757, 516835110, 105458796, 373705855, 162684286, 651715059, 934966223, 672370680, 764556048, 690185688, 67257161, 194541885, 610581021, 200051979, 921454650, 851787851, 181910320, 957010903, 188845968, 833531053, 268583857, 405455784, 908688542, 177273218, 546526975, 845638271, 591756491, 633815217, 178214016, 14265891, 645675617, 493404115, 625964556, 819798271, 147305242, 995041124, 418637714, 691123702, 311039906, 275129064, 298199244, 713832761, 455934675, 484423812, 217738686, 521348172, 865461581, 452931521, 694958785, 44748928, 216759046, 481993820, 856768390, 815443337, 68536034, 203817794, 736264225, 791839257, 63590536, 206857488, 544764877, 172743072, 319182166, 441052157, 462435620, 726817194, 489357249, 418502421, 839377398, 32587524, 702668383, 137877931, 64221325, 833038651, 662887587, 499835202, 428679150, 246794417, 84964988, 911083466, 572269010, 573118639, 412448643, 674435910, 267547738, 436841942, 609716018, 824615141, 543321984, 926191543, 370140913, 916060299, 110197790, 365926104, 211350324, 677109124, 776937691, 744476864, 774889902, 417047081, 256813403, 70398587, 904833308, 616581288, 303024991, 50178569, 788164336, 364188977, 688594852, 566925941, 29353042, 590958534, 841036030, 389522266, 252285036, 592069387, 762178817, 258416024, 199887122, 438043387, 123777593, 246668894, 248245465, 689113350, 86744162, 85589464, 823986334, 59408935, 105699441, 87800880, 72308138, 393846139, 420624912, 681292058, 438096673, 561906248, 565976040, 421431768, 994837910, 453728236, 101196084, 958882570, 52820605, 182668073, 638430450, 618828566, 399559015, 688191431, 390178168, 340003950, 476573910, 522574851, 836089563, 333074378, 324108492, 927235391, 500491144, 26744424, 612843701, 121319743, 45772115, 127290836, 818301469, 120010291, 217040351, 663734849, 400686147, 268249326, 569654444, 857825258, 598286490, 181022445, 553504842, 694120462, 292441257, 667967145, 726030183, 627684362, 696231028, 182838129, 239464817, 421077508, 497383119, 331610908, 549202390, 373211188, 62567231, 404926127, 487463714, 620440535, 82901602, 67256074, 596598392, 728218619, 26843579, 240656053, 572867631, 454273257, 216793540, 444326906, 212138938, 57504998, 811413926, 92661697, 457952632, 197075365, 273338380, 981537845, 916392440, 269095157, 623787382, 582957835, 922589129, 61928253, 41695983, 1114867, 250679260, 511779644, 730026107, 378077782, 172305200, 797307182, 523280129, 237726864, 387353154, 553585371, 492929990, 731747894, 863945582, 210451014, 787308760, 60781888, 367380687, 984946566, 171547266, 661907950, 671983401, 939820637, 156539808, 386740173, 957444264, 325857058, 375348966, 671100344, 421549191, 764640387, 875660594, 633106432, 865383519, 69362146, 719437548, 59701427, 822580802, 865717551, 925305673, 167146175, 256867287, 445669235, 145356981, 339576785, 934448516, 335618299, 91905052, 848074471, 697804651, 93273269, 790564224, 645372726, 802645298, 108382971, 155201146, 62607326, 602632386, 595402591, 135110497, 661706533, 230084566, 68450496, 961603770, 645923521, 968071887, 168494170, 556377909, 35768659, 214395511, 111483472, 527013130, 720750565, 619754423, 186741927, 832469848, 500835367, 387099367, 160572033, 830972679, 917589286, 485132922, 525669363, 146108926, 501200552, 848856070, 944911877, 41320991, 740802817, 34263051, 683537959, 758721221, 175349198, 896338757, 29542943, 698534678, 900489480, 867408787, 669852482, 981863278, 412765195, 809669110, 903236530, 311136801, 222469979, 435484726, 266583447, 599427229, 464835329, 529964144, 346530450, 714531073, 180766293, 272507684, 12326671, 628465850, 617929109, 323504512, 25151034, 877664480, 702805651, 798898175, 535037559, 24018663, 830235064, 538354595, 361428759, 901306445, 186889656, 4225109, 205807030, 167470521, 80476365, 828323175, 692448681, 642142864, 307814215, 588515187, 914011589, 738424462, 873661535, 627404931, 929041157, 290513802, 761568193, 10068165, 589697962, 645327983, 357162583, 838765122, 462917779, 755819420, 882971405, 438833273, 215252406, 947754772, 125007745, 51097910, 581049060, 174432706, 60075501, 617803332, 464634162, 53099501, 920456699, 154635616, 465764304, 160576355, 544991070, 186582452, 872094083, 324841651, 616155786, 629112067, 877637680, 94023552, 356049186, 451245670, 190790189, 605092789, 679701044, 974830731, 237255795, 338489080, 453242826, 594967835, 298531523, 912993547, 704987945, 830014409, 959237820, 459085732, 908445843, 807377552, 112789383, 163974574, 539558358, 645869, 750998792, 795475868, 981891869, 365954921, 880369623, 239145581, 243106408, 937791534, 46110232, 260625061, 361794224, 930746, 245122342, 441199986, 243894044, 678757670, 68586219, 750416153, 751141691, 329052903, 821860449, 829444684, 29693029, 688832897, 691139994, 347223014, 321793030, 514653202, 453022866, 210198295, 262685712, 324841065, 706988967, 129807372, 163422061, 393923969, 818896122, 624517716, 59543476, 739211050, 118838014, 162120268, 622846579, 125867963, 946202497, 183496950, 31822624, 86349448, 620634409, 772342210, 413854534, 153614782, 389676165, 782796790, 197730536, 937255679, 838792560, 67287703, 257415278, 756979081, 627457375, 505270324, 431700759, 830128922, 183669594, 445702379, 894305854, 366063645, 195167758, 70277643, 913662365, 134682345, 831620747, 580932227, 741465076, 229994073, 850804745, 723717532, 642975915, 120661234, 945710673, 108632737, 488793874, 643120305, 861092972, 765759497, 124103582, 920128940, 705375243, 920685752, 753535693, 932287984, 999102595, 954687811, 495407980, 792562047, 824515692, 526241887, 265163648, 612663937, 444786994, 554325704, 393591852, 821127317, 269053297, 365833617, 217320469, 567081368, 748909615, 412709665, 367092944, 998873345, 569835350, 591873895, 320539428, 12454483, 768030958, 272479635, 814672512, 667440675, 60545536, 917626764, 578864459, 432131283, 722760715, 908911502, 386289416, 230321430, 685723160, 455675853, 437956393, 263440707, 633473766, 840675659, 194529518, 355199194, 404396595, 3603788, 800809369, 508391764, 454563511, 508110572, 843014338, 811609364, 934810003, 177725969, 134707752, 344283825, 706085827, 449749696, 467644988, 716082576, 752597010, 7193781, 218523565, 164841658, 655831076, 769262783, 133194128, 795771984, 914223292, 617395297, 753186711, 488123938, 618343519, 528164610, 321548360, 720484468, 925709297, 874274609, 589732866, 25397614, 986913681, 625137847, 608564551, 893673748, 347484413, 379555863, 177553010, 911553260, 980874415, 113265970, 903262038, 149600616, 690992760, 152326329, 374428129, 850800373, 144085669, 917176218, 374902943, 62186563, 563968478, 4330611, 783591821, 931629303, 436163114, 364705501, 383699549, 602684152, 228294784, 997947927, 687390735, 86403932, 98334099, 177185374, 889652031, 217362800, 649662572, 641553204, 598660200, 404650098, 303319951, 251936194, 962426474, 396845082, 162343561, 180327436, 882460209, 252212540, 33829521, 639687879, 96724652, 922410073, 13628354, 667765117, 315921120, 890564693, 702631041, 319629722, 646512983, 224748565, 549115954, 99692988, 86630230, 289171046, 463986635, 723784171, 11259204, 358271790, 24407235, 879636298, 641248512, 688766517, 371100743, 751872178, 73944537, 928046837, 608167410, 710884031, 652016251, 987595300, 840420618, 658405832, 350381980, 369989755, 496368091, 318703417, 617461100, 678634988, 199360577, 960013572, 673454490, 875357169, 798494933, 295433961, 426809540, 676724444, 335746689, 669019441, 322346126, 414864531, 799753725, 278939891, 508133097, 423788982, 302314442, 722693003, 621964029, 675908443, 247956675, 245998457, 536814741, 913610629, 785983095, 410716879, 101798046, 291596284, 456638102, 513378448, 410535089, 795320033, 680786764, 664084541, 804285919, 569022641, 855669673, 399181849, 807078001, 227291187, 544922341, 3527604, 208852589, 397372278, 566624113, 216115979, 528444227, 536927586, 539594583, 678498118, 214991011, 819622142, 94131597, 257703788, 129180513, 162947759, 156607852, 631432639, 22634598, 279475231, 218668421, 646254675, 275687956, 536640694, 564137330, 263110389, 495342344, 737627840, 537865287, 352125309, 985867673, 419037676, 522886675, 621832378, 25593453, 752597712, 566402029, 925438872, 825690200, 817733707, 984717621, 166670242, 891719795, 232853254, 217693992, 75758252, 613727926, 990465848, 721473483, 56327740, 950678343, 977675639, 434207424, 691506444, 255850776, 508396534, 672311043, 705875280, 117690340, 756716768, 5316521, 433033595, 776976447, 809203818, 276176411, 886380803, 341583557, 388069919, 933581002, 852868788, 200257573, 801663182, 806063295, 225891685, 218688829, 503489218, 748806965, 22761385, 916319932, 612792397, 570189069, 919870057, 537691610, 261238715, 171963578, 235147452, 622094326, 833343137, 918544191, 300757201, 224132407, 657216833, 979346839, 729024682, 815608944, 250962493, 243796542, 398027520, 61940752, 650478887, 965018879, 254572269, 32721121, 326707981, 282632928, 413832830, 492469841, 966602313, 409503860, 872764787, 514267941, 841826792, 159939592, 171262920, 401251692, 2927120, 48966683, 129526315, 623142147, 738666031, 174804882, 64899612, 108936370, 597661636, 589851418, 127858515, 194069959, 304694501, 216939833, 139854844, 926971059, 276353220, 173945902, 771115242, 180066803, 535374189, 185969706, 50889914, 879123992, 365568257, 14674608, 3473797, 610478456, 333482726, 432014471, 1273434, 853082332, 322836879, 434896407, 611251700, 263092424, 502357838, 405224787, 437790842, 190499856, 145616760, 693454353, 732699847, 467828643, 47606982, 428044718, 411102847, 402602090, 982228787, 851909341, 242479192, 171590810, 303983445, 555338218, 447444989, 934103858, 97646685, 71888437, 130004725, 288092227, 967611541, 143011683, 645117147, 143218506, 978431691, 528229826, 342712351, 178109168, 429381945, 753284384, 92863914, 261886235, 623419893, 240237511, 900334790, 793758285, 457978620, 932142801, 762680086, 11987587, 512608877, 918950076, 259229468, 4269494, 18636948, 981401179, 610478119, 587584239, 521018094, 219918277, 16689753, 721388050, 71759491, 320593534, 741021241, 904612988, 671318205, 543258285, 391331653, 815172969, 472921113, 6346250, 678906254, 290864507, 407088931, 176655634, 914380929, 989063993, 625326351, 999322534, 196634858, 768110196, 512516311, 424034367, 168477118, 256112883, 14884490, 586866098, 687791858, 405865236, 375672305, 645886450, 648964249, 644570314, 570432063, 59969527, 751215459, 149942451, 900143297, 267946075, 79003680, 78954313, 851697499, 137511671, 621142115, 956995256, 219649249, 274497951, 111876437, 493186739, 739045751, 639994381, 795984602, 128249865, 386710230, 657936151, 424416886, 312772318, 389014079, 110640604, 525124576, 700984094, 358561022, 245819481, 573866636, 257871186, 960956923, 57505209, 577992488, 277420464, 308154006, 295640489, 510538676, 920942945, 199991785, 624153999, 676951952, 234694175, 340870474, 941035516, 12773744, 48633577, 923790333, 752525124, 805272461, 160782206, 394886702, 917887087, 63068328, 437845662, 236321443, 165195041, 387761917, 35198204, 168214652, 393934417, 546512767, 692332211, 97362754, 775684454, 659713849, 788558770, 163402131, 90240482, 432864080, 264632347, 991211129, 279488562, 358062039, 218893220, 779467430, 180284379, 902311527, 665882660, 620432408, 18369784, 760100541, 299054059, 432021504, 736340526, 871394383, 788191197, 880234839, 82036064, 705365916, 394490858, 862915693, 745709807, 701934306, 802081418, 889452076, 963389145, 754964647, 927895661, 165444774, 695416374, 946563794, 748314161, 662511605, 68350130, 897492627, 484873890, 572547657, 433591110, 537404517, 8930307, 343976210, 345027127, 239344496, 975080239, 909615971, 629921575, 869964224, 337428328, 823093952, 470413175, 527974137, 718395215, 662563287, 533656378, 542646973, 802527755, 512437800, 7370941, 261042907, 653417425, 977352864, 863707948, 328621446, 142179202, 740483938, 510524022, 797405983, 363586804, 431824906, 685147701, 205538480, 452504197, 809152966, 646251349, 727154603, 519547909, 715081597, 276967386, 50967279, 978373903, 219779023, 729561001, 85869024, 794952971, 269026989, 523998565, 519637660, 663291263, 521052753, 973690533, 925467424, 156130575, 155729748, 501194945, 761710471, 490306437, 482375260, 341733568, 693700167, 725031766, 676978737, 269850694, 816961906, 934893082, 122337432, 469953132, 775097950, 561440860, 58846075, 706282037, 90850140, 917133798, 109777365, 901974525, 490546893, 653213923, 901851481, 867767630, 272368428, 126231383, 465644620, 913062305, 941917230, 813578086, 273255769, 582694848, 192332629, 344819683, 250525282, 579009455, 430937118, 517163278, 190041094, 461307340, 787521347, 585137159, 102974346, 143318033, 894969852, 61658639, 818092790, 876268755, 44451576, 559789603, 630559381, 37617890, 356177275, 841647678, 904450401, 931163947, 831620571, 885112093, 92193298, 500969105, 487642887, 427538956, 540751137, 294075643, 771338686, 311351767, 870485136, 641027057, 532279596, 695908849, 778194104, 667095749, 77535491, 207104965, 209443874, 30031781, 717760350, 609373516, 353286757, 723191694, 146260469, 489347857, 899936, 213638022, 985606489, 329189595, 820837652, 432651145, 939872314, 759419820, 88287126, 956966224, 394486643, 241428064, 725317802, 486194627, 835910089, 8680988, 182249958, 358961540, 708956045, 790215528, 879554115, 578400923, 44210669, 582796462, 165248660, 713817131, 220960570, 553315157, 757658885, 982213327, 393312568, 242310564, 795132158, 748349050, 697538798, 239949498, 160232751, 734781060, 556810288, 829257072, 687299714, 683957020, 989129975, 398165312, 389734499, 19745136, 658684268, 98406648, 392316027, 751727186, 539789671, 867754015, 136338178, 45098410, 493919460, 880412635, 908839631, 68541610, 850829588, 161979687, 559607904, 903921977, 345088433, 282248290, 471747905, 259658888, 520220622, 981066934, 209079755, 112504652, 16093788, 979256450, 356885980, 426828204, 802465207, 870847467, 934419962, 29420639, 290873438, 146456116, 887464171, 357931820, 566193341, 617575147, 393824865, 21751288, 227814911, 858772843, 621356981, 684219472, 713786108, 901731410, 452251047, 174504418, 541341339, 886326836, 200861074, 506473117, 162100235, 308738157, 88491141, 330288708, 206700698, 303912371, 405859863, 110695475, 220420623, 295253393, 44617701, 658202902, 332688958, 158248932, 643817926, 514380239, 17642907, 226569319, 248808722, 4124113, 606501387, 151576188, 110968338, 794130320, 705786921, 560128040, 696165693, 432481241, 492208462, 751204449, 283988997, 434542204, 824897372, 250578730, 527863486, 915661097, 71820798, 790170193, 111157730, 985009033, 668875383, 816009052, 734711662, 894920468, 280606616, 662480191, 108971381, 477136419, 551371481, 22980783, 806162148, 291496873, 431101647, 731808966, 507910995, 717343915, 915495267, 347590091, 753239236, 852607987, 930382917, 556861755, 270278658, 640230343, 744474751, 362002120, 46813151, 489175389, 156539550, 814085263, 31289123, 53845746, 553318934, 487255480, 635412403, 834325433, 958515807, 797397503, 102484201, 709357917, 691127437, 481405393, 660874147, 181971204, 720766279, 547917393, 924722500, 338545716, 890200052, 745798892, 145183727, 692383843, 893069267, 698884197, 995864521, 595393825, 602740342, 799091808, 814885145, 719603689, 284750790, 284560647, 798144898, 998847655, 919751540, 428391078, 187937562, 476646851, 377478797, 797943658, 483199957, 815000823, 97680774, 84777375, 924293932, 735115891, 29944539, 235831710, 690854673, 70883147, 844039430, 693849277, 369194790, 98222089, 542812568, 443981270, 576327902, 987103331, 79889479, 817090697, 74869731, 771210110, 600299850, 158237037, 566783777, 782121298, 633219692, 535423546, 781142942, 603777085, 378237354, 236084850, 655674055, 477570880, 187522789, 481505989, 389338535, 960280140, 142704753, 960928171, 804437123, 710201614, 612319618, 948766922, 959482242, 410649151, 62677912, 916145054, 131107891, 550989602, 751847784, 980476045, 588406680, 771975257, 51516379, 110374575, 29796756, 752719837, 620818363, 149645833, 712385518, 734374589, 154228, 691766016, 407967856, 989534103, 112015936, 317787084, 213668328, 528304764, 912369352, 450416891, 73237672, 497999433, 285869714, 897823087, 365293092, 618151015, 915128625, 951268164, 729977529, 610300570, 61817493, 610449571, 341210808, 29026066, 133893314, 212617928, 499188278, 255034836, 784790342, 338056706, 831471416, 936766645, 732606666, 20561275, 462335191, 816521638, 934357535, 154494685, 109014898, 992035603, 379844626, 684996526, 162190368, 814986370, 974285818, 804869099, 300770244, 137036807, 36592889, 857838530, 132889382, 926950932, 746175844, 217200532, 316892416, 49782444, 302282227, 613042195, 28496260, 214762473, 885230168, 816807074, 405808959, 157414329, 341488105, 548884258, 285483144, 736155324, 684481648, 319929474, 409387402, 737590923, 985830449, 848501316, 446096411, 552966811, 678840044, 669050279, 551901504, 205786073, 196618259, 176636942, 64283667, 291979430, 527758619, 332414897, 560470591, 123906693, 130361720, 953515452, 267628549, 113489800, 919535088, 586980595, 111045194, 179781887, 340790953, 127872355, 653858543, 485846402, 917483202, 723961850, 981452188, 466423071, 350498850, 39024715, 692570938, 6421070, 380511146, 250526615, 543577881, 138340191, 861355661, 355836973, 987461650, 556377086, 622740481, 648134713, 69921183, 739905578, 514977629, 871104676, 338943882, 891717901, 61681643, 553853336, 243078959, 978254674, 524720642, 308278551, 678520102, 679267389, 883891132, 994615313, 806124273, 458704280, 904074633, 699538884, 112053654, 93284301, 494983522, 665090215, 407705760, 220297722, 463165083, 706740681, 305964200, 506922142, 473986433, 435940295, 562540029, 497304976, 199614342, 601097331, 711766882, 193354742, 286556941, 380065048, 116809947, 946877957, 922925297, 161995026, 979490645, 408025462, 443907526, 124791822, 555842940, 694444830, 165974034, 254329926, 694157796, 321072914, 303257810, 607850625, 293479650, 207159196, 8844942, 473243276, 200212675, 553433213, 467995270, 406551106, 591413581, 188758696, 292974147, 976609005, 899474705, 563415042, 743412878, 48042526, 283939402, 372881731, 30005193, 938980886, 710844446, 105911973, 557997745, 877037539, 221599604, 468920766, 413082035, 664540390, 219039214, 497598926, 551886739, 139162884, 175001223, 580159459, 993804215, 693907540, 525284365, 614242397, 927787322, 766684546, 693465654, 402909214, 722308345, 416161814, 927929439, 234847340, 343289645, 908447085, 929694207, 748061288, 313072740, 761612202, 962348712, 684075467, 693893100, 189205540, 280479043, 316020210, 329353986, 890910405, 848165342, 929406598, 463478918, 236453784, 358843861, 599491348, 255188989, 853179461, 341528402, 117021475, 773947, 843733239, 495899666, 149009053, 582112091, 755255812, 65757627, 344054015, 131515808, 294763359, 208406902, 189078186, 149022417, 33401137, 895558564, 768231214, 382313749, 201492614, 951380466, 455759976, 264987901, 142690027, 442263076, 486671884, 444509090, 532975145, 44624264, 464693039, 31047841, 122089415, 459368458, 836762436, 819875814, 790302793, 891237782, 368140488, 165292350, 641222235, 466855335, 459495729, 651965948, 452004212, 593568153, 900335213, 215116167, 687740103, 906600359, 131906032, 743592410, 264488455, 895823837, 549112711, 56013899, 557661217, 452711924, 410608149, 505445269, 114160595, 358114158, 866665195, 65794416, 868760061, 965513848, 176012509, 114934047, 89304557, 830240927, 384742355, 309685530, 669270407, 910197771, 403556928, 208994172, 377930073, 647215512, 452729770, 543143182, 36803039, 789024889, 435906055, 29897488, 341595483, 624864792, 113207937, 352519706, 40574513, 872111443, 480677815, 65605089, 803635431, 298368573, 8343622, 725978615, 848226008, 934361278, 838751453, 695832720, 921134643, 431654234, 365161861, 885275213, 595056554, 954961288, 79085120, 344958830, 238963093, 334950351, 746306386, 307177173, 4525885, 856184585, 120471873, 941156496, 780328777, 869031764, 749324491, 858349244, 264320346, 322310240, 480817522, 578673988, 409187713, 942842940, 898543933, 245509458, 735700160, 716627428, 50824273, 131202497, 583148640, 630688290, 150450022, 823484729, 865867060, 247329511, 338175880, 736824598, 545222005, 163453148, 227443968, 333225881, 10310701, 61841256, 251614574, 395837721, 881522653, 476682710, 602494623, 975260190, 539932691, 730647053, 799135513, 781785282, 590756360, 194554281, 86434605, 641996355, 153578299, 789872657, 62176256, 368843314, 858407102, 536025310, 228071265, 282028783, 934609893, 228304583, 309851224, 471102166, 174284324, 68698420, 191358955, 385351717, 887632298, 497501717, 140748849, 565643238, 507398760, 470246012, 202282303, 71043943, 385520149, 835508118, 867266438, 949364292, 378290368, 794079736, 878824091, 494143768, 542509940, 55566299, 385422282, 996666740, 927234935, 990292582, 356591064, 366914656, 589672311, 835938191, 746829320, 816003570, 78683348, 249622411, 754148756, 732053972, 115755970, 196205155, 949219818, 965250954, 760501045, 167268579, 281921423, 693285590, 223561476, 205169032, 602764607, 399301363, 84269072, 861558881, 275676003, 352666739, 717050253, 888573667, 600442012, 313216662, 542722452, 289561282, 819282488, 815487819, 532719937, 480526859, 422053238, 732108210, 88405093, 422242743, 825873406, 838299645, 300555273, 86822582, 256591185, 419876159, 121959856, 426838771, 947848861, 172386262, 355559811, 854881314, 91640570, 586567231, 897084998, 723159500, 692237737, 109126179, 149178613, 180290885, 860816149, 138598876, 285972095, 957320714, 555036267, 260268207, 996207092, 438829457, 943469715, 225580091, 96523748, 162029198, 830617734, 640494464, 5706511, 16206384, 23280246, 108795954, 483238413, 45159600, 918476740, 782143001, 514873613, 782806265, 461666479, 958342177, 118681107, 855573603, 581781639, 174326156, 211285154, 570481437, 549801734, 651872294, 837243181, 361033419, 820712414, 803099515, 836715691, 230721231, 308528289, 978854535, 807434316, 66734947, 415207902, 82369553, 853054472, 591543910, 168295747, 320671660, 889878421, 855613296, 797116719, 726287729, 674142662, 53145704, 863716812, 997826995, 243547734, 827564013, 103628398, 317559969, 26025272, 856562893, 958779856, 345759705, 387359493, 725909164, 518974626, 308400085, 169691165, 840322433, 605404289, 121046524, 779414092, 368708983, 99769095, 287951829, 712313285, 628771854, 954344494, 199189490, 882758878, 282881422, 252875967, 311262976, 191118247, 800154145, 143111007, 818861319, 917369068, 266183317, 180820631, 760985262, 993756274, 760661057, 467293171, 542387065, 183257760, 971411539, 805203055, 808927747, 442949441, 950362157, 93296917, 949924395, 427525949, 685367332, 22399081, 521689100, 275625204, 478907402, 7606173, 157799554, 271008731, 804029538, 574826379, 280765977, 52566813, 102735920, 163342223, 668309017, 54433149, 900712398, 572778022, 473590410, 688463632, 433212947, 410411794, 609215475, 108349721, 707977132, 476680152, 836217046, 79428900, 161827619, 825941008, 833026936, 511948086, 498708358, 976644509, 968337522, 673415556, 558012830, 552011674, 744163321, 196899909, 598762724, 475932421, 495708404, 52631053, 654414775, 755024116, 985591367, 603176313, 789636669, 948000408, 193545235, 932073542, 98652849, 397680524, 553285259, 511995680, 921174587, 32907144, 994448014, 925783852, 434098669, 178338428, 80441921, 236119127, 678141159, 980761279, 338481519, 970300193, 183232381, 752524693, 47858268, 363205951, 41659802, 230687703, 282857444, 335729628, 427501640, 653305194, 505574468, 147577837, 32062532, 986391603, 326110471, 450649471, 282615194, 174492105, 229786153, 227345651, 974142529, 634630325, 730106725, 690489483, 29105196, 630958759, 39711772, 357284800, 535726471, 738205494, 623214106, 399998268, 638391304, 578076359, 324714283, 749838562, 759579721, 674929218, 437970607, 564795138, 230363780, 906940654, 423254862, 624511868, 870013876, 993968881, 967711320, 901392007, 957714744, 166260833, 913972088, 321728888, 545902993, 638674772, 924039574, 468469620, 936865751, 586413457, 994414840, 108567782, 95883563, 615478462, 873779928, 310766067, 754970061, 738633888, 220934679, 175021908, 398771086, 102209725, 634526549, 810051284, 507869345, 16858275, 382853483, 613566058, 92090652, 399708602, 784045261, 870549240, 90923564, 156750032, 603356992, 132984417, 565748942, 542338527, 288343661, 980936041, 844619705, 758723556, 339247193, 667345025, 507426094, 869101398, 404868131, 677526796, 725416468, 539125982, 188759187, 388046890, 350981878, 293509962, 797028375, 964454717, 867475818, 372988816, 508318785, 292682818, 268669537, 67108171, 852723467, 406759916, 767846179, 81919582, 601391241, 627329724, 980061401, 825673593, 706113417, 66264735, 723975422, 843390317, 668568376, 182779702, 541448239, 833786823, 347739122, 688638821, 880645407, 917574760, 906346305, 868138, 478754136, 42406185, 590186248, 730573708, 280942181, 208903918, 658236979, 998136625, 739597657, 788028501, 156241864, 792161429, 127708520, 271572389, 166084609, 382588377, 796552571, 727101065, 650373757, 422239303, 96761991, 153707037, 261125093, 906169327, 167743659, 340061944, 849673655, 147741599, 434281233, 261745985, 796220828, 206283607, 652510040, 535620442, 332739751, 444188510, 436851724, 496095046, 314180501, 120843378, 454921126, 123902417, 88890785, 319231762, 518958171, 631399543, 953623556, 655266470, 5448729, 649532546, 992884196, 998977721, 821259063, 905161708, 600938960, 366782075, 279229090, 933593835, 787261932, 891546901, 51482243, 835234209, 434764920, 674879843, 884017755, 687149907, 637366144, 301608849, 368748501, 112439951, 878924957, 830811186, 524261965, 905878986, 863044436, 91510487, 784139595, 850238906, 575186122, 392245613, 234155669, 113915905, 340851284, 144509912, 893064706, 51515140, 753866714, 247446570, 81234483, 964115931, 749074871, 657354216, 239226087, 262706918, 155039260, 227689698, 372426355, 797947039, 692707184, 279969831, 337910323, 21663850, 597587869, 555768279, 363340467, 396809600, 562676737, 442905554, 549987570, 956422887, 113542963, 922456248, 177455939, 345340143, 933105720, 210323177, 61441534, 706227319, 288427178, 562190330, 114088060, 866889622, 326801254, 144263634, 825325731, 879378382, 784319952, 362943412, 594476147, 790867177, 481931750, 31691194, 564931147, 1508258, 959131112, 756846096, 586889065, 273244603, 993826396, 926509266, 845094966, 276701431, 492474939, 926031586, 924842374, 285320568, 40331645, 206638165, 906828359, 471471790, 432966233, 562072808, 127551705, 219645077, 714288733, 942536415, 824127986, 907649246, 768815283, 283917909, 41221942, 861794227, 644561919, 537890237, 937134856, 971974566, 803066150, 369071167, 490461198, 265071386, 904163508, 814675247, 435107427, 803697387, 599487352, 880170510, 94803834, 159642681, 434198248, 3401228, 238663796, 447884074, 805262191, 65392435, 189295756, 692791808, 526055458, 962433690, 952196849, 1675302, 483120183, 452451483, 46164348, 750551604, 427524609, 783152072, 754455385, 858845175, 385726403, 191965142, 152123518, 990636071, 538328968, 47494598, 867502707, 496226511, 513023584, 743349545, 190024334, 520604629, 52117516, 949761968, 57681039, 54760992, 221357085, 68582734, 714694109, 286983687, 920279371, 667969047, 564677047, 952449845, 174213211, 14846302, 212111706, 655056758, 406829841, 739007944, 215758154, 162776217, 51297932, 564512516, 152357581, 46526581, 2306931, 537926235, 510826353, 947948449, 581757813, 80281424, 285068739, 726077597, 898075151, 75967339, 353669347, 821957271, 267532488, 777148657, 300424507, 120075797, 526365204, 224804874, 292931374, 429710185, 403571069, 355817402, 673695938, 886915227, 740318853, 203674484, 697233329, 914507921, 762846838, 483732671, 655752867, 343397312, 158883669, 399996953, 375143506, 685084644, 185027350, 853434550, 493596582, 736924964, 525355119, 868659443, 55914753, 145609268, 405164251, 337952696, 535615087, 717645666, 559904985, 669575872, 348949315, 419536870, 540874802, 638369402, 921986548, 561017311, 539392464, 585749131, 23616794, 571120155, 825905961, 846402600, 732910926, 788523590, 880175704, 901689774, 301433574, 14785792, 21839190, 895978755, 389018525, 775520521, 479684720, 412066529, 515224745, 919090512, 774518890, 947706318, 280967086, 897476239, 22756859, 59639791, 311308044, 790724392, 194915554, 131713616, 897747748, 172238490, 115601461, 935709744, 652714569, 860277715, 772561136, 731173612, 415333673, 792237954, 490429753, 379024778, 944705984, 300987292, 734404783, 679327553, 800469200, 596427174, 275596343, 931167700, 254589990, 554991586, 964940592, 190461758, 252034606, 266721894, 435635966, 868070939, 567075788, 474761885, 143395409, 114792214, 644688620, 707677943, 181694865, 788536600, 95369055, 939474991, 653613656, 450713008, 735389019, 428775457, 737826517, 977161649, 120193551, 124473814, 496197017, 316476312, 55317515, 763465291, 746271880, 989002864, 504160950, 656673795, 523902983, 163283641, 914573300, 279606846, 412345523, 749450610, 501354181, 562080993, 772080524, 861783747, 627999843, 999341575, 811163238, 856112445, 505787615, 69437479, 864850036, 269883948, 650915490, 178531760, 937501219, 784771570, 786304796, 306040005, 277614909, 162659272, 179290339, 387711436, 887618981, 804611884, 930750221, 763024974, 739767687, 880171462, 361412073, 99264565, 458232747, 582602362, 912750982, 567516444, 82078757, 780059042, 646839977, 977461642, 651155274, 934164143, 123145697, 125010521, 106097306, 5803436, 579826281, 36000236, 64076061, 20625908, 86017058, 441525824, 333092927, 135556128, 283116378, 488002015, 313621061, 399686117, 495479462, 769233686, 807619580, 955449456, 329377846, 574523104, 447543881, 74234038, 711305411, 15844523, 324079597, 783214925, 788133501, 443601857, 403755704, 924397740, 602431031, 790174109, 7043080, 112583026, 967269030, 938003268, 974578773, 165684293, 668856220, 244050278, 780626326, 59914606, 515576350, 234609617, 958618530, 273335615, 701571291, 708027798, 777170804, 184204076, 761514232, 543495510, 307475293, 595557569, 385002705, 14895380, 54784530, 435487374, 213772115, 490940622, 77557279, 561549751, 180585793, 420749726, 571457192, 494072454, 837710340, 716136464, 168706977, 413366246, 845887765, 411660277, 400562906, 432516047, 402339325, 445785363, 160938921, 714059335, 404940900, 908979881, 541672358, 876760536, 169993925, 572214784, 778877928, 77779566, 74050616, 799625413, 710457488, 758485191, 905988748, 17638419, 308101692, 99738246, 848100917, 589127479, 707165202, 341120450, 17551556, 769480003, 114931698, 875344010, 319176392, 790225158, 317843559, 353149070, 717243402, 807188246, 167516670, 769160180, 610507581, 112892413, 673053471, 491268887, 172091785, 389577002, 657428820, 518818174, 780990383, 977514522, 348583532, 503351856, 619669037, 677089159, 341387962, 508516288, 27165435, 299078861, 213723549, 667188790, 628443262, 959652828, 506933459, 52347692, 437031417, 656202604, 175693573, 311881057, 617632023, 634127924, 834748292, 660471901, 471786792, 284258050, 773806564, 513611234, 565975063, 139515243, 449558474, 213375673, 893563392, 86264932, 642828816, 713448297, 940348394, 845707020, 57929344, 632513704, 207179914, 99795608, 637997990, 467380123, 305253348, 733514931, 783283452, 402191561, 736881270, 37585624, 759373286, 487448494, 450251289, 841059365, 762176431, 804447567, 200408873, 369833570, 39646408, 753847606, 111897863, 342461601, 857288833, 814828202, 391082561, 916939452, 119791666, 306458035, 67762415, 674181422, 48648245, 810767517, 541757133, 537550584, 136630746, 513210788, 889423235, 136671179, 439481334, 548184015, 302057588, 322775071, 47625018, 609906767, 485853760, 475266518, 912023262, 607388616, 349103216, 829335055, 495128455, 915403487, 869184519, 826237033, 925910115, 435211711, 77077300, 109182301, 232952259, 356809569, 535082041, 572320928, 55670656, 63414766, 560343986, 878543345, 549485766, 60881599, 424632309, 698468420, 549091633, 928813281, 26500094, 847746861, 753241385, 133468635, 701130501, 316283538, 82810679, 496540964, 417786221, 910104475, 635058301, 721831621, 944675596, 145067363, 431521462, 685193979, 602963035, 438647391, 109591753, 40047468, 17209805, 736391535, 737159606, 97937783, 644328110, 289647387, 337558637, 170552556, 476779108, 670597770, 817264256, 985353776, 411540904, 316373900, 736271874, 771501127, 546495615, 493876034, 913203497, 985834074, 354536155, 515241670, 789539917, 945845829, 721094171, 457634040, 899723858, 900190043, 752109367, 344635047, 570546316, 873645155, 797314644, 755769652, 665950869, 500157456, 811237286, 765356810, 738270361, 329389284, 602469432, 646550924, 546034652, 148706720, 825559690, 811746500, 655972356, 948826525, 800664670, 202290568, 527892887, 128650998, 740983728, 470387561, 927206458, 839816862, 64769991, 59662812, 583375164, 118391793, 137094089, 751221012, 94355399, 784013981, 733816674, 278291099, 396611264, 233882905, 319508050, 462150424, 70613295, 735004024, 591228366, 404070486, 148562952, 931487529, 680593895, 162662371, 177338255, 974634915, 915978223, 188665460, 706389032, 395481659, 657001109, 269975361, 183276976, 877926391, 899125169, 425664136, 502233650, 536931313, 790414953, 346230723, 274060232, 899628521, 352615783, 839924848, 700482312, 247887825, 549952663, 755600974, 81188258, 481038542, 632028794, 198942311, 635807794, 259770733, 962495078, 88614682, 318880759, 623447584, 171772843, 852777898, 939937078, 321970458, 867351624, 167482500, 759083847, 193253172, 318366299, 604053306, 521879926, 352523891, 597478576, 220248421, 660291843, 888274232, 755733440, 992848583, 773545491, 847413005, 279202736, 803255349, 204243250, 660944089, 952543146, 824647228, 203222185, 313362920, 921152630, 221019294, 549745221, 955888947, 574922025, 678689488, 74457185, 519751581, 601783982, 956226137, 615948638, 488401425, 287844093, 616759291, 563656246, 515512172, 627825504, 83038576, 277959017, 706840469, 155174544, 818153946, 327080906, 625379013, 556875469, 373842649, 164447665, 504406332, 789528619, 942725113, 252321503, 824767563, 144652678, 645699473, 666347855, 863384190, 228124495, 330723015, 727798509, 679790075, 567772550, 805858102, 343170601, 64421191, 542689502, 26063965, 576754242, 816906564, 594313988, 456792518, 444275520, 278824495, 65325183, 923585796, 861530044, 72613209, 544448645, 234832191, 824846013, 967029159, 500497417, 942105312, 949255552, 908968639, 806901981, 904108895, 819290174, 689264075, 891390605, 433290835, 443119529, 295111558, 438264238, 72830132, 766105406, 263631974, 377354203, 991714390, 451013641, 158491845, 206034535, 111587260, 883972774, 458289308, 308609697, 823738431, 869727012, 272340488, 198357554, 5980570, 850344160, 795086207, 258707600, 301455313, 973557234, 861692037, 894405674, 954049658, 929429474, 38731687, 336023314, 141534674, 853155698, 925153299, 275276108, 966307032, 181301902, 341553668, 316427922, 670182931, 787849699, 627877032, 19844131, 733839435, 608112335, 240206095, 989855028, 74494524, 341822488, 831759251, 955146985, 261047742, 612071964, 637861469, 706390395, 206559492, 284032844, 579310975, 631717079, 193616295, 112002695, 387329814, 470724520, 861854410, 519753971, 774123835, 837847338, 268474108, 975529413, 175914920, 803896265, 913372284, 807771863, 834146326, 687514968, 334010017, 865837585, 223936057, 147346909, 564168230, 923442320, 9943682, 744274627, 384801239, 661363456, 595708954, 852934907, 727444648, 168786588, 225174111, 626189596, 376631067, 370510654, 344047432, 765237059, 927988587, 168653747, 166042090, 999955779, 816732904, 179522029, 534731375, 582014919, 768120898, 176604090, 939840222, 109497437, 616278183, 281101494, 948277687, 640498307, 296208367, 692701198, 200271976, 500626088, 850649320, 436829465, 195955426, 937516498, 403746228, 892260446, 377214393, 447765755, 352609601, 689894489, 80799801, 115599757, 820880670, 803168542, 685734800, 98373084, 762368233, 790760758, 331077229, 270161154, 655648867, 800320488, 743537426, 824761905, 300330606, 280451122, 485618624, 176527537, 425700643, 691815298, 410106909, 485608768, 168975336, 128872253, 609490585, 636916040, 215061353, 859691966, 198920880, 805028777, 528989160, 545134228, 966808437, 148732638, 267187306, 261608455, 409826799, 657083106, 623077627, 584610383, 121294691, 369795233, 247769240, 400501626, 712620035, 426158934, 891942319, 127893442, 226580031, 388064981, 77852364, 385879766, 422143795, 480494196, 549685723, 907058722, 819268580, 619362730, 6265090, 630548550, 387353449, 336720689, 450272236, 930047818, 989489644, 396097936, 787518221, 809607405, 205246867, 297439418, 34855232, 462790083, 846346767, 797531515, 102172165, 167027672, 317352864, 216677442, 474071437, 487789477, 919127557, 278896005, 574688391, 724758992, 472663080, 185339381, 747675897, 31016656, 238673033, 165072932, 363781528, 969439782, 585508890, 63899064, 407238401, 508623956, 294012921, 917687781, 97119880, 631027699, 41037659, 345870048, 612118646, 874852988, 461828236, 421399639, 922893975, 340493676, 353700962, 655757317, 284648573, 755410743, 23554422, 496388759, 261028957, 507871006, 703558642, 42157316, 286799796, 268017876, 287771316, 358995862, 666834507, 182096684, 866412521, 647188766, 306199698, 142399827, 4331307, 329903024, 531740795, 304752599, 827366243, 226317808, 746724366, 61267950, 617891259, 444892293, 510493353, 537564157, 343226957, 538597449, 411870742, 192408718, 490499625, 928377676, 301172480, 479615720, 792812421, 633667699, 578819504, 41014939, 614064893, 181609451, 724395413, 599437690, 761210559, 173732850, 588553288, 839249326, 65353966, 162407706, 131286979, 63067452, 785836239, 443634840, 878832597, 390060538, 355129495, 503312963, 633415103, 963742264, 443998020, 429455726, 118253432, 651983639, 355644421, 427154469, 216028858, 466128453, 218784672, 784802199, 357077901, 210277323, 553315907, 729978338, 290963278, 330632808, 861759787, 45699845, 495847831, 476577215, 598053906, 808284766, 689931348, 755022328, 993426180, 848078116, 429237173, 439706732, 546115968, 652128178, 559416166, 103897264, 230271721, 501872028, 900933772, 800474520, 549486618, 342584511, 131978478, 361818954, 180724904, 691572023, 46184790, 451318317, 532821322, 823348611, 217456746, 556678744, 6601410, 519951935, 507993404, 127272797, 747933800, 293178497, 937200251, 377073342, 513733663, 319283007, 670106853, 333773730, 391305477, 313144176, 544137022, 856360836, 707692031, 833773046, 223098769, 732190113, 951309898, 956599568, 521832202, 515368749, 937307062, 742869120, 502674023, 760824069, 188577030, 589908974, 622718865, 417790531, 861332779, 139559455, 107192017, 950032028, 864926228, 816540343, 166587497, 210331363, 383101752, 527110539, 314220067, 953580500, 911848053, 693907025, 25562592, 976989531, 79534411, 887767191, 680574803, 851112371, 730730534, 118684517, 622991585, 221769758, 547527701, 329911045, 981831803, 5538209, 13663115, 411988101, 936435120, 741392318, 391962758, 713027991, 438449633, 297652748, 922245819, 587518830, 849459173, 344007537, 448446359, 29278692, 251782971, 543824420, 353161495, 320673717, 768591391, 218326353, 880756716, 676401718, 109041298, 723338833, 345030330, 788842226, 801454985, 381590682, 943112048, 27279444, 518109849, 602039331, 361432466, 970791522, 953155458, 36846487, 959851201, 642948170, 2909983, 562334585, 892134336, 722714052, 358259701, 67927883, 108662402, 111900159, 625946148, 666181530, 557559361, 632734050, 164778599, 393302799, 439432220, 277087254, 33693778, 605446798, 40810694, 596235935, 522957335, 626111326, 454057887, 226598971, 2350661, 894429053, 835529591, 366821004, 291979648, 389040830, 371848423, 69074410, 767676588, 270824796, 545978971, 699514981, 539948422, 408070370, 916267922, 45284456, 294145699, 856815675, 133576392, 220037642, 862755293, 409310550, 571161382, 470452350, 55617965, 225959181, 624494833, 43050189, 49727488, 252447920, 86693838, 411472843, 197388483, 448712265, 615234073, 357872691, 270461655, 30685815, 582026156, 701927024, 115876868, 449443934, 424330966, 665315647, 115476481, 507781331, 252811528, 734497587, 447926018, 355432116, 74832786, 861780645, 167092810, 163874424, 64250696, 604524831, 919801763, 596294147, 336393222, 637997303, 311915669, 876869359, 913169000, 965290818, 523285388, 869502737, 696077004, 845222977, 692861982, 631612467, 185392771, 225926647, 771536900, 662691677, 616886933, 257726329, 441665180, 564341955, 389415525, 312874630, 960730219, 100142257, 323947796, 503286694, 768243519, 784656415, 415319855, 900008342, 502134224, 591137581, 727184987, 883269818, 910684506, 290349, 713139992, 400166559, 14943106, 980851625, 473935995, 331356737, 636162195, 301309400, 723850348, 79770584, 960999674, 869645760, 596535433, 902916765, 836037743, 207624546, 57216585, 250938562, 147827947, 897208047, 243846151, 503223188, 308687799, 692052707, 576652924, 50301161, 640742897, 608036367, 421627936, 199548436, 241653655, 140312064, 542983552, 636140615, 53073266, 767687163, 758300088, 781723149, 897132514, 282893794, 183108476, 46146864, 819062558, 722299850, 624783502, 998621855, 675430811, 905232417, 669088660, 26647762, 819999010, 518998114, 787052864, 260489816, 615734996, 447556314, 606404010, 441827192, 566142061, 902439605, 559712808, 334267420, 907299566, 989779488, 392524417, 232414038, 802501249, 773595667, 147108560, 909342842, 38622639, 708529344, 687134270, 974753841, 80036131, 754985250, 453857409, 898892063, 186390286, 298683259, 990914105, 134794183, 132421344, 517863645, 353169773, 409384478, 48924891, 827202374, 735589832, 538699777, 974181106, 703332228, 203925401, 3616343, 438917393, 773435352, 181709616, 309247837, 411874775, 814949780, 711651783, 707267247, 430541584, 78127369, 286382703, 913921881, 577753318, 957489071, 266591689, 774211945, 620675562, 759024419, 617833084, 671206086, 644645004, 944430403, 725955797, 90728847, 707947337, 637537593, 971779046, 323185913, 163672038, 166949747, 325291979, 815699505, 613909450, 391887420, 967706485, 205315618, 842439915, 372424915, 640170990, 484483134, 661474620, 973091841, 419477396, 890790693, 869816348, 560088953, 887870953, 256861255, 953211578, 902311946, 69844649, 165119771, 264544399, 196528576, 587594559, 547110099, 447914958, 719110921, 19248018, 20739006, 279661242, 969806130, 114524929, 204312681, 309726464, 962845388, 254459077, 147270979, 316596250, 245159229, 849173217, 954548279, 780718423, 90161730, 825866614, 314751623, 460826138, 770973601, 467522816, 608287664, 83803494, 698768095, 324889221, 119085542, 264783144, 360207973, 101595966, 936390987, 259876402, 136082877, 478769679, 780421304, 192550227, 250079086, 149352928, 579002026, 826592282, 273540000, 568565807, 148765353, 401627187, 973698818, 153074871, 869487896, 656876388, 912058004, 919956800, 17779196, 126726454, 425727099, 486077355, 38870646, 400189452, 65545830, 789053926, 434439236, 387236877, 336174139, 792715405, 612571301, 236729338, 620210765, 823214713, 7099211, 799484648, 103241315, 741137153, 739853928, 529855880, 288388037, 391351088, 658288479, 880620104, 728932612, 486128410, 213305292, 4973837, 301791196, 182172152, 262343602, 540694905, 978521140, 519959754, 813581089, 30254433, 456836238, 246058163, 675681258, 518825878, 424267907, 873641291, 621033570, 383739329, 738631385, 764858645, 640435262, 154810419, 405527788, 326339155, 264347150, 486848873, 866251907, 574276174, 585005647, 110591758, 534668943, 504826876, 206763053, 869015254, 107731164, 355133364, 463937636, 334397614, 692043197, 697339177, 851859048, 163579594, 904110630, 437516135, 590537564, 483403079, 609956414, 715021826, 324884750, 175001095, 574245771, 630922260, 450593863, 693025235, 590292697, 857799943, 781947635, 813842127, 559497929, 171594185, 623907981, 970205770, 387995249, 617193214, 75185021, 224981013, 985498400, 463284642, 467809052, 538106604, 571705750, 938780633, 237830295, 440753667, 990569200, 401560486, 824063723, 986831163, 337908087, 756542417, 854522967, 648796478, 107627793, 362791790, 352067481, 855937259, 61621390, 660410179, 393873920, 408531163, 726584752, 711755598, 150777980, 901420688, 21116262, 118212195, 463904518, 40437102, 384572615, 664512612, 849261872, 592391793, 482364952, 41700473, 647184508, 219989873, 611585002, 398110368, 53279761, 213265591, 10317258, 381235227, 932039007, 769964944, 508894874, 343211210, 452628742, 138344387, 633311729, 275336912, 740362259, 321096281, 749159996, 140114257, 491224283, 215902315, 76049174, 319217479, 130684632, 520420563, 301270425, 403321156, 913180086, 842814575, 918551424, 753211578, 872583184, 956426045, 633102793, 523498681, 574621209, 293736132, 810273865, 348685773, 905022277, 608916156, 353863100, 669530489, 298695950, 433567607, 585700336, 977363720, 275697596, 302580940, 393568637, 404602357, 121744670, 59485354, 515739528, 125703227, 233545639, 323122209, 217145903, 352229062, 624193993, 404949986, 995321855, 326306076, 903463160, 364811621, 272108687, 876578819, 710361788, 401094147, 859295229, 668943022, 570354661, 708206467, 491126306, 996534976, 941563829, 342990348, 434771971, 569552395, 210402422, 45653349, 864047037, 464182197, 896320329, 244759072, 976777723, 805562433, 894266645, 394631602, 831013215, 224177115, 898499321, 268147284, 957293777, 915350631, 779183343, 451890408, 9758605, 393874805, 548426854, 964395151, 968071877, 408206793, 79276067, 833028716, 927729703, 65720099, 743524296, 257885678, 274623891, 544110869, 275249614, 33656122, 248964681, 138466353, 165927826, 328581873, 549447073, 847804982, 503755847, 415748610, 743141538, 588376779, 183982509, 957902280, 556618925, 36949752, 84353667, 841062877, 784825945, 541319883, 293526935, 714788965, 185513796, 7982536, 923113901, 216247495, 251372930, 170837837, 786175298, 568666345, 77041016, 212500796, 357606480, 663579792, 726057389, 320396715, 950831938, 808349354, 403491028, 351664578, 256641476, 590127060, 929557351, 11247051, 411976991, 850620016, 481322710, 63218652, 796390821, 647842705, 267015707, 421852780, 795494390, 564357667, 397095304, 811244253, 391126054, 877182423, 887597263, 243350102, 887580952, 514346032, 90642624, 269788107, 695394248, 107775977, 445545300, 464806846, 765180981, 908536353, 787016452, 788647640, 74787604, 412491589, 954395863, 285553644, 411788255, 355690507, 881077702, 307995107, 32690489, 52291398, 392896178, 214343704, 823778385, 988897034, 36393620, 837624910, 725377091, 4390217, 60172313, 529905486, 230010432, 839899606, 636068666, 736313825, 872296181, 406883402, 550610649, 881944983, 668757112, 238616385, 74278611, 195776287, 86705198, 731738513, 587695930, 587660545, 510020318, 137489, 888213512, 533270927, 364137387, 3454114, 968796036, 522062385, 800228181, 284483886, 457798248, 205942063, 67877983, 299867943, 416827875, 548507603, 896568663, 818673249, 652537561, 283208810, 869119230, 714136913, 471047381, 4967476, 190173467, 84885478, 150395080, 433173990, 358950675, 698435743, 608233185, 412634047, 230589094, 881989784, 442447865, 61542345, 868992713, 247875912, 821902949, 512647326, 193311895, 83995171, 104123773, 430589457, 382191911, 962426642, 621583928, 565132040, 474459902, 115070797, 213037519, 6205883, 554864985, 261854859, 748371253, 716988859, 199581255, 499270608, 84521876, 274473139, 391639496, 19043509, 775439394, 783309274, 486131919, 460136711, 114085893, 498987138, 798967953, 160234466, 766080633, 90862888, 13501891, 334514017, 904841144, 464434514, 753534370, 954317802, 665069191, 169272617, 986800806, 416908883, 247194318, 879995431, 645975114, 287613381, 845492632, 753321568, 559598219, 855632286, 416001705, 855605631, 186913472, 661751198, 404514599, 1407592, 978467862, 598532716, 45616281, 667036447, 2200989, 495431100, 401256995, 949082885, 401316299, 975954469, 127852396, 347959638, 461493212, 889201134, 112679327, 175604522, 998239877, 413435523, 364899983, 66235337, 962647346, 207289448, 157731003, 817507121, 498790304, 557306558, 228677637, 242689947, 446400311, 749704080, 64945097, 821926716, 17502397, 888658716, 916812334, 65152930, 777196609, 233392492, 580097240, 861725668, 990539513, 547646217, 891693444, 96582405, 578852059, 458908957, 23995630, 437212151, 918011186, 603569957, 526030869, 365737375, 176471564, 831153806, 665415494, 387719751, 864347278, 467405573, 207359958, 113057239, 811496543, 915019756, 339438531, 85887912, 566229779, 746716897, 244790173, 549687511, 861674534, 16616363, 789568, 49789684, 75218938, 937733040, 61102375, 523424622, 475890319, 841682036, 118502735, 201196641, 207137635, 144814578, 5347211, 278468450, 949218469, 594168730, 529691320, 523563477, 584062815, 14254586, 438078013, 992837460, 859117252, 241549951, 129478924, 317686482, 348749424, 354502161, 964016349, 608019944, 737089407, 572334837, 51987590, 977687721, 27185815, 206747107, 1402812, 687356819, 981729286, 528084240, 558617285, 488974231, 251435220, 505133217, 296386784, 269808285, 591850041, 181014263, 240337246, 689914960, 156975331, 412936976, 610948373, 887877639, 852489100, 414871339, 122041337, 938377308, 836756739, 21182323, 383303170, 271922969, 821085082, 324919894, 425354512, 348015025, 706884820, 149216302, 586492217, 899048361, 103685904, 924077873, 94481609, 930472301, 465483850, 831447796, 370080760, 714482151, 989515904, 219528355, 279445483, 343790239, 902778508, 110709840, 127388469, 459646444, 59020953, 443897864, 802138568, 325137720, 338158588, 456948796, 972948486, 233841748, 629348713, 77121266, 164898752, 483345009, 135403928, 936644587, 496809829, 369190521, 654093763, 973146570, 197705156, 248509819, 940691342, 742580208, 554751523, 422005170, 537177179, 441487401, 265217723, 545318147, 187428857, 999850045, 872074170, 653157703, 28633288, 725964226, 266039411, 307259816, 884115866, 776899411, 937270174, 716868080, 924972206, 288328585, 684180023, 773680316, 325693392, 102907195, 488323751, 724220670, 6854166, 564112584, 848033383, 541286855, 646034336, 842756613, 243552069, 895862625, 950565000, 802793089, 753597253, 102652813, 918586512, 219710224, 564641455, 42657736, 852286022, 845972604, 740130979, 782057374, 903187754, 150239883, 883886507, 469897670, 552535770, 85728438, 862952352, 287756184, 53954411, 371430805, 492358739, 505548511, 341190078, 390876482, 997426043, 123185684, 436242290, 607558916, 439765131, 91858451, 2995454, 666392632, 305519863, 794908904, 33402300, 714476232, 545158863, 1738261, 130968744, 516152232, 806803288, 916905403, 296052934, 235488585, 802538597, 677928113, 88979558, 405474486, 538760012, 724967316, 785694399, 419827745, 220472946, 626837519, 324548937, 783632880, 703332703, 854319660, 238887208, 347053444, 343972018, 750148458, 358338195, 809710154, 917564917, 227562776, 238372453, 474828255, 592507337, 965579549, 483489110, 233126992, 521948128, 255979263, 709102774, 14923803, 347535138, 144564241, 12700866, 878620444, 796156284, 73343497, 120035009, 270291050, 851895732, 261592438, 840507566, 591626514, 516362791, 601582128, 784604055, 650769728, 466700064, 3206192, 882638430, 61400900, 882782980, 368449941, 448030697, 534751512, 726634743, 420443734, 542871550, 128447283, 148657896, 239418545, 764702712, 358439496, 561997385, 235948621, 284921568, 761975518, 111671353, 944129733, 579823248, 796774066, 876946534, 39163759, 6250493, 181816583, 651979184, 605546910, 492157655, 394585242, 454087453, 844062393, 875429913, 908926514, 676443194, 145465745, 336286680, 46722407, 944908524, 801167925, 416818222, 596992856, 506472270, 813364335, 479839916, 147552067, 413281082, 153982979, 329715720, 915075808, 103696273, 358917310, 313723776, 798610137, 651887484, 996921134, 418876678, 298824886, 273059694, 878911260, 439707357, 484085124, 615488356, 172953638, 192387826, 508753609, 457373516, 544236641, 58394006, 653034589, 496037521, 8765614, 498280364, 371352490, 496993246, 920759060, 215489825, 715293516, 561516902, 72810625, 513092165, 13664585, 498915562, 389587999, 653515871, 17832382, 361919656, 385344638, 236186840, 499664264, 386299478, 506087872, 742805026, 587752947, 889836312, 302398685, 436466927, 772619648, 321445518, 561165658, 651833340, 365288029, 302946534, 308547153, 131981423, 562812208, 185688147, 142002113, 488699280, 612254638, 99775179, 392174457, 328155082, 969334917, 350447723, 429246573, 860601968, 36982736, 566404176, 871979766, 192328493, 818662091, 229550609, 731469154, 446591661, 35826953, 234511793, 283607939, 783589561, 798819865, 105428820, 947463126, 852161032, 268766818, 84436809, 963719442, 930284269, 775341323, 508911542, 135859449, 568046905, 270760382, 308802116, 446012992, 161305476, 693028268, 991800795, 238213067, 575428147, 181651068, 385989071, 628274439, 482435321, 758503498, 915114286, 574786671, 295340716, 530182867, 429183097, 23249881, 842230499, 863075492, 402482306, 589531819, 354943525, 752996688, 477468879, 737499015, 19132676, 924595401, 239600311, 729137519, 415246006, 105692861, 895304704, 390456105, 982205707, 802147640, 977202929, 230093559, 481770100, 312167844, 798675461, 973934928, 13372156, 790080775, 140531577, 89959616, 360444353, 793674014, 624363544, 594802945, 345527009, 197676891, 432551555, 265557370, 856134484, 879598632, 800259730, 202255344, 872728147, 722747520, 550401444, 251004007, 672380761, 428703487, 72015405, 580819730, 55887145, 287385111, 180174293, 397984729, 957807302, 86513676, 83035174, 549103604, 123390579, 677144616, 655260887, 51110882, 871299219, 207238119, 500718614, 599074176, 996861793, 4470381, 599814082, 86030253, 752868554, 349412695, 473742470, 192394246, 312165875, 261567131, 717792468, 335182342, 822367078, 35344063, 886777503, 623762971, 151180567, 26236730, 15747982, 296715016, 701526980, 580230466, 509873608, 932789420, 547797583, 899462369, 326722604, 791320218, 609529852, 230348868, 660871762, 856425929, 595249900, 380816693, 427069752, 421037651, 966149171, 471555608, 753880636, 707659140, 394001376, 13693522, 72368928, 151598263, 94060959, 95100354, 843840989, 978449429, 253158863, 399217209, 997703082, 65226948, 891291149, 668281830, 949688716, 130877163, 127437730, 123788318, 129824492, 290935819, 111402318, 403309091, 34852076, 605476007, 681403732, 955545392, 952694297, 928556028, 234381232, 289898382, 83924720, 723714069, 49510464, 856959739, 370278484, 694977034, 435367138, 853558003, 367823559, 17526084, 562648254, 550973104, 115634214, 738739077, 365606478, 470886521, 297020905, 251718369, 413900543, 227451617, 926833798, 272398984, 353845228, 706365770, 871662830, 431565673, 688830134, 977252593, 237959416, 73354011, 50334389, 319057172, 715236965, 220372087, 478113710, 442794129, 424577405, 481468160, 268439925, 923946624, 354513394, 996624995, 664054468, 360350668, 461446801, 484899240, 958696402, 694003034, 131604498, 962562188, 502680090, 335599483, 630047325, 72351733, 369651237, 347036344, 610645579, 829426239, 673760805, 152208897, 407333745, 491311027, 343533975, 144289114, 417842162, 152272517, 611869621, 948002471, 392838167, 730526237, 742069112, 749611246, 40150416, 824427597, 809679242, 801226223, 952549814, 579930082, 441241265, 14713811, 465415915, 314202932, 461876787, 593271140, 792167122, 118620943, 528260524, 690103686, 895394744, 918671096, 191743252, 311406260, 777866513, 411552965, 762824567, 642802233, 14926476, 350302725, 271457787, 180518870, 133628178, 560632364, 39296920, 730315992, 260892665, 835596828, 65341812, 240978142, 396132219, 35164359, 362713153, 625722546, 975848981, 207149025, 184717855, 323383146, 274678764, 189772021, 125237107, 320653743, 658594867, 186628759, 972928677, 356307020, 805810621, 316931608, 419872376, 129891311, 394274377, 616957763, 478059665, 330065208, 408303130, 714125030, 806316154, 626747223, 951095425, 229241464, 7841232, 439194351, 18923465, 978177013, 353128868, 909699478, 914563670, 4316031, 390352157, 307905103, 393901719, 281481132, 155346317, 580588779, 560236865, 807584629, 181900585, 639864445, 197235099, 223767946, 57368020, 440000021, 149816321, 80536718, 244590875, 310640058, 928099002, 628466812, 394949990, 836685635, 775137772, 589228134, 895811855, 256848707, 128432311, 737834129, 148056955, 127089730, 886188730, 978592039, 699079633, 732060854, 859632111, 690854509, 634833237, 349561343, 918482331, 571029125, 909669772, 889035019, 93243298, 350450458, 915964769, 38936256, 878376026, 999231487, 410313434, 11320940, 53370832, 56632939, 432506338, 306371768, 103021269, 872019733, 213464587, 580225737, 372849497, 435154401, 682912147, 58741213, 658761280, 549618663, 246704949, 174903624, 606991178, 334272506, 496318587, 160005160, 653967160, 964399295, 58734367, 780208173, 870345051, 924525908, 76032538, 287923164, 598716744, 807792182, 783770957, 474386022, 376375662, 712149075, 555673005, 197086001, 9257612, 746548876, 466061650, 984689684, 386328261, 661372919, 849308779, 823708888, 214396088, 861288331, 59454412, 177550779, 416644489, 350800181, 345538481, 848981551, 47617316, 210151396, 251326838, 669451093, 652680935, 402080657, 823265004, 290578083, 557075321, 968170715, 220203396, 701440436, 959938163, 109173215, 984485392, 491292363, 709587870, 948596337, 442179472, 744475421, 848057036, 251752679, 468415546, 308705982, 481927806, 229050347, 305060587, 970799975, 257462142, 321599599, 270308377, 728589357, 323031794, 108956464, 486553287, 904692256, 427641591, 877200904, 17030754, 815388989, 631306036, 339923243, 715758807, 103909596, 804508005, 465742225, 232824645, 822487008, 198299021, 645060099, 598846314, 766338304, 393462383, 765218086, 58214914, 834418510, 770056726, 657852089, 754147135, 522365723, 329541301, 115508831, 792268000, 477985541, 923212105, 96169518, 639805769, 618513587, 873103243, 852188161, 758339464, 406398588, 299149743, 514988487, 559690438, 554798683, 288654312, 220925176, 752488823, 6797141, 413427116, 722813403, 384035824, 174133225, 130837050, 131243251, 618229270, 720376268, 669511871, 440987050, 965127620, 733042604, 454072593, 837593746, 432548811, 448945224, 753159176, 354788391, 209236304, 65208358, 371913917, 920448927, 284572421, 557828778, 928162512, 319698263, 990393729, 913289996, 480209150, 371206958, 258463933, 410022682, 398574631, 637451399, 535364076, 913574655, 112700844, 184500025, 640517832, 736984120, 204454983, 415762976, 874256717, 961376677, 971114066, 764094920, 681150508, 205315253, 519477921, 882059124, 230618441, 189877358, 425103165, 925781591, 48052242, 96829909, 709478267, 566493813, 250213558, 203703987, 936786388, 681218288, 787481099, 148310924, 908389500, 445230470, 371969945, 489634730, 448310993, 749134765, 308001912, 759667087, 895172983, 310969893, 445873521, 370029131, 354347434, 890224291, 628443461, 736962658, 487414723, 648266427, 28177872, 841438696, 207331251, 98194814, 917982939, 997862521, 411420661, 900989669, 418638805, 245941305, 819231460, 813740656, 358073167, 77029968, 282216957, 935401941, 916397735, 176354899, 909926626, 355608756, 782788047, 495675778, 321666835, 579912971, 256767860, 133261953, 709887907, 547423888, 350843595, 834304878, 349046332, 653782718, 869828044, 558950595, 980321859, 470576802, 290951952, 608386568, 889981480, 789277655, 738736082, 395716853, 773241871, 899822156, 585199258, 422963608, 706498825, 375555601, 525427966, 455597113, 615186795, 811510546, 426612564, 329768322, 902921027, 383107976, 604292490, 783247674, 380339988, 692499613, 805314727, 225186400, 744792043, 124601648, 206228184, 135746595, 439716260, 86495551, 21251852, 426056990, 611651521, 250268848, 332385476, 965242058, 360165259, 42253276, 635487881, 234454761, 422214432, 90205016, 366151004, 541738891, 196231259, 585283363, 911591678, 205169733, 674277560, 525132376, 405728700, 944060220, 26526590, 857729998, 149610957, 343349107, 731049433, 7087776, 770746459, 105515454, 245806807, 684488046, 878491665, 620498190, 710386293, 222700920, 808762203, 66460084, 405411683, 340745716, 726475025, 709973590, 233332302, 414683822, 439559678, 529243707, 579774928, 726588317, 284306947, 760338208, 800160152, 236763630, 574842526, 140730692, 946544956, 308834239, 934461975, 230612962, 612369899, 901986267, 449567412, 107427404, 250370835, 950771238, 721718555, 780632593, 761799236, 85658279, 582634479, 975465030, 427761386, 412346266, 731521727, 616967815, 784858571, 479267549, 766481260, 926064819, 202727977, 189970041, 31016101, 838366078, 463696003, 953429886, 234240933, 749126611, 542106985, 454243698, 529366165, 761609320, 983432197, 122664443, 618592347, 306573134, 384831165, 530469464, 121905370, 355680240, 735260220, 989623306, 464761013, 421318642, 865577605, 88122116, 965400038, 357427249, 984530836, 363226367, 338915674, 452987525, 881575817, 323437649, 150730951, 129108527, 35269248, 362921746, 471631265, 885155746, 345807340, 806575929, 514978014, 512047713, 431368353, 401276955, 313120225, 777649016, 330715707, 977871443, 143453650, 928066187, 415172575, 970067257, 294007875, 903324224, 323413401, 353462397, 991700702, 591656235, 245425474, 248759108, 998498750, 697069118, 825106766, 309979423, 820991342, 429192285, 786443346, 462274242, 38454974, 253604528, 561120662, 930273484, 928386481, 583234678, 896738694, 255650022, 331599913, 878861316, 301785908, 505180809, 251777997, 404445305, 51037689, 756178223, 703371134, 879501069, 166379400, 686801158, 993880344, 684601431, 387094916, 817865212, 164044196, 991678292, 295758941, 522982881, 81797848, 524197407, 713514828, 520508682, 460553017, 57041071, 381948281, 955458047, 428738441, 237178300, 509338480, 653989244, 543720852, 656739866, 795939850, 900507419, 99316162, 918787952, 319360585, 49012999, 214596824, 150391710, 316821361, 826547284, 512381161, 479682773, 614638262, 457047073, 345489520, 643813367, 944511068, 719926076, 542615571, 775887944, 253783217, 215156260, 284325447, 51511585, 99799989, 832772807, 935692162, 830470332, 738668042, 402795664, 651309300, 776841170, 518856227, 22126863, 378970564, 364305424, 53385579, 896449527, 519407418, 456215076, 649651835, 514541624, 307361757, 629341053, 850809930, 692902463, 2001195, 306825533, 812751196, 290021495, 630964311, 399705940, 596050185, 369084255, 856931739, 906359687, 829155986, 106524845, 361492389, 3383379, 724438740, 407014988, 687536137, 682297906, 561352060, 153894438, 851682648, 387567942, 756484134, 847143216, 569059766, 294606026, 684048631, 682267761, 666084351, 241845944, 891269487, 393067661, 117578050, 374888112, 277405563, 451144853, 683866363, 718232327, 745203321, 35906727, 156478976, 444798819, 117421397, 345294670, 321750844, 538849664, 509896039, 320761602, 234632354, 472900151, 733214671, 299054562, 547775552, 856359635, 121476836, 725732720, 584441379, 780927626, 67481124, 985196345, 265047391, 518630642, 979773767, 213719422, 691797765, 970228622, 324815719, 714838553, 210250389, 497416856, 508681833, 94091294, 374735814, 96763218, 243327495, 942678385, 355233504, 824846934, 832755591, 785242851, 142466494, 342781242, 578073336, 406131169, 378612581, 604848342, 549311181, 986204173, 96099079, 973556306, 42505695, 433476902, 590046343, 810859406, 880719295, 843618990, 12717804, 540903764, 343466892, 203192777, 21294849, 656003514, 941983714, 991444583, 569813693, 972637428, 316879800, 119973258, 671536222, 143027649, 239252287, 402064146, 290216059, 991806245, 208511770, 695935450, 626956187, 502911217, 610722473, 190223478, 405314688, 221366452, 463912349, 363728624, 506254303, 82950872, 517634519, 54733063, 268263591, 432668799, 853696225, 676286384, 254718679, 66734910, 342912022, 561578941, 637775048, 937191155, 358674490, 582966484, 519150202, 271406198, 277423704, 107910907, 302768285, 225657638, 624508873, 835646061, 255944934, 572803947, 323184365, 410568122, 77342942, 751432351, 175563504, 561036796, 350373663, 205685198, 603257258, 847773926, 134367282, 274176335, 356493756, 916629653, 171044791, 783390422, 153485183, 181491566, 872591094, 508925455, 641211134, 901952768, 811097053, 548187933, 831229053, 492918224, 914767040, 831960779, 774741042, 128027072, 314031757, 401786953, 127691963, 795144498, 251169140, 824379196, 984108947, 423671280, 385398549, 534795706, 896432832, 88079610, 238725186, 429193393, 262951280, 742482249, 698643417, 620494298, 394998150, 754279792, 505583246, 613858743, 762751549, 327835066, 628247449, 747800478, 925321275, 465544873, 440293549, 766877458, 939779789, 169889299, 816089920, 522770384, 755611905, 486549492, 104750945, 425612160, 132636378, 968833063, 315983772, 379991396, 90307314, 923334526, 851291553, 60521503, 720340208, 812873243, 50137872, 451138124, 342673760, 341072862, 703625889, 682151350, 591038320, 199544023, 233125555, 360777258, 410918759, 429998140, 444680911, 649307690, 943286368, 831044234, 464145988, 465511359, 206064724, 446429209, 634288143, 284809174, 728469250, 387708762, 506867175, 250479395, 649137885, 887672446, 930651743, 24143094, 443558875, 458556379, 154763134, 749152889, 255455604, 872963974, 650909351, 860352674, 193488038, 664247929, 178014256, 2745995, 475339812, 558720949, 385545007, 854598747, 153940845, 328870865, 498914411, 64014139, 583879801, 613008563, 199922922, 572140709, 514704420, 511671953, 771653226, 391862896, 579140798, 767887893, 740336285, 415971195, 206544989, 543232753, 724053366, 24573738, 956694881, 51907071, 731259173, 678928800, 728839260, 343511859, 716152734, 629599773, 863238735, 6835245, 446262105, 609251642, 108852068, 588912848, 83557353, 719325864, 837688744, 997907132, 680316723, 43385441, 960197449, 955510917, 530792498, 536101520, 373242887, 953392463, 369582721, 373798720, 268171436, 317842274, 215681532, 59235511, 972777051, 630697276, 991059825, 907233592, 614360776, 353636620, 121194588, 84081463, 589229623, 543303789, 747801399, 156778673, 296623164, 72970537, 291185259, 867786056, 189068410, 39460839, 622527854, 543082985, 159323927, 721266135, 404855783, 107900699, 10036381, 748845503, 40846328, 456136142, 348822089, 101604344, 730509355, 812824428, 889028784, 99218540, 133673369, 493868922, 768512281, 160589616, 387159092, 171072497, 212198923, 849176450, 365156757, 39841924, 599811335, 845282738, 233289111, 354556714, 534768637, 454255041, 864380845, 283723349, 806345883, 133162642, 724106997, 246456919, 967196664, 320060361, 469373314, 87550624, 493944406, 684481325, 32171841, 524093852, 542070665, 871986979, 791024572, 721444420, 341440701, 437265387, 855356458, 600906880, 190723522, 852464241, 724807119, 678174431, 675606623, 628306422, 56167450, 166536923, 743702931, 289800474, 910195168, 297231047, 79959107, 544921549, 874135592, 852103790, 979066322, 791112437, 999561889, 431321821, 653270311, 851465256, 205506086, 377180940, 558938896, 974542309, 278266513, 298554988, 102793672, 814058624, 587331528, 777731654, 634240162, 737977587, 581588241, 398024699, 921210610, 295024623, 572215238, 909849250, 93997019, 378714285, 439760076, 214487204, 588700811, 230580786, 855122162, 845985568, 741857725, 302125292, 89487226, 549629540, 719991007, 23373061, 318419242, 337628558, 782314116, 480714015, 621795668, 177316212, 534177789, 752229391, 475722319, 406405444, 208328539, 648114708, 240250654, 26986415, 300632899, 4781630, 325415423, 301316502, 387032914, 376151128, 685252565, 843794386, 816885766, 113625259, 187088100, 862482823, 153592021, 174314036, 768357464, 62064970, 864528596, 418835392, 998960888, 293280200, 344382162, 46047683, 373898174, 873452910, 711627572, 496697062, 437210975, 224735785, 354131405, 926227805, 994603066, 256481701, 469916407, 509437727, 176302158, 489474594, 845451684, 224645957, 479237601, 21444862, 686267503, 477049565, 11303881, 302351494, 389953606, 84132445, 836349708, 154378763, 984848027, 405385905, 385362777, 243218242, 525727977, 550191535, 542056858, 670061399, 639735786, 527506943, 692416064, 242638447, 590501255, 236133560, 146008741, 352060767, 40377928, 183717754, 359608266, 946053736, 392435899, 142794454, 778501812, 129535775, 365978343, 224197879, 957078516, 805748034, 806989303, 854534765, 479544910, 74552741, 356415406, 703806073, 930354348, 210964345, 422667210, 757202292, 580373003, 649939575, 777920710, 941385047, 118536671, 477727472, 429678166, 237362495, 478991493, 907036303, 335926051, 796020543, 602800382, 376679026, 496911002, 759888542, 212504672, 267541020, 940085627, 27662303, 449210472, 757403359, 154561932, 249554554, 131191140, 861525562, 648191528, 386063391, 634273884, 584862416, 608566755, 295817579, 806022855, 300476221, 30022500, 843820066, 21105378, 311848987, 973662617, 687844454, 947696579, 376448317, 166736622, 428143552, 685312106, 853390875, 425734774, 740495011, 953577276, 953958992, 977519279, 398744923, 381476214, 377186498, 256255880, 513019256, 134876452, 900569672, 186588614, 774925128, 909903032, 57559153, 209051252, 355444310, 890593549, 863856178, 975985914, 633328452, 288652261, 819154953, 775848678, 675587940, 899998084, 755422394, 12577421, 339974365, 784185886, 513646289, 9954006, 445475757, 168214332, 648743940, 705193969, 261927669, 518679536, 294481640, 54383157, 568050755, 84822737, 993639777, 809617923, 235868377, 79140041, 243010849, 296542568, 502428638, 51607474, 157543442, 802212916, 249731307, 674333010, 702182005, 104272537, 397545624, 322073071, 880773395, 675295402, 188011312, 369930821, 509106860, 432055056, 607373067, 36907595, 91156509, 561721882, 810426643, 283532272, 918859676, 318279412, 412751112, 325981351, 126888468, 76484904, 54570144, 64903371, 739642303, 957027324, 919871140, 658293654, 219805443, 375299177, 869623595, 586651816, 169017832, 85468028, 234295650, 633174432, 456612714, 290473715, 225164537, 207302020, 976574623, 497601231, 711223219, 729900198, 28207938, 188802568, 277275526, 772177080, 536489772, 261734074, 255160713, 311331082, 154864773, 642591873, 534156848, 642929633, 361198616, 548507029, 503938584, 322285408, 456653808, 206438638, 313241138, 530604089, 359912600, 395623001, 985016769, 260745615, 756014306, 956319619, 486114486, 226011484, 952776968, 721068776, 211857863, 89574523, 943068655, 568491868, 154854201, 254374516, 290677111, 943874943, 650297832, 407442313, 800355608, 316940100, 699819551, 898982233, 336527861, 136362101, 542792021, 888027732, 212749315, 567782986, 292630376, 657083511, 739850591, 84403546, 119488151, 255065793, 99892073, 156822246, 73677094, 545372195, 385394796, 649903146, 884620112, 638412744, 967834387, 659616502, 209131242, 25106386, 229796720, 775148654, 255938828, 843116805, 586210749, 58127714, 516169527, 726503867, 634936155, 435818614, 84280534, 333823794, 449832003, 493111507, 616047196, 293762087, 130617118, 492622282, 7565482, 234580707, 553081409, 977100975, 99654939, 665343212, 156505653, 549987480, 954997912, 489788971, 158024217, 917545661, 948545969, 830665431, 912611868, 143429623, 930602878, 3685636, 725455542, 115330233, 194131999, 687543451, 333859549, 464262694, 441250279, 1136646, 88698245, 69746098, 246098266, 364756776, 540856779, 96174566, 647653714, 191342970, 917273118, 130934459, 751136977, 659872735, 670607742, 19565883, 475570147, 27593596, 834838171, 359859135, 531524179, 869658984, 722233028, 596697937, 278272865, 979559620, 735966250, 34947704, 67504636, 835364258, 398468681, 58157021, 637064931, 668583229, 254183325, 710976264, 515091051, 249302257, 899208421, 813908203, 753606324, 877122157, 951469994, 215743796, 58228767, 762842914, 872302707, 165179625, 328544019, 885335569, 468634353, 263911133, 690194999, 325726519, 456489180, 850066793, 783896509, 31013309, 636729936, 77082217, 929916854, 126108154, 41231044, 210415896, 707867854, 761834645, 627413121, 458101437, 962082784, 811863097, 423212166, 156095949, 673054830, 584458437, 377406435, 277593201, 299030061, 598950299, 178935371, 922140411, 893488690, 320643141, 686867573, 464452974, 236819277, 31128315, 835958427, 845611617, 486436686, 111790678, 718004673, 254459062, 253743542, 515283955, 868486655, 58461504, 995174007, 351608901, 482893203, 296102233, 137781910, 32338029, 254028278, 980655116, 967074372, 846112760, 356346778, 660252990, 988756762, 421839365, 721812384, 814658188, 494368916, 50446137, 595589211, 332873866, 210228294, 764797653, 224926680, 282378685, 580744647, 860261723, 9282143, 879434181, 321656407, 841006706, 587447810, 739605120, 755093506, 388436506, 505465991, 703656934, 10728785, 635916863, 454793874, 652325767, 636830852, 719718254, 128896683, 78785022, 891925518, 852840446, 532196474, 108231884, 824475804, 857937504, 244760542, 93670767, 147077631, 760446552, 692324472, 379755342, 222352151, 430685529, 743925772, 86764158, 570520386, 160787157, 455942121, 396799919, 429843355, 342778347, 123909598, 723149903, 428952088, 159896201, 137974448, 763884626, 757453290, 2438481, 24205579, 700586023, 144797368, 356800045, 483817101, 913362395, 164505989, 900941379, 381677951, 103793779, 51423071, 939450418, 213753788, 15228284, 922158526, 159419087, 571421929, 212551961, 864443501, 827024224, 713409601, 341380004, 917304118, 409185339, 576837402, 428486192, 428571264, 379287037, 905069045, 685446996, 996109385, 292020122, 101334429, 791899699, 762986805, 809893547, 445073724, 114523734, 140185899, 27355873, 434373907, 235715905, 200925552, 780599386, 107981954, 250793089, 908266233, 493448344, 269836035, 725479801, 753226967, 185259470, 599420151, 697830677, 924952670, 903235939, 495981854, 78311135, 601701090, 726130453, 255280740, 803488449, 826549743, 801136428, 396546473, 404831747, 767907385, 175300177, 54177736, 305456880, 535242656, 410004349, 450514991, 247312985, 376764733, 950919961, 451167392, 246294441, 502799991, 802126638, 366797574, 720576081, 437069361, 979272060, 114914896, 406061079, 993935186, 473763641, 361873740, 206640990, 214853992, 796068050, 247489878, 190394935, 692955095, 640597111, 759098643, 280777241, 682923641, 587902208, 12334950, 27420994, 69624293, 352177277, 954989669, 95788719, 473731556, 124644329, 13615098, 8287880, 578646125, 657254478, 730495541, 55327443, 777600694, 998122262, 702175866, 873014768, 931848261, 162511393, 98295121, 601232886, 115101145, 301258357, 276999495, 611253110, 824036967, 837277555, 272463205, 529213677, 931325597, 305294151, 752521114, 685074283, 605885821, 273659312, 848506670, 405432792, 531101086, 636100175, 368642467, 662256840, 344230717, 879218285, 975159826, 319469424, 556894877, 605068310, 438278190, 820895285, 861558766, 321568578, 690124046, 405265676, 541730263, 176446741, 391823514, 791860699, 463180887, 906934122, 669373428, 987710750, 70299882, 352135590, 877674363, 198587066, 356934023, 97062584, 697935040, 455380708, 725874594, 301587041, 655025579, 170363756, 728810931, 282438713, 686540060, 734902961, 859016434, 848984969, 825697539, 789031671, 176613556, 586145506, 259887404, 252985365, 313443669, 489779409, 302381617, 828924026, 85781984, 190987074, 996167556, 522188209, 393224476, 155895938, 870851806, 552137419, 561884602, 486241685, 345792672, 723057732, 831512132, 205022548, 16454387, 404731997, 292655534, 391085990, 779670218, 94016446, 737586401, 247310174, 81834609, 365049723, 387915321, 353646166, 852666552, 689319213, 951029063, 760930084, 148958843, 301412893, 739738532, 789664039, 140035664, 662148121, 505621762, 865562097, 888361534, 670072765, 307598968, 732206707, 576228899, 787231305, 498225983, 583754872, 486618012, 975603446, 244459595, 540899403, 792639454, 280676309, 141987025, 467776594, 180251629, 768206582, 118126291, 887918115, 518669482, 781586627, 723142551, 698510657, 468861451, 109232275, 37221369, 489959703, 296800020, 435890414, 681518672, 954584695, 113281501, 277101090, 457759507, 625687994, 131896152, 942835310, 450713478, 338436019, 552523589, 513639196, 998413756, 809638850, 404269581, 504405117, 599624059, 369647093, 21570657, 945109320, 194650036, 396593382, 222726005, 418060053, 215513707, 343107059, 21204308, 235733707, 553124419, 616736700, 462018288, 641813106, 512387696, 246669411, 302865765, 223152610, 106295212, 119487092, 430764110, 412259648, 361984064, 375396555, 71242730, 125550121, 58145652, 475515109, 140887458, 774979493, 168690606, 440837973, 807787082, 721620558, 631167718, 169150540, 143828252, 591263086, 499387337, 995227704, 490322491, 26025295, 264142419, 67103855, 453691272, 174686654, 570794586, 689498507, 133598800, 918550657, 47735251, 238790543, 870692177, 670359306, 407154767, 684453453, 217146683, 287476385, 495044032, 471448050, 7223013, 317006333, 37530063, 804959056, 404599138, 251360640, 146578301, 781081617, 706655216, 817297359, 843294231, 209906299, 814007061, 755757415, 89941950, 59721151, 315561143, 758934294, 409466167, 660660657, 978021895, 901321464, 929635608, 438839981, 254264201, 497491634, 790716556, 552980336, 881917005, 237165173, 767811125, 365793954, 725826928, 804355551, 834573482, 148271769, 408541240, 34551960, 353740286, 402239974, 661510509, 633009669, 919775223, 437799739, 562776889, 206626261, 955039298, 816286844, 424409939, 479286450, 489697212, 945280258, 793015382, 943721195, 740383091, 674358901, 592130739, 160657131, 962043680, 887943659, 524683841, 886475274, 33257275, 490009721, 154838886, 77746197, 444696361, 485029311, 545963479, 878796815, 347275506, 479596455, 689938739, 953707214, 944880896, 666993429, 449585211, 460891005, 72601608, 633219525, 229340387, 447182634, 302183131, 165027110, 589461617, 396040097, 349037943, 261245413, 769696224, 301954540, 725936261, 108716149, 846849054, 397007732, 480364744, 35189175, 379418446, 831380226, 285214700, 869339760, 217119711, 251626738, 781349222, 226349189, 955992516, 765351188, 880602888, 311344227, 488934278, 884613409, 181076585, 620552099, 422647001, 662670947, 876736117, 320682418, 289471147, 905292709, 108794144, 112542401, 369019507, 362634417, 429077491, 573066637, 423452858, 324887032, 627554738, 502674440, 452547380, 755426586, 422794575, 251083667, 298823852, 791950296, 677042167, 143310839, 882624153, 566512560, 276394136, 202652316, 786602983, 320157612, 119356137, 945561814, 26091245, 219796233, 247868133, 744959302, 814842606, 62656827, 930964748, 648246895, 466850249, 955220569, 570813789, 309784565, 376675125, 106808020, 353476724, 374417394, 88631301, 81064138, 177123124, 545508267, 118718517, 654485994, 675237145, 66164288, 913911677, 61944757, 74421542, 604519451, 267087275, 972364891, 406722391, 286056419, 11104619, 923648315, 20206942, 854001414, 613339781, 870535698, 284258446, 365035512, 570837376, 986037007, 681155033, 497792285, 109057244, 244656174, 856746709, 448198132, 981535584, 648729844, 33105424, 855575389, 838278815, 992083314, 545022780, 140790648, 196451814, 842532313, 181625778, 602787657, 678406100, 597284918, 159045103, 619023827, 304286473, 606731967, 988883497, 501326358, 874188302, 426506018, 953146638, 197973976, 488934664, 889452014, 593669770, 456215545, 816749260, 782357513, 178662900, 452166781, 836045353, 314648104, 700907774, 481453531, 796092525, 599161908, 494954101, 986071926, 512933740, 323455666, 65308238, 938387207, 227284118, 848852708, 754053877, 652774876, 893058592, 782827541, 353255788, 509633260, 452669006, 740829361, 34938026, 591379202, 101957406, 102711973, 105917028, 454529323, 990781017, 546817355, 179844021, 558898106, 442140477, 175973614, 430116020, 185241086, 6818434, 901305907, 996904133, 347866314, 598067930, 420997785, 762195634, 310411942, 415653382, 29212306, 312641324, 521727923, 303864059, 442481456, 317932037, 556498903, 669289723, 221077531, 278085653, 156522314, 364874138, 108839522, 942899499, 546682044, 673462477, 933582168, 810413905, 565849347, 505367645, 846498493, 389240450, 231414339, 880994386, 788938691, 876143799, 134698526, 739983631, 95563098, 893503287, 959544312, 467263941, 872713599, 728418482, 511793689, 533836153, 682213437, 499272915, 196312233, 3753537, 3798486, 732185706, 82807340, 487844748, 47314476, 968290563, 845847094, 713516936, 538112868, 641406946, 74588438, 702750124, 879875828, 971299442, 886025782, 975029374, 344190849, 4885099, 500335638, 606475193, 635068903, 553749411, 584754753, 991561865, 136940739, 112461045, 773120673, 442919196, 756658834, 954178863, 342335309, 874153781, 398350266, 281141911, 186846473, 567449078, 459785552, 51376417, 860163299, 878202191, 670226912, 910085553, 418859204, 695945723, 846328060, 655860837, 686446182, 580428906, 465831479, 284592704, 707908027, 975262090, 991182082, 72808778, 584091244, 209254587, 564649891, 883941526, 669638442, 458824130, 855310432, 243757999, 364212989, 981094036, 249701842, 752429670, 840332721, 146933633, 29658099, 139390809, 35371723, 951293186, 553746568, 267733516, 949642255, 153176934, 171471849, 117168761, 607435408, 393285553, 129120886, 489186096, 464592118, 672370752, 313039692, 162896893, 238923014, 152323229, 658115965, 821416207, 676113728, 244788938, 52794614, 651470095, 980518206, 252510674, 350643162, 763811687, 531927943, 454416798, 151117452, 902987953, 590799963, 442077733, 160249814, 253867721, 527311765, 535798886, 812339920, 224757523, 36428221, 662520122, 648979121, 358252502, 285114776, 933990874, 452291624, 347837423, 496242472, 327899043, 72982800, 177482180, 160818166, 850379658, 510106919, 472599344, 61188782, 905783378, 916946202, 36245111, 563328154, 789589322, 809777891, 731946831, 382370178, 128202124, 193717575, 522799482, 611583118, 83707396, 729357122, 405124020, 215183177, 580413973, 418679917, 837331614, 873510627, 997881836, 358775199, 238725650, 888770306, 960932551, 837152151, 362673290, 786649188, 973140959, 58592421, 727328072, 228714547, 147949105, 656932553, 499522285, 979283757, 16679427, 897350159, 939117139, 210078105, 747426248, 425802195, 571359916, 947782918, 207960865, 979725385, 704622643, 402163294, 109819574, 924328507, 225142771, 477490928, 435344015, 924556680, 135514569, 900183469, 770267984, 690371836, 379815502, 803896312, 859744226, 880071720, 242338870, 339537199, 542968898, 358755635, 682284404, 389632732, 701216806, 411790361, 479684223, 714836463, 319108229, 318616121, 59201325, 698697545, 713775925, 911440631, 900851702, 994909994, 120660464, 495645885, 317750234, 856191855, 322117928, 212499154, 921090541, 288119885, 252453927, 90828626, 373200522, 496768974, 778556257, 187976376, 920759121, 143932017, 870692987, 423186292, 513852559, 605972342, 463803510, 930278523, 403577940, 160538352, 761988598, 34806325, 494934469, 97287561, 913865289, 525666830, 217735145, 405021370, 804290824, 214390161, 362953443, 742031615, 989790937, 80256306, 785890068, 127254769, 680550144, 936704702, 331755468, 824978201, 568088207, 625804262, 771614419, 386240510, 560293677, 394016189, 487611956, 895957316, 544760666, 244804967, 896322319, 56315573, 361141307, 286966090, 292200229, 317144568, 975961900, 21856705, 13438971, 581763482, 536057155, 908483139, 159674950, 371983349, 651029438, 249466348, 870632791, 239908497, 661579841, 535253232, 685300665, 281221814, 64575962, 231050977, 52170623, 500685715, 51804691, 1404911, 941168479, 493126726, 202152416, 151875211, 378787584, 249580285, 281760871, 900199133, 787541311, 476968205, 282712963, 178544109, 513583522, 482459054, 228825644, 56180844, 750643387, 467735755, 574102746, 5333045, 142772703, 139903714, 378150074, 604798426, 13774957, 793815377, 433032845, 859260452, 541829594, 254286818, 480654242, 899520187, 777595747, 737831863, 235570668, 79402550, 389058645, 469533840, 824341802, 962130181, 626141511, 543156603, 525427626, 941966893, 788584693, 977490552, 908464159, 101469303, 204619689, 445150028, 923169729, 987240505, 760665958, 595626940, 922392152, 359153306, 4381277, 294903915, 888383012, 568737050, 705314315, 212043954, 249906736, 943284205, 163945594, 159429741, 512653994, 447539493, 245128752, 991417496, 301766226, 66502865, 914720780, 165700431, 670946428, 26407354, 991948170, 206696220, 18591922, 517381263, 837938103, 995569622, 761317079, 64464575, 992726774, 106695521, 76071157, 359158219, 575982976, 356592265, 977156958, 81647354, 819837220, 877223483, 230849427, 543770717, 21245359, 834548196, 841850681, 499968089, 972828454, 110330487, 323097839, 226542005, 815592661, 764298037, 70604950, 153704308, 769389121, 751088136, 188687853, 587494454, 762197903, 729943324, 414117866, 759585217, 876297823, 707678255, 84230063, 385304279, 976709658, 802521844, 511877623, 180843000, 546110908, 357335999, 76746037, 918288533, 88234988, 811052938, 839844379, 60718371, 813348929, 704224454, 776344264, 574031941, 855635783, 599903221, 505228915, 734029360, 572003372, 972816961, 741734234, 17719173, 198376178, 433344052, 222067795, 649137331, 115288736, 825994177, 273477875, 485987050, 474635913, 650328805, 713749096, 315673329, 819068887, 449870384, 831491018, 788857904, 652534248, 54210088, 567699491, 412179179, 375406596, 339532731, 413467150, 87985504, 560802858, 170648584, 513959401, 156120872, 743842935, 120948221, 885234250, 746549993, 282249770, 424827599, 739310707, 998083861, 376466078, 153123319, 247314385, 899419580, 901313295, 192913455, 288730775, 486568012, 59176822, 249664482, 552315300, 745197916, 547751098, 454359106, 541950164, 808333559, 684934034, 580585551, 12928426, 42888921, 288646884, 431620237, 516219862, 469880754, 624166350, 935507209, 787331643, 249632282, 120433639, 941759323, 840389204, 739687963, 742882317, 690872363, 811628383, 582842443, 735893773, 464008507, 818734688, 943597945, 110384116, 221034400, 449503300, 934514217, 897276446, 54042732, 400347214, 712864439, 867678433, 394676046, 488588580, 826495002, 862816217, 859365820, 783737544, 978174440, 476678375, 737756762, 258081128, 838008823, 71106873, 427355688, 174846538, 531021291, 589090326, 116394984, 652197602, 48087579, 776243343, 366109923, 91064273, 888216042, 287028337, 655385682, 382804818, 920546135, 159247205, 713285454, 25130336, 646970842, 316100822, 397862946, 566088723, 733333640, 205353559, 482820043, 506561510, 562285384, 968092480, 684611344, 31439074, 413002757, 11318070, 183555330, 314784779, 906577685, 573012915, 696979517, 996032951, 721974607, 943600346, 675761461, 735248240, 485046379, 10560545, 856115556, 368972881, 86247104, 149438652, 243366157, 944475931, 185602460, 410923664, 144437286, 589988818, 281386883, 826255389, 877180475, 150111753, 918941174, 830519674, 292651458, 617059982, 805626835, 355243266, 175819045, 969383459, 601301297, 523733223, 952612061, 68196406, 388920097, 675878929, 558494114, 948258885, 102683784, 710705116, 340282324, 802743606, 505728733, 882118662, 569553911, 261763830, 194957459, 203313621, 824005795, 545942601, 146216328, 317619223, 596622874, 864863993, 88197288, 130677807, 619401097, 363435772, 423743219, 620379969, 944736530, 3057090, 929389005, 684949120, 21282331, 983246527, 54862192, 879534012, 272135482, 737238353, 880213923, 484227833, 231193014, 524166777, 500829056, 632448443, 655660913, 238315612, 497665487, 37492976, 94805082, 521940084, 873942002, 280484652, 744575707, 848726793, 954006855, 456650725, 330642918, 269229745, 58862551, 53998277, 562228552, 596080031, 851610753, 829225593, 911256498, 783696277, 885900941, 575957242, 679205122, 250386215, 482657082, 871413067, 932428399, 440690149, 419972824, 368658967, 341410380, 852737911, 512975282, 802438385, 204947000, 53795990, 907421541, 833476422, 17897168, 73191484, 258816420, 919628577, 695361790, 501248480, 965218670, 722196544, 387640308, 532929678, 176362623, 300035958, 409555775, 445099460, 461332800, 85506479, 209397837, 754496766, 854861793, 767634140, 583454317, 44592486, 605955918, 308280773, 254412108, 161764284, 407615881, 227818633, 453515321, 242331149, 622317623, 317534411, 445846642, 216302006, 682265996, 769480607, 733441398, 345609594, 333022359, 723336628, 124065258, 324627270, 949147849, 868588258, 460190091, 891590663, 371329022, 233634427, 388830095, 935829914, 109925990, 403657738, 84656024, 393438207, 605254046, 66446398, 318287411, 202786639, 486038302, 173366410, 387579212, 16219452, 130970295, 457123653, 207974392, 697370709, 247091419, 693851011, 154122021, 968790234, 537729643, 785063539, 712924506, 224873313, 564570193, 793814400, 725032053, 671104592, 228132194, 981593256, 249252507, 24756327, 679947608, 262304832, 892568385, 506165821, 536860101, 544295896, 908105577, 206976793, 422367480, 345205613, 353383787, 902053476, 310550244, 724871644, 339782356, 264678584, 559743019, 598197265, 613295328, 565817125, 263716362, 148842316, 791935059, 340560800, 647609895, 640333074, 670917529, 741816263, 387732698, 654057624, 471224144, 400983004, 248303715, 895193060, 741654552, 702773481, 455773903, 989383658, 794666324, 615697762, 76008713, 902322780, 833909842, 568366969, 194664830, 230008047, 840767544, 354370256, 63027273, 888066917, 175656521, 11445824, 321601794, 97246519, 182402122, 295803320, 164325535, 460764790, 172241145, 925334383, 452098023, 951831796, 816458358, 254028331, 838055453, 842820593, 958246646, 232675906, 931644530, 966843696, 190726319, 337876763, 308428602, 152246316, 793572725, 331600747, 238342747, 978472520, 445977650, 771590032, 429402641, 356265099, 813114156, 435668554, 328775177, 826162490, 15214292, 980982005, 448801119, 770810601, 194213856, 519180718, 763444478, 38277670, 855482284, 126075838, 90472074, 109847947, 355676621, 299051294, 413079091, 748984016, 160364924, 537732304, 55246645, 339828442, 91460745, 681765440, 938499409, 600785349, 489774063, 422142535, 416909283, 395093071, 966776880, 351764812, 244338638, 410476495, 365196757, 413709526, 81989617, 977315678, 329596400, 978057906, 14044134, 218619731, 921812069, 199543754, 158763032, 151830804, 557448191, 920228698, 748473248, 254004579, 954640679, 689740041, 259223311, 131677030, 714287030, 708480969, 933011715, 62179299, 126917010, 389522027, 538917365, 557491392, 708306661, 423883500, 749101504, 712563592, 472870219, 985292464, 910805360, 640098480, 528287005, 917048301, 23737464, 942989119, 535490966, 352028148, 147796860, 493999454, 992837122, 259524200, 675629121, 912346197, 392764617, 169064049, 950208454, 258894607, 506178071, 105973942, 415171238, 101994024, 511335945, 71611851, 448722378, 973131989, 606642598, 192731803, 487788928, 408577674, 680996656, 377786811, 418261155, 272516239, 82659286, 335625756, 968276064, 318741763, 380979081, 856612603, 319696172, 877427358, 10022181, 440682877, 14256092, 442746377, 305625023, 414657842, 428546312, 257372516, 907178853, 774226775, 450269520, 318707109, 528706776, 314782409, 272917130, 182749173, 103771718, 771392224, 889362750, 322038033, 642056045, 769863562, 413570108, 824974461, 995118222, 268027428, 843790934, 208013332, 437910018, 684206342, 411926993, 811598108, 117752427, 275112328, 945694436, 920446810, 705246118, 303657750, 689000691, 107613705, 545621231, 774349584, 619455526, 239661803, 858991489, 675518171, 823249428, 973500902, 400504207, 854189613, 34632725, 568977308, 174283618, 229662878, 747442705, 684076390, 381359947, 477478599, 61349772, 209620104, 838633941, 598683227, 262652577, 282310021, 248452768, 988284317, 90393353, 704682389, 555652558, 855520663, 747301159, 677639742, 344100361, 965513939, 352501075, 445290248, 448308832, 965344280, 631729169, 335295721, 341560803, 514256132, 318430082, 698443260, 942878596, 392659042, 739956794, 306052988, 807077540, 967363701, 900572000, 684069416, 159136849, 247879675, 256296969, 451820528, 507233518, 495305849, 649312214, 950482152, 947697307, 757442036, 850341810, 731064131, 750231994, 259284933, 196597955, 83522720, 528272710, 905042751, 486525609, 485117201, 700555441, 193224048, 366945903, 637120070, 783027950, 26463423, 901660662, 523485361, 28697014, 431341136, 79670929, 500232861, 142203695, 115251379, 713618100, 363102328, 715379616, 769176714, 166465372, 511700037, 410395875, 793831882, 951682630, 981188162, 25207034, 145162367, 694604000, 572227300, 517241614, 763444789, 581340979, 951576200, 470194693, 918743494, 295985518, 929157380, 930847133, 724629772, 139982499, 62984224, 805866811, 306254984, 83217978, 113738620, 345338308, 668447623, 572662225, 35189229, 871016735, 364888927, 157081238, 945826079, 785195784, 384223971, 942005942, 96764265, 131242563, 109899630, 311996657, 882660605, 732076008, 47875581, 664703669, 823724610, 900119135, 271622520, 496872456, 365668015, 949067023, 408777403, 538363785, 925362418, 29791186, 706656108, 477683040, 944506024, 339953711, 719761163, 381296863, 936025500, 940131332, 352688994, 109673784, 633151318, 423673261, 405928200, 739859920, 616623775, 134826231, 946523066, 440173070, 201273999, 851102543, 187256004, 312423371, 38875908, 887463000, 3503832, 387199670, 244824157, 311946288, 981309406, 127246463, 35799916, 191353155, 130469630, 985033755, 574896099, 572521539, 281538238, 832869826, 867315361, 254648462, 973774234, 123825784, 569653829, 39035537, 104962316, 876438037, 377217212, 808328613, 845998404, 64535468, 102282502, 122900356, 214608267, 678454755, 932471769, 894645798, 873399727, 464805901, 563015566, 660110145, 893765478, 727138892, 462153990, 297726136, 697681310, 753683625, 463981476, 771643849, 127355052, 322863606, 2262938, 191714188, 185036580, 69425801, 2820816, 726010154, 633977627, 286799342, 329675561, 258101316, 674906355, 697881515, 936106667, 71262158, 72093230, 585375963, 223517490, 380065365, 125733941, 185175926, 352110624, 997708859, 902421103, 381277720, 387208173, 999886767, 433663407, 229614454, 508868076, 616807437, 997917214, 420481549, 314486592, 641761300, 39364810, 348125280, 93848129, 500985068, 265348944, 404504872, 178828217, 802160216, 614256718, 846122876, 679647044, 864688911, 638476433, 663537890, 429792826, 537794680, 111136156, 629250557, 275315198, 294685531, 650249552, 915921636, 590255399, 80646240, 627704077, 144347005, 824349797, 812984585, 994414631, 209882779, 833710718, 611404349, 963009823, 63541503, 77233503, 860330713, 308352582, 544554588, 783316880, 163382272, 668889060, 128985667, 925877052, 598257156, 529778657, 128430789, 955232877, 128700, 80349701, 251612752, 999763861, 835482422, 264543223, 798564130, 345165800, 638446335, 164999739, 749225798, 880709428, 432375294, 197583760, 927520111, 391232979, 304510800, 814207782, 766728882, 769353452, 95615545, 862830753, 921838285, 438341795, 912688204, 850470367, 794142568, 774453024, 890312836, 111788379, 810157, 385269309, 806664647, 738798769, 321720812, 397429559, 285323916, 16861129, 502082117, 500584115, 174549172, 370304120, 718830285, 344649166, 697348032, 932602849, 586506483, 275116303, 293669235, 884937310, 746603521, 506523972, 384060315, 182590934, 301774905, 133133022, 184594956, 879430538, 2038938, 590681068, 267117226, 955482146, 881527870, 751787332, 639238909, 106360909, 762164345, 160475819, 218960008, 281707110, 653642878, 291528929, 53579768, 175276056, 822006956, 37926288, 881841337, 694515423, 544110593, 44597251, 918862845, 531750628, 494668365, 440201415, 695085339, 224893935, 876107861, 882827194, 35335009, 218068667, 171364598, 515274083, 705054170, 591867945, 197725680, 32259623, 523470334, 870143260, 771300523, 575784771, 805397802, 456522344, 347239952, 449229168, 882409565, 226270736, 22602079, 787595245, 749466240, 348939768, 337334755, 39638608, 854090748, 930304340, 652114342, 437581760, 686528533, 258771193, 381223123, 855932759, 338204580, 890715163, 929021218, 423042889, 524534325, 622418076, 653845432, 923733807, 430453486, 608496317, 822992802, 851391791, 687669279, 861917975, 981663410, 403939953, 114642665, 407861596, 703360894, 281573612, 874745742, 332300994, 920660729, 673296896, 473299407, 871182245, 742453285, 32303082, 637698115, 309922329, 512596718, 174245852, 14592485, 430674126, 81931891, 336037481, 522276783, 532727431, 879294942, 543926451, 542306614, 262118888, 91759457, 741720351, 705491375, 703307775, 630986275, 476803671, 58356822, 973536119, 384916859, 830043503, 475955053, 445156617, 685369644, 972171710, 381357790, 594955442, 641301166, 669583732, 151110314, 122513467, 825536648, 61798897, 619607828, 139681312, 40017872, 42526746, 762686940, 623216423, 321602560, 847723293, 642172594, 131104479, 608907738, 438120754, 635065113, 356221645, 283980573, 517035742, 265742780, 831068701, 451169548, 554768749, 797506972, 958875767, 163739725, 740987184, 836383930, 504505026, 869214651, 285917730, 539539603, 12040476, 741770405, 245066216, 750127583, 270600152, 152717269, 543149391, 324316214, 560656728, 569888085, 709226977, 722532162, 806237210, 568948756, 727569017, 665430942, 673913372, 965985082, 411152767, 105080178, 797630901, 98835914, 949543399, 987140151, 239715237, 977926399, 917238705, 644629853, 315261824, 185175100, 581810049, 291736736, 788305306, 626134982, 247481272, 266973130, 330732457, 439259257, 989610386, 416587897, 36851835, 335961673, 758855607, 961515146, 448486767, 457670344, 216771555, 651355235, 864484555, 625886304, 678167696, 98198178, 617614858, 122180256, 243660051, 172441807, 654085811, 867125175, 810152371, 100921472, 419735394, 625189788, 424950610, 735863858, 157795894, 685320849, 30717151, 517710009, 156743164, 857428017, 222361332, 605247789, 812913695, 873720664, 57059210, 132314601, 616479199, 433691497, 427897623, 190246301, 727680809, 126656621, 530348708, 399542028, 744188470, 261174226, 239511018, 37315222, 558259197, 712667221, 390123681, 68436236, 77094373, 955540657, 479513281, 921313234, 402966769, 668975742, 928066976, 48174814, 325109749, 880495439, 357113227, 116916359, 243616187, 422016270, 922207251, 212874699, 124786887, 395768726, 293876385, 369594896, 81260699, 546646590, 975278228, 800427611, 449811022, 459410450, 402125056, 831283513, 37495652, 488015043, 742742790, 840808700, 693960677, 557791072, 681033200, 200847345, 19838786, 593451935, 122622020, 106655500, 373033515, 688540551, 104378388, 581426371, 584463368, 718568544, 127646390, 717583279, 645626251, 591146316, 775460503, 92412034, 170100961, 825764520, 869012208, 464577533, 375135727, 743533286, 40492962, 94461370, 273929227, 663917843, 758773074, 664172494, 893832411, 427326827, 670097112, 190887713, 173807789, 982743582, 215947260, 760608162, 730674440, 46674450, 903164787, 361479928, 88879931, 820165303, 663750787, 400231364, 185959629, 963791906, 590232477, 315354128, 33331520, 176829264, 923576202, 196156334, 697581350, 626375012, 404787605, 640763847, 930927503, 328512526, 811996542, 653470381, 794246178, 211569224, 40478865, 227869437, 488832447, 320712038, 577163685, 286929019, 855914972, 394641497, 266222326, 688396814, 237951474, 474647182, 747598166, 647104170, 567216984, 828889397, 427247119, 28659705, 459443657, 587167564, 264951327, 320890717, 368234864, 47777410, 452453038, 921286540, 560547196, 958411597, 820361374, 371549303, 220074465, 486445902, 995537423, 615477603, 999817851, 585858374, 505847325, 602435131, 991353075, 90224972, 388724876, 530205587, 208705459, 978920991, 714222546, 378704705, 867211259, 131135897, 34919529, 552616246, 760447980, 475958905, 347189443, 338679637, 614837889, 622273224, 152479006, 95256598, 155838430, 290560300, 188239608, 265842987, 352830847, 807295011, 918909254, 644520085, 819799815, 807294323, 48741207, 387624044, 791954730, 961052720, 813822603, 600668452, 447819241, 518358906, 37564246, 923326816, 544867615, 307807045, 445858007, 248232427, 454738699, 39968256, 889315128, 79043969, 442767786, 73433426, 628011229, 785470146, 642193942, 881556907, 572690886, 653910656, 927090798, 559262750, 168725739, 323619038, 349233080, 920377628, 893116861, 331359102, 741675202, 85892562, 878833251, 978240009, 437581441, 956968588, 195127647, 987073822, 673920036, 180080352, 825111958, 185500967, 186134329, 94873339, 407693504, 698935924, 684831342, 782444163, 17742704, 123630431, 275958888, 571828338, 361899968, 349618415, 128343390, 610410179, 706210951, 232202646, 107643413, 133362785, 368633009, 414950126, 459331484, 764217865, 968854625, 33576192, 87977043, 119603327, 818420617, 208147329, 412849925, 966439421, 19261629, 837812073, 211503748, 318617576, 366458523, 279978993, 238148943, 458787494, 844460344, 819529433, 716116339, 766346722, 612079361, 466883122, 38768749, 668596478, 321689783, 875859319, 732243382, 690443533, 737518094, 618741195, 540577597, 17067091, 629026951, 306211025, 115873160, 998011411, 853745809, 616127598, 734669703, 658766328, 182166568, 776341604, 623278328, 597293638, 544183780, 922294873, 374265284, 570470761, 419754042, 759350557, 175999503, 116358094, 671865539, 377817509, 933703054, 291359294, 988847998, 810434930, 619014530, 94086979, 150766695, 581908493, 729661839, 867221695, 479105681, 8841617, 921614194, 713057443, 842290960, 586311329, 29176592, 587017613, 874544882, 280643074, 906791035, 785750528, 283148162, 12187136, 194655973, 43309834, 477330976, 133251619, 98469121, 752759514, 794303233, 19094212, 831406988, 66186066, 204352028, 987420632, 91366895, 90552169, 248685431, 627916193, 717092819, 999244467, 837258056, 975452249, 918408080, 372155467, 550737082, 877496210, 396804016, 5468682, 820722114, 559965445, 417600280, 280048792, 767380121, 853167699, 116734490, 419225678, 159662091, 688883249, 251684835, 778412921, 636217921, 774208309, 271219763, 36792462, 98654136, 208518775, 528445879, 57723910, 628952593, 467423542, 605815403, 197659164, 813305420, 21986121, 953049163, 442187677, 260713906, 863133348, 474441761, 587590062, 922051441, 250498541, 665676883, 953186200, 659188410, 756531726, 866396295, 726376117, 645436762, 264030924, 415783292, 976046457, 377975358, 746114090, 777838489, 346914008, 182974702, 531492362, 59867346, 839500544, 665630650, 396608053, 378032483, 929256120, 985530235, 316937351, 274357663, 737974303, 709028358, 97825036, 608162639, 910678507, 286634391, 306816368, 453174146, 288246539, 727770263, 180442525, 596076757, 640003318, 537775396, 974491915, 246294504, 741267978, 721832951, 118106386, 319220458, 813232871, 255882537, 406915683, 917944079, 578604217, 541810101, 681666858, 22483301, 244260246, 468851005, 529602079, 819865439, 552431281, 347912230, 591541617, 254501166, 869031648, 586929810, 763414540, 623329786, 15562637, 19383800, 573515579, 405695436, 677831419, 77125076, 597516288, 114973785, 365159060, 85253869, 181872957, 846539000, 869944897, 426463230, 596071074, 789936387, 483566722, 734888840, 244436691, 597733845, 115881726, 879935515, 888034669, 675448506, 164140971, 771018330, 968541769, 157136987, 785205516, 219479274, 24423877, 435751612, 546097856, 733407154, 227161648, 367955487, 684885180, 550122989, 960434773, 787978019, 28096113, 159615158, 556525625, 935208301, 850825835, 758043798, 558723117, 260357670, 832376701, 551844912, 9037664, 70126641, 972974109, 443826219, 989096137, 721400349, 311307122, 676385871, 724430806, 792623434, 608104757, 266738125, 539629022, 884226369, 843292947, 606497020, 238996751, 151091091, 65802764, 586306478, 755457071, 325481320, 682620539, 461271456, 785189439, 985889856, 287018156, 224168359, 568325280, 92320195, 406228944, 476828602, 58690505, 463186163, 49392113, 492110736, 28891896, 54557198, 56684131, 15350761, 884056248, 489247276, 242464540, 871240281, 188424735, 586959990, 492756594, 580649279, 734223054, 986824993, 466077268, 213235395, 594503681, 192444036, 519385543, 863633155, 632958168, 805228021, 597726784, 445117631, 945306305, 652218659, 702207465, 928911805, 984482742, 584429906, 702928876, 962292494, 952069223, 435485092, 977705066, 358987145, 965879954, 846014219, 583044688, 221506755, 376581195, 901195607, 136417385, 471448395, 988727094, 720939150, 167683559, 289287305, 237062080, 227625425, 95765024, 523019585, 911131599, 916657507, 235744473, 264586789, 650375957, 21278225, 322877419, 534956862, 65142945, 207164080, 412577293, 236698399, 415466325, 35044311, 607500564, 323521473, 104546821, 493836617, 627732955, 244929518, 194116809, 823735298, 75412787, 286333094, 575738484, 406552821, 949876463, 454033455, 127615716, 63599387, 248902419, 543283401, 827040942, 597088274, 464663718, 70801270, 503694485, 739436130, 793351815, 86187037, 745793826, 67757025, 815178335, 804185060, 396509277, 352558005, 584686909, 426204879, 662205226, 30645961, 574226735, 898725912, 417490804, 627656384, 989039546, 529838682, 148253772, 57695215, 83485749, 920635026, 806247634, 496755410, 739373926, 493671140, 476056085, 975397154, 673924673, 110949088, 24956187, 275458074, 191202126, 875503129, 624102564, 993448207, 135230123, 444620806, 978740284, 251544104, 606062024, 218217864, 470875597, 152047928, 83756252, 992479154, 663075320, 799485823, 938344264, 537932167, 945959906, 371193914, 432098964, 351774996, 522865845, 558241995, 800205675, 574721633, 792016903, 625733095, 683430121, 805172678, 750865396, 923208764, 635499644, 453445541, 277420911, 76921109, 836046427, 760571086, 751629600, 663474170, 322241151, 576611210, 231320655, 289673826, 656395732, 265844534, 298931073, 69939028, 447549195, 259878972, 211513085, 552119613, 338657612, 896992981, 271108571, 644853908, 608210120, 667562036, 605439405, 175174104, 714074195, 296878134, 364310949, 349462631, 244966883, 131813135, 258534074, 640223262, 393015697, 959432959, 504637734, 29582834, 607207112, 886849226, 984945956, 427864287, 372464490, 995938842, 205040759, 587438732, 364189507, 634487581, 910802534, 20723340, 992832600, 74383618, 540255983, 178643940, 515304333, 697002019, 891276032, 457279798, 880330865, 156196674, 671464386, 353694316, 616245022, 452584318, 865890288, 692213815, 192854694, 784024323, 526380404, 275020369, 236611918, 167049483, 470125573, 886696210, 128346577, 123509498, 501322194, 747992671, 589325131, 20557281, 267752541, 544445034, 478619007, 358665615, 642544898, 310575894, 729250131, 218718383, 685840054, 755182505, 161335747, 104779653, 497274556, 112539584, 140604702, 722724249, 114978663, 882951608, 73774842, 27515275, 949613311, 822293288, 480843927, 398687573, 557313357, 747278567, 478299696, 730036901, 482774309, 315100133, 326398075, 754929374, 22124239, 308812122, 185080306, 477269220, 934807130, 462450862, 461216332, 555045415, 838890931, 182626124, 798241483, 635710947, 3955116, 635089401, 203974469, 403642, 441094613, 549271549, 678094364, 225244265, 502058387, 827555373, 408597422, 774374424, 78564984, 986873249, 805971185, 488113118, 296890697, 188678363, 650534508, 939023656, 712335322, 1592039, 524604504, 827735120, 98905262, 765178526, 321356743, 805457688, 615850837, 344213225, 473866428, 789428627, 327163611, 814095241, 203768296, 307074401, 988585802, 103231948, 932858164, 963300965, 739997984, 803461939, 698695066, 822233733, 547119767, 770356325, 69073489, 713214265, 95410730, 99055474, 2506809, 265734513, 902491601, 597558802, 713499292, 26574927, 419279433, 885266562, 42856806, 811468396, 259578171, 65762810, 934752106, 934317321, 750743497, 800617882, 27784585, 365585274, 630330414, 322082518, 508054707, 499706678, 441666197, 291394971, 214552982, 417449979, 264242186, 507283058, 974467940, 962032555, 100050859, 326994714, 653190982, 763058455, 112788398, 534012987, 881285456, 706659382, 680299958, 14270206, 536762174, 8670249, 645726452, 231751588, 72834745, 671214185, 158038351, 485580632, 814400712, 160539216, 638678275, 116343253, 432145349, 733755915, 375566454, 574020674, 945942401, 994671464, 726138910, 90268414, 572758825, 598776869, 664942258, 417223974, 528151091, 52039924, 519505567, 715151781, 577293308, 569467608, 923947416, 741666250, 886163163, 908765625, 584305937, 886605588, 197920972, 429716492, 600676760, 89791971, 144690243, 177067030, 838705323, 567169154, 853754432, 818506794, 978524416, 244814710, 295072036, 300511460, 661177167, 465430791, 387806586, 35178273, 966404691, 322969652, 317319303, 271441355, 249613386, 774996725, 770230632, 705096114, 875514064, 514480519, 41870930, 386588785, 631355561, 809381170, 559659682, 987435199, 727449648, 27885941, 286982534, 376452376, 806312998, 763820150, 714149379, 590347896, 275028487, 301792224, 875431535, 154842297, 499239850, 996979165, 442051087, 660032634, 855066738, 817504431, 594899863, 839170061, 574808810, 910058025, 202445624, 819424614, 604506266, 187593671, 795458782, 982408627, 190388222, 66539501, 819894552, 109449551, 551815730, 138427707, 718686425, 325424027, 853298335, 350635873, 254271870, 286420730, 378063951, 757812959, 179863611, 512278302, 604208473, 546119390, 408476561, 975885089, 775155433, 912560899, 361528907, 224213317, 785818728, 382330574, 593435055, 3049416, 342341873, 223660904, 958324914, 498445820, 438784467, 23609675, 670801514, 224128342, 915855771, 568204873, 112674180, 494010177, 679930327, 276321998, 95748372, 651481466, 293729616, 622287685, 531897402, 234970010, 167623426, 976591775, 48464207, 793046571, 879302867, 939252967, 900673271, 764722449, 400670317, 390298060, 741661107, 97291975, 615860962, 374917427, 51141771, 90366775, 549996110, 56738575, 804432113, 897318687, 872741699, 513817778, 646317692, 378340935, 586502881, 939111789, 671310899, 773042077, 316117506, 119832425, 126550698, 322357177, 677955060, 139594989, 66660934, 98604438, 286056356, 413506561, 967271786, 925185029, 547057289, 241234799, 20973757, 303756585, 570469771, 358458676, 642875309, 202033346, 395514480, 127340927, 130155927, 622914628, 263168819, 607135260, 772431455, 805329271, 405730914, 284552024, 978725660, 750564148, 887972248, 521369553, 213319637, 725733271, 196138345, 77276052, 16120543, 183087899, 851836881, 978857989, 646627237, 390044860, 532365562, 68956352, 92151982, 382082281, 279428743, 568550334, 541196261, 891383701, 595643416, 816782801, 564628579, 808504904, 332864535, 43646124, 712669536, 692657966, 702252816, 728252287, 921385943, 291011040, 861432503, 844316702, 703608330, 433124203, 137728672, 912260831, 10788755, 361717181, 603583979, 976196390, 912135729, 164205435, 126515274, 595706121, 206651770, 842457460, 415475079, 505558851, 529389237, 75974270, 81907469, 685289488, 996170527, 10743788, 404101784, 612324872, 46948140, 431320315, 199891061, 531360566, 534978572, 783379028, 404588829, 526882790, 501269090, 29360185, 934559905, 600049059, 930491802, 721052593, 121506896, 117318322, 336574422, 703071355, 867802218, 524004494, 403294329, 529328624, 199766438, 387856338, 201066863, 826312427, 230860127, 401664811, 138054467, 466178485, 786425869, 846981328, 828918982, 26813705, 350297955, 750808002, 847279810, 654458467, 318989954, 279850322, 582724686, 530716661, 207769267, 765562612, 786026920, 197858616, 71466300, 726650354, 984652523, 999935642, 305613574, 542801023, 427502343, 407956760, 14391474, 380735536, 670480931, 641693718, 401942290, 407714521, 671653383, 114869144, 987907964, 160427615, 915329440, 869418214, 770155037, 664844463, 43180135, 168545711, 239479629, 805201598, 955651589, 20687245, 178806002, 868880027, 672610356, 806033607, 304027735, 101465749, 18050953, 177236804, 990059411, 751947054, 83572651, 492263594, 579755793, 88337688, 327142754, 655282189, 156560313, 594778269, 246350684, 425614646, 384353146, 45621067, 430017065, 763352562, 195360968, 707744967, 330244762, 980734244, 11350546, 925023040, 494604491, 109645983, 733456857, 781526638, 774778620, 623166809, 846352856, 40533802, 384053882, 533957030, 506049220, 27411621, 752969920, 770606010, 871882787, 326287859, 532643030, 327689101, 732731186, 686732398, 234214658, 362065542, 591108121, 633268709, 726187757, 771534415, 773373102, 692962841, 460139793, 932444051, 196186309, 634109831, 423471814, 590422037, 404710419, 925958441, 426086976, 36206926, 427247757, 197321079, 857393206, 637432807, 645529433, 281499134, 449063048, 66914723, 823482207, 13663360, 750421351, 917018520, 445194179, 267146737, 349953696, 971035691, 47318453, 204714347, 982129211, 705516410, 134109671, 314368396, 153579740, 769754189, 341012188, 644273372, 184168526, 664680987, 382175847, 897595710, 953188846, 157901401, 6623272, 324411895, 39500340, 861917557, 699505808, 595628060, 399336621, 406266724, 446215823, 185777039, 963546155, 303213193, 772338872, 274203224, 646103995, 722638769, 795290923, 534473675, 440917965, 585977529, 380555784, 205969671, 503722980, 621859330, 978524402, 915245617, 279753588, 173549910, 35132363, 776907769, 235326925, 643765214, 182887085, 960869071, 817410933, 681461437, 733015801, 275977318, 843773276, 784228299, 75959967, 635809403, 716330315, 349903503, 231086842, 916403627, 828459117, 680279965, 924519048, 236194083, 822721129, 538071040, 718010321, 874929884, 491330478, 477822112, 763086454, 124882195, 948797441, 697783226, 951621665, 576773247, 511834351, 780984364, 513457886, 355931958, 459988953, 415418116, 199070362, 853824951, 126995199, 476348276, 733020297, 104903497, 408492762, 285148489, 738054843, 42511272, 523864560, 269236745, 720603332, 41183000, 374270323, 77722088, 942713050, 654839700, 623268294, 478995796, 551904652, 237271718, 931503986, 645209865, 446385239, 420671794, 239276607, 303945172, 561625181, 667012511, 648014184, 219099845, 494080490, 474458068, 312001033, 150563969, 674205499, 351454429, 370890573, 296302475, 809946356, 691238254, 434811867, 289132865, 839403619, 870621080, 233612159, 280249248, 540742236, 538593058, 537403092, 325171612, 636434509, 892866055, 592264551, 249235249, 276316574, 163894902, 611021312, 561570938, 345544652, 833046772, 462162414, 369194321, 563984211, 276954621, 329769128, 182275916, 467556857, 100016303, 595128772, 51445408, 38302155, 528407933, 590298651, 43180779, 811518179, 153773300, 171519648, 803376791, 415949282, 817114465, 702926121, 961888586, 563047977, 554871028, 892424034, 600197113, 102023217, 967685433, 710354346, 297007060, 572495976, 914653866, 420543136, 320375609, 732060881, 181900514, 414104246, 844367071, 61985727, 471935821, 736133721, 224224100, 820188859, 774364484, 658685584, 783567300, 894719885, 902437169, 450293422, 537614304, 603003673, 695527677, 33477364, 373317106, 843541334, 305154916, 452356929, 834788983, 943890885, 445899667, 79851031, 108186146, 452070576, 92387170, 331156868, 275245877, 296416839, 936640360, 685831130, 868812989, 915596066, 678972807, 754249988, 406167568, 160681810, 660958811, 801603577, 947578752, 502651831, 912770141, 437664415, 627559790, 315623856, 263278599, 56070131, 926167700, 147350937, 601383020, 621413940, 343087776, 251881850, 525406698, 265803238, 471572691, 637436028, 587102849, 363901548, 590504900, 891306181, 366371033, 325488875, 667100227, 516704324, 16879300, 362378545, 190040034, 540504494, 975343646, 234430331, 815218222, 461693743, 820876620, 144793822, 142995887, 456319093, 132922305, 752114655, 767188848, 95934703, 613972664, 834423381, 918805792, 235493147, 72559876, 209897844, 992815670, 138900484, 292876180, 315567952, 947986497, 950650058, 380468913, 419365845, 717698624, 130401724, 615955603, 295089303, 139727018, 859088438, 495165904, 641635218, 646776510, 25275977, 568932960, 915466186, 177263414, 123119015, 222808544, 601531433, 320686271, 38657674, 33341563, 540484864, 176427122, 478048767, 711210909, 96693174, 555230597, 218650209, 999282939, 826849027, 720295236, 211238214, 52698506, 613914477, 194109098, 876710066, 740138593, 609597647, 829699314, 193911959, 600063819, 914668029, 402069880, 504001455, 831306027, 495271578, 642362942, 545055197, 322599862, 921843493, 104401477, 244222994, 865026305, 482608882, 279862423, 164476967, 736868035, 188542687, 760615120, 14413673, 847067883, 913467119, 673951911, 492066128, 907837021, 836633958, 312762616, 929953324, 860290954, 174302586, 306718652, 556027318, 691973675, 907135332, 198313673, 884292464, 829716890, 447890050, 341940186, 560612745, 541737591, 726742527, 335317368, 822330113, 875628287, 17438720, 828233949, 416362631, 214929144, 3655356, 164785001, 267643460, 654887575, 894986394, 102336681, 507531493, 447079009, 722100891, 20397053, 17640550, 565513073, 555350345, 592767495, 428176895, 242137443, 476998216, 623941632, 297492083, 579885130, 748672385, 936813735, 146638073, 476767361, 834389850, 658253321, 50349432, 659061798, 67496531, 470026459, 193340410, 514301136, 298893713, 578774448, 138473231, 703492494, 60103250, 898739995, 926685585, 423813353, 175530585, 680684771, 39364359, 283130905, 940338496, 113125389, 157570241, 47994871, 832795239, 5287096, 684437057, 615554685, 96208823, 761568288, 923726072, 995358813, 452670317, 371753118, 511939459, 965163604, 226371662, 20183866, 577406537, 115436603, 615331239, 632008506, 949151680, 460183828, 833132391, 318461745, 839343205, 269025128, 968404852, 821455476, 211957250, 158729405, 659098138, 425183001, 161100921, 286700588, 950509483, 178645800, 748229213, 890509064, 57207506, 623516070, 708365332, 88099293, 518176507, 700815364, 332104718, 697974528, 899117691, 403656851, 238124293, 177788700, 654046185, 210279692, 53715410, 478439060, 145821513, 897727942, 854418278, 413765749, 132758185, 476540988, 315307553, 848485705, 315803239, 10390200, 308922453, 815043257, 712833573, 283271309, 525858563, 427009938, 46003245, 915641768, 225010458, 191377149, 444792935, 664680927, 737914454, 477515571, 635590664, 835569692, 7152073, 501997554, 13932364, 471668042, 86511176, 756563600, 837976086, 755841568, 813963085, 553473580, 715181114, 953336989, 273765479, 675197462, 520153248, 641267624, 463850910, 586355695, 434218453, 613107372, 794543421, 1020046, 645121407, 384033994, 855521433, 838143419, 319343479, 577747873, 839795879, 393362941, 516893158, 82301763, 290362167, 856685045, 247905434, 324047179, 680227096, 397059343, 278976432, 661203055, 206890045, 747767444, 263966943, 524255474, 422212147, 816669601, 237991583, 26848067, 242694713, 154316093, 945187521, 724032888, 148203675, 795503055, 45531841, 240922095, 400387137, 593490876, 410802113, 605077910, 467869353, 114769798, 643420920, 768644737, 604600101, 198026422, 901107088, 966098664, 497700068, 984510086, 616658039, 394513213, 246638263, 663153727, 617467370, 562945366, 265218043, 847516105, 279492707, 836617384, 425971442, 367691207, 887841400, 503666251, 829708904, 616201951, 185966599, 292534372, 460296313, 246522171, 649891094, 888886999, 528523662, 517663184, 785897101, 988035429, 486120222, 158370017, 247343432, 99206430, 892283992, 569724163, 377857525, 647734522, 409790203, 322352773, 846730733, 176163705, 993413861, 155232264, 654867959, 723801216, 259419176, 905445859, 672697451, 40399767, 43603995, 220183154, 294954692, 849566077, 792790812, 303040515, 517692657, 22080115, 53469171, 860233062, 611713004, 740257910, 21628858, 672580967, 7593955, 638089828, 778416092, 457271664, 713404687, 901144298, 900535664, 40531342, 475392485, 198767070, 124663139, 717919240, 934132322, 536521176, 680046757, 592662421, 997223762, 119524533, 664899813, 760523929, 201051606, 311331045, 415806946, 753830269, 412496812, 147548382, 608368035, 194579471, 116084263, 986062917, 999940801, 437534855, 38449069, 54384647, 612885065, 733918673, 169794969, 374219835, 348546857, 723290481, 180481761, 22538372, 549259245, 736514491, 833803556, 359241938, 514046896, 307173066, 538026579, 544430343, 272220015, 617060573, 966698457, 105510039, 659930004, 506529112, 832853879, 220941040, 926095080, 499825836, 296781069, 140097163, 918958313, 92814395, 892839224, 115154020, 1669334, 645032602, 668333186, 494717080, 501577952, 89370274, 648260252, 147084787, 23125469, 371742017, 488512437, 196656685, 609167227, 37884310, 768020659, 36765915, 428090371, 299611919, 966056617, 595916781, 27992170, 110187565, 347338454, 296106245, 499376143, 190262380, 976364813, 388733277, 20458164, 836844912, 675424168, 440540651, 260987632, 197538201, 65570069, 938318065, 208066606, 72169826, 898198784, 739976140, 67660710, 552462689, 211721968, 319356794, 823296503, 348843836, 317729328, 591876466, 351571143, 33153205, 206665763, 21316827, 722227926, 128141207, 554926784, 94943272, 440968713, 560071080, 501315404, 901560510, 661041883, 284158196, 163010720, 796978096, 484608235, 185460979, 582897248, 6416710, 143436971, 226260741, 196744862, 607171540, 703420602, 4245468, 606075394, 402308263, 719825292, 671348888, 758684337, 745097348, 497264234, 697604287, 918632439, 530980022, 436519731, 308544879, 824361791, 994845113, 381649894, 540073170, 676718674, 337866028, 70966995, 306918437, 901227815, 597622729, 523582088, 784340209, 182599319, 608561047, 167502578, 808823195, 508056705, 630383054, 684401167, 744330752, 923247274, 435031887, 832934442, 845125429, 29788829, 243960280, 2564289, 20366529, 631014583, 419398325, 30371791, 166766004, 133463985, 363355516, 782464838, 424939430, 126855619, 22290180, 389086101, 420461061, 556955553, 347296987, 715918163, 367337305, 193271334, 360722279, 560316853, 526316198, 963878882, 373568006, 588778073, 878633476, 184177768, 437611984, 151562606, 662198590, 400701275, 376594002, 104522546, 204970609, 268843498, 748551872, 138635369, 428116776, 299090758, 153409908, 332571776, 127147422, 347901476, 14256459, 37963537, 479191517, 655348984, 500056576, 330696011, 918953611, 803887228, 234725879, 926686411, 723567914, 629879454, 955939381, 185983973, 476720855, 377389831, 991736325, 247774440, 924339126, 328944639, 372139135, 30746903, 865619518, 787362034, 480309016, 935344352, 478254609, 949604089, 681367044, 674086284, 576288736, 104558710, 904907013, 34398891, 911766899, 83583147, 416672108, 529401400, 73099522, 636709918, 900779777, 51034873, 303489032, 312083484, 678253112, 245506416, 203461683, 608974611, 489270666, 880036793, 664203533, 891661301, 2804095, 154192147, 860905245, 715044268, 339761117, 871997873, 60780173, 555715589, 135230786, 306651561, 275955609, 406290494, 682069929, 709184634, 719736247, 796253432, 574436903, 445152394, 707521650, 372432375, 414457367, 433570691, 723731401, 348107849, 571509039, 243727678, 835106433, 753936018, 411762019, 116215490, 15286026, 147017079, 231273084, 266864420, 197777750, 427271733, 115058887, 401850615, 575254191, 336069694, 174508222, 51115836, 720492340, 535245458, 735194248, 575313530, 827544079, 250287243, 789442265, 968220057, 886013656, 718398043, 829456253, 253086529, 480935146, 864334124, 370801299, 500981434, 89885000, 674332296, 91766048, 237234052, 114787108, 628054285, 616895300, 308803462, 141604843, 510611067, 211800585, 258383305, 538507370, 612943068, 127418360, 980299367, 571271532, 817651130, 635872327, 660018072, 680017800, 270785276, 588694653, 993937037, 91729047, 138614043, 64300901, 436153885, 856311564, 307281716, 786197757, 492466916, 55150247, 637799827, 291737391, 306197395, 334367952, 675096250, 535171341, 35105564, 326509034, 702092213, 611975464, 503028040, 188087380, 79929325, 407336906, 671889287, 593162842, 416030260, 615719523, 807960229, 661744918, 838316273, 859436071, 871569305, 765501855, 154840577, 755001489, 666144786, 348068997, 488998370, 779700427, 38345468, 643262701, 509498174, 905227375, 491183951, 492630548, 153139353, 343069959, 801976972, 214053804, 248791388, 866214699, 56565399, 837241217, 240691769, 459146758, 980099187, 62886175, 568700650, 173815688, 96921164, 708626879, 31965500, 512687679, 65574023, 742231721, 915559680, 48437455, 933204085, 763225172, 912261891, 948090827, 798084292, 916916547, 966707075, 700065856, 210963937, 379571648, 846978766, 584864532, 609231764, 440655051, 304524379, 633927846, 46738658, 995320932, 249110868, 187847220, 953313517, 687579615, 81877344, 583342271, 158410804, 703290615, 639023995, 633534132, 181582285, 151382978, 503011822, 292627432, 684530370, 933886687, 733544460, 628909297, 347942319, 263637585, 119755559, 593479292, 398855628, 105944223, 89829342, 214384316, 547082276, 996952400, 889476017, 986820801, 234525462, 714726030, 94573995, 194287341, 551523039, 293993938, 17407829, 998186221, 970015319, 26562866, 732571879, 83384526, 336824733, 880008609, 6622283, 907851385, 368392612, 641240987, 559465269, 245794340, 872751952, 254004691, 899144520, 413399243, 398787510, 702464228, 205930289, 971317457, 995311038, 896068555, 94604044, 506439332, 4525421, 890487787, 239714593, 890155884, 222936380, 809794957, 297886483, 835627849, 794298185, 99599752, 497008734, 40062579, 423568794, 454486976, 726158391, 372636689, 893360805, 549443150, 349026482, 172818696, 134885415, 119273865, 909085311, 606264296, 902540145, 982598355, 318240682, 620338598, 346495516, 961879071, 89684885, 879138238, 611780731, 477956795, 333558486, 419188555, 119388611, 719705490, 694641619, 952629301, 500380852, 484546615, 658112594, 174919436, 573291294, 341425267, 692242050, 728369704, 758897235, 952828418, 47038124, 911226302, 82407010, 398127652, 79199623, 848207030, 44380156, 131701140, 823792444, 99469898, 936544572, 440532809, 366109597, 997718003, 857979138, 356885468, 777226787, 482696700, 572259390, 965415114, 543433947, 119446161, 45117111, 653442769, 38738629, 548170071, 501933239, 989020890, 953294315, 537852787, 288745347, 570444267, 971852376, 289254684, 243671291, 618595801, 588800025, 511757513, 991094535, 951827228, 205056252, 655644882, 844425358, 740018699, 741723617, 740002077, 710375996, 352206755, 956311673, 596690368, 234503169, 678998720, 109002451, 167801007, 773253513, 814689089, 674771042, 584694066, 952677528, 130863541, 946278786, 677130471, 740412761, 194400645, 650638869, 400921381, 63069315, 959653202, 484328420, 241037160, 366140585, 934482926, 721207660, 723063889, 215537287, 587615651, 918480568, 452333009, 739135417, 390158764, 838528392, 553033667, 547211375, 540822338, 940535392, 46220202, 285031622, 72870692, 599207803, 14585891, 553246034, 558183089, 268556482, 737129481, 764631959, 330139990, 67377040, 735108123, 750782183, 759727687, 924062618, 849391813, 572756593, 557649511, 455922732, 165157339, 843974048, 160778373, 169566099, 697068715, 31647665, 824052043, 287114112, 46339934, 550050885, 382928114, 108420237, 674746580, 252223926, 123376108, 567829532, 327638670, 790945042, 308170094, 445359262, 235548571, 243118513, 148520842, 659086789, 668026880, 379705513, 932170970, 307716568, 855175467, 395296817, 639190883, 653049225, 97595854, 791793633, 544709389, 193103137, 219425975, 735281959, 243703471, 763306041, 374483666, 838369298, 992498978, 639253473, 547803011, 383639031, 245043948, 844625039, 316841306, 320509026, 754159067, 400823942, 973800626, 429805070, 122863771, 850691829, 865749942, 115080483, 275585674, 228440964, 137638545, 465947545, 975058262, 264397549, 713118066, 941935905, 7593033, 494206785, 575556865, 281494797, 992266180, 596692491, 347542292, 798232030, 305703874, 474844267, 209109326, 498423357, 330877418, 723179561, 337868996, 7452623, 831131930, 202967560, 335142427, 809752833, 859484418, 632073917, 996965058, 741388417, 652402396, 287151310, 31409926, 875119226, 9319459, 296527219, 868966899, 195642491, 689040885, 299528237, 324724001, 306848304, 139417170, 843523579, 240097071, 993376313, 456123381, 15020355, 925721671, 29088463, 64445687, 585354243, 633012089, 940581352, 511083292, 18657706, 196808956, 595429931, 883385386, 634260849, 261144832, 26356571, 336735998, 337647088, 865752521, 849825310, 382497617, 453776525, 72407340, 507099110, 446874228, 758225897, 684068506, 591438794, 249431821, 729983964, 305490198, 271178924, 245641532, 264983633, 374335978, 370677796, 670035326, 132836486, 291274670, 362778590, 62781286, 563991464, 49998203, 128594057, 414695656, 234876667, 351287459, 954446844, 635466718, 654372788, 61324826, 668988704, 378260576, 93829519, 770211287, 964598146, 977534326, 936017378, 540114112, 587751274, 486934700, 961627845, 304504072, 753996992, 112363365, 364301282, 980794915, 36930460, 636529782, 758986689, 836519912, 21742302, 117727023, 331393166, 183904635, 928243868, 401250250, 678955563, 594345092, 908009695, 261793282, 887020965, 401664969, 791403188, 83576262, 102538832, 298658588, 882017163, 609462730, 912228499, 90889578, 680638849, 705817768, 977596314, 87056142, 869370708, 435535481, 23848002, 264344942, 862681715, 212396864, 925052164, 170524036, 3645807, 189267013, 74596197, 418544773, 628845578, 877730725, 39815300, 151130790, 337863074, 916178421, 552938533, 289215807, 621689275, 775609286, 312392128, 779997964, 739778818, 756016200, 289064309, 128222212, 391722406, 498593025, 819706441, 75885901, 497954257, 777133448, 351412775, 161810140, 226766222, 41810522, 979702354, 888925399, 851147738, 503595926, 675389332, 399814273, 804326985, 266357228, 71241623, 161342573, 271683228, 623009996, 607989034, 64734153, 297862084, 515958467, 423902678, 843213037, 84695643, 48509604, 138072235, 495758895, 524797466, 567255076, 934241597, 34827542, 297850098, 73952001, 383326568, 129158754, 21640925, 144498584, 98480378, 410237571, 626839123, 117557783, 39545461, 720844289, 805063465, 270447093, 913731074, 715238001, 588822135, 201956343, 180662181, 964856668, 317033667, 768209155, 949143379, 668248565, 641033297, 356495854, 580365767, 288875043, 391789824, 258976123, 886103524, 482337620, 473086104, 816334415, 949737667, 768727236, 977207608, 189287698, 190603024, 514142475, 633973954, 977077483, 418768023, 307928665, 659870404, 212307058, 755779302, 161847536, 924725543, 813681466, 750422338, 487929323, 929630104, 483752278, 33049920, 398334893, 26510537, 765781294, 569238289, 520203927, 846247476, 334137773, 203398137, 345801643, 807522726, 766675351, 703884431, 123873030, 541713672, 634185667, 969083505, 723861133, 443875298, 576881629, 554610568, 815609257, 138261723, 923210809, 535907730, 636715143, 916857974, 315843936, 154315421, 353531911, 303980333, 165665766, 163117359, 425984064, 583264162, 462889545, 905945735, 460259903, 792109269, 246864269, 399696160, 670467552, 854048077, 794575679, 976189174, 554584260, 237391658, 435791467, 759577329, 121232721, 439697792, 654175144, 100121694, 781478076, 172713757, 913699543, 17749901, 546062547, 182479739, 917053535, 891613160, 348009709, 378407148, 948299090, 465355362, 548564148, 239068902, 213045242, 123278644, 676705310, 583021430, 445663841, 968459098, 138037680, 852333026, 569115566, 23369747, 475631191, 346387693, 92243116, 52686098, 220225424, 355338546, 538382909, 230078507, 431703849, 360649226, 877600660, 502582596, 744810400, 544680460, 222101509, 820807599, 106703200, 956122749, 153981991, 576784618, 44777979, 3288094, 575610203, 353087029, 479790647, 984123426, 345744741, 837557881, 966564975, 286608254, 970480634, 309795204, 771091986, 697487348, 749486992, 851603872, 587868672, 694634692, 189246182, 350915293, 550999163, 141184329, 517918298, 469829117, 12680272, 629720303, 199756372, 837379094, 322722637, 700555176, 943294563, 187275840, 272702244, 694606634, 229449324, 719152162, 527827402, 385830250, 81040086, 669988275, 756289420, 113468980, 29560874, 331240777, 767866754, 375661873, 346032423, 893772581, 327538816, 272730742, 180560508, 39063572, 907197783, 793169391, 653432866, 478904006, 181037367, 899760775, 801153391, 390936959, 793905204, 717898632, 855439175, 835291830, 701181615, 213083997, 762796196, 831381123, 60260588, 416062411, 977601748, 48708968, 923696777, 51008002, 869853341, 297251993, 592001279, 696404820, 748398586, 757458696, 664293888, 692711084, 594753332, 925696339, 841892500, 149667549, 375416295, 868321652, 11958256, 101836524, 107004414, 747332757, 490589501, 356604511, 230840611, 779565557, 711023894, 374292417, 6888410, 10514769, 874923659, 303479804, 583204698, 421474231, 35461899, 733696213, 514277466, 321026889, 796038404, 699710401, 662435100, 45985020, 40121939, 161982429, 183904178, 533086005, 216477093, 38423014, 615288841, 73828842, 378208598, 406069857, 64178655, 460002841, 274421965, 835814694, 296867364, 185992749, 176780637, 492536082, 585826605, 152731180, 299550027, 334869202, 172492536, 931207928, 400712754, 731716179, 84594932, 270027634, 124138919, 101399511, 278925415, 564169655, 100624546, 764055386, 775449079, 746944776, 856115239, 127656587, 550324711, 116976197, 921933056, 82058154, 374548515, 623426022, 197643794, 654948717, 177667753, 294562379, 413206787, 195312372, 17990018, 771785827, 715197471, 303110093, 390477336, 70280597, 362354153, 936883994, 88926799, 88271662, 210017593, 186273692, 473678617, 8917116, 295039044, 655329686, 943736253, 538866775, 779378472, 208022165, 46411408, 626143454, 161206589, 333948047, 610214655, 432623858, 865448034, 584783817, 735537679, 170744553, 814844570, 97099798, 109057876, 482097351, 666592015, 606430886, 451411733, 18656267, 803207798, 456575295, 155762867, 842221391, 340066485, 390859269, 877383132, 501194417, 630751942, 311578334, 549694738, 241015043, 360819906, 981099651, 122329593, 728620134, 620111007, 674338897, 584352950, 371152544, 45739191, 235973054, 163047210, 350296370, 938907915, 103558668, 281063488, 719525035, 186289364, 304671628, 77846650, 619529922, 445312994, 370513136, 627853863, 915863339, 388136827, 148178928, 118675349, 589559146, 709374322, 29046359, 207184442, 421614262, 571173393, 996999216, 201548028, 34977803, 338975242, 422018112, 923490047, 429092178, 280316830, 921449849, 329563533, 893080485, 729979187, 148010000, 28072732, 278397406, 914987775, 161635896, 592093844, 828455108, 634049660, 275960547, 604588867, 539169729, 162512590, 735439079, 767162671, 454331093, 941842608, 691250441, 874844862, 236488201, 295588767, 776202478, 147640403, 832183408, 150364629, 656498863, 786882467, 106018038, 44014229, 324107588, 711122323, 582844570, 841300476, 323180341, 46981865, 802384313, 294049674, 607464493, 82548850, 414376626, 765350423, 222150314, 770451120, 322320766, 432231114, 310449255, 908654734, 198007268, 639868488, 437560953, 731759748, 588203707, 688352256, 266739643, 414511254, 248858682, 381464397, 192418237, 269026368, 194448311, 924212743, 507413382, 422370217, 831145461, 576328181, 112747847, 7865546, 920968819, 294622308, 309057742, 540353875, 728611328, 443204132, 45848007, 38489785, 196535267, 443068511, 526990794, 663953718, 77513005, 645475018, 755048298, 675197796, 366369044, 598640143, 619043494, 488733124, 688426316, 111193688, 231425791, 183341843, 716716540, 502992386, 152795518, 781344756, 436658406, 321260580, 892357972, 714965045, 536527256, 661208371, 659720095, 591157269, 810419991, 317909271, 33531219, 759818806, 670719810, 461801784, 443719651, 823957255, 868673953, 675459829, 412548998, 339161234, 46805176, 587687150, 983512154, 840547438, 285783998, 241104924, 59686202, 546441718, 626116793, 812294585, 797389015, 917879336, 44503950, 308556441, 636731104, 220790106, 323285683, 383694865, 166324805, 690725662, 315346127, 358411002, 322549766, 880369824, 129889095, 366765895, 504147994, 606764823, 914721706, 7398589, 998846607, 612329302, 18091262, 921318624, 741972518, 502281651, 194196286, 327765225, 185800077, 237051549, 111393562, 745059228, 833130819, 211095503, 634277700, 244002354, 560696185, 848935838, 382843033, 357278003, 649331897, 219893898, 728063519, 120271831, 295472083, 25079353, 268926476, 344021173, 169678146, 975538923, 9032007, 137496496, 356045166, 544757287, 330822484, 950308613, 84953750, 703842091, 781762770, 854238852, 613311760, 322172867, 468062724, 693331404, 350646734, 803224052, 704397952, 512141909, 419016142, 38692978, 659025690, 38830520, 836158070, 995498534, 164019865, 229851653, 77333295, 482051567, 200554771, 422152368, 748694059, 868085754, 164037222, 656309841, 890660765, 260551617, 852599137, 773489216, 336262588, 292944997, 76626902, 570610493, 881226487, 417660601, 502500087, 165706491, 560328029, 26363355, 596369154, 171691966, 314673153, 897360718, 922064751, 440384156, 993345165, 421741134, 261212731, 569787882, 40518085, 345517012, 927591966, 863974782, 856100760, 324445435, 501709412, 733855591, 595165462, 851549665, 833485632, 608897633, 39334093, 641452582, 135813115, 717426384, 973481355, 696759493, 602957670, 687502545, 266714610, 573584016, 78678407, 396593827, 589368010, 326570276, 182339910, 405796502, 620392282, 906042067, 992982272, 979005061, 709193702, 281092031, 473430072, 591445429, 878619911, 666336907, 221578948, 254519201, 422051275, 466401908, 815091455, 544758592, 346978033, 310182341, 658859074, 410138301, 914606511, 527137172, 504838568, 361676942, 737666945, 158120835, 405066896, 639207709, 420334803, 476543625, 538302495, 744609572, 565845387, 868655433, 564997925, 941188460, 281360055, 417874935, 510230137, 812478435, 619936385, 208803220, 466184000, 370581880, 962929043, 10098295, 237710701, 452536679, 641503329, 363854061, 458954230, 505190210, 159453231, 341666089, 997485490, 675177824, 9654666, 762010718, 213302796, 579766030, 788740823, 295273855, 725883142, 104724655, 621797573, 330246116, 74380411, 103379362, 915454016, 137927424, 862058143, 9217396, 522555888, 798652790, 367873928, 200170735, 565650568, 865722312, 267238412, 25000728, 856364469, 813972861, 694363077, 139121707, 211579708, 601395610, 503557733, 769496101, 693179641, 48047359, 466998202, 18549990, 900944339, 87186498, 901898147, 874663700, 581726955, 57381273, 384326840, 118792183, 267422300, 737513091, 1673791, 712741603, 778866979, 830087227, 168341695, 22451972, 422464357, 816521070, 785606429, 70101470, 668499892, 286402479, 773283615, 200566839, 330032557, 252848342, 770200903, 703202841, 477598901, 876344525, 782747962, 121593342, 423075188, 174753167, 336541407, 979341468, 116192292, 51813357, 255941034, 798219333, 737548673, 674982490, 851184496, 64169224, 130821456, 995642022, 549269646, 740033922, 341608247, 125957279, 233646173, 237063735, 949551915, 433355380, 514872954, 830677573, 693679763, 700648574, 72261095, 9612242, 484790378, 70035443, 470257148, 194274107, 40611221, 778652187, 99176294, 21348349, 198913019, 876912404, 700907330, 577488375, 168046264, 639349239, 56415561, 114470778, 275415578, 162984811, 793508285, 330741348, 450025522, 193407300, 962554720, 896445440, 934075192, 351457674, 147786517, 659318098, 321504728, 770948002, 705786938, 597113890, 676562851, 820158972, 768003710, 223006262, 26267736, 331790174, 264555158, 278473456, 654645457, 321828187, 213362161, 234603615, 137339665, 748326446, 782826454, 721400140, 293563326, 227948240, 333921407, 656178134, 957736994, 965788998, 975115241, 380832798, 377829801, 8529762, 237324959, 2491038, 982305035, 26838784, 285903646, 973566180, 150875297, 136201332, 657952633, 68463910, 350537860, 247056371, 763887639, 461867105, 913483919, 691771237, 767994698, 193173470, 903317726, 729410896, 228257154, 169828878, 226391126, 320027954, 547672121, 472753065, 959231222, 310891319, 624278109, 75844588, 238287172, 583523232, 537567468, 708083578, 560331808, 685474188, 166788148, 823873335, 869147558, 952914294, 528995915, 649072740, 634851779, 980004540, 511154182, 252867703, 221314097, 347653273, 91246712, 301627535, 591521456, 577844972, 773613478, 81404825, 275344645, 246264040, 473042974, 685092659, 677062329, 969388423, 754119136, 47798720, 924245858, 447118416, 581152063, 652134340, 125386500, 988932588, 96773876, 457424102, 894543525, 381015787, 268371255, 539213654, 165739841, 107362182, 655586385, 487408855, 837636509, 93797859, 597409802, 62443767, 53854118, 889523522, 813380317, 41999690, 428404381, 78850539, 587905971, 188491176, 733212436, 420673705, 280815020, 240706289, 486139591, 679542839, 760174466, 962237249, 611893687, 889967068, 638835881, 893396210, 129740952, 75436709, 680615210, 293351780, 57444098, 304127551, 106389804, 374499615, 216348081, 690839620, 439949845, 338726038, 864638532, 320996580, 420720273, 301225863, 50924307, 918750369, 527985804, 413900299, 72980712, 250446955, 456425406, 311928624, 611264145, 64653101, 53141676, 390277773, 253867013, 843248491, 564596423, 338597031, 589929655, 730856601, 777642183, 686570097, 984187843, 559475472, 947212965, 792636361, 428604843, 562038006, 207099603, 608663954, 788440291, 203046907, 866750296, 841929807, 128465925, 706431626, 786608379, 610905143, 197775914, 264178956, 679926802, 627902295, 878031322, 975280916, 299558479, 336876619, 844495477, 691717459, 543571157, 509386487, 24217262, 627638381, 127289052, 492643143, 2141566, 734525065, 675471864, 253203213, 191583088, 248121575, 571410940, 510654243, 198911528, 520403733, 34470506, 481195397, 283978720, 304284951, 818501300, 755491402, 616167685, 960985571, 167844067, 69489618, 115517223, 318086233, 232340057, 883095378, 410209177, 404723381, 200825899, 365790913, 842173353, 168514405, 379878447, 535470158, 601436505, 782775711, 222728212, 93003591, 290680615, 577777854, 461443927, 997661957, 827059267, 222424238, 970741470, 140221610, 206884084, 510989527, 801571951, 668501487, 218104412, 523963227, 349513369, 324573817, 32499887, 610058419, 28541809, 193810162, 706393275, 447742303, 927474462, 56310162, 223217715, 605244261, 78902666, 310865992, 683257517, 340835538, 848131976, 435739421, 671438384, 372312368, 763822488, 263435126, 273420085, 674733217, 421748835, 218884179, 790339646, 896681999, 423591434, 799107370, 788912572, 50792677, 73828673, 976816517, 324312260, 28806446, 26448685, 579616971, 77979712, 206182438, 556368551, 313629938, 587892506, 637467992, 196064211, 507488517, 728672498, 571001913, 318897325, 118415189, 697824005, 142382857, 688458389, 342765785, 222936456, 823454981, 912392653, 893149161, 245221430, 791284311, 496037899, 953909771, 877770043, 772466319, 371547921, 696126197, 106317898, 457294656, 748415498, 522892518, 577174075, 200292696, 580395742, 390278813, 906411897, 711652594, 402067075, 522649966, 821757693, 907459880, 91251625, 353645650, 261555659, 402733514, 262814470, 442981268, 823736374, 39155952, 203362003, 263638177, 197787991, 625968150, 414867546, 650078641, 932761629, 541985224, 918541648, 471847793, 184809963, 308499121, 413285059, 315538622, 855225203, 523224772, 341295582, 540928023, 26158701, 779890975, 979095355, 86072097, 100447974, 650159067, 642214508, 663631945, 943157801, 972372101, 766972831, 221148846, 861250446, 477981749, 767618087, 869366637, 693511845, 278437772, 541661620, 603397742, 7558861, 717156300, 436238781, 974677566, 317794876, 708315481, 777418716, 369568081, 843678669, 229405123, 757934114, 514544346, 921500798, 989444082, 270974501, 280641071, 212377751, 845538993, 566866336, 237246672, 464611523, 899050419, 479403466, 276108263, 977284813, 752372591, 610881631, 364596077, 685228662, 594537672, 128435893, 916208917, 879577076, 56548626, 669395403, 364441374, 420287662, 181070845, 955928713, 884049410, 798174712, 687288182, 337844648, 73504197, 521419448, 358361564, 599541635, 39583603, 936489373, 873481845, 358426664, 465852698, 760393265, 997846540, 502965772, 786102692, 768481823, 159205080, 169332222, 506022761, 977619585, 384142171, 418314004, 224072450, 2583192, 235219992, 560002824, 158070061, 318113108, 876734750, 450168680, 221006594, 792333743, 58228918, 814963828, 430949668, 823264536, 417350813, 164784888, 978826994, 197683647, 892368149, 73219681, 383530616, 159618498, 45702277, 206821692, 828132622, 923966555, 951662371, 67423613, 445012954, 818326614, 22882712, 95880755, 656318470, 113358876, 568977145, 233333078, 905650167, 356876213, 265887495, 693459227, 680168100, 814683704, 722640893, 482726557, 716094685, 784348493, 271339206, 691309172, 629515513, 747445815, 243920063, 820425165, 688345894, 77627900, 276166473, 738032293, 652673130, 25794318, 525513535, 25390286, 269097131, 714086524, 967385267, 865761104, 489078914, 207020084, 964721365, 727243753, 216034184, 155539400, 436464710, 425989023, 527091048, 404385710, 912148101, 189938433, 49559422, 620363861, 888365503, 259075044, 704087273, 614542101, 812979997, 109776375, 872927405, 143212089, 52877135, 710517719, 246301141, 755827165, 712471190, 894041596, 346440258, 326283250, 937670985, 637825875, 833297189, 725755383, 463801901, 154634133, 887980225, 126896256, 8356055, 41445869, 267293347, 166897664, 803130721, 882771272, 94095371, 595498686, 145562619, 763011176, 204316838, 642964248, 43025905, 27564571, 574573954, 491014345, 457058920, 784945035, 430644207, 997628978, 372523541, 321844904, 222732328, 607432880, 350286161, 692797463, 34771348, 280468417, 318960747, 441920192, 418096875, 786033218, 352392063, 783937023, 411780277, 116546542, 152069736, 900947673, 94739282, 992348776, 482574657, 594345635, 461194232, 817007189, 217921374, 559060992, 769743281, 767399213, 145755354, 783943296, 190438278, 786401027, 580490158, 386271572, 898282104, 244357270, 374532240, 108651191, 722598934, 583485816, 484822492, 553800948, 761046908, 469661844, 513986865, 388154041, 26953634, 708047879, 911043341, 477248857, 676929285, 350360228, 1147943, 745541103, 580606833, 944461511, 762917369, 89099707, 973185815, 831965917, 147140762, 189401564, 798150129, 81603696, 953272764, 415872692, 739137665, 96766098, 896060594, 966486248, 338292840, 748366569, 348009531, 281248812, 502309536, 374539160, 784978215, 406575734, 42261256, 642341950, 447914001, 630305320, 908123821, 477758118, 144401278, 901533125, 714592090, 311043831, 728722177, 234302332, 543618579, 743683292, 115845881, 945845431, 289122549, 290364939, 742992073, 309769268, 586360882, 116875857, 966180569, 681730571, 677677541, 74517024, 334283359, 376492878, 446115460, 340797265, 185313847, 425511116, 197429403, 977089547, 867748503, 249784285, 527794307, 182212983, 840725739, 251491121, 28204417, 162373009, 814960156, 480667456, 917238619, 885365909, 601724532, 460982040, 944715107, 354012563, 562580301, 627281358, 493882922, 146205800, 720768777, 358354103, 748178905, 66766518, 958922899, 63302523, 560848975, 283844532, 413847699, 13510360, 894415164, 570375351, 270871610, 143288243, 204007157, 983739022, 118628985, 664574790, 215266720, 568380631, 750912899, 993006184, 782343079, 239644487, 513118193, 676294376, 452362659, 722992633, 273750868, 623588101, 933698416, 465311637, 265360501, 702936784, 802695075, 925424372, 947282294, 826238565, 880730363, 169933401, 742304736, 193896226, 426081214, 985316118, 648798321, 585004242, 801444525, 730422905, 94179851, 609519021, 31418846, 354185126, 559818288, 73271117, 521518879, 753830664, 560309551, 33190199, 734095831, 707736656, 912557723, 953411522, 548206249, 515539812, 520370562, 557311449, 580044600, 345485879, 263197735, 971322729, 639854263, 663425595, 871361883, 686463593, 216861866, 48908105, 454905422, 802408682, 645669233, 366221972, 858795455, 213437335, 678890900, 820038443, 89636186, 391581430, 550541485, 73531233, 242504987, 690762442, 344059698, 318627989, 542808544, 963814554, 863089201, 97571340, 889029365, 211284334, 75132742, 21223487, 411066284, 31113544, 294610365, 758808752, 891576713, 265533304, 111279579, 705482653, 621541466, 739256579, 826669809, 76743837, 149412573, 480597551, 937197024, 82103462, 647770201, 739185201, 415112520, 285530639, 926979842, 497534341, 732101922, 115633796, 364581963, 200446602, 869907871, 88205684, 730973548, 559952528, 38857217, 830644927, 236407670, 828985431, 715299764, 738421124, 872255993, 446766237, 609140255, 205963657, 197592069, 811864306, 837817332, 318767867, 134185222, 381457407, 759949340, 771500490, 202662200, 81953023, 311296320, 986118258, 656420949, 651553697, 765157923, 565976071, 522791031, 562809604, 175716133, 534128490, 932109233, 565436859, 827728835, 993564668, 429853684, 629626719, 971432997, 736379548, 319356040, 440857621, 442845761, 770307713, 79508375, 4470205, 238457189, 203265012, 910542151, 598310294, 998084415, 938403016, 975164596, 641794677, 859793144, 482520126, 946006900, 307156824, 806275165, 482814829, 704301824, 669065153, 907047496, 493010019, 451220141, 248279844, 867634218, 787144314, 641648710, 457781895, 473838354, 304109249, 667118133, 389048804, 569560448, 53724592, 829362208, 384157396, 375417869, 585567992, 541317987, 391914995, 258019496, 313252152, 610342360, 255241665, 123714709, 654291484, 698097023, 441973734, 438392624, 151859827, 952586979, 297534805, 951137250, 523155871, 105596295, 990982975, 865886278, 495736295, 532350311, 18456226, 507956234, 296092520, 454946850, 325278574, 294138234, 976912219, 558193586, 345350806, 970434581, 573842878, 139335585, 339101999, 247797979, 580693866, 581313543, 8914838, 851089948, 170649446, 485524397, 781900688, 788295104, 68253555, 362916012, 452219872, 999849035, 255227005, 800312622, 802431840, 192123196, 323933173, 865311084, 782710459, 418328642, 371149591, 197698298, 980337061, 643355867, 430405789, 677196738, 381678385, 528486387, 11314128, 505259594, 374557826, 592473736, 405761052, 504515117, 636824693, 552713104, 619092744, 322409136, 398413861, 150722187, 715616633, 179063477, 330636904, 823042256, 300113908, 105937171, 5324654, 737320329, 483098270, 223251367, 779056835, 944836892, 750395096, 568284577, 750198091, 545781894, 810798022, 846694164, 662344319, 100394131, 426382257, 86416706, 63467792, 4724602, 398277517, 273449346, 47373084, 553543298, 628228272, 187572765, 769730078, 887015843, 809852168, 508364146, 116582117, 547407150, 272718995, 217784517, 720291871, 286866203, 834600344, 104458880, 502746258, 144301389, 157636463, 895711148, 222489371, 680854485, 99080642, 243744773, 145313646, 44775274, 330645754, 929438944, 774013617, 894023302, 119673146, 279480661, 23225101, 880386161, 400561248, 236752047, 483043477, 880486499, 323744514, 353906237, 522351916, 774433100, 825669369, 260477946, 493374523, 241256788, 372972530, 95742030, 287039515, 698670810, 603502356, 657652103, 649859053, 912984071, 743827797, 702920742, 968728150, 365180886, 522163153, 490378886, 969768816, 164734787, 544598594, 187393029, 727175937, 253552409, 101872466, 123195884, 528261612, 225320260, 154211301, 922507862, 531675716, 466566939, 802863731, 800188732, 329237837, 579043098, 313098750, 837031367, 728437447, 629564699, 310210767, 452886945, 104219144, 631736786, 768162725, 777492046, 9608241, 553979147, 271027186, 960753097, 191326137, 587966273, 589795612, 332879269, 414387126, 764650545, 519607759, 119639797, 88240680, 77355526, 122760679, 458449498, 628668069, 631812541, 266075580, 264768759, 698104336, 374704106, 932613033, 310630430, 832776034, 65563254, 542081269, 719674847, 908164446, 3873669, 912157460, 21782389, 778809401, 361949088, 177125034, 952424076, 194921116, 595176932, 757449166, 809080845, 676109381, 186486107, 83435077, 476595420, 235237333, 529073335, 840152386, 61623270, 173062769, 38149479, 68230606, 847622306, 392307168, 284599849, 617625918, 400328040, 738656642, 588764161, 797630380, 410136425, 906628267, 722686186, 817735111, 436184444, 474887103, 165296275, 272142047, 790020157, 17793683, 140787485, 61150645, 126766523, 708098114, 539240980, 226050501, 864755609, 764929193, 562399660, 872294579, 79792192, 261915425, 848033336, 460171127, 495409616, 196156281, 288777934, 763731884, 257699960, 338296126, 144520210, 196347491, 988375478, 784151668, 34450913, 686494283, 60726186, 384554068, 671755671, 305590282, 939504672, 950051204, 746567810, 778037578, 449231426, 958507022, 309522501, 445864758, 569018906, 320854731, 616666768, 910041839, 328895507, 51915519, 156299669, 632807612, 888316197, 366755383, 795753061, 764561616, 239268373, 144307349, 261131472, 602820768, 285440807, 759468641, 266229776, 89054182, 465011002, 489802595, 536524130, 448460904, 497606315, 532495788, 643080597, 951267367, 924812288, 994762580, 715952455, 941561865, 680906369, 965854785, 224080307, 263527011, 827852920, 197553215, 264677755, 404578494, 209640709, 14861637, 796859581, 584106661, 349761193, 562190828, 899754425, 989142398, 733729082, 927070191, 173430587, 265302998, 489015487, 204036919, 337563357, 743817250, 880599210, 773343240, 204714488, 624179832, 535449044, 512066507, 47258276, 722506270, 196688546, 679007165, 881407266, 459841188, 20926735, 677307136, 755554977, 203306428, 939898604, 508368015, 168807091, 573349011, 295048108, 749736367, 220876916, 826805891, 132651737, 820028656, 962935577, 928761303, 493737600, 311176158, 783624020, 832078687, 547449131, 954608444, 987748971, 730310087, 127501410, 376041906, 12654847, 663363389, 549848640, 187064132, 128790419, 193670644, 526587794, 635279021, 772273428, 439059629, 668522382, 857321532, 331953752, 659332694, 126380697, 357917227, 609614343, 79063964, 650912720, 311332959, 358396615, 303027597, 615122419, 727980017, 497133939, 443811340, 988181783, 611850025, 298340495, 21120222, 971965787, 569816863, 129503834, 635049509, 483389763, 204583678, 671260458, 522716347, 630761221, 363944909, 534550195, 18567462, 632077363, 264851141, 813391116, 988135772, 522582766, 339064638, 27316734, 210090067, 551833945, 267719775, 568446732, 644044664, 749156338, 366845484, 393062727, 647728174, 700172306, 258621578, 880523333, 802104638, 345221126, 484992340, 987171469, 246752683, 545790285, 67091513, 50673214, 565705219, 125065995, 906656760, 310188114, 170582570, 568314068, 351725581, 244019138, 565503636, 106963670, 127984744, 578787652, 575685464, 765110670, 931124855, 992377631, 75539581, 92874379, 24215012, 137876791, 42052658, 692471577, 690905019, 90978287, 406738704, 570825033, 90172233, 72746215, 563099042, 654305196, 605133470, 585128547, 348748595, 901604971, 144737305, 117823255, 978783048, 310505589, 228804406, 297178064, 974900529, 748541366, 540653153, 685748783, 484957694, 968875043, 980616849, 354673352, 408223642, 145919730, 912726603, 230678678, 855387434, 900669461, 935358630, 139230379, 206823635, 487981741, 181008120, 106532957, 614282824, 757785606, 980847116, 394401705, 335868236, 924070556, 540580120, 342050451, 634536569, 460705597, 34081551, 300825458, 695027998, 11314587, 138236557, 794641000, 520080071, 741088935, 241281604, 548126171, 188092905, 508984427, 18132874, 138907285, 259820075, 592629183, 865851088, 461193341, 240952179, 296874376, 160596216, 194827639, 926760476, 176267791, 451060867, 383127452, 709634343, 312340026, 164131335, 902499075, 857015850, 421553833, 927531520, 763161785, 325100699, 975820691, 476570355, 566332124, 952051079, 26539165, 576335309, 487703144, 47288769, 681729610, 509561599, 206027596, 579696436, 866907860, 174781714, 713321003, 293270690, 936487312, 656762376, 888988459, 41925133, 404352595, 584845545, 112225746, 899424034, 187356581, 584074328, 244005259, 815095548, 158872322, 492536236, 358608008, 14710447, 285346726, 622504824, 223361831, 157500976, 291153974, 427466235, 422451645, 916873363, 684920272, 19751975, 690452734, 321844035, 728403332, 207990035, 116238562, 955725757, 628292393, 983454292, 200589999, 365712301, 319699308, 722923098, 559513296, 457235542, 161114850, 549153314, 390519393, 78604226, 487693296, 602911244, 993626858, 807459933, 636765173, 103129286, 381666842, 619036744, 868391306, 127688466, 688161222, 97893105, 112584430, 607979283, 34549114, 859666652, 536524708, 482909910, 953551361, 973560825, 597302570, 554737604, 411427400, 921192819, 506451512, 733441022, 71085910, 277881573, 738521574, 842300194, 767618698, 192407979, 628827892, 145745607, 157238231, 696650942, 69809672, 97519029, 219035922, 975890162, 349715732, 976463521, 390243942, 481647877, 259600062, 441921512, 238947130, 354277475, 904294732, 83274657, 668531261, 725830362, 643435797, 149756796, 235441103, 457753451, 827722995, 350457048, 994405427, 393298660, 637530463, 992893684, 346928471, 101519573, 73285314, 740341377, 651237669, 184373821, 783384103, 547243893, 153328407, 22609554, 570461263, 359800600, 719239782, 971124337, 800057362, 299380175, 474678593, 357445895, 555082836, 373011509, 561868118, 519230795, 239028462, 202091383, 932884975, 224025863, 953772041, 363476907, 225659652, 999486858, 229995555, 198061702, 91650129, 707719157, 163132156, 766203165, 507609103, 304633283, 666363032, 325965478, 693281038, 572746562, 278389415, 156156763, 44557302, 71445366, 834041017, 266459271, 544795332, 562395637, 922820704, 494339832, 148014461, 731733123, 257906147, 821309928, 866718860, 952669950, 213975390, 977572434, 40403999, 111604379, 272893517, 176259950, 984793395, 928283675, 123507413, 415653739, 234903675, 41778588, 100419384, 165950749, 697574664, 622976287, 148203639, 907752714, 700856552, 741802741, 761484176, 934068556, 399236902, 505579215, 901921484, 213611441, 82261048, 785702093, 467476707, 427929464, 140973057, 832665284, 2366916, 509321049, 271554775, 194834535, 853972138, 986363264, 362570607, 938170947, 653629774, 519061135, 954786603, 894743456, 810380469, 76563650, 381240983, 90476865, 797757105, 568506537, 792447623, 808173311, 870019719, 581058644, 51651027, 10712147, 604680179, 324882177, 730125509, 553361623, 454164915, 656503426, 570505534, 761265282, 238232361, 166462767, 504330852, 74237884, 701458160, 377482893, 135790798, 538441180, 46600668, 655151919, 360698986, 300288975, 807890728, 342833901, 280323106, 829784272, 18879719, 993251176, 260185156, 749103637, 555193741, 182537742, 370535900, 853167077, 881334835, 354015336, 193486549, 107474492, 627261649, 93363505, 200283757, 932813448, 514283671, 732116546, 69754994, 203791371, 6736095, 818891609, 753753157, 933731757, 221609545, 448590221, 717159602, 56277206, 942572136, 404909920, 742469080, 309409984, 68213805, 976198431, 415136053, 69461574, 741954874, 584448704, 752632325, 557718186, 957073503, 920625415, 756041586, 943692675, 50453952, 333816201, 791984168, 638764263, 639137988, 393224740, 124268680, 861503048, 328746373, 860580954, 825918742, 632835667, 759895911, 736706085, 76732489, 183867523, 471553570, 479372425, 894857238, 619090547, 608827866, 504562269, 750112892, 483162967, 524755869, 889170524, 959733221, 1305610, 393138125, 498067281, 140284643, 264031610, 378886432, 139726753, 836378106, 103014658, 523049398, 230949958, 101325638, 629103755, 327585920, 829022994, 832996975, 281046633, 542181370, 890616809, 8066514, 989247851, 305353791, 506105968, 728216203, 578083538, 173232183, 475777282, 580504100, 992032903, 418837253, 614143766, 498945968, 455348525, 790929671, 948530126, 574743267, 51794624, 560347785, 944348091, 518077400, 431578654, 551957818, 421959462, 534052272, 231684498, 205969493, 586299416, 877388765, 978930344, 32374062, 806925909, 400304464, 118606830, 669942829, 190123796, 649980739, 374440510, 264493269, 623068644, 857123944, 501639148, 138648533, 589184265, 700221406, 579901665, 680540363, 400196345, 972213646, 628671825, 154673716, 91917455, 255840552, 983765110, 314252176, 691591290, 355550045, 611383258, 356672793, 100459445, 485347651, 837651386, 985195305, 652181785, 44456769, 702817904, 592969118, 743058772, 84607726, 614531568, 227435602, 905748821, 988396164, 825722365, 202494537, 988873499, 641999066, 260163073, 784337193, 850763625, 770390685, 407281685, 390673261, 228515432, 481104248, 840137246, 18061815, 422044279, 245150661, 432154035, 218780795, 746265680, 665823434, 496880541, 57820039, 243737401, 124735897, 246376449, 809643976, 764355122, 484208912, 584892380, 531349221, 445108906, 110604337, 829529337, 256576653, 413057015, 825711736, 74363058, 99192814, 158977575, 36470963, 368641892, 359097779, 256013876, 621485504, 779466231, 28589126, 152603147, 791240144, 451349873, 470503020, 792906797, 532839653, 494658522, 282402971, 716382806, 80553065, 905021953, 132088116, 9209409, 70047955, 128281608, 352393908, 737563898, 145263867, 762643030, 289231650, 954648871, 888366559, 813175924, 92060628, 790480593, 439464868, 541888867, 443305113, 521880856, 600860662, 916027555, 629670053, 224711855, 877854586, 78709954, 340673649, 1405525, 986188671, 178169065, 548411633, 811380430, 54342286, 151822299, 200821575, 458720628, 86034773, 221166951, 912796568, 249534530, 207748931, 58777094, 385642814, 657386417, 348929041, 704216210, 793299311, 866283492, 223087146, 101723232, 610439741, 956984109, 235867732, 991423229, 424495952, 381352101, 161230539, 481422195, 650495857, 143705145, 681770397, 928987968, 936711082, 973291065, 37230060, 944824467, 401994731, 895886165, 697268116, 991481364, 313873237, 337889980, 357002828, 384171837, 861939455, 82621595, 516763579, 153453914, 688772181, 595053473, 532489153, 977074636, 804072482, 220054150, 903855227, 879893590, 261800906, 213969431, 553293367, 168317081, 702530706, 983329619, 477457294, 1754767, 166479690, 667384605, 936909877, 104306727, 445744239, 451507264, 517660616, 230169834, 703398962, 930830949, 89349991, 73245564, 117853156, 10836443, 842309398, 581781568, 771652922, 261569962, 125779591, 543351246, 994562433, 463878752, 479764742, 181523752, 933427601, 436343804, 325944806, 835948704, 330734210, 261263278, 155686133, 108552719, 398644945, 683447201, 762347760, 890770125, 2543570, 822248764, 681803183, 99572627, 39358405, 741905043, 885093805, 26179277, 832781630, 783161033, 605507652, 745788955, 727857475, 397510222, 367860562, 799917998, 757621927, 674918615, 399990754, 902661792, 745644621, 274957336, 732788189, 655507371, 170084296, 473936667, 652060907, 30100180, 647228331, 912931306, 110898876, 32904974, 263329744, 295428969, 955196031, 235663084, 867563600, 160801103, 781801691, 147128877, 949007028, 154582256, 28829082, 190729756, 584037585, 220395121, 28373797, 612989846, 367657805, 671599743, 770536264, 652629998, 322458056, 553916948, 602717700, 327774228, 807026705, 907412648, 341893022, 760724440, 436557497, 350301637, 468835378, 326318388, 812231542, 686026357, 618572303, 863248578, 561890861, 331334429, 593838580, 381506608, 379047607, 28043423, 341267375, 563371843, 662101273, 180421536, 780622656, 391845386, 370694974, 854956739, 897347397, 79661773, 575545232, 834490734, 328018116, 419702480, 315310910, 907942379, 13619022, 502756790, 752608247, 241646720, 881841366, 652960863, 970657804, 67567859, 940143265, 515961903, 308268846, 356031566, 384668244, 616153365, 475908529, 939524671, 507843365, 779487085, 588270173, 390926006, 853109561, 177659608, 93488429, 277261799, 571753786, 999183197, 6719325, 834315694, 299775482, 930491826, 696995669, 350619788, 981413341, 865530263, 494070121, 77118824, 586798734, 840473812, 145961642, 300413643, 975049151, 432212248, 87851635, 617875381, 781029541, 255818186, 802305857, 552168799, 387266455, 942790871, 213394771, 368986175, 801276651, 283354151, 199634821, 260313502, 44990612, 999502978, 437761265, 698873925, 184457511, 454775288, 547089273, 340990362, 13489745, 634211620, 849231367, 5159699, 404062697, 69533213, 97681198, 638148037, 268068711, 632896647, 272313363, 940284948, 960597152, 652355929, 545292276, 326112022, 344772759, 105348267, 911745684, 601609571, 750325621, 111592251, 886275505, 39422328, 17871803, 839435705, 980790154, 811567034, 312785561, 992747864, 817460044, 815261033, 248114432, 276355004, 922883230, 683790275, 785832651, 838648328, 345328733, 691612115, 352074686, 294043517, 805181623, 669951421, 959843154, 568238196, 633174204, 144477427, 503252189, 393388927, 74215147, 36066650, 544781886, 293230732, 519391142, 83144638, 640099821, 228816297, 350857066, 631901410, 717104485, 944555745, 923879235, 98568061, 967533616, 437528785, 902770138, 164342655, 977645533, 430929579, 121678247, 222431533, 396075493, 579271798, 432873038, 800504364, 36809919, 56549150, 729019838, 387971506, 854351588, 625925253, 621804230, 90860798, 754034555, 851235574, 779425975, 737898861, 91477703, 56984502, 871250757, 1264913, 21042737, 788463746, 364002391, 309377787, 292855513, 925450187, 668368479, 267561747, 281139456, 595593391, 298067117, 508721287, 317289536, 148587493, 613126556, 229981093, 279090281, 296954172, 900662825, 121231665, 920892563, 652178542, 805980775, 46107186, 544375905, 40926503, 254553977, 823403767, 619844316, 240997198, 491833370, 547172735, 631547740, 12089767, 994888060, 851456370, 575218530, 509307581, 517475075, 104082106, 297117476, 457512495, 174224765, 192604679, 102865821, 794743399, 942942276, 887904178, 739406563, 672463527, 235603789, 710299870, 846176603, 25873690, 387521477, 880336594, 234774068, 583613345, 764763701, 347507613, 949289568, 684167590, 116179716, 207503073, 466958582, 378805696, 998933869, 537642009, 966438421, 852063011, 910567393, 213815448, 43432548, 433761335, 62800761, 625826805, 383811653, 249409547, 744218045, 573369390, 928687180, 712126217, 45671983, 809305399, 821587488, 959113382, 20912077, 300615908, 633626105, 479311606, 339250551, 624762238, 342855740, 383342410, 684111888, 259446107, 544321873, 901001729, 554685553, 496103191, 758489987, 14493469, 399314907, 151235287, 601826193, 327374626, 340732622, 688307249, 157341463, 936684380, 118784566, 855040211, 718283724, 667701294, 657903532, 531069263, 170619616, 70126781, 290290256, 68225028, 517947972, 105273219, 608654902, 265888009, 672121216, 612496891, 486815888, 763947168, 387002479, 217365683, 772418588, 202042619, 142175617, 443132385, 593016966, 26104785, 699718187, 152789668, 525962092, 833826591, 810720744, 416000497, 244112640, 301459909, 702876510, 444069977, 191690407, 215469938, 781463248, 882359462, 391866182, 535569895, 656560465, 431554761, 935439157, 273407382, 640201257, 201111601, 660383161, 760623988, 337490329, 195168259, 671887240, 441017535, 453517851, 713177431, 75130069, 388906883, 912814870, 753963014, 517790986, 941251464, 463785050, 444859019, 46931780, 847344290, 298291242, 857394604, 792953550, 607783335, 568373546, 965799189, 144881457, 546833135, 679068829, 738209844, 52910751, 925700434, 640399418, 286349524, 681517498, 85062648, 24313210, 726357741, 177933693, 250225993, 298779403, 809752408, 721124259, 529872344, 883106502, 856300278, 293155925, 322670254, 451149465, 588604671, 643372363, 700346119, 932890587, 138759934, 478621058, 745858545, 39463858, 850305651, 401108826, 469756922, 863350851, 703876012, 327633902, 10748953, 245206620, 974431488, 530842641, 541899532, 922477404, 88118400, 49453427, 571591814, 787201417, 4183623, 95562823, 757804434, 377455279, 254333216, 281324559, 575021458, 478779005, 919549683, 704026558, 945141831, 873694462, 798896121, 181927353, 958420301, 754727116, 655732669, 886509913, 553976795, 336030183, 300250596, 141823374, 274300379, 912997458, 115565868, 425475712, 963139266, 540609149, 355875381, 171060967, 653767215, 18434848, 927569889, 160037223, 721746673, 283923693, 575477761, 740528915, 567689627, 143377634, 798089665, 117950977, 62637039, 785279860, 127312632, 58871129, 802825913, 468175560, 979635290, 706235134, 883431604, 762915034, 955272419, 26193161, 995668997, 30692548, 247700284, 222933650, 104296648, 125924088, 963402285, 972509480, 603687058, 517255290, 167688770, 532040958, 293242517, 893427750, 781376835, 219697185, 527666858, 450472782, 872866013, 47190211, 254649036, 531166278, 349684561, 814076815, 454132899, 411555878, 297734845, 212206882, 914792389, 554338412, 890272839, 902634921, 464891875, 823393444, 783255204, 363527720, 998099339, 754839267, 780616460, 336610554, 917784974, 555348486, 412697210, 347569528, 554741901, 479018550, 342897458, 511929128, 303107749, 348355202, 848528395, 434516779, 844688798, 51469151, 92523538, 388366597, 332362368, 791354096, 733326031, 960266412, 600914479, 157886252, 872568652, 484675382, 108250234, 118050132, 941774991, 468770043, 535377580, 766235130, 459083184, 708458698, 741249300, 683518839, 197353681, 147355252, 393546464, 943427692, 13910928, 123647216, 478427589, 641344853, 936002084, 389431232, 899265780, 459788443, 401939225, 395317586, 367112682, 828856370, 366217056, 127884066, 381562183, 70247739, 582226048, 531306214, 832350578, 329702556, 351212747, 99960942, 61194076, 441656964, 829187296, 831797521, 338975397, 17875220, 795805506, 905315098, 598625003, 467520268, 595600848, 321639444, 956300866, 270585629, 687129522, 23262768, 178471648, 822662776, 78248397, 330592244, 530942707, 252531105, 544745905, 669889680, 437996822, 212645271, 604693689, 979101412, 891503346, 299918440, 618362965, 93164921, 37755039, 42507951, 316087737, 914804443, 618536901, 531139169, 15617722, 767040594, 303792626, 804245343, 988247458, 468550089, 719876710, 551187336, 656269843, 876800805, 326570912, 906220176, 749055775, 629415291, 156109368, 940170968, 504753554, 695714047, 252524220, 508744939, 488598037, 642065334, 124526234, 750619279, 20258865, 977387767, 494116741, 81176431, 576610832, 951086458, 74408987, 661744404, 428467765, 972770802, 576128588, 262649465, 784479091, 893979777, 90170002, 508670125, 279726646, 287079062, 831522181, 617175992, 634793445, 743457752, 493679913, 520776664, 885109896, 825956967, 434193499, 81360461, 69437537, 973974344, 448969705, 378462879, 998415997, 731693211, 184206072, 804749779, 276933757, 410569920, 776475599, 291374510, 754199066, 781579726, 238604672, 169767314, 733090112, 786270043, 119203816, 651389543, 146292235, 80835708, 724568534, 521332755, 498375991, 147722278, 142893352, 46464361, 319170580, 174281632, 287996835, 445271151, 281933364, 73498069, 318379380, 33840919, 73839195, 223244948, 495208269, 75794125, 611267756, 800377808, 494083297, 807528630, 368206199, 850468275, 886983662, 570385161, 261210902, 930228543, 584663972, 533636472, 965855613, 294159653, 641599519, 520490296, 328031480, 509906425, 653199067, 716935320, 126263131, 473452177, 469644893, 552266774, 588326919, 71919202, 546704399, 654631863, 607332860, 562321967, 724198122, 619513233, 898422420, 600119169, 244983280, 107578419, 455621537, 462602223, 779674098, 367972828, 358246431, 628466683, 292863158, 263408368, 844281735, 276658450, 481681416, 812588633, 592627588, 690730189, 631345766, 361082383, 234618527, 705729493, 934124290, 299308355, 387966286, 980268675, 632672933, 600770423, 45527305, 424369074, 820645439, 834932032, 818171929, 598487194, 509866714, 905006565, 909143369, 745918804, 963414626, 652155603, 607155386, 180435916, 234623590, 797486826, 421870654, 590357215, 687447759, 780465885, 401824112, 262706384, 211374739, 274660524, 175893836, 240898236, 741197693, 859757372, 72627208, 439831437, 947812150, 783191999, 507155059, 399958818, 574129575, 12070646, 611753879, 97432940, 486990699, 358805393, 812553130, 761768871, 35217120, 236510950, 5096621, 647600410, 638382901, 875267723, 64201396, 99681284, 695774846, 960604115, 636596478, 228069042, 872562997, 678247635, 342919725, 462955955, 258066224, 906448638, 932790563, 653304294, 8683187, 203257886, 601346021, 481445162, 936920612, 61180124, 836952749, 145076771, 407344476, 437590953, 993839252, 495234460, 490261088, 659287647, 626130734, 225834055, 393812989, 33389480, 760410263, 117761702, 759081457, 757198096, 90954553, 634425661, 593119417, 825846405, 865826803, 907395740, 966453984, 672239502, 937129774, 493120405, 22751965, 510019605, 222583035, 568265510, 424018942, 507653341, 330010377, 901825427, 588127426, 984288036, 359152505, 257544735, 588708428, 329843979, 59052836, 151438456, 653619177, 562213922, 816733043, 206369274, 479461755, 613548104, 689636649, 842283740, 730572195, 721441336, 829180661, 868449540, 84624980, 648215073, 879331396, 295312176, 586662101, 762397018, 485941429, 721746889, 862843781, 466863118, 214053806, 155112641, 350337381, 45635958, 396485181, 963542364, 865760578, 293471205, 162335995, 699569777, 385246753, 941855633, 26261696, 818758453, 197788068, 453636284, 144533009, 7293949, 455556245, 837059955, 351579340, 849331356, 265866969, 933983573, 871066503, 420884889, 626179411, 345904714, 717243648, 459062641, 395843590, 53091942, 709135395, 199697497, 262668269, 527431071, 768884774, 773694035, 436046314, 687796445, 325405151, 695265345, 596731315, 980732690, 220885874, 477115348, 502402924, 255155849, 204075831, 169975378, 865373599, 758268773, 658378473, 910799821, 46875477, 412333403, 487004293, 501599028, 419875528, 609798552, 582539048, 942577179, 200381814, 303887505, 305490891, 779057204, 628807761, 102518957, 828222068, 472803029, 669163638, 848266303, 812640491, 152941519, 536751813, 58257948, 580399909, 127615702, 950565365, 996973225, 952933891, 469823054, 300964120, 76309789, 655088877, 61308738, 406688870, 683463391, 817495898, 390734084, 911089002, 744333132, 563271954, 996553951, 425907162, 257555292, 631884237, 204829449, 651371932, 858424481, 432840522, 810560309, 856082923, 780664495, 242402829, 907374821, 562163515, 835013696, 16934307, 845272154, 785509001, 369017104, 768176779, 840120032, 67454982, 163656735, 973466698, 466677143, 907378130, 821874419, 992187122, 133891672, 939565772, 418891727, 202947470, 927513849, 790272520, 213720966, 196770108, 454886675, 779774138, 187281409, 941090949, 688411563, 777409161, 873231173, 648990261, 594212862, 725995494, 826710113, 371656210, 345919351, 422954686, 451638911, 399309252, 644097984, 403261547, 30750100, 907379546, 72239815, 939500797, 909797662, 664817248, 504537149, 604021070, 259420260, 611302283, 452188710, 166762112, 129379316, 696366065, 517035120, 748294504, 929395739, 141295528, 336508626, 639341992, 471908220, 496783788, 5929256, 109090575, 978885824, 393979169, 729860242, 882345675, 350084184, 507692198, 819832473, 495969380, 324558594, 916980203, 710083210, 375891733, 669684555, 780223651, 80607029, 359887434, 905018575, 175994506, 957914682, 916412298, 288737675, 43406432, 162774071, 134519692, 595721610, 3662024, 852886233, 862263605, 869738544, 781951935, 280260186, 868917066, 667199533, 819946646, 478158874, 118174745, 382873610, 860727781, 547653217, 822418292, 25379677, 922599815, 650627162, 665732, 321113672, 348401438, 630402462, 327587761, 227583538, 898030789, 169914437, 223333171, 531579499, 945756743, 255668785, 819301179, 672272705, 980511066, 687238025, 301600639, 986296355, 679327444, 362870071, 612252004, 937469853, 684540915, 7137163, 553421033, 424350669, 237640672, 30455664, 566573672, 461941414, 823590928, 908183417, 31923929, 957726824, 600320913, 788625413, 177315749, 284836116, 600925089, 798298905, 65677576, 143390720, 755607688, 555043304, 468583492, 458387922, 801269520, 311063992, 78001167, 205520141, 143528215, 323634035, 460975518, 835976261, 653211129, 831183478, 32580705, 370649843, 369852723, 482842410, 329134901, 303182512, 628586012, 523445002, 119054118, 643769620, 824321664, 476276000, 82908491, 98070938, 266912415, 195461769, 225810469, 941834950, 919016274, 527472991, 808315256, 889642329, 709529616, 686721196, 150976778, 195924769, 818207977, 678319295, 883799876, 830531152, 759436371, 753236704, 950776945, 534627417, 910686395, 368223451, 652003946, 752378035, 873658559, 771418398, 223925762, 838300765, 70550569, 405005978, 449312605, 289170851, 571606280, 878727493, 758446367, 625039650, 933476236, 185641281, 265338051, 23263761, 977460277, 131853501, 177239684, 249260940, 929255633, 660309409, 703950399, 28287170, 675503915, 16060922, 677957255, 839796259, 920491985, 216686814, 999240701, 234107109, 370552584, 332441659, 887450552, 380407691, 815865797, 507878696, 789783112, 186105252, 828109836, 97446341, 880967583, 62905455, 798346658, 374337244, 452208758, 495386413, 256600543, 488645050, 664958798, 32056452, 295763797, 485262441, 657506774, 859451763, 684498252, 119355183, 856914225, 352118990, 386805816, 267296130, 202063633, 998647475, 98021615, 141475641, 486823634, 7867973, 919128790, 612176836, 934752899, 664271502, 780217163, 900594232, 725243872, 805204536, 726647896, 402276851, 73675026, 580767992, 50802461, 101961959, 410840953, 963200102, 210698348, 638349889, 781197177, 137475940, 583453298, 553686021, 386735522, 631165445, 622148070, 226268677, 50283240, 44369289, 640678861, 419889931, 659020449, 203612462, 775485421, 148903667, 273365418, 171906512, 181978428, 170180152, 657680639, 302545716, 426721938, 453411994, 548472050, 285722925, 800814555, 523004676, 520963984, 788659952, 456076941, 768426744, 44234183, 546770815, 230967288, 99346665, 720654662, 230845990, 629130005, 611483877, 791415614, 927677072, 352045213, 772457850, 90719648, 834087630, 846151172, 699238888, 864597813, 282414648, 677143957, 518941098, 648550903, 564482130, 56485107, 928126641, 140913948, 466308790, 243877803, 313535875, 687290822, 920334063, 338696836, 783728056, 833527243, 943359844, 674795522, 327125209, 851317050, 790898193, 427910505, 130929872, 117534392, 214669821, 251254858, 910214407, 46786992, 242945720, 205538039, 39922242, 768482410, 37935149, 957830011, 860083320, 633209344, 314966427, 160080554, 5068132, 510751574, 71674938, 787661232, 996269166, 113305800, 196139482, 87840208, 861208159, 61478813, 198261304, 649220263, 897274337, 161655706, 852566275, 852708857, 879335054, 621685380, 263087812, 863408478, 923549847, 940370373, 118301612, 324690441, 139928075, 512661402, 137145026, 257566368, 254467241, 281240552, 546044592, 532496807, 5360490, 695331635, 533302414, 412967114, 356290083, 734556371, 61537262, 209458763, 231105814, 62952415, 272358328, 772525527, 170678460, 735801812, 784013968, 915247034, 346442198, 231904726, 668629021, 397695460, 839789134, 173308527, 364506076, 34222942, 244025768, 787154637, 61116923, 874002237, 157983012, 536959498, 177945470, 823278467, 6099843, 115374268, 679940436, 817985012, 275448981, 129981417, 301871400, 665961924, 805521040, 119565591, 924477998, 527157905, 296177816, 877516455, 588542959, 200788276, 256929291, 366665471, 759998572, 412739730, 6071302, 408169794, 521075639, 889700099, 759069348, 653283728, 617426966, 979408602, 238379066, 802959942, 576739654, 140211485, 30250077, 113556455, 9139694, 607541889, 350918866, 643362412, 870003543, 822004748, 827366690, 569070596, 721830530, 618987133, 145036996, 158410266, 201135777, 17659305, 42611987, 657877751, 878530529, 501273811, 755648132, 46875143, 468158706, 833781088, 939207982, 262973558, 180197267, 963411252, 468914979, 240481784, 270441009, 545856676, 455633438, 635429835, 443735293, 787894210, 674192408, 870385513, 647909747, 611122456, 615578829, 402826308, 956051225, 943629033, 549302422, 152191712, 125586750, 472904342, 598131985, 831507292, 198162107, 111679497, 134711267, 897338516, 393017618, 979516601, 874959375, 870110898, 102352012, 614857708, 217226102, 566027801, 14150152, 251508685, 45902598, 175005429, 985862281, 374699638, 541042551, 654906054, 559355773, 110974445, 968331493, 359051760, 630522955, 304730401, 874651776, 284625312, 195088667, 388467853, 867136693, 987254115, 774244778, 47921142, 413465930, 600834718, 50645133, 712051601, 918650227, 251231138, 385204136, 613602087, 538419805, 947735845, 441169950, 364079544, 801332261, 333155666, 964516084, 200690166, 397639294, 790282267, 356166417, 96931493, 572574261, 205620006, 228155186, 219084443, 37556513, 669956660, 266320746, 204702708, 279035551, 537557000, 372593913, 907360408, 296992626, 184774453, 988754429, 646341796, 272449974, 431852017, 765547114, 455653173, 445326037, 461045180, 105963459, 553390742, 912389525, 879219684, 14153611, 21457101, 866835861, 932209863, 66026085, 421808333, 872196606, 953944985, 392105806, 211201548, 533481920, 817421245, 105023958, 903632181, 41632558, 305389569, 890837959, 331603700, 168791944, 349100887, 100286509, 342913393, 802160403, 881876610, 836236443, 254879116, 660802927, 680842704, 377312105, 738176597, 964673635, 29882095, 168655971, 661398051, 432774238, 582131731, 635534895, 542861035, 91319100, 322031513, 745410799, 523050174, 217818130, 271964484, 175464637, 708758035, 549249832, 951908089, 651860364, 884686263, 1134896, 228036796, 38327130, 822274549, 282916945, 339049838, 491060826, 529843200, 881753600, 223025791, 322458407, 261382033, 912302527, 24785097, 432267393, 850406857, 675698488, 988515613, 456235477, 59051024, 650229008, 177839846, 257799726, 712136175, 217117556, 897006590, 166579771, 737327678, 65775487, 81551797, 893302591, 117309513, 831538348, 460806833, 491624105, 212282019, 416088911, 94693522, 766466013, 684547322, 744511399, 72013297, 633707703, 292196425, 391029783, 320947184, 784907024, 389504851, 857832983, 478303596, 634929764, 10195287, 741385909, 131609584, 240527798, 904691944, 462309024, 120865579, 756193563, 13767180, 195379307, 655349585, 839893172, 298234900, 855849308, 555959406, 308619413, 856866643, 473210522, 666818969, 341381285, 107633383, 739841331, 386594279, 534084774, 952500532, 756102475, 689417195, 604701541, 618434285, 355737406, 454617527, 418903054, 876746330, 627722994, 883899977, 401469087, 602080319, 898148909, 827679206, 249020102, 285895522, 848048108, 867367220, 261149548, 45747959, 65181111, 107961285, 123866544, 475649887, 951002988, 146905291, 467694764, 973728531, 730563197, 428314983, 761587336, 551118690, 593049534, 780904160, 12827720, 252950439, 429637180, 697531085, 283991269, 624914945, 256692015, 185388069, 611094331, 231251697, 716908007, 137730151, 245046585, 105849779, 955659016, 480838292, 269764251, 488610961, 309832682, 319013678, 562143702, 301432804, 209120435, 281282735, 874295065, 811940535, 606769098, 57142154, 616128371, 849020857, 745764175, 798697551, 869903294, 140345894, 900486291, 477928786, 987263771, 11375420, 619964357, 961191189, 803628475, 172040302, 317574757, 925427473, 622684805, 778165717, 362319266, 684103149, 157758824, 450539585, 378142643, 69866750, 689298790, 221991267, 864662329, 496879102, 323957402, 14088386, 708403352, 751322066, 479537062, 571019743, 377700987, 221488149, 319679932, 90437572, 979502799, 573233981, 870608772, 803144176, 627611622, 764253377, 672085772, 212646210, 283895536, 823885630, 111037932, 644465283, 879932904, 172092056, 588209182, 766965245, 224777000, 544087478, 589186070, 925350937, 623094895, 770240938, 567622166, 173522847, 420031253, 744152268, 170840006, 375767907, 22516478, 697926128, 699916101, 325697006, 608049927, 627891875, 245872960, 289694776, 937768219, 462319548, 216608416, 467878185, 700699069, 194656072, 586515013, 874806524, 551185547, 808291563, 177617797, 553094583, 115513759, 179191062, 164866712, 679343996, 308112205, 174720774, 589592038, 293547279, 311396294, 733346983, 13593045, 731898664, 602657183, 105204137, 533806595, 884465697, 485674901, 224868878, 78116516, 998308725, 582068219, 315046893, 620783824, 912591868, 219529933, 544987400, 126518852, 861333840, 120047791, 967987412, 666614096, 963889943, 375155270, 893623847, 322789951, 196703420, 839334288, 710135879, 905186098, 493036672, 898432495, 119858870, 799574080, 379792238, 885975853, 400409283, 688689376, 683444878, 690161195, 80234343, 982812904, 255107232, 887122588, 518283071, 473081079, 635912076, 623122894, 851859557, 506596631, 271174566, 252700020, 779182435, 973607466, 105122196, 89801492, 192768051, 152374809, 669903149, 367275421, 619276038, 25322307, 833941329, 820624764, 311749271, 566357205, 948207336, 194472722, 265516015, 521227518, 314506095, 488319010, 538217763, 468986007, 220450701, 160614915, 526544326, 784359843, 655983066, 28351039, 42985772, 18129666, 941856149, 910334509, 698127148, 204317083, 970094576, 61678399, 620240859, 592973363, 655680651, 724528618, 249403415, 66177577, 296937365, 790509693, 344076948, 380845307, 694230913, 932821451, 257367692, 873890073, 451669430, 932716951, 610483693, 80665493, 941894616, 836884482, 732636174, 361307846, 531352328, 691365811, 21523313, 333818794, 258305839, 708401740, 385145697, 334557828, 748208857, 876599090, 966602362, 328716365, 718908562, 773056303, 683849416, 961003614, 49585164, 759138096, 612066044, 876669842, 80601278, 266528601, 167275562, 141707585, 732033420, 920082623, 67167621, 107751958, 907199053, 219195152, 75766421, 289400094, 880319028, 135761394, 456571825, 154553171, 673846720, 340959714, 70262880, 322531028, 834150118, 997897466, 146880515, 900889629, 90630481, 778952407, 584795812, 821195559, 195486474, 570064361, 26978173, 846587676, 398899331, 568613813, 764870261, 254906737, 32642525, 388050003, 333513800, 975479324, 218510483, 768443550, 488671908, 626553749, 117020755, 34779238, 493839034, 182208594, 972969763, 34616493, 380223045, 538960519, 503371837, 691210367, 171023399, 422079712, 286814220, 424487195, 922122158, 738924737, 868229932, 510757485, 202161093, 375783253, 271610870, 670283891, 844577774, 799627859, 125334950, 339914146, 68815094, 829025627, 200778482, 852480068, 979720045, 973509420, 824518378, 666821550, 604277451, 667733781, 800329655, 327443814, 347706800, 687780742, 408637444, 767500535, 395009134, 8824902, 940007289, 685310882, 721154429, 502225272, 921208612, 530228208, 590300458, 430264586, 204250103, 986629833, 808420919, 504805097, 757500657, 801821831, 28220971, 66164332, 346993060, 72304628, 344728971, 36857048, 3175924, 472394935, 92169265, 769653287, 65965678, 314897175, 288463883, 601181932, 570239707, 496875518, 497831374, 408715748, 201658487, 769752678, 346226040, 447508812, 64314175, 316063907, 800663852, 372934160, 317185926, 111486382, 950063543, 183197921, 181156529, 148220101, 513416377, 75613712, 989948469, 809381119, 603597759, 997975504, 470697762, 473365265, 397691882, 99862880, 314722661, 446818965, 800395473, 334723047, 154152191, 755253092, 430471315, 673943459, 555796641, 867602444, 289846013, 100243609, 628070766, 422634268, 220652514, 324836578, 266692207, 102407758, 461897659, 120219001, 622269125, 78749453, 308277874, 932107074, 614337716, 570141034, 605311136, 442736566, 357711393, 427003389, 351007818, 415227317, 713929764, 989310721, 336062896, 746828909, 267765425, 854607652, 302453454, 950364490, 133952754, 326631245, 128421400, 258228003, 484675305, 176376103, 876288008, 151898213, 247938896, 829351610, 756448724, 179917040, 890785035, 425595032, 36318999, 980939718, 487272466, 552506531, 3058245, 964435746, 484615841, 420469931, 577074108, 922427017, 820354264, 64594533, 599502482, 726126443, 516302836, 25224341, 776854079, 189916267, 882074377, 264303184, 485069185, 155056620, 810301641, 467965264, 124310969, 308596684, 450291148, 796594486, 725375723, 494793934, 723724295, 982703271, 95903539, 189720051, 216674255, 954965437, 307318733, 762732073, 536137384, 670427182, 209863533, 427554460, 115355595, 887506503, 291227187, 765939889, 429813212, 711478948, 502020696, 692273415, 131711583, 718748512, 769363628, 928989254, 497675878, 491928053, 113670898, 612697949, 658613792, 726956420, 604485631, 925780283, 265402980, 303438168, 825047463, 626704009, 752203180, 244854201, 511939692, 448221046, 693980440, 846772101, 245540804, 494181830, 821529149, 367503263, 305124963, 446082456, 132713709, 266404348, 37174059, 390309740, 783842144, 647872816, 975428728, 915066198, 240763349, 928943215, 745255960, 745994031, 265915903, 366361042, 333254321, 594127680, 675902845, 819272927, 36475816, 534952569, 51874255, 179169208, 366445028, 767963146, 57670216, 656525280, 630451601, 501305178, 805016351, 34426867, 663496822, 961930989, 338052002, 373382376, 588916255, 568380267, 323933730, 420752166, 138443603, 360453961, 914691863, 129475189, 443732190, 122070758, 420508009, 676007351, 574075962, 433588527, 704804429, 597656138, 667775167, 711480868, 431110530, 596543867, 737577520, 407748451, 564704069, 476511114, 494202646, 934293822, 249088176, 863858010, 173943943, 806646130, 245903820, 731686497, 888310090, 60153136, 407891529, 249421455, 992226626, 478585977, 354849088, 979070170, 436045412, 619649327, 699830308, 263922803, 758710116, 553630215, 728182959, 834801410, 355362230, 358500102, 673777190, 185006843, 356645991, 220354792, 74320232, 727920357, 624698317, 718061189, 372344714, 230053191, 758632923, 265653725, 781382385, 18815310, 76191897, 61241013, 860063344, 971153859, 333947781, 258880559, 414550228, 293347822, 601729421, 851278713, 638608624, 643347398, 453626671, 853137707, 295734741, 795988573, 241367817, 986906792, 392294713, 323988429, 742003273, 796055262, 88528144, 310092912, 213211622, 925842225, 376279601, 692158144, 727251591, 520657412, 151933265, 579281464, 287826946, 217076577, 865204716, 114207293, 456027966, 676984068, 744568237, 758623630, 876817368, 16596897, 641468719, 173026368, 977738789, 58101825, 229453612, 497930335, 155608146, 560036838, 777151770, 266699600, 697399132, 470031817, 848256930, 135971092, 604120287, 487415289, 299105304, 956965477, 934872782, 816245098, 134642098, 67576862, 521148489, 951898128, 531710900, 973571147, 166135469, 145914124, 994009347, 115554051, 981380591, 542854298, 546010093, 194800541, 609049202, 697398439, 157159314, 844164236, 640741566, 933470549, 586221052, 246100695, 423506346, 209681550, 255970112, 846261931, 231945881, 145931689, 73402566, 469793077, 958286891, 707105894, 69330479, 273135265, 895108389, 924907288, 153991670, 270843564, 868750071, 889867049, 26797919, 521792235, 823686813, 787238941, 138816617, 17483670, 118506143, 343395846, 609123310, 463032443, 179655945, 58931218, 12107735, 446553379, 941797092, 550341910, 30796484, 144983746, 866458050, 967978298, 121751131, 306763009, 177230881, 308961773, 118060619, 216064686, 534725961, 737392274, 430418760, 594228686, 219566756, 982416931, 842310249, 945285664, 658193690, 364957206, 623905965, 973537944, 535452536, 550487850, 702462448, 70563259, 598750618, 985480827, 292545921, 615242422, 471804827, 883786558, 61363155, 609305680, 735532102, 189862924, 479212373, 485140732, 433663019, 277821755, 298465935, 440118930, 100734788, 518316660, 4895681, 306177065, 761467333, 808796007, 471906729, 981472621, 98297081, 891004063, 605721453, 418526290, 516911690, 781488275, 997020069, 555640464, 586822188, 154247027, 38484461, 404401001, 777335953, 54829763, 397925511, 391187113, 289763170, 491105850, 969788201, 412587517, 519263767, 428355896, 161551391, 41620798, 781679865, 126259869, 366198821, 690230939, 827933158, 385576589, 231608703, 242887563, 987499762, 950691328, 74043965, 328971985, 920988563, 427817779, 733989025, 805388847, 406639061, 394265637, 977339288, 341029237, 98527599, 276279270, 356076811, 392301297, 842294982, 167835792, 686585025, 118914670, 136850681, 618306421, 980793372, 521029011, 336976146, 834938942, 847365637, 929151126, 874834874, 427118199, 704542249, 552424108, 434783460, 905529502, 726852478, 2742244, 961098133, 389017169, 997957022, 704940740, 137796580, 740671384, 313578321, 260271860, 286811921, 639440814, 985952440, 117113721, 626548526, 699078424, 432526166, 94277281, 352096930, 762853759, 77006242, 45592259, 22062007, 858315706, 456585263, 653723087, 492058875, 887309463, 106197182, 364028827, 655944326, 906284184, 518083769, 797612162, 129144587, 732329862, 877051946, 559803013, 757711997, 262311210, 514167648, 651838173, 826097042, 94735162, 830332325, 677372501, 202333862, 55298115, 333657570, 503567405, 180086814, 385608457, 702014411, 40968963, 602118070, 960765600, 711283617, 436684519, 30919197, 336228650, 166463267, 620008191, 207317032, 228284747, 783199976, 788043489, 165646081, 18194087, 647254026, 1823099, 588459917, 738241589, 892156714, 116034248, 89167915, 887510844, 759119709, 787968104, 984506189, 337478663, 462266627, 111811898, 691045312, 227324864, 7347663, 722515809, 834434580, 757367515, 254612781, 835021991, 691243860, 8279800, 645583386, 790911504, 800329957, 675218730, 469080868, 896629341, 220370114, 50790954, 384698417, 302688956, 966543523, 267489759, 796805677, 640428627, 837673151, 696092032, 253613989, 306557951, 854574708, 857566419, 726486707, 768006861, 766618301, 995179295, 205525275, 238947881, 323572960, 956725034, 869692799, 614174485, 69713676, 363888036, 911653395, 488977250, 258593424, 795581292, 223767118, 926609254, 349471337, 704759548, 409500674, 879439407, 564349087, 139244156, 207120996, 411896070, 453998111, 132984112, 225657553, 833582714, 384966538, 232516823, 534057372, 305956363, 274835151, 799572109, 504973442, 993818135, 747723586, 103065976, 726445754, 98392231, 32237871, 131173106, 627433912, 297616363, 793197584, 643071336, 602943845, 64313501, 464557016, 976450405, 321706306, 702891295, 953155982, 93700079, 385067591, 585890062, 696941175, 772032689, 100307061, 381992000, 885845945, 752820440, 285228433, 533689908, 954209323, 583016594, 129369053, 449814115, 426872220, 765527641, 322401117, 874002637, 77773302, 853185070, 517167846, 265116473, 622822627, 532729226, 433975690, 328383236, 425921253, 782738023, 939632197, 425242621, 870398735, 231052844, 513198904, 231808501, 556495662, 887074364, 528990818, 904935131, 168906933, 755181646, 338458455, 877016386, 715182664, 641133844, 340470042, 846481483, 381800844, 462420544, 749820876, 939827908, 567056822, 838492264, 330250344, 264348480, 228002208, 76095284, 28530699, 47257901, 887503995, 787407829, 15983818, 888405627, 740850289, 133502987, 462913493, 364170704, 383340425, 935000501, 604092918, 488611454, 330169664, 572318145, 718619303, 959357051, 690642536, 873020987, 466936785, 472282687, 539875542, 542866127, 703472855, 292223971, 262314351, 923292239, 2608769, 918560146, 930468721, 541216832, 733219610, 389042305, 448229245, 885798768, 834669473, 123565446, 248112067, 596745013, 800068310, 146118865, 772162807, 620953539, 455950702, 927694028, 783166843, 257519589, 251318171, 115685423, 463969143, 447164810, 891868078, 539194444, 178654407, 44936566, 579775108, 526057627, 933515873, 363648942, 558653501, 731823898, 222758673, 380089997, 752533103, 188100605, 920822291, 656810967, 716399397, 963702468, 651444529, 70028402, 796444429, 218435145, 665762901, 658239423, 879994500, 85935264, 95836082, 623279667, 316523435, 983137175, 506815629, 218247181, 833609939, 500685610, 173739749, 14591764, 547824806, 287118380, 477601753, 523737105, 806969289, 219584492, 610342035, 326168981, 11159360, 828597597, 832514244, 899245870, 645793531, 599222382, 165816450, 747898454, 174393002, 687277376, 722654033, 530113946, 90801132, 191748222, 671163011, 380567230, 904457224, 823476948, 857836637, 890625689, 204367449, 961707799, 301227773, 261028571, 899479705, 734232576, 638494682, 311095824, 565470054, 670092101, 512873223, 510102461, 941594173, 652930704, 513540451, 932892386, 653037147, 326062674, 322383902, 404173842, 840677566, 192454688, 153264054, 965613228, 568085467, 325246899, 253752817, 609631536, 869225059, 162178052, 254554840, 693680098, 659152680, 788239015, 546858231, 614754985, 873616706, 286921505, 970696047, 650747935, 375575264, 57553585, 126309070, 931262836, 261153019, 794375252, 63713418, 911076743, 404182185, 316172916, 491957325, 17370979, 757095598, 141156322, 311226020, 283113778, 700199609, 375121801, 408176820, 774458930, 181302606, 217805162, 201055723, 328451893, 591373725, 7127093, 129041963, 634375453, 873441499, 403473741, 21316931, 361194382, 626334121, 293965290, 200953792, 191589027, 519816374, 14409316, 195077225, 434177354, 123927718, 25479523, 528042380, 534458077, 709332739, 17083251, 566724576, 922556599, 467543962, 664494457, 224512911, 193588339, 862743355, 509252835, 757284486, 614715254, 762242728, 798887523, 212068363, 592047105, 105429681, 470234896, 729511132, 389940435, 968130120, 41745200, 563614542, 879980076, 882784328, 740348697, 59863785, 106920246, 577894037, 710898819, 810444706, 974618264, 879450069, 130892177, 687273038, 709679692, 660944408, 44212594, 435615182, 775495933, 966624627, 624082300, 811819362, 627726253, 429746873, 864451226, 634390303, 499078261, 616173946, 317117873, 302026673, 489799326, 97486109, 41749155, 466727621, 739763990, 825014142, 247920673, 349357924, 390855892, 712376595, 796384612, 948457471, 892966168, 91611643, 183427654, 992399948, 475838680, 796718928, 203254070, 138285398, 712964673, 710900438, 683245971, 217544523, 494204029, 523491646, 365936435, 390678729, 175659471, 598028999, 946804520, 167407918, 828212457, 889379779, 763684710, 44853734, 209917686, 773541949, 983267772, 205394091, 151754236, 421011463, 48050534, 392679555, 402448240, 542527478, 557490328, 440992980, 519248858, 554591511, 490277180, 321447571, 753975946, 940098233, 702304214, 469224538, 571584890, 830001345, 340597497, 833660983, 145944146, 98649480, 581693045, 489117661, 78261234, 88303801, 88076833, 658227111, 243810461, 589368679, 422463915, 407048880, 990078158, 1646385, 253273316, 80974863, 514338923, 70643149, 643013849, 198891153, 126421904, 267759077, 429547306, 126751279, 700146498, 595945573, 79173284, 969485957, 702008961, 512279452, 139737947, 995651721, 788582655, 350590670, 188647053, 295101987, 659640538, 97207258, 724453757, 688599603, 778370217, 67675145, 707993786, 894194755, 35279586, 580741419, 122275162, 495543500, 117789606, 496522580, 676243912, 988881512, 478328282, 196868932, 572749147, 458238947, 443168126, 519002909, 466675952, 998341141, 27807170, 702468369, 360746645, 568104502, 760960293, 893708519, 644392678, 926039664, 817828210, 433483952, 659211466, 165815258, 451241196, 551671955, 663583853, 775688888, 306124507, 91477673, 932069128, 92557221, 844425285, 542397909, 476321511, 793066397, 974558804, 833754985, 316402601, 356056253, 889383946, 864279698, 874457965, 85741837, 442977616, 22126986, 610723398, 798958191, 212712326, 554951671, 257351201, 529289970, 629422022, 459108872, 95780072, 986045896, 335558232, 389606020, 266574428, 983302608, 417804034, 492659581, 399077530, 314147085, 438022693, 477378573, 162579894, 326893321, 763922397, 67822164, 885168603, 566293141, 961841049, 970225136, 372621033, 781904016, 677600894, 590906467, 909602624, 227026146, 163129135, 548368385, 839867899, 959878516, 56812694, 138753574, 734134752, 37323853, 501757647, 842737560, 748492885, 389505751, 354847280, 849755280, 19451867, 123916754, 525166027, 654188105, 978183096, 351093150, 972970582, 621338780, 798794178, 572905848, 803209951, 845301812, 766737732, 389226624, 846689398, 413625069, 490586639, 631586826, 378589688, 836557811, 298154316, 31550638, 575857436, 884666977, 338329041, 666289992, 845821941, 672345682, 498434266, 485997262, 316901288, 362517089, 858639832, 568635741, 9090826, 828720586, 464542139, 819450928, 845756338, 139284947, 822868503, 927587461, 768173705, 686644380, 553145604, 987085641, 712869100, 437206790, 554208782, 216837812, 550494128, 218573020, 994172585, 197382209, 846614905, 844381101, 495973807, 923473273, 770064470, 474553276, 582607329, 928170141, 198273723, 267529348, 162448742, 602663051, 887820245, 894542273, 143165078, 222754070, 270134085, 369397216, 383752744, 923638922, 833746924, 464643367, 939053018, 625039551, 138250407, 684754564, 653888083, 77584811, 153381605, 267764306, 55548030, 670665762, 713113377, 250746560, 796781822, 574872096, 137396558, 97992218, 643567908, 769303843, 238318228, 885306077, 344078609, 455908651, 481375148, 390467196, 756403596, 250543363, 254106239, 305312370, 697823345, 185632939, 303466665, 520706244, 305341095, 724350281, 330350566, 694065866, 566795840, 348183995, 973341959, 16460408, 946195946, 726690204, 233492455, 624485263, 190103870, 898798914, 198358000, 115599517, 397641714, 828132695, 411507287, 63544983, 742148282, 30747595, 416763103, 17061113, 257557708, 186461406, 4381305, 644934287, 510791642, 797186850, 812005925, 696888993, 414092524, 180144570, 775829679, 472129826, 164432295, 124786350, 821282266, 136591359, 759397016, 797603163, 538060212, 152939272, 798360892, 457545364, 371090318, 877856063, 650137909, 267614336, 910958341, 137198102, 127223669, 865663889, 463612153, 722878747, 416860024, 740218237, 328572624, 471695065, 809298608, 234445342, 494969084, 937480286, 109402336, 508398900, 550558476, 514396704, 63571165, 310028486, 608824330, 101996740, 239543383, 561300118, 760193553, 952610873, 769173707, 921348646, 685616635, 559924838, 367054628, 213039820, 239553880, 155826009, 405177463, 892816871, 165333212, 861353313, 193064920, 513180677, 856568067, 745043189, 258049110, 381746855, 511605606, 900978508, 834569510, 421154462, 161473798, 929148617, 90201051, 551338129, 27633110, 732930346, 567842006, 298074047, 1061767, 630751244, 202262528, 694784735, 337164707, 886779822, 102165902, 247984353, 683751371, 17868734, 66707208, 911196892, 974790711, 467095017, 463151314, 735745658, 123272806, 66558913, 954851456, 350711835, 689025441, 728753691, 917114605, 907930175, 794367978, 696555265, 653040327, 906160420, 671969, 360875573, 920652157, 211872763, 567621380, 103294387, 295031015, 674135555, 853107515, 791207260, 841335217, 433337896, 493999494, 917674277, 102757610, 984274533, 285666066, 730585897, 868368289, 743806716, 412141593, 80202822, 2894317, 212704744, 649931404, 255365633, 313685806, 57933498, 751608290, 478281542, 654923284, 950451286, 692620740, 596616388, 160419153, 46210776, 188926596, 964312106, 143496799, 220148206, 620414542, 636565605, 198643734, 241261660, 21423809, 955518731, 982878300, 256641267, 277847645, 781043200, 188913749, 963564460, 72169654, 288319234, 453077058, 294041022, 486306069, 862077662, 582894124, 469603475, 372667901, 795305584, 883613340, 888285083, 744274749, 230977391, 394997360, 584484381, 111381748, 326008895, 934960997, 410164758, 387971230, 379021857, 89999435, 932886172, 850820290, 98082169, 482434330, 731406663, 80051257, 235153814, 551501099, 332408719, 460504015, 757752949, 315714874, 514811747, 770188234, 337533536, 918171607, 849308811, 962738467, 79384221, 525260160, 152481736, 449726429, 197314406, 729327155, 912930763, 964585211, 959032990, 388299826, 837934198, 73094022, 86580961, 712637327, 337805083, 74470135, 282166411, 500303093, 202276840, 422866592, 462574912, 895787247, 172947364, 266965779, 133405502, 452639847, 530245110, 495993423, 711736866, 430833794, 344794436, 778557454, 236165920, 296516385, 928083184, 721813371, 626895607, 334164694, 757739740, 76926176, 991331464, 450533354, 601875907, 587611810, 578297095, 282886288, 992919626, 17055335, 435660600, 841076708, 900875499, 615910406, 905587496, 20607533, 744540748, 396195846, 198834249, 339249619, 924658827, 397500918, 972423757, 703444685, 382701100, 859700130, 487786229, 872686668, 416271639, 151574597, 717666364, 607258443, 192804477, 111339181, 709842838, 59855303, 119634771, 221165364, 741157331, 553124437, 769473048, 36283976, 754532711, 316554063, 612759022, 364676254, 952562009, 659775602, 594203749, 216948367, 895494634, 49958794, 880355483, 655447460, 33189964, 531341583, 47018871, 808704953, 332814977, 64930670, 268305305, 104414182, 394472951, 369342489, 508366358, 91994217, 736286325, 413432634, 56421862, 924155515, 871671908, 610408886, 809497240, 151925139, 156884821, 69211297, 717002155, 264498705, 811653080, 295444967, 872828141, 772742151, 2910625, 888805674, 940999907, 139491555, 805927478, 919907330, 574867984, 723666476, 259617368, 211003894, 814240874, 390931485, 225288853, 382652870, 902921942, 180436558, 775491531, 836499188, 794889727, 148307509, 743133254, 943530540, 673922848, 296438452, 921465662, 690898376, 941480058, 178485806, 24988052, 41105869, 566754804, 263921946, 117178904, 268360622, 998806275, 56929072, 17814973, 800348333, 390747312, 158210081, 169622296, 839333568, 391427233, 568298410, 512771163, 6333082, 662796781, 688238601, 152014612, 577838084, 32606580, 65628863, 594178982, 489494432, 777780790, 794114241, 637476519, 463183641, 980617724, 590345065, 96063030, 972079773, 299720498, 5947571, 882637955, 480118213, 454519875, 781375564, 450705388, 394333747, 914562362, 158195536, 53375101, 154000616, 705878779, 961408382, 15632383, 886323930, 102313130, 460533131, 84552090, 727327845, 296900214, 547541480, 441032744, 668576080, 182563663, 885540950, 813397672, 706980309, 932364125, 481102131, 805772216, 785175579, 233764608, 83790441, 741292334, 135692340, 463074050, 444629406, 418755944, 974950203, 482567032, 280357469, 343538375, 761359174, 226518203, 231881262, 499679633, 108103116, 468336777, 486045075, 397679194, 269300791, 817146553, 720667336, 673511261, 583468462, 371033467, 896974405, 445142947, 665599231, 547893885, 379383735, 50065911, 736135676, 955318528, 445399543, 96709177, 315582246, 707721876, 413582734, 276204150, 168041196, 317484854, 688147993, 426522346, 685888134, 326492050, 355362028, 140993932, 229407599, 828694266, 815370575, 198776499, 33615986, 443816851, 390899006, 341787982, 8619930, 188170422, 788267709, 771804672, 994544201, 128082287, 286070813, 34746808, 997596079, 910233063, 338130218, 54153119, 484192666, 531752610, 529787106, 281815334, 19622006, 983208319, 390728415, 949600968, 565254116, 947056289, 192627962, 679798517, 892485443, 359712490, 973679665, 85091031, 856757172, 961031659, 546766553, 686316518, 439984944, 218706028, 911397368, 260540520, 330397271, 890384500, 66171949, 558784781, 956412660, 674835188, 319607901, 965521925, 998987708, 586013621, 883377831, 286909577, 213260217, 486323908, 188960244, 63815362, 542384865, 474142085, 856411791, 397136228, 24630246, 66583431, 321205559, 276337667, 926031342, 67256766, 162607461, 975309678, 337990656, 971663879, 963880255, 527931718, 107448285, 862164120, 485420821, 498184932, 329430212, 506005578, 226605309, 990684303, 197156963, 600110734, 139011527, 882391905, 932559910, 681284484, 964627503, 786920815, 332881913, 653270238, 760650532, 451306042, 272187923, 21941107, 631982892, 648867886, 812644549, 441579689, 547202413, 801881283, 910528597, 489667908, 271762765, 150412289, 352857974, 69728686, 754271998, 33012629, 638060805, 881490999, 564982984, 784912553, 467860359, 851650436, 756894983, 145355806, 445821172, 559871909, 207055706, 909071422, 483304288, 712896515, 737886345, 310878070, 519491242, 622683601, 36072199, 966379128, 909956258, 193312624, 947985441, 598636237, 378499003, 612612633, 364262151, 568070387, 348109005, 763433617, 617876187, 804931332, 93795279, 422138047, 864439232, 617060142, 168934003, 839528052, 689295804, 619629266, 71533724, 221128224, 55517596, 152521769, 651069803, 72130098, 484446624, 523105504, 922383299, 784839316, 616070091, 188683647, 508264634, 553522608, 331571129, 428219380, 517121904, 450123087, 778073195, 978229342, 60746178, 847353292, 335736934, 858032328, 490854259, 823395619, 39470445, 237959695, 911597306, 343791770, 624599490, 304869348, 886099067, 989967748, 907556134, 243094930, 396906672, 93376627, 987734109, 651490166, 662316069, 914084805, 562757970, 942284017, 950512074, 888011331, 470368951, 150312256, 232758642, 254627966, 967857221, 706896740, 459409863, 332347746, 512287938, 760035301, 364776562, 694333266, 507137931, 742656128, 612430431, 352795536, 622907655, 695419941, 565110511, 663636147, 723143820, 717213617, 218478822, 720022337, 937529862, 780770012, 473435823, 154749909, 431310644, 501085449, 203969105, 427353285, 844437744, 743299363, 201509207, 322504359, 813086507, 222867930, 930882769, 70735391, 533865755, 668408365, 361384871, 828176481, 8591962, 206749836, 555037000, 680646693, 721042082, 443522281, 216478942, 242086189, 160837557, 14178399, 803102443, 730102881, 445089362])) + + +-- 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/continuous_subarrays/java_tests/Main.java b/continuous_subarrays/java_tests/Main.java new file mode 100644 index 0000000000000000000000000000000000000000..d08836f93c1e79dbbe8d6047d8c9e2b05368ab2f --- /dev/null +++ b/continuous_subarrays/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(8, continuousSubarrays(Arrays.asList(5,4,2,4))); +} +@Test +public void test2() { + assertEquals(6, continuousSubarrays(Arrays.asList(1,2,3))); +} + +} diff --git a/continuous_subarrays/meta.json b/continuous_subarrays/meta.json new file mode 100644 index 0000000000000000000000000000000000000000..44777882fb30f836bd4d35e7805094c643e80436 --- /dev/null +++ b/continuous_subarrays/meta.json @@ -0,0 +1,382761 @@ +{ + "id": 2868, + "name": "continuous_subarrays", + "difficulty": "Medium", + "link": "https://leetcode.com/problems/continuous-subarrays/", + "date": "2023-06-25 00:00:00", + "task_description": "You are given a **0-indexed** integer array `nums`. A subarray of `nums` is called **continuous** if: Let `i`, `i + 1`, ..., `j` be the indices in the subarray. Then, for each pair of indices `i <= i1, i2 <= j`, `0 <= |nums[i1] - nums[i2]| <= 2`. Return _the total number of **continuous** subarrays._ A subarray is a contiguous **non-empty** sequence of elements within an array. **Example 1:** ``` **Input:** nums = [5,4,2,4] **Output:** 8 **Explanation:** Continuous subarray of size 1: [5], [4], [2], [4]. Continuous subarray of size 2: [5,4], [4,2], [2,4]. Continuous subarray of size 3: [4,2,4]. There are no subarrys of size 4. Total continuous subarrays = 4 + 3 + 1 = 8. It can be shown that there are no more continuous subarrays. ``` **Example 2:** ``` **Input:** nums = [1,2,3] **Output:** 6 **Explanation:** Continuous subarray of size 1: [1], [2], [3]. Continuous subarray of size 2: [1,2], [2,3]. Continuous subarray of size 3: [1,2,3]. Total continuous subarrays = 3 + 2 + 1 = 6. ``` **Constraints:** `1 <= nums.length <= 105` `1 <= nums[i] <= 109`", + "public_test_cases": [ + { + "label": "Example 1", + "input": "nums = [5,4,2,4]", + "output": "8 " + }, + { + "label": "Example 2", + "input": "nums = [1,2,3]", + "output": "6 " + } + ], + "private_test_cases": [ + { + "input": [ + 415902931, + 343918193, + 266220156, + 251496706, + 916594909, + 183487908, + 819573683, + 410909122, + 643194414, + 542676937, + 741361623, + 663328036, + 45885574, + 599661110, + 732324972, + 589920561, + 212123225, + 426626601, + 807144564, + 694302537, + 772834813, + 789341879, + 392314988, + 552007717, + 263515005, + 391851564, + 564745148, + 139830474, + 689551940, + 165378192, + 321798758, + 251764230, + 991334235, + 455498208, + 876688063, + 215275076, + 108543552, + 182735520, + 746496562, + 176279307, + 397900236, + 980928708, + 345715919, + 739154585, + 997386296, + 31023045, + 222116835, + 696596571, + 13334236, + 105144317, + 892424821, + 880810494, + 458810796, + 731577998, + 56097675, + 350216705, + 158484779, + 258345418, + 316801452, + 954710160, + 978449971, + 398444692, + 594275240, + 970744182, + 962445729, + 223212988, + 94925571, + 889775911, + 294377878, + 667486657, + 396086192, + 901351444, + 76539600, + 279516041, + 867398776, + 310138459, + 904219404, + 548448102, + 981365777, + 320181554, + 372267031, + 666373363, + 206976135, + 946980399, + 57950865, + 651010321, + 404777463, + 765177493, + 398996379, + 486642989, + 896382232, + 82044705, + 634153953, + 204420548, + 81201212, + 782193870, + 359964206, + 507217952, + 698119207, + 239188305, + 205081346, + 558756534, + 684411477, + 305146010, + 35717138, + 817373709, + 572024012, + 817729927, + 163305744, + 596313192, + 470326851, + 276051153, + 927905239, + 747934607, + 406480377, + 443170362, + 306728982, + 961927303, + 665406848, + 849498963, + 666404594, + 89932725, + 110023860, + 623536733, + 804489569, + 337429056, + 27941402, + 911436544, + 820114609, + 735724962, + 849542104, + 970410031, + 824695979, + 612989017, + 228198781, + 163671669, + 425047327, + 733258319, + 175676043, + 235542330, + 635435810, + 111609030, + 748803563, + 216347518, + 690435317, + 348292694, + 192410068, + 756518625, + 141133842, + 895277409, + 423412464, + 982930597, + 951557454, + 450477299, + 377496863, + 517720039, + 535768354, + 168937136, + 698585749, + 48994540, + 981597766, + 449925297, + 426565962, + 59344853, + 372583531, + 135430136, + 500904538, + 365822648, + 612100021, + 118903581, + 372615514, + 498626430, + 141267371, + 586331432, + 605465237, + 387101865, + 773812695, + 44337623, + 500160290, + 926248803, + 539819333, + 37656570, + 949653760, + 818851998, + 648245026, + 374331139, + 981894497, + 903376118, + 380876813, + 117255510, + 90479634, + 461922021, + 733796555, + 775917412, + 663608923, + 916628077, + 598712843, + 926608942, + 340312690, + 614996364, + 485920670, + 763269902, + 222557106, + 720760553, + 659147595, + 798312082, + 653358631, + 431722794, + 874054726, + 540310355, + 700299066, + 124649589, + 479420597, + 74118813, + 625057465, + 450014467, + 808583398, + 666844052, + 669409336, + 172823296, + 15052321, + 589243485, + 972321292, + 216810258, + 145194116, + 58657973, + 879739883, + 516664462, + 201639713, + 547169435, + 409245973, + 361577765, + 813347465, + 469742829, + 267107686, + 108123445, + 707331600, + 727328589, + 158875624, + 387372819, + 545756407, + 495169015, + 916966998, + 76851608, + 159552681, + 620094824, + 88424962, + 567795392, + 584383377, + 699887772, + 543563486, + 636205583, + 935426129, + 751767135, + 977879847, + 240199148, + 535654032, + 82285700, + 382886394, + 708611150, + 252892534, + 51695558, + 543309343, + 887453022, + 787203849, + 230828377, + 877631359, + 564224902, + 847641766, + 259416389, + 122910781, + 819435044, + 367118408, + 43350399, + 719347191, + 543652343, + 382337780, + 69323814, + 166711995, + 278657005, + 438130251, + 242251507, + 173125262, + 143778166, + 748412300, + 161845701, + 404818465, + 631928486, + 904417072, + 134001332, + 971231479, + 364485339, + 167348442, + 776007602, + 425715015, + 100769149, + 304539230, + 303357812, + 587295883, + 358963447, + 967471207, + 148562585, + 388835795, + 45826475, + 334158277, + 876319935, + 629143648, + 424816940, + 659259782, + 752361212, + 431337393, + 445267894, + 398390358, + 665687065, + 205928369, + 953084298, + 138321091, + 771947051, + 346275978, + 560808132, + 288186377, + 760170616, + 50086999, + 436606484, + 858979244, + 394007143, + 612374509, + 665890061, + 159186635, + 244066046, + 711577310, + 981120278, + 787759585, + 530186071, + 722324102, + 680279425, + 971230274, + 822541505, + 123414448, + 274564380, + 471408428, + 601789956, + 885465084, + 57027470, + 570865181, + 979046542, + 180027116, + 460014818, + 985024417, + 560074008, + 381781773, + 473390163, + 525110423, + 475707615, + 126679862, + 514656123, + 95605997, + 67775680, + 301098014, + 264024852, + 926381537, + 473311241, + 108705898, + 500084279, + 516676800, + 778974925, + 553024639, + 555337372, + 485450061, + 104179915, + 803004275, + 184407279, + 235526325, + 371294052, + 223093969, + 655591449, + 459926030, + 530201851, + 642145772, + 525023518, + 468809826, + 874923671, + 501587638, + 677137377, + 950827993, + 480428390, + 363995121, + 155292808, + 923762237, + 757371572, + 88947379, + 694894144, + 243376480, + 729389169, + 392027665, + 653904713, + 813539533, + 862793901, + 654334365, + 931369696, + 68302198, + 559183607, + 665541995, + 221591357, + 762741076, + 159857055, + 871227047, + 499415051, + 486039621, + 159431606, + 11778775, + 632909231, + 787866621, + 990429816, + 912217229, + 239241297, + 503344535, + 60105056, + 465265818, + 551428341, + 131087483, + 199786217, + 63134374, + 323486675, + 491542166, + 758614678, + 357311342, + 572343650, + 218913868, + 564501740, + 322199933, + 438790300, + 225531396, + 198062739, + 384893895, + 441912825, + 175638373, + 277513619, + 91317600, + 148289971, + 597198109, + 205305918, + 249361347, + 662630540, + 65558320, + 168764773, + 549188770, + 643419810, + 876225308, + 606985887, + 273898099, + 375519918, + 653568634, + 265557482, + 326560752, + 309328679, + 14302393, + 569914931, + 135218898, + 516235740, + 400077968, + 721441250, + 476512682, + 483941521, + 404162131, + 393365293, + 11449542, + 879912141, + 262942089, + 945331120, + 854311826, + 340673963, + 896206661, + 963141047, + 370096397, + 301784532, + 593329434, + 852363231, + 711714698, + 787822287, + 434337915, + 152493368, + 132734514, + 388228301, + 709145968, + 726983239, + 523139762, + 768797466, + 741788982, + 752029251, + 684075679, + 958927940, + 577639504, + 944217021, + 599841786, + 707840487, + 248977856, + 594454445, + 900709692, + 467976351, + 399766897, + 379150375, + 607917522, + 408334398, + 854129910, + 619887569, + 807290715, + 320707811, + 549330623, + 437307127, + 833667633, + 943075445, + 145485948, + 81449846, + 928745062, + 781275911, + 37515882, + 950948526, + 925455693, + 67662739, + 762077401, + 126687793, + 299297581, + 720002928, + 427858529, + 403527296, + 982673616, + 806118267, + 39181325, + 81126914, + 701223925, + 527054232, + 477357094, + 594426372, + 179751606, + 324394627, + 597846435, + 977707861, + 746832057, + 217609570, + 254370142, + 117410536, + 618146951, + 881763355, + 823970630, + 268544114, + 200897891, + 443180476, + 393233634, + 32912048, + 263885175, + 26709958, + 912919408, + 814596187, + 596847315, + 140510290, + 867848251, + 814987943, + 475312984, + 885538269, + 853418525, + 130739000, + 280308826, + 602266456, + 938792077, + 308991245, + 869648497, + 621946378, + 943797994, + 179675240, + 110117178, + 41430879, + 385218589, + 212131683, + 369930198, + 38140291, + 316668078, + 624460174, + 940497197, + 454608013, + 833389785, + 342236403, + 181055820, + 493301053, + 80215646, + 659127078, + 45340872, + 210618389, + 696552416, + 837934125, + 342997290, + 853071954, + 734877215, + 917544854, + 852499446, + 254114464, + 973800383, + 811815065, + 108099828, + 990819965, + 463543612, + 530888483, + 96638612, + 411579764, + 934331239, + 520287528, + 37805397, + 921106884, + 640426059, + 416280003, + 912937942, + 223176476, + 774291540, + 814531692, + 791424121, + 359216579, + 111950214, + 366505788, + 988563424, + 295247481, + 110137226, + 156294890, + 419560002, + 408577301, + 313586169, + 550357513, + 876308477, + 437205835, + 79377204, + 325471745, + 12588973, + 114081620, + 383433022, + 834937520, + 409231311, + 825526602, + 368046298, + 400032468, + 393909536, + 101946552, + 540132651, + 379797928, + 890731502, + 857575093, + 791295460, + 489939814, + 89323658, + 402991123, + 427021515, + 709457270, + 41336560, + 938137497, + 301887951, + 165545221, + 362383210, + 810879792, + 636549198, + 489341040, + 823131648, + 915984233, + 303781349, + 479498612, + 385001542, + 541693676, + 573558863, + 510891225, + 444028533, + 889454313, + 540363646, + 928270717, + 88745581, + 35929672, + 488807567, + 447994293, + 155494206, + 698751037, + 298450577, + 548885397, + 255135343, + 667981461, + 989740351, + 20515178, + 401874407, + 987571033, + 726500474, + 571041455, + 84540112, + 31360380, + 310260296, + 776215999, + 198961617, + 417963939, + 144956746, + 628473133, + 772183586, + 956822830, + 999096513, + 43685273, + 188445688, + 654342728, + 589270791, + 19297632, + 641302262, + 188550051, + 977227750, + 404037387, + 169012380, + 708262880, + 764890124, + 855467928, + 585262432, + 314138860, + 366288161, + 776621414, + 317399983, + 844938538, + 843064638, + 51350869, + 375136826, + 368803587, + 256849950, + 919061180, + 637721104, + 686429659, + 400201974, + 594623130, + 733324199, + 119938777, + 893355661, + 261240180, + 943725233, + 85372073, + 25991337, + 109468766, + 972467970, + 866350374, + 133906251, + 447989266, + 334794415, + 256900901, + 905952094, + 117812741, + 220933019, + 522344545, + 615336554, + 26921928, + 737757611, + 644777445, + 319778814, + 195153693, + 56688377, + 912675542, + 607989150, + 359941448, + 426924141, + 198326046, + 521793884, + 610626797, + 899273984, + 551956070, + 860233591, + 514946423, + 14750699, + 786155699, + 973917161, + 494080151, + 649919430, + 26479127, + 905060380, + 418727474, + 297174942, + 846276599, + 327938165, + 541235879, + 480941781, + 90636134, + 212672689, + 904218174, + 143551685, + 548377510, + 343960900, + 33212668, + 863546682, + 114065982, + 999189930, + 85082454, + 918982387, + 656568206, + 45636337, + 969080868, + 217059411, + 250798351, + 784408324, + 884424341, + 783340188, + 315343412, + 193563098, + 659735953, + 121066460, + 650016257, + 998679653, + 383191728, + 612291913, + 536058969, + 281559985, + 446460923, + 420342884, + 979485752, + 695888234, + 485554056, + 800927383, + 585717697, + 599539894, + 917876401, + 425935333, + 802314797, + 261121982, + 585796198, + 734136831, + 782391497, + 521669383, + 691406502, + 372666024, + 56537220, + 489598454, + 181815522, + 582336535, + 837892317, + 490755172, + 558334744, + 773718272, + 384994013, + 984251427, + 984679836, + 44396218, + 710244085, + 205938018, + 125441107, + 249899049, + 980373875, + 548349804, + 415091238, + 981065993, + 610621714, + 93111988, + 653339519, + 890019947, + 789187318, + 318823886, + 614224585, + 633385937, + 925582926, + 864844172, + 7868899, + 742202417, + 545800947, + 561876572, + 875578320, + 921195004, + 931366309, + 931275275, + 788099939, + 417768958, + 299851617, + 836067526, + 790105584, + 39692929, + 616382255, + 98140074, + 687177418, + 761967952, + 772748537, + 275315241, + 118206894, + 619824781, + 252652477, + 794173579, + 186382068, + 10723234, + 187088429, + 414963981, + 57333333, + 874954463, + 412518961, + 156763648, + 670778434, + 340118276, + 593541945, + 888702329, + 829245261, + 768173067, + 495261498, + 599363134, + 442116198, + 209548962, + 157114328, + 191145118, + 273520023, + 521543459, + 460745407, + 804019667, + 669709185, + 919926155, + 496766140, + 394107609, + 513190794, + 205409200, + 290347936, + 785662769, + 280470876, + 600661780, + 714026288, + 114555845, + 800388235, + 227407620, + 985616086, + 153380624, + 431848248, + 618835904, + 466713604, + 524410020, + 162629189, + 556422154, + 123282528, + 237265904, + 728600549, + 453960639, + 946996998, + 126725530, + 258892519, + 655632965, + 411844729, + 625879106, + 899717627, + 321193051, + 284821106, + 59134746, + 208723990, + 406193397, + 64899581, + 277501112, + 349323520, + 987418542, + 560639320, + 141917865, + 390260102, + 101455033, + 138984464, + 498012351, + 982652185, + 611842758, + 632314569, + 283311835, + 949015010, + 760547535, + 953130687, + 550659892, + 929877931, + 359473421, + 672262007, + 137651174, + 474010919, + 867041306, + 770508769, + 204424287, + 990063011, + 173170699, + 394339916, + 743592053, + 692012165, + 550116076, + 777700405, + 816860400, + 967099490, + 53486911, + 694106671, + 198151680, + 312070798, + 792301040, + 352617740, + 359823999, + 633304835, + 241725097, + 169276529, + 945998733, + 618684063, + 198166443, + 816803088, + 283080272, + 617690904, + 576492605, + 578188824, + 209324202, + 276420259, + 841043145, + 832328682, + 94544538, + 118719179, + 472245613, + 339503332, + 175011231, + 489384553, + 380019973, + 358751815, + 529196253, + 238794070, + 607676745, + 814855859, + 355917580, + 996980214, + 500731470, + 200577529, + 260006012, + 26657560, + 991919687, + 294784898, + 736175780, + 219525471, + 637569872, + 138966025, + 189965450, + 867559998, + 724256132, + 569587683, + 175695635, + 684850772, + 298291560, + 812231200, + 899045283, + 810970786, + 286761376, + 383402950, + 458407692, + 930299966, + 398095497, + 847480246, + 431422509, + 566428017, + 791425006, + 130818957, + 684618461, + 968607979, + 618042115, + 295303881, + 454510298, + 563179362, + 28870578, + 194820456, + 568782832, + 682979358, + 855258783, + 78583497, + 120494735, + 772468593, + 227204808, + 526472013, + 884349547, + 952231280, + 931281800, + 467267741, + 653091425, + 142902506, + 631515518, + 253553048, + 338079384, + 627550829, + 76932888, + 943051586, + 126635481, + 500954344, + 801682612, + 979997221, + 643283433, + 13698932, + 28660680, + 441726112, + 246449766, + 599087994, + 287026219, + 689661734, + 397333955, + 949483901, + 151018152, + 130670962, + 582993010, + 467929741, + 990458999, + 528218405, + 24211219, + 886495033, + 344673256, + 192842794, + 491298802, + 302058888, + 502537110, + 988015671, + 491420042, + 680424891, + 618826640, + 226642954, + 927551037, + 998683274, + 892575330, + 100849562, + 140635788, + 50012733, + 341035251, + 852459121, + 108464795, + 353575354, + 180152314, + 635450499, + 89918449, + 582578237, + 318984094, + 628506862, + 329546412, + 611824016, + 868686128, + 245684142, + 867652842, + 476617049, + 560305432, + 628271533, + 940401454, + 716513579, + 473252054, + 792790347, + 89034853, + 455673819, + 448349076, + 991271869, + 327105550, + 602993663, + 910781760, + 245948404, + 181902160, + 893509760, + 802439559, + 972008647, + 574300880, + 849416383, + 479694826, + 213468710, + 686417796, + 12131605, + 759141647, + 673343680, + 929768719, + 398677744, + 230171887, + 536229341, + 502697225, + 8621351, + 444608161, + 954505555, + 320444496, + 763608538, + 541152835, + 754093180, + 348261790, + 731870876, + 297215714, + 513582291, + 33685032, + 945308068, + 214179253, + 722307252, + 494532577, + 342070717, + 549271982, + 678121432, + 174626782, + 273911249, + 198443744, + 176441839, + 578572123, + 283499836, + 948559193, + 820007248, + 777345593, + 146463876, + 794239644, + 411276076, + 198687112, + 369380238, + 234625304, + 614278361, + 568577000, + 929861978, + 279832732, + 833998916, + 887232649, + 163297983, + 906687402, + 221457235, + 8196848, + 623931127, + 812420368, + 606172951, + 290113567, + 283129979, + 597980013, + 36242679, + 903081199, + 26738657, + 41378097, + 662575437, + 741675378, + 889829968, + 288350116, + 705852682, + 226311698, + 170109999, + 660407202, + 56075760, + 43814766, + 827412657, + 376765311, + 661831955, + 281993556, + 160051272, + 319774360, + 151301347, + 184069574, + 982240264, + 784741467, + 244750084, + 618309713, + 564069246, + 307846258, + 700893594, + 106386154, + 941471149, + 464414105, + 778073539, + 769283539, + 3763418, + 580817187, + 437744161, + 151350776, + 309962724, + 557210490, + 191442566, + 553664640, + 35241531, + 244878978, + 581571292, + 922390607, + 100939814, + 232335133, + 229638070, + 412208733, + 146578803, + 913949773, + 14029973, + 730579429, + 520278699, + 729811993, + 545322699, + 440166877, + 582515703, + 565588988, + 130618091, + 372864829, + 232394494, + 348115471, + 506460365, + 599819717, + 135669236, + 603693565, + 786042117, + 111167478, + 265267581, + 42618303, + 8284606, + 233792584, + 866084623, + 49927977, + 911140656, + 449105107, + 643123591, + 687395818, + 532818270, + 689787965, + 790340589, + 755500740, + 48818335, + 196865366, + 413225471, + 396125602, + 118780422, + 942775087, + 595993221, + 850156181, + 542511697, + 959505827, + 668010806, + 446265171, + 731612981, + 621407556, + 351925506, + 652542430, + 450549982, + 899159930, + 40275843, + 719902455, + 916579810, + 48003508, + 185006249, + 545000289, + 508807244, + 492022468, + 215760334, + 847561596, + 257239832, + 307116450, + 6635172, + 964773198, + 529186330, + 840943613, + 768013422, + 619013824, + 505897222, + 766105844, + 841605557, + 484130869, + 233569649, + 916450692, + 376755377, + 479426177, + 700999389, + 53907425, + 597054039, + 215568397, + 620654148, + 446264637, + 22768052, + 134699762, + 740678283, + 700172819, + 523754930, + 294118369, + 628362335, + 392483255, + 131631585, + 85480732, + 305983558, + 809282938, + 513706258, + 303391000, + 446476712, + 776161599, + 915611511, + 201467652, + 143115152, + 626091712, + 112487937, + 952711908, + 172869051, + 451301594, + 362766179, + 242973290, + 393353834, + 42778944, + 654637361, + 777266430, + 632176682, + 990433001, + 713784885, + 263688680, + 284520555, + 737811258, + 224396004, + 197808097, + 341480987, + 881277109, + 975537957, + 544704402, + 78626213, + 100125785, + 131586059, + 979527441, + 623791799, + 228831939, + 974705152, + 368335886, + 202810047, + 869593497, + 643604524, + 696160398, + 891428634, + 164292548, + 898212469, + 111586326, + 859013929, + 696000410, + 318421120, + 898674055, + 497806398, + 814066756, + 834522674, + 357888468, + 816841562, + 211728407, + 702680887, + 874222899, + 238700034, + 421065613, + 54581, + 681152962, + 876568723, + 285497070, + 329623789, + 75975532, + 920867244, + 251148866, + 681414139, + 957853167, + 244914221, + 752228579, + 279339488, + 749666579, + 388249400, + 4801154, + 78712371, + 354388024, + 242310714, + 735109332, + 935100651, + 795591037, + 633980401, + 329092036, + 282510854, + 440041810, + 705635003, + 936183632, + 256236473, + 578547139, + 161836620, + 940234184, + 398847610, + 33611306, + 965471222, + 381623886, + 955201404, + 259720576, + 939499629, + 643399769, + 164048277, + 304481041, + 400817342, + 594069941, + 95186122, + 657805226, + 629679545, + 836358435, + 881607500, + 120267799, + 171431270, + 696611255, + 646038085, + 424259836, + 109764682, + 542153748, + 93789679, + 724228038, + 705852733, + 217642123, + 446402304, + 491951158, + 980474347, + 708377586, + 842372511, + 976882548, + 432496085, + 267659998, + 822594553, + 130916915, + 5134118, + 356509195, + 263898477, + 110999291, + 297873854, + 355324409, + 163011428, + 559408446, + 99435658, + 78131107, + 231995598, + 815207977, + 897258097, + 839188204, + 784000383, + 159108332, + 696359633, + 50932674, + 110776450, + 466407712, + 952209160, + 828860074, + 47546523, + 891243967, + 252519533, + 164877954, + 381444813, + 491867704, + 791304451, + 17331092, + 964255464, + 668213815, + 871275306, + 873264764, + 593039755, + 187112222, + 343064180, + 542773845, + 264582860, + 660393043, + 647601005, + 776194456, + 896998029, + 989291709, + 113474139, + 88662129, + 769505031, + 482152702, + 833393927, + 355844506, + 894417858, + 292492921, + 87604666, + 902012321, + 586207225, + 501646501, + 981754779, + 502288558, + 877379895, + 706413168, + 576148970, + 410578235, + 20945747, + 989181350, + 17602072, + 683196311, + 188584409, + 131982612, + 978220697, + 306486586, + 759703963, + 144768016, + 365980024, + 65320353, + 799275979, + 92406049, + 998675190, + 338575038, + 920898466, + 53836609, + 968526252, + 853152894, + 789501549, + 414800251, + 771545069, + 23458685, + 639828234, + 500157268, + 856064389, + 316425486, + 740406692, + 200040871, + 83306361, + 536199447, + 262281238, + 267492277, + 855876600, + 372826863, + 921586054, + 962690980, + 332166512, + 846311021, + 208139679, + 968877624, + 900835663, + 526083887, + 936151061, + 58566586, + 865214042, + 189345854, + 42569812, + 962868930, + 905358820, + 701685172, + 447789891, + 902949797, + 415618356, + 282859584, + 650268084, + 8580589, + 411700698, + 666725777, + 668158529, + 104897449, + 896537086, + 488498362, + 768907014, + 807105438, + 356068079, + 385921172, + 60483201, + 174599726, + 697904490, + 626152102, + 625759667, + 945859656, + 933388664, + 566902118, + 530910643, + 535038847, + 535951233, + 758715057, + 672129773, + 898138443, + 46515879, + 180988489, + 713885754, + 409614037, + 904997139, + 622838313, + 361280318, + 139586565, + 805605129, + 41162927, + 841603864, + 112220197, + 986753209, + 960244374, + 728915396, + 474392390, + 426945710, + 634225484, + 964830741, + 429334280, + 97755248, + 106752260, + 852793020, + 976235925, + 295065926, + 825804272, + 415663815, + 431893425, + 636849261, + 727164446, + 598380132, + 345053103, + 455043602, + 775522277, + 321665020, + 742300155, + 169443938, + 488823775, + 203696483, + 75850661, + 392404870, + 591138159, + 349384546, + 387939524, + 11825507, + 930571331, + 426634776, + 680474276, + 59946238, + 201287729, + 292570, + 894720462, + 345091225, + 995739924, + 746161431, + 912848934, + 557137626, + 196809404, + 835035144, + 35619532, + 974242760, + 592392653, + 863278427, + 19959589, + 286505553, + 959675261, + 715976838, + 182025071, + 620280942, + 450656400, + 638674780, + 80528605, + 530312303, + 4128717, + 409664605, + 796178829, + 414779144, + 6030155, + 761645867, + 35248316, + 964474520, + 910906170, + 268552509, + 998034551, + 884625023, + 3009414, + 342066015, + 340353639, + 161064763, + 994890192, + 166831059, + 621435399, + 625304861, + 518291640, + 557128863, + 446249797, + 57288599, + 152426741, + 348092660, + 787332614, + 809693333, + 511269214, + 351901108, + 944629385, + 875581607, + 592461905, + 121901661, + 760211342, + 639602791, + 959313310, + 929319598, + 487022892, + 603282233, + 894982964, + 770683677, + 628888089, + 759460265, + 135638920, + 121279303, + 428917572, + 930555972, + 21832857, + 712376596, + 721944545, + 586357821, + 594600467, + 774164215, + 649113424, + 2414758, + 232212123, + 3944493, + 467426076, + 521470628, + 995071724, + 512231976, + 684765594, + 247706270, + 300585372, + 191150210, + 449348711, + 986573883, + 861011457, + 215489592, + 25705599, + 354527756, + 900779411, + 958352047, + 602167790, + 989148488, + 756985814, + 220859629, + 19092827, + 350932159, + 281875443, + 545206440, + 12865966, + 259580504, + 432160769, + 121654297, + 264983790, + 501681741, + 917960333, + 848601766, + 163753074, + 384446515, + 630146161, + 211261683, + 264531719, + 964161482, + 394331624, + 863397641, + 754018903, + 21223153, + 892687164, + 541096705, + 887768692, + 24463639, + 586500507, + 637641921, + 708831194, + 656192636, + 655836254, + 651099107, + 307302717, + 812817593, + 71808166, + 961531667, + 481937901, + 446164337, + 752855343, + 371967589, + 973987233, + 354413351, + 522229860, + 902204682, + 767069940, + 965870175, + 966880049, + 407881245, + 780805914, + 674811574, + 91140507, + 994188165, + 732896392, + 891802091, + 158572499, + 857223349, + 287637819, + 986750608, + 623374724, + 376166470, + 950447278, + 904412069, + 840955386, + 401040676, + 30513266, + 968937242, + 953271139, + 375372042, + 550583618, + 562196031, + 11916909, + 321064846, + 562063521, + 659899177, + 855458794, + 97125243, + 183133820, + 625483434, + 149876836, + 892305894, + 698214810, + 670574053, + 759144613, + 860249775, + 799085495, + 511329745, + 683228791, + 798773339, + 985665847, + 486195449, + 35760099, + 457314137, + 432876689, + 128661931, + 566801794, + 8669810, + 489015798, + 432577431, + 967334461, + 988562663, + 428296866, + 253609377, + 626285956, + 63799772, + 91401723, + 713874260, + 27688639, + 532659291, + 253804246, + 320566373, + 481349217, + 774296015, + 205418279, + 668154756, + 686663195, + 160111065, + 702289077, + 384849788, + 554419790, + 10665826, + 907933946, + 77613660, + 572559725, + 502014564, + 557192130, + 141557761, + 709364920, + 517389599, + 814216513, + 447442480, + 506846217, + 870221089, + 125197552, + 150325807, + 262592179, + 506511418, + 135061498, + 477280673, + 740807876, + 273773181, + 642724083, + 314114600, + 593756644, + 90991288, + 853624163, + 294179489, + 448501554, + 665893775, + 467779444, + 718626157, + 404790335, + 987039675, + 708486901, + 970122582, + 101432605, + 509356055, + 501575755, + 2563587, + 236884014, + 908163194, + 115523961, + 19307673, + 842130071, + 453858342, + 947561791, + 656503425, + 790588642, + 706334271, + 215151268, + 21285842, + 416751109, + 985340660, + 310289405, + 653431282, + 501585611, + 274181187, + 899423229, + 748337790, + 157178486, + 500493615, + 270986535, + 900485172, + 653911191, + 320367950, + 931052248, + 201170969, + 554894802, + 26300819, + 777947238, + 498368070, + 200020178, + 536502490, + 82201567, + 594930838, + 997168827, + 977877337, + 517137844, + 833697582, + 180074720, + 690381186, + 745339479, + 364247996, + 865682377, + 514915225, + 179906767, + 532890384, + 304094368, + 248612046, + 294792219, + 833121134, + 550428759, + 305328370, + 701982542, + 301052734, + 43851237, + 307291628, + 973874210, + 918700840, + 346348197, + 796604574, + 460052835, + 893496414, + 505179361, + 780071430, + 402878401, + 171469672, + 942128267, + 377639456, + 253858839, + 830942035, + 964214713, + 458806493, + 473632631, + 981081405, + 922642864, + 295549351, + 678430230, + 914102422, + 509611926, + 673829145, + 627984628, + 635600513, + 709754968, + 290786731, + 989744342, + 950365514, + 766903751, + 875964010, + 247747342, + 192108339, + 308274524, + 182263423, + 562107454, + 141241451, + 156198738, + 425937800, + 224086285, + 914288065, + 404610570, + 851852936, + 512910205, + 43222368, + 878034169, + 138243509, + 938038233, + 410478860, + 270819312, + 264971617, + 521702342, + 508265327, + 584474265, + 681247831, + 984288181, + 172974387, + 272581074, + 1353079, + 805427009, + 484659550, + 266372693, + 633505277, + 536132958, + 304533156, + 948486152, + 683118565, + 764604085, + 805185808, + 470262646, + 468260655, + 475248120, + 287633800, + 468533733, + 258984448, + 459073886, + 706767891, + 236223445, + 175585499, + 764874224, + 942725468, + 562574909, + 605406847, + 887007795, + 685272206, + 423120220, + 137422838, + 492249852, + 854647241, + 198869029, + 522582948, + 659430846, + 917506212, + 400306500, + 221109888, + 341616335, + 360738075, + 194576435, + 169001618, + 531509871, + 250853688, + 324980221, + 456714738, + 588019672, + 495029531, + 845713805, + 168510951, + 978648511, + 500666992, + 935600802, + 762702298, + 341328805, + 891673763, + 301395736, + 264730296, + 18515792, + 484386422, + 84127533, + 945270089, + 640392530, + 33969145, + 66348030, + 204224550, + 102584800, + 941044349, + 131168486, + 862882976, + 626330819, + 459187126, + 595521113, + 639637110, + 173520802, + 602440711, + 464637515, + 143350828, + 574873994, + 220125693, + 613920077, + 823042421, + 961302344, + 793300569, + 899578075, + 476509459, + 323880712, + 683293263, + 202808518, + 585403016, + 326329579, + 506019079, + 518710214, + 582497911, + 31641984, + 920877767, + 888450444, + 18279944, + 48845127, + 388522338, + 156375295, + 685914448, + 858397861, + 655355569, + 80582599, + 191712976, + 164309889, + 142186957, + 943803451, + 663914691, + 646457243, + 970009725, + 354737149, + 417271195, + 560883913, + 849007805, + 838228256, + 149440714, + 300893149, + 59920171, + 930281672, + 772235928, + 242922802, + 748561393, + 505300356, + 129374686, + 176169178, + 314148666, + 739272254, + 504761119, + 916198290, + 653125549, + 558384527, + 519094754, + 258306202, + 114719999, + 659808559, + 8954796, + 645212490, + 790321989, + 158432393, + 181222855, + 582573524, + 347402695, + 699753381, + 442359487, + 359750256, + 508747627, + 398594543, + 870387256, + 963415522, + 724574928, + 653436174, + 414480107, + 721490191, + 889185828, + 906219250, + 568782816, + 537589789, + 716532175, + 546722697, + 777643945, + 852130035, + 468860539, + 7136281, + 170526545, + 885543856, + 82783488, + 960449022, + 836992151, + 514040329, + 829975974, + 318417595, + 641513350, + 302678673, + 59545782, + 42738923, + 774542038, + 905581919, + 419940574, + 675426138, + 989452754, + 385822280, + 23332060, + 503843889, + 739527422, + 505868863, + 699260049, + 188052797, + 14161944, + 196425888, + 974356665, + 123482602, + 108328254, + 87491, + 209036214, + 587899317, + 960678588, + 409254501, + 165524498, + 875497777, + 419471823, + 384892271, + 238034757, + 563228577, + 235429391, + 176675284, + 241532658, + 19271968, + 655004281, + 667824195, + 910879418, + 256305800, + 161519927, + 396332921, + 169550176, + 552596823, + 369756125, + 141390563, + 30165568, + 980367986, + 159807501, + 788538051, + 24076561, + 926637406, + 961751216, + 324039683, + 561135398, + 656064151, + 897044598, + 600511976, + 454395708, + 205200052, + 423051082, + 395475821, + 845123549, + 754290907, + 648933244, + 158288834, + 814191034, + 130171591, + 195892347, + 168525314, + 703382543, + 997089887, + 914834348, + 40712576, + 427385412, + 732430090, + 356998681, + 55673321, + 524723219, + 663416841, + 564219561, + 564840225, + 79696385, + 556073553, + 707208933, + 904866516, + 280555765, + 818083286, + 991137230, + 824498864, + 688568314, + 170313710, + 515672966, + 159115569, + 368665922, + 781463703, + 308637530, + 851713997, + 31192882, + 209788821, + 784732418, + 673355249, + 105154249, + 288939922, + 291972898, + 896421883, + 592236738, + 706378062, + 451867015, + 217051569, + 292049552, + 435396117, + 490839926, + 779589312, + 46507405, + 365809494, + 852138828, + 332718164, + 264344949, + 907713277, + 902999529, + 340981875, + 992573993, + 432887883, + 763008077, + 540261798, + 290691367, + 577532090, + 180110254, + 708922303, + 301164153, + 328183624, + 350475206, + 132326927, + 563926674, + 199917935, + 876860122, + 876944200, + 345798994, + 941988910, + 967920288, + 660162865, + 705579271, + 239829252, + 512245670, + 504420813, + 822998846, + 503533036, + 735456800, + 31553207, + 949425823, + 925406174, + 684600317, + 961678582, + 315635977, + 451562628, + 265510105, + 914414632, + 749077481, + 183981963, + 876324458, + 594709151, + 2415680, + 292759144, + 221872720, + 842964836, + 21108827, + 929370588, + 951935151, + 491465769, + 188984185, + 21789713, + 35819677, + 799353867, + 151215135, + 731521792, + 183685205, + 952687401, + 128692770, + 953799857, + 194612277, + 941157061, + 535039276, + 917931754, + 628618722, + 534010640, + 195685479, + 678036431, + 467654065, + 693847026, + 623920989, + 742239644, + 783326200, + 155021930, + 711597468, + 980106776, + 946672526, + 179347347, + 243721669, + 729943923, + 155539334, + 131500514, + 790593009, + 169118489, + 257009110, + 941886483, + 446374905, + 497385096, + 946380366, + 725922536, + 395095751, + 347493276, + 972709897, + 360229347, + 509544962, + 525716197, + 350361286, + 801728928, + 118222608, + 33113604, + 331217478, + 444729392, + 593230458, + 30719189, + 433945225, + 899385744, + 970325010, + 813441208, + 706390394, + 289831299, + 861526262, + 11998444, + 397164252, + 848342039, + 543245963, + 795138065, + 399173680, + 705074570, + 720739547, + 278453088, + 285185252, + 978351894, + 59235513, + 91750329, + 526182231, + 25717729, + 277883658, + 570883659, + 111504956, + 751345022, + 311887111, + 387426878, + 305247972, + 697111263, + 820019424, + 549168345, + 727937903, + 409448308, + 871266275, + 824153472, + 216373083, + 191211148, + 448842413, + 444892338, + 907140569, + 135480380, + 121359849, + 76328556, + 157574604, + 901204338, + 383863570, + 274362722, + 592825990, + 605671360, + 821281508, + 49809865, + 57744112, + 204234285, + 735643129, + 638923501, + 440086792, + 709316029, + 498926061, + 309698225, + 560778870, + 467769445, + 787278636, + 17572327, + 594392990, + 893293763, + 670029764, + 484477221, + 214091117, + 753398345, + 525451993, + 853262702, + 127000233, + 853471665, + 847719135, + 439661331, + 60562497, + 446341768, + 990186659, + 729298241, + 821428284, + 432415196, + 320514917, + 787195136, + 824530040, + 939554800, + 572021302, + 264844651, + 87550257, + 143559288, + 641214401, + 961704, + 271292539, + 546329987, + 759918532, + 824700895, + 657950775, + 376517340, + 136815401, + 590783699, + 299981013, + 889112214, + 622831227, + 647886225, + 945713028, + 556087155, + 201629127, + 703991759, + 49674453, + 950573617, + 920036148, + 934861798, + 559181277, + 176690109, + 56644415, + 723936341, + 40711908, + 842650839, + 437335441, + 312761762, + 45733749, + 702891371, + 592721051, + 779314059, + 755279408, + 707351199, + 995477445, + 35627566, + 275777431, + 651906209, + 707325827, + 314246581, + 366587832, + 436452577, + 385943554, + 244764218, + 196307856, + 749134716, + 448204136, + 672500824, + 875285195, + 988257381, + 501556942, + 425235210, + 251132430, + 212561451, + 363780744, + 779626108, + 474867596, + 438935631, + 671036210, + 642217212, + 808293878, + 651218474, + 595273753, + 471795150, + 991634381, + 623073862, + 714222408, + 712361641, + 104696774, + 138284603, + 64215301, + 584356429, + 767079497, + 538805848, + 756678304, + 631660685, + 751535754, + 277929961, + 196101126, + 540771616, + 921335378, + 575394998, + 626149682, + 29831438, + 528530805, + 688473265, + 65373099, + 393867352, + 719021064, + 933636066, + 278215282, + 793601014, + 207154299, + 994201093, + 687435040, + 714420099, + 61542852, + 134559643, + 336167506, + 712632555, + 808916300, + 84174198, + 367113856, + 90690961, + 906283671, + 545347122, + 290794013, + 81473713, + 824921536, + 585082274, + 762958943, + 819865035, + 97716948, + 882138458, + 177039546, + 302292373, + 876255621, + 13656249, + 686378188, + 776733755, + 646303364, + 265037697, + 418882722, + 934621415, + 59455839, + 770993104, + 690374845, + 620860486, + 306800565, + 102638956, + 249114117, + 1361679, + 655571951, + 363732675, + 771313247, + 587541758, + 472950018, + 352561537, + 438972128, + 815825057, + 659185329, + 231460909, + 778161189, + 338383234, + 331073880, + 243888299, + 845474066, + 692722367, + 684926257, + 107259986, + 726046672, + 297000078, + 525324147, + 588737211, + 367206117, + 930221753, + 682655152, + 930229397, + 404293378, + 318364357, + 166218879, + 668737992, + 560275055, + 71067837, + 259370899, + 836904130, + 258163394, + 977687649, + 206948815, + 144271242, + 125593593, + 681725171, + 12730137, + 618231856, + 8053600, + 871570189, + 98121064, + 797963164, + 988867746, + 875466438, + 435963767, + 915037950, + 240452333, + 597690992, + 51257336, + 201397400, + 444915041, + 768969298, + 984183653, + 51104147, + 393013678, + 902940549, + 674031514, + 599027441, + 750508791, + 363746870, + 925920449, + 247735641, + 426063428, + 898000847, + 829983881, + 562285827, + 783447218, + 64299320, + 288735473, + 461458924, + 883758583, + 617924646, + 695380609, + 426529013, + 780856479, + 540668202, + 304055968, + 433442878, + 712210496, + 560521401, + 820321122, + 481086660, + 201463147, + 373752564, + 884526811, + 626075310, + 19089338, + 948867750, + 426303328, + 230835011, + 763132673, + 692611124, + 785798525, + 705531397, + 529357762, + 564879972, + 638215764, + 151733868, + 510779198, + 315740785, + 924116968, + 587219043, + 79446640, + 213890462, + 231617374, + 964891684, + 889791689, + 668640466, + 88550267, + 47048711, + 443436133, + 62733678, + 684990526, + 289513450, + 724123189, + 433652105, + 226738259, + 831821741, + 647409553, + 998982203, + 873852795, + 242194410, + 688438769, + 869360118, + 484237129, + 155625306, + 405586887, + 207615877, + 498835533, + 898959378, + 578215941, + 230344009, + 637230669, + 746545734, + 857648034, + 112222274, + 272179815, + 547745844, + 883604447, + 621742824, + 54555314, + 455834807, + 186728529, + 136949635, + 509063068, + 58899286, + 111694648, + 486509872, + 280536314, + 888338957, + 564037031, + 194273036, + 770959681, + 767353351, + 580785982, + 289136155, + 351758724, + 319853571, + 892756894, + 23988993, + 867831183, + 953150149, + 22164904, + 264858929, + 203518089, + 590008073, + 335875412, + 282954212, + 108700567, + 211439667, + 794484573, + 576085612, + 144725404, + 519497181, + 504422927, + 591893887, + 3425973, + 57504124, + 358897482, + 903470466, + 708298948, + 143835130, + 282858492, + 194083521, + 959758225, + 960257393, + 679072579, + 631313489, + 999537349, + 543878193, + 101215271, + 331641824, + 148813252, + 504390411, + 593966374, + 130352330, + 752807454, + 647101776, + 820029754, + 596217715, + 983282518, + 227345236, + 371080203, + 39045450, + 577253641, + 867539365, + 551223588, + 744180110, + 887942973, + 778989696, + 658344192, + 671216812, + 101931662, + 980573371, + 864688771, + 332148935, + 493406879, + 912643998, + 110067830, + 471796640, + 841582894, + 886229398, + 574154832, + 197682510, + 212953097, + 763492600, + 766751726, + 840345676, + 720958612, + 643531644, + 637509544, + 529331794, + 899771987, + 840641903, + 153724109, + 78385266, + 839140131, + 610645360, + 164629148, + 642749208, + 4421027, + 69807590, + 23360852, + 7020035, + 877177343, + 108416780, + 143386496, + 758121575, + 881384844, + 808508244, + 275046481, + 422103057, + 917292140, + 567288480, + 267152205, + 786655659, + 186847654, + 665848783, + 120604507, + 704446652, + 909240930, + 766275756, + 923307169, + 710809031, + 502746171, + 977398420, + 417918142, + 248303999, + 371910201, + 732799234, + 168416168, + 875418307, + 582348645, + 361637032, + 545559979, + 401642261, + 534123380, + 263497778, + 521433608, + 224845182, + 340703130, + 907360572, + 96185174, + 559034378, + 584161819, + 634989208, + 977895406, + 163334175, + 32301740, + 166986686, + 766896875, + 277741173, + 561001873, + 943679277, + 200736151, + 264145803, + 747836643, + 792980288, + 546009057, + 499732409, + 40715069, + 50695203, + 565799502, + 828652882, + 506868534, + 233381541, + 384550692, + 993152294, + 795961362, + 337284145, + 666587260, + 289816126, + 865918503, + 184638132, + 576476971, + 855766564, + 588908155, + 396128143, + 502396401, + 827906009, + 904161006, + 382384696, + 861715844, + 132742897, + 28024347, + 514334491, + 614845196, + 181999113, + 212267557, + 208005134, + 217249677, + 962224102, + 772558263, + 455268895, + 579124267, + 148065825, + 77777428, + 765597927, + 919213579, + 473532652, + 703363566, + 745429475, + 725888791, + 130863808, + 76317777, + 8437889, + 686004386, + 337404769, + 126267359, + 358003748, + 400393510, + 213467185, + 256601769, + 841775526, + 26665688, + 398269704, + 120445415, + 871095602, + 313473180, + 735577060, + 814897881, + 575936677, + 901658947, + 666598941, + 855209966, + 938541398, + 641652983, + 558279227, + 68416213, + 669858067, + 774856151, + 559025074, + 386415435, + 238206531, + 51581719, + 979897606, + 970094486, + 349945294, + 127827951, + 682965401, + 332498847, + 875467006, + 485962539, + 290592472, + 73213353, + 30420750, + 30994305, + 84277410, + 245847874, + 350635120, + 216732562, + 425032605, + 910795465, + 528276986, + 23436768, + 465001414, + 490505886, + 237810766, + 479041335, + 838368902, + 102583395, + 323441246, + 891864073, + 683806601, + 136608862, + 187436937, + 382450689, + 94924978, + 362251654, + 969652987, + 401558242, + 148807841, + 381861825, + 684119775, + 168347410, + 862425263, + 394537128, + 129602549, + 197847870, + 978137206, + 83817114, + 453898620, + 955855594, + 905276256, + 913200900, + 589482767, + 213136797, + 126106883, + 564645837, + 994350457, + 512970598, + 237933079, + 401004099, + 682008451, + 769178203, + 337849359, + 921681489, + 417898096, + 323839044, + 623823174, + 85723008, + 634068222, + 153318662, + 136744616, + 534625271, + 923798641, + 342620643, + 569799860, + 135289623, + 281933255, + 138921049, + 984712248, + 904251677, + 468017258, + 104435268, + 54467199, + 596535401, + 855806457, + 948255271, + 453634040, + 767376716, + 864304711, + 20895929, + 249203434, + 825573596, + 554395363, + 42363227, + 742590674, + 359287752, + 301161333, + 812112098, + 456346329, + 267269692, + 782975027, + 593850297, + 774286012, + 223156356, + 219999678, + 636023742, + 954353006, + 264700885, + 74592620, + 9306340, + 978875130, + 607013509, + 572794344, + 737590354, + 840018898, + 345948514, + 789047865, + 590810027, + 522150694, + 751470921, + 514333725, + 282410251, + 209692242, + 145746425, + 21696467, + 366057517, + 616715532, + 10417841, + 914078277, + 895144716, + 276778205, + 610426832, + 211457085, + 810541046, + 204825452, + 268969612, + 492814793, + 481710984, + 486257420, + 293018120, + 635094922, + 850147771, + 616242522, + 199004439, + 606207999, + 987778471, + 102343084, + 288918600, + 705064550, + 617382795, + 645185193, + 644183054, + 279972916, + 319226118, + 560948983, + 942375225, + 147172918, + 172981200, + 839474244, + 893903042, + 72761109, + 982514472, + 416665095, + 743892418, + 206139727, + 804809438, + 263497802, + 343237104, + 179378397, + 486746157, + 839942908, + 275217159, + 532092094, + 353897692, + 848255469, + 385506512, + 301839227, + 640979296, + 446511670, + 459279365, + 868955420, + 815026528, + 993110298, + 667834189, + 125797590, + 973267361, + 591835244, + 144406088, + 639364945, + 494750170, + 222999574, + 923995566, + 286716235, + 662902511, + 269082009, + 69968867, + 364116727, + 702367426, + 669263622, + 598757742, + 176660374, + 115892541, + 527588488, + 266123971, + 691785196, + 509634063, + 951518663, + 170071456, + 975194410, + 50622651, + 411512883, + 59670512, + 367652545, + 460068608, + 217584506, + 736213512, + 548359003, + 826829117, + 411004938, + 614944882, + 913024192, + 284329730, + 595368049, + 429886751, + 729973594, + 32152604, + 796303530, + 924245042, + 126752684, + 7576568, + 618616671, + 427149452, + 944720644, + 869613289, + 993652463, + 756624274, + 335458295, + 917416480, + 22087514, + 639889384, + 191755521, + 407910528, + 657353823, + 913130230, + 114044139, + 750872955, + 330146788, + 645420827, + 460095164, + 867425183, + 536744238, + 905903550, + 53026344, + 678730915, + 345580173, + 752823115, + 948346113, + 858452647, + 768253890, + 975913750, + 806033642, + 517887012, + 253572862, + 733835084, + 479393634, + 856753266, + 86549889, + 145988337, + 124512547, + 869625834, + 625218842, + 184703371, + 868299878, + 12127038, + 980280681, + 142925750, + 198201609, + 702181022, + 887150684, + 900888333, + 687973213, + 107868854, + 423695358, + 162376663, + 128647083, + 893492704, + 127624858, + 2237705, + 534380460, + 624884813, + 283406942, + 256226786, + 907060801, + 418055396, + 399633442, + 784165780, + 749779977, + 418559083, + 299348072, + 107750855, + 265471494, + 379201738, + 249284609, + 637562724, + 88886506, + 502024313, + 943292346, + 651542483, + 373803631, + 932440516, + 652257982, + 268479754, + 958516031, + 447813301, + 753396471, + 821791096, + 686529212, + 776584730, + 30838080, + 252875776, + 114630461, + 993470059, + 104045743, + 245573819, + 621700203, + 100000597, + 35405656, + 463482677, + 754876259, + 738876608, + 99301486, + 426620328, + 196980577, + 298423183, + 484982255, + 840507404, + 390064205, + 7516910, + 810682321, + 279064637, + 220520230, + 452273319, + 76657611, + 885431741, + 990023977, + 645344195, + 633702472, + 336463253, + 441053010, + 467175097, + 880764478, + 778467388, + 510579257, + 381848780, + 651388414, + 360255611, + 524323964, + 420676763, + 261321206, + 147830082, + 464845052, + 382651053, + 599404904, + 528131057, + 997545268, + 107825578, + 946379193, + 721486320, + 95698601, + 545426131, + 703343450, + 501727882, + 948923279, + 40889905, + 454114101, + 423876743, + 907342258, + 855496298, + 131051661, + 224213928, + 298280693, + 271473571, + 787717550, + 238303505, + 771113048, + 558740694, + 886495008, + 876193924, + 730651202, + 328057486, + 2570045, + 230239227, + 472616878, + 903704852, + 316239340, + 549306609, + 825012922, + 179050315, + 379029791, + 226700157, + 688619762, + 682127999, + 435172760, + 295337115, + 299740176, + 33091827, + 231368819, + 737662927, + 176981076, + 518578681, + 629760355, + 383403231, + 921001854, + 122745255, + 350841562, + 783406485, + 65044239, + 229063536, + 116669357, + 474162451, + 993863307, + 10591769, + 228725271, + 252229427, + 811243155, + 248023718, + 43476370, + 366293819, + 224912789, + 496739875, + 119836100, + 716808823, + 86750966, + 591768774, + 750654567, + 827798010, + 594618620, + 139543045, + 285111750, + 993944687, + 871777310, + 529263520, + 2491444, + 350737731, + 410145280, + 366086615, + 331584697, + 255829950, + 563047200, + 281712479, + 99878733, + 788877707, + 499602114, + 394042971, + 314369216, + 495280652, + 611555499, + 41598963, + 639588275, + 683531562, + 914633713, + 939063768, + 883301847, + 270171361, + 742300925, + 828725969, + 675676351, + 896288257, + 599029718, + 92310751, + 190625661, + 741571778, + 536075373, + 350286997, + 438083707, + 751720509, + 176981295, + 838155610, + 101136691, + 676811360, + 557080919, + 233661205, + 267771228, + 66159654, + 960114060, + 408258012, + 344602266, + 405975422, + 853679131, + 505189221, + 595828048, + 602373072, + 865814659, + 824318709, + 993512594, + 198841049, + 588764895, + 242390758, + 917728097, + 191728159, + 228072236, + 818047093, + 911125829, + 707988218, + 855232458, + 257103194, + 409433506, + 737016235, + 657751438, + 158388726, + 565286151, + 336872084, + 578728743, + 363890951, + 196555643, + 213470895, + 129687054, + 376524078, + 192754732, + 309027010, + 245996320, + 942849248, + 663685761, + 958781227, + 891860935, + 230654850, + 681472496, + 290676036, + 183914244, + 515324247, + 782387978, + 133752198, + 251748198, + 575626797, + 4744706, + 981225537, + 492109551, + 472034976, + 276080935, + 798196651, + 184202960, + 734028736, + 165849428, + 668204662, + 406669073, + 958889704, + 447856431, + 687151444, + 301833304, + 22293577, + 416462780, + 611246981, + 484354792, + 380016147, + 734627360, + 912126177, + 608825541, + 799283595, + 202746384, + 679174304, + 75122989, + 727078983, + 530207873, + 853087953, + 733467992, + 580437748, + 241683407, + 24436740, + 195380892, + 64726197, + 959669596, + 203532967, + 372751273, + 190414363, + 371421388, + 819483556, + 949681580, + 644798924, + 489058664, + 195157903, + 621337400, + 22943410, + 623248722, + 335274653, + 531735764, + 843565416, + 458375156, + 214713216, + 660247216, + 990050864, + 547012690, + 495265582, + 415733524, + 172230384, + 381253795, + 913916854, + 25046539, + 564656670, + 339507523, + 666849790, + 932093525, + 580500555, + 398583249, + 507285244, + 40213039, + 896521978, + 679784543, + 610415588, + 360346220, + 963596874, + 764341214, + 166507994, + 583381648, + 913451685, + 910228806, + 70016110, + 146181806, + 656561171, + 877490613, + 470785767, + 240757135, + 351003919, + 933492685, + 129973319, + 612760171, + 685945234, + 936316955, + 157209987, + 167322790, + 475270432, + 661852068, + 40760522, + 321160632, + 490220187, + 654616977, + 780974074, + 990358749, + 633694834, + 833875007, + 821462137, + 226792602, + 33270772, + 975024790, + 914839843, + 172085404, + 505012305, + 669314513, + 441268005, + 269149629, + 25437352, + 388918471, + 725035515, + 595547836, + 712909482, + 327248841, + 324084760, + 732018024, + 779231850, + 422202330, + 839776314, + 313238497, + 945856090, + 191419340, + 714748912, + 330975748, + 376824936, + 943856371, + 55301267, + 78130381, + 742146555, + 940377222, + 728085421, + 241170881, + 996278675, + 64033377, + 126502693, + 378094133, + 4191570, + 785515694, + 329574009, + 296919026, + 368902403, + 643790918, + 34741782, + 919236768, + 145945153, + 660958952, + 469759148, + 970699236, + 193173827, + 481858074, + 842124486, + 70196283, + 928025070, + 481406598, + 567181290, + 539415305, + 100992833, + 428202222, + 541855117, + 763076202, + 15918991, + 605057282, + 99973347, + 508169594, + 91993775, + 59313774, + 810641134, + 93397806, + 663675399, + 695801249, + 501086788, + 874329454, + 552686942, + 392797584, + 43819161, + 712866330, + 64460756, + 931774556, + 23909248, + 246079665, + 666648074, + 886365491, + 287020519, + 595845193, + 208120248, + 746526051, + 727757584, + 425410708, + 128954719, + 469320168, + 958471650, + 201012359, + 820967521, + 729957117, + 142035133, + 312001085, + 348573255, + 780642124, + 699136244, + 477438, + 91016521, + 533043217, + 861272074, + 429765267, + 140984885, + 846583794, + 29263049, + 672757588, + 677799486, + 348995735, + 365953335, + 992684125, + 205460549, + 672660935, + 869693663, + 48706690, + 807798182, + 713409265, + 220670137, + 963434275, + 165584667, + 179727103, + 876165411, + 631444513, + 217173822, + 174068266, + 812025033, + 966664255, + 646825441, + 502779315, + 630642929, + 323480221, + 163263983, + 227741391, + 810848055, + 995202920, + 446789761, + 455292839, + 554944695, + 573330805, + 272458145, + 278413775, + 403991316, + 229026251, + 578854845, + 261859311, + 168782187, + 367565029, + 239488473, + 772902537, + 946032907, + 881297287, + 532867217, + 979536, + 495996350, + 170441496, + 369662252, + 683323261, + 605505351, + 846048365, + 681988554, + 201363734, + 553837201, + 374503957, + 497047332, + 555162585, + 447118438, + 93983070, + 742345346, + 416909861, + 13186265, + 655924110, + 559490987, + 847530705, + 986558911, + 477360381, + 877531297, + 998011222, + 101997728, + 674850970, + 648571724, + 259556387, + 662460750, + 86215258, + 267201454, + 659290731, + 196065039, + 713635003, + 576493323, + 56255900, + 722184793, + 539578902, + 712457532, + 325252535, + 727052093, + 545660196, + 348011169, + 684527121, + 365305796, + 491247205, + 504244792, + 748991041, + 865933157, + 928869790, + 38824884, + 545969702, + 238119302, + 308651504, + 586957397, + 27003841, + 354121134, + 284977856, + 690125034, + 551936449, + 196959648, + 856472947, + 705930283, + 832274196, + 516247611, + 137851558, + 109749826, + 564029660, + 536657965, + 623263170, + 132926658, + 958615932, + 77223619, + 790122672, + 462791798, + 995851766, + 809082654, + 391876570, + 399296975, + 73170126, + 564239025, + 236032980, + 31996854, + 504862092, + 653309606, + 402967218, + 208314652, + 564014667, + 381441131, + 919722024, + 45277253, + 406524165, + 126547565, + 679260126, + 183900673, + 588836463, + 192900873, + 465866748, + 429975321, + 834400891, + 2709735, + 46576728, + 227645947, + 420641123, + 578687345, + 508734750, + 890573014, + 994353411, + 791276017, + 841177987, + 973663552, + 731386841, + 678696775, + 279550220, + 117518211, + 65991158, + 777610701, + 52182721, + 908898233, + 939443823, + 97165342, + 836858550, + 984967036, + 70138757, + 154158881, + 367194647, + 670377646, + 742957068, + 711806840, + 378483531, + 138259937, + 249400102, + 916979392, + 284658703, + 150219237, + 178124802, + 308605545, + 558079398, + 775294834, + 471978839, + 717383227, + 690660851, + 328198071, + 65588488, + 174063478, + 617930904, + 297507530, + 748311724, + 340268090, + 982678211, + 974493045, + 670825499, + 742975792, + 267949660, + 728312619, + 285184117, + 955587905, + 613859533, + 392613559, + 690436128, + 206482246, + 2620614, + 266996771, + 439780760, + 814225429, + 236102582, + 563020650, + 583993674, + 417117914, + 539876842, + 287465989, + 312956006, + 191898225, + 682347642, + 186348032, + 738100573, + 74250351, + 310962675, + 278173500, + 26277619, + 562593629, + 98906068, + 18524546, + 461440557, + 808930329, + 652659940, + 446502945, + 977922529, + 626190905, + 307175651, + 410927850, + 638141659, + 546777600, + 568938130, + 869950638, + 984583110, + 862123711, + 366962939, + 323418150, + 891823892, + 886174797, + 72681806, + 754973795, + 857640166, + 977371435, + 666589443, + 982351207, + 611142023, + 430424743, + 898117185, + 109834790, + 505344709, + 665584980, + 142915231, + 437938791, + 351735644, + 359568051, + 423774480, + 6993992, + 573096669, + 119084755, + 321679538, + 578402076, + 859483582, + 734392267, + 553355427, + 729622436, + 698468334, + 702995230, + 249375369, + 629324803, + 975130992, + 700810792, + 763506525, + 366135890, + 283501465, + 966224214, + 786096919, + 706201229, + 142799901, + 130011144, + 785029656, + 365861145, + 191448398, + 114212590, + 56662468, + 732047856, + 879855790, + 991391731, + 446775589, + 728363071, + 672806603, + 311922830, + 116797573, + 945798072, + 209626938, + 5768610, + 195712452, + 674470566, + 287479903, + 448418710, + 689257371, + 286618423, + 349748598, + 204060902, + 800285695, + 116176169, + 745279582, + 429016182, + 577449011, + 788569180, + 350074207, + 356785891, + 788567881, + 785667052, + 43542200, + 480488796, + 249669200, + 105136237, + 544600816, + 868520580, + 395588414, + 854839876, + 756539574, + 228655548, + 513009979, + 213197658, + 505255834, + 416624999, + 139920008, + 809601338, + 299175112, + 79071848, + 242175475, + 98353076, + 559975524, + 286423143, + 261250023, + 732019233, + 498978537, + 61547648, + 907239492, + 985299253, + 823428249, + 888020510, + 840354925, + 152693989, + 731183523, + 151394998, + 588927556, + 396673454, + 952504161, + 266679048, + 716063050, + 980866322, + 285869290, + 898620073, + 783572920, + 742510239, + 979277325, + 117279074, + 996939203, + 14083716, + 88780471, + 508373183, + 86949684, + 700714485, + 352219233, + 676018866, + 362905907, + 693996701, + 352509690, + 873693881, + 453350373, + 662600963, + 201915154, + 750259490, + 980342462, + 373432001, + 755221048, + 494867575, + 294395799, + 459872352, + 110887653, + 325028922, + 930857073, + 359537548, + 248488991, + 122788110, + 897009353, + 434597644, + 953240577, + 58968576, + 60702228, + 851818058, + 539430818, + 878625361, + 930836394, + 907127584, + 256582084, + 239390735, + 713797461, + 494598528, + 389254308, + 512434124, + 953770806, + 463683548, + 727290855, + 543846469, + 241562910, + 919747212, + 107438618, + 571297294, + 608177854, + 968187599, + 449800925, + 665613826, + 589680529, + 298816103, + 941600680, + 415710728, + 844773557, + 959409068, + 944495499, + 751928206, + 662509163, + 521705053, + 995173179, + 681505678, + 130104027, + 307499614, + 378472544, + 32294738, + 809755369, + 663014837, + 81569241, + 710249283, + 366459629, + 499871569, + 438015740, + 470492309, + 225828636, + 379015622, + 632696719, + 980342250, + 739693138, + 708635066, + 671824092, + 114670939, + 622178303, + 895705227, + 458574527, + 330284024, + 976947197, + 282346755, + 576486025, + 733893824, + 479488271, + 750441276, + 354967133, + 479628779, + 634488686, + 350267066, + 458881962, + 871220161, + 241438735, + 201711325, + 553259521, + 444702021, + 88967059, + 998693553, + 984089323, + 2196082, + 543723663, + 309150785, + 2353438, + 629405631, + 436342925, + 172369131, + 880907432, + 86310585, + 415632227, + 602139888, + 576047200, + 717026936, + 410764830, + 48591011, + 865639470, + 996484319, + 593871761, + 398468117, + 50323804, + 730540055, + 234745603, + 366990334, + 853383922, + 974742216, + 973715461, + 731593811, + 595674323, + 841240410, + 682458803, + 5757778, + 810488681, + 872549731, + 942352187, + 830163596, + 399478896, + 903417258, + 514208885, + 208262328, + 835452910, + 609724829, + 494419568, + 520695658, + 523006950, + 421557985, + 3408411, + 997528956, + 550194624, + 550538727, + 535818264, + 345670751, + 599021791, + 776593644, + 815173283, + 247520310, + 259026791, + 311633640, + 330543047, + 661493524, + 550886001, + 411938486, + 766744312, + 521584070, + 191096199, + 38646782, + 640211525, + 425406649, + 475772529, + 670564288, + 907022792, + 586948435, + 764530211, + 611912551, + 550173782, + 517979912, + 249187556, + 832355672, + 75616042, + 210491707, + 813634873, + 547394444, + 443297623, + 171233823, + 228661702, + 322483718, + 700021223, + 733981902, + 651338624, + 809493543, + 495330623, + 895103305, + 792339232, + 306252492, + 203743619, + 223791521, + 116693115, + 688511101, + 253276052, + 900489452, + 913468638, + 556535228, + 38654450, + 920169815, + 21788919, + 123487147, + 124179193, + 222191687, + 145123324, + 610956837, + 667242639, + 697111122, + 563760344, + 434402659, + 824722482, + 680509999, + 264924943, + 502913921, + 919064881, + 709463169, + 256884751, + 211518584, + 989183593, + 521385454, + 707715061, + 670749785, + 91872963, + 143322797, + 927703853, + 899507049, + 827790030, + 83792448, + 972104162, + 695747902, + 198523373, + 924219287, + 632098427, + 40757580, + 204757488, + 394419839, + 455592909, + 235333867, + 745367605, + 313432794, + 523351936, + 571028926, + 851971622, + 614496757, + 129787308, + 745112371, + 421223810, + 27446543, + 21095463, + 439276451, + 734947102, + 764914472, + 64747070, + 854136989, + 690339956, + 225951037, + 369199024, + 448873668, + 267879444, + 447071520, + 821744179, + 165275340, + 813415062, + 772804483, + 5227586, + 530169227, + 854714613, + 743463581, + 975874812, + 422871006, + 854502880, + 414854057, + 182753053, + 657563610, + 490162999, + 238122548, + 397811025, + 793960043, + 122235356, + 623073368, + 983167676, + 528984150, + 633538105, + 854175143, + 454729868, + 264868915, + 4375797, + 993821853, + 453058829, + 9436851, + 389506336, + 469846589, + 796141975, + 542821368, + 104647249, + 930981232, + 414137352, + 474144351, + 391860917, + 503239395, + 272997793, + 193338040, + 990700505, + 375891901, + 868378629, + 714315000, + 89377794, + 449022140, + 39438317, + 171932157, + 86116760, + 57378687, + 674872945, + 615276647, + 88337957, + 434060219, + 265525110, + 203337212, + 877188509, + 95593111, + 852900655, + 717776318, + 506758561, + 96292486, + 513925164, + 79954572, + 17435480, + 302790908, + 420676157, + 727025575, + 718572357, + 814078464, + 193864572, + 796589471, + 829232287, + 949336040, + 763191626, + 994169608, + 269131065, + 825452840, + 259068533, + 125204722, + 841639260, + 798291037, + 214532581, + 306755060, + 972946714, + 103592665, + 617498881, + 205565624, + 726131269, + 611716978, + 9908003, + 671979434, + 940255467, + 831022437, + 491103300, + 405668323, + 614557748, + 535259389, + 267088197, + 135997389, + 294807808, + 911556171, + 716437957, + 723287091, + 813763811, + 783871301, + 985929547, + 86431282, + 407667013, + 309598471, + 535655018, + 998696279, + 677516788, + 86412633, + 718242642, + 648956616, + 830734788, + 305468674, + 785943318, + 431737830, + 929726756, + 370758765, + 948519211, + 257523447, + 897742480, + 735698453, + 54401372, + 230735906, + 795043980, + 635849568, + 885424138, + 621817590, + 658591835, + 730264365, + 376335618, + 997452980, + 235811547, + 744482495, + 224747405, + 935756955, + 982542740, + 699860373, + 416695423, + 752691684, + 720636791, + 17025305, + 373866957, + 174439826, + 746076422, + 807181786, + 695731204, + 896872757, + 778938406, + 961789521, + 69140209, + 585670038, + 475503463, + 380564224, + 585295563, + 614444859, + 492106303, + 465035896, + 445904533, + 835684364, + 117700841, + 985113074, + 97442240, + 326847007, + 725039148, + 514482924, + 943910638, + 642582534, + 364774420, + 473476901, + 771824487, + 993216107, + 733743530, + 531470278, + 571683060, + 476051, + 707964069, + 708029636, + 317577679, + 468158315, + 473957215, + 767715952, + 444101521, + 87537510, + 464962888, + 416350081, + 235671748, + 695121555, + 625112370, + 824347886, + 469820091, + 497764470, + 637031443, + 629072540, + 992920548, + 547909690, + 10782108, + 794575803, + 231287, + 256962173, + 917544625, + 54879488, + 701285661, + 29350406, + 433187397, + 763210288, + 510149798, + 498583653, + 141155812, + 720012362, + 739937423, + 773864652, + 573681993, + 210500820, + 995209655, + 43412268, + 208884427, + 917162266, + 263232678, + 488850566, + 427391588, + 650055032, + 370164676, + 380899450, + 240592764, + 910240925, + 709752833, + 621792125, + 778855536, + 234031021, + 240508731, + 323940816, + 414796438, + 65843698, + 227114791, + 583088891, + 199075308, + 685015930, + 686712085, + 536039962, + 48701637, + 361605621, + 558437926, + 130365224, + 121762225, + 774769624, + 410311880, + 721359198, + 261792111, + 172261091, + 887795727, + 80687394, + 680032297, + 869433027, + 517003940, + 25433039, + 963733788, + 339403024, + 536227301, + 132537853, + 56084814, + 680471027, + 163928038, + 780987820, + 230101565, + 265831799, + 126938640, + 918554597, + 375873685, + 336811134, + 964811460, + 302908245, + 560589002, + 604055045, + 898696763, + 200036107, + 56136011, + 470734372, + 865668659, + 564738820, + 504802020, + 77751325, + 370244401, + 185802644, + 925137150, + 496273174, + 334204340, + 589534977, + 522639216, + 948428701, + 768640705, + 666697517, + 287705712, + 802736422, + 479554858, + 845000004, + 799824148, + 890125962, + 56613276, + 626874928, + 660690575, + 769462754, + 70099616, + 762432946, + 304883234, + 608418823, + 965250305, + 447949549, + 762309667, + 695239023, + 33920728, + 694568134, + 575588407, + 776043836, + 473272175, + 289382335, + 744372935, + 977407648, + 5331039, + 288598506, + 389860326, + 144157730, + 502046253, + 826924135, + 209185612, + 409961868, + 247668444, + 416836405, + 143239890, + 377223100, + 976238221, + 512440799, + 269317657, + 931905727, + 881213675, + 257822543, + 390620826, + 37711447, + 727061263, + 814988182, + 752456680, + 952513839, + 781134859, + 679988678, + 544801982, + 467679725, + 10450910, + 161368981, + 161158948, + 997728427, + 80250860, + 52242250, + 707170604, + 873451463, + 227040098, + 165113561, + 39650424, + 624013375, + 505376612, + 800939454, + 331512414, + 415083187, + 435892221, + 804319571, + 140688147, + 97851790, + 674174857, + 204441952, + 596721432, + 121626708, + 845335523, + 266043300, + 322505140, + 797688936, + 530171527, + 347931309, + 701738989, + 871396679, + 729473107, + 818164527, + 414670751, + 245014425, + 975370383, + 974501964, + 27477043, + 500690703, + 474535691, + 850193906, + 496262457, + 695075273, + 416267934, + 827383869, + 803876016, + 119570852, + 861510533, + 453154996, + 690513402, + 953424922, + 593636770, + 721168964, + 750297687, + 228794986, + 149752265, + 43368340, + 825023060, + 323961513, + 432105601, + 479123449, + 198116309, + 218402681, + 128520172, + 884216952, + 621058075, + 973740470, + 354837723, + 683472262, + 99151343, + 804090810, + 457629216, + 663545677, + 882057950, + 969721694, + 320843575, + 585411388, + 786724462, + 351629138, + 897168731, + 493539220, + 816396830, + 103295747, + 651285225, + 91089876, + 795680752, + 459272204, + 892204209, + 877252659, + 826507874, + 419362286, + 188968017, + 118784883, + 176516028, + 678011040, + 276677040, + 870539807, + 482840040, + 990270004, + 752816067, + 802160979, + 135178570, + 333802329, + 449781736, + 290019685, + 171126469, + 938728077, + 124670465, + 418932373, + 556390092, + 541543377, + 8204290, + 223599774, + 749873119, + 905516793, + 35719400, + 158934990, + 484930073, + 697058658, + 772778437, + 164968256, + 658267690, + 729910246, + 228304482, + 835349781, + 400597692, + 281351965, + 807018919, + 738122301, + 643477517, + 634529477, + 763925981, + 212157821, + 898541806, + 781120768, + 564006034, + 873469006, + 858566692, + 510375335, + 225462503, + 647503365, + 35402883, + 24716157, + 680657624, + 240330024, + 746317037, + 914891666, + 384424261, + 460986408, + 500316853, + 946878195, + 382249517, + 705306822, + 250920338, + 927193777, + 209290844, + 78825192, + 891114726, + 742395451, + 983933898, + 760333521, + 978898144, + 287615950, + 162341312, + 724944653, + 811962180, + 931416852, + 663989360, + 388392021, + 700748987, + 923049972, + 353508653, + 947744661, + 865717590, + 995726424, + 705994787, + 509640325, + 742014720, + 176979020, + 702663052, + 646953828, + 934421844, + 858924257, + 921542225, + 704181499, + 860927023, + 442211208, + 269365935, + 762683156, + 31810584, + 989884308, + 11100100, + 605472453, + 89037218, + 571118577, + 963277245, + 769304150, + 686507649, + 152749043, + 56866519, + 223556433, + 749093058, + 560899966, + 11469584, + 165586246, + 729358103, + 262808700, + 707720124, + 106236621, + 648427514, + 162073959, + 398656321, + 259956930, + 158002630, + 322287211, + 236280751, + 490439653, + 371129259, + 101251953, + 628228031, + 978238871, + 555096369, + 35837634, + 317839285, + 856870051, + 327334294, + 334741849, + 720563367, + 470025981, + 758508281, + 593834474, + 647484995, + 254164452, + 62289410, + 541131473, + 339658139, + 162205893, + 523684040, + 850064213, + 132754624, + 749875625, + 84505460, + 260283201, + 460532559, + 179508996, + 442449202, + 860219236, + 784045965, + 803484296, + 931247692, + 241393057, + 228822586, + 372812392, + 677573934, + 468106155, + 974760044, + 365486435, + 786905715, + 852874283, + 258717844, + 117209115, + 671115180, + 975236371, + 201914411, + 811892992, + 887989427, + 560536195, + 56039962, + 858805963, + 392098950, + 12820577, + 915265706, + 856412493, + 26965197, + 97510532, + 718010526, + 396295804, + 504211786, + 538616097, + 38105185, + 612499276, + 520633855, + 214077687, + 9549865, + 654818889, + 616420571, + 583736805, + 322637902, + 440773846, + 747055814, + 146913124, + 431700325, + 717588773, + 412369170, + 351808795, + 944312579, + 141700143, + 36206143, + 40472152, + 716840329, + 746189417, + 74412932, + 721290858, + 824415292, + 328225784, + 91337665, + 704698418, + 530651811, + 292563258, + 686798684, + 714684157, + 774426984, + 859920942, + 835869662, + 688376201, + 23730017, + 835816460, + 247182458, + 536582845, + 53525241, + 553389320, + 264286144, + 259372043, + 443679490, + 27099704, + 316148883, + 981606058, + 793607503, + 422380384, + 257512435, + 776076271, + 123272474, + 392219676, + 588043140, + 125617753, + 172793746, + 378931022, + 385903737, + 821114277, + 923575058, + 962633010, + 571105531, + 121802942, + 416470703, + 971290981, + 305133641, + 236714664, + 483860846, + 893548416, + 457615483, + 647175519, + 741826036, + 333408490, + 280296932, + 234693360, + 334112301, + 24058091, + 865089820, + 218078694, + 904882290, + 967803084, + 329427895, + 650178572, + 608130245, + 841351828, + 782686816, + 429529570, + 534416567, + 229829893, + 794699769, + 176007767, + 152576974, + 825809032, + 97072637, + 961308925, + 833564124, + 352161839, + 851000396, + 552850104, + 448229614, + 479359327, + 97869155, + 620435476, + 518812255, + 585018719, + 119815360, + 627554108, + 85544648, + 954492534, + 815423469, + 541362537, + 149077733, + 974414840, + 249697949, + 776500294, + 592068410, + 546467561, + 910678923, + 753114873, + 337384681, + 731691615, + 755430577, + 60690757, + 230691542, + 772050228, + 676972563, + 505856260, + 785090134, + 181942040, + 82114443, + 663862534, + 299001901, + 992882665, + 54586659, + 178140826, + 709185631, + 988097299, + 273811265, + 126547952, + 645095416, + 24668415, + 207488075, + 817013119, + 83955567, + 263287218, + 569295803, + 716058081, + 534860222, + 69746086, + 421657260, + 503792168, + 89373621, + 148016033, + 900784371, + 614098056, + 705630821, + 113402784, + 385385582, + 579876791, + 250559528, + 161076647, + 910223228, + 719115213, + 3919912, + 997424720, + 814281943, + 62710172, + 96991882, + 863151307, + 497860425, + 334262922, + 881961586, + 693769531, + 616336488, + 287810865, + 780816409, + 228687481, + 812351011, + 992767858, + 807838730, + 538695310, + 793823524, + 338554729, + 216011338, + 652134904, + 471871311, + 414372940, + 622861889, + 923345300, + 501147749, + 940725919, + 537779057, + 212887114, + 412778768, + 756632793, + 175994347, + 649241450, + 780043885, + 887596139, + 863796001, + 237716004, + 38729736, + 462553270, + 957174379, + 502131657, + 326399978, + 174833146, + 165250163, + 896591360, + 620847014, + 731167140, + 429383203, + 6787335, + 256521558, + 493243865, + 191780742, + 152927102, + 793312839, + 436331394, + 489086667, + 515950143, + 262555977, + 330107659, + 814827673, + 738767606, + 502845065, + 671801045, + 169122571, + 107257269, + 652604794, + 542689738, + 709234350, + 31902059, + 446858349, + 882187644, + 758856227, + 772819170, + 734889598, + 352117000, + 496855615, + 919114168, + 635745610, + 513982063, + 951068494, + 624401050, + 924124709, + 736724565, + 116198352, + 8332488, + 795508857, + 110681593, + 654328934, + 201785065, + 695604459, + 616048785, + 67309293, + 492005846, + 785029931, + 961327600, + 880453948, + 513586674, + 524850340, + 772719618, + 514304134, + 93026085, + 200738795, + 702622361, + 745261855, + 671323641, + 408651851, + 308470334, + 43979219, + 842235037, + 318080224, + 451865391, + 209312545, + 158791096, + 289770844, + 612463323, + 737518604, + 963911605, + 179105780, + 923686476, + 32804968, + 266835723, + 574449172, + 578719220, + 669052969, + 841177702, + 536816102, + 569140336, + 280721870, + 828802069, + 651948243, + 469051267, + 501200770, + 914200959, + 499615814, + 500254680, + 813066601, + 46774434, + 85687701, + 567740856, + 147795746, + 178589107, + 442805561, + 752460453, + 598246337, + 637988289, + 360578064, + 873971959, + 380680214, + 337490911, + 914041813, + 124690344, + 31987748, + 912253293, + 153978545, + 603214873, + 883576112, + 686155392, + 398786498, + 866539043, + 234140104, + 158538745, + 984207636, + 891362001, + 992947920, + 459551214, + 18315442, + 431355083, + 697413911, + 851371505, + 779779258, + 144272964, + 245183434, + 819653620, + 758000813, + 8921792, + 866219584, + 952274087, + 800409972, + 692062245, + 428884459, + 98506444, + 823004327, + 230347214, + 524100117, + 225218983, + 131984039, + 479320721, + 767142610, + 321085885, + 163599041, + 402528796, + 57492331, + 248095135, + 72923335, + 682272952, + 432444458, + 854554241, + 74444952, + 734974817, + 450068284, + 379433139, + 163123967, + 827611110, + 367964079, + 357201377, + 730764798, + 61801537, + 672644179, + 736305406, + 456024585, + 764904286, + 483153184, + 234934053, + 55818669, + 691244224, + 636023595, + 962617588, + 488942208, + 577079197, + 752689760, + 428671735, + 627315526, + 981128554, + 528622383, + 939197095, + 962129251, + 834950167, + 538748935, + 686574780, + 321203321, + 428026239, + 577921157, + 571898441, + 889898101, + 325204072, + 303447551, + 807368718, + 665985493, + 436436035, + 234379799, + 393222585, + 56202395, + 479425102, + 465236842, + 421644358, + 130492330, + 111741438, + 758988826, + 21315571, + 571856039, + 236706686, + 248150079, + 31110053, + 895924324, + 15764188, + 191577375, + 861082101, + 683042771, + 134340038, + 948227566, + 20070041, + 9751090, + 789604707, + 509596460, + 634263289, + 989780649, + 922525198, + 452878473, + 886821449, + 849966619, + 301619555, + 859364283, + 81167872, + 789332238, + 122641525, + 547930179, + 901693933, + 862514663, + 457758807, + 343780022, + 501579629, + 656727348, + 708259873, + 454792264, + 123941919, + 198761739, + 463539732, + 61983681, + 215649733, + 992242081, + 491443608, + 583710074, + 433190426, + 819370258, + 181269352, + 780378772, + 121911957, + 55707045, + 308461175, + 373949681, + 831542653, + 616426080, + 119072505, + 708550339, + 300325927, + 772155518, + 486710093, + 992192024, + 172094261, + 210685904, + 888242342, + 912377700, + 589493347, + 807902220, + 291103120, + 374943429, + 816015718, + 738907302, + 843651702, + 337936480, + 966765425, + 77449966, + 38983873, + 752442018, + 888825441, + 163485539, + 761682926, + 864920086, + 423662739, + 973124887, + 648445557, + 305449171, + 423491190, + 157489521, + 834061284, + 497657556, + 355434334, + 375943218, + 627538845, + 518334294, + 427105961, + 921611121, + 774863588, + 440215404, + 198660947, + 705472766, + 991861230, + 495514340, + 911370784, + 773452479, + 30191424, + 650422204, + 591787583, + 932817216, + 752841739, + 680641748, + 997847709, + 507743680, + 978075543, + 583909774, + 546363885, + 956094664, + 743517472, + 123244325, + 445458828, + 690256309, + 398168103, + 653818830, + 625034022, + 432688665, + 629434910, + 696146596, + 115074792, + 77551548, + 679971598, + 639625406, + 539134630, + 940604197, + 273690225, + 864986192, + 34213169, + 10457095, + 70578358, + 566059734, + 1371043, + 999924459, + 5149359, + 671211944, + 350827757, + 526981555, + 661164685, + 605352555, + 776646726, + 554713430, + 920517117, + 4906521, + 389271691, + 615750421, + 366786377, + 141618455, + 822206001, + 661808742, + 511941338, + 669785835, + 367003641, + 85958278, + 312401096, + 79456847, + 577784243, + 613327322, + 571598360, + 539245617, + 960722455, + 375430280, + 526408312, + 70926663, + 460373513, + 17925696, + 717382555, + 477232927, + 892271380, + 80898260, + 7318851, + 529647426, + 374684283, + 124261404, + 322409456, + 624210295, + 265112194, + 17146382, + 737495398, + 781617658, + 497099164, + 41268960, + 916259041, + 220143208, + 454129722, + 583960434, + 561385947, + 594668603, + 577005424, + 47836859, + 103519616, + 977909615, + 194013404, + 786803489, + 51032123, + 343266314, + 107857444, + 628022959, + 460303915, + 778864053, + 220582857, + 834620328, + 608525431, + 702543962, + 790895062, + 184063911, + 779908696, + 825508497, + 388401298, + 340240674, + 886364293, + 184414538, + 584374505, + 16562840, + 744239604, + 59187971, + 853465800, + 98842444, + 546640798, + 243645322, + 638989413, + 100120518, + 211196336, + 873741776, + 510663686, + 552600170, + 819056339, + 143639047, + 210606399, + 114265437, + 367977345, + 701933372, + 9522319, + 286237086, + 89504494, + 813490538, + 127146057, + 135468562, + 291227955, + 495861144, + 964522583, + 136885682, + 205099244, + 263602054, + 715539655, + 69622335, + 121823849, + 430507719, + 69750973, + 175474521, + 653881505, + 118595907, + 80160610, + 727531010, + 173830772, + 512515109, + 735194785, + 201962104, + 488610872, + 455110659, + 46959178, + 539070510, + 162636644, + 67734521, + 893342326, + 218426520, + 700368295, + 11423297, + 819425929, + 338535617, + 241642543, + 55922363, + 799102932, + 357174287, + 182491442, + 121331269, + 307710024, + 679195960, + 316841401, + 861991314, + 476629763, + 490834143, + 159201457, + 425007053, + 531336771, + 267235910, + 827865007, + 42752184, + 15841527, + 649279735, + 235272327, + 31014410, + 596249541, + 117664923, + 158797155, + 399089854, + 333712019, + 173814491, + 400756514, + 800173176, + 671319888, + 998672800, + 350271213, + 904957288, + 22618984, + 850890160, + 601224760, + 992234271, + 637856302, + 34617487, + 429948363, + 49538064, + 430639569, + 352137963, + 158285205, + 696943699, + 287518211, + 332097205, + 652647943, + 841772354, + 145923343, + 145886989, + 188091813, + 275869909, + 61966782, + 428675836, + 161392015, + 454150189, + 536921162, + 257531030, + 733915211, + 694608416, + 583367028, + 609359144, + 349448495, + 307482580, + 952694825, + 980353597, + 857822453, + 533018112, + 407279129, + 325449323, + 479536861, + 318096862, + 892282319, + 594688713, + 157034880, + 575211375, + 878864761, + 196323952, + 529637887, + 334025888, + 366292751, + 572275469, + 975971274, + 342202851, + 992690959, + 905946592, + 638617638, + 408257906, + 893433470, + 431337672, + 121443311, + 204691644, + 149215049, + 892866387, + 499657902, + 492373627, + 727366084, + 817413606, + 299830101, + 179108792, + 793021020, + 79484774, + 990787475, + 806778126, + 699771690, + 932517360, + 396801986, + 450369033, + 705688179, + 601764213, + 543650000, + 6424246, + 101576956, + 943742352, + 469876599, + 789602165, + 193861204, + 867914166, + 855513141, + 892781606, + 508623681, + 94734653, + 240839222, + 291304372, + 782860714, + 535793730, + 316197460, + 437266536, + 818734523, + 513125053, + 341667977, + 865885326, + 459199730, + 800469722, + 73959588, + 663225978, + 938116519, + 676396111, + 771293940, + 134110004, + 604210211, + 814611864, + 809471780, + 227147526, + 919603684, + 718877548, + 600688498, + 323051501, + 99437760, + 64384379, + 2816967, + 818797618, + 610590379, + 994648835, + 573954750, + 747757867, + 489374354, + 906949624, + 497465284, + 110560861, + 743002268, + 736660912, + 864764678, + 239030637, + 179921161, + 597075825, + 648263922, + 240484009, + 403859859, + 323376783, + 111561393, + 880769415, + 754737241, + 541693235, + 729100522, + 440848994, + 430876097, + 397697044, + 986305880, + 445501633, + 745929129, + 961822196, + 463370806, + 372917087, + 929787278, + 281491080, + 260370802, + 723087218, + 203568982, + 809192786, + 127668940, + 274859962, + 256763793, + 907418526, + 948574569, + 41107521, + 275421123, + 545480185, + 115078834, + 811728405, + 749430864, + 145513085, + 516184423, + 569736173, + 616298152, + 237442955, + 535206569, + 84012508, + 226442680, + 581787161, + 223916070, + 714119636, + 858533616, + 271167651, + 4042270, + 94481030, + 420969509, + 860656802, + 664057935, + 659812836, + 635967870, + 287614655, + 518672419, + 860701661, + 622898608, + 182056539, + 606693818, + 67809863, + 476866592, + 641506810, + 661823557, + 359067162, + 146840437, + 191874073, + 827990527, + 830271114, + 378743967, + 31191003, + 914176962, + 315775261, + 104161347, + 925789335, + 224846085, + 16306171, + 697520623, + 235541913, + 755939652, + 575119707, + 184347245, + 477066085, + 539678930, + 263733613, + 214865263, + 441131133, + 452288280, + 370114451, + 916699212, + 234272754, + 500356074, + 969628307, + 218075558, + 98545440, + 643801483, + 607531433, + 884942838, + 741633511, + 986510265, + 130375579, + 687291472, + 631810103, + 897452246, + 935825379, + 406107678, + 693379832, + 889192140, + 713870969, + 47764934, + 14203958, + 264162905, + 113416437, + 614265384, + 801578131, + 689265440, + 512136511, + 165983016, + 867516514, + 758347801, + 165973614, + 851022298, + 934841098, + 971138766, + 748262675, + 581017148, + 515614911, + 964208870, + 75596826, + 421017618, + 877419449, + 554331043, + 6041091, + 154592380, + 506155288, + 307883153, + 356449276, + 6535630, + 257739329, + 907268228, + 14466877, + 270547852, + 536213606, + 723009376, + 840425344, + 488682197, + 742223034, + 800330551, + 174356028, + 154378213, + 622316126, + 979186215, + 648850528, + 94387444, + 686133908, + 625519268, + 762398627, + 102140889, + 568059492, + 620235278, + 491928965, + 561673559, + 360605999, + 671102238, + 418722227, + 356698361, + 103779373, + 306452827, + 549138165, + 744392295, + 209157177, + 128661454, + 871804462, + 188569664, + 660533177, + 892220710, + 596810020, + 148592411, + 3754514, + 316034770, + 20560543, + 947406831, + 493843234, + 193634135, + 909235904, + 739551763, + 585249718, + 570121942, + 974319094, + 390024808, + 440707295, + 832643610, + 589779072, + 351021387, + 285065444, + 622379634, + 348513382, + 239138979, + 854608786, + 610483556, + 461886344, + 223078013, + 667060284, + 472047469, + 369143238, + 552604544, + 953227416, + 753771196, + 906112849, + 860856274, + 945392706, + 33882596, + 83862744, + 183911492, + 223443659, + 266067034, + 116358593, + 854540787, + 736104931, + 654803954, + 962437282, + 682620320, + 927570489, + 974199461, + 284615995, + 422644873, + 264036756, + 527010436, + 437700425, + 591045885, + 374999916, + 271141299, + 985862755, + 711574926, + 235092695, + 473603161, + 246073051, + 318396464, + 109556329, + 252181170, + 702194073, + 167019192, + 827598551, + 214212779, + 310715990, + 952925589, + 4726638, + 777323627, + 548721054, + 43937952, + 77555877, + 23197176, + 702509849, + 935704911, + 41291480, + 831748971, + 782607941, + 363771820, + 42493086, + 625937011, + 757646463, + 762987903, + 760712817, + 250714150, + 807968145, + 115306189, + 654191463, + 959235605, + 835903789, + 167983154, + 226372221, + 776566089, + 354926907, + 754460873, + 861983428, + 77609207, + 498433013, + 707799890, + 594776649, + 196556894, + 987641522, + 497048638, + 210299664, + 93306080, + 387825204, + 774785188, + 13418717, + 530053934, + 390953369, + 803341086, + 652325163, + 573077275, + 858592443, + 563662292, + 714630726, + 358240954, + 535799588, + 304481571, + 8732306, + 868825292, + 24184804, + 412359413, + 934807688, + 49450658, + 607917679, + 462915075, + 254876942, + 250798488, + 321722147, + 186292808, + 541309452, + 35174061, + 580684064, + 137540335, + 325902144, + 226778756, + 16721881, + 520790500, + 366570474, + 165305178, + 612482620, + 708345890, + 616876972, + 486274357, + 547241994, + 908001151, + 331138316, + 13070885, + 834276235, + 223425171, + 302712516, + 453124853, + 425023397, + 53772428, + 687347885, + 759698297, + 368039765, + 490631626, + 864069432, + 129160314, + 435820388, + 680426001, + 622918434, + 990189451, + 514735834, + 113433424, + 776776197, + 554903177, + 606811700, + 867504111, + 578030693, + 92234641, + 876331154, + 495618046, + 836099579, + 315390596, + 814136318, + 790979410, + 367734233, + 994349320, + 155931726, + 903915483, + 915789794, + 205187950, + 408251066, + 726357912, + 986553652, + 515194521, + 328982210, + 493238257, + 966842950, + 421201798, + 343360246, + 260868800, + 861467931, + 312550200, + 566115317, + 834519283, + 982818460, + 109175736, + 931484992, + 432447058, + 787785257, + 523430882, + 754624921, + 784910829, + 603112137, + 60091164, + 24409092, + 703374552, + 387038681, + 308924099, + 995827343, + 591667389, + 624067836, + 224403288, + 461352397, + 780121764, + 571664199, + 522426972, + 718727579, + 992251904, + 927417935, + 966468934, + 35630164, + 258145432, + 687593880, + 304267413, + 476720395, + 153727916, + 614385079, + 443500497, + 195328563, + 329908235, + 575507858, + 87306548, + 69191111, + 545785910, + 719427743, + 332659180, + 104143172, + 574185106, + 432521543, + 589289201, + 346983013, + 784975650, + 977306953, + 443647197, + 736488970, + 974196347, + 621910393, + 130505118, + 457386687, + 687845733, + 960403839, + 77941373, + 539698579, + 323557067, + 607955778, + 249405900, + 847661386, + 326846794, + 675203421, + 277577077, + 105821950, + 940639460, + 185238887, + 66943731, + 468697164, + 333982789, + 357991571, + 279395721, + 965577713, + 863569882, + 668170092, + 146540123, + 775683723, + 261651818, + 20611132, + 253479262, + 792044647, + 398394586, + 637607110, + 410155958, + 890945808, + 93808620, + 669595703, + 919245819, + 821748594, + 869992923, + 225316481, + 588237284, + 302330692, + 946466054, + 908506773, + 961196343, + 697288631, + 462521674, + 609673323, + 220027142, + 429813288, + 840038150, + 29758874, + 114003843, + 294463447, + 332158085, + 241487655, + 399090795, + 641749459, + 877165514, + 322692024, + 126384978, + 473276434, + 502013960, + 830279367, + 38957221, + 477371946, + 20295403, + 933906472, + 334353108, + 515106110, + 923794122, + 804926653, + 461569158, + 665335539, + 420492641, + 350938721, + 220783853, + 188580028, + 625009536, + 749331299, + 993307251, + 321867145, + 69596272, + 609159675, + 394950955, + 858715040, + 504439218, + 369839699, + 941284073, + 726653957, + 414147939, + 655042450, + 917439904, + 34384972, + 558078996, + 902018355, + 775816731, + 64726439, + 500430057, + 402929644, + 875959932, + 449006196, + 240688443, + 175432462, + 509477193, + 871742037, + 229789411, + 382693190, + 960082944, + 725361449, + 319776621, + 120980614, + 287310194, + 5067101, + 171372585, + 435177443, + 489600474, + 297969797, + 135540691, + 14030012, + 405565478, + 93787511, + 99780297, + 872278009, + 402995159, + 152532224, + 145155208, + 526740197, + 167435871, + 482467931, + 742641150, + 721448707, + 677934740, + 88238242, + 73143776, + 244303828, + 794853395, + 96393106, + 539154497, + 109305054, + 634077769, + 871305437, + 576705921, + 506713104, + 777787263, + 430431946, + 493222240, + 645192245, + 127246042, + 926254644, + 453695481, + 21307457, + 887416858, + 398429320, + 538076177, + 635521041, + 521331907, + 433259290, + 831083088, + 951922033, + 554251550, + 48252836, + 373431669, + 524832557, + 428767902, + 95774561, + 367580032, + 372141051, + 37625386, + 944666805, + 32695231, + 278479846, + 100155777, + 916771938, + 760775035, + 323942667, + 588544030, + 361959722, + 110859781, + 868923159, + 546364710, + 496702882, + 294948761, + 219547227, + 462897700, + 175068209, + 365621555, + 539113378, + 468459284, + 125453188, + 264188696, + 875622787, + 767019705, + 166798383, + 373436371, + 272752673, + 250191721, + 630106440, + 549612360, + 756162688, + 514658878, + 479573915, + 5396491, + 89869587, + 799385383, + 874436356, + 785617950, + 399329906, + 442469116, + 166056671, + 240417861, + 353322898, + 111041478, + 685219987, + 472330412, + 691618513, + 546732490, + 195002352, + 33917765, + 519800116, + 680476339, + 934639627, + 400741201, + 831479667, + 761752166, + 493658492, + 674279058, + 483905566, + 133217587, + 288218124, + 623703729, + 731708684, + 103934799, + 122835630, + 65492038, + 897964432, + 642209468, + 338021613, + 386119729, + 366173475, + 104816886, + 142536619, + 266892579, + 449323027, + 505757993, + 743452223, + 91876355, + 979839634, + 600491861, + 318009491, + 56098054, + 82113135, + 332451759, + 117304766, + 861934996, + 700827182, + 733462169, + 690500226, + 294953173, + 670975862, + 943911981, + 884071098, + 851114369, + 693583070, + 134849294, + 52834516, + 502528424, + 16360854, + 57312144, + 492787651, + 243163572, + 968956246, + 263249298, + 248855234, + 740573479, + 705584315, + 418701836, + 641220684, + 60461181, + 464652279, + 816095862, + 647340092, + 578741145, + 207699998, + 177825020, + 758106985, + 699679517, + 62625373, + 786768791, + 294833528, + 537288508, + 997789880, + 592450873, + 912328263, + 386647671, + 68243136, + 113755562, + 213360128, + 988906007, + 476622382, + 284100383, + 884695656, + 107202600, + 334329163, + 712710789, + 5721133, + 561593436, + 542378301, + 449464653, + 186715120, + 647975842, + 542461762, + 278922648, + 538688717, + 848479961, + 681036788, + 398527666, + 591633135, + 687239787, + 324013411, + 447559622, + 855331527, + 381498049, + 383602799, + 675833258, + 681136174, + 739723370, + 126453525, + 84846501, + 555206920, + 890066272, + 784115846, + 758977820, + 929370292, + 678550210, + 585240687, + 548826291, + 887365968, + 850275275, + 553474023, + 878077692, + 496616841, + 21238655, + 685909557, + 836543949, + 888665160, + 788623913, + 468007734, + 342733508, + 31839138, + 954653660, + 938327871, + 330977903, + 649448930, + 206160253, + 519662079, + 44836845, + 908116069, + 295036984, + 560588283, + 953074082, + 990879843, + 804721271, + 853215736, + 80983060, + 971628893, + 996197528, + 930362863, + 326848267, + 342691997, + 624403777, + 806106773, + 390445569, + 712400125, + 962320978, + 710081694, + 980746037, + 837538283, + 528510344, + 980782284, + 907294789, + 725597885, + 674971011, + 345653260, + 958234955, + 669303985, + 838529764, + 596782581, + 637851742, + 579222382, + 439099775, + 743834949, + 390334071, + 101077838, + 177166227, + 541393130, + 786904625, + 851826866, + 429447119, + 850713780, + 508157162, + 320578422, + 109901875, + 121508860, + 354241569, + 856305224, + 954337533, + 284230692, + 213023583, + 13179175, + 311374933, + 112559601, + 803340142, + 314138992, + 399646312, + 344724011, + 932810846, + 604835087, + 960375293, + 229521824, + 695971102, + 90007805, + 47305658, + 125455039, + 469820649, + 991107498, + 786327773, + 765024873, + 475462827, + 407792961, + 860316947, + 892324559, + 393411616, + 824630196, + 31754524, + 656395595, + 766521622, + 416245172, + 297815562, + 324104412, + 281980812, + 407213547, + 779421052, + 14283795, + 594967306, + 645937215, + 800921720, + 490273964, + 531235250, + 79269340, + 378372802, + 947328257, + 428594596, + 41132142, + 713447636, + 775581231, + 7928531, + 223609212, + 104565727, + 403197673, + 528458650, + 511211356, + 121526139, + 786964662, + 890127319, + 194819022, + 332307486, + 623576925, + 216995427, + 653528663, + 794988033, + 47796438, + 644488788, + 490965901, + 301907169, + 776095606, + 305954029, + 459495336, + 433332325, + 699388655, + 181828170, + 797752440, + 208403307, + 453495778, + 655596114, + 164276342, + 544366313, + 34982778, + 177016299, + 49738626, + 192627426, + 273035515, + 769296134, + 461200357, + 496733328, + 63810806, + 850344536, + 467748672, + 164181941, + 324013949, + 369345595, + 611258717, + 246810704, + 628325856, + 971178433, + 725444070, + 372962967, + 754029337, + 207618736, + 80290824, + 519918822, + 405186236, + 850275737, + 541787476, + 106022865, + 288955645, + 737855520, + 219207265, + 816541954, + 371287592, + 998066125, + 324951154, + 151192805, + 977002220, + 805857770, + 221614870, + 995695397, + 400086055, + 300066691, + 698539252, + 779524256, + 512988952, + 798717810, + 762613069, + 842891710, + 645029919, + 826025466, + 141027697, + 450887581, + 348952704, + 161520122, + 910761108, + 384655067, + 9420354, + 349632911, + 349304030, + 916601635, + 480919587, + 582784459, + 741909039, + 354493410, + 175058175, + 320390776, + 373497865, + 546197423, + 617142083, + 808273815, + 180994996, + 8607604, + 349248080, + 738530212, + 8155403, + 649892079, + 696924653, + 384673198, + 252228719, + 119650547, + 109827105, + 323071468, + 640185016, + 879407044, + 820978459, + 604488077, + 449179491, + 972979430, + 627258775, + 390395294, + 116606663, + 261660798, + 231383849, + 364728628, + 410477331, + 18694060, + 469158758, + 946564039, + 741511748, + 191759771, + 592132798, + 529871187, + 164061384, + 595663587, + 432501385, + 575950847, + 16305304, + 167027998, + 604878417, + 120081633, + 733708714, + 607373174, + 800769350, + 587895190, + 141518143, + 409001187, + 39620132, + 991333991, + 215957156, + 428457343, + 456293819, + 896607335, + 851784297, + 545943881, + 812884020, + 130780961, + 182574199, + 170497183, + 105536007, + 490660773, + 712034024, + 240427542, + 993782686, + 243365278, + 537210527, + 683211691, + 368189501, + 448592766, + 151916025, + 996552569, + 710817492, + 835806004, + 625652629, + 855011719, + 298255246, + 306279850, + 946292279, + 468253373, + 452914965, + 638427085, + 675512764, + 834150145, + 446340277, + 925291426, + 595461975, + 697639447, + 243238220, + 623296120, + 888819540, + 945419667, + 233825000, + 750388347, + 36862168, + 18705703, + 53627754, + 653471025, + 970493302, + 122915108, + 998501534, + 934896189, + 673893159, + 61538250, + 841442279, + 503277093, + 731403634, + 914712325, + 823297264, + 731744789, + 121655016, + 598579264, + 812431245, + 595480469, + 964929748, + 874349349, + 788996874, + 113169064, + 234051904, + 494185742, + 499583008, + 910830193, + 169861842, + 5580149, + 542634567, + 73355300, + 370109623, + 161667857, + 68285663, + 771278141, + 65758020, + 614440259, + 104233687, + 670706155, + 674476265, + 871217407, + 650566005, + 955841537, + 717239892, + 172644282, + 692204954, + 350890100, + 112323735, + 702656494, + 384378591, + 93901271, + 527387036, + 210734100, + 128906566, + 778410300, + 694938569, + 388708274, + 553249134, + 577042493, + 339771264, + 854016710, + 350210250, + 441777881, + 108476529, + 297734309, + 869309541, + 970386946, + 206359008, + 684112537, + 179400915, + 477168339, + 122556433, + 576136939, + 456937702, + 87195148, + 777967308, + 852461237, + 870223392, + 377632432, + 255062797, + 322801523, + 306365542, + 657382807, + 917471015, + 738576708, + 882572837, + 778323380, + 392919571, + 4388405, + 923808061, + 688564499, + 266372053, + 328668167, + 495597572, + 445151189, + 930197370, + 398529015, + 343353937, + 989923413, + 182707922, + 119648236, + 757250487, + 555378946, + 400097672, + 142584392, + 306476650, + 771964069, + 103017667, + 697641658, + 961296288, + 108616446, + 931164431, + 545453496, + 642124737, + 446329493, + 174333618, + 264739823, + 574656196, + 254748603, + 453478944, + 551543864, + 539915878, + 740184805, + 836144113, + 727003768, + 778186195, + 408435120, + 512557828, + 50209942, + 150507308, + 269058513, + 413828428, + 443753163, + 491666766, + 235799441, + 470330580, + 398251677, + 792578237, + 504553404, + 326517186, + 145779368, + 138220083, + 750001028, + 848772409, + 584350291, + 455949556, + 529041581, + 888966409, + 510123966, + 939342165, + 300599501, + 533907386, + 434199938, + 77017833, + 183335924, + 46423154, + 579885465, + 726604079, + 88176808, + 726393388, + 522092237, + 851051056, + 633240540, + 959157815, + 764321349, + 816796895, + 718123778, + 103623410, + 923590079, + 986726207, + 865364515, + 176209932, + 870874282, + 285234349, + 786888050, + 631011037, + 794644959, + 127616434, + 628753812, + 326689512, + 391861019, + 266476688, + 425284194, + 310320054, + 365276690, + 832512778, + 272579385, + 666318960, + 692666811, + 417266775, + 714949503, + 395220865, + 582555783, + 371326036, + 412999889, + 12797336, + 614400782, + 782565981, + 837405760, + 718983537, + 970964658, + 688429869, + 596863787, + 209320805, + 648082550, + 309217138, + 374760852, + 229106283, + 457991863, + 252842399, + 806012760, + 609119203, + 216298470, + 117326167, + 450993599, + 589734678, + 822872900, + 603827614, + 295000840, + 267457644, + 190590182, + 358248677, + 85704281, + 550388924, + 313708868, + 706699969, + 891771042, + 297010434, + 211756128, + 602778525, + 649917558, + 100318827, + 997444254, + 73885570, + 109560645, + 72349071, + 391291230, + 954877646, + 812101063, + 988284561, + 816904768, + 239095414, + 687170473, + 161790494, + 153751771, + 95112830, + 989789643, + 55152966, + 267610723, + 664053343, + 77620996, + 447750226, + 623593943, + 580211656, + 219793525, + 937588256, + 937376737, + 80401895, + 123836140, + 458259436, + 889825956, + 323007010, + 39593098, + 558903168, + 218190453, + 544930652, + 909269793, + 990848500, + 999266367, + 444632886, + 978049396, + 633306405, + 888852887, + 609236272, + 73797137, + 243081456, + 139790594, + 825610108, + 357078403, + 937525163, + 110544625, + 1963515, + 344980894, + 801485139, + 265605803, + 633753879, + 967238789, + 930542141, + 665477404, + 668398232, + 150068730, + 63377946, + 757423735, + 92057005, + 640235696, + 978633583, + 16695681, + 633302134, + 377622426, + 56607636, + 215789155, + 631052861, + 619564315, + 571896996, + 569130252, + 519673776, + 708899967, + 730019005, + 518960074, + 680742433, + 787322058, + 210913412, + 701705279, + 188049229, + 520697688, + 526314212, + 345205093, + 478655146, + 890806169, + 570460223, + 73732670, + 763763848, + 425104806, + 132198947, + 394860222, + 897050431, + 123922343, + 644358393, + 282836464, + 6787337, + 149469662, + 288157611, + 118742586, + 895523326, + 34977774, + 701292443, + 567767556, + 60809304, + 449231530, + 966132706, + 622079453, + 671633668, + 790568837, + 608639355, + 505790516, + 328831094, + 515708723, + 501809651, + 777746043, + 573140283, + 832706707, + 64315717, + 410263714, + 231849239, + 667012714, + 366190683, + 532685052, + 217306240, + 451093032, + 938794055, + 834915243, + 629130721, + 192229270, + 19929555, + 611932761, + 706702796, + 581182902, + 416846235, + 298848664, + 314667347, + 704365626, + 375887438, + 257613225, + 700747963, + 12907591, + 271556007, + 456061951, + 188071763, + 662467260, + 853761008, + 21843681, + 570050616, + 785116776, + 418234884, + 813457569, + 704434802, + 942938963, + 404210160, + 266064799, + 552484806, + 310604547, + 959314780, + 887747792, + 597129453, + 608542879, + 457621515, + 301503355, + 851191628, + 646714519, + 199778537, + 49232998, + 821109930, + 547093999, + 130731574, + 496002124, + 867301642, + 170140023, + 36894773, + 935433871, + 131823793, + 800415731, + 394271547, + 119337137, + 169287775, + 638659211, + 344233677, + 621556947, + 373101626, + 697029387, + 706272561, + 214209751, + 553211241, + 816283082, + 838430850, + 323618701, + 378294627, + 878204186, + 136213631, + 756437975, + 10030867, + 662809938, + 486446805, + 258163671, + 145660030, + 334079405, + 164350938, + 351198672, + 578580203, + 911586789, + 819815658, + 802811963, + 780417361, + 688954473, + 254419384, + 945543358, + 466432832, + 476059592, + 401117953, + 952034549, + 438454987, + 206448094, + 536771538, + 391289044, + 421928588, + 97386295, + 269183665, + 276872938, + 57017053, + 122346162, + 499536838, + 108035871, + 850691505, + 459594115, + 190659327, + 934867266, + 895605262, + 747882028, + 976134913, + 489432750, + 19979672, + 186178046, + 864128916, + 479308713, + 997551816, + 490314502, + 394117105, + 521735837, + 80001909, + 158055864, + 715184076, + 445594579, + 255252085, + 617574862, + 266367410, + 540237680, + 365395191, + 868096395, + 725755899, + 786798450, + 607218427, + 727313888, + 795270437, + 43666355, + 738817640, + 843193789, + 3855641, + 875892560, + 906031468, + 423852505, + 561444116, + 885366144, + 637375313, + 784022131, + 431465216, + 840470185, + 757507789, + 505946801, + 603180842, + 797577035, + 75736629, + 600863269, + 263655567, + 748263372, + 372964916, + 363942807, + 67237114, + 157615862, + 940315123, + 886165032, + 945844114, + 969227530, + 435471593, + 565365316, + 415981165, + 816953806, + 482194506, + 237729488, + 103621657, + 273332309, + 991352818, + 369088776, + 507982743, + 517232309, + 169547753, + 109605442, + 607311939, + 662451241, + 981624868, + 351881175, + 570450143, + 879322885, + 191434429, + 41541665, + 621571000, + 444948997, + 303444187, + 881385623, + 224451741, + 556549635, + 834025802, + 620406248, + 805263951, + 889882299, + 200091216, + 386306780, + 596403745, + 673086586, + 248921133, + 760478472, + 941717602, + 969905424, + 615057398, + 291244774, + 376249779, + 587751007, + 228696885, + 136867342, + 1585020, + 462165029, + 372238702, + 48379001, + 140350376, + 902763860, + 415357215, + 609850353, + 623699740, + 804637234, + 955043288, + 168325549, + 157152206, + 934241452, + 424143497, + 604222635, + 685584701, + 97652302, + 213740193, + 997385625, + 931562678, + 464315734, + 234546914, + 31193975, + 459725342, + 834772464, + 768639306, + 325470264, + 287033120, + 767025591, + 466040188, + 621371773, + 734334004, + 259378947, + 249288583, + 496074217, + 118646336, + 241353019, + 759094260, + 871391512, + 68302390, + 329651204, + 715048383, + 801169861, + 759932159, + 987372295, + 753305789, + 515375778, + 860241269, + 292411788, + 843895448, + 678979362, + 767055237, + 639906860, + 500935637, + 799703001, + 793513813, + 827504534, + 487843353, + 140388097, + 665734430, + 489336705, + 247569322, + 45538993, + 61877557, + 31209665, + 746507266, + 648919838, + 270820409, + 709657910, + 78021551, + 600462872, + 996765182, + 213074643, + 78316925, + 509669621, + 285845025, + 305080935, + 21105642, + 282327959, + 126164052, + 146090653, + 418032050, + 404825977, + 924641878, + 462149007, + 952896477, + 196483221, + 856816748, + 283929902, + 1516215, + 674465379, + 311447677, + 545918238, + 34773313, + 421180306, + 568513514, + 259678749, + 882055911, + 351143747, + 154342584, + 521080914, + 52670044, + 389106466, + 104110431, + 501093110, + 749856674, + 176447224, + 369773443, + 168451090, + 633178350, + 657069199, + 213086681, + 305442444, + 828951056, + 552444071, + 379643992, + 543306794, + 871251049, + 934945290, + 401425740, + 791802643, + 543247214, + 907518613, + 881824060, + 66811262, + 834977315, + 102783753, + 293844698, + 48882882, + 878870515, + 886834372, + 16477939, + 741586698, + 731546034, + 31053940, + 583923068, + 173528319, + 900111517, + 44833533, + 650103216, + 690231897, + 659561851, + 675456659, + 637629373, + 58601887, + 866058599, + 941643688, + 531285078, + 628962717, + 665869410, + 271637258, + 77262218, + 447477542, + 296754121, + 31550603, + 93052729, + 968483213, + 354851620, + 98289420, + 929821755, + 723659852, + 952833474, + 682126513, + 176779339, + 264779266, + 109090700, + 68604748, + 995713649, + 750063767, + 6248766, + 630549776, + 976832508, + 771049713, + 59370986, + 684290810, + 263777676, + 847595307, + 218493119, + 884584336, + 876355911, + 487038164, + 10519257, + 272114834, + 859300593, + 729451159, + 148990950, + 340308953, + 878343722, + 362321660, + 15059284, + 979363865, + 904662327, + 544974960, + 447745154, + 920693160, + 541210131, + 400601320, + 947399495, + 303521471, + 867283266, + 537761309, + 886498098, + 66792780, + 817536556, + 357545509, + 569380644, + 697237890, + 6430988, + 726195602, + 948731695, + 578383086, + 448964404, + 98252737, + 883691946, + 515916223, + 764895435, + 397406468, + 315395718, + 792610327, + 53032961, + 890807851, + 248489597, + 582619860, + 149957178, + 504937111, + 533316750, + 709508456, + 517327713, + 311307769, + 806344616, + 511001473, + 33253134, + 213444512, + 443025517, + 886349916, + 3950242, + 275960024, + 542527597, + 296354828, + 881225963, + 196368562, + 994278887, + 505745253, + 668371597, + 32740815, + 910120240, + 186290884, + 27191639, + 398305913, + 306124041, + 712985909, + 251568607, + 943345462, + 188481326, + 737560598, + 427206500, + 558073562, + 656899218, + 968967012, + 507732437, + 806275434, + 907450519, + 963054362, + 421579730, + 216167780, + 984693485, + 227136138, + 846411434, + 464971132, + 909847238, + 349908631, + 418368278, + 985353437, + 835430961, + 235573632, + 972461489, + 61586685, + 830050754, + 356602647, + 185628894, + 528850919, + 801088969, + 898692300, + 840238087, + 872767767, + 358849837, + 10312725, + 87705803, + 16089524, + 405446320, + 237098642, + 240918170, + 962640655, + 838462734, + 298490697, + 960252475, + 74576729, + 30621779, + 318731416, + 215157369, + 73601511, + 818063216, + 609369428, + 79521655, + 89005372, + 992739253, + 549315747, + 16691200, + 673049680, + 463881099, + 784352655, + 374398365, + 982973189, + 881992318, + 537144841, + 521739144, + 788863986, + 887661285, + 866066490, + 719232945, + 636585032, + 906706451, + 700091507, + 21311601, + 686995241, + 346593395, + 229245196, + 978839166, + 911116260, + 403404294, + 15539342, + 370228000, + 434493547, + 415425628, + 65937773, + 667662900, + 128306652, + 279558422, + 843440107, + 875833241, + 105488455, + 933282610, + 987976883, + 530271319, + 896763797, + 577942472, + 512128389, + 964029019, + 547308606, + 157098941, + 829497681, + 142226110, + 841368434, + 654418970, + 169406108, + 869105036, + 23985130, + 445108720, + 366027253, + 587320508, + 206040925, + 951616554, + 770610544, + 244753842, + 172909125, + 278071193, + 568208468, + 720977332, + 317730835, + 269146394, + 831352372, + 322918854, + 387151563, + 828918342, + 759689322, + 361458956, + 717057024, + 675876134, + 726301876, + 818813598, + 842922121, + 331708599, + 934834555, + 973154188, + 688558813, + 961336196, + 793607995, + 690294627, + 774947818, + 190782745, + 966661827, + 676495895, + 668374574, + 508463246, + 741743470, + 37772701, + 854095076, + 278101234, + 35339627, + 67723500, + 838619827, + 65644075, + 209177043, + 603335759, + 601935848, + 317279949, + 318176380, + 978809745, + 643181058, + 806484683, + 688005310, + 957155977, + 682916128, + 247569630, + 33528840, + 247562713, + 133155632, + 680747333, + 81800994, + 993224915, + 866792557, + 732424531, + 879834088, + 418701096, + 366030885, + 154012993, + 791290422, + 888853771, + 680110921, + 671259756, + 488559650, + 995799391, + 583285225, + 178632521, + 725781975, + 923195949, + 77191037, + 483317466, + 64710983, + 671280045, + 526390859, + 801651965, + 861253148, + 447437216, + 112453288, + 970539449, + 11091560, + 125487665, + 78865477, + 382693410, + 414317539, + 544070053, + 835539742, + 745717664, + 367254463, + 217542497, + 450494614, + 423151351, + 260999018, + 738688913, + 468744239, + 506103664, + 303296248, + 248242068, + 286516065, + 792933694, + 343408791, + 758275986, + 593709124, + 441881083, + 652686041, + 527791535, + 86577944, + 932952190, + 35033072, + 266290707, + 926946893, + 911117165, + 386588861, + 758259811, + 768318056, + 352048865, + 5968275, + 389723645, + 857594267, + 309132558, + 316446, + 683406492, + 277510544, + 63254156, + 922629133, + 473259245, + 351091031, + 607419144, + 197091998, + 924010963, + 903178968, + 964246812, + 193542768, + 603736379, + 865010601, + 525899181, + 217875276, + 352694545, + 732324655, + 811195720, + 111172386, + 320368487, + 44388975, + 991572212, + 807778237, + 931124202, + 172193611, + 786015789, + 612905103, + 472889868, + 855712339, + 611821882, + 299348009, + 142031957, + 448301128, + 243836373, + 59460965, + 98667555, + 628307562, + 860322747, + 437546796, + 696162389, + 549448007, + 246607830, + 666004172, + 26184241, + 388719153, + 360658423, + 556154820, + 164584801, + 334182397, + 882561509, + 802404595, + 463072014, + 253600193, + 743281117, + 179126558, + 907932425, + 167076885, + 582863150, + 706432721, + 955652140, + 158838067, + 624284327, + 230599416, + 89120126, + 976403968, + 183357487, + 840879443, + 398669101, + 969060745, + 629586293, + 712723158, + 773835631, + 200745077, + 610618332, + 126167937, + 313096223, + 311371036, + 132363216, + 395947215, + 976039364, + 517093952, + 747561825, + 335329539, + 187195875, + 719486860, + 420967446, + 523437130, + 448794709, + 144463656, + 111356572, + 343933756, + 162543889, + 896792388, + 517355829, + 551500655, + 251865942, + 26412644, + 326631039, + 861402787, + 243627309, + 96273480, + 950959909, + 200462120, + 452893312, + 727004645, + 634833706, + 957701325, + 114825293, + 527842570, + 444165155, + 678268906, + 195646584, + 280726673, + 827205443, + 438062974, + 546572739, + 706737172, + 191322400, + 529210675, + 528466554, + 951537572, + 170064423, + 161349103, + 525321844, + 529986008, + 7652947, + 200443478, + 339948306, + 310513595, + 287611458, + 736335629, + 839687432, + 210543828, + 134541888, + 249728509, + 111573170, + 501776232, + 256295319, + 5714647, + 325361898, + 148670655, + 740372069, + 639072250, + 742036839, + 565794056, + 55932014, + 237340597, + 732238349, + 162578468, + 144190322, + 232753935, + 867280104, + 480679794, + 667361070, + 869063628, + 384058524, + 141364108, + 738825342, + 167002148, + 689089794, + 206430067, + 526807957, + 771132923, + 595034022, + 487731342, + 72226691, + 845526251, + 906857460, + 932708275, + 59366528, + 861626174, + 346949363, + 730878568, + 415923499, + 135894551, + 900083102, + 994877044, + 326528618, + 258121761, + 445363367, + 640968303, + 582160297, + 113201285, + 375124488, + 635276384, + 925402630, + 476072753, + 389270226, + 26572881, + 991240928, + 190935539, + 557853273, + 609853699, + 200278434, + 99042867, + 943180380, + 975629659, + 847302938, + 128625707, + 979002987, + 814040054, + 267518871, + 696724065, + 460852257, + 126768962, + 888949413, + 571979255, + 173147819, + 611649473, + 31798288, + 59899882, + 789193870, + 635849130, + 945537888, + 908060638, + 757367326, + 227655956, + 767195963, + 119151661, + 238486235, + 770062028, + 401344807, + 309416079, + 600186665, + 743244035, + 519946942, + 574727929, + 624048098, + 710449799, + 822957149, + 486091796, + 196741095, + 353506780, + 907549862, + 723350151, + 966583892, + 120740588, + 743932030, + 241336581, + 50342824, + 389205014, + 994730479, + 847349104, + 428932544, + 154858655, + 716769821, + 573248971, + 708494606, + 906947076, + 953507585, + 221099730, + 954658142, + 443042710, + 164050165, + 659286725, + 691040679, + 325082194, + 943211903, + 385369826, + 952858699, + 551740289, + 724210108, + 27061624, + 414749766, + 587778036, + 100009214, + 185771943, + 206035920, + 372861546, + 725238447, + 204229587, + 361259606, + 103494136, + 23806133, + 453866068, + 193534313, + 786382458, + 530642257, + 292047524, + 946890387, + 546425778, + 682588873, + 571704548, + 139435506, + 895885106, + 225611324, + 127179545, + 410991195, + 135399215, + 814343991, + 597717970, + 276063606, + 821677542, + 133210900, + 214494528, + 596024143, + 928344559, + 179684060, + 70886497, + 94572256, + 831417213, + 649683065, + 399445753, + 985552692, + 88587374, + 448501028, + 223819895, + 121696432, + 23009327, + 658919305, + 6607158, + 142402894, + 235884672, + 154286675, + 754349524, + 302291928, + 969551435, + 23560113, + 947175952, + 283029741, + 777078214, + 635343846, + 483485267, + 276738191, + 177516224, + 640880122, + 121343294, + 770515926, + 461861317, + 282148396, + 403719083, + 996808690, + 437152661, + 88317957, + 22719655, + 547329889, + 744999561, + 511727992, + 806264073, + 552305635, + 192357908, + 77072147, + 16811109, + 734673401, + 712355975, + 691145232, + 822284735, + 407191543, + 1614887, + 237366654, + 614130200, + 798763753, + 792557016, + 979025990, + 684224371, + 194779995, + 870454018, + 329587682, + 582479787, + 714258452, + 813778860, + 230595316, + 875271994, + 42063687, + 236280793, + 239780357, + 604242007, + 466683549, + 246935943, + 435686306, + 200777038, + 239647977, + 107782825, + 286050988, + 144015799, + 895780408, + 855700180, + 138108923, + 277526364, + 906802374, + 550813685, + 609731705, + 341880839, + 303070081, + 942816550, + 543643317, + 833616433, + 328629205, + 940382561, + 71327138, + 964663201, + 838771009, + 757052437, + 116313449, + 657762439, + 909072087, + 908597543, + 923846504, + 172087493, + 606962879, + 548583532, + 347203674, + 626159904, + 927911118, + 704428002, + 56019661, + 530823845, + 162734156, + 264054496, + 61338104, + 354510280, + 967795820, + 326896904, + 928297193, + 444239521, + 871522327, + 250963888, + 56190194, + 773773770, + 236616722, + 859631687, + 658603907, + 714352154, + 640729474, + 711405419, + 169005491, + 230838885, + 400583000, + 627694817, + 487834623, + 678094106, + 440394278, + 847453522, + 101405343, + 424418635, + 749073271, + 942643312, + 728120382, + 865147324, + 148260194, + 347709795, + 324769842, + 427547775, + 148489024, + 225526710, + 456808423, + 755070835, + 571646501, + 736747299, + 346446018, + 136330148, + 494808691, + 703321835, + 363344933, + 819064608, + 348952600, + 521189260, + 198548808, + 761440327, + 54382935, + 480021444, + 959487218, + 710555407, + 740223112, + 499890133, + 724460651, + 213279865, + 993310494, + 702929217, + 596357138, + 162754343, + 984629393, + 121447832, + 36631443, + 80823078, + 666279692, + 799159504, + 511751136, + 467053976, + 260643449, + 257361400, + 114194615, + 300304658, + 922682177, + 234002608, + 536859246, + 827846495, + 786023110, + 377652523, + 263781853, + 179942014, + 307767573, + 312204919, + 940092730, + 913135921, + 159666212, + 335423659, + 800531266, + 611551333, + 218194946, + 294329759, + 10280475, + 996715858, + 394306742, + 369057206, + 441041395, + 435317494, + 545297782, + 380858217, + 299854297, + 47840683, + 925396647, + 760964535, + 259036072, + 435628122, + 9318359, + 457648051, + 874689320, + 617191308, + 539098945, + 888393297, + 349135585, + 421125754, + 467217872, + 987869568, + 290979109, + 282392721, + 631544683, + 529191460, + 128290110, + 694485407, + 526491198, + 507342555, + 449386791, + 998604853, + 305087180, + 252156890, + 936380785, + 747374308, + 16286458, + 655606511, + 312348998, + 410254269, + 563145592, + 144527816, + 776666853, + 273489555, + 111909669, + 979643862, + 102538113, + 595323710, + 481874376, + 105184111, + 327389075, + 723910250, + 69401519, + 25900893, + 420522198, + 349507597, + 609844755, + 638991118, + 257026421, + 413116143, + 484053020, + 774726046, + 807290132, + 313621325, + 226184044, + 409077828, + 334564716, + 162450951, + 469124519, + 974618176, + 533446805, + 877951999, + 813329676, + 944678778, + 717188644, + 936079494, + 97394031, + 293980044, + 705953199, + 846297003, + 469999655, + 76329064, + 669218608, + 881809867, + 775284846, + 414924683, + 812086975, + 141592855, + 362340612, + 566175027, + 497679073, + 452324785, + 572924373, + 273612755, + 883931904, + 608209549, + 168639237, + 123799553, + 242666274, + 568393394, + 234362870, + 717103554, + 835796977, + 537931616, + 178278294, + 529671837, + 742629097, + 710083942, + 327704428, + 789762468, + 890344619, + 819217235, + 30722847, + 949429838, + 796072579, + 843608836, + 677718923, + 303906499, + 953025991, + 757153128, + 853490416, + 417538854, + 629647652, + 271226916, + 936800415, + 908895746, + 766819711, + 632731541, + 1892620, + 287380753, + 433978167, + 202536764, + 566783211, + 380751231, + 39175573, + 257654298, + 833790375, + 388123765, + 964370966, + 400146820, + 279273369, + 799640862, + 602464399, + 292182576, + 888669439, + 375852742, + 521695857, + 468235429, + 207358058, + 112171963, + 768970206, + 827700564, + 979396619, + 968594233, + 663447214, + 968133272, + 402397608, + 984691863, + 313968004, + 443139898, + 747407456, + 510428994, + 301282446, + 854323064, + 134586183, + 290446180, + 140194651, + 692061244, + 347745650, + 403070835, + 566038621, + 263190911, + 824914155, + 420021323, + 575097465, + 163325818, + 198736710, + 951014786, + 725526977, + 822819846, + 243984494, + 219056257, + 274757169, + 318942226, + 143446995, + 644497608, + 796330834, + 756916743, + 798445574, + 595842731, + 556945124, + 733231325, + 598841267, + 564086656, + 658268190, + 747422276, + 465975796, + 995991824, + 196465974, + 859199777, + 528013341, + 240003311, + 694061827, + 871005392, + 916864394, + 191112993, + 439543955, + 304633878, + 403503700, + 604525481, + 21360106, + 668904968, + 27274988, + 675011627, + 139091523, + 921595939, + 442971159, + 771967693, + 684139434, + 157668910, + 386057295, + 232920242, + 671774393, + 943080816, + 991510625, + 837052663, + 548171570, + 292007619, + 358152472, + 499845915, + 620359834, + 509046409, + 438658700, + 395086605, + 220513161, + 543779273, + 337422880, + 968257579, + 678307449, + 740734863, + 173994243, + 954979636, + 154554925, + 995664028, + 182424907, + 506451559, + 596206282, + 76926290, + 495093028, + 968105799, + 820597058, + 283032771, + 85225655, + 108930197, + 922041280, + 621220546, + 151108127, + 144234332, + 534236490, + 854509687, + 70123582, + 453644994, + 979444090, + 262562680, + 495185864, + 229519022, + 76597089, + 791134248, + 834087650, + 445913080, + 465613009, + 915047715, + 213903210, + 895786509, + 975262075, + 81020612, + 434289057, + 928186179, + 102454553, + 596477775, + 426176342, + 115923022, + 850964463, + 674884101, + 969565704, + 490979214, + 572552029, + 828424226, + 331031216, + 684216921, + 367151547, + 34395541, + 486376772, + 868705685, + 316920679, + 511797680, + 759512501, + 702132200, + 21782046, + 496743429, + 766536116, + 507816075, + 793954695, + 31716303, + 531195812, + 399956284, + 307779266, + 814904431, + 325904664, + 930288013, + 464023681, + 592803438, + 136661761, + 251777647, + 763987122, + 116967067, + 32195446, + 568004645, + 291964493, + 128785421, + 216075226, + 859981678, + 959787065, + 362866162, + 634052227, + 21185688, + 372128741, + 84691095, + 996614217, + 960363211, + 413230263, + 324834293, + 137476891, + 182517397, + 253938684, + 744058636, + 839206499, + 587170376, + 890388033, + 612115615, + 779647051, + 144920552, + 661183386, + 46105477, + 199398523, + 126655110, + 963170718, + 656893858, + 441353425, + 684930139, + 547876360, + 158905, + 698626522, + 346609563, + 27981364, + 574102811, + 441500490, + 552396699, + 252501058, + 953741451, + 221121610, + 866281343, + 203097669, + 865656256, + 599532286, + 679841315, + 952103958, + 275622919, + 599816702, + 297049582, + 621952449, + 229316019, + 839945945, + 972354149, + 914390668, + 564655975, + 236113520, + 187208675, + 978737794, + 225222530, + 513569133, + 838365928, + 881729719, + 970785509, + 368858763, + 819087815, + 929749153, + 483322352, + 517932450, + 233559928, + 263312815, + 22978158, + 355690553, + 778877836, + 936799384, + 890816849, + 140010172, + 888203235, + 736020544, + 870235857, + 351225948, + 728532062, + 283482452, + 964361230, + 372584606, + 538187448, + 752032542, + 687869736, + 802893516, + 812838457, + 13417346, + 316760566, + 109610894, + 72128527, + 4840279, + 396369825, + 667379957, + 207053282, + 697967514, + 457587081, + 907485850, + 499273681, + 445567852, + 129533655, + 27466177, + 280656420, + 588952668, + 374115844, + 161828227, + 268276269, + 105260569, + 737868670, + 644577184, + 858909494, + 31911312, + 668701642, + 841091762, + 17708331, + 433928564, + 665611896, + 174634219, + 23106475, + 465415797, + 229296313, + 292514542, + 85373874, + 810125266, + 845249199, + 246244523, + 817951932, + 586951386, + 397648508, + 77486040, + 572745055, + 446041441, + 902493319, + 419644633, + 870268944, + 198066945, + 706043622, + 74588927, + 587889495, + 147972707, + 229169712, + 581673978, + 432135355, + 850441787, + 191348783, + 449492821, + 180150647, + 924881852, + 144698017, + 661742270, + 841705818, + 396981347, + 689381797, + 776566663, + 954998811, + 582761194, + 701735129, + 99219420, + 496918939, + 508288088, + 386318431, + 195127096, + 90198647, + 314105750, + 113208370, + 131509327, + 373340658, + 817423393, + 133919868, + 755180193, + 569166670, + 775539429, + 851096824, + 482915984, + 666385163, + 495105089, + 226794771, + 490563589, + 76115625, + 8883989, + 434067525, + 66558067, + 307870331, + 210404050, + 920795979, + 420418583, + 632321568, + 530362138, + 372506574, + 679457705, + 552832499, + 45226917, + 995998298, + 659023983, + 243381718, + 736833674, + 562842487, + 197584414, + 429209136, + 460665018, + 215576745, + 505993136, + 163993880, + 835770675, + 839717017, + 669378308, + 146792915, + 264557834, + 732912335, + 588422828, + 888804579, + 297286304, + 29972326, + 583248230, + 269470868, + 220909591, + 590376413, + 940815575, + 909670409, + 799105473, + 666533026, + 50157067, + 151375690, + 906684910, + 305483782, + 917830948, + 243964080, + 892754951, + 434909498, + 143306197, + 479719451, + 90832822, + 194781413, + 623043754, + 336307744, + 174312238, + 336253789, + 759629886, + 638454792, + 325565507, + 261814314, + 693500730, + 54716070, + 241258921, + 131187466, + 538725789, + 336550264, + 580058271, + 209457723, + 801895638, + 526126932, + 550017166, + 273325591, + 855316270, + 482366052, + 665665863, + 276647701, + 946674979, + 435372385, + 364750682, + 228822623, + 396439515, + 100427476, + 424316370, + 787070883, + 73904359, + 971799036, + 564626782, + 915696841, + 790203540, + 696918800, + 394326616, + 815732458, + 730091287, + 222334009, + 166259364, + 352223157, + 941698622, + 269888631, + 472717014, + 621284272, + 157871192, + 938053698, + 427200904, + 904959489, + 297487945, + 723780210, + 983417012, + 699236586, + 550327808, + 556872920, + 472213753, + 977612602, + 694359569, + 154536031, + 957427732, + 490662015, + 261089974, + 487238161, + 393864277, + 787119381, + 184561525, + 84367990, + 878332739, + 879785846, + 470979374, + 968739962, + 613854669, + 220356263, + 195682041, + 534834529, + 231746624, + 309349494, + 23894170, + 727827597, + 579496458, + 442219632, + 187740, + 732354195, + 616830866, + 264528847, + 187023267, + 972864336, + 495888442, + 497125668, + 47794109, + 208897096, + 100392629, + 635092670, + 383419324, + 463845485, + 278562302, + 991372028, + 332957423, + 96651796, + 656420552, + 964223818, + 35771433, + 123149498, + 228282047, + 759116291, + 858929586, + 639725777, + 820052716, + 825320131, + 502349163, + 133923764, + 813748228, + 315444108, + 661731900, + 643756456, + 690065629, + 910043017, + 265838913, + 63758003, + 803808118, + 864914163, + 114631325, + 133086894, + 356454000, + 69988307, + 241714886, + 522491068, + 386434381, + 55763119, + 103727757, + 917893310, + 81524838, + 526712879, + 193740022, + 123975318, + 559281462, + 75590425, + 333126172, + 481019243, + 186426676, + 593994035, + 225758446, + 439588671, + 32112872, + 378728443, + 91365226, + 282487305, + 229917835, + 826498746, + 881685297, + 307741458, + 173884910, + 640624687, + 219477721, + 600917425, + 866440523, + 291841179, + 634373983, + 27442405, + 71249426, + 553708258, + 613900025, + 316145012, + 651004939, + 131358481, + 937155100, + 322969785, + 58384292, + 263158339, + 531431384, + 345035443, + 202112992, + 832914571, + 807358126, + 177165069, + 832957194, + 986910306, + 59456900, + 244740590, + 667123224, + 424887886, + 113482451, + 179765110, + 860178639, + 372250754, + 229611095, + 605882494, + 656317386, + 151303116, + 756995494, + 870859613, + 763876147, + 269938522, + 307621164, + 471117632, + 360650934, + 214611668, + 226482732, + 567897285, + 63345534, + 844229523, + 202776159, + 649545566, + 676482544, + 377851299, + 748777169, + 821246865, + 393644394, + 933265659, + 485037844, + 173722412, + 616767109, + 139497429, + 450065701, + 338086945, + 934199080, + 913760661, + 14433035, + 701077263, + 455898488, + 957604961, + 140522244, + 811022995, + 856996116, + 865099790, + 709592100, + 393629128, + 364693270, + 905149788, + 196797857, + 405669273, + 969138926, + 245218054, + 835136883, + 724743101, + 265125478, + 675449462, + 61872795, + 556918069, + 974590342, + 830304978, + 698487046, + 312526867, + 388205891, + 734520323, + 839139611, + 718976431, + 834170337, + 920920336, + 967075233, + 702345758, + 77436243, + 643775069, + 885253056, + 536353221, + 711617081, + 427772504, + 781604665, + 292657831, + 964242738, + 845465770, + 623340138, + 70760128, + 734528810, + 64166766, + 943954866, + 690755152, + 365421437, + 891556585, + 940747755, + 589367343, + 295745545, + 369693098, + 703232606, + 872997542, + 821558493, + 858123354, + 211020882, + 990604794, + 688914515, + 733896893, + 515351596, + 592869613, + 2405117, + 323023512, + 167506287, + 868109190, + 195666393, + 635510488, + 421369318, + 737859370, + 892507909, + 527321298, + 64972594, + 609891649, + 988156614, + 137909716, + 119064581, + 419951721, + 740381161, + 998602896, + 281530563, + 847607595, + 368909551, + 320583220, + 726512051, + 225255808, + 73481240, + 490846455, + 797144294, + 529105263, + 89305411, + 792199098, + 111843154, + 581574634, + 749577565, + 304747342, + 408277115, + 357145124, + 114004884, + 76730812, + 796982054, + 745437600, + 528624509, + 518234903, + 165426190, + 330010985, + 260705031, + 185379829, + 142583846, + 837090307, + 605035018, + 540196944, + 524292146, + 247913690, + 234360293, + 505485598, + 983515861, + 228188232, + 790676679, + 335219939, + 644241988, + 297163, + 448698850, + 499525201, + 976191209, + 321484534, + 527181161, + 232992268, + 231978073, + 291222666, + 222688810, + 22920577, + 140971131, + 438719909, + 645897115, + 531981304, + 385421689, + 224957647, + 517324423, + 824291620, + 949784319, + 368693066, + 438311042, + 663362255, + 99685848, + 446024943, + 512678467, + 30174645, + 421466294, + 411030046, + 43009129, + 854868509, + 180948899, + 223438951, + 107683810, + 86189238, + 892639228, + 531078427, + 373779856, + 4365716, + 686420388, + 96784711, + 528409452, + 82338264, + 540568341, + 697759606, + 513975022, + 946601475, + 879325869, + 523710898, + 476588997, + 503682654, + 937480602, + 890484331, + 679089787, + 202046090, + 79923457, + 586276921, + 357815656, + 661614388, + 582434081, + 225744934, + 619807780, + 394620102, + 66295075, + 374834604, + 703984967, + 608625890, + 427360429, + 866395769, + 954812242, + 552276694, + 830477440, + 729779280, + 634132253, + 288705843, + 966474648, + 222530951, + 443078722, + 498810527, + 208527717, + 327938791, + 890831427, + 46479945, + 665484128, + 477969504, + 49496094, + 148630265, + 521987361, + 114877623, + 222534003, + 805487264, + 273227317, + 377952290, + 284087131, + 996068885, + 361980484, + 460128667, + 500639034, + 638990910, + 685465212, + 916496762, + 921973425, + 694160138, + 653694304, + 530414123, + 119327506, + 918491677, + 258699091, + 498185140, + 395157347, + 38568977, + 105593445, + 181121520, + 471624249, + 514528223, + 318748966, + 824282766, + 85598954, + 94697813, + 875277489, + 833868061, + 932387625, + 841921180, + 773690515, + 358585786, + 707724060, + 916378145, + 515550294, + 1493696, + 286811871, + 120578641, + 183159325, + 526744706, + 571356459, + 160209938, + 665424538, + 223623057, + 819543072, + 257904770, + 13605566, + 66759590, + 852968545, + 726808529, + 432423776, + 739327348, + 559757686, + 572802230, + 18392611, + 83012372, + 247237893, + 804346267, + 582028920, + 512440966, + 950239955, + 11475306, + 743259819, + 166734700, + 807958330, + 636885074, + 122580116, + 534645013, + 129653693, + 34273531, + 174685566, + 562968875, + 587763020, + 122353778, + 145513399, + 925555309, + 119966936, + 235383508, + 745997554, + 423478118, + 311851226, + 440131586, + 820599844, + 576649988, + 363158948, + 206274914, + 729775905, + 103476304, + 907557544, + 145668634, + 565606238, + 746219111, + 563744522, + 810511458, + 979190213, + 919014956, + 124646898, + 492932213, + 12714067, + 972206215, + 223710159, + 40860685, + 380550405, + 609306582, + 127233435, + 546294339, + 634445113, + 25163382, + 755855587, + 779771099, + 168181090, + 562635567, + 252139729, + 488057304, + 989636666, + 345793711, + 230362952, + 802246609, + 700541390, + 964708886, + 401731712, + 351777784, + 383465265, + 102739027, + 87229067, + 911838970, + 763513963, + 247635501, + 948592242, + 607325378, + 792300641, + 446199191, + 144808541, + 695932770, + 487459216, + 787430326, + 623340757, + 894659726, + 708731128, + 483719880, + 956502573, + 144395223, + 929576716, + 885850002, + 975852729, + 448707865, + 509013330, + 292983280, + 183928524, + 332042492, + 215118825, + 753889820, + 15938710, + 100879573, + 360365510, + 288016894, + 857058842, + 864890412, + 36910606, + 366920479, + 417426487, + 634456834, + 188594508, + 916222579, + 768497989, + 606831283, + 828017078, + 737007121, + 845993646, + 210782426, + 961621524, + 844049867, + 278605578, + 84637449, + 124674351, + 410971463, + 471602149, + 423612620, + 600110852, + 262920511, + 668688259, + 447418369, + 804855662, + 564354877, + 10006608, + 797819480, + 57818685, + 690343187, + 231487841, + 588018007, + 253610211, + 257687443, + 869570927, + 631311750, + 468878203, + 940874166, + 322029549, + 464377636, + 530525377, + 746508009, + 896304649, + 870386910, + 677065446, + 574192820, + 26970849, + 679997766, + 603205886, + 979793712, + 785099226, + 302101111, + 200132016, + 474361124, + 558018176, + 126289156, + 458322436, + 844895821, + 302568684, + 492895008, + 40502578, + 627080322, + 328861704, + 341905260, + 409734884, + 292918154, + 876837899, + 624684540, + 306127152, + 718162784, + 557563237, + 598119321, + 503305861, + 277545400, + 96032143, + 974289501, + 527954176, + 114955644, + 638752306, + 964131272, + 48697585, + 545032203, + 143810022, + 955311816, + 159627015, + 478827688, + 834098364, + 617720381, + 927391939, + 420854661, + 896272032, + 303159914, + 166759114, + 811137308, + 513714543, + 211507638, + 15602527, + 645031308, + 516613436, + 774926894, + 706268097, + 539618869, + 954495062, + 986920021, + 31974736, + 436153026, + 888880994, + 887762759, + 273818288, + 972451583, + 983871252, + 629319627, + 503403980, + 289067510, + 463510357, + 455674122, + 370930213, + 29155154, + 436053915, + 265326917, + 745988590, + 683733830, + 944196735, + 33484006, + 298112330, + 911548598, + 596165061, + 917392933, + 712337484, + 294266421, + 222226715, + 69744853, + 617789792, + 81221151, + 769849920, + 441646449, + 179473804, + 936374814, + 251292175, + 93801420, + 225848534, + 927568546, + 142159828, + 529884385, + 529179741, + 539618448, + 925287096, + 681473740, + 178411906, + 140054018, + 248021256, + 398152659, + 101533723, + 998117023, + 779306684, + 141956429, + 127697751, + 356946781, + 213507618, + 647700876, + 913727706, + 169623124, + 406381813, + 439840287, + 856721779, + 298631271, + 177448575, + 305274997, + 48268875, + 805899650, + 55146656, + 440533876, + 953156711, + 369350015, + 402127551, + 613649269, + 545760174, + 897363918, + 615507763, + 729320973, + 326593812, + 167879111, + 940491290, + 488487081, + 341691670, + 564373404, + 631215795, + 615936159, + 513819211, + 368530540, + 870154303, + 250393521, + 170094493, + 926730587, + 173457401, + 997803945, + 512995295, + 668969830, + 98850599, + 465253565, + 534495169, + 192483836, + 363556051, + 984547567, + 287523008, + 292742716, + 468975140, + 266383431, + 36322612, + 630200435, + 909536749, + 992607725, + 208184700, + 129912514, + 273999629, + 626480797, + 740817506, + 710250524, + 502556683, + 85550985, + 725957355, + 41766650, + 502765964, + 947085642, + 766255416, + 212286591, + 77383102, + 906629428, + 569346133, + 48985758, + 903429420, + 741500816, + 159589441, + 667921477, + 85086534, + 128938078, + 436355843, + 458013114, + 807222625, + 682439589, + 706247330, + 23420410, + 833500745, + 690816690, + 623309818, + 532842962, + 214699212, + 841121682, + 863429514, + 405997568, + 560990076, + 727955830, + 726021315, + 882665249, + 799354436, + 671104439, + 80751002, + 77889158, + 335157287, + 932715297, + 262589848, + 62785560, + 825059102, + 251189497, + 829625494, + 560016461, + 994484021, + 642293924, + 642427621, + 891909450, + 607505778, + 243904409, + 642401111, + 278807871, + 208381814, + 364686162, + 648789449, + 236651718, + 245087252, + 989224924, + 799300482, + 845396540, + 479279042, + 521768532, + 156223619, + 821922953, + 314912167, + 724496411, + 656764655, + 978739518, + 430245392, + 191930989, + 88279139, + 431659080, + 693176839, + 165658044, + 597541809, + 185678887, + 842447640, + 684061226, + 453691428, + 824033619, + 869138065, + 693806589, + 946639360, + 210090813, + 250036573, + 663579605, + 146811117, + 61613102, + 246315775, + 286001732, + 191703160, + 404547853, + 845553762, + 638274496, + 762190810, + 722708248, + 536377244, + 547999792, + 381555413, + 7330998, + 980228165, + 674554121, + 794866520, + 399013501, + 367689060, + 276860064, + 820934024, + 978129733, + 976353264, + 862315573, + 252967131, + 290946748, + 304748981, + 488900870, + 315547114, + 261198586, + 777432195, + 148404770, + 245107947, + 574400061, + 7801143, + 100797862, + 795408241, + 920534859, + 747004254, + 820721499, + 562573381, + 263067150, + 197074699, + 586515261, + 401181505, + 399822174, + 500148247, + 655202362, + 896155427, + 307913351, + 328288976, + 403767602, + 532113945, + 297794492, + 520533705, + 403013653, + 991377415, + 605776450, + 435682552, + 785872773, + 424925238, + 593358660, + 156868191, + 843238506, + 669960590, + 862998626, + 105592743, + 968269002, + 948672389, + 236630743, + 202926037, + 991308302, + 593882563, + 44783667, + 583771370, + 494403229, + 12484289, + 506508268, + 752553528, + 778255333, + 195839029, + 781632226, + 498814968, + 740375594, + 160723059, + 415840716, + 127330765, + 607158045, + 717462603, + 348796624, + 611856883, + 453063437, + 212846098, + 571968143, + 787592691, + 404721908, + 801934459, + 896645450, + 569029103, + 505694180, + 61649005, + 761921637, + 762921885, + 714274692, + 621566468, + 591148043, + 718851043, + 449726040, + 208105375, + 452873649, + 301690725, + 905497636, + 117991340, + 132125417, + 430242172, + 797093770, + 772380779, + 827672263, + 961808334, + 885905649, + 432777405, + 343568380, + 585444424, + 506770058, + 847408438, + 320170860, + 433313717, + 563028385, + 759897878, + 412942311, + 585325073, + 806109515, + 390929922, + 142711836, + 208123998, + 458165898, + 839159768, + 863567265, + 522554965, + 645053303, + 161273990, + 469712087, + 238001365, + 580933609, + 615832362, + 419716408, + 683927892, + 210842416, + 293323805, + 401894778, + 479868075, + 68241399, + 135646984, + 779799704, + 44858655, + 906955183, + 6126059, + 545173540, + 272456366, + 973459548, + 972256160, + 74692390, + 680213242, + 790967699, + 859441228, + 546881699, + 25538635, + 453941965, + 969673149, + 741180146, + 233060818, + 144012766, + 487352293, + 452670880, + 182176284, + 476166110, + 774878363, + 179793739, + 597555669, + 630897630, + 236980679, + 573150714, + 99558176, + 95920357, + 463675353, + 187689781, + 717926280, + 111505322, + 374498481, + 211294030, + 320110452, + 32319372, + 204677937, + 209511675, + 637696352, + 900209461, + 894539628, + 784169955, + 856595274, + 239222799, + 89719179, + 879339512, + 524299201, + 512709342, + 514493443, + 612491531, + 402655353, + 879332403, + 950935309, + 668423258, + 753070127, + 94342579, + 877890364, + 407986993, + 646356293, + 781571047, + 515059722, + 541698726, + 851765279, + 236977012, + 264292341, + 772879614, + 844095385, + 215222391, + 226947318, + 905680213, + 376155211, + 496460819, + 835446672, + 497127940, + 987645823, + 805196719, + 795655731, + 127015767, + 64013676, + 764551266, + 204181797, + 364351537, + 904567417, + 495461954, + 567918887, + 40065282, + 658812114, + 333456744, + 101746199, + 617995221, + 819632107, + 926525411, + 393031579, + 737044377, + 12096313, + 587288120, + 900681161, + 360424369, + 191557396, + 595106397, + 360498429, + 840270187, + 825811619, + 387844476, + 479214030, + 577845388, + 19522144, + 271617544, + 897496618, + 100240031, + 421388168, + 511078774, + 697401462, + 2847414, + 960206885, + 567695114, + 8942094, + 327761295, + 773797430, + 329124689, + 1070775, + 42813933, + 375350724, + 366395721, + 318649751, + 532842263, + 258408806, + 811026169, + 549266343, + 969543240, + 413071714, + 91895855, + 243855707, + 518305154, + 966580873, + 413559808, + 41782270, + 900957062, + 122728790, + 641979999, + 202622652, + 438450654, + 103518179, + 767457030, + 94407829, + 447084778, + 987038261, + 368090346, + 402539184, + 508035741, + 45307599, + 764903510, + 148215974, + 103739806, + 792337999, + 793596856, + 554294093, + 303272971, + 10937667, + 815500801, + 1201387, + 814246355, + 113264062, + 884670643, + 228969912, + 486067439, + 50040031, + 856229740, + 5245211, + 197786008, + 452549367, + 485361263, + 172479938, + 541628237, + 58193476, + 588920462, + 591795564, + 663707863, + 590583262, + 759970077, + 372631191, + 767265183, + 25338929, + 905179513, + 884312359, + 472498201, + 75921202, + 972014241, + 919117178, + 314855462, + 449380244, + 494681080, + 796316857, + 265250945, + 178075294, + 174378720, + 179240340, + 884264700, + 125729848, + 686924861, + 999334820, + 534197820, + 148251941, + 574969655, + 507698758, + 138232853, + 828913257, + 333423604, + 865617453, + 338314161, + 337209535, + 989264682, + 321511669, + 58610142, + 117155956, + 294105343, + 139570196, + 248698784, + 75516385, + 782773129, + 967934515, + 591824927, + 968996640, + 57772953, + 814466757, + 879520218, + 74945156, + 732237660, + 295580119, + 507806324, + 114977248, + 282676644, + 15916365, + 106928443, + 401120202, + 143750421, + 100940810, + 291017475, + 102736053, + 874917751, + 101734205, + 729314311, + 699301584, + 610055373, + 178310327, + 757716330, + 448258561, + 435999441, + 175280119, + 967008821, + 79307392, + 484530902, + 633482023, + 917335568, + 160779059, + 593738408, + 579677310, + 624623764, + 338755128, + 572470551, + 146781439, + 630326264, + 944027306, + 399645863, + 988498934, + 709574880, + 605416044, + 210251506, + 423392745, + 242295210, + 749281875, + 708035836, + 615613219, + 541286540, + 786122102, + 753924422, + 927343726, + 99129873, + 847846921, + 218105320, + 760846005, + 880488145, + 389636939, + 622162134, + 778513479, + 133368303, + 993159180, + 755700502, + 335555481, + 887759899, + 886872791, + 450170417, + 879407282, + 881496310, + 47204625, + 847273497, + 656344634, + 4900219, + 594055922, + 140666469, + 394162002, + 187693001, + 183244442, + 213561494, + 734237212, + 727160440, + 123023142, + 438769780, + 478027807, + 219243778, + 484167673, + 581337837, + 586420040, + 270518628, + 87895561, + 937255932, + 106498779, + 396238147, + 425171843, + 929313058, + 247494450, + 813192283, + 115507370, + 183453336, + 792630667, + 800019636, + 87681126, + 317675284, + 40307889, + 292321037, + 905426226, + 39338957, + 836155024, + 294880652, + 468129158, + 36661880, + 998609368, + 347636150, + 208154210, + 408973718, + 44230871, + 989707503, + 597750522, + 432386330, + 787763238, + 248259424, + 731109681, + 457159011, + 566956, + 586594866, + 41512029, + 100662668, + 296633217, + 633905950, + 783673212, + 886910894, + 422931356, + 944348616, + 756298884, + 386626157, + 440832423, + 175575617, + 960475414, + 5438370, + 525057067, + 39809783, + 337092226, + 163035914, + 54220008, + 271692113, + 277233777, + 426518185, + 980713812, + 598978017, + 149753661, + 398795574, + 630339370, + 26650818, + 152257671, + 500971410, + 186956039, + 816141362, + 881137133, + 814871390, + 916350182, + 339716193, + 435164759, + 706090084, + 239747506, + 365756435, + 786026881, + 510185356, + 751588910, + 879715442, + 28894495, + 800767426, + 82298510, + 902885733, + 141790022, + 637007667, + 243761178, + 329216089, + 16430943, + 479258332, + 864611125, + 372415641, + 801812503, + 327091565, + 729666532, + 319662824, + 732109941, + 178762291, + 584571472, + 853581389, + 921981559, + 91966392, + 364795567, + 587938450, + 729425764, + 507957612, + 864806715, + 836287492, + 659418179, + 242175737, + 831515044, + 948389290, + 550236985, + 940254988, + 206055765, + 198468569, + 261429289, + 20580006, + 176892430, + 170317827, + 378544467, + 800038116, + 976850022, + 902716292, + 25107985, + 298586132, + 897999707, + 70993381, + 427338297, + 700779604, + 744321334, + 467362183, + 490479302, + 38817962, + 857067980, + 994233227, + 843679462, + 420854966, + 128160402, + 846998369, + 658238282, + 573446184, + 106573074, + 621722187, + 621683453, + 635878714, + 843867577, + 2458050, + 694052209, + 762211724, + 286197456, + 617234570, + 418233425, + 736438006, + 308816928, + 130099301, + 307573998, + 287293470, + 161678480, + 677355310, + 506198042, + 562771228, + 753875167, + 706671927, + 443233900, + 356679775, + 352234249, + 223116351, + 444540979, + 782016431, + 794798924, + 242624989, + 545286392, + 253913076, + 870317015, + 716258246, + 717218777, + 219471967, + 446484779, + 505849694, + 666886378, + 768140744, + 467501185, + 650280527, + 602503397, + 24197233, + 826009768, + 103134868, + 901463765, + 229498243, + 70147768, + 154086278, + 990270278, + 729842895, + 531368972, + 390859070, + 651416991, + 470598977, + 89178469, + 726912823, + 64313058, + 761996386, + 181412766, + 786556527, + 796470930, + 996519655, + 904481226, + 543906603, + 433075512, + 604921289, + 828152469, + 378677460, + 923068541, + 584288134, + 409553741, + 200650734, + 623706219, + 81604982, + 607160574, + 455412205, + 274638356, + 545137918, + 700002295, + 555874695, + 456173103, + 433181944, + 216692670, + 342290167, + 709336141, + 152860447, + 462445929, + 101805040, + 133573590, + 369775206, + 93231740, + 805290244, + 119581420, + 884575645, + 744399260, + 98542532, + 284685821, + 127123212, + 280987464, + 646053252, + 35446495, + 555698040, + 944483176, + 867281788, + 829874262, + 493998003, + 260726958, + 789740101, + 429885728, + 176660251, + 644914512, + 389757195, + 237952679, + 739939873, + 951283729, + 946083910, + 996284428, + 446008237, + 641750011, + 494398137, + 661327626, + 370051432, + 541849794, + 500665153, + 70862501, + 313997436, + 413323395, + 690317619, + 180420116, + 643335433, + 445604115, + 614783501, + 20053634, + 792024778, + 554982531, + 535065450, + 149803219, + 55255381, + 345877856, + 839963634, + 845807311, + 721236169, + 949127391, + 134055492, + 815071981, + 360471905, + 838237090, + 162163015, + 913239096, + 370743054, + 565579818, + 877067411, + 245337220, + 281722992, + 305557441, + 266004831, + 711336873, + 68917587, + 403608861, + 416484770, + 380012192, + 89383184, + 313542370, + 925620107, + 469839679, + 411167210, + 320015481, + 768201388, + 693273383, + 942540000, + 831724930, + 769835299, + 450637806, + 934278292, + 913799858, + 434029191, + 523849057, + 375525546, + 928307655, + 369269869, + 899318047, + 200869984, + 474580545, + 510674728, + 622044542, + 166689276, + 597363363, + 109551750, + 89000848, + 891482864, + 980196173, + 770911175, + 760492085, + 991705162, + 799978892, + 675481054, + 155385392, + 459865052, + 564370206, + 33415674, + 46262211, + 37120505, + 390692885, + 814396790, + 873245155, + 6951939, + 953421514, + 557633724, + 277141142, + 267396714, + 960859056, + 330906971, + 427236138, + 650915703, + 61131436, + 786788665, + 404345325, + 363094919, + 568469436, + 772166468, + 46164131, + 691201555, + 857836090, + 207666322, + 180711311, + 398887866, + 271909009, + 510545900, + 185545300, + 433536852, + 18024763, + 347155411, + 365384020, + 9664755, + 429919961, + 339305228, + 754057342, + 411344789, + 24595413, + 179785873, + 780665585, + 706510128, + 369321433, + 585830569, + 237099967, + 498210176, + 742391246, + 445330217, + 283777675, + 410404925, + 593162758, + 930275599, + 197179683, + 283330221, + 894466080, + 342885605, + 339550870, + 462608738, + 421670310, + 564597115, + 177296099, + 675016329, + 36246039, + 41647346, + 245706124, + 894593821, + 473701600, + 169638591, + 483657613, + 962292707, + 892470222, + 90442360, + 437947172, + 45643531, + 460591297, + 825142735, + 536283557, + 809346011, + 885327188, + 326963645, + 196288550, + 416527113, + 823075813, + 728715845, + 411506406, + 741460331, + 592275125, + 965486472, + 575309234, + 113331285, + 860018784, + 284683860, + 313509834, + 30890028, + 933122081, + 36503694, + 270760667, + 383359138, + 999650774, + 630340380, + 601413470, + 316397928, + 25242741, + 607604380, + 461614534, + 62416655, + 457205832, + 142293289, + 157996740, + 252068133, + 12361039, + 639304505, + 151435001, + 494600090, + 191174352, + 556053620, + 903763415, + 754789303, + 854844340, + 675799274, + 385151889, + 229054896, + 30040062, + 648965248, + 566835689, + 564591660, + 714995500, + 695746970, + 730408564, + 658546016, + 19277563, + 364957967, + 735253372, + 956443084, + 586269636, + 539152790, + 178364331, + 179915395, + 717286111, + 695148372, + 637240014, + 731417684, + 310370073, + 873498238, + 745556497, + 388475335, + 371060097, + 904510995, + 802221515, + 582145589, + 625102821, + 425092851, + 656539517, + 900383370, + 383864704, + 175550286, + 46357285, + 365780139, + 947927570, + 584941720, + 210754429, + 29426985, + 466030280, + 351901808, + 197222593, + 504001913, + 870465847, + 460792615, + 779189742, + 968677244, + 506244323, + 207240550, + 70362070, + 603369610, + 315236423, + 226479171, + 141495637, + 453946751, + 347591141, + 839682512, + 483929931, + 706230521, + 355395849, + 984593801, + 69013680, + 517998396, + 711323066, + 395713163, + 255201229, + 120047201, + 153606515, + 510797931, + 930045207, + 509646452, + 78073144, + 603989550, + 741863241, + 599176515, + 539995343, + 240427074, + 916236828, + 684223632, + 494784052, + 226672558, + 591057042, + 752883359, + 452837395, + 538715086, + 206897188, + 911919012, + 606596285, + 855681718, + 614153241, + 306646044, + 624530378, + 732934476, + 719898570, + 868942993, + 348240379, + 852506563, + 140557326, + 586694771, + 712650640, + 828831717, + 880988884, + 5498789, + 600821719, + 451731948, + 746542169, + 434129765, + 195405235, + 758893117, + 107694449, + 605882104, + 380168326, + 581356102, + 720878792, + 248783449, + 44231247, + 998401501, + 92000472, + 624957738, + 440594835, + 435037854, + 453670036, + 571538270, + 784321066, + 311425280, + 391378239, + 975152816, + 859443221, + 789410516, + 779713166, + 415841295, + 181947099, + 868012409, + 412433218, + 271348525, + 198631872, + 432263383, + 467662827, + 715095613, + 892789682, + 401971931, + 951256758, + 881550421, + 842851524, + 284497079, + 242477807, + 512456242, + 653686947, + 141570634, + 729245036, + 476002290, + 910890245, + 903874956, + 727540677, + 907372907, + 297838735, + 670810652, + 94179839, + 245107839, + 427489487, + 645687331, + 140639787, + 280563281, + 460933293, + 44612582, + 577503889, + 829890116, + 167431388, + 267778917, + 310006195, + 796582779, + 902439146, + 339166634, + 996462393, + 763069193, + 370487647, + 302263122, + 301904214, + 496166514, + 464810672, + 423109277, + 910603425, + 177694851, + 228739421, + 662595315, + 989979179, + 256188946, + 362500744, + 144830387, + 529822663, + 131354618, + 829469465, + 384978464, + 519646321, + 360765927, + 840399030, + 288873492, + 446028344, + 40687637, + 644335939, + 993345168, + 119159155, + 253213484, + 681473681, + 229926640, + 87803877, + 887655713, + 402623318, + 678616439, + 28588427, + 588040772, + 1126262, + 622874903, + 504403918, + 611689475, + 186116336, + 337064678, + 985773136, + 895603696, + 774221178, + 310253483, + 75406587, + 571225996, + 823025790, + 724456095, + 768952292, + 784435229, + 616700188, + 194191708, + 90061991, + 201214065, + 154907076, + 938161996, + 742732463, + 523160148, + 279620580, + 612972292, + 351776938, + 440851041, + 663445813, + 922634276, + 111284399, + 965131187, + 869859529, + 643422950, + 764967452, + 825277119, + 710188538, + 509539517, + 180172729, + 766987479, + 663711015, + 126544133, + 108680358, + 595961046, + 999775804, + 249380015, + 827703966, + 478374087, + 622721622, + 364489938, + 950473773, + 910787523, + 980094388, + 329286102, + 943229671, + 318537191, + 290902820, + 728356243, + 221729727, + 581624765, + 226766181, + 782257923, + 215585376, + 74320695, + 871230117, + 539734037, + 228838357, + 759889731, + 528869749, + 775885785, + 296250743, + 9346279, + 78827873, + 796513676, + 695583143, + 767182416, + 366524558, + 293568485, + 665153374, + 445572066, + 114152003, + 873549914, + 458682416, + 794551203, + 749443547, + 519589885, + 6717085, + 351196003, + 802468570, + 436909262, + 9016203, + 333209166, + 427217039, + 213998683, + 322872434, + 250753477, + 925149573, + 386203047, + 91146005, + 645259372, + 454915302, + 576904613, + 436528236, + 598896207, + 550994846, + 167257459, + 20113732, + 657213989, + 428934136, + 54738093, + 270808126, + 809839467, + 460822254, + 777662662, + 382365179, + 598626599, + 743989505, + 781309165, + 342003887, + 250453212, + 519378262, + 563928287, + 825654111, + 528074435, + 901349786, + 586479157, + 551933569, + 633652871, + 1925256, + 183376311, + 541201676, + 246691447, + 319224753, + 451926304, + 46870193, + 758347806, + 535732377, + 237379273, + 140121072, + 298314762, + 707425468, + 563747919, + 225263386, + 697842762, + 941663778, + 931436019, + 131299228, + 813715216, + 747984919, + 133286180, + 124867404, + 716487955, + 616984589, + 486258351, + 196668619, + 586132507, + 87893277, + 26353883, + 349934334, + 715401399, + 144620325, + 990169710, + 826263668, + 324704951, + 953718622, + 142882235, + 74793282, + 463745756, + 908443117, + 742822647, + 292311244, + 799763681, + 260934217, + 805935776, + 942916291, + 549509676, + 592644695, + 144244401, + 258966334, + 400861428, + 771154920, + 749358434, + 322992851, + 824982284, + 224045660, + 543977788, + 398523199, + 967518397, + 344023881, + 571882367, + 935612894, + 136508809, + 641262575, + 112645172, + 603747006, + 126903285, + 720214465, + 828360152, + 765586279, + 43091678, + 642197057, + 771087866, + 328583958, + 263515116, + 760306588, + 923856538, + 743673141, + 160845541, + 459810350, + 170963770, + 958226409, + 393152319, + 745855038, + 336605154, + 690028495, + 568625004, + 830859796, + 195411530, + 886298911, + 590198582, + 1810033, + 360572911, + 487348733, + 801706654, + 942877947, + 215449692, + 302195283, + 496480013, + 512094360, + 101429037, + 908206650, + 888632835, + 898030257, + 616963151, + 88889014, + 697963325, + 224386269, + 291808262, + 202079063, + 122111336, + 362764228, + 699350115, + 160714742, + 608212397, + 148058347, + 176090810, + 50866787, + 320739844, + 959369540, + 683888288, + 902105812, + 314944523, + 95599030, + 512594441, + 257689902, + 352115741, + 126727376, + 902037367, + 594878314, + 48866027, + 753137477, + 240998202, + 392992685, + 925497984, + 401388054, + 552579219, + 224769900, + 98481953, + 953760539, + 897759967, + 56974472, + 203212872, + 502929704, + 243273378, + 557279890, + 200900415, + 642673455, + 352866346, + 167514593, + 939635421, + 600989914, + 35540479, + 416292901, + 232847294, + 706800702, + 631175926, + 269126558, + 677437298, + 700232448, + 492129246, + 125070034, + 331903331, + 693638784, + 916658549, + 758389966, + 94409759, + 417911937, + 557679900, + 687574830, + 808870036, + 147494664, + 841584610, + 690464822, + 269744702, + 115200388, + 350346083, + 692191734, + 853484276, + 730577749, + 513492365, + 500432518, + 32888194, + 677654303, + 137455513, + 323671968, + 310495737, + 640877454, + 123242345, + 767443947, + 949628817, + 842824345, + 14905313, + 171093503, + 335330887, + 350151325, + 354564774, + 588921924, + 823182690, + 610534862, + 537716577, + 806776991, + 476588836, + 376009833, + 55604779, + 132012358, + 266298940, + 73180704, + 588089674, + 246475230, + 886598267, + 874066789, + 994592177, + 611922566, + 672327342, + 732460080, + 339843865, + 588977632, + 361200044, + 729019950, + 787956935, + 745019770, + 887330529, + 489341485, + 674967036, + 758832319, + 352308254, + 27543823, + 217269087, + 734334680, + 837958496, + 866163044, + 710967130, + 168131772, + 846390208, + 214431654, + 367987628, + 761004517, + 975408612, + 732519431, + 908312249, + 640015554, + 267804854, + 561661209, + 209787062, + 512836598, + 462660178, + 191283014, + 510824749, + 592308920, + 979537183, + 905234127, + 842560353, + 421134090, + 291502139, + 213739898, + 244599138, + 446363711, + 788555725, + 733339086, + 382013489, + 190255789, + 513977479, + 373312151, + 271365380, + 949822238, + 230837540, + 347984411, + 13569898, + 112174637, + 478555026, + 660871897, + 720667999, + 777474168, + 115779698, + 463199701, + 430216693, + 934097317, + 471921045, + 91850628, + 130219282, + 739771101, + 102087573, + 798115097, + 516626877, + 993767031, + 852198703, + 588393118, + 580574673, + 524319647, + 340658345, + 48575616, + 607049264, + 102591903, + 164426346, + 28075347, + 829198862, + 722898117, + 821563365, + 830000206, + 731995900, + 50681376, + 9468556, + 367631452, + 124485313, + 508842155, + 549453360, + 942452409, + 670564670, + 615230772, + 356952925, + 384439628, + 877200020, + 491129205, + 296757572, + 858705582, + 740859256, + 228429900, + 975871560, + 173143188, + 315971800, + 914061119, + 484665060, + 747778799, + 626222307, + 627568451, + 310628248, + 779864569, + 653098516, + 938255542, + 292202603, + 37629150, + 289896693, + 314482712, + 601220573, + 387162759, + 958501044, + 788653029, + 750898166, + 881487199, + 203172838, + 78729167, + 334263041, + 854053566, + 433572670, + 593614272, + 447087120, + 631717127, + 533140948, + 17077726, + 886131709, + 636141808, + 101514555, + 954417551, + 296352494, + 803672725, + 914371600, + 822037161, + 299923350, + 812455679, + 459761967, + 42464997, + 254645728, + 602872918, + 277842263, + 106882194, + 533159450, + 861486763, + 996743275, + 72956312, + 442505270, + 600981444, + 980965715, + 313261605, + 99249770, + 342878598, + 199198133, + 791152933, + 857910455, + 325543347, + 721434677, + 56624333, + 497859518, + 837043063, + 930267370, + 4720500, + 343062817, + 649610092, + 970591431, + 417094847, + 978359733, + 597413067, + 256922018, + 633024948, + 196155088, + 869462175, + 862597170, + 744845170, + 306450881, + 120381566, + 626066816, + 700452371, + 153661639, + 925811473, + 419151459, + 825038855, + 696281672, + 281118236, + 536943847, + 572952903, + 985363798, + 929512712, + 155332403, + 344233777, + 171650713, + 966751823, + 669206667, + 684238328, + 919507229, + 278927231, + 133171972, + 89800805, + 335753219, + 422154814, + 825218948, + 743453718, + 400922233, + 375251099, + 420125923, + 728338690, + 256668343, + 561743615, + 450817483, + 270280069, + 598969336, + 488490183, + 171947900, + 482515899, + 443990499, + 491695214, + 179465706, + 584366783, + 323337054, + 610319883, + 607030747, + 754664683, + 623442218, + 544529872, + 209406916, + 184070187, + 218465518, + 94376472, + 130112401, + 269250530, + 20142092, + 956492836, + 116380963, + 97095841, + 104706941, + 798010735, + 11509645, + 340929803, + 158803704, + 43832140, + 385257866, + 313154222, + 22000593, + 506100462, + 849370047, + 787491645, + 213582768, + 763405144, + 548349600, + 392874432, + 854000543, + 781432744, + 428308161, + 157756852, + 59194494, + 330777032, + 599256205, + 42794255, + 96613379, + 373692648, + 197625993, + 461513716, + 443213425, + 983865993, + 233259736, + 272213433, + 796585752, + 144224798, + 479046504, + 600019389, + 924247870, + 621816693, + 349622903, + 175689659, + 145617825, + 870844653, + 72482253, + 580256784, + 862626822, + 79423232, + 816691361, + 544565188, + 62286176, + 427192235, + 770614070, + 559419284, + 195468410, + 313622853, + 998013074, + 269630637, + 10319621, + 515673207, + 406361672, + 880458184, + 653311203, + 207772272, + 869090753, + 20219974, + 131177342, + 150264742, + 64449057, + 733395939, + 469787880, + 718290784, + 245744452, + 610355944, + 631425972, + 834789793, + 961061669, + 504886730, + 302892829, + 287222236, + 359043765, + 783139435, + 213518070, + 739929537, + 284186460, + 860393588, + 6602091, + 117519805, + 177078433, + 400889537, + 235280967, + 76341180, + 69261279, + 241111739, + 700939571, + 434351453, + 629233940, + 167761412, + 49390756, + 252855945, + 14119319, + 464936505, + 227818142, + 642885945, + 68674486, + 715000309, + 267122957, + 696413231, + 146467127, + 793006100, + 597593264, + 65848633, + 911379436, + 819254455, + 772182057, + 624138651, + 593165899, + 439455290, + 855817464, + 102795386, + 880009062, + 174202208, + 944081658, + 270437267, + 489343578, + 923191772, + 17490706, + 656114667, + 645670076, + 415342915, + 322015236, + 742109455, + 406933230, + 181467538, + 912192047, + 129787521, + 315284754, + 195865596, + 375740064, + 429103738, + 284288747, + 905673226, + 233269225, + 994334651, + 147244910, + 827694642, + 960452773, + 957338670, + 387300459, + 951269519, + 952043937, + 802048372, + 583503389, + 595363954, + 598677385, + 677812530, + 617704702, + 801528963, + 207138846, + 13569224, + 23281554, + 602148900, + 301687163, + 209297871, + 32444801, + 618420957, + 767965156, + 889180711, + 6709594, + 491087800, + 568029561, + 187214396, + 813434197, + 138193353, + 171152548, + 111422859, + 820784686, + 220970556, + 324937004, + 222318269, + 379305784, + 359101948, + 176929510, + 241263930, + 100868839, + 343104869, + 490874792, + 902144593, + 319030684, + 844940842, + 896948492, + 985426562, + 666195722, + 447159813, + 963824352, + 921527068, + 270465466, + 232360248, + 726214419, + 223059729, + 431399179, + 409530927, + 867029404, + 988742849, + 325962591, + 606271263, + 976650484, + 430166170, + 823646155, + 965605853, + 215933008, + 655036168, + 256162343, + 151375092, + 41398651, + 433659928, + 370322143, + 614421357, + 101155850, + 551521000, + 579116291, + 897938369, + 169010241, + 971733618, + 300972287, + 699678920, + 834151311, + 757445766, + 750724311, + 939819221, + 280222369, + 998015327, + 646898493, + 602439793, + 75757562, + 520673231, + 601396688, + 503851428, + 921593141, + 289318689, + 645243001, + 15241732, + 966146930, + 176740784, + 198053177, + 972400634, + 310571346, + 873112589, + 315093123, + 555625194, + 620605568, + 295959749, + 381075016, + 558839323, + 915630999, + 383621769, + 93801851, + 930284333, + 384363643, + 949383904, + 720174342, + 505132615, + 468761268, + 968734124, + 565323933, + 913418683, + 135762185, + 343953763, + 518992338, + 340581600, + 586553447, + 168695518, + 742347997, + 264982490, + 936328602, + 940006669, + 29110776, + 771415544, + 997760074, + 375909238, + 389001959, + 557341801, + 433438983, + 841527058, + 685425776, + 542428344, + 591611368, + 448179246, + 824023513, + 651654517, + 279974934, + 292037044, + 212481217, + 961044728, + 945278806, + 479870144, + 455208327, + 818412345, + 649924454, + 917427469, + 626407198, + 247093633, + 878256019, + 943980281, + 79600848, + 307241997, + 769992554, + 259601344, + 198877320, + 182170076, + 476334376, + 580069867, + 437460587, + 446978551, + 702583520, + 292793273, + 430833191, + 473183850, + 98421621, + 985132218, + 266514141, + 448591185, + 364988325, + 925127307, + 158368887, + 519945413, + 428833889, + 900865042, + 349748611, + 846180951, + 191550901, + 904091929, + 381363734, + 286433212, + 481302731, + 4195519, + 552892267, + 98651957, + 165271444, + 143282317, + 395862308, + 557981135, + 932240323, + 511211359, + 735545563, + 996873242, + 29478707, + 87521820, + 763189459, + 667072482, + 162578508, + 854706103, + 184646012, + 891147707, + 783790910, + 528874106, + 877535216, + 527410088, + 62485780, + 875857166, + 738122550, + 160596556, + 279844205, + 290571470, + 726791738, + 179549095, + 531408556, + 996411131, + 593195282, + 27106194, + 985279911, + 918059058, + 144463801, + 147127737, + 748535275, + 886005506, + 125500959, + 591254245, + 496754619, + 575973760, + 802260278, + 200406460, + 103433268, + 230298400, + 744948332, + 803233456, + 991680098, + 400272203, + 249695530, + 832879214, + 775918575, + 760074250, + 932411634, + 591020691, + 853969878, + 761948056, + 53629884, + 487582934, + 619335556, + 444900737, + 781252828, + 332746508, + 678107679, + 750290247, + 934029440, + 490041258, + 627899093, + 820220512, + 206413881, + 786586577, + 153641521, + 598125327, + 390394228, + 299276859, + 328992552, + 124559755, + 242189970, + 641080965, + 543094805, + 324069343, + 715465709, + 719914738, + 183712743, + 75561158, + 416218598, + 5858903, + 99646881, + 578940937, + 587018792, + 275792673, + 406952079, + 136488714, + 32389325, + 562389175, + 829554862, + 88304306, + 271536071, + 276805940, + 225148607, + 311979651, + 513163828, + 938762483, + 701971456, + 718025051, + 524163441, + 201373878, + 566762226, + 493697577, + 249702262, + 167106337, + 513340431, + 271307670, + 262813390, + 471509161, + 427814468, + 75458777, + 518536572, + 575415913, + 127654975, + 972077645, + 370764862, + 531421890, + 636300597, + 10601968, + 426306835, + 591595304, + 751980509, + 335911543, + 448536844, + 19717366, + 785296340, + 117635603, + 114992183, + 223500417, + 404160681, + 749086733, + 335599558, + 689329048, + 644731982, + 330160272, + 502144191, + 832412682, + 239378069, + 258460129, + 40473753, + 362685657, + 415773639, + 683970980, + 158336038, + 714636048, + 102404828, + 485837534, + 612009054, + 640122922, + 575595328, + 106683393, + 10956757, + 335758513, + 962629426, + 47327849, + 914666161, + 671021581, + 850154856, + 8548262, + 380743038, + 301608244, + 430243850, + 806627096, + 587342818, + 407522376, + 245294309, + 945482463, + 612881114, + 18187243, + 281975708, + 257303067, + 794306753, + 155970207, + 340345844, + 400946170, + 806353892, + 544434500, + 703897933, + 442355185, + 316581294, + 684189408, + 621938175, + 208690508, + 222799275, + 554002812, + 31883387, + 532508137, + 154575732, + 424080798, + 249136547, + 467039511, + 236867270, + 681401980, + 847246268, + 851069138, + 284281864, + 981088812, + 809649355, + 308627605, + 614907789, + 861389527, + 327657526, + 736204679, + 562074367, + 97154324, + 144242884, + 677620782, + 253993252, + 6025289, + 353517496, + 559744377, + 640464975, + 660609842, + 20854831, + 548420541, + 51549722, + 525675310, + 41115447, + 120963189, + 563180152, + 492050967, + 664735473, + 534918277, + 345073315, + 187448148, + 746965645, + 553517931, + 839936618, + 264860851, + 569074008, + 6870573, + 328639464, + 989028437, + 639571797, + 548173522, + 135303194, + 980905590, + 456443591, + 535198172, + 530395197, + 446504348, + 837047899, + 686727657, + 381449129, + 519765706, + 424540040, + 645769820, + 641105100, + 290912226, + 858791554, + 461161802, + 419304377, + 295939139, + 745756683, + 33926579, + 243059119, + 159744542, + 602487848, + 665325109, + 254126239, + 416881944, + 417750577, + 320608170, + 228128630, + 634630498, + 461835599, + 342200366, + 932479963, + 229059220, + 833856776, + 305728100, + 758270896, + 967280027, + 888729570, + 727232250, + 765122305, + 613894713, + 262476780, + 449468217, + 912232999, + 329801062, + 296478814, + 677789495, + 980224308, + 363452725, + 758379818, + 127967386, + 864865459, + 346395180, + 787707428, + 227514078, + 642885905, + 396854655, + 729704206, + 817558011, + 527100601, + 740306444, + 996170947, + 233601668, + 705242394, + 283654216, + 454724353, + 811110123, + 462434858, + 720795391, + 776023374, + 457833189, + 63924965, + 608662744, + 715858273, + 77114085, + 930955627, + 491674796, + 16553004, + 398436237, + 433617414, + 349156562, + 403964439, + 169020562, + 31156080, + 11631660, + 578166479, + 223178570, + 990322858, + 580442947, + 643283999, + 536913077, + 364292700, + 989113098, + 126195088, + 921244843, + 103170949, + 68746741, + 560853667, + 224154570, + 998754411, + 220905780, + 921576270, + 233809208, + 381853558, + 525598085, + 743925177, + 189810516, + 779291553, + 218799119, + 860777342, + 329215468, + 346253545, + 430616151, + 107475751, + 215604253, + 249689510, + 269598529, + 25447598, + 265070263, + 359921829, + 967506062, + 113258957, + 974381912, + 806381126, + 153637704, + 277696792, + 741509397, + 558247440, + 232217984, + 564885598, + 512518870, + 215980162, + 657417215, + 95778656, + 769142300, + 197522535, + 886114993, + 494023256, + 785022369, + 536841842, + 278677087, + 491608737, + 970541356, + 47348690, + 370603830, + 699763172, + 540747851, + 423995332, + 734113964, + 14396512, + 52667651, + 690773035, + 337625602, + 625781726, + 292786570, + 217408386, + 800338199, + 458857235, + 669147255, + 26939763, + 909496679, + 491305129, + 503130192, + 832770322, + 643472559, + 22342940, + 666896579, + 719438996, + 290725257, + 257387599, + 987838991, + 432704318, + 173648766, + 923441872, + 545552338, + 613708844, + 361287576, + 136583252, + 347127690, + 528320472, + 39309720, + 431411777, + 953840021, + 121353639, + 523181065, + 274440138, + 92878385, + 252479512, + 571606185, + 928965325, + 206819983, + 744141114, + 49160443, + 193051149, + 195295084, + 559538996, + 558900427, + 784578185, + 708794649, + 22566930, + 1658474, + 857655099, + 161142916, + 458743720, + 567948807, + 736328382, + 843917922, + 321065274, + 286110666, + 676491589, + 83476410, + 7561759, + 394436957, + 667132054, + 699669436, + 83498581, + 535629695, + 1003396, + 783593553, + 428403359, + 739239164, + 393360118, + 336634708, + 958260873, + 350011959, + 257723406, + 636540669, + 897895729, + 471801083, + 807832401, + 464544422, + 33917752, + 722449611, + 374291163, + 979693551, + 373438067, + 166023636, + 953426981, + 758195381, + 894822198, + 748055246, + 69502299, + 848394258, + 90693667, + 92400176, + 347452350, + 919210414, + 410731773, + 370409206, + 589525307, + 667407201, + 955113407, + 379536235, + 493618597, + 476670661, + 376240007, + 302941060, + 949041618, + 590587344, + 669354002, + 161277984, + 746257800, + 502635238, + 891755315, + 566694337, + 859529485, + 133860971, + 493616229, + 65533227, + 253706283, + 236807158, + 47821472, + 820307622, + 995642069, + 600065452, + 480836143, + 545232435, + 554366697, + 800531889, + 794730835, + 357093859, + 141173133, + 859541168, + 353520695, + 923259519, + 486303678, + 487739786, + 886695909, + 208143405, + 181845743, + 482433343, + 753503132, + 55525497, + 515161332, + 494402842, + 453162891, + 484192428, + 332967339, + 418814566, + 559922655, + 245847877, + 319457487, + 534691871, + 441725154, + 707249620, + 458593156, + 594740326, + 29842158, + 503268762, + 982678941, + 470236719, + 646586313, + 520371112, + 135948988, + 131901277, + 799315019, + 532422495, + 162177424, + 450223498, + 219021158, + 633338566, + 409995671, + 251042217, + 374116598, + 305870230, + 41289606, + 918988421, + 789451839, + 200411390, + 89134397, + 688118932, + 267757214, + 494924471, + 646928837, + 339580765, + 799589742, + 596303909, + 281061356, + 365082586, + 49125431, + 174728824, + 620270686, + 931378709, + 378420686, + 938453360, + 976270394, + 856832556, + 934048475, + 40698145, + 731613828, + 572685620, + 555286120, + 818890520, + 727879563, + 60264097, + 472907217, + 953937854, + 580565845, + 28685611, + 487084993, + 215733288, + 669972882, + 268293848, + 290797193, + 585412677, + 136392297, + 831670960, + 716304993, + 670478175, + 568082175, + 778986465, + 935574287, + 374845911, + 501285610, + 122711572, + 314328480, + 513910248, + 108254074, + 760171417, + 839298152, + 880121563, + 510230606, + 951380107, + 765966769, + 699890560, + 772966560, + 81787297, + 869136326, + 842794636, + 209985653, + 117452552, + 334817041, + 147087135, + 905750490, + 827675286, + 885212900, + 667164858, + 651763037, + 594434906, + 737413004, + 22509993, + 867788023, + 782059099, + 970204603, + 617730144, + 471105389, + 919456919, + 815585044, + 317794022, + 565666097, + 593992655, + 601519812, + 822392030, + 588028143, + 919476851, + 171845167, + 17880208, + 624792193, + 430570554, + 789452833, + 554275354, + 469704483, + 474220676, + 984689125, + 966619797, + 51817810, + 36414847, + 208026505, + 600341889, + 82762863, + 783518376, + 213506720, + 201227710, + 43316894, + 463896783, + 22362706, + 508175351, + 790139712, + 845755385, + 371513652, + 943539140, + 978812478, + 641554998, + 376700902, + 955767574, + 315505392, + 330105210, + 844028992, + 10175356, + 238337176, + 59221089, + 306415200, + 58616633, + 291297052, + 30664793, + 415172814, + 910002497, + 902615725, + 756895577, + 686904422, + 519265120, + 231588460, + 466066535, + 452661226, + 7272133, + 528926886, + 751394918, + 349636619, + 867721053, + 744812540, + 612017067, + 740043615, + 985750229, + 462722200, + 628194217, + 26728494, + 595217683, + 926347470, + 395225331, + 148719610, + 18814504, + 199525845, + 972130268, + 210862222, + 798880081, + 864862198, + 502029878, + 402310035, + 117693298, + 328714756, + 910806271, + 848830764, + 410526852, + 190819816, + 889635554, + 449399280, + 629036783, + 532892571, + 290794443, + 109691618, + 52609812, + 515022467, + 322501662, + 251299700, + 112661557, + 594534836, + 397228264, + 545458080, + 989540775, + 502878995, + 869119763, + 476973708, + 378176745, + 548668030, + 155740986, + 842677881, + 450377676, + 230898774, + 21790045, + 735071619, + 550916841, + 368587772, + 56611091, + 476044527, + 409381692, + 778821214, + 267430067, + 384887660, + 260906913, + 213804738, + 731882011, + 497487605, + 196537277, + 965668240, + 996465171, + 140168951, + 598428497, + 61822931, + 928469206, + 926326264, + 583987943, + 304871504, + 327990, + 785709283, + 566225656, + 232156099, + 600241339, + 217546863, + 636532643, + 254643112, + 139217081, + 814735335, + 375095819, + 573921663, + 749487824, + 384241906, + 951825004, + 580254433, + 546244928, + 159469428, + 942621178, + 594964873, + 672573417, + 97855911, + 133807389, + 667719641, + 29728984, + 689053488, + 294601878, + 190104108, + 366615142, + 217069600, + 990121672, + 186467773, + 350118129, + 649448637, + 941380524, + 100312232, + 967825245, + 498752143, + 601943538, + 310803571, + 945092618, + 763731090, + 406605517, + 644565329, + 83685935, + 926151759, + 915578023, + 111424391, + 479248586, + 905447680, + 230477733, + 222134779, + 509024027, + 784187129, + 699047737, + 941384679, + 966925157, + 17833904, + 249007169, + 583539467, + 33724655, + 439801859, + 153519275, + 116012107, + 739941666, + 253764574, + 666938851, + 973986636, + 23748639, + 962411779, + 360033462, + 552621249, + 18595812, + 784399321, + 273617586, + 809247218, + 64204873, + 324622318, + 845163469, + 161494491, + 609321880, + 930434159, + 76759594, + 993926631, + 970464960, + 277299552, + 643489078, + 172615413, + 48775688, + 250118529, + 132987074, + 300940795, + 844978537, + 210856472, + 763068152, + 582996834, + 869758704, + 376568278, + 479688411, + 547496618, + 665518802, + 356726800, + 327727907, + 659765929, + 2029785, + 758283244, + 706510360, + 758379690, + 616154705, + 149235997, + 513114784, + 889966778, + 379639680, + 926238919, + 484645628, + 670675406, + 529704705, + 774782951, + 964744380, + 188849972, + 60575375, + 490126840, + 537279510, + 663148738, + 149735413, + 724831019, + 331535126, + 672990817, + 950781634, + 759222357, + 525764563, + 169769276, + 509285114, + 765449167, + 314211041, + 718838904, + 913969050, + 494116362, + 691130555, + 321550074, + 945938054, + 748582182, + 443682829, + 623689884, + 755313340, + 21360135, + 41429208, + 385731778, + 338420922, + 580810768, + 264377939, + 229467291, + 211232914, + 189100853, + 247092129, + 713007500, + 585025406, + 860002389, + 930615396, + 923734627, + 649783886, + 910443228, + 558553237, + 617411944, + 116267811, + 311866208, + 24546636, + 436670695, + 65636298, + 795143474, + 658584852, + 491885659, + 293394219, + 727727581, + 870285845, + 278915864, + 268605831, + 37571457, + 462083964, + 852296455, + 887197094, + 193495693, + 469518771, + 933340458, + 430706535, + 477110114, + 721549524, + 663014381, + 504150067, + 537127631, + 140222264, + 509899521, + 419634345, + 192941772, + 219457847, + 284302207, + 343699027, + 448769754, + 614027384, + 173163652, + 767220256, + 831544556, + 157970756, + 364286611, + 142146433, + 840047777, + 14427812, + 646002346, + 285834822, + 184094831, + 766736701, + 272791729, + 810705803, + 378452386, + 222649938, + 710718341, + 986112926, + 140321004, + 537238975, + 504336669, + 72847476, + 109427532, + 846334207, + 224810003, + 957171669, + 804443442, + 805229114, + 891596815, + 696977696, + 661493364, + 13384778, + 570025428, + 854567683, + 731473367, + 55928216, + 851151867, + 424536364, + 602075818, + 306584352, + 963960675, + 808040872, + 12490266, + 279230478, + 453947682, + 694674583, + 11063580, + 680823863, + 908976343, + 320518728, + 923916749, + 510011909, + 902201008, + 749404354, + 221573102, + 382719190, + 83851702, + 597874906, + 247560720, + 658936094, + 929569620, + 654357797, + 418009583, + 35680164, + 112415477, + 523126018, + 757982355, + 889125076, + 970591172, + 617168466, + 270086742, + 816911764, + 236912382, + 286675919, + 945961509, + 427224024, + 637046, + 103576112, + 474757585, + 509841607, + 208946773, + 106296307, + 945650717, + 660477017, + 408374865, + 347742958, + 395510259, + 718541505, + 889880386, + 357725889, + 559788706, + 367677895, + 281732207, + 913245579, + 861918319, + 874819081, + 411115758, + 423755800, + 393544376, + 389675648, + 532920437, + 135631617, + 241422292, + 998049972, + 133844875, + 61417756, + 409438423, + 495655286, + 303660893, + 752018986, + 474923059, + 527048704, + 8971310, + 151306942, + 383156107, + 361989352, + 647656738, + 670283352, + 611275336, + 284965676, + 422318172, + 321078729, + 379045395, + 718506565, + 906703071, + 231441169, + 944658162, + 394898853, + 162092555, + 141648609, + 725442738, + 95147900, + 14752664, + 745054936, + 479121754, + 144728882, + 767842091, + 659533039, + 592325330, + 635489370, + 203016479, + 848652963, + 517692353, + 998398584, + 180313171, + 893167716, + 795723006, + 377234247, + 437714679, + 374742002, + 749130904, + 665317784, + 231864254, + 548103274, + 786989651, + 669334145, + 435511449, + 361544391, + 138729962, + 831001299, + 713358479, + 458845172, + 336730110, + 560956719, + 4368137, + 944888759, + 879312629, + 754979861, + 560683455, + 107737458, + 38786378, + 413544315, + 362926480, + 901049425, + 230574760, + 664479294, + 45744646, + 237468601, + 441054150, + 972248305, + 91543086, + 11927, + 552522826, + 578742482, + 92400332, + 890317396, + 79139378, + 833181305, + 848684788, + 818702263, + 925299194, + 542232153, + 993497169, + 536860117, + 164347090, + 895539723, + 215431099, + 485733081, + 159321500, + 134036926, + 98710710, + 597903204, + 665605068, + 306277888, + 353742050, + 207944063, + 695589741, + 973741448, + 533154305, + 151258960, + 900628860, + 519847076, + 896791159, + 269134433, + 838952902, + 98276589, + 530614856, + 304664973, + 142611287, + 329634222, + 281685474, + 334723767, + 567570130, + 17559916, + 796604144, + 387613465, + 637653640, + 134530189, + 279975254, + 39569695, + 195597991, + 192090521, + 56790537, + 238930389, + 968029461, + 488129092, + 721973771, + 29851019, + 337401033, + 701116115, + 880185188, + 227479655, + 188598375, + 117416485, + 708333230, + 642618056, + 591262259, + 43558589, + 767834111, + 890553272, + 272987324, + 626641231, + 399423798, + 826794141, + 612766293, + 743317575, + 479652327, + 800353248, + 873638524, + 169744882, + 58397258, + 272493710, + 138601237, + 386222516, + 646534027, + 377734159, + 423388558, + 656827639, + 145186265, + 522464209, + 188313164, + 373205213, + 46148603, + 896566323, + 812558171, + 744546532, + 839844492, + 611463497, + 477211938, + 518459775, + 741860713, + 979168240, + 975551666, + 770570007, + 830085493, + 261135974, + 632441934, + 891740875, + 939468974, + 477488721, + 372977196, + 361733315, + 720997488, + 966537899, + 381437790, + 568443198, + 236180626, + 677093096, + 132176825, + 823893213, + 818629392, + 266410941, + 272962160, + 806068499, + 401563012, + 415651999, + 115405728, + 560008132, + 227045755, + 876128066, + 14738356, + 835495550, + 297824662, + 487310989, + 765296184, + 518440698, + 179222182, + 990697711, + 21410854, + 480755417, + 865375019, + 983256748, + 365575950, + 946130114, + 479012649, + 582265172, + 463727373, + 563726294, + 650900170, + 99186949, + 268162793, + 496167357, + 830133919, + 749724257, + 882643362, + 21283316, + 689045735, + 510948863, + 137551922, + 549156927, + 980421183, + 427016897, + 276179971, + 195704352, + 979919690, + 962218664, + 742920496, + 26743542, + 922518693, + 574189925, + 873946758, + 526132876, + 497233054, + 217613592, + 935662050, + 428452335, + 270179849, + 903320767, + 759343266, + 524727516, + 288840428, + 631419482, + 283649508, + 85522081, + 770253355, + 89057574, + 174975710, + 957861275, + 850704683, + 679973727, + 258227489, + 999315495, + 105533171, + 525425290, + 879511583, + 922069239, + 843736750, + 398838206, + 828429713, + 98775569, + 452716714, + 35842050, + 118029577, + 973168766, + 141005198, + 737720969, + 939599661, + 622831654, + 78291869, + 236606447, + 990301563, + 220906085, + 273731621, + 725960930, + 241498981, + 537978299, + 619887838, + 105230345, + 937665486, + 596251955, + 381137824, + 374890135, + 891959301, + 118844865, + 273793483, + 172840757, + 111855393, + 79270840, + 542217030, + 21733198, + 433628153, + 293645949, + 858496617, + 976721846, + 361560207, + 934837590, + 756481231, + 631038316, + 803358065, + 677914072, + 457374031, + 920900106, + 176628335, + 805423954, + 432223663, + 610579950, + 459363790, + 605550436, + 784606393, + 153097890, + 725010502, + 118745250, + 909204593, + 892850587, + 80909589, + 788748960, + 415640914, + 281166572, + 382928017, + 306153084, + 413867579, + 433358556, + 593781530, + 106523606, + 489749905, + 62200336, + 501634061, + 32364715, + 96305290, + 407363922, + 461844301, + 142271701, + 870231731, + 365516500, + 24106864, + 479674890, + 905757297, + 568489860, + 755565484, + 922835009, + 266127445, + 631288273, + 570580524, + 238913433, + 575872979, + 639576047, + 54026938, + 477460212, + 129356508, + 355469111, + 919597606, + 56660258, + 258099899, + 355705461, + 702234024, + 809831991, + 797922542, + 641834118, + 709930230, + 679749666, + 563187909, + 274357853, + 855256434, + 546511463, + 797547933, + 94924700, + 490769508, + 468297469, + 899795600, + 810395809, + 784737022, + 175256197, + 247777336, + 752408599, + 302749753, + 105549169, + 140309362, + 471785137, + 320527529, + 715787741, + 943261856, + 716798875, + 779523081, + 624476641, + 942756131, + 864634391, + 905830966, + 910047443, + 881134643, + 902175733, + 744276511, + 974942756, + 826825703, + 283586679, + 41294761, + 689916880, + 767271409, + 411808650, + 484714520, + 702280061, + 630482722, + 787267134, + 735140545, + 994705068, + 636697958, + 777711061, + 821860466, + 221440957, + 46675500, + 378607586, + 740831369, + 219616098, + 695696308, + 275718862, + 251860664, + 787403788, + 926337216, + 529240834, + 361006608, + 161256348, + 947255357, + 210156916, + 531048685, + 280602120, + 85631293, + 164332609, + 491671827, + 32584425, + 457400557, + 273801837, + 54832978, + 228444713, + 490702953, + 884897604, + 481442817, + 790589987, + 986151172, + 595941468, + 141185314, + 681897187, + 584701437, + 296381142, + 200167402, + 369732872, + 447500322, + 831136961, + 924203439, + 402286836, + 744426551, + 191990823, + 238029315, + 587597082, + 166424913, + 502165943, + 738094722, + 84361831, + 431658411, + 843290875, + 109739232, + 339509208, + 755908494, + 736758789, + 939177160, + 746811418, + 184439385, + 677729302, + 735249405, + 983287925, + 455589581, + 28721371, + 934716939, + 809160027, + 178684201, + 591569359, + 72227774, + 414086582, + 672950844, + 590618498, + 915333485, + 143785652, + 281872314, + 508744919, + 930789719, + 551429932, + 992785643, + 57182443, + 382013811, + 826542080, + 153570096, + 101322950, + 463491442, + 718728628, + 976692064, + 453849533, + 806815613, + 965177438, + 322593593, + 575155798, + 245006630, + 988361576, + 459273387, + 913109262, + 599389137, + 773333106, + 984935937, + 284959568, + 257682124, + 720778014, + 38212218, + 455404066, + 77517455, + 744545743, + 217961975, + 947759546, + 744460523, + 957255302, + 35695703, + 826125774, + 88671210, + 533635593, + 718950876, + 895066446, + 365630843, + 905086148, + 628935763, + 4631107, + 647133016, + 140279867, + 31952915, + 264411825, + 769066519, + 298317953, + 886131983, + 946090751, + 568643297, + 500057392, + 554107893, + 502484857, + 799154132, + 475590910, + 82339673, + 147599839, + 447078165, + 276319535, + 801569245, + 771273750, + 825089630, + 164387885, + 284232865, + 339873039, + 815802189, + 925203957, + 107839803, + 842972266, + 626848857, + 293384103, + 170658954, + 593560565, + 353484347, + 135454013, + 734844015, + 556675567, + 384590032, + 221920401, + 245837901, + 606001590, + 32304982, + 234876638, + 739567046, + 28796140, + 834155212, + 531177594, + 872913733, + 437744482, + 279928302, + 165450163, + 639408910, + 35608146, + 997548215, + 822992300, + 906783002, + 558471464, + 289885174, + 986492372, + 993999323, + 790148532, + 335371663, + 683112017, + 375342730, + 802987386, + 954969560, + 350781591, + 158455790, + 624939618, + 550533706, + 239558631, + 120479582, + 153120967, + 928841128, + 31954369, + 997946090, + 64557780, + 940553446, + 147395378, + 273092044, + 110108893, + 887274585, + 419526106, + 674550421, + 988907203, + 976738315, + 15031637, + 533422278, + 225339961, + 606734768, + 838292, + 8660567, + 822371356, + 85011495, + 263607445, + 931264064, + 730494340, + 582107241, + 926294136, + 283950553, + 88636685, + 149844030, + 550563657, + 588521614, + 413953351, + 632069071, + 702492888, + 734806333, + 107605117, + 904969311, + 568794282, + 4342232, + 627356903, + 960697756, + 504958458, + 972786116, + 953489566, + 97994974, + 371140059, + 908011844, + 446535636, + 580419653, + 208162617, + 58426075, + 799776526, + 275862432, + 405959509, + 204158122, + 24193359, + 735541836, + 361255965, + 772309028, + 251125455, + 645555606, + 806725182, + 440357926, + 462242447, + 620204381, + 696114010, + 771134103, + 439416988, + 449259325, + 996392481, + 426875698, + 989529152, + 984609019, + 225039737, + 450070620, + 541349373, + 146660517, + 560948528, + 202193006, + 605504965, + 433570311, + 981219733, + 463067182, + 414406799, + 402496840, + 197525727, + 845470448, + 960215043, + 976013632, + 347749221, + 7832615, + 888514034, + 401355236, + 71454391, + 379242118, + 58575076, + 494293981, + 163490396, + 420166645, + 28840099, + 584303209, + 908413879, + 930804402, + 813237151, + 709635930, + 518085426, + 341272518, + 727011117, + 620086647, + 926981555, + 548132283, + 997495448, + 430167469, + 529746461, + 194841680, + 553921192, + 148491427, + 304485892, + 403853084, + 751994342, + 789432055, + 539433698, + 774391191, + 526910052, + 499936311, + 589724811, + 562451765, + 716055892, + 400121793, + 876909716, + 638612597, + 738496090, + 658232748, + 709044964, + 584394734, + 73445006, + 62695237, + 481908379, + 67915421, + 966326092, + 518678795, + 197502391, + 972317565, + 769930308, + 479686415, + 131961243, + 634577713, + 74944669, + 661121529, + 564742788, + 628032639, + 8904632, + 950950116, + 924355063, + 135148278, + 29517632, + 742368081, + 733238486, + 949205280, + 839777220, + 361603062, + 332499204, + 890597028, + 644942321, + 186511327, + 654239807, + 301589696, + 509894179, + 600119589, + 357887841, + 789663226, + 375779707, + 940336648, + 22717935, + 525564071, + 612772175, + 923468565, + 453823195, + 61052342, + 315597986, + 299283037, + 9588177, + 967004897, + 100724143, + 583510676, + 104058218, + 645094791, + 752058765, + 818969302, + 870568131, + 87979016, + 37320146, + 247706437, + 264964380, + 123931146, + 499878442, + 856473128, + 211628087, + 762335758, + 804609066, + 688599383, + 566343777, + 285094767, + 903412305, + 163629874, + 874357948, + 612730832, + 713006780, + 194899794, + 686172279, + 809603289, + 396042314, + 940149556, + 929146400, + 728282788, + 197685596, + 806180509, + 503921665, + 156132379, + 737718307, + 686309526, + 856083804, + 311859508, + 203224394, + 614838037, + 112704401, + 212395402, + 291670413, + 762519510, + 609064416, + 232025685, + 28982905, + 593623368, + 433774842, + 673624994, + 998207184, + 360364804, + 133100159, + 458200314, + 126175741, + 836562602, + 822676436, + 476191260, + 839373264, + 538697934, + 32271369, + 663932491, + 988882973, + 934882796, + 55707082, + 29885845, + 982593833, + 476307175, + 282664770, + 342968039, + 908898870, + 646072495, + 321673798, + 859096147, + 864121111, + 444009687, + 709924967, + 380140635, + 220035711, + 251547890, + 103058070, + 612221614, + 899254297, + 216218105, + 918045501, + 232398178, + 216318640, + 259257735, + 724184883, + 126872081, + 755438899, + 364078417, + 986454146, + 169649200, + 11241696, + 530207972, + 39419559, + 550851254, + 49610127, + 765830459, + 17365399, + 966894136, + 161264924, + 208892264, + 535734633, + 930463030, + 752474668, + 476102423, + 150578552, + 870797888, + 892963753, + 494536397, + 129337377, + 650153735, + 435281475, + 716848874, + 242533770, + 616472135, + 340768870, + 777185537, + 485621659, + 450798339, + 642773810, + 586556003, + 435187390, + 448133307, + 202057119, + 627338570, + 788464786, + 660911126, + 241179721, + 297345032, + 938059564, + 133678444, + 837850730, + 164118144, + 155616792, + 635837539, + 659202165, + 201039770, + 74183794, + 814678137, + 678338020, + 488925612, + 792253184, + 509054358, + 650280058, + 636269820, + 699204243, + 358442280, + 92663399, + 174277328, + 55964400, + 568069744, + 54532530, + 526215913, + 527507133, + 361907885, + 25560523, + 800853600, + 616386763, + 51802162, + 600533093, + 185689471, + 660796145, + 263177782, + 989485795, + 943753929, + 174884373, + 853070846, + 396050245, + 269056211, + 182411750, + 320438005, + 652592676, + 232076869, + 226803802, + 892368227, + 655156263, + 921823635, + 887406869, + 106221200, + 822866770, + 745946743, + 586568401, + 400702181, + 70664067, + 306327330, + 973490363, + 454727195, + 116661139, + 319602627, + 107133411, + 223420591, + 260074421, + 335187437, + 410657122, + 590807435, + 151356429, + 335564854, + 690971465, + 977455332, + 73443699, + 395063604, + 797822868, + 823850535, + 926897372, + 454045327, + 367602742, + 842691637, + 6094501, + 496135319, + 109827638, + 127216858, + 611273753, + 128077707, + 239136647, + 198369220, + 94049803, + 63956317, + 625949814, + 313960696, + 172624382, + 946037105, + 445386803, + 39185309, + 286074028, + 601948763, + 306252981, + 936712260, + 280413824, + 359082366, + 148415062, + 287722630, + 386436693, + 185305015, + 384084794, + 537579327, + 781891466, + 228850146, + 353907264, + 444627385, + 776259435, + 571949879, + 318934377, + 548926459, + 292248020, + 354321504, + 15025208, + 350770579, + 243669233, + 137468510, + 169496390, + 475876027, + 278263915, + 179809805, + 159326409, + 262224615, + 484326558, + 310899452, + 516789285, + 512446664, + 341216767, + 768210809, + 295798785, + 816363071, + 283596364, + 407013625, + 282918575, + 411874786, + 695389639, + 727522877, + 622653103, + 418049736, + 366073728, + 105309032, + 282585850, + 857220055, + 678747716, + 664803151, + 175238497, + 798076282, + 443252581, + 706613184, + 178336988, + 355955994, + 912819946, + 330893901, + 186695774, + 879662438, + 937969145, + 528581474, + 598025984, + 63056396, + 559880910, + 243889138, + 808496698, + 665968599, + 23602464, + 118351448, + 641554690, + 927351532, + 427990498, + 740834412, + 135653792, + 359321807, + 432450187, + 302988759, + 820572299, + 731572669, + 854985956, + 813038127, + 355932578, + 644922842, + 377170534, + 334636176, + 435934834, + 391163344, + 763582739, + 100108695, + 167272603, + 941428058, + 549382591, + 565480692, + 954997232, + 290493739, + 854313133, + 589888192, + 577092180, + 701713645, + 551622774, + 266556521, + 424320387, + 737856411, + 183937786, + 540994566, + 677102985, + 696045708, + 274992004, + 688481558, + 292403564, + 20817796, + 77686097, + 552486375, + 358370582, + 548139279, + 26891279, + 102735319, + 817974352, + 208343405, + 467546689, + 812313038, + 409678333, + 514209002, + 481617201, + 99484323, + 818351839, + 657703414, + 285990300, + 536802194, + 814125697, + 25429512, + 862838178, + 577219675, + 975611117, + 472465628, + 152949436, + 752580535, + 908756264, + 189675796, + 423913093, + 174480635, + 949538032, + 894073807, + 656476663, + 876561512, + 767969539, + 799999878, + 619316141, + 849936921, + 276401452, + 74564172, + 97968155, + 702759854, + 901552618, + 752103650, + 78997552, + 923052854, + 61550013, + 194937251, + 514569591, + 906164829, + 880767846, + 919269943, + 989507659, + 931462348, + 689403757, + 975302133, + 421596376, + 622306600, + 644570566, + 600326262, + 954062444, + 844995687, + 380935345, + 763663687, + 463236632, + 91950038, + 270485434, + 355159312, + 694510925, + 173513212, + 383038458, + 308038774, + 71857651, + 746093738, + 271123068, + 125039933, + 727919384, + 857405992, + 676624943, + 729715367, + 298923256, + 503245401, + 521464834, + 400282037, + 192989248, + 767425172, + 449371642, + 828493532, + 738721465, + 646086209, + 583945617, + 470541828, + 597215719, + 320013899, + 285351193, + 126369676, + 426225922, + 45893792, + 881946063, + 858284074, + 890016645, + 22425984, + 341468163, + 179545350, + 908039901, + 670198643, + 559861036, + 870893816, + 824453936, + 906192115, + 157837427, + 498863265, + 104357862, + 825126819, + 426123638, + 829706128, + 515743643, + 617959154, + 166335254, + 558903599, + 238655931, + 471321087, + 103281598, + 758059999, + 327260517, + 556525134, + 326304615, + 744759426, + 462497538, + 896184216, + 42065996, + 80214749, + 680579904, + 298538394, + 266837708, + 418368483, + 264243682, + 872532335, + 735272507, + 824496959, + 627504783, + 996853368, + 895787704, + 232548927, + 548977925, + 98373025, + 928220986, + 271290140, + 978614153, + 381355383, + 909760910, + 635209421, + 787171490, + 782129049, + 431260181, + 479925113, + 520099036, + 465668665, + 613794658, + 534031413, + 952029124, + 893528156, + 330614951, + 682217401, + 954870478, + 945262577, + 17914692, + 328027219, + 505523406, + 312145825, + 956090326, + 213403197, + 472284357, + 833029612, + 820966572, + 609327461, + 860401113, + 652578122, + 569016493, + 242277877, + 134957207, + 798014697, + 628606534, + 588275361, + 929598381, + 406707886, + 536645119, + 502871531, + 886687973, + 571238957, + 396553443, + 410551303, + 373585812, + 40467733, + 660503036, + 373469199, + 883156138, + 24444696, + 14343521, + 32731802, + 194379054, + 629748943, + 631234281, + 350407986, + 124573214, + 746158369, + 95855683, + 164761226, + 872106048, + 927695689, + 450565314, + 750192619, + 838536312, + 16399434, + 926064518, + 533133472, + 784139213, + 328037426, + 355030143, + 835047383, + 822033296, + 249863789, + 697521467, + 785210219, + 16782726, + 443575687, + 65725778, + 748115742, + 958261896, + 314628946, + 119843165, + 449055586, + 206738301, + 961719088, + 124823040, + 465864915, + 140080928, + 354608092, + 338490898, + 902427822, + 588435035, + 629579245, + 204450611, + 357738700, + 312280529, + 598709147, + 821763540, + 516254241, + 989428455, + 641067861, + 532055610, + 957692474, + 746907724, + 960800271, + 149025734, + 79619970, + 924938494, + 6730276, + 723325275, + 419967768, + 962827997, + 435367316, + 376458383, + 686777476, + 595319800, + 528613235, + 942932089, + 417025485, + 61866611, + 339876359, + 768344221, + 199957588, + 832797919, + 719885484, + 832678617, + 859615839, + 609494910, + 689404800, + 918581932, + 148958446, + 696048031, + 433420478, + 954899226, + 470488776, + 79101227, + 541655506, + 356188394, + 752671826, + 655082094, + 65769158, + 15549514, + 381577046, + 507178852, + 18901887, + 830397375, + 923111106, + 706380208, + 762098988, + 205027270, + 795223516, + 623590896, + 415965904, + 203413196, + 258338311, + 936215215, + 549121621, + 602700223, + 160685991, + 448119073, + 933255086, + 836436681, + 196594539, + 124916436, + 551720534, + 893830769, + 486315031, + 367203418, + 929807419, + 928153592, + 451056222, + 957929040, + 574162765, + 236804866, + 261826425, + 644798192, + 929970819, + 151919666, + 611792348, + 851130159, + 868810581, + 499177939, + 301241173, + 812959570, + 595201383, + 62592181, + 763677515, + 209496944, + 548633307, + 869421463, + 741097334, + 525546018, + 101297920, + 235267808, + 524839331, + 421506225, + 549119334, + 470272642, + 489472945, + 697697418, + 939552693, + 328638934, + 225102798, + 645710536, + 387539296, + 243847021, + 471519735, + 374543436, + 35943049, + 11194791, + 374325968, + 118587236, + 435320895, + 171940171, + 644643891, + 572561370, + 461259663, + 643449093, + 783573435, + 209880031, + 278289854, + 188972882, + 458965611, + 686699526, + 606712019, + 789626625, + 909735396, + 132999253, + 995779846, + 483356458, + 321006989, + 274954582, + 147578193, + 489817116, + 128493388, + 958994414, + 865281307, + 40236474, + 771436149, + 684767681, + 39067491, + 883756780, + 743393616, + 849346971, + 928692182, + 249200140, + 396319169, + 70168429, + 60445216, + 109712197, + 554147430, + 988267550, + 414923331, + 939376894, + 36157983, + 483782246, + 338022201, + 546066413, + 313167505, + 622555624, + 261062178, + 973213072, + 327312500, + 56201777, + 838640798, + 27256065, + 116789882, + 922135658, + 167116290, + 585525370, + 409834532, + 180671629, + 941929440, + 194029881, + 981348536, + 470168818, + 169049639, + 949248555, + 803182918, + 554312037, + 550067259, + 962226158, + 881521878, + 514454254, + 15255960, + 492611715, + 208026466, + 504479369, + 553681771, + 981391614, + 70850243, + 253962440, + 413036223, + 227234892, + 318405782, + 294871312, + 5094009, + 377157778, + 339098422, + 32377339, + 555624420, + 192285486, + 777354708, + 276864234, + 8651590, + 209653074, + 498673805, + 497156124, + 429144614, + 802648006, + 326138982, + 531922725, + 323562457, + 906741401, + 302269423, + 921077832, + 788858278, + 492613703, + 829187309, + 968449474, + 193186826, + 748608301, + 612511521, + 760387975, + 999159174, + 450460171, + 143902818, + 507301652, + 199306022, + 857867198, + 26043779, + 168930178, + 181048493, + 992346597, + 281012009, + 771569052, + 655431543, + 106670504, + 267060691, + 169523044, + 360461580, + 666550409, + 424722584, + 819169889, + 541012736, + 709466377, + 192409521, + 230354518, + 392104663, + 519401720, + 140113606, + 409225640, + 577178657, + 740928336, + 501387159, + 376373984, + 948366015, + 366078451, + 784466729, + 423931329, + 111234821, + 219217298, + 442017735, + 133691805, + 675673342, + 252318313, + 179745972, + 647717759, + 408068442, + 358781164, + 648649975, + 355981891, + 172126140, + 713004331, + 175330501, + 933828881, + 22735789, + 820420542, + 314322736, + 752289981, + 641534257, + 546088561, + 424456971, + 120781032, + 947976700, + 558906522, + 999428364, + 371937091, + 357629777, + 377122899, + 868448179, + 61434205, + 374286420, + 478270702, + 512729462, + 31705283, + 963013678, + 168588829, + 285363403, + 13053810, + 71927829, + 121180713, + 121620039, + 68730610, + 988623163, + 237510432, + 19688737, + 454995240, + 457403883, + 469207434, + 935985351, + 187013479, + 351740068, + 461254745, + 221929577, + 735786757, + 714822057, + 968471472, + 663575475, + 845627953, + 934031625, + 756944584, + 816043547, + 804913447, + 528122377, + 385951944, + 690741363, + 34184887, + 633960331, + 839778496, + 319951885, + 526192181, + 34034976, + 141202508, + 832197737, + 156088688, + 951810415, + 94751249, + 968730466, + 920352279, + 451360918, + 662936542, + 263804611, + 977554912, + 736693519, + 64820343, + 789725966, + 7527990, + 160139329, + 701796456, + 857205580, + 93692880, + 152023705, + 391784388, + 82448441, + 679325593, + 598715486, + 302540995, + 295324435, + 781210339, + 913820301, + 596312402, + 797617039, + 773831676, + 181761495, + 215346836, + 39585869, + 331582982, + 670453167, + 206330460, + 455123197, + 670199697, + 850530762, + 85663600, + 299042447, + 898195524, + 334340242, + 493585836, + 400608547, + 345300840, + 656556222, + 156928545, + 84999832, + 320527436, + 906368981, + 591944920, + 763613707, + 853434713, + 979567972, + 428763138, + 813144647, + 607316218, + 655480494, + 137983575, + 51458205, + 890057688, + 342175191, + 123265745, + 703257766, + 907612371, + 816522445, + 296210123, + 591445418, + 561204915, + 90754866, + 582337724, + 520087789, + 578100215, + 251247209, + 329640413, + 86480908, + 792609633, + 304709024, + 47505186, + 960228053, + 554192028, + 987559207, + 692564399, + 757361052, + 199885868, + 321794513, + 978067179, + 521803938, + 741156864, + 606172754, + 620743038, + 553046788, + 18997327, + 389548889, + 44906582, + 282797353, + 517524849, + 546995292, + 485445179, + 242554365, + 401011110, + 704796703, + 761146593, + 735868278, + 157914180, + 289676715, + 945517992, + 173377977, + 855993964, + 662793810, + 699407766, + 412292421, + 128437859, + 985297569, + 531886083, + 236280385, + 559064456, + 835172486, + 233110169, + 3708506, + 765033976, + 967125697, + 353730643, + 857201067, + 792339690, + 595433695, + 818580559, + 96128863, + 119532653, + 190202692, + 550829687, + 360468632, + 627595048, + 796613824, + 62161591, + 895655258, + 778500701, + 935187448, + 945284864, + 917181945, + 377995330, + 452237408, + 534523926, + 612310511, + 425367337, + 102875129, + 51875025, + 813890505, + 556517589, + 840068639, + 544480794, + 893190121, + 416775537, + 175848771, + 31188513, + 573104595, + 61460804, + 75470072, + 465562719, + 709677039, + 48424949, + 521719482, + 365482480, + 671310905, + 388040490, + 601766641, + 602873061, + 853429919, + 213056060, + 526450032, + 963774318, + 583723779, + 896845796, + 2269049, + 252468999, + 144076620, + 678410678, + 429667684, + 469972896, + 314235413, + 117357464, + 964406724, + 254263986, + 724167753, + 965154224, + 259232339, + 335530799, + 240500950, + 392807355, + 862896669, + 549600586, + 206682987, + 339563802, + 86719201, + 347106601, + 265058247, + 770750247, + 668404506, + 1302834, + 710146653, + 463091504, + 338785345, + 552942903, + 531649421, + 947205023, + 837917477, + 935524784, + 51369298, + 175900171, + 243320090, + 53906707, + 103064926, + 585917522, + 405534173, + 537747202, + 351131740, + 736135647, + 523314813, + 448684839, + 661002186, + 606738893, + 289777473, + 363638512, + 727942886, + 291995589, + 339441712, + 939169892, + 14766695, + 11538415, + 893724060, + 746605776, + 560248052, + 292420216, + 341935251, + 273958093, + 347480008, + 988157651, + 456946966, + 772191256, + 938037438, + 107434455, + 59264509, + 1412577, + 366958711, + 119048317, + 543093730, + 455692189, + 942297579, + 378571216, + 578364541, + 539712166, + 130481846, + 589516871, + 73946440, + 433026240, + 378896190, + 487776439, + 300665697, + 937953080, + 342333569, + 594760321, + 745349413, + 492076070, + 445053551, + 167296825, + 407201005, + 852217234, + 910928006, + 824523780, + 503987484, + 928901826, + 443999300, + 600687159, + 603592115, + 872093260, + 97716006, + 623758232, + 857600726, + 782047047, + 299033898, + 397439298, + 76523667, + 700666028, + 698102902, + 306239488, + 365035878, + 998365535, + 829140590, + 776072265, + 165997176, + 815797309, + 373169059, + 203006103, + 546637349, + 326515286, + 201641629, + 883563390, + 101255312, + 785615572, + 62157233, + 425914784, + 201084312, + 338754009, + 423605622, + 737469188, + 49096139, + 508873041, + 89550379, + 64057218, + 287633385, + 608782147, + 908354699, + 900226239, + 283012632, + 818002079, + 577695851, + 738819514, + 380768743, + 889426305, + 113312602, + 183462870, + 990091472, + 318736220, + 336120134, + 700419549, + 973448103, + 665925106, + 331763740, + 809133672, + 241614740, + 788458132, + 324680122, + 678919336, + 145094424, + 141976011, + 279869582, + 935195597, + 552329571, + 798464396, + 816386821, + 638770925, + 446865613, + 655054562, + 478009436, + 479889820, + 319574280, + 780900242, + 623210025, + 935309130, + 495489452, + 787431851, + 951965550, + 655754496, + 477580840, + 580269070, + 707325191, + 725858698, + 465427862, + 702275427, + 792697225, + 108327737, + 289220038, + 178107251, + 54092192, + 798802845, + 300811173, + 206002245, + 529673902, + 766676481, + 168911559, + 90566062, + 175342467, + 498003489, + 401350015, + 133560733, + 834512606, + 158521994, + 21521843, + 542315922, + 64013406, + 620233383, + 90866410, + 118143683, + 494305119, + 838416744, + 69657109, + 145682026, + 968769286, + 659532096, + 472082115, + 587277305, + 886494973, + 846144339, + 794033486, + 606209853, + 749218231, + 513147722, + 346672921, + 245394218, + 145207274, + 334956082, + 703282032, + 35958445, + 939978533, + 475240302, + 244118342, + 355189224, + 173712017, + 814732270, + 272392005, + 182199750, + 345850727, + 573307790, + 561584501, + 748824517, + 727964513, + 97351620, + 728162551, + 668184771, + 618383624, + 794601287, + 988925042, + 830211680, + 67538047, + 505691619, + 769572284, + 739993950, + 5454470, + 323443370, + 724080686, + 78919114, + 230105437, + 542527526, + 687977992, + 234206836, + 406194093, + 231072487, + 684190202, + 549368485, + 903346305, + 470882842, + 592303633, + 33814667, + 924268184, + 337904102, + 237070675, + 485621425, + 415923114, + 324166410, + 94979200, + 949318106, + 825580051, + 142871654, + 312215101, + 10304307, + 196535439, + 787207220, + 33970901, + 849007875, + 719730762, + 601372916, + 335705646, + 873579088, + 96474664, + 216434804, + 91297251, + 338386842, + 723880361, + 673075959, + 999421373, + 576754794, + 21029531, + 566644208, + 556352230, + 547441190, + 273298476, + 647156109, + 822198117, + 236022289, + 262383570, + 69381420, + 925418353, + 290039063, + 934824645, + 149203821, + 861917893, + 435766839, + 461484261, + 298969804, + 118964298, + 609262461, + 445988105, + 841111434, + 944061356, + 136761534, + 758254115, + 874830416, + 259520996, + 572434377, + 80237153, + 137613057, + 508661901, + 596906063, + 288625518, + 852455550, + 585185988, + 318639366, + 38618940, + 495758611, + 771051908, + 986565100, + 494743622, + 402641661, + 529729126, + 980119887, + 175297976, + 681283390, + 992055996, + 694320940, + 682603420, + 468332395, + 572895670, + 130755835, + 385177459, + 980326328, + 545491748, + 697432787, + 389391314, + 853617496, + 591687230, + 730559996, + 515352452, + 339358372, + 181876507, + 873639601, + 685458095, + 60378683, + 151716532, + 804031254, + 929296874, + 805861511, + 634521568, + 376184587, + 441480147, + 233189354, + 330937499, + 238075567, + 582375507, + 63634045, + 435396649, + 642305663, + 746292732, + 812880526, + 81243520, + 859121868, + 281838235, + 561978072, + 574985577, + 39521568, + 319019055, + 79721561, + 714788452, + 602736952, + 916737450, + 288560714, + 74913038, + 383163458, + 20619999, + 494337542, + 907710667, + 225903719, + 784253078, + 204503260, + 776853189, + 893678739, + 809504488, + 826087543, + 266742820, + 320940660, + 472065965, + 632641423, + 379172935, + 925472029, + 621307016, + 642479569, + 631672797, + 105009695, + 342843046, + 3657261, + 674843539, + 778115923, + 768009317, + 710430408, + 476297389, + 709148378, + 670953081, + 392487760, + 456112714, + 984914467, + 410041816, + 773307486, + 184207706, + 508308726, + 81872751, + 953170244, + 252569377, + 906779193, + 261654788, + 537703084, + 480666618, + 945807470, + 836237623, + 437006516, + 15052906, + 369133355, + 926442180, + 838220221, + 592067183, + 832239613, + 412803475, + 120355233, + 825762129, + 917783535, + 607410638, + 474638640, + 88617320, + 976052548, + 490649132, + 141110987, + 572712600, + 215653652, + 57617493, + 172646307, + 128766755, + 787593049, + 39609334, + 451789129, + 967692130, + 762643792, + 641657192, + 821596331, + 564980981, + 999217600, + 771165193, + 849349519, + 813308134, + 171516977, + 765259346, + 659792232, + 63375530, + 800599387, + 142169528, + 638264627, + 418387494, + 243674477, + 42334750, + 505013259, + 504772946, + 286817315, + 40223755, + 983991858, + 533512389, + 829843367, + 334141387, + 307096248, + 603687225, + 685119941, + 413792952, + 728140537, + 679749184, + 862367694, + 159816315, + 778060195, + 519535952, + 901534093, + 598724129, + 522379160, + 743454577, + 446691266, + 871478715, + 629243115, + 105753523, + 974983961, + 174407029, + 941724876, + 335202142, + 797333148, + 935132209, + 390999439, + 45867411, + 888839692, + 167250547, + 496418167, + 775531055, + 950093449, + 39277141, + 340009971, + 783579683, + 654302854, + 906986237, + 995807077, + 623788955, + 144014188, + 201834783, + 596453959, + 806412645, + 765730179, + 261084986, + 861304315, + 848950676, + 324892812, + 224099933, + 215095843, + 304551796, + 159744427, + 552955473, + 910694406, + 891591884, + 132749487, + 496607857, + 593163343, + 960716923, + 969355375, + 893994172, + 219044883, + 99039714, + 433568248, + 585378588, + 672398866, + 638912695, + 343812858, + 293722892, + 649047214, + 897496735, + 416848980, + 942222214, + 452385489, + 960896243, + 346160497, + 932327570, + 99531099, + 578733304, + 452940817, + 225013567, + 269941509, + 583783852, + 317824248, + 314955605, + 676232120, + 605363914, + 167500525, + 957236163, + 656952502, + 717337601, + 905618038, + 644335463, + 198336793, + 403716423, + 767194663, + 683630389, + 710002945, + 393330327, + 113356052, + 634682377, + 221141422, + 105733829, + 333223050, + 644208839, + 316758182, + 942132587, + 666393027, + 477754373, + 680030421, + 918273517, + 213745713, + 585920670, + 576406784, + 414217584, + 770544890, + 411402260, + 697882424, + 923080893, + 214070769, + 329659785, + 8600408, + 34841030, + 5227776, + 750130888, + 211024655, + 22839326, + 287987524, + 67294957, + 70697461, + 872715679, + 495961757, + 946239955, + 951110700, + 635692265, + 638733275, + 523034547, + 270170060, + 176176685, + 464868997, + 207747432, + 384114607, + 213360192, + 981343103, + 989411978, + 233422641, + 52743857, + 266265581, + 882385364, + 373901795, + 442754959, + 712637475, + 942717089, + 436979741, + 119973885, + 518232031, + 361787235, + 865114612, + 669324901, + 722184178, + 449407700, + 926770376, + 239135421, + 646863344, + 647424430, + 199929780, + 630678664, + 730753813, + 669606316, + 941728093, + 289220509, + 961730804, + 221118303, + 191606279, + 540519488, + 911549861, + 651201851, + 248220506, + 592002144, + 700251091, + 676149078, + 765059241, + 447163597, + 698128332, + 441675287, + 524887240, + 362660747, + 818686551, + 311135748, + 572118866, + 50348120, + 375027109, + 129060903, + 188204331, + 401495535, + 548402737, + 597909772, + 154738593, + 501978247, + 75497922, + 531125509, + 522424763, + 387120410, + 80991319, + 145992817, + 414911864, + 908415508, + 604818991, + 671971133, + 257887476, + 580614800, + 256081929, + 465767796, + 336666592, + 619264450, + 978377566, + 331410846, + 776757454, + 112378559, + 353723463, + 537086039, + 340475233, + 426551119, + 870871743, + 792042357, + 446693688, + 699308152, + 397090404, + 917368509, + 123244638, + 709271821, + 31317846, + 778768114, + 193436130, + 319754581, + 688152158, + 42907572, + 276374555, + 684901691, + 599749199, + 198999352, + 643635748, + 905971109, + 497426910, + 541316160, + 423172950, + 382308075, + 472653752, + 401270869, + 263917611, + 108112938, + 116119988, + 92030357, + 448961697, + 475933273, + 635576191, + 706529205, + 913815188, + 97026737, + 298105391, + 200630330, + 563974127, + 665894228, + 771789930, + 335189091, + 932675460, + 245109190, + 954144590, + 111764029, + 87259038, + 927270956, + 577332967, + 961293261, + 877446777, + 221786662, + 995889637, + 103046914, + 13374837, + 9951030, + 78193920, + 222070476, + 788706335, + 998681924, + 991560456, + 236265923, + 87801365, + 988850730, + 931459995, + 355482124, + 718476829, + 266259213, + 756577433, + 465105046, + 359645455, + 7659797, + 535226398, + 334631435, + 108721311, + 177128296, + 144683452, + 5605871, + 897872379, + 309475626, + 886083578, + 614884048, + 574891095, + 930870716, + 497803592, + 665001558, + 598008696, + 871707146, + 404867185, + 719113143, + 394559664, + 855735751, + 476335461, + 443167010, + 808904222, + 771331144, + 336600897, + 354682543, + 139017524, + 526638542, + 388088256, + 931166137, + 671239029, + 314680981, + 789009685, + 882633555, + 443120402, + 418636548, + 575602291, + 376119951, + 147359313, + 524979928, + 585843505, + 979484570, + 173995122, + 411490488, + 381434216, + 996802045, + 324286182, + 56114924, + 156392706, + 236585398, + 387106833, + 627964805, + 89776524, + 222703108, + 576013674, + 427946340, + 571834139, + 640990276, + 20479070, + 287393434, + 263630620, + 443073543, + 267257563, + 930163418, + 207263299, + 88584343, + 933860925, + 164594583, + 655490408, + 779857460, + 35422972, + 545424208, + 411077519, + 730079621, + 602406179, + 633752343, + 100392185, + 790381015, + 781077979, + 388130139, + 899292607, + 246679037, + 463359007, + 168183311, + 343019612, + 251038146, + 401698784, + 954485658, + 468434864, + 937246231, + 368753760, + 622357520, + 123194228, + 306226315, + 204593728, + 920651185, + 511561748, + 429885517, + 621160493, + 160451437, + 550463504, + 418186155, + 372071083, + 260248888, + 5494280, + 95451107, + 665254658, + 569771685, + 169082994, + 627733508, + 703560845, + 558644009, + 124999435, + 685806424, + 944595738, + 300114459, + 439703411, + 383200646, + 30560137, + 188832866, + 477974859, + 248477500, + 611107312, + 163782526, + 71611869, + 411667841, + 138824377, + 513343085, + 342433968, + 439895397, + 449459063, + 595597073, + 780612645, + 138528734, + 647465383, + 500714889, + 283807455, + 593745869, + 652790020, + 503244154, + 935605403, + 105152606, + 355177408, + 684886492, + 58578783, + 309323166, + 261004854, + 642381128, + 229195082, + 717289808, + 120409039, + 349882190, + 507555872, + 319327843, + 150760517, + 331732418, + 421111333, + 895742259, + 207763607, + 824576537, + 915937807, + 739597646, + 44938763, + 696800601, + 508095499, + 901773323, + 329665174, + 867025050, + 270870520, + 943381448, + 568187532, + 571639427, + 537051746, + 187223660, + 333340328, + 203234869, + 401437601, + 626020633, + 436436405, + 854808964, + 743153565, + 50050625, + 344250320, + 285765006, + 732300026, + 516768804, + 328406692, + 219729883, + 495247959, + 487924416, + 199697640, + 691513803, + 52206199, + 979364501, + 769619673, + 792627237, + 54991797, + 934017793, + 235944992, + 799577557, + 164686674, + 656185153, + 340812523, + 897026370, + 494043493, + 835247913, + 937875022, + 764137132, + 212867171, + 593392606, + 742822058, + 405075918, + 330018085, + 19012513, + 39175933, + 922188877, + 529876284, + 119529634, + 132791624, + 856769245, + 340540352, + 551070169, + 135096531, + 980635837, + 92227989, + 318592562, + 369270415, + 176412454, + 278590522, + 765762163, + 225696387, + 16098896, + 960324187, + 800546140, + 568803513, + 859636975, + 633283170, + 999868021, + 108527470, + 321137211, + 426868186, + 190256050, + 763322258, + 106246438, + 417004030, + 766654439, + 579528639, + 676646021, + 44573347, + 106571229, + 143307583, + 843397445, + 646972455, + 192040006, + 956718742, + 463540838, + 525393499, + 314800375, + 172227552, + 812446416, + 934099741, + 92992272, + 135991901, + 697439443, + 147634296, + 364639915, + 336411246, + 307510484, + 992195291, + 208456570, + 961672896, + 497537435, + 727019600, + 466568334, + 190511341, + 242866514, + 423102815, + 244846636, + 686405830, + 577200419, + 327152894, + 716698405, + 257164338, + 305854396, + 532982082, + 102169837, + 847479456, + 1463516, + 724595824, + 690033865, + 155241340, + 605278974, + 573963099, + 185419309, + 376672571, + 998217133, + 864962329, + 937607000, + 938926840, + 342892469, + 283953964, + 596158941, + 621339421, + 324625489, + 192521687, + 50251134, + 347195544, + 637574060, + 858677971, + 965471889, + 679541469, + 867137991, + 12231743, + 422732257, + 563594320, + 862820743, + 923305171, + 336037442, + 52363561, + 896767714, + 981194847, + 395607533, + 65393263, + 910211722, + 631015918, + 544353662, + 477361151, + 70094985, + 663451520, + 359938172, + 351997405, + 393990740, + 540024070, + 823558602, + 916455075, + 208738565, + 187613650, + 983026112, + 406056892, + 732907413, + 753980017, + 398634150, + 132919179, + 348686279, + 853577402, + 982612353, + 695452351, + 601463683, + 956914494, + 306054210, + 946405828, + 509141333, + 85800210, + 707814336, + 277990868, + 40573923, + 851667830, + 490123087, + 353284481, + 300291260, + 194215100, + 437309786, + 434676994, + 551322104, + 45317912, + 8566484, + 525501348, + 188640616, + 944419377, + 518031303, + 349197502, + 375413130, + 234859288, + 106168944, + 561919233, + 57050827, + 212362707, + 903347756, + 568335685, + 221457297, + 893850586, + 476598572, + 754617776, + 747260956, + 377009558, + 32444232, + 510207118, + 51232386, + 825790409, + 986773371, + 342103945, + 872684265, + 341516595, + 104055475, + 781256631, + 510067989, + 893538312, + 680874835, + 330051498, + 414194225, + 9537288, + 625358849, + 778782154, + 758451953, + 818074709, + 596366998, + 115730375, + 928546471, + 637163471, + 645085995, + 502483758, + 857842705, + 871454449, + 549495247, + 468390062, + 380595794, + 56061279, + 867729794, + 478318160, + 907739766, + 519953633, + 383446543, + 349879651, + 478309078, + 155862074, + 50481308, + 684306874, + 836516087, + 244582643, + 511488353, + 828729109, + 174130139, + 116051796, + 334730746, + 468547629, + 940740626, + 406339184, + 264075255, + 498566052, + 816978621, + 931375284, + 165321962, + 376850347, + 202349298, + 273374401, + 747095341, + 317197240, + 390756102, + 481754064, + 679740924, + 763207086, + 455957681, + 96541121, + 30895441, + 936508598, + 613884776, + 395756905, + 858807495, + 825847630, + 233792634, + 907858246, + 648391728, + 287537715, + 287299385, + 256675259, + 764798013, + 253587483, + 64555099, + 705438811, + 514681865, + 287891596, + 207584478, + 992546403, + 828930743, + 164338242, + 173704530, + 922728997, + 62696677, + 169393577, + 67794467, + 791400223, + 340249134, + 992939015, + 409132802, + 235200548, + 696618389, + 998390251, + 21478345, + 268060698, + 614248441, + 518952245, + 76836983, + 107110025, + 945139664, + 867374185, + 518434943, + 328071955, + 317661597, + 119817732, + 482630315, + 830767917, + 552557989, + 430017755, + 176401823, + 281607352, + 168148672, + 164002698, + 383747428, + 734344972, + 11831573, + 685005062, + 590339725, + 381808394, + 835804854, + 754757989, + 572932384, + 37348917, + 438145139, + 29885359, + 130512541, + 784571007, + 603230196, + 825323092, + 380853543, + 774526196, + 367188519, + 487886529, + 316449540, + 464412600, + 228305629, + 542076333, + 388725457, + 758292653, + 906438411, + 166142311, + 342510148, + 573303577, + 483226232, + 939378657, + 371297594, + 955270910, + 629204003, + 445102069, + 729959664, + 251459111, + 11390805, + 849389094, + 577203722, + 200356904, + 49847588, + 4660955, + 316379197, + 940365548, + 207241759, + 956242498, + 118746087, + 967756565, + 599567019, + 35737964, + 488504269, + 680551297, + 88226899, + 422932269, + 149264479, + 638866420, + 926451147, + 84190583, + 472774837, + 794746507, + 996187962, + 301578632, + 12322883, + 176853066, + 397802237, + 637477921, + 853846808, + 909801890, + 495589689, + 106404951, + 594550643, + 516377894, + 104601394, + 383484810, + 239261252, + 908652911, + 388296339, + 130575885, + 150016599, + 968577081, + 784335442, + 511700456, + 140807577, + 756983509, + 106869192, + 727830224, + 522178760, + 383845795, + 705641930, + 782330882, + 585255942, + 711360056, + 452757102, + 70007627, + 103237576, + 133521689, + 877409364, + 260384557, + 220663215, + 404991986, + 401292750, + 704775188, + 565690084, + 453222842, + 838699590, + 919739834, + 388838909, + 412854860, + 682260286, + 912216964, + 671401135, + 249114555, + 75308912, + 823548990, + 64464154, + 622606058, + 424297936, + 652961301, + 816966743, + 49671577, + 375040470, + 728236001, + 348776007, + 300192796, + 403150955, + 934496527, + 719715101, + 240285357, + 840516745, + 987019640, + 8993223, + 227616323, + 793455557, + 874570293, + 448034759, + 586233370, + 969071200, + 690872480, + 697307806, + 194851897, + 117083801, + 234123297, + 697694032, + 751766756, + 654990531, + 236255227, + 587449596, + 482946765, + 539420237, + 532777052, + 727465759, + 921233759, + 635783396, + 531148478, + 506626906, + 306002554, + 115400598, + 60727943, + 568268633, + 201926561, + 130100084, + 104679676, + 970339027, + 74873134, + 735321803, + 775417333, + 754714327, + 621700221, + 859878566, + 916348489, + 222840659, + 866610098, + 154017673, + 478454727, + 982396664, + 283730058, + 852281777, + 70375151, + 537748221, + 514611239, + 817953204, + 197199106, + 845650, + 270137412, + 398145215, + 506796983, + 307644596, + 200682561, + 516649832, + 390866867, + 549198437, + 216719139, + 625995184, + 490630786, + 743600438, + 598934362, + 952461000, + 873278670, + 381797277, + 306225462, + 91875109, + 669545961, + 806527540, + 668206158, + 25693322, + 825769718, + 40770674, + 991238149, + 879532120, + 529581580, + 246610803, + 863193314, + 509394447, + 874127999, + 471637386, + 187110897, + 530462652, + 512995187, + 47390857, + 821560434, + 544409795, + 755025474, + 17995561, + 60503482, + 29397594, + 160185457, + 915040400, + 645162521, + 740373606, + 43563618, + 422310037, + 941301130, + 379766982, + 788994120, + 54584797, + 183751691, + 198341560, + 847328407, + 560369208, + 491618087, + 368208691, + 328109816, + 896398885, + 779647341, + 42068480, + 569486358, + 256856182, + 188983388, + 318035855, + 35163314, + 510484132, + 923179367, + 254914740, + 673284963, + 997031485, + 218089033, + 292517541, + 331156816, + 26700019, + 619499006, + 591593308, + 750513843, + 33192773, + 401887017, + 208404341, + 201792872, + 793423977, + 259603376, + 64805980, + 958079717, + 860136264, + 609659466, + 199539657, + 566874885, + 216741099, + 333733522, + 43701398, + 170809043, + 8406500, + 542001473, + 989186301, + 249060621, + 901167915, + 219330955, + 855724670, + 290792705, + 658288815, + 875898561, + 522679861, + 263923689, + 40406907, + 498353176, + 499525708, + 773841100, + 322312641, + 229793585, + 575989643, + 795981136, + 879459912, + 897923518, + 61658420, + 600625790, + 842937304, + 288551817, + 118946563, + 585198898, + 743233730, + 488348911, + 514513485, + 802877807, + 505579032, + 682963670, + 867909104, + 575720932, + 30027139, + 38685395, + 423374943, + 299912739, + 193860743, + 246494144, + 415917187, + 692561471, + 545405312, + 690071802, + 775700364, + 332103230, + 178961871, + 751044790, + 505942250, + 90088473, + 90295823, + 101190101, + 537346178, + 42958098, + 420978435, + 821707012, + 41512310, + 595261991, + 192851643, + 316833754, + 9164808, + 829537081, + 796587527, + 139144497, + 627498379, + 121760483, + 808985396, + 630864295, + 46890266, + 526023161, + 268808958, + 765420344, + 651238717, + 352332360, + 807082412, + 524737331, + 366945072, + 752843678, + 694040815, + 973287908, + 611421769, + 877627600, + 161254104, + 303825985, + 152189123, + 149333640, + 892108082, + 559602034, + 897996229, + 110191757, + 831132346, + 156608796, + 367013069, + 23548953, + 252920325, + 304913606, + 79033785, + 645497065, + 741727287, + 816798529, + 455679219, + 527290470, + 620234123, + 734344153, + 825781427, + 754830175, + 493307676, + 595147282, + 557360365, + 693049081, + 386695992, + 842764724, + 234442491, + 663771397, + 212066399, + 814462964, + 642291926, + 974634090, + 450930570, + 955748811, + 295937688, + 109766009, + 602138409, + 365088093, + 241763017, + 604171561, + 58461573, + 422682138, + 790576133, + 27799324, + 129099389, + 107694995, + 101900569, + 135537987, + 20498999, + 20712856, + 836280102, + 91742329, + 788712295, + 520582297, + 152983320, + 194028455, + 503101157, + 300262150, + 382417713, + 541482929, + 176191185, + 717977402, + 962125626, + 651908612, + 937833893, + 746482496, + 378452468, + 793921833, + 907428216, + 68217207, + 483927679, + 299226269, + 914669896, + 352393813, + 400119856, + 59583791, + 973196041, + 351309612, + 256683234, + 87376762, + 951340438, + 233272729, + 909061106, + 25623133, + 800077487, + 842764539, + 317785732, + 880512653, + 922446014, + 545651681, + 848503470, + 324949980, + 531944588, + 133349987, + 859675250, + 666406836, + 935180429, + 65727043, + 51392136, + 161537274, + 937703440, + 777227880, + 699922236, + 557108229, + 298808654, + 511722185, + 803608600, + 520680441, + 531591169, + 707010573, + 451762535, + 696474535, + 733396932, + 102689447, + 770001564, + 202891432, + 146375615, + 661847260, + 738189058, + 499204821, + 585682460, + 475211524, + 352282041, + 120904561, + 141039482, + 859843258, + 918964438, + 321171654, + 672005068, + 527262040, + 590005098, + 372245837, + 49827646, + 185477892, + 656368221, + 113242497, + 252986841, + 260310604, + 800722117, + 408083827, + 770783592, + 960207916, + 223992292, + 691900446, + 686861703, + 734044485, + 529888819, + 245476135, + 380171123, + 413005194, + 614341337, + 697068440, + 69111229, + 384176175, + 62236706, + 848847479, + 743067995, + 582192179, + 946397335, + 339929927, + 107157466, + 202621527, + 995486504, + 25659031, + 153324480, + 323391425, + 88804685, + 626513679, + 846793120, + 3268397, + 279179087, + 51350447, + 177601071, + 942545265, + 748923131, + 997298647, + 39963159, + 217108968, + 834279534, + 599694537, + 527119547, + 896623442, + 522904506, + 995747008, + 711740861, + 250607089, + 277067488, + 605560465, + 872466106, + 859222633, + 490493753, + 584402430, + 808600743, + 203366278, + 235976247, + 831499416, + 683157226, + 574917111, + 389527069, + 392822265, + 116036641, + 887845854, + 575282759, + 938874963, + 249210075, + 386594226, + 427459603, + 888397737, + 770189818, + 896661769, + 961039484, + 512683449, + 182181458, + 133305052, + 420971339, + 975949962, + 963822753, + 465882191, + 888351755, + 980820202, + 434567016, + 83159802, + 951003403, + 593818782, + 795548028, + 249144711, + 436476958, + 887244216, + 220594204, + 285362175, + 555798596, + 551185624, + 817086740, + 168428707, + 565669042, + 109309326, + 764158541, + 147599081, + 757169353, + 368415519, + 187948778, + 662668636, + 962331746, + 31411209, + 903866562, + 764367662, + 32266332, + 998680142, + 905993366, + 881377287, + 447489279, + 929667176, + 605808333, + 313308148, + 931202524, + 755706584, + 468572381, + 661154578, + 422885901, + 985066119, + 259392055, + 715605981, + 691930195, + 578525092, + 193951978, + 564986310, + 546843356, + 982823358, + 302947773, + 934740238, + 772427320, + 376518106, + 487052449, + 834896345, + 522182021, + 512137815, + 203290456, + 988262238, + 243321610, + 65395719, + 937967426, + 251820179, + 878862448, + 313647597, + 710188941, + 744430980, + 262873983, + 382581354, + 483793652, + 966167134, + 454672540, + 603560964, + 496567002, + 57418472, + 155775015, + 298144749, + 70530864, + 627121724, + 978021432, + 259084339, + 771667254, + 410197351, + 851058314, + 508394068, + 395686592, + 884167093, + 228734216, + 813862959, + 492406519, + 733345739, + 890134012, + 430625402, + 771989841, + 219063473, + 861199642, + 290812323, + 362743253, + 968210658, + 665812989, + 860182076, + 897581612, + 892806546, + 368217542, + 50585846, + 489330075, + 475140295, + 292425777, + 815684349, + 524714945, + 403843171, + 661546694, + 808321047, + 380143415, + 808513913, + 608896910, + 68288018, + 671152877, + 813281019, + 161980917, + 985375716, + 683363408, + 33528621, + 121953146, + 710551179, + 109512912, + 30453370, + 204181811, + 487495666, + 807713103, + 16812347, + 223445027, + 418206430, + 239979147, + 180710487, + 881046851, + 854749419, + 970827678, + 875165836, + 711885551, + 39935301, + 329377761, + 623519755, + 391210881, + 778625669, + 408985570, + 230948175, + 876475828, + 561731448, + 114720131, + 775479818, + 409174963, + 544193243, + 791763111, + 825837796, + 587853306, + 376459581, + 928242149, + 931557965, + 454987596, + 271897160, + 432073460, + 713711246, + 662380940, + 854541634, + 260219666, + 204445964, + 226967495, + 377760066, + 127781480, + 317396543, + 859329970, + 860322569, + 312793692, + 288862621, + 566534384, + 495605340, + 253416494, + 22485406, + 916218669, + 36148853, + 987666353, + 722443503, + 491969169, + 511181617, + 301163356, + 240123050, + 291497002, + 470860625, + 196586958, + 724871839, + 269902921, + 509695338, + 994580936, + 195878185, + 252698762, + 383498623, + 526484220, + 860888449, + 483488101, + 367976718, + 358641458, + 991454752, + 896010816, + 610256749, + 445540683, + 829712360, + 623657508, + 43214394, + 203869932, + 655619939, + 390970332, + 761100917, + 551532571, + 638609046, + 817072285, + 478400132, + 905733616, + 390204651, + 221286127, + 706408102, + 592828284, + 109404140, + 504611593, + 786066588, + 822444205, + 214567436, + 626713788, + 766218811, + 503924314, + 144468557, + 410057676, + 78432340, + 463652904, + 919436762, + 7267547, + 827696233, + 501169246, + 770410963, + 418240975, + 925065541, + 498270350, + 852097302, + 92144512, + 47163368, + 476431603, + 782697020, + 56130633, + 702241384, + 511388604, + 44202274, + 102441626, + 655121174, + 373856936, + 863958642, + 306114029, + 214373056, + 930961082, + 459126646, + 532693217, + 939024679, + 295847335, + 857303302, + 546847724, + 996656312, + 964035068, + 61155429, + 874163837, + 967738396, + 462870825, + 749609417, + 976936072, + 293001686, + 922925001, + 933320893, + 120586264, + 969569606, + 370196895, + 550987575, + 700558445, + 737509686, + 913120696, + 980661687, + 351857235, + 657524423, + 879095665, + 712044116, + 421189749, + 961376020, + 197674601, + 332444503, + 29268879, + 548769473, + 841416900, + 365897362, + 304006658, + 994424024, + 681744639, + 852423799, + 692725492, + 650071634, + 353598672, + 582734445, + 59112425, + 167662921, + 556817956, + 951552368, + 149448561, + 285223431, + 336031973, + 735958317, + 187328065, + 694696467, + 550556455, + 539451632, + 818019469, + 322852472, + 539982498, + 441909878, + 249743032, + 649083201, + 239320146, + 822368152, + 256066142, + 810415292, + 600706487, + 356783213, + 137975220, + 823759932, + 237654746, + 819316343, + 523287383, + 683761280, + 518493081, + 458671312, + 935424461, + 303712075, + 813055887, + 796547080, + 424753129, + 433938372, + 413497422, + 706650821, + 384266408, + 382194283, + 244454367, + 779684575, + 519278024, + 696073833, + 800308633, + 145205148, + 242069381, + 962596183, + 799265584, + 157646502, + 133955185, + 34225419, + 904303175, + 413030071, + 556497231, + 211919791, + 669420893, + 291968135, + 847619445, + 213634913, + 172223040, + 518789313, + 271617852, + 688275349, + 774809343, + 266405182, + 384591280, + 932600535, + 76918990, + 294536932, + 102204115, + 805782558, + 472153789, + 773089799, + 796691033, + 238203420, + 984770197, + 381463597, + 294395489, + 236231500, + 884748462, + 999181679, + 551274047, + 29066335, + 679596976, + 426214477, + 710576411, + 473669405, + 710823549, + 933716672, + 481888016, + 215651816, + 922656198, + 813551400, + 861580839, + 679976137, + 896932601, + 525367858, + 251554773, + 740223814, + 417000211, + 977382053, + 856353099, + 826231075, + 206181023, + 712235123, + 752101838, + 415073546, + 764329435, + 919677405, + 199724673, + 10266011, + 184051679, + 533291145, + 306317256, + 15832081, + 19002639, + 340242785, + 934737897, + 728945572, + 737830033, + 544671398, + 511706922, + 363857603, + 394512149, + 294677095, + 845622480, + 875275261, + 197131912, + 219904494, + 517737234, + 561588125, + 878429394, + 573126199, + 300426930, + 223176198, + 488304644, + 985860245, + 811079253, + 775061071, + 95537550, + 11461466, + 329019433, + 35548906, + 707846081, + 339468059, + 899312108, + 670291070, + 564042697, + 631733792, + 85895521, + 350174517, + 602868888, + 483445557, + 329421764, + 791188720, + 628580633, + 84513481, + 776585214, + 410105813, + 894426827, + 166923388, + 563432259, + 258635461, + 583766384, + 352431406, + 114625381, + 253379166, + 789903333, + 773335597, + 530638740, + 754959445, + 287419732, + 245298125, + 406323121, + 329318066, + 152865065, + 790757089, + 774611428, + 262519327, + 226307566, + 751792949, + 573534881, + 318011362, + 268081259, + 79602833, + 397690184, + 559537131, + 251267124, + 790626568, + 343718614, + 747530913, + 281917551, + 714994147, + 704179829, + 256859237, + 994808626, + 559804099, + 587082266, + 719203955, + 542321112, + 564055583, + 125244477, + 778785985, + 26863704, + 817747752, + 481096483, + 515528217, + 284514308, + 681917482, + 462236281, + 372210690, + 893631536, + 528653705, + 828005134, + 439970808, + 366886743, + 790853343, + 857438457, + 39898329, + 889485297, + 299017624, + 968749646, + 219996524, + 488772580, + 247897050, + 664474829, + 744579916, + 551212016, + 273711854, + 164391024, + 480973094, + 295503984, + 749297848, + 521190829, + 215699547, + 740122570, + 862406838, + 580459008, + 516780202, + 157946400, + 547922722, + 771719944, + 66350978, + 368882925, + 153998828, + 208985844, + 833489372, + 809821021, + 767027687, + 846278204, + 939448353, + 878823205, + 5353537, + 92853765, + 93543950, + 755099266, + 24607469, + 456326230, + 135381382, + 581079985, + 421883520, + 268672369, + 415778603, + 776936203, + 933568578, + 620078526, + 498973700, + 402542391, + 408132709, + 208397700, + 864141877, + 662819293, + 447004243, + 287624088, + 185247212, + 909228233, + 451971606, + 366480460, + 827115342, + 796611427, + 437630325, + 752279854, + 773006887, + 513489028, + 903549507, + 718670909, + 666242890, + 769190443, + 79358299, + 346866669, + 420138557, + 643385097, + 256708654, + 326869611, + 984292668, + 994609407, + 91761327, + 917864072, + 719861185, + 937640167, + 362576759, + 379394941, + 792557224, + 730437679, + 554015363, + 699935169, + 43380670, + 126421303, + 446890186, + 420050502, + 147567534, + 152443587, + 526024500, + 448306614, + 781029867, + 71334941, + 531653875, + 930150246, + 276504212, + 391699558, + 102753666, + 272924101, + 211971299, + 472376751, + 365339686, + 796184871, + 396912492, + 521507250, + 980033572, + 341261891, + 492433306, + 994072857, + 196988021, + 154933582, + 132454670, + 153156669, + 516666071, + 188259256, + 318537751, + 832983449, + 183180283, + 348724839, + 123939559, + 240269660, + 671374486, + 670329580, + 109005998, + 638784625, + 168146428, + 593962710, + 797316704, + 972163843, + 123698364, + 332329826, + 319797197, + 551582880, + 480910230, + 219603972, + 58630968, + 669058279, + 879345297, + 926679278, + 748969192, + 331839551, + 942225758, + 820532041, + 81975577, + 896183107, + 320076347, + 535755276, + 166574183, + 646395998, + 267453749, + 627210047, + 491938561, + 179327004, + 901105616, + 332346054, + 265224077, + 417623325, + 948516376, + 130227618, + 62626809, + 853257867, + 449278164, + 470878471, + 101896365, + 181047309, + 620674919, + 923145329, + 523616717, + 681166080, + 925437187, + 411317826, + 310190975, + 45054023, + 458322376, + 242937382, + 341746628, + 541523510, + 159242023, + 536955164, + 345091432, + 707944153, + 428880969, + 61820856, + 907614502, + 610998302, + 969622216, + 708436587, + 284362469, + 399773050, + 120345577, + 163885348, + 63810671, + 643978311, + 933493090, + 623411637, + 269405142, + 522485355, + 581135279, + 477248287, + 837641582, + 432587184, + 210967815, + 193787924, + 980477485, + 999340608, + 559822950, + 568570895, + 679690966, + 817412484, + 739194430, + 837943024, + 996090892, + 689181481, + 752396295, + 616741775, + 799163500, + 213113822, + 885530390, + 556286291, + 972012262, + 690437318, + 276517027, + 648166940, + 454266724, + 546599173, + 70806194, + 260179687, + 797380664, + 91815707, + 275575120, + 493206352, + 271592680, + 138993624, + 800066480, + 172560588, + 682598259, + 52549243, + 248816778, + 219497863, + 486188312, + 616014162, + 595066904, + 774917782, + 193164329, + 466245873, + 773489672, + 49677799, + 393598007, + 130941553, + 294017382, + 599837450, + 600174737, + 419473709, + 800093447, + 146398794, + 221862802, + 115477655, + 874630146, + 945090957, + 984729159, + 737371630, + 407764031, + 107395658, + 770456863, + 165488265, + 125237298, + 729001975, + 733689657, + 895392660, + 873182777, + 457470011, + 54519899, + 81174309, + 877917475, + 580680533, + 114700810, + 232451205, + 893903274, + 140671826, + 944809029, + 211349171, + 209602159, + 30899679, + 195346577, + 558482715, + 705102692, + 205482411, + 988031701, + 492234574, + 278736646, + 489121534, + 380802867, + 968077799, + 591605627, + 695678589, + 257451706, + 166097982, + 709852710, + 534426192, + 735396168, + 565822587, + 668130671, + 667183151, + 302838634, + 771092163, + 977912341, + 922106281, + 711075598, + 490569517, + 324611600, + 864172701, + 973971862, + 264537924, + 494449240, + 914053625, + 359936709, + 997679405, + 96848986, + 357084425, + 946675465, + 477374592, + 80245409, + 486634846, + 16766509, + 178172184, + 764963973, + 226597971, + 515711325, + 514907545, + 853630161, + 153520727, + 492410530, + 20739920, + 890789966, + 501098408, + 749287354, + 669032557, + 316218600, + 227778411, + 352452378, + 388363135, + 203335386, + 570118496, + 233793898, + 340745049, + 593750139, + 215010279, + 629545653, + 587836558, + 773418104, + 291906682, + 833810625, + 896710719, + 738310296, + 964405146, + 567370034, + 75089973, + 580549066, + 223017896, + 125113636, + 225348481, + 152529636, + 796502886, + 559716296, + 2222269, + 132566944, + 865913789, + 134394174, + 269348648, + 400426130, + 617319114, + 882800692, + 889849041, + 211853210, + 80486080, + 263819895, + 574165112, + 270184220, + 839342925, + 563051107, + 332244023, + 798887623, + 305958482, + 457869145, + 895283237, + 458289441, + 975812363, + 917028200, + 410538450, + 282707901, + 12030940, + 636379190, + 770184073, + 381047912, + 744124991, + 322632216, + 70936069, + 819271669, + 897812537, + 297466135, + 505381010, + 509359685, + 185892060, + 578666497, + 583701353, + 399095640, + 268958728, + 86670985, + 112770388, + 294777865, + 175820256, + 767881892, + 223753451, + 725303232, + 126169511, + 231929192, + 289982983, + 695571312, + 551103075, + 139489389, + 134246638, + 16460073, + 155237454, + 998532506, + 404183891, + 782990240, + 185699880, + 638841387, + 122230407, + 644400303, + 104282199, + 192822721, + 448445164, + 878640635, + 388075775, + 386278677, + 626875132, + 222866530, + 413333070, + 964303501, + 128160185, + 516322720, + 324502458, + 696198787, + 635755290, + 73198684, + 20970567, + 806278601, + 642646214, + 422818264, + 703358271, + 226329391, + 645426755, + 706569030, + 533556446, + 36127794, + 688158289, + 717717696, + 720353671, + 285298676, + 660840993, + 486699597, + 249452758, + 253894938, + 99922323, + 443052312, + 329931885, + 128552456, + 346543509, + 383161337, + 679345517, + 718354571, + 104035849, + 318442168, + 605144710, + 632992537, + 992462693, + 911055492, + 437340596, + 251988060, + 513245953, + 116722268, + 94278331, + 4296564, + 655783790, + 585753148, + 202374858, + 867532748, + 745197883, + 638989246, + 675127021, + 845956304, + 752971272, + 471136199, + 388743258, + 928961709, + 432160143, + 852004265, + 738573704, + 687584393, + 917478399, + 581609550, + 862201927, + 230218639, + 125022592, + 53432964, + 171085346, + 359182694, + 593781794, + 442701106, + 675832293, + 328065314, + 850598875, + 788276208, + 28235250, + 498195705, + 165715245, + 436019611, + 468183632, + 156476707, + 992442842, + 346119894, + 543163167, + 963343597, + 875767689, + 486243289, + 394379451, + 451299435, + 561964427, + 822460608, + 943054869, + 809187016, + 643075819, + 530964793, + 522275597, + 165030019, + 268042364, + 35130547, + 911383724, + 56668181, + 991982055, + 355910513, + 433034299, + 84186695, + 816810798, + 193081739, + 999531861, + 7667839, + 553669564, + 235040730, + 167679886, + 246668294, + 983449860, + 628699349, + 300947189, + 413383936, + 61752514, + 450673969, + 656650164, + 259065573, + 747506276, + 932364798, + 395040892, + 709370188, + 893361798, + 423817546, + 427680144, + 386563780, + 662631997, + 357427275, + 721000558, + 954658615, + 41010602, + 141500226, + 111598960, + 978754862, + 122886065, + 54908717, + 626615728, + 748350909, + 449067253, + 675511338, + 667172974, + 120479113, + 281284923, + 996845583, + 744953143, + 351568982, + 854245614, + 183948898, + 946321469, + 715649457, + 862649430, + 944557543, + 180462372, + 317159030, + 64383304, + 689339549, + 778930311, + 961728511, + 367683508, + 280071935, + 223167784, + 774352192, + 980417749, + 765868351, + 220458526, + 329073876, + 933916996, + 478636996, + 29270526, + 641989580, + 339608168, + 478486647, + 518125030, + 310409803, + 519822096, + 702799253, + 209765417, + 216468950, + 529181985, + 363176620, + 825155402, + 597897583, + 294755383, + 992038850, + 456530831, + 352301019, + 92974336, + 750291000, + 773724598, + 249276123, + 663284095, + 426964751, + 623227601, + 851401743, + 965523968, + 833507438, + 644373089, + 201559426, + 503726864, + 218978319, + 45044194, + 624622217, + 846744854, + 448288429, + 439326916, + 289919036, + 106214901, + 877973184, + 398013301, + 105412462, + 592433358, + 495720875, + 416934512, + 142918608, + 112513779, + 205053927, + 962237786, + 143588995, + 900496223, + 771700798, + 920239004, + 188322652, + 360933493, + 951501412, + 442901666, + 247589695, + 907861601, + 441692331, + 223801429, + 617060424, + 977440136, + 353803807, + 498025320, + 584186765, + 35682688, + 411230757, + 918913281, + 909671649, + 814677533, + 381065813, + 785486562, + 570347964, + 837659306, + 158808211, + 837321122, + 749014283, + 694580733, + 998475286, + 189906478, + 351568128, + 524922822, + 524166563, + 972438552, + 613498827, + 749570717, + 131756808, + 687499688, + 633895985, + 69976946, + 963890141, + 894000711, + 118909168, + 173422419, + 983500190, + 761403340, + 183362071, + 328241286, + 942405600, + 303267976, + 925272324, + 900241925, + 670757519, + 656540170, + 276561463, + 326712656, + 336837618, + 477459249, + 914293526, + 535947995, + 349338377, + 843745600, + 687363750, + 447408319, + 984372132, + 586919004, + 182066373, + 462723750, + 22872947, + 577227527, + 348151056, + 977264946, + 166931403, + 652541759, + 178514674, + 72487560, + 39901528, + 362915499, + 957589049, + 378586079, + 159331652, + 564994925, + 227812999, + 777232632, + 838140481, + 543184493, + 52076992, + 895701, + 981490615, + 646924103, + 61657228, + 719040791, + 655105741, + 843883901, + 589584547, + 287291299, + 994674140, + 441878332, + 787553934, + 222176606, + 241842962, + 63200767, + 671898328, + 284159658, + 141605787, + 496699656, + 723789705, + 327045112, + 540660107, + 741815534, + 170510038, + 348119969, + 53328802, + 645702221, + 734664904, + 264977334, + 576307572, + 313726919, + 35196688, + 95551387, + 854125934, + 636699947, + 210356234, + 867269240, + 901870048, + 855396188, + 338956692, + 401997432, + 25967920, + 69316581, + 113645370, + 820689430, + 973553693, + 711752511, + 795562426, + 288654896, + 239474062, + 492311617, + 108695744, + 456434274, + 700386211, + 866693390, + 677160770, + 727066391, + 328415347, + 225395586, + 560205534, + 58180139, + 479459501, + 221041539, + 810635555, + 381809670, + 204752422, + 67110934, + 146743552, + 195211028, + 276119066, + 935121482, + 665931915, + 328594844, + 36491200, + 640268046, + 185755509, + 776279469, + 783898079, + 724547407, + 660982540, + 115162069, + 529071803, + 244953709, + 117032672, + 219257407, + 566451240, + 660863408, + 499935440, + 468344459, + 82620887, + 944609109, + 218244955, + 32283990, + 3207286, + 947764773, + 909240766, + 937055611, + 734149398, + 271877098, + 490404546, + 211734652, + 20024230, + 372545904, + 519031231, + 767166124, + 966550809, + 227315980, + 155700295, + 311904303, + 184894297, + 259739853, + 688342636, + 701535987, + 112047754, + 456278218, + 114132524, + 215171595, + 45989576, + 335534291, + 363443926, + 494129232, + 335409663, + 101247308, + 167261650, + 42762182, + 55352506, + 11764276, + 556445915, + 679920194, + 866499751, + 6991811, + 184654273, + 542653730, + 841948541, + 177315823, + 918694704, + 27249612, + 269849091, + 489052604, + 196855267, + 867127973, + 761425860, + 942094338, + 620558416, + 152237381, + 529605906, + 328031377, + 9218698, + 891162852, + 305803192, + 305087356, + 61901359, + 496422745, + 382710807, + 19143006, + 812579371, + 801617161, + 906854680, + 214305178, + 986399988, + 349988483, + 470172702, + 905817944, + 131710881, + 167648804, + 841778880, + 192159101, + 827547703, + 634913802, + 967383307, + 274745823, + 589322372, + 363260351, + 747943926, + 675275635, + 834583262, + 718312420, + 182474047, + 143104522, + 757926346, + 313333695, + 322883359, + 705422516, + 167305014, + 666567468, + 404011475, + 724539797, + 688904814, + 310898074, + 814934513, + 449855024, + 806543590, + 673497337, + 774739108, + 589278564, + 692617398, + 323523308, + 472949518, + 643629624, + 667358645, + 525307255, + 737074954, + 771960162, + 986184023, + 422094352, + 468520228, + 576571461, + 311231604, + 404982617, + 69880918, + 629568850, + 865200689, + 337373929, + 295412461, + 588033030, + 703252432, + 435417875, + 295581366, + 507723282, + 942775208, + 645611423, + 267860760, + 15337383, + 943760025, + 736493088, + 30780639, + 936817749, + 789295913, + 47224596, + 88597360, + 499846292, + 639439694, + 71247674, + 9992788, + 660660445, + 631160257, + 620239, + 555834644, + 485398529, + 103539004, + 369882946, + 624334025, + 924095222, + 921020984, + 176466465, + 100747493, + 247487155, + 715895679, + 62535495, + 552321402, + 822375464, + 203651681, + 442988171, + 345938539, + 754602971, + 927572096, + 772219944, + 404169830, + 101102230, + 446258164, + 625477800, + 669049923, + 830459510, + 112061175, + 577656212, + 804010017, + 440257220, + 289858339, + 786790378, + 663236701, + 604311798, + 275413207, + 708999955, + 189262728, + 283164009, + 275115922, + 334377355, + 997591831, + 385629393, + 656681007, + 847042014, + 641416831, + 932119109, + 360300013, + 993611935, + 556818239, + 952590781, + 510242946, + 583792067, + 490562526, + 275366315, + 697994737, + 215278485, + 172157343, + 460293635, + 886102411, + 53594931, + 2489252, + 500899515, + 214183283, + 958559677, + 157260586, + 470112862, + 587280712, + 865876352, + 856925326, + 397371046, + 562547650, + 231169480, + 40433049, + 626853753, + 625118291, + 378078233, + 430376597, + 639294788, + 992776848, + 52368936, + 804346912, + 861757127, + 716344018, + 820196419, + 8057324, + 456688345, + 850770653, + 529308949, + 24207663, + 453596898, + 813133511, + 757022390, + 74050225, + 292005482, + 204194272, + 883760801, + 311561543, + 958553838, + 80214820, + 527810997, + 832427278, + 562603227, + 765505956, + 375892105, + 986725482, + 811819208, + 158003462, + 240557182, + 733880901, + 512200588, + 355374891, + 819124938, + 27697807, + 774056067, + 698118340, + 904095150, + 511156198, + 209818731, + 621748190, + 118002313, + 804792089, + 127477, + 739895643, + 302361061, + 735419365, + 654879508, + 153380045, + 661473308, + 588658090, + 442817478, + 173223184, + 476070823, + 710347085, + 932386818, + 874021515, + 654240874, + 124352018, + 791842805, + 216754846, + 801807082, + 29830412, + 158108668, + 164197588, + 581350769, + 678767497, + 190971568, + 224094116, + 271378264, + 428583404, + 518816805, + 870195492, + 810751924, + 286694744, + 778479655, + 407059249, + 360759585, + 98757688, + 305698230, + 545415962, + 735518958, + 727176495, + 437903066, + 786063860, + 530028914, + 559418000, + 28947898, + 508567703, + 191578528, + 10474009, + 220819554, + 557278379, + 594971083, + 904017047, + 828921725, + 706430420, + 874891376, + 27526912, + 542553184, + 527113732, + 241406420, + 616254952, + 577109508, + 262741913, + 223137581, + 656866375, + 249564534, + 112613371, + 787605116, + 126614585, + 955827486, + 370447122, + 278639425, + 484329, + 426287230, + 622559892, + 646025601, + 460921293, + 690776279, + 491330254, + 124045605, + 681548016, + 819001323, + 20057659, + 638674020, + 497917072, + 235768359, + 467115818, + 206149435, + 156892351, + 766546038, + 996541093, + 129463523, + 884284834, + 935306796, + 431565773, + 500681550, + 261792861, + 753291082, + 948301176, + 268035519, + 163106294, + 916948628, + 354898974, + 219933438, + 236592294, + 693006256, + 188285530, + 206355267, + 178978202, + 884206349, + 69687580, + 985795894, + 331610062, + 111664829, + 416817188, + 377402297, + 299442172, + 344890482, + 696229612, + 263360782, + 996625339, + 221474509, + 297995066, + 595769889, + 208042473, + 410470680, + 500515397, + 499989380, + 706669129, + 814985458, + 759077123, + 263493292, + 699170037, + 631339993, + 253633610, + 673192124, + 675153141, + 874958993, + 37008724, + 711343196, + 613401322, + 852648143, + 600678990, + 192394648, + 51380980, + 829820044, + 894915171, + 847149398, + 860985105, + 605447682, + 142829439, + 20193112, + 398855510, + 410702835, + 806976249, + 502955234, + 489964236, + 998431646, + 920991916, + 139015393, + 636790415, + 978489841, + 749580590, + 243184338, + 112588051, + 425231137, + 510066260, + 731698381, + 889502629, + 242625057, + 657241337, + 526938482, + 176143480, + 312508964, + 478147944, + 392967815, + 61867452, + 738099801, + 806995199, + 28148513, + 334041363, + 526994652, + 549523512, + 997330143, + 647203687, + 590394654, + 318388976, + 762861552, + 664472564, + 219924447, + 332483135, + 478404589, + 454506275, + 555239576, + 611009977, + 664994653, + 565399650, + 550644317, + 651817697, + 990580966, + 872172148, + 778173761, + 127493417, + 946517596, + 971821630, + 991518081, + 484533600, + 873710238, + 768278376, + 610970377, + 444471745, + 802122109, + 289559545, + 53692899, + 84198386, + 88979806, + 967806712, + 206892122, + 75939707, + 755808621, + 248474676, + 436137086, + 891079738, + 811733611, + 744072298, + 32439052, + 548305781, + 283647264, + 55200538, + 724422252, + 800358284, + 531016959, + 501470485, + 935251647, + 830909481, + 892557521, + 273232579, + 575399940, + 913241549, + 992301788, + 771887932, + 969566616, + 300056777, + 33027736, + 975420829, + 841222812, + 572343830, + 346788874, + 721287826, + 294625586, + 604646283, + 780128537, + 392076861, + 139362064, + 250657742, + 870803342, + 309935086, + 376093361, + 245163505, + 170388143, + 816448783, + 340979164, + 554358651, + 371377783, + 465152588, + 908135407, + 494658147, + 121791944, + 645611620, + 582822942, + 818214185, + 134241336, + 353206920, + 343114124, + 326255233, + 649106459, + 489165018, + 233153938, + 685605118, + 211485005, + 447450089, + 285024179, + 195241537, + 565056018, + 246324474, + 132907079, + 731327708, + 176019591, + 219547312, + 632887307, + 775792115, + 95889334, + 617462687, + 118422240, + 881714259, + 359904982, + 534443588, + 361941965, + 601011066, + 19152667, + 953768602, + 385249628, + 339896257, + 939834422, + 601880479, + 40700547, + 323048022, + 957326118, + 805975658, + 727097429, + 912537037, + 79310161, + 888873514, + 236679939, + 144834296, + 555877519, + 258273497, + 117582904, + 983278122, + 595211525, + 945227383, + 907062005, + 395049156, + 820361411, + 493387429, + 588956513, + 39714758, + 601891195, + 450393111, + 813911734, + 661918883, + 139466027, + 359814867, + 263450008, + 213494868, + 395076209, + 223693248, + 994099272, + 308686372, + 362186690, + 187179680, + 484417252, + 441646315, + 502952031, + 288255039, + 337438545, + 38857252, + 11799186, + 712908756, + 50904556, + 69639046, + 155995327, + 96157440, + 635963592, + 371780164, + 37520382, + 443480608, + 710939489, + 759085732, + 906222952, + 140007168, + 838758451, + 493094423, + 853477895, + 793640028, + 253765299, + 129229440, + 607351012, + 535035005, + 923353901, + 355140445, + 955579327, + 496811034, + 301502339, + 840610700, + 219380006, + 100220383, + 646030967, + 301643694, + 504969823, + 366188601, + 949179021, + 312511339, + 468984024, + 478105334, + 278045498, + 395881531, + 694835154, + 101712731, + 737040035, + 99905163, + 267056637, + 601786518, + 136249352, + 228647165, + 76088369, + 308669737, + 274645567, + 76231167, + 650842107, + 177273533, + 390541831, + 315853188, + 458698482, + 862432231, + 651299469, + 772351625, + 496172954, + 434273998, + 623443386, + 407681939, + 460978329, + 472032575, + 578294801, + 951734031, + 814997775, + 121899461, + 531317607, + 987058322, + 232519090, + 982546151, + 920045591, + 140511203, + 755837030, + 701754928, + 802310336, + 672168874, + 99741713, + 261312495, + 264869930, + 336371467, + 753080039, + 937520766, + 138934044, + 332960014, + 743445692, + 139055284, + 494595886, + 335395673, + 519169752, + 603537709, + 914846993, + 754532808, + 384628026, + 204867798, + 356837423, + 362795446, + 933100334, + 468106281, + 562887088, + 832500809, + 984723757, + 309292029, + 302777636, + 762940997, + 859182498, + 463467917, + 105321213, + 54985471, + 839279794, + 263374397, + 107429858, + 972148947, + 922410684, + 660763770, + 844363642, + 456461716, + 439363063, + 770433373, + 1417753, + 96317378, + 720084812, + 662508277, + 824171486, + 107475608, + 701768363, + 249390976, + 669283116, + 586425300, + 702342692, + 243790459, + 245960695, + 656946889, + 744763795, + 661193474, + 803720756, + 649770505, + 213887785, + 41089897, + 797862045, + 273588905, + 217114848, + 357889603, + 127756619, + 188937683, + 917491244, + 464365607, + 976448096, + 701516983, + 302462356, + 57602382, + 645130507, + 675469545, + 858621811, + 819486668, + 750634579, + 196530735, + 570863568, + 261871813, + 286548526, + 441157270, + 371153461, + 443277117, + 563537775, + 363696273, + 494551943, + 939506113, + 692882022, + 320427364, + 204599404, + 655916406, + 879950460, + 108348520, + 871580316, + 633618504, + 896359204, + 679702914, + 448350085, + 207275270, + 919654100, + 982626997, + 52329222, + 636235147, + 221223082, + 326059345, + 404316320, + 757495426, + 134140786, + 863715451, + 25201970, + 631359077, + 161453992, + 427546327, + 103466596, + 785678344, + 711293690, + 31536692, + 270984375, + 212341308, + 883885024, + 299622932, + 438504416, + 238473964, + 32935297, + 359080417, + 254612763, + 182411867, + 314556471, + 288722054, + 400619833, + 405171111, + 557603721, + 801636532, + 328343224, + 141141921, + 271952298, + 988934438, + 577375719, + 624587101, + 769860801, + 819329174, + 632820525, + 637881046, + 242326192, + 598341118, + 699040149, + 685705025, + 581449529, + 18602552, + 171407868, + 691266286, + 722576152, + 562897587, + 679172454, + 383661719, + 176029747, + 299774287, + 720594048, + 189866900, + 3984142, + 512905887, + 791918569, + 509950363, + 508852782, + 339852949, + 973192598, + 834715119, + 403450280, + 25584717, + 686904464, + 767084432, + 24396485, + 42434761, + 90138536, + 286760949, + 912593686, + 59814451, + 138347163, + 19201776, + 420863997, + 714522176, + 241866978, + 456230245, + 4528682, + 517250456, + 854467403, + 765724934, + 556372603, + 709702275, + 443864959, + 410318209, + 550877613, + 253107307, + 680346108, + 248150350, + 640762850, + 135451228, + 907722613, + 399661689, + 748150228, + 117177457, + 440750283, + 673876283, + 188648874, + 172568866, + 230438631, + 746940000, + 118842486, + 224081645, + 741016444, + 968345642, + 963670447, + 415519105, + 89169867, + 887685073, + 744356177, + 920055415, + 246619445, + 891571441, + 348138997, + 315720491, + 341695393, + 582932781, + 230597498, + 810390489, + 714609552, + 825865668, + 896556045, + 767326619, + 437688846, + 135498886, + 168422509, + 235823186, + 956796056, + 160416668, + 533704085, + 59903191, + 916076026, + 585551355, + 204320993, + 189501701, + 164473007, + 854246696, + 564102667, + 202538389, + 553226576, + 155902965, + 231103295, + 290075301, + 797898168, + 553018877, + 406020713, + 109054901, + 104504049, + 816557830, + 831468947, + 708315999, + 802406183, + 418204134, + 891692840, + 786748545, + 771824375, + 238944438, + 818080487, + 402621486, + 496172317, + 542110697, + 143321570, + 337569097, + 463361946, + 999107757, + 461559300, + 506390479, + 562547167, + 861648039, + 386466507, + 166634189, + 969173429, + 209377606, + 50763384, + 532913236, + 88577727, + 33809533, + 657342657, + 777676882, + 6401302, + 41984805, + 451605115, + 525041225, + 698687170, + 887666480, + 841538404, + 443886390, + 421539125, + 932434209, + 255025236, + 57063758, + 212549696, + 220241061, + 558250560, + 756442511, + 956202486, + 705850527, + 502128718, + 722600006, + 26665731, + 301194501, + 893771741, + 17536631, + 194166516, + 265265083, + 173725555, + 648339216, + 346697943, + 603537529, + 844452241, + 265232685, + 328970815, + 933677449, + 19404256, + 956411069, + 527982430, + 22041086, + 142709929, + 693468734, + 351748984, + 552648273, + 588417636, + 382972484, + 765775291, + 52497928, + 453675760, + 631800592, + 256564591, + 300127942, + 972099832, + 309874812, + 223682015, + 690792026, + 342795520, + 556531897, + 836635526, + 439368379, + 21649523, + 467709699, + 806958719, + 241996791, + 515663175, + 39325315, + 830342504, + 726913695, + 690841957, + 457918223, + 880904737, + 549589852, + 612413421, + 475321702, + 322765138, + 147471558, + 886896445, + 798388500, + 298413844, + 546376948, + 210589724, + 389892434, + 620127692, + 28363001, + 742750505, + 614452928, + 74742464, + 999315754, + 570207098, + 114397329, + 774393905, + 136187306, + 275515992, + 776296003, + 2864113, + 711334087, + 262286133, + 306959544, + 18516733, + 437230890, + 640221503, + 486969561, + 433991256, + 516741707, + 980973944, + 146334787, + 44797735, + 994651776, + 50221544, + 91798450, + 304522266, + 157948551, + 353186649, + 98892189, + 64362155, + 132907984, + 461130008, + 17075932, + 878446764, + 570523433, + 457457680, + 895598755, + 374559411, + 903312440, + 429577018, + 525323712, + 152819652, + 432330364, + 193109046, + 109800758, + 848466094, + 909911386, + 962875284, + 619017693, + 890625699, + 565335848, + 126844206, + 916804286, + 379769066, + 136778820, + 17857559, + 624946121, + 260161453, + 464055999, + 113734199, + 148861681, + 239178161, + 539977570, + 468346890, + 779485957, + 217827913, + 738904037, + 109009094, + 193259237, + 209371104, + 104284876, + 994714651, + 69807734, + 237140423, + 795626915, + 470350423, + 621758541, + 8003794, + 911530840, + 176935074, + 913807547, + 582411415, + 751265917, + 989451829, + 197998463, + 8317038, + 599474465, + 279199919, + 487323218, + 21386752, + 936271012, + 23042345, + 376027103, + 421118601, + 768640274, + 184239161, + 157866672, + 628673029, + 659279293, + 591145005, + 58312144, + 420843028, + 763862992, + 571713235, + 911460944, + 694001543, + 594082542, + 383030232, + 792502732, + 572771185, + 403347361, + 252904736, + 706213094, + 92262739, + 645273186, + 323358538, + 614295601, + 967331890, + 214391285, + 499410179, + 889866767, + 15502582, + 587425995, + 163077395, + 740023846, + 33168729, + 204529541, + 410459690, + 39360683, + 205902288, + 261178856, + 573498091, + 677668637, + 833560110, + 272759826, + 781930829, + 882654392, + 319579828, + 203413948, + 725664625, + 526328245, + 180604572, + 886568902, + 852119305, + 348417880, + 768560433, + 581082098, + 746185909, + 145021289, + 844105775, + 582296634, + 212463008, + 80871768, + 828284303, + 524540516, + 337809383, + 273883655, + 13090504, + 211394396, + 944261926, + 78498162, + 47024161, + 109673128, + 42598639, + 29547248, + 311918130, + 400464295, + 445507337, + 22727708, + 666047420, + 452000946, + 185098222, + 434951807, + 372389615, + 434857591, + 992786030, + 634432553, + 60308056, + 906952631, + 277194079, + 659043672, + 763175007, + 477211565, + 362902436, + 756246484, + 369104895, + 723673851, + 157404699, + 738120182, + 999387121, + 329654278, + 963098152, + 406351880, + 544915269, + 879079838, + 932976359, + 478384699, + 752794669, + 951450797, + 267733394, + 935553427, + 397002660, + 557606834, + 444705668, + 650315692, + 74763654, + 810107730, + 11810701, + 131683672, + 479213397, + 633700557, + 783052714, + 237451712, + 998578604, + 23714871, + 586686638, + 260773767, + 402721708, + 397571405, + 872559166, + 333605832, + 976721352, + 887262991, + 26786076, + 565267798, + 517120720, + 842483579, + 175200806, + 685113315, + 186883802, + 27939032, + 129089384, + 418926634, + 876846466, + 438868506, + 62843661, + 606423792, + 569434867, + 725475205, + 256412494, + 1339948, + 718399109, + 577414596, + 967657410, + 164704622, + 246769505, + 563788533, + 338213641, + 887013994, + 595802577, + 605322210, + 16422056, + 380118947, + 451100359, + 648441431, + 705243318, + 819715230, + 625282049, + 555234838, + 566455098, + 175648281, + 493591835, + 739003271, + 602610139, + 506208292, + 907265212, + 415666079, + 213661953, + 59107965, + 761951793, + 255184265, + 473043218, + 852885030, + 145489181, + 502576969, + 796183292, + 22207498, + 115736872, + 704584424, + 319370084, + 154849744, + 174166910, + 273547898, + 638232869, + 192004621, + 611892830, + 872176572, + 602220690, + 300759799, + 821896943, + 349249622, + 856194353, + 424656517, + 228176179, + 511850408, + 311455871, + 250131351, + 897075604, + 869609614, + 649018761, + 595984422, + 887175282, + 588084682, + 8811775, + 578977043, + 762894983, + 202618649, + 488865500, + 447747209, + 509010545, + 825193593, + 273744241, + 499146846, + 147255257, + 45725285, + 86545108, + 572755715, + 297431453, + 94722824, + 378944715, + 779477956, + 977181830, + 435713357, + 577050463, + 142378245, + 679207691, + 362576227, + 877529158, + 487468658, + 801732091, + 14128923, + 398076287, + 117690076, + 658395878, + 196556255, + 599437958, + 942091884, + 435917417, + 177244239, + 763635195, + 47209859, + 548917447, + 221810682, + 644590859, + 842781373, + 304754915, + 875857566, + 168782272, + 809599609, + 855536254, + 687706729, + 929073658, + 228058790, + 118953571, + 663284928, + 935480625, + 273278755, + 92069202, + 218633529, + 923215189, + 134018078, + 168877088, + 812529636, + 434819979, + 430082965, + 860505636, + 820381237, + 409303894, + 434323284, + 665013721, + 647861575, + 746981751, + 429484365, + 890581277, + 479444956, + 497844347, + 90267805, + 419228046, + 514766174, + 346480837, + 408025143, + 587179290, + 524423163, + 214190250, + 97583272, + 992493680, + 559539842, + 171375888, + 378820084, + 47206471, + 579527851, + 356068260, + 162699553, + 441525836, + 438658777, + 153650270, + 618447193, + 242078095, + 101081467, + 139084962, + 554790883, + 30625269, + 746796880, + 929976901, + 590111786, + 726979268, + 600286405, + 154538076, + 334112403, + 696532337, + 1077015, + 618521238, + 695196842, + 869541730, + 378717921, + 748062712, + 126253823, + 782811046, + 291873211, + 277453099, + 778938695, + 846283566, + 935221786, + 209042564, + 730033820, + 755437777, + 218112551, + 409481901, + 368484037, + 896162187, + 536195631, + 932579581, + 558011253, + 110910120, + 381251541, + 699269212, + 798456558, + 887406129, + 842215228, + 643152261, + 767109372, + 26762558, + 497813620, + 998342961, + 382414263, + 606090593, + 157268542, + 879097191, + 212746217, + 977819610, + 125573414, + 178718049, + 177997110, + 584705337, + 477159193, + 669001614, + 25041540, + 174643978, + 760107346, + 992674848, + 779220743, + 827550477, + 978249947, + 390220975, + 329848185, + 918869414, + 592560505, + 860747249, + 107762257, + 898690241, + 807914501, + 514767281, + 507008176, + 329101999, + 779334267, + 400044936, + 762993047, + 369514973, + 295382622, + 892268415, + 481738056, + 517877701, + 825338825, + 970696129, + 668864083, + 593155499, + 382218773, + 812127623, + 838783189, + 51322216, + 385900355, + 762510790, + 349934365, + 208324328, + 699119185, + 780516503, + 643235373, + 219751442, + 687312596, + 441587503, + 396550978, + 401276436, + 381831681, + 406209023, + 589705358, + 288906247, + 74987055, + 414927852, + 934748697, + 909116694, + 706654917, + 212542034, + 716505783, + 147041000, + 371844038, + 38896367, + 443169252, + 234812857, + 716954362, + 945941011, + 537070895, + 498004912, + 729989546, + 462645041, + 811747484, + 850933087, + 218968896, + 376537858, + 289037058, + 657083837, + 874004972, + 17678804, + 439065922, + 637197974, + 3430469, + 424829115, + 385124487, + 431650963, + 750032551, + 445471856, + 414463000, + 657277426, + 356836194, + 693648341, + 500245352, + 995509877, + 763517870, + 642651086, + 325030865, + 85166635, + 884532587, + 921232590, + 816674057, + 37582465, + 782690727, + 608399503, + 602167210, + 378834005, + 888391837, + 367475510, + 113495717, + 70990586, + 348112483, + 125840684, + 226707321, + 264584017, + 827046332, + 709982105, + 453627211, + 307123827, + 959009945, + 593170069, + 96725357, + 460833174, + 876021010, + 577282566, + 881534381, + 322033030, + 699104063, + 571250404, + 308070503, + 870012640, + 687311003, + 280032042, + 432999299, + 85326454, + 242481354, + 222377979, + 902143893, + 947209039, + 226025946, + 740943849, + 413226785, + 799931928, + 66938196, + 726785487, + 507093729, + 50330490, + 129662188, + 376451399, + 995681940, + 225737484, + 393751056, + 721231554, + 803229382, + 53194261, + 359775605, + 187634186, + 946745313, + 573527133, + 234167251, + 149972314, + 488966889, + 833931935, + 178881112, + 361362022, + 910509140, + 604868478, + 555268623, + 593821293, + 706641164, + 126389386, + 194151412, + 316328656, + 141709613, + 886665858, + 252139757, + 208463176, + 159376730, + 172124186, + 940854926, + 783926630, + 692332734, + 379943196, + 830330795, + 304555320, + 185795500, + 365223336, + 245155436, + 262885216, + 293102674, + 130281234, + 203447665, + 562322487, + 227468982, + 393666365, + 925215790, + 569163533, + 811120920, + 794309094, + 933802469, + 255339696, + 984129773, + 92450081, + 178348046, + 206563091, + 639447306, + 698080218, + 232540253, + 862062096, + 297483934, + 68184301, + 295146476, + 717600998, + 187765279, + 697970541, + 240889913, + 904184012, + 54504519, + 373807650, + 860523204, + 974813891, + 561852923, + 247270914, + 630327673, + 416836525, + 80840158, + 121609071, + 726835292, + 617984446, + 663909321, + 940017907, + 926253781, + 957969212, + 288669252, + 599379374, + 590585063, + 500792025, + 466011950, + 333883191, + 140540858, + 336674347, + 190345724, + 495947866, + 100176728, + 725467764, + 428906362, + 535729055, + 690857381, + 648858391, + 277548172, + 489841941, + 608757268, + 87794427, + 289734714, + 830969769, + 114107720, + 684968894, + 632499617, + 702206203, + 691109888, + 320889185, + 105253442, + 892882482, + 474291687, + 430830526, + 76971150, + 229508241, + 102343427, + 244140534, + 423376506, + 801613087, + 52775791, + 754726978, + 790072357, + 323651834, + 53314129, + 438667195, + 127866193, + 277422155, + 615801550, + 856384450, + 776902459, + 690077440, + 825054819, + 316188158, + 902852027, + 458792737, + 281490613, + 785462375, + 139675566, + 475083866, + 189682146, + 875289467, + 358185787, + 472984899, + 168152706, + 788004676, + 820428316, + 30549218, + 742463350, + 64428483, + 535316292, + 844229717, + 793912811, + 265412523, + 325971711, + 193405244, + 731144498, + 618429665, + 431879052, + 670584997, + 85261190, + 49373171, + 322266377, + 198465669, + 516826100, + 976106893, + 42217512, + 613929403, + 858774041, + 894803222, + 724168447, + 657443080, + 8549236, + 978124950, + 120661605, + 807395005, + 672062728, + 709755617, + 261193647, + 296548783, + 203123004, + 504684198, + 334158949, + 864028422, + 553033197, + 521966681, + 755842938, + 40405558, + 249566408, + 956040895, + 301564371, + 711247279, + 973468664, + 195023617, + 826941170, + 626914912, + 150502118, + 734858361, + 848662108, + 971330240, + 640882190, + 112871512, + 648790913, + 615987317, + 50702464, + 530775375, + 477931469, + 707875726, + 893731086, + 178075012, + 165545679, + 642285660, + 388651697, + 438300870, + 236067937, + 56816092, + 785397543, + 443965139, + 989269367, + 616277246, + 75278980, + 126532845, + 926765690, + 626462706, + 598311855, + 869233220, + 853131085, + 804389425, + 656688688, + 109817009, + 600432081, + 599560689, + 434330119, + 779358934, + 295525051, + 920579721, + 30995226, + 16916323, + 474383938, + 800516684, + 357607748, + 224956907, + 539294734, + 269766333, + 924926124, + 289684125, + 721706655, + 592687393, + 262491814, + 620485728, + 986498372, + 811342203, + 942261199, + 521214733, + 810647242, + 674064415, + 818029961, + 595677740, + 311547868, + 923030159, + 351456885, + 688740836, + 774014713, + 797582285, + 478247387, + 591340244, + 755418935, + 897657197, + 506693486, + 582265111, + 559838698, + 654491284, + 434276207, + 798263097, + 321536352, + 902745552, + 81909663, + 936937521, + 259355636, + 448503640, + 457740945, + 357035933, + 692526813, + 987694171, + 534600756, + 960623936, + 115888894, + 142863996, + 449635102, + 627842560, + 435103563, + 474934184, + 760437029, + 230260823, + 806614654, + 807708581, + 110411393, + 745384073, + 933731448, + 369646761, + 48531489, + 931146132, + 775640600, + 267345028, + 748291616, + 154764042, + 375562743, + 241470447, + 383894039, + 400338625, + 29903072, + 812454682, + 148278695, + 364175193, + 798776791, + 287827740, + 334542537, + 593396647, + 905932382, + 457747836, + 962155740, + 164515226, + 499299774, + 10015436, + 245931565, + 574006352, + 467196920, + 768901285, + 37760066, + 97072574, + 521029010, + 373748848, + 821454127, + 875240346, + 245342105, + 63575657, + 474122588, + 121214152, + 868235779, + 657183686, + 636770791, + 769344889, + 250421193, + 141349788, + 765707389, + 128158924, + 612234819, + 818397609, + 24511623, + 822562094, + 440456789, + 895510955, + 9852750, + 272556396, + 134687882, + 291163696, + 699958793, + 403743063, + 582033450, + 778734654, + 855697418, + 822636123, + 559309785, + 613673088, + 530519247, + 361042535, + 654444923, + 385904039, + 813297910, + 327235979, + 663838153, + 862197552, + 76449585, + 746779492, + 595223212, + 915070646, + 292723065, + 290775395, + 136050207, + 460140376, + 573988458, + 187493232, + 902871375, + 376997800, + 499235627, + 385152915, + 103668745, + 430454858, + 657863577, + 871647105, + 820996673, + 152039939, + 195987833, + 850759059, + 103425373, + 28922318, + 782340232, + 86388842, + 394632127, + 639789004, + 445875127, + 317388769, + 901144152, + 382517655, + 232949995, + 601269323, + 15122119, + 602635409, + 78252711, + 928822088, + 202016537, + 633082032, + 759458272, + 594645445, + 356842775, + 448984395, + 632264083, + 506098044, + 799766645, + 609019447, + 436875542, + 11462047, + 450733516, + 388540604, + 829753356, + 656089699, + 31084687, + 144536964, + 443874235, + 340787093, + 935330707, + 603735350, + 910810757, + 168344420, + 726527562, + 171976590, + 59046835, + 406506808, + 525606008, + 506691831, + 716383001, + 538170404, + 413143454, + 213388101, + 98247690, + 992759579, + 490271333, + 918411787, + 526374372, + 940147736, + 766306993, + 713206084, + 743670964, + 750412230, + 277621893, + 344601845, + 366514256, + 997462810, + 256359791, + 734856725, + 888005153, + 719730498, + 120070092, + 688612218, + 84080888, + 424060456, + 898273861, + 489469483, + 752240169, + 186313744, + 68568845, + 262165198, + 53938886, + 720316277, + 409102370, + 565431354, + 394532930, + 148940016, + 655242533, + 929726820, + 41376044, + 147170680, + 528204629, + 154595305, + 382545790, + 372671388, + 857192753, + 157354419, + 805913869, + 356679461, + 137117749, + 954324332, + 633788176, + 890445467, + 966729177, + 310954147, + 833773720, + 385693265, + 352529007, + 618213465, + 555662053, + 955972217, + 883118486, + 110340268, + 38034790, + 505708672, + 492246932, + 506276202, + 919693487, + 466178246, + 189215483, + 524639535, + 463247069, + 337810951, + 537479891, + 966961776, + 40780969, + 37336322, + 584694795, + 72893337, + 496182853, + 869752069, + 788278183, + 970657378, + 702029676, + 629773316, + 363278252, + 433079866, + 897744332, + 558940849, + 922387927, + 279017001, + 431411072, + 308011163, + 497512105, + 837328666, + 931283917, + 518541395, + 945170885, + 707387622, + 944479722, + 17919600, + 676711445, + 808533238, + 917457309, + 207936015, + 386391548, + 937017153, + 167137303, + 165274266, + 354649645, + 380128564, + 84517066, + 61768415, + 590658030, + 591665903, + 142058042, + 846153906, + 396890871, + 598712122, + 421092537, + 263014535, + 983425634, + 236845330, + 440640793, + 234615804, + 439856261, + 665496335, + 950727179, + 692405443, + 380543272, + 537250421, + 31996142, + 275088422, + 537353452, + 656240893, + 969985886, + 906230904, + 245803351, + 306937369, + 521679754, + 44300624, + 35528998, + 685932336, + 179382193, + 14347865, + 593127450, + 697491830, + 99425465, + 611447134, + 425919262, + 899351158, + 608115415, + 236959650, + 768071992, + 956428306, + 334818441, + 751663353, + 158841298, + 734432078, + 819525906, + 888504659, + 900381749, + 777540623, + 217224703, + 104447426, + 116054724, + 227342584, + 46276759, + 913151203, + 497687583, + 677403, + 160302570, + 768080248, + 127776183, + 28797918, + 116240180, + 301356089, + 460336715, + 78527329, + 524578260, + 692812458, + 121250876, + 568173438, + 738156583, + 233522775, + 599987478, + 820907947, + 799060974, + 838910971, + 30140179, + 918448559, + 849500990, + 113528562, + 374797795, + 695655578, + 746918688, + 385732829, + 910338706, + 249915200, + 30394365, + 626664496, + 11659149, + 457890061, + 740736119, + 407306161, + 265813560, + 598145488, + 562342082, + 816786296, + 851418824, + 154915299, + 228344323, + 808184250, + 56838203, + 705213790, + 326212626, + 422325556, + 22950164, + 677703694, + 3019282, + 451457497, + 974158612, + 408762295, + 784694852, + 712255448, + 299676204, + 924756691, + 728134740, + 642135287, + 210597931, + 883124389, + 924965957, + 783258697, + 71595694, + 727250118, + 467148416, + 125740707, + 479113347, + 316869714, + 30717866, + 982118842, + 489343847, + 977044589, + 119090510, + 307708818, + 625696004, + 23530062, + 443996739, + 162687358, + 659550591, + 710837783, + 878025368, + 188719872, + 637595529, + 528842839, + 192714305, + 937200855, + 540728922, + 673050154, + 734087360, + 325145565, + 784736664, + 579582576, + 763008528, + 373032337, + 578043323, + 599812887, + 325340862, + 274066433, + 31308094, + 129362893, + 858883932, + 344683035, + 587516760, + 53228499, + 383013525, + 120737840, + 487736954, + 695690415, + 119606250, + 588458258, + 408950274, + 749944463, + 622718322, + 461477205, + 713612938, + 174632056, + 70299054, + 591029812, + 200768712, + 805928948, + 632231372, + 564620915, + 573507717, + 226554701, + 184473955, + 399735244, + 7223393, + 949361599, + 112776749, + 410374285, + 893618674, + 908472643, + 375269081, + 134059671, + 16600084, + 861601781, + 245690502, + 464729641, + 962046502, + 445583539, + 744829353, + 506453651, + 863520462, + 56855334, + 881706238, + 950703026, + 916537396, + 261443106, + 104913796, + 290677616, + 685782818, + 874577268, + 94710204, + 299599267, + 674519200, + 346186234, + 909969009, + 235984718, + 484795850, + 578015525, + 717635958, + 232887365, + 323462094, + 521291367, + 285207051, + 278346037, + 953498883, + 883504890, + 616006254, + 203669814, + 531358179, + 855634523, + 235025580, + 705131314, + 246123860, + 240663489, + 350951470, + 38681221, + 770100540, + 133258713, + 802526501, + 387935237, + 615222342, + 875499077, + 845947402, + 485291492, + 43618225, + 401321593, + 853793018, + 208479109, + 790935798, + 511665169, + 56664604, + 363864836, + 267890696, + 274599221, + 582653669, + 585416240, + 126508837, + 367025832, + 274113841, + 673064395, + 714186880, + 688936050, + 89279536, + 267119390, + 542822265, + 106001723, + 30662879, + 769586747, + 886480502, + 440506889, + 911833553, + 300723781, + 78486651, + 831809276, + 128510119, + 431851907, + 289528963, + 138644244, + 757891627, + 648566083, + 295045003, + 293589568, + 88629454, + 304933013, + 521221527, + 446040659, + 97129190, + 329619277, + 372011983, + 486349528, + 928180901, + 259454053, + 371389147, + 495444298, + 474558742, + 420543219, + 767700737, + 280369292, + 331061750, + 460939722, + 106672120, + 43620907, + 548248447, + 102628085, + 497380929, + 865733651, + 114849146, + 572758714, + 13577351, + 975629584, + 29523472, + 883077939, + 158868632, + 300722618, + 685460150, + 986158379, + 47564819, + 139705909, + 939469952, + 362391155, + 464598163, + 79363692, + 983580727, + 351350179, + 307674682, + 386970754, + 245108838, + 50234617, + 235068712, + 509594566, + 258167014, + 596064130, + 828050299, + 491944781, + 460041950, + 839141334, + 856806323, + 665188007, + 623432512, + 869189487, + 97842526, + 943622895, + 324381850, + 640036930, + 835397391, + 209892214, + 758033562, + 470769723, + 726013237, + 900063986, + 106894372, + 906893238, + 120825864, + 836945311, + 981549454, + 428904988, + 929308913, + 291702381, + 756338381, + 309548644, + 812450990, + 504109998, + 810125681, + 653369839, + 272557886, + 246887379, + 713046433, + 301325067, + 639354785, + 158503068, + 459516842, + 856074168, + 878204054, + 36557164, + 360834290, + 746496195, + 222289435, + 916750059, + 929237605, + 260534918, + 454325284, + 487492004, + 367828863, + 842001647, + 913021341, + 329741659, + 789779145, + 189750510, + 977519230, + 208409728, + 767607703, + 167659925, + 855883328, + 546580728, + 58874333, + 95628512, + 81751841, + 43801027, + 244823849, + 421706868, + 689197966, + 843929874, + 812199386, + 287995818, + 875217883, + 827259568, + 24790200, + 991884476, + 541682905, + 952531414, + 96677249, + 117916622, + 883011830, + 860020903, + 847643064, + 158521955, + 205587302, + 838529161, + 162888620, + 681789504, + 664261695, + 522810810, + 998448385, + 220613870, + 308088518, + 560054332, + 178877802, + 725840018, + 456215807, + 847476751, + 238085923, + 182248870, + 985172964, + 783711673, + 361328101, + 716461129, + 477774976, + 417413864, + 373145342, + 17150855, + 43509979, + 274627562, + 554792502, + 893356104, + 559075715, + 135343297, + 873183618, + 445273288, + 569469879, + 245873584, + 363363981, + 834943680, + 347605172, + 872968365, + 527869044, + 694815665, + 153125420, + 637355791, + 896939249, + 915728807, + 27444900, + 922033563, + 921855882, + 277301690, + 575481005, + 162153756, + 163853329, + 481201045, + 296155141, + 756457708, + 901060185, + 195675794, + 217936692, + 364493024, + 61434761, + 131126362, + 870470561, + 189890544, + 641774036, + 46517980, + 119321179, + 596736714, + 228459721, + 485118487, + 242049107, + 126196134, + 32531433, + 103725996, + 301048872, + 349849034, + 564862110, + 620500446, + 324710666, + 795335813, + 335956172, + 267308978, + 828861281, + 142996589, + 498222481, + 547238399, + 635896867, + 677138856, + 470748401, + 733404382, + 351376008, + 72515190, + 207772873, + 11343098, + 808023433, + 29443396, + 58826960, + 796825727, + 717225597, + 439769447, + 995125173, + 356683897, + 194635318, + 373718443, + 605798583, + 727624925, + 783191294, + 489409286, + 201492433, + 57641990, + 359569956, + 819104147, + 795664636, + 740950742, + 168674752, + 589488128, + 324083733, + 300024243, + 40737812, + 324882906, + 856273590, + 303522106, + 279567373, + 945909377, + 459488216, + 930067298, + 179099437, + 519374885, + 454963991, + 42420956, + 4116859, + 150911745, + 227226597, + 109139706, + 7815158, + 196679091, + 415587897, + 38659132, + 760895434, + 492302112, + 704190548, + 281591460, + 209294963, + 227692270, + 821198676, + 57634937, + 903870702, + 659928947, + 835732760, + 914797490, + 346688632, + 377931500, + 611022676, + 985773875, + 556835727, + 339897172, + 337649660, + 595569966, + 512647760, + 135836986, + 11332383, + 613223796, + 527161435, + 45621716, + 614596364, + 49358072, + 28683833, + 666541122, + 536325044, + 584664389, + 788706559, + 862532560, + 953836857, + 105542615, + 373555542, + 546021439, + 320088626, + 357621387, + 721822377, + 509490610, + 4655898, + 350200894, + 619829527, + 347366158, + 363249662, + 325973020, + 237572053, + 692304724, + 392515816, + 378416444, + 290118225, + 331539116, + 19414523, + 860198111, + 213598105, + 382821394, + 166131399, + 802371177, + 889486248, + 77770993, + 757710861, + 604427207, + 217662356, + 563923889, + 250179316, + 463331004, + 862648688, + 992102944, + 401720281, + 886658212, + 837987806, + 389899420, + 979199859, + 912228151, + 439592991, + 976916863, + 290338806, + 20799983, + 748502383, + 516549738, + 392822307, + 959251502, + 563914876, + 27804247, + 601967916, + 191681303, + 656937990, + 572403566, + 609540232, + 460549032, + 922052607, + 742389113, + 21936845, + 349384935, + 369088395, + 723455024, + 624095854, + 1548430, + 445489511, + 167368520, + 171770706, + 470689207, + 565227397, + 876667933, + 400411412, + 261403578, + 910898248, + 286515389, + 529835068, + 203212658, + 614341299, + 702872967, + 430053176, + 466525560, + 777878215, + 702374103, + 3552794, + 450204238, + 409424013, + 318329091, + 585753290, + 624938707, + 164615625, + 892558739, + 191440483, + 230013644, + 238478488, + 887700280, + 196584505, + 305769421, + 871828410, + 452397650, + 807127006, + 922629372, + 358374057, + 406265301, + 605644411, + 75912524, + 764739132, + 85265969, + 649468760, + 196462725, + 346689357, + 510109176, + 528901219, + 286585575, + 293637695, + 811302582, + 59101614, + 151261439, + 519095850, + 517050524, + 631334846, + 321108636, + 811812759, + 971527098, + 253910835, + 879838626, + 549502188, + 332946901, + 79450967, + 631296297, + 215362527, + 133913156, + 586116961, + 35623089, + 6024214, + 860829666, + 788776454, + 653907395, + 319791400, + 67022274, + 552505054, + 770741595, + 126233765, + 631889696, + 480950716, + 83249555, + 694782335, + 140907420, + 470477761, + 765136424, + 448442267, + 785993506, + 200578581, + 541679080, + 198635730, + 858305701, + 891628985, + 9659826, + 504988026, + 237424774, + 915796033, + 968038032, + 524380001, + 178565496, + 901052740, + 822719558, + 231809940, + 41917432, + 519930668, + 356960129, + 300100539, + 847010947, + 990655534, + 728983782, + 172274615, + 78468174, + 677328424, + 544689510, + 19005926, + 337289194, + 667148295, + 951884869, + 155948433, + 497160816, + 944560082, + 401625931, + 325055665, + 137315653, + 542071790, + 209109143, + 751042561, + 415391277, + 113640574, + 887348413, + 610991822, + 252299863, + 93116609, + 330764788, + 803510923, + 655510523, + 608614358, + 818062223, + 273329600, + 527643819, + 635117535, + 633598212, + 438163038, + 242332743, + 831973842, + 780109612, + 737231886, + 315322639, + 97508906, + 881221045, + 553387464, + 713951774, + 461824405, + 480876614, + 874963066, + 878550508, + 443920934, + 695111174, + 127376756, + 914853982, + 907424498, + 184545145, + 341996974, + 245426177, + 58183828, + 515296442, + 327538092, + 217933694, + 971113739, + 407186971, + 580291849, + 377440843, + 235769980, + 295621144, + 357611654, + 554704196, + 128406826, + 829541491, + 30466616, + 257997904, + 370532473, + 618606756, + 936771549, + 204291158, + 803781839, + 897501949, + 171434622, + 673373600, + 670559816, + 694877963, + 590720507, + 902874117, + 301883512, + 518793197, + 671124926, + 881112596, + 770848481, + 315222975, + 663104905, + 494946600, + 564388150, + 97267561, + 372154749, + 518924991, + 303964551, + 900799306, + 740035372, + 142141013, + 107527541, + 848929095, + 182848487, + 655933176, + 125702344, + 675988092, + 111165940, + 495740814, + 30373490, + 815851093, + 449922636, + 64656239, + 29149277, + 26089487, + 581809328, + 226607355, + 848085177, + 705675331, + 613417979, + 16570140, + 506886428, + 123067839, + 719629827, + 795787423, + 598606497, + 967568991, + 899243260, + 271756892, + 700371092, + 25931308, + 26198816, + 403639769, + 767167335, + 602386321, + 931084191, + 88224520, + 38415275, + 926286667, + 392131471, + 910154934, + 11075179, + 420481914, + 442483240, + 72836359, + 698547310, + 246659535, + 864027147, + 791493809, + 684809394, + 76509389, + 366254389, + 34617774, + 978992564, + 626153707, + 546072469, + 591354578, + 598519903, + 761884761, + 457777677, + 212728064, + 15849212, + 4611980, + 964254701, + 82651506, + 73732866, + 392234076, + 802150653, + 487613192, + 944103032, + 816939389, + 604559892, + 759237854, + 260730274, + 35192643, + 89055870, + 386354938, + 848264754, + 946936969, + 843111068, + 323973969, + 806719816, + 980100423, + 98463770, + 758711925, + 886799243, + 164798552, + 41698868, + 436092096, + 619210580, + 667520407, + 36451125, + 909125133, + 821657718, + 238778562, + 377235211, + 721775411, + 456509216, + 462914427, + 518197024, + 88293058, + 932114554, + 313882095, + 312733745, + 872355533, + 263949758, + 388415784, + 305435606, + 28412617, + 319533350, + 94639747, + 762587981, + 666710679, + 83859407, + 542871024, + 271967250, + 148545220, + 353831150, + 791551191, + 125862223, + 362590246, + 323977890, + 115484677, + 6019688, + 512936262, + 717014809, + 82100506, + 227961676, + 557417753, + 745246928, + 68257842, + 323017522, + 773016783, + 736077339, + 12961891, + 602649399, + 731548317, + 372838068, + 846933162, + 626671355, + 210406311, + 925337561, + 665586888, + 968626701, + 892005616, + 540728317, + 413006333, + 355656633, + 966292243, + 96435156, + 973262840, + 100999979, + 600510043, + 97821795, + 170374302, + 647660956, + 539807106, + 986717507, + 293868082, + 349696651, + 819508671, + 878619309, + 944288454, + 936523004, + 309312441, + 875997557, + 749946495, + 280640834, + 87768712, + 956114985, + 166830175, + 105132211, + 95548008, + 380955894, + 387943747, + 811540045, + 336313080, + 698082597, + 498864752, + 758019087, + 832010724, + 950082791, + 629932730, + 808475336, + 860309916, + 351071325, + 238366065, + 935296592, + 3668412, + 938311508, + 126957413, + 355047600, + 865710883, + 323900481, + 288564082, + 565191639, + 935367477, + 788689910, + 870412611, + 537639195, + 698917985, + 386072577, + 7313761, + 290860953, + 515772543, + 959855068, + 954524664, + 8862308, + 798400357, + 842800663, + 917070356, + 383651130, + 577331904, + 148484329, + 17306149, + 342813917, + 614770534, + 659286665, + 874813984, + 152177045, + 554106801, + 839284810, + 962679130, + 575789993, + 8131636, + 783866774, + 841292657, + 645148612, + 91068980, + 88645169, + 558652560, + 226906559, + 527308124, + 17465991, + 430136063, + 383516320, + 869818047, + 802266189, + 76916045, + 564826273, + 532061275, + 892516066, + 89803371, + 883444819, + 929065932, + 8616812, + 359827101, + 232999039, + 693727481, + 735243923, + 435022588, + 295275264, + 728668698, + 898155963, + 963202554, + 403847556, + 230791474, + 877819350, + 905102345, + 169769499, + 213247503, + 340177494, + 90992303, + 245947109, + 109174818, + 958638393, + 121299546, + 504449620, + 234662785, + 553987266, + 341945512, + 714565280, + 175678558, + 773193395, + 1623139, + 574660747, + 103582682, + 276429086, + 346651444, + 157839180, + 617795120, + 148651093, + 593181423, + 740330698, + 209079550, + 923937856, + 12797567, + 126162468, + 886995713, + 968604512, + 740841017, + 243020815, + 700443436, + 807296832, + 194677922, + 117711649, + 732063259, + 710693098, + 832409885, + 873537819, + 297527157, + 181688902, + 152642064, + 862941280, + 292622165, + 351047372, + 64754880, + 569426378, + 190922132, + 294760274, + 470233271, + 438504247, + 993548254, + 471454325, + 901519269, + 734319218, + 349263348, + 478176604, + 866378393, + 745053775, + 744953362, + 844854784, + 615555932, + 387129023, + 294130679, + 969627478, + 805654692, + 731743662, + 124238449, + 461513883, + 868520111, + 14919334, + 94511310, + 29032185, + 731897651, + 817953686, + 256890004, + 971008401, + 514799272, + 448367624, + 650827652, + 985024345, + 52719299, + 843465238, + 658303241, + 636499056, + 996739013, + 756494292, + 680835804, + 697655371, + 718397989, + 17550748, + 355927579, + 956916810, + 890700805, + 433984990, + 473044896, + 275985041, + 445102639, + 419200798, + 524492877, + 891046142, + 907647773, + 242056973, + 483590826, + 665978327, + 121765916, + 557719973, + 533354486, + 925365446, + 226007661, + 5332999, + 423016141, + 420580133, + 102845040, + 163149943, + 873510515, + 862420849, + 97975506, + 215978997, + 220043430, + 983523729, + 753191373, + 593980938, + 839919307, + 296370250, + 375744665, + 705022664, + 775580516, + 196876485, + 76138266, + 128175397, + 945919836, + 125457932, + 426710260, + 506214449, + 727157848, + 978595295, + 545500007, + 34203901, + 797893775, + 541670420, + 737025198, + 298445709, + 871107063, + 532855197, + 224150596, + 75475204, + 272399715, + 168726488, + 207600990, + 708753406, + 561245500, + 86712315, + 727500531, + 398510647, + 524484692, + 465521780, + 953826676, + 175745332, + 401610474, + 14579580, + 529133310, + 288533963, + 833672219, + 955018458, + 81989640, + 271138425, + 674572195, + 671535383, + 235269731, + 862448664, + 504036447, + 51621376, + 945800535, + 6476043, + 573152709, + 865440492, + 719620781, + 114688104, + 809545526, + 751817545, + 742229461, + 489481270, + 33792834, + 632890735, + 505618866, + 360285116, + 386805994, + 892462501, + 104767598, + 269078066, + 514657557, + 514708623, + 996557048, + 260494303, + 814901967, + 616156134, + 118440104, + 765734358, + 428810034, + 209563708, + 447230756, + 235021263, + 14216783, + 553730314, + 288914882, + 491057744, + 339368314, + 864577974, + 528632241, + 34812240, + 243993642, + 338103428, + 312376520, + 899321460, + 590466953, + 297501317, + 688043276, + 540565541, + 124608341, + 839758824, + 356843605, + 614184891, + 317991766, + 596635352, + 286017058, + 609109896, + 480042853, + 574436014, + 58248051, + 106942818, + 996905257, + 121309945, + 225020857, + 555435680, + 30747136, + 928718344, + 708858781, + 993885791, + 170740655, + 960711902, + 291478121, + 643450211, + 829084170, + 215798592, + 857932810, + 575576701, + 113119216, + 560521496, + 409189838, + 319393816, + 585412307, + 425194133, + 27003322, + 362523744, + 729733417, + 646102152, + 423154308, + 936374439, + 146326580, + 385979185, + 103809860, + 387008936, + 464588824, + 213104709, + 684103624, + 217825204, + 797301245, + 405360474, + 802858892, + 293486672, + 873656470, + 133576916, + 120602821, + 739294818, + 528498865, + 415758517, + 326902787, + 483636190, + 119510556, + 141534409, + 665738013, + 212909891, + 517042878, + 203094947, + 983302662, + 78187401, + 31258488, + 63921641, + 56412730, + 794006325, + 52219410, + 634469709, + 425550343, + 52666923, + 4534842, + 299751529, + 678607400, + 390982702, + 935633177, + 355940152, + 678024050, + 841649185, + 218284022, + 22301541, + 226896557, + 421813960, + 420616579, + 865697516, + 56065528, + 19821122, + 508167721, + 756024829, + 546901121, + 991034233, + 176294376, + 872175804, + 482536733, + 498987920, + 59917598, + 863370901, + 511223228, + 583465000, + 613393262, + 198814777, + 487832434, + 961546742, + 547451709, + 795944975, + 829045542, + 941328067, + 248849396, + 505256106, + 138175580, + 522429434, + 449269580, + 793883394, + 113187057, + 976117237, + 783508721, + 909115204, + 470794726, + 181649534, + 573976775, + 253646660, + 781575941, + 425942890, + 109197689, + 746517302, + 789279569, + 142003625, + 424948020, + 223550689, + 645645272, + 193586664, + 27159457, + 148296075, + 275607365, + 927524129, + 412552829, + 548980957, + 935128069, + 419780876, + 852001130, + 956430665, + 48172800, + 673549923, + 941872796, + 886985021, + 609672461, + 794695207, + 671872035, + 305772305, + 234868324, + 726864652, + 931028418, + 539788876, + 867812158, + 183927169, + 75412063, + 634636264, + 924156982, + 708803038, + 496750268, + 877334720, + 477417514, + 99420418, + 857346448, + 765923280, + 804701617, + 339488092, + 61909880, + 679469359, + 126367090, + 654494806, + 751169726, + 737175897, + 166378801, + 155035088, + 17299194, + 709331313, + 308071141, + 180738283, + 793775583, + 19684127, + 19209381, + 243515653, + 930538119, + 842710230, + 17942610, + 264680471, + 506344209, + 56980873, + 210374721, + 304759042, + 746666873, + 838257766, + 839160696, + 64688604, + 95393123, + 927580673, + 550257677, + 352497594, + 790510488, + 734295464, + 854342993, + 999610464, + 620761083, + 767742344, + 235174184, + 874773291, + 624201581, + 815080398, + 188342840, + 371842308, + 939194113, + 852928767, + 652657499, + 817369621, + 614854964, + 453203774, + 551407712, + 699096411, + 705055547, + 780781647, + 321656814, + 385862264, + 85928873, + 300692331, + 678684351, + 120011662, + 735584336, + 527690193, + 790515950, + 868669623, + 603883528, + 217466522, + 855616916, + 660196817, + 845540867, + 273499993, + 254192723, + 694358771, + 666706615, + 645763054, + 286168359, + 727300873, + 532457391, + 43003832, + 170204350, + 422518343, + 947654308, + 574167677, + 645626117, + 945607201, + 542735900, + 685320487, + 366221387, + 230529006, + 409773422, + 472875821, + 709577376, + 801032056, + 740830868, + 51538542, + 469369696, + 77406672, + 813350152, + 552968528, + 673791239, + 225229775, + 205663862, + 786688701, + 176306956, + 422243110, + 527658493, + 510568415, + 682245454, + 592406766, + 847743954, + 820578667, + 830034912, + 373970368, + 806327924, + 566529993, + 516526444, + 285312740, + 886104424, + 809905263, + 623686604, + 426659654, + 645681381, + 232945425, + 68128278, + 909176104, + 161713788, + 644253273, + 588404918, + 828240957, + 150260697, + 328749007, + 476060571, + 114600678, + 135001089, + 673140275, + 365439013, + 416424678, + 644060071, + 864787817, + 613194722, + 393923865, + 866870978, + 889793885, + 861865710, + 102915296, + 256337588, + 614063701, + 767674342, + 716229356, + 150124209, + 968811881, + 564065141, + 375653299, + 527637992, + 48686693, + 150335930, + 378745956, + 212028729, + 732050540, + 862181103, + 340083089, + 414762063, + 959842447, + 833911605, + 983332929, + 353604631, + 44366063, + 687822279, + 888168686, + 238190510, + 808831972, + 563099313, + 967871510, + 845853609, + 66208014, + 36617996, + 938833023, + 222902138, + 488301174, + 692166263, + 139693364, + 205176816, + 921771151, + 930159289, + 481391862, + 557038577, + 465332151, + 482606905, + 996701952, + 66247429, + 727031819, + 311807070, + 73660129, + 111020327, + 145266747, + 240923858, + 131613367, + 302799568, + 548838018, + 876298265, + 645908321, + 964300742, + 276266534, + 621312810, + 721784815, + 500260074, + 619281019, + 683238664, + 868776652, + 707233888, + 832531814, + 280823841, + 674502504, + 90865619, + 913683729, + 842972115, + 945967240, + 926890243, + 760838143, + 655240474, + 286670486, + 514483584, + 816190499, + 666858598, + 435379960, + 313264412, + 336667109, + 373246507, + 282413623, + 442281779, + 276295425, + 267898608, + 189406036, + 599761947, + 99047858, + 804313191, + 814305045, + 967582946, + 92553991, + 965052562, + 223541662, + 133044252, + 895188983, + 43923505, + 820256936, + 8594043, + 740168068, + 492939924, + 711099256, + 218566894, + 944813295, + 424283290, + 61327394, + 626058633, + 741515909, + 712179036, + 653967523, + 715107228, + 751981527, + 3137913, + 918542318, + 725007031, + 520858238, + 69450244, + 839892895, + 155869144, + 937976567, + 39643643, + 644910253, + 868051409, + 885568722, + 393526762, + 229483146, + 70003895, + 64860386, + 887739113, + 128700963, + 758553273, + 271566278, + 816646492, + 418291717, + 944548856, + 399782106, + 831628998, + 376708256, + 812214926, + 470034651, + 31789836, + 28807170, + 374287928, + 776560793, + 764269717, + 799733444, + 748907506, + 380034697, + 895917184, + 404831593, + 183687816, + 745952, + 944191970, + 509268923, + 600980427, + 5085298, + 714547544, + 382406660, + 729990061, + 155344396, + 356028284, + 149528194, + 831015131, + 674678123, + 490489722, + 430065616, + 53570901, + 482246653, + 410184220, + 334612217, + 810601908, + 828203049, + 572410539, + 527657403, + 228224705, + 214139651, + 950886686, + 314580937, + 129067424, + 589263987, + 91603442, + 775722452, + 457016009, + 534903576, + 637161065, + 719531877, + 209424915, + 208069716, + 752095594, + 903274913, + 618476907, + 243974664, + 277212057, + 76885468, + 796375448, + 974645489, + 24556775, + 285338503, + 123154396, + 551747290, + 111568229, + 46999531, + 230863837, + 587333606, + 691557862, + 481543386, + 625537143, + 790306826, + 997033083, + 954250167, + 197159879, + 406987481, + 511246551, + 794438953, + 82295816, + 106753047, + 734799017, + 664600551, + 168249693, + 167157596, + 758413417, + 519373845, + 62559757, + 703076654, + 726147534, + 654504152, + 750182552, + 5264990, + 15922142, + 917974257, + 316831820, + 443996663, + 284087452, + 844875327, + 279146242, + 417926613, + 483629159, + 383181748, + 116237977, + 408538347, + 602146203, + 961904220, + 142700688, + 562814588, + 920263661, + 718640522, + 998173338, + 809140976, + 932469993, + 572186583, + 894547704, + 156069635, + 514345330, + 772451942, + 718237761, + 801885816, + 175146371, + 61598703, + 863247014, + 605820245, + 206981152, + 68404201, + 604116784, + 641547639, + 568741525, + 536934066, + 935590773, + 23653388, + 149106803, + 548946924, + 426149657, + 326692408, + 594743368, + 695108009, + 866838431, + 301511561, + 628519622, + 805310959, + 544911922, + 57886393, + 495120213, + 812554999, + 483002266, + 463016315, + 998417223, + 666747464, + 26515421, + 301017550, + 472342633, + 333022634, + 897247115, + 978458544, + 625752749, + 950263734, + 92310953, + 754996106, + 480528958, + 27722696, + 75653458, + 159238529, + 722627505, + 609465531, + 90252449, + 322310944, + 31642264, + 131515499, + 444705042, + 649074604, + 379237923, + 132195596, + 119998172, + 828962578, + 898593598, + 273412104, + 476024050, + 4691744, + 442569029, + 849636847, + 904622886, + 955571047, + 222935633, + 168794944, + 573115349, + 741911696, + 304202440, + 936926723, + 760321100, + 575543903, + 682718866, + 400328710, + 525289560, + 822239178, + 815183269, + 817713730, + 926901807, + 32127581, + 272993221, + 298745498, + 111813516, + 360645676, + 401403586, + 644223332, + 998249508, + 31600255, + 829507382, + 816246621, + 579917048, + 130089293, + 652837932, + 920066782, + 821334313, + 90514469, + 350411779, + 400131314, + 216197299, + 863952707, + 456280890, + 560188289, + 773206930, + 148650077, + 672029565, + 585208908, + 116431784, + 685210989, + 971178315, + 240010842, + 448516288, + 16254123, + 565203423, + 110907214, + 982732622, + 902708667, + 819433430, + 230416152, + 48752405, + 465763617, + 231065968, + 500581465, + 487572986, + 718193419, + 990965742, + 953416798, + 776457902, + 143368707, + 158913776, + 466462100, + 866263181, + 515896352, + 972975201, + 684560309, + 894291144, + 338949867, + 326373275, + 123112646, + 789189837, + 581926181, + 17732616, + 851344473, + 184711382, + 461032758, + 273594742, + 571678423, + 860215006, + 724749278, + 427702468, + 82506316, + 670945348, + 827789646, + 559117106, + 401369614, + 697218993, + 667648338, + 988268806, + 947038199, + 463646942, + 546115687, + 97510810, + 99569623, + 829736657, + 103305674, + 29229871, + 550005752, + 154579876, + 744489439, + 886664995, + 386125615, + 908051924, + 19736711, + 401271857, + 604399556, + 306617997, + 364652507, + 586968340, + 781873588, + 503104593, + 488002539, + 586410121, + 768846050, + 1568432, + 818992504, + 7660625, + 224557192, + 255343396, + 767900074, + 585557136, + 306599221, + 773730806, + 73353819, + 891720632, + 50908631, + 904627298, + 855529184, + 43126526, + 968407908, + 881762608, + 559155108, + 134192569, + 280792979, + 753461065, + 900957975, + 263234229, + 44208724, + 87645819, + 655477151, + 233967427, + 407749621, + 212623287, + 478618156, + 566917681, + 792173789, + 966169951, + 840914823, + 237786858, + 926234103, + 375473205, + 910693978, + 944084181, + 45421831, + 149547911, + 38207073, + 51686632, + 614707792, + 104856427, + 425021309, + 401633962, + 94751769, + 244941043, + 750126923, + 448097611, + 623233884, + 204095126, + 507432378, + 166202606, + 122524828, + 605197623, + 776785850, + 685650400, + 331841512, + 545711454, + 714010478, + 216636264, + 984384218, + 404488873, + 54131301, + 56062909, + 306998960, + 633046080, + 276267690, + 194603695, + 472147326, + 15185984, + 628611355, + 277440106, + 590285907, + 875651847, + 974237284, + 719676543, + 174143026, + 518017108, + 726801932, + 944456157, + 989133564, + 798939736, + 769985371, + 82041569, + 441256904, + 210350810, + 521474088, + 734098578, + 435775015, + 689526258, + 736890258, + 565145607, + 49857634, + 267134755, + 717545579, + 739822624, + 281879211, + 530606124, + 730607789, + 168727429, + 97834024, + 337856638, + 363074111, + 861213638, + 904341948, + 261635739, + 932107255, + 30452938, + 48409254, + 297354743, + 162103906, + 454598914, + 34186374, + 408835788, + 705307603, + 337552519, + 321641288, + 241277747, + 369379670, + 567396904, + 134986305, + 695314153, + 404110092, + 754917643, + 790827746, + 535059301, + 889740079, + 589446825, + 90604502, + 556159162, + 668176069, + 896513407, + 391987402, + 238172319, + 435834827, + 43391744, + 973969804, + 48416097, + 358944138, + 509782945, + 139625456, + 559444596, + 883900479, + 834792492, + 682790324, + 802552884, + 829648362, + 352517731, + 788207221, + 899858942, + 134819556, + 621650791, + 412441163, + 915063643, + 887548612, + 411437797, + 120317155, + 796662395, + 425994519, + 936900104, + 227353806, + 720744740, + 17266916, + 169285698, + 752787598, + 848679353, + 112364338, + 401141318, + 733764168, + 55858987, + 103004765, + 39944461, + 54906123, + 205273841, + 973602612, + 942819055, + 61825655, + 93301826, + 485952105, + 164406926, + 845223727, + 679506763, + 391680125, + 554553421, + 571657240, + 73595615, + 122757790, + 354157299, + 150688560, + 276376243, + 523638912, + 810520648, + 476866392, + 904314344, + 38053179, + 210873598, + 603618974, + 438570548, + 142469442, + 290568677, + 893005246, + 49567424, + 617727696, + 521610602, + 618011574, + 638420441, + 341063479, + 96294263, + 796185533, + 709721583, + 798283654, + 312405541, + 138995958, + 709272470, + 798006148, + 987699783, + 325398884, + 511675272, + 590142503, + 774432085, + 10148820, + 406562717, + 183971506, + 874279690, + 19464947, + 948277442, + 568139416, + 943667805, + 574992148, + 991268467, + 236753669, + 637636823, + 43640085, + 583717194, + 972092724, + 295279743, + 61260554, + 763512092, + 581909167, + 163217939, + 148941335, + 126166204, + 150916561, + 381711653, + 538618169, + 546746730, + 952017771, + 513459929, + 431201762, + 89528089, + 8548438, + 559853679, + 94887378, + 927744167, + 71653291, + 740173671, + 32063491, + 312321850, + 57973410, + 991679818, + 839392567, + 898612627, + 834553983, + 436369257, + 644991453, + 832386995, + 938693234, + 699894228, + 14206193, + 658850009, + 432583042, + 325336156, + 2017106, + 366384796, + 260300826, + 60919533, + 993052492, + 794683065, + 918075298, + 205580301, + 951019619, + 975593477, + 265482399, + 969456666, + 57956716, + 792598880, + 563455480, + 436192097, + 690520685, + 582618554, + 260757957, + 134367008, + 955407464, + 812663967, + 783729153, + 580231398, + 81835895, + 430821380, + 943755880, + 741126943, + 374756490, + 398723405, + 453215474, + 248946356, + 45483650, + 43835542, + 870458881, + 713282757, + 235785518, + 531230255, + 661933192, + 252727748, + 70146922, + 118156690, + 987210600, + 141993235, + 601468995, + 889008403, + 636986991, + 298595624, + 419355583, + 178200335, + 674820236, + 160936623, + 884847754, + 935220425, + 501174492, + 659575282, + 756210355, + 149812858, + 595788790, + 874684823, + 47211140, + 320735117, + 793610159, + 675011797, + 394652841, + 44857752, + 722438102, + 986969957, + 103850695, + 301225586, + 654151211, + 234011728, + 259958319, + 295080655, + 136706538, + 452785692, + 481021383, + 115520790, + 365727621, + 997088003, + 45071623, + 841714903, + 787060319, + 364843656, + 195461527, + 827127026, + 459147883, + 651183239, + 118368451, + 246920127, + 317715813, + 874385144, + 544755707, + 305642648, + 505495417, + 840161332, + 698450842, + 361262978, + 121252920, + 338092984, + 633814892, + 901076050, + 74831546, + 335399023, + 74856230, + 12453937, + 904123315, + 644357029, + 186796279, + 456160770, + 243611970, + 657494820, + 400279817, + 482387450, + 975726499, + 429259375, + 832238962, + 612281269, + 598269967, + 296854634, + 644151908, + 763334758, + 569677954, + 592901958, + 608758975, + 51813314, + 873120703, + 907643013, + 603557405, + 731284175, + 314622742, + 609236123, + 608679428, + 319463638, + 175281955, + 596859643, + 644970081, + 444844174, + 316948019, + 820327300, + 843869552, + 567108503, + 776242629, + 450280760, + 949250668, + 670853958, + 582014473, + 831968209, + 190593455, + 974535914, + 647543843, + 671463718, + 532563503, + 431820998, + 146460320, + 206291638, + 515928881, + 862361568, + 896724018, + 982747716, + 938051336, + 403604782, + 256805610, + 104749047, + 538276656, + 911456011, + 975368893, + 401643676, + 569543605, + 967727735, + 545979119, + 455271450, + 85200834, + 33816116, + 290436955, + 213806573, + 821784743, + 437644754, + 394187563, + 108117940, + 63496517, + 512403146, + 80411999, + 505262537, + 622606409, + 217765854, + 766050030, + 285790230, + 959204863, + 187333399, + 753169501, + 141271239, + 389520933, + 462335941, + 980801386, + 180291396, + 655802756, + 947183562, + 94889144, + 274831586, + 131095571, + 109003229, + 813827549, + 721217896, + 161108571, + 314621071, + 492343666, + 876114107, + 73636738, + 589095043, + 924972392, + 197631930, + 899162227, + 282358044, + 929309417, + 254890528, + 245900069, + 656489844, + 665046564, + 217247169, + 359675751, + 177277125, + 450598091, + 983506699, + 330382298, + 913886350, + 493957722, + 45481941, + 384019839, + 882682410, + 502017352, + 462995930, + 957857740, + 852788741, + 418426246, + 608130514, + 273922584, + 356220908, + 813611614, + 214487950, + 741091149, + 869773729, + 893380408, + 46781772, + 559460274, + 395363551, + 197874410, + 101478046, + 389423897, + 343649548, + 944120608, + 315190705, + 786339034, + 439198290, + 589460741, + 789166110, + 313079000, + 673711264, + 747451599, + 914912580, + 541357844, + 991159504, + 615465879, + 275506511, + 448689159, + 978279083, + 835259544, + 543999257, + 24687318, + 908666056, + 279332005, + 729723883, + 516302641, + 605964459, + 705159115, + 663261779, + 384831929, + 434184409, + 531735619, + 785367151, + 557881968, + 357603987, + 891126518, + 598032362, + 31055738, + 97820923, + 924133545, + 815336238, + 561488901, + 56097497, + 122139263, + 749523833, + 59884775, + 341755541, + 866095435, + 315464137, + 77598137, + 174502776, + 189203630, + 602987773, + 205920893, + 17429446, + 179025913, + 502496808, + 153120931, + 752291006, + 447186540, + 487138560, + 948921569, + 291680212, + 253600639, + 90395214, + 289067518, + 451101410, + 547791463, + 421063291, + 969595279, + 306175125, + 406763569, + 864735434, + 982483727, + 599590376, + 217680334, + 901167557, + 585216014, + 786244347, + 160480052, + 422615502, + 99387364, + 762112403, + 374864743, + 848003242, + 77602407, + 178270711, + 396222631, + 971761615, + 177748879, + 348161389, + 802983027, + 11913253, + 493651836, + 868344718, + 90877235, + 129660921, + 627492804, + 73371451, + 983441681, + 298122262, + 8152844, + 979818347, + 307882985, + 895089115, + 771679146, + 808414486, + 407457050, + 503285195, + 614840972, + 342929459, + 549965672, + 344996240, + 87238266, + 35458675, + 714809930, + 605169889, + 682626401, + 776540511, + 551156960, + 691351312, + 962295238, + 626221321, + 863972724, + 29278597, + 468457304, + 749753627, + 147711730, + 509893903, + 94810845, + 211621586, + 721567103, + 901058636, + 654172457, + 401715456, + 545843713, + 317460982, + 192680383, + 791897081, + 564178132, + 790014838, + 100757419, + 680995064, + 812719090, + 961552685, + 613357458, + 64763884, + 576092755, + 358580603, + 470939552, + 675202461, + 451306154, + 999876339, + 119171633, + 533613119, + 987008322, + 449507825, + 740047442, + 181868530, + 869945832, + 369019657, + 920946484, + 635280211, + 804018697, + 500679846, + 745537736, + 425306021, + 152897328, + 202841691, + 366797627, + 825436644, + 687363010, + 734577782, + 444621678, + 776494496, + 16083514, + 745337355, + 188924033, + 348598556, + 827908871, + 115309849, + 710269220, + 297687841, + 924756512, + 823131383, + 249303202, + 734208123, + 444912918, + 59554789, + 84223398, + 688585079, + 62200453, + 842083359, + 980049132, + 290993973, + 245471651, + 753578616, + 172063049, + 987348048, + 489423523, + 368975402, + 159457570, + 687922523, + 675862684, + 288947500, + 358855219, + 71303348, + 810512326, + 197915930, + 953536947, + 36401469, + 199196430, + 967892885, + 963818708, + 405115570, + 407802255, + 399521244, + 921808441, + 728531559, + 394930638, + 721154429, + 93797015, + 39687564, + 136828780, + 316138329, + 663225070, + 391522423, + 319873735, + 692864702, + 997173652, + 232296279, + 259435829, + 98585663, + 646637451, + 139095057, + 868684859, + 964603089, + 608595472, + 459641968, + 130988088, + 246045199, + 644587559, + 456320423, + 924917484, + 881886535, + 43361075, + 150343412, + 686888672, + 232192739, + 265414421, + 250488334, + 783410977, + 978691742, + 288922073, + 503694916, + 229737611, + 479789616, + 70285402, + 936475020, + 774343921, + 17274824, + 226108933, + 788431057, + 397799784, + 192540886, + 105930664, + 731417747, + 254553082, + 720291425, + 596464526, + 511360628, + 553006632, + 297268702, + 886853745, + 941920279, + 380472650, + 504978217, + 58298503, + 355176448, + 923418073, + 387687218, + 676698940, + 157599566, + 365999746, + 437213782, + 496873955, + 401710291, + 233551650, + 16975153, + 523933492, + 749021060, + 784273253, + 519291477, + 343687585, + 93830913, + 776999815, + 659438029, + 947046894, + 578309902, + 111728011, + 667415000, + 357582665, + 558883773, + 830776375, + 333849278, + 721722182, + 703540756, + 898570374, + 617124387, + 310787083, + 774334607, + 772413005, + 794459560, + 595783345, + 895633763, + 34416355, + 409114322, + 915035757, + 316654196, + 772560011, + 949583102, + 974102427, + 395781286, + 990743938, + 147323388, + 400043070, + 349311507, + 921454242, + 474764869, + 437229296, + 304901550, + 693151514, + 326086363, + 253675125, + 244932862, + 842929624, + 13282319, + 475239205, + 90848049, + 373719392, + 560711086, + 183781342, + 271831595, + 409396200, + 389511672, + 462623986, + 726496289, + 709349406, + 958355389, + 74189009, + 845300554, + 58675752, + 352831574, + 864587334, + 115366442, + 609513971, + 934845243, + 35643750, + 885915528, + 911273591, + 816954089, + 437247942, + 930241408, + 170933878, + 20604308, + 650123995, + 709383080, + 482773516, + 283646983, + 373432115, + 904676107, + 444534127, + 531094891, + 43995747, + 157281359, + 169239209, + 604056518, + 278049886, + 132660973, + 439015261, + 287551777, + 54818071, + 415686787, + 218330469, + 377529158, + 839957254, + 862102121, + 151043944, + 674950136, + 483167665, + 849126797, + 241481054, + 922737226, + 784746057, + 614746993, + 396043846, + 834335070, + 604554326, + 730756514, + 385495111, + 674377389, + 956379977, + 618305763, + 337785935, + 715440644, + 476972793, + 802308420, + 428149247, + 887740980, + 368144840, + 85353542, + 249523063, + 276382215, + 976332091, + 98153276, + 494916727, + 946366131, + 344065388, + 72009121, + 929805104, + 80873833, + 320602429, + 919267454, + 470275413, + 140854826, + 822495941, + 817491610, + 666985383, + 284740209, + 18716842, + 209938324, + 696184993, + 236965932, + 578667392, + 506509357, + 785204807, + 846699167, + 767665314, + 394963136, + 334413827, + 368171370, + 482615567, + 737658627, + 117552309, + 76450895, + 445157856, + 340498158, + 65574130, + 448058823, + 315729914, + 979556668, + 14630130, + 904904952, + 44172352, + 458335033, + 504051238, + 854000915, + 662700933, + 281384055, + 506081984, + 503903839, + 145261992, + 151445689, + 927469417, + 528118494, + 88281267, + 894116944, + 115807196, + 124927351, + 729722350, + 277392278, + 98191301, + 327349936, + 142566864, + 254881259, + 874156992, + 403161705, + 989767753, + 552612175, + 40427362, + 527620265, + 89550006, + 538429069, + 247953851, + 183931256, + 510305736, + 958715645, + 27694868, + 869051946, + 312870119, + 856399506, + 400740567, + 890945059, + 733473860, + 603796796, + 808286810, + 969246206, + 868976883, + 912387714, + 519024913, + 539864705, + 412882258, + 889747215, + 272563010, + 198088245, + 308093706, + 680768634, + 772158495, + 978812588, + 280637011, + 282555321, + 869870544, + 318271157, + 856221828, + 216451469, + 595255797, + 376782223, + 684968008, + 759816298, + 144167171, + 574205142, + 929047629, + 355330925, + 302416213, + 469724939, + 947829143, + 276146311, + 763306375, + 460726273, + 737494178, + 638825071, + 785539555, + 710083490, + 882370261, + 346455611, + 471854852, + 335361979, + 136826708, + 435103126, + 844328474, + 868180702, + 220022580, + 257223934, + 677936320, + 14671391, + 813270396, + 15710393, + 919057131, + 752304937, + 822014627, + 407790228, + 760568240, + 185970632, + 760380959, + 949184336, + 268453583, + 642531661, + 968139014, + 169211546, + 611416364, + 354863554, + 210214008, + 701285014, + 617848206, + 287025237, + 5318640, + 124590067, + 766913767, + 331985859, + 780854872, + 627796985, + 898425314, + 186695148, + 865405493, + 751346933, + 762588586, + 904982268, + 51115700, + 192568706, + 29132853, + 715023727, + 28570065, + 81358613, + 343701056, + 898252970, + 576704912, + 741378426, + 203033417, + 671063232, + 785526687, + 888065902, + 321377600, + 627763203, + 981446803, + 96120970, + 479938043, + 987141460, + 943224019, + 512366250, + 852714074, + 379899980, + 107071413, + 530507645, + 55300908, + 597823255, + 892858167, + 297502490, + 550517556, + 984755957, + 981917255, + 138022217, + 337271484, + 949808621, + 24650377, + 387718345, + 469310635, + 305953421, + 188264951, + 968642843, + 132467493, + 418745577, + 889150904, + 84258153, + 95161213, + 443494753, + 595902024, + 891001573, + 517428278, + 831384917, + 91626797, + 253675083, + 963101964, + 780726771, + 800360336, + 178014068, + 709308416, + 949425695, + 640714251, + 207550165, + 707897245, + 974917586, + 594823928, + 905138312, + 837108710, + 683557234, + 652273201, + 367851126, + 316971601, + 303069439, + 432162576, + 199290590, + 619667187, + 726805345, + 679128959, + 912269828, + 96268891, + 746215224, + 516526659, + 175743768, + 875196862, + 690086086, + 252201484, + 566388019, + 782882236, + 137075038, + 321711624, + 512419296, + 650204411, + 307762804, + 965121313, + 438651448, + 336839422, + 185351177, + 960778884, + 340651733, + 835682389, + 928222948, + 429260244, + 78806605, + 537362978, + 554855102, + 781171816, + 419601749, + 491924074, + 297878948, + 914319951, + 76966368, + 461638852, + 442909041, + 234435927, + 415528462, + 893342427, + 453624218, + 105704223, + 762344355, + 845418225, + 270554669, + 232123815, + 51115109, + 718049547, + 67851399, + 616049285, + 784732421, + 927185976, + 9577156, + 474627485, + 326528843, + 231403147, + 774274924, + 382524038, + 308271310, + 33445745, + 139727837, + 248085934, + 77457391, + 322849257, + 976383339, + 813849395, + 899322820, + 874679746, + 110835574, + 344643414, + 358754932, + 371434302, + 821388655, + 260605552, + 442620237, + 951610963, + 450332860, + 176779883, + 111867346, + 892903248, + 498764257, + 694953669, + 792857581, + 628229355, + 562994707, + 66497461, + 106298323, + 278122870, + 572593785, + 436870733, + 572721622, + 668881828, + 180107548, + 766075694, + 385441364, + 112918300, + 423982389, + 447523912, + 96187471, + 616701601, + 514933772, + 9400477, + 924143705, + 295995027, + 469623814, + 121473651, + 76135021, + 176985357, + 723696159, + 315783421, + 337462972, + 699565982, + 96321467, + 230026055, + 608942560, + 454013562, + 37328281, + 6226158, + 543175927, + 547927152, + 669055477, + 732078064, + 327975341, + 242118642, + 379383347, + 115307271, + 62547668, + 386037581, + 847848534, + 368133106, + 301811262, + 815159943, + 650874510, + 6610665, + 932848416, + 410932843, + 207289493, + 793566364, + 886005647, + 811797370, + 989840316, + 440796671, + 382278245, + 660790301, + 149691151, + 262630483, + 983936200, + 10160859, + 818574610, + 636152082, + 599839463, + 253176246, + 473472964, + 658581596, + 330045502, + 392216654, + 722130960, + 220274359, + 371833359, + 132544099, + 984208176, + 798416404, + 198180975, + 965268905, + 661821990, + 295530165, + 673940949, + 577071104, + 591967766, + 928931597, + 367242190, + 637987145, + 772524160, + 251621324, + 934126591, + 403672712, + 25954882, + 76598895, + 875234480, + 10365108, + 709232600, + 327839019, + 656747799, + 688629858, + 740532162, + 584034555, + 985067624, + 268909441, + 301879935, + 140291245, + 480677240, + 196547519, + 436136950, + 644334751, + 556210480, + 905776854, + 812831078, + 262066944, + 143805656, + 670802242, + 694411898, + 923983490, + 51135633, + 750844230, + 216591495, + 183212770, + 603734896, + 535985853, + 48308319, + 440033330, + 809099784, + 857589810, + 981197910, + 207525349, + 829985644, + 146687324, + 626187141, + 577517817, + 972689526, + 640729464, + 130861076, + 999302083, + 514062771, + 190821441, + 212862011, + 246813141, + 369451481, + 914550944, + 47567079, + 821062161, + 166021817, + 970546084, + 812627705, + 279084238, + 676490359, + 947722702, + 351408433, + 361154436, + 937109077, + 91923324, + 166334042, + 889787831, + 253730049, + 989911782, + 928913374, + 940956891, + 685223932, + 61699272, + 797638545, + 333640474, + 432637638, + 787687668, + 553225501, + 880890464, + 885696854, + 397606740, + 829426099, + 819792404, + 531716641, + 483221066, + 865402521, + 911765533, + 449904398, + 847733500, + 138465491, + 85569405, + 28288348, + 285394937, + 170342054, + 895089897, + 939936556, + 120732502, + 440061965, + 421660926, + 456095193, + 15897264, + 470313662, + 185697389, + 574287421, + 461787190, + 860090592, + 686290821, + 303183329, + 891117920, + 944586299, + 438954930, + 503368482, + 82563807, + 130517307, + 846457859, + 880407011, + 822314222, + 302055157, + 159486794, + 695093537, + 145461483, + 481075175, + 801479217, + 834691539, + 20538128, + 193200153, + 678420992, + 295503949, + 138039823, + 196614693, + 555531364, + 250330811, + 811372081, + 760591746, + 303014091, + 500619917, + 311709537, + 278891613, + 601935342, + 963263444, + 900190846, + 771612218, + 822436847, + 647037262, + 587952537, + 696933423, + 968346167, + 259615459, + 983735163, + 936253262, + 545826338, + 697939069, + 831467829, + 244571288, + 714137746, + 568661112, + 940668198, + 944679119, + 923366414, + 468992775, + 603841188, + 23988697, + 358820016, + 395550064, + 69504218, + 87171965, + 721760467, + 751764017, + 648693369, + 432636867, + 943043743, + 600405146, + 706927965, + 67381461, + 487260800, + 381405647, + 760188543, + 293613717, + 846662087, + 85055359, + 159800756, + 997510607, + 910355503, + 185908729, + 775202980, + 992227391, + 609527152, + 496299628, + 584513719, + 507829193, + 338835407, + 888227410, + 654941591, + 808315709, + 944770255, + 861394266, + 979652018, + 816533438, + 781289530, + 644939830, + 681921615, + 249490102, + 78477911, + 679545200, + 559417025, + 840463968, + 488779434, + 923382244, + 619971862, + 555872294, + 54032763, + 196126575, + 700415450, + 694612797, + 21377429, + 389852150, + 581927608, + 366910142, + 995476030, + 220549731, + 603850177, + 555291635, + 828132043, + 434126545, + 259773337, + 336451282, + 75973494, + 829458445, + 725794027, + 871439186, + 905841179, + 975078434, + 547054908, + 944789768, + 705411467, + 986497922, + 802074382, + 876881151, + 335581922, + 348663554, + 861956468, + 152419514, + 143997610, + 745448980, + 104532376, + 157461435, + 834253089, + 611899538, + 794195452, + 464804029, + 443749517, + 34193413, + 489623521, + 230260220, + 159092739, + 291906959, + 430301064, + 957817843, + 960741374, + 767218762, + 512759558, + 539041532, + 383892026, + 542183075, + 96505862, + 614081703, + 142566740, + 562194765, + 113784384, + 12529021, + 607132482, + 15151804, + 964577886, + 886198175, + 389771128, + 586455776, + 989436403, + 352964607, + 177131479, + 521161974, + 874807813, + 139466017, + 83627168, + 819880164, + 869055942, + 282924254, + 204313095, + 945273561, + 359126467, + 597693132, + 925975971, + 686693026, + 538571049, + 46412789, + 864626821, + 548864691, + 667003151, + 293927924, + 148604970, + 772885730, + 563538268, + 550496729, + 415766291, + 987145060, + 897006840, + 323346684, + 395995531, + 517987997, + 303300453, + 790154721, + 909626644, + 540196536, + 100810964, + 925326678, + 506377382, + 610316070, + 985987989, + 607131854, + 931495812, + 570215717, + 458244077, + 994460092, + 271883382, + 730940026, + 944244720, + 482331242, + 371730676, + 887369551, + 927279438, + 249736161, + 584237821, + 448804101, + 993074467, + 150406190, + 932722509, + 969701251, + 657216141, + 188361118, + 75540944, + 932319092, + 461985603, + 953238763, + 299938175, + 747565366, + 781736600, + 326127811, + 493624139, + 992531689, + 742789451, + 382192287, + 966395750, + 389082114, + 750089157, + 156525144, + 299222615, + 42879007, + 290637483, + 231691017, + 586334906, + 897987801, + 681812492, + 720030171, + 891086281, + 183470388, + 264226255, + 85234670, + 639142651, + 989692943, + 511944157, + 534325709, + 125728565, + 638052388, + 234604890, + 810104329, + 786068194, + 678424485, + 207548671, + 317508662, + 112290165, + 640278950, + 382789498, + 316893425, + 861480667, + 579393553, + 423945170, + 573192301, + 232019063, + 134873293, + 577950646, + 559426174, + 712291603, + 805205627, + 968348071, + 196249838, + 11273598, + 900890342, + 852607553, + 2092480, + 511080642, + 177240960, + 41991025, + 282019292, + 702635969, + 156040542, + 479734814, + 828870412, + 278764113, + 327364761, + 206616556, + 656772247, + 548974322, + 315074308, + 540039087, + 35209794, + 33385118, + 377659826, + 324094692, + 936911919, + 562528769, + 699014555, + 310802219, + 909291484, + 692358284, + 29976384, + 445452689, + 509044045, + 620488420, + 891110788, + 815666156, + 475347377, + 893716856, + 404254587, + 204196159, + 281162520, + 236110427, + 261210854, + 166025111, + 665028857, + 858260367, + 890803065, + 541040632, + 450196625, + 318551951, + 118420016, + 295310347, + 177489350, + 327999170, + 989086722, + 406245948, + 782584111, + 187896846, + 235470538, + 478932399, + 858380152, + 65838457, + 761915555, + 454489758, + 741023771, + 401844800, + 444908818, + 748349166, + 591227847, + 954570155, + 618853600, + 724592979, + 799570103, + 841809436, + 255002747, + 222938470, + 429579245, + 655928815, + 262239002, + 597595484, + 239416391, + 228709147, + 736776686, + 892520131, + 145269129, + 889161014, + 679683110, + 934710844, + 479917953, + 389543161, + 629265212, + 28883113, + 191025099, + 543313312, + 185575710, + 444350106, + 55229428, + 267468801, + 768868101, + 980227238, + 873235713, + 723785255, + 778035336, + 78274878, + 65447628, + 347440985, + 70670310, + 245695741, + 421176432, + 649648427, + 452988508, + 987329629, + 181368479, + 649612571, + 864339977, + 8286834, + 697277444, + 27550235, + 884508029, + 626700206, + 132808698, + 668176243, + 787300225, + 54307772, + 130167509, + 298539950, + 57011203, + 445804423, + 836948877, + 699275234, + 985715863, + 879774960, + 484377972, + 687853990, + 554657569, + 643786802, + 551904098, + 785717044, + 912231894, + 640923634, + 617072265, + 277974177, + 470978826, + 585705441, + 980293258, + 111951931, + 637579820, + 668727514, + 262455814, + 580261118, + 387068369, + 128241831, + 184198682, + 78218521, + 931004966, + 420962546, + 843515939, + 317665992, + 613204656, + 307289048, + 840385811, + 193262438, + 61324030, + 372605339, + 298049913, + 198586775, + 73066831, + 86584475, + 770145539, + 109594817, + 768928559, + 647747021, + 731904339, + 382809585, + 552383279, + 674200106, + 254398644, + 200568701, + 717108682, + 210484212, + 17324687, + 255153733, + 245606011, + 817820092, + 647664186, + 443138215, + 358615268, + 280346724, + 978355719, + 41966747, + 307605659, + 809043273, + 892483853, + 47957799, + 642788996, + 95780706, + 350936185, + 968613140, + 246099476, + 61121081, + 23470314, + 597565214, + 134959753, + 445583888, + 973575203, + 259914712, + 415871824, + 190481887, + 660058837, + 611189687, + 430885489, + 137973310, + 209146025, + 895140823, + 748549999, + 133294602, + 78988699, + 925188432, + 497345012, + 72718333, + 692861073, + 73109324, + 136435164, + 272642619, + 384798509, + 627649165, + 542287902, + 794898764, + 801226296, + 667248942, + 988745423, + 830405924, + 963908103, + 67103009, + 866546522, + 464302623, + 509069996, + 976843215, + 230452633, + 718696203, + 785857939, + 259028654, + 579477709, + 732080055, + 136335386, + 709251730, + 548389016, + 209676699, + 738496698, + 767542447, + 963827992, + 356509277, + 704159518, + 910092100, + 150657723, + 50741583, + 354343274, + 238880448, + 567698747, + 716515387, + 571372127, + 231365434, + 525971805, + 91906832, + 3594602, + 33615066, + 911385668, + 972698466, + 343225181, + 553396326, + 960406354, + 359951737, + 512229221, + 592189505, + 651087507, + 799071390, + 795479601, + 351663978, + 148635677, + 926003189, + 460364463, + 182635544, + 717103329, + 839250927, + 803427691, + 947428484, + 891134371, + 595004107, + 913962930, + 612001139, + 205250125, + 629994181, + 853432742, + 833022171, + 164511390, + 699876546, + 83274973, + 95604156, + 279146206, + 48659543, + 304966079, + 273488873, + 797654205, + 392699493, + 662206963, + 74708350, + 529544416, + 730013989, + 762022558, + 853654917, + 27245213, + 320656874, + 989611388, + 552683453, + 659599435, + 950395368, + 229697563, + 570133185, + 77415048, + 135365194, + 200063614, + 184318016, + 550197555, + 124487641, + 716938895, + 831195577, + 801034811, + 775738536, + 138254562, + 468684293, + 389788379, + 317159797, + 383507328, + 559410039, + 669310546, + 692847564, + 779721311, + 826646435, + 723374252, + 836718883, + 172633754, + 685273946, + 267577752, + 824804561, + 206438216, + 956915911, + 679017582, + 626167694, + 234280253, + 845846980, + 150377798, + 946256952, + 808167382, + 95612590, + 245633876, + 627871141, + 282591039, + 300677254, + 989254351, + 403796095, + 956479534, + 620304679, + 962294757, + 976716696, + 382037163, + 383446885, + 995527043, + 658189853, + 174337925, + 586664182, + 286938684, + 238077493, + 1128307, + 301633106, + 594866783, + 243288409, + 954873759, + 83821218, + 693162893, + 753185799, + 110027549, + 452326758, + 522028900, + 233693856, + 201564575, + 241882300, + 30710011, + 987888151, + 162039324, + 292757802, + 522041856, + 886829877, + 709704384, + 735727774, + 715413099, + 87066061, + 157583319, + 697044486, + 876387139, + 709426017, + 362203080, + 522771670, + 449039494, + 599193577, + 889418432, + 122319170, + 634091149, + 487625888, + 527577829, + 533203620, + 426243366, + 419135114, + 783066495, + 428601772, + 335418352, + 90149537, + 11031146, + 128225836, + 117073344, + 786496485, + 627070974, + 953891074, + 37510795, + 619903423, + 73631200, + 240318414, + 482330508, + 482165088, + 290185580, + 146095876, + 18670628, + 286150061, + 538055448, + 377362910, + 738774635, + 491972670, + 185313693, + 146399327, + 463044504, + 863117849, + 329026786, + 664867878, + 685832689, + 228738536, + 291584996, + 58373247, + 174984021, + 646644752, + 170069709, + 363896840, + 906220289, + 549471596, + 47913704, + 223405988, + 303274584, + 478316723, + 159823190, + 69410919, + 240396522, + 847932345, + 852222255, + 842326651, + 474709214, + 525539321, + 603590103, + 916341304, + 601671201, + 731087050, + 115636628, + 345631330, + 328408428, + 221367692, + 364468949, + 207696819, + 334508108, + 626958220, + 167873023, + 965848071, + 937686607, + 158728445, + 840229221, + 998742019, + 775463311, + 765322689, + 844323707, + 743642336, + 334193743, + 523263675, + 60795740, + 659698335, + 206519976, + 868983671, + 994982622, + 389994576, + 331596265, + 261328850, + 491014006, + 720531436, + 688811440, + 931672213, + 455093993, + 231715702, + 289113247, + 471270993, + 178480600, + 976884947, + 232690582, + 626720319, + 991015645, + 987596899, + 209741862, + 717897922, + 599522881, + 241410652, + 813053529, + 638842442, + 483065153, + 785688159, + 217469483, + 660592843, + 253538978, + 247799960, + 397484047, + 118955338, + 89509069, + 679792859, + 993161196, + 705612378, + 333786067, + 646931039, + 337155301, + 721224774, + 490087558, + 651501, + 961233097, + 924088050, + 315885639, + 42108183, + 970314385, + 114021175, + 944274724, + 107834385, + 977833912, + 930307576, + 513141792, + 458452002, + 84545576, + 603023254, + 790567496, + 535495113, + 482673637, + 952124154, + 225268086, + 760853587, + 90731450, + 332582604, + 942559062, + 930137847, + 458625060, + 301921063, + 441543456, + 259150286, + 512220117, + 11845456, + 626039040, + 732192741, + 830868730, + 678264807, + 209181403, + 962606415, + 154830778, + 283382922, + 885993852, + 798773008, + 120151715, + 217783974, + 232610471, + 937006066, + 702743193, + 444441761, + 130310874, + 810675237, + 431852514, + 366908409, + 409177174, + 639236574, + 304650325, + 246817502, + 46327543, + 14644535, + 945926370, + 750376370, + 865330364, + 190954518, + 179507800, + 934427703, + 331454190, + 981072265, + 181460726, + 977366428, + 352419527, + 138510014, + 161772273, + 589657898, + 553010396, + 324167031, + 970301578, + 717977855, + 684076619, + 876116007, + 727796822, + 833456814, + 65312880, + 242977977, + 532634994, + 9477022, + 489298688, + 192060412, + 555687952, + 462420809, + 232521611, + 798590253, + 508650954, + 331458908, + 466554699, + 543131577, + 318712368, + 726732658, + 131051438, + 91759003, + 214048666, + 554974843, + 368742350, + 45970065, + 131018213, + 496957436, + 37747138, + 30221812, + 282842211, + 100950340, + 61773625, + 911393116, + 11107252, + 471398835, + 407818318, + 187285431, + 561714709, + 458538337, + 28323369, + 560514097, + 448493139, + 448569341, + 124989671, + 617164589, + 309237291, + 17962098, + 513936494, + 271430107, + 226219306, + 382900537, + 114124839, + 356573247, + 461879186, + 788607678, + 594345, + 996006626, + 389403417, + 216053564, + 861370623, + 26130081, + 733436704, + 86032314, + 80826352, + 765188105, + 917070145, + 421878481, + 660854217, + 377021137, + 529869069, + 562793779, + 796514386, + 732698378, + 183626306, + 619438472, + 957669601, + 975280602, + 229478131, + 576037035, + 457838935, + 202246603, + 457853510, + 287831885, + 66524419, + 418873459, + 484263300, + 487092045, + 883332572, + 280013565, + 539412224, + 682459499, + 630520705, + 116604355, + 292772434, + 101682370, + 642434787, + 440454927, + 384772311, + 488273760, + 979486450, + 728072219, + 168640950, + 264485091, + 591909416, + 511576048, + 33458089, + 580588724, + 183715259, + 322658420, + 952715429, + 548677654, + 51025091, + 766141356, + 860743050, + 337149838, + 305550020, + 121017817, + 793435641, + 786430604, + 907616539, + 899200508, + 522136004, + 851666335, + 441098977, + 574992432, + 357038122, + 207887139, + 750881487, + 223274962, + 43194540, + 881059582, + 981473596, + 500973007, + 302561920, + 620768474, + 425314151, + 227568780, + 625251324, + 905976266, + 800119508, + 351217418, + 985378387, + 652749762, + 431268606, + 200408952, + 801112549, + 213048144, + 709643566, + 733420072, + 94473137, + 876066258, + 825663372, + 558484231, + 725152204, + 301715101, + 290260179, + 10142952, + 295476243, + 725972353, + 344252157, + 413840560, + 586945060, + 943768233, + 404480097, + 271531321, + 299743521, + 747669487, + 623483125, + 937288591, + 296292587, + 151639943, + 40178234, + 310402849, + 732928233, + 644639446, + 678980357, + 264201457, + 357452761, + 56591632, + 223130917, + 909512235, + 519155852, + 184875884, + 187011448, + 758478613, + 831025656, + 799225721, + 657072571, + 56207609, + 501306361, + 54415289, + 838860323, + 660017997, + 794543846, + 139731383, + 440415215, + 931596203, + 728052447, + 377807727, + 174183005, + 295915771, + 488893916, + 843282439, + 528385792, + 353712634, + 707382768, + 88750845, + 751247076, + 204240686, + 805779579, + 900164724, + 225283834, + 233925202, + 298032640, + 443227858, + 578035899, + 690408302, + 522430129, + 109281438, + 203029005, + 83458298, + 732660580, + 881905479, + 660910260, + 995939664, + 1533222, + 347827400, + 77679339, + 95459853, + 344470314, + 549103187, + 863403428, + 596994802, + 585046838, + 795057146, + 527324586, + 592355627, + 300672287, + 250565546, + 165933665, + 827483406, + 27867909, + 100042483, + 790330979, + 368616054, + 515920351, + 569178545, + 430373230, + 489689537, + 308367723, + 260724209, + 898368077, + 848505717, + 72300348, + 194929321, + 12459285, + 11366716, + 586233983, + 755049469, + 510016615, + 589409520, + 809161962, + 177624440, + 477810503, + 689680582, + 30896378, + 881313617, + 367978309, + 697815512, + 92499016, + 705196058, + 457773955, + 235327608, + 639977947, + 771066287, + 293900663, + 489235567, + 819782450, + 185919305, + 9946597, + 235738961, + 947137340, + 314629171, + 434668878, + 732149352, + 642012655, + 805225147, + 954387127, + 922306309, + 208114506, + 557966881, + 152843300, + 986866282, + 653321515, + 161919311, + 954682917, + 708102132, + 576288081, + 570165759, + 368660853, + 794932687, + 440768033, + 148970103, + 766945059, + 567138732, + 521902510, + 435505053, + 79703989, + 281358882, + 144834454, + 24352959, + 795951346, + 905611558, + 324267718, + 190653265, + 529300049, + 166411526, + 337024187, + 329374670, + 8120402, + 242414094, + 687147658, + 626063976, + 881987027, + 288948573, + 871535172, + 245903786, + 517075076, + 155676150, + 662740234, + 139969102, + 837424460, + 304227836, + 474502811, + 87441389, + 665883954, + 98524551, + 504474714, + 456237690, + 928246409, + 796820784, + 17073783, + 167229234, + 556603187, + 64165224, + 697560588, + 98506856, + 932753721, + 278792156, + 530487587, + 372889949, + 646815170, + 116200624, + 527597065, + 618896251, + 574178641, + 712613491, + 485475459, + 66652020, + 52274175, + 595353864, + 840433623, + 937214941, + 395407587, + 979984651, + 42416671, + 894764438, + 253590402, + 140935146, + 197131948, + 688381316, + 401549320, + 517796652, + 512189684, + 25330689, + 821466819, + 242834083, + 729982696, + 761434392, + 193534767, + 172154121, + 721973207, + 324913058, + 510423583, + 660869409, + 428975321, + 750372185, + 405393955, + 376408884, + 975740054, + 127578414, + 433855257, + 598791180, + 218602954, + 139794380, + 734796373, + 251035835, + 412585951, + 788985407, + 833901641, + 782802766, + 665936799, + 619951324, + 71516015, + 873386855, + 756183225, + 238099075, + 745234696, + 185756180, + 983407354, + 714057624, + 967317916, + 312756143, + 163424660, + 913703168, + 127552451, + 451347486, + 731983812, + 356658019, + 876649290, + 885122672, + 887709022, + 961003625, + 114957649, + 710185673, + 979820182, + 768086067, + 325526595, + 895703770, + 368878374, + 214045945, + 771838741, + 617164218, + 672098605, + 736155093, + 400591986, + 765963466, + 394736496, + 214666494, + 713493381, + 232808884, + 269359, + 419190045, + 492516852, + 749602246, + 901508342, + 74472179, + 376835101, + 427674435, + 420811947, + 689776040, + 863915821, + 343324989, + 469052665, + 339251354, + 523108184, + 420760852, + 566547066, + 415610175, + 163981049, + 950901097, + 855420234, + 365562586, + 182333846, + 630963161, + 149042767, + 800531937, + 154618439, + 403533256, + 631242047, + 76082585, + 743308886, + 895507065, + 652818324, + 361525400, + 998002156, + 815273059, + 887577843, + 468416455, + 762067028, + 102652597, + 653633785, + 36591287, + 573505953, + 587180279, + 449403522, + 300518673, + 31680347, + 232891659, + 682733813, + 425569702, + 854216171, + 294497656, + 521712515, + 739293465, + 530371586, + 959733486, + 707143793, + 114238386, + 186782298, + 162852958, + 215075198, + 401321026, + 70024512, + 304608613, + 419987956, + 113264464, + 393890821, + 62508115, + 592013828, + 300361752, + 368238586, + 728095340, + 805305157, + 973028023, + 959685159, + 874254685, + 542918352, + 283377047, + 397887482, + 838676120, + 81971065, + 149629881, + 256796346, + 722551451, + 127835090, + 182297476, + 950325049, + 908514172, + 872679431, + 701382825, + 370789044, + 303101219, + 348482562, + 737675681, + 756250742, + 486636947, + 407477501, + 428116765, + 538371512, + 859554047, + 341020706, + 307486962, + 886466826, + 225968129, + 135163463, + 743725480, + 891826936, + 91141026, + 265724544, + 713262379, + 711803228, + 573388257, + 665389254, + 175485300, + 852577495, + 934405415, + 283619255, + 817495299, + 178036095, + 238225972, + 66666436, + 861397174, + 714233904, + 466841354, + 233457883, + 607839050, + 589692161, + 475558151, + 994727038, + 288615172, + 838678206, + 2831112, + 97323642, + 754841129, + 85718371, + 377552143, + 221918048, + 803305384, + 156411239, + 331693421, + 505521423, + 699011167, + 164530005, + 147189091, + 335672103, + 780150994, + 636738281, + 447551765, + 362447663, + 375908633, + 723559917, + 388178658, + 886695479, + 892743615, + 784220110, + 272495575, + 211331903, + 944288766, + 919430762, + 472502744, + 690527923, + 53909304, + 212359889, + 576731443, + 454097321, + 825034430, + 332125957, + 767566892, + 447711386, + 405668828, + 317356509, + 784045609, + 178694991, + 250813837, + 645921950, + 468392157, + 259890654, + 245763242, + 669936962, + 600900129, + 412079808, + 163085066, + 889643036, + 544925442, + 236630065, + 440977918, + 331589878, + 16616683, + 554612145, + 808047558, + 589092301, + 662230331, + 70944396, + 608232740, + 715560647, + 180867917, + 642251075, + 280419429, + 841921341, + 911287337, + 978523113, + 740751457, + 521310548, + 227674582, + 473836769, + 765806401, + 681386382, + 55831038, + 724926991, + 317945807, + 511292475, + 924878636, + 968502091, + 148934437, + 620927372, + 191383510, + 349854444, + 961501149, + 447561396, + 998206428, + 64109690, + 748032450, + 221271770, + 114865752, + 113979975, + 488911462, + 673075479, + 847384481, + 353009995, + 617253041, + 313306595, + 240146490, + 448271606, + 619811389, + 608225236, + 592203972, + 915600649, + 953106659, + 527239049, + 665548430, + 296688189, + 619513299, + 260495933, + 124323684, + 506677759, + 607182004, + 245835222, + 625965628, + 528512673, + 38739393, + 394699974, + 459521718, + 312703614, + 646780319, + 794978036, + 853757565, + 576301953, + 301413681, + 762449383, + 139426151, + 233248356, + 54962488, + 274315751, + 755694998, + 601548780, + 764822650, + 452918991, + 918882713, + 268116256, + 374283648, + 981531487, + 268265014, + 492293563, + 675866166, + 119285859, + 364129782, + 485956201, + 199400621, + 920292413, + 249556812, + 749280524, + 250117203, + 955125834, + 917759287, + 805405387, + 127842476, + 813387152, + 397784426, + 859188483, + 607409822, + 894798880, + 519176406, + 810568589, + 586737144, + 48597192, + 777116399, + 915418575, + 507336709, + 554132494, + 579559638, + 642135143, + 938384991, + 492222125, + 992841295, + 875373168, + 212383256, + 86263690, + 630459993, + 686234698, + 588498309, + 887144640, + 231152392, + 518900017, + 781727302, + 697963245, + 717506677, + 980545022, + 642302034, + 348415033, + 204435241, + 739851812, + 175473772, + 426501930, + 665633200, + 19784536, + 86799306, + 519220252, + 235653978, + 103152350, + 834215198, + 598871549, + 810043661, + 79608387, + 168577748, + 44016491, + 274184306, + 270793362, + 528976808, + 897561480, + 487036523, + 322939413, + 800704947, + 740076994, + 920535348, + 707261814, + 319133545, + 969302798, + 269825968, + 912972139, + 833488316, + 818192584, + 945946284, + 943869149, + 355525287, + 671854541, + 73438707, + 516876101, + 231851029, + 396905039, + 797442885, + 936921577, + 666301425, + 356956241, + 963999346, + 223895655, + 832374555, + 165001915, + 615228349, + 999355943, + 465170500, + 660769615, + 960861693, + 953133003, + 705625562, + 914910808, + 337724409, + 999193699, + 389535419, + 330047855, + 72942719, + 699524753, + 8238083, + 630032566, + 455800723, + 173165159, + 233182346, + 494797847, + 950741898, + 24015500, + 965058985, + 352506967, + 765323711, + 649885412, + 438941541, + 628810055, + 378837995, + 160563904, + 857865723, + 446048701, + 312021314, + 453331054, + 546552229, + 108808652, + 115333911, + 405898713, + 77581923, + 564063607, + 892129998, + 713993922, + 926427568, + 692255724, + 359693085, + 493203680, + 39192962, + 539767605, + 20642628, + 456027431, + 974451248, + 3394009, + 411515322, + 983954584, + 562392125, + 672968219, + 796569846, + 722856513, + 277902841, + 100392650, + 671951295, + 30165245, + 147105775, + 508541799, + 173595995, + 654725233, + 240202319, + 523642459, + 264504770, + 269276039, + 819822956, + 585393037, + 888389746, + 841828863, + 36962482, + 659629110, + 254077377, + 120449830, + 924539795, + 732925721, + 311815185, + 123264733, + 825440440, + 53138620, + 929112731, + 88867294, + 736089833, + 722685725, + 887659796, + 213639842, + 365190438, + 52039113, + 887645291, + 60768736, + 90013755, + 293575068, + 363385186, + 389021038, + 807681941, + 629646833, + 389279047, + 153651663, + 92492013, + 867108869, + 524356228, + 397792030, + 176870650, + 813336141, + 500701508, + 544390223, + 410727770, + 481441492, + 511200746, + 980394948, + 725305544, + 523062292, + 285884472, + 224063541, + 383530452, + 841501627, + 499268614, + 19517295, + 788188313, + 74239864, + 185815303, + 25225607, + 60583072, + 961819436, + 476316719, + 529407477, + 179360901, + 174337199, + 453811707, + 746921698, + 472828443, + 248366099, + 215182457, + 917679912, + 260398888, + 484196198, + 178286779, + 392165264, + 982674832, + 646597883, + 274726024, + 695654657, + 988573667, + 61872163, + 558642312, + 817679408, + 806988918, + 655247870, + 59196105, + 411706242, + 541875474, + 996785005, + 730646616, + 604813597, + 734298726, + 905139724, + 166944353, + 777969408, + 241692506, + 114119498, + 612476506, + 681276230, + 428332327, + 984075453, + 408037393, + 267746677, + 64531503, + 990995779, + 927125731, + 459696851, + 666212845, + 447451952, + 313746951, + 376322177, + 770271986, + 603633059, + 526574301, + 401477203, + 987376504, + 920974509, + 20087913, + 742535216, + 872645307, + 175790442, + 865065765, + 756048637, + 605221504, + 310362095, + 514086804, + 581835095, + 975148676, + 500854353, + 715412305, + 708614247, + 99654722, + 266940, + 482904621, + 182166742, + 861658082, + 196628958, + 824391791, + 681878787, + 571409969, + 811983496, + 273620051, + 19915793, + 296475080, + 620847097, + 457440699, + 957802564, + 327930746, + 635852543, + 168038063, + 894925419, + 452818433, + 472228964, + 184271887, + 771840129, + 941197106, + 777321156, + 941760533, + 764565475, + 865561748, + 39617509, + 51000983, + 919618824, + 981062326, + 294005214, + 816174001, + 439289243, + 461380181, + 30016694, + 525882593, + 523243198, + 945412251, + 918757844, + 646185212, + 578234660, + 904795300, + 453655635, + 390120024, + 82635185, + 340135591, + 363107839, + 837257739, + 111966891, + 430023492, + 166446045, + 187744594, + 506217115, + 389922205, + 47706800, + 921970035, + 698497101, + 277374644, + 136795691, + 810857112, + 641057220, + 162132998, + 28524017, + 403827858, + 915387837, + 415614807, + 550557651, + 844250532, + 269818830, + 15873343, + 765430602, + 436989592, + 41270237, + 763240957, + 568727147, + 385409316, + 910719212, + 716623259, + 86726827, + 369589996, + 902481571, + 213792647, + 100681792, + 933789824, + 402330310, + 835808749, + 903859533, + 409096316, + 746452742, + 785441759, + 552158217, + 589703086, + 206385267, + 911467551, + 45043854, + 998457074, + 901489575, + 696507471, + 651425093, + 169014798, + 689111503, + 164891841, + 506291510, + 138494360, + 534754613, + 22188041, + 452390466, + 166173145, + 635903458, + 480324945, + 979655946, + 802036078, + 217364315, + 626593430, + 793763432, + 815075599, + 364695268, + 473453515, + 179191687, + 427241778, + 445872068, + 59532848, + 509128725, + 399038243, + 958301361, + 287735274, + 41382930, + 453812930, + 838057908, + 387232891, + 50713270, + 393010187, + 180413290, + 43113414, + 102149420, + 861562674, + 866949839, + 319187780, + 161379108, + 876591323, + 645055646, + 244162553, + 752379071, + 222564340, + 645553425, + 769535566, + 324097413, + 789169284, + 670627154, + 447159346, + 483649146, + 227395903, + 747623665, + 539667022, + 290592768, + 258014876, + 726336517, + 646027059, + 950849758, + 520384256, + 649575008, + 70447522, + 172672894, + 289772670, + 4585933, + 873607768, + 957453205, + 731748920, + 283693437, + 161708153, + 952340604, + 654367446, + 454721446, + 986654506, + 359104130, + 701010370, + 262720584, + 850129295, + 43272741, + 386784834, + 970343338, + 855713120, + 26482074, + 427102425, + 52660236, + 356346107, + 567416494, + 845411189, + 24874973, + 498801892, + 149451198, + 928393241, + 219776720, + 855160793, + 796756888, + 938502537, + 297772219, + 344714023, + 290038904, + 591622274, + 275904303, + 775219238, + 318668135, + 723287742, + 545801568, + 328292310, + 153340680, + 800150687, + 302174147, + 22088036, + 880804228, + 14044218, + 284559113, + 499802170, + 118915368, + 599866244, + 489046944, + 66882094, + 588790749, + 899821139, + 989772004, + 82019433, + 209059029, + 450586584, + 720651777, + 238328097, + 613411562, + 145073868, + 866032325, + 848706923, + 934204705, + 623064641, + 550589565, + 814470275, + 830308755, + 22276261, + 944728670, + 872929336, + 922996945, + 836489157, + 648523709, + 34799265, + 511285985, + 109091915, + 825022993, + 375942777, + 723028060, + 736923045, + 869159556, + 583497354, + 520647326, + 947691488, + 218944721, + 974225458, + 218111035, + 290640182, + 702107428, + 308651330, + 676077713, + 266807701, + 864047647, + 413863130, + 837730510, + 643402136, + 962926627, + 304107140, + 482084197, + 424730363, + 207174370, + 106197371, + 583450981, + 909011791, + 589737969, + 441411451, + 287177722, + 47910024, + 818524057, + 285781511, + 456846096, + 32194747, + 120949932, + 791221771, + 240958837, + 118424129, + 31631068, + 597958117, + 723655166, + 934175422, + 856065122, + 295343388, + 864015962, + 376344370, + 899630890, + 906286798, + 481503403, + 378257274, + 394389573, + 189843087, + 632098511, + 619847051, + 31471639, + 455757177, + 616764918, + 686847996, + 245554810, + 90044307, + 578898509, + 878275386, + 40469328, + 756481548, + 121849742, + 627959000, + 366876278, + 992078090, + 15997464, + 721783309, + 961962528, + 538394850, + 337592752, + 825483331, + 99979962, + 179805254, + 918203255, + 590464278, + 270001547, + 824381350, + 543886234, + 489319078, + 470115186, + 104364152, + 436807837, + 155258611, + 13503010, + 227677752, + 960853361, + 579048892, + 147176315, + 330681488, + 415481880, + 358404239, + 770933342, + 803270394, + 269180750, + 185362632, + 260743592, + 970701062, + 297274974, + 747068165, + 386613260, + 913583765, + 683224602, + 604885824, + 715127528, + 884155284, + 476826845, + 777025350, + 454308463, + 315492237, + 574966866, + 810246610, + 505932291, + 793396848, + 948251803, + 318348637, + 840923423, + 69897854, + 947018036, + 559005044, + 295990103, + 948674468, + 665807899, + 381073507, + 1554218, + 584869824, + 462266226, + 858400184, + 50226691, + 92198801, + 716134725, + 375334421, + 795704843, + 403353055, + 896742717, + 588287551, + 965137270, + 717201164, + 984327485, + 498422077, + 690528915, + 745211201, + 791448934, + 152279904, + 357655654, + 865299716, + 938255140, + 650033559, + 664835059, + 201504501, + 635225874, + 189997056, + 733157209, + 789701848, + 245798506, + 103437124, + 966774604, + 954228284, + 937325339, + 691899751, + 717282920, + 950971053, + 407073405, + 248085598, + 650302263, + 236680728, + 404331160, + 668371320, + 321839571, + 235047939, + 481949015, + 170122206, + 657150372, + 490241441, + 682019495, + 158438370, + 890279448, + 720796624, + 27259780, + 193481696, + 214917708, + 264420375, + 727031833, + 657095520, + 754554124, + 48697326, + 76863449, + 192850644, + 540902259, + 668690448, + 660607279, + 141593022, + 473529427, + 209392791, + 249097962, + 3019310, + 572535739, + 414926579, + 604155824, + 128737921, + 567982047, + 878965982, + 422108339, + 987654964, + 759027218, + 912469002, + 986486574, + 577127573, + 523188205, + 691593952, + 220175812, + 738098292, + 703886905, + 974462252, + 833141944, + 32381676, + 614235418, + 60094797, + 387863322, + 965876996, + 358241824, + 880204293, + 214735964, + 574352956, + 703432283, + 382024624, + 998291849, + 65524781, + 720060477, + 239942004, + 781470459, + 902983496, + 206784949, + 318896066, + 964499805, + 238755088, + 167059976, + 348754321, + 100274242, + 240690837, + 544411492, + 830501230, + 71639328, + 785503796, + 531415799, + 435541113, + 363357966, + 808056479, + 577622722, + 925391982, + 442847184, + 565862472, + 156546062, + 636098198, + 595739302, + 31616990, + 670754246, + 796642305, + 13397404, + 96980893, + 764195026, + 928080639, + 604856410, + 414764058, + 522298316, + 527610955, + 54113323, + 973517079, + 387045075, + 135125237, + 207164046, + 21956345, + 824542203, + 572123185, + 729982733, + 594310293, + 728565639, + 935102057, + 893126966, + 843040787, + 787649882, + 636259842, + 769706526, + 500965438, + 438350185, + 417933775, + 728701446, + 648122573, + 76129266, + 988577165, + 533885242, + 631855720, + 653231325, + 819382011, + 165887530, + 287039309, + 802211628, + 232446386, + 599254511, + 660990439, + 85323859, + 123142199, + 766466696, + 707242774, + 508104420, + 166826430, + 111252673, + 978632991, + 106277912, + 17692303, + 513834522, + 271489947, + 84367308, + 815136282, + 387637864, + 411920647, + 203355783, + 896578754, + 52571039, + 140507971, + 156124287, + 891916845, + 166000077, + 829070326, + 892387940, + 542711984, + 206671449, + 71915814, + 436929605, + 878606705, + 396365251, + 342708598, + 639522066, + 21341416, + 441023227, + 783938909, + 980669413, + 184484809, + 185669044, + 746475214, + 688359282, + 138856747, + 710214725, + 332254700, + 30157970, + 536586961, + 761808438, + 941330020, + 805106123, + 474534012, + 676058116, + 286559943, + 76095522, + 549086192, + 61510584, + 737998489, + 828066357, + 787364358, + 575262434, + 122800790, + 101978149, + 567279140, + 386733948, + 727820138, + 701358576, + 143934296, + 646263019, + 12454431, + 337030256, + 763600131, + 65954601, + 202140646, + 409881908, + 284051251, + 626842636, + 122613105, + 798378926, + 608082102, + 273390570, + 640817478, + 133308092, + 745871495, + 953840110, + 985477135, + 557649851, + 67257281, + 603400982, + 791936496, + 552502386, + 612503686, + 555523612, + 837849652, + 753903592, + 568449827, + 586453627, + 776875154, + 423770213, + 864143151, + 837492427, + 722744268, + 581932755, + 65062830, + 129654599, + 759513836, + 488776070, + 615628724, + 488313079, + 607667504, + 154316434, + 829241801, + 3392231, + 902291708, + 860604915, + 491349908, + 844759954, + 351715143, + 569998588, + 518492493, + 881515812, + 357349302, + 253769856, + 579024766, + 504857405, + 515694012, + 796531349, + 967029191, + 797653003, + 335406576, + 891223186, + 873172428, + 554099246, + 310162333, + 392271043, + 262971767, + 280281608, + 318734789, + 749904024, + 804433356, + 273913278, + 80927476, + 765956240, + 626377985, + 971823614, + 170190573, + 436589484, + 281444764, + 158172847, + 887982508, + 876848120, + 147004822, + 779220207, + 124254787, + 805214024, + 201090656, + 822327914, + 860872350, + 720428376, + 764099609, + 897956935, + 281416671, + 617722014, + 660627958, + 815178436, + 318997454, + 630504514, + 476787069, + 187028754, + 343970539, + 336502135, + 396321139, + 981530985, + 159229667, + 44440419, + 99053645, + 909080543, + 280920142, + 55466735, + 854563808, + 440297295, + 510878852, + 720795601, + 615565530, + 403869557, + 468407321, + 70317533, + 893865008, + 537352221, + 758683061, + 438455137, + 329302708, + 877842560, + 428356756, + 927406997, + 827082479, + 467358486, + 166836411, + 548237337, + 285002563, + 283175489, + 195447277, + 638618552, + 274147200, + 449016510, + 581025446, + 723247697, + 809041728, + 824542615, + 412225186, + 814994694, + 829791417, + 317033926, + 87856880, + 479001947, + 886360676, + 229344921, + 855153788, + 79113547, + 802104377, + 968716801, + 151626258, + 129744566, + 408201318, + 785984467, + 503943260, + 785704929, + 648848701, + 394201354, + 681604023, + 822559947, + 989662760, + 747316713, + 229106985, + 608654997, + 566782575, + 971261407, + 676287192, + 630013757, + 969292856, + 836643180, + 735651708, + 497502129, + 601551188, + 737667987, + 520703202, + 578234151, + 936555076, + 388668193, + 582102680, + 718038156, + 352429557, + 770648241, + 783313988, + 61360085, + 736447983, + 386493070, + 403041837, + 978974961, + 528399966, + 123213273, + 586235516, + 398884156, + 621581027, + 494093996, + 166167009, + 674743574, + 254314824, + 106190143, + 515383803, + 938300164, + 4209049, + 208334692, + 524883220, + 592981818, + 502087991, + 617231149, + 684109734, + 806466830, + 477143107, + 44371606, + 700182243, + 852748847, + 551087239, + 204465206, + 897037567, + 983948593, + 901022360, + 556178284, + 740470654, + 286837151, + 261509877, + 580736514, + 385015357, + 403875469, + 929530461, + 238669238, + 984515965, + 79108220, + 573724580, + 836931529, + 352366534, + 513407711, + 900698142, + 765120333, + 93390432, + 684578245, + 663103540, + 582006377, + 469892053, + 601537778, + 141424392, + 962795, + 986151333, + 504333977, + 715399314, + 722165357, + 407045245, + 970883831, + 8324569, + 251292570, + 573937574, + 297369479, + 597815965, + 909138350, + 557885413, + 373570706, + 114990739, + 685285343, + 423174574, + 972783452, + 54499526, + 67403682, + 965595031, + 972766352, + 123976012, + 889548238, + 280645750, + 428400091, + 782225492, + 407289007, + 877161084, + 800282893, + 971875779, + 159511246, + 654890786, + 300496791, + 143920864, + 160334441, + 404107032, + 228721096, + 327861599, + 824678303, + 416794854, + 468793247, + 299089270, + 58948106, + 718321457, + 439535496, + 575362235, + 658956772, + 214779393, + 321356764, + 128277595, + 517014739, + 478649867, + 164028593, + 283130633, + 264668999, + 495499403, + 265406333, + 185244617, + 640109586, + 541964080, + 102107737, + 208632254, + 622769333, + 494824630, + 361490329, + 377983550, + 508273231, + 54518568, + 882484350, + 530206132, + 854014421, + 755849296, + 67115340, + 487154481, + 408161320, + 935323257, + 614337247, + 666581733, + 48467536, + 187657531, + 760725350, + 398566643, + 7146981, + 862334201, + 247318858, + 905977933, + 926505063, + 251734645, + 781733046, + 180417150, + 812532530, + 249892605, + 264572052, + 670975080, + 350914986, + 48110274, + 781125092, + 875364558, + 811342413, + 422431626, + 278719547, + 554239262, + 151216417, + 203411972, + 501117115, + 588148429, + 271937720, + 417721374, + 642515507, + 593731267, + 66317909, + 167637304, + 392653590, + 438937617, + 934449956, + 218410264, + 560497207, + 187328077, + 957927334, + 814297997, + 210897623, + 1736621, + 65784617, + 389020276, + 80739363, + 190749363, + 213618867, + 74507180, + 838983167, + 286006763, + 701420066, + 788042374, + 233564653, + 626303688, + 767659783, + 102157104, + 575175238, + 783039212, + 826771243, + 528025973, + 796183707, + 536690508, + 870526778, + 290775053, + 72711500, + 534832913, + 811426858, + 614973193, + 153212346, + 806849296, + 569066799, + 481470404, + 973453723, + 769594014, + 494863706, + 103797606, + 546764144, + 320714185, + 343519312, + 751131670, + 673793282, + 792203483, + 461312105, + 428652545, + 906905069, + 419045137, + 942952407, + 723905365, + 732436216, + 514671916, + 607962476, + 905707742, + 385506023, + 616954609, + 511797227, + 395393436, + 845246109, + 137281336, + 582527239, + 327383115, + 144698449, + 734454466, + 302640917, + 555853804, + 928950338, + 30571845, + 792887811, + 813082976, + 464359094, + 444088916, + 42382745, + 716467208, + 822465668, + 473360169, + 677599386, + 406104537, + 406157769, + 942403393, + 395890256, + 883398976, + 329214518, + 811093956, + 484346013, + 112427689, + 253025662, + 827388074, + 104744403, + 793966794, + 86386380, + 724718446, + 372172864, + 234153571, + 208559265, + 63894885, + 954768878, + 58844523, + 864673059, + 389090435, + 678138465, + 602904272, + 268200102, + 707794195, + 595335640, + 529858382, + 72068605, + 377076331, + 259593171, + 783348123, + 308077516, + 927019126, + 824260369, + 716173499, + 767684277, + 837690464, + 310702594, + 217029763, + 443995112, + 574670376, + 482718544, + 423892576, + 718278443, + 778858710, + 754658302, + 519088685, + 640410966, + 167427289, + 24640306, + 25396055, + 441568582, + 694929726, + 541769953, + 636961112, + 785822928, + 975346943, + 829567802, + 34575367, + 352245586, + 186339924, + 175653493, + 14771015, + 618591565, + 635537406, + 724117020, + 44130500, + 284622246, + 693222051, + 734735526, + 10707727, + 831624274, + 913622003, + 287127629, + 447394049, + 538957140, + 225015351, + 403210480, + 687725188, + 227988701, + 931691055, + 528054326, + 877312542, + 343338675, + 167221927, + 329056752, + 80671282, + 589218802, + 212692264, + 565152158, + 869591138, + 429376342, + 427741423, + 486946529, + 587436813, + 441879845, + 965931196, + 374936548, + 292200415, + 521946388, + 563599580, + 85086446, + 824607339, + 733133206, + 207769554, + 121068678, + 220982273, + 819716431, + 904338701, + 166961063, + 611032376, + 705352073, + 622934913, + 791340340, + 260483995, + 787693585, + 1141885, + 382826863, + 594729293, + 597077503, + 391246996, + 966016791, + 527623542, + 815845976, + 745160503, + 677676842, + 979957941, + 482458670, + 250427855, + 26066562, + 311853539, + 142913193, + 1437168, + 327924165, + 141804407, + 901560767, + 96295118, + 97201883, + 355215344, + 241170962, + 705473909, + 688417915, + 181768632, + 734058242, + 346993362, + 423378831, + 359295436, + 62746253, + 970169904, + 839611581, + 888687981, + 524381672, + 444789438, + 312355128, + 71386364, + 445292750, + 936224837, + 225298350, + 417946729, + 382556084, + 231430958, + 507699243, + 20177194, + 86983407, + 189408402, + 181576173, + 923900999, + 390819236, + 228006998, + 719498010, + 14854264, + 374790777, + 818428871, + 730863724, + 550633298, + 535662714, + 948502360, + 475801421, + 68412321, + 942830066, + 932783346, + 480016279, + 422515395, + 47079310, + 756255607, + 159091155, + 681799741, + 332332050, + 937143978, + 967389007, + 367629092, + 648049359, + 162700922, + 321055878, + 431934915, + 634655793, + 156104156, + 121365093, + 611057091, + 700302677, + 7970501, + 887164879, + 558922168, + 715763865, + 883700236, + 656013012, + 816655114, + 770519940, + 39703092, + 653455782, + 223307600, + 346309726, + 367314466, + 890825165, + 420817712, + 372623970, + 335842284, + 566954185, + 485756128, + 552618784, + 442011521, + 62159854, + 401894087, + 261397022, + 97059186, + 503564230, + 73918081, + 959162967, + 518136418, + 367163691, + 5151872, + 293041074, + 316308309, + 108403751, + 242536931, + 904879232, + 829805556, + 552320838, + 248257532, + 473124737, + 158575116, + 107000174, + 30777235, + 193406974, + 452496193, + 196258454, + 265589132, + 410933835, + 737880189, + 975688243, + 416716389, + 987572830, + 423018127, + 196037969, + 80484779, + 651989071, + 212384199, + 115089402, + 117437275, + 46842255, + 31476731, + 361197388, + 57072281, + 693718105, + 535234437, + 725466115, + 613456351, + 588014580, + 94056054, + 487495648, + 714499364, + 550023989, + 348905769, + 974193035, + 857748987, + 793488284, + 759950436, + 196492441, + 168751315, + 29124177, + 184825221, + 667834565, + 856368161, + 607855159, + 246660047, + 277461574, + 521003894, + 891376467, + 595113166, + 301941845, + 111112085, + 61405965, + 281597724, + 974558977, + 408019621, + 468088668, + 502197439, + 279310647, + 993253055, + 665756784, + 788847572, + 879992124, + 950425600, + 345539690, + 966023400, + 316942471, + 715070914, + 591088560, + 617503772, + 556830379, + 773995748, + 787558050, + 279577058, + 131826995, + 382821256, + 601427851, + 971944853, + 633452488, + 701461651, + 438142824, + 740416759, + 70319907, + 643663437, + 149802151, + 923642170, + 975800469, + 848854011, + 977778823, + 947359900, + 969666151, + 931222119, + 82232344, + 167086195, + 191365846, + 601927763, + 82166781, + 766998849, + 182717297, + 536148644, + 264266409, + 604190474, + 936534431, + 673671095, + 728572654, + 666279050, + 618196195, + 36390107, + 400601600, + 175978420, + 387397013, + 814283125, + 239259002, + 188023759, + 200639368, + 837038613, + 904635935, + 475083521, + 762929324, + 223257130, + 146917543, + 816709699, + 288857328, + 377527898, + 918811345, + 722647861, + 539028034, + 855355615, + 279931911, + 540135654, + 946488765, + 531906198, + 466332306, + 838934537, + 988469880, + 335297279, + 449464400, + 278921077, + 675351171, + 811151232, + 528885414, + 710379774, + 986918920, + 713459063, + 98123610, + 807198007, + 236117898, + 159753681, + 605036646, + 259804088, + 172174940, + 665595227, + 104936544, + 284150804, + 619867428, + 606215411, + 5319512, + 781096240, + 587856773, + 623108420, + 79564826, + 228366713, + 525910061, + 827203853, + 653552189, + 9768312, + 756794031, + 218171069, + 167853888, + 133462236, + 295297030, + 105201825, + 5130149, + 710012840, + 543872285, + 567746776, + 234321210, + 873445553, + 867252354, + 800359832, + 129641068, + 140072106, + 695689235, + 605588829, + 243752918, + 604799203, + 318258411, + 960675943, + 232609091, + 430555610, + 595056434, + 969985172, + 963008384, + 185716810, + 885261382, + 998828995, + 841347603, + 618839775, + 389267491, + 84957415, + 645521653, + 983107324, + 994778722, + 283239140, + 392853065, + 570455082, + 525265864, + 760049489, + 741772905, + 264601961, + 726686951, + 613524876, + 145408112, + 40625885, + 997814464, + 180337939, + 728791621, + 695830015, + 141109775, + 931308825, + 385772875, + 368714641, + 937563632, + 123544261, + 446760123, + 824198134, + 588324798, + 90060186, + 828382319, + 974133799, + 340177401, + 105123539, + 26622071, + 407820287, + 40771786, + 756632395, + 911235955, + 990491678, + 53345035, + 97502339, + 67092938, + 665080702, + 921172153, + 626201914, + 195577084, + 390512020, + 992043794, + 169386155, + 149899531, + 166684397, + 16796170, + 164466954, + 119590137, + 481617365, + 609288569, + 184388031, + 628854697, + 92860676, + 983844939, + 99680427, + 686568426, + 571075120, + 990032557, + 442417389, + 251450581, + 164254410, + 381164129, + 944068115, + 145002272, + 101983817, + 243608349, + 697568159, + 412596375, + 992308126, + 494904352, + 428526819, + 845656805, + 268870021, + 541225861, + 519160783, + 5099334, + 950882778, + 678757245, + 884626617, + 708448589, + 664696998, + 615677040, + 217265113, + 872804716, + 567443681, + 513882041, + 123323350, + 578067717, + 57065278, + 574759808, + 775492680, + 187557473, + 607175842, + 29180218, + 2455119, + 18319952, + 132596647, + 103398867, + 637481407, + 605336769, + 520564366, + 920851443, + 58903899, + 880531705, + 165458715, + 588677045, + 764846640, + 297423995, + 838381573, + 224583871, + 899659010, + 268323702, + 132967197, + 822224955, + 155696800, + 565510980, + 834486992, + 18256804, + 252649333, + 43819866, + 430367059, + 500977729, + 797867259, + 940973627, + 282513313, + 491961969, + 598882054, + 13602513, + 679674211, + 481554363, + 586945915, + 496495700, + 752232056, + 954166397, + 954298366, + 55025888, + 565313035, + 918603932, + 412570266, + 22153414, + 803620999, + 798817269, + 571500583, + 38196439, + 156666960, + 811340418, + 138134232, + 370769305, + 119794266, + 630864467, + 238318747, + 558279114, + 599064212, + 553610059, + 792871213, + 747154688, + 621483479, + 291142516, + 101862075, + 415000410, + 490998600, + 615681028, + 469291876, + 241282157, + 479336353, + 627312947, + 598677488, + 618819578, + 640186835, + 816484044, + 760066970, + 491271083, + 88260878, + 636406709, + 531369929, + 496853294, + 470267415, + 143282696, + 747704526, + 180207084, + 765816832, + 661865365, + 876685690, + 446608755, + 660681025, + 307535566, + 359219886, + 831583227, + 815032603, + 672575391, + 783653862, + 655277325, + 944355197, + 390941478, + 484381181, + 946609427, + 620170407, + 782579233, + 751725101, + 983199507, + 818953684, + 128673169, + 219526396, + 549951169, + 717495947, + 593452942, + 419247680, + 726357612, + 18382476, + 734815070, + 572905901, + 139546327, + 320139298, + 54138237, + 150915940, + 395035118, + 672869950, + 514868732, + 199267821, + 615974640, + 114057388, + 739864921, + 389417176, + 644860667, + 740342322, + 186751832, + 201880925, + 287548787, + 21329501, + 486365551, + 765273525, + 669219675, + 453795955, + 250296480, + 719679999, + 952992405, + 731270144, + 870695960, + 750098028, + 186352894, + 383961924, + 799664893, + 465944661, + 411987498, + 470245369, + 23594191, + 547566212, + 743774299, + 891557239, + 942147372, + 597576533, + 357372628, + 728050360, + 510288758, + 951440146, + 410551828, + 607457169, + 635126707, + 415989863, + 790798273, + 965524170, + 893455338, + 811907037, + 316922844, + 809393335, + 556536212, + 66661633, + 643135678, + 410903180, + 397258366, + 95945435, + 408402347, + 496201055, + 690634400, + 332769895, + 686150258, + 946988254, + 997524376, + 328236901, + 691213884, + 433588440, + 894221098, + 618683502, + 549797117, + 820493944, + 21849067, + 233983857, + 971203012, + 735347595, + 864928653, + 756487259, + 144521247, + 528392463, + 770921151, + 63286842, + 649572421, + 342109802, + 677790049, + 839286235, + 411762911, + 732728370, + 874725433, + 404540450, + 334657812, + 982352847, + 597947922, + 336347042, + 244517921, + 401108928, + 604070846, + 246533487, + 576752480, + 122791025, + 159407012, + 98018885, + 149300758, + 907576475, + 582989493, + 656486610, + 729186244, + 593416575, + 66645207, + 939899866, + 694461893, + 711375394, + 764363426, + 348523616, + 423268482, + 830658001, + 39295969, + 120548978, + 374234511, + 794449039, + 351001313, + 555062424, + 28520307, + 281935654, + 488020862, + 138889010, + 193876725, + 62662983, + 379490308, + 10947060, + 663964153, + 12199270, + 272938260, + 896325792, + 918042111, + 989752174, + 308315644, + 193830720, + 611436517, + 447015411, + 217607258, + 351124805, + 289496740, + 259742886, + 991696562, + 878104069, + 911155562, + 945159481, + 101906088, + 630001906, + 84560183, + 566159088, + 470042817, + 251625904, + 362325543, + 310900152, + 14987631, + 437814157, + 15030670, + 569630791, + 327434574, + 327550948, + 26186724, + 205152207, + 777284131, + 205007434, + 294932224, + 913112300, + 878054253, + 374228747, + 253043513, + 592849847, + 49237040, + 29306282, + 433331498, + 245280766, + 183603567, + 167252171, + 567699306, + 644539731, + 357712723, + 682672537, + 798432371, + 297886765, + 623731830, + 260225308, + 431352164, + 493101145, + 718654901, + 933886506, + 191764377, + 288517215, + 843296759, + 801745597, + 790147029, + 959206572, + 642836159, + 468362956, + 372053143, + 706561128, + 655631550, + 297371956, + 354061014, + 416854565, + 309982049, + 521087665, + 345653392, + 749903572, + 407200424, + 568669943, + 849567112, + 15192838, + 725869046, + 899758914, + 793152637, + 290837835, + 892644475, + 857762152, + 453070873, + 266558755, + 696416538, + 517386318, + 50036308, + 581667743, + 704226191, + 955470580, + 374426073, + 237211940, + 420828485, + 45175313, + 125090090, + 692258263, + 592263696, + 15200387, + 27595697, + 741910346, + 603200540, + 743988815, + 729359887, + 732489696, + 615065305, + 76817202, + 651434099, + 512910478, + 600690492, + 456588455, + 627352611, + 63581066, + 704665403, + 178897911, + 144808632, + 182585581, + 827401883, + 265170395, + 347102582, + 225262649, + 711566667, + 64342827, + 172297813, + 680689415, + 653157974, + 455027868, + 225951198, + 926260588, + 488613261, + 723122790, + 413538635, + 526292865, + 605058272, + 122444762, + 499063910, + 239576106, + 855545608, + 366999014, + 52576115, + 654862668, + 516321679, + 515768005, + 946404237, + 824035465, + 996537835, + 452167144, + 316440751, + 104837732, + 180697653, + 34266449, + 918274089, + 203712902, + 764898797, + 107257420, + 427693199, + 822768566, + 94451989, + 586892301, + 433896931, + 929634829, + 422140343, + 362538623, + 465251389, + 977241649, + 757073661, + 232342709, + 302511918, + 680290054, + 181027720, + 961740537, + 557527184, + 822812203, + 41813544, + 638055631, + 870810303, + 735037865, + 418981743, + 463511022, + 320911808, + 63706573, + 257138435, + 475416110, + 809623404, + 594260350, + 857652934, + 454694824, + 858602992, + 969595721, + 326968804, + 14988992, + 432334801, + 322679960, + 314188775, + 493701495, + 1584241, + 891621337, + 872379884, + 986673900, + 429590064, + 449708667, + 884353210, + 484647236, + 767717927, + 292287281, + 937636319, + 703385172, + 333613842, + 12038761, + 72765034, + 4629036, + 212319376, + 786654340, + 671726618, + 51605123, + 13556407, + 398401616, + 775360784, + 785762811, + 133158091, + 690696513, + 674415586, + 673707909, + 497796836, + 701725222, + 94192824, + 410125685, + 786989383, + 805904451, + 412862013, + 379374435, + 63670185, + 318658974, + 347353204, + 943204109, + 913718582, + 951528951, + 838054244, + 231290062, + 952677930, + 694177863, + 618921755, + 184658152, + 25263442, + 385997495, + 142754720, + 142552457, + 274776214, + 809241935, + 282743041, + 766959763, + 481050180, + 251570295, + 705475545, + 386722760, + 230383380, + 538197624, + 919653811, + 707976563, + 231838108, + 537326870, + 458669111, + 908015465, + 263853802, + 685861186, + 202563917, + 366309202, + 586940679, + 955502075, + 179812569, + 432980022, + 79930227, + 547834923, + 538476664, + 693116219, + 643881604, + 775827007, + 120993376, + 638437849, + 42601814, + 96508068, + 517387810, + 95291891, + 941984470, + 964569443, + 25494283, + 815959562, + 787711518, + 518893947, + 479078916, + 909037807, + 323130480, + 706037475, + 573730142, + 851003861, + 660361587, + 613700741, + 566428083, + 637235230, + 479175999, + 682993859, + 684835656, + 603223172, + 316921672, + 178842642, + 242839228, + 487153888, + 685567124, + 299490793, + 145839658, + 625221913, + 204315802, + 290304084, + 307043469, + 466356150, + 215147396, + 78745548, + 618602723, + 953110101, + 562069561, + 694890071, + 340410824, + 33636060, + 854874903, + 662873406, + 823310730, + 831822412, + 321719658, + 930704739, + 282035251, + 417560903, + 569331577, + 423011538, + 709600013, + 332351873, + 391464047, + 167737715, + 629624495, + 856206434, + 826234210, + 697305010, + 152885062, + 892427253, + 29637942, + 270421413, + 34673425, + 882372067, + 804532432, + 871781568, + 742390034, + 402880953, + 289632223, + 939524086, + 617785294, + 962688520, + 960021553, + 368271433, + 283745154, + 476425574, + 462479116, + 998042622, + 398163969, + 940256407, + 82549069, + 838396746, + 371892746, + 705420883, + 268679931, + 859521948, + 388041221, + 612300846, + 595583727, + 474357807, + 863823299, + 446828441, + 183897515, + 818364938, + 315364050, + 389213110, + 434982132, + 6343493, + 340098552, + 937729566, + 675867049, + 6824016, + 496951707, + 203628591, + 839810773, + 722757306, + 264053774, + 775718649, + 555443808, + 415528797, + 434809260, + 642234792, + 692186694, + 405341627, + 873715142, + 792290732, + 495417002, + 415539990, + 286166750, + 331191828, + 608110787, + 719200625, + 918985067, + 192485553, + 965301213, + 592154672, + 36807349, + 294124513, + 552399006, + 541290759, + 105068730, + 307884250, + 589854908, + 685494170, + 805964384, + 31875127, + 169103033, + 285111080, + 201032005, + 625515179, + 48026210, + 397029570, + 817454832, + 497217729, + 752862461, + 372519251, + 26306954, + 73147961, + 316888808, + 596915705, + 483516859, + 730906767, + 861222836, + 967216340, + 868868788, + 233422130, + 833254589, + 109244862, + 127023207, + 27757930, + 303200182, + 248407370, + 655152703, + 393733906, + 691343563, + 385494745, + 819688892, + 131913159, + 142553484, + 525075633, + 994192992, + 295379830, + 124323748, + 850685329, + 353405161, + 227421839, + 191971420, + 343431203, + 617771573, + 324501375, + 981275176, + 567797423, + 143371399, + 500238099, + 846272276, + 466980313, + 817426716, + 294469226, + 103033984, + 812725381, + 506989377, + 60851078, + 55315776, + 963023795, + 990941898, + 664863468, + 441446069, + 509293157, + 10289983, + 875757321, + 750312219, + 367943466, + 29054920, + 327609316, + 633987446, + 420126758, + 781003698, + 183600821, + 227136872, + 171356450, + 780622788, + 744747104, + 946449902, + 107669309, + 832192553, + 629929208, + 458490493, + 547108399, + 302766754, + 22066636, + 146395869, + 968152701, + 621437442, + 678991292, + 715353943, + 856000396, + 676641361, + 404219440, + 303715791, + 360141438, + 383432141, + 744456336, + 881961773, + 788571532, + 782398489, + 776643166, + 472810939, + 132010569, + 726342873, + 421677461, + 84965271, + 389408152, + 304101699, + 737683122, + 634075591, + 242558542, + 969695879, + 73878962, + 447693755, + 333134928, + 208553345, + 700106979, + 101005444, + 502839233, + 968588110, + 301214674, + 86078302, + 565025101, + 946587577, + 5004926, + 242908143, + 105430837, + 607089096, + 819096348, + 438763921, + 156791832, + 843483562, + 513102877, + 736794236, + 635164566, + 545868062, + 343711869, + 962801428, + 297202258, + 505419493, + 637859373, + 206843930, + 946452462, + 595585659, + 653011644, + 37763284, + 670080065, + 969997130, + 219168554, + 204609473, + 745717117, + 566476591, + 77148512, + 473725466, + 798642833, + 136079116, + 869909785, + 230771057, + 748288891, + 364001209, + 927460218, + 996075513, + 680430909, + 42441610, + 674549448, + 397174874, + 878110845, + 884561876, + 219080884, + 75077426, + 27011483, + 24185976, + 396510846, + 879278485, + 267557403, + 280322417, + 410844278, + 870455215, + 326409524, + 849196762, + 365413106, + 732548957, + 258006568, + 846700589, + 401415954, + 51563804, + 978610807, + 218837934, + 237197069, + 879996354, + 620870954, + 927681663, + 744796094, + 236238048, + 39893115, + 461657565, + 976900460, + 881764632, + 510309740, + 813134240, + 468295085, + 958722941, + 276304042, + 377689911, + 956863880, + 802574705, + 350264517, + 576683798, + 386489803, + 276943744, + 544178554, + 535528091, + 735387198, + 47239867, + 511748969, + 613569565, + 577026289, + 440241817, + 894369028, + 442294696, + 595541233, + 759430860, + 230658750, + 33194482, + 9018475, + 772487398, + 823225496, + 739246458, + 642639746, + 72435085, + 784029723, + 486064082, + 640736528, + 446789989, + 258899834, + 443225817, + 596626310, + 498286619, + 773364594, + 947480794, + 835197406, + 760762719, + 41907061, + 883648337, + 2542583, + 37352935, + 358409243, + 560526881, + 467454380, + 349422184, + 515182609, + 934320882, + 365701333, + 965364535, + 469163560, + 245169175, + 748857412, + 560654164, + 203960829, + 265071699, + 22830403, + 58590920, + 781669190, + 630576597, + 107482783, + 328192249, + 721949577, + 379734539, + 909579292, + 813616762, + 221416409, + 410935964, + 763116134, + 985177126, + 509703536, + 712930735, + 233085423, + 32440014, + 415317994, + 149826509, + 766898405, + 862759587, + 393820917, + 704227059, + 161637746, + 718214728, + 481726854, + 392868702, + 855117242, + 881619325, + 223740547, + 746058325, + 575605063, + 961096072, + 501003615, + 80398909, + 877348041, + 695475912, + 947140648, + 884024653, + 480080065, + 194783250, + 456051991, + 717923226, + 854891835, + 766897337, + 887829018, + 91690281, + 901618733, + 772610970, + 670226974, + 273476133, + 990547810, + 32989547, + 897210953, + 816375976, + 740141462, + 590994377, + 258446298, + 372417164, + 344795065, + 95619953, + 397449674, + 862693153, + 371263306, + 101075464, + 446398609, + 609922743, + 828611072, + 903739689, + 522297594, + 664117649, + 419154370, + 869152036, + 298633688, + 423454105, + 187810731, + 489360810, + 720057777, + 985418768, + 473673771, + 328792264, + 468341710, + 704041164, + 330948557, + 843503911, + 626829699, + 490934662, + 387876112, + 276679881, + 366734048, + 219251492, + 647061435, + 374949591, + 943556929, + 334267900, + 963936199, + 687170980, + 261784422, + 233661289, + 666768851, + 176585140, + 761365346, + 458524679, + 1365341, + 734297995, + 777269140, + 651733478, + 478798108, + 661958776, + 235362170, + 544666175, + 545582226, + 493427706, + 402572203, + 432145273, + 903239952, + 368599370, + 994970544, + 292780901, + 273694082, + 535738376, + 629672643, + 16354924, + 442927878, + 660586277, + 306333132, + 278083948, + 644878960, + 12671259, + 598479702, + 128286889, + 683015784, + 799323341, + 859419201, + 824537103, + 674267069, + 142426544, + 826355759, + 538828025, + 511996982, + 449870741, + 317944831, + 701491269, + 676518779, + 611286957, + 28936815, + 693252686, + 803537626, + 496609635, + 670755406, + 796384361, + 852646656, + 232242238, + 937349396, + 922863817, + 467340556, + 788522757, + 687101594, + 250724379, + 662754127, + 235058585, + 822939651, + 104616424, + 107510309, + 411422977, + 565136230, + 99256726, + 199188691, + 30052947, + 796830131, + 83566260, + 328079881, + 926101276, + 559702885, + 220710684, + 84758958, + 309674098, + 355334299, + 419392991, + 634666122, + 298351196, + 909715122, + 914819256, + 427994049, + 216485586, + 175580335, + 655354939, + 18832455, + 197035464, + 730239175, + 590225844, + 145510470, + 91101044, + 39686928, + 750206318, + 997530665, + 460218503, + 540388440, + 170551234, + 983737939, + 166768684, + 25217455, + 865036914, + 119299096, + 358587936, + 29316322, + 530732155, + 868810687, + 636190044, + 123130648, + 617542815, + 141428413, + 202689068, + 846457769, + 727993996, + 331508262, + 931541016, + 413185813, + 97655363, + 336663536, + 983479606, + 839805749, + 707771189, + 121230316, + 311908997, + 305864708, + 938222845, + 229752577, + 135305188, + 464492704, + 15073015, + 292879587, + 939694803, + 834590630, + 304738012, + 590950426, + 385863837, + 536614333, + 27956055, + 106317597, + 971650056, + 889159030, + 529931743, + 787429329, + 738588281, + 164048348, + 7573131, + 436568335, + 148601717, + 186435698, + 493481895, + 313944444, + 244766093, + 173139073, + 367910876, + 703458416, + 940648505, + 49913651, + 126209058, + 938895686, + 667679312, + 12244943, + 76845108, + 123681146, + 619255043, + 841233041, + 149512881, + 376379572, + 572251037, + 826790995, + 31001256, + 123592080, + 664489978, + 561385136, + 511490921, + 747179159, + 421024757, + 936529513, + 302661071, + 713855076, + 505817587, + 516775487, + 306762097, + 487810794, + 957547345, + 254874401, + 540169914, + 620181221, + 468719021, + 342685031, + 710842591, + 924082934, + 247024472, + 674739047, + 565850079, + 224034255, + 240926021, + 448742819, + 754037457, + 917595012, + 324997604, + 229117837, + 890941048, + 4350978, + 756373034, + 536419305, + 742475145, + 953564491, + 29497969, + 421245401, + 883936821, + 383205213, + 255934756, + 149198382, + 639578068, + 53664636, + 224362434, + 205459513, + 486306838, + 690199980, + 816540211, + 527601089, + 257074627, + 437685854, + 422294399, + 883824417, + 32138806, + 273758513, + 240900622, + 482952612, + 153987760, + 194758425, + 888007203, + 616723345, + 23823002, + 673662071, + 848365761, + 364849877, + 886949380, + 392374958, + 267855989, + 943547863, + 980132320, + 141884465, + 644499295, + 108367149, + 769565987, + 38386744, + 212492274, + 780629310, + 363660892, + 246365928, + 327437464, + 733902662, + 721604832, + 257077501, + 53492345, + 795277369, + 195112337, + 609235799, + 585430106, + 265034886, + 857887409, + 278229402, + 839860985, + 528911194, + 685935169, + 524581336, + 399400347, + 125056922, + 301188130, + 206486595, + 558612778, + 416797215, + 907709853, + 368632198, + 246634392, + 732529103, + 764151385, + 255550230, + 1327742, + 652571009, + 785238148, + 14062355, + 503964208, + 861458116, + 205538384, + 848011074, + 65586906, + 160377035, + 668878835, + 300986452, + 767676277, + 430524754, + 993697215, + 160207020, + 625197433, + 446712213, + 666913992, + 852688651, + 930342836, + 255680911, + 171298495, + 217001178, + 207019747, + 590485953, + 405323270, + 551520189, + 67263403, + 452344587, + 567587838, + 504739749, + 414052004, + 200274843, + 862322109, + 16387939, + 416581666, + 648845286, + 954271441, + 398642850, + 597813831, + 164584985, + 399048495, + 481442014, + 976928302, + 530777389, + 112058457, + 861629000, + 377847883, + 684686922, + 710588957, + 168014918, + 547129386, + 420498235, + 895952178, + 769617672, + 45145289, + 821303043, + 905514307, + 984459587, + 680519531, + 117797884, + 915933931, + 803663551, + 695255132, + 987791451, + 915682437, + 287984977, + 477123814, + 559834830, + 610324883, + 649740481, + 404142999, + 701690798, + 230367935, + 329901574, + 707870110, + 453667203, + 361204604, + 681205892, + 979373283, + 329013081, + 412494647, + 918411198, + 620006712, + 165119554, + 135905365, + 649996880, + 434298598, + 445293996, + 129894730, + 673283816, + 11033069, + 399438711, + 240376587, + 920059050, + 670559398, + 829320614, + 475384761, + 689497510, + 757038308, + 301415194, + 159197404, + 982401358, + 955727018, + 997545641, + 922047100, + 319154075, + 975479615, + 35083202, + 845181396, + 340982785, + 938695471, + 597524931, + 944165141, + 753539070, + 345361932, + 529808647, + 135115662, + 823371188, + 321965178, + 638261988, + 909023726, + 261360328, + 372692914, + 989690426, + 738338716, + 428603689, + 52946489, + 167024884, + 883819276, + 749101057, + 865879762, + 681036676, + 590525400, + 286081224, + 643529930, + 841154652, + 576582473, + 612880803, + 984889221, + 61281553, + 847306991, + 597648641, + 496267532, + 837438247, + 592993499, + 508398977, + 637007695, + 464810390, + 805656527, + 765722137, + 498580299, + 129392761, + 103926056, + 334696358, + 800924047, + 456366900, + 185229520, + 29074159, + 36850698, + 975078288, + 903175906, + 932774519, + 755802543, + 136900796, + 463467897, + 355103728, + 507918752, + 548729291, + 199561754, + 296024627, + 154456203, + 375868491, + 725506318, + 297169837, + 381323083, + 487310233, + 54331073, + 297611765, + 373829094, + 491966532, + 741655139, + 13338732, + 248199871, + 132146352, + 447386148, + 762036071, + 557439512, + 58980653, + 721304850, + 967131217, + 897728621, + 115577377, + 260508187, + 677557613, + 647378340, + 865060498, + 579142413, + 186915351, + 467776712, + 31547286, + 501341172, + 925122975, + 250060417, + 798741671, + 614163312, + 526451405, + 777675638, + 510679093, + 461511331, + 262360306, + 73085046, + 605239644, + 513921574, + 329245096, + 937630979, + 819064596, + 783856835, + 470069798, + 764849993, + 860546206, + 263142865, + 61428739, + 6415401, + 972775086, + 580164460, + 624296144, + 705505999, + 191565343, + 184182062, + 271339198, + 784753373, + 719863860, + 210534795, + 424038326, + 764688390, + 560023913, + 88272533, + 448736632, + 123513730, + 590925424, + 80148205, + 447412456, + 70724481, + 952981183, + 631525384, + 452064578, + 677612798, + 645170735, + 547509443, + 539758381, + 187395827, + 332891505, + 275033815, + 130320546, + 958732610, + 559227667, + 850477899, + 406932198, + 469643375, + 973347536, + 483973136, + 300878848, + 642475117, + 348037229, + 42711220, + 695864161, + 652645462, + 626473666, + 447468890, + 875241919, + 759096086, + 114821358, + 271174409, + 241566409, + 453364579, + 935056484, + 476670049, + 460459902, + 639682433, + 473452218, + 661801978, + 566581105, + 626496125, + 232322929, + 615541556, + 484644357, + 535009066, + 573856450, + 907995003, + 114265481, + 221868820, + 533693696, + 164916559, + 195713052, + 572331702, + 783958724, + 126163428, + 64963075, + 91162342, + 909240399, + 473783717, + 992499679, + 423634830, + 605310627, + 70262991, + 916599077, + 573950512, + 640517077, + 29644207, + 153245705, + 981072101, + 900472042, + 844130686, + 562028106, + 639952337, + 533486527, + 805373863, + 201372110, + 174465573, + 605942097, + 184262291, + 697915325, + 419002204, + 149236003, + 898915383, + 847176023, + 395199352, + 656869813, + 707842680, + 800671491, + 537949516, + 926062478, + 232078956, + 139060572, + 924787823, + 253109262, + 20375925, + 89815406, + 100258326, + 966716240, + 943541002, + 717744009, + 787679220, + 687647881, + 493817776, + 817448728, + 257970540, + 810866105, + 141604906, + 358306054, + 776977509, + 363130503, + 513825762, + 998760571, + 998356719, + 324368334, + 580253382, + 519580797, + 570844020, + 715684889, + 315473019, + 49072851, + 508711666, + 995876752, + 408269070, + 628748246, + 59555216, + 506776737, + 461443393, + 283353345, + 608189248, + 797503564, + 836162910, + 377928741, + 457550295, + 324968660, + 410800720, + 200313302, + 901292750, + 833250159, + 436144304, + 707758788, + 267749459, + 804483462, + 52918975, + 397335519, + 796360897, + 612225389, + 767012807, + 113321643, + 620696030, + 113820266, + 178450313, + 697155928, + 613507776, + 551871482, + 737386087, + 882441629, + 958565563, + 952863862, + 140073618, + 958231393, + 589424726, + 185135144, + 417710062, + 797313955, + 186078950, + 570707058, + 514513684, + 37352809, + 282544221, + 382384210, + 798410320, + 140720687, + 405660084, + 493941546, + 601085531, + 198018405, + 62340345, + 94101442, + 45399524, + 870494516, + 865955322, + 723554973, + 171498166, + 883964931, + 764539842, + 608222461, + 71640960, + 446493794, + 133211198, + 108411161, + 293645761, + 429474864, + 939516301, + 791817781, + 308459625, + 447485394, + 950758601, + 999531631, + 940578496, + 219411620, + 341116937, + 641962079, + 750827771, + 775299748, + 303180650, + 906868409, + 204207846, + 97042683, + 65661802, + 388535964, + 412591276, + 416859497, + 216786621, + 479909856, + 861633571, + 728974077, + 869461065, + 773789902, + 566293437, + 614149181, + 343123668, + 35163812, + 72826970, + 552486119, + 665433736, + 564795395, + 640465676, + 586777476, + 694156637, + 594202116, + 259555719, + 90627804, + 593802781, + 270625542, + 99366167, + 203058221, + 52590351, + 391564726, + 603563747, + 447412760, + 945863113, + 376856144, + 653854652, + 346141118, + 502895080, + 224688055, + 134942855, + 169144956, + 232271940, + 592365279, + 405505080, + 86909757, + 945925330, + 218377727, + 590708721, + 490058061, + 28189435, + 701505430, + 581394443, + 908073195, + 406705884, + 725264687, + 621885455, + 512485571, + 912057647, + 288940309, + 169796418, + 716211630, + 398938393, + 915802552, + 371715301, + 843655439, + 852821406, + 7379719, + 132189037, + 998829660, + 188939417, + 356778987, + 92198633, + 670558547, + 667680433, + 270284608, + 904862789, + 78357598, + 906618243, + 511349689, + 780176215, + 18125042, + 162405450, + 817056828, + 591116868, + 346633153, + 380552864, + 614032186, + 332863159, + 833252284, + 465921229, + 251682389, + 843091265, + 9169544, + 109048041, + 172282158, + 161379540, + 721234131, + 66794052, + 732461106, + 506306742, + 256553515, + 340285247, + 935824576, + 75659822, + 380330783, + 793039476, + 237625382, + 803170181, + 35274381, + 830596382, + 464853621, + 487545536, + 821744498, + 652607434, + 496588420, + 687384982, + 699399627, + 70594307, + 251442115, + 298057422, + 477394417, + 164837461, + 250611419, + 998189708, + 706811300, + 955065647, + 890764476, + 731020470, + 963233464, + 445448825, + 459309330, + 980369460, + 492199603, + 889138818, + 246981363, + 333995270, + 458999039, + 983410294, + 482757429, + 717539177, + 616332726, + 46553293, + 674745752, + 48600257, + 367098880, + 806247562, + 625295688, + 699601276, + 50885775, + 911509850, + 538844814, + 827766470, + 142558354, + 5120653, + 619099823, + 779262941, + 950287566, + 492216660, + 487259474, + 389102550, + 788575361, + 595643031, + 223979653, + 946678423, + 462033493, + 986592525, + 593352550, + 662079648, + 615254985, + 381075875, + 285781416, + 920774892, + 123990354, + 7642886, + 880728427, + 250121837, + 147806435, + 667728587, + 48494157, + 466875106, + 589384633, + 438678092, + 749761802, + 805692707, + 863896663, + 64304501, + 438729963, + 742751265, + 872610969, + 606778014, + 932351231, + 432870767, + 589587147, + 77846731, + 160503820, + 314904606, + 219392231, + 403738644, + 189509473, + 76493455, + 640786605, + 935435032, + 78069564, + 332678494, + 472895927, + 54436614, + 984385838, + 788047696, + 982969656, + 924631685, + 729030317, + 608148300, + 931771973, + 553909071, + 614387377, + 936876741, + 795653029, + 973982396, + 736223525, + 693683324, + 534640149, + 35253693, + 222806424, + 216770662, + 884041549, + 302578549, + 689384229, + 134050994, + 100464724, + 537050312, + 765114859, + 345414955, + 631022153, + 854630404, + 408594653, + 294442033, + 406716511, + 844625072, + 44315075, + 459833534, + 390923804, + 125730126, + 101195539, + 597508169, + 717533794, + 915994667, + 52077401, + 21090568, + 672883128, + 409153209, + 196002440, + 80658097, + 961074704, + 736183168, + 808520994, + 826200405, + 47057328, + 92774242, + 95886216, + 623442280, + 739367536, + 191026639, + 692278691, + 537637247, + 537247363, + 981697533, + 371311332, + 248448171, + 561838845, + 516644909, + 881082062, + 440694382, + 81000096, + 943933394, + 687880704, + 676037296, + 375911857, + 817552907, + 258373260, + 881226399, + 464643851, + 978774698, + 49444695, + 350268855, + 563448863, + 362438092, + 970626506, + 554353997, + 734565833, + 542032398, + 175582544, + 298270202, + 287609736, + 660670233, + 683791071, + 396109163, + 876888663, + 991111263, + 631367508, + 364094331, + 876097191, + 369437440, + 228842873, + 488450074, + 911360650, + 992454449, + 967717535, + 951932712, + 662479410, + 96641967, + 143659822, + 507125269, + 977777499, + 708992967, + 972482057, + 566844102, + 336043380, + 813060644, + 349385059, + 917443587, + 223220003, + 566932995, + 169319676, + 172216017, + 571450955, + 865740288, + 185167813, + 306818048, + 898252501, + 153978412, + 158786163, + 938485904, + 272370562, + 903836928, + 313041514, + 587712317, + 478452473, + 506728329, + 607674144, + 647405864, + 167393292, + 476475855, + 165745887, + 589742891, + 824693663, + 863753186, + 79914725, + 334083057, + 63341280, + 767751288, + 51460653, + 925134194, + 224301059, + 319231096, + 347423331, + 320389221, + 483633482, + 136883141, + 100752258, + 73926087, + 842199766, + 646217872, + 747107281, + 571791896, + 28444942, + 251855323, + 352105490, + 982552975, + 111452523, + 151178798, + 436225946, + 801416953, + 684891089, + 805172230, + 917849135, + 607329545, + 966992665, + 97948961, + 344191586, + 921651440, + 447042916, + 503036538, + 832947322, + 132347388, + 226763543, + 904685120, + 748923658, + 239475811, + 592388209, + 792215450, + 879598668, + 956609297, + 871618627, + 184872916, + 131475466, + 797240238, + 426871754, + 238242657, + 184352166, + 434067197, + 76810734, + 664414810, + 602888680, + 119839802, + 526524765, + 833539607, + 432473712, + 79331156, + 751993769, + 527845274, + 908787850, + 691768898, + 890998586, + 105334182, + 957542713, + 434382156, + 569518909, + 948563423, + 894355818, + 523866029, + 115221272, + 6744199, + 352434384, + 617774096, + 64083445, + 466018876, + 678396955, + 938004562, + 777455809, + 54355508, + 500347762, + 802014403, + 120821223, + 509460888, + 722171649, + 435134284, + 683525175, + 459229050, + 868414680, + 974772475, + 799829253, + 995976281, + 716897108, + 492744407, + 486069460, + 541357860, + 195679307, + 370205034, + 77676430, + 549400064, + 151022726, + 286233203, + 68063311, + 909107695, + 901384974, + 679478588, + 219545058, + 884622513, + 396038513, + 393446745, + 368426319, + 471250956, + 905938934, + 639822755, + 851206842, + 680813257, + 548987471, + 132314410, + 72587405, + 541149292, + 705589059, + 697154968, + 869086704, + 550143162, + 520311187, + 665526413, + 570679823, + 923509313, + 4912212, + 832046583, + 947611115, + 214702149, + 98522999, + 162175966, + 96868044, + 566904955, + 895067889, + 988383296, + 957742934, + 961954191, + 727237571, + 538969495, + 976771514, + 246432704, + 989756732, + 361994716, + 30679845, + 670285846, + 483122395, + 549244483, + 121121426, + 547805193, + 12545488, + 396479234, + 814713828, + 639008946, + 210712956, + 269924870, + 89316836, + 165144976, + 330994680, + 446115671, + 148685934, + 635241726, + 370279875, + 579214642, + 782524018, + 420115210, + 396977481, + 37863909, + 438672305, + 591486826, + 586415211, + 920169895, + 674715168, + 965518556, + 865850491, + 728515089, + 983732207, + 381162951, + 912712524, + 17643208, + 109540704, + 910225970, + 97847418, + 587051007, + 676220237, + 18904025, + 959038019, + 913811522, + 148011983, + 89793829, + 686367744, + 373329377, + 203461540, + 861869669, + 496104214, + 875124123, + 313770236, + 863982276, + 687209589, + 142226371, + 883075725, + 665245862, + 214495766, + 568541616, + 945487020, + 365530074, + 570640409, + 362257350, + 651184978, + 531458757, + 761605439, + 160455445, + 635550563, + 693820374, + 43361353, + 398132337, + 971047098, + 713392220, + 606761403, + 209891738, + 39743260, + 702507466, + 20043366, + 838735703, + 55762404, + 769294647, + 812132291, + 975560770, + 242842641, + 900416151, + 71018767, + 782696746, + 99691068, + 185258526, + 222673914, + 868562818, + 169319514, + 536478360, + 287421184, + 341941677, + 169286393, + 409051003, + 839842461, + 869218082, + 633764226, + 114540651, + 949228402, + 530142310, + 281447409, + 740027257, + 517096274, + 898318011, + 63685075, + 378744503, + 610545107, + 304231458, + 644847196, + 511516533, + 682959351, + 149315847, + 266814040, + 319263452, + 267776019, + 848238787, + 750926765, + 840045327, + 862325117, + 348733864, + 298138703, + 284103598, + 598492580, + 156001880, + 70279098, + 474460193, + 55455136, + 869473966, + 756409230, + 758012695, + 298015263, + 525530124, + 386557302, + 211952772, + 335553538, + 957935662, + 244349152, + 354739297, + 720795168, + 485356310, + 123375568, + 127688490, + 524548650, + 233259706, + 673615856, + 905091702, + 872192099, + 565369869, + 678722703, + 998707985, + 214658472, + 14750930, + 551578757, + 954889053, + 51954916, + 193284787, + 168201586, + 728476660, + 929438341, + 351726612, + 315727004, + 861429475, + 536919812, + 343507402, + 340090007, + 957939125, + 896896141, + 108832853, + 969619126, + 854127712, + 908048109, + 226093267, + 481683719, + 862001740, + 83009830, + 719129431, + 947949324, + 682702677, + 765969829, + 920320169, + 430992852, + 944702337, + 21696046, + 595218194, + 71718902, + 456900254, + 401937727, + 940533337, + 494203404, + 420795947, + 936000370, + 793390778, + 898448496, + 886943470, + 723450332, + 167326337, + 671009820, + 905745253, + 79751207, + 44135507, + 471347988, + 76469739, + 852248037, + 23228115, + 855406855, + 77040443, + 490388316, + 718114335, + 158903506, + 46272561, + 696770576, + 233752836, + 236411556, + 840163347, + 655377204, + 430704745, + 690839716, + 457192987, + 311567722, + 643311361, + 710309085, + 719450806, + 692934508, + 675093608, + 602377699, + 560004843, + 887192737, + 22411572, + 700243769, + 778601769, + 475398829, + 416714946, + 333179498, + 377534651, + 722464325, + 572207172, + 774386588, + 605749620, + 126491177, + 722624992, + 792360758, + 80682917, + 702867878, + 690550568, + 690575300, + 727975933, + 517876721, + 673831410, + 103814711, + 280342868, + 430219673, + 870955233, + 922615792, + 495412461, + 273205147, + 303205068, + 217276601, + 155926139, + 650525550, + 607250188, + 153066784, + 754460842, + 123776351, + 324631794, + 201912444, + 902626410, + 200004682, + 196197395, + 991865543, + 851427095, + 853377876, + 76141036, + 745644546, + 141393876, + 705712792, + 842861082, + 625257810, + 772385545, + 894792161, + 252360651, + 219017589, + 277016199, + 302023929, + 623389210, + 253319888, + 608772325, + 244520059, + 331285887, + 24354541, + 709469850, + 69520653, + 114155173, + 145349975, + 651754933, + 414033701, + 760143896, + 357131644, + 885091615, + 692610222, + 754394433, + 602591700, + 120210569, + 480536385, + 872061791, + 693478065, + 347202054, + 507368878, + 850778921, + 811337843, + 260106746, + 371979786, + 8929237, + 905410654, + 938041333, + 960282568, + 487617716, + 997254909, + 865594720, + 73572436, + 696694378, + 193410759, + 852642201, + 613898265, + 142698161, + 407904688, + 432888090, + 418918189, + 614915278, + 49054610, + 571490650, + 790831059, + 23777042, + 828384584, + 336056479, + 261645030, + 378464012, + 219823651, + 558456330, + 139998861, + 261295658, + 242664484, + 996227168, + 29251656, + 141410053, + 250377572, + 803100611, + 92012, + 430968598, + 442929607, + 105511481, + 292521351, + 156235931, + 747991148, + 810091891, + 477555189, + 500494900, + 237715401, + 106614576, + 52224509, + 240033921, + 316130890, + 166783020, + 530933598, + 504461133, + 627444297, + 341890771, + 493617553, + 164265460, + 892682518, + 285126970, + 874065798, + 74491465, + 216537320, + 46381117, + 190774584, + 730597372, + 81085129, + 824801693, + 4264951, + 314183570, + 493730080, + 609463874, + 262977862, + 552598301, + 169742682, + 2717924, + 523912583, + 489606623, + 48086801, + 97752479, + 205989894, + 777970808, + 883350775, + 589463072, + 356072888, + 237721004, + 620799002, + 910633983, + 438918286, + 616077332, + 432510106, + 755711076, + 840235599, + 131107530, + 175183969, + 913891278, + 606759694, + 296531310, + 799391173, + 439648937, + 469221439, + 375101853, + 729058273, + 835224804, + 703889654, + 985151777, + 961183997, + 967729004, + 25460789, + 769207088, + 773819302, + 334545345, + 34959312, + 644985576, + 466276560, + 36864997, + 805694317, + 478388474, + 634923222, + 127178231, + 551939651, + 592766391, + 967506463, + 201609935, + 475015688, + 56367885, + 537253900, + 707778631, + 300635082, + 71339940, + 751600620, + 325887850, + 475631430, + 306752845, + 732378524, + 277186924, + 676604047, + 306397938, + 882411484, + 7467471, + 762004370, + 934014113, + 342600712, + 398796987, + 467505420, + 562673092, + 322440937, + 115173532, + 397510632, + 880904923, + 260859141, + 798193717, + 506262731, + 203215006, + 302682278, + 513286514, + 702090227, + 960404344, + 689154089, + 549080107, + 123121095, + 66886473, + 531905326, + 118024980, + 2530105, + 847815736, + 958177182, + 194873862, + 803381291, + 75976161, + 53148937, + 359540342, + 51816049, + 823380223, + 680926877, + 450335756, + 486075014, + 505281008, + 22328596, + 268572783, + 763937705, + 31285725, + 1490149, + 193186070, + 548215060, + 904011013, + 226966158, + 15883576, + 20449347, + 380003454, + 124948509, + 851676191, + 202152941, + 230750250, + 325540143, + 876610807, + 793297544, + 210910282, + 113591317, + 675455634, + 973910660, + 343457815, + 123802311, + 208383568, + 659759003, + 957791868, + 81115208, + 83357213, + 872503697, + 458340231, + 247136352, + 264154363, + 702945225, + 612682958, + 636787450, + 571342288, + 71868090, + 511751863, + 749668031, + 189480048, + 896177882, + 69178461, + 687856429, + 688005027, + 300743505, + 146813275, + 477909257, + 902093771, + 119359819, + 177535230, + 938285764, + 334990553, + 482431990, + 333785572, + 366405620, + 308207640, + 181625642, + 188278251, + 1120001, + 764630472, + 561960298, + 495954878, + 802895099, + 778447631, + 948605242, + 672191870, + 249794636, + 459235334, + 608424875, + 18856435, + 816614426, + 754836096, + 321580704, + 762034905, + 220697054, + 499501758, + 689796596, + 856012205, + 84585822, + 31154571, + 858449527, + 335102074, + 287243405, + 972515664, + 160496370, + 487348865, + 862413755, + 565012391, + 379906906, + 681231134, + 486597044, + 225038285, + 992991410, + 251512361, + 557519713, + 802457639, + 999649295, + 303729162, + 228166252, + 252031495, + 934957882, + 370582676, + 575190019, + 922739612, + 480672950, + 90177929, + 502430701, + 754680920, + 176478999, + 107303491, + 695587054, + 754050276, + 441217963, + 656906828, + 703268637, + 176417343, + 446376324, + 840483470, + 528163210, + 560713899, + 12872649, + 583295124, + 310247923, + 385193287, + 723396763, + 364211143, + 236379543, + 476926827, + 479110903, + 390236327, + 354347068, + 680329802, + 131435850, + 899084927, + 49142712, + 235375070, + 414619974, + 814202848, + 262038252, + 182497609, + 621656340, + 107838354, + 207989677, + 611184534, + 136332834, + 357256751, + 678214351, + 243755527, + 694268024, + 445207774, + 641331052, + 19400354, + 301687116, + 405520482, + 854370923, + 490079338, + 199438685, + 698924799, + 361927749, + 551884346, + 542364845, + 430584064, + 73885538, + 931301869, + 796893733, + 277083243, + 299548105, + 539576943, + 756739912, + 589122630, + 153394732, + 850874263, + 49440874, + 139295255, + 895911239, + 848993590, + 253215267, + 352119307, + 458565631, + 500622962, + 665816443, + 40493780, + 924774054, + 173275480, + 576341301, + 640972481, + 619584790, + 217837207, + 203572536, + 462705768, + 817710546, + 11222125, + 833703791, + 224118611, + 894602733, + 844246186, + 242786851, + 1626716, + 337444821, + 572449080, + 907079174, + 717099848, + 12872406, + 700155314, + 853790999, + 865319040, + 14991083, + 534951518, + 226785982, + 170023525, + 733952829, + 216248691, + 295065498, + 318834367, + 982069084, + 487305924, + 665621841, + 563012424, + 843918839, + 290569547, + 412725567, + 566748231, + 885420703, + 194237836, + 607262707, + 825779317, + 495416864, + 753284858, + 899707563, + 673363538, + 947333975, + 796603952, + 277322975, + 890561749, + 316514452, + 367215622, + 76275368, + 967089384, + 677323852, + 409177393, + 566428052, + 355326702, + 737727008, + 495855625, + 766195686, + 591975746, + 166650278, + 964624876, + 479743051, + 292691259, + 199085408, + 459115576, + 431247567, + 835225942, + 398057778, + 57764488, + 780606895, + 676680772, + 651343600, + 498065609, + 415766402, + 676568606, + 473429865, + 949108920, + 346661088, + 797251586, + 724409481, + 921633268, + 150607069, + 786038434, + 921325784, + 866019834, + 555591873, + 82722367, + 175508451, + 162063692, + 235955513, + 966586059, + 552570288, + 566268647, + 133973616, + 39296087, + 632149152, + 743910111, + 491034962, + 625168313, + 522775644, + 634468589, + 698563565, + 598973149, + 329683564, + 766841271, + 703372805, + 584353424, + 311709842, + 622816196, + 435562461, + 472587272, + 208596878, + 545711741, + 189553679, + 348667437, + 37848836, + 80982679, + 157771245, + 683995160, + 515474203, + 20395949, + 160026638, + 201831632, + 12092947, + 338727075, + 621943181, + 818835146, + 634923552, + 579349428, + 769202923, + 291288997, + 649375760, + 344238786, + 518246554, + 549849341, + 196134627, + 703996673, + 128749066, + 576438999, + 923373021, + 131735927, + 423690859, + 404778736, + 488340349, + 563419568, + 360665187, + 143544584, + 821226407, + 857155784, + 688130769, + 356670908, + 583430317, + 933083858, + 253716341, + 878497189, + 341439357, + 275767077, + 453487174, + 264945563, + 656200217, + 448335079, + 719359259, + 295787903, + 602088793, + 186588769, + 967403504, + 689102406, + 37857585, + 96818128, + 446289709, + 869604933, + 121273503, + 234559218, + 263247276, + 159402397, + 765407457, + 533557146, + 879799386, + 731990380, + 89076708, + 261975271, + 704433446, + 72675785, + 990723421, + 531485340, + 968672883, + 161386409, + 518837508, + 96900738, + 822563796, + 719697634, + 831892115, + 685193391, + 762088336, + 314795525, + 588570591, + 54547269, + 326898331, + 209515675, + 537361501, + 768542759, + 2704924, + 353474983, + 178067655, + 659994441, + 645943601, + 75493661, + 19757886, + 54004552, + 771076364, + 747034842, + 32152706, + 994687684, + 860790309, + 989995866, + 643003328, + 38917322, + 500591536, + 159139808, + 835673109, + 583146859, + 82830911, + 969237702, + 346722052, + 795972089, + 405762595, + 64555013, + 147232281, + 186284975, + 340087277, + 258461662, + 28340001, + 145133800, + 931973547, + 977195422, + 23307560, + 748831944, + 835828643, + 105465266, + 537316570, + 894541240, + 488472448, + 737468322, + 93677690, + 531509403, + 992979434, + 955206809, + 251848145, + 535520842, + 374726935, + 839328306, + 308362059, + 755571984, + 525891006, + 45186530, + 691137656, + 239260643, + 826143281, + 3924534, + 339948134, + 2393386, + 376999174, + 755164266, + 17805246, + 370503312, + 738576104, + 828399565, + 37747151, + 331118012, + 383960632, + 890037686, + 234334122, + 150743545, + 541574422, + 922476348, + 980138490, + 349402957, + 263458211, + 279693650, + 755435040, + 190558603, + 418132508, + 537504248, + 144729177, + 257038397, + 63633228, + 209961314, + 698221260, + 430404905, + 285123583, + 283247740, + 584047566, + 106525573, + 80268842, + 809426095, + 27285556, + 641904454, + 33092207, + 221902235, + 489767643, + 652219124, + 812581543, + 468805520, + 260634403, + 702302943, + 323164098, + 637775531, + 329869128, + 974539466, + 378310722, + 38038584, + 148147175, + 74163375, + 53138113, + 976409102, + 256793272, + 372451042, + 185849953, + 87886840, + 462708284, + 454349840, + 755634114, + 211069115, + 759714956, + 607269525, + 790889615, + 121622359, + 142729995, + 321696264, + 365404344, + 718019825, + 380391820, + 858827796, + 394484442, + 613536961, + 20963351, + 666425786, + 642419765, + 360168124, + 935507649, + 852978796, + 810032696, + 495820120, + 865268181, + 144148395, + 718055139, + 316905052, + 295707808, + 720513159, + 451974842, + 640986466, + 116606312, + 455772103, + 175216647, + 746986152, + 220381381, + 807199723, + 249624091, + 55425477, + 33961874, + 801665859, + 319755998, + 839492201, + 596883187, + 152551908, + 713807824, + 650475079, + 545379673, + 688469607, + 257173467, + 731427071, + 770996635, + 977306881, + 400362045, + 45091872, + 467742437, + 549099436, + 424165873, + 688796598, + 816722397, + 245737575, + 497824853, + 209985835, + 291790575, + 110785224, + 855942913, + 682613937, + 925806986, + 154585802, + 874890541, + 513869099, + 115113927, + 191049290, + 331046489, + 436709962, + 520586521, + 262599836, + 812398202, + 326919529, + 646884061, + 70056291, + 105526753, + 142972695, + 41266850, + 436870496, + 449334247, + 351602553, + 157767359, + 646967564, + 5847910, + 91022098, + 291702335, + 864884740, + 147364380, + 306041485, + 430528514, + 397392421, + 787305883, + 785457961, + 400018428, + 142318447, + 27267128, + 424049315, + 286687863, + 186559212, + 251405344, + 191162445, + 694171325, + 897305968, + 157468355, + 891272261, + 109117703, + 497034604, + 407375759, + 55211198, + 257306500, + 161683695, + 591017300, + 111973328, + 482039376, + 440449701, + 380248121, + 24366404, + 757836088, + 30910964, + 905847343, + 62988958, + 565659007, + 607931516, + 435533247, + 253777236, + 249524255, + 155785714, + 944839240, + 788972092, + 525256327, + 390837119, + 324737593, + 420003876, + 483708665, + 198201857, + 216384065, + 582581688, + 758866424, + 95912084, + 28521379, + 134313930, + 414898912, + 50766360, + 600958917, + 632338924, + 958645060, + 501049669, + 977034596, + 43690804, + 923354576, + 162291433, + 918883344, + 540157210, + 81303463, + 860572571, + 524780466, + 457263485, + 862777508, + 264412304, + 601474420, + 786417436, + 218546496, + 707340844, + 955649750, + 158423727, + 780757978, + 138787304, + 904514775, + 319847020, + 879599473, + 26349047, + 253296952, + 941332016, + 267616305, + 945582051, + 921822422, + 579802344, + 158619125, + 403561693, + 629403755, + 490875031, + 677722343, + 885531344, + 303664799, + 173147892, + 438699578, + 463391765, + 924448359, + 706404864, + 890551474, + 630939371, + 344450522, + 843976557, + 396579427, + 805243468, + 54922797, + 666903987, + 776786585, + 649592321, + 94063542, + 567100627, + 428669819, + 820724270, + 976078849, + 333598183, + 740272345, + 9472894, + 519708345, + 432143133, + 798309401, + 986123297, + 600581039, + 300753822, + 656331863, + 897025561, + 505910358, + 916136263, + 593551690, + 635551729, + 27142402, + 34915468, + 590600740, + 402802610, + 807837063, + 715601358, + 193469435, + 212214600, + 941352562, + 384664210, + 681320750, + 713121618, + 530388947, + 365940642, + 997589877, + 156056812, + 336487584, + 736332050, + 813947456, + 874367389, + 110458863, + 365194718, + 45806893, + 650006198, + 468944422, + 466913215, + 749314184, + 671356418, + 799895305, + 225592363, + 440294891, + 33335743, + 851193943, + 963633821, + 757399992, + 845109834, + 545099422, + 946902805, + 406294836, + 650242597, + 14637192, + 196251920, + 550757873, + 96495476, + 237624208, + 775455047, + 622591480, + 906271747, + 214718068, + 185591323, + 94952195, + 581819315, + 694980611, + 745120141, + 915499347, + 748278701, + 633511920, + 144488003, + 666609223, + 600749702, + 31098737, + 508741918, + 972145225, + 157753564, + 237626202, + 635239306, + 231600519, + 242112745, + 372375813, + 761969309, + 16958408, + 300319490, + 276776283, + 47139665, + 378025765, + 846801746, + 819358591, + 718742601, + 478949542, + 903948506, + 575802445, + 832652970, + 16477097, + 193795462, + 589414169, + 675268046, + 811370312, + 937576852, + 917417449, + 185074641, + 826683548, + 655956446, + 324087399, + 333761806, + 37884453, + 159569628, + 413902223, + 263011329, + 613749098, + 640516753, + 811502529, + 997014111, + 558709667, + 593312586, + 652999579, + 713042049, + 640530678, + 795907205, + 58296997, + 5779918, + 531357883, + 632621011, + 438418554, + 247007671, + 706823417, + 546197661, + 585925234, + 830034271, + 142834711, + 354014519, + 308803712, + 948147678, + 101032523, + 511626172, + 724880770, + 122823219, + 869204075, + 205698691, + 859277975, + 649904171, + 651812879, + 781676952, + 291704388, + 48256992, + 980883852, + 44580292, + 647485547, + 830005400, + 993446947, + 294489882, + 986809708, + 599365087, + 643842297, + 657333976, + 357253791, + 398267546, + 452289351, + 380254489, + 419375400, + 526999252, + 905238136, + 133785845, + 155646545, + 997917643, + 155644299, + 158874631, + 159099258, + 549501240, + 75501958, + 258487471, + 635259232, + 808783947, + 112544057, + 955583089, + 331371423, + 852408065, + 68909064, + 922943663, + 304547540, + 491141468, + 451777060, + 792556049, + 117199630, + 874123773, + 284201004, + 156234167, + 246149039, + 904614522, + 151025834, + 998093899, + 150984435, + 990082075, + 788356074, + 754459656, + 656211190, + 793536570, + 760570746, + 246782063, + 366982251, + 996956613, + 468781991, + 823529875, + 68012383, + 220705378, + 551937214, + 853094121, + 700836205, + 460071446, + 814823631, + 816356231, + 496760944, + 42682993, + 241948488, + 960710145, + 992404263, + 655042903, + 188388506, + 308781463, + 476925542, + 673692857, + 265918320, + 540517399, + 845233919, + 968740565, + 171372741, + 12955042, + 221012981, + 328593338, + 978274785, + 108618597, + 983679546, + 356543336, + 499924856, + 454713166, + 131231082, + 619896204, + 979837961, + 584371580, + 838251137, + 150514397, + 880464395, + 289618124, + 122707954, + 970783817, + 337376341, + 308586439, + 464986650, + 841448967, + 270034850, + 776211940, + 84998276, + 487118423, + 362891082, + 962214481, + 19374523, + 587980757, + 34907071, + 588406678, + 831272940, + 797310771, + 861445469, + 762867708, + 434276559, + 736236304, + 239846299, + 303009375, + 238925540, + 358961644, + 252956070, + 228485456, + 706342921, + 783596295, + 159369318, + 105387654, + 895811481, + 912338592, + 689524399, + 541158479, + 68148043, + 632375786, + 63202909, + 359524886, + 64687992, + 853407528, + 337592393, + 528907896, + 844131799, + 95937968, + 412398462, + 37527326, + 22269183, + 619083463, + 542327708, + 831127949, + 809320379, + 538117152, + 988994249, + 737471173, + 771226652, + 443448517, + 841960765, + 24661685, + 931066885, + 97778247, + 938398770, + 156336162, + 696298116, + 929058088, + 576528718, + 277072177, + 574614962, + 112969307, + 326512342, + 767985658, + 116845106, + 561684704, + 639430226, + 283979809, + 379398947, + 450599552, + 448309973, + 172865646, + 180293354, + 148408857, + 647193833, + 857925443, + 66574543, + 624269443, + 191155214, + 157487477, + 750640198, + 641023377, + 156785898, + 572435761, + 837555642, + 417789155, + 627286204, + 690197031, + 614013242, + 207228906, + 5081552, + 309356296, + 86025595, + 66571346, + 801415372, + 439452798, + 708416621, + 484172828, + 57543287, + 253731464, + 40421986, + 23729660, + 643862447, + 427506060, + 735589600, + 578611003, + 554435762, + 453020574, + 866465878, + 315170626, + 677340828, + 338024326, + 715899750, + 58091038, + 642640449, + 904065578, + 624719806, + 210041724, + 370649884, + 6176694, + 800034973, + 856528159, + 123271985, + 671525573, + 559350615, + 246934346, + 719086201, + 795715840, + 930590041, + 265065060, + 398571241, + 717083029, + 548786614, + 351257173, + 302901296, + 998962598, + 233355336, + 191758626, + 500372507, + 610924613, + 389657505, + 790115508, + 678043751, + 608356033, + 367549996, + 578616980, + 212651769, + 802783955, + 352423374, + 60999796, + 22265752, + 176833355, + 272523510, + 344381619, + 78433501, + 476145830, + 489656547, + 970156113, + 999750092, + 40976203, + 776772833, + 538031929, + 549610938, + 196520051, + 96094493, + 345605987, + 546187814, + 216833120, + 876771838, + 824816573, + 649995435, + 286489382, + 321151153, + 542908898, + 720660057, + 658521399, + 447726412, + 160680599, + 334522954, + 948237605, + 813270377, + 761775470, + 595151090, + 405710481, + 93567640, + 212305786, + 724107659, + 61415952, + 651631718, + 545751084, + 630468928, + 590234002, + 286583157, + 439917074, + 708266855, + 924515083, + 502337206, + 72182768, + 29098221, + 995416609, + 286225671, + 200169268, + 470071249, + 635196129, + 884577351, + 950165666, + 726454174, + 452554720, + 657613276, + 873497506, + 355499768, + 398466391, + 447472229, + 919579030, + 330067693, + 156724060, + 186011527, + 247096979, + 416628426, + 276948638, + 727949776, + 482901337, + 523719507, + 937403003, + 188743803, + 31102352, + 39673364, + 936647089, + 592221138, + 437295761, + 352380082, + 145500255, + 598835630, + 102232431, + 428690733, + 133201008, + 706917251, + 955064605, + 445683542, + 847821811, + 13235533, + 585252510, + 712418892, + 271086424, + 844189815, + 314497363, + 337696241, + 386646620, + 977617902, + 149102659, + 746620491, + 350033754, + 751906858, + 859696001, + 614031666, + 591916642, + 766155826, + 603708469, + 878475170, + 12615255, + 767415468, + 546397593, + 444423393, + 196565011, + 952199677, + 218653466, + 261017912, + 487837282, + 586853024, + 72955245, + 191710681, + 945993210, + 458847286, + 871144849, + 63914246, + 552249496, + 614876070, + 739826919, + 995810018, + 841067875, + 203427763, + 700977803, + 785910286, + 130114550, + 904765032, + 319649434, + 191209334, + 141868339, + 265335796, + 908678341, + 44895986, + 594201139, + 618834845, + 57243166, + 447023205, + 874633019, + 666359197, + 407908348, + 319405581, + 640356619, + 973905641, + 601993077, + 604020905, + 506466170, + 850956425, + 15638830, + 166955425, + 561791267, + 686346554, + 115903823, + 113519442, + 131959057, + 998330503, + 288942613, + 540488479, + 995492474, + 24933017, + 819238368, + 542926850, + 278070078, + 18012023, + 734826254, + 305179231, + 636667406, + 549617006, + 465736366, + 211009901, + 760574807, + 496184509, + 267791089, + 724280725, + 955002545, + 279342650, + 204909994, + 924593450, + 242610646, + 398865073, + 104097922, + 152429363, + 591936579, + 70159688, + 696882281, + 565161438, + 668213993, + 262052060, + 65162662, + 824074537, + 371807585, + 205439089, + 454405832, + 652119639, + 742893994, + 568191062, + 783780366, + 651636053, + 972684608, + 130785150, + 518796688, + 864996374, + 810546823, + 251459691, + 281815316, + 556752589, + 452680129, + 329805361, + 560188041, + 948729184, + 814768698, + 335519719, + 54320054, + 906876265, + 997068773, + 300667398, + 282124805, + 466014012, + 262003898, + 105531224, + 578451497, + 161444026, + 818552487, + 569446272, + 344381419, + 963256698, + 505947870, + 263694571, + 959422082, + 413241059, + 207216939, + 892025765, + 929735911, + 882205191, + 780114641, + 128697851, + 559131550, + 619636493, + 368263992, + 510119515, + 934041601, + 12537274, + 259309639, + 458844880, + 575782848, + 809648547, + 5659203, + 362113060, + 185316928, + 326190738, + 760588816, + 592625557, + 348453953, + 710827666, + 6364237, + 564715624, + 373729768, + 135923549, + 288370763, + 194726191, + 924679955, + 389628147, + 690749079, + 107248236, + 381277988, + 13501494, + 803167399, + 283864282, + 128391205, + 678096064, + 628778993, + 401147445, + 853061843, + 938733155, + 376047194, + 427554187, + 562769918, + 531692029, + 671773361, + 537788959, + 410369089, + 700516512, + 817876876, + 886293788, + 254659725, + 715459908, + 279371174, + 156237833, + 903523154, + 61280409, + 545770024, + 702572026, + 167674327, + 497876364, + 598193429, + 411293663, + 403393801, + 856029844, + 997983171, + 720398842, + 280107103, + 948014520, + 376669076, + 817032944, + 223137201, + 164733036, + 850968841, + 124552965, + 116162950, + 615170706, + 908498760, + 640711656, + 96590479, + 753255084, + 169950830, + 236235204, + 501972611, + 814946220, + 158735517, + 497504936, + 183151501, + 327233513, + 132305429, + 917442090, + 136542475, + 399703145, + 736350544, + 116325304, + 585469091, + 416333078, + 948692662, + 545222976, + 884947002, + 762925102, + 968375974, + 593349218, + 343230522, + 72541035, + 25622333, + 984265093, + 711829917, + 590802186, + 696573831, + 377950466, + 441429880, + 190181372, + 300642809, + 401174542, + 13682513, + 864753240, + 41730274, + 654970054, + 646606233, + 612359979, + 408885030, + 529793546, + 817149085, + 327861534, + 70436246, + 882770297, + 546795207, + 902217238, + 280235664, + 333829531, + 979363251, + 120926588, + 627926261, + 690886778, + 777141234, + 231247195, + 868822225, + 67241343, + 278372592, + 607858675, + 160797347, + 898024399, + 245467183, + 746763899, + 41483768, + 780629919, + 925213233, + 432760142, + 998787104, + 927980079, + 353325402, + 170844807, + 127315951, + 718660702, + 898962647, + 454313126, + 891690896, + 693832531, + 103644824, + 135015818, + 69968330, + 637613636, + 269185139, + 981652041, + 594787261, + 550268543, + 853595549, + 25608167, + 410869870, + 206988831, + 702393255, + 141481409, + 819718926, + 696216512, + 398047961, + 29128563, + 216680397, + 859924445, + 833767440, + 980582758, + 793198904, + 454345072, + 185322622, + 264945057, + 943702960, + 3428281, + 75771316, + 324518343, + 824673998, + 820124127, + 874666249, + 786552001, + 798106541, + 456904586, + 52241516, + 164280712, + 834502254, + 397598486, + 522035539, + 476976795, + 874257195, + 92674321, + 705030142, + 5139879, + 324765015, + 528848726, + 697520162, + 401171623, + 975321740, + 274174906, + 486145853, + 439917751, + 281054235, + 300416623, + 959862287, + 898484516, + 572947358, + 102947879, + 105184660, + 557067564, + 173018541, + 516361737, + 171972566, + 793853857, + 281377037, + 927836500, + 735073784, + 755543807, + 500945139, + 575391144, + 360300261, + 157837226, + 680880279, + 630384423, + 580773216, + 281793424, + 755954266, + 740575201, + 924125544, + 947495390, + 582396865, + 119919317, + 597984681, + 989564249, + 244955979, + 33834478, + 829483558, + 566475435, + 173006646, + 465682659, + 526883062, + 33230870, + 911861585, + 886787122, + 359362855, + 810163567, + 219292679, + 910460268, + 922477065, + 200061409, + 324318509, + 292677602, + 40409568, + 964410137, + 412792573, + 869907446, + 160425500, + 114062228, + 406156927, + 173489601, + 604756042, + 241603759, + 687689863, + 135015530, + 626402002, + 59814971, + 664173393, + 891037799, + 611483413, + 216661426, + 9593361, + 177856247, + 211903819, + 861936957, + 143419204, + 594108706, + 548742799, + 247156831, + 347718747, + 324323347, + 631674453, + 646384067, + 834891733, + 87051233, + 339815246, + 100443300, + 850390664, + 5675643, + 128147563, + 719976785, + 350269465, + 74410097, + 206575141, + 32786053, + 651338274, + 545730925, + 653381868, + 165453830, + 304948106, + 485957523, + 588335650, + 294677046, + 318017537, + 517677248, + 707967166, + 404657146, + 872719093, + 541052357, + 563936387, + 438251297, + 776841137, + 204978386, + 802107491, + 408335242, + 832314806, + 237755133, + 353557070, + 751816315, + 829958599, + 612444995, + 37406965, + 636922026, + 532548682, + 543669396, + 633929606, + 741219339, + 678299600, + 156436834, + 231755252, + 432766802, + 763956104, + 21405365, + 727878454, + 884328990, + 168187109, + 609172858, + 306431718, + 88392317, + 265741404, + 334870911, + 678318728, + 362741200, + 56519518, + 863252453, + 983860376, + 465239187, + 261646502, + 65602235, + 484583502, + 400178629, + 946479624, + 954123456, + 617921721, + 909335952, + 729747162, + 179827756, + 601219364, + 149668612, + 244390766, + 920004411, + 93998213, + 115349062, + 568523639, + 589643334, + 160298099, + 412365247, + 687940535, + 511075809, + 454831845, + 15833111, + 553619073, + 567386919, + 986268015, + 494237450, + 615339071, + 403808253, + 564784445, + 968845658, + 581694536, + 41934964, + 608075212, + 932539464, + 825011275, + 426904252, + 550655011, + 628663520, + 587448286, + 13155263, + 694299757, + 998139450, + 402770935, + 601017253, + 473859303, + 450810423, + 692061422, + 371354415, + 707700007, + 696067335, + 988596117, + 994896374, + 156686987, + 90175576, + 710936140, + 277339305, + 587933534, + 778303533, + 811643741, + 675086127, + 478838290, + 40176237, + 794915475, + 95817686, + 348146223, + 701066500, + 130241518, + 567456621, + 3883997, + 653440175, + 239691094, + 162399616, + 34388533, + 285476333, + 568548574, + 356100042, + 900107167, + 647098215, + 398997170, + 815002863, + 749035479, + 395803339, + 118003746, + 526313541, + 498523326, + 888731431, + 739347198, + 776781589, + 249679789, + 245660446, + 760496796, + 132697318, + 951836075, + 177833157, + 183510763, + 141813975, + 416613228, + 176609149, + 446365456, + 959197643, + 117140485, + 204243776, + 964118750, + 421038929, + 727604614, + 753462634, + 992512051, + 338767147, + 874918365, + 94241566, + 322400444, + 34049754, + 750633923, + 525104654, + 330956926, + 153643449, + 701916774, + 1974943, + 828804104, + 477902811, + 260347886, + 138230605, + 212662097, + 524106908, + 716296005, + 828932965, + 564117401, + 311623521, + 570111357, + 48325583, + 565309957, + 151119535, + 242009148, + 832076721, + 93700992, + 65448813, + 714226256, + 881904500, + 397913555, + 986394889, + 384786719, + 202087600, + 639755912, + 265723526, + 207546783, + 177620320, + 47266697, + 695005001, + 355447187, + 671502360, + 946481749, + 317711771, + 33565289, + 373501580, + 443937709, + 924661503, + 54600948, + 321606620, + 794677852, + 305184408, + 273347339, + 596625910, + 348837334, + 343935274, + 687453049, + 663418681, + 356056884, + 263412467, + 220673159, + 277361060, + 889447355, + 948711518, + 901454950, + 470004238, + 413819728, + 382283961, + 138417452, + 605740722, + 996157939, + 711745139, + 249284275, + 327075291, + 402809192, + 744453636, + 19698837, + 944445663, + 148852387, + 361207738, + 350373342, + 548797283, + 179279770, + 886151107, + 401742530, + 189683524, + 854983356, + 836591923, + 377665710, + 95275059, + 88351156, + 83111314, + 517393609, + 125360516, + 266907728, + 971155337, + 201948823, + 153189381, + 71926127, + 134493358, + 636584340, + 18229555, + 162091798, + 670572871, + 774949121, + 540472520, + 238339364, + 824761330, + 496437599, + 741436943, + 515144480, + 654880175, + 951370196, + 222601195, + 131655834, + 91108166, + 38392678, + 295705870, + 333196877, + 872305877, + 318667201, + 412556089, + 797259633, + 434088012, + 590256236, + 781427900, + 391680790, + 438575783, + 876507659, + 112118339, + 32407553, + 414778348, + 688324718, + 565394764, + 503358945, + 379803959, + 445737035, + 158699961, + 553418088, + 36381714, + 136811247, + 114807249, + 384307988, + 730617848, + 660183085, + 945754243, + 742211791, + 290023577, + 53871094, + 456702202, + 860380860, + 32881012, + 742963328, + 970191790, + 936259215, + 739568493, + 69753001, + 516902012, + 523555636, + 466801417, + 572381845, + 909746156, + 607276076, + 717724532, + 611638845, + 9390037, + 739247198, + 275717399, + 121299067, + 675833988, + 187556489, + 589005597, + 300672851, + 821977798, + 960984225, + 528519287, + 74308208, + 960733978, + 889900956, + 76291635, + 217703701, + 697749479, + 531697204, + 549463802, + 526821484, + 879429576, + 407783006, + 406480901, + 856982442, + 909410128, + 853820393, + 717337144, + 1975436, + 113457691, + 286755306, + 869984206, + 524137002, + 778843365, + 763002458, + 491295412, + 415697839, + 967851844, + 810245591, + 908841959, + 949246367, + 470853482, + 912044787, + 866944363, + 489180706, + 579379547, + 174655621, + 820175163, + 310102326, + 633354561, + 58535443, + 896725473, + 50128430, + 648758461, + 682018062, + 197970484, + 719322875, + 393300193, + 454457397, + 524745418, + 857135998, + 666126741, + 797513895, + 419159096, + 305893465, + 322591995, + 876045697, + 9157370, + 372496841, + 840280011, + 210469909, + 182676048, + 441542949, + 16531079, + 792132339, + 660790788, + 809033568, + 747316805, + 596788498, + 938943601, + 11710585, + 172666543, + 371104417, + 401405815, + 848493977, + 11219632, + 113419791, + 137335564, + 795189733, + 532933347, + 237049279, + 665890178, + 656538553, + 564743625, + 880515346, + 697863932, + 501855683, + 713821112, + 174165014, + 127767814, + 94262816, + 171292462, + 684303226, + 125756047, + 187861073, + 184747021, + 248728788, + 526809937, + 618190795, + 553105204, + 999145087, + 314744628, + 809276264, + 98401548, + 699677790, + 930731812, + 469997495, + 94529444, + 367087368, + 730046634, + 954098315, + 493464050, + 155362161, + 14909055, + 348899367, + 576815533, + 610108398, + 972585860, + 963624864, + 525984599, + 575282552, + 685295240, + 746114132, + 654218415, + 348106966, + 4922381, + 116323393, + 251019558, + 640453876, + 852015457, + 212361977, + 839103717, + 370915580, + 489415512, + 701815307, + 434533422, + 124623127, + 327372175, + 164241126, + 279531892, + 374272019, + 446672266, + 558730870, + 596182269, + 665917688, + 11935636, + 823967734, + 946872136, + 159858919, + 485172664, + 94774043, + 367557802, + 978952370, + 274205577, + 800219796, + 154418162, + 676578333, + 543991831, + 635814096, + 131449564, + 487887037, + 484501584, + 816020938, + 498104948, + 41366076, + 957076391, + 228688971, + 393366193, + 200226641, + 670917542, + 396614674, + 927959330, + 906368036, + 354270123, + 211450321, + 56074952, + 473595456, + 761747982, + 120675608, + 644359441, + 658367149, + 123846268, + 28826016, + 830081658, + 222631555, + 812113607, + 938445554, + 68859909, + 896170052, + 917660270, + 315804298, + 960116850, + 148108490, + 70481713, + 372766467, + 368455291, + 16536038, + 906137549, + 171733539, + 470393834, + 19380955, + 308469556, + 206743893, + 66281853, + 46223697, + 231563193, + 390508776, + 939182438, + 343540245, + 875425665, + 630664511, + 977161203, + 24697313, + 611331583, + 217776154, + 752122464, + 822409432, + 474763640, + 406470958, + 346832724, + 941556521, + 251576689, + 873718098, + 914613524, + 922112992, + 816721440, + 207867327, + 682027630, + 853923079, + 977663951, + 234947733, + 989961493, + 705406231, + 819229097, + 765647120, + 512250713, + 484346048, + 97138372, + 836043942, + 797492064, + 816103552, + 835151401, + 53709254, + 878472235, + 15162040, + 822513747, + 342990225, + 283196973, + 368704780, + 982599155, + 691861406, + 44160637, + 689123636, + 488392953, + 739442394, + 639203625, + 602709379, + 601083967, + 487668109, + 553726289, + 228982457, + 12781622, + 406576517, + 136726494, + 141610011, + 490568773, + 678025066, + 88789511, + 102227886, + 606490376, + 443784095, + 909558772, + 467115066, + 919793954, + 325475519, + 170825769, + 971543620, + 780724273, + 730507476, + 113617255, + 488197897, + 631921848, + 108011115, + 262972314, + 195483433, + 352433001, + 471304983, + 16571476, + 855604506, + 431915080, + 857002700, + 175380791, + 470227214, + 954289188, + 450472303, + 90869012, + 53990760, + 295339327, + 59147350, + 920808889, + 198219676, + 14297271, + 181548151, + 950448394, + 501369842, + 688326819, + 232845525, + 445072087, + 252347719, + 400838974, + 728590523, + 200686890, + 879921342, + 181487716, + 757427486, + 553698442, + 943079564, + 907620090, + 581796675, + 472313640, + 882407703, + 863863697, + 178572111, + 712405697, + 297564581, + 52682896, + 860386830, + 905416558, + 540807989, + 337680093, + 790898552, + 587935348, + 544113991, + 645261624, + 299802296, + 149259485, + 343034328, + 526390823, + 408233617, + 935906523, + 339076508, + 755259492, + 858861828, + 84220229, + 890587134, + 627352873, + 319020556, + 116469421, + 205789025, + 638918908, + 515891307, + 24363605, + 804097411, + 630837010, + 849865622, + 107347396, + 902466808, + 784128893, + 539829700, + 451191372, + 110862961, + 780004212, + 459012455, + 658269243, + 94851582, + 496255242, + 586555906, + 405021132, + 252949971, + 545820600, + 245475968, + 875007666, + 583706597, + 110471429, + 72858669, + 639464041, + 891598252, + 656211062, + 597519738, + 82939104, + 300265506, + 570124159, + 418659655, + 449753161, + 669346409, + 808467153, + 880398206, + 895019627, + 4535942, + 265385224, + 540624660, + 368179372, + 519900385, + 304265685, + 745516468, + 149256512, + 102284469, + 845111962, + 873099079, + 977390397, + 424782363, + 154073540, + 796310579, + 702924834, + 136524919, + 125172694, + 921654476, + 49949140, + 974865494, + 344226052, + 294433065, + 774046627, + 557015847, + 867124487, + 724849990, + 825995453, + 798046670, + 961070590, + 206686022, + 569115195, + 758154495, + 813490932, + 87616902, + 29040804, + 466845567, + 715751821, + 875011792, + 363470491, + 903555178, + 276215813, + 645969929, + 30772478, + 29865478, + 113005018, + 874722211, + 372614267, + 5065640, + 958586751, + 735277886, + 934901137, + 420429962, + 398790160, + 443639130, + 875030893, + 292523292, + 203344541, + 296382730, + 837142232, + 976042022, + 79433328, + 860629216, + 927951820, + 137115312, + 643448139, + 656789271, + 137481374, + 378362513, + 553350394, + 444940745, + 507714924, + 619788588, + 743623026, + 376223692, + 433544897, + 769073422, + 976764559, + 330029808, + 441059935, + 518760277, + 848284148, + 327931489, + 513552103, + 804656234, + 801989572, + 390421771, + 424990758, + 479696693, + 304837576, + 321037983, + 920630561, + 330470728, + 312331798, + 877067197, + 504523988, + 181448149, + 305997738, + 53381337, + 171407377, + 185577184, + 879406923, + 658029648, + 193591395, + 805301094, + 62312627, + 659162161, + 101624231, + 160374514, + 534307724, + 343502762, + 453910470, + 14612774, + 462071456, + 512307534, + 853237945, + 388663488, + 245089204, + 537933346, + 853255086, + 635821329, + 893113602, + 220085641, + 51355022, + 735745259, + 758882227, + 428620855, + 685249444, + 685220575, + 407057570, + 568522373, + 723566989, + 920368268, + 645686275, + 239782027, + 19498212, + 66344682, + 892944127, + 253161072, + 173426367, + 33017317, + 461906955, + 461219089, + 330463026, + 936197757, + 559227139, + 470602932, + 932901662, + 838157912, + 588909880, + 853556782, + 219911334, + 332886581, + 286111018, + 995140527, + 801111731, + 453427221, + 114223422, + 324331254, + 301907602, + 939901216, + 937704185, + 656495405, + 477411365, + 800542263, + 270893168, + 109184237, + 499120113, + 222812294, + 740550287, + 327587982, + 98000374, + 231066078, + 195511574, + 132997763, + 419190522, + 83958786, + 91442593, + 391019121, + 798120878, + 518907373, + 814177300, + 859541104, + 139053105, + 256690191, + 62692280, + 767490785, + 767729973, + 742825311, + 102446961, + 347056980, + 148347628, + 923652001, + 136299829, + 528897960, + 142976183, + 263783076, + 587763766, + 248538485, + 489190825, + 377939806, + 855296556, + 957931262, + 774533869, + 384115004, + 827540469, + 52884203, + 843568095, + 877547904, + 329275374, + 375160261, + 426113676, + 252282536, + 227502799, + 436000554, + 469912863, + 655616109, + 506511100, + 801207450, + 130526307, + 725788431, + 303893506, + 233618122, + 480305794, + 435037908, + 775078976, + 234431700, + 219064637, + 511749224, + 962819397, + 666455759, + 624554934, + 987121869, + 414687821, + 636746845, + 747003712, + 905392876, + 557395787, + 158643051, + 498868497, + 498667802, + 833921766, + 762418526, + 474082018, + 443670536, + 426368275, + 348835650, + 494440466, + 144679434, + 347281357, + 745996954, + 727317461, + 134285580, + 372389153, + 356087757, + 766402239, + 870585719, + 827922125, + 724805724, + 340709069, + 652278587, + 870377283, + 848550822, + 177383874, + 403768702, + 269976239, + 407226770, + 986018437, + 407218600, + 952942860, + 539213778, + 667224976, + 854504011, + 455793167, + 550134301, + 123397924, + 99251561, + 142404435, + 945732386, + 385926344, + 498916961, + 989825945, + 331679357, + 155403397, + 92127007, + 150816802, + 718474919, + 376352974, + 172640866, + 349898392, + 628597904, + 39240242, + 179241144, + 451211, + 932735585, + 900332492, + 398715614, + 370913100, + 730681584, + 850244695, + 469331111, + 322172475, + 140876990, + 395807367, + 122030826, + 243312225, + 332199769, + 615092971, + 462782050, + 881489876, + 21278135, + 834670763, + 640002338, + 46625230, + 610265494, + 706209066, + 877090739, + 813020842, + 512394066, + 13779744, + 848482323, + 521065771, + 357050785, + 967207883, + 143121881, + 815604351, + 482846556, + 391854734, + 912290195, + 263365135, + 369804285, + 21131434, + 682702216, + 214079116, + 458851353, + 31494661, + 49824317, + 234137005, + 798760213, + 204519292, + 835034556, + 743340726, + 925892407, + 67436266, + 972776810, + 466495159, + 616943010, + 425721915, + 7480729, + 469834736, + 50021837, + 206313136, + 685059226, + 839902880, + 327327971, + 736641430, + 318831489, + 219338187, + 144583121, + 367915659, + 945328207, + 17301198, + 811839862, + 674241887, + 480136844, + 276482132, + 432468391, + 953201600, + 83319820, + 65302120, + 602959337, + 715150627, + 81114757, + 679203142, + 521803047, + 107171022, + 515290384, + 394494585, + 933407334, + 4338500, + 918467718, + 571570852, + 537434473, + 646279758, + 40108342, + 434957819, + 837380009, + 49373132, + 319319556, + 374354261, + 545165181, + 566141987, + 224823559, + 273770520, + 598989020, + 947397532, + 417556675, + 575825188, + 567091465, + 728716420, + 271720260, + 456372962, + 444706180, + 620806277, + 973214828, + 95540180, + 737934579, + 925359380, + 102296916, + 948916142, + 101795493, + 556601825, + 190300710, + 176358334, + 785363801, + 163177025, + 709311667, + 782268691, + 263388230, + 435336765, + 870625999, + 360855424, + 829014816, + 548546195, + 679107844, + 78608279, + 262946493, + 871856692, + 172147795, + 149509090, + 361331995, + 956254705, + 148079966, + 535704158, + 257152287, + 231590347, + 603880265, + 145248038, + 995823373, + 300655693, + 667641156, + 975804655, + 10806900, + 272251333, + 962434678, + 614807851, + 71690717, + 793993428, + 355082050, + 775891158, + 414798527, + 883894124, + 177261331, + 541005425, + 62945603, + 768663941, + 44910625, + 511843111, + 510176737, + 689235239, + 58674162, + 947753274, + 768780233, + 581057148, + 50285626, + 111622936, + 430410249, + 537754492, + 361712594, + 534803906, + 809253345, + 155163340, + 509697880, + 132243138, + 997810155, + 777305407, + 990240764, + 405897242, + 297608532, + 113670143, + 476786787, + 342887321, + 794388103, + 182543020, + 551469882, + 3548620, + 109134387, + 737779820, + 547932506, + 680707029, + 780359550, + 11581821, + 275643522, + 807295012, + 96777814, + 204271831, + 663546049, + 983061819, + 274812281, + 688307722, + 271350054, + 472266874, + 124699619, + 7205993, + 309273601, + 517597961, + 801030326, + 893367494, + 651634909, + 81794384, + 775132071, + 717723205, + 846315318, + 689211164, + 659095797, + 503606401, + 934910662, + 506407308, + 602530302, + 316400767, + 122567062, + 541607689, + 192765891, + 303636816, + 116605176, + 876376296, + 69965607, + 613780723, + 279585437, + 344498298, + 931090463, + 797715053, + 255271425, + 949386622, + 703077982, + 843209012, + 798959607, + 897935229, + 340392418, + 253858089, + 230621608, + 596355344, + 889882022, + 475877105, + 984413704, + 748565788, + 475640969, + 184150158, + 514816680, + 194713545, + 785267805, + 690008396, + 162222069, + 455487641, + 334317282, + 49900903, + 420992363, + 679984037, + 190515905, + 853167236, + 125002452, + 786631977, + 952780648, + 293727641, + 493560532, + 158792621, + 360435144, + 231213207, + 874231447, + 60101927, + 374752999, + 445286526, + 524776305, + 454067045, + 943589537, + 379176159, + 504839988, + 260562726, + 371250385, + 280124372, + 353739310, + 587178908, + 827832360, + 193425616, + 78704579, + 765061900, + 756955188, + 981601564, + 759886321, + 809691012, + 745884990, + 591540617, + 812761256, + 884141116, + 885396263, + 212149091, + 474507725, + 418885788, + 477545909, + 636950437, + 51906259, + 375827194, + 923522353, + 114317143, + 842679762, + 737111465, + 369328416, + 532716530, + 58474709, + 521789503, + 39654893, + 285470103, + 327229601, + 369214566, + 518370716, + 263597005, + 425379343, + 392666773, + 883010927, + 68943156, + 354494557, + 72378026, + 118355287, + 967021693, + 487574027, + 899675031, + 892131423, + 847654904, + 235797667, + 722197906, + 386848777, + 585543033, + 845127096, + 462097809, + 639581639, + 107662184, + 307089773, + 234482314, + 9329745, + 91377726, + 702007484, + 207941280, + 193570873, + 73339391, + 701444318, + 350548637, + 140285825, + 656777964, + 14643464, + 89317093, + 711444855, + 60716584, + 617880520, + 667794581, + 13363364, + 924657032, + 793248652, + 432737219, + 733798703, + 484737389, + 99467329, + 957036639, + 618554275, + 395893039, + 940858273, + 857365386, + 145910780, + 543474084, + 182850117, + 206196212, + 591106097, + 174377014, + 196747671, + 127542930, + 461202959, + 619103469, + 905604838, + 234958075, + 314864374, + 284302144, + 517694999, + 561544048, + 531156533, + 722250229, + 16120011, + 79197785, + 210579133, + 369644761, + 976034523, + 780616536, + 781062277, + 444558122, + 94057753, + 123691578, + 749385244, + 243981627, + 705161881, + 555836889, + 786976080, + 860892797, + 725147663, + 691348887, + 655986735, + 645887587, + 204974993, + 719407719, + 807595868, + 401965981, + 59649690, + 857089481, + 58494494, + 592052291, + 490115144, + 928788912, + 135871630, + 535912562, + 981314265, + 657191819, + 99858241, + 673439947, + 174013975, + 774807148, + 180679407, + 644528453, + 645796491, + 648409826, + 378277379, + 756190956, + 134530974, + 319349562, + 797378367, + 960005709, + 807902563, + 885626960, + 653487719, + 366382163, + 972697623, + 102116335, + 365594961, + 621723183, + 794044455, + 820227375, + 871577362, + 3559901, + 333557218, + 528902406, + 499692321, + 807271995, + 832392046, + 756382701, + 454012926, + 420467896, + 191676943, + 149151515, + 249139104, + 606769484, + 837856977, + 571285073, + 960861027, + 142271750, + 122913827, + 652881911, + 661163673, + 352207153, + 713256838, + 975593439, + 827635059, + 977536924, + 652281416, + 634987015, + 417008757, + 588178719, + 761218098, + 350051161, + 975760630, + 221700062, + 126945178, + 445313770, + 447461115, + 398116718, + 806264798, + 230043349, + 504725817, + 15211187, + 272886334, + 468101167, + 978643869, + 172927015, + 565140902, + 313149986, + 203449927, + 159079521, + 186390886, + 504518823, + 672120318, + 259525396, + 524223072, + 473286234, + 609662997, + 833403390, + 21612987, + 760785591, + 619830605, + 142117573, + 659285704, + 292258276, + 784837229, + 166313325, + 476089772, + 963854405, + 639074050, + 179644850, + 159333373, + 119315931, + 780165353, + 809213579, + 630135703, + 565164120, + 59477542, + 575070981, + 657950090, + 552556012, + 140615702, + 427131123, + 112045950, + 579247773, + 926332532, + 244755224, + 172368135, + 315379620, + 623470225, + 578946247, + 52285027, + 310700394, + 98966614, + 636306390, + 816721440, + 755748482, + 777048565, + 291294415, + 597128729, + 930182300, + 42243943, + 610956997, + 721938279, + 896904420, + 520702471, + 483534409, + 978139698, + 802548202, + 178691995, + 936246653, + 298968760, + 920764134, + 728659339, + 733683551, + 253243462, + 407350299, + 546345010, + 466616236, + 461460709, + 391247425, + 578847145, + 183322456, + 857097560, + 16790494, + 74424992, + 245271437, + 17228398, + 238244540, + 129328559, + 294192722, + 828254175, + 790441160, + 818338566, + 84377515, + 778481652, + 448400817, + 297499064, + 646772071, + 361533333, + 250293295, + 691791103, + 768470752, + 493330653, + 303107211, + 255989004, + 272404891, + 95622575, + 49656525, + 830696774, + 879724362, + 185607104, + 391485723, + 782379069, + 699845145, + 510340619, + 871341779, + 829014568, + 806963775, + 161928601, + 816654738, + 991746858, + 781439835, + 320345211, + 823196713, + 991854773, + 154883436, + 772875805, + 718058988, + 163074870, + 939449467, + 466933612, + 767266719, + 243438984, + 584698453, + 716592639, + 487445640, + 482144492, + 413704731, + 188616791, + 716783556, + 597372903, + 86988156, + 994506966, + 632716727, + 446408764, + 356004926, + 793239253, + 341211116, + 559528328, + 233274545, + 241271422, + 709965251, + 311289106, + 543974177, + 859986060, + 529504205, + 623275046, + 295442717, + 248695125, + 458709201, + 773759727, + 979922086, + 300408428, + 666239331, + 114250572, + 91048221, + 751835006, + 346550038, + 977803293, + 177860187, + 287052667, + 110242590, + 96296950, + 144768456, + 130248636, + 772995595, + 905675121, + 563185628, + 593257355, + 97405138, + 139024057, + 862644281, + 739425317, + 979695352, + 617513637, + 973535948, + 56704895, + 386039033, + 679862871, + 485721730, + 123488352, + 200172106, + 456692555, + 878192907, + 819914199, + 96318837, + 898101788, + 723605645, + 397810098, + 812079778, + 373564212, + 462859085, + 633323969, + 724293132, + 23096476, + 221760597, + 246350152, + 352693268, + 522791905, + 27010914, + 869790678, + 635839058, + 460263522, + 111161151, + 446182861, + 211242736, + 131559873, + 384684918, + 465218882, + 965501218, + 290077119, + 930770630, + 755631630, + 802989865, + 547231716, + 744422618, + 648647485, + 752100793, + 17236646, + 336471118, + 426091108, + 783043392, + 381808572, + 988024813, + 864582294, + 720024258, + 809892144, + 212291155, + 400138532, + 496765396, + 882414945, + 32344693, + 36282059, + 21602677, + 453441860, + 251084989, + 422550438, + 771864102, + 91267360, + 519008492, + 948577208, + 179031069, + 536701982, + 698806432, + 143774923, + 172080681, + 334976568, + 55417855, + 310499046, + 367885494, + 413630644, + 40399684, + 733185151, + 535236857, + 86654415, + 553922197, + 674798438, + 74866915, + 248221207, + 243600898, + 75485330, + 99707461, + 244252519, + 536633278, + 708784404, + 600577020, + 521869998, + 391540738, + 324282349, + 389475826, + 364004043, + 654962871, + 971182203, + 894112922, + 195518606, + 504240016, + 768623576, + 574031903, + 408524585, + 911561827, + 391633817, + 979534592, + 266416819, + 615988989, + 737075049, + 390373755, + 767122710, + 472173302, + 150800597, + 269701255, + 858872148, + 697788463, + 103968425, + 168159251, + 844427719, + 139932703, + 835736917, + 187289979, + 839965455, + 441808158, + 889508185, + 254789357, + 400698017, + 71891421, + 227749918, + 600605955, + 748717370, + 460672147, + 546085187, + 532236368, + 26252743, + 399863286, + 289732604, + 833763874, + 605971882, + 808549224, + 662321257, + 184863408, + 648893239, + 833078660, + 82975107, + 35196610, + 59860297, + 333364288, + 872303547, + 329586321, + 569314984, + 227663505, + 309303305, + 957779058, + 795344867, + 12925900, + 666144228, + 922155834, + 148177370, + 201342735, + 476288139, + 7031854, + 408888148, + 907013036, + 652498214, + 602358953, + 540940904, + 191477172, + 25280335, + 668991083, + 553333298, + 189607418, + 995032888, + 378994158, + 139401343, + 631052634, + 277823985, + 625059721, + 146827481, + 73021186, + 827391694, + 872075679, + 710675073, + 234219925, + 457763252, + 732344772, + 795326225, + 247629600, + 718086688, + 899925356, + 891716350, + 395918676, + 797810623, + 852490946, + 526682265, + 347990402, + 129869764, + 657513930, + 263703597, + 160558122, + 849834121, + 919107216, + 342436598, + 491692640, + 478832393, + 386550885, + 955230740, + 203796205, + 424871147, + 620993611, + 375356715, + 509807272, + 223555963, + 765910020, + 983152828, + 522238657, + 13089880, + 923761523, + 338995163, + 479410912, + 752252235, + 2930605, + 532867784, + 233539401, + 779392618, + 614329619, + 244444766, + 758098805, + 178142614, + 748504712, + 310236735, + 621416437, + 161196180, + 295424600, + 78465427, + 278026061, + 912628510, + 503877017, + 954623680, + 219268711, + 762092222, + 851800548, + 928961464, + 373195061, + 51800354, + 754523626, + 843721335, + 933436205, + 627751114, + 794200578, + 903441212, + 174664328, + 664682447, + 289497349, + 823386714, + 783281589, + 113057708, + 864423065, + 412763543, + 207521098, + 484938454, + 86243355, + 268449499, + 493053270, + 685227052, + 352968900, + 19584989, + 916488253, + 130925059, + 676848330, + 845211025, + 909734937, + 520997904, + 56958998, + 536927939, + 795004033, + 759868152, + 188507000, + 104917147, + 212967737, + 833416061, + 880062585, + 711087419, + 607208890, + 74940437, + 251662724, + 128979193, + 183250502, + 916383159, + 673113597, + 183681696, + 6707130, + 421365481, + 515266009, + 227378217, + 902891850, + 826572750, + 797880091, + 798274195, + 665276706, + 573291964, + 285180877, + 869445765, + 616443699, + 438962527, + 491072675, + 661819443, + 585285094, + 840706869, + 166830189, + 27568566, + 258653724, + 937228914, + 796369443, + 626966409, + 380689209, + 876145900, + 774750489, + 855045348, + 394298561, + 219231181, + 740692470, + 714036701, + 128692742, + 943136202, + 521469032, + 900632222, + 565640828, + 490702226, + 916209283, + 681875496, + 576509402, + 763051945, + 541639496, + 690221840, + 826847045, + 213033656, + 433712557, + 511408844, + 835757091, + 830862634, + 616715901, + 647894450, + 253018460, + 785009994, + 138203799, + 478567377, + 132954800, + 679479087, + 812108165, + 556259215, + 905677377, + 70514536, + 520818726, + 42124574, + 344249017, + 655227407, + 426727621, + 687703183, + 546854242, + 949248839, + 76679400, + 137127147, + 613249789, + 32090325, + 842555922, + 854938371, + 456742974, + 472711461, + 910301352, + 17494039, + 971099607, + 781903596, + 939703899, + 13668295, + 418420814, + 915111936, + 890427564, + 608903686, + 274922917, + 395916600, + 266518982, + 193160800, + 686134516, + 4934087, + 873871325, + 364835375, + 942255870, + 103810196, + 127047932, + 914647193, + 225514996, + 125409687, + 961176530, + 732660677, + 182790892, + 508305747, + 891765514, + 755132054, + 646516886, + 56852602, + 476686531, + 715521789, + 801895200, + 780995555, + 8319291, + 773800979, + 138905745, + 330878154, + 529834156, + 160341615, + 783942148, + 501180881, + 530287862, + 164478505, + 936239943, + 797284947, + 425796239, + 439738279, + 332851498, + 385554511, + 791649525, + 414023004, + 389736969, + 667034583, + 735867796, + 360322653, + 773908129, + 798960740, + 101162576, + 867061248, + 603514447, + 563399637, + 861603706, + 245621086, + 962040668, + 862464047, + 782130731, + 522625452, + 233101608, + 523437262, + 762387393, + 637985766, + 855688620, + 555105530, + 206637915, + 201629869, + 262632872, + 639142766, + 789073834, + 885177783, + 807287729, + 267682914, + 475873735, + 571560349, + 64562066, + 623932509, + 725941902, + 609294532, + 764705297, + 545819751, + 600273801, + 92381224, + 404564477, + 650729402, + 825677453, + 976003780, + 790750673, + 875489760, + 275011842, + 182173834, + 334896168, + 711715132, + 616444198, + 879734695, + 755596474, + 902362491, + 815387761, + 356424511, + 358882207, + 898891966, + 856008133, + 331745021, + 534421919, + 212325327, + 99372088, + 121890446, + 56591192, + 235744693, + 472108438, + 271278804, + 830807230, + 257864147, + 520453506, + 912453546, + 451621316, + 420320293, + 471580864, + 721027712, + 277756895, + 912424312, + 807142615, + 162503753, + 478020543, + 856694318, + 657956176, + 696275091, + 168637067, + 754363776, + 734843750, + 956120814, + 745553865, + 618305597, + 199823583, + 784953172, + 818522829, + 159609422, + 625497808, + 316207645, + 341396133, + 173898901, + 940977132, + 901820382, + 672445379, + 602260707, + 758918771, + 561234725, + 675001158, + 103465814, + 661044316, + 356610318, + 986543195, + 815247646, + 899940374, + 131514168, + 207480561, + 810495386, + 137938233, + 984859569, + 181719562, + 166594144, + 999101763, + 536356054, + 17463023, + 392454691, + 445401423, + 444675125, + 509891020, + 665655001, + 628650677, + 129357271, + 536835537, + 457209883, + 35146862, + 60110620, + 284437669, + 195305959, + 648433538, + 252266066, + 892050875, + 573916558, + 330824328, + 892166959, + 881112458, + 406796489, + 945697077, + 902266273, + 460693762, + 884045070, + 662159402, + 328478335, + 1248177, + 594477268, + 847287420, + 571041459, + 771798770, + 833063738, + 419801132, + 741769498, + 308621134, + 262451009, + 308911151, + 660352203, + 226518788, + 594914337, + 528012489, + 948327505, + 291570076, + 861258017, + 882344773, + 39051160, + 424300126, + 151193848, + 860398723, + 939100507, + 382611029, + 832840503, + 137282800, + 232653831, + 659596285, + 208741380, + 575534826, + 33718269, + 339957113, + 842994085, + 830688244, + 562123042, + 813882837, + 484217598, + 996503768, + 987398728, + 588304860, + 862471291, + 997393228, + 381257947, + 252863559, + 692447830, + 736464287, + 816631428, + 306378266, + 580754870, + 176253070, + 137152836, + 652188809, + 99617498, + 491361607, + 223481550, + 289473908, + 100347574, + 424294633, + 742649437, + 765422456, + 54167058, + 323151546, + 37987725, + 73136697, + 81217285, + 855773918, + 797476373, + 749844484, + 379866671, + 926815162, + 373068195, + 109790807, + 515141876, + 277202614, + 445285634, + 127171204, + 423087774, + 822863084, + 328939149, + 369213663, + 166530578, + 286408536, + 122001861, + 368640710, + 242962713, + 895486392, + 436776933, + 804825566, + 188042806, + 96254910, + 986479664, + 651033524, + 650207125, + 376130291, + 514867560, + 506048454, + 668762922, + 557645339, + 710805403, + 1103699, + 181449518, + 301921380, + 343188055, + 819588591, + 212902070, + 314560317, + 9424462, + 511325265, + 446086472, + 276743915, + 225015506, + 759077320, + 350889884, + 649340534, + 511460540, + 655981613, + 663609380, + 237436360, + 881831209, + 533831109, + 15135320, + 773361623, + 354971015, + 171082187, + 688159225, + 288751017, + 618313486, + 828399581, + 985325606, + 968135037, + 797084929, + 504235677, + 608971199, + 487810617, + 610136133, + 474308744, + 561043892, + 973564531, + 981405977, + 837439081, + 418032850, + 433382119, + 701076151, + 509491667, + 771028976, + 881893754, + 822381283, + 612664698, + 730879069, + 647810376, + 356971286, + 160053814, + 596320941, + 915994744, + 932185887, + 49587493, + 155598257, + 588561585, + 63889893, + 880179721, + 433838762, + 118366972, + 851398535, + 637150246, + 421024674, + 589546543, + 566389937, + 6633140, + 453472938, + 539074437, + 368841425, + 61818664, + 884788174, + 908159330, + 185921272, + 190732469, + 62636819, + 971682128, + 124374294, + 481202196, + 532447590, + 617672755, + 699283026, + 264461370, + 163161795, + 536418728, + 628418839, + 639258714, + 118480522, + 92393487, + 723326704, + 6786929, + 499814287, + 471468729, + 540025398, + 191713673, + 237745402, + 7991692, + 46970927, + 905027296, + 905371604, + 148745463, + 43815164, + 248537076, + 332647971, + 951178858, + 995341494, + 37921885, + 143108352, + 829733581, + 421828191, + 163971748, + 125282777, + 347257600, + 322445671, + 93219878, + 268928691, + 137877126, + 688491495, + 211205015, + 946306250, + 485584653, + 391613037, + 156612330, + 105795440, + 646890414, + 130950670, + 50543037, + 204771351, + 423915439, + 797608962, + 134894474, + 496343966, + 852625485, + 23268936, + 927432177, + 755482955, + 324184451, + 333428372, + 926591810, + 807662764, + 887403107, + 545517452, + 206003931, + 316697958, + 187706045, + 939425354, + 671760577, + 847383851, + 59137286, + 765944096, + 497521245, + 367516537, + 182365669, + 905508875, + 788443869, + 96755286, + 91525342, + 80501025, + 242993415, + 93908430, + 739969214, + 674996260, + 617578067, + 809821829, + 650663596, + 484439953, + 347348739, + 768638889, + 762090309, + 719589097, + 278180042, + 743462557, + 141647820, + 501434997, + 985967491, + 580765927, + 981872683, + 204381930, + 811918865, + 628051570, + 42179359, + 137102114, + 189986771, + 794204313, + 700471405, + 316568221, + 715331730, + 899045531, + 88015147, + 609625938, + 800099667, + 713220323, + 683633379, + 375989977, + 363448300, + 852819871, + 42419935, + 141372385, + 727777359, + 234542857, + 186757723, + 168731013, + 854307705, + 931509374, + 379142996, + 323726928, + 989790132, + 308290010, + 849169924, + 481571466, + 892874614, + 245273713, + 318020179, + 674304257, + 538118293, + 558466547, + 480923321, + 626649346, + 75839825, + 978205247, + 534201063, + 619764962, + 802183118, + 368001961, + 359154917, + 938450882, + 153932572, + 969140709, + 445882300, + 336787966, + 26458254, + 953062561, + 774838684, + 625192122, + 391025461, + 978246587, + 110078681, + 804769134, + 28718756, + 133113959, + 367393718, + 782742916, + 851398438, + 29073407, + 849924062, + 917887145, + 785786360, + 318559820, + 506989195, + 224356348, + 649408952, + 424972615, + 525723330, + 513667636, + 735137676, + 998083528, + 659217859, + 408333123, + 323715719, + 69180730, + 705443423, + 653416224, + 789994820, + 565674993, + 821686206, + 429878819, + 70349811, + 460469361, + 553789945, + 489512984, + 806145540, + 386250386, + 169880439, + 747244464, + 97839102, + 893579038, + 786762100, + 990421845, + 56014953, + 844874722, + 493382460, + 37454683, + 78670257, + 441608721, + 783765385, + 986706102, + 76454055, + 820905164, + 995695108, + 332304737, + 661094984, + 355826979, + 807888301, + 585956062, + 396735721, + 792927421, + 510675130, + 51275248, + 293387043, + 32674467, + 568317053, + 997100827, + 97620321, + 63233533, + 315382832, + 671364718, + 867976285, + 234380574, + 196830605, + 230412063, + 262097759, + 271702042, + 953723548, + 367517739, + 531799284, + 373113809, + 27894279, + 15801513, + 405091962, + 611678010, + 165862228, + 821776595, + 328990122, + 52660598, + 775270368, + 409813699, + 534859533, + 708706750, + 934563972, + 82603808, + 15133790, + 597778323, + 861694670, + 709156291, + 764412958, + 671352217, + 801822213, + 469672824, + 780227467, + 926492848, + 96664752, + 629060807, + 989701283, + 183103103, + 921657810, + 998316310, + 126741504, + 149175403, + 556405661, + 576135998, + 791521836, + 996962060, + 278406980, + 306893620, + 495661410, + 572350485, + 978170624, + 766824932, + 977001120, + 91145224, + 637378199, + 356912348, + 678421392, + 280730531, + 518573469, + 812006476, + 746786660, + 223077681, + 226039457, + 449954960, + 860876488, + 857523748, + 211948271, + 638281598, + 996774605, + 768016347, + 364888746, + 89778755, + 93459379, + 147803200, + 59498766, + 90103100, + 895785640, + 835546595, + 596507885, + 469789432, + 436333088, + 13515465, + 23149870, + 257849151, + 334159039, + 162801240, + 293369863, + 579020470, + 562488036, + 932348118, + 247750629, + 89321391, + 602347555, + 512407001, + 547459831, + 117020079, + 508355445, + 777911474, + 117837629, + 244528978, + 324682794, + 373268979, + 49854769, + 489530303, + 914723331, + 953494865, + 458840495, + 300861627, + 829288652, + 695132910, + 649633463, + 111575188, + 263752670, + 315166736, + 209458725, + 278684041, + 601706487, + 956025358, + 10727204, + 467097086, + 644017055, + 763488785, + 515266080, + 246025191, + 899091594, + 3738487, + 974739917, + 118347406, + 5800269, + 386137711, + 637717304, + 908236878, + 976446296, + 971077351, + 801337355, + 753414777, + 434108784, + 59720306, + 919054084, + 582472901, + 261255031, + 55931310, + 156987335, + 745308173, + 118444641, + 789235761, + 135061872, + 581599069, + 887289800, + 128752306, + 220194953, + 759227246, + 180345504, + 208415813, + 894274447, + 294791668, + 188802528, + 216173502, + 459494631, + 54830372, + 777524638, + 902372978, + 522621561, + 249563693, + 263596190, + 292143581, + 759920934, + 860708814, + 918074885, + 735196943, + 357682324, + 301449004, + 631801535, + 161529368, + 947829401, + 500885443, + 34482715, + 591961159, + 424459373, + 607519439, + 551221579, + 636635697, + 564963295, + 345817413, + 184999660, + 361207779, + 628336713, + 879600209, + 526763986, + 621373276, + 783516735, + 951075997, + 599654573, + 227254972, + 736746047, + 44147050, + 494064713, + 262711274, + 145013306, + 577811410, + 557802000, + 183112717, + 257719732, + 892764035, + 945179367, + 370248083, + 792824279, + 47346647, + 40280827, + 90904695, + 849453399, + 771790415, + 792332684, + 491510568, + 195136096, + 943776074, + 308127539, + 472497984, + 859630624, + 737281499, + 629433717, + 881378836, + 368874568, + 903179528, + 299943158, + 332132978, + 174373201, + 520871122, + 742803018, + 842334851, + 115737855, + 617494609, + 96374133, + 285855153, + 147402444, + 822940626, + 565408179, + 437190215, + 714670396, + 196099160, + 643731571, + 786330918, + 540788410, + 530690290, + 609393236, + 401895709, + 218575767, + 555734150, + 725986740, + 817723691, + 395012371, + 761638521, + 340997989, + 958744273, + 257870508, + 993334909, + 93723055, + 270867521, + 714445982, + 270053618, + 970320863, + 195625385, + 8762629, + 724423602, + 581137281, + 353744754, + 609347862, + 192314514, + 911345588, + 761318548, + 944955624, + 483009507, + 702505002, + 590910864, + 85491915, + 184169878, + 425952042, + 605348992, + 913175082, + 12952999, + 643536107, + 131438677, + 284040713, + 953505566, + 364522135, + 842705601, + 780121833, + 756930541, + 86801448, + 633514902, + 520770822, + 465707657, + 726974508, + 122745830, + 246267790, + 910311665, + 222589619, + 207792722, + 382383720, + 761203130, + 824610515, + 714059231, + 182877716, + 899090314, + 140222348, + 414710949, + 906099114, + 532952399, + 704381893, + 950060422, + 932170433, + 437843112, + 286819311, + 233681117, + 104144656, + 240475947, + 480419368, + 954422521, + 926642689, + 912221275, + 580593354, + 331814545, + 766617163, + 993769254, + 865502380, + 180604774, + 489933539, + 424783024, + 318073629, + 815704791, + 166909235, + 190115599, + 719148202, + 692511164, + 91922100, + 248376364, + 314472117, + 558044155, + 327072850, + 201419685, + 721496173, + 740620316, + 492247143, + 408886561, + 620725595, + 985727458, + 26311209, + 757817502, + 825601017, + 111461838, + 374533912, + 992348710, + 363077426, + 945249365, + 32836275, + 566419117, + 460803059, + 735600974, + 90478259, + 560790458, + 191882737, + 350407949, + 11804719, + 135619204, + 942757582, + 815892470, + 4537934, + 66725409, + 974873117, + 710156323, + 30015365, + 542824226, + 905911808, + 317123249, + 482563414, + 60350217, + 94672854, + 728945030, + 15412376, + 373037033, + 557502714, + 831607417, + 600707723, + 874460316, + 195929260, + 294435024, + 385980942, + 900229392, + 971112358, + 937159887, + 536216921, + 757082019, + 430723652, + 969312622, + 143423698, + 6081719, + 275341105, + 92120724, + 96795000, + 935427257, + 674972764, + 798065588, + 510562755, + 83319993, + 432388979, + 53424438, + 810311927, + 675079661, + 370580978, + 365243105, + 87732583, + 2882255, + 17771025, + 742973988, + 336610435, + 127748894, + 744594067, + 140101965, + 717267447, + 414710433, + 656219456, + 201041005, + 366131947, + 824828229, + 395382018, + 573557049, + 512768501, + 945970728, + 183879823, + 527766009, + 524070383, + 467319246, + 979173261, + 23885322, + 525320798, + 395508976, + 729034913, + 533754066, + 527912820, + 374303513, + 870552722, + 408544893, + 150994149, + 348130103, + 825040851, + 687586118, + 174072632, + 313990236, + 195506512, + 818399079, + 589998819, + 836793423, + 748759435, + 384107578, + 41136448, + 346176412, + 337396409, + 276159194, + 389110244, + 584728006, + 805391126, + 170446223, + 34294827, + 369682096, + 729509318, + 592566414, + 208080800, + 361228440, + 815015717, + 47873658, + 715633554, + 529311783, + 864597513, + 87860861, + 903871407, + 312167924, + 591519727, + 235043341, + 302380072, + 391789708, + 168494676, + 1125174, + 815827735, + 650137046, + 204107518, + 551473510, + 632027968, + 353466026, + 868788858, + 713144948, + 67511840, + 823725057, + 168146451, + 77268905, + 867156366, + 415530936, + 939534991, + 936154520, + 948180741, + 88895648, + 177809060, + 491928369, + 396964091, + 546372196, + 24582472, + 561250221, + 694596976, + 447580062, + 789100619, + 707258400, + 929826276, + 606470092, + 608215378, + 6308158, + 68569088, + 888053888, + 156055316, + 888733310, + 475399663, + 171045534, + 300667620, + 994529895, + 138018895, + 890463666, + 773386457, + 816633221, + 696370375, + 143285925, + 157021355, + 930704158, + 619143769, + 436889949, + 722619719, + 356928571, + 877005245, + 431523799, + 324621358, + 778427551, + 835352926, + 449918360, + 243657341, + 342203357, + 492959422, + 927252971, + 381402047, + 639839692, + 626847995, + 284409679, + 440971926, + 351819459, + 111091505, + 778249399, + 416933197, + 732480196, + 400298058, + 649842485, + 257485809, + 544242353, + 190674034, + 397225084, + 897776740, + 531640999, + 552442542, + 481982051, + 488199327, + 723564743, + 903706625, + 554514669, + 440746721, + 840770824, + 579550990, + 372251541, + 546363460, + 182759234, + 292920219, + 168658082, + 11635852, + 677847836, + 875591147, + 946046711, + 757928682, + 262633201, + 723803348, + 957109494, + 601843109, + 446028009, + 689313484, + 53065876, + 474245439, + 742292792, + 501705683, + 640672328, + 961960200, + 776363489, + 25868408, + 247369817, + 438106492, + 148110044, + 25406683, + 434421740, + 474567156, + 517417407, + 227836, + 216571535, + 696060875, + 819932690, + 438409551, + 746612633, + 714960360, + 258043373, + 919725359, + 244736164, + 144004721, + 633854018, + 699910831, + 119285341, + 180305344, + 182637091, + 537144892, + 732604112, + 824261122, + 136882175, + 53047690, + 626957740, + 512340722, + 669531673, + 98616653, + 210022699, + 211040046, + 407852366, + 724787426, + 581357436, + 279503755, + 7213190, + 819991786, + 95057338, + 771874576, + 917473337, + 379639651, + 431340517, + 306459586, + 215332780, + 631614278, + 139797082, + 960076907, + 754370246, + 939794091, + 702083533, + 404923056, + 240200652, + 923833375, + 592841415, + 819948805, + 769888636, + 378152077, + 185106724, + 989314092, + 625828513, + 675863223, + 823031507, + 268353287, + 73884878, + 953170080, + 105633529, + 741159998, + 557591044, + 23929579, + 710033153, + 613426099, + 191282792, + 533152297, + 772016202, + 625634691, + 352459930, + 900988511, + 844431327, + 575958148, + 289419900, + 125159341, + 585345210, + 781212033, + 283721180, + 709662586, + 592516046, + 259839910, + 978333831, + 121022906, + 286340168, + 550891493, + 591590552, + 101237116, + 24268324, + 10045797, + 144525647, + 658333731, + 437278351, + 27314616, + 802462076, + 136969380, + 45885227, + 862572373, + 230832822, + 960812929, + 639468122, + 903590456, + 570465451, + 683686441, + 839882516, + 595832832, + 710235814, + 384168315, + 956496436, + 141133164, + 783082777, + 35211483, + 200633374, + 366713864, + 215441694, + 48580313, + 403181808, + 386598503, + 42310998, + 56810066, + 227683136, + 234402523, + 179292812, + 479170291, + 736932756, + 110998376, + 330726133, + 906871892, + 397970878, + 204322857, + 305970720, + 41379210, + 294628506, + 565289032, + 858840491, + 668993350, + 104598740, + 794296366, + 700715468, + 39854651, + 169178891, + 503368036, + 253508405, + 723804855, + 53877247, + 618359392, + 679618434, + 959000129, + 796676250, + 616441601, + 380456098, + 82737501, + 800931696, + 774965111, + 848386829, + 49951585, + 356232259, + 636739347, + 164318676, + 843507507, + 355422071, + 840127160, + 737760200, + 984928607, + 147000171, + 383722448, + 416221705, + 93833318, + 655644823, + 728355826, + 214411038, + 123529275, + 846141340, + 522229601, + 393672550, + 228622325, + 731490197, + 320845602, + 704405900, + 310560228, + 998252763, + 407741942, + 65234895, + 543383712, + 514928762, + 330954029, + 90681486, + 812138819, + 327564962, + 517940684, + 606094386, + 937740654, + 455703340, + 117706005, + 151586059, + 432987679, + 420695420, + 457633301, + 711436949, + 170142163, + 989614554, + 206091841, + 127358526, + 494671184, + 709167715, + 518821783, + 713895580, + 517932413, + 751629723, + 14926485, + 869126154, + 451883048, + 100194099, + 595693740, + 871918228, + 515739778, + 731979985, + 659152008, + 525733438, + 449980730, + 50814764, + 298216209, + 226245251, + 855290571, + 674061694, + 552292212, + 82903996, + 912274521, + 811961074, + 385351695, + 753196216, + 352466203, + 901336790, + 432012590, + 221556139, + 921033563, + 755684400, + 970328114, + 519947152, + 594898594, + 784739163, + 916113861, + 196890368, + 874585276, + 617083802, + 136557470, + 649643861, + 506964787, + 46494554, + 584934542, + 77488200, + 691453480, + 239519828, + 567097581, + 808809062, + 143195141, + 832596247, + 158253340, + 996669953, + 690183733, + 164033892, + 865042060, + 173848081, + 798445170, + 832175568, + 575126593, + 371187161, + 363348582, + 972273077, + 720235957, + 392749507, + 844564348, + 769089509, + 54158992, + 138218950, + 165070803, + 693164461, + 669468457, + 616041694, + 365307097, + 452360166, + 638255383, + 435915982, + 328306648, + 618910800, + 438320222, + 566293061, + 754991206, + 199151950, + 797707559, + 356180326, + 673687925, + 834897342, + 582677295, + 532159549, + 119448085, + 68534757, + 29114738, + 528989674, + 154092751, + 981364903, + 692892188, + 557927055, + 448564024, + 784320594, + 325572738, + 530733979, + 893751785, + 786660502, + 887240991, + 844465255, + 830618084, + 4133678, + 336514461, + 628770578, + 121278207, + 566279062, + 707093197, + 256544382, + 765169177, + 871635194, + 134013847, + 898968454, + 720336127, + 503288047, + 649328999, + 275274301, + 2777535, + 433077531, + 683015843, + 659795675, + 365215316, + 96818206, + 563947964, + 414776342, + 950440447, + 406354468, + 43603539, + 910312622, + 956299967, + 934984104, + 14717383, + 746109779, + 871782930, + 525852313, + 7229394, + 541006536, + 51853530, + 113144863, + 568738518, + 690780040, + 540953882, + 244161804, + 855634032, + 486703147, + 51814560, + 82044715, + 207986727, + 124733813, + 742357651, + 959696328, + 370914044, + 406776525, + 717694801, + 450656530, + 888410334, + 805122350, + 697014077, + 329782798, + 684066919, + 744218380, + 814546367, + 326148986, + 195420251, + 268634400, + 364312180, + 418921466, + 684810830, + 882274919, + 781018305, + 628920467, + 505292968, + 54629407, + 876854453, + 675111157, + 469693007, + 940610723, + 739938313, + 285394510, + 242535789, + 689780335, + 264834821, + 59743076, + 212892685, + 494928477, + 865121847, + 114047745, + 254717231, + 736146020, + 661752033, + 538350061, + 372502980, + 28632108, + 966959836, + 469731158, + 433485816, + 676208333, + 975349879, + 853529361, + 316746099, + 917989091, + 307934617, + 913047788, + 362531365, + 9828214, + 290132343, + 28582016, + 224186148, + 692153206, + 306229690, + 886303777, + 955012482, + 768677985, + 895677810, + 524921679, + 380192594, + 787723361, + 298067355, + 679081312, + 469110918, + 754854639, + 81924332, + 718435084, + 767078915, + 896919813, + 450236868, + 921995588, + 390246105, + 107594349, + 840250913, + 430040452, + 245551671, + 790237672, + 972188732, + 905410192, + 283588289, + 76319427, + 1953829, + 984690188, + 819048049, + 234285583, + 898805323, + 166827536, + 332757137, + 372170547, + 600196656, + 884261314, + 757000396, + 816198634, + 643293044, + 368797728, + 633368306, + 676992131, + 725442443, + 278664049, + 307451753, + 60450184, + 973273397, + 586303062, + 530243954, + 826090480, + 164023723, + 292089605, + 313173090, + 759788145, + 366966130, + 351128173, + 993446006, + 867727350, + 310504024, + 821484748, + 958661318, + 982167731, + 174182212, + 895826212, + 367206230, + 51714324, + 172497868, + 88526265, + 107560657, + 499971790, + 835569259, + 75379328, + 680953683, + 248855453, + 663252792, + 334756094, + 471370845, + 919919507, + 203137975, + 837591398, + 605821711, + 295761375, + 870390476, + 454047899, + 86875071, + 501959246, + 595614486, + 871257144, + 805244777, + 686602375, + 97402119, + 213617708, + 17962089, + 397271141, + 801498154, + 10088796, + 864452088, + 941186551, + 220987649, + 751093228, + 180103596, + 15259901, + 394860076, + 492181443, + 779818980, + 551816743, + 792097912, + 371675781, + 118800304, + 971046353, + 578787355, + 745283687, + 898838230, + 929609563, + 628563182, + 244525589, + 612009433, + 531126330, + 735432436, + 634427210, + 30904382, + 47012917, + 415143815, + 892900063, + 727841477, + 97507326, + 603893349, + 344392185, + 765021468, + 325826386, + 755141794, + 775295804, + 524954649, + 814806360, + 54875433, + 413900528, + 242145815, + 588076475, + 949067839, + 165105209, + 382965679, + 614790819, + 167258856, + 509033375, + 144033288, + 257385547, + 907383813, + 202420016, + 828423000, + 823520598, + 876569297, + 605380333, + 79087835, + 357294120, + 334628033, + 807523102, + 565769518, + 671090412, + 71000886, + 772062012, + 535036235, + 26492858, + 694418796, + 847204233, + 761383800, + 658251286, + 884397048, + 570100108, + 752880756, + 51160484, + 127662325, + 649289147, + 191834925, + 135718296, + 474759814, + 875561012, + 138729188, + 484268089, + 766030120, + 839443707, + 589601561, + 923864260, + 657757261, + 736170722, + 23929549, + 104837711, + 736243232, + 599807247, + 279468157, + 51308054, + 923129622, + 958712770, + 504817706, + 119846292, + 89664579, + 277358290, + 362354448, + 121931789, + 443824432, + 917282732, + 744924466, + 643658702, + 814190511, + 328840532, + 666485050, + 264996913, + 176466371, + 559255632, + 233449185, + 26643086, + 701586001, + 422484058, + 949446166, + 205146853, + 344927748, + 856310311, + 741603644, + 63541304, + 285784266, + 185708516, + 151763083, + 533092041, + 960411189, + 164387900, + 142035599, + 370939951, + 736225597, + 313181333, + 18441862, + 11638378, + 892655906, + 930712841, + 836360315, + 980769074, + 64374548, + 731066359, + 31228323, + 559893625, + 230809421, + 308917897, + 604645639, + 124448451, + 949392808, + 141783310, + 351591175, + 733660387, + 980693741, + 256134743, + 918910640, + 585764265, + 477282286, + 834303212, + 632914647, + 561443753, + 629849802, + 70104236, + 635707874, + 328049098, + 437909819, + 471459916, + 761010643, + 494592543, + 388747507, + 138615446, + 558960602, + 198100558, + 886585961, + 706134888, + 200849171, + 607349207, + 719832002, + 331626448, + 829291681, + 781569256, + 953458818, + 491000641, + 842469982, + 518990874, + 162684443, + 257859904, + 623916918, + 324098278, + 536872015, + 84024176, + 720646416, + 279532184, + 420780377, + 566142365, + 515336408, + 248690810, + 843833991, + 730656414, + 61347566, + 736819667, + 743262351, + 706607147, + 645240870, + 293782234, + 713981832, + 350674321, + 43867152, + 91788976, + 60521529, + 978587899, + 408565530, + 409814186, + 958029339, + 703428576, + 501501339, + 983605731, + 849950009, + 135022010, + 742191812, + 161869299, + 574559176, + 539217270, + 916707070, + 614912838, + 966594606, + 532483655, + 990205272, + 92525681, + 451063482, + 851857001, + 89026378, + 256829322, + 152545709, + 355442299, + 423122508, + 155275014, + 7791950, + 809646393, + 601402222, + 399442556, + 443912113, + 360839500, + 425879213, + 334758001, + 778866261, + 493430435, + 557843589, + 217592053, + 112139442, + 993512353, + 560733302, + 467387059, + 400760436, + 810582945, + 637234760, + 793921464, + 957269548, + 43643240, + 370281577, + 116203127, + 636985677, + 123688593, + 946653773, + 118631620, + 911671814, + 822988245, + 160779321, + 206506209, + 933787411, + 987354859, + 441180683, + 197235128, + 630115926, + 954937313, + 142541167, + 74316008, + 645592813, + 613118778, + 80097437, + 489049881, + 526865403, + 178436918, + 279998435, + 193369089, + 43713251, + 130108845, + 573699291, + 660881097, + 903952780, + 386140115, + 943780511, + 832435772, + 736077324, + 589294049, + 348866736, + 229378043, + 662842259, + 208250449, + 249592652, + 524166960, + 517935951, + 181437462, + 266321615, + 647114967, + 145665211, + 700199349, + 128102439, + 272020345, + 188660775, + 578868813, + 475635983, + 415227190, + 433636699, + 446890070, + 822714733, + 360183442, + 993794886, + 286369680, + 757584438, + 337765081, + 587652394, + 793501906, + 799225912, + 646786255, + 803090175, + 969713399, + 390345449, + 482133, + 238008343, + 444033664, + 818287798, + 188978431, + 745776578, + 553807645, + 258760999, + 118370225, + 454886459, + 998702080, + 826135020, + 634591522, + 776445064, + 898460379, + 550066816, + 716682940, + 58562328, + 536554566, + 973304634, + 744914493, + 527091284, + 893806021, + 176029763, + 244340391, + 931318909, + 318996332, + 438145314, + 890309255, + 781108666, + 135078703, + 830021614, + 593111200, + 119230352, + 994499987, + 988228680, + 430298614, + 30775265, + 653131574, + 902368065, + 202051908, + 951682357, + 666790868, + 414004266, + 820575465, + 387630233, + 733445403, + 941329274, + 990255179, + 930129593, + 902782929, + 888496984, + 732366859, + 334497578, + 280315454, + 224705134, + 518870039, + 462684997, + 701195466, + 431276433, + 354954237, + 332528989, + 526701758, + 222039935, + 212732021, + 541677431, + 893390045, + 953929262, + 924633831, + 752552177, + 619748582, + 523090904, + 592575439, + 306502796, + 56021950, + 433915458, + 660976403, + 867521482, + 694443500, + 604988036, + 81875217, + 321296141, + 275087944, + 854011115, + 700168114, + 984834563, + 356409692, + 362492789, + 634664659, + 521115103, + 942600023, + 584087876, + 834181628, + 430578483, + 575738974, + 637671077, + 469827815, + 689813572, + 90265612, + 481492625, + 85732439, + 65939351, + 311646556, + 106689191, + 827244654, + 682942666, + 234034547, + 496114354, + 315421004, + 537725124, + 81658901, + 361132316, + 73259857, + 34373783, + 36962648, + 18311780, + 48928871, + 99460691, + 243332212, + 433216654, + 635715607, + 338782311, + 148090685, + 829871319, + 616434423, + 691615996, + 728415765, + 164752684, + 109533794, + 54034445, + 878822487, + 281563669, + 102322265, + 173504882, + 805957446, + 253081691, + 154028298, + 908251098, + 151048198, + 770558055, + 394323931, + 711870788, + 400767929, + 273529888, + 364710894, + 186720063, + 203903383, + 764083177, + 951489458, + 830766614, + 481194371, + 14621108, + 526954309, + 774921399, + 72318616, + 413726201, + 842830643, + 375469294, + 13298591, + 454712912, + 764834303, + 788508992, + 252635712, + 40810356, + 602998310, + 212062367, + 719478248, + 202406736, + 84058777, + 419072272, + 919686461, + 719472718, + 942226558, + 848998623, + 471110957, + 726226044, + 585560562, + 248926452, + 287946280, + 781111867, + 439378031, + 435327629, + 458393081, + 345388581, + 764055753, + 635346153, + 995493057, + 999318935, + 166202898, + 146460462, + 547866916, + 314008766, + 575125012, + 526199502, + 100729003, + 802542174, + 227292368, + 163373902, + 789181259, + 784936329, + 582074407, + 916913627, + 388305321, + 964550089, + 879746359, + 296360677, + 48880930, + 475063773, + 806723686, + 367761152, + 734352311, + 547827477, + 93985803, + 407018146, + 350793919, + 800042370, + 875703632, + 439618456, + 906493131, + 865901709, + 181822384, + 658364560, + 572982154, + 113833042, + 917276090, + 11693876, + 214673957, + 311293959, + 619493371, + 743840433, + 178396345, + 892215163, + 65350740, + 198446589, + 839043754, + 947404763, + 705184818, + 322265786, + 611095208, + 678771279, + 762685184, + 290268075, + 858188852, + 417274545, + 666896508, + 651035059, + 431098723, + 267975097, + 700798166, + 125297468, + 679727043, + 697366672, + 671617066, + 457340217, + 801557146, + 422118165, + 586395874, + 446228698, + 806908570, + 750017207, + 693706900, + 361580499, + 485516320, + 44724990, + 533049460, + 805446622, + 16109379, + 294797176, + 450488698, + 258496215, + 742998251, + 357327876, + 488470035, + 53932170, + 733579744, + 375616907, + 494933166, + 253705259, + 316142911, + 816123300, + 863435092, + 946349868, + 207739213, + 235122677, + 345149888, + 446498795, + 64894442, + 406750353, + 204166487, + 121632622, + 610367127, + 468610515, + 938747853, + 624565440, + 737699201, + 39908753, + 342937293, + 388778217, + 891700802, + 912726805, + 338990470, + 300781589, + 535591469, + 60283705, + 400840888, + 40615297, + 676360606, + 110419657, + 283476080, + 470854247, + 930549360, + 545573195, + 676024003, + 834939919, + 496803786, + 744460140, + 334970456, + 725902053, + 205588448, + 692409843, + 715708029, + 145765591, + 640164725, + 209049938, + 892547168, + 372374694, + 782087313, + 459908562, + 927800101, + 519926632, + 449367535, + 475777040, + 814154568, + 159565715, + 93717517, + 398196853, + 648027168, + 230889678, + 555019749, + 614878567, + 24179258, + 530307841, + 401940222, + 40096179, + 58544007, + 175241394, + 508696777, + 733975223, + 739506865, + 63101122, + 660868076, + 815425855, + 553439443, + 741662991, + 49367310, + 973353871, + 736294270, + 573625999, + 143745089, + 167239276, + 299383102, + 691299085, + 308585450, + 113098141, + 342485849, + 610543863, + 386861278, + 768309757, + 367149525, + 431876488, + 155199268, + 453006603, + 839647272, + 637890308, + 916920232, + 524915412, + 893376600, + 625749130, + 987669124, + 877942382, + 708176307, + 163331506, + 844411659, + 636495281, + 381084681, + 836225143, + 729974134, + 268402178, + 622649171, + 395847654, + 801204711, + 613592121, + 38963756, + 711407077, + 635772023, + 112423862, + 608481177, + 227299789, + 264324762, + 499526228, + 593920388, + 552608969, + 250193284, + 189675826, + 851581719, + 305132085, + 364595305, + 385995094, + 541906033, + 720286621, + 846265824, + 660604601, + 563943647, + 142319697, + 489304840, + 336206377, + 875571355, + 166225042, + 863450759, + 321918575, + 739441737, + 385359384, + 438148633, + 540649135, + 949890102, + 505526412, + 220230922, + 563877759, + 592002549, + 806625451, + 181168378, + 459373761, + 217738991, + 65103285, + 934432451, + 657638050, + 438468108, + 582302514, + 567301915, + 234851119, + 377904102, + 303827571, + 4439966, + 665885741, + 393264566, + 760126680, + 993792681, + 202067685, + 220013635, + 260253126, + 17126522, + 599289121, + 286522304, + 459392316, + 392303278, + 466967180, + 168397669, + 861944715, + 586002736, + 963080404, + 165018139, + 77427952, + 399668067, + 51565447, + 831601194, + 19374143, + 221980898, + 365447168, + 953070310, + 943440277, + 39255069, + 700518809, + 565266721, + 588521731, + 392928183, + 545733900, + 37067529, + 278300397, + 365947218, + 6414400, + 17322264, + 710992824, + 938712028, + 672659040, + 390046505, + 630681429, + 855799997, + 492270589, + 710250378, + 358252438, + 902747750, + 963508836, + 184212592, + 208187661, + 622493648, + 876961865, + 190279506, + 444931092, + 3569175, + 426657486, + 521857654, + 553241548, + 912453445, + 986283270, + 411663500, + 308519804, + 714484290, + 291860157, + 902550831, + 180218607, + 936211190, + 172163521, + 125194202, + 691828937, + 825638546, + 187602245, + 885840895, + 683826283, + 928031406, + 409512059, + 779798711, + 887948398, + 317401364, + 900813319, + 100453837, + 692534248, + 220363263, + 503959144, + 650049882, + 467929218, + 17090900, + 687598231, + 282930285, + 327684814, + 718787869, + 283522129, + 508547076, + 666664349, + 483427660, + 675148315, + 559771911, + 950674160, + 305304092, + 248285395, + 20846614, + 277863253, + 80540330, + 113553152, + 479105288, + 164243247, + 711528688, + 149515993, + 61327079, + 851292848, + 613958905, + 11822622, + 279781806, + 4678630, + 542162722, + 203409494, + 439859533, + 152669029, + 536542770, + 497359022, + 340902631, + 933938399, + 931731480, + 484999951, + 177895770, + 358157400, + 952745828, + 503469208, + 299227383, + 641598932, + 698755356, + 312496985, + 926820703, + 24415843, + 522048737, + 185409199, + 754573385, + 801093688, + 311039048, + 275638742, + 734159497, + 447299729, + 467890320, + 924539263, + 585246723, + 364037368, + 587482678, + 145386396, + 578291396, + 647802789, + 718212635, + 491798369, + 699884659, + 223265082, + 114290775, + 808657812, + 914366379, + 285083303, + 633830080, + 391323301, + 317844762, + 137910128, + 7429141, + 157169514, + 553396773, + 926951609, + 407660907, + 229914916, + 424037404, + 474239163, + 135894910, + 378560755, + 431621856, + 244496301, + 408886082, + 945790534, + 143994822, + 773243772, + 784665997, + 362944750, + 98682425, + 478578304, + 136772375, + 505509732, + 361937893, + 427394957, + 563260755, + 785897782, + 394268122, + 978402286, + 872602058, + 418918655, + 620525200, + 521745199, + 273641193, + 458654650, + 153242581, + 175385535, + 737491509, + 962774637, + 64578567, + 21809593, + 280397988, + 413964542, + 251878004, + 615720468, + 358993063, + 284589062, + 270427074, + 834280022, + 1667835, + 188729218, + 606363219, + 939840313, + 151686391, + 581105088, + 807374800, + 697366784, + 834634790, + 359724875, + 20786639, + 678237904, + 650350580, + 573539131, + 757913914, + 365119059, + 165928424, + 874006212, + 798655700, + 541045081, + 337959908, + 488762174, + 591086912, + 617240359, + 899783908, + 491605222, + 772119427, + 359591326, + 350002738, + 257632258, + 966417521, + 206887571, + 696443034, + 111278204, + 166917297, + 73854553, + 172680019, + 665494600, + 632976158, + 522167320, + 793650033, + 742275607, + 870886325, + 397284944, + 723803107, + 469315497, + 872750341, + 582366362, + 241910306, + 353221975, + 463260500, + 881109507, + 12700500, + 913640, + 628635474, + 305054978, + 934325647, + 562135430, + 650292256, + 682118248, + 252113498, + 929083330, + 426136197, + 729623682, + 459776616, + 642927591, + 551617976, + 213600611, + 458374999, + 366640695, + 320649836, + 836431204, + 356274160, + 439016711, + 271513484, + 57669468, + 761676005, + 46953832, + 264371353, + 517646572, + 831585319, + 282734509, + 345134425, + 847115765, + 429363979, + 927528575, + 441424050, + 162982009, + 582053405, + 337212788, + 705211157, + 603568638, + 97459067, + 953378280, + 25312497, + 734596284, + 688505591, + 851324149, + 476896744, + 990513270, + 914231009, + 356709206, + 9278054, + 408302009, + 116508763, + 371947152, + 327254934, + 82241609, + 815473704, + 143596533, + 902266859, + 839183299, + 686883965, + 977878133, + 63228038, + 95837940, + 542544385, + 202025370, + 854343637, + 825793945, + 937278935, + 208290561, + 26974805, + 677822455, + 463277909, + 116781879, + 989468501, + 632889397, + 739206824, + 664915879, + 149955813, + 164494161, + 747275848, + 936841443, + 603515041, + 536066120, + 10421781, + 167083599, + 35412506, + 33242408, + 929066787, + 35660746, + 825964745, + 607902800, + 395003602, + 8139386, + 935735775, + 28152108, + 202403018, + 769008167, + 341234395, + 577562075, + 431018016, + 99671317, + 595015312, + 251888544, + 582933340, + 79424393, + 8788042, + 745787096, + 280692533, + 473429334, + 175912819, + 513350572, + 137878443, + 798448076, + 594792063, + 846429834, + 697773027, + 818778652, + 239656537, + 795844325, + 69307893, + 212637005, + 75173913, + 196026865, + 154086791, + 426260476, + 380781993, + 367348334, + 386244551, + 979019491, + 121723269, + 289179090, + 981481979, + 838403266, + 317804760, + 978431305, + 950888140, + 997845673, + 331729542, + 971601254, + 926816436, + 782626720, + 361075449, + 237442275, + 879591311, + 13356060, + 869446643, + 334157967, + 883555050, + 851515175, + 15079629, + 736782271, + 548480422, + 249371393, + 208874941, + 599798492, + 901145587, + 52973619, + 492114761, + 385774916, + 217316340, + 696740397, + 276889089, + 152616198, + 877758806, + 549934384, + 188455903, + 642080798, + 219991040, + 715777999, + 324484559, + 807892431, + 781860050, + 272566717, + 813749847, + 117540227, + 837760263, + 646903740, + 857892920, + 829504824, + 589670208, + 368781825, + 615757027, + 949588867, + 360461699, + 72031325, + 175071235, + 393354655, + 349895705, + 267374205, + 242204920, + 711657173, + 167596278, + 534048617, + 527841972, + 539278104, + 815988177, + 881077964, + 183174397, + 314990768, + 203521435, + 75687153, + 137483867, + 539371622, + 689403412, + 341515902, + 225654106, + 395790815, + 716285311, + 388020625, + 136865294, + 794529970, + 913532407, + 432384515, + 323235970, + 117410198, + 607063512, + 111306202, + 948501775, + 253343278, + 105270065, + 329977329, + 946314966, + 377140068, + 176906451, + 454563089, + 152453444, + 525209700, + 979993293, + 697795660, + 619981965, + 72063258, + 85691948, + 267533130, + 741186707, + 622860633, + 722619944, + 293332405, + 848161794, + 828693988, + 106851003, + 915102470, + 149375872, + 449510186, + 555687046, + 906783505, + 267980869, + 14205151, + 207369613, + 225547270, + 270254217, + 974492995, + 877655412, + 523758970, + 118926846, + 383875423, + 496333812, + 902617734, + 754108699, + 512053625, + 2035823, + 358904331, + 178407189, + 129415016, + 342355721, + 738169600, + 777916963, + 395036161, + 274616174, + 839485442, + 407126529, + 906159071, + 882883299, + 828611228, + 645665906, + 458216734, + 195112314, + 175015070, + 116139245, + 183303699, + 480343661, + 804870296, + 520428672, + 559753721, + 416246747, + 359414214, + 260247578, + 717121252, + 226905555, + 980112034, + 864360083, + 584812408, + 123589901, + 893186020, + 281301078, + 299846521, + 193467716, + 33177185, + 408979455, + 922251965, + 559373432, + 113287777, + 80633071, + 504990024, + 847140235, + 607989342, + 181157719, + 26048543, + 164041767, + 380902168, + 138201298, + 557549945, + 223731087, + 269258919, + 816638917, + 885401511, + 754565368, + 436659607, + 291066919, + 145741757, + 961277049, + 380354473, + 308183656, + 342541957, + 910061103, + 418486209, + 980576415, + 35525516, + 800014245, + 161965776, + 86078841, + 893298894, + 994979910, + 157609178, + 151394215, + 548461989, + 978690411, + 38012077, + 238930263, + 511194983, + 197747026, + 232042700, + 178802259, + 916058108, + 41556938, + 721360653, + 839961508, + 252084545, + 760390706, + 758003621, + 886766524, + 828985735, + 830062769, + 656040165, + 868860344, + 51010246, + 437516428, + 517487845, + 388208155, + 595427375, + 867967596, + 204162909, + 102896991, + 525765314, + 50219312, + 420449105, + 693356091, + 473523505, + 601239628, + 353170848, + 388864723, + 999649892, + 768389739, + 533299773, + 917155856, + 174288340, + 584527240, + 747917015, + 73150528, + 627543555, + 203775628, + 209746035, + 244612781, + 876234706, + 601531873, + 999348736, + 904760577, + 895774028, + 93357328, + 609600389, + 624753981, + 478492283, + 898338575, + 114527986, + 358948905, + 893734356, + 332479109, + 461385452, + 716952785, + 395179355, + 496664423, + 794767583, + 237628512, + 640585324, + 563471572, + 437190996, + 405506052, + 895330092, + 356389936, + 583977718, + 810304098, + 746667083, + 122459232, + 243236230, + 553774828, + 959601913, + 388345857, + 929498248, + 500463763, + 378487467, + 793079972, + 942187788, + 62933738, + 958026540, + 887678434, + 636779266, + 260494035, + 804844177, + 423036465, + 662784359, + 730793990, + 38091930, + 10535793, + 615670302, + 705970924, + 783756237, + 162614373, + 94517383, + 96023814, + 214187766, + 558384162, + 733949455, + 650184246, + 459975260, + 590075774, + 884394385, + 445727756, + 148469720, + 858559774, + 98360516, + 215252418, + 573310952, + 117066296, + 969111462, + 689609529, + 161852448, + 684784608, + 906920449, + 833658598, + 536096596, + 522244270, + 459035476, + 321299872, + 205064247, + 574647572, + 119849120, + 855899529, + 669794822, + 500864876, + 612614967, + 564615427, + 619029242, + 537581145, + 450183856, + 576549130, + 952084169, + 761362544, + 174971814, + 653749380, + 355312683, + 629732380, + 118581486, + 934854342, + 669451054, + 636154079, + 946354387, + 677968894, + 577377799, + 977654735, + 926139226, + 458957062, + 462480882, + 508306527, + 301656194, + 938212680, + 596922786, + 319475923, + 168680404, + 116673983, + 833563711, + 91963659, + 432878428, + 55308345, + 729964953, + 2605984, + 36813072, + 184224502, + 368815443, + 953443104, + 146224318, + 633089317, + 929984544, + 435541419, + 191571073, + 965089204, + 964785890, + 786750942, + 788423018, + 812012263, + 446900207, + 257591240, + 147318376, + 331457961, + 129142666, + 86903879, + 542965331, + 809006415, + 750561917, + 937919122, + 700857591, + 112244447, + 140620668, + 965212633, + 66525560, + 93023960, + 538819316, + 759995479, + 143789329, + 619055855, + 809659547, + 780591279, + 440557650, + 392792125, + 936962496, + 251662839, + 765371250, + 106631101, + 733159304, + 577683461, + 814150046, + 803319139, + 223616288, + 722765945, + 986910645, + 578947037, + 567622869, + 573934147, + 298987415, + 101799664, + 202990837, + 917549458, + 254108356, + 531312368, + 824046762, + 63994605, + 222811644, + 224641046, + 653302890, + 406824973, + 445409041, + 44036677, + 798184805, + 933786077, + 669345801, + 64449623, + 93090855, + 374164052, + 986058386, + 801223459, + 895945248, + 557702942, + 918899187, + 716273874, + 503933920, + 423160618, + 464210086, + 626190792, + 538518171, + 372870728, + 146287741, + 559899866, + 251265478, + 501736103, + 428683569, + 595248634, + 531511572, + 256041942, + 750833885, + 630519969, + 475362729, + 436898595, + 796196298, + 310802643, + 703742491, + 409926550, + 2939558, + 739065256, + 277898786, + 995480221, + 655240668, + 239856798, + 659132153, + 921705584, + 463024316, + 666058234, + 462608969, + 154775044, + 785339768, + 397038090, + 22370043, + 754575246, + 933322081, + 844110615, + 913225990, + 641707583, + 34172023, + 641666441, + 41836341, + 203552616, + 277678799, + 340912851, + 279448145, + 120808465, + 919367532, + 421807628, + 459859159, + 625083149, + 359155808, + 611385575, + 458460908, + 290078479, + 527629716, + 453086809, + 915763266, + 182926633, + 289844778, + 947386328, + 807841971, + 420093857, + 646641937, + 574831540, + 570964383, + 726152207, + 690277460, + 933465661, + 626541763, + 163765759, + 438001581, + 776569882, + 909213947, + 366143732, + 669010183, + 482753996, + 879426765, + 833536115, + 890731412, + 554900746, + 204194929, + 576795434, + 440185543, + 35744270, + 760436040, + 61562440, + 547865427, + 856423185, + 215871414, + 143543295, + 631406986, + 971194924, + 687732015, + 311390818, + 947322125, + 302837983, + 364371797, + 142280683, + 650806693, + 908934057, + 121100915, + 459352816, + 382665644, + 345388990, + 786277373, + 79776065, + 217745070, + 679864474, + 473833777, + 280683396, + 426421582, + 875587930, + 952668025, + 403809387, + 188666232, + 741381130, + 585908261, + 784460117, + 150658051, + 67525293, + 797558573, + 713845071, + 5783057, + 582058160, + 281381108, + 375770262, + 381605541, + 718805733, + 959058704, + 529710781, + 758556495, + 623147910, + 265466475, + 457372028, + 815087375, + 873375635, + 389490230, + 784527077, + 351132088, + 208493765, + 603226446, + 994485567, + 187715850, + 909635247, + 481381078, + 957321954, + 651767830, + 857500599, + 191566654, + 698065404, + 83996915, + 507463213, + 386863835, + 530807300, + 428361531, + 45557014, + 851959510, + 53911109, + 947791015, + 694574986, + 589439344, + 614333407, + 496288070, + 175482342, + 523348990, + 415301653, + 266407009, + 933363089, + 579759363, + 918364522, + 557410228, + 78567411, + 38538050, + 154327643, + 469533142, + 753589414, + 777426760, + 638826193, + 825649620, + 89907962, + 728404907, + 181665517, + 641384427, + 61170406, + 755530815, + 879667761, + 441834414, + 387070740, + 443710331, + 274651599, + 628218557, + 240929846, + 195153231, + 226397848, + 326249576, + 23008334, + 983828753, + 176143110, + 682200570, + 322975464, + 563615797, + 413647125, + 347199757, + 90527143, + 609160732, + 30202076, + 729926884, + 19018197, + 443847009, + 2056226, + 732386855, + 96255813, + 465133430, + 289170979, + 903974771, + 292253001, + 192679053, + 243360013, + 134537096, + 99766602, + 807397287, + 643739721, + 981318126, + 59186993, + 693108285, + 755467678, + 261344437, + 66051387, + 20307871, + 280451882, + 587806027, + 678313826, + 821138298, + 358931056, + 341664076, + 903050105, + 369021547, + 241913813, + 4118166, + 721260297, + 91205646, + 288345344, + 660570684, + 235891322, + 543579682, + 4574591, + 968484657, + 195947551, + 429876265, + 534859023, + 929201296, + 769585755, + 294844596, + 736368465, + 769200996, + 360024085, + 932716010, + 925847482, + 25642136, + 13680764, + 65468278, + 746767261, + 433989579, + 93961373, + 252184113, + 874095468, + 86022185, + 94250938, + 929508844, + 95203134, + 174494517, + 742674704, + 884210820, + 655534128, + 739127169, + 355958031, + 765742297, + 64566443, + 131905826, + 468070283, + 297766841, + 11954134, + 247010347, + 425273250, + 595699621, + 591653440, + 634060401, + 284193151, + 192354634, + 103895310, + 660768230, + 294360765, + 217806469, + 357771498, + 801051808, + 506714138, + 319280032, + 733166419, + 909887961, + 520667370, + 766649218, + 719950933, + 280315603, + 541141095, + 579706092, + 243414616, + 748929330, + 986590903, + 409008601, + 777891076, + 331831488, + 81154545, + 707570872, + 418533992, + 534758843, + 632807502, + 306224007, + 414611410, + 905622216, + 464951972, + 186778778, + 970150597, + 909608250, + 132105028, + 907088217, + 41639710, + 192516857, + 774051423, + 747410011, + 323761630, + 748450652, + 394721393, + 760897688, + 468511836, + 507122275, + 918754848, + 703865949, + 800175763, + 435172395, + 341290431, + 101342456, + 748245768, + 357628033, + 523720346, + 987544969, + 492241194, + 41414152, + 273741371, + 483252554, + 430016103, + 365671135, + 301722763, + 559474692, + 533429488, + 875663781, + 479611562, + 450974072, + 759225551, + 468403998, + 6521812, + 372092875, + 74709664, + 868526845, + 810076909, + 121856922, + 970252187, + 282771224, + 837836228, + 439056374, + 3880811, + 641929188, + 946505221, + 507524099, + 953597122, + 993130855, + 783045821, + 761171969, + 997613430, + 867878176, + 715554635, + 573007551, + 314869855, + 467822883, + 100323211, + 775324382, + 680008566, + 189121313, + 278776511, + 853043797, + 39462859, + 136787748, + 848028963, + 306033020, + 483415803, + 170959775, + 162738640, + 956117496, + 418002450, + 59954806, + 608633065, + 347196192, + 461226706, + 344003735, + 361189796, + 876234813, + 206212144, + 117233385, + 669359564, + 372417294, + 527054354, + 650990463, + 723960024, + 116596886, + 113452214, + 286200780, + 387886767, + 59880710, + 485440317, + 322912340, + 47325852, + 247355627, + 486828455, + 84361535, + 559240310, + 967058751, + 673618465, + 679078576, + 415418839, + 966536252, + 53992511, + 697958506, + 198880723, + 899704260, + 357616346, + 626958112, + 990420973, + 876701418, + 461981116, + 571630774, + 973765404, + 299842216, + 104127362, + 730475716, + 273642205, + 817068488, + 899314826, + 594981751, + 485684898, + 417695333, + 910543612, + 747881162, + 470167621, + 392260127, + 747283493, + 403320921, + 134481423, + 969928513, + 899264987, + 94038928, + 417442012, + 408031966, + 465112251, + 160386835, + 831376807, + 293276751, + 988700242, + 466725027, + 873489729, + 579072801, + 149946516, + 163724037, + 456322672, + 329780659, + 474589450, + 574239082, + 451558337, + 439666456, + 449107179, + 391268438, + 15378107, + 59142136, + 624500440, + 88912597, + 57590, + 2340880, + 830039812, + 213489929, + 883776600, + 990317341, + 657585505, + 130820688, + 42389883, + 984618569, + 739889356, + 444884441, + 180741677, + 272794426, + 870903008, + 141024456, + 403927404, + 889440593, + 657504583, + 315968923, + 480626847, + 244230629, + 723253906, + 67824344, + 903492054, + 412952539, + 976734405, + 851039826, + 294468295, + 524175470, + 874228948, + 570856082, + 5821163, + 532220796, + 334279357, + 418823228, + 638453078, + 818115823, + 843558384, + 509738033, + 276231089, + 873240306, + 476754165, + 717542958, + 29039022, + 804651164, + 189919496, + 399697451, + 449195615, + 707243334, + 297108551, + 464799847, + 584793814, + 189382022, + 282144925, + 375447073, + 913848802, + 276292013, + 365907168, + 59249348, + 709490243, + 319464495, + 568655550, + 866950408, + 394762430, + 384605490, + 440322028, + 310100292, + 129256031, + 681280869, + 374519038, + 176416773, + 394252460, + 104418032, + 183110314, + 705457547, + 46279071, + 403432343, + 945172208, + 153183017, + 471076577, + 113468032, + 998384383, + 199300068, + 346138841, + 501744520, + 579170544, + 183170513, + 741636466, + 570974030, + 646846037, + 965563672, + 390475218, + 603332696, + 959642349, + 388640972, + 673501404, + 252424987, + 774886317, + 436508230, + 547198581, + 630663558, + 539390002, + 276548662, + 764678873, + 330297075, + 810869722, + 667036876, + 196016345, + 673604701, + 289892817, + 822443132, + 462926107, + 563690342, + 924927781, + 858917043, + 315705387, + 297277044, + 140826617, + 958633323, + 873065496, + 479163047, + 309372141, + 174329270, + 179556506, + 231837172, + 818251832, + 489211123, + 164483826, + 957362079, + 209021248, + 824885370, + 309830268, + 930574471, + 774930879, + 816051074, + 619730884, + 756895414, + 429154887, + 168819168, + 930154263, + 329288330, + 451634211, + 670730925, + 244266726, + 39960795, + 93410513, + 270744714, + 116418141, + 911836100, + 318968261, + 773421685, + 885685703, + 822754732, + 942088470, + 15316835, + 641847187, + 947355448, + 583831963, + 917387773, + 199224403, + 708010195, + 269890790, + 257980063, + 489849725, + 781834370, + 959402111, + 64261592, + 539156716, + 329591700, + 765948862, + 454387921, + 49790256, + 929793378, + 821378100, + 275429269, + 260458794, + 415215944, + 518300587, + 812501519, + 983886064, + 415519639, + 618553012, + 985300973, + 433575857, + 846449539, + 504279677, + 71999581, + 79497984, + 520384089, + 810983637, + 661982946, + 788828540, + 922632176, + 955510998, + 202530703, + 842129136, + 95439172, + 553355634, + 678548001, + 353074885, + 606288037, + 154522689, + 960733149, + 617499942, + 220251619, + 978914035, + 452971147, + 609829831, + 460420845, + 440256941, + 153268048, + 995006238, + 147067928, + 296685253, + 20740237, + 819522869, + 896118665, + 499135106, + 580422680, + 124250240, + 882392918, + 819093948, + 639835435, + 967130626, + 809686511, + 278510763, + 307959549, + 404042970, + 926480407, + 115070218, + 965952901, + 167261692, + 631299240, + 316834325, + 754861831, + 390785645, + 650450786, + 817132080, + 839056643, + 508793754, + 630449502, + 648130500, + 985481079, + 510872585, + 429283011, + 559644204, + 59325590, + 961959683, + 927882081, + 167630174, + 513882143, + 405903801, + 179986241, + 67578135, + 520523988, + 854815020, + 868238308, + 273380198, + 456034186, + 132824281, + 321421291, + 926821681, + 315892962, + 471235178, + 130910484, + 512058539, + 706739395, + 303322589, + 572964301, + 346429827, + 31972094, + 227825472, + 747130221, + 944334549, + 213920275, + 119195210, + 401493048, + 976893884, + 354325145, + 528111544, + 113457236, + 344380490, + 586885117, + 620426662, + 825752344, + 621733659, + 465147091, + 682127714, + 996073062, + 992509729, + 700111099, + 329837670, + 665409931, + 261877882, + 103229924, + 157525505, + 321142571, + 1743443, + 533346538, + 58554077, + 841224345, + 942660261, + 669434041, + 154228126, + 719920908, + 117811143, + 160842164, + 770717782, + 193741542, + 298331200, + 5579052, + 712675451, + 498066554, + 238732947, + 57659856, + 793517913, + 440983281, + 576751893, + 88785877, + 361876236, + 960919284, + 990460245, + 570087442, + 478313038, + 690935170, + 257858751, + 730031327, + 789298602, + 939264204, + 491415498, + 732031332, + 210132738, + 943206713, + 815422970, + 363716170, + 804017683, + 276182729, + 351670559, + 36852020, + 137040869, + 780781135, + 66942945, + 623255666, + 444400708, + 624336273, + 645483063, + 268396691, + 733790611, + 332296076, + 698721063, + 519437232, + 5578138, + 923786280, + 988683897, + 528623377, + 392667737, + 480580819, + 561051567, + 591522730, + 594350572, + 683609751, + 858585056, + 309802206, + 972675842, + 804401192, + 912702297, + 92323968, + 735921798, + 287314381, + 413991125, + 271148010, + 214065982, + 295801342, + 907634509, + 161677694, + 469629957, + 988573788, + 251733456, + 515938883, + 46158897, + 613013026, + 19991775, + 471480999, + 959516357, + 12111, + 225772357, + 851809410, + 97348052, + 372358337, + 638481331, + 574812523, + 528603435, + 674848173, + 550366392, + 549002209, + 713998133, + 860248604, + 53068171, + 367279525, + 36243698, + 370353233, + 251879896, + 313053532, + 116759955, + 336555716, + 451806096, + 92976171, + 814334672, + 459194315, + 418480317, + 2131079, + 538208400, + 148045934, + 165419803, + 478321886, + 157715472, + 475938005, + 734396643, + 383099243, + 803794476, + 127039413, + 244968686, + 287375482, + 372431733, + 350638209, + 223404498, + 454382832, + 225923070, + 545458048, + 259007639, + 581097461, + 920681557, + 839089373, + 637715700, + 56887642, + 151919898, + 160297258, + 140717005, + 624736957, + 107991796, + 526462803, + 90298517, + 503585128, + 690091124, + 754231770, + 523231832, + 206649172, + 564941056, + 506277661, + 768850522, + 185978425, + 291758351, + 664210693, + 866287836, + 577045096, + 359074327, + 834468489, + 654184910, + 254021444, + 368287059, + 536585521, + 79392151, + 560980748, + 591127714, + 747232714, + 899506883, + 295810572, + 136476996, + 710190841, + 759314643, + 506371530, + 105674655, + 89895451, + 88596497, + 605963921, + 141763295, + 777127387, + 347771362, + 604495391, + 17465870, + 509723834, + 5693519, + 478914628, + 443486006, + 184035843, + 371645964, + 938734477, + 892828644, + 55083847, + 340526933, + 260141635, + 869052712, + 544560343, + 794270526, + 505045524, + 349638085, + 742551321, + 777940600, + 309261621, + 143974323, + 14373902, + 903453412, + 277738457, + 320310127, + 756238714, + 92238385, + 239595309, + 688389827, + 910692012, + 437548203, + 91223882, + 602676471, + 68896122, + 935451613, + 605097871, + 709906823, + 8321578, + 974107231, + 23652705, + 716558614, + 410268443, + 461311885, + 562384223, + 800629240, + 492177551, + 602798632, + 187588399, + 834334345, + 256200822, + 917948006, + 992183959, + 527989425, + 886907299, + 966342503, + 294987702, + 240581881, + 443949525, + 467191684, + 608294252, + 768283158, + 831068397, + 685613679, + 933531715, + 720271755, + 553897054, + 284835506, + 785178967, + 289254792, + 678025564, + 632334391, + 611788889, + 255248179, + 455737774, + 619829544, + 920853809, + 397226154, + 935781592, + 500897629, + 499761898, + 184712953, + 772820539, + 507777632, + 272886358, + 852826592, + 347229688, + 527092521, + 537101187, + 409475529, + 77106305, + 855371923, + 803888788, + 841044884, + 970533417, + 586044321, + 60412976, + 688624205, + 440254046, + 36432561, + 212192315, + 940279027, + 980885613, + 630545483, + 243159977, + 203296086, + 450301836, + 788716721, + 202307591, + 144920305, + 928926012, + 174437871, + 843063202, + 771880424, + 659551233, + 392639384, + 446261477, + 20493139, + 610999415, + 603521091, + 957367991, + 323107397, + 286689544, + 106277618, + 900029434, + 775305681, + 201593255, + 860773326, + 987600182, + 925787219, + 240420351, + 751609327, + 184324660, + 542874372, + 2107969, + 916967980, + 997958522, + 789983692, + 393446902, + 904608295, + 213211698, + 173356742, + 253391332, + 352280739, + 426436037, + 53540533, + 442547789, + 525703474, + 756125819, + 63194928, + 698391269, + 108559310, + 435652345, + 355001426, + 41273816, + 791101485, + 838694713, + 712825376, + 465718444, + 360808499, + 397671621, + 654762415, + 788066955, + 658928058, + 346736486, + 2779510, + 254767325, + 803382844, + 831000873, + 57266968, + 646661502, + 592554263, + 990947115, + 642653270, + 861382669, + 216559223, + 171671015, + 385957835, + 930412047, + 560391417, + 615409768, + 991659808, + 447841529, + 896091106, + 935477310, + 730129776, + 798194374, + 162804566, + 143395916, + 64296990, + 830544464, + 407197530, + 231886328, + 937275299, + 131934288, + 484787003, + 140151847, + 166614690, + 848671508, + 492655558, + 789288758, + 627650265, + 746819352, + 355256944, + 930536531, + 745097520, + 767435875, + 364373877, + 492538616, + 809805408, + 45183561, + 549169700, + 269466721, + 986947203, + 489970123, + 197356464, + 499051016, + 24674670, + 860055084, + 457118438, + 170347301, + 775013168, + 14978819, + 635327186, + 633191418, + 514415140, + 858457149, + 192913692, + 221618459, + 197021616, + 348116174, + 712468926, + 532760326, + 729504768, + 470712881, + 645775366, + 443508461, + 37749468, + 240602966, + 286736908, + 313051775, + 165655704, + 896265919, + 541013708, + 740026149, + 671740069, + 92033089, + 51157398, + 278508852, + 911370483, + 986017875, + 812473377, + 533151638, + 558717881, + 256547534, + 889324730, + 888860110, + 823691387, + 209782655, + 795425077, + 15201544, + 234403079, + 928612033, + 150462803, + 949788183, + 213020807, + 251043106, + 812056186, + 408225739, + 199228907, + 814285001, + 165572729, + 423825323, + 795118983, + 60775129, + 144536382, + 496201265, + 785460398, + 159429688, + 253236979, + 810771709, + 692859021, + 620169388, + 136780808, + 992975721, + 357401124, + 135523945, + 161523422, + 943363557, + 164411852, + 609858429, + 322590766, + 322572606, + 575557640, + 758153868, + 950650399, + 778946887, + 519024304, + 804098556, + 105308645, + 66326842, + 865634145, + 276478087, + 332178038, + 839043654, + 776815127, + 531803683, + 30197552, + 4733341, + 206084039, + 84349421, + 671419341, + 627632440, + 40596399, + 205402973, + 64220425, + 605460451, + 773111367, + 665062111, + 803313606, + 675761434, + 462476666, + 668677128, + 838817280, + 310064952, + 692322475, + 832823055, + 524446833, + 829964803, + 439665594, + 253335656, + 91258666, + 637443303, + 838241953, + 581252926, + 312230397, + 342685364, + 599886241, + 818299269, + 958476892, + 839092154, + 967377194, + 54481904, + 59749337, + 259102742, + 202374100, + 291749931, + 493971424, + 421998158, + 542946128, + 894317831, + 627886609, + 976457997, + 561978598, + 126358261, + 977602371, + 773512722, + 113935890, + 584931163, + 603598373, + 874831102, + 433222750, + 565724217, + 805526294, + 798654991, + 546067626, + 50198304, + 294890454, + 99739515, + 23864734, + 496641198, + 805630955, + 634110784, + 542440456, + 101633115, + 215339812, + 930870018, + 151579248, + 756148646, + 473072316, + 930999322, + 660107471, + 140048095, + 173013841, + 976270308, + 573676436, + 727042818, + 502377578, + 680396608, + 290918301, + 715683520, + 777117845, + 680044050, + 382672006, + 934731983, + 787692165, + 514305736, + 590666812, + 811938833, + 673814370, + 212531288, + 855947946, + 400892863, + 860982269, + 560539452, + 610558083, + 689706994, + 11065968, + 34850853, + 189524688, + 608466157, + 705005313, + 846985145, + 21085611, + 167857162, + 401535941, + 169656148, + 932474146, + 247339048, + 282978868, + 888953932, + 997117021, + 435573028, + 722729797, + 138340050, + 45101487, + 305876689, + 530544258, + 901030171, + 155760493, + 140813652, + 105610367, + 441283158, + 631309110, + 100762530, + 83922353, + 519516970, + 666137615, + 663935246, + 814974216, + 89493439, + 880894528, + 703716872, + 899271297, + 166055648, + 427353845, + 182967947, + 933418977, + 384028543, + 899907006, + 929161346, + 301784906, + 156398670, + 922564900, + 693022448, + 331928188, + 538764568, + 184561541, + 125676952, + 371646546, + 291848249, + 600512202, + 626232135, + 691494899, + 819640652, + 76609009, + 639541196, + 315638309, + 242411879, + 297262863, + 165369718, + 946861913, + 448305936, + 844971381, + 863290159, + 691059603, + 523892430, + 879593614, + 635390790, + 761196792, + 189399583, + 804448137, + 884004874, + 781272706, + 734518978, + 697195676, + 287363955, + 786258053, + 891378710, + 104561761, + 840960650, + 629962440, + 915382511, + 571421284, + 298263132, + 132930682, + 843677520, + 881117954, + 736290223, + 862516117, + 710804977, + 392314680, + 906929975, + 539068678, + 174499499, + 266073516, + 181317361, + 365255597, + 560037828, + 409207301, + 477606739, + 993796749, + 241611882, + 856364640, + 735199239, + 745448574, + 184870696, + 983137623, + 98172885, + 361261195, + 961632263, + 828261049, + 866948636, + 744670093, + 279800186, + 546742524, + 884576854, + 877934671, + 441343549, + 927120446, + 256470090, + 51630490, + 538010666, + 550799515, + 534733562, + 442359443, + 33046028, + 706948022, + 160351982, + 235110166, + 507006328, + 857823330, + 909637018, + 688584158, + 156506694, + 720108500, + 2905273, + 821709794, + 802591565, + 412109676, + 618512619, + 221268775, + 861656990, + 487850392, + 600476115, + 394798851, + 57829760, + 220126539, + 841403840, + 751733045, + 518761692, + 255705758, + 959187512, + 518555005, + 500739274, + 621912591, + 576481533, + 882931145, + 121981446, + 184691600, + 314801935, + 56239966, + 278843237, + 686721031, + 596754421, + 392276229, + 659442104, + 342488874, + 751629021, + 912809296, + 362853029, + 765139193, + 29093597, + 694445085, + 45292008, + 741541926, + 923335886, + 470128010, + 920324460, + 833652387, + 355929619, + 513549651, + 454639317, + 105897314, + 307625082, + 607778694, + 403398953, + 278140806, + 91477460, + 92940549, + 385760883, + 991995248, + 673195982, + 302151275, + 281942777, + 325512511, + 175461141, + 798047189, + 360012603, + 418516211, + 827046756, + 202043946, + 884742615, + 442268665, + 722841600, + 806825177, + 451001580, + 88852632, + 997132917, + 429814447, + 521546930, + 107093219, + 695654874, + 916167262, + 943333559, + 454839021, + 6389231, + 533042776, + 890420340, + 136518384, + 223863073, + 58481928, + 813749198, + 572714968, + 852432903, + 598435021, + 800723803, + 483873769, + 531096436, + 926324258, + 285885525, + 424399341, + 99874681, + 322043683, + 703254314, + 800226998, + 197364278, + 980638105, + 308796195, + 871476504, + 284680599, + 162499377, + 109118677, + 345823379, + 184353920, + 38657888, + 960419656, + 734667033, + 155477357, + 394077271, + 236519199, + 191710181, + 504133000, + 604757055, + 275052993, + 188303908, + 79219365, + 716579612, + 902195544, + 127857085, + 717361919, + 857431657, + 793250847, + 445515618, + 83823565, + 170954940, + 60856912, + 633483727, + 829942123, + 620544538, + 965720544, + 459481009, + 428601061, + 897424519, + 382330885, + 715790086, + 23145506, + 547911734, + 111408861, + 262036290, + 663785936, + 58886610, + 975642913, + 853974938, + 585106612, + 787812198, + 224964435, + 633164705, + 510665298, + 542577494, + 681562487, + 426310018, + 230668096, + 359911234, + 912593284, + 371598482, + 709019792, + 710630445, + 695762257, + 322052536, + 791747461, + 904864119, + 606421313, + 969191161, + 504092236, + 603055605, + 165504188, + 936565503, + 418483584, + 276025732, + 409801302, + 323511606, + 508012180, + 384873201, + 214413291, + 905446837, + 499987674, + 185347954, + 550556085, + 953996339, + 495259823, + 805265214, + 787505333, + 411989403, + 710915668, + 683889040, + 772431338, + 59121259, + 107304994, + 776090448, + 201635028, + 783952968, + 750389114, + 107498129, + 101490356, + 221011666, + 262831289, + 564997379, + 579225251, + 719146020, + 242960704, + 693703497, + 547512679, + 431435745, + 393720258, + 634429038, + 221213062, + 722791940, + 684503525, + 309996299, + 572794510, + 795689484, + 39292580, + 77954271, + 439495135, + 287996790, + 430422067, + 598188778, + 483931014, + 960567333, + 24807147, + 560626188, + 471944087, + 534052865, + 350315260, + 961905863, + 284431129, + 390315874, + 30834808, + 587307193, + 158852650, + 568970797, + 251657107, + 298557619, + 311064204, + 675732302, + 904735663, + 271436425, + 872951302, + 136218271, + 22297482, + 452724522, + 91627036, + 149020233, + 459412537, + 131007150, + 352914759, + 611713639, + 681902323, + 961290185, + 464160783, + 838090961, + 62746879, + 751129301, + 865788812, + 211285349, + 403723623, + 598943083, + 552657833, + 263730609, + 556429072, + 397025352, + 676852120, + 517492550, + 82575906, + 384977981, + 696654919, + 218817398, + 580505358, + 812138866, + 348241788, + 841773185, + 99132567, + 506745272, + 86957992, + 425357199, + 900541830, + 406492737, + 459354069, + 849519310, + 656058151, + 900646995, + 494234216, + 538486840, + 997748649, + 268469623, + 983002776, + 350341267, + 839125001, + 89411448, + 729149366, + 366815759, + 78552347, + 62455975, + 922162137, + 253841883, + 615886150, + 243006011, + 559644279, + 442882766, + 276302744, + 90880780, + 257532147, + 357322419, + 776104634, + 978632357, + 728524339, + 532817734, + 807928501, + 468080200, + 442262852, + 362507575, + 610040090, + 344684470, + 278300201, + 170005533, + 565100686, + 706546763, + 560926000, + 882779424, + 817519543, + 417311799, + 569154893, + 343393094, + 939548781, + 380310475, + 878640521, + 146336975, + 477938234, + 605705346, + 28859660, + 212352118, + 855630884, + 716040422, + 732579072, + 998314636, + 848697746, + 479344444, + 838622719, + 891754795, + 740572601, + 348655665, + 498757165, + 341505748, + 224267940, + 356479947, + 623798082, + 865480073, + 212178921, + 175503891, + 789042513, + 381537538, + 363067679, + 716949794, + 68005454, + 194862590, + 461449233, + 664778179, + 449453637, + 56476486, + 85808649, + 815776673, + 247062801, + 528829087, + 848436456, + 67384527, + 611583161, + 624724926, + 277545490, + 953039539, + 492506686, + 494492145, + 8860328, + 290502236, + 435238358, + 534685687, + 945850741, + 371318539, + 937878947, + 950272166, + 10609133, + 777636288, + 79729177, + 122837595, + 899798452, + 332423954, + 126384097, + 597920660, + 574506916, + 335509470, + 555002315, + 114318138, + 983244624, + 247722753, + 466409213, + 223319027, + 867881428, + 670256192, + 85421518, + 227014684, + 25685829, + 377193211, + 852205601, + 964004090, + 113382815, + 974754018, + 723017683, + 60062848, + 119102364, + 145331372, + 59447064, + 964351485, + 999277401, + 52540125, + 91880450, + 759767624, + 220506016, + 815045299, + 444998604, + 710907196, + 393033423, + 555093270, + 152216668, + 714807924, + 826179451, + 319226063, + 368728976, + 622377682, + 556607721, + 676820315, + 531176188, + 720077552, + 416457459, + 279803298, + 84548877, + 985898378, + 497163114, + 431885598, + 410048981, + 826661877, + 671235678, + 452211005, + 356557567, + 398256876, + 452358517, + 529454370, + 376259113, + 876513783, + 399406680, + 947028339, + 560585614, + 231675864, + 787996051, + 814859008, + 112770908, + 978115001, + 692864949, + 701312069, + 337815152, + 18000932, + 798558286, + 392578603, + 906499101, + 217852164, + 909301913, + 726200507, + 907707161, + 868281328, + 842596474, + 222409242, + 343394322, + 900346546, + 313594322, + 386667313, + 830978190, + 287409938, + 3098673, + 548312055, + 886586086, + 710457184, + 518829989, + 340902933, + 99571812, + 353475286, + 756230038, + 143407665, + 842188681, + 472722426, + 735167436, + 105900646, + 225473947, + 184836273, + 231567463, + 143549106, + 528843879, + 220779456, + 561082079, + 14486797, + 195496757, + 787955775, + 349857789, + 497769649, + 221109097, + 153033889, + 765900640, + 800795899, + 720334380, + 593086441, + 299123651, + 264264733, + 30028798, + 25932878, + 56542218, + 327188354, + 988533890, + 268347021, + 353301456, + 140687090, + 70802945, + 600895709, + 612660996, + 934373948, + 563192265, + 973135364, + 903836959, + 841752471, + 424411686, + 514152049, + 555560763, + 923200844, + 717654440, + 889239643, + 597268391, + 941570369, + 884908498, + 493516525, + 651696155, + 931881847, + 88825327, + 924534843, + 954712480, + 782383869, + 776418079, + 635970376, + 416424385, + 456801944, + 171332983, + 335852171, + 1974843, + 57207539, + 597540013, + 987043640, + 104358915, + 879646156, + 936324813, + 369884474, + 503370247, + 492664431, + 902801686, + 638582850, + 964463518, + 669538521, + 254102655, + 61675092, + 713236791, + 287406961, + 437380131, + 741675477, + 803834099, + 594069915, + 379914801, + 493642810, + 948365835, + 512801290, + 613024695, + 637654124, + 746263584, + 21636373, + 750548999, + 677258087, + 95160309, + 47937107, + 948732884, + 810907561, + 652293929, + 115181490, + 278104058, + 622035764, + 952340815, + 725223263, + 158180700, + 143047073, + 619492773, + 892435783, + 134454712, + 508681246, + 297283344, + 950567342, + 773216843, + 62198193, + 285510042, + 665302949, + 187377084, + 77586670, + 946276215, + 489964974, + 765306453, + 282153951, + 81831097, + 128753776, + 890498538, + 239092567, + 348340235, + 392159239, + 190690351, + 896030777, + 352961817, + 705451192, + 251551241, + 822998241, + 218140885, + 993322242, + 802944428, + 409236111, + 531913867, + 332217458, + 654545309, + 192376351, + 204238431, + 247389792, + 400564233, + 195573138, + 506741256, + 184503187, + 671541156, + 259947397, + 469221529, + 744537640, + 864210356, + 681697799, + 375079249, + 890032230, + 843750071, + 287024743, + 621361961, + 325920039, + 820435832, + 658424432, + 696027407, + 477242973, + 527491520, + 355773000, + 882092445, + 190076220, + 30195682, + 583167954, + 424690510, + 451732221, + 130512938, + 449791071, + 796273129, + 875934888, + 198865960, + 591716659, + 517918480, + 294201687, + 949821777, + 520926274, + 47110037, + 892145568, + 434634513, + 95331204, + 591542299, + 9528892, + 322213439, + 37233537, + 724517351, + 577600805, + 641241332, + 298249715, + 920599699, + 397525373, + 741315328, + 438305861, + 348181438, + 167847360, + 821388347, + 808403715, + 236902433, + 301024448, + 707896863, + 95685570, + 859319259, + 795929248, + 502091326, + 31925446, + 587062673, + 678744209, + 431220823, + 800390380, + 68782010, + 171623313, + 753876846, + 218540126, + 9086118, + 173725297, + 88735181, + 531225302, + 87977229, + 85125724, + 242017975, + 547722436, + 989145460, + 176154815, + 891998570, + 684628122, + 402554555, + 575925888, + 972333455, + 889711947, + 449297481, + 798409841, + 749103825, + 439594240, + 729056591, + 489426544, + 352390670, + 537625628, + 715378614, + 577932414, + 830642439, + 304145900, + 338039319, + 338771478, + 254610620, + 602884903, + 756176215, + 358548426, + 906538330, + 925944434, + 371021446, + 259535810, + 759191334, + 669194756, + 561203862, + 692018279, + 654322158, + 217601691, + 676892159, + 157454889, + 875414255, + 887135634, + 520957846, + 288500295, + 731568314, + 802351122, + 20533988, + 825447292, + 670111270, + 139472969, + 976846130, + 307111806, + 143694009, + 996397715, + 681262136, + 867271616, + 369536480, + 509725225, + 387320638, + 897135434, + 882831777, + 119653512, + 949658995, + 586433554, + 843766815, + 456848318, + 250124905, + 583295748, + 920479916, + 371789412, + 545943408, + 401317241, + 408923376, + 596313025, + 475237872, + 71314579, + 972760027, + 678038903, + 974523166, + 369335229, + 22622088, + 982525373, + 893607550, + 517561485, + 359806128, + 274617587, + 826160213, + 368101759, + 927956351, + 712200781, + 512059093, + 109490437, + 654420860, + 404973788, + 776877332, + 28508143, + 957692374, + 63542965, + 208534222, + 196813776, + 554917760, + 101631102, + 278606039, + 161090202, + 558420375, + 744877441, + 822278838, + 342179515, + 289070978, + 147303154, + 689214364, + 717783717, + 787148685, + 418946061, + 948006239, + 107439739, + 915478828, + 665988350, + 917375491, + 980085347, + 710719311, + 670244414, + 959034140, + 651516882, + 524873546, + 398721413, + 232014060, + 985418833, + 614939714, + 686971707, + 952706599, + 839597714, + 231971992, + 989245900, + 872303269, + 682678605, + 910729604, + 967110033, + 447174638, + 584545084, + 447057023, + 803654431, + 675155385, + 241590513, + 939576363, + 557370860, + 912305120, + 335940907, + 677201468, + 386526883, + 599113016, + 248184520, + 571993757, + 613233952, + 576341049, + 194098652, + 92071209, + 359679997, + 493274959, + 361099977, + 184174270, + 898090252, + 291500633, + 445857769, + 117237528, + 509040878, + 900783542, + 25535441, + 347317710, + 471658678, + 540347377, + 858579886, + 797711223, + 16426315, + 455132645, + 200288070, + 423889031, + 71045107, + 49766711, + 762632846, + 285773505, + 369459003, + 693911129, + 311764732, + 123372707, + 295844016, + 530721977, + 738050559, + 79855917, + 435544503, + 602936002, + 778556811, + 994327894, + 892404743, + 648336543, + 999443140, + 123377249, + 931418432, + 804920793, + 844051013, + 849639015, + 493614654, + 182005993, + 32013189, + 530737123, + 627060430, + 286754841, + 936157868, + 588560152, + 221591223, + 917172707, + 613742466, + 417256379, + 742830135, + 420055838, + 685672141, + 231519692, + 584682837, + 27050586, + 260642711, + 986202629, + 267228142, + 465239277, + 615239487, + 488194545, + 926520755, + 28524111, + 869962700, + 666981317, + 373440980, + 429591093, + 228822577, + 761097195, + 199223478, + 842176488, + 279773666, + 588854934, + 741614636, + 753200198, + 254639383, + 974911470, + 411043464, + 3989295, + 171369686, + 458735648, + 773608976, + 175763474, + 92988845, + 688866385, + 283213556, + 157243148, + 48727232, + 844406224, + 857675016, + 219866766, + 66783607, + 276573639, + 275552115, + 948573835, + 797588179, + 434412287, + 385559080, + 784254528, + 460491681, + 649498200, + 20790755, + 773830274, + 877796450, + 766622290, + 593626130, + 912140605, + 231801639, + 986829704, + 550132518, + 38824634, + 512449243, + 75845938, + 787473021, + 91483460, + 143376550, + 224931378, + 423280636, + 64474622, + 222918233, + 467536615, + 868315479, + 975006321, + 207048759, + 403218441, + 803968307, + 132106951, + 102750885, + 763629600, + 777055455, + 99597750, + 704398913, + 389687242, + 198780432, + 562146070, + 763913022, + 119583361, + 790735437, + 588679701, + 733666446, + 700369089, + 393513705, + 629375352, + 960764372, + 402346215, + 963992942, + 707953246, + 350438637, + 340276563, + 640779810, + 887784297, + 367312321, + 787857573, + 547244472, + 818786835, + 693617295, + 881894928, + 220067242, + 861029356, + 37251622, + 326849886, + 702522883, + 184533999, + 191080389, + 178189482, + 92785744, + 923091969, + 316136000, + 801913292, + 972131797, + 978697135, + 614945217, + 409368891, + 908282032, + 42602728, + 284024984, + 847132034, + 976363091, + 594320831, + 677263278, + 966621809, + 726841903, + 367325902, + 442536052, + 758417275, + 706326928, + 589160355, + 421479060, + 30113673, + 647417181, + 923031611, + 720301477, + 92646699, + 849283914, + 938903264, + 984680650, + 134452439, + 735638748, + 142341777, + 430634029, + 745601656, + 5770607, + 128395023, + 417738645, + 812401695, + 511802566, + 459298765, + 424001100, + 581529534, + 678217823, + 198681441, + 592534220, + 981914093, + 405069272, + 145506677, + 3632092, + 985965279, + 271872576, + 689035001, + 26711338, + 459796105, + 834249537, + 690475701, + 247329244, + 335270412, + 751586225, + 706056882, + 943796646, + 847265442, + 161386259, + 509461595, + 681721668, + 946924169, + 576821184, + 929667269, + 88990986, + 927747019, + 614490507, + 106856748, + 740918225, + 861018704, + 271139599, + 437209127, + 82555355, + 570963597, + 993928641, + 530906595, + 397749751, + 792848367, + 766568589, + 450629727, + 224767004, + 76083764, + 227429419, + 511768720, + 126920059, + 208724388, + 60174118, + 55371973, + 114436328, + 553400181, + 957066613, + 160861498, + 627381248, + 458689657, + 296831691, + 158622247, + 993476588, + 924395567, + 389101850, + 811714307, + 307972195, + 329010962, + 928842462, + 976929314, + 84340481, + 140126627, + 13244278, + 908147370, + 282001816, + 228606203, + 175010083, + 249010413, + 392603460, + 500346211, + 334943800, + 743742189, + 515419973, + 376739163, + 330777288, + 511316408, + 449759706, + 736020166, + 364379672, + 63190296, + 981967388, + 587330850, + 589165762, + 76614795, + 298341043, + 746495085, + 744579079, + 677565551, + 37186257, + 588996503, + 805938133, + 406097182, + 88340783, + 383747110, + 471339172, + 472073334, + 870671253, + 417151971, + 965653399, + 142538103, + 321045537, + 84179974, + 111235617, + 559536202, + 541771568, + 825908451, + 18634353, + 298382969, + 586842017, + 561030401, + 435683332, + 529124432, + 424372972, + 683325454, + 62747717, + 368411521, + 847908872, + 734677066, + 138625601, + 968111824, + 362604888, + 330156339, + 377021987, + 114831902, + 435293889, + 960313635, + 370879461, + 214691350, + 773599890, + 850434833, + 104105978, + 341710088, + 768074339, + 294885324, + 865172903, + 862208833, + 581243647, + 960447478, + 738865305, + 908357803, + 318367244, + 660279634, + 2993817, + 484258211, + 503943585, + 975184869, + 728853213, + 921202606, + 896064616, + 703932666, + 788173429, + 456077595, + 499694074, + 699301854, + 722427053, + 149269748, + 683315945, + 563775364, + 52061621, + 50953404, + 802104722, + 727425560, + 56878662, + 346385367, + 708346539, + 816856421, + 999259886, + 830184067, + 819841159, + 695577498, + 392227217, + 185624042, + 176920305, + 28405167, + 173066508, + 442482096, + 104810077, + 110892211, + 354910883, + 103948045, + 110481945, + 713721430, + 686914903, + 714892646, + 495112408, + 56579543, + 714674240, + 579662160, + 640615529, + 441490254, + 732420994, + 364893145, + 821301831, + 353570820, + 253567246, + 942568204, + 499065116, + 386937101, + 955608816, + 748327452, + 839543635, + 290590228, + 747469238, + 675252591, + 680934682, + 24601096, + 986454927, + 265085084, + 879065144, + 76186231, + 309187308, + 495285503, + 200495578, + 155015484, + 135465105, + 128262928, + 335079402, + 87479359, + 118565457, + 890119315, + 55510978, + 211128513, + 41615251, + 648025428, + 19633676, + 983429138, + 257954699, + 818660108, + 468555063, + 684911651, + 645868377, + 844930085, + 425903804, + 119663636, + 419808931, + 495072422, + 863563609, + 248439566, + 923980141, + 65153816, + 68309945, + 658123263, + 554701962, + 460990616, + 241777215, + 88191341, + 766974437, + 704880522, + 197577893, + 10291639, + 695761939, + 847943642, + 842573361, + 525906757, + 442633984, + 185359857, + 264754118, + 489248420, + 268367859, + 700400622, + 617109535, + 171439003, + 532485397, + 408781778, + 189954090, + 483292688, + 561606367, + 896439414, + 645275306, + 204247367, + 584736526, + 394925280, + 736406924, + 851092538, + 845453271, + 740663636, + 578545993, + 182035762, + 974533153, + 213812248, + 294663037, + 83485536, + 948897848, + 39607378, + 890689909, + 830270433, + 795691355, + 83103023, + 609131839, + 103124315, + 180923626, + 641505107, + 400009525, + 489808373, + 251154317, + 833322874, + 111577321, + 580796587, + 771889288, + 684477107, + 252556254, + 704655042, + 544990410, + 852776408, + 459111616, + 274543270, + 99149936, + 998020472, + 646957493, + 388954144, + 700918862, + 515965322, + 57765445, + 985412021, + 17852875, + 485819126, + 500038181, + 690122270, + 183315034, + 15638536, + 757160869, + 600578379, + 740603447, + 930148206, + 245243807, + 780464089, + 379204189, + 373490993, + 610478664, + 122985287, + 959493758, + 27116996, + 751203948, + 732345762, + 480723478, + 422239648, + 310270377, + 948200469, + 102698335, + 588865977, + 107658807, + 325101836, + 763648876, + 679976475, + 643664496, + 622974389, + 861448889, + 973546317, + 691315135, + 884059821, + 131859027, + 668774289, + 172535088, + 202508296, + 321053099, + 166919027, + 171552941, + 150221486, + 826147217, + 890779117, + 693036460, + 103452310, + 103080717, + 786869236, + 774378715, + 924117051, + 431160, + 236829489, + 537193790, + 836657883, + 471832082, + 244981839, + 922866236, + 359515422, + 178379727, + 453666351, + 388210150, + 251733914, + 739477389, + 480701591, + 690611422, + 845749432, + 974237208, + 830649539, + 892826033, + 318719211, + 255794087, + 8542743, + 304614138, + 726518994, + 373788931, + 974824405, + 743835976, + 680280834, + 154046180, + 138266699, + 2765959, + 395571037, + 239833282, + 108312102, + 93448015, + 961245990, + 688306215, + 871434609, + 318548234, + 460304278, + 168799542, + 713206254, + 990549476, + 370373683, + 198335810, + 181111418, + 229746112, + 770994459, + 283851034, + 923677787, + 662870722, + 688068159, + 350424386, + 483834274, + 343976709, + 417280890, + 980803329, + 559085965, + 893287737, + 870250221, + 870391406, + 927987867, + 611340522, + 997605464, + 315567728, + 695101057, + 159357043, + 791049654, + 276628156, + 712739920, + 407774645, + 524486978, + 469796296, + 541830952, + 294488421, + 431846353, + 691649513, + 843040161, + 700978250, + 432213907, + 124091995, + 363754447, + 833271800, + 979460710, + 43312655, + 360034718, + 443626213, + 576738632, + 181105035, + 188668998, + 335419443, + 301035680, + 266354637, + 281649518, + 884141275, + 163397097, + 467237254, + 916886000, + 534173730, + 238946663, + 568308448, + 639110220, + 621127034, + 313199134, + 759242429, + 850235777, + 421964863, + 951921684, + 887699516, + 358173638, + 53026916, + 813430739, + 665366197, + 781590862, + 724768560, + 870080364, + 592362969, + 518929296, + 257704366, + 895545943, + 245317372, + 25917255, + 634365770, + 128739159, + 491453742, + 769440334, + 641188742, + 473521782, + 845336148, + 728636767, + 431279475, + 246753639, + 797687979, + 127652757, + 566224930, + 519573444, + 646300306, + 374690240, + 545902332, + 792688589, + 322914405, + 759415631, + 311057936, + 763854175, + 164011704, + 778552779, + 105359898, + 977059881, + 807804455, + 436064259, + 163963140, + 216171844, + 892779331, + 539869707, + 777510542, + 725215569, + 312581809, + 528525533, + 446104950, + 235190480, + 776285262, + 996274378, + 906075685, + 986986711, + 571411616, + 623502187, + 283646376, + 996236571, + 834206081, + 413465777, + 241956671, + 670839837, + 304725782, + 592519188, + 55315318, + 24530518, + 926930864, + 7817094, + 284053758, + 865309298, + 877687861, + 417767746, + 981930508, + 204271123, + 804750146, + 481199057, + 775516580, + 948047092, + 952497411, + 463351483, + 38498878, + 903688633, + 116378456, + 799491525, + 330082150, + 716563263, + 311406019, + 868889238, + 3814948, + 144103887, + 977154497, + 71859078, + 962328933, + 442543027, + 656967095, + 115139059, + 400197973, + 97861210, + 869684411, + 532229739, + 837291831, + 537772329, + 445847543, + 64725927, + 893703203, + 942515151, + 438958014, + 992117674, + 667215270, + 114410249, + 895581920, + 608084901, + 865493082, + 387249720, + 788522708, + 462149785, + 609615992, + 334580020, + 492319262, + 287657206, + 578619285, + 381041586, + 409270561, + 775107983, + 246359774, + 137425118, + 987338996, + 865768196, + 940230590, + 684433830, + 344834828, + 689095835, + 319150084, + 246431488, + 38273747, + 696390047, + 453718561, + 59773631, + 670743134, + 225257774, + 455122638, + 437853356, + 387947963, + 8017627, + 844160252, + 484013424, + 807289888, + 215654807, + 331626673, + 81520405, + 919840531, + 564787131, + 627597459, + 925943440, + 84989038, + 73405511, + 657027342, + 690496305, + 956537332, + 548681002, + 57563937, + 684642341, + 268638738, + 78175307, + 427854870, + 837830957, + 887530319, + 10681834, + 368859999, + 173033785, + 478681249, + 620866211, + 605657654, + 576092168, + 884281300, + 50931232, + 93496263, + 534703950, + 796995342, + 329394314, + 162168479, + 533515516, + 461761060, + 821440211, + 786750125, + 47699711, + 740033985, + 266906687, + 264892306, + 935244076, + 398908407, + 277363227, + 673778389, + 919133696, + 317649311, + 905245075, + 88137821, + 457967537, + 666232772, + 329478978, + 160989661, + 127137708, + 3451334, + 934956479, + 1590074, + 531898485, + 986550273, + 704542401, + 611580482, + 152832392, + 106119052, + 367600326, + 617872796, + 956568320, + 503750870, + 783056630, + 633626459, + 280591451, + 506169979, + 645362998, + 75076032, + 602949416, + 26578011, + 45873942, + 15784880, + 489516989, + 990472392, + 826100325, + 241492975, + 699128284, + 82705347, + 220086251, + 43471696, + 567070432, + 42814933, + 492460693, + 725200706, + 825416646, + 888472237, + 539118715, + 315970344, + 825268857, + 762712770, + 975642946, + 367419772, + 270700330, + 246174809, + 5571193, + 457276187, + 173712989, + 624695810, + 572948814, + 859982821, + 251291314, + 597394351, + 264014738, + 679132832, + 165787755, + 859177005, + 326689375, + 10542783, + 974535283, + 888557381, + 957367625, + 671459857, + 792726345, + 409985431, + 31535924, + 4353523, + 487995171, + 407528357, + 738561336, + 844473757, + 293959920, + 596362642, + 564206453, + 994931890, + 448662958, + 495160983, + 747174370, + 335724957, + 393881317, + 591647815, + 399382707, + 330189207, + 256686347, + 239380416, + 13970503, + 83086391, + 770517577, + 735157685, + 28602417, + 820242159, + 964991393, + 394542477, + 62404280, + 736263531, + 124502058, + 654433456, + 827511368, + 340549921, + 591000029, + 996249458, + 647651148, + 361597668, + 645220133, + 873372929, + 165207457, + 60014328, + 308788027, + 80119268, + 343630727, + 451879617, + 949704403, + 343818468, + 557780468, + 105147136, + 629419695, + 241380493, + 417187963, + 679236208, + 381717709, + 357960194, + 189811448, + 966606384, + 47091449, + 453465896, + 278075572, + 712874926, + 946381891, + 804470503, + 418528314, + 406702360, + 710928730, + 327556200, + 731313558, + 996011998, + 805833426, + 394134232, + 330103921, + 956532385, + 272248857, + 302620491, + 543166879, + 726903398, + 472655624, + 285125000, + 738113274, + 272060784, + 784299198, + 888077186, + 495399490, + 710657203, + 228851086, + 660355682, + 937717705, + 928431946, + 722377014, + 9408660, + 129158217, + 299965190, + 627720096, + 908664091, + 746337305, + 639884827, + 212645327, + 560098950, + 895984255, + 381617133, + 593890621, + 686172115, + 77064307, + 741991395, + 327351945, + 488157588, + 165494398, + 273895902, + 618771917, + 362369752, + 536502578, + 451194580, + 264082498, + 860328751, + 896556487, + 729604272, + 690703756, + 957623012, + 939957364, + 209925585, + 936465014, + 322622472, + 419477545, + 173083264, + 999727234, + 872261183, + 138737982, + 40459851, + 888084253, + 404932251, + 500902887, + 583717975, + 701620137, + 529669042, + 722646297, + 419175991, + 525016685, + 298114673, + 78585840, + 311215578, + 252718349, + 362503213, + 901385805, + 92871938, + 81617874, + 810437219, + 361012710, + 184064772, + 142508982, + 937435203, + 396742132, + 692448455, + 112845425, + 470048273, + 678578137, + 176852820, + 856568468, + 739854978, + 985879123, + 930516678, + 349569253, + 992991393, + 407318683, + 857011551, + 275682730, + 580294377, + 265599994, + 136097010, + 732709729, + 447961274, + 554984269, + 204300311, + 827813633, + 157201662, + 687803737, + 185862104, + 612030138, + 945332087, + 971160130, + 66347099, + 46177788, + 210261251, + 821159117, + 507735523, + 200087181, + 228950604, + 286589671, + 428017589, + 902297697, + 77552342, + 950835447, + 766032703, + 369925651, + 835272069, + 66779310, + 345013199, + 922675246, + 274881724, + 623185826, + 441200027, + 186943173, + 300136411, + 660989502, + 551181188, + 554477684, + 659419644, + 383891171, + 401453909, + 127959006, + 657360438, + 901066413, + 806286109, + 890578811, + 149882952, + 539207385, + 908269480, + 963705621, + 437102244, + 128811072, + 620752763, + 249012911, + 23043335, + 277087199, + 307904911, + 639723461, + 566740738, + 828524330, + 828372065, + 113222217, + 813892922, + 350456740, + 619530546, + 171859377, + 42411313, + 375205672, + 4110306, + 617678890, + 875829920, + 196719446, + 84971941, + 960129029, + 354330557, + 238901325, + 944168954, + 239246187, + 853515971, + 307462677, + 803582328, + 375385313, + 411495089, + 340149193, + 363489558, + 574656572, + 417422585, + 17688397, + 169311267, + 572012175, + 815803568, + 166640811, + 406268282, + 316509117, + 743939456, + 926261890, + 354292053, + 972550670, + 75688254, + 235654347, + 131076596, + 1722057, + 923808899, + 58324126, + 810239443, + 448219447, + 487470492, + 134225100, + 32328803, + 980763108, + 16747641, + 542710575, + 741646145, + 345807176, + 861869411, + 668650866, + 862649021, + 321296771, + 741645345, + 346436867, + 33749007, + 781473203, + 158576983, + 271579904, + 807461796, + 310357159, + 766465443, + 84867087, + 186246773, + 808268159, + 954066206, + 576566800, + 960766384, + 171476242, + 4160503, + 605583973, + 885830574, + 379165410, + 322121190, + 411765585, + 476131255, + 87471509, + 670550077, + 801423630, + 819885013, + 578286536, + 254690419, + 140702226, + 47258773, + 272369144, + 348573101, + 509072355, + 901219116, + 42470959, + 609775270, + 592576420, + 437239044, + 787005799, + 703075064, + 960426684, + 130226823, + 525126157, + 352416950, + 867374293, + 293230178, + 970163957, + 407354881, + 695284689, + 92520986, + 952477771, + 940273135, + 786111107, + 841162800, + 115852810, + 334649406, + 975679710, + 468090655, + 928036684, + 275692423, + 693899778, + 140369408, + 381244432, + 920501795, + 831270957, + 914891729, + 290651276, + 996230516, + 581646389, + 409263522, + 818892081, + 605315078, + 436330910, + 889114906, + 514849994, + 855419611, + 686219237, + 838020354, + 213922789, + 929679750, + 334236539, + 422848030, + 57405189, + 11958360, + 105627569, + 703804363, + 432210059, + 731677422, + 950454270, + 381019873, + 400450902, + 319777813, + 331368306, + 664494948, + 740315392, + 788958345, + 94547932, + 642884032, + 703834332, + 927304115, + 499244924, + 230283614, + 193686362, + 638523287, + 949452556, + 547220373, + 226200699, + 586665866, + 105781000, + 523676359, + 149220524, + 160026727, + 123512306, + 241740661, + 386256774, + 791476741, + 621639705, + 488993409, + 690106586, + 769290035, + 513659464, + 454416088, + 12619573, + 589305523, + 643659412, + 668923826, + 576295091, + 572803708, + 465582616, + 495743339, + 800825067, + 566762319, + 351726582, + 597370357, + 941433733, + 417007761, + 145811350, + 209394050, + 167898421, + 666776325, + 593596124, + 930562783, + 5040044, + 20269235, + 946204694, + 628661571, + 741760822, + 902902850, + 577004917, + 699313457, + 21238997, + 731555480, + 914189067, + 612964513, + 446423306, + 396049515, + 579250130, + 185607255, + 376344721, + 425601162, + 524719191, + 536048067, + 258640710, + 844356045, + 527540008, + 651801826, + 305867907, + 400024693, + 61218613, + 195229055, + 366760632, + 966523561, + 324066263, + 837176368, + 620267096, + 761817928, + 530653973, + 350403912, + 622087723, + 312865768, + 501384753, + 501217595, + 907392238, + 460602908, + 459438703, + 831976081, + 803546026, + 517854844, + 891388162, + 781830479, + 861171380, + 276096502, + 452131292, + 160737786, + 784492883, + 663854888, + 574376064, + 999995278, + 670535550, + 497592542, + 59022778, + 619461689, + 877509905, + 378287681, + 219757365, + 781684031, + 742755443, + 598201212, + 146675201, + 626408245, + 383725859, + 286042777, + 73412725, + 728858824, + 775968078, + 941833314, + 108406233, + 550553033, + 700457984, + 448763253, + 654806878, + 665419639, + 959871461, + 609501189, + 554058004, + 791505976, + 338394240, + 49415942, + 344902729, + 180860979, + 145517285, + 215093429, + 841554, + 422017541, + 894654790, + 320037778, + 489378636, + 588343062, + 592238318, + 70077287, + 40062575, + 210648465, + 887734776, + 519738204, + 205129138, + 520077520, + 516222786, + 572321541, + 514392433, + 365546224, + 375584600, + 1416723, + 201194330, + 347571084, + 772108691, + 673980382, + 40785111, + 668389268, + 568594289, + 555399638, + 309041455, + 874006237, + 590215893, + 184657229, + 132194749, + 255056308, + 388955112, + 71041211, + 528236276, + 612194315, + 890894706, + 876461388, + 740683970, + 72388444, + 779620939, + 854055114, + 354259369, + 435455670, + 863145461, + 992866183, + 314151502, + 868235323, + 559355984, + 958579771, + 328860150, + 906747815, + 736087233, + 916408762, + 614295204, + 835902022, + 145385787, + 806444084, + 130811967, + 876484074, + 14700914, + 881979990, + 682509003, + 988407047, + 536843463, + 122397371, + 898638446, + 365718299, + 731222328, + 249203083, + 342369123, + 747815162, + 627298437, + 788513784, + 770873655, + 690130084, + 113530671, + 997047436, + 265962980, + 737278137, + 537553397, + 859734120, + 238733023, + 644188666, + 139370354, + 499936826, + 858975930, + 346785446, + 67324201, + 751968684, + 661005387, + 388313764, + 707989807, + 774822704, + 215245238, + 205721723, + 193234735, + 969414176, + 152604116, + 345304285, + 701824669, + 242856443, + 515843026, + 15347417, + 153204622, + 392345798, + 165078993, + 806536832, + 94750412, + 774316875, + 75740532, + 315262191, + 701952801, + 229036352, + 617633616, + 911112982, + 744814292, + 280124205, + 960876277, + 623068266, + 733831048, + 23192797, + 700415710, + 579493479, + 369081556, + 162736612, + 105107262, + 207433121, + 606138765, + 753213545, + 121846793, + 932038297, + 150414129, + 349749851, + 651217281, + 936465381, + 28161316, + 840909642, + 174041171, + 335822833, + 664767186, + 118885132, + 377643944, + 616658794, + 706884143, + 590657598, + 27201744, + 643745056, + 51684075, + 316779565, + 297886445, + 560408816, + 35752087, + 907960562, + 523770419, + 984830858, + 707649602, + 818245715, + 575595603, + 457070890, + 47519946, + 778189285, + 116544979, + 310867876, + 649456528, + 184872825, + 860937140, + 106661867, + 709258301, + 971484025, + 996602858, + 258195807, + 78808769, + 785879478, + 226646500, + 173243874, + 266143811, + 203298819, + 950881971, + 735193349, + 267379043, + 390199692, + 250835803, + 6313583, + 833222964, + 22653782, + 796486382, + 445704720, + 26179210, + 944460049, + 607076257, + 180458111, + 256314495, + 438961229, + 82982062, + 147212015, + 20292666, + 630976936, + 659189946, + 891373880, + 860672940, + 937367362, + 833312333, + 192821121, + 266879405, + 141832388, + 402983357, + 405049497, + 729577383, + 154182185, + 128360984, + 891092465, + 21494095, + 8819285, + 111923315, + 906217553, + 609893685, + 998602779, + 457805575, + 141447149, + 847562769, + 477909830, + 873294053, + 373779555, + 391571767, + 950472913, + 932461589, + 23722903, + 708525876, + 732990610, + 362289751, + 327010812, + 905881484, + 228816135, + 67484265, + 640066887, + 655007688, + 564053763, + 712646890, + 880160418, + 197586097, + 394213322, + 849046908, + 548031787, + 810386089, + 407298339, + 429961173, + 479285997, + 953018966, + 837922030, + 966647657, + 121413212, + 961868952, + 800048134, + 45102811, + 87599343, + 70205632, + 234826179, + 350065848, + 358257915, + 488407299, + 473126916, + 935797154, + 49043966, + 327096364, + 732953438, + 476832342, + 77183298, + 291900112, + 281571929, + 932925152, + 905313653, + 825791590, + 718278588, + 92896415, + 129411629, + 717291605, + 874375885, + 638539430, + 982531893, + 812396331, + 230520934, + 23357769, + 367074177, + 161026612, + 248032617, + 150611699, + 916539150, + 757113466, + 309103997, + 79099618, + 541653722, + 881982362, + 577647010, + 468578773, + 95298530, + 79613451, + 835234786, + 376219779, + 422146485, + 560276314, + 104356205, + 1342389, + 15353834, + 980645456, + 777941654, + 180650754, + 922145045, + 924728508, + 302265733, + 217954886, + 410221054, + 816724727, + 872067914, + 113828339, + 663323008, + 795907452, + 991191713, + 760150362, + 752915519, + 850422105, + 610766297, + 825123341, + 108860098, + 370112183, + 132004583, + 896553704, + 576054134, + 13541692, + 708339878, + 545418615, + 721872296, + 256665109, + 1607348, + 409366172, + 730443497, + 458665520, + 349721291, + 356904805, + 250223431, + 49819993, + 130740352, + 461517173, + 477592459, + 603296291, + 291745893, + 263899305, + 685200666, + 418899353, + 642112488, + 100255463, + 25701237, + 674111261, + 12025155, + 702821920, + 380627308, + 997250220, + 899956851, + 774423224, + 858229392, + 922064343, + 862487497, + 746274828, + 632114242, + 261835932, + 884207416, + 288727330, + 556576561, + 205784699, + 103017253, + 358432135, + 574742070, + 608681256, + 682380082, + 379896762, + 290683954, + 823587634, + 639179822, + 618252869, + 375290467, + 673945207, + 183919405, + 721871079, + 887844371, + 98292588, + 492194901, + 781351951, + 823252188, + 627284067, + 119252763, + 967844988, + 829609134, + 195344150, + 641668484, + 39457297, + 668196730, + 561250404, + 293411311, + 910790202, + 83270589, + 755182386, + 248586398, + 758418022, + 900406478, + 67489470, + 675425665, + 778050545, + 28450192, + 377755269, + 864075268, + 572700161, + 159671682, + 189516084, + 769692085, + 982684692, + 232171500, + 955846837, + 936498911, + 60604561, + 24817107, + 290863396, + 320998329, + 975949546, + 568038318, + 981190313, + 839934801, + 731076705, + 308765076, + 49096444, + 819186033, + 121848308, + 70048167, + 433291522, + 267715821, + 205039677, + 592805204, + 319299929, + 885698777, + 511372058, + 929917426, + 125995414, + 149593146, + 378173517, + 302916978, + 392260726, + 751594922, + 402696501, + 895475947, + 442135723, + 328589509, + 513754209, + 286390704, + 709180855, + 492694123, + 166449611, + 464697345, + 526361930, + 488788749, + 928531443, + 158484487, + 837956847, + 428447401, + 864250592, + 398249607, + 869305947, + 701822825, + 743938133, + 262454938, + 639477906, + 823531685, + 624565409, + 547453600, + 716607163, + 806726068, + 481458249, + 239251348, + 870986740, + 805274234, + 294326136, + 127686964, + 597119402, + 549132515, + 605297229, + 770281527, + 148357605, + 205384978, + 651242353, + 965017706, + 402552297, + 486551664, + 112902824, + 994657928, + 833204318, + 100259244, + 953265919, + 917913257, + 169572574, + 130576841, + 377044599, + 492524142, + 697767640, + 913104551, + 10323877, + 854551002, + 184070460, + 141705341, + 37213362, + 971900688, + 638515304, + 642255796, + 534598067, + 280654043, + 886918634, + 198479778, + 801969393, + 738096985, + 725846998, + 789502966, + 353429063, + 81959903, + 503451428, + 502892741, + 639583507, + 266210379, + 257818524, + 961709196, + 756459501, + 174365787, + 959290232, + 625277241, + 187319629, + 622669583, + 778823768, + 219913430, + 766405926, + 481760814, + 579456342, + 458888610, + 585156669, + 410860238, + 306914197, + 753019689, + 794847260, + 820699408, + 698750276, + 119911626, + 96469984, + 400732723, + 972435836, + 520100117, + 993044448, + 514252505, + 28815651, + 534081884, + 250501681, + 568185731, + 899370670, + 418614384, + 218916756, + 355712045, + 800709750, + 268575475, + 301944096, + 561825157, + 184448060, + 634721854, + 533861926, + 378212406, + 772078093, + 269433184, + 126996252, + 698777501, + 721810714, + 28087101, + 687535443, + 618074056, + 664651926, + 990624850, + 65429409, + 206178162, + 379516774, + 737428978, + 993696277, + 907080269, + 890636506, + 365954149, + 372075589, + 895539291, + 200688630, + 155093737, + 217407844, + 313369250, + 281664062, + 487411721, + 782448068, + 606642099, + 408623587, + 932294305, + 431402982, + 330435073, + 81843943, + 979806998, + 199052785, + 248061742, + 694000650, + 206143634, + 497270481, + 460595782, + 592159296, + 721565842, + 949741474, + 159068462, + 317224176, + 754896533, + 315677303, + 523947264, + 390911335, + 498970408, + 926554262, + 206207584, + 29159701, + 345630764, + 900017854, + 862775304, + 285288725, + 286757121, + 921923860, + 237932922, + 550426579, + 912594793, + 939091280, + 682666570, + 432894167, + 108345360, + 346974721, + 626010936, + 727440122, + 893700162, + 24427209, + 780211311, + 215237705, + 926933860, + 514718056, + 558913948, + 546502064, + 680001471, + 331080809, + 829837662, + 940260271, + 920065237, + 329586397, + 240802001, + 66061750, + 644707066, + 454416644, + 639583822, + 189923386, + 861059742, + 918108818, + 952514870, + 313067234, + 762961370, + 617122400, + 716367107, + 416111129, + 793769920, + 994579454, + 174294660, + 248181693, + 865607163, + 999612287, + 886616722, + 812267661, + 896452488, + 268929903, + 935083768, + 625326191, + 321815584, + 758910465, + 94325909, + 424456375, + 366318098, + 576671933, + 752702039, + 607984122, + 954793058, + 528538097, + 631521441, + 785409695, + 711247709, + 129886807, + 723174714, + 579019024, + 427531135, + 792577934, + 781814716, + 301976476, + 276836254, + 423758968, + 138461301, + 217095310, + 559241948, + 251074859, + 121758120, + 672695387, + 62634887, + 678739134, + 60803625, + 264413498, + 872794947, + 542608089, + 155102053, + 891599423, + 593557492, + 156314271, + 391257589, + 438763959, + 397186178, + 334079305, + 801519993, + 572384721, + 345572421, + 422482995, + 437290636, + 756070197, + 758153784, + 299011331, + 228449661, + 905562385, + 434695259, + 442618304, + 903574091, + 816464082, + 399504768, + 43393125, + 567699662, + 131345620, + 764297345, + 726119381, + 488990960, + 386878970, + 439910989, + 375851945, + 890203966, + 645881115, + 735114187, + 413663934, + 25616477, + 587727201, + 130229047, + 567982580, + 970916394, + 426600189, + 709198830, + 503618645, + 314738216, + 875784367, + 820105548, + 786487762, + 747375788, + 100935413, + 380531094, + 870586371, + 184424237, + 180925452, + 249080301, + 300873502, + 707095615, + 991649326, + 604409542, + 746179093, + 448056978, + 222712467, + 10652066, + 295170028, + 379912045, + 356226814, + 756706027, + 756702184, + 602355017, + 507271882, + 59477287, + 567562787, + 506417145, + 746326779, + 491088687, + 900164466, + 690226362, + 174394369, + 201451106, + 905837076, + 57510648, + 520338877, + 531968668, + 897624432, + 292988956, + 106847123, + 728612905, + 782846108, + 723426789, + 178445313, + 228282496, + 531425874, + 922829591, + 618799612, + 773976976, + 651204481, + 950326242, + 203982938, + 143930337, + 105098311, + 502859877, + 332207266, + 579771900, + 940568866, + 71774420, + 349028765, + 733676706, + 986929313, + 226123177, + 620869389, + 319563133, + 446485371, + 539266235, + 722918988, + 814852538, + 539538060, + 39938660, + 438355010, + 951593634, + 663448841, + 593198973, + 79814677, + 660590436, + 677357699, + 440613670, + 593202513, + 503089629, + 760195487, + 250838500, + 919950306, + 646537243, + 927152562, + 592441407, + 538104302, + 536409150, + 63571155, + 195702296, + 918404527, + 162808808, + 693940238, + 560230958, + 737510986, + 992392320, + 844265228, + 695521770, + 300308712, + 786523306, + 487218310, + 192343466, + 661469699, + 108679465, + 430226867, + 941561661, + 461895340, + 112417918, + 736377990, + 696227950, + 240271069, + 206256338, + 935980941, + 859978405, + 353098420, + 111547317, + 152239363, + 296988839, + 477144360, + 128393417, + 77685469, + 763115205, + 546450049, + 859618098, + 567035474, + 829775445, + 372053443, + 677584951, + 854608609, + 586334765, + 303868057, + 945647995, + 450081540, + 245322512, + 50888693, + 646961712, + 809340243, + 163667088, + 967984985, + 37105772, + 230666976, + 471431092, + 865794920, + 557360524, + 196712220, + 339655058, + 984593717, + 71799367, + 836631493, + 767861911, + 195845936, + 847825229, + 513338989, + 802246030, + 100630025, + 146623935, + 496400989, + 932211814, + 234071598, + 224569877, + 212150251, + 989658302, + 773018140, + 976829309, + 210704071, + 976454018, + 227206920, + 82585603, + 20943243, + 941517943, + 980858113, + 716249194, + 468918057, + 297765611, + 189316142, + 704333714, + 98158910, + 660412419, + 774432518, + 256872964, + 178332466, + 149690971, + 905953659, + 191707343, + 673508706, + 328690641, + 152589756, + 642170662, + 375870459, + 82332887, + 99686233, + 361876656, + 531997253, + 587656815, + 636795244, + 376732436, + 281463785, + 333131270, + 647351778, + 413343918, + 530826653, + 121568113, + 646639273, + 918388676, + 180500470, + 141528682, + 795381584, + 243632557, + 949920568, + 770960434, + 23477918, + 367109645, + 280753972, + 931871308, + 777106938, + 807302416, + 119782236, + 838050188, + 517701944, + 521018678, + 279999069, + 95294174, + 913737779, + 636716456, + 213917257, + 313642548, + 724258807, + 447114817, + 435888466, + 688936509, + 47173272, + 757534023, + 459798670, + 218477703, + 224684154, + 883265694, + 862519344, + 103648905, + 389801582, + 376781257, + 649196382, + 193076183, + 176342182, + 370017815, + 415275631, + 159459129, + 577741346, + 183493187, + 934288505, + 247335347, + 680384923, + 640793051, + 446100812, + 472090670, + 104942002, + 443836486, + 490041392, + 177861385, + 182011718, + 801415588, + 809341777, + 72587813, + 979246912, + 373413730, + 543484643, + 164487103, + 622207939, + 593024874, + 889723386, + 281975696, + 224739623, + 847452859, + 27688987, + 249712284, + 49278176, + 778315245, + 61413908, + 393049784, + 885481747, + 700978812, + 723208366, + 480023487, + 158133910, + 744919697, + 806460295, + 823887288, + 210260880, + 457677739, + 661354635, + 237870652, + 806351141, + 832699714, + 595028474, + 205208168, + 971927854, + 620022468, + 261394736, + 608445279, + 70608879, + 316478064, + 600923836, + 184037461, + 511106281, + 211892154, + 577399998, + 591623370, + 330101496, + 12593437, + 354113973, + 838697794, + 583284694, + 481393874, + 687939971, + 407908306, + 836809663, + 455605995, + 788731391, + 825055676, + 787999762, + 919830905, + 695143520, + 985655555, + 914583133, + 822069478, + 827882170, + 259953787, + 36258899, + 44924245, + 482745229, + 160721907, + 441951657, + 13756175, + 788419518, + 239467471, + 374394446, + 567140355, + 179443822, + 367630466, + 626006099, + 32115082, + 770233251, + 492727231, + 478887944, + 49498660, + 732566538, + 359927810, + 694733241, + 61383462, + 691640937, + 793612756, + 136625897, + 217858549, + 226697256, + 224263712, + 425925466, + 968665597, + 674867775, + 823074177, + 57135845, + 585582062, + 715076040, + 16222845, + 866849959, + 420382573, + 576433211, + 881826771, + 682534407, + 630957686, + 559897318, + 915979386, + 542457716, + 183018756, + 533483784, + 303313739, + 836061103, + 52095550, + 703490829, + 804568453, + 727605640, + 17741610, + 750354895, + 658319560, + 602467989, + 152247655, + 640059348, + 147546790, + 802741668, + 491599574, + 359205192, + 128978041, + 335392585, + 920059071, + 724881286, + 164761861, + 74506138, + 251655400, + 376606047, + 187632675, + 954085460, + 491543906, + 314263706, + 541062769, + 386121910, + 460000369, + 239530270, + 667753828, + 766688938, + 293938179, + 184910094, + 670113885, + 893199925, + 771504370, + 948104827, + 701269977, + 641880425, + 220216127, + 731833509, + 586288679, + 196876265, + 842847229, + 258464438, + 770351034, + 651737610, + 601857225, + 845208530, + 595359819, + 882383666, + 56413156, + 804256367, + 506536033, + 677124433, + 252185609, + 964068805, + 537509060, + 671176618, + 165315873, + 41014665, + 472336214, + 898902122, + 683936452, + 198500860, + 170436612, + 706490309, + 38423920, + 112712878, + 495319565, + 892397346, + 423861052, + 906994181, + 144585515, + 277837207, + 176663919, + 182309856, + 272310725, + 147517632, + 92438574, + 215878046, + 639965865, + 740778766, + 600302269, + 172452913, + 88162526, + 868882029, + 863756969, + 920355219, + 319549022, + 290145457, + 968719172, + 223606840, + 992979019, + 286752499, + 444628732, + 234516285, + 456064198, + 222598220, + 62019544, + 246705815, + 477455618, + 311305598, + 972631214, + 58570703, + 699338302, + 856781226, + 515276101, + 717064938, + 281106287, + 963140726, + 742666030, + 542940631, + 617610884, + 718051984, + 9458187, + 281266719, + 974025170, + 71010849, + 945000308, + 957312201, + 12661887, + 952210413, + 37586241, + 244367147, + 693355069, + 768621069, + 570128064, + 286258546, + 14209477, + 656843801, + 428674664, + 208228544, + 245281137, + 773344534, + 162726310, + 829385596, + 79419488, + 29622322, + 26364387, + 236412837, + 564124049, + 578043092, + 181981427, + 378318581, + 951698671, + 646657929, + 654453223, + 97630280, + 337799602, + 466920219, + 654768773, + 40999192, + 104101280, + 596167394, + 541048870, + 961765887, + 95775979, + 611844052, + 679343016, + 49706730, + 214281688, + 336615021, + 429098028, + 187109385, + 522822226, + 999131590, + 348409261, + 928001355, + 800795138, + 115249263, + 817916391, + 598378394, + 901810915, + 15426892, + 929183101, + 836639467, + 449226988, + 803376748, + 516864930, + 595759449, + 876179767, + 302810570, + 911105003, + 754877076, + 627357498, + 277243518, + 852714689, + 845500606, + 747059088, + 826752809, + 494131778, + 90643925, + 218330975, + 473714548, + 278485257, + 325158152, + 313443972, + 864013402, + 620460524, + 171319262, + 826599922, + 302716081, + 507641478, + 644252176, + 279360256, + 811783829, + 418522458, + 563650588, + 818568140, + 828179919, + 397989588, + 398312466, + 679213376, + 901671329, + 723516429, + 901751708, + 724950819, + 972463050, + 129760569, + 548945517, + 256587032, + 683859186, + 527168802, + 870762572, + 471671274, + 228150215, + 976998768, + 397350704, + 277022553, + 352371755, + 634518561, + 944496870, + 970417615, + 565093552, + 323075343, + 695646928, + 923049675, + 127509861, + 426939471, + 80647168, + 278587870, + 986101073, + 541892219, + 153184724, + 281448877, + 915817759, + 675929611, + 660563444, + 803466012, + 619169162, + 376148284, + 598717220, + 471163578, + 660758257, + 338496830, + 840989232, + 187014176, + 197286497, + 551485906, + 501175098, + 54454374, + 30365751, + 271075152, + 424823263, + 593152331, + 969861594, + 527487488, + 559978081, + 535208831, + 439400614, + 427620258, + 884716390, + 805154667, + 442355131, + 292627100, + 556411349, + 179758470, + 129390911, + 764136577, + 671854115, + 205764046, + 202448424, + 238833900, + 773462265, + 253384939, + 812617559, + 354045667, + 688097513, + 429441745, + 732315839, + 516989520, + 703830955, + 919763229, + 75294885, + 617500955, + 172388021, + 743020974, + 470001001, + 613497749, + 646195932, + 367451432, + 882315779, + 43497988, + 487948579, + 557252860, + 232058132, + 524476577, + 839345455, + 993776674, + 420250222, + 1913133, + 454045963, + 914470548, + 774070945, + 342734955, + 173226677, + 620101764, + 304759028, + 984123820, + 81225448, + 307537157, + 424216080, + 122575324, + 500081254, + 695099937, + 811189310, + 482832521, + 752463613, + 857278114, + 809118614, + 823548858, + 195669101, + 261692553, + 42773179, + 586548671, + 240450526, + 559459840, + 798835970, + 868765894, + 999872234, + 342758104, + 17764630, + 472872145, + 196338709, + 934444670, + 888178235, + 84660711, + 839878120, + 578087845, + 698797046, + 575891142, + 316849797, + 424624362, + 780510560, + 644352590, + 626612877, + 110517612, + 237891092, + 569186058, + 386881298, + 923874884, + 173795807, + 806669314, + 341186257, + 228287547, + 246554493, + 545970967, + 410859780, + 998136726, + 993522176, + 902292008, + 863049491, + 223587499, + 19496433, + 773060595, + 405926224, + 924269855, + 231393751, + 328588237, + 765748592, + 682696120, + 757190467, + 18792577, + 386803083, + 497830525, + 395988661, + 408935545, + 69474536, + 380255480, + 766835024, + 22681387, + 762002283, + 877392476, + 532258465, + 790444418, + 472439415, + 85883557, + 44878408, + 975894962, + 748379242, + 484876275, + 445800852, + 636377636, + 990959012, + 937235068, + 330612604, + 12467297, + 282339212, + 184661749, + 193339062, + 451228795, + 538940041, + 707576411, + 867118255, + 414696298, + 703008715, + 563315975, + 308224864, + 391356790, + 923133549, + 657896048, + 433280274, + 654098768, + 218504177, + 277676776, + 248400497, + 279072849, + 168938385, + 914725779, + 199607979, + 951772405, + 38589679, + 156599831, + 478975954, + 53681060, + 461656714, + 223350405, + 469194693, + 935552940, + 496383908, + 448465991, + 185253607, + 719878247, + 820689070, + 681472723, + 47407593, + 488612871, + 537766625, + 540819211, + 728713922, + 252352715, + 746308276, + 132742427, + 637614102, + 818555327, + 113697671, + 637530328, + 418332040, + 446157688, + 387243488, + 334661624, + 409410725, + 56015245, + 882722365, + 367295491, + 901027463, + 794551603, + 420177205, + 633556901, + 214533284, + 206157335, + 464651555, + 808338321, + 990973969, + 368172382, + 888326931, + 276141218, + 951786507, + 351330032, + 254253330, + 162972076, + 433198264, + 957833273, + 552434934, + 937716921, + 299277434, + 334046503, + 947587349, + 997835410, + 147226679, + 612135318, + 650868657, + 48608212, + 638841584, + 116562312, + 67051100, + 257074132, + 552480989, + 493649344, + 128397634, + 971327381, + 740553511, + 421439501, + 284611909, + 753006851, + 908168862, + 56138391, + 662379622, + 37639964, + 231723248, + 180986054, + 114003435, + 817174841, + 709687984, + 786055222, + 636694325, + 900653619, + 98235204, + 4711197, + 516854899, + 528389917, + 587599108, + 538460343, + 2764429, + 134983680, + 221978572, + 242313151, + 199344927, + 935549253, + 380020379, + 606425865, + 951847987, + 809348110, + 880041450, + 203170148, + 971360092, + 738718955, + 619946809, + 843667553, + 770468189, + 468756390, + 339835011, + 18736880, + 556973580, + 800215569, + 463187887, + 342354259, + 313727781, + 278073554, + 704692555, + 724449516, + 911499786, + 157842319, + 119603932, + 415291609, + 430810296, + 132546435, + 181079145, + 211586023, + 626196615, + 767649903, + 395487822, + 70511601, + 696503364, + 238839678, + 283255737, + 307431735, + 130129005, + 139211810, + 785569410, + 255589422, + 187332572, + 157519975, + 281610763, + 775352768, + 373144456, + 972532112, + 419823028, + 285053345, + 464928355, + 363682110, + 469854815, + 90401612, + 413984341, + 784175133, + 553769787, + 900472192, + 358398467, + 439896514, + 649956686, + 927503116, + 477154221, + 301288347, + 668649156, + 330976866, + 261704175, + 538154137, + 392100474, + 359441208, + 183656866, + 741697161, + 544007107, + 610320916, + 908430466, + 506991457, + 683407968, + 374300015, + 548729042, + 49450102, + 627618692, + 780220556, + 822591767, + 583816920, + 654521963, + 694013265, + 401987244, + 244292376, + 326082751, + 251283375, + 93248080, + 992759449, + 56937713, + 24465600, + 108247816, + 961829522, + 789457735, + 352685433, + 337913227, + 67902597, + 750133939, + 486610936, + 338123792, + 179907632, + 535494034, + 226127448, + 875119800, + 590247702, + 580361870, + 143520698, + 810481745, + 686505013, + 762344956, + 352984990, + 92135135, + 322748082, + 283763199, + 467105271, + 117105077, + 155498379, + 238507790, + 326895033, + 669816161, + 552889777, + 396771481, + 992458264, + 785996055, + 809239797, + 817017877, + 57094253, + 965558634, + 207470353, + 855196839, + 186851546, + 127469170, + 620433282, + 243352928, + 410521534, + 190212699, + 830120638, + 571548048, + 357836282, + 660186128, + 378058742, + 350246209, + 575398937, + 46431318, + 47752769, + 602409341, + 321279087, + 401376194, + 854196437, + 659422639, + 473520463, + 862296335, + 721525654, + 858965248, + 226733709, + 85194717, + 102555190, + 260250087, + 289514521, + 235179832, + 698968630, + 647471236, + 202503307, + 580385309, + 649909599, + 742070822, + 484246120, + 365075406, + 784896651, + 144737114, + 313886682, + 733049240, + 933702850, + 310640161, + 122097778, + 675681822, + 519495675, + 910382534, + 247269379, + 658103888, + 798878957, + 775107953, + 671672820, + 672451421, + 349972413, + 124806330, + 528396773, + 372005098, + 612279007, + 787864930, + 664002059, + 562251608, + 60958261, + 560928871, + 660934128, + 53976395, + 21576670, + 820913125, + 172248379, + 658537841, + 278384946, + 27117462, + 761099682, + 226440057, + 365933137, + 728517659, + 165109077, + 418207544, + 460599736, + 49712905, + 637453334, + 944289156, + 160156879, + 727501276, + 102937410, + 843375939, + 547936181, + 672807900, + 186620365, + 316375162, + 39238831, + 251245059, + 96480966, + 631355815, + 901320348, + 979823934, + 630892660, + 323439069, + 910291436, + 201145450, + 251559498, + 520531822, + 719773012, + 639607695, + 740067248, + 771437766, + 988203645, + 605267457, + 626403557, + 219166347, + 501467351, + 625905676, + 812950168, + 464569225, + 665449793, + 715839673, + 101220427, + 324586669, + 821202461, + 586933322, + 865305405, + 308800566, + 164707277, + 173763732, + 125958629, + 842726979, + 173504002, + 468054664, + 972425841, + 811900999, + 580363392, + 147617601, + 835509798, + 586268817, + 255766342, + 710683549, + 81054839, + 853371585, + 779155196, + 211419676, + 215702924, + 841940332, + 523658258, + 106011703, + 808359275, + 368833996, + 611079143, + 644325712, + 148509006, + 276750666, + 974094231, + 910761251, + 166254048, + 189980545, + 747661621, + 649393683, + 140168362, + 112606454, + 417041566, + 532425453, + 702189896, + 818229909, + 36582856, + 376097954, + 736240669, + 959936089, + 35098257, + 353251615, + 729146668, + 52502076, + 496370666, + 156534192, + 948596251, + 593148087, + 130375235, + 771601255, + 27723479, + 814112238, + 197353412, + 838159472, + 491869831, + 553427608, + 738204568, + 367305902, + 253851119, + 641950056, + 606707191, + 101126064, + 942332598, + 914747161, + 976250764, + 747862552, + 802137931, + 593659481, + 455638638, + 711652350, + 159254369, + 820734447, + 609361237, + 317743622, + 690056596, + 120541526, + 318554890, + 866047389, + 990423498, + 26552026, + 459608194, + 509169633, + 150646280, + 800851394, + 221294909, + 940195473, + 199772394, + 708237922, + 580215162, + 201358189, + 972625651, + 562590992, + 898786720, + 848625244, + 130211626, + 998588457, + 276062186, + 770813342, + 629020424, + 296020606, + 765637682, + 494837709, + 549351307, + 51202478, + 746257728, + 132826123, + 745360694, + 164045193, + 753502947, + 951762166, + 763745617, + 147003822, + 566873293, + 689310305, + 608389808, + 891266120, + 61881636, + 794146598, + 703680901, + 345562574, + 94844606, + 527617208, + 378625152, + 837775172, + 459255739, + 952773263, + 3910784, + 620019536, + 728902861, + 29737133, + 69000193, + 471047579, + 683560250, + 883734875, + 735542594, + 433980112, + 862184157, + 806494463, + 643927846, + 1260790, + 957737070, + 438925264, + 152068574, + 440734046, + 366965622, + 326004607, + 792741555, + 480258936, + 187758095, + 78102796, + 607499604, + 942737999, + 150345910, + 489338894, + 31431213, + 96526654, + 913927086, + 660213893, + 567300418, + 128020074, + 487168112, + 155038325, + 263963376, + 677042663, + 26344860, + 235159292, + 587885849, + 366422141, + 544144665, + 198998295, + 687944977, + 272309646, + 1558838, + 140370765, + 292674599, + 886424664, + 440903662, + 434935529, + 171364745, + 475351052, + 950326251, + 846483214, + 631050117, + 186579712, + 873312028, + 463333178, + 339375413, + 565769586, + 117268184, + 352587014, + 256978061, + 192857391, + 872802971, + 457990054, + 44488193, + 573256176, + 83728087, + 103056749, + 785579001, + 315428427, + 868168979, + 153181406, + 698657314, + 448655731, + 867942952, + 10348205, + 374511484, + 124739575, + 752195756, + 144637140, + 281096310, + 548446730, + 841716408, + 230920634, + 134975068, + 673712028, + 87905828, + 588381542, + 691269327, + 185416091, + 398606705, + 154204, + 781000575, + 607260521, + 490345209, + 591993472, + 96296926, + 256705569, + 622251118, + 990525939, + 345635967, + 870712667, + 342817748, + 966923265, + 779675456, + 63012805, + 941504268, + 154067712, + 30259265, + 518675449, + 970905121, + 933425347, + 539160890, + 654218086, + 777678030, + 27135596, + 536515440, + 641940479, + 505428068, + 137495111, + 184096727, + 921463563, + 77530425, + 87171947, + 610944741, + 401130695, + 829957065, + 712011461, + 254156195, + 592106433, + 3178536, + 909861919, + 683676992, + 671911192, + 836376054, + 291600465, + 564561664, + 86267478, + 595213415, + 739154762, + 828644225, + 947838610, + 389031844, + 697740158, + 923753059, + 110317989, + 981756799, + 425617564, + 395377178, + 583408252, + 947426712, + 425724830, + 168728654, + 953580474, + 422961103, + 755438460, + 591307945, + 332981709, + 91903585, + 605172595, + 300895246, + 939613098, + 903238262, + 639761308, + 788521612, + 619795476, + 834117676, + 268016778, + 63083761, + 317729661, + 537958082, + 917249569, + 426133166, + 258333276, + 665295092, + 492789168, + 481059807, + 865583773, + 136579696, + 576010529, + 95311269, + 662109983, + 30159655, + 415833906, + 527410808, + 127784161, + 907309728, + 20492066, + 370484898, + 904276, + 430833131, + 58156061, + 440884857, + 13512197, + 596764219, + 216277803, + 915251680, + 70112810, + 287633300, + 989541579, + 861315207, + 874906441, + 151973011, + 479738366, + 593707531, + 591293349, + 181434296, + 495686347, + 590457701, + 130226981, + 511155165, + 105362323, + 115619176, + 448545746, + 610364315, + 80535625, + 605479066, + 856468648, + 555572550, + 484893856, + 125171029, + 828282631, + 24773241, + 52260854, + 270645178, + 627339677, + 221435210, + 72539087, + 537869611, + 246661668, + 647484866, + 699982624, + 365206092, + 550220071, + 373889871, + 306383593, + 947251694, + 949752938, + 947418133, + 264335760, + 579410851, + 582406686, + 472265691, + 962600000, + 371579081, + 313490243, + 138513687, + 165377208, + 205834408, + 402623809, + 798206125, + 88959978, + 56982090, + 86692718, + 973703419, + 232437734, + 342255950, + 315941605, + 804762126, + 971189258, + 874321994, + 715677407, + 284049032, + 937082522, + 807553455, + 650281605, + 674384241, + 620330757, + 982560761, + 770613120, + 998549460, + 561243961, + 206978316, + 743960018, + 636674591, + 244374138, + 354913062, + 849750121, + 5560236, + 775851908, + 951891170, + 552525312, + 731325023, + 259997041, + 649341103, + 960377011, + 862863567, + 844587856, + 499081282, + 553632003, + 111528312, + 664470570, + 433329449, + 950270396, + 156582835, + 467344570, + 821551208, + 973350710, + 808207976, + 546381753, + 304533747, + 741355803, + 401661311, + 910541552, + 301145392, + 647120912, + 45789386, + 776339013, + 367147003, + 221556320, + 872217147, + 475358444, + 179411142, + 512822315, + 503491767, + 417096999, + 358070270, + 642118631, + 927791154, + 716250120, + 218403963, + 299720485, + 158491193, + 723273760, + 409675150, + 140829728, + 536626499, + 634305565, + 906301950, + 446195249, + 896743248, + 152971623, + 253715324, + 857011953, + 535614701, + 61738417, + 231705097, + 66900874, + 91541353, + 651221428, + 850483773, + 551974400, + 751365263, + 967786418, + 952350687, + 773850385, + 832276273, + 175710382, + 479105915, + 272421331, + 614885263, + 83890396, + 642469862, + 123833323, + 402036882, + 525178302, + 359682748, + 370481361, + 417789550, + 755528834, + 427846241, + 968624206, + 445237634, + 830368376, + 724369380, + 143458206, + 726162354, + 293792799, + 371629214, + 616436096, + 556734964, + 227344632, + 403173585, + 467748545, + 550212781, + 393533866, + 451115325, + 55262707, + 802055255, + 859575865, + 816585000, + 354218330, + 204512506, + 705463578, + 612215509, + 93132747, + 890371178, + 325539314, + 505076009, + 615630441, + 660480699, + 122975311, + 889130968, + 414285555, + 324148357, + 748688082, + 590959740, + 284735164, + 23254324, + 683581633, + 253034571, + 398837349, + 118548164, + 318088348, + 803123585, + 228070291, + 95192170, + 177746189, + 612859566, + 492260627, + 78566336, + 315961823, + 557397067, + 872223060, + 749431839, + 73620436, + 141041980, + 371349471, + 557368137, + 30577247, + 120960927, + 436466255, + 973792644, + 904100640, + 863498923, + 885874753, + 795770248, + 550714389, + 82033884, + 792653857, + 211453518, + 521111429, + 380788987, + 394726702, + 599357063, + 449599058, + 843913661, + 923894328, + 840770108, + 676040156, + 337761751, + 556117949, + 62278243, + 582806182, + 53930493, + 623148086, + 909837281, + 799999355, + 874297196, + 683601041, + 182070728, + 695985152, + 926250732, + 814673942, + 500590932, + 888021422, + 984303811, + 719737476, + 36715831, + 196811810, + 575035046, + 403494161, + 346201556, + 938769320, + 804897909, + 301390119, + 1263384, + 420122719, + 429792765, + 916404256, + 111581760, + 873140541, + 950038906, + 226356606, + 737234919, + 913603791, + 348374433, + 45774736, + 43605369, + 337694975, + 663735286, + 396273012, + 523029091, + 645052881, + 9901980, + 827909503, + 363424956, + 862248704, + 763352587, + 668719364, + 487656899, + 705948471, + 36816049, + 446095347, + 945534157, + 738815911, + 604696874, + 55298873, + 399546161, + 399965498, + 550088877, + 229565403, + 657388262, + 372691227, + 509794106, + 859565767, + 426254757, + 461473581, + 143448595, + 991993666, + 449698783, + 36297451, + 307551354, + 746037862, + 56760110, + 457741093, + 467275158, + 278275219, + 411190092, + 237528705, + 913524326, + 418922309, + 838858325, + 971669630, + 864218897, + 655550124, + 553795312, + 554222208, + 667260113, + 599528533, + 50423070, + 268646598, + 594248142, + 920513190, + 6237994, + 452349752, + 991412768, + 412199671, + 60643934, + 572047614, + 66233451, + 40166888, + 448667264, + 15419032, + 702602243, + 210456209, + 570727861, + 168207178, + 262340890, + 285605665, + 635957969, + 711011944, + 692038068, + 865686695, + 181942335, + 3121641, + 604353418, + 627436721, + 682297836, + 154939108, + 81128403, + 817245092, + 347257060, + 585119056, + 607020795, + 790584184, + 589877500, + 762381128, + 27228748, + 550811872, + 885132123, + 54374852, + 88413412, + 261238660, + 972185056, + 696056202, + 378902383, + 312024803, + 334722898, + 525460340, + 572363610, + 458633758, + 962397979, + 572762989, + 342709514, + 630809155, + 285855471, + 568232519, + 909037856, + 794616394, + 983536228, + 43496949, + 557905365, + 306484841, + 832560073, + 775740442, + 881813056, + 451487157, + 25535871, + 864757162, + 842332613, + 18481143, + 529536438, + 326361243, + 589197096, + 792521603, + 532033640, + 47389378, + 873650406, + 708989137, + 768562210, + 103823319, + 65945204, + 784496483, + 445089304, + 672162276, + 404169225, + 286651231, + 878875149, + 650505516, + 253746733, + 865322303, + 52690969, + 694002328, + 427759579, + 415746536, + 781742531, + 335424638, + 430013924, + 490079771, + 9943360, + 399062439, + 886330522, + 687814063, + 976213110, + 371372842, + 214373639, + 527264517, + 12173787, + 163384275, + 546868303, + 540323733, + 946453458, + 226237810, + 300221862, + 412840051, + 669294402, + 641936613, + 292645443, + 315519911, + 728352526, + 458226052, + 546785163, + 263462741, + 403752629, + 230281430, + 687889384, + 624818007, + 806072861, + 361930601, + 408387900, + 328418229, + 769393599, + 949767289, + 754950199, + 406209966, + 710392146, + 593523789, + 728357475, + 549387164, + 688603670, + 483819332, + 417376673, + 207546210, + 744024663, + 772600826, + 483049585, + 886248443, + 271342650, + 216252862, + 991394591, + 656530294, + 165288336, + 229045636, + 256062228, + 106408122, + 445451532, + 632815157, + 34376587, + 198212080, + 65683699, + 714932516, + 562296394, + 350467107, + 681119163, + 500661421, + 942201613, + 33436726, + 318498939, + 67704704, + 772430469, + 975816378, + 608781556, + 366532602, + 140232144, + 966361080, + 660191024, + 83634447, + 640500020, + 690918435, + 331708301, + 372438838, + 565835115, + 808066971, + 450832573, + 218217728, + 164129506, + 521411904, + 376980265, + 256192596, + 507584828, + 258870903, + 944570800, + 676599072, + 258832998, + 913984417, + 767030274, + 552320992, + 647625077, + 916283361, + 671776634, + 685255274, + 843840238, + 25948010, + 527558374, + 593422299, + 747487487, + 122825539, + 890070207, + 700248798, + 95460173, + 193876453, + 970660701, + 105032705, + 509446895, + 163352843, + 413157125, + 168637737, + 478314906, + 830921297, + 207021512, + 677862497, + 740715531, + 6624579, + 307788152, + 699906878, + 559109733, + 972270512, + 441367423, + 832030151, + 660952890, + 513246692, + 872818602, + 689747068, + 56455147, + 954041746, + 914778521, + 724112037, + 255475106, + 250541777, + 273675771, + 745664323, + 109313078, + 562029126, + 114022457, + 273834881, + 23240835, + 38183968, + 723848753, + 630001789, + 4101864, + 771778324, + 789401154, + 245822201, + 482972685, + 638405196, + 929109489, + 522489938, + 256962182, + 858123508, + 738377667, + 755198136, + 453669910, + 175600977, + 215419491, + 975388309, + 1341551, + 732049942, + 228388576, + 193950768, + 779212415, + 209200986, + 197396478, + 398819315, + 570642256, + 675313605, + 512923638, + 455802113, + 751368409, + 792319384, + 717305022, + 983090558, + 81196302, + 419595775, + 369590119, + 392057145, + 225551885, + 117591869, + 10987196, + 383340271, + 432964419, + 425989569, + 187089116, + 943909683, + 14997552, + 995605691, + 278566694, + 82083968, + 555887035, + 816305135, + 890641557, + 245274445, + 807293387, + 231259532, + 198652027, + 794125132, + 975194455, + 278487549, + 707715256, + 214745101, + 690168077, + 774917214, + 152991753, + 534900948, + 810958074, + 703728244, + 123525040, + 738863204, + 66685481, + 246327294, + 87236325, + 430163101, + 318493496, + 607515299, + 809485072, + 18415703, + 145332253, + 799981218, + 988309539, + 920810524, + 580764883, + 871679443, + 459915359, + 686331534, + 165321728, + 219913782, + 83533550, + 185509961, + 926348141, + 666759786, + 636715482, + 52262111, + 660751248, + 626666374, + 18728321, + 915280576, + 32705376, + 521892735, + 883712957, + 449411792, + 617647110, + 952209142, + 963086177, + 44147852, + 168661743, + 359588306, + 469136284, + 384452900, + 887052822, + 165877397, + 972801305, + 583042150, + 817623663, + 630806586, + 913071020, + 436023233, + 773577742, + 269239176, + 506825173, + 797471073, + 425565824, + 868596770, + 61810602, + 472328253, + 207343987, + 706613889, + 808120019, + 308556276, + 462301920, + 249197357, + 594191044, + 590255708, + 275078443, + 132267816, + 975439899, + 498830245, + 815524146, + 853737533, + 799020191, + 268883223, + 616159941, + 902046336, + 710727747, + 543802411, + 296705630, + 652437341, + 852892329, + 673803490, + 247686, + 56673706, + 747240110, + 312584270, + 848628545, + 772143589, + 920017422, + 966072022, + 809240159, + 61846261, + 885207646, + 554080908, + 394269600, + 235763422, + 169984595, + 370038207, + 669818483, + 154972286, + 874095156, + 529461364, + 843883814, + 326233207, + 930683155, + 248470639, + 988953775, + 64747049, + 998167888, + 503078230, + 775109019, + 170863346, + 106911199, + 992411058, + 293989174, + 816498418, + 782357901, + 122944638, + 726658681, + 322203367, + 766625116, + 290987939, + 409187408, + 361289236, + 265700234, + 84954305, + 987115437, + 875509660, + 695407535, + 545983262, + 734854605, + 26260232, + 651892459, + 373531196, + 393156367, + 385793910, + 926144629, + 940089174, + 614626622, + 422246667, + 889034293, + 10157176, + 965305133, + 581883975, + 788785988, + 284548600, + 272184811, + 58066463, + 243875477, + 259312663, + 564849730, + 920478608, + 638830717, + 187048267, + 158272394, + 670180068, + 906875759, + 579708997, + 915136613, + 506026541, + 606981038, + 713710218, + 252223951, + 937559665, + 758734935, + 748553001, + 442900274, + 701974261, + 418254280, + 858603366, + 604774668, + 145289820, + 654766922, + 437555790, + 356495277, + 79914321, + 68588378, + 457051902, + 70511012, + 736044940, + 558895232, + 46404403, + 319273954, + 315143273, + 543934163, + 349335410, + 76277153, + 978287821, + 419814361, + 633883644, + 185978006, + 226229967, + 358351668, + 226348145, + 884917733, + 461247990, + 291757446, + 303906649, + 272725723, + 361263479, + 824464670, + 642200502, + 657355565, + 48958996, + 329164789, + 151923716, + 678265507, + 475803121, + 113527682, + 906508381, + 174862924, + 200463375, + 540042909, + 685235858, + 486276306, + 539136750, + 771690258, + 36620006, + 226525121, + 100522554, + 295468063, + 61026113, + 380704974, + 62227708, + 463393930, + 424036891, + 67605917, + 916975624, + 129336240, + 932152680, + 680110289, + 628555235, + 198525727, + 206174520, + 27346133, + 424054251, + 374591262, + 305602197, + 283387367, + 449425755, + 155646449, + 244254216, + 64199014, + 798096446, + 943440238, + 530995282, + 92045871, + 381418275, + 989047448, + 27372176, + 355370600, + 279520839, + 181715184, + 863623389, + 858314765, + 48389427, + 15393510, + 432341180, + 121917398, + 620207161, + 916690744, + 248390926, + 444214925, + 548706444, + 337216591, + 220463718, + 418488644, + 730701174, + 441820320, + 704203526, + 834603621, + 460985406, + 738874912, + 908327294, + 44640929, + 212671255, + 565167684, + 393814042, + 735288712, + 721206895, + 518482816, + 381140941, + 417664478, + 807165260, + 189755908, + 400186575, + 303259190, + 69185018, + 469908871, + 881632243, + 896067877, + 549724019, + 236553338, + 929142368, + 115036899, + 324746567, + 471249309, + 99237378, + 386588466, + 737799053, + 898789757, + 536034271, + 850726624, + 696340173, + 679982626, + 700495545, + 254139539, + 506626701, + 742061832, + 36646263, + 813532022, + 267953463, + 991772917, + 631499621, + 261717487, + 948874681, + 112702910, + 358090968, + 775308156, + 790469068, + 373774125, + 689435158, + 113845537, + 944309723, + 103086222, + 587437792, + 442505825, + 955659299, + 822479969, + 75929908, + 414705383, + 881874393, + 796882167, + 121016121, + 480429108, + 683439022, + 165153694, + 477300320, + 168437019, + 928454754, + 228697590, + 625987462, + 792553058, + 543375217, + 575761543, + 493078687, + 275735428, + 934847132, + 151158514, + 310989741, + 485921552, + 835219177, + 819143563, + 202177779, + 214149743, + 93873331, + 249551044, + 304588686, + 728550248, + 419058857, + 492166808, + 104093084, + 464246976, + 67803533, + 369570385, + 719503273, + 663796880, + 435975223, + 598361030, + 609847853, + 128919527, + 761942030, + 981399429, + 117242577, + 923181498, + 55149415, + 874572728, + 303048462, + 287943100, + 998991697, + 19115703, + 173800483, + 211059632, + 189241183, + 996595127, + 792473146, + 582352480, + 911040372, + 366724361, + 639367351, + 915483368, + 95471672, + 426834906, + 963060060, + 464101347, + 68273671, + 2341270, + 853552608, + 799688823, + 871374119, + 256375927, + 68388439, + 127954007, + 959344388, + 348976726, + 959258807, + 733111030, + 265717621, + 65985958, + 709037003, + 684260638, + 300291856, + 654566806, + 134579059, + 885238268, + 780253265, + 877448542, + 561997523, + 500194154, + 684820017, + 519513159, + 914706809, + 83437914, + 170929289, + 393202383, + 324027501, + 227735062, + 850375694, + 30205220, + 681358596, + 30410756, + 237304965, + 323070818, + 797537448, + 25616963, + 632003531, + 619469237, + 184976183, + 58537164, + 112382186, + 569446008, + 809389126, + 509179169, + 267814615, + 226133980, + 331442730, + 188321025, + 111020104, + 728640900, + 542188253, + 139839698, + 450509319, + 127261619, + 839171984, + 647038920, + 484874454, + 199750942, + 357061765, + 645847161, + 7560695, + 63367623, + 386152488, + 25348094, + 697882748, + 226412164, + 557756335, + 320851051, + 426094125, + 586781322, + 480684615, + 157268079, + 51987820, + 671715772, + 187320255, + 814937799, + 730244475, + 530772095, + 649736669, + 407348304, + 805891326, + 772586122, + 306255918, + 294921104, + 696569664, + 330613594, + 818468268, + 703868881, + 574950598, + 117436502, + 513572463, + 688949047, + 186581234, + 242668426, + 968908492, + 58691872, + 416168282, + 297907324, + 120623060, + 509176547, + 507482716, + 519724103, + 85972711, + 925203982, + 158659710, + 865364490, + 507145484, + 393922874, + 733006847, + 45269021, + 830801459, + 150396250, + 616289141, + 578899217, + 734134024, + 328702650, + 901486738, + 3984002, + 5705505, + 335620742, + 855000392, + 770307290, + 417196881, + 750493321, + 971381486, + 207659583, + 608270963, + 875266615, + 102981449, + 870837391, + 952780965, + 60328358, + 966216793, + 444654308, + 340461478, + 650901286, + 617201589, + 606312959, + 53990111, + 233465169, + 772964106, + 777510565, + 289021480, + 372706848, + 4468243, + 628444786, + 863310035, + 88591576, + 591644749, + 463273284, + 367312598, + 791848167, + 741414560, + 265217350, + 635358523, + 123654254, + 317294768, + 649501454, + 275916638, + 631786015, + 946840823, + 310399512, + 932911978, + 6134969, + 678245271, + 279317599, + 168338749, + 94673018, + 732029643, + 708384871, + 345169628, + 270469369, + 529782520, + 449719415, + 917199830, + 184020461, + 697235376, + 554485284, + 967122452, + 102779432, + 106014520, + 384104117, + 269946290, + 538913778, + 307803560, + 464639564, + 395498010, + 437344058, + 986703022, + 667762188, + 203379052, + 308661339, + 658763522, + 164882446, + 579143770, + 639969073, + 875867704, + 146243780, + 294343177, + 894153118, + 123164026, + 616824629, + 585243236, + 787645256, + 406014529, + 831892166, + 764639558, + 49795792, + 709210788, + 143288280, + 944589913, + 670451458, + 636604746, + 199913816, + 44711982, + 702901136, + 154201716, + 93412218, + 184123785, + 451533852, + 799368906, + 602098033, + 625313942, + 468300853, + 907696079, + 49015703, + 498364241, + 622175095, + 883151545, + 223907478, + 637868163, + 942719089, + 615128681, + 632838897, + 403604492, + 565165379, + 716239468, + 342928942, + 444059621, + 634646320, + 818731926, + 397470242, + 560074853, + 57669244, + 657353947, + 680634498, + 203222375, + 597496360, + 712920749, + 102248430, + 741380638, + 795476400, + 554103189, + 891518000, + 175817158, + 9768620, + 166220575, + 350207135, + 563014487, + 697126335, + 468549836, + 366168742, + 956876988, + 77989735, + 16803890, + 492091314, + 983588322, + 702807493, + 798242058, + 81318862, + 631065966, + 54338346, + 326600787, + 893063098, + 889086426, + 337999978, + 402779191, + 2458783, + 742951499, + 554344512, + 271482619, + 262694572, + 838149233, + 956610653, + 86591257, + 692057217, + 17525753, + 943735255, + 395062524, + 314626230, + 582099639, + 146244666, + 646809172, + 440147634, + 252038220, + 992018464, + 901246598, + 762522401, + 109482209, + 212162395, + 811523850, + 414871731, + 303284289, + 83065352, + 749400549, + 803430711, + 719348245, + 52087598, + 657730714, + 644512696, + 250892956, + 390838192, + 99479848, + 571583078, + 973246908, + 4221601, + 463549077, + 118180061, + 894384427, + 150331299, + 42029388, + 193556976, + 650164029, + 716808554, + 291519439, + 206855953, + 818172063, + 953712438, + 600825783, + 87612831, + 62580812, + 573101481, + 194210151, + 733237450, + 511978659, + 338943466, + 455926923, + 370071606, + 434808346, + 499904136, + 1578530, + 399562183, + 168389909, + 270328016, + 519542640, + 440260315, + 683575708, + 636335887, + 999596771, + 646564854, + 932417922, + 697126744, + 78790771, + 152306815, + 206824842, + 92857537, + 284078311, + 839099450, + 872089334, + 344332718, + 957990125, + 345750444, + 68907, + 997994529, + 328067693, + 197231849, + 199645918, + 882493255, + 744858955, + 199109643, + 290856376, + 111335178, + 202902698, + 874557369, + 385046566, + 405424801, + 764338524, + 47703822, + 377321496, + 819327790, + 462801230, + 657478523, + 939564217, + 454610966, + 408545189, + 564934958, + 89637812, + 120912072, + 1397468, + 28896250, + 143746241, + 560952254, + 550611439, + 424971782, + 37651571, + 860608225, + 780839734, + 514584512, + 839747604, + 858538136, + 744362034, + 342836008, + 267373989, + 164083168, + 136206635, + 54542621, + 712295402, + 840871325, + 851807982, + 210618207, + 472060599, + 656410677, + 161504117, + 172020829, + 83201788, + 207585381, + 206603015, + 455156945, + 206722047, + 69974517, + 862025303, + 317225410, + 577237162, + 530800748, + 301477573, + 974890295, + 241493267, + 320458531, + 918989201, + 27562256, + 662807951, + 994848492, + 841821070, + 847341743, + 97426581, + 15783323, + 690064837, + 235663537, + 845169862, + 212780495, + 241237562, + 749375576, + 267117956, + 396067730, + 986884027, + 94677294, + 758314287, + 612343787, + 334176097, + 978649497, + 344532713, + 289535441, + 863771748, + 780292134, + 905735440, + 984331374, + 767835467, + 484577913, + 415025655, + 233562732, + 577436977, + 631498094, + 411937822, + 243720234, + 718281124, + 348234622, + 357780913, + 806032090, + 155982709, + 797821997, + 662597701, + 867748821, + 441022999, + 627093466, + 379189743, + 427316988, + 31447649, + 928195731, + 871290142, + 854549495, + 940310473, + 777041674, + 881830767, + 387691683, + 166935569, + 815690515, + 824694783, + 589713099, + 92969066, + 504630088, + 304821076, + 223324520, + 974525671, + 218688287, + 510634710, + 745910286, + 955522673, + 632044048, + 322930166, + 880097970, + 34515278, + 711504283, + 71601451, + 244264714, + 704987399, + 188764431, + 124126857, + 115459332, + 778999183, + 239412483, + 296992451, + 400939645, + 820803394, + 510838401, + 894170600, + 638538004, + 329849232, + 993805125, + 398988409, + 373435678, + 981191906, + 123738426, + 176982384, + 871581404, + 588446734, + 233584279, + 507733047, + 130363082, + 824197818, + 896479518, + 831463631, + 502601821, + 720694724, + 874320792, + 200164110, + 680470011, + 867493222, + 435811669, + 972594802, + 78084604, + 918420610, + 981271955, + 615459740, + 977985162, + 586062411, + 592450158, + 635372564, + 860177535, + 920199220, + 23089846, + 742623858, + 329261313, + 720541688, + 662367095, + 635773995, + 63766187, + 37625105, + 345867822, + 368097248, + 216646791, + 234222315, + 173126067, + 2071620, + 528587467, + 220441984, + 327565990, + 767413440, + 527745509, + 81060519, + 153414233, + 178751194, + 781332765, + 993186497, + 950873601, + 205252280, + 790284397, + 398784543, + 642239700, + 457778342, + 221203745, + 28567299, + 104255973, + 239366319, + 87157699, + 372515433, + 356957866, + 800941371, + 496931239, + 776772148, + 218811710, + 449516592, + 644389522, + 973904951, + 682340873, + 898454458, + 369376634, + 856666725, + 117680915, + 155395253, + 197325335, + 443504520, + 297642696, + 653241672, + 419805916, + 571509748, + 251807577, + 860343707, + 78309712, + 497395866, + 3107153, + 748825575, + 731413961, + 465235985, + 255669190, + 119253188, + 286309266, + 514654832, + 403118878, + 153962305, + 734465926, + 897969513, + 876218337, + 424556148, + 865559186, + 858128903, + 816470609, + 623725530, + 28671387, + 811622071, + 340023043, + 67653398, + 259560838, + 528559547, + 302614226, + 843356540, + 528213414, + 787376593, + 624363934, + 861175746, + 732385330, + 691425954, + 452274065, + 868411829, + 828348924, + 699045547, + 239737143, + 964540669, + 92293279, + 159939784, + 379890015, + 135661886, + 334895896, + 94000218, + 609174573, + 230248439, + 330328849, + 94842560, + 339637926, + 67873318, + 988944887, + 878506567, + 19794548, + 995470246, + 666084354, + 25579417, + 551239335, + 105019642, + 318202489, + 56476001, + 259533942, + 869954844, + 598344990, + 280861458, + 478895992, + 291294099, + 639964119, + 499907884, + 953428619, + 452867496, + 616216540, + 964507910, + 360486256, + 149818312, + 978921988, + 63549404, + 880177684, + 59325767, + 105141560, + 85447942, + 45105319, + 40611515, + 671745231, + 521846637, + 445650881, + 896525484, + 645681992, + 120681477, + 845589659, + 693705759, + 751179002, + 414504541, + 404635932, + 650645753, + 60233135, + 150991810, + 153508977, + 935103259, + 612537078, + 744874571, + 315336833, + 596066484, + 946366709, + 691265672, + 249006225, + 151100770, + 973627096, + 679801847, + 779792602, + 609946083, + 47012720, + 468385780, + 878252609, + 358464170, + 119610670, + 94491688, + 297033986, + 272684836, + 699605465, + 78903846, + 45448882, + 580452385, + 468023517, + 156289568, + 300256527, + 482437761, + 210553345, + 732433437, + 475611942, + 222760217, + 660519680, + 960968145, + 743088201, + 934102399, + 822950111, + 467904702, + 955851820, + 629357975, + 741229226, + 898602388, + 349341477, + 323877098, + 3370871, + 981589194, + 362809749, + 418254680, + 146071819, + 761196847, + 530555833, + 94218756, + 39687439, + 74610854, + 700708611, + 235963412, + 720409100, + 739320716, + 139380333, + 20883922, + 598956445, + 673946598, + 577984877, + 719561268, + 318332982, + 264908801, + 830120205, + 414786847, + 359981680, + 712490848, + 782559216, + 342884817, + 788483469, + 150667055, + 515161439, + 830993671, + 131180703, + 653233033, + 199932422, + 998782256, + 550851713, + 56702765, + 889107210, + 105835060, + 365878083, + 994724248, + 701578689, + 998097250, + 696739399, + 977726160, + 589951820, + 649439579, + 53841862, + 593943647, + 641539068, + 64337365, + 422643129, + 152695446, + 770144832, + 799898377, + 24948396, + 138520954, + 852892894, + 97623505, + 408991769, + 611441866, + 528759384, + 513815251, + 766410895, + 822196014, + 472129302, + 480211517, + 601538422, + 826405944, + 5965991, + 89425933, + 611367626, + 42250955, + 304156653, + 191240172, + 732400231, + 327439064, + 900906822, + 71728537, + 426469625, + 589779995, + 192509071, + 302283674, + 157617849, + 516696474, + 678485157, + 281091661, + 329454561, + 95268910, + 644153521, + 94801079, + 855841794, + 222102572, + 334804812, + 827990203, + 31726390, + 866361833, + 58866571, + 916363208, + 769650200, + 951277649, + 299075917, + 995494051, + 417447917, + 884690628, + 46450626, + 361101810, + 159444281, + 434850816, + 713763804, + 257559431, + 265050242, + 192719451, + 871707400, + 625850660, + 331333056, + 609134780, + 803065440, + 294130503, + 792732845, + 560797148, + 905037609, + 801867836, + 913745298, + 517538610, + 11306582, + 11666448, + 429951744, + 35232843, + 313001341, + 524616045, + 960683793, + 276379506, + 321856629, + 534291179, + 822493383, + 488501677, + 580355544, + 989899512, + 574860184, + 719093185, + 879851375, + 731772308, + 516089241, + 772815674, + 185736545, + 208002740, + 837692494, + 796014127, + 932552741, + 729162581, + 109205588, + 518288738, + 400827588, + 893633517, + 320080539, + 582645896, + 371475886, + 422654542, + 482153896, + 331995211, + 103757570, + 424415355, + 301025149, + 750063904, + 166319671, + 667304843, + 816573121, + 58614808, + 294025297, + 829954656, + 551841013, + 113440689, + 98135134, + 128442058, + 71580984, + 168569526, + 115651252, + 134326576, + 381249905, + 123220264, + 140430226, + 303237503, + 824129782, + 341293914, + 152899672, + 76031228, + 448212723, + 665643043, + 264824205, + 741073356, + 895049321, + 871199102, + 998934237, + 995097557, + 129637324, + 984643534, + 775932383, + 152039893, + 825483102, + 860267048, + 490333641, + 21540183, + 343160933, + 936014042, + 201599371, + 950713498, + 488990359, + 332827180, + 866462513, + 897289942, + 568656003, + 737351142, + 800828306, + 96500538, + 61945808, + 594716179, + 782642897, + 627804663, + 710504208, + 584172822, + 256010072, + 27171885, + 725391444, + 728620645, + 675682741, + 922224046, + 555625819, + 786157190, + 178274876, + 591567902, + 834799983, + 797605070, + 912854415, + 468355615, + 587849032, + 141148822, + 949111403, + 64487515, + 330851688, + 703273305, + 795845490, + 949830945, + 636592816, + 576956323, + 913065648, + 53300688, + 828014535, + 628294855, + 776258188, + 471283132, + 175228700, + 427002246, + 357022566, + 86826134, + 750971578, + 752503690, + 747879904, + 729587557, + 57194809, + 148114144, + 705564294, + 780724888, + 44658409, + 376553807, + 351010051, + 827314634, + 223014764, + 972283383, + 444532966, + 824418069, + 88457936, + 872443682, + 114913775, + 83977637, + 764653092, + 231165011, + 20608681, + 177179856, + 267600585, + 267258902, + 626287775, + 708405250, + 817412727, + 382852014, + 420678103, + 339265904, + 943198643, + 611435473, + 530885073, + 868538150, + 15034382, + 729507749, + 951349260, + 317900535, + 51617915, + 907449103, + 928113628, + 528236094, + 283684244, + 756989197, + 677110172, + 842528857, + 889744181, + 594318087, + 726488815, + 862874197, + 489493965, + 489405934, + 67316597, + 98866000, + 285109940, + 361527616, + 400488779, + 806982986, + 356298196, + 376818697, + 843921425, + 921633233, + 836106511, + 934971888, + 752868871, + 264423151, + 693592679, + 138937614, + 502928325, + 963975450, + 33086503, + 182449377, + 774308940, + 883844529, + 589414649, + 487075898, + 548397798, + 252721690, + 450578829, + 670608699, + 173629403, + 191237173, + 669250687, + 532737872, + 516603373, + 753751091, + 677944924, + 221484645, + 112892554, + 547682133, + 966889915, + 92134416, + 322828514, + 188733628, + 988471745, + 584157224, + 248507846, + 760369427, + 726614340, + 168240441, + 123065783, + 300883366, + 139284667, + 14223461, + 698713370, + 835325969, + 82504760, + 830603341, + 273654735, + 164417465, + 769240417, + 577140326, + 202966501, + 753934918, + 140700605, + 429454516, + 741922316, + 432134883, + 320797171, + 175764515, + 506445799, + 402213870, + 896134005, + 656069329, + 549232042, + 45606345, + 71531685, + 226150096, + 960447635, + 349492954, + 946423836, + 170700562, + 553412817, + 697965710, + 275628366, + 333726328, + 614147994, + 497438148, + 410207591, + 142940450, + 603738661, + 13058948, + 817686875, + 407495698, + 346128302, + 264338939, + 888092064, + 932054891, + 603764741, + 528540693, + 356277685, + 251656572, + 618356585, + 967637438, + 247402217, + 849212558, + 349216835, + 554656824, + 541840395, + 195022282, + 672612999, + 623597166, + 336349675, + 285410162, + 942418666, + 915617831, + 70493441, + 982780213, + 655809856, + 493168926, + 43931639, + 537368858, + 685667438, + 351755460, + 211006045, + 539548235, + 691901067, + 55877949, + 673336879, + 780073805, + 433563414, + 624941405, + 769235186, + 141023366, + 446281745, + 857415853, + 574153216, + 949938974, + 742026155, + 975112426, + 196065775, + 261011361, + 755281867, + 928212881, + 388180840, + 678268799, + 502221460, + 412393671, + 95127732, + 31814485, + 182618077, + 347339558, + 761042505, + 573728198, + 593378980, + 434016377, + 556261263, + 694166949, + 190858242, + 727246081, + 172554208, + 372745953, + 90342500, + 940558536, + 918136389, + 229006550, + 692583747, + 142118027, + 904519239, + 619156448, + 592324657, + 832848281, + 210934199, + 128334353, + 63168295, + 298310796, + 761136679, + 91230637, + 53501624, + 946698290, + 217902075, + 306020741, + 565770264, + 577575477, + 897944639, + 456642087, + 338732458, + 947033887, + 449146166, + 126142435, + 22221990, + 921990494, + 258822261, + 622657386, + 643422912, + 807370080, + 522211941, + 303364678, + 417068326, + 423294127, + 629851895, + 95038696, + 794001714, + 219637, + 31008864, + 134397553, + 318956349, + 268122997, + 544785274, + 312883401, + 805836641, + 514963266, + 136136417, + 322746437, + 441113787, + 823098437, + 568681696, + 804967323, + 812299290, + 143847954, + 531427634, + 553142495, + 9459599, + 241792518, + 40585455, + 496989631, + 926704891, + 9822542, + 64754155, + 822874185, + 595045929, + 319539296, + 709488235, + 884197732, + 738723580, + 475067370, + 287698433, + 808544423, + 87884813, + 596286810, + 642756151, + 554722445, + 2779158, + 218717735, + 47228779, + 972389851, + 285158769, + 476159527, + 397943531, + 523867996, + 470831300, + 283735772, + 15848437, + 667473104, + 410508651, + 69400047, + 126264693, + 809778158, + 303060091, + 631120722, + 733608557, + 798846594, + 655257041, + 773116415, + 124383577, + 344293351, + 904901004, + 56600756, + 299740642, + 615358537, + 856973810, + 75235638, + 352503810, + 115082218, + 146339258, + 254524457, + 470189527, + 268326922, + 293783467, + 718481027, + 564772932, + 63126580, + 468300839, + 6633465, + 490367776, + 415715401, + 69765036, + 150012818, + 454308105, + 575839271, + 467482441, + 211098170, + 893693939, + 119992600, + 198534530, + 711993977, + 902632498, + 129365800, + 620292065, + 581547336, + 371526047, + 85976173, + 73713517, + 78560297, + 346978601, + 894652122, + 281440884, + 630950779, + 755801081, + 668858972, + 865477231, + 587203476, + 303366998, + 811551394, + 61659372, + 287162279, + 877457710, + 722568882, + 948636325, + 53564515, + 467661123, + 828566169, + 411419545, + 486433131, + 951208570, + 43124601, + 794505997, + 489742510, + 804884823, + 496114816, + 311906294, + 9576813, + 194314961, + 517559527, + 701904527, + 883613989, + 112829514, + 717714656, + 318652662, + 278820780, + 191625563, + 783270433, + 736548973, + 562367511, + 569749347, + 227848464, + 395119015, + 420756645, + 412714517, + 644467195, + 576469676, + 184266146, + 95941775, + 567418534, + 652941148, + 14065729, + 873606470, + 61674248, + 654846992, + 320056500, + 68495554, + 150754609, + 547746910, + 492669687, + 40560917, + 582063822, + 998873529, + 910233424, + 920299036, + 956180933, + 747324718, + 513983214, + 948699255, + 415911326, + 887714907, + 399666852, + 262209895, + 137511767, + 21208737, + 4210592, + 630028752, + 955730276, + 388998258, + 635081035, + 762499544, + 582570370, + 849637818, + 354632333, + 842977837, + 848076687, + 316064094, + 686820993, + 33759547, + 228876521, + 778579829, + 997985999, + 196216182, + 198146581, + 984510375, + 852295143, + 350541383, + 387254037, + 588995288, + 86947537, + 394365331, + 37874217, + 725843917, + 237799100, + 267591845, + 617533426, + 931253701, + 506931874, + 394113497, + 920463756, + 829137669, + 543907280, + 374341917, + 965190496, + 182471688, + 716243882, + 944548529, + 400093572, + 656860457, + 159490958, + 414433658, + 1133657, + 771175763, + 954898280, + 648763463, + 108282510, + 870034242, + 194642228, + 591411907, + 360162705, + 795994594, + 721490235, + 260268071, + 725641022, + 80553166, + 25847589, + 574976269, + 17136731, + 954794822, + 8465676, + 475056644, + 302649761, + 366454725, + 591774324, + 114862902, + 263279541, + 244898666, + 361204725, + 944713531, + 100888005, + 214329173, + 612593548, + 521593601, + 956642071, + 533104985, + 283999536, + 343045808, + 503727083, + 814164924, + 524022532, + 161235165, + 11798242, + 44426795, + 701663488, + 370962338, + 638459874, + 492856060, + 838674304, + 812038642, + 55502718, + 240080629, + 652013645, + 451130556, + 665005986, + 547826364, + 69724787, + 603978111, + 150045688, + 473450658, + 950041346, + 962759669, + 192453746, + 534437591, + 545862325, + 54804488, + 757185229, + 485566262, + 642607902, + 464674466, + 147738764, + 42068905, + 300824919, + 151519516, + 996504159, + 694330035, + 897147263, + 488329747, + 805576373, + 482721717, + 606210396, + 428908346, + 355132124, + 257022813, + 662623421, + 875381851, + 244292817, + 917456975, + 718227056, + 529976905, + 761286582, + 384366749, + 581305999, + 748677229, + 100648155, + 735620290, + 553535127, + 23160075, + 454131603, + 456290676, + 374210151, + 534624394, + 809741368, + 503636351, + 864984530, + 857384664, + 110950737, + 217686264, + 241262217, + 455933334, + 439397140, + 695086678, + 900585424, + 419653073, + 496746247, + 764354511, + 617824397, + 115785168, + 447042137, + 738205803, + 530945607, + 400830511, + 875289412, + 478543662, + 373509604, + 7672992, + 246206958, + 100028727, + 209074313, + 101382148, + 78419105, + 703193780, + 968533612, + 111944858, + 448566225, + 776521228, + 38827038, + 354604231, + 310912124, + 826430618, + 484923211, + 570647226, + 745846639, + 633507417, + 983540307, + 52117726, + 165372006, + 5775868, + 134944571, + 642328868, + 941041311, + 134960166, + 940278931, + 749347680, + 152168028, + 110984637, + 598991297, + 905839151, + 779311459, + 896963765, + 4282197, + 191336787, + 269129671, + 592492463, + 954936531, + 635168074, + 612409117, + 358324670, + 33578788, + 854618250, + 747053158, + 265920331, + 280301242, + 289853830, + 413724106, + 188826467, + 880353526, + 373097002, + 614778318, + 778827379, + 659981504, + 182396473, + 717899527, + 842626294, + 369947426, + 140034790, + 283128122, + 344448421, + 688616258, + 152415190, + 368847622, + 652677586, + 281153275, + 837251103, + 659045755, + 569329682, + 429278987, + 1937114, + 184548951, + 382714166, + 699350214, + 833387479, + 453922239, + 472901197, + 706434259, + 10495759, + 474278570, + 52246564, + 795643674, + 804915740, + 361127791, + 115215691, + 3659034, + 828203175, + 885067979, + 503459643, + 603548659, + 731404805, + 302215672, + 629501643, + 547490664, + 681029574, + 223672637, + 198429442, + 987594348, + 780921858, + 33238126, + 70882342, + 28960598, + 648602541, + 286610183, + 840856646, + 237257814, + 29741226, + 519370401, + 142946131, + 715272061, + 438169917, + 68560476, + 293986268, + 911004525, + 402964136, + 659897726, + 569516052, + 596755939, + 437859971, + 239105066, + 458501178, + 743391695, + 76354951, + 672207912, + 974431681, + 464181423, + 147066931, + 848452465, + 470922437, + 659651420, + 204842960, + 518133525, + 935672977, + 15065899, + 816346509, + 789754234, + 450282096, + 20470941, + 740578332, + 298747023, + 712798324, + 382640065, + 415431159, + 324319080, + 529754781, + 95394586, + 190017515, + 912035468, + 936131239, + 680381125, + 706296747, + 697084209, + 836346002, + 971856503, + 123851213, + 175528082, + 60801199, + 457623982, + 365232791, + 610893375, + 23826318, + 705936275, + 297049962, + 909850050, + 452714550, + 916202701, + 251705112, + 790817448, + 401410453, + 529136746, + 599232551, + 704276247, + 714104136, + 422648499, + 309706145, + 608901045, + 367096940, + 892327671, + 764897778, + 228697170, + 360421136, + 486239854, + 808690388, + 731491589, + 137614323, + 533589587, + 357539280, + 394853151, + 759705304, + 32986699, + 873239439, + 126853231, + 991454255, + 95857925, + 792929905, + 862692323, + 155476384, + 985639271, + 68435055, + 969455727, + 487342747, + 230453217, + 422524699, + 607980322, + 143061150, + 718791669, + 201023791, + 569043225, + 756178920, + 88431838, + 964198974, + 321569686, + 968812864, + 941890734, + 163057106, + 454965134, + 641361341, + 227345038, + 354460082, + 709819714, + 222731518, + 832815951, + 619780665, + 699169121, + 219023076, + 361645020, + 643363697, + 766594352, + 689353822, + 25366558, + 441616564, + 906392129, + 183330636, + 479784953, + 130806224, + 437021985, + 964564269, + 120580864, + 167622785, + 761534006, + 226720790, + 442433093, + 661978919, + 337614030, + 399867004, + 205678868, + 391467624, + 675966443, + 658882310, + 589196965, + 905733, + 396088188, + 919768945, + 211762684, + 867984958, + 772392522, + 242953552, + 503705591, + 616618325, + 887244535, + 264527228, + 627215691, + 268067873, + 394370004, + 714709657, + 860538255, + 470087594, + 29122963, + 733404065, + 855207245, + 588718411, + 926776356, + 382731419, + 803974120, + 830021928, + 493718260, + 932561944, + 954116526, + 370174112, + 550630790, + 925257379, + 398457061, + 26234442, + 123648414, + 731936633, + 329938704, + 432349310, + 112057391, + 489851845, + 91275071, + 60051596, + 247216770, + 297912447, + 135652529, + 869555488, + 163554468, + 682523289, + 626339069, + 620024533, + 638860030, + 525539335, + 104397441, + 44907547, + 560383259, + 538643650, + 770193228, + 421007130, + 102030749, + 51062469, + 456874056, + 40340720, + 566975712, + 592700677, + 20994768, + 971951699, + 801224666, + 892946094, + 701127980, + 970526791, + 130981692, + 406238794, + 125611834, + 520466253, + 757168217, + 839970955, + 112422811, + 937290285, + 465541821, + 155842166, + 349222602, + 3220927, + 10054001, + 140232670, + 152722708, + 838448122, + 751930641, + 49564261, + 127942543, + 853753919, + 504541501, + 23599843, + 450562268, + 458043077, + 234790446, + 287564331, + 175840019, + 531268895, + 469574412, + 809411734, + 223960322, + 267875077, + 748105675, + 327666555, + 418161294, + 966247641, + 256488127, + 576054959, + 772787653, + 783983961, + 378629609, + 960047300, + 392476366, + 932461177, + 796796230, + 453472823, + 102688653, + 370008857, + 807312098, + 543768454, + 490931575, + 772721807, + 317837000, + 652611084, + 829044480, + 740554289, + 57236664, + 438478706, + 442963180, + 839103640, + 423026026, + 975697732, + 709150590, + 138371458, + 132007616, + 654274111, + 702687230, + 987729992, + 290086818, + 496073391, + 350577862, + 986085278, + 412829401, + 891902960, + 728976629, + 93786959, + 480675727, + 961010631, + 524213546, + 105786276, + 309969094, + 675935740, + 672996396, + 88508491, + 62667275, + 232848785, + 342476201, + 445190547, + 596047024, + 219420736, + 297190484, + 386066145, + 645430525, + 851345879, + 730792331, + 603379070, + 529387594, + 86684583, + 715110599, + 937648075, + 565471845, + 864475769, + 347386294, + 703453078, + 704594433, + 404707610, + 697299398, + 838907644, + 265789536, + 191673419, + 218721085, + 562130375, + 642817703, + 793708851, + 314465899, + 392693108, + 289083822, + 247862464, + 901650367, + 254481091, + 164175357, + 616082678, + 204875023, + 548526858, + 824321192, + 667884015, + 570298097, + 119079989, + 426905998, + 176878247, + 359361120, + 189325478, + 6878874, + 624000141, + 118733127, + 727540637, + 492024715, + 278843100, + 678556790, + 365137696, + 615515746, + 693916281, + 116252489, + 692473908, + 436913683, + 575652790, + 941932312, + 207692389, + 53285816, + 688945837, + 982714410, + 271796105, + 830735764, + 648412282, + 250903187, + 831908222, + 357191174, + 49310981, + 954310834, + 52108506, + 872961349, + 33324033, + 789036529, + 526561389, + 29670325, + 632436692, + 878700696, + 147059711, + 535970737, + 266589239, + 831254457, + 602574447, + 806757038, + 639700664, + 69907060, + 468382280, + 453122403, + 132288748, + 29105443, + 338314891, + 628393012, + 901686238, + 784377188, + 100570552, + 610189182, + 430972347, + 861731829, + 658126804, + 980400247, + 546581738, + 908287644, + 658940109, + 386357455, + 411150701, + 231618444, + 661489681, + 970601893, + 667085880, + 524724372, + 810913997, + 563686675, + 203601584, + 120633776, + 805026761, + 558720445, + 864665729, + 427431188, + 922187669, + 661693117, + 201429177, + 889821157, + 931000381, + 632507316, + 69329096, + 997956290, + 466029771, + 63699567, + 35034940, + 423349924, + 99624454, + 139071617, + 416895479, + 185402925, + 894324790, + 136194422, + 338685815, + 857809596, + 659240085, + 95335519, + 433286985, + 347115737, + 999106925, + 855941696, + 367215628, + 293295819, + 298963181, + 778810963, + 573089352, + 970619900, + 816635811, + 281601799, + 394834303, + 555777164, + 109927505, + 97724979, + 866206780, + 907187972, + 389337332, + 474535122, + 277084950, + 959474109, + 721761588, + 164702149, + 800445289, + 290702744, + 695973477, + 449931174, + 95643240, + 772415936, + 813820160, + 957781385, + 242240273, + 112522169, + 884455510, + 993321311, + 39795590, + 149671289, + 294133110, + 947000117, + 676117910, + 657735818, + 331402061, + 36948144, + 887703781, + 608279358, + 966428039, + 20701351, + 52542442, + 842539891, + 593601247, + 636541334, + 723032402, + 947120076, + 474925260, + 301020493, + 274564763, + 541685835, + 823641499, + 497184504, + 219768064, + 85515020, + 559231929, + 518269849, + 509268664, + 567646171, + 781124565, + 757331478, + 800909006, + 387308409, + 318239624, + 785295799, + 129574641, + 484317987, + 530026576, + 669413867, + 285812755, + 842786585, + 105008725, + 388856408, + 354423872, + 933367852, + 568619890, + 432008061, + 107277729, + 62540403, + 717610896, + 200272092, + 367271670, + 530939253, + 875652406, + 120878733, + 171414619, + 672178448, + 312564906, + 781909090, + 330132873, + 960441181, + 208956082, + 138966619, + 695759545, + 491780377, + 175834485, + 922150690, + 674387961, + 759811736, + 613385073, + 38338809, + 625477122, + 686819443, + 300896012, + 966998277, + 782173044, + 804873256, + 237465721, + 460661085, + 686025481, + 907903644, + 371320905, + 325462464, + 649781438, + 112005930, + 303600462, + 795469145, + 66217737, + 561108682, + 870192785, + 819196033, + 266068207, + 794062450, + 555083808, + 545661654, + 682637105, + 979593736, + 379620528, + 196755378, + 253724380, + 819565264, + 326976332, + 355735355, + 471721333, + 402298661, + 675198106, + 243027719, + 622363488, + 326616790, + 574204079, + 140618438, + 640066821, + 403362363, + 350068111, + 376703477, + 610718222, + 527006658, + 982042598, + 150158756, + 108375069, + 620829874, + 956632682, + 234044081, + 972564362, + 448918582, + 401740556, + 347301825, + 962301343, + 621662735, + 433703259, + 540042530, + 168082820, + 572623933, + 303334385, + 785167053, + 42924731, + 174666671, + 995706698, + 417450989, + 950130297, + 642052011, + 406872128, + 424214957, + 366556661, + 69574083, + 25129815, + 848261659, + 118751441, + 286325278, + 315799630, + 336618553, + 313018489, + 284212089, + 132612650, + 855062558, + 180634887, + 628077339, + 848213984, + 653218421, + 75910787, + 110468337, + 696378126, + 367146327, + 99432321, + 205334279, + 778383678, + 780275519, + 865482323, + 961420622, + 465121525, + 841010558, + 359935239, + 574182188, + 934169253, + 16010236, + 423399674, + 225236538, + 196592483, + 287534722, + 112239001, + 842869156, + 160108472, + 222383377, + 727296912, + 205079554, + 94492128, + 371827163, + 268386225, + 268180249, + 761197952, + 906237738, + 635121138, + 10269875, + 97885476, + 451404423, + 450642449, + 383977952, + 187141740, + 837252430, + 24575693, + 896151168, + 262739269, + 206000686, + 317293327, + 273856737, + 993033791, + 159801720, + 33657334, + 630165423, + 731909319, + 224567786, + 392270465, + 47647798, + 239892797, + 709632602, + 205625974, + 490068683, + 859456672, + 880770659, + 420305433, + 673332038, + 96917693, + 793673224, + 743588899, + 280262453, + 281982897, + 850715526, + 12004626, + 259523749, + 427375317, + 796845692, + 595169865, + 395898449, + 469756066, + 577620256, + 485891404, + 605200077, + 733177340, + 555808747, + 330965340, + 548131477, + 590938568, + 544604312, + 660166928, + 140285880, + 60953882, + 751856114, + 996918242, + 445216051, + 298328478, + 144501400, + 441944593, + 718209605, + 908966979, + 839703924, + 528194701, + 709884883, + 610284515, + 115247912, + 257248906, + 462729124, + 627231771, + 633321558, + 229348978, + 771555959, + 456619655, + 77549645, + 582044302, + 439124494, + 167071770, + 679736238, + 882106808, + 64734308, + 533294118, + 722092405, + 541160376, + 703632646, + 48701150, + 372328693, + 993184002, + 680391953, + 489764894, + 165009951, + 969111854, + 856849763, + 204636472, + 228411938, + 118342664, + 813410269, + 998104264, + 354246516, + 963104919, + 496518901, + 653532428, + 105712215, + 335385511, + 285794185, + 954592489, + 793551527, + 798988335, + 217626587, + 602888702, + 295637374, + 396148892, + 474750642, + 826485485, + 196684406, + 332184133, + 930592752, + 250384371, + 714610663, + 361268909, + 370678984, + 142676247, + 538220894, + 46107117, + 142432983, + 971531768, + 548439584, + 214668513, + 326016672, + 5027246, + 58431796, + 547222747, + 658868972, + 605393445, + 724158548, + 940403317, + 474635136, + 149312970, + 334507321, + 627143110, + 257335009, + 634717859, + 649569138, + 69244685, + 804003568, + 675931402, + 934806865, + 368721781, + 186518658, + 462505082, + 35294739, + 227398121, + 691888775, + 762626198, + 734504209, + 874609055, + 311254525, + 114223945, + 873304858, + 341075070, + 79497601, + 331643330, + 178552676, + 298246201, + 866419667, + 188008153, + 942825192, + 933414426, + 455674908, + 182017047, + 627627334, + 597549539, + 28355614, + 222898578, + 73833485, + 964952915, + 901689015, + 373754801, + 825118661, + 391637783, + 472585219, + 780253683, + 367924946, + 376270106, + 474644709, + 302369796, + 271004407, + 28172173, + 966664699, + 203252657, + 946919434, + 727971588, + 2245589, + 760546598, + 887777704, + 737009565, + 916625350, + 414087101, + 529949093, + 543596565, + 543299444, + 145769779, + 480783324, + 449184693, + 291742723, + 658366796, + 889398709, + 363094617, + 288562274, + 821630406, + 259855167, + 512752487, + 562945598, + 338102200, + 644232214, + 256946394, + 633996642, + 525370661, + 33172455, + 908526909, + 174608876, + 554068394, + 985509835, + 940619444, + 555187999, + 908173027, + 974159985, + 114976058, + 26443441, + 403979630, + 633352508, + 466910688, + 931542954, + 401222492, + 453466288, + 214049533, + 508247630, + 278634399, + 349822103, + 781029547, + 645177876, + 414023679, + 512839350, + 169484490, + 412149050, + 33824288, + 957852286, + 529646199, + 741507457, + 503232578, + 772065963, + 892264370, + 8947406, + 82697908, + 137668095, + 2852904, + 849592349, + 497435310, + 98461172, + 771829780, + 25960744, + 886156581, + 473566121, + 86689860, + 129748377, + 510853179, + 333874183, + 523567712, + 10314556, + 249795431, + 411596729, + 598480288, + 565206805, + 569361279, + 159499535, + 953174609, + 230051657, + 919333609, + 980647090, + 996174497, + 30394299, + 874666227, + 409061092, + 442528317, + 222590525, + 583155077, + 519457494, + 414201369, + 144943668, + 124539816, + 693051880, + 776940082, + 90303098, + 721757588, + 758471085, + 953407680, + 655544558, + 591510798, + 495513662, + 965452220, + 15022080, + 995166582, + 386301220, + 137638326, + 848855324, + 297344879, + 913451145, + 73784982, + 622117731, + 844353260, + 802726226, + 724889948, + 994568335, + 21152400, + 17472044, + 563147320, + 713374492, + 56167206, + 278488908, + 846876624, + 200274917, + 209304271, + 157474056, + 407756049, + 138225539, + 606388947, + 765525192, + 471240380, + 735749073, + 49073890, + 814041990, + 134778986, + 29976989, + 307696311, + 174417053, + 4839077, + 186591490, + 734185409, + 331483083, + 618665147, + 463022931, + 38212157, + 815941539, + 559552845, + 901697239, + 959625709, + 856423847, + 573792099, + 65699896, + 773085021, + 559819778, + 389558730, + 694547450, + 563694396, + 911950213, + 723437554, + 455617952, + 556237108, + 677131646, + 470655810, + 624128788, + 362291335, + 696337115, + 4319286, + 789831112, + 102360593, + 223649622, + 409803996, + 558711791, + 56313319, + 410440565, + 93939562, + 102416715, + 91513326, + 645374271, + 22180918, + 689868287, + 995958262, + 6453145, + 225764248, + 214270274, + 35276945, + 609303617, + 77888362, + 333135070, + 747762253, + 647703331, + 632389298, + 170587820, + 692361252, + 897138775, + 756090830, + 331208404, + 186919925, + 556365840, + 849857942, + 255200726, + 518401486, + 301867575, + 246097724, + 751026341, + 536360098, + 682935868, + 798560937, + 975189162, + 514378573, + 948399580, + 400230170, + 413560152, + 79488268, + 972784242, + 769498350, + 532179632, + 602424392, + 418426470, + 3539060, + 796967963, + 934763581, + 275346060, + 723301022, + 400699809, + 71084551, + 200205405, + 137861415, + 814698844, + 476044897, + 809347015, + 957956574, + 198823302, + 656999627, + 74644300, + 802791591, + 308037515, + 7838495, + 440891184, + 693637365, + 336530274, + 842141879, + 992338849, + 186723046, + 305209539, + 945697929, + 829742248, + 716065220, + 942983692, + 873737553, + 523012920, + 757172731, + 483806324, + 556125032, + 156508460, + 275882759, + 92293762, + 83140028, + 512570852, + 544312639, + 366360895, + 381259836, + 326975252, + 765643759, + 160095817, + 825065592, + 411661040, + 249357137, + 13081433, + 958857723, + 278251918, + 513657861, + 355571752, + 670087476, + 767003174, + 944772127, + 650837151, + 427049776, + 6619270, + 367353703, + 203376636, + 306317891, + 1574219, + 194480963, + 391327587, + 379779312, + 357023064, + 619151102, + 480493038, + 453933779, + 872691126, + 258914608, + 510306916, + 278337386, + 23404686, + 121827592, + 135583285, + 980893634, + 157769699, + 418583658, + 584220539, + 384049183, + 780467381, + 23088271, + 142547309, + 625239537, + 400576925, + 421391225, + 832463617, + 738255232, + 338180208, + 96750050, + 505806364, + 138045954, + 724381888, + 759023841, + 391598403, + 949450267, + 925061045, + 198710580, + 35870525, + 972157244, + 549759582, + 476126217, + 236440135, + 306202374, + 408247920, + 20939764, + 891880006, + 85821610, + 167697328, + 90917284, + 16647091, + 499023241, + 959309921, + 874561970, + 586743098, + 23183194, + 69851155, + 467452296, + 920179680, + 204184571, + 227619017, + 534506631, + 920786040, + 408800887, + 960641257, + 202759317, + 3129482, + 663625693, + 105683528, + 356559967, + 503308842, + 592084717, + 384391931, + 834658799, + 686625514, + 993911238, + 4233577, + 727602095, + 79724211, + 297573747, + 750082793, + 353127545, + 785414509, + 704275364, + 453402488, + 764475194, + 314395510, + 132506997, + 679707030, + 2950757, + 54287386, + 390671123, + 803092079, + 744228693, + 54910483, + 610261248, + 654656278, + 946609052, + 948600754, + 303497517, + 440393258, + 414574996, + 872516198, + 295756031, + 556242573, + 371977098, + 409970020, + 831284447, + 624923900, + 985975119, + 657000350, + 796809078, + 405275155, + 465150582, + 925259853, + 776413105, + 132161166, + 945356898, + 487769231, + 319719393, + 845229347, + 278275799, + 21878817, + 465584490, + 501143136, + 152082008, + 342771820, + 692209063, + 550910239, + 500222992, + 784666242, + 374432757, + 509711513, + 442923378, + 918791562, + 88026796, + 479999925, + 478565631, + 85945059, + 607229273, + 128544788, + 873542187, + 679833668, + 459319239, + 4378744, + 279392415, + 775426119, + 177595002, + 692491534, + 806815161, + 241097352, + 971362104, + 730695694, + 533299300, + 231383625, + 794615852, + 719016719, + 629581107, + 544245684, + 358444154, + 884382902, + 466027572, + 232896593, + 164010543, + 13089982, + 599077283, + 136229046, + 879380041, + 978578789, + 170503282, + 30526736, + 311532317, + 248611557, + 996066247, + 578720273, + 665493614, + 359299262, + 667127102, + 320009341, + 740395305, + 323713355, + 372467819, + 726534637, + 148788761, + 571880045, + 470002833, + 991285981, + 162672294, + 972359392, + 53631243, + 203525839, + 834129429, + 852402115, + 813756719, + 565099541, + 223767809, + 283135344, + 783266576, + 467115260, + 92156013, + 774134729, + 90286569, + 91752391, + 325434656, + 484201252, + 502661200, + 17963587, + 587933611, + 888943045, + 202774448, + 824163467, + 661529510, + 549969382, + 388459458, + 345468161, + 164820672, + 638102815, + 654074007, + 802434037, + 838786049, + 364745838, + 183574684, + 518836746, + 776583100, + 228810515, + 563149365, + 798231663, + 288791524, + 642483371, + 104014997, + 381243014, + 705741351, + 584985482, + 25108804, + 624863431, + 825762092, + 137499178, + 468554989, + 414395460, + 515457067, + 122206856, + 784448513, + 728539177, + 295306060, + 363859037, + 236602550, + 916139484, + 135773389, + 650975135, + 786595446, + 124381352, + 907260046, + 689215354, + 858907925, + 891476390, + 898027518, + 983683609, + 606353435, + 174243341, + 102706622, + 33331912, + 295971422, + 555725421, + 257668599, + 436994948, + 491531244, + 122398437, + 127854539, + 598291067, + 152537069, + 980037062, + 610593887, + 713551254, + 992369022, + 261403728, + 768756430, + 910664220, + 716041643, + 13661757, + 466234970, + 308704361, + 286923188, + 284633760, + 818062871, + 99180722, + 37386448, + 195620096, + 567629247, + 819093708, + 668981645, + 801552231, + 284397150, + 797421926, + 941901552, + 419296890, + 197966811, + 600660709, + 67181366, + 648253750, + 670205920, + 250078349, + 80915482, + 233085261, + 384719762, + 651049756, + 614290614, + 224673359, + 82979171, + 29575154, + 141321246, + 993798013, + 24148588, + 684954283, + 579900668, + 130733510, + 321554542, + 618220794, + 92615640, + 618773241, + 88538172, + 457328573, + 291268588, + 917444124, + 48660565, + 988973394, + 370910908, + 926283363, + 253763461, + 111479641, + 338282730, + 895663909, + 312971088, + 26802, + 625826831, + 251084935, + 134430103, + 450886215, + 732464229, + 944456318, + 214377588, + 792241372, + 10195169, + 434024977, + 889394168, + 959038815, + 493498430, + 159745882, + 187006341, + 832341418, + 295586460, + 447514348, + 663361772, + 684314717, + 544418033, + 268355279, + 465353559, + 310855020, + 787686898, + 717205173, + 265020649, + 265354895, + 455483542, + 223868546, + 54040567, + 759652627, + 210444407, + 201354157, + 100774243, + 950337243, + 333931640, + 62284682, + 792180099, + 975101318, + 339204695, + 369560710, + 601305149, + 138113119, + 600665541, + 420811890, + 666523098, + 102407005, + 902331856, + 833403447, + 807673980, + 531414141, + 97647738, + 686497289, + 337605276, + 3300163, + 631877637, + 139439707, + 393694606, + 99315224, + 758208580, + 250984328, + 803269462, + 595276078, + 451522512, + 514540661, + 579881401, + 337902242, + 556887527, + 453280464, + 472095347, + 106214487, + 276030758, + 806314708, + 922010400, + 481683855, + 730166131, + 404054580, + 892682360, + 370564146, + 809637049, + 345209813, + 858425314, + 657326976, + 116948054, + 176797671, + 251918468, + 342004658, + 231406095, + 331364575, + 816159566, + 290262053, + 956496110, + 127412590, + 471176664, + 822506870, + 43834425, + 310456497, + 504823090, + 546240870, + 351208080, + 947681731, + 754246139, + 119057926, + 668268388, + 584597641, + 988090613, + 662140513, + 359528532, + 227476437, + 133257393, + 495041862, + 266905265, + 301026194, + 947678438, + 257662721, + 982073974, + 295894169, + 868148526, + 472823335, + 869859722, + 625124031, + 801839136, + 106286369, + 149793645, + 143872614, + 108376176, + 867941587, + 394752399, + 296892083, + 138559861, + 122262037, + 593001734, + 168734801, + 403268192, + 758112454, + 561077742, + 390606545, + 986669232, + 73370146, + 573465117, + 768191714, + 888590742, + 328220577, + 168111959, + 765989875, + 339660218, + 904441032, + 122691831, + 949037364, + 227891367, + 783567634, + 13892948, + 327691837, + 784244859, + 12815698, + 863503987, + 466393187, + 346145548, + 189597770, + 495948258, + 303367441, + 233534124, + 966071524, + 810083228, + 754757336, + 54611188, + 244848272, + 521553738, + 827454909, + 242223845, + 297953298, + 621936864, + 221192911, + 318038105, + 872029634, + 359305896, + 404101629, + 634749021, + 688597408, + 70412030, + 712712142, + 774793097, + 268511917, + 550139353, + 372592064, + 635103994, + 865727217, + 349983406, + 808193263, + 772684515, + 58944972, + 865841330, + 471911518, + 361147468, + 868763358, + 388469449, + 615269031, + 885875666, + 213289918, + 117169359, + 277096870, + 545184653, + 182775700, + 107907808, + 443568105, + 272949977, + 270747017, + 355312362, + 471897144, + 666390772, + 273942938, + 800690995, + 466265555, + 348609147, + 322974393, + 747861409, + 103344933, + 660685071, + 904261827, + 918037482, + 596757481, + 79950356, + 362780382, + 992067425, + 717369502, + 900405206, + 663468374, + 278080927, + 517587678, + 468955754, + 447455789, + 885275224, + 593299556, + 638006671, + 51050550, + 36377101, + 495761980, + 372314190, + 724540660, + 141606417, + 922875376, + 955449348, + 76270425, + 321658324, + 967025527, + 584385402, + 253571850, + 608759072, + 897395378, + 725180150, + 184505949, + 775218817, + 305677702, + 4249027, + 119941715, + 356379691, + 353495162, + 425620857, + 999006031, + 942800208, + 896273841, + 148828740, + 946058667, + 548405301, + 384402566, + 140651797, + 339696053, + 946172680, + 314794629, + 220722210, + 402506901, + 283906492, + 780616666, + 869936848, + 772997994, + 629147349, + 296655722, + 243536409, + 819533180, + 266234875, + 226489337, + 839776144, + 693017088, + 609817284, + 315111464, + 884664545, + 155353037, + 310877300, + 54680380, + 196773358, + 556774326, + 984740972, + 758431238, + 560064538, + 772181737, + 754645810, + 859373576, + 233027191, + 959695229, + 981614352, + 263009133, + 779963901, + 256483823, + 158677668, + 821822801, + 719531110, + 947140072, + 320394444, + 944087041, + 819255565, + 112474578, + 405704144, + 78412140, + 938909254, + 516732926, + 171326552, + 974408022, + 527904500, + 696379985, + 522391966, + 424719125, + 289937346, + 730673738, + 319431875, + 586858522, + 382900841, + 989907670, + 56152252, + 545913740, + 325102629, + 224137763, + 715427767, + 410920728, + 144374780, + 265078724, + 154050584, + 722178525, + 165020842, + 345503463, + 467229867, + 254185388, + 988900710, + 255605861, + 469533240, + 956735214, + 403077779, + 456081089, + 455794876, + 260481917, + 577925696, + 332012544, + 838022769, + 500049551, + 774286573, + 475862096, + 276106977, + 358111800, + 676246962, + 654203067, + 437049944, + 12343988, + 222032039, + 870712925, + 407377266, + 445994122, + 5642683, + 838407745, + 90643359, + 280419648, + 478947794, + 88880796, + 829822973, + 353748394, + 550935646, + 928319945, + 503834001, + 33974940, + 505590641, + 554543757, + 828240673, + 696791165, + 730512859, + 950348201, + 658043834, + 359181896, + 931219992, + 275312372, + 151770524, + 103768511, + 448183007, + 216760426, + 984856591, + 352680696, + 371634069, + 752356780, + 334591065, + 295883632, + 241791724, + 925049392, + 917605542, + 683416392, + 850228974, + 703119618, + 371370292, + 417555927, + 976414893, + 6472918, + 195166222, + 330715471, + 699646676, + 817281196, + 252278408, + 477550153, + 461256178, + 852412563, + 902199106, + 935934061, + 575260093, + 35434871, + 953915916, + 253138290, + 472056404, + 313837256, + 72522519, + 796715584, + 58964419, + 111494638, + 485520295, + 105894144, + 54586550, + 434508842, + 502390445, + 620593083, + 975672477, + 559517397, + 609179108, + 381114569, + 973594239, + 725484197, + 363313997, + 79883418, + 611684850, + 357585828, + 447136560, + 264400872, + 954723997, + 790610302, + 439964188, + 965284268, + 938234570, + 914516363, + 394196949, + 215962244, + 844699301, + 131243425, + 91110073, + 350129940, + 277181735, + 590367044, + 888674790, + 485662094, + 703094325, + 796067001, + 998124898, + 772924450, + 630491161, + 156117716, + 75823054, + 439437286, + 887856852, + 605806396, + 479044049, + 302009688, + 555824465, + 40572426, + 489316764, + 755690364, + 539470819, + 80812225, + 852597923, + 852018563, + 207989195, + 183121247, + 574248282, + 400263922, + 435233398, + 824490208, + 936536038, + 747692871, + 747906712, + 271034753, + 879750480, + 669375186, + 119591854, + 601984589, + 496812852, + 326789969, + 949256616, + 687254448, + 795797134, + 474455365, + 767467938, + 233133495, + 619067151, + 887235075, + 141798306, + 750546489, + 142636726, + 774935494, + 979394862, + 79437563, + 804039136, + 408399476, + 888838413, + 887271389, + 906435468, + 410549220, + 367148067, + 413976139, + 58221986, + 232380209, + 452369661, + 526912077, + 519022527, + 882351753, + 376551583, + 721360600, + 747371498, + 584547196, + 961394834, + 771346663, + 362818828, + 339986708, + 495936294, + 385771104, + 879230702, + 12020449, + 945487270, + 464708101, + 595951949, + 656603673, + 287565064, + 326525678, + 482604859, + 250785428, + 636034396, + 404194865, + 990190974, + 986600513, + 419457408, + 199323530, + 748779030, + 126144563, + 241888055, + 773980032, + 114079140, + 929741969, + 89693477, + 569469818, + 415866137, + 740816017, + 944457991, + 874613185, + 849528284, + 512865830, + 294796116, + 23133401, + 884947423, + 362148252, + 735407733, + 612559768, + 744346524, + 372511214, + 181228619, + 810877410, + 245586023, + 488665387, + 237835358, + 432038671, + 539149179, + 497815533, + 268915788, + 971576576, + 579362576, + 301064230, + 290176860, + 917033266, + 29462485, + 388234197, + 72191565, + 440941601, + 515626844, + 936297964, + 103111143, + 51079081, + 364754912, + 525723310, + 88979747, + 552616985, + 917621957, + 266733375, + 305434047, + 136070240, + 489539969, + 642850763, + 872367951, + 686086960, + 828421532, + 365331063, + 102483794, + 396206422, + 33486691, + 332187138, + 83007141, + 682193845, + 552803748, + 705754424, + 507223092, + 720940783, + 477006305, + 809845547, + 777064072, + 577252368, + 54622512, + 224781675, + 267060696, + 99281235, + 498912793, + 18627661, + 262626234, + 456567614, + 927211208, + 378717932, + 848699014, + 582444389, + 628876469, + 707145107, + 248622053, + 388768778, + 406682354, + 642143062, + 999840032, + 576634783, + 12264605, + 639221186, + 355541179, + 282648908, + 116899253, + 753101205, + 996055470, + 162668930, + 385589386, + 712253667, + 546639391, + 641644389, + 777408898, + 380435078, + 353768552, + 775343338, + 222060269, + 940450664, + 737215033, + 969157217, + 84916151, + 283949064, + 60154463, + 417277305, + 273246735, + 734961966, + 621382468, + 618688373, + 170397794, + 712492837, + 122209589, + 766832737, + 886727592, + 611655309, + 215534548, + 905816354, + 28142860, + 672737754, + 246052577, + 954463651, + 355829875, + 774761167, + 761926427, + 939909337, + 246542781, + 256053330, + 157790335, + 756201140, + 518328367, + 824000285, + 743869178, + 403400113, + 456646391, + 437482792, + 137225002, + 373226478, + 463566988, + 535256814, + 942209421, + 633521950, + 597698796, + 702827799, + 97708850, + 228532632, + 230312030, + 613435474, + 110817923, + 9051069, + 540365492, + 33395274, + 640995313, + 361029618, + 97705170, + 242656234, + 899616792, + 482315733, + 345853852, + 746524465, + 374749697, + 285583271, + 184674830, + 255561785, + 123551091, + 959184429, + 652683264, + 78588361, + 993687904, + 288467216, + 987243548, + 250211234, + 131780353, + 267802457, + 280014442, + 8902426, + 285272582, + 651812631, + 263808163, + 725386367, + 494493666, + 741324437, + 659460411, + 635310573, + 745155474, + 865232066, + 302327704, + 457031120, + 154039206, + 168735173, + 790575420, + 175935653, + 641015204, + 677474422, + 990437134, + 883872194, + 18774841, + 611100552, + 684269242, + 90256907, + 74131584, + 682350314, + 61377044, + 865904420, + 584691493, + 301854886, + 612421939, + 505966137, + 987933869, + 245234953, + 501866788, + 389690949, + 334967736, + 219629919, + 236499064, + 341115527, + 341144733, + 589361133, + 511432447, + 292685391, + 974072231, + 895851884, + 557175747, + 711025124, + 264533749, + 624322953, + 759069767, + 977520541, + 520090982, + 888396703, + 6245393, + 189275154, + 334474360, + 480444220, + 532317403, + 33211212, + 698013021, + 171735719, + 312157803, + 876727998, + 216483209, + 17451359, + 799232989, + 579409125, + 443384143, + 887255794, + 706234073, + 823263626, + 799504315, + 850514787, + 402853812, + 347745557, + 995957981, + 841250752, + 272957529, + 45311730, + 997069946, + 570891917, + 977145130, + 392165641, + 843439777, + 515669568, + 464380439, + 813071744, + 992604562, + 89368902, + 271186450, + 187073392, + 497462707, + 429368051, + 21731223, + 50240910, + 144115814, + 762113915, + 529077481, + 739274429, + 851913828, + 880888027, + 157454228, + 930701862, + 358648204, + 329879429, + 188977223, + 373956015, + 21698327, + 765757272, + 95667819, + 338764715, + 23309432, + 528903370, + 935243996, + 175096977, + 715414158, + 374380692, + 63702550, + 831795961, + 91692633, + 622109365, + 617243374, + 746788571, + 969943102, + 126833849, + 45573965, + 528386121, + 754734607, + 971338666, + 936756085, + 638635845, + 31574292, + 461321534, + 276479450, + 988540069, + 531170958, + 352706105, + 912681245, + 593814319, + 142078713, + 111087291, + 15396193, + 422725927, + 649168568, + 85662094, + 955858783, + 152584268, + 175087220, + 183931163, + 826324652, + 261596992, + 732178503, + 997879745, + 677623103, + 541900014, + 686020508, + 929782017, + 973612123, + 387037782, + 740729196, + 526150585, + 612281677, + 222073771, + 844240512, + 130422991, + 940634436, + 289658463, + 105884846, + 625711263, + 347649742, + 126549078, + 722576240, + 347658075, + 114871361, + 277070928, + 612895070, + 408312527, + 377951537, + 206420059, + 690978425, + 721903482, + 428101022, + 548181980, + 275480418, + 779202234, + 534324759, + 286311008, + 508360732, + 741631344, + 588049850, + 544032123, + 389117746, + 95243124, + 610002492, + 898247079, + 141061030, + 888733741, + 395938588, + 602679523, + 271260017, + 345195142, + 189361893, + 273346375, + 905208204, + 383013050, + 454392107, + 562107414, + 262103703, + 135085405, + 798719942, + 217489654, + 753014647, + 958121147, + 484746811, + 805069935, + 683413808, + 507922103, + 272659666, + 356539812, + 633580247, + 645699643, + 981036173, + 409989797, + 357814538, + 27810139, + 409146286, + 512188533, + 520417895, + 782111415, + 529957762, + 375278513, + 724690139, + 223244129, + 800591985, + 575098413, + 11995842, + 478320009, + 558097363, + 810176309, + 686846206, + 753496835, + 800384843, + 271675480, + 70251975, + 832904145, + 197103225, + 334782156, + 807233636, + 960297725, + 586462577, + 585808716, + 872719373, + 487362136, + 1017490, + 355461951, + 367457050, + 948943451, + 726381566, + 331213830, + 487227235, + 3719645, + 811601496, + 28294986, + 342240154, + 852898188, + 275045834, + 883506493, + 325783281, + 592456777, + 916893875, + 706652303, + 834321339, + 746112266, + 539478489, + 405426029, + 625799013, + 122772121, + 273451351, + 485440160, + 711648756, + 426909156, + 80196773, + 826538411, + 750189718, + 672809440, + 613760596, + 419535879, + 896941078, + 192651899, + 363673321, + 555667238, + 392663504, + 260628361, + 442144216, + 188179660, + 839792202, + 475360007, + 754322630, + 535555564, + 590023503, + 855646560, + 963158170, + 24082058, + 666604866, + 139972759, + 970981346, + 77499806, + 398931992, + 249971158, + 882667035, + 217759178, + 478478326, + 722602719, + 909612951, + 978367056, + 59189261, + 848559009, + 33300824, + 185619513, + 518710312, + 311309639, + 778802410, + 95142895, + 330412381, + 420064744, + 646367587, + 101465742, + 844891740, + 319400717, + 760804297, + 811519489, + 93753233, + 516520445, + 599498486, + 290463574, + 308026445, + 528204269, + 370450294, + 902943040, + 681158445, + 447950165, + 412420394, + 291391395, + 740924885, + 464486411, + 979866689, + 605334952, + 128791245, + 512257566, + 729551149, + 810091736, + 678873524, + 495480801, + 453094540, + 840370131, + 810945797, + 428747481, + 430926493, + 943728365, + 434604435, + 5678555, + 723077592, + 41326157, + 464134268, + 39538118, + 75900227, + 640558876, + 83699757, + 111989307, + 225664731, + 695160296, + 830128476, + 927414066, + 664294281, + 240686910, + 979395990, + 256772269, + 766952673, + 683074893, + 943286786, + 460338228, + 9605788, + 329752940, + 121128456, + 104864118, + 400361386, + 200431815, + 215542147, + 669143557, + 79053341, + 197273425, + 145666636, + 200446296, + 410944924, + 703639764, + 945739290, + 497352188, + 292254199, + 552894023, + 141902862, + 404225156, + 399825012, + 836515502, + 198552142, + 120657045, + 427408410, + 126475413, + 321960697, + 310331765, + 332676647, + 204392361, + 838163250, + 229516936, + 562921931, + 784632755, + 630354394, + 99983668, + 359890490, + 678749010, + 376655840, + 828186317, + 987195113, + 6085681, + 560361912, + 233859127, + 168468932, + 692661358, + 86180958, + 260445855, + 668259657, + 200378712, + 280222556, + 710993367, + 851239120, + 918992344, + 254612132, + 646615345, + 501622314, + 525479978, + 341623729, + 201289413, + 472841468, + 512139528, + 442060648, + 195183264, + 177838863, + 904176620, + 420774032, + 938206812, + 457443476, + 47613629, + 395725411, + 219614742, + 537347603, + 652098378, + 742719464, + 288022048, + 183776710, + 506422625, + 11657154, + 60751611, + 110432051, + 377773769, + 883583743, + 791926227, + 413690648, + 91869299, + 683624796, + 743098704, + 316373281, + 877188373, + 785262535, + 396768051, + 726397211, + 756764176, + 406539205, + 359541203, + 944306046, + 128074105, + 352971060, + 401019968, + 734743147, + 714148339, + 326892091, + 519582726, + 16013321, + 79702894, + 936171845, + 311927871, + 47010850, + 925705623, + 442745003, + 952989985, + 103323338, + 277819893, + 973733943, + 258937597, + 854299623, + 820404937, + 755922904, + 69475546, + 254915288, + 187679999, + 657014252, + 630238743, + 918303380, + 398385056, + 42584814, + 254692494, + 714157638, + 336919220, + 264001602, + 792986970, + 970560392, + 144091544, + 826216360, + 840759195, + 839790315, + 393356376, + 678671395, + 117329270, + 43315325, + 15918321, + 801713729, + 108238831, + 171865285, + 781483779, + 164116876, + 846441544, + 672724662, + 155481376, + 63922284, + 336696061, + 264874968, + 159013403, + 509361777, + 900982756, + 795157696, + 402901793, + 211037769, + 625894639, + 696929807, + 157134370, + 678640377, + 112971376, + 240332188, + 450127994, + 768783384, + 126868315, + 802417919, + 743101114, + 2713717, + 510111391, + 577884350, + 106892874, + 213931641, + 771736755, + 634745557, + 536312208, + 68190812, + 821623877, + 754680438, + 953018554, + 35774793, + 67722678, + 15036665, + 106955357, + 802129602, + 48317984, + 485541604, + 558467499, + 858951745, + 191447810, + 468837311, + 708052857, + 187957426, + 543236947, + 894189810, + 917286029, + 217928493, + 893893469, + 513733716, + 784279412, + 77468135, + 479216527, + 990982216, + 130255712, + 393138570, + 394437113, + 929742630, + 769263055, + 153798280, + 924849345, + 699144200, + 464366856, + 79219083, + 794980169, + 971795028, + 974221082, + 868378468, + 988463018, + 417226811, + 890445188, + 442846243, + 690463043, + 481216461, + 711710284, + 819654041, + 723691412, + 44929371, + 141680941, + 342728581, + 108764085, + 967624907, + 497879764, + 636376359, + 609441132, + 441159142, + 823344044, + 617770666, + 433081045, + 960054358, + 268553828, + 302466316, + 694487016, + 461574760, + 39888791, + 365762306, + 331868916, + 784791928, + 915148069, + 133202339, + 291896876, + 457584558, + 652491502, + 636574402, + 401390072, + 548770598, + 726406405, + 956584701, + 4587938, + 535288852, + 670223822, + 775389761, + 95321184, + 45666113, + 273290591, + 516781243, + 186029701, + 304314767, + 339680577, + 644849331, + 529607435, + 675420877, + 721734907, + 898478585, + 924913501, + 590477345, + 737887027, + 336933564, + 681243872, + 50047850, + 302079952, + 275906485, + 968678182, + 299927506, + 727212133, + 167450393, + 342259603, + 509935956, + 838885059, + 753968585, + 273259069, + 448827091, + 176163644, + 875587836, + 567445475, + 60166618, + 829940142, + 619000647, + 379817563, + 322670752, + 404046573, + 163417773, + 83240400, + 419452707, + 178395479, + 736822092, + 646067341, + 946086910, + 955555578, + 242260081, + 861446984, + 527608239, + 363140684, + 31708986, + 648339024, + 260082691, + 968839562, + 126373007, + 164577916, + 653431754, + 132046215, + 941994021, + 702593737, + 448856551, + 362581690, + 713145821, + 929012986, + 551702166, + 263437201, + 817851613, + 233124971, + 625941827, + 314985820, + 364363080, + 986125842, + 957966219, + 488000348, + 610311944, + 962724305, + 856114899, + 640134825, + 678965186, + 105177491, + 961234823, + 519362578, + 575175437, + 17005455, + 729539819, + 381156882, + 728458331, + 89433920, + 92427682, + 965117299, + 307375788, + 827657249, + 989961358, + 813693656, + 950615781, + 184028439, + 888844964, + 910021049, + 106953268, + 176801172, + 399026806, + 286058083, + 939555037, + 931388613, + 922370352, + 213004839, + 931617624, + 772089882, + 170192073, + 857593210, + 439223651, + 652025933, + 66481435, + 876405731, + 4151809, + 773915370, + 285572597, + 631551603, + 127000907, + 724510495, + 885586533, + 803800306, + 839624643, + 708544496, + 366602313, + 659595704, + 301383874, + 530943457, + 699047760, + 215705712, + 416135145, + 758829186, + 921278196, + 82625709, + 795489764, + 738744414, + 68377609, + 544077841, + 316972553, + 425456303, + 471982164, + 471671679, + 240094710, + 825838861, + 107667078, + 100555506, + 950513526, + 15445381, + 401219764, + 639924783, + 564044679, + 176950632, + 239825490, + 822585836, + 584629026, + 910262626, + 425314965, + 928043059, + 30554177, + 368839451, + 883917379, + 308619568, + 577623229, + 22057351, + 305992653, + 830114833, + 350250997, + 948975351, + 23059666, + 731031102, + 772422744, + 289463241, + 946855570, + 287621226, + 972487952, + 870263909, + 476536675, + 606066330, + 815261863, + 713695365, + 161340506, + 519661090, + 51464691, + 611176860, + 193219867, + 724458632, + 928006593, + 685920743, + 357730337, + 687801920, + 466983418, + 433482581, + 440866050, + 199474823, + 145119222, + 703618700, + 549221351, + 365038362, + 736138080, + 610621897, + 184556643, + 109544286, + 407808218, + 700640221, + 932534929, + 598127245, + 50506281, + 284963042, + 553054801, + 349809154, + 146911966, + 397441806, + 808457099, + 804175425, + 901530442, + 977662625, + 195639614, + 326350474, + 80782081, + 429398938, + 60042889, + 882379786, + 978309420, + 409500006, + 805151207, + 498408053, + 974776742, + 224066811, + 261353655, + 681802012, + 355747270, + 157975526, + 907499773, + 827537261, + 27351677, + 81886443, + 168509412, + 591098663, + 91143832, + 339087277, + 704302850, + 762875918, + 477454323, + 439373427, + 739064552, + 345479929, + 601736726, + 440591130, + 696966640, + 518003836, + 887735214, + 567653050, + 380620730, + 598903407, + 982963302, + 784472768, + 226152073, + 808300929, + 105347778, + 227919922, + 607368944, + 865155800, + 447089239, + 272100648, + 163609195, + 33893511, + 938239039, + 105641708, + 241190311, + 530555194, + 954540847, + 20531209, + 798688349, + 172465357, + 389953147, + 134750204, + 975246142, + 468539556, + 718668074, + 877052911, + 771823438, + 297665804, + 607399622, + 395223881, + 513505749, + 535319277, + 311528659, + 910711820, + 518906657, + 806604258, + 214601345, + 750620695, + 103671337, + 70885243, + 671083061, + 458443279, + 426597097, + 606135019, + 734861977, + 322937501, + 965094288, + 295096051, + 989242053, + 436279985, + 173137805, + 752981335, + 161132238, + 895455750, + 67893908, + 727174769, + 502297125, + 27674351, + 926670067, + 815913274, + 105350952, + 82264927, + 258901901, + 241839301, + 204098860, + 933903085, + 760841352, + 212988080, + 55994035, + 862291191, + 902689151, + 847242195, + 5734324, + 407486278, + 377169027, + 694128111, + 455605243, + 47158401, + 85321277, + 867939997, + 520124139, + 357430354, + 949211241, + 979103029, + 434038145, + 290087031, + 640850303, + 874538746, + 288939607, + 162442570, + 941626621, + 936271723, + 694249081, + 588338570, + 925339357, + 578987077, + 860252554, + 372673889, + 923941383, + 644178638, + 559583277, + 828818933, + 798887626, + 19630434, + 618180336, + 358493660, + 580450664, + 129688430, + 447359203, + 963410375, + 244357058, + 139031669, + 453141732, + 864249762, + 807588272, + 417610410, + 431009129, + 186134864, + 953320204, + 467843198, + 410159498, + 431349590, + 940868430, + 147443459, + 465142619, + 258479198, + 439810188, + 883095478, + 899255705, + 860423864, + 392578417, + 860201054, + 64872247, + 42486601, + 546168376, + 885495093, + 781238354, + 197176140, + 817146792, + 343887223, + 270293279, + 834476232, + 715914486, + 351611498, + 380546119, + 336003286, + 296624241, + 2566714, + 60124712, + 404407247, + 117907604, + 798042205, + 137855485, + 17170262, + 576611637, + 231525651, + 341080939, + 150621665, + 466088230, + 224943824, + 207226820, + 743651954, + 427122092, + 815529447, + 939485333, + 46120500, + 975120323, + 719880192, + 337465508, + 986398338, + 581305405, + 541628405, + 124001352, + 398636064, + 473002458, + 84292607, + 564251894, + 367094425, + 314707343, + 448347810, + 58354442, + 634084042, + 497938861, + 25957733, + 900590575, + 259869371, + 905027868, + 499087127, + 175908206, + 897741518, + 885585653, + 185807524, + 95669485, + 145262771, + 122124966, + 936703596, + 185879020, + 296209606, + 247157464, + 338548461, + 619394431, + 311689380, + 561498505, + 639473230, + 473351282, + 259889704, + 241274937, + 250127947, + 350293005, + 540763304, + 425785303, + 981576255, + 793350754, + 928277866, + 196477698, + 911075979, + 620918047, + 932500108, + 623033257, + 516939501, + 890922568, + 566292553, + 455878680, + 318452481, + 180566550, + 32089212, + 553619129, + 955406811, + 232375246, + 52420501, + 241702942, + 396245062, + 904420966, + 671891103, + 361457942, + 615250532, + 210356100, + 627168518, + 510082334, + 150926564, + 276599771, + 147321446, + 558181697, + 35744343, + 546931577, + 693637827, + 965973088, + 898227234, + 943476883, + 559395677, + 53569784, + 314882472, + 114682964, + 633713602, + 310501361, + 193811544, + 594823059, + 223523780, + 764782993, + 884906133, + 671678011, + 106305238, + 113036083, + 266266529, + 671138281, + 496677079, + 38353992, + 817834925, + 897560719, + 553884975, + 742670441, + 262302764, + 168411890, + 245762926, + 540495844, + 93921331, + 773011071, + 61217213, + 351432781, + 114896038, + 530269675, + 143751758, + 257819862, + 431983459, + 191755684, + 644648568, + 350257172, + 121974000, + 462520981, + 649619966, + 997557930, + 255367387, + 299235356, + 659354670, + 642055273, + 51221043, + 307052989, + 81969782, + 332702630, + 427815197, + 912370363, + 987291946, + 965145934, + 75902371, + 635941275, + 131548611, + 811688714, + 781209336, + 524058816, + 272195831, + 375213155, + 376026192, + 393272550, + 873998263, + 574638417, + 91431605, + 792268784, + 210141176, + 174921821, + 964949184, + 151230475, + 344775484, + 84309935, + 60872491, + 844427712, + 31868679, + 833086874, + 167658221, + 834886812, + 628415840, + 317054670, + 860804132, + 671143580, + 106836748, + 807129533, + 678409579, + 412135036, + 756907980, + 203426460, + 411033710, + 473050847, + 285012916, + 20264500, + 752605311, + 154461777, + 556217686, + 892561970, + 33617493, + 11090123, + 839336238, + 631513075, + 633699889, + 73590133, + 218545835, + 982961791, + 812081633, + 961688897, + 811453225, + 402400859, + 973046473, + 56132813, + 54232922, + 833254626, + 333270102, + 997027807, + 460547367, + 128125547, + 143584932, + 952598888, + 445902039, + 428037064, + 622257895, + 607371635, + 973626683, + 414039374, + 568293498, + 23387120, + 59157078, + 950966319, + 154532539, + 967990688, + 256771200, + 117494629, + 426877926, + 877058767, + 686809356, + 108905567, + 705432698, + 972517599, + 5270996, + 510926180, + 504870938, + 273427679, + 921014108, + 396985051, + 571667646, + 699368016, + 33532848, + 174548745, + 825443607, + 735464066, + 809914687, + 14934135, + 777449575, + 100408495, + 749220908, + 315002411, + 768485795, + 342472390, + 641864151, + 431465217, + 661082676, + 637230044, + 289397696, + 925200487, + 428062887, + 974463570, + 361844463, + 829096432, + 119530045, + 226527049, + 478685877, + 27335131, + 101875924, + 260780163, + 204862891, + 767819459, + 58834123, + 658800178, + 961007694, + 94917624, + 676020709, + 418883298, + 852474348, + 321350403, + 657842892, + 471801265, + 831664406, + 247742270, + 955489928, + 927010753, + 307289728, + 711969523, + 221819789, + 591082624, + 66489478, + 596877802, + 304738088, + 995400532, + 278405993, + 827974811, + 33808812, + 608530945, + 501484895, + 643574467, + 49784961, + 898705604, + 776474727, + 291371685, + 319946487, + 191980198, + 620102450, + 894552860, + 330951854, + 673125016, + 856024353, + 620028956, + 228181178, + 222999326, + 86365185, + 795566916, + 380893136, + 200172436, + 527725564, + 999446906, + 671786401, + 617240022, + 522914936, + 595618515, + 2377179, + 713860557, + 162067420, + 984999357, + 332253225, + 734887117, + 140211286, + 766094569, + 141023619, + 238852034, + 870028298, + 863868983, + 873845290, + 297117645, + 135734091, + 564713047, + 611880535, + 781291438, + 721776804, + 748910083, + 944221918, + 582281310, + 525144137, + 191665411, + 826438441, + 579824856, + 853357976, + 296668117, + 777506569, + 185868247, + 160068047, + 968203631, + 55979660, + 645378386, + 82841701, + 473322009, + 415076516, + 658832565, + 416927762, + 340465534, + 545574470, + 760628918, + 372717547, + 767678386, + 954133897, + 112689346, + 516969288, + 96201420, + 893026650, + 722808085, + 710209825, + 503913114, + 919695537, + 473711096, + 585149629, + 599438231, + 607203514, + 168259364, + 162164976, + 768975780, + 468352159, + 928725004, + 821600907, + 49430914, + 180043516, + 13244561, + 100312512, + 561416450, + 61169736, + 631722015, + 52911406, + 419735938, + 514517672, + 752211044, + 428906788, + 224630057, + 993207600, + 530433988, + 284359055, + 634052239, + 257703792, + 934804092, + 898862698, + 246747418, + 787135740, + 264510677, + 426273432, + 825477179, + 65542105, + 633669483, + 519849379, + 456066156, + 160301149, + 919596716, + 108467428, + 232295738, + 394049816, + 528086680, + 772974283, + 929497438, + 401888349, + 627455832, + 289312524, + 391102849, + 331784605, + 786911952, + 619199061, + 575234327, + 598284810, + 126190201, + 826287156, + 136632457, + 46941682, + 165917915, + 79451986, + 803843792, + 933414053, + 821004427, + 968494227, + 734138028, + 910091527, + 996834305, + 714753434, + 353890784, + 943868192, + 963277463, + 291019294, + 604484329, + 787641555, + 377194622, + 108268318, + 47145894, + 492205845, + 984106979, + 166611222, + 470385816, + 269535614, + 674921721, + 605456485, + 275780304, + 992293404, + 546713982, + 598396077, + 937508704, + 286448591, + 838625149, + 699573137, + 862811947, + 526922443, + 27251769, + 847873229, + 918729407, + 371360577, + 911928866, + 929056823, + 849921002, + 978168154, + 818366717, + 999760855, + 383259510, + 705163819, + 180448100, + 416834211, + 18053606, + 916064290, + 348905453, + 674629846, + 651340100, + 127020457, + 761569283, + 723557015, + 156274627, + 516286006, + 645216793, + 973096054, + 861195377, + 846105633, + 695956460, + 429978134, + 916719962, + 989849218, + 788417847, + 83373252, + 289743496, + 883747108, + 625327506, + 242864545, + 338443287, + 301125552, + 795464189, + 999538822, + 795727733, + 802035225, + 391477993, + 478870872, + 797478215, + 546475995, + 812673634, + 650347821, + 688715824, + 395767161, + 820128156, + 555287848, + 849065976, + 831436407, + 143822602, + 641984840, + 772334219, + 753378747, + 115329086, + 490594183, + 3866816, + 756927618, + 117975398, + 208563173, + 376965664, + 931454961, + 193548117, + 962376940, + 85716545, + 441038848, + 91715964, + 155742797, + 252507746, + 150504672, + 958655793, + 764582482, + 594192924, + 954954301, + 985670071, + 179690263, + 912457272, + 463933579, + 847563860, + 311032728, + 104480524, + 521868833, + 427736807, + 363711800, + 49504140, + 818744784, + 850162462, + 178601271, + 780623515, + 287294986, + 318120543, + 632837717, + 319404926, + 256346757, + 632683442, + 636136244, + 660969965, + 189287537, + 877709551, + 23971903, + 457527663, + 871915703, + 673682885, + 623840303, + 223267949, + 351980883, + 262029334, + 357551163, + 768529339, + 39897554, + 348977903, + 936044114, + 856952592, + 219653342, + 684924316, + 968245783, + 65971285, + 689287881, + 37379013, + 397592224, + 609315024, + 156738086, + 819139924, + 740556143, + 716722658, + 647724882, + 737505979, + 634965601, + 818594448, + 141098648, + 621848521, + 549361261, + 808602626, + 700170772, + 45494994, + 922051691, + 214588198, + 1207175, + 183412268, + 832821107, + 15566627, + 603576055, + 981587660, + 237974863, + 781032253, + 632565224, + 358257294, + 872671467, + 4732699, + 720366406, + 680249833, + 234304289, + 909116448, + 926986870, + 43508566, + 960475039, + 6618370, + 649969199, + 252236357, + 705628018, + 237578733, + 713941475, + 649333345, + 591465120, + 557009814, + 117269814, + 361095779, + 389976269, + 433640934, + 72825156, + 330572845, + 140550806, + 127388890, + 383365084, + 541377031, + 53267365, + 246988991, + 843668754, + 37437213, + 673931943, + 719174911, + 923227152, + 104984216, + 627764762, + 26174087, + 237354551, + 381361256, + 253114536, + 836790412, + 427221140, + 579137846, + 105553114, + 393439039, + 11755838, + 824630644, + 713833443, + 273525816, + 213092609, + 394439667, + 962406346, + 50538109, + 738576505, + 451702680, + 402573509, + 859584149, + 482402133, + 78797992, + 90161172, + 559118707, + 997569871, + 536933061, + 221608795, + 274719736, + 195748563, + 564351063, + 667905973, + 676270441, + 719278038, + 660836010, + 769541730, + 904019596, + 626947657, + 904272398, + 535259471, + 359011044, + 260084721, + 623924729, + 944691448, + 439824276, + 465486292, + 26732858, + 952341656, + 421061862, + 955672787, + 879168080, + 689990437, + 446155536, + 552881746, + 224936523, + 968887261, + 102593717, + 799120241, + 648277599, + 752102014, + 464757969, + 969672124, + 244196761, + 477349655, + 625520240, + 660611936, + 597056538, + 770529278, + 435998007, + 513832673, + 560674823, + 847558353, + 4947584, + 693235921, + 961433609, + 428307930, + 669869315, + 208005139, + 616726726, + 783856851, + 139813198, + 406594855, + 954066242, + 683851476, + 962394236, + 338950972, + 905772428, + 628187660, + 406960327, + 53388860, + 689899276, + 812258970, + 848990670, + 63724121, + 399172680, + 353616029, + 70940854, + 332032359, + 489135827, + 666273900, + 634025338, + 41146902, + 966613581, + 723565441, + 682872329, + 633734213, + 575795925, + 148545626, + 413978292, + 922701902, + 239008672, + 837835118, + 205738248, + 807689160, + 407699210, + 172866539, + 903194796, + 54198271, + 411780110, + 461488247, + 183827147, + 878487376, + 807955327, + 934019949, + 894051063, + 153471799, + 591593097, + 514109595, + 834471408, + 759385361, + 504418916, + 824068196, + 478248500, + 373407148, + 610747160, + 388788564, + 972510933, + 823684226, + 589811930, + 651030498, + 181963391, + 965997384, + 746225049, + 895796268, + 617112155, + 44253979, + 324470018, + 514227500, + 7864302, + 731129196, + 939372599, + 897043553, + 975603680, + 596898481, + 729775332, + 917373017, + 397615785, + 26815235, + 179233900, + 57262037, + 700157820, + 610918501, + 861454632, + 525986250, + 731723212, + 651079262, + 952188682, + 787813549, + 370030449, + 422907912, + 195761391, + 38879888, + 824143558, + 56218488, + 68251711, + 801659670, + 801784480, + 999512938, + 751373792, + 360081055, + 181771617, + 25277191, + 648470738, + 631419401, + 95041700, + 302890426, + 224550341, + 120155085, + 30840434, + 395743488, + 497890881, + 101658019, + 394572579, + 259826404, + 932692290, + 717933302, + 605016484, + 601426732, + 658736116, + 88829625, + 726696493, + 691807535, + 371722208, + 433202495, + 624396456, + 771188146, + 284701456, + 700357232, + 916259370, + 942866865, + 806629428, + 954972266, + 752408308, + 235337489, + 194242534, + 136252709, + 814256159, + 423192980, + 638645885, + 558194367, + 255952258, + 356365221, + 436313473, + 382360334, + 622449974, + 91676908, + 945212732, + 247300108, + 392682534, + 80627533, + 616996492, + 913326655, + 107938295, + 743155156, + 515130761, + 77809785, + 871572922, + 400271063, + 599999742, + 968426173, + 487364405, + 882703450, + 226958451, + 336087451, + 436595239, + 468558662, + 956127568, + 565850546, + 825522717, + 436170145, + 787454301, + 36874946, + 998697886, + 925219546, + 74653148, + 583166093, + 513744330, + 898561962, + 487741958, + 427579201, + 934264679, + 640896501, + 670546506, + 212924157, + 547463019, + 246355623, + 835353791, + 568045093, + 304387102, + 200052484, + 148853302, + 980820609, + 934953215, + 771101087, + 35167987, + 855075742, + 365284255, + 983076031, + 868807985, + 369551005, + 501907142, + 749571777, + 40521132, + 189169655, + 922785908, + 617190509, + 884284209, + 588402879, + 209669491, + 198524640, + 121559662, + 864373136, + 636638421, + 30512733, + 778609583, + 924585868, + 318253317, + 724598657, + 446906269, + 493149285, + 965363342, + 664606174, + 164673459, + 80424511, + 942218416, + 395425620, + 682230879, + 65251546, + 835311400, + 212429444, + 310172839, + 35445077, + 174852697, + 246707530, + 164945124, + 892668468, + 377423052, + 209777489, + 205322668, + 756750927, + 594688432, + 587208595, + 139605493, + 748448721, + 485348038, + 920372412, + 191123866, + 75256149, + 165598545, + 881107473, + 487998043, + 230401296, + 75630688, + 301125815, + 360817863, + 9661318, + 969745295, + 407456989, + 257376691, + 690660950, + 681970426, + 149443876, + 597632031, + 634315784, + 427034449, + 526008026, + 830854027, + 541717768, + 647972257, + 557005501, + 904711865, + 65143136, + 587646957, + 788742182, + 854461208, + 333956035, + 315967676, + 437567091, + 499439812, + 643840428, + 297174481, + 440272714, + 636510124, + 190250022, + 574458290, + 493479689, + 104637812, + 461512625, + 37129397, + 6028156, + 368816976, + 631071910, + 936626669, + 835738849, + 662364278, + 854695704, + 696176195, + 977985188, + 340456947, + 433355029, + 778826416, + 638063389, + 482771125, + 998752777, + 972997935, + 151802131, + 663306804, + 218552494, + 921328485, + 820674399, + 445813203, + 771617768, + 414413743, + 478847723, + 776242984, + 985767408, + 540705318, + 191843532, + 952773790, + 509500937, + 241143118, + 38102342, + 129254953, + 201491848, + 182249585, + 754939230, + 935774395, + 656132100, + 515474560, + 90364004, + 309658457, + 578269361, + 605431674, + 898300472, + 950256266, + 287668356, + 121069584, + 176924909, + 812118035, + 513137738, + 16303976, + 940919245, + 873201899, + 92217061, + 687532355, + 463661264, + 886187509, + 896897466, + 64844394, + 565733764, + 28513649, + 898964771, + 74059362, + 512267072, + 245469087, + 694138693, + 826373591, + 684096351, + 532038809, + 725245025, + 74301497, + 280905977, + 834827628, + 388227964, + 100666200, + 388673315, + 528473001, + 801966808, + 68433018, + 555782035, + 965348929, + 469078078, + 24443634, + 397606845, + 674128782, + 498327486, + 444916199, + 441343076, + 895468497, + 300080802, + 960240867, + 373610880, + 560241538, + 848236161, + 673961121, + 185853276, + 588874153, + 657038493, + 844343630, + 2480167, + 585431126, + 944690393, + 145157699, + 160544834, + 607702334, + 144139106, + 700401754, + 868340912, + 55392083, + 180060199, + 308981141, + 618354553, + 247612775, + 341227084, + 21889755, + 476925288, + 140807619, + 444855041, + 848210083, + 320168872, + 743204087, + 866752897, + 558004290, + 912523124, + 307491192, + 273868373, + 900985301, + 945761991, + 84084164, + 647084043, + 944609991, + 402563404, + 7409146, + 272625476, + 939566637, + 351968239, + 587101764, + 74943514, + 660717862, + 475498949, + 415106664, + 864708774, + 66410847, + 754941575, + 693235817, + 239551758, + 244585705, + 342377475, + 765517029, + 244757598, + 354281720, + 981049074, + 231184444, + 524880786, + 97932670, + 503958229, + 116314684, + 684947776, + 244086664, + 611485091, + 33746522, + 363578446, + 190341075, + 323231507, + 39230888, + 701446566, + 446487677, + 947677430, + 154793986, + 768090685, + 481684294, + 256554968, + 620622603, + 5781572, + 849322375, + 483771366, + 604529220, + 653935096, + 947645938, + 3056223, + 650624451, + 689870538, + 225082076, + 297924363, + 220812199, + 909884911, + 372967915, + 972517259, + 238740473, + 850946169, + 852002780, + 734494956, + 624785756, + 933426680, + 865901368, + 928267683, + 829489658, + 661403662, + 729099795, + 820743106, + 308359490, + 880276370, + 442416115, + 930067183, + 670390954, + 14121003, + 183286612, + 901154192, + 565654333, + 77615201, + 953432653, + 376912547, + 469506294, + 32333582, + 628868171, + 504787918, + 873819778, + 756208401, + 444313594, + 457127113, + 356654268, + 46100635, + 760381055, + 107430121, + 824007657, + 437985269, + 321820914, + 720064804, + 87269430, + 942705591, + 109702648, + 116916096, + 832338244, + 511255923, + 575628916, + 456610254, + 248238183, + 837864258, + 482017241, + 857457182, + 479079094, + 128930238, + 801216297, + 619505644, + 701100877, + 219773017, + 988396634, + 156336043, + 190594824, + 579143048, + 786822109, + 450307525, + 682880378, + 102791559, + 935283776, + 528482280, + 322661924, + 343941727, + 910207393, + 739009469, + 682424545, + 838947490, + 784726716, + 122783124, + 524244237, + 312771085, + 185621426, + 694971037, + 240863863, + 437099971, + 487335599, + 568734049, + 280154858, + 74136308, + 209218288, + 182527611, + 609175881, + 70898926, + 398786729, + 923015696, + 432225148, + 925743726, + 522512902, + 624120921, + 894885556, + 30083964, + 745798546, + 4914983, + 140750008, + 643647839, + 710176892, + 78046433, + 528831729, + 9827353, + 374852506, + 98765219, + 177400801, + 604595751, + 902856139, + 519313344, + 252154770, + 721827647, + 588308984, + 863889284, + 37418918, + 723655282, + 515992254, + 487587902, + 832395319, + 69480212, + 986723240, + 25446161, + 982218425, + 397621113, + 363413344, + 726793462, + 574569503, + 750747195, + 520894994, + 259526135, + 721863832, + 839121116, + 323677176, + 456307422, + 127185657, + 288380958, + 445660533, + 327255313, + 598457088, + 386187277, + 149000515, + 847005477, + 959874260, + 536040611, + 542095317, + 765482806, + 200643926, + 299614478, + 898144547, + 838371801, + 941417611, + 805333261, + 804891675, + 895613438, + 397295052, + 834620167, + 451145525, + 617548117, + 268313777, + 91646986, + 618543566, + 278416236, + 539879857, + 201773403, + 817062584, + 43979556, + 107182814, + 460502347, + 205293786, + 570472346, + 741054920, + 942238881, + 56682444, + 311100478, + 578991951, + 928694460, + 643874122, + 640143286, + 845584762, + 613658672, + 758148656, + 706680141, + 476062881, + 127436242, + 925548909, + 315049030, + 875256450, + 408667041, + 318813553, + 586242290, + 902403805, + 868374884, + 164174600, + 226485674, + 850711313, + 464317274, + 219502684, + 490318272, + 881915564, + 241747867, + 63701721, + 406680366, + 129215011, + 468895363, + 287494294, + 946636984, + 21050146, + 60969747, + 550733458, + 842849691, + 324242499, + 596912193, + 781749454, + 424434579, + 178692299, + 41004495, + 674634595, + 522286251, + 57284252, + 568503594, + 370045035, + 123406048, + 762060536, + 280010007, + 202381549, + 74496337, + 67868807, + 300433998, + 441124267, + 603178976, + 117411491, + 346371312, + 135865042, + 773735568, + 962196071, + 698786137, + 324178251, + 982893120, + 859072225, + 889464000, + 561487562, + 57249630, + 118416359, + 517442560, + 574244156, + 535003954, + 681828617, + 499088152, + 829089612, + 847601707, + 731578008, + 649948469, + 173447065, + 709119971, + 796908421, + 343090023, + 80736940, + 717322927, + 938418371, + 240652168, + 820221135, + 114977330, + 440943823, + 266861999, + 183565408, + 291254884, + 964942477, + 873150888, + 84993111, + 685088032, + 393777548, + 550900502, + 814429509, + 416094659, + 148066771, + 940291909, + 155502901, + 694307839, + 199423322, + 816664625, + 412356991, + 937117171, + 275822685, + 349227227, + 488496724, + 907609660, + 251857119, + 252432108, + 85834635, + 299716405, + 751263379, + 129032533, + 977858696, + 164143272, + 944530985, + 367704191, + 950471232, + 561885976, + 590034771, + 957665940, + 276341469, + 984743161, + 883569545, + 922257260, + 436537005, + 88453223, + 267487071, + 813864675, + 486514815, + 984378401, + 650318652, + 879919622, + 350888252, + 362667384, + 672753035, + 619706288, + 587470884, + 777920127, + 35489176, + 114275354, + 934279301, + 590479505, + 446899825, + 287350783, + 741461454, + 781631723, + 167893318, + 743221274, + 19905201, + 900560752, + 891458656, + 902815500, + 220052673, + 559740574, + 943200464, + 73496681, + 881438704, + 532888905, + 157853392, + 181372819, + 62712023, + 888291996, + 46142742, + 838887694, + 453094925, + 987731732, + 901442193, + 942551074, + 14708937, + 693715975, + 599148692, + 902463761, + 954645400, + 488605043, + 840740407, + 906431585, + 57035546, + 944142827, + 658390331, + 973000137, + 484657738, + 602318045, + 174683528, + 821470866, + 666060025, + 213223373, + 702553254, + 374763623, + 70925328, + 462735975, + 4963777, + 393271322, + 33126199, + 175304468, + 784112547, + 653297880, + 101946138, + 604505608, + 763134235, + 121476732, + 291760134, + 99933519, + 470390410, + 385678615, + 414740250, + 582566278, + 908953411, + 809175105, + 993170623, + 716432181, + 529445977, + 474074487, + 951128290, + 669483238, + 660975828, + 934764, + 521790961, + 799582352, + 319706284, + 603501529, + 20971879, + 587852367, + 4647391, + 91558411, + 400145715, + 209310146, + 590326708, + 239301226, + 984567849, + 988646156, + 749131566, + 786090598, + 716647975, + 883415758, + 437647506, + 289455108, + 869099655, + 999389673, + 826147277, + 706399713, + 915240234, + 75100787, + 971326337, + 952019079, + 416150118, + 688510843, + 927119757, + 586260822, + 259266884, + 717962809, + 380194, + 109645369, + 886433956, + 641107360, + 839421904, + 516365416, + 113583376, + 985757471, + 340558356, + 486099838, + 942243326, + 543138066, + 9681700, + 452752238, + 216763802, + 394438469, + 594669426, + 671698464, + 777471299, + 956246584, + 822217430, + 748674864, + 420655829, + 647762634, + 948848938, + 439557848, + 409758667, + 551719063, + 393401735, + 497154005, + 971413360, + 10557683, + 695318102, + 614349571, + 891404031, + 44685567, + 627303470, + 886016060, + 366234776, + 173158491, + 451880355, + 522587020, + 153416109, + 366230689, + 42670862, + 609151337, + 468760139, + 9713798, + 95285851, + 870835162, + 437214056, + 615722391, + 370675022, + 682115251, + 18874212, + 505322959, + 624290943, + 469611322, + 528990801, + 804916708, + 671689075, + 306923636, + 363348618, + 652921476, + 842603530, + 941782105, + 835773798, + 941256054, + 857560835, + 975022510, + 313734699, + 514068700, + 607447705, + 863621152, + 845502734, + 900274358, + 55533445, + 522348910, + 921047808, + 603994503, + 536247285, + 674708907, + 572513695, + 353944596, + 865348045, + 673528916, + 155351017, + 189817410, + 977733505, + 559027268, + 869436500, + 563152336, + 102797034, + 538876163, + 116771134, + 607973650, + 104284662, + 520102360, + 734840276, + 581836419, + 926307392, + 797564685, + 596498449, + 410502027, + 106543286, + 734839042, + 38286107, + 126433475, + 885677202, + 528165406, + 909458851, + 745930957, + 801474807, + 869048610, + 401583996, + 411784681, + 413089678, + 90135217, + 462376035, + 554361729, + 545653740, + 976497606, + 125768206, + 260077051, + 631436559, + 4255713, + 114013991, + 71790325, + 64693169, + 917321588, + 782241657, + 465142061, + 713925770, + 143951767, + 78606601, + 572799935, + 478986421, + 296773156, + 455941631, + 746018558, + 36184207, + 400143913, + 584834541, + 250644101, + 331064754, + 963541663, + 777664141, + 674516108, + 593926417, + 579953178, + 270193848, + 837637437, + 816704663, + 179325218, + 963418067, + 37390240, + 282376946, + 673492893, + 456319100, + 819078306, + 160604707, + 799794633, + 782675304, + 188898596, + 505237529, + 514339591, + 362343983, + 570986924, + 769635288, + 253783184, + 384809138, + 509249171, + 353275101, + 843335284, + 753499370, + 239022196, + 96789623, + 102658832, + 762291499, + 729366620, + 852725217, + 186026388, + 905257127, + 516468109, + 531795733, + 637865091, + 548205127, + 124917846, + 392697266, + 266808452, + 298922740, + 140994807, + 26289693, + 896246548, + 386701882, + 154511906, + 824477495, + 403024478, + 697119392, + 610453794, + 320892936, + 342943112, + 240640213, + 843645975, + 933079921, + 316376429, + 383330094, + 972591519, + 575846044, + 860006247, + 489374186, + 229435402, + 299138462, + 697543234, + 176585257, + 564024825, + 134148676, + 649977751, + 99237092, + 963514428, + 366660178, + 308918349, + 429367231, + 413131748, + 351623239, + 412145604, + 62901370, + 60629614, + 296801846, + 892187863, + 231511621, + 331919374, + 797818955, + 817466610, + 973242761, + 313016255, + 15083681, + 208522392, + 902869917, + 674390433, + 318046321, + 378094528, + 269509893, + 661458627, + 851518644, + 996914007, + 333077758, + 416802588, + 84963490, + 286514519, + 31519047, + 417853246, + 824049685, + 266523000, + 917602453, + 577186800, + 258636910, + 777716422, + 906591023, + 688262327, + 641151842, + 610471466, + 136195464, + 739350512, + 756156376, + 793904676, + 962858006, + 157907228, + 13846592, + 452036667, + 751835294, + 191689501, + 840349703, + 596773783, + 672022149, + 121454966, + 519345548, + 226209036, + 932405741, + 828865447, + 134222604, + 924442604, + 213348592, + 201120066, + 196916968, + 462877264, + 903933621, + 927688394, + 634840956, + 934925974, + 274062903, + 883273363, + 499224725, + 929511940, + 232882108, + 892671121, + 987073827, + 383805138, + 957811226, + 460942576, + 177874871, + 448191102, + 843537103, + 839776824, + 548238253, + 381297159, + 813141667, + 682459961, + 107956482, + 305809004, + 878190334, + 957466759, + 771702292, + 892324788, + 83761116, + 979989717, + 858558342, + 12324619, + 584713961, + 632603432, + 793103119, + 818382417, + 911518576, + 573204907, + 518308168, + 585232060, + 629786127, + 167729863, + 35663000, + 783543597, + 373841326, + 612253794, + 271258180, + 959649529, + 918076882, + 76761830, + 100087304, + 869145763, + 940923630, + 383083983, + 554079323, + 308897912, + 162766157, + 468630272, + 477367283, + 681394469, + 647612580, + 734275699, + 328886945, + 558843319, + 235877977, + 955091666, + 569665948, + 159391056, + 174211264, + 229782060, + 27248555, + 794629141, + 949167498, + 917712653, + 285051763, + 227365684, + 169919545, + 67424834, + 199765942, + 991531232, + 767072611, + 931804676, + 146580901, + 829650770, + 423005406, + 128087048, + 323460565, + 29972556, + 843882118, + 887100917, + 117373248, + 401938920, + 270583421, + 294264399, + 392411707, + 139707496, + 728395103, + 264369435, + 323131495, + 260398833, + 993857929, + 297649320, + 469426442, + 651775118, + 343251262, + 853899095, + 355949795, + 278161625, + 422610536, + 772702500, + 54860979, + 240881252, + 38302286, + 331563411, + 961005333, + 633361220, + 805832562, + 453392808, + 564601339, + 983108230, + 806809648, + 166134666, + 842703047, + 626500683, + 494130618, + 909672854, + 172894387, + 223968095, + 315976111, + 219639208, + 104802260, + 638272872, + 97307735, + 614818366, + 388482436, + 427882619, + 316331429, + 279162665, + 68974461, + 814868406, + 735844964, + 502646216, + 402971636, + 352033806, + 713758100, + 817558798, + 399537930, + 256053203, + 550443126, + 215434418, + 873880435, + 149774910, + 646716515, + 516582746, + 118423161, + 928013081, + 655259572, + 192166919, + 761899800, + 625584209, + 790269049, + 898107678, + 355261320, + 151017956, + 927183660, + 901046989, + 978125493, + 699665128, + 506121159, + 940067840, + 329307444, + 484709189, + 179078036, + 367539878, + 196912629, + 598191365, + 650968175, + 507455546, + 140662363, + 317944938, + 860691378, + 667804426, + 118983643, + 694871405, + 756790655, + 339504637, + 191411358, + 684972275, + 805076591, + 72954868, + 954324318, + 444926076, + 612635024, + 80472025, + 165838897, + 110288979, + 607855292, + 765549807, + 705723348, + 293708374, + 601713690, + 752720479, + 722780511, + 451171514, + 760135362, + 506773487, + 511147268, + 904944281, + 50265339, + 109021529, + 4267929, + 578041343, + 666060082, + 834698382, + 951796527, + 794400567, + 211340585, + 473879013, + 578093871, + 426855378, + 655888390, + 765773157, + 423335472, + 536784717, + 785431551, + 590665872, + 689589066, + 826454684, + 903398157, + 575670300, + 662842376, + 340449422, + 464776110, + 777864185, + 536762891, + 893089860, + 467974665, + 802030318, + 952092388, + 52364860, + 673661390, + 186820208, + 785864861, + 729537468, + 817344929, + 897462045, + 300583856, + 256301628, + 654014091, + 364647211, + 107568830, + 264616052, + 836594567, + 377392976, + 69716454, + 735663285, + 628502636, + 245416092, + 987627180, + 75877844, + 836608087, + 148890969, + 466402640, + 184824552, + 161896476, + 380077987, + 738116693, + 925632885, + 989602071, + 257997609, + 939828880, + 253287524, + 959838798, + 110731292, + 34345880, + 185899651, + 954248550, + 863393011, + 282286369, + 207447318, + 837122152, + 586802655, + 340496603, + 102479075, + 826635185, + 825281817, + 650698092, + 33438612, + 12950803, + 562501837, + 95872077, + 447346827, + 384222998, + 914984976, + 629634895, + 737509610, + 623434359, + 521877612, + 544115447, + 409638843, + 571303277, + 908284728, + 625212919, + 777663797, + 261398798, + 132267048, + 134186971, + 651437285, + 501901760, + 805973067, + 233503060, + 98848505, + 486180288, + 836815994, + 479038499, + 332036327, + 854056013, + 409256242, + 602157300, + 335614059, + 52619776, + 848193246, + 604645290, + 520063535, + 351728791, + 76632589, + 211890222, + 906157746, + 924511775, + 107446708, + 159973930, + 820489916, + 231817059, + 601301516, + 440560157, + 12933268, + 669132670, + 808373610, + 824890609, + 236442215, + 20632954, + 443156108, + 44295285, + 203761471, + 468886899, + 972075431, + 301578469, + 856113551, + 879360048, + 459737209, + 750956022, + 552423090, + 449821356, + 601667332, + 460643414, + 240050034, + 940790192, + 377402125, + 450829162, + 716880651, + 124856574, + 828419438, + 417615779, + 895166265, + 348247944, + 593636929, + 101763891, + 280498599, + 242198648, + 426199413, + 368740667, + 317882355, + 976732846, + 591651874, + 286155702, + 281600154, + 55163115, + 393734114, + 268209051, + 934561909, + 623396324, + 16024633, + 225243403, + 371860202, + 284531835, + 380023600, + 403365318, + 68510897, + 297670185, + 308351529, + 476249297, + 895546457, + 556620130, + 791123657, + 159873121, + 200766959, + 511763872, + 522614366, + 17855435, + 769557196, + 272261992, + 854397103, + 244616186, + 935456379, + 42497208, + 899213379, + 313032796, + 552184006, + 866951889, + 902324592, + 230805713, + 592420377, + 120134695, + 759794998, + 342567821, + 741666931, + 732115005, + 164041702, + 220861529, + 519368132, + 633132168, + 827106602, + 270850742, + 61171375, + 988732049, + 179100796, + 4116131, + 737206092, + 806677693, + 547901929, + 446283571, + 705743409, + 126827665, + 941666643, + 270061621, + 758050818, + 338636704, + 584054820, + 173499400, + 679959085, + 794822335, + 504839491, + 101993911, + 712997236, + 54022831, + 356154960, + 639216695, + 827723394, + 906862441, + 448645233, + 248173559, + 830456851, + 43732023, + 527020999, + 99396276, + 568932629, + 931437159, + 435045081, + 200448241, + 170900820, + 31550315, + 347148923, + 586320307, + 759055177, + 663458515, + 238620462, + 634476728, + 561748719, + 743604791, + 761189356, + 494322720, + 777109720, + 306584257, + 595176244, + 909819988, + 961858955, + 447951857, + 472902925, + 373303117, + 62459921, + 801078357, + 534818861, + 566041820, + 836457142, + 115282334, + 200597818, + 102503136, + 64190551, + 840102170, + 507313202, + 391873976, + 550278521, + 106582782, + 835356033, + 27094824, + 971043462, + 511336849, + 502736477, + 603985111, + 563172451, + 574779458, + 455220906, + 488767983, + 587019108, + 968645153, + 635835414, + 881790154, + 671198453, + 797906853, + 215629244, + 918612364, + 727968806, + 438823214, + 42142929, + 780152617, + 639350136, + 101995894, + 398590460, + 475663585, + 824791263, + 657178983, + 135528029, + 279498641, + 660433376, + 870857251, + 774853172, + 977739928, + 310386265, + 148840556, + 349581905, + 849222426, + 173199358, + 626470090, + 246250023, + 853882092, + 523811058, + 616608936, + 495959373, + 798981276, + 90332676, + 883235787, + 403264837, + 581738883, + 769665944, + 727371298, + 537907107, + 768491552, + 752515650, + 233036088, + 911944660, + 99981895, + 41450036, + 177399482, + 301801618, + 854393684, + 934005902, + 957474632, + 508397381, + 612284548, + 348583540, + 651475609, + 55024198, + 253751100, + 545903471, + 131147411, + 471544796, + 720661855, + 178624167, + 774345914, + 424752084, + 791510751, + 634461842, + 39584525, + 245819012, + 97869673, + 171969118, + 300823256, + 804693513, + 89783357, + 173472196, + 738343478, + 493500133, + 357318864, + 971319427, + 988457794, + 565314232, + 948141068, + 329518695, + 44448860, + 481853254, + 924040126, + 925020206, + 505088956, + 221730999, + 328120468, + 767091432, + 806460938, + 69577281, + 45516403, + 14373613, + 8646318, + 656633629, + 642741126, + 129039404, + 514163459, + 480839984, + 835886102, + 523609674, + 714052681, + 364704966, + 799203845, + 17978030, + 25935293, + 777726980, + 207218216, + 336260304, + 253346013, + 323353766, + 218349471, + 718104495, + 593713853, + 88495678, + 549103385, + 474582696, + 424785846, + 792395498, + 279166132, + 946156444, + 505834506, + 800482914, + 396683495, + 841978742, + 119680208, + 428740148, + 292973238, + 55281897, + 271197487, + 318292491, + 583571859, + 633693597, + 816216556, + 302547419, + 430050107, + 945571352, + 751637669, + 466472072, + 503772768, + 964583777, + 932580679, + 191315269, + 256700926, + 316742748, + 885467729, + 604433566, + 473810862, + 327115194, + 394125865, + 789943308, + 978761074, + 978630944, + 404934949, + 681849049, + 410066015, + 292161928, + 335403467, + 720125188, + 304386924, + 443506291, + 938601180, + 662002257, + 879055663, + 907479831, + 183027987, + 363467528, + 860809152, + 911079402, + 771687594, + 685286992, + 638222487, + 790109622, + 4853430, + 69124975, + 408048088, + 371813737, + 107931039, + 461700838, + 674334374, + 406202640, + 913571569, + 280851934, + 257820760, + 674020524, + 533667161, + 257210687, + 891722501, + 176277590, + 565719126, + 955447338, + 505239267, + 835627754, + 3906038, + 906504647, + 959214439, + 905993577, + 117496797, + 356705577, + 413128754, + 567644214, + 396003573, + 28244, + 218271991, + 142710070, + 33012061, + 702230754, + 304521700, + 529303569, + 267336793, + 268385732, + 805257061, + 535257034, + 527007280, + 241196995, + 68766400, + 854532469, + 68470673, + 985697767, + 19685662, + 995204332, + 920535616, + 589783340, + 93075080, + 488358133, + 81080741, + 69871556, + 124586277, + 564908852, + 651407181, + 779670132, + 359191792, + 562398944, + 173737333, + 328658137, + 456742637, + 60692810, + 966077745, + 593592970, + 521157046, + 196414849, + 665860347, + 315517934, + 898675595, + 348074581, + 149698369, + 195790409, + 2782647, + 774829277, + 391730618, + 307588143, + 827863219, + 558016826, + 137369112, + 828384337, + 615086152, + 748536570, + 693716847, + 311401976, + 768308743, + 370689494, + 486979285, + 349271534, + 476551299, + 552911081, + 487882570, + 550691372, + 828234176, + 116663976, + 247611953, + 142638662, + 321303569, + 497615768, + 135282842, + 475910355, + 758003902, + 522009435, + 248539714, + 803610662, + 454617137, + 497696447, + 152133005, + 123245609, + 920403696, + 554492744, + 799622979, + 348653403, + 22324013, + 866606414, + 568598040, + 280229000, + 346339736, + 228609493, + 972242399, + 531356648, + 433706771, + 342108644, + 746974285, + 700105442, + 625504496, + 853752434, + 52844995, + 183991145, + 495669693, + 434889799, + 987509580, + 363660962, + 454550091, + 287331365, + 140594500, + 441003799, + 354613915, + 767687746, + 109051469, + 93625101, + 649090790, + 395707268, + 514486382, + 420958355, + 208905031, + 788948443, + 793401454, + 848280977, + 188656495, + 832146816, + 946141126, + 771205804, + 992244567, + 330197294, + 842103289, + 489089040, + 684322339, + 223646171, + 140864782, + 515566405, + 208626336, + 10244747, + 542045352, + 575748788, + 136828945, + 969214219, + 365758634, + 507883341, + 35393056, + 112057917, + 540202328, + 557945483, + 961684434, + 14957837, + 422388736, + 383256063, + 330583070, + 993815066, + 482867614, + 692583121, + 21201994, + 938511471, + 747730065, + 746426309, + 156314028, + 574649662, + 971474352, + 773835223, + 820596839, + 131539172, + 70534909, + 386305608, + 246383468, + 469524275, + 967507870, + 445523506, + 529431823, + 225653792, + 502677538, + 187046411, + 907807775, + 22868511, + 118241441, + 355448411, + 987684315, + 803241387, + 4722750, + 136524734, + 58027273, + 139563084, + 161923827, + 602923401, + 2079035, + 20327479, + 407720917, + 709010916, + 598660990, + 911869444, + 823752003, + 301181110, + 88351652, + 883439663, + 469907099, + 386066389, + 548625868, + 252585316, + 334093271, + 30844916, + 793996095, + 983045835, + 585724984, + 287730, + 163279379, + 223557408, + 518227493, + 308831002, + 800744514, + 266959816, + 557610561, + 219319622, + 520496859, + 804234974, + 905325615, + 797787841, + 660477827, + 544798023, + 978585350, + 514661096, + 746711587, + 991402267, + 6100414, + 935321909, + 614074675, + 679640880, + 575175107, + 640805405, + 1440207, + 869422700, + 606398154, + 844716013, + 320098844, + 985435831, + 193409833, + 122812626, + 858675525, + 183811430, + 608468523, + 326981665, + 535100691, + 752314225, + 459522734, + 755751256, + 665899668, + 240678510, + 868233002, + 121326822, + 449978351, + 514103113, + 685632689, + 173564918, + 424912831, + 433576276, + 505400018, + 442373795, + 837046061, + 922391663, + 306700500, + 605122326, + 839145405, + 462015266, + 928774884, + 328937725, + 383304671, + 904168335, + 276936045, + 908575504, + 128144999, + 235005557, + 594551408, + 922731277, + 508412759, + 578029486, + 331482028, + 190471622, + 292648527, + 978599240, + 823068601, + 47178580, + 479820547, + 461357545, + 829092408, + 392967123, + 710219841, + 928368712, + 549275288, + 658721641, + 139106428, + 770300849, + 916191638, + 875379877, + 777192028, + 646421179, + 528131343, + 409790783, + 506866585, + 234527887, + 340719189, + 165268317, + 237926987, + 401677737, + 117403894, + 131078477, + 563125250, + 486471620, + 772281869, + 973153919, + 393217439, + 613514866, + 57213597, + 180438995, + 866558332, + 463059033, + 284124597, + 436251671, + 445174744, + 994760777, + 317058483, + 625832068, + 393377353, + 371950179, + 721551834, + 320393347, + 366486621, + 993750454, + 360966567, + 891922189, + 795824010, + 85074362, + 250574113, + 611935889, + 937814118, + 549050659, + 361835285, + 847353414, + 164115521, + 819573783, + 48784824, + 992570847, + 508803973, + 526796332, + 567485451, + 672287748, + 650909253, + 533376651, + 142728223, + 349238301, + 480320100, + 444903303, + 190742081, + 913313485, + 354391188, + 145175425, + 786923183, + 326337595, + 382447673, + 19636381, + 247966063, + 324880100, + 283860698, + 81734442, + 854860153, + 888521264, + 484438076, + 302127338, + 437006473, + 683896936, + 429664571, + 210394428, + 755239313, + 329042276, + 601043750, + 537987397, + 517374778, + 331649578, + 997282503, + 635250115, + 840098893, + 754126514, + 470254024, + 50277060, + 623968149, + 362622883, + 622338494, + 696362928, + 751120852, + 841797941, + 318586874, + 211424892, + 260689410, + 964080219, + 727049021, + 146013990, + 123515515, + 519527441, + 797989813, + 450012590, + 57946585, + 614840084, + 327281862, + 353525679, + 268674394, + 867212291, + 252555578, + 956043514, + 713118107, + 670318186, + 522179156, + 289415195, + 831067703, + 146587072, + 567234676, + 613162147, + 788690466, + 440769750, + 58951686, + 785426981, + 750990277, + 869802778, + 219982102, + 962492189, + 358235725, + 30260262, + 126507282, + 697264269, + 114411850, + 216273950, + 916127622, + 811211183, + 118555323, + 915653673, + 785686415, + 737932809, + 39377865, + 89806192, + 842560895, + 448637960, + 552231367, + 355611835, + 530547700, + 613920949, + 580601350, + 448537480, + 864934990, + 924624121, + 251283098, + 147729722, + 151359298, + 196536761, + 122121659, + 463678322, + 349281863, + 18479376, + 450980010, + 363808521, + 704567963, + 351088017, + 367700701, + 491177640, + 202432217, + 726329593, + 394508207, + 339924880, + 33558962, + 162084888, + 52328072, + 711595278, + 514100643, + 190580410, + 863398261, + 809765267, + 54681000, + 315630705, + 400448324, + 673793450, + 144678162, + 250216550, + 816021880, + 450403846, + 8558980, + 713812696, + 77959169, + 745347446, + 895885472, + 127986015, + 959593465, + 843461576, + 58439061, + 676448489, + 717351426, + 555127174, + 412755048, + 284811141, + 129401350, + 840565739, + 682902224, + 948412964, + 374567192, + 122749865, + 472582897, + 866456554, + 761381388, + 273014484, + 837520851, + 587283890, + 515381668, + 793398401, + 496734824, + 217382148, + 420790990, + 894438793, + 631224260, + 248162243, + 999883202, + 513474091, + 608652265, + 192671988, + 969819837, + 100800834, + 187821261, + 912825859, + 158233805, + 754947483, + 997371305, + 768936496, + 986980757, + 404663899, + 173463995, + 116210435, + 856523778, + 432996029, + 385250055, + 643364997, + 942368085, + 713830890, + 23652549, + 908358637, + 912921536, + 191906754, + 975367496, + 389955866, + 435879617, + 630290560, + 323048229, + 7779687, + 321267335, + 340284972, + 574280143, + 723783013, + 265077614, + 131308542, + 776928377, + 174390374, + 555874413, + 660716368, + 313296796, + 52266827, + 11533117, + 384307356, + 519672559, + 808124832, + 915889716, + 902234797, + 405088763, + 120245661, + 429615586, + 702736212, + 281812473, + 807732777, + 561007175, + 670614991, + 332303930, + 792711329, + 848928529, + 506503142, + 757023287, + 647946087, + 327581343, + 904798386, + 454573600, + 481789308, + 729740694, + 292617488, + 530421398, + 561675056, + 652715752, + 787453268, + 673909034, + 632072954, + 50250737, + 13626792, + 77869609, + 537528870, + 435585195, + 876276468, + 426036206, + 340707008, + 443212348, + 356927578, + 305429367, + 195679919, + 248876033, + 118155183, + 3113845, + 853245268, + 599248801, + 621707337, + 481463969, + 713740078, + 744798626, + 897538990, + 110695246, + 788009648, + 643951371, + 298047455, + 48423719, + 789674857, + 545785806, + 165025115, + 632462636, + 624477185, + 465841467, + 577857953, + 684617055, + 454273994, + 22184752, + 375963911, + 406192965, + 570669846, + 742227781, + 889445596, + 137106323, + 91934029, + 914511895, + 316256580, + 952728290, + 726208569, + 703859842, + 289057929, + 250954584, + 966749852, + 982067284, + 284476736, + 877453769, + 594973069, + 769534647, + 580968175, + 472121323, + 88559169, + 685864350, + 894084740, + 372521778, + 188794362, + 119142774, + 240965582, + 101421851, + 762855831, + 732555575, + 957728970, + 87347321, + 486133591, + 159142458, + 269899297, + 600175608, + 445557249, + 248025402, + 526270961, + 455991738, + 584859308, + 352535638, + 700236161, + 719159801, + 539439026, + 670286911, + 582353995, + 392518643, + 717371262, + 164436710, + 49434987, + 418824103, + 548998260, + 803319833, + 110883865, + 511369278, + 950434445, + 100263830, + 806853177, + 414946763, + 556358212, + 734247131, + 740748283, + 156564542, + 515110770, + 747218318, + 1498061, + 832323021, + 165357278, + 658103568, + 528013715, + 904487704, + 531236999, + 558819306, + 924144275, + 633535182, + 886580669, + 806626475, + 536733832, + 749423036, + 13535337, + 161633875, + 159540176, + 712661279, + 678570346, + 819309982, + 68606159, + 573578914, + 755386514, + 35465819, + 95187969, + 416617081, + 896674972, + 552598607, + 665036588, + 800713433, + 287180480, + 805138033, + 677570945, + 75594626, + 639314355, + 264575503, + 371197958, + 71409054, + 651003750, + 467982745, + 438520534, + 905252806, + 422058740, + 282297771, + 256013323, + 22454071, + 320578501, + 75399992, + 23606343, + 653283846, + 789868548, + 272154554, + 352528964, + 92016600, + 701710321, + 410079702, + 329245332, + 134959636, + 551492296, + 780747424, + 414999245, + 689838118, + 866203472, + 359856794, + 162380489, + 745917491, + 842322032, + 740988448, + 211613619, + 732508142, + 796854200, + 593722846, + 341121003, + 398363281, + 686505113, + 465301558, + 202995017, + 431163600, + 403009791, + 415627199, + 905334843, + 923179341, + 232502610, + 863507052, + 371507292, + 179828881, + 701895675, + 324581463, + 170635190, + 525567420, + 175769921, + 617973037, + 468789557, + 445223705, + 56046503, + 216621542, + 679212607, + 402705893, + 721632394, + 544271024, + 346286019, + 54589283, + 391551333, + 691509458, + 64040800, + 640533053, + 599980940, + 77650814, + 769057939, + 994864110, + 11888892, + 113710300, + 270036226, + 633898476, + 603399897, + 605417984, + 251008482, + 420406922, + 131115864, + 372774432, + 874151751, + 943203773, + 705766076, + 167231839, + 866606174, + 197951730, + 408121373, + 838437913, + 51490614, + 690686263, + 735117657, + 784206944, + 819391929, + 557416004, + 983348479, + 893227330, + 885857478, + 386937417, + 803774889, + 834631994, + 702799210, + 565252625, + 309888900, + 871358877, + 203832688, + 583462528, + 48840810, + 311339361, + 187758242, + 451995885, + 4069907, + 528188759, + 350912339, + 488189119, + 103449878, + 377318914, + 288177913, + 605711655, + 875572048, + 975352038, + 984780334, + 532409084, + 284263443, + 59004274, + 853584436, + 847466105, + 587068144, + 864856108, + 424388507, + 162880645, + 820349109, + 409579507, + 1064265, + 728122388, + 664803758, + 54171052, + 597457446, + 84892094, + 307657964, + 288911258, + 456607, + 71603433, + 195484615, + 150291408, + 368930716, + 369411451, + 96285010, + 959203857, + 919534004, + 498183021, + 175223597, + 700400368, + 328362745, + 140659531, + 367871584, + 8384960, + 207264759, + 808707870, + 794657371, + 245204439, + 180151216, + 606798864, + 947082059, + 647779055, + 279761945, + 19803485, + 758153088, + 407228056, + 336112906, + 827522211, + 359190975, + 994229204, + 421283047, + 60237334, + 171970781, + 925119727, + 390545327, + 341955282, + 52574165, + 312475124, + 28548625, + 650090241, + 891343280, + 989917154, + 927551777, + 779552423, + 694511410, + 572049570, + 718544788, + 148494843, + 952415068, + 258521340, + 582460802, + 363671916, + 167412683, + 583977797, + 257904646, + 162074482, + 877823925, + 943964975, + 195820489, + 618710341, + 512335027, + 272101125, + 170468441, + 49540449, + 867441937, + 211064554, + 276589498, + 827160070, + 677412628, + 159334357, + 517167128, + 762136836, + 92631185, + 929099293, + 189611537, + 10162985, + 143048978, + 324992017, + 454611188, + 975733143, + 929419951, + 314829751, + 796312403, + 203993435, + 159325914, + 56414393, + 304814637, + 305629290, + 842600827, + 844599813, + 385435511, + 551711111, + 863900333, + 744811161, + 794895609, + 858786768, + 687033257, + 446788794, + 487235428, + 826923608, + 797164884, + 811407760, + 292255284, + 691835989, + 70879386, + 335455465, + 490915608, + 282110383, + 191297065, + 318348330, + 426658464, + 348328032, + 597350555, + 413199934, + 364581660, + 464496364, + 130584928, + 73118628, + 525825510, + 103978258, + 904314279, + 981335897, + 264697239, + 957858109, + 259215085, + 582466771, + 808976922, + 553297692, + 424561962, + 83429879, + 752857452, + 238766841, + 978943229, + 828774229, + 315690388, + 5236022, + 551643281, + 816549539, + 512594675, + 425046241, + 53734276, + 60643739, + 425132015, + 136112188, + 499601432, + 749145606, + 711034290, + 474117764, + 422654300, + 237212879, + 666325677, + 197086238, + 846541544, + 955729386, + 177142607, + 902229762, + 975424918, + 766369249, + 600735765, + 68794718, + 185587301, + 213601629, + 738363310, + 267876906, + 360306930, + 706311362, + 262572166, + 290791118, + 638795199, + 923537830, + 428878817, + 380349249, + 517184281, + 120375917, + 806992876, + 85416194, + 255247038, + 315775360, + 758011125, + 615052859, + 183686325, + 45286046, + 646542626, + 506309248, + 596333782, + 93907682, + 621617795, + 975600598, + 869977003, + 990613788, + 665118478, + 996096644, + 619269591, + 36703269, + 454033770, + 183041358, + 875586924, + 217306106, + 278000341, + 874634320, + 846739375, + 549272169, + 39076595, + 587630029, + 738256490, + 913152035, + 550116894, + 803621473, + 234756781, + 885579622, + 253033264, + 730718933, + 890503243, + 51664053, + 189938564, + 164453357, + 430349758, + 341082149, + 905123851, + 80427495, + 330473925, + 746672134, + 581346028, + 977738204, + 635895339, + 341523009, + 18672678, + 158888267, + 106705666, + 63649010, + 13177489, + 54972767, + 584223297, + 285110575, + 583389274, + 66481704, + 383356705, + 161459987, + 496600305, + 46694042, + 839794126, + 238573723, + 705282668, + 988622700, + 77126480, + 515265757, + 607007270, + 694136485, + 980020793, + 150831022, + 770288211, + 491285241, + 798498327, + 631091303, + 584910655, + 571335942, + 731767094, + 223213805, + 56088022, + 25770126, + 324137874, + 63295411, + 741746038, + 419266821, + 67460150, + 28229419, + 939439337, + 714601278, + 40139978, + 423823391, + 901059680, + 328475141, + 36156642, + 250355469, + 961392592, + 462781539, + 637526341, + 344090057, + 916185844, + 183651464, + 205203185, + 971455377, + 856497326, + 336744985, + 532478434, + 264367611, + 58501554, + 627539219, + 804777444, + 533167441, + 31060232, + 923285366, + 434848228, + 630289945, + 177904990, + 128450120, + 841430839, + 532471787, + 411500973, + 721534577, + 208813346, + 536558046, + 721336477, + 603161192, + 637504309, + 816564701, + 725041135, + 806251230, + 705205476, + 906549518, + 784519288, + 532090027, + 451176481, + 460674371, + 618563174, + 721609986, + 141878270, + 673052789, + 515791, + 968578291, + 402526783, + 851400985, + 252408899, + 661119348, + 935715814, + 925652386, + 794929695, + 300847380, + 637148471, + 251422959, + 917749400, + 669390697, + 84360616, + 881319400, + 137634208, + 430927155, + 544735213, + 796152862, + 988669447, + 587919995, + 19039231, + 397243616, + 619500214, + 374368041, + 212496618, + 785751657, + 504363999, + 783675468, + 58109062, + 456527245, + 176600067, + 464746788, + 539525636, + 974120502, + 2196361, + 37168794, + 211222428, + 29633955, + 972343608, + 750300475, + 647501541, + 489705113, + 144348236, + 120376446, + 909730108, + 983576844, + 42149344, + 680026507, + 95892552, + 449201742, + 867278203, + 500257547, + 4089930, + 795996936, + 465739826, + 364873000, + 21022783, + 938338517, + 98339645, + 548134514, + 862304392, + 556986970, + 667856343, + 699275815, + 559843375, + 562202156, + 826098030, + 345037321, + 412182719, + 889780449, + 767474432, + 352124925, + 615745022, + 51162617, + 887799392, + 783990394, + 286711663, + 585978631, + 585806699, + 208142555, + 558655100, + 88758698, + 116150230, + 924604672, + 528556035, + 682108618, + 725708053, + 883638524, + 645647220, + 593510485, + 263622806, + 686572808, + 279048222, + 447250688, + 87314483, + 189461519, + 332790448, + 772047053, + 406313632, + 620176865, + 228119742, + 981298268, + 797440753, + 881387846, + 614584531, + 802612738, + 267991741, + 37712361, + 395571909, + 339497244, + 694984929, + 696289863, + 126160646, + 749156066, + 22976806, + 663820969, + 950134578, + 636192158, + 959262446, + 197675564, + 738169283, + 378566175, + 948862079, + 569140734, + 758688332, + 742834992, + 481158719, + 547150064, + 134431771, + 856609477, + 402163950, + 126008897, + 107547931, + 818983519, + 333237909, + 32924730, + 606269395, + 311085079, + 19561707, + 6883491, + 125983504, + 643263502, + 202246112, + 929631867, + 990181199, + 198920103, + 67935200, + 456461929, + 661342053, + 255853086, + 648081906, + 167509990, + 345775625, + 293184169, + 444209811, + 604512507, + 262203682, + 452373123, + 942789896, + 708072607, + 626346892, + 885653408, + 801530006, + 139089867, + 121543754, + 420357235, + 73537338, + 375902339, + 57275413, + 674386702, + 46025213, + 889221796, + 857658248, + 586092052, + 564734638, + 668525806, + 364495279, + 852395155, + 305755518, + 304351531, + 832735978, + 877789895, + 202893935, + 144206341, + 696251467, + 319143973, + 102853250, + 708663464, + 860450204, + 921030329, + 493909114, + 755003043, + 108078960, + 948496441, + 672012318, + 226070809, + 353427011, + 121340810, + 374127294, + 384605081, + 298548862, + 580062999, + 810945908, + 113262655, + 663363470, + 225878331, + 921367243, + 14382517, + 819831429, + 294536905, + 588635511, + 168375448, + 9525521, + 753271367, + 610032231, + 560123896, + 763148844, + 684025792, + 77962271, + 918931505, + 355744878, + 831892855, + 648985177, + 803778091, + 210407200, + 929023297, + 547533179, + 412466417, + 768291780, + 606181811, + 402599451, + 412799900, + 997131631, + 251863070, + 429375386, + 554118372, + 833715861, + 188293390, + 941973115, + 896282530, + 57496181, + 121553842, + 375686988, + 999926415, + 17215707, + 315717889, + 216355359, + 920118252, + 407556569, + 131675287, + 426896629, + 64710279, + 652921475, + 900833498, + 13606274, + 471408115, + 50721889, + 843130099, + 141137647, + 615287599, + 40932991, + 897865276, + 376112091, + 687312966, + 245423264, + 749281933, + 843685580, + 97935135, + 639527844, + 430279392, + 708455214, + 591047669, + 302520341, + 709213837, + 694038547, + 224060837, + 655264550, + 301607836, + 212904604, + 3884052, + 861814789, + 4784592, + 231299353, + 440622191, + 407351114, + 10503698, + 86396702, + 23538578, + 889180678, + 918583294, + 95470673, + 19484927, + 417909621, + 355941292, + 24232175, + 631574633, + 479758383, + 557590902, + 793445162, + 37787728, + 922688287, + 549670192, + 633631310, + 48213020, + 71067311, + 702788498, + 330026801, + 413489396, + 683133832, + 827862696, + 98007386, + 903349596, + 322926898, + 933443395, + 769737275, + 400159902, + 595739964, + 499066962, + 567231962, + 150068115, + 784789477, + 370617650, + 693252060, + 183333408, + 939095699, + 972844611, + 167342180, + 714206655, + 886544898, + 1455556, + 589254699, + 58537120, + 438570954, + 11209084, + 475847982, + 142498685, + 73557718, + 627398589, + 206553537, + 687716355, + 847301650, + 473744101, + 843120033, + 19379489, + 280771805, + 448674169, + 95241233, + 513535958, + 454036505, + 327947380, + 880210638, + 460007530, + 546988618, + 123829201, + 18270041, + 452220294, + 541885669, + 944880199, + 428588781, + 120315669, + 471190856, + 786786593, + 856194551, + 348126778, + 380342816, + 164608961, + 730795284, + 930965006, + 845245064, + 904852214, + 893527134, + 906986326, + 523785804, + 222840149, + 783892429, + 888511422, + 486947195, + 585948881, + 390977015, + 912782937, + 882657496, + 641458511, + 2182664, + 994608713, + 226984087, + 481617826, + 452427783, + 464618708, + 549839623, + 485178568, + 251351929, + 344142183, + 155442059, + 488414439, + 231558947, + 618101703, + 689963756, + 521385637, + 864597551, + 617858218, + 631982323, + 159356308, + 274403415, + 86088631, + 454170895, + 362081195, + 450331481, + 595207497, + 981181397, + 705070274, + 224053613, + 286775240, + 315074568, + 648006741, + 6520361, + 158787631, + 290029351, + 366531835, + 77916290, + 470868415, + 95637030, + 786297872, + 563219913, + 32615573, + 884919680, + 654306789, + 893564745, + 318701647, + 314343125, + 566458328, + 482701992, + 472185696, + 705690178, + 908205419, + 11530383, + 977620946, + 819975038, + 557804403, + 725996256, + 904800633, + 548172214, + 422550610, + 887775374, + 395512, + 868684197, + 913220175, + 610441530, + 127583213, + 674563137, + 823678458, + 720028863, + 561596866, + 702101955, + 121394322, + 474314509, + 243588271, + 327927253, + 416242016, + 555175302, + 544113817, + 196775085, + 887742060, + 570082888, + 118598072, + 675768506, + 697768796, + 852765525, + 669424629, + 870156655, + 750529409, + 862262764, + 708976068, + 612876277, + 401992190, + 491308412, + 317277754, + 340993668, + 684649909, + 737992191, + 258029929, + 819323016, + 265402524, + 414693564, + 993744023, + 421324169, + 733086219, + 458622145, + 531021768, + 101345015, + 442225410, + 918298910, + 282042538, + 875955513, + 546239252, + 665661704, + 693790070, + 406507812, + 578512137, + 879105740, + 812103902, + 948277124, + 507889546, + 87264987, + 34800054, + 394635796, + 443115580, + 476044649, + 733390552, + 285800826, + 561371571, + 314194487, + 300048184, + 208464315, + 216763853, + 364794431, + 298030456, + 95218669, + 231207071, + 516112462, + 78804304, + 865634744, + 367957084, + 234827920, + 474867620, + 671238214, + 197911, + 412789466, + 696299030, + 25156169, + 5447143, + 338731591, + 375390139, + 572545564, + 531580307, + 565093887, + 13761282, + 435334146, + 740078367, + 389715368, + 48541695, + 215571355, + 232322593, + 912349142, + 738517144, + 20543258, + 350230235, + 940844497, + 590219154, + 643439487, + 283346058, + 134440434, + 187530867, + 304132303, + 83662444, + 524145582, + 46268430, + 159062440, + 612951754, + 141582956, + 679559249, + 73689098, + 591757601, + 301987971, + 902239766, + 140096873, + 252017356, + 238842671, + 591800410, + 666839758, + 685467358, + 819632954, + 601592692, + 771167431, + 801001765, + 81897725, + 605424387, + 329617460, + 889143001, + 881111552, + 30064110, + 456793820, + 975392461, + 353001409, + 943116148, + 701230963, + 616407467, + 766380498, + 587154729, + 247113623, + 974584233, + 687190427, + 153600806, + 781655452, + 130971586, + 619225130, + 652031049, + 661761192, + 948795414, + 845199039, + 138911245, + 210930409, + 738604077, + 717543997, + 413226667, + 945613147, + 350837174, + 934072425, + 529397044, + 647500284, + 795419666, + 274203168, + 62495707, + 312906335, + 658415691, + 77768248, + 492147859, + 250716728, + 120160654, + 621979850, + 360882249, + 93476096, + 840623839, + 811641377, + 708480933, + 666252336, + 102283979, + 87812208, + 114231555, + 540257313, + 744171945, + 490065820, + 625620072, + 506716954, + 737994685, + 357937987, + 99869724, + 147026068, + 336962923, + 236456743, + 311607542, + 560489322, + 991508028, + 605716349, + 140990420, + 407378104, + 213312586, + 82656624, + 189463739, + 5731979, + 140102324, + 431902365, + 56614957, + 294599981, + 541502951, + 861632250, + 311081915, + 645273935, + 171886367, + 690181795, + 784649683, + 375851590, + 252304302, + 380304859, + 52447602, + 73667891, + 527609408, + 210950139, + 791384022, + 39393756, + 230190173, + 769165344, + 782191266, + 642448806, + 833549710, + 782531703, + 374289096, + 83343495, + 93592022, + 916492590, + 42710083, + 816936587, + 786913724, + 197468671, + 963577124, + 106089943, + 769446930, + 348920124, + 689418796, + 364687425, + 891842141, + 670056239, + 255704990, + 465712365, + 510954833, + 317912881, + 588164607, + 241239926, + 256228942, + 363091051, + 117349979, + 106589229, + 959879510, + 607175617, + 750871820, + 681895565, + 351550441, + 987146293, + 887609297, + 282501485, + 898892874, + 185450283, + 99697056, + 30294797, + 136598652, + 537047867, + 550878310, + 339901619, + 477460868, + 10729790, + 394685146, + 726108357, + 943532504, + 929009556, + 502679933, + 869592965, + 637974769, + 548674695, + 719924496, + 613167090, + 818916069, + 245273461, + 283623624, + 248072197, + 656662180, + 745586841, + 584706763, + 731716309, + 313320833, + 913739400, + 487475296, + 227995422, + 79156108, + 652069794, + 3172073, + 965758713, + 919633694, + 751077945, + 580449469, + 241945912, + 637564013, + 760725186, + 563302955, + 109183201, + 298445679, + 713480683, + 950042190, + 361688964, + 297481825, + 250583620, + 937041551, + 624869484, + 758598598, + 697399595, + 1385588, + 805460725, + 306196234, + 419954557, + 36557777, + 329026922, + 40467033, + 176964037, + 802663755, + 15296884, + 957896499, + 400714248, + 216206125, + 249878971, + 131677032, + 72987513, + 347455256, + 213311662, + 30308431, + 680771237, + 916173334, + 53781588, + 547932843, + 22262943, + 263644108, + 96670307, + 704320194, + 163942363, + 858654998, + 334621594, + 918062814, + 84251369, + 9369413, + 19273284, + 871556009, + 459587124, + 263391412, + 767864360, + 631134034, + 73069113, + 325136605, + 346837401, + 762601072, + 660648328, + 352643281, + 750457680, + 292033786, + 881931661, + 753504161, + 214175086, + 91052730, + 886076345, + 577362205, + 842149426, + 637563289, + 325997338, + 671741851, + 170342510, + 544542286, + 501442092, + 152441070, + 79428150, + 688922994, + 716888822, + 420040656, + 88715784, + 842525203, + 871990951, + 444240926, + 682670752, + 846093540, + 545950739, + 412683135, + 439541776, + 4851908, + 950600058, + 530207868, + 419036588, + 36653749, + 463591779, + 973671187, + 921624113, + 932912577, + 682160478, + 851171297, + 201861393, + 129660461, + 38339418, + 243967220, + 691480732, + 890461712, + 977903067, + 827782698, + 357429804, + 805718637, + 797892456, + 332052539, + 497155475, + 234195235, + 340986004, + 897086314, + 452570302, + 215617717, + 112285923, + 387152042, + 668376141, + 538434571, + 87634957, + 171973752, + 338488519, + 370531032, + 429781396, + 618623738, + 535377288, + 244843111, + 521919083, + 7447394, + 334514969, + 108824143, + 783054035, + 245777708, + 667372913, + 638285106, + 252530952, + 654646527, + 663984502, + 857205351, + 859467863, + 23886735, + 165600923, + 83920770, + 406716563, + 711878910, + 827448676, + 444580221, + 324111205, + 880239244, + 450807840, + 277737905, + 20893920, + 151189533, + 531804197, + 577840878, + 256734677, + 342342598, + 401725842, + 856615115, + 654923124, + 360324440, + 282541394, + 664205132, + 144335924, + 671953863, + 316879067, + 200159232, + 762154536, + 519388119, + 682213778, + 205002054, + 97677542, + 16796509, + 698215181, + 77195979, + 470190262, + 815499275, + 313843106, + 205668302, + 845658570, + 723443721, + 945832678, + 727296173, + 371513148, + 461334404, + 717004840, + 100029103, + 624152712, + 455890673, + 897060547, + 442157290, + 803068423, + 109227984, + 689108929, + 477705957, + 400582127, + 889817038, + 999680862, + 874201937, + 516920021, + 358554849, + 575406928, + 661804907, + 992723925, + 392211939, + 155268499, + 531363776, + 331863300, + 643297813, + 260233764, + 232070007, + 255729173, + 622813264, + 352834344, + 370242479, + 643642, + 643660040, + 814818480, + 996425396, + 403995234, + 857454812, + 46666344, + 19524452, + 805948940, + 952132022, + 311048956, + 526071714, + 770815862, + 695587213, + 449125589, + 787475708, + 734082522, + 455641403, + 625139490, + 735204605, + 220539184, + 130074045, + 805806644, + 429483844, + 499516371, + 842408312, + 499637766, + 856063092, + 323933094, + 40487406, + 773610069, + 860899059, + 230175531, + 549526691, + 257940658, + 756051940, + 621160632, + 217437664, + 13775178, + 862088391, + 160700990, + 928036891, + 501778234, + 173606308, + 112484109, + 584967916, + 575138216, + 776935528, + 425751986, + 143279317, + 427359312, + 577342251, + 324032283, + 35482446, + 848424975, + 522258889, + 525009391, + 741428874, + 552132499, + 437335882, + 253389060, + 237601148, + 97590597, + 500823408, + 151714685, + 487768801, + 408489080, + 331860861, + 995435458, + 249887106, + 492665635, + 609098539, + 388666959, + 493833014, + 406459155, + 403207474, + 735913372, + 217891377, + 137371754, + 529956695, + 23004729, + 902311705, + 89196574, + 60599627, + 373542083, + 427288343, + 148549200, + 210212732, + 472007085, + 712452021, + 972060779, + 627571000, + 591984325, + 551780067, + 34464828, + 991232620, + 366971725, + 622709300, + 668622028, + 500625283, + 384917104, + 394013513, + 920899262, + 440731629, + 217838160, + 871869566, + 185156805, + 541026408, + 867420795, + 6620250, + 711649462, + 742522548, + 646115660, + 539204740, + 573538416, + 924798055, + 994665597, + 414773757, + 572111570, + 154909645, + 413314785, + 329315869, + 591865914, + 254116729, + 56676250, + 628665844, + 107387630, + 778249699, + 542685621, + 516878647, + 484105992, + 998041013, + 192711184, + 99460992, + 557352849, + 494861291, + 336966251, + 584300089, + 946080491, + 359877482, + 972906416, + 768483523, + 74293108, + 709894029, + 660015618, + 514256810, + 134588350, + 674146954, + 298526818, + 122889682, + 851486380, + 436397841, + 41537415, + 721956612, + 685157069, + 971467668, + 923922426, + 857365148, + 159527789, + 735423586, + 309475237, + 283276752, + 361449606, + 923872419, + 804072893, + 12703812, + 917624553, + 258859398, + 417007768, + 515926605, + 426611673, + 293191967, + 116757510, + 372424866, + 356599821, + 87802494, + 723876547, + 853946071, + 698048166, + 407514682, + 381346139, + 370148448, + 208860644, + 661972270, + 7631392, + 255375050, + 627543215, + 639909695, + 953910083, + 723914217, + 671932709, + 137095411, + 258020750, + 117282674, + 956834540, + 458802237, + 256413569, + 34218426, + 887315476, + 84579637, + 443096283, + 133835676, + 407074992, + 294381781, + 978005474, + 683160004, + 956086699, + 388277870, + 670806584, + 725666613, + 510941979, + 123288378, + 106437580, + 187898241, + 535899836, + 63837225, + 238681181, + 488358639, + 837266185, + 473745047, + 566331135, + 227938069, + 159446756, + 624867784, + 778505295, + 271745746, + 843044456, + 434901823, + 779570320, + 861385738, + 484933786, + 426269642, + 342902819, + 362223435, + 578998592, + 409247285, + 737617979, + 97927684, + 859137900, + 712375937, + 509775710, + 935219591, + 270807157, + 223523183, + 128541079, + 145995033, + 128679164, + 343098737, + 810411899, + 226760522, + 272469946, + 670666023, + 337984609, + 171962628, + 443043876, + 596234885, + 167380992, + 791325717, + 357548777, + 245978250, + 432603290, + 645531952, + 893757789, + 206829590, + 785225367, + 848089920, + 666000362, + 548118134, + 735182591, + 691479391, + 756163493, + 214493644, + 281639567, + 799388086, + 742784703, + 861699740, + 923527420, + 370382526, + 626243493, + 499012837, + 842969844, + 945654928, + 803306724, + 970146945, + 180473430, + 525461115, + 867098302, + 814334512, + 17950786, + 531283545, + 586952674, + 457828710, + 6303463, + 179573409, + 119180585, + 133545076, + 882779623, + 876922109, + 939992692, + 76367727, + 46392593, + 136748952, + 437952891, + 803326925, + 724603842, + 408884911, + 629181773, + 735422731, + 775936934, + 511686925, + 339432922, + 71980793, + 92337480, + 936459234, + 172596610, + 331125628, + 846052132, + 971661733, + 222513475, + 874646556, + 733211487, + 493533347, + 916661983, + 6234298, + 426953771, + 930437366, + 310069624, + 572772580, + 468658316, + 831326858, + 17807353, + 268832964, + 800766245, + 797680061, + 451947165, + 629552296, + 484098778, + 682233184, + 783032231, + 522497756, + 333201045, + 430030824, + 869674954, + 934405129, + 353695631, + 408523480, + 42120626, + 850286753, + 635120488, + 173418809, + 55090537, + 221966138, + 53640771, + 594729034, + 690454273, + 720902570, + 613905479, + 911155794, + 499125460, + 830506043, + 717559942, + 857982224, + 177852420, + 752002100, + 672092476, + 111452721, + 750504363, + 625813062, + 134135546, + 486770612, + 487178704, + 172857836, + 228962956, + 510382936, + 28869933, + 135047273, + 123603613, + 618821730, + 836614346, + 562284171, + 669390851, + 258429715, + 111618682, + 907647146, + 55868476, + 692294543, + 266144336, + 805531912, + 823281732, + 178395080, + 947546472, + 719310330, + 882464072, + 423253260, + 489904736, + 747775470, + 308013537, + 18067916, + 804613582, + 657161369, + 476710557, + 972721949, + 166791831, + 77788604, + 910287421, + 73806271, + 904825609, + 65726586, + 833275190, + 314070097, + 776612819, + 673105969, + 128028511, + 141038747, + 502908002, + 216261632, + 437761987, + 281613477, + 240661756, + 629547358, + 310382054, + 813395932, + 25106105, + 459484006, + 772017673, + 819185806, + 799343864, + 290217771, + 530642280, + 446170254, + 86880299, + 494090809, + 5529173, + 59037265, + 722181576, + 474054662, + 890388297, + 187603474, + 708631987, + 296634762, + 323732703, + 441510474, + 531925395, + 413667481, + 8130239, + 82949621, + 122254017, + 505703677, + 173826147, + 652211269, + 224882654, + 744691815, + 111489527, + 393158505, + 312587464, + 308556464, + 730094442, + 204851902, + 436127127, + 645218235, + 808751948, + 873664179, + 57399696, + 339589318, + 74862241, + 517766174, + 717226417, + 518470300, + 418418262, + 184289171, + 947307320, + 291737747, + 319095893, + 759875535, + 765951477, + 908772535, + 501345951, + 90518298, + 451696862, + 434509180, + 109570056, + 342134865, + 578469742, + 636132282, + 24917896, + 950996074, + 222104618, + 186442741, + 602743056, + 619172466, + 389518718, + 134794099, + 519401811, + 569068839, + 504226539, + 827578595, + 122380983, + 906308778, + 187114948, + 668064372, + 683272235, + 31323124, + 19054753, + 973413119, + 140659418, + 371591845, + 85452784, + 635741625, + 820566074, + 522855192, + 373678247, + 299441975, + 760643921, + 292545509, + 421738045, + 634784980, + 967750348, + 526220142, + 785495639, + 483508149, + 912652588, + 67214985, + 310952145, + 248780061, + 161554277, + 311733629, + 733489223, + 307554410, + 227423316, + 416116587, + 410475564, + 288850260, + 733833234, + 451493567, + 990627054, + 500407468, + 678537361, + 255554749, + 715888460, + 252194861, + 909408253, + 860631398, + 64874418, + 878022956, + 724825210, + 954738995, + 439348997, + 831597143, + 454922377, + 212654997, + 759570, + 723311351, + 131197009, + 664606273, + 895365655, + 157510762, + 775378642, + 114524747, + 370252969, + 569455678, + 517036829, + 885017461, + 866212222, + 717798387, + 479731361, + 92276538, + 741333894, + 995355301, + 451379494, + 882088419, + 705279707, + 217021834, + 116753174, + 469282918, + 294399813, + 48194704, + 15307114, + 555296817, + 149986660, + 988378941, + 326012774, + 987107498, + 154821470, + 897937775, + 360215862, + 523867796, + 515805536, + 992915995, + 504190684, + 278883547, + 267133893, + 611220371, + 626162839, + 289214463, + 207263544, + 21921778, + 920850022, + 454415038, + 109756135, + 699877872, + 697116451, + 401911980, + 777032384, + 985452430, + 382089998, + 138462226, + 989307716, + 286610409, + 701863534, + 272441664, + 474857990, + 903139143, + 667779314, + 71136163, + 816509900, + 775846007, + 677444449, + 325479799, + 338661137, + 781499098, + 872121463, + 892227029, + 130849340, + 903290512, + 551229024, + 835050421, + 925955070, + 162960301, + 705799242, + 758872074, + 489660366, + 480135656, + 538751334, + 521528696, + 396996424, + 839910942, + 963233502, + 324738329, + 559067898, + 655057954, + 812265702, + 53950299, + 599022071, + 726775209, + 739666441, + 385263780, + 875426269, + 349448739, + 292939654, + 740813083, + 763017916, + 966610396, + 235396534, + 345953253, + 21122814, + 152347089, + 281145934, + 451233673, + 915769204, + 222249966, + 663202679, + 767985340, + 171098894, + 883058722, + 880418520, + 733343915, + 288507051, + 853643356, + 125523625, + 525155198, + 597991, + 303719826, + 740239895, + 284708958, + 992343595, + 91881470, + 298016169, + 350384620, + 359213832, + 697549611, + 944174670, + 552275067, + 810661269, + 882244626, + 614146217, + 464310826, + 261819603, + 411901237, + 381011098, + 700256932, + 39975463, + 725630177, + 771044779, + 472725591, + 48442435, + 739904486, + 434255617, + 26881058, + 727070626, + 989782361, + 959544863, + 841092477, + 783693910, + 846552889, + 4971498, + 649132079, + 912347877, + 421656595, + 865071251, + 302100273, + 379708133, + 602958695, + 915263198, + 930383775, + 216864065, + 93430322, + 69430195, + 356915364, + 850018899, + 240905838, + 314408532, + 131906928, + 702117465, + 88415019, + 701965936, + 336837718, + 210940720, + 701964121, + 695379034, + 991094537, + 562792449, + 27322845, + 962950752, + 272287919, + 897985566, + 432304440, + 576567349, + 905712256, + 431716057, + 387607587, + 691748730, + 707612389, + 508209647, + 38044283, + 233804943, + 7626539, + 336354874, + 753389637, + 806882826, + 115198018, + 898017994, + 405643696, + 680486528, + 618520395, + 277887238, + 626974844, + 312116083, + 853862213, + 818073820, + 774711033, + 464849194, + 964438463, + 40501391, + 537224568, + 6022963, + 900721565, + 216681209, + 745418864, + 522296151, + 785134800, + 983221473, + 944163245, + 838108835, + 217688309, + 731234913, + 96702736, + 119771112, + 95717056, + 295197810, + 344753144, + 259736236, + 560061377, + 774148425, + 989732269, + 195570326, + 321622502, + 693526359, + 321102851, + 54817321, + 754864168, + 538599992, + 320395341, + 632494815, + 383976558, + 455957246, + 621703228, + 209621412, + 452001247, + 410792984, + 771858854, + 825721751, + 7906944, + 197009266, + 777964645, + 542078297, + 663280456, + 577087983, + 642068517, + 559654110, + 486229459, + 788516331, + 497690196, + 254306652, + 645524793, + 645894391, + 662575747, + 656472683, + 21752048, + 661880902, + 861346874, + 442194253, + 906291022, + 244766293, + 712383311, + 939911139, + 938221742, + 522341582, + 340443487, + 884121741, + 222124929, + 594794702, + 699422441, + 620599897, + 946520662, + 403085482, + 919405131, + 990824065, + 967217835, + 950773349, + 127642454, + 622330563, + 89626190, + 729536034, + 694830010, + 353261694, + 956002349, + 195367552, + 572798073, + 741149140, + 726082262, + 729994675, + 313532900, + 246802923, + 737618489, + 746522255, + 493381615, + 812640286, + 815385220, + 422902891, + 44470188, + 140303431, + 517009008, + 830664058, + 87393405, + 121940457, + 80538188, + 239846785, + 39284265, + 359250248, + 359317437, + 533759100, + 667837736, + 820122622, + 333959643, + 997504658, + 901740026, + 571006131, + 145853815, + 176517262, + 420160662, + 29299797, + 729392233, + 161524156, + 597633823, + 239435335, + 597868529, + 460542119, + 361117790, + 319155827, + 121360617, + 536868982, + 462210240, + 429589411, + 78449619, + 113035797, + 99602065, + 19138309, + 209802369, + 195102206, + 268023867, + 201721637, + 777522735, + 407015514, + 164074996, + 724955725, + 618351933, + 914455767, + 538314180, + 691917778, + 258874392, + 399758611, + 241304507, + 187200022, + 310795325, + 190987541, + 81126699, + 572935573, + 131085516, + 319180750, + 56379446, + 873339119, + 172205536, + 219619010, + 104801832, + 632696598, + 818793892, + 521927635, + 610924859, + 563932571, + 106914467, + 47369864, + 51392109, + 286628834, + 415527984, + 474546165, + 404538676, + 719722748, + 680183541, + 107451518, + 910764238, + 356293529, + 211900596, + 683936545, + 436701331, + 700305542, + 721765147, + 956127743, + 962090723, + 400095954, + 473305511, + 730976536, + 579156990, + 548245596, + 319729880, + 22006638, + 631146282, + 534409814, + 518966614, + 707692314, + 162463571, + 461586460, + 638667896, + 534769546, + 483942380, + 391779352, + 542697086, + 670333620, + 54276904, + 684068150, + 982538689, + 832691929, + 938043726, + 986811857, + 76932318, + 404429816, + 243678551, + 834215626, + 154186605, + 854971665, + 672247517, + 793173783, + 873179570, + 490534907, + 494871306, + 490491941, + 824664384, + 68612686, + 856603846, + 663752611, + 603851212, + 142143587, + 647084914, + 820937700, + 393535803, + 563712680, + 751352907, + 866554800, + 746512419, + 818642943, + 746130168, + 147131514, + 720611436, + 895140563, + 701608295, + 761698125, + 419364201, + 38622472, + 635250190, + 812079944, + 528170346, + 796742183, + 629000690, + 840930530, + 990755987, + 225717945, + 6096473, + 107166464, + 587159469, + 940452748, + 683502454, + 284718220, + 638888120, + 986823629, + 424621738, + 286002502, + 923886755, + 837601440, + 436479720, + 883321931, + 212400077, + 84343811, + 594433398, + 232602972, + 411706845, + 58239013, + 960124222, + 715270869, + 337439664, + 851855818, + 146467174, + 733838816, + 86933039, + 857499178, + 94926064, + 421682230, + 633202201, + 586448668, + 270788634, + 885799901, + 267143807, + 284771917, + 623054728, + 819852752, + 322668552, + 472630841, + 126023343, + 733512885, + 57006572, + 472185220, + 848916436, + 586372736, + 140586999, + 100798050, + 727668954, + 304781355, + 18286096, + 83688457, + 855581148, + 276643748, + 555591199, + 75193990, + 220356710, + 484516442, + 487322364, + 232321239, + 314409304, + 424888664, + 444855104, + 718014097, + 295878006, + 507162235, + 145459265, + 108303652, + 492402948, + 831914635, + 110040502, + 325976105, + 285040187, + 861443256, + 186388050, + 794170164, + 735769834, + 853375164, + 899352049, + 184897007, + 51207762, + 389041049, + 668719878, + 491722806, + 672050722, + 225539449, + 48370819, + 778965215, + 761196731, + 564448201, + 287102539, + 991518446, + 555709102, + 238514273, + 126468640, + 346637080, + 640342, + 876255496, + 227778411, + 887086122, + 951642312, + 658383965, + 387567857, + 701017358, + 96133025, + 526442193, + 39363286, + 654843532, + 932019066, + 52791620, + 289899806, + 132492939, + 378474892, + 853108611, + 10536789, + 887354348, + 100392780, + 29172133, + 964463816, + 941380131, + 372593929, + 328685842, + 514932337, + 239580185, + 582771077, + 188679585, + 244314258, + 883214, + 882029049, + 136229142, + 440181293, + 659684598, + 345207451, + 209837013, + 165831311, + 367539369, + 510946714, + 97264874, + 84792435, + 489421617, + 947876694, + 345981841, + 814750774, + 498751363, + 509812584, + 176056844, + 199384022, + 377438809, + 71734298, + 458550537, + 162216822, + 846234563, + 32083519, + 561540687, + 271450347, + 573760913, + 23054491, + 486551866, + 708176113, + 545054940, + 730303868, + 946752911, + 898097592, + 801980503, + 193803535, + 738062025, + 132249392, + 845013165, + 89245132, + 836561109, + 836684708, + 87722634, + 823059794, + 376055479, + 436437778, + 950371137, + 479754188, + 440570680, + 368434694, + 355851500, + 417129157, + 333004439, + 875606246, + 128827282, + 905861252, + 749464542, + 976692161, + 856737283, + 224337812, + 321595139, + 971014074, + 388952801, + 537116131, + 650509354, + 282507516, + 775063621, + 211766803, + 677911548, + 924028240, + 205277205, + 889867325, + 857192005, + 96214936, + 639575729, + 177223155, + 860484440, + 645789872, + 588959811, + 465008050, + 649468058, + 12783376, + 49565888, + 377503550, + 704130162, + 752625437, + 36333350, + 134600366, + 647579316, + 827565862, + 788096689, + 495749788, + 790383012, + 66298270, + 80186741, + 701730185, + 476827737, + 344290233, + 423828995, + 734071423, + 747509500, + 968434707, + 229471079, + 866633212, + 755426237, + 396775694, + 762479393, + 924205838, + 893388905, + 374315730, + 937381609, + 946789913, + 22422793, + 598209905, + 441381147, + 100508387, + 420209568, + 493380103, + 538598814, + 410706676, + 857254058, + 823212159, + 281271258, + 124595404, + 794941896, + 225709888, + 133894881, + 202094706, + 779551548, + 36687403, + 343002359, + 202938297, + 47845821, + 439497238, + 113534549, + 993836179, + 381605869, + 38287682, + 638144034, + 384961915, + 625952374, + 895803110, + 939552350, + 931989380, + 594756238, + 86896043, + 4476371, + 200620444, + 273381922, + 515198858, + 967516245, + 344172438, + 669670402, + 593484157, + 938208898, + 660610991, + 183374408, + 999869451, + 838880333, + 114368650, + 438722497, + 169685040, + 398284527, + 296928632, + 266426420, + 712039823, + 570349110, + 805392418, + 953868370, + 834566154, + 93927377, + 18654787, + 931358769, + 608415607, + 893858812, + 875978175, + 987823105, + 622060480, + 387840395, + 444764206, + 840340618, + 821888958, + 948029829, + 764348226, + 856915849, + 660607827, + 711365348, + 249888296, + 459931212, + 631587405, + 887995022, + 262605203, + 126390792, + 378891836, + 718555690, + 11387043, + 524791519, + 912584618, + 986664869, + 855133424, + 986137719, + 814660128, + 712348464, + 773543533, + 199784558, + 453624286, + 823724949, + 654197057, + 575805209, + 22465468, + 560351200, + 934205288, + 902646505, + 598710569, + 102963922, + 108726978, + 133179127, + 731774159, + 30999031, + 14608324, + 217960601, + 567814349, + 86840009, + 410544741, + 556072815, + 726372795, + 740142077, + 768395414, + 485795606, + 662145899, + 566973373, + 324023470, + 984424679, + 571551177, + 754189879, + 509539432, + 370381635, + 12221226, + 342618407, + 588241548, + 128470319, + 787298456, + 142142554, + 771519326, + 531906079, + 606219804, + 699919029, + 790896276, + 163628536, + 131916199, + 131582796, + 551725110, + 162756141, + 323012598, + 710406341, + 831649752, + 824110803, + 200001609, + 473065974, + 118626445, + 715344412, + 395919787, + 554460369, + 556583161, + 236370746, + 173144909, + 643915931, + 24822291, + 558466471, + 129206596, + 859204679, + 886078021, + 904196308, + 848492402, + 765262631, + 399193745, + 779369707, + 899540028, + 107366087, + 896288149, + 989716692, + 458470929, + 591824917, + 171639004, + 816235581, + 410501137, + 10328734, + 258508522, + 258928093, + 987835603, + 82622933, + 37251170, + 710768498, + 327060689, + 604132067, + 744821382, + 182543560, + 701211587, + 784440865, + 872099873, + 728661974, + 756055088, + 895123637, + 583502856, + 154135621, + 375846676, + 929700577, + 195312775, + 836243218, + 893402969, + 499316964, + 384331403, + 91739242, + 230511450, + 234908546, + 951194191, + 685463719, + 672369015, + 8591732, + 421606504, + 994164273, + 231642760, + 739183363, + 291333220, + 649452581, + 325278615, + 299816826, + 298496222, + 331240338, + 716064635, + 800157801, + 924900761, + 100002861, + 850824126, + 251274881, + 810573405, + 772944834, + 387314549, + 197129060, + 291398181, + 437283361, + 426709266, + 126872501, + 256070220, + 413878008, + 794100285, + 541979393, + 562577971, + 804554804, + 858904420, + 263995678, + 440219778, + 840227854, + 857836140, + 801441747, + 330010659, + 267679411, + 196602178, + 914064380, + 648797638, + 83691150, + 973221213, + 525930113, + 710788644, + 588904712, + 454568806, + 367880697, + 734278103, + 235244665, + 881516791, + 63308297, + 328311799, + 712099517, + 640484167, + 407757637, + 423576467, + 198213428, + 657369589, + 157008730, + 694462989, + 38016203, + 664283743, + 566265230, + 957552147, + 585469781, + 878729925, + 123283897, + 371401540, + 353589668, + 783681170, + 663104433, + 380214533, + 685206697, + 273440283, + 594320771, + 85957129, + 96311794, + 875836702, + 204154993, + 666386391, + 715472589, + 913017246, + 973484183, + 574241592, + 528617626, + 463226868, + 588065289, + 600858743, + 342557678, + 396484004, + 639677541, + 915983874, + 396242834, + 802236180, + 662100045, + 994717362, + 829359929, + 82624681, + 359278287, + 980231182, + 603373215, + 782935958, + 239455058, + 687375205, + 345703364, + 35271873, + 326827742, + 542691403, + 303286372, + 923124583, + 232711794, + 861915624, + 782685470, + 443231754, + 616253683, + 40615286, + 382408637, + 775481427, + 279593697, + 334618563, + 853367860, + 950103033, + 863858747, + 670946915, + 734062146, + 990444469, + 421594302, + 529840467, + 401180143, + 695600764, + 544860842, + 614790974, + 765564258, + 483726591, + 842737082, + 577368052, + 392709369, + 204395246, + 549502105, + 305667103, + 158963730, + 893378081, + 58789146, + 310625959, + 499555778, + 93587, + 574765447, + 671214934, + 510997651, + 267576315, + 16363114, + 353452381, + 318290623, + 935422310, + 990033076, + 367697743, + 206472232, + 765782274, + 174010513, + 403849897, + 85032655, + 631339718, + 315373280, + 710924405, + 640007919, + 813317471, + 669341530, + 135270586, + 27307807, + 409610407, + 886372765, + 244880853, + 635611423, + 332734445, + 121579684, + 398985077, + 814386065, + 850271684, + 983882324, + 3113426, + 748030310, + 324921381, + 122959497, + 280005488, + 425363359, + 29459623, + 111319179, + 10207115, + 558634318, + 683913364, + 841138938, + 632234357, + 249857093, + 923951877, + 362530454, + 13774722, + 699741895, + 272465161, + 973591919, + 759784245, + 75535176, + 477486088, + 582484229, + 817467152, + 564487475, + 622520423, + 603779404, + 771109959, + 27467153, + 636290716, + 823043340, + 875427909, + 418298615, + 723236483, + 72724371, + 81905821, + 793670717, + 80101737, + 503839691, + 620046967, + 508915286, + 930557011, + 723991493, + 748542756, + 393109702, + 167755067, + 428292515, + 969108653, + 464656327, + 162961498, + 303433350, + 75208470, + 407453106, + 853502034, + 875066993, + 296100677, + 777780093, + 437372145, + 924434051, + 496902231, + 102145325, + 745480032, + 553119587, + 409946069, + 348286530, + 945847267, + 541433023, + 555134290, + 249295696, + 354599092, + 148276785, + 427132965, + 747835349, + 169595789, + 961791109, + 849728251, + 668601919, + 297300702, + 506122006, + 377228176, + 901899043, + 736088603, + 687100763, + 797502091, + 63248853, + 95293009, + 248019177, + 56897017, + 32918564, + 658306706, + 321266059, + 982220756, + 332594198, + 232946594, + 464214519, + 850548580, + 642831215, + 488088741, + 973109032, + 333728429, + 86837813, + 204155692, + 99035314, + 289403700, + 617798760, + 867292180, + 401633552, + 10632021, + 395255280, + 706904397, + 445627590, + 221611275, + 732963760, + 692262107, + 685086818, + 534556438, + 415244651, + 911783420, + 990334226, + 322811485, + 781278460, + 847438890, + 500173071, + 958723401, + 819251475, + 560830353, + 112270609, + 252806452, + 186938096, + 584463321, + 276773482, + 134538236, + 17648178, + 439351309, + 147192221, + 216621940, + 936112052, + 278339961, + 32947708, + 39039732, + 278324860, + 271558070, + 754528190, + 517773187, + 792034230, + 957275304, + 24327563, + 804601988, + 983883678, + 851433097, + 536650674, + 170055632, + 389731590, + 890049220, + 744001240, + 211412551, + 948400959, + 705431614, + 564351180, + 283841338, + 775637162, + 316498145, + 140443180, + 626558016, + 700063619, + 528065930, + 765119219, + 34570267, + 36300001, + 804044889, + 418247823, + 800837613, + 632648533, + 881901307, + 102088175, + 439124161, + 216603347, + 213459302, + 22418429, + 293020113, + 772818769, + 632749761, + 12919466, + 613498789, + 962722463, + 34761328, + 261989538, + 914102928, + 963111010, + 976672026, + 968699190, + 412451737, + 342100374, + 774461202, + 405722125, + 820147651, + 923945413, + 878990251, + 840979183, + 101722750, + 401255939, + 264072912, + 94987716, + 289778809, + 668898693, + 116779991, + 907669464, + 428226916, + 244306465, + 135796586, + 322135415, + 771292865, + 475976687, + 474146964, + 178565543, + 915054248, + 88479425, + 196138115, + 645579002, + 426508394, + 311937265, + 1633321, + 548012166, + 938555654, + 143060254, + 558332504, + 65239750, + 106784502, + 360948834, + 759828407, + 816675686, + 243295912, + 885847243, + 384693362, + 879762178, + 918540178, + 98439086, + 493871618, + 723796105, + 567832412, + 141891609, + 712901035, + 579161618, + 378623324, + 677622264, + 458535377, + 367843870, + 613453594, + 364666621, + 508929549, + 190109504, + 103126716, + 406873840, + 710221469, + 569007468, + 632388642, + 415583820, + 512922108, + 337560010, + 238585124, + 481503504, + 197800144, + 949547444, + 438926075, + 181903280, + 352515548, + 987197422, + 741903900, + 723255722, + 2877815, + 528549205, + 253181555, + 957453774, + 976059202, + 676526638, + 99427773, + 730067617, + 826489985, + 419985441, + 993960862, + 889003320, + 143687818, + 130326880, + 860958948, + 9531557, + 72293840, + 689443177, + 650946846, + 361514173, + 329036014, + 917344491, + 985959228, + 352715460, + 796313073, + 821889896, + 308955665, + 464672140, + 209084846, + 241899601, + 998539171, + 98412887, + 251424471, + 468111615, + 320010255, + 609068161, + 494015543, + 137704139, + 193417614, + 875643299, + 439235546, + 321759095, + 651253897, + 29895155, + 33827110, + 202891541, + 175584663, + 843457348, + 823919403, + 621105621, + 708796051, + 73063292, + 647111168, + 752337850, + 764854109, + 232573403, + 956840575, + 197859504, + 687414367, + 262838322, + 255739363, + 543681389, + 848006483, + 716450898, + 267196919, + 921445195, + 849639244, + 908285621, + 670001007, + 380988952, + 231364478, + 293366893, + 213770150, + 126724603, + 333464015, + 945020444, + 3096392, + 765322298, + 437165816, + 982022454, + 398670322, + 260441940, + 62744703, + 13844313, + 302556302, + 902227738, + 597992339, + 692820955, + 828503622, + 24136669, + 437260131, + 165061996, + 27821333, + 611061557, + 115770802, + 807628609, + 147138930, + 966818012, + 363401728, + 989362491, + 141653290, + 756624585, + 405880717, + 787045487, + 130113089, + 247018620, + 816505780, + 737978909, + 138336556, + 19717666, + 851511778, + 160656185, + 743001292, + 673580770, + 832978922, + 11679580, + 841551469, + 73567220, + 264905736, + 410986849, + 46768355, + 642265346, + 513821785, + 303874330, + 900319389, + 956699296, + 413136022, + 366058272, + 346302727, + 600987145, + 50896235, + 82482047, + 612744378, + 823383903, + 535600152, + 714443084, + 616206374, + 82818359, + 538416320, + 61124843, + 41823917, + 208399872, + 356909220, + 129307256, + 620653895, + 923422236, + 944595885, + 341513983, + 311645837, + 815635289, + 870990779, + 700688754, + 647033435, + 570441673, + 663758090, + 665375270, + 360631941, + 645749245, + 915737500, + 470170472, + 644878331, + 132805531, + 38635541, + 964505155, + 637535879, + 871247824, + 766945008, + 643863409, + 808325863, + 227118845, + 932255828, + 943329173, + 567995345, + 481130098, + 559543763, + 363635008, + 290771177, + 385652410, + 756996880, + 25810468, + 179334639, + 74200409, + 910058875, + 588965933, + 199050458, + 670859976, + 106777387, + 258540389, + 849411233, + 902123762, + 322943576, + 954663564, + 678372921, + 387818349, + 24530465, + 134111767, + 827319103, + 401353590, + 121266292, + 858090697, + 235170497, + 843634116, + 372269721, + 141622814, + 142626893, + 553812724, + 711642722, + 676524264, + 982213974, + 652356647, + 429837371, + 952839867, + 898578837, + 773589495, + 485405977, + 307833730, + 830424506, + 416437242, + 324420751, + 648010923, + 97165472, + 727812363, + 635612863, + 223724830, + 928122200, + 437044460, + 19049119, + 624502997, + 220946006, + 679294013, + 759692275, + 189451026, + 829035054, + 188725819, + 389567777, + 61574997, + 456002731, + 773435353, + 240449927, + 972808418, + 440971660, + 767437680, + 112245054, + 864677117, + 760122107, + 656037047, + 203076124, + 550222476, + 8715494, + 712745129, + 126585446, + 361142130, + 781688257, + 729539971, + 868681643, + 86902866, + 886040633, + 91528540, + 493082944, + 691102501, + 524577136, + 204392477, + 433056474, + 74459052, + 794147767, + 613278827, + 69520917, + 935990524, + 956540907, + 956950731, + 961084876, + 142346982, + 868203937, + 39915912, + 866668509, + 302501964, + 550108044, + 417345932, + 835547681, + 10574508, + 286723556, + 118226749, + 213298184, + 459442082, + 493577317, + 183184897, + 13183631, + 749965073, + 16082113, + 704078635, + 297181893, + 379138617, + 207359536, + 826645876, + 160821168, + 206549932, + 213413447, + 762206029, + 794330097, + 805900423, + 791875535, + 851788657, + 473369390, + 5019590, + 766933340, + 592408319, + 503886946, + 273695337, + 130022626, + 234453069, + 581380037, + 785596724, + 461851245, + 941518314, + 146726985, + 764940696, + 721439023, + 596489130, + 825889273, + 305366197, + 241803410, + 416147553, + 953247016, + 711594447, + 449543843, + 798036064, + 192023192, + 161693853, + 431053120, + 144989949, + 232887852, + 93338230, + 928517143, + 227351087, + 871685720, + 875674283, + 957396949, + 768920881, + 873353714, + 260103103, + 589874921, + 413934249, + 175884174, + 148648425, + 249357998, + 883112264, + 402875393, + 199454803, + 894615630, + 729249012, + 926116502, + 309860028, + 532011155, + 583013444, + 586875001, + 204813871, + 301522698, + 732717169, + 993064903, + 759209899, + 479643634, + 631481496, + 234715512, + 180084174, + 608959402, + 124290661, + 730828788, + 971644280, + 868303749, + 494584497, + 899957718, + 832301033, + 224459849, + 599465199, + 474852188, + 772018238, + 708442134, + 311090502, + 249904010, + 915425304, + 702722924, + 703392253, + 766122909, + 671059791, + 733426629, + 603952706, + 536633193, + 234839651, + 572606725, + 265366205, + 89410873, + 891504482, + 177470507, + 420368832, + 830226339, + 43701758, + 10436046, + 741302837, + 660793760, + 711123687, + 866107266, + 466192773, + 696571436, + 383649299, + 253162522, + 846658159, + 61824447, + 678542978, + 774230302, + 369452187, + 106245723, + 235179563, + 899912525, + 657775133, + 494999314, + 250197993, + 8780966, + 473470138, + 832921224, + 664701193, + 256885685, + 597427809, + 434829006, + 952107675, + 619632964, + 614730157, + 21508788, + 222286935, + 669595047, + 22492463, + 33480479, + 140641744, + 162815769, + 418484294, + 540957252, + 113067229, + 771625998, + 247335022, + 618158390, + 565959167, + 566093190, + 962413993, + 438517582, + 88101480, + 94805432, + 177350721, + 789018538, + 869721448, + 636065980, + 76491972, + 526307758, + 100116781, + 564268252, + 925456733, + 206926031, + 40117869, + 567721441, + 284129189, + 595575218, + 443113646, + 331726952, + 718368293, + 626802014, + 124245225, + 438574704, + 719213003, + 186849335, + 539673806, + 843446924, + 735758066, + 682278629, + 137731194, + 377169539, + 609136298, + 793100953, + 981360811, + 666133274, + 30994236, + 28842307, + 207178577, + 596341800, + 819841326, + 9488778, + 245407971, + 657787493, + 227895910, + 945607323, + 532889052, + 294940995, + 774757815, + 552725875, + 281147851, + 8220609, + 714020570, + 827675104, + 200957306, + 70800236, + 615154244, + 214123452, + 413607831, + 435556643, + 918856749, + 590391206, + 884421150, + 935271868, + 805484798, + 759989465, + 351776455, + 396635311, + 315833226, + 75761736, + 233800131, + 882040674, + 595215391, + 340483382, + 94784085, + 119781751, + 982980471, + 342494288, + 471055246, + 659487834, + 159911711, + 997905463, + 118342457, + 566877198, + 813572085, + 972898879, + 101564965, + 855611308, + 811558467, + 191082073, + 698938287, + 469590044, + 237550595, + 425138348, + 857880945, + 328845580, + 709700434, + 885793286, + 776214353, + 884264611, + 581974400, + 845060807, + 648611268, + 228545752, + 384310795, + 51851221, + 601950025, + 233179272, + 13972242, + 380141707, + 6161991, + 729817051, + 468968682, + 262923971, + 344768907, + 808731440, + 312272615, + 791053049, + 928026969, + 270430627, + 613410777, + 297116191, + 934872535, + 614359616, + 351748332, + 34841598, + 204096049, + 248818011, + 483627223, + 686981747, + 64851789, + 30355940, + 107340628, + 713492991, + 475945043, + 943762379, + 51470488, + 274617816, + 918434326, + 967539906, + 9960391, + 647096709, + 870671695, + 284036824, + 195256249, + 802360310, + 758747265, + 84409471, + 472091497, + 845021082, + 746556848, + 494710543, + 3183234, + 337465251, + 145568610, + 130817388, + 386011207, + 502690292, + 323753213, + 317727037, + 759213248, + 221248475, + 495444814, + 973506433, + 617391151, + 53292746, + 381593192, + 385035739, + 138361640, + 939912136, + 362747712, + 319290219, + 51632964, + 351333241, + 99398118, + 64384543, + 636796185, + 825476017, + 611703624, + 329523055, + 888972273, + 142454668, + 873213030, + 564501373, + 238274389, + 886622760, + 991038296, + 471327572, + 288673186, + 164481026, + 294313334, + 174631922, + 958015244, + 727784516, + 355093404, + 222039741, + 676260336, + 361087302, + 560050763, + 902797717, + 306106009, + 699868183, + 169561723, + 800517245, + 152145578, + 284015561, + 532140528, + 972681274, + 369044568, + 486320429, + 820085736, + 868329339, + 708301963, + 340712138, + 853232939, + 154792383, + 355141670, + 205267283, + 98767705, + 166824770, + 794836594, + 784388300, + 317787271, + 449795530, + 606270852, + 676811270, + 355100151, + 675298964, + 319932367, + 3979637, + 5703240, + 52575838, + 915175672, + 514124531, + 996131467, + 760613483, + 721904279, + 344509203, + 437366028, + 750455012, + 281392524, + 122965627, + 626806845, + 660931454, + 566092012, + 160922470, + 749171113, + 584572733, + 706287283, + 317791907, + 938848431, + 19507816, + 970678483, + 229685118, + 338407941, + 345991741, + 575385466, + 321273206, + 316449194, + 967226837, + 977508451, + 518490768, + 182401862, + 414633146, + 103831885, + 286116213, + 773170122, + 979220704, + 11668335, + 116695346, + 86406546, + 876782082, + 199170765, + 310740665, + 278652891, + 76505865, + 293591316, + 97037405, + 549369903, + 416482327, + 261746564, + 751983301, + 756217620, + 691186984, + 481440632, + 359117273, + 529813237, + 212074815, + 691873855, + 196125323, + 620577542, + 594993428, + 85274947, + 709315039, + 104293799, + 52975829, + 510720081, + 394840919, + 676048279, + 644848292, + 554980997, + 580477762, + 551079875, + 229456353, + 201801700, + 37075847, + 220811838, + 572215069, + 328594004, + 691211279, + 405920547, + 668397732, + 418068789, + 660843325, + 493885415, + 435894513, + 969861602, + 587040858, + 562180335, + 883320047, + 692110642, + 836093524, + 118919332, + 532099825, + 123002159, + 748456994, + 729855077, + 485600793, + 85739305, + 106760944, + 91573169, + 182478393, + 853471073, + 96057820, + 501608503, + 100481816, + 343452486, + 987012275, + 238280583, + 796046819, + 6799607, + 351452566, + 588850020, + 840476369, + 759970958, + 113986758, + 495724605, + 762562777, + 425528197, + 376366658, + 484617777, + 337729756, + 191588987, + 68687597, + 331526091, + 83320812, + 532064120, + 125128897, + 3043667, + 543082567, + 79777788, + 130927166, + 739478821, + 138865336, + 806975536, + 138621330, + 251565828, + 439436118, + 414009063, + 166433384, + 817531892, + 187550248, + 176381894, + 59816427, + 357001767, + 690897445, + 822325898, + 635222664, + 905173951, + 449696052, + 649724479, + 498201941, + 935856279, + 829801070, + 852444469, + 566146561, + 738151313, + 581790790, + 942701190, + 745594872, + 277123073, + 688072662, + 157919513, + 86501526, + 596012613, + 188910883, + 981607915, + 396530858, + 439997751, + 960403243, + 933862785, + 992635975, + 761896074, + 778733943, + 733474824, + 382298750, + 779547377, + 379295984, + 45222728, + 793316156, + 292535745, + 321434795, + 488320652, + 355626767, + 474355426, + 622093108, + 311376144, + 775566901, + 178865806, + 103696549, + 175422751, + 399490598, + 445605495, + 34196418, + 625157259, + 415083907, + 28837441, + 839136302, + 409548241, + 816889953, + 78357668, + 866365289, + 177313005, + 840005311, + 669068786, + 131498735, + 889248577, + 631128643, + 161254128, + 666088113, + 430687171, + 44348150, + 209139038, + 606488053, + 821079442, + 348540942, + 601287885, + 825768861, + 954622027, + 749958021, + 810599834, + 998722234, + 273289056, + 721569461, + 238785754, + 48413915, + 107475657, + 739072347, + 724892904, + 873510742, + 329425141, + 240430917, + 109467417, + 847802570, + 892853386, + 547102090, + 710270224, + 182221766, + 146426304, + 368294472, + 716696792, + 556514132, + 668723337, + 653381559, + 199082178, + 926413589, + 319010140, + 805878740, + 210869267, + 463671604, + 408297125, + 934721348, + 445715380, + 99894889, + 737223699, + 428463935, + 817580614, + 875224484, + 787391965, + 969059647, + 718229330, + 109746605, + 660257825, + 878037691, + 389395330, + 45796366, + 358199037, + 98054020, + 928727027, + 168280246, + 485224229, + 578390674, + 142367908, + 501718703, + 9401630, + 116796145, + 988017857, + 506112986, + 306097244, + 898470902, + 166183458, + 768999962, + 780785138, + 667013109, + 814864737, + 835818540, + 290800018, + 106037850, + 264023459, + 897463435, + 628791911, + 529694880, + 899900375, + 663695687, + 865946883, + 878915422, + 485792710, + 351826191, + 134112359, + 878348318, + 114712065, + 818018079, + 968145016, + 496178166, + 80716071, + 938720158, + 566898123, + 669847307, + 230180053, + 142757050, + 137513344, + 53226811, + 20442883, + 829789748, + 449692049, + 750068432, + 794437590, + 324386234, + 549335550, + 973990640, + 783478128, + 694706156, + 116633977, + 668337867, + 688446952, + 372835633, + 226789162, + 456869793, + 97554850, + 893773806, + 108074825, + 564164181, + 178508470, + 712227058, + 125289244, + 994867594, + 233853414, + 440232357, + 84974815, + 561533947, + 607789403, + 120987194, + 417569521, + 503285453, + 10880317, + 281345536, + 597115486, + 192385710, + 772715416, + 239442142, + 164333731, + 884807963, + 231798682, + 672967463, + 484726372, + 581769052, + 586564323, + 631756829, + 731181998, + 764950027, + 402703700, + 127354818, + 470204690, + 994846084, + 373795026, + 92264081, + 415204840, + 881411154, + 977904798, + 481984660, + 207443873, + 88290977, + 950900051, + 37947971, + 69024573, + 636782454, + 447190373, + 178239953, + 888687147, + 625570485, + 585137573, + 142329450, + 492085560, + 298271257, + 673314500, + 532097678, + 260884868, + 943687504, + 972571729, + 748274253, + 955841533, + 752010386, + 544429464, + 951772021, + 830591353, + 498656168, + 23263853, + 749516158, + 12045170, + 331089984, + 741735061, + 428948340, + 551381557, + 236630221, + 793436138, + 550313991, + 390865276, + 340011346, + 527426032, + 520400887, + 468673327, + 237000480, + 589350680, + 214860372, + 643224437, + 962536790, + 488786949, + 788388956, + 892681727, + 506745922, + 295887576, + 537555350, + 132800561, + 985322876, + 103300972, + 71648553, + 128547205, + 539866012, + 70099799, + 711579141, + 967926941, + 339440667, + 132252943, + 277252463, + 148025442, + 548108280, + 527597617, + 42535793, + 31258977, + 74174931, + 109792965, + 107037503, + 716766791, + 485517670, + 181700269, + 806438393, + 746799478, + 520764254, + 709714724, + 211850824, + 177713895, + 482991363, + 694296077, + 787738655, + 123700616, + 311729819, + 411112065, + 15942643, + 201675635, + 970738039, + 711337880, + 159155692, + 469675751, + 617766105, + 147550165, + 488578782, + 791050391, + 432330780, + 653785286, + 793329611, + 531132643, + 450496914, + 184262969, + 332792930, + 614932472, + 927624316, + 124633374, + 79527425, + 366307659, + 299062641, + 171374488, + 168867464, + 379674944, + 125155061, + 871337818, + 240632290, + 411568611, + 772350020, + 750592963, + 749319616, + 565069890, + 596873409, + 709234155, + 536815400, + 558985742, + 260377938, + 905917260, + 193420815, + 481324761, + 671076974, + 517455601, + 479289658, + 679832852, + 963631567, + 273197068, + 55830928, + 632432352, + 605895131, + 491860438, + 485900635, + 71047027, + 94863671, + 264082297, + 437028972, + 690023867, + 916013230, + 821676173, + 329464422, + 559503790, + 528307949, + 652297852, + 758649300, + 892475988, + 250633016, + 285504607, + 882110628, + 233004761, + 214534060, + 452952689, + 79111233, + 381950439, + 588641544, + 106192636, + 892693489, + 187673437, + 443086879, + 758881662, + 952773454, + 143116686, + 846111356, + 107535103, + 81951122, + 223889091, + 758998983, + 107524525, + 497835783, + 665148257, + 586925035, + 878975863, + 25850366, + 542238778, + 952968198, + 158374301, + 441648776, + 337785661, + 587089523, + 715722050, + 796055367, + 673200157, + 577523035, + 611832712, + 828975481, + 544370092, + 545311972, + 312832843, + 99207442, + 602282474, + 319879729, + 185105916, + 177803722, + 67049533, + 667025608, + 809408656, + 939976331, + 518455271, + 904809040, + 909163777, + 754612459, + 160373983, + 539181344, + 533041126, + 832019095, + 66527236, + 270873372, + 683622179, + 935625122, + 163194853, + 289804769, + 853451379, + 443493417, + 542638589, + 651252362, + 357591241, + 159474172, + 268992840, + 932903171, + 705794561, + 688001549, + 872560209, + 290064271, + 759346987, + 395715810, + 321303829, + 408703412, + 375491319, + 600004402, + 438041658, + 930961556, + 828926676, + 307982855, + 31389777, + 337768288, + 430021507, + 306973005, + 693366376, + 992207899, + 378621963, + 836187606, + 475799336, + 493993922, + 433232920, + 22991301, + 300533101, + 465858331, + 201933340, + 967501590, + 936659398, + 470005291, + 208807234, + 663018523, + 57414643, + 337586488, + 431917752, + 968501753, + 338848254, + 230060941, + 633477826, + 731050864, + 132387064, + 899959768, + 40698516, + 776948639, + 946753446, + 481936211, + 728144770, + 787422130, + 761355720, + 259879643, + 216203065, + 297467818, + 661216357, + 9655133, + 576511025, + 563770208, + 73597746, + 72061578, + 315630154, + 526733930, + 51626417, + 496126778, + 308193238, + 375929374, + 760447962, + 618653219, + 291625441, + 329460712, + 416581795, + 283158260, + 870097790, + 514614428, + 224932116, + 962915407, + 520351052, + 802241052, + 966446930, + 506214030, + 568740636, + 716772968, + 609103386, + 315944256, + 164697534, + 510395834, + 559790206, + 79989442, + 273490094, + 823052610, + 534883143, + 299458513, + 671590556, + 968846677, + 114676221, + 18224900, + 409913146, + 498825903, + 458790035, + 230632046, + 444947940, + 448589158, + 992042937, + 385322313, + 514458127, + 97460724, + 826972663, + 493855246, + 578538532, + 928061498, + 470878808, + 440010370, + 449345759, + 86259978, + 964464308, + 147277355, + 265393078, + 40406366, + 305638218, + 591248296, + 997227358, + 286771748, + 947054646, + 443565614, + 235324071, + 173721889, + 729551250, + 204423269, + 66669347, + 977033711, + 622285499, + 837919406, + 88086789, + 352159772, + 568300910, + 661170440, + 36651071, + 655134502, + 623327034, + 888665391, + 784626895, + 651357368, + 968678727, + 407214940, + 157022181, + 165376421, + 913025949, + 797301149, + 96788561, + 391087087, + 396735878, + 41689546, + 869159650, + 453496001, + 994736828, + 683524301, + 849381502, + 887063964, + 204473051, + 977315162, + 88961882, + 140919961, + 256590503, + 447965640, + 877618327, + 30416040, + 229674134, + 655303579, + 85856250, + 95005140, + 797259698, + 249004397, + 996526674, + 981191427, + 731009986, + 226998032, + 781474124, + 898544461, + 866610105, + 509269067, + 124085398, + 952045983, + 228723176, + 588460743, + 439147458, + 362229570, + 709013580, + 809855695, + 472408892, + 185470235, + 281079096, + 286488182, + 295529166, + 978547497, + 791749480, + 704593938, + 674028004, + 981580788, + 303235994, + 748995582, + 711074575, + 86345645, + 965270414, + 27547641, + 25772171, + 373472897, + 805840741, + 277527583, + 11831327, + 42422636, + 701398740, + 233588261, + 978410427, + 164554369, + 47865131, + 133721005, + 510708059, + 641925024, + 983286568, + 539046058, + 116898544, + 476540228, + 559944945, + 623606611, + 772571542, + 78061068, + 15366223, + 310867771, + 347371920, + 259695860, + 733123941, + 32837418, + 718390603, + 687709109, + 841281211, + 455890362, + 611861241, + 841107927, + 453578772, + 659766434, + 388669125, + 185685897, + 64626587, + 882921891, + 773756403, + 99666528, + 145152957, + 272017312, + 135892933, + 601794234, + 585770717, + 503642500, + 960223625, + 587203750, + 990923919, + 681436120, + 260005417, + 958800543, + 754720914, + 110348614, + 134377837, + 376655269, + 565988530, + 863806482, + 78558818, + 993357517, + 831107832, + 280071336, + 185298647, + 235394731, + 204011378, + 998289498, + 576774641, + 946994567, + 150068109, + 37367480, + 282285753, + 384493376, + 854819010, + 944788498, + 32302095, + 750254343, + 791286211, + 418755359, + 931015041, + 342352971, + 742201610, + 905783633, + 420363469, + 4991115, + 193141038, + 27068657, + 702536853, + 532720851, + 142789709, + 370713794, + 376726309, + 926545806, + 817657569, + 650447622, + 684022549, + 539800236, + 58065255, + 345477728, + 776882193, + 632758844, + 715000683, + 960942372, + 55123402, + 505846347, + 699373791, + 600721036, + 463104561, + 589187038, + 234160992, + 451992678, + 119803436, + 974478951, + 204206283, + 895776722, + 563186693, + 681980096, + 69732416, + 439164784, + 688001799, + 463271921, + 346487707, + 377423740, + 866886242, + 678851010, + 862007248, + 776044374, + 461391060, + 125142551, + 140973022, + 805430945, + 525730892, + 859475023, + 897886216, + 651472028, + 825375084, + 598665292, + 853097580, + 901562313, + 410399347, + 642075096, + 543093635, + 77245170, + 192869528, + 598924599, + 415503235, + 720661265, + 412693013, + 821335728, + 839128974, + 781163627, + 789580782, + 974985727, + 354875135, + 819232642, + 893118187, + 346619374, + 461412383, + 344289404, + 586236567, + 702821076, + 473078953, + 429846849, + 762805954, + 49893455, + 224680395, + 396513429, + 510192132, + 233235323, + 501392058, + 989858071, + 435783512, + 479448738, + 62985713, + 122126468, + 620789000, + 136833235, + 903248636, + 840195464, + 32524504, + 183103970, + 275418129, + 647205347, + 602763646, + 278900140, + 761330644, + 804103328, + 992506708, + 297551323, + 793957928, + 572349507, + 410444914, + 190728172, + 937537627, + 420999765, + 225144539, + 705163560, + 465495258, + 127354674, + 237286619, + 671360023, + 627810056, + 546532556, + 58905212, + 990738353, + 242727664, + 638373447, + 606581181, + 761591539, + 294185303, + 270869625, + 90481830, + 383262384, + 655866576, + 9335057, + 380811675, + 322038908, + 393713075, + 164293174, + 789988898, + 461405725, + 497354242, + 349621170, + 549920952, + 849341126, + 162402404, + 437873678, + 389432107, + 892786956, + 231914373, + 639250063, + 121730177, + 300770611, + 434285145, + 886959937, + 547271706, + 102333456, + 150322067, + 231377278, + 964770493, + 766583725, + 647997915, + 700469153, + 452995630, + 745711142, + 173756320, + 161550184, + 665559220, + 856021818, + 173304921, + 476952055, + 172774212, + 635850173, + 400363240, + 192698739, + 884855387, + 308703269, + 365295568, + 196650328, + 609556517, + 560998578, + 361631971, + 951646424, + 345872638, + 642529015, + 607938633, + 838199494, + 904845185, + 36482177, + 298944863, + 363880718, + 46999042, + 426470692, + 826430894, + 819889370, + 862434390, + 62734672, + 423131112, + 216151182, + 821484269, + 16632260, + 269385126, + 856329672, + 800927349, + 862332615, + 104697816, + 930842509, + 601961159, + 47274575, + 170314276, + 515311784, + 206878824, + 343550671, + 135816285, + 816335157, + 137764313, + 628840142, + 522811955, + 261005298, + 461308734, + 910308833, + 63525632, + 554608972, + 339567732, + 442546316, + 298721657, + 992204930, + 379195182, + 359963983, + 493486391, + 985328959, + 919838702, + 253039560, + 462745421, + 569513722, + 404011851, + 100322754, + 920075754, + 426436875, + 498122370, + 97223513, + 415008412, + 724797092, + 193478271, + 86062243, + 301768862, + 587533123, + 51115534, + 861499068, + 983703049, + 784053792, + 107965203, + 544769337, + 722285034, + 187372124, + 43156774, + 547312812, + 960542199, + 963421988, + 425074510, + 463100934, + 148314464, + 337252785, + 921599176, + 478673057, + 899831797, + 151876917, + 326512411, + 787934574, + 537191618, + 260956691, + 356818389, + 597231775, + 213892882, + 77089563, + 718061716, + 331410468, + 29554601, + 9105137, + 910372412, + 709082263, + 266844064, + 900678635, + 841506996, + 326521650, + 882351399, + 770668404, + 714984351, + 436444539, + 171759254, + 252575292, + 949319654, + 909871601, + 605880418, + 178351218, + 296041799, + 106357159, + 11334689, + 360388530, + 170979566, + 786256087, + 655949664, + 360445653, + 825163202, + 566144218, + 287211844, + 294695434, + 800707655, + 428516566, + 82349278, + 1513730, + 869645462, + 195436281, + 943863714, + 752281156, + 890919313, + 866217822, + 212349232, + 427253630, + 208713803, + 336359734, + 650886044, + 920727930, + 858417103, + 683961623, + 561330179, + 349656121, + 996882057, + 300383352, + 117317432, + 454640362, + 790691206, + 297313562, + 338944291, + 767195547, + 9654694, + 190015823, + 882228869, + 891416296, + 711376963, + 976563841, + 250738925, + 436759261, + 832081939, + 543181505, + 12652324, + 719578992, + 655941169, + 659436660, + 395170313, + 351442570, + 790202583, + 731529435, + 238172120, + 594338932, + 617660043, + 460408671, + 793665921, + 994692138, + 761247825, + 424116001, + 361105849, + 700321100, + 389633646, + 289292452, + 374645850, + 842502580, + 48777746, + 394023122, + 283443215, + 135640637, + 422409135, + 536735081, + 209084632, + 146904954, + 258657239, + 246344290, + 737439395, + 79259863, + 647897930, + 542800681, + 293528484, + 381851659, + 877692189, + 571009670, + 843000755, + 989758612, + 599143928, + 36277369, + 620072705, + 259404573, + 686741635, + 349963357, + 200275310, + 114853685, + 681226069, + 109803830, + 261868438, + 454002732, + 646839715, + 682927492, + 455306351, + 493202348, + 481496718, + 153003614, + 257596610, + 996475951, + 358975743, + 725075683, + 367695390, + 883608302, + 473338961, + 793006975, + 576793504, + 479730315, + 671868995, + 85174998, + 669373197, + 745066312, + 301774371, + 226903028, + 440161265, + 318348463, + 289318170, + 825613355, + 981822670, + 940935570, + 420254866, + 808798797, + 374734765, + 135526773, + 185955919, + 543077507, + 36330248, + 769778638, + 761991095, + 700328672, + 907597735, + 783075756, + 814955543, + 746117199, + 995856594, + 570633959, + 611839280, + 202882714, + 679503710, + 640668580, + 780963218, + 659747276, + 346554419, + 729907514, + 503526684, + 247620542, + 502072449, + 843447899, + 251076614, + 397535719, + 707760528, + 634713947, + 348309511, + 447838947, + 714146092, + 251135610, + 729102283, + 18067815, + 845286182, + 359024970, + 444782805, + 422288216, + 550496408, + 803372316, + 308246837, + 355539913, + 425527065, + 947069928, + 591455399, + 853912383, + 697373399, + 166260254, + 575797622, + 217030224, + 713066950, + 793828310, + 313509278, + 646781504, + 921316841, + 8288238, + 78063613, + 831021910, + 257911749, + 550734454, + 862089265, + 862702103, + 509941772, + 226365566, + 81075519, + 908500265, + 193143978, + 100934664, + 60850665, + 429104473, + 14036086, + 548732957, + 276309549, + 713750240, + 692527920, + 452458673, + 97675723, + 673013692, + 6146452, + 905913219, + 699594741, + 974475712, + 743018215, + 730449488, + 961310274, + 755357870, + 582246469, + 486064033, + 873883950, + 884958852, + 712636477, + 883527129, + 793279214, + 530233455, + 212457632, + 903681041, + 989593713, + 724201519, + 709139499, + 14766469, + 188964355, + 849178637, + 902053305, + 701293319, + 169337026, + 121551527, + 866421801, + 634296725, + 563293153, + 454195523, + 608490619, + 754649756, + 960211167, + 522917556, + 455008773, + 446212943, + 704632127, + 554818515, + 732672658, + 818154443, + 647812258, + 588453321, + 872764781, + 727394109, + 282827928, + 907152596, + 381581635, + 32836953, + 291831822, + 681416378, + 296565197, + 650236529, + 978506961, + 237628279, + 442049718, + 859018214, + 252358072, + 19876323, + 655059675, + 701937045, + 775517730, + 964790471, + 640241971, + 472900153, + 249388588, + 812469604, + 541292630, + 415977102, + 399392757, + 904835592, + 800958124, + 60534654, + 257488042, + 997491158, + 915399565, + 285839767, + 437477008, + 827916407, + 418262054, + 673397142, + 640265141, + 781465715, + 139353327, + 106911151, + 989059545, + 561937884, + 879036536, + 926432405, + 479330104, + 919880512, + 650683500, + 478610431, + 560986366, + 347376401, + 637737146, + 110953912, + 857457337, + 391764005, + 976494687, + 632660308, + 921024647, + 985147545, + 636701795, + 4489000, + 65188949, + 921673201, + 697821131, + 193526773, + 917321933, + 374797665, + 962592992, + 314887041, + 433299954, + 72500135, + 887845758, + 773526180, + 936863473, + 514968656, + 212986168, + 730847123, + 376314381, + 131542803, + 713358820, + 522011894, + 422673631, + 468838859, + 530578164, + 810746699, + 643115407, + 372210472, + 624411881, + 117286810, + 771604716, + 924416241, + 220238837, + 349856478, + 440785215, + 985488396, + 796737453, + 937270615, + 57490506, + 992743045, + 431529498, + 25676287, + 846286374, + 258031104, + 539332299, + 762350153, + 203636094, + 475776338, + 704518567, + 785979519, + 840692764, + 701922991, + 575640950, + 816079493, + 658558077, + 824664782, + 414969191, + 626327027, + 882497385, + 744751338, + 811309754, + 835032097, + 804306609, + 346484802, + 819908136, + 51360072, + 87936829, + 588813229, + 571237463, + 756279621, + 131197148, + 196761212, + 586682185, + 777570896, + 186068422, + 319696880, + 426982428, + 323161637, + 817768454, + 803601574, + 814114087, + 760613951, + 233464055, + 575289907, + 124373489, + 612136104, + 100253413, + 916600497, + 532456812, + 733030908, + 832138447, + 472130089, + 724950915, + 809230764, + 229336617, + 274063025, + 346103744, + 243170533, + 388581795, + 392737952, + 984034038, + 357635065, + 9644038, + 114883469, + 187976818, + 479635105, + 192000579, + 816608600, + 309759489, + 516049677, + 667867321, + 162740867, + 586000593, + 713242969, + 490288711, + 113558043, + 970027878, + 546386683, + 425104968, + 830682868, + 76348024, + 423881816, + 415558711, + 586549647, + 145607826, + 446738210, + 984555781, + 418336243, + 439803557, + 953391141, + 488068154, + 442422728, + 150678321, + 936208413, + 224578758, + 744301545, + 140495320, + 602881523, + 334067954, + 641562607, + 938611891, + 513144912, + 41309900, + 351562871, + 317234065, + 405119269, + 902669073, + 682756809, + 461441405, + 694558494, + 627628275, + 83560412, + 517927837, + 544366983, + 112638806, + 147355817, + 732916880, + 674361358, + 326588048, + 8922707, + 957299214, + 907198454, + 309397959, + 654217650, + 704702046, + 593023276, + 919753245, + 404575443, + 838703436, + 522698415, + 106366518, + 815029104, + 380621314, + 166070346, + 848089860, + 463299859, + 686272355, + 980518510, + 462476509, + 98838868, + 771595022, + 453174862, + 317787366, + 764404114, + 619312369, + 19457529, + 191377603, + 891874126, + 82769594, + 180226081, + 800036338, + 906534633, + 583793729, + 363317607, + 394382778, + 447663748, + 425004675, + 364430327, + 890696254, + 79757751, + 725704926, + 736719711, + 757565609, + 186115226, + 89098457, + 815289899, + 936360444, + 654495069, + 974495081, + 361733252, + 878963864, + 872293285, + 871684325, + 614025500, + 966245100, + 119971411, + 561973374, + 11795220, + 160799619, + 990752739, + 306781904, + 388342988, + 700247036, + 374388718, + 80284970, + 775341312, + 48675002, + 656912707, + 42215521, + 35763230, + 694491618, + 660880833, + 291809634, + 95554624, + 264812750, + 880006076, + 869295036, + 975623734, + 642447063, + 280372307, + 508095761, + 10302984, + 155723628, + 99458798, + 654875014, + 955316325, + 275374975, + 261430872, + 808243975, + 549345266, + 607460048, + 684560573, + 636205339, + 118910603, + 222455587, + 106590478, + 126315663, + 54763351, + 653437449, + 745268422, + 688171473, + 861926298, + 677638171, + 512642654, + 666219366, + 633893230, + 942983131, + 680324129, + 318696854, + 996835557, + 985208111, + 675908767, + 245787446, + 372585731, + 831356740, + 885218192, + 536926778, + 843440502, + 707433562, + 562101548, + 760792649, + 111288202, + 141245921, + 694139806, + 221762693, + 555819791, + 956123647, + 417804974, + 361920528, + 79767938, + 101585075, + 852088068, + 57311784, + 265459962, + 821922662, + 452684471, + 5631530, + 673330321, + 532858314, + 575087618, + 448898265, + 373361990, + 357965046, + 53421597, + 880014188, + 717245206, + 189084474, + 408825936, + 872453532, + 873946220, + 738536084, + 891896460, + 141185246, + 111864066, + 423992440, + 853431428, + 425128439, + 974314342, + 135451562, + 66887258, + 859537966, + 17615308, + 593831358, + 817822793, + 797424316, + 318331928, + 106232649, + 33687172, + 262962413, + 81134803, + 803328284, + 388507815, + 464418993, + 925362009, + 470353106, + 237171847, + 470437132, + 55103872, + 163201473, + 870774679, + 109967396, + 221489978, + 32533184, + 178290380, + 425622630, + 778211346, + 927302433, + 610350628, + 150285049, + 369770664, + 374978638, + 191357068, + 728830894, + 710315554, + 300266585, + 105340817, + 609032739, + 246391892, + 942889798, + 443049254, + 599136805, + 74560515, + 302748595, + 834486334, + 753451703, + 822873308, + 775136722, + 516595944, + 485130549, + 706068855, + 822477359, + 136532978, + 157314574, + 341501867, + 232572229, + 175578417, + 50707498, + 530936275, + 891077181, + 626793556, + 983627825, + 359214713, + 398088894, + 693328073, + 94847666, + 661003042, + 951821784, + 846527720, + 582960296, + 550590927, + 155690391, + 216722217, + 705550155, + 562210045, + 487053389, + 419911484, + 390933857, + 184641905, + 837030444, + 994573000, + 764904683, + 830344169, + 629927318, + 130434266, + 578093297, + 451998851, + 21073731, + 515579517, + 78034590, + 350199876, + 450573128, + 367313683, + 707982635, + 884290957, + 231198902, + 60923075, + 885914953, + 78662388, + 324134437, + 914907864, + 415304450, + 539348808, + 841284960, + 584773440, + 920163586, + 928491721, + 129078001, + 584008260, + 39511485, + 876413509, + 603368407, + 636989327, + 353512833, + 571325592, + 466785802, + 74676420, + 590837382, + 435550097, + 706753689, + 219633781, + 688407641, + 186197062, + 310930369, + 326836890, + 622240534, + 427405814, + 211446665, + 9754488, + 46982737, + 519150188, + 662121788, + 915931465, + 878199306, + 737921676, + 571339034, + 823863345, + 561073464, + 423722571, + 187179115, + 650931837, + 449021848, + 717738126, + 569087817, + 896996119, + 319640176, + 818190235, + 798625797, + 629332636, + 379627020, + 921051767, + 194367868, + 127828495, + 378642580, + 142411921, + 194152511, + 989503405, + 391158276, + 872787872, + 653545716, + 469238075, + 364839320, + 602164401, + 963153173, + 67714248, + 886047915, + 138881322, + 199675923, + 423694185, + 734785849, + 663852887, + 876040855, + 954133193, + 749495021, + 968473792, + 354434032, + 511973602, + 203974420, + 517473401, + 799760629, + 925625978, + 251507223, + 688792997, + 852976400, + 921769467, + 169241715, + 631002899, + 408092794, + 599129394, + 78151745, + 734920141, + 527795782, + 360046688, + 828832090, + 2199838, + 858544576, + 485760523, + 923574112, + 119654945, + 43520402, + 678517720, + 963374614, + 357215099, + 305048045, + 890059729, + 220597366, + 938492329, + 202112051, + 221863000, + 244199936, + 857393017, + 29428243, + 65935739, + 301978803, + 120095041, + 256236628, + 294141261, + 112483282, + 432074194, + 833454064, + 427217237, + 130617017, + 147489765, + 325686392, + 518469521, + 968711335, + 947363702, + 774142586, + 906384329, + 532942851, + 399249907, + 777480366, + 166238399, + 93290290, + 189085229, + 463077183, + 170569166, + 404994943, + 532652600, + 801672045, + 144418563, + 461207717, + 483975503, + 87919998, + 413722885, + 556075015, + 192029059, + 825476816, + 163615426, + 803842720, + 703599151, + 923978527, + 390851286, + 271672382, + 472552476, + 884948050, + 320143080, + 344361890, + 544615214, + 662675730, + 735339983, + 462753312, + 603577743, + 770098743, + 418674149, + 590121723, + 472033907, + 260813265, + 495449169, + 510863586, + 572169413, + 303926215, + 334475959, + 894459870, + 189295393, + 94597570, + 501762649, + 792071064, + 380237433, + 456966372, + 654517180, + 563584078, + 186002595, + 645474672, + 811018149, + 322083614, + 773690113, + 396465706, + 836018056, + 492466742, + 596889182, + 914604256, + 287242596, + 524874720, + 499343688, + 728970952, + 730224462, + 753740617, + 306544844, + 673778214, + 828565091, + 690413118, + 707782776, + 65132317, + 227278267, + 233876939, + 674951472, + 799757717, + 456565004, + 788994289, + 390233455, + 797368452, + 512454677, + 212250790, + 506801446, + 298147805, + 958565692, + 925042572, + 944085763, + 500112976, + 441334045, + 803967836, + 147238932, + 886475283, + 878321295, + 28187919, + 29789021, + 909212425, + 793808024, + 77686052, + 186524862, + 149782761, + 232751943, + 730336935, + 339014696, + 541613942, + 461041180, + 815145463, + 677251377, + 688841614, + 519834559, + 815861578, + 210234072, + 482431035, + 649492631, + 295242936, + 643429900, + 146074440, + 791072589, + 14833420, + 945018623, + 191739418, + 700956084, + 347477176, + 368521557, + 45329050, + 510290900, + 409798458, + 946015702, + 732259375, + 472214798, + 308221349, + 14024251, + 617451592, + 729592859, + 129580787, + 251132976, + 763382685, + 762960870, + 368847370, + 791465389, + 34644645, + 893122317, + 809205638, + 171071124, + 95933531, + 906335758, + 179400391, + 578920503, + 268775092, + 175524410, + 545816300, + 982608293, + 615320162, + 337138429, + 160024463, + 950760017, + 188330695, + 383210605, + 274363988, + 785766875, + 513018603, + 278330821, + 767610138, + 463967108, + 48132923, + 959307282, + 173178812, + 106273227, + 751317760, + 777775084, + 823542485, + 510816522, + 171586076, + 345913003, + 461399495, + 551139699, + 296818054, + 832141339, + 714757833, + 668841857, + 6239059, + 66375880, + 539860191, + 597857154, + 98665655, + 628501588, + 535086477, + 630994518, + 507930018, + 531580878, + 865226366, + 731738256, + 935365869, + 24352679, + 193176389, + 584115369, + 222271366, + 245160116, + 658974155, + 84672262, + 978704989, + 690373093, + 863497439, + 484828143, + 877255404, + 266352060, + 762398352, + 257690505, + 939810511, + 72875426, + 253412351, + 484223564, + 223757294, + 537911915, + 145499986, + 98344884, + 350505255, + 156514831, + 328729540, + 374451968, + 756305373, + 251015971, + 652856223, + 509882997, + 550475531, + 239576173, + 929322420, + 383871465, + 100487323, + 687817622, + 838571719, + 388345923, + 436445106, + 7885532, + 974026499, + 423169044, + 356168374, + 397323438, + 462377064, + 881897635, + 114150420, + 877823436, + 667980386, + 142675619, + 842947371, + 495753039, + 30440570, + 102485868, + 856132228, + 181344002, + 947589104, + 341501910, + 651881894, + 5865341, + 674831911, + 949352176, + 400012594, + 64732798, + 106471599, + 302279031, + 802518204, + 560774411, + 689726674, + 989560548, + 422113715, + 351180728, + 825537537, + 367011591, + 170894491, + 213915783, + 500481032, + 753467956, + 956920694, + 393646153, + 202447988, + 205375358, + 341011555, + 42702686, + 573726800, + 130118003, + 230990849, + 119288449, + 798814985, + 675320261, + 632821417, + 150701836, + 725867308, + 745930922, + 782485640, + 845406581, + 282904555, + 946201656, + 510056627, + 754865319, + 133505161, + 111776133, + 964542694, + 571267972, + 427138231, + 583335682, + 235039620, + 759689510, + 509200186, + 426257072, + 643636168, + 885775563, + 957574886, + 590676670, + 379718424, + 604446480, + 232145973, + 393019459, + 430126488, + 526870843, + 807921792, + 275274346, + 742615616, + 471173663, + 433904255, + 512472394, + 161071692, + 47150940, + 644623638, + 901577738, + 219663947, + 514032150, + 914383714, + 809060921, + 660279998, + 775566232, + 696621472, + 698118064, + 127304149, + 351581712, + 5087985, + 485175792, + 482286817, + 557676836, + 646381666, + 597043448, + 943714531, + 122745483, + 162479035, + 891628909, + 922637342, + 432652036, + 212955457, + 287132663, + 183497530, + 704578140, + 283488569, + 415000556, + 248051612, + 29198434, + 317317699, + 682850229, + 658568098, + 662264518, + 819646552, + 566369096, + 798734251, + 992903367, + 360545857, + 770117481, + 191616289, + 153114037, + 258937109, + 975439078, + 896697306, + 244884946, + 251696193, + 904491547, + 88600270, + 365063654, + 368998843, + 794183339, + 930745090, + 829376618, + 268862790, + 391472863, + 686175191, + 470766229, + 236890649, + 874501788, + 647563389, + 987435722, + 984253514, + 480673058, + 928933408, + 902923500, + 420450563, + 734594180, + 101147111, + 829453503, + 257906018, + 435030209, + 392775392, + 546886840, + 55807219, + 265589592, + 20633644, + 740545455, + 687598057, + 412887336, + 28022988, + 715183448, + 327937018, + 748833678, + 463287049, + 465251617, + 969255483, + 407182690, + 293519242, + 745241318, + 628782531, + 847711730, + 620129620, + 941729679, + 924383382, + 626568779, + 255140266, + 843762659, + 305137455, + 476539642, + 801314593, + 160371289, + 376465919, + 750008071, + 254836121, + 637666913, + 4623445, + 677339302, + 192894294, + 589422681, + 82856760, + 55620383, + 54802667, + 436163404, + 545201919, + 276977929, + 126791454, + 352360216, + 478848834, + 296194726, + 846060791, + 770279965, + 356110416, + 436469995, + 696141908, + 560241639, + 206039978, + 361639052, + 963751447, + 446597069, + 569961949, + 236117376, + 162204406, + 46791261, + 442258682, + 62889473, + 373368274, + 703456332, + 765516730, + 90163624, + 942094242, + 825285954, + 934024972, + 493497264, + 298432370, + 321088785, + 749912996, + 972081568, + 395297053, + 390043499, + 908868394, + 11904280, + 172998691, + 883758689, + 920326576, + 562020693, + 610269420, + 529939902, + 672529315, + 652934747, + 360005869, + 295243535, + 587652232, + 754893820, + 249320260, + 118366504, + 552360960, + 148287526, + 926158729, + 728179947, + 240499881, + 874092906, + 215778848, + 731526216, + 895058098, + 952603108, + 706803245, + 191913258, + 687555788, + 420083571, + 254558296, + 646905909, + 204014386, + 333572309, + 493363471, + 730632026, + 389032755, + 158304670, + 329728434, + 535486608, + 315881556, + 976221900, + 482762471, + 333783040, + 452225678, + 384669587, + 750734493, + 581634541, + 640538435, + 739993837, + 682013924, + 276294106, + 12704395, + 179494377, + 871332924, + 770671314, + 262084448, + 470312427, + 654656994, + 113538074, + 390960552, + 825151172, + 464065271, + 784477590, + 516093706, + 662668648, + 720169380, + 275718470, + 796180415, + 725243099, + 747997405, + 473583852, + 534248180, + 544869491, + 280019157, + 898528932, + 839933722, + 517327546, + 324115693, + 33512418, + 589129627, + 645663375, + 339786439, + 445205700, + 321878697, + 835666517, + 188430161, + 554115850, + 83809604, + 289480407, + 652014086, + 458092083, + 881354002, + 802841903, + 371763024, + 313018031, + 888160089, + 874565843, + 204910655, + 32709993, + 748058090, + 507759397, + 669341356, + 69056719, + 25140097, + 889564169, + 81310379, + 153765790, + 519527849, + 263071738, + 846655343, + 988246859, + 23547256, + 64274358, + 309621772, + 108091722, + 44823037, + 306018774, + 375458271, + 824348293, + 637291909, + 849569403, + 488901391, + 499324847, + 90698282, + 237153472, + 740956963, + 485385145, + 895416057, + 115231049, + 583237280, + 103559863, + 96141361, + 802459728, + 683768088, + 383459676, + 402027244, + 193973670, + 655502744, + 830079928, + 359944782, + 942091219, + 621166010, + 629102536, + 158282962, + 682825849, + 584527540, + 335657192, + 768812641, + 769354957, + 810151248, + 14428302, + 918014017, + 318111384, + 892500980, + 868058526, + 107894078, + 279538251, + 574862512, + 711465816, + 391561161, + 353558186, + 558581617, + 712599124, + 199415579, + 142705903, + 423482618, + 707665306, + 94835936, + 518070631, + 771844394, + 42331016, + 241478274, + 457825668, + 701526314, + 811461054, + 298256107, + 532835505, + 705893376, + 163035128, + 932769786, + 877915393, + 148729522, + 233736901, + 797247115, + 193514292, + 79715625, + 567316232, + 949070633, + 223404013, + 146450084, + 743159987, + 984944857, + 470724542, + 351022513, + 580337720, + 861156281, + 960783877, + 988163582, + 56205032, + 657861261, + 119928040, + 933146084, + 511151411, + 214054184, + 720952062, + 74889359, + 316345372, + 189197953, + 696073840, + 540695748, + 75698490, + 165104884, + 679725866, + 420650185, + 718699715, + 963945751, + 646317172, + 26625004, + 252346631, + 6326784, + 551259616, + 745239928, + 354265268, + 379868289, + 711567671, + 713558376, + 731286970, + 579105455, + 867918966, + 687727352, + 625444777, + 92666031, + 961817505, + 610218336, + 75135649, + 631865402, + 134775726, + 934137480, + 917689390, + 412146838, + 39621797, + 709240423, + 144341612, + 823020667, + 984062397, + 427099887, + 924357087, + 975390144, + 107653330, + 848520369, + 823978717, + 553302030, + 120258497, + 808217116, + 125872550, + 206532672, + 510791812, + 128998629, + 428661430, + 86478712, + 862702907, + 89193944, + 110447024, + 541833339, + 518927928, + 661817757, + 359826441, + 990029790, + 454439069, + 188363543, + 735287629, + 339799374, + 241024295, + 895141187, + 696354583, + 372031987, + 835014018, + 652522659, + 806270463, + 184934619, + 362439592, + 718494745, + 60904349, + 107390773, + 397483390, + 761857634, + 986271058, + 558024332, + 190278615, + 308412513, + 602878425, + 679134443, + 334113403, + 119939461, + 429633423, + 941842105, + 801183091, + 257278011, + 780044944, + 262986606, + 572757570, + 873642366, + 555369914, + 858514273, + 122621821, + 410470942, + 174216592, + 328239892, + 760252284, + 269055786, + 561779992, + 742623797, + 783352015, + 258521569, + 36706354, + 355302536, + 50312117, + 867585367, + 379317911, + 35169262, + 391865832, + 192563536, + 644252925, + 985314360, + 945851484, + 864218193, + 840102992, + 710948752, + 731908037, + 183294757, + 709886093, + 34870060, + 569724765, + 502334582, + 772889827, + 286765004, + 599366636, + 34806415, + 308206755, + 244150557, + 328643969, + 84285611, + 370617433, + 441908180, + 357813132, + 989587954, + 397089111, + 216099352, + 825526942, + 329735761, + 76821680, + 108299908, + 803154173, + 644492201, + 872730523, + 414289756, + 481989548, + 894829821, + 454256298, + 448013175, + 596336652, + 636112830, + 557663050, + 88586296, + 657226686, + 366257035, + 991818586, + 45977711, + 278334772, + 428542779, + 830536130, + 872401720, + 225216559, + 427011929, + 440832032, + 232423610, + 202980786, + 786417221, + 436903232, + 317677208, + 382237213, + 796306773, + 832205863, + 953185660, + 441222594, + 244645732, + 798657208, + 377363307, + 14648115, + 887982420, + 179918376, + 61753173, + 275830075, + 136766512, + 359187691, + 951145550, + 17058802, + 842466289, + 313273400, + 138197374, + 732098826, + 820502450, + 184766102, + 887714849, + 942220145, + 93783981, + 480391122, + 564897458, + 737492992, + 820546126, + 857762254, + 310572772, + 888431620, + 577687433, + 751804303, + 703713661, + 97423096, + 869564822, + 203930671, + 662573479, + 559014282, + 694656174, + 109619805, + 177692062, + 430570041, + 293208523, + 166824624, + 225763182, + 165748608, + 115251272, + 793991584, + 127874452, + 936139284, + 270426309, + 70939617, + 143448150, + 79595633, + 654637863, + 660059659, + 525890005, + 94271328, + 589659189, + 885568008, + 440396376, + 228310495, + 592596625, + 256569122, + 590117724, + 46236972, + 435860259, + 902392322, + 888915267, + 415165988, + 355383313, + 250024706, + 782666244, + 236068076, + 599478943, + 182305088, + 110289236, + 674190562, + 528420000, + 318216519, + 775961110, + 558385619, + 84857305, + 689239298, + 768313078, + 9858758, + 429919545, + 404618535, + 162434848, + 888409509, + 845971391, + 623749095, + 934341361, + 205464012, + 322099004, + 529196818, + 361437204, + 762920255, + 559217615, + 712657435, + 982461612, + 147733352, + 96695180, + 44747943, + 749451861, + 91407470, + 741542438, + 487661475, + 898822858, + 2712547, + 351303445, + 903833876, + 577926809, + 386540403, + 440550637, + 599036842, + 593118009, + 573548010, + 953981606, + 438367585, + 556036186, + 160631931, + 144476531, + 497636818, + 537829269, + 938647419, + 648711480, + 962911105, + 122419856, + 509265594, + 93458552, + 616286509, + 320699713, + 830129952, + 790884095, + 707354421, + 297131210, + 710159504, + 897642251, + 343087014, + 622601107, + 619718908, + 940757977, + 426712591, + 722864827, + 801971157, + 425943160, + 368461632, + 335884685, + 212562535, + 100143164, + 684557999, + 216513708, + 253484433, + 785179545, + 383423948, + 157884726, + 104412831, + 172990370, + 825879244, + 933344630, + 89193930, + 759423480, + 668970639, + 443474682, + 360666936, + 113681364, + 135526993, + 962782833, + 283216173, + 930212195, + 520825462, + 621012610, + 424586012, + 402946653, + 557803224, + 508398581, + 719820073, + 273738884, + 245693430, + 974544575, + 909608002, + 802497009, + 767073392, + 232719969, + 194635034, + 53883987, + 612393575, + 862803394, + 702146867, + 614158348, + 674023804, + 22688994, + 393922556, + 336389831, + 341045857, + 170437245, + 864200317, + 467377735, + 698406805, + 216301208, + 726314826, + 816904475, + 338606210, + 145151939, + 721805354, + 305801697, + 536757511, + 856934447, + 232981634, + 998950298, + 825299130, + 117074878, + 714673801, + 602669359, + 569313464, + 915493288, + 333444096, + 925010480, + 288281766, + 326354132, + 710666449, + 670224741, + 249329045, + 537133684, + 128380112, + 296076186, + 822181080, + 170217508, + 719034559, + 241827561, + 491543970, + 841737540, + 533062554, + 590272935, + 617777279, + 8321195, + 368226686, + 125612212, + 393481059, + 867942649, + 374990875, + 644696211, + 980375781, + 257325825, + 102485220, + 218024700, + 708844177, + 520984295, + 965164253, + 128497323, + 174435209, + 225416749, + 475449817, + 86157745, + 903573205, + 62676266, + 999651097, + 187827466, + 480978420, + 438558990, + 731800709, + 147895340, + 709410777, + 207621195, + 404243635, + 511155198, + 822295457, + 972965181, + 926864872, + 725800386, + 899105742, + 740573865, + 561840627, + 618780807, + 375092062, + 739387054, + 81056399, + 192290041, + 779750705, + 571569199, + 799033182, + 907923189, + 798261756, + 381197804, + 61258231, + 416760798, + 649657701, + 427057664, + 199574252, + 731268725, + 48741658, + 199582188, + 862216154, + 121275805, + 370814637, + 428033053, + 274307961, + 209403150, + 417428374, + 581430597, + 874214864, + 362436318, + 724701754, + 770659112, + 427342588, + 7169680, + 586736635, + 216412437, + 495290730, + 247035007, + 620744249, + 617300848, + 515575914, + 184139770, + 780053042, + 147199860, + 77711105, + 596036543, + 130778919, + 789598639, + 689083616, + 437482557, + 145420222, + 674912486, + 382929764, + 202313664, + 426282257, + 734015296, + 476721768, + 268099782, + 459151872, + 425140250, + 425382351, + 253413718, + 792228278, + 243300472, + 644533861, + 154959103, + 165976815, + 845493762, + 501516175, + 298629022, + 380014337, + 237439781, + 518202548, + 361097802, + 540543496, + 958259792, + 546853606, + 113957800, + 734121282, + 109787225, + 137862680, + 746715286, + 688279283, + 788509967, + 541102594, + 196717648, + 780812829, + 949633099, + 18753885, + 471673117, + 46063738, + 4310394, + 525686377, + 460579465, + 610198143, + 74993847, + 858783171, + 799624099, + 518501402, + 101777365, + 452051845, + 627233389, + 371924176, + 981619161, + 809095987, + 454250912, + 49253889, + 531183506, + 49094053, + 767832575, + 749718729, + 234904330, + 240057536, + 912993648, + 733138712, + 67454908, + 102412256, + 534511509, + 714014623, + 750591692, + 358242948, + 698914308, + 329170993, + 638577338, + 214199965, + 401708544, + 203714827, + 15761679, + 631965686, + 24563524, + 473822732, + 446197987, + 514987551, + 716547059, + 756062648, + 894381928, + 547132416, + 297437330, + 535313839, + 115216942, + 386569736, + 139075661, + 82129828, + 684469533, + 546723292, + 817577296, + 614510839, + 877561441, + 961201094, + 968568753, + 669329857, + 917830423, + 995141867, + 156048176, + 396256863, + 576752276, + 712865897, + 480222744, + 290088454, + 338355137, + 784924422, + 558735332, + 408872312, + 405135255, + 860923206, + 649360449, + 916173792, + 856129031, + 70771648, + 495458871, + 555660932, + 359743672, + 839855388, + 78325628, + 199918602, + 366170004, + 755987065, + 310939322, + 837898837, + 362594955, + 282145138, + 994637217, + 363474257, + 35872067, + 890731126, + 328921366, + 951598952, + 879826282, + 815376534, + 111293821, + 849807640, + 508558397, + 859527179, + 669364924, + 361374896, + 555593563, + 831733076, + 918621025, + 453450459, + 364118525, + 960731253, + 606186967, + 526127088, + 434692658, + 750941216, + 254251628, + 760138928, + 338116656, + 995653643, + 669573976, + 975571508, + 867283968, + 82266565, + 821027547, + 912993841, + 216282737, + 562785394, + 824820749, + 699761082, + 405850222, + 165257969, + 43982116, + 337487989, + 85288207, + 903870134, + 477889168, + 398294131, + 877260236, + 208946319, + 623270141, + 587142952, + 968497694, + 537473676, + 389042821, + 351444527, + 78333607, + 958659411, + 956062376, + 13970319, + 121156751, + 986809579, + 372085348, + 193647658, + 852796549, + 5964690, + 965133144, + 80815201, + 636409274, + 256780084, + 993305992, + 907516328, + 221495058, + 771967911, + 625871828, + 388212111, + 404988229, + 413856951, + 62947790, + 131873222, + 938051463, + 653498950, + 221240136, + 934502620, + 416723984, + 573421923, + 454133935, + 598788114, + 588650938, + 105529281, + 206721864, + 229823751, + 113743272, + 703380383, + 408033873, + 503385364, + 154688569, + 216002477, + 320260507, + 731798905, + 649339934, + 95722290, + 604977220, + 49777938, + 415188908, + 881562163, + 503888374, + 897437256, + 690279279, + 215447411, + 224799896, + 361769122, + 230157215, + 846508574, + 162568319, + 685006248, + 314445334, + 812662000, + 590370376, + 279370358, + 603018559, + 421181682, + 610872879, + 464473861, + 622641185, + 12007884, + 963603635, + 452981157, + 428011682, + 332378626, + 38126152, + 179858011, + 536169851, + 924034203, + 475573729, + 303378807, + 288997523, + 419480330, + 383859487, + 324170952, + 688945504, + 924192985, + 961547806, + 883893850, + 533683426, + 799320404, + 314744693, + 303631977, + 739540811, + 335768920, + 89184592, + 133378072, + 437037933, + 33453680, + 112939092, + 149019071, + 579357913, + 133648002, + 808902351, + 155640548, + 421061742, + 457086435, + 386977664, + 103425366, + 732468855, + 851981616, + 867413392, + 968527753, + 718240507, + 859675910, + 392543612, + 113812939, + 428674482, + 986252101, + 793516901, + 342898373, + 938958208, + 817170018, + 968525020, + 819517424, + 498446647, + 137360744, + 18866470, + 935356961, + 626448561, + 677196242, + 322219784, + 125805443, + 596104821, + 915709891, + 533404350, + 315459774, + 138434297, + 621797342, + 109257705, + 883791781, + 4219220, + 124831669, + 892767167, + 315242656, + 636697622, + 958510219, + 823812249, + 112828112, + 959476400, + 46220013, + 37156486, + 354793200, + 619599485, + 954001330, + 189654506, + 771685104, + 778222573, + 875227656, + 982771887, + 615455996, + 32288707, + 378077771, + 236982339, + 681624124, + 13918967, + 680352843, + 696147487, + 261419734, + 73005788, + 707534759, + 382769920, + 907277954, + 976724625, + 42307132, + 407426291, + 911084189, + 430819448, + 581342824, + 345246534, + 794477026, + 346328848, + 666383969, + 419002151, + 516766041, + 599110332, + 316831841, + 655353816, + 119485564, + 93882866, + 108611193, + 411854227, + 7066937, + 954559435, + 648487543, + 604329275, + 280218694, + 554177373, + 71215188, + 155441048, + 198727658, + 154314698, + 197254125, + 582756073, + 152552004, + 708573406, + 463953334, + 138022478, + 859415403, + 700964464, + 90143636, + 959795111, + 308796574, + 539359961, + 695132229, + 52018842, + 7869156, + 754150615, + 581600512, + 431819488, + 75869719, + 550802762, + 876506787, + 352888672, + 735649044, + 71028723, + 477502403, + 674659526, + 137000191, + 867466954, + 626159001, + 86151185, + 652163675, + 875459737, + 931747826, + 827899151, + 822847113, + 444691524, + 917283716, + 538008540, + 567887668, + 942238825, + 582789494, + 900696339, + 312179893, + 519118629, + 156722027, + 588166313, + 394695248, + 623608245, + 748454192, + 624977311, + 82077857, + 914408336, + 679286071, + 463058966, + 964466499, + 439887762, + 630055531, + 414411936, + 435955145, + 486530787, + 985345523, + 131845973, + 838171801, + 15580441, + 407579483, + 250881447, + 569935283, + 195676201, + 471682619, + 136748040, + 652985196, + 845798274, + 977277345, + 969281985, + 562769658, + 954677164, + 336645103, + 846700035, + 285227830, + 453397000, + 66246726, + 372786750, + 154514671, + 225363784, + 140519100, + 24687124, + 196750559, + 463099077, + 559003600, + 336489278, + 268740551, + 9114222, + 357265515, + 347831369, + 583238201, + 63132763, + 818981390, + 80707007, + 394908963, + 496756482, + 352926999, + 913097545, + 946064198, + 685666693, + 374182832, + 565275100, + 992963212, + 98678926, + 394042864, + 907703474, + 892097647, + 39244483, + 742158582, + 648579740, + 97567708, + 845472327, + 371509011, + 692168526, + 442052983, + 358555355, + 858690395, + 507062175, + 825495951, + 846539122, + 700772512, + 484807297, + 34618534, + 173075709, + 431307067, + 287930543, + 859133969, + 849920311, + 660956206, + 951891196, + 979111212, + 154702810, + 830059573, + 691029743, + 98030433, + 629225990, + 287454421, + 541525369, + 295665213, + 579711639, + 181707303, + 270863340, + 826206533, + 129918529, + 226949125, + 393813251, + 27632199, + 219599102, + 42533580, + 906427937, + 142523298, + 210032413, + 903611912, + 45898977, + 632282466, + 170311728, + 998318657, + 782251127, + 607252314, + 334207179, + 142840357, + 575826507, + 70011166, + 151340577, + 725782952, + 597523408, + 586920757, + 592529654, + 420145717, + 483133709, + 919399536, + 854847708, + 288529766, + 504429740, + 62778793, + 223526246, + 789307417, + 554769911, + 650793356, + 632505518, + 507388716, + 819452503, + 398978522, + 292778334, + 129662033, + 242587223, + 337804326, + 317350863, + 892107172, + 591864272, + 286095755, + 578227659, + 80740532, + 352456221, + 686798859, + 505287351, + 381946953, + 275356746, + 883240768, + 72372131, + 347498435, + 327609495, + 145020051, + 710851393, + 436270804, + 803553855, + 230958290, + 381343268, + 987714180, + 993609078, + 91828268, + 40496139, + 176926963, + 175088491, + 291588840, + 399477269, + 303732580, + 579229267, + 820426465, + 41257135, + 833532519, + 40823139, + 628465699, + 49688976, + 31578203, + 364657981, + 585081753, + 803666943, + 668280831, + 234571486, + 641600563, + 762733126, + 610818138, + 197341048, + 272608622, + 509464408, + 619127444, + 736348753, + 286157365, + 644361130, + 979817532, + 200295736, + 179934071, + 881989235, + 964815216, + 838066074, + 76045281, + 613124107, + 845896278, + 485789107, + 288835272, + 230484028, + 447081096, + 474265689, + 107641084, + 923818902, + 516317009, + 500887889, + 890078653, + 60052627, + 52863095, + 270362545, + 323929289, + 239412132, + 251183825, + 429910781, + 257122297, + 109386714, + 85383694, + 617455578, + 73516378, + 320482474, + 823752827, + 569065284, + 372311029, + 652924147, + 726189763, + 643757153, + 273322210, + 949372126, + 224707978, + 292681603, + 961759899, + 811399092, + 737071839, + 677746745, + 999342689, + 969732344, + 189852076, + 13000244, + 613414535, + 177928398, + 879316091, + 366974990, + 902089072, + 939516654, + 464478760, + 911456267, + 857057644, + 258394710, + 290913027, + 715221496, + 572782269, + 156459868, + 252295374, + 527185866, + 699351588, + 417794960, + 676032008, + 99830089, + 97719614, + 851428761, + 61255178, + 909852889, + 78552145, + 42902976, + 587698628, + 292615921, + 856360750, + 766970949, + 649594043, + 599763752, + 112763470, + 281984507, + 456968251, + 635504646, + 669124255, + 968089339, + 398857258, + 651559390, + 49429897, + 693840498, + 970522429, + 182354286, + 785991061, + 312236519, + 336775518, + 572052240, + 2720985, + 940483566, + 3266264, + 787718820, + 332615506, + 179111803, + 814014864, + 440471327, + 686274294, + 337675153, + 433224530, + 923814779, + 558496291, + 793915653, + 371064283, + 121507131, + 636362529, + 451808565, + 958066853, + 917857359, + 941231408, + 73930420, + 560517322, + 549388134, + 242196721, + 826146804, + 594868434, + 641762579, + 246884442, + 629721184, + 993370539, + 37298935, + 713440132, + 364526921, + 405369256, + 853279684, + 980857350, + 444732569, + 847199647, + 646416097, + 262182494, + 850405072, + 375830473, + 375801357, + 19516269, + 849173279, + 604942155, + 581611017, + 611277835, + 766795375, + 542232261, + 965135419, + 755936453, + 365112338, + 709286015, + 31541771, + 140050167, + 583844122, + 686950180, + 558018088, + 537932891, + 391784405, + 946178397, + 711647927, + 303783712, + 904192393, + 883597464, + 73031737, + 858269565, + 949689554, + 753172809, + 286558384, + 716472317, + 857250539, + 610118646, + 529052243, + 971724148, + 686821008, + 117350953, + 204574936, + 255552073, + 420405835, + 544507676, + 582079831, + 3434612, + 184932051, + 483686687, + 516366757, + 800927022, + 968082037, + 568157180, + 234085412, + 233468877, + 562636549, + 338817096, + 62512519, + 634099038, + 125968689, + 865328053, + 171805415, + 214879095, + 9226319, + 967119800, + 155753314, + 627317415, + 724184613, + 456754141, + 383088794, + 388048149, + 348733286, + 72487263, + 545653332, + 595163686, + 238179454, + 696852179, + 136775774, + 543089084, + 575336218, + 493389321, + 57905433, + 780393841, + 28373297, + 875649011, + 60597705, + 10501533, + 769981057, + 175473036, + 454059480, + 214447932, + 766981010, + 833771553, + 699994713, + 336114201, + 228358652, + 167219923, + 626507358, + 829513101, + 545724343, + 764125036, + 819964160, + 811145258, + 733546061, + 137516951, + 836572101, + 443913679, + 423128644, + 477039982, + 44086094, + 914979747, + 425015143, + 545945206, + 350856623, + 422882999, + 542728376, + 281472705, + 146323965, + 387539114, + 887101322, + 203928796, + 557015044, + 539385958, + 160505770, + 530050888, + 920938189, + 290251262, + 19526307, + 397188919, + 333664364, + 995279125, + 189200254, + 403498451, + 859591333, + 362474496, + 994557218, + 701788292, + 949051372, + 547760826, + 533028076, + 394415801, + 719105695, + 340535042, + 176211141, + 992722424, + 26045749, + 42702260, + 736307368, + 263277284, + 590740589, + 827123683, + 871983320, + 711390299, + 818760622, + 788269519, + 346305754, + 66908693, + 410365062, + 441253237, + 406640661, + 963914443, + 587194277, + 768278450, + 827750999, + 989044531, + 59946125, + 792592002, + 602369575, + 410248708, + 177749731, + 630491484, + 661911639, + 255971937, + 593895713, + 738453984, + 932290444, + 797665165, + 921091967, + 406733209, + 713173564, + 651484988, + 982401752, + 642896846, + 712275321, + 831209815, + 852699150, + 472753354, + 287344590, + 936240944, + 831206703, + 319293337, + 34399520, + 359515854, + 626594229, + 781038498, + 465806003, + 838190655, + 680150058, + 705506639, + 605270192, + 601821583, + 438886076, + 550841005, + 947497369, + 597570830, + 699474285, + 241873586, + 701525400, + 320134357, + 183541137, + 370326644, + 948967689, + 860305139, + 407671131, + 326040882, + 669595634, + 592411655, + 895709392, + 217757214, + 555473407, + 216641971, + 23528645, + 714948306, + 813649979, + 83885115, + 274112601, + 490636448, + 864490134, + 127818590, + 544376055, + 928393661, + 771093415, + 136568556, + 100766791, + 420283630, + 889095275, + 101687816, + 834322627, + 486530399, + 520558689, + 845589648, + 393921403, + 463135491, + 856810967, + 845238662, + 978864674, + 964502754, + 373317924, + 358265835, + 636567811, + 241636499, + 783293004, + 60275530, + 246390175, + 137046182, + 394732566, + 515710543, + 841243459, + 946727883, + 767690507, + 903781621, + 547324798, + 555499585, + 292112372, + 764800653, + 383971334, + 725118709, + 758358350, + 74343053, + 290321764, + 709753831, + 961727254, + 168944974, + 164483605, + 377520402, + 63184171, + 139884319, + 234827181, + 358034748, + 712875470, + 509365064, + 203387578, + 952587845, + 965701034, + 383217975, + 445305780, + 218396267, + 562259632, + 824145321, + 370470991, + 341762551, + 710766547, + 990520754, + 514526360, + 434163576, + 77872344, + 686492264, + 21064751, + 127405510, + 75445008, + 380604912, + 595265163, + 54308005, + 895004898, + 664540229, + 552210857, + 773156450, + 598763949, + 888554498, + 223250727, + 487776946, + 1004849, + 774886071, + 482601251, + 442683578, + 688520956, + 742214158, + 790763854, + 920969505, + 993129003, + 271269749, + 637075292, + 818445372, + 721605926, + 905003698, + 219244526, + 416379451, + 916731989, + 726588022, + 567383859, + 620600218, + 44375163, + 713741125, + 233594139, + 901958256, + 73737415, + 914528879, + 177557364, + 124271772, + 201694637, + 468664391, + 644614497, + 939541007, + 278275413, + 343909517, + 586466301, + 694693596, + 94277030, + 709783283, + 254974856, + 342910617, + 629704015, + 189273187, + 897327588, + 607620004, + 142939548, + 175585887, + 652384065, + 709864026, + 877268801, + 797778039, + 818198196, + 965787908, + 324349236, + 230071142, + 176549925, + 142310954, + 567371671, + 999043630, + 425926098, + 201620705, + 365221887, + 901539758, + 987192568, + 35857210, + 636154234, + 39524948, + 513969655, + 760250257, + 861149844, + 796804091, + 100793722, + 317526463, + 855921597, + 829715530, + 797308981, + 195353875, + 814430976, + 519201226, + 483995969, + 335820001, + 730403515, + 956295411, + 271039610, + 438852302, + 339142415, + 3098589, + 689362615, + 411893289, + 327273672, + 126646191, + 697698265, + 65817979, + 927387394, + 726493719, + 271378715, + 417906457, + 679376495, + 303165334, + 796289975, + 954520765, + 498748873, + 862324350, + 332408280, + 860568570, + 207316986, + 929451339, + 230212808, + 372598683, + 216771952, + 200821338, + 393613509, + 493269646, + 636905778, + 934124638, + 510587586, + 220477781, + 444587291, + 871051525, + 395096920, + 979256175, + 206725288, + 770510089, + 369085609, + 714498509, + 2650289, + 862009189, + 762057157, + 757153233, + 495104670, + 914680447, + 487882646, + 800309270, + 88291968, + 35916177, + 932844104, + 484462763, + 358311909, + 571260433, + 991906925, + 970995100, + 961948568, + 703600202, + 765079278, + 871048366, + 486448876, + 218799603, + 485594672, + 489727328, + 990482433, + 450153566, + 62336841, + 548334986, + 535390219, + 953448374, + 880084929, + 342380600, + 215108339, + 922924027, + 690432480, + 785397233, + 58400038, + 799799262, + 766129224, + 411271650, + 691985514, + 381715138, + 421535494, + 690656902, + 43556730, + 72397941, + 422101676, + 308818772, + 593765517, + 225437881, + 408677824, + 634379960, + 71267728, + 710752715, + 679182931, + 859542561, + 473579746, + 122628141, + 205257820, + 871893168, + 341356720, + 265659050, + 330762252, + 135663849, + 775303884, + 234886289, + 934709789, + 360323689, + 463500635, + 911847219, + 361601045, + 703758281, + 790377891, + 907188577, + 476260980, + 662712616, + 932983767, + 206862301, + 581400931, + 1530848, + 354117037, + 142951889, + 526760368, + 688566135, + 402495204, + 524756342, + 229753913, + 20526514, + 453345809, + 927377229, + 748980693, + 551710740, + 818360440, + 123224710, + 384209785, + 405535651, + 293336655, + 851339202, + 123770648, + 176437030, + 730557898, + 765251582, + 852596847, + 509487100, + 850278726, + 561834648, + 925358556, + 921898392, + 149315038, + 152388192, + 91051579, + 200492799, + 145051700, + 540282940, + 178567734, + 18660538, + 15081249, + 264282102, + 369480355, + 988236843, + 841418606, + 680196565, + 799832616, + 716415137, + 274774922, + 609715968, + 760813266, + 296717810, + 632608492, + 748345617, + 188215522, + 449647077, + 290531101, + 440034753, + 561488800, + 765664028, + 290706087, + 548573700, + 889786316, + 729277620, + 98160245, + 662349459, + 942761055, + 349747141, + 169882815, + 408654261, + 979120637, + 629296501, + 622388221, + 206122533, + 253261021, + 234351731, + 441783122, + 300292782, + 366568555, + 177913477, + 886275902, + 453991962, + 121236578, + 918700279, + 276782381, + 332428745, + 628325053, + 36312585, + 297996158, + 658832188, + 723564913, + 94252361, + 332785893, + 97541263, + 613285026, + 459417240, + 180312047, + 437640160, + 422184487, + 277447196, + 477815263, + 677858641, + 851621339, + 22047706, + 277068487, + 111859841, + 604580126, + 199090146, + 867183836, + 827363000, + 84839888, + 69898493, + 641417979, + 74680499, + 348566259, + 563998473, + 409997274, + 878459211, + 900467847, + 745843328, + 473458089, + 780692735, + 102787690, + 758196351, + 470988426, + 609714186, + 974450846, + 877155461, + 536988221, + 493069451, + 1453580, + 725803442, + 922316235, + 497450853, + 138675997, + 228190108, + 99727895, + 540356270, + 375125959, + 300017294, + 976538266, + 442929743, + 556082892, + 253282766, + 387931054, + 643946660, + 415818108, + 848412050, + 107254365, + 567225790, + 846774202, + 732925650, + 300507432, + 952371218, + 499201049, + 94339492, + 49848278, + 603185444, + 313437640, + 30559294, + 453110321, + 742921878, + 31489104, + 950201985, + 137893033, + 240451850, + 756081087, + 384724585, + 673202438, + 350500625, + 304681919, + 805937342, + 783496485, + 132714877, + 466293006, + 514324490, + 144168475, + 125290896, + 89688038, + 230390897, + 336705247, + 882376959, + 587224376, + 182704799, + 25600937, + 411947224, + 485103606, + 209713885, + 632155908, + 713547836, + 650768792, + 768255514, + 562032464, + 827474202, + 98610936, + 980224527, + 929502240, + 735751804, + 856184223, + 729924400, + 462604268, + 540151663, + 758716552, + 30909858, + 985367816, + 2987637, + 395069485, + 960287989, + 34553694, + 207189124, + 441352475, + 352094595, + 968808598, + 604341095, + 423605230, + 416501038, + 858724793, + 277541499, + 813185970, + 310349687, + 910464479, + 756149781, + 254759034, + 810590379, + 949199574, + 579423805, + 34439604, + 158310592, + 475594217, + 756856051, + 27068424, + 857286840, + 351494439, + 837494901, + 658123850, + 247665784, + 74747809, + 12120699, + 618357918, + 120873751, + 904081756, + 762310140, + 460148798, + 873761784, + 40239606, + 915233925, + 571568951, + 287868859, + 649923592, + 642239833, + 233488362, + 987542477, + 276798158, + 327208642, + 256876300, + 589241301, + 958321030, + 422696199, + 374530894, + 499502144, + 782656580, + 787340392, + 619502197, + 547692574, + 427486486, + 576224208, + 429555873, + 763934982, + 585400520, + 678924670, + 479413996, + 879049613, + 454771049, + 140790072, + 737705552, + 584148829, + 967177466, + 601472796, + 558031960, + 738168052, + 261767222, + 179577027, + 490535465, + 343665522, + 66784508, + 322863888, + 113870301, + 261945046, + 190332957, + 397238167, + 852904102, + 864710597, + 457979672, + 246688793, + 515286074, + 113946652, + 464819157, + 853989284, + 76543177, + 854487075, + 404117048, + 9456958, + 97489937, + 674065828, + 685605622, + 863825650, + 352193762, + 112423389, + 736341751, + 512750552, + 776362773, + 226406391, + 710452630, + 148110918, + 334290521, + 155556186, + 582077371, + 797824765, + 860144610, + 29837664, + 402664700, + 273036857, + 295384986, + 869468647, + 512169570, + 662284334, + 348321704, + 449654337, + 615117886, + 204240368, + 737639325, + 596491747, + 1778297, + 992742473, + 797486845, + 812883625, + 691275240, + 682141035, + 632459859, + 515103343, + 840336448, + 388801056, + 892168071, + 375748831, + 832195705, + 103613062, + 88858393, + 178792449, + 607131057, + 493792001, + 566061698, + 380511692, + 292057129, + 740094751, + 560042352, + 600729404, + 107361027, + 162039487, + 884954959, + 937322002, + 557776239, + 195228465, + 499935567, + 904078535, + 685638759, + 451284205, + 38748604, + 439895534, + 507543511, + 547482878, + 150048083, + 466027281, + 498317433, + 922799669, + 245384579, + 566291956, + 37524328, + 394963685, + 188508654, + 329924214, + 783539204, + 157453523, + 544458923, + 789204005, + 723898481, + 907875341, + 343386510, + 488856696, + 380990891, + 40967873, + 108288561, + 487360658, + 487416954, + 468762448, + 368887450, + 662678627, + 250780491, + 201872907, + 786225119, + 497709873, + 889214914, + 26471067, + 792380984, + 276474160, + 215765593, + 854211157, + 571138447, + 948692049, + 506930195, + 487843274, + 170162978, + 992498549, + 438094991, + 774805651, + 360452057, + 264850711, + 858726636, + 184755653, + 601227390, + 316543592, + 270517491, + 844840088, + 644682121, + 325920183, + 63510358, + 40924721, + 201362442, + 31459972, + 666759663, + 223210660, + 483033461, + 261505021, + 670416609, + 830324356, + 69423645, + 228346258, + 144130957, + 200104378, + 416255458, + 646363604, + 748423128, + 17669405, + 728389107, + 849439564, + 393658932, + 480516522, + 377409374, + 657639274, + 702087086, + 963578502, + 208999513, + 285846993, + 499188836, + 52387832, + 208494369, + 297854244, + 361550784, + 417205855, + 298959188, + 564889591, + 171678957, + 110802026, + 792798175, + 196408775, + 182731561, + 50118507, + 503717502, + 409283158, + 347159088, + 157888270, + 982234182, + 599070611, + 980643417, + 621936584, + 223208489, + 120900403, + 565917355, + 824907606, + 310317795, + 129042116, + 195587952, + 843766468, + 756033729, + 53502021, + 525774634, + 308332485, + 696973954, + 43387247, + 743203554, + 929938531, + 931865379, + 894621642, + 893770610, + 209064646, + 146165254, + 220620903, + 955471756, + 525508420, + 230197674, + 757023859, + 140903645, + 17960882, + 134063743, + 527186633, + 520177450, + 633371752, + 394826332, + 541179346, + 168209535, + 835536448, + 864549299, + 786288235, + 404359034, + 547750144, + 570726841, + 561658198, + 515267032, + 283576921, + 672079993, + 270310838, + 904935060, + 174064572, + 522453297, + 917662814, + 695756459, + 890068744, + 632736145, + 28818790, + 746411531, + 643225342, + 19868075, + 922393993, + 197499284, + 907093854, + 329021792, + 568072148, + 432064132, + 803855327, + 768778359, + 744146217, + 285337675, + 233027064, + 235738280, + 475069789, + 343478427, + 974924421, + 534925483, + 915324187, + 404342408, + 341314805, + 500200359, + 664796294, + 905539260, + 569742784, + 650660889, + 90036679, + 505088271, + 767517951, + 837870211, + 755814771, + 691459591, + 992893690, + 465614303, + 584540661, + 292306160, + 753332558, + 758362959, + 544812045, + 187788867, + 129314254, + 613506261, + 645565046, + 748914596, + 201265364, + 661891426, + 713295144, + 775925245, + 649660227, + 270391344, + 244390627, + 26976186, + 439343844, + 606581913, + 402469269, + 194838366, + 919249683, + 556605026, + 275027970, + 521387327, + 154113796, + 7518592, + 799154260, + 695010464, + 833953489, + 987125409, + 516309641, + 77816421, + 402969097, + 147648365, + 564384998, + 916198004, + 39007486, + 381773405, + 771344213, + 791517741, + 48325217, + 726881247, + 326935544, + 87490294, + 767356783, + 51267217, + 888400644, + 59440086, + 537316087, + 992701890, + 419747229, + 292433093, + 785041135, + 868286229, + 721946957, + 665780205, + 612395877, + 982017549, + 533891983, + 849314125, + 660216005, + 205093549, + 886638823, + 924572913, + 460896448, + 695965718, + 235459061, + 328941207, + 498658085, + 478555930, + 987710596, + 177888993, + 274251616, + 759341908, + 249071773, + 583373250, + 232773697, + 967908345, + 732341387, + 497682800, + 196756014, + 885713951, + 990562171, + 721624828, + 663126666, + 122206826, + 680872716, + 678360006, + 656043287, + 388658986, + 80228346, + 802900682, + 460344226, + 962554285, + 251877979, + 931072675, + 13251703, + 229684721, + 74512179, + 408805872, + 846127565, + 746019186, + 209165243, + 196798342, + 717835359, + 680641736, + 325302443, + 926427294, + 917624519, + 240975095, + 283842769, + 285320633, + 923637933, + 962848481, + 659560206, + 274073990, + 109517719, + 766749744, + 159233601, + 463262705, + 582798612, + 332420045, + 604803617, + 99815403, + 309263379, + 801913377, + 921169745, + 507390195, + 49351412, + 891225042, + 186378212, + 745450315, + 480140981, + 604118933, + 128803565, + 173284915, + 623154511, + 174667270, + 979847380, + 360891841, + 596192209, + 541294967, + 984565838, + 243153998, + 167359901, + 472940817, + 380902959, + 115184265, + 7496250, + 251733383, + 475422600, + 493781920, + 677275565, + 775165701, + 429018484, + 706707561, + 19671681, + 24290291, + 154894358, + 393574615, + 862311012, + 258913498, + 213097972, + 412383745, + 109564119, + 791048503, + 967319935, + 472246493, + 92591341, + 498032641, + 291626644, + 369703820, + 23191010, + 427282293, + 878901713, + 188197462, + 534720785, + 775084629, + 408808555, + 585389623, + 424058376, + 729256668, + 939747888, + 261893656, + 166175916, + 336340250, + 33677084, + 882089024, + 916749486, + 620274169, + 571025477, + 760787486, + 134463346, + 260256750, + 83835954, + 353865745, + 17637081, + 150483063, + 788400380, + 288719002, + 642624149, + 243211747, + 438484909, + 911248810, + 839159093, + 387978842, + 468363311, + 798904821, + 331356215, + 408720815, + 279641762, + 396443139, + 857431043, + 524394243, + 728180439, + 695092217, + 6728802, + 729487612, + 426166941, + 818825619, + 412888165, + 205173498, + 585898257, + 158019819, + 360563875, + 401948224, + 397710340, + 100424040, + 372567835, + 337850659, + 873232988, + 211659814, + 492305617, + 527630034, + 965808631, + 336755757, + 347408089, + 170894892, + 852799138, + 475314713, + 981967321, + 848441035, + 285282213, + 898104402, + 372843879, + 866080483, + 457590082, + 722541367, + 758059609, + 663955067, + 913945600, + 751915428, + 611167691, + 117334755, + 572447225, + 933799485, + 354615711, + 182142631, + 787008926, + 142999279, + 146579397, + 614888274, + 609204299, + 322921411, + 967063211, + 534347223, + 735928840, + 854807349, + 860154263, + 593424647, + 683695312, + 305100128, + 118864210, + 339919170, + 225250473, + 520580709, + 264673700, + 402524164, + 495370576, + 119625939, + 202485996, + 280585741, + 503762094, + 875142290, + 527859735, + 311624963, + 105696547, + 747399731, + 408280049, + 431730291, + 721763019, + 171228557, + 842902514, + 642404769, + 776160920, + 893777101, + 156627530, + 243291, + 349373974, + 765087966, + 774094700, + 84837670, + 726730378, + 355829599, + 169415420, + 374154930, + 805871024, + 117318386, + 465491036, + 893448035, + 342798795, + 414142348, + 252316068, + 807265194, + 815746496, + 559406342, + 478331686, + 355944935, + 166109699, + 94744777, + 903169835, + 309464204, + 367036110, + 297449012, + 113693814, + 356161515, + 150977603, + 919299167, + 139731632, + 877255824, + 497394566, + 894601891, + 180987131, + 981886527, + 605378692, + 726995629, + 737452495, + 741994473, + 219093102, + 937316920, + 616216209, + 637575205, + 222375085, + 71921485, + 802821842, + 6935555, + 621553245, + 723256757, + 191100975, + 69800952, + 31074772, + 599198173, + 141417353, + 659474974, + 263631939, + 95607180, + 10142881, + 262761912, + 765704743, + 654631066, + 122104034, + 19724920, + 437243160, + 969207631, + 7146199, + 792984391, + 37047653, + 976980701, + 550668751, + 720156838, + 745601903, + 696348992, + 313593250, + 620244008, + 320677745, + 231391621, + 590232360, + 242874008, + 678391481, + 984601259, + 361273373, + 896060180, + 946110504, + 933750206, + 908039357, + 85014791, + 241404147, + 300985406, + 158562082, + 750397585, + 195300358, + 786077332, + 368575103, + 235079973, + 643280990, + 874330097, + 838104001, + 254104695, + 472813792, + 442046958, + 901817507, + 99987886, + 691661010, + 34846040, + 634192313, + 633256910, + 341435033, + 958121013, + 808232179, + 193807605, + 702974730, + 276330736, + 496523737, + 584451646, + 361652597, + 619197334, + 167768962, + 927063635, + 784901840, + 769906717, + 363793795, + 106302296, + 276573604, + 566494384, + 134990942, + 66753992, + 41954520, + 111369038, + 997305486, + 27448214, + 254759449, + 563931816, + 575471912, + 554623427, + 753459153, + 887582767, + 719438466, + 440940345, + 186941394, + 773592840, + 905741581, + 631594963, + 664173991, + 270503686, + 340091128, + 406701708, + 564604679, + 450490144, + 114379061, + 692289455, + 520417602, + 764783344, + 655864683, + 458747326, + 991475650, + 81985194, + 964947830, + 79535981, + 52222489, + 431547248, + 575108764, + 494455715, + 580839031, + 836846223, + 247111433, + 839639098, + 155280010, + 987577551, + 357763881, + 803316135, + 677175043, + 534061741, + 110555568, + 402225595, + 101245545, + 584903374, + 359481630, + 436801208, + 841677764, + 774625396, + 353949202, + 622432092, + 862244028, + 516533709, + 956641035, + 262156521, + 993641842, + 894887591, + 494988406, + 435308180, + 502212487, + 126184386, + 680207901, + 950664804, + 365343632, + 179217307, + 120170478, + 468602970, + 119806436, + 893119739, + 937981712, + 410669539, + 503890205, + 556513152, + 772495378, + 861904860, + 312039747, + 147818511, + 348518600, + 350928667, + 821803495, + 331540952, + 322036758, + 921683957, + 252572236, + 928944123, + 842500201, + 390453284, + 793668457, + 500184602, + 9159102, + 753614702, + 155303542, + 397739146, + 663061359, + 630250507, + 154844524, + 665978369, + 415364063, + 361103696, + 686308792, + 992169347, + 641021828, + 200573798, + 128881871, + 904151778, + 110308868, + 365017733, + 507713337, + 204336521, + 288721272, + 228366890, + 485287135, + 573434176, + 633447792, + 396553272, + 366954688, + 869603753, + 569891912, + 891119050, + 356937369, + 582049329, + 955289468, + 350500745, + 963548576, + 408978740, + 147135909, + 185386174, + 567433724, + 47076786, + 285927185, + 335279470, + 637760856, + 49152532, + 145826676, + 376582132, + 21623559, + 689378117, + 476563805, + 892123458, + 996305259, + 330418329, + 11110467, + 568605523, + 979703399, + 352663274, + 911370165, + 250801747, + 637964410, + 117867343, + 673985295, + 929958206, + 376792683, + 878192255, + 928022992, + 850372418, + 526394119, + 197011774, + 786804199, + 963649209, + 261397347, + 482492826, + 752331645, + 220340807, + 165346486, + 337104740, + 919836091, + 957840940, + 321730959, + 427914886, + 933788775, + 568069431, + 716498802, + 247213543, + 640914069, + 938107795, + 305818259, + 42659700, + 46834563, + 103810680, + 238358164, + 151068718, + 486963496, + 76651562, + 771294677, + 312071605, + 562221750, + 227882320, + 796145732, + 323786331, + 263145416, + 506017227, + 962610919, + 601824209, + 323570436, + 822643480, + 931127127, + 211184262, + 420117361, + 954449931, + 619369427, + 624727355, + 790801172, + 125399136, + 479488557, + 695648444, + 206954400, + 120238918, + 186105244, + 674965280, + 598226841, + 62839372, + 366321901, + 809403099, + 151788028, + 29828382, + 824258489, + 523918561, + 565076286, + 830930592, + 233248570, + 565495665, + 306171271, + 996475249, + 256039483, + 70600319, + 420934999, + 981670081, + 8561225, + 940251235, + 204130644, + 712809900, + 888411709, + 904047918, + 183383453, + 713465431, + 133428936, + 576879755, + 562042927, + 356821453, + 22903182, + 656948581, + 45649600, + 450958842, + 913354713, + 737623591, + 456356020, + 245530062, + 29704831, + 143505532, + 998807255, + 408151007, + 669389686, + 804285410, + 415832335, + 623157164, + 880688919, + 776754266, + 521076192, + 188776510, + 611939070, + 959487935, + 608760182, + 712441131, + 560490454, + 915766307, + 830377031, + 296963387, + 2036989, + 661213946, + 339983886, + 52400994, + 74768106, + 413028868, + 271803580, + 828320361, + 757694521, + 708182170, + 158705170, + 881909040, + 427996893, + 195763849, + 179602305, + 573240358, + 349230970, + 903789826, + 588479259, + 933799892, + 484457149, + 526356564, + 897505385, + 896568592, + 829017898, + 986228821, + 994145242, + 729753512, + 207567606, + 795150900, + 697401979, + 310205794, + 518157387, + 716640940, + 702054192, + 671516236, + 835593866, + 132381371, + 922394143, + 854321138, + 26641278, + 288345548, + 569562661, + 893374739, + 922607743, + 560760422, + 68922219, + 593491543, + 154656349, + 107813530, + 523257106, + 489856049, + 171030973, + 502054854, + 306364414, + 990117867, + 756757248, + 530862397, + 686477562, + 124588275, + 471703247, + 901747005, + 59761733, + 529362380, + 587252688, + 433785550, + 739420563, + 980421667, + 317777187, + 188995250, + 296011612, + 48010352, + 794090563, + 148248120, + 850233010, + 411810006, + 463622610, + 872368977, + 403167054, + 897446352, + 167143701, + 56116635, + 894842726, + 178700708, + 789743111, + 740621723, + 31207345, + 771566845, + 159251234, + 496034505, + 831346329, + 413623623, + 114963052, + 465233827, + 148321755, + 889416968, + 358079469, + 351954485, + 827373390, + 780336948, + 552298162, + 655108231, + 974548979, + 945778847, + 563473607, + 700847989, + 507783183, + 96528717, + 535239795, + 284031564, + 702200285, + 528635268, + 59587954, + 414261700, + 881936920, + 500511905, + 125619221, + 14452663, + 122964142, + 114968247, + 270172815, + 310370963, + 229891866, + 262071725, + 637728823, + 467250928, + 382605208, + 737557033, + 684354820, + 792326008, + 654361563, + 111090385, + 439900336, + 136006355, + 800655151, + 588884485, + 243071811, + 615019534, + 208566806, + 248717088, + 118429648, + 930859354, + 321678701, + 760322841, + 907060451, + 967500506, + 319624540, + 363529680, + 91235816, + 970634202, + 430960463, + 609416487, + 643871339, + 318696298, + 888867896, + 867763669, + 148144905, + 470112059, + 712856948, + 201064634, + 438946802, + 103123157, + 469150263, + 906209462, + 946344563, + 535191639, + 443106913, + 56152086, + 346903884, + 644151673, + 875445357, + 661009490, + 989092979, + 619169424, + 949334297, + 810873048, + 170858833, + 59653529, + 359650450, + 640326280, + 428946327, + 770837982, + 634442379, + 293655548, + 551950508, + 551648803, + 834062451, + 151173558, + 333200299, + 348647914, + 984703426, + 333596333, + 858211804, + 561851164, + 806237886, + 167165427, + 837403292, + 749805515, + 628572576, + 494655843, + 366959825, + 839488381, + 840260167, + 494138259, + 297808612, + 893194248, + 124286964, + 363891002, + 809064066, + 517963391, + 885664494, + 59160324, + 754118117, + 416839325, + 195756071, + 821439470, + 548554567, + 939357145, + 552504900, + 82440261, + 258395798, + 935624023, + 71190970, + 280790479, + 555978146, + 470172162, + 34520064, + 204587056, + 778064587, + 952790414, + 561047196, + 630210732, + 619668130, + 125507602, + 80397813, + 395822791, + 383864227, + 23378705, + 51794298, + 67750768, + 850126393, + 201855331, + 697559359, + 172025993, + 905580798, + 473186795, + 183465560, + 505883149, + 684169657, + 118418271, + 230156695, + 894857395, + 163837297, + 531074578, + 559061344, + 304165242, + 490747400, + 66485587, + 596752912, + 133742425, + 965548111, + 578236796, + 903165249, + 752435594, + 130083264, + 499875124, + 123909349, + 344388744, + 599605843, + 696168228, + 614382534, + 901908089, + 633817464, + 211154931, + 147000631, + 553776424, + 324790148, + 279178657, + 839830495, + 879237830, + 304257069, + 186748741, + 210730427, + 190599768, + 748808881, + 871865927, + 717969038, + 535978059, + 358949544, + 960218507, + 855646915, + 491743483, + 487507393, + 652488398, + 832856949, + 313311144, + 587496292, + 446265885, + 688011135, + 397385061, + 106292696, + 257239453, + 579551372, + 192128097, + 220333209, + 551825050, + 130065547, + 910741650, + 129708968, + 930890062, + 757505171, + 570922336, + 172646426, + 90858516, + 990871622, + 896098402, + 805956707, + 561337442, + 339258466, + 296588263, + 682806413, + 92324789, + 774074227, + 771763939, + 625686167, + 71789638, + 798437213, + 661455702, + 603251630, + 396815831, + 452001521, + 238577919, + 453985900, + 796153636, + 906783031, + 416360878, + 942672055, + 560502, + 542954707, + 482438181, + 773470733, + 741300610, + 111450385, + 812338903, + 5487072, + 779763712, + 521666564, + 12280389, + 346882826, + 703890662, + 892551954, + 485841806, + 276850210, + 338192111, + 488328367, + 168421843, + 822948536, + 729613428, + 829563924, + 459246234, + 852975497, + 566627607, + 683708010, + 181914040, + 648963640, + 373569200, + 907619696, + 959603391, + 419968966, + 532729869, + 160865597, + 498869816, + 782302473, + 587594814, + 621310086, + 297648197, + 754826319, + 345640377, + 310014593, + 627062299, + 392186480, + 943095832, + 730178786, + 895061623, + 176584029, + 325739235, + 961636966, + 987156653, + 627432169, + 106241720, + 824381779, + 322826000, + 663212520, + 191382508, + 143179546, + 354511491, + 369913190, + 498519639, + 30149272, + 65581840, + 106236163, + 546362796, + 603742125, + 202643957, + 619040047, + 771967871, + 586954909, + 947750245, + 496980132, + 447018734, + 888802386, + 177719059, + 131630658, + 339479359, + 683315818, + 593020947, + 941283312, + 194650087, + 450157803, + 154708017, + 906223515, + 633820410, + 192202036, + 158587839, + 154610461, + 726123810, + 996168889, + 483547130, + 816615442, + 355898710, + 739000257, + 393403002, + 846198142, + 654849791, + 569102334, + 937744526, + 134765335, + 18424328, + 304817560, + 251288947, + 782041247, + 429850178, + 167653120, + 373258807, + 394422831, + 736336049, + 152983309, + 571350204, + 657407158, + 992098086, + 12961438, + 908351643, + 585811993, + 679309305, + 97255213, + 204583774, + 745869995, + 506245299, + 836960154, + 555487591, + 525265569, + 486488756, + 874064076, + 460638694, + 921352767, + 806276623, + 542884078, + 189257429, + 435177937, + 225378817, + 159190793, + 539668114, + 350660349, + 48184874, + 520591561, + 613816561, + 212351651, + 509826047, + 39636903, + 884562169, + 928474127, + 441262243, + 120548227, + 862948313, + 65028574, + 169000667, + 908836391, + 507003960, + 471285150, + 143645322, + 609493250, + 135653081, + 428437601, + 684333942, + 665367285, + 921383746, + 590323843, + 776251016, + 785630492, + 815870714, + 11467123, + 352592544, + 312263732, + 285234175, + 343326782, + 348324488, + 513995807, + 508040357, + 777113542, + 951091777, + 517402870, + 637644471, + 944922382, + 413779289, + 247968200, + 458193942, + 760291416, + 354911155, + 19070025, + 245822249, + 513088595, + 649922224, + 878634675, + 209305763, + 966250415, + 840414919, + 707248297, + 399076743, + 564099686, + 854333093, + 919756608, + 634353213, + 824078852, + 849535750, + 401876186, + 673102838, + 816261620, + 959518090, + 432870981, + 455332540, + 184490139, + 629449375, + 852594520, + 316752706, + 738688699, + 553092442, + 349366188, + 631637879, + 94590781, + 830208458, + 558025688, + 455505955, + 528470567, + 430963901, + 229802822, + 244182196, + 439885777, + 737779146, + 671349703, + 107983419, + 652183127, + 737391546, + 416694914, + 46428632, + 744839277, + 788310232, + 595752023, + 158233343, + 108187196, + 552511378, + 186119698, + 659260408, + 501758311, + 499199030, + 393224126, + 670518502, + 397048807, + 234387995, + 398680132, + 611846997, + 78383793, + 659182628, + 21093709, + 300367961, + 722045384, + 791814408, + 488517144, + 890917224, + 68187061, + 438907607, + 89337043, + 352103997, + 549214371, + 884269453, + 901155286, + 927539970, + 690032329, + 253374797, + 832515741, + 515976604, + 163779925, + 201216582, + 389580342, + 541121509, + 410349594, + 531048127, + 334350789, + 720258708, + 792356343, + 739896567, + 618357999, + 352294268, + 503518160, + 821392572, + 287431166, + 639545430, + 823168314, + 307026971, + 966037919, + 985764237, + 663108584, + 553757560, + 4341109, + 654407770, + 954935272, + 779844989, + 415830439, + 768315642, + 897167108, + 643785475, + 701552621, + 452427360, + 136436555, + 673997088, + 5673621, + 507147925, + 887886829, + 263805579, + 908867825, + 117907310, + 912217052, + 153272806, + 533464688, + 418640017, + 47692837, + 673952602, + 828197198, + 512166334, + 917227558, + 438662946, + 922889933, + 630006721, + 351249583, + 25620101, + 530276902, + 917186543, + 315126802, + 126514347, + 113814093, + 953302838, + 702023834, + 276009714, + 999850003, + 84936663, + 980757889, + 118496758, + 96832531, + 35006274, + 98031213, + 645877692, + 274448458, + 249276093, + 901360431, + 999811172, + 416265247, + 324407250, + 642950723, + 779514959, + 109209382, + 956064847, + 890077781, + 835471026, + 552521145, + 608006448, + 708261921, + 620556702, + 799844316, + 358486079, + 156421274, + 30417672, + 607035688, + 265397862, + 102458493, + 269667822, + 557036394, + 541557777, + 244576739, + 475796991, + 569363308, + 889695654, + 867259509, + 84250926, + 93710115, + 869415849, + 894241356, + 655955794, + 472635026, + 997531599, + 122565270, + 18211049, + 520911932, + 905844007, + 751629009, + 940338956, + 394678858, + 191786217, + 891650592, + 561719551, + 246766857, + 400880546, + 19054753, + 657343654, + 223812333, + 5327902, + 980713553, + 780899248, + 416005863, + 767432963, + 195441645, + 156857569, + 110345834, + 254638977, + 299710109, + 718578167, + 462314951, + 90950307, + 705040222, + 718547439, + 675497988, + 793203853, + 58165013, + 135082490, + 860633973, + 675021861, + 740961612, + 244504750, + 692729671, + 468810569, + 10109869, + 842043443, + 208593884, + 545852697, + 989034248, + 315788225, + 773137277, + 214306982, + 43924390, + 270620929, + 676584667, + 886907645, + 753864983, + 522166492, + 506755685, + 784738470, + 741146812, + 509200737, + 328194388, + 88330115, + 292803896, + 794412343, + 422253090, + 497676400, + 609502806, + 506957503, + 307162290, + 338393498, + 238955057, + 464897857, + 9694983, + 965916061, + 196739682, + 89313150, + 3004774, + 239826176, + 737832581, + 467400795, + 899358846, + 175774063, + 357574465, + 308026850, + 735716002, + 903304201, + 756325246, + 712610092, + 753421336, + 572457816, + 407334489, + 513276442, + 591742398, + 65595398, + 775233155, + 277614544, + 915039191, + 423511113, + 332840832, + 246296063, + 447620496, + 94940561, + 995227741, + 496127760, + 436546702, + 261708418, + 796785121, + 776619704, + 385831504, + 237024445, + 379006253, + 615113148, + 928527371, + 137709036, + 507646028, + 866111104, + 809146548, + 287901617, + 215293975, + 778568726, + 509014195, + 670853524, + 112504188, + 408585370, + 671621569, + 333434837, + 477713799, + 454529581, + 5370662, + 116442963, + 721220380, + 591491209, + 924975630, + 133659786, + 510852096, + 166115606, + 648294180, + 554479298, + 466658177, + 769317744, + 641486082, + 135091669, + 496606687, + 253936845, + 209103798, + 368281422, + 299719982, + 492184935, + 694811018, + 765015080, + 971255649, + 166119812, + 466964229, + 961273385, + 20871786, + 411511297, + 552979442, + 142939488, + 905178983, + 848617703, + 452660138, + 431610392, + 877581622, + 400937345, + 239131087, + 761645203, + 206895154, + 567547753, + 967073586, + 388435628, + 354141383, + 216956207, + 762850121, + 986681408, + 230323688, + 796452571, + 634270763, + 688156504, + 96756363, + 729054437, + 190678546, + 632022567, + 105108485, + 473617091, + 68715423, + 991648071, + 631205371, + 737509449, + 641874860, + 568267702, + 916151757, + 578700538, + 848478409, + 38787185, + 724873244, + 511872723, + 863872680, + 945395930, + 83787482, + 526760120, + 247728070, + 632193527, + 822121371, + 375492926, + 940763459, + 306466361, + 768653638, + 422711968, + 45470795, + 578942469, + 354096470, + 258505563, + 27777715, + 197001921, + 533814782, + 398435349, + 183938499, + 879391393, + 940201110, + 557143784, + 883292710, + 973351512, + 985184330, + 975263815, + 166613410, + 801898611, + 301157163, + 646554907, + 820764831, + 268915697, + 204757494, + 999404135, + 38573352, + 376841334, + 634703713, + 407423456, + 450646831, + 315309115, + 802168357, + 155103734, + 280227435, + 916413715, + 308180292, + 54497083, + 550978914, + 940932120, + 579322972, + 412803393, + 774269326, + 618765908, + 185336042, + 595824003, + 52256028, + 61811449, + 488024852, + 460020474, + 159743991, + 319988881, + 191001741, + 124442620, + 180311571, + 341723764, + 342368399, + 84083583, + 960114977, + 483375440, + 528859630, + 713035442, + 247954439, + 889409403, + 798369251, + 874593304, + 969607915, + 873620638, + 435904635, + 96887427, + 307035768, + 876756406, + 264823780, + 820821967, + 316659616, + 268152011, + 264436824, + 828499712, + 689920431, + 648245366, + 432276367, + 384883299, + 95891726, + 123185057, + 134964946, + 479664032, + 837568046, + 156487816, + 140505009, + 489429671, + 358604094, + 322048270, + 633341553, + 890748396, + 490526790, + 207662437, + 542484635, + 236881541, + 791098454, + 440470978, + 809597047, + 119227929, + 438040740, + 918264969, + 478505930, + 153444458, + 846128046, + 570264549, + 12757834, + 93213380, + 239466018, + 901428185, + 478247049, + 767773274, + 779997665, + 663161874, + 771471076, + 131889902, + 224700295, + 69119347, + 778928446, + 290242546, + 220900143, + 482641315, + 392016875, + 763616911, + 307446367, + 445792133, + 513363104, + 617136989, + 317775920, + 94108073, + 459462138, + 424824665, + 671587024, + 885870674, + 5592035, + 73326943, + 477918191, + 376921053, + 825545330, + 938804136, + 169523479, + 729047496, + 401138333, + 653464787, + 613254213, + 171141043, + 119499439, + 763029052, + 128953891, + 378321681, + 353089455, + 926769273, + 892390362, + 384029967, + 588075542, + 291319894, + 450482607, + 507045341, + 416652315, + 14235798, + 927248119, + 964387930, + 341778092, + 4904033, + 477206654, + 109448714, + 835864949, + 666848687, + 396743099, + 701337638, + 686843627, + 584688755, + 349479095, + 714769792, + 177900476, + 485779600, + 631953196, + 171923259, + 958361803, + 512631027, + 150462729, + 892102100, + 28933801, + 863566214, + 951235275, + 965690567, + 895773752, + 783028928, + 340202823, + 913990755, + 409521785, + 172941467, + 385400663, + 110651598, + 280524662, + 122608601, + 786544557, + 962861710, + 28718474, + 671267307, + 582408860, + 777627451, + 815655, + 410762244, + 936167693, + 21293175, + 57274010, + 824173919, + 764743855, + 107178466, + 876948704, + 700565135, + 781505695, + 160910171, + 630174148, + 947622828, + 507614358, + 705702577, + 127249627, + 166417060, + 608983170, + 338602556, + 315245071, + 539682467, + 59545020, + 423306346, + 970391448, + 188865159, + 850461178, + 497493975, + 713392801, + 455568205, + 442393343, + 964623111, + 420466744, + 270684487, + 229662437, + 627542146, + 449569012, + 700616169, + 784079762, + 784476723, + 549122327, + 875263267, + 632893451, + 717304143, + 823918420, + 897147431, + 869837697, + 598343087, + 719174759, + 261978601, + 586407675, + 687071631, + 409504491, + 440626393, + 168886132, + 698812644, + 887132519, + 635195208, + 634119601, + 835153244, + 652729070, + 593048275, + 436878393, + 889655075, + 833193455, + 634255664, + 983289239, + 556158646, + 653060944, + 511327498, + 198467895, + 791712181, + 662274973, + 160275673, + 784671161, + 145517634, + 857802443, + 532841373, + 695973673, + 860631939, + 320610875, + 913535410, + 594354554, + 453333644, + 745933056, + 940736039, + 109686413, + 678024881, + 889495964, + 366855229, + 705219429, + 595221998, + 641103846, + 223543494, + 526865776, + 533506606, + 454031750, + 54499518, + 677290520, + 824430367, + 221693726, + 465248439, + 172739941, + 469658795, + 68130181, + 313005342, + 442091731, + 359210851, + 299621555, + 356307830, + 22295235, + 666305576, + 622266923, + 344337827, + 165658509, + 652037495, + 501550314, + 934592887, + 798490895, + 872132761, + 747609964, + 238639496, + 840817221, + 783231998, + 877167674, + 544220997, + 243625454, + 729401512, + 478359033, + 756615423, + 391641029, + 856482511, + 227861057, + 748565064, + 852915328, + 506612224, + 834752900, + 763838429, + 338202842, + 814912124, + 591892372, + 128661681, + 934094994, + 756575064, + 453721288, + 88422906, + 635602321, + 338334357, + 239223545, + 337092972, + 476671606, + 341428223, + 137413326, + 139131672, + 892905220, + 629364019, + 849091202, + 236790266, + 329505574, + 444460767, + 20568624, + 882248642, + 2571008, + 508417123, + 531777958, + 98515365, + 899558091, + 366851045, + 375500438, + 823336369, + 185072236, + 716367241, + 879425602, + 843030322, + 829922287, + 570456585, + 549910778, + 936616715, + 339764094, + 802778611, + 479994705, + 258167503, + 211609914, + 354193638, + 361373432, + 208127450, + 669147958, + 826210833, + 705612307, + 736094989, + 832675084, + 251454220, + 141879804, + 317138609, + 107638312, + 478012147, + 272168494, + 767578279, + 221529469, + 781754373, + 105813015, + 130798478, + 410968860, + 80185502, + 625617539, + 601848511, + 355838495, + 832857246, + 911703546, + 133411427, + 469568635, + 560925770, + 900330414, + 351548369, + 3521477, + 566349368, + 648214794, + 105609513, + 138052287, + 527544571, + 458921545, + 899347973, + 669011974, + 213036557, + 337997768, + 651554644, + 582237327, + 369908357, + 288392361, + 931443119, + 395666848, + 634908216, + 297400652, + 53749325, + 985362747, + 849770548, + 943471335, + 577124761, + 741133499, + 411393452, + 439144223, + 411107905, + 675931188, + 319514963, + 979596665, + 133022527, + 828349289, + 730068827, + 440525399, + 199516636, + 286611426, + 95976589, + 571025998, + 756915492, + 197932383, + 875148110, + 222987792, + 831159435, + 348355885, + 460891660, + 206218143, + 402871479, + 83813266, + 752561462, + 709600121, + 591353859, + 935833269, + 571499364, + 344470817, + 161531517, + 157660765, + 574147021, + 722194645, + 474544377, + 586479999, + 436254832, + 963581782, + 83386059, + 364675001, + 924879790, + 892140219, + 734061755, + 63714833, + 640144659, + 561489995, + 538224973, + 98611417, + 980310766, + 83939986, + 600038470, + 637359607, + 847434528, + 797840770, + 435045202, + 352724430, + 461737152, + 225529477, + 658663412, + 525174222, + 232830628, + 239013097, + 389208690, + 862778801, + 699304414, + 974103199, + 850857442, + 102390193, + 350817921, + 19769815, + 831552803, + 300288574, + 173333411, + 329164610, + 900841820, + 799731376, + 72906687, + 281409880, + 210822534, + 773384747, + 568208095, + 98368083, + 311027377, + 772054171, + 111607737, + 998775245, + 877965950, + 290733275, + 232324037, + 511912666, + 251004446, + 944057988, + 451918023, + 823202324, + 299577984, + 614092414, + 260429315, + 182788002, + 504076169, + 487777101, + 139161669, + 28978957, + 275264637, + 225898355, + 872101988, + 716323700, + 373421581, + 253965309, + 492186536, + 266040325, + 520337995, + 770388705, + 568140945, + 647065312, + 476512940, + 700480455, + 801498179, + 802126142, + 373571515, + 309139971, + 202957657, + 793611974, + 668845100, + 524851603, + 525580314, + 795396431, + 331495802, + 947593319, + 278941415, + 46460631, + 399495589, + 869969661, + 663459661, + 660089309, + 220427491, + 76170475, + 710923557, + 883978192, + 39378973, + 791513838, + 501692383, + 665566328, + 314670657, + 873162949, + 787055985, + 989856616, + 461642927, + 756218097, + 673134320, + 550646990, + 167978831, + 50225130, + 297968503, + 261024236, + 901966420, + 735535302, + 480005979, + 454662903, + 12284259, + 332989719, + 416696146, + 515271406, + 563878313, + 632374245, + 161487509, + 839853148, + 463756670, + 640148867, + 966165957, + 983734178, + 110418001, + 929665664, + 979457566, + 756656205, + 890679259, + 166761221, + 284327074, + 548143379, + 376951296, + 423301823, + 377083143, + 394729917, + 800172293, + 150773581, + 682562039, + 426895370, + 112219566, + 762148519, + 373765500, + 620985558, + 932118422, + 803436498, + 668130678, + 532541389, + 212465492, + 435215084, + 158206717, + 41537335, + 503965950, + 458891305, + 469296292, + 991983343, + 495971328, + 233501683, + 350615076, + 505237700, + 324847168, + 326165811, + 366364368, + 240129627, + 432376761, + 388043699, + 152534796, + 643603723, + 350136296, + 967140723, + 841749929, + 768184502, + 616739699, + 570309872, + 644191368, + 404157378, + 659097853, + 776551810, + 761009548, + 881778884, + 182658010, + 699473127, + 287736986, + 529659709, + 150145514, + 987664547, + 574303751, + 742069178, + 374237709, + 500672267, + 124880668, + 3895767, + 906774767, + 866389653, + 138466184, + 205044671, + 405986188, + 381495968, + 839167681, + 79512218, + 774735974, + 852403513, + 288563692, + 132985625, + 610694726, + 142589782, + 719163698, + 647984266, + 245202702, + 394953902, + 685589902, + 370855310, + 868642456, + 365302141, + 763344079, + 995595732, + 427368759, + 55261273, + 107112901, + 288958615, + 793074691, + 324769595, + 605602454, + 518650577, + 283481077, + 425786462, + 163353996, + 889668473, + 680023596, + 820601010, + 902353307, + 234537997, + 527015514, + 374605913, + 909696535, + 784238847, + 731923122, + 248043141, + 677813857, + 535241674, + 89867068, + 470820513, + 660983971, + 402715209, + 29077263, + 507950105, + 726730471, + 214534764, + 319835341, + 477215941, + 141035693, + 271594671, + 914200369, + 48468211, + 906995098, + 801984257, + 213884299, + 976741911, + 46407092, + 644929628, + 549347332, + 410239912, + 257511055, + 417214772, + 276780936, + 567133738, + 528754063, + 834563967, + 782074958, + 910072082, + 990358342, + 830481457, + 179270087, + 359905609, + 367251770, + 56166012, + 606347880, + 559912710, + 813222551, + 44867473, + 501168792, + 766627230, + 831638985, + 166917183, + 422896387, + 235070050, + 896975975, + 869158698, + 815216959, + 438560061, + 130190749, + 215614604, + 4124245, + 210343113, + 366385810, + 500362783, + 546193836, + 43215051, + 354975937, + 726436418, + 464437300, + 659492013, + 629558502, + 173981846, + 293171207, + 638219006, + 758724823, + 23707600, + 92011142, + 542868481, + 785832991, + 45514816, + 993115166, + 284210122, + 749322879, + 386815938, + 173410293, + 264051670, + 613763945, + 696895445, + 15086443, + 64848866, + 379968600, + 197006680, + 575664811, + 328013895, + 629264989, + 538227647, + 335517499, + 361906969, + 39427217, + 283825337, + 280275181, + 952971143, + 933337508, + 706756096, + 324166706, + 271803859, + 12504750, + 19974332, + 515570230, + 250913556, + 815366834, + 901619452, + 733106703, + 568882338, + 899483463, + 390877069, + 459953931, + 85464906, + 40505771, + 624637120, + 600674771, + 626360229, + 703887121, + 419568224, + 887163591, + 601770453, + 362619547, + 826548447, + 902137712, + 132411985, + 392301499, + 22693515, + 900769122, + 904717469, + 258760463, + 693419132, + 813690628, + 393283760, + 980872786, + 769697529, + 7937261, + 343331663, + 922598235, + 959059855, + 1919403, + 905020291, + 19537029, + 447824694, + 83576387, + 210872580, + 663973659, + 97492767, + 725318255, + 761211030, + 633397170, + 673517225, + 722515686, + 396391501, + 884040212, + 483029354, + 698317665, + 681204005, + 595415319, + 698137425, + 177041382, + 385436595, + 280657591, + 786395036, + 2316314, + 555354425, + 792487712, + 522138828, + 916373268, + 978168103, + 387366474, + 606067889, + 346962517, + 288455207, + 434297148, + 186368362, + 197930681, + 978842432, + 667898252, + 425053863, + 998275141, + 935434408, + 679017407, + 526532744, + 730682128, + 588310224, + 943028887, + 726943702, + 252340066, + 950311849, + 278960048, + 182604689, + 294114584, + 149733440, + 817520121, + 646833490, + 892135119, + 69643032, + 56898201, + 40576712, + 669412734, + 397277190, + 369002984, + 250542402, + 790687183, + 264087273, + 763015285, + 619169001, + 102928930, + 996378917, + 597315401, + 775457810, + 754194205, + 692156911, + 47229571, + 584486795, + 773461985, + 473015636, + 936723381, + 770321978, + 540594278, + 855737579, + 273731821, + 19532456, + 892209266, + 930374199, + 909484189, + 226589693, + 383606382, + 437484438, + 843353235, + 180493494, + 31074068, + 987150103, + 109152981, + 239057981, + 598176220, + 578931775, + 234123307, + 694403138, + 306927010, + 86457531, + 378027192, + 678583736, + 5740535, + 462964852, + 348471064, + 863947755, + 848364515, + 781597259, + 831935021, + 970199383, + 635344115, + 407028321, + 353130830, + 90394691, + 396530676, + 816815406, + 225421591, + 495857643, + 425141262, + 844777245, + 883132238, + 165644105, + 721002174, + 523519010, + 613006877, + 791405040, + 435038744, + 430961716, + 122223148, + 773057392, + 256979920, + 562282275, + 584839368, + 222147190, + 462961335, + 445282659, + 889525558, + 708163082, + 469537945, + 891079184, + 676983051, + 256831379, + 789475076, + 152130578, + 390325827, + 798509711, + 913740661, + 811225104, + 796351248, + 477115385, + 492105962, + 684710404, + 863057899, + 489858720, + 261062014, + 16651325, + 650920130, + 394698582, + 583075511, + 131654334, + 258869183, + 465821411, + 23269182, + 763520875, + 609521671, + 939510917, + 289960770, + 45407208, + 404623837, + 971876729, + 462397213, + 619086302, + 137987189, + 902988465, + 525576516, + 170111880, + 341656179, + 905167467, + 296019775, + 430806458, + 124363613, + 978768218, + 296389170, + 627958005, + 655964770, + 625535984, + 57425965, + 93792867, + 338947882, + 114878362, + 5171519, + 242232656, + 961163740, + 260187243, + 719149499, + 221099926, + 18403705, + 269041831, + 656151748, + 229891540, + 732777824, + 964511683, + 637028398, + 878686546, + 944145878, + 402865511, + 228019652, + 169845547, + 902352984, + 958848549, + 136748122, + 959990382, + 858140713, + 294707128, + 808418969, + 334308342, + 619928447, + 328306850, + 206451800, + 435844773, + 199025214, + 541064359, + 608019246, + 925333268, + 935604288, + 500138604, + 178924976, + 368030885, + 10904453, + 367798779, + 833833859, + 372789296, + 578207504, + 112243667, + 957684036, + 513861505, + 490140794, + 762123701, + 580727665, + 983475088, + 203846221, + 226295203, + 857727811, + 820680867, + 937536681, + 433470260, + 133424480, + 563296038, + 883486664, + 431336871, + 698542386, + 685988732, + 315469180, + 957608564, + 785674739, + 445441879, + 493439907, + 635363348, + 185686736, + 720903134, + 858079057, + 96434374, + 152021295, + 126247417, + 32651113, + 93927807, + 628227467, + 175462847, + 243278476, + 387388337, + 648499160, + 141984621, + 111421223, + 588802843, + 390372525, + 871820060, + 346368767, + 318827524, + 655329735, + 2195018, + 587284148, + 846630632, + 153270631, + 588787264, + 985076680, + 795219954, + 142664243, + 414751783, + 248276241, + 756905909, + 928698281, + 72399084, + 194373370, + 264953813, + 416751469, + 61085048, + 890921461, + 57132686, + 711153362, + 796513629, + 677622795, + 883069101, + 672622034, + 954107116, + 99760828, + 300793912, + 289468788, + 552532652, + 562657521, + 974619910, + 774845487, + 157253812, + 647097364, + 969379611, + 311838174, + 313707515, + 120493140, + 78926016, + 635465380, + 696466420, + 90732205, + 8698593, + 630052446, + 298132652, + 866913630, + 366665770, + 253077527, + 594963777, + 33381794, + 635610504, + 912902194, + 187790098, + 13181142, + 541206956, + 271446571, + 255186211, + 377768255, + 167632508, + 960823115, + 566820915, + 947274340, + 533524180, + 400013185, + 828498796, + 844880261, + 503856382, + 811938466, + 40471060, + 441452474, + 280082831, + 289343636, + 400023726, + 347292226, + 500152893, + 72150792, + 615694946, + 942066479, + 211687170, + 377510665, + 289756261, + 767304154, + 553143144, + 100544804, + 908776349, + 470657665, + 127555862, + 969747043, + 10811584, + 558683526, + 391023227, + 475245702, + 334884370, + 325001973, + 577926949, + 140909008, + 827958606, + 380865224, + 517730849, + 709616434, + 177758485, + 503019056, + 124227149, + 478856898, + 227518239, + 705353873, + 525439791, + 411567454, + 151569478, + 795451578, + 519095346, + 904421715, + 953643655, + 308959187, + 965124903, + 688599845, + 731157625, + 464700355, + 932882395, + 51431780, + 67243725, + 976739293, + 552289707, + 483784608, + 423638223, + 997563486, + 696477750, + 286648187, + 854978098, + 426837814, + 827615551, + 765239623, + 842543176, + 796591735, + 838475420, + 663292186, + 610359737, + 92664276, + 31702427, + 805248607, + 155698316, + 510229788, + 549029033, + 331713383, + 306752838, + 383545415, + 302191626, + 657284313, + 280973126, + 798862721, + 308014264, + 546031856, + 517670544, + 835865675, + 701829425, + 322029157, + 81065154, + 316495571, + 54696325, + 571191728, + 5335867, + 774691108, + 40169435, + 422519406, + 60176515, + 137394853, + 789526718, + 178305649, + 56978192, + 276222714, + 427710483, + 785407383, + 418437007, + 349364699, + 835961586, + 758701695, + 771421772, + 171920640, + 399299845, + 732219075, + 42585112, + 533779177, + 783914356, + 683015857, + 316681019, + 586329111, + 715464328, + 427082179, + 11190868, + 95455382, + 612905135, + 874129629, + 526335048, + 320810998, + 351780057, + 635206482, + 146182981, + 429273595, + 895552847, + 945921268, + 677471298, + 850503457, + 88447012, + 929712058, + 302782058, + 123955111, + 732722521, + 544950426, + 226810990, + 580817476, + 684829679, + 749592241, + 542967851, + 276411972, + 898650506, + 793161611, + 807966269, + 768820571, + 284075625, + 695522401, + 956821185, + 800125006, + 75055031, + 962932811, + 26257358, + 80251680, + 769088021, + 382052572, + 678934760, + 67420375, + 874657805, + 624688366, + 605732326, + 262265134, + 925645698, + 236270829, + 110507421, + 157839926, + 59592681, + 155890635, + 188670235, + 905843758, + 754823048, + 495026555, + 176336234, + 406142975, + 645092306, + 508933605, + 242592364, + 461092820, + 825810846, + 303658056, + 960080476, + 617869252, + 482335596, + 773025193, + 466273659, + 320307531, + 95279953, + 189056370, + 501860144, + 342617327, + 306819175, + 910836658, + 169119665, + 89516117, + 895225223, + 12007320, + 358430892, + 586190485, + 34417219, + 638866076, + 591577651, + 689244006, + 26783403, + 289046137, + 825841765, + 629605311, + 887561206, + 801058514, + 764608296, + 29599168, + 22793186, + 76735196, + 79630950, + 916635170, + 263769362, + 414568114, + 464321917, + 555397290, + 820506634, + 599208628, + 96125595, + 837792557, + 707460949, + 145540672, + 352971819, + 301603880, + 522763502, + 630935117, + 927920989, + 358939256, + 464416006, + 12854451, + 838932152, + 508239258, + 148550208, + 787821103, + 493639467, + 637763841, + 398216541, + 38732460, + 494347236, + 693723097, + 77670697, + 829696252, + 226394751, + 398827822, + 620096317, + 702277404, + 377061960, + 998901179, + 311781290, + 926688238, + 761938581, + 168791757, + 766104021, + 853691588, + 773220657, + 80636913, + 997136156, + 131316170, + 837945065, + 777454145, + 955250471, + 206075619, + 979603247, + 602643111, + 500562628, + 8136657, + 362669890, + 221957051, + 492119150, + 306144364, + 30209899, + 372451582, + 856509579, + 981398285, + 11873727, + 129049984, + 974545956, + 767929296, + 475089603, + 971886003, + 511926360, + 666866138, + 855353642, + 329926176, + 219767328, + 828070180, + 422730265, + 538056525, + 711541834, + 755512747, + 979061006, + 181046924, + 322900187, + 631351012, + 600859123, + 922706132, + 798202824, + 995404606, + 310006911, + 113307031, + 974826372, + 399919881, + 20313367, + 33632615, + 741326540, + 59387850, + 432455066, + 288671896, + 97294062, + 952708180, + 206269297, + 154657796, + 231798498, + 983950362, + 416289491, + 902831039, + 615891540, + 736329339, + 276311493, + 582300027, + 724483915, + 481157662, + 158852983, + 865733829, + 28735187, + 401607252, + 940300393, + 787883183, + 835677038, + 228773236, + 634745171, + 269668947, + 780369317, + 870560943, + 419074246, + 71220731, + 768525566, + 891335333, + 214352838, + 276461321, + 691279459, + 616134541, + 504765210, + 465319606, + 381452371, + 820450842, + 643125613, + 440816707, + 373300518, + 564389399, + 218661447, + 837758997, + 222185815, + 148685957, + 335676136, + 418487888, + 709396918, + 673791031, + 469040997, + 393649286, + 832903243, + 258130257, + 973015684, + 13234322, + 811236120, + 938049459, + 945373125, + 979729847, + 762266503, + 996917742, + 964824262, + 903329751, + 529617363, + 747599218, + 990823627, + 798390823, + 353805927, + 606445627, + 584897498, + 387001101, + 902911576, + 851679362, + 948614433, + 698723252, + 242731621, + 378798416, + 182066888, + 371213400, + 999429233, + 810646541, + 687345911, + 358541628, + 787914706, + 727608893, + 475076882, + 522033594, + 13058470, + 699360716, + 865049020, + 561198955, + 648696344, + 693576436, + 799233467, + 912461047, + 709722394, + 639739299, + 856911528, + 923166831, + 615281606, + 845987592, + 740301524, + 447244682, + 309807842, + 260895942, + 777323689, + 411645852, + 105481718, + 492880528, + 56828371, + 984487423, + 939469865, + 109854138, + 462641880, + 302569297, + 753631886, + 357492955, + 791134853, + 974253624, + 919872955, + 390245348, + 833402767, + 607915465, + 419993766, + 869859578, + 255888493, + 645972826, + 614822923, + 861496743, + 453939774, + 652327063, + 636692058, + 26961949, + 393348929, + 577208754, + 570384349, + 915464008, + 555603908, + 688080143, + 739867290, + 278667745, + 852496861, + 340240289, + 274799760, + 834123553, + 676872267, + 873358572, + 747351498, + 542857304, + 877843704, + 646459977, + 316765278, + 13930173, + 634453191, + 776784081, + 515900594, + 513100554, + 391542313, + 277921695, + 830225473, + 785380638, + 271857327, + 70542421, + 842102462, + 532670509, + 818649580, + 751543355, + 121119619, + 161668041, + 67271312, + 11587448, + 746697016, + 5815704, + 921711072, + 455808595, + 611623731, + 75143801, + 747708738, + 359458004, + 289588999, + 300164818, + 7218314, + 576126946, + 355454873, + 134085123, + 568227460, + 266095195, + 895382647, + 759100076, + 186887897, + 503804915, + 698444275, + 1303338, + 452137144, + 946822488, + 956402565, + 888320654, + 971272546, + 463405661, + 985436841, + 316483605, + 483563761, + 999417010, + 409158569, + 298782710, + 270977266, + 942134475, + 934408220, + 517190036, + 468709465, + 333404333, + 403664744, + 47084799, + 36330309, + 106144999, + 266455191, + 626970100, + 853603880, + 720670490, + 111144959, + 892912098, + 233179826, + 951407546, + 484684930, + 816685322, + 14403859, + 120167585, + 100472012, + 901721526, + 905717422, + 497610121, + 245786690, + 971912593, + 595550001, + 619178743, + 651303552, + 414328581, + 532041263, + 94258691, + 652679665, + 86609560, + 271816928, + 768918537, + 506849117, + 883072504, + 159342653, + 738381828, + 807797342, + 65167708, + 579130706, + 92369748, + 194340084, + 446759947, + 154870070, + 588974633, + 198917824, + 884453032, + 911739598, + 905587893, + 27199943, + 83269458, + 209921886, + 526370086, + 195582269, + 576265621, + 579569864, + 813758183, + 688907048, + 883112835, + 679864341, + 818278955, + 58846261, + 614856158, + 847048235, + 619491944, + 466675950, + 78789834, + 133330722, + 85048607, + 412694965, + 308957872, + 916326502, + 249420990, + 27464433, + 96548839, + 52867228, + 482257041, + 25450655, + 221395468, + 331777688, + 691107656, + 256088944, + 713890515, + 651776348, + 101440838, + 566785316, + 777461547, + 228634008, + 695324295, + 970362837, + 272266352, + 776084922, + 368279583, + 306674439, + 393434752, + 315185721, + 714747355, + 449158848, + 997891749, + 575699223, + 182930309, + 313694453, + 797437133, + 292740822, + 95560805, + 489825763, + 259806195, + 529647674, + 747149176, + 957072515, + 930826218, + 679585112, + 674318242, + 761725325, + 398470022, + 108923066, + 45358222, + 257001088, + 488737298, + 241332224, + 593950965, + 438075066, + 535411989, + 518770077, + 337421363, + 690976482, + 317299601, + 229968987, + 531544099, + 477972526, + 342858643, + 90204496, + 319804246, + 161933161, + 363480956, + 631723618, + 735494831, + 500730910, + 725016895, + 237396589, + 52731275, + 613024988, + 394139220, + 69800914, + 333125088, + 74275999, + 776228724, + 933703839, + 895745222, + 666202886, + 333351230, + 515288710, + 260228570, + 613235948, + 784408227, + 920314402, + 198983555, + 883739329, + 118119155, + 1314806, + 655870883, + 170317759, + 71965625, + 29859368, + 980426024, + 25680078, + 17978464, + 107632410, + 750798799, + 434375292, + 979585387, + 167394995, + 219295896, + 441210394, + 598073505, + 629489128, + 503029683, + 872587973, + 10702330, + 798126599, + 921818727, + 979236600, + 941612281, + 710758608, + 924291445, + 976743214, + 89713257, + 265059590, + 981230401, + 843310683, + 520938987, + 291592371, + 904386679, + 319001396, + 113607103, + 725847323, + 589987618, + 794694413, + 734197838, + 167538740, + 64441325, + 613554745, + 177713860, + 926939769, + 21763073, + 557309378, + 199008331, + 254922143, + 225195101, + 421981080, + 498384076, + 774473617, + 331234859, + 865283235, + 934930609, + 905353017, + 963705139, + 651484089, + 210724854, + 423578566, + 695541503, + 17919456, + 545249524, + 65238734, + 765457386, + 327660920, + 792104583, + 646752630, + 357839751, + 12591903, + 226954702, + 768422548, + 58765345, + 956916646, + 726903987, + 211954004, + 906500141, + 106154614, + 54748039, + 414414390, + 75149149, + 972476262, + 989209927, + 330668258, + 843836362, + 320977684, + 748846096, + 44580453, + 190809275, + 978596989, + 308659624, + 275412907, + 147180938, + 547647937, + 14690205, + 806866898, + 359958094, + 56971225, + 241209220, + 112855212, + 937691826, + 538654852, + 525096766, + 620049389, + 782660260, + 720924466, + 44559752, + 714797745, + 165733089, + 546450930, + 549937395, + 986113491, + 544164994, + 839487137, + 627292386, + 367194578, + 746782920, + 348056578, + 588657227, + 786724684, + 303346008, + 226967049, + 134363643, + 524851289, + 465256257, + 391600851, + 271816188, + 415848525, + 211445857, + 346962517, + 21379632, + 347435685, + 486524888, + 751882964, + 937956734, + 368700789, + 131983127, + 287061992, + 603820209, + 645783901, + 644259818, + 670100040, + 99107159, + 872760311, + 660081346, + 667370232, + 790345479, + 306882574, + 641444723, + 82647803, + 302909309, + 79945067, + 84803397, + 968793904, + 607659918, + 492556144, + 14697269, + 964087087, + 479901140, + 921061463, + 506497985, + 466313742, + 939127174, + 814641983, + 644859558, + 657951941, + 302252831, + 236052260, + 75297976, + 579992712, + 216630676, + 479175455, + 227724935, + 734508726, + 269402372, + 132804373, + 843732932, + 672970359, + 740183346, + 819894740, + 792788794, + 272605491, + 172489088, + 978904410, + 124025700, + 764626958, + 771078826, + 930171120, + 791434755, + 905572640, + 784788972, + 944670367, + 857769900, + 839261637, + 9594810, + 21603400, + 505674287, + 880593418, + 154019928, + 521074491, + 882577849, + 456519813, + 564021901, + 393284413, + 897061608, + 830248440, + 848871373, + 583033859, + 910679957, + 791147321, + 661202118, + 339367669, + 936626914, + 59929433, + 341109252, + 157560603, + 435863277, + 577447333, + 362128643, + 864945983, + 62389073, + 756117584, + 116578963, + 181681040, + 283250950, + 693510016, + 467333107, + 575079923, + 456568635, + 16637679, + 868389577, + 463060698, + 774341709, + 890428627, + 639933602, + 208317379, + 927303711, + 183954074, + 363686409, + 722445291, + 990613859, + 623663050, + 842011954, + 218863088, + 835816007, + 715297021, + 415331564, + 789388359, + 157484509, + 485540153, + 242294939, + 849829400, + 650545651, + 710009614, + 915979997, + 151580704, + 550927066, + 298886974, + 268424250, + 369925581, + 613571583, + 499664023, + 177851543, + 52654554, + 533753285, + 959813892, + 979201252, + 777086219, + 551576833, + 208673905, + 503915585, + 353936619, + 889404925, + 272324092, + 389528009, + 999839191, + 130872116, + 709319892, + 720091222, + 353658467, + 778246500, + 402441242, + 774166153, + 736775515, + 743919106, + 982160236, + 491154165, + 506895893, + 303042686, + 943607163, + 373677820, + 587497446, + 988628839, + 227282748, + 397954754, + 15411863, + 294599943, + 480961678, + 910117201, + 904592286, + 562812227, + 552283067, + 399829815, + 574944305, + 968694116, + 965843832, + 438930486, + 5022343, + 622134929, + 76748049, + 289234571, + 836609726, + 490012629, + 329161652, + 402442218, + 419370560, + 633737295, + 521670862, + 169724533, + 433529267, + 438529052, + 106417334, + 985734045, + 114258302, + 481620854, + 166219356, + 371301632, + 615858922, + 933295830, + 880654542, + 253209112, + 881361464, + 625265286, + 39978427, + 50074429, + 455650705, + 702022074, + 984694110, + 417789802, + 289604331, + 932424707, + 241747896, + 141277632, + 70220177, + 220028656, + 545508748, + 596462002, + 744441721, + 134043637, + 195322384, + 25789241, + 122717981, + 940299381, + 68797754, + 152668259, + 537168582, + 728233051, + 582947482, + 430997905, + 876347615, + 783872679, + 900688430, + 686403473, + 561489812, + 261083602, + 627666963, + 360067110, + 571831207, + 855971387, + 188388797, + 483195833, + 755508928, + 828663106, + 471012789, + 630524989, + 427181794, + 721394201, + 209847638, + 427365252, + 503702343, + 409903443, + 298212081, + 855741865, + 655035223, + 25376517, + 528058808, + 238829521, + 795865551, + 181357024, + 400686450, + 459670441, + 923810071, + 485069576, + 751147503, + 306231269, + 708371113, + 395848307, + 415192636, + 155378765, + 920821998, + 727464757, + 147474184, + 316956777, + 170866426, + 475750867, + 446648156, + 492020672, + 800674799, + 808868103, + 364409530, + 3958306, + 40209234, + 701370673, + 243272041, + 796117332, + 270193136, + 357124494, + 235125490, + 719232973, + 965881857, + 539054508, + 236818300, + 347858877, + 895479324, + 184256136, + 988041309, + 708220281, + 810150827, + 74556832, + 6939617, + 534133939, + 124645090, + 694728504, + 65087308, + 465808815, + 632306117, + 679374238, + 856748840, + 129155688, + 684330629, + 989716346, + 291947844, + 358112382, + 698410832, + 477052622, + 292854700, + 909225836, + 760668181, + 74781137, + 116818899, + 490232069, + 941228501, + 632429247, + 744394, + 875448560, + 566145810, + 498758025, + 819964886, + 225393135, + 735342219, + 400555715, + 113323001, + 293237924, + 316772064, + 447563558, + 558932810, + 3564697, + 533368513, + 171790746, + 802073295, + 289427371, + 465765628, + 674261253, + 392922510, + 813842718, + 463625375, + 634729950, + 353043279, + 34962369, + 169243900, + 442727126, + 20373050, + 571677244, + 480462287, + 200599331, + 109675100, + 303623931, + 721862548, + 853784309, + 4944577, + 908560390, + 93320675, + 613369062, + 473647091, + 643671963, + 726017620, + 835622224, + 398190425, + 829661237, + 323183349, + 195625860, + 904370381, + 789057007, + 616104033, + 236716704, + 920610352, + 721841561, + 712525522, + 275092143, + 106962413, + 748490581, + 899509374, + 958972274, + 406645489, + 25052616, + 473566949, + 987155700, + 931655820, + 523649957, + 513212466, + 515950560, + 156447269, + 28039913, + 384141311, + 123829138, + 600887828, + 560782307, + 22521761, + 510980104, + 259179528, + 399167589, + 614648425, + 696929265, + 552834908, + 273838022, + 211669431, + 815817727, + 866551573, + 384124621, + 200703310, + 489704623, + 25068370, + 668235513, + 66961863, + 991085611, + 887680569, + 167144758, + 697311896, + 394610774, + 437419404, + 957994445, + 358944698, + 373042858, + 57888877, + 701340018, + 438154038, + 371149142, + 932365775, + 536060517, + 459232046, + 762597796, + 706952657, + 155243101, + 522378222, + 273245356, + 209992084, + 880048493, + 264330762, + 177849144, + 689318427, + 934012886, + 993864239, + 499807429, + 740397780, + 450750511, + 632216772, + 927771836, + 202940221, + 591817134, + 722388479, + 410196766, + 732073080, + 390225839, + 728967104, + 438403863, + 928231128, + 105480813, + 720316220, + 236562869, + 544055785, + 855818479, + 149351822, + 984887029, + 150670612, + 906133314, + 488738530, + 390296853, + 119336246, + 514623874, + 131943329, + 43690192, + 203360404, + 639113947, + 842272451, + 534965890, + 295759081, + 616480439, + 77866178, + 836786394, + 915754563, + 981802762, + 675768704, + 451534341, + 739295199, + 530905473, + 597794122, + 717950814, + 258732470, + 997231761, + 469133892, + 166328026, + 944491503, + 188762526, + 609447847, + 352132729, + 229717568, + 50933973, + 52107404, + 958895022, + 218752711, + 816758689, + 670653464, + 644181198, + 913228391, + 254703025, + 434939456, + 228100669, + 439175110, + 708116522, + 261391731, + 171136552, + 234530911, + 366467989, + 781924305, + 435647087, + 244213643, + 63267264, + 31182890, + 880897696, + 385314181, + 719670585, + 81492066, + 908462286, + 487802053, + 927103466, + 54505309, + 177085070, + 834823745, + 129352465, + 989013711, + 445956925, + 67370824, + 218440862, + 480616191, + 769162777, + 118639220, + 890916187, + 935750445, + 481737372, + 920077038, + 294698869, + 340130919, + 757580753, + 363912144, + 44550535, + 710447917, + 752911899, + 308464902, + 15700549, + 638002560, + 495935540, + 550044614, + 519258823, + 521152382, + 20324966, + 984783720, + 135293298, + 602170815, + 61420738, + 438325217, + 121474002, + 651356725, + 24127248, + 620011059, + 25312717, + 493272641, + 983592838, + 74557504, + 166134329, + 674693831, + 538423007, + 434482138, + 552562935, + 206016947, + 138071284, + 371965062, + 549566018, + 451140067, + 900989560, + 282719257, + 147398415, + 126729487, + 120236564, + 616682248, + 957243273, + 948759948, + 444256596, + 404902592, + 897860326, + 111318623, + 537865175, + 32750649, + 634111448, + 337406107, + 751299649, + 819691915, + 946985872, + 265367831, + 335041076, + 955732322, + 838399646, + 496113106, + 952002986, + 285740039, + 790711204, + 230585089, + 241288847, + 355448527, + 633000175, + 802541649, + 640093780, + 24167048, + 500482046, + 234458890, + 549515174, + 993937566, + 934446227, + 89188743, + 437857081, + 960518490, + 389456969, + 442718180, + 961459893, + 627386383, + 971024398, + 713327312, + 204100312, + 244239283, + 234190138, + 900377183, + 841120815, + 414853647, + 886947927, + 327915415, + 520874931, + 537768064, + 378724138, + 975452513, + 761247015, + 504875074, + 377911946, + 965421218, + 3597172, + 565263980, + 537549910, + 407354428, + 190388071, + 712269503, + 246353043, + 502172526, + 421925677, + 512747273, + 772314420, + 682103455, + 468097468, + 283060185, + 648346784, + 950168035, + 78384702, + 841127759, + 407692749, + 942767286, + 497855207, + 448835105, + 785583580, + 141266566, + 557765110, + 855224841, + 407384142, + 823116158, + 341599514, + 446405822, + 692074716, + 502405962, + 488605958, + 989163663, + 39428288, + 770272167, + 710153203, + 949272438, + 188756395, + 655724788, + 665025175, + 499976718, + 647830479, + 287492925, + 824948783, + 322837858, + 691005959, + 738456283, + 76231328, + 507486328, + 878875245, + 353934955, + 611748891, + 438955820, + 20344676, + 971958933, + 556348114, + 340725381, + 496845277, + 294559687, + 549563057, + 43942722, + 468526640, + 858217904, + 786885232, + 145848591, + 261269689, + 313228810, + 989409821, + 430075305, + 905869119, + 297832781, + 359364525, + 379445959, + 595696756, + 2726833, + 452026848, + 592914836, + 720360237, + 194308220, + 466199533, + 600076193, + 766694664, + 910366909, + 738121379, + 640195747, + 245597010, + 837280424, + 587520798, + 888942319, + 173502759, + 294746105, + 849782813, + 660192612, + 48578573, + 904827291, + 55085557, + 830144991, + 958920936, + 556497803, + 586509666, + 946149452, + 383633545, + 634031279, + 477406574, + 516734070, + 321834935, + 407565383, + 873020056, + 587992987, + 391621719, + 53320374, + 998811058, + 311345890, + 661240675, + 867110328, + 427974875, + 597132106, + 127394151, + 765815004, + 265110505, + 577192060, + 285153351, + 278071262, + 720568443, + 539431692, + 169076822, + 238215648, + 5740443, + 691837132, + 224527249, + 235569528, + 41001320, + 77377328, + 598688529, + 87713375, + 594345093, + 558394736, + 481718931, + 846880657, + 378559572, + 228887106, + 747695952, + 501187310, + 543035060, + 529143103, + 62397247, + 564697662, + 20730445, + 872787813, + 424627998, + 501072945, + 978349855, + 12833325, + 173158458, + 601579657, + 650316173, + 114784390, + 977536467, + 329119273, + 601258183, + 886617583, + 579320262, + 609499062, + 147310476, + 645023080, + 506180405, + 96760350, + 985688818, + 532916359, + 851826637, + 62274855, + 910759494, + 160748668, + 134048105, + 977738565, + 695727079, + 30548563, + 390162674, + 606788849, + 406069849, + 598940243, + 730228903, + 481297338, + 241549237, + 915985251, + 577612905, + 270360815, + 195567679, + 67170188, + 914533713, + 5456131, + 977573581, + 321639873, + 427348242, + 191596216, + 563982191, + 837524761, + 558081798, + 953252855, + 29027491, + 928173257, + 42992490, + 883817996, + 250513479, + 344333921, + 355774576, + 952424121, + 911423891, + 142221050, + 466870660, + 363927635, + 986778225, + 898883247, + 631158224, + 60082126, + 811347403, + 152529631, + 994786011, + 937691531, + 75861085, + 750357533, + 608901857, + 460771829, + 565057119, + 432570642, + 262872518, + 10452929, + 999752473, + 177869033, + 886100984, + 30663522, + 985468000, + 733295601, + 759210545, + 527001400, + 194079878, + 730859753, + 580583154, + 225247840, + 766801410, + 720221581, + 4072751, + 468256583, + 747025047, + 298565272, + 935422603, + 268669804, + 647612038, + 410838873, + 13516392, + 216386972, + 631567485, + 196120957, + 604042428, + 996116555, + 112813558, + 118151990, + 336710, + 759272980, + 961881335, + 124730586, + 681845778, + 167967264, + 611994261, + 912366543, + 212775663, + 607317630, + 186387888, + 10923832, + 874144781, + 468210691, + 375625472, + 188499871, + 581576249, + 769920666, + 84612058, + 925243996, + 675472295, + 117876212, + 895713389, + 330159047, + 308133840, + 579766125, + 85831607, + 501641346, + 896813213, + 160657167, + 139590170, + 678350882, + 133291121, + 733853112, + 414451096, + 995059960, + 893382609, + 189394922, + 256267826, + 526169776, + 446597846, + 438782695, + 253451589, + 574791815, + 718712556, + 511814195, + 168428443, + 323179978, + 666832649, + 214626074, + 354490576, + 130268154, + 589399796, + 715357110, + 682753662, + 75626490, + 856351079, + 229911278, + 796356384, + 261247558, + 367818390, + 731885525, + 751291694, + 691868831, + 319572739, + 735316807, + 877434840, + 138812504, + 35533768, + 515384542, + 887235991, + 502970914, + 360528188, + 160272198, + 461446063, + 347001621, + 624112443, + 35083895, + 433108775, + 692834177, + 816245874, + 216341000, + 28382785, + 737984920, + 620737656, + 394148746, + 718863078, + 576723877, + 862866106, + 731528691, + 400097419, + 220553715, + 827239768, + 781669201, + 323554380, + 861587256, + 354778100, + 137537716, + 228720444, + 249634478, + 840308266, + 45476595, + 619844297, + 599321858, + 642279310, + 646378008, + 687735047, + 992088191, + 181697420, + 330987892, + 222753197, + 125301344, + 399802088, + 345945142, + 131018401, + 222824179, + 418638153, + 147577682, + 47905080, + 992285378, + 564246134, + 108985672, + 284056804, + 417116769, + 850586089, + 770060146, + 433406648, + 438705091, + 860229778, + 669974017, + 85742378, + 857751676, + 18523296, + 664766901, + 297943566, + 849637043, + 962807000, + 979472127, + 703468989, + 851080753, + 476113249, + 243971369, + 690688322, + 777808421, + 301960214, + 115572116, + 747408907, + 722406108, + 850208604, + 606039383, + 330053923, + 703967495, + 428020135, + 985752246, + 774887180, + 717392934, + 278656334, + 229470446, + 791163106, + 612732073, + 138011880, + 315413086, + 846002968, + 455208289, + 541326271, + 417040254, + 362013400, + 577536744, + 253706480, + 966873188, + 379702951, + 996205416, + 627385760, + 542794793, + 667584290, + 754538437, + 854436351, + 975254079, + 142283019, + 100574540, + 624264867, + 31738104, + 457070578, + 667475270, + 494582229, + 356437103, + 325067913, + 760791434, + 244106293, + 919564974, + 194404691, + 50046265, + 96489370, + 829089796, + 373998751, + 12969404, + 606707597, + 853275659, + 870239786, + 826955395, + 443896757, + 585546180, + 378475198, + 733977225, + 518540753, + 917889187, + 9370279, + 514452136, + 326007834, + 187250430, + 348125898, + 718608089, + 571722957, + 821378585, + 361861733, + 475149544, + 331236168, + 787964266, + 927563304, + 688448074, + 53759865, + 129088187, + 904220414, + 309868897, + 482833389, + 437055898, + 834821434, + 354956736, + 679458694, + 527256301, + 966173999, + 423565759, + 501328355, + 674483039, + 855559115, + 549969944, + 643148227, + 118819534, + 916601744, + 426253736, + 938020567, + 216591235, + 884291550, + 65619928, + 365862701, + 977157042, + 839112138, + 756016511, + 343617485, + 859319468, + 574183795, + 553885439, + 231195067, + 13204058, + 477411580, + 170034361, + 95612755, + 76173611, + 987347040, + 543194069, + 911394337, + 408910208, + 44793880, + 911251151, + 566327505, + 964427343, + 224743517, + 382048904, + 986245046, + 991957518, + 482079118, + 730654567, + 573922023, + 934115451, + 544953326, + 360586088, + 1126811, + 974058558, + 539004387, + 525215261, + 845329572, + 18023599, + 300210461, + 750003980, + 853251337, + 909517530, + 111958144, + 334859959, + 234117275, + 614797019, + 234551185, + 551320300, + 85466095, + 203989952, + 918911369, + 137976140, + 481529708, + 696311130, + 966232044, + 72790881, + 280150123, + 261671612, + 51298762, + 465301380, + 576661383, + 749303328, + 559108747, + 708562549, + 47672985, + 916950319, + 355835182, + 450965966, + 185021208, + 260585624, + 434103250, + 964475799, + 931117746, + 555120091, + 470042740, + 347417589, + 933741507, + 593300864, + 125701168, + 470746022, + 753373722, + 944836698, + 215701784, + 938439610, + 459744818, + 826349595, + 622490439, + 554447595, + 485751300, + 131790475, + 390825819, + 849410640, + 577334156, + 395120842, + 70197602, + 631249282, + 766952728, + 997654164, + 192804214, + 401774451, + 363842000, + 744276951, + 94171074, + 438366636, + 272749477, + 38846124, + 446574883, + 356324719, + 461486787, + 233940657, + 222390934, + 143803705, + 10980942, + 549726942, + 909479785, + 182474114, + 974347838, + 633730901, + 587654762, + 988003282, + 480456598, + 55622329, + 143382007, + 265478654, + 821587026, + 256541060, + 675882970, + 27372001, + 26715510, + 600125717, + 703250994, + 953370352, + 46656027, + 463111214, + 608516332, + 652766552, + 11835667, + 310243567, + 218474343, + 659018138, + 598996186, + 323479685, + 284520226, + 878710928, + 423488620, + 74937952, + 790155916, + 597145410, + 442963428, + 984537001, + 127701340, + 52368130, + 852694434, + 903467135, + 165689694, + 992104607, + 594385012, + 119171394, + 216873805, + 617115132, + 842390781, + 149958427, + 138274235, + 681587061, + 665546174, + 836564362, + 609120171, + 986612050, + 626694609, + 619327540, + 828110418, + 396487217, + 227594842, + 181739026, + 843823945, + 599046142, + 681491704, + 743860347, + 57138292, + 919477927, + 949144669, + 319009342, + 551194247, + 225464746, + 578667131, + 523837154, + 477192631, + 418437386, + 69637003, + 916196834, + 443353777, + 298189381, + 698175615, + 36175982, + 536024231, + 145432579, + 429346451, + 760980955, + 450085805, + 984941589, + 156752776, + 591124425, + 799610279, + 340478180, + 994623944, + 647005900, + 191728321, + 843359670, + 161306004, + 690565492, + 971005720, + 116364887, + 744650636, + 412424248, + 903854628, + 671915958, + 418385906, + 299381003, + 314376368, + 605857635, + 770386362, + 343725942, + 896323759, + 971695231, + 60197474, + 678155694, + 82705310, + 29898208, + 280278100, + 22677175, + 531015239, + 145943025, + 160901236, + 75923088, + 270323053, + 258108882, + 748267356, + 446508534, + 171820302, + 891169654, + 880491220, + 921461385, + 791771127, + 493432684, + 487743458, + 83722855, + 405479700, + 570771185, + 11530161, + 397897055, + 177026757, + 518535556, + 298689693, + 800236368, + 89101988, + 395769527, + 638409810, + 992911378, + 706320109, + 785900169, + 651551191, + 370725312, + 923992644, + 447586697, + 270184793, + 805668140, + 944535092, + 53787002, + 575290574, + 805870483, + 340453164, + 474263504, + 680560784, + 117332378, + 741972373, + 234984965, + 367483386, + 303530368, + 581672093, + 585508815, + 318531106, + 14537308, + 157523565, + 547637378, + 765747416, + 430658802, + 23341923, + 323781067, + 863630319, + 451830580, + 146017369, + 374315606, + 92943701, + 736153614, + 395015407, + 556934150, + 945271940, + 293870471, + 755646217, + 391595272, + 206279495, + 922168060, + 111445859, + 817624539, + 409636053, + 494433798, + 302464360, + 327818083, + 215138055, + 472878864, + 806017704, + 450269044, + 983791480, + 624244433, + 314906243, + 798618751, + 624497407, + 704632096, + 192246452, + 367377206, + 716198936, + 271529747, + 663989441, + 92439241, + 672933319, + 608933959, + 374299069, + 991678693, + 926317900, + 965533587, + 207598680, + 418253901, + 538236740, + 668235038, + 504378091, + 736171529, + 653017103, + 63379366, + 154006885, + 609050190, + 468560458, + 891252233, + 371729888, + 428083002, + 698755701, + 487114773, + 142230275, + 752513267, + 363884915, + 180151625, + 859202502, + 969688535, + 686566351, + 684018812, + 24483476, + 28646075, + 952556254, + 881593840, + 710200122, + 954543371, + 787015339, + 27454053, + 206617704, + 880976708, + 900996968, + 97663371, + 447842664, + 904058052, + 710909966, + 175922232, + 316174703, + 633645595, + 589930024, + 863143554, + 344386226, + 47901130, + 943900175, + 343624862, + 896034301, + 762183646, + 38494376, + 445160143, + 32325533, + 74386520, + 40749150, + 845739031, + 426696252, + 675932537, + 322632569, + 255037707, + 52639097, + 497996902, + 396144155, + 44155123, + 64636113, + 180461689, + 283381780, + 925963686, + 154418343, + 818307263, + 600314640, + 718610567, + 60094177, + 260310866, + 837581056, + 25310401, + 332785862, + 29009643, + 695496907, + 827538757, + 857177979, + 258373837, + 123289899, + 35442979, + 197604701, + 989184015, + 109023337, + 507139572, + 685580374, + 297659784, + 679350766, + 124503585, + 340586112, + 710606342, + 532952316, + 626278108, + 639450768, + 937342098, + 561907859, + 216884717, + 85377019, + 91314093, + 772771211, + 320208447, + 848211720, + 474744040, + 321068667, + 360306752, + 795473429, + 905689757, + 48499098, + 440603852, + 257393865, + 207363949, + 417693413, + 186066481, + 294619043, + 949909882, + 760607143, + 894853675, + 309565188, + 757276800, + 352746162, + 317691185, + 424790180, + 356815555, + 418968877, + 801808837, + 584776380, + 458375331, + 884922990, + 424640202, + 955661579, + 221605235, + 385246648, + 259124235, + 370734110, + 809581661, + 733837774, + 850415773, + 542071171, + 762888903, + 808491492, + 804153283, + 638528500, + 583694002, + 156202758, + 321605925, + 366974652, + 484084075, + 142506762, + 484078523, + 984225954, + 440289727, + 468411889, + 381351054, + 730787514, + 507343788, + 944617893, + 497131475, + 214969549, + 944375119, + 286962000, + 648890985, + 567584679, + 264257611, + 799265938, + 346974698, + 355714931, + 332783871, + 150129267, + 931064848, + 28746249, + 710880098, + 786298409, + 505453097, + 297621349, + 996826022, + 576410881, + 384912784, + 626017127, + 365108843, + 115983757, + 478380973, + 170932813, + 102702704, + 624594366, + 590748261, + 196501028, + 625748603, + 122706292, + 248009455, + 976624572, + 105844655, + 157033705, + 791997912, + 242986345, + 908036429, + 143385746, + 669025552, + 811662888, + 38689137, + 448845805, + 848984038, + 790755775, + 716540089, + 156225983, + 495250665, + 656896957, + 150071397, + 212796205, + 134618234, + 670984747, + 461414326, + 188127693, + 281947246, + 79474859, + 854442434, + 923683154, + 479200562, + 752561322, + 318312295, + 546145500, + 445250614, + 884822009, + 535310568, + 196636960, + 483994347, + 216856527, + 404662388, + 250514201, + 461507594, + 688427256, + 864600290, + 150826721, + 317812586, + 612073850, + 307534248, + 800188057, + 910852100, + 25166200, + 375623581, + 54963900, + 181621151, + 894507683, + 877503424, + 89078210, + 738870182, + 659871227, + 744090903, + 816405507, + 306504776, + 262983664, + 220862229, + 432824486, + 338653627, + 996940193, + 600822915, + 78653676, + 966471475, + 357273878, + 533539110, + 450125235, + 564252309, + 326782933, + 833960591, + 396711730, + 979790595, + 673714765, + 955787736, + 893599453, + 882144702, + 381913228, + 62494403, + 701060504, + 774985287, + 108067428, + 340562457, + 483570047, + 470426731, + 544930870, + 469766347, + 264300198, + 926178936, + 592743103, + 53767873, + 475693550, + 844731794, + 96186106, + 418364147, + 561244863, + 221114620, + 700029857, + 850572359, + 507132091, + 216001369, + 326949206, + 741590143, + 737395859, + 346306084, + 743404158, + 709661022, + 124449377, + 240072742, + 181900604, + 170158954, + 142382314, + 815466814, + 99764061, + 230767720, + 981939635, + 849999291, + 764405609, + 272892170, + 934120779, + 617100485, + 864988761, + 815236854, + 383935340, + 815465816, + 649809881, + 526859761, + 38941741, + 11162526, + 213680804, + 685250266, + 831439228, + 879011090, + 571551965, + 785137090, + 784933207, + 347529863, + 683705176, + 420369270, + 563854103, + 450967064, + 638801778, + 821673117, + 283759424, + 26924407, + 77905568, + 848905132, + 112553358, + 22518699, + 460615564, + 428219937, + 649473223, + 136723827, + 855270355, + 482508303, + 16207639, + 568533375, + 39866568, + 985579852, + 33770912, + 814732097, + 62754593, + 653547925, + 937482700, + 259706381, + 167079987, + 215150094, + 56518700, + 178868040, + 668946046, + 985034588, + 333834605, + 36055608, + 32556886, + 398130822, + 313873187, + 252279703, + 416824326, + 215684622, + 402223565, + 58311376, + 371412509, + 555745970, + 212606872, + 847842000, + 137746428, + 304532289, + 776827343, + 911408130, + 137708874, + 743143024, + 198296870, + 224721880, + 911877954, + 569974391, + 723570980, + 929641011, + 292353949, + 397026671, + 170838961, + 913855480, + 670290062, + 381099506, + 869497753, + 846911003, + 390139807, + 142104158, + 614859931, + 173248001, + 241207734, + 435360388, + 556666383, + 118667880, + 255117145, + 81092036, + 781655388, + 813099897, + 431076125, + 76716286, + 676884499, + 656228120, + 393270378, + 321975561, + 270713407, + 662818150, + 480272941, + 169253688, + 934098038, + 488503951, + 1258627, + 128480479, + 606522008, + 831867100, + 134152583, + 978177819, + 87172043, + 627282697, + 786650093, + 375982630, + 288295884, + 155109851, + 762352950, + 445870914, + 697002011, + 738212640, + 499269483, + 826486081, + 23867964, + 666661404, + 138017928, + 404455132, + 405549151, + 798798167, + 721231319, + 59032946, + 285933821, + 922679632, + 329837171, + 304503386, + 481755327, + 774779262, + 669046792, + 117015298, + 541262643, + 596409418, + 246786975, + 275466183, + 702236833, + 369300903, + 945482010, + 429144841, + 846322698, + 243978312, + 792312407, + 401292408, + 971084162, + 271424910, + 961206693, + 483013145, + 505673149, + 243530000, + 789795071, + 636513810, + 804283748, + 640991869, + 923917263, + 434973231, + 393197576, + 539569220, + 442190812, + 306055655, + 154119330, + 40852481, + 484851141, + 679303558, + 713137641, + 598685517, + 255073719, + 195035006, + 706444901, + 670743411, + 12588112, + 187906693, + 261264634, + 595146731, + 868078413, + 815176688, + 76513761, + 574838786, + 930437341, + 243256460, + 376653500, + 932878848, + 450624164, + 667176137, + 952570439, + 861825040, + 841432007, + 870737199, + 273713888, + 689463567, + 911461424, + 577671470, + 344939184, + 312028484, + 130950357, + 861091348, + 897311486, + 491334435, + 483999686, + 71873433, + 308329059, + 491936390, + 805735404, + 606991518, + 304757977, + 968143805, + 9418007, + 693718288, + 388659747, + 365290662, + 74778825, + 476559804, + 341918501, + 192770602, + 492924500, + 984982690, + 256134487, + 999237046, + 536444074, + 110505706, + 390985346, + 632676378, + 314403287, + 546469361, + 55029514, + 220966899, + 763610009, + 119275949, + 94597302, + 624815903, + 569098357, + 464388828, + 211550335, + 967684527, + 333255860, + 596218321, + 829746733, + 893935774, + 135733069, + 444224814, + 125040302, + 950388202, + 906736360, + 495242671, + 596018588, + 786121052, + 773388734, + 83658976, + 499895329, + 395862373, + 248886819, + 461414772, + 168685266, + 328908162, + 488521550, + 572377703, + 381463565, + 768685446, + 810312101, + 629418425, + 179921848, + 80723656, + 77129408, + 619966785, + 62645920, + 924451815, + 795378085, + 863319385, + 411272486, + 526591426, + 357379185, + 162535868, + 691072356, + 316903018, + 758440888, + 897804876, + 946248935, + 135856097, + 332100918, + 567987462, + 494216775, + 876182539, + 228327938, + 973468236, + 14657211, + 595181696, + 316908557, + 809942827, + 188055567, + 241062387, + 689085018, + 568884400, + 129459038, + 459663139, + 518322002, + 454581595, + 568246653, + 583585915, + 402368319, + 984248032, + 67201333, + 491701349, + 984257581, + 349280248, + 305259956, + 143949216, + 770118898, + 969228546, + 724337308, + 240912492, + 209895783, + 344314680, + 40938072, + 615673292, + 133171812, + 546045234, + 750163875, + 598145662, + 73706511, + 694188674, + 143101156, + 826829041, + 466409016, + 189595204, + 970269120, + 567037830, + 83897120, + 268298223, + 366201015, + 823655146, + 760980960, + 201393427, + 169291890, + 754004906, + 128881971, + 816624344, + 940900864, + 870402153, + 185272258, + 160552854, + 454673468, + 590524618, + 413661754, + 849999731, + 348926886, + 363950480, + 898309673, + 989368836, + 78936563, + 925624810, + 934819235, + 813904691, + 896645443, + 996823509, + 772667734, + 221835841, + 587860356, + 887701003, + 384272483, + 571187617, + 314085435, + 369900501, + 243336322, + 217223240, + 355450268, + 900064041, + 116935503, + 297019746, + 228259081, + 110179657, + 309460819, + 340004089, + 978122501, + 602362029, + 645948193, + 116474987, + 98523430, + 583937701, + 158642314, + 786571882, + 100821232, + 848776645, + 105080643, + 918028466, + 823961920, + 264530355, + 686600098, + 400943775, + 938248615, + 447431535, + 547694840, + 27211026, + 960615761, + 681380917, + 181601095, + 154803678, + 894019126, + 655665065, + 943618893, + 962321621, + 564777430, + 255935481, + 585160591, + 49446091, + 429986631, + 7106256, + 379032718, + 815370129, + 442223223, + 810599818, + 829518073, + 500846988, + 904950161, + 908378067, + 609972622, + 815483780, + 496063040, + 900496505, + 27992381, + 306965622, + 553043406, + 724079957, + 199739566, + 920495465, + 528864076, + 167714032, + 659610856, + 482707531, + 779869875, + 973999201, + 106218166, + 187880277, + 61556202, + 13349351, + 136133915, + 473402042, + 924039206, + 848181009, + 832525174, + 497839158, + 962341577, + 406750703, + 578609610, + 549024155, + 679999082, + 791433315, + 663560670, + 470454086, + 480471081, + 527765202, + 484163529, + 621698988, + 975124162, + 150379744, + 822867511, + 498365207, + 55932698, + 179850069, + 651178289, + 300465853, + 506084658, + 586394336, + 370894762, + 808127850, + 851193142, + 763351272, + 127505893, + 12517271, + 558794633, + 773822516, + 654129253, + 745196755, + 902128261, + 98627727, + 513811269, + 651131516, + 289004500, + 648497004, + 539140849, + 340811579, + 554316021, + 490623072, + 753528271, + 540352790, + 693212732, + 863715412, + 539231801, + 12956480, + 949628409, + 991024402, + 407890132, + 883145154, + 973348979, + 52895610, + 59641920, + 672042215, + 451899623, + 169334973, + 593601810, + 820064742, + 881623129, + 998777953, + 569012647, + 298991358, + 183764972, + 290605336, + 23678256, + 414911685, + 947221827, + 22307553, + 135925152, + 974459464, + 795578744, + 45429430, + 962135099, + 822576021, + 386358894, + 735168031, + 302606911, + 113122226, + 208912544, + 691085970, + 767085831, + 982196631, + 115786866, + 463331198, + 866345267, + 802601220, + 624534227, + 985048007, + 637132404, + 50829904, + 253964941, + 381380167, + 508802121, + 358921261, + 667956862, + 236594876, + 662684379, + 111566795, + 539629398, + 84657973, + 370005337, + 239401006, + 667891187, + 865003018, + 990533400, + 501438887, + 405091991, + 625616534, + 612545710, + 773105562, + 679072139, + 793214063, + 438834397, + 882244800, + 122719009, + 186291502, + 731177761, + 440776721, + 614840267, + 510005329, + 640231152, + 499239661, + 971596585, + 200089786, + 874711218, + 780167101, + 230847521, + 453048368, + 234876263, + 566183479, + 905281860, + 50535289, + 779760842, + 756622801, + 11861897, + 24203685, + 761064321, + 152182601, + 295573477, + 311871089, + 19388530, + 95246339, + 897595566, + 966973066, + 860498267, + 940333730, + 959980821, + 245810455, + 663585717, + 741392096, + 631256873, + 591444899, + 674791824, + 701615484, + 654137077, + 820508309, + 474187501, + 94601642, + 175367460, + 352475832, + 70813243, + 763614412, + 62632914, + 407861042, + 625689595, + 176711261, + 144744079, + 18501107, + 430436800, + 191539830, + 493289027, + 908953662, + 893856498, + 611951445, + 211754734, + 954252396, + 957365849, + 830384003, + 259233512, + 455682250, + 183812518, + 284004972, + 975130500, + 234353378, + 168653457, + 247093864, + 770175284, + 630384846, + 767353520, + 21117691, + 796379953, + 713810572, + 631816127, + 822028086, + 568857258, + 313877017, + 875687817, + 627083679, + 516159962, + 717935151, + 52563741, + 266095254, + 330524193, + 670799145, + 394171092, + 402572073, + 734864751, + 798942254, + 294060388, + 748816178, + 214274513, + 220858698, + 205850837, + 513718631, + 519214960, + 936553373, + 811314221, + 440553089, + 82405590, + 601318004, + 634130851, + 960377456, + 624362166, + 619068451, + 405927380, + 194587343, + 783466395, + 734161941, + 531730089, + 289237911, + 889477943, + 342845015, + 594622957, + 400185460, + 255725874, + 149524192, + 191887966, + 83806972, + 949853376, + 552348603, + 982047103, + 940996450, + 385600935, + 730478848, + 864525586, + 775605489, + 202137592, + 812944592, + 866887016, + 458832007, + 571813626, + 295856471, + 453930200, + 406651878, + 308997113, + 468386750, + 437982160, + 54945833, + 524890516, + 944532781, + 808507055, + 15963636, + 578405473, + 481883215, + 179392871, + 464135894, + 596319762, + 249661645, + 350139982, + 63487953, + 778200526, + 619642320, + 2226483, + 60725891, + 312686723, + 872340599, + 781997706, + 243203695, + 852552321, + 410471908, + 703292247, + 672850009, + 372731254, + 466201161, + 265545508, + 44247586, + 170814873, + 11631951, + 123009807, + 318889397, + 195627144, + 292547811, + 671775203, + 277727479, + 179326987, + 440493628, + 129426096, + 121634017, + 3306539, + 27011000, + 900450520, + 473033743, + 582470505, + 276836809, + 778685284, + 797572125, + 378541893, + 131068581, + 819123665, + 76788598, + 981821629, + 888831752, + 952466774, + 22380426, + 449999927, + 477067092, + 709999035, + 220976801, + 515661141, + 36535452, + 390257907, + 618639687, + 437561512, + 388014836, + 211990799, + 100798049, + 601586903, + 487756422, + 700506398, + 773065432, + 308475164, + 820054734, + 857273013, + 351968330, + 162690949, + 638817732, + 702704880, + 776543614, + 978295334, + 861746072, + 305884329, + 564529890, + 624471795, + 872044194, + 909097819, + 229201953, + 607909023, + 700267844, + 430263257, + 558203554, + 784386595, + 537667863, + 414725684, + 355204731, + 536941919, + 254521514, + 579064247, + 636917144, + 892376568, + 812932701, + 144684894, + 227883929, + 99209098, + 840626330, + 63958400, + 183154609, + 638236184, + 342703948, + 604969705, + 825924498, + 799999691, + 176042291, + 123374437, + 649149920, + 719658364, + 11596502, + 820356928, + 762960489, + 863293368, + 216001657, + 993638104, + 930527485, + 881911904, + 176446374, + 414157785, + 540550308, + 364058844, + 303358518, + 383239444, + 359502408, + 348858095, + 439638486, + 924375827, + 745210188, + 875663067, + 377683061, + 5294414, + 511253455, + 771714698, + 601038041, + 237730914, + 910597773, + 96901821, + 944616135, + 441421419, + 459800523, + 156854785, + 520373741, + 409541936, + 341799565, + 194494165, + 580900994, + 426608837, + 442749257, + 245054494, + 65912420, + 529913774, + 689073379, + 71140048, + 434702682, + 617412843, + 801515353, + 18503872, + 996406112, + 138294580, + 646572925, + 309478279, + 756359080, + 848909592, + 6242677, + 6058112, + 354052116, + 283260626, + 675928939, + 482326094, + 751887326, + 291522809, + 336569630, + 588763530, + 16318540, + 349263379, + 140248930, + 769899886, + 222705128, + 392571115, + 6613716, + 487997739, + 510080009, + 523802447, + 434449601, + 433308260, + 748413197, + 165451039, + 614037753, + 22044296, + 13124429, + 44424024, + 225934121, + 241502933, + 34969730, + 628988593, + 648027131, + 406329057, + 129819061, + 776404991, + 839595412, + 774340477, + 827131663, + 203321846, + 623519542, + 718354708, + 425719083, + 675000981, + 470049478, + 420098832, + 716498519, + 974120492, + 950086442, + 344086548, + 105283892, + 596115563, + 186685678, + 220801903, + 215467372, + 804636910, + 675053405, + 734412990, + 285787711, + 676625417, + 624270543, + 784592333, + 563049720, + 359301868, + 294696990, + 788864324, + 376299094, + 249470861, + 752486027, + 857567021, + 819813894, + 855061790, + 273802879, + 21337309, + 35956915, + 319937763, + 340702214, + 847824000, + 984408446, + 681388086, + 325626564, + 980865196, + 30688604, + 13933104, + 695838757, + 748951804, + 274271761, + 434969835, + 195142749, + 328352453, + 903810981, + 905734835, + 408689688, + 452332745, + 616869391, + 278932662, + 19746523, + 245626623, + 916191578, + 610725432, + 407647225, + 327870548, + 292258240, + 800787539, + 426389162, + 508878136, + 855759122, + 882465458, + 522788873, + 911067857, + 382404903, + 146921439, + 931745648, + 548527625, + 335056583, + 343592265, + 593068068, + 185162012, + 905294370, + 720959487, + 373574171, + 391759693, + 135438128, + 478758116, + 736205643, + 427319510, + 624601551, + 408053646, + 473856335, + 636417576, + 568015134, + 573533821, + 704614390, + 535608265, + 687493801, + 722433562, + 444785132, + 212977319, + 469686101, + 899821418, + 591655951, + 908272982, + 895328534, + 521157364, + 271802614, + 413128292, + 696426607, + 314209058, + 916358914, + 459183286, + 3763841, + 401565765, + 817722715, + 527893262, + 766990589, + 287562157, + 63471639, + 469727490, + 223595688, + 221397526, + 723893863, + 182667092, + 833994030, + 251737602, + 538352327, + 72007591, + 389258013, + 458832958, + 917081935, + 192299626, + 985793532, + 595224812, + 497994539, + 716620840, + 119465678, + 770434688, + 468684571, + 971619081, + 921267602, + 866345905, + 622052953, + 796275893, + 556975492, + 948730090, + 994704270, + 5451, + 21388367, + 819743463, + 49886540, + 880287725, + 445486866, + 420457915, + 358686860, + 335962831, + 32016978, + 126124913, + 616868112, + 430397271, + 85457687, + 458697312, + 909466961, + 901025110, + 403368718, + 42309129, + 20935675, + 520489137, + 749392194, + 265208254, + 943491259, + 460347429, + 111349522, + 435525859, + 835698795, + 838678305, + 662253362, + 851635812, + 313446573, + 385408848, + 285450857, + 794964187, + 123606917, + 888489122, + 266722620, + 227980392, + 900639352, + 867157889, + 460355312, + 779236460, + 116034433, + 226862175, + 453827948, + 751845844, + 863787112, + 759674565, + 133500353, + 701806781, + 95732238, + 395221784, + 472395140, + 942810533, + 359308128, + 681916606, + 489835133, + 572574738, + 639437466, + 308219514, + 636468236, + 637432850, + 212774190, + 14225556, + 554559786, + 101203409, + 285584537, + 587719332, + 580791024, + 437549755, + 18560448, + 246309499, + 852648045, + 415826751, + 190292077, + 456201517, + 849768139, + 317265747, + 40698751, + 110438327, + 778170729, + 887345958, + 392263227, + 871926122, + 148645276, + 247758792, + 418201112, + 530529080, + 284421082, + 338256742, + 233523990, + 760608831, + 393752530, + 66577273, + 635502856, + 209013504, + 628290915, + 841460280, + 650198253, + 708658128, + 57548810, + 663422283, + 421158175, + 787825730, + 544092553, + 566496723, + 972658499, + 719126557, + 678462458, + 488913294, + 423559686, + 659887179, + 63758187, + 696944024, + 191789154, + 966417183, + 88900791, + 242819335, + 856397152, + 37671727, + 636957520, + 586003864, + 17711885, + 355588648, + 837928707, + 492214325, + 649786124, + 235696476, + 419852001, + 105901323, + 441618874, + 607401639, + 871729664, + 322824259, + 760191644, + 369981363, + 20308240, + 132260411, + 584535042, + 997631648, + 537758384, + 643154628, + 671324108, + 714633250, + 96881698, + 311836526, + 529741248, + 271078229, + 726177571, + 516092424, + 913131674, + 145767047, + 931704124, + 506268524, + 934884211, + 308999088, + 451175704, + 177837244, + 376714224, + 692667537, + 877505787, + 536048799, + 674311877, + 670255696, + 78863716, + 973053581, + 351397648, + 618415064, + 769978106, + 578808313, + 410047568, + 826973812, + 741140107, + 945544631, + 967144167, + 705512422, + 412539541, + 631816344, + 13844949, + 551987707, + 31649700, + 266623046, + 589591912, + 67312836, + 522679599, + 994037853, + 891093250, + 801875595, + 408874898, + 249908869, + 199855115, + 182326585, + 65447873, + 43304958, + 688696896, + 852918975, + 29457803, + 620460629, + 524543090, + 902871048, + 894723295, + 48946669, + 894453545, + 672648358, + 493755809, + 26925784, + 337860831, + 651550049, + 864358503, + 239953127, + 378674989, + 938426050, + 964218306, + 786636101, + 387950075, + 348591827, + 195780946, + 309513983, + 162505385, + 299479918, + 743170838, + 616089840, + 4629427, + 663860635, + 206530808, + 493301743, + 520795695, + 715743635, + 60275444, + 133771952, + 435257607, + 577350815, + 31878755, + 626235565, + 531821073, + 621369130, + 14918810, + 877955897, + 52285829, + 482111654, + 758264312, + 71774503, + 328929479, + 240495491, + 991443151, + 364344769, + 661029631, + 965175067, + 733134538, + 509429937, + 547442825, + 55316833, + 180594550, + 174236013, + 946248485, + 688141629, + 262165411, + 361681900, + 867576061, + 344494307, + 486925798, + 197960815, + 763734584, + 233457619, + 756845246, + 536507183, + 134767853, + 520023243, + 5249600, + 695609618, + 587586955, + 641856055, + 262461253, + 998747739, + 63796461, + 579061142, + 448693490, + 470335259, + 975376281, + 62348590, + 502327478, + 887934180, + 277671390, + 55700527, + 517978804, + 476086966, + 810025466, + 416579848, + 996310124, + 878340297, + 806890814, + 474999700, + 163720512, + 921776889, + 569389806, + 266993258, + 426378326, + 468843207, + 167423822, + 13192155, + 945921477, + 561759084, + 959360940, + 803494373, + 641873434, + 789361714, + 292208344, + 150778150, + 211846432, + 386398977, + 527431167, + 342981484, + 637994856, + 232734734, + 828909293, + 396563953, + 929843649, + 873878600, + 686619520, + 633354005, + 860508589, + 530776987, + 842826107, + 159359460, + 413364371, + 318455385, + 148746792, + 55872321, + 942871817, + 680846182, + 777277300, + 109211618, + 203995057, + 328386045, + 442612418, + 583611321, + 968024278, + 202711464, + 884741285, + 262729553, + 299935539, + 257873823, + 315011121, + 773295512, + 390118152, + 835569614, + 444735955, + 474385653, + 171559653, + 540740507, + 680815301, + 799554360, + 714406280, + 851106452, + 150861644, + 525158085, + 588040640, + 24934673, + 836673444, + 146869215, + 751813480, + 718111045, + 819176737, + 82429331, + 899305849, + 783473191, + 607914842, + 828653209, + 753161537, + 320453453, + 806249442, + 412425784, + 126419306, + 793479317, + 111229187, + 446941232, + 654230069, + 806519288, + 579689509, + 136060595, + 537716062, + 894991678, + 816359418, + 236327769, + 829332165, + 988513605, + 188038387, + 722736465, + 760310456, + 646522094, + 503869805, + 417828525, + 647778053, + 718271697, + 645559641, + 250347753, + 377952061, + 956691227, + 110529428, + 932442436, + 588214112, + 803759511, + 378802832, + 313095237, + 634600506, + 315411254, + 368456851, + 99191823, + 915323601, + 535083664, + 471984372, + 107854429, + 59545779, + 98822874, + 347855344, + 618595812, + 39633383, + 65364126, + 920820997, + 665434078, + 583471067, + 266939431, + 754755880, + 930486360, + 179891126, + 866722375, + 393036292, + 697797824, + 451835480, + 132745311, + 219180184, + 774697413, + 604738078, + 913243668, + 134444546, + 306432694, + 299695949, + 76455921, + 840022333, + 800823782, + 322911385, + 897145029, + 409389269, + 412013884, + 699818132, + 416905145, + 55432185, + 530201486, + 729868853, + 758735932, + 977766150, + 449167461, + 644725534, + 880707652, + 83816225, + 962742923, + 810384611, + 461730774, + 308536951, + 137737846, + 916370973, + 508346837, + 7947347, + 712687865, + 431943768, + 48253826, + 188760312, + 354208703, + 442260764, + 115340459, + 685291907, + 894383482, + 449664371, + 563563259, + 434625241, + 129924932, + 807202670, + 830631477, + 239302116, + 704785707, + 926382657, + 286985399, + 172583754, + 56278402, + 245125556, + 434053777, + 214543439, + 850737750, + 180354992, + 691660390, + 948983610, + 842695555, + 943462401, + 188610217, + 101727230, + 751135106, + 419645905, + 974514677, + 704650815, + 871648690, + 596391672, + 713646182, + 866949509, + 18032943, + 647539255, + 196784932, + 967529101, + 575237605, + 379973862, + 962537720, + 91408338, + 867608392, + 285229690, + 433222992, + 34035841, + 166206918, + 121673190, + 618585856, + 738325109, + 204590783, + 84995179, + 956118351, + 601706981, + 736492663, + 246987772, + 204477313, + 684410600, + 534391142, + 23992846, + 828851467, + 761908263, + 609245082, + 332174365, + 58205600, + 243738682, + 844148981, + 70931597, + 836772188, + 568617181, + 289758840, + 852248999, + 919324245, + 294594769, + 235158028, + 458114155, + 857537513, + 634314292, + 949379362, + 711380407, + 134667184, + 231049763, + 626738661, + 536813610, + 766046157, + 139044278, + 693210396, + 140747965, + 791823960, + 649761013, + 138316888, + 962481002, + 330906265, + 588730838, + 895544205, + 972585975, + 460578729, + 628058488, + 875361941, + 446333527, + 523074082, + 479446775, + 919540190, + 197278994, + 797664533, + 251523082, + 794799353, + 995751194, + 563747359, + 462607106, + 758141902, + 459995607, + 105759109, + 729814263, + 218393614, + 587337002, + 18753197, + 453329204, + 523402909, + 562866933, + 800281797, + 28235147, + 582705938, + 273586723, + 33214029, + 779254855, + 609881579, + 822359657, + 48110023, + 924890799, + 454319290, + 578927783, + 912660594, + 432111684, + 393361063, + 536825639, + 236088344, + 402639872, + 656757773, + 701905597, + 700411738, + 778891135, + 223704817, + 953997944, + 957796838, + 167681283, + 52184291, + 551303620, + 466139233, + 886171651, + 739445628, + 846610333, + 119131626, + 418385351, + 974084249, + 597064585, + 973171232, + 671977545, + 594481980, + 530970173, + 114822117, + 23953329, + 416533850, + 485670485, + 629683595, + 637494942, + 628839211, + 62995842, + 202862925, + 923695254, + 752412479, + 228218578, + 74656354, + 485207305, + 962067457, + 592178223, + 440832620, + 231393669, + 788268414, + 331093441, + 473747184, + 838980904, + 680197394, + 454493715, + 717945255, + 811312090, + 714618831, + 12441799, + 776405525, + 367132019, + 85616229, + 701327735, + 206445471, + 460120832, + 336410113, + 624136494, + 276137526, + 254338617, + 318189595, + 638984924, + 589763919, + 448746083, + 403027243, + 205007848, + 300311654, + 528512358, + 182918960, + 331923866, + 52811545, + 370823591, + 180797898, + 235374396, + 296899525, + 405023233, + 720309995, + 369420783, + 338076867, + 649483558, + 434452240, + 93797246, + 407833263, + 141601401, + 695069683, + 672481258, + 868836875, + 825191114, + 473571925, + 169601259, + 307304096, + 484065982, + 555529522, + 773366895, + 261952094, + 646005111, + 218299921, + 654732982, + 283110652, + 392977452, + 873544141, + 915467830, + 398960008, + 57595329, + 153544604, + 128229562, + 977159567, + 901514162, + 928101, + 596555770, + 136685921, + 785731998, + 610623121, + 876643524, + 450230891, + 691265603, + 298603026, + 560095829, + 610754534, + 258504340, + 529262820, + 981436596, + 403302860, + 220312179, + 115493058, + 925724461, + 666597995, + 958308977, + 941870864, + 491431304, + 739811549, + 814287061, + 366209055, + 916689745, + 984169801, + 758183710, + 969846268, + 102518935, + 340415256, + 644204350, + 120734877, + 854036415, + 864386148, + 122548795, + 284757531, + 744098878, + 339087330, + 746681854, + 27144416, + 136575169, + 353567340, + 78910736, + 386113338, + 191281693, + 672060236, + 51108535, + 206713464, + 806080566, + 904623365, + 253557284, + 838667880, + 264379242, + 53491285, + 136322583, + 604542930, + 554489095, + 341506024, + 241850919, + 513214370, + 117242843, + 220133445, + 101932629, + 275827536, + 786668882, + 648815061, + 138918912, + 563634251, + 231435046, + 429235034, + 88612452, + 33710291, + 636786940, + 917541222, + 780636653, + 20600889, + 949098017, + 102517723, + 818409257, + 780195268, + 788024980, + 415139947, + 352553828, + 690841871, + 846814366, + 974641934, + 691129629, + 63590820, + 291237246, + 61071557, + 736323427, + 357549972, + 868138781, + 537499102, + 326364590, + 587220639, + 418513751, + 896669810, + 698382245, + 72594382, + 725153444, + 220038085, + 871606542, + 163921693, + 120025253, + 241770845, + 47357217, + 136507412, + 676031655, + 643155249, + 208289238, + 904527050, + 475515817, + 177817740, + 583293815, + 987224699, + 520356245, + 769806899, + 783404363, + 574325262, + 98642872, + 838488858, + 375511738, + 13957472, + 169985029, + 422478407, + 178250965, + 378753979, + 460229118, + 866572918, + 791949771, + 159510714, + 376445279, + 700931457, + 42832532, + 469227797, + 126151691, + 457350070, + 593685429, + 381224837, + 12898428, + 554870190, + 23179211, + 537171548, + 738146582, + 1769928, + 700659726, + 594764418, + 188805195, + 11976673, + 182783567, + 685407291, + 751116966, + 403060292, + 977346470, + 312485781, + 532577219, + 687526466, + 424133918, + 743812488, + 73352732, + 454226264, + 717281815, + 615884334, + 541736179, + 873239533, + 945203317, + 864028279, + 692337077, + 391962638, + 305424767, + 18257787, + 850334498, + 459066488, + 126306004, + 536436807, + 347469579, + 950384567, + 758719393, + 968891962, + 39934437, + 35499119, + 674268127, + 962230114, + 3236798, + 319653175, + 572995629, + 151082434, + 304159341, + 432473771, + 971275277, + 461816601, + 957962599, + 545119336, + 284680151, + 144333874, + 618095902, + 932917507, + 278599805, + 608910641, + 205847165, + 564775384, + 623859354, + 991150106, + 286827510, + 110812482, + 445761050, + 402493117, + 9102165, + 80809154, + 503908438, + 769295535, + 417165630, + 535392282, + 116452195, + 303464368, + 145164424, + 626490918, + 156138666, + 790252511, + 812334394, + 78023254, + 973026316, + 684464817, + 672888129, + 387748246, + 670379810, + 933804415, + 203287496, + 398958059, + 868058097, + 158918750, + 697471963, + 471171626, + 938936777, + 418574849, + 684272680, + 536664353, + 195243872, + 726497297, + 53471695, + 771544680, + 504081930, + 895964376, + 754771551, + 995118945, + 616539886, + 963061523, + 97047003, + 374176971, + 474961123, + 448338768, + 710030859, + 331562778, + 254858465, + 237599498, + 960847172, + 809898805, + 636293623, + 911832656, + 199761742, + 895961497, + 509687837, + 138529600, + 323829549, + 808277547, + 438588633, + 162431607, + 870806826, + 437483311, + 389985504, + 514672074, + 933258571, + 548897179, + 43497189, + 979097145, + 12234182, + 866275687, + 769868182, + 502224188, + 193225240, + 848361226, + 255061959, + 372499563, + 551495041, + 805719567, + 949048178, + 140195801, + 971703109, + 738299904, + 525771832, + 425092684, + 655684237, + 348458464, + 951887441, + 371720060, + 398051868, + 664503700, + 760440369, + 446784024, + 761995375, + 953062642, + 597811767, + 527247973, + 4976502, + 225333114, + 468496402, + 826238709, + 63301609, + 329428625, + 317607049, + 783503238, + 712036410, + 972362106, + 454108165, + 424886003, + 686830782, + 5577339, + 936250257, + 973965801, + 2140444, + 36448087, + 468860114, + 544621066, + 426178303, + 241562367, + 206216472, + 276307666, + 700408058, + 625863208, + 79266763, + 412093905, + 399690643, + 381839420, + 467850144, + 891184649, + 501956241, + 24373048, + 262139692, + 559109240, + 804459599, + 685326711, + 404703091, + 599124058, + 705638160, + 66010830, + 572382694, + 142393392, + 755617027, + 211256597, + 157972323, + 426272782, + 170355761, + 847696831, + 686432641, + 383382240, + 282582534, + 593709538, + 320752146, + 133156989, + 886648903, + 855759513, + 85513480, + 491658679, + 725486533, + 676320995, + 114846874, + 210181058, + 267633091, + 41505797, + 802469150, + 368384837, + 332907465, + 459876656, + 350386959, + 139301990, + 476515542, + 284084715, + 608952961, + 912412161, + 497156205, + 204280075, + 930784971, + 779122436, + 639912989, + 126609283, + 254803045, + 835189517, + 130235340, + 316733032, + 108977237, + 592160052, + 37559923, + 194568423, + 914335770, + 685720404, + 107547937, + 637317444, + 953315988, + 871460781, + 22332913, + 592472818, + 476939353, + 297916785, + 439299040, + 992445713, + 152212871, + 344276681, + 822954572, + 414689233, + 644588139, + 922214511, + 181235967, + 809186715, + 534838706, + 927285069, + 376960469, + 120421171, + 944612098, + 340608828, + 141185974, + 654039010, + 301901081, + 296186418, + 137070738, + 599074841, + 97389257, + 797992442, + 433678538, + 559504188, + 996494166, + 739448830, + 475427719, + 869762822, + 394867932, + 948262789, + 452271808, + 834513047, + 199150185, + 49650093, + 828712800, + 627921535, + 363158976, + 76454190, + 146135990, + 427597937, + 669425666, + 934284804, + 522926621, + 637831676, + 483300813, + 114082465, + 545888377, + 453056547, + 949172295, + 419258192, + 514041620, + 231384501, + 107162413, + 73173992, + 844227465, + 791239420, + 837866605, + 216244547, + 826610670, + 19449906, + 468624328, + 729637119, + 836224906, + 281505863, + 705697748, + 279335372, + 582478498, + 417570183, + 690295152, + 936613103, + 941382488, + 199769479, + 29332370, + 323861994, + 429166102, + 112235116, + 272958779, + 45111599, + 422460962, + 248191757, + 935338823, + 304617377, + 568451880, + 442521459, + 432216121, + 233999610, + 635146751, + 881002163, + 131782129, + 566256909, + 411335999, + 96899947, + 981800344, + 279218293, + 646961444, + 814063665, + 667514231, + 135908328, + 634464926, + 479559167, + 13326366, + 8053499, + 901327496, + 453296333, + 737690369, + 632593901, + 16736277, + 768217155, + 398071355, + 455319406, + 20732209, + 642669175, + 702322195, + 321919264, + 943641048, + 163523569, + 604140947, + 837388404, + 746504612, + 981439957, + 669071566, + 501080562, + 735676194, + 993993615, + 660724997, + 658015335, + 679238625, + 982401811, + 505908363, + 673436266, + 709620947, + 46276131, + 148724631, + 484351392, + 891626508, + 135667940, + 588451983, + 920108566, + 210473120, + 164587258, + 257897584, + 78366094, + 132963361, + 715418987, + 482733481, + 371780191, + 413850129, + 15539465, + 536690171, + 118445333, + 325068590, + 351406067, + 292084841, + 99114858, + 294398919, + 164521563, + 274689230, + 615947561, + 392233866, + 985684016, + 334590391, + 369483441, + 434626832, + 555283060, + 499384303, + 791918638, + 454703383, + 488556164, + 876860330, + 924345537, + 28765313, + 655633708, + 889124475, + 444366319, + 426514394, + 210665198, + 438034637, + 770416812, + 573475298, + 904958203, + 879680280, + 666883397, + 412068834, + 661612041, + 943371819, + 601381717, + 209406950, + 840725928, + 151935684, + 915005139, + 363569388, + 850895284, + 806207458, + 110967716, + 41915685, + 646848310, + 377072799, + 359707201, + 613943867, + 803593949, + 710470490, + 104448854, + 971452585, + 800074634, + 741153947, + 178462544, + 368493638, + 764001095, + 298633485, + 875307858, + 840634400, + 667643094, + 662433945, + 444892132, + 728864651, + 532977551, + 889069664, + 807924, + 742002064, + 866017576, + 654011940, + 360116974, + 283588474, + 926554740, + 153631244, + 492723950, + 813957638, + 106061139, + 684115387, + 317117289, + 559313868, + 300954149, + 172098112, + 745117159, + 912973270, + 352957873, + 326936914, + 51617341, + 190367403, + 855154936, + 103124606, + 409507018, + 606395673, + 786767335, + 129979253, + 613448143, + 419384239, + 212267072, + 171258435, + 303796924, + 344583355, + 908336288, + 485870464, + 639764421, + 74829793, + 264784508, + 726395338, + 372680437, + 202248279, + 333743230, + 731416931, + 188997414, + 688025043, + 5850816, + 895405449, + 274592023, + 365763467, + 47461045, + 622161502, + 55726973, + 611743179, + 373698512, + 382501536, + 854432535, + 654911538, + 936565555, + 358261394, + 338745461, + 523140080, + 180902944, + 742266099, + 515122874, + 906478704, + 18472792, + 643495385, + 212687378, + 50306737, + 162854659, + 116210285, + 215397323, + 435304947, + 858970704, + 945142858, + 293827102, + 699132952, + 239733461, + 318999582, + 89424477, + 962962328, + 670970111, + 700199825, + 594821401, + 287849514, + 651805837, + 996426373, + 603739389, + 995484455, + 80670999, + 283902621, + 905025733, + 641494535, + 440253166, + 239773961, + 963709201, + 87595318, + 842810197, + 721349503, + 378316046, + 512241754, + 716445867, + 428229630, + 156658108, + 263208207, + 404506438, + 356637324, + 331203229, + 785352427, + 231184022, + 603592734, + 173657167, + 488530074, + 520535989, + 936765610, + 856553595, + 319830812, + 187803920, + 500330895, + 446062724, + 550827838, + 662333613, + 437902361, + 867236970, + 416574785, + 201726601, + 573567927, + 868043551, + 243801239, + 745033756, + 246537645, + 471806556, + 867238304, + 958583866, + 482867740, + 576361648, + 660624690, + 535078703, + 594913976, + 903258780, + 359908762, + 900226174, + 585340443, + 916495363, + 216485045, + 265371628, + 496435409, + 726898377, + 41144029, + 302746813, + 380489301, + 605332707, + 513513567, + 677333326, + 855863940, + 673708101, + 326537382, + 372873872, + 648703632, + 307927537, + 754280336, + 62756143, + 756163237, + 639572402, + 872453641, + 445049794, + 933385441, + 998929831, + 196088114, + 896181348, + 518154537, + 163512885, + 403332405, + 207273960, + 960858415, + 11355527, + 362597447, + 655464361, + 347233276, + 878817314, + 891229215, + 501385125, + 97030473, + 839996025, + 122006554, + 152724566, + 349729655, + 761924896, + 209630356, + 617976090, + 705655657, + 670722120, + 172272479, + 693499243, + 990491492, + 262398490, + 863904363, + 923210683, + 28682529, + 759389037, + 174370056, + 988004597, + 755673964, + 834991350, + 144921258, + 420593340, + 506311894, + 973161848, + 157079244, + 135413222, + 58304016, + 496958845, + 588566346, + 535500549, + 119836563, + 343436158, + 799624665, + 597392933, + 406080332, + 328261411, + 948115679, + 600446251, + 941059120, + 607635504, + 368194071, + 584872438, + 262462331, + 426732312, + 491416496, + 195379450, + 969148608, + 339353658, + 446461402, + 466041038, + 105972947, + 79417410, + 58560540, + 300060929, + 732410237, + 151918892, + 854732464, + 994757575, + 895358910, + 153713943, + 55951387, + 8598408, + 802408915, + 107524404, + 715749762, + 211784814, + 956756809, + 946813397, + 610348846, + 36306237, + 946624774, + 841662139, + 969945009, + 759310763, + 474127191, + 88758597, + 694652524, + 141456515, + 141156584, + 161934615, + 328601789, + 151239441, + 433913175, + 124753, + 939319358, + 792831625, + 104331331, + 965759500, + 144222653, + 265703692, + 622649950, + 793680491, + 641485277, + 639262901, + 935068163, + 493022054, + 506865658, + 766466007, + 128909819, + 292847498, + 548470070, + 620197397, + 189770322, + 969859786, + 137679954, + 101547459, + 745346962, + 434736562, + 881034880, + 896325302, + 373049874, + 809467514, + 530164831, + 633387571, + 197476040, + 314216624, + 329011377, + 574011244, + 119582829, + 207882371, + 796041543, + 923655974, + 34393238, + 584968327, + 927853862, + 149250315, + 742545690, + 583840842, + 583311892, + 489656802, + 448754094, + 2834435, + 857339246, + 951899538, + 736705098, + 572840769, + 328095335, + 532707073, + 792022036, + 718214733, + 713143237, + 371481719, + 268499181, + 604110640, + 524647235, + 879705605, + 924568170, + 7835774, + 958515330, + 408752313, + 626595107, + 26987701, + 725553471, + 474571867, + 483130638, + 406157551, + 708720495, + 680646016, + 383006931, + 490687371, + 535979899, + 879403030, + 420058062, + 536275830, + 516180757, + 449225759, + 227880059, + 629632803, + 459688318, + 37597535, + 647290604, + 661729984, + 379879, + 673210808, + 655786710, + 114463277, + 49543061, + 898587159, + 11730702, + 186895213, + 490977758, + 968165117, + 450026073, + 358566779, + 728050844, + 471317450, + 559436176, + 650792609, + 148400895, + 751401074, + 818289392, + 585569299, + 519520571, + 220538992, + 630081749, + 733916306, + 948852718, + 592787813, + 66817993, + 826751458, + 192995057, + 414891696, + 411627534, + 636749010, + 713172241, + 380794287, + 430100767, + 271009912, + 631231085, + 15712776, + 955533373, + 263032839, + 59274823, + 145561183, + 778962443, + 409595079, + 241368227, + 305497116, + 612047125, + 170448961, + 73980308, + 475045977, + 891218969, + 414708731, + 693222833, + 459026369, + 764089741, + 344269105, + 972445416, + 142450416, + 313522221, + 587975819, + 21963285, + 243302684, + 963521039, + 951741230, + 148124676, + 522694615, + 842622031, + 132343563, + 667177117, + 901624028, + 936088725, + 516969275, + 578853217, + 195748012, + 138548437, + 308962539, + 335439469, + 571603870, + 421392907, + 872515199, + 358251102, + 400914164, + 255811698, + 328756209, + 987857882, + 947821767, + 978124379, + 143520806, + 228549738, + 277319837, + 404772139, + 740917155, + 189823463, + 364610517, + 312257877, + 506552745, + 497851023, + 402855307, + 276279337, + 274210177, + 804559867, + 471318350, + 308464080, + 309640295, + 261565277, + 775570410, + 300809580, + 217037388, + 118942880, + 290261894, + 589251896, + 972564721, + 225120993, + 276710948, + 606196787, + 493459965, + 746678313, + 143335555, + 333199341, + 356291417, + 512846878, + 715631057, + 97601150, + 244565172, + 241035453, + 804701305, + 563072490, + 653759253, + 830304968, + 763369009, + 403908899, + 37819216, + 953811137, + 493966603, + 287797355, + 233844590, + 678028934, + 284861956, + 787513354, + 425134604, + 132488942, + 641345361, + 819423998, + 575077797, + 200592483, + 2678552, + 773880057, + 633459454, + 418563614, + 392330851, + 53212443, + 112684611, + 649380531, + 328469427, + 983813704, + 615259884, + 814402505, + 935668118, + 581255443, + 729541466, + 655588752, + 547940385, + 296523214, + 198690732, + 246785975, + 37038678, + 977056316, + 190079920, + 76964565, + 730323231, + 453821513, + 457798402, + 623681788, + 805291730, + 685126162, + 321816683, + 649250576, + 302155794, + 142455974, + 505599982, + 354378562, + 929596157, + 273283199, + 463125059, + 886143505, + 420115678, + 366762201, + 154930404, + 861281071, + 170433470, + 395481742, + 422967595, + 587784502, + 656545184, + 467303459, + 318795281, + 28748024, + 817771840, + 360241290, + 575114910, + 564917197, + 946197544, + 618544260, + 562695341, + 431249937, + 234341302, + 783954580, + 7024662, + 257034295, + 457366561, + 732256592, + 616184899, + 706997628, + 156243262, + 741336635, + 546908373, + 798077900, + 694840547, + 382900399, + 6011952, + 74351086, + 482868741, + 20890979, + 844166201, + 5406679, + 695182597, + 460949325, + 948918620, + 331990010, + 250830343, + 330993093, + 413773690, + 518079844, + 671649230, + 893777350, + 433234593, + 113262501, + 447877602, + 171748848, + 786528553, + 508517418, + 206849124, + 179607539, + 873787404, + 693804552, + 133527269, + 338498122, + 648352384, + 221852846, + 53147155, + 5039473, + 518172082, + 635210705, + 450156488, + 352542533, + 58309066, + 889341414, + 339804847, + 182104577, + 986048056, + 629396229, + 88241540, + 718131849, + 680926054, + 693248975, + 960145606, + 798684739, + 689611077, + 965278245, + 606817738, + 117064123, + 135766461, + 739869133, + 26272425, + 969218639, + 51685576, + 354166142, + 21620455, + 708455293, + 579972830, + 639037404, + 545179844, + 462306787, + 41017015, + 406597850, + 957222892, + 253527972, + 646198619, + 41776694, + 931089216, + 723025614, + 126360990, + 990637099, + 423774546, + 806233157, + 804855073, + 646341675, + 504251829, + 95978726, + 92082401, + 496686842, + 402813376, + 605453412, + 562835197, + 445997342, + 675575871, + 930738057, + 659512908, + 335853945, + 264393594, + 756491177, + 623396826, + 75463716, + 804288438, + 671546524, + 515932979, + 608570615, + 175913080, + 699535464, + 873197485, + 1235886, + 754748928, + 845619208, + 7775689, + 445300472, + 950025231, + 587977959, + 121783002, + 613480763, + 563448530, + 189533576, + 774780941, + 299658518, + 415321340, + 112042900, + 405626181, + 770359242, + 230060980, + 923793704, + 511067252, + 13926320, + 753401249, + 377714922, + 106315129, + 864640114, + 32467658, + 67145493, + 942321434, + 361682231, + 471271200, + 569440122, + 481037197, + 360152106, + 962520811, + 608334954, + 254612331, + 494273414, + 494904107, + 143927285, + 294939700, + 946235820, + 473960484, + 596130772, + 675431275, + 944655743, + 108281304, + 824777687, + 199959754, + 242834399, + 688765874, + 35889707, + 678971377, + 930501862, + 645887731, + 306404364, + 120102038, + 570107199, + 221754217, + 392551873, + 837739481, + 195447329, + 669499174, + 498493729, + 127058810, + 171270982, + 693350777, + 24750477, + 621501128, + 779020574, + 137961706, + 596481080, + 505225841, + 649416601, + 330705626, + 819330571, + 100316246, + 648884869, + 367732051, + 528042454, + 615861941, + 940936065, + 654855678, + 953366975, + 187481608, + 13072638, + 811563545, + 176862973, + 522491762, + 495515206, + 549662553, + 231145375, + 36782719, + 413277187, + 444180605, + 756986446, + 203515708, + 356450660, + 222154044, + 853252026, + 529607447, + 867300249, + 732549380, + 219730350, + 718870401, + 112120688, + 770606473, + 102332607, + 962369809, + 882034564, + 651617852, + 561265444, + 268446713, + 939250007, + 969624108, + 64451741, + 952377938, + 883373895, + 132371322, + 139707884, + 641203269, + 32987856, + 984267863, + 695377651, + 57723811, + 737422362, + 430204648, + 720248917, + 964235271, + 999265669, + 565793202, + 161475336, + 872470203, + 385556983, + 640201530, + 104663033, + 718964960, + 786588872, + 940797799, + 529448619, + 163018069, + 524103470, + 376880209, + 640251054, + 97835934, + 228739014, + 548098012, + 899736858, + 339149079, + 614779366, + 947639599, + 470642489, + 417249951, + 316961151, + 414333711, + 258341310, + 360088804, + 675046147, + 470679507, + 285802352, + 57614758, + 452835053, + 525322379, + 970191599, + 89808854, + 571026504, + 456714222, + 419922046, + 592018774, + 615747648, + 695435219, + 230282942, + 282777475, + 736393158, + 19027186, + 500857806, + 328180103, + 410335868, + 421517559, + 188003876, + 848931266, + 833227144, + 329088548, + 213052606, + 373398306, + 69897169, + 517252605, + 87024929, + 719786334, + 246381133, + 564818808, + 443340473, + 952030767, + 677881411, + 28073688, + 313720006, + 258070858, + 419197606, + 678884472, + 517474104, + 441104056, + 25877018, + 998969973, + 429423301, + 58293248, + 893615921, + 831187574, + 396327903, + 69762474, + 275664475, + 331044192, + 586204871, + 106698065, + 247457562, + 661032380, + 101932883, + 447005962, + 830147110, + 269798384, + 140963714, + 577736926, + 678331403, + 12262090, + 7718308, + 382537070, + 861072232, + 433366443, + 918335824, + 598268800, + 194624175, + 815428099, + 466058727, + 931830544, + 618703552, + 810220066, + 347643021, + 478508217, + 72972744, + 538683457, + 998761021, + 657416269, + 940321975, + 469048308, + 633557531, + 858683477, + 985474306, + 510053092, + 794978431, + 836488913, + 896719885, + 23804625, + 30806693, + 157532818, + 624146655, + 476398805, + 387193175, + 244376833, + 87650656, + 888101216, + 172038950, + 852567177, + 756587007, + 905863962, + 555013874, + 328667493, + 961773176, + 321150165, + 788629383, + 700998117, + 651260224, + 965802674, + 734859467, + 79853966, + 113427845, + 608384883, + 810082674, + 219112661, + 212980418, + 124213121, + 537871681, + 888487471, + 367407161, + 330543173, + 180677716, + 495153276, + 974566420, + 961653137, + 656949846, + 251304735, + 576177486, + 749967326, + 941263585, + 28263370, + 548196683, + 189813118, + 710001157, + 164411129, + 393696462, + 834633907, + 666732441, + 260179634, + 539904565, + 189832686, + 383401181, + 487000708, + 672805381, + 207548254, + 404084050, + 604070349, + 338899226, + 833731952, + 920558768, + 436405367, + 560084907, + 879184661, + 93690221, + 599280644, + 345063158, + 611733895, + 353608516, + 792441748, + 444101403, + 537979629, + 658345857, + 838773947, + 779864149, + 834201101, + 479653095, + 691457214, + 718337264, + 491274972, + 402520551, + 104392337, + 926884884, + 395517545, + 254933075, + 727980238, + 882106090, + 347186957, + 20608694, + 280345993, + 599682670, + 287347521, + 39854710, + 684024577, + 532733710, + 940891925, + 988151524, + 63414860, + 969363141, + 732575580, + 417204027, + 381302365, + 700029604, + 703415918, + 268410373, + 224500928, + 615496156, + 200194768, + 681646882, + 755638019, + 266681525, + 802501579, + 656022656, + 415591448, + 507732230, + 943287867, + 411045609, + 286299838, + 388388295, + 501861736, + 794699105, + 450466659, + 436375043, + 425439174, + 290704808, + 429067527, + 427946670, + 664867137, + 352539309, + 458320186, + 78714192, + 447366161, + 212681025, + 588285688, + 566049567, + 245592497, + 587298081, + 662326130, + 666706699, + 702381884, + 7592924, + 138896928, + 155057636, + 776656461, + 422402262, + 57603399, + 329846427, + 818530855, + 871148075, + 877979407, + 736669122, + 170979261, + 170583394, + 933231858, + 468321787, + 22126824, + 620955654, + 462989135, + 331827527, + 781195440, + 843241523, + 553955086, + 54608876, + 595706087, + 718793510, + 73604859, + 260899739, + 821072403, + 570358702, + 683195371, + 593278089, + 12886136, + 895685746, + 369237408, + 874556913, + 597268509, + 565632490, + 373084816, + 972892219, + 284084779, + 994471530, + 951892323, + 436655083, + 184869456, + 39590983, + 950471416, + 797947180, + 792950891, + 212173316, + 972900026, + 737709144, + 20777465, + 997520116, + 627332892, + 932808769, + 678303614, + 435019578, + 726829720, + 511500938, + 514525836, + 876805157, + 914501926, + 607581263, + 127851827, + 96501445, + 610427742, + 419727390, + 750061395, + 90478656, + 494842949, + 54431076, + 858662555, + 497395645, + 493028117, + 971284183, + 716106554, + 670509587, + 289901395, + 415463207, + 126539911, + 957463568, + 353605623, + 315642204, + 374457039, + 564502927, + 518000656, + 988345288, + 931138660, + 615697628, + 749355521, + 279016208, + 121491804, + 163872656, + 350425773, + 559543267, + 839261249, + 647395242, + 954222185, + 234723840, + 650277200, + 93871672, + 187940418, + 967206552, + 449319428, + 939717694, + 538549072, + 154602092, + 672585063, + 101605166, + 556530089, + 588194428, + 560428735, + 600059376, + 505614677, + 168977539, + 725249056, + 714022029, + 619514652, + 644722743, + 385679800, + 941790760, + 811608986, + 30901675, + 677095131, + 804262519, + 424357828, + 935482699, + 499716783, + 980412699, + 519211457, + 368290666, + 950202144, + 414258732, + 620167270, + 139456889, + 594305651, + 68112144, + 900793613, + 399183537, + 375581465, + 139077972, + 706786733, + 848676550, + 568605333, + 408921619, + 833324418, + 205158209, + 958888669, + 408778556, + 674522081, + 61404557, + 66659955, + 517119318, + 220798575, + 342410124, + 942997198, + 759359747, + 453888785, + 320436683, + 747554144, + 382103145, + 868163749, + 973141939, + 456013886, + 729708382, + 554392993, + 457645263, + 668634903, + 919073463, + 461790106, + 650462250, + 189437569, + 399436263, + 502082567, + 312593647, + 225035721, + 445911753, + 135961367, + 964992135, + 839364616, + 247428634, + 776675884, + 513764682, + 294642958, + 487608878, + 59504588, + 67829667, + 268968665, + 45154894, + 875783464, + 256848320, + 197476740, + 541799467, + 578759351, + 976674707, + 965996471, + 445125700, + 314892022, + 744787113, + 410607235, + 431423448, + 122290488, + 174230020, + 490760509, + 637890779, + 38927948, + 695445304, + 659280339, + 530814257, + 520837155, + 907755971, + 188952565, + 519565801, + 568939429, + 191522571, + 729691675, + 568079039, + 18309712, + 390048160, + 33812139, + 402634569, + 167523322, + 567199770, + 830809055, + 387882589, + 743010101, + 321667970, + 223747632, + 679685016, + 740856529, + 59848359, + 7257301, + 542869034, + 536679854, + 426876851, + 974413622, + 22802000, + 76123639, + 34253152, + 357708838, + 349233243, + 130171244, + 760365664, + 715677036, + 390826466, + 485464569, + 525268882, + 692813758, + 360974898, + 441696132, + 312207247, + 486391436, + 142114675, + 658280508, + 255704059, + 423616460, + 378383307, + 295668321, + 869418639, + 4211304, + 606455055, + 396895987, + 652902194, + 248201178, + 846175223, + 307592875, + 68689032, + 109471583, + 41585253, + 618173530, + 546610551, + 650690402, + 150713403, + 62711242, + 93682846, + 919898919, + 344382756, + 548160845, + 110202710, + 302120498, + 283762195, + 607701279, + 865483098, + 429102743, + 568890983, + 158120607, + 600070360, + 996796751, + 159666361, + 919967250, + 561799388, + 652453184, + 612136378, + 577092472, + 459147191, + 460170206, + 659757661, + 681030567, + 462976811, + 597146215, + 577999915, + 149602264, + 296550530, + 595153335, + 97753311, + 762648008, + 64087671, + 436222693, + 721013187, + 632404607, + 208527341, + 276913648, + 360289251, + 510781128, + 573748346, + 209506769, + 930171893, + 103390511, + 188577258, + 993927050, + 216961923, + 456135489, + 632370952, + 163221303, + 503172850, + 93975624, + 765584731, + 761562242, + 395870350, + 556408824, + 55181124, + 499209900, + 125463160, + 54483587, + 89983194, + 432647433, + 767068348, + 670638831, + 705597153, + 299888368, + 386170405, + 833224111, + 480277528, + 730782444, + 314599378, + 664059384, + 527695050, + 596832188, + 523719703, + 540159396, + 1827734, + 343512877, + 254059191, + 790714859, + 942919423, + 241081502, + 454132448, + 435159111, + 260902280, + 81595491, + 505694945, + 67928147, + 161318028, + 341233204, + 296806228, + 449654063, + 142664840, + 110315501, + 589804701, + 244296235, + 622667903, + 970962840, + 260284849, + 486218971, + 944837002, + 813999962, + 201469049, + 217350655, + 721812625, + 349634930, + 111528599, + 904476691, + 816155149, + 89509770, + 145160943, + 816696022, + 442672587, + 518645662, + 203758762, + 683434830, + 956774160, + 251508525, + 830837216, + 313419712, + 461464370, + 606169250, + 494435991, + 147924710, + 376345341, + 655256284, + 713194796, + 103538203, + 80962776, + 592023070, + 99817335, + 302987006, + 616607483, + 381302266, + 934511029, + 972636400, + 272903324, + 720910635, + 520213821, + 458861488, + 580680884, + 693688209, + 545322626, + 754172978, + 276489538, + 107591087, + 715137357, + 470049812, + 412495976, + 429126691, + 206087088, + 760835382, + 574016449, + 25154295, + 703303469, + 420760337, + 711166091, + 78551339, + 211201451, + 919221365, + 683716679, + 495720350, + 1489083, + 127919248, + 952559782, + 574913105, + 273767648, + 452974357, + 696803150, + 735544443, + 923605964, + 230624645, + 813323993, + 432565911, + 842651514, + 328096372, + 523034825, + 824755677, + 785888138, + 992427019, + 892400498, + 185449677, + 573940349, + 80317066, + 952652231, + 372062501, + 88712961, + 925226644, + 824178547, + 806069142, + 414696501, + 972060445, + 976047469, + 1943241, + 593948567, + 85854949, + 462510807, + 733794811, + 607882411, + 199497035, + 901089382, + 103566478, + 73423526, + 353359450, + 886510312, + 29515623, + 361454114, + 335907138, + 396664089, + 604304169, + 54193487, + 843279880, + 645213498, + 709910955, + 960077256, + 237269686, + 308053328, + 85251357, + 740726676, + 130252148, + 757630859, + 62008964, + 55622821, + 840787843, + 488855194, + 323934134, + 178437086, + 755596706, + 237579770, + 781989734, + 638405408, + 28492153, + 472071443, + 768863297, + 449197703, + 829056366, + 863630980, + 685269673, + 259472907, + 578217443, + 374532904, + 54812020, + 853338604, + 257338514, + 536893066, + 561111444, + 398153109, + 188686358, + 908746998, + 19858409, + 468950810, + 337260851, + 658829005, + 47955174, + 363073945, + 942761098, + 337828130, + 830877831, + 341319081, + 645052767, + 558254104, + 475432900, + 92897661, + 736869237, + 507115861, + 453705290, + 8103596, + 621297911, + 334949886, + 89549364, + 650068336, + 166926536, + 396620762, + 944055544, + 106128975, + 328200689, + 921640660, + 187842384, + 278523528, + 667931202, + 63316543, + 798805414, + 389246196, + 759456462, + 781862651, + 203427557, + 885312024, + 507420363, + 32435899, + 650902630, + 543212033, + 284326977, + 549382037, + 401649743, + 635488515, + 240279670, + 20532210, + 745401998, + 279452968, + 604112438, + 192010168, + 410976398, + 943355094, + 606705879, + 954451853, + 309924074, + 118242178, + 823057346, + 450193989, + 142904542, + 460650256, + 560564885, + 442891012, + 376969095, + 20287140, + 648722379, + 278707732, + 117209374, + 217559502, + 34597079, + 180732673, + 75341315, + 547706254, + 432291901, + 949467342, + 594796136, + 413284488, + 189241423, + 188041627, + 804874822, + 461851486, + 494088151, + 994394766, + 23577820, + 424181067, + 624368325, + 280815689, + 923757504, + 954440881, + 437115018, + 368355517, + 438623365, + 945607041, + 664015520, + 268251864, + 10039328, + 926018893, + 949941948, + 636774300, + 882698447, + 29903935, + 11749110, + 482921479, + 5994153, + 92419280, + 675433980, + 187967030, + 522871804, + 6560600, + 485538232, + 717934999, + 47512681, + 600134529, + 364154985, + 929961983, + 210039990, + 992389496, + 886652754, + 585469472, + 708340350, + 147692530, + 728252743, + 780881376, + 778996304, + 344614999, + 862656006, + 290273929, + 61527365, + 240402157, + 697029112, + 874941917, + 69732831, + 509932152, + 122032276, + 453943424, + 753323179, + 357816985, + 237566569, + 806822296, + 176346524, + 889628870, + 451920125, + 436797016, + 47009747, + 827783438, + 164301943, + 378855140, + 773982429, + 403317048, + 978777250, + 856975997, + 102381675, + 263681982, + 105431600, + 392945628, + 191147829, + 410959457, + 352639845, + 693127258, + 604552840, + 290493741, + 12938023, + 782099757, + 526194415, + 843390096, + 476798929, + 645265394, + 925964622, + 34878746, + 591501842, + 71703717, + 976619772, + 204761005, + 103732350, + 751236564, + 926802506, + 37288273, + 869522497, + 766248350, + 774142686, + 676229664, + 857674426, + 76521517, + 208235942, + 507355293, + 586553827, + 685828354, + 108575516, + 299057852, + 155157682, + 768522426, + 134774150, + 346709638, + 516474602, + 632160355, + 343374737, + 891607539, + 750737100, + 792015439, + 765772907, + 265010066, + 67069619, + 105548256, + 411777512, + 322754819, + 288439374, + 287714508, + 366796672, + 101070776, + 157038394, + 9844160, + 844144089, + 378993199, + 949904936, + 898475096, + 59730013, + 454628782, + 813987969, + 218487630, + 123332815, + 548131200, + 313119730, + 678002330, + 528647702, + 42190126, + 921956980, + 484396219, + 105696027, + 312080216, + 364652758, + 126930845, + 70688533, + 429593213, + 942127361, + 28026149, + 988803528, + 149540358, + 72352263, + 198331891, + 966030806, + 318514174, + 653683902, + 408013344, + 319763927, + 272980332, + 436859647, + 660404189, + 454092514, + 576029198, + 23454836, + 333841160, + 410890535, + 108841435, + 106097731, + 560779128, + 744997752, + 49190282, + 21862704, + 12296944, + 315295697, + 318529598, + 862140561, + 19730801, + 871831935, + 97818175, + 280342881, + 826474825, + 631737687, + 188181695, + 916889024, + 323960931, + 116278491, + 411763512, + 945593964, + 75620691, + 253743109, + 356901230, + 74491, + 461054191, + 676224826, + 899985858, + 845906432, + 416058238, + 515440476, + 395773905, + 798359484, + 250794975, + 642980335, + 211944980, + 595445056, + 84146634, + 65105911, + 476238921, + 661894951, + 398878288, + 196789467, + 471907544, + 304816424, + 95596574, + 634376441, + 182169178, + 703562960, + 511957000, + 687358401, + 629465076, + 515072607, + 308883369, + 388190008, + 62450068, + 67879479, + 739189054, + 281683990, + 381182432, + 224503331, + 87094570, + 338271053, + 166002021, + 575824828, + 710383364, + 363830087, + 317693526, + 763695560, + 444389091, + 579977050, + 621292506, + 292171269, + 292036142, + 576908307, + 583158825, + 355141763, + 26569236, + 900368538, + 424912772, + 297803740, + 401465098, + 692951565, + 675614906, + 487572644, + 628278290, + 245504108, + 777142957, + 132725311, + 108269053, + 217465599, + 269412591, + 468720599, + 599053337, + 54776237, + 483125667, + 450537345, + 983301403, + 214983269, + 480505186, + 365836245, + 539034751, + 246994365, + 178130738, + 880124086, + 71621815, + 176828227, + 106982176, + 414203362, + 780390979, + 521956409, + 920724803, + 596177494, + 490056152, + 958227187, + 261272311, + 285649190, + 300332085, + 441304985, + 240464391, + 533649392, + 164238207, + 502114127, + 331594292, + 298934149, + 947669621, + 36751468, + 232522956, + 741957135, + 238678731, + 835647820, + 512663447, + 622029974, + 991843804, + 536217485, + 352734832, + 838182897, + 215689599, + 486477496, + 287584769, + 714126903, + 370223203, + 619271833, + 590834869, + 462693107, + 955149778, + 910383191, + 239414719, + 372593387, + 554289349, + 407608616, + 831634986, + 597245795, + 201235601, + 827562794, + 622103496, + 322527681, + 835031358, + 131615771, + 512222838, + 604527335, + 705351655, + 813184053, + 82116070, + 663014810, + 364896329, + 550609700, + 687126791, + 238474644, + 287184742, + 323887654, + 634876308, + 467773750, + 562857153, + 198099198, + 167047672, + 491333821, + 460577234, + 770241682, + 704386002, + 587002638, + 452318744, + 326462931, + 444057587, + 975586497, + 385201391, + 481913313, + 132476205, + 569399784, + 347397156, + 119448826, + 496990273, + 944347738, + 932211089, + 331708225, + 713392877, + 759466099, + 258212480, + 301576651, + 915298979, + 257119860, + 763561276, + 809372108, + 665090309, + 149701804, + 594211649, + 325639206, + 298523674, + 520986936, + 814054495, + 97740115, + 856838477, + 255841214, + 897575341, + 850972062, + 121307254, + 48812244, + 701609591, + 621161859, + 872845322, + 135688387, + 175200093, + 630484481, + 120429717, + 405822240, + 818492399, + 333561585, + 620603847, + 770001654, + 247363681, + 839816985, + 853031016, + 630698442, + 218699840, + 948490508, + 890784741, + 340850183, + 811334721, + 370837256, + 875285081, + 346867064, + 759138882, + 44896094, + 860240021, + 996786680, + 203095330, + 663479406, + 55627309, + 679023496, + 813841007, + 801648280, + 853477103, + 109264626, + 45529671, + 831357322, + 674888319, + 688589802, + 278490369, + 90713271, + 521838323, + 563946099, + 638454800, + 274324920, + 471110778, + 720349522, + 891361376, + 58837066, + 126968899, + 132779449, + 372878697, + 550212995, + 768271789, + 388388921, + 490611293, + 520729888, + 714010503, + 425367677, + 980499590, + 53682826, + 495814758, + 420209720, + 425398878, + 637592680, + 802478359, + 74146929, + 59204571, + 687020073, + 600045690, + 915772320, + 104776854, + 767876472, + 261305102, + 173080802, + 889442235, + 700394821, + 913551944, + 163358995, + 356012385, + 20836437, + 889116796, + 675684916, + 669545631, + 873234091, + 43643591, + 510913886, + 896915606, + 670586605, + 613337861, + 274447604, + 810969909, + 839071190, + 842027954, + 348907324, + 88169643, + 95965620, + 389162190, + 365294233, + 353038016, + 937646503, + 256765092, + 629695370, + 63027373, + 781300611, + 359253006, + 933728524, + 582093218, + 863710005, + 466720740, + 913645571, + 73393635, + 768988105, + 382849926, + 422095214, + 657963948, + 97538044, + 692109490, + 220102113, + 835937404, + 797274440, + 329842730, + 133698736, + 400147858, + 26257416, + 259742917, + 62181145, + 904229089, + 388469144, + 519008913, + 215499732, + 866810355, + 121597512, + 369821025, + 941069709, + 218655641, + 160226328, + 409153117, + 336544517, + 101259216, + 489175794, + 300287376, + 992784245, + 749164341, + 2445580, + 89046366, + 388248785, + 66474015, + 346576524, + 227382280, + 63271439, + 727220011, + 744583940, + 108069042, + 31350640, + 790439316, + 823055234, + 929789968, + 387337050, + 751556105, + 145534419, + 519287566, + 352444842, + 330076346, + 840679099, + 593565633, + 736330035, + 24958015, + 976674700, + 893633365, + 317059470, + 533037162, + 894170894, + 927997023, + 754581161, + 991362642, + 364472771, + 208485181, + 322378908, + 361671838, + 173979241, + 81552606, + 209426265, + 834925895, + 556019333, + 198221426, + 170669184, + 384994908, + 80428378, + 704881807, + 3593661, + 6573334, + 144754552, + 114947552, + 461728654, + 451694388, + 964977072, + 238226403, + 585543415, + 472709928, + 195004430, + 107335633, + 1506421, + 189522516, + 192666685, + 297647017, + 530803825, + 936143496, + 796374115, + 33331044, + 877735110, + 373495429, + 256780854, + 666405337, + 266424732, + 642194561, + 218778538, + 933301884, + 560458711, + 862667019, + 641270826, + 597489802, + 825055454, + 310991037, + 886716246, + 801331300, + 819686132, + 377716810, + 538967083, + 721233431, + 540443917, + 736405181, + 108878961, + 614085225, + 609650688, + 793930364, + 750643081, + 964600424, + 58043472, + 475618636, + 216180544, + 561389226, + 899874894, + 890924761, + 390586212, + 115841647, + 444324272, + 968327932, + 897277973, + 306121267, + 757235260, + 981547317, + 984408976, + 933568848, + 782478810, + 503705698, + 227520156, + 366931172, + 802643943, + 586174083, + 268766476, + 278658148, + 37789721, + 855010202, + 864026513, + 780859044, + 890812990, + 368123493, + 771935899, + 623584376, + 625916325, + 624700824, + 386228782, + 114220512, + 507684639, + 340450878, + 297399858, + 45731979, + 786502574, + 346322754, + 345148341, + 977686173, + 381465141, + 960637916, + 452569653, + 404815054, + 971199706, + 231132982, + 319193096, + 341019585, + 435491198, + 52940167, + 890561479, + 134154826, + 729804631, + 174736103, + 155227399, + 143146097, + 388636857, + 323059754, + 367354052, + 329389346, + 222308289, + 366840704, + 775083788, + 881243409, + 718043524, + 602841187, + 282168672, + 996385689, + 646079310, + 227344377, + 71242692, + 46212885, + 838422408, + 428386912, + 664362693, + 100226579, + 544958506, + 824252857, + 19555337, + 197705844, + 3370325, + 20915689, + 620549380, + 955517319, + 369067648, + 158922429, + 787727323, + 693109087, + 906417445, + 442401453, + 118666206, + 212861101, + 699529174, + 693802742, + 775385644, + 153536184, + 309748861, + 205434461, + 572291399, + 358580593, + 255183429, + 345737914, + 615682211, + 860712112, + 165165201, + 674424704, + 878020737, + 32346616, + 33146329, + 389321732, + 547301754, + 614722937, + 636962093, + 296216623, + 936539595, + 487557205, + 148332466, + 113187609, + 192088392, + 701326689, + 668156251, + 473199433, + 110849130, + 493153163, + 651492432, + 486136285, + 584213745, + 983857765, + 102083034, + 179594138, + 639270791, + 533560064, + 52237668, + 617203425, + 942172480, + 948509668, + 207264349, + 980993235, + 882855042, + 331402061, + 325265725, + 943263833, + 138095142, + 790230557, + 460522616, + 332759364, + 215231904, + 696654532, + 895661065, + 485737571, + 768338443, + 143834007, + 78369031, + 715480182, + 693304751, + 352750107, + 497185408, + 2523751, + 942447795, + 300229745, + 366247638, + 979614797, + 457280837, + 963792885, + 691321472, + 743819903, + 543788388, + 582935739, + 491631260, + 722900042, + 560189706, + 364130304, + 434732407, + 60869560, + 240234989, + 327131400, + 431354404, + 584870517, + 426661355, + 341572312, + 496353025, + 256219850, + 179538208, + 903373229, + 262869646, + 243539230, + 45745999, + 215034504, + 219065284, + 325162518, + 145914071, + 756078132, + 15082699, + 249267847, + 724457743, + 131756655, + 709646699, + 719684624, + 448066462, + 174534914, + 237294283, + 748572127, + 732240040, + 760127555, + 152306910, + 590786293, + 354965083, + 704223824, + 656864509, + 200374705, + 2383527, + 452395401, + 611883578, + 702291743, + 28505247, + 660251665, + 581619957, + 492688829, + 714298256, + 689841673, + 260247621, + 905630266, + 654225147, + 543682463, + 420906249, + 216940023, + 295195823, + 972740617, + 56721378, + 824712797, + 819681621, + 978746224, + 770375314, + 951445894, + 883044334, + 740303190, + 123859735, + 658396848, + 306381452, + 793349926, + 242463072, + 942836885, + 801427657, + 148508709, + 554498083, + 553057726, + 397332994, + 125026222, + 392847144, + 175666647, + 654252491, + 342320257, + 577296451, + 885432146, + 107299371, + 551511668, + 984317166, + 530511670, + 462401524, + 428062502, + 883017289, + 882702968, + 254456105, + 205997673, + 842550803, + 883475577, + 51583597, + 257508423, + 169601296, + 400333457, + 551645008, + 192117576, + 84841898, + 99631549, + 33596512, + 224702761, + 811524188, + 667180317, + 146653430, + 508120889, + 206559501, + 69242418, + 627241156, + 487344554, + 330354300, + 742646173, + 229226978, + 966146983, + 341149966, + 579037588, + 968431926, + 924871227, + 969773792, + 655567459, + 833370721, + 481360755, + 187527263, + 938923514, + 859136319, + 341243051, + 323888544, + 328098446, + 485872718, + 143493190, + 127354097, + 558364639, + 940054105, + 245522026, + 312419188, + 535690438, + 604357574, + 603202724, + 238375522, + 451369855, + 551622989, + 777113536, + 353551108, + 148824621, + 897163892, + 787118567, + 835224753, + 868124404, + 978863311, + 318984169, + 516507005, + 786243998, + 756725958, + 519329520, + 382069550, + 726336105, + 673036944, + 314855287, + 809979333, + 857615322, + 497763965, + 632086525, + 506845477, + 429090790, + 939618221, + 340583166, + 530479476, + 422177190, + 51846929, + 133174439, + 999396899, + 280030502, + 832076716, + 123684871, + 930810433, + 401218833, + 216824866, + 161760394, + 322801574, + 413989659, + 399632867, + 405322007, + 274936556, + 415787731, + 178403620, + 589775356, + 290509818, + 1601168, + 144754912, + 143545673, + 373928266, + 368590723, + 878872932, + 97010082, + 600303422, + 705718608, + 902996225, + 790289993, + 87617603, + 624692735, + 825189477, + 715272771, + 556408060, + 401207721, + 337386383, + 916549505, + 563513543, + 79951149, + 552089828, + 815068660, + 130738413, + 11673128, + 386126425, + 933528386, + 58175310, + 964007685, + 892528561, + 564738022, + 674705551, + 438209291, + 178102526, + 615044425, + 556943805, + 812673853, + 807368096, + 284142562, + 886263918, + 130311560, + 15890729, + 944567519, + 222452928, + 216414152, + 466215237, + 142021951, + 16708020, + 563449197, + 651349363, + 247087142, + 664239003, + 154194589, + 364609849, + 371122379, + 170254603, + 634904674, + 749839009, + 182497156, + 126840791, + 888781594, + 364322195, + 970994422, + 801257174, + 633513663, + 809688600, + 241600422, + 164467942, + 305190218, + 470914282, + 34861712, + 217859685, + 911379349, + 669307726, + 654280506, + 687427573, + 86894855, + 827724312, + 505143355, + 876224905, + 184027147, + 472225952, + 942661575, + 759292581, + 211679644, + 262274951, + 779460004, + 509335415, + 222788471, + 890122298, + 2485663, + 457665923, + 943755770, + 302538453, + 840242731, + 816058606, + 761123380, + 999309343, + 883258988, + 126298867, + 732641819, + 263165112, + 963564214, + 68520911, + 345626042, + 896294063, + 700530502, + 24099753, + 994019818, + 181983119, + 202853918, + 341250889, + 538910168, + 931148305, + 511343367, + 292780224, + 918370088, + 114772976, + 901218520, + 427136681, + 447266585, + 141521387, + 934492809, + 164704934, + 113228195, + 864807970, + 575177924, + 55857009, + 237638244, + 352920568, + 272892643, + 448511894, + 947639874, + 473477295, + 980573371, + 832876567, + 334488506, + 180502246, + 2667579, + 926665041, + 493853260, + 908430489, + 767168278, + 496559748, + 232989943, + 266544120, + 749282697, + 690366929, + 937139268, + 233068594, + 831929174, + 736739566, + 727045468, + 965773062, + 371713766, + 661706358, + 979640337, + 607841724, + 612573592, + 337131509, + 122530384, + 346218166, + 252738386, + 402912045, + 650099766, + 589424664, + 81672649, + 342581915, + 368197438, + 583738839, + 50024709, + 824583477, + 915916573, + 279240560, + 790247458, + 148060909, + 919816496, + 216976280, + 177696024, + 673713296, + 623364768, + 252499773, + 308706932, + 734633216, + 683751755, + 329116579, + 576084207, + 307699920, + 718036261, + 207495697, + 718824263, + 467510407, + 604823437, + 560787959, + 237520535, + 200288283, + 972596876, + 76041606, + 404206687, + 388291571, + 758236157, + 475568166, + 475269504, + 703208960, + 213125488, + 304925875, + 502024460, + 233120100, + 930681011, + 260235569, + 534784773, + 459685507, + 351343802, + 552396959, + 753404014, + 217165295, + 929798959, + 320628615, + 795057070, + 707534466, + 138166761, + 899116919, + 418097506, + 330595338, + 839062347, + 298487868, + 175306744, + 165776804, + 57775889, + 629015561, + 838168884, + 764475714, + 860993265, + 305178868, + 75508475, + 872411436, + 819931085, + 266973893, + 793306073, + 401603803, + 777150241, + 536363636, + 139947850, + 922371896, + 752902245, + 102256873, + 907289116, + 290881460, + 113101821, + 400500599, + 894313620, + 911494699, + 239336965, + 944458417, + 512154529, + 886405457, + 160329315, + 730082805, + 85485640, + 99262117, + 611245911, + 704135901, + 434894127, + 849356200, + 831961923, + 375123350, + 259481359, + 523297796, + 669473132, + 142420477, + 776309401, + 523684234, + 706139880, + 472202510, + 689611632, + 959583568, + 976517997, + 904880718, + 68276919, + 964232683, + 652509757, + 86329083, + 439739195, + 253834810, + 539377712, + 221754327, + 619743674, + 805569353, + 622923257, + 332163490, + 207568608, + 501753456, + 54831042, + 168242744, + 253588700, + 356703694, + 706830327, + 60964459, + 256051364, + 444735418, + 443350605, + 778741678, + 480965483, + 448239926, + 825414080, + 361418670, + 778509057, + 766004579, + 949666109, + 180237364, + 720493277, + 889353474, + 609610535, + 643973157, + 299202854, + 841892295, + 923691777, + 256096429, + 174952113, + 37460992, + 579635160, + 930008193, + 674772619, + 223516959, + 229232679, + 877028463, + 934688075, + 36673116, + 695967154, + 701633702, + 642075008, + 930139426, + 566911508, + 789317256, + 846376915, + 516290108, + 306063274, + 169921887, + 28663614, + 94398885, + 66035640, + 455852177, + 959317061, + 575941490, + 715419348, + 913017952, + 297555982, + 318473550, + 459066456, + 570968712, + 681546928, + 112548413, + 838295220, + 847734635, + 964279083, + 553568080, + 387997512, + 373410940, + 562825422, + 132025854, + 537333869, + 903874802, + 529750167, + 821765812, + 135162531, + 810993747, + 629049966, + 932315768, + 759525251, + 276365297, + 206587206, + 421837164, + 923536030, + 364735029, + 383830653, + 706426910, + 597353050, + 912534172, + 408520016, + 241381474, + 241959948, + 536939940, + 58809499, + 819547366, + 57143611, + 768468372, + 815771249, + 624232541, + 227518437, + 241975940, + 588806495, + 140319253, + 513104836, + 800619733, + 184823257, + 592576364, + 323451691, + 595372536, + 45330000, + 299675436, + 405134548, + 579137606, + 475131579, + 416297046, + 766734725, + 287540872, + 636347073, + 930603949, + 822285694, + 920249163, + 254442680, + 958829309, + 601831420, + 870720724, + 87291397, + 742381866, + 2228039, + 353775504, + 419403740, + 614699305, + 575177325, + 858031502, + 390153394, + 667231167, + 567415415, + 229643799, + 456195978, + 728795127, + 108203092, + 820895212, + 224531809, + 382719967, + 713011118, + 821354012, + 506570790, + 334414589, + 578416645, + 251787310, + 38547919, + 370034031, + 288451980, + 191857427, + 272695304, + 703941354, + 790194270, + 221349815, + 105621231, + 820066783, + 243458598, + 244395440, + 310989609, + 909875910, + 815092113, + 898862982, + 241159448, + 1296261, + 452049123, + 149478599, + 343661398, + 248083261, + 633418014, + 553161072, + 664630466, + 97610452, + 965474329, + 946391479, + 203230743, + 205961880, + 232915649, + 734262918, + 423821462, + 133643776, + 747079142, + 303219204, + 806389553, + 246554436, + 44527246, + 247570725, + 383841522, + 851527552, + 340236384, + 292862879, + 769897558, + 103663194, + 763486975, + 739692368, + 401500295, + 795508782, + 109523558, + 61633284, + 434619539, + 438516970, + 992915766, + 388568812, + 267489593, + 130757655, + 186140258, + 286667871, + 952323471, + 752237878, + 935848017, + 878307741, + 109018889, + 601394567, + 563482529, + 571999777, + 322626077, + 390909376, + 846096402, + 600190399, + 735143653, + 196835312, + 233498935, + 437596815, + 178633224, + 484556384, + 144762194, + 590861648, + 46661593, + 361771628, + 602207099, + 203561652, + 150419743, + 130284977, + 564834683, + 810698675, + 476041763, + 13636022, + 355284560, + 710289813, + 536185256, + 899216126, + 609060768, + 68988526, + 497756395, + 562852365, + 947561840, + 434860180, + 748728941, + 256552555, + 476843760, + 576388339, + 79097457, + 286291504, + 943030870, + 185050331, + 225573288, + 74761609, + 934719307, + 897073749, + 496878800, + 367622760, + 884236366, + 328496395, + 919260032, + 584022119, + 469228965, + 318167713, + 181561505, + 662284707, + 429180824, + 300203570, + 771659821, + 724977173, + 787883979, + 301894567, + 585785234, + 881804964, + 274799149, + 331230395, + 307487166, + 302843983, + 846587780, + 44447204, + 202469318, + 36206237, + 511684632, + 277516549, + 307472079, + 939080385, + 225766701, + 849930939, + 311384788, + 472394583, + 527915803, + 832195220, + 200077877, + 796096062, + 516491784, + 708719819, + 342934450, + 812498928, + 526206335, + 389347399, + 148204903, + 15454129, + 984873711, + 428957646, + 512757933, + 269747731, + 606281997, + 313802008, + 855946928, + 513112949, + 683315728, + 539858367, + 91354308, + 879165180, + 340090554, + 43228532, + 708742219, + 911530212, + 149971695, + 988428945, + 131583109, + 735401458, + 365829087, + 211828031, + 421143619, + 601238749, + 476819781, + 335582459, + 671069547, + 768184350, + 989155159, + 805870337, + 388145753, + 807171417, + 642895230, + 419971784, + 167123588, + 819677966, + 111163060, + 352757236, + 858616860, + 786441520, + 563078389, + 835716764, + 876846931, + 177740995, + 328312724, + 258150732, + 999457331, + 381137206, + 773002559, + 930941119, + 33331064, + 571808822, + 860224325, + 5169680, + 44572311, + 428506129, + 715544445, + 95366896, + 760678428, + 914902051, + 822799281, + 51839294, + 270529588, + 606751816, + 358002938, + 994201837, + 661340921, + 29504257, + 82806294, + 786556737, + 687179247, + 71880628, + 860013534, + 590758571, + 478196158, + 889139433, + 607486470, + 673083735, + 792292981, + 210148629, + 871020208, + 296988135, + 233098230, + 463974030, + 202080817, + 643689123, + 681727633, + 141195606, + 249765139, + 711030920, + 417679139, + 745849483, + 492218423, + 220908611, + 613301584, + 368211950, + 314933825, + 871266213, + 968142539, + 332040435, + 334231192, + 921237534, + 378894771, + 664142716, + 229317303, + 697854093, + 774119586, + 148802767, + 382102830, + 366670070, + 789535873, + 534122571, + 309711560, + 94011939, + 589926549, + 188834194, + 115535191, + 711162082, + 555925720, + 7002979, + 204269970, + 393755795, + 83598919, + 889087085, + 231054541, + 616367603, + 332172663, + 846354361, + 762904132, + 483978370, + 388053245, + 349375464, + 120420667, + 965019387, + 992698407, + 608212998, + 123029673, + 646705046, + 700986443, + 140089200, + 608882686, + 828866257, + 839379649, + 157327266, + 652885627, + 195294517, + 720232077, + 708097578, + 835011664, + 714642895, + 774567496, + 789382768, + 691386834, + 118687277, + 875135935, + 71172363, + 894427614, + 567968557, + 652801945, + 779084789, + 757904635, + 650130426, + 923491064, + 685599842, + 569616529, + 892586384, + 941009696, + 597647632, + 224218049, + 771556670, + 840143713, + 568434477, + 427421857, + 834610506, + 109965859, + 488724535, + 527432403, + 991424658, + 466773105, + 328668150, + 243222109, + 719929839, + 304734422, + 173288498, + 984566971, + 522176431, + 466762075, + 395098292, + 593833827, + 98854392, + 276443183, + 507344064, + 675117556, + 149691642, + 37771841, + 474639929, + 220141075, + 602080023, + 457835165, + 546781840, + 674934648, + 661852974, + 75086349, + 468540557, + 965844612, + 775126601, + 771689260, + 429699114, + 371626800, + 370841970, + 525603562, + 322408121, + 690021656, + 926277651, + 792721379, + 16272622, + 35485842, + 210387990, + 898597928, + 108645744, + 2122338, + 411426190, + 82592546, + 245267840, + 315012850, + 229946792, + 35764774, + 273148739, + 814845359, + 711749648, + 175399244, + 696448135, + 341232351, + 576764631, + 473822515, + 970752050, + 335225912, + 737781582, + 382496644, + 7594891, + 705643247, + 650504436, + 253528048, + 614337705, + 143988244, + 375320933, + 776355647, + 34118973, + 409615468, + 290052317, + 747616370, + 991319298, + 77343623, + 492351330, + 889219555, + 571052103, + 264197346, + 247410103, + 653749837, + 517908997, + 644968678, + 259191940, + 779786323, + 116813849, + 645593174, + 747223943, + 669162150, + 743898321, + 373779841, + 5589128, + 485343360, + 955151562, + 19124982, + 913191265, + 959180333, + 941395844, + 57177975, + 247733200, + 348242644, + 932809486, + 220801027, + 314342817, + 849078913, + 689837274, + 828320817, + 812512107, + 935871982, + 491117533, + 705969573, + 883338164, + 191921328, + 431054839, + 955886323, + 610036057, + 733194257, + 165461689, + 636722801, + 332074028, + 465750804, + 468435845, + 281400399, + 282961663, + 746820271, + 630074460, + 917511048, + 764910893, + 421072816, + 300235348, + 552676462, + 309288173, + 699634446, + 590918152, + 684936405, + 967946280, + 967174568, + 512619680, + 99143832, + 509732001, + 183734492, + 495372619, + 691135819, + 648986742, + 531741064, + 464867561, + 714753942, + 197139021, + 535870931, + 614757446, + 869709312, + 870406399, + 67617404, + 9532461, + 665321242, + 727950511, + 416493618, + 987460764, + 267632368, + 911455087, + 676717286, + 321418732, + 11414781, + 326943209, + 721435123, + 635384222, + 349346928, + 963909163, + 60519145, + 916205082, + 370407446, + 466782439, + 574824633, + 926709069, + 740768506, + 113442229, + 7099927, + 84276494, + 840923872, + 172624922, + 191484246, + 933722128, + 592540553, + 628852234, + 354826023, + 23853996, + 489562495, + 870293185, + 57272384, + 216692016, + 496486622, + 151222573, + 56892477, + 69034191, + 541218678, + 772923674, + 887714933, + 996255454, + 489434690, + 753229808, + 153655952, + 359026852, + 372931952, + 995642003, + 462555795, + 573333976, + 97599821, + 833230391, + 155796415, + 880422019, + 498213570, + 623747778, + 10257600, + 393879633, + 133079599, + 236923018, + 16209432, + 967195347, + 884797525, + 265378276, + 873268277, + 663377583, + 491378097, + 300579224, + 550160857, + 469099337, + 83868101, + 748082505, + 49856278, + 565885323, + 290601848, + 756941219, + 576053152, + 38689647, + 753409730, + 845067880, + 737596433, + 737716690, + 326247243, + 30917059, + 663643978, + 800967165, + 655075700, + 379185499, + 396183545, + 17045327, + 443155730, + 290198922, + 174686966, + 558767936, + 100406785, + 147259422, + 778019993, + 277061718, + 226951249, + 26011274, + 15131696, + 535899174, + 195883282, + 975962472, + 784007110, + 92945434, + 523330577, + 966222974, + 611528047, + 16453396, + 162138411, + 124157487, + 304154289, + 909044262, + 856171425, + 337183716, + 98122241, + 863543840, + 531080568, + 541100194, + 246561842, + 277479130, + 135229144, + 878675223, + 189501363, + 292224679, + 54657174, + 242082221, + 922715502, + 681909321, + 409630571, + 392113409, + 402072938, + 599517801, + 943374964, + 501999289, + 272167844, + 417319790, + 165328261, + 300527810, + 844672458, + 216509946, + 141248846, + 151663122, + 150795969, + 400378226, + 204280555, + 987794009, + 56750015, + 521960578, + 664746724, + 506197840, + 613830596, + 393932286, + 440269670, + 70201417, + 160493840, + 996595899, + 275357254, + 351930528, + 486991418, + 945286016, + 549429112, + 412112715, + 555782806, + 162316099, + 296837100, + 206012207, + 25357440, + 481480845, + 151977343, + 357652412, + 248345190, + 533804092, + 722314689, + 176960096, + 982616939, + 275331478, + 797803913, + 13590981, + 104029170, + 436774925, + 589004145, + 316468010, + 461980739, + 170244783, + 981474134, + 716620545, + 277327619, + 603363148, + 355457043, + 663178978, + 981669626, + 477396845, + 241670793, + 532933152, + 574585592, + 131785969, + 311376382, + 603434083, + 481091976, + 192072288, + 99957937, + 169751692, + 712626952, + 129418392, + 307211730, + 910058086, + 845955868, + 385565675, + 46699667, + 864248098, + 551437871, + 197447398, + 966503550, + 217043248, + 413667088, + 895134918, + 656726631, + 957185869, + 951787169, + 143911377, + 905649549, + 978293390, + 238054220, + 924931296, + 594201964, + 716282060, + 77895784, + 725070524, + 159931695, + 628579595, + 469318889, + 455314685, + 12780779, + 652005745, + 831500225, + 716871523, + 568703431, + 341115995, + 612982744, + 317635473, + 480886618, + 881743556, + 987465115, + 299557621, + 166997973, + 497051603, + 517146577, + 337993194, + 263795916, + 220726857, + 954944514, + 727356457, + 160869937, + 742894002, + 484894289, + 873105749, + 264300683, + 470101030, + 828410616, + 649834954, + 131310764, + 708815372, + 340464412, + 284525032, + 948060390, + 718750297, + 608238287, + 819121332, + 690457673, + 442092316, + 311572830, + 889430496, + 605093391, + 150639231, + 458908945, + 77062919, + 160065624, + 538556792, + 425544731, + 883991837, + 497783498, + 255807027, + 311584357, + 501770813, + 269053359, + 970462178, + 726903766, + 775357828, + 36082331, + 325059679, + 182992512, + 255348018, + 696651389, + 617717502, + 346072263, + 720856940, + 562149168, + 197332779, + 402881934, + 114039203, + 678561105, + 955531152, + 846893828, + 111671648, + 833589533, + 275772851, + 561794370, + 302337714, + 75522716, + 652442405, + 759656840, + 670438152, + 875738200, + 717154166, + 88492204, + 360820963, + 731214487, + 826149847, + 60136248, + 492581032, + 48401069, + 582886153, + 746082421, + 628459051, + 301513073, + 964931427, + 943822349, + 881602448, + 471077261, + 899039051, + 537271100, + 125285514, + 364863463, + 304738885, + 810734949, + 217525536, + 622262443, + 298060722, + 255484731, + 77270943, + 903089531, + 369231310, + 76156529, + 740081942, + 414904814, + 780670037, + 347410204, + 590085941, + 111809332, + 163678961, + 762224814, + 456650521, + 512545263, + 248460257, + 924684394, + 135093636, + 305759105, + 792431560, + 297965023, + 73160054, + 60953215, + 356429391, + 838476535, + 769244685, + 819076971, + 355140181, + 989750865, + 60697465, + 238913001, + 171875699, + 715041701, + 129116169, + 914905188, + 444205677, + 538507012, + 894534372, + 726501558, + 746750356, + 463645596, + 447093311, + 955572002, + 303904900, + 820498411, + 614198317, + 299601807, + 672475985, + 178329893, + 386898082, + 507951567, + 90565613, + 408052189, + 206031063, + 735769477, + 512330187, + 658469434, + 988204162, + 360136538, + 857806660, + 8455218, + 725382235, + 423369085, + 174745676, + 391247427, + 659798470, + 481576274, + 721609002, + 696155145, + 134764146, + 543546156, + 981562542, + 112395501, + 949402400, + 675883947, + 309908241, + 212495333, + 347638318, + 441209541, + 429208245, + 810701423, + 905161622, + 338946563, + 285410195, + 177610725, + 349822007, + 384801457, + 71583996, + 679740398, + 992348606, + 624275578, + 970495818, + 202958244, + 549899989, + 355193618, + 891539908, + 380565576, + 485567079, + 786777132, + 175571018, + 350228502, + 186642900, + 670911587, + 623604626, + 35961283, + 197941849, + 444438724, + 651175756, + 365739718, + 853779461, + 15479468, + 343423745, + 408758931, + 270847298, + 115704228, + 441298396, + 856469504, + 711561693, + 754271585, + 23230733, + 603922514, + 790928213, + 172902891, + 790489409, + 288302827, + 496632360, + 127693902, + 139212275, + 856095775, + 578240697, + 830556423, + 211371312, + 216137333, + 574601624, + 643039625, + 47447139, + 451853615, + 526473527, + 324910681, + 833191106, + 940216557, + 256952189, + 438936023, + 118832893, + 866666735, + 692895981, + 202717367, + 838461080, + 793432999, + 333566924, + 142056040, + 500648794, + 394128810, + 683669364, + 625600654, + 116238339, + 250517781, + 182900485, + 427175538, + 684114567, + 54652850, + 517991841, + 208053068, + 321004655, + 869524981, + 503126253, + 15557551, + 986350531, + 172638625, + 462310546, + 692730350, + 830874415, + 538007466, + 467568665, + 688214734, + 35635582, + 910572150, + 551848542, + 737790899, + 314129203, + 848213256, + 795562662, + 890237924, + 144281277, + 959918406, + 326788360, + 516676508, + 127183260, + 129295268, + 14861176, + 849229381, + 278317776, + 588361935, + 739228600, + 458668599, + 921049505, + 89684662, + 305769415, + 952522839, + 174783528, + 108113333, + 200231713, + 752854707, + 875611991, + 562106566, + 884732125, + 84445640, + 773011082, + 311306365, + 285960302, + 243351270, + 444429032, + 612119425, + 605613360, + 148132650, + 727859972, + 775426506, + 218757739, + 965869805, + 186283139, + 265651912, + 552284647, + 531621238, + 308091299, + 285858091, + 496561622, + 356903067, + 105598590, + 834172098, + 337784026, + 184429501, + 103680041, + 260411022, + 866912870, + 268222471, + 882691939, + 885800129, + 216761758, + 720517285, + 471827117, + 503656485, + 379784579, + 193611947, + 230617499, + 393598069, + 147872704, + 47832212, + 795154177, + 334416484, + 812608691, + 880233927, + 318271661, + 389366914, + 825446723, + 846128679, + 786364948, + 146390401, + 359052760, + 658841513, + 188786748, + 193229739, + 317841406, + 397940755, + 779133883, + 433548372, + 63169169, + 68198992, + 347732960, + 895531743, + 340262530, + 883829645, + 577687667, + 809082901, + 974856984, + 147195649, + 211503847, + 964963305, + 326018069, + 666639000, + 731789399, + 402456596, + 136500214, + 866543620, + 509551470, + 382859698, + 420308931, + 65053306, + 860155374, + 587342532, + 141352738, + 85276281, + 364810473, + 943359649, + 903331516, + 664664903, + 72762453, + 233735741, + 621234292, + 889690254, + 761570973, + 351172749, + 983178971, + 687758375, + 761151584, + 197501459, + 809638294, + 326961600, + 920557209, + 292709367, + 89133171, + 857600178, + 57601131, + 846460825, + 51023366, + 655520080, + 922782738, + 399704722, + 617942162, + 960947717, + 429122176, + 97534186, + 186054681, + 343987988, + 705646722, + 309696483, + 235932081, + 493382332, + 726182976, + 318921176, + 354494666, + 738291736, + 888761660, + 697356338, + 584807198, + 266813260, + 975682510, + 866908729, + 240093246, + 859579902, + 419350290, + 723804590, + 248681241, + 815836032, + 510995374, + 531738829, + 7294828, + 708931767, + 471288353, + 275554581, + 618558978, + 816952183, + 187278273, + 749390099, + 703631527, + 604621831, + 429506151, + 154142891, + 302263749, + 611545796, + 846996636, + 43594794, + 801839565, + 921413438, + 525828007, + 122589475, + 176277933, + 903890452, + 799404702, + 308100551, + 150631897, + 305282410, + 810160102, + 19465048, + 395391701, + 311613343, + 648529542, + 629343567, + 718329806, + 559516352, + 357111461, + 274287963, + 8396295, + 725989407, + 327415991, + 190099864, + 105927111, + 377603136, + 450288513, + 133656877, + 500766126, + 851238139, + 884020449, + 325151013, + 743169062, + 902497773, + 652079030, + 668378518, + 368995896, + 386607899, + 691214199, + 346704290, + 647945835, + 161377006, + 924157048, + 474027284, + 96591334, + 459468867, + 319762330, + 829990219, + 582794329, + 720027533, + 542448290, + 712524913, + 317718028, + 409626144, + 566929994, + 154869526, + 762725987, + 114903451, + 34519031, + 230779239, + 273692280, + 500305727, + 245412385, + 946397573, + 52926862, + 178810396, + 626767046, + 179518163, + 23796736, + 111524030, + 400570064, + 179070689, + 543990876, + 844081156, + 274898140, + 973996279, + 701255714, + 277361320, + 287179620, + 782401892, + 646999208, + 110750671, + 495036513, + 537220560, + 508259917, + 70677560, + 256037934, + 159185267, + 568087093, + 885847818, + 696253671, + 304208261, + 822676334, + 317873669, + 940468425, + 994816474, + 684051003, + 67601297, + 401219950, + 261683736, + 245892788, + 782852866, + 171908151, + 951625960, + 45067575, + 174071999, + 553856152, + 524671144, + 579325786, + 76781989, + 198115961, + 754188767, + 516706797, + 433475716, + 757620603, + 121182807, + 214891664, + 783574129, + 848486995, + 776850156, + 552864948, + 702330954, + 559557619, + 349584080, + 232934983, + 604905862, + 908307233, + 357069126, + 439021576, + 785155835, + 464802891, + 947499991, + 935236956, + 921709856, + 557576206, + 459424110, + 874578471, + 538500711, + 404985096, + 961299571, + 662645529, + 187108129, + 707013682, + 564861756, + 139054917, + 254934715, + 108146740, + 332654662, + 618218064, + 326797180, + 446502064, + 635943360, + 242264112, + 624446528, + 419804928, + 657372576, + 496590563, + 487422112, + 520487459, + 65002759, + 954926411, + 420739264, + 4629750, + 307770915, + 76050249, + 178083942, + 613797993, + 905776840, + 595481503, + 403495519, + 537391643, + 196618850, + 555136813, + 623974333, + 788305609, + 156975859, + 496600549, + 696842923, + 212423308, + 186174568, + 455889854, + 824159707, + 877694475, + 87778188, + 592755245, + 325440794, + 700036990, + 34435983, + 100302179, + 445082027, + 763969412, + 647203902, + 900999318, + 780639300, + 605114802, + 679171390, + 735548210, + 732261499, + 161093461, + 686410673, + 413103646, + 728683711, + 536976503, + 381454765, + 565448107, + 718075155, + 778796721, + 637835073, + 800609433, + 452390068, + 761330317, + 312139148, + 888760704, + 678280849, + 308320574, + 49932207, + 483223159, + 588307426, + 893664014, + 517592341, + 530807511, + 285954986, + 468545089, + 689707523, + 800292117, + 772152244, + 7990946, + 891084183, + 129210434, + 951134505, + 819426818, + 500608988, + 955321609, + 514431922, + 463864482, + 629546791, + 181577976, + 271996530, + 535077051, + 229462337, + 478501101, + 345534216, + 465204493, + 583777110, + 717878463, + 292950875, + 244663870, + 768202612, + 39017386, + 321258634, + 318946714, + 180481276, + 895538835, + 397071999, + 667920254, + 411635159, + 875946097, + 747823292, + 261573979, + 323812523, + 301870962, + 556806316, + 261836318, + 208149186, + 370451018, + 319893586, + 869934944, + 481834746, + 584462390, + 425569080, + 222748252, + 198928317, + 285395565, + 229135683, + 507914373, + 351151814, + 855402136, + 691906968, + 426792279, + 384295637, + 815344288, + 299476620, + 621787210, + 72688715, + 573638719, + 118159492, + 813317062, + 994846028, + 4518752, + 798829121, + 765741657, + 16192504, + 602114207, + 216799126, + 958166645, + 31378869, + 959813391, + 38799008, + 555998006, + 497116372, + 27872651, + 800158934, + 667857678, + 982254864, + 635789645, + 168248783, + 417541716, + 121571114, + 124069427, + 436448702, + 714468125, + 695824381, + 238411132, + 362919883, + 845521108, + 642908282, + 369896308, + 795794078, + 600607153, + 170322601, + 37316977, + 499898838, + 926569982, + 990917842, + 469875189, + 104152639, + 99860091, + 279168211, + 935503027, + 368338079, + 330131944, + 475639669, + 948780662, + 847346418, + 579235732, + 124880009, + 530392900, + 795897982, + 768824022, + 954123240, + 462406279, + 924424797, + 271196728, + 503132798, + 112346724, + 118022598, + 203211167, + 307096610, + 570181950, + 614159128, + 867605898, + 410742420, + 314167217, + 361318670, + 899673072, + 398413446, + 822289399, + 225042271, + 111860077, + 898337153, + 39966731, + 945479122, + 660408043, + 845059975, + 143399043, + 806008074, + 413451096, + 414416193, + 882411200, + 16467106, + 790011171, + 226695776, + 725643439, + 40797494, + 150773881, + 983952594, + 604341536, + 730296585, + 462680154, + 251211854, + 290187860, + 799818218, + 906571088, + 254653050, + 675372550, + 22801816, + 126530220, + 14992927, + 112264564, + 197089011, + 172244655, + 614451555, + 768365014, + 910822113, + 992760204, + 129105921, + 430226591, + 897497459, + 931249745, + 396653738, + 422624723, + 984091384, + 987436359, + 341613038, + 580252753, + 783511148, + 757908942, + 978700651, + 927146214, + 584752419, + 673605257, + 657736746, + 324743661, + 976406808, + 359282989, + 427280636, + 179512188, + 909630560, + 754288656, + 188828236, + 606197728, + 758084015, + 663095475, + 934501590, + 927520701, + 900522789, + 330291429, + 503860088, + 399510835, + 307728662, + 173252641, + 190927166, + 533564841, + 701766501, + 844110625, + 148396215, + 861656275, + 661961990, + 64951157, + 991494201, + 233129004, + 193781672, + 968119667, + 875042747, + 617016784, + 480017654, + 478798824, + 141272492, + 745543379, + 69825142, + 415018371, + 381816417, + 368776100, + 159288793, + 888985412, + 25290786, + 209986561, + 574212323, + 959608734, + 995090267, + 818328775, + 673706716, + 658366558, + 758679706, + 458933821, + 461397169, + 972451593, + 761393454, + 916773126, + 220517251, + 225025006, + 283461914, + 555531728, + 809655698, + 508845674, + 429550590, + 427426595, + 945744151, + 593790337, + 188549867, + 476709000, + 51051831, + 798837119, + 572177077, + 925240360, + 335418319, + 131390798, + 99192267, + 758080151, + 207985688, + 563466124, + 131095658, + 342935963, + 978176437, + 470369552, + 299131973, + 801073091, + 776822740, + 456306989, + 628620799, + 820493540, + 787041232, + 6243147, + 234409988, + 950735830, + 628679782, + 469878802, + 72828184, + 641006927, + 145431804, + 602398804, + 998999125, + 458603689, + 337191743, + 208454223, + 425335525, + 486375173, + 989392470, + 528634601, + 194727811, + 448152245, + 946919045, + 757048922, + 521692152, + 338281894, + 892459725, + 424895829, + 333941973, + 473741293, + 247440605, + 40670577, + 692498579, + 18670188, + 653396756, + 423016873, + 801403100, + 956227446, + 636510628, + 768939005, + 278377353, + 716953529, + 191407110, + 91905230, + 172073469, + 347664546, + 272555482, + 753808787, + 451551423, + 832087710, + 443615580, + 520424033, + 776052281, + 607462583, + 724575925, + 317633901, + 812609719, + 2123362, + 27338353, + 536282733, + 556556246, + 793860415, + 71892544, + 408921483, + 490926112, + 290977205, + 139922581, + 942851221, + 485979213, + 425565270, + 498526273, + 477252590, + 735288530, + 320511031, + 643534400, + 948761843, + 6062060, + 338082334, + 253569001, + 69953406, + 746691762, + 155047173, + 633969955, + 867499129, + 75974374, + 664091355, + 343328002, + 829788132, + 127356930, + 945528225, + 930054458, + 189130372, + 69641007, + 633813815, + 372877113, + 422463142, + 159493494, + 662290207, + 582961340, + 259523895, + 265534659, + 947062497, + 39193004, + 169607885, + 798633839, + 572503040, + 59268612, + 83391474, + 879046339, + 214542828, + 501727947, + 59607806, + 840194374, + 793431503, + 507318085, + 536940569, + 615228298, + 813658951, + 711058619, + 678188919, + 996405125, + 537014986, + 864962841, + 865219172, + 926127086, + 351716147, + 5532763, + 599119923, + 104044892, + 863462685, + 59128067, + 650009465, + 469558120, + 730585965, + 826619064, + 125531271, + 508194600, + 629206389, + 93682068, + 929897225, + 503854469, + 694922612, + 723810797, + 504102898, + 457409913, + 875128004, + 886435398, + 994570782, + 547788137, + 544245401, + 792116850, + 934845653, + 224117300, + 409765727, + 232696031, + 970537147, + 885716035, + 257918310, + 21766258, + 440238376, + 585103, + 175180772, + 961001575, + 217336654, + 750104600, + 663067202, + 593124946, + 702360918, + 205878464, + 675604149, + 624848659, + 37621198, + 353523419, + 44604915, + 414411983, + 822466911, + 284229964, + 693200442, + 201085636, + 66652553, + 678600220, + 857513784, + 265681564, + 2634919, + 830262353, + 419942391, + 518243928, + 973816995, + 508762293, + 915895590, + 955592045, + 647055065, + 397133921, + 18404091, + 318704917, + 234618765, + 414279541, + 338562826, + 172562464, + 751637284, + 404663270, + 411900230, + 697542074, + 500432460, + 446304358, + 843049679, + 127682874, + 688213872, + 718669293, + 573669660, + 139164543, + 940154519, + 711262562, + 359787702, + 281862412, + 171028332, + 513025326, + 680936782, + 5840703, + 540144934, + 205943106, + 875660770, + 966797941, + 140616484, + 363784210, + 692978019, + 746911363, + 973865916, + 21801190, + 437893652, + 171042937, + 304330193, + 120141866, + 312031003, + 604213879, + 186753555, + 443861318, + 260166074, + 878561332, + 378505876, + 545709446, + 526078568, + 542512918, + 764011468, + 740588089, + 127430507, + 748464746, + 128475758, + 628497294, + 567766730, + 763651187, + 520372201, + 918350055, + 122606408, + 996516682, + 343718057, + 243224024, + 530779607, + 816268678, + 155627972, + 469029077, + 590312590, + 955278863, + 464546808, + 750730596, + 981183498, + 372919482, + 178917821, + 983361403, + 669249557, + 530656676, + 542347487, + 300382153, + 640703376, + 862693477, + 915807583, + 754319238, + 667931297, + 277695713, + 567509215, + 304775440, + 156804645, + 748620999, + 96842103, + 395624317, + 877820303, + 352429059, + 963328853, + 596971381, + 334477253, + 542714249, + 149069517, + 18922218, + 725596522, + 195552591, + 77586151, + 574212434, + 487673267, + 400189355, + 602993115, + 42068555, + 333323319, + 724609620, + 92001005, + 849146586, + 912888814, + 117718205, + 418477790, + 916351977, + 860568965, + 989748234, + 588527144, + 762189401, + 662701463, + 395672053, + 301918579, + 566820522, + 148782127, + 72278525, + 330759668, + 846810129, + 842230373, + 97869517, + 593999050, + 761648581, + 94611834, + 747092268, + 369346441, + 367912108, + 329416244, + 247606616, + 616608785, + 325832252, + 349374731, + 991740801, + 842111329, + 662880403, + 623283953, + 92052232, + 27096275, + 727899619, + 173471258, + 42210095, + 393821421, + 437672781, + 975131583, + 170427152, + 126579046, + 974766557, + 846276687, + 776250462, + 577975466, + 86805397, + 147274409, + 661951435, + 920700474, + 185920969, + 881524519, + 232349359, + 32094884, + 629279004, + 724170033, + 321859424, + 561341086, + 832264344, + 941690320, + 884457614, + 215014820, + 48778200, + 38317258, + 430264388, + 247498361, + 660811849, + 731699823, + 468608115, + 122680988, + 996623292, + 448138703, + 921259446, + 170588224, + 426518798, + 740754664, + 146092905, + 774532843, + 999598186, + 228862194, + 728701430, + 709041649, + 451448124, + 12673110, + 398077222, + 10145558, + 574000842, + 307962802, + 164633735, + 674594144, + 737643842, + 483477931, + 89231851, + 419530854, + 945206210, + 810942446, + 227845366, + 279357143, + 85522573, + 672232296, + 273864431, + 582784037, + 458572422, + 230471286, + 842313932, + 492004802, + 84349535, + 688251683, + 75533206, + 221111379, + 392875447, + 960730521, + 904367201, + 31061810, + 163296581, + 950873878, + 725153848, + 34762116, + 671222165, + 421995968, + 849169075, + 618703, + 186087838, + 20310161, + 922578010, + 566849685, + 706955468, + 502341830, + 423849812, + 117956418, + 812811910, + 977188191, + 490623796, + 896035879, + 953758371, + 20300728, + 492115445, + 143626011, + 523202449, + 501639598, + 780326204, + 657805533, + 136989631, + 68057135, + 709013701, + 497984592, + 291850040, + 874372123, + 758688953, + 421531785, + 932379707, + 139446219, + 734803972, + 968566756, + 556417757, + 5463962, + 46411771, + 341517340, + 989855559, + 399889963, + 12508339, + 455826521, + 95298546, + 345834111, + 595281212, + 334367367, + 863876879, + 991293576, + 879939102, + 976284344, + 327078879, + 641312125, + 302125856, + 634283529, + 687025996, + 577241716, + 686084243, + 408475343, + 883194009, + 457590867, + 712527060, + 776312645, + 371182687, + 655550945, + 904302794, + 848856568, + 177566205, + 452421150, + 792891423, + 502564371, + 12889411, + 672824632, + 536746953, + 948121097, + 456829368, + 63791442, + 288392371, + 965655874, + 289551684, + 807489352, + 638193304, + 833786542, + 88939464, + 499826737, + 382636595, + 267970667, + 728557945, + 387542058, + 251870225, + 366082874, + 364439185, + 609281689, + 995299790, + 879469353, + 750492966, + 851180596, + 800537934, + 438221990, + 702619853, + 769710889, + 543253597, + 481424686, + 904952991, + 397822114, + 654196327, + 609656351, + 618809948, + 92345007, + 996960062, + 430542233, + 274110731, + 443261276, + 78953965, + 521766202, + 449397073, + 908735073, + 150108952, + 884455242, + 678736953, + 47316804, + 372658521, + 431370285, + 362278592, + 426954851, + 216869521, + 404442097, + 467814045, + 591484208, + 758169339, + 745515792, + 545531735, + 409355490, + 547694681, + 363879947, + 857024914, + 839823687, + 577714911, + 602666929, + 789701545, + 662097372, + 590304211, + 488943070, + 782049498, + 930522465, + 528568704, + 591409651, + 374185178, + 854180997, + 896823216, + 262625983, + 468893523, + 303729596, + 559170176, + 490341118, + 163740787, + 372403262, + 793491979, + 139993592, + 918225282, + 756453821, + 815732063, + 909032269, + 25113064, + 891333392, + 159127127, + 1166393, + 840245859, + 414020533, + 872426908, + 141314563, + 599041324, + 180593413, + 550974040, + 136434290, + 347624591, + 865955613, + 576917179, + 694539698, + 767459286, + 630089274, + 840961655, + 467525953, + 311803922, + 641187733, + 894988761, + 981966925, + 692981462, + 528350338, + 511788360, + 686673388, + 496634318, + 772298426, + 956085350, + 235110236, + 927824853, + 313660530, + 545523335, + 369114990, + 747756670, + 189413897, + 449317398, + 573911904, + 279377462, + 473420217, + 643309154, + 414783725, + 164413347, + 766472341, + 375564352, + 3070629, + 783875228, + 409896611, + 620724521, + 717720069, + 105232794, + 152674724, + 497805196, + 524588767, + 464225067, + 970217473, + 27051937, + 829336033, + 530677974, + 77942200, + 200871418, + 918048605, + 116441112, + 842100203, + 682209119, + 796679807, + 551970413, + 292813998, + 496884177, + 228168826, + 9002, + 383761188, + 513332114, + 913591088, + 356842389, + 455309386, + 887256484, + 148048177, + 184943520, + 141366146, + 761916048, + 721320700, + 461241056, + 243950689, + 627919217, + 496343154, + 444789023, + 445794174, + 311082572, + 730964663, + 577240561, + 557284531, + 347120217, + 572751935, + 4921833, + 550731064, + 221923920, + 496648484, + 87553845, + 385255773, + 356147595, + 272202509, + 780854366, + 618502161, + 39069566, + 448268177, + 829110970, + 812097036, + 753466775, + 109630295, + 798328618, + 303059905, + 239205094, + 284656879, + 249367507, + 608231062, + 195847211, + 781017573, + 253165658, + 364562267, + 623126018, + 895615591, + 487970847, + 697707141, + 170265960, + 885068400, + 893254717, + 559726357, + 1625722, + 191849768, + 86403235, + 944948865, + 711287377, + 509372874, + 185075115, + 263250385, + 754380540, + 744979383, + 48338350, + 477748441, + 74163673, + 554244567, + 744001177, + 491204009, + 499167714, + 275080218, + 42811197, + 127401543, + 291964823, + 435802911, + 185924818, + 851621651, + 731399711, + 90274020, + 51651798, + 942737439, + 681779844, + 500067834, + 997289118, + 808878014, + 720550440, + 407688098, + 90088994, + 239063903, + 872579987, + 349566142, + 658303479, + 966234619, + 597640461, + 543582196, + 465551875, + 339429028, + 976633173, + 939276382, + 803128839, + 363687141, + 302126418, + 215903652, + 523858361, + 456141849, + 462360439, + 270365611, + 902323608, + 445521165, + 149947423, + 487001555, + 685945721, + 806614383, + 145709319, + 736237874, + 23114099, + 271897495, + 190128443, + 727457086, + 555390860, + 121482675, + 533558919, + 952750520, + 469122751, + 934969770, + 491308568, + 705394374, + 892220170, + 108141040, + 294173749, + 901700058, + 871271319, + 824412339, + 337978955, + 24394837, + 753634970, + 152819050, + 845039934, + 807180174, + 323303595, + 504170844, + 543650945, + 270297895, + 193028536, + 372658885, + 195277657, + 205676421, + 458111431, + 771677452, + 577712004, + 49159036, + 460373024, + 719279543, + 798868864, + 146605061, + 822525096, + 14472305, + 822619403, + 563945019, + 346501367, + 601868326, + 553246801, + 639400837, + 640347548, + 442234200, + 466561620, + 150968772, + 955125415, + 622490706, + 676473055, + 303332390, + 293535747, + 933557448, + 599965471, + 211034719, + 75069761, + 699038114, + 832590975, + 452150111, + 853147935, + 992377657, + 700993901, + 307082110, + 544751495, + 716508988, + 419366757, + 682063811, + 371970282, + 175535122, + 874395662, + 17655787, + 832206554, + 78031515, + 964041370, + 142723098, + 699620165, + 544828487, + 486760567, + 893112412, + 225584953, + 284461527, + 522313086, + 615269937, + 20352993, + 998736261, + 856470927, + 64219025, + 732735432, + 642080958, + 640073139, + 317465248, + 221688300, + 469219361, + 957972089, + 85933514, + 309735718, + 911102816, + 919907858, + 115070615, + 31178058, + 809167645, + 361874744, + 716383781, + 480809679, + 386923615, + 702025629, + 167320151, + 310824358, + 996494116, + 383543104, + 546923513, + 266944815, + 290868920, + 517845663, + 479200236, + 401992149, + 110210030, + 552607676, + 416810290, + 722059195, + 787209513, + 454211899, + 319759993, + 674575966, + 25092225, + 87974530, + 655701461, + 593224292, + 258675015, + 209081994, + 894771806, + 87051924, + 290039463, + 507171741, + 352715725, + 159428593, + 186398754, + 495212279, + 779470533, + 300707805, + 234460664, + 727204214, + 130037421, + 882959932, + 758321565, + 630000930, + 826034847, + 100529471, + 629418312, + 572432275, + 440918324, + 539272300, + 331939506, + 501178961, + 745971046, + 942123480, + 747654398, + 252648179, + 902643569, + 308451146, + 961635599, + 117343205, + 337324300, + 259762997, + 772600192, + 153682409, + 880015690, + 893690754, + 95232546, + 266759478, + 176918940, + 246275248, + 658271850, + 186293453, + 705672649, + 263683978, + 626051807, + 467188187, + 755849838, + 902633748, + 284720267, + 119406929, + 589176202, + 565836626, + 169210125, + 914694063, + 27087277, + 904342663, + 896243485, + 392325398, + 869953005, + 540760968, + 783881365, + 862921147, + 683359121, + 962570141, + 993364908, + 536976461, + 218326330, + 557688875, + 748497088, + 743017227, + 49996398, + 990968603, + 182370275, + 594366378, + 331019805, + 428954271, + 981533720, + 998669756, + 324620898, + 422336972, + 257057593, + 205141622, + 823122865, + 956147916, + 560168918, + 473936456, + 904993326, + 488784121, + 301860067, + 625218397, + 962960254, + 72667017, + 494867512, + 643134705, + 908909256, + 843385977, + 376213047, + 820918674, + 155902114, + 340807960, + 113102222, + 523850777, + 920655438, + 574264621, + 721748374, + 716844176, + 457106805, + 549174571, + 586595665, + 260751247, + 99869410, + 64967688, + 170386860, + 945605958, + 2915646, + 738266814, + 496235126, + 660365807, + 797254075, + 247375808, + 83189665, + 515785932, + 742330380, + 854999632, + 931217773, + 106218651, + 51171932, + 79122323, + 34616279, + 778602816, + 38340453, + 848723342, + 907765499, + 426598038, + 818669292, + 437852841, + 641524398, + 618285238, + 382443397, + 509513851, + 447373631, + 85109722, + 213516420, + 287187410, + 771249058, + 656683894, + 552769153, + 411178129, + 170283963, + 236503713, + 811999692, + 293138810, + 848704297, + 571967652, + 225851700, + 789302443, + 278377369, + 55089922, + 524984109, + 427848608, + 490227808, + 128866594, + 769035968, + 930770487, + 257675443, + 298729820, + 350534085, + 295903782, + 117467621, + 873468370, + 900277207, + 357735603, + 672529134, + 918404338, + 67333850, + 911697447, + 837324141, + 32987125, + 477107079, + 872857954, + 728787683, + 602294721, + 241923443, + 852271160, + 279305574, + 61326840, + 811129267, + 246988302, + 92847434, + 407860813, + 283304568, + 113096657, + 359089795, + 896667524, + 50395879, + 120164435, + 785671334, + 720469839, + 29754442, + 750142462, + 118461623, + 221555599, + 51579543, + 553279296, + 864881889, + 857743765, + 811495702, + 115036409, + 721050568, + 632058297, + 248472613, + 248313994, + 556099364, + 675399271, + 733738264, + 650146153, + 823912111, + 544669965, + 78239247, + 94364951, + 888401524, + 123996681, + 558421372, + 604797640, + 795804512, + 454745770, + 87281718, + 713762860, + 128151714, + 307660553, + 761349882, + 686412703, + 25200201, + 57527945, + 66281162, + 127406537, + 164259536, + 407793240, + 805317675, + 874195984, + 599920498, + 230744498, + 150849751, + 46962750, + 785895519, + 223072980, + 502484905, + 871896324, + 25570927, + 90644733, + 550595474, + 331869624, + 362997251, + 626292815, + 796979405, + 253724420, + 175250430, + 236373374, + 939118812, + 783385614, + 617935164, + 345998203, + 675008799, + 879167502, + 207307221, + 341267643, + 474317959, + 484214276, + 677276874, + 214765600, + 162189579, + 666508096, + 288176750, + 951645052, + 248768513, + 290891530, + 912639250, + 117183593, + 964139787, + 330721584, + 107568697, + 79586558, + 177305256, + 492490449, + 82667534, + 879083243, + 235588250, + 348038932, + 109488160, + 676706706, + 377998612, + 564634646, + 567730182, + 239885339, + 642627798, + 866781427, + 452001806, + 416563953, + 123510513, + 212551691, + 382351088, + 842106733, + 551745212, + 177421195, + 555406372, + 798234763, + 663878793, + 620921762, + 795864421, + 880032894, + 44381369, + 19975347, + 121616413, + 758251504, + 172223215, + 389952527, + 409879132, + 887986114, + 505659008, + 721058070, + 42418411, + 736869077, + 755403688, + 970632666, + 906530692, + 398649991, + 39768877, + 21591863, + 314430225, + 950596894, + 584739521, + 293754949, + 566589556, + 863419433, + 98086370, + 410910778, + 674511838, + 557950069, + 153171618, + 451214835, + 946172638, + 483605291, + 941441799, + 830668948, + 381506259, + 550538814, + 934551268, + 95435329, + 344808081, + 14397811, + 631152940, + 281594650, + 761716086, + 617646974, + 474524945, + 131168378, + 418869157, + 804522082, + 548804490, + 59483564, + 696576852, + 288068411, + 827821, + 340371111, + 103482864, + 652972291, + 211771275, + 828376763, + 284256111, + 270964189, + 173489491, + 956489270, + 481662032, + 579351483, + 26499681, + 749038880, + 734188304, + 551072551, + 923958103, + 487405309, + 598958747, + 313354043, + 442854807, + 348805306, + 408244560, + 940915858, + 557713163, + 735365586, + 802402329, + 693450653, + 435181457, + 192256430, + 243158623, + 923696962, + 539951334, + 751580904, + 879217608, + 148859772, + 928162926, + 348487723, + 453346500, + 265954316, + 153692291, + 586855476, + 873795937, + 315595392, + 683110827, + 150406926, + 68609308, + 859989796, + 36062431, + 118016838, + 516267916, + 751436649, + 531973380, + 708293748, + 862623012, + 687119256, + 299060494, + 665064111, + 449743174, + 384920207, + 210687345, + 279685575, + 632824075, + 981323839, + 736849445, + 929213759, + 931124089, + 627625020, + 504334589, + 663535492, + 332513200, + 90241144, + 348938537, + 936694387, + 469595529, + 589409476, + 611533102, + 177047815, + 259418737, + 206915403, + 788703518, + 237631503, + 328527492, + 332886237, + 208258966, + 475568666, + 367149003, + 47280511, + 745508534, + 395204189, + 301858471, + 74941891, + 609374951, + 640516019, + 804974838, + 944011773, + 977949257, + 867863831, + 662435172, + 25002908, + 984433969, + 651171458, + 680042261, + 308491114, + 792304972, + 877840026, + 212163272, + 624573832, + 225444674, + 736834575, + 297592630, + 163249895, + 866801280, + 673600643, + 668149643, + 730097564, + 870604351, + 23028511, + 326701115, + 801693710, + 620185204, + 598629248, + 510299550, + 773077218, + 292294698, + 825415848, + 42952968, + 464518246, + 221993879, + 845045871, + 864108824, + 917410073, + 890221131, + 376969467, + 587603135, + 548146119, + 492748216, + 227484187, + 925724008, + 264203574, + 119367923, + 409642187, + 920034397, + 224044508, + 75103657, + 528504116, + 263007961, + 244760518, + 31060442, + 602872839, + 101544490, + 220737007, + 534642351, + 507584900, + 545711974, + 951619010, + 450732023, + 736293985, + 497186547, + 693795481, + 388597647, + 541993474, + 593172412, + 424481725, + 986986960, + 813723136, + 317811654, + 390089347, + 424312192, + 18389420, + 414751865, + 247872031, + 472378444, + 30106405, + 819092800, + 877672426, + 271152285, + 244873466, + 193675075, + 39504709, + 93020264, + 784813255, + 184003574, + 99171110, + 871377247, + 97535070, + 197769064, + 182091377, + 255486331, + 911247066, + 604820161, + 794209216, + 566617041, + 267105416, + 632208258, + 742913615, + 500593146, + 923435524, + 344462488, + 231510265, + 927884456, + 318340821, + 929581859, + 911201998, + 101374620, + 816488781, + 665631462, + 807052637, + 514143740, + 252741212, + 305621260, + 123191259, + 593027293, + 256806244, + 978128865, + 450506218, + 217473858, + 148133862, + 857385816, + 80227371, + 333614925, + 237986514, + 66555395, + 718029246, + 929257101, + 960731843, + 195024002, + 78777010, + 27156837, + 263930958, + 795576591, + 152669485, + 889684631, + 244638891, + 882639335, + 735806932, + 11033883, + 965668168, + 664779084, + 663144957, + 939821228, + 774831927, + 195862315, + 134770606, + 386001729, + 520388848, + 432356118, + 845307934, + 45372364, + 951010539, + 883740350, + 372678819, + 664683921, + 521944839, + 391306128, + 495706584, + 122410736, + 644112771, + 352965300, + 530056459, + 895717333, + 30398820, + 873301074, + 38023842, + 142393430, + 343086050, + 616339272, + 571334809, + 289408906, + 715675417, + 448462735, + 835320769, + 600065195, + 575101960, + 42833064, + 686249313, + 779688248, + 538476535, + 904065507, + 392193762, + 147147345, + 432617469, + 166349766, + 182705766, + 250858257, + 299181802, + 959034232, + 829440998, + 758451243, + 871743259, + 10849845, + 452580721, + 61893308, + 314831240, + 187476990, + 846325599, + 455236546, + 900354678, + 269408184, + 205083881, + 430817783, + 897442298, + 453784565, + 518856868, + 992136493, + 101334000, + 873190966, + 842794440, + 400867773, + 5870275, + 588661789, + 647339774, + 198368833, + 349757968, + 218523480, + 317276918, + 747191122, + 80812693, + 448932261, + 624440051, + 555441369, + 871777857, + 275975199, + 486710100, + 184894478, + 384705526, + 674821004, + 280145306, + 380622836, + 159627859, + 627988039, + 993095061, + 291873488, + 603066658, + 19536019, + 513529811, + 366756216, + 675738536, + 275170660, + 411885395, + 783072420, + 869117975, + 345758753, + 78848921, + 391406991, + 743639241, + 806275253, + 315789899, + 555545216, + 50029190, + 648113469, + 990213328, + 824624122, + 205898194, + 729176262, + 364827422, + 125990223, + 66120001, + 493114454, + 492924446, + 976085250, + 307121221, + 286131962, + 150916213, + 857668228, + 161612510, + 559565295, + 627754256, + 523021692, + 816618358, + 30675506, + 848101652, + 892865662, + 266124541, + 415019035, + 678471210, + 382967344, + 561809370, + 635014401, + 495741783, + 395643318, + 431852287, + 342919530, + 868841626, + 78921080, + 710226696, + 736474807, + 803945855, + 498045042, + 264103921, + 249753894, + 495180175, + 818507572, + 239823810, + 716317451, + 985980127, + 823226831, + 275432655, + 234899543, + 870663309, + 291961274, + 657162898, + 597432744, + 939756506, + 172567516, + 165107711, + 914749612, + 318224819, + 821136643, + 70992016, + 125809735, + 390877847, + 827364090, + 209216292, + 941318369, + 639694675, + 104425881, + 968045102, + 31689536, + 646918343, + 326568365, + 176738539, + 192650295, + 890113478, + 89256854, + 125684452, + 443303487, + 368970322, + 245477783, + 205143903, + 74634896, + 646143854, + 2313269, + 852169294, + 999624965, + 194020037, + 258517926, + 539669781, + 611579159, + 923623707, + 326491279, + 381823261, + 244952588, + 787701204, + 756990093, + 440642180, + 26146631, + 580141655, + 746429499, + 273932111, + 309739984, + 135288941, + 921548395, + 696019574, + 923068893, + 565289436, + 5920449, + 388136116, + 171002567, + 609108149, + 241582811, + 654088587, + 716767179, + 698877526, + 114555046, + 511440154, + 345824280, + 195657750, + 80400500, + 552373333, + 585575265, + 743185539, + 966720440, + 351599822, + 563929045, + 781918842, + 83976513, + 286092446, + 410334549, + 452153750, + 687366019, + 388848442, + 623507801, + 852834266, + 949531581, + 389347394, + 783691325, + 170384420, + 783851466, + 422966893, + 742529629, + 537249372, + 616935711, + 49807692, + 713369949, + 974385793, + 834813126, + 908231872, + 350741531, + 897258593, + 136111780, + 853347563, + 185165477, + 246499107, + 950203405, + 743912083, + 455451075, + 97756295, + 306848189, + 912915684, + 708212232, + 772775890, + 240863921, + 910278623, + 444241, + 405928325, + 459886060, + 702490861, + 982653969, + 935919093, + 135561545, + 19196304, + 127255552, + 435110386, + 387326281, + 506738300, + 847324585, + 628323197, + 967475008, + 82057568, + 267379329, + 563167247, + 287977126, + 11613202, + 993563246, + 228170723, + 3711614, + 319651328, + 311041799, + 461831748, + 827941228, + 951926315, + 148951144, + 59499195, + 935991822, + 998558186, + 611420172, + 142660744, + 858160176, + 410204174, + 912614255, + 244974856, + 263087375, + 791283669, + 290751547, + 290256008, + 612636638, + 14574967, + 465706520, + 35371889, + 768776531, + 114109610, + 27023131, + 198720726, + 382283197, + 681405322, + 495233533, + 504317482, + 704287780, + 265180206, + 580582765, + 138240277, + 166318033, + 653198184, + 53161715, + 523108395, + 838164081, + 205309029, + 661017815, + 186327553, + 300528245, + 474952187, + 557111666, + 412869369, + 166301947, + 20805975, + 405056961, + 984326663, + 516814594, + 416390658, + 729392748, + 830105295, + 862393823, + 621788606, + 816913911, + 105497473, + 746538819, + 285026806, + 797661511, + 385559853, + 467829901, + 870646227, + 966371443, + 767744801, + 604633064, + 176233498, + 154321858, + 618618471, + 700729818, + 969847607, + 559688108, + 6069540, + 115779919, + 109662183, + 685458938, + 215932132, + 545641585, + 750887340, + 214319895, + 388611284, + 208218483, + 999982131, + 449627664, + 232593753, + 397664975, + 832447820, + 990271980, + 959119301, + 199131798, + 860953254, + 956574771, + 25773477, + 340952798, + 290281031, + 553615917, + 544178837, + 734243137, + 907080184, + 183151985, + 484230941, + 409862441, + 808129224, + 266806365, + 126943207, + 106532225, + 909321473, + 115804095, + 144284677, + 461509902, + 822557857, + 182311579, + 601501455, + 305693427, + 546667162, + 682103742, + 985944518, + 202447347, + 250501979, + 972550162, + 595316537, + 35104362, + 102217869, + 57015151, + 782382350, + 384962670, + 166246264, + 360333362, + 360632586, + 642827928, + 347503719, + 707600067, + 428209044, + 128313657, + 829500081, + 884739430, + 165902203, + 926591539, + 128760563, + 916743667, + 682508992, + 935821757, + 447237097, + 77623459, + 718018189, + 401286300, + 50749631, + 769777622, + 819247412, + 902311276, + 822365049, + 694569300, + 143008467, + 753957160, + 669854591, + 990520841, + 358732310, + 82830351, + 76306150, + 478470292, + 614483473, + 874270888, + 614797745, + 312998575, + 986278631, + 344102598, + 284509359, + 154158302, + 686234744, + 703432404, + 987715323, + 137777378, + 31225042, + 471454937, + 861124055, + 317804670, + 301241975, + 114382669, + 275869364, + 438941008, + 345893624, + 650238664, + 497107673, + 790491995, + 103824822, + 329367215, + 528080265, + 626811197, + 622346995, + 410841461, + 242413217, + 907946963, + 533779989, + 709946650, + 993907011, + 293454115, + 708188369, + 38302016, + 857462812, + 382189423, + 422745415, + 527266187, + 560751020, + 310123056, + 266605567, + 381652587, + 871364642, + 488871430, + 389085493, + 36291785, + 525559348, + 388277587, + 31889009, + 220485010, + 721327090, + 327012956, + 651808614, + 927451193, + 392183692, + 58607752, + 23613589, + 235424435, + 340377563, + 962293871, + 931624124, + 933914858, + 571934780, + 391841281, + 995700919, + 344630468, + 149978509, + 127372469, + 276832381, + 595843366, + 131659518, + 995121456, + 471238989, + 221462727, + 706356188, + 485105361, + 645433543, + 462250243, + 339317158, + 908569807, + 663474848, + 957897853, + 237389024, + 371842692, + 704416310, + 416578563, + 832709593, + 930066582, + 51288805, + 924215645, + 422345248, + 3068943, + 106239383, + 661595305, + 16475489, + 12921008, + 408969709, + 843240842, + 691359896, + 44046765, + 187721156, + 262012672, + 246085476, + 656443535, + 588202743, + 79503016, + 150921774, + 733834081, + 265900360, + 64601423, + 133592104, + 170405818, + 985270691, + 590777625, + 684593968, + 426813443, + 575367758, + 220901308, + 772561085, + 397897571, + 384822983, + 687763354, + 282623928, + 407409243, + 15173252, + 927797836, + 72629927, + 790025466, + 637023786, + 219575020, + 628969976, + 271645179, + 682266456, + 900699959, + 69378091, + 41681673, + 339585563, + 261099743, + 724910607, + 203374654, + 64827993, + 201085634, + 833977908, + 208990193, + 351985728, + 368863205, + 217621627, + 369282667, + 540015136, + 148027243, + 234635117, + 175968244, + 701711659, + 52917361, + 268173190, + 562401159, + 47631761, + 543877061, + 110339088, + 248356027, + 979588027, + 270475586, + 664897175, + 947840869, + 641175256, + 88020873, + 15813981, + 602014817, + 490617635, + 263512432, + 51079302, + 968580420, + 155274822, + 147684866, + 277304896, + 620888505, + 304877134, + 715973390, + 764233623, + 759539863, + 366174595, + 534907434, + 851886977, + 491226509, + 286490658, + 685119428, + 917273914, + 968581542, + 778598134, + 578403709, + 815114056, + 352762447, + 824384865, + 700384250, + 111756178, + 437965590, + 117972775, + 264516547, + 389747933, + 180598028, + 443228745, + 30354006, + 802016089, + 436494137, + 825568300, + 659106260, + 408233127, + 976477357, + 456329418, + 510968540, + 248019834, + 501351006, + 162397500, + 963292711, + 61945607, + 402886570, + 214503111, + 916931425, + 378354174, + 785008377, + 568250709, + 973455278, + 277150506, + 778158299, + 999145362, + 817793615, + 686503534, + 655364057, + 375948474, + 348623360, + 61417618, + 529282367, + 235162711, + 899204330, + 449696083, + 303446738, + 925205970, + 490479981, + 838580420, + 719897783, + 17591268, + 234719133, + 178861737, + 445342137, + 904421055, + 536104414, + 656484906, + 681037550, + 227970722, + 526412622, + 449277937, + 36085994, + 439244001, + 109821134, + 994150499, + 509872584, + 119823672, + 326963936, + 52732917, + 431748140, + 321905514, + 137809379, + 645878746, + 519534654, + 897586530, + 707315307, + 23776677, + 412800467, + 475513538, + 861054591, + 942787348, + 597970241, + 134146543, + 298454400, + 886112739, + 518850354, + 152536848, + 356487057, + 392083231, + 58215072, + 408898878, + 346874228, + 500795789, + 716379264, + 79741940, + 978178023, + 243965288, + 900635733, + 382506510, + 844085181, + 268124695, + 666886043, + 548495813, + 360254306, + 47998703, + 382850456, + 554610249, + 384569646, + 27794740, + 577279012, + 550944737, + 266734548, + 801850761, + 673172805, + 326343749, + 45856294, + 786988732, + 272126137, + 349845080, + 399011056, + 747487824, + 317072123, + 405467994, + 232942155, + 483908011, + 610576462, + 258722770, + 162344529, + 708808867, + 357302648, + 823480786, + 599123050, + 179478503, + 695854423, + 647959013, + 474585868, + 568267149, + 15797705, + 851308527, + 643738530, + 169189291, + 112365917, + 825403954, + 169657891, + 816145596, + 94223817, + 998921609, + 186490579, + 689834965, + 533798040, + 736980973, + 417861317, + 65814282, + 767603947, + 129900067, + 778296804, + 917936420, + 594094937, + 400020488, + 472540212, + 431642718, + 733861173, + 587926658, + 983615765, + 625790395, + 6405753, + 852823918, + 195734144, + 925620283, + 86933551, + 916292888, + 412415225, + 838870777, + 894847173, + 781993892, + 543869157, + 172585867, + 847897073, + 194801793, + 582377752, + 1609793, + 376446338, + 802963627, + 985009524, + 866191905, + 114843858, + 568126239, + 863709467, + 378393874, + 64604884, + 519480530, + 649266676, + 964448947, + 218955192, + 3129725, + 993762963, + 370576823, + 872937030, + 627463598, + 884820605, + 911788997, + 44147335, + 965346069, + 262207674, + 919390586, + 272444205, + 367627476, + 322344725, + 512978915, + 749085510, + 881623431, + 410050626, + 720326991, + 319039700, + 672911448, + 493339595, + 138142653, + 87582784, + 931069442, + 591296875, + 351329834, + 483860229, + 308912961, + 65038711, + 182518278, + 284098738, + 362543550, + 87699277, + 37426830, + 424173221, + 122593672, + 249305782, + 53003257, + 586454737, + 745527100, + 335483646, + 396998387, + 330533795, + 176428988, + 118896331, + 710582452, + 671489129, + 57846998, + 443640433, + 923675813, + 298171528, + 831373905, + 226399210, + 591702844, + 528903128, + 757837089, + 473443828, + 816231013, + 398391536, + 316283100, + 26385697, + 518706341, + 261783009, + 159545207, + 102441409, + 420844610, + 315642074, + 123608202, + 675484341, + 963234415, + 456268539, + 495792823, + 979018725, + 731237640, + 506657551, + 566942489, + 157008177, + 259284106, + 808091446, + 168196143, + 218060779, + 346755943, + 273790584, + 864232653, + 121874096, + 204963873, + 721436257, + 541829714, + 355999115, + 839041842, + 69002561, + 871330038, + 703316259, + 899460867, + 746880000, + 443930531, + 196428636, + 943431923, + 759496263, + 969009680, + 19940848, + 853952590, + 29075341, + 853115720, + 316810362, + 273633078, + 711380037, + 842934275, + 746814529, + 726074735, + 847695905, + 123424555, + 907086748, + 340653784, + 729397221, + 887657472, + 150518156, + 762192886, + 946263030, + 468666973, + 405780857, + 300701116, + 939723287, + 683643266, + 793762994, + 496025935, + 296850116, + 821888180, + 357667239, + 519174949, + 835465593, + 535532581, + 589542288, + 157026342, + 357063226, + 799061860, + 667083480, + 863663799, + 538760595, + 153632530, + 509838929, + 835599105, + 412745801, + 828907032, + 27545674, + 932074494, + 275087641, + 439576775, + 894662930, + 658943279, + 523329967, + 209554010, + 80558055, + 402361577, + 224600465, + 710064427, + 356502077, + 630117178, + 371652380, + 861881399, + 442633776, + 61120851, + 536485084, + 158072531, + 704828727, + 649541888, + 703986629, + 802663209, + 909471264, + 160265643, + 122035306, + 260657388, + 427004404, + 569383247, + 980222219, + 345387609, + 817561999, + 224425902, + 326373409, + 520580041, + 626185341, + 252298501, + 30205640, + 112114095, + 96744032, + 522983605, + 694971737, + 58426113, + 276967103, + 808167946, + 808975816, + 583173934, + 277497371, + 561054644, + 314912706, + 520128355, + 995192265, + 776829028, + 942182012, + 709700489, + 113328378, + 594587973, + 101463065, + 61939557, + 987707728, + 868342533, + 269225513, + 974314092, + 577343361, + 433281548, + 340354381, + 906429776, + 141160947, + 752625782, + 656674117, + 153678124, + 480068883, + 482815544, + 984388946, + 487125484, + 781614926, + 81117549, + 816622588, + 101545424, + 789973057, + 507287449, + 76983201, + 149538976, + 51809920, + 729733734, + 197213790, + 637229128, + 305041585, + 883775641, + 824513531, + 289992210, + 593015712, + 197137827, + 979680691, + 892964752, + 177206371, + 117958025, + 878750624, + 21193918, + 608595484, + 828901742, + 33210012, + 434216237, + 628480786, + 802680611, + 691861473, + 777564316, + 975260603, + 806834058, + 725357479, + 993287975, + 627974974, + 528040199, + 729207799, + 572045275, + 302450099, + 574307121, + 495256212, + 792491683, + 387195438, + 396443654, + 295858218, + 777331467, + 143294264, + 264556938, + 639097429, + 445789422, + 501192593, + 153159498, + 444967170, + 548441918, + 777624732, + 821313259, + 88891623, + 987712510, + 890816313, + 422516989, + 150105376, + 444858090, + 273700106, + 11747370, + 94212506, + 594771269, + 594707124, + 593449384, + 572518008, + 353985124, + 955414452, + 209203546, + 465723106, + 977811415, + 494478407, + 887746154, + 474175724, + 563100928, + 942512059, + 305257230, + 313027567, + 461757553, + 352811419, + 64077880, + 139593834, + 847364679, + 176525770, + 353474902, + 149647468, + 870478878, + 382862288, + 728969408, + 613611041, + 779588692, + 773141396, + 283044674, + 306179080, + 484024241, + 813700969, + 471705700, + 497562701, + 342138707, + 937403561, + 311123652, + 66724132, + 800743653, + 859116764, + 843676270, + 875944567, + 194070815, + 538764726, + 16134459, + 68528235, + 633404970, + 862972980, + 581654685, + 955440042, + 552841500, + 939025069, + 805831243, + 713654603, + 347737651, + 481188946, + 873908689, + 348351206, + 301702917, + 267986686, + 638032508, + 737345704, + 534865941, + 326161710, + 747719877, + 737018073, + 310974831, + 822380845, + 336515966, + 151026183, + 780337178, + 548748119, + 73627987, + 414028475, + 224153933, + 441721357, + 717873814, + 276147797, + 258915886, + 97729527, + 978552536, + 509893314, + 31661604, + 835184571, + 320527343, + 530483121, + 14282598, + 118022686, + 991143762, + 890671420, + 502962225, + 733794719, + 461641918, + 797547775, + 568471497, + 461902678, + 182026684, + 83896393, + 603608244, + 464431713, + 612235636, + 367330362, + 405466187, + 275723792, + 387588722, + 578833426, + 612443884, + 711609830, + 751879212, + 682083682, + 718200942, + 338269365, + 215294920, + 103703303, + 923483392, + 687221694, + 57101337, + 239673640, + 466288023, + 545061098, + 557907021, + 60651104, + 617972156, + 449078939, + 618142282, + 664355728, + 730000640, + 535089007, + 928461272, + 300591610, + 580153917, + 825521176, + 767370846, + 995345528, + 435434380, + 853267792, + 356438840, + 217498573, + 207342346, + 401350251, + 208274496, + 981597479, + 445193278, + 670514568, + 714559726, + 785763111, + 428232625, + 394283990, + 472764255, + 168878482, + 195695330, + 545627511, + 14937665, + 900556562, + 382571818, + 292370146, + 158432772, + 245833194, + 708377545, + 4428207, + 158233769, + 114327770, + 453720450, + 783010611, + 440621064, + 499086630, + 944550675, + 391888760, + 965725635, + 24650058, + 527244752, + 193259265, + 901534771, + 735623551, + 536595756, + 180000103, + 965267056, + 355270923, + 877562169, + 797085745, + 554773855, + 959752016, + 373372613, + 250328407, + 988466485, + 367775232, + 603616214, + 41295181, + 20078679, + 336621416, + 77643804, + 634047072, + 351956613, + 923168160, + 73435134, + 187619423, + 729915251, + 398368183, + 562461257, + 927345361, + 536039882, + 502664912, + 178386305, + 166987892, + 252408222, + 885986485, + 5059778, + 686810112, + 327199735, + 320242676, + 824044145, + 948701618, + 364506608, + 997665934, + 155740110, + 83873719, + 318873339, + 212811905, + 236807453, + 542356179, + 491877932, + 982822368, + 278709608, + 942974960, + 356574063, + 408965232, + 457621974, + 52554688, + 585403049, + 931366986, + 669672410, + 47864438, + 395626722, + 280342025, + 459652589, + 298145453, + 374429329, + 878160719, + 489958641, + 500355584, + 124045034, + 677048076, + 215636566, + 178833959, + 599759748, + 57626498, + 592396355, + 338420989, + 761036761, + 544914058, + 290663841, + 344430383, + 773783267, + 819738212, + 348960205, + 135247064, + 524775977, + 820092487, + 432039675, + 569608134, + 393537843, + 497366089, + 64476465, + 323134564, + 130031605, + 18462870, + 676295051, + 324020603, + 360705468, + 56791678, + 413816196, + 35028734, + 820247737, + 70753032, + 512279751, + 405821237, + 426432029, + 117987054, + 882396610, + 792061945, + 738431152, + 384529642, + 471537789, + 250500779, + 730696194, + 672789467, + 786566712, + 804421022, + 297834570, + 286541483, + 609383454, + 377366512, + 641095078, + 25602869, + 678648724, + 999160317, + 624952790, + 218895294, + 832998484, + 213597675, + 981109014, + 89664694, + 422007755, + 990935483, + 978273942, + 387380626, + 252245742, + 70293588, + 827268635, + 828408041, + 876817035, + 579279130, + 92226746, + 857311438, + 132043424, + 808186922, + 409020236, + 60170179, + 156121724, + 95112452, + 695679443, + 590592738, + 864069279, + 531408081, + 257167651, + 643892992, + 340556485, + 678811397, + 951607611, + 811538058, + 23732209, + 74223644, + 332418840, + 479067586, + 898886617, + 485966866, + 609418612, + 942861682, + 811899138, + 935630154, + 869102143, + 649608730, + 308429633, + 797830483, + 604871566, + 227469251, + 266591981, + 682948507, + 731647422, + 156485296, + 910838158, + 974392654, + 192930099, + 320837702, + 136978344, + 155520202, + 161054255, + 817091988, + 368147310, + 768045830, + 652539036, + 253927335, + 100738957, + 56953418, + 362575098, + 37700042, + 658350809, + 257647244, + 443122291, + 378365594, + 566458467, + 539911913, + 838267214, + 221787561, + 490117007, + 704147468, + 388864643, + 722072017, + 395232103, + 27118076, + 137049222, + 402631763, + 88776301, + 692660182, + 89902633, + 935865892, + 444139243, + 55438404, + 185643914, + 111614362, + 295232961, + 467915126, + 719866986, + 907053448, + 394472097, + 552523438, + 952449051, + 983340722, + 643457566, + 889232252, + 246407159, + 469955525, + 49772188, + 480219879, + 742304669, + 776488764, + 538985411, + 956316982, + 877794038, + 446132342, + 713903930, + 33664499, + 968608997, + 571494274, + 363642119, + 598279810, + 974497150, + 936227417, + 528828052, + 625705029, + 13570105, + 764478132, + 451628070, + 368993938, + 206341221, + 640848858, + 869384070, + 8417876, + 830838851, + 210555593, + 413974866, + 391811094, + 709204222, + 588628993, + 861227918, + 313127737, + 569198441, + 323785964, + 301065880, + 701929844, + 290232744, + 182205042, + 28974837, + 219616934, + 242733682, + 688121141, + 751149453, + 949334341, + 755823040, + 308710298, + 128361709, + 458677189, + 461459692, + 212761364, + 35467879, + 72944143, + 207556157, + 968622277, + 669509521, + 239502366, + 962590003, + 334207434, + 784642451, + 4109455, + 317741316, + 998141182, + 661359310, + 498675645, + 19755168, + 651130992, + 225800952, + 452753633, + 154725218, + 64920166, + 338033430, + 931559326, + 779427466, + 268795033, + 410706552, + 938663646, + 525382061, + 742541224, + 303214108, + 761258156, + 639272546, + 636105991, + 732584240, + 902497796, + 885537942, + 417833537, + 5851744, + 653968976, + 967650457, + 461498684, + 174409034, + 399796865, + 739326519, + 665329727, + 493587186, + 681811587, + 17224243, + 21223856, + 708523865, + 762951960, + 317051640, + 126552626, + 174630180, + 638543773, + 786640932, + 372267071, + 953442629, + 125472930, + 312985014, + 536765866, + 934276619, + 464980113, + 90161528, + 267167609, + 186123959, + 325986714, + 473280829, + 405384688, + 2442789, + 582632637, + 387963461, + 128287828, + 32639181, + 917922938, + 543153830, + 922558363, + 67018370, + 837225839, + 195229937, + 56238945, + 255869909, + 773598180, + 805818231, + 734585654, + 472123716, + 622236759, + 739480571, + 377296096, + 293090566, + 392463909, + 644517261, + 849931749, + 924326660, + 959550464, + 651228013, + 776663308, + 664605959, + 142367692, + 818801260, + 395824616, + 139593472, + 536780660, + 531400903, + 628984907, + 539279725, + 21385419, + 379107316, + 536894148, + 604272774, + 92524053, + 729999567, + 800819072, + 881707523, + 51642502, + 307695359, + 999260576, + 798000683, + 181226543, + 140860022, + 487392510, + 72218192, + 646817894, + 710619467, + 902150735, + 103270906, + 796534161, + 976500066, + 789009779, + 230469178, + 779657914, + 260781576, + 60398603, + 856247980, + 99630394, + 12108748, + 583079228, + 764575806, + 653141463, + 636451587, + 759367608, + 322675751, + 338289022, + 795341712, + 664784742, + 401170379, + 988285352, + 270316285, + 683673543, + 729543107, + 883518685, + 320516478, + 635851664, + 395496384, + 840915559, + 94011541, + 935137028, + 830156603, + 686937946, + 621497798, + 507318485, + 925061797, + 239819169, + 429912602, + 124842310, + 802735720, + 1729697, + 173868093, + 639056145, + 689719650, + 599069285, + 173122950, + 745560123, + 449182731, + 171126656, + 56583022, + 20365731, + 523161310, + 206190353, + 898119337, + 17475565, + 439055109, + 130011694, + 238788848, + 804209188, + 920317243, + 333702747, + 699267056, + 755972765, + 402311988, + 88577603, + 627565459, + 782366459, + 267824975, + 907995242, + 865371324, + 3129538, + 335619750, + 720251401, + 170588951, + 886033227, + 699197565, + 930265594, + 705540429, + 235994815, + 243521613, + 498361171, + 341674566, + 71211896, + 191847674, + 234587428, + 592084407, + 380137030, + 448586252, + 293720670, + 369902633, + 560196654, + 913923242, + 635064285, + 813163793, + 286705699, + 141222943, + 802551766, + 592541466, + 850138134, + 23949938, + 447509616, + 963669331, + 19860305, + 965005323, + 255454121, + 714418737, + 666048457, + 691630944, + 470426733, + 328361249, + 152909713, + 278654647, + 531403957, + 42242495, + 662451098, + 285188447, + 485499333, + 195797838, + 230814982, + 901614650, + 981959542, + 235323892, + 292632990, + 963902839, + 631210721, + 939578841, + 740805914, + 714326562, + 526256009, + 633668377, + 546748886, + 929513111, + 194500454, + 157765335, + 316138015, + 532606572, + 141365351, + 659709709, + 390784716, + 430914383, + 447981479, + 544587698, + 880511917, + 17630480, + 192515646, + 952208638, + 55129882, + 254497613, + 98473120, + 326969117, + 410371952, + 573265637, + 892814804, + 889307814, + 379916124, + 166996816, + 500790050, + 694619558, + 180865399, + 327573452, + 469093104, + 291718830, + 683801648, + 764982473, + 285162760, + 238965693, + 730012811, + 136504334, + 78170351, + 738645973, + 35721794, + 531768227, + 546306579, + 268126822, + 539063128, + 368181146, + 552350303, + 356767658, + 862822558, + 236825035, + 245901062, + 950005620, + 14272786, + 200207543, + 745789251, + 590823229, + 438748045, + 899250165, + 328806623, + 859796185, + 942471112, + 176076458, + 674765215, + 19539085, + 76532989, + 521279274, + 99198139, + 143062465, + 66948799, + 839478317, + 333850025, + 778398179, + 361047842, + 372121859, + 721311553, + 888749003, + 986162915, + 510455078, + 613948132, + 362966672, + 786569819, + 729674678, + 479113208, + 719500671, + 843560278, + 842029480, + 752593896, + 57119722, + 50734047, + 784841271, + 83112053, + 346682949, + 935680565, + 41562189, + 115571888, + 59491888, + 168662982, + 654072449, + 511994066, + 116660306, + 850692134, + 679470741, + 992210947, + 657378163, + 742672450, + 278336229, + 677121144, + 908414218, + 630648354, + 968696043, + 113110274, + 835065915, + 969456603, + 28072703, + 713010007, + 660059669, + 372795845, + 251497008, + 897055738, + 758305605, + 718445758, + 543340135, + 185972592, + 982501156, + 802656158, + 700424345, + 46908401, + 227393848, + 375444774, + 310992686, + 996382757, + 669044641, + 573386550, + 896005558, + 238874829, + 556826250, + 503158441, + 730369368, + 888722919, + 239165838, + 414191492, + 803754171, + 443964965, + 115113672, + 949019574, + 236823349, + 819541128, + 928147781, + 246055766, + 741493104, + 747100188, + 170821001, + 454988125, + 757065924, + 820810995, + 953309630, + 289371300, + 984475870, + 885086103, + 702663197, + 414942882, + 589460940, + 205973394, + 662525664, + 30437093, + 394071667, + 779120928, + 846053967, + 540181623, + 469937197, + 746094437, + 774799598, + 951774328, + 440493853, + 733152648, + 513855226, + 542253873, + 494028959, + 787970505, + 598676294, + 548897609, + 78903400, + 829208183, + 244412972, + 171023288, + 420952831, + 765095522, + 634272689, + 548952917, + 646270899, + 133901598, + 793626108, + 51793302, + 29779102, + 252161636, + 228356130, + 865244004, + 826238101, + 153431864, + 518325333, + 918119949, + 888195203, + 941074053, + 924212342, + 254961087, + 796019736, + 970305177, + 115678514, + 464344689, + 487691067, + 207255571, + 165272427, + 617465197, + 415124320, + 424431245, + 697698512, + 899733962, + 3979885, + 734265526, + 381512308, + 194822081, + 296395107, + 746761812, + 376461751, + 767196768, + 900682671, + 954010667, + 309664387, + 536650624, + 109884722, + 212340879, + 188792233, + 615078929, + 141934992, + 708794412, + 804374719, + 123947989, + 701689831, + 527403824, + 405711996, + 195292771, + 121802953, + 593658881, + 417430339, + 473481859, + 760742509, + 175371718, + 988287313, + 886190826, + 900766972, + 321987960, + 420719472, + 657248979, + 554338386, + 914524338, + 556644170, + 687575951, + 762458092, + 445566847, + 646254269, + 257840641, + 179264137, + 995142802, + 802086362, + 576229512, + 482541705, + 205745820, + 902985362, + 349822933, + 27464766, + 545731439, + 659547241, + 811574564, + 632142380, + 318169391, + 97024412, + 207961425, + 603093340, + 308011588, + 687673887, + 881287051, + 733881551, + 580304198, + 177428038, + 417609178, + 741000905, + 996273996, + 475629284, + 584732100, + 98819287, + 306839484, + 570984312, + 598579955, + 660955940, + 381914220, + 819199284, + 626093526, + 534361636, + 784838936, + 636905183, + 585492871, + 131433179, + 428312739, + 651982950, + 560710293, + 783992636, + 991802116, + 901325956, + 305805360, + 251205002, + 515496459, + 862190542, + 171474791, + 304248990, + 700485000, + 200606709, + 784869043, + 541992052, + 582551198, + 157123878, + 781731331, + 388293750, + 412782038, + 385549998, + 376228983, + 551846128, + 231482179, + 530153971, + 344277548, + 793490234, + 520755418, + 330533344, + 356678361, + 215307584, + 306605571, + 459400413, + 383441568, + 964644560, + 689204216, + 979534710, + 694883277, + 965821147, + 882275955, + 615628262, + 107916253, + 391497593, + 9029457, + 660483627, + 679689666, + 32354205, + 94349732, + 758622883, + 749286009, + 325103582, + 319022032, + 549019161, + 906720308, + 575212719, + 11280971, + 974294009, + 62535786, + 270142806, + 179058980, + 960322226, + 182612352, + 261406643, + 982717996, + 598346227, + 961288636, + 920230032, + 464778886, + 867104876, + 715286265, + 364934480, + 487042644, + 496387487, + 273612604, + 203436576, + 43098925, + 394138281, + 740504995, + 608945865, + 679904145, + 153892287, + 522703485, + 482968943, + 44809067, + 127926427, + 417952047, + 899153797, + 751472330, + 486643482, + 296376856, + 941520378, + 985439073, + 703980778, + 449600305, + 603014422, + 845585679, + 265916130, + 331490323, + 270119943, + 75121069, + 569820853, + 861745936, + 663432421, + 190819602, + 942622055, + 736977845, + 499820068, + 611036901, + 711984913, + 786180879, + 350744649, + 889572168, + 144795605, + 390878343, + 277311681, + 103720044, + 402629173, + 266116318, + 447735225, + 537889768, + 780078962, + 507263575, + 194091628, + 285234818, + 946340962, + 113301419, + 637414582, + 858892215, + 605660492, + 680113019, + 621432269, + 411072448, + 743652931, + 240039860, + 981928607, + 239586485, + 322251677, + 598177901, + 325964389, + 398078498, + 411878298, + 816377536, + 879026140, + 649252204, + 412540602, + 247076479, + 894214702, + 196325404, + 370576798, + 700774592, + 489638773, + 807960496, + 773216246, + 380095825, + 918679592, + 492368130, + 188468508, + 555527322, + 458864951, + 218175635, + 743714974, + 862842146, + 429017336, + 279679773, + 501343645, + 441986467, + 903321921, + 55179465, + 741122043, + 321524860, + 39469002, + 752583443, + 255270804, + 931082886, + 167514543, + 469501974, + 831368157, + 997857475, + 691564117, + 642213397, + 629622913, + 220837497, + 610358152, + 958159760, + 850511113, + 677662577, + 879942913, + 255658527, + 139532984, + 798420669, + 924401063, + 668918235, + 723217074, + 252383548, + 6673831, + 712236308, + 503426254, + 229867529, + 545756299, + 203804140, + 149791956, + 558286977, + 798782293, + 97567502, + 978564211, + 326091304, + 363288125, + 43482112, + 957510168, + 95679015, + 564065146, + 328794173, + 472338718, + 560282895, + 618874742, + 800340987, + 437908685, + 366652048, + 563917046, + 688973070, + 676115523, + 452810144, + 321677750, + 579155289, + 670483367, + 227916689, + 637820078, + 829978986, + 246344704, + 345223314, + 914555104, + 634747171, + 831697677, + 650456685, + 891846250, + 530995014, + 499124977, + 245264558, + 307826710, + 643091678, + 998086563, + 680964793, + 547153061, + 805882457, + 665143592, + 143530140, + 632524070, + 152514254, + 398304176, + 72650651, + 273581399, + 615205844, + 491504052, + 301936896, + 301985817, + 381780544, + 271614315, + 798823072, + 482666467, + 270289148, + 774696900, + 640068783, + 373151502, + 964093129, + 764029570, + 600791217, + 327105083, + 586721014, + 736565627, + 977060998, + 646607249, + 196457366, + 218616532, + 34967473, + 412135164, + 340695486, + 563101252, + 185073377, + 976019444, + 548274596, + 311687507, + 305768053, + 540472840, + 501891911, + 614999659, + 785907891, + 483195987, + 103069815, + 371862288, + 607342500, + 289857346, + 97731085, + 633826744, + 430635605, + 669934483, + 870011241, + 697766946, + 804605383, + 834595582, + 86282460, + 835202211, + 115832469, + 222698650, + 86847157, + 351911942, + 594236547, + 875293882, + 38673256, + 383363764, + 953522812, + 124664193, + 162866332, + 225590596, + 620962003, + 928174993, + 681513907, + 970111983, + 582061051, + 979686355, + 384865854, + 454809486, + 871481082, + 193162923, + 666837951, + 871116344, + 630373326, + 897295235, + 42620851, + 831202886, + 962032380, + 192626465, + 538247075, + 128819974, + 931570693, + 88909646, + 904935165, + 640647603, + 230229059, + 614639897, + 430247420, + 923375597, + 840057971, + 333292990, + 162345315, + 951870967, + 305684979, + 896380867, + 358124531, + 420176211, + 169581374, + 865209279, + 310613339, + 946958266, + 728397752, + 533810552, + 744757210, + 532936875, + 848678862, + 578784974, + 487552485, + 412044578, + 691678155, + 415881600, + 797270150, + 622375844, + 219902901, + 504251965, + 154390411, + 208077071, + 542408049, + 429731458, + 921766567, + 235783823, + 909923268, + 353817604, + 643492915, + 950474199, + 320153945, + 472230699, + 192422216, + 921471720, + 523841352, + 504773272, + 839209353, + 983935429, + 470137805, + 137055291, + 526452230, + 931956992, + 862505089, + 140873535, + 231754514, + 398093753, + 655554302, + 738967249, + 894677799, + 777043008, + 808513542, + 436115965, + 899445577, + 812636492, + 514049413, + 449311849, + 470700296, + 177276212, + 306649411, + 714806793, + 652921286, + 383553817, + 145324776, + 480388301, + 899982764, + 114880376, + 985398376, + 393184494, + 94602249, + 764166191, + 992088079, + 937928657, + 994831160, + 911214364, + 814915382, + 149323257, + 59276107, + 367983490, + 942730567, + 225958578, + 181072723, + 902091773, + 791276341, + 43001654, + 529116146, + 501812291, + 486072657, + 655869411, + 211437458, + 566784889, + 571082261, + 691681829, + 674921493, + 336615848, + 999615778, + 985970902, + 733512902, + 770431106, + 394183496, + 782241879, + 838971841, + 469332774, + 463673626, + 576105107, + 253333626, + 836074580, + 336213675, + 23806137, + 704665430, + 255236481, + 647811926, + 705183733, + 542096975, + 122149066, + 443680675, + 821867819, + 267147373, + 871464469, + 910586399, + 263621266, + 447322422, + 492780857, + 345296599, + 738051177, + 489460014, + 949235438, + 567741578, + 748469729, + 99034078, + 613594474, + 435295578, + 613516580, + 644271997, + 732548457, + 20548156, + 817605713, + 625347009, + 294639829, + 938691721, + 420854372, + 200494490, + 431716587, + 186354312, + 402860548, + 420360958, + 957332725, + 222795859, + 317442170, + 302901822, + 39296985, + 729493432, + 831320067, + 488236640, + 967185818, + 975529763, + 601312450, + 994907778, + 909208557, + 659924122, + 522286840, + 346888176, + 585613906, + 800544180, + 81783355, + 807739560, + 272075584, + 996924212, + 999562263, + 56549727, + 281460756, + 766076671, + 320752584, + 991050311, + 461767360, + 262124853, + 447469490, + 906951946, + 211700529, + 387753327, + 720025191, + 546584665, + 410833694, + 354503912, + 486358245, + 121170792, + 962422074, + 611749844, + 249004017, + 617238107, + 671470407, + 357809670, + 818587256, + 789091930, + 89042670, + 42348708, + 901713486, + 229683267, + 847697958, + 905677129, + 823204548, + 414566596, + 770208465, + 434680123, + 689745649, + 980559951, + 989194916, + 44482386, + 10072216, + 1876236, + 12926208, + 315972978, + 896673949, + 419659177, + 509594898, + 756756022, + 481360692, + 278529682, + 297688650, + 897251121, + 877118880, + 535715338, + 985297603, + 309943621, + 450682681, + 813210698, + 18667641, + 69407381, + 531174463, + 670827214, + 604060516, + 985797527, + 678452097, + 601710151, + 716889037, + 643429900, + 244411962, + 137431665, + 730228911, + 510592494, + 673110625, + 941164368, + 565960456, + 12041488, + 945929971, + 286010059, + 540117814, + 786727687, + 279367435, + 484235407, + 310080102, + 880947352, + 108524130, + 301389874, + 88018721, + 814233558, + 793015391, + 152355414, + 207178444, + 437907115, + 535993381, + 909309652, + 816244140, + 705983374, + 146526548, + 749329537, + 258128717, + 137471209, + 32195544, + 817073072, + 441292564, + 531219489, + 921784089, + 563324200, + 637153828, + 53554588, + 956591090, + 750916313, + 143249087, + 653996009, + 781300326, + 580953060, + 166612221, + 988245441, + 333201871, + 903238346, + 183120945, + 444264076, + 355344220, + 803992898, + 494346377, + 84031416, + 414196592, + 449279932, + 652235740, + 211450786, + 111850320, + 564382767, + 521583718, + 339558136, + 4216530, + 409469668, + 577752902, + 954672617, + 569509660, + 17285165, + 10903163, + 830077833, + 638121187, + 745488910, + 928050827, + 244078465, + 877418291, + 803126650, + 718623475, + 112744617, + 500850820, + 794052108, + 446362045, + 623542259, + 150886374, + 729763252, + 877974434, + 183060596, + 940694168, + 906525190, + 80722024, + 646611494, + 856707670, + 669793843, + 297105856, + 911539436, + 968527777, + 683491913, + 316019825, + 286471034, + 455683029, + 193897826, + 932827636, + 252854050, + 435552121, + 84226789, + 533741047, + 192481530, + 50399850, + 11624682, + 963401273, + 807187590, + 552929750, + 790869438, + 671199226, + 731477809, + 159084017, + 710823486, + 540036907, + 105336736, + 800023279, + 625265725, + 511711973, + 1102488, + 649745982, + 43720471, + 560481743, + 268798099, + 23166152, + 589901811, + 15473993, + 673286759, + 989931288, + 789553782, + 855262265, + 332277602, + 875090158, + 296434727, + 850410259, + 782959957, + 996933907, + 531574885, + 896307326, + 135233308, + 220956133, + 997739626, + 616557782, + 472127963, + 624165502, + 491716442, + 797531014, + 359705318, + 567002848, + 501919197, + 641823953, + 363921033, + 426117102, + 113485203, + 52204937, + 583042669, + 175872172, + 254013967, + 411983187, + 311366764, + 38377174, + 641446278, + 565141599, + 135119152, + 896514940, + 798613178, + 859006414, + 282578710, + 600808458, + 76489896, + 188836570, + 479043421, + 162534015, + 337370355, + 714861939, + 322142079, + 455989086, + 326344376, + 139792322, + 948960491, + 485502046, + 211060251, + 313817110, + 726571596, + 691406393, + 349705923, + 965909385, + 116583862, + 902734263, + 579194323, + 80448990, + 703994858, + 675219185, + 762861603, + 844117929, + 919573445, + 733552650, + 268991866, + 313102387, + 227471219, + 908503247, + 933671759, + 440163456, + 526625190, + 474188372, + 125305430, + 903909878, + 6649952, + 713757799, + 345266165, + 61647477, + 582907349, + 831055320, + 581806417, + 338032190, + 168333603, + 738985555, + 780711105, + 902946188, + 283667672, + 157092601, + 385128392, + 991684410, + 216086222, + 251394536, + 700537247, + 312894834, + 788263053, + 676376542, + 716435853, + 633646839, + 520748471, + 931546857, + 6141580, + 402980246, + 481961422, + 525248735, + 912743020, + 430811796, + 347561404, + 614296042, + 646204201, + 582988885, + 743517091, + 134501340, + 903123432, + 226577528, + 658702364, + 163047848, + 93304710, + 468046644, + 94627669, + 854525972, + 241744676, + 679150782, + 250859640, + 12067377, + 448586520, + 813630714, + 608134046, + 795613742, + 240621719, + 476907678, + 842226628, + 812551963, + 233025317, + 206424133, + 750112557, + 939037553, + 498447110, + 794567927, + 208445971, + 152620600, + 4191693, + 313682925, + 603313259, + 139815883, + 883074304, + 504582331, + 684912556, + 568110614, + 800999791, + 146361373, + 168838824, + 712956285, + 194203785, + 39720313, + 26582715, + 430908956, + 388488644, + 366721780, + 486258045, + 415040526, + 658546352, + 221651997, + 199572939, + 601075301, + 992280017, + 916618535, + 973436190, + 99067514, + 526023013, + 754697881, + 365902454, + 129768790, + 575996782, + 617719632, + 780571723, + 868856595, + 536146785, + 371217388, + 307163006, + 793405940, + 755180542, + 944141438, + 494840545, + 589341553, + 616047103, + 67467537, + 655609308, + 712592568, + 558725398, + 358761422, + 918260011, + 840619383, + 547199598, + 784276270, + 864059457, + 645723629, + 369324790, + 451912972, + 85497856, + 205128002, + 100476368, + 809534303, + 529790089, + 680074835, + 154193031, + 203570645, + 902722736, + 185646008, + 152318865, + 995907602, + 835014239, + 348826482, + 289773143, + 601338395, + 529258960, + 184423589, + 869921518, + 328747025, + 74772488, + 713545013, + 486924060, + 780210602, + 383887955, + 113153072, + 973437945, + 646782502, + 410843039, + 264585006, + 530679810, + 815868544, + 192608559, + 838327322, + 149364836, + 299275137, + 118009157, + 166823843, + 452925384, + 606184611, + 623542727, + 801434546, + 141119934, + 701730570, + 985329385, + 727595924, + 44363648, + 621538446, + 474672651, + 318610341, + 150236847, + 973646155, + 431586086, + 299043116, + 246354524, + 185742668, + 770040294, + 367782160, + 320564786, + 814543874, + 796019999, + 918605829, + 363844322, + 843668554, + 224597959, + 662046040, + 7470391, + 792346682, + 728393240, + 210640179, + 963471392, + 690674632, + 871392618, + 681859702, + 504456696, + 548057026, + 897243490, + 943009073, + 541107552, + 436897666, + 451776479, + 648539580, + 420802727, + 607132608, + 457352297, + 892291421, + 679521994, + 506666830, + 981051652, + 854886942, + 219925035, + 73088205, + 912609785, + 449996427, + 236959748, + 925877036, + 753578714, + 445128538, + 460518651, + 397081320, + 933250661, + 818512958, + 223136239, + 530836886, + 137699630, + 253701693, + 774870726, + 468942556, + 881940685, + 760364767, + 887162358, + 906946134, + 121909913, + 862071112, + 868349776, + 800093873, + 796346939, + 428485305, + 406085237, + 939547589, + 360189478, + 710106558, + 708859361, + 381915696, + 830199936, + 912263133, + 314729984, + 176310145, + 383096287, + 620797326, + 180753340, + 408657889, + 822689497, + 244127059, + 421836576, + 684207483, + 481023763, + 715354240, + 356657331, + 636325439, + 108038870, + 528861049, + 766633322, + 134621708, + 586474522, + 920916478, + 64467511, + 655971433, + 675434749, + 606583417, + 594902966, + 694887943, + 544871557, + 205559012, + 10644127, + 614733962, + 823084081, + 872496030, + 430841590, + 984997365, + 764956340, + 126162875, + 986465626, + 666535361, + 816326930, + 201482769, + 650859439, + 978684192, + 371135591, + 751554934, + 299779581, + 809700107, + 796266075, + 801689412, + 652092380, + 650535037, + 483674233, + 207261648, + 423336008, + 985025487, + 706052647, + 911692752, + 78429952, + 338366830, + 860549513, + 32744794, + 878901920, + 556381842, + 527338078, + 333955603, + 206142212, + 581605796, + 743453178, + 30038344, + 272114661, + 106570188, + 328128734, + 517848446, + 755064292, + 428223415, + 4765392, + 896951277, + 98858983, + 117765450, + 329010168, + 522590660, + 337704245, + 780904560, + 303607458, + 646553137, + 649637174, + 23055776, + 390501556, + 116753412, + 382540458, + 520762439, + 265114649, + 12316716, + 887011575, + 273054026, + 920031300, + 525647637, + 922113464, + 742547673, + 230181150, + 309005449, + 295108096, + 422642957, + 658429068, + 430551297, + 355590285, + 994920080, + 519134832, + 997238983, + 653153425, + 830979648, + 744821097, + 254305502, + 66327595, + 771606400, + 632361926, + 948170520, + 882642156, + 213363997, + 533889186, + 47624813, + 883757861, + 519796513, + 127438503, + 930080988, + 96578747, + 842973683, + 155326116, + 238611455, + 289324931, + 650270235, + 275685084, + 904590931, + 882683993, + 636175886, + 571509842, + 466444673, + 427855773, + 847211993, + 366276380, + 897172936, + 175649775, + 166640004, + 698487903, + 904519633, + 712952916, + 157033825, + 736981864, + 388328772, + 119618470, + 791072676, + 642879340, + 98134756, + 457054610, + 934074677, + 619357350, + 781155571, + 756267639, + 700178439, + 470591204, + 133803060, + 869900319, + 943370486, + 400299595, + 515645301, + 848632632, + 105542902, + 687131701, + 67445378, + 52983265, + 699459632, + 657577783, + 609098046, + 999895748, + 443735751, + 666781907, + 687906333, + 61903826, + 375415805, + 772027376, + 17320594, + 117944693, + 780236860, + 576044577, + 482384512, + 208701323, + 756782480, + 672052283, + 646234285, + 336429985, + 868803575, + 216904612, + 338761092, + 347670003, + 646170566, + 499855316, + 168922745, + 163364880, + 289506466, + 261185918, + 892080408, + 912375692, + 937436969, + 180531187, + 469589512, + 323140719, + 345189286, + 797800309, + 534057537, + 639672598, + 109643603, + 577810266, + 71547236, + 130007223, + 982304417, + 234441019, + 651790644, + 34717666, + 174491682, + 490399777, + 29515787, + 387044068, + 968277679, + 327731141, + 544132199, + 172724471, + 482444842, + 995260581, + 846017654, + 484816769, + 494657117, + 742165162, + 955391639, + 993701892, + 747245356, + 981398460, + 316853419, + 282477237, + 271245385, + 564497599, + 306152648, + 428630198, + 357829377, + 864851903, + 830891378, + 518108542, + 916688665, + 446319060, + 979631890, + 897549993, + 343781351, + 584415696, + 570626055, + 410465747, + 862405264, + 637070170, + 697750135, + 988243966, + 879755885, + 117936898, + 730715676, + 585343999, + 615737641, + 651505725, + 64812626, + 342617416, + 625390245, + 786665076, + 76599369, + 137591643, + 640527855, + 151276807, + 82877723, + 402537373, + 849465552, + 190364861, + 71248406, + 156074777, + 272116623, + 233229000, + 654858485, + 915360762, + 867390005, + 83821230, + 240345358, + 97328507, + 551565175, + 799640544, + 518258040, + 174293115, + 774229775, + 795003215, + 668450821, + 738453621, + 337895098, + 982134160, + 421154505, + 970220939, + 77830142, + 126119314, + 760065544, + 451130247, + 180251354, + 828429471, + 505277421, + 695952325, + 247813824, + 55952036, + 107011039, + 390136916, + 132025427, + 50638886, + 601982997, + 311499825, + 606221296, + 767186474, + 499754051, + 266866177, + 174914203, + 197129670, + 806230840, + 361717617, + 887205626, + 991422349, + 624597401, + 488927321, + 224992417, + 551222570, + 810974434, + 146860590, + 608399760, + 162962958, + 769278087, + 301032470, + 190065526, + 532344524, + 187996919, + 437179967, + 489449000, + 765363278, + 808426610, + 388508289, + 407458730, + 157310379, + 275229388, + 943603696, + 961757735, + 500155350, + 362823283, + 80509141, + 745358538, + 334048707, + 986674667, + 481653514, + 720088066, + 794767352, + 570164911, + 670388047, + 293523859, + 811905565, + 167607800, + 662589301, + 275029508, + 724623591, + 130518543, + 597926138, + 356135704, + 256538779, + 157993304, + 482281190, + 250016918, + 37252878, + 855741536, + 621085920, + 529320168, + 548929905, + 515069835, + 81568554, + 286845984, + 795203796, + 442156456, + 294853036, + 116011853, + 881676509, + 510644087, + 257196626, + 678452186, + 824063243, + 506178954, + 319619580, + 342136843, + 815378008, + 582173040, + 191895289, + 181483612, + 494444333, + 647702176, + 239765168, + 737953276, + 705202469, + 802685435, + 699502734, + 105696703, + 395977294, + 303255753, + 307151628, + 989172048, + 457689886, + 956565142, + 890839300, + 648178330, + 297906636, + 665050899, + 422189880, + 510140791, + 25169979, + 22086542, + 597555734, + 690488585, + 723328802, + 127160205, + 739788036, + 54062713, + 501879612, + 33377388, + 851948736, + 138458204, + 706748313, + 518390351, + 179326422, + 640005648, + 391285626, + 835424489, + 893454682, + 316875620, + 448521294, + 48487466, + 936172792, + 258348270, + 257200825, + 897799140, + 331421345, + 681180025, + 36233726, + 595782953, + 190154382, + 873903714, + 579805099, + 803591905, + 988526337, + 200603205, + 207985480, + 213076704, + 450061271, + 516833659, + 245938435, + 318244649, + 830152852, + 337878206, + 770247061, + 591499562, + 741869341, + 998031507, + 29757644, + 69481142, + 853193126, + 152486965, + 31385676, + 57102545, + 726713246, + 400023977, + 366741112, + 465624259, + 554628581, + 346586740, + 725216711, + 40823318, + 407014742, + 365693399, + 92065192, + 456929731, + 495368501, + 719165837, + 754941306, + 555183089, + 370718721, + 477057718, + 555638946, + 870661501, + 222295668, + 621130725, + 349007763, + 908887530, + 298861753, + 274642104, + 135296703, + 525698820, + 664045039, + 798839003, + 488481387, + 718556807, + 102515726, + 820907145, + 98239695, + 252814421, + 807509093, + 484890912, + 385028023, + 498242295, + 680728154, + 673358634, + 575190108, + 69900760, + 248299124, + 867819168, + 768624893, + 272926716, + 774025317, + 741731942, + 498638567, + 899609622, + 543383746, + 39398391, + 991746406, + 266943739, + 6249874, + 525742344, + 432816904, + 437586062, + 177430192, + 353951612, + 793415326, + 485966776, + 451262695, + 822900058, + 974473111, + 985770767, + 35256174, + 608175228, + 111012505, + 626963382, + 859255086, + 667074611, + 476081105, + 25005585, + 656677104, + 943447938, + 310999786, + 662302678, + 307871379, + 496092397, + 703687193, + 261853127, + 920945583, + 583453699, + 353315955, + 93449561, + 400856294, + 497448462, + 419527384, + 503165916, + 570402054, + 770442242, + 888394804, + 24018167, + 384989422, + 526396764, + 267828414, + 892667165, + 852979539, + 921126340, + 388109862, + 302632821, + 67218402, + 520183305, + 631865, + 42473583, + 875811567, + 587678118, + 995824694, + 307403913, + 477413003, + 43637045, + 643086566, + 934508781, + 194434863, + 278519238, + 65697684, + 734699017, + 74345095, + 647440944, + 487324053, + 471288259, + 404305515, + 725484860, + 501593144, + 473402617, + 875357233, + 927703205, + 378525897, + 460643399, + 995457954, + 983732107, + 110351933, + 382207218, + 776842911, + 436892789, + 776478026, + 317492757, + 709901514, + 293404794, + 408349571, + 698847777, + 554047371, + 171083783, + 492991451, + 996610847, + 762323685, + 113510329, + 30397663, + 838880002, + 431091943, + 762375964, + 172607798, + 457232270, + 677099064, + 45278460, + 343643509, + 282625258, + 536386012, + 623572129, + 343557864, + 207070604, + 861780848, + 330391583, + 511833104, + 965356500, + 587941588, + 337025890, + 993047653, + 893757507, + 672069728, + 775613381, + 598565832, + 326239915, + 105977085, + 730819118, + 578500584, + 398057537, + 694244654, + 196234371, + 683922872, + 102803749, + 975923839, + 494999817, + 796753065, + 863892375, + 178765463, + 595478050, + 245851555, + 144123548, + 486316682, + 72750528, + 971034115, + 791098315, + 625161960, + 981414822, + 547863718, + 809825678, + 619238372, + 518295366, + 771946608, + 781731531, + 421288664, + 810681132, + 327301511, + 68400981, + 961865539, + 303987364, + 812935869, + 629615935, + 992087106, + 384044584, + 764838825, + 422725808, + 753265590, + 631445652, + 462290739, + 506992702, + 472954955, + 166943075, + 455996332, + 330052972, + 183166519, + 767450388, + 151919399, + 777694151, + 115624868, + 693126730, + 412742918, + 276339699, + 909723994, + 394123835, + 985644098, + 231096412, + 455939495, + 740444731, + 48714941, + 77890466, + 829855699, + 418294928, + 664555361, + 206530268, + 828001660, + 874766053, + 173358247, + 87577803, + 592437381, + 710160379, + 960044147, + 913323848, + 701377318, + 46124061, + 54918782, + 420168371, + 332471514, + 985092099, + 823399348, + 148399866, + 307383818, + 16213463, + 504372371, + 873625182, + 491035599, + 355905572, + 604229139, + 223841323, + 832213544, + 809051856, + 576426116, + 246562658, + 303648726, + 475713113, + 608345795, + 713411653, + 888314094, + 791340526, + 957322683, + 26686115, + 51274608, + 739073967, + 467320292, + 212273973, + 27844327, + 312936692, + 250128509, + 958172002, + 939444925, + 24829943, + 789897700, + 507218351, + 990421421, + 345219169, + 458579551, + 999240212, + 62418172, + 302875064, + 602065114, + 489975482, + 878639391, + 300376549, + 934341092, + 398829507, + 555651244, + 569867008, + 67830210, + 116511934, + 976691791, + 211950031, + 749615015, + 206366932, + 439818204, + 489308365, + 676442434, + 212643114, + 415783683, + 246774938, + 670542717, + 18229470, + 770718221, + 575125493, + 927650943, + 945829304, + 705015784, + 518411848, + 830943364, + 456938958, + 159519816, + 884411123, + 994404654, + 880211885, + 965379788, + 268527564, + 801818286, + 463878275, + 346570963, + 296150583, + 533421253, + 519799584, + 261107120, + 783578107, + 75750668, + 323045039, + 842065704, + 553132250, + 934115055, + 172493117, + 538664758, + 512418833, + 762587782, + 911160168, + 923967341, + 248955833, + 470174105, + 647715169, + 414552925, + 995787501, + 176515683, + 322124607, + 494349245, + 404491574, + 17216156, + 889146321, + 719918986, + 244003005, + 69526277, + 695234226, + 891023596, + 585643813, + 100434614, + 608979324, + 139781049, + 917796181, + 551474055, + 874197933, + 516895152, + 816721310, + 358740415, + 492566391, + 902326068, + 249923216, + 467968550, + 653410255, + 70654445, + 380836438, + 233868101, + 466952143, + 38058659, + 143801568, + 445048836, + 350920626, + 484240715, + 952709258, + 762473188, + 218610389, + 261956298, + 21050248, + 418963634, + 415553761, + 496409839, + 527711721, + 674519839, + 843545729, + 409402862, + 77673808, + 979049110, + 918664627, + 560700313, + 629109723, + 233956118, + 901021113, + 159067317, + 89409801, + 32571748, + 129959394, + 361073304, + 417040468, + 950492025, + 207292303, + 790947402, + 572854057, + 465102550, + 355581225, + 947651879, + 890480655, + 658086407, + 568202192, + 633151036, + 904720416, + 160157293, + 648138244, + 382366937, + 16670061, + 590902725, + 628488936, + 615628483, + 710398817, + 316899145, + 820020039, + 878797957, + 579239004, + 68407657, + 257158384, + 687972923, + 368350212, + 183696140, + 65715779, + 243837687, + 417290533, + 839661178, + 808931610, + 711708609, + 960681546, + 927390508, + 322942423, + 111333242, + 482124557, + 241502646, + 353908716, + 46258546, + 179195093, + 802890799, + 485078041, + 182647679, + 519492079, + 489804609, + 595355196, + 677020555, + 976007475, + 136361609, + 123681008, + 386329250, + 996829780, + 718018578, + 827574023, + 766047874, + 552808213, + 151079121, + 671571059, + 701964781, + 611817126, + 782061936, + 418257922, + 65065911, + 203739513, + 498954865, + 514866542, + 240946480, + 700023022, + 72041340, + 612723580, + 585572021, + 398615193, + 645978474, + 533267271, + 957736093, + 303625272, + 16044192, + 334142717, + 593750782, + 725026017, + 709596173, + 445444613, + 39014455, + 551926971, + 438923583, + 252232395, + 652149870, + 171242181, + 662343698, + 829821118, + 620437081, + 863574996, + 553581994, + 655462169, + 793786933, + 966681584, + 279613643, + 436537708, + 758154659, + 233406500, + 172493877, + 174761113, + 652961074, + 720739691, + 698553783, + 747641610, + 88165354, + 929433707, + 63511742, + 173769838, + 849646351, + 837219068, + 838766033, + 115908575, + 821430693, + 719797024, + 86977358, + 883285888, + 381497789, + 281148014, + 466806421, + 346048288, + 487431479, + 754295499, + 343779927, + 883719395, + 136352912, + 374892514, + 577691385, + 443382753, + 513771230, + 201295366, + 129400269, + 589116209, + 365044718, + 875909379, + 867537118, + 230125326, + 224437041, + 594977356, + 544791242, + 9309556, + 2403225, + 67329345, + 113974143, + 642521759, + 531456406, + 547053106, + 916954886, + 762993534, + 25827077, + 501109909, + 378502384, + 209059283, + 523060594, + 666768822, + 237304759, + 702984439, + 731413650, + 799665299, + 853614503, + 393660400, + 180808946, + 731750044, + 836567176, + 136492363, + 397960194, + 825719167, + 531226240, + 65845448, + 911491861, + 521893743, + 465942080, + 104309263, + 921015595, + 466323383, + 680318523, + 145693972, + 660226238, + 2002506, + 389946126, + 621208232, + 541499088, + 29130143, + 957437004, + 91616250, + 995991480, + 292507020, + 518811718, + 645439120, + 642088395, + 56278298, + 45014158, + 732864960, + 243021652, + 785767518, + 595740221, + 447430378, + 442037466, + 252310817, + 126463849, + 166078043, + 920439658, + 692501619, + 967062902, + 109703786, + 159358652, + 292888350, + 286946163, + 794465073, + 953896184, + 488696367, + 694447833, + 514077884, + 623698384, + 889122540, + 988330414, + 719823643, + 43099113, + 783347634, + 671180022, + 227811921, + 34734668, + 831445387, + 172104314, + 718903769, + 726053943, + 430235276, + 612957612, + 536751428, + 420009525, + 140318079, + 599216181, + 510389499, + 798001035, + 176714560, + 983429806, + 4677472, + 817201122, + 887199114, + 229220400, + 109743706, + 807522285, + 796087868, + 669220175, + 601686973, + 81102324, + 602514165, + 73663214, + 752319520, + 662264236, + 659862950, + 637704911, + 754783782, + 92575578, + 987404276, + 949971578, + 835385227, + 931470303, + 880576948, + 618263818, + 296196519, + 113105588, + 767714964, + 2278594, + 353673830, + 305173248, + 711802783, + 277857267, + 336268075, + 580185159, + 904664696, + 229692712, + 398114547, + 945075489, + 800710525, + 170378046, + 785456337, + 564328581, + 994896889, + 667945259, + 81001836, + 349635475, + 700002131, + 546577256, + 523288510, + 178830909, + 240298462, + 84919439, + 223369076, + 224624250, + 177534472, + 717814797, + 377129908, + 181061434, + 450944266, + 932216735, + 148782910, + 584803947, + 354754710, + 737323285, + 354999978, + 158087133, + 403063225, + 962796625, + 194293808, + 918848289, + 402965168, + 667782082, + 112424708, + 670411841, + 294868685, + 801715899, + 932495574, + 408765928, + 591638641, + 822866402, + 68263756, + 220210485, + 638843804, + 597246151, + 366206532, + 253487013, + 321148092, + 629169193, + 802954307, + 840715490, + 170104554, + 177789020, + 203018664, + 758495139, + 838387061, + 681785218, + 651264158, + 358689434, + 250791885, + 810478601, + 721794311, + 344711552, + 372846269, + 423598305, + 150952440, + 84748862, + 646502257, + 863921611, + 644845902, + 277811761, + 521487702, + 364861491, + 95604818, + 455611392, + 724318205, + 650255808, + 153628075, + 327581629, + 477706750, + 750700531, + 351309982, + 244853671, + 600837550, + 404174399, + 549152188, + 574079186, + 709846238, + 623164232, + 259257009, + 162263739, + 810210546, + 918124580, + 144571337, + 56788400, + 147905858, + 545729866, + 201411566, + 599456185, + 471622779, + 919007752, + 241080123, + 682835498, + 983937044, + 446435730, + 945906122, + 589737193, + 745709079, + 512476683, + 963627819, + 221027097, + 350768254, + 375727501, + 647316329, + 18683035, + 349547850, + 286667764, + 16293965, + 446083949, + 981094735, + 870927667, + 868739110, + 976661508, + 65175929, + 472726220, + 578139078, + 815300038, + 394781459, + 333888493, + 471377795, + 58901649, + 735836776, + 408504573, + 148214577, + 881363648, + 464661601, + 534174692, + 380691076, + 895416727, + 602877364, + 866918970, + 566691272, + 576641452, + 482543394, + 460418436, + 386704507, + 816884897, + 983259294, + 117135735, + 677645174, + 234213350, + 816419238, + 943285126, + 438214421, + 423243125, + 27865639, + 757982447, + 991362237, + 592722701, + 805752136, + 935959959, + 342668517, + 317421329, + 128037771, + 840852495, + 889166971, + 748591259, + 760492811, + 496882038, + 878296790, + 849442641, + 850883852, + 65236171, + 309272990, + 583222921, + 465397108, + 285670366, + 304452688, + 557657084, + 880389805, + 38641105, + 154228269, + 856397665, + 316154076, + 687898914, + 979320295, + 638298592, + 459222319, + 752088173, + 922102754, + 114176958, + 307032142, + 676622702, + 523860672, + 658004157, + 721684275, + 17195963, + 798482930, + 244434269, + 352554861, + 687326174, + 366473399, + 543754571, + 736830796, + 519908879, + 831000168, + 51643123, + 997008977, + 230670829, + 580627594, + 279305748, + 315248836, + 669440377, + 169524490, + 39199662, + 296718757, + 771893518, + 918588919, + 827816302, + 196339611, + 502277162, + 990006215, + 983852595, + 882289341, + 308527219, + 537569531, + 915782909, + 702111537, + 550704520, + 557828253, + 943698148, + 248418936, + 342955751, + 933197852, + 340708015, + 496074483, + 196531117, + 337796894, + 81549277, + 51086747, + 753467781, + 627767204, + 689486741, + 175123045, + 610898300, + 31905517, + 440962231, + 181523729, + 823983124, + 231811186, + 33296080, + 847182087, + 699255409, + 958890142, + 303676846, + 462048041, + 558807079, + 216810094, + 819465833, + 248355457, + 186660198, + 759307899, + 711783195, + 228017511, + 805108908, + 835032343, + 505821695, + 312222322, + 646057774, + 268275680, + 427320464, + 828525775, + 684616028, + 512062368, + 732444731, + 590402042, + 937541389, + 827410738, + 263859008, + 264133543, + 48811408, + 274824270, + 317370719, + 903210025, + 965159828, + 286933033, + 20439728, + 547380658, + 487372701, + 753492677, + 78901656, + 585010131, + 289998581, + 968890289, + 76190630, + 842697153, + 948092837, + 90707981, + 105540581, + 521186842, + 596708234, + 202486108, + 318456535, + 51046344, + 47323987, + 630682720, + 388059705, + 906762321, + 772664000, + 271319623, + 14953562, + 305819364, + 638503283, + 326860453, + 263627347, + 181910737, + 289239205, + 578571383, + 901793231, + 18876324, + 770705189, + 142064615, + 916913729, + 395193970, + 250020153, + 18744907, + 736832061, + 151920930, + 341648633, + 177045183, + 186598794, + 549474461, + 486699745, + 602504200, + 667460303, + 652473499, + 505572411, + 692860583, + 593697343, + 621654860, + 394110136, + 796158926, + 313985101, + 136154999, + 281335981, + 438855673, + 201569225, + 162349639, + 755011712, + 655934239, + 825405401, + 723024708, + 654813557, + 991335689, + 130106891, + 133673409, + 461861464, + 980669085, + 162133069, + 803292025, + 808452056, + 230956484, + 727279753, + 375662963, + 182329649, + 78642792, + 174795892, + 145421651, + 583974269, + 412805246, + 70489617, + 162412821, + 759849388, + 326291212, + 47796241, + 910063256, + 784650205, + 347364078, + 372181798, + 584482250, + 152824871, + 206494068, + 24226320, + 726132935, + 420496386, + 862292314, + 227082843, + 559714901, + 557205438, + 426979968, + 494489599, + 502235324, + 1711233, + 294512699, + 289442098, + 755596690, + 823002055, + 146867568, + 939604013, + 776068590, + 337101256, + 726027215, + 927277631, + 101217214, + 2515924, + 401913403, + 160036808, + 577545223, + 610757467, + 674452980, + 514749692, + 199524, + 222878231, + 462852188, + 630981576, + 511133957, + 953247907, + 716652086, + 665797138, + 995982466, + 197985782, + 109395425, + 362333439, + 203926749, + 841505612, + 453667724, + 930855094, + 138607912, + 284857710, + 891402800, + 808647926, + 372376871, + 451961478, + 30335963, + 212408542, + 931647748, + 880732298, + 909292898, + 715618793, + 340196968, + 627092366, + 991879998, + 487061701, + 959082597, + 803594579, + 132378013, + 404322236, + 534025560, + 863166986, + 874609411, + 971361212, + 435274099, + 808426375, + 758540072, + 618314760, + 542863883, + 369970344, + 924780878, + 251028711, + 855973225, + 968439363, + 688679248, + 761133170, + 773706712, + 160145093, + 154955355, + 85535639, + 113676056, + 779428221, + 890892940, + 236765627, + 936041824, + 422337656, + 733034539, + 97889174, + 789154270, + 988986140, + 283635521, + 686870549, + 566448216, + 926944547, + 130856677, + 477818075, + 999051991, + 142908712, + 780469103, + 955418446, + 12671596, + 203508303, + 396308488, + 15958049, + 80942206, + 998856618, + 286366185, + 773185030, + 337242896, + 247068161, + 572397404, + 959747069, + 780375337, + 920473359, + 762358669, + 96348666, + 191628956, + 359912500, + 894377997, + 383531122, + 992513374, + 863114411, + 123223475, + 331117281, + 111454815, + 146068159, + 17998919, + 792081960, + 324095230, + 740738385, + 4538105, + 23760733, + 361416907, + 112179756, + 640495097, + 711389633, + 393175299, + 904470866, + 849687846, + 166196956, + 854521106, + 769661475, + 431616954, + 47225919, + 357753241, + 100502841, + 435870170, + 522505406, + 787143188, + 777281050, + 544006450, + 115850087, + 776187856, + 756841900, + 728363744, + 487879185, + 480237569, + 626136148, + 680884811, + 198794370, + 600833948, + 312835782, + 86755558, + 226055073, + 84841663, + 799070048, + 110725383, + 507796270, + 121213442, + 914122816, + 236639969, + 91225487, + 509205021, + 241955340, + 554195290, + 102788987, + 532764824, + 235979035, + 998199025, + 519521535, + 708147275, + 370965510, + 717195102, + 287307171, + 901568896, + 196770293, + 789106566, + 788021202, + 320815433, + 829344743, + 510897421, + 226210105, + 889983693, + 748420295, + 269793495, + 605485694, + 998344298, + 417777609, + 315159805, + 595333107, + 266213833, + 817869714, + 84565829, + 26254617, + 978680066, + 642599485, + 901946470, + 883737561, + 490388772, + 620297946, + 769128005, + 471259975, + 878969186, + 915349389, + 489046350, + 942542467, + 658807378, + 585809855, + 28095267, + 32487163, + 124850969, + 475871183, + 847426710, + 540954617, + 845394691, + 253340775, + 14449069, + 221867263, + 215042554, + 88127131, + 396013609, + 207768642, + 828687069, + 323677791, + 172338493, + 390096979, + 435490697, + 720454955, + 597604713, + 655675881, + 103210493, + 66790975, + 385988438, + 721779116, + 23253398, + 114728284, + 742143852, + 227586237, + 130918121, + 715557492, + 7489087, + 15348326, + 686882858, + 985097392, + 477011273, + 471349465, + 948082076, + 56048970, + 95307897, + 879641798, + 236062681, + 418679563, + 595683699, + 833377412, + 241666732, + 500347542, + 179639676, + 748742510, + 358838083, + 700083763, + 491514724, + 363817309, + 796484073, + 352543013, + 692281114, + 853957450, + 848210620, + 160490076, + 646460693, + 676518066, + 532161387, + 568097782, + 955767818, + 573567415, + 224496004, + 6956404, + 711161963, + 720761647, + 862038307, + 283740191, + 463515502, + 500709594, + 250943765, + 26005570, + 966322209, + 231094183, + 553690511, + 533821231, + 938893141, + 959012379, + 36426698, + 759199812, + 674926136, + 997232536, + 215452537, + 712321224, + 522709672, + 851734082, + 183284157, + 685126017, + 316258728, + 351785484, + 26090119, + 847797045, + 261812345, + 475486673, + 556190962, + 105807444, + 464714838, + 827565151, + 502851926, + 179000117, + 38179848, + 831576208, + 955753969, + 575065051, + 903029051, + 286214098, + 530212463, + 158068856, + 559040597, + 442502743, + 162096310, + 14441422, + 549209899, + 687095400, + 187906450, + 589159800, + 874658086, + 744488200, + 683596034, + 13475911, + 600132368, + 619066920, + 764773595, + 381069003, + 348340709, + 675278253, + 371895550, + 581459614, + 614028431, + 639445191, + 794266771, + 256171548, + 745242270, + 123406029, + 608590605, + 827544780, + 720304329, + 468994185, + 556249330, + 627413, + 483246293, + 54452325, + 104175791, + 555424203, + 166577823, + 488132449, + 453713239, + 130091690, + 780607593, + 880774575, + 13466214, + 625531798, + 732519845, + 86631301, + 510777233, + 33188062, + 399558906, + 355647493 + ], + "output": 81317 + }, + { + "input": [ + 413731335, + 708336615, + 580085319, + 965787266, + 153396535, + 591706899, + 72721949, + 674953891, + 25636195, + 948911655, + 310850223, + 386611508, + 121141727, + 808100, + 298392873, + 256726253, + 175205914, + 187915309, + 657868217, + 431814216, + 270931564, + 482808416, + 846581830, + 969190130, + 202954751, + 344941064, + 305956776, + 519071697, + 98968590, + 316288473, + 771386513, + 321406714, + 666237611, + 369058382, + 125237637, + 797497392, + 5605464, + 40734473, + 275360753, + 238178478, + 800575742, + 719846386, + 716241553, + 915332913, + 721102739, + 941978111, + 645458450, + 171452992, + 829709893, + 754359272, + 673003152, + 644744845, + 216541790, + 734948943, + 683613208, + 838534829, + 603081028, + 815431649, + 352087711, + 140211730, + 293284204, + 22469334, + 897099441, + 791488292, + 99266880, + 979355467, + 373745765, + 90037547, + 961655046, + 309461745, + 193364737, + 124234102, + 582986, + 857155781, + 228344949, + 278300939, + 171852962, + 238194209, + 602079420, + 325459203, + 761636070, + 560540757, + 683762146, + 536611697, + 108084330, + 89997168, + 174648446, + 699417636, + 368273871, + 239270231, + 391868945, + 609215741, + 700049755, + 809741386, + 817163827, + 871100123, + 346868100, + 861099090, + 644271475, + 394272061, + 490454401, + 644394657, + 881767225, + 834599122, + 287498283, + 375092578, + 420342855, + 4000933, + 211111295, + 212319923, + 781867875, + 267537512, + 341625517, + 413656489, + 801281415, + 594434, + 801007943, + 321374765, + 907027605, + 605118147, + 336984727, + 279791512, + 871713172, + 485049515, + 153294539, + 197724101, + 978374901, + 553433438, + 962255541, + 915612957, + 249146722, + 98268937, + 762756724, + 345221529, + 29371830, + 214098867, + 322318837, + 111719620, + 673731698, + 561512126, + 450358741, + 930383888, + 694012077, + 721782616, + 915076595, + 700166359, + 957949767, + 620792132, + 357407477, + 144854746, + 967423508, + 376914401, + 149002547, + 512037393, + 356617712, + 823634069, + 917894576, + 234526984, + 833909698, + 801274627, + 237940936, + 361945441, + 840951465, + 88002496, + 113299508, + 183236224, + 223963566, + 192532708, + 955943454, + 582845092, + 684863998, + 974926659, + 434490852, + 666925621, + 951922254, + 948781769, + 269592311, + 986648341, + 785123125, + 838865814, + 943287768, + 584171302, + 28570371, + 631314234, + 781596115, + 443217680, + 333204827, + 241415409, + 213999286, + 413781985, + 310232141, + 999044622, + 628588643, + 978380099, + 824326324, + 797681320, + 156693224, + 112145784, + 947601358, + 950562974, + 494537697, + 402120769, + 7114010, + 937456540, + 567410413, + 128875397, + 521652145, + 730976213, + 867588791, + 635633782, + 39059846, + 110144999, + 670754947, + 86063238, + 728593109, + 354849737, + 957362000, + 748743772, + 770989822, + 567276943, + 791676823, + 252069739, + 956291521, + 293971084, + 732418410, + 573495473, + 473709615, + 151288094, + 178720569, + 744989963, + 775285848, + 106362128, + 746619571, + 630679516, + 335103311, + 886547599, + 427348844, + 788963434, + 720701036, + 316032412, + 488895813, + 508908871, + 980926474, + 38871807, + 25448939, + 743692941, + 975164034, + 305042452, + 386000934, + 292726712, + 271695008, + 870759, + 105884490, + 94235554, + 315968749, + 913527536, + 925914200, + 744330646, + 958804076, + 145076876, + 441496119, + 402285014, + 172213728, + 169337806, + 861042534, + 586556348, + 199614766, + 236678927, + 914626419, + 656747484, + 536165158, + 199529608, + 396479791, + 69286094, + 19800830, + 903654001, + 236553158, + 747469314, + 777537787, + 270415574, + 149388146, + 74400287, + 408750353, + 289661278, + 321944803, + 65274776, + 792999794, + 663706642, + 175482094, + 813034331, + 992430157, + 287882232, + 438487982, + 427977428, + 612396567, + 119920863, + 940603084, + 465669645, + 162707962, + 462939356, + 878376176, + 930982098, + 606577721, + 926425328, + 406992069, + 669793207, + 545976193, + 728185279, + 796354077, + 542883079, + 181147355, + 465623475, + 686865566, + 663350157, + 63513768, + 137935593, + 917565590, + 886870659, + 11445436, + 800849397, + 470104196, + 920935548, + 495365622, + 956450015, + 448479631, + 3029746, + 829993242, + 637419854, + 275364113, + 366817830, + 225756186, + 827038380, + 237179227, + 950321772, + 751840365, + 118100349, + 248412969, + 265898443, + 715451284, + 917768105, + 304928619, + 842114964, + 385856998, + 321836303, + 299829327, + 840288592, + 330976027, + 109072258, + 788020064, + 792750432, + 556960388, + 916688334, + 200152808, + 996937287, + 855926397, + 676215528, + 212492739, + 649660265, + 970060576, + 267597002, + 167781870, + 206955139, + 430916249, + 748609618, + 515896812, + 803033637, + 793689075, + 548534581, + 538324103, + 183411531, + 201243818, + 599537504, + 700391144, + 557911654, + 51996414, + 548944151, + 158261211, + 616006451, + 111582550, + 621224415, + 340902531, + 943885077, + 743256658, + 196911496, + 872411722, + 976923959, + 955308225, + 833507771, + 24017746, + 540185215, + 163122054, + 943017611, + 855797206, + 816165484, + 374728161, + 982580543, + 494547501, + 715216836, + 871502321, + 182940591, + 709230709, + 557987404, + 392819334, + 906114528, + 398796636, + 565543554, + 537027209, + 187854476, + 279930917, + 363397967, + 229580194, + 24015436, + 39306439, + 668000971, + 422475936, + 959728478, + 429088887, + 344077326, + 419642544, + 30275043, + 894648164, + 681893497, + 60418295, + 923875981, + 478237376, + 53166924, + 256824820, + 120238770, + 76801085, + 850766631, + 343951556, + 551986164, + 15782546, + 612560189, + 817881999, + 902536232, + 483356197, + 768100923, + 835058136, + 80866190, + 856731801, + 332392883, + 369822756, + 599059558, + 153250436, + 677183121, + 799588468, + 276867444, + 571407204, + 347549505, + 278312466, + 966210989, + 200557664, + 150037612, + 417386225, + 824570285, + 342316941, + 490373184, + 484095345, + 885418724, + 106013468, + 902998002, + 576464868, + 212026191, + 134921934, + 264730231, + 173416926, + 426686639, + 496806619, + 219824633, + 93790039, + 650501396, + 883577034, + 109886354, + 19184042, + 583601582, + 214197200, + 8849132, + 908027782, + 473886796, + 207044992, + 76840755, + 835555470, + 998541685, + 78688441, + 2827655, + 714460831, + 806380957, + 556238150, + 702580286, + 567714041, + 243230630, + 86720563, + 62701673, + 215853615, + 78188446, + 691994899, + 116965365, + 900179597, + 512174404, + 757720584, + 302245326, + 929726034, + 773131145, + 122947131, + 768574752, + 461913631, + 545297838, + 711952955, + 799755660, + 667207693, + 387016143, + 753348286, + 158279966, + 716779547, + 609894386, + 437866035, + 97646589, + 753477047, + 281498129, + 591705538, + 46827770, + 32682921, + 858190303, + 665669424, + 45444551, + 223380929, + 878307807, + 736007544, + 861020535, + 590178625, + 634284662, + 399756223, + 87368198, + 886429843, + 686766055, + 276174149, + 521120704, + 613108288, + 849052145, + 146646259, + 250221263, + 612027197, + 623760543, + 206748793, + 922383026, + 270229216, + 151607509, + 716259767, + 968705433, + 123403254, + 866296346, + 564391485, + 963039068, + 356790218, + 988067875, + 418524951, + 893380393, + 171779163, + 64755481, + 548151237, + 788971640, + 841725143, + 927643523, + 786340731, + 630290254, + 176806686, + 605885633, + 892104570, + 501043790, + 345946105, + 679562320, + 665783998, + 217185772, + 381219151, + 882628296, + 608473379, + 332805512, + 56566108, + 925585918, + 83015590, + 254176096, + 932334129, + 288039543, + 457713543, + 846359446, + 193969957, + 636900718, + 329621267, + 639165997, + 963448136, + 223944067, + 895146022, + 557647432, + 646539153, + 232139458, + 32228366, + 333162038, + 451494641, + 629478700, + 30768043, + 118435128, + 182388584, + 283986470, + 884752985, + 45516620, + 264728776, + 93124502, + 232682795, + 407730356, + 454644103, + 560670331, + 206494864, + 665484115, + 747835656, + 869491083, + 554345470, + 29516098, + 852742245, + 42655265, + 425852606, + 50663716, + 516189766, + 321400450, + 718188085, + 203454416, + 278541624, + 597682318, + 587039170, + 296368722, + 732535579, + 110714948, + 937555221, + 347954526, + 724477753, + 620055420, + 284402158, + 146124168, + 763015906, + 953936077, + 673788060, + 825563655, + 735934087, + 426531771, + 517511130, + 932554319, + 189329293, + 292900931, + 55161390, + 310959308, + 483535385, + 997199345, + 973244766, + 612355413, + 954308705, + 984859433, + 359607273, + 743175474, + 35022266, + 959417310, + 136718697, + 926594041, + 516356542, + 74705318, + 337746782, + 896018366, + 899482249, + 300926791, + 696835683, + 673231212, + 562571404, + 776555855, + 939619077, + 838564848, + 636538558, + 253050192, + 683060504, + 984688992, + 307974244, + 283372334, + 778956955, + 689761985, + 406481107, + 14291891, + 347227620, + 69625173, + 579166626, + 41424192, + 879126995, + 456955392, + 663010276, + 717612835, + 963318115, + 736922174, + 484654684, + 791843641, + 38579674, + 795825389, + 497339006, + 434806962, + 652390131, + 345940390, + 93907458, + 645962363, + 284085320, + 163961521, + 675082385, + 107379399, + 235054852, + 306850097, + 267194775, + 12475538, + 398394422, + 945322302, + 85066595, + 58335379, + 93083420, + 937646795, + 265322953, + 414848641, + 628546849, + 885605272, + 611960029, + 71300872, + 707529456, + 203519640, + 904855747, + 947758838, + 469804206, + 528116603, + 982081061, + 373012403, + 180752230, + 747937832, + 446414086, + 462683272, + 885011593, + 754054680, + 713881233, + 135380616, + 551436332, + 758717175, + 455031398, + 146912511, + 649989274, + 358754299, + 248111693, + 839059227, + 729934034, + 665481302, + 850532818, + 269804145, + 651283525, + 477837349, + 937048296, + 485581230, + 483691200, + 121639719, + 674411996, + 42051473, + 254999016, + 334506778, + 345294312, + 356534241, + 623031843, + 627940204, + 455563997, + 852758338, + 665197802, + 381757926, + 439627824, + 648049707, + 135323521, + 109739298, + 888047617, + 563577448, + 432935334, + 864669427, + 950560113, + 633179031, + 780669622, + 907134460, + 198717665, + 890665536, + 457587904, + 184484965, + 81276651, + 769854047, + 45405839, + 208140976, + 637347877, + 228873096, + 465752861, + 280407394, + 752168231, + 711650345, + 88894179, + 697828595, + 213659810, + 568041834, + 347149794, + 915180944, + 716092361, + 766407138, + 149345188, + 101330956, + 597732507, + 19821446, + 689477539, + 371841395, + 139447671, + 144679961, + 784762364, + 808896792, + 172847976, + 853629079, + 628430389, + 488459291, + 300400394, + 891468567, + 815692958, + 523045758, + 177388290, + 773739145, + 397110752, + 958194515, + 640761148, + 646682357, + 677658927, + 947047201, + 158130416, + 345388562, + 849454439, + 476040908, + 67076603, + 74483251, + 270237006, + 434145305, + 679391888, + 239209888, + 575743537, + 947020258, + 29982786, + 65339228, + 293454639, + 795063205, + 246857433, + 783907320, + 393630647, + 568762951, + 306074758, + 922988635, + 694819402, + 970879428, + 455679704, + 212376216, + 997776697, + 855423864, + 677069322, + 310592112, + 91567111, + 921453754, + 225429190, + 371350941, + 235957205, + 707966988, + 501175677, + 565691995, + 738955477, + 33396184, + 162724691, + 731371019, + 399931965, + 561248316, + 976210094, + 409571727, + 573027417, + 517715106, + 369660110, + 178210695, + 560019596, + 252599420, + 415898413, + 328290766, + 386753946, + 719202808, + 180165193, + 925409999, + 597842541, + 664280152, + 994655470, + 989054279, + 221977146, + 608096993, + 177671408, + 127619823, + 388409434, + 363703327, + 865203222, + 802778059, + 219558153, + 303955686, + 626020841, + 578270154, + 457779398, + 481976299, + 781708969, + 944998681, + 667066644, + 507859378, + 691276117, + 375307211, + 300374293, + 694615978, + 88932354, + 954566837, + 570053458, + 325505751, + 392936053, + 141709077, + 714641953, + 340246795, + 158983891, + 856453030, + 476861855, + 560448974, + 221576372, + 772448208, + 57062508, + 132293472, + 498376038, + 416156538, + 865353333, + 154858954, + 927836276, + 907216222, + 846558843, + 676462152, + 434378702, + 866314004, + 670415126, + 904861588, + 850418999, + 302975282, + 984827028, + 345577260, + 554134319, + 544854958, + 565596774, + 310366024, + 17910569, + 918313569, + 334051047, + 899956946, + 382511654, + 160117597, + 720442857, + 379556402, + 877458950, + 292765966, + 699918481, + 550858665, + 111545290, + 820881785, + 993301842, + 308445312, + 136113246, + 919317248, + 76541674, + 467027571, + 593287573, + 342598357, + 478869556, + 453782080, + 535498761, + 512863157, + 340014702, + 827734938, + 449353949, + 729077402, + 22276351, + 736766269, + 393531337, + 745679509, + 279935525, + 493997536, + 832023340, + 996919625, + 606430248, + 252205601, + 527759321, + 825971028, + 848848206, + 718311826, + 783199109, + 384897174, + 432343008, + 107686214, + 610382970, + 627198023, + 929646503, + 358786231, + 800923701, + 256403902, + 631903868, + 958679879, + 606442146, + 521617517, + 138742386, + 526546010, + 943515984, + 931671476, + 812513572, + 786285022, + 8034113, + 405396209, + 95714134, + 92277382, + 477747542, + 799940327, + 896793430, + 494787896, + 592010774, + 8371281, + 53712796, + 640875897, + 272634160, + 154239003, + 166722024, + 326851209, + 664982616, + 183225438, + 777672419, + 695421105, + 532798499, + 185272727, + 269208992, + 54031602, + 303491895, + 508076960, + 38161764, + 669458990, + 763700802, + 133768885, + 66571419, + 332765184, + 286080219, + 410370061, + 865414802, + 106340020, + 607411838, + 686468455, + 980674668, + 572196789, + 350654464, + 263288280, + 591573645, + 272716357, + 661662832, + 17301381, + 846253425, + 276239867, + 710925627, + 345850488, + 172748944, + 720276497, + 830664775, + 208822833, + 269604920, + 309099484, + 982317947, + 314986552, + 773287077, + 750600270, + 833813410, + 273508835, + 581329099, + 649800751, + 988757236, + 268663805, + 233155640, + 439200021, + 704711916, + 340428817, + 88324629, + 739318435, + 805208225, + 30214482, + 11667106, + 880231600, + 296234196, + 202527775, + 272785462, + 85570851, + 206930524, + 158405208, + 744852941, + 496308108, + 430260873, + 581774515, + 389483578, + 644217884, + 978644595, + 309731298, + 823169165, + 868280281, + 221049982, + 978450207, + 856046889, + 206461635, + 701897057, + 433780053, + 481339485, + 61330756, + 799145541, + 911167866, + 207488723, + 610636375, + 405869894, + 102341409, + 623531841, + 371294189, + 482933052, + 821832287, + 395455790, + 365373327, + 859899797, + 188750301, + 157327886, + 201708214, + 981655148, + 568593284, + 11447376, + 704056583, + 853691294, + 929765718, + 867689661, + 652778673, + 678736806, + 29907996, + 587751788, + 430040407, + 167489770, + 206790429, + 32739086, + 998488865, + 731108511, + 145848401, + 802725720, + 632434616, + 570700852, + 531114033, + 247323014, + 509584135, + 854169338, + 984936008, + 812785848, + 780268263, + 293665316, + 933357329, + 900522410, + 216913150, + 658392842, + 82729587, + 928020201, + 246542059, + 629954375, + 676441382, + 640169483, + 609881129, + 893816886, + 762131991, + 395270473, + 402346057, + 192443411, + 219215208, + 76092517, + 676589808, + 987095262, + 105540739, + 754070186, + 87970786, + 936906968, + 479684644, + 157227726, + 843034713, + 780789152, + 991684617, + 989012687, + 713638928, + 845462838, + 633572721, + 527597588, + 187970877, + 551924609, + 908104139, + 356526509, + 947973846, + 287531904, + 368884759, + 754952633, + 795545133, + 67745136, + 781670999, + 519061099, + 944914594, + 656745076, + 679249536, + 847332578, + 294172234, + 816163130, + 555879280, + 970069641, + 863387397, + 38409322, + 355818671, + 760099475, + 531856656, + 53936327, + 279823079, + 948140990, + 965518126, + 353922218, + 200829283, + 603711874, + 755229679, + 321801256, + 430960874, + 602148374, + 885553559, + 789093929, + 711154245, + 664739264, + 228600828, + 307829014, + 103639007, + 651476143, + 8138101, + 823388907, + 878957621, + 691461309, + 659327330, + 489912293, + 413049832, + 177972834, + 275307680, + 876023238, + 768807355, + 826587272, + 736672976, + 216435475, + 487349073, + 607079682, + 883922293, + 23948295, + 886188621, + 546760920, + 207095748, + 321301745, + 290036870, + 669825611, + 621498370, + 301925206, + 925691420, + 335354994, + 429424789, + 591585472, + 524613200, + 339984036, + 900359720, + 92923328, + 905892915, + 201371015, + 690420231, + 90619015, + 246443495, + 186347028, + 805764862, + 353280814, + 285368182, + 354402441, + 323023485, + 396364199, + 718622780, + 832184, + 600785897, + 115313110, + 762948544, + 451458935, + 416157136, + 780261318, + 946846801, + 488731555, + 467329511, + 741703242, + 2309424, + 58553289, + 147950607, + 543848335, + 482709470, + 483232376, + 933160747, + 905623908, + 271978875, + 731550634, + 92537489, + 931298197, + 372604386, + 820892540, + 706933772, + 866427648, + 681435659, + 87791021, + 962277540, + 702302773, + 612418274, + 566586339, + 531418163, + 212012934, + 22420066, + 116294017, + 427298032, + 588188941, + 480754582, + 958970820, + 635445821, + 461684313, + 25237641, + 707708114, + 285421054, + 636979498, + 534488517, + 134537996, + 573651066, + 778211996, + 297152349, + 981990991, + 94330261, + 267544507, + 607774534, + 742960351, + 750790892, + 687665011, + 609432555, + 127056040, + 909313271, + 310864816, + 560698465, + 929854496, + 90637042, + 171798607, + 474091866, + 190333634, + 132192401, + 307675697, + 198564991, + 467104529, + 749218248, + 741646970, + 338239943, + 318088786, + 134256018, + 623326505, + 162204385, + 445071719, + 84376471, + 268984039, + 824635759, + 805378017, + 239093820, + 929355962, + 12335178, + 753620269, + 603878675, + 51159571, + 400555138, + 927041300, + 835504522, + 726171350, + 400983102, + 358150636, + 344665908, + 481756721, + 251242336, + 295043691, + 415962542, + 913758599, + 111517785, + 423761433, + 503053658, + 194884323, + 588078540, + 718140888, + 523613132, + 450351051, + 503526620, + 830037658, + 633231798, + 473969186, + 996141499, + 823443876, + 515858164, + 555740081, + 776437847, + 865403087, + 82734522, + 926236247, + 99468669, + 405108225, + 594580402, + 761994997, + 240304348, + 201507122, + 113462820, + 364781613, + 869402824, + 350507036, + 623640033, + 216653571, + 689337138, + 725853496, + 969462378, + 880140140, + 607518758, + 755946679, + 813607781, + 255698977, + 966036932, + 878926096, + 634115631, + 244456837, + 894683587, + 817240970, + 58220318, + 590517693, + 585765159, + 180430852, + 481887488, + 36188242, + 17773085, + 810327385, + 822915204, + 560296126, + 202928704, + 749254079, + 526905804, + 646756794, + 866888268, + 580018090, + 489031494, + 559663258, + 272580501, + 374898828, + 158268266, + 822549379, + 948421906, + 81866449, + 959990529, + 405420587, + 19196530, + 58709529, + 119084269, + 411145061, + 712341084, + 255804011, + 177348066, + 331079796, + 890849643, + 43516975, + 732280588, + 958155787, + 768865587, + 895149677, + 923408197, + 711202999, + 619168110, + 155600920, + 537719386, + 401231278, + 73183990, + 134329509, + 183280529, + 602112261, + 902666659, + 605190591, + 86090875, + 477295210, + 234408494, + 135196569, + 423482189, + 129847032, + 671983693, + 531267536, + 374671287, + 582156388, + 978417623, + 158967063, + 824847733, + 459921769, + 990416567, + 883473999, + 600771904, + 321708529, + 97704799, + 674009918, + 256895128, + 745572001, + 785990678, + 694379085, + 785393692, + 139499981, + 316773317, + 740087705, + 362998006, + 793949399, + 529138921, + 779903627, + 179654716, + 617366173, + 583651712, + 803138787, + 414570553, + 270609377, + 259193200, + 149093106, + 932521885, + 443906154, + 869471485, + 728773909, + 987078272, + 66387044, + 994341389, + 31811108, + 605436569, + 181588170, + 851740847, + 428750091, + 635341282, + 615303444, + 341613923, + 987286694, + 63810661, + 601736867, + 367423763, + 358750294, + 21385945, + 536549389, + 224073134, + 908074312, + 311971782, + 41858382, + 929576924, + 289753986, + 920029407, + 645000994, + 220997854, + 951531687, + 467513694, + 798040859, + 145395042, + 840760159, + 710479528, + 174421049, + 788076005, + 265542245, + 82774055, + 766809571, + 478516002, + 947413061, + 511230509, + 121591704, + 12416809, + 491944114, + 832717451, + 630629565, + 881620877, + 50408117, + 757642856, + 93616113, + 578449110, + 864041138, + 218140648, + 739573473, + 247690670, + 692977352, + 114903635, + 212749017, + 367107123, + 883831586, + 336508136, + 536592435, + 721478117, + 544508468, + 626728182, + 227415688, + 545452112, + 92260591, + 209274476, + 364600612, + 218264139, + 331598817, + 121975173, + 596595040, + 144819563, + 384696635, + 111906949, + 199066296, + 852544130, + 287666918, + 466408994, + 215037610, + 776148646, + 143302235, + 614490586, + 545193971, + 218330004, + 891563472, + 98679046, + 147710475, + 622255911, + 778571501, + 441003607, + 586419318, + 479857603, + 402575157, + 382983304, + 186263041, + 428129570, + 936566321, + 375652041, + 888048904, + 676814082, + 395646379, + 678684668, + 95081400, + 337695960, + 198388430, + 746629561, + 490103305, + 136224723, + 954782470, + 905609914, + 192764728, + 620837778, + 341043461, + 449567709, + 16148897, + 48960736, + 13137924, + 15160714, + 973551303, + 530093381, + 670145556, + 980662824, + 842445131, + 587948548, + 644743872, + 17712348, + 623960213, + 941611645, + 437897142, + 740568060, + 206999374, + 280438024, + 632798957, + 822889511, + 24591569, + 865144193, + 69254796, + 238651238, + 865514563, + 192944549, + 344505079, + 974756231, + 791556700, + 154327527, + 941380658, + 927831565, + 336508836, + 362901036, + 252011646, + 1802074, + 737579607, + 209112523, + 260213570, + 686582618, + 642956391, + 275306945, + 601678177, + 958575484, + 634003392, + 676395873, + 767602218, + 207325742, + 205166807, + 359581837, + 414668788, + 311790101, + 73377179, + 320995330, + 726351541, + 841097334, + 308136066, + 929338548, + 459183296, + 552363253, + 155033258, + 687391407, + 40369502, + 399707430, + 441850841, + 928123680, + 296462381, + 323214466, + 945967722, + 469077259, + 792909966, + 156590061, + 756510015, + 933403491, + 893219035, + 928875948, + 526315862, + 756896513, + 751166815, + 408446317, + 838531174, + 593831202, + 304298775, + 405070986, + 811446196, + 466032385, + 87128607, + 869784367, + 299500460, + 397039652, + 664783085, + 483631800, + 451850920, + 148108505, + 976320197, + 308000602, + 186726641, + 214510746, + 96698232, + 222484140, + 638792388, + 727309438, + 768100598, + 405772613, + 672335026, + 3125548, + 98583732, + 280294416, + 489498907, + 775363202, + 951900602, + 978863160, + 440305503, + 349402480, + 323847643, + 993961069, + 918551710, + 328072514, + 231206965, + 789247867, + 131367812, + 125618915, + 563084042, + 399203963, + 119243107, + 714903829, + 860774111, + 766900018, + 905725290, + 394311739, + 228650509, + 642996197, + 36153257, + 356140251, + 224629587, + 844745104, + 253968060, + 565111557, + 343040941, + 466115334, + 973312213, + 915150604, + 355238148, + 658840592, + 785423118, + 763722188, + 294086193, + 173809863, + 348517867, + 877667141, + 617188337, + 491224323, + 528789539, + 255288740, + 258499173, + 898343497, + 453918864, + 903826549, + 80434292, + 150757602, + 833945549, + 891464350, + 565992242, + 334700943, + 802336872, + 450473690, + 280270859, + 892946581, + 138153471, + 327100304, + 276572296, + 67549691, + 315737078, + 577199727, + 191010696, + 703245924, + 618788711, + 316382655, + 607061435, + 834859554, + 246070374, + 248666652, + 97086396, + 108551426, + 297094355, + 253631200, + 558433434, + 868304448, + 384265042, + 955085543, + 829446894, + 684460743, + 43936312, + 63833416, + 885065419, + 34494294, + 972177440, + 758022393, + 528532090, + 387387983, + 13062534, + 303265324, + 182270410, + 755188342, + 636100451, + 118980129, + 538704446, + 644397469, + 154122018, + 840724502, + 667511591, + 132284721, + 872377154, + 282160554, + 330958291, + 801103067, + 248827678, + 76319661, + 360294209, + 387233283, + 656832441, + 62019489, + 157320427, + 758412986, + 746719372, + 698161212, + 787018660, + 246835661, + 879814196, + 957764678, + 56055627, + 166318443, + 767075391, + 163396082, + 440001027, + 793918403, + 927579793, + 616208632, + 525499036, + 985362048, + 170581666, + 673114281, + 422560901, + 921245163, + 888505653, + 244862466, + 755687979, + 308131593, + 322954592, + 467364254, + 39570734, + 791368480, + 771068163, + 982980768, + 695192613, + 526092979, + 275401837, + 830590155, + 379416756, + 705426232, + 125828588, + 713321239, + 603390198, + 15373925, + 131499536, + 590990244, + 585320324, + 965297198, + 277110107, + 89571726, + 983954663, + 447140540, + 138215602, + 41359650, + 340236648, + 463967801, + 576198859, + 436040623, + 545039097, + 670427915, + 498140518, + 262231666, + 785004014, + 616942953, + 782191947, + 716466633, + 50315160, + 274931836, + 715714153, + 137181297, + 974215292, + 625900950, + 318857650, + 557069969, + 403350402, + 778843347, + 78915141, + 352003917, + 152225373, + 711724823, + 133786300, + 429811808, + 5438497, + 413350144, + 324805175, + 582928216, + 502067412, + 302536569, + 79915926, + 262206749, + 830636980, + 340167017, + 648355063, + 459945291, + 69864440, + 847941719, + 841450818, + 211302260, + 780475703, + 551431815, + 190898234, + 628878910, + 979545553, + 996435985, + 273410093, + 138758589, + 522669360, + 974307676, + 801135424, + 446094044, + 273298907, + 764601587, + 595204710, + 866936437, + 908376941, + 853199017, + 601488548, + 891377764, + 57827911, + 753350571, + 61600406, + 476006156, + 436672052, + 245304427, + 171539891, + 32740722, + 609297442, + 421062638, + 779577674, + 790914027, + 843741481, + 615519891, + 323576434, + 893093779, + 153724207, + 475861604, + 6976568, + 769960428, + 669697249, + 721652390, + 358065158, + 644258115, + 534961471, + 107840586, + 764810077, + 181890870, + 509493009, + 81132472, + 175634367, + 461570493, + 284398396, + 379500647, + 31782829, + 261217061, + 39552613, + 975723746, + 981134081, + 926465682, + 233412795, + 544255630, + 839767794, + 64611268, + 631704423, + 680504505, + 78609955, + 753654362, + 245745949, + 321809324, + 91326980, + 480139299, + 50870750, + 452780641, + 984163580, + 4236369, + 667656910, + 250444181, + 712760650, + 443775310, + 590502920, + 784436719, + 785506507, + 744319456, + 402604512, + 467141403, + 341414353, + 601815337, + 472568202, + 13704160, + 929527657, + 599092153, + 863038896, + 749376125, + 579346166, + 229013417, + 977245189, + 104048011, + 726079062, + 931757071, + 799461439, + 93987121, + 651680291, + 78792256, + 979254270, + 427703181, + 397690189, + 527556296, + 729361637, + 19301146, + 542611347, + 859009938, + 332461453, + 848947886, + 762489565, + 852310890, + 523779121, + 310655147, + 377435140, + 468309975, + 244718386, + 440811636, + 940037896, + 72243965, + 257215034, + 651548705, + 794286323, + 433276852, + 958232382, + 171790538, + 53418648, + 5226118, + 404018104, + 873291369, + 321807151, + 354792113, + 830690912, + 945527872, + 216470404, + 653811890, + 981144316, + 607414712, + 769539250, + 107671818, + 102570011, + 15684039, + 723952448, + 731979623, + 956953138, + 739380293, + 270919429, + 750088466, + 849781831, + 171522685, + 536354176, + 998052961, + 49757192, + 705930442, + 538187851, + 180343305, + 93957807, + 51247223, + 829840308, + 687895586, + 932170852, + 661679460, + 627791416, + 946826259, + 822589554, + 598170312, + 997796557, + 676041757, + 935813390, + 685161801, + 72425486, + 953974810, + 68525757, + 805082254, + 671588514, + 932607493, + 195369808, + 758163333, + 144572205, + 834002385, + 634082125, + 666887480, + 767454091, + 562150940, + 421096460, + 328638399, + 858926615, + 525790239, + 18726584, + 71769579, + 899265887, + 411248251, + 14775613, + 867023116, + 894563930, + 371093961, + 874678144, + 505523406, + 259706359, + 324979771, + 96440357, + 875200784, + 447029881, + 664176421, + 648670116, + 699728729, + 770533919, + 826712206, + 590162638, + 499972005, + 544415193, + 763403045, + 354065558, + 103404943, + 38978182, + 7406911, + 214214861, + 749820134, + 180696438, + 999592382, + 307101157, + 227210948, + 712461226, + 42968507, + 385099071, + 920384324, + 912156961, + 578168437, + 94503362, + 745370693, + 65370187, + 603830078, + 77457120, + 25896102, + 929685720, + 949156158, + 179804062, + 307568501, + 59127807, + 677398118, + 862806293, + 476821206, + 81176497, + 929610983, + 39732898, + 578236375, + 639982924, + 640438440, + 831806694, + 228031358, + 525957489, + 768896195, + 544179047, + 866408305, + 24590029, + 376315026, + 932223558, + 101309346, + 490341441, + 608094837, + 605479312, + 600859610, + 920336984, + 727802194, + 175767973, + 249461792, + 764795797, + 614232673, + 590809348, + 190710589, + 873215413, + 701324209, + 917237583, + 1731674, + 394484315, + 428901387, + 234256603, + 754488229, + 103196521, + 248706088, + 68765620, + 527384784, + 342104021, + 394604600, + 490251877, + 469174900, + 236666888, + 645885702, + 365041806, + 306551573, + 954086918, + 742465961, + 995407332, + 714449098, + 509575481, + 474634533, + 246230853, + 667404858, + 289452952, + 623024559, + 736680837, + 7442503, + 707957993, + 739040070, + 152413642, + 556011186, + 229488458, + 939621870, + 7237687, + 596633048, + 408582621, + 93036351, + 80692053, + 383751390, + 316267179, + 255243279, + 614669856, + 148848957, + 295959764, + 470285261, + 232377397, + 992310871, + 257337028, + 988345371, + 925194406, + 43555239, + 65467475, + 33796906, + 977861317, + 726995273, + 474282957, + 695235422, + 603818422, + 574636901, + 558445752, + 936682400, + 365476516, + 955594632, + 129417742, + 287640817, + 755116368, + 211028797, + 284622888, + 460148494, + 278417708, + 747896528, + 959979600, + 52347904, + 468664021, + 668098190, + 178468240, + 212440378, + 457536872, + 83317756, + 367541293, + 45815078, + 821700934, + 226374771, + 405427776, + 203468470, + 525432368, + 697041097, + 878138151, + 800263551, + 422160301, + 673741626, + 796808293, + 936402809, + 516169132, + 578193752, + 48967098, + 305133504, + 519921419, + 303358112, + 302277149, + 860037263, + 331739118, + 251834639, + 681478197, + 69524498, + 638683975, + 979972053, + 83179028, + 992175419, + 132347387, + 653548081, + 252770919, + 566825843, + 537120507, + 563440436, + 915705427, + 150125138, + 487477572, + 695675221, + 257871215, + 936637989, + 213038009, + 420818744, + 102340823, + 490224339, + 104540989, + 429620596, + 488217832, + 618241335, + 263368657, + 208178493, + 12656915, + 226301817, + 579690099, + 437525627, + 730471811, + 807381802, + 502291137, + 57087345, + 770850407, + 720563914, + 551926373, + 721227768, + 411716355, + 653223238, + 619272163, + 703732323, + 913201082, + 203097163, + 953305689, + 446216475, + 834971408, + 140150400, + 784580486, + 287153946, + 166384116, + 184461532, + 997697827, + 715435092, + 909805532, + 116036325, + 301482013, + 904281551, + 253632579, + 260778270, + 732953283, + 911561950, + 927555493, + 764405091, + 864188781, + 858491089, + 338247600, + 439969305, + 108181624, + 616215446, + 952627178, + 485712980, + 530233813, + 773032350, + 796087558, + 693829210, + 892534993, + 195611180, + 549985227, + 120545299, + 986627163, + 648915710, + 430118229, + 401773568, + 518695409, + 522303580, + 521200064, + 459573665, + 46205646, + 244694493, + 706791537, + 546897494, + 766199773, + 837214879, + 183208372, + 841896853, + 19164614, + 501483054, + 47034683, + 21126811, + 11466994, + 375253198, + 520340304, + 30816161, + 871991497, + 668325563, + 904812791, + 146969289, + 724403480, + 147549355, + 878258453, + 494536387, + 143054553, + 270512101, + 88060187, + 661606791, + 537175661, + 537649568, + 577045877, + 926110588, + 415697537, + 613043118, + 987409038, + 291454344, + 527578521, + 176708589, + 245275724, + 345758515, + 547432103, + 101757866, + 94632346, + 957630514, + 906451498, + 642062563, + 182260848, + 57525291, + 780274072, + 575651658, + 76640948, + 199400711, + 897729922, + 697697653, + 199556364, + 429479274, + 328497702, + 873839638, + 142527996, + 203705833, + 417561122, + 484111084, + 203216550, + 897917032, + 302398380, + 400501993, + 266678110, + 894837846, + 612299932, + 809230351, + 433577237, + 442926805, + 889969425, + 815903584, + 415341747, + 807110349, + 164217573, + 844063373, + 711626795, + 377370379, + 156244635, + 894197295, + 579596616, + 286625420, + 510754596, + 774517766, + 83798465, + 776896517, + 947867479, + 540909478, + 710908554, + 551139106, + 975495304, + 813874578, + 585430929, + 818186404, + 159539853, + 478908433, + 892422638, + 387067082, + 793858278, + 590144539, + 266614725, + 843893829, + 849840219, + 443475922, + 813577456, + 254783140, + 397313325, + 575872401, + 470275326, + 204661822, + 73415800, + 273405868, + 898678826, + 300830628, + 239149688, + 706391567, + 596545640, + 810034994, + 787084644, + 843859430, + 513265632, + 373440212, + 112064910, + 697220977, + 399304434, + 973369703, + 526028940, + 242617561, + 991795768, + 995590828, + 427415979, + 798668023, + 510514058, + 148812132, + 903439542, + 899872756, + 903545712, + 43926251, + 711026041, + 954892974, + 683081780, + 468071581, + 357607931, + 563861743, + 504844890, + 319480376, + 737069045, + 308225544, + 838281808, + 743281821, + 852372975, + 610773857, + 213637643, + 863223267, + 9421902, + 759375075, + 497446434, + 847147110, + 336300724, + 461918508, + 516373509, + 453829632, + 507297300, + 95817747, + 463389723, + 226361518, + 944418704, + 473105483, + 1527779, + 529938978, + 236585930, + 541762011, + 551867197, + 960165783, + 27081612, + 121164421, + 344605869, + 223417372, + 859607334, + 202698258, + 389222938, + 817968970, + 89250665, + 860972900, + 967039504, + 541183532, + 458256227, + 256052562, + 274704336, + 626036135, + 889993317, + 977550305, + 286490719, + 950296491, + 454054345, + 666980239, + 618286493, + 879706816, + 17716767, + 94531918, + 313995279, + 231159396, + 267325271, + 872465324, + 266501164, + 951627183, + 971070863, + 837657732, + 5374977, + 883714029, + 580020514, + 141173494, + 108991354, + 861658220, + 914643906, + 505193627, + 989350304, + 495682089, + 806054513, + 949735837, + 120431880, + 352965807, + 897069118, + 289083241, + 968510870, + 728267628, + 167609296, + 441844469, + 96248380, + 833750665, + 840465737, + 557464208, + 496976525, + 888557258, + 557079170, + 401610993, + 889317974, + 136220416, + 142567249, + 70584221, + 770068981, + 472260082, + 249852565, + 368226378, + 98484400, + 15798912, + 146162118, + 31975181, + 799183742, + 191355821, + 507046224, + 794572734, + 415062640, + 831080016, + 517321774, + 446918846, + 840566947, + 125702654, + 590179266, + 809761059, + 298487296, + 31622693, + 348549270, + 773320262, + 869766847, + 157175907, + 915369349, + 272073512, + 19034270, + 655464547, + 179223368, + 977053451, + 646395281, + 809725086, + 73706101, + 772144321, + 275638864, + 115094120, + 625844468, + 108142176, + 893514685, + 799726753, + 845793799, + 493926696, + 855979954, + 861480416, + 41441872, + 432743455, + 598794099, + 97478927, + 399788796, + 958201080, + 509400797, + 618698509, + 790524978, + 882242602, + 174831825, + 655391951, + 812590664, + 611676506, + 186242081, + 909394611, + 900000867, + 664604597, + 414145815, + 16208849, + 638803672, + 801436941, + 467400904, + 300147197, + 586386640, + 79902003, + 980043479, + 706693141, + 119503701, + 363057655, + 727633406, + 276448348, + 953918554, + 487723756, + 294977747, + 945302675, + 509623863, + 297228199, + 776603487, + 759415145, + 637534440, + 373015984, + 959469054, + 334153534, + 993112395, + 372226063, + 264698150, + 220360696, + 434942417, + 324320465, + 378520103, + 500931840, + 892977552, + 574509978, + 506485282, + 734039431, + 638935762, + 322164552, + 608016614, + 392124708, + 231644165, + 746964540, + 74583030, + 459745720, + 450579642, + 758967766, + 38281233, + 219532041, + 322709463, + 898136470, + 578656799, + 283869314, + 601566489, + 745863301, + 88139288, + 395854420, + 61088540, + 787626705, + 235893245, + 171771551, + 878019312, + 617197601, + 495626450, + 350764946, + 924707455, + 54949103, + 332359554, + 243213712, + 479902117, + 683012595, + 149302909, + 117260532, + 66804229, + 623510732, + 134619558, + 15297747, + 57585451, + 578946902, + 275355572, + 749723880, + 184754230, + 39937725, + 964452393, + 765940992, + 281303363, + 382733425, + 713117284, + 333292058, + 9986507, + 548334795, + 499935347, + 706437490, + 941436442, + 185545079, + 398808089, + 954212374, + 935308349, + 668933747, + 357978719, + 115218609, + 331249665, + 262813627, + 882235884, + 300798048, + 436082707, + 465053988, + 810567423, + 533932226, + 148357548, + 980613483, + 628555460, + 750662000, + 46517353, + 105929001, + 245055160, + 629080519, + 216815656, + 119411069, + 773966705, + 302905776, + 861329884, + 152507319, + 286531793, + 969541736, + 186459772, + 371556685, + 216445422, + 639405852, + 620271226, + 337057501, + 558545888, + 389255095, + 907178897, + 552689190, + 231180651, + 929859379, + 178092341, + 908647647, + 520783892, + 723496518, + 129584616, + 303905254, + 181453841, + 137434685, + 605589113, + 754609274, + 145491282, + 661832805, + 471044486, + 607362589, + 972763723, + 610486665, + 956320498, + 342370159, + 965320573, + 85583333, + 52584375, + 603543279, + 640044567, + 869501421, + 236135960, + 992640951, + 228473795, + 798857839, + 515731563, + 610118402, + 93976213, + 482335623, + 933867184, + 891395091, + 678588782, + 144298317, + 480244966, + 978082757, + 89026779, + 152629134, + 214973733, + 18246584, + 90880035, + 163903251, + 705622160, + 613122215, + 382792552, + 405463394, + 62001998, + 183372477, + 884705076, + 944692426, + 841304619, + 853975907, + 143949907, + 387032322, + 750614322, + 229800533, + 186833229, + 674937824, + 572624868, + 338691328, + 468158772, + 57709314, + 653555002, + 477777335, + 899463806, + 647068391, + 719143299, + 999571506, + 118352181, + 702689888, + 705744067, + 347303310, + 13831087, + 623347257, + 913085005, + 982166867, + 519761203, + 791527702, + 589002666, + 860380423, + 513184780, + 91873923, + 947471826, + 221916558, + 205560938, + 365275377, + 212701267, + 616285264, + 769492665, + 335809363, + 865581593, + 628975548, + 303655284, + 406081981, + 559724811, + 837011703, + 591830558, + 76829321, + 960928299, + 639602228, + 952194190, + 826625327, + 744426466, + 670501789, + 415533635, + 587684370, + 282261414, + 4300707, + 622301382, + 55038870, + 35990469, + 54921783, + 558281322, + 365364612, + 147843427, + 341510324, + 893934385, + 521108668, + 23059992, + 316331565, + 689481910, + 609366468, + 450156720, + 531858890, + 383379745, + 906159452, + 101507460, + 113019745, + 210466778, + 405650227, + 38122283, + 116990067, + 270178820, + 224368253, + 385361073, + 225183903, + 133206972, + 963870667, + 419150888, + 24158292, + 379431466, + 242163178, + 365924029, + 231491787, + 626778605, + 955941574, + 521747901, + 414564013, + 430971213, + 534382035, + 12661998, + 672485075, + 700541287, + 53505652, + 161289397, + 763291328, + 99921887, + 323823106, + 656615764, + 844924584, + 797064377, + 542785177, + 675521733, + 49629005, + 553511212, + 435787776, + 399463766, + 747127122, + 121166355, + 300244423, + 199995943, + 20728135, + 842659864, + 247291715, + 785349965, + 542191801, + 752249527, + 547677993, + 717842517, + 870515210, + 399022711, + 415433793, + 179880231, + 898051335, + 50914259, + 920103010, + 915339240, + 718353063, + 191510128, + 50626020, + 208493820, + 931119991, + 277083900, + 787672570, + 203265068, + 549600461, + 411131906, + 87869401, + 245183582, + 224464359, + 483768091, + 905693722, + 846874659, + 639459170, + 601649048, + 550105884, + 982475937, + 437693911, + 696621056, + 841943728, + 918891036, + 87696158, + 575997747, + 318893366, + 267072292, + 15799069, + 747869880, + 863878947, + 776862807, + 850623909, + 463236545, + 497932982, + 146803223, + 489814231, + 943467622, + 115775767, + 315588510, + 934038526, + 374392113, + 771917541, + 631932532, + 154008664, + 905019369, + 347608640, + 620737388, + 272009292, + 710544374, + 597325103, + 777519043, + 257174144, + 621611843, + 376804255, + 285022176, + 255767850, + 739200421, + 615337076, + 762436815, + 358487743, + 559826208, + 967424982, + 277167634, + 132392810, + 458777184, + 490286676, + 557858486, + 474843625, + 326842365, + 912976529, + 1772911, + 513084242, + 850944001, + 572898304, + 718248659, + 515290696, + 107116413, + 152435449, + 252937676, + 730621367, + 849525019, + 913975423, + 319069088, + 945877399, + 49232863, + 638388085, + 534796961, + 289761734, + 392985425, + 147491049, + 500297018, + 428829208, + 557190085, + 753200120, + 278645015, + 149344789, + 198546306, + 228373074, + 266527267, + 366504096, + 891139688, + 776063938, + 592524046, + 15623342, + 915503829, + 460961070, + 368119931, + 418233441, + 234586214, + 953424289, + 467728520, + 549309610, + 60783529, + 329518423, + 452011368, + 731386652, + 18801987, + 955816316, + 177048398, + 891755010, + 738101430, + 886390572, + 932026239, + 311723479, + 592802192, + 26862749, + 732520170, + 460423782, + 910459760, + 572196093, + 260263664, + 668400746, + 746381845, + 429429508, + 343606063, + 303556673, + 156285634, + 166724299, + 320907010, + 35434550, + 636956689, + 206431964, + 528698824, + 677100792, + 797274590, + 762926653, + 196839497, + 659284630, + 135308669, + 760849921, + 389314515, + 420468477, + 187846650, + 743793220, + 632138865, + 548895918, + 77553709, + 761140630, + 396661975, + 210008634, + 471704282, + 630866309, + 427854917, + 560008390, + 112139405, + 224128300, + 870052165, + 203007247, + 178218504, + 593065188, + 311773465, + 843264111, + 863637453, + 576983867, + 672137099, + 375606766, + 513249163, + 576048274, + 297030427, + 223109128, + 124504477, + 355410316, + 581394080, + 310219432, + 707233072, + 924903041, + 816431525, + 285119506, + 283502295, + 954009333, + 504112778, + 576134972, + 801160723, + 137616696, + 396600015, + 307547683, + 973448058, + 331279303, + 368001390, + 280293146, + 253782850, + 583639868, + 992987950, + 156179994, + 50733967, + 395432975, + 283921690, + 90418343, + 60601303, + 875239499, + 564178350, + 677852843, + 565704633, + 505857408, + 418398461, + 967394873, + 545944896, + 76489697, + 544536296, + 922855937, + 579990147, + 139594330, + 660807744, + 349618723, + 104406354, + 912771398, + 260406988, + 914202177, + 850679865, + 310031188, + 153055098, + 294744130, + 47121286, + 179046424, + 801108209, + 160964729, + 666134698, + 744346568, + 554445732, + 625484056, + 471180832, + 510282473, + 797374080, + 974905583, + 191218348, + 272344806, + 410328844, + 124518793, + 912246473, + 693916134, + 599007824, + 287549821, + 84720114, + 778874609, + 868649460, + 417812467, + 85192026, + 730638490, + 333771548, + 428844292, + 205146835, + 318839122, + 262809544, + 149481760, + 324915185, + 598046934, + 45139050, + 531175725, + 592439203, + 643898432, + 996082917, + 650674191, + 317402339, + 269798513, + 633561405, + 456448079, + 491677825, + 749057285, + 29084824, + 352175499, + 831685171, + 61526259, + 288511375, + 55704263, + 225084032, + 118130013, + 392454528, + 654612005, + 199101710, + 432612736, + 277125387, + 885937576, + 85937817, + 905866763, + 125766569, + 734124951, + 640443647, + 631231152, + 528408077, + 756308651, + 608894852, + 542746417, + 399476487, + 587993006, + 314996247, + 277069841, + 161000197, + 730906723, + 37689357, + 692585705, + 487890944, + 744413486, + 557049054, + 383132495, + 52841388, + 615879504, + 253987563, + 917362696, + 144188443, + 179300638, + 716394815, + 574063746, + 933364097, + 560533115, + 707056590, + 505229475, + 985596027, + 497843829, + 490326213, + 655546820, + 347486070, + 926407851, + 80230587, + 992106855, + 280390747, + 888136061, + 27895490, + 467368985, + 240434463, + 246993006, + 791624750, + 858514565, + 833361762, + 657727886, + 595712069, + 281229208, + 450477234, + 95183191, + 647022609, + 725160869, + 399099420, + 116930593, + 200459363, + 880806946, + 900243092, + 491200449, + 473295037, + 540086306, + 765655459, + 295258173, + 344238937, + 78243922, + 656477947, + 372754042, + 418453062, + 370248261, + 467900501, + 696490739, + 263457432, + 874322166, + 598303607, + 287744504, + 674970062, + 708528246, + 372068490, + 101895817, + 690621023, + 349422252, + 231612541, + 497517743, + 605595783, + 532179645, + 981389639, + 592561266, + 815474675, + 539566828, + 102455061, + 591858828, + 126408893, + 336044076, + 866657144, + 157169176, + 930996847, + 100539211, + 499389296, + 109260986, + 891366579, + 930224964, + 98828757, + 96236247, + 398061676, + 414446402, + 938490885, + 56893574, + 700392215, + 110946570, + 981096212, + 719586090, + 699827021, + 19835259, + 720802002, + 174217437, + 776120075, + 739541791, + 869122103, + 156894679, + 777605994, + 711748602, + 327903595, + 921471339, + 189185986, + 406838333, + 563585847, + 717315085, + 840868281, + 401126440, + 623557179, + 765435289, + 130312295, + 43951268, + 677666913, + 895538548, + 177962823, + 201448091, + 230315326, + 365958700, + 972727586, + 326172513, + 868946635, + 44652887, + 379925712, + 327350523, + 700184464, + 300519822, + 644604260, + 740145919, + 661365513, + 333698349, + 514035114, + 859527213, + 271711531, + 683933935, + 629303498, + 144506972, + 470515193, + 162318345, + 361468988, + 773681403, + 951061808, + 618054892, + 170325268, + 541789267, + 879940958, + 835631004, + 228332363, + 285941, + 893489786, + 707683348, + 95338226, + 306290205, + 802405981, + 293220340, + 967511979, + 593726390, + 835193546, + 76873636, + 239104489, + 98862539, + 730794137, + 483217075, + 565334732, + 620839406, + 488761639, + 306143438, + 443844020, + 191707075, + 673806132, + 371244124, + 426322917, + 690821801, + 126313746, + 368560425, + 293999434, + 238721923, + 198407199, + 259064807, + 477745889, + 669810485, + 396775991, + 917671963, + 15555009, + 961291894, + 521275086, + 118553165, + 376450715, + 436208891, + 754192196, + 960953410, + 691003753, + 277420959, + 48223675, + 895557693, + 478440090, + 845184988, + 812492659, + 716399281, + 27282094, + 594466981, + 147543633, + 191024744, + 290864892, + 192183368, + 813367972, + 563033685, + 586187140, + 196464330, + 850801020, + 300870970, + 311947313, + 681362461, + 726142239, + 239308072, + 84012810, + 241603802, + 399718378, + 901032097, + 788930297, + 975620475, + 310650235, + 137819782, + 395221412, + 242337596, + 136332832, + 262323761, + 428955394, + 616825046, + 272608443, + 942188421, + 351541622, + 373663972, + 366026932, + 569044135, + 828867394, + 839860756, + 483606735, + 140373407, + 144133406, + 571177100, + 864133331, + 483809534, + 352462943, + 476034081, + 529590755, + 811034676, + 746270821, + 63369749, + 593688894, + 278165128, + 103746320, + 170691917, + 19098123, + 596619039, + 733097272, + 370704721, + 74535413, + 940664464, + 911538679, + 943462332, + 990306562, + 793048101, + 883432874, + 203865682, + 812420040, + 306138712, + 15553831, + 37449603, + 702612837, + 841902965, + 553941631, + 52531429, + 87602367, + 800571677, + 156944672, + 340656687, + 918148385, + 756066090, + 232089177, + 797358606, + 11236890, + 848237973, + 346750968, + 670799950, + 366501871, + 73330622, + 463396541, + 52145811, + 379061612, + 356916657, + 610924441, + 566352168, + 725712905, + 525071540, + 206556595, + 298352204, + 44052589, + 265974787, + 275331917, + 695797905, + 236938505, + 970002970, + 134849121, + 669972523, + 434179031, + 347090745, + 618225984, + 282486983, + 394331970, + 395437230, + 891404949, + 239975401, + 381980526, + 698192817, + 57060436, + 912971099, + 1104871, + 688263907, + 769198324, + 739575598, + 532631463, + 277667949, + 488947190, + 810198691, + 112549138, + 179305582, + 607773893, + 579013424, + 631392285, + 308428974, + 389438297, + 591531061, + 180081068, + 520212290, + 92817517, + 984792271, + 12197746, + 133241620, + 695914295, + 815965749, + 112737698, + 860534153, + 788005873, + 868408275, + 54048520, + 324533105, + 629384182, + 11898576, + 392656807, + 304838938, + 413892374, + 605813142, + 312625830, + 879283147, + 192493615, + 636534893, + 463717629, + 645643993, + 830319623, + 907497711, + 823984702, + 86873495, + 920329741, + 491053552, + 423509659, + 557383937, + 778140718, + 991559738, + 646331066, + 642645796, + 886317432, + 601782135, + 363069773, + 633534588, + 680004349, + 5506516, + 352975882, + 248267268, + 834087074, + 5575808, + 427613276, + 221977159, + 957545479, + 440878596, + 954122460, + 566713065, + 38054480, + 807511120, + 782891013, + 118534672, + 990036140, + 756153848, + 924333944, + 831527806, + 61823242, + 506972240, + 613113528, + 952310587, + 556625734, + 683356635, + 696578339, + 308493989, + 228232333, + 254453124, + 84225461, + 516290794, + 618679557, + 63691765, + 82224094, + 189056772, + 651814557, + 310067314, + 411763322, + 313912349, + 771320262, + 585579114, + 835544241, + 566485107, + 199009778, + 811706051, + 49495028, + 770981261, + 937563672, + 126680902, + 307838732, + 735950129, + 147051542, + 783045385, + 425661477, + 809741678, + 332129043, + 916678174, + 916297229, + 41482767, + 773422713, + 509037150, + 162414232, + 859539910, + 382275890, + 768158897, + 851882864, + 572779052, + 707660612, + 759552950, + 859138674, + 744382295, + 598537750, + 463579059, + 928534585, + 927950208, + 27660847, + 393383234, + 969474592, + 847359283, + 88414963, + 78209647, + 309163297, + 209855851, + 475442276, + 918685620, + 16036468, + 908610682, + 793486974, + 220496231, + 876286281, + 827700253, + 338635890, + 597355864, + 478125313, + 566259565, + 115026999, + 152905599, + 303008714, + 684090569, + 743078996, + 365804458, + 737716842, + 581805374, + 626757933, + 987982263, + 827845161, + 670029535, + 498692509, + 370595370, + 487234609, + 269344736, + 43501911, + 354128066, + 995753311, + 925192574, + 473304733, + 475029048, + 917514567, + 545020447, + 182588338, + 316642599, + 540035951, + 710961242, + 742498418, + 200711020, + 482141596, + 528466631, + 164571917, + 364449942, + 638092211, + 928867457, + 678394005, + 117255268, + 543985032, + 21121661, + 644159109, + 690671240, + 514290553, + 751875578, + 775725131, + 968972849, + 410235833, + 735133656, + 715008253, + 364031466, + 207104415, + 151283030, + 23444391, + 216083821, + 73608470, + 467491573, + 420886604, + 50701033, + 831624965, + 901547242, + 306395377, + 920532100, + 512930979, + 584219632, + 262671541, + 816160110, + 500472581, + 359917036, + 85225092, + 37667080, + 874009806, + 333750265, + 474803208, + 939582417, + 490443030, + 645950492, + 283156254, + 333587925, + 256037181, + 926248492, + 468107860, + 989910206, + 434995802, + 766214484, + 370383737, + 785508012, + 409728347, + 608335758, + 510392824, + 920361764, + 969876396, + 636914114, + 95252305, + 100191734, + 36173505, + 27805966, + 834499176, + 660561955, + 312717301, + 601214298, + 48976578, + 472893250, + 854365496, + 687013775, + 773108756, + 524092691, + 983822957, + 563185784, + 733135463, + 169468789, + 214071123, + 152554683, + 467244838, + 22667157, + 361612776, + 242948948, + 252024594, + 264733615, + 278320296, + 966951663, + 731039245, + 197132228, + 205967878, + 396124526, + 572104711, + 194711647, + 770982717, + 649778360, + 478972332, + 485678989, + 126031989, + 747808032, + 102685464, + 897423638, + 654318373, + 713286421, + 42805601, + 261475668, + 940193704, + 608088613, + 274559573, + 880583996, + 877527645, + 30940592, + 893336236, + 369814210, + 683937337, + 769666312, + 955283060, + 63840162, + 462408574, + 843128182, + 161046360, + 698061185, + 980141729, + 528676729, + 919743605, + 891850484, + 644700472, + 976350749, + 96713437, + 278410059, + 725487639, + 872786715, + 541185537, + 272754980, + 677276423, + 818277073, + 630709988, + 552477150, + 587882654, + 59769224, + 176952810, + 84975297, + 410928016, + 892029106, + 737940824, + 67810171, + 195073261, + 195157966, + 699229991, + 936830384, + 180098283, + 692177846, + 985614429, + 132708799, + 47802949, + 849189905, + 396463653, + 724340207, + 603195581, + 882855528, + 256420034, + 907230641, + 114614650, + 865378449, + 54887380, + 380315265, + 295423966, + 594675328, + 942021674, + 719211937, + 282157453, + 929531439, + 263721499, + 226350975, + 130912517, + 361019368, + 536655775, + 634210679, + 956542764, + 395242952, + 381757080, + 896676803, + 803874536, + 39789419, + 534445837, + 649318209, + 934512768, + 866084407, + 141057543, + 89557182, + 204571306, + 792224623, + 110354180, + 837562932, + 781192414, + 759660174, + 172855296, + 138540970, + 143289602, + 940477484, + 867244995, + 319323162, + 16774888, + 59612102, + 807984357, + 373157449, + 983604742, + 942405255, + 370545574, + 265235934, + 274414353, + 645346254, + 856009522, + 394825362, + 66481913, + 222543930, + 786061006, + 542800434, + 346806501, + 189450334, + 826953360, + 347159917, + 518762996, + 836791944, + 998740850, + 712499532, + 315831163, + 757727979, + 723627023, + 387537087, + 405816256, + 577825543, + 69360811, + 61929574, + 620518498, + 786880442, + 843535719, + 215843910, + 897220267, + 511761079, + 956738162, + 912015716, + 122989910, + 628348925, + 293239366, + 202666848, + 347050567, + 686699606, + 384236781, + 345352557, + 819954936, + 216552392, + 531106131, + 249911840, + 555205344, + 366954680, + 819926029, + 622726900, + 185122681, + 441409960, + 971546689, + 758698717, + 209327028, + 277196068, + 651920682, + 852911804, + 851535604, + 253828078, + 784488503, + 813762030, + 774332440, + 367309249, + 152868437, + 75282501, + 164225170, + 672823555, + 1230038, + 267859240, + 158682053, + 252715353, + 911371111, + 922560963, + 450537084, + 319324917, + 703164389, + 487141598, + 827642598, + 614296453, + 193382142, + 740785872, + 168669451, + 215317641, + 553899248, + 442078367, + 843495411, + 991934280, + 500692530, + 582647689, + 932908371, + 603150283, + 475490546, + 863569191, + 139042763, + 631362140, + 773855432, + 9150349, + 129297103, + 566197830, + 153907030, + 932373923, + 906364255, + 888814144, + 426871596, + 68518236, + 237186696, + 851825653, + 156323578, + 691105797, + 822812352, + 564102818, + 216579488, + 834504136, + 800457605, + 498649279, + 563118693, + 325257047, + 27007110, + 446704535, + 519911842, + 101115933, + 481204166, + 343590592, + 543798202, + 459546572, + 236313195, + 98056285, + 548627976, + 53277049, + 718833042, + 394320418, + 765983229, + 616782805, + 793202281, + 972154404, + 313073578, + 602423570, + 539068897, + 525574887, + 870524230, + 571749019, + 172333482, + 231328568, + 145138809, + 177214316, + 322689601, + 291869508, + 676869190, + 358501339, + 96898989, + 157525579, + 981044687, + 561850784, + 963306212, + 241399009, + 764667128, + 389517295, + 967327681, + 783301124, + 180762432, + 159116051, + 53140745, + 873628167, + 704300289, + 907604399, + 403961346, + 389835228, + 498822546, + 40954945, + 200880142, + 33479471, + 294838480, + 710211435, + 100342333, + 602333477, + 455056551, + 781881911, + 308254759, + 508430053, + 5811619, + 645688052, + 723960366, + 189715197, + 318809790, + 778488277, + 670258603, + 31951275, + 927419314, + 533290433, + 321403497, + 523285899, + 52449590, + 966096408, + 177759055, + 865018282, + 81622668, + 53304684, + 779766787, + 708840784, + 953969764, + 876506150, + 516318203, + 650674743, + 700953952, + 88103930, + 957683302, + 419298108, + 830577308, + 975580626, + 827142080, + 320387144, + 526836597, + 29675036, + 638043948, + 876121399, + 537475455, + 838568518, + 75527340, + 526262929, + 896382073, + 323725624, + 466350507, + 780919481, + 430973228, + 663369859, + 553516764, + 530961408, + 277393522, + 385454956, + 222951035, + 897813165, + 665881060, + 714712819, + 950662016, + 988133715, + 175817449, + 67193695, + 376682613, + 43277371, + 657764447, + 903101183, + 343298758, + 962624195, + 415635200, + 351011256, + 723966447, + 873769944, + 388429630, + 13211224, + 459591479, + 44341284, + 126689855, + 53775432, + 540743190, + 618571597, + 119466451, + 541598416, + 99115196, + 56357955, + 413990134, + 47114026, + 937861216, + 309558882, + 577017282, + 889544058, + 741327943, + 687227320, + 650325684, + 680958775, + 759428777, + 332205975, + 78157991, + 666818073, + 582620429, + 356943533, + 411443297, + 432838758, + 816701474, + 820291493, + 847076025, + 340500498, + 91072411, + 835370134, + 512167732, + 93246501, + 358154151, + 463171905, + 401954336, + 950885536, + 718594046, + 590903248, + 277825683, + 892830411, + 390166379, + 246405220, + 433094069, + 148845067, + 232825918, + 735310337, + 432196201, + 690821613, + 388400107, + 304900480, + 442482405, + 89895880, + 977623098, + 42632262, + 306259543, + 156945412, + 721975735, + 36244449, + 626415551, + 489809637, + 241735711, + 967709573, + 178526721, + 678570076, + 73046032, + 741033635, + 792940510, + 859190055, + 841603056, + 101452188, + 383715960, + 319715800, + 86082595, + 729369540, + 868398080, + 275258298, + 20806708, + 788471862, + 988070579, + 904501400, + 338957186, + 228987994, + 863180072, + 309462935, + 681344246, + 52548574, + 620255515, + 610051515, + 229579350, + 949618550, + 815092042, + 15544693, + 990598730, + 745206334, + 768638460, + 341951176, + 246999699, + 697590418, + 731754856, + 897410496, + 783602124, + 993543742, + 843978476, + 77242337, + 151664580, + 767954544, + 265176803, + 135080949, + 57778153, + 15989824, + 289866931, + 763187548, + 218544593, + 368851616, + 490372082, + 556536560, + 659385009, + 644648856, + 624934009, + 852920475, + 178585496, + 93269012, + 792279158, + 626340418, + 551593359, + 828850068, + 222906042, + 90202078, + 356581464, + 823941997, + 340442656, + 962443689, + 306595059, + 938400478, + 492371426, + 646455238, + 377297038, + 594095724, + 109499173, + 824210190, + 43538918, + 963847913, + 435756906, + 317075841, + 431717018, + 545368972, + 289110758, + 121606890, + 230597099, + 615996798, + 634782985, + 296357464, + 247311045, + 150859256, + 556781281, + 501871284, + 800756672, + 225363557, + 896298536, + 916710734, + 810603388, + 225785540, + 217332984, + 206577415, + 688636890, + 197320106, + 936177002, + 489409898, + 624688510, + 15647597, + 88954419, + 412171864, + 50788299, + 781072320, + 340716411, + 42999228, + 190020789, + 100972794, + 432571848, + 679114552, + 603703787, + 302924522, + 332843169, + 644145079, + 560866840, + 972035087, + 858543619, + 936276974, + 929923683, + 725480141, + 473141804, + 972352876, + 154679073, + 281581319, + 686767561, + 177096450, + 221606952, + 482362079, + 462058513, + 145474512, + 857278040, + 187410810, + 764104147, + 399195264, + 659198386, + 937506584, + 917357643, + 323730959, + 300884011, + 866312733, + 59161809, + 588259172, + 274069139, + 255213666, + 582434311, + 794716601, + 376594002, + 700150452, + 812245969, + 472467418, + 238748949, + 289571551, + 797979105, + 90676458, + 922872360, + 458354469, + 153918366, + 466901206, + 185573410, + 720109808, + 853347799, + 600897957, + 120599403, + 767167948, + 473012115, + 758560286, + 310257459, + 161937632, + 127245634, + 784637798, + 8668123, + 629596857, + 346645041, + 769340481, + 161101631, + 489576036, + 853522805, + 718338868, + 451929074, + 260756934, + 518247939, + 525530986, + 248032360, + 659303699, + 328496966, + 291402796, + 854196927, + 448073951, + 724520338, + 837970643, + 626030502, + 475092838, + 531889594, + 717769313, + 313796626, + 64032398, + 612360496, + 313452720, + 336533847, + 279346835, + 472096512, + 209723547, + 165099060, + 288796504, + 963924989, + 900188869, + 602907121, + 13936698, + 403960352, + 317593859, + 316591141, + 806742973, + 745423713, + 802654433, + 993442541, + 546609605, + 193435676, + 602596315, + 635340616, + 67957998, + 480932293, + 818607463, + 412768728, + 223145945, + 144487039, + 387282628, + 833313625, + 97252252, + 707135113, + 780621754, + 30927757, + 855372443, + 965059448, + 415807168, + 755798169, + 838249432, + 199066597, + 545386750, + 905468221, + 844429459, + 147588490, + 432917297, + 401383514, + 729378535, + 610922360, + 246774922, + 540541383, + 203352131, + 78353121, + 767430862, + 902524987, + 477063845, + 838043718, + 906869364, + 152354697, + 493099362, + 127743859, + 544889534, + 693951180, + 524113252, + 16175367, + 302078648, + 948431688, + 740840648, + 920866508, + 915245961, + 98793287, + 606943341, + 712694501, + 427104626, + 663725009, + 460043604, + 805269167, + 804683304, + 87338534, + 539643585, + 440225615, + 484916745, + 337761147, + 621600906, + 547105259, + 523074099, + 844047046, + 314783860, + 289374155, + 778508458, + 538209616, + 388854342, + 342280142, + 123186818, + 759325582, + 160844114, + 124321021, + 775467813, + 808122631, + 273677482, + 518086767, + 990466808, + 496801143, + 754694823, + 974740016, + 885653911, + 578336499, + 654342763, + 644257834, + 655163207, + 401621333, + 176021798, + 287926135, + 43204708, + 831423388, + 321357599, + 143685336, + 134204116, + 236698490, + 668535058, + 369570131, + 436149821, + 329419385, + 540431909, + 243946530, + 810433653, + 143248083, + 709237482, + 128323008, + 275571363, + 835131299, + 431633455, + 3137859, + 434789999, + 526274777, + 305083313, + 179386838, + 806655088, + 389673255, + 149659963, + 155835821, + 107441218, + 882276540, + 54952432, + 846956364, + 501596261, + 213629046, + 838734053, + 931539474, + 81321963, + 742889824, + 401903147, + 354305799, + 604073447, + 291506371, + 232742838, + 183490737, + 591568244, + 975373824, + 344935720, + 649512796, + 915607973, + 199640661, + 637585586, + 256401026, + 868336324, + 696870181, + 313834403, + 194576840, + 372391102, + 56547008, + 559313365, + 73217677, + 568692122, + 2737266, + 399757504, + 426127294, + 613535367, + 518268268, + 851191055, + 856352722, + 928902439, + 132977089, + 734024529, + 185110733, + 115191042, + 391229883, + 900796327, + 848922482, + 360840917, + 444861647, + 152573478, + 657920186, + 480909196, + 419994257, + 985967052, + 493396870, + 543167596, + 404058236, + 610003986, + 689301469, + 956190190, + 3642622, + 322806197, + 632511215, + 984662546, + 739950445, + 108944566, + 398244127, + 65370022, + 455851812, + 696124046, + 276407443, + 540438809, + 870275117, + 321188772, + 954332780, + 993193066, + 654465384, + 507366353, + 264459737, + 763856328, + 978147303, + 637992358, + 71127048, + 845497107, + 78207973, + 63046799, + 925882285, + 4678668, + 249983234, + 766543285, + 967521086, + 324393253, + 458584729, + 139191645, + 229830864, + 699518186, + 108051555, + 503749896, + 171193052, + 570336694, + 848971477, + 590789341, + 164655376, + 274264200, + 411327140, + 748563986, + 859007589, + 737746812, + 293856511, + 521586832, + 108237995, + 485790990, + 485020165, + 788008671, + 494001489, + 323595632, + 973256087, + 768385986, + 596104068, + 317427254, + 910436217, + 424723997, + 830212616, + 480918870, + 970926712, + 160933902, + 642444783, + 110918310, + 797368988, + 44893382, + 207597971, + 835605505, + 608645587, + 945869577, + 894817945, + 153569903, + 228862572, + 602188290, + 750639212, + 547110227, + 268501203, + 506082177, + 477409251, + 763523760, + 240418075, + 956728620, + 59558283, + 943872697, + 480843629, + 592139544, + 284917784, + 523911111, + 702010549, + 336778047, + 221783608, + 72742646, + 166667857, + 325639320, + 995350168, + 894633936, + 349629171, + 257170309, + 476727980, + 12387856, + 946814259, + 531660713, + 499214500, + 136626082, + 616992215, + 295496237, + 726388216, + 555249273, + 64982015, + 346466020, + 415262015, + 594299419, + 178516571, + 623585953, + 113982326, + 840622394, + 833536949, + 272136155, + 813797179, + 499936856, + 760042666, + 307721873, + 60810073, + 894985141, + 106370919, + 54447832, + 882944523, + 194613383, + 820374978, + 484794694, + 375195469, + 737743548, + 737001698, + 133788582, + 65202996, + 586717815, + 717281852, + 437187949, + 142421237, + 64276113, + 646156054, + 898318102, + 200292977, + 154615367, + 723728563, + 265624535, + 420202858, + 278049583, + 272752942, + 796041896, + 441014103, + 297732232, + 539720736, + 300425584, + 53309009, + 711490559, + 640327592, + 244413655, + 375655484, + 476701381, + 567254973, + 408757339, + 810428487, + 265126937, + 124486577, + 901884481, + 232814226, + 638133154, + 942757132, + 910805816, + 293361528, + 616013719, + 139945919, + 562186919, + 266744048, + 653630512, + 56851206, + 60951514, + 676913292, + 565865689, + 724660163, + 141868000, + 149146142, + 277840828, + 508009037, + 808531970, + 511304672, + 103609052, + 709515171, + 513528138, + 83045695, + 816914904, + 686111342, + 448476860, + 874642883, + 125084247, + 464592964, + 563092022, + 638999481, + 1604651, + 505929596, + 462580833, + 167097441, + 69912596, + 4997298, + 727560348, + 882106167, + 630735045, + 697050309, + 868899940, + 895984747, + 737782465, + 73821733, + 499757138, + 290822470, + 831392938, + 374740277, + 454200764, + 379740965, + 197165590, + 792792255, + 630486528, + 121254878, + 890423016, + 47664943, + 919643171, + 725812658, + 705042144, + 199915761, + 330011065, + 118291944, + 8464491, + 184061835, + 466566699, + 772108671, + 254161855, + 986055577, + 59417387, + 829626253, + 263991003, + 556163962, + 572103513, + 935121868, + 822714470, + 268921629, + 49947668, + 288497195, + 736012263, + 477669661, + 318533621, + 276740459, + 340309788, + 89582039, + 685085237, + 908705857, + 661282170, + 387404597, + 221894240, + 517162683, + 837768779, + 873538714, + 126555284, + 186046551, + 392409127, + 265289305, + 133280389, + 395806360, + 239296596, + 670579742, + 690567807, + 938409901, + 785568990, + 916114038, + 965536741, + 94218658, + 966299964, + 569994716, + 34062965, + 724460403, + 169953664, + 874333688, + 720515895, + 968194896, + 568886977, + 572680516, + 778675080, + 427658786, + 698323601, + 296533918, + 678327308, + 18183408, + 622714840, + 708675916, + 124724639, + 26013723, + 107835341, + 747583869, + 409143626, + 342494344, + 106143205, + 420382749, + 549748743, + 391107215, + 756388941, + 405364195, + 28835429, + 520347455, + 106225697, + 717580298, + 608969066, + 685648214, + 379733475, + 72809735, + 560468763, + 725779892, + 784558702, + 44678500, + 197107108, + 53372176, + 289385492, + 798377626, + 524649099, + 219438706, + 385443054, + 182601337, + 602299447, + 732655657, + 306359239, + 520585293, + 374743128, + 492169519, + 320460134, + 39853754, + 724861117, + 850435464, + 349803196, + 659613652, + 323741517, + 466301597, + 237336818, + 238439606, + 129736117, + 576854922, + 429519199, + 282410270, + 908529486, + 804482055, + 38545303, + 398854293, + 156775062, + 899356288, + 974540524, + 773860217, + 822920637, + 311416041, + 53670501, + 661247680, + 970181506, + 363470261, + 555970489, + 573115249, + 625958653, + 143439888, + 113401391, + 924234445, + 905450553, + 110149582, + 809524990, + 672343712, + 139933652, + 822394195, + 624160781, + 726770014, + 859362478, + 663147276, + 656523406, + 791360051, + 799897721, + 547201576, + 468161953, + 607085981, + 895046444, + 302270533, + 659943919, + 17209080, + 21556307, + 108615266, + 925960068, + 565325203, + 578323636, + 776226738, + 955186673, + 814749619, + 374372813, + 678872330, + 869185848, + 454756168, + 196569508, + 133625416, + 490911059, + 65783430, + 140148074, + 129159592, + 349375243, + 267752960, + 55340532, + 889073931, + 87034383, + 45651745, + 625289635, + 466955304, + 763985607, + 986665356, + 673485980, + 689424590, + 781149041, + 893601578, + 749049857, + 34906576, + 537310413, + 863136218, + 351623714, + 518388743, + 642915804, + 187604080, + 655306030, + 34401087, + 712128353, + 456199668, + 517255924, + 259178711, + 393213645, + 856824142, + 675189376, + 389336567, + 429243499, + 28538754, + 834526290, + 219988220, + 565621489, + 41093376, + 166833757, + 884704084, + 91668076, + 874839814, + 210621794, + 394398552, + 202510634, + 362685312, + 426866008, + 983253801, + 709882798, + 478768536, + 72429126, + 904484467, + 218297951, + 932147194, + 926371645, + 698649517, + 516491235, + 433641877, + 575610104, + 980407389, + 772104505, + 275291366, + 454114999, + 596343783, + 993337401, + 257481715, + 279568177, + 555193064, + 496446775, + 965795534, + 472159185, + 805411717, + 251218896, + 266289913, + 898153140, + 51098938, + 181774214, + 663612009, + 803357422, + 61386084, + 473527014, + 441499200, + 204268996, + 807133992, + 937491280, + 677280175, + 406642783, + 688249301, + 145041661, + 390205972, + 323217351, + 5683955, + 952910262, + 19173734, + 419701617, + 211611007, + 29157460, + 121445978, + 165232685, + 303846859, + 209737183, + 399600244, + 566869275, + 141780625, + 971621914, + 637419163, + 257021914, + 553655128, + 762148360, + 853509109, + 760239517, + 502525775, + 74553975, + 256858597, + 228098535, + 365679000, + 785057392, + 166256966, + 359233879, + 616195367, + 289326620, + 317711453, + 321996748, + 862175827, + 625383592, + 545569629, + 15265270, + 501101900, + 351606395, + 646164806, + 516831147, + 717488829, + 416391755, + 815129147, + 129336572, + 821815164, + 905857882, + 707609803, + 867827931, + 313383788, + 654420384, + 924716155, + 398344460, + 678281353, + 158968085, + 796802696, + 615361994, + 944047102, + 869485166, + 60206883, + 863060697, + 932757645, + 867565160, + 525604193, + 85111453, + 448938334, + 845492308, + 77029377, + 892082827, + 397902651, + 972251226, + 264402825, + 608288274, + 98398775, + 107999466, + 789249385, + 309571143, + 900860098, + 899141196, + 960237839, + 785652432, + 329298408, + 133678965, + 650559859, + 501847323, + 87417761, + 687794779, + 629578563, + 593081041, + 470041647, + 90149650, + 695279105, + 167220859, + 196772578, + 526868627, + 942180086, + 134184662, + 534771371, + 584609548, + 331671810, + 155531698, + 526757271, + 124528000, + 770101855, + 895034066, + 802836077, + 653594644, + 842656023, + 216933808, + 473399149, + 711137627, + 274345806, + 418116899, + 524128545, + 646151240, + 592560789, + 455104440, + 988051643, + 98874901, + 131914701, + 858819964, + 145799073, + 20390206, + 475800034, + 330006626, + 134777736, + 472523623, + 600914378, + 640324194, + 858512908, + 849822636, + 707098436, + 853173090, + 121172499, + 444046809, + 475972539, + 118177489, + 471994107, + 365784627, + 265775086, + 378303572, + 901537796, + 347699826, + 381250215, + 365866987, + 616876152, + 777310963, + 934674119, + 357834862, + 592381117, + 694068432, + 425026471, + 401498119, + 844587669, + 760516052, + 925100821, + 862693117, + 658160578, + 818470484, + 125285488, + 935180932, + 856763958, + 764429253, + 485569780, + 158735656, + 298914389, + 658033282, + 732580675, + 639580599, + 285619929, + 392673711, + 90322037, + 352500613, + 521927483, + 539738653, + 849632447, + 195912977, + 54173428, + 52434977, + 675905064, + 621519044, + 128459147, + 611280970, + 407582628, + 281563564, + 309103660, + 674923491, + 738661350, + 98763403, + 644486043, + 111177412, + 535748213, + 178456688, + 334729141, + 580832295, + 361696526, + 775897311, + 282826454, + 607639408, + 233962153, + 934543400, + 447928999, + 833543139, + 867339160, + 562509032, + 497006601, + 32559108, + 762732268, + 74440003, + 939857152, + 690786118, + 731993577, + 921985686, + 881964558, + 122048537, + 406030698, + 948014362, + 112268705, + 190526896, + 262200095, + 294800186, + 726157902, + 319249110, + 810780000, + 765409479, + 426239531, + 552359108, + 700599379, + 343819520, + 190208432, + 434567719, + 328256646, + 180594051, + 563977496, + 264969663, + 428831206, + 339390138, + 185258299, + 865190447, + 748465807, + 175758169, + 4208124, + 571232647, + 540071776, + 705349153, + 515490195, + 291425848, + 759811872, + 805520169, + 493435797, + 625494037, + 190043939, + 642781455, + 391454352, + 321498528, + 596404515, + 505591801, + 414719889, + 996857182, + 385373404, + 851526354, + 381383298, + 902650377, + 839468396, + 817831703, + 19225801, + 342189827, + 467571944, + 678393881, + 8089954, + 378499423, + 66931307, + 289408823, + 565824511, + 856922752, + 564502260, + 434733800, + 187974016, + 589759936, + 535576049, + 156053778, + 650825977, + 56133681, + 634341837, + 329290433, + 966696303, + 866176738, + 453048789, + 339707191, + 541734643, + 870812987, + 638765446, + 320944527, + 615917643, + 340078461, + 478570720, + 395200919, + 430015327, + 453772585, + 695343644, + 534056246, + 30139103, + 998419430, + 233963916, + 408256648, + 368361664, + 146943775, + 679491927, + 78629167, + 393494578, + 130752009, + 516661090, + 829902129, + 394428886, + 594114454, + 379200056, + 227996907, + 866619560, + 27906234, + 222949521, + 968061653, + 445357554, + 705094656, + 377553605, + 177948902, + 697148936, + 156206524, + 958107913, + 416341105, + 974689348, + 342798747, + 418462084, + 453948740, + 862345476, + 894818500, + 971480855, + 417621650, + 506634457, + 726944297, + 388877853, + 810162300, + 336214657, + 493018432, + 308344303, + 16061014, + 689059342, + 462125030, + 585951832, + 711686869, + 909325161, + 285580765, + 564180682, + 159381871, + 397019529, + 125033427, + 178588897, + 143270112, + 906366991, + 337934824, + 302704339, + 56503692, + 682998706, + 232504277, + 595875997, + 228253611, + 71060060, + 882333542, + 357020849, + 411673236, + 585237163, + 871575538, + 534862278, + 453716660, + 106127189, + 923955529, + 336429848, + 295307992, + 790730845, + 389505660, + 930702314, + 836584897, + 676593267, + 465328217, + 333436537, + 269357935, + 39406558, + 290770561, + 510526453, + 469736187, + 919767265, + 245808562, + 567398551, + 476840645, + 944035018, + 626284867, + 270196613, + 834665413, + 775684170, + 695061807, + 13229780, + 399799742, + 314608800, + 975002722, + 212359963, + 537516905, + 371332671, + 50733022, + 955211182, + 321919922, + 567289030, + 795931381, + 681171524, + 110660639, + 577085483, + 689323073, + 887177188, + 392919460, + 195347049, + 75730065, + 575308590, + 763450446, + 708991810, + 10719628, + 841486588, + 920223454, + 723076547, + 780696049, + 747206469, + 235399312, + 403455139, + 975567058, + 998634929, + 285668112, + 528508814, + 189506557, + 756663447, + 474524705, + 308567062, + 726522021, + 725020614, + 262258687, + 747496013, + 313209184, + 279765632, + 870981776, + 491522212, + 965961267, + 443138652, + 247215150, + 103039056, + 291753265, + 526969030, + 284771233, + 542025393, + 715861943, + 686531003, + 229106415, + 17306320, + 775333142, + 303173853, + 408347462, + 617151027, + 658889792, + 642987575, + 99759956, + 453639086, + 208935770, + 834317565, + 251328452, + 62088662, + 214311744, + 252693214, + 796753593, + 603158273, + 795910626, + 381866713, + 875049915, + 299855583, + 26796427, + 995261413, + 977948826, + 85347387, + 50693364, + 723314368, + 169705513, + 78518769, + 338004922, + 461357498, + 525434776, + 301919126, + 213309618, + 669393286, + 860443166, + 714973382, + 303089605, + 210978771, + 661869884, + 793447178, + 753865983, + 610363200, + 296599351, + 365509569, + 944793031, + 902485884, + 208889832, + 957564080, + 561273570, + 549266265, + 787643738, + 193130431, + 699632743, + 581522860, + 841095037, + 511305421, + 188239334, + 485458510, + 829780300, + 206038873, + 94972523, + 733620101, + 931989605, + 456947955, + 22141720, + 449206925, + 189778031, + 445131687, + 494639334, + 194733433, + 617890442, + 646842365, + 912301828, + 594173740, + 117873108, + 788251814, + 910025252, + 356230451, + 105127475, + 541846892, + 277955727, + 204421231, + 666653071, + 58086921, + 945701463, + 982302812, + 300391042, + 131182463, + 118322914, + 427747055, + 201233722, + 813626283, + 160125414, + 283682284, + 655219220, + 576413111, + 46915687, + 871708661, + 239185973, + 265808326, + 191419749, + 246805811, + 913219225, + 592862050, + 447413946, + 293599766, + 702752882, + 891428800, + 722934609, + 587872700, + 886958603, + 599203313, + 663383933, + 813062860, + 105743090, + 794669998, + 517796660, + 896201981, + 191392234, + 675817205, + 311710795, + 442360593, + 193719911, + 820254291, + 203226041, + 572094859, + 288894377, + 902784100, + 884322249, + 178325640, + 54440734, + 793723255, + 845076001, + 398349722, + 512832904, + 141390358, + 305682791, + 840087697, + 830512874, + 894191021, + 201764948, + 841049275, + 679505429, + 424893202, + 981061035, + 830628823, + 838888126, + 18331805, + 842405636, + 330998004, + 469729597, + 240777782, + 184195169, + 938499026, + 592202073, + 887556894, + 787408350, + 516696606, + 321641263, + 996341223, + 417034105, + 673173549, + 63561355, + 225321493, + 89143979, + 757598142, + 411181452, + 142904570, + 260155785, + 512411045, + 49799876, + 1476666, + 994866743, + 148629251, + 328341302, + 222308253, + 263875691, + 182464477, + 908466702, + 636232771, + 775862025, + 274823873, + 806845316, + 969383372, + 261457522, + 156449515, + 757475300, + 184319976, + 944841740, + 137305048, + 610271382, + 46681366, + 170802223, + 111678616, + 370272733, + 8368336, + 950163906, + 547420321, + 636624270, + 126758613, + 892760073, + 635170383, + 530963466, + 199814110, + 379281415, + 78765178, + 324001909, + 505043921, + 93425771, + 510834232, + 143800369, + 987117703, + 431046710, + 850913935, + 174378698, + 323625660, + 399319005, + 826410753, + 154545983, + 225052182, + 510148024, + 404186794, + 186700667, + 152542711, + 23699799, + 709910676, + 863669688, + 462735961, + 614203064, + 713291034, + 830499772, + 339149652, + 284875556, + 308491292, + 466545837, + 427536830, + 798395949, + 531302424, + 283654336, + 121242552, + 41643204, + 381164628, + 204449576, + 575821928, + 192301967, + 608711724, + 934836920, + 868121146, + 129875372, + 577522712, + 622646982, + 58813729, + 296635190, + 81035425, + 254151878, + 993587324, + 815270728, + 77271901, + 380157581, + 971522559, + 484845202, + 922284634, + 430399751, + 798038903, + 972003681, + 177194969, + 643146642, + 187059252, + 114589680, + 518614219, + 369259915, + 334631095, + 531965641, + 566659870, + 631608090, + 743006179, + 600544954, + 659718275, + 769859011, + 846880655, + 943264530, + 515796567, + 803104440, + 635810146, + 159060670, + 738678137, + 669396473, + 197650020, + 796899563, + 232759414, + 488057121, + 375357953, + 448580537, + 752253228, + 169513716, + 463296522, + 352140403, + 947011520, + 531872899, + 959037290, + 817345344, + 698599503, + 721632651, + 114081525, + 380636937, + 65150967, + 869082887, + 320845218, + 29229435, + 604028497, + 942531185, + 975120933, + 720989189, + 635825996, + 707061016, + 185200321, + 871777234, + 563548610, + 811952901, + 902205133, + 417496129, + 603487083, + 581055799, + 189584018, + 745850042, + 945541349, + 893340135, + 54182444, + 600742066, + 333559225, + 378958195, + 669867962, + 874924805, + 280227448, + 128028953, + 986536245, + 763394039, + 110198855, + 427734517, + 953107770, + 487948989, + 550540502, + 92862681, + 867689131, + 251559940, + 293048614, + 282026084, + 360689892, + 999286919, + 268081865, + 287227810, + 940148688, + 471316912, + 181131666, + 232666076, + 188074824, + 454813949, + 970740601, + 303568794, + 467462736, + 477031739, + 669338548, + 966128379, + 722811079, + 800735784, + 6538219, + 535275281, + 402462427, + 247591480, + 613588854, + 633484693, + 201695730, + 882920648, + 507940102, + 875495940, + 371507512, + 778395105, + 836305085, + 832167626, + 278220477, + 692752982, + 672886908, + 793103394, + 202020296, + 303006845, + 695459619, + 483170546, + 698673619, + 286559263, + 893595737, + 813777204, + 185673457, + 933172984, + 831655135, + 138735033, + 448040911, + 652666699, + 204613170, + 5492382, + 842922450, + 275303003, + 544173006, + 64418536, + 823712873, + 500448354, + 357209295, + 519593904, + 375555631, + 781686821, + 383629858, + 710261736, + 231158140, + 126593220, + 568764558, + 202364344, + 401961048, + 905025154, + 345591710, + 864611387, + 130667493, + 377945377, + 576073452, + 502479732, + 377757179, + 696281921, + 817982671, + 214163622, + 402107446, + 761178971, + 65994307, + 391295278, + 666931448, + 739356003, + 876544992, + 511660415, + 208828199, + 501141668, + 343099021, + 457946110, + 536436818, + 685991290, + 279625077, + 193024461, + 227668906, + 437952891, + 195563297, + 354340281, + 418472814, + 297949839, + 709322637, + 368239410, + 425072301, + 747063408, + 183438024, + 319528034, + 305071488, + 685874390, + 708287361, + 333521756, + 445411404, + 887886868, + 757471672, + 208439709, + 932148833, + 990471272, + 892360416, + 859201856, + 69096872, + 586640706, + 813823847, + 556803089, + 784218790, + 79487678, + 352852440, + 968842245, + 374117984, + 285778428, + 932715932, + 857821119, + 845106740, + 317941791, + 554804816, + 374108892, + 741475428, + 936875819, + 61308171, + 688188261, + 717026960, + 330656478, + 443454213, + 179896350, + 522970004, + 143124704, + 951157748, + 500210502, + 785977592, + 391969017, + 340419897, + 488926711, + 28724308, + 558085901, + 704932967, + 471959853, + 56028894, + 378345877, + 788281975, + 811415298, + 345291851, + 689877618, + 560897514, + 735353325, + 409139438, + 370495269, + 302898187, + 232204811, + 437774930, + 396148470, + 942244096, + 10647697, + 25565753, + 110478724, + 86894995, + 896214138, + 364667500, + 400200358, + 334172208, + 275169438, + 509281400, + 372962949, + 948180805, + 834206081, + 675390071, + 842728472, + 518615266, + 129823567, + 378163107, + 704119106, + 635934147, + 303923299, + 892038575, + 585825437, + 691281593, + 639961528, + 376179961, + 702997435, + 835113437, + 781887710, + 641584406, + 632698971, + 970676432, + 659265827, + 549084803, + 575666392, + 797225740, + 12932379, + 385842655, + 267274603, + 880883789, + 230338137, + 513227115, + 324570632, + 22218947, + 421791298, + 974677136, + 681905162, + 785149434, + 551442438, + 874460584, + 264337014, + 723144518, + 146299440, + 808965511, + 754268964, + 448555105, + 701737974, + 166410046, + 528856151, + 663401605, + 103935013, + 816478583, + 161000152, + 222553981, + 320993873, + 220806676, + 453660539, + 411447279, + 111705795, + 204233889, + 929810853, + 586796753, + 352550337, + 713594001, + 225298581, + 10139490, + 400498627, + 964247425, + 425953274, + 350077507, + 872039229, + 597153840, + 711354406, + 615753269, + 671822292, + 619482799, + 247695605, + 954579656, + 580806371, + 336050476, + 674162247, + 227988867, + 694189603, + 969692937, + 65699568, + 2252853, + 495787372, + 709000758, + 321929569, + 562248196, + 138031867, + 766357780, + 299107657, + 254513001, + 753560646, + 387810166, + 58647563, + 454403831, + 583454184, + 993957826, + 484351279, + 729012276, + 824480785, + 958859210, + 296058351, + 800997881, + 181514233, + 422449096, + 764720857, + 217575730, + 956153070, + 28881340, + 488547202, + 124643294, + 692153839, + 566659565, + 306145080, + 153887057, + 687307998, + 164594580, + 477999568, + 718325532, + 625710386, + 966928188, + 970847329, + 762307727, + 154611275, + 587221436, + 949724266, + 8034642, + 976435744, + 736207794, + 559103851, + 546569843, + 512957462, + 35125294, + 683331008, + 17054060, + 253160086, + 344412146, + 162972071, + 459310226, + 649008887, + 109671513, + 365167071, + 744452107, + 635996250, + 70698565, + 245870117, + 425237399, + 166235817, + 334753954, + 650399335, + 113402260, + 330999614, + 409994455, + 60161567, + 788407317, + 300551843, + 578253985, + 297147924, + 33916060, + 862186143, + 286160439, + 362603943, + 725249791, + 160841872, + 147207102, + 795761685, + 342826869, + 221102975, + 774477722, + 738484014, + 290102242, + 852279608, + 619709733, + 781661300, + 891450446, + 100538881, + 362554822, + 707244154, + 392108875, + 779511426, + 533960079, + 911735270, + 829472093, + 434745693, + 282441396, + 803863267, + 914367555, + 916918019, + 810891723, + 697523243, + 589774057, + 463010228, + 662701636, + 618880387, + 807690646, + 284327105, + 525676001, + 228130393, + 417768587, + 413963185, + 69745103, + 9059251, + 906708345, + 965048229, + 323571389, + 98520415, + 449088234, + 82754549, + 791308737, + 518523435, + 849599974, + 670938269, + 396818745, + 186942677, + 119848070, + 309464255, + 941796416, + 334888484, + 683442591, + 815876166, + 445722969, + 84114950, + 250346948, + 613319340, + 668298709, + 432076958, + 570116792, + 25832953, + 132508509, + 957726849, + 114179669, + 124834221, + 323348368, + 745663429, + 106048038, + 948781195, + 721580145, + 34475102, + 274065723, + 468036484, + 143572659, + 528469374, + 737262227, + 77265938, + 381585550, + 330425918, + 348099133, + 507673072, + 973273373, + 217828574, + 507938442, + 232078079, + 537604600, + 877839647, + 131963796, + 84042627, + 98155903, + 20311724, + 310740088, + 520008671, + 745446088, + 147611840, + 89691120, + 273029009, + 57190843, + 665067058, + 222778708, + 41475109, + 694574024, + 73031119, + 160364593, + 585912843, + 980504727, + 829703109, + 237193717, + 176006782, + 238457798, + 322125968, + 703119909, + 923650724, + 343607399, + 281995439, + 143551721, + 301404160, + 262202505, + 15384442, + 559127777, + 515148167, + 165714895, + 541567525, + 544839256, + 800815474, + 109559114, + 981516955, + 961329928, + 626823592, + 963282452, + 102571986, + 11314559, + 110111081, + 405311188, + 944276432, + 602571993, + 23910740, + 375404658, + 550708696, + 693093481, + 500011428, + 887210255, + 710224558, + 251281437, + 528965060, + 175082312, + 606132787, + 164565941, + 847761205, + 366002822, + 490735822, + 857324918, + 905990016, + 477652478, + 898554901, + 245539280, + 30848145, + 514302620, + 561164019, + 468295002, + 988303116, + 151073026, + 670437955, + 259571115, + 329028545, + 544060074, + 547391933, + 630992424, + 531946311, + 255161267, + 180644911, + 370909004, + 29341887, + 573803485, + 519010539, + 295540832, + 280646936, + 149821373, + 914046176, + 260356395, + 699390923, + 908612199, + 533480458, + 801416213, + 534920723, + 617760277, + 994137969, + 611916252, + 837743202, + 278608785, + 965301743, + 48904701, + 338077251, + 770049560, + 543068055, + 49669207, + 368302486, + 397721554, + 548434632, + 82338129, + 600214852, + 991835163, + 135182554, + 101192785, + 14014828, + 624483249, + 310765441, + 474337863, + 978883766, + 253639946, + 864335034, + 235069084, + 368636636, + 716798195, + 39156798, + 320793416, + 611251447, + 316032650, + 7130102, + 300856115, + 46279372, + 883034483, + 594781542, + 935440520, + 423686957, + 905339038, + 886657553, + 684633069, + 118880604, + 595284124, + 910040201, + 423307681, + 526685487, + 866888987, + 57074295, + 530580289, + 611026943, + 258495475, + 580423720, + 291288393, + 588628242, + 909317452, + 995215212, + 395902669, + 563569951, + 26761099, + 280659543, + 931522481, + 901962795, + 955005642, + 815723720, + 143641825, + 678577890, + 359251907, + 302704454, + 391561699, + 60681641, + 693082780, + 586287515, + 220726170, + 899304232, + 289553322, + 663983918, + 27685868, + 653419298, + 782582101, + 744272766, + 19635059, + 377698221, + 667046423, + 207530994, + 256406816, + 584845772, + 426721923, + 870423527, + 731269565, + 142385478, + 65779618, + 632432141, + 126628645, + 733430348, + 421080328, + 162777713, + 224423935, + 854118413, + 851006775, + 580775646, + 669734884, + 280980953, + 409783892, + 638422313, + 441786740, + 784039573, + 58069166, + 125676850, + 580457137, + 645114191, + 795467221, + 706852691, + 100786592, + 341259730, + 43268139, + 911492125, + 130792895, + 365593254, + 107622249, + 988603461, + 970872759, + 164452233, + 887862579, + 250239331, + 948923265, + 266427561, + 874894003, + 510444782, + 358493179, + 253436816, + 713755474, + 823490420, + 546650972, + 721319761, + 433923983, + 897577249, + 410786046, + 825512080, + 844459763, + 645374554, + 755087901, + 243172940, + 770288934, + 98165890, + 374072082, + 194541093, + 347940045, + 586952710, + 419038556, + 643003824, + 193800277, + 72466930, + 508552018, + 603220286, + 157535158, + 552293035, + 172169610, + 691861294, + 905921022, + 452886303, + 905810889, + 621421988, + 702643356, + 810703539, + 11133350, + 577342151, + 556176130, + 980341297, + 386172827, + 111246281, + 262392072, + 868403856, + 782482396, + 3467838, + 920572010, + 153361944, + 304645340, + 620641745, + 609398557, + 231006511, + 904045233, + 963838675, + 197657485, + 684115649, + 184811774, + 296241028, + 880501664, + 56017053, + 178859235, + 270370935, + 688613243, + 227135026, + 153644466, + 417885829, + 746950843, + 223498963, + 32114526, + 329267263, + 414031028, + 346332871, + 266862266, + 170220008, + 264519711, + 636873935, + 11515019, + 108727573, + 252802724, + 546550234, + 463674314, + 172665547, + 168190286, + 862225356, + 195668778, + 205187942, + 877030858, + 884769379, + 209553628, + 99565018, + 90648192, + 914297919, + 72528992, + 515907805, + 829025189, + 708635890, + 214902408, + 425019109, + 954467259, + 673371408, + 548447487, + 944011904, + 282006531, + 566780799, + 450814771, + 976818080, + 913010549, + 856084411, + 629375842, + 31682771, + 475815743, + 930296473, + 687960129, + 939434943, + 620140297, + 875309581, + 982120626, + 255543126, + 988282284, + 942543795, + 267024169, + 855292577, + 710484688, + 244211173, + 914168318, + 870354168, + 572805983, + 769091269, + 936289798, + 867755346, + 242963298, + 48015979, + 314032374, + 288712527, + 8772496, + 715575711, + 646945697, + 30337776, + 775495373, + 592609705, + 775698866, + 376549734, + 234003878, + 893499151, + 372322537, + 918870272, + 316026637, + 872631706, + 107099967, + 913431542, + 464802120, + 810236239, + 671018349, + 683081682, + 310692753, + 913751810, + 82225631, + 643156396, + 471665254, + 663491845, + 801683807, + 932536522, + 463542768, + 396591441, + 809153293, + 20834393, + 981260314, + 70529453, + 194576461, + 957892011, + 584885485, + 949666977, + 905318178, + 543514681, + 650897979, + 323448479, + 808239907, + 848570589, + 238288063, + 892757728, + 973034666, + 604996624, + 97120201, + 583514810, + 754274399, + 828955604, + 864783221, + 129123079, + 590726133, + 130888609, + 246388007, + 650934054, + 60062697, + 501338146, + 515140471, + 999015735, + 256367050, + 274804401, + 83201365, + 898147489, + 66030660, + 74284137, + 738562070, + 789553750, + 674455462, + 831251208, + 891282104, + 79025032, + 378306933, + 213540441, + 740533254, + 911765594, + 492368782, + 929111631, + 510499613, + 143527902, + 570464019, + 717212691, + 573046495, + 98850349, + 987492413, + 992445564, + 342614270, + 183126416, + 222607152, + 754811096, + 480955889, + 697471808, + 912246212, + 11358519, + 511830582, + 906240906, + 653997785, + 969498193, + 708784275, + 1651451, + 858556920, + 238833359, + 17259473, + 514346741, + 506251626, + 2188553, + 784470056, + 217146060, + 960204138, + 707383855, + 185008040, + 248967091, + 603177148, + 961277005, + 905390584, + 331413289, + 953946404, + 634977100, + 165863932, + 718554492, + 639118345, + 722426255, + 726537626, + 768650038, + 889341836, + 877401726, + 741061050, + 363143289, + 845604572, + 371774784, + 312511153, + 441309941, + 931195920, + 121433030, + 801965913, + 405314733, + 443130317, + 34261251, + 223852945, + 342408105, + 257931072, + 433094524, + 647982677, + 476440951, + 55057208, + 430976525, + 882451366, + 501340811, + 822104872, + 482675131, + 883027000, + 439511755, + 690209557, + 107127964, + 724545290, + 897038130, + 358176403, + 767526676, + 71747807, + 784770199, + 194243762, + 788388144, + 353696787, + 222080016, + 378448368, + 5800506, + 480395884, + 124326046, + 566945637, + 105744091, + 651543864, + 300464773, + 264328543, + 875362243, + 325858136, + 662884394, + 543469348, + 486330112, + 201790397, + 714701905, + 17471795, + 794207728, + 323040827, + 496210341, + 117029536, + 757318886, + 66023671, + 994320826, + 390084569, + 7609049, + 989047178, + 929454549, + 632175330, + 464054107, + 154766676, + 997499519, + 161555070, + 210260232, + 223206508, + 506745820, + 537082467, + 86431633, + 163532141, + 550188887, + 389529194, + 418073444, + 630639760, + 968549206, + 164894105, + 170033973, + 585163740, + 752475975, + 789594420, + 287979157, + 618525499, + 674932629, + 102066681, + 870649733, + 782538308, + 181637234, + 179576016, + 210623619, + 32649935, + 905909399, + 448946110, + 475516184, + 566229156, + 129047283, + 865955249, + 928124079, + 690833298, + 424898245, + 608124378, + 290484402, + 182607414, + 811018738, + 963292778, + 461740964, + 7859230, + 146411337, + 509321006, + 352905519, + 675014422, + 301328564, + 313777976, + 307395658, + 907005914, + 170194239, + 638766391, + 226463383, + 321971013, + 201187180, + 347210344, + 37527796, + 764485871, + 707663127, + 45401516, + 867441868, + 64400055, + 71530246, + 992402597, + 446152613, + 630355260, + 549925579, + 154484106, + 99500796, + 450977719, + 403552810, + 79047693, + 560954874, + 205857379, + 915657874, + 119180669, + 993561038, + 249742926, + 992339459, + 846621219, + 633973561, + 734062714, + 548436015, + 523816558, + 992554138, + 302131497, + 411142900, + 545958423, + 979659030, + 726054181, + 610896919, + 673441834, + 291364559, + 195131810, + 253350418, + 521248625, + 597792024, + 123152044, + 631474936, + 891891481, + 945434758, + 300129615, + 223450977, + 983093477, + 570077055, + 72564173, + 295593051, + 144280366, + 460578104, + 137977698, + 726482693, + 619092339, + 343304619, + 937869951, + 395018238, + 242895827, + 565703067, + 323975133, + 731964669, + 923642172, + 667479858, + 970650812, + 130042204, + 924262522, + 786690576, + 120440360, + 193577670, + 285263553, + 4110201, + 112074810, + 47469185, + 148231887, + 110028303, + 983578908, + 57161853, + 192310071, + 67030193, + 916291040, + 791888272, + 686739157, + 464083780, + 431751653, + 858121232, + 833430606, + 368010856, + 432034387, + 486928273, + 9979131, + 913370176, + 326324566, + 579577877, + 545519390, + 255038888, + 74827808, + 161829602, + 9314951, + 820240265, + 362567122, + 706277025, + 937758995, + 190923454, + 189937641, + 79016800, + 968720596, + 328961880, + 774661832, + 262620680, + 896929039, + 289382886, + 29688040, + 569172341, + 785242981, + 606307739, + 542468607, + 791221312, + 807291726, + 684787619, + 998746266, + 656983062, + 67353081, + 629120156, + 864036779, + 180212650, + 520683136, + 356887515, + 128357978, + 280099242, + 988755379, + 209258393, + 744789886, + 660257090, + 138293490, + 168675196, + 284800975, + 658341401, + 96135158, + 752175902, + 306751521, + 58915572, + 997143060, + 217076801, + 2448239, + 527266123, + 112640114, + 323298518, + 471813938, + 684238656, + 298540332, + 982009572, + 289216980, + 928353871, + 258408222, + 56266870, + 202595244, + 649227559, + 431120072, + 679014346, + 807752559, + 29346483, + 77036141, + 306830909, + 385040443, + 920357732, + 566291188, + 724345393, + 167313070, + 611467938, + 341473405, + 468094232, + 624830102, + 388534505, + 599298976, + 651276536, + 505472148, + 460880069, + 199204319, + 633328214, + 75828092, + 881074136, + 265864206, + 157865931, + 679949084, + 359335862, + 562450371, + 728788467, + 831273476, + 584131340, + 629221935, + 997873195, + 612344691, + 979379215, + 246499147, + 233528746, + 236312359, + 181181983, + 870302610, + 671574941, + 570423193, + 87665262, + 795002378, + 299318633, + 724839544, + 383776712, + 129183868, + 352486786, + 46122183, + 507485985, + 516756764, + 7000548, + 721729303, + 637777772, + 198274343, + 448303037, + 697623750, + 617520877, + 956114185, + 274821449, + 638170887, + 513329047, + 800154160, + 321489129, + 547366342, + 66094603, + 603171134, + 118976572, + 501543320, + 519239336, + 519949476, + 389759501, + 680565506, + 71491258, + 515913005, + 939744682, + 678363667, + 85765388, + 872603263, + 31137346, + 635438863, + 763708663, + 550609368, + 906456289, + 839592500, + 380843569, + 983730127, + 455972118, + 151699957, + 926195631, + 108246383, + 259797120, + 643359549, + 790562064, + 271961235, + 286329088, + 747495754, + 962290167, + 380611818, + 744986190, + 364431841, + 293535259, + 107988351, + 786314364, + 624660049, + 314933286, + 451229666, + 543249365, + 989891680, + 87749619, + 195637914, + 342524124, + 556908375, + 159502901, + 764868190, + 675217792, + 372683282, + 82545083, + 452198659, + 176637684, + 447083821, + 740133772, + 54648884, + 822680364, + 580592465, + 95353830, + 112705613, + 609523732, + 982907184, + 646503295, + 712687191, + 99634123, + 309250597, + 270422358, + 179783274, + 134779492, + 845346053, + 520972613, + 419184307, + 734390729, + 658716005, + 455183997, + 460891306, + 446785684, + 123769045, + 913561815, + 103667072, + 621858071, + 676389082, + 434796738, + 139835346, + 436839893, + 948100919, + 308322100, + 307508217, + 12089416, + 220213884, + 578842381, + 991226707, + 54267310, + 594467748, + 444606975, + 376215344, + 151254182, + 643461801, + 971841674, + 101941488, + 892622833, + 377990290, + 914369003, + 431535676, + 996506628, + 312058785, + 72040559, + 909693826, + 514117621, + 713350649, + 498275398, + 832697034, + 530631655, + 800437465, + 778690036, + 594974040, + 889990747, + 285292390, + 590749338, + 119253369, + 613280936, + 686408118, + 540132267, + 872670446, + 177331931, + 901620662, + 955814356, + 410020975, + 176518866, + 135758423, + 214732260, + 670228121, + 700256742, + 329866914, + 207106187, + 423624747, + 313418751, + 154182215, + 500482590, + 771542710, + 919125971, + 422635417, + 196709384, + 285995452, + 853481320, + 401796190, + 51134210, + 518625425, + 148026359, + 523389801, + 976293584, + 740871752, + 694349536, + 624325494, + 616566279, + 837831006, + 623098467, + 851204649, + 768618529, + 178185240, + 615836825, + 873636069, + 253375452, + 72237237, + 396388042, + 670106545, + 317432856, + 655955177, + 69250414, + 832271956, + 302325823, + 903116080, + 273987363, + 895895505, + 715034731, + 281436620, + 785337144, + 787673271, + 58656481, + 835933541, + 607683662, + 587809516, + 477688055, + 488679437, + 348251650, + 981417290, + 353833420, + 163886192, + 478924054, + 427516455, + 921364245, + 387092158, + 205306404, + 658692135, + 944357178, + 518112250, + 390198569, + 880154961, + 571564362, + 950167718, + 266212462, + 746360397, + 668373321, + 422571536, + 83905542, + 594698478, + 630376332, + 579041199, + 471744519, + 959995220, + 692195421, + 635738904, + 650086145, + 322160655, + 497147022, + 986532275, + 241795070, + 613893198, + 827441333, + 531461479, + 374941697, + 798124926, + 259386377, + 153429168, + 10054967, + 92710600, + 297419678, + 189027474, + 107227119, + 847316279, + 661576281, + 411383787, + 462362931, + 500860338, + 531886033, + 705333395, + 428784554, + 821464242, + 918977553, + 239745022, + 170523464, + 796457479, + 342187179, + 341832502, + 881349889, + 944946524, + 803669796, + 24932496, + 779266289, + 907809710, + 318214068, + 552609484, + 632049945, + 158123505, + 48556835, + 863713679, + 677325563, + 134902862, + 768168940, + 730850613, + 411743549, + 900187034, + 925212202, + 898853195, + 223778832, + 543058841, + 242000589, + 612684545, + 517253273, + 204429273, + 581796069, + 160832072, + 239426176, + 256150276, + 15262852, + 937369429, + 205756336, + 280143624, + 844798499, + 497131058, + 385029232, + 671990228, + 621169070, + 500970852, + 909193838, + 577578510, + 546392818, + 79609537, + 976530226, + 156714390, + 287036682, + 755810543, + 948017972, + 155329425, + 578274653, + 503079257, + 598465749, + 390086486, + 120035795, + 605005039, + 668686690, + 600173688, + 821840132, + 776094284, + 276180434, + 465619111, + 35126223, + 208601329, + 618012443, + 295149803, + 646845649, + 930280544, + 421182331, + 46795126, + 869832119, + 706342502, + 583450787, + 115894908, + 380145207, + 570229621, + 443901726, + 791089220, + 970809137, + 621788254, + 737158990, + 112243429, + 351504035, + 932390003, + 658560783, + 822060186, + 538006496, + 259789626, + 44605240, + 603020580, + 233199772, + 369059649, + 141541140, + 5851112, + 624932162, + 26503526, + 915353171, + 395811366, + 964362226, + 762594398, + 497752223, + 453892137, + 25111977, + 571215081, + 944886052, + 413836522, + 879526665, + 940322681, + 813265247, + 374045376, + 897850211, + 732249503, + 769240522, + 749592175, + 532633692, + 753914219, + 209892310, + 91260031, + 655684428, + 693140848, + 651393476, + 1566209, + 793624413, + 375586535, + 890588624, + 814740341, + 648387963, + 615265215, + 726158582, + 705880264, + 948504501, + 618468393, + 901981709, + 266308187, + 456364492, + 79979372, + 221506126, + 522772635, + 345359365, + 571808812, + 137778919, + 933032842, + 451369205, + 567148022, + 132429850, + 305200351, + 45119773, + 789262650, + 811887706, + 59988970, + 139538378, + 518305929, + 371909120, + 358560701, + 368624982, + 729607691, + 554334200, + 65794198, + 361089994, + 771669160, + 330994527, + 871957916, + 264647721, + 724965853, + 852248656, + 358223517, + 944170157, + 825990779, + 994429328, + 420343764, + 685105148, + 830875786, + 336138763, + 479204731, + 837190993, + 153665899, + 311452782, + 152626736, + 919786348, + 779018510, + 628825334, + 986571788, + 130166333, + 712596195, + 747325708, + 490522724, + 47928992, + 623624465, + 598211896, + 528686234, + 231500958, + 923120545, + 784050979, + 830234585, + 822144694, + 293818966, + 865639204, + 183254222, + 499555269, + 790030041, + 454615151, + 224902305, + 498222488, + 459156249, + 845377085, + 535326588, + 254234362, + 458546732, + 707615011, + 349950399, + 114393151, + 528840627, + 450330609, + 586083518, + 586401832, + 857206728, + 645667725, + 606261191, + 138229959, + 977043812, + 560195089, + 289741584, + 522622044, + 569641675, + 508919607, + 140247980, + 465979808, + 873508970, + 61275921, + 192658072, + 467740007, + 122457980, + 266775964, + 117983595, + 481498709, + 714164833, + 438822695, + 682182001, + 764713071, + 948842975, + 492352963, + 748794115, + 477037755, + 770158787, + 431684757, + 399056643, + 175250387, + 653977438, + 982251198, + 791589256, + 597077020, + 515466827, + 660727360, + 744265123, + 699762977, + 468273214, + 717920427, + 977811637, + 17295544, + 485412584, + 955653541, + 946288627, + 638371201, + 807382042, + 507366852, + 712687619, + 655921843, + 322648008, + 834997890, + 213187876, + 821916460, + 881863521, + 807020525, + 907598365, + 337455788, + 244875674, + 772592640, + 600394377, + 136355183, + 746818967, + 450692105, + 329243090, + 603584826, + 655176979, + 923907009, + 779750167, + 233348619, + 550077087, + 888742577, + 710570413, + 971871168, + 552825474, + 811433605, + 465182535, + 430711008, + 269897340, + 836298026, + 245339883, + 44603836, + 391534620, + 715021260, + 264774255, + 882207133, + 314768854, + 22791152, + 761870346, + 744100789, + 220324234, + 558226479, + 909001131, + 641011842, + 760646560, + 595023385, + 187315107, + 495406312, + 363218327, + 570798546, + 427887821, + 607667856, + 594461663, + 520707277, + 807702400, + 334608448, + 225124083, + 591805076, + 904497165, + 362256570, + 656694368, + 549144289, + 808446998, + 579740458, + 53062711, + 624038512, + 547645870, + 775629739, + 779293590, + 370165279, + 785685877, + 305892908, + 195899848, + 207496376, + 928611629, + 290294943, + 507919815, + 446687017, + 732526913, + 101492293, + 856296892, + 432867262, + 576186436, + 402446762, + 369456373, + 599649023, + 486939074, + 425943566, + 332647745, + 355500314, + 757181475, + 443834820, + 489908245, + 221431986, + 798507379, + 542523852, + 392530986, + 345168491, + 404116557, + 855957849, + 216520279, + 166768853, + 713251959, + 968367823, + 334970417, + 181138906, + 143364883, + 556797898, + 261774212, + 285900954, + 923177495, + 652467067, + 843522407, + 673338531, + 954812393, + 144515076, + 433168616, + 100457434, + 197777844, + 272038290, + 840095777, + 320682734, + 525003494, + 898496675, + 270007159, + 274388867, + 461952967, + 361650675, + 255532177, + 134256907, + 554429003, + 229809589, + 880060062, + 249872599, + 379827621, + 548854579, + 438419757, + 221227228, + 394136675, + 45725447, + 561403176, + 958391041, + 393232485, + 263068688, + 265438366, + 424599304, + 503391028, + 635144936, + 586177659, + 997659941, + 650958807, + 497990351, + 81434297, + 925412142, + 545062321, + 907924849, + 154430608, + 780745714, + 900796565, + 519963662, + 997685621, + 750988545, + 42752783, + 158351606, + 491278582, + 811862031, + 231660106, + 525501159, + 633106361, + 966317411, + 766855088, + 703418146, + 817797809, + 450042273, + 932832885, + 180641814, + 967396929, + 190842170, + 648047583, + 935754989, + 336839009, + 390924247, + 812349437, + 394502469, + 4590354, + 810932907, + 299162387, + 833092198, + 639278702, + 822368606, + 488403292, + 815117844, + 454860739, + 280604167, + 889416813, + 781021574, + 366096585, + 144968181, + 127690879, + 247742159, + 367541851, + 780146041, + 358295533, + 975573347, + 516024447, + 738184110, + 569745923, + 840048428, + 788601269, + 608645739, + 786460501, + 488022081, + 454273689, + 492767455, + 275381778, + 105532937, + 874272580, + 286153393, + 813885079, + 784816436, + 263690324, + 41871146, + 252096507, + 184848591, + 965632287, + 252707786, + 508358707, + 422991248, + 373940210, + 996029294, + 554793251, + 340414391, + 538487413, + 959854820, + 133565312, + 228041104, + 257374956, + 16611568, + 758518261, + 107570607, + 867802392, + 484042372, + 786445501, + 766224458, + 848739548, + 738236982, + 824069126, + 254494117, + 702139252, + 395505084, + 714422446, + 426312492, + 312590708, + 646254434, + 598576926, + 489718779, + 775084909, + 905021385, + 28072072, + 950517870, + 169600266, + 997752584, + 920390699, + 77686045, + 651301282, + 421435641, + 236030525, + 896276504, + 71431628, + 678964018, + 484468426, + 383066993, + 856156209, + 611387296, + 42864166, + 25060204, + 85825254, + 144402381, + 593481901, + 935370886, + 684463218, + 91279349, + 605761403, + 336422521, + 670376253, + 377678962, + 193791049, + 148614979, + 417488555, + 983251342, + 453578822, + 730156029, + 470133701, + 648939336, + 479147392, + 184133228, + 970292507, + 669815791, + 221470917, + 762312104, + 828607037, + 657412451, + 365116514, + 353725436, + 604147431, + 128366214, + 165993139, + 439746679, + 804147206, + 834059720, + 128419088, + 201144969, + 424448588, + 491966688, + 868701518, + 915175243, + 350671214, + 349819095, + 473236039, + 749619912, + 476193073, + 755962005, + 837969655, + 982355965, + 812889892, + 342763524, + 88253398, + 27260136, + 93131742, + 866658826, + 427025948, + 139565966, + 345495661, + 397928768, + 293399866, + 378266924, + 528729131, + 562356627, + 615920294, + 231960720, + 314550797, + 741983866, + 827745351, + 437485977, + 463465279, + 903844759, + 477581973, + 187739015, + 631291254, + 42508503, + 550991362, + 47451744, + 750720221, + 767783585, + 563045360, + 878826552, + 245797050, + 92834700, + 552250981, + 440548081, + 772266562, + 3255797, + 199146188, + 876518239, + 185820781, + 758852515, + 924687034, + 420843941, + 50454684, + 745647987, + 699785760, + 324579243, + 195989932, + 298093235, + 168344581, + 103704176, + 772343011, + 355193995, + 604294703, + 230076914, + 235800982, + 965478310, + 781189498, + 750493550, + 761080425, + 131097300, + 220717253, + 668489519, + 411336001, + 226669116, + 864508661, + 227851847, + 762290279, + 495333557, + 638229174, + 919351296, + 670196457, + 33657753, + 432650198, + 646093454, + 537383092, + 980022312, + 598753929, + 734787605, + 917155859, + 219021243, + 980022055, + 269067064, + 776583118, + 149094130, + 514138983, + 850426542, + 307520978, + 482757247, + 268392174, + 607338163, + 152555836, + 507284326, + 285929982, + 888131650, + 510374479, + 674431977, + 369987320, + 451450027, + 763924936, + 538138601, + 690805388, + 849594916, + 633589027, + 937038176, + 491455092, + 951357550, + 238448445, + 540333417, + 432015532, + 69670641, + 803556959, + 38362808, + 603438852, + 788071033, + 176860302, + 187776501, + 787350628, + 857400488, + 694771492, + 788923335, + 72943742, + 348171704, + 6937219, + 311275897, + 725969901, + 864749724, + 264886453, + 270363310, + 934876034, + 235148726, + 386831867, + 483268833, + 157130996, + 142984839, + 457063065, + 139184428, + 302109889, + 367171922, + 837761235, + 549274047, + 224418777, + 870267632, + 208193490, + 488285169, + 852447224, + 507301052, + 45225153, + 46224249, + 924256500, + 994390340, + 760161781, + 76440546, + 153425317, + 520081158, + 317710456, + 919349362, + 339854178, + 905448642, + 459956182, + 8973104, + 100192450, + 620445893, + 803087594, + 754654562, + 360026240, + 824563880, + 131603969, + 540891273, + 735193709, + 994343257, + 227720404, + 455788400, + 393233979, + 23111734, + 713284323, + 478560671, + 8298919, + 669166660, + 911684983, + 849874186, + 862180172, + 311496400, + 817157046, + 920424691, + 540167601, + 198968000, + 117019164, + 518721132, + 366496262, + 820836798, + 631968815, + 342936842, + 152775910, + 680670466, + 972402561, + 992846393, + 485951075, + 194100817, + 699579258, + 730283090, + 302263875, + 497279864, + 819643733, + 645523528, + 357054383, + 332616724, + 709937519, + 114910197, + 830346743, + 863100637, + 330511121, + 451222411, + 796152112, + 296632974, + 431312315, + 802269911, + 384048380, + 852927576, + 961942307, + 833151806, + 225410087, + 86895951, + 764776818, + 34010383, + 219198233, + 166920800, + 372269005, + 833376338, + 623873901, + 854709870, + 371199030, + 490419406, + 436984047, + 435252748, + 371782348, + 728644992, + 719645325, + 759496656, + 547266030, + 242712487, + 473725186, + 166582119, + 306558253, + 351736703, + 482972289, + 745605422, + 763649274, + 848291010, + 134521238, + 822918813, + 70559577, + 169118030, + 633838309, + 287432670, + 801147883, + 891175225, + 509084210, + 73769140, + 550755342, + 806145346, + 658957964, + 299641265, + 62025854, + 564456547, + 968813879, + 432804960, + 308698793, + 373925099, + 320614906, + 500718496, + 136853297, + 738459928, + 542130425, + 728820527, + 444764726, + 948100284, + 424857548, + 832004192, + 350652329, + 495702710, + 709518584, + 232724247, + 902059401, + 521078473, + 421778039, + 368752854, + 859413162, + 305228196, + 569612959, + 119478576, + 440939924, + 336556669, + 261837223, + 454458371, + 520640162, + 439056500, + 112851905, + 998294024, + 78011366, + 453448739, + 302871366, + 339704222, + 108838781, + 103878981, + 64776946, + 148823679, + 385969505, + 520961502, + 182901508, + 468065929, + 351016973, + 314484154, + 154941739, + 455109765, + 760701208, + 719822996, + 816587809, + 43960368, + 244146286, + 625605355, + 101149226, + 124858314, + 82047885, + 26907490, + 528419479, + 18201173, + 430420596, + 956358821, + 389090998, + 789721765, + 680171442, + 984264344, + 209885149, + 640332817, + 760804843, + 584776255, + 180409136, + 138423134, + 325709960, + 879311377, + 47679525, + 894576264, + 413399275, + 959832635, + 863640295, + 13820699, + 300580016, + 659025744, + 494867159, + 933143916, + 822920348, + 178813374, + 759299732, + 789471099, + 820190118, + 496599515, + 528007880, + 785784734, + 8914162, + 43878697, + 649902576, + 917140509, + 461088305, + 439717817, + 810124900, + 116815509, + 372137600, + 834308431, + 612644741, + 399525031, + 599777196, + 129949141, + 952217753, + 171808098, + 158692196, + 201484294, + 856515821, + 898348168, + 677072565, + 518213247, + 593385160, + 48129692, + 587503115, + 108953611, + 95818029, + 390480872, + 381008174, + 843611590, + 787741708, + 146334505, + 984488266, + 86158400, + 700151169, + 333340323, + 396976975, + 308747539, + 732319739, + 111398730, + 113517701, + 96868199, + 192794002, + 882186080, + 772600199, + 138860098, + 833178375, + 991318904, + 679272344, + 645755335, + 315277129, + 470874546, + 340903216, + 665276379, + 541453974, + 936499501, + 68492445, + 159830857, + 555515333, + 90352805, + 942468123, + 649287938, + 146679523, + 168552478, + 549284820, + 40581880, + 315799543, + 636176607, + 785469953, + 248459588, + 991426005, + 45281277, + 364817769, + 782737803, + 417670028, + 200183740, + 960650569, + 425180911, + 902347648, + 918643232, + 98165938, + 665365073, + 830330706, + 779459856, + 620234398, + 621265505, + 350332919, + 360514942, + 393320082, + 178205209, + 363756069, + 681800704, + 860836831, + 412464790, + 907254805, + 683436192, + 386708006, + 81966382, + 831895588, + 438322346, + 771335941, + 851195299, + 262903444, + 362016520, + 577700910, + 524529851, + 395853554, + 29581453, + 514235576, + 916323139, + 166069873, + 552278366, + 104787462, + 162558930, + 859281432, + 558312887, + 273555689, + 926454675, + 35523670, + 503009445, + 384405345, + 313391919, + 300935107, + 775803617, + 199983144, + 677375829, + 255235157, + 437308268, + 38992385, + 691498147, + 393760961, + 459290330, + 570045263, + 512280920, + 173091726, + 915870991, + 107987562, + 360034250, + 511964762, + 520548405, + 358290560, + 507755374, + 787378854, + 626460760, + 344984838, + 323262078, + 147694093, + 415185826, + 955567800, + 534524188, + 298180166, + 619674268, + 542017515, + 498565332, + 912458161, + 427589188, + 218463444, + 772691156, + 909025008, + 250866499, + 980261899, + 726950920, + 957754135, + 998664042, + 24038709, + 177262083, + 904723467, + 686634388, + 710786294, + 945460309, + 400081307, + 142203517, + 120528766, + 264439996, + 715952108, + 236130930, + 81412663, + 360711334, + 616911473, + 662901255, + 674504723, + 173898834, + 290178335, + 199708283, + 66948803, + 219407456, + 799514441, + 790629518, + 852009907, + 267446458, + 201735813, + 246692568, + 88578940, + 521331956, + 333072496, + 808671993, + 775564396, + 157066897, + 909177288, + 126066613, + 630024195, + 119830083, + 143172716, + 224276862, + 374845680, + 993832865, + 196328254, + 778680365, + 100146975, + 634478234, + 470117916, + 923060320, + 875662124, + 329693426, + 396949326, + 734130223, + 875530075, + 270905123, + 507985957, + 747726108, + 258393733, + 960250955, + 650320393, + 900663748, + 646155245, + 447349909, + 338573777, + 365496379, + 499911870, + 655192304, + 946619342, + 860709321, + 888012973, + 596901158, + 161487796, + 155253723, + 379866869, + 361850807, + 470434032, + 198435307, + 390451624, + 742197696, + 404274257, + 787795677, + 217164200, + 987882578, + 558085540, + 813496129, + 960070920, + 79661137, + 992813029, + 69551410, + 821447401, + 255386188, + 830832473, + 140200704, + 933279552, + 989816054, + 794192466, + 929962900, + 303037916, + 825539962, + 388030892, + 968769404, + 293369937, + 50697572, + 260294443, + 363093927, + 79610849, + 395494978, + 620029582, + 10447421, + 840208677, + 61534920, + 688940886, + 597338548, + 962242671, + 829058615, + 958565296, + 170622305, + 237673359, + 719011736, + 205901300, + 458203576, + 709980094, + 452238074, + 982797047, + 979381043, + 255585552, + 941869452, + 404232752, + 658131405, + 72855095, + 101559157, + 28500704, + 491876639, + 267160413, + 140384823, + 550593393, + 256089395, + 868551562, + 681505822, + 483686217, + 98199660, + 677816132, + 32656871, + 773200316, + 558203967, + 706463633, + 607418347, + 767817049, + 738161395, + 81670994, + 885981387, + 321859977, + 735150361, + 811633825, + 752686176, + 425341719, + 335446305, + 362976768, + 14219295, + 242572822, + 829850439, + 986768223, + 739801907, + 786741123, + 53905209, + 492954185, + 899575040, + 354738683, + 400346132, + 773910718, + 787349171, + 987756595, + 703241585, + 466753437, + 810102731, + 313891511, + 127768627, + 963055664, + 167532012, + 139380704, + 210757637, + 80275374, + 725562526, + 158612911, + 768673548, + 399239777, + 296046228, + 18733021, + 259443899, + 951401692, + 304578130, + 361593173, + 968880228, + 499478253, + 905944420, + 641956050, + 634436054, + 872858913, + 756246700, + 636891894, + 143677994, + 507846322, + 65983489, + 866552315, + 911721324, + 199578617, + 138010139, + 895872459, + 558060259, + 836837413, + 382085674, + 86137130, + 48469849, + 175712288, + 939144087, + 844615659, + 527693142, + 631501139, + 264272292, + 103792046, + 135559902, + 463648554, + 1754102, + 884054363, + 593355846, + 864901717, + 715092347, + 337104853, + 231826461, + 293325247, + 8241697, + 717840439, + 742059191, + 63575367, + 869761246, + 226848070, + 832080329, + 377080516, + 5642107, + 170699949, + 650518782, + 454357150, + 200931146, + 213628795, + 455060744, + 629510578, + 510463964, + 64326392, + 572478373, + 526014792, + 318866774, + 834954897, + 582861853, + 137587638, + 220143913, + 514485305, + 546627850, + 315178293, + 779178878, + 970060564, + 834426878, + 170969055, + 265144765, + 49469628, + 621147583, + 121717237, + 164032844, + 716776424, + 847118718, + 286106460, + 476259318, + 166963335, + 845987665, + 905718101, + 505234515, + 436801819, + 991078762, + 829358308, + 388702699, + 358874564, + 84569656, + 119198226, + 751879906, + 59425510, + 53755153, + 96483122, + 128874317, + 785923040, + 197760964, + 961812638, + 754247836, + 423564667, + 808920603, + 552389783, + 171942634, + 249773904, + 473893618, + 566004619, + 942065045, + 345329399, + 289859020, + 792461122, + 100924548, + 396539988, + 243521503, + 291604159, + 475206596, + 620423071, + 780660364, + 699372649, + 490130952, + 191872937, + 893361484, + 307439183, + 483700259, + 433380111, + 39630991, + 327046384, + 134668244, + 777618401, + 127853473, + 731602649, + 147770991, + 880346335, + 867055264, + 141750688, + 94168423, + 159398680, + 592365508, + 258046208, + 758684531, + 472764697, + 230273351, + 46609993, + 275451259, + 638261768, + 986116432, + 21861487, + 438816689, + 327259985, + 133899256, + 848039307, + 186421485, + 196239338, + 751634526, + 510698909, + 37997141, + 136870089, + 87051574, + 648901360, + 151109939, + 702782002, + 507566740, + 295509734, + 354496162, + 500413155, + 762073381, + 350949112, + 638445805, + 902416976, + 61864546, + 877818778, + 612752543, + 221352455, + 181868205, + 707856918, + 571531280, + 231020087, + 306994965, + 953914262, + 807668272, + 740783552, + 358400930, + 618031279, + 964094800, + 200899302, + 700871962, + 627552883, + 349930543, + 720427034, + 324554368, + 737330987, + 297177904, + 767931131, + 601237654, + 667706333, + 510549261, + 901250, + 984603966, + 266067613, + 499232717, + 459576860, + 228652703, + 467892087, + 377486701, + 446681606, + 217619426, + 961747451, + 77623422, + 284499960, + 863849290, + 148298889, + 5766965, + 53047027, + 582129751, + 132435067, + 67862006, + 732465581, + 481681919, + 154798153, + 836489341, + 422258299, + 677772155, + 144079050, + 905270656, + 153620695, + 381513406, + 174006804, + 642431609, + 645292212, + 368577674, + 512384516, + 592924743, + 824877668, + 12187023, + 76098338, + 167973054, + 4175822, + 765694364, + 401845221, + 623748023, + 743269201, + 624096452, + 802219001, + 980797320, + 687389908, + 1641175, + 257560397, + 224005916, + 5757118, + 421050715, + 933578683, + 550951237, + 383393590, + 967667083, + 691506177, + 76074166, + 67972827, + 224293580, + 601375087, + 820123677, + 354274896, + 130420624, + 630332979, + 260228986, + 92988385, + 572937219, + 542733311, + 490100049, + 787891310, + 21709148, + 344331186, + 253880059, + 329020633, + 625679960, + 41394059, + 137005743, + 199797943, + 879681033, + 926281704, + 365239271, + 665174094, + 413204795, + 308451438, + 410401654, + 855179034, + 116432526, + 677993097, + 413656998, + 669406381, + 764908501, + 762876935, + 125969056, + 820408234, + 511156870, + 120717446, + 915674521, + 950522694, + 168364222, + 718341641, + 89009193, + 254773655, + 861948472, + 842554878, + 407836941, + 695684950, + 225954080, + 990153269, + 231036689, + 907142842, + 880675161, + 600738779, + 30737639, + 64753456, + 296121201, + 387198333, + 364384185, + 963338121, + 804121042, + 465278358, + 102120752, + 196698776, + 755377151, + 872418735, + 795181554, + 29866952, + 366687047, + 560521084, + 681577557, + 171320119, + 218696537, + 299448767, + 970597238, + 961091948, + 348579406, + 73560350, + 939944829, + 962888709, + 685500516, + 240579040, + 672799886, + 985694464, + 839818862, + 512790724, + 628299, + 806149903, + 209611415, + 104450300, + 161704848, + 878899090, + 567190449, + 984321512, + 599268611, + 36879775, + 508565300, + 859736727, + 926936074, + 498014353, + 622438077, + 375335333, + 53578623, + 759585154, + 755649259, + 449173842, + 340263663, + 36452316, + 535071986, + 948580699, + 27720542, + 619965027, + 103937113, + 710342102, + 346355046, + 847927408, + 312878937, + 461969785, + 186734596, + 402022606, + 144666165, + 725038312, + 261714105, + 179967034, + 349956713, + 228079307, + 767557268, + 259058593, + 556821401, + 726966268, + 114097716, + 538198586, + 539185104, + 615348821, + 717792358, + 623589418, + 870679150, + 633168651, + 877468075, + 983908722, + 941758621, + 218799449, + 925929385, + 67538920, + 578159526, + 445969297, + 108095976, + 474125159, + 288017579, + 660452066, + 35612659, + 618080948, + 916892000, + 601316618, + 757720727, + 269949934, + 68199084, + 186037875, + 895851576, + 982013657, + 367298973, + 664255233, + 651208853, + 480910196, + 428079022, + 69357082, + 508419878, + 403856734, + 275690710, + 905575404, + 700553418, + 554856034, + 668454989, + 30356231, + 86803912, + 607840019, + 815542939, + 622216808, + 247119823, + 424743733, + 681632127, + 210910930, + 721250991, + 902313831, + 327607253, + 988704284, + 404030313, + 775774728, + 312521766, + 127537644, + 22812932, + 440905526, + 772569430, + 28732923, + 119704297, + 240063637, + 794937227, + 854101791, + 853823464, + 221833202, + 37609028, + 461274490, + 519538841, + 708223574, + 318122068, + 743248294, + 185908539, + 117759162, + 479098346, + 725733145, + 960128788, + 428545806, + 627195637, + 602246812, + 469444844, + 196195829, + 876901340, + 166910037, + 652651280, + 784760124, + 200664105, + 893510456, + 46219243, + 837640357, + 864815689, + 609788395, + 89677844, + 142763953, + 898949995, + 670882754, + 682869166, + 381539847, + 864954356, + 650173316, + 423920660, + 843663169, + 831116037, + 746969347, + 957639114, + 577377652, + 152366954, + 587236938, + 819936316, + 434949335, + 462683938, + 35327949, + 456496230, + 322261150, + 989484498, + 153591426, + 816615737, + 324624638, + 490646020, + 930775454, + 320633695, + 27672208, + 994828255, + 324699394, + 264102322, + 128762602, + 951577337, + 741879785, + 107538821, + 192079047, + 136368, + 44518687, + 372120248, + 879797815, + 15584384, + 933528438, + 466698897, + 214882618, + 862540561, + 908963326, + 94673093, + 273026276, + 544194584, + 748189688, + 658497914, + 161565874, + 927269561, + 622245138, + 640379728, + 967134458, + 77812262, + 698434408, + 307845102, + 242320976, + 867276153, + 128008212, + 976440348, + 649432958, + 294675452, + 95885645, + 450962849, + 1513466, + 477524414, + 579289190, + 58601743, + 296610706, + 443191431, + 102939821, + 133760022, + 16174890, + 404299584, + 65438711, + 283963186, + 14055203, + 261443111, + 830279042, + 636555881, + 522841483, + 88213601, + 897646669, + 246858781, + 794830555, + 509285475, + 876290521, + 890146949, + 336816781, + 192072742, + 680339100, + 455947903, + 970547620, + 714586287, + 221935623, + 445788640, + 418663288, + 169655716, + 86305772, + 377732984, + 443719075, + 513386363, + 100178245, + 316690852, + 812831228, + 424395511, + 713812552, + 344597802, + 418083371, + 511948109, + 345762631, + 14045632, + 442734880, + 535471851, + 24471037, + 865148236, + 126351841, + 199289363, + 314555202, + 37738322, + 105601064, + 973169994, + 816071539, + 425725865, + 219263197, + 23554247, + 801170499, + 520672802, + 766614977, + 733565832, + 137089103, + 922897795, + 102788601, + 14760328, + 37514022, + 870270148, + 949667867, + 75663806, + 603997080, + 825010353, + 372583433, + 289857345, + 929459501, + 248591661, + 539723384, + 987892953, + 152400915, + 966164648, + 75548906, + 97729278, + 357740532, + 94945706, + 603470307, + 538252491, + 583487202, + 869329446, + 775440966, + 716036780, + 904197169, + 805506979, + 411230000, + 927249874, + 274623055, + 709669351, + 864970397, + 80025650, + 310512220, + 691041334, + 636028807, + 452346486, + 378966118, + 864501115, + 585600286, + 866911327, + 710195334, + 290406890, + 149718084, + 252629020, + 486165459, + 978465374, + 772182845, + 741335579, + 510452860, + 413260391, + 846207585, + 431304571, + 982355791, + 356526620, + 614536026, + 874974282, + 535928387, + 50945352, + 662803302, + 698044481, + 935586519, + 736529289, + 54847429, + 403375537, + 178622302, + 16700161, + 465501131, + 602055289, + 802137624, + 418783723, + 820512994, + 763468433, + 695380423, + 284195836, + 988177919, + 712089514, + 120711347, + 20203365, + 885958823, + 324996709, + 796729946, + 941178094, + 641919839, + 416454155, + 64852608, + 687779729, + 319164378, + 692269278, + 294318511, + 24265579, + 745306824, + 310643251, + 413268661, + 380440536, + 441088151, + 998029552, + 810777697, + 220051058, + 453239696, + 939276594, + 913826228, + 866401893, + 562178425, + 726502014, + 190790, + 182907004, + 226544348, + 709417742, + 315196883, + 996758676, + 604040966, + 77003213, + 323873716, + 160923281, + 688797098, + 625974536, + 533128992, + 286817373, + 806447309, + 674883756, + 473859315, + 680156199, + 955553605, + 563873175, + 715289405, + 741930801, + 419956180, + 435139337, + 692750488, + 151598665, + 314976398, + 939996163, + 565804938, + 719743437, + 114848735, + 551376072, + 37788132, + 454472060, + 292807419, + 135190474, + 310250368, + 181425178, + 640990782, + 235290540, + 315687328, + 994403922, + 892816795, + 360959184, + 314515598, + 769906139, + 658529107, + 997344471, + 559037456, + 187042385, + 33441802, + 320405371, + 378274234, + 701689249, + 370730844, + 458597005, + 31647897, + 499673416, + 305944895, + 342889882, + 745299825, + 54989551, + 252324367, + 942134927, + 865366748, + 880147043, + 85472432, + 213757478, + 559088340, + 524813245, + 697106555, + 235808096, + 974865539, + 629432578, + 262470819, + 312597995, + 145352878, + 270253473, + 281601943, + 773005029, + 359051247, + 251214385, + 811379355, + 481267910, + 38896873, + 881894689, + 196215345, + 877153584, + 244968508, + 498225681, + 430382083, + 200896771, + 772278013, + 829791905, + 806094000, + 148255458, + 171283794, + 170088444, + 352692220, + 789933496, + 430866825, + 600657910, + 259762747, + 99723763, + 849822203, + 743742943, + 778703812, + 201040914, + 903397582, + 8634915, + 876048101, + 221783715, + 886375285, + 121913480, + 455296511, + 632727766, + 350087416, + 738097003, + 988750606, + 915520177, + 147606819, + 865063990, + 438244332, + 258839073, + 116491429, + 915828762, + 413663958, + 62294999, + 196005612, + 644802175, + 873659572, + 568091089, + 176123254, + 401278698, + 522040568, + 723763651, + 391116815, + 58279614, + 503731559, + 879106417, + 323445773, + 998978336, + 296742413, + 168673808, + 291977504, + 580766503, + 466546115, + 399127808, + 821213187, + 975374074, + 633212003, + 636011935, + 379306772, + 880316891, + 465452763, + 573863068, + 511391672, + 215349216, + 943510852, + 652792043, + 280359799, + 765269848, + 112097141, + 881657054, + 721613107, + 950798335, + 529210349, + 170008187, + 345750928, + 230231424, + 458069181, + 554089564, + 972157932, + 733726735, + 724477718, + 520860235, + 807599967, + 609247742, + 634809555, + 92091249, + 298178693, + 324468711, + 787923786, + 903732639, + 581373770, + 655898510, + 936168841, + 943285154, + 731576905, + 370072686, + 333131550, + 790038413, + 576800840, + 983118315, + 9545579, + 101161544, + 38709964, + 791425228, + 999552009, + 112104949, + 661274944, + 744195930, + 31201295, + 537498003, + 641445481, + 260299856, + 156044053, + 225211225, + 827117935, + 785075044, + 962100503, + 465173904, + 716164077, + 410081794, + 130559159, + 726316186, + 985526352, + 715997034, + 807614462, + 199123787, + 388222968, + 679057825, + 570646718, + 195487218, + 439127122, + 659151257, + 842068991, + 876046760, + 154028716, + 52940731, + 435712807, + 991523237, + 263739758, + 534655279, + 987991414, + 282466413, + 707320567, + 813992508, + 526312862, + 440673102, + 980076409, + 943432306, + 267964628, + 85253830, + 501710756, + 238878772, + 445965670, + 587454850, + 741894036, + 750578503, + 464208721, + 742311075, + 509377580, + 618787213, + 152273174, + 651255116, + 955605931, + 110029630, + 853453626, + 138090005, + 845105451, + 824042533, + 377439621, + 600745380, + 190983269, + 338226774, + 297898359, + 646792454, + 917310354, + 255721909, + 399363664, + 758712792, + 706264999, + 279020095, + 240768125, + 146096485, + 319349662, + 317032616, + 736397875, + 203107293, + 315753416, + 200023280, + 274188817, + 677768309, + 926008356, + 111411097, + 913574053, + 908883082, + 794622060, + 112404619, + 968884502, + 474221650, + 996598046, + 222779187, + 832049730, + 655642900, + 509837417, + 104382145, + 454615217, + 875894137, + 841699415, + 292781145, + 621726784, + 361151304, + 481130359, + 948064567, + 776559324, + 511620232, + 878356810, + 869559988, + 183052101, + 122407479, + 337147442, + 570951813, + 660611510, + 177232061, + 949773392, + 576999176, + 667406324, + 616766488, + 405907553, + 891549446, + 528129091, + 372564206, + 843853193, + 743875402, + 699154631, + 3728906, + 192427827, + 127577299, + 623330746, + 629202123, + 285113953, + 412911188, + 559056730, + 865739546, + 487159641, + 850075372, + 74225778, + 514575643, + 239848102, + 36167014, + 844193628, + 992212681, + 405446563, + 896720178, + 984885374, + 833244098, + 23002433, + 848668870, + 581795576, + 450649001, + 952819865, + 656286429, + 192077096, + 16714468, + 573919626, + 137775460, + 153498686, + 843873498, + 396282421, + 673617197, + 825015589, + 15158435, + 230016774, + 613748661, + 83907757, + 12101194, + 799779380, + 592994721, + 133509040, + 659440368, + 474927252, + 166104181, + 179245989, + 912614947, + 466417455, + 698129598, + 227555592, + 406745222, + 357861664, + 460196880, + 560358206, + 328963702, + 658630354, + 185115662, + 12588910, + 115249929, + 154907273, + 39238338, + 798456322, + 636076189, + 249091271, + 504352516, + 642112893, + 261690667, + 321584151, + 532999921, + 769430187, + 320885915, + 551223059, + 780871092, + 958142560, + 579066385, + 722188340, + 783157363, + 75348747, + 483485658, + 276995261, + 377162859, + 889799808, + 433515996, + 456180893, + 34054517, + 683175067, + 709847001, + 396703449, + 476419604, + 727972314, + 313480325, + 966154525, + 324899959, + 196321782, + 883481755, + 706985211, + 839631356, + 845799034, + 874378702, + 904024642, + 547273148, + 878608836, + 24592016, + 86400766, + 287648511, + 485566089, + 376508053, + 520576788, + 683396146, + 383115663, + 748919806, + 850556146, + 591096817, + 229376747, + 263440731, + 694607840, + 604976986, + 496149818, + 151672659, + 895348190, + 156157254, + 500830004, + 313656027, + 954052944, + 313378385, + 245116555, + 128878539, + 498194156, + 977995791, + 9179908, + 258949498, + 494211597, + 632001267, + 162160023, + 26849764, + 137915720, + 717759610, + 57834200, + 193095056, + 384748678, + 212914555, + 187628942, + 459389821, + 66906177, + 870647564, + 520576219, + 699846957, + 172228385, + 460378520, + 410430349, + 652933927, + 977982210, + 433974164, + 143282888, + 459014005, + 482080737, + 639138800, + 76348095, + 201907954, + 618568443, + 859782429, + 922448719, + 941642798, + 525016770, + 829450362, + 738365383, + 780381484, + 15566440, + 622975522, + 131477002, + 363473338, + 907831944, + 923966421, + 175526301, + 665636052, + 642154260, + 536437243, + 653275870, + 102892721, + 668764292, + 625923375, + 17235872, + 990514918, + 700031043, + 507825924, + 166335487, + 389974967, + 754921276, + 15410219, + 384878083, + 167745662, + 320285234, + 999589554, + 648172509, + 187809486, + 321609465, + 948992267, + 389541319, + 545306838, + 300333080, + 797377479, + 437126453, + 579125238, + 630531701, + 34124535, + 44432382, + 326260208, + 513647302, + 64899699, + 205025603, + 96672056, + 168444566, + 336819364, + 949081872, + 25570228, + 609957027, + 916068675, + 551740208, + 388862007, + 754814810, + 331392991, + 210654832, + 374497639, + 269905365, + 646975743, + 428433851, + 408546345, + 774731210, + 457544413, + 415447228, + 900545933, + 417073843, + 395708827, + 908205165, + 298067916, + 605663224, + 862952292, + 319835730, + 29339629, + 372224836, + 84633855, + 712239672, + 460360892, + 594352828, + 580757309, + 820097489, + 785895564, + 593800909, + 759161834, + 970747139, + 74518126, + 59310720, + 844841797, + 457578117, + 978488584, + 445724587, + 687541942, + 779738474, + 552106753, + 872194395, + 427164159, + 132688135, + 551869447, + 518294865, + 515514177, + 712987547, + 268018263, + 693663735, + 857464273, + 290672050, + 827559110, + 867316964, + 433779250, + 729298227, + 925645017, + 280468498, + 748100007, + 34342459, + 876449610, + 620956833, + 739423238, + 296635864, + 318434975, + 153570483, + 321083806, + 818883935, + 385570821, + 444429816, + 230208698, + 107586150, + 360010742, + 121973798, + 407271237, + 33716308, + 741745098, + 25619487, + 286551254, + 562991503, + 265406628, + 940408978, + 285363106, + 196126290, + 881543780, + 639739069, + 619510246, + 973472818, + 562770281, + 230395630, + 649416183, + 787678418, + 943291450, + 181004619, + 702810206, + 883522455, + 429569016, + 256666062, + 116576853, + 510938443, + 955328657, + 609525224, + 633213104, + 962743649, + 884977484, + 949410652, + 299709902, + 607336615, + 677586775, + 571898555, + 802233848, + 556754061, + 660612774, + 164686710, + 72538203, + 15743479, + 898559574, + 70298781, + 820538137, + 806007450, + 464979272, + 11729107, + 76448403, + 938626764, + 602374900, + 206143541, + 116584108, + 934331780, + 385695320, + 586434624, + 302460713, + 707999398, + 126804709, + 739359188, + 599442871, + 598086236, + 913296963, + 481945159, + 91143098, + 764339847, + 997291907, + 387571584, + 623425779, + 15219512, + 95183113, + 859644165, + 615177011, + 963807200, + 218690730, + 651554833, + 120183226, + 152888446, + 394763769, + 497167888, + 260520495, + 459145904, + 203772259, + 164562603, + 986315090, + 216730162, + 410317122, + 406478990, + 692391699, + 184455770, + 566436467, + 404833569, + 100748957, + 302034717, + 402218867, + 417923093, + 660426531, + 236121669, + 574210073, + 607910583, + 604729770, + 915428440, + 756576781, + 109334213, + 202613706, + 284114113, + 120430006, + 547252931, + 808743496, + 524319665, + 472004981, + 862979789, + 793755043, + 929087563, + 839513656, + 600601352, + 53609750, + 48430095, + 154918174, + 305662563, + 543706531, + 260870792, + 938258793, + 945981360, + 175281123, + 967726971, + 571993476, + 903502395, + 320956129, + 188844197, + 705827323, + 970023184, + 329835052, + 609890730, + 67504262, + 203642753, + 226264053, + 229986421, + 732561368, + 981748095, + 788337510, + 547395112, + 290376748, + 515903893, + 146280411, + 215341408, + 214621074, + 705059859, + 182933886, + 209679274, + 248294991, + 395529905, + 294956998, + 638172920, + 276031904, + 398823438, + 936418395, + 385304031, + 468540455, + 430802930, + 814195576, + 101958716, + 351343432, + 661476280, + 574578333, + 669979095, + 201284737, + 853609654, + 218395119, + 187527139, + 503732125, + 776179057, + 710904304, + 954037317, + 462526767, + 9363696, + 562507199, + 565102876, + 523833944, + 426715730, + 263154708, + 124845798, + 317488876, + 386662887, + 445394145, + 194780153, + 471675495, + 950697508, + 95919351, + 104254091, + 964876396, + 675821321, + 734157083, + 237985842, + 481375249, + 107137786, + 813241838, + 154979674, + 67859096, + 414798235, + 151204026, + 148028332, + 474274608, + 525899639, + 387973866, + 486835351, + 132597307, + 529894295, + 858677519, + 374958234, + 94391860, + 722804890, + 6283233, + 81167880, + 914976374, + 508438608, + 405875239, + 547620279, + 302900305, + 60452166, + 707631188, + 209398027, + 80349536, + 16111172, + 814464344, + 694728741, + 239359263, + 431354255, + 954411278, + 637973687, + 695899906, + 448664520, + 333112807, + 32780515, + 614238148, + 611081379, + 919555535, + 768940456, + 860253171, + 948388273, + 379077075, + 31191248, + 677346860, + 796119318, + 291346737, + 11022551, + 126095195, + 668836490, + 707211409, + 897534939, + 374399960, + 929390576, + 764174143, + 150323499, + 620844294, + 671674318, + 780677573, + 443778428, + 663583394, + 77396886, + 928406973, + 179897896, + 550683596, + 560220114, + 424601567, + 83213011, + 412315973, + 355052149, + 330453686, + 903921245, + 981768209, + 766456527, + 853643819, + 584051731, + 535009250, + 652921278, + 400015173, + 304725983, + 435634293, + 760866705, + 613681116, + 503306502, + 102427690, + 395253925, + 752789066, + 434327707, + 993499715, + 545455215, + 908742344, + 805661753, + 758752295, + 194448106, + 44051155, + 614277559, + 308190113, + 361214834, + 289063811, + 423487738, + 327897978, + 93483468, + 101305108, + 781397609, + 36940286, + 53923503, + 993676693, + 977136717, + 493860226, + 186809598, + 958911233, + 865531596, + 963905101, + 403757203, + 789100927, + 650374880, + 341790280, + 143617155, + 958155419, + 944465258, + 833408346, + 614281708, + 280644542, + 428596523, + 215641907, + 393078711, + 274358971, + 843271526, + 263114435, + 580448050, + 888554498, + 69663760, + 224456741, + 378348229, + 400575549, + 175603428, + 407955538, + 994129104, + 894607140, + 534180955, + 693243011, + 323805130, + 593816603, + 999509848, + 458726229, + 78363806, + 871615027, + 238545790, + 566910404, + 164875911, + 847913148, + 155033886, + 890649291, + 420230378, + 273598488, + 136651078, + 403034455, + 457573253, + 625290420, + 369134075, + 118972513, + 88952743, + 292342164, + 11879516, + 274166601, + 873356290, + 558031998, + 515598114, + 356447692, + 122972162, + 158089453, + 528641357, + 637344387, + 452429901, + 932414022, + 100746593, + 868503880, + 733354667, + 630182551, + 727531987, + 474792577, + 992176435, + 509128871, + 472289909, + 180913422, + 954526850, + 40892348, + 643743171, + 890708651, + 518760537, + 305227017, + 519264630, + 157673080, + 376857428, + 172600364, + 756447837, + 57217709, + 301231781, + 342830890, + 917237930, + 731825733, + 998596740, + 460595081, + 742201819, + 638318387, + 852533653, + 420662416, + 857394897, + 689876567, + 134092269, + 62460721, + 659474663, + 695190750, + 954216938, + 275123182, + 267097198, + 78124117, + 963225932, + 666699681, + 127684556, + 441050005, + 93841393, + 931216447, + 680396817, + 177527270, + 786606270, + 381660141, + 601996792, + 950755851, + 722234198, + 506619620, + 925317214, + 601282674, + 262040676, + 65764054, + 871712071, + 154531340, + 611894450, + 33526667, + 165776186, + 608811783, + 768041518, + 652120931, + 216054150, + 502670312, + 844598754, + 719188256, + 734736754, + 214804351, + 318095063, + 339001649, + 668528630, + 437354387, + 374317415, + 280490696, + 8402771, + 583525900, + 142952813, + 497402140, + 550577531, + 97871920, + 402208797, + 256639464, + 51901328, + 688230539, + 38617931, + 450357585, + 381194778, + 175529080, + 602653999, + 477644383, + 681590139, + 47010903, + 491365124, + 351996654, + 752657505, + 563128459, + 51047724, + 409136212, + 365536175, + 778449391, + 519234004, + 383721628, + 745965090, + 733380170, + 855347303, + 219235262, + 457759636, + 506047680, + 261789807, + 452330831, + 590730849, + 570442628, + 292313337, + 271530765, + 852759670, + 541767254, + 46736526, + 3526122, + 941736274, + 215833866, + 428731246, + 400036320, + 307250349, + 444452029, + 599222804, + 200253817, + 401603762, + 614467046, + 591506867, + 693533038, + 845774161, + 944088074, + 603457196, + 273674949, + 578901838, + 128165652, + 504474402, + 55980713, + 555927710, + 812800052, + 674080017, + 724028412, + 36509195, + 504114620, + 641817379, + 944243245, + 832589758, + 844374579, + 843370732, + 841491400, + 414643625, + 786260754, + 416796677, + 786268412, + 927434512, + 913792454, + 749210312, + 800947126, + 926538377, + 519822111, + 108655348, + 194971637, + 596541711, + 355533495, + 11121376, + 72830841, + 779831659, + 491271370, + 884692845, + 701516054, + 805516542, + 28994794, + 951973247, + 656444411, + 93380524, + 657758518, + 41769286, + 582031208, + 139005745, + 114331346, + 357433876, + 674546608, + 180968563, + 977909030, + 468391120, + 790337313, + 564289451, + 77062520, + 824930143, + 330248673, + 61502732, + 125362727, + 577959674, + 917675478, + 200358453, + 374982080, + 72828093, + 887339428, + 801620158, + 417167417, + 94804801, + 451104066, + 932170943, + 857732836, + 932416371, + 881876649, + 874941684, + 119389878, + 19143656, + 798417116, + 112132568, + 73689316, + 433502206, + 603819866, + 172442695, + 382856549, + 530223461, + 991402499, + 151307720, + 962190821, + 579466119, + 954733558, + 143837780, + 384537829, + 783374621, + 722292641, + 353121064, + 596073003, + 21130288, + 667341769, + 635509088, + 375299918, + 208241899, + 507137062, + 729407605, + 777203274, + 953134920, + 732079978, + 103030848, + 264443087, + 345333179, + 205530407, + 639242239, + 75890531, + 923764931, + 357274641, + 962127764, + 785249883, + 589735589, + 77685529, + 900513217, + 401834886, + 782081513, + 550641764, + 347649355, + 63648774, + 42473079, + 753368100, + 506613324, + 272055031, + 368895168, + 826172441, + 768120256, + 958842292, + 331359212, + 686316735, + 26586791, + 907079293, + 114606242, + 40712690, + 62951746, + 499416360, + 75126429, + 878417664, + 335023755, + 911848326, + 682278097, + 982674221, + 232828300, + 12173682, + 256028523, + 513902684, + 461973504, + 82116152, + 643641776, + 251002494, + 421782412, + 95873735, + 318800181, + 752821889, + 437363870, + 439910773, + 90346616, + 562082216, + 283132044, + 89916784, + 599859217, + 719104436, + 953263632, + 36222327, + 870229560, + 368717045, + 699212590, + 779134844, + 728113442, + 769315313, + 502974809, + 593802086, + 198494907, + 775705600, + 563872884, + 639728245, + 683406368, + 990348097, + 751733707, + 798294319, + 504162113, + 415155032, + 836912820, + 999267407, + 11860047, + 677721270, + 689325339, + 420073710, + 124771960, + 60650918, + 193203151, + 190970303, + 262703370, + 215059379, + 483987805, + 562291078, + 532959625, + 154667402, + 280885105, + 776967665, + 896538097, + 917605925, + 957944418, + 92992736, + 499703623, + 483494772, + 517312660, + 801132488, + 830875902, + 163635611, + 409789702, + 640653632, + 811396420, + 206262502, + 969099797, + 706353886, + 263875078, + 374246096, + 131812928, + 484721152, + 202547968, + 579071862, + 311714164, + 388212401, + 341364160, + 23650398, + 227993409, + 661605476, + 881446826, + 138313795, + 889138846, + 644725334, + 762618689, + 76174270, + 581232686, + 866080505, + 669263145, + 1324666, + 86323789, + 580084250, + 114131107, + 882294971, + 372293024, + 813187966, + 824021336, + 172731897, + 882234330, + 836276993, + 315641880, + 783492509, + 193323119, + 192710091, + 983199676, + 855943641, + 37696838, + 724387477, + 247352229, + 775447045, + 980960065, + 103311349, + 101086741, + 435599433, + 860824524, + 723256510, + 578704398, + 289654539, + 740743338, + 766150735, + 486755583, + 230193663, + 203791119, + 909343999, + 115214148, + 301664791, + 857368323, + 335746820, + 358969532, + 731049214, + 203201371, + 355514671, + 725149691, + 657050133, + 122932308, + 242021558, + 373775892, + 961425505, + 880592232, + 927104959, + 902355756, + 965660006, + 594244133, + 727400455, + 790030483, + 399636519, + 722317118, + 111237539, + 639121746, + 543411210, + 245411248, + 4942904, + 647998655, + 610423205, + 341829751, + 449494838, + 681546222, + 15116317, + 553223134, + 132367023, + 311555879, + 509411899, + 958503259, + 387742132, + 897321224, + 775165682, + 451060255, + 389934557, + 219871745, + 249701027, + 878467604, + 588257441, + 899970551, + 237057919, + 583585388, + 595586637, + 145210603, + 757459293, + 575323068, + 83225276, + 685851693, + 547014394, + 169090207, + 158113987, + 998779352, + 72290739, + 496379030, + 864355719, + 505597227, + 380090748, + 313829525, + 276710489, + 582526121, + 965127125, + 79946352, + 283290785, + 836860506, + 365309736, + 712656531, + 720462907, + 291303169, + 48026431, + 762642853, + 638755598, + 430461183, + 404729394, + 597803063, + 570984202, + 925273496, + 46045204, + 781277739, + 904415856, + 86025224, + 11670901, + 102157489, + 353808716, + 273676938, + 669699740, + 472121917, + 629345854, + 617387242, + 116607220, + 203717965, + 864906411, + 342990453, + 956868027, + 873833504, + 729528558, + 712813102, + 521590537, + 227584805, + 585504707, + 165877549, + 652537896, + 435006498, + 275755460, + 821275172, + 690025747, + 217518635, + 459327624, + 269252331, + 813789994, + 218418610, + 760653847, + 694250070, + 702875987, + 763549813, + 39152798, + 585546813, + 807954360, + 193325149, + 533788390, + 814801484, + 407986234, + 421982907, + 550368461, + 43828533, + 83751042, + 410166544, + 633066149, + 289880345, + 335997119, + 742165865, + 591600589, + 896637886, + 550276803, + 303388699, + 106032940, + 514236885, + 741000, + 604237519, + 321496191, + 168434609, + 185162926, + 485181552, + 23617647, + 698588112, + 54253714, + 986407181, + 56165275, + 687762445, + 865152976, + 277525633, + 623160713, + 845331689, + 497797220, + 514872812, + 730478703, + 356838649, + 624497124, + 152525167, + 904212609, + 916125136, + 69771034, + 168790133, + 504739255, + 545088549, + 689680166, + 652433114, + 655983999, + 830846104, + 702709904, + 913054211, + 919371142, + 849633618, + 120627396, + 457753104, + 364998938, + 835239255, + 996591933, + 611546031, + 857010311, + 246198527, + 424943625, + 655288037, + 644419410, + 53488720, + 104836843, + 504564215, + 631471630, + 542612804, + 444472060, + 136403629, + 491460448, + 658721853, + 986070055, + 983949898, + 597379483, + 872244865, + 489779403, + 548894891, + 432610091, + 644821129, + 819087040, + 212376528, + 826271184, + 603654476, + 115019471, + 340607034, + 989244913, + 332234024, + 943449127, + 994740666, + 867950388, + 967129375, + 55314299, + 892981474, + 154214207, + 11463568, + 867004311, + 493614465, + 913739809, + 259281808, + 593379218, + 28509559, + 651684791, + 518785103, + 488338085, + 568714035, + 875196709, + 186039453, + 437109186, + 463072603, + 213459497, + 864866136, + 346778592, + 510437946, + 698609308, + 251733587, + 42812709, + 760842637, + 672766285, + 844205204, + 229507204, + 599175422, + 219536638, + 217345449, + 496521777, + 465432866, + 309977207, + 344462087, + 257622084, + 941517145, + 103725308, + 734046005, + 662868872, + 94089541, + 498074970, + 599737135, + 477638143, + 137328649, + 727590847, + 659588724, + 132045023, + 643770359, + 909457032, + 654043891, + 617327258, + 167893636, + 579195537, + 10691652, + 584781631, + 588668147, + 530848613, + 191327968, + 715904380, + 614335872, + 809847980, + 236506545, + 107284798, + 271829006, + 963386676, + 746107473, + 84896757, + 684731363, + 794085041, + 759028919, + 774948909, + 859737868, + 859205060, + 290990286, + 763695877, + 459887838, + 712667391, + 877411266, + 368902430, + 810969208, + 33103615, + 408322565, + 417830264, + 699545402, + 116131757, + 85573496, + 257315905, + 100684833, + 731637438, + 455593208, + 387355876, + 879262786, + 141981784, + 196692756, + 984957351, + 138195184, + 580972917, + 42659366, + 498673329, + 513074158, + 224380357, + 101252167, + 258107032, + 273903345, + 138425785, + 452374425, + 568057057, + 203156788, + 22307072, + 36863752, + 160164783, + 113116010, + 294182565, + 420394520, + 497074044, + 820893932, + 589865405, + 308510439, + 607037209, + 163550500, + 547699370, + 525331274, + 746596083, + 290758568, + 600885994, + 885404701, + 967846749, + 757686659, + 681404931, + 721960121, + 148255659, + 921983383, + 986662720, + 418991541, + 891982381, + 299495534, + 252486659, + 767031125, + 82177577, + 176788952, + 228718162, + 860458684, + 408282963, + 463396357, + 576681349, + 758768101, + 380002407, + 880473303, + 188974776, + 427594852, + 54651603, + 188363690, + 884404092, + 888691394, + 884855296, + 88377493, + 569623669, + 147487508, + 652371899, + 477640239, + 218994763, + 900722460, + 308463869, + 619848495, + 887742107, + 49430541, + 237916230, + 144524521, + 155321613, + 848896400, + 643731533, + 276631978, + 377136194, + 338516979, + 44782683, + 59551720, + 22059063, + 11417117, + 568287128, + 365510514, + 492781724, + 890960618, + 291204431, + 264500704, + 44796355, + 612988664, + 649894723, + 266429432, + 930410395, + 648366574, + 332149948, + 672702468, + 414226126, + 416546410, + 100174965, + 640614963, + 679059635, + 831229691, + 91318813, + 124795674, + 147493545, + 715838549, + 414436248, + 827880429, + 244903351, + 179062113, + 543748725, + 61368530, + 613691224, + 600688765, + 814433781, + 591303154, + 589357245, + 174399789, + 741087890, + 781607323, + 926959056, + 185722169, + 401635318, + 620399877, + 269209259, + 365840486, + 446785275, + 710003014, + 960880742, + 331611378, + 136835597, + 226822348, + 702857273, + 54918201, + 603734958, + 487211313, + 558458664, + 942962874, + 208669945, + 872458532, + 582585513, + 198486654, + 794821080, + 443706185, + 308022316, + 62874883, + 496708371, + 707407335, + 286558131, + 892833823, + 741090574, + 48766459, + 148905351, + 459387068, + 747950176, + 593002195, + 164451411, + 868360538, + 953808913, + 136345247, + 954067342, + 306546891, + 103396710, + 675239335, + 235027438, + 295474443, + 522598855, + 321444862, + 658887558, + 535420894, + 261440519, + 181136431, + 715042432, + 827000337, + 274656634, + 944852299, + 106944309, + 850578292, + 753972383, + 876727356, + 194638349, + 433433428, + 725143282, + 500186622, + 32008858, + 472126443, + 908041509, + 696882483, + 348196647, + 57415631, + 830056181, + 915594092, + 971963923, + 496780280, + 879987140, + 51195141, + 171194056, + 936838190, + 495283579, + 527075414, + 954150524, + 692886554, + 996501084, + 704287156, + 210295922, + 828761003, + 384231296, + 282845331, + 285457086, + 109520499, + 38511264, + 153700676, + 57970481, + 543760032, + 38431498, + 916529700, + 443972221, + 698730293, + 830156018, + 315498345, + 808117606, + 922284120, + 304771371, + 459897213, + 70984710, + 184728616, + 10228356, + 37157839, + 112706015, + 483268013, + 291665557, + 393474139, + 655926617, + 115962472, + 517021692, + 739419744, + 41465045, + 899653124, + 697028159, + 960901846, + 457655354, + 660749561, + 119191490, + 591962542, + 158620584, + 369936259, + 72850582, + 211770581, + 46388055, + 566385223, + 950796385, + 772219010, + 500948779, + 369092085, + 436001983, + 840986407, + 408691860, + 981125374, + 418408985, + 163971902, + 688560997, + 925582038, + 183454932, + 399957002, + 375150239, + 399624638, + 373392627, + 640263578, + 825277396, + 16054354, + 228315716, + 687325047, + 866326612, + 198071754, + 257593554, + 680076376, + 424479921, + 615979637, + 40691332, + 223048730, + 267236346, + 912684453, + 357107196, + 251264265, + 184787957, + 116699880, + 297429752, + 80644218, + 349605765, + 466946975, + 162614080, + 765983625, + 144798283, + 621402039, + 139143498, + 61640338, + 299452707, + 947239294, + 153112370, + 951084603, + 252341642, + 9256144, + 5363779, + 982550865, + 597581359, + 967283876, + 890877554, + 697179344, + 843193203, + 207665948, + 764300323, + 849739076, + 760520068, + 299767068, + 329258394, + 490910741, + 947232175, + 749670398, + 414260201, + 447269635, + 384071473, + 198344721, + 457533806, + 367621769, + 76813418, + 932664353, + 183544970, + 484888238, + 717742795, + 12363692, + 95203969, + 457541127, + 786197880, + 55096675, + 511837946, + 950402891, + 764416409, + 939488939, + 783600437, + 36863071, + 770809938, + 206857269, + 145838751, + 998236392, + 179572012, + 31377073, + 633152837, + 796909245, + 442637029, + 551047345, + 695245511, + 962759979, + 344088121, + 273989884, + 83482427, + 172445160, + 996751338, + 848001052, + 677851105, + 133077309, + 606828062, + 951615373, + 374784151, + 34263917, + 24001323, + 536306379, + 800709041, + 541045274, + 819571038, + 492339749, + 199821325, + 686077938, + 372067950, + 688598769, + 618945936, + 881882647, + 602682617, + 136293800, + 897920575, + 105352081, + 98388145, + 720875509, + 170803946, + 908966878, + 881000269, + 873510117, + 241520735, + 824215315, + 128607399, + 7328897, + 869085043, + 537136169, + 388904416, + 365561659, + 187471024, + 247702166, + 384412518, + 467967661, + 201322007, + 914340918, + 39485020, + 504049779, + 36338550, + 930843788, + 296604556, + 29102342, + 331940126, + 273597875, + 909741412, + 366274775, + 407747767, + 59921482, + 812656938, + 233090663, + 199568068, + 650922184, + 508017943, + 452059161, + 135479816, + 463573106, + 814317210, + 811024958, + 595072358, + 601544086, + 138171329, + 198688730, + 969062974, + 578494166, + 954128020, + 956380917, + 890500789, + 17961335, + 458453453, + 98762315, + 949598717, + 26464658, + 797161262, + 870066732, + 502845543, + 983025902, + 49799171, + 724108195, + 730394506, + 761752756, + 278091107, + 955639156, + 269440808, + 646829544, + 783707526, + 438096453, + 554399815, + 313713944, + 249442422, + 5875001, + 403361200, + 744454165, + 94950522, + 671063371, + 59416481, + 353992202, + 346886243, + 872913344, + 851921857, + 725274791, + 907008788, + 847312803, + 267778449, + 889269255, + 605780001, + 112589874, + 889957533, + 58696463, + 296169882, + 902577312, + 963848818, + 650796079, + 86752935, + 773397549, + 192512408, + 275922211, + 106272291, + 984163166, + 238344217, + 325875518, + 618422164, + 926535852, + 75339954, + 28026045, + 188773680, + 222912981, + 888003171, + 30218660, + 709373213, + 257371274, + 956838066, + 124135810, + 749158049, + 334947817, + 682420113, + 736980145, + 866424571, + 802482438, + 955753912, + 903762957, + 688702108, + 990045998, + 838149313, + 475317011, + 855384076, + 424876854, + 705039228, + 205102928, + 682506479, + 712972337, + 553785874, + 996820573, + 235289221, + 378645217, + 250940883, + 399635808, + 323421299, + 441279243, + 993609738, + 847127772, + 264914189, + 571461192, + 968962449, + 890836679, + 473281102, + 690131248, + 527428776, + 212296459, + 881000475, + 743153208, + 940788300, + 401440071, + 797245299, + 25892000, + 671009057, + 223776151, + 810672109, + 647569985, + 341837708, + 66369105, + 241384482, + 770241753, + 962057038, + 429073655, + 586033020, + 641518709, + 187349297, + 498045289, + 799077624, + 335151242, + 348793284, + 476985267, + 731057990, + 925248003, + 203948978, + 880754920, + 18211685, + 527036867, + 83509930, + 154841882, + 899257668, + 934332126, + 966161573, + 658932734, + 336405341, + 625522751, + 400965072, + 635102902, + 981038382, + 112438657, + 183658835, + 350373066, + 854175534, + 928050500, + 220216765, + 345756417, + 213596285, + 694104845, + 712984122, + 177769596, + 101378097, + 755259014, + 170232172, + 33010391, + 445731474, + 682313753, + 210792749, + 928219640, + 161804515, + 457070794, + 243940709, + 999422485, + 62357675, + 677305767, + 799566305, + 256366758, + 718561800, + 522447283, + 892431174, + 752779620, + 839630734, + 674473247, + 821141736, + 445696039, + 482277838, + 556548765, + 547963877, + 919917278, + 843892034, + 68000371, + 98039503, + 788502953, + 652469514, + 290428525, + 79920572, + 152777653, + 124202543, + 647448126, + 293476546, + 58790877, + 826287245, + 97612527, + 421205260, + 89247945, + 303822970, + 943397257, + 997205025, + 783408089, + 497937870, + 156406501, + 976012931, + 41883256, + 923680944, + 726879100, + 135907818, + 648462178, + 19614846, + 263271018, + 213150468, + 758254971, + 730564433, + 331021598, + 792387378, + 480776255, + 805791403, + 4147998, + 863456112, + 565002724, + 64224915, + 273736960, + 189435554, + 450840036, + 713361719, + 752310638, + 165416133, + 735091636, + 302702511, + 786327632, + 539024188, + 457886859, + 360097980, + 699510643, + 365842122, + 839542393, + 302392290, + 207008214, + 654995679, + 347838400, + 45513521, + 118570262, + 565915016, + 80321779, + 896314320, + 947603528, + 550372470, + 967487582, + 663764309, + 340550734, + 457350875, + 283962262, + 836242737, + 899452089, + 883792457, + 375476994, + 520154675, + 309461717, + 24695042, + 805151601, + 744420282, + 560860255, + 958235923, + 319950784, + 4370193, + 330861832, + 43669714, + 966847495, + 986196204, + 962607216, + 574118904, + 131065891, + 806912120, + 288497184, + 342711042, + 887158421, + 630123214, + 521313688, + 105636722, + 2655171, + 447884461, + 715874520, + 287760155, + 584477795, + 139499764, + 821503500, + 913451682, + 437232054, + 919748915, + 438077464, + 328464159, + 950269223, + 604842971, + 219119524, + 677563304, + 267585330, + 130894815, + 447246374, + 35188383, + 579934949, + 575501066, + 754879699, + 408057314, + 582495362, + 99890820, + 369111510, + 353840634, + 520159517, + 996319034, + 330200363, + 505910364, + 490358340, + 98573330, + 746774513, + 976089548, + 326261148, + 211606290, + 301974681, + 32453376, + 187628855, + 706220154, + 266456704, + 771025575, + 767156255, + 131509619, + 133099766, + 36694657, + 143759499, + 72916699, + 260778307, + 677234543, + 616996725, + 511017898, + 91795485, + 841354865, + 101665934, + 716505498, + 116654216, + 52955875, + 737284050, + 814413935, + 486575248, + 9225306, + 377908004, + 506155221, + 173173061, + 718908532, + 111904304, + 654951314, + 326477433, + 487309868, + 287417449, + 198145797, + 45566920, + 218344393, + 594358997, + 876710482, + 511420617, + 954631763, + 29166989, + 850492719, + 423527165, + 498115909, + 225975364, + 393018627, + 414532528, + 676434769, + 906265432, + 815693708, + 46597158, + 881720419, + 301463197, + 433345913, + 332610144, + 559850456, + 156461569, + 12364193, + 722681750, + 596073144, + 491980362, + 400314950, + 791799445, + 881639712, + 144914710, + 87980605, + 679558406, + 382980567, + 51603628, + 704923440, + 936828833, + 319327707, + 988402311, + 336575481, + 817964043, + 484540266, + 588690096, + 203040295, + 86302114, + 901868979, + 715704755, + 535573880, + 565327555, + 944550021, + 675048032, + 830134317, + 929201513, + 107313110, + 845175834, + 693359038, + 831439917, + 245571616, + 458515901, + 776932486, + 923331647, + 809801747, + 148157887, + 309997250, + 743596641, + 890587055, + 785609264, + 822928229, + 802216009, + 771666979, + 807336347, + 680293660, + 394111599, + 979158359, + 929587947, + 747251656, + 338936103, + 931886508, + 238626038, + 710454406, + 181847399, + 307705614, + 765709447, + 281852735, + 485390733, + 55271567, + 445314599, + 926240899, + 746405811, + 568999617, + 276280178, + 894251877, + 972011301, + 995999422, + 744453707, + 136487775, + 348528870, + 952148338, + 265626889, + 600721204, + 63965895, + 547567387, + 141707828, + 925880695, + 149632675, + 957257134, + 442855224, + 16447293, + 1012486, + 925520772, + 615924640, + 274750649, + 176715892, + 713624269, + 946377145, + 312371273, + 149006194, + 322432733, + 649099672, + 700606494, + 359837420, + 626242082, + 962897007, + 77221009, + 242672328, + 308460184, + 550656049, + 733454960, + 687614371, + 471679182, + 155730734, + 526123019, + 167330397, + 496370944, + 385114149, + 583451367, + 566123946, + 765616622, + 625192242, + 170722215, + 566506152, + 27656839, + 420519921, + 822770969, + 203591839, + 385178148, + 31031511, + 395592333, + 299559057, + 399287312, + 64907625, + 188324304, + 539492040, + 771584479, + 205842279, + 191054617, + 709549916, + 808014420, + 778809154, + 645115392, + 805745505, + 20498154, + 923634785, + 186611421, + 688362263, + 620067806, + 685896917, + 405011648, + 760372680, + 799720770, + 877636012, + 404230945, + 327663549, + 675135255, + 982073326, + 536765066, + 118344189, + 197461494, + 646990416, + 123959371, + 79407616, + 703044508, + 559255963, + 547391222, + 176414949, + 748131916, + 419779476, + 55241075, + 114522351, + 63169617, + 225702573, + 829262729, + 57812417, + 987729207, + 671635717, + 543152592, + 471377320, + 854427222, + 844195203, + 803553350, + 834449193, + 257710068, + 495310482, + 150154245, + 804767582, + 894590612, + 302024537, + 542022378, + 881232818, + 153927464, + 831522290, + 629504277, + 777577052, + 586819313, + 800500688, + 310613952, + 285434120, + 322352221, + 659437239, + 312283533, + 74111071, + 101577379, + 165657841, + 365909806, + 850205639, + 815014067, + 32749396, + 407814276, + 820957496, + 714794593, + 667682930, + 195066389, + 49183169, + 575931182, + 277368613, + 927261022, + 99554512, + 824188652, + 804066039, + 629022409, + 777274462, + 609370460, + 314672508, + 382293768, + 641968462, + 855704489, + 845958760, + 486783107, + 261072940, + 383242908, + 667431563, + 687205682, + 623897420, + 397771480, + 633160544, + 210814186, + 639679568, + 344980745, + 650612714, + 380594087, + 83191867, + 524526447, + 892456242, + 691605294, + 657434012, + 226656536, + 265859394, + 743384154, + 789521566, + 342064142, + 984342519, + 181939781, + 566268652, + 24851836, + 950682048, + 627323616, + 380522292, + 89355887, + 959947357, + 372772991, + 848607859, + 79388386, + 378993121, + 262566860, + 581817379, + 133746910, + 473050738, + 368229370, + 218813564, + 885729487, + 409589929, + 579410253, + 507875756, + 448072226, + 392139462, + 111479524, + 107377107, + 589529402, + 257198334, + 817061131, + 311255115, + 274780460, + 145040133, + 998166310, + 607028316, + 582180129, + 441308942, + 102938014, + 247731102, + 853945771, + 298227442, + 221264617, + 511752174, + 766543916, + 50499969, + 165772526, + 384219624, + 115829091, + 2367421, + 311011379, + 472805209, + 561281389, + 474171987, + 748418254, + 28335805, + 136455944, + 702837490, + 332639635, + 383908050, + 855068671, + 352844135, + 535891421, + 562272017, + 770537657, + 404906905, + 244769737, + 303337422, + 511037117, + 93527889, + 415022741, + 794877517, + 679957810, + 424438605, + 320701136, + 94298694, + 166317979, + 174593, + 389544816, + 307592242, + 239802673, + 266491468, + 115991046, + 895449873, + 350083675, + 70291856, + 265955930, + 424096749, + 257592064, + 456360793, + 684307654, + 991028140, + 351972866, + 458307761, + 782666670, + 265645204, + 156066507, + 23868504, + 853497616, + 22277401, + 265352303, + 532489728, + 842814903, + 291253772, + 876669091, + 961336801, + 552523548, + 97451596, + 847767697, + 313408264, + 546622186, + 288930722, + 678242749, + 14715369, + 603212967, + 281694459, + 962390248, + 516800226, + 335841047, + 124004008, + 202794648, + 260290609, + 492978206, + 566058267, + 93390045, + 822338887, + 608136009, + 556739265, + 658400649, + 516167877, + 625693403, + 858689197, + 948956101, + 103606966, + 442631603, + 599235113, + 821452389, + 489106798, + 587224174, + 208161660, + 660159015, + 792635278, + 629279545, + 50108619, + 251405775, + 218803989, + 642134028, + 531643663, + 803782501, + 126116728, + 674571683, + 542427750, + 953196139, + 569450726, + 945241715, + 924221720, + 494771469, + 448635326, + 949470686, + 688917131, + 379596859, + 574429623, + 654497424, + 713697258, + 275009290, + 989527747, + 346253453, + 905547881, + 5328474, + 350699177, + 27455170, + 164384294, + 611007739, + 255539035, + 82610485, + 352191779, + 520221923, + 166323663, + 584103542, + 391559100, + 606355616, + 874384028, + 520595192, + 136510305, + 575669013, + 121931018, + 320268548, + 717590146, + 887668689, + 790321793, + 321318078, + 264499229, + 343358706, + 485899112, + 464062975, + 553556753, + 87398585, + 508931938, + 148674359, + 392140704, + 649563745, + 311852860, + 486518897, + 665997808, + 869675394, + 418139858, + 772482595, + 227760986, + 522808311, + 469733987, + 362412726, + 639895434, + 580947112, + 853456300, + 401366332, + 217909416, + 397304907, + 194218515, + 227275450, + 959184033, + 42692381, + 223239278, + 51074202, + 820382348, + 144304974, + 424949994, + 333102520, + 977514706, + 242413955, + 45922446, + 793686541, + 809616010, + 736350201, + 94882249, + 907619930, + 18000221, + 823814338, + 768347536, + 448380996, + 684827590, + 744682623, + 519354778, + 612366425, + 207375437, + 867384610, + 355762829, + 955028745, + 242280132, + 421739389, + 111930569, + 61578250, + 692623722, + 176819069, + 421864372, + 656829903, + 907963139, + 434635513, + 648142759, + 233755860, + 711255407, + 556000186, + 312114340, + 696497583, + 525604982, + 583211195, + 305270208, + 924006671, + 802073061, + 385907806, + 232882645, + 507620552, + 742376418, + 491133034, + 979290930, + 684667940, + 845526429, + 174114750, + 875995657, + 694252185, + 507814305, + 392505782, + 309918901, + 138217640, + 143915156, + 714178550, + 910922611, + 72681514, + 543728367, + 858805609, + 901069307, + 421235914, + 347684762, + 11326293, + 638713344, + 710891495, + 866878958, + 949757627, + 828463297, + 113326110, + 237854690, + 40645808, + 581456260, + 182621670, + 868910465, + 892934075, + 485407748, + 661436725, + 657885281, + 230659343, + 439634489, + 287298576, + 529481175, + 336648287, + 880156439, + 567987037, + 639159217, + 924252316, + 71372731, + 512096368, + 125124149, + 192388811, + 770682452, + 333730594, + 131779816, + 248590847, + 220932961, + 817238918, + 9112328, + 665310274, + 21894608, + 945469452, + 406772486, + 558859579, + 584693790, + 453283447, + 960593469, + 386002234, + 782677814, + 567303967, + 418504810, + 253988569, + 760607100, + 957424428, + 115498050, + 800415877, + 97065195, + 91063595, + 922688448, + 599369805, + 632179925, + 938073734, + 24934265, + 347256350, + 935712743, + 8892311, + 428918144, + 781329861, + 193466861, + 399056844, + 329353385, + 442521379, + 402003438, + 321254447, + 250407839, + 317490634, + 156271654, + 52540908, + 746767154, + 988158222, + 952822414, + 391446051, + 364744932, + 891163783, + 916575741, + 137590607, + 322304420, + 429546370, + 868171115, + 848724281, + 350917578, + 27187418, + 638712021, + 274537567, + 198954824, + 544242543, + 471665800, + 108113253, + 468410363, + 223915439, + 544651337, + 27566092, + 884705913, + 824399386, + 952793361, + 166727744, + 272460793, + 176216274, + 260702129, + 541630648, + 257763599, + 379569049, + 740745560, + 537642830, + 601710073, + 993889590, + 232243982, + 577904117, + 477009042, + 343034145, + 188106603, + 860151377, + 65969627, + 706097285, + 933103743, + 409696314, + 862653049, + 745287317, + 564705448, + 49919969, + 918651739, + 684984753, + 371448031, + 282351455, + 648622124, + 971513679, + 776167169, + 374782771, + 304061260, + 203620868, + 960948075, + 413714610, + 487424637, + 354915955, + 408170403, + 114535677, + 83399390, + 87837462, + 315024123, + 741381059, + 652355331, + 300857269, + 511742102, + 245333041, + 874780354, + 358883510, + 421558622, + 154921053, + 909647103, + 379251750, + 112948350, + 275332583, + 20261495, + 648315402, + 475794599, + 72172620, + 559996483, + 267803103, + 772042821, + 503791142, + 137152032, + 808331643, + 383253068, + 329702180, + 621861527, + 865335763, + 452284975, + 94654169, + 618503811, + 600539069, + 55019338, + 9199585, + 136976437, + 890106114, + 310509021, + 469679665, + 159245851, + 16694420, + 629914913, + 814948333, + 971679887, + 156800207, + 76389826, + 837415856, + 673454053, + 257647030, + 348447079, + 998546970, + 410983318, + 824166951, + 633453973, + 134189369, + 25951043, + 119926895, + 506605979, + 303809204, + 319210862, + 731961940, + 77263495, + 515734132, + 379863116, + 725039007, + 677975235, + 375872688, + 277141929, + 487024445, + 807825025, + 938283193, + 522931358, + 166873324, + 931124172, + 384959464, + 539283199, + 21130792, + 939075793, + 162083306, + 880348607, + 702969219, + 652259334, + 433844700, + 97877026, + 845383503, + 951601084, + 532447415, + 15701709, + 102865367, + 252512806, + 507659276, + 882532886, + 204035579, + 77223968, + 85262455, + 63685061, + 476154358, + 470234898, + 493304517, + 807253609, + 556241519, + 967245257, + 737680086, + 721755254, + 564136978, + 142648193, + 570282230, + 258185363, + 259599759, + 72808483, + 769946502, + 82164097, + 842899924, + 842779106, + 772796744, + 118151770, + 603686263, + 252483591, + 573041396, + 161608137, + 891061865, + 12148980, + 3132992, + 140153934, + 676340648, + 505103390, + 713865228, + 996057486, + 964902015, + 634694077, + 645916121, + 216463960, + 998578644, + 830907424, + 484646154, + 155650075, + 149797316, + 636027012, + 628214476, + 994922679, + 943055928, + 99032617, + 741244721, + 19112929, + 401899545, + 769559701, + 570681216, + 814791755, + 418221227, + 991632177, + 711745191, + 907463145, + 814784181, + 124718019, + 359305435, + 464489813, + 355724391, + 949943664, + 610441245, + 673124619, + 169463948, + 332533738, + 105590575, + 448351410, + 378839252, + 428155041, + 506876306, + 141115645, + 327541578, + 574136045, + 856172002, + 920387330, + 39637288, + 516386315, + 721213185, + 652253501, + 949557497, + 840886450, + 988613749, + 771684756, + 607942710, + 667222148, + 651859707, + 604403750, + 948037901, + 947439121, + 702719523, + 805211212, + 469431128, + 774465653, + 431494590, + 448654297, + 257236322, + 184014875, + 861699969, + 966924629, + 515256098, + 842143360, + 10979407, + 147869792, + 266213963, + 296984948, + 830910586, + 905008730, + 679172113, + 382214135, + 364138373, + 220335412, + 772447657, + 542742972, + 460522524, + 624460256, + 224746692, + 175879881, + 722951998, + 59430356, + 471760728, + 616405508, + 657872798, + 713757023, + 416050428, + 178772039, + 452996443, + 396761309, + 624754636, + 506835889, + 198718057, + 59568812, + 180825111, + 281811274, + 512099533, + 683569413, + 132667282, + 26694933, + 206067911, + 633028265, + 975555803, + 664834465, + 859592919, + 2092919, + 988377135, + 337358698, + 490732997, + 323898306, + 282909677, + 781941410, + 560493898, + 984775412, + 244760483, + 16950638, + 249460451, + 231669105, + 665975801, + 49711181, + 648215497, + 995118057, + 106405882, + 80192668, + 442706891, + 38913491, + 657343114, + 748576883, + 317354035, + 332293273, + 40919614, + 962218937, + 160003371, + 365499399, + 546276713, + 784804772, + 879203035, + 666009196, + 383036546, + 148085161, + 498580742, + 408158912, + 100542125, + 919615166, + 699074192, + 335238095, + 938571496, + 954245333, + 16797974, + 672948892, + 566360057, + 966243698, + 231397941, + 6841622, + 307927711, + 526622671, + 108107125, + 561470341, + 827664373, + 43745898, + 910488158, + 517183776, + 352309669, + 524712287, + 131894282, + 891368910, + 797843497, + 500722744, + 475223692, + 385622953, + 113373146, + 544758096, + 89449256, + 580124250, + 903211032, + 336761014, + 925988394, + 632132359, + 920786780, + 781487612, + 695940963, + 283055038, + 274613142, + 819434512, + 679286066, + 161014099, + 869344106, + 980391205, + 565688282, + 763566690, + 552714879, + 285772718, + 980667010, + 681682390, + 980403014, + 201873071, + 156527312, + 485843912, + 474032276, + 534755443, + 982246948, + 688358366, + 653158331, + 951310587, + 824437726, + 339752512, + 197481138, + 571238134, + 831793252, + 920368751, + 464088550, + 10044520, + 575646634, + 458562328, + 2463168, + 922642254, + 53118944, + 569780729, + 226505881, + 273242521, + 3747953, + 488261998, + 332244300, + 923643392, + 963781658, + 35064071, + 409295007, + 737810338, + 102829021, + 477804603, + 468587202, + 94162050, + 897494305, + 483586061, + 666918802, + 774970022, + 643861862, + 908763928, + 78940338, + 147459273, + 310421260, + 781988236, + 811372016, + 221428736, + 453275640, + 354544005, + 942270834, + 767647119, + 672599557, + 740840205, + 771038670, + 760401275, + 519097686, + 757511930, + 355120760, + 169456949, + 693602823, + 230484995, + 412436124, + 581745292, + 157234485, + 717038671, + 204482390, + 54310059, + 295898021, + 23542459, + 854638491, + 256245636, + 710810834, + 24062096, + 38406881, + 572598651, + 315411401, + 326035697, + 433413938, + 6934338, + 258213164, + 319822325, + 805776355, + 469702886, + 183621607, + 588613059, + 22872772, + 973202594, + 426259034, + 249416213, + 598104853, + 811778909, + 752053666, + 874860909, + 995191255, + 717223639, + 74003888, + 191646178, + 649017213, + 147743350, + 712568738, + 102755377, + 89297589, + 748701590, + 78485848, + 268012485, + 427136352, + 10768067, + 130858380, + 70575757, + 12759554, + 676485131, + 528920732, + 546619471, + 647035637, + 73009510, + 430623900, + 440901304, + 563840660, + 263105867, + 762366571, + 372282300, + 744282613, + 614712730, + 627970641, + 144974754, + 915829522, + 708251194, + 296966673, + 99682665, + 559879529, + 900728319, + 665495880, + 679216189, + 132753726, + 596146911, + 302519734, + 129133811, + 208336943, + 545696878, + 334708524, + 982427984, + 326869079, + 434592937, + 458486353, + 395707077, + 238885676, + 375230382, + 974502180, + 387226914, + 631420781, + 641489697, + 207986154, + 891528722, + 228929079, + 481455946, + 946817086, + 861215048, + 889110188, + 657470669, + 653865456, + 895804587, + 981930787, + 326255366, + 28509411, + 921887237, + 187498572, + 453926427, + 235801906, + 430316652, + 410661488, + 443048691, + 156257064, + 558192262, + 326669244, + 32006769, + 758405829, + 867047520, + 698148327, + 350024993, + 395065382, + 420696878, + 90262026, + 754398689, + 316388702, + 241681320, + 606340730, + 30563290, + 121030958, + 385443014, + 76722806, + 550854881, + 357772907, + 787539405, + 930114797, + 74235013, + 53828148, + 982292997, + 904269365, + 414214512, + 606592673, + 897700268, + 618921090, + 302979222, + 93922354, + 738106922, + 790387865, + 948623582, + 267362248, + 583310450, + 770022364, + 787796485, + 235283489, + 693130416, + 738982517, + 660944922, + 328974591, + 71121356, + 322403720, + 884364535, + 63433428, + 800819319, + 504665681, + 210672182, + 450478704, + 60958641, + 885611293, + 149546624, + 775730397, + 729602160, + 782174638, + 640673740, + 920798543, + 773104281, + 658041104, + 516131797, + 145395563, + 534300267, + 91876666, + 70740999, + 65624868, + 208205280, + 584970717, + 916520998, + 432502864, + 443120508, + 227465431, + 704409253, + 602984463, + 891944368, + 862988358, + 170540466, + 969861920, + 482270336, + 791079692, + 577119380, + 908918704, + 32082250, + 641875440, + 163527046, + 679966980, + 11763937, + 640754868, + 8258014, + 498129533, + 939304914, + 420778900, + 204482935, + 361760433, + 915698657, + 447110693, + 90005292, + 151049943, + 435081578, + 834868844, + 873093574, + 288936286, + 712945673, + 348642412, + 875713234, + 99614747, + 232462595, + 524682314, + 562103172, + 876989413, + 483269550, + 999609699, + 169830031, + 713117376, + 965697637, + 20239571, + 225758166, + 903535883, + 374079828, + 253771625, + 868818423, + 541339087, + 46942653, + 409357230, + 511376734, + 691245812, + 464279741, + 514069645, + 118678563, + 158598711, + 805950994, + 139679048, + 760245860, + 444183, + 821571781, + 219788733, + 775170490, + 147018538, + 456500815, + 781400660, + 278765722, + 242784448, + 529240759, + 459762610, + 87328849, + 679979825, + 106538133, + 542046588, + 74758521, + 82653175, + 154020037, + 814313796, + 885728863, + 134250889, + 400707306, + 69012541, + 740725445, + 787215384, + 324255418, + 831269772, + 350551019, + 477333973, + 976371196, + 231444016, + 665401895, + 424003476, + 73778677, + 958532511, + 623713776, + 282379763, + 488844712, + 276865665, + 828406296, + 506177294, + 394668715, + 451148759, + 794754040, + 204641626, + 683690922, + 890962714, + 744664964, + 428532173, + 615962344, + 872583214, + 182244238, + 644692567, + 504545728, + 287676979, + 463729129, + 620048412, + 692410111, + 447092074, + 931046600, + 505715250, + 41907491, + 563274602, + 845146003, + 628171043, + 328578123, + 864180832, + 618099785, + 730264251, + 814607000, + 165853774, + 185436173, + 609533906, + 692707255, + 270736675, + 29019359, + 435497882, + 655967911, + 710672006, + 616077275, + 220730677, + 377535116, + 267627227, + 611374490, + 474087001, + 790284767, + 845225066, + 923038372, + 829463259, + 204426960, + 351569485, + 947564201, + 501920111, + 961835301, + 985051472, + 580124237, + 711637807, + 843961731, + 113936248, + 933526727, + 784190617, + 905871788, + 693592011, + 941243778, + 837510101, + 844216780, + 706794313, + 920401188, + 889083302, + 64026971, + 161670171, + 601006344, + 310648226, + 260226635, + 946882589, + 520040788, + 265202141, + 464470970, + 123445432, + 94596385, + 473632843, + 198772038, + 821681351, + 226512127, + 54151318, + 650840644, + 319756097, + 681926872, + 238441518, + 461600469, + 670269757, + 964985891, + 91173576, + 19815433, + 134526539, + 916019356, + 791709371, + 911131257, + 852095026, + 432154215, + 18795776, + 36765767, + 903941066, + 230782634, + 14485278, + 685462709, + 413231623, + 157360440, + 904202745, + 185339885, + 300384331, + 178325625, + 704937606, + 306416028, + 646681345, + 712835004, + 917761156, + 360832415, + 361813304, + 332146855, + 227320892, + 987308335, + 176353816, + 841033537, + 202971603, + 33988533, + 153988220, + 742770943, + 987901658, + 512476690, + 762345161, + 517741626, + 402708342, + 327408797, + 840568507, + 935057889, + 723913172, + 665137809, + 296724441, + 711676104, + 534899259, + 245269356, + 20466150, + 837188529, + 101027265, + 787885177, + 223006481, + 959673520, + 738606173, + 206608367, + 855973134, + 204024839, + 449220299, + 249312034, + 984953386, + 194468865, + 605319418, + 652639866, + 705031148, + 436366908, + 939401348, + 976133584, + 499780581, + 325993926, + 302626630, + 508915681, + 730245254, + 10855096, + 117564498, + 358028272, + 65706377, + 733195896, + 813052643, + 179023695, + 244898547, + 510371782, + 133176351, + 646003779, + 383461411, + 477177968, + 78971816, + 198720150, + 723935961, + 256004754, + 464702135, + 612381065, + 877696164, + 224273695, + 259840265, + 789471016, + 802730620, + 304231569, + 206873051, + 428027609, + 539339670, + 532659459, + 200447979, + 163913108, + 95999872, + 880665755, + 335611471, + 556822603, + 943446432, + 845876775, + 410743986, + 277799891, + 673275401, + 353006731, + 128073372, + 571214183, + 296219002, + 267368169, + 651799078, + 760948274, + 29918579, + 117789741, + 349610255, + 918851194, + 116903705, + 920063679, + 69430973, + 882052704, + 204207097, + 672257556, + 981661706, + 57883684, + 658150236, + 348021039, + 231074407, + 209496169, + 984693675, + 907514560, + 351813812, + 583020688, + 85715072, + 762339238, + 84021212, + 198036193, + 562143209, + 296317778, + 430470388, + 60097471, + 500004535, + 350546737, + 153843844, + 5162870, + 929602912, + 497762452, + 925812926, + 854868191, + 192153749, + 504747170, + 217711973, + 458172402, + 225778221, + 595407557, + 380260469, + 596617299, + 745432459, + 795486718, + 839075978, + 156300902, + 693333394, + 381997715, + 63374101, + 94279717, + 174366963, + 310625195, + 173889480, + 854767337, + 594229641, + 243882919, + 56748180, + 672541334, + 691896907, + 21508322, + 703407706, + 752606219, + 44475923, + 872870919, + 95680161, + 785717086, + 646556049, + 503372333, + 670494213, + 223624782, + 641547364, + 846116001, + 895362711, + 129198008, + 56494186, + 93321223, + 979766843, + 779811242, + 762698193, + 206205300, + 254698645, + 995826742, + 828901204, + 164014293, + 602798096, + 684485452, + 676241545, + 375566612, + 13741541, + 533461482, + 590781961, + 746192714, + 38570482, + 626886055, + 468401313, + 216253320, + 499658690, + 411173234, + 452885947, + 833255196, + 476103436, + 857759466, + 480324297, + 672518813, + 954279774, + 575508521, + 450234252, + 686310950, + 434630947, + 449604567, + 817410996, + 391036102, + 746577379, + 735404594, + 432329065, + 722353206, + 448231107, + 426881862, + 422013430, + 648170724, + 879372482, + 540423409, + 398686392, + 414654241, + 950490915, + 350800691, + 660528578, + 623052166, + 393852759, + 655815078, + 725383636, + 606891047, + 372821736, + 127095834, + 103745670, + 817693365, + 968030415, + 869044305, + 717288729, + 339611649, + 580584959, + 266309627, + 850433717, + 575832531, + 19909616, + 889215460, + 706783942, + 874382670, + 83631618, + 376455699, + 756829362, + 701685073, + 45860067, + 702544542, + 697943443, + 537133654, + 77559212, + 245625181, + 986532722, + 809868992, + 727421633, + 176925806, + 754086282, + 726594002, + 454140940, + 416974818, + 408023045, + 460772075, + 615198392, + 533361006, + 518140758, + 17144931, + 802365626, + 923449252, + 532920938, + 376298069, + 493486392, + 757683207, + 872120739, + 880557660, + 806614015, + 87577539, + 655270983, + 772832340, + 806752711, + 616473969, + 541966185, + 803674710, + 671260847, + 31806718, + 977599834, + 718115430, + 117741410, + 310634690, + 31260465, + 220794242, + 323699294, + 606299787, + 12451463, + 349642080, + 225627172, + 494224432, + 995920593, + 578570587, + 541325730, + 607006767, + 942873136, + 653777872, + 764898245, + 685301382, + 468595858, + 296465279, + 738742491, + 256866872, + 234632488, + 518772213, + 727059795, + 36048654, + 837263275, + 672234638, + 583537796, + 284538590, + 209736878, + 907655008, + 536930828, + 463796715, + 392898656, + 143286259, + 512161555, + 164505205, + 299654308, + 629099174, + 39025237, + 599162100, + 813765034, + 632109916, + 457490633, + 637688106, + 791386669, + 515111128, + 87091655, + 581644586, + 521555587, + 928281895, + 499276459, + 671372076, + 360940216, + 904319375, + 266275316, + 162491200, + 449754561, + 90386962, + 175878599, + 62532370, + 156718875, + 138869011, + 704796982, + 161565104, + 897513235, + 360018352, + 736621532, + 925648584, + 398970764, + 343034136, + 228124188, + 695975888, + 653920606, + 723928403, + 545179233, + 354943304, + 96899462, + 539161102, + 76774562, + 848155736, + 824009099, + 79042692, + 605125323, + 387670201, + 770161055, + 848359847, + 794200275, + 151035011, + 543079422, + 827583484, + 605813526, + 54926168, + 379125994, + 452726874, + 674643433, + 235799421, + 521388105, + 892991124, + 628571215, + 491215354, + 558070874, + 37488656, + 11434335, + 642178394, + 733636153, + 835571704, + 177179527, + 545295526, + 109193016, + 597510512, + 819786166, + 783729396, + 394110241, + 398122918, + 157315047, + 233351415, + 156759936, + 198591553, + 90696858, + 523593450, + 533590771, + 744433408, + 425612365, + 464613551, + 231680588, + 965910490, + 647234837, + 106042149, + 828299354, + 522111046, + 2469940, + 283653736, + 433036686, + 817726229, + 869896847, + 568112837, + 785459532, + 346845126, + 15397926, + 486446761, + 697112012, + 467822622, + 695222925, + 585246468, + 962983570, + 733453084, + 743365278, + 213458637, + 573508129, + 65616807, + 795717057, + 622252640, + 160650977, + 656256515, + 408703293, + 313392453, + 778351653, + 250667734, + 822549377, + 16530247, + 467378349, + 774888868, + 158360708, + 479412723, + 971818131, + 593703772, + 46291126, + 2558779, + 3228184, + 978471398, + 530339957, + 920829925, + 35017471, + 256630908, + 52704956, + 883690039, + 583368899, + 453523934, + 846408854, + 197217373, + 853452421, + 810141282, + 441347032, + 756168543, + 31154015, + 211944515, + 156415743, + 733046031, + 566943074, + 102320811, + 234990582, + 585471199, + 95836413, + 143442908, + 429799179, + 541590241, + 9669593, + 241286746, + 507735921, + 311941628, + 503881128, + 941084556, + 293879435, + 761661097, + 664112573, + 846038725, + 301889514, + 714610667, + 898731997, + 897206231, + 246280890, + 975055014, + 205101102, + 621911861, + 175845448, + 145828544, + 78377609, + 279771640, + 792452251, + 564075561, + 448884020, + 414466901, + 312765262, + 583203850, + 734998825, + 29477951, + 134146871, + 513988661, + 866806726, + 769587021, + 695975301, + 874303028, + 23668097, + 186419191, + 347309189, + 598347435, + 538736184, + 192090556, + 360378836, + 91337668, + 601013277, + 741518938, + 505414431, + 381489917, + 804808785, + 127411285, + 394917322, + 430194671, + 799681715, + 290507930, + 143013368, + 133732367, + 8181551, + 123280320, + 32820614, + 454525438, + 532904873, + 872354131, + 546122045, + 61803641, + 369154955, + 692841022, + 400483069, + 976854131, + 728122161, + 754083376, + 349250425, + 482583982, + 988201272, + 760387406, + 88113192, + 619484530, + 883445421, + 348770543, + 888627075, + 181550778, + 564271207, + 421721432, + 399162427, + 826214130, + 129036003, + 69710486, + 972277669, + 862450297, + 855630877, + 602973476, + 572368955, + 270146316, + 880407106, + 739145102, + 619815685, + 325005011, + 503950437, + 506447594, + 983446286, + 298549562, + 899168486, + 382286278, + 900748382, + 345708495, + 357798383, + 777728590, + 17108229, + 583820289, + 474900826, + 93968957, + 308974662, + 248902693, + 545398954, + 34478476, + 886520842, + 686565172, + 740473189, + 237073353, + 795289459, + 26960251, + 807461566, + 482631557, + 858100702, + 22324038, + 924198463, + 934759844, + 478106299, + 473122790, + 158057599, + 296891234, + 125952218, + 887875777, + 633403511, + 717867609, + 792215481, + 82940337, + 484384971, + 451417431, + 640020668, + 293157053, + 360099952, + 979271387, + 80279947, + 712171932, + 299883613, + 81220602, + 445998107, + 880634770, + 547820208, + 879656103, + 500428543, + 939192689, + 193106141, + 750026716, + 56125957, + 534500560, + 615359392, + 948553787, + 738719150, + 691833572, + 749926490, + 133969289, + 159939301, + 106604119, + 285729824, + 701872110, + 597122627, + 62325443, + 303301146, + 592718344, + 6744491, + 985816055, + 113618367, + 524537496, + 781468138, + 896823381, + 292838920, + 374419958, + 471555855, + 677886680, + 459131942, + 219778735, + 883291579, + 446899661, + 638798411, + 445158339, + 267090132, + 851736777, + 393093579, + 864275650, + 706520854, + 526803940, + 563112259, + 265327338, + 318871059, + 241461398, + 582044374, + 69015060, + 994804516, + 301278941, + 777151024, + 381024395, + 340263783, + 525235406, + 636680333, + 636886117, + 934518113, + 137186923, + 49900761, + 79317545, + 363070987, + 736017769, + 541669152, + 834549908, + 655634101, + 43689533, + 488556352, + 846661743, + 581610257, + 492440007, + 259656371, + 69687482, + 244222736, + 493752527, + 871115665, + 357508250, + 461142929, + 129731047, + 348124999, + 768318297, + 969663737, + 533803618, + 824244744, + 738672072, + 162024191, + 732465172, + 977647920, + 161270837, + 353385850, + 876252026, + 726037822, + 40391381, + 706436649, + 940593782, + 555213490, + 226617543, + 492787311, + 500362154, + 915133167, + 33728553, + 971822948, + 668278397, + 760978683, + 132768472, + 299903243, + 238323055, + 318478598, + 286745300, + 485430946, + 717954039, + 892421576, + 570264864, + 558757904, + 338452072, + 463029786, + 675810341, + 391340686, + 21656789, + 834333949, + 941586056, + 843434526, + 641223367, + 875950660, + 389079973, + 404152651, + 375326771, + 729484622, + 688349326, + 913192695, + 80685989, + 56765421, + 860292112, + 304016101, + 553108086, + 892240581, + 673239024, + 172609026, + 74033588, + 612904827, + 180467526, + 606685997, + 886978836, + 958757568, + 456054058, + 681436707, + 244410377, + 484070934, + 449349627, + 402286284, + 680104516, + 623921198, + 49763657, + 684860217, + 17865000, + 368019477, + 740884351, + 79585503, + 344869439, + 274375640, + 588836884, + 194688716, + 354825530, + 630903398, + 247498336, + 690326432, + 184849708, + 771651982, + 761705307, + 353227566, + 809911976, + 574097937, + 179178601, + 959062006, + 990206177, + 267717471, + 320646780, + 848047033, + 574950047, + 286567244, + 832678160, + 898742207, + 718194247, + 207440483, + 998583962, + 296380298, + 987324494, + 47726452, + 945634488, + 474498761, + 228863936, + 782777129, + 542556405, + 224856954, + 251988130, + 400348212, + 227200346, + 588745512, + 365259745, + 946189068, + 918268223, + 970097944, + 545085833, + 586490744, + 662118266, + 463206184, + 791398510, + 108833047, + 981073050, + 387511522, + 243348159, + 919442465, + 614270806, + 325816923, + 856367979, + 205023916, + 488517693, + 856005978, + 323394994, + 569334202, + 979325140, + 978519092, + 391915458, + 761701549, + 7317908, + 134255887, + 235332414, + 991334722, + 918060120, + 696949913, + 633509854, + 949030564, + 896937961, + 3072426, + 527994237, + 861012625, + 849867528, + 221276797, + 700831049, + 69813203, + 924740282, + 449739409, + 123762709, + 687433664, + 566014931, + 132428474, + 785267444, + 884320381, + 218308376, + 998518791, + 210202194, + 48144614, + 388100773, + 567449814, + 398337394, + 575923164, + 834187212, + 314041857, + 85100080, + 136970524, + 112671441, + 995405516, + 788909937, + 231029797, + 951629087, + 831733892, + 102802741, + 749977653, + 1117214, + 567823917, + 468355617, + 961704816, + 706498861, + 565089136, + 160811356, + 981174472, + 278867507, + 107181784, + 254161462, + 330571095, + 818422061, + 131914777, + 354429468, + 805668349, + 853357855, + 839401858, + 225167305, + 166782432, + 998406030, + 881252802, + 57177963, + 861986599, + 141253215, + 8015602, + 937280598, + 817875775, + 360842600, + 88132222, + 930975881, + 289053227, + 769428708, + 740697874, + 709287585, + 132397315, + 896105718, + 677612343, + 679691478, + 155892471, + 980791118, + 228498798, + 450687830, + 751619101, + 521951615, + 483092269, + 954460478, + 111264109, + 889680184, + 967751960, + 238958053, + 577575187, + 23685008, + 940063529, + 237573213, + 444408211, + 646341739, + 501254755, + 118016000, + 665196896, + 254361607, + 826008236, + 130537092, + 30617564, + 704621590, + 94070945, + 612769975, + 437896635, + 272958949, + 378672941, + 551413092, + 747391335, + 788355116, + 747109824, + 332543117, + 904883656, + 538643515, + 42778332, + 611432435, + 169994279, + 979035204, + 878764784, + 879473977, + 571059375, + 329657200, + 952712757, + 287731052, + 74867181, + 512458274, + 107972316, + 159191484, + 228091854, + 710924495, + 242627319, + 993606189, + 265039965, + 850807780, + 62933954, + 932664845, + 574330321, + 463718211, + 990516275, + 935102163, + 824790405, + 311616201, + 788107165, + 404914161, + 893405147, + 159474655, + 659763679, + 195337605, + 509318030, + 309894317, + 851487609, + 669670726, + 439161718, + 691024134, + 163051202, + 489366260, + 980804984, + 768013979, + 701743824, + 855043125, + 952533963, + 153842557, + 684426219, + 72471576, + 773272209, + 404157363, + 166135784, + 596856531, + 929363057, + 793834811, + 897485147, + 952914932, + 187334321, + 733832579, + 668272672, + 106182340, + 583150851, + 138328754, + 305759748, + 566642741, + 730556549, + 509351483, + 803254536, + 220578456, + 341377858, + 453167665, + 971297743, + 400840472, + 746940340, + 482857653, + 290055497, + 927067145, + 81157907, + 477214334, + 171703950, + 329168519, + 944653665, + 669645412, + 532415318, + 363582766, + 788587703, + 644206213, + 36107871, + 515154681, + 100602372, + 396889730, + 133669903, + 61923040, + 568057788, + 69602192, + 880904659, + 482362943, + 571670956, + 739667709, + 215172563, + 771915180, + 15622173, + 464165959, + 317955376, + 978351080, + 347862425, + 435897468, + 382268707, + 490269231, + 634460800, + 28019778, + 832279348, + 299911338, + 632768139, + 156303520, + 462148974, + 658416121, + 68529168, + 695482069, + 276327205, + 167604013, + 184952202, + 897966389, + 774325815, + 520643202, + 154931996, + 138568481, + 685963546, + 310674812, + 360608209, + 326759696, + 798400676, + 836943916, + 831217555, + 641203505, + 467703036, + 746795325, + 782430403, + 320139072, + 235599787, + 521206309, + 793342272, + 420703806, + 368103478, + 156481047, + 478501687, + 334856688, + 695734792, + 914355492, + 835733377, + 250601256, + 706667716, + 888505801, + 777556331, + 55153110, + 654767896, + 768877266, + 864538283, + 510812069, + 758206537, + 360476091, + 239184741, + 668102428, + 434414460, + 531378825, + 698589528, + 661223436, + 118397733, + 512597367, + 530726269, + 309866029, + 666845349, + 427191538, + 569679518, + 910634891, + 677907206, + 1353047, + 356816655, + 12170654, + 105820036, + 717906969, + 676210436, + 699077655, + 266172784, + 834858361, + 200569310, + 134109523, + 876431465, + 189159732, + 573629775, + 811192688, + 621158633, + 800946173, + 989345722, + 40084964, + 986280267, + 316004723, + 55277116, + 810687020, + 156407661, + 885776864, + 503288117, + 989104387, + 114502761, + 981683157, + 571368354, + 122556604, + 525448723, + 472735322, + 944647190, + 650762279, + 18316721, + 201609956, + 781584321, + 37503642, + 34721467, + 707984845, + 325667144, + 353819276, + 564366453, + 966004294, + 537952324, + 417677685, + 88564418, + 960896863, + 78219662, + 296181568, + 576405235, + 440089300, + 817556677, + 239606243, + 844934758, + 181770281, + 943975393, + 179344178, + 961131817, + 681095930, + 170040171, + 364545678, + 148639265, + 833310415, + 491481732, + 998650741, + 288485065, + 870725293, + 288095598, + 167449433, + 376563971, + 292880715, + 395466594, + 614134383, + 132134549, + 541380166, + 124873559, + 684949737, + 327982407, + 415626210, + 306952272, + 382618251, + 882396515, + 176655992, + 537873331, + 273118588, + 219022107, + 702516166, + 431635185, + 690169978, + 642759211, + 414957550, + 699648235, + 488116276, + 457797100, + 290318995, + 521743592, + 483675035, + 280172905, + 71581430, + 517590201, + 253135660, + 596239547, + 928454188, + 768528509, + 237342074, + 269109689, + 81692367, + 162524064, + 933879764, + 481734900, + 785767693, + 378712802, + 976565252, + 30726929, + 342574464, + 210279903, + 880643208, + 401721512, + 708335086, + 677947954, + 856958228, + 291363410, + 844420955, + 545720364, + 958004021, + 543849623, + 431070505, + 11408528, + 587155159, + 627223100, + 941719836, + 589169004, + 395903031, + 816883159, + 898154390, + 765049873, + 455117068, + 609918090, + 317936732, + 675485794, + 294008353, + 337832830, + 16332535, + 390006550, + 890492137, + 649310098, + 941593342, + 909640943, + 456533246, + 13524209, + 518842673, + 188237039, + 362462282, + 544312878, + 863270727, + 862516644, + 590993450, + 706563399, + 868082289, + 675349860, + 176589952, + 863454767, + 471727462, + 636001388, + 757707612, + 418517216, + 552814977, + 701084988, + 579901691, + 1657188, + 375653121, + 388336640, + 901988186, + 271811990, + 255799313, + 238419681, + 976119911, + 638921731, + 14565447, + 476372879, + 814275530, + 456213660, + 802057810, + 565899079, + 942061687, + 18026508, + 30012548, + 7616092, + 385642768, + 74753039, + 963422517, + 162570061, + 889667136, + 982132217, + 272585372, + 488785112, + 658076780, + 916292889, + 242289142, + 444842515, + 892462148, + 209959286, + 727433864, + 414004504, + 8512523, + 418141306, + 153074839, + 445674399, + 817329023, + 847887231, + 72970020, + 393097587, + 16222175, + 619462409, + 510363825, + 455375158, + 676932399, + 730809251, + 531026065, + 82447576, + 996431185, + 441880526, + 871831954, + 50018250, + 126408566, + 28162193, + 167093290, + 710409230, + 568802278, + 676572418, + 395799696, + 30700446, + 975700260, + 689021265, + 288839718, + 376652836, + 539649829, + 548655468, + 715634756, + 709136707, + 771522628, + 895261236, + 78750778, + 666029298, + 22164963, + 619921957, + 91010246, + 237592109, + 377579635, + 804094879, + 984764683, + 251609394, + 408639500, + 168435455, + 566841799, + 280864452, + 515448934, + 43035610, + 594516496, + 50656945, + 721157675, + 437881285, + 958439999, + 433941986, + 392227925, + 624490385, + 534906661, + 513069413, + 587412894, + 993452444, + 925228805, + 106473241, + 613982284, + 880655731, + 628270250, + 989812015, + 798696341, + 757860605, + 793879892, + 7492385, + 349080525, + 621229026, + 130035162, + 241601699, + 927952119, + 883773772, + 544088049, + 299779606, + 537745145, + 151795170, + 80196093, + 848393464, + 276594882, + 823772600, + 45762979, + 633826077, + 415582216, + 36788505, + 939323917, + 179629240, + 874523852, + 351996216, + 291817691, + 302334683, + 581878483, + 739569579, + 180999125, + 935808360, + 981062909, + 57446029, + 226756825, + 724458242, + 966214363, + 749799704, + 714529170, + 584735379, + 640938149, + 607588359, + 469490237, + 161174359, + 387547639, + 256846636, + 339801875, + 489192617, + 814169214, + 636429426, + 941092022, + 482128443, + 826514248, + 114294458, + 775053648, + 907828094, + 117157503, + 707547334, + 359456109, + 661522131, + 529693990, + 333426869, + 317335569, + 820471850, + 691543020, + 464468813, + 231031143, + 309063955, + 295910171, + 943400615, + 570924218, + 166020375, + 243176684, + 870178670, + 133039349, + 789596782, + 803325052, + 550343882, + 706852511, + 413126365, + 632653582, + 678818396, + 891721080, + 883072010, + 616145086, + 992996560, + 539541052, + 331201217, + 792080153, + 787966396, + 679568340, + 749211753, + 947881643, + 604652055, + 480974040, + 504113582, + 431494716, + 813078200, + 935555300, + 940315135, + 727166638, + 757088521, + 660567844, + 910999608, + 565643350, + 961945360, + 289464253, + 849551674, + 359850088, + 652739145, + 370494472, + 654253493, + 968423503, + 53779160, + 321566851, + 939443906, + 985565154, + 811128748, + 270047557, + 433256792, + 106808350, + 366209971, + 857275671, + 666322881, + 99237376, + 792884797, + 406768440, + 90783719, + 965204751, + 519675024, + 181153463, + 107105426, + 92239694, + 428410640, + 883135127, + 315533361, + 56814583, + 138112039, + 443616238, + 480018993, + 878332899, + 649635881, + 58249294, + 237455521, + 245029057, + 135478917, + 47471195, + 904905360, + 103112590, + 564009463, + 524346087, + 768890894, + 867444058, + 196280733, + 566893493, + 603892522, + 901450379, + 512504061, + 750033590, + 358629892, + 780891769, + 120275273, + 260321229, + 698499500, + 33290807, + 105395915, + 515706441, + 529578953, + 713094272, + 826700746, + 962382009, + 442788772, + 367902793, + 591730369, + 707569869, + 215229806, + 300506507, + 818200955, + 230537364, + 32141207, + 541083843, + 266089531, + 116914158, + 575623823, + 442808438, + 482960501, + 197150512, + 27323596, + 549768515, + 142160762, + 818657669, + 89502517, + 532608560, + 210805743, + 686334450, + 990940555, + 402336223, + 660081294, + 281485435, + 908603095, + 339887374, + 455647316, + 359968292, + 361243919, + 486154734, + 628614921, + 102963475, + 987537865, + 153636456, + 875650457, + 540119006, + 928207135, + 471852502, + 606915555, + 230370312, + 338737999, + 466617988, + 633855192, + 611335239, + 873579202, + 975986278, + 798155897, + 176277888, + 63347062, + 516514153, + 87463239, + 295666810, + 194706100, + 425253384, + 848477143, + 922581045, + 993090519, + 293926533, + 192007018, + 875367840, + 96188932, + 181222246, + 68648957, + 513705774, + 700423436, + 580288714, + 799875265, + 751092257, + 31361802, + 732259752, + 486701122, + 22060856, + 120733592, + 373839697, + 993415521, + 303097028, + 712122173, + 641724796, + 540421856, + 345661285, + 909112592, + 213368079, + 201577626, + 111635810, + 29574019, + 781723274, + 885043482, + 389647485, + 759008276, + 856600109, + 44386974, + 676535525, + 96880054, + 713573080, + 364200365, + 432955395, + 988106045, + 198798314, + 996122219, + 715294196, + 108453506, + 137531542, + 481839910, + 753644315, + 62117585, + 238889327, + 425084964, + 771147250, + 535138197, + 152252751, + 811582366, + 822381568, + 903012588, + 348304745, + 436787079, + 818265690, + 580718791, + 933181979, + 312663881, + 899661324, + 919012158, + 104193774, + 217424310, + 674702425, + 243239248, + 667548350, + 721117435, + 477189979, + 627792528, + 851895739, + 880780400, + 568862894, + 580416463, + 647628214, + 975787460, + 183476244, + 258651403, + 19875284, + 512211074, + 290372411, + 716058700, + 849803107, + 494690368, + 30970634, + 513257249, + 215524131, + 787500294, + 425215919, + 949518730, + 105953907, + 23137188, + 561536791, + 724153002, + 575379348, + 622735652, + 8002363, + 657438093, + 893818636, + 523353333, + 798426396, + 300080924, + 945009196, + 977173311, + 406954176, + 219429825, + 313621544, + 112385730, + 32554711, + 992034844, + 737978755, + 497009041, + 859816036, + 520423280, + 896401840, + 238961591, + 640662030, + 945271521, + 646947271, + 296325082, + 401380731, + 148597473, + 210964288, + 568305145, + 790296591, + 968869725, + 828713031, + 544826190, + 401155681, + 658575659, + 933435793, + 151592780, + 910160919, + 291729351, + 37627663, + 60394241, + 758928351, + 963958128, + 688406179, + 630003799, + 292120275, + 961987590, + 780011689, + 149420699, + 70508778, + 151170219, + 251691212, + 497030316, + 817212177, + 848586395, + 378530675, + 161500872, + 925851616, + 301156659, + 682492689, + 393283465, + 293072395, + 593062264, + 832976577, + 830126687, + 694413773, + 387315572, + 189069478, + 834140019, + 909331535, + 912433663, + 823682875, + 219238203, + 959412534, + 244878429, + 180814329, + 513897313, + 459032545, + 15474310, + 290536038, + 951495861, + 815051933, + 690230564, + 43271729, + 170240404, + 729938476, + 278364788, + 557125204, + 323060300, + 3408960, + 738426466, + 605672759, + 115318261, + 420332948, + 221705021, + 112705091, + 35282615, + 323106684, + 750193017, + 643531883, + 220117998, + 16176953, + 883305015, + 289718864, + 211636765, + 359772645, + 625126319, + 501887634, + 559252266, + 927815796, + 550980093, + 100629283, + 540717079, + 95924642, + 589675445, + 596585536, + 70303784, + 824564124, + 465688997, + 400500665, + 381167249, + 331617975, + 410285032, + 256160174, + 160554478, + 933246785, + 622274762, + 793400961, + 120049546, + 167771467, + 454951962, + 609050902, + 839733263, + 697050474, + 25300849, + 992892849, + 999313956, + 447855688, + 587492879, + 559589683, + 364565575, + 751333643, + 49914274, + 834142560, + 159075775, + 500939772, + 548686970, + 65832371, + 367654627, + 37696907, + 976830166, + 379134519, + 519476863, + 946748180, + 534776218, + 855771030, + 921687030, + 22201687, + 865872768, + 710851841, + 925234304, + 860286128, + 174111606, + 229261374, + 41209901, + 6178635, + 309642676, + 992024715, + 294714155, + 538602426, + 195672691, + 150769986, + 455960147, + 930663702, + 646707292, + 482150906, + 639720370, + 975169846, + 163825658, + 616468153, + 397363126, + 417962549, + 377053510, + 91109704, + 71019740, + 374398639, + 610962604, + 70816934, + 416227388, + 601890309, + 680665673, + 984941452, + 602530397, + 456023575, + 67148831, + 907307001, + 852763935, + 193776358, + 338021445, + 988224853, + 996004752, + 103525552, + 718953861, + 693578576, + 887087224, + 456900770, + 810093553, + 736983622, + 303857749, + 436250712, + 363792188, + 871889533, + 387285266, + 7777518, + 371393610, + 761538749, + 291742070, + 536653956, + 980296166, + 80239158, + 334071385, + 636033044, + 390730923, + 49362564, + 122382823, + 294775472, + 841966700, + 602366772, + 625323120, + 821097218, + 998900132, + 813445637, + 152698458, + 198782494, + 802787696, + 612682549, + 122249717, + 422739745, + 43786716, + 716489887, + 932233963, + 320232251, + 947532398, + 105064326, + 537013871, + 803845880, + 648777857, + 720023084, + 377738458, + 297868125, + 308794386, + 383709053, + 952839378, + 159384982, + 116794368, + 355315547, + 348752175, + 896983097, + 821370765, + 3784808, + 733885916, + 214792102, + 910698225, + 674303649, + 672362452, + 434154159, + 453999252, + 424589265, + 109528737, + 420834920, + 692767295, + 757282418, + 425683478, + 554323792, + 708422076, + 196885550, + 268884053, + 316900091, + 169539609, + 547331447, + 594569026, + 636608586, + 174917861, + 967501482, + 125318250, + 416396636, + 394964459, + 90986633, + 483666125, + 496373247, + 888095511, + 109979007, + 357283255, + 421661131, + 760269030, + 190842563, + 562954767, + 919940832, + 421097497, + 63773814, + 622026111, + 179865880, + 928893181, + 951684043, + 775311716, + 682300438, + 773160911, + 402738977, + 105222257, + 26548885, + 235943130, + 545475664, + 135600213, + 91550808, + 613855, + 812106429, + 796933038, + 566657205, + 814211623, + 152315147, + 41156437, + 408612413, + 456315162, + 906230924, + 176170508, + 915998444, + 225974809, + 519810622, + 903089250, + 451002814, + 492252300, + 78941172, + 618398976, + 288163103, + 921199248, + 917163621, + 538280150, + 965010093, + 968576760, + 242440302, + 705593839, + 944678008, + 26296029, + 87899320, + 785609157, + 997216269, + 620658665, + 785436748, + 30635577, + 907298350, + 976338500, + 789216033, + 534631831, + 121707133, + 621890833, + 174297568, + 927631386, + 226762738, + 105292699, + 228603250, + 419698591, + 882865225, + 899710501, + 627547781, + 486694638, + 821973500, + 391653378, + 726591058, + 529119713, + 485383406, + 559102127, + 399627398, + 244142219, + 673947199, + 901758617, + 713062407, + 823075020, + 455091625, + 834052821, + 541694138, + 588488732, + 473817183, + 783349167, + 871909633, + 9571279, + 969133532, + 929913573, + 499940456, + 546333121, + 823917435, + 420388000, + 841240144, + 19565454, + 605001346, + 767293813, + 851434475, + 9453559, + 748750941, + 861445748, + 703011773, + 34488766, + 460902152, + 261215764, + 784602513, + 597900415, + 419654787, + 128875984, + 160131590, + 717712377, + 56220589, + 336078316, + 593180566, + 380032776, + 495254473, + 34031030, + 869296805, + 595805085, + 400311494, + 329073877, + 837014305, + 26415242, + 135563303, + 180711741, + 398408180, + 58104009, + 325694104, + 207974761, + 436312005, + 258769252, + 859393177, + 516932521, + 193706325, + 574763339, + 694906510, + 191037349, + 660777544, + 933224382, + 659440571, + 333093695, + 710328286, + 894602657, + 511055460, + 504469738, + 742362820, + 206877476, + 197983682, + 597177387, + 289996409, + 131786151, + 911059318, + 127856666, + 804534936, + 767586021, + 164356394, + 273983566, + 174872921, + 510723647, + 592915933, + 720454856, + 111699111, + 540308073, + 573349462, + 729916880, + 141422586, + 721229118, + 987554466, + 531981885, + 791888374, + 382081083, + 750920223, + 424572571, + 261493165, + 515142511, + 942729810, + 979818030, + 757030121, + 19701367, + 999354683, + 187967299, + 382527809, + 225644678, + 13692285, + 461452553, + 618315205, + 667946139, + 975373265, + 22569379, + 263683376, + 973100361, + 844899495, + 893683432, + 266026407, + 19899580, + 212785691, + 204904722, + 909252856, + 201106623, + 851100174, + 327518484, + 87487074, + 720687907, + 895918813, + 389206705, + 366568068, + 304934860, + 16829079, + 810509866, + 937305323, + 746331024, + 310762423, + 214872398, + 209104580, + 196262441, + 410779262, + 566117950, + 336789814, + 517413850, + 737626109, + 971300575, + 523823386, + 98599637, + 949612225, + 393533198, + 132013638, + 362812488, + 428941294, + 385050704, + 890924810, + 700041411, + 317267765, + 393381875, + 273954056, + 393047128, + 706617234, + 941440214, + 137713000, + 955986814, + 217590386, + 179682768, + 82252365, + 650826015, + 225263170, + 840691803, + 495679928, + 193577970, + 255361643, + 892021169, + 923386873, + 762090147, + 912857627, + 934867514, + 843550769, + 754516061, + 564366842, + 266873677, + 120551078, + 391500180, + 789372143, + 488879848, + 234778957, + 472328396, + 444013222, + 157562691, + 295563766, + 145127422, + 539865128, + 735236176, + 325407597, + 836757965, + 602321970, + 751153493, + 653443633, + 754205890, + 361355359, + 374397477, + 474533339, + 91547556, + 721900733, + 47293697, + 188805118, + 175153161, + 594463271, + 94889160, + 245755311, + 401103166, + 862934641, + 123226825, + 205177353, + 298761428, + 138225830, + 50287135, + 446530577, + 788930187, + 888648625, + 341961655, + 91455938, + 454292192, + 196186771, + 170257127, + 803962441, + 83314645, + 734483576, + 589069268, + 434161352, + 583284721, + 830469751, + 40260858, + 492512329, + 238438721, + 656988421, + 292048821, + 146285058, + 664637663, + 92545315, + 679213501, + 229051694, + 957321480, + 982631174, + 925208831, + 271512500, + 523932260, + 94069570, + 897408191, + 616698973, + 182595132, + 416153850, + 265457690, + 921327746, + 378630280, + 368371961, + 834901900, + 935830607, + 101437912, + 603468588, + 437119400, + 972072106, + 4293052, + 577491523, + 671178374, + 425484301, + 544359538, + 539463524, + 386494403, + 432006199, + 850802308, + 815576277, + 70944196, + 776793504, + 127133956, + 231679397, + 458693319, + 69232014, + 646197188, + 745190017, + 593621002, + 543875909, + 553607170, + 241184105, + 7574210, + 12649035, + 486540634, + 804409384, + 117414845, + 87727512, + 303950562, + 757290060, + 356234318, + 949480864, + 631981937, + 969035737, + 584737430, + 445935375, + 450243227, + 982338537, + 853145588, + 37696692, + 884062650, + 708987973, + 399179763, + 436303405, + 79423889, + 654373527, + 143944884, + 489891385, + 119980270, + 503335954, + 23282136, + 375781591, + 45128008, + 820025737, + 820027669, + 939242258, + 972039090, + 349180897, + 537771654, + 372022189, + 216841522, + 738588817, + 831069965, + 657639468, + 234632059, + 925889962, + 861629584, + 71271112, + 429345742, + 664070004, + 691878380, + 737691706, + 157704079, + 513109455, + 605382893, + 834032802, + 747228818, + 357885502, + 328187276, + 618868006, + 48868652, + 754050745, + 831580162, + 397204041, + 180762015, + 514330405, + 23763580, + 996520820, + 170854224, + 868456143, + 926294048, + 52948941, + 773725795, + 232798967, + 597019274, + 765525423, + 663085701, + 31341860, + 914619380, + 80633296, + 117359842, + 765510442, + 75009314, + 968130411, + 811859777, + 9201382, + 542789848, + 336823988, + 972416534, + 403938119, + 502826142, + 692923313, + 59307404, + 624895466, + 550841016, + 893293828, + 268776634, + 429271238, + 102176989, + 340694694, + 977618186, + 614126917, + 551004741, + 968360746, + 135048096, + 831711390, + 213193783, + 578807921, + 363759187, + 949757445, + 985948364, + 316520942, + 569884202, + 586004003, + 377368532, + 308323562, + 584422845, + 383104707, + 970673962, + 720346370, + 461627482, + 54936076, + 480713241, + 999703691, + 143373077, + 153300944, + 881944866, + 568337532, + 506054981, + 61271871, + 387000736, + 145703661, + 860295298, + 999835690, + 510615694, + 76563435, + 447348600, + 542651107, + 312504333, + 476461471, + 574513593, + 537673229, + 911313413, + 739918496, + 462071764, + 364209847, + 107377823, + 362112061, + 396234413, + 954247802, + 54893402, + 249343232, + 520234613, + 966777782, + 51759673, + 947412900, + 29423591, + 176975187, + 720867304, + 945119953, + 422419107, + 149533811, + 266308964, + 968089487, + 440480474, + 710755509, + 953642052, + 389268144, + 257131851, + 564483486, + 114528947, + 768396179, + 524324541, + 984382919, + 335503421, + 46850093, + 365742746, + 731503795, + 519001093, + 553399948, + 605267111, + 71652307, + 945129887, + 703935223, + 218518705, + 804976348, + 296231131, + 66528468, + 114108608, + 539318565, + 207316950, + 613627424, + 620219147, + 113433563, + 937283583, + 416392401, + 974731222, + 159189201, + 985324841, + 812500684, + 324245623, + 609085459, + 668202776, + 66066614, + 264281310, + 495828046, + 857558116, + 863599912, + 657346588, + 746818425, + 972151277, + 976528831, + 319309381, + 931932019, + 481440087, + 472283044, + 898698870, + 17669710, + 613529290, + 279439819, + 996179445, + 476693561, + 305643113, + 538953106, + 324070794, + 385594448, + 766583235, + 248147907, + 975984376, + 412309986, + 183880618, + 250425263, + 647370362, + 633127652, + 686323380, + 661752677, + 453813502, + 64654642, + 468987080, + 233539897, + 902976488, + 359434182, + 509884978, + 843223323, + 711455470, + 246010004, + 774174351, + 131962624, + 728871248, + 72540501, + 82868203, + 730649883, + 598563549, + 751579824, + 867000765, + 288213956, + 133682867, + 9470412, + 376984477, + 934722240, + 359928093, + 71559917, + 209806562, + 66958133, + 87167664, + 811470411, + 425187979, + 355048349, + 130116851, + 80648277, + 673636755, + 715161457, + 398586621, + 591958173, + 858919910, + 662349493, + 737734315, + 537406078, + 638873646, + 714344856, + 279960686, + 550881399, + 829617117, + 474618016, + 542005131, + 588750483, + 482274686, + 754645711, + 954494106, + 632428228, + 163590411, + 83948525, + 596189409, + 351304613, + 598078136, + 546975281, + 868303361, + 131947622, + 493623899, + 520954018, + 587752554, + 496932600, + 734199903, + 16886643, + 598146284, + 278904507, + 78816436, + 934491006, + 296249598, + 150171923, + 853175452, + 55854347, + 989469782, + 577054733, + 129291488, + 227465155, + 555177200, + 906462762, + 162224183, + 269482008, + 130412147, + 211885050, + 168862533, + 51889106, + 620270408, + 503576354, + 232482042, + 361222834, + 310341817, + 260431350, + 51464046, + 342893030, + 926111512, + 546109431, + 651573368, + 29101600, + 64119475, + 849863149, + 390107607, + 456635217, + 441258071, + 784112276, + 680917517, + 249246950, + 752763510, + 718438880, + 897407960, + 765166555, + 936037986, + 833486183, + 838460404, + 967490533, + 363859117, + 419233314, + 805519137, + 722171177, + 453534760, + 927844976, + 65987679, + 794672750, + 309627764, + 588690968, + 196045552, + 848534308, + 411713633, + 561505038, + 16037435, + 456054443, + 202611801, + 500786060, + 223133517, + 805823459, + 961248620, + 18187503, + 660489309, + 842499027, + 734430365, + 824189968, + 57866462, + 381860410, + 43218280, + 944382062, + 531548701, + 670345410, + 391036191, + 443781716, + 586349495, + 583416095, + 82889267, + 116708340, + 533126355, + 697020802, + 22022437, + 7458104, + 558422274, + 126709934, + 31421028, + 766831422, + 116089188, + 697613468, + 596494655, + 981407553, + 809250028, + 319644579, + 802719595, + 887560018, + 330852683, + 545465175, + 583290027, + 318093246, + 902466142, + 282022854, + 863812858, + 216565239, + 456368800, + 891980124, + 854393271, + 992407700, + 311850005, + 838830312, + 73840954, + 595919312, + 904701332, + 644970715, + 92038373, + 768902538, + 571847250, + 974194827, + 162576192, + 498623217, + 968379826, + 759096323, + 261368968, + 482213634, + 860971817, + 371019433, + 100663536, + 610199004, + 276802798, + 917041128, + 381062984, + 950195767, + 726049338, + 886451591, + 103900473, + 362491735, + 358392281, + 165101235, + 197827286, + 638804388, + 399714138, + 916845126, + 467731770, + 453569183, + 988093030, + 276945325, + 589187470, + 320006638, + 50705137, + 501947987, + 105661090, + 917695865, + 706058914, + 500496391, + 591650350, + 451720252, + 569665773, + 86259026, + 809639852, + 862519815, + 54809845, + 87551005, + 203183764, + 655027807, + 74696771, + 394796445, + 458721247, + 11224217, + 195893828, + 232642138, + 972514039, + 590573004, + 125767976, + 3854875, + 112542807, + 461165146, + 768105777, + 167108202, + 534350304, + 81746573, + 708397460, + 765896163, + 211769581, + 379548951, + 766291094, + 859576056, + 220634782, + 481950927, + 201047193, + 906830070, + 8920551, + 159536625, + 323796434, + 701178082, + 968277410, + 158734162, + 995274604, + 985772351, + 851754787, + 677067486, + 342501148, + 427818736, + 987233651, + 346588298, + 190247203, + 200338169, + 679510221, + 888687573, + 917865697, + 866204750, + 690559812, + 265657660, + 906518146, + 418251138, + 129887856, + 35122017, + 379297359, + 567306290, + 561226791, + 829185296, + 431506921, + 595973792, + 30367955, + 794874337, + 561740925, + 814577055, + 396592267, + 214686118, + 876107986, + 149336141, + 784608991, + 883763092, + 929563296, + 18600289, + 942975775, + 926152448, + 880742860, + 168723244, + 680029430, + 115379128, + 261888232, + 919957012, + 62622424, + 726562426, + 639651320, + 198379926, + 792661358, + 378350899, + 611083939, + 876994827, + 221788063, + 991678869, + 248491701, + 505772123, + 898863649, + 140648934, + 662661734, + 379788546, + 553465001, + 531462977, + 117827494, + 222633928, + 181607996, + 406258422, + 203955494, + 45365876, + 948706533, + 114336646, + 748745882, + 854774114, + 671449080, + 255968560, + 629891256, + 981522539, + 474419934, + 283187877, + 236674093, + 817196739, + 431493922, + 791477226, + 384645606, + 571268470, + 914896069, + 70844146, + 928229504, + 811911038, + 923530808, + 107896933, + 269791500, + 262091862, + 879418318, + 996169887, + 576682604, + 990533756, + 520414986, + 4402877, + 814800969, + 788057177, + 790506614, + 646912151, + 882778185, + 907597905, + 961634489, + 502359443, + 828438954, + 495233243, + 627704198, + 133015727, + 138904920, + 759586314, + 179806868, + 988142163, + 812321403, + 456964577, + 754160947, + 65864228, + 645227478, + 524938879, + 551309265, + 823340630, + 948807910, + 288670696, + 460686906, + 922611282, + 198731262, + 204187301, + 81322258, + 510906694, + 615889690, + 810947002, + 436058862, + 599407431, + 592491637, + 990267795, + 92693605, + 461540960, + 573024023, + 888405528, + 816527608, + 585932129, + 443944724, + 572564443, + 793571708, + 132730973, + 708514726, + 113621602, + 950836933, + 884458968, + 409473677, + 538445758, + 271151543, + 851016209, + 554961809, + 231413480, + 672791642, + 191442804, + 605411792, + 626421475, + 216106340, + 595352205, + 959268076, + 550569565, + 486314575, + 111933674, + 730581916, + 659164685, + 502546235, + 567533237, + 982475899, + 301094228, + 107546226, + 4340079, + 766860415, + 844796830, + 630350725, + 357554218, + 243012467, + 988534448, + 959997993, + 229342974, + 935849681, + 803136006, + 320885289, + 111663027, + 189206895, + 204545863, + 985833412, + 331893995, + 611813248, + 606500868, + 908688140, + 520930866, + 995278456, + 715284226, + 284102393, + 548262152, + 435234384, + 157948656, + 58135154, + 606252018, + 775978589, + 528300451, + 95102029, + 924719734, + 149423935, + 568316249, + 480239207, + 533446461, + 511804628, + 516102828, + 829905468, + 216181961, + 602447591, + 954786080, + 319141107, + 773107943, + 371699665, + 827528933, + 149326382, + 863403554, + 86643841, + 272988086, + 441035844, + 727985690, + 11767993, + 531226227, + 244468916, + 959038750, + 780168238, + 7662979, + 245815814, + 407673508, + 325400665, + 904051112, + 681124225, + 109036733, + 818525149, + 443204513, + 454876798, + 709254660, + 450129776, + 462532843, + 397050699, + 147089689, + 615422381, + 575047869, + 613976564, + 247607139, + 103545660, + 283772020, + 365957947, + 416175337, + 552659309, + 323349501, + 638823338, + 405600180, + 887296816, + 170020470, + 546088027, + 423424615, + 434413357, + 487899076, + 792137063, + 749082894, + 653519921, + 600344473, + 876854506, + 484002284, + 440746931, + 570958527, + 837271054, + 188348645, + 428197684, + 800734864, + 39561443, + 255738938, + 871074482, + 478115204, + 303308416, + 80556302, + 377977356, + 964061967, + 752974708, + 565489464, + 621314862, + 647407440, + 180254426, + 759117311, + 352357561, + 863381189, + 426504581, + 489748551, + 205881135, + 695188265, + 434823991, + 45522645, + 208828776, + 19697144, + 533401403, + 627589296, + 815009975, + 359181282, + 590385085, + 82381564, + 968945316, + 230093798, + 539984649, + 89259097, + 960617925, + 702911473, + 316459209, + 399770410, + 898941377, + 41793969, + 770669523, + 292423691, + 162720800, + 428978585, + 426481288, + 268337496, + 294440331, + 111612341, + 863369262, + 626851177, + 398543708, + 968176016, + 237174674, + 439904483, + 259585892, + 5140761, + 309303741, + 745647630, + 576904609, + 974893447, + 19274581, + 767065312, + 86281886, + 157126137, + 697430619, + 872559626, + 953865059, + 786727333, + 81827700, + 823533299, + 734339144, + 34442404, + 44571558, + 470325047, + 185864392, + 194524362, + 657990328, + 912989062, + 178966586, + 327822690, + 129979977, + 784107795, + 695322750, + 132047462, + 577284535, + 350838352, + 532281016, + 517965294, + 843301947, + 427332173, + 107636827, + 59520956, + 646447689, + 52677900, + 421597711, + 913930259, + 583882651, + 903673190, + 315314383, + 408274447, + 85738071, + 1922619, + 90131946, + 839485608, + 217751311, + 151579775, + 399582540, + 237626928, + 454863827, + 142119925, + 88204220, + 360238524, + 208563901, + 781322569, + 495459580, + 394503044, + 601582786, + 650193065, + 272057133, + 628393477, + 403747104, + 670906903, + 937080958, + 583067833, + 433510269, + 768335785, + 43887513, + 819562216, + 347217970, + 606401489, + 563758396, + 285699898, + 885023435, + 617158397, + 472285793, + 3766002, + 399590917, + 681534594, + 402692289, + 401136525, + 542266584, + 890357948, + 775642291, + 660250793, + 818326200, + 217925902, + 19185214, + 848794061, + 698652348, + 845434457, + 81446839, + 967268903, + 187234970, + 152784613, + 594811286, + 65111715, + 369289910, + 911034128, + 436489190, + 735013164, + 402830751, + 67585349, + 935637749, + 784291978, + 835166602, + 388938700, + 719913379, + 195887834, + 892881077, + 973592435, + 31563508, + 727710847, + 69985215, + 183783947, + 144334682, + 697699696, + 77458593, + 678980904, + 78170669, + 244038315, + 739500498, + 949067401, + 67684867, + 370107146, + 883247053, + 690011254, + 43616646, + 821387304, + 272505701, + 855547940, + 925374369, + 414029148, + 295351252, + 816176911, + 783475067, + 177438753, + 637929881, + 860291895, + 552469634, + 239997453, + 148689540, + 340137285, + 552133406, + 486928153, + 748695617, + 911770413, + 553029201, + 779510176, + 641695935, + 930353637, + 589302909, + 260298685, + 227598089, + 544836779, + 800788537, + 874515653, + 137967319, + 683127109, + 69553547, + 428255654, + 297871722, + 875068743, + 19356841, + 358309172, + 861592679, + 544715022, + 208502229, + 20877687, + 768236286, + 519367575, + 643272158, + 986792335, + 47663498, + 349574242, + 106853276, + 909254988, + 350443223, + 446041417, + 627767716, + 439071015, + 334739966, + 863177343, + 661645594, + 400467834, + 636585569, + 533554868, + 451168356, + 106067452, + 324584349, + 411378367, + 828753585, + 912666092, + 676406646, + 199040739, + 652094042, + 784775007, + 460494937, + 621083256, + 484437569, + 116318323, + 318823965, + 994208976, + 110434485, + 588901821, + 516556662, + 77894907, + 54530593, + 701755787, + 891303431, + 886758146, + 494030927, + 688333645, + 12499359, + 483625558, + 544304838, + 438376247, + 318197683, + 254420156, + 519680360, + 39457032, + 255784404, + 218984050, + 434840983, + 998133249, + 497583048, + 5774127, + 270683617, + 88188894, + 276599180, + 727202502, + 270109310, + 142018876, + 713543974, + 534840480, + 594163248, + 104005828, + 634882329, + 282195701, + 775983667, + 492419708, + 414848981, + 557149224, + 325862841, + 855885436, + 218539009, + 7647437, + 339493683, + 685804392, + 398085306, + 400870996, + 20977994, + 358517923, + 850656181, + 905600340, + 390197579, + 949806584, + 479408345, + 866284436, + 308054113, + 211852099, + 472385818, + 846255070, + 472346416, + 357898478, + 335940240, + 343081180, + 198745424, + 12251544, + 842099639, + 76267709, + 175376799, + 941613813, + 426989434, + 413996659, + 231582218, + 914689555, + 135927717, + 775244846, + 739319742, + 288464357, + 904373812, + 253725181, + 716261074, + 891136927, + 731290386, + 219798960, + 20325298, + 501623475, + 30093643, + 18104533, + 595834479, + 557113869, + 277357545, + 351999219, + 689293795, + 343004364, + 220709015, + 212810615, + 35711355, + 879984789, + 296675943, + 653942756, + 980124288, + 79631509, + 466899966, + 439118249, + 197051655, + 604822909, + 339091244, + 473747760, + 834220512, + 861763201, + 78204804, + 381410843, + 44431189, + 155021751, + 297466020, + 103509264, + 982119632, + 685478851, + 415974295, + 181728932, + 284883091, + 255894671, + 476602574, + 49488425, + 380039779, + 708071302, + 58195826, + 57096014, + 60711992, + 568820996, + 812698920, + 706880260, + 740828890, + 463930206, + 646484466, + 56988037, + 510831493, + 655783115, + 617265625, + 443845796, + 937978954, + 316493956, + 69748197, + 559740651, + 806049346, + 272784594, + 672082037, + 60382568, + 84946934, + 967940151, + 679650173, + 876236735, + 47403467, + 159533191, + 416141753, + 878364435, + 911045565, + 846305591, + 896461492, + 365682230, + 600744986, + 866513647, + 20176543, + 972542086, + 888480755, + 550184109, + 354658704, + 36904392, + 889792911, + 617722963, + 872517218, + 591928473, + 564610346, + 349832670, + 764036199, + 153061468, + 651248353, + 125693600, + 626619651, + 531923867, + 397896346, + 481578558, + 16504817, + 250525600, + 310322323, + 232216261, + 277473252, + 257996910, + 396033996, + 159633241, + 880886116, + 771925804, + 9848698, + 111408388, + 415947328, + 32911014, + 804103474, + 464203621, + 144792073, + 55631865, + 104974798, + 162386048, + 208786569, + 484366893, + 528501660, + 764464228, + 168364144, + 344225645, + 804669885, + 517699308, + 852496080, + 261507299, + 84972372, + 62229049, + 790803172, + 623522497, + 12775405, + 903195562, + 734422496, + 10282324, + 977910019, + 360446800, + 816224564, + 500725804, + 660341125, + 637413052, + 266961852, + 868936011, + 539745700, + 939834226, + 270650762, + 77401272, + 322090889, + 426728005, + 426028106, + 93179805, + 432822797, + 351383498, + 644307270, + 575045618, + 603391452, + 419499338, + 172809886, + 960694415, + 504991067, + 807647368, + 729740308, + 454180056, + 586347711, + 407089099, + 451793273, + 138677654, + 706152102, + 379963039, + 434376581, + 927018544, + 823883222, + 104494403, + 645396742, + 79270869, + 979596722, + 386980284, + 506462053, + 171090930, + 598548632, + 309270239, + 667579438, + 407915877, + 595916451, + 957538876, + 272621326, + 925552237, + 2850932, + 932216643, + 101967391, + 715823643, + 505667310, + 820669523, + 687556018, + 48314249, + 389537976, + 20106632, + 656182415, + 773495147, + 801798207, + 614959912, + 918211177, + 777586570, + 674153161, + 984409342, + 649378413, + 388689752, + 380687430, + 421441560, + 529887990, + 673828241, + 934844944, + 720619789, + 795233592, + 55825430, + 470006546, + 7336120, + 328219109, + 120826475, + 698293192, + 520751476, + 999635899, + 267741204, + 340754730, + 876242159, + 767984238, + 796145734, + 672018321, + 119996481, + 471330944, + 261606644, + 150874407, + 393691220, + 585205168, + 209129681, + 138439555, + 659685406, + 475444805, + 102630536, + 151731650, + 503696915, + 572005713, + 550071249, + 262691515, + 776288995, + 560273522, + 121200056, + 734211170, + 306001405, + 996463951, + 903988482, + 301862572, + 2967137, + 883030533, + 479443812, + 934894557, + 612078156, + 790586243, + 144685489, + 993757075, + 574946740, + 353533653, + 836227497, + 859048390, + 984129451, + 51108354, + 343520327, + 351035967, + 481177231, + 242261825, + 864372667, + 97488515, + 213665580, + 421920094, + 912396548, + 817631680, + 323626127, + 177162791, + 127056614, + 835236154, + 873442862, + 256628247, + 221299506, + 852701087, + 408498221, + 210743493, + 659038034, + 431322008, + 355376307, + 955880691, + 115762161, + 997083566, + 341006083, + 422384837, + 745226449, + 441742410, + 174129338, + 416181936, + 301692840, + 908637666, + 617694707, + 101956809, + 979958136, + 235084777, + 223815251, + 8016132, + 630452074, + 998284679, + 740337092, + 609076966, + 214317809, + 458519281, + 376892616, + 85850446, + 154653425, + 204967147, + 54947917, + 680473604, + 437395672, + 849555451, + 539916828, + 430704999, + 66634966, + 112095886, + 823196337, + 335369944, + 800437314, + 461504857, + 313828844, + 256722315, + 425323694, + 896679685, + 323106242, + 385832156, + 457746494, + 847508186, + 286730192, + 233751633, + 164529796, + 234940673, + 59475012, + 905981007, + 378275440, + 222174057, + 439341968, + 817210374, + 473829362, + 913140429, + 250146755, + 401437578, + 520347746, + 545475334, + 530983996, + 667237538, + 727029386, + 120131462, + 911985765, + 146743002, + 245030381, + 665311953, + 916158662, + 26562999, + 214473696, + 957017903, + 609574851, + 95714912, + 725125261, + 70081802, + 911675592, + 409604420, + 329273843, + 273410293, + 422133470, + 453895401, + 409910178, + 204913620, + 446298906, + 7109163, + 931165033, + 954608491, + 393632608, + 807295459, + 261370216, + 302514861, + 501668700, + 165141081, + 646049614, + 451305124, + 709298853, + 945546797, + 98893035, + 760097682, + 420809390, + 683138577, + 884485042, + 533132080, + 52685044, + 89689904, + 861810379, + 456368524, + 467741389, + 357419164, + 3693724, + 854001406, + 879836986, + 778018854, + 571838854, + 58959921, + 565903771, + 777197822, + 352859232, + 870021941, + 106506980, + 259051848, + 497881793, + 597500360, + 668227493, + 233951381, + 41790821, + 527246806, + 233175705, + 738101307, + 530100353, + 134243757, + 779803206, + 893226007, + 37429814, + 913776801, + 55414029, + 642853278, + 353019687, + 997681668, + 686251004, + 352031744, + 79547067, + 140440560, + 165729807, + 950370659, + 282558121, + 621048351, + 655572980, + 646272722, + 407738380, + 612811896, + 601897170, + 626909363, + 793076272, + 25199102, + 908455201, + 706356964, + 272845280, + 962925676, + 5866998, + 120023850, + 133161029, + 913061558, + 862680452, + 919325076, + 735070298, + 755509133, + 488549130, + 167097860, + 663374198, + 958558114, + 237797084, + 738876722, + 69897176, + 622036908, + 20773703, + 198911393, + 882276648, + 213474517, + 663879043, + 298933443, + 539105291, + 673633430, + 401509436, + 762502164, + 451109272, + 761587652, + 562746939, + 852902984, + 696317930, + 639349593, + 614968982, + 464551421, + 72389666, + 973367762, + 392799204, + 604231659, + 655840797, + 154843791, + 672664957, + 528774345, + 875322047, + 134315584, + 702289357, + 696329815, + 930596281, + 780499103, + 826487285, + 812403644, + 84109844, + 265555797, + 214702768, + 673128025, + 972878785, + 566505595, + 696537364, + 240381881, + 626093658, + 439651814, + 411097261, + 44138197, + 563679206, + 213671936, + 386277771, + 852121757, + 268984298, + 384539785, + 432153400, + 39123336, + 20061071, + 113238402, + 273233902, + 563262824, + 359263262, + 301215010, + 776331397, + 534434523, + 32111681, + 708643402, + 79270473, + 492220422, + 448906532, + 240149550, + 285071050, + 830679570, + 442334689, + 547589248, + 273166447, + 293603265, + 917728090, + 154885404, + 704186889, + 280962986, + 331947899, + 107563918, + 157581709, + 550548875, + 828520255, + 972712775, + 241100250, + 600337807, + 434291152, + 438328130, + 868016050, + 971072701, + 117760425, + 583827634, + 566894257, + 669369169, + 960856252, + 244542890, + 939423815, + 442492299, + 679618046, + 114206061, + 765678173, + 614217440, + 885789173, + 874147525, + 114193954, + 639073207, + 36282682, + 662318695, + 81401973, + 307460332, + 151815230, + 792244099, + 588692784, + 796646594, + 105459461, + 627220796, + 176727226, + 35812346, + 829757651, + 449016539, + 762519514, + 48324276, + 667837562, + 801939567, + 503091892, + 323615365, + 386089691, + 348923232, + 185290190, + 306456258, + 102529322, + 241565984, + 467509772, + 470796288, + 558539956, + 475405728, + 96143340, + 728414541, + 194943790, + 333478252, + 245999982, + 385332591, + 108428943, + 725471738, + 656643240, + 664685056, + 368806377, + 641141657, + 905211907, + 94157687, + 574779326, + 161319103, + 667336384, + 963309223, + 118050397, + 621154537, + 626459250, + 517130106, + 251789890, + 837208416, + 140051916, + 831456440, + 747530017, + 651615975, + 542061173, + 858942148, + 802827342, + 837497770, + 302197066, + 161216407, + 739151491, + 699012657, + 699777759, + 294932766, + 850383600, + 780459623, + 626672487, + 871393900, + 83151519, + 111159718, + 583768878, + 128731021, + 858678479, + 520115293, + 574683867, + 721681443, + 818199190, + 499756442, + 713261972, + 602469347, + 588343083, + 772807447, + 714224221, + 511437051, + 431922344, + 813823153, + 419839852, + 724210079, + 312589211, + 822837075, + 438173502, + 324826140, + 23332216, + 913037906, + 693399833, + 606829358, + 531476968, + 401148591, + 48322304, + 902852426, + 862864779, + 640027679, + 734529508, + 685267902, + 814563804, + 182081708, + 434016391, + 187261589, + 162449424, + 746632311, + 911282068, + 25909645, + 879793864, + 320691492, + 869609801, + 30386503, + 36949865, + 821997009, + 784744975, + 348709313, + 801577727, + 759825091, + 918605367, + 263001650, + 611074450, + 390066065, + 975304497, + 833188341, + 807186857, + 302075169, + 571413862, + 852841876, + 727139522, + 137163392, + 94834425, + 494286255, + 395025956, + 872445131, + 473629020, + 779751256, + 442945011, + 595287504, + 564070805, + 967136974, + 699481149, + 538349798, + 990460938, + 227591845, + 992455486, + 548118845, + 754204834, + 728064738, + 603335429, + 203725445, + 16995429, + 860820789, + 781857029, + 757787644, + 678927853, + 522481343, + 695726243, + 171134351, + 493202818, + 508581586, + 399493312, + 743745851, + 367907266, + 569185189, + 334914428, + 409358203, + 583800104, + 614518027, + 684660762, + 575832, + 84581676, + 696573066, + 300054100, + 861641350, + 805471511, + 566386651, + 859308511, + 955579608, + 795853687, + 399302433, + 922699334, + 107011939, + 330681331, + 531111174, + 613161787, + 588447838, + 776468559, + 319031988, + 897444086, + 904050267, + 44163812, + 793533073, + 129119245, + 79640010, + 80457533, + 715494396, + 163011946, + 666996981, + 623957701, + 948683850, + 646836834, + 45914075, + 751909710, + 393597030, + 989813117, + 53976933, + 58852914, + 407051678, + 237759429, + 591126181, + 552615834, + 258926681, + 397002565, + 712255454, + 460756184, + 555968941, + 82551046, + 397908341, + 975637687, + 226315469, + 613995726, + 761569069, + 691707774, + 232158030, + 516991800, + 861202540, + 604615899, + 482615942, + 42169926, + 415927194, + 176547303, + 283256849, + 466679486, + 871346863, + 803667359, + 127784679, + 403070481, + 251376881, + 288304714, + 237565063, + 635937530, + 837677030, + 973430536, + 138622287, + 345801904, + 566908256, + 207177715, + 765399502, + 186676109, + 308814751, + 999385648, + 283548388, + 925754910, + 477304251, + 301331491, + 469556020, + 851016568, + 921441632, + 950958756, + 934150407, + 777927592, + 206037758, + 707553691, + 532837600, + 277751833, + 239616929, + 215502565, + 400499284, + 759022669, + 684853999, + 579304186, + 825319189, + 982605613, + 557362588, + 864889364, + 818001390, + 262246786, + 666190354, + 303037119, + 634058718, + 458250180, + 730089384, + 25073099, + 201942263, + 371400416, + 455099861, + 480574689, + 838908508, + 78937132, + 650686309, + 134227920, + 611215201, + 662554011, + 417283355, + 69853065, + 826949645, + 891557007, + 195499529, + 634090769, + 224524134, + 557334479, + 657915709, + 103678193, + 826842833, + 597643731, + 963011767, + 832278762, + 710240957, + 944055420, + 109440396, + 534805631, + 86756687, + 263558710, + 531054638, + 759695553, + 429034301, + 194042189, + 723770632, + 226463842, + 959398312, + 594781355, + 381289548, + 987440787, + 240466640, + 289352068, + 209633412, + 84088109, + 221406416, + 261534703, + 487262113, + 893555699, + 49727026, + 758270531, + 440537927, + 693422199, + 125709750, + 694556174, + 524262602, + 136776658, + 222599299, + 282197189, + 316303308, + 881595146, + 311829581, + 685211921, + 660411260, + 107858599, + 649385801, + 160764717, + 463709625, + 239557001, + 450710191, + 655041183, + 233864053, + 721870953, + 720674397, + 612582625, + 30237916, + 332824078, + 927775495, + 429255452, + 315826481, + 44924671, + 1632733, + 427349153, + 299446153, + 536876098, + 794702743, + 571765087, + 937955674, + 879867155, + 38268995, + 948776618, + 830918249, + 421916984, + 93474830, + 366358544, + 71673456, + 160592027, + 825980392, + 97331393, + 926344840, + 291628927, + 764275797, + 62976013, + 862901408, + 778186302, + 218566311, + 507546530, + 403691673, + 402276011, + 489594848, + 72859078, + 929263493, + 985535621, + 491990909, + 40310327, + 639147636, + 109283815, + 614489813, + 152849722, + 985346813, + 550108062, + 615077055, + 331015757, + 262712602, + 923347104, + 991210218, + 35634196, + 416254915, + 69705296, + 29164375, + 906825081, + 480680483, + 639854940, + 326317508, + 745836601, + 920679994, + 468841364, + 889349557, + 658222426, + 89914959, + 222324311, + 808749231, + 286389297, + 500293440, + 999131491, + 658274684, + 170054527, + 609522251, + 350391180, + 797925628, + 933002381, + 676038769, + 69680793, + 200293054, + 175443543, + 972069963, + 937761872, + 787227143, + 972448618, + 544377855, + 597421304, + 113072731, + 43878668, + 626305961, + 428290313, + 214228782, + 268868660, + 487196138, + 250829040, + 851886275, + 324614011, + 792849914, + 248864575, + 830669461, + 176179204, + 234297500, + 690942664, + 684491603, + 527921792, + 932188830, + 704973666, + 746280595, + 711769802, + 320866376, + 942701559, + 767508423, + 14403596, + 309979060, + 739160281, + 749485580, + 817225519, + 529906225, + 1142328, + 258508388, + 292136958, + 489424182, + 620510235, + 805788649, + 537540126, + 141900479, + 265990217, + 878897486, + 811007010, + 221247335, + 136057364, + 132385717, + 663304201, + 705502213, + 159518189, + 62428701, + 896269668, + 565330184, + 523216562, + 308874536, + 401056765, + 421797868, + 558290064, + 251506405, + 677369110, + 871955689, + 804859693, + 414125018, + 518154459, + 716471676, + 828714958, + 929640771, + 851886835, + 28864389, + 13329733, + 436416482, + 892515573, + 703609216, + 302110312, + 873889910, + 89743727, + 189945587, + 377477672, + 225405651, + 695626637, + 471369624, + 122456937, + 582448871, + 699335272, + 28199052, + 558150224, + 357619669, + 367398709, + 690872423, + 151493886, + 146550356, + 415646465, + 970717198, + 30688595, + 916347249, + 688123457, + 772741299, + 257742295, + 16874089, + 613611520, + 977352271, + 244690699, + 983032262, + 464891062, + 127552597, + 217927317, + 703447646, + 417562767, + 813248281, + 446517485, + 795732289, + 376956185, + 905642438, + 937927833, + 199794998, + 983062219, + 709445263, + 876619589, + 858399344, + 826898086, + 185065764, + 888959001, + 6753513, + 983157419, + 978176091, + 467673220, + 841158021, + 65760688, + 441862907, + 225514888, + 414710599, + 48483932, + 357765080, + 455300000, + 573009950, + 114054312, + 630263741, + 942846532, + 608134306, + 485310252, + 656209820, + 695474766, + 532939744, + 867105412, + 325437139, + 923580059, + 131705618, + 108276195, + 958710003, + 625676290, + 245607319, + 724375610, + 169969437, + 109631770, + 408869434, + 74777037, + 343337651, + 864273026, + 963233796, + 611031576, + 262466173, + 388503915, + 473057168, + 91780949, + 64076062, + 165364076, + 280500121, + 25482147, + 404464413, + 186447069, + 863420168, + 315743204, + 319631421, + 737802783, + 999023723, + 868070650, + 347098762, + 342376240, + 127664225, + 883140574, + 943350526, + 906501003, + 796710086, + 689405738, + 15682480, + 142103341, + 130196063, + 803607098, + 979724576, + 662988846, + 173320091, + 632428762, + 64490504, + 331002556, + 138769136, + 733308826, + 721673361, + 514428221, + 421757756, + 495084702, + 443217709, + 91779166, + 168063047, + 653259349, + 659920567, + 523958696, + 110564873, + 38109922, + 695630571, + 220177351, + 850042884, + 634320746, + 865702399, + 852431006, + 117803561, + 634874846, + 922687852, + 835948236, + 994704580, + 759656552, + 303231365, + 443059814, + 850646492, + 858103444, + 84971821, + 488574348, + 353176569, + 434615677, + 574481059, + 979660060, + 379856429, + 217819498, + 233195388, + 403029131, + 964035749, + 508466420, + 815448090, + 632544668, + 490475444, + 378456235, + 48336836, + 656107281, + 285194907, + 563958842, + 844279581, + 319783385, + 38134797, + 606268558, + 709664562, + 150615120, + 791928493, + 872140223, + 726922407, + 920168155, + 395440568, + 339324359, + 37197099, + 832755052, + 39524151, + 216349392, + 640740033, + 586217933, + 992543156, + 29361668, + 743797058, + 300668788, + 31805339, + 61161378, + 207564607, + 752813300, + 281613063, + 351305187, + 264533014, + 120946241, + 414888638, + 763059773, + 236341819, + 153782726, + 467791887, + 102796823, + 913755259, + 28611466, + 625487617, + 400799812, + 354955600, + 954800329, + 147425650, + 345307262, + 414047907, + 299916843, + 809553400, + 622724863, + 563077761, + 409248405, + 217181086, + 154165808, + 387939180, + 66919547, + 263192439, + 52482756, + 100986340, + 611388948, + 959266272, + 299654808, + 73991986, + 432843148, + 506818650, + 314083677, + 626793674, + 990875964, + 133357865, + 100737104, + 565138255, + 447835122, + 646016895, + 129639526, + 865203133, + 243949290, + 180635629, + 455804564, + 620172148, + 774127262, + 586600978, + 45493328, + 982667994, + 334670139, + 589171730, + 104718985, + 236218869, + 943510201, + 187272946, + 11806464, + 257200591, + 226688115, + 931999703, + 802772525, + 68554126, + 426554423, + 284561093, + 528223042, + 633638208, + 141421337, + 518606315, + 362429031, + 656441999, + 710120582, + 669143937, + 125036247, + 16382720, + 651473338, + 593577370, + 78221298, + 294785061, + 814926071, + 100018350, + 412182430, + 272879389, + 79512662, + 590394388, + 541446497, + 557608324, + 144820076, + 902995173, + 641678122, + 451051454, + 952661211, + 456454436, + 769811394, + 979806610, + 697132782, + 209790219, + 915828287, + 524077709, + 930434222, + 649803731, + 753915091, + 119030227, + 925041698, + 591558273, + 559324551, + 680042590, + 856937310, + 332831608, + 732450608, + 315349113, + 651846899, + 836164793, + 561362650, + 665556097, + 242256528, + 961688656, + 660636940, + 543349559, + 68253275, + 968519451, + 612859112, + 366433954, + 289292399, + 368903169, + 739068016, + 511485827, + 38375135, + 92897007, + 808255138, + 321966660, + 521630559, + 366991230, + 107976879, + 863584012, + 291846078, + 971738005, + 580909849, + 972071470, + 307152252, + 437075702, + 734978222, + 678217304, + 89889168, + 412756984, + 30794476, + 129228774, + 229966969, + 881992849, + 886949055, + 342076186, + 945521303, + 466537662, + 442928461, + 524043244, + 866433946, + 69723368, + 84819776, + 956442870, + 826203662, + 596192829, + 155556651, + 326438216, + 642567058, + 506074538, + 985879459, + 415328555, + 825977083, + 356526561, + 412833909, + 983475287, + 402844668, + 222673328, + 667746111, + 88335, + 334670335, + 186244458, + 705803593, + 149610274, + 578128623, + 656565232, + 821037087, + 493369825, + 333606060, + 713062893, + 52867007, + 50453348, + 72012328, + 124708094, + 316292502, + 494121237, + 618518228, + 936229617, + 396833072, + 701226853, + 460130898, + 460420957, + 425879218, + 897549123, + 365618042, + 535534433, + 386313888, + 279446014, + 98908916, + 911069855, + 197404652, + 323965096, + 703242353, + 950613079, + 622073237, + 790866534, + 683714703, + 365397913, + 627884163, + 496115425, + 238238419, + 331380084, + 448316261, + 814197834, + 864835816, + 657283935, + 632585702, + 730338847, + 162987065, + 420666371, + 601255937, + 751592984, + 682995408, + 672578076, + 676003829, + 260867174, + 814204727, + 60658645, + 874973292, + 542403524, + 538641613, + 715979569, + 517727372, + 360560699, + 933072414, + 409835321, + 994175753, + 624490943, + 425573674, + 856114331, + 499028367, + 496706754, + 384402113, + 875296052, + 320736484, + 985358062, + 137606207, + 635016806, + 895064952, + 910471231, + 286731309, + 583639987, + 312254013, + 23351156, + 223573833, + 231697587, + 913972019, + 588856968, + 289164451, + 952657985, + 56514426, + 443961193, + 748385507, + 783305454, + 227503834, + 918796591, + 211350830, + 926959253, + 307469751, + 937490055, + 652599567, + 804542573, + 683175920, + 583120721, + 348232648, + 252793995, + 905129641, + 545840268, + 135262932, + 279796030, + 697961521, + 912946580, + 677180053, + 558865595, + 892120597, + 732538916, + 239622552, + 659529771, + 64348669, + 194646212, + 799512265, + 380084958, + 997828410, + 443069777, + 319116170, + 859655, + 760466474, + 102433733, + 397852824, + 445257080, + 255190290, + 710414135, + 879518521, + 866933000, + 505433697, + 768443657, + 614584561, + 13114318, + 41067678, + 751625699, + 246377897, + 121730467, + 464573398, + 961529099, + 695150345, + 596470153, + 70299717, + 329567356, + 360739005, + 891708866, + 321887923, + 528588112, + 869050551, + 432183062, + 551308129, + 889102543, + 64056587, + 814105749, + 572849910, + 514942417, + 256362972, + 895551660, + 111152934, + 46202697, + 522605913, + 319169115, + 482996753, + 540976797, + 90594092, + 277816433, + 619986931, + 644946253, + 785542655, + 393118180, + 562435030, + 299358641, + 865988389, + 279569714, + 317306404, + 367811344, + 994319821, + 69771629, + 365322102, + 676624544, + 869878468, + 947011790, + 259446984, + 798553214, + 193157736, + 82004334, + 240904228, + 306241642, + 608522820, + 441950066, + 72584146, + 46955653, + 874884561, + 215898194, + 160981070, + 454524520, + 470765465, + 732686821, + 162614854, + 800720567, + 11393600, + 61747714, + 267991038, + 408159318, + 253256961, + 695410822, + 906477182, + 638048170, + 52192456, + 797050481, + 31414012, + 914355121, + 836022385, + 579401981, + 444541348, + 130310304, + 597434549, + 216333820, + 705433333, + 920473825, + 674064691, + 318799030, + 719267304, + 110914796, + 855493851, + 797029490, + 789915141, + 131560992, + 726332702, + 297539891, + 276154017, + 664756231, + 317467178, + 926510643, + 873485250, + 156373017, + 897072599, + 86354322, + 102952679, + 113599135, + 350571070, + 190103607, + 820326638, + 564642599, + 954792737, + 621794314, + 569099223, + 109760971, + 694271918, + 407637669, + 653580050, + 446869863, + 22622101, + 407383992, + 678539798, + 648661199, + 627676734, + 47253040, + 137969364, + 386710064, + 92123346, + 778485489, + 155339330, + 169205834, + 451290497, + 678816085, + 682924058, + 195107805, + 379695210, + 438749049, + 404098797, + 689127754, + 277009286, + 972012276, + 620034900, + 937045546, + 126988228, + 880181901, + 645719463, + 7484471, + 183521962, + 243113618, + 794877893, + 739381923, + 785285842, + 860597950, + 557679723, + 420421739, + 135577877, + 797955392, + 259967586, + 10284984, + 319743978, + 212226708, + 57161610, + 631996999, + 44664747, + 375825475, + 518807641, + 49850652, + 593627241, + 667261356, + 873366556, + 220620718, + 730051929, + 780645822, + 639171262, + 118982350, + 516881388, + 697238823, + 111159130, + 5309780, + 94615398, + 744978639, + 646328127, + 322422428, + 861151214, + 744957294, + 533446258, + 586921489, + 279567194, + 634356441, + 13354743, + 968033930, + 784016190, + 963335521, + 390928660, + 561807264, + 656514967, + 537954042, + 417717415, + 681562930, + 206744976, + 232869441, + 291813145, + 631667697, + 380938134, + 609139059, + 927497046, + 259066983, + 44304759, + 482519440, + 433381055, + 212838454, + 255114963, + 676814328, + 534083123, + 114515705, + 658559578, + 677336240, + 819197877, + 469745866, + 327975716, + 253589930, + 230633489, + 356295266, + 490159376, + 978858616, + 55543276, + 268478496, + 487512416, + 407075560, + 225931026, + 124608654, + 27609072, + 926069567, + 150496858, + 454482375, + 601087380, + 416732994, + 603174813, + 811044233, + 964304594, + 71086763, + 974753871, + 838075457, + 921599061, + 205972975, + 409965194, + 72838056, + 292290751, + 53682127, + 182033517, + 127696384, + 670598146, + 819599190, + 318587142, + 909002182, + 195599617, + 577596322, + 259828490, + 167798037, + 458966039, + 786594878, + 357303948, + 429479640, + 745432357, + 184849031, + 251353720, + 557904512, + 298548708, + 220028369, + 339142691, + 247609685, + 236627203, + 609234625, + 466842732, + 787887082, + 51850892, + 905760001, + 187672640, + 675367682, + 329645424, + 338150060, + 569144281, + 641343174, + 419830881, + 554578661, + 568089090, + 200828316, + 749123665, + 723837373, + 664234571, + 384976114, + 540311658, + 624903566, + 329303896, + 356923995, + 215647556, + 512846226, + 934960870, + 915227807, + 893357593, + 628580842, + 138941801, + 499039833, + 145729775, + 924146523, + 192771927, + 424711046, + 650156042, + 485894293, + 447550896, + 873012795, + 181343395, + 394447265, + 662082518, + 377161172, + 80522759, + 929687211, + 146060910, + 212747210, + 384759104, + 872206866, + 72895856, + 987114098, + 282636087, + 835920041, + 461401168, + 604939327, + 34607047, + 554576062, + 123802863, + 385191337, + 897493567, + 173325079, + 627255978, + 461574670, + 957565805, + 577493571, + 259339878, + 801704543, + 577823155, + 27751917, + 303801050, + 905144614, + 18800650, + 765608591, + 23461802, + 394673264, + 481402720, + 440709996, + 791094131, + 826399675, + 348779381, + 737296056, + 647561172, + 887497770, + 535825711, + 627559243, + 701261119, + 490593800, + 911616880, + 875009832, + 633530613, + 849099437, + 513216190, + 974014316, + 334827231, + 551649428, + 321019835, + 259800720, + 909298892, + 2989620, + 289912454, + 123233798, + 166671367, + 592503741, + 459661918, + 736546448, + 558150914, + 165459991, + 96092449, + 842355536, + 114668567, + 84946560, + 137337230, + 503873974, + 823903357, + 690902118, + 690626675, + 626897175, + 164607283, + 320889242, + 50011343, + 127755353, + 430451680, + 300211173, + 427592558, + 328410620, + 226799466, + 574417349, + 854231673, + 350680094, + 675775762, + 177508305, + 620542375, + 143947090, + 416184710, + 887184828, + 895119644, + 652848913, + 153104910, + 919880955, + 883005557, + 787837531, + 216705858, + 756964219, + 270155939, + 232113706, + 171910521, + 244713279, + 819551208, + 797188853, + 714238660, + 941802280, + 731701702, + 547181071, + 366982297, + 489483443, + 469586935, + 996289406, + 918974786, + 771079459, + 658655802, + 283641500, + 551862865, + 2351208, + 841219132, + 702142668, + 421063136, + 979635820, + 898228114, + 596467748, + 106193108, + 125005636, + 132099025, + 208870913, + 35046893, + 113352656, + 428530969, + 195723454, + 711429404, + 641959542, + 809958628, + 743897236, + 259479536, + 227146695, + 253342035, + 61838387, + 5795974, + 423948939, + 854407646, + 66679715, + 819541670, + 982856870, + 779745640, + 424009568, + 678339871, + 270516766, + 673337752, + 770973685, + 20942047, + 30944454, + 453219694, + 917241787, + 836822204, + 627177389, + 584114513, + 413031704, + 422075571, + 38663092, + 610854081, + 743200341, + 464997624, + 703571229, + 136046584, + 994945642, + 568951029, + 385882524, + 765717828, + 476509896, + 940774087, + 127219979, + 186570447, + 709676610, + 489585499, + 1443236, + 597599525, + 322795455, + 342348303, + 474424537, + 593169833, + 742690936, + 625851396, + 411749664, + 350233742, + 80237999, + 538058327, + 39263825, + 333349607, + 875895564, + 18747541, + 444239139, + 965276407, + 666501965, + 920214448, + 85320486, + 919559051, + 92676310, + 946942202, + 813780944, + 184868264, + 836615685, + 426961616, + 656944087, + 390292997, + 776322841, + 444774502, + 799062032, + 773675673, + 469943891, + 867788472, + 604395078, + 398762254, + 114826469, + 560177600, + 631547006, + 185882407, + 586606962, + 277309594, + 328219927, + 801181339, + 98624434, + 471654779, + 814972017, + 476202924, + 762447762, + 387936519, + 555272470, + 657758930, + 679362272, + 258080662, + 51146410, + 300217713, + 581637852, + 888315118, + 383516978, + 399828867, + 969535486, + 675905811, + 31466996, + 302303187, + 77068864, + 157281984, + 166431492, + 369433553, + 717900129, + 795643852, + 414455989, + 478177603, + 824658223, + 691652692, + 377296825, + 170109237, + 625296438, + 635765545, + 62921760, + 684432833, + 454730336, + 788369280, + 371065401, + 679626059, + 396261570, + 848030403, + 796328586, + 807830466, + 166503944, + 58903384, + 754929429, + 785731882, + 258898570, + 325158677, + 911851784, + 881641879, + 242285897, + 74214998, + 877514547, + 283643987, + 570003855, + 672502650, + 635011935, + 384251142, + 742272896, + 671682847, + 182786576, + 235181706, + 119850480, + 928337602, + 956480100, + 385775917, + 756474847, + 80113207, + 298287164, + 481212861, + 579690928, + 619058875, + 927351804, + 656379429, + 817890360, + 406204759, + 90389579, + 274033354, + 224695927, + 542152915, + 150434443, + 843586896, + 293148839, + 154552108, + 645768578, + 288541661, + 600938933, + 197726130, + 875108493, + 156011402, + 823560887, + 609682975, + 230304845, + 948083694, + 91734809, + 832432120, + 391705039, + 372425210, + 304451490, + 813269367, + 301247837, + 753118233, + 467555492, + 405519905, + 250686002, + 298338313, + 340027905, + 753744201, + 742890590, + 803775433, + 232789500, + 259411870, + 795513084, + 367178795, + 340840830, + 225548531, + 533916112, + 717231374, + 296856585, + 448298873, + 218987194, + 297521247, + 632568643, + 58610839, + 205930254, + 809079897, + 168478252, + 182378498, + 591510822, + 421923122, + 482270448, + 911925825, + 846502901, + 589631102, + 41847154, + 216377025, + 231226297, + 27005902, + 637769424, + 255163945, + 502841172, + 622962497, + 655161523, + 75953562, + 167580681, + 543464759, + 477808433, + 352505861, + 562525485, + 269529512, + 553773987, + 403207609, + 351198466, + 391127893, + 969124675, + 720844546, + 650646949, + 709807198, + 696739881, + 941643240, + 560668841, + 197009119, + 842696359, + 478965105, + 405021624, + 416249347, + 462494658, + 551509551, + 7712305, + 975878289, + 442681025, + 993139279, + 759536424, + 543389648, + 176666397, + 501543846, + 708344410, + 577239237, + 610206485, + 723784393, + 106792669, + 529996148, + 148341243, + 252758591, + 104845275, + 164578758, + 554993768, + 341862314, + 570471669, + 158267010, + 675262496, + 932698519, + 110763450, + 781341649, + 110310876, + 941157979, + 335312233, + 258714923, + 676977836, + 998414953, + 738699134, + 744135135, + 859372106, + 43429391, + 575377689, + 204724476, + 107009627, + 947911586, + 15869346, + 185038225, + 444621971, + 563099458, + 986588469, + 181151652, + 113726489, + 802213203, + 218527562, + 796958915, + 783882962, + 780502635, + 49275560, + 231598484, + 362894780, + 276183626, + 625756056, + 439591964, + 908850264, + 372220574, + 635558262, + 173393292, + 805333557, + 411584307, + 577734571, + 657025679, + 55542705, + 552564650, + 750785670, + 849141994, + 719578091, + 917739002, + 89908785, + 69455345, + 568377575, + 580260708, + 908439174, + 897744100, + 282636764, + 623985599, + 160118743, + 48683448, + 272830682, + 603536167, + 319262460, + 75681071, + 887491630, + 825789688, + 730043097, + 941109105, + 417295007, + 953560569, + 463694234, + 239006976, + 370067410, + 809420022, + 442306713, + 345805294, + 290326251, + 663008784, + 804091273, + 144706462, + 49277925, + 692802773, + 139154327, + 248501979, + 212967463, + 229923910, + 816521422, + 338249787, + 736145999, + 929710810, + 792077164, + 848377612, + 369579188, + 716557408, + 565126946, + 504184837, + 669561120, + 958230595, + 136120636, + 82785331, + 967169522, + 368370448, + 82788764, + 349907686, + 880706675, + 314768269, + 602917099, + 292040982, + 689780537, + 775555000, + 186388852, + 53356013, + 259084139, + 889727743, + 977935918, + 590902354, + 564318905, + 888146839, + 434348180, + 162753917, + 306934182, + 657605837, + 281826696, + 156231281, + 178503497, + 960122313, + 118852907, + 678748511, + 816320858, + 20189644, + 550428175, + 579870494, + 585488079, + 504063431, + 628328306, + 753047340, + 614501165, + 504162618, + 454987754, + 861229313, + 20160608, + 501696146, + 806409907, + 6919524, + 933765222, + 508417063, + 750077412, + 922599538, + 129059489, + 42034339, + 658971765, + 990659241, + 753959682, + 235322914, + 467435340, + 60561543, + 659495361, + 331518899, + 941342485, + 238453278, + 269713234, + 35418962, + 615509261, + 596688092, + 209502521, + 870976832, + 489625610, + 137566968, + 7339360, + 950115254, + 887409324, + 124228550, + 264631775, + 836728561, + 385563947, + 520875683, + 769607608, + 620859571, + 770663243, + 901597618, + 831253556, + 409038628, + 949321001, + 97493248, + 985622540, + 745249637, + 121263802, + 418578966, + 401434237, + 943632838, + 870388272, + 656892166, + 70607572, + 481100706, + 891547394, + 661208723, + 686294341, + 50301254, + 928125430, + 647796178, + 219009988, + 256894817, + 757659514, + 35710526, + 543669638, + 649380493, + 87812898, + 886341723, + 653448763, + 831185727, + 59237524, + 880073479, + 426967573, + 682752710, + 393475179, + 791402228, + 100429173, + 895043820, + 519685094, + 435289464, + 63268264, + 222981613, + 586934130, + 219946627, + 326014124, + 720844972, + 69205971, + 751185606, + 984191240, + 905429109, + 932822023, + 447268020, + 920422821, + 748584619, + 4630263, + 634656595, + 447385985, + 956848726, + 261006887, + 54989379, + 404841551, + 697667794, + 74532632, + 732600633, + 601728695, + 768454286, + 919088173, + 979915187, + 267299213, + 898496394, + 951293113, + 497152370, + 239385211, + 224400973, + 800734808, + 590240940, + 601681780, + 358271366, + 201591433, + 191817467, + 29991814, + 456587997, + 698747433, + 488217725, + 747660236, + 928936298, + 128542204, + 741443821, + 225023819, + 735034740, + 70724770, + 1646273, + 988490251, + 245322182, + 482837911, + 552467882, + 853119315, + 686318174, + 618746117, + 928227495, + 333582023, + 300243931, + 336478037, + 986394858, + 788013784, + 911264017, + 541449491, + 874561718, + 924167550, + 24330452, + 708056581, + 933697008, + 801901448, + 366141358, + 990467090, + 723730440, + 686255749, + 451054324, + 575963693, + 995500499, + 270875822, + 484587253, + 56066232, + 232872965, + 880421704, + 492937357, + 324017720, + 965225281, + 57164794, + 666520521, + 418964865, + 328039111, + 343888249, + 741245988, + 557328849, + 405327858, + 102171260, + 464451944, + 136565691, + 735941584, + 9426223, + 546773591, + 185343008, + 58159322, + 57720213, + 518236562, + 854747925, + 335118930, + 547457860, + 334386770, + 684316156, + 577948686, + 578554494, + 449501710, + 483329038, + 13115415, + 10576036, + 598112184, + 369967193, + 439275446, + 48486010, + 951811357, + 10956486, + 210391001, + 665911484, + 370913759, + 969912885, + 191297205, + 171338558, + 987401292, + 306686616, + 380225618, + 557150079, + 908958890, + 92407071, + 622849368, + 901605450, + 501324825, + 411893001, + 486231194, + 76794408, + 151944512, + 895214832, + 370720469, + 175464887, + 967403099, + 195754213, + 45207711, + 382329183, + 365128656, + 244368179, + 296917725, + 60342057, + 356988798, + 707735928, + 844591244, + 697253443, + 763401059, + 883614664, + 713510305, + 769360856, + 898069158, + 455795300, + 993624297, + 637229075, + 912348098, + 461576850, + 331296406, + 391385762, + 376072761, + 767221291, + 887280720, + 563397679, + 996624332, + 552796969, + 390587838, + 784414927, + 251439043, + 623413502, + 398755555, + 857660575, + 865296809, + 298532027, + 604387977, + 792774909, + 134896495, + 887684076, + 652331234, + 430157182, + 523386290, + 809655682, + 388286779, + 775644888, + 761828453, + 767616630, + 211517247, + 882379655, + 214128765, + 73659053, + 84672046, + 888096838, + 818836160, + 610136320, + 566776336, + 53591649, + 161440735, + 848208206, + 678210677, + 895039787, + 249525153, + 275801780, + 385811820, + 36587030, + 544909242, + 137037701, + 403009653, + 811217222, + 916071867, + 11036614, + 334238332, + 448465205, + 878746344, + 115402531, + 667282659, + 412706944, + 942913411, + 203924151, + 245317671, + 670120514, + 332087399, + 116256747, + 908736290, + 837807539, + 691432118, + 494539906, + 123015003, + 613080528, + 674381879, + 10045797, + 407579800, + 607064713, + 623203825, + 538873656, + 567451080, + 107072883, + 325783589, + 932514673, + 465210199, + 185099822, + 718441180, + 283895976, + 197619583, + 175023908, + 649455062, + 944312074, + 515927006, + 726912101, + 339327562, + 543916862, + 829906194, + 108809742, + 26366797, + 154802754, + 674713035, + 82991680, + 791066841, + 811252369, + 39694931, + 470385497, + 889067910, + 693919051, + 100461462, + 604076231, + 915400240, + 597691644, + 850823921, + 350938437, + 202841347, + 434629485, + 890691573, + 366442987, + 83261931, + 404186868, + 627403505, + 165444841, + 819619854, + 329928806, + 952909364, + 353866108, + 736173093, + 260606388, + 735748986, + 566646948, + 492054274, + 138349980, + 540224499, + 614211567, + 98241539, + 516768194, + 98039352, + 231507108, + 325037696, + 859297363, + 766527945, + 732588903, + 159042797, + 333471430, + 670882081, + 110713335, + 246626641, + 668787373, + 302156527, + 807633970, + 646236761, + 469328975, + 661117685, + 571716013, + 774810694, + 203427768, + 119938479, + 315003547, + 602432579, + 564776564, + 390950344, + 946446471, + 247002363, + 861299576, + 921249430, + 11567576, + 833509471, + 957965625, + 287442462, + 946468092, + 559613549, + 820115485, + 786665940, + 365413169, + 37335069, + 595802888, + 351460393, + 995403477, + 258531273, + 429947783, + 458128753, + 58521654, + 531297797, + 999713614, + 98999647, + 499889442, + 300066058, + 949672483, + 219968673, + 405867023, + 844785871, + 125305984, + 88483777, + 730030604, + 966010260, + 653186265, + 936250054, + 338125684, + 304312684, + 248760642, + 996374552, + 757017067, + 11992666, + 465590865, + 296632425, + 179198389, + 939794171, + 563761330, + 396727205, + 615303663, + 809783226, + 878916310, + 472632942, + 387105198, + 559978693, + 508878350, + 866002959, + 222880250, + 555629180, + 657701745, + 245655496, + 194031571, + 250352452, + 36348499, + 593289180, + 160503410, + 341368159, + 506849603, + 419989635, + 692592449, + 67959855, + 30722487, + 726862569, + 68011459, + 887272636, + 648246519, + 302143968, + 11166347, + 501832105, + 10752737, + 936581358, + 539301720, + 141661947, + 695743148, + 526622548, + 834091317, + 719885165, + 124351451, + 663179605, + 317123440, + 296772198, + 237218234, + 332528047, + 163055049, + 209966672, + 765570226, + 287898654, + 661527397, + 156627488, + 480977593, + 671071696, + 590745910, + 134963852, + 275216327, + 996818326, + 613796596, + 194438333, + 336656011, + 544374207, + 973475813, + 539688027, + 678455136, + 690657547, + 921908014, + 528290630, + 839967283, + 151584452, + 732596874, + 495843446, + 941381590, + 780490369, + 834553417, + 253507148, + 909617857, + 346199140, + 892463506, + 18736290, + 244182566, + 183614392, + 244448021, + 102536197, + 465531758, + 721454136, + 804154265, + 578459212, + 727191744, + 234526706, + 458036611, + 745324145, + 212809774, + 939329167, + 558322793, + 686237182, + 465690551, + 758727832, + 58470321, + 621548009, + 258051478, + 614680952, + 476194201, + 601734746, + 796977021, + 118504284, + 31390794, + 358923814, + 480852403, + 3831085, + 513577593, + 424368251, + 339598414, + 269514604, + 766718771, + 944318412, + 858994897, + 75289284, + 170410253, + 29519955, + 520515730, + 469687788, + 633303116, + 990497355, + 325167870, + 550847730, + 140751732, + 450575616, + 396515781, + 794958108, + 776549143, + 706957470, + 921813304, + 811361222, + 630910650, + 174701961, + 590526177, + 676602876, + 149261647, + 554566391, + 633755129, + 19095875, + 608484778, + 234138702, + 381591406, + 651403233, + 747566384, + 933067885, + 253523396, + 307356742, + 476004520, + 145586731, + 177759478, + 135780158, + 953245998, + 76384609, + 241435306, + 881403715, + 905244188, + 842422005, + 617983850, + 944381610, + 462246273, + 966492081, + 934429864, + 842987250, + 950935989, + 711424157, + 299546742, + 688827548, + 738190854, + 574413117, + 676095553, + 574015896, + 741718254, + 751481621, + 432357116, + 260864806, + 655998961, + 770761456, + 273941326, + 360473044, + 612348390, + 173057240, + 287242032, + 282187659, + 246877878, + 232522499, + 320126814, + 533270196, + 812909366, + 885771285, + 210485997, + 525414848, + 878486975, + 119227042, + 35191770, + 983810980, + 568853996, + 912903439, + 951261852, + 898466728, + 594765429, + 695111842, + 364844759, + 79135125, + 815421010, + 159164806, + 819188100, + 662592801, + 340074258, + 654452447, + 980546017, + 984931806, + 337189927, + 57207171, + 685347986, + 78391590, + 840114054, + 388067325, + 270561656, + 89513581, + 806317090, + 465287692, + 590492558, + 130903401, + 531698006, + 484540677, + 188143912, + 384258830, + 499491235, + 109879738, + 482698812, + 307338820, + 20239785, + 978046260, + 497384198, + 271422425, + 330764669, + 376647163, + 9176567, + 860505292, + 873555595, + 701885829, + 801750355, + 15249149, + 576471011, + 639194711, + 334565762, + 282666503, + 694138710, + 839544612, + 76912267, + 806768370, + 610392575, + 37668266, + 603920674, + 109729765, + 39904926, + 870253981, + 828795385, + 43315484, + 846228159, + 925372794, + 591546770, + 727650437, + 29313655, + 896657059, + 155687473, + 146535940, + 946416071, + 520977226, + 856571671, + 259836483, + 372385906, + 299298268, + 975818880, + 103283100, + 768893544, + 259509164, + 174994002, + 758521052, + 855717334, + 541686312, + 7425253, + 470343952, + 293224257, + 250328388, + 464955853, + 496008969, + 635530890, + 440218795, + 341341651, + 665732677, + 405265387, + 426222437, + 3947841, + 407419729, + 97480774, + 127344215, + 909068964, + 849833706, + 529960859, + 343823784, + 611955269, + 474280356, + 272371842, + 280586939, + 830284240, + 730114546, + 214504356, + 529484749, + 283432734, + 771021693, + 590571037, + 385747656, + 105246842, + 247171286, + 686422536, + 268902733, + 392441581, + 729372664, + 838304016, + 599309744, + 61581289, + 196659566, + 212614129, + 728984451, + 877740502, + 201905088, + 833843956, + 766594710, + 435965004, + 255002512, + 42360721, + 904498354, + 411931602, + 493645517, + 696369003, + 187987848, + 451882113, + 164605146, + 283967550, + 547320866, + 480633457, + 1299001, + 321704953, + 537484900, + 584055665, + 359024926, + 634252726, + 76617499, + 330759207, + 356552268, + 159389287, + 337637485, + 264529225, + 769990461, + 821483268, + 22148366, + 552443306, + 641229743, + 234331060, + 859954010, + 715736194, + 552313519, + 36161416, + 89615507, + 498023992, + 469097902, + 48162655, + 788692501, + 964961643, + 546146478, + 829238469, + 879369307, + 666749872, + 408001223, + 210660707, + 474723880, + 121949222, + 721458644, + 192201422, + 857939053, + 734935884, + 117198776, + 606842697, + 994561447, + 574979338, + 769082795, + 446013358, + 742967125, + 64239212, + 202995410, + 315694411, + 183405440, + 679759000, + 270539944, + 811105729, + 292315539, + 906899587, + 280744119, + 606467387, + 462030700, + 746254058, + 659323293, + 766081454, + 38267246, + 456606642, + 670466142, + 611187577, + 43090301, + 989708596, + 541495606, + 610164392, + 596757947, + 397028009, + 202452449, + 453432144, + 257271054, + 249461136, + 889228834, + 642555183, + 806462418, + 213483831, + 370901056, + 383531085, + 238523389, + 555589373, + 5693737, + 565832111, + 67838823, + 542629599, + 469752695, + 763553783, + 225724499, + 503579017, + 842153626, + 629651635, + 160059973, + 495122142, + 376107435, + 55085150, + 739608819, + 387833257, + 110649110, + 87390086, + 622032501, + 597633210, + 82367321, + 830075364, + 336915180, + 952037378, + 367766169, + 421108110, + 622635197, + 314112723, + 968868271, + 544987487, + 565451730, + 873197017, + 754811042, + 483569513, + 302996654, + 674681588, + 352377702, + 611631305, + 328705710, + 627155364, + 692501139, + 993050003, + 119532424, + 214491664, + 247121279, + 358658426, + 818429743, + 856165331, + 799705485, + 144024234, + 293821803, + 471678405, + 338076307, + 183020553, + 491755920, + 595439578, + 660371979, + 215288345, + 937690577, + 650678750, + 475679817, + 693495245, + 682119011, + 40560331, + 111716401, + 252304787, + 347789101, + 268095774, + 654787606, + 219462147, + 617898975, + 353421514, + 287543074, + 766942663, + 969905272, + 996944087, + 59711287, + 913856124, + 775957987, + 810206445, + 798953936, + 920805202, + 466271564, + 838582192, + 39953631, + 174603894, + 707833403, + 711421540, + 559830401, + 774604248, + 727309384, + 340014326, + 603691269, + 25680302, + 159202113, + 12038004, + 973851087, + 905123966, + 456523239, + 806674471, + 600645790, + 676200356, + 797459051, + 263226093, + 507288770, + 626007092, + 556336735, + 791517384, + 802031381, + 151430317, + 325565776, + 32092493, + 479848819, + 810641526, + 383602726, + 806345027, + 926287297, + 212227890, + 113632177, + 552086256, + 561608274, + 244186468, + 750840, + 585730999, + 924955668, + 549591702, + 800370574, + 315814447, + 350522845, + 428484917, + 793118133, + 522035145, + 320976403, + 742412662, + 621914769, + 619717456, + 699178694, + 687730625, + 579374595, + 876131746, + 411859937, + 582328394, + 330937169, + 497490757, + 113085072, + 807984205, + 992693614, + 730573982, + 724644708, + 604156133, + 154531105, + 158427135, + 39918226, + 208742503, + 877095193, + 989288285, + 630780755, + 291973768, + 302385181, + 552271705, + 800040276, + 193631038, + 25411189, + 23750324, + 249236863, + 274847442, + 94753056, + 984934910, + 69708770, + 263668668, + 708226628, + 584382563, + 725463466, + 646148221, + 25454904, + 495826739, + 338674582, + 555287824, + 599001674, + 239776311, + 234665347, + 522583573, + 315309528, + 597023464, + 486980241, + 620585710, + 540012947, + 829347998, + 973426039, + 36251066, + 924474611, + 371877586, + 105709527, + 20355310, + 296623048, + 8681913, + 255470560, + 753760163, + 189014032, + 650769280, + 707402044, + 860178461, + 311683190, + 546266491, + 612266525, + 903877790, + 52652479, + 874685874, + 178768599, + 361337981, + 446441514, + 520243841, + 76656683, + 336740445, + 327813340, + 424955018, + 30068513, + 657456522, + 537396280, + 839471187, + 495245471, + 685558612, + 206038180, + 161246892, + 437425318, + 513679949, + 790541044, + 290643843, + 229152522, + 116577826, + 304758814, + 843252054, + 669705382, + 880492994, + 474231497, + 37682950, + 923932366, + 684337931, + 813711285, + 985198700, + 211925007, + 458878698, + 324036284, + 26543284, + 845200635, + 194576126, + 190916518, + 529311819, + 300479499, + 870179003, + 113723487, + 936246105, + 152622744, + 10098302, + 785739258, + 776941730, + 395675425, + 477692753, + 9263165, + 723842599, + 682054099, + 495471914, + 7481196, + 150075988, + 542492627, + 45175025, + 393203383, + 324574162, + 395694465, + 518789983, + 846901542, + 439123617, + 316625308, + 107630930, + 991837225, + 623546062, + 919994084, + 781781174, + 815972076, + 102050828, + 542645605, + 801193873, + 910662098, + 887732950, + 746209937, + 567445644, + 806690673, + 760035245, + 572473191, + 264869670, + 647599095, + 243877351, + 1353848, + 326209968, + 262377499, + 180353252, + 888486055, + 431688388, + 675487938, + 808527844, + 285683359, + 446293649, + 711752628, + 553730287, + 724957797, + 741162757, + 523971866, + 903895371, + 668502709, + 193485263, + 295334399, + 410235527, + 736024415, + 862157568, + 881939394, + 854086950, + 28644884, + 829747754, + 569587319, + 483754247, + 145238645, + 457785109, + 467140132, + 143372630, + 171964588, + 275087755, + 368479768, + 631257597, + 719244068, + 167172395, + 518514482, + 374998459, + 174331902, + 242661333, + 502065849, + 169725571, + 318813790, + 410092787, + 930361256, + 2486283, + 667338533, + 296810959, + 324151549, + 465283585, + 422039950, + 899306415, + 577795395, + 199501441, + 912991967, + 797701654, + 944263050, + 460856642, + 605338817, + 255359096, + 30082307, + 49247185, + 691804645, + 921431431, + 702424182, + 923873660, + 690869875, + 923365188, + 994416348, + 8676347, + 718061096, + 972396822, + 182996061, + 329534080, + 259134745, + 68882078, + 393141110, + 859312728, + 370667051, + 467039490, + 663286810, + 503549375, + 654601063, + 924530153, + 503457844, + 324978174, + 243948338, + 834332536, + 460320243, + 587980831, + 674201502, + 548119845, + 171064255, + 729525559, + 286783746, + 556107828, + 659595673, + 157035742, + 10258734, + 653612821, + 24108591, + 362770291, + 684463683, + 259478504, + 387721633, + 436258639, + 320957677, + 828059032, + 833574393, + 735649958, + 750849079, + 627276906, + 567058147, + 239953108, + 748867012, + 387318925, + 366702714, + 202467147, + 88869886, + 376987173, + 682373011, + 934597318, + 8470206, + 657027809, + 494858858, + 623883278, + 53310706, + 753181664, + 128252348, + 203294714, + 3945365, + 177474520, + 893616760, + 300928881, + 68584444, + 276845256, + 253331389, + 253692135, + 668311241, + 287815267, + 534223352, + 194130824, + 937469401, + 220888060, + 378762635, + 777471997, + 406937073, + 444621155, + 373361949, + 591204408, + 790981586, + 10199957, + 23160845, + 156764152, + 545552236, + 113653949, + 430064816, + 378637048, + 281688139, + 94565633, + 285725339, + 992609330, + 764309975, + 446723939, + 544743618, + 563492303, + 773917756, + 893593926, + 978432444, + 591596816, + 652377504, + 741415639, + 57258649, + 402829177, + 389285709, + 864106942, + 684869504, + 833772901, + 483990062, + 241114631, + 817081975, + 851753574, + 999109104, + 860298678, + 83233396, + 513197245, + 185979143, + 934958465, + 218108309, + 29578176, + 284294739, + 476431239, + 525767337, + 146150520, + 244767377, + 915460633, + 690605255, + 859627521, + 12562443, + 918095146, + 762617457, + 67520946, + 433646552, + 254120591, + 403137450, + 771252359, + 709897261, + 797869027, + 995838291, + 517507426, + 113053227, + 382009942, + 711902976, + 470526830, + 412417627, + 197036329, + 403487589, + 825589871, + 925589747, + 959329972, + 524552226, + 29975656, + 404035257, + 531284928, + 254699136, + 734748447, + 282180072, + 802641836, + 480780321, + 878512025, + 273327235, + 490930805, + 122829386, + 923350174, + 821889593, + 616104525, + 127645522, + 136011118, + 189654373, + 547648497, + 581480620, + 400792261, + 692975594, + 354770751, + 651840329, + 221031817, + 46716762, + 767013349, + 2528200, + 416446468, + 667187047, + 190920536, + 130867549, + 389333627, + 28284594, + 545080443, + 481139364, + 459751129, + 533452530, + 489959799, + 615162771, + 764873470, + 462745199, + 290221854, + 731607064, + 828552404, + 663905868, + 835021716, + 6956270, + 763383014, + 268836822, + 58061797, + 189126688, + 143661550, + 136630063, + 54446550, + 651108974, + 720841986, + 152587614, + 486410113, + 925046485, + 535083474, + 128855595, + 349836891, + 767944207, + 726513138, + 586066542, + 585632363, + 829009223, + 617155304, + 582702173, + 696607142, + 627228534, + 557276853, + 50049287, + 238000725, + 741891942, + 41852039, + 148335577, + 397682760, + 992159034, + 872641514, + 928067139, + 427831561, + 113016813, + 793171338, + 359691993, + 176430776, + 764981033, + 891857951, + 776585532, + 523488444, + 24111494, + 637519766, + 391112863, + 492066006, + 785612887, + 838229454, + 849884020, + 698041297, + 729251585, + 852100419, + 943054443, + 465149341, + 587202368, + 914306213, + 71906378, + 376841879, + 2861545, + 710579949, + 930965874, + 127415752, + 687267442, + 233328595, + 898022964, + 570604831, + 717992782, + 51653393, + 120180821, + 710350296, + 573037528, + 97975767, + 582259549, + 634149433, + 404678577, + 602464738, + 345449473, + 832950675, + 402536829, + 718612514, + 84364489, + 16241861, + 300805525, + 646974989, + 18445921, + 744908426, + 119643164, + 781201112, + 26519550, + 723898831, + 537509879, + 126901086, + 791303924, + 846018818, + 235843116, + 10059655, + 669049877, + 662093815, + 738816788, + 832983839, + 305323098, + 839224520, + 363890444, + 98412317, + 524229664, + 834637074, + 840397600, + 244544554, + 678903044, + 829605435, + 685874112, + 116652824, + 939981785, + 540311495, + 569250356, + 961992556, + 493173324, + 594645290, + 371633678, + 686444067, + 300029488, + 384307788, + 423441105, + 692995897, + 195614961, + 410815423, + 749369576, + 975346651, + 333380334, + 181162270, + 519964274, + 882265311, + 614531574, + 813099491, + 228390825, + 326250577, + 316427528, + 780990263, + 681621365, + 876522107, + 75133858, + 509739746, + 837674930, + 789848650, + 141850046, + 270348851, + 438419618, + 241656976, + 46593641, + 955585999, + 70115463, + 725855892, + 52018955, + 61813051, + 155533818, + 611158047, + 975792737, + 806090480, + 701050730, + 552271846, + 669986368, + 206389212, + 239776916, + 991566926, + 748287356, + 121129205, + 134697115, + 551498157, + 730795919, + 173220804, + 188642533, + 136427829, + 594458509, + 755669231, + 589094863, + 783090009, + 88369562, + 63019336, + 155312205, + 793751468, + 16013005, + 560085963, + 570036824, + 44707393, + 220882799, + 400841256, + 739127931, + 790840581, + 983592959, + 773056409, + 310921889, + 811904898, + 31472515, + 49775023, + 719626767, + 123318308, + 398063375, + 29726708, + 841646926, + 667666288, + 123973850, + 245261486, + 264164135, + 266553248, + 640785347, + 461436204, + 823620881, + 783356097, + 925072022, + 585438415, + 220108709, + 181414833, + 223389527, + 421266624, + 705630089, + 818670161, + 356977191, + 581322523, + 542184916, + 811554847, + 849567780, + 83533997, + 782721575, + 991612446, + 431983088, + 347894750, + 676536032, + 416590105, + 226777627, + 129855563, + 198042931, + 893567457, + 269181497, + 704794579, + 884170011, + 754001612, + 175543958, + 623087829, + 227090400, + 900379202, + 65173502, + 732461984, + 924291554, + 775469008, + 462798883, + 293852522, + 156933781, + 54247789, + 748268968, + 959604814, + 321185779, + 102155795, + 902554300, + 335723132, + 924543813, + 503198363, + 156904355, + 921463083, + 953021714, + 41348158, + 251357114, + 675756923, + 220503302, + 974130525, + 315387333, + 622960253, + 281990096, + 734696309, + 994519662, + 120892389, + 779033576, + 877017349, + 51019644, + 643352505, + 745054738, + 404571729, + 190535774, + 964665715, + 542206305, + 490900025, + 183032786, + 556141274, + 117579859, + 290322016, + 39444073, + 401830795, + 978655341, + 918550245, + 126203730, + 445101671, + 660785441, + 991604560, + 906620254, + 804048625, + 433190274, + 132313111, + 998068710, + 53336019, + 271221643, + 686185210, + 59053281, + 807698197, + 527467880, + 307287037, + 525134814, + 745783578, + 240477706, + 187411622, + 365800408, + 54657038, + 717871325, + 522998505, + 826300287, + 937625639, + 206807774, + 385124374, + 841882635, + 456257041, + 840270150, + 502472220, + 634167501, + 60197698, + 684469075, + 324091166, + 246537801, + 911404939, + 938963421, + 856074482, + 470517198, + 455518708, + 588803799, + 174103168, + 605169178, + 936198349, + 806686205, + 614782649, + 621944898, + 642438491, + 723130554, + 116541384, + 551215491, + 510102981, + 783898178, + 216546291, + 519531987, + 321302529, + 981670868, + 663746942, + 806814049, + 157411822, + 660622507, + 626200512, + 582293740, + 833205103, + 810942190, + 126593377, + 880999919, + 540240373, + 402444052, + 282843462, + 397314369, + 677500021, + 616425648, + 79288720, + 786639940, + 398618490, + 296197566, + 577369521, + 527680592, + 438570544, + 403798753, + 369575555, + 429534677, + 970986005, + 679032533, + 260110126, + 238755865, + 327307011, + 923594372, + 76810710, + 436176637, + 358905244, + 820682778, + 785511513, + 490613897, + 580928416, + 680884286, + 324711951, + 616866844, + 39374026, + 435151742, + 448243066, + 920599169, + 256931703, + 1378352, + 123205655, + 862226322, + 726808544, + 173157251, + 80861403, + 784968986, + 123805292, + 694601331, + 550031962, + 721640608, + 536661073, + 957470485, + 992616542, + 614849563, + 864997100, + 860350886, + 629415263, + 807302948, + 50654537, + 176520556, + 256483336, + 21057169, + 140284803, + 364396755, + 808311208, + 754096698, + 317507729, + 720234591, + 121513484, + 105109409, + 408097275, + 827961429, + 74567277, + 393220821, + 168015973, + 223080188, + 78860942, + 765871002, + 24940744, + 212519243, + 33126979, + 503446877, + 719853557, + 712121025, + 799423134, + 189718263, + 102982747, + 9090378, + 867224821, + 374030050, + 747268257, + 404787991, + 302754031, + 921061304, + 898884600, + 550877153, + 397985000, + 916771928, + 281920640, + 346754714, + 711890060, + 897549233, + 591237469, + 706880930, + 208186776, + 861209297, + 892134799, + 292943608, + 441066878, + 233628139, + 758181059, + 963770905, + 285226616, + 203585909, + 503949114, + 244625503, + 51439362, + 148257595, + 802244300, + 593754659, + 390137410, + 239804814, + 975261661, + 739550067, + 53238290, + 996958392, + 917898632, + 990227161, + 782638064, + 383069906, + 870771427, + 353607856, + 467858814, + 887190767, + 16552162, + 809252697, + 869458550, + 67232650, + 392634309, + 675700642, + 838239836, + 461603422, + 567275394, + 92362477, + 368114508, + 622687895, + 233086634, + 307123482, + 936599887, + 113514929, + 110742724, + 469988310, + 391124793, + 573743471, + 337301160, + 752490339, + 748799081, + 725602007, + 715012736, + 459366551, + 316978874, + 267882797, + 795626777, + 282541818, + 582920649, + 141855890, + 976064780, + 622635851, + 765277908, + 469567754, + 968916273, + 941988011, + 155272561, + 781624035, + 608345624, + 735361121, + 857449631, + 998653676, + 787203642, + 55801310, + 378028684, + 482803836, + 510317322, + 987377909, + 721468274, + 377644071, + 777397289, + 212008810, + 950118485, + 926497806, + 564262703, + 124722275, + 527210741, + 237055779, + 83996116, + 743395938, + 879311123, + 388473003, + 354512244, + 481981781, + 352634819, + 650079386, + 52129161, + 599118844, + 255743451, + 212986538, + 318376355, + 867985568, + 27480865, + 170512258, + 422289265, + 960355220, + 967169398, + 246861143, + 519630938, + 327863182, + 246915178, + 236606563, + 246601499, + 59287481, + 943090185, + 508211884, + 167713353, + 313713969, + 283753266, + 583841413, + 406023418, + 349817947, + 207495040, + 658270629, + 447154838, + 664281323, + 536161455, + 802694505, + 785100287, + 877142491, + 735671758, + 81141095, + 318101189, + 286747824, + 322360792, + 856616956, + 523053496, + 810371777, + 570868729, + 260744999, + 374067624, + 261152444, + 316000407, + 148960715, + 705829965, + 777199703, + 427427282, + 507984524, + 522557366, + 724887494, + 407368112, + 221457477, + 806605871, + 498800, + 516860436, + 205542805, + 692814836, + 810744140, + 501441005, + 401747357, + 407949656, + 591221566, + 988171225, + 54683455, + 213602235, + 420825020, + 299673322, + 639116724, + 837166891, + 29050374, + 346970884, + 912052244, + 889721176, + 554432358, + 295829116, + 259629941, + 484382938, + 608841527, + 291147502, + 225078302, + 128416854, + 924312472, + 136952909, + 663501488, + 14385674, + 171291340, + 410115603, + 239367818, + 728664271, + 225717247, + 565770640, + 86585542, + 920553810, + 352642761, + 778959415, + 636689111, + 23465408, + 705010825, + 851526461, + 550011577, + 425818051, + 37348765, + 825483750, + 647063284, + 570934033, + 604802294, + 254938480, + 657569754, + 334657324, + 213393460, + 420461729, + 33109290, + 446335356, + 741952748, + 233032795, + 586306174, + 602333181, + 741645410, + 853953394, + 224925232, + 115882375, + 252845491, + 301077282, + 187981426, + 965583985, + 247580297, + 823200903, + 909428087, + 716577179, + 633601763, + 260876384, + 564104053, + 807040416, + 188264882, + 348781643, + 803627117, + 244990517, + 273321004, + 725318980, + 615572396, + 39498160, + 730345484, + 474315701, + 867292753, + 341814138, + 832457604, + 905754692, + 231160048, + 527208888, + 117569761, + 964143168, + 531537027, + 582660598, + 634893196, + 106488951, + 848945447, + 789358397, + 800635778, + 316180842, + 477810384, + 632105569, + 30767581, + 596253512, + 638851157, + 589026750, + 626685040, + 738476120, + 635861273, + 314656399, + 614330164, + 811731929, + 715547184, + 368494553, + 562760133, + 41816112, + 626983763, + 8194842, + 757300378, + 345687938, + 95444761, + 8971971, + 330310294, + 138356915, + 844992711, + 780811685, + 863554316, + 662350015, + 981756217, + 661955497, + 512497854, + 703673882, + 280326017, + 676478408, + 778118767, + 682607620, + 794645990, + 600398395, + 318483546, + 999860774, + 42112281, + 681169701, + 389190111, + 374479304, + 165091218, + 179654935, + 192204407, + 339942717, + 514737876, + 326465186, + 118346620, + 512710300, + 445580637, + 725811356, + 377304039, + 461932548, + 180361052, + 807554668, + 913720589, + 265417647, + 848193485, + 185943915, + 64297811, + 950493455, + 787253268, + 559585671, + 341877152, + 175927661, + 334495796, + 373652749, + 617406918, + 448976728, + 791885299, + 938738451, + 51290715, + 295362657, + 511179269, + 22809087, + 670991333, + 557855457, + 803925120, + 765720056, + 639287938, + 890492928, + 640082325, + 299594856, + 832731543, + 388835206, + 380333394, + 443300955, + 272268885, + 571256894, + 487628466, + 691066275, + 210610707, + 129572369, + 869299345, + 333074003, + 331818166, + 133897841, + 364810809, + 120629508, + 640044402, + 833482484, + 145188128, + 250615525, + 521098445, + 849284211, + 679111535, + 61138583, + 462515827, + 107309927, + 147410124, + 85890289, + 318398374, + 789104268, + 131232588, + 471014219, + 604098990, + 380347796, + 783104114, + 666053013, + 871355714, + 669707933, + 684729362, + 678982684, + 905014723, + 659892980, + 29714059, + 607467859, + 54953648, + 652402137, + 349656086, + 762828329, + 175260487, + 105234683, + 339450770, + 434469144, + 71220204, + 237299375, + 23552303, + 427174750, + 193912752, + 554412405, + 403006898, + 477540341, + 324568645, + 947199258, + 944542423, + 155212816, + 788435576, + 168303546, + 605365603, + 176348476, + 907402882, + 628923361, + 954471946, + 183235945, + 412809346, + 500977065, + 395080997, + 250472386, + 804674550, + 962748593, + 515585346, + 823543276, + 146569904, + 351409950, + 472993284, + 245757274, + 880989445, + 295414688, + 873027126, + 427140652, + 991087376, + 824675374, + 650833659, + 470600721, + 284006109, + 482634399, + 445175628, + 382763213, + 59341009, + 959366803, + 115887586, + 841149632, + 801656037, + 159396796, + 870721109, + 894684640, + 870024808, + 142151601, + 976463540, + 176548338, + 514887022, + 96806638, + 399521456, + 574615459, + 639210481, + 504723047, + 796723492, + 619572303, + 116826919, + 94579235, + 116884583, + 153919823, + 135279771, + 415762314, + 817908996, + 88828940, + 191636900, + 426281509, + 226750315, + 334043423, + 326769652, + 44865237, + 857833884, + 735101782, + 794433634, + 948588810, + 936509079, + 289768996, + 453085666, + 261597372, + 488613416, + 67758472, + 639039031, + 629940762, + 900155892, + 893599286, + 807496848, + 141035785, + 782778812, + 789147084, + 820212575, + 296645420, + 79656364, + 777498863, + 118524662, + 483148699, + 723963625, + 363829322, + 912224501, + 239986110, + 887182951, + 484684429, + 138960745, + 957646373, + 290538004, + 440171708, + 388706232, + 865681130, + 729209873, + 358156379, + 927855997, + 340320821, + 269180127, + 938533825, + 84374690, + 416394385, + 555657978, + 625197583, + 983818431, + 188416557, + 261403282, + 184150521, + 442824203, + 803456288, + 547608601, + 427387712, + 275010112, + 852538940, + 323086781, + 58981626, + 386846320, + 11278913, + 89563679, + 798411655, + 402992873, + 280588808, + 116911295, + 288761403, + 995082758, + 657556732, + 485901727, + 186883106, + 701672336, + 924718199, + 609923523, + 606301499, + 520262188, + 270989733, + 480436847, + 967682899, + 330861062, + 636803866, + 991775943, + 171307032, + 166368071, + 661030266, + 512017247, + 348145212, + 138347781, + 631368715, + 789559899, + 990751422, + 494237128, + 281065249, + 7615764, + 730338844, + 519430596, + 330110857, + 35750085, + 717076012, + 107969491, + 893002651, + 971619526, + 789969963, + 919237823, + 562307279, + 281653231, + 611899944, + 325082975, + 744507435, + 50639652, + 837082800, + 93860132, + 596145564, + 438928275, + 490370869, + 885224095, + 405179414, + 123088757, + 874938906, + 969959067, + 92166159, + 699889154, + 574961841, + 983541352, + 318441931, + 529270311, + 897074337, + 571661292, + 503894312, + 237235732, + 538368140, + 181015687, + 437216500, + 388270648, + 744903113, + 652092497, + 489021893, + 789428177, + 11518842, + 140106741, + 95994479, + 645610049, + 819553615, + 206045389, + 862032829, + 49074325, + 259461578, + 65665383, + 242709385, + 818714001, + 679539021, + 742793720, + 212362627, + 322831866, + 680828884, + 897051368, + 202707437, + 602448191, + 915181075, + 638850499, + 733525873, + 48090948, + 278357652, + 108805153, + 406270851, + 482391470, + 716730070, + 751798375, + 693582832, + 338346987, + 662641100, + 90181056, + 796463148, + 15491621, + 947727855, + 401391797, + 703770580, + 188089902, + 647585978, + 736346528, + 776731387, + 900945780, + 246799618, + 392502427, + 933419884, + 262804187, + 671946866, + 64651740, + 947082337, + 263490444, + 923914842, + 575594277, + 102174694, + 802031105, + 347492214, + 853801553, + 734552898, + 114742428, + 396374789, + 744018915, + 543683737, + 137586380, + 690225962, + 96190117, + 335851693, + 239260890, + 716578077, + 979368567, + 483539787, + 803765079, + 951093732, + 295734572, + 344632408, + 674771583, + 847826720, + 107087323, + 526444498, + 212290010, + 768165140, + 585750021, + 615909696, + 703634135, + 278155126, + 721767600, + 324525799, + 635109063, + 974568025, + 229185519, + 872348228, + 846998436, + 827400780, + 329258480, + 291177182, + 607572311, + 905841432, + 389209918, + 903761194, + 216657559, + 126103709, + 436082951, + 455131256, + 20030753, + 757727071, + 784894297, + 914929410, + 174649086, + 967855563, + 50378868, + 764852662, + 124185849, + 700620842, + 454655766, + 374270105, + 711527338, + 724012851, + 245742454, + 952575170, + 356505130, + 39749591, + 154138480, + 199024850, + 783659183, + 860259405, + 714117923, + 409183039, + 585029155, + 409237250, + 779488707, + 349294158, + 246047000, + 922645648, + 174005549, + 442272778, + 449382032, + 44422906, + 861828586, + 518370627, + 646906342, + 466552068, + 313564982, + 230468785, + 491703384, + 118907906, + 342975989, + 403044520, + 986150796, + 473960987, + 988596066, + 483056144, + 899206886, + 976220354, + 393727457, + 738631586, + 35370017, + 209638120, + 663916348, + 435648236, + 359787862, + 386042271, + 838972743, + 480436658, + 717486816, + 337560499, + 856561019, + 189009309, + 691866877, + 589908424, + 690855758, + 677043855, + 52236294, + 436942311, + 138668715, + 903881266, + 644729156, + 570880819, + 851641829, + 119130578, + 158647249, + 265067536, + 319133278, + 602881591, + 575044966, + 362670778, + 701496650, + 778913612, + 800258318, + 780771623, + 871265949, + 797052451, + 307124640, + 111567894, + 510433264, + 978617952, + 438011365, + 667369847, + 258875161, + 619057842, + 403681504, + 15036410, + 522672305, + 586707149, + 327105814, + 322191246, + 200907823, + 223097583, + 998000572, + 214975558, + 189730824, + 54242317, + 151713854, + 37541955, + 772262903, + 206820408, + 70239638, + 175495493, + 804903289, + 452176825, + 485702295, + 408031754, + 369444439, + 605991969, + 768275146, + 432871122, + 593203761, + 260875095, + 535117890, + 432772473, + 468604422, + 321045308, + 284761307, + 573821579, + 981280943, + 105413446, + 724969841, + 837388010, + 563594099, + 313714916, + 875058114, + 853900500, + 314941784, + 712833989, + 682891818, + 448259289, + 849915877, + 603256707, + 336711246, + 213445115, + 662233881, + 956868626, + 312091558, + 661954037, + 307145295, + 910499556, + 357539613, + 952564625, + 301223959, + 235023799, + 809616831, + 835059706, + 541107604, + 899684843, + 159481304, + 350845391, + 183445280, + 625343229, + 897354688, + 607674750, + 980072154, + 758873997, + 720258613, + 364512220, + 352867464, + 557207255, + 68690418, + 34746833, + 208075392, + 32104559, + 340166799, + 987626891, + 882490464, + 465427317, + 561139561, + 212020148, + 934778728, + 688780560, + 162230586, + 11971330, + 204207346, + 419325044, + 460525608, + 793243678, + 127202430, + 613961849, + 606760899, + 10541522, + 677618950, + 322500030, + 224060262, + 143124351, + 762240382, + 938467224, + 581692656, + 609097427, + 886957669, + 247419971, + 229756663, + 142209943, + 934782713, + 471522904, + 859496502, + 614574162, + 843776901, + 205266383, + 398047214, + 57288355, + 532825942, + 200137623, + 470495078, + 144524624, + 170326815, + 376015095, + 533863867, + 759673549, + 998699328, + 741941265, + 516667024, + 169375742, + 961912723, + 361564545, + 810905419, + 262778980, + 818617122, + 866746048, + 350055198, + 79455569, + 205261501, + 30507996, + 600873300, + 848653527, + 769764347, + 939986158, + 977138688, + 444563569, + 661968506, + 655885411, + 98834877, + 74018776, + 68329601, + 589462281, + 100905093, + 484075444, + 932004257, + 817855771, + 443758370, + 378798110, + 286922747, + 76274185, + 10150141, + 52709425, + 353614094, + 128742904, + 158588337, + 918401916, + 609906979, + 700645434, + 941063004, + 456281942, + 352931440, + 675107287, + 778533508, + 980313993, + 603828476, + 301556626, + 52393242, + 663081592, + 572038496, + 283174646, + 202529124, + 610274558, + 666975754, + 437269726, + 932548569, + 457470285, + 768680411, + 429334727, + 543159409, + 945879960, + 694322962, + 267777562, + 337683334, + 211323421, + 524454134, + 561237792, + 548634924, + 636213244, + 336610837, + 863838724, + 505352823, + 737092209, + 308173744, + 26816973, + 892715213, + 532592258, + 770782103, + 18622928, + 806730039, + 999589530, + 696950731, + 561519435, + 749233635, + 697751756, + 793045245, + 10530105, + 213733422, + 462718188, + 203533897, + 168461356, + 56592899, + 616317937, + 571128460, + 308712040, + 364767615, + 212558881, + 147632306, + 663275009, + 10242970, + 541348990, + 116874199, + 90471944, + 627029576, + 898907920, + 531683895, + 320836897, + 847778265, + 706685937, + 358451669, + 949264036, + 106725023, + 259243854, + 440584444, + 931306379, + 409688476, + 444747466, + 169693624, + 159824607, + 151902134, + 788435556, + 621969997, + 20034060, + 359296648, + 131477712, + 23510418, + 71349329, + 423224598, + 617575737, + 769855159, + 570396128, + 638022111, + 856095407, + 338747191, + 714293692, + 783942519, + 791649905, + 896330191, + 82598064, + 323332464, + 248076316, + 537864339, + 785484393, + 185044856, + 694587856, + 220663768, + 156993559, + 803809791, + 163713227, + 78241483, + 63459609, + 852219716, + 372348943, + 153910385, + 76181153, + 18611722, + 143752075, + 797446352, + 442717264, + 429358222, + 728905465, + 655732300, + 548559980, + 890089888, + 712937001, + 547964127, + 971802371, + 589593282, + 135410616, + 414798473, + 976976197, + 246922560, + 323642778, + 112485706, + 763674751, + 214845162, + 675731454, + 661514323, + 182964562, + 859229256, + 450660940, + 243014003, + 128099180, + 420019047, + 856121028, + 404993399, + 597692910, + 762714258, + 395485188, + 376083143, + 476028465, + 979701564, + 242754010, + 41257038, + 161340683, + 256142972, + 787489415, + 367095526, + 688020922, + 337285489, + 924587111, + 502487129, + 705919011, + 434231190, + 558754565, + 62291718, + 189199207, + 340204150, + 246259252, + 531298199, + 758049085, + 231467839, + 957339598, + 748888965, + 281708, + 160379157, + 456038638, + 747327265, + 427242777, + 667172234, + 715804440, + 590029615, + 188759074, + 470590126, + 461241144, + 715405580, + 692451459, + 108256736, + 86231335, + 645124093, + 770589730, + 193075035, + 693120435, + 513004794, + 868633932, + 523097784, + 162059453, + 645357818, + 818568614, + 770066142, + 140053890, + 74348168, + 866794075, + 985620547, + 529420181, + 551581940, + 258448379, + 925264682, + 37512218, + 836344874, + 492169271, + 711412412, + 341338229, + 57369969, + 562117697, + 252689440, + 555765588, + 941919391, + 545248167, + 750896944, + 497525939, + 979434766, + 34349308, + 702125976, + 431644789, + 7534854, + 279318784, + 979533144, + 242467133, + 481612524, + 766440538, + 391476320, + 225025370, + 315918345, + 780686365, + 871771434, + 666013411, + 774543693, + 191355517, + 142234436, + 951831670, + 151530222, + 352637166, + 250844024, + 967281828, + 937359112, + 334547754, + 572096656, + 839414090, + 383703465, + 590005873, + 374754170, + 330641551, + 857122207, + 294256817, + 916719887, + 382879295, + 72598427, + 32699200, + 660056894, + 728326288, + 477209003, + 873286887, + 566960855, + 243491282, + 8787124, + 460818212, + 27345843, + 983620271, + 934028160, + 104775365, + 646849451, + 769927682, + 745545742, + 856821237, + 866330868, + 446247615, + 725538542, + 405603064, + 31232245, + 150584408, + 125357611, + 465929638, + 679513592, + 604678829, + 177306990, + 564964163, + 742374941, + 69532808, + 760634506, + 101180948, + 731010851, + 280811032, + 508861716, + 398751391, + 734919634, + 218992181, + 74238762, + 786789689, + 986910309, + 41684574, + 388791481, + 928682614, + 943817798, + 395708186, + 744931239, + 451238942, + 704283278, + 328983643, + 417098197, + 300767095, + 318176186, + 993185216, + 798822361, + 887890169, + 160392928, + 989790632, + 960382009, + 311767421, + 643533816, + 764395459, + 471139047, + 374925480, + 69200572, + 497588713, + 355469423, + 111454915, + 976381007, + 835642213, + 573759419, + 903537791, + 295911053, + 216639958, + 170374734, + 755872914, + 499500598, + 109732792, + 140779883, + 658225161, + 557510067, + 634950527, + 337146289, + 21663321, + 61548589, + 17324940, + 498680761, + 400656237, + 934586170, + 632432153, + 101496090, + 397722235, + 222029780, + 471138321, + 235809453, + 7750640, + 288424380, + 229913019, + 971234797, + 437201747, + 657168457, + 557876862, + 574282910, + 349258255, + 923755638, + 439911445, + 73089678, + 139894962, + 956953073, + 692262289, + 671080128, + 351030678, + 172789877, + 958217376, + 606565252, + 387497466, + 516609532, + 332382153, + 472653680, + 856904874, + 118370612, + 527373378, + 54449274, + 82145388, + 522236790, + 413478456, + 822588007, + 428622596, + 579107894, + 235944912, + 107316345, + 292786660, + 44302588, + 895345529, + 599649088, + 673335957, + 782494371, + 526554597, + 533156686, + 627478078, + 474769492, + 772508830, + 280580678, + 68355712, + 683801907, + 180479012, + 703392650, + 37778140, + 223314981, + 664241539, + 154865145, + 953664582, + 674212168, + 910311027, + 17782610, + 518044648, + 657771781, + 594388300, + 56746861, + 725818611, + 861851453, + 674155634, + 618613956, + 583570024, + 943720556, + 980778381, + 666474265, + 552481453, + 640310826, + 713260841, + 941292631, + 901798245, + 200287261, + 809947964, + 268406650, + 539594846, + 949547469, + 528741271, + 153345135, + 279413164, + 609880628, + 986037675, + 379125257, + 503342114, + 57687379, + 626056123, + 276024130, + 978431993, + 198888593, + 933116522, + 403494470, + 6928119, + 885536173, + 821580891, + 974375702, + 261090512, + 755816186, + 618690194, + 67219275, + 393322988, + 881518238, + 752071913, + 283520128, + 652155102, + 674434609, + 484551103, + 624832366, + 752868357, + 512097841, + 379244051, + 445132024, + 974460660, + 363028579, + 6874969, + 250953489, + 705997960, + 48991132, + 476638206, + 843845249, + 465596430, + 194105032, + 656575431, + 654881973, + 900563095, + 80279676, + 381439151, + 609359732, + 891709823, + 715516057, + 228216541, + 847694029, + 821315035, + 360541477, + 363845282, + 987023658, + 505837585, + 209209190, + 236444598, + 953035814, + 315490609, + 980838820, + 228307374, + 644561617, + 196270943, + 9254941, + 532817167, + 273924567, + 884155247, + 601202434, + 308150367, + 834668736, + 876534523, + 838149513, + 606322725, + 227778444, + 167683437, + 191517783, + 145435289, + 274083749, + 535703768, + 812367731, + 431891234, + 698781132, + 661511992, + 351932088, + 974009259, + 633830826, + 165957337, + 418280078, + 997414259, + 368480267, + 637227862, + 233543771, + 491635629, + 693015505, + 929079886, + 448451892, + 793729464, + 184535925, + 40599160, + 553583001, + 239196061, + 324110871, + 675155179, + 220440163, + 128438268, + 277863447, + 944990152, + 178693379, + 978682455, + 166763445, + 534196012, + 151311001, + 306723006, + 128460992, + 39237382, + 175347244, + 376413562, + 419148593, + 821441359, + 316366575, + 656785837, + 186487943, + 931889246, + 682323257, + 635603200, + 262023278, + 980330556, + 950479837, + 195045250, + 112688703, + 12679190, + 34059048, + 893639030, + 614920146, + 172557405, + 246644828, + 81480109, + 282908560, + 129594521, + 224203557, + 332528784, + 170238950, + 968822602, + 639962940, + 305505806, + 778672338, + 159776724, + 433032717, + 402623453, + 688048747, + 519673379, + 791614817, + 833738802, + 723908027, + 634816206, + 91868556, + 494758300, + 861615915, + 588071767, + 712717132, + 441384025, + 664269990, + 584962110, + 420589044, + 429778924, + 856583103, + 857212530, + 104379549, + 323036744, + 993895849, + 341234903, + 295557155, + 160542746, + 766670956, + 775739221, + 519900558, + 25881699, + 108879159, + 41485711, + 305758089, + 232072624, + 491383580, + 659564379, + 789176775, + 864796159, + 318293600, + 733285122, + 885263820, + 874955210, + 413929246, + 705871216, + 249463673, + 564356735, + 986557035, + 341969050, + 613810143, + 291446674, + 566502473, + 598395702, + 898031857, + 505579680, + 361012711, + 647508560, + 247417847, + 401831307, + 148704542, + 385352661, + 147977102, + 777942575, + 411629724, + 905271507, + 397094785, + 969600445, + 45755440, + 254915025, + 410220775, + 93483053, + 684824053, + 894518190, + 621707319, + 268542349, + 551227172, + 531265861, + 894619580, + 423728630, + 54193442, + 893011623, + 325406729, + 516927609, + 573046494, + 867793214, + 75405460, + 693236639, + 959445383, + 154383084, + 95273405, + 401999555, + 725242222, + 141017084, + 286914405, + 438528218, + 70293461, + 195065644, + 333990115, + 407783656, + 783446028, + 2718859, + 615529927, + 961938888, + 608764422, + 431641245, + 772297762, + 644113138, + 32940002, + 236793275, + 931468514, + 574942940, + 493347008, + 313995593, + 841597018, + 472273311, + 636264222, + 94800549, + 356146909, + 806666173, + 465366862, + 136687333, + 509478966, + 393778975, + 57087691, + 217478205, + 856652678, + 928623875, + 522910316, + 675064571, + 905980428, + 955432379, + 963700290, + 192010413, + 138414571, + 751295162, + 627267739, + 562919220, + 505173893, + 694985004, + 452463796, + 595893908, + 316611872, + 238485372, + 88548817, + 448382113, + 765603069, + 505940461, + 689720889, + 45735490, + 653727364, + 478330070, + 169123248, + 935841814, + 924247522, + 434163582, + 27562616, + 138793333, + 542552482, + 970788689, + 370873414, + 133978434, + 770491668, + 650286552, + 501963448, + 913588062, + 866512185, + 120255658, + 936933347, + 575710004, + 742762026, + 353305672, + 810887194, + 628365981, + 648458010, + 976809617, + 494013201, + 458032947, + 149462249, + 316609080, + 192545031, + 81156001, + 462179430, + 77629050, + 990200624, + 482445380, + 633414481, + 30919382, + 198373081, + 826670428, + 78780518, + 500799070, + 244731095, + 731851006, + 714799389, + 478090528, + 683395212, + 220561791, + 57677640, + 581684318, + 24592425, + 807224603, + 253923794, + 6648737, + 641815160, + 946515629, + 601189007, + 295429589, + 724166194, + 103904872, + 895479827, + 459849278, + 181590841, + 597362604, + 213238411, + 426348150, + 497527986, + 900475387, + 254685085, + 371576512, + 526145244, + 983503716, + 662183889, + 761137791, + 472761606, + 150872941, + 588067951, + 627816084, + 34039018, + 230224992, + 802999123, + 149621444, + 560788397, + 742565733, + 303163718, + 744034431, + 464943601, + 254249756, + 553700034, + 722290998, + 356024927, + 825862682, + 394803470, + 124235317, + 126375142, + 458281212, + 167836352, + 682499975, + 680669224, + 651982925, + 15846862, + 38973407, + 379090352, + 164858392, + 343924897, + 947097498, + 690986656, + 429871319, + 207274775, + 638018159, + 275472469, + 665721478, + 81313317, + 964954965, + 5652119, + 57835003, + 455987719, + 405609314, + 10652910, + 129502143, + 656292835, + 292339942, + 807802627, + 661911371, + 182866301, + 9614639, + 35291383, + 34143555, + 236889110, + 112488112, + 390946784, + 919510703, + 526791905, + 596423793, + 777427963, + 525126199, + 685293182, + 621550648, + 588240691, + 73290389, + 397584867, + 30306696, + 84789863, + 399633369, + 569638017, + 961457575, + 134153532, + 794522547, + 430686756, + 961658782, + 8314073, + 146805770, + 473978514, + 130841861, + 595136075, + 517019641, + 174534059, + 774452736, + 460972639, + 330680974, + 471300943, + 242130090, + 501049571, + 383907314, + 18244414, + 925917097, + 3499151, + 184166853, + 991353060, + 477466196, + 61732065, + 654069549, + 861391821, + 169048962, + 158945643, + 905870925, + 434183747, + 566267316, + 310778060, + 768418109, + 260314359, + 873192777, + 370778554, + 883214671, + 842218534, + 698444901, + 794451012, + 252503505, + 354587135, + 49969439, + 118413335, + 491312063, + 285801589, + 151179962, + 880912908, + 467120575, + 380898564, + 35781682, + 46226363, + 107864371, + 674688589, + 218777394, + 332618017, + 417727475, + 62360458, + 805487739, + 903000237, + 406822638, + 8444485, + 317444833, + 570144854, + 201277147, + 252818364, + 265594487, + 928712547, + 753765319, + 44913413, + 398548478, + 449330892, + 994246, + 218534696, + 473764093, + 391775216, + 737505453, + 932344134, + 577715135, + 683129262, + 551421305, + 274722668, + 832058276, + 546335462, + 340031771, + 504443909, + 45603197, + 66319610, + 952448177, + 278348156, + 478690854, + 64301139, + 100265770, + 619103327, + 138592617, + 699861147, + 601941794, + 530133207, + 652322072, + 381043150, + 142886516, + 772277414, + 69469121, + 867496664, + 973485975, + 841921732, + 774037486, + 813260857, + 574275896, + 950229980, + 2429869, + 187137962, + 917087000, + 14413231, + 675373787, + 419441974, + 607437476, + 203539393, + 930967964, + 870820072, + 403849167, + 930483985, + 590949548, + 240192998, + 686820273, + 312838503, + 818449881, + 232260230, + 358981851, + 918851287, + 15818095, + 176690302, + 10054499, + 608789773, + 705916783, + 929215594, + 63324756, + 660465474, + 357764737, + 79972289, + 945229909, + 741139638, + 506401654, + 581578948, + 323479599, + 434310178, + 708657990, + 433584891, + 996512177, + 547245284, + 543965365, + 509077262, + 337770930, + 441787141, + 949307032, + 100007861, + 417326601, + 287323006, + 308480604, + 855960009, + 889511173, + 920221349, + 959703408, + 453225351, + 69551540, + 871859359, + 184595549, + 594760432, + 877916111, + 936240980, + 749509577, + 602518914, + 99513824, + 211537733, + 503743879, + 914846533, + 55307954, + 550399533, + 272385891, + 480041265, + 75919434, + 220065607, + 889405185, + 873760112, + 961939743, + 627407044, + 7637873, + 990829265, + 189548478, + 857273633, + 412403858, + 319408915, + 115397293, + 470525240, + 438044769, + 388161925, + 81221404, + 343272193, + 168773078, + 414451980, + 927169641, + 840432092, + 60200394, + 287938449, + 795715272, + 103322605, + 342531602, + 429124392, + 804413389, + 850634660, + 11194999, + 520448403, + 943934586, + 732085757, + 936418042, + 320333736, + 689445464, + 346809456, + 756848603, + 61557733, + 136623175, + 748145390, + 546592825, + 41839616, + 811967140, + 625398456, + 265614930, + 828807344, + 780796487, + 58990671, + 216059173, + 805632215, + 36971330, + 865153510, + 466344612, + 625371751, + 155703511, + 403433621, + 867609387, + 133270048, + 957249520, + 557258079, + 722048102, + 103390112, + 285914716, + 688695462, + 14889747, + 21825532, + 848465385, + 847284451, + 689945476, + 609440999, + 505304158, + 385561927, + 472701890, + 731590588, + 524632271, + 957033094, + 735397318, + 431386154, + 38741870, + 607232941, + 732662979, + 405839283, + 870043538, + 593022820, + 531163555, + 390074488, + 590443214, + 427400915, + 468155080, + 98198300, + 459539122, + 728999819, + 741603743, + 849546455, + 242371107, + 473193379, + 274476848, + 832302239, + 280073036, + 62152143, + 839448346, + 141824282, + 623238828, + 742242125, + 185531734, + 483202674, + 878019727, + 16752256, + 963041291, + 492202018, + 384359103, + 577813656, + 293771873, + 377164994, + 275864029, + 591155379, + 532202419, + 60521339, + 982902983, + 271593107, + 353499620, + 488996538, + 536796034, + 597486273, + 938422163, + 979072282, + 696256158, + 774146843, + 508747583, + 349838551, + 539626011, + 909820265, + 540231806, + 268467466, + 426775704, + 360011330, + 217643095, + 785266779, + 656046786, + 146912279, + 642111574, + 126309692, + 63464792, + 804443804, + 722000858, + 284256700, + 214862883, + 514106659, + 689616573, + 953826865, + 298043131, + 374698265, + 547862100, + 438351110, + 501557323, + 6129727, + 126773850, + 14072773, + 655938717, + 710586504, + 133854259, + 86941392, + 56745710, + 241845514, + 184145766, + 782259519, + 347597373, + 636764334, + 16609372, + 743841760, + 548120262, + 49431529, + 898793315, + 799298252, + 479355751, + 825194621, + 310899884, + 331611391, + 566646319, + 807883733, + 517129940, + 515938140, + 733831381, + 256386165, + 736995747, + 686120613, + 966306429, + 582998755, + 55934710, + 521003609, + 267320874, + 967655392, + 525803263, + 640505915, + 982330372, + 296839831, + 876544264, + 744601599, + 710686106, + 805012920, + 555330192, + 990241991, + 876252153, + 552172492, + 530064934, + 140030733, + 965787233, + 246518895, + 710998686, + 115434236, + 613596595, + 314812599, + 109094555, + 172652523, + 736723794, + 310728266, + 703590408, + 207549285, + 310888248, + 411690089, + 517121388, + 251549134, + 689441821, + 439706738, + 460609898, + 179746000, + 939234441, + 218749407, + 343138620, + 282104146, + 603663822, + 576233223, + 42800157, + 896132805, + 754703490, + 458469521, + 490350175, + 286781349, + 873432803, + 675516680, + 45617457, + 773821869, + 860722992, + 384068175, + 116877532, + 875767891, + 330728248, + 521761184, + 747436269, + 343445706, + 331982156, + 693539793, + 423865207, + 78546411, + 727930859, + 177170751, + 59590166, + 404000933, + 942230814, + 233526134, + 240486942, + 791300523, + 52884721, + 503581288, + 987180327, + 860614582, + 101121765, + 558620090, + 564027921, + 342865253, + 201929667, + 481213172, + 822253060, + 948216668, + 414079308, + 42449612, + 49783742, + 650272608, + 637716619, + 288975219, + 400084104, + 854553232, + 758102546, + 779793185, + 560329893, + 460365468, + 510395043, + 27537479, + 934905343, + 739246393, + 54953035, + 745765655, + 225243724, + 197815441, + 585376039, + 553208326, + 542473993, + 798701891, + 200769929, + 773024395, + 394986224, + 856262911, + 417246375, + 739176610, + 930577819, + 484504752, + 306620225, + 15621692, + 541382508, + 369083814, + 692397, + 501500906, + 380744893, + 87947670, + 191344390, + 4077235, + 743865683, + 664489456, + 298719208, + 938004182, + 231367576, + 647202152, + 883331645, + 529744469, + 856625485, + 125122127, + 485921030, + 423619858, + 711984330, + 552898347, + 225710203, + 998979190, + 398243972, + 681149413, + 462697954, + 831502859, + 915299904, + 346880581, + 122978255, + 626238894, + 773600477, + 939786137, + 591806048, + 915165803, + 498763939, + 114814837, + 101947980, + 441782771, + 977571301, + 488527168, + 92606068, + 81217753, + 506771393, + 149250969, + 757114504, + 921918855, + 539167192, + 688695788, + 900210907, + 942083600, + 380940844, + 668345257, + 325013060, + 105849145, + 372188296, + 733026061, + 913919282, + 192799489, + 315631900, + 185339978, + 380221455, + 265466568, + 451759051, + 364643351, + 203591307, + 394905865, + 496498951, + 387985854, + 257370413, + 757270258, + 776916265, + 464924170, + 672253182, + 685607618, + 861189577, + 454751282, + 854187117, + 436624941, + 996597851, + 780448920, + 510926924, + 921431998, + 761878626, + 736577108, + 777911635, + 583440432, + 35943737, + 652549544, + 675561674, + 626065631, + 215709573, + 109510431, + 930799406, + 215849034, + 201379357, + 513049615, + 386030881, + 589919353, + 364274609, + 324050709, + 319168128, + 874837522, + 797863137, + 359613078, + 477473574, + 4008190, + 235856689, + 38080743, + 419105419, + 717840501, + 412476512, + 218906034, + 946200794, + 126664968, + 279532420, + 10935145, + 285625031, + 247213061, + 799426257, + 440773759, + 504444523, + 393982016, + 944057572, + 901772685, + 520558016, + 457434162, + 850273402, + 693089251, + 623308373, + 691002275, + 716673987, + 763840263, + 775950234, + 75699646, + 109693652, + 413677083, + 79329986, + 990633290, + 623156852, + 184835268, + 328127669, + 345549715, + 996113406, + 320617475, + 83944293, + 866874687, + 690432371, + 336212778, + 108712148, + 882212362, + 544256218, + 25944592, + 604741511, + 176997982, + 249781612, + 619260866, + 911634710, + 429403664, + 829192628, + 207393763, + 828713249, + 264300551, + 677347448, + 36105324, + 819603495, + 167808657, + 222084465, + 887409209, + 301666820, + 472668016, + 299918680, + 678228690, + 553278684, + 347505782, + 614453871, + 609444444, + 504086630, + 146767029, + 350623220, + 842310530, + 295471744, + 61966062, + 995828364, + 404471237, + 171706462, + 871832720, + 749340886, + 810447015, + 165391194, + 31484329, + 562211656, + 871400322, + 629543470, + 15618314, + 932800824, + 20998827, + 913338310, + 538031792, + 494221503, + 538754386, + 117892948, + 108804231, + 260503398, + 796904156, + 236996635, + 259327804, + 865257547, + 430505754, + 743314894, + 49580071, + 55203105, + 748854594, + 14530801, + 555210778, + 481999594, + 627159452, + 716652777, + 510171631, + 754202806, + 67823423, + 798780979, + 741963456, + 182136443, + 451000972, + 849575084, + 636185519, + 918749173, + 518909674, + 744236732, + 719808085, + 325828790, + 997946625, + 812331768, + 574159737, + 816731726, + 119665845, + 92143569, + 411319501, + 815001129, + 707427224, + 557669191, + 719254203, + 589101653, + 58670420, + 891480517, + 429272299, + 98290621, + 70996104, + 544756970, + 114046580, + 204682070, + 368495530, + 865154696, + 724421540, + 383615286, + 156479286, + 763327095, + 934443394, + 315972798, + 259680518, + 607890589, + 905498598, + 678432401, + 222325312, + 491137753, + 347553486, + 261960740, + 83440771, + 826038604, + 625939262, + 843495031, + 456551997, + 665399128, + 348048258, + 637146193, + 375648054, + 992241725, + 624690957, + 192455667, + 226991159, + 112336004, + 102415435, + 94766586, + 357316942, + 958508289, + 109431600, + 378686952, + 223110976, + 365387093, + 61790558, + 4305345, + 310479177, + 620222449, + 273974713, + 492539519, + 421552689, + 634064587, + 428545232, + 36759194, + 688008460, + 650818686, + 605205452, + 907320328, + 40731160, + 835361205, + 971397789, + 803554846, + 968668888, + 268427766, + 832442624, + 262546396, + 60385062, + 874408589, + 253428235, + 824310062, + 637937891, + 751278161, + 537610047, + 773123986, + 777663096, + 235932097, + 191042306, + 60387045, + 959395889, + 335934931, + 545651919, + 631973753, + 64328894, + 151924662, + 902841180, + 518629371, + 106372226, + 607400728, + 417862232, + 484763043, + 48382581, + 7238106, + 873986446, + 496492409, + 838480870, + 327608294, + 598002963, + 732081293, + 848459801, + 52710376, + 191494163, + 10034804, + 944895442, + 694093035, + 520439146, + 341400096, + 444016344, + 40333641, + 864475497, + 478982999, + 877753800, + 211130860, + 386075565, + 532641885, + 746410110, + 26511846, + 439800408, + 676618816, + 186060085, + 738260876, + 673950048, + 631110822, + 143242456, + 853210207, + 333146392, + 177698261, + 225875153, + 872990838, + 108186180, + 603743634, + 580998998, + 676431138, + 975801615, + 559819598, + 465184647, + 425797421, + 469370768, + 571353559, + 436037778, + 458740016, + 472613564, + 578039894, + 278203449, + 92384578, + 939028913, + 2610393, + 4685679, + 553893037, + 110810620, + 442359464, + 507257727, + 433197926, + 870915119, + 354035288, + 240640403, + 964431858, + 68764901, + 878372096, + 564141506, + 839282659, + 781044717, + 651138230, + 174714550, + 657829470, + 707127707, + 327118806, + 290654483, + 987421374, + 469931230, + 210978542, + 970343452, + 618517645, + 625746015, + 506944666, + 733026174, + 410555968, + 330093717, + 125541689, + 170430635, + 451184975, + 315657565, + 347749123, + 291113714, + 219714648, + 701350571, + 694094538, + 245040473, + 311765590, + 193670467, + 41349642, + 544700076, + 864321874, + 406380460, + 29093898, + 768000128, + 867175163, + 164161404, + 82579138, + 129798057, + 173496475, + 499968, + 305823159, + 298906017, + 548712060, + 808205467, + 540187711, + 243405053, + 484846261, + 780457000, + 316392083, + 144063002, + 513202899, + 820339603, + 886763602, + 780455108, + 31570907, + 309037081, + 297912821, + 205200811, + 483836632, + 141187810, + 563180374, + 226082717, + 616268183, + 266623128, + 71716190, + 56218417, + 462688011, + 278562666, + 254508093, + 12907112, + 484587893, + 343510996, + 77818150, + 781459062, + 247887727, + 963792585, + 570210730, + 330814795, + 137635205, + 335435199, + 609717095, + 516267557, + 954613012, + 18640835, + 899463031, + 5381238, + 203119750, + 775592130, + 169488739, + 212373519, + 879232312, + 474425822, + 648987251, + 144136652, + 715548053, + 627105628, + 359154330, + 923911573, + 457234803, + 660105343, + 380760875, + 64943931, + 680729019, + 373005026, + 756841016, + 604040149, + 513434184, + 399048364, + 412131708, + 526512018, + 737764716, + 437549843, + 124651879, + 146339268, + 629990338, + 88174945, + 636285431, + 612383982, + 636818299, + 61442849, + 135261181, + 824410190, + 670066409, + 547052861, + 225501824, + 465557955, + 913516493, + 706347186, + 451747018, + 629495110, + 293143200, + 362072734, + 514092985, + 331306986, + 879007223, + 398825355, + 31280976, + 364029104, + 466972992, + 225573984, + 683684129, + 295127707, + 692487117, + 354498439, + 300385785, + 183467775, + 695375073, + 175391772, + 462259009, + 370561361, + 432845065, + 428155631, + 377203975, + 29199072, + 302569894, + 153495087, + 737490044, + 212686665, + 913118944, + 734649581, + 749029946, + 522379753, + 885725981, + 292515587, + 811209122, + 709282792, + 452520489, + 537071427, + 530717233, + 663290400, + 452339825, + 739878071, + 293684009, + 413203968, + 980234894, + 840218977, + 847896624, + 759571188, + 592739820, + 704988836, + 471315132, + 724100691, + 139785401, + 780068022, + 797409837, + 274482270, + 197083337, + 736719892, + 288913058, + 702436445, + 897611858, + 78530999, + 212968490, + 955044941, + 761912531, + 175000405, + 150933446, + 194757998, + 617127022, + 445598301, + 975755247, + 314214018, + 664159586, + 788275013, + 838097427, + 786750770, + 570554307, + 28431834, + 291248139, + 967021, + 838120797, + 376691541, + 917162576, + 369592343, + 139847660, + 748220124, + 740354800, + 721264546, + 560067999, + 672147147, + 515952403, + 387159939, + 386230554, + 998883730, + 402477236, + 609388772, + 229545479, + 638399609, + 961063483, + 941202497, + 425049714, + 65636938, + 549139890, + 536488189, + 47581705, + 748415721, + 787541121, + 748973777, + 657351309, + 612151374, + 895070220, + 952641990, + 345503879, + 870560007, + 517880366, + 551503116, + 637567067, + 662041833, + 551875100, + 744607830, + 518523952, + 686118059, + 292517752, + 461033110, + 243801198, + 184177760, + 917381610, + 508594634, + 622815777, + 200517875, + 307967170, + 293682463, + 442524763, + 658391749, + 358778425, + 84651907, + 792276831, + 397953175, + 998601867, + 357636412, + 979967701, + 506546606, + 864539464, + 214334619, + 233357200, + 234772717, + 717277520, + 193598121, + 329751059, + 96036989, + 904047526, + 261761569, + 60421522, + 813719462, + 684679691, + 742738791, + 854976801, + 880666899, + 131626387, + 752310513, + 722703350, + 211832185, + 15785901, + 345922588, + 444606484, + 657688263, + 85574049, + 766389887, + 783986778, + 85179165, + 620858762, + 324410091, + 761454578, + 284860430, + 995203058, + 139583991, + 952564753, + 936725044, + 377390086, + 227931860, + 96502543, + 620979746, + 770202432, + 591384898, + 89307983, + 623223432, + 542011215, + 103097426, + 157565491, + 737500924, + 178629117, + 926298481, + 319923850, + 229653554, + 585947167, + 280693975, + 224360660, + 984173369, + 50937479, + 504251750, + 315233352, + 577829310, + 805372831, + 741266914, + 661554790, + 239112590, + 54537709, + 850444762, + 384061259, + 223182865, + 508291491, + 789188968, + 699965037, + 283772547, + 420626274, + 140946215, + 525394009, + 535204655, + 525736822, + 568361031, + 814574304, + 648909831, + 269389260, + 321966068, + 9472952, + 641215355, + 545712360, + 39457190, + 115738225, + 498459872, + 562607671, + 512809458, + 48698146, + 951465845, + 365831359, + 982160987, + 187566830, + 58410623, + 574149634, + 140231968, + 838453375, + 882789140, + 846391837, + 314156340, + 379893743, + 471382384, + 210024446, + 649553122, + 330794535, + 956122932, + 636572538, + 38569331, + 358732948, + 992451061, + 707534191, + 492974669, + 625981163, + 678419963, + 736737933, + 866586096, + 526565619, + 423774982, + 117259611, + 997575977, + 736278719, + 949451336, + 746051048, + 829994523, + 18506121, + 612394437, + 471002382, + 107848717, + 954553124, + 507536560, + 453546252, + 333518583, + 32661411, + 663225706, + 749321607, + 179334377, + 179160560, + 631013870, + 559759066, + 684212958, + 642835206, + 461709819, + 592255908, + 285752133, + 202932748, + 905828149, + 631507431, + 4158795, + 335426559, + 42635911, + 553891742, + 497514549, + 785963639, + 244675652, + 818581092, + 395258477, + 307720089, + 326037131, + 42338700, + 896183243, + 616788491, + 895821559, + 764525210, + 995869956, + 993446121, + 565168035, + 963369738, + 425959158, + 970864975, + 671127793, + 947098313, + 807714391, + 974854388, + 396940136, + 702534544, + 32748840, + 124784343, + 823120796, + 864352422, + 637512592, + 551938814, + 13128439, + 578394109, + 839010744, + 983871087, + 773664886, + 1550709, + 841928390, + 910335699, + 466124260, + 150406453, + 955717001, + 921487234, + 813846183, + 743577532, + 141941943, + 603805065, + 80486056, + 215132518, + 812016259, + 672931678, + 70813492, + 841941315, + 392719040, + 538522713, + 3881057, + 549140222, + 139986275, + 523921705, + 581574162, + 788073208, + 576413306, + 229030938, + 588761220, + 197713161, + 767910132, + 837735216, + 893861676, + 549487501, + 702763806, + 358248891, + 609143780, + 975300789, + 210178585, + 87162199, + 202208269, + 675093787, + 514131697, + 402875834, + 710026571, + 490914429, + 831339899, + 340355125, + 730008929, + 640251617, + 356031243, + 699848215, + 485472865, + 573381499, + 98110951, + 379412077, + 115638441, + 769127166, + 765922120, + 910908633, + 101061257, + 323515174, + 389711123, + 49242413, + 575768851, + 276245998, + 942486583, + 788078478, + 46340893, + 81571564, + 501503208, + 915315025, + 937775741, + 938899149, + 79054886, + 717539293, + 734547381, + 217437422, + 977579716, + 451286770, + 127464693, + 867708006, + 372973865, + 634391465, + 715352992, + 658666838, + 179521342, + 640294833, + 750906312, + 310899783, + 540427794, + 102698722, + 850790133, + 167745272, + 825672054, + 595596789, + 372236915, + 926750521, + 848924191, + 126748025, + 952458664, + 137585089, + 401306460, + 443587943, + 447358777, + 436104745, + 577422922, + 722806353, + 378684339, + 351851556, + 383303700, + 582352223, + 641930375, + 61630033, + 219365875, + 638604540, + 236212292, + 384590886, + 955551269, + 288082880, + 188808217, + 352384269, + 812225720, + 616859620, + 458364680, + 396235850, + 701129792, + 549239513, + 846226569, + 231484844, + 557679211, + 273452421, + 837246911, + 379188180, + 329013427, + 96829316, + 230718796, + 25948862, + 9134047, + 152952310, + 243048751, + 623655566, + 321353120, + 999870014, + 87047716, + 164508200, + 272988433, + 588328863, + 492718644, + 548770352, + 326762970, + 237264758, + 236519748, + 67949725, + 457387111, + 275728104, + 637372539, + 197202325, + 429185166, + 562794583, + 980008803, + 155016222, + 293815421, + 809852146, + 3845547, + 367428216, + 634870224, + 927901867, + 466228224, + 242480189, + 720641003, + 855724400, + 546821104, + 659675497, + 646454278, + 887594794, + 601444395, + 817367868, + 480323440, + 758422877, + 333764985, + 205270944, + 441251510, + 299477142, + 253054788, + 169562772, + 612732292, + 621638462, + 383866295, + 955188137, + 768485969, + 638187000, + 775324004, + 104185875, + 671417977, + 742683216, + 536484586, + 69394759, + 624450231, + 244698819, + 37680127, + 818110967, + 442698165, + 225597303, + 61194339, + 945102988, + 204054666, + 526280179, + 336726725, + 640828786, + 351099568, + 689899781, + 503761316, + 251976856, + 103166071, + 140954666, + 107688329, + 984039089, + 851338740, + 589034534, + 628156587, + 833586081, + 838543932, + 197365677, + 453883250, + 930196208, + 318480696, + 266359321, + 110794534, + 430246273, + 906015050, + 396988163, + 541799060, + 153537979, + 609824192, + 664071885, + 816178952, + 9279150, + 350320948, + 374626915, + 565893743, + 434904912, + 334673425, + 110734824, + 468266583, + 960854404, + 681228509, + 437417365, + 419772637, + 597398472, + 69517602, + 878936972, + 892583931, + 239171785, + 197052267, + 720550197, + 677983155, + 54711141, + 138571903, + 725223167, + 812085287, + 168602114, + 154767525, + 670868973, + 74945734, + 215085729, + 174253080, + 376143870, + 29592049, + 382740636, + 928173946, + 913427823, + 378824356, + 434736962, + 14910100, + 609162599, + 954949855, + 547613079, + 672436860, + 136735194, + 592012357, + 319434436, + 936487938, + 74758540, + 655716703, + 431079800, + 25074647, + 310807184, + 600616085, + 223497135, + 384908221, + 401620180, + 250918782, + 63763380, + 412362426, + 958512209, + 941903727, + 838408387, + 32570081, + 842444367, + 258805329, + 20382997, + 335369157, + 840337056, + 788572685, + 863125298, + 934790333, + 999168694, + 68844124, + 857008303, + 857824860, + 48797412, + 568670590, + 99486127, + 17413746, + 485817491, + 890033118, + 545530197, + 712968237, + 932247843, + 157688188, + 248563181, + 347811279, + 609386350, + 438732276, + 282030187, + 124587605, + 630470127, + 453902209, + 392714533, + 910149686, + 6635204, + 861565695, + 323455929, + 69711607, + 831789236, + 992936820, + 428995323, + 656350347, + 753717044, + 28007109, + 303447694, + 296940302, + 116798105, + 173527802, + 665186050, + 258437651, + 790910137, + 991933796, + 817228884, + 636462771, + 269991927, + 746779027, + 424110266, + 34425389, + 699890465, + 332913508, + 389426304, + 620118516, + 62315091, + 768381800, + 288480875, + 422618667, + 612204754, + 566237086, + 300690020, + 576370635, + 877795535, + 86791427, + 292844023, + 848526189, + 75375825, + 137114126, + 351103153, + 844826490, + 594780965, + 21085488, + 270008381, + 817177773, + 34530276, + 873225548, + 477813160, + 834679627, + 709130464, + 613718879, + 233642887, + 260442059, + 727278502, + 245577337, + 96967654, + 262239625, + 564810052, + 754128515, + 131757319, + 703234080, + 265491480, + 959940221, + 403699864, + 433811200, + 580250451, + 289188711, + 382783134, + 91057065, + 127900959, + 663625752, + 148567402, + 919647835, + 879442284, + 286597822, + 85395546, + 225405721, + 647582027, + 169841590, + 770892834, + 102088978, + 846374229, + 491817505, + 190250902, + 175660702, + 488798846, + 422931688, + 583436289, + 554029681, + 97356660, + 390187478, + 98179225, + 142863020, + 13692329, + 677507862, + 6435541, + 42689595, + 850413912, + 800296380, + 677180272, + 807323114, + 847103310, + 448042816, + 874206164, + 123065255, + 894559862, + 73061306, + 537075223, + 572998584, + 321882901, + 454033297, + 2052489, + 331365434, + 975478485, + 63758720, + 31031667, + 293613910, + 248275063, + 434085693, + 628505793, + 135165651, + 969801883, + 195571695, + 939121701, + 211445163, + 423218450, + 15264023, + 915528896, + 796150655, + 708608752, + 169837642, + 507526394, + 513608222, + 857176044, + 51228990, + 867923624, + 815991917, + 714572536, + 740384167, + 675390141, + 37571474, + 257702414, + 626603897, + 624242324, + 143621020, + 955879228, + 320775505, + 628196240, + 985728023, + 826954929, + 834165336, + 275251261, + 367361683, + 827494741, + 497728372, + 240903387, + 118933400, + 811283606, + 339811870, + 506013119, + 525822938, + 101199817, + 829842907, + 471531998, + 689654450, + 135505086, + 459203836, + 507527360, + 245262234, + 619443734, + 245384529, + 930173217, + 515392401, + 262027844, + 171162755, + 75533323, + 479766044, + 212603065, + 255166034, + 746513188, + 69212527, + 242677643, + 477679830, + 342929616, + 18062275, + 35492604, + 778388300, + 830730628, + 774449364, + 713134588, + 897820265, + 8948985, + 861566664, + 253177568, + 938215750, + 703042633, + 442667937, + 274179389, + 538713735, + 272751086, + 26585804, + 398185084, + 766297598, + 178308568, + 948688720, + 333402137, + 167068773, + 98069347, + 902762806, + 475475181, + 813660334, + 274242164, + 910662500, + 56274373, + 517592720, + 27143157, + 682378421, + 804577780, + 822951821, + 325320065, + 44214267, + 511680524, + 273514209, + 860547191, + 392672688, + 815549243, + 281346877, + 796917207, + 44515563, + 667798424, + 141517582, + 217114233, + 624653411, + 393783039, + 551427481, + 868499465, + 827747595, + 919295557, + 248485522, + 402935120, + 386423196, + 732099781, + 494723488, + 542395053, + 382346261, + 957036004, + 93921264, + 803780782, + 407073092, + 570603648, + 614041971, + 882819664, + 679173544, + 705281557, + 122974294, + 361707443, + 497198841, + 746820702, + 430207482, + 188573407, + 578015223, + 577887473, + 754969378, + 316478045, + 624082389, + 745171124, + 820997863, + 827183381, + 791986936, + 266139088, + 788424202, + 261569952, + 644506021, + 78681443, + 632641948, + 663539107, + 49097432, + 677446282, + 684956117, + 710109073, + 209971784, + 365997678, + 613038703, + 196809611, + 67635391, + 611368268, + 173188865, + 549119267, + 419243951, + 453298955, + 566088049, + 457950573, + 785784890, + 23929829, + 621868223, + 313331624, + 484333931, + 488794875, + 557523, + 279318780, + 461519983, + 548458715, + 215896769, + 927642951, + 858670753, + 746100237, + 679494766, + 486081103, + 243089475, + 436007176, + 259772918, + 20788162, + 124103304, + 26139658, + 666391366, + 407158639, + 990766968, + 206237329, + 855734867, + 449589140, + 723971508, + 56478377, + 38681841, + 779859288, + 151377452, + 864668216, + 395657597, + 838996110, + 2498570, + 353446622, + 395967181, + 192785250, + 798048498, + 905033611, + 802855058, + 61229527, + 603262794, + 639393186, + 957748880, + 620483904, + 524755218, + 137745062, + 445962324, + 146490423, + 170449865, + 433949431, + 352463001, + 645888222, + 265433513, + 772837145, + 153324928, + 778075313, + 645516531, + 828969776, + 985932887, + 438613359, + 405691445, + 23591592, + 758031943, + 523492251, + 16843642, + 119331958, + 940116572, + 271014826, + 781444956, + 211221182, + 392615259, + 990898408, + 855569320, + 781972992, + 179522095, + 342927407, + 993019132, + 282170151, + 756161708, + 133221633, + 721905697, + 531956518, + 239677572, + 840470937, + 579668806, + 989870252, + 302544437, + 510079230, + 883693527, + 230771716, + 353325845, + 96899219, + 577736068, + 459871823, + 39938136, + 850180423, + 334443444, + 781890400, + 810456120, + 58485325, + 403949393, + 335084656, + 553960667, + 756067717, + 801062389, + 6325920, + 921402263, + 371242765, + 609483512, + 57425236, + 878245101, + 133081987, + 588492371, + 220043624, + 185381741, + 572540816, + 353471780, + 107612092, + 15899773, + 591210541, + 993989607, + 625592778, + 728839444, + 24317184, + 417050473, + 975003690, + 591518999, + 713349484, + 734289208, + 760701102, + 420615743, + 326264486, + 308361262, + 520175117, + 473748443, + 239851444, + 267520828, + 166370643, + 278885937, + 99260731, + 286348557, + 445135301, + 367695840, + 35572444, + 464551993, + 641359784, + 844431371, + 909587725, + 162227517, + 819712977, + 221461406, + 848111182, + 252333717, + 140384756, + 725683241, + 521126167, + 798430780, + 507065928, + 819123015, + 280467795, + 893435654, + 288136895, + 254701349, + 457136386, + 535973874, + 469162005, + 647317607, + 120318, + 475638011, + 365296730, + 187864589, + 709770139, + 593739849, + 917354549, + 305425277, + 348475187, + 261870110, + 534741536, + 167050534, + 359625826, + 521400141, + 896785440, + 727620794, + 613860888, + 930168958, + 227981000, + 579631744, + 408752319, + 269864989, + 107499628, + 565917349, + 332842906, + 872942650, + 57582624, + 384034541, + 639924105, + 823513916, + 531325887, + 189762584, + 202489661, + 41485507, + 46716642, + 18329321, + 733253589, + 179470869, + 253563091, + 818413245, + 136755010, + 646398211, + 157935129, + 253602525, + 407851607, + 179661587, + 415575779, + 786134497, + 475110334, + 129024868, + 896745876, + 384589045, + 574883891, + 306719403, + 510353001, + 782034272, + 957895795, + 30032533, + 697217275, + 697608162, + 892483064, + 322865562, + 578747016, + 804871161, + 824567306, + 130040221, + 575974207, + 653877023, + 198288975, + 434614393, + 542060626, + 417603512, + 481310274, + 108730820, + 817706236, + 918654519, + 199492053, + 36604479, + 611359128, + 973541436, + 261834821, + 706407406, + 463024274, + 285151783, + 52671386, + 434601391, + 599431278, + 642370981, + 905462225, + 501030873, + 126784142, + 811328805, + 539429804, + 395919086, + 320692905, + 978187901, + 638509211, + 549760786, + 992809942, + 26707693, + 553585272, + 698653735, + 748574616, + 787147519, + 250715538, + 446145511, + 269068647, + 307173253, + 70320932, + 515420086, + 191857660, + 114631613, + 995040535, + 917042061, + 239320496, + 312692840, + 609484904, + 586704151, + 120449880, + 214965447, + 597551280, + 750463378, + 68988211, + 666320692, + 346152493, + 46188014, + 575532596, + 81321208, + 358027539, + 702080166, + 701582943, + 479173461, + 690191292, + 478734064, + 273039787, + 350609092, + 695827354, + 81109302, + 485531760, + 923323743, + 457215663, + 428144995, + 45018790, + 103511005, + 950295661, + 662944396, + 951292320, + 117519939, + 968461625, + 313200839, + 201997895, + 161407402, + 853193476, + 878797758, + 910890969, + 354088176, + 391996341, + 256083851, + 158128203, + 867337311, + 185525607, + 570342523, + 844665199, + 953385255, + 396875361, + 183691626, + 641479325, + 600560125, + 70703086, + 166972501, + 252244542, + 223207846, + 665076047, + 337108704, + 765438557, + 660501323, + 388256581, + 537135786, + 899131036, + 11923692, + 160691433, + 38510666, + 169758912, + 882729739, + 587174735, + 5158211, + 122263956, + 510587659, + 6927142, + 187006109, + 483159940, + 556075364, + 958366792, + 719694518, + 526078695, + 769021464, + 504206250, + 954314397, + 522362015, + 700066903, + 783043311, + 897643046, + 150945705, + 912629039, + 786967947, + 225824341, + 51956382, + 431147666, + 733544996, + 840279494, + 879998140, + 492543203, + 661856170, + 32847056, + 10012184, + 300529345, + 119053925, + 558999439, + 317490747, + 934972241, + 152011153, + 328936516, + 188519945, + 26983750, + 61856822, + 589141921, + 964265855, + 89898403, + 751399524, + 434114931, + 865364970, + 555971959, + 10846639, + 204545457, + 337236425, + 89585300, + 561519869, + 430910131, + 123634999, + 693044791, + 182201602, + 467539947, + 960114853, + 228220361, + 776575897, + 554123960, + 651303691, + 11304799, + 522933523, + 916704716, + 282729799, + 519017006, + 993541611, + 977437957, + 411610585, + 813663462, + 171430900, + 74135779, + 349704302, + 383854543, + 733566761, + 760438377, + 557659310, + 214614119, + 35019381, + 247368387, + 220258959, + 67282633, + 848877242, + 802314144, + 926433055, + 966350626, + 794672922, + 117771002, + 523565720, + 369088164, + 957293937, + 78581215, + 416723054, + 653534420, + 883615395, + 371055678, + 576794107, + 236647144, + 533674282, + 496481591, + 1858288, + 901548087, + 207700358, + 84996898, + 913437482, + 75370388, + 790703438, + 884720994, + 287859359, + 912828995, + 272857508, + 546480395, + 386807234, + 773028264, + 312790349, + 667401923, + 270467970, + 405405375, + 911181749, + 452036813, + 73766945, + 595728085, + 231867476, + 477073965, + 861845142, + 997340667, + 562159463, + 791555177, + 933036962, + 919630617, + 991890122, + 533641508, + 111913788, + 347137837, + 770430685, + 966596215, + 789517761, + 15622591, + 878880933, + 838429723, + 87536533, + 107089871, + 958156581, + 317457945, + 470937298, + 658549520, + 120526017, + 398911736, + 495648158, + 962634974, + 683123276, + 233174638, + 593623029, + 59533463, + 555292373, + 916074943, + 715203445, + 308551417, + 132491457, + 606822484, + 242377876, + 721923700, + 279766898, + 677013424, + 67801523, + 392174584, + 760692157, + 616306868, + 830863895, + 568984885, + 885758057, + 646072871, + 389488213, + 936012736, + 825035475, + 694273067, + 609707201, + 549498832, + 769202902, + 80124465, + 619862295, + 941125442, + 466961056, + 752992179, + 617524395, + 939376758, + 416696347, + 272063925, + 916581207, + 467999185, + 330877532, + 97902217, + 456135207, + 588016342, + 318409197, + 955702828, + 169452209, + 372815601, + 953558177, + 173229027, + 160254603, + 756815397, + 126003671, + 816465337, + 211616926, + 870729289, + 541224173, + 802616614, + 54709015, + 715060157, + 954917809, + 783693485, + 240002319, + 415571143, + 961123860, + 432360387, + 308706712, + 570147447, + 971411368, + 218601449, + 245822791, + 933117531, + 538900362, + 789771776, + 778767732, + 881981565, + 2171709, + 91058936, + 349935, + 804923425, + 943907680, + 73735608, + 468730637, + 321088188, + 295225997, + 47626116, + 36940025, + 527621538, + 343337000, + 710544430, + 37101403, + 536356459, + 898041863, + 473031820, + 889408928, + 152729163, + 491844199, + 845213191, + 274236498, + 874356988, + 902372994, + 936190360, + 888703259, + 373734435, + 563851888, + 718212328, + 857856993, + 564684149, + 254268355, + 163235630, + 149113695, + 770328982, + 716736240, + 766985340, + 59903882, + 780538290, + 74479001, + 225646898, + 912993383, + 218081275, + 841303278, + 728186031, + 862678295, + 582317845, + 881655659, + 177687753, + 544693300, + 797152398, + 872117037, + 830570083, + 647237096, + 580406384, + 781605449, + 773554334, + 944175382, + 799099842, + 252136386, + 885675640, + 412256345, + 874467817, + 199323912, + 884450225, + 843859051, + 594796009, + 961664368, + 515624147, + 334235956, + 12361102, + 223189653, + 846897278, + 479520599, + 868462039, + 42034203, + 831006067, + 327404487, + 534987655, + 388396566, + 104041967, + 355441909, + 59894135, + 82707415, + 967046403, + 649875926, + 419474534, + 435077726, + 541363248, + 941242725, + 893560512, + 243281097, + 778738059, + 856009358, + 319002965, + 300200209, + 193521391, + 202981200, + 130253348, + 473288080, + 754261944, + 498561823, + 84827017, + 405566605, + 848841686, + 464233867, + 984137267, + 86639515, + 453927738, + 491775099, + 71232775, + 879986297, + 717437812, + 741982847, + 8062941, + 670427683, + 600259310, + 708058928, + 774072585, + 809949064, + 55477819, + 140225475, + 212521753, + 262100160, + 733846325, + 401219402, + 483657504, + 108712263, + 10503386, + 182953143, + 731632464, + 327131055, + 499937269, + 489486672, + 775729580, + 714559532, + 819764837, + 195210883, + 676757033, + 278092395, + 869717525, + 402793089, + 435118905, + 471251760, + 703343820, + 299747453, + 807816277, + 428123688, + 419448862, + 622822223, + 160391833, + 386639940, + 498754764, + 378918212, + 697589037, + 788662017, + 109506059, + 192531657, + 974326274, + 536312718, + 483465799, + 851114781, + 896831391, + 398436070, + 857930105, + 965616903, + 614521135, + 216697747, + 571146680, + 960896542, + 702901998, + 540602827, + 400361722, + 846965474, + 888631206, + 643751999, + 675541445, + 485751060, + 187694699, + 462202152, + 865310951, + 59781561, + 244877341, + 99274728, + 467335368, + 444790894, + 5567144, + 395532890, + 555006646, + 948895852, + 159908597, + 133669404, + 75352645, + 189885262, + 560462158, + 539850819, + 43170558, + 639071736, + 646367358, + 735268699, + 351500746, + 667241845, + 170085078, + 120377703, + 592565979, + 280065133, + 737931129, + 151968289, + 578735175, + 897264863, + 387075981, + 734597353, + 752095936, + 940743876, + 242230953, + 556826752, + 342725598, + 4721096, + 531862486, + 849129999, + 896392726, + 6342478, + 418043147, + 486035657, + 628950689, + 850180306, + 948994322, + 372092321, + 625238421, + 567363698, + 539196290, + 526296138, + 12706298, + 58515732, + 337109340, + 798470902, + 57252624, + 724778577, + 394680796, + 863457044, + 366176197, + 56221240, + 688009425, + 766140808, + 328079678, + 634580081, + 593373068, + 470828070, + 481159050, + 188456000, + 282129875, + 809618718, + 859464505, + 540454863, + 463207390, + 976563894, + 201715787, + 986165136, + 385500172, + 41380112, + 763885449, + 884268468, + 111264046, + 789814842, + 667363603, + 26322085, + 744351232, + 82473533, + 625533815, + 184145441, + 756955870, + 872372479, + 370709281, + 241455063, + 549664644, + 867143693, + 960969109, + 704506294, + 554781426, + 49778194, + 660749300, + 548171400, + 875039668, + 385779779, + 863526881, + 658267180, + 670232887, + 503867155, + 825889451, + 711768163, + 246621855, + 676599418, + 738841524, + 353931903, + 34105393, + 563003939, + 848458237, + 299079677, + 362381651, + 503946704, + 347220264, + 874876181, + 430842083, + 574587111, + 785038614, + 502458002, + 718553527, + 523664363, + 116419814, + 904631294, + 437231847, + 588589362, + 830651577, + 704416367, + 799007579, + 32067635, + 94219231, + 43872758, + 732775954, + 38817096, + 159901299, + 444817461, + 203789332, + 445315631, + 431255791, + 408220484, + 328531714, + 839346179, + 626508774, + 211971343, + 497067986, + 240376743, + 799096399, + 421208381, + 871106738, + 354581200, + 932452661, + 609008477, + 612119059, + 100188677, + 714532105, + 958342624, + 132325422, + 414544624, + 711658614, + 725417414, + 930413852, + 256083514, + 74897575, + 150446782, + 557746025, + 528359618, + 903726824, + 668027820, + 160652674, + 179226853, + 711606165, + 193773722, + 802605335, + 306521583, + 792619204, + 368353470, + 227863351, + 854154250, + 571549569, + 422895019, + 742258062, + 152094040, + 119397132, + 317332463, + 117582013, + 735871658, + 494764336, + 818751523, + 234393230, + 406150099, + 246569089, + 336742939, + 43506076, + 9848608, + 571727029, + 577549082, + 911096008, + 90465415, + 686417072, + 164839079, + 287734714, + 824779232, + 217469687, + 147010559, + 116243704, + 222287066, + 97823835, + 38981940, + 336614317, + 151510992, + 384744713, + 104335089, + 449977337, + 513161640, + 702387889, + 735265894, + 704002361, + 171917604, + 940488507, + 968348011, + 382830436, + 164914051, + 47841526, + 724144225, + 945113984, + 840478969, + 787684385, + 541087663, + 2905855, + 202057743, + 609027729, + 999730800, + 851678147, + 13833280, + 477974309, + 549363365, + 532201526, + 854327072, + 42111298, + 318201422, + 766125018, + 707557058, + 469213603, + 797107466, + 830378085, + 344619898, + 20856266, + 373012285, + 983722550, + 562064044, + 945137175, + 569025303, + 145290462, + 285168370, + 669771565, + 214065904, + 580794192, + 106154151, + 508691512, + 396537576, + 251198906, + 839639905, + 964155345, + 226630458, + 593651134, + 649821181, + 888177631, + 493774941, + 979513262, + 152381291, + 782835333, + 68216806, + 230994378, + 934878586, + 974279909, + 403163364, + 127324601, + 86418867, + 363622604, + 383688361, + 645331973, + 508705659, + 533696655, + 10005118, + 144276874, + 135846490, + 555696728, + 878428897, + 980338673, + 891800111, + 729663674, + 244541345, + 172035791, + 764141256, + 415277096, + 566102423, + 921843805, + 598473984, + 502763684, + 720363114, + 565433776, + 819966662, + 97639557, + 760982938, + 845841440, + 135175727, + 88936035, + 491090623, + 813435009, + 766261290, + 85176016, + 741676546, + 718231202, + 54211188, + 613079118, + 197663380, + 743496898, + 908651404, + 949835881, + 32909751, + 85044823, + 863779289, + 223737846, + 538724405, + 800244582, + 830670255, + 858194762, + 646462951, + 257004273, + 13025605, + 378403635, + 91688935, + 446488929, + 630545711, + 533862143, + 650537370, + 306778488, + 72406012, + 227908630, + 136997627, + 818789142, + 459251902, + 607777845, + 446396194, + 114885597, + 419576991, + 112482372, + 683674368, + 528115127, + 90541176, + 334503802, + 696006243, + 574751749, + 862224702, + 657911917, + 753165389, + 401856875, + 430631390, + 209680790, + 828915735, + 19086366, + 491859245, + 481053743, + 936468176, + 360301136, + 237221204, + 95057610, + 186504414, + 132218554, + 808207454, + 654657347, + 558429341, + 858606565, + 216541342, + 733592862, + 762973629, + 369481370, + 6324306, + 193557867, + 307481267, + 72225424, + 115824109, + 388535739, + 875803527, + 877902768, + 890236637, + 961380950, + 56558330, + 306036357, + 862509839, + 446155857, + 983730946, + 995260499, + 773020227, + 604508352, + 86976353, + 14001677, + 303729037, + 262045149, + 602562941, + 276385243, + 420893252, + 708705522, + 564929347, + 764734359, + 978457649, + 468899806, + 820456781, + 347103238, + 506657763, + 103865918, + 842439302, + 655053308, + 132762840, + 716998792, + 226754384, + 939345853, + 638063201, + 69962432, + 901469971, + 28071391, + 501138347, + 985039491, + 137866633, + 14051098, + 711230156, + 750481955, + 915644724, + 683137553, + 740611188, + 939755159, + 363040105, + 215961952, + 161658761, + 250781284, + 61823986, + 822252214, + 90423811, + 197391399, + 203172233, + 831252831, + 477714172, + 509616381, + 920839323, + 682317378, + 229437546, + 30422330, + 340084229, + 988062507, + 593694750, + 113769047, + 826290198, + 714956037, + 662675346, + 17757340, + 853203887, + 195882311, + 138838726, + 927416232, + 87118235, + 4341200, + 77895441, + 63210943, + 979217839, + 163082085, + 770992870, + 177243362, + 70630825, + 28712913, + 101158351, + 358005439, + 650220222, + 653879835, + 266542922, + 586678281, + 809682379, + 999369391, + 281451402, + 450684615, + 763810154, + 832141040, + 511771133, + 360815586, + 508028108, + 309226550, + 270168837, + 361000253, + 768713895, + 512406781, + 196670020, + 323201860, + 184942979, + 601365855, + 19137790, + 786617588, + 830160229, + 5022381, + 844627839, + 790242521, + 865197320, + 111782754, + 847272790, + 219433596, + 189783728, + 677102088, + 349070582, + 407493964, + 892515093, + 734711289, + 766600969, + 248443644, + 592680248, + 890056943, + 653289695, + 457456230, + 43479012, + 395363032, + 689201132, + 463611020, + 720827079, + 867972935, + 659549528, + 310690033, + 224484294, + 680012075, + 927650248, + 359224158, + 362134727, + 81877790, + 6815054, + 787970813, + 54132520, + 899821061, + 957075868, + 457803905, + 994306291, + 725421818, + 841698368, + 355514317, + 730016997, + 733903115, + 109996418, + 615475395, + 733849602, + 397240321, + 833493284, + 999810962, + 578383827, + 162040480, + 732334477, + 719071483, + 903323189, + 632592474, + 744270450, + 807135932, + 350525961, + 484851919, + 611494255, + 625171574, + 393109183, + 793287197, + 568146363, + 811795101, + 828431120, + 24815619, + 856507956, + 411678543, + 638642948, + 442490537, + 853887136, + 348219153, + 546343844, + 866814601, + 824839820, + 80467910, + 973461565, + 534603948, + 347702886, + 206812807, + 555201770, + 45932776, + 146318638, + 164709843, + 18342781, + 988207192, + 735848649, + 651160749, + 971575307, + 890738882, + 913672384, + 263375302, + 53215299, + 731455109, + 797466464, + 297591314, + 345760984, + 855650552, + 345687322, + 470088391, + 340629334, + 288229450, + 8818989, + 392781387, + 872535548, + 556472018, + 892028814, + 506173235, + 191595416, + 32805203, + 240147443, + 689011930, + 446750865, + 946111848, + 283180816, + 847948631, + 106757588, + 808798019, + 98725503, + 611138979, + 814125984, + 829867194, + 597771754, + 883993878, + 270661896, + 955150245, + 573880775, + 760301744, + 599284746, + 68902830, + 98426273, + 748617881, + 588927948, + 414993610, + 125616437, + 425727979, + 544164754, + 828151451, + 265575418, + 77391184, + 169371871, + 266895414, + 719968822, + 951371929, + 551814784, + 962004700, + 311408428, + 632840044, + 268544745, + 348652669, + 73204906, + 285554433, + 467442181, + 156469858, + 717254017, + 867963227, + 45600629, + 898238964, + 865193772, + 14234056, + 111851284, + 754291285, + 600691164, + 155520737, + 193171356, + 161757616, + 377698120, + 537997050, + 894240154, + 463915501, + 299499621, + 777557073, + 668404899, + 952249218, + 829645371, + 668729582, + 715850635, + 582890446, + 126921111, + 947266792, + 651332951, + 595868889, + 672037109, + 170032474, + 424332154, + 544483167, + 711681114, + 65863724, + 41043927, + 547614159, + 824348643, + 640140984, + 423635380, + 57789229, + 299215518, + 761486321, + 961403790, + 49995334, + 181509951, + 807294030, + 948723610, + 898750716, + 386916277, + 387609465, + 923212446, + 108539549, + 858376963, + 137577542, + 10041128, + 240252493, + 416176651, + 977206448, + 416062730, + 897854239, + 539570232, + 815097618, + 970902167, + 472086092, + 824133073, + 378017894, + 116013685, + 521337952, + 347423409, + 186219553, + 2672731, + 237214125, + 164817386, + 494128754, + 408385972, + 682490263, + 229375645, + 320483179, + 977738919, + 64918207, + 751643804, + 390727039, + 565173938, + 752882940, + 312693670, + 334128664, + 437691619, + 959371904, + 690549093, + 384911268, + 37769198, + 313218312, + 735327368, + 865607311, + 328963200, + 485959265, + 237256720, + 298136882, + 256432466, + 738015760, + 138776279, + 351147733, + 775904490, + 594695739, + 148720899, + 480613071, + 911896091, + 780914864, + 526778711, + 655584350, + 603344005, + 152776216, + 325711747, + 577373432, + 457554966, + 619247138, + 838235565, + 297923010, + 384806101, + 905569534, + 206638811, + 686734582, + 229246150, + 349944972, + 552137060, + 33268040, + 849867959, + 339517704, + 371319060, + 296766874, + 586112413, + 613218613, + 793845309, + 269093294, + 228213007, + 519383511, + 109049617, + 111233096, + 411401589, + 90167238, + 790774217, + 440834400, + 10282222, + 649403696, + 705138235, + 496039627, + 654506630, + 187408740, + 560375992, + 165662669, + 874737097, + 418967682, + 526677580, + 299780037, + 914504635, + 806894081, + 127048194, + 178466863, + 778264933, + 634910240, + 125805046, + 59021581, + 464540618, + 602340821, + 501915777, + 645994006, + 273883775, + 571739822, + 452246871, + 621470422, + 215880978, + 605810253, + 424364346, + 778675059, + 512120458, + 564173814, + 740852495, + 734979, + 913826247, + 816928255, + 854625991, + 91567632, + 766397120, + 563899092, + 72194112, + 603130118, + 768140955, + 922572757, + 525387278, + 549297349, + 744910600, + 350488832, + 293812736, + 483517644, + 68297164, + 289996484, + 568921045, + 494946629, + 899254236, + 988121680, + 16939479, + 477146586, + 529022029, + 808877631, + 255195475, + 464953194, + 211787757, + 910950025, + 509253967, + 261049824, + 819918065, + 805108560, + 96866729, + 719270792, + 823746217, + 990908510, + 872575411, + 776739651, + 236412794, + 379157703, + 178681375, + 863350710, + 637229057, + 364421795, + 958501759, + 474906222, + 93416458, + 757576931, + 692353928, + 65720221, + 533525431, + 968372271, + 372232274, + 28894149, + 283130376, + 914897182, + 675856315, + 493707306, + 4851512, + 127572903, + 684688957, + 834885973, + 202858390, + 27133126, + 83534539, + 633074308, + 639858018, + 814976301, + 445030019, + 222077622, + 506674014, + 638783245, + 758658646, + 695196529, + 455830785, + 502031298, + 426221388, + 176022553, + 182281360, + 685646697, + 769649791, + 415312776, + 357232799, + 820151709, + 14871740, + 97419160, + 291207176, + 383930063, + 872748970, + 329513752, + 899180528, + 814859293, + 244466821, + 37200173, + 189687928, + 182374609, + 108434949, + 613642580, + 666191221, + 686411773, + 909663382, + 523209093, + 540974132, + 616816474, + 374416684, + 570433819, + 568658225, + 464015205, + 2493915, + 539498767, + 277855521, + 106640490, + 170235390, + 833168690, + 252941064, + 499627644, + 311875344, + 603402434, + 303232621, + 703348106, + 164432629, + 213060330, + 425121548, + 267397950, + 570490869, + 484955758, + 233299368, + 693894349, + 396517130, + 758205155, + 911183562, + 273907710, + 303720724, + 708404775, + 630216646, + 746989138, + 790324962, + 328114443, + 119651626, + 504020558, + 420720593, + 341610613, + 450980626, + 471028072, + 276917983, + 208490011, + 272644317, + 229238480, + 45937922, + 903947527, + 360953056, + 683568795, + 731361533, + 297055273, + 132425725, + 745394836, + 841536742, + 641845478, + 639597758, + 657794935, + 100487195, + 60132671, + 380491646, + 226735480, + 933908500, + 278553355, + 493134792, + 716163966, + 684683843, + 96951533, + 589926379, + 834682082, + 868107249, + 333758803, + 972469559, + 357753297, + 147988249, + 156012254, + 247022930, + 645158713, + 655283276, + 214183096, + 738872732, + 534135258, + 380181043, + 515671964, + 807288564, + 783893707, + 106749038, + 509836999, + 763905058, + 351648150, + 478758310, + 653955933, + 694143297, + 951310405, + 626411157, + 60977503, + 358203194, + 854111819, + 697862020, + 808826516, + 173347159, + 172691581, + 728126663, + 678929657, + 694403152, + 415842944, + 514571277, + 209801547, + 199995791, + 362941867, + 857503663, + 70750322, + 986716586, + 533282920, + 375177208, + 230730821, + 49304473, + 769785497, + 322594474, + 965222751, + 427359002, + 961825669, + 56917650, + 514094444, + 894840021, + 235936298, + 5066562, + 537737400, + 166246998, + 525019801, + 539638845, + 453723276, + 526168086, + 901758004, + 742134835, + 459508062, + 430472946, + 472881606, + 150235067, + 424216246, + 323644603, + 705448611, + 48095770, + 929382194, + 130971811, + 399041126, + 191376243, + 745683471, + 781411493, + 174018490, + 932002126, + 444121426, + 217676149, + 230443947, + 586896524, + 216123837, + 392536487, + 134697473, + 757002259, + 126711098, + 115053, + 868139443, + 359270286, + 891072164, + 643172370, + 256389054, + 696250989, + 874976664, + 243912631, + 792719294, + 99709519, + 470584091, + 951434779, + 996288908, + 484579657, + 502024214, + 655574893, + 939266848, + 894899820, + 310971626, + 181761008, + 769697388, + 466222996, + 953276170, + 867908727, + 949809579, + 46938621, + 972020530, + 144546474, + 654147725, + 425954274, + 377709221, + 892875942, + 647689730, + 916098244, + 734356354, + 654274781, + 233615290, + 316232134, + 277689697, + 483978150, + 846424118, + 604304357, + 52009596, + 657443526, + 698891562, + 413823841, + 959911907, + 425218606, + 465379798, + 988519973, + 683291111, + 781401759, + 743010302, + 58305401, + 591032606, + 186318887, + 631235494, + 708800244, + 527875684, + 481448372, + 940581742, + 905375778, + 227015602, + 441243962, + 421028568, + 87934933, + 695746265, + 124852762, + 692351980, + 408924842, + 679093951, + 606352107, + 765422020, + 579044413, + 844690216, + 913165806, + 653940501, + 55402321, + 666337666, + 401746611, + 799418238, + 40032139, + 55138563, + 557569706, + 980602054, + 89706977, + 169375333, + 276048958, + 13114391, + 108640527, + 266087164, + 847545633, + 117451734, + 11391210, + 756116576, + 399313777, + 595189956, + 832237743, + 76220779, + 69716339, + 61911736, + 740965143, + 957590302, + 896645567, + 90953293, + 599581075, + 699778007, + 6451958, + 525024557, + 943472695, + 448431511, + 947499788, + 238960600, + 48063582, + 781102445, + 598501845, + 832142741, + 424912835, + 681603314, + 111991617, + 237575742, + 487835635, + 310487870, + 235438739, + 374600591, + 345901369, + 296547555, + 170364144, + 554608765, + 977899923, + 470270120, + 544438004, + 488832457, + 662799491, + 416700528, + 642491100, + 539052181, + 242908843, + 464007083, + 928515538, + 641724617, + 795379603, + 668076617, + 777836533, + 421386259, + 825050543, + 374130836, + 640140445, + 800390681, + 991921698, + 31997363, + 926751678, + 724784616, + 522113326, + 730057048, + 358744444, + 522077981, + 429130500, + 506514562, + 940983637, + 567258078, + 832874740, + 405565625, + 853763392, + 43686520, + 698285129, + 86089714, + 630724579, + 904627071, + 85464978, + 210943608, + 41397655, + 215638016, + 111338655, + 839696857, + 26251128, + 490434156, + 701564918, + 424964618, + 57141625, + 275895833, + 384382577, + 60395938, + 371782056, + 978297660, + 249358903, + 120235952, + 154369612, + 724934210, + 670376369, + 164022320, + 285097697, + 294943095, + 347593798, + 239068793, + 221374769, + 911888925, + 20810260, + 332106836, + 640930275, + 95822139, + 1571993, + 857472911, + 505560884, + 134575040, + 192300340, + 216800821, + 916722277, + 22697206, + 63092652, + 126932824, + 272898142, + 978278714, + 863336602, + 307257414, + 644789132, + 114949687, + 803123112, + 936806656, + 622383655, + 98645538, + 799440340, + 798235890, + 878331360, + 744176258, + 613194875, + 955177586, + 571424086, + 123261161, + 388334883, + 22161920, + 830208349, + 222479395, + 657022868, + 629997484, + 650837708, + 436611625, + 502956115, + 858342921, + 767141198, + 562043633, + 154452049, + 732399631, + 886837771, + 915392338, + 97463820, + 833755489, + 815743615, + 876690189, + 754387721, + 596934133, + 237758340, + 607116416, + 578004649, + 295812424, + 387351519, + 248063391, + 828957947, + 1550994, + 776291279, + 626926862, + 383173201, + 124062736, + 381941393, + 88375767, + 628349375, + 228404250, + 810446242, + 339874162, + 288674757, + 30274780, + 573959479, + 311136749, + 649514199, + 510522767, + 116464740, + 700517948, + 173495814, + 60711956, + 73649675, + 466086525, + 713505871, + 50245889, + 761309518, + 896494345, + 205290016, + 398301842, + 541729999, + 639678325, + 539101654, + 841894603, + 789326330, + 620573150, + 95480033, + 425444394, + 464780613, + 14567395, + 567446450, + 358955387, + 754997130, + 344779860, + 994686926, + 479105276, + 781249480, + 552550701, + 541023558, + 559550067, + 186215723, + 845108855, + 585371176, + 346453600, + 622647901, + 291909496, + 304646781, + 546342238, + 403462827, + 567770394, + 892012882, + 671807324, + 610996877, + 628356398, + 500972723, + 251721401, + 757622414, + 578744132, + 41566093, + 9568131, + 18352636, + 88567796, + 849312380, + 474459981, + 855209670, + 376845396, + 617717670, + 461377953, + 898393064, + 677685131, + 853714850, + 889087342, + 691111191, + 652897809, + 9629863, + 846284216, + 250013301, + 681831615, + 146216915, + 74441364, + 44783228, + 149685860, + 982578065, + 155567299, + 190022990, + 850704534, + 836388533, + 597196207, + 756593216, + 841175392, + 687798653, + 739389988, + 734568027, + 119179462, + 625144506, + 848311679, + 407165036, + 612966752, + 222443754, + 717903465, + 858963226, + 779095569, + 29576749, + 23450977, + 396596171, + 330689083, + 296585309, + 894198556, + 268808083, + 79031758, + 463746971, + 785735619, + 453078891, + 572862374, + 948022947, + 326894415, + 504270119, + 310073495, + 27267677, + 508616153, + 187970481, + 105307744, + 369310499, + 834261881, + 569395278, + 416503699, + 322101103, + 145496130, + 33195306, + 301653691, + 57948658, + 523720429, + 874749261, + 249140430, + 117623766, + 807109538, + 427178967, + 162606081, + 378210922, + 169888597, + 939799642, + 117199998, + 452904852, + 122981576, + 73820623, + 197142045, + 278056391, + 236750944, + 190856587, + 124521692, + 383483540, + 870736136, + 265390031, + 902240416, + 437596301, + 32132324, + 852149148, + 372407666, + 928227112, + 715295008, + 55130584, + 276247578, + 606487756, + 108154824, + 994727654, + 108895351, + 766250899, + 412822602, + 76179954, + 847030443, + 341593517, + 972216081, + 625283404, + 124182160, + 125781969, + 770409923, + 883526511, + 573419987, + 786431992, + 476181233, + 242298802, + 993917602, + 63128982, + 201099333, + 972419967, + 498453655, + 434307071, + 594093257, + 325199559, + 764372691, + 970931812, + 218432404, + 455107601, + 469627287, + 343738169, + 721363964, + 274813908, + 342867048, + 659546741, + 229858823, + 630855536, + 227482130, + 191487859, + 899395453, + 46299454, + 669641858, + 923792841, + 655108394, + 664367402, + 602526320, + 753894114, + 475465625, + 298622488, + 710297840, + 812077387, + 536543915, + 503427692, + 265335817, + 544833914, + 344781073, + 335608224, + 253432638, + 514317276, + 558200155, + 290148653, + 143565795, + 332531400, + 92969872, + 299839582, + 699073611, + 184200003, + 916822299, + 383203031, + 311209714, + 258914924, + 839187152, + 711744075, + 651214908, + 713550902, + 441877562, + 420316239, + 907821188, + 271030378, + 804524425, + 128415226, + 858498825, + 152613717, + 11512781, + 939130778, + 692488873, + 316668234, + 274751254, + 521722106, + 317949444, + 320029798, + 507956819, + 977129996, + 298083709, + 108994110, + 684317112, + 380056639, + 144209675, + 15342600, + 447044468, + 765423875, + 48236296, + 174826807, + 658821509, + 764772643, + 889994168, + 309392498, + 223069150, + 287830877, + 430174418, + 44103118, + 27519562, + 984923190, + 684730172, + 854503209, + 419778214, + 624666155, + 270862172, + 712587673, + 120689347, + 452053366, + 333894647, + 102761822, + 121739403, + 70021915, + 902051317, + 462099698, + 998048893, + 125394992, + 68415845, + 77675755, + 103172688, + 335872898, + 635883541, + 733654249, + 160769416, + 344575352, + 131401880, + 506025979, + 748148989, + 339407135, + 17650055, + 158931775, + 98483801, + 230211253, + 362670497, + 907102110, + 30027368, + 422739660, + 865655468, + 438526248, + 857875444, + 917146138, + 405463502, + 934653188, + 948280556, + 906147263, + 467743883, + 821038711, + 126953928, + 711335709, + 795905877, + 11738083, + 560510584, + 77624907, + 280870332, + 97316667, + 568125745, + 291531802, + 842517797, + 670786251, + 148039660, + 662838808, + 644807830, + 307005460, + 905002073, + 102117, + 979690884, + 121507443, + 535874430, + 915927883, + 783875096, + 772908659, + 150258119, + 554097668, + 771162127, + 795120707, + 907263678, + 377352943, + 512206045, + 802229876, + 613970044, + 922132088, + 959884541, + 195919579, + 234957261, + 756346462, + 86922170, + 630496699, + 980744464, + 887628692, + 135489759, + 262207956, + 108756335, + 402008450, + 491626817, + 200622718, + 47062561, + 384948491, + 583912654, + 497365817, + 699099633, + 32596187, + 26432515, + 216004672, + 551022481, + 565280290, + 579221053, + 673751391, + 482116187, + 35082062, + 704514749, + 87260487, + 197460734, + 722916692, + 61113360, + 340664545, + 809561966, + 741967525, + 314239966, + 780821427, + 148376317, + 577942357, + 223400499, + 14676614, + 399985208, + 186444345, + 833550255, + 923992473, + 210554629, + 296822347, + 223343935, + 473803445, + 264649424, + 211651339, + 330608627, + 806313703, + 890351729, + 833091865, + 792908217, + 502817965, + 289862184, + 871358122, + 185285186, + 356021130, + 536996290, + 274244797, + 387175493, + 22257786, + 421680652, + 516474669, + 945147399, + 648356888, + 833214657, + 589949452, + 100575166, + 933309403, + 481348456, + 101423446, + 80467341, + 705000864, + 445830455, + 496810453, + 442005704, + 222394244, + 409126554, + 536927672, + 444532098, + 698708316, + 322794606, + 42789316, + 933549386, + 544181836, + 835864049, + 946031837, + 707996345, + 587933135, + 13404017, + 817236937, + 454279812, + 873845621, + 631728400, + 450812793, + 243815532, + 620311627, + 788863482, + 824227245, + 501932579, + 980905275, + 537728820, + 334102732, + 295727372, + 377406913, + 54121080, + 177432473, + 779935932, + 836740143, + 337962597, + 497632721, + 929191435, + 382555045, + 459554767, + 211282907, + 811017252, + 905404774, + 28751095, + 612862368, + 702008322, + 964396433, + 583590436, + 412777007, + 793180054, + 230081580, + 943387628, + 480598207, + 623083957, + 450770058, + 684873961, + 992130610, + 441834380, + 592039282, + 467947766, + 157846133, + 462752014, + 221814503, + 837618991, + 123993926, + 82846209, + 386751184, + 985446222, + 69681307, + 142821884, + 705821086, + 734535115, + 302716064, + 918581344, + 597589854, + 979744541, + 780801590, + 151258415, + 243034333, + 239523754, + 313413537, + 535062165, + 987610145, + 279388201, + 413402183, + 105118646, + 994678408, + 595518022, + 893264470, + 7417830, + 29797095, + 845804301, + 496751681, + 572463388, + 589587821, + 673241557, + 21681909, + 527075932, + 735298391, + 291486978, + 153414423, + 955731850, + 394656414, + 504455013, + 602586638, + 637419903, + 552072418, + 744786479, + 182079054, + 516090542, + 55491040, + 860505264, + 265298337, + 910170102, + 148606277, + 550711, + 607449069, + 627439041, + 711229389, + 400867143, + 424323405, + 114257153, + 72529876, + 511538404, + 211256457, + 657732567, + 485383523, + 547772476, + 547358131, + 163132628, + 205849393, + 65393657, + 328404506, + 304144094, + 823318138, + 212474880, + 75012680, + 128569206, + 60448465, + 628809620, + 742831879, + 54377260, + 229268320, + 508761910, + 997417432, + 532507571, + 546257816, + 775654435, + 142993702, + 249584721, + 949102043, + 575853896, + 699315409, + 142763379, + 798850650, + 689353203, + 882075789, + 503968858, + 92439900, + 955548076, + 231713117, + 465665225, + 466065889, + 393895450, + 640623601, + 98743282, + 269656946, + 536613385, + 504555471, + 339593568, + 386667000, + 18716008, + 183050910, + 754388904, + 403854704, + 220374593, + 835351990, + 917362804, + 93211943, + 592881293, + 850174752, + 507600220, + 118861554, + 611403710, + 548850607, + 118153251, + 687864045, + 686090623, + 609436203, + 159582640, + 43355598, + 411966569, + 252462984, + 427929900, + 661444374, + 906160928, + 187694341, + 631642231, + 248270882, + 872526568, + 31187265, + 606118115, + 665042027, + 445286874, + 851674831, + 584286173, + 863563866, + 855450125, + 869440466, + 739538267, + 928009841, + 46440357, + 502663000, + 430070375, + 192526732, + 31874965, + 903062980, + 382954155, + 99090212, + 996881890, + 990785198, + 903604446, + 698467356, + 689333110, + 700654846, + 55985401, + 938640394, + 232949478, + 536865646, + 298638779, + 365760104, + 493984238, + 187048744, + 772564891, + 221382283, + 26186949, + 497620193, + 956684631, + 847688900, + 794356533, + 433613864, + 927520671, + 529879643, + 616219167, + 226237514, + 275097770, + 444190359, + 699467156, + 114473728, + 597862221, + 365473972, + 852565186, + 217690366, + 951917084, + 334048142, + 379477186, + 27997477, + 471780069, + 298482411, + 861703550, + 880374312, + 713684835, + 260106274, + 427812218, + 544283034, + 863526030, + 143727961, + 425242482, + 421171099, + 579058349, + 491153067, + 753284777, + 843699358, + 916524733, + 221081765, + 367418885, + 534403386, + 262407867, + 543578996, + 80818438, + 70951183, + 678909670, + 468795248, + 557483631, + 468769780, + 150177164, + 677608207, + 554731952, + 271257442, + 563831344, + 112369539, + 127008074, + 587603809, + 200603435, + 701198375, + 26557324, + 474202748, + 984144946, + 255756859, + 749146472, + 377941006, + 605371998, + 593708874, + 917524006, + 371614878, + 743622904, + 511807870, + 835668962, + 358792619, + 185324611, + 581942111, + 618806695, + 456858673, + 411154485, + 701154380, + 575569289, + 443661543, + 460171001, + 87549866, + 981433104, + 800410752, + 185573811, + 813217933, + 232721518, + 422708343, + 538107507, + 217611337, + 610048458, + 987093930, + 232072260, + 82754929, + 712384275, + 2786805, + 783219078, + 698644674, + 573266768, + 85958837, + 308946455, + 548828271, + 287490875, + 498974622, + 962049388, + 12874718, + 861300395, + 788513573, + 914025665, + 84575144, + 563249867, + 507032375, + 600255876, + 376751574, + 105694271, + 724386688, + 759500505, + 278236706, + 99261945, + 695291043, + 70200538, + 436152179, + 430745886, + 778174756, + 737530107, + 246662136, + 429761447, + 791600337, + 777754281, + 468862342, + 759190538, + 128049729, + 734583859, + 971610497, + 583250102, + 48232392, + 552219440, + 839160534, + 862049099, + 65657432, + 479461291, + 767376095, + 760807519, + 127344486, + 198325667, + 630831439, + 796300787, + 381056694, + 102915665, + 362444112, + 52718319, + 60112500, + 628290008, + 387598945, + 326938880, + 371633937, + 442672959, + 14924415, + 830002670, + 5402449, + 479001138, + 126893908, + 152933587, + 653119137, + 396189589, + 32587858, + 147497141, + 622125894, + 971081348, + 160558586, + 398991125, + 238809427, + 451575568, + 975578324, + 466056822, + 212132492, + 803331093, + 172203591, + 744840716, + 291778247, + 386046365, + 236414231, + 838046457, + 756067586, + 348862889, + 108431964, + 637330101, + 915570232, + 204930104, + 483588234, + 660881673, + 833161033, + 923167737, + 823748946, + 881610956, + 298385138, + 569150964, + 284413680, + 750628659, + 977144252, + 441828026, + 734662739, + 657527458, + 95148126, + 470385839, + 965726511, + 213638782, + 348560487, + 80161183, + 281421848, + 797136782, + 801589810, + 364802334, + 867239737, + 167549135, + 348455648, + 612588607, + 602222808, + 269754597, + 82021429, + 860912224, + 540358324, + 533848707, + 1663625, + 943789921, + 994103700, + 761923860, + 414763804, + 609404966, + 445716060, + 50521175, + 437672112, + 93080132, + 756852947, + 153650599, + 187332027, + 181371707, + 822722155, + 71926247, + 68227547, + 716404947, + 561875674, + 373443029, + 363785794, + 178282051, + 597078228, + 302442205, + 792967657, + 902922246, + 815355688, + 101052735, + 64451464, + 206271470, + 467239626, + 27572433, + 730045697, + 789132546, + 158542177, + 452195896, + 489527629, + 185785094, + 560819405, + 451849829, + 40198825, + 803879645, + 93282749, + 804321461, + 93831396, + 274517867, + 705471621, + 102972677, + 387281324, + 842262796, + 178665010, + 336853449, + 969928579, + 460034963, + 263791127, + 454786864, + 612544492, + 365176543, + 469927936, + 594215866, + 995536217, + 885063704, + 211530428, + 473415159, + 37147314, + 258307045, + 661641928, + 288126494, + 783407021, + 996852781, + 911217928, + 489652823, + 51017878, + 908904759, + 51986151, + 803672625, + 857437564, + 496137798, + 30149546, + 903658032, + 172784717, + 295499493, + 915433889, + 150243570, + 717051074, + 990201906, + 9132803, + 394801138, + 685561079, + 692166514, + 952374907, + 498049150, + 107253974, + 894845502, + 397224391, + 492403405, + 812638217, + 30786333, + 802178024, + 451338840, + 415147449, + 983324397, + 385624237, + 243498995, + 127672590, + 502375938, + 664518170, + 48467405, + 389113596, + 4474627, + 157932724, + 177464993, + 866636716, + 950245277, + 263041178, + 656402356, + 605641331, + 495544485, + 116388505, + 307287636, + 708550557, + 906548173, + 411887450, + 913647044, + 798471602, + 286061659, + 976456296, + 108784299, + 18696377, + 762880782, + 462418643, + 204245298, + 971613961, + 142291277, + 906960429, + 548372594, + 690489728, + 853749016, + 242543477, + 32289461, + 874164142, + 70452467, + 604089835, + 1341973, + 964185035, + 917166572, + 550196171, + 761594272, + 620566452, + 61035675, + 260018754, + 931420600, + 499625628, + 259790475, + 9693130, + 982468431, + 317378819, + 325141551, + 777671027, + 18064195, + 200113735, + 703945737, + 448211270, + 229330282, + 636535269, + 2492629, + 95087756, + 84143037, + 54211884, + 843512513, + 755078917, + 239593831, + 843906871, + 145422074, + 26616642, + 117556511, + 335550359, + 53340257, + 188897110, + 226789277, + 772597829, + 952914736, + 553000377, + 308693149, + 819232713, + 504158979, + 672694087, + 129020052, + 913618956, + 31087628, + 12091558, + 916697904, + 449193493, + 114122927, + 209367711, + 647579183, + 182477319, + 789253944, + 927297270, + 165279368, + 420889228, + 888790417, + 21784247, + 115343255, + 973993941, + 727060753, + 850063060, + 269751479, + 95425835, + 964065018, + 523282656, + 405589149, + 772765391, + 340302667, + 890136265, + 283292665, + 546698202, + 989559670, + 737137916, + 923147199, + 183957401, + 192978258, + 189434419, + 759529449, + 174218234, + 164810975, + 606912945, + 459223749, + 456388180, + 412049780, + 789934571, + 327206118, + 666789787, + 350906399, + 631172824, + 641243294, + 123746251, + 70932494, + 841873730, + 195630248, + 861839883, + 984103063, + 685107299, + 822614627, + 866095524, + 631094696, + 961022913, + 590480772, + 294304843, + 646241887, + 116934945, + 609049700, + 20725361, + 227602979, + 805091251, + 268654597, + 785876780, + 472409626, + 536808849, + 754691167, + 194356215, + 107171381, + 2880023, + 456832705, + 280261077, + 831019323, + 997828482, + 759094429, + 654088655, + 470097007, + 841700280, + 19543394, + 933463141, + 35492276, + 772106970, + 745924732, + 477628475, + 204059872, + 709574458, + 109180162, + 455436527, + 113527887, + 589753855, + 64090089, + 867812833, + 921233803, + 863945408, + 455217386, + 349456195, + 471700479, + 210792697, + 977432664, + 337214254, + 79218757, + 446340576, + 716306479, + 170145914, + 406086831, + 829303634, + 867615331, + 506838418, + 416230002, + 611868420, + 772295133, + 922751639, + 981419135, + 44842464, + 43987051, + 96654235, + 942411568, + 329108060, + 6316197, + 995583793, + 736108837, + 452555357, + 327056104, + 651881158, + 562595976, + 86648982, + 366811158, + 209031286, + 407124425, + 122013472, + 824528362, + 984821247, + 683693460, + 73008278, + 384563378, + 171043810, + 736283913, + 292396415, + 339032515, + 199981852, + 752300446, + 4732387, + 230335129, + 657187462, + 574812300, + 310686240, + 67631309, + 300882348, + 157014510, + 548920462, + 238945636, + 198833601, + 970375609, + 64484990, + 836846530, + 287040875, + 89122495, + 639708554, + 364189694, + 398363045, + 299520774, + 648883862, + 761466178, + 99196379, + 151178488, + 767483132, + 881560900, + 785403252, + 630620891, + 354131885, + 992104494, + 714228281, + 349166385, + 868010963, + 367587778, + 126621826, + 179132663, + 468084160, + 111258767, + 127956917, + 352284708, + 296197177, + 431848960, + 959074166, + 878132058, + 103194743, + 475244318, + 469846826, + 166468299, + 816791008, + 19103245, + 423703346, + 845831112, + 876171765, + 402203026, + 70797383, + 376209559, + 554300052, + 476570954, + 208779860, + 410781991, + 959649652, + 498149855, + 743274323, + 608556278, + 67642028, + 288029635, + 593389850, + 645467604, + 139145958, + 441673867, + 691269098, + 662155350, + 207027061, + 93805382, + 519000743, + 212417602, + 528324909, + 479352134, + 323074134, + 433029390, + 81464130, + 698502328, + 653460537, + 657964318, + 788613723, + 211316966, + 697568450, + 384932735, + 513262351, + 933635291, + 698793933, + 74109858, + 351107727, + 458465006, + 64009026, + 619700931, + 638372753, + 812659218, + 417724236, + 311272381, + 356175554, + 855770544, + 842714713, + 293945836, + 404135702, + 875881088, + 561918389, + 543056012, + 552974044, + 447766610, + 237437930, + 328714154, + 325467462, + 33867673, + 615839298, + 471891443, + 989410506, + 787738187, + 49307100, + 475915086, + 703457969, + 153074060, + 32272054, + 321941683, + 997657072, + 670370406, + 572670962, + 349024146, + 414784721, + 941606646, + 883027884, + 814560973, + 326659499, + 691864088, + 556008031, + 336978785, + 962602386, + 839382890, + 494233291, + 909769539, + 351258565, + 240698854, + 511256941, + 353898293, + 163089633, + 269788296, + 577693874, + 712027283, + 706362795, + 440854514, + 783894872, + 690477947, + 18436334, + 146052250, + 646257436, + 348097726, + 983349089, + 483747684, + 563044737, + 450755163, + 855282076, + 686080119, + 538999184, + 566069905, + 730215846, + 19776543, + 732743795, + 113950847, + 709310298, + 767459128, + 623674767, + 192803424, + 311828444, + 633332532, + 465535625, + 139734057, + 783507155, + 991084923, + 404626513, + 493811622, + 50729136, + 147959457, + 300005264, + 627509132, + 991984257, + 43285289, + 123408021, + 339002812, + 6442330, + 40168824, + 995610208, + 823156152, + 137327698, + 674334257, + 568965138, + 468993588, + 679442740, + 538305224, + 492549043, + 787182647, + 319239553, + 350901919, + 787968536, + 357226434, + 331749326, + 70564748, + 771681235, + 410663800, + 896943772, + 646544713, + 874137591, + 216188898, + 343984111, + 773084220, + 726745540, + 398067119, + 199468967, + 585868074, + 25961489, + 500695429, + 989461266, + 121573285, + 790179037, + 213010435, + 521766615, + 86547792, + 894909729, + 489385449, + 170643496, + 35847729, + 19320805, + 492855592, + 743207707, + 592702471, + 319734901, + 128221613, + 525339826, + 269199749, + 686641834, + 170585131, + 53263260, + 909790347, + 322079170, + 887766056, + 566474497, + 899610144, + 594299463, + 65488099, + 253760287, + 255957005, + 408370103, + 643606868, + 184063258, + 349314977, + 717521204, + 775544013, + 691344900, + 225752669, + 182398353, + 128411811, + 164375273, + 487393422, + 93785379, + 489806204, + 89570248, + 846472334, + 831539871, + 645020385, + 53130637, + 241009500, + 661512133, + 927025869, + 14791444, + 657782639, + 499786962, + 961947570, + 905695879, + 889253410, + 407370681, + 623844946, + 890810903, + 253539852, + 748963926, + 119034505, + 864159548, + 750805705, + 689724202, + 450116139, + 818704301, + 479718014, + 112504023, + 286253109, + 123733959, + 378218282, + 393610880, + 176410741, + 70302748, + 463436044, + 944913479, + 185758270, + 373724659, + 918662294, + 400349959, + 641567297, + 959395052, + 169489353, + 139799116, + 789276735, + 521574740, + 787901250, + 544148090, + 366881168, + 924007307, + 724620443, + 144061441, + 589906820, + 467678243, + 636782546, + 549990135, + 599887231, + 300700479, + 829091243, + 733818773, + 201401033, + 7244160, + 11553420, + 662927308, + 500263678, + 905054490, + 783200036, + 911904073, + 200784470, + 950224498, + 694891057, + 623521635, + 105475825, + 967106642, + 994515796, + 985241658, + 925519025, + 798517936, + 825056698, + 259899342, + 322489882, + 511787252, + 383107365, + 941260153, + 382972505, + 962814236, + 608756627, + 926571706, + 286495217, + 876790071, + 199533558, + 144835798, + 462661283, + 156096027, + 241955116, + 441411820, + 354235452, + 753245641, + 757497145, + 724591365, + 362072743, + 446059002, + 840839407, + 121158062, + 704842565, + 895178492, + 339384571, + 131622645, + 887036686, + 663783842, + 874125293, + 965362061, + 387827664, + 812435164, + 131760913, + 642646565, + 493401004, + 612136242, + 771900662, + 182569964, + 670445404, + 149858458, + 532524168, + 881434921, + 631164701, + 728408894, + 129383526, + 413081944, + 59372567, + 102679410, + 926904487, + 672143526, + 817721021, + 361016125, + 792639577, + 337389253, + 600717499, + 189200865, + 595521319, + 616380678, + 165360987, + 198787050, + 504677557, + 541145199, + 604760555, + 516406898, + 220853071, + 667870934, + 661335854, + 118942040, + 338991649, + 136148740, + 795010415, + 151262017, + 93304104, + 134821879, + 253653887, + 256861757, + 675331235, + 597314108, + 275989695, + 329674755, + 9554267, + 54025976, + 940680952, + 34770037, + 320072902, + 993938943, + 89527372, + 234497428, + 598747178, + 98639246, + 658373476, + 353399588, + 964723799, + 44392584, + 726330607, + 804391587, + 77644147, + 91810584, + 716265710, + 208985950, + 956459216, + 125352141, + 39565889, + 570790418, + 999508368, + 214983911, + 506148375, + 1830495, + 510862771, + 613604370, + 893443212, + 379497383, + 93803389, + 899913808, + 381283022, + 709513887, + 194619626, + 329991324, + 78526345, + 950439664, + 905949153, + 313288224, + 164241010, + 463315704, + 91247292, + 715772595, + 701723929, + 546570225, + 470361048, + 963014288, + 85419086, + 354057375, + 438976318, + 454365080, + 86857882, + 730205728, + 865422924, + 294812948, + 844451220, + 154000613, + 729459795, + 297949160, + 917459813, + 131316783, + 528022606, + 759982883, + 711532674, + 400454218, + 277840994, + 828948352, + 863507030, + 233377297, + 997831067, + 895136436, + 803073800, + 535758296, + 819127355, + 425722882, + 37825977, + 456946713, + 313487464, + 942231049, + 667335359, + 823958951, + 630662182, + 268322708, + 757236929, + 334097918, + 790977093, + 374484815, + 712338406, + 443126062, + 47550849, + 34885942, + 420771583, + 389652981, + 928033691, + 568641930, + 218793859, + 769859899, + 582018664, + 656773374, + 861095043, + 494943623, + 747769398, + 788793474, + 797221580, + 740187084, + 800424962, + 43411955, + 831068666, + 987480050, + 851862503, + 324652663, + 505481015, + 501412158, + 526878656, + 585903468, + 636585410, + 869150159, + 122285485, + 391014296, + 323462361, + 648186533, + 437562337, + 830706630, + 633730711, + 487384309, + 282637221, + 414144823, + 719628351, + 423708291, + 707665418, + 944231503, + 776275213, + 5727132, + 903728392, + 413125398, + 690182629, + 803602248, + 333282596, + 11367105, + 244462650, + 764914559, + 609785263, + 497636887, + 201501716, + 165570983, + 206973115, + 983356136, + 525217798, + 340640558, + 27839764, + 551539338, + 42859006, + 128624748, + 902688434, + 250173152, + 119745670, + 562177080, + 66379953, + 252345987, + 156984854, + 765318750, + 608433502, + 459621515, + 227103320, + 876284005, + 761254141, + 427165774, + 92636386, + 913419165, + 769445800, + 4737033, + 220368607, + 165159109, + 948149168, + 194673369, + 791747464, + 595191901, + 494803458, + 575968485, + 897326320, + 485961647, + 303177652, + 435169151, + 961105254, + 473893641, + 786488664, + 327961475, + 199911801, + 70313714, + 134366967, + 383977927, + 451794604, + 317289429, + 68871036, + 585726630, + 100701868, + 441223547, + 194415462, + 518852541, + 7732306, + 292557169, + 667841823, + 17061579, + 439986594, + 716555218, + 256931101, + 324700067, + 377523696, + 865999332, + 666319565, + 85077601, + 566605840, + 436284767, + 731359232, + 319619808, + 721694381, + 315100832, + 680606983, + 148253136, + 344015631, + 255935660, + 135090679, + 751255722, + 208813107, + 447032024, + 943753744, + 317456000, + 39261297, + 121812475, + 519119517, + 920515611, + 619900050, + 881870880, + 496976303, + 649665773, + 393296258, + 347997265, + 301661894, + 150030699, + 519011061, + 885786132, + 447053672, + 965734572, + 32590280, + 632044402, + 40853537, + 597414551, + 496382433, + 861641306, + 362585790, + 770878143, + 330910457, + 608891230, + 271793534, + 260065285, + 749820792, + 947792540, + 214599342, + 466207845, + 495644254, + 48653050, + 325558804, + 884726568, + 42048855, + 14920080, + 796880940, + 380680947, + 658726321, + 563698445, + 387112943, + 855377395, + 619788393, + 71946350, + 258031921, + 452196951, + 928121771, + 622026369, + 347389218, + 725211679, + 756516438, + 482376879, + 902727364, + 282704559, + 55306934, + 517619852, + 836073444, + 317959502, + 905928742, + 291885742, + 226974811, + 780889766, + 217520909, + 135615153, + 997345511, + 705178997, + 4240295, + 62781769, + 783213975, + 57209856, + 360543485, + 292519030, + 334195795, + 976518151, + 506598610, + 849151253, + 60240374, + 348258984, + 515371581, + 800784023, + 24037111, + 602096834, + 709240161, + 307709798, + 650217832, + 13430132, + 761548158, + 717975634, + 999443620, + 637853664, + 625095127, + 454376941, + 637440609, + 287586763, + 334647973, + 980645610, + 422494714, + 626290215, + 346481503, + 643293753, + 730766914, + 608893154, + 929852117, + 660566422, + 48426236, + 306885361, + 255310417, + 920057578, + 385613169, + 155955548, + 139247653, + 980976702, + 367478384, + 399574776, + 278967053, + 466060271, + 261359021, + 871488412, + 553405687, + 871266891, + 615631311, + 87822237, + 822101501, + 792200950, + 118906384, + 594841654, + 939431791, + 65195004, + 848063644, + 405439026, + 986006204, + 637145860, + 920845304, + 483484701, + 159691455, + 894601000, + 539803375, + 204400391, + 357818744, + 61458778, + 453772285, + 509821462, + 163741611, + 204105020, + 904871383, + 227797265, + 49068354, + 239623486, + 543453994, + 902827596, + 214368868, + 534559344, + 717186469, + 473772708, + 342743418, + 105787933, + 573262939, + 100956792, + 90594381, + 639253991, + 399560554, + 763740700, + 951852462, + 606132629, + 140244965, + 401034041, + 819290077, + 747828409, + 99414241, + 334657969, + 650313812, + 901796010, + 805822583, + 8291026, + 930173250, + 86660904, + 598274135, + 741217387, + 360511327, + 163975600, + 530233829, + 784456925, + 225893227, + 871515415, + 781947096, + 185932030, + 749559795, + 639393243, + 717969245, + 26987564, + 999368190, + 140600628, + 473643487, + 377185764, + 779976882, + 686544156, + 55056651, + 954295305, + 760289446, + 30137113, + 869413687, + 683140231, + 920314600, + 639744752, + 548602345, + 345139341, + 558838483, + 382843061, + 220279155, + 840132385, + 656809855, + 998155886, + 809036415, + 372746251, + 672315731, + 238832869, + 769981208, + 868980441, + 3964372, + 876183182, + 69313736, + 864460811, + 845777556, + 95636063, + 305026418, + 77488030, + 198976519, + 591871301, + 328410898, + 539910226, + 498800524, + 977501391, + 305560979, + 413454649, + 806793662, + 308893296, + 812231008, + 561346538, + 888596620, + 674849160, + 831318399, + 309749266, + 146842613, + 85584801, + 832594969, + 628849979, + 280354748, + 412851900, + 257151579, + 934117154, + 556655878, + 458473368, + 753739473, + 201792188, + 868048164, + 43536808, + 423197373, + 772193444, + 898126744, + 726933234, + 260156046, + 315198333, + 382717065, + 633196870, + 552681771, + 985251576, + 698468686, + 393598031, + 416481180, + 654908337, + 453975102, + 264915130, + 355337780, + 473696724, + 769999711, + 246001679, + 107580871, + 242079551, + 1272129, + 834023017, + 442737321, + 320710013, + 222639325, + 178595053, + 99127957, + 391285722, + 776940988, + 940699372, + 884069994, + 966590688, + 950421472, + 155221452, + 773669840, + 118931447, + 242691820, + 248786395, + 672770470, + 787954565, + 51077013, + 802129078, + 886859711, + 176052542, + 675793993, + 119469312, + 400711049, + 288207980, + 317733333, + 689233408, + 570166904, + 108477116, + 304851076, + 667253862, + 759748576, + 245299192, + 657291825, + 805467083, + 669054868, + 81641053, + 623612928, + 847975179, + 650066018, + 106940312, + 727793810, + 533336539, + 333547088, + 629783912, + 888343521, + 507107968, + 384396453, + 497563114, + 708338395, + 262066367, + 20427459, + 99094704, + 774796182, + 205780778, + 934622725, + 366471655, + 353625590, + 883484224, + 152471479, + 775646384, + 923614331, + 459177118, + 368071042, + 637570408, + 35672561, + 51110147, + 397304920, + 304223916, + 216289100, + 56698398, + 728921564, + 930819362, + 523406059, + 928256513, + 397919304, + 67449908, + 590513425, + 499395881, + 537396649, + 727085587, + 947712556, + 55437744, + 991509230, + 903979098, + 459484847, + 919364549, + 335621908, + 406656205, + 153844077, + 282510536, + 714868578, + 703115129, + 127160406, + 501666036, + 780306807, + 655654022, + 589076451, + 167464093, + 484984905, + 459239244, + 845012639, + 10402988, + 695259675, + 253309331, + 146643427, + 236467539, + 46968156, + 79973324, + 764826659, + 509530489, + 381662960, + 417661553, + 282384446, + 191192903, + 706451423, + 568731543, + 594003873, + 128817606, + 986449483, + 794351301, + 977764100, + 274327776, + 939495312, + 863528059, + 438154536, + 156246229, + 917579284, + 804932037, + 199616525, + 737640750, + 988798782, + 472724472, + 967867814, + 116693786, + 356246460, + 603026390, + 322089185, + 359331761, + 267724635, + 768996912, + 200668538, + 563928225, + 622037151, + 105505973, + 941365443, + 912542580, + 172158711, + 654452275, + 819436926, + 385688339, + 894889043, + 695387219, + 473488116, + 979632077, + 522604533, + 574114548, + 29787800, + 938007984, + 15317607, + 45997433, + 193034224, + 581551815, + 353543020, + 965722020, + 669216545, + 607629366, + 966016416, + 561855598, + 310376809, + 475443042, + 81299601, + 213600371, + 542790812, + 476768449, + 12823542, + 972224798, + 606350844, + 231817187, + 159195073, + 30861869, + 862775512, + 119541047, + 972057392, + 622492715, + 770295861, + 809926379, + 797819739, + 961632593, + 238954227, + 659497680, + 146868662, + 579702500, + 59154041, + 173375436, + 481675429, + 416478138, + 785029441, + 33006471, + 867714383, + 567523569, + 150595408, + 879548633, + 947719531, + 510643047, + 572327714, + 775246930, + 85093749, + 36598201, + 821658628, + 159713297, + 989924650, + 982922473, + 622454946, + 644840667, + 36257877, + 40669088, + 333995089, + 699619925, + 931960470, + 936986607, + 878916429, + 463105969, + 298952159, + 629988994, + 518990958, + 370077195, + 180474042, + 425494600, + 523369608, + 34251923, + 102298117, + 477988840, + 696955262, + 559178320, + 863300296, + 552108156, + 223890319, + 203413201, + 842210914, + 730957504, + 956664642, + 893908120, + 697802272, + 621980562, + 836446058, + 559888488, + 694099383, + 860947541, + 230241667, + 338144420, + 226610846, + 306040113, + 833870836, + 138585956, + 232778950, + 916826726, + 121536612, + 333899767, + 356693083, + 12737312, + 845385229, + 488673485, + 435644630, + 376303353, + 523247955, + 922163663, + 954264428, + 906106591, + 847821630, + 765288684, + 690068939, + 352313403, + 222701697, + 988346977, + 562927392, + 683761500, + 290525432, + 645726461, + 40679495, + 463618594, + 232044563, + 562261499, + 591542643, + 480216817, + 603505580, + 840587235, + 236337802, + 186764883, + 335536337, + 113072064, + 604468985, + 40058034, + 870663440, + 81733071, + 486802668, + 384890701, + 443764963, + 677241050, + 56249540, + 471884446, + 462646481, + 620174218, + 349728049, + 441532578, + 309070380, + 58268238, + 529633260, + 338261973, + 63565086, + 154480063, + 71638770, + 838098231, + 201042539, + 585459785, + 302741145, + 969637667, + 626242866, + 691915447, + 514708332, + 465606153, + 468561114, + 740558380, + 52102678, + 53644179, + 356462146, + 58253716, + 918644374, + 115722343, + 929154863, + 656212177, + 525975939, + 133527040, + 453656070, + 84097424, + 556903574, + 926610626, + 564499236, + 715513991, + 49114183, + 603484514, + 928122885, + 210556678, + 485338726, + 623149659, + 490713745, + 86867867, + 394883865, + 418334673, + 667101544, + 41794986, + 673632058, + 707617170, + 763347616, + 793572168, + 406151962, + 818883741, + 964923422, + 537388663, + 702255211, + 800766116, + 101278506, + 989795625, + 958854967, + 418549854, + 640375469, + 104978782, + 425327609, + 203528494, + 327022161, + 527987114, + 326735567, + 15593794, + 791227673, + 241150071, + 330012733, + 730738620, + 832854377, + 830204392, + 724967690, + 16471897, + 616011050, + 687336165, + 713200655, + 165167995, + 182133124, + 176568493, + 431692960, + 321783101, + 856003309, + 943327501, + 144167625, + 646894869, + 325142180, + 741185248, + 42026832, + 180112960, + 143296012, + 17983380, + 459333438, + 321484168, + 886740663, + 661296443, + 475503403, + 375620223, + 317388745, + 984231132, + 372129810, + 725660832, + 74883177, + 514462654, + 933618258, + 239436472, + 399926409, + 659664229, + 587133613, + 421428672, + 82123937, + 405392910, + 485416338, + 245733506, + 155749169, + 518347950, + 889988349, + 750862373, + 235658914, + 487873352, + 936301477, + 673367039, + 3744476, + 312448868, + 575560935, + 929025991, + 686529101, + 764045348, + 870063339, + 243701947, + 46149716, + 770399883, + 148052133, + 573613111, + 541756363, + 188982830, + 467492118, + 922095873, + 158994555, + 148457074, + 711375750, + 508437527, + 280039718, + 618269476, + 699546541, + 767671431, + 636885237, + 874666321, + 256861491, + 184738688, + 517813397, + 770074545, + 129319528, + 658153434, + 735208317, + 848378474, + 545882322, + 478916031, + 791056633, + 264833321, + 839639649, + 166397837, + 79154968, + 874917251, + 340229964, + 914971082, + 437734844, + 70763438, + 376809198, + 217336168, + 342635024, + 600313809, + 407257561, + 450739080, + 229851494, + 394565457, + 292921821, + 73201143, + 461468105, + 20683034, + 185391034, + 796553397, + 191691824, + 889569223, + 348537467, + 666887274, + 740984656, + 496420487, + 946218219, + 279943961, + 337847257, + 642716785, + 938012261, + 947126638, + 293472223, + 6853201, + 500024576, + 557579617, + 774194436, + 341604837, + 64522216, + 424998991, + 911056852, + 835800809, + 385190970, + 101341835, + 429501012, + 714712746, + 413945031, + 656836328, + 670421116, + 855323592, + 527296686, + 531902983, + 726583011, + 752132134, + 787387869, + 113726720, + 65773883, + 239452044, + 628963805, + 444746046, + 757326595, + 655429142, + 147917151, + 940104273, + 782292889, + 792778335, + 182516282, + 245337938, + 639088844, + 511078281, + 691871691, + 927493999, + 763299362, + 511799661, + 577520650, + 478824143, + 961247666, + 108758482, + 922693704, + 318430650, + 23774529, + 14815898, + 619877237, + 939573988, + 737027925, + 490883271, + 76661621, + 974339810, + 936844288, + 149021067, + 551615295, + 283265813, + 371474154, + 580838524, + 251565705, + 861666706, + 76276418, + 595278132, + 108767054, + 122505759, + 657374792, + 502290358, + 165108036, + 306541638, + 370991590, + 844011315, + 440205473, + 659603378, + 565477491, + 866000968, + 443037598, + 42640126, + 943213111, + 343185305, + 62098379, + 749803486, + 398964403, + 563798679, + 127844554, + 630978417, + 814142843, + 116534069, + 301032146, + 606037151, + 262053961, + 312409123, + 662094667, + 680595509, + 291230393, + 411224718, + 30002813, + 832844214, + 779951967, + 86189698, + 982418104, + 485914651, + 200879493, + 380516057, + 970160877, + 561665144, + 392718010, + 433336958, + 153489251, + 279216939, + 372050869, + 854933703, + 184869664, + 179082821, + 864187943, + 167333047, + 679171604, + 342168795, + 46305694, + 133766843, + 318474505, + 758299548, + 701064981, + 15351785, + 395766713, + 557538075, + 760540930, + 91091692, + 750637706, + 663709669, + 580128284, + 920002310, + 112528280, + 725981303, + 207624290, + 17866602, + 848919947, + 276677938, + 361948481, + 96302837, + 256742278, + 586381567, + 618390516, + 890808562, + 874258535, + 521050272, + 542692344, + 161127638, + 149277684, + 225925476, + 71592079, + 86224677, + 606354662, + 1359784, + 60931459, + 467806574, + 334659208, + 960376185, + 60032566, + 390091012, + 369043539, + 805722202, + 476628711, + 941673649, + 268428342, + 224463005, + 169907601, + 656392558, + 906229539, + 646334981, + 70270720, + 328364099, + 639605063, + 280212543, + 912467907, + 324971838, + 153777957, + 913630477, + 560870849, + 240298894, + 814330379, + 205383282, + 641760334, + 363722593, + 69837834, + 172809878, + 446316780, + 772027092, + 708344159, + 864374269, + 195774083, + 14505393, + 690945756, + 633223151, + 61096477, + 881734101, + 90905653, + 684675302, + 786390648, + 907272451, + 624122103, + 502934019, + 281543411, + 240041796, + 398457215, + 827096929, + 273615457, + 408189042, + 252327484, + 806503217, + 78483397, + 466584192, + 654048051, + 538303266, + 407582589, + 352089919, + 299052818, + 252819414, + 762216813, + 68565372, + 794341730, + 463962909, + 513562642, + 560169752, + 540083927, + 501673845, + 650225326, + 317909362, + 976440511, + 292627398, + 43854890, + 417987478, + 351729685, + 572199574, + 119384876, + 303784656, + 3935687, + 964624063, + 200254569, + 391969730, + 388526743, + 582110362, + 473479844, + 132116668, + 826093618, + 842587090, + 230752332, + 540618618, + 358167451, + 563259802, + 694737016, + 648099449, + 34532892, + 458514169, + 694532678, + 65506741, + 962059417, + 344900593, + 873023359, + 89458129, + 288020641, + 955084221, + 336229224, + 594034855, + 943529529, + 736010414, + 281170394, + 649947636, + 689958371, + 342664110, + 448302606, + 638913052, + 829788528, + 128805900, + 592264316, + 708042352, + 634957532, + 295369056, + 622167982, + 215371606, + 39806602, + 869494830, + 391114782, + 455520735, + 773342829, + 262394886, + 678038231, + 661551635, + 479873124, + 828333087, + 214582282, + 189069815, + 318044445, + 801014194, + 284082800, + 232415889, + 151344286, + 725060191, + 447922746, + 622685782, + 115748661, + 810224392, + 291122373, + 647319031, + 631065926, + 918713579, + 105117575, + 542034560, + 793334581, + 507121527, + 260043033, + 884862149, + 761128536, + 821163402, + 737154072, + 644298962, + 467149284, + 603670043, + 863443470, + 223332213, + 557491260, + 737622069, + 86666155, + 820459866, + 492756342, + 656456410, + 500238244, + 75554053, + 263295506, + 218216621, + 878217215, + 257860507, + 88262273, + 492254399, + 387675100, + 891040540, + 897963412, + 333082867, + 265836381, + 194407491, + 744637434, + 391294459, + 809353264, + 762780382, + 64832258, + 338062011, + 470040203, + 4009213, + 500631374, + 741243312, + 779509557, + 492357834, + 542936970, + 625794478, + 939845814, + 143867823, + 812663566, + 397563416, + 924826282, + 620632838, + 939874596, + 180562159, + 964747116, + 488489155, + 199164773, + 469186575, + 470353995, + 441514559, + 12830066, + 642945923, + 794258648, + 217962374, + 689242968, + 551401957, + 760249867, + 152138324, + 254341133, + 189830026, + 920524378, + 407153927, + 491301312, + 646849770, + 136923764, + 33143185, + 769157792, + 44265676, + 938589327, + 805688306, + 701642260, + 261710881, + 194176067, + 285673952, + 767817426, + 456395010, + 684454009, + 355282491, + 884650312, + 859569066, + 141914772, + 946025030, + 812944244, + 372994397, + 634983976, + 780726202, + 555178852, + 400664130, + 389485698, + 5482789, + 263801809, + 972699879, + 356000619, + 899476265, + 291278987, + 696809429, + 364651264, + 855787300, + 484542862, + 220769114, + 801751221, + 511451930, + 578435259, + 596614547, + 702613380, + 985081229, + 925575646, + 662252739, + 655036117, + 778635914, + 927359272, + 25425434, + 377830153, + 352625260, + 729747268, + 687501785, + 717980991, + 874871791, + 338258900, + 205635790, + 836777528, + 975857914, + 769077205, + 638539459, + 122739054, + 874683377, + 102304544, + 604308856, + 597344041, + 84287776, + 493618054, + 558562767, + 648026090, + 561866199, + 201553505, + 85441767, + 672423598, + 90179469, + 307931298, + 325434873, + 731484491, + 459703868, + 435705316, + 784387915, + 545384518, + 776901476, + 424386203, + 371327346, + 31288142, + 25442480, + 900002095, + 784068122, + 147622697, + 21647647, + 59738181, + 112419068, + 590967575, + 888862589, + 341843497, + 886067466, + 411962846, + 215061741, + 715672008, + 237415990, + 9746881, + 289913999, + 241731244, + 852829064, + 96528216, + 603347096, + 14398554, + 385304577, + 53467603, + 30243285, + 646858473, + 544133241, + 362197002, + 331159497, + 655434355, + 736429192, + 248767923, + 697636101, + 652061753, + 723623541, + 114422792, + 354614467, + 389767792, + 975330147, + 733094550, + 892654737, + 481748809, + 355412917, + 95602166, + 74014736, + 555150720, + 452660572, + 772002207, + 63700638, + 921619045, + 878295211, + 990918787, + 238355255, + 95385251, + 638571946, + 501951889, + 750743054, + 699396472, + 849078591, + 190353747, + 77790864, + 977343510, + 936871772, + 295038760, + 746967104, + 839523183, + 935166161, + 790536266, + 189029506, + 278861001, + 356488416, + 995875300, + 870268076, + 541535151, + 431731831, + 221984490, + 746722906, + 213622200, + 76910324, + 530209127, + 418458240, + 751192568, + 889467789, + 616108636, + 95732237, + 406260104, + 966453697, + 287936378, + 482790935, + 27734855, + 517986404, + 999283099, + 669811582, + 760262942, + 907836269, + 970556743, + 312915236, + 444065497, + 865462304, + 843423798, + 89161073, + 682551540, + 204877621, + 913124916, + 588333694, + 297403731, + 610902349, + 355793447, + 182496368, + 286272652, + 194329039, + 438892959, + 348860635, + 880618569, + 626640320, + 413513638, + 751359068, + 956839421, + 738328573, + 574271021, + 266008860, + 383149682, + 197312503, + 688149067, + 290384672, + 915899594, + 130427330, + 282742505, + 886506149, + 201488098, + 167895609, + 669746834, + 897637956, + 570960924, + 785486924, + 386775320, + 128603468, + 83793700, + 705911929, + 998276116, + 128670396, + 543349108, + 670732386, + 151829741, + 43193976, + 129262986, + 774689216, + 895587689, + 711536001, + 762108862, + 909677500, + 949522973, + 702351275, + 424198719, + 396807064, + 197710589, + 513897924, + 985299046, + 64769814, + 31974864, + 947869199, + 22933592, + 457267985, + 334976277, + 652550636, + 49878909, + 607444129, + 443815243, + 864727468, + 719389792, + 858151049, + 257895499, + 27060872, + 617814819, + 350188941, + 663640429, + 588479712, + 699357870, + 336398142, + 455129307, + 510438721, + 876717083, + 162200637, + 152705495, + 184585887, + 900579906, + 66251441, + 36504593, + 815561438, + 580587588, + 362417268, + 532994023, + 676661094, + 585052934, + 619800981, + 829126911, + 553386709, + 466201807, + 970129910, + 462548233, + 283688667, + 193323320, + 635302287, + 437753627, + 918578845, + 890626061, + 536007441, + 988831289, + 891558528, + 559405764, + 119020836, + 525450748, + 933869879, + 927995150, + 377746070, + 858628370, + 613509911, + 626411997, + 830417021, + 52130853, + 590509436, + 783583442, + 925053370, + 887542279, + 449282987, + 675607039, + 632805285, + 626138232, + 169071531, + 831329039, + 243431695, + 971049457, + 677630232, + 747911043, + 19729834, + 252608176, + 311275805, + 963375483, + 70055219, + 668376734, + 738948060, + 451069846, + 997998233, + 285308450, + 12889275, + 639494014, + 141865579, + 938034205, + 980199125, + 603347856, + 680693939, + 749524387, + 508218632, + 67509512, + 159772484, + 982086714, + 619375349, + 690368426, + 663871475, + 248260384, + 233397250, + 599875892, + 570612429, + 260512743, + 295083251, + 585817685, + 476100019, + 689149558, + 289284961, + 565587276, + 30245563, + 136223304, + 737246297, + 802455624, + 716909424, + 383473777, + 895918845, + 828336780, + 371878223, + 279109048, + 652140009, + 912671880, + 5051642, + 635291450, + 434052018, + 173173438, + 982316298, + 440193070, + 648082298, + 351420879, + 827536354, + 52031930, + 375214524, + 625593681, + 898479373, + 390713088, + 680824567, + 261290067, + 416052793, + 954841593, + 402161974, + 475076450, + 176224775, + 583037519, + 266115318, + 666634439, + 543253264, + 976032253, + 462713264, + 281649847, + 878723115, + 748469233, + 87087922, + 229802340, + 34608902, + 480220675, + 778423760, + 870014672, + 393045653, + 839268220, + 399520508, + 286554939, + 447866797, + 693279533, + 514306660, + 162363220, + 47117927, + 82037214, + 990604358, + 367097064, + 814694672, + 835465473, + 268729872, + 791568160, + 467278201, + 550083576, + 896161117, + 529775954, + 324812669, + 335944836, + 819209428, + 588588556, + 618521210, + 91213046, + 705375079, + 912231038, + 63600173, + 134773426, + 190900092, + 6456499, + 157169722, + 473593087, + 709198116, + 90524967, + 329957185, + 616594118, + 176412862, + 829082205, + 837444426, + 923503799, + 723625860, + 685243892, + 361736373, + 210828135, + 556044010, + 628011388, + 233978752, + 401551127, + 767872185, + 995949976, + 275913848, + 217045412, + 678651646, + 3981532, + 820460570, + 176941227, + 318833606, + 529921086, + 354114745, + 289971104, + 530150500, + 64241668, + 960814808, + 737582380, + 853465117, + 343372647, + 908821099, + 529345298, + 748275402, + 595602541, + 553067027, + 487109877, + 124856792, + 547434064, + 589469647, + 672060999, + 875580601, + 268261496, + 79183330, + 84720692, + 894559277, + 285179638, + 255997848, + 153887222, + 811456385, + 250950583, + 802025285, + 910450107, + 430004758, + 18921785, + 335274002, + 714587760, + 408944501, + 712905480, + 530754968, + 304590543, + 78000643, + 23675883, + 452030185, + 68958464, + 368305647, + 969921263, + 829016341, + 715133654, + 965161937, + 98694574, + 548066475, + 728055933, + 731989315, + 384163449, + 762467737, + 101393330, + 575099493, + 15851084, + 461616413, + 804681234, + 732464930, + 28442421, + 186249276, + 871690384, + 814207523, + 923745992, + 847360143, + 129658939, + 463845160, + 874543960, + 749976844, + 127868007, + 851522791, + 913780219, + 381147861, + 987785410, + 779422572, + 252428464, + 993269925, + 812398347, + 416713613, + 261067128, + 170343153, + 196496897, + 50895776, + 273708852, + 801793864, + 67611529, + 655793256, + 236957846, + 720310989, + 240747922, + 816377160, + 578396687, + 284935700, + 147770240, + 188672303, + 142580246, + 88251136, + 463124928, + 461119331, + 172523562, + 341958548, + 696532302, + 763173939, + 680174198, + 489484590, + 331712216, + 683578482, + 299306413, + 127346185, + 454246286, + 478455564, + 778563688, + 575788118, + 965676751, + 428605434, + 735898184, + 527140236, + 150735969, + 27463651, + 248358835, + 265956286, + 401173059, + 358692046, + 890783059, + 62079301, + 85430933, + 558838803, + 933500759, + 262119687, + 209960465, + 576362074, + 28884892, + 400990375, + 605527303, + 506234702, + 440741445, + 427199949, + 294196286, + 965083136, + 624339902, + 799773018, + 950865324, + 200273067, + 595633931, + 139867547, + 189526218, + 950831604, + 612927636, + 805134066, + 36992458, + 530605755, + 294918965, + 25064318, + 506803859, + 572085521, + 596491091, + 502177337, + 700816641, + 50214348, + 787848803, + 319776054, + 227291901, + 985606288, + 356019795, + 439759316, + 589481964, + 816920428, + 685130827, + 783954805, + 970525815, + 309608021, + 889650618, + 978810192, + 711538786, + 931483058, + 173022177, + 871931055, + 242475325, + 447528421, + 478880983, + 524262079, + 710926241, + 875977136, + 911405559, + 58158751, + 574842471, + 324809743, + 92817493, + 161090728, + 369332447, + 845977761, + 199679758, + 493136090, + 708634589, + 714393651, + 217062252, + 833176992, + 621598162, + 621046605, + 733384295, + 206692695, + 963211640, + 421966545, + 491034132, + 281405120, + 675954303, + 423340070, + 823669074, + 999577725, + 190205754, + 885144685, + 702657826, + 718740728, + 218632632, + 557436029, + 761747151, + 139173298, + 190075646, + 578331696, + 432249636, + 530336374, + 535106786, + 281619342, + 865303374, + 325608237, + 722448638, + 391597525, + 936188006, + 112783927, + 943731224, + 510068608, + 159372713, + 807932804, + 740410061, + 257827071, + 981789016, + 872837518, + 870741042, + 496300858, + 566803717, + 187903123, + 979822602, + 339376247, + 485129919, + 496453792, + 404790296, + 339729649, + 155938195, + 427523850, + 868383967, + 53394608, + 226463739, + 670325014, + 570492260, + 545667206, + 701460116, + 249653900, + 414346629, + 420273969, + 777164837, + 72486724, + 464218366, + 170527894, + 374615089, + 865067246, + 14708141, + 541604417, + 723695202, + 967690519, + 467073441, + 295959183, + 257047020, + 408403574, + 121005292, + 11722430, + 922021024, + 796380815, + 464870168, + 617679916, + 84869296, + 207949205, + 439526282, + 44549390, + 523740502, + 598009206, + 350964640, + 690275639, + 670946990, + 852012342, + 876711195, + 804094721, + 199278656, + 335768657, + 382247099, + 878537743, + 407710885, + 535705823, + 684049386, + 817478425, + 342050446, + 376257211, + 767988634, + 429418073, + 433062377, + 658392712, + 776493678, + 989897640, + 38976536, + 887788662, + 602910609, + 546316404, + 929057299, + 349644634, + 438187392, + 25384066, + 605652217, + 723459198, + 343327008, + 821455527, + 227351727, + 8918525, + 759406388, + 530855527, + 638658347, + 237021560, + 325040584, + 314975266, + 985296565, + 41673603, + 14321380, + 369672356, + 230040537, + 706377916, + 705636376, + 518147391, + 404654084, + 621880137, + 758319485, + 114660733, + 509137063, + 234073312, + 447644945, + 780514950, + 458285840, + 406591426, + 572136119, + 192449265, + 113018312, + 473650396, + 535531065, + 938969623, + 482988444, + 584437318, + 275936143, + 577905434, + 146011379, + 482837470, + 30393113, + 95819645, + 191990444, + 877877479, + 640585059, + 493431648, + 745298944, + 15404396, + 184800509, + 494297753, + 696696637, + 419198308, + 437238658, + 438561693, + 752099826, + 251999983, + 285389885, + 830903245, + 95167023, + 435700747, + 207892669, + 701748574, + 896206438, + 983993604, + 694154385, + 768499443, + 37897269, + 12348313, + 379657233, + 947894986, + 601589732, + 722447049, + 272506549, + 383174892, + 184090618, + 184295368, + 569779223, + 270667154, + 653819554, + 837977810, + 575211397, + 561068671, + 411555227, + 172143860, + 434118365, + 333693987, + 862585191, + 975542568, + 649295278, + 397888525, + 595144798, + 417725402, + 858527040, + 157870779, + 42582991, + 976031725, + 493536332, + 471695089, + 299711084, + 136828510, + 954661529, + 223211651, + 800325297, + 221855684, + 207382985, + 944610623, + 115654998, + 786420523, + 997419538, + 867489176, + 435798537, + 211456841, + 188223981, + 666929783, + 56681695, + 344349997, + 596562923, + 273765707, + 127899232, + 229955300, + 945318929, + 691615993, + 106423319, + 875489218, + 773194455, + 341662702, + 840063315, + 742800414, + 932954318, + 611845960, + 552342349, + 619952123, + 618209559, + 915244647, + 804762247, + 289720860, + 818569523, + 164893994, + 2580834, + 193886937, + 868479401, + 868173285, + 250739786, + 827519380, + 293036423, + 112040144, + 657633554, + 911125499, + 936136325, + 341577972, + 474648436, + 629494607, + 152759492, + 737073791, + 370339489, + 17750565, + 599611758, + 764842883, + 674490900, + 107009347, + 387855165, + 632426749, + 629733332, + 988495776, + 154392544, + 284545084, + 837155673, + 5071993, + 999320904, + 972902891, + 895176911, + 30413211, + 91281021, + 278860344, + 899264968, + 788128652, + 490812337, + 655063087, + 23447359, + 551708783, + 612226556, + 489694490, + 170215412, + 557481040, + 455064796, + 787467635, + 74689831, + 783779371, + 823398890, + 718355254, + 499412471, + 58939436, + 568604541, + 345749887, + 859306826, + 901839612, + 683904626, + 99064861, + 296533154, + 81246277, + 30946024, + 800299297, + 907057536, + 631233749, + 911020322, + 124546008, + 158708981, + 63919872, + 990193306, + 898411603, + 618563169, + 972314541, + 308647828, + 855569586, + 754135141, + 324409434, + 502215168, + 799638483, + 272320670, + 533387092, + 637103364, + 719820010, + 26950750, + 619882604, + 685582832, + 368149432, + 84004494, + 116342909, + 282619488, + 651694783, + 217623751, + 126475475, + 544419428, + 161974110, + 482123085, + 242719944, + 844235645, + 618652417, + 408370382, + 459405138, + 362485424, + 837165414, + 316402022, + 312166462, + 231958943, + 699706833, + 638217344, + 333481695, + 973172177, + 83983537, + 609706486, + 743564236, + 269603870, + 346854147, + 225832521, + 787705712, + 810940361, + 368993161, + 935055237, + 653244182, + 333822770, + 590681483, + 253420700, + 609446654, + 420820519, + 406405512, + 440298577, + 502777867, + 190238133, + 619962478, + 290710283, + 234160674, + 114277790, + 206454741, + 737710056, + 966498373, + 171901212, + 180075735, + 573744895, + 93495885, + 500822191, + 933199820, + 367110595, + 199666747, + 590601473, + 993191321, + 414516594, + 508839014, + 599255286, + 620591837, + 341622764, + 488082133, + 36900762, + 991459757, + 795721541, + 355822293, + 792607269, + 780806314, + 479051126, + 101110971, + 110671866, + 294600188, + 516206110, + 496505464, + 981876814, + 789451304, + 689002828, + 632969598, + 775036490, + 324212542, + 579577818, + 319109299, + 2182556, + 191933146, + 464566042, + 835512509, + 357084213, + 450595979, + 566038584, + 544850951, + 688782648, + 831982643, + 924910302, + 179882912, + 921527278, + 411385633, + 222461576, + 57741363, + 461065886, + 836576978, + 848497600, + 577771024, + 272229778, + 18654928, + 364783560, + 182614593, + 564602136, + 533911524, + 647134181, + 784684764, + 929714595, + 800928845, + 310949690, + 116280549, + 428710629, + 571668633, + 472617526, + 902737026, + 211522710, + 987525482, + 133132092, + 204215307, + 472290569, + 229849079, + 623982957, + 719977208, + 168287680, + 852021118, + 547246675, + 704564432, + 265035230, + 43913232, + 287572553, + 634658850, + 980291631, + 640665145, + 921233424, + 18350031, + 891609736, + 780746257, + 236386289, + 867197947, + 292843667, + 153698354, + 743069386, + 212625398, + 727871928, + 283226620, + 855113407, + 907196575, + 535539218, + 978664074, + 381411235, + 38299917, + 202306241, + 541858260, + 570841109, + 377977074, + 829999593, + 367360142, + 101971839, + 659730412, + 268444278, + 126416702, + 409237206, + 149152406, + 989393648, + 124234454, + 840685151, + 403620137, + 400498870, + 671461411, + 980295708, + 288336605, + 946846647, + 949546994, + 422757248, + 537741789, + 310772072, + 681474738, + 886237847, + 686128223, + 353840926, + 522127783, + 323307365, + 564161355, + 570296496, + 214558333, + 246166173, + 618956923, + 455946972, + 380957574, + 908172637, + 364783194, + 451545120, + 624919547, + 643843788, + 185155356, + 249616071, + 634008970, + 801653342, + 830719864, + 689246389, + 374836366, + 869109573, + 294407124, + 774583375, + 616881676, + 690628588, + 925825189, + 255336298, + 214632956, + 124537026, + 941407833, + 495846065, + 340572641, + 44797188, + 476135772, + 511723199, + 88321568, + 3744020, + 141081836, + 701485724, + 508087657, + 51328599, + 527606294, + 108303581, + 646432688, + 529872327, + 97032787, + 907934562, + 302354679, + 629203216, + 148675346, + 875329743, + 989974142, + 681737909, + 506766179, + 556826412, + 514961945, + 140370386, + 757110169, + 13462753, + 945905083, + 334658465, + 141225362, + 885684619, + 496240220, + 934233947, + 361113178, + 633100304, + 762537491, + 845421721, + 606118371, + 787073043, + 406054639, + 810964439, + 730910575, + 188213552, + 367359306, + 260887750, + 99908368, + 679312131, + 706431763, + 408811303, + 398079878, + 647610614, + 392711969, + 665955831, + 219774562, + 272908039, + 658300894, + 187114536, + 932536085, + 363904427, + 983081900, + 172568646, + 45792108, + 435146202, + 489694729, + 792127637, + 708626560, + 883526780, + 42428379, + 746311474, + 804061240, + 274496315, + 325973483, + 583998717, + 654896394, + 804363845, + 22291739, + 39337047, + 2107467, + 161745704, + 641590509, + 954097243, + 547741453, + 903339081, + 486314280, + 224910014, + 896363402, + 297103232, + 439430040, + 68726540, + 995834002, + 954530972, + 963514877, + 683317288, + 166591072, + 448396849, + 714281120, + 581600092, + 580876433, + 439178817, + 968536853, + 514276226, + 861086561, + 779070026, + 53001936, + 531615061, + 365765521, + 125067923, + 412341575, + 381258067, + 50537169, + 336248079, + 508907419, + 21088390, + 244380403, + 292121878, + 747557253, + 73942123, + 954026097, + 824330205, + 589153358, + 277532141, + 485252549, + 131760269, + 870452587, + 84157081, + 364082777, + 756455335, + 829233969, + 58003694, + 536333357, + 913119996, + 715689059, + 385299691, + 867388083, + 678238898, + 483573067, + 960167258, + 671333578, + 36010284, + 165009246, + 471356051, + 105364044, + 888007734, + 98505330, + 227350598, + 42386119, + 121404061, + 772789942, + 750448416, + 365828676, + 865102638, + 519189661, + 937033850, + 452753604, + 660656149, + 372255082, + 225463848, + 169026855, + 43774834, + 483203722, + 798030244, + 282071687, + 868209981, + 966653568, + 343479275, + 579878450, + 394530494, + 534049474, + 247433306, + 714483163, + 221798915, + 356124767, + 776163319, + 970577966, + 326753647, + 485359016, + 519528439, + 20209643, + 187778268, + 866397837, + 211214405, + 762936034, + 587448681, + 992093778, + 793844481, + 539376166, + 268897397, + 214126780, + 305441250, + 75668667, + 58482824, + 742292470, + 282186801, + 700937039, + 264489154, + 582947284, + 80838762, + 379878069, + 83964482, + 710032802, + 153993613, + 196233871, + 808295654, + 501014310, + 731059779, + 68757176, + 140415635, + 51610150, + 119351162, + 908392649, + 354518119, + 442080663, + 198025159, + 122424262, + 110166583, + 169061447, + 707374482, + 941210189, + 44780290, + 195481907, + 597025936, + 751882447, + 957978214, + 200787933, + 841564008, + 421780896, + 25740690, + 386404245, + 547440751, + 320078411, + 701860506, + 822861958, + 124304338, + 691908401, + 499446533, + 220096730, + 666936427, + 599331875, + 722291946, + 745374295, + 864384824, + 393635309, + 450107019, + 453278075, + 63926956, + 19130856, + 465645981, + 25961407, + 733124794, + 375503853, + 208646809, + 953455471, + 563299726, + 350587582, + 424805634, + 655918770, + 321702027, + 293058634, + 989697142, + 870127475, + 528038787, + 115450150, + 777535543, + 931254527, + 760519424, + 74027740, + 13635784, + 58218582, + 996527107, + 908823656, + 452594815, + 451768888, + 97559108, + 864356103, + 622052636, + 195570832, + 140720929, + 455761753, + 17113427, + 452472358, + 179478961, + 435824012, + 950398558, + 668325941, + 272032021, + 615686602, + 808311434, + 715651067, + 174377813, + 60365394, + 377742351, + 875549856, + 612312622, + 28130378, + 138243383, + 451453114, + 267356858, + 503668237, + 991653297, + 873037039, + 625904217, + 517169424, + 154736882, + 900639605, + 668719448, + 143516245, + 108785212, + 39631023, + 812009542, + 836992355, + 28298176, + 383405029, + 912458920, + 393770320, + 642851902, + 395069152, + 290303980, + 637418112, + 527285856, + 659024956, + 738182137, + 458005193, + 940577301, + 67091450, + 885401890, + 653803785, + 380137078, + 881837920, + 500492343, + 780204642, + 659859031, + 474303266, + 761421389, + 349747443, + 503157161, + 761249009, + 944827112, + 509423709, + 873298442, + 821717920, + 267319364, + 328944004, + 689290205, + 589044084, + 892553425, + 911561884, + 860840314, + 853993219, + 396408205, + 398079164, + 696689918, + 585979524, + 846013177, + 318295354, + 516123355, + 700100848, + 373546495, + 462945963, + 655030919, + 70981359, + 259462542, + 670236809, + 93613390, + 456192738, + 948903343, + 718356070, + 196993427, + 359528558, + 268991923, + 300600500, + 788994995, + 943206968, + 545087299, + 465284809, + 321309617, + 99268435, + 586865063, + 48055334, + 150036204, + 931696339, + 423343261, + 484426917, + 427412908, + 434234198, + 272743304, + 259899330, + 296761060, + 373984516, + 996342712, + 332197557, + 386036185, + 702394889, + 390460731, + 779584686, + 485768416, + 256260492, + 811128850, + 60849049, + 499449998, + 172955466, + 503926220, + 904744626, + 365482311, + 608782289, + 425574202, + 963533197, + 37485566, + 987145743, + 847946723, + 990918778, + 154260906, + 47273787, + 207378175, + 668920406, + 148100057, + 147185149, + 834086274, + 478391782, + 638921439, + 788803371, + 76266921, + 631700596, + 760704667, + 181381517, + 738067681, + 45181563, + 455965557, + 353704446, + 222316617, + 857055610, + 820088703, + 945213191, + 506238651, + 768167304, + 915006478, + 288916475, + 91416901, + 446471532, + 516297678, + 290094890, + 742052261, + 350529811, + 707277277, + 319247473, + 72571808, + 500799323, + 758631940, + 863369924, + 11266170, + 807800476, + 339631343, + 526222586, + 148553315, + 556966035, + 399652962, + 342890555, + 449509988, + 86445637, + 563654756, + 576127354, + 404725597, + 469610944, + 608068965, + 540545348, + 367236443, + 714114241, + 379592937, + 290259177, + 619881886, + 216835874, + 86905138, + 332253769, + 36659528, + 367043756, + 87959195, + 648469392, + 48965734, + 231864605, + 438873743, + 598607244, + 537628130, + 134020880, + 971645059, + 674478177, + 462502001, + 837449651, + 815274607, + 41865964, + 332654136, + 290508408, + 813908616, + 279727898, + 581941718, + 7823284, + 967859940, + 918174821, + 561745017, + 910497992, + 433266171, + 766898853, + 844888701, + 83472065, + 880065196, + 898557867, + 113082233, + 937090092, + 91885958, + 565643610, + 998501781, + 913245937, + 421758233, + 972634121, + 206662083, + 464513648, + 815910642, + 653545774, + 666334321, + 495593213, + 100242510, + 469267380, + 267352473, + 586995995, + 744093191, + 152263722, + 250031731, + 11153, + 110128285, + 190952838, + 427862391, + 428368479, + 633893845, + 382940783, + 771869067, + 484293273, + 689744126, + 121706499, + 942489305, + 70080257, + 796998161, + 377066978, + 212420199, + 660228575, + 952170753, + 132840969, + 508855167, + 936249382, + 146662761, + 957462551, + 7942588, + 579987484, + 596083794, + 579534845, + 495065006, + 460028333, + 939129179, + 909457599, + 851477029, + 992068700, + 124001483, + 21940703, + 91592655, + 517048540, + 343760285, + 688284609, + 841928403, + 385662358, + 242570178, + 542523297, + 194863701, + 780079054, + 371874400, + 286331196, + 462149519, + 136886264, + 154938333, + 836711125, + 496734396, + 208744931, + 709490181, + 426484854, + 725269618, + 665876718, + 911892820, + 455400199, + 707619974, + 355850883, + 379749823, + 481626061, + 454864272, + 76498440, + 692925876, + 593123857, + 678242983, + 386781633, + 909695067, + 870568688, + 330492999, + 191771292, + 762942868, + 932625871, + 878593090, + 9653263, + 466099419, + 374103418, + 999467176, + 504109765, + 614069052, + 904882529, + 566046275, + 452574155, + 679542237, + 487487686, + 670969655, + 990914847, + 728486219, + 404331556, + 86944462, + 944837518, + 267923648, + 401634565, + 736736972, + 433931499, + 823447648, + 108038892, + 380154280, + 561081242, + 971585640, + 501152218, + 829610234, + 491687523, + 802620296, + 499958895, + 480126804, + 336765539, + 522809545, + 996276021, + 833178374, + 721786968, + 294778131, + 992325829, + 935451973, + 153819989, + 509689040, + 201728679, + 443559669, + 422432551, + 113388213, + 724375477, + 377149605, + 973345778, + 605813569, + 826504658, + 954802549, + 819710027, + 453858863, + 277235560, + 154370465, + 924770907, + 744185799, + 541099146, + 124914929, + 894442597, + 305598208, + 470569789, + 247198711, + 413243567, + 197849708, + 146596556, + 179360005, + 413481102, + 103783442, + 681300303, + 104153603, + 340618522, + 79917284, + 641330658, + 690751491, + 938832103, + 129331137, + 591882417, + 850285938, + 745428229, + 890461572, + 705132936, + 158164802, + 103883536, + 505897949, + 871971717, + 745965781, + 412841821, + 547559505, + 212064718, + 802232916, + 833196985, + 75552472, + 916269495, + 708257845, + 490088334, + 770725418, + 706166973, + 648236087, + 603239738, + 12194743, + 382975162, + 899620807, + 172251639, + 570201933, + 348517684, + 121204380, + 24012630, + 741170901, + 889989534, + 350154860, + 545728669, + 845256522, + 818688449, + 658647351, + 128728758, + 164582188, + 288876014, + 690828200, + 958678752, + 698130303, + 329564441, + 810062630, + 736221328, + 667114760, + 975381913, + 699008486, + 59729452, + 330893226, + 129580215, + 821558765, + 435274725, + 602228634, + 690674252, + 17913203, + 184076174, + 856928278, + 67714707, + 423951463, + 148706337, + 169227737, + 469223228, + 75702307, + 560699038, + 982201991, + 2724609, + 968528661, + 398749272, + 715386253, + 703631548, + 698483014, + 13794642, + 873732846, + 587626512, + 882803420, + 995026339, + 353724121, + 229256288, + 649600541, + 37713757, + 125884066, + 817447936, + 860383675, + 702204914, + 115990556, + 877048836, + 9469403, + 754101141, + 483202752, + 811339125, + 623393545, + 698042480, + 754379407, + 117014550, + 338934313, + 448269748, + 497366479, + 291958148, + 495552981, + 220662864, + 898126305, + 551889487, + 789043568, + 592550649, + 614888080, + 204912579, + 18823413, + 506581027, + 992457717, + 532356157, + 526192364, + 457426084, + 952245470, + 800143002, + 880931867, + 485725043, + 558207744, + 853969417, + 553850779, + 565962734, + 390378126, + 794408768, + 206194146, + 409862992, + 161288802, + 154263751, + 893075618, + 882089811, + 115993229, + 473554195, + 192267861, + 452434112, + 684499669, + 191363005, + 774686205, + 864800042, + 451946743, + 414905812, + 168294710, + 209141588, + 201346786, + 134415318, + 865296860, + 296296975, + 579886144, + 338808739, + 173038872, + 761503897, + 317220000, + 793753109, + 254538440, + 491778754, + 326426628, + 361531183, + 406042356, + 152456492, + 162966165, + 743773483, + 621828533, + 582558237, + 248406323, + 870627766, + 244095092, + 200430156, + 315958736, + 49434710, + 148675974, + 412757324, + 242772589, + 650344744, + 383622962, + 45783127, + 283238947, + 743069908, + 780339278, + 683000764, + 830043676, + 146065876, + 313995874, + 870355060, + 231760361, + 242154300, + 499165134, + 166456310, + 159468393, + 589279058, + 739791188, + 791834272, + 447669581, + 386960086, + 716926584, + 541821101, + 402397730, + 818959761, + 962295099, + 336957677, + 727946112, + 811445997, + 539506049, + 751798355, + 666598596, + 13728323, + 132203814, + 267934301, + 828927374, + 820002843, + 132924014, + 279110496, + 645674142, + 477331249, + 838335709, + 397603766, + 745127974, + 575448696, + 953120399, + 977828993, + 409468637, + 45967043, + 345612390, + 335216186, + 888819848, + 781434339, + 343297806, + 237092541, + 453053428, + 761359435, + 668514283, + 922656840, + 516723031, + 455413707, + 787884465, + 273527773, + 767104882, + 961981153, + 959445639, + 869464333, + 71712473, + 693619437, + 693736726, + 381270513, + 716849996, + 340587831, + 62250695, + 448863840, + 120455186, + 268275347, + 837349633, + 933168505, + 146113520, + 414302408, + 524609585, + 432115386, + 766891389, + 306608621, + 827672473, + 522842106, + 183309760, + 462721105, + 446976280, + 365869505, + 648679337, + 279653976, + 326122224, + 704060859, + 839739783, + 542729854, + 622583293, + 68163845, + 393085175, + 389591174, + 635494202, + 982547984, + 378419039, + 379196511, + 308259705, + 149627196, + 844175542, + 239685054, + 823469706, + 507695572, + 377613488, + 747201789, + 766521594, + 717463642, + 824783807, + 928956986, + 789898655, + 510104437, + 288086429, + 791700040, + 510015724, + 183788841, + 77904465, + 542664714, + 690293333, + 558158061, + 872550315, + 6383112, + 984059246, + 102613720, + 649460857, + 985643582, + 988058928, + 639269139, + 240527813, + 873596162, + 14270732, + 672926056, + 582703801, + 93842119, + 966552892, + 113754297, + 407310234, + 368501132, + 363680523, + 253798913, + 461683712, + 516887665, + 197066964, + 340998035, + 218315513, + 351306041, + 982987128, + 673859963, + 517798841, + 8669033, + 191152548, + 348996550, + 763779851, + 152255958, + 4059484, + 180639182, + 335283738, + 881632018, + 721652402, + 738904745, + 13080287, + 716907019, + 895492110, + 6315309, + 230797123, + 539132227, + 398552015, + 397390876, + 259479816, + 987039094, + 79738884, + 534117418, + 878709631, + 315114374, + 284640757, + 957702221, + 253050611, + 654167521, + 933897808, + 394581108, + 713511225, + 386021492, + 602326888, + 702904311, + 916420950, + 255751304, + 582741680, + 299840342, + 214757414, + 573646520, + 276399639, + 286362337, + 591761009, + 750609878, + 462112925, + 50133047, + 681606777, + 631615622, + 784430185, + 115538036, + 779344669, + 780110126, + 375145594, + 871447420, + 30539700, + 229960667, + 976164059, + 764909721, + 204037110, + 783957693, + 909156512, + 940104262, + 291227645, + 27925299, + 686368903, + 666266490, + 409136480, + 916337948, + 537682872, + 959297147, + 209197097, + 781570802, + 475116991, + 284175255, + 593264705, + 8417522, + 664730397, + 734919686, + 138413602, + 12270399, + 432604276, + 327366498, + 925806274, + 528776701, + 811367490, + 605385445, + 541403778, + 319964492, + 40942881, + 200431238, + 995594810, + 787999619, + 177417974, + 677265453, + 263678381, + 925897164, + 940983468, + 500106795, + 708727897, + 450484839, + 722296080, + 604805362, + 327430574, + 924750223, + 718461006, + 311986426, + 613552907, + 691304181, + 399968475, + 676136362, + 266762616, + 827223343, + 524488777, + 682635285, + 364520553, + 247494821, + 838355705, + 896383079, + 27913746, + 187333965, + 379791099, + 120945202, + 996021486, + 544054792, + 181600708, + 546110868, + 744957167, + 466234898, + 641348425, + 650317351, + 848651459, + 239000600, + 498381679, + 812190994, + 517614815, + 312411447, + 432484553, + 473295921, + 207660605, + 48196060, + 59833697, + 27908828, + 418362272, + 921138195, + 127376516, + 633701808, + 716429344, + 585234350, + 79992884, + 442187376, + 5421384, + 434588534, + 395598229, + 669190019, + 515396478, + 684602891, + 781754032, + 237046300, + 869589607, + 960628063, + 120424909, + 43318443, + 923841513, + 319283592, + 771878669, + 534588938, + 428047607, + 741484767, + 910437705, + 158127516, + 788877572, + 276410035, + 270943577, + 605342770, + 650479751, + 109471922, + 679107142, + 195290301, + 130821246, + 881872837, + 613240767, + 152136492, + 514802202, + 137339972, + 906709429, + 76410957, + 168526, + 455516635, + 794269163, + 83455763, + 586268303, + 414485773, + 432402998, + 827757391, + 449307787, + 217708317, + 337675430, + 138345105, + 349920423, + 406747539, + 897789203, + 226029221, + 827999752, + 864775550, + 833366000, + 557295192, + 292392602, + 57608010, + 153522353, + 326192159, + 241951800, + 664557479, + 490090455, + 603805343, + 348562387, + 495188263, + 496261283, + 128090598, + 645058163, + 123909450, + 73296963, + 534191465, + 177643359, + 220194860, + 845176293, + 790983288, + 366121649, + 17335067, + 822590193, + 951031239, + 417683735, + 177355684, + 907833852, + 422045125, + 120230845, + 231559907, + 122980594, + 57938289, + 922726254, + 776174059, + 189253086, + 320408371, + 261033072, + 99687162, + 419838243, + 102626573, + 200054346, + 631028129, + 853887839, + 679009060, + 321206799, + 708734300, + 144190542, + 893689633, + 379544685, + 363109245, + 241378081, + 740039738, + 929856872, + 229686536, + 477581422, + 654864346, + 474785436, + 827660952, + 509068545, + 295269690, + 951551447, + 981446914, + 686105461, + 237163676, + 159997381, + 677637676, + 135323603, + 68766022, + 558306891, + 433961828, + 370991013, + 31528625, + 935407620, + 804911255, + 287217179, + 338448439, + 892614852, + 307364310, + 503458154, + 61011331, + 762592491, + 59552215, + 850395787, + 153253118, + 575270796, + 238486897, + 367722612, + 522266138, + 507425964, + 959480114, + 641439382, + 394783687, + 978019914, + 644867269, + 801579639, + 700723750, + 103042244, + 101361338, + 517678263, + 521813144, + 696084485, + 941933556, + 833765011, + 972408556, + 99806880, + 859897950, + 738532286, + 707586008, + 197242096, + 427096653, + 483402828, + 136053581, + 581817418, + 121920079, + 147850304, + 696818543, + 636499283, + 806228352, + 950733810, + 606412478, + 190478187, + 822898970, + 56843381, + 623558662, + 791466368, + 244932110, + 787875732, + 394279032, + 472949015, + 90558355, + 164288909, + 337534714, + 329526757, + 725253998, + 794318226, + 418093424, + 583249440, + 415211424, + 923294013, + 217994771, + 799611946, + 935801687, + 549927280, + 817019084, + 664125294, + 556125462, + 488260530, + 723045782, + 417978419, + 62933416, + 517725233, + 136071639, + 50912642, + 899813488, + 277643437, + 612758308, + 391976800, + 659105010, + 285123462, + 548391552, + 700030825, + 976094673, + 966384944, + 464656716, + 151871762, + 37094761, + 460813530, + 944537335, + 451876658, + 518396734, + 224719037, + 426411557, + 123915442, + 327621681, + 707113519, + 771031288, + 27393800, + 470524680, + 668778083, + 655461203, + 470715801, + 992193644, + 186644974, + 172132452, + 722924438, + 70043286, + 66706750, + 584739813, + 54104091, + 130173859, + 343109397, + 490846227, + 57908964, + 856084525, + 970226844, + 824359108, + 973342568, + 667645118, + 958010249, + 116383757, + 651061606, + 220200311, + 633337876, + 961418, + 560455304, + 657121774, + 12402945, + 414233562, + 127079761, + 46320586, + 262533732, + 560561658, + 850839618, + 855835448, + 770202735, + 102952171, + 838629375, + 336687854, + 625459139, + 339985846, + 920569099, + 994043313, + 586281226, + 57162969, + 299775573, + 54247414, + 456217868, + 480512009, + 589427878, + 806494631, + 782986063, + 660883619, + 502320205, + 600054744, + 793107197, + 984095367, + 463038851, + 32293738, + 523459407, + 624767950, + 968086608, + 391029024, + 723503053, + 266992763, + 99754029, + 765620390, + 822909347, + 906950845, + 23155549, + 65952427, + 752338006, + 61680591, + 232941952, + 726349655, + 668231440, + 991595750, + 63437411, + 186906923, + 315033927, + 153969652, + 924332694, + 524420734, + 130738105, + 994094876, + 955262908, + 517782667, + 657122441, + 320270478, + 43972352, + 561886671, + 961403513, + 977007523, + 60467640, + 192725497, + 583129215, + 644342838, + 478151254, + 791424648, + 119325452, + 977408696, + 118389541, + 999656200, + 281636910, + 593792526, + 143204401, + 740047217, + 824089947, + 71162730, + 650457494, + 537042431, + 844476142, + 215382336, + 880617131, + 767475365, + 126250075, + 472306731, + 833009941, + 641085774, + 848704434, + 150823637, + 741370626, + 898810209, + 861865700, + 841307006, + 96037424, + 707065650, + 959914958, + 896947050, + 698051761, + 469970600, + 833108645, + 928744615, + 655812340, + 870469224, + 440310085, + 952587150, + 635739163, + 595730288, + 915478160, + 995232569, + 467652172, + 240065826, + 403623050, + 569570644, + 983117052, + 247258879, + 133812056, + 864436656, + 92179324, + 523989778, + 930090368, + 482716219, + 96329075, + 813486660, + 929333005, + 899794518, + 674353801, + 840219954, + 296281529, + 93548949, + 481928535, + 432344974, + 631239345, + 349695977, + 88341800, + 946453682, + 283357481, + 875403518, + 974809, + 220527751, + 863538609, + 597890034, + 180430265, + 304999933, + 221475387, + 482506992, + 886016216, + 779230574, + 235643811, + 403841679, + 289843779, + 104441648, + 101851623, + 680746230, + 538516641, + 757939756, + 160088695, + 749508069, + 16234207, + 84731774, + 486874225, + 765487846, + 639447578, + 350752124, + 769204284, + 1635383, + 421632659, + 332350377, + 871007879, + 638932112, + 583415356, + 535811703, + 272338948, + 387586045, + 78693690, + 896228194, + 615041111, + 42097876, + 113282137, + 928930365, + 176766198, + 727796964, + 888786724, + 686105862, + 301973878, + 558387818, + 904722274, + 471032791, + 307164329, + 479964126, + 844449107, + 680186138, + 581660667, + 383758639, + 635983302, + 723355267, + 665619393, + 756625722, + 58256211, + 495856611, + 301792020, + 83944703, + 134132850, + 849718118, + 130989568, + 919291980, + 291314354, + 399537582, + 872942299, + 241522552, + 765266679, + 778489625, + 966232604, + 287628208, + 86353495, + 918399362, + 522682184, + 95416834, + 60338491, + 114633698, + 608635945, + 267034084, + 905728425, + 446255917, + 161553393, + 63173537, + 575852475, + 375830173, + 480053566, + 517095035, + 90020855, + 851046837, + 242648259, + 202684195, + 134979206, + 875598803, + 976262908, + 988428992, + 560348129, + 140396895, + 455692505, + 982567711, + 518244456, + 474334049, + 468232097, + 269187945, + 566864531, + 8468062, + 6394145, + 302310214, + 211448131, + 305781591, + 413712005, + 629241207, + 261119487, + 28829089, + 875010301, + 524803161, + 580372691, + 61729141, + 53067615, + 99868768, + 293579407, + 31791401, + 111601246, + 231086808, + 305783987, + 371765661, + 979851030, + 545598163, + 644239565, + 316617805, + 602974321, + 347442496, + 620084798, + 838277488, + 62743509, + 494386334, + 383632740, + 346519392, + 958287202, + 777907391, + 949247961, + 852872826, + 491286878, + 162920404, + 454836992, + 433827208, + 814560440, + 265394326, + 248091504, + 618689854, + 129230132, + 630475393, + 494039950, + 135346561, + 89805417, + 312386334, + 254848179, + 14894512, + 187354450, + 415232632, + 56006560, + 667179989, + 292354244, + 932418115, + 374758742, + 13903924, + 502944877, + 689426814, + 290641778, + 934770985, + 209275366, + 783552260, + 189987715, + 39699815, + 970645055, + 186728623, + 724422085, + 272029356, + 197889677, + 145596160, + 593513376, + 312474846, + 846133741, + 212751315, + 143244158, + 549941342, + 916187119, + 286142242, + 132436109, + 185368535, + 307164701, + 278333973, + 69360398, + 494923316, + 192121575, + 887425829, + 455434029, + 551520524, + 931520372, + 762722942, + 434641474, + 691846587, + 335971299, + 450630936, + 512224930, + 555062209, + 908536874, + 210795477, + 390418938, + 272362069, + 203196360, + 934600649, + 208709892, + 722616825, + 766509753, + 854484229, + 862059956, + 343223474, + 578070511, + 412802121, + 363894881, + 496238877, + 189979161, + 482530793, + 785479632, + 653471959, + 584014693, + 348027879, + 420804891, + 438770726, + 426721399, + 804527894, + 486018254, + 503479598, + 922238314, + 459288472, + 92164625, + 970985633, + 466454289, + 706541225, + 160351289, + 386516460, + 322710343, + 882414767, + 615734146, + 347530363, + 62401614, + 247216475, + 904904478, + 778705661, + 120854555, + 805410184, + 283716702, + 279494851, + 793029133, + 704379125, + 231875891, + 513582210, + 988818109, + 42646964, + 669347423, + 373190213, + 115819910, + 908996499, + 196907340, + 560872563, + 445290542, + 863797763, + 493253029, + 710466474, + 515545883, + 116922579, + 718927082, + 520032416, + 583124878, + 296780927, + 822474335, + 868094655, + 832711306, + 967382570, + 56225180, + 241641552, + 771529859, + 343601223, + 649591839, + 657724456, + 752558413, + 960194731, + 212162006, + 11086433, + 710942674, + 176330583, + 604161164, + 517467236, + 62572089, + 610692971, + 831377003, + 795980680, + 295194098, + 997081520, + 956187001, + 592831106, + 517234630, + 967804351, + 779010379, + 193925979, + 258877875, + 294712622, + 527665398, + 12337131, + 629935377, + 652390343, + 928015733, + 952506395, + 828955756, + 632470525, + 657001679, + 602116906, + 929040718, + 115087064, + 773951283, + 627631871, + 746806640, + 766837604, + 629271262, + 366790883, + 653147133, + 619147864, + 349836074, + 313187484, + 795240016, + 415470051, + 341998331, + 451813058, + 941317089, + 885505646, + 945321125, + 213961808, + 173801211, + 195352422, + 683660615, + 452050038, + 506354949, + 159727440, + 656314872, + 858683287, + 964314792, + 186543674, + 321939266, + 121423394, + 849635657, + 292058919, + 840426749, + 123461351, + 785089074, + 422576416, + 164673309, + 944913582, + 225891260, + 505862777, + 762941234, + 170305254, + 951873847, + 605734274, + 236380618, + 652899999, + 108525465, + 294674327, + 460607415, + 424280218, + 641481544, + 372968680, + 386071694, + 253610464, + 798148429, + 458992587, + 983107562, + 750234791, + 177044547, + 497889029, + 201473749, + 373727519, + 836907914, + 669989253, + 970200815, + 333931870, + 548634797, + 938528597, + 898368170, + 818405061, + 965877369, + 201937459, + 792467262, + 90105878, + 546130687, + 147082783, + 71689351, + 815280445, + 947810089, + 365944688, + 517754089, + 540487058, + 996429565, + 336328265, + 4279367, + 20595454, + 228614822, + 11620632, + 442479024, + 615654743, + 85520668, + 315089519, + 145721074, + 756758265, + 528140140, + 561800605, + 187227799, + 130124682, + 386523545, + 580889990, + 197033853, + 340575298, + 549056164, + 472634157, + 31994297, + 83609050, + 283677772, + 337527211, + 937817717, + 408434558, + 539558439, + 534484642, + 89697242, + 294447626, + 549830236, + 229738105, + 277944556, + 322388042, + 609233315, + 521265361, + 409517731, + 686593130, + 269472125, + 786533699, + 406240116, + 421720679, + 337370486, + 718564906, + 506732004, + 509814802, + 77528981, + 756112632, + 901799108, + 251370348, + 613011132, + 1533290, + 823264720, + 669546072, + 561410631, + 964928273, + 114866610, + 148673966, + 517324244, + 614013057, + 146127022, + 72150145, + 937341683, + 842778993, + 595629884, + 271926740, + 745351571, + 300916282, + 197021984, + 811352317, + 267223755, + 906263755, + 673879445, + 865907213, + 57163750, + 136547781, + 772596413, + 689814585, + 611085397, + 812727833, + 143383814, + 627611636, + 265414200, + 995940866, + 301640900, + 758651528, + 84553643, + 141798616, + 70173673, + 638935456, + 802136889, + 766272567, + 786133214, + 234506545, + 472478113, + 769904445, + 824702635, + 156844601, + 947112784, + 734020070, + 518863403, + 528967991, + 877680080, + 989802319, + 993129370, + 786128257, + 371406094, + 780948479, + 935798652, + 587519252, + 805974960, + 318683708, + 998795986, + 321716761, + 980147317, + 481406499, + 485300820, + 113113437, + 350285413, + 433824563, + 714861899, + 917671271, + 770604630, + 533350123, + 530740401, + 704612081, + 225103590, + 385156353, + 787399617, + 671906301, + 959402965, + 94630415, + 940887712, + 585572459, + 966393811, + 938429485, + 227371661, + 162794696, + 4581021, + 779493031, + 356226531, + 15097445, + 866645350, + 423845767, + 934731703, + 523589449, + 533251972, + 54110914, + 519521425, + 594388205, + 407574971, + 824597520, + 833403702, + 941686285, + 35416773, + 489744233, + 975022251, + 689653537, + 865740552, + 59505371, + 684536497, + 477178860, + 389756938, + 364371469, + 552895415, + 554468484, + 48867960, + 564649059, + 623183027, + 397565875, + 434381657, + 414455405, + 982300248, + 295347423, + 248418845, + 441682369, + 506835718, + 32245833, + 151127073, + 497295698, + 355276352, + 750000575, + 518551835, + 98401413, + 699250636, + 238580342, + 539405631, + 29722630, + 739250072, + 965273315, + 52631324, + 265087949, + 279378543, + 773796911, + 431293528, + 820929858, + 792383838, + 846307513, + 320232613, + 796824005, + 592720426, + 870345448, + 173270341, + 653604667, + 856631119, + 954155169, + 394251484, + 640731451, + 319729587, + 675327626, + 350493252, + 771829860, + 250958719, + 478420121, + 832272668, + 146852764, + 407671414, + 938797049, + 848955390, + 300763014, + 219461449, + 413524086, + 670532453, + 296964827, + 246474964, + 131004637, + 103230508, + 331193715, + 293815069, + 625062994, + 917346169, + 909380673, + 795745425, + 696233426, + 929103970, + 571950526, + 477754895, + 237732697, + 716052788, + 261858590, + 966719082, + 535605819, + 251511137, + 386763080, + 545399661, + 334299544, + 964664337, + 776539428, + 724107575, + 319427252, + 890103224, + 836158258, + 399551825, + 531194488, + 385715230, + 690991597, + 45749978, + 213703189, + 245857709, + 771876344, + 653956789, + 254732547, + 40550219, + 803947578, + 700107366, + 402698682, + 589459652, + 467447589, + 944607682, + 600366200, + 97073290, + 47486680, + 162736740, + 496123349, + 920855891, + 609380675, + 242754473, + 660098331, + 936168145, + 741905131, + 464699305, + 451918993, + 301928103, + 907709350, + 706504467, + 309452398, + 778988634, + 51715737, + 468182841, + 301044830, + 31824152, + 312750862, + 604225343, + 679052600, + 955080684, + 367499327, + 846007753, + 375619467, + 488739129, + 58421502, + 285771206, + 996505682, + 137513535, + 267638560, + 968136878, + 26364637, + 124729440, + 125937566, + 766809417, + 616466980, + 328900534, + 105787014, + 994359061, + 835088122, + 379934816, + 432497060, + 878856740, + 74765893, + 676835310, + 723331281, + 763820720, + 352485237, + 679778463, + 953035903, + 738011990, + 803672233, + 802791451, + 7873139, + 397490105, + 473996106, + 954187249, + 742532623, + 466169122, + 93896396, + 515394048, + 555052180, + 441472894, + 859853017, + 496759089, + 980038069, + 863111282, + 542119355, + 472162202, + 949630998, + 398762776, + 721824106, + 26225345, + 449331071, + 307973019, + 210881958, + 365057165, + 751119693, + 640205675, + 434517355, + 868194771, + 344701251, + 23582239, + 336077529, + 802116200, + 630453960, + 465543579, + 523547605, + 374683212, + 93548028, + 402180941, + 548348840, + 328334544, + 371017161, + 441266105, + 946866763, + 301379717, + 591360727, + 997157221, + 81135280, + 208686697, + 22027904, + 229455372, + 648432372, + 319241519, + 397663434, + 422294579, + 705406077, + 148275159, + 14063770, + 885389552, + 76025027, + 821680411, + 554833071, + 333667669, + 402340413, + 891925756, + 956110637, + 87855126, + 769187164, + 154190905, + 366584511, + 358937279, + 951862484, + 339907767, + 744302742, + 764535540, + 588035567, + 498800364, + 432503675, + 368383501, + 410642495, + 896006486, + 535353050, + 376464779, + 675896530, + 829027191, + 580153959, + 708101564, + 833128796, + 926761723, + 28891550, + 38528110, + 193552648, + 411526491, + 734326396, + 356515541, + 452563365, + 541250929, + 442751075, + 440729291, + 877380376, + 577510107, + 227830596, + 224778402, + 688608141, + 937320049, + 771790704, + 475240267, + 882638527, + 425381656, + 425511673, + 639007844, + 701175769, + 98489894, + 27351416, + 100318291, + 751847812, + 498793170, + 99389115, + 329514932, + 427400955, + 724025882, + 900570595, + 368041047, + 566169721, + 506474699, + 520886218, + 554125202, + 690439391, + 991720736, + 24511970, + 557191887, + 954243481, + 382668703, + 793266891, + 189667065, + 927023165, + 797962990, + 140814859, + 538141711, + 608305892, + 300394857, + 543380135, + 14295727, + 589990516, + 759878628, + 945880572, + 973620552, + 211589347, + 675264266, + 947023027, + 661319328, + 912695114, + 261249434, + 784993590, + 63633715, + 880259108, + 974871507, + 258966483, + 579340999, + 339445094, + 562934265, + 451902518, + 946272880, + 804870390, + 480835170, + 823176182, + 178600516, + 688435756, + 406737385, + 834104337, + 591848310, + 798710456, + 928828496, + 482194444, + 244196633, + 995473136, + 37193003, + 676190687, + 942119741, + 249435829, + 238532004, + 289783302, + 786549283, + 2257120, + 678699105, + 536576769, + 763277983, + 934679703, + 695509039, + 240740964, + 240720672, + 580797714, + 203278761, + 345566206, + 660013302, + 56809904, + 198161129, + 213386370, + 789119928, + 311808015, + 595717406, + 579297337, + 60016309, + 976591037, + 60158170, + 902064, + 15880382, + 761109210, + 348036779, + 14109877, + 694243125, + 588197985, + 313657861, + 648467753, + 897503769, + 700954394, + 940277821, + 257078044, + 55415190, + 733999783, + 166464797, + 78246114, + 171898583, + 454135721, + 191108574, + 34083353, + 875641231, + 168470204, + 870091976, + 684288028, + 9456707, + 153275183, + 522721516, + 746176481, + 887924270, + 330573404, + 841768245, + 834558642, + 905950682, + 840129182, + 745968643, + 580177587, + 523910513, + 19419138, + 570501719, + 619651713, + 16092292, + 258889740, + 796361241, + 760019579, + 670197562, + 630897333, + 417951006, + 283272279, + 813793785, + 614221162, + 911976659, + 593590255, + 232594796, + 478499296, + 650916385, + 658587792, + 974173756, + 147906101, + 212154556, + 222264042, + 533175098, + 920832941, + 822451121, + 414902705, + 696318086, + 952581337, + 901909113, + 92567403, + 362099716, + 667143867, + 328610514, + 961147863, + 840029465, + 461828563, + 224186253, + 740780341, + 749106052, + 92644846, + 15302730, + 499026158, + 343549314, + 221206098, + 932999437, + 862480670, + 471381897, + 678230840, + 603163946, + 514467929, + 713321464, + 334024143, + 929411493, + 167983393, + 783190198, + 675248849, + 512505442, + 890315863, + 475051367, + 421144895, + 312515764, + 754602120, + 378953077, + 133283645, + 937612192, + 688365286, + 55865648, + 980925067, + 874564958, + 357791832, + 480976495, + 96218846, + 446561309, + 316481415, + 853054770, + 142216783, + 301792445, + 375207329, + 184060219, + 209032368, + 243627062, + 648628051, + 687237896, + 855139904, + 146218942, + 908126067, + 622840978, + 751707552, + 68304508, + 146560599, + 80732484, + 10194546, + 908679904, + 862533742, + 966743373, + 763683391, + 129584920, + 516088378, + 510798804, + 843395876, + 877863332, + 517849916, + 222690449, + 795604780, + 575300245, + 388131776, + 589296587, + 23894419, + 964333388, + 390795194, + 890635183, + 794853936, + 131597636, + 415257016, + 14544034, + 914242708, + 139347370, + 382340784, + 590659318, + 55297208, + 885091097, + 671886962, + 36274694, + 559884782, + 744683000, + 134659564, + 30193291, + 518284604, + 750070866, + 640649656, + 682208107, + 374123324, + 471980309, + 13053336, + 377917517, + 521793540, + 228116600, + 255438699, + 579747832, + 904461881, + 979731338, + 739209518, + 645943167, + 758229396, + 172425010, + 520144309, + 101274084, + 507336306, + 810645837, + 225921400, + 237451256, + 908617177, + 564292997, + 228626146, + 826344301, + 378850609, + 449772558, + 508028847, + 166300590, + 728892653, + 757570705, + 921705664, + 107127238, + 470368893, + 218418837, + 326148972, + 508085037, + 973819971, + 327615747, + 792895490, + 737968165, + 976853859, + 68854484, + 663473516, + 439635334, + 489163943, + 269554601, + 435590125, + 954381465, + 448635301, + 530394500, + 887390453, + 128281846, + 51786737, + 942594199, + 717948617, + 121694064, + 494373398, + 969644116, + 769135689, + 917975986, + 9518210, + 64294325, + 319024771, + 86939313, + 555389311, + 152514134, + 819841364, + 116629348, + 302831024, + 606267080, + 466881798, + 302374009, + 430606363, + 915796563, + 823236243, + 280980174, + 175499763, + 465352408, + 314946626, + 172469926, + 111262165, + 443256385, + 877535834, + 888468636, + 44480204, + 808523249, + 933005397, + 509181982, + 771240328, + 124324572, + 691039257, + 14376615, + 967744272, + 414683557, + 526568589, + 119615836, + 898471937, + 821896923, + 817768783, + 500940006, + 667351995, + 746417953, + 205342063, + 73791091, + 301907128, + 157832280, + 771127844, + 823464668, + 7050280, + 440141230, + 447196165, + 191804541, + 452026885, + 87347166, + 276831040, + 60045288, + 734465819, + 164560833, + 199230799, + 349216876, + 428543293, + 772522955, + 347184953, + 62340406, + 54577140, + 272726833, + 794454806, + 985751704, + 341174474, + 621985059, + 692859155, + 469189763, + 321043343, + 329478061, + 343608954, + 592782592, + 879104522, + 63173355, + 413290636, + 56255892, + 929609503, + 879749990, + 702807091, + 927760758, + 746586888, + 539058098, + 127047623, + 239033011, + 555807535, + 283062377, + 272971449, + 251977715, + 80040060, + 174738522, + 983248882, + 165602321, + 67218160, + 224964621, + 894042159, + 410101927, + 520955589, + 806873074, + 308033648, + 835263458, + 11964240, + 336858967, + 198715807, + 372278844, + 843790923, + 402207080, + 241351895, + 748877352, + 702886910, + 606916897, + 769495286, + 889412313, + 172815805, + 762669762, + 296465696, + 219756279, + 323192882, + 645319337, + 590478084, + 606671802, + 251977841, + 460687979, + 434785849, + 954050586, + 841685742, + 20399223, + 683568183, + 596291616, + 222321052, + 329184104, + 520255361, + 405636904, + 680569303, + 966936172, + 2048902, + 51321264, + 408628815, + 894248043, + 436922851, + 319754195, + 727113161, + 476616401, + 857769200, + 406587878, + 924680356, + 752826071, + 230077605, + 677605001, + 264662666, + 607106695, + 586631397, + 986808348, + 469370556, + 70085022, + 426516234, + 251182268, + 414082164, + 244381621, + 330413331, + 929098136, + 80892264, + 878086419, + 492077920, + 211750697, + 295452807, + 882560159, + 873420655, + 611155739, + 37938835, + 920898531, + 867955246, + 335742551, + 169973162, + 733695946, + 899652780, + 65354334, + 513302150, + 304859099, + 944194106, + 126428089, + 533595542, + 572286561, + 572817065, + 924129706, + 512976948, + 127706863, + 655094408, + 271484831, + 59690887, + 625625794, + 719702453, + 601881560, + 26280177, + 12826551, + 434333704, + 149322577, + 946892, + 228689746, + 980028706, + 612494720, + 303269874, + 805912980, + 548784306, + 248100075, + 424988228, + 434538075, + 519525678, + 163030788, + 411733318, + 149518659, + 634610110, + 963465495, + 678635478, + 299284051, + 608728547, + 57203784, + 965957016, + 348207775, + 150465499, + 622587473, + 626159819, + 727250521, + 159473586, + 310533752, + 67604276, + 6992121, + 960546640, + 497030182, + 426800915, + 362409769, + 198309179, + 950727197, + 695291089, + 858723360, + 872424174, + 694334802, + 998242489, + 153829638, + 261957956, + 454542500, + 316850589, + 133337107, + 514296367, + 566734301, + 310276074, + 732946036, + 109393293, + 504517443, + 915565144, + 729463989, + 362313073, + 791790612, + 756466459, + 516395724, + 548841960, + 484787855, + 994349084, + 273038906, + 994344029, + 463272649, + 152190637, + 324301955, + 557013589, + 537671846, + 888951343, + 569588101, + 822295623, + 376548403, + 459744175, + 585521210, + 954883760, + 415081894, + 826748512, + 275511322, + 490179019, + 713930620, + 746237, + 125480658, + 355914301, + 627386086, + 359614204, + 187679463, + 458727138, + 509337130, + 720419508, + 58203052, + 598479400, + 241316185, + 720647261, + 382379848, + 134706195, + 976724859, + 494054017, + 165646682, + 567960211, + 517333590, + 395550406, + 701129212, + 138553764, + 683192621, + 856132938, + 353182813, + 57828966, + 181110510, + 465980733, + 533815878, + 264810815, + 331412050, + 695365486, + 947107563, + 326771338, + 596304680, + 22158227, + 6670759, + 990264379, + 967329095, + 936842637, + 955347795, + 662122280, + 12693830, + 604017445, + 270313430, + 91974997, + 247320526, + 617666345, + 720259304, + 58451946, + 29744343, + 192137035, + 738404027, + 511916560, + 528845611, + 454311591, + 83679200, + 366570854, + 348963616, + 870996352, + 868643132, + 705136876, + 528773588, + 944317986, + 941716288, + 170235720, + 526696882, + 132634591, + 972883494, + 545874471, + 897858649, + 831653916, + 63034044, + 865383685, + 542396385, + 962428933, + 568126518, + 856890714, + 797913437, + 327657627, + 364411612, + 755505612, + 50236349, + 40016991, + 69792312, + 738409476, + 550599219, + 105554865, + 670576834, + 77455355, + 539797974, + 990877549, + 699145389, + 31870300, + 206738055, + 253079346, + 749151778, + 922455218, + 620775454, + 130485804, + 211003054, + 893890126, + 317507371, + 518662031, + 92822295, + 663843101, + 331004880, + 646317636, + 781547271, + 757749220, + 997994399, + 824097332, + 835179408, + 13738075, + 821404475, + 59953151, + 928145401, + 646760556, + 310421871, + 43800793, + 836234925, + 531517423, + 198561868, + 73958816, + 814908803, + 741333490, + 643904472, + 342283273, + 98136919, + 911393175, + 621890864, + 511103918, + 642836605, + 748456357, + 674186792, + 686286317, + 754140421, + 383712724, + 452194725, + 938128470, + 765609892, + 9607337, + 991986013, + 259317782, + 567677073, + 328711132, + 945159156, + 115963880, + 910713214, + 342533198, + 312727257, + 460310499, + 319021190, + 195211438, + 838290641, + 995675913, + 478638520, + 678344285, + 819357656, + 415631089, + 177935645, + 715668543, + 366522241, + 358259913, + 488403757, + 284976732, + 551858262, + 343882609, + 277524925, + 513650818, + 670606644, + 174359279, + 15423420, + 209074737, + 350967879, + 172323808, + 915013738, + 975761405, + 641999276, + 344094963, + 717243355, + 397347308, + 495044478, + 352282483, + 632105594, + 81811089, + 417307237, + 265640170, + 468402651, + 778665612, + 723922796, + 786983335, + 176544514, + 621681549, + 242168688, + 793254374, + 360102198, + 414752517, + 705913477, + 901100375, + 56003452, + 37112402, + 938276104, + 515527046, + 253702484, + 859350576, + 841699507, + 679132054, + 26112171, + 897358843, + 264580886, + 253271422, + 514363696, + 389670369, + 918288823, + 58352290, + 98953823, + 203088076, + 194384723, + 716158423, + 587504682, + 320442818, + 235576884, + 315589357, + 462633427, + 432690509, + 389525182, + 910073710, + 181551227, + 961197495, + 327375353, + 945812093, + 376634970, + 865788441, + 414864486, + 963789136, + 477369402, + 184599622, + 818835974, + 467106331, + 548651336, + 765745264, + 802851563, + 792792510, + 145956838, + 684802090, + 175885440, + 48280565, + 946953465, + 177462135, + 473299857, + 669950820, + 671489323, + 54690604, + 639154441, + 619592864, + 418238618, + 716348553, + 537845770, + 424111546, + 208853211, + 825341873, + 981584837, + 884568145, + 939064630, + 312359819, + 628189716, + 980047108, + 14986749, + 570387115, + 126856329, + 667479246, + 334356844, + 999055161, + 631580953, + 526174432, + 783242006, + 979554426, + 639895372, + 296437341, + 350160235, + 50513678, + 238876291, + 931829502, + 841688776, + 405893732, + 534237697, + 396166044, + 296984326, + 952220262, + 831646295, + 414542155, + 950434743, + 530911894, + 167290509, + 233185898, + 587677945, + 73480356, + 188731292, + 737356128, + 672516091, + 964334774, + 330003006, + 66652634, + 409632877, + 637355033, + 711157134, + 216188909, + 120949580, + 99364819, + 796376480, + 127525604, + 835306969, + 782466538, + 106381940, + 767348642, + 791100091, + 140117976, + 900004355, + 928311389, + 37896739, + 824471064, + 698658816, + 75199025, + 453832080, + 964065320, + 479441732, + 48498386, + 359537374, + 556282640, + 982926515, + 152213167, + 448569151, + 34690048, + 198255908, + 606846508, + 678582925, + 720471076, + 299754597, + 920486028, + 598023207, + 906262473, + 995533234, + 510307266, + 46475440, + 28130763, + 771228584, + 826416278, + 178212109, + 928844055, + 412294773, + 546296101, + 903272750, + 463828510, + 638793132, + 271705431, + 856304699, + 102943141, + 771301637, + 886650807, + 206898336, + 282971329, + 628560570, + 216670945, + 295555075, + 751025620, + 281973141, + 625925863, + 993680445, + 763652032, + 173031885, + 581132074, + 940958641, + 365025678, + 441970972, + 66324262, + 637762286, + 398055552, + 874160490, + 216625476, + 256441388, + 849959895, + 833494030, + 217331780, + 134901704, + 907796108, + 451872200, + 589770021, + 613447149, + 900565375, + 194883287, + 341561845, + 741538323, + 202668516, + 463251182, + 545063407, + 222918866, + 317646046, + 301717703, + 576375614, + 125144275, + 204673009, + 138500570, + 465298058, + 640779906, + 637634004, + 838794711, + 615233021, + 808921497, + 72483026, + 594072831, + 513053724, + 290130930, + 670700014, + 23522210, + 984085690, + 926940319, + 227192753, + 228353138, + 56337011, + 56130582, + 767521208, + 782717244, + 300421657, + 261685452, + 115917502, + 358950163, + 172960688, + 454893754, + 429822436, + 922614676, + 326638566, + 465280430, + 587768084, + 434296543, + 779676699, + 837356517, + 637452633, + 364462788, + 838852413, + 274874084, + 670467839, + 188786469, + 602910269, + 613534599, + 539242350, + 922434937, + 825000668, + 735778057, + 480522814, + 335710264, + 577148841, + 831093955, + 647043905, + 904410894, + 404529907, + 796907053, + 424169401, + 665087527, + 401970565, + 343938374, + 378979166, + 54674949, + 390321442, + 724951541, + 756953391, + 396398586, + 701157989, + 985834462, + 906946132, + 964401681, + 894842130, + 339321777, + 919606116, + 522192152, + 972991656, + 422386471, + 200312331, + 150905159, + 766012621, + 871065101, + 72971619, + 965969456, + 829709813, + 275019204, + 289360907, + 25430325, + 41777150, + 917816034, + 916161228, + 919043088, + 559518624, + 328444646, + 302563185, + 641628438, + 186445076, + 413663177, + 959285055, + 702307844, + 27188490, + 84628711, + 275388490, + 208612511, + 880542666, + 524337071, + 803227066, + 302186441, + 3660638, + 811639965, + 686853810, + 700296120, + 22280092, + 151041591, + 258502789, + 594767031, + 399443376, + 505987089, + 792721615, + 843728448, + 426242825, + 655605834, + 827903434, + 44340485, + 196726400, + 714808826, + 990125736, + 99866432, + 264061257, + 280881241, + 227188682, + 248562956, + 984384437, + 446242873, + 687769035, + 137956344, + 454343231, + 6120987, + 96212152, + 489823679, + 520390155, + 18258860, + 386162393, + 891731336, + 601317206, + 217664175, + 584771173, + 865039260, + 523128650, + 890384891, + 626603006, + 713050153, + 19251700, + 64360651, + 739027732, + 877106206, + 433990206, + 493855428, + 281468583, + 238090089, + 260463297, + 971410501, + 948963573, + 408414405, + 777147169, + 46181592, + 680900763, + 979645559, + 405368904, + 886874668, + 711988553, + 95086840, + 376466356, + 193693888, + 307365775, + 584122559, + 300118876, + 732987512, + 726285547, + 804008572, + 166229281, + 27902531, + 576033161, + 866725504, + 817978616, + 672959185, + 434730844, + 455524665, + 404253779, + 246680481, + 997693045, + 37745303, + 7148668, + 602019710, + 13323541, + 6024350, + 528429358, + 85528071, + 945453745, + 451614657, + 750475690, + 382128810, + 403490826, + 980002248, + 570744830, + 852022493, + 894158274, + 357669867, + 836833724, + 986707506, + 578606177, + 138309459, + 66782715, + 311024283, + 750267030, + 504603850, + 696647334, + 27249722, + 30335445, + 41206962, + 349552485, + 219904247, + 290080942, + 94646194, + 219724512, + 616850423, + 177267021, + 296273208, + 511393870, + 649674544, + 254920253, + 266848564, + 844074547, + 512575590, + 574145542, + 872113266, + 781685688, + 377778098, + 653053238, + 478809208, + 707304328, + 283760308, + 548728323, + 968079197, + 725214811, + 949963310, + 846026363, + 643764104, + 769701128, + 356507109, + 306091373, + 869376349, + 320712985, + 96587637, + 728684354, + 114907248, + 947621925, + 14697176, + 531487270, + 973996084, + 379343269, + 828055784, + 891246854, + 811505585, + 437538516, + 726970776, + 697685081, + 209332693, + 992343337, + 272979526, + 278765567, + 532593636, + 764355234, + 366879499, + 312231328, + 131716007, + 144267521, + 202859153, + 909717019, + 353834977, + 258308116, + 241303056, + 819662767, + 752210436, + 459054320, + 892455249, + 70024528, + 250148725, + 211895525, + 640459125, + 683605310, + 579068604, + 335894915, + 173563906, + 843683895, + 771944464, + 69336949, + 204862446, + 496074095, + 900619526, + 728801523, + 649083124, + 467788876, + 902571532, + 671856759, + 22746435, + 2910804, + 312938647, + 38087464, + 442067973, + 14627452, + 184726907, + 165030835, + 788722590, + 43855710, + 438098924, + 900797666, + 865558259, + 205197759, + 464827865, + 492615690, + 242201014, + 754820224, + 152786404, + 549865641, + 272628090, + 210344732, + 778357193, + 768904557, + 142995041, + 151868529, + 532237874, + 694952147, + 420647955, + 8252014, + 572650083, + 534962823, + 374099287, + 165444, + 580762256, + 487817228, + 247947122, + 362709000, + 666966489, + 362249916, + 184354943, + 479511704, + 414232409, + 244062394, + 62887607, + 510068523, + 944076660, + 515690931, + 744997334, + 110677166, + 154202259, + 158476924, + 122841637, + 901295026, + 191118209, + 394703231, + 88021555, + 472651142, + 853824098, + 175298765, + 698935575, + 896032410, + 998820146, + 173306968, + 437165094, + 129810951, + 675549624, + 140232996, + 244832309, + 742859321, + 578335643, + 263535593, + 305415401, + 624142032, + 795974687, + 626985383, + 369535331, + 744188253, + 810336102, + 121464410, + 493962958, + 226919066, + 661005490, + 530149081, + 693172790, + 396491549, + 275755026, + 575898842, + 621279928, + 731197091, + 658680863, + 139297313, + 754115331, + 450591742, + 835619443, + 848990996, + 521540353, + 388823597, + 918844422, + 630332597, + 460064941, + 339854293, + 395446216, + 675209013, + 41590497, + 109357749, + 421322340, + 614860159, + 972203967, + 836552165, + 871975543, + 609456402, + 244564896, + 295538500, + 117587950, + 790275322, + 513361267, + 921859192, + 152454863, + 311452655, + 858593458, + 771888592, + 246847651, + 662064136, + 754536624, + 134420069, + 746205930, + 794783849, + 141207430, + 784178627, + 376008413, + 832329732, + 254856274, + 414638178, + 723313426, + 529195959, + 18131049, + 345741658, + 979876768, + 92082284, + 45937001, + 506645362, + 877191769, + 758163954, + 859948021, + 287935729, + 648699120, + 153564485, + 108809440, + 200584769, + 722614058, + 863285980, + 140933829, + 514570541, + 440764697, + 189356167, + 565630937, + 39341162, + 881121036, + 279734517, + 272384531, + 587056411, + 847861645, + 686632725, + 230039656, + 702659945, + 289381904, + 441639069, + 505139807, + 469700263, + 39794497, + 387067905, + 679684973, + 884533453, + 182320161, + 328981443, + 865915565, + 902458239, + 762558073, + 552436945, + 625018172, + 264854118, + 638119824, + 719937093, + 266315892, + 198681644, + 833010432, + 935214774, + 269876590, + 508818284, + 236258999, + 92937247, + 617349146, + 697907363, + 690604641, + 537807880, + 867960744, + 748835641, + 36043620, + 373878250, + 699245657, + 816705302, + 926492210, + 623863704, + 472074381, + 863919542, + 974805556, + 214956214, + 126308290, + 210758258, + 763731087, + 835366751, + 958822268, + 841685668, + 802839321, + 557783657, + 710430413, + 550149667, + 238948248, + 291930890, + 630285196, + 37125254, + 99584381, + 681609345, + 846589738, + 201836612, + 113894293, + 149387279, + 515882648, + 435338732, + 613782390, + 274253163, + 78944885, + 89919922, + 953082172, + 481079125, + 894640433, + 750201354, + 67636522, + 270383746, + 280649313, + 158795738, + 676523756, + 201922843, + 153142117, + 355766465, + 613161556, + 292514893, + 688494123, + 416850486, + 316198418, + 497562440, + 645698717, + 980463437, + 586786289, + 757263526, + 896081017, + 362867946, + 296859307, + 219095767, + 562253455, + 779917856, + 364100514, + 74840243, + 749860007, + 960927933, + 516802610, + 137156839, + 977394680, + 659271176, + 586441872, + 976015837, + 139740216, + 300332373, + 57150028, + 578649844, + 560065874, + 413012005, + 383019623, + 29400863, + 470013882, + 594803700, + 199921297, + 975946562, + 769863257, + 701064564, + 239918087, + 841950084, + 2056740, + 526112721, + 306125780, + 332576229, + 869770046, + 439416532, + 729237644, + 218396882, + 842500268, + 574994705, + 743566472, + 738536268, + 270001668, + 550210669, + 957248209, + 915016822, + 651603393, + 885122696, + 57057087, + 673572564, + 102674974, + 420778800, + 231169173, + 774193205, + 974247095, + 930558752, + 889172169, + 320838060, + 151392503, + 744986238, + 934853183, + 946187782, + 666472109, + 401489899, + 722654671, + 843840969, + 314976232, + 412979731, + 345252835, + 354055802, + 676066696, + 558218880, + 922816907, + 415202529, + 30057660, + 174410475, + 504533022, + 84614776, + 961212766, + 870210934, + 482943352, + 60410624, + 984539760, + 913816967, + 806243908, + 971013171, + 52874268, + 579361629, + 20794239, + 154708630, + 908163597, + 791438294, + 869538331, + 731397432, + 292085977, + 564574300, + 381246053, + 655134432, + 515493574, + 587375105, + 254511157, + 558864511, + 572090822, + 553008523, + 58625498, + 771342885, + 682243896, + 250751274, + 353346885, + 870992267, + 211713122, + 135036828, + 7198723, + 425405052, + 124000418, + 141570161, + 55734534, + 392534543, + 142394288, + 739252727, + 648838775, + 587849427, + 315582943, + 630361331, + 324286383, + 491072892, + 326932652, + 261114120, + 979680031, + 540282376, + 553946235, + 652639058, + 559527751, + 674721326, + 764635257, + 340321658, + 902611694, + 402678577, + 596024254, + 815865170, + 178113743, + 739058213, + 26961127, + 811765397, + 63961893, + 871339207, + 811841272, + 308876067, + 964559527, + 727905765, + 990494458, + 549075687, + 99547387, + 137004483, + 377685136, + 810477288, + 227072345, + 33185697, + 502168714, + 722537360, + 856761281, + 890371489, + 122415874, + 83969872, + 647922300, + 743074934, + 750792359, + 42457769, + 823785658, + 432597977, + 289472364, + 878966233, + 581246338, + 83477091, + 652637422, + 321085086, + 715722191, + 327265003, + 757551328, + 113813862, + 96400442, + 203870650, + 353654673, + 251947408, + 41785737, + 793138390, + 823173432, + 677068000, + 470772116, + 934975374, + 105007027, + 231029631, + 249400066, + 646913906, + 864213872, + 124633308, + 925113311, + 638062259, + 284946934, + 292853942, + 870422265, + 195491143, + 439477638, + 102695621, + 156074983, + 902123308, + 944031028, + 598955773, + 833140826, + 539883641, + 269056462, + 485543099, + 254376262, + 15333653, + 545923333, + 852896476, + 33174296, + 426712250, + 895290414, + 555185358, + 72857748, + 260559405, + 180740931, + 297842857, + 718935518, + 836913796, + 208296191, + 704490442, + 167606285, + 58549068, + 225959880, + 22791859, + 362651851, + 831674651, + 821917752, + 240151325, + 259128874, + 210135094, + 619256494, + 988201139, + 570538950, + 113633989, + 215692145, + 293207825, + 260249880, + 998551392, + 308592383, + 217879347, + 127782428, + 643724061, + 820009145, + 726214358, + 525145647, + 740627634, + 169981222, + 492460320, + 490320819, + 787665351, + 290708634, + 977321072, + 484166473, + 596574556, + 549556778, + 130290628, + 438120950, + 939127532, + 395913868, + 623316105, + 393685347, + 433407311, + 936052481, + 885262104, + 996964549, + 465960310, + 708579207, + 37163633, + 708943714, + 884975533, + 61591400, + 325110605, + 293012411, + 898778608, + 580226007, + 339521371, + 795876536, + 62136645, + 535548187, + 318645080, + 169369508, + 241327805, + 69523277, + 429175196, + 222547086, + 709385096, + 581445955, + 397699882, + 195533677, + 842690042, + 445504303, + 439388107, + 450778870, + 68066479, + 983912433, + 958402853, + 436333472, + 991229135, + 720614812, + 929896011, + 864867577, + 59290352, + 890754590, + 934742489, + 159785595, + 819855428, + 70680828, + 38688753, + 618240444, + 729266083, + 72388874, + 919742755, + 626896271, + 19548264, + 240782095, + 148643758, + 133469027, + 770747237, + 722587802, + 6956529, + 181375780, + 316605305, + 652339715, + 693839861, + 988786398, + 255337187, + 207179444, + 809164942, + 579413823, + 334362959, + 394157809, + 916729555, + 598799166, + 889165911, + 592169893, + 925327251, + 223283589, + 101890220, + 11075233, + 154499898, + 771328568, + 992753824, + 799575779, + 428114705, + 416970961, + 200033441, + 711219053, + 960983674, + 8544653, + 817769963, + 839034995, + 844311189, + 492142360, + 947039749, + 528825751, + 558624801, + 467618196, + 952943774, + 400358837, + 655439133, + 867503513, + 3888453, + 924196298, + 413157768, + 165489655, + 191603616, + 404881802, + 653579467, + 639291275, + 560080363, + 516683615, + 106300221, + 192633232, + 119134770, + 82934324, + 67209156, + 511565501, + 165834502, + 563458409, + 717178241, + 372115772, + 744398683, + 57515213, + 858751757, + 217516810, + 21347330, + 6915492, + 776747959, + 816406073, + 712593952, + 89047865, + 189350371, + 958947882, + 521050690, + 534145190, + 109162789, + 39633680, + 404940060, + 818760353, + 150087177, + 31776780, + 425097585, + 159564805, + 974350432, + 214506200, + 15002731, + 441680200, + 50569300, + 681513106, + 544701725, + 628021962, + 422867980, + 911696981, + 66535431, + 520397280, + 490716201, + 409363981, + 666262609, + 11220844, + 732892698, + 151724591, + 711909609, + 37430157, + 916383761, + 146111271, + 999033220, + 916153540, + 337912659, + 389907296, + 306121157, + 170723904, + 407371377, + 547405169, + 372106523, + 613284836, + 214753713, + 339804730, + 745915146, + 244402230, + 352676566, + 283366996, + 500292232, + 345008197, + 270299203, + 381314654, + 320288771, + 270504023, + 535254023, + 361476317, + 412350260, + 769012809, + 192251999, + 65488881, + 692236445, + 35721893, + 749171197, + 936182899, + 885571794, + 915366155, + 162086291, + 840311958, + 271807529, + 868235612, + 499856344, + 89725570, + 446273365, + 886273506, + 386817283, + 490254474, + 644929811, + 141326327, + 105740722, + 908566324, + 908338528, + 998246610, + 971433214, + 957446656, + 275900530, + 741101723, + 326904352, + 557345200, + 662436100, + 601738122, + 887813006, + 620980408, + 247152637, + 325561054, + 749700514, + 336905306, + 614665297, + 608528303, + 486743974, + 927873482, + 101275894, + 757544391, + 697416417, + 213454096, + 777961355, + 25147944, + 576018173, + 451647840, + 138992300, + 344726388, + 678037965, + 849886105, + 912229651, + 941827988, + 520522324, + 576358784, + 489110742, + 670634017, + 112013576, + 594355036, + 695317252, + 717429928, + 559699696, + 262534870, + 546003297, + 354784424, + 451467123, + 664433320, + 414263303, + 577292629, + 129590358, + 373840986, + 644603209, + 653700690, + 385439848, + 828248287, + 687005520, + 992310745, + 589790308, + 599072506, + 864595731, + 384291825, + 487642477, + 259588167, + 682697588, + 105133793, + 400556611, + 916015767, + 416523175, + 746355812, + 563224559, + 764853892, + 546528195, + 185642722, + 591895779, + 327827738, + 413560092, + 563708026, + 748727080, + 313403567, + 781761119, + 843263459, + 942331113, + 993152583, + 695212882, + 378975291, + 348598602, + 884300044, + 720935629, + 846619359, + 640309537, + 680054409, + 480966761, + 150357982, + 77250311, + 577013955, + 870877565, + 477648563, + 522676558, + 553063972, + 144841344, + 567750479, + 359031656, + 531210601, + 678467827, + 219781898, + 895929445, + 277930127, + 768683773, + 853476641, + 68163572, + 458364515, + 570658823, + 284928809, + 51410924, + 199864303, + 760139626, + 696384139, + 957141997, + 535136732, + 564708320, + 971280347, + 126372607, + 803764971, + 272932346, + 524693371, + 468189297, + 205004396, + 705820256, + 822413156, + 680786157, + 277783412, + 994184147, + 534932853, + 788470665, + 736217728, + 935061020, + 240674799, + 281745163, + 262133228, + 527687446, + 720218823, + 611227220, + 161553346, + 88263261, + 504534450, + 759722238, + 573040244, + 293568726, + 365897340, + 30028305, + 676218476, + 209360763, + 977886773, + 519278240, + 953570687, + 12531504, + 272200521, + 167924803, + 550271946, + 443228927, + 771542415, + 733096238, + 626076896, + 499878150, + 59519102, + 596775049, + 61707471, + 247753425, + 331296672, + 56550024, + 87278855, + 966899669, + 33564902, + 563038003, + 365728616, + 794980682, + 747532191, + 308399612, + 361806686, + 470772771, + 661663749, + 553200696, + 292927487, + 704651277, + 70820831, + 399721119, + 762072558, + 44306085, + 961669221, + 576846349, + 92375324, + 659671328, + 126319980, + 805981138, + 275530251, + 841673882, + 58431893, + 252996740, + 203521051, + 232101218, + 937446163, + 194349276, + 807859220, + 876482859, + 445577411, + 437633718, + 161068819, + 87184689, + 514992216, + 123042081, + 725168316, + 71646449, + 334646665, + 435507276, + 567274533, + 239724250, + 179860651, + 151503, + 570758677, + 232433162, + 294404440, + 403174746, + 413863586, + 424373189, + 563420762, + 919031755, + 587264571, + 830681986, + 263939125, + 371855807, + 38684118, + 64021454, + 518056480, + 248863651, + 573818616, + 550533289, + 558318857, + 400331911, + 774908898, + 126437618, + 942378244, + 574648114, + 620634491, + 663383379, + 214377271, + 236763306, + 50925289, + 838726397, + 762846790, + 841069509, + 420083118, + 457956948, + 422595276, + 766258064, + 979632110, + 943807664, + 230224940, + 990214497, + 306406586, + 255164482, + 557223475, + 543306586, + 539852413, + 928859583, + 18492259, + 472141761, + 33579728, + 408671261, + 68540177, + 18074118, + 868439228, + 646366305, + 350066286, + 957039972, + 289965914, + 746249309, + 998161486, + 445075057, + 86055627, + 496056497, + 639353598, + 617373181, + 117753643, + 968035693, + 469924518, + 578857837, + 205418740, + 83021724, + 849278674, + 581583839, + 358189527, + 454199278, + 281524701, + 294523744, + 905170527, + 203915181, + 263884153, + 403812220, + 751302524, + 18485203, + 599036526, + 892849375, + 19655588, + 371092017, + 472372081, + 315895230, + 931864812, + 692332100, + 627138938, + 168839818, + 290185636, + 61137265, + 354401068, + 970626599, + 870260043, + 319518638, + 20628756, + 976431159, + 487148287, + 181420728, + 414235286, + 251802610, + 629042405, + 878290883, + 769798760, + 175764079, + 260707190, + 712892490, + 411764075, + 30421444, + 948930090, + 398821775, + 703906776, + 441591462, + 546409947, + 435223911, + 50279713, + 91716790, + 224893887, + 906735442, + 76418303, + 392329676, + 242953377, + 430970158, + 626469287, + 778670280, + 43828382, + 690096936, + 193463718, + 484943545, + 30248846, + 752545756, + 892142362, + 194484035, + 698124945, + 5284337, + 464112279, + 924268999, + 18048716, + 522817733, + 286078181, + 571834703, + 95556114, + 317419566, + 655517692, + 938333995, + 626160564, + 511945301, + 70583425, + 987582109, + 418789016, + 814240674, + 93546647, + 350620366, + 47040022, + 94918848, + 545501224, + 159315431, + 315900086, + 893200400, + 161936330, + 796058460, + 34727393, + 275513869, + 410918333, + 183570136, + 298016509, + 435423004, + 501986268, + 571491490, + 538999173, + 109981426, + 344666036, + 427692046, + 39540521, + 434624614, + 679425497, + 437943834, + 29570648, + 259856034, + 480375093, + 525008519, + 832893594, + 215997382, + 858016227, + 618186107, + 513671994, + 366042139, + 830020826, + 97938740, + 133257568, + 739501265, + 697530164, + 473874339, + 908280513, + 6355405, + 587610178, + 623247587, + 220552827, + 108934659, + 695189137, + 110830846, + 563720750, + 418155929, + 579046311, + 698005815, + 693031154, + 657969673, + 921748102, + 277998204, + 847868901, + 580493912, + 268300384, + 300220651, + 790634454, + 451105018, + 97408023, + 839212957, + 878255291, + 357922489, + 925822010, + 992400, + 183589034, + 67307234, + 532091568, + 495287462, + 360572421, + 107577422, + 572663310, + 89651493, + 705155271, + 647247625, + 342020044, + 209498386, + 117007974, + 347976255, + 436819409, + 534134932, + 645993182, + 212816827, + 872114535, + 260069933, + 90827359, + 624069389, + 625221912, + 848551496, + 286184383, + 937989000, + 458986672, + 741846177, + 572477287, + 589128225, + 27244714, + 288468004, + 393650848, + 976452296, + 77327723, + 915365661, + 281217977, + 65414742, + 57330196, + 369695238, + 584786818, + 93998080, + 455937088, + 648233078, + 734536313, + 66772268, + 977928786, + 559837882, + 983771728, + 841447231, + 99838963, + 137898076, + 61258889, + 782471175, + 638444387, + 66178837, + 611993189, + 767944823, + 696400221, + 480042636, + 864603583, + 984158792, + 136473356, + 691157625, + 457171234, + 191296432, + 713714225, + 944199630, + 322162662, + 2470038, + 13581986, + 326412724, + 167855811, + 263760877, + 110502438, + 264598380, + 236446604, + 414259108, + 972095032, + 623327585, + 590180007, + 559102133, + 585201429, + 536036601, + 810943066, + 993927040, + 60081089, + 644519555, + 744990242, + 652819019, + 700501173, + 449250777, + 497021266, + 988189779, + 277995672, + 911587854, + 134336067, + 282405555, + 303808371, + 139899060, + 655323455, + 423629417, + 547175786, + 937069961, + 388903331, + 762843755, + 232669174, + 207091870, + 697710711, + 229225790, + 387892295, + 200284107, + 448872659, + 866470094, + 765095609, + 398824726, + 975543170, + 577025609, + 803682177, + 408383151, + 835767654, + 486450345, + 461760774, + 987747225, + 564342940, + 416324361, + 869581201, + 744090442, + 195585896, + 201855989, + 572496991, + 942006569, + 459815135, + 318683691, + 37605683, + 950339233, + 808632975, + 469435785, + 989527733, + 667502424, + 121696212, + 805494968, + 318618382, + 295804413, + 242250158, + 952713097, + 978726076, + 704459674, + 111341541, + 96026793, + 579978372, + 125232039, + 871992809, + 397610646, + 699255457, + 652311042, + 74364815, + 957569816, + 737185336, + 212035978, + 2793173, + 10234925, + 218070059, + 77405261, + 108023031, + 196108113, + 771333679, + 888623204, + 63887180, + 507105057, + 56027229, + 304943695, + 786538821, + 346654670, + 284575079, + 444414364, + 396426524, + 248700167, + 412318046, + 507301183, + 913210382, + 79767343, + 782344712, + 314584522, + 671698722, + 720567670, + 63906529, + 331763382, + 580260237, + 210548344, + 523846549, + 163007036, + 573288939, + 123593559, + 718434732, + 163497310, + 848922928, + 549888876, + 657484397, + 982397651, + 412145858, + 357059393, + 267826871, + 630919619, + 242810244, + 969288946, + 319919454, + 153279185, + 734101094, + 522111155, + 52372199, + 661742028, + 345415481, + 115696496, + 756018867, + 472423458, + 355202914, + 498621837, + 865207885, + 353056929, + 513517750, + 760900240, + 271040046, + 583874354, + 469430770, + 379094773, + 349085827, + 149886127, + 73263224, + 801042887, + 971353727, + 902446187, + 857784671, + 759469328, + 787727067, + 215050418, + 145027869, + 582032450, + 488060221, + 745110850, + 770587948, + 548210474, + 285868799, + 328517682, + 681207984, + 480131136, + 508221606, + 696772319, + 121690470, + 446335507, + 455281692, + 442699830, + 393689076, + 639532024, + 418873558, + 487477457, + 587330323, + 496239310, + 832918374, + 26784889, + 692815943, + 322838457, + 68406286, + 851585179, + 811860890, + 217464418, + 47926309, + 583334012, + 981849787, + 424081278, + 846226402, + 834734133, + 16978019, + 818288449, + 813428858, + 529242657, + 128001291, + 589781950, + 672382319, + 888452893, + 724677030, + 758668450, + 777759011, + 141350475, + 814408429, + 199416883, + 330190215, + 343185508, + 529467502, + 450220127, + 497585145, + 269491816, + 357774572, + 440790074, + 548681066, + 183048844, + 371893011, + 339147499, + 259897649, + 258978969, + 275916932, + 395498551, + 712934069, + 636328846, + 715755978, + 291895457, + 667663134, + 454421516, + 284660379, + 986369695, + 365130221, + 360090809, + 420767572, + 674657985, + 410263344, + 263146067, + 971630833, + 659492936, + 831254124, + 275273022, + 568163145, + 982385638, + 458997148, + 652705520, + 482292772, + 615572939, + 369949257, + 463000762, + 697890193, + 38223380, + 470187425, + 994048952, + 376533151, + 480752429, + 896066220, + 58264501, + 219009110, + 87586175, + 374037153, + 651499062, + 238004558, + 730448938, + 382796974, + 819459500, + 528387157, + 904142186, + 946674411, + 423198855, + 303941970, + 95368602, + 585078108, + 520899474, + 424672930, + 365086778, + 450938816, + 882444419, + 342205986, + 166013457, + 948304909, + 175794620, + 511841464, + 158663029, + 271585611, + 903706479, + 273133352, + 844580937, + 106549204, + 722709157, + 947031292, + 158146366, + 575477879, + 406848999, + 884939718, + 507474455, + 303943135, + 246568993, + 538931088, + 72155800, + 339623110, + 319212676, + 110648110, + 379161759, + 358267932, + 958307362, + 208347124, + 232028392, + 575001302, + 723682585, + 844897502, + 449327140, + 125340679, + 2677847, + 732449516, + 536873838, + 560050164, + 719012020, + 117066196, + 159364132, + 221088992, + 762700494, + 937025242, + 728356399, + 938024993, + 881173365, + 79132140, + 358395201, + 941883706, + 182289434, + 118776158, + 396900808, + 562518465, + 506572799, + 441692968, + 525636278, + 823715019, + 84608973, + 278974721, + 947170410, + 674387666, + 467416630, + 702822863, + 261709382, + 553473949, + 67094895, + 143932339, + 398914922, + 798086456, + 946025060, + 537876502, + 951862026, + 353709769, + 687535877, + 636570715, + 815919554, + 954792220, + 866583653, + 218319573, + 766746388, + 675337075, + 59856501, + 686127337, + 284506829, + 920616014, + 583100752, + 340348809, + 841300682, + 339312201, + 127034180, + 84566628, + 717702551, + 511640395, + 930269892, + 100702891, + 529125247, + 21914649, + 312412400, + 928086577, + 410019209, + 92818825, + 549929494, + 981444929, + 25900458, + 716198526, + 295153565, + 615095929, + 730361626, + 836795933, + 999545402, + 851013151, + 591392566, + 956602277, + 625175700, + 441958224, + 649324586, + 925649371, + 197424524, + 587705118, + 208501610, + 387209147, + 489878338, + 18945482, + 381867631, + 525719109, + 591263005, + 778076016, + 33535872, + 791210570, + 933105466, + 97089417, + 928856265, + 346421912, + 491097472, + 109204323, + 798599800, + 732591864, + 852265908, + 351294478, + 432217407, + 630692369, + 5011476, + 409276478, + 921752962, + 616089812, + 165350285, + 315932043, + 824417652, + 919799186, + 323123050, + 472453189, + 204799721, + 407436764, + 302316048, + 848764993, + 363963145, + 433460168, + 434590594, + 236498487, + 171804394, + 782220782, + 447540696, + 593949628, + 842943995, + 188193299, + 881910628, + 96403731, + 857697932, + 999898392, + 597014922, + 118539428, + 835675037, + 768537707, + 661485358, + 895838105, + 69666030, + 266644198, + 484582237, + 360666734, + 995273906, + 343504041, + 179995299, + 12413511, + 890092222, + 245239949, + 95218218, + 213157463, + 966892720, + 366018052, + 911053937, + 755351139, + 712997567, + 210109939, + 724320166, + 694737449, + 258807253, + 786641617, + 66183870, + 820708459, + 505899913, + 325916036, + 588597585, + 565158937, + 120473543, + 307953110, + 34960871, + 444689233, + 307158408, + 488980048, + 510068046, + 335016346, + 481661027, + 759718310, + 557273190, + 437252777, + 93072630, + 65396633, + 2168909, + 14984443, + 30751135, + 126873377, + 209876525, + 522250578, + 439843228, + 759991122, + 314039797, + 490374192, + 55727678, + 492203637, + 366111372, + 438386789, + 963332486, + 694429120, + 563841227, + 717088283, + 572085090, + 887707528, + 169585901, + 405721606, + 869546682, + 605108745, + 355129221, + 198265080, + 128098387, + 138533744, + 521109220, + 640787981, + 645344901, + 91838048, + 16145318, + 730532757, + 371755034, + 560522754, + 925264220, + 230870361, + 868421141, + 779818311, + 843813731, + 494634056, + 780759664, + 474669722, + 915867174, + 335682517, + 991963247, + 524858308, + 561800985, + 302554884, + 920424520, + 257662327, + 682566932, + 936374822, + 266471240, + 310380347, + 170498703, + 183692950, + 879678860, + 117715818, + 429644780, + 8421027, + 808260029, + 912054695, + 577106254, + 265154265, + 483792650, + 324293057, + 422124216, + 759403666, + 524146374, + 930744328, + 597123765, + 61532749, + 669832498, + 648974750, + 127831384, + 365747858, + 95886359, + 989986237, + 626322693, + 520679505, + 289321280, + 256316534, + 750284110, + 306897398, + 209036119, + 487741136, + 712325978, + 201582003, + 689574486, + 275607296, + 84853598, + 496834237, + 909623884, + 830153048, + 994799468, + 232851956, + 964839038, + 302248526, + 857206791, + 461416520, + 966257722, + 338980713, + 792000569, + 939055669, + 599204077, + 751007869, + 518026988, + 313738798, + 280876621, + 694638724, + 774501906, + 411007642, + 717070929, + 809992569, + 424058777, + 654108211, + 949497042, + 856058012, + 515088415, + 150033402, + 184190208, + 604045479, + 79432257, + 755844963, + 564988677, + 902641037, + 250113289, + 454223112, + 43614, + 642456501, + 368337520, + 781161371, + 417174977, + 408175278, + 810892531, + 816744006, + 680813996, + 699982517, + 967194655, + 330316636, + 22151650, + 402825535, + 512598379, + 376093944, + 72130687, + 476417016, + 971294027, + 287561268, + 342924520, + 801267926, + 612670901, + 131686014, + 82817689, + 530671356, + 17996151, + 681501249, + 278540267, + 834188144, + 753833403, + 623264375, + 691656979, + 17171308, + 530223678, + 473646122, + 401556701, + 534632722, + 655784896, + 63729468, + 501302301, + 865179996, + 204760471, + 477759126, + 357007774, + 465463607, + 379109392, + 160119059, + 968277734, + 328786761, + 99376881, + 841704279, + 557973981, + 483748540, + 13287179, + 55555250, + 625402004, + 149937363, + 334866841, + 198834809, + 33852911, + 215845275, + 997145595, + 669091445, + 331838443, + 937133476, + 95481512, + 899004604, + 509718973, + 454788132, + 329552724, + 662510361, + 729254642, + 867905749, + 544701067, + 463125631, + 5775454, + 417616342, + 838597086, + 670091629, + 328375564, + 875517021, + 141997903, + 423232496, + 935050938, + 214342220, + 934873548, + 584306877, + 952273339, + 225509920, + 530638965, + 785865628, + 453471363, + 644944805, + 385372788, + 367021902, + 356704394, + 434226196, + 366464984, + 361147813, + 266772563, + 775620960, + 405032188, + 374036509, + 950182870, + 150619861, + 568103889, + 398386436, + 833139533, + 309799367, + 199389843, + 332788285, + 845520973, + 948221092, + 559397304, + 240452089, + 193507897, + 780366737, + 378822265, + 958423909, + 766930706, + 502345468, + 111525421, + 729609648, + 864069779, + 133365739, + 636538493, + 956792313, + 377028856, + 887929496, + 139905059, + 885947813, + 663017618, + 682620004, + 961072651, + 425218808, + 111670217, + 587484806, + 491936132, + 810713262, + 66870563, + 512750352, + 119126864, + 942670458, + 967781113, + 299741075, + 957151730, + 865503763, + 625332449, + 714780286, + 16332042, + 839196601, + 417438781, + 942595743, + 308696363, + 111454419, + 795996272, + 34526303, + 793975111, + 6282553, + 408867075, + 436264893, + 461654711, + 618962101, + 530022632, + 829647388, + 156872641, + 187710743, + 970417786, + 71976312, + 610361693, + 949479604, + 246548379, + 60479703, + 42451571, + 656802860, + 772289577, + 14518986, + 195282734, + 370587337, + 133553451, + 64416399, + 442890948, + 485741959, + 699998431, + 241657904, + 58633389, + 920623010, + 289516918, + 623982319, + 628132245, + 324686655, + 207837984, + 142786353, + 492564506, + 433210785, + 831953417, + 685746843, + 842556764, + 206951696, + 206731260, + 249203418, + 668174154, + 543635027, + 502227111, + 545762778, + 620695418, + 952518958, + 313357760, + 597833754, + 850279114, + 930604267, + 138743961, + 425430882, + 132596380, + 30383291, + 374084580, + 410697054, + 702052459, + 638782283, + 363685741, + 913792401, + 123347115, + 461827128, + 638599332, + 215244093, + 321021363, + 476016363, + 1461675, + 45979772, + 937705394, + 639380550, + 172207016, + 405063498, + 414093361, + 449212281, + 697463256, + 446953401, + 397567661, + 399641177, + 795707329, + 552662821, + 45437688, + 888941280, + 636399790, + 437665209, + 386894403, + 609108199, + 496016833, + 287646015, + 571821346, + 853173417, + 334521050, + 550092012, + 180411843, + 854161700, + 637774807, + 172130141, + 473306557, + 681612487, + 352832744, + 122586686, + 637694400, + 692879737, + 591291682, + 981786908, + 978517379, + 978259274, + 153218609, + 108983698, + 344589107, + 431225067, + 283773337, + 16874998, + 789471476, + 681745664, + 723252806, + 486355568, + 135080642, + 725199571, + 133989025, + 553655325, + 789001098, + 417229735, + 698712627, + 465916496, + 128890711, + 932365923, + 442489840, + 20348537, + 379270386, + 721960128, + 654718826, + 880264207, + 824562947, + 57870886, + 183643859, + 55544912, + 871806385, + 307234173, + 674377438, + 616547204, + 29048767, + 622707378, + 638501651, + 42575826, + 794491021, + 254065296, + 634986747, + 839890980, + 153718278, + 81502635, + 262782705, + 308343245, + 150454410, + 489692326, + 846350010, + 490531363, + 610165739, + 185061216, + 909633745, + 732526928, + 372873343, + 62061389, + 936605100, + 868811995, + 376397259, + 21427269, + 61081961, + 590623202, + 83386566, + 770277784, + 530604088, + 705449490, + 603515148, + 240188204, + 79556189, + 73213164, + 318974944, + 501978821, + 842647372, + 630258014, + 797137689, + 242297588, + 831306680, + 337483316, + 984607008, + 83592413, + 957993560, + 319370199, + 969893588, + 801948141, + 413072584, + 860681067, + 482809105, + 116048314, + 332080979, + 786629740, + 121772985, + 297211291, + 552511225, + 687308825, + 637586830, + 393696551, + 581992644, + 854933264, + 602100001, + 275234771, + 947943033, + 403659762, + 670060606, + 413988580, + 724443366, + 535512391, + 234695318, + 294536528, + 580114306, + 473667100, + 154686180, + 194815987, + 59119057, + 590502875, + 33435055, + 784492567, + 565680445, + 48365162, + 67648197, + 538783754, + 27807752, + 523451656, + 81936984, + 716476866, + 76564714, + 76983929, + 701628465, + 797651206, + 760977945, + 110264943, + 107205470, + 806386059, + 224017925, + 524662792, + 915142691, + 82382194, + 74191064, + 624795494, + 465732245, + 23317184, + 995398586, + 5792809, + 832318002, + 8233686, + 343410017, + 683201362, + 708229493, + 46592239, + 889600085, + 391346744, + 693712764, + 985578382, + 421460321, + 799018305, + 899495022, + 169384173, + 711315909, + 932606066, + 407112087, + 107212997, + 127173274, + 549331434, + 165822476, + 412842413, + 709751620, + 129586311, + 103648263, + 528382316, + 401740975, + 889725580, + 759519193, + 259012337, + 234722774, + 132693213, + 840487560, + 771044427, + 408869996, + 346410317, + 639252735, + 526956413, + 175324229, + 144301283, + 124795321, + 123676424, + 942884026, + 850147778, + 657792443, + 703425942, + 388641, + 121438034, + 161285757, + 505869942, + 582008538, + 762252199, + 68467190, + 761693379, + 540902078, + 486788932, + 396987106, + 79480612, + 924049794, + 55517531, + 932001218, + 118323420, + 81699984, + 562273810, + 225841391, + 215324278, + 450212108, + 579759726, + 425763496, + 867973372, + 935809193, + 700281229, + 519562061, + 790131948, + 545400591, + 760138174, + 534717199, + 715562907, + 299164471, + 54709790, + 262449949, + 941957997, + 193636201, + 938484018, + 556684314, + 790642728, + 830955502, + 782613257, + 835499476, + 350615220, + 442547349, + 878006573, + 519599805, + 602795433, + 614442068, + 760561439, + 565453429, + 486318914, + 518558747, + 897194988, + 691660475, + 869738414, + 459965580, + 827276447, + 153273058, + 181643091, + 114025849, + 1596374, + 568360265, + 777838208, + 248214415, + 939142246, + 572654076, + 293714797, + 127585250, + 215102787, + 753244412, + 116111454, + 866651814, + 297331625, + 45598963, + 530605481, + 601746773, + 319119198, + 961383471, + 431373450, + 599883305, + 702058050, + 754629590, + 232351653, + 89083252, + 4574979, + 304661738, + 78974751, + 347372914, + 841813221, + 25677573, + 779670565, + 664323172, + 971423606, + 512356403, + 472045475, + 904238933, + 123209771, + 104165480, + 725285974, + 789654972, + 645203660, + 556542973, + 833307576, + 171009585, + 497911565, + 990187581, + 134569211, + 78256141, + 668549834, + 616112711, + 974264265, + 770377850, + 283930706, + 463433618, + 923306117, + 145452656, + 623405779, + 345415410, + 804373929, + 761750569, + 714922274, + 202706760, + 538576753, + 194921375, + 495708910, + 770207467, + 551934885, + 971870355, + 399191316, + 873340881, + 511993981, + 952024808, + 15967464, + 991863829, + 840984318, + 340722335, + 35068426, + 665027986, + 269576584, + 421989073, + 184789442, + 490460084, + 636718701, + 734553327, + 740300451, + 553853712, + 187881444, + 293542311, + 528727756, + 433462447, + 61708221, + 154513484, + 827155805, + 24662583, + 248824353, + 608998986, + 410428764, + 533117898, + 435377543, + 705885726, + 829633463, + 530328957, + 204163889, + 295289789, + 186615962, + 664728932, + 858453621, + 13969806, + 829531987, + 870241367, + 854031354, + 147716673, + 93578702, + 806507977, + 717387749, + 891453664, + 677772263, + 616945855, + 793614240, + 422967955, + 962773593, + 417104144, + 257595027, + 443949157, + 561511625, + 697535945, + 423220917, + 788259437, + 317140086, + 640742596, + 590472774, + 897867833, + 682229424, + 466191145, + 3286040, + 322360756, + 463155731, + 340016784, + 638440711, + 914846263, + 420071060, + 560456275, + 32699863, + 445791861, + 716569373, + 844238808, + 118404009, + 274633291, + 793470737, + 875877453, + 612831002, + 478611077, + 389404729, + 984735129, + 210044671, + 677434432, + 99212266, + 555957124, + 528654183, + 946372062, + 940568699, + 519281209, + 868818722, + 61387056, + 17179453, + 580340148, + 306219069, + 875414750, + 955694467, + 495935794, + 38727398, + 506119234, + 770184454, + 65799012, + 733658408, + 491521380, + 350513747, + 942135894, + 673462299, + 133519114, + 954360097, + 159382527, + 483507782, + 232026997, + 329447804, + 539750538, + 718822257, + 930205765, + 414553174, + 348770025, + 923940396, + 910764897, + 772069724, + 312804504, + 963270649, + 393704375, + 348722496, + 843132185, + 846578065, + 238537683, + 374867953, + 781497167, + 428140821, + 924784363, + 788810705, + 699801749, + 609208482, + 284093996, + 4841993, + 202941407, + 456683576, + 347922901, + 552394559, + 44348543, + 376038478, + 434962180, + 136766865, + 961571482, + 285039048, + 776735211, + 707825865, + 985816210, + 472392173, + 228075409, + 759065925, + 372412296, + 822877538, + 723929673, + 654629205, + 595097851, + 213998061, + 950254485, + 425270556, + 928896428, + 684833265, + 222829854, + 869698823, + 258978845, + 30359610, + 380197016, + 533078636, + 551011009, + 797944108, + 490252043, + 324941535, + 99343242, + 291253012, + 958108281, + 214470748, + 999776105, + 443717896, + 972165388, + 290684236, + 685281391, + 641344667, + 672862760, + 231413481, + 244287049, + 211039333, + 821458999, + 839048171, + 379112572, + 929163769, + 17510751, + 916627320, + 33312156, + 461537528, + 379441438, + 949035690, + 31249030, + 633409942, + 594860507, + 371089371, + 242691666, + 481651210, + 524772094, + 93040546, + 227772914, + 988718422, + 838006517, + 465077336, + 568222577, + 101273288, + 385433529, + 607047303, + 732634826, + 70054198, + 498495849, + 579073114, + 72815786, + 723859431, + 314954920, + 947694418, + 377829628, + 325596677, + 897618957, + 406212686, + 976495119, + 357751523, + 849136431, + 643586696, + 903003536, + 815051188, + 12641752, + 670853784, + 775177740, + 476881609, + 958465789, + 215316849, + 274376079, + 354055668, + 588790232, + 236267761, + 877988149, + 352588320, + 226212203, + 382128129, + 569246807, + 330814637, + 153966813, + 504036207, + 445062820, + 431074388, + 658722163, + 640153769, + 203489672, + 149975235, + 997608347, + 740535378, + 835239994, + 469505316, + 698607500, + 633449601, + 351552265, + 838793348, + 455992601, + 999578770, + 173174167, + 854569504, + 87226380, + 291693081, + 912116389, + 319858932, + 74190199, + 536724871, + 938076228, + 919005043, + 417569782, + 519587181, + 668222107, + 857958197, + 725224235, + 738017825, + 821723288, + 366792492, + 510883716, + 634435156, + 759563938, + 400585911, + 97940889, + 522928089, + 191430059, + 17230388, + 537893800, + 805024730, + 669064498, + 55267594, + 893703880, + 643761884, + 970251683, + 849330385, + 308594921, + 728157639, + 381446512, + 687812549, + 383805660, + 788042453, + 229884002, + 60798482, + 733122943, + 262519653, + 616174204, + 995217253, + 141226324, + 986127160, + 284085874, + 209313203, + 219724967, + 438750232, + 295998030, + 693303032, + 934096628, + 854194175, + 764422687, + 18643011, + 442279491, + 484225500, + 790428137, + 764602025, + 327903317, + 808009378, + 560360004, + 197408817, + 26776564, + 649269144, + 505095170, + 555886797, + 974323566, + 300334098, + 901184289, + 113438782, + 418156785, + 399172642, + 497022088, + 283066583, + 99694225, + 754493533, + 4626074, + 397334157, + 268800401, + 494661111, + 225974292, + 682167577, + 888525629, + 401494760, + 665252168, + 469677720, + 830085621, + 142771085, + 466856913, + 325449205, + 69342485, + 651545484, + 150810890, + 994639298, + 440247596, + 520889768, + 932521486, + 874116308, + 650958254, + 161649247, + 620555027, + 549149914, + 234997699, + 71705103, + 739600504, + 32530367, + 95210306, + 683452818, + 784379630, + 639596358, + 789792380, + 466181360, + 72828722, + 899667307, + 744863366, + 994931162, + 74493590, + 270740105, + 800354380, + 77604074, + 135386577, + 560841760, + 585631463, + 695060118, + 232548117, + 791299059, + 538151673, + 734135121, + 279209507, + 668173333, + 338792078, + 968814800, + 81626120, + 512042870, + 651222164, + 915125029, + 735213630, + 167477314, + 406726827, + 752478031, + 895178620, + 9997475, + 629321996, + 833524832, + 489862241, + 841860187, + 920706301, + 490013097, + 14122966, + 284077980, + 508796954, + 410881166, + 729462168, + 607862465, + 821410572, + 211771836, + 861486524, + 632549589, + 421276415, + 786993019, + 575964929, + 597033708, + 177969270, + 218707697, + 781769451, + 463121241, + 90535066, + 927344202, + 770028211, + 996628732, + 383143781, + 858205208, + 29420819, + 617365603, + 145136155, + 198875222, + 615580822, + 898740800, + 772663707, + 472234099, + 165151568, + 443368163, + 211968138, + 451245898, + 428075435, + 165679922, + 113344164, + 3769855, + 256653320, + 133413631, + 727469610, + 486098748, + 929334483, + 639555445, + 404596006, + 548065924, + 370813574, + 341669324, + 602949654, + 380358515, + 96822051, + 1118486, + 955916092, + 395056355, + 884860820, + 6242584, + 442811196, + 812572264, + 251842308, + 691734781, + 32638324, + 681779439, + 184437081, + 987773983, + 355271956, + 876520174, + 406595733, + 701059084, + 489274932, + 157064002, + 850937718, + 507074627, + 121735021, + 382612933, + 791755985, + 328727520, + 896650475, + 588363506, + 646619326, + 699859986, + 295954559, + 834581413, + 243407255, + 665206123, + 897120812, + 957834345, + 305037159, + 307666379, + 605404139, + 274462227, + 948929917, + 136731124, + 472543423, + 174276837, + 641696790, + 801595518, + 104336176, + 253646590, + 697319475, + 648842081, + 559902726, + 604182215, + 340515188, + 35574323, + 866080631, + 949314673, + 404499509, + 153299264, + 602402663, + 373360244, + 949905973, + 908560456, + 257336820, + 651656023, + 924285265, + 222579498, + 602856062, + 392357233, + 820715156, + 679150839, + 944909752, + 201402736, + 202384080, + 398979465, + 119666651, + 755090724, + 655001157, + 473768283, + 454874096, + 960019491, + 969051576, + 701814879, + 27311654, + 520726070, + 616493762, + 198470870, + 271619428, + 519113916, + 567373459, + 140374598, + 443606072, + 126088796, + 313639336, + 154154570, + 535744725, + 300206938, + 688037478, + 840720462, + 856364404, + 26844060, + 231464148, + 555392595, + 359412081, + 263165960, + 70702783, + 586942872, + 206829641, + 63642528, + 50443961, + 174809771, + 921917196, + 177047358, + 409891197, + 744846198, + 8345575, + 841438745, + 809130017, + 180412223, + 274114380, + 427735312, + 736725133, + 112327009, + 511326341, + 183181306, + 770868250, + 468515026, + 707490145, + 781410399, + 400277117, + 680160404, + 442077734, + 514067810, + 445439973, + 225787582, + 343739749, + 387253165, + 266138195, + 320647158, + 158291461, + 669299015, + 995450661, + 969909759, + 146401451, + 77668703, + 666235744, + 329678966, + 51982323, + 226685844, + 676867557, + 280273550, + 208041703, + 709663427, + 287045650, + 425345898, + 1419665, + 486528884, + 745518479, + 497879972, + 377137535, + 503374775, + 255720956, + 227903624, + 41969282, + 286855215, + 511030851, + 606418448, + 208380838, + 897597973, + 989983803, + 661769362, + 483923248, + 417626442, + 284621584, + 751926330, + 296090221, + 646720605, + 444924874, + 882902277, + 427465935, + 225319662, + 398086012, + 323837887, + 915753333, + 945679534, + 679651724, + 60322251, + 150302013, + 67845969, + 72569382, + 243891548, + 879874884, + 138719871, + 936435206, + 890886609, + 852825054, + 708069430, + 550940926, + 932052985, + 855032299, + 368591102, + 640019862, + 390698750, + 193507395, + 196834733, + 622074266, + 126987687, + 411409845, + 604743306, + 365411382, + 460884794, + 258449759, + 242264399, + 237604742, + 874070633, + 322017826, + 192571166, + 510958501, + 778629522, + 590984385, + 382593067, + 210497301, + 263658383, + 760181537, + 993102983, + 951158322, + 605952329, + 491253944, + 911150791, + 250995514, + 410586035, + 984374254, + 751149040, + 148485143, + 525178075, + 484690925, + 541227806, + 808248307, + 149813515, + 114009163, + 893595037, + 427141771, + 219671241, + 998828348, + 490171770, + 865853087, + 891377259, + 102490793, + 75385506, + 231389788, + 181241267, + 229091804, + 121846366, + 456833835, + 836131835, + 577639435, + 293216123, + 330098476, + 820380636, + 561293306, + 289059809, + 462548246, + 202234955, + 353976428, + 96170721, + 232461330, + 267076346, + 373029426, + 917661456, + 333864179, + 656997944, + 530215512, + 238489139, + 341518824, + 548513016, + 222542320, + 478902131, + 826357635, + 911434805, + 142031190, + 458879636, + 146481294, + 663899257, + 902994568, + 173084382, + 145551260, + 555907732, + 473868283, + 900963359, + 252924287, + 980943230, + 262913852, + 609767902, + 507956769, + 263288185, + 725993154, + 37224988, + 331248183, + 444569867, + 686316938, + 503317446, + 110753999, + 319594477, + 26467614, + 106202392, + 264577672, + 314043839, + 271461966, + 433787989, + 825293630, + 754367303, + 583320638, + 460296893, + 589812197, + 429561124, + 518683091, + 938742938, + 119412706, + 374165363, + 938284209, + 305949983, + 804270010, + 574394643, + 991744311, + 118443661, + 822879414, + 328227190, + 910036176, + 17933687, + 703760776, + 561289408, + 177049757, + 684934702, + 914704245, + 207001642, + 866918731, + 823178253, + 300884385, + 562530673, + 894888474, + 910244844, + 801151327, + 647319703, + 379453284, + 123445171, + 176281675, + 494467837, + 942048165, + 250332363, + 459953736, + 440588952, + 896721180, + 175107811, + 54092084, + 429556569, + 5843311, + 606754169, + 100100912, + 749292426, + 395672109, + 256915470, + 675549833, + 278599767, + 827463273, + 205778696, + 370152831, + 954397288, + 2164284, + 567110357, + 473106855, + 771994664, + 714608428, + 895042302, + 557506954, + 932448618, + 721137930, + 234869816, + 501862426, + 735547089, + 805023335, + 747757381, + 689361061, + 533458854, + 237647205, + 821818219, + 41426574, + 328475030, + 99495784, + 836698770, + 835286273, + 410322052, + 984523554, + 58814160, + 80738940, + 112189037, + 828986607, + 945517327, + 819555420, + 683393828, + 294570418, + 735516857, + 914859422, + 339363622, + 56567986, + 730086057, + 406731681, + 871977797, + 625550332, + 778201973, + 656013319, + 127922228, + 769992406, + 685136657, + 266053156, + 649667035, + 565278183, + 60696089, + 30818042, + 679111362, + 740685406, + 479067710, + 689859720, + 988885107, + 722100653, + 755827653, + 271051363, + 252810337, + 844530659, + 589680383, + 690086097, + 565648112, + 543705890, + 167608035, + 171833127, + 131978869, + 284792339, + 597313695, + 996716791, + 318240269, + 998940055, + 977339257, + 306408485, + 608957671, + 127164840, + 796665191, + 245245236, + 498784847, + 193224771, + 475805254, + 339071655, + 627409825, + 390653256, + 802894785, + 789937067, + 435010543, + 217239892, + 544297688, + 933216027, + 183063337, + 623802049, + 466710905, + 90157274, + 44544327, + 438484299, + 130389846, + 78482038, + 635189788, + 491464602, + 271858489, + 316674054, + 80818423, + 827382936, + 300282340, + 937879262, + 973575199, + 963836998, + 577340561, + 870558739, + 35043234, + 705638627, + 788801211, + 416353104, + 746577685, + 122470636, + 161039091, + 149250509, + 795299898, + 854803459, + 580148041, + 218832186, + 758111499, + 866919925, + 560304820, + 99138667, + 304103801, + 846468106, + 291081113, + 578967674, + 957899648, + 536051432, + 837572095, + 994298351, + 248835685, + 826798370, + 529669552, + 610699440, + 678600867, + 720621194, + 202533857, + 797090424, + 819840461, + 70430494, + 696059918, + 684876147, + 982207358, + 750507000, + 185901059, + 95651986, + 649978527, + 816638198, + 160443269, + 827910783, + 778120241, + 745249043, + 591985312, + 109083386, + 477751891, + 984513252, + 709976694, + 297773412, + 851524947, + 681053614, + 780899882, + 445100108, + 501998733, + 320622053, + 351416832, + 885205159, + 73224995, + 335461910, + 565216084, + 861169419, + 207633613, + 403287215, + 74111710, + 286342053, + 292022703, + 513527225, + 187584824, + 133691723, + 499210600, + 213443258, + 287471122, + 618393242, + 738878188, + 68938031, + 383425363, + 613406592, + 372008077, + 742253956, + 775739693, + 26905992, + 630436120, + 491637199, + 79810719, + 826872396, + 765664145, + 756001255, + 810916261, + 563901103, + 702313094, + 51720547, + 36752729, + 631293777, + 868634755, + 606974473, + 921875943, + 826921024, + 413858819, + 934407288, + 767664397, + 667206188, + 892320422, + 440717390, + 22454585, + 370729048, + 507540039, + 648928118, + 953208674, + 153422897, + 558453816, + 504370340, + 339062949, + 775367377, + 886597678, + 229207474, + 359999767, + 212504605, + 329514343, + 521070166, + 584691212, + 522097630, + 730005150, + 573159893, + 580693080, + 170111128, + 983988501, + 753808708, + 530703933, + 739300643, + 511253787, + 337731073, + 998135795, + 268398175, + 291119040, + 44379789, + 53534450, + 370608071, + 687487187, + 463754231, + 756637967, + 54947543, + 484519653, + 664651257, + 554403348, + 962917791, + 132434921, + 996938050, + 856629197, + 62188486, + 430657152, + 960621340, + 546370441, + 423576078, + 90983461, + 913272721, + 260585594, + 949017436, + 81799541, + 98457753, + 382697235, + 516091999, + 837529383, + 354168323, + 410562672, + 365610323, + 466594698, + 60086798, + 425769179, + 118004119, + 117673719, + 800871825, + 854056186, + 189130560, + 267959020, + 203337893, + 585359150, + 528188684, + 979702187, + 872766516, + 335187621, + 572539606, + 76300765, + 758091312, + 826040959, + 415544877, + 920007767, + 751131862, + 413309020, + 902212650, + 39852873, + 421505984, + 211105902, + 482979776, + 99264944, + 237961538, + 454133948, + 448477408, + 261957290, + 704682300, + 502543717, + 722587503, + 741236490, + 889941655, + 748929382, + 355129153, + 993908356, + 386253100, + 376162772, + 155936180, + 964753134, + 55319350, + 143651904, + 959500652, + 307388582, + 960796260, + 606856621, + 318252918, + 994909220, + 105127913, + 318127686, + 799498817, + 269695535, + 177855059, + 374334745, + 101091784, + 179714580, + 534119571, + 2662042, + 505599163, + 303240296, + 748255283, + 485523776, + 97067949, + 517300224, + 225825648, + 137197996, + 58932629, + 491265072, + 411585349, + 243238379, + 471830434, + 403795694, + 582371192, + 210682627, + 459978366, + 730496243, + 352447278, + 311870834, + 435709580, + 356141122, + 104290588, + 152268445, + 689192412, + 540340939, + 534626279, + 562119192, + 413011350, + 460847845, + 337407045, + 703427412, + 196425942, + 498543882, + 509698972, + 351204807, + 19254399, + 950074222, + 60481259, + 41783015, + 78845838, + 256144984, + 179427146, + 236688369, + 354860826, + 670209283, + 117602006, + 662134056, + 69062043, + 740870758, + 709944041, + 807363351, + 432499275, + 388460379, + 986157557, + 850476402, + 888686808, + 248355584, + 829545927, + 730601385, + 452586541, + 952048301, + 331345140, + 690333466, + 705933849, + 160462644, + 912052275, + 441326150, + 957628992, + 380564357, + 177907216, + 518045293, + 501584658, + 769326267, + 2354527, + 74765302, + 891332527, + 681320715, + 296975873, + 110672121, + 61462801, + 876871907, + 685445422, + 4464673, + 29779098, + 709580428, + 46414917, + 310656980, + 815461442, + 768858403, + 54152391, + 489389243, + 890073646, + 455533508, + 696230023, + 156008759, + 492306516, + 496724495, + 320187812, + 87045073, + 738092783, + 502597072, + 513166093, + 42432789, + 111620166, + 342011923, + 692512176, + 207560766, + 771364723, + 956617771, + 567874447, + 604943608, + 868326724, + 725320718, + 412038251, + 957229689, + 20059922, + 156771823, + 531615597, + 377845091, + 153296965, + 884643913, + 462562114, + 727234276, + 968921668, + 869764333, + 724395186, + 312868471, + 712540966, + 174103664, + 189317693, + 897242971, + 515410779, + 254781283, + 450798394, + 873892950, + 62033777, + 847758349, + 352819556, + 817200848, + 428736930, + 764350038, + 780249694, + 567118560, + 916654001, + 403365416, + 996621133, + 390785595, + 206792668, + 804141086, + 100851526, + 914001120, + 557464861, + 455942232, + 148082850, + 320184729, + 836790673, + 296551729, + 16576373, + 23496179, + 54502873, + 439838260, + 294925297, + 79819362, + 622115519, + 60978142, + 493042697, + 143112142, + 13543209, + 650593766, + 786514394, + 70620262, + 829768261, + 283563898, + 304002706, + 327040436, + 112976741, + 191284388, + 594973539, + 34259798, + 531628570, + 812422387, + 293752457, + 261783231, + 482201721, + 304258099, + 204108154, + 913599340, + 771564423, + 614810393, + 551875327, + 552856056, + 486549859, + 352643674, + 489382476, + 222203947, + 34676663, + 353345602, + 405567283, + 37740605, + 719960226, + 731888158, + 540640824, + 616047759, + 867338996, + 66868419, + 811895180, + 528657494, + 583178565, + 954867971, + 36912817, + 303227950, + 681030327, + 858082812, + 876423342, + 472599820, + 732273192, + 202487463, + 160761547, + 143399114, + 64440160, + 938634614, + 89743644, + 11624246, + 550801273, + 715237723, + 349025082, + 312565365, + 347772011, + 343653802, + 953487178, + 146998113, + 791889478, + 422862016, + 32852289, + 236239741, + 982936018, + 928162002, + 46696594, + 966825204, + 714176533, + 483897977, + 488149535, + 275126528, + 134086093, + 310840895, + 940476028, + 503605009, + 283398146, + 285418422, + 733538371, + 848939887, + 586540347, + 566607436, + 73169051, + 596232300, + 648502571, + 504156304, + 716327546, + 365400430, + 165267403, + 270668493, + 110688632, + 746841988, + 826770218, + 584808155, + 629840771, + 959857660, + 571115888, + 419783503, + 264771973, + 559932797, + 713272185, + 327059055, + 491869853, + 126870212, + 943624357, + 341523760, + 881776263, + 197709695, + 563533211, + 161991913, + 596081138, + 936847804, + 880883051, + 763894956, + 649991543, + 202432193, + 981229383, + 566540972, + 697875864, + 549769751, + 584793347, + 87872993, + 437187257, + 498951566, + 780374348, + 812494860, + 198364843, + 112236126, + 4434574, + 26308296, + 284809245, + 644265592, + 716574721, + 469809694, + 47212815, + 930293702, + 769816223, + 851524070, + 974557707, + 417927067, + 988014075, + 548894841, + 944934471, + 534380646, + 916201076, + 507742046, + 183344156, + 555003962, + 730731882, + 338631254, + 213456991, + 835848787, + 463135004, + 163719207, + 547583795, + 172018018, + 551463748, + 798642454, + 241294735, + 912689910, + 327531143, + 874208931, + 881209635, + 927979016, + 155973364, + 382575366, + 276507351, + 717305005, + 235255131, + 417722772, + 301679359, + 238171167, + 196467628, + 991079336, + 355352441, + 870684474, + 624157850, + 58826251, + 727523258, + 571358482, + 469433131, + 381156092, + 918402430, + 579019735, + 123760131, + 749017982, + 7902194, + 72020105, + 17229512, + 848595009, + 296674496, + 789046217, + 926955835, + 273930538, + 18623572, + 716460555, + 132658981, + 955901730, + 28370841, + 845380532, + 517777163, + 792371242, + 680710926, + 249267160, + 364122774, + 134338990, + 740494115, + 173915097, + 659543286, + 1485915, + 352617189, + 849143308, + 35220108, + 358992585, + 483078019, + 750079469, + 50382622, + 552232343, + 47514277, + 744390590, + 204165518, + 273089341, + 949572632, + 537264966, + 802513036, + 992183283, + 563255606, + 234650509, + 965216042, + 469195486, + 743664524, + 297681891, + 592837399, + 381502985, + 401408884, + 573590229, + 69807257, + 789857387, + 234632127, + 892790860, + 987228509, + 562062125, + 353072107, + 303513245, + 508343118, + 861457663, + 691259846, + 408040444, + 105499650, + 975807021, + 833229321, + 826704432, + 231459788, + 110374165, + 359794964, + 795020559, + 885788309, + 944409392, + 281026772, + 717644537, + 142959124, + 47344550, + 397053606, + 143124640, + 331699547, + 947549452, + 302837089, + 42070615, + 634262406, + 264289754, + 545486565, + 711066942, + 795044404, + 322583336, + 723693266, + 717523301, + 486716260, + 262864483, + 403046285, + 252218198, + 455423920, + 70131662, + 183838862, + 151325702, + 771592565, + 511425883, + 478537264, + 836619313, + 436473956, + 514921220, + 979889841, + 213928783, + 512405017, + 638014610, + 337357992, + 303167201, + 335471463, + 234275375, + 722551790, + 97773847, + 38002053, + 263456329, + 439480896, + 402944023, + 180297267, + 134721440, + 170909688, + 508346464, + 251469673, + 145287981, + 721450817, + 838861921, + 696240752, + 326178725, + 51109783, + 447139878, + 921621522, + 628372391, + 448278910, + 38552630, + 701141761, + 970994769, + 44155232, + 96112281, + 790563874, + 260165122, + 698261937, + 362410678, + 656409726, + 978379578, + 177760713, + 367373710, + 204255750, + 59702440, + 99688330, + 438494480, + 806598393, + 190953048, + 350801135, + 42704133, + 725137975, + 32150981, + 413273570, + 25375826, + 381388630, + 80106413, + 640908171, + 689781470, + 348988253, + 745813771, + 573398239, + 67501696, + 713778019, + 995042047, + 162470258, + 54748706, + 710379897, + 507429422, + 643332074, + 969025571, + 217696222, + 27342122, + 318211121, + 915210972, + 611154364, + 643439001, + 959481397, + 433512782, + 826934947, + 161178457, + 72551132, + 753420119, + 771258215, + 850001796, + 450179159, + 607495265, + 497969333, + 418343914, + 881995633, + 11545807, + 804327193, + 387454741, + 148522831, + 271320338, + 875179811, + 875197437, + 727507637, + 522804663, + 3446556, + 514217354, + 818476421, + 359153621, + 143607968, + 211916325, + 612499820, + 85604557, + 301288365, + 801612197, + 964974767, + 342097550, + 538901963, + 440973359, + 807146163, + 80075582, + 320052621, + 979660077, + 397206430, + 62423570, + 248533194, + 927327549, + 135964089, + 317354882, + 725939951, + 449709189, + 991849147, + 302323154, + 845445725, + 877710623, + 48745123, + 281960231, + 351901037, + 394776954, + 877097293, + 652275962, + 839063531, + 378191472, + 581997797, + 282350815, + 265370047, + 905611198, + 710594388, + 158936117, + 865801692, + 866585384, + 390245912, + 787349240, + 500075554, + 453923759, + 782912311, + 371759605, + 388331703, + 814279542, + 689597862, + 611375634, + 103378527, + 714982719, + 916251166, + 299014930, + 912761223, + 946612162, + 100484425, + 299860204, + 493794850, + 27972709, + 574551456, + 135006052, + 618085924, + 889307304, + 563797693, + 897709078, + 76787998, + 267892918, + 335610078, + 181719055, + 350076104, + 805118734, + 405784662, + 575796573, + 950324999, + 498749742, + 15908423, + 678607014, + 158693669, + 387340010, + 743336020, + 205694108, + 658260049, + 240773263, + 567519358, + 733797760, + 459076840, + 108551197, + 551842044, + 821441194, + 650986461, + 450357785, + 792989760, + 32620599, + 182038843, + 670129088, + 126427264, + 418769502, + 444468600, + 43147711, + 652638983, + 610421507, + 49792595, + 875380084, + 695801476, + 726743202, + 46818457, + 853602206, + 188362529, + 464197583, + 177407883, + 893033934, + 980403255, + 759397935, + 16588686, + 796941254, + 168145411, + 552900316, + 590180409, + 389212311, + 760147014, + 914040915, + 255640206, + 964621421, + 314041082, + 301159850, + 990913388, + 823242406, + 224150399, + 511663028, + 83794996, + 725258912, + 982255769, + 387301512, + 61044918, + 604206715, + 6560635, + 159003373, + 876065923, + 446458685, + 575819420, + 595707192, + 515396707, + 977399506, + 46243335, + 678188680, + 861252723, + 295499368, + 2403139, + 59428282, + 978041180, + 841329095, + 838569452, + 172413884, + 686592205, + 364878866, + 903413213, + 540325791, + 628297897, + 659994300, + 14327929, + 92242101, + 704084998, + 563861770, + 888718518, + 486453265, + 843416941, + 923148550, + 596845218, + 168014666, + 937261383, + 434164362, + 460076957, + 504638254, + 781029187, + 500031230, + 192344848, + 905126583, + 801164972, + 36962633, + 799009782, + 714834576, + 598872362, + 394999835, + 708517593, + 333901620, + 95535125, + 952630806, + 27608092, + 293135020, + 494720277, + 133660921, + 957123208, + 257324240, + 413915064, + 130731254, + 442856784, + 303012228, + 542439690, + 735719642, + 298099117, + 200171449, + 736276902, + 872647012, + 990034475, + 62094518, + 325971064, + 41742423, + 931395718, + 989550689, + 773128436, + 759777896, + 890389535, + 35777385, + 143149843, + 405263773, + 437817131, + 676086317, + 998863129, + 77826230, + 75452282, + 794677396, + 905163618, + 255901761, + 621933811, + 260169603, + 660151089, + 251332905, + 578717666, + 881444813, + 615405590, + 123720284, + 529124547, + 770526156, + 993872760, + 484469853, + 572811385, + 732782192, + 258758951, + 732396703, + 828635931, + 548055559, + 888768533, + 727443345, + 566718095, + 677814307, + 227924775, + 190101187, + 243210363, + 359218445, + 214159932, + 813589143, + 896351428, + 708242100, + 880178317, + 511402059, + 228707181, + 678425026, + 936587129, + 928103065, + 643237395, + 679554959, + 245576905, + 772031417, + 499476389, + 637959694, + 961913239, + 883745675, + 511961423, + 989622873, + 98185944, + 552152707, + 455826834, + 458043980, + 963808855, + 975911847, + 746007704, + 819155874, + 878642872, + 695738095, + 618663713, + 949279228, + 980100962, + 793310588, + 121138824, + 769838415, + 339332915, + 694724109, + 23758255, + 841431865, + 813624776, + 899607254, + 943905277, + 938634110, + 684112090, + 110543979, + 146741571, + 50995361, + 293070168, + 485327105, + 308561943, + 757296883, + 875128196, + 96792046, + 269805462, + 735719240, + 87242995, + 644878879, + 316499840, + 369383257, + 715063590, + 522365187, + 69370398, + 628879089, + 403054925, + 929626750, + 674766610, + 172236677, + 794064729, + 604488596, + 922916520, + 72737291, + 741891931, + 972622550, + 402549104, + 786486198, + 287508226, + 948988935, + 113987743, + 582851672, + 449940500, + 763087817, + 367676502, + 195273923, + 352049570, + 24825186, + 141433577, + 838274923, + 596323450, + 471562200, + 517569326, + 760050218, + 28926339, + 778042322, + 546981570, + 127491680, + 862255330, + 29867446, + 394065726, + 195911953, + 781401443, + 504070639, + 419382622, + 736500216, + 750644628, + 776402254, + 948438021, + 550482791, + 183683835, + 374064047, + 264930782, + 996142570, + 462216985, + 159698236, + 534997270, + 957659958, + 652435467, + 385282047, + 632702530, + 686636003, + 496329990, + 588308517, + 306167660, + 915276882, + 660264085, + 261206539, + 529577767, + 526043379, + 960527825, + 371472137, + 143676938, + 468687928, + 763070459, + 900326149, + 747698078, + 960890996, + 659972215, + 640638845, + 932279137, + 680389901, + 432892663, + 962683918, + 236756674, + 778051773, + 956869579, + 1864928, + 176042658, + 941338650, + 113407588, + 598546948, + 221292248, + 862553852, + 817497039, + 876630419, + 588138775, + 486586696, + 530658755, + 488754115, + 925026579, + 748713072, + 951595903, + 141495507, + 316806354, + 262928959, + 686156531, + 577060825, + 620020764, + 55122958, + 250923065, + 151216116, + 69928311, + 503298422, + 658333042, + 357841527, + 229431227, + 600298001, + 996265243, + 584895494, + 318657894, + 879571698, + 896795154, + 886208711, + 289896059, + 434529256, + 366654896, + 685369052, + 10158723, + 909205214, + 763208513, + 652782790, + 971484869, + 780369892, + 617642165, + 223842894, + 135471044, + 150643872, + 588884754, + 916035068, + 773790979, + 658913006, + 348128187, + 835334282, + 469632201, + 896883549, + 225718400, + 930694631, + 548746683, + 126220038, + 683787517, + 412506219, + 233298896, + 167805799, + 337681339, + 280224351, + 667844210, + 773517688, + 63351775, + 987180971, + 321854021, + 923154014, + 336248902, + 900068433, + 303905794, + 161353114, + 938345246, + 41175877, + 416314606, + 752708250, + 475789286, + 632730991, + 229233958, + 740533274, + 72765360, + 70184957, + 306187474, + 295147514, + 845469061, + 699516525, + 967305005, + 273040619, + 234392177, + 518780922, + 993147839, + 34470897, + 430058336, + 965412926, + 155696676, + 905855881, + 640023894, + 692195872, + 547009835, + 640942550, + 224326714, + 721935623, + 714643218, + 722088582, + 873585914, + 540273932, + 473874320, + 349040499, + 117943897, + 687298970, + 741273642, + 989936930, + 202009241, + 438385979, + 623982603, + 44218362, + 849356684, + 368584983, + 257509090, + 41556264, + 703173890, + 397118505, + 489176745, + 94049903, + 830648559, + 237843559, + 156503529, + 958454600, + 211394390, + 81836913, + 563888047, + 164872458, + 550543095, + 548873346, + 469194972, + 731584198, + 557556445, + 950902226, + 604221875, + 263103555, + 41203706, + 703440297, + 815560508, + 362997023, + 47327310, + 213268570, + 198239150, + 686234695, + 828177661, + 254018183, + 847755255, + 561459186, + 109893133, + 527528842, + 548232939, + 996215599, + 381073207, + 47310263, + 778461447, + 724775851, + 137464861, + 398507028, + 233902132, + 922365606, + 443949593, + 753912916, + 293083426, + 320370985, + 165333391, + 883445137, + 990945525, + 728536063, + 249591004, + 202500290, + 604698034, + 264843630, + 775305845, + 100598745, + 413088633, + 597646407, + 509158444, + 257792266, + 107649747, + 409731741, + 22114873, + 119007590, + 135556896, + 485923556, + 482017091, + 61925401, + 80733447, + 521040661, + 960358823, + 573433162, + 693326284, + 587229693, + 577398563, + 770292102, + 442548455, + 16186533, + 815007675, + 979726830, + 11419931, + 918322745, + 222591662, + 149499837, + 692412536, + 609644521, + 666979184, + 14307163, + 667354471, + 343122859, + 948228710, + 666778160, + 261443494, + 340746107, + 901511799, + 109002019, + 773147263, + 45977041, + 423016367, + 853863415, + 820303653, + 123329754, + 396563912, + 371167663, + 5174532, + 591171828, + 612946599, + 655823739, + 799022885, + 221543722, + 999025968, + 427023907, + 616779060, + 543906488, + 964900222, + 766265513, + 341183172, + 504675079, + 733475147, + 618991188, + 684419770, + 424705378, + 543362883, + 486796195, + 755850608, + 319341040, + 28895222, + 493750344, + 127371669, + 586559122, + 763184998, + 850335179, + 745631429, + 738964534, + 724601597, + 535927203, + 599840601, + 779771727, + 86462472, + 523342504, + 761368795, + 727686122, + 293606588, + 979292766, + 229750365, + 562688691, + 808116415, + 293770669, + 441142124, + 663284380, + 250589369, + 122452513, + 533741283, + 632056635, + 973161809, + 825678961, + 737784484, + 228636052, + 70787389, + 938786943, + 356478742, + 497536600, + 905171869, + 576763735, + 668168745, + 303524093, + 13728102, + 568475085, + 130340752, + 151682600, + 122756996, + 774706136, + 68116481, + 11078552, + 311623321, + 796971660, + 802195981, + 714738303, + 732069753, + 495482396, + 82680899, + 723178060, + 920016478, + 660359656, + 284338357, + 934260049, + 750233210, + 442501992, + 145277922, + 787106515, + 556983803, + 913098816, + 160657621, + 446512121, + 838272604, + 542632262, + 804053690, + 131442646, + 705329977, + 213468155, + 764236929, + 320877037, + 381665354, + 731189516, + 628434050, + 592667030, + 766967476, + 728109825, + 368906849, + 798029692, + 420832609, + 632033476, + 800727529, + 282253708, + 468786234, + 95777256, + 357452923, + 270480590, + 754484317, + 468231130, + 938856586, + 897804419, + 533195164, + 818633313, + 323041572, + 92406074, + 7348017, + 624860376, + 496061253, + 925290011, + 955328203, + 198946938, + 322323360, + 124747525, + 190819177, + 22684122, + 499602772, + 419448565, + 641227954, + 662172938, + 703467210, + 1852176, + 679402470, + 766491616, + 853870808, + 373406034, + 670829864, + 681511546, + 205518726, + 326725184, + 275818422, + 304521169, + 862566852, + 765511949, + 59425234, + 547890217, + 916634345, + 260341415, + 708066847, + 641490687, + 104919555, + 314952705, + 150133418, + 736205191, + 252950931, + 701605690, + 139056781, + 143679253, + 687959433, + 349525669, + 346385928, + 147660628, + 700838464, + 767943134, + 671065992, + 751008901, + 150929656, + 269609358, + 535064972, + 99766405, + 848970262, + 264371149, + 335796848, + 719218818, + 9940227, + 824290150, + 986114192, + 808445529, + 424904670, + 324279123, + 220351840, + 324290984, + 833970024, + 767665757, + 559241827, + 185165582, + 140601521, + 371780144, + 793231567, + 19894892, + 430883585, + 699991969, + 889057858, + 78929471, + 149634271, + 135069669, + 120810408, + 935661469, + 683389647, + 959037732, + 778754578, + 400424986, + 817760206, + 280428126, + 214201670, + 669318707, + 714734433, + 97333924, + 384127674, + 345122746, + 141818128, + 541931210, + 985551490, + 462789767, + 478669034, + 532793487, + 558722969, + 864795904, + 725225090, + 353538775, + 926719358, + 436671202, + 591282431, + 162099606, + 998505748, + 128994065, + 908107409, + 235558687, + 585367523, + 687337610, + 977404339, + 402638533, + 710941136, + 752780150, + 424407648, + 874828482, + 919367474, + 109746069, + 619604742, + 842015298, + 534573590, + 277644816, + 776422371, + 44957069, + 153150338, + 810400200, + 521917051, + 395006583, + 640896140, + 732232983, + 11586803, + 753322675, + 599272868, + 279864049, + 695356348, + 380051579, + 746256011, + 184162653, + 818432170, + 378633177, + 527723407, + 438043093, + 425184002, + 248857035, + 240253943, + 544859581, + 974319774, + 610800957, + 995837925, + 967977540, + 241841313, + 707513632, + 770945505, + 2773393, + 617972447, + 524660504, + 986559697, + 614537706, + 109843413, + 840751530, + 800274315, + 879427851, + 636959428, + 464854741, + 752595672, + 600003994, + 56520576, + 760893470, + 136306590, + 876395109, + 692286217, + 502841047, + 423380576, + 61090198, + 894866861, + 560995886, + 214348358, + 39884570, + 712571316, + 425079536, + 694569095, + 704361322, + 877671755, + 831089344, + 159204254, + 848018792, + 330229320, + 965656881, + 690165615, + 985303270, + 767209802, + 696087630, + 904657214, + 142984579, + 542793650, + 715330369, + 414910452, + 250382445, + 42810572, + 986162704, + 990023361, + 164643856, + 101797138, + 602476779, + 336642993, + 600318339, + 313830982, + 236358810, + 205323882, + 638712614, + 771922573, + 588916727, + 845136229, + 536523287, + 192579719, + 841630137, + 217180380, + 119603173, + 833597815, + 292095677, + 320102446, + 14905830, + 83603725, + 186390955, + 725883945, + 400795847, + 144232290, + 211174276, + 19969981, + 773005708, + 231197211, + 793221499, + 110039785, + 255782499, + 229367973, + 379108767, + 135023214, + 403590337, + 766536063, + 318087147, + 437306221, + 443159520, + 53231197, + 187914733, + 186485914, + 947430477, + 824880312, + 99845325, + 586310739, + 147880745, + 757689942, + 480225865, + 884196104, + 724458463, + 437300611, + 528418070, + 794761615, + 81053361, + 260935829, + 433993397, + 486730705, + 409208184, + 227898548, + 166952317, + 326203202, + 804441387, + 970435240, + 213109729, + 299376038, + 608484533, + 614086434, + 569726618, + 642417041, + 939807507, + 501528654, + 521631135, + 642174676, + 768013133, + 32664160, + 284562482, + 463754885, + 528806925, + 734919163, + 474628748, + 601194090, + 249544527, + 771510533, + 645822504, + 219348256, + 308851395, + 487048350, + 354027557, + 529222429, + 233041875, + 796744258, + 344722296, + 54456119, + 966170966, + 444614173, + 106160788, + 92379911, + 542153412, + 932589788, + 21084285, + 66689461, + 435968342, + 284961973, + 294348860, + 302741628, + 545766375, + 274948478, + 658770497, + 372058635, + 389839982, + 814102898, + 763128115, + 553904866, + 794171112, + 727875519, + 317183668, + 521352642, + 580884019, + 830802225, + 985392151, + 797419239, + 629907440, + 637403157, + 418749339, + 261634107, + 463480826, + 374311457, + 479057829, + 140194937, + 40370952, + 300461749, + 389921145, + 282864210, + 471704331, + 622484842, + 907092139, + 919889922, + 887950227, + 85008962, + 124813194, + 562004291, + 897476454, + 993609390, + 404455091, + 206455668, + 243914991, + 414149464, + 64360883, + 318681081, + 848085621, + 681839858, + 967338519, + 318545130, + 458081651, + 209603701, + 917362653, + 564129151, + 833454844, + 58462927, + 940068900, + 833518678, + 220223820, + 339608426, + 391518142, + 299640446, + 769413547, + 495099294, + 401146699, + 507155190, + 118029580, + 735427658, + 677145253, + 855991427, + 277340214, + 679562578, + 826011061, + 266456921, + 265927684, + 777632559, + 810447415, + 643970436, + 372767736, + 321921330, + 451658917, + 867577908, + 181474705, + 683271196, + 279862204, + 789125808, + 298236469, + 986691883, + 930082443, + 232896174, + 298169652, + 367684932, + 318634145, + 798891381, + 98818838, + 705157878, + 167773018, + 75154030, + 202385048, + 315947231, + 735818772, + 806517444, + 330913934, + 797794677, + 396553846, + 136074564, + 101598923, + 658865658, + 351358164, + 727537208, + 925896815, + 73336052, + 316107707, + 616332995, + 929450055, + 994943597, + 997132741, + 723060435, + 320006446, + 374771345, + 335247825, + 834151687, + 498083513, + 701705956, + 386598606, + 302167781, + 675221844, + 675117933, + 578222047, + 737243707, + 704885387, + 739217281, + 809988831, + 390797612, + 745954865, + 677885937, + 391719278, + 666004980, + 642750899, + 454836291, + 964117552, + 762298815, + 535051889, + 79469651, + 135488966, + 935527747, + 728181968, + 598017374, + 232778268, + 819798847, + 701308356, + 657166794, + 647647231, + 376664798, + 300645991, + 741459030, + 861564258, + 710762354, + 50971726, + 329060413, + 324196205, + 626600453, + 608408865, + 772816592, + 407112287, + 376708593, + 876193677, + 886854642, + 74760775, + 35784394, + 712288626, + 643612706, + 437347958, + 592694728, + 578940060, + 390272813, + 541448221, + 875382927, + 457952254, + 322453710, + 408058610, + 566599132, + 18886587, + 743645638, + 228724009, + 738709622, + 850491059, + 744659002, + 294186725, + 845792042, + 925495606, + 153124415, + 287462864, + 794054943, + 195333208, + 322361003, + 572593617, + 86804752, + 66769471, + 132085725, + 308606842, + 614117544, + 361700944, + 256597380, + 144681895, + 272949560, + 6859641, + 307359239, + 533564250, + 496470802, + 551335910, + 433102387, + 45805144, + 885594589, + 455145636, + 32686903, + 34556333, + 176412464, + 884193066, + 482503837, + 903104170, + 442038892, + 37281303, + 253761603, + 419253466, + 966537319, + 439651181, + 228478121, + 804736847, + 199182714, + 309477271, + 815705171, + 511124741, + 135187980, + 53348787, + 14619523, + 389280165, + 588465017, + 304942713, + 108788547, + 572786800, + 331692029, + 118166083, + 533690604, + 962043242, + 530590007, + 211766443, + 995108204, + 317883054, + 446335474, + 13653370, + 151359685, + 43405803, + 702208488, + 474292709, + 866748661, + 410157439, + 311602955, + 642160460, + 587369861, + 536644904, + 440559880, + 894780571, + 79925606, + 837947309, + 905687497, + 253322863, + 268972503, + 118232929, + 645801423, + 97235104, + 380554238, + 395002598, + 470194092, + 845062624, + 520119405, + 50649832, + 481785253, + 725124531, + 938125894, + 391603298, + 266153685, + 328188582, + 472665690, + 893333876, + 86934475, + 174029777, + 454087773, + 874963800, + 991495711, + 224468844, + 872581620, + 651803981, + 523586516, + 508438322, + 823886942, + 816836362, + 840054325, + 963670520, + 900145393, + 337063505, + 333570810, + 182227852, + 486169920, + 600941438, + 349268875, + 156123866, + 136390574, + 773664267, + 890005139, + 945843524, + 618995132, + 848920491, + 152661243, + 982385936, + 363201339, + 530140041, + 32290103, + 93273673, + 559952565, + 632851955, + 915567826, + 556840431, + 458635736, + 830120820, + 670525962, + 504513389, + 389372953, + 718326486, + 612056870, + 665752457, + 211491411, + 846779777, + 824718181, + 495924958, + 692398841, + 959054757, + 23557249, + 414022349, + 814350440, + 425282957, + 80292023, + 199274393, + 224843545, + 246520811, + 206618574, + 992652418, + 612469681, + 408484592, + 376838628, + 38405177, + 778505846, + 151771996, + 904547726, + 19727132, + 713202228, + 989466118, + 430267299, + 977421269, + 691089740, + 376751903, + 515990152, + 650376375, + 861894823, + 145115471, + 55672274, + 734369547, + 964193207, + 468953012, + 445495317, + 535704766, + 408699544, + 166283998, + 139941389, + 237212303, + 447265928, + 616581199, + 574107788, + 649982766, + 883967291, + 36274920, + 627580659, + 997115144, + 737259321, + 84091577, + 715916418, + 900775314, + 578508115, + 208560649, + 115498904, + 265565893, + 719720048, + 748950174, + 327250058, + 106475586, + 212863650, + 622778591, + 30337435, + 907043881, + 997311675, + 834291850, + 964202613, + 507767464, + 829570922, + 795307828, + 494170145, + 108744165, + 96938833, + 513387679, + 461489248, + 696110062, + 170139187, + 3227602, + 188419447, + 496815981, + 857654973, + 259949843, + 360529700, + 301037714, + 210858298, + 743934717, + 766306082, + 743378069, + 882730339, + 502774557, + 819756889, + 639263650, + 20626285, + 676808621, + 20354810, + 641918017, + 736814330, + 59789319, + 376067608, + 358490539, + 469175327, + 63404781, + 504772403, + 586790040, + 565798435, + 362711253, + 752184707, + 951541265, + 609110988, + 463690330, + 755539008, + 78066373, + 673193711, + 139748648, + 636283218, + 184106540, + 267258503, + 15263995, + 601958933, + 781284644, + 494561805, + 287653110, + 590253963, + 505752075, + 653929099, + 127063079, + 589447023, + 727395196, + 730111825, + 952375782, + 248930184, + 749255835, + 982449204, + 747599487, + 870611105, + 360968813, + 552874133, + 201539611, + 594720335, + 346599828, + 401045034, + 453592701, + 86757586, + 952272348, + 366218126, + 519317258, + 170437409, + 509156379, + 8129882, + 489170057, + 510178445, + 542872261, + 983045333, + 66542734, + 179668892, + 182339457, + 286072885, + 522541154, + 156717941, + 436268971, + 981623728, + 243445503, + 795015877, + 43936776, + 625331171, + 538984196, + 365219156, + 980305313, + 101442336, + 962398703, + 429336051, + 253548586, + 353754098, + 864657896, + 663626869, + 22800267, + 221718636, + 842227589, + 904034798, + 662689385, + 863239320, + 251478649, + 83530103, + 267225908, + 504095527, + 366659290, + 986917293, + 378949772, + 573918055, + 804074442, + 28963827, + 877801936, + 134114486, + 683582861, + 986964220, + 910531177, + 455811316, + 412804165, + 952817834, + 878699020, + 155980752, + 791532949, + 621904697, + 343576206, + 162766437, + 5607776, + 553591409, + 461501391, + 47614227, + 778357318, + 483128717, + 159409865, + 838757241, + 332130875, + 338431934, + 279874014, + 111336782, + 230379611, + 145468718, + 666095199, + 582843105, + 138164651, + 384220008, + 224690943, + 219604087, + 913653740, + 266555964, + 32825627, + 675131353, + 68910217, + 812466110, + 407644144, + 733609521, + 313197533, + 670180321, + 291282653, + 851322428, + 842607525, + 69158326, + 644683224, + 895320340, + 196982786, + 235702588, + 24974190, + 788372399, + 408003321, + 126442540, + 359616978, + 611354299, + 983763378, + 446134050, + 336699380, + 616577570, + 871189094, + 326474133, + 810492588, + 909916585, + 395807651, + 916566056, + 13413641, + 89832354, + 799073494, + 110348738, + 938972123, + 470874532, + 964750208, + 854265487, + 660134753, + 708790854, + 688918173, + 138891916, + 886382749, + 223659308, + 329224850, + 337793546, + 429982678, + 637264789, + 236351526, + 179134911, + 641404727, + 813049033, + 897176197, + 796695739, + 446597720, + 750385352, + 349207654, + 370147998, + 145231668, + 90937993, + 692660077, + 895878886, + 848808502, + 739870579, + 549181382, + 178374293, + 449736225, + 47741791, + 77945718, + 370737785, + 556076713, + 208643494, + 429788360, + 32166231, + 223354216, + 17220225, + 774782561, + 18161840, + 626404037, + 326918465, + 21158233, + 289135566, + 678438564, + 465378370, + 457159316, + 273108098, + 533518841, + 269648071, + 706486889, + 475718713, + 388581831, + 69773757, + 312978516, + 234047424, + 551252908, + 768791974, + 290950419, + 128361396, + 221288489, + 771184635, + 109991697, + 59034412, + 646574489, + 663064871, + 134020825, + 900619915, + 646865896, + 314854956, + 482429410, + 863152067, + 334158461, + 100422004, + 374804504, + 575883956, + 939347278, + 697044614, + 563802389, + 551073818, + 68406001, + 80560985, + 447397234, + 46433886, + 361793631, + 9922670, + 510111369, + 566426459, + 640523265, + 983318793, + 831528365, + 637846054, + 799921018, + 989381502, + 925350665, + 205751204, + 349294927, + 950764778, + 960347811, + 74932193, + 754959053, + 953937891, + 431377926, + 599696603, + 934568857, + 69960290, + 673938518, + 478937548, + 876173022, + 947758506, + 368878899, + 239193094, + 859414828, + 670428817, + 590208953, + 966311952, + 366046174, + 238501698, + 758610045, + 175376800, + 497086777, + 353332811, + 690645448, + 373785761, + 62249379, + 263910698, + 41659919, + 768985816, + 259526346, + 581297435, + 9116755, + 719734226, + 188398697, + 978270757, + 199170175, + 606529753, + 346838945, + 784158581, + 186420207, + 140893477, + 492586742, + 702559751, + 507887020, + 582854242, + 842813212, + 58516652, + 451599527, + 609065459, + 755882003, + 233957277, + 576993846, + 85620898, + 74056383, + 288521624, + 646341670, + 247577538, + 336048000, + 163310897, + 607926585, + 948549899, + 195578539, + 787853801, + 841921349, + 504189152, + 506939826, + 85190012, + 52902058, + 308930491, + 961700861, + 790508361, + 204187681, + 544832705, + 212112639, + 621873681, + 819683184, + 784174519, + 59106329, + 925738236, + 689909544, + 231501733, + 963501959, + 934153605, + 40074772, + 664380679, + 118367355, + 839889348, + 509277770, + 8847783, + 136655527, + 493080778, + 392884551, + 488214790, + 73740874, + 228863003, + 979105535, + 713021563, + 509867357, + 704064117, + 663027828, + 800423748, + 545228551, + 580665472, + 322418656, + 977245905, + 765248190, + 951015523, + 190331532, + 98038073, + 289472084, + 774789763, + 809720008, + 360769345, + 374928879, + 799501989, + 613666037, + 328362611, + 977121845, + 279586948, + 761518660, + 104593005, + 428596923, + 500966732, + 122461611, + 133416156, + 531369538, + 441579339, + 561087057, + 541401335, + 484551478, + 962933909, + 68828815, + 936262422, + 245192795, + 302108729, + 574804815, + 736772182, + 534283273, + 164177857, + 25870604, + 951483887, + 588166945, + 589931645, + 975390755, + 872467997, + 599678330, + 464797505, + 817348087, + 376252548, + 176091685, + 989508962, + 574577914, + 959741275, + 977829102, + 181920390, + 770240365, + 535067416, + 508163218, + 472321680, + 591967885, + 726403076, + 470480205, + 892244149, + 745115632, + 809117891, + 840869599, + 522610393, + 39366727, + 621260115, + 717342009, + 462326160, + 382647137, + 144060920, + 576714448, + 347349925, + 300746360, + 149577339, + 36076501, + 361008706, + 249020640, + 980626600, + 636806777, + 474857013, + 373943378, + 972747975, + 936227862, + 782525928, + 520855724, + 706109284, + 724031189, + 621285377, + 793941717, + 594439918, + 596022720, + 423053126, + 715539454, + 658023840, + 981037499, + 900853822, + 593076953, + 312938548, + 621751578, + 128577187, + 868964449, + 370300345, + 204233601, + 759407020, + 730487272, + 939429511, + 760360169, + 607099419, + 234153769, + 794403822, + 973717478, + 712319924, + 825817032, + 797810328, + 58866618, + 728749947, + 921727999, + 712719588, + 941390903, + 502079886, + 357537801, + 34558441, + 839903620, + 737032587, + 690314283, + 184292713, + 566645704, + 748997692, + 874448775, + 895240876, + 924336378, + 163030313, + 404514069, + 755798542, + 888128182, + 230860570, + 650351870, + 859823840, + 588641293, + 963381129, + 586188270, + 325491592, + 990348641, + 550024371, + 346105434, + 54338953, + 793847088, + 590837772, + 364789743, + 66517391, + 599678650, + 404648195, + 986403122, + 400828672, + 379826444, + 93073034, + 798202695, + 948199485, + 714822736, + 420265248, + 292025334, + 852670803, + 119652695, + 6606489, + 932703888, + 522556738, + 833677381, + 762788956, + 214181591, + 315978937, + 352251616, + 955740766, + 947441999, + 30237661, + 466782735, + 504703568, + 41764012, + 680117786, + 988670382, + 349917913, + 439230303, + 779641867, + 238176247, + 323670141, + 645509058, + 43437344, + 14838556, + 662998229, + 939103706, + 972738981, + 748044544, + 713008489, + 942955268, + 35804957, + 825012336, + 831958908, + 277297462, + 656991762, + 388517540, + 94607425, + 706921427, + 839535921, + 136731811, + 701997233, + 777391626, + 380426638, + 231791464, + 364306933, + 224630061, + 985802659, + 556848798, + 260432290, + 616502258, + 923805925, + 802796589, + 602764088, + 402465867, + 108075762, + 578459907, + 411352971, + 638461704, + 819914019, + 678700331, + 119248952, + 730903122, + 577979127, + 962072683, + 521973496, + 729988248, + 541877104, + 913177136, + 400208668, + 347035522, + 529595463, + 251424564, + 533313977, + 22475977, + 106957132, + 861872378, + 995192314, + 447261267, + 658190210, + 532692232, + 620227724, + 566026272, + 24116753, + 998333736, + 11501490, + 670680749, + 329768777, + 149715320, + 794868264, + 391746953, + 330068789, + 307322419, + 249174033, + 394267228, + 233279729, + 84287000, + 729892112, + 124624239, + 682906059, + 551094950, + 716081689, + 355690625, + 67015773, + 895958517, + 144628419, + 814004160, + 983335457, + 216952369, + 714948515, + 655707309, + 849817174, + 515758708, + 92191059, + 246444143, + 242776055, + 801707408, + 967120967, + 536171252, + 285719234, + 198404249, + 497392979, + 72219855, + 973161060, + 173184891, + 71824281, + 856813078, + 827102161, + 158013431, + 655185139, + 846195372, + 850895874, + 986407185, + 987852535, + 341770458, + 247410980, + 566673889, + 96060634, + 646113030, + 76480317, + 784602436, + 735448001, + 914843745, + 518308140, + 919120788, + 973740814, + 653853583, + 390656106, + 561738876, + 414030318, + 801746413, + 868651505, + 406778313, + 666991066, + 336058286, + 242661779, + 174787314, + 354954591, + 523429725, + 334257202, + 805322691, + 497841642, + 423797828, + 335242058, + 514620193, + 779657426, + 458600046, + 56503647, + 741670705, + 702436589, + 904185919, + 458162468, + 616550242, + 566505940, + 320146058, + 634233842, + 892033784, + 677431498, + 329374425, + 528469945, + 101644620, + 541245319, + 362323162, + 862548172, + 215363395, + 339856918, + 769333535, + 465965061, + 521366376, + 798224113, + 603007989, + 283873806, + 652484383, + 85156567, + 253390545, + 566617675, + 144777563, + 388755797, + 829554604, + 795086383, + 321652635, + 152023942, + 337516377, + 182885998, + 289843418, + 833943168, + 78822898, + 619646641, + 925518432, + 418386802, + 878701817, + 113022893, + 768488409, + 847597656, + 500390984, + 973929644, + 611932748, + 861971546, + 409973463, + 682697733, + 175075390, + 745062616, + 734111998, + 659729631, + 85827156, + 470581355, + 317215293, + 685419000, + 850245144, + 512390821, + 623610047, + 197636379, + 78913203, + 184307390, + 445651469, + 54216151, + 373746002, + 814057587, + 636993994, + 510301635, + 75169271, + 801241368, + 521360958, + 155608949, + 653318400, + 735070407, + 882112988, + 234904159, + 707451243, + 165607957, + 18298824, + 644464980, + 836669301, + 458572658, + 863379402, + 607893209, + 303304990, + 400711305, + 350202415, + 772711671, + 85562967, + 520417813, + 719153116, + 801880482, + 764952491, + 905686983, + 46800229, + 362276183, + 793320715, + 942622583, + 28477967, + 483867128, + 997852191, + 770683831, + 824162142, + 686420546, + 21006633, + 83914096, + 109939866, + 132575583, + 857850770, + 954124235, + 379303337, + 464609206, + 738524200, + 255374020, + 781768297, + 387360208, + 527124036, + 588280960, + 217926332, + 669759414, + 109806802, + 293129429, + 588011701, + 369938881, + 536412684, + 600306029, + 264535428, + 177108850, + 397315142, + 288419401, + 435139305, + 368733747, + 405435077, + 574219769, + 428458307, + 797372882, + 678967488, + 684473439, + 979571950, + 617514840, + 856811950, + 43683265, + 515404807, + 415550465, + 341147280, + 483764641, + 688306296, + 190147823, + 603025837, + 663537828, + 503734429, + 272195385, + 84295341, + 524441915, + 977981106, + 274845540, + 935186661, + 929889741, + 601703154, + 282942465, + 832373333, + 286194255, + 118850994, + 159245110, + 747869597, + 592498920, + 705017285, + 15672379, + 476278257, + 196185957, + 730175958, + 239299541, + 850975211, + 165931132, + 232159600, + 608582730, + 219106843, + 820085563, + 928101393, + 547071346, + 135459848, + 111064620, + 578150358, + 669865282, + 762777801, + 137546177, + 921314788, + 279166616, + 913418356, + 684362628, + 421568778, + 368481929, + 767024213, + 405888725, + 395518758, + 521606038, + 97275232, + 88502510, + 884572837, + 461028363, + 710582613, + 196720887, + 122571153, + 26827230, + 522520046, + 700907017, + 623668052, + 65624186, + 465615059, + 23740015, + 288068727, + 161130849, + 633996895, + 521352717, + 891914162, + 736717189, + 250904272, + 188093774, + 227979479, + 805459651, + 826472644, + 591963918, + 244324070, + 546228642, + 94967459, + 819934443, + 160123850, + 213324842, + 197610859, + 185961750, + 534171404, + 831084729, + 525660906, + 713449163, + 52244499, + 104916178, + 704457237, + 497315992, + 804506785, + 991307728, + 505725950, + 161097587, + 254634232, + 964977009, + 859797017, + 63919266, + 199242516, + 669995827, + 70395628, + 407226633, + 646801574, + 852846786, + 134819584, + 968511605, + 578436727, + 113465095, + 414130209, + 219556131, + 940065303, + 550110580, + 518664680, + 533739764, + 654827226, + 117333355, + 632415088, + 221318246, + 745153814, + 578810069, + 665043401, + 212844218, + 589688770, + 1205503, + 160504413, + 840689855, + 234858627, + 654189047, + 61011111, + 906593389, + 237108709, + 914848934, + 262582740, + 195527104, + 928644740, + 303752501, + 342327150, + 630261739, + 975170849, + 235251731, + 545752590, + 352613047, + 492175523, + 12261076, + 497195032, + 850200854, + 260713353, + 825829736, + 257477582, + 589387562, + 928405293, + 206157591, + 949181802, + 360849585, + 46741251, + 295170199, + 706295111, + 533005651, + 913306632, + 430406394, + 741165857, + 80021536, + 796900536, + 120961904, + 945295298, + 503699377, + 823026863, + 864076956, + 145683753, + 163558109, + 256599978, + 422673187, + 447914234, + 142468997, + 31147789, + 818965358, + 594543813, + 296303157, + 249567419, + 363369253, + 338085283, + 29628428, + 356155356, + 51345863, + 456529078, + 454784804, + 698937652, + 585822628, + 74265788, + 175260154, + 458538002, + 230939120, + 232923485, + 469548796, + 838239513, + 96086155, + 628023891, + 227459915, + 425460631, + 993421207, + 264262663, + 275206241, + 172747344, + 151804428, + 565451014, + 89812929, + 490047659, + 432136891, + 705658100, + 822208812, + 771627003, + 947267948, + 33541487, + 639644191, + 613739182, + 236816760, + 748852163, + 601725339, + 269944973, + 92981780, + 215717120, + 773829412, + 803903030, + 577144986, + 299162002, + 962516923, + 801058070, + 447283735, + 863351163, + 451532659, + 706986630, + 202514234, + 281319266, + 754320382, + 142719597, + 294399743, + 549907959, + 640829798, + 909892845, + 302510270, + 939178705, + 566223859, + 80213564, + 88440945, + 373137426, + 351286323, + 862895698, + 918248913, + 849726982, + 180089737, + 173106597, + 410742198, + 432492815, + 661614304, + 547529598, + 983521541, + 198071539, + 126017389, + 370338220, + 541782419, + 218443222, + 830989933, + 352969273, + 387380376, + 140055440, + 841195049, + 552898958, + 166452525, + 560206661, + 829341339, + 753650047, + 123074525, + 628131242, + 332790821, + 840548027, + 72009381, + 384904738, + 609014728, + 96424802, + 460002418, + 595243342, + 837870170, + 69695324, + 878134806, + 544095881, + 61215947, + 503654930, + 816059001, + 619468219, + 276779715, + 598800030, + 897738735, + 103810351, + 93089515, + 714224793, + 881448085, + 371175153, + 843733907, + 362560589, + 20289362, + 620895065, + 84695449, + 869708050, + 675467852, + 129037906, + 382975751, + 625823232, + 356284245, + 76015016, + 327012849, + 436684624, + 141933157, + 803595559, + 327182174, + 537684153, + 781397188, + 77662475, + 420165865, + 700286416, + 796299995, + 320951803, + 731905165, + 749115377, + 984320390, + 393545864, + 624095621, + 955450889, + 489947084, + 236203250, + 80857222, + 470995416, + 951285508, + 787951557, + 646472072, + 761708369, + 812139984, + 788466185, + 31384586, + 839766709, + 562775948, + 139952842, + 919745781, + 820719003, + 706596706, + 399043067, + 444197511, + 575249403, + 312553277, + 796552355, + 325460064, + 567306718, + 482185227, + 898980249, + 223432726, + 899496448, + 621613996, + 350837707, + 965679026, + 487872058, + 737161698, + 804657984, + 408251822, + 783478500, + 337445798, + 555204131, + 735108006, + 766183939, + 209973681, + 372720545, + 571674581, + 416301187, + 696277719, + 163534652, + 999818146, + 30590342, + 798589899, + 694460848, + 655814183, + 244366492, + 906589106, + 610862786, + 356838282, + 926475778, + 937122236, + 459395723, + 452086887, + 588973167, + 986964719, + 724940159, + 522712810, + 808932525, + 916436498, + 776846029, + 311562741, + 242803330, + 599380320, + 725446071, + 23527501, + 60421952, + 227194823, + 973365632, + 106210932, + 327262111, + 708491323, + 741124486, + 547238252, + 475699520, + 306510071, + 359402814, + 344777535, + 204543331, + 162599917, + 491636895, + 530685425, + 914844145, + 880792222, + 853366643, + 76578823, + 214209159, + 423847362, + 537485380, + 683016635, + 705096175, + 244533398, + 966239035, + 776000687, + 240691101, + 588731100, + 541684456, + 688172583, + 121664892, + 587126223, + 132445809, + 834711812, + 583908185, + 919947384, + 381015076, + 662856505, + 459182314, + 736962031, + 106640340, + 675526035, + 951509132, + 823697235, + 780974982, + 252259208, + 719029395, + 887690181, + 200965479, + 535180573, + 411851227, + 323830535, + 470094292, + 597218120, + 857679632, + 352157050, + 223935420, + 334915641, + 281997926, + 163353768, + 38734013, + 825453155, + 718940329, + 8894949, + 43398744, + 322438157, + 467639557, + 629607849, + 764612699, + 620392049, + 636202752, + 692796995, + 493952614, + 588475927, + 641719531, + 745731048, + 500883891, + 957185974, + 211676195, + 848581709, + 705847154, + 337470133, + 368884221, + 386404580, + 800215375, + 355322806, + 472879812, + 154798360, + 900468319, + 970839863, + 520786401, + 216812551, + 263838503, + 472833607, + 932924772, + 398018424, + 463334328, + 671492619, + 585815892, + 223362314, + 596263207, + 263536048, + 751186654, + 460313819, + 459759862, + 793458978, + 315934395, + 410097766, + 278863467, + 721237419, + 543877132, + 860850304, + 824053240, + 281103572, + 180739911, + 520622343, + 948181537, + 44061155, + 329406026, + 338418155, + 414983035, + 919201749, + 490882694, + 97030014, + 855327287, + 516933976, + 483067880, + 281127190, + 774444700, + 911361611, + 355166865, + 323963799, + 719114777, + 480826569, + 814281471, + 560821782, + 880389161, + 423475300, + 158387097, + 821219147, + 857069543, + 942343282, + 541211718, + 742509905, + 565682167, + 306730301, + 920437478, + 545348230, + 78788805, + 15028511, + 32353416, + 611567357, + 805587935, + 57927175, + 905287540, + 719098155, + 863122272, + 911582827, + 201907424, + 596349675, + 131811626, + 978112330, + 37621103, + 106460903, + 174457679, + 470245255, + 960035489, + 797359122, + 140608219, + 409057087, + 135655817, + 533428842, + 676024043, + 581130494, + 367129118, + 850386483, + 352174614, + 576878962, + 972849878, + 341284562, + 90193885, + 844628504, + 536644203, + 314742620, + 174242389, + 647992802, + 869317044, + 239701096, + 736300129, + 395770260, + 686276701, + 495900547, + 670036213, + 460216635, + 839481527, + 982167539, + 361086645, + 879651012, + 210755006, + 158278358, + 206501915, + 39670966, + 775122954, + 938088269, + 879076197, + 476452809, + 780612357, + 836275479, + 162467215, + 154449238, + 570108767, + 517523912, + 747041056, + 919886302, + 305429155, + 647880599, + 784800816, + 537037751, + 269123222, + 752473138, + 434872937, + 127054663, + 208307331, + 674291944, + 798338580, + 872993269, + 401172157, + 31513175, + 436215317, + 94739545, + 692244682, + 142217625, + 543687030, + 779438820, + 260664801, + 278246468, + 891315789, + 777025612, + 189794774, + 247932195, + 780769623, + 962461114, + 854533354, + 353186769, + 219402309, + 266800681, + 426437118, + 825889612, + 613862892, + 172510535, + 926733085, + 767124053, + 624930091, + 282795377, + 983304557, + 402987150, + 420304250, + 470365548, + 125109793, + 942616507, + 467659665, + 725967424, + 682431588, + 618490700, + 938358190, + 748137126, + 689737946, + 4942446, + 263020789, + 911156563, + 281590747, + 41413862, + 763724202, + 168786374, + 373541948, + 491963028, + 796476560, + 380638949, + 550618271, + 366212392, + 802540677, + 935837858, + 145813078, + 26551902, + 859908998, + 741089122, + 879324755, + 774152183, + 553397969, + 522102872, + 293403961, + 496186193, + 631764415, + 268840672, + 283489883, + 411464941, + 417291627, + 619799331, + 312625436, + 46831119, + 773932673, + 849779692, + 973613102, + 992126841, + 414905241, + 853962336, + 804524588, + 656105290, + 858541579, + 110395939, + 206785479, + 829208443, + 183957528, + 662731055, + 35781770, + 640217982, + 420058710, + 658375432, + 68313201, + 818028128, + 239760537, + 416142135, + 953810793, + 651614027, + 514216357, + 858989787, + 494487095, + 735211620, + 765594898, + 117435281, + 587467512, + 590070964, + 813815613, + 402712935, + 15804354, + 573914241, + 214613148, + 389224738, + 568673621, + 318959288, + 602779843, + 975574291, + 74691537, + 959635651, + 252439638, + 458082297, + 39603552, + 437297350, + 566696572, + 983331453, + 117707221, + 145705636, + 779143775, + 103787887, + 270487562, + 913375199, + 243993549, + 548463479, + 914311520, + 672330954, + 830288691, + 367161313, + 638779056, + 637671261, + 303322069, + 110959627, + 943604802, + 256169981, + 227095755, + 852797938, + 838255511, + 320953904, + 863953526, + 14441141, + 575279566, + 652156657, + 217747379, + 640053737, + 175095416, + 726275715, + 837783160, + 787174557, + 409652156, + 658790882, + 573847387, + 563901990, + 234563918, + 346661955, + 961591811, + 548185110, + 786115667, + 863049700, + 638957012, + 255114875, + 288038496, + 467032482, + 645092113, + 285548672, + 363713616, + 709716174, + 444432200, + 349084066, + 82825929, + 335786001, + 616960071, + 94503766, + 795986773, + 670604306, + 368981550, + 962109534, + 371121631, + 978466398, + 363776812, + 147204146, + 206603939, + 970039684, + 396604988, + 825699245, + 56015433, + 268981307, + 307848633, + 218727401, + 240449452, + 672875355, + 259329744, + 633364459, + 986812469, + 537775898, + 612099368, + 948242363, + 345422280, + 64429111, + 119958242, + 265279604, + 703981293, + 728174100, + 270394721, + 241347597, + 356142330, + 392246814, + 633952461, + 80359525, + 980557227, + 13963311, + 793218427, + 773011997, + 768939585, + 160713692, + 97359885, + 600189868, + 109537383, + 141566816, + 304099723, + 410747366, + 990859695, + 571907447, + 569525856, + 160859009, + 670484355, + 94417313, + 667780536, + 211780454, + 882817429, + 939658049, + 626881189, + 85035934, + 595811313, + 119578134, + 153477526, + 348389219, + 599139347, + 810176540, + 721797530, + 45900141, + 478292114, + 472864149, + 193745932, + 174149504, + 558550562, + 336485346, + 242936727, + 797941325, + 467779889, + 67391197, + 258002084, + 672875761, + 986502880, + 803458934, + 782388664, + 658024277, + 443439585, + 637118359, + 10708628, + 723242867, + 163909084, + 190466057, + 407304098, + 344872169, + 850881357, + 870774508, + 937426353, + 746032366, + 502326025, + 507091560, + 236814921, + 118350398, + 481434759, + 242804907, + 565890242, + 190519382, + 410660303, + 588180180, + 675786818, + 722252171, + 501379885, + 234148779, + 24567701, + 460241959, + 211612603, + 610829177, + 707635138, + 495982828, + 311356747, + 676330764, + 423686324, + 210432426, + 111667295, + 532322683, + 219051364, + 53355005, + 520742946, + 677177485, + 870308358, + 643578492, + 297412394, + 361790111, + 955721067, + 465286596, + 910137683, + 967273597, + 934646496, + 848374296, + 519076556, + 827220311, + 789421408, + 682391161, + 43176800, + 373390629, + 370848051, + 263315065, + 15886559, + 564272732, + 826186489, + 210193161, + 857009991, + 693843285, + 527193553, + 980097975, + 221732978, + 368733403, + 433713321, + 400078335, + 280043999, + 396627078, + 943522696, + 753382638, + 964705984, + 439332446, + 853231912, + 322972353, + 669093723, + 807342982, + 810615643, + 213434947, + 30829992, + 647675765, + 287910199, + 693320793, + 163599032, + 553608597, + 979987352, + 981974890, + 653222345, + 299330987, + 672380744, + 287036926, + 129620954, + 376428456, + 622849467, + 591525864, + 287801742, + 280103233, + 733202303, + 542327826, + 180788796, + 178480325, + 514037798, + 243243436, + 277296602, + 583188153, + 88015190, + 617692891, + 922350820, + 689738783, + 648558829, + 909650186, + 278357792, + 99840689, + 908065991, + 4133076, + 307386486, + 524163825, + 72061263, + 999981445, + 295494703, + 823642500, + 542062986, + 64961814, + 957708038, + 184238574, + 784326259, + 53216514, + 809426915, + 641804990, + 46852664, + 420412893, + 55772494, + 815936469, + 175592968, + 841048870, + 29556582, + 528830101, + 466328442, + 376322738, + 92636757, + 295787911, + 391760878, + 834893100, + 763465822, + 720294276, + 93196459, + 902156859, + 198773285, + 220538805, + 126924682, + 212057933, + 360608998, + 185176868, + 276048725, + 991750874, + 144127136, + 93566557, + 189186444, + 477514444, + 574352595, + 681964141, + 497737123, + 553366449, + 599682129, + 979480401, + 182409325, + 833739461, + 157961150, + 8730803, + 952392629, + 199845907, + 960144569, + 735691596, + 565130880, + 969651824, + 171198865, + 16322468, + 29402316, + 751687860, + 359039166, + 44581967, + 815367014, + 131680226, + 806823958, + 177198440, + 535040465, + 997929829, + 154269949, + 950687581, + 383218593, + 225875551, + 382275501, + 387880351, + 724419137, + 810234302, + 642549271, + 700160866, + 18954364, + 643635344, + 183207586, + 994045675, + 751660840, + 365704413, + 904391275, + 906548375, + 671881352, + 425291797, + 576231991, + 180039557, + 562107834, + 953131346, + 401378341, + 142370840, + 800468520, + 398077556, + 745693500, + 483284968, + 539154772, + 314418625, + 409057558, + 486971174, + 930523094, + 509799054, + 323276014, + 284891457, + 780601687, + 783547720, + 857462857, + 735845676, + 722312980, + 358858486, + 358472564, + 718065027, + 434985987, + 610464787, + 127157462, + 645482942, + 490616668, + 878140225, + 905288030, + 144553343, + 363290074, + 679564299, + 456123394, + 302053432, + 7602845, + 565164468, + 583675342, + 161754167, + 34634311, + 262987207, + 374560957, + 941883138, + 705765419, + 741289921, + 386670602, + 595171422, + 884591359, + 661174588, + 823047701, + 902087911, + 246808704, + 991963729, + 810723157, + 50581737, + 50044883, + 829273524, + 161201354, + 963304716, + 610541674, + 175684872, + 676681373, + 822577802, + 404182165, + 627557884, + 547419690, + 29817491, + 680807216, + 41816711, + 553065112, + 329281831, + 314673508, + 96553913, + 406153979, + 385817558, + 390526660, + 680536405, + 888451440, + 916840300, + 577119544, + 911266607, + 264878686, + 149611057, + 964508023, + 510563214, + 534109757, + 749434426, + 894462047, + 365707856, + 142447672, + 702021582, + 644121059, + 658628533, + 371362380, + 59450686, + 115070802, + 108378513, + 347560450, + 926817322, + 818007524, + 368503529, + 559649548, + 250939915, + 528795017, + 809171668, + 531907075, + 194678611, + 199297853, + 840267548, + 852215441, + 998894252, + 116420853, + 331398744, + 74396763, + 831374325, + 776545662, + 526629691, + 823355449, + 852987596, + 593986123, + 92767775, + 846069418, + 412471494, + 558952815, + 639740835, + 745679212, + 129667448, + 653690657, + 451524786, + 985160071, + 364011670, + 540100995, + 620740063, + 929627077, + 879445384, + 100095230, + 70101277, + 538767854, + 268264276, + 894240445, + 649029039, + 820365425, + 28508104, + 585982120, + 490651238, + 158421322, + 282650139, + 839726149, + 239019088, + 304462128, + 424508392, + 244741592, + 419244172, + 363150362, + 973050140, + 104803004, + 560526869, + 186503479, + 21350359, + 128419587, + 401231856, + 865957279, + 583517521, + 249527829, + 417777058, + 255248238, + 233657211, + 565734902, + 113420933, + 866383523, + 479927232, + 794268506, + 382414683, + 417591916, + 78724690, + 964099856, + 246666106, + 663099924, + 184187188, + 658613119, + 302437027, + 814930597, + 82629294, + 420319466, + 642496658, + 59654667, + 57461854, + 992705241, + 854176511, + 781599418, + 587777507, + 806242756, + 866251509, + 156570209, + 134587058, + 901107894, + 617280358, + 163913920, + 666394012, + 614518567, + 262078199, + 142945736, + 890121858, + 20498891, + 307872700, + 958733433, + 771855648, + 339002116, + 563610907, + 161399295, + 192568234, + 918523610, + 768273020, + 320816796, + 658388130, + 51282694, + 492894004, + 711746737, + 464952785, + 618619932, + 383091350, + 442916880, + 534701918, + 770711640, + 117731315, + 483602500, + 980922083, + 182620579, + 178612007, + 862161198, + 945781629, + 974486301, + 912985638, + 178488106, + 952054663, + 909218827, + 244769709, + 378896775, + 927144357, + 250737180, + 154170471, + 744036805, + 67565630, + 457395778, + 825397579, + 78386245, + 353226931, + 956555384, + 726207995, + 46971139, + 259439853, + 929439874, + 897528676, + 809619552, + 873892332, + 119083417, + 296130849, + 736104563, + 881734593, + 526149644, + 650624930, + 554112084, + 427255767, + 398100561, + 556241854, + 925409812, + 496427354, + 958537554, + 396657903, + 866413574, + 764082278, + 867725691, + 653702133, + 99390033, + 542809069, + 449222511, + 919644825, + 28700361, + 573354905, + 975105083, + 544622038, + 537623730, + 565328320, + 449531348, + 958220438, + 814574469, + 465853871, + 938938818, + 208373782, + 773463231, + 543669568, + 942789229, + 323691953, + 491874096, + 921510591, + 595186686, + 524484096, + 638422726, + 602345981, + 352960859, + 49523598, + 773629778, + 684660963, + 244259969, + 939665931, + 10596288, + 604356278, + 846896300, + 181620986, + 223792705, + 686624666, + 780581640, + 428025568, + 615771193, + 95321515, + 276458527, + 730462245, + 644726237, + 550410456, + 630374433, + 300245745, + 649608022, + 250186836, + 127425849, + 406462910, + 648730017, + 529710393, + 165095522, + 143563104, + 220092519, + 383153221, + 451415377, + 486972268, + 393504228, + 234133649, + 286755888, + 154666315, + 983009318, + 731914249, + 591579530, + 56266533, + 91359610, + 797844628, + 577035618, + 803517689, + 758123472, + 384617433, + 687159085, + 649971856, + 454632629, + 144243192, + 219008605, + 881995064, + 342870932, + 506021753, + 603117490, + 742378514, + 513400117, + 604803804, + 55189343, + 350804581, + 968428086, + 77156058, + 913111470, + 779977742, + 256462332, + 438059737, + 496675243, + 121055665, + 828836194, + 729235708, + 781587847, + 454102447, + 58537287, + 840422835, + 284951511, + 718042544, + 298775901, + 95932705, + 413396004, + 286580264, + 960746293, + 869957259, + 925007921, + 57397366, + 522147118, + 254214867, + 966686370, + 790620384, + 467627508, + 772515657, + 333142049, + 190017255, + 480280901, + 775097262, + 317696848, + 560382850, + 998565101, + 282008891, + 555832848, + 544342054, + 366343965, + 149795364, + 552970489, + 645016142, + 802549851, + 921936899, + 698836293, + 407033171, + 304567963, + 424187228, + 271044928, + 514758285, + 45607267, + 290859745, + 673919041, + 625115665, + 476641996, + 40532445, + 734599524, + 937209074, + 720234909, + 947753530, + 650567335, + 674231553, + 945737749, + 792417282, + 213755601, + 730397958, + 64303528, + 11976964, + 158066957, + 420047220, + 320339291, + 281883473, + 888422798, + 938331720, + 188321974, + 510680176, + 529410167, + 461247574, + 830381276, + 136474091, + 753347846, + 272743796, + 665675734, + 27451731, + 156493566, + 574479815, + 468333379, + 868676668, + 73957572, + 333113017, + 115764098, + 542752275, + 52719274, + 774051935, + 450342108, + 72289532, + 541687715, + 582942742, + 146312683, + 146389159, + 748986964, + 617814802, + 168815113, + 965192032, + 539013257, + 618299748, + 138250924, + 861194857, + 646040875, + 125676496, + 67312538, + 814871860, + 108782677, + 783361775, + 167934627, + 641872053, + 374117621, + 9692201, + 577620620, + 19412498, + 694822684, + 615297108, + 692324845, + 378501662, + 425292053, + 25631995, + 509852689, + 795950306, + 103064591, + 655913053, + 394306621, + 995325610, + 762702547, + 586650947, + 801234012, + 611174621, + 744358133, + 173051397, + 289149114, + 885686410, + 237884042, + 294119725, + 729872000, + 399604603, + 278156472, + 132696919, + 854033218, + 602336713, + 953577017, + 521666925, + 716466894, + 123046358, + 585258265, + 680333081, + 819146074, + 559702697, + 527823916, + 978906157, + 845408480, + 812346283, + 261138038, + 145312564, + 356360483, + 982599539, + 749474021, + 494284289, + 600246826, + 561518628, + 830228150, + 903911633, + 850313484, + 675300140, + 293540771, + 890247459, + 971756287, + 509054693, + 215845192, + 210696044, + 690285270, + 49891029, + 825614827, + 10165680, + 570685384, + 156782597, + 890585997, + 485640635, + 334389570, + 253777361, + 417142567, + 144784930, + 608892419, + 325991910, + 115988406, + 237672942, + 313008861, + 318749265, + 509565234, + 783258417, + 767537149, + 200819086, + 309421949, + 415987542, + 912762144, + 794529584, + 825636848, + 188359868, + 665419151, + 95180987, + 437446570, + 908272215, + 296221519, + 162998963, + 909813533, + 836757726, + 848417103, + 706564920, + 90042413, + 853133616, + 984712966, + 871213053, + 485778581, + 412011459, + 355596087, + 994015127, + 416371548, + 779702692, + 127750119, + 846498412, + 933983954, + 744423957, + 634742557, + 128642495, + 666434252, + 655314368, + 219517247, + 95759154, + 712219353, + 547611372, + 32407404, + 837400830, + 946113140, + 330236336, + 512899320, + 211788064, + 461071695, + 210684988, + 187689706, + 413803561, + 434369327, + 556492164, + 629173491, + 637889340, + 920254562, + 332887816, + 626764750, + 614725985, + 796599158, + 100054413, + 919543541, + 552164045, + 929424292, + 174611751, + 338467885, + 371190620, + 906311848, + 429899036, + 933307343, + 489862351, + 36104735, + 328850501, + 55699439, + 158404075, + 730949335, + 707322679, + 365946589, + 473891462, + 789431683, + 649679540, + 695223318, + 873679337, + 346352325, + 795518031, + 55122742, + 494728288, + 761195333, + 599241594, + 761568526, + 683213338, + 283747250, + 106947901, + 751458363, + 25602653, + 167662317, + 149888653, + 792752598, + 976344331, + 202629758, + 665406583, + 885994869, + 706421791, + 474567984, + 873332783, + 6203682, + 628801924, + 566435523, + 285649968, + 781299694, + 119333112, + 887661924, + 89377258, + 517687814, + 855544692, + 979194040, + 753208631, + 866522938, + 594214260, + 442855147, + 674322900, + 89585416, + 966144529, + 790312204, + 952102412, + 168034003, + 396972340, + 207680527, + 558026016, + 465726421, + 933355393, + 922880570, + 205703752, + 344078714, + 51622632, + 211367278, + 573955916, + 304897268, + 893964107, + 313362634, + 813377718, + 878951986, + 249291892, + 399164183, + 718198170, + 50141523, + 296429879, + 410924606, + 508482618, + 752588268, + 811178133, + 556324834, + 289689633, + 643754287, + 521710546, + 421811372, + 540138273, + 515056109, + 255108007, + 770525762, + 425670326, + 919140088, + 72057263, + 734977956, + 64054074, + 983444141, + 686173426, + 296476194, + 539802244, + 363361692, + 740329862, + 753110032, + 543825884, + 321762144, + 416538620, + 236864066, + 52142470, + 243316820, + 882569809, + 576723077, + 577883710, + 359820757, + 93433849, + 870231678, + 779360023, + 469471261, + 706339551, + 267572254, + 788080077, + 495506579, + 330030769, + 498153617, + 199201287, + 733848076, + 872621042, + 943120463, + 610028234, + 93036599, + 6797612, + 823919509, + 879226979, + 314157475, + 96176735, + 322471631, + 571978152, + 279975597, + 281392319, + 295457155, + 251364909, + 567929723, + 815621761, + 771204360, + 766731491, + 249113918, + 934042574, + 708159224, + 986698375, + 130225562, + 655421411, + 632318562, + 625638698, + 974632788, + 307493896, + 188708864, + 156470409, + 965964337, + 552964204, + 141569499, + 239983567, + 219971399, + 303685561, + 848629731, + 476507339, + 639904129, + 571209174, + 683032828, + 915468167, + 551967720, + 23483150, + 546611530, + 686284668, + 443380294, + 940344369, + 323162181, + 70674107, + 189964320, + 427444162, + 470630046, + 154778052, + 598678055, + 933583516, + 636916878, + 9625663, + 589434365, + 106545596, + 265755641, + 472138741, + 241024230, + 783340238, + 431386065, + 329464736, + 970101503, + 25546605, + 26436634, + 617640975, + 996870859, + 978519694, + 838892565, + 987970896, + 373161572, + 43883187, + 673070697, + 646330886, + 647683569, + 42791612, + 496976744, + 518902287, + 478766257, + 51141251, + 711407706, + 364519973, + 689310314, + 917773244, + 434700541, + 11491299, + 297023522, + 310831096, + 398824187, + 880659520, + 514399664, + 76947395, + 989044418, + 223272132, + 988675194, + 903512135, + 30774038, + 826862013, + 165562541, + 245735019, + 568951976, + 7728379, + 653987381, + 794504516, + 406661924, + 155162155, + 66942263, + 594826449, + 57290123, + 767818171, + 372842842, + 444733811, + 143692472, + 952191129, + 596126188, + 717370849, + 657985705, + 145167965, + 21538054, + 608298968, + 118629471, + 633761764, + 19509920, + 421192205, + 689363035, + 642640597, + 167581328, + 682377929, + 267100737, + 219495261, + 591672047, + 236304164, + 977771340, + 719262950, + 543883912, + 702472669, + 718911028, + 408337583, + 895820369, + 324789553, + 302488678, + 542524353, + 550564952, + 545591336, + 383783500, + 241165597, + 517513782, + 524779774, + 342429826, + 275242228, + 758559939, + 316472874, + 96219333, + 111322382, + 739399534, + 114283473, + 137166015, + 377193869, + 728543116, + 427038991, + 541264707, + 582131381, + 98722179, + 887524273, + 987626493, + 165063500, + 985073798, + 699893197, + 917881011, + 55576774, + 47418513, + 934711848, + 250596533, + 604940034, + 596354087, + 889495092, + 400883918, + 309547740, + 105601457, + 475073304, + 254132493, + 210431228, + 202057939, + 437472417, + 568771219, + 427105269, + 720407778, + 373101830, + 331471998, + 51838367, + 863688588, + 227942747, + 69455917, + 377928118, + 699598124, + 744195419, + 784967560, + 335260124, + 543502417, + 215209827, + 617115046, + 29757783, + 93311729, + 978638352, + 356149727, + 574961103, + 335870881, + 141814507, + 34002254, + 47736348, + 983377182, + 891321787, + 333354979, + 801327675, + 818563921, + 800555958, + 862736316, + 140195727, + 734152751, + 12472764, + 775869066, + 18638373, + 344783593, + 817587252, + 28975286, + 196839409, + 548184, + 305852302, + 657547598, + 262798795, + 413032665, + 955455111, + 913339266, + 844566799, + 290939624, + 893238651, + 816014378, + 365682678, + 529049175, + 584872951, + 950160367, + 721031153, + 540409332, + 359207958, + 239886424, + 807211014, + 227957170, + 574891764, + 473030679, + 667505279, + 905482016, + 371897740, + 759047223, + 227532201, + 315683370, + 855989563, + 91808598, + 443881816, + 911370144, + 349331294, + 613428579, + 236418677, + 615720526, + 125773613, + 633255466, + 212323199, + 78585983, + 226025437, + 982860143, + 38017436, + 626869660, + 393599150, + 730151090, + 490881659, + 58932972, + 485217460, + 91124667, + 134381317, + 700143205, + 956660881, + 238510547, + 603802290, + 457200876, + 49619548, + 789859149, + 281147300, + 621541272, + 963005123, + 213189050, + 92187652, + 747627059, + 469658790, + 610197414, + 197453591, + 949018110, + 220693762, + 704638572, + 803483136, + 62562887, + 763249074, + 160535107, + 899001616, + 815257496, + 357421509, + 377327916, + 180850543, + 798477751, + 24835817, + 113828251, + 793468368, + 804759796, + 858524861, + 222973968, + 73154680, + 872794728, + 598656845, + 435391072, + 933331273, + 99974138, + 564875103, + 759098863, + 212938849, + 568704071, + 461091735, + 581553072, + 839331250, + 879009297, + 506607817, + 655607424, + 118941037, + 177733202, + 743700168, + 790958645, + 248398201, + 362961356, + 444575185, + 812262363, + 507728828, + 702244949, + 764449969, + 327164259, + 749039199, + 767293570, + 894969893, + 240704508, + 979931472, + 351683951, + 256390840, + 370740728, + 838643541, + 456996131, + 632856509, + 363843449, + 2216755, + 696792482, + 536025976, + 586564508, + 888709311, + 999605820, + 528579306, + 769625726, + 667487646, + 681167266, + 720674706, + 599557549, + 253856267, + 411553754, + 445501027, + 357118892, + 28472119, + 875523387, + 334003777, + 534833324, + 217471257, + 834950312, + 670908483, + 337508362, + 642306618, + 575657894, + 636447964, + 746614902, + 326214147, + 937651393, + 205600090, + 501649259, + 264208458, + 465982092, + 693919450, + 512784603, + 573577874, + 156264536, + 275126165, + 8275935, + 462520164, + 945226108, + 686461680, + 325651129, + 472026850, + 472384348, + 7805562, + 681110120, + 820177657, + 272556532, + 842105703, + 433736551, + 581936143, + 40740889, + 111099756, + 70835949, + 222860785, + 74433951, + 423094029, + 79671973, + 230400767, + 892234017, + 273893231, + 830738359, + 494157140, + 721231605, + 500174465, + 110797458, + 723298910, + 190892154, + 756641766, + 694554004, + 540977295, + 376513842, + 35183184, + 26220324, + 355044804, + 580228980, + 431768358, + 488319586, + 768996392, + 668080533, + 989233701, + 278925851, + 259897757, + 975362650, + 352699276, + 223707548, + 265723509, + 94493760, + 878013939, + 517427197, + 501173554, + 76772771, + 615173959, + 862407790, + 941947685, + 786188948, + 787538055, + 526082725, + 405038957, + 24177842, + 396452139, + 89368400, + 571530493, + 666527234, + 341482633, + 112322852, + 916030106, + 708565932, + 963119891, + 874245104, + 630708149, + 940032387, + 329283066, + 249566184, + 118451624, + 984914692, + 727148914, + 422242299, + 119582340, + 757183335, + 926148392, + 451722499, + 274150693, + 336713834, + 722106735, + 338784209, + 915110058, + 302394311, + 526733133, + 969472177, + 732811116, + 373488996, + 431928003, + 765226594, + 724366017, + 560255511, + 516874130, + 882920409, + 443028183, + 461282979, + 698800800, + 917285643, + 707439597, + 268302462, + 737024400, + 71825918, + 158225008, + 133529066, + 478003726, + 478094666, + 730284609, + 956086494, + 159933664, + 602170391, + 989323918, + 965104801, + 35670433, + 738269230, + 594362728, + 132739752, + 715397181, + 148548444, + 411555774, + 460253617, + 196380562, + 55993539, + 521458552, + 113840630, + 536441264, + 358831401, + 824691444, + 617873317, + 263041019, + 491031851, + 85035413, + 296321264, + 703273562, + 547025981, + 323038547, + 388915668, + 322013892, + 953479618, + 573439790, + 335705190, + 635572740, + 66192784, + 799238090, + 622503245, + 487836844, + 558379526, + 20780752, + 193391989, + 237876989, + 745865795, + 175494231, + 37555059, + 902284383, + 413907760, + 65063961, + 484257006, + 358463236, + 55737518, + 771753689, + 177012311, + 159534726, + 775001072, + 276884918, + 79065073, + 146958408, + 726361758, + 49234455, + 371574056, + 553358761, + 638187517, + 225215064, + 488875979, + 721941009, + 592344339, + 916530741, + 977711490, + 836159214, + 57970723, + 634946090, + 717105688, + 338665225, + 530782719, + 217403247, + 93254487, + 278774973, + 36049412, + 45679997, + 110102100, + 354611918, + 365760517, + 960159472, + 548650744, + 230144312, + 597541080, + 66790925, + 616045221, + 656136972, + 594075633, + 635477741, + 464282657, + 78356072, + 402673171, + 363573539, + 599303219, + 782452454, + 417651035, + 960051638, + 346987383, + 399625267, + 310362782, + 599661617, + 38351027, + 922023422, + 246507964, + 134312677, + 257147904, + 770631258, + 174000068, + 861477341, + 569564868, + 671396827, + 496784542, + 988627087, + 711065168, + 438853866, + 871960292, + 547935579, + 670358884, + 17251125, + 56764830, + 828324579, + 695089673, + 251654631, + 605213800, + 47430822, + 999019087, + 632353996, + 944757325, + 428164488, + 632733322, + 329815669, + 209536347, + 168084310, + 264871800, + 959042984, + 295319566, + 690109179, + 168695387, + 479623191, + 409922100, + 10250415, + 753899292, + 927464901, + 969460835, + 633489737, + 11215839, + 370184481, + 943846160, + 16325015, + 927721369, + 152889009, + 595697618, + 42546141, + 56761125, + 348515622, + 911185129, + 160216482, + 305212516, + 924119457, + 281989837, + 160187903, + 606172922, + 296116151, + 796195972, + 206227094, + 676233205, + 312384875, + 55961684, + 315668903, + 17850090, + 638331588, + 407705514, + 143181071, + 359468388, + 589428767, + 562825544, + 890881884, + 93109190, + 52130843, + 788496190, + 800543848, + 496509777, + 57956870, + 141776239, + 382149247, + 614226107, + 858804715, + 658907226, + 785462462, + 548283306, + 868232142, + 605287734, + 858822345, + 573456097, + 911312540, + 126468775, + 811503140, + 24308769, + 935392938, + 33322147, + 446395840, + 694797764, + 382671669, + 394126008, + 271110076, + 979918011, + 599901870, + 349272727, + 722316178, + 461401409, + 561291837, + 343789407, + 821175965, + 868782660, + 292018996, + 18770777, + 493579927, + 305361764, + 323413259, + 346363929, + 601068274, + 547311140, + 771756668, + 614885908, + 940214310, + 530250210, + 912920480, + 993934951, + 6265973, + 625114577, + 921422450, + 838952948, + 445870429, + 134244481, + 128730168, + 756722095, + 309108109, + 618419673, + 660569067, + 988769160, + 996375062, + 123541133, + 768759054, + 833369431, + 37727092, + 77449146, + 115353629, + 809189981, + 791044226, + 856354807, + 307250188, + 549545172, + 882815954, + 422739977, + 217304884, + 611834233, + 637326925, + 848223807, + 616137335, + 929940458, + 589308292, + 936230437, + 844793931, + 579390514, + 677635113, + 762245026, + 73574120, + 848959137, + 103665135, + 488931541, + 246346405, + 925805049, + 405954587, + 46282007, + 664371372, + 192759699, + 465803988, + 277638479, + 585451385, + 525374319, + 538204347, + 923719258, + 158028742, + 536932082, + 659548293, + 707474193, + 782412812, + 823260897, + 527882541, + 385184278, + 847380141, + 399561244, + 83076117, + 725285638, + 678713145, + 436271658, + 873482751, + 909628774, + 875275874, + 421418802, + 856818560, + 122238451, + 57915934, + 527277572, + 251054110, + 631939456, + 235236476, + 320186036, + 524464085, + 74439796, + 522209249, + 815757739, + 381951287, + 600062579, + 749408051, + 841315842, + 936107146, + 365828247, + 491240285, + 415608833, + 426395217, + 18212196, + 785445792, + 464838673, + 537923817, + 576191992, + 84067833, + 903729163, + 443903021, + 346668831, + 176742942, + 478237905, + 703853709, + 235772549, + 845019388, + 374522687, + 555509340, + 375096457, + 95493065, + 831289088, + 291566018, + 733191877, + 861677507, + 65327936, + 822734920, + 309909449, + 568004012, + 764740318, + 557704095, + 289566051, + 124555032, + 5276818, + 334011482, + 33275389, + 328660940, + 951788708, + 219605694, + 674990875, + 79919695, + 529947382, + 492848129, + 405049906, + 916600465, + 81917405, + 699884596, + 423939227, + 192712924, + 834851533, + 955536764, + 834248121, + 658093102, + 522228354, + 628531249, + 63948908, + 910208642, + 925652388, + 608274854, + 287684622, + 354724678, + 765008580, + 563063053, + 113382061, + 397186080, + 427560811, + 607994863, + 910811498, + 831440682, + 889761968, + 179718466, + 707816594, + 829511056, + 546589263, + 167687745, + 138923082, + 54840422, + 650520112, + 491094799, + 467384055, + 536679183, + 354110483, + 216551143, + 33891536, + 766890654, + 436731266, + 402819561, + 514760700, + 6109064, + 30449093, + 816893322, + 495290878, + 51388847, + 36663290, + 31759515, + 274054543, + 419194230, + 470091783, + 49330406, + 693541537, + 845965013, + 825290173, + 180640972, + 737245021, + 443737210, + 154951533, + 308307527, + 165588734, + 845684564, + 573884777, + 486243976, + 498837382, + 19695713, + 427428452, + 898211281, + 585453770, + 386755330, + 848528823, + 593882392, + 703146453, + 484858322, + 311317488, + 472144423, + 194838824, + 279228642, + 136753107, + 68167459, + 869213530, + 217904147, + 566051958, + 47408775, + 292123772, + 89664772, + 985043050, + 363604069, + 645790951, + 287044443, + 691189021, + 463218398, + 679338077, + 583321243, + 709726853, + 231159648, + 829564715, + 951939330, + 577870127, + 829450703, + 143445151, + 454225399, + 48709642, + 785803277, + 986252388, + 77702624, + 603236635, + 671718115, + 130442965, + 99758170, + 858719979, + 517160968, + 900099394, + 878161626, + 826437855, + 998857845, + 194643822, + 505784954, + 20046395, + 511566279, + 231709344, + 811382068, + 642411816, + 832990484, + 99659142, + 506860531, + 977017318, + 948635753, + 380586462, + 707351879, + 299956703, + 736090327, + 758301100, + 600503646, + 268707211, + 626966846, + 167772420, + 203438442, + 566464207, + 124615836, + 423170678, + 682864572, + 275371068, + 22618705, + 703273059, + 417955042, + 70032202, + 118836433, + 208538317, + 812331708, + 88353179, + 781525001, + 439052757, + 283407064, + 397982144, + 334027532, + 629628673, + 270181054, + 509930463, + 177699464, + 579301744, + 434087723, + 247272936, + 701262604, + 60397663, + 214730500, + 769062713, + 932491874, + 612781788, + 841306808, + 928659905, + 875347768, + 699394982, + 292069721, + 91596423, + 346262425, + 884653204, + 973325796, + 822978292, + 663106873, + 164468714, + 942088715, + 550759932, + 98129688, + 169108238, + 430909857, + 853785925, + 512125390, + 931203052, + 192337154, + 977976736, + 785036092, + 219087966, + 100157614, + 908880940, + 409722092, + 771688257, + 218159873, + 8418683, + 697539260, + 611610489, + 78506401, + 640193905, + 814297941, + 436410104, + 276249243, + 364452453, + 230775087, + 136349039, + 957237297, + 726885665, + 526570856, + 752139328, + 80873387, + 135672832, + 301961042, + 34087503, + 16821881, + 593909355, + 889233415, + 916088279, + 623881534, + 710995755, + 489308471, + 120937170, + 437334406, + 931458649, + 227430100, + 709098939, + 183488405, + 72792385, + 502203471, + 322436677, + 700114741, + 442690953, + 854059166, + 403913103, + 573386399, + 322532435, + 638105124, + 866323134, + 931037233, + 700681418, + 386258889, + 452867364, + 376236469, + 739418858, + 549414863, + 29858887, + 249766817, + 581214415, + 721501897, + 122293768, + 121228552, + 292908799, + 607448196, + 764305071, + 825803539, + 759907594, + 315216832, + 525328984, + 79611459, + 783564636, + 666848587, + 718736660, + 273129423, + 311663696, + 505493731, + 545441944, + 934104720, + 912920876, + 643518317, + 102552504, + 832441239, + 997897799, + 47642648, + 506343709, + 217794004, + 676144589, + 302403049, + 306800389, + 265919820, + 374863286, + 273220066, + 196692585, + 568288050, + 112454784, + 704026112, + 820737063, + 823760411, + 807087713, + 327901149, + 486377352, + 652795015, + 853411512, + 182783965, + 909507526, + 180711925, + 762077774, + 303974940, + 203323642, + 775422546, + 507225555, + 662136865, + 6738917, + 154936523, + 504108699, + 20958011, + 905729249, + 82188064, + 529635468, + 720768542, + 182996754, + 793663921, + 428965408, + 523106349, + 648545451, + 930881627, + 39924523, + 40499957, + 554110921, + 626747808, + 567688440, + 312645270, + 44584882, + 620480486, + 502327902, + 130880488, + 620694174, + 965893733, + 917464563, + 740076884, + 258254956, + 591754722, + 473387823, + 411982919, + 633737428, + 956991853, + 342183718, + 900892530, + 962770486, + 237471627, + 417388470, + 378507098, + 570508686, + 417141838, + 378666202, + 44789741, + 326855089, + 113760620, + 119455044, + 10491243, + 145111799, + 114690467, + 306931757, + 108251931, + 252300787, + 352875816, + 968155501, + 801715414, + 724573086, + 506881303, + 705016313, + 618760624, + 2416789, + 15396409, + 566454503, + 436913796, + 818599674, + 30901323, + 925320075, + 678065624, + 973970803, + 739198382, + 675031675, + 441162590, + 719588571, + 563453196, + 609395080, + 164279981, + 826553713, + 524322494, + 967791482, + 163511391, + 155213779, + 475023217, + 26329551, + 543149877, + 834875704, + 606640152, + 79701247, + 678451866, + 595437835, + 612014995, + 959194639, + 884143074, + 523234555, + 638385722, + 665968246, + 131246719, + 283321239, + 213719862, + 247678745, + 318522884, + 14856084, + 932804288, + 269631398, + 759683945, + 61153403, + 67020659, + 110591671, + 222778250, + 666831535, + 910695203, + 722881777, + 675569715, + 137781564, + 505353374, + 557187752, + 512907190, + 294716949, + 250728925, + 989955148, + 325185107, + 794853549, + 584055546, + 881890956, + 968793289, + 550051138, + 756866792, + 273078374, + 891488987, + 406091026, + 748471644, + 589282527, + 191654326, + 159956254, + 564045290, + 823284879, + 647862112, + 660848646, + 509217824, + 494192646, + 364819699, + 916608562, + 296333716, + 748999425, + 653007519, + 993327289, + 848107309, + 564628873, + 513000711, + 479927923, + 364729177, + 22769456, + 642543168, + 873594365, + 733867788, + 503719482, + 92737775, + 439027937, + 513445878, + 682265246, + 624157218, + 192278901, + 471633060, + 742825418, + 332979678, + 982231659, + 659078827, + 215832323, + 568743257, + 851158261, + 999354081, + 278318786, + 457413033, + 837061118, + 509482394, + 767761702, + 731554703, + 789576486, + 915375469, + 692022110, + 690710623, + 933149505, + 304407096, + 689557369, + 237992824, + 442354931, + 743724327, + 54676738, + 102577570, + 970589171, + 123390121, + 531616117, + 439524589, + 806755578, + 559786799, + 661387224, + 353272419, + 863567878, + 127798719, + 404097036, + 986087101, + 280768106, + 656853789, + 793720351, + 583201899, + 875520832, + 51498595, + 959286395, + 812663540, + 132863818, + 791330060, + 205025687, + 602518044, + 189529466, + 977969980, + 94459151, + 668264168, + 637356217, + 67706140, + 293582881, + 413924389, + 191252778, + 925806627, + 763512590, + 452430745, + 238319395, + 328906275, + 844157094, + 743071706, + 217647065, + 996527116, + 229661635, + 953914586, + 463040888, + 310439782, + 34433326, + 858813859, + 64121378, + 317980396, + 627508415, + 796234098, + 20323570, + 623177083, + 408423739, + 742627246, + 145536930, + 100285974, + 395063048, + 783814233, + 59467402, + 19987039, + 959073257, + 472363783, + 739392442, + 503988848, + 163779530, + 451435659, + 837897409, + 103197842, + 67765461, + 60837715, + 342876810, + 336007185, + 777874246, + 706668982, + 479055520, + 447882505, + 8809307, + 212311978, + 10790118, + 970149578, + 498546578, + 245621590, + 821518259, + 805970582, + 263706187, + 803627053, + 968150752, + 385635497, + 362458611, + 43131100, + 908553154, + 867851531, + 884619423, + 591892310, + 713587488, + 988946601, + 127263447, + 539094416, + 599276782, + 659144169, + 702979611, + 346829331, + 441795657, + 792319818, + 171961094, + 236680694, + 525793883, + 285361908, + 833667169, + 34654606, + 612526245, + 218289644, + 932342984, + 99952837, + 945238473, + 654574515, + 329139376, + 682960113, + 520829676, + 955222381, + 931424968, + 157983956, + 162273228, + 717997769, + 783444391, + 999855926, + 893547530, + 437453422, + 499281854, + 732080113, + 986995264, + 167293382, + 239047252, + 665763039, + 435221465, + 277245023, + 312767110, + 766018110, + 587157035, + 840505126, + 98280197, + 229095385, + 675163900, + 7386852, + 87532752, + 635125709, + 554474547, + 525672296, + 917970588, + 11443414, + 638444797, + 598624820, + 668969177, + 23266974, + 973495168, + 628917669, + 741409032, + 51598815, + 604430686, + 367201030, + 269361533, + 566739145, + 665547669, + 115625420, + 631881969, + 509486220, + 774728517, + 321175506, + 136168316, + 192930065, + 541352615, + 511931163, + 438682048, + 748685529, + 313799243, + 753799194, + 955659598, + 974522431, + 88081834, + 476726915, + 178816396, + 132115938, + 420611673, + 207959146, + 578338244, + 576637748, + 250817311, + 864284931, + 655161773, + 211147056, + 35843851, + 490607515, + 753801632, + 64262206, + 102684114, + 826757904, + 283276773, + 341417563, + 681424904, + 381701499, + 938313309, + 36587205, + 109445044, + 778425006, + 750868328, + 506026555, + 910628915, + 224982426, + 653669191, + 9179817, + 581634149, + 571262118, + 303300894, + 638227844, + 270317184, + 269646356, + 679171244, + 197825918, + 861892700, + 625977139, + 6964641, + 778938995, + 50794234, + 364439226, + 175506745, + 396161332, + 764831051, + 937805853, + 668596314, + 620270267, + 65761163, + 703906482, + 34366292, + 122757229, + 416082915, + 479216585, + 832702982, + 509249038, + 966179939, + 590719850, + 165470549, + 250272954, + 767655757, + 282843884, + 862295668, + 438423906, + 240909259, + 730518851, + 490142749, + 326324831, + 394592799, + 964597993, + 864465774, + 129492586, + 872778574, + 179689726, + 770941329, + 608503950, + 348866529, + 837774257, + 194919060, + 9437885, + 721964126, + 490239775, + 469135529, + 130668593, + 904552239, + 840882231, + 998143929, + 88085817, + 181961158, + 836399841, + 571429949, + 429411492, + 604995118, + 311484928, + 178749476, + 12892435, + 514750855, + 981516258, + 949803911, + 975059858, + 949915112, + 737652963, + 169425691, + 271053765, + 276104558, + 164624188, + 591889328, + 320910312, + 273825882, + 158088149, + 279159392, + 830368972, + 418551202, + 373025015, + 189031234, + 958790222, + 758915474, + 63850957, + 454008109, + 504066675, + 508679694, + 392879675, + 864080206, + 987878667, + 22867196, + 50226211, + 278868928, + 990415267, + 405471239, + 335731803, + 853778391, + 576749734, + 979725648, + 879936160, + 658209802, + 640390398, + 410208882, + 85554768, + 421481073, + 872844757, + 909136992, + 212956724, + 825346854, + 905350239, + 285971806, + 976931990, + 663337449, + 203519690, + 961769174, + 796649615, + 158806296, + 742800165, + 827694180, + 26559346, + 958855042, + 363828870, + 463724989, + 278310912, + 274910274, + 843935868, + 805371550, + 186561279, + 185728557, + 219083659, + 817920915, + 925689206, + 212941045, + 432598650, + 600652067, + 842855656, + 22473782, + 834709449, + 578422290, + 137217753, + 452347764, + 554432756, + 119419428, + 152548376, + 593347551, + 493933735, + 502778249, + 791332232, + 840776510, + 679425959, + 821962652, + 731241492, + 22619431, + 695032010, + 71989174, + 306108483, + 861121367, + 217351283, + 251272732, + 840929824, + 279563215, + 485414665, + 521027435, + 749439297, + 22715054, + 132146450, + 535376111, + 172526378, + 184845810, + 515608665, + 379409315, + 941029934, + 852139951, + 44584496, + 946225084, + 878944783, + 334324371, + 590167450, + 654412148, + 945280025, + 771403200, + 833577166, + 67885549, + 162660784, + 328930657, + 125003699, + 612776268, + 684599673, + 367425318, + 571552556, + 642247780, + 811829084, + 55221258, + 687194453, + 990087760, + 270955382, + 149604069, + 200123651, + 879935964, + 572201045, + 748222880, + 383118578, + 517393649, + 392945652, + 778813400, + 913953875, + 780615377, + 305862597, + 810668457, + 822288939, + 728877423, + 457031254, + 248116769, + 78798857, + 894724986, + 341068877, + 980585188, + 776129605, + 767281333, + 144023823, + 69504337, + 845035941, + 492657552, + 73207814, + 505706156, + 243243239, + 334636675, + 954320202, + 567389390, + 482522287, + 930180865, + 825854078, + 829201295, + 422561313, + 826496409, + 28636623, + 368731985, + 314643282, + 875965227, + 111470736, + 761904779, + 274763716, + 130221145, + 784367923, + 538596337, + 250434430, + 158870183, + 303084754, + 143392898, + 80916499, + 833083285, + 166823857, + 920070660, + 954750241, + 831258239, + 469651847, + 178088176, + 809551418, + 319300430, + 682269008, + 909800061, + 800555957, + 630565504, + 639672756, + 727330158, + 709740431, + 438176999, + 843933686, + 455695437, + 859756389, + 5796298, + 349210376, + 894660391, + 741548284, + 458030184, + 536597890, + 750439623, + 255978424, + 171882553, + 981843785, + 349136029, + 207552884, + 428463842, + 551810216, + 807699105, + 30415878, + 484221727, + 595039453, + 263773983, + 581152495, + 832525073, + 672649455, + 485934588, + 775450896, + 290393767, + 964749709, + 179105761, + 769713492, + 653011588, + 114753059, + 57318721, + 68659613, + 135190263, + 913265154, + 817631016, + 871398952, + 807934835, + 130827051, + 284319126, + 455041596, + 440228254, + 882207953, + 472199579, + 175205383, + 431268081, + 859384541, + 726407004, + 492500884, + 605654621, + 459876512, + 844100363, + 905487650, + 366438357, + 506471258, + 149287669, + 905294375, + 411501801, + 450225560, + 479709458, + 620428096, + 836275816, + 511419759, + 259301602, + 383322415, + 432341202, + 215882916, + 397770932, + 850590997, + 650275278, + 756556649, + 300310761, + 764215704, + 226846973, + 95173446, + 283717682, + 648173109, + 690668578, + 917441398, + 17575413, + 474688732, + 298029785, + 86320917, + 369502826, + 542831356, + 545743885, + 841289350, + 783511867, + 527327846, + 156174296, + 486483286, + 36026679, + 274041628, + 968031292, + 583424107, + 679163547, + 141441347, + 468092452, + 383521958, + 610815364, + 501810038, + 557610884, + 57226197, + 690978741, + 991532447, + 464239726, + 233696478, + 176080371, + 872428102, + 958904406, + 18017326, + 592098343, + 822259426, + 99856976, + 755434751, + 308345578, + 479461278, + 511024191, + 630953252, + 49894651, + 811148529, + 493733572, + 398483170, + 753137451, + 393301757, + 849963772, + 52730059, + 690140356, + 195924384, + 187202281, + 784754781, + 804322231, + 754115370, + 260067489, + 334584715, + 553382200, + 443450573, + 684006918, + 425798640, + 387581570, + 483267611, + 171882706, + 731989510, + 856138920, + 587969594, + 882782638, + 236515097, + 966105258, + 600478312, + 517969724, + 414225879, + 734737205, + 539027569, + 822745155, + 219128590, + 190980985, + 198371222, + 984987356, + 207827629, + 20992102, + 376984638, + 633721511, + 693597091, + 938791060, + 895847790, + 395174103, + 931616637, + 398331033, + 965283552, + 977406030, + 829551037, + 4801309, + 496969418, + 151679923, + 697269379, + 521883181, + 8748408, + 662993020, + 441545392, + 708581851, + 49820919, + 770905379, + 366979386, + 613130952, + 363933976, + 935224248, + 80417773, + 393026022, + 16261872, + 749740606, + 515159234, + 242529245, + 233892468, + 50482462, + 122657218, + 448795102, + 723477682, + 140546591, + 947617519, + 233651019, + 438655273, + 276397493, + 153636131, + 195520379, + 940748516, + 113038492, + 222097702, + 382345631, + 35037906, + 410895532, + 473989488, + 850830014, + 129126315, + 707855026, + 34619546, + 759878935, + 820898811, + 549323815, + 259699173, + 812058432, + 650250511, + 690052964, + 701272419, + 376111281, + 55541672, + 741953212, + 483413668, + 633077554, + 972648667, + 865182641, + 586515671, + 936083819, + 404205594, + 970427750, + 620048749, + 208439677, + 528291855, + 314645759, + 498195048, + 971044479, + 377160636, + 546143046, + 98395227, + 542103117, + 493094396, + 514047993, + 428127320, + 443932175, + 564281082, + 674704577, + 971169262, + 907793536, + 399206981, + 704775057, + 585054038, + 484856348, + 612956160, + 816132067, + 819747858, + 592919646, + 5989927, + 687420466, + 462707753, + 300985703, + 806360371, + 227898719, + 873183093, + 434168614, + 811563798, + 365865146, + 318193608, + 513842346, + 452483811, + 368956459, + 347347378, + 633595364, + 6228494, + 470759808, + 983908225, + 125321019, + 741814485, + 579434226, + 208901377, + 127253749, + 817583353, + 878098151, + 34823705, + 939879626, + 137558661, + 997758135, + 672937874, + 350210433, + 156713066, + 500651344, + 89712970, + 272598786, + 112722209, + 682176197, + 481002139, + 124156775, + 954019919, + 628654348, + 636534296, + 657702623, + 425090392, + 590647014, + 865436448, + 854422117, + 279055881, + 896413338, + 303678613, + 606872378, + 575811142, + 14097120, + 42389412, + 27195835, + 911809632, + 178760679, + 388070636, + 294349849, + 333483026, + 467201658, + 75452699, + 633779876, + 477296949, + 841093876, + 705982463, + 951864769, + 294045877, + 128580108, + 968141302, + 668126894, + 465398028, + 481547690, + 730140753, + 795022015, + 9366052, + 617001291, + 161315906, + 761532055, + 198073595, + 770611033, + 761962841, + 245670878, + 960405086, + 34891917, + 904729273, + 323990374, + 390600661, + 348930325, + 76891711, + 742303021, + 760813398, + 684649067, + 980679238, + 576483132, + 967510002, + 672872695, + 899094652, + 633653806, + 808412089, + 325357936, + 191770420, + 30363877, + 965473326, + 750046900, + 957060149, + 699928340, + 656961759, + 206884064, + 654446689, + 251858829, + 54794110, + 61748494, + 483806899, + 86028853, + 3654578, + 133969311, + 433688323, + 175647327, + 520129763, + 43729573, + 982455008, + 150277621, + 183259202, + 359204421, + 920415229, + 422617454, + 252714444, + 922450343, + 633399289, + 618142280, + 82897951, + 216752840, + 913327223, + 644649938, + 104264293, + 747394016, + 884144496, + 942862075, + 696323425, + 567615652, + 397812061, + 909616852, + 730520162, + 142923116, + 361162411, + 261861688, + 56604923, + 472035997, + 936016743, + 916841452, + 565385271, + 185409964, + 396383179, + 223487609, + 239261136, + 369586962, + 934072282, + 587615126, + 329627509, + 875212266, + 235743164, + 611131605, + 477271146, + 569169619, + 231884176, + 606129556, + 134695630, + 41570614, + 359774355, + 427240724, + 722841406, + 664995741, + 785739428, + 97804284, + 575353740, + 677956140, + 984983602, + 780542193, + 762736347, + 590956742, + 580031933, + 815082539, + 370262625, + 873156641, + 777787875, + 345783474, + 507090547, + 470094980, + 203166988, + 373961021, + 566585441, + 168828915, + 107495946, + 108075973, + 816739055, + 467994824, + 438217653, + 524648042, + 237699748, + 971252258, + 629811137, + 478352669, + 679032509, + 160448957, + 810778900, + 860949063, + 41460396, + 624452737, + 291360350, + 538371758, + 145314417, + 340783257, + 639853270, + 895596034, + 80203845, + 408760529, + 867609298, + 856309936, + 765902062, + 607247061, + 695804953, + 154083131, + 256682593, + 122967500, + 34357695, + 105710732, + 278211725, + 511598862, + 689716131, + 805316414, + 526239088, + 590120308, + 497162397, + 849835778, + 713939659, + 27706041, + 305521914, + 26854282, + 698123545, + 794683886, + 760497071, + 489774239, + 53651399, + 632998730, + 631135611, + 184719597, + 188733914, + 943863901, + 358815477, + 390081470, + 702972398, + 659274012, + 113317461, + 538492171, + 284936815, + 891754318, + 779397322, + 857726401, + 56830393, + 819326574, + 355010624, + 575754637, + 284235991, + 319570823, + 573079211, + 925311383, + 355422574, + 783090816, + 466518536, + 449181912, + 918722066, + 800244365, + 339532352, + 210364560, + 141037114, + 529501605, + 216631180, + 189442294, + 419639916, + 435002054, + 792537938, + 212043895, + 488532420, + 865053162, + 906716420, + 604137240, + 175238897, + 884658828, + 961582792, + 174714252, + 432326132, + 966571022, + 935935429, + 33828041, + 852041882, + 291608219, + 774602687, + 104072000, + 947708990, + 828447272, + 350100855, + 614107629, + 905097788, + 228043542, + 833693784, + 353979751, + 766338135, + 967883999, + 78676913, + 621883883, + 216122238, + 555852941, + 699967727, + 222023318, + 776477859, + 263606807, + 964911173, + 796277376, + 390322286, + 333874821, + 418977676, + 483662934, + 821437853, + 695553193, + 942989832, + 941767318, + 641716502, + 280054820, + 597471705, + 931030912, + 552152359, + 7357720, + 637331234, + 523159970, + 333440956, + 982067427, + 194573339, + 906205346, + 513054944, + 737467506, + 817797046, + 446009807, + 863240725, + 914878502, + 723839775, + 229084213, + 153017569, + 210700057, + 33715509, + 115546036, + 25932320, + 636721632, + 419311347, + 860255925, + 584555773, + 994507746, + 885066880, + 318734714, + 684931715, + 372742357, + 832045796, + 802107415, + 268872606, + 859744178, + 66300388, + 555071293, + 219119569, + 309556522, + 657431594, + 658631874, + 929176600, + 970860260, + 398012950, + 86346441, + 262872419, + 283925630, + 270983892, + 449749279, + 620220112, + 729890999, + 291234825, + 518709535, + 931323992, + 106056154, + 761945077, + 395270459, + 445890684, + 6871582, + 434796824, + 81635923, + 223940424, + 589611770, + 60594576, + 335554954, + 61272695, + 148457394, + 309559207, + 949759811, + 213823302, + 851297001, + 924337403, + 365970618, + 386436212, + 855151715, + 706867443, + 396884616, + 164738468, + 539187743, + 326010419, + 618438310, + 175474676, + 262603254, + 833676476, + 696091586, + 309683748, + 471819350, + 104085709, + 673510858, + 298154793, + 545051353, + 462245510, + 498384487, + 175993990, + 442883331, + 825913798, + 281836603, + 40901168, + 196538300, + 14559273, + 683253860, + 938317469, + 369653247, + 840213449, + 994312428, + 295805110, + 344010286, + 778222995, + 747459484, + 765163099, + 398251475, + 2764359, + 906231392, + 841374732, + 902466732, + 512331108, + 594270891, + 317593010, + 722477700, + 490177837, + 226231433, + 498975971, + 492152800, + 122851047, + 255127276, + 729926868, + 311904649, + 742362298, + 479088109, + 889329059, + 369651773, + 216677683, + 852744732, + 550654743, + 897909975, + 50056430, + 976578042, + 898306519, + 732550073, + 589531444, + 972509850, + 326285011, + 555771132, + 810209296, + 447473278, + 285792660, + 930666322, + 782691714, + 115388437, + 881825021, + 923263919, + 137217030, + 81055805, + 552641347, + 917408609, + 386148707, + 929471501, + 321607599, + 84029617, + 161605610, + 87752417, + 606038575, + 611323561, + 480685096, + 832269135, + 723109667, + 578628205, + 133988708, + 263791081, + 364300926, + 281974026, + 268551029, + 972204889, + 820291250, + 583981374, + 622444915, + 959697889, + 12643166, + 737857547, + 44764333, + 378503240, + 502986041, + 784702412, + 285816657, + 384231906, + 722320791, + 411774531, + 722353803, + 657159196, + 117070836, + 944546899, + 717425608, + 549472494, + 960518429, + 14898641, + 679327424, + 265638529, + 454057009, + 371206389, + 961197520, + 287552688, + 392118032, + 4883898, + 112592411, + 24951202, + 411349641, + 637556859, + 425267309, + 821515495, + 676752805, + 236781346, + 438328380, + 366884663, + 983016445, + 551260607, + 567042811, + 816893785, + 296720208, + 424867086, + 394723147, + 229494697, + 984769025, + 998070159, + 540644571, + 638829724, + 294255191, + 18284747, + 820491441, + 491755562, + 999311965, + 214763565, + 242744425, + 904251993, + 385140749, + 865252875, + 72533987, + 662473874, + 486855925, + 407888231, + 592945573, + 506964279, + 508655557, + 768341643, + 263217881, + 89322541, + 664291514, + 823863881, + 232781, + 403837898, + 87532616, + 539704332, + 12522299, + 649362100, + 285770831, + 673868849, + 604201049, + 2708235, + 262428793, + 948930235, + 273657867, + 956044062, + 846999808, + 97034182, + 937751387, + 552877003, + 596711476, + 638755010, + 859942609, + 922050100, + 659006385, + 803239564, + 617242043, + 815199422, + 128967492, + 660051357, + 95206958, + 302447176, + 343264510, + 998569124, + 466324446, + 377847954, + 450549466, + 622984326, + 86555242, + 364514768, + 933257282, + 858764124, + 857590707, + 732799059, + 927282076, + 399646349, + 613301035, + 754123974, + 944041265, + 549973193, + 563996227, + 917666883, + 386812758, + 796559134, + 552726402, + 718809059, + 524156786, + 106683123, + 793305498, + 720151957, + 837567831, + 941307088, + 250723791, + 396393864, + 872007441, + 351962262, + 614192063, + 415866742, + 296372192, + 969765167, + 720177557, + 352915219, + 796930970, + 8617327, + 201387534, + 379949883, + 49609947, + 424451997, + 722636357, + 107089626, + 186472168, + 734829552, + 733214426, + 774210902, + 681287227, + 387052438, + 668400535, + 261726265, + 671690029, + 403785700, + 207655674, + 851554383, + 996638653, + 313947906, + 503714724, + 83405367, + 923462367, + 580977380, + 566734190, + 136741266, + 681715905, + 48941474, + 800870658, + 938066308, + 138222969, + 241251062, + 954209998, + 61019611, + 512981133, + 499797894, + 681749780, + 648471619, + 803133417, + 63808241, + 185890599, + 548518720, + 741217472, + 811019279, + 676097245, + 746738089, + 589086059, + 73827457, + 640275009, + 842560223, + 828700160, + 693265947, + 214282394, + 54418960, + 60368956, + 423462634, + 610142053, + 840322604, + 80325594, + 526742330, + 341576748, + 567585106, + 420677448, + 719731488, + 976674705, + 394791953, + 462383265, + 356181372, + 290662478, + 748598942, + 943203473, + 727084264, + 442445364, + 336776153, + 854944937, + 716042639, + 671691429, + 750535783, + 245140257, + 791099968, + 571246774, + 599180406, + 530190239, + 884033307, + 698605572, + 933605655, + 42335382, + 545709297, + 939679238, + 164532253, + 915067051, + 761003800, + 108113478, + 104990914, + 931660058, + 89576232, + 391052029, + 210468173, + 670646264, + 434310475, + 952897229, + 224806560, + 222986884, + 849690455, + 813906271, + 548942464, + 112871517, + 513753228, + 781398003, + 321538135, + 295100041, + 638097686, + 425679185, + 235065810, + 849484443, + 484056076, + 777231276, + 765778463, + 367558028, + 186173140, + 125505844, + 272099644, + 994815320, + 472934083, + 990474216, + 314525737, + 253226850, + 822167898, + 404356770, + 499070865, + 92766678, + 523281194, + 258812723, + 609387891, + 693966027, + 817442119, + 798654910, + 698552539, + 464366030, + 397418498, + 929421026, + 742466873, + 985742834, + 136860193, + 805846709, + 697483484, + 414296276, + 179328687, + 530977974, + 696798347, + 926342244, + 987934313, + 183872911, + 489184921, + 388415639, + 611537587, + 616305461, + 316397924, + 124811265, + 562495894, + 279282102, + 894616789, + 585753144, + 972743160, + 780888287, + 490620340, + 722044660, + 471435976, + 566270748, + 824816264, + 978547594, + 739746547, + 960265796, + 905813453, + 861041090, + 290481247, + 974647477, + 234275258, + 406176655, + 812357528, + 332526181, + 403281791, + 759584031, + 314075622, + 570478528, + 44832735, + 794934941, + 322043288, + 645724774, + 143818744, + 756413916, + 7776126, + 809190208, + 77193308, + 325356732, + 588486959, + 279093409, + 367798911, + 888709348, + 852555214, + 912086750, + 389773058, + 13204754, + 569841391, + 605876888, + 569442891, + 83631956, + 401137297, + 938554274, + 28334601, + 775367805, + 905929070, + 466535994, + 795502922, + 828901959, + 931363130, + 664806379, + 447220211, + 797271066, + 387611948, + 392874921, + 955637897, + 157753454, + 749163898, + 979944120, + 261694802, + 951460161, + 97249705, + 497009367, + 56302400, + 708048139, + 496614643, + 59556103, + 254047389, + 57999747, + 711175364, + 42392900, + 763078862, + 355052725, + 758759122, + 72719546, + 659363019, + 497376738, + 730709015, + 391566232, + 56332878, + 923069625, + 514604751, + 597876220, + 127074870, + 185924719, + 198561236, + 679720441, + 752432147, + 924025949, + 345465373, + 934390687, + 867746166, + 630474530, + 434630079, + 218440004, + 21824737, + 599259976, + 961363252, + 398344214, + 199677645, + 945019413, + 240914342, + 489844621, + 886995255, + 367900278, + 103570734, + 373362189, + 531465061, + 133503009, + 953586097, + 988486603, + 179292626, + 490612826, + 162616071, + 737477974, + 735604607, + 907375240, + 852800614, + 193311382, + 792151422, + 526853936, + 873605146, + 516218244, + 520818037, + 559624625, + 916582103, + 384226624, + 187463441, + 753367726, + 901268768, + 531496085, + 788278005, + 851150411, + 388488237, + 508394591, + 79293494, + 872148651, + 670305597, + 946797271, + 586541005, + 440592801, + 708448533, + 518538843, + 764833273, + 804384722, + 845084219, + 754417683, + 568653535, + 192866086, + 663798935, + 59903643, + 957806300, + 134799742, + 405259946, + 878098442, + 505230758, + 361131357, + 989607415, + 862433566, + 616711722, + 663278209, + 577556286, + 697780506, + 802391572, + 878816387, + 907597556, + 342680066, + 363160773, + 570116807, + 859887511, + 967545467, + 748406833, + 745951985, + 469448976, + 461240296, + 600424983, + 539157184, + 189940643, + 515984268, + 252879045, + 273108200, + 485211722, + 56597135, + 566193671, + 653470761, + 508193430, + 164238202, + 601339648, + 972694408, + 156372739, + 579221273, + 437669543, + 66928754, + 658099380, + 339769261, + 61199967, + 992420677, + 180141981, + 579727546, + 372625060, + 893614826, + 978140084, + 108754822, + 625977969, + 120855919, + 858583275, + 210301372, + 75765574, + 799981265, + 946659739, + 312173750, + 705014954, + 345786761, + 455959124, + 683848837, + 375075746, + 522944837, + 262678737, + 154369069, + 1932397, + 47629132, + 317369897, + 891543789, + 664682444, + 589167109, + 435268586, + 762869958, + 17818710, + 411088516, + 934001886, + 979165516, + 282732512, + 842246650, + 993340850, + 765425655, + 724804372, + 886746082, + 751827670, + 353071356, + 431048081, + 389815687, + 512764227, + 904988474, + 61378335, + 799552355, + 554357712, + 503619173, + 618324717, + 305713871, + 969228173, + 8971801, + 315780447, + 593087085, + 46082320, + 569857061, + 448123052, + 71240306, + 60079330, + 958872018, + 677413172, + 215903261, + 550548849, + 496138400, + 698585358, + 316917204, + 334406884, + 706566408, + 461931047, + 159940101, + 810112699, + 770360568, + 234304677, + 628994578, + 84884633, + 831492234, + 41824528, + 344231990, + 341716178, + 334146947, + 968411162, + 959042899, + 518922281, + 43195485, + 670575844, + 469854356, + 502097074, + 103116892, + 894314474, + 900852041, + 159816184, + 183904483, + 996918418, + 647873817, + 603415973, + 651736262, + 802134685, + 464548165, + 668414206, + 223263759, + 219937482, + 74266175, + 703690050, + 550268367, + 675859109, + 619558211, + 539879687, + 331984098, + 334896150, + 254264418, + 954906023, + 436369613, + 644734969, + 7952555, + 323748106, + 444453808, + 489120966, + 205504540, + 371785160, + 962621321, + 314572748, + 158443756, + 551139381, + 539092408, + 535157151, + 453095133, + 191986808, + 139927512, + 415532646, + 578269353, + 786938330, + 133867599, + 112291463, + 501971306, + 112572791, + 271482219, + 426477566, + 334957912, + 731604744, + 283123620, + 624530577, + 145754527, + 414463439, + 835762552, + 569253204, + 647021417, + 899611019, + 648139483, + 783546271, + 722905929, + 406870660, + 220177151, + 257115156, + 989677424, + 638564669, + 794084726, + 163248205, + 494811602, + 485359753, + 878178186, + 905114050, + 237505183, + 413421504, + 630267926, + 308994482, + 52808018, + 713243187, + 886124452, + 375251636, + 414226073, + 40309713, + 470177119, + 557420156, + 58370453, + 426761388, + 814100151, + 217594056, + 768130432, + 709256511, + 936804933, + 812388850, + 473934854, + 694624081, + 250368687, + 55473314, + 320914611, + 346005728, + 980124676, + 196710866, + 495497961, + 316320903, + 222841387, + 200414894, + 361871595, + 570676266, + 951820647, + 232363225, + 646297520, + 659833850, + 239985993, + 302264576, + 177292934, + 565641901, + 275425144, + 962329430, + 695027910, + 91654031, + 119851400, + 159195441, + 161557392, + 387833074, + 983930143, + 718526330, + 974397906, + 991245105, + 464544522, + 510965658, + 660361392, + 690958748, + 794563892, + 740799425, + 484560525, + 4975228, + 890130447, + 850649030, + 973278645, + 883604377, + 943514809, + 422394729, + 474644286, + 188600423, + 909994864, + 387985365, + 836100452, + 980216127, + 35184911, + 89584203, + 41284190, + 809588584, + 392834609, + 406053847, + 262945161, + 368719118, + 689543145, + 723313341, + 594833771, + 854113230, + 801962759, + 924263868, + 179516333, + 689370038, + 619129435, + 463288876, + 940310939, + 850205608, + 294426239, + 410434640, + 255788608, + 202280852, + 979943287, + 413416606, + 670548431, + 601842811, + 297768388, + 593535978, + 412553773, + 387847945, + 696058314, + 120000101, + 160892382, + 249870248, + 817268310, + 352648107, + 603015120, + 200726343, + 757294834, + 488465117, + 877828288, + 193027225, + 816160229, + 918698090, + 877723588, + 830661574, + 947067086, + 487237879, + 412602533, + 599087470, + 586968550, + 625614989, + 976783116, + 27669499, + 925968038, + 577413827, + 628904109, + 865419653, + 985824032, + 417314997, + 388736640, + 282237953, + 181721274, + 506660923, + 934852039, + 394830638, + 676881626, + 591829351, + 316281968, + 676580215, + 934774637, + 837844194, + 250307987, + 536586006, + 319945492, + 242190462, + 854670927, + 389609116, + 435859088, + 54306686, + 182899514, + 347404925, + 404709504, + 601291171, + 273157726, + 928901958, + 380439931, + 84392595, + 728179056, + 147307391, + 748173702, + 105978490, + 824260486, + 606222038, + 230908235, + 507853113, + 374022223, + 138039267, + 379039132, + 268494881, + 682465295, + 118179462, + 445033808, + 207036343, + 945707873, + 653283208, + 701420, + 32979493, + 554651617, + 723606642, + 538038442, + 802908060, + 534120775, + 662254246, + 767375862, + 459533641, + 313612339, + 55572160, + 368357473, + 595196330, + 176527275, + 526779516, + 770398183, + 929915984, + 359308751, + 341583644, + 557120741, + 539272575, + 835866461, + 642111893, + 95934015, + 782705810, + 843133868, + 931728013, + 254937444, + 866949171, + 590256782, + 725184175, + 507028199, + 914095705, + 802593991, + 245221950, + 844617518, + 583681378, + 226022250, + 297999574, + 456146036, + 568404957, + 754243669, + 351863031, + 760727938, + 140551108, + 436342057, + 134058670, + 22778186, + 810164820, + 343319659, + 71377554, + 144972039, + 316964560, + 338607310, + 839478251, + 338370840, + 611782131, + 658871924, + 797845843, + 296296199, + 321092285, + 875646346, + 510332912, + 789545552, + 686387788, + 833358684, + 61401878, + 685550006, + 499742443, + 504455074, + 30710842, + 65989194, + 697636528, + 577552338, + 351416185, + 112366516, + 685074539, + 526585281, + 108019800, + 603606439, + 398630793, + 716404250, + 112927684, + 787789448, + 608187924, + 752243255, + 860666686, + 994180153, + 216737475, + 166810229, + 607926265, + 285228604, + 356003135, + 686409319, + 324755593, + 638362380, + 327146865, + 423303343, + 839097067, + 995275294, + 794019411, + 715047648, + 259778943, + 778412581, + 532066866, + 655613924, + 610464553, + 200879679, + 213449908, + 902813096, + 657405833, + 243672469, + 713663871, + 646042560, + 768234283, + 38657351, + 881307265, + 581846181, + 1194837, + 724116728, + 426260600, + 580201212, + 579594214, + 982488008, + 941639829, + 530600100, + 656407930, + 506200392, + 507911364, + 313639085, + 429685755, + 99490968, + 240441659, + 964709950, + 186469766, + 667489, + 849569187, + 846920699, + 388249274, + 219981868, + 167083871, + 335665084, + 799592699, + 507230387, + 209591964, + 447741012, + 117728935, + 231283373, + 250299824, + 565693581, + 498780095, + 926751486, + 593973994, + 667245156, + 125018511, + 287500832, + 485003355, + 519181311, + 585439586, + 751412067, + 583729669, + 347020779, + 144517951, + 541927388, + 8976695, + 966831212, + 610478203, + 671208605, + 192406388, + 52371145, + 995764314, + 700861945, + 265776751, + 223697058, + 391512192, + 940847903, + 629210334, + 498355621, + 116921497, + 281825305, + 118912899, + 71504280, + 842293733, + 741408152, + 963656941, + 756614071, + 724243497, + 583417533, + 985223564, + 211271657, + 700745312, + 574406665, + 187503581, + 155868548, + 756413655, + 887372007, + 215345000, + 513372428, + 547237403, + 193670815, + 365162818, + 25689577, + 963517278, + 564696413, + 670258591, + 825140395, + 611919805, + 189767611, + 226843709, + 82106259, + 158348193, + 284281044, + 836891674, + 195677744, + 81146603, + 900031102, + 340536360, + 825245509, + 61875865, + 24976904, + 525032746, + 464538035, + 168859021, + 5253876, + 781683986, + 975622472, + 476142016, + 429003333, + 504460684, + 636174451, + 87732818, + 349002446, + 921100371, + 698482495, + 82638598, + 256185424, + 715666019, + 996006851, + 75736575, + 269192115, + 868392192, + 742569718, + 852200546, + 81338158, + 318387291, + 511322034, + 456630312, + 930531977, + 849413002, + 756603499, + 837111241, + 774741060, + 677776139, + 112240494, + 256370949, + 921919692, + 476101483, + 284462102, + 176740877, + 481263366, + 154261008, + 631089872, + 22426236, + 192013105, + 287675435, + 958214780, + 663778953, + 515106458, + 502558378, + 436831035, + 867614321, + 912100958, + 624183560, + 21848125, + 564694168, + 930036774, + 581350659, + 495395489, + 161621939, + 816030100, + 48020324, + 603822551, + 899301731, + 597292237, + 220944366, + 872995943, + 555046389, + 699855543, + 949833631, + 510955891, + 170328831, + 959114800, + 244371862, + 870046704, + 807787720, + 293926675, + 155557956, + 416250671, + 939843133, + 202631677, + 123983523, + 268053880, + 274964110, + 495411284, + 418559713, + 855373173, + 753859992, + 741789692, + 663827225, + 679872007, + 154369040, + 882183665, + 849463056, + 482392694, + 852752099, + 308404077, + 758494431, + 979191618, + 306856633, + 440723308, + 229918791, + 518583705, + 402544924, + 357665724, + 777091753, + 93701372, + 794782341, + 179290858, + 450619505, + 774441643, + 182837969, + 583388944, + 807270143, + 179331156, + 164307532, + 120385381, + 403675468, + 188971425, + 96686328, + 30676204, + 600749118, + 662245870, + 656634224, + 200781149, + 927859499, + 476063090, + 140035651, + 506460728, + 183904040, + 889657059, + 910883559, + 974219083, + 828687641, + 235264056, + 652658202, + 812386303, + 909375772, + 264082892, + 67400816, + 110103142, + 627388424, + 9119544, + 166512409, + 734759070, + 304730875, + 303609215, + 587148515, + 644272817, + 405507746, + 389837295, + 538026175, + 352934206, + 356541679, + 66233068, + 92984368, + 185057855, + 41162295, + 660723986, + 69911455, + 959136456, + 644817879, + 339604125, + 915527276, + 115260813, + 24734560, + 678416148, + 399550475, + 802110870, + 861183443, + 949690083, + 989383391, + 726905705, + 333691155, + 892336500, + 134987850, + 140049604, + 108818016, + 959038740, + 502124659, + 972194563, + 979040303, + 146371198, + 610978133, + 953640991, + 48689143, + 489584557, + 178298253, + 14151795, + 778646568, + 204051352, + 709419780, + 976818193, + 344671654, + 676066647, + 787799296, + 975941793, + 28226348, + 72144130, + 395027402, + 393872797, + 574698018, + 575864379, + 538024997, + 220031105, + 244014619, + 832700112, + 493643062, + 250912016, + 483372239, + 893517567, + 360806162, + 676042004, + 432381047, + 712324969, + 568122308, + 810001484, + 820306000, + 550686506, + 758846219, + 487209294, + 147190730, + 632518840, + 481636198, + 154528739, + 156628209, + 440935704, + 632325171, + 490032030, + 460447179, + 30559327, + 699272373, + 424458230, + 63040552, + 233681173, + 632838827, + 967073057, + 505265606, + 677765657, + 429033922, + 679469304, + 468405202, + 574402831, + 419150830, + 460999301, + 629986801, + 856991174, + 486829970, + 141736206, + 827158052, + 290077018, + 289752770, + 533428486, + 264474724, + 809489780, + 518223420, + 846693426, + 284635790, + 171434074, + 733665808, + 542331970, + 850343871, + 478553060, + 791655681, + 835912982, + 508612241, + 185510916, + 641385212, + 366933385, + 103815404, + 416972346, + 721604448, + 910636835, + 46616831, + 64536639, + 953789269, + 424400047, + 722422212, + 916189094, + 428558205, + 38860125, + 957705234, + 708037860, + 491511604, + 761045167, + 109979314, + 670307346, + 454989889, + 171650330, + 564692364, + 280306803, + 418709819, + 137875667, + 342030048, + 229367152, + 149120049, + 501718429, + 33831039, + 506580859, + 952853273, + 929724643, + 145058205, + 934461306, + 22423321, + 249488177, + 870968334, + 688902745, + 612277208, + 396146631, + 470195023, + 770832369, + 212653200, + 74176796, + 368273873, + 161898549, + 690475854, + 839855339, + 498084105, + 621405520, + 217360716, + 372215960, + 919851856, + 63174563, + 662487135, + 367268789, + 50129130, + 387037923, + 480977403, + 260227256, + 731179737, + 804578246, + 972236660, + 17783449, + 879809581, + 713907094, + 104747130, + 841525181, + 224986061, + 810501101, + 948385464, + 901738545, + 672641988, + 565067218, + 810612010, + 711500682, + 186640645, + 511933045, + 408335877, + 695811672, + 280711254, + 691415576, + 938378229, + 634843296, + 886312030, + 436029567, + 610139166, + 506987121, + 258795039, + 211454350, + 514500975, + 906376134, + 267253159, + 813354546, + 886754846, + 595669412, + 382945381, + 418941655, + 833568736, + 573119539, + 238761165, + 700009996, + 984594784, + 18845703, + 34561892, + 534356968, + 158502379, + 88702501, + 572499964, + 181267077, + 94709473, + 133139866, + 923193180, + 712314096, + 254120230, + 245058981, + 133342451, + 861453434, + 603754123, + 318528569, + 503504253, + 523209062, + 345972302, + 558142250, + 450337033, + 84089248, + 356417917, + 82994929, + 399397684, + 300945663, + 691227340, + 113423128, + 264733736, + 887143386, + 132275156, + 900852156, + 345172505, + 785737662, + 329442469, + 905218181, + 591326656, + 903103463, + 328396309, + 242327075, + 931769756, + 640253689, + 373480107, + 139412350, + 926531359, + 265492926, + 833627124, + 272831272, + 853389730, + 513445221, + 1083346, + 42816399, + 32880107, + 450530462, + 383586345, + 664051344, + 25821752, + 400354820, + 663027080, + 339372648, + 740168775, + 425312513, + 655191119, + 682605126, + 389436614, + 952854995, + 769091326, + 710729549, + 369037303, + 38695168, + 150473237, + 274250503, + 500285072, + 350558561, + 393953017, + 402075170, + 789300753, + 514993484, + 345301010, + 953143676, + 389133399, + 107789759, + 881596862, + 112238186, + 181343293, + 924831285, + 49281199, + 632592620, + 158095034, + 893863227, + 839310784, + 362464046, + 655773048, + 50079996, + 175112238, + 442878970, + 125160968, + 156850834, + 344979195, + 480777122, + 708832936, + 433513978, + 775297917, + 222736147, + 853224447, + 103387810, + 985213480, + 691082501, + 241330695, + 817424227, + 662649345, + 679517422, + 555067904, + 148359905, + 719997440, + 848400644, + 976553663, + 444451710, + 447409797, + 672319064, + 770882174, + 906486338, + 307044604, + 594830345, + 227346800, + 92137219, + 676048349, + 66369241, + 852351550, + 799987348, + 86167374, + 611772364, + 926842479, + 17141979, + 51444996, + 151385823, + 715360328, + 568934839, + 92890082, + 165849915, + 866435016, + 448231458, + 791707869, + 157879270, + 687208620, + 317622211, + 586096249, + 595863012, + 838681272, + 146773905, + 412052187, + 134776613, + 518239280, + 55723686, + 206532512, + 801428806, + 368436552, + 998121702, + 791740334, + 103467128, + 24521703, + 563028423, + 931245924, + 618541461, + 241515132, + 433440179, + 325705698, + 594512658, + 687343628, + 261523587, + 554090248, + 179731704, + 249136034, + 639881113, + 427969142, + 828488849, + 251262875, + 990829092, + 512759032, + 177221410, + 485324910, + 247674333, + 789414142, + 697572706, + 547477822, + 420690378, + 224665220, + 510905314, + 776830129, + 942087061, + 22293421, + 687092476, + 647412509, + 475201343, + 794474071, + 631368484, + 532702089, + 623877233, + 23320229, + 463491761, + 997355758, + 315270126, + 561938481, + 473827980, + 676202987, + 682999697, + 643667190, + 928667813, + 413308059, + 109129679, + 240399566, + 303786633, + 21242048, + 701653363, + 628255087, + 589380695, + 970619062, + 567622777, + 498929707, + 391786289, + 120872345, + 953825468, + 178697409, + 180706907, + 103108761, + 914847987, + 891776452, + 764962593, + 290207687, + 973578085, + 397995109, + 310447090, + 149935340, + 533652285, + 545861260, + 472324674, + 792481982, + 782720842, + 943216484, + 871199018, + 367121275, + 498206727, + 133375414, + 921176830, + 169657730, + 204047610, + 895788829, + 25245392, + 196507033, + 402978710, + 532307792, + 246581599, + 619639777, + 977683775, + 351965387, + 944747563, + 892768094, + 332182077, + 305097613, + 764922091, + 699626423, + 883694056, + 114218404, + 499347017, + 48343851, + 454321315, + 938317708, + 874743528, + 414202812, + 432531817, + 996502035, + 111894910, + 621011237, + 821140869, + 246896833, + 361704938, + 927646394, + 384823902, + 80615493, + 585160186, + 778004616, + 770121707, + 515651099, + 218054173, + 67604229, + 168657039, + 388051413, + 791606017, + 716016852, + 255284347, + 951556050, + 424024570, + 536446051, + 485337530, + 619147274, + 232383920, + 451656243, + 327224282, + 658300683, + 134923492, + 118503889, + 88709321, + 576312939, + 362720008, + 154979174, + 866195828, + 44557524, + 343772391, + 467427385, + 463157453, + 567221328, + 50259238, + 256626825, + 908461889, + 856014399, + 888671571, + 986100554, + 792517767, + 705561226, + 658919579, + 11648289, + 105838993, + 179388303, + 377957652, + 92716195, + 891556069, + 175153150, + 322508867, + 471772642, + 297442455, + 186432210, + 977148835, + 802934790, + 193686272, + 367206893, + 693522728, + 755277403, + 506990944, + 990043328, + 262348022, + 848238682, + 426331918, + 221016101, + 763521620, + 792326270, + 729030620, + 463621173, + 625429167, + 502373169, + 361042224, + 361303993, + 85556684, + 354677242, + 698050116, + 987066419, + 300436851, + 500058453, + 118118312, + 534854497, + 396539753, + 86469022, + 413496464, + 570461401, + 828540998, + 713945669, + 539291484, + 517820579, + 509272202, + 544622201, + 928524402, + 269694940, + 932484981, + 566257689, + 173210067, + 955787170, + 67157565, + 581031594, + 811900638, + 586839078, + 339468890, + 515099470, + 242485208, + 824353508, + 986183975, + 255872684, + 742036283, + 546249310, + 939530200, + 946415828, + 465252525, + 227516877, + 348781836, + 638320049, + 869840678, + 392281551, + 727547485, + 726520252, + 925065447, + 391896874, + 945067143, + 626528808, + 463391501, + 39956033, + 399416140, + 792047759, + 189183408, + 223108090, + 577419666, + 188886490, + 409314372, + 344739709, + 91842682, + 802660577, + 775385922, + 585907193, + 173670578, + 442785603, + 339943873, + 725004801, + 745078031, + 485678433, + 337698141, + 147044095, + 616979992, + 872825833, + 412038078, + 785708293, + 369183324, + 724710034, + 47783561, + 672767096, + 543267225, + 923524173, + 765964990, + 382464210, + 264061885, + 540875496, + 434451230, + 30586776, + 756418148, + 80043325, + 449063426, + 709401689, + 444575640, + 247407390, + 28980203, + 771115960, + 30107921, + 772252249, + 846775980, + 819004021, + 676221381, + 478470256, + 703337569, + 209156355, + 541695803, + 269639210, + 505451560, + 555395133, + 635800952, + 235995615, + 790852180, + 87324308, + 382998712, + 594511060, + 891707440, + 190396687, + 176596908, + 43156633, + 941954410, + 648400988, + 922583347, + 114767362, + 945546002, + 314813137, + 13005418, + 478495844, + 422601859, + 837013936, + 482365461, + 977488859, + 823289449, + 198806996, + 882632843, + 452464798, + 178242855, + 277193015, + 287740621, + 219725053, + 480087204, + 852465188, + 836342315, + 858049576, + 931068591, + 242628187, + 804452383, + 379457474, + 415349151, + 34134877, + 75525069, + 883484808, + 770930294, + 103699448, + 225148477, + 860126035, + 530205962, + 896105485, + 893585601, + 149446642, + 579246069, + 657233871, + 659241552, + 314344696, + 353997273, + 266178639, + 33890620, + 622815764, + 192872543, + 176848281, + 825968276, + 656335882, + 260275325, + 196563879, + 79708479, + 698323720, + 230781939, + 568052089, + 875190194, + 839714946, + 8271146, + 497432465, + 133297543, + 248922555, + 400973094, + 474882865, + 324042463, + 714439939, + 804994151, + 76220808, + 37259698, + 733059336, + 520533796, + 437097754, + 795386139, + 922586058, + 239423412, + 542722559, + 524284603, + 448889212, + 963669499, + 693547942, + 618989640, + 300376980, + 471944681, + 872437016, + 607328568, + 689862877, + 124588470, + 510073941, + 679932744, + 871989319, + 720087774, + 456013189, + 158761481, + 107755167, + 777484687, + 952528269, + 484906621, + 73029698, + 825833843, + 893572445, + 716610155, + 685080223, + 819207557, + 55487669, + 371022081, + 957075576, + 206901571, + 128995626, + 473408054, + 170213467, + 41859960, + 153983680, + 410983926, + 282980694, + 929205508, + 755523825, + 280602845, + 462896114, + 690331456, + 61544344, + 873908359, + 567498314, + 727506942, + 877234580, + 803580141, + 366006584, + 440399415, + 811255390, + 419562144, + 685640372, + 753520228, + 739046441, + 863913911, + 522318220, + 383725776, + 922705083, + 135128764, + 123307110, + 95678323, + 671206121, + 480326273, + 817961646, + 352946656, + 683373929, + 613342425, + 982493079, + 208124636, + 357262010, + 39908237, + 704626811, + 472249052, + 58786907, + 444260276, + 841677020, + 40282331, + 111642996, + 497822646, + 891845811, + 77155903, + 174839970, + 285907120, + 867652085, + 977183814, + 50166451, + 537129325, + 360557594, + 30589204, + 191517878, + 728178150, + 45774327, + 358398763, + 217651242, + 279650020, + 960242923, + 564023353, + 604478452, + 264898023, + 701263051, + 482765319, + 517073597, + 312169125, + 980681078, + 946245793, + 460498969, + 541007327, + 763764596, + 369828957, + 111146985, + 675455423, + 428592252, + 576619190, + 773311791, + 206889353, + 1858521, + 629550396, + 576164047, + 994284256, + 877643220, + 116186676, + 550340145, + 632651028, + 962709771, + 324695728, + 184419501, + 65132283, + 399391901, + 886632022, + 489068778, + 907708960, + 857079288, + 509314508, + 767693237, + 962143335, + 513923425, + 172341046, + 431372955, + 176499864, + 616384639, + 643731481, + 659508590, + 278830990, + 177290528, + 598169567, + 474576583, + 774740257, + 43461888, + 215929927, + 27839118, + 737403200, + 549313680, + 401571084, + 802731273, + 52439810, + 639416391, + 247800509, + 586960320, + 145335884, + 553050034, + 504033443, + 789279436, + 207527954, + 972812852, + 398447149, + 470087868, + 910477183, + 706075787, + 845297024, + 604393848, + 511675477, + 153243637, + 172964335, + 836686006, + 766775813, + 17969507, + 624329194, + 28640917, + 795472736, + 345797014, + 536946009, + 437203843, + 542990698, + 235123816, + 219389445, + 946191066, + 530003724, + 825049178, + 883782320, + 233139128, + 747664920, + 159131373, + 218058481, + 501498126, + 480628427, + 377744906, + 360017490, + 4599842, + 763699440, + 612199955, + 507017155, + 580517880, + 195041880, + 581655641, + 417569233, + 691342521, + 795537087, + 817436904, + 83464536, + 402207893, + 48526753, + 641626766, + 783378967, + 486666582, + 573904754, + 837811313, + 426843753, + 685948879, + 849589385, + 100734396, + 701788250, + 316236400, + 624157031, + 595728406, + 182603686, + 739976280, + 52013139, + 180497979, + 235256275, + 83968124, + 780257230, + 755889544, + 580154480, + 896340973, + 505643332, + 220421801, + 970195177, + 821188353, + 925809722, + 603121721, + 775563878, + 408645271, + 637195277, + 531996986, + 131951884, + 188234394, + 543644842, + 323841614, + 4669286, + 458891516, + 785549304, + 860488210, + 529090837, + 61591599, + 978989798, + 64128009, + 580438561, + 434617, + 549941087, + 500739301, + 546865034, + 564938155, + 655329200, + 306673431, + 551802106, + 183974247, + 402611875, + 454079597, + 683836713, + 173660424, + 208096617, + 670700095, + 301105128, + 428209056, + 23269986, + 820836390, + 306464030, + 700065088, + 529546486, + 511913502, + 86039739, + 874202823, + 232839817, + 686925845, + 536565574, + 913600253, + 655562178, + 376795612, + 430887132, + 344960895, + 802060467, + 281552131, + 14313634, + 246889436, + 397326514, + 955315695, + 162569141, + 866212734, + 931225625, + 197910259, + 281821694, + 858390270, + 301558087, + 343900381, + 193763921, + 946111126, + 855696787, + 204837982, + 51001967, + 778910105, + 336079431, + 936027010, + 221487219, + 146753504, + 855018575, + 986713871, + 66349425, + 388969986, + 970208674, + 922633362, + 105860839, + 143579857, + 697883007, + 355998729, + 510902691, + 456029307, + 876306243, + 881596365, + 255546830, + 200794913, + 323774204, + 559186197, + 416069278, + 373366073, + 649062686, + 901925058, + 153214038, + 814408936, + 445243575, + 703250814, + 530599227, + 558714306, + 755998654, + 314751303, + 637241561, + 801447096, + 982434867, + 748246341, + 839395071, + 468253021, + 634066618, + 161423699, + 929407304, + 697948052, + 500992041, + 45169671, + 437363728, + 819436689, + 945945975, + 429148767, + 428484734, + 640016665, + 416293388, + 696276974, + 314857212, + 787099318, + 589672242, + 106034264, + 552624940, + 193843183, + 114926839, + 496784110, + 779304648, + 789153836, + 859877683, + 117857303, + 233653577, + 197372845, + 909562627, + 575477611, + 222448729, + 274867843, + 987782811, + 674874032, + 506115429, + 91898881, + 67831303, + 192874664, + 485177365, + 259553545, + 723227732, + 542122434, + 240440942, + 589555874, + 262053801, + 735930088, + 819992317, + 940343737, + 354344814, + 153123596, + 113653838, + 91614143, + 930692310, + 435690203, + 792963494, + 970668837, + 191883722, + 521507088, + 99881613, + 844117840, + 79698466, + 387659479, + 667089400, + 719691651, + 51222470, + 271198767, + 116578498, + 490465099, + 363115593, + 224175914, + 438633568, + 338611434, + 562460801, + 919482815, + 857770504, + 137409336, + 766973915, + 540897678, + 326373823, + 669830074, + 238095916, + 290531937, + 174656734, + 865750678, + 570481728, + 893364613, + 445144264, + 146259860, + 205133219, + 393446158, + 440055069, + 911151685, + 519676163, + 391113001, + 895631812, + 836078273, + 469047516, + 860907448, + 283246223, + 990592237, + 81041995, + 410726404, + 472554693, + 538586876, + 397895190, + 214423856, + 46014977, + 166935877, + 748505723, + 673814494, + 773209835, + 455686601, + 285392771, + 871220947, + 532647412, + 210388814, + 535507879, + 425893357, + 936249270, + 511428404, + 733504190, + 488978310, + 68310736, + 313234724, + 464010732, + 91355636, + 460023193, + 877935795, + 229955517, + 4880217, + 910817706, + 7918478, + 133426021, + 551872990, + 302050897, + 160668425, + 154655165, + 778955078, + 670307870, + 369170730, + 899692172, + 117936743, + 827644163, + 235492811, + 6975128, + 166426112, + 457620664, + 550426157, + 300288703, + 158036572, + 801926692, + 356965713, + 32980788, + 770636361, + 951955391, + 902222840, + 295510504, + 650132753, + 352675966, + 591183248, + 57689310, + 542385088, + 858456354, + 545610857, + 887721536, + 992677326, + 313633132, + 510513056, + 422188751, + 979677131, + 309665170, + 604417226, + 427338505, + 756356927, + 545660883, + 928509258, + 254002522, + 511583052, + 638391146, + 602313980, + 641102283, + 498313092, + 906614485, + 431912746, + 632236205, + 110906326, + 11434797, + 770174732, + 639451530, + 748835801, + 263263255, + 929415803, + 637860715, + 683859254, + 933935983, + 452168911, + 217815193, + 552344341, + 829976894, + 924114238, + 450621199, + 835431675, + 227905664, + 700985106, + 158281954, + 430008815, + 210011347, + 675606623, + 803428910, + 808448783, + 405665992, + 396869453, + 220282403, + 550911802, + 694503555, + 6020860, + 63202391, + 873673379, + 502707829, + 388681233, + 593020488, + 700138282, + 232579659, + 910337697, + 450908024, + 161312554, + 376576220, + 731591286, + 524601264, + 187132358, + 810250886, + 143281726, + 770405281, + 414267488, + 417902791, + 460311684, + 644455231, + 182425244, + 165918109, + 375315508, + 91245628, + 467386188, + 367132303, + 101557410, + 129661789, + 741265207, + 983971385, + 299963259, + 176615294, + 990841721, + 297755749, + 752158305, + 714691560, + 600801383, + 596310924, + 961973781, + 522784858, + 952973395, + 620308790, + 540907136, + 199891293, + 371936865, + 757222258, + 662893399, + 906248154, + 261689317, + 578889047, + 434330099, + 961677920, + 359898020, + 827783042, + 315835458, + 728740340, + 697650896, + 692884790, + 32091554, + 4895993, + 391389244, + 396767415, + 822752752, + 683131990, + 450183243, + 880996415, + 356978343, + 553707856, + 676313995, + 640846151, + 387458261, + 75470749, + 316211098, + 678780813, + 233158909, + 68842945, + 270435605, + 716140720, + 810531682, + 474602774, + 546628457, + 60063610, + 401672175, + 763318775, + 951906710, + 264292163, + 610880530, + 630917876, + 533273300, + 493510665, + 113959938, + 616910386, + 625413362, + 717130036, + 617493458, + 814475753, + 874754357, + 662415142, + 43756929, + 153351095, + 421934175, + 421217369, + 673899712, + 150339664, + 75690215, + 971819766, + 638966464, + 908935710, + 24347656, + 38878655, + 396641918, + 939612598, + 129638095, + 202324437, + 745068693, + 755760581, + 598958022, + 951518347, + 402327480, + 259819519, + 963936492, + 709554503, + 360132883, + 111161579, + 369191749, + 180571619, + 984748125, + 681495005, + 649568324, + 520675781, + 84825880, + 320491579, + 226565505, + 348015602, + 491494349, + 884006807, + 219334300, + 680838709, + 494474319, + 336292223, + 181889074, + 314153474, + 262457449, + 340795658, + 350212683, + 567498181, + 547923925, + 346988838, + 558843786, + 302003702, + 890502445, + 572606073, + 26234391, + 910200592, + 199689834, + 386731372, + 347602207, + 835600446, + 568971933, + 248909861, + 688971337, + 175547514, + 444407653, + 968093800, + 313899831, + 464465091, + 464797103, + 944109860, + 223661678, + 636611165, + 372938032, + 332683147, + 410115821, + 889934310, + 748319446, + 70611199, + 515244521, + 95536253, + 957923924, + 627772664, + 157261551, + 273545487, + 961420637, + 352405528, + 82599182, + 267969423, + 317468430, + 977029261, + 529677032, + 194700360, + 220370751, + 389120743, + 616313227, + 20052784, + 891551388, + 117572729, + 989454960, + 111832743, + 809522295, + 850160525, + 500588312, + 85356595, + 567143664, + 375058752, + 37715614, + 797544957, + 729121731, + 728053634, + 735241176, + 587469906, + 682977679, + 738490039, + 649233463, + 566356354, + 216942959, + 625962443, + 162005011, + 958450, + 844412329, + 7766177, + 519688816, + 137483937, + 232547599, + 876870507, + 319878491, + 297843482, + 661582061, + 796516549, + 124215089, + 694296659, + 243650922, + 652422666, + 515643363, + 994660867, + 830707321, + 487121289, + 494426613, + 177591038, + 243255062, + 994574944, + 227321500, + 60973858, + 353156192, + 389696161, + 763251468, + 833865564, + 353553218, + 636625812, + 240802029, + 179872000, + 83990205, + 718153908, + 467571371, + 678034169, + 369749190, + 961580824, + 30948862, + 822460898, + 423094653, + 712535888, + 635499538, + 465381164, + 731032655, + 97788148, + 146975682, + 223260408, + 974184348, + 43535914, + 444837567, + 84992460, + 754115521, + 172649296, + 170809303, + 369128350, + 596412290, + 896418960, + 409953170, + 956438401, + 800506382, + 267181255, + 187537565, + 248894095, + 249002195, + 516699693, + 158674657, + 222528881, + 634818839, + 19637748, + 289385958, + 344077786, + 125244249, + 880015720, + 742919271, + 747284343, + 455690045, + 734401708, + 288094953, + 927656907, + 976677473, + 757275672, + 642092852, + 335719371, + 543650979, + 66417331, + 729611199, + 139193587, + 414895728, + 715848195, + 178265431, + 411108817, + 326922939, + 830495338, + 787321721, + 529073008, + 954102462, + 921550345, + 355657777, + 321197797, + 258516482, + 212422097, + 367416405, + 533912345, + 51283149, + 828128931, + 202245659, + 528092845, + 64916053, + 947738828, + 920451580, + 133284386, + 593351445, + 938289451, + 351466166, + 438649250, + 943205113, + 392228215, + 67913884, + 936320498, + 36156904, + 526656089, + 859016191, + 854798693, + 138243035, + 155956801, + 203548298, + 184216462, + 232830157, + 178896234, + 853531059, + 121647360, + 28360431, + 663938059, + 550318240, + 139681926, + 411098125, + 809191494, + 9869704, + 316645398, + 646671232, + 406191046, + 527835964, + 414880370, + 558339213, + 206039048, + 899490719, + 64769839, + 711487135, + 728239108, + 379292826, + 914962017, + 512600176, + 202633540, + 809469112, + 659106644, + 211000738, + 963038874, + 64920713, + 97402853, + 461984447, + 686703313, + 456626397, + 727526908, + 748690819, + 110907065, + 127445893, + 590242054, + 208626363, + 777425254, + 895597025, + 697214477, + 251187911, + 390629465, + 644636480, + 39842796, + 589137810, + 577664549, + 773080973, + 321220689, + 741958674, + 298005059, + 999136415, + 344885183, + 136548444, + 218724621, + 84022976, + 539461690, + 206465010, + 372999564, + 389631359, + 640898717, + 857967784, + 658009036, + 903031300, + 756402289, + 222776247, + 716333167, + 501941090, + 200896482, + 333568171, + 869592913, + 945860733, + 455155212, + 968466874, + 784233281, + 596275233, + 853837635, + 157021605, + 268069090, + 813677724, + 735692968, + 244229826, + 374818623, + 557529313, + 973151867, + 711863827, + 830455263, + 387150270, + 483532982, + 605946778, + 925657330, + 751215508, + 794475860, + 526018907, + 165891067, + 982908503, + 909797118, + 914838851, + 194578196, + 393280347, + 275662416, + 747588175, + 802598465, + 377570191, + 408214024, + 985120430, + 813173515, + 883918032, + 285125264, + 721882894, + 922552000, + 102030883, + 701827069, + 273382032, + 977921054, + 193101501, + 636104234, + 939552731, + 645777883, + 619660433, + 543562896, + 862077727, + 721790508, + 150575405, + 891728093, + 386926372, + 81577195, + 702500911, + 917784518, + 957600157, + 20957299, + 694769074, + 774982625, + 384890556, + 166274549, + 541543466, + 147057234, + 25024953, + 454734480, + 399917628, + 842904145, + 368216882, + 172423551, + 669010744, + 472163724, + 339850830, + 195999118, + 935292849, + 715500090, + 241546277, + 601922235, + 456891985, + 921354614, + 146448220, + 742573627, + 404660493, + 23039859, + 81872365, + 665465177, + 221172138, + 162690282, + 78027931, + 524363102, + 669433204, + 814169175, + 432162376, + 835079496, + 525507782, + 72516948, + 823455172, + 666632452, + 785572315, + 719371514, + 716705307, + 586864749, + 995374836, + 595255660, + 945724333, + 728896130, + 584708278, + 30899272, + 187364606, + 173728282, + 230426893, + 858377795, + 434979081, + 715056472, + 252829192, + 245004820, + 58188436, + 639823531, + 588800093, + 941432722, + 746174694, + 526006380, + 1958, + 479744852, + 462502264, + 429330463, + 542470693, + 331263214, + 645031246, + 379379156, + 127240803, + 190677416, + 239776697, + 52718927, + 693267871, + 541512151, + 104136877, + 392589197, + 957209983, + 378560468, + 152748934, + 569874279, + 925819158, + 234075257, + 164319788, + 301650204, + 681849036, + 420700939, + 554849216, + 106421995, + 15097217, + 150379017, + 784270808, + 82690133, + 24097920, + 106064211, + 772894514, + 268484678, + 670016575, + 772389510, + 80610121, + 593121281, + 197895986, + 942909121, + 355358747, + 25367399, + 544405038, + 381942609, + 856925130, + 266100680, + 507466104, + 960199942, + 359338121, + 277476733, + 708569503, + 150730259, + 952313618, + 278628267, + 385913012, + 970415092, + 285407119, + 510654327, + 819208144, + 130041473, + 494160996, + 940220770, + 536235432, + 842677544, + 344039374, + 23582132, + 928827788, + 316852531, + 495311962, + 872484948, + 577812301, + 403953051, + 227778988, + 911600304, + 443115943, + 946403669, + 841601401, + 483800017, + 535280198, + 684169826, + 333391457, + 882830418, + 711312944, + 701154573, + 298263834, + 200428464, + 570942451, + 973946290, + 517264814, + 521144879, + 887668960, + 451403939, + 724890825, + 446869309, + 350761348, + 36650082, + 746110305, + 831541912, + 964244859, + 141989707, + 452601252, + 518363412, + 733120851, + 229486164, + 719947905, + 205984342, + 433490592, + 161707260, + 27376149, + 739660220, + 889716281, + 217131743, + 689686484, + 421731112, + 412285883, + 158363325, + 940881309, + 37149388, + 55818439, + 861867604, + 467528040, + 833613457, + 611268775, + 910798823, + 431282016, + 431605101, + 833191802, + 653997821, + 45339660, + 453409106, + 161691509, + 991387701, + 550569599, + 860637959, + 423526771, + 632106124, + 837520462, + 803457184, + 470371210, + 708520807, + 105942629, + 475376416, + 568000214, + 386716756, + 727941887, + 998159332, + 855557059, + 471228581, + 676893914, + 135915545, + 829559600, + 54940739, + 628527045, + 41962397, + 83730689, + 392283535, + 116906011, + 37819840, + 319587596, + 448050875, + 357182550, + 311585833, + 590194695, + 567322957, + 744956905, + 476709531, + 364836315, + 686983024, + 106663910, + 384479621, + 552374696, + 777973016, + 982743825, + 463917137, + 776296335, + 65193492, + 216328234, + 600247580, + 430276259, + 499503531, + 598437562, + 53159799, + 267302943, + 157719371, + 475084574, + 669420330, + 202597296, + 964557115, + 658635188, + 922114932, + 180385258, + 971144122, + 93607581, + 73873084, + 245990404, + 804407980, + 512944784, + 947492282, + 40664386, + 438194674, + 975648859, + 607774415, + 373808096, + 802849308, + 997000119, + 482181269, + 27357450, + 339098524, + 922135997, + 133240092, + 75859775, + 557966796, + 739511044, + 632754624, + 310138246, + 258263012, + 382956774, + 618444027, + 12096907, + 158280345, + 634837113, + 590669773, + 644208890, + 36622098, + 822674695, + 502128290, + 595551847, + 641502665, + 943265166, + 200670750, + 857052272, + 700198883, + 781722652, + 611799401, + 268262581, + 790239433, + 77628568, + 222040384, + 791417745, + 672849684, + 519807835, + 984156859, + 820493560, + 389728834, + 570370117, + 563333242, + 813944190, + 840318060, + 818394233, + 728203735, + 667074542, + 68443062, + 571876346, + 865863664, + 515424298, + 70284705, + 89225825, + 796024953, + 211299516, + 638986858, + 19206486, + 245064993, + 459232596, + 762755868, + 925548269, + 176264672, + 428904928, + 514998171, + 914337318, + 597234558, + 811121118, + 646161365, + 33444346, + 46993444, + 657321838, + 876369593, + 704093583, + 793943104, + 861449567, + 995385523, + 477644299, + 466329479, + 127909550, + 746389073, + 835823272, + 967604279, + 66865028, + 213239399, + 702493183, + 144961253, + 965624821, + 266271161, + 495190302, + 594015762, + 436799730, + 631071172, + 29221119, + 22948761, + 648402220, + 183770157, + 853359994, + 767614022, + 37618073, + 642171407, + 362110653, + 391872580, + 244809005, + 433759967, + 69277507, + 254473129, + 796192773, + 67913432, + 511390264, + 328152966, + 830916949, + 328002463, + 171380057, + 539340368, + 246885562, + 118475182, + 175531845, + 431019291, + 668346118, + 917342657, + 876785734, + 776825460, + 747791085, + 535394670, + 376224528, + 980277137, + 275066526, + 107106766, + 363445511, + 433246373, + 376548375, + 424628738, + 675780691, + 380817906, + 43653205, + 397271550, + 818212546, + 698528160, + 392084342, + 863092423, + 919532478, + 849157910, + 380086335, + 722440649, + 486391551, + 788286127, + 30415521, + 670555908, + 555012147, + 60973911, + 418278927, + 464952233, + 382509398, + 100017474, + 983009253, + 581207262, + 165311622, + 615392887, + 831027031, + 979263881, + 417913442, + 775516469, + 513631643, + 806177370, + 62819836, + 510271010, + 13505684, + 296538808, + 147599904, + 378628670, + 93871363, + 463906755, + 75635412, + 769041273, + 723131327, + 936878565, + 484948047, + 47728735, + 477733590, + 223654107, + 694300695, + 34095272, + 20527544, + 419045776, + 481902851, + 868692715, + 783673456, + 283535204, + 56434250, + 393668933, + 312441180, + 365390394, + 736278267, + 182537019, + 429676919, + 549152525, + 998058890, + 724570387, + 174004904, + 631224329, + 458793397, + 621178479, + 769478069, + 979797085, + 244695033, + 873886272, + 884669902, + 584790574, + 670248620, + 180600872, + 410133841, + 432993964, + 423345414, + 744222719, + 104354657, + 494579510, + 829917913, + 551807122, + 929864822, + 595267116, + 480936141, + 283223566, + 389063548, + 877009072, + 79722379, + 47227362, + 800064967, + 283946672, + 170664274, + 710654503, + 548729310, + 403713930, + 429939433, + 428211802, + 791359895, + 70106574, + 719984296, + 982584364, + 485344188, + 708739680, + 684145348, + 447940746, + 733132311, + 53651676, + 365595475, + 237000270, + 379144276, + 398249496, + 110549441, + 709642956, + 880614504, + 114611470, + 450558842, + 167818502, + 522418406, + 957289737, + 319232254, + 261438802, + 714759520, + 248420252, + 705170553, + 548203726, + 866752171, + 929080744, + 955528359, + 416815139, + 924498222, + 174611323, + 20768661, + 83848121, + 958755281, + 821183011, + 612301920, + 632863849, + 230806172, + 771846666, + 934013582, + 862125288, + 292956065, + 661678154, + 716501101, + 532087038, + 814171628, + 916686117, + 131617618, + 280995974, + 571531431, + 516144896, + 952847541, + 274237677, + 355069352, + 961976964, + 99537590, + 514918914, + 83101038, + 437304430, + 760155502, + 269686436, + 268164490, + 569876070, + 344893, + 131604046, + 898759912, + 943570576, + 238006123, + 884319254, + 282315028, + 974520135, + 372057733, + 25671586, + 490760034, + 681611186, + 909405517, + 635099769, + 404502661, + 719532465, + 591547886, + 316192465, + 616258829, + 274942579, + 671331590, + 333771723, + 261635649, + 146167920, + 547854058, + 427365141, + 891018211, + 71213464, + 208671706, + 492615399, + 740412641, + 722793765, + 875607931, + 71600452, + 648772497, + 48820374, + 912188134, + 896185613, + 770545785, + 576993909, + 116284926, + 80213553, + 445171747, + 118177936, + 73179701, + 670173081, + 350493744, + 422607862, + 420988921, + 261843199, + 148856786, + 629814130, + 605116683, + 705958541, + 615801998, + 240606235, + 830530355, + 664221750, + 630545768, + 145051380, + 636018365, + 27058603, + 694644091, + 940911461, + 67706917, + 33346146, + 15340200, + 335230335, + 694971091, + 214386961, + 353281746, + 228345711, + 700480486, + 443781397, + 477432894, + 225377796, + 926461958, + 945636381, + 507930292, + 672403721, + 887619114, + 921770428, + 572657525, + 964029437, + 390070113, + 638716065, + 646479814, + 890288101, + 771582782, + 871146570, + 41151076, + 966928134, + 92865487, + 539898182, + 21076988, + 57537011, + 991346991, + 228957946, + 464600575, + 382525153, + 300641998, + 832664474, + 824359508, + 137134524, + 680028965, + 614581756, + 689634529, + 328166671, + 982052474, + 449672674, + 723325838, + 342096595, + 78348297, + 113489583, + 908282164, + 727036755, + 395918906, + 130017047, + 684926379, + 76871560, + 708751226, + 673646537, + 542158035, + 497794195, + 751050710, + 579484380, + 516396499, + 349684726, + 471728143, + 694775557, + 342003732, + 379819112, + 776775123, + 764639508, + 145249619, + 632054073, + 554432423, + 373163070, + 500874082, + 645203606, + 521493659, + 75520575, + 398238042, + 729563595, + 572809314, + 894871430, + 492183280, + 825986750, + 444274904, + 475642189, + 909726612, + 562234435, + 491467592, + 999398990, + 540760673, + 717289750, + 378137303, + 598798820, + 172747652, + 737577853, + 410832015, + 228850555, + 245446282, + 906758776, + 367540169, + 48428128, + 570277426, + 194224495, + 345456259, + 150513113, + 517196863, + 578141764, + 519055590, + 234861056, + 534953977, + 786758554, + 947600810, + 910483202, + 257276548, + 56008296, + 155665743, + 775652795, + 419738443, + 112580916, + 177434521, + 713144450, + 317885711, + 130107322, + 651853735, + 293492120, + 413691750, + 461504436, + 910658565, + 335072923, + 423367279, + 879185886, + 734825706, + 425220340, + 97072690, + 576990488, + 677782717, + 48451478, + 557805596, + 593821291, + 804262439, + 950695923, + 784568353, + 630880490, + 526397929, + 856056900, + 913272195, + 458060316, + 774639946, + 721445809, + 637712864, + 304725532, + 818228795, + 295306783, + 184546077, + 141734298, + 347906254, + 49774416, + 404260940, + 616087943, + 58205351, + 851299527, + 514815267, + 846868849, + 250008246, + 671909215, + 874932052, + 105658829, + 596133242, + 615781967, + 601034059, + 200800576, + 472609936, + 618548730, + 922440066, + 811764485, + 711032875, + 119874175, + 280312923, + 31459506, + 9328223, + 888128280, + 948210273, + 884711945, + 331245572, + 783388565, + 394468564, + 922306515, + 448639455, + 424031696, + 144673781, + 888725445, + 773412260, + 55980651, + 749457542, + 949476026, + 887283899, + 635915248, + 954298766, + 126817445, + 119282390, + 296748366, + 343411938, + 517092783, + 561087250, + 81894328, + 885376708, + 952294369, + 385046332, + 505282341, + 240520897, + 739154540, + 586332761, + 964068643, + 773779750, + 837504911, + 467004867, + 277879514, + 547544565, + 706654946, + 299607742, + 364969530, + 381748974, + 973352579, + 972417896, + 901835154, + 434983800, + 725812239, + 491361808, + 476469188, + 996748598, + 485612692, + 194615889, + 110881479, + 317577000, + 88733356, + 602652087, + 997248819, + 283276911, + 236710787, + 512684294, + 899174116, + 763326719, + 100366286, + 594004121, + 129853275, + 659454778, + 713288482, + 163448601, + 822658367, + 818571197, + 217880612, + 744578961, + 763877722, + 128244015, + 269348839, + 955580501, + 323173465, + 520327744, + 769538827, + 583069894, + 822591628, + 884415917, + 960497857, + 175971242, + 83679696, + 721747313, + 345824965, + 514058454, + 451760551, + 685422560, + 399517771, + 189497699, + 591031879, + 38722151, + 538283024, + 384127219, + 624120671, + 416021080, + 936977166, + 690347391, + 214097696, + 155012691, + 525905417, + 662701552, + 676657682, + 721417575, + 160607534, + 459144413, + 691902812, + 168673408, + 392841164, + 891729707, + 716616226, + 120032522, + 852704988, + 443518315, + 848085029, + 690072265, + 137858086, + 588933600, + 70274567, + 201276973, + 8227829, + 172480978, + 218313439, + 977158825, + 970629418, + 736127962, + 40574060, + 970839634, + 392973445, + 579743524, + 51024189, + 518070205, + 487905691, + 548703481, + 713898972, + 152238557, + 621488599, + 392088466, + 396299744, + 442898194, + 611137602, + 556270919, + 307914059, + 446282217, + 597901705, + 122121477, + 613159157, + 810369457, + 572334902, + 153845079, + 302325750, + 176149717, + 594991824, + 937830030, + 448500360, + 779333101, + 871936371, + 242325635, + 981431182, + 107514097, + 353815769, + 421272989, + 375617414, + 879761144, + 229730160, + 338797494, + 723923767, + 685019054, + 275922886, + 972879223, + 201638664, + 482877178, + 361160724, + 966947203, + 915675323, + 728861657, + 172117816, + 436106606, + 478536049, + 944028874, + 965517561, + 951110269, + 512502652, + 805433621, + 460296730, + 713636389, + 270316450, + 564268748, + 995015860, + 274474456, + 405239036, + 259956535, + 901624971, + 543809857, + 226588531, + 411121587, + 975934121, + 862478931, + 472943243, + 780627626, + 968013732, + 389496674, + 722615386, + 222109894, + 751411932, + 868093594, + 518040041, + 944125701, + 718279046, + 255600702, + 898133028, + 927428912, + 556640216, + 838238074, + 13995751, + 343443251, + 361576984, + 425468183, + 106220729, + 734991052, + 124294278, + 829387760, + 6736488, + 138856701, + 726659744, + 329581173, + 886553308, + 123694507, + 519932012, + 814568176, + 499495310, + 185253810, + 748930601, + 167638809, + 814832327, + 348542050, + 341382591, + 597484306, + 77686481, + 882004056, + 167963533, + 194520587, + 354019464, + 696454755, + 331910011, + 545476836, + 171161904, + 681893847, + 475070948, + 500870727, + 960905888, + 989037829, + 643528959, + 11412721, + 266157382, + 769242692, + 819613727, + 959858575, + 355004319, + 350579535, + 461214221, + 199006927, + 545363272, + 528884010, + 867854176, + 639117112, + 739805362, + 303773281, + 760180308, + 562865710, + 259821382, + 411419702, + 969259030, + 702574339, + 242702561, + 171224733, + 134168394, + 416376064, + 438964874, + 952158997, + 433642414, + 667329746, + 921801799, + 950053359, + 960742877, + 342460801, + 728353746, + 877996260, + 709392336, + 100316307, + 772495649, + 948596130, + 818734629, + 132773911, + 914623182, + 700261400, + 600464596, + 947673081, + 288626711, + 622915801, + 108004534, + 39559279, + 891927177, + 616417063, + 833276595, + 583795698, + 17784128, + 642922285, + 231440286, + 384990378, + 934631639, + 772428670, + 275317067, + 453359734, + 125394974, + 647628493, + 982930061, + 410635836, + 124569477, + 963408839, + 513244618, + 516705100, + 257982258, + 278738716, + 276217595, + 374024569, + 945197424, + 311082578, + 91401546, + 424908563, + 29787843, + 687447094, + 947321993, + 35887176, + 897415583, + 176500769, + 106785452, + 525650564, + 364048765, + 456709834, + 725710367, + 927708211, + 915724142, + 55725238, + 438815885, + 965967140, + 166616372, + 276527202, + 888056674, + 630106586, + 476779036, + 98919123, + 747644827, + 633137544, + 767158948, + 959072818, + 767005742, + 820174844, + 540285966, + 414863431, + 942185355, + 759716271, + 86469010, + 427027088, + 747120285, + 381360095, + 921576020, + 940036995, + 404017953, + 955523216, + 57440028, + 943690952, + 838677234, + 53701121, + 46782032, + 996699820, + 410893343, + 994262070, + 156493209, + 663790423, + 345668250, + 245138641, + 14295014, + 240913354, + 272731573, + 504022188, + 859654138, + 510740021, + 466139760, + 476737305, + 667822759, + 150228754, + 858787789, + 495060068, + 145935811, + 180008060, + 732974186, + 477476877, + 931308206, + 920075435, + 164656465, + 545685736, + 243150944, + 995687426, + 405640124, + 942506737, + 551442674, + 127228789, + 347458641, + 444928614, + 251599645, + 652445058, + 737551138, + 318874287, + 961279942, + 285470135, + 152836401, + 886113196, + 418904552, + 668561088, + 379314623, + 950332430, + 789983493, + 490685682, + 340310627, + 415843335, + 186006161, + 300628480, + 524882353, + 702756858, + 678824408, + 48401376, + 454418887, + 405336472, + 678947615, + 168258766, + 955715135, + 561801735, + 164780700, + 358313606, + 301236783, + 233326040, + 297488280, + 563945631, + 68859479, + 256824360, + 984877417, + 312582346, + 868950722, + 14624992, + 298388671, + 877470011, + 894010913, + 904336345, + 272503859, + 11525090, + 906562198, + 424999605, + 630326123, + 600617657, + 208423538, + 328141015, + 263925084, + 404192646, + 269702861, + 273620166, + 623609974, + 455825440, + 83009717, + 90326863, + 257809756, + 325398573, + 322906266, + 704375931, + 653062202, + 463138628, + 523585717, + 528171821, + 127566739, + 631110592, + 858756467, + 984822527, + 415812759, + 832117515, + 355231067, + 686918562, + 30199803, + 790339594, + 536261496, + 319221198, + 819036472, + 400193195, + 879428092, + 739880850, + 542706540, + 692945917, + 741700013, + 911950049, + 327770572, + 330924155, + 45086869, + 261286564, + 770326979, + 423123221, + 653403901, + 144406925, + 827176854, + 528095320, + 986104727, + 667214927, + 218909653, + 386051073, + 276134300, + 659665910, + 474310752, + 746923623, + 877751285, + 150487373, + 568063767, + 957944171, + 517531112, + 827241901, + 288534597, + 474266633, + 830478552, + 391288881, + 263517083, + 794600872, + 696574290, + 390192905, + 965091249, + 873253893, + 763560636, + 313450348, + 69814691, + 732625710, + 396932100, + 128157031, + 534900914, + 723030206, + 926766072, + 409525245, + 635434259, + 683362315, + 308255824, + 644286965, + 398932930, + 688647753, + 347142775, + 823611942, + 564727045, + 87660128, + 806093818, + 339915871, + 17967514, + 406349623, + 677105533, + 525133380, + 663457084, + 151673230, + 789952213, + 314714063, + 232968781, + 462652433, + 651618742, + 368094446, + 687781706, + 443197508, + 404394107, + 767210684, + 980809152, + 515373605, + 893470917, + 382559794, + 281762146, + 957666449, + 319940871, + 940787720, + 524324154, + 696774250, + 40296214, + 956806407, + 829096326, + 962830958, + 162955450, + 928364793, + 531223515, + 911415567, + 235539474, + 673211251, + 892761485, + 421116467, + 832140783, + 102957669, + 579824057, + 74604898, + 920440161, + 705130257, + 752648096, + 23712587, + 308440218, + 824579015, + 367884477, + 151397390, + 298292171, + 140987740, + 566688696, + 830780580, + 158276255, + 401077323, + 607950100, + 839288633, + 694640126, + 392011698, + 152901038, + 703332390, + 117132907, + 825038395, + 539066717, + 79694135, + 483101461, + 252281086, + 567565459, + 685709104, + 398776393, + 646752380, + 137954988, + 267851897, + 430047488, + 442206444, + 585987371, + 106898415, + 293123576, + 379250030, + 14880713, + 427484884, + 993348935, + 155387962, + 720970279, + 86403567, + 53385600, + 993264607, + 874497978, + 777186005, + 264556129, + 868534972, + 656054146, + 446616186, + 128178606, + 531925803, + 537658690, + 444661112, + 885962291, + 327994647, + 669047021, + 797532099, + 889010038, + 111123626, + 7817020, + 30772459, + 41906382, + 780838506, + 76517460, + 270782936, + 660708132, + 149109201, + 832742318, + 650335446, + 881008384, + 25034670, + 436851563, + 749818627, + 435787441, + 248646612, + 627319704, + 85262326, + 694065322, + 332537284, + 22961639, + 297333860, + 133854856, + 811652375, + 455245724, + 157716576, + 677134525, + 979292090, + 339162588, + 12209183, + 565107436, + 505717868, + 801004815, + 626813607, + 215198819, + 305967988, + 901704235, + 532258330, + 86837751, + 889122965, + 456404790, + 482414208, + 258059997, + 14402699, + 254949290, + 492266460, + 414732582, + 590111719, + 663516878, + 61981418, + 361800885, + 33031380, + 706398217, + 406082658, + 470412424, + 703563842, + 750820104, + 999035304, + 377079067, + 246328184, + 888754610, + 356484610, + 402493928, + 701061501, + 191792703, + 588118805, + 249172487, + 120589510, + 561540636, + 387952176, + 752440551, + 470694655, + 388736782, + 71717417, + 644841026, + 297573176, + 851683786, + 168554124, + 394132345, + 543359417, + 502942422, + 822988329, + 770420818, + 84222441, + 235797053, + 402223637, + 534725329, + 761980501, + 187299207, + 207328243, + 146345985, + 498276394, + 907125371, + 310500133, + 148072701, + 732886324, + 875776524, + 69057930, + 586586276, + 545740710, + 876505374, + 69812515, + 525853588, + 331497948, + 272292610, + 905052975, + 59123867, + 82474557, + 573761953, + 626516409, + 756572815, + 889041414, + 616599665, + 569046529, + 144620977, + 12131880, + 386427267, + 744307539, + 811424916, + 497676352, + 838833946, + 750680537, + 727486287, + 875312219, + 161705314, + 96068709, + 601720412, + 186376048, + 927396875, + 137498898, + 321688995, + 449781873, + 485893276, + 371016724, + 180381087, + 77441386, + 172402131, + 763861041, + 885157949, + 925072166, + 278724772, + 625632843, + 282596552, + 836332055, + 411944457, + 722429157, + 21707720, + 234007917, + 74435024, + 556614465, + 651459763, + 925843293, + 286912744, + 16112817, + 15145827, + 643589854, + 875142562, + 889994196, + 991024969, + 800700388, + 960714507, + 683310431, + 354641879, + 383222955, + 161296450, + 217521434, + 984413807, + 21770976, + 399838318, + 743730184, + 411590726, + 736100500, + 715776375, + 669484737, + 88886538, + 526964247, + 747752232, + 815317965, + 813051319, + 83422359, + 50976537, + 442449158, + 604191491, + 159244205, + 856266421, + 359274198, + 477029150, + 888268437, + 516870855, + 108961603, + 442455987, + 415679375, + 20376685, + 573559924, + 751660822, + 14595742, + 414240621, + 747188287, + 153313934, + 896726148, + 962472116, + 255186706, + 903194400, + 454568771, + 159054198, + 567630756, + 606500961, + 836766944, + 832771434, + 231960788, + 547933287, + 679291107, + 75049388, + 389804341, + 66351917, + 531029043, + 49655388, + 400565315, + 940283160, + 330271880, + 434429373, + 106107941, + 313493344, + 398346407, + 447583581, + 135811983, + 502538314, + 387647711, + 210670935, + 826415045, + 986518893, + 37111910, + 574750922, + 773111003, + 1111797, + 523432925, + 993927813, + 394523861, + 740800974, + 662774506, + 383155971, + 506996163, + 254696404, + 608659928, + 655885548, + 965059920, + 846436180, + 927596358, + 60338495, + 729926782, + 823750503, + 523126706, + 191591965, + 492379334, + 823069035, + 95386240, + 711569148, + 557616540, + 264337872, + 66190198, + 986626953, + 215336043, + 704690787, + 293518818, + 477352181, + 495395488, + 557279141, + 426219766, + 857007431, + 323680409, + 475350579, + 549028588, + 603947182, + 982664968, + 445868661, + 232411922, + 246409607, + 576992137, + 516543771, + 947795721, + 105748213, + 548346974, + 973210290, + 229376822, + 808835795, + 528089839, + 718600147, + 277341834, + 669482004, + 261937402, + 711189762, + 116677611, + 856010057, + 838250469, + 388440245, + 847961863, + 931878532, + 954515745, + 376475218, + 353571332, + 105664274, + 594760340, + 526504469, + 619597916, + 751847552, + 714745551, + 136666034, + 364809804, + 313591434, + 185712007, + 899304358, + 83101259, + 676781050, + 761556063, + 121534381, + 508020856, + 746482621, + 520139793, + 356164618, + 506882821, + 119795552, + 213179788, + 794599981, + 84820695, + 854713366, + 452419675, + 305295909, + 287244189, + 467847255, + 473057716, + 179629741, + 521891933, + 540993266, + 240374646, + 372570593, + 734197413, + 579023117, + 556644739, + 264839762, + 537548662, + 455603315, + 496727140, + 5861713, + 24697704, + 43164008, + 913138429, + 319422881, + 703574960, + 33982260, + 309922162, + 107928389, + 987899983, + 726173255, + 421903051, + 971675887, + 817858391, + 651150241, + 407910979, + 152677162, + 944825572, + 385332262, + 122716067, + 781709591, + 838860726, + 31513314, + 642902281, + 315944727, + 175367775, + 107184033, + 518520597, + 653926664, + 899314611, + 44797798, + 690064889, + 18151495, + 906130718, + 97076335, + 498657693, + 141135070, + 891265736, + 144943099, + 563210395, + 633810518, + 867610816, + 284258365, + 695983038, + 428210304, + 18829415, + 168746948, + 162389553, + 80051344, + 855288218, + 190600893, + 805750365, + 540434069, + 719061364, + 641366544, + 97266810, + 302311488, + 510633283, + 399136634, + 341620868, + 399929560, + 699782030, + 182213882, + 368207540, + 169550210, + 752661066, + 266261061, + 883925024, + 131016399, + 650876497, + 281059901, + 73445545, + 761457029, + 22735002, + 649701659, + 141286061, + 657028281, + 806285744, + 784599091, + 280887203, + 10449716, + 506613058, + 699183085, + 522756576, + 503025200, + 207795612, + 628579529, + 439006378, + 299072036, + 801038893, + 856103273, + 569899351, + 446838466, + 656881705, + 979677087, + 358100772, + 351453724, + 627471575, + 288731226, + 252404710, + 715345080, + 120735797, + 935144522, + 677666110, + 78591497, + 691350292, + 278818736, + 282057965, + 399461964, + 532130104, + 35618041, + 112363137, + 784885731, + 152765164, + 221414102, + 6070970, + 561310010, + 271276233, + 54989676, + 72175799, + 768703740, + 272194376, + 365325135, + 204778141, + 456302232, + 971096674, + 491411576, + 843550846, + 315307566, + 398836757, + 48628847, + 685175877, + 781100001, + 703085825, + 140794743, + 133924705, + 798863563, + 319607704, + 999163286, + 370875315, + 443242973, + 509390916, + 584021769, + 742029695, + 262559021, + 906899657, + 850850898, + 399418116, + 107906093, + 186731045, + 731399993, + 480400310, + 281003779, + 930636185, + 886315421, + 606227150, + 889777232, + 179539585, + 145105729, + 805738850, + 52098544, + 748460496, + 311577816, + 594384448, + 393633438, + 899356374, + 799030567, + 627197184, + 426131279, + 325895813, + 780376570, + 921247279, + 385391252, + 724681706, + 366675153, + 178637344, + 838377758, + 374197683, + 115724703, + 849804979, + 78694545, + 997311390, + 78718781, + 734425707, + 810762486, + 694893571, + 815423631, + 288612404, + 450208233, + 917358984, + 11887704, + 332364342, + 44876917, + 899487119, + 413346825, + 693058391, + 488889320, + 832878372, + 211080222, + 657428480, + 994036037, + 340778665, + 756319265, + 288159401, + 787491524, + 978986288, + 928974735, + 849364599, + 147377334, + 442280892, + 366022705, + 10269902, + 369484578, + 959935144, + 914686811, + 461856524, + 103244095, + 935421730, + 310585190, + 207407215, + 324685839, + 665744626, + 578181605, + 776050212, + 900938601, + 106209174, + 280326138, + 171209380, + 682474053, + 271995098, + 306503766, + 582418103, + 434140884, + 226900665, + 402272867, + 667662745, + 195825780, + 721859096, + 993475237, + 196550427, + 240903150, + 662206831, + 889021831, + 999723617, + 947885906, + 702033246, + 228159158, + 484356963, + 254662208, + 353484021, + 375945499, + 735092130, + 692292898, + 80505075, + 11027904, + 961062619, + 820813110, + 283110677, + 550478501, + 932291413, + 805515194, + 542581557, + 505850663, + 803642322, + 619285717, + 156871076, + 194542932, + 7147069, + 896217178, + 124484100, + 71451414, + 901275434, + 984753844, + 928299205, + 520304902, + 118240315, + 350413709, + 710411178, + 373858559, + 861530615, + 278769522, + 505660702, + 492558912, + 371945289, + 307632072, + 789018759, + 137680047, + 523366522, + 490950851, + 481290908, + 997176137, + 616216247, + 325346123, + 911230190, + 687545103, + 351436330, + 673042351, + 867175996, + 997737551, + 903804977, + 64733042, + 757575064, + 959048683, + 593522530, + 879350786, + 376081016, + 579423379, + 853537519, + 174104771, + 154772825, + 247970416, + 977554519, + 442156403, + 685316823, + 635762929, + 774202202, + 768972205, + 930455498, + 137635900, + 681394653, + 813150980, + 266927445, + 49873020, + 600886895, + 923035344, + 164442010, + 327248915, + 179715698, + 231543836, + 97165915, + 15354307, + 783019377, + 337234946, + 264615867, + 166904931, + 129498473, + 549245965, + 312045758, + 101312828, + 22797582, + 580752370, + 409021727, + 943919548, + 401569321, + 810162885, + 401670620, + 184475351, + 469549624, + 780155018, + 364188328, + 457490383, + 163362327, + 300263647, + 879023276, + 698609641, + 628008279, + 564922116, + 172516218, + 6994774, + 143199971, + 523854661, + 247714264, + 953290383, + 497841623, + 776473070, + 623590170, + 705573173, + 60341577, + 346019249, + 656200784, + 199522119, + 618503721, + 795277967, + 784059581, + 505056042, + 861264265, + 513289101, + 519765067, + 968841978, + 285644423, + 29874174, + 86712492, + 341240972, + 860016686, + 414530062, + 377901124, + 485564686, + 177704571, + 791704242, + 763045640, + 761159855, + 404862267, + 801013800, + 944219555, + 901139845, + 993613636, + 314252246, + 671801902, + 70672440, + 53987881, + 289940084, + 403065084, + 108163952, + 106482753, + 870012392, + 53844910, + 85911784, + 712580764, + 356708858, + 171367686, + 900323572, + 250454525, + 97608162, + 528306495, + 254704274, + 990498601, + 543741273, + 824456817, + 27827532, + 954310105, + 222421642, + 627251742, + 910031857, + 936177808, + 382895057, + 416660341, + 32272862, + 544484664, + 491751920, + 40503669, + 836107242, + 648963865, + 464059926, + 769121444, + 855591539, + 302534919, + 601850006, + 611972881, + 979140165, + 243885749, + 553381052, + 177827438, + 276292410, + 310817152, + 196102137, + 448025393, + 278242050, + 552387217, + 514454091, + 296907616, + 751916847, + 158318124, + 104927627, + 594666848, + 106094293, + 577943062, + 297881084, + 122858655, + 439927697, + 943847776, + 601018198, + 920816673, + 7833495, + 317766236, + 885771904, + 562233713, + 991174270, + 700648107, + 976762517, + 257599700, + 860376300, + 833391590, + 584328417, + 517063940, + 21841580, + 544797064, + 144575552, + 907664515, + 780266224, + 748956983, + 680232503, + 114060339, + 323307037, + 555870016, + 200176913, + 674776853, + 491174803, + 345971411, + 534396930, + 710626944, + 39585295, + 700401104, + 216025996, + 769458332, + 143549653, + 518896678, + 75095695, + 541827037, + 734278939, + 976496190, + 319207084, + 425556778, + 217413700, + 276464843, + 76372051, + 907008012, + 355157062, + 861965249, + 828580717, + 619005291, + 329153204, + 192727045, + 138408735, + 591169047, + 941756171, + 122560494, + 329181840, + 639761772, + 765343243, + 547981003, + 960903026, + 131425969, + 501382071, + 988804151, + 145240815, + 328491694, + 650948794, + 261873629, + 166111997, + 27031805, + 51047979, + 230903203, + 917429588, + 23685465, + 696922636, + 878695966, + 954789255, + 996702095, + 427361609, + 21474313, + 883385287, + 649158820, + 675196292, + 419525433, + 71373872, + 723194946, + 542378666, + 567757265, + 485309602, + 29760490, + 691536351, + 95163562, + 545072265, + 946407347, + 147413137, + 813982725, + 537424949, + 631631259, + 44904659, + 387402489, + 677960330, + 170087925, + 937734942, + 781629179, + 541692631, + 62421520, + 100854188, + 234888039, + 80944970, + 877169879, + 187322918, + 980368428, + 846878170, + 938426324, + 497044097, + 419778987, + 431329883, + 60993369, + 937445486, + 927538087, + 883408671, + 866887315, + 709862119, + 532249558, + 679122353, + 346318832, + 886515141, + 154385004, + 197911829, + 580387930, + 803192671, + 904538838, + 439495268, + 895007130, + 563876511, + 337772411, + 281276821, + 214318091, + 395190965, + 937129647, + 472358985, + 562944790, + 533992102, + 215810828, + 201029225, + 212787292, + 571498367, + 373002366, + 278681913, + 780591610, + 453657736, + 565545091, + 782922710, + 739894293, + 931805207, + 686170151, + 780523613, + 321633963, + 243453729, + 980754933, + 831846176, + 322235095, + 193437521, + 849909314, + 921182061, + 484972433, + 725269632, + 732885076, + 66812282, + 122894856, + 929151703, + 187595784, + 134116581, + 405803818, + 442364939, + 147003020, + 92408618, + 847070081, + 651487847, + 18889494, + 550827308, + 409951280, + 858593666, + 192217490, + 670443020, + 752357743, + 305168092, + 166856463, + 320828923, + 600354393, + 9151187, + 324215799, + 118799590, + 509362873, + 409237999, + 523620319, + 964118977, + 437886697, + 868760, + 730269549, + 970928679, + 896711052, + 699744316, + 744355277, + 780695676, + 988460097, + 248042345, + 609536109, + 185380247, + 829478819, + 70054733, + 210291982, + 731069034, + 906397317, + 688256037, + 81942410, + 274437196, + 746660227, + 427196992, + 311405989, + 461269573, + 128066913, + 81077290, + 796035387, + 625362010, + 821756001, + 484854027, + 761183841, + 122750543, + 689596821, + 724998853, + 442455763, + 51027302, + 359866654, + 725709704, + 422025525, + 340512836, + 950051684, + 198869419, + 732379310, + 765937352, + 536417451, + 494367704, + 499966404, + 934726126, + 226794318, + 956325335, + 835983637, + 417455383, + 812016890, + 763917785, + 291753974, + 677097552, + 694715637, + 244057803, + 625201829, + 489843658, + 979610644, + 897940676, + 235424080, + 980764901, + 533312088, + 815592789, + 388724773, + 719792457, + 572717977, + 310728315, + 952598118, + 487702974, + 652463645, + 979515199, + 543099113, + 893678873, + 150827214, + 58866747, + 521861308, + 857018344, + 722558201, + 529529902, + 514228500, + 58222062, + 630151167, + 436200350, + 131296429, + 298441148, + 315735211, + 513164879, + 554086935, + 703319410, + 263973575, + 587423010, + 395647631, + 494916675, + 167417422, + 687402163, + 423467647, + 415543798, + 507490895, + 329395860, + 575479110, + 692004574, + 275342736, + 189790036, + 539157909, + 446961227, + 633055809, + 190239455, + 43631111, + 689442577, + 318873066, + 738999267, + 879394535, + 82440124, + 166623378, + 786334110, + 421777394, + 13513984, + 451723395, + 126055454, + 904670639, + 638916246, + 582710358, + 280392613, + 273704305, + 16188584, + 966736517, + 605185, + 735842104, + 166555488, + 977732994, + 565184098, + 667366990, + 178661842, + 730135640, + 457953765, + 883059544, + 438078173, + 215014496, + 921882335, + 264126019, + 358423547, + 507014858, + 258266998, + 692222822, + 753546375, + 41722277, + 449339851, + 357497165, + 140186266, + 690832852, + 336058965, + 24803933, + 998157017, + 698338470, + 38199032, + 189826742, + 171063555, + 87058476, + 875306352, + 449953410, + 658202295, + 620191206, + 972748440, + 621665431, + 248315349, + 261326789, + 800892136, + 793364002, + 910782251, + 81304722, + 123799170, + 857029897, + 626568518, + 679631642, + 170961959, + 259348304, + 485368065, + 315539667, + 36095790, + 28466984, + 395405504, + 171987162, + 737247054, + 682223014, + 195034510, + 978452094, + 291989702, + 382236832, + 233254197, + 489488245, + 32178482, + 439289114, + 712986594, + 281385482, + 810346514, + 391197789, + 511001418, + 172460317, + 970855701, + 857505648, + 498428410, + 696149869, + 331226060, + 512844951, + 13269286, + 562704826, + 973039986, + 308555470, + 777565042, + 114388112, + 901616199, + 990068299, + 786985466, + 363630169, + 529012109, + 639692828, + 138743113, + 148970961, + 648889664, + 495751395, + 224003026, + 460207433, + 56498021, + 926191018, + 990235439, + 607352562, + 276080160, + 282559839, + 598361928, + 143240789, + 307383483, + 691974670, + 990700420, + 815195158, + 720803819, + 436220021, + 32487082, + 395888814, + 724559831, + 482423541, + 548098427, + 262227806, + 739915593, + 314777385, + 563707263, + 802338755, + 659469613, + 141295569, + 538716373, + 501302430, + 404228012, + 564524981, + 674595966, + 993046706, + 592752447, + 412310540, + 569271209, + 644793491, + 40198801, + 451847501, + 610051844, + 274519416, + 204389269, + 200855202, + 171465805, + 122570720, + 854170518, + 189116675, + 347395192, + 993406692, + 714538101, + 380071202, + 375967981, + 616743949, + 374076178, + 596072537, + 315655688, + 986446374, + 242748733, + 952336456, + 259346963, + 380523286, + 23889051, + 615373744, + 69752800, + 194202427, + 669079342, + 235594221, + 183428934, + 605313912, + 995341743, + 125009622, + 604017710, + 865232116, + 275275124, + 304959689, + 508172991, + 49851109, + 729514785, + 759602737, + 138503813, + 274397638, + 138852959, + 451258444, + 604027077, + 266533781, + 770581028, + 626816203, + 603864139, + 59555279, + 775097753, + 386760846, + 160075255, + 22869792, + 9745514, + 760442514, + 660577727, + 836191914, + 787026539, + 119816321, + 783056780, + 217494854, + 854876924, + 904807225, + 164037708, + 605207839, + 764872635, + 964831755, + 391933795, + 129597731, + 819712474, + 354902394, + 651272833, + 294158639, + 237667193, + 226916118, + 698867120, + 71616113, + 609314023, + 395749002, + 687655596, + 1038879, + 334586720, + 6479409, + 536101844, + 176492603, + 469297374, + 241197491, + 889160166, + 406214891, + 88702251, + 849498063, + 288582376, + 228244642, + 86444501, + 908262873, + 446586115, + 947971571, + 236852110, + 565245818, + 113832286, + 800134225, + 257255971, + 887372192, + 613380748, + 65758732, + 121790430, + 237723810, + 160511707, + 741074949, + 252411386, + 5588254, + 28713888, + 252716133, + 945560242, + 177393363, + 285665531, + 881603906, + 364067044, + 480725775, + 108119785, + 501950019, + 45172228, + 312036158, + 38887388, + 710346215, + 483857157, + 974145493, + 100298348, + 192234961, + 153382091, + 784459819, + 819197244, + 3133952, + 712005737, + 411431119, + 568056499, + 728048119, + 716325364, + 162806686, + 86512612, + 715309877, + 398096757, + 857955816, + 88573818, + 4888639, + 685144025, + 325270325, + 13127231, + 67710628, + 33006383, + 466564138, + 682513907, + 526923255, + 810060451, + 452370930, + 654230844, + 287394957, + 471427831, + 98730964, + 889099179, + 993853989, + 306695677, + 181463606, + 765467532, + 381674290, + 361767369, + 733855377, + 959533490, + 376660512, + 776167775, + 873162851, + 564356999, + 486358325, + 529332882, + 804296216, + 440856478, + 344596366, + 12314977, + 501941014, + 103645938, + 15053082, + 530467748, + 68073367, + 371361185, + 58318443, + 300531894, + 105569488, + 92854023, + 497568995, + 302377329, + 894656160, + 952973070, + 206163011, + 467957611, + 416267288, + 734321393, + 766162209, + 328102320, + 801069738, + 816046357, + 284407505, + 225937325, + 143877575, + 638054557, + 391728259, + 579021874, + 18934388, + 383725342, + 150423150, + 806496568, + 41061338, + 557601072, + 225411280, + 914909141, + 280663201, + 260120862, + 354316099, + 234070254, + 467039061, + 462870081, + 990021631, + 196076633, + 762685683, + 195545853, + 601767486, + 435578818, + 347108811, + 59881544, + 789381570, + 272425869, + 538169121, + 329909867, + 186984736, + 856260997, + 966782253, + 872597951, + 756566473, + 567539701, + 286533273, + 729146797, + 965695685, + 413623775, + 161222991, + 97433187, + 420213599, + 891548367, + 642315399, + 540200060, + 547933618, + 615968353, + 378368009, + 267890899, + 345046476, + 393215657, + 799498876, + 84712457, + 653497333, + 953154960, + 382949496, + 808871721, + 694963347, + 658361016, + 156742459, + 155045205, + 879324396, + 397028636, + 847020647, + 60648701, + 663823726, + 567638642, + 739205467, + 392579963, + 709010640, + 255645359, + 536822818, + 513165142, + 742368718, + 614528169, + 593370177, + 835724989, + 382664364, + 846484694, + 578713665, + 556274652, + 383858790, + 938379915, + 287642629, + 798999108, + 648273434, + 256671192, + 235726737, + 643102124, + 302719076, + 677789802, + 680582044, + 289598120, + 683910897, + 618736954, + 546128995, + 505542972, + 56135382, + 513046424, + 46549129, + 952349465, + 845497502, + 767079949, + 236473210, + 188608607, + 443534576, + 364602264, + 889137864, + 207927632, + 456575117, + 635770123, + 249694245, + 886010241, + 366879421, + 776562069, + 293293689, + 72998959, + 76584932, + 286346904, + 117762677, + 646793573, + 713174784, + 29329309, + 638995511, + 556001867, + 398694620, + 64660322, + 437263738, + 859790003, + 52938907, + 929421277, + 109938633, + 165531932, + 720911641, + 555370350, + 576048360, + 898801139, + 238225605, + 270182515, + 947418983, + 899159636, + 21713951, + 77170778, + 38468174, + 831236825, + 373038364, + 453178040, + 248330307, + 559022242, + 630617757, + 188396131, + 322647286, + 748986686, + 609920330, + 76489453, + 714240865, + 670418022, + 634533027, + 562352416, + 777360977, + 737545590, + 799894466, + 315034411, + 280789717, + 699173147, + 793051330, + 172586507, + 988793204, + 227244692, + 928329922, + 819528454, + 593040436, + 416410793, + 657491203, + 422768058, + 891393446, + 422476664, + 456073044, + 761783391, + 8950330, + 683743172, + 372624872, + 621892519, + 361933024, + 553314448, + 357582721, + 282820157, + 269733505, + 37405465, + 820379708, + 618078850, + 959954637, + 589862371, + 891346219, + 265244327, + 783439524, + 388997403, + 796050043, + 827535554, + 60810228, + 992256735, + 421781383, + 38152656, + 465847031, + 922293882, + 32272927, + 16924869, + 240291409, + 907108434, + 781471784, + 865707676, + 825626936, + 444981750, + 837450821, + 973080770, + 474262415, + 647336498, + 964370482, + 947838725, + 793437804, + 944023608, + 233381644, + 315076250, + 268248928, + 841493610, + 145138665, + 424669224, + 712213930, + 887988483, + 96460297, + 313851041, + 364884669, + 197298275, + 284604261, + 592858347, + 2075343, + 833448195, + 442031603, + 143337141, + 909014726, + 838707588, + 673776879, + 237121756, + 61869106, + 876970989, + 183036766, + 613489220, + 838333895, + 135564412, + 12405562, + 427409659, + 389416737, + 546886974, + 821388532, + 399667271, + 10115913, + 141684574, + 745883999, + 48313711, + 6590517, + 142977355, + 703459138, + 972608568, + 290156512, + 494759953, + 104739161, + 110780388, + 476133300, + 861108460, + 691515089, + 367789010, + 298721563, + 300467797, + 69640173, + 731390672, + 49282990, + 558280754, + 240412973, + 94830923, + 892592396, + 409911396, + 543275288, + 597766798, + 112267386, + 326885162, + 124051648, + 19660270, + 618788976, + 577738003, + 623948654, + 613153309, + 448841157, + 162395592, + 127878628, + 569779745, + 436012301, + 983540486, + 343354573, + 35510153, + 498302457, + 408028103, + 376258412, + 975884994, + 927380001, + 446067314, + 891034030, + 406824264, + 893412766, + 879661267, + 262264433, + 797280423, + 169880433, + 246411894, + 969559200, + 999748328, + 384090371, + 827866749, + 894454748, + 489027107, + 345572331, + 431389732, + 961661392, + 332507513, + 355432793, + 107347557, + 238084605, + 918920583, + 97684390, + 896185956, + 60548293, + 88156466, + 129205667, + 137242629, + 140970777, + 934567897, + 179399278, + 503119566, + 662535078, + 455259266, + 703029099, + 247033655, + 252008781, + 860340754, + 43544047, + 316188792, + 785622133, + 838858491, + 725196949, + 43172630, + 792007328, + 143769527, + 554001053, + 11014222, + 925695116, + 149609398, + 622245056, + 864121314, + 599588570, + 964657230, + 858869282, + 25821699, + 347513860, + 977312620, + 516342339, + 561559404, + 553667025, + 885779956, + 740150857, + 225919607, + 97708667, + 663820050, + 167459691, + 393864413, + 736060706, + 912060804, + 720669876, + 968430375, + 597131250, + 277474508, + 751661181, + 624494340, + 337452648, + 260594848, + 152238690, + 314531680, + 22563405, + 567449545, + 570290551, + 794016679, + 669818615, + 612415177, + 269251929, + 222892157, + 77328247, + 341992212, + 781951196, + 841261942, + 322164168, + 825789778, + 142276966, + 422399944, + 23319945, + 455235923, + 793195271, + 810904677, + 246954686, + 96836603, + 954208315, + 840976239, + 365289189, + 734111881, + 612216414, + 721801060, + 882436541, + 783255937, + 828656905, + 842064479, + 152250987, + 624448295, + 426190853, + 921453627, + 725471750, + 844060780, + 272409354, + 422132965, + 373705438, + 184134426, + 572385700, + 797663067, + 381914595, + 280267774, + 395743065, + 170457392, + 618958668, + 972105274, + 367589541, + 635163512, + 546588552, + 733719244, + 655537469, + 280539387, + 121639774, + 219968596, + 516032292, + 864150506, + 459711926, + 738049856, + 374243167, + 531897836, + 696817475, + 247419906, + 610492730, + 726726565, + 545023069, + 341718292, + 36107744, + 425482550, + 919431850, + 494271316, + 194489745, + 506445366, + 315572111, + 182444468, + 84502571, + 827570514, + 813967709, + 129161077, + 572166785, + 263969858, + 986135893, + 121864900, + 544547310, + 542263575, + 891628801, + 392400060, + 999021343, + 226304116, + 171873397, + 874244388, + 153753094, + 978028958, + 128999961, + 165458888, + 64182763, + 475346051, + 305433400, + 957939041, + 263458662, + 543612623, + 789810787, + 359458757, + 202150670, + 722971538, + 850845860, + 785254867, + 957699357, + 93630241, + 664388223, + 995473552, + 869250451, + 662940349, + 809270922, + 653068814, + 400847576, + 998458755, + 602592050, + 874352063, + 539871208, + 133317712, + 427582732, + 378653068, + 557424699, + 551383444, + 75677133, + 385729944, + 558481481, + 974238218, + 787199545, + 28046850, + 25124385, + 771008702, + 892738285, + 26403297, + 701127371, + 344790106, + 164066687, + 645204653, + 514046176, + 165166401, + 571912177, + 189726885, + 744400512, + 725136018, + 922960939, + 476964226, + 183615986, + 532937481, + 296560617, + 158660682, + 775072798, + 318014131, + 87872803, + 65066721, + 625205688, + 752360777, + 192912819, + 17587961, + 275373371, + 557574822, + 729558905, + 382170795, + 148566599, + 878202606, + 154683890, + 42800454, + 839396993, + 227311543, + 128604656, + 901614563, + 505453437, + 666142549, + 271377427, + 668279528, + 148774081, + 883423396, + 392108787, + 334941690, + 305193415, + 851046694, + 448435143, + 618731826, + 356559174, + 569670892, + 725215762, + 120097410, + 640979658, + 521960815, + 204226719, + 667628625, + 876040020, + 686080495, + 295106661, + 824048975, + 676227338, + 60206023, + 467499238, + 3123613, + 432318485, + 605501075, + 411247368, + 780818142, + 151435068, + 211597401, + 928568485, + 55980710, + 785282330, + 608361079, + 121393406, + 653261471, + 792318686, + 407129532, + 805081711, + 884108467, + 46674579, + 599379977, + 490246923, + 727468783, + 657311088, + 350330933, + 804377045, + 7610595, + 346283498, + 914809243, + 21276487, + 156560213, + 205836220, + 392186097, + 692533175, + 256388476, + 694031306, + 922921366, + 581013949, + 409436852, + 431512766, + 943553357, + 538754187, + 637263832, + 124514277, + 718842154, + 226680801, + 59969987, + 617243679, + 447513542, + 152022591, + 45211736, + 446862720, + 588508361, + 559810773, + 426242216, + 956690638, + 259819517, + 863866819, + 409729514, + 325257317, + 845533197, + 70777570, + 457265305, + 38739421, + 435541708, + 717994842, + 763053129, + 316013592, + 232526264, + 813756165, + 815997314, + 935086234, + 299467623, + 700562225, + 358608426, + 854347938, + 410643380, + 26154659, + 137279553, + 971839551, + 977521961, + 202098206, + 498752687, + 939137734, + 166486414, + 283348330, + 87861314, + 898737457, + 776251891, + 782334858, + 687776576, + 586619910, + 859507133, + 669757900, + 600830788, + 717667828, + 786364664, + 467070083, + 838206857, + 685963897, + 152844271, + 834285156, + 19781709, + 153892263, + 108355814, + 869871091, + 487084538, + 42152894, + 587091510, + 973734429, + 118944736, + 833546688, + 997941078, + 778867965, + 115553528, + 57196929, + 518989238, + 32404314, + 523484664, + 975155550, + 371859196, + 69769576, + 649618594, + 646645694, + 418437664, + 760599709, + 470612773, + 171550646, + 758964466, + 952783573, + 566038942, + 133715763, + 497006485, + 770250171, + 297253851, + 525828775, + 406903183, + 604505048, + 821325378, + 18596742, + 591270613, + 646394303, + 949445, + 386616639, + 515095414, + 233222138, + 335100624, + 151177654, + 543207282, + 566124181, + 703882814, + 842563781, + 592523260, + 481123935, + 10679009, + 384996551, + 88143477, + 794965517, + 165640259, + 323308963, + 424639876, + 517558431, + 941890920, + 563223399, + 539475167, + 183967840, + 159951756, + 134966665, + 450726961, + 107767345, + 534655535, + 843012967, + 768250778, + 858775387, + 915709842, + 452981920, + 552323402, + 425775120, + 82748517, + 516119695, + 923708372, + 679064051, + 84903211, + 74429371, + 343545972, + 96215826, + 418203980, + 266533317, + 260370507, + 731183177, + 541442243, + 290226644, + 510617523, + 573373321, + 17894810, + 890149699, + 791099246, + 44702004, + 370279833, + 410192107, + 561868279, + 757002224, + 53797562, + 168074496, + 533294742, + 399708752, + 384786687, + 31650624, + 488600801, + 441073258, + 985333900, + 790343333, + 266779490, + 76159696, + 744000901, + 937168398, + 841915451, + 530748868, + 738563925, + 111966896, + 467489718, + 176700426, + 117976935, + 513527277, + 310375793, + 90600497, + 93171621, + 604071736, + 675154965, + 817781510, + 628837956, + 388127847, + 144321421, + 176127521, + 483268465, + 554251156, + 28103884, + 598215586, + 265024238, + 945953396, + 686235635, + 882803294, + 474612951, + 767767142, + 623129149, + 169856839, + 345419500, + 143030288, + 257481155, + 708403841, + 320780620, + 788735101, + 321564779, + 216964599, + 618098528, + 1739454, + 986273379, + 876220332, + 792402926, + 180581146, + 648786257, + 15534248, + 671273964, + 527928292, + 814420514, + 931232615, + 906248666, + 595702792, + 713900069, + 752767950, + 803155749, + 133934580, + 28237492, + 305367141, + 133193751, + 530757059, + 426481790, + 110057234, + 648594007, + 74650655, + 955198191, + 855192590, + 874385837, + 596537114, + 430127697, + 108816368, + 497225810, + 318255970, + 518503151, + 407042213, + 925539138, + 500294105, + 190812560, + 682674323, + 640176663, + 849255216, + 101231093, + 274146550, + 390213149, + 142903097, + 694643214, + 684449943, + 428791064, + 672788147, + 566525954, + 953986774, + 459145100, + 89920884, + 560958763, + 274599298, + 133984398, + 812390540, + 813018107, + 23124214, + 384731538, + 737671000, + 429396288, + 374301665, + 140116877, + 247680322, + 705957305, + 321477566, + 154785593, + 339873502, + 736378020, + 859995727, + 965694949, + 625421623, + 889331118, + 390547761, + 800327418, + 767844228, + 934082352, + 404260356, + 666758867, + 391887152, + 804976308, + 832804748, + 674501797, + 879407665, + 429393622, + 739726895, + 416038773, + 21444234, + 394770483, + 5389913, + 564947550, + 847270558, + 413957460, + 523003455, + 94075286, + 593235674, + 733450906, + 717484389, + 663488342, + 568164610, + 868277991, + 310403540, + 779683615, + 212393820, + 849968809, + 918896686, + 994923470, + 908278723, + 646845556, + 325068325, + 175505608, + 428267075, + 307633080, + 77149702, + 956082016, + 875214040, + 619963980, + 533981106, + 868618176, + 472123848, + 530441244, + 205422569, + 196533449, + 475633432, + 579090789, + 703164848, + 12869346, + 930760116, + 438277275, + 346230381, + 711010013, + 971112261, + 77781285, + 197129761, + 492988204, + 334954038, + 513519110, + 548862099, + 673049424, + 466254932, + 141767001, + 628522472, + 487147805, + 196230386, + 548163700, + 19525495, + 396301018, + 202257619, + 598797242, + 551314581, + 425512448, + 80817348, + 717846489, + 330034602, + 330602516, + 949010332, + 151278639, + 287636672, + 286985908, + 957796783, + 926554239, + 565323972, + 69805639, + 379778241, + 155633318, + 778345679, + 57130281, + 583254041, + 431817577, + 119982068, + 145362963, + 763099076, + 600545501, + 368567435, + 516731510, + 660908924, + 825997714, + 98264328, + 916872205, + 482535230, + 575811296, + 413577619, + 929653249, + 167323421, + 831113783, + 165394640, + 305298277, + 748188213, + 412413753, + 390449666, + 208271985, + 464121130, + 435565884, + 601565201, + 330271472, + 9805749, + 476491711, + 769426265, + 94980073, + 84888109, + 541787076, + 645150266, + 176056137, + 348376327, + 201197043, + 561151641, + 390525600, + 58563420, + 648515989, + 544919012, + 6374542, + 361737439, + 769191617, + 746267424, + 986062802, + 647932145, + 694841391, + 757278368, + 698996101, + 783975820, + 963228469, + 739312089, + 750488155, + 625340341, + 481061088, + 582915163, + 557405892, + 160978943, + 49027742, + 570506441, + 279184513, + 559617002, + 884689427, + 331260434, + 561943754, + 659701149, + 13521230, + 269861200, + 465438535, + 414963660, + 260351235, + 615206284, + 22987255, + 373713119, + 989643229, + 462794845, + 841373420, + 793648426, + 689862652, + 431862135, + 515158620, + 907671692, + 252861163, + 75962683, + 324743059, + 109651070, + 122231047, + 861695220, + 949900666, + 111657605, + 340029945, + 750775081, + 743301263, + 522708338, + 733250962, + 45469927, + 746762169, + 442144189, + 92737397, + 203370794, + 808324701, + 995296402, + 886333667, + 21045763, + 968824590, + 315812454, + 433416303, + 397518113, + 661756647, + 665996821, + 280768907, + 55496314, + 62789534, + 96667421, + 311262795, + 414763911, + 607336705, + 430731748, + 573181241, + 832689681, + 921856481, + 997916216, + 754219255, + 614746984, + 245882767, + 244795793, + 184091179, + 20294712, + 906040454, + 820013994, + 126398, + 174143455, + 645013367, + 637271421, + 519031774, + 329863761, + 810083469, + 913068927, + 326023927, + 399672736, + 336659137, + 405089130, + 905063978, + 914002695, + 411510847, + 720798797, + 583851634, + 548348213, + 211898053, + 800023638, + 891373152, + 728720849, + 715513758, + 376857753, + 218610096, + 884416707, + 228559141, + 16428912, + 373683130, + 476096933, + 304355713, + 952268771, + 452086021, + 580692650, + 298249414, + 547435969, + 407169257, + 147153438, + 895933765, + 471816602, + 747606417, + 681544983, + 946808150, + 517218615, + 568498116, + 475745676, + 341112772, + 806390443, + 123394172, + 725791210, + 830755668, + 254744631, + 735217522, + 978511300, + 749208488, + 587912008, + 911952324, + 342924919, + 221774881, + 430678947, + 800217803, + 18658762, + 587509766, + 887352779, + 650205231, + 988995474, + 886518436, + 175242783, + 611470329, + 828721808, + 201548487, + 669131527, + 68541894, + 475408519, + 722448924, + 798685023, + 858861714, + 533320902, + 594669921, + 673984394, + 583325363, + 100243908, + 280475273, + 464327534, + 264753686, + 450059429, + 823758976, + 88758937, + 659284670, + 184407921, + 515882506, + 881234616, + 655566539, + 730694100, + 84262147, + 933173327, + 190185637, + 873371834, + 907881497, + 495801247, + 93847099, + 102388760, + 881560428, + 866557307, + 98863117, + 992720055, + 194188293, + 902930642, + 520999805, + 856346173, + 515791440, + 714085294, + 382469487, + 456475202, + 219429564, + 932079280, + 684004576, + 866400899, + 751750696, + 10394689, + 413936319, + 335674410, + 550256580, + 82409787, + 421669629, + 567409406, + 468326495, + 772554252, + 409132740, + 479468303, + 541524899, + 470579547, + 388728038, + 18058534, + 553713413, + 820274706, + 507212585, + 924425232, + 587914240, + 297907561, + 732170780, + 826802852, + 962039174, + 314789168, + 745533305, + 713550267, + 429115180, + 981015931, + 119523004, + 462467952, + 693290073, + 525183166, + 160014523, + 548275957, + 108749219, + 863109294, + 478798920, + 781033736, + 896884882, + 354571884, + 499946143, + 604953206, + 707135457, + 960709805, + 371644, + 726407050, + 743900716, + 450862803, + 319501780, + 212855034, + 609338781, + 484234335, + 617436576, + 252229965, + 794414690, + 374667571, + 143705731, + 259490979, + 80491355, + 578891147, + 807481322, + 795609594, + 286044049, + 637771722, + 329346168, + 828936548, + 860710537, + 43521261, + 675101534, + 428503351, + 965647864, + 385605782, + 35365558, + 69009574, + 620101598, + 24448726, + 754432615, + 227775014, + 23043207, + 192097769, + 84913585, + 799999844, + 836290540, + 864107702, + 195108140, + 478641369, + 779903296, + 553771900, + 932239809, + 833379281, + 282570078, + 260834726, + 985887528, + 559381044, + 871816638, + 465538162, + 305074371, + 534951628, + 747725895, + 214050370, + 434099076, + 333144056, + 850430845, + 292136416, + 54311874, + 875600733, + 559443580, + 24898882, + 879172133, + 878628314, + 737478569, + 459759138, + 383481741, + 291196584, + 764114630, + 175261149, + 388400003, + 771958661, + 488794635, + 642576096, + 374909455, + 563225805, + 598859208, + 907984915, + 700317622, + 731275242, + 978889720, + 387219744, + 59337858, + 674362482, + 138483923, + 781382256, + 662490316, + 14446228, + 206731632, + 44517849, + 622434319, + 727591295, + 2030702, + 145189054, + 445189403, + 584258047, + 718771582, + 200760019, + 830716513, + 209739329, + 876744918, + 232225161, + 468254971, + 517261578, + 799937660, + 807072655, + 111592634, + 68446445, + 226674156, + 728936229, + 228037370, + 542491144, + 114359892, + 280129992, + 846091257, + 667228019, + 167942450, + 494725086, + 671974136, + 614488391, + 619505778, + 713178374, + 229424032, + 804332676, + 906774859, + 428368582, + 239493666, + 978509828, + 276500418, + 619227605, + 763619467, + 318150750, + 707080672, + 429615871, + 283906113, + 926086933, + 21787960, + 946290072, + 138776480, + 609458039, + 423037733, + 92989616, + 693394317, + 750255391, + 318119310, + 827325213, + 204491938, + 870326531, + 336135176, + 458568320, + 217125137, + 707330566, + 586046741, + 510945360, + 672179039, + 882992955, + 660226296, + 249734315, + 460963464, + 260740863, + 387485121, + 533477444, + 829484530, + 254710245, + 687285260, + 675225955, + 49450508, + 933396766, + 286984317, + 78814429, + 697375294, + 180531523, + 126266492, + 163424336, + 965744791, + 548658442, + 670364314, + 158609458, + 545967743, + 607479737, + 534032031, + 757540074, + 334652182, + 234884528, + 320781894, + 110640926, + 610657211, + 930713321, + 379146203, + 344771713, + 235552630, + 102697584, + 474954785, + 657227725, + 185815963, + 625506272, + 802643078, + 259402637, + 74022562, + 447322505, + 542340405, + 381156376, + 420300475, + 271267431, + 76247478, + 1037096, + 342639085, + 602359352, + 592212644, + 268474184, + 838319807, + 594382379, + 749701190, + 874884869, + 620444770, + 899436315, + 221852562, + 86708153, + 803520601, + 479619209, + 275533326, + 527261152, + 24737067, + 970949255, + 524556148, + 810005832, + 737907884, + 173159116, + 248509162, + 602715244, + 234744721, + 213374871, + 284562739, + 71600292, + 992768388, + 950666793, + 925143060, + 380501043, + 851563748, + 69796453, + 823367043, + 188615074, + 799073991, + 54593723, + 46691080, + 126530152, + 582325058, + 643690380, + 759648473, + 588945749, + 234917306, + 386671336, + 24390369, + 872017064, + 669869696, + 400906489, + 810166757, + 198571376, + 333466111, + 987535032, + 298914222, + 9104436, + 42254869, + 218357870, + 497676527, + 243195341, + 933518363, + 822595385, + 474190187, + 846638892, + 257835937, + 104901385, + 147440677, + 340438547, + 508406464, + 616436114, + 351323622, + 596098501, + 593615204, + 957006851, + 440950114, + 250926684, + 692197290, + 551088026, + 483295970, + 85296948, + 545839596, + 137548448, + 577626925, + 738069150, + 975267278, + 985090835, + 476774085, + 879241177, + 983196568, + 745770222, + 396745682, + 592346449, + 656298550, + 635813626, + 449868860, + 415109598, + 657282870, + 770049378, + 100300184, + 828370833, + 841948778, + 204764325, + 779508966, + 58957202, + 779736428, + 55622092, + 699985522, + 782802804, + 564341341, + 400534912, + 289284553, + 386736361, + 10465441, + 5737442, + 297967759, + 502823425, + 822487894, + 72313977, + 225626944, + 20513366, + 108929526, + 607118958, + 969435315, + 12564543, + 566596839, + 142643157, + 981190087, + 948147040, + 541631485, + 485114948, + 510761708, + 997715562, + 303754547, + 422270876, + 715699865, + 796732507, + 218833340, + 538194760, + 980623153, + 608191519, + 784937479, + 302234688, + 257584217, + 356692867, + 653171800, + 38690464, + 738966198, + 295549448, + 533250839, + 63152001, + 302876563, + 756038515, + 891440023, + 564170037, + 33605722, + 48054040, + 719955702, + 403329310, + 415419235, + 747132963, + 472975809, + 339240821, + 751223816, + 381352391, + 120738605, + 783154418, + 586147718, + 144200159, + 481543492, + 45057972, + 245177870, + 449539331, + 857332904, + 67672868, + 499782274, + 400236293, + 504511688, + 752898372, + 342129177, + 973178352, + 300249907, + 561122341, + 635207847, + 327492347, + 580514432, + 613365397, + 473038701, + 526380205, + 298506725, + 375106204, + 135562995, + 5558166, + 241545839, + 83147683, + 365947353, + 126887961, + 86107783, + 906661031, + 717814396, + 6030185, + 587863558, + 869215132, + 410589969, + 656230109, + 515283542, + 990068493, + 19500818, + 940124925, + 334283943, + 341148322, + 730987678, + 149251031, + 465189712, + 35753195, + 181667237, + 718627781, + 551350460, + 294085287, + 998062834, + 687171390, + 440417558, + 260660568, + 256456963, + 173286123, + 165577075, + 252990616, + 96816550, + 998883680, + 101845254, + 809734698, + 275934573, + 799572586, + 761625872, + 123187779, + 460094424, + 663392335, + 335126774, + 850070939, + 854999325, + 780184920, + 36756263, + 466322169, + 895024627, + 203722533, + 464079809, + 756530670, + 986042611, + 918297851, + 998636546, + 194216613, + 225076191, + 871241355, + 188121100, + 458747435, + 162984434, + 924195, + 628229240, + 966361250, + 90914124, + 895434155, + 231806630, + 840312514, + 718757317, + 708022374, + 195499584, + 505831636, + 340250478, + 272532988, + 666438592, + 511952191, + 484352325, + 541170434, + 851702413, + 392435733, + 960921507, + 727163473, + 715065297, + 722887525, + 157325552, + 76537151, + 916805366, + 739836340, + 526073806, + 52564014, + 603857096, + 752038571, + 798245592, + 168972999, + 945903841, + 449885112, + 228916421, + 85790551, + 731477363, + 493354905, + 997696337, + 812363035, + 941481425, + 921622378, + 865613764, + 901895356, + 535753482, + 117563951, + 579753227, + 804723907, + 971400807, + 533432436, + 749455702, + 640692683, + 504828106, + 612273182, + 885852840, + 625606035, + 723132352, + 486408203, + 901475905, + 10294593, + 528222438, + 566319066, + 275528367, + 146900178, + 192422710, + 694481158, + 2411676, + 114157006, + 199764118, + 276133451, + 203086809, + 378004186, + 955189728, + 730819734, + 224361847, + 757397519, + 772247497, + 610546072, + 740993864, + 948916975, + 432011820, + 194718347, + 341265835, + 308545303, + 216990261, + 351218464, + 421229639, + 543573844, + 159805567, + 433477934, + 728562013, + 565412384, + 660024411, + 647300498, + 50320269, + 194972029, + 551146531, + 465029853, + 932863763, + 650105045, + 848814264, + 468226577, + 748774021, + 505576531, + 482819932, + 283946969, + 787750360, + 67672302, + 88854574, + 468831720, + 828568788, + 914726275, + 580346697, + 991267223, + 161417262, + 866066234, + 873859640, + 371901394, + 876800861, + 534687312, + 34409423, + 313235170, + 571496940, + 79515229, + 503313538, + 518915929, + 265013117, + 514612991, + 658076123, + 64967574, + 857424887, + 855319071, + 181759201, + 245501566, + 423526924, + 435817195, + 363128806, + 70830659, + 841781162, + 422732324, + 423020470, + 723887142, + 304598103, + 183162885, + 964369580, + 385797980, + 181217533, + 581143418, + 599274425, + 461660935, + 51185028, + 927424407, + 122802114, + 134761301, + 976074526, + 471314284, + 309031037, + 299880487, + 595461537, + 615849478, + 749303606, + 416163084, + 682367829, + 741837186, + 408006481, + 677440643, + 828079620, + 315231205, + 738066905, + 862196318, + 772475459, + 434365275, + 29785231, + 26556306, + 490342109, + 318751496, + 120328776, + 572473093, + 493397615, + 535093956, + 137836418, + 381763508, + 793961720, + 60761203, + 435919, + 743668271, + 588021863, + 109318051, + 772318998, + 97647125, + 892300701, + 686308019, + 301639038, + 572214987, + 791890999, + 166324368, + 438485993, + 788738812, + 239475011, + 380805978, + 166923619, + 41150339, + 561646541, + 315235499, + 46801339, + 642128077, + 710032980, + 445607838, + 231060973, + 856868460, + 431866651, + 461532122, + 554829729, + 804090512, + 924541976, + 3553285, + 281770699, + 233149010, + 465841348, + 329975495, + 804302827, + 71354872, + 103168910, + 243686383, + 676908695, + 591164460, + 448406685, + 830351066, + 504654440, + 583013951, + 888053024, + 29334340, + 308076148, + 357545526, + 978790409, + 802661059, + 379376424, + 410012834, + 937434007, + 821496902, + 624630212, + 459612166, + 55035634, + 738705509, + 841764340, + 281334857, + 13813325, + 908655323, + 558798752, + 32754814, + 25153591, + 940121062, + 490327123, + 936296837, + 83312785, + 175799938, + 405457906, + 667817809, + 541641430, + 65935467, + 611649462, + 259881811, + 459327606, + 761633945, + 948899208, + 581707672, + 700069836, + 409557473, + 628244320, + 821182310, + 402651838, + 765219360, + 831345335, + 641024574, + 419131833, + 231010283, + 375125431, + 386085464, + 420194301, + 646738223, + 860128496, + 56074603, + 554654327, + 889589109, + 547358187, + 13694140, + 358128442, + 522947701, + 114393503, + 480953780, + 652544843, + 514342109, + 165744003, + 449432101, + 691182025, + 32211816, + 201609502, + 953778723, + 842240936, + 591118275, + 66369697, + 711527349, + 156714315, + 736677390, + 584720923, + 10449065, + 757740841, + 752927677, + 760500470, + 283713420, + 144746051, + 925832671, + 132657651, + 851363353, + 866275624, + 746022256, + 982846139, + 244668596, + 558235454, + 697586679, + 52822042, + 616800456, + 28171664, + 62001361, + 675650032, + 851653440, + 397227487, + 930402797, + 129900309, + 595060140, + 763677145, + 505062000, + 850335362, + 81450747, + 538160990, + 710431745, + 5263649, + 113351514, + 821208069, + 598383704, + 865897504, + 626631562, + 441766021, + 957064908, + 62872823, + 57838426, + 777244737, + 151428974, + 265460418, + 457109486, + 644053295, + 883019010, + 985909655, + 704140830, + 230079619, + 726027258, + 292683, + 448221228, + 635515482, + 423201379, + 992346281, + 676552408, + 460655475, + 383830065, + 209046692, + 848341581, + 642078984, + 780475489, + 524870766, + 144814273, + 248197865, + 190806276, + 591452523, + 931440879, + 370141432, + 611960411, + 780515039, + 465074224, + 552353212, + 18053522, + 47077437, + 480213866, + 115238271, + 165198872, + 469604725, + 697377376, + 297681903, + 173225767, + 604917948, + 608976295, + 170550754, + 989637845, + 724226541, + 420587531, + 176057172, + 707867567, + 190785073, + 999007447, + 236992522, + 917244832, + 874161868, + 549758361, + 75081478, + 954160229, + 280161792, + 607883447, + 254303672, + 101701578, + 421330032, + 910777984, + 295325039, + 481073763, + 715373558, + 35221157, + 731455799, + 761419152, + 371348939, + 247456145, + 329963691, + 600066153, + 977533689, + 956536959, + 327976985, + 668147859, + 914318433, + 166047794, + 150019267, + 739793118, + 568796048, + 223985076, + 630555746, + 886367856, + 449766888, + 528145246, + 849408814, + 880142430, + 166810634, + 29354883, + 268004055, + 186500623, + 657913635, + 438481589, + 329354704, + 797255999, + 312529890, + 465868777, + 555565427, + 812979244, + 451063934, + 900846099, + 804621976, + 936298913, + 205353453, + 787924275, + 715200668, + 678870843, + 321438419, + 623754229, + 813543888, + 73698122, + 84338888, + 56988708, + 538463497, + 717378686, + 400889952, + 956514712, + 524095332, + 269186414, + 93278545, + 685346789, + 813599436, + 825371030, + 837785813, + 67011576, + 966586768, + 490097547, + 708133253, + 820441644, + 238448156, + 626362054, + 682046757, + 540883368, + 626276746, + 303820628, + 851367382, + 316265608, + 644128299, + 266000812, + 376659412, + 836977402, + 627192730, + 962657417, + 74704161, + 39383790, + 702915661, + 553241178, + 441549278, + 157230877, + 19157522, + 85347778, + 77860278, + 53942706, + 462699429, + 237503609, + 144862104, + 760520253, + 594274566, + 960245161, + 378462891, + 999789997, + 515038745, + 677221435, + 140146051, + 143089556, + 806761971, + 712797968, + 742689570, + 458271579, + 297979077, + 915237857, + 890306143, + 824689473, + 699877399, + 554746892, + 710140849, + 409396529, + 976871914, + 639445115, + 239240971, + 241139765, + 404045962, + 458020250, + 807916714, + 554806331, + 220091311, + 292236554, + 138889187, + 177906523, + 120360570, + 239024630, + 747840369, + 435111797, + 334147145, + 828903060, + 516193229, + 871830841, + 252330124, + 486676708, + 218669420, + 739789150, + 856954502, + 666852814, + 856690389, + 344911435, + 476226993, + 256804638, + 408458139, + 309697270, + 688620610, + 751795784, + 906251710, + 70378518, + 421901648, + 423089935, + 684341436, + 991234940, + 971455081, + 339826746, + 655398735, + 177366935, + 919107683, + 795701080, + 911044276, + 174614953, + 18210176, + 137080178, + 471556323, + 192746949, + 505456262, + 774418133, + 252559193, + 65146588, + 846064683, + 800719105, + 475402315, + 709472614, + 937377085, + 924367161, + 769621634, + 473963953, + 471857394, + 715052761, + 383137386, + 576835487, + 221363912, + 65385892, + 376712725, + 183304550, + 176005803, + 352824566, + 262018865, + 860754519, + 574293743, + 98847027, + 316499344, + 586136828, + 537252227, + 769616879, + 852009990, + 443119961, + 213882916, + 649360831, + 603076659, + 896127783, + 840845054, + 44859205, + 759889313, + 255315400, + 120145333, + 71783670, + 131788600, + 949155960, + 712408825, + 56079504, + 376609321, + 30025570, + 264909088, + 938573746, + 299864319, + 910938941, + 576712961, + 138560869, + 214307082, + 631887622, + 58518897, + 127040537, + 618278152, + 729395076, + 913451477, + 452822207, + 160153925, + 315213012, + 451055449, + 335358119, + 551706402, + 782487802, + 575777513, + 851116423, + 396667945, + 671140224, + 951193156, + 303078567, + 233535935, + 537334391, + 290017350, + 427761441, + 261317762, + 572194498, + 79463172, + 491864154, + 823689051, + 846719374, + 214323943, + 604677161, + 286113118, + 209333363, + 984173469, + 686192409, + 854990860, + 92580437, + 545786489, + 243797129, + 842352387, + 106861178, + 20533317, + 846866680, + 154752522, + 46627498, + 905092065, + 112196, + 299637, + 958985218, + 953654412, + 996002092, + 304715647, + 392617653, + 948913678, + 838022163, + 666139215, + 990628967, + 505483582, + 13508762, + 932609761, + 50327245, + 846537776, + 661890470, + 956545272, + 50409495, + 754730070, + 870931605, + 207863377, + 108049268, + 429717296, + 305287530, + 870644795, + 366924870, + 951257041, + 583622161, + 261079607, + 129703276, + 954029183, + 821580060, + 401848443, + 565564915, + 570627690, + 467987242, + 30608258, + 328516103, + 37993054, + 203628152, + 939155506, + 328733924, + 496103455, + 559873118, + 218361831, + 832865970, + 17005262, + 826617130, + 904243672, + 29210576, + 369611000, + 22287254, + 114801494, + 137634774, + 653634065, + 498179644, + 268288701, + 595607117, + 330426919, + 809754252, + 802750180, + 999882259, + 755989653, + 661772537, + 444492213, + 543579390, + 905529044, + 912136076, + 673376691, + 727233973, + 125844358, + 254887923, + 228029816, + 200884561, + 780767002, + 530716216, + 171239914, + 129772458, + 315561467, + 183521551, + 946656463, + 728788777, + 921436729, + 92685250, + 865205865, + 90568284, + 919535057, + 756682557, + 241027247, + 496123527, + 986686686, + 622353091, + 816531309, + 641788641, + 113863053, + 824067199, + 175917024, + 945518523, + 378763368, + 765437765, + 566214200, + 905111981, + 336065633, + 964896530, + 229729320, + 264724499, + 919807349, + 402990775, + 862894669, + 328144965, + 293226084, + 753516422, + 975263547, + 436250986, + 754949620, + 235599301, + 76416058, + 162755405, + 36460248, + 327077211, + 886401182, + 76319599, + 722675368, + 15723177, + 682007307, + 103167861, + 562479365, + 226743732, + 28672937, + 592801503, + 172154553, + 906183274, + 985646043, + 100560061, + 621730335, + 336286168, + 415185279, + 646825602, + 516497177, + 961205757, + 649709727, + 276291185, + 563866038, + 251934214, + 404407379, + 201707822, + 315134183, + 249898647, + 845458949, + 249808810, + 820350289, + 958046407, + 808483550, + 834601705, + 960860877, + 362231871, + 729135286, + 56050104, + 916397243, + 43502541, + 742074780, + 468050630, + 983192592, + 521388556, + 521705118, + 977907340, + 418205653, + 311325120, + 553621935, + 282316769, + 391798058, + 822361849, + 252740974, + 461523576, + 770079300, + 574087539, + 123519746, + 56744740, + 632493722, + 872560557, + 899196234, + 573997690, + 66892146, + 634157034, + 848795551, + 576204029, + 934928695, + 420734646, + 786245857, + 858900441, + 194159381, + 49599675, + 645151056, + 13834884, + 746095992, + 251297453, + 137815873, + 276825305, + 83478808, + 415452751, + 627491810, + 500696707, + 215421927, + 569683404, + 7315607, + 476677816, + 553279272, + 870905158, + 656079766, + 715956957, + 470604357, + 633304086, + 447442103, + 389665651, + 883434394, + 369486533, + 383585845, + 425063276, + 656829679, + 3149353, + 611379346, + 665538510, + 167898998, + 514367815, + 894402293, + 961329947, + 762491758, + 544600686, + 580185081, + 698926463, + 606059538, + 50592532, + 502797252, + 835755700, + 691872830, + 225546165, + 720900551, + 441681401, + 833351745, + 416569219, + 439665373, + 380232098, + 55905686, + 105478414, + 199512684, + 920533599, + 369081545, + 398399604, + 44258562, + 870462807, + 858711053, + 807030750, + 597624967, + 271641954, + 841324805, + 170768472, + 848099668, + 58233066, + 522308922, + 18490830, + 930659160, + 275917698, + 921881562, + 917305946, + 855442377, + 995728982, + 700743290, + 640129649, + 796806617, + 852901832, + 548436388, + 895590995, + 73436958, + 248048912, + 729633410, + 788092345, + 976173698, + 69365275, + 750000106, + 231112576, + 310621448, + 872577522, + 839515904, + 766400388, + 462375429, + 891578682, + 692313596, + 378147677, + 340085948, + 980709520, + 750038540, + 223682458, + 264145409, + 977324712, + 424408416, + 83305555, + 884412584, + 347202360, + 564886574, + 544349421, + 567850346, + 459022203, + 780707538, + 132472997, + 651729288, + 468942219, + 481477233, + 312762752, + 708203638, + 469477097, + 264716281, + 323856517, + 283556647, + 345747631, + 325638637, + 627490152, + 652058578, + 194437580, + 228350139, + 242177010, + 682792262, + 843197226, + 532684615, + 398492937, + 582811868, + 960024370, + 3682272, + 541541574, + 173609987, + 921728544, + 692554983, + 389344105, + 777700577, + 730547442, + 826787612, + 962814732, + 438300416, + 529579866, + 594688593, + 156694815, + 627686985, + 855031500, + 31644694, + 96488222, + 134082955, + 707709593, + 607750350, + 22689561, + 879135776, + 679133237, + 926060167, + 31382625, + 736840376, + 985484680, + 951369344, + 392009873, + 126616281, + 949945405, + 93081454, + 12666341, + 136082075, + 123809054, + 922038926, + 748581935, + 830478038, + 405831082, + 521778741, + 175857563, + 577794762, + 721455112, + 383875519, + 756280643, + 408204345, + 737629043, + 749558627, + 602290816, + 641060327, + 75532022, + 708860993, + 778578947, + 153269542, + 776843632, + 496038364, + 922902241, + 725186811, + 344339446, + 62375307, + 179087082, + 536565888, + 355473280, + 92670008, + 898950539, + 225375705, + 849257077, + 846738997, + 229355181, + 28959720, + 700976574, + 602412523, + 69822858, + 720127373, + 463584384, + 205872666, + 326555065, + 659948270, + 75384339, + 23512863, + 488383871, + 834840985, + 768666741, + 81639340, + 944222223, + 977470708, + 700833526, + 200785773, + 969731118, + 271208636, + 173033101, + 758481502, + 656826263, + 909943206, + 55876508, + 561507577, + 965685084, + 311676854, + 559979159, + 774768246, + 43887246, + 806268245, + 853642353, + 987938803, + 261981652, + 250941057, + 583312314, + 538444293, + 13555052, + 160655765, + 343808538, + 820829676, + 490615677, + 455879672, + 992125904, + 604424219, + 411715709, + 191984023, + 810807789, + 189458942, + 397451293, + 215015058, + 900632027, + 939317370, + 32131876, + 371816645, + 583892115, + 500603678, + 352207975, + 327700254, + 129051291, + 121558358, + 702080593, + 30960284, + 304001634, + 453883094, + 263876970, + 126125236, + 350502928, + 337770019, + 201403672, + 103397166, + 55793389, + 610930754, + 683959231, + 155749740, + 810719793, + 695139445, + 229632327, + 453902410, + 231059761, + 277856389, + 136217145, + 595790665, + 830252833, + 166478312, + 707203500, + 673583692, + 200683664, + 940157830, + 551650320, + 224316319, + 550408584, + 562947013, + 67402908, + 883226423, + 486367892, + 917452981, + 467827665, + 71729281, + 700758438, + 366271748, + 471514062, + 803372351, + 196582062, + 148624990, + 122685977, + 111083022, + 837318354, + 357710970, + 584286555, + 890564308, + 690421114, + 39146276, + 708554139, + 576243697, + 594285058, + 859057347, + 400611209, + 582910284, + 147284829, + 40394114, + 805970330, + 756863230, + 325865573, + 100888483, + 356923159, + 88377138, + 636390268, + 523434050, + 368152087, + 624620911, + 579431353, + 42497043, + 969820791, + 299374822, + 308159813, + 702175154, + 939335999, + 456804068, + 761602804, + 943952152, + 997960914, + 479018906, + 860745522, + 554536931, + 149810208, + 495559878, + 857893405, + 25721712, + 534519131, + 544308690, + 32299516, + 188350752, + 972140613, + 655297387, + 257296921, + 917764592, + 335672895, + 280112458, + 325358770, + 607886021, + 293396687, + 188670220, + 835349532, + 890719274, + 184008301, + 707433688, + 38456533, + 887664779, + 756760519, + 882256116, + 978353484, + 264497750, + 152421396, + 521376097, + 803685029, + 597054891, + 802781125, + 396403851, + 504697923, + 91482447, + 268405498, + 549995692, + 551306558, + 358047053, + 723338970, + 515716889, + 398558332, + 244403812, + 463457169, + 123666112, + 505452231, + 855514358, + 901432864, + 341412349, + 14461591, + 758180969, + 966753962, + 647028359, + 808997039, + 938766646, + 487492906, + 516654777, + 72680100, + 111521284, + 52485651, + 12415555, + 760356278, + 425994613, + 667255866, + 690981038, + 790293942, + 834770437, + 649385860, + 416399555, + 871392417, + 247490400, + 435762999, + 328613005, + 184355384, + 253426420, + 391886819, + 523644636, + 297265913, + 438550475, + 418261452, + 532418530, + 857765117, + 585071133, + 919004433, + 358601121, + 476249662, + 699880980, + 655916721, + 468653762, + 387409869, + 920452553, + 921279852, + 260019161, + 113284527, + 871709053, + 958114481, + 501500363, + 440003328, + 513405792, + 95510357, + 786732787, + 709988093, + 321287583, + 887042288, + 44150923, + 779942807, + 54525564, + 792932326, + 344066674, + 476623299, + 551038752, + 143835553, + 199052933, + 819277571, + 349489093, + 263085058, + 35096467, + 705374463, + 590501466, + 448354092, + 635017452, + 587910394, + 500844935, + 400636400, + 585228434, + 192754503, + 794340948, + 453773147, + 187174836, + 643711159, + 319272695, + 908856553, + 192860718, + 401898617, + 919924294, + 64667169, + 139515306, + 340432089, + 969703697, + 874792247, + 434625948, + 221246614, + 748172402, + 630583578, + 614532122, + 794315068, + 706727110, + 910548502, + 336155991, + 750454626, + 402837668, + 12697623, + 329681015, + 273807737, + 502759985, + 425288080, + 902748163, + 485834251, + 620534362, + 863518169, + 835003766, + 284927718, + 338536546, + 20561896, + 222795812, + 245147887, + 880655975, + 174868338, + 416200790, + 626684292, + 247184873, + 857121725, + 973289228, + 253320204, + 201557228, + 822321103, + 197458093, + 14844656, + 509796552, + 936617439, + 592838062, + 906237408, + 261344098, + 531646160, + 303351859, + 785849058, + 860382814, + 554082673, + 949009612, + 126467059, + 810482477, + 663764488, + 571523311, + 795694619, + 782326409, + 104361127, + 272416162, + 213123402, + 702204906, + 624352306, + 354169893, + 787576070, + 626113079, + 405737501, + 644873493, + 272345896, + 543712582, + 596540508, + 168217505, + 272709232, + 330573796, + 203685204, + 302278414, + 738187848, + 425899921, + 684264826, + 316570898, + 444051648, + 692090960, + 855758863, + 995080675, + 568771600, + 823156484, + 66740492, + 481695330, + 51974606, + 701690716, + 474102222, + 475785291, + 769990123, + 661160432, + 595256715, + 574812299, + 654440248, + 98803644, + 928201015, + 960328389, + 684898983, + 315013302, + 139869957, + 24915240, + 3327391, + 504233458, + 719864300, + 681960816, + 573612168, + 606992275, + 533432116, + 295670418, + 945518849, + 105651347, + 38904965, + 886932361, + 603389563, + 242067801, + 35808766, + 860453644, + 934194387, + 640536761, + 11289302, + 265442880, + 17875945, + 749340994, + 742185679, + 438688316, + 798298457, + 249657105, + 848926801, + 329381330, + 764840396, + 593585385, + 944333965, + 412487490, + 153144171, + 782783295, + 798540285, + 285437524, + 673833636, + 180518430, + 316423825, + 677448673, + 573867014, + 669055326, + 600682247, + 864390637, + 754626024, + 664383295, + 944319188, + 950222490, + 640079717, + 722034505, + 245102806, + 370341, + 614727322, + 638716774, + 975417037, + 794012652, + 187917292, + 270626440, + 804279034, + 437630378, + 514739973, + 593759895, + 733882943, + 359213002, + 798719033, + 652726125, + 298339457, + 659843174, + 460104375, + 381089534, + 650612100, + 185717258, + 428424159, + 95942198, + 235157387, + 945979648, + 405497162, + 156669756, + 556813634, + 766100816, + 445630904, + 336472665, + 30361939, + 621154778, + 932609491, + 46497215, + 216071175, + 14083277, + 89555529, + 729334321, + 484494032, + 940734432, + 781643290, + 763625848, + 387054702, + 920403942, + 675539297, + 174425054, + 725116467, + 927926536, + 480359565, + 86840971, + 614263012, + 307820388, + 923811961, + 556143527, + 162115507, + 448855786, + 646450586, + 443432899, + 632091540, + 419008352, + 466221681, + 735492634, + 960692825, + 382541874, + 592446403, + 368482601, + 491676940, + 982953211, + 366144489, + 345258442, + 963405787, + 515688992, + 860675361, + 143401098, + 94082829, + 707206925, + 151207314, + 781234212, + 222700841, + 523779611, + 151216736, + 999524801, + 301081266, + 75155613, + 692790736, + 708029103, + 111119756, + 449069957, + 465097396, + 620487442, + 127143948, + 261124522, + 261506679, + 303449270, + 549125968, + 770971328, + 511720863, + 453047503, + 725735678, + 767628809, + 105599169, + 299842834, + 214008243, + 359908293, + 162631409, + 10365878, + 915129137, + 901414871, + 512015043, + 139292103, + 738126349, + 659331747, + 645832921, + 856312599, + 675626293, + 317600409, + 220197527, + 656543482, + 687296054, + 185464825, + 317914996, + 6786333, + 815093757, + 556744207, + 616176295, + 778371215, + 285773040, + 322746971, + 657830045, + 751379694, + 243084447, + 452185644, + 828335303, + 908896480, + 989115992, + 263856708, + 118931166, + 887386521, + 216721561, + 499166340, + 417858314, + 579208406, + 50902572, + 965903349, + 882045655, + 599817827, + 109603552, + 766176808, + 593687305, + 32237903, + 443799839, + 375924343, + 253007611, + 822371475, + 176051481, + 236858610, + 324188904, + 238383252, + 982724940, + 280550866, + 465577771, + 676680134, + 105197358, + 378651515, + 380094159, + 77092831, + 580002729, + 672434637, + 713354491, + 458945257, + 286382361, + 808766109, + 453641881, + 235715524, + 81306744, + 329381221, + 860538083, + 929289283, + 295237387, + 536837977, + 590161724, + 650000477, + 950168814, + 226583369, + 432854682, + 785626293, + 507697490, + 93740552, + 64380398, + 686537629, + 139958898, + 591427240, + 869325601, + 232247266, + 680534858, + 715044575, + 207612560, + 707820890, + 265557402, + 23597233, + 333420463, + 104855902, + 268362180, + 997183233, + 861625804, + 489000164, + 129006841, + 671428203, + 392068678, + 920890315, + 384091965, + 482159835, + 60560458, + 23331273, + 922416045, + 958922310, + 696965753, + 39029891, + 585043915, + 503178364, + 408319234, + 99895195, + 776333395, + 343207165, + 965161290, + 313428793, + 392884010, + 794715218, + 828029117, + 988037434, + 722617191, + 178831418, + 590307004, + 768216725, + 956036514, + 497056124, + 301056276, + 550706736, + 181028595, + 989654714, + 323579353, + 62843817, + 101353434, + 485720308, + 229437677, + 844110627, + 896490978, + 588493838, + 745795723, + 360503327, + 770966554, + 20853207, + 154898569, + 909746246, + 972072696, + 828680471, + 358192988, + 52940671, + 479522307, + 375247654, + 373895078, + 145385344, + 521079278, + 994480575, + 395003018, + 527329108, + 181736575, + 235737143, + 852098233, + 862066536, + 586835017, + 852518001, + 880317169, + 564304326, + 827997520, + 120717853, + 535836825, + 129227870, + 255580066, + 638769489, + 928231225, + 809510793, + 157254495, + 584274839, + 588192060, + 965473119, + 168133090, + 225625917, + 650420338, + 795559173, + 142888362, + 363973227, + 635562520, + 504587634, + 314477625, + 585578446, + 552135074, + 476298191, + 518789654, + 294229216, + 752188167, + 768694030, + 532171191, + 769907525, + 97819289, + 634700441, + 593080915, + 726308460, + 715340765, + 488032457, + 377980928, + 180098346, + 57624264, + 94704566, + 347567153, + 285369683, + 539644556, + 391756821, + 839765483, + 490497563, + 548928943, + 599003444, + 427583169, + 574957892, + 188450771, + 626950102, + 466792327, + 798362000, + 664567071, + 460952522, + 711663779, + 731800991, + 237964336, + 176285041, + 416369888, + 4811902, + 371781935, + 342373965, + 526734537, + 182525197, + 502545048, + 603679606, + 88271057, + 721554294, + 325714682, + 487609392, + 652514006, + 738087946, + 868034025, + 42095323, + 523696837, + 819998166, + 326586990, + 887181837, + 282184313, + 555043394, + 574333765, + 985659103, + 75896914, + 272043476, + 578467640, + 186783044, + 667756373, + 303681052, + 750168624, + 570328983, + 219074870, + 290923010, + 326701642, + 427682597, + 114765056, + 293460151, + 260504630, + 677079279, + 136799069, + 983649762, + 323244950, + 650334982, + 538198163, + 297197099, + 79550470, + 324411624, + 104250671, + 444079167, + 274272984, + 452337385, + 884351633, + 276438210, + 648970476, + 710233351, + 887946651, + 617260135, + 432707, + 415558277, + 549334312, + 218592370, + 451701990, + 112894421, + 768432515, + 743031143, + 816216242, + 20441344, + 335324430, + 416168274, + 396355587, + 639550204, + 156213013, + 645077861, + 861998967, + 357809780, + 19732213, + 189312310, + 877973659, + 424517645, + 528848367, + 20491617, + 90356921, + 911308032, + 167638020, + 471744547, + 141427407, + 966500949, + 451357804, + 40928490, + 283877779, + 843801933, + 999146454, + 755296802, + 765770991, + 270435468, + 215900742, + 516595976, + 307149994, + 164694938, + 415673216, + 823965642, + 328939624, + 456184575, + 241794084, + 997688795, + 239228966, + 757076469, + 446792919, + 697030618, + 860717887, + 142353364, + 345253514, + 387137624, + 333367922, + 382343136, + 353897647, + 164047905, + 151839930, + 458558305, + 110736036, + 716061851, + 721211157, + 345059634, + 982146594, + 345627108, + 105917876, + 602898134, + 47064089, + 285569692, + 569800832, + 179221649, + 61388578, + 501513428, + 23575322, + 795221002, + 61897167, + 144053055, + 953331385, + 44186969, + 317469024, + 432661467, + 695896867, + 208608683, + 876360916, + 550493793, + 558870302, + 359003314, + 942326196, + 20753216, + 786958411, + 432835606, + 316645705, + 473169149, + 557990056, + 259878585, + 893245072, + 782002623, + 205011263, + 443161086, + 229300296, + 763698940, + 335210098, + 987528918, + 488116168, + 72866843, + 257486222, + 857581597, + 227969005, + 543593435, + 276114744, + 463412339, + 317985327, + 632053938, + 54683420, + 836313861, + 245871923, + 951602923, + 34506969, + 617218091, + 797084729, + 210052371, + 950493172, + 203852702, + 295208819, + 397310424, + 143770456, + 525612819, + 764982533, + 746814756, + 421536763, + 970933121, + 188574366, + 317733612, + 613854847, + 884990256, + 112707046, + 526901204, + 20174694, + 577531537, + 499367341, + 767898116, + 369468643, + 813127810, + 614179515, + 207270520, + 614991490, + 718624615, + 708358199, + 533269592, + 25596282, + 926864664, + 50202150, + 900377730, + 600655245, + 856198576, + 521745716, + 113175124, + 76879721, + 703080383, + 750792369, + 54354237, + 158229527, + 826972470, + 86620541, + 231512828, + 35719184, + 285848032, + 381313012, + 430182972, + 397784744, + 290285431, + 147930931, + 857884080, + 749614548, + 230805231, + 750500414, + 741368356, + 509127710, + 250449003, + 652843003, + 779704416, + 987207096, + 835158721, + 416430411, + 855312022, + 956819922, + 715917123, + 72204936, + 942920788, + 41314005, + 40165625, + 301873442, + 926760794, + 804129737, + 912538096, + 663905383, + 893675117, + 66353581, + 533073677, + 786598178, + 801382681, + 256169131, + 608365922, + 732050880, + 971751166, + 496086158, + 354347180, + 396406029, + 911490803, + 981205104, + 783764430, + 185643897, + 753816186, + 414055342, + 999332386, + 200324334, + 91175970, + 597603860, + 375098602, + 425059099, + 127037801, + 305479748, + 961322178, + 463733629, + 851381816, + 766286128, + 338071229, + 126546228, + 536764684, + 779891875, + 965149261, + 349680873, + 805293306, + 981590963, + 133617221, + 145711304, + 717611295, + 577315218, + 580088322, + 642507661, + 851354295, + 351790329, + 845295499, + 520672491, + 958979377, + 883011649, + 451893744, + 584530711, + 608298560, + 702933921, + 35735590, + 380048048, + 706839851, + 916113857, + 2995882, + 928003108, + 707614588, + 562634020, + 638468944, + 780323649, + 229686680, + 191318790, + 262365354, + 152824907, + 241197789, + 324015943, + 823543821, + 903099581, + 749478660, + 308860658, + 282157358, + 208500181, + 319866734, + 633746609, + 688998323, + 552898151, + 186647199, + 879745896, + 615983645, + 900124210, + 522123035, + 192644410, + 292854209, + 371031081, + 197963206, + 336735156, + 27850315, + 436926620, + 393476078, + 838932336, + 163174924, + 981015940, + 222442984, + 673218469, + 828681798, + 425931436, + 10753166, + 513730984, + 107906718, + 189627153, + 109807840, + 689069877, + 237043119, + 140164364, + 454697480, + 531552405, + 55344622, + 948921201, + 483579204, + 160804612, + 678109401, + 741788538, + 910841448, + 747481925, + 770655095, + 970891811, + 380472818, + 708103094, + 734752022, + 230730591, + 357956153, + 827370516, + 197639843, + 756176534, + 244490907, + 380944695, + 107937052, + 958028095, + 574839888, + 949216965, + 612005329, + 29486519, + 560410136, + 742753883, + 557902670, + 33855007, + 415021238, + 331984733, + 914255889, + 513621284, + 486871405, + 922836059, + 736416147, + 244067830, + 865196088, + 352616712, + 949655815, + 406761668, + 637790167, + 571195043, + 228352096, + 669838374, + 979087355, + 309631908, + 541579609, + 993913770, + 835667557, + 869548927, + 852036816, + 756801256, + 769513486, + 385018677, + 129503778, + 410307686, + 687614385, + 509248084, + 833126123, + 947140672, + 441347616, + 291781189, + 803879176, + 508550394, + 639705140, + 654598553, + 125453077, + 310997921, + 380987503, + 919756559, + 359874798, + 840038576, + 738898693, + 920180799, + 755772666, + 978192386, + 124633010, + 833818411, + 722110167, + 370398563, + 189654626, + 449567764, + 605628064, + 144970051, + 533896610, + 593871553, + 758264410, + 891683111, + 983992117, + 506511711, + 791256241, + 309636705, + 756208008, + 411505732, + 226214474, + 936569746, + 518007580, + 377805058, + 21109514, + 234241084, + 477312461, + 982205995, + 827728157, + 427884633, + 379028102, + 7089713, + 546055320, + 896239475, + 130767171, + 9398098, + 276214540, + 4372550, + 266345018, + 756210376, + 273133719, + 895728944, + 364322660, + 380218439, + 196739442, + 975511089, + 472386146, + 234987013, + 422428022, + 557131588, + 986434205, + 150839948, + 379423659, + 941195030, + 467562984, + 219281908, + 999309996, + 869469723, + 358049298, + 75830726, + 412495991, + 471432900, + 824912183, + 337559659, + 180954684, + 32935218, + 906900381, + 87223350, + 982802948, + 317469512, + 614766643, + 972943366, + 902675390, + 470632698, + 399613386, + 648646160, + 132879332, + 76606226, + 386686828, + 237420607, + 65634409, + 672647678, + 357072612, + 47302329, + 803432752, + 503881102, + 721070545, + 246528412, + 771286641, + 556142873, + 250631187, + 276979004, + 72662868, + 229450146, + 725817839, + 162811472, + 792776833, + 136537516, + 541111601, + 815531206, + 130862232, + 61522483, + 506300652, + 277017611, + 133392045, + 549045298, + 941839351, + 111101917, + 509278170, + 594921731, + 120013364, + 916980974, + 590742366, + 706185040, + 726829942, + 430625870, + 67311630, + 622860316, + 977525558, + 778843887, + 88878046, + 387939575, + 295376451, + 960612686, + 687848413, + 159662348, + 368350085, + 883320801, + 590817381, + 638861467, + 983286265, + 868019301, + 305567690, + 65837794, + 426034142, + 170605912, + 487638198, + 224759256, + 392365940, + 442672107, + 925910478, + 55202163, + 658157668, + 170517056, + 572739976, + 758493152, + 669634321, + 952620677, + 699409230, + 682528442, + 684809153, + 560309969, + 711380956, + 921208330, + 470088796, + 786870393, + 374992763, + 790994853, + 51196335, + 915037065, + 621284154, + 871443864, + 582364150, + 659193104, + 937861885, + 996421422, + 186447754, + 434579767, + 398245414, + 49787170, + 618771511, + 506180380, + 973858954, + 433993854, + 610500047, + 430783206, + 654070170, + 460186941, + 89596185, + 740320376, + 632604130, + 416051297, + 898126603, + 651197279, + 306787561, + 605895844, + 879461207, + 115406586, + 841746311, + 52036494, + 816231293, + 950827591, + 976704133, + 624314954, + 632623617, + 644836317, + 420591215, + 484802984, + 713781307, + 753410294, + 201947059, + 149834152, + 413683080, + 467308961, + 484902564, + 669942970, + 588533537, + 902213154, + 912254243, + 948462401, + 887096076, + 995951367, + 691942781, + 758426458, + 282207013, + 294982209, + 283621065, + 900151617, + 525427826, + 298683475, + 139194442, + 279677546, + 735804134, + 745233451, + 526597005, + 31571598, + 124842070, + 257372617, + 19787018, + 144650860, + 9498228, + 119756978, + 677872555, + 97516314, + 116961418, + 53965360, + 555984527, + 633952548, + 39518381, + 10862546, + 689130289, + 592701477, + 365465448, + 261712076, + 343016200, + 491821624, + 10614421, + 336974512, + 938918388, + 218232405, + 994440509, + 154633452, + 65442284, + 444539728, + 231691712, + 346912799, + 318464624, + 717379954, + 939106763, + 330874142, + 375377299, + 622237746, + 533271132, + 918010420, + 848192107, + 673641086, + 843620542, + 125037337, + 139669001, + 907850210, + 818468422, + 880291735, + 890276985, + 70686367, + 654841458, + 911496167, + 592155098, + 264658713, + 462637969, + 102785578, + 973466325, + 766413303, + 906131303, + 395762989, + 356770764, + 485388122, + 757605420, + 200998747, + 61749296, + 329648083, + 569921571, + 792214096, + 31767319, + 516098162, + 400241649, + 356962887, + 496741690, + 788789882, + 632169825, + 351404910, + 323302834, + 50988672, + 638040096, + 509948228, + 789555593, + 164424725, + 275746535, + 380366308, + 895227591, + 681211108, + 306210514, + 342408271, + 273747133, + 664861659, + 609081285, + 333953396, + 221249826, + 923209879, + 681808320, + 279771049, + 643464188, + 518370665, + 99108270, + 73615477, + 551676282, + 671149026, + 905951958, + 335826908, + 86525995, + 25344208, + 679451044, + 862999747, + 384392717, + 731765786, + 512568277, + 557720614, + 33478673, + 167886131, + 617498305, + 965232735, + 976523688, + 848327979, + 101845194, + 121418150, + 124940735, + 334205371, + 890511073, + 657968076, + 347890685, + 915394179, + 127844287, + 983301781, + 714634393, + 239798050, + 185393326, + 75877105, + 325557316, + 629560044, + 289952016, + 929915911, + 285117439, + 33711837, + 505894315, + 984283206, + 187186441, + 537956696, + 674226315, + 52188017, + 655620300, + 866499822, + 233603473, + 191077678, + 812242720, + 502624167, + 729351922, + 562376952, + 52406675, + 170560507, + 783598862, + 307964838, + 129552262, + 494218743, + 301706072, + 919583913, + 385237560, + 468598701, + 449956929, + 136523748, + 21669073, + 184180012, + 125712901, + 606448000, + 220352341, + 141147447, + 717248571, + 760137717, + 200750523, + 771341040, + 767836068, + 72982472, + 585032941, + 212465788, + 588356602, + 639435325, + 117948839, + 506963762, + 258660274, + 161448830, + 344125197, + 697001200, + 178568955, + 488300467, + 908983863, + 425969393, + 989187781, + 357316644, + 748972060, + 983771976, + 251078721, + 539879040, + 80573018, + 412992147, + 112213226, + 801292119, + 62454405, + 49800964, + 20766066, + 605237874, + 432807539, + 348929471, + 607016881, + 913868058, + 771484261, + 165089478, + 791827224, + 616916364, + 691117776, + 360041028, + 861541741, + 953180695, + 98874953, + 311854813, + 87292361, + 906717094, + 333515024, + 159220399, + 762492519, + 76346981, + 287074530, + 871520009, + 938235174, + 932400676, + 505304517, + 377025689, + 31245674, + 320422759, + 507239784, + 33739167, + 231172750, + 44843432, + 669873635, + 389369295, + 796892858, + 87035567, + 834905162, + 107205219, + 243091404, + 198874246, + 751051736, + 725964943, + 582302157, + 342483472, + 984778762, + 657645058, + 505444911, + 972467433, + 58726968, + 928800042, + 49107721, + 448185713, + 548686008, + 35224026, + 947247875, + 97737428, + 783044116, + 144511943, + 800711874, + 283467033, + 858717144, + 794612661, + 739761623, + 607953813, + 428757734, + 899075216, + 839118224, + 288211373, + 901078791, + 749824013, + 621793571, + 937019300, + 404148801, + 582575386, + 617126581, + 671998963, + 442807944, + 86141702, + 417957743, + 442242536, + 995714005, + 991807270, + 840945109, + 278758115, + 265930048, + 35195111, + 612548250, + 724127720, + 372055509, + 328817719, + 269320951, + 477918782, + 940255201, + 660424529, + 272479241, + 949914855, + 828319726, + 90656885, + 166206766, + 295914138, + 381714305, + 727234267, + 747820219, + 324208858, + 210810504, + 510833921, + 39168019, + 486894459, + 438960169, + 6043567, + 60834360, + 957665371, + 937949768, + 680578039, + 874334167, + 485556726, + 876390123, + 345620401, + 724001028, + 731248734, + 847999848, + 263613528, + 877279388, + 689245934, + 192616418, + 676546207, + 271920507, + 325264364, + 150264846, + 132588342, + 967195595, + 254321700, + 727209483, + 916086425, + 897288698, + 858363012, + 358784708, + 410441185, + 374913035, + 322194900, + 267677220, + 256869087, + 629845812, + 227735982, + 726959577, + 762328558, + 604965181, + 963696048, + 119339068, + 894428054, + 886174579, + 77365310, + 218861570, + 44695210, + 510560066, + 637811002, + 680279967, + 478710279, + 36620338, + 798399069, + 783569797, + 222176580, + 206385717, + 345974343, + 434018061, + 831140699, + 12591537, + 277312379, + 567929026, + 724344501, + 744532518, + 627316148, + 537037140, + 455281232, + 967552820, + 935641412, + 108661016, + 225168713, + 357828473, + 525943886, + 577213576, + 240551993, + 307586548, + 463742043, + 825617220, + 235700626, + 778003789, + 577421288, + 463253859, + 434083927, + 869120427, + 824512860, + 980598123, + 602117032, + 716448768, + 527472027, + 995701770, + 269931932, + 813325890, + 415801387, + 712591304, + 95972444, + 557127431, + 749463129, + 267461509, + 361964268, + 927595464, + 172453196, + 657609904, + 893905759, + 987744562, + 991281514, + 243890980, + 196289223, + 131154991, + 855920234, + 59670267, + 584377875, + 403583607, + 824388852, + 341067071, + 319942097, + 168013782, + 22617933, + 226772846, + 383564235, + 310407318, + 25687593, + 915476143, + 101235082, + 527484763, + 507151178, + 723353343, + 125265866, + 372594950, + 357035462, + 24910223, + 276891579, + 346959973, + 810304388, + 912148206, + 876694174, + 806308933, + 726865950, + 281246458, + 719426441, + 428330680, + 483080191, + 694571071, + 804990146, + 433479760, + 400171068, + 112639525, + 58541536, + 431301202, + 974268235, + 261263688, + 416940081, + 970719795, + 305320288, + 809096027, + 242230863, + 509688520, + 44562697, + 921823201, + 197311048, + 869470493, + 563743266, + 23575482, + 641954863, + 523968708, + 447898244, + 54874030, + 982672674, + 290017990, + 310409058, + 496330559, + 188140356, + 114533835, + 652688692, + 867515487, + 165824271, + 56235083, + 664013452, + 873609810, + 370415077, + 508278825, + 42409370, + 927684900, + 963854096, + 254963920, + 429985736, + 793130842, + 166276441, + 414177709, + 615600490, + 688529898, + 942692061, + 322366815, + 436234898, + 473724141, + 362668769, + 347368654, + 632370485, + 992198558, + 183958496, + 681129945, + 678310818, + 87345402, + 722220774, + 511000100, + 93691228, + 969187452, + 466341116, + 959739199, + 919696834, + 46016233, + 972132432, + 843965627, + 854686336, + 570574575, + 476653003, + 637190730, + 9802935, + 391078599, + 406945821, + 599819755, + 444862305, + 837374881, + 105353080, + 847419213, + 104069217, + 825475032, + 897002037, + 218085293, + 713191592, + 261400185, + 88612834, + 340154489, + 38404672, + 340802290, + 662221692, + 215123316, + 386138781, + 158171976, + 205915399, + 44528806, + 860436107, + 464676416, + 441192090, + 519880977, + 773388399, + 267255666, + 198177585, + 862680761, + 898922425, + 211268062, + 827987056, + 646030582, + 5202313, + 455796465, + 382565924, + 494751524, + 15043948, + 265095310, + 737400033, + 702177600, + 247872402, + 540819600, + 853853314, + 269119425, + 559328773, + 104033327, + 403593589, + 6276946, + 837796314, + 456176212, + 832382157, + 580954821, + 618092527, + 265422825, + 425603157, + 904858436, + 666441218, + 405708993, + 424999175, + 16320312, + 227803425, + 434329047, + 232236419, + 891832693, + 155350803, + 83798073, + 320106016, + 152817708, + 291957507, + 477600017, + 266426733, + 200446453, + 340583347, + 129482871, + 908427074, + 121533534, + 809291017, + 140321173, + 857630771, + 596965956, + 996902531, + 991092450, + 475951458, + 484447835, + 356719067, + 425373756, + 985327648, + 264094432, + 316323936, + 563233578, + 881529553, + 525384343, + 975823266, + 260024582, + 914190868, + 632668231, + 354618179, + 122528312, + 819689964, + 16070054, + 341292636, + 549977880, + 764951302, + 791759663, + 74585299, + 318743875, + 737470236, + 870054828, + 611031071, + 495249183, + 143029515, + 406280608, + 220527538, + 496282164, + 163920873, + 97482156, + 393432568, + 565118769, + 935705097, + 481748975, + 484702563, + 298191781, + 745321522, + 201785271, + 519598368, + 542315458, + 231105058, + 721696943, + 131435917, + 788514490, + 931760806, + 998871696, + 377407005, + 923308926, + 754862951, + 517375695, + 37531454, + 155765150, + 157919682, + 726006586, + 770858071, + 357639394, + 136586633, + 968633647, + 69472018, + 263856452, + 766468715, + 545906460, + 888131232, + 957881409, + 751188432, + 237611461, + 949005476, + 385246112, + 408560238, + 212836220, + 658397537, + 824178548, + 778368842, + 483046123, + 919707691, + 138236182, + 379853246, + 157354142, + 496676622, + 928052076, + 167156822, + 916042570, + 384843901, + 303118094, + 280164845, + 177884466, + 540407171, + 860736697, + 315263684, + 159844051, + 684202291, + 368189445, + 981652770, + 118490903, + 848190025, + 33509730, + 147034517, + 404723935, + 982977794, + 6575537, + 236603211, + 274482246, + 327487696, + 299874105, + 684480745, + 501836217, + 209088416, + 112679239, + 810706360, + 800279930, + 638525669, + 123241835, + 873181044, + 574232237, + 367513164, + 978878334, + 231264170, + 978310186, + 247945857, + 995680594, + 279271030, + 761599505, + 542360300, + 485713521, + 716166265, + 482428663, + 352825918, + 616555623, + 316326878, + 154685228, + 347123702, + 983595415, + 347631623, + 402040455, + 511724393, + 841313344, + 746179042, + 47384908, + 850046291, + 431752752, + 508900948, + 310548294, + 827556610, + 841503591, + 138243340, + 109504356, + 756507993, + 143149478, + 289829822, + 743824066, + 773141033, + 379045786, + 399699318, + 174050426, + 659023556, + 354802023, + 400142258, + 870387367, + 558484895, + 793594152, + 289289173, + 716860287, + 99287050, + 566104760, + 621050858, + 968737677, + 9286678, + 194569962, + 853200669, + 239176733, + 836863664, + 298908844, + 687556763, + 52103658, + 456029821, + 992556450, + 881165383, + 187216789, + 596743483, + 970208628, + 632550627, + 300335108, + 574054515, + 718458455, + 613016418, + 366654491, + 603979794, + 823490250, + 521767945, + 788319387, + 124023144, + 932100120, + 997303344, + 718712824, + 131651236, + 63477754, + 824862235, + 548185104, + 563258383, + 386748278, + 426333617, + 465579148, + 135922212, + 184902459, + 503847286, + 248423739, + 629386095, + 247627229, + 851155612, + 3213692, + 276397511, + 923584945, + 109721175, + 858356278, + 857985155, + 222413139, + 118239718, + 377279864, + 458147138, + 707568925, + 250806443, + 431788223, + 268782812, + 12454790, + 106388022, + 165729344, + 359657097, + 91462362, + 58059025, + 371561980, + 274539839, + 973251987, + 469848676, + 909459248, + 406464900, + 449617826, + 601378772, + 293757865, + 809420996, + 322508190, + 455116150, + 628058320, + 773681949, + 864176211, + 745049378, + 31913114, + 285242219, + 100631903, + 670807571, + 633149764, + 149038374, + 67697022, + 957884170, + 885019927, + 885353939, + 481266110, + 487154812, + 69467403, + 769200162, + 92927442, + 947966248, + 869466520, + 642673585, + 693146968, + 736052730, + 36122708, + 222404234, + 854341588, + 34590618, + 242224037, + 744575842, + 773108902, + 683638165, + 198411035, + 835119965, + 149171791, + 97307964, + 99636212, + 168338884, + 815474129, + 758000718, + 8401984, + 554684786, + 629175248, + 668563821, + 514909009, + 120465656, + 43912183, + 695941568, + 901547397, + 367343299, + 515421631, + 972961170, + 861878893, + 340034831, + 165642857, + 767469497, + 883193352, + 493539676, + 369589477, + 463709625, + 305700411, + 416223766, + 435392017, + 201494210, + 737020501, + 396217022, + 165932836, + 360372300, + 530688241, + 750351641, + 71265309, + 638241335, + 725389754, + 47964576, + 176542909, + 374952730, + 904637825, + 298243196, + 806103369, + 972469260, + 635369482, + 142914624, + 564172056, + 734815605, + 346581310, + 35691953, + 353092445, + 353898784, + 23540850, + 28718, + 424798251, + 958973541, + 980886438, + 775579219, + 489498761, + 385242608, + 498326857, + 959141090, + 475967884, + 716748966, + 290005446, + 295185096, + 968875408, + 890984899, + 941802898, + 717671621, + 515582758, + 745442814, + 804950924, + 652589608, + 310576689, + 950755742, + 583534268, + 109350503, + 898010212, + 399926441, + 547435010, + 570893268, + 556810156, + 524645391, + 567097554, + 784109423, + 141206726, + 561925838, + 896751957, + 725892804, + 299950571, + 144065904, + 862603212, + 625188461, + 778991009, + 969376031, + 988824975, + 911780770, + 199181448, + 887258140, + 570855022, + 795527087, + 274788179, + 568950446, + 465475912, + 537445235, + 843159615, + 769964194, + 266551735, + 79227977, + 549590593, + 123554100, + 242949547, + 646825547, + 49339445, + 411713125, + 913863128, + 755951191, + 8218741, + 698587729, + 981992503, + 459054941, + 608496525, + 739694388, + 631934345, + 202341792, + 590939722, + 270422032, + 836204283, + 669871216, + 102769184, + 157156748, + 313858923, + 480781579, + 114187897, + 645888225, + 541102180, + 789160594, + 451471655, + 4060879, + 548127564, + 720906368, + 278171895, + 872537673, + 664972776, + 468566971, + 787417352, + 199187615, + 531143323, + 450297193, + 122006420, + 471414576, + 679701625, + 492222692, + 810419631, + 897801394, + 126852766, + 607682448, + 48468784, + 911957931, + 827603573, + 242979621, + 887344563, + 332521506, + 17850357, + 586431462, + 36688826, + 409913292, + 907216388, + 982942912, + 165544121, + 803478317, + 402858233, + 641561103, + 287246871, + 708043565, + 219032040, + 276396115, + 570130781, + 333333520, + 570183283, + 835135129, + 913099649, + 696979695, + 850264952, + 447800758, + 659787336, + 818896009, + 819509818, + 545462610, + 389746798, + 501076962, + 712257437, + 766617878, + 854967464, + 408580069, + 848458761, + 703212719, + 367405729, + 165409075, + 882898801, + 576907222, + 745172753, + 536798735, + 718844822, + 584087000, + 773491223, + 336933552, + 812810257, + 944333585, + 696583528, + 954347361, + 100707279, + 44699249, + 856659467, + 918711568, + 816570598, + 261600758, + 884399751, + 331074471, + 880098966, + 917881173, + 42872016, + 136590917, + 548449679, + 217073024, + 372825789, + 23197147, + 709364524, + 970025986, + 570421076, + 222103953, + 10784865, + 657730144, + 336789282, + 578584206, + 503703130, + 889850857, + 116102054, + 95559709, + 133695080, + 802050293, + 957969466, + 795182850, + 126474473, + 435184832, + 146285215, + 985870390, + 932616177, + 856168231, + 112721485, + 67552184, + 104846341, + 19524885, + 975681429, + 259912916, + 974067053, + 281207654, + 627189101, + 536668229, + 192480185, + 439348407, + 490192215, + 264384099, + 665617633, + 947324199, + 804165028, + 357889219, + 933864378, + 473822830, + 959641909, + 887702478, + 404843415, + 743516297, + 862255670, + 806962546, + 326186784, + 275094596, + 958981574, + 184710520, + 266678898, + 720090435, + 240245789, + 221554559, + 44648690, + 57221537, + 571386582, + 145926347, + 475665645, + 217977202, + 294434208, + 1000556, + 878690996, + 982560600, + 382658818, + 821382914, + 900321573, + 893387899, + 776554701, + 852708386, + 167738329, + 345882832, + 822660958, + 8550088, + 692558077, + 535534860, + 622468226, + 739755324, + 137002878, + 501740752, + 208149620, + 409522998, + 792416080, + 125577315, + 215217632, + 171486326, + 853305859, + 680629663, + 570048808, + 107207630, + 212546001, + 259848439, + 485622170, + 66728976, + 171267374, + 747204922, + 851980099, + 412044440, + 396600081, + 871070501, + 474463314, + 308748402, + 18852292, + 270249962, + 832594899, + 540706493, + 459428993, + 538662586, + 574172508, + 248396029, + 808184926, + 760794306, + 957640140, + 586385949, + 647217396, + 180793807, + 660186119, + 616809724, + 86567255, + 805639306, + 342464845, + 460158168, + 384090456, + 459732530, + 58726460, + 151334945, + 252806686, + 9413074, + 429028486, + 381107239, + 720193856, + 571400168, + 334919714, + 936388409, + 71642427, + 499900881, + 104455259, + 772008100, + 980935349, + 379456361, + 693744247, + 132936197, + 258534885, + 578821958, + 189137677, + 640271217, + 422990297, + 832468299, + 677399995, + 754046702, + 52025212, + 819154278, + 143218648, + 212521900, + 878508927, + 784307357, + 342346513, + 350230339, + 1541877, + 510213478, + 834153020, + 41852535, + 881033414, + 215089344, + 165562066, + 34195428, + 449294949, + 748207596, + 235702037, + 221458330, + 196602435, + 303059289, + 111330286, + 63028018, + 481599499, + 364661949, + 997115167, + 476786255, + 888020177, + 40553467, + 214767562, + 787933337, + 998443336, + 596515537, + 536117784, + 348164066, + 534003406, + 554104286, + 248552438, + 287220012, + 187214619, + 808705393, + 557394046, + 505804040, + 940929403, + 358069326, + 268782549, + 223189889, + 377094472, + 813379186, + 369199814, + 923311866, + 220643525, + 61659886, + 887356576, + 360226010, + 471354275, + 219650345, + 175854558, + 214489840, + 981526259, + 731984674, + 379741610, + 35941470, + 746069062, + 414763430, + 247656694, + 710541619, + 833196192, + 801542093, + 737128951, + 3405972, + 340043651, + 35576087, + 158606056, + 274764426, + 76602329, + 503781531, + 424150449, + 81919257, + 160709731, + 330180283, + 490554136, + 64903404, + 89330712, + 677476146, + 192651700, + 198261297, + 721037544, + 237038674, + 719368575, + 138102910, + 214098294, + 141488700, + 790841095, + 958072328, + 890756275, + 759114536, + 393202250, + 310312265, + 278559250, + 494379670, + 70653635, + 987299098, + 338210897, + 54573434, + 715029911, + 108018437, + 970971832, + 979384006, + 631161989, + 335344023, + 113926385, + 927192405, + 66118048, + 984450482, + 378541734, + 402360132, + 394647725, + 574303488, + 882832810, + 169713763, + 599444812, + 527677230, + 328829274, + 862328498, + 329891960, + 757993183, + 631187618, + 826028845, + 651152408, + 293871820, + 23820443, + 844734576, + 592040655, + 907282711, + 167084140, + 985796347, + 623908897, + 195027418, + 746944339, + 176027694, + 943902823, + 633054325, + 724825691, + 514281387, + 951814150, + 39638840, + 761365014, + 286632256, + 220532155, + 436896180, + 234859567, + 157397662, + 923431898, + 701825971, + 321163988, + 297419174, + 379156598, + 602010204, + 993075887, + 357854539, + 204332446, + 767814778, + 679746544, + 369383406, + 17004920, + 852106715, + 125603561, + 146594146, + 271078245, + 878228830, + 847932528, + 231397658, + 133265059, + 788849456, + 382209386, + 388241140, + 596187568, + 370905840, + 131578117, + 985862068, + 741365615, + 433221929, + 750815029, + 533468383, + 145067501, + 779309059, + 667900401, + 851577210, + 416940039, + 992844517, + 880933051, + 177094443, + 699248049, + 573610680, + 773395271, + 666406173, + 771406361, + 688263526, + 371832544, + 932759653, + 624326480, + 708309925, + 410528586, + 10714641, + 129479984, + 639621718, + 893425627, + 3714651, + 63010595, + 120830609, + 74589909, + 137962743, + 756894618, + 719411601, + 530606738, + 974457984, + 645448440, + 490277050, + 475048515, + 343557346, + 431136010, + 503203796, + 525492313, + 550084382, + 56946569, + 312756056, + 612573807, + 516883431, + 884704482, + 34205611, + 182589922, + 169051347, + 354267342, + 990266902, + 978451169, + 84017101, + 333021681, + 26077586, + 94782634, + 832647603, + 8593248, + 368183402, + 153034738, + 255822434, + 581063224, + 923198485, + 878629787, + 823283739, + 87557219, + 834096950, + 836092579, + 232540856, + 630783434, + 192921569, + 162416942, + 607774404, + 355020294, + 65302049, + 159116742, + 490431921, + 360123900, + 851224969, + 124513058, + 376989026, + 785086985, + 527255559, + 213468829, + 732901285, + 142582436, + 381498496, + 549213237, + 625519157, + 101833185, + 851749836, + 304273739, + 927993567, + 17415440, + 369103004, + 283915938, + 327616221, + 310751126, + 294525860, + 901698370, + 986442782, + 459024508, + 684826556, + 668241171, + 615107324, + 711518947, + 475622480, + 939409251, + 556576397, + 22941611, + 952898471, + 709191774, + 890981381, + 730932662, + 128302101, + 674219807, + 434588322, + 90988453, + 298445808, + 754573374, + 752780501, + 512784202, + 222766658, + 366330042, + 101327584, + 288399158, + 315987315, + 614860366, + 781675333, + 221351195, + 317732963, + 839526568, + 7478759, + 42433496, + 784546372, + 79851701, + 745680229, + 897733828, + 661819230, + 946734617, + 442749894, + 233708607, + 139432000, + 787671339, + 171749968, + 349294767, + 57744762, + 614542085, + 275389466, + 501905979, + 387590557, + 188458098, + 304930418, + 446497563, + 243666958, + 496937048, + 494570841, + 265147494, + 883684813, + 87291710, + 668825958, + 830191807, + 478849539, + 732748512, + 775864361, + 389129597, + 411076348, + 567517818, + 461382583, + 487216002, + 154152343, + 494430592, + 145637982, + 151861159, + 894817857, + 629596392, + 884729850, + 605261406, + 373474851, + 403906977, + 93551635, + 285534607, + 898465285, + 375819421, + 918276349, + 516993110, + 23495003, + 496147704, + 969180966, + 906340624, + 786361214, + 703466773, + 794907939, + 817172063, + 860320689, + 853181729, + 540880371, + 849708088, + 686540052, + 560239001, + 44982166, + 285555058, + 954523382, + 310176542, + 453436456, + 493666779, + 107181628, + 700689008, + 106875519, + 166644453, + 89236258, + 396109078, + 404825345, + 844059277, + 667206210, + 231257890, + 990775321, + 667173592, + 361965547, + 429819063, + 850969303, + 6773773, + 186474188, + 695957122, + 807378882, + 266942706, + 175684766, + 64941195, + 123638451, + 38472501, + 99445075, + 4490830, + 791344751, + 688029186, + 235422816, + 679246415, + 976096826, + 55358734, + 820229065, + 593675715, + 71179407, + 880620106, + 632711220, + 445437871, + 118122175, + 20713820, + 679020939, + 586778742, + 452212170, + 658780578, + 965121495, + 650781520, + 234051892, + 341459992, + 554556507, + 13199193, + 318311096, + 302644962, + 283890783, + 1228935, + 157015633, + 491578834, + 259857393, + 533330737, + 265673477, + 654572800, + 742970685, + 934430897, + 703512306, + 701322495, + 254610808, + 346732148, + 332337796, + 607301575, + 409813286, + 966944873, + 542599361, + 906779699, + 811845131, + 279776807, + 599609316, + 570259075, + 681710559, + 369479264, + 774534558, + 821126399, + 833806206, + 893653786, + 761181029, + 469905307, + 385588411, + 9356635, + 341470629, + 838924198, + 750770396, + 618843651, + 97225757, + 884096244, + 556184919, + 560389907, + 574870566, + 397142354, + 960153864, + 540551823, + 123302825, + 572356052, + 256553420, + 632306169, + 127931026, + 716941002, + 347624921, + 201623428, + 370205530, + 556424589, + 953340340, + 215943549, + 768492924, + 865569851, + 531675643, + 499923227, + 929509759, + 745147853, + 509455022, + 806130858, + 627388795, + 934509478, + 330383349, + 523241216, + 795205541, + 890066092, + 292134984, + 559662803, + 143496690, + 41426042, + 845566055, + 311044510, + 979190646, + 556116651, + 763182676, + 846470052, + 523742680, + 685991769, + 342666102, + 353862793, + 310268389, + 324704861, + 248522546, + 563237688, + 624163467, + 244658585, + 710155394, + 236825599, + 44828619, + 865010628, + 211437817, + 207849550, + 801617176, + 469600429, + 100954313, + 330455082, + 74344335, + 537619389, + 62568311, + 829975012, + 119875899, + 502813665, + 54469436, + 696833723, + 184933527, + 145931055, + 785196795, + 576560722, + 207054704, + 987118638, + 918721571, + 903284597, + 635007684, + 32376320, + 158582284, + 935431231, + 740494774, + 709921183, + 125282021, + 734469339, + 502305550, + 358619632, + 588367885, + 378999869, + 229784330, + 482908288, + 200015583, + 917495282, + 927948162, + 608034697, + 808431135, + 527077222, + 162543765, + 389950857, + 245601267, + 249715419, + 693027971, + 190580856, + 529089171, + 955684526, + 30761537, + 938337593, + 788577458, + 549209636, + 827045404, + 122308318, + 620861323, + 971676255, + 416840020, + 294457424, + 524558544, + 556815065, + 630892050, + 967268905, + 646360522, + 429093749, + 273629798, + 491769510, + 776972562, + 7734440, + 487016701, + 464277815, + 610398444, + 170422712, + 229016657, + 714740048, + 969069237, + 80291050, + 417641256, + 952187770, + 749983779, + 648689790, + 971140131, + 951554088, + 110361135, + 366812247, + 670286064, + 351934350, + 610789935, + 892359063, + 659538584, + 809272917, + 656853450, + 834218956, + 318381406, + 421005852, + 413973609, + 964864024, + 916374071, + 48815337, + 956932078, + 298839761, + 35653598, + 993186141, + 487819763, + 266278852, + 792289374, + 65889596, + 534911118, + 683820678, + 310945474, + 369513047, + 816802574, + 930482893, + 282430064, + 218572025, + 673462611, + 247612459, + 684708154, + 572468102, + 78534906, + 779316880, + 507584866, + 241685928, + 164169297, + 925984571, + 174048503, + 725036003, + 63721295, + 23128493, + 632477591, + 323650721, + 695154822, + 194815714, + 933300586, + 98743115, + 596527852, + 794127852, + 174663265, + 26675663, + 577862324, + 434246016, + 475233835, + 849652896, + 337638356, + 755871629, + 378866778, + 279433078, + 458464603, + 235726524, + 689767644, + 663552183, + 479240095, + 743699136, + 1551776, + 279898168, + 501372710, + 374933359, + 826435099, + 8175993, + 890212870, + 68744776, + 973300857, + 677629842, + 88200270, + 933487038, + 762800394, + 782106240, + 151044457, + 533720302, + 799661973, + 397849546, + 88133299, + 856166069, + 590641145, + 938138799, + 552221599, + 856165278, + 106746042, + 435431789, + 887586851, + 274130423, + 301977160, + 282110657, + 422720366, + 63100393, + 836615808, + 52153984, + 683905059, + 144404794, + 331665548, + 915011335, + 105012790, + 447454686, + 357783838, + 875737347, + 853022616, + 609779392, + 954358568, + 828758691, + 919695041, + 821980278, + 719841089, + 513058110, + 500117508, + 691134165, + 111958252, + 260657777, + 47521105, + 576190368, + 11416701, + 498700255, + 525863304, + 187271885, + 695854420, + 780001328, + 474696969, + 660336750, + 976279, + 936448695, + 336923507, + 995705773, + 740731110, + 91954536, + 46524664, + 547873000, + 731668621, + 574726627, + 53508645, + 580644244, + 504400694, + 355885033, + 212200417, + 292060053, + 721009357, + 604932419, + 828091150, + 442201412, + 957751886, + 456865160, + 474264098, + 942382573, + 724048394, + 567218207, + 596139930, + 967007667, + 6976490, + 481022909, + 992658387, + 744364349, + 782509587, + 154080186, + 491415374, + 211057430, + 988623305, + 150094915, + 858625639, + 553935388, + 173781337, + 758264515, + 797758048, + 847819239, + 139204073, + 84946734, + 798288654, + 183143418, + 292591740, + 634366539, + 905776888, + 567587532, + 28774873, + 861809891, + 247948385, + 209496849, + 735476781, + 919054970, + 917666215, + 384789988, + 9405156, + 310680777, + 720327586, + 472862776, + 767167017, + 747931361, + 549003538, + 631150854, + 973701016, + 180281488, + 616568088, + 90667890, + 679572702, + 559637559, + 583057280, + 398005624, + 551840589, + 356926652, + 789186824, + 405464848, + 15855738, + 516904191, + 931856246, + 138626346, + 947532730, + 160004293, + 586485329, + 337827731, + 249529441, + 274382660, + 940941230, + 374608875, + 796114469, + 109815469, + 255424270, + 209459078, + 721260654, + 804775505, + 743419612, + 940965880, + 813683566, + 785512948, + 477500721, + 443873003, + 997970841, + 547656156, + 501144940, + 44044120, + 279860481, + 354881895, + 67974289, + 469155118, + 646752721, + 112881596, + 336464623, + 914370859, + 541329107, + 452319818, + 981186137, + 76415342, + 866394731, + 647347225, + 657613976, + 770247281, + 922442524, + 523943271, + 154817027, + 829453276, + 341631851, + 608260265, + 261958915, + 884099235, + 694750566, + 399062646, + 55218908, + 474919318, + 368407786, + 612370865, + 196261766, + 562103499, + 394263241, + 136041586, + 50700713, + 104487259, + 15643690, + 243739335, + 333577808, + 864834510, + 760649220, + 782472408, + 559317505, + 578147399, + 232975951, + 949630153, + 946609233, + 239169302, + 805474850, + 756450437, + 870746657, + 53599790, + 883074342, + 978572656, + 949544208, + 810415210, + 232493696, + 287063042, + 243810909, + 560083151, + 692496045, + 774535598, + 886547501, + 594208752, + 19574102, + 387866859, + 998638168, + 444421985, + 56718857, + 201937506, + 411609663, + 431426699, + 701971109, + 588504082, + 521227883, + 288287516, + 701295201, + 739013258, + 128260857, + 157937036, + 2010706, + 204934616, + 439544293, + 897335874, + 925992026, + 614992827, + 704147094, + 31292326, + 492336414, + 496741569, + 474654476, + 673289472, + 780264004, + 554125649, + 608139985, + 910533551, + 462689313, + 427302618, + 991952813, + 597279719, + 802119662, + 680409240, + 661521314, + 355510685, + 479405186, + 169634660, + 377796466, + 681215581, + 868204754, + 701301770, + 253489987, + 103958717, + 701991666, + 470932786, + 718332831, + 533644680, + 889126107, + 118427686, + 437674136, + 560875488, + 870552891, + 681471823, + 312454442, + 983972702, + 335926877, + 709383622, + 696312396, + 830298633, + 915267542, + 865016947, + 151504467, + 767067373, + 135607095, + 854146658, + 812297810, + 234009625, + 641652256, + 33493370, + 964453271, + 680177852, + 328632033, + 597693601, + 825374583, + 129698432, + 250016781, + 173471724, + 821215868, + 220923948, + 341339895, + 614249027, + 163370239, + 865736103, + 908205791, + 689752686, + 416535782, + 283833081, + 311280613, + 816065217, + 796022191, + 8261439, + 893252687, + 156737660, + 117972525, + 616978539, + 384275684, + 610460554, + 187400435, + 987124637, + 55644850, + 699910867, + 17798292, + 799048448, + 785729311, + 195410061, + 916944281, + 394164138, + 61242258, + 136943995, + 344282091, + 528517552, + 936372020, + 907043818, + 526152330, + 889409042, + 462583088, + 196058575, + 730454168, + 627453206, + 451806947, + 217546901, + 726916522, + 706468262, + 977833796, + 403505682, + 393180594, + 409376252, + 96619979, + 646818252, + 759042070, + 440010399, + 26308652, + 411545709, + 92522462, + 63062851, + 588991652, + 605243743, + 168193572, + 457306881, + 784347270, + 467008195, + 312875941, + 464375563, + 512129654, + 811206820, + 832124657, + 801343610, + 749240671, + 833980918, + 949514338, + 888364692, + 659916832, + 319931532, + 446011569, + 128937992, + 876449682, + 537823053, + 863707177, + 778742945, + 18306368, + 350585057, + 845788762, + 306685906, + 438218788, + 462850061, + 536750675, + 665252813, + 99691739, + 776023518, + 182801723, + 342832160, + 574007435, + 671000306, + 462024901, + 795626555, + 302240773, + 769196176, + 896328332, + 94706012, + 898460771, + 181064708, + 687646575, + 152662523, + 696499801, + 40703024, + 607033206, + 164843429, + 725958153, + 774477278, + 92262644, + 781547125, + 823444984, + 743007169, + 213759787, + 280052686, + 720085456, + 209839653, + 873121446, + 422160085, + 829344107, + 838121484, + 354665639, + 107493385, + 964756622, + 535166902, + 303477351, + 211742814, + 772749777, + 698034051, + 157071044, + 804407641, + 427675637, + 785942803, + 949415464, + 154127114, + 30098708, + 749287282, + 188353078, + 898485691, + 144634957, + 692241844, + 718007256, + 516150208, + 912727040, + 571568107, + 579986861, + 246304731, + 840055097, + 650322180, + 869430374, + 455700030, + 386299014, + 899100048, + 702791154, + 859972151, + 921975412, + 766146299, + 123679859, + 234935742, + 875254790, + 77814264, + 398949811, + 907223173, + 793925867, + 756964770, + 814758421, + 938357067, + 896338412, + 178348049, + 873969024, + 994140536, + 820357558, + 240252064, + 488306796, + 590861819, + 892445763, + 178678957, + 98483017, + 925591378, + 112531289, + 51571533, + 695073544, + 891838944, + 966463330, + 787354041, + 728225907, + 43071244, + 858465760, + 130244035, + 980887407, + 379789115, + 338919195, + 195982898, + 905236641, + 689670931, + 64769482, + 232547789, + 464460119, + 987700239, + 631841976, + 84386232, + 538496526, + 389551239, + 470484674, + 460146738, + 109407787, + 151104974, + 823283777, + 764441227, + 90920845, + 46221725, + 237076013, + 351973006, + 7903460, + 987811492, + 502815862, + 663466929, + 437757438, + 930587838, + 453307935, + 558648753, + 454087112, + 352255142, + 951963038, + 975148548, + 319965736, + 442562334, + 493703645, + 831867658, + 378346829, + 504580909, + 213407439, + 767892112, + 917536618, + 626391451, + 457874303, + 807026671, + 929000092, + 983713274, + 326151518, + 143070111, + 538243030, + 533371242, + 795133057, + 558409093, + 830612607, + 369442831, + 755017518, + 833507695, + 975248272, + 250299487, + 791211489, + 140254936, + 287005262, + 848219658, + 91274008, + 626150658, + 874929966, + 962532441, + 956002451, + 406009986, + 423813439, + 81743332, + 228094661, + 423469579, + 345001700, + 70560160, + 368426159, + 768975562, + 236393880, + 348357000, + 224701291, + 545543681, + 692955476, + 460709, + 742113784, + 895559538, + 164905151, + 788033458, + 302851936, + 374069328, + 481155426, + 330495016, + 41780555, + 404184867, + 972005894, + 520087309, + 997660400, + 935571478, + 604174982, + 722295443, + 483990398, + 647866467, + 950706706, + 547307078, + 567834046, + 578884376, + 499352220, + 897515918, + 973294927, + 750905718, + 113014535, + 421666852, + 73428360, + 147020467, + 427371985, + 479871569, + 209565897, + 584103778, + 737151119, + 682485184, + 353372796, + 524977646, + 377432209, + 628509911, + 274204113, + 516880141, + 896802397, + 745978046, + 613939662, + 131948140, + 151118714, + 91677207, + 308222504, + 182951039, + 243551083, + 309993029, + 175943503, + 800754446, + 671924585, + 614107503, + 975067455, + 112524705, + 665209749, + 764174716, + 720894773, + 828701220, + 262932296, + 592111389, + 716105955, + 222843637, + 774751547, + 831119407, + 657403416, + 629690869, + 279743355, + 434102277, + 198077782, + 247588480, + 504341100, + 880650505, + 943225266, + 689938807, + 821271575, + 250564788, + 845814816, + 491971751, + 72512596, + 286749860, + 415806025, + 514721878, + 114336826, + 487835836, + 469078553, + 485444551, + 369065415, + 993424357, + 435842106, + 236429485, + 695964642, + 94793882, + 46686284, + 413864990, + 230848657, + 494851051, + 493078759, + 556685490, + 968983290, + 699597989, + 586650677, + 420506989, + 183664468, + 92383573, + 143402097, + 174364449, + 63809687, + 710431114, + 608307860, + 665338706, + 552031992, + 428357134, + 700532311, + 925087343, + 432607249, + 308410791, + 873803508, + 110742232, + 211584121, + 638091092, + 149861068, + 821773925, + 360978187, + 962903730, + 210638870, + 694405369, + 129939290, + 573431044, + 967924742, + 995542745, + 6365403, + 696370699, + 767041697, + 841764373, + 428526787, + 495694144, + 21515924, + 830153345, + 700372964, + 747994226, + 632241784, + 638927930, + 450864013, + 522836496, + 300412698, + 850360354, + 471572092, + 11259953, + 21908912, + 1313369, + 237207033, + 699301647, + 823399357, + 717143708, + 889946592, + 572492446, + 198217297, + 244845101, + 256429795, + 94095038, + 704341354, + 165614294, + 141063919, + 546618388, + 831246815, + 170172517, + 116820845, + 947685984, + 374661840, + 209882153, + 974718059, + 911350875, + 725704363, + 432492916, + 139114436, + 335170019, + 302505017, + 829090549, + 227548976, + 247429891, + 107271139, + 880901941, + 228810456, + 418389409, + 797348677, + 797109494, + 165607959, + 557019439, + 25536870, + 33392691, + 227340845, + 286120848, + 301484778, + 325885666, + 698958846, + 451238547, + 273868253, + 955387944, + 429334559, + 209893223, + 182490461, + 906866272, + 987718328, + 8231629, + 881799857, + 59884538, + 661231067, + 997338626, + 730195496, + 377155730, + 849223164, + 221132793, + 795191699, + 267049092, + 419669233, + 704585374, + 468550177, + 670580605, + 716132547, + 193661728, + 317210060, + 218821517, + 110844683, + 265758222, + 118913563, + 933255475, + 744647765, + 911877215, + 749917316, + 941146550, + 660297618, + 721068745, + 620503634, + 415609664, + 289644162, + 678055198, + 880252821, + 44055116, + 459515403, + 233039203, + 482160961, + 200314359, + 196507663, + 187878148, + 226564697, + 492252364, + 633458514, + 940530100, + 136881998, + 590143999, + 263908731, + 383292279, + 199931650, + 643888338, + 438678960, + 452620567, + 73270510, + 386136594, + 172261329, + 713051932, + 437151896, + 44322318, + 266597318, + 998283624, + 61955781, + 826463668, + 692682752, + 522518368, + 605472634, + 972690868, + 854495675, + 447488749, + 450910193, + 469125622, + 635138902, + 684423148, + 770628567, + 900009795, + 122529139, + 59467301, + 189454664, + 12882652, + 965152198, + 163420181, + 165792122, + 18901476, + 544263265, + 396973680, + 602578240, + 679333377, + 388733766, + 794429378, + 27006630, + 262015145, + 895629665, + 853513915, + 379928899, + 546069586, + 303639690, + 717186156, + 276679197, + 248374856, + 8462663, + 369949531, + 917818545, + 648940028, + 636536462, + 625472149, + 124982214, + 128795178, + 466634814, + 702594051, + 50608768, + 383901531, + 902192348, + 230111025, + 528089232, + 506480715, + 641852101, + 664436527, + 119938701, + 576750808, + 262235328, + 975872791, + 482345373, + 274556454, + 371234759, + 245580968, + 498990393, + 738390637, + 780324895, + 36792311, + 275363734, + 3811362, + 204115683, + 325378682, + 311846876, + 866180406, + 483750228, + 907662883, + 493513010, + 210458129, + 494190226, + 312031004, + 496645993, + 736065398, + 810833745, + 812267613, + 431780287, + 565931855, + 393035662, + 908744240, + 528948335, + 91973186, + 236173487, + 191686020, + 349138829, + 47211774, + 183895004, + 679483208, + 692386655, + 37535971, + 988761504, + 576256392, + 226226067, + 311822155, + 78533580, + 588986170, + 507197361, + 843548772, + 374860197, + 371925087, + 833219135, + 744512181, + 237534049, + 142199972, + 630243599, + 642491605, + 675899711, + 821922142, + 537635081, + 630104993, + 275893426, + 779363556, + 922188385, + 659097791, + 66771311, + 736766481, + 508974570, + 466304410, + 698148847, + 650538937, + 880730329, + 572267887, + 520693728, + 932745177, + 988843851, + 620218350, + 90802953, + 994806785, + 323008981, + 516300071, + 583229270, + 712291531, + 878784571, + 813387634, + 674852724, + 224928063, + 100714997, + 999923608, + 219809889, + 714013024, + 823941040, + 63523896, + 53113439, + 5014811, + 745233489, + 571381398, + 22941446, + 812036071, + 478401094, + 571337350, + 726815561, + 864040882, + 218295386, + 106895782, + 930338817, + 795586948, + 345223859, + 459304198, + 708585723, + 260168432, + 183143942, + 216511232, + 591610642, + 715107604, + 774170046, + 130447626, + 956619532, + 512126588, + 174514311, + 964547351, + 784128931, + 501349861, + 876213271, + 449714378, + 219644239, + 216659144, + 922012653, + 53276300, + 137132020, + 981013755, + 742872920, + 941451064, + 218422675, + 867348142, + 744946817, + 361025736, + 363776180, + 271276164, + 440085626, + 792318510, + 628021658, + 569891713, + 360404481, + 190007327, + 619416960, + 588061164, + 931521868, + 308554222, + 152966718, + 612016748, + 486621939, + 788976107, + 669829673, + 969432859, + 635461457, + 670090410, + 147578540, + 230993204, + 995748921, + 718376399, + 620667654, + 924448321, + 39605413, + 153278446, + 53567549, + 854336123, + 272218857, + 516474611, + 219394229, + 395132938, + 141717138, + 561916258, + 600896755, + 172340670, + 117738784, + 90790698, + 683144595, + 492379513, + 308894896, + 355066351, + 943294839, + 907308398, + 78742926, + 492361462, + 88591593, + 446868611, + 393094008, + 878331835, + 89094382, + 9447908, + 624311765, + 504804114, + 928323940, + 940144033, + 592136682, + 732502437, + 633544079, + 138221072, + 692009296, + 428868800, + 892105329, + 330984666, + 511201186, + 543217166, + 865164625, + 246758637, + 33703174, + 812458928, + 209655781, + 375728763, + 496544109, + 325504987, + 553555796, + 798781383, + 316313223, + 839041212, + 20646568, + 702970859, + 605498798, + 184885416, + 50628202, + 135693160, + 517523570, + 432863173, + 749884529, + 887804110, + 604583571, + 374772341, + 278603687, + 210501610, + 725444989, + 942633080, + 261633069, + 548539077, + 425764466, + 135621009, + 133245119, + 531612480, + 880936364, + 112625887, + 602116730, + 288392508, + 816841335, + 272052165, + 115693144, + 826392907, + 471386275, + 294666288, + 421824407, + 816592849, + 330958731, + 787762396, + 959274247, + 527559904, + 642793867, + 950778422, + 446392171, + 506292001, + 703738918, + 553055641, + 183442711, + 265839343, + 30278171, + 293790729, + 845316708, + 561245965, + 768138623, + 451408575, + 874635574, + 264969638, + 67097457, + 377827442, + 198795189, + 239304805, + 544453698, + 962645034, + 183271016, + 861836397, + 845256116, + 967949828, + 435015295, + 12516562, + 955266694, + 987264080, + 678582307, + 690383812, + 777539453, + 636239746, + 497764238, + 87263282, + 753028963, + 814942575, + 220585102, + 455860359, + 114201980, + 25830580, + 843746705, + 225858179, + 878176470, + 80679080, + 453216424, + 509682769, + 166610764, + 539757893, + 827963066, + 682258094, + 578750162, + 193893998, + 780082397, + 880798840, + 743143682, + 125825848, + 447834695, + 721968840, + 770530464, + 81867226, + 865553081, + 504978664, + 166215602, + 585563758, + 864551832, + 912562499, + 281293140, + 879277896, + 574585651, + 826889156, + 703380298, + 217371669, + 991866910, + 356115874, + 487503192, + 107481002, + 782704156, + 126868909, + 835932298, + 510149640, + 679804107, + 503174169, + 562786774, + 376309229, + 283517876, + 349748943, + 632350465, + 278763012, + 503121771, + 833143794, + 917908247, + 815015931, + 29645062, + 587284319, + 501463681, + 350630191, + 302993741, + 449326699, + 739466872, + 67612954, + 633601661, + 64126066, + 579062039, + 122043560, + 859615155, + 923239637, + 317730916, + 583110547, + 959056967, + 6696303, + 599991249, + 991274886, + 928607870, + 518187618, + 47029686, + 839937829, + 567988102, + 434793665, + 114310245, + 655340521, + 279985382, + 393709510, + 258003678, + 901678811, + 784295642, + 116379281, + 420438555, + 855689819, + 431526050, + 673352530, + 154923141, + 522570812, + 553848666, + 324889945, + 601225170, + 659240559, + 567268825, + 214095048, + 549477675, + 327819778, + 313797624, + 649700313, + 73153647, + 943877686, + 14493823, + 396668670, + 905884513, + 728970362, + 297784971, + 347817718, + 682022348, + 658190909, + 121517784, + 987540280, + 870656749, + 778824091, + 175427814, + 656208873, + 351700906, + 595506275, + 2070877, + 975771533, + 479710506, + 800807274, + 753782249, + 21788844, + 606228205, + 437471154, + 567606100, + 235158929, + 383281708, + 128254023, + 698346411, + 169631940, + 715887120, + 715968222, + 605442399, + 572491598, + 270574340, + 381776241, + 612745608, + 696897128, + 934306932, + 267597392, + 501321029, + 223849150, + 329628142, + 988806196, + 206314977, + 233419262, + 971670410, + 52817118, + 185308448, + 810213576, + 297763240, + 109952652, + 83357389, + 257541243, + 894846897, + 593154657, + 884112040, + 188485032, + 606951943, + 546798849, + 121258489, + 136290603, + 371328349, + 640235814, + 749957201, + 594046220, + 952049918, + 330697540, + 591061718, + 525448770, + 68567384, + 461838924, + 381122289, + 294643352, + 119837678, + 98396029, + 919060553, + 579703749, + 324970243, + 773421187, + 40636308, + 997546032, + 501545286, + 438382465, + 125671313, + 857160042, + 353834660, + 830847496, + 213300937, + 524174516, + 750146834, + 744572991, + 36140723, + 642204288, + 67205357, + 4125776, + 138664175, + 719119101, + 642378178, + 596941128, + 766414189, + 923685316, + 766969622, + 125808920, + 291596353, + 146860281, + 390582054, + 68191183, + 484242778, + 829476193, + 41854978, + 972033400, + 804949735, + 365177000, + 297569815, + 781257897, + 224751800, + 386180050, + 345236367, + 265527853, + 783669290, + 165591178, + 484212279, + 246442186, + 277007688, + 418003245, + 896116278, + 607555793, + 349056354, + 57211918, + 231221673, + 780400901, + 301000424, + 907281274, + 949906950, + 681608158, + 423821654, + 196233158, + 35034157, + 441236357, + 79978577, + 531892525, + 127340347, + 788006756, + 405983511, + 889140125, + 27998503, + 174396083, + 511080838, + 621036142, + 386745451, + 321230005, + 977638100, + 716884986, + 163889456, + 554231245, + 492963714, + 15462887, + 953397387, + 802209258, + 875490446, + 926477126, + 91995644, + 779709869, + 278623720, + 616232571, + 405309125, + 738814783, + 742461372, + 677795955, + 210053232, + 750299359, + 567346360, + 228568816, + 931153006, + 608743838, + 660698847, + 590403136, + 527779481, + 181669830, + 332314821, + 947002221, + 679369911, + 115938431, + 239266666, + 716824324, + 928569281, + 327966229, + 210648532, + 392614204, + 162776733, + 68732992, + 181911652, + 905311306, + 537458890, + 664967335, + 225599264, + 398352745, + 545168708, + 305722042, + 194098772, + 900124216, + 445001036, + 74695682, + 514759764, + 368386982, + 452513111, + 294950108, + 743207134, + 297132146, + 338385293, + 130807140, + 76918757, + 633425387, + 215595432, + 908896930, + 397116908, + 401999305, + 817691940, + 867598816, + 793830524, + 957021271, + 565827999, + 821784343, + 717535250, + 225974006, + 74804170, + 619960190, + 452434002, + 651723190, + 759314414, + 896736524, + 574595921, + 817327048, + 321207274, + 132892702, + 277151205, + 537289820, + 644207272, + 967851301, + 499389799, + 821967757, + 716616503, + 718521124, + 575793595, + 214726865, + 671503360, + 778432511, + 812007213, + 163973890, + 939873467, + 196898663, + 76736071, + 284548758, + 831156965, + 172128668, + 494577710, + 320301407, + 159913151, + 555361711, + 212512957, + 609113661, + 724182533, + 679183658, + 840564296, + 774580740, + 715287293, + 293744179, + 657605031, + 609144767, + 509457564, + 171644507, + 309323891, + 361986594, + 283570262, + 398089030, + 312473140, + 726605024, + 28469279, + 540014545, + 916333016, + 957470950, + 155449865, + 371453949, + 529089418, + 540718659, + 209894404, + 39360854, + 31579013, + 382810232, + 190879903, + 495649625, + 369827352, + 453054142, + 853375180, + 680079175, + 981672152, + 626927845, + 212833373, + 235068538, + 735830383, + 830312582, + 348175529, + 133879909, + 232211277, + 812742335, + 911869083, + 402416055, + 425025880, + 571880233, + 762595206, + 626636371, + 331457037, + 168124247, + 574979652, + 41773725, + 353615278, + 312892411, + 153848877, + 531146816, + 748170218, + 325099565, + 706860202, + 747009004, + 642622120, + 598024192, + 95683776, + 769425481, + 622521973, + 345724990, + 721828341, + 58629196, + 143309023, + 825890, + 814189260, + 723616358, + 688066823, + 252821583, + 64952990, + 792376698, + 817067333, + 586752767, + 834737401, + 149470942, + 665230323, + 791365887, + 776002424, + 607584429, + 93906111, + 662750905, + 109430207, + 261886718, + 9039193, + 513290697, + 699967273, + 924520221, + 835269155, + 631978442, + 395143460, + 434715686, + 750976825, + 396974332, + 39709464, + 156388669, + 578249388, + 469942343, + 658083349, + 910263166, + 566386676, + 206206358, + 159676634, + 25592718, + 864095148, + 285063821, + 861757352, + 394657437, + 89649829, + 28042943, + 739971799, + 902519074, + 155086573, + 618230983, + 386350294, + 533733642, + 972623861, + 291590180, + 810282619, + 161600806, + 409576560, + 516336811, + 158690942, + 959604559, + 550742198, + 40738153, + 256534802, + 632537480, + 717923002, + 130396523, + 28192557, + 148073718, + 23815708, + 371812300, + 129038488, + 901087641, + 408813387, + 326889011, + 955160595, + 164424095, + 820694036, + 622714352, + 269346265, + 708538366, + 878405099, + 884028500, + 400668534, + 536947171, + 492864609, + 882964842, + 569494336, + 51917661, + 490895192, + 933567081, + 129409654, + 808688960, + 257628139, + 554561856, + 699836438, + 937833088, + 795625021, + 645876260, + 952198118, + 785205277, + 841085773, + 941697317, + 779604663, + 449923628, + 249050667, + 290473202, + 804137599, + 606360604, + 349350658, + 951275670, + 821986678, + 767346489, + 597856053, + 357203028, + 404258480, + 463646039, + 824068763, + 206220167, + 936151083, + 711702838, + 683588803, + 114948152, + 37412952, + 150014553, + 927738425, + 24265082, + 743987549, + 781168046, + 370952563, + 135840161, + 518532960, + 539367351, + 651104043, + 144607248, + 415223745, + 269852882, + 121156510, + 633715725, + 31733569, + 458919711, + 939115489, + 301958608, + 458726423, + 578103401, + 575383582, + 812101284, + 249542067, + 580016282, + 405472181, + 416560202, + 464042949, + 324695477, + 359170582, + 645381748, + 546774536, + 54508317, + 819216996, + 381092952, + 828313981, + 555049401, + 13664274, + 665056959, + 107048897, + 432987862, + 348096869, + 423702801, + 209895908, + 390147573, + 835374231, + 576253872, + 831878989, + 221056465, + 227243442, + 622681294, + 616517620, + 866157429, + 419132204, + 372090580, + 857245003, + 37175056, + 979804249, + 775864733, + 974678652, + 141931291, + 44263895, + 524470386, + 339557682, + 636857343, + 862775292, + 953785747, + 613145648, + 451560513, + 692576967, + 929200004, + 929815725, + 446547226, + 463065057, + 536051961, + 610833058, + 796037446, + 968714583, + 824472526, + 970042950, + 533584831, + 170160633, + 159247147, + 9952168, + 819424274, + 313536657, + 448030810, + 259845959, + 433397987, + 794248265, + 298835417, + 44502151, + 586016238, + 762695261, + 742825517, + 982951154, + 575077066, + 413233128, + 702649444, + 175111533, + 961678828, + 997507101, + 436770720, + 724635805, + 153070038, + 180825085, + 586419419, + 288518150, + 440420596, + 856288880, + 835333122, + 176751496, + 880446660, + 989044950, + 690506915, + 451571462, + 506630838, + 927286444, + 93986907, + 122209307, + 615415524, + 874332393, + 556094720, + 241590365, + 151346725, + 670282326, + 321339003, + 963493963, + 960087711, + 779260492, + 432297231, + 860286471, + 581490021, + 952290364, + 458437289, + 597119239, + 954137764, + 622094105, + 400049297, + 424131738, + 324020632, + 934206243, + 235897184, + 314344413, + 762909836, + 762649578, + 384777856, + 628857848, + 22786366, + 266455471, + 574921876, + 289882686, + 401528332, + 288666709, + 159619667, + 575883695, + 553620051, + 854200072, + 186239959, + 239911785, + 607300643, + 596251775, + 529937506, + 749218487, + 945917742, + 479793703, + 787699842, + 690092166, + 872072440, + 928751013, + 800120863, + 834960255, + 268551996, + 576986815, + 894847955, + 129902756, + 701323062, + 15389427, + 918985272, + 892131873, + 924968615, + 39700989, + 11649907, + 99772004, + 17308991, + 993976987, + 56711974, + 646143713, + 113824738, + 112245793, + 443635670, + 226628781, + 169934468, + 616299148, + 15673869, + 8309641, + 162299276, + 462249668, + 102428558, + 44582622, + 637512185, + 679555504, + 627993596, + 245565064, + 868832010, + 877848211, + 427835922, + 531500584, + 473504829, + 87019576, + 152648830, + 717914935, + 416944010, + 902690344, + 891917529, + 277363499, + 281216775, + 402762427, + 180949555, + 874179038, + 42508409, + 594269393, + 834382147, + 551235065, + 523850100, + 12947706, + 736152309, + 568749620, + 218587757, + 200771704, + 758647030, + 81468523, + 4842717, + 961181259, + 906039876, + 715332108, + 274248891, + 115487398, + 847999641, + 903028624, + 769829849, + 706918448, + 444608530, + 903657843, + 27493671, + 14990157, + 545692099, + 802805013, + 88576094, + 640766928, + 428610503, + 803815108, + 704974858, + 894906642, + 59226474, + 28288401, + 945013281, + 767833855, + 798214103, + 267252624, + 636259057, + 508092720, + 428239835, + 742677608, + 2439174, + 749606635, + 741168390, + 903897694, + 743789688, + 712799103, + 547787318, + 821244384, + 400054621, + 826001268, + 803845792, + 815005312, + 77719526, + 883271084, + 219430520, + 73845715, + 272428970, + 228534430, + 628277897, + 162409891, + 418426950, + 830039189, + 761710766, + 191300655, + 601038383, + 287520684, + 748502053, + 186902957, + 716282190, + 600771373, + 950210807, + 705938598, + 66421712, + 104682045, + 843518846, + 348663091, + 246613015, + 473377429, + 440306816, + 691851338, + 163422658, + 135392796, + 513339727, + 88437287, + 283214185, + 117249459, + 907156062, + 451325657, + 579647163, + 513000091, + 907803361, + 551471442, + 744358487, + 591426222, + 206499962, + 100118887, + 790249174, + 73640003, + 881917340, + 388059987, + 882675404, + 950922759, + 414377121, + 781261037, + 744167379, + 179543548, + 910757461, + 971248617, + 717898913, + 770850511, + 92008503, + 676051468, + 323395771, + 785693339, + 590710852, + 5269715, + 638467150, + 222414983, + 761259521, + 263644731, + 38435090, + 511761572, + 359786646, + 922954018, + 244924683, + 583067706, + 283046571, + 318633875, + 683594615, + 666490526, + 701580911, + 113006477, + 798971016, + 601110540, + 16906631, + 925876997, + 182600417, + 402025416, + 748769228, + 952500551, + 723955009, + 721345133, + 437098362, + 110577320, + 288452032, + 157120269, + 308808178, + 529982934, + 537116596, + 851753399, + 808073596, + 281853983, + 991840640, + 674971920, + 881953508, + 826863160, + 546397811, + 993533771, + 80415042, + 537197012, + 243843839, + 305803329, + 352030961, + 961785935, + 332682600, + 522714297, + 670726800, + 415785964, + 414333185, + 366481188, + 330700239, + 552485501, + 488988260, + 374517983, + 178014519, + 491500745, + 961531466, + 469771503, + 384094484, + 696470383, + 1583705, + 22183990, + 643154122, + 788192510, + 962850295, + 609310538, + 685004814, + 832517167, + 728213123, + 63686736, + 979223902, + 834494380, + 181440619, + 657899494, + 227121691, + 113344051, + 633328785, + 180707565, + 883367870, + 619055916, + 652349918, + 287095263, + 978242925, + 413225775, + 250453632, + 881310348, + 82635622, + 538371953, + 71119403, + 567086062, + 80160234, + 392028501, + 717832063, + 900341668, + 907540174, + 708221231, + 687052798, + 619676292, + 64403326, + 364013495, + 488213672, + 493438603, + 44656594, + 887622596, + 829650988, + 874730563, + 846056808, + 42506429, + 123224704, + 111028720, + 588987917, + 799900783, + 707350819, + 418758247, + 812018916, + 642951045, + 84909618, + 865254743, + 926896719, + 327629618, + 765175105, + 735941069, + 510166249, + 626817214, + 609508845, + 106648879, + 763596967, + 767909762, + 967382870, + 214890611, + 553410984, + 287554472, + 145093584, + 899949989, + 193975568, + 202875350, + 845684647, + 267851993, + 826063948, + 685599133, + 873902606, + 631356665, + 118030382, + 33334080, + 502602925, + 493210461, + 816193125, + 579913274, + 110984405, + 610961636, + 761687267, + 410416790, + 435693342, + 629997227, + 164809679, + 957304169, + 370578787, + 124686334, + 21220731, + 876539917, + 159511308, + 574256011, + 300148823, + 614528235, + 757067953, + 942950561, + 38648470, + 67906110, + 675401474, + 258953685, + 617595723, + 550691700, + 679155176, + 68573179, + 881330857, + 497216607, + 706764695, + 875954171, + 658466735, + 451614616, + 300245762, + 450860146, + 589061005, + 244839524, + 959407569, + 985586018, + 296670292, + 709965248, + 914841911, + 542396223, + 347632801, + 884057525, + 514841062, + 204946906, + 554069851, + 830301336, + 483666392, + 165280700, + 330294986, + 586303412, + 34248106, + 972488007, + 485734804, + 759938017, + 590180324, + 380045223, + 15436325, + 384275927, + 97195916, + 145718696, + 300273528, + 758403722, + 935394897, + 234777236, + 586936993, + 560650825, + 523436251, + 441771068, + 118128251, + 325113714, + 656265903, + 23111360, + 483963218, + 250105333, + 908932371, + 429614994, + 648812152, + 666788826, + 806817543, + 39216877, + 317026644, + 13149264, + 750683427, + 965553329, + 992555529, + 644920271, + 757324615, + 713931409, + 246271877, + 527010715, + 337508046, + 767089782, + 523531950, + 180015000, + 449043181, + 168432003, + 721113458, + 131756109, + 399835172, + 202509715, + 945410608, + 515974067, + 483523586, + 813867785, + 206319613, + 643252161, + 902938147, + 27252470, + 946801989, + 189182959, + 159315701, + 622667801, + 942901221, + 18658460, + 643182287, + 748601029, + 916630433, + 515202432, + 541822294, + 490971823, + 530862167, + 277304438, + 446091273, + 727132672, + 920918242, + 456929764, + 893538826, + 61265612, + 730521667, + 333094080, + 92060112, + 162815476, + 569780040, + 362610810, + 934934642, + 150642458, + 51447094, + 849629843, + 72127359, + 134579543, + 192371021, + 764147145, + 813401205, + 516338716, + 211192747, + 830456339, + 315151643, + 183851735, + 771589163, + 612047116, + 371106527, + 21749065, + 872889024, + 315026277, + 630211598, + 827070751, + 70444289, + 759115596, + 24169723, + 887563122, + 361695342, + 115655086, + 369266977, + 60705341, + 255587088, + 637283561, + 69087771, + 263951836, + 759199658, + 13507410, + 136101367, + 16109069, + 919947339, + 191841266, + 588723785, + 201889482, + 949297695, + 717540462, + 318021352, + 193650596, + 183275909, + 333173039, + 527173649, + 842074749, + 550002418, + 179952870, + 626674461, + 291613731, + 615229788, + 14486008, + 316631117, + 573287626, + 454516140, + 987976300, + 538767871, + 337197221, + 166804802, + 882200475, + 127183682, + 260065299, + 590933118, + 413717900, + 928297924, + 415530617, + 171086543, + 178099140, + 452647438, + 659248471, + 283268239, + 199164336, + 381825121, + 704599129, + 339061850, + 441725606, + 389514807, + 51072246, + 194007188, + 510465589, + 553206777, + 633434569, + 113247224, + 883598158, + 572947164, + 878877284, + 712099936, + 339805514, + 313994784, + 640938479, + 173677435, + 992569385, + 783085622, + 623553391, + 435835005, + 343903441, + 96104921, + 262662568, + 305211414, + 30565407, + 506835811, + 735317518, + 453705602, + 79290317, + 832425189, + 201105056, + 555458035, + 630438554, + 624606872, + 66965768, + 541136598, + 843364341, + 475268689, + 756621547, + 919285650, + 153174558, + 352561669, + 345018536, + 747020173, + 369147457, + 973308422, + 392634587, + 230391055, + 567813958, + 713041210, + 172095041, + 352419211, + 224854977, + 128265078, + 248988860, + 81236577, + 663424496, + 831493283, + 155868659, + 155836124, + 318897640, + 641430780, + 768635540, + 408074355, + 112189313, + 665061357, + 527573143, + 468080283, + 999768743, + 406406275, + 165188462, + 794283235, + 99159762, + 970306951, + 776722693, + 480726934, + 48794286, + 616045663, + 258502479, + 219407776, + 151179595, + 50981966, + 121648099, + 108069070, + 166213286, + 824441367, + 950939170, + 157330157, + 411008035, + 96057948, + 44215181, + 258584038, + 488607597, + 139125461, + 382854237, + 315536005, + 217814871, + 613279475, + 614455582, + 764117195, + 884808815, + 511529663, + 982092343, + 886771941, + 603087237, + 932245203, + 711298610, + 743282816, + 81159987, + 471342526, + 845021454, + 521401269, + 462513459, + 420269535, + 805495038, + 727924505, + 886709727, + 991398140, + 868847330, + 489891233, + 957974302, + 558047692, + 927084616, + 441893649, + 963296200, + 846736618, + 943832132, + 283400623, + 70031515, + 168371958, + 332149133, + 276380531, + 339120395, + 553060644, + 556860226, + 690680199, + 837696296, + 63371623, + 671232174, + 729706264, + 972601447, + 529555264, + 211827356, + 943880909, + 700916112, + 957436496, + 306010335, + 621906997, + 965381997, + 290665655, + 597939401, + 630452944, + 48513625, + 970223215, + 882285212, + 702055516, + 643431697, + 259615324, + 391776781, + 886243789, + 399395712, + 540376530, + 609957011, + 726833358, + 710199777, + 628526273, + 832983653, + 927328561, + 935209970, + 26031796, + 719174013, + 146124733, + 138676243, + 273707899, + 887988609, + 51127571, + 791944843, + 62595646, + 231164695, + 190065327, + 519589919, + 2329264, + 492875963, + 475861242, + 442535825, + 915267607, + 328539363, + 287032537, + 511610638, + 300972538, + 318465722, + 695832435, + 491331863, + 988467464, + 983128228, + 981119767, + 430715017, + 157014598, + 254184255, + 16050588, + 772493819, + 939047053, + 499897037, + 645524809, + 873476113, + 317288956, + 247739974, + 663517262, + 735321871, + 832517881, + 763299126, + 815803438, + 415349498, + 177538022, + 237300062, + 422013515, + 775233240, + 682424736, + 173716402, + 597197435, + 996996242, + 656150124, + 109676711, + 903450580, + 150990268, + 279120600, + 829615733, + 371069691, + 285973627, + 876537974, + 513631017, + 758650342, + 522771496, + 475217274, + 45972264, + 188644787, + 108090278, + 129018787, + 70958552, + 249724789, + 702492723, + 130329956, + 256094481, + 280907095, + 693666270, + 192290369, + 906491185, + 904396433, + 272782617, + 136844455, + 536637023, + 695112980, + 667687494, + 948176209, + 989410435, + 717516111, + 813686931, + 822199803, + 748521836, + 948034419, + 669278472, + 364899689, + 376517839, + 415776764, + 495295662, + 479158829, + 273309370, + 640962946, + 21863655, + 4315998, + 823378891, + 25738483, + 445394456, + 293504968, + 455272040, + 72289534, + 466492431, + 549030951, + 746989625, + 280885104, + 666399241, + 659813619, + 795353530, + 250282815, + 508321826, + 197263951, + 703060970, + 188312302, + 263211491, + 842310407, + 845323764, + 978391274, + 521880420, + 998274346, + 458801062, + 28089567, + 708002692, + 350435798, + 23689222, + 676952507, + 697988607, + 791410901, + 848690607, + 669769986, + 891043796, + 938295354, + 850431481, + 303438399, + 306330846, + 756101554, + 898101419, + 770590456, + 158285116, + 465533556, + 620002371, + 211902696, + 883921854, + 598974678, + 379756487, + 627330828, + 388403353, + 340334317, + 136248430, + 388901678, + 300947638, + 550246562, + 374553154, + 831416859, + 199444202, + 574230784, + 387653674, + 706329225, + 224061290, + 629678850, + 620078680, + 511218713, + 963293195, + 861282955, + 961110425, + 797602945, + 941417355, + 419068777, + 680027716, + 684417422, + 956965902, + 222087615, + 968663187, + 749716899, + 791747513, + 970683390, + 942794353, + 905827099, + 759463425, + 276111828, + 584756656, + 509049689, + 145915352, + 982407253, + 717076292, + 151819852, + 297894513, + 536945118, + 150740403, + 386565889, + 411666225, + 687831472, + 728419337, + 985870277, + 191199784, + 783121525, + 918757323, + 78650926, + 53717984, + 508431094, + 347458503, + 867189443, + 563455724, + 333899351, + 372566314, + 631487702, + 97968749, + 968728769, + 795406969, + 793090894, + 886225833, + 841357745, + 605381537, + 855601392, + 931479819, + 926622, + 674510558, + 235089443, + 741175589, + 339016268, + 151404678, + 161495470, + 872276632, + 187114651, + 352558494, + 700810341, + 33024602, + 563211421, + 582125574, + 957594447, + 104300184, + 358035823, + 251768866, + 144626978, + 665180429, + 133104565, + 832638411, + 519133900, + 708922851, + 947826984, + 561372509, + 532328495, + 283688560, + 209506761, + 962509609, + 337441019, + 499054196, + 292959752, + 934460524, + 924699784, + 56728859, + 28755420, + 137065576, + 906475255, + 655676060, + 843612142, + 241195091, + 134514673, + 649990343, + 392546882, + 499143461, + 61506941, + 118510070, + 919496059, + 752386681, + 420942050, + 664473640, + 705032092, + 485348254, + 224675256, + 867129249, + 565026036, + 236157117, + 761768670, + 771135932, + 435602587, + 879499103, + 149028609, + 179988077, + 698980555, + 128996723, + 966129512, + 994052923, + 516108103, + 603969804, + 265793478, + 740727276, + 817887329, + 64830778, + 218890536, + 763640261, + 719701214, + 63364671, + 989842862, + 437510348, + 812016498, + 900526605, + 720055949, + 44137216, + 242650098, + 403504381, + 510842706, + 108466202, + 262046316, + 607378571, + 322686985, + 316748123, + 836111015, + 923504313, + 591444188, + 929438884, + 48121616, + 520656715, + 483344743, + 2089530, + 826484169, + 751970465, + 138221029, + 330637178, + 56093289, + 28231304, + 836150296, + 875743625, + 892136450, + 906490518, + 481424975, + 941374599, + 666591712, + 746411878, + 10551292, + 228478194, + 797691051, + 981519065, + 770785029, + 491140198, + 165592312, + 469386452, + 215504391, + 264023381, + 29203370, + 758475899, + 303362040, + 95255139, + 791009718, + 431504737, + 997655930, + 686994828, + 177031892, + 161533041, + 159373091, + 726191906, + 666516717, + 738088845, + 866278013, + 825174005, + 881862209, + 220334820, + 427965514, + 669701052, + 938412128, + 929012366, + 319896180, + 944112425, + 299344042, + 712047258, + 424249509, + 893603331, + 537708128, + 427870910, + 254414240, + 286184932, + 448959818, + 157874624, + 468470635, + 753356164, + 968852841, + 903937074, + 447312108, + 624193377, + 751032626, + 679984871, + 896224473, + 300061289, + 757775039, + 100172012, + 458040048, + 480710144, + 161538771, + 930870146, + 262828557, + 378760529, + 807298619, + 497825759, + 188472289, + 16275444, + 754694178, + 756419569, + 121903924, + 367334547, + 247659208, + 617045571, + 486482096, + 177664340, + 808832353, + 727128850, + 627103836, + 788092127, + 993044763, + 329120852, + 796845941, + 286507317, + 73840332, + 98834952, + 609669236, + 673012257, + 985685110, + 484388384, + 641215660, + 690288891, + 237189315, + 684637113, + 179641411, + 100331450, + 331318316, + 320843516, + 549431504, + 765840615, + 328216515, + 499564971, + 762141222, + 928710768, + 274162562, + 184053561, + 850949297, + 286146758, + 822021344, + 155186342, + 975349220, + 124468906, + 495558640, + 603285867, + 635006432, + 177537791, + 102523120, + 358080645, + 267916067, + 75113016, + 781091937, + 262665368, + 818022230, + 908145483, + 985786459, + 83542778, + 285862644, + 701024, + 223387442, + 603373332, + 500238030, + 662028404, + 557138008, + 368247014, + 337332903, + 836246026, + 59003475, + 484004362, + 229346100, + 381268190, + 51166262, + 882726196, + 804392576, + 81989607, + 199679486, + 80936194, + 576200959, + 588669522, + 824999805, + 732307562, + 465225378, + 208280015, + 301350517, + 915418767, + 576742002, + 199068798, + 135102407, + 931428333, + 408738149, + 159041809, + 354974549, + 578508521, + 365565098, + 897419592, + 163441799, + 674500763, + 695188151, + 509721208, + 99410021, + 880739969, + 228648227, + 869163128, + 453346186, + 989668561, + 213979623, + 774123644, + 436057723, + 436108306, + 527986371, + 266144440, + 636256570, + 130457020, + 721428720, + 75903805, + 652419605, + 501290030, + 751629322, + 98819160, + 598343021, + 838434152, + 999173783, + 247184217, + 396227206, + 780047759, + 585708205, + 150955365, + 105092109, + 103168614, + 321020788, + 471654648, + 364846270, + 231509586, + 285675553, + 18419438, + 856628920, + 246742890, + 99529525, + 810157420, + 999860879, + 9003164, + 684289090, + 865189625, + 725043678, + 198327214, + 970995574, + 155069860, + 625558459, + 491815008, + 327773628, + 440960533, + 129493015, + 439433491, + 20498003, + 842694683, + 114767266, + 855890429, + 979832780, + 245681065, + 694259752, + 868089873, + 987946936, + 265241888, + 198114079, + 503045708, + 250554613, + 314555943, + 270952605, + 244541626, + 864587328, + 950559007, + 398020073, + 910152574, + 405950526, + 231212022, + 111572241, + 440528770, + 548985243, + 411554141, + 568540191, + 85116445, + 530486059, + 428468178, + 564357179, + 309766846, + 900387031, + 156958503, + 913626442, + 88361044, + 54756339, + 670816493, + 164660984, + 595298990, + 587433528, + 897040980, + 856493758, + 514933611, + 198456565, + 661539701, + 574726041, + 726500560, + 736654544, + 649236251, + 608058376, + 742722383, + 259856865, + 703994172, + 669784166, + 459971722, + 199893038, + 538456393, + 570956859, + 416595518, + 424529724, + 792597242, + 334575418, + 952509459, + 516981291, + 424345184, + 565904611, + 912970447, + 573596954, + 841888718, + 941454670, + 382720959, + 501224895, + 68733364, + 50556876, + 644825354, + 19485895, + 959189903, + 750781636, + 770000594, + 768664257, + 862773553, + 367375060, + 50842267, + 432821625, + 289237387, + 138965772, + 228563814, + 816253013, + 169100888, + 855986225, + 788437864, + 450253806, + 267258656, + 475441407, + 228018622, + 634398114, + 627552688, + 690082812, + 187352278, + 10428869, + 937808725, + 993608995, + 294150630, + 587359373, + 238941491, + 654894540, + 846537603, + 187868275, + 433071999, + 836854912, + 694152355, + 680278275, + 799129550, + 846343787, + 445084253, + 268814499, + 810736789, + 446802086, + 727037107, + 182973428, + 742163433, + 469817622, + 850965026, + 22978511, + 484892425, + 820448838, + 948234123, + 614284664, + 220333402, + 426488316, + 32255569, + 912453093, + 968377957, + 139360531, + 531771441, + 460008478, + 409026578, + 831614422, + 788241275, + 124362459, + 287602880, + 972828472, + 416264584, + 323694571, + 180656937, + 165286214, + 440232326, + 480672268, + 695329869, + 661447941, + 736187875, + 821461431, + 765136968, + 443949095, + 534726887, + 231510919, + 93266545, + 442752160, + 850311855, + 497394559, + 912823985, + 180979417, + 15845495, + 373699942, + 631517619, + 187379277, + 86133974, + 563189363, + 797652649, + 959932543, + 959273354, + 660452751, + 869170653, + 484132630, + 894192129, + 861089638, + 938337960, + 89943687, + 626180797, + 890394776, + 742297469, + 728416712, + 457779972, + 269930117, + 511977927, + 832226980, + 402962045, + 499506786, + 688079183, + 747033015, + 31113961, + 828276312, + 380772609, + 435091649, + 976900994, + 316455998, + 400829672, + 176503567, + 413496175, + 664270360, + 239517064, + 773558585, + 67179314, + 9869024, + 16713172, + 231025067, + 320689586, + 456045667, + 888905079, + 191769735, + 29040822, + 175037663, + 298369271, + 12025163, + 808967491, + 854256722, + 453625573, + 437969500, + 594303869, + 253235713, + 102429935, + 287016229, + 302270909, + 862490438, + 404327846, + 695221840, + 128032703, + 932948327, + 162966570, + 909401610, + 136399068, + 879791767, + 361638783, + 888084598, + 676078831, + 386286752, + 659035773, + 86223095, + 963465492, + 868098079, + 667737647, + 517048047, + 945534088, + 746977782, + 837473, + 151537704, + 404377935, + 576829694, + 838950094, + 313085024, + 237641187, + 569600573, + 194868935, + 730029284, + 675871702, + 803021464, + 321559674, + 355731636, + 129964682, + 851854721, + 724867987, + 380277089, + 532146146, + 108010557, + 37926617, + 298224348, + 470048607, + 513592544, + 226036964, + 598145770, + 610173814, + 79225172, + 545402821, + 799647254, + 337321499, + 585174163, + 193214014, + 709480227, + 468803214, + 18031388, + 31835365, + 242062720, + 436755629, + 423652860, + 54253089, + 76391265, + 903278212, + 174275524, + 110151425, + 447502947, + 646678253, + 16308611, + 959337089, + 492513499, + 20143745, + 417214155, + 81436072, + 144453044, + 133204352, + 199781039, + 224690483, + 168839985, + 880879623, + 707682267, + 619752583, + 901660299, + 369163868, + 407636464, + 620502727, + 468575884, + 384306311, + 154936545, + 901675078, + 226855618, + 587663258, + 326562486, + 663122779, + 303430538, + 678308644, + 604330620, + 417758099, + 218973353, + 501004101, + 305700825, + 135876569, + 617265509, + 631279522, + 359049206, + 659060025, + 522302539, + 732000855, + 62405425, + 484662731, + 248296700, + 803109834, + 830613774, + 299679415, + 774025842, + 837242042, + 977629317, + 839813645, + 885345413, + 901567618, + 26799632, + 840991168, + 361283105, + 305102854, + 226062154, + 355930433, + 17271219, + 900197701, + 873699162, + 489034046, + 250025796, + 4312099, + 726140012, + 363233706, + 387455329, + 689025253, + 263148444, + 535144802, + 119610252, + 127379851, + 990099235, + 471643585, + 853200745, + 526658780, + 167043913, + 720819850, + 304184545, + 518523337, + 906874615, + 763704358, + 529743753, + 226138570, + 699197659, + 703863611, + 701260127, + 560476520, + 65389337, + 146496090, + 840594075, + 186692512, + 843505391, + 851708424, + 254974512, + 485873974, + 502395073, + 43725734, + 9036192, + 279010257, + 907888034, + 118316255, + 510685196, + 503099155, + 700159823, + 376166506, + 300849396, + 335102044, + 864239161, + 328161172, + 793683069, + 477799463, + 185230744, + 53314503, + 441868898, + 533607399, + 151952642, + 783378065, + 453407293, + 210015609, + 884050996, + 607178653, + 267401067, + 132749357, + 499015594, + 535022229, + 353718776, + 515812298, + 785263492, + 332709882, + 476446758, + 815191659, + 830413907, + 121501204, + 132201022, + 26944477, + 312434619, + 286525963, + 335077284, + 684856201, + 223330445, + 705348676, + 597132704, + 686720626, + 562918725, + 716290965, + 847882767, + 894573524, + 101598321, + 20238498, + 724486010, + 463401940, + 528611339, + 220825462, + 761256413, + 636749463, + 208309411, + 368254788, + 205600943, + 45316275, + 273877363, + 721808961, + 525993439, + 77075712, + 867169830, + 20860213, + 454976847, + 1903821, + 898270647, + 246323903, + 975674800, + 560731028, + 459947987, + 523189674, + 349132931, + 921902521, + 753566337, + 673948702, + 220713394, + 89588354, + 140298623, + 684396723, + 80923063, + 1453032, + 394719234, + 830882906, + 885921549, + 685212579, + 867170147, + 485929648, + 858571656, + 707049703, + 592448364, + 519977949, + 590550300, + 535943906, + 231749369, + 856431322, + 337875389, + 701135843, + 678431068, + 184869685, + 177232215, + 268745259, + 229764405, + 71269897, + 576226971, + 400375015, + 549689997, + 671790751, + 909125653, + 273618459, + 934998046, + 758012770, + 881048188, + 677987464, + 813079447, + 885735743, + 736504113, + 626535983, + 758198046, + 149895848, + 102388730, + 125051002, + 141261553, + 649939793, + 304907335, + 286189903, + 147661095, + 785702603, + 951040105, + 379439540, + 671201810, + 78709379, + 522202553, + 750333909, + 548443527, + 202203763, + 299557501, + 546312407, + 23961861, + 5004597, + 579122407, + 622761914, + 257657742, + 112456594, + 7500674, + 979479909, + 159749077, + 153791664, + 485111253, + 16531775, + 179692159, + 803769235, + 972268225, + 600670120, + 592839520, + 550482391, + 882007388, + 605758975, + 430459133, + 198716690, + 998945587, + 156410320, + 544780833, + 359507465, + 599447768, + 268013733, + 461939352, + 166243000, + 954052748, + 656397885, + 990413059, + 964358259, + 532827604, + 230511191, + 653612559, + 732000574, + 157537915, + 586848813, + 359314928, + 904207471, + 962710492, + 440923520, + 206433869, + 577388550, + 103528063, + 338209138, + 640425522, + 463677457, + 693217376, + 74143342, + 347600686, + 356382246, + 728010707, + 448091395, + 873610017, + 945677029, + 638687003, + 430155381, + 567467061, + 23880215, + 169614149, + 469139335, + 887289949, + 343474252, + 829772355, + 180382863, + 840136255, + 484168544, + 705737079, + 194625957, + 73155670, + 502272846, + 927810334, + 38404448, + 48563440, + 891923934, + 637978659, + 807859122, + 905093622, + 263014049, + 379848894, + 204646160, + 685599987, + 389002139, + 107248888, + 559157918, + 573476643, + 205014829, + 428441930, + 253113997, + 119808717, + 263556555, + 459537218, + 63363506, + 90944162, + 84434294, + 739281960, + 329881675, + 307245170, + 350148491, + 879766951, + 499443283, + 150840312, + 363841547, + 845098647, + 474737136, + 200397283, + 88122441, + 642846926, + 616992862, + 408469076, + 859159038, + 89498507, + 310620228, + 496742330, + 692347486, + 794411084, + 407946444, + 737202105, + 310473734, + 30317030, + 666656284, + 466411491, + 590402934, + 456112027, + 314143392, + 336417661, + 505795890, + 650208252, + 172376531, + 110367317, + 767819875, + 591628663, + 792995708, + 436655172, + 625051441, + 881978423, + 534908026, + 108274296, + 407219129, + 745173053, + 994340351, + 548602473, + 778667905, + 33188327, + 709504856, + 777228369, + 181340480, + 224643881, + 549564667, + 485672441, + 735576857, + 242494420, + 982117666, + 556299319, + 959267996, + 551331982, + 999944155, + 395265331, + 311627937, + 830706334, + 100112801, + 845629908, + 444861243, + 803900805, + 199928389, + 859896831, + 536780041, + 277323573, + 897782549, + 276121491, + 829541258, + 251447675, + 214775906, + 476093284, + 955954872, + 284837462, + 337008866, + 361605712, + 113867125, + 44057119, + 725956334, + 773009940, + 798186048, + 480217945, + 909282605, + 670045, + 549240463, + 660968983, + 180432874, + 605974113, + 713303037, + 176976674, + 294796202, + 647546581, + 291192229, + 448010115, + 858603909, + 352945279, + 210570629, + 888290397, + 427623640, + 826922425, + 166656505, + 109438459, + 66900743, + 971509983, + 26774190, + 652806420, + 203164896, + 837089892, + 408299435, + 969852549, + 537963053, + 801744638, + 748354893, + 838862142, + 214559464, + 386842070, + 154926455, + 347787676, + 375544511, + 318515719, + 618152000, + 522170008, + 193273324, + 617733365, + 188400877, + 34105661, + 69599238, + 515192212, + 105034453, + 220236755, + 324607453, + 514255559, + 22052678, + 834493414, + 714840805, + 984979445, + 433887812, + 532657777, + 646898879, + 86766815, + 19047898, + 666361044, + 492028378, + 758597927, + 893839207, + 476009005, + 91969779, + 88830607, + 580670162, + 609182792, + 158286035, + 24264918, + 557803951, + 448990752, + 973520659, + 914756944, + 325414626, + 91094144, + 449585780, + 949259561, + 611789724, + 342025726, + 848632061, + 588235189, + 365882819, + 613894553, + 1281261, + 801373027, + 875675309, + 44370651, + 553467085, + 829617096, + 881733940, + 838023124, + 265554292, + 891617519, + 498641153, + 293074204, + 358723895, + 402200470, + 31396712, + 668971949, + 627536541, + 393922994, + 557702951, + 733725502, + 867516213, + 85337382, + 807804486, + 463084854, + 44626272, + 165227710, + 257936543, + 981087142, + 354874796, + 312244442, + 708727970, + 989397110, + 792276454, + 964669724, + 598180747, + 762992194, + 100072987, + 806915380, + 199269425, + 363595979, + 930271222, + 225531747, + 524654862, + 255558606, + 270052714, + 992463756, + 717325763, + 430454396, + 297935387, + 822946901, + 112356658, + 540285064, + 800698307, + 358540645, + 232034502, + 7033907, + 561330536, + 229619034, + 488872959, + 587958656, + 115591270, + 292442473, + 922433881, + 157768331, + 713589863, + 290112246, + 117474769, + 149119603, + 7861024, + 801357877, + 698612652, + 777638001, + 561205473, + 532038320, + 483420333, + 221290463, + 202781664, + 455142854, + 863376138, + 208834130, + 512061624, + 183867390, + 191623029, + 559770826, + 370969056, + 898006682, + 350224358, + 990579715, + 307835467, + 150950116, + 787010974, + 644614988, + 260694330, + 893970273, + 217061935, + 230878776, + 910870666, + 724998560, + 534835015, + 233087738, + 543435955, + 293280934, + 183371410, + 277003421, + 271210343, + 993180209, + 945429560, + 220872478, + 833883846, + 140094327, + 23676880, + 845400118, + 685073777, + 440497830, + 611891886, + 316986182, + 360774180, + 466076404, + 639933186, + 87583273, + 992575297, + 733955601, + 987472821, + 726999833, + 88440813, + 624583606, + 519967768, + 608828661, + 321302962, + 617052176, + 91060516, + 381298224, + 346882404, + 193685481, + 615335843, + 631367632, + 632252430, + 490381647, + 421909616, + 251088428, + 303716001, + 146308667, + 123046144, + 918289326, + 432283751, + 972428077, + 957735628, + 84605215, + 462312972, + 994093076, + 338665499, + 489721290, + 70929116, + 122157328, + 550290556, + 621704155, + 680130454, + 442189787, + 834719043, + 61669027, + 527461040, + 380186862, + 85126660, + 431473712, + 806389334, + 654991472, + 368637674, + 811588729, + 610868190, + 314676305, + 46264034, + 52596837, + 535179635, + 774973744, + 83391244, + 667299711, + 884944430, + 449712006, + 209436312, + 411131074, + 270158540, + 395117081, + 392236619, + 934175523, + 511611281, + 365470357, + 302510838, + 969912075, + 841609071, + 669756184, + 172695415, + 309502917, + 249129780, + 364903617, + 332886564, + 579000693, + 379221284, + 476262065, + 115550512, + 759227759, + 537285548, + 661009855, + 922440438, + 207269265, + 142432579, + 511077487, + 935356312, + 827526423, + 802839691, + 191039706, + 502104837, + 643690747, + 395532681, + 702147665, + 665558630, + 176709380, + 615120997, + 893250945, + 537739023, + 282121934, + 27311522, + 234481652, + 13996766, + 312741007, + 111139485, + 273412619, + 709439992, + 916271619, + 277572625, + 683116526, + 984705575, + 310369074, + 895022045, + 148701404, + 694291032, + 763458295, + 577060359, + 31891723, + 808868275, + 557931746, + 408253637, + 237405341, + 425963367, + 590040333, + 610691588, + 724313629, + 784980933, + 944527864, + 136491283, + 938509231, + 686964970, + 293570377, + 320325406, + 235439922, + 940012797, + 896214780, + 849735508, + 50423311, + 889658482, + 69390565, + 415279507, + 968580723, + 753337398, + 26128275, + 984691913, + 501487112, + 865741470, + 116205352, + 216651516, + 140740012, + 298674646, + 182363508, + 312941827, + 452282443, + 345698324, + 416646118, + 483006047, + 796923801, + 505012598, + 179873062, + 677449130, + 792637348, + 986787183, + 740001469, + 909793378, + 397693810, + 225920798, + 220264509, + 202299712, + 683766710, + 447419594, + 189672775, + 453824081, + 147425955, + 77063024, + 215736978, + 502051474, + 484485139, + 576931963, + 895970502, + 942280680, + 829825908, + 383711535, + 408703838, + 660150305, + 462695579, + 45200997, + 359737778, + 38540232, + 130077364, + 676857101, + 859839436, + 545381883, + 276083817, + 105144784, + 405797433, + 688390704, + 305353004, + 985127471, + 961271118, + 125246624, + 847964315, + 344875157, + 320106122, + 59750873, + 813073999, + 953158387, + 219553617, + 320211910, + 286318344, + 948991458, + 560945247, + 123411595, + 124274859, + 865198152, + 512231113, + 295617190, + 530833397, + 394692216, + 732476149, + 728815502, + 745377567, + 602714203, + 383049507, + 894380441, + 707917555, + 893808478, + 762584507, + 623780786, + 198072889, + 458915623, + 207409270, + 691754956, + 229591764, + 279777530, + 883825432, + 881007942, + 522586896, + 400477475, + 916258767, + 694072890, + 81593916, + 443170279, + 976699281, + 55331692, + 660174038, + 895247532, + 248935868, + 772787854, + 704222423, + 352502936, + 85485771, + 28112699, + 747792697, + 425614366, + 959374918, + 108659902, + 65813598, + 313581616, + 771854207, + 336325254, + 595262148, + 514228025, + 954907663, + 422225389, + 517381386, + 431312662, + 988833062, + 53614438, + 845181968, + 848399261, + 284235910, + 562733438, + 329475380, + 781316199, + 388386342, + 490426741, + 32708447, + 699049621, + 963178005, + 288949809, + 423363067, + 884356374, + 633707471, + 317402609, + 914541866, + 640612042, + 102860544, + 996725734, + 239833476, + 363656463, + 434368038, + 969253977, + 821220949, + 531708983, + 998360963, + 737683386, + 307597737, + 100455677, + 441631454, + 587094613, + 876598901, + 656687337, + 15940317, + 181186907, + 491894204, + 361100592, + 359282209, + 631504136, + 793956423, + 217168982, + 758434020, + 105371195, + 543792682, + 2810505, + 521396816, + 566659946, + 19328085, + 209136362, + 132346353, + 568570158, + 935158206, + 472367907, + 143861031, + 621544264, + 15261229, + 225023387, + 387283010, + 415068800, + 797501515, + 735662909, + 585280889, + 865302962, + 956722796, + 863912592, + 812999216, + 953177692, + 522526016, + 933457706, + 369878246, + 717268034, + 749548810, + 45611623, + 150620439, + 322784368, + 755071818, + 911079220, + 263816085, + 21399865, + 830679692, + 745088646, + 286888683, + 983957615, + 474470891, + 709452260, + 235636723, + 113560232, + 749144008, + 6023180, + 68629004, + 450849210, + 768721012, + 307514486, + 49911961, + 180369613, + 403158969, + 450425374, + 605363548, + 110373404, + 418051062, + 999135530, + 280197064, + 648601115, + 422029787, + 277127732, + 9364126, + 801653961, + 67448061, + 161069103, + 442044400, + 99485671, + 337186944, + 156590096, + 900725647, + 985365749, + 569995196, + 410335300, + 745740429, + 700775565, + 836971796, + 106976914, + 564913327, + 788150924, + 32869402, + 808608604, + 849768704, + 667326539, + 349899881, + 95523753, + 911364722, + 493694357, + 876496354, + 952639833, + 270241355, + 643479809, + 845045917, + 542029743, + 946569514, + 329975835, + 693567034, + 669277708, + 202152686, + 459211089, + 573374863, + 780250135, + 436322974, + 323865335, + 210939470, + 998850234, + 139435686, + 326309672, + 346261019, + 451257421, + 602732199, + 859797073, + 268692262, + 153542735, + 560460620, + 953259110, + 52164776, + 338257298, + 347594487, + 635937946, + 449257976, + 110806041, + 815950024, + 942390655, + 385758542, + 530409316, + 545060115, + 4618461, + 339042761, + 365872377, + 979027052, + 871107563, + 546531139, + 762075568, + 726908301, + 406096986, + 17005641, + 752415716, + 350146263, + 311569851, + 699472417, + 181106819, + 435203313, + 447464053, + 249245900, + 191220648, + 245011333, + 127526353, + 643085334, + 215693714, + 788071387, + 696089578, + 884854730, + 787463780, + 751345959, + 309225389, + 124912247, + 607303804, + 641153014, + 762946986, + 984961924, + 708295566, + 33781503, + 322812894, + 305434589, + 430457952, + 325102082, + 55124059, + 309577987, + 911377165, + 277486315, + 288433571, + 105049429, + 568665647, + 180162080, + 333896964, + 711613464, + 900383682, + 844860867, + 870099389, + 126339866, + 281105241, + 309790361, + 128121623, + 913704393, + 898654699, + 604021576, + 526134440, + 105518469, + 467942230, + 924189514, + 910274165, + 843114776, + 591886253, + 839740714, + 150699784, + 8265044, + 646435830, + 826460155, + 616692993, + 787975343, + 306300037, + 72291291, + 573128480, + 842547543, + 331099576, + 848363238, + 547503297, + 452568984, + 142102322, + 156559878, + 303565892, + 530229922, + 895515762, + 686779588, + 928025512, + 817283873, + 8356857, + 919813013, + 227022899, + 645405806, + 837923974, + 751795669, + 77102191, + 542464295, + 472370018, + 275042131, + 477634474, + 86435414, + 742377832, + 892115115, + 807230103, + 266772250, + 491938244, + 804515533, + 941575406, + 159463968, + 361270637, + 275795712, + 773601772, + 765847059, + 174053232, + 751594066, + 328437205, + 829814373, + 986837513, + 551199157, + 347188683, + 196181940, + 142966938, + 247881044, + 954335967, + 625450824, + 692987952, + 906654723, + 566148286, + 119266778, + 32277853, + 585098462, + 597364562, + 16066152, + 514932397, + 351147396, + 862247811, + 462352993, + 270372337, + 448537742, + 226644319, + 167742167, + 434129798, + 245854363, + 245296052, + 491149405, + 360629267, + 876580260, + 925126699, + 229091151, + 802911274, + 518908614, + 103700575, + 144957406, + 355378834, + 560786946, + 185018596, + 664184782, + 645388669, + 637558527, + 25349984, + 764907373, + 862158190, + 217392987, + 342186325, + 598784528, + 484945380, + 629482247, + 541771823, + 477472176, + 502709247, + 15037076, + 970159473, + 354232500, + 383247444, + 791887737, + 61956400, + 821142925, + 590345181, + 611776210, + 967778158, + 371469746, + 634874492, + 451057703, + 644454574, + 159555037, + 767904024, + 963617511, + 909584929, + 663284319, + 135869378, + 325963617, + 987358982, + 388290532, + 73869960, + 723248364, + 627822089, + 289608610, + 509370640, + 936272135, + 56694132, + 871965444, + 276821091, + 243322974, + 789220935, + 909360408, + 108244897, + 445371373, + 718815723, + 899545204, + 815728255, + 9809377, + 958811723, + 93755571, + 145912881, + 827641725, + 795598819, + 250941746, + 925511213, + 747886555, + 238496297, + 248316762, + 540271983, + 238710792, + 795126197, + 349437860, + 131432569, + 394443761, + 935404135, + 503456398, + 352776369, + 826441788, + 289798174, + 989755753, + 246718087, + 86038313, + 798916982, + 348209066, + 365777555, + 614859935, + 558227743, + 471916555, + 218861711, + 610198927, + 625694937, + 576401271, + 938600345, + 574342898, + 354193817, + 101648197, + 295176544, + 271542729, + 402648052, + 397302494, + 957410364, + 672852396, + 919754253, + 29120888, + 572565292, + 598384503, + 48604501, + 591800481, + 607795741, + 962974649, + 360704292, + 697031858, + 243604215, + 684191387, + 216613857, + 98452961, + 84674912, + 640382065, + 288114214, + 268220841, + 571284325, + 10290148, + 143631661, + 189427196, + 218793845, + 690943134, + 938489265, + 850784848, + 790078410, + 690199469, + 311056499, + 874898481, + 181359038, + 730038630, + 535972977, + 976609238, + 14957487, + 664230835, + 14937134, + 768219184, + 993034373, + 370628184, + 396361484, + 258200585, + 693619766, + 890908489, + 431417705, + 944725121, + 910126739, + 200873881, + 17371681, + 627929316, + 478390309, + 635050857, + 641890709, + 129564667, + 348184506, + 510116066, + 734733445, + 477678774, + 166022080, + 805292828, + 551152216, + 261729070, + 656265687, + 718284007, + 672583619, + 31172101, + 86673781, + 754070781, + 284040575, + 347513831, + 126416220, + 165273497, + 433699640, + 128212903, + 893661256, + 783925700, + 48746233, + 195211976, + 615684438, + 634882248, + 817723056, + 129988611, + 634503132, + 534431399, + 903662745, + 617623528, + 927557310, + 18069385, + 252310250, + 240752760, + 625649892, + 783764089, + 630807662, + 901842620, + 987588565, + 452233437, + 598818043, + 43529061, + 114378635, + 570626488, + 928804995, + 192557727, + 580980604, + 923426029, + 509226486, + 499731238, + 932121392, + 834640561, + 120520725, + 620611413, + 458079845, + 365921687, + 85128583, + 414357682, + 415564149, + 473133864, + 704008642, + 50386138, + 847953200, + 213428192, + 114324675, + 82411813, + 551121920, + 489791424, + 717478777, + 92059208, + 478914940, + 216393510, + 406303741, + 94337437, + 659410974, + 749521019, + 494967163, + 257039837, + 159003908, + 818238321, + 508756219, + 115201414, + 172094801, + 287967626, + 83125314, + 354898893, + 144190239, + 980404896, + 961205290, + 506144532, + 329986476, + 347938306, + 362167724, + 630009261, + 397693839, + 568395533, + 135474949, + 461162005, + 244713821, + 266461737, + 772759315, + 231290765, + 580982588, + 212609619, + 255972936, + 83689263, + 804394253, + 742997603, + 563181112, + 237952357, + 216003687, + 290624072, + 216785423, + 240281852, + 394090433, + 873304812, + 627836065, + 612636015, + 575028025, + 847904982, + 305619329, + 298512708, + 538171836, + 555256840, + 359947164, + 192409836, + 422415079, + 677422009, + 925434845, + 384877329, + 902758485, + 530389695, + 936836708, + 680542433, + 980314998, + 983730526, + 961294167, + 130063656, + 879144990, + 647152725, + 837899759, + 928517489, + 987699476, + 195720130, + 673593960, + 915757943, + 333503050, + 593995595, + 346333369, + 251871842, + 582447389, + 416169132, + 223759677, + 957136823, + 944988282, + 334297104, + 215354334, + 383653440, + 364121335, + 8940651, + 479925279, + 901681853, + 371773763, + 833938346, + 517087021, + 213151022, + 780992340, + 246819400, + 206117637, + 182073018, + 218911165, + 101442633, + 338432781, + 177409966, + 224528315, + 562813502, + 680216149, + 267562050, + 939793266, + 586512837, + 465163490, + 803554319, + 720542260, + 487685889, + 138830096, + 666425126, + 804741628, + 589441497, + 33725235, + 300600493, + 291493401, + 306492041, + 993451810, + 391748853, + 662695483, + 818700109, + 418532288, + 415154350, + 149487965, + 436867162, + 378634562, + 638977883, + 468175747, + 580882273, + 510198020, + 990502227, + 674379021, + 770298609, + 734126342, + 880993255, + 199715104, + 655292646, + 80353527, + 404027456, + 52077217, + 892135174, + 75848033, + 271422882, + 748733615, + 478927046, + 504629584, + 515723428, + 962777972, + 879771507, + 714760099, + 802396561, + 756511660, + 221069449, + 234679878, + 188087791, + 57195105, + 755952971, + 832729373, + 441707193, + 975233735, + 167015173, + 590537578, + 223990992, + 956401068, + 117727916, + 750546816, + 814339618, + 332691164, + 278877878, + 735151416, + 762937634, + 963925923, + 241394329, + 120871810, + 182817857, + 25461625, + 195409328, + 520928939, + 504234202, + 191885612, + 430851210, + 844180516, + 973356459, + 504624966, + 865116599, + 337592187, + 535838311, + 336989659, + 905961574, + 512155015, + 47972041, + 80467223, + 782518869, + 303892313, + 304038619, + 98524105, + 948860214, + 51693470, + 785990769, + 725702555, + 22949119, + 633640214, + 170170618, + 610657799, + 479280993, + 162529854, + 403400007, + 880261800, + 140112000, + 140769581, + 469003657, + 151629767, + 284279023, + 483517703, + 554241366, + 955019708, + 191473946, + 304769306, + 159002524, + 942790057, + 537128405, + 39313898, + 165271957, + 764979259, + 170922159, + 190396436, + 301955174, + 828478388, + 605214433, + 618440128, + 785547360, + 789994183, + 724439339, + 815700362, + 297943016, + 779496447, + 761957261, + 494459298, + 362300426, + 25011070, + 952863427, + 636909175, + 153066809, + 602963069, + 794192115, + 592804656, + 607575717, + 80912339, + 320118446, + 832154624, + 977738957, + 281838791, + 770810560, + 160637789, + 88622027, + 91655331, + 131558388, + 246279037, + 325758018, + 647873813, + 327980229, + 745956504, + 454608333, + 275510551, + 491035996, + 578341759, + 309144260, + 84836637, + 268629677, + 166851233, + 372946402, + 12419308, + 976496431, + 715046849, + 586673159, + 310547180, + 88216885, + 257410658, + 63586039, + 253400022, + 307985163, + 43176416, + 688141789, + 588611307, + 147105381, + 411337967, + 194773937, + 354459455, + 534749237, + 394268812, + 713792482, + 694076963, + 564014545, + 156562250, + 621489217, + 199683817, + 656928358, + 427904333, + 729622413, + 476571840, + 875175104, + 447821191, + 187597352, + 855568586, + 938533744, + 960077559, + 987351300, + 751834356, + 368990799, + 538673986, + 26459726, + 963707588, + 503005786, + 826938348, + 297216454, + 878035280, + 322310301, + 824331842, + 701147636, + 260393537, + 497763875, + 670710319, + 328137830, + 669610837, + 937834082, + 952108329, + 886002414, + 46032256, + 317207170, + 934096665, + 165246418, + 206401549, + 778951930, + 837145491, + 770451866, + 528012900, + 265739794, + 292540064, + 453977860, + 754215841, + 31158343, + 349216516, + 481495923, + 180848663, + 993415071, + 187183720, + 995599333, + 172011220, + 771245882, + 916847250, + 70478627, + 971645781, + 219542310, + 342086402, + 473950571, + 5226309, + 179617926, + 619125803, + 387308979, + 386054124, + 529481778, + 394209203, + 724163144, + 29400080, + 227877673, + 143571309, + 747967869, + 852808355, + 446372167, + 543497908, + 265160091, + 998621848, + 841971698, + 851466475, + 257035279, + 256578719, + 647302425, + 62503983, + 996411803, + 926568855, + 819007069, + 657950186, + 983324785, + 576441043, + 623199867, + 537188185, + 446891452, + 283948012, + 186442965, + 595460487, + 342976417, + 227154825, + 206207722, + 136200738, + 187218581, + 944569487, + 446144924, + 38002808, + 576729709, + 25115909, + 240880092, + 231962738, + 997292212, + 824101218, + 64589779, + 764525884, + 325943967, + 482033544, + 786835514, + 468077066, + 745285798, + 89845414, + 489327368, + 33413890, + 526863614, + 540750421, + 709258798, + 874730369, + 848275150, + 651079146, + 818525875, + 221864260, + 913287067, + 312339048, + 508206963, + 269730987, + 217855008, + 543131096, + 357416223, + 312914935, + 827876353, + 434367049, + 246649131, + 747327083, + 51931521, + 855822902, + 100656849, + 557554307, + 777229278, + 101778752, + 830457685, + 18104466, + 595195718, + 435105223, + 425630333, + 608940757, + 784307580, + 192380825, + 16531918, + 407821122, + 333437378, + 581065934, + 428333391, + 465796673, + 560397201, + 838466003, + 748687449, + 243210495, + 37796678, + 345906143, + 845201683, + 533199200, + 68930685, + 385628937, + 298209485, + 392215354, + 788128097, + 957372215, + 709171262, + 779395409, + 623490766, + 948366413, + 684937011, + 805587259, + 849729774, + 16608749, + 598465802, + 841362937, + 814283321, + 183039986, + 529789023, + 558871141, + 803359673, + 425186335, + 298629295, + 639947466, + 57614983, + 566661328, + 349724837, + 857352648, + 761579972, + 51309842, + 229965283, + 442562766, + 449318615, + 414406357, + 377763855, + 496122699, + 79683390, + 597366209, + 769156337, + 861895411, + 319743119, + 98416621, + 626060155, + 12650534, + 479077853, + 175483352, + 630477276, + 258867261, + 832838845, + 446961507, + 622629336, + 742711464, + 601343299, + 494028546, + 857971679, + 553800783, + 565418133, + 558270702, + 179068516, + 165270152, + 392811392, + 660747989, + 657638430, + 649902464, + 166684273, + 592784489, + 621356018, + 284220266, + 175603685, + 234798010, + 944307798, + 550133543, + 688785449, + 983211217, + 3400319, + 794137631, + 380584588, + 98618518, + 127820915, + 375197361, + 459044907, + 10459186, + 242783452, + 692743622, + 107031393, + 577341584, + 672151369, + 384152192, + 487565311, + 222775268, + 953420475, + 277088336, + 249703365, + 401537684, + 512328625, + 484295890, + 926303689, + 374032541, + 636392084, + 823276380, + 404813070, + 550848860, + 922132397, + 385656555, + 692764390, + 318412899, + 529451229, + 174211112, + 11793432, + 893999550, + 232044510, + 620097962, + 366866360, + 992017684, + 546719028, + 545999242, + 66338379, + 356504101, + 236120395, + 302945458, + 924073589, + 891570266, + 94556048, + 612724268, + 947373679, + 902581814, + 617325942, + 229092067, + 94123395, + 153233395, + 417573418, + 881418503, + 670883041, + 197558948, + 386919768, + 815747839, + 879694835, + 665731319, + 382656064, + 689226478, + 93615480, + 321114165, + 330254782, + 559210212, + 692269773, + 10826923, + 792370210, + 517909570, + 694422547, + 847824243, + 722248802, + 477720044, + 129327830, + 669230352, + 452977061, + 773954657, + 381111807, + 239803715, + 23369709, + 409125506, + 199324327, + 922875078, + 87662977, + 467052613, + 107682950, + 783322772, + 919738839, + 249719858, + 981921318, + 965529115, + 266099709, + 7966177, + 946162642, + 346174810, + 215590407, + 275139131, + 277226162, + 325993220, + 278689395, + 81461489, + 846718424, + 889133130, + 151570321, + 869530719, + 389822789, + 455524763, + 270274010, + 650289255, + 519554541, + 361145631, + 182639902, + 167016260, + 432007969, + 61186492, + 89371261, + 517056150, + 286731171, + 754522057, + 252077569, + 591208022, + 647731507, + 516074255, + 128803673, + 862773453, + 254322828, + 390364794, + 599270231, + 990997577, + 653394014, + 572099633, + 197044235, + 955684283, + 720084376, + 555607736, + 38018300, + 903948056, + 959501105, + 637369840, + 737107330, + 227664256, + 125969019, + 623987746, + 706463806, + 546432385, + 150085747, + 548695310, + 876511279, + 711347932, + 948360786, + 202798205, + 930090943, + 534536595, + 583999182, + 316639362, + 597449902, + 59704669, + 870811958, + 859143383, + 400965438, + 510119998, + 226383868, + 490587205, + 266984757, + 87762420, + 926418658, + 332446558, + 840223342, + 553715693, + 392037171, + 274169506, + 663002709, + 40710596, + 35685209, + 896187320, + 711579885, + 844522980, + 947257175, + 595694624, + 994826246, + 802507403, + 983126902, + 952249574, + 81166143, + 343644327, + 535687009, + 421988160, + 851316754, + 307588133, + 800332875, + 120396882, + 996978618, + 969205346, + 552993814, + 951450118, + 445974328, + 398402369, + 528920036, + 810849820, + 299954419, + 476621993, + 181252309, + 616780198, + 88447564, + 776880191, + 400217795, + 666094871, + 94718293, + 107630860, + 844135555, + 414465723, + 745126650, + 75641238, + 243170712, + 949391735, + 502681535, + 23668648, + 442498517, + 172378349, + 602303658, + 807573757, + 66248686, + 302732102, + 624419868, + 526783119, + 214759879, + 56938848, + 773989963, + 6116688, + 529841719, + 791766255, + 355991306, + 452011847, + 274887655, + 919057665, + 864871858, + 917343711, + 578369119, + 361234802, + 95351090, + 860040594, + 330241482, + 132637235, + 155390119, + 70423475, + 644954261, + 604751333, + 735667371, + 422975210, + 529911598, + 545990160, + 215568029, + 784022917, + 392679125, + 150836434, + 465546536, + 276444712, + 710618327, + 458954173, + 832088356, + 746271789, + 54477633, + 521737764, + 240717864, + 495840303, + 951620346, + 760039808, + 659102293, + 688323712, + 854617182, + 492826493, + 607041633, + 300831073, + 450471733, + 801705878, + 333577406, + 478315774, + 83066062, + 495433048, + 272973630, + 505717658, + 97135636, + 822021397, + 716926942, + 570903994, + 827377353, + 76844756, + 747320126, + 258374912, + 890704745, + 103282482, + 144709901, + 250436031, + 607267693, + 232252368, + 815372524, + 463139871, + 246680768, + 475146291, + 826993682, + 14821143, + 582618000, + 534341663, + 631404550, + 541434981, + 665611801, + 439472516, + 897865317, + 484282471, + 561614622, + 180373148, + 860996285, + 530278936, + 115871409, + 817624707, + 791959598, + 665648441, + 773590979, + 353891532, + 43897111, + 549244181, + 525385983, + 356649028, + 855581819, + 730085270, + 781276214, + 553287764, + 480390338, + 315727600, + 589134012, + 349934365, + 37358253, + 133571856, + 809362542, + 512602058, + 984259663, + 964892106, + 830181682, + 193362496, + 289208475, + 858078775, + 335502210, + 668040627, + 123040187, + 723809350, + 392230477, + 349842690, + 176407357, + 519890462, + 803398589, + 844127922, + 279530764, + 777503580, + 825807028, + 874698322, + 654595778, + 299084787, + 448570056, + 998702756, + 878871152, + 144487626, + 280164554, + 541342381, + 683395342, + 704525843, + 635099071, + 871444074, + 854755313, + 545241191, + 416677760, + 908439008, + 6280612, + 113360698, + 825184506, + 498428555, + 659322838, + 206692702, + 819773326, + 78509813, + 575568871, + 494708703, + 692886408, + 198462687, + 994113725, + 185696109, + 819841991, + 924678596, + 441790433, + 160318877, + 126342606, + 132039028, + 890339217, + 35197293, + 483412951, + 290801064, + 910545488, + 236863515, + 46764274, + 464051392, + 705349721, + 56030673, + 373758335, + 542470180, + 379511807, + 807549296, + 566007825, + 62442422, + 816879187, + 335245083, + 627558082, + 670926079, + 913404550, + 981645396, + 607214853, + 111429998, + 360143626, + 820880153, + 700969905, + 390915578, + 81704698, + 606305205, + 818997036, + 839579420, + 205823519, + 155585230, + 145122266, + 964846227, + 268585342, + 450880808, + 290929733, + 701570811, + 422554362, + 176081897, + 921511615, + 101089094, + 288879064, + 468402799, + 234186782, + 332112040, + 832983691, + 926725338, + 327837559, + 991436149, + 518001660, + 474487819, + 656995807, + 899615488, + 180818148, + 499714157, + 959395358, + 274988400, + 388367489, + 439505828, + 696162650, + 510738466, + 986082850, + 229346437, + 255240424, + 293639399, + 194808292, + 13506092, + 609265792, + 464637850, + 75227982, + 840962626, + 267354439, + 336203474, + 439461853, + 840341864, + 721752873, + 776852512, + 592626781, + 135552747, + 495942883, + 255544023, + 844365536, + 800862206, + 971108705, + 717545873, + 513717583, + 793406444, + 439190925, + 321561537, + 700764137, + 250605404, + 335229767, + 583566674, + 489981661, + 757774134, + 655977442, + 243651798, + 967095277, + 10153428, + 836309965, + 309872372, + 342038642, + 349645730, + 792751025, + 990921299, + 760149052, + 567740315, + 271399569, + 175397879, + 33450913, + 651436244, + 481824213, + 403282862, + 194689102, + 143928749, + 640446543, + 650847561, + 165382333, + 21330574, + 559749504, + 282940989, + 635452680, + 198970804, + 787741454, + 224206403, + 116876475, + 888283066, + 155625883, + 860938482, + 99088315, + 484939080, + 364475419, + 153539142, + 226078558, + 750222544, + 213606507, + 688894008, + 276468095, + 278536363, + 309485454, + 494814303, + 565847172, + 185128670, + 474807123, + 433802845, + 898356688, + 43128309, + 943678481, + 969260612, + 22405733, + 710265235, + 117100653, + 838713994, + 728511539, + 888476942, + 495013699, + 520660543, + 580415397, + 712448051, + 742683544, + 462624548, + 480195166, + 360713853, + 296023939, + 136173400, + 767333058, + 887881473, + 565244375, + 692747906, + 432832017, + 25138485, + 638412308, + 130522256, + 576208056, + 84298855, + 410520161, + 416427322, + 389088761, + 624078853, + 902418781, + 760646470, + 258257149, + 899910699, + 776203807, + 19849935, + 646493819, + 560776196, + 546763519, + 823332256, + 734592445, + 614286546, + 616045382, + 989454045, + 17075584, + 7877742, + 502817732, + 224907449, + 855294437, + 101417127, + 807471111, + 560027782, + 533618440, + 678982159, + 848796093, + 689859567, + 190011906, + 5785746, + 42930470, + 192270620, + 880400034, + 838024067, + 121561205, + 290767336, + 111960881, + 853019340, + 341175094, + 766270350, + 188758306, + 727467556, + 136319432, + 576969623, + 280426212, + 623323983, + 774448576, + 588954976, + 315027230, + 803856696, + 29941095, + 431948971, + 142281161, + 925124433, + 861392125, + 80891864, + 972043980, + 629020667, + 561805004, + 312315151, + 476215536, + 771343174, + 987329546, + 357825065, + 336891650, + 411555915, + 343813589, + 195820445, + 882645414, + 410720520, + 753478695, + 663992720, + 774220252, + 749137259, + 930691248, + 434923257, + 161093539, + 770837781, + 354312961, + 193395774, + 367123461, + 565354245, + 679270793, + 397628751, + 217121216, + 11760875, + 403564348, + 71150102, + 368592024, + 897815353, + 994505662, + 408127559, + 13668410, + 69820824, + 69774071, + 861606001, + 604655326, + 121848283, + 363261206, + 533544368, + 538663570, + 172311982, + 220197600, + 172089912, + 165169436, + 429935475, + 65008037, + 699439776, + 273839877, + 490141238, + 490067959, + 444898877, + 393713858, + 176355122, + 59295682, + 892326741, + 281583835, + 687723650, + 870182540, + 346071449, + 332969843, + 335722873, + 337845984, + 45176399, + 24415806, + 2308862, + 1110263, + 952816287, + 413596322, + 457602184, + 608181126, + 138846196, + 683156584, + 648555388, + 136354769, + 70181525, + 911269767, + 348803783, + 586386836, + 95395008, + 639691462, + 197246507, + 784316873, + 351344494, + 516118995, + 133439447, + 209032763, + 754815525, + 844000344, + 579497382, + 543598008, + 669010574, + 810144603, + 990464876, + 974778641, + 697366177, + 327010262, + 370312488, + 560846170, + 792223978, + 70777692, + 730059355, + 645250397, + 267577093, + 38654537, + 752518626, + 382980134, + 931773562, + 481034793, + 391116196, + 978295062, + 460741013, + 36044394, + 427642224, + 654541956, + 229620044, + 480648144, + 220672935, + 74255693, + 164517499, + 848528607, + 698706905, + 270106207, + 72249359, + 728454879, + 401029097, + 749737699, + 540722419, + 515623264, + 186253746, + 447327384, + 667749960, + 257643019, + 53384358, + 244082175, + 319549014, + 824197936, + 312631521, + 223966894, + 407534855, + 232784358, + 271917418, + 921835724, + 796371425, + 768552953, + 771116236, + 720631769, + 176115214, + 463104294, + 32601129, + 873101983, + 726488097, + 905506187, + 772022708, + 790766539, + 277549142, + 258224017, + 534233396, + 457451484, + 984765991, + 666356229, + 285112732, + 105240204, + 928779057, + 733734550, + 426028638, + 85012999, + 607498383, + 350044059, + 192726117, + 785458212, + 5138745, + 638384576, + 530395046, + 160725892, + 734577696, + 298137775, + 647176944, + 636168408, + 916717020, + 145883949, + 21835951, + 609989524, + 624600036, + 130858009, + 196338930, + 205677297, + 242576008, + 182054034, + 173135017, + 310635461, + 239132350, + 820851500, + 952663487, + 842340211, + 870203762, + 136114077, + 875790965, + 997698949, + 398343918, + 120520969, + 730588957, + 512775855, + 8402306, + 149806096, + 944510804, + 590083469, + 73224200, + 638298925, + 377854673, + 108235234, + 523684573, + 737188402, + 2401175, + 346457936, + 172703383, + 68480745, + 645510646, + 29654483, + 134565318, + 758053746, + 173563088, + 30554840, + 677360534, + 923509332, + 473173031, + 395834641, + 895652708, + 605630278, + 508175810, + 764267340, + 286758227, + 744444264, + 379175927, + 449921848, + 733348406, + 580120246, + 517256243, + 809596999, + 389739963, + 149587825, + 518270340, + 781470036, + 338561638, + 390916754, + 176754554, + 761794037, + 291256125, + 837185091, + 732116166, + 43956658, + 150478758, + 774125829, + 643082844, + 433448966, + 145624080, + 658759579, + 975189687, + 182969393, + 969020183, + 514460413, + 407090123, + 806351506, + 546163661, + 456190832, + 767790206, + 497309281, + 279638005, + 353159068, + 188343504, + 276622066, + 11211935, + 845988772, + 129716351, + 179604516, + 901713398, + 807188467, + 221256876, + 372100198, + 210494116, + 3705926, + 424688858, + 241869215, + 463164360, + 789967778, + 906824777, + 30644170, + 922593312, + 870508102, + 295177668, + 871995365, + 945281750, + 819341940, + 739946801, + 12044988, + 154891550, + 478628932, + 972747958, + 904619787, + 377180378, + 731784350, + 399165286, + 818350623, + 864683908, + 829864725, + 859057886, + 870464298, + 550186631, + 806230328, + 156856889, + 902361490, + 150111030, + 427978050, + 635787880, + 202050879, + 942161080, + 109182608, + 896550699, + 225527937, + 1389135, + 745689842, + 86486564, + 864162564, + 5496036, + 777358075, + 770648663, + 79851200, + 949768534, + 180911475, + 432703028, + 450220864, + 512693889, + 78978195, + 536102254, + 846388768, + 709182546, + 684179252, + 588229545, + 465688588, + 62689190, + 231436507, + 444025359, + 446536019, + 498654777, + 254235486, + 757735073, + 3308698, + 204293927, + 166774429, + 206945668, + 669447860, + 587798803, + 968552651, + 702979778, + 509986268, + 421595208, + 658693753, + 311193363, + 667210544, + 522571593, + 622115838, + 276192827, + 342369481, + 249829775, + 310669449, + 143289847, + 192370577, + 276004383, + 46471923, + 517907769, + 38643304, + 859472548, + 63585522, + 426083874, + 59218909, + 808048523, + 857310500, + 634284520, + 914991031, + 768015314, + 338364133, + 56784469, + 549295962, + 905736217, + 850548589, + 436109554, + 602310229, + 280527687, + 581026012, + 250260519, + 94920251, + 687195072, + 715605344, + 812827227, + 121047329, + 820041695, + 944980421, + 761843831, + 669681665, + 893838821, + 636433333, + 658601084, + 775978999, + 693736, + 828142745, + 793907544, + 443095282, + 667829409, + 966972183, + 107051237, + 835205102, + 174982423, + 976935799, + 166285456, + 616988179, + 384074994, + 798097663, + 115797299, + 109600134, + 678026262, + 164419564, + 900720457, + 890698898, + 246533756, + 744699434, + 976145004, + 859338715, + 380534428, + 239842175, + 327532138, + 560228431, + 835422064, + 86109188, + 436136807, + 562260015, + 714422856, + 652486483, + 491382413, + 248558592, + 47127165, + 420724437, + 835853533, + 700496733, + 198441067, + 847132235, + 808758721, + 969536979, + 842604953, + 19246681, + 756169129, + 87299869, + 113484450, + 213818009, + 653256432, + 460648611, + 486615476, + 786937206, + 825708047, + 144959874, + 483005513, + 315277484, + 458118120, + 987810880, + 440448650, + 450597398, + 56606046, + 622491683, + 9315294, + 402591289, + 57507108, + 540247114, + 973140542, + 901497821, + 117059023, + 923403284, + 254770802, + 337402255, + 630798921, + 44869992, + 503635697, + 653696614, + 97691172, + 692823490, + 671486158, + 215593409, + 128049096, + 51064024, + 151859051, + 989625046, + 534568785, + 511865523, + 804590410, + 152789747, + 578002812, + 400643391, + 746641972, + 373386205, + 447966762, + 216855307, + 747531637, + 629084795, + 928318330, + 386974745, + 680022877, + 721786378, + 920395528, + 597250466, + 586201335, + 188508906, + 893020783, + 208741505, + 789442410, + 138210386, + 182816013, + 839489682, + 818535254, + 27724923, + 271657370, + 52380605, + 756435266, + 259760562, + 173264985, + 578466608, + 211415241, + 277351160, + 994433619, + 605014110, + 109737936, + 951816885, + 151872984, + 437301871, + 657772697, + 701015346, + 246627780, + 639946642, + 941448178, + 562440403, + 512597988, + 641431519, + 736319869, + 95465603, + 652165150, + 324041869, + 624372657, + 959333724, + 518346217, + 757774499, + 133957495, + 25561867, + 624193394, + 595748537, + 485385180, + 133084757, + 520071223, + 4078826, + 386659126, + 496469866, + 410370106, + 515826958, + 15107574, + 928205991, + 210199455, + 872281929, + 175547467, + 599313571, + 198410993, + 524338695, + 47629775, + 323066904, + 154106020, + 89360205, + 573686797, + 115368814, + 744836769, + 407702832, + 263786877, + 503687133, + 423034065, + 814447664, + 407373376, + 89879452, + 496409771, + 635738873, + 971649889, + 278605005, + 394342115, + 247223851, + 480025538, + 332259578, + 870606627, + 853005124, + 564178469, + 76818035, + 522787291, + 363424451, + 812925302, + 941133394, + 334980263, + 288203814, + 635000445, + 718067192, + 804859112, + 506098587, + 337624030, + 855847919, + 743511920, + 766591741, + 645185534, + 666495062, + 221502231, + 956728792, + 725035143, + 734771055, + 794004193, + 54537202, + 685441472, + 312704634, + 885657144, + 394300099, + 62867819, + 185463588, + 758479248, + 811173547, + 443026100, + 934869180, + 836211246, + 329303403, + 543539182, + 804216019, + 764975672, + 867375998, + 447868317, + 510966542, + 183996175, + 770858499, + 972270739, + 38602002, + 80079651, + 631160166, + 872300994, + 281068346, + 240997335, + 558428456, + 635393236, + 314092356, + 542158996, + 361794680, + 842118593, + 969462755, + 248845624, + 97040434, + 191026469, + 506195424, + 681539665, + 471462363, + 407031392, + 394239462, + 216587559, + 499172272, + 332717233, + 528497883, + 28397583, + 127451318, + 537488132, + 233106459, + 558910329, + 568846298, + 980238965, + 663990665, + 991044814, + 469848397, + 126594089, + 752774484, + 246840169, + 363050684, + 343002256, + 489655997, + 831774883, + 4605452, + 461419582, + 657440698, + 778869258, + 862580707, + 704169785, + 237590485, + 280719657, + 917848606, + 399201251, + 768310924, + 249798911, + 360027216, + 58620968, + 283331155, + 113392644, + 33209187, + 388100300, + 956342490, + 176128181, + 646260884, + 819012799, + 425679597, + 555714305, + 159394301, + 126727581, + 615741944, + 320363259, + 285920844, + 389710134, + 716652518, + 991139425, + 94780009, + 795769534, + 329150150, + 441979373, + 310264309, + 153137156, + 440310659, + 553597873, + 246448927, + 475695860, + 862712468, + 472822574, + 942394929, + 406325217, + 233899864, + 600655502, + 546895948, + 91896043, + 298293314, + 279708236, + 599795103, + 657181092, + 868248663, + 344244185, + 635095366, + 900328988, + 957509567, + 689693786, + 89137671, + 688078491, + 477664330, + 93445246, + 352223023, + 285209396, + 266489448, + 663740026, + 290760952, + 75807891, + 342104663, + 300477385, + 611318327, + 879011528, + 348294053, + 106086231, + 196436721, + 42553867, + 674326498, + 918025986, + 382097348, + 914538075, + 820088277, + 315177560, + 650795975, + 596956149, + 785016165, + 22574245, + 609766522, + 249342345, + 964856558, + 255079135, + 785320619, + 145692231, + 858090755, + 212951446, + 968821233, + 975005936, + 618307056, + 554840295, + 740845099, + 605303152, + 494750071, + 706309797, + 652583336, + 292329740, + 816031908, + 155579626, + 268639277, + 609245446, + 219889746, + 465165351, + 631815232, + 131531526, + 13062478, + 701402590, + 353034034, + 708865671, + 982572526, + 342768651, + 217796881, + 139746151, + 711073949, + 472232627, + 34719165, + 657057018, + 300804329, + 52433178, + 432447337, + 513173551, + 128419472, + 201276156, + 164603585, + 626836740, + 253252588, + 71654233, + 297537668, + 512351823, + 253067471, + 93486612, + 220517698, + 533772073, + 582928145, + 838113231, + 733856907, + 132050272, + 462980761, + 89920112, + 660850401, + 654018630, + 731325839, + 50814153, + 218810352, + 869687628, + 880218715, + 568822158, + 288206695, + 623106814, + 198425640, + 259896039, + 444148507, + 220412651, + 268566089, + 381656228, + 23542994, + 80244718, + 257392574, + 175154459, + 652689485, + 352631251, + 370828596, + 329552457, + 133958828, + 365912312, + 727582147, + 666037923, + 776103972, + 929325084, + 198793300, + 943852189, + 302232495, + 183812047, + 936180550, + 969000266, + 766663961, + 960600688, + 918582507, + 999670056, + 474277182, + 461748444, + 65009359, + 677365030, + 614150512, + 222438345, + 288914363, + 592560582, + 423273195, + 159464902, + 137919624, + 320902459, + 631475294, + 16946477, + 107593784, + 214540730, + 244393720, + 349479952, + 987091129, + 305316328, + 977991030, + 498549103, + 693936549, + 331120182, + 258373419, + 742637117, + 698882706, + 147205499, + 85413634, + 943554505, + 767016789, + 428963028, + 919921355, + 926169821, + 289139767, + 976246311, + 638471844, + 726514588, + 185575664, + 976506294, + 930935783, + 7899030, + 858614604, + 326844489, + 474869443, + 909620800, + 116140043, + 979361369, + 177465659, + 661377982, + 598710411, + 127139069, + 191418322, + 380466962, + 653272896, + 287567, + 354652750, + 912145420, + 705625688, + 374660379, + 231343714, + 97771001, + 891876637, + 53540505, + 791667094, + 995482807, + 727637761, + 547983572, + 687092037, + 69708130, + 294217809, + 527532069, + 721068029, + 551453732, + 681760971, + 334068170, + 789247970, + 426438702, + 724012901, + 249139531, + 535951019, + 332756504, + 966797289, + 860662712, + 278702911, + 326782086, + 895619691, + 920798038, + 766140628, + 576588310, + 147296278, + 668850596, + 439382457, + 429270355, + 351998820, + 524971900, + 783004434, + 387712173, + 54031826, + 870318582, + 856012804, + 817396913, + 810177487, + 207892957, + 905753750, + 27885911, + 325103519, + 452119173, + 625567570, + 212572397, + 942205709, + 336507021, + 558807126, + 968498395, + 985132655, + 245327149, + 49752084, + 211900974, + 604855819, + 925583760, + 986598087, + 70632960, + 761113431, + 530594780, + 305809806, + 393660218, + 200868866, + 433560330, + 997359107, + 398706127, + 825555234, + 946863011, + 506217884, + 334725323, + 51045542, + 920916934, + 594106530, + 487871743, + 891651139, + 110176725, + 703652962, + 117816983, + 106505360, + 192616634, + 55941559, + 617941944, + 805930388, + 860552337, + 379574871, + 629395935, + 469476311, + 808933250, + 582355342, + 430107227, + 435443400, + 342970580, + 848085481, + 385172863, + 83448568, + 652475389, + 526083523, + 527130743, + 97221104, + 36167930, + 288003986, + 830630121, + 908895299, + 359910037, + 721699672, + 958988655, + 507214951, + 340135063, + 333733639, + 13674951, + 138530490, + 504238845, + 853597669, + 161475782, + 580665957, + 178508105, + 166111720, + 555115016, + 991760302, + 197485259, + 958992996, + 15071677, + 864308161, + 806582627, + 885848752, + 789825399, + 281935088, + 892310960, + 850547536, + 98481415, + 864729687, + 273563786, + 501402503, + 344154933, + 371795490, + 463630762, + 320674404, + 11605312, + 687678118, + 934722196, + 269842525, + 364241091, + 315653646, + 171093501, + 116825016, + 183062633, + 489071224, + 111624964, + 145418424, + 76991024, + 87698922, + 681416157, + 139233010, + 667310734, + 119779365, + 932494558, + 66147144, + 122135069, + 467002453, + 722638346, + 60268554, + 589256691, + 648832531, + 734269159, + 882220814, + 571233622, + 336704681, + 190599105, + 436244589, + 875907342, + 789462854, + 393904393, + 407069785, + 31089499, + 448813227, + 629879357, + 67443796, + 145861820, + 197807204, + 657770049, + 411923142, + 705851411, + 235274928, + 967830490, + 461363596, + 443579187, + 566376270, + 304414, + 862248824, + 349509086, + 278475478, + 635642462, + 237584288, + 897702621, + 893664663, + 318171311, + 262992297, + 142347879, + 841650248, + 136917324, + 358280765, + 193390502, + 140045350, + 651227451, + 215213895, + 897345550, + 635899844, + 797985757, + 192931770, + 154401131, + 725433345, + 769010047, + 714105431, + 652404413, + 412773010, + 456397176, + 659475790, + 299563795, + 614472636, + 600074790, + 235998625, + 931589204, + 890163044, + 139305752, + 854292755, + 783643341, + 96761775, + 656652556, + 20269319, + 597959250, + 781095220, + 488335754, + 25384289, + 204738305, + 330416051, + 937952425, + 378552079, + 291837768, + 684930158, + 14292337, + 774441313, + 611889643, + 741677935, + 300904028, + 205082077, + 498876817, + 46089641, + 909831286, + 323949211, + 824866843, + 391993628, + 575000635, + 128568245, + 526646865, + 406300608, + 345148979, + 175895067, + 627665111, + 652871345, + 692092032, + 677330810, + 519371210, + 543410910, + 366080754, + 737187250, + 397416980, + 768852204, + 987061801, + 676183914, + 379982656, + 684601580, + 811927041, + 802592418, + 226626562, + 972281546, + 808144621, + 158223357, + 358913911, + 388441209, + 265855738, + 534857947, + 71389615, + 103563839, + 895063949, + 746667408, + 56927546, + 550920539, + 785598733, + 525132464, + 892093376, + 908206382, + 585287656, + 157284192, + 24407730, + 919188293, + 577685415, + 67780334, + 320443842, + 309094982, + 754227585, + 610293052, + 738040831, + 735632300, + 74161859, + 637987813, + 574366903, + 73270901, + 500225322, + 37986315, + 280581782, + 788866758, + 721731761, + 928927961, + 159385996, + 406039767, + 10269003, + 388473429, + 321262537, + 322101785, + 4454131, + 22478206, + 184223057, + 168137925, + 147693657, + 809017438, + 801431587, + 701682566, + 258792508, + 656559852, + 985334602, + 990809436, + 311274748, + 308399634, + 221681015, + 550316610, + 184623302, + 300892135, + 9156375, + 426367270, + 800641282, + 351118770, + 222110769, + 284776345, + 49516993, + 837633972, + 64611873, + 588156718, + 668443287, + 858197351, + 777464681, + 426267762, + 561354310, + 688175593, + 565505951, + 279429625, + 106183627, + 276852201, + 311951390, + 624204001, + 112472391, + 503958006, + 390597914, + 377471304, + 593586712, + 757513889, + 779390823, + 891189507, + 798915371, + 508053736, + 754573014, + 808056502, + 229942823, + 463296574, + 587119901, + 197470912, + 828879754, + 727876786, + 350586107, + 653181222, + 772746795, + 320171518, + 500923081, + 245425157, + 447068054, + 46252616, + 297556685, + 284867168, + 632569906, + 551055123, + 617070632, + 851735271, + 584875245, + 941473359, + 92457493, + 419046933, + 716985430, + 486071397, + 169289939, + 316572219, + 776539700, + 207386897, + 588027400, + 904565878, + 755780876, + 796074629, + 359992320, + 192597500, + 976686470, + 517789524, + 949350410, + 357708322, + 667423706, + 402310034, + 152801561, + 250749506, + 524999951, + 122639864, + 568007236, + 964185058, + 206706624, + 642410358, + 272227710, + 577265040, + 466729325, + 830979122, + 823567773, + 642286475, + 282027237, + 236467373, + 856165086, + 835380102, + 496387654, + 214254360, + 347384772, + 893096173, + 891014026, + 604944140, + 196083220, + 105676788, + 638228703, + 540527190, + 286965229, + 883210063, + 357988770, + 713614905, + 2415257, + 882829514, + 565608495, + 394942872, + 165977547, + 135077290, + 116979442, + 458679475, + 238495905, + 150470735, + 253963263, + 218221515, + 792276584, + 29151071, + 58585203, + 929358967, + 37910278, + 380784330, + 930003338, + 451465363, + 620841717, + 669185416, + 139853995, + 456998220, + 892342453, + 847146100, + 489536906, + 643326749, + 377595067, + 718977239, + 497382465, + 896532284, + 521571148, + 16602370, + 398812482, + 746514321, + 414042438, + 341521608, + 288987276, + 705099078, + 679975330, + 525056116, + 481073871, + 241397964, + 51056266, + 863844404, + 672199294, + 542337208, + 349722977, + 670149923, + 155617117, + 93932276, + 978200644, + 909605408, + 949524, + 236845855, + 881442384, + 373821431, + 238050740, + 836801837, + 855088726, + 285742946, + 231590600, + 441957455, + 402402291, + 969433560, + 854266729, + 870087258, + 164095154, + 295513901, + 416008440, + 165195909, + 854077648, + 667431042, + 914884595, + 465830385, + 306148058, + 231186323, + 617587540, + 581490937, + 422637192, + 248249036, + 438171634, + 72733819, + 916923059, + 107700046, + 176542828, + 585195119, + 330353529, + 770127666, + 407383679, + 570939418, + 244728604, + 338014930, + 916190883, + 127657387, + 71614756, + 473988455, + 218481192, + 409776282, + 526748624, + 497383607, + 323352893, + 530918187, + 620389662, + 9537962, + 423750522, + 652080908, + 491551459, + 517358132, + 458631573, + 89806489, + 24385933, + 629493568, + 789712206, + 151670169, + 541501250, + 789025020, + 671085286, + 897889047, + 684930145, + 673314981, + 602797516, + 73449458, + 193457294, + 185897371, + 789589234, + 185622204, + 236137593, + 477722702, + 855345928, + 442489430, + 992123228, + 903212654, + 777536059, + 262506086, + 88297112, + 656852473, + 259300817, + 830380056, + 651814246, + 914288113, + 157910472, + 438177584, + 423134229, + 513684977, + 996136822, + 600695361, + 984628366, + 41943515, + 944917173, + 528175458, + 620789411, + 814963688, + 517241114, + 782189967, + 159252370, + 937461142, + 446451027, + 708943124, + 283370569, + 209880085, + 975707674, + 744799044, + 774843026, + 313493944, + 658322991, + 371347758, + 559831878, + 157873389, + 76212297, + 915488512, + 209401681, + 908025223, + 674940310, + 52017183, + 436045571, + 46505590, + 985097990, + 680580557, + 53937397, + 618160033, + 135988050, + 56049002, + 208387808, + 891759332, + 810418977, + 863839983, + 523622609, + 500481015, + 576135350, + 10686203, + 397417576, + 481061629, + 307662951, + 312257494, + 412485832, + 621056891, + 166611899, + 262210239, + 612077120, + 133164938, + 777569592, + 630958344, + 362873899, + 164976356, + 975194448, + 749756135, + 331809667, + 278159528, + 261395577, + 174450093, + 634805739, + 64617891, + 415756338, + 4033163, + 296645456, + 424023797, + 606543189, + 478874339, + 932178832, + 136167200, + 117189166, + 175040482, + 275138410, + 31240964, + 210160888, + 974210525, + 50629182, + 474006426, + 836700293, + 460268598, + 740719631, + 455562818, + 241118244, + 136760592, + 302731236, + 738895019, + 879914491, + 349647808, + 636994844, + 599936812, + 603839800, + 346492377, + 255058321, + 73426869, + 692243806, + 682641966, + 610619140, + 446996751, + 226953813, + 580434985, + 578050365, + 642595361, + 295967921, + 693526601, + 725416747, + 116820808, + 967477909, + 280134595, + 676612089, + 517671519, + 886594447, + 973282362, + 42339583, + 936627064, + 351932549, + 668065889, + 457516096, + 889707932, + 379745708, + 115949646, + 606345711, + 388388876, + 929880595, + 362797861, + 292238510, + 607623289, + 999594967, + 874919334, + 144860211, + 386599856, + 1699482, + 840456647, + 631518436, + 687906856, + 315952961, + 760886266, + 924265028, + 441000508, + 785521306, + 305348237, + 804669723, + 772022373, + 346186082, + 203723401, + 62185566, + 804519812, + 205328884, + 923972370, + 677246876, + 803806231, + 684612587, + 761287270, + 61132722, + 359167983, + 462627054, + 815230130, + 220374470, + 117201013, + 610636630, + 394208197, + 162900354, + 506015199, + 509423294, + 217609335, + 598086442, + 851937448, + 934757772, + 796171910, + 928811611, + 846218472, + 141915387, + 589103505, + 649492027, + 602417276, + 560014173, + 965219668, + 302163396, + 487808272, + 907482829, + 787556591, + 556776248, + 978234014, + 670008374, + 529147861, + 839702292, + 754792377, + 941318093, + 131369778, + 412845893, + 908694034, + 51970414, + 602383219, + 676162990, + 644000689, + 273258960, + 323426017, + 474965518, + 381190287, + 281186382, + 240045859, + 960377245, + 68926098, + 463286963, + 107785425, + 480511115, + 281811699, + 630214041, + 865975392, + 274127532, + 96302395, + 345491867, + 600984131, + 490247554, + 363535522, + 955301509, + 649414343, + 993595317, + 328949371, + 126683430, + 27733669, + 849697016, + 668655944, + 687434558, + 721856075, + 970429213, + 274602014, + 37941595, + 92715425, + 939775532, + 235816672, + 538449238, + 487884414, + 897708869, + 220744621, + 465977582, + 390223989, + 303867819, + 557870569, + 460155638, + 906426832, + 233231481, + 631578455, + 172033823, + 397181613, + 708489667, + 624154057, + 592717130, + 743753275, + 927559361, + 46559424, + 781029749, + 621293546, + 314523301, + 364021933, + 393832400, + 232535495, + 653981191, + 743515017, + 408512419, + 812789950, + 542131408, + 669602774, + 820508123, + 411303526, + 967821621, + 573436353, + 172407870, + 556795710, + 213671521, + 669382439, + 194987885, + 495976913, + 184501617, + 763969279, + 457516106, + 851141699, + 204667598, + 640960415, + 811094628, + 374352816, + 362928109, + 809559039, + 262674637, + 321875492, + 260531771, + 914962737, + 285690992, + 459879912, + 621934918, + 385119381, + 549830117, + 95859292, + 698460511, + 202780296, + 855989941, + 902381118, + 687007344, + 682821441, + 753952454, + 433030274, + 317830055, + 715908362, + 48732071, + 796526682, + 873943675, + 706181622, + 547361635, + 820389503, + 972727888, + 564844188, + 695398538, + 273826648, + 498457570, + 310324366, + 446701056, + 982922131, + 221899762, + 568182924, + 534335303, + 400733422, + 156843792, + 670223029, + 331574138, + 481115886, + 247452622, + 55453661, + 941563227, + 727627211, + 987212824, + 705277452, + 485962762, + 738491202, + 689938383, + 82773730, + 939375215, + 830788976, + 327499772, + 104342946, + 298409296, + 416064314, + 634395576, + 878104321, + 461452271, + 469061094, + 818111640, + 498049425, + 628020232, + 799957654, + 152493078, + 925287039, + 943681057, + 194908240, + 280982264, + 853350962, + 697193578, + 437097163, + 242188743, + 456468022, + 269987675, + 423564240, + 513854789, + 727689198, + 874387254, + 24539819, + 993601316, + 932352756, + 895100345, + 876464800, + 484200097, + 622354267, + 592742184, + 462697102, + 810512243, + 541459545, + 506154150, + 791120556, + 540491394, + 565214336, + 626701378, + 375118197, + 512031448, + 438955807, + 846326154, + 938794283, + 698135355, + 931342836, + 377032737, + 339112292, + 121252305, + 44108835, + 893722320, + 13396583, + 299528066, + 579300010, + 82255694, + 612397499, + 744706789, + 956369312, + 526920010, + 208170799, + 268890016, + 978221661, + 377157514, + 191016943, + 856523648, + 855790498, + 220342995, + 456564892, + 772439147, + 813592500, + 646476092, + 15491034, + 288743148, + 673548325, + 128225695, + 124937329, + 224736652, + 855253658, + 406295837, + 503001797, + 64341232, + 199844385, + 24735455, + 473482603, + 793357233, + 547437412, + 386133014, + 67065209, + 921557597, + 25488678, + 591053067, + 20836806, + 66860595, + 778732217, + 283014430, + 163834046, + 723423164, + 973334764, + 57513605, + 477923463, + 139531424, + 330796118, + 787039958, + 20228544, + 6985631, + 438279912, + 507608779, + 308053256, + 305763699, + 967600782, + 755669267, + 822324539, + 471476584, + 831831905, + 974648749, + 991523837, + 521092141, + 30882130, + 830014723, + 281782048, + 938982501, + 408279789, + 200422319, + 341675477, + 923195793, + 788763010, + 959748271, + 943630278, + 793818463, + 31311048, + 585869070, + 329545744, + 58284824, + 380148932, + 266892488, + 421766414, + 634991287, + 776966072, + 651605209, + 248208428, + 229612741, + 671786951, + 125084578, + 532290406, + 605551977, + 129804760, + 502058978, + 922644095, + 470407, + 496351205, + 628049112, + 992581783, + 537671028, + 201747235, + 691218163, + 578430352, + 911628151, + 559274919, + 847941020, + 206145775, + 41656465, + 649503890, + 843629834, + 969978694, + 433326934, + 582062925, + 463806228, + 96451201, + 865439889, + 429395407, + 899592530, + 670809477, + 114416573, + 337308289, + 349168879, + 469402379, + 898913332, + 562836958, + 946610587, + 683378794, + 553574917, + 414203968, + 805133006, + 224569257, + 136712074, + 400636967, + 576270155, + 5344381, + 104198047, + 891983151, + 51007234, + 669603234, + 907457848, + 794477741, + 224303538, + 605753086, + 585731704, + 191577548, + 186251870, + 144574837, + 246814917, + 732912938, + 497061552, + 757918293, + 658058121, + 776047801, + 473882865, + 905965614, + 18796417, + 348212555, + 42686486, + 371970187, + 141908636, + 589459939, + 781437982, + 266678843, + 842067654, + 697074511, + 935860800, + 514849716, + 846810992, + 914473210, + 451887945, + 998238630, + 109924734, + 691095849, + 472407506, + 836115877, + 615758817, + 638388913, + 909099757, + 672593003, + 904315729, + 576553929, + 96808214, + 630695532, + 237838587, + 918670395, + 820555471, + 315336915, + 549736799, + 294626038, + 917900469, + 367382499, + 496537949, + 141825855, + 765280396, + 825802453, + 986094170, + 435781376, + 706614652, + 585075021, + 188977555, + 890805043, + 940722746, + 368449044, + 181646535, + 151581907, + 968207178, + 34015246, + 170404396, + 32446332, + 69243485, + 704925550, + 828384700, + 274617426, + 916512673, + 978986278, + 415793016, + 861562806, + 135487096, + 480153477, + 993113813, + 433472514, + 945280237, + 926859660, + 632905962, + 900459005, + 977093823, + 851853757, + 826623315, + 22001001, + 796399941, + 331667535, + 450227314, + 631347968, + 641792584, + 905994513, + 643846830, + 876934116, + 363031276, + 947113432, + 710060026, + 935607465, + 522126001, + 712255058, + 940212107, + 366562826, + 182996922, + 170275342, + 154878327, + 765436522, + 366731965, + 253854004, + 301980160, + 796343563, + 715845727, + 941103185, + 800891133, + 783171966, + 522019036, + 747063004, + 601250875, + 911193769, + 562202160, + 468467012, + 564232967, + 68124835, + 422127491, + 485225648, + 855283433, + 276572321, + 501415457, + 992395225, + 328698124, + 926227273, + 106341374, + 351704308, + 722228780, + 278384473, + 914460965, + 19023395, + 115018861, + 82368655, + 841267305, + 14037648, + 62992766, + 921676638, + 393059044, + 606987157, + 609817997, + 1583504, + 856393709, + 136308473, + 635969522, + 464713096, + 180518477, + 166603379, + 939290322, + 692144922, + 183916469, + 901759790, + 904065859, + 229288030, + 41005128, + 185832591, + 735739475, + 960659505, + 330954967, + 892557588, + 314373365, + 811921889, + 839984868, + 88985159, + 667246963, + 682830338, + 923618163, + 206990570, + 105610067, + 304273574, + 906828488, + 915804743, + 197609782, + 384082648, + 547050412, + 762668844, + 150217486, + 997085028, + 983455126, + 847056495, + 910163732, + 485644031, + 750692193, + 296161443, + 965300228, + 445528678, + 507085306, + 523007323, + 269038543, + 28239427, + 412090614, + 847845288, + 390672668, + 58163751, + 260862379, + 13028972, + 441745897, + 212183930, + 101720293, + 82513313, + 256526524, + 908180411, + 244299519, + 862195814, + 317086139, + 11015140, + 660704122, + 682186282, + 313943155, + 348042738, + 793818179, + 889111686, + 202411186, + 388877845, + 864689946, + 667703714, + 363270490, + 223666338, + 373144406, + 13763356, + 713612531, + 971516247, + 957950300, + 498765648, + 659684233, + 697638235, + 136575037, + 976322873, + 33649936, + 301710157, + 642899776, + 485470483, + 585121657, + 831067190, + 910604999, + 343531530, + 240869511, + 586366689, + 519242158, + 41712328, + 265004350, + 998805458, + 419691613, + 432417500, + 663695849, + 536751273, + 955722068, + 17978667, + 561481452, + 51281261, + 626595938, + 551621618, + 696756282, + 101513253, + 532699155, + 360533315, + 467385310, + 935824910, + 282370173, + 170923127, + 893750926, + 16270915, + 62734620, + 325702641, + 963767826, + 566963047, + 431493823, + 795823543, + 108688544, + 645056965, + 676994545, + 200328285, + 769503249, + 189488537, + 55617085, + 506292678, + 773722534, + 641560389, + 432609475, + 769778940, + 253556555, + 588146310, + 684136538, + 78124794, + 183425707, + 183511777, + 906199417, + 189279392, + 427402138, + 632149794, + 173565810, + 953626710, + 189754459, + 324233253, + 158113224, + 945676087, + 859108298, + 8946951, + 100880408, + 612412139, + 476432352, + 881745196, + 951365388, + 123472835, + 565638008, + 947572037, + 968585181, + 882780878, + 90040014, + 778579773, + 164137269, + 673926607, + 703711966, + 942631818, + 501578155, + 274585477, + 560219349, + 363437247, + 3789861, + 509813286, + 90968478, + 502448417, + 71700231, + 121024400, + 397727666, + 30262975, + 245025931, + 21524531, + 859439691, + 432745084, + 523385617, + 423639439, + 999880629, + 956764113, + 338718367, + 453073080, + 679589368, + 734280427, + 755980123, + 654863818, + 236365483, + 773589820, + 872894174, + 784344977, + 703154416, + 248713614, + 848313626, + 782899390, + 970734164, + 494027309, + 866695645, + 273909687, + 436042573, + 706770029, + 530226271, + 982672952, + 321796119, + 187554338, + 183097622, + 897648124, + 419484472, + 110675630, + 269950440, + 261057644, + 413520402, + 274518237, + 616438252, + 941943897, + 570798084, + 408410814, + 484656372, + 242122967, + 348091784, + 286183382, + 521462947, + 173735224, + 595106191, + 950003997, + 129342147, + 299068448, + 364422219, + 514193088, + 15701787, + 819871850, + 361034880, + 323440427, + 661129888, + 51457852, + 6087163, + 532710995, + 671111438, + 305997058, + 385409939, + 64711600, + 763399581, + 566324045, + 777456631, + 586548880, + 89591274, + 714631738, + 311431678, + 353478258, + 72049903, + 662330948, + 999933483, + 136498104, + 678763605, + 445570509, + 917459013, + 292508552, + 219161926, + 481408827, + 716415224, + 935269007, + 100417798, + 767799942, + 473015403, + 854549668, + 206508837, + 368244973, + 362905078, + 837216484, + 694008919, + 407415965, + 716431104, + 65947961, + 57025631, + 733339194, + 914430847, + 334515284, + 231720669, + 352880787, + 668798278, + 183680492, + 855511051, + 532177371, + 281084894, + 431119066, + 615405291, + 878312881, + 233479684, + 244469059, + 823956809, + 897858567, + 957255251, + 536638444, + 275565917, + 241936775, + 410396607, + 388194722, + 672131613, + 558760843, + 883957452, + 404180216, + 710267018, + 545536032, + 25174411, + 849873347, + 593780860, + 240713189, + 160024224, + 302867295, + 463400948, + 558088844, + 321555345, + 47916230, + 825119524, + 436955918, + 943774082, + 92823595, + 345943124, + 842593213, + 884662371, + 741747402, + 230323542, + 875079028, + 87983554, + 68888792, + 547097374, + 627883738, + 275945139, + 830353940, + 559648795, + 567479938, + 219665348, + 744925210, + 1163997, + 534092314, + 442506950, + 420619766, + 710563332, + 505809331, + 426730663, + 935036050, + 64941741, + 697804818, + 606660355, + 685987419, + 719714660, + 610617127, + 878759734, + 24972854, + 191580518, + 998975053, + 121303272, + 275914368, + 127720450, + 653094330, + 875749998, + 299828168, + 232659630, + 44914060, + 93263882, + 801862212, + 737475492, + 74385252, + 156920367, + 681766353, + 340913296, + 699008683, + 734623133, + 415844565, + 944495967, + 672920866, + 766891511, + 767594762, + 574319952, + 226540889, + 523424404, + 981407949, + 529184836, + 462730063, + 34328460, + 363385295, + 187695724, + 132189977, + 66603120, + 592723454, + 992694973, + 509538324, + 330671153, + 344255798, + 535581700, + 709312207, + 973492318, + 838250325, + 388718532, + 632402871, + 432577368, + 49946823, + 435770116, + 106288852, + 981315996, + 22632722, + 210110134, + 660659803, + 560209583, + 930422039, + 945303113, + 140798752, + 944916888, + 693730187, + 60990064, + 105893799, + 39022610, + 548052896, + 378923552, + 223214203, + 847393047, + 577108062, + 507518546, + 963144246, + 890793353, + 197234647, + 702154090, + 101209457, + 710868315, + 935249167, + 30573853, + 286223791, + 562385943, + 82702114, + 550084825, + 521653672, + 423348505, + 980479586, + 433458885, + 652521797, + 815835203, + 857896213, + 150277480, + 732682719, + 456899269, + 851975779, + 320351423, + 491250521, + 970235745, + 480322230, + 418889988, + 610773350, + 294596588, + 591365247, + 373579525, + 853979328, + 4751977, + 984754926, + 765956895, + 13100905, + 316796957, + 398885858, + 841281036, + 831903522, + 192846690, + 366580510, + 368996525, + 661424861, + 34030728, + 55540846, + 499062437, + 636816111, + 332779647, + 887540155, + 686828846, + 9443882, + 35098624, + 130965322, + 407327428, + 803573143, + 755448642, + 30836627, + 805904208, + 986554620, + 327187473, + 594883085, + 923273408, + 986286285, + 298690846, + 176015404, + 950767596, + 622600844, + 66188996, + 232323184, + 538880094, + 984766983, + 54255148, + 32481802, + 327482959, + 239928001, + 440520915, + 440336843, + 320667910, + 505234672, + 782393333, + 576889536, + 313502095, + 905666236, + 441351914, + 230380912, + 357038327, + 762126010, + 473918298, + 133006831, + 73127677, + 99123113, + 724765120, + 671941182, + 410466277, + 417349613, + 361713204, + 488413940, + 758809788, + 810409899, + 185489272, + 970734562, + 313521540, + 245315146, + 737144408, + 391108563, + 907655659, + 177381120, + 418351101, + 87953075, + 206123025, + 596535639, + 250034171, + 855681349, + 467342866, + 261630004, + 859923581, + 50024525, + 826619881, + 418391686, + 345997591, + 988420069, + 105473816, + 62589645, + 558828775, + 719647968, + 629130337, + 109201882, + 421252253, + 613028452, + 630833549, + 725873419, + 632314721, + 491876937, + 876658597, + 419461057, + 386158705, + 297446356, + 503862103, + 655852639, + 965498146, + 923976228, + 754626573, + 494682905, + 898843954, + 686406786, + 167635410, + 236423139, + 729154638, + 504691365, + 960261551, + 98418571, + 193865033, + 175624526, + 432305250, + 400704260, + 625737985, + 934029091, + 835677162, + 551568858, + 753984660, + 493505892, + 874380909, + 953453117, + 569382676, + 696936412, + 160476772, + 494818142, + 487472152, + 29630998, + 135606328, + 875400494, + 278814602, + 456461507, + 382307401, + 729304058, + 966527349, + 947833165, + 136448477, + 156557075, + 196397538, + 240873095, + 689835897, + 178863759, + 783832795, + 245103035, + 93040579, + 772538741, + 213270407, + 673934981, + 639178540, + 493592145, + 468629718, + 674559007, + 464683924, + 627690893, + 217476312, + 459627876, + 814503673, + 686199576, + 857235082, + 448043401, + 181637154, + 346293237, + 994418657, + 984137459, + 726332281, + 247761364, + 978273323, + 865494300, + 917672842, + 69941958, + 216104441, + 413889783, + 971287737, + 722209236, + 181840039, + 656552048, + 853173528, + 423345991, + 986830923, + 665935135, + 127350482, + 66302556, + 680736473, + 126276018, + 269341437, + 992270865, + 736250190, + 540563043, + 682297769, + 255937194, + 989721217, + 204671764, + 612113371, + 911281153, + 511839224, + 793694231, + 305098171, + 757813010, + 697336108, + 524098067, + 364375814, + 291599192, + 807152784, + 94366511, + 737606082, + 697949670, + 194230622, + 606687813, + 633197229, + 935110119, + 613145859, + 532048859, + 883880876, + 372409458, + 60987564, + 855753217, + 744367968, + 832419846, + 59622005, + 783899609, + 497843877, + 617880397, + 403903540, + 686487357, + 50539587, + 988004764, + 161837810, + 666440447, + 242042563, + 377899570, + 886989760, + 929870399, + 624918243, + 677842746, + 132041497, + 835639494, + 251884449, + 550169386, + 708525526, + 916465605, + 832512317, + 709345885, + 284435651, + 368154784, + 974272608, + 719607964, + 925550781, + 155856877, + 651933758, + 711448155, + 242319241, + 883315027, + 468027123, + 892563390, + 92147669, + 606274404, + 911243333, + 555120181, + 32742985, + 242550783, + 346454172, + 346929928, + 603520579, + 331058136, + 501535527, + 779324186, + 626383133, + 179010621, + 817826033, + 402716486, + 554696923, + 236619191, + 278921870, + 779452361, + 109287852, + 199186619, + 175292215, + 450642113, + 548974564, + 250969917, + 547621510, + 901715078, + 796931585, + 753582648, + 85800934, + 975418251, + 495603444, + 510539119, + 727113784, + 126730162, + 83237648, + 987541737, + 483162227, + 616224367, + 772901236, + 443208187, + 122099225, + 356927666, + 820158698, + 416385766, + 311399582, + 325140764, + 319873117, + 956114600, + 963236767, + 161450969, + 762166755, + 980969756, + 767901876, + 990992147, + 835906733, + 108206914, + 22021430, + 776903613, + 266902868, + 221865653, + 588408267, + 624554942, + 179390801, + 985718936, + 753502992, + 664748023, + 761637338, + 826111598, + 594817127, + 403430837, + 577677656, + 624416964, + 60891121, + 814554950, + 961244461, + 940541328, + 564259884, + 566398946, + 401718792, + 897735064, + 610558018, + 218836720, + 632403250, + 311870293, + 133368587, + 246533847, + 360377244, + 115474691, + 330500694, + 985718642, + 625551480, + 240441890, + 947103770, + 635043276, + 870431806, + 130367354, + 343231803, + 207495573, + 557289394, + 260759235, + 852267286, + 135704509, + 81173508, + 99182474, + 195215613, + 423000582, + 920597624, + 975992923, + 510627398, + 256030214, + 94103446, + 988985776, + 555562116, + 616015568, + 731712387, + 710454343, + 156606440, + 900409622, + 976201911, + 104361900, + 448154852, + 273186309, + 579310826, + 27340896, + 764818310, + 20488705, + 462406228, + 653865425, + 818312834, + 80304313, + 233244692, + 21607464, + 769487868, + 158340002, + 229337847, + 401439086, + 91730997, + 240263237, + 498061283, + 372913682, + 374044781, + 671972699, + 186972594, + 408306235, + 562351472, + 880112348, + 990472377, + 635471666, + 215435701, + 960775991, + 537287261, + 139584569, + 390944107, + 904406787, + 800263495, + 8895680, + 726211712, + 448016388, + 333889584, + 163873675, + 532821617, + 174630534, + 27246886, + 695021913, + 845168212, + 346178383, + 68242307, + 663420037, + 921107521, + 41171673, + 225545349, + 553665894, + 261254410, + 461651765, + 208252577, + 107042483, + 171890929, + 207178899, + 820978157, + 330089199, + 126650900, + 194430489, + 645010638, + 594603091, + 269911620, + 28737411, + 588714785, + 100859050, + 95891332, + 202081623, + 124172794, + 449603405, + 650142299, + 95517178, + 428677520, + 578919730, + 961671094, + 213167430, + 265803020, + 413202029, + 520813965, + 281752288, + 453929719, + 122159989, + 86200106, + 796653325, + 851722865, + 377553853, + 391484004, + 20008306, + 969969417, + 110308429, + 923139882, + 806496370, + 771277337, + 974903706, + 291933904, + 241540790, + 32458624, + 379823801, + 659120265, + 643483174, + 4944852, + 856557697, + 688913176, + 598173776, + 225213861, + 151642369, + 560405324, + 54229939, + 546280962, + 346679668, + 767109581, + 169776170, + 774158258, + 771855608, + 638011520, + 520315710, + 189344266, + 948473196, + 744645731, + 514863902, + 330601213, + 637852210, + 786881263, + 418079892, + 827151055, + 571921393, + 305809390, + 725003833, + 520201266, + 720612255, + 783123652, + 567761917, + 164021820, + 81385975, + 161746849, + 293708299, + 769283586, + 796429170, + 816976036, + 5775140, + 772340937, + 652540534, + 846862983, + 42214918, + 637393928, + 47248297, + 232592911, + 267807946, + 957825646, + 61884298, + 143879444, + 483077413, + 758092892, + 956409163, + 732131826, + 561911229, + 191804120, + 468129690, + 631210514, + 366105210, + 694038551, + 709834817, + 579073049, + 407785286, + 66623727, + 34748292, + 740943089, + 794526870, + 272216422, + 181816987, + 22881532, + 688436155, + 732109206, + 98658720, + 596821099, + 459132157, + 26252120, + 441137705, + 995786848, + 276107011, + 531259757, + 690849081, + 974115399, + 934777877, + 549314407, + 442933001, + 225414833, + 317631316, + 733762705, + 268381403, + 204002038, + 846854697, + 846617504, + 700203544, + 476409282, + 512376809, + 106801653, + 693060332, + 72941097, + 164755981, + 429738206, + 971634857, + 507482922, + 77645189, + 67502369, + 730622526, + 343009639, + 571131616, + 751282675, + 976940959, + 442408054, + 230669336, + 405599190, + 101990011, + 14211332, + 975361338, + 800227319, + 619322926, + 629337768, + 576154641, + 379756193, + 988421215, + 600423429, + 596245896, + 797614550, + 694261730, + 170756951, + 726273200, + 318253823, + 780533818, + 195722794, + 304571097, + 364913842, + 903552751, + 496504950, + 808491671, + 171064584, + 674762254, + 483802750, + 734781432, + 477341953, + 48722971, + 150403874, + 452453080, + 90649533, + 663693932, + 611742088, + 621308028, + 638682783, + 498249138, + 474108965, + 977205207, + 620818352, + 480364632, + 948531396, + 390571028, + 255944515, + 623233094, + 895730522, + 418795555, + 682995262, + 40614385, + 564902989, + 821905649, + 593535728, + 497992986, + 43321427, + 65820805, + 508482539, + 87867533, + 213911864, + 184563580, + 678901277, + 977065590, + 52195263, + 98627381, + 393360374, + 628942280, + 483565843, + 124014029, + 813439648, + 187216391, + 593780444, + 457361700, + 417026274, + 84032016, + 136200345, + 170188764, + 819215367, + 11405211, + 43023771, + 209571250, + 666374202, + 855368310, + 501830264, + 791797641, + 929793257, + 847863456, + 527418602, + 71652798, + 275795919, + 12906991, + 425744300, + 758937695, + 517547214, + 702125494, + 101098000, + 54239609, + 700974229, + 669000465, + 379623891, + 459892641, + 171713287, + 701206017, + 220288099, + 777292264, + 798032875, + 346255540, + 998580297, + 292581728, + 64026849, + 153594556, + 292882853, + 652176359, + 199516444, + 835097759, + 832499449, + 481162190, + 191798076, + 521044532, + 389133556, + 435857852, + 559434344, + 685561284, + 485310456, + 935266880, + 832923285, + 523797941, + 39037806, + 815616024, + 566644230, + 167388722, + 842278767, + 968864325, + 571312815, + 230093827, + 846632390, + 591388618, + 943024626, + 600097526, + 860190183, + 270717357, + 669694798, + 988735124, + 17411299, + 89549327, + 641086538, + 456092061, + 185938594, + 327979217, + 747300113, + 479058260, + 156861079, + 73498548, + 168799861, + 936735465, + 668600779, + 222869848, + 371110147, + 166177491, + 286564470, + 264271415, + 181848610, + 951352408, + 11778067, + 302930785, + 16415030, + 683508369, + 880230391, + 375448040, + 798255156, + 146881824, + 572561362, + 793864223, + 908935987, + 102646810, + 321830427, + 267451589, + 425820278, + 70201156, + 71273411, + 337185657, + 687775170, + 603688846, + 981482665, + 214820511, + 800655184, + 129605344, + 334641698, + 156827732, + 459917784, + 224740528, + 883480206, + 312806111, + 974206597, + 332048520, + 554124460, + 523932859, + 440090940, + 497261088, + 918664683, + 270895612, + 662323432, + 657977051, + 685420783, + 929898288, + 389646222, + 222571459, + 9606225, + 471934716, + 640585022, + 260462266, + 696482184, + 629685392, + 516897915, + 478415980, + 318432000, + 569126286, + 785759850, + 281466721, + 175210464, + 31364752, + 432914270, + 867378203, + 31956005, + 501172318, + 673267130, + 697435538, + 556740518, + 932946722, + 747784347, + 729673903, + 348068857, + 169499782, + 858543127, + 674467607, + 12895210, + 159089161, + 938165269, + 969128207, + 539617457, + 14302123, + 571972171, + 531392894, + 586374304, + 344091734, + 642775616, + 330811573, + 719155021, + 815539190, + 536926546, + 456497821, + 526215840, + 915974366, + 355054243, + 436545594, + 177412570, + 795279154, + 268502538, + 671439106, + 73548829, + 125782392, + 33192447, + 556673871, + 192531078, + 42143212, + 68571599, + 574106012, + 679519299, + 976821728, + 662896500, + 236065724, + 795324456, + 256074949, + 200628516, + 778489208, + 42408071, + 878986965, + 259908662, + 108843150, + 536645878, + 892223497, + 25104686, + 406834451, + 265617859, + 655863356, + 716794280, + 965757501, + 181170224, + 858691110, + 468175542, + 562280309, + 871884475, + 326715108, + 960523710, + 527094199, + 116855448, + 963744591, + 553436399, + 701553627, + 201382253, + 118200974, + 672999069, + 612346670, + 839851767, + 83807990, + 751280796, + 23563524, + 276468484, + 934576314, + 549211305, + 761825340, + 481577684, + 711279015, + 623704507, + 978747221, + 404409076, + 806992231, + 403263818, + 341560608, + 150555650, + 904236288, + 255222196, + 808047449, + 806616617, + 7087873, + 349098502, + 165009575, + 346438575, + 251045878, + 249938882, + 768019308, + 864558315, + 574583620, + 203760415, + 187395482, + 635040581, + 352142599, + 594549664, + 914875054, + 385889012, + 698971176, + 943554370, + 624545402, + 891504344, + 946245844, + 398201465, + 993760394, + 737438895, + 821166571, + 916185790, + 650637458, + 357212947, + 261416824, + 177924386, + 376975265, + 732672085, + 344253626, + 462488288, + 102506159, + 519978852, + 51779944, + 868169466, + 871074149, + 47739261, + 826891809, + 124483958, + 161501525, + 75873342, + 190160279, + 890114857, + 152745915, + 291548222, + 81080677, + 293348550, + 121695394, + 199677510, + 163376024, + 261096402, + 122946147, + 745877817, + 144868763, + 616835385, + 857604419, + 146725968, + 704056820, + 236283912, + 439193484, + 530573764, + 605202410, + 766164997, + 388431369, + 391184358, + 26954585, + 751860024, + 839986598, + 709346940, + 314170957, + 399102667, + 641254588, + 333227153, + 299556713, + 364683851, + 736525360, + 501503364, + 259758971, + 177082955, + 439268655, + 279246628, + 586075088, + 759768908, + 161071997, + 58569629, + 947751459, + 968360091, + 280740316, + 701512203, + 226658006, + 184111309, + 22143038, + 172555180, + 462707392, + 334611976, + 520757003, + 458038454, + 186799533, + 772960764, + 971511477, + 319033556, + 946836994, + 517925862, + 664248087, + 605330462, + 40400324, + 456893554, + 41584934, + 532827382, + 965830690, + 985147965, + 953082380, + 821701106, + 918302862, + 542953426, + 22790682, + 587688554, + 466655270, + 235182448, + 541618745, + 70519441, + 203286183, + 91197828, + 962825038, + 424881366, + 858694633, + 566823087, + 219327021, + 242746558, + 461415983, + 424375546, + 40310668, + 83359557, + 235816754, + 225661982, + 856527417, + 912519612, + 530231145, + 487326699, + 276586691, + 755680897, + 3857066, + 680059035, + 799373267, + 549407311, + 436985269, + 27700951, + 534444145, + 65866987, + 270695281, + 937137158, + 74948966, + 377571673, + 319808629, + 467833625, + 682083202, + 622072621, + 895053315, + 476712301, + 653853046, + 284877966, + 787753971, + 300484984, + 939546917, + 527744102, + 975247249, + 759877165, + 837950095, + 927051395, + 134008188, + 74486376, + 741814192, + 503219867, + 250031519, + 537439711, + 845462024, + 288490416, + 8676211, + 993657065, + 194962033, + 265634743, + 40774401, + 16541725, + 64869459, + 815380446, + 969674170, + 852699538, + 657990131, + 778235215, + 539225470, + 999706375, + 492205020, + 522172330, + 745369084, + 707035099, + 380100724, + 610357854, + 783189241, + 350899960, + 644682037, + 452025361, + 65583772, + 430720463, + 412512879, + 833421022, + 311828991, + 996762520, + 769408027, + 460983706, + 9877600, + 6744655, + 543037853, + 623948880, + 36087308, + 39443160, + 192052802, + 666000834, + 346414931, + 539725506, + 253887598, + 568888953, + 870503991, + 670108679, + 885638533, + 788054968, + 305416405, + 451768046, + 123305268, + 164999777, + 267386647, + 601993671, + 956971664, + 924763918, + 90590239, + 784240385, + 119280600, + 601460970, + 815223629, + 765363625, + 600099690, + 808656561, + 175547202, + 596887170, + 945485585, + 250106484, + 968815383, + 849490710, + 472183078, + 331111867, + 895090675, + 653744342, + 560165824, + 191154381, + 285384052, + 154000277, + 59234350, + 196306371, + 584412741, + 865907751, + 659324958, + 278635861, + 902395685, + 896061746, + 820152496, + 735676511, + 823590218, + 783455284, + 726963222, + 264238832, + 234642039, + 553733166, + 934003466, + 996874021, + 701089705, + 64518123, + 311906857, + 966193976, + 183027545, + 123178790, + 376584078, + 566768296, + 110559825, + 113225090, + 294744658, + 552479347, + 50430503, + 505970450, + 902943670, + 569024286, + 924716818, + 926294184, + 521536010, + 753329880, + 365433909, + 573032704, + 631040776, + 920620340, + 129803188, + 316673594, + 991931916, + 298275228, + 861571353, + 908061327, + 905927623, + 660303795, + 264357542, + 627994033, + 387320686, + 644853917, + 59716024, + 358997283, + 646399246, + 906992587, + 958804642, + 438802342, + 402960731, + 333215374, + 499112242, + 703144273, + 84272422, + 64279765, + 834911839, + 65884340, + 828838070, + 169971490, + 812045020, + 450031527, + 768257878, + 879666513, + 351759276, + 993244164, + 102044417, + 747060416, + 998157798, + 379776890, + 130786058, + 673668674, + 901861190, + 19661974, + 209966186, + 959519713, + 784405710, + 514749493, + 845228835, + 813249156, + 627963045, + 803781032, + 408988559, + 244063654, + 113017032, + 349551196, + 886102365, + 794111053, + 257951391, + 178797380, + 598688206, + 879276586, + 24751076, + 297479872, + 283270622, + 334225042, + 218845081, + 253605645, + 94299670, + 254484595, + 661047011, + 393203519, + 723926514, + 508231472, + 586246039, + 412893418, + 550176180, + 546046282, + 117252519, + 542244402, + 333429535, + 298359336, + 922399879, + 95121038, + 605628108, + 437716142, + 364320915, + 649356341, + 509263547, + 908838012, + 534123262, + 586456912, + 171487373, + 327937119, + 95443280, + 108950052, + 751263299, + 204560740, + 942985312, + 720842742, + 164618259, + 268436560, + 418323862, + 138097014, + 336923533, + 523102144, + 191583605, + 610219873, + 907022101, + 832105517, + 866041233, + 53462664, + 588285270, + 884886305, + 261788837, + 487070391, + 326166270, + 679854079, + 527711497, + 705422764, + 123087942, + 628944978, + 203751044, + 220054470, + 45154028, + 184029547, + 886890351, + 870603640, + 270508898, + 747521893, + 814920149, + 699644954, + 972356759, + 429635179, + 418242937, + 323092032, + 436040887, + 283357846, + 380304967, + 16214890, + 237552788, + 388132406, + 891897266, + 54128994, + 647660653, + 843456082, + 984419693, + 100043178, + 283893990, + 33756145, + 627711187, + 267399634, + 976676715, + 691458827, + 985264394, + 324662512, + 687530586, + 949658183, + 766189733, + 694306043, + 755447547, + 248187956, + 977574514, + 523026187, + 475540919, + 426571973, + 764213911, + 385467764, + 364244654, + 240664322, + 522213575, + 912765460, + 600905238, + 152723868, + 590595602, + 734474005, + 996163141, + 746805230, + 532573161, + 489109845, + 347127663, + 598166782, + 769902465, + 198840919, + 481068029, + 234542067, + 920387094, + 864255459, + 828274079, + 442870841, + 141858880, + 603882557, + 77558380, + 836789423, + 624316351, + 488838321, + 279205715, + 820672542, + 449804961, + 420333953, + 691432914, + 35053409, + 102941324, + 119043311, + 185083685, + 819293739, + 713697593, + 455988577, + 4876281, + 892906703, + 457239572, + 315998819, + 783011132, + 160821517, + 629171711, + 698477467, + 337687049, + 605192005, + 77382360, + 703527730, + 277297745, + 359038982, + 914104139, + 658154920, + 492081770, + 484307255, + 302796981, + 148478604, + 775169310, + 667303975, + 959313300, + 917701187, + 148562083, + 210352090, + 626217599, + 945015883, + 710543134, + 939074431, + 325523457, + 577183555, + 942560225, + 75730080, + 711523446, + 635633438, + 168105511, + 296971077, + 687848331, + 687748475, + 352037246, + 500478179, + 775367279, + 132184556, + 173786431, + 759800814, + 408107070, + 81341598, + 669657930, + 906479453, + 901376421, + 552978852, + 647117144, + 566214490, + 320069188, + 807215899, + 781786813, + 333305064, + 974376278, + 531383147, + 381730159, + 312995539, + 592831843, + 10072067, + 695328369, + 252402332, + 639597500, + 255165229, + 797715658, + 860976404, + 386654985, + 541467068, + 912052151, + 582076002, + 671600109, + 156645909, + 199947497, + 889515222, + 508593627, + 946077164, + 369159304, + 175092532, + 172696022, + 732310443, + 170150250, + 315017783, + 988034364, + 157839988, + 801945276, + 471314692, + 620907268, + 702054206, + 856046470, + 771424946, + 979309613, + 964631592, + 992054302, + 548709587, + 881764633, + 863068128, + 435882412, + 1852416, + 164315172, + 491957896, + 788044514, + 397498534, + 680762352, + 998744468, + 822436132, + 384826046, + 5620569, + 34353125, + 153710568, + 273875542, + 135854696, + 138966699, + 445243932, + 770762567, + 166956041, + 383440391, + 59318132, + 100353506, + 923414871, + 107618212, + 523517719, + 129748702, + 717413290, + 943278873, + 168609636, + 462437596, + 93981904, + 879689929, + 623522731, + 332674062, + 107675078, + 503350170, + 420408437, + 893046047, + 617748031, + 944003971, + 668201338, + 423982176, + 252739019, + 662555634, + 211361393, + 122831564, + 794467997, + 214752295, + 659709420, + 960772852, + 501467766, + 327316822, + 431438403, + 965273976, + 576217216, + 658267775, + 665204375, + 916332754, + 742581083, + 927306345, + 327174909, + 860088976, + 476965288, + 193653543, + 23309650, + 573830297, + 90073358, + 108106868, + 25377088, + 235735456, + 216826611, + 435424617, + 814991996, + 179543498, + 15435028, + 339627225, + 688392641, + 912712244, + 736306177, + 223813763, + 937230393, + 26193197, + 800435677, + 867683901, + 476586230, + 538712972, + 251539801, + 938588868, + 749278949, + 791831595, + 565931546, + 109341789, + 480122053, + 29134873, + 394584186, + 1445730, + 297599239, + 481011379, + 50707396, + 257574066, + 117677697, + 701293097, + 906643824, + 363523421, + 364693331, + 585241267, + 104847617, + 971640559, + 466530289, + 348834459, + 892915326, + 959568463, + 962484035, + 704810871, + 879791457, + 92065218, + 91197459, + 611322879, + 173906089, + 590907422, + 491780867, + 657742467, + 275766352, + 714829459, + 246021763, + 861380600, + 185273487, + 627757424, + 991169442, + 896747186, + 874989408, + 940128179, + 107130827, + 529364463, + 886339571, + 323612597, + 669351565, + 244667631, + 711147423, + 888069489, + 810386388, + 444037122, + 810529196, + 543606489, + 167594281, + 451785312, + 70000250, + 739382085, + 596913228, + 423665291, + 866716583, + 720126987, + 252224767, + 142518073, + 977550432, + 555799186, + 91058852, + 760572969, + 161357030, + 891828770, + 6655443, + 617438839, + 484235838, + 269142134, + 833874929, + 356527967, + 776231571, + 529819431, + 884326244, + 312485764, + 838344573, + 687999567, + 836696831, + 313829265, + 110326339, + 974925648, + 956255573, + 606864754, + 372043752, + 616354889, + 448435351, + 775272927, + 692964231, + 43516237, + 325250388, + 224477996, + 475063511, + 831884709, + 70743865, + 541543006, + 292358299, + 535266294, + 659948340, + 664627898, + 53142386, + 739801719, + 606460217, + 961914158, + 191332276, + 387203008, + 397750259, + 111833269, + 243962527, + 267060047, + 319306591, + 61608294, + 563840708, + 172989520, + 7242417, + 807143916, + 125643393, + 329733974, + 786095262, + 242481676, + 563003378, + 429453132, + 222062050, + 606204872, + 212313453, + 258875124, + 160531296, + 914535210, + 988984797, + 94142069, + 597477091, + 611761601, + 578340510, + 699397635, + 534275242, + 54276460, + 551769811, + 127590179, + 852779743, + 89243852, + 960069743, + 211319213, + 460559998, + 801426476, + 325283407, + 655340436, + 825558121, + 801876872, + 930874439, + 113375210, + 905649598, + 939602777, + 612403731, + 871979248, + 755677349, + 686174232, + 791205623, + 143599087, + 787647267, + 80733356, + 899007344, + 691152908, + 214509185, + 43803905, + 810455755, + 501567843, + 897430196, + 702502492, + 349459595, + 361298264, + 795559208, + 479416249, + 446186735, + 114998754, + 798770877, + 858526750, + 853310892, + 78547174, + 641895942, + 718663621, + 872265761, + 186882876, + 326071555, + 384473149, + 882649147, + 269862764, + 194661254, + 12757321, + 626628351, + 196432143, + 479915780, + 520252438, + 246026292, + 685544659, + 294032334, + 541607500, + 880068714, + 509320717, + 681134976, + 968008730, + 33223756, + 299981609, + 701975447, + 541705987, + 797641114, + 298944689, + 727233460, + 825740998, + 749508682, + 509643038, + 208136873, + 237300739, + 371232536, + 582688389, + 575099407, + 50754795, + 663731682, + 455945420, + 393675836, + 103182220, + 967249877, + 144741488, + 242423436, + 535324498, + 629630384, + 775572129, + 524024243, + 852144918, + 695825377, + 774986085, + 974591567, + 756165631, + 258025996, + 728557475, + 136682845, + 177858719, + 260070327, + 879295966, + 503164547, + 321018696, + 659941725, + 939691702, + 278337218, + 144780641, + 962952600, + 401992382, + 307922801, + 997651806, + 70399502, + 777332975, + 407915225, + 102836027, + 251508777, + 448496919, + 382121097, + 857641836, + 179210187, + 598077591, + 979421303, + 636311752, + 258492197, + 676574743, + 712759359, + 507091924, + 441376310, + 125497789, + 550221479, + 641226386, + 448843600, + 712092621, + 779041174, + 88389270, + 881279749, + 667616233, + 917141349, + 510061687, + 314036313, + 16586647, + 415096765, + 618916212, + 209668628, + 175802687, + 457052152, + 267936141, + 789441161, + 548049068, + 545407340, + 366721025, + 173931187, + 827021172, + 634024038, + 17692917, + 667908623, + 932881476, + 662595357, + 977537435, + 836086199, + 174067021, + 275937452, + 811282001, + 118350161, + 5322931, + 958641017, + 529732382, + 128236388, + 745220834, + 325690647, + 55958690, + 97203653, + 752041532, + 622217053, + 629900069, + 950751916, + 733723303, + 956513129, + 7907868, + 541438757, + 799296966, + 986944809, + 633859812, + 494304765, + 16554912, + 679897361, + 83316573, + 17866320, + 375358794, + 336122645, + 344179367, + 478404039, + 177672946, + 558771145, + 559577, + 194874303, + 340443655, + 784337535, + 421609301, + 635755654, + 379194589, + 564788253, + 919090518, + 978893303, + 417393740, + 70419061, + 672502643, + 341858533, + 554021501, + 992479350, + 199925032, + 927009488, + 440503682, + 548852319, + 897823599, + 185157257, + 796752211, + 410108291, + 175314778, + 227928428, + 558091605, + 231408686, + 314834951, + 215832948, + 475339558, + 202673651, + 405405586, + 970798565, + 559823603, + 145576384, + 183694740, + 137643450, + 638857338, + 444682747, + 441925413, + 849856713, + 840483936, + 772921804, + 439097456, + 673541786, + 652081022, + 278141875, + 606795047, + 618201514, + 234463000, + 743306438, + 559558853, + 449499604, + 653682753, + 981015357, + 532038782, + 401022134, + 436293158, + 711373005, + 510549040, + 278746421, + 165598794, + 404706834, + 80300914, + 666319320, + 498938346, + 839459094, + 858091942, + 375510425, + 58819998, + 453646864, + 512266131, + 745576673, + 738582559, + 501819774, + 609815977, + 269248967, + 723257163, + 345316929, + 533190455, + 879156363, + 871275594, + 286580132, + 226389380, + 618211375, + 50444353, + 37008864, + 497196712, + 431927953, + 287007658, + 944926923, + 398002342, + 427745904, + 897880282, + 413228618, + 69843500, + 567839008, + 25644904, + 103004312, + 692678476, + 524557032, + 560078779, + 379815034, + 991039148, + 52059168, + 393851503, + 632372225, + 206461319, + 482639593, + 664459007, + 130411793, + 794030187, + 568381968, + 903836573, + 932333026, + 402480283, + 994983515, + 930359407, + 953290276, + 478586455, + 732264931, + 481179807, + 978630828, + 408059644, + 214974704, + 747156890, + 251227236, + 38112193, + 875772566, + 43515470, + 171801081, + 446328520, + 808474317, + 718866866, + 953870522, + 661848417, + 352244885, + 947207427, + 951214004, + 538418310, + 877025821, + 559721137, + 7228886, + 684355936, + 554703179, + 901703587, + 858465562, + 256617271, + 423635916, + 454654210, + 612217753, + 892325828, + 20559458, + 302611046, + 967805483, + 961960960, + 201567358, + 242614457, + 633248399, + 379094921, + 868977326, + 708422348, + 947869623, + 672604054, + 6446828, + 88179527, + 805388645, + 677329900, + 15651987, + 648852228, + 473229600, + 783528682, + 781290557, + 690864122, + 213567855, + 717488052, + 103662961, + 860370530, + 538237342, + 345883821, + 946084249, + 723653106, + 529065226, + 551129738, + 312797108, + 518805624, + 270225998, + 34871024, + 764011692, + 948868441, + 527132448, + 473590338, + 788366745, + 884189515, + 470861997, + 220783209, + 691421209, + 59297726, + 590599480, + 994456381, + 491168179, + 517597160, + 102725064, + 83887658, + 419889115, + 730365644, + 939355348, + 554712596, + 338704774, + 805775136, + 208963416, + 450831248, + 176925848, + 300172088, + 123407976, + 983391596, + 451300119, + 71853921, + 518828896, + 62581166, + 128081308, + 989590415, + 824614220, + 412680904, + 61377677, + 524654150, + 975331274, + 486554354, + 216911344, + 348726246, + 186506810, + 747667201, + 410153134, + 901629515, + 325508620, + 308367977, + 517868643, + 73118853, + 241744146, + 379501625, + 683379902, + 117047358, + 956184967, + 717179501, + 698554976, + 169791067, + 550332291, + 331181916, + 107759440, + 982980276, + 263149790, + 586637722, + 44119416, + 461532420, + 419061755, + 711202727, + 185056643, + 599737747, + 158683327, + 758769154, + 305004553, + 595050187, + 654417844, + 81745168, + 52727236, + 981432108, + 894187381, + 455900713, + 239558999, + 177024491, + 972782403, + 692129605, + 413343028, + 719188459, + 672063039, + 724958193, + 562562640, + 556841811, + 793129625, + 363407536, + 234635191, + 324192313, + 509423090, + 367103293, + 917475156, + 16455836, + 129223589, + 407005545, + 535910401, + 40448684, + 935403525, + 629899030, + 361726731, + 678614049, + 864371951, + 528031093, + 377494023, + 171770081, + 205014221, + 596125236, + 604814963, + 43595962, + 628379630, + 862301476, + 801188185, + 507499080, + 287994922, + 632303504, + 722196062, + 873160048, + 669354230, + 11647510, + 825426713, + 682270082, + 309409546, + 144278710, + 724142323, + 835264214, + 32402806, + 371829099, + 337915296, + 240303033, + 210389152, + 968003680, + 754739543, + 621731936, + 456985803, + 9317204, + 87755611, + 110863501, + 636503295, + 358003208, + 826308307, + 844101178, + 418134666, + 306514828, + 768088082, + 745381186, + 486807537, + 431999794, + 487169055, + 786509654, + 513986228, + 133981400, + 526772372, + 486204303, + 302109835, + 813305258, + 401356178, + 57300504, + 204221663, + 950247615, + 103973026, + 25009885, + 148691899, + 627004598, + 397519712, + 840122292, + 591760747, + 188869017, + 165051914, + 487977904, + 202753296, + 524582812, + 29855096, + 237424047, + 15012675, + 312309348, + 171069733, + 622196327, + 444567184, + 668742741, + 372267088, + 696017488, + 732756648, + 816076129, + 153908772, + 890981861, + 907866277, + 194504781, + 11740086, + 60274378, + 904106198, + 202131772, + 175066337, + 991388360, + 584317066, + 963179613, + 398430259, + 353092873, + 541909489, + 401147621, + 347518268, + 535681605, + 662066595, + 672934042, + 768581862, + 200944880, + 330738237, + 761962514, + 922740785, + 765710842, + 283582997, + 149652225, + 511514663, + 315986010, + 602501717, + 414461739, + 322233480, + 839211546, + 902709117, + 579969092, + 959629362, + 882900643, + 96247250, + 302690537, + 146278538, + 286869891, + 31829485, + 875397916, + 348447783, + 829790434, + 127727527, + 41213231, + 798416246, + 264968258, + 902223912, + 628801250, + 858811373, + 757739461, + 285810012, + 368205443, + 539974414, + 483391630, + 281754463, + 935601390, + 541043992, + 884330520, + 133731753, + 936152308, + 822079165, + 749982410, + 465350972, + 25453918, + 400760525, + 999461851, + 218482853, + 60120526, + 347296180, + 295141487, + 299465626, + 385711015, + 210669745, + 2406984, + 581461398, + 316736126, + 185508777, + 785946804, + 44382874, + 364153762, + 119932291, + 449531271, + 950812167, + 640221454, + 154498907, + 411199600, + 125170517, + 958399459, + 38852681, + 430498337, + 159357346, + 553272429, + 190270430, + 506372995, + 322647766, + 24493640, + 864967126, + 557140536, + 735242101, + 233206806, + 562604940, + 609917295, + 767982524, + 175131199, + 204017970, + 228656675, + 5968437, + 790676845, + 907371286, + 376778287, + 22503101, + 941845307, + 724046408, + 432318378, + 902864102, + 837498007, + 181608220, + 835583359, + 330665622, + 28135972, + 203681453, + 188635450, + 450526496, + 975637366, + 795804730, + 595055172, + 54788111, + 376449267, + 608718002, + 92100690, + 474937331, + 72663143, + 486087457, + 254965026, + 90601139, + 540827028, + 942456318, + 516309593, + 796203920, + 813463719, + 949107317, + 196189261, + 754736756, + 21704855, + 467075695, + 509723251, + 48553248, + 195898949, + 393846852, + 630074826, + 457640585, + 779059529, + 286912159, + 174034155, + 626514365, + 417483310, + 620994945, + 645738224, + 934700234, + 53161576, + 756906045, + 960164109, + 350152456, + 995389655, + 148735919, + 345018851, + 892339102, + 282752334, + 20109577, + 844674620, + 508695186, + 355785954, + 817728608, + 610887938, + 273019979, + 327299331, + 486225843, + 701034576, + 117324744, + 372504065, + 784051834, + 49237352, + 559975004, + 517642902, + 662451758, + 315568959, + 375088931, + 72862305, + 617918049, + 315003345, + 961432878, + 622346229, + 322532032, + 627716689, + 944159676, + 592476203, + 105363703, + 306813613, + 146035413, + 654687315, + 553803987, + 508951543, + 93643531, + 610790152, + 533072128, + 519374868, + 564851180, + 383209221, + 387801705, + 231135326, + 239174494, + 656868544, + 618739913, + 747048269, + 137378469, + 291642319, + 578122856, + 345644903, + 215303674, + 633574869, + 627455956, + 101615137, + 951459439, + 858693982, + 149047132, + 585831876, + 560873857, + 675480432, + 307727646, + 988865255, + 823044506, + 414528567, + 117505124, + 750005946, + 43758862, + 619597098, + 596284793, + 50922465, + 5016994, + 980230395, + 257499346, + 32752845, + 575268590, + 59610119, + 858348210, + 360778691, + 315087567, + 562374336, + 940801329, + 130494738, + 391568964, + 949938361, + 60563185, + 764092671, + 301283620, + 720388956, + 922180542, + 5258144, + 879056921, + 864766825, + 595574996, + 993643527, + 398279558, + 91422758, + 839461445, + 507638893, + 137552906, + 38755041, + 970621522, + 398205125, + 963346512, + 292727734, + 553999911, + 247007502, + 205107784, + 960423102, + 878302529, + 805647546, + 861820533, + 29267418, + 52875423, + 957082154, + 625136026, + 230570210, + 993549439, + 941894834, + 391629385, + 895675980, + 907738630, + 891279331, + 32434058, + 247120356, + 342420306, + 51555521, + 11692720, + 371674013, + 499468091, + 237603582, + 117802813, + 830740863, + 361224987, + 172866755, + 240390964, + 663787922, + 983257894, + 827053225, + 487398720, + 527138164, + 432837246, + 131674771, + 288879602, + 923139386, + 28041449, + 312561358, + 156906511, + 272233322, + 496632542, + 916557813, + 8349736, + 628027020, + 691561357, + 585798449, + 801549714, + 915072552, + 11912336, + 992790565, + 865703833, + 830466290, + 303330678, + 881549796, + 663354181, + 48136280, + 189276270, + 591708726, + 160875661, + 876328276, + 121224716, + 538139109, + 205726075, + 152531397, + 181543049, + 604279424, + 764405271, + 223953415, + 933045311, + 562468955, + 491417175, + 422564755, + 735592695, + 643523627, + 444012677, + 420818224, + 595191168, + 521966112, + 764586243, + 830044124, + 826661557, + 669660053, + 379316438, + 256963316, + 649261511, + 862369214, + 457851475, + 762160804, + 271773378, + 646445289, + 690099114, + 363543151, + 750620967, + 354424578, + 959015548, + 168198264, + 231724811, + 999744020, + 860055474, + 77484536, + 255259854, + 76634582, + 542112930, + 351483049, + 646603152, + 814819977, + 913435179, + 915633398, + 824602273, + 99803957, + 554319045, + 77731927, + 602053829, + 259660713, + 160866581, + 255203539, + 397169253, + 859240739, + 743925202, + 556686610, + 579271172, + 414291464, + 789548271, + 22903334, + 32321354, + 962704255, + 366218841, + 925026268, + 422797733, + 234295107, + 962264354, + 801213261, + 64060182, + 904123601, + 287857393, + 397688485, + 950812461, + 401975829, + 813030457, + 591481434, + 30398683, + 257786959, + 414466754, + 288894077, + 475674607, + 771923640, + 28414914, + 896576196, + 371958462, + 756184522, + 389310446, + 814912651, + 486525117, + 51254943, + 271551672, + 532571204, + 778303114, + 259629248, + 839258362, + 506814498, + 80175775, + 299354503, + 248144371, + 107897492, + 307485281, + 536151419, + 992783967, + 119536128, + 618772961, + 573735382, + 68376771, + 929009955, + 190198078, + 406664648, + 120958616, + 930411300, + 12825062, + 799929704, + 98803792, + 668210754, + 281800740, + 350543835, + 936421194, + 780171618, + 336642298, + 256184150, + 657044450, + 773136581, + 965444327, + 64462146, + 781634791, + 774658068, + 456072767, + 127274676, + 724416560, + 321422816, + 610113746, + 56306914, + 620009733, + 749358889, + 254355898, + 264518737, + 640805670, + 76008684, + 456012169, + 855039523, + 442214833, + 538520294, + 156298306, + 279565961, + 967876927, + 32674137, + 529176814, + 204029607, + 975609975, + 896954772, + 818089070, + 335820263, + 702295037, + 502900714, + 265050843, + 530310505, + 664159700, + 495208196, + 133522091, + 167128728, + 951711767, + 278564631, + 71253052, + 41028593, + 956391277, + 905302486, + 929532217, + 434574728, + 91171336, + 713326744, + 371506685, + 58076832, + 325881827, + 539146852, + 631525415, + 398082841, + 769095414, + 719769996, + 809861637, + 611054037, + 57613323, + 261245203, + 540649686, + 236733429, + 513086343, + 806717299, + 840775644, + 575476850, + 601943811, + 896680266, + 99017412, + 578641053, + 829169515, + 847015214, + 55908740, + 376583650, + 980542689, + 181390577, + 859986197, + 603750545, + 820690187, + 112672210, + 59493889, + 575559677, + 518009530, + 549255776, + 474524751, + 963692666, + 711136996, + 795026360, + 457209894, + 77326721, + 369703366, + 506061066, + 815841084, + 566363680, + 865130317, + 148079996, + 124881135, + 870399768, + 401930936, + 848114597, + 732807637, + 17927393, + 257996806, + 264398390, + 511061802, + 201163752, + 371791751, + 651054853, + 77410948, + 259732365, + 978756730, + 190138255, + 193081586, + 309095450, + 662205784, + 615528682, + 531271872, + 5483725, + 476634902, + 511194148, + 268097839, + 736144998, + 164214560, + 562677792, + 744956597, + 95504510, + 856417102, + 887353596, + 720262100, + 7101052, + 931410837, + 689192376, + 873118600, + 289035009, + 572369519, + 573196592, + 502578508, + 735678857, + 180278090, + 292857590, + 460098863, + 284382440, + 252357516, + 705435254, + 162847964, + 78993972, + 77126617, + 461958120, + 519900658, + 639592151, + 277380959, + 527664356, + 37969883, + 610384187, + 413777241, + 939805343, + 180042752, + 181122547, + 998775649, + 254741866, + 676201257, + 767889369, + 705955164, + 226095289, + 90322618, + 695258205, + 644011525, + 59712963, + 113469249, + 606590453, + 501458370, + 963041882, + 271876898, + 378416906, + 921264282, + 282573482, + 827427078, + 73439649, + 701127856, + 874855383, + 590961220, + 149075962, + 108630392, + 608641256, + 980325616, + 704314176, + 425246883, + 939090032, + 168376682, + 597197365, + 178991549, + 628886170, + 343596401, + 126337709, + 7554571, + 112589084, + 359007918, + 246062491, + 862866068, + 114089506, + 35421084, + 595876665, + 924477932, + 214871049, + 255342658, + 39999061, + 814415810, + 295511812, + 265017874, + 725436780, + 427021105, + 139580018, + 483380461, + 81139115, + 549073676, + 382012034, + 921445713, + 661407367, + 902102304, + 591976665, + 362790181, + 179734096, + 121300279, + 966108470, + 841593118, + 153523298, + 976621106, + 693716854, + 276118911, + 526954575, + 347892488, + 134651309, + 20416077, + 437878487, + 785804111, + 756146831, + 124836582, + 96705858, + 494595338, + 194702129, + 775107815, + 226316839, + 215730521, + 664039810, + 861353363, + 183041380, + 912173215, + 34879296, + 892273486, + 282400367, + 517723204, + 42605110, + 276057963, + 548542528, + 374633107, + 978742692, + 195514101, + 330197273, + 573749270, + 125368457, + 396715888, + 725550057, + 736915551, + 994267569, + 483756828, + 477596342, + 479444396, + 40486610, + 292056139, + 721502610, + 517608918, + 682820634, + 471078031, + 631036730, + 840823854, + 352702906, + 59526453, + 14545521, + 302520091, + 174521734, + 452009463, + 977065192, + 743564918, + 499026713, + 460275772, + 972286054, + 603679568, + 736793751, + 489242143, + 307450185, + 955919945, + 320139247, + 908186758, + 404584874, + 522759903, + 248479111, + 793561280, + 143893372, + 594433061, + 946316841, + 253289561, + 736846032, + 442935635, + 62058915, + 498949640, + 127907058, + 697112436, + 809093559, + 497834387, + 984408426, + 600948562, + 192023813, + 202233679, + 192921193, + 406215458, + 480617311, + 455073941, + 45605782, + 780842075, + 164715106, + 841010608, + 861443493, + 316857479, + 366216857, + 809527122, + 11470977, + 730411431, + 970280338, + 266301363, + 263241352, + 873537252, + 6077464, + 983727980, + 521156667, + 231978387, + 105692871, + 706180450, + 695777432, + 189319175, + 861750585, + 16352268, + 497474279, + 258577967, + 578037511, + 710213063, + 205769460, + 334414012, + 255845719, + 918882547, + 816769047, + 709325505, + 797952467, + 533798067, + 731811428, + 255935108, + 249723484, + 793757932, + 677682358, + 358832579, + 274966374, + 94727662, + 382865002, + 69803861, + 666826737, + 54272767, + 537198865, + 233173019, + 595428530, + 592013288, + 226278179, + 581275474, + 746732190, + 781592446, + 817827649, + 368060376, + 650567824, + 847504534, + 51738770, + 94597894, + 637981032, + 694493056, + 422959088, + 460599721, + 157215362, + 672275103, + 983928719, + 943706205, + 69591292, + 952986554, + 372214911, + 911774341, + 995092635, + 117802691, + 141725951, + 891298644, + 234637300, + 926751332, + 414698587, + 843349266, + 382262656, + 866782419, + 55889861, + 517910798, + 941426939, + 203009710, + 456957282, + 251244144, + 784114946, + 247350462, + 128720747, + 679408113, + 755255895, + 644340526, + 560691636, + 89584655, + 33871593, + 973209354, + 835296607, + 642305236, + 425250749, + 954190097, + 33952287, + 471328863, + 702950817, + 107855375, + 890293587, + 639385460, + 333957130, + 771289246, + 471681815, + 533086663, + 119987395, + 683817348, + 219217039, + 748668964, + 995212213, + 208403339, + 156855171, + 576549959, + 238744229, + 920795341, + 351159002, + 813739772, + 985078560, + 438343227, + 603562276, + 934070811, + 420400527, + 774930695, + 758798996, + 851545351, + 48928959, + 997376116, + 606403486, + 256516825, + 68850457, + 354788115, + 471515700, + 426292710, + 884616058, + 119917684, + 784698588, + 301726768, + 349335280, + 398638442, + 655375503, + 903944328, + 669734964, + 250037089, + 911777200, + 639332410, + 551410025, + 791667505, + 603998633, + 78239619, + 209128864, + 655831219, + 5043918, + 304957607, + 550534882, + 576670288, + 888484262, + 799119897, + 210937734, + 160027237, + 223239315, + 508435028, + 771802922, + 401115999, + 328444905, + 437817055, + 560049792, + 461768353, + 451492661, + 379788286, + 811216722, + 670740185, + 279005274, + 80182467, + 627159416, + 859393261, + 424865080, + 652014790, + 93659125, + 149769258, + 356105623, + 548495026, + 814155731, + 760595503, + 111058190, + 110655435, + 607424794, + 460530526, + 887888937, + 120172909, + 419419781, + 135671669, + 975010152, + 168875433, + 492806129, + 377242073, + 740309765, + 804749648, + 207632229, + 389707995, + 532845444, + 277803518, + 176432029, + 49836901, + 698787384, + 747108481, + 895496364, + 304798001, + 134586559, + 274990157, + 479681769, + 632605384, + 258587637, + 973626290, + 124429481, + 893130965, + 454248526, + 284590651, + 571581398, + 824288374, + 410763591, + 828535513, + 202505648, + 727415352, + 169719909, + 227253972, + 501754114, + 987357642, + 477823866, + 468272496, + 518544315, + 410954317, + 47537949, + 533792240, + 436697554, + 818805982, + 453136928, + 598579543, + 494105029, + 600796109, + 972457429, + 293862581, + 747560030, + 888382886, + 458566653, + 258874668, + 456627482, + 375014693, + 324096660, + 633836940, + 440434490, + 868729782, + 302243493, + 139908389, + 576203677, + 647551244, + 522393231, + 895388027, + 345256188, + 23417286, + 489928795, + 817085884, + 746545209, + 654329433, + 770638836, + 808020201, + 927038168, + 215487305, + 579717611, + 607039030, + 575417823, + 227622358, + 303900789, + 769375927, + 971496213, + 289770230, + 436033357, + 518817680, + 509825334, + 651660491, + 728373804, + 666374795, + 393888885, + 872659877, + 974071296, + 691766445, + 575175949, + 429804200, + 232455844, + 801897623, + 117256747, + 842636587, + 175690347, + 557679644, + 189052079, + 552962276, + 524062649, + 97889546, + 902449314, + 301032276, + 486948332, + 90955054, + 869183447, + 788815559, + 730854370, + 400592285, + 216540251, + 709043204, + 930072590, + 156780989, + 29576710, + 230575816, + 146602223, + 364797828, + 814884376, + 797309327, + 237629030, + 293477716, + 360775756, + 63665792, + 873142416, + 389826062, + 960679113, + 256301651, + 508840116, + 708479237, + 273061405, + 771145108, + 159355675, + 499448954, + 243573910, + 607861145, + 645973778, + 231783828, + 141515968, + 776087307, + 266841542, + 300112388, + 814061483, + 813729892, + 383286466, + 769370420, + 377014219, + 260208484, + 957069003, + 766118946, + 991633449, + 680644149, + 782789191, + 652053257, + 296783991, + 234416091, + 809458434, + 711416567, + 85425245, + 483271535, + 978388468, + 714571462, + 760554747, + 805069905, + 5606514, + 89244345, + 82346900, + 637028448, + 722314143, + 982816547, + 99803234, + 44622874, + 194500949, + 928970600, + 293292358, + 550093273, + 250007047, + 928237002, + 756671694, + 534300462, + 32646962, + 838939734, + 712556580, + 613508750, + 94874004, + 487271893, + 990167259, + 102121266, + 826956466, + 472115392, + 227764930, + 59550664, + 374949125, + 141692069, + 906150732, + 36267737, + 835630387, + 285807370, + 835300667, + 827126375, + 173469168, + 307528119, + 113234152, + 800552292, + 942300485, + 56669459, + 591643316, + 531187705, + 805442367, + 844302203, + 224892316, + 349930384, + 775314954, + 454643684, + 608521508, + 778942650, + 776476991, + 938214193, + 744290280, + 604862014, + 547109464, + 898406584, + 393518465, + 995087164, + 663268465, + 262112309, + 363754020, + 477473771, + 398464182, + 720396620, + 851560091, + 271692803, + 573013419, + 470149433, + 680655532, + 104818721, + 164364568, + 573771236, + 897132771, + 748505643, + 368798699, + 377892031, + 567130, + 55859335, + 692738346, + 584314050, + 876595508, + 108783381, + 387271084, + 982932212, + 892641066, + 201987154, + 397295112, + 753755474, + 305483726, + 364343177, + 545186164, + 548266634, + 976890532, + 962690011, + 118804492, + 448126614, + 944830570, + 56547954, + 337604248, + 956231830, + 660089070, + 384869801, + 477971664, + 95318411, + 164393552, + 869821784, + 925108665, + 359903576, + 4849009, + 754045892, + 227184540, + 836495952, + 805809058, + 4679196, + 464770701, + 730079138, + 895019447, + 81199570, + 244273753, + 83659996, + 840433872, + 314829498, + 169279104, + 395576775, + 989592780, + 687782566, + 520648062, + 268744013, + 46448012, + 931745978, + 90221225, + 525028094, + 774970259, + 843835828, + 693364703, + 820224577, + 596913921, + 522466403, + 439020277, + 180925344, + 626438788, + 863946873, + 84505559, + 358539491, + 267999778, + 450362962, + 237317920, + 546261134, + 645033897, + 388325504, + 34205937, + 810267591, + 798891251, + 778468690, + 715785097, + 888035575, + 914325868, + 427653155, + 780911249, + 637458334, + 293346522, + 930873792, + 679875871, + 275977736, + 629010489, + 368049440, + 495598221, + 122370223, + 358307834, + 112971499, + 643379955, + 50679170, + 116665544, + 661946540, + 50229316, + 573484163, + 415394339, + 336993480, + 365511242, + 16035553, + 718892172, + 488897489, + 109822658, + 545258157, + 147854984, + 178387432, + 930568030, + 159055667, + 253487834, + 750616009, + 757846358, + 257208663, + 934419161, + 689767548, + 483186660, + 722185861, + 585310325, + 126315604, + 2583880, + 359631844, + 186682051, + 718202108, + 980012495, + 766486654, + 387306634, + 911209278, + 735544321, + 320820227, + 208071328, + 704275644, + 398507040, + 40411739, + 263186021, + 946349834, + 330641455, + 290916211, + 689824446, + 754870696, + 341722598, + 146037384, + 546654725, + 366997915, + 502349425, + 568407446, + 284980915, + 143880057, + 934685262, + 705491185, + 141487753, + 321186801, + 266271454, + 185181335, + 857189647, + 560755103, + 127699290, + 238950430, + 952635620, + 968198655, + 302041780, + 291592258, + 64530486, + 576218945, + 449676918, + 137280061, + 657165710, + 662865107, + 637538543, + 459906301, + 759821104, + 315543270, + 587318215, + 333820907, + 713500128, + 910901919, + 449244971, + 293674973, + 705383583, + 265175961, + 36118566, + 199134601, + 422561856, + 660621343, + 718166710, + 860952834, + 868949805, + 491702025, + 621053336, + 584301808, + 315615171, + 111695361, + 344729624, + 314257027, + 141652065, + 18646987, + 912206868, + 967684290, + 297802971, + 17181104, + 68474486, + 580122736, + 5969378, + 521906999, + 677061894, + 421987951, + 903303563, + 137235517, + 165624820, + 464948645, + 166895181, + 943939806, + 834673676, + 948286049, + 17758899, + 532942141, + 312576708, + 508548860, + 991803699, + 606036366, + 862857769, + 142758377, + 646305224, + 296620679, + 9500210, + 622921512, + 758453611, + 965289795, + 834533157, + 361979435, + 542251335, + 630634504, + 890822267, + 165983170, + 583346324, + 855938726, + 733250840, + 753983179, + 488741817, + 593290547, + 825117013, + 593738708, + 517456207, + 146427374, + 728712280, + 863558124, + 352348641, + 385656737, + 551001005, + 438611489, + 922188678, + 123121348, + 282342986, + 342538182, + 215668537, + 101223111, + 945671168, + 164490157, + 737381402, + 251465805, + 624666322, + 964714615, + 362587115, + 585722448, + 789016579, + 916401902, + 184415571, + 42043198, + 400959678, + 190056902, + 515590997, + 714641854, + 863817663, + 137922231, + 644552466, + 427273246, + 75534268, + 655846160, + 622726664, + 972001775, + 226570986, + 264525915, + 787612814, + 182478617, + 438748550, + 516735491, + 879927395, + 788557710, + 804793328, + 45798591, + 267188480, + 294993046, + 708936586, + 891149355, + 780225822, + 366454319, + 645568883, + 481469336, + 742061754, + 759101867, + 353758339, + 960252966, + 52443770, + 652418954, + 461299219, + 339018950, + 498385635, + 660473693, + 375019357, + 517510871, + 577584317, + 321504794, + 821546748, + 222442344, + 322733018, + 541437927, + 997940056, + 190125245, + 994650878, + 183480572, + 252822170, + 212988660, + 659723836, + 660076136, + 563708746, + 716546319, + 560616528, + 552352722, + 293873851, + 872432692, + 859324936, + 377847974, + 931864878, + 607892107, + 176540761, + 452427134, + 51293411, + 508209391, + 98668425, + 83779691, + 317840737, + 708736647, + 982351450, + 610395582, + 917950956, + 769592638, + 485224719, + 226449750, + 227559115, + 509630142, + 961868940, + 694963042, + 720780348, + 480890342, + 630699963, + 210700043, + 428792767, + 194280778, + 562631381, + 913921988, + 173082321, + 926120386, + 29632022, + 635579872, + 52068516, + 54965636, + 182816115, + 541031348, + 525016971, + 102128987, + 148062078, + 123179108, + 473539399, + 27869688, + 855085227, + 479247596, + 734783130, + 737145052, + 210784858, + 904167620, + 412422412, + 106903888, + 345246844, + 976783385, + 900389199, + 859028698, + 961420601, + 854734922, + 859690130, + 772586926, + 69001700, + 30639881, + 653668664, + 657206039, + 44443131, + 741944224, + 921055394, + 112715683, + 834456051, + 657287390, + 1030658, + 391822988, + 505533534, + 327761673, + 989395665, + 816649256, + 296678881, + 614965122, + 455946144, + 523614012, + 449460252, + 104496629, + 348140360, + 283946882, + 736151536, + 466554474, + 368246523, + 587883870, + 136153616, + 797453832, + 319435921, + 596073109, + 989242815, + 919164101, + 775163847, + 383667661, + 381073960, + 370477531, + 287393946, + 370492750, + 559398844, + 339245000, + 858643741, + 497028477, + 64836380, + 279140607, + 47796429, + 504027632, + 990135795, + 621238694, + 850632490, + 937715798, + 838669212, + 767588179, + 95325395, + 570296361, + 811002509, + 178258960, + 259017281, + 725171311, + 422049758, + 848676516, + 514078262, + 606801302, + 595768936, + 609926199, + 615626472, + 587892303, + 456765476, + 115902432, + 843189920, + 552435087, + 13990796, + 199540635, + 92207234, + 569923587, + 132524807, + 327829504, + 356239049, + 969722812, + 626877747, + 500975107, + 816065654, + 364273931, + 546770134, + 942002419, + 330951136, + 605083591, + 657612912, + 734665795, + 204218708, + 245721612, + 287327962, + 535510252, + 530058540, + 166694063, + 735748306, + 816830816, + 524906400, + 334980804, + 550643022, + 41789410, + 702410642, + 48230091, + 954255156, + 465149796, + 167643298, + 52438898, + 190867379, + 410780391, + 731599185, + 4090987, + 560010343, + 90027553, + 743166011, + 574749040, + 34055007, + 470931080, + 622407903, + 640747350, + 993308285, + 887609471, + 599434895, + 973691677, + 394642226, + 48590054, + 865284653, + 774751435, + 440313776, + 574652083, + 108370211, + 398026364, + 724495658, + 469573485, + 799251033, + 505507372, + 156655341, + 892118705, + 57668409, + 420791399, + 131473314, + 946664708, + 240247861, + 816019097, + 353183837, + 821950715, + 288132308, + 71470263, + 947224665, + 512004800, + 209325625, + 732840130, + 897771831, + 750002142, + 800261464, + 66155885, + 218811119, + 742841669, + 957339326, + 44007707, + 996528305, + 820915345, + 737741325, + 137834248, + 733127788, + 808904015, + 442408401, + 362150040, + 278050636, + 607110708, + 339149538, + 309745923, + 348145844, + 893260856, + 986886650, + 301631738, + 460686593, + 361080017, + 449552964, + 882513151, + 455196565, + 661645634, + 756748966, + 290731437, + 514858960, + 300104694, + 323475811, + 553196688, + 584041730, + 193205293, + 965926351, + 814857170, + 699872286, + 437647557, + 402690916, + 694086813, + 107793168, + 895173665, + 433048522, + 474078035, + 973636183, + 229390083, + 492427246, + 590684709, + 483698619, + 2940872, + 959885270, + 566203366, + 330891852, + 637761937, + 883882686, + 486972064, + 81865364, + 568491113, + 925870821, + 87567649, + 454589664, + 154114431, + 73040788, + 180454152, + 927251905, + 897183620, + 834516102, + 220089923, + 766477533, + 369094913, + 548405457, + 953417908, + 506514986, + 322681457, + 290704619, + 284344000, + 616508682, + 392277935, + 125020264, + 371732499, + 386665706, + 486053502, + 513920805, + 739873022, + 949758922, + 727035544, + 103583570, + 781045231, + 153547052, + 848798218, + 672111278, + 646637583, + 71495993, + 715327297, + 994571871, + 271547140, + 469756028, + 913229707, + 966210041, + 424682353, + 678531305, + 700147971, + 757377165, + 218249312, + 44967346, + 216718328, + 616834613, + 181268831, + 694039728, + 520468977, + 78929261, + 853274255, + 768767094, + 454187051, + 986193840, + 32884857, + 980076344, + 115443135, + 487807666, + 812450272, + 565501521, + 605597612, + 751533555, + 137399182, + 244259858, + 435047161, + 10334748, + 587368167, + 92590756, + 529758255, + 140794966, + 581810281, + 86799375, + 942139969, + 913997089, + 38282758, + 598810991, + 601484062, + 456250421, + 568408096, + 67309113, + 338233663, + 855831951, + 351425551, + 217983886, + 835249893, + 668740987, + 437989023, + 503911336, + 24796162, + 885742192, + 79565977, + 332874901, + 825458177, + 843138969, + 864621720, + 249434941, + 405504075, + 641360433, + 556431557, + 143843593, + 47154079, + 777801356, + 689022128, + 963975553, + 327329945, + 200992624, + 491024909, + 727536872, + 728000602, + 61106224, + 511853470, + 881791636, + 195433727, + 393674581, + 543638065, + 493004211, + 161704992, + 127743858, + 667176728, + 524707177, + 807156591, + 235309762, + 963136467, + 988589347, + 852876491, + 701177983, + 177596229, + 117703927, + 419263978, + 746070350, + 558270435, + 536163174, + 87589174, + 981426978, + 49455715, + 986877700, + 88223199, + 83738671, + 199659149, + 106733555, + 582417773, + 594415209, + 760784600, + 103284846, + 864235389, + 207237794, + 217923570, + 821983783, + 134546820, + 353129739, + 929882432, + 690300989, + 324719993, + 328883082, + 13746328, + 471165318, + 287086367, + 513691746, + 437530423, + 587845894, + 284308926, + 966066322, + 279064725, + 491572914, + 390063670, + 532650211, + 236612416, + 245926934, + 18340177, + 877228155, + 76934445, + 494436288, + 680976578, + 12045170, + 173397696, + 599143851, + 361072550, + 100743272, + 332276997, + 955747935, + 136017041, + 300299861, + 714948254, + 263586685, + 341215577, + 957250478, + 876913290, + 432466953, + 728975655, + 267820788, + 499963870, + 134998110, + 712361844, + 199045113, + 298604341, + 730764857, + 260533569, + 119526652, + 879167998, + 916434306, + 942193301, + 558615004, + 606366914, + 366418056, + 890078634, + 713417995, + 552822429, + 655676002, + 414804518, + 37102261, + 369111888, + 474967573, + 447660312, + 214142129, + 696735527, + 814375121, + 927811638, + 354498746, + 758779660, + 639832378, + 303915138, + 495413469, + 574847282, + 167424056, + 71214294, + 500414700, + 777006835, + 243300839, + 935847888, + 145730481, + 172734650, + 39017296, + 876666152, + 746332723, + 806658767, + 896997163, + 838460812, + 103416099, + 383415651, + 893213433, + 55047005, + 532995547, + 204287553, + 277781145, + 706176394, + 773751978, + 64899558, + 949394114, + 508809501, + 854448001, + 813963175, + 922797266, + 241783520, + 235590469, + 226800975, + 52547638, + 123917812, + 579284143, + 958690193, + 88371153, + 10417644, + 891180239, + 788320487, + 890974927, + 345617698, + 59420416, + 902090029, + 846792897, + 684971278, + 922078133, + 547383795, + 445917752, + 383384050, + 38741254, + 457076274, + 331404732, + 935438575, + 708507382, + 436637561, + 483930891, + 996695440, + 843728261, + 705667485, + 335045334, + 277682081, + 283894858, + 621651814, + 90449228, + 594675746, + 934180408, + 755819595, + 573511866, + 686671126, + 260020919, + 749034870, + 46080191, + 342769672, + 313267974, + 602768265, + 536958821, + 907927067, + 931328295, + 184142026, + 338972824, + 859754790, + 437933188, + 454211339, + 343944979, + 592958888, + 519850967, + 827699978, + 258783432, + 138189220, + 896654221, + 226745110, + 751668198, + 820266906, + 512154911, + 531086970, + 694348865, + 457217139, + 415801097, + 154851079, + 271496429, + 721467028, + 4009457, + 285929886, + 26459165, + 621466951, + 361878799, + 960729774, + 570912474, + 984679741, + 656832130, + 855256996, + 268645139, + 822596348, + 797811791, + 834906976, + 22578204, + 53869663, + 929741575, + 866605515, + 298103852, + 185531472, + 519375508, + 28853711, + 918443336, + 561466670, + 67166864, + 18280984, + 279212417, + 850917127, + 701814014, + 344982817, + 381320196, + 709213328, + 329661992, + 105559151, + 671830958, + 387113613, + 437747026, + 285524025, + 839862668, + 134624770, + 337700827, + 618648328, + 718834909, + 742766986, + 826440392, + 700345807, + 360644947, + 500509514, + 82218480, + 487670122, + 646434478, + 330708869, + 482586566, + 959210168, + 319201610, + 216214230, + 989266089, + 539759718, + 73225226, + 904608781, + 866799379, + 982850385, + 134457606, + 459327325, + 989462680, + 587659454, + 975494678, + 761459927, + 187016454, + 946111401, + 888821243, + 124123082, + 333148722, + 104195231, + 319684656, + 790507598, + 792222779, + 717337095, + 506269311, + 864851969, + 240788519, + 248653387, + 308504051, + 65070303, + 541504558, + 10030380, + 476479826, + 836841388, + 576749791, + 876593120, + 775082017, + 435743404, + 347455387, + 765316989, + 662251847, + 638101005, + 732563578, + 985339678, + 289011452, + 683567993, + 346918044, + 85472402, + 304323264, + 556148718, + 261055790, + 656122327, + 62706042, + 91778777, + 89311981, + 532971522, + 350745306, + 562950254, + 957395778, + 586990738, + 274543776, + 568769397, + 939922962, + 110094579, + 484172321, + 521629636, + 523533664, + 900927463, + 612231754, + 947982486, + 631866042, + 855837424, + 781869579, + 926943017, + 430937806, + 182545105, + 390563727, + 801778313, + 94278497, + 255079206, + 645648150, + 371267391, + 401440945, + 789881304, + 904538395, + 978648759, + 990284689, + 950426428, + 785255009, + 662086654, + 356533504, + 816800111, + 749733249, + 377640738, + 583049345, + 165559349, + 512788269, + 95181556, + 555190553, + 541981978, + 764062927, + 220477404, + 830984271, + 901802749, + 812692925, + 731530637, + 219482532, + 547309746, + 869905491, + 514100743, + 545493654, + 452629557, + 817790865, + 936076829, + 491292902, + 912749961, + 407805157, + 36386195, + 634525154, + 900165276, + 289208890, + 341986719, + 839976105, + 338336278, + 297141907, + 620442273, + 350442992, + 711428948, + 421093578, + 211296844, + 993958731, + 386197124, + 229721091, + 870541834, + 332399425, + 252391390, + 397901505, + 491570309, + 141325682, + 324660688, + 427818217, + 944224535, + 290502497, + 480229494, + 682790976, + 948717696, + 970937663, + 843713231, + 343634305, + 5289188, + 680320070, + 842424097, + 680023642, + 10553223, + 480858303, + 387690537, + 406301966, + 974946471, + 474699655, + 631179737, + 443653760, + 412774966, + 942368672, + 93078662, + 408506990, + 90303341, + 823637012, + 444094614, + 376478343, + 191211624, + 766028162, + 758443546, + 633946261, + 732763867, + 914969982, + 170254950, + 875670581, + 259407377, + 197005524, + 924732459, + 331465040, + 174585452, + 850187929, + 642583851, + 190937653, + 327617814, + 351644234, + 350665663, + 18012520, + 665629414, + 157141786, + 837570430, + 320589151, + 768447714, + 654726747, + 659985400, + 969972419, + 143478692, + 387313909, + 74102244, + 250553629, + 824714692, + 94352337, + 560146761, + 125585848, + 264731637, + 712491885, + 362919678, + 639941958, + 646865384, + 702063458, + 426980542, + 275757228, + 263347417, + 111922005, + 36370637, + 70274384, + 505487588, + 184694926, + 116826758, + 81259008, + 473865152, + 258407673, + 5239706, + 847230732, + 750640496, + 163802180, + 223292447, + 139649048, + 597209009, + 305186999, + 596195655, + 877281499, + 173670745, + 386262522, + 489809994, + 169463312, + 320209396, + 548250984, + 802833698, + 779547182, + 579746694, + 656897970, + 253046105, + 797987449, + 389632532, + 753389466, + 880779712, + 318696169, + 325021236, + 773420027, + 203058257, + 18285210, + 19901511, + 390740257, + 703324244, + 287869108, + 880281290, + 220847063, + 116761709, + 676247381, + 35267507, + 412246804, + 662230323, + 853546490, + 979663972, + 959307920, + 898348754, + 210591657, + 540311085, + 300080766, + 98414606, + 33718052, + 987350769, + 64379484, + 94802310, + 44792219, + 439206017, + 803898137, + 80201635, + 327216841, + 954220684, + 361994331, + 273451076, + 398153703, + 363469629, + 935566376, + 528525645, + 300682946, + 454776975, + 874358242, + 515452753, + 547372499, + 119880058, + 743023054, + 851929797, + 241543307, + 487342339, + 599609882, + 721813957, + 743872900, + 130909806, + 196625989, + 932199440, + 973402166, + 795950025, + 398277281, + 475101519, + 220365916, + 629779594, + 502544780, + 727353428, + 571292659, + 452911958, + 723210497, + 318772155, + 793792894, + 90698849, + 904067235, + 633700388, + 229857094, + 790302448, + 51959922, + 113667129, + 366229834, + 428985913, + 587736299, + 559694602, + 129763549, + 788423154, + 134739344, + 670897303, + 402328038, + 41038782, + 895008532, + 531630217, + 788457079, + 353247597, + 855693687, + 161664222, + 588557248, + 800105051, + 763901120, + 636603771, + 492370667, + 863953769, + 335958112, + 278297477, + 723068632, + 845380677, + 995931973, + 401432027, + 86743051, + 825539280, + 532144523, + 715947996, + 880407972, + 793180015, + 186842235, + 848652786, + 584601132, + 322690467, + 897821662, + 46844859, + 870853527, + 962934256, + 491457563, + 335664587, + 978439816, + 124712548, + 460203135, + 964682432, + 69428616, + 554256346, + 663348144, + 263224793, + 970321471, + 626841717, + 585433770, + 867858890, + 22867142, + 817135209, + 668438505, + 754678274, + 178124003, + 612963047, + 699839953, + 149343915, + 2518386, + 629752686, + 142109997, + 287071359, + 732610742, + 328078194, + 87813798, + 74292482, + 648297702, + 860151823, + 578530718, + 599386602, + 210364557, + 167760569, + 192996258, + 990574342, + 267310927, + 627839069, + 192542214, + 311783652, + 970970736, + 916418145, + 974361422, + 240867096, + 705843110, + 42918927, + 260834697, + 454697697, + 355405484, + 479460147, + 479465952, + 762583144, + 313215430, + 415599026, + 29636153, + 410040115, + 454026692, + 177740335, + 385167316, + 10701418, + 860944331, + 29594624, + 849179549, + 5234398, + 140915240, + 293235470, + 752662454, + 546863896, + 300856168, + 901638585, + 680570223, + 22436454, + 180438563, + 231338089, + 945230831, + 622349329, + 272079581, + 623943469, + 192328261, + 390626461, + 242140403, + 37537807, + 483507012, + 630631593, + 176694346, + 510422597, + 91909954, + 186974170, + 167659547, + 290908763, + 710501960, + 40668161, + 393446215, + 309267020, + 478887059, + 203148881, + 442601084, + 215339550, + 698978993, + 653260703, + 566072046, + 240084403, + 110051077, + 12800240, + 4313193, + 883806191, + 648022827, + 199239797, + 703856470, + 211180792, + 831715398, + 609687999, + 579557894, + 665258180, + 209104273, + 250260460, + 406868379, + 622512573, + 848343546, + 10994522, + 203190025, + 657919345, + 80644087, + 965552206, + 220424094, + 884065657, + 106842894, + 246052984, + 287824943, + 341755742, + 748926733, + 131683691, + 559359465, + 143657816, + 727286521, + 438985687, + 685059618, + 523712231, + 54444965, + 268061549, + 669189596, + 919948475, + 10925329, + 579635523, + 666178541, + 527492162, + 828532198, + 43945238, + 756208569, + 94941958, + 237156632, + 434187287, + 183572812, + 587996323, + 222888155, + 723877676, + 206736677, + 54940178, + 986580153, + 481470471, + 774174917, + 24999926, + 762946222, + 399281064, + 149479316, + 639259336, + 111127657, + 440673702, + 624913127, + 447901006, + 444190377, + 281796848, + 826093934, + 896304359, + 367430493, + 50131456, + 611594935, + 927991976, + 435385715, + 201497913, + 351436582, + 421448861, + 487440495, + 679839673, + 393678096, + 438704551, + 381325508, + 287169722, + 237903995, + 595222517, + 310172320, + 552771229, + 330909376, + 88650017, + 172490692, + 41399368, + 439594118, + 535301850, + 356431300, + 400705498, + 873822525, + 922210872, + 759218545, + 438576294, + 888340185, + 181079470, + 460967033, + 588974543, + 133818731, + 960904505, + 166002680, + 694292641, + 73554581, + 471365694, + 587603773, + 104766887, + 329834426, + 345651442, + 121478764, + 616859833, + 358149204, + 929207717, + 848664033, + 80379821, + 698719520, + 435980760, + 241682195, + 480644775, + 99954636, + 571424101, + 189841044, + 783806869, + 780927512, + 485914986, + 871856020, + 562602171, + 727557040, + 300823292, + 128994397, + 942660645, + 696814648, + 776446798, + 394806849, + 699966813, + 870273618, + 253405396, + 61526336, + 847171887, + 317939955, + 807189858, + 326213245, + 935265200, + 136477125, + 615984552, + 558988609, + 825904843, + 996989454, + 166345195, + 338763009, + 774860209, + 470599328, + 736143068, + 456125161, + 190721065, + 642756197, + 648538105, + 769103356, + 941656308, + 775923173, + 638351277, + 41068850, + 754832028, + 489884274, + 611748130, + 422911874, + 157604088, + 760804465, + 446420275, + 629336200, + 410630443, + 5265606, + 929240986, + 72875215, + 501287494, + 415588899, + 891179687, + 821601673, + 488123556, + 890322956, + 192782033, + 986138890, + 954064636, + 637713465, + 229730569, + 643012900, + 83715858, + 934535652, + 229679791, + 231405231, + 834837539, + 650892426, + 826041207, + 480133028, + 94085576, + 630623008, + 584342159, + 281838339, + 704775720, + 427620282, + 170858497, + 391476850, + 448879500, + 582546058, + 383978145, + 968746288, + 433654178, + 716129917, + 710758093, + 58530496, + 357952895, + 708577626, + 794201013, + 293295188, + 734214003, + 6982465, + 779040325, + 406734072, + 839745480, + 76710636, + 36719612, + 736817796, + 157971575, + 753570076, + 721525527, + 938872220, + 235491071, + 311900255, + 992637244, + 571911982, + 831519387, + 703174812, + 526163873, + 460787023, + 661670129, + 63337743, + 868632562, + 877521026, + 684096410, + 955394432, + 435616721, + 438442308, + 265485524, + 312779316, + 216382548, + 847323780, + 619004355, + 728448408, + 877960851, + 687995767, + 314530507, + 744533234, + 350580413, + 568958864, + 211959544, + 506924665, + 781093571, + 825444681, + 651590644, + 155166099, + 660855920, + 945833256, + 427493200, + 931789237, + 9990374, + 927504813, + 169759111, + 653739003, + 227274636, + 589835541, + 211097203, + 800195886, + 123370551, + 206571626, + 861813933, + 458018878, + 335361380, + 942942077, + 913315986, + 222762739, + 734169259, + 404032353, + 296161952, + 453563930, + 571301492, + 277768389, + 292913668, + 852379827, + 347178776, + 992846086, + 871177359, + 282076557, + 112018226, + 784279879, + 316897027, + 364259228, + 339200620, + 645757912, + 491593549, + 454667804, + 950191275, + 524797093, + 921106395, + 578182586, + 916698224, + 505061888, + 484948266, + 159557474, + 171812207, + 778384706, + 804760988, + 94741258, + 152653137, + 35544750, + 877025065, + 588580548, + 451725442, + 789546873, + 818574586, + 88321255, + 71441800, + 404960023, + 624030855, + 847884267, + 641623047, + 742208344, + 612975423, + 364270633, + 437080854, + 487175359, + 401274220, + 612376426, + 853995062, + 797862558, + 764201968, + 27297369, + 82215489, + 100297733, + 844447871, + 360720329, + 490222650, + 505051968, + 436602253, + 317332571, + 730757435, + 106997514, + 362527989, + 623750056, + 803900527, + 995381898, + 600104756, + 121512467, + 993724939, + 102976123, + 787292490, + 148233709, + 239475988, + 671264854, + 415489565, + 605253474, + 447857891, + 2219245, + 656880787, + 742089881, + 305152293, + 931320391, + 849585608, + 916043366, + 186969269, + 874305529, + 440293359, + 890459180, + 732586442, + 430762872, + 249858324, + 133568971, + 572187431, + 649502665, + 411459312, + 993656390, + 91453112, + 196036183, + 195021753, + 999031859, + 409583625, + 476358163, + 672179547, + 175016017, + 825731741, + 607640606, + 781859762, + 259518930, + 957912271, + 635781340, + 536115403, + 737063649, + 355202725, + 552974103, + 197846915, + 408639680, + 120653890, + 614131033, + 666669878, + 246916045, + 835700614, + 331865146, + 41452484, + 97229661, + 169412140, + 632170769, + 119358299, + 577269592, + 125163135, + 368206421, + 858515173, + 455716278, + 590917187, + 518749759, + 283957093, + 123141767, + 40546500, + 304286877, + 354266919, + 513167071, + 910515800, + 218199673, + 51812111, + 797831708, + 668681237, + 507456199, + 304157501, + 672445030, + 388903091, + 876963024, + 282505389, + 17306740, + 90601224, + 553276131, + 588707280, + 796014994, + 291358826, + 124275162, + 195583900, + 792895389, + 778778076, + 856157008, + 140180858, + 712167216, + 422467075, + 29575986, + 226478964, + 707512522, + 121071829, + 324921564, + 326022464, + 410002625, + 233893416, + 984911980, + 541364462, + 408798011, + 372542713, + 198625437, + 869472544, + 574528281, + 463549977, + 196436049, + 13053924, + 862776254, + 663683181, + 551082289, + 434136458, + 340811886, + 896518822, + 505177015, + 582653457, + 54714846, + 740133752, + 572002112, + 578033377, + 959956795, + 715140026, + 797708350, + 441501270, + 937197653, + 945043904, + 105096007, + 640128986, + 618344780, + 318934313, + 712810752, + 902923108, + 932096298, + 554269433, + 865429996, + 235005481, + 776740271, + 62876935, + 876416443, + 844435101, + 246980822, + 820773320, + 4620981, + 686414928, + 673693099, + 262449609, + 513164825, + 17788565, + 159086684, + 912339533, + 331844657, + 136453624, + 972860832, + 970171661, + 711536695, + 569394284, + 639149926, + 366089639, + 704674177, + 189206381, + 695020019, + 80283969, + 718652073, + 169592022, + 136939901, + 903509771, + 944364138, + 364220656, + 517418405, + 563484263, + 415108693, + 188173487, + 654527894, + 913405866, + 341834987, + 257760674, + 485821812, + 989932748, + 374023615, + 4641799, + 469158805, + 198445864, + 616872619, + 109805196, + 85266588, + 491323228, + 631471846, + 178143869, + 328665617, + 994070327, + 363748716, + 893046339, + 653958976, + 888271743, + 162903301, + 505628034, + 23148659, + 672970526, + 914903164, + 444624047, + 754132264, + 350271105, + 336374455, + 567935516, + 56379500, + 867165002, + 982734861, + 687442667, + 128513546, + 396125699, + 419058188, + 288209085, + 552515526, + 64488965, + 56408182, + 513964508, + 441504167, + 929609672, + 460875866, + 98412256, + 72048688, + 80146100, + 486688281, + 944996192, + 548593993, + 148450290, + 762900984, + 520596545, + 847476239, + 901228027, + 361605943, + 649795019, + 44956546, + 494938176, + 727471104, + 401438214, + 12000439, + 693479624, + 618424712, + 189414454, + 316462351, + 561281076, + 445222715, + 389718447, + 563726196, + 305990171, + 666399949, + 281473508, + 257517755, + 868143122, + 76126897, + 388884355, + 565852030, + 982815755, + 697803217, + 386020416, + 482960902, + 36003782, + 177782706, + 639360955, + 343461607, + 407237584, + 744811379, + 377510793, + 971985250, + 123845867, + 628346871, + 317870596, + 15324772, + 622652538, + 767579850, + 836703909, + 274243607, + 245257216, + 346080411, + 554386104, + 173661955, + 469167672, + 672775979, + 805022944, + 738033083, + 953606753, + 420932286, + 387642314, + 312927301, + 544727408, + 677043093, + 235066183, + 765563299, + 737959455, + 323829187, + 649197178, + 466591243, + 354684893, + 769553783, + 600169867, + 126015878, + 912578930, + 908448537, + 751443548, + 64782758, + 869749742, + 945858965, + 927700649, + 195417241, + 366765425, + 218342135, + 271039684, + 988678915, + 808789847, + 521403260, + 270890023, + 45653107, + 143862138, + 2223705, + 596645047, + 704579293, + 426645733, + 748929343, + 963907799, + 333849739, + 628385925, + 871798299, + 10802346, + 389788457, + 304733795, + 85386247, + 263954563, + 543076917, + 987186194, + 499994550, + 396429660, + 327317655, + 750758453, + 122170907, + 15579994, + 663173401, + 624726230, + 441148491, + 309302989, + 999118031, + 410370784, + 908356982, + 141303645, + 618170149, + 472317022, + 241883167, + 238371076, + 664974564, + 53394948, + 678061832, + 303351365, + 868060461, + 992565092, + 990392471, + 458046846, + 502966270, + 449705735, + 116401463, + 205136196, + 87634324, + 85746580, + 262474018, + 420448325, + 186333339, + 932982329, + 189084422, + 410594036, + 995620004, + 446982214, + 671093834, + 248201801, + 709997569, + 914882005, + 173031135, + 104211755, + 968777932, + 706525446, + 914254777, + 500037702, + 945603186, + 246160970, + 426090379, + 93810342, + 873721661, + 47608883, + 350073684, + 930391855, + 20505484, + 473521925, + 741943777, + 700577479, + 545082122, + 500067972, + 809122877, + 258519285, + 277282432, + 634388242, + 688136919, + 834570421, + 324274899, + 683315881, + 529665461, + 164396073, + 872361966, + 848847433, + 117964072, + 964087346, + 6899392, + 499559785, + 217669223, + 215925404, + 208045659, + 788310054, + 259989686, + 412815360, + 357681939, + 46173613, + 543224374, + 601563008, + 481129250, + 625777457, + 412273193, + 730681536, + 129564105, + 540955803, + 391248158, + 402025095, + 870994251, + 650941623, + 163531677, + 281581809, + 290497373, + 311039079, + 835997147, + 170688431, + 707937918, + 975415534, + 609505352, + 334976265, + 659500722, + 303188853, + 980736628, + 659075906, + 533836218, + 343177901, + 98318384, + 29366025, + 247807382, + 227862183, + 894981439, + 722697201, + 862061563, + 333672420, + 255789005, + 202304538, + 716984184, + 917089510, + 970320277, + 340191772, + 9221698, + 395303667, + 238814321, + 400895588, + 153179670, + 44852915, + 300914801, + 878528211, + 751439950, + 576239034, + 255276143, + 426038180, + 90277775, + 189104000, + 772565113, + 602143145, + 870039125, + 806241687, + 204959118, + 327833340, + 316039021, + 582681407, + 69222034, + 126184959, + 726011407, + 462559737, + 749454813, + 601329495, + 849012599, + 213151497, + 339217013, + 219432479, + 452840227, + 273729228, + 215765975, + 806934334, + 165620550, + 995282090, + 211246093, + 888354728, + 6314430, + 248618352, + 366566245, + 793337195, + 52818036, + 353684178, + 256898721, + 493666787, + 962005155, + 964203500, + 424335749, + 213384055, + 842343703, + 599819385, + 843686374, + 905293137, + 438930397, + 173981573, + 816728314, + 553505623, + 609857487, + 9373195, + 678019312, + 443295117, + 972061987, + 607068663, + 632822529, + 923355218, + 101761235, + 707947968, + 319813941, + 356328224, + 758940588, + 298577398, + 42554416, + 70977550, + 206655519, + 85060775, + 698921138, + 736883120, + 300404492, + 640758591, + 935624221, + 242395287, + 509990769, + 988352101, + 467405319, + 459580032, + 869053075, + 570534108, + 784340416, + 670684445, + 539659082, + 475511678, + 509162982, + 382617474, + 720372936, + 45237078, + 655872761, + 321353419, + 856388953, + 121261650, + 281719366, + 913421592, + 445751827, + 704589003, + 704893128, + 198001747, + 854779597, + 420549944, + 558896949, + 676240151, + 759183957, + 408359777, + 493508520, + 652275421, + 560410837, + 354750505, + 349537617, + 746395884, + 405735943, + 358007310, + 809616048, + 781039384, + 371834993, + 104198767, + 276952338, + 307088821, + 643719698, + 990618857, + 13404953, + 237596345, + 618047007, + 775319289, + 492430457, + 667772680, + 51952437, + 41940865, + 613111346, + 797733445, + 824155293, + 403664499, + 870427361, + 706160105, + 437981903, + 504964852, + 793568105, + 48220953, + 655736424, + 146570431, + 37611569, + 679866402, + 537860034, + 633952930, + 209877715, + 40122823, + 553518087, + 286909798, + 360305566, + 421094346, + 694207326, + 379985769, + 573202393, + 226161456, + 315233143, + 988108041, + 548209397, + 975066640, + 741539074, + 638668207, + 770160410, + 704087737, + 341088682, + 755534729, + 351084881, + 910818124, + 989363984, + 511395510, + 772943715, + 142603367, + 376859575, + 777928205, + 275029436, + 418653835, + 449371080, + 983764714, + 839116801, + 84977498, + 477225707, + 630693092, + 687758641, + 600086242, + 749925715, + 408908055, + 859463460, + 661466904, + 756192716, + 251661025, + 455407480, + 44603931, + 469177257, + 522875425, + 131387051, + 905989876, + 98735798, + 297200979, + 138846101, + 791910679, + 635195396, + 618467862, + 659032500, + 682024102, + 655550778, + 283108417, + 903365827, + 841128239, + 348472609, + 529208124, + 322164728, + 670395204, + 553672228, + 485415686, + 309463065, + 684138469, + 304083844, + 357908813, + 440162540, + 315642098, + 840253232, + 532892884, + 220502344, + 32129853, + 347925003, + 660605797, + 225671013, + 953747600, + 48084179, + 558482137, + 809720028, + 685628676, + 639427498, + 368961935, + 272128877, + 712878510, + 914862654, + 254974920, + 90279966, + 486249988, + 324486576, + 826839267, + 384048111, + 739076839, + 268255474, + 273089648, + 509276447, + 669143066, + 644293557, + 26528681, + 979578124, + 78928151, + 938023182, + 416832254, + 480230870, + 286163681, + 295090170, + 70052976, + 138096066, + 707369237, + 369900852, + 678899437, + 375011183, + 842278746, + 375350647, + 803268912, + 490289085, + 840446510, + 537227573, + 892654654, + 679585417, + 928546065, + 734571632, + 53454473, + 977385674, + 847303289, + 448190564, + 443681451, + 640187208, + 53720483, + 925473810, + 250658583, + 349474254, + 990140522, + 86543711, + 369411292, + 144457984, + 18534454, + 706889420, + 794610970, + 613541931, + 730556536, + 96983702, + 588349004, + 630819828, + 336347364, + 706249525, + 966613524, + 923984923, + 341804860, + 372292108, + 845598165, + 84123764, + 208309347, + 441774473, + 525912301, + 315908844, + 194132762, + 788475820, + 835167295, + 566153430, + 751721252, + 401229852, + 674713168, + 532353523, + 77632469, + 642557144, + 222474304, + 936269133, + 980620551, + 428307693, + 972912007, + 434124545, + 265569450, + 754071354, + 821013607, + 923385224, + 706930216, + 537089345, + 527131211, + 277860063, + 779030207, + 760311775, + 167664254, + 109406896, + 147530909, + 965998493, + 11295779, + 497098950, + 198023184, + 976790327, + 448091509, + 427427718, + 481363051, + 971733020, + 36128915, + 923120129, + 333721952, + 88035446, + 827914485, + 988179635, + 526726868, + 162618037, + 60619333, + 274347793, + 765853082, + 980816181, + 953568509, + 739845515, + 434251687, + 769931181, + 39899148, + 123869212, + 158292324, + 795439280, + 172082555, + 655787536, + 977857732, + 661113074, + 139451207, + 160621216, + 759148103, + 51555999, + 831377257, + 774586618, + 649162478, + 459557982, + 859284046, + 188717713, + 421510700, + 959386814, + 95176103, + 832818623, + 912112832, + 653614000, + 89638957, + 320014180, + 66912471, + 181249885, + 808898497, + 673604638, + 872298954, + 563251025, + 339852237, + 231947272, + 695479339, + 155377417, + 423938064, + 397378734, + 32410785, + 179375849, + 240760980, + 359999192, + 287216312, + 391948864, + 820452175, + 82233407, + 774568344, + 337526289, + 173192770, + 300828867, + 287944772, + 871122680, + 638649166, + 196554392, + 695956301, + 54999484, + 917518491, + 937567211, + 545716316, + 138619194, + 835584064, + 547288387, + 708059858, + 280742541, + 913433716, + 183716089, + 981078052, + 8726152, + 750967409, + 613587558, + 710076379, + 294691857, + 396767116, + 913506449, + 931136742, + 413229884, + 908515463, + 723621303, + 112543123, + 720887516, + 777241552, + 255030118, + 571185080, + 945038867, + 637128357, + 102206429, + 603926348, + 718045150, + 305591271, + 225068308, + 361513931, + 707512826, + 288938289, + 269116324, + 210215062, + 866133350, + 493797150, + 648616850, + 346734378, + 279473116, + 370279094, + 666118751, + 482956918, + 49970649, + 355750819, + 448616034, + 16732616, + 785118237, + 193036058, + 78500326, + 318233721, + 442330201, + 897897564, + 418727528, + 351401602, + 128021743, + 64190729, + 635752529, + 599070910, + 925561284, + 191306219, + 37824320, + 678072264, + 449659270, + 212555109, + 372162533, + 145678700, + 370293600, + 408850479, + 176344194, + 642277157, + 246278045, + 504680212, + 29008655, + 331939794, + 309837337, + 331580007, + 129809303, + 175480622, + 799266310, + 100553564, + 670870403, + 895525316, + 331632601, + 763724207, + 246754761, + 538553245, + 501153882, + 62562321, + 440716443, + 272156734, + 170558858, + 706141076, + 580089238, + 658682815, + 96117443, + 417807388, + 113519183, + 639368537, + 400065919, + 657113965, + 918310729, + 662876057, + 174769053, + 335543604, + 975822381, + 109218837, + 573834470, + 574128206, + 890693728, + 321181888, + 251494245, + 662150082, + 895869625, + 537108936, + 941137, + 254314158, + 17265292, + 63202366, + 171516380, + 278945492, + 600799293, + 971190456, + 577436146, + 60436479, + 403952264, + 433851903, + 920206922, + 553285288, + 767838428, + 105254329, + 496287479, + 756037158, + 119405828, + 179922544, + 715310173, + 303679971, + 914766439, + 145281561, + 259997846, + 365532491, + 528671550, + 553135392, + 918293895, + 270358388, + 36322026, + 299934422, + 138299178, + 95741312, + 87205708, + 177431674, + 86615803, + 757453380, + 337341203, + 600489337, + 934348391, + 289474459, + 348968837, + 408591207, + 659040188, + 759517995, + 27200229, + 608850193, + 614423387, + 563721594, + 377731843, + 54650509, + 48666057, + 602552420, + 655233191, + 712757251, + 542918264, + 327288039, + 417929882, + 511761726, + 746693635, + 650671534, + 360821194, + 458627735, + 647704766, + 545536912, + 811702407, + 739227086, + 252864723, + 530843864, + 308515308, + 394990324, + 39051726, + 615455843, + 878943541, + 779435411, + 182169202, + 29296817, + 678915540, + 155426868, + 484415306, + 477515057, + 794511607, + 230518268, + 539756100, + 50760132, + 539541287, + 318722917, + 162780350, + 621766503, + 994503625, + 794215500, + 876962645, + 178698996, + 379993525, + 440274795, + 971871029, + 161818793, + 891477292, + 64229491, + 926036098, + 485339354, + 987310144, + 78657991, + 301273978, + 51511457, + 493394108, + 222501433, + 859054619, + 865818727, + 796461111, + 230461315, + 24656447, + 924645322, + 406590413, + 724435932, + 199653864, + 876886723, + 189394896, + 377978395, + 639762163, + 415206018, + 366203807, + 115857552, + 730458041, + 417002505, + 641566156, + 573077463, + 661341281, + 311057921, + 568529171, + 247714875, + 829162231, + 868271220, + 637545156, + 978885695, + 468870551, + 691210915, + 371624664, + 205240478, + 243307141, + 738556000, + 75770446, + 240541962, + 879152038, + 288829374, + 297755714, + 731086592, + 647020745, + 269814587, + 281341075, + 177287469, + 397225143, + 843875584, + 10720423, + 548349103, + 281657632, + 822684418, + 256633901, + 329054124, + 860632519, + 305183857, + 211226059, + 588908107, + 576566499, + 795428791, + 74045673, + 442064211, + 985937886, + 257301628, + 867277608, + 506150149, + 627232805, + 140575824, + 821354131, + 415763872, + 551012563, + 830602779, + 954656899, + 235717231, + 115698213, + 276987141, + 28463431, + 432763895, + 455648027, + 592791943, + 795943793, + 447882805, + 299701804, + 284635031, + 95399554, + 432693706, + 499240800, + 268042594, + 377812909, + 448726957, + 812917528, + 55268715, + 406813457, + 783379732, + 110299831, + 608777105, + 325820356, + 575875663, + 345383077, + 268581643, + 664134519, + 891704432, + 33588181, + 237555799, + 823352862, + 560579208, + 634136911, + 832456612, + 777484516, + 623750032, + 980393779, + 534540352, + 469635270, + 670771446, + 989058021, + 583251232, + 231860007, + 704645071, + 75667327, + 700877508, + 220784493, + 773207189, + 401817434, + 973950758, + 276981912, + 219804796, + 112541903, + 386676357, + 390965775, + 737358837, + 675651234, + 596160544, + 545488026, + 876472650, + 31148164, + 288604889, + 588094112, + 522178373, + 971671429, + 792141597, + 731708545, + 890402478, + 599162114, + 836535653, + 835303135, + 345310767, + 284020826, + 285725989, + 180624172, + 518100188, + 400670717, + 562634997, + 133400078, + 662057787, + 655093699, + 441965273, + 603214694, + 783210713, + 854600952, + 883285386, + 90471009, + 871603144, + 705717285, + 791150727, + 3046974, + 992291954, + 265339517, + 402100166, + 932778872, + 41246238, + 651855194, + 426351904, + 236570599, + 971421379, + 536086636, + 147164568, + 877060831, + 876520580, + 267314609, + 212163625, + 855789240, + 616502042, + 57403665, + 868403835, + 779942405, + 270147401, + 767938764, + 327881559, + 952840016, + 623046284, + 489995535, + 247398813, + 633183728, + 248132556, + 645407077, + 535234539, + 797636359, + 261955501, + 795292490, + 451685333, + 661892131, + 131261825, + 934279728, + 905389301, + 91513155, + 463540868, + 557540286, + 576933742, + 603506184, + 743236618, + 389084373, + 900174734, + 788849873, + 600455506, + 637167962, + 855976252, + 314336436, + 73901858, + 355118786, + 360679297, + 264843971, + 723716451, + 465264849, + 614440198, + 8096358, + 319401491, + 26104038, + 466391983, + 789727267, + 435801242, + 82770876, + 83636291, + 902081376, + 652624017, + 776981435, + 116612567, + 768340398, + 76492646, + 828593660, + 763965420, + 769137942, + 375499090, + 502552588, + 543774199, + 373939520, + 414108858, + 666831108, + 188107135, + 784329079, + 564860767, + 626931349, + 653167089, + 235765231, + 501561950, + 916465243, + 771524659, + 12586771, + 113777759, + 21263503, + 811295570, + 741767401, + 710077068, + 839310816, + 781958654, + 91298905, + 756030071, + 179056601, + 69998034, + 162957762, + 108200613, + 470434275, + 311020688, + 594344597, + 418713573, + 295379432, + 74544399, + 187008632, + 302760563, + 622632187, + 726639479, + 350021602, + 246163574, + 966848464, + 862177225, + 747589186, + 882943647, + 208776012, + 402184160, + 805215536, + 126566328, + 226522219, + 513898173, + 116197083, + 93171898, + 46258155, + 552968738, + 857948919, + 812688414, + 122715537, + 992167063, + 533610085, + 287067334, + 458451057, + 409664950, + 458995259, + 121350032, + 741277002, + 468946704, + 634824875, + 663046513, + 867876479, + 546301291, + 85185180, + 40867285, + 883414960, + 3714136, + 768428063, + 563849605, + 280506204, + 370946765, + 466410142, + 168186769, + 921913214, + 572887961, + 174863643, + 596714263, + 210325011, + 9314519, + 969848265, + 999190316, + 272949552, + 474298602, + 910844150, + 389317654, + 639001003, + 495298467, + 382589012, + 833518815, + 708703844, + 625882747, + 490432307, + 812633821, + 9355725, + 553171636, + 206480780, + 277619881, + 940418200, + 986787085, + 769223417, + 555267035, + 263714466, + 18784083, + 187764967, + 340602065, + 111172952, + 600182648, + 236056629, + 403758176, + 6144386, + 321550223, + 167502567, + 586585376, + 510156977, + 129408915, + 748975306, + 782386993, + 545988257, + 451500249, + 556751061, + 576151702, + 67989906, + 842288916, + 432719152, + 434932575, + 547799459, + 643638394, + 30359108, + 313732742, + 436563454, + 715188309, + 390227762, + 125483610, + 840889392, + 713598196, + 718623191, + 284770837, + 459232784, + 6557511, + 642673484, + 644168306, + 105717080, + 229526330, + 207630088, + 973362655, + 509717688, + 20598438, + 638317999, + 677818289, + 430927803, + 350762833, + 329803854, + 338066278, + 361398156, + 133980828, + 72386739, + 51123340, + 209686206, + 103462785, + 586955407, + 445620649, + 339816761, + 769570467, + 331079507, + 673857758, + 534167457, + 434754968, + 785512746, + 691381391, + 316124475, + 890403661, + 624806118, + 433850340, + 270985772, + 424775652, + 293791928, + 410905424, + 659030203, + 352651410, + 447467133, + 461743049, + 749679684, + 293590961, + 931961374, + 780784124, + 14744686, + 332098779, + 848370887, + 730433531, + 634018458, + 176443895, + 717365221, + 132830163, + 965733904, + 245620751, + 239615615, + 499717224, + 861886846, + 585036267, + 901274051, + 988881293, + 396710353, + 142791794, + 711665581, + 469665203, + 233223261, + 504139985, + 13549732, + 401900828, + 51899483, + 659574567, + 296934629, + 54341542, + 822628867, + 977900622, + 866425832, + 95322824, + 865375162, + 481653939, + 640118639, + 546398597, + 787928983, + 153116190, + 7890339, + 837179917, + 987190896, + 414857312, + 99048215, + 412199189, + 325786520, + 113690598, + 690333639, + 256139227, + 326538858, + 118944527, + 373799282, + 138736325, + 743864324, + 618894257, + 836107323, + 584632087, + 869429017, + 462105091, + 765486256, + 943478841, + 228974191, + 159794583, + 386726175, + 161282771, + 439775362, + 557110513, + 120091090, + 162756608, + 194978562, + 263978100, + 906477531, + 487002914, + 858595354, + 11128778, + 82920486, + 637605959, + 541478550, + 163990560, + 237506834, + 332675752, + 887570784, + 976714717, + 564615134, + 904860238, + 360354602, + 515896080, + 461277188, + 842390577, + 562564595, + 643536648, + 318532347, + 343164702, + 441369742, + 806963165, + 618022631, + 92791139, + 396493963, + 831252962, + 636315725, + 781073868, + 731243977, + 557316963, + 374673606, + 188685812, + 551200660, + 359299322, + 514257805, + 232447154, + 279581939, + 296811393, + 404543333, + 185298756, + 876534483, + 946020637, + 159756971, + 149591198, + 420356938, + 122235137, + 285046753, + 671542840, + 609831342, + 109655895, + 273289923, + 599499080, + 728468931, + 962494903, + 824209126, + 233753018, + 699428182, + 42945786, + 330547966, + 251344057, + 874310721, + 445373735, + 383110298, + 406768097, + 719931186, + 795631208, + 833844968, + 61006805, + 244420387, + 21449557, + 912478578, + 215426564, + 106813455, + 515950828, + 2914751, + 911035306, + 941425048, + 846413766, + 398897115, + 304163593, + 202396511, + 454698480, + 515150333, + 250383836, + 897226341, + 10849447, + 698882713, + 300622731, + 772958088, + 546566715, + 649691677, + 621512880, + 661107554, + 329290799, + 555593004, + 322134199, + 404818733, + 167399599, + 572535364, + 764061200, + 191726217, + 494304860, + 138671949, + 823697097, + 152084302, + 371449896, + 204396184, + 624766429, + 513129350, + 301193550, + 537867939, + 396124409, + 219588692, + 964205677, + 439517392, + 989598665, + 388522003, + 363776039, + 396065424, + 909649020, + 375066434, + 937359922, + 466873352, + 131928877, + 427319735, + 224029730, + 359036787, + 287850565, + 206977132, + 499497275, + 109630211, + 268732118, + 348934305, + 384331743, + 336334831, + 927902017, + 751100875, + 777044861, + 41026251, + 160033630, + 992028455, + 329441096, + 655503647, + 105077357, + 465940353, + 777933302, + 535127989, + 123262302, + 238540346, + 41676836, + 834099172, + 411935566, + 777467875, + 664107237, + 152717713, + 780407217, + 824242724, + 113402742, + 326455324, + 827948385, + 722854397, + 175427269, + 875393760, + 539888382, + 663175279, + 899490126, + 816901135, + 868826640, + 697839142, + 105986992, + 227499744, + 463038007, + 166642760, + 736744391, + 306030301, + 982998451, + 897274723, + 751874378, + 390424526, + 226205722, + 992788828, + 930803562, + 738755090, + 579960456, + 967630497, + 562230231, + 689477639, + 879085704, + 769267834, + 386301566, + 156146970, + 58161548, + 820243881, + 388321741, + 714461998, + 370600975, + 914368008, + 775198736, + 637285907, + 387537422, + 210325548, + 308849245, + 874114449, + 87864165, + 773758093, + 283365288, + 851800500, + 219209400, + 806983471, + 184858672, + 263149355, + 277866284, + 911673464, + 763529536, + 331472970, + 329848563, + 299489443, + 41792417, + 34674845, + 520203229, + 213954546, + 446582179, + 449432098, + 805394810, + 206893201, + 153337902, + 314547708, + 529079165, + 810036622, + 351330494, + 364306015, + 71887071, + 128022064, + 169803339, + 274423528, + 676652169, + 923073549, + 417507770, + 423557583, + 297500000, + 329529966, + 92409938, + 605648515, + 355671204, + 694658521, + 419762706, + 8140361, + 42342403, + 48714514, + 396745722, + 507775512, + 949782029, + 389710784, + 116665317, + 29726704, + 281007213, + 862273421, + 163223781, + 230871548, + 947006787, + 35813445, + 928151802, + 955752783, + 417285858, + 118097085, + 177195936, + 407388562, + 758458654, + 280070695, + 828471624, + 891060444, + 786882692, + 116006488, + 196584612, + 708963433, + 103098665, + 594208228, + 959428928, + 469535450, + 686679120, + 324234248, + 42345272, + 666503648, + 251706353, + 8303103, + 370749534, + 518276445, + 530350986, + 732725001, + 922222392, + 806082634, + 37313033, + 507794333, + 98053961, + 576909686, + 370556621, + 410459451, + 298117869, + 421638294, + 938882547, + 291332587, + 704790360, + 743728525, + 283216145, + 703844667, + 26723361, + 868505140, + 257916643, + 601849262, + 772205879, + 237754601, + 631392290, + 900153531, + 563649373, + 335047330, + 967887412, + 78730240, + 152661603, + 194184373, + 249971807, + 987245665, + 157084102, + 614498694, + 898201098, + 555881854, + 694702349, + 342823079, + 352577520, + 245082624, + 1581677, + 723390937, + 70142527, + 2065162, + 66099391, + 472867402, + 563477019, + 431419881, + 464260960, + 255367496, + 889304308, + 561298268, + 912480395, + 111708649, + 321759591, + 143364510, + 764953443, + 364724436, + 452339841, + 819084851, + 20560233, + 917783541, + 136279261, + 572393877, + 445768943, + 219875492, + 508269450, + 61087201, + 467232008, + 307179481, + 635087817, + 473653196, + 439386763, + 135486545, + 968300345, + 175020991, + 341381500, + 148472514, + 886093849, + 151509505, + 991979317, + 549998682, + 223982027, + 257940633, + 764216406, + 595741274, + 337091458, + 545549109, + 971069844, + 774378765, + 566959720, + 437960496, + 933240778, + 375813240, + 982487122, + 224582456, + 563632329, + 974633371, + 16350761, + 434038189, + 775509790, + 533381137, + 857928627, + 907987564, + 857762284, + 91439263, + 802654194, + 663807112, + 203541530, + 788653192, + 920691951, + 110271210, + 495419496, + 414206711, + 469728833, + 276947197, + 363590632, + 902926807, + 204036779, + 316264410, + 961761373, + 665282294, + 263956003, + 747042645, + 613558244, + 723708381, + 543111765, + 350451526, + 277092971, + 933093340, + 206628597, + 765961159, + 531754018, + 679670183, + 894414218, + 214658020, + 781429161, + 324586529, + 30982263, + 464632855, + 37337237, + 707732187, + 571986934, + 463613958, + 550929066, + 147642583, + 879554088, + 64120354, + 169812065, + 436756204, + 554519762, + 919843496, + 214172941, + 827320015, + 263110272, + 46001680, + 958207461, + 317565710, + 136140038, + 518002376, + 566216856, + 885493377, + 277158913, + 726506286, + 604307224, + 177720503, + 575687020, + 298910839, + 569287344, + 6659238, + 774805585, + 621951162, + 746694866, + 661661024, + 282117922, + 261971274, + 512721575, + 712351480, + 214715443, + 207749189, + 14825152, + 593548783, + 2440577, + 672450624, + 602174900, + 411391093, + 385722512, + 481697722, + 964379736, + 380398585, + 62368687, + 238353061, + 807525634, + 882599823, + 461025285, + 121590738, + 696666474, + 775549810, + 366426458, + 773153210, + 105223235, + 580615927, + 850827911, + 289779820, + 180025989, + 701674271, + 973238422, + 217052557, + 344211654, + 788131078, + 456776969, + 120546208, + 4151142, + 470571732, + 839087374, + 807882719, + 954480260, + 18901838, + 326160095, + 570848513, + 346037180, + 188165046, + 693004402, + 470944888, + 312719166, + 346392315, + 135724206, + 951402425, + 475471072, + 971887670, + 350734566, + 942689093, + 483432758, + 586784451, + 220372237, + 205203689, + 846656621, + 908139981, + 133123166, + 52212397, + 626581154, + 597576475, + 227222877, + 992451347, + 267048668, + 326846905, + 106528960, + 913826137, + 932982784, + 612674828, + 811130890, + 825721575, + 786295998, + 661449169, + 22884355, + 376430100, + 481655693, + 972878561, + 601704476, + 529260878, + 820013367, + 178932192, + 992813835, + 421272263, + 266647573, + 909722184, + 717026967, + 929731457, + 261160402, + 801633749, + 546189833, + 890026846, + 473377365, + 721438873, + 817172228, + 45095059, + 401162276, + 388027540, + 424299236, + 781860075, + 539161282, + 452183980, + 259740568, + 134696461, + 412831179, + 449129845, + 575514717, + 19778899, + 94524438, + 151891497, + 233349780, + 774585770, + 425401148, + 412720002, + 137410542, + 656650694, + 321942738, + 540637815, + 310440399, + 953630048, + 97047545, + 23056736, + 981220384, + 419147698, + 820246722, + 697279542, + 654153199, + 2948593, + 105720717, + 819028158, + 805043311, + 692173736, + 559607950, + 557970884, + 541729264, + 693975971, + 667336919, + 787096475, + 751413012, + 160022918, + 597968589, + 399188786, + 59675475, + 644482128, + 330593832, + 613232154, + 767553588, + 779473924, + 434196055, + 346508558, + 220071324, + 522482702, + 321578510, + 356229910, + 291285156, + 970719365, + 340806269, + 666899715, + 594829758, + 698141445, + 890629856, + 986722628, + 487223836, + 970728538, + 568760606, + 787935348, + 380609891, + 99639588, + 971497787, + 50336317, + 375971610, + 65105556, + 945672928, + 345754444, + 867724635, + 718456868, + 20637232, + 81791460, + 889397552, + 300611358, + 478961809, + 558909547, + 125109835, + 642381054, + 418463176, + 11414284, + 146926438, + 97027493, + 381831349, + 97869899, + 716351583, + 50241917, + 565520004, + 850491753, + 162404019, + 462351549, + 209109719, + 765774246, + 275217973, + 762912002, + 857616643, + 540500148, + 441160088, + 198082320, + 730418806, + 817295308, + 530888892, + 865312105, + 753610033, + 563101356, + 448585127, + 628679502, + 153929301, + 371488309, + 869538930, + 747079502, + 257259766, + 780553392, + 635300141, + 67956686, + 359402, + 187913987, + 604170339, + 453050956, + 580602162, + 80638792, + 655549558, + 806759797, + 745612777, + 814636492, + 321772048, + 244988733, + 672940104, + 920525763, + 794186300, + 408789205, + 771783587, + 974857333, + 792249510, + 550508217, + 666160698, + 886747961, + 3052019, + 899479072, + 116686650, + 987652372, + 448096120, + 986821913, + 565774851, + 757501927, + 294125096, + 248167319, + 93058107, + 925534535, + 790477515, + 428242946, + 246772316, + 582703590, + 15189108, + 371976260, + 970108103, + 438054841, + 702919363, + 932439418, + 300158073, + 531474245, + 996048716, + 279843638, + 210112238, + 470247911, + 505258417, + 402057377, + 465933360, + 652274089, + 965146690, + 525777369, + 319366556, + 471748709, + 959957656, + 137608780, + 820266493, + 853381275, + 83310252, + 960272705, + 576772574, + 797456418, + 894181234, + 303395279, + 284895517, + 570331947, + 799404076, + 232324999, + 223812397, + 286473527, + 830930910, + 209117239, + 764237971, + 727706954, + 4386967, + 127291858, + 109711383, + 109924955, + 563625930, + 995564796, + 875396912, + 39840585, + 923549420, + 409728682, + 806411435, + 718349646, + 86210966, + 148318666, + 450281598, + 647253338, + 204766448, + 961602013, + 423192701, + 562655686, + 207441755, + 938137281, + 535311598, + 85336986, + 777315832, + 738803557, + 527397568, + 751456547, + 428321883, + 335566231, + 774245296, + 129250638, + 602359189, + 203904506, + 718493743, + 142657418, + 543246995, + 364411826, + 210704410, + 579320430, + 791632602, + 692883495, + 559988341, + 645602654, + 326481139, + 460620155, + 690334557, + 62216840, + 538594234, + 961593030, + 208806152, + 970506244, + 255593985, + 898700491, + 868387478, + 216374226, + 103286192, + 600232124, + 820955052, + 844462259, + 784392646, + 64845145, + 606769536, + 928900605, + 647121477, + 57346889, + 824827870, + 773209267, + 456016136, + 731629115, + 610813724, + 649232991, + 890595155, + 597258576, + 570158461, + 168774108, + 869373154, + 426529152, + 848174835, + 669149160, + 547790336, + 292621315, + 205098341, + 430705284, + 512758036, + 194914601, + 745912383, + 248026521, + 317964204, + 617419374, + 517012733, + 246608553, + 510698818, + 610601381, + 418773372, + 749741437, + 266384283, + 53032518, + 561777295, + 989902076, + 23517476, + 301394566, + 285724630, + 238079747, + 170984421, + 871806686, + 264255740, + 300589767, + 197690950, + 937876962, + 654369314, + 885345665, + 803158653, + 562977052, + 617996948, + 147861127, + 940969091, + 373576487, + 231362555, + 106285543, + 760058691, + 763185154, + 534664057, + 957017019, + 300806828, + 301672870, + 898235400, + 160351858, + 737978300, + 563277807, + 652960544, + 26446438, + 300526577, + 337019827, + 169692615, + 464451528, + 498383000, + 695524860, + 443622530, + 637379759, + 187131053, + 91567940, + 174487717, + 619723997, + 547364236, + 667077769, + 861990837, + 269656878, + 98239251, + 409722580, + 93214370, + 510934257, + 176253950, + 770498901, + 33225028, + 494995430, + 666720890, + 477902856, + 379434004, + 755291533, + 421866741, + 346000807, + 664928344, + 786808572, + 917262612, + 880619154, + 32426004, + 165926654, + 610190817, + 266970212, + 401056129, + 103510962, + 447074635, + 870941425, + 62380403, + 547593384, + 302302810, + 652824020, + 606093356, + 240644399, + 875381852, + 740291944, + 253559985, + 606696884, + 151000920, + 467331636, + 31202911, + 155490673, + 663817458, + 377999151, + 1202978, + 850331938, + 74869728, + 551883914, + 920830669, + 923465842, + 40369669, + 901524141, + 598161442, + 245959235, + 406343396, + 187197659, + 478358674, + 818902748, + 14852300, + 870811099, + 602230009, + 475779198, + 423563725, + 964897639, + 546031067, + 252973472, + 853767649, + 282542915, + 465365034, + 541808252, + 337768915, + 677603800, + 310052899, + 817647524, + 640306506, + 601043822, + 191099917, + 852178392, + 827656916, + 316167971, + 928140873, + 815408675, + 572884737, + 661924736, + 459582575, + 899910863, + 381092208, + 589274959, + 293344719, + 812818281, + 613019060, + 821756533, + 787049947, + 774637461, + 398814198, + 127042689, + 515828983, + 318358769, + 615692647, + 163869257, + 163550962, + 721228118, + 208394584, + 430286796, + 777236245, + 748942905, + 479460062, + 540690464, + 120804780, + 780179181, + 266690257, + 34139461, + 882208391, + 906235214, + 37405308, + 599460695, + 666325146, + 768034167, + 485328521, + 66390264, + 641800235, + 923682188, + 773137668, + 368686628, + 742021801, + 802984996, + 371801825, + 680713585, + 811156106, + 208512914, + 730599765, + 569167144, + 35826841, + 20867106, + 634456305, + 786126635, + 476224625, + 489368764, + 360028860, + 628356821, + 513652489, + 214137796, + 189169816, + 433563221, + 55664707, + 685140934, + 510181168, + 538881087, + 688304025, + 781897878, + 923653472, + 908505969, + 728665047, + 592314449, + 699571796, + 914973404, + 608448117, + 479035443, + 189275097, + 839779111, + 64107724, + 340321731, + 375684040, + 179509274, + 131653792, + 382961195, + 585427756, + 255333041, + 579264099, + 159186886, + 852471505, + 913225043, + 522740304, + 414512485, + 270370471, + 516225795, + 947450214, + 457352891, + 204656580, + 520979202, + 280686702, + 458579057, + 185004457, + 417961308, + 535247220, + 656761047, + 356469613, + 781365628, + 618954957, + 723560122, + 567864708, + 315320993, + 808384131, + 672059919, + 914014486, + 166343283, + 365547589, + 502332140, + 356451832, + 956440540, + 472717424, + 953039619, + 946227621, + 460497152, + 153948692, + 512257834, + 389153918, + 592328096, + 432058417, + 602045197, + 632412603, + 14158220, + 618262499, + 374105115, + 986008294, + 726378960, + 775017641, + 773324952, + 763671330, + 837984636, + 616220226, + 812066444, + 892565384, + 514584655, + 645593685, + 621139244, + 868949481, + 564036570, + 250634364, + 314848196, + 715833577, + 832753563, + 81680222, + 824483448, + 61700502, + 605080294, + 369801760, + 3248820, + 526763027, + 302852710, + 728346284, + 721885740, + 653341827, + 29103960, + 118931899, + 310095724, + 981698283, + 210061538, + 131112369, + 614365487, + 638235870, + 691653944, + 350125336, + 15930801, + 926625016, + 733354693, + 149756121, + 877962137, + 448971267, + 19573197, + 938463329, + 192515095, + 808654488, + 358853301, + 474154394, + 276651061, + 570640546, + 46343989, + 285044464, + 288713843, + 983609851, + 734622337, + 200242622, + 209942700, + 596271683, + 401003114, + 523245245, + 537724475, + 814400904, + 317495439, + 43697263, + 365150297, + 588583722, + 75927967, + 379301571, + 134304407, + 552445583, + 398283575, + 383323473, + 441254621, + 324484825, + 223886238, + 818448918, + 939767640, + 198537723, + 506977989, + 230098251, + 18905789, + 430886078, + 679913389, + 380003133, + 399880487, + 190080471, + 628244236, + 217154135, + 528452494, + 6890056, + 638650739, + 115873244, + 797582810, + 766259355, + 955978037, + 158401294, + 674409560, + 283585397, + 158906637, + 146403289, + 915214954, + 957550233, + 326039577, + 360452432, + 321011519, + 2271982, + 181069798, + 257118254, + 338415423, + 944673295, + 826690248, + 937723918, + 743923088, + 41214603, + 88741218, + 250634938, + 998224143, + 388044729, + 759997979, + 330837383, + 301063574, + 269271290, + 610465667, + 915317784, + 910633214, + 433324256, + 882489380, + 158966296, + 728343707, + 402396489, + 615795273, + 718875292, + 740201908, + 48813943, + 276853870, + 624174156, + 924197343, + 265269960, + 700665139, + 738142107, + 574460402, + 508448722, + 689801229, + 973148615, + 287106921, + 882765074, + 929925575, + 863635172, + 720956675, + 321585424, + 40249219, + 551874871, + 172904248, + 193861833, + 452709497, + 967624288, + 686710575, + 423694170, + 987596292, + 49530383, + 55706228, + 240817895, + 63003905, + 25602046, + 775352126, + 147425848, + 505025881, + 539470670, + 526853730, + 634113208, + 251251349, + 548832878, + 46972559, + 766851314, + 715350392, + 398730473, + 374668866, + 757554316, + 720067928, + 380650405, + 314335707, + 768607525, + 831733223, + 730404990, + 781085386, + 672882661, + 63771359, + 929777319, + 364258032, + 546303160, + 374900480, + 497716982, + 925827842, + 634815625, + 835725471, + 887638937, + 712103599, + 987654990, + 515774225, + 673572914, + 259503703, + 550813538, + 510465757, + 459574870, + 192608702, + 489027698, + 486418116, + 216345600, + 110869332, + 878077053, + 969185552, + 368650433, + 540658942, + 954034723, + 912064423, + 853439231, + 53774917, + 451903469, + 370749863, + 818317926, + 640556497, + 664659507, + 208616989, + 723908874, + 111773710, + 886305277, + 849163411, + 936529921, + 97583656, + 764433319, + 342485953, + 48696074, + 241572854, + 354350611, + 492572847, + 6078557, + 967198210, + 626354288, + 441017580, + 192944363, + 135566638, + 688471103, + 820551076, + 656445780, + 575978498, + 809356074, + 146981425, + 178592106, + 180997765, + 579889945, + 356524849, + 810104366, + 992376595, + 315395857, + 37531820, + 196983858, + 255551005, + 257767661, + 862669882, + 247940827, + 434180160, + 27240242, + 289516017, + 589001461, + 637223198, + 739789738, + 577989959, + 209849083, + 116895602, + 48804747, + 273596560, + 914641724, + 654110642, + 732540679, + 264392763, + 85173298, + 848622698, + 976334029, + 478496915, + 517058824, + 778912631, + 589708062, + 227467890, + 541348094, + 863039552, + 327126703, + 291819267, + 418851986, + 282129386, + 17023297, + 602317448, + 335848811, + 88596799, + 724180108, + 215200080, + 931972076, + 592828021, + 181409274, + 712827760, + 514842050, + 97446384, + 810799975, + 948801714, + 822021087, + 686286006, + 498486931, + 914707295, + 915983801, + 768745901, + 844711223, + 102219035, + 644702811, + 786199675, + 944473435, + 109979896, + 729930971, + 509152820, + 772332834, + 171056589, + 501838243, + 224958778, + 216415601, + 936713966, + 457316493, + 404302522, + 735425814, + 560349465, + 610136811, + 898307910, + 505826035, + 298770609, + 528903767, + 339650430, + 35783073, + 331528708, + 166249046, + 237332526, + 460600553, + 997754824, + 223074830, + 803106273, + 937338525, + 30113373, + 966190404, + 810980292, + 752102314, + 464505838, + 555464487, + 23556330, + 647539420, + 386012733, + 574372684, + 183585083, + 730136389, + 361647425, + 999253102, + 527034774, + 857676502, + 834266351, + 231932994, + 224105359, + 230657773, + 556421691, + 577209207, + 824039076, + 989821104, + 411704709, + 647836427, + 114715376, + 840987758, + 951042577, + 4936769, + 331904490, + 21480228, + 311113193, + 279590938, + 423408622, + 841866910, + 679459443, + 46368475, + 176618601, + 377373695, + 533830484, + 218221434, + 228695031, + 560027837, + 319567975, + 216302020, + 869388586, + 578944768, + 744960178, + 924153841, + 40357448, + 260764232, + 710845380, + 418809155, + 846798879, + 287325867, + 564900335, + 713704625, + 376532438, + 63818582, + 979370712, + 397798810, + 5980722, + 919992843, + 763963761, + 936539272, + 901980033, + 942859306, + 796338703, + 886994369, + 162666103, + 492386887, + 675311826, + 246432248, + 653307709, + 272302021, + 499504893, + 912510703, + 627343985, + 168143899, + 422731860, + 314748579, + 341873090, + 99848483, + 669244702, + 506922670, + 420125015, + 51756244, + 994679178, + 735212569, + 275946462, + 24281534, + 643750813, + 266049893, + 280883705, + 724129118, + 835280522, + 320330683, + 321563824, + 515265244, + 694192290, + 451974424, + 507323235, + 502305595, + 290029369, + 828753335, + 230421213, + 211829755, + 145230, + 345855048, + 18382634, + 744155929, + 121622810, + 560747409, + 190422595, + 894866428, + 251454281, + 423491752, + 588007420, + 198007123, + 174124940, + 499390280, + 656023163, + 409183636, + 507546586, + 512257090, + 404463066, + 113618359, + 94905315, + 339141806, + 608432500, + 626714441, + 476970393, + 511674116, + 97125866, + 387824398, + 189786602, + 191286372, + 762191151, + 219495580, + 128366919, + 466504380, + 862290760, + 166113136, + 78169848, + 137764192, + 826901875, + 500398471, + 84715519, + 551185848, + 849249217, + 377059285, + 186989719, + 837151743, + 679352061, + 605199527, + 952699587, + 161141844, + 292341651, + 347312277, + 434131217, + 716140098, + 249965201, + 834765696, + 957953630, + 40000941, + 618083245, + 176434616, + 493673847, + 421771501, + 371525732, + 152188433, + 698130054, + 736373520, + 469294158, + 308086282, + 245728474, + 729111515, + 709441900, + 840624333, + 371204511, + 864938880, + 167749467, + 790620678, + 657140258, + 882137117, + 710949470, + 634445306, + 307676433, + 885983139, + 769168263, + 250899457, + 130777882, + 141792860, + 846443585, + 57941922, + 138209788, + 896460309, + 280301418, + 755777096, + 280008293, + 577225435, + 7517119, + 990452384, + 539995974, + 526523154, + 347023029, + 591387882, + 987375812, + 605372585, + 827613542, + 537214042, + 75839524, + 321669707, + 205470136, + 863383153, + 271152564, + 654641744, + 571280878, + 854367446, + 26191740, + 906849096, + 812590967, + 638784816, + 124691245, + 571928180, + 833693661, + 375629400, + 714314342, + 768527695, + 762263362, + 377094552, + 120351782, + 843356478, + 145717040, + 190842080, + 832296543, + 59218614, + 566849679, + 162811751, + 212656248, + 135290567, + 657141256, + 111623422, + 115292825, + 306910284, + 42750062, + 2294236, + 985985068, + 823244797, + 539110827, + 421262627, + 341980682, + 883953931, + 314791370, + 462522898, + 708186504, + 602648918, + 175179731, + 159400643, + 77356647, + 933858466, + 859478758, + 687507916, + 37253674, + 294447218, + 418081771, + 872335120, + 351290082, + 952587157, + 29544332, + 851041854, + 392605690, + 818210406, + 347446231, + 662851004, + 24145563, + 697555899, + 508510248, + 987849630, + 878363576, + 430377317, + 949015413, + 952004125, + 152163511, + 967221117, + 835628271, + 835728424, + 556102126, + 257938836, + 421221023, + 186472036, + 287195340, + 11031171, + 181017789, + 490854205, + 885244784, + 477732491, + 658181975, + 300188279, + 273971313, + 960704055, + 17048340, + 322591827, + 242894356, + 823337876, + 603343602, + 933065926, + 880936497, + 984954628, + 404415165, + 961011953, + 892387539, + 662143602, + 82465011, + 653479000, + 702141920, + 866148049, + 924447282, + 849975296, + 387917521, + 652829049, + 683691166, + 511694704, + 953716473, + 314941498, + 559914515, + 468345218, + 484602363, + 58531181, + 307704500, + 314581623, + 328153407, + 867575999, + 194936018, + 458687093, + 801076364, + 495330258, + 632580119, + 976583389, + 342176143, + 80249886, + 535040574, + 862714958, + 221975520, + 780449618, + 556275456, + 696437389, + 874871775, + 418254240, + 690569201, + 961902370, + 427605618, + 690276721, + 902685144, + 660158019, + 984417301, + 489074124, + 537903403, + 357399153, + 554302351, + 426132482, + 986872514, + 245327955, + 615067387, + 636373169, + 480828608, + 989129537, + 642995815, + 198596650, + 724647031, + 244765912, + 589959226, + 543462367, + 469758901, + 154753991, + 396622178, + 143256623, + 291482039, + 817727147, + 3883586, + 258535221, + 47502251, + 203053484, + 366918046, + 929597054, + 52758824, + 805739561, + 257902284, + 276663370, + 959221961, + 579739676, + 875186569, + 730292922, + 845638373, + 39687089, + 553260390, + 32535734, + 172826370, + 634193348, + 558251883, + 545262252, + 652085917, + 128145314, + 707848583, + 683068316, + 350846508, + 73405587, + 90595986, + 56982108, + 833244158, + 299625395, + 424705524, + 365045255, + 678313349, + 833265268, + 70169099, + 28546599, + 937570140, + 240748795, + 868028244, + 843984050, + 261344791, + 788613100, + 253719026, + 910562123, + 136973095, + 329320948, + 925494989, + 779421653, + 943617937, + 426114188, + 780488726, + 174793236, + 353858311, + 315258846, + 47681715, + 126074241, + 124162051, + 165312452, + 555541963, + 427197970, + 889100463, + 398592856, + 435029457, + 980142208, + 793094280, + 873611745, + 534796884, + 409874375, + 665869714, + 778975291, + 15528443, + 561370695, + 349165833, + 683397191, + 618637591, + 412619063, + 149807217, + 476304807, + 33520691, + 536105909, + 566393069, + 395875512, + 869054700, + 159711318, + 612301493, + 642471286, + 456373054, + 839172252, + 858558374, + 336204422, + 864685751, + 199573819, + 655842029, + 676659119, + 492855996, + 735886024, + 329764554, + 339019756, + 130321880, + 937405064, + 372629162, + 931806245, + 129699836, + 993921352, + 77840251, + 436367102, + 885554544, + 227107447, + 612672540, + 356698114, + 814098391, + 544970994, + 955806053, + 821402835, + 920406057, + 488499233, + 704688636, + 175530048, + 834014009, + 534997173, + 779044760, + 112657841, + 667439958, + 371291041, + 963884032, + 893918289, + 117387609, + 130764825, + 21708697, + 794431324, + 177030862, + 617195862, + 250776985, + 904626163, + 825998380, + 52943670, + 401240976, + 115409684, + 714572197, + 143630282, + 377354458, + 404839938, + 457109052, + 624974094, + 671831731, + 617462901, + 10604849, + 776572485, + 89516745, + 74293073, + 281087007, + 459477933, + 676013262, + 840165776, + 806153620, + 719700577, + 840450742, + 902058025, + 800439150, + 289190466, + 89998853, + 681053496, + 719407377, + 98554564, + 553992365, + 747374569, + 377789815, + 556233103, + 938442849, + 287949838, + 892748688, + 795399657, + 779603223, + 179153493, + 748599429, + 791802503, + 393764153, + 981291959, + 841022311, + 856013625, + 181716128, + 802648115, + 398820034, + 750486446, + 875448556, + 636662647, + 335737961, + 118767047, + 189748706, + 12298860, + 812059362, + 233064527, + 403413819, + 337898461, + 646893973, + 945840372, + 85856341, + 289550623, + 855445134, + 293481819, + 926661040, + 783624586, + 669737870, + 811100921, + 895138898, + 221521220, + 21105195, + 897593500, + 140111528, + 851828413, + 432696519, + 526677611, + 982958525, + 323677930, + 679746345, + 245335250, + 831716772, + 314849655, + 770539631, + 129837136, + 310037644, + 334963148, + 47583262, + 286562790, + 723126761, + 51422184, + 531846349, + 944541647, + 368222753, + 670360822, + 275202717, + 109172990, + 377871173, + 433066820, + 787953496, + 874010044, + 526915618, + 29439658, + 47354278, + 92186370, + 722560253, + 205305795, + 645401961, + 256052171, + 627093163, + 954423447, + 676159445, + 129683385, + 696822628, + 222905759, + 687746383, + 197658738, + 961308477, + 507262524, + 756156474, + 371246817, + 253041316, + 940499370, + 570288010, + 56421608, + 616660579, + 302185342, + 770265643, + 875760857, + 246179134, + 837507022, + 793148263, + 355122724, + 579406104, + 772009096, + 755884476, + 215812498, + 202760604, + 125939614, + 639466991, + 252638214, + 808966455, + 784014732, + 698380397, + 571069341, + 977425208, + 33051139, + 404994290, + 935724726, + 261316030, + 875148697, + 839205319, + 742750397, + 447397739, + 156259168, + 249805310, + 215223673, + 706360604, + 285160064, + 491149964, + 713854132, + 937093998, + 709643196, + 547818809, + 303866769, + 943011578, + 538596151, + 660605911, + 521771604, + 503542987, + 791743884, + 682370551, + 612165726, + 303368810, + 882225342, + 475927449, + 622250219, + 845778530, + 700640048, + 528841406, + 830418693, + 675135780, + 535671387, + 129006361, + 116351356, + 564544035, + 932097809, + 669583433, + 754952510, + 361367724, + 186601698, + 413880241, + 826474121, + 276203797, + 918128869, + 249712507, + 63965657, + 807484413, + 719311328, + 981785380, + 608178879, + 755579893, + 445365947, + 51343312, + 159345941, + 226681689, + 125809993, + 529408891, + 167316873, + 238728057, + 903533930, + 403849818, + 372525681, + 580311482, + 799561418, + 693240986, + 797446820, + 938963616, + 430272884, + 404297008, + 471710039, + 347465475, + 657045828, + 367931393, + 632925403, + 795576940, + 928588820, + 75909946, + 724561553, + 52912442, + 762659618, + 323284092, + 785401801, + 87010651, + 530118229, + 253743588, + 818093099, + 277494613, + 14108788, + 344283264, + 592400270, + 309222475, + 199468786, + 897284452, + 4318153, + 643881543, + 121059906, + 332377461, + 557895463, + 974114508, + 154223342, + 748269438, + 460282083, + 872387065, + 970501921, + 455940713, + 4883938, + 249470239, + 659629555, + 959348774, + 747039175, + 563019267, + 928950515, + 968926837, + 806791734, + 734394098, + 531686756, + 657386253, + 719818870, + 16581471, + 38481585, + 874782848, + 195876195, + 995052808, + 972015240, + 459603210, + 536004440, + 255601172, + 165700720, + 623222004, + 901890848, + 380717359, + 206763149, + 96354281, + 991325895, + 259922751, + 901747563, + 739158418, + 349254107, + 101764917, + 537543240, + 432147591, + 822930523, + 441286442, + 90873668, + 544948702, + 813652621, + 545276857, + 499305218, + 666432523, + 124875155, + 357416938, + 549619336, + 608176945, + 986363991, + 623140142, + 696796896, + 443288967, + 885071637, + 863712155, + 926714085, + 849047961, + 114119616, + 593017223, + 682376496, + 387139719, + 398853231, + 800901894, + 131951818, + 409699499, + 969705763, + 810354986, + 434544928, + 861360383, + 939798518, + 657021489, + 285539121, + 63310474, + 138291423, + 376469932, + 128701490, + 620985969, + 412312368, + 560981731, + 979640361, + 695013802, + 443463364, + 901172140, + 155808342, + 594685398, + 569805699, + 737909985, + 179654197, + 930024273, + 227768532, + 402500583, + 787928336, + 457495034, + 30445372, + 738772156, + 690115520, + 475850775, + 148784300, + 284991895, + 700305509, + 814596833, + 147289365, + 448538638, + 327574096, + 530374261, + 688208712, + 94299390, + 986169391, + 395287674, + 350308057, + 938414427, + 947032501, + 904127128, + 142303010, + 876574404, + 172162837, + 396753057, + 886781005, + 767697791, + 816666407, + 952096822, + 824011386, + 266662343, + 698711748, + 314951894, + 883745992, + 944218935, + 25578206, + 808587035, + 797414170, + 431844708, + 624650999, + 113935436, + 488677946, + 798388216, + 881513976, + 33348892, + 155329647, + 532899391, + 986755456, + 909854243, + 450511590, + 131088400, + 922982041, + 617460689, + 73493607, + 794872935, + 985163536, + 637531591, + 780726120, + 957304953, + 56596736, + 149541747, + 915816336, + 272034283, + 306702096, + 633924846, + 97520842, + 633645848, + 345495241, + 509722346, + 797111981, + 187579867, + 30311861, + 249391733, + 383945935, + 532180125, + 212543406, + 982261028, + 384820052, + 538956335, + 411375851, + 585975334, + 725815894, + 389785224, + 818069680, + 925349379, + 888492522, + 756418002, + 659524643, + 309515938, + 391644579, + 785988076, + 267471504, + 221771908, + 74249329, + 942943888, + 554790450, + 697380679, + 780815205, + 872672110, + 893534022, + 817906467, + 128555416, + 375217041, + 844021679, + 151957268, + 844953700, + 37284326, + 568418666, + 333253781, + 385086758, + 503943299, + 296898349, + 732772615, + 773138144, + 743711733, + 313044789, + 628413434, + 403714264, + 25258278, + 96180037, + 948500042, + 48180561, + 57278286, + 17550169, + 118171405, + 124622023, + 393685638, + 132855323, + 603631068, + 30882764, + 345525286, + 529622693, + 850125481, + 52373887, + 723467927, + 175565120, + 217879031, + 634403661, + 219530523, + 725241749, + 927004793, + 86381794, + 710673175, + 588965460, + 493708448, + 270951827, + 199828457, + 173859784, + 383374200, + 14949171, + 262133267, + 319712133, + 512756161, + 799533049, + 792656612, + 744629523, + 598129383, + 978409470, + 79978090, + 487803020, + 256415570, + 220996727, + 651000591, + 736723553, + 293905856, + 134582332, + 514809140, + 245082604, + 520762209, + 688667446, + 654363382, + 670443926, + 152663614, + 12143697, + 169550936, + 242682785, + 726971880, + 949007795, + 321983699, + 609275753, + 532221004, + 796849476, + 194319362, + 807136924, + 331654262, + 81118988, + 541249737, + 797000145, + 90269248, + 57974030, + 971027708, + 363948313, + 321951285, + 98447824, + 890541482, + 57376644, + 948911091, + 60395872, + 797011125, + 720766111, + 630837950, + 684267868, + 383272506, + 881844627, + 225902940, + 304728763, + 270003366, + 759099802, + 909650514, + 651531263, + 637998611, + 46395745, + 699626645, + 563837498, + 922956598, + 497607921, + 694551987, + 775075701, + 599647185, + 993049749, + 819869464, + 111916957, + 272994423, + 771450886, + 282625080, + 1844160, + 983240240, + 768667359, + 594068647, + 920385390, + 292498853, + 430641416, + 153190129, + 607688018, + 545659842, + 918419340, + 78872170, + 562207603, + 221928898, + 175694794, + 35221763, + 832378290, + 743012442, + 254708658, + 561520157, + 784175061, + 135877408, + 577360246, + 45548928, + 146203251, + 777302439, + 777590903, + 597408559, + 5808299, + 291428080, + 470328569, + 740917277, + 5813290, + 25483074, + 988119521, + 399999091, + 842554744, + 683125763, + 294502590, + 133558598, + 204198482, + 47274319, + 381307350, + 967227291, + 383781115, + 954143772, + 738188106, + 189724190, + 371148298, + 508323686, + 497628968, + 613657328, + 335369, + 259825484, + 625661965, + 197051704, + 945198159, + 975636477, + 845871311, + 806859031, + 691006044, + 692313531, + 473254503, + 331545100, + 885566736, + 304971663, + 608798850, + 73444100, + 480384294, + 440129935, + 696562715, + 605210091, + 589954352, + 641351647, + 560948388, + 535290689, + 255020748, + 297035677, + 341042875, + 507863140, + 741559331, + 418515544, + 593797437, + 684099055, + 321987751, + 938909530, + 185743481, + 663965229, + 949155788, + 635732839, + 127127553, + 64901778, + 657351176, + 562071328, + 239419013, + 161096614, + 568651631, + 356166563, + 617014448, + 551074318, + 379798241, + 863084500, + 852726073, + 264609455, + 837533405, + 270922513, + 161139003, + 415319590, + 783802321, + 5031626, + 187797688, + 912876756, + 834126125, + 227591582, + 895036031, + 594543098, + 699425561, + 112237392, + 115423458, + 463468419, + 199807987, + 453925180, + 411479709, + 630774468, + 147418341, + 564921944, + 327580089, + 838727724, + 623147126, + 64283724, + 552167407, + 955315702, + 345880972, + 853057470, + 901417888, + 898764577, + 159533645, + 155839837, + 779452974, + 154676214, + 163629488, + 687059497, + 117684109, + 898752257, + 68201281, + 576694061, + 73824106, + 472676746, + 621621661, + 643024991, + 82952798, + 945426126, + 807200946, + 898325330, + 608513135, + 387536225, + 961524747, + 931072157, + 168329531, + 127549199, + 955409454, + 438135920, + 302956484, + 530224469, + 700465027, + 337889365, + 57528050, + 107990398, + 24851639, + 975780555, + 52044980, + 791872661, + 300832026, + 13961281, + 238593903, + 457368937, + 946150924, + 765007149, + 591623430, + 54257711, + 959097473, + 477166966, + 105719150, + 830847284, + 61129702, + 468261053, + 356617173, + 545867930, + 237548324, + 358957789, + 165847298, + 554463439, + 67339985, + 326605948, + 310878106, + 354136293, + 652938266, + 39430769, + 957531331, + 876791387, + 374492804, + 303291768, + 636933481, + 391155960, + 143536163, + 359908146, + 719769170, + 57954034, + 279898607, + 23186821, + 919183666, + 422824912, + 988281560, + 617787460, + 531409881, + 605819266, + 157658047, + 516296115, + 900036877, + 214424214, + 215001816, + 903419896, + 735777265, + 20116211, + 443466078, + 551441330, + 269243624, + 363421320, + 347738214, + 500886858, + 942689776, + 653757008, + 226114809, + 288665264, + 270898884, + 91076081, + 974058663, + 318080126, + 39148750, + 702590044, + 18271284, + 772660288, + 811871642, + 122104023, + 871282274, + 863838473, + 754909875, + 26604588, + 686987730, + 800474474, + 41632799, + 734792299, + 201645319, + 881219996, + 722145061, + 397917035, + 544430716, + 46451589, + 162702682, + 865036641, + 641920296, + 513418293, + 272360851, + 281949859, + 230752185, + 244462359, + 23910658, + 587619188, + 247966823, + 185058615, + 725565460, + 105445817, + 641606032, + 152985089, + 430053420, + 431716837, + 660378549, + 238621109, + 144036116, + 2763406, + 329712241, + 448990125, + 332080412, + 395437898, + 739313235, + 858196579, + 653319733, + 559526906, + 450303153, + 164540720, + 251470117, + 848938246, + 972469408, + 46845627, + 547847220, + 122105797, + 453812549, + 600614712, + 624634724, + 801039743, + 818870551, + 518077461, + 865331466, + 52202498, + 982626501, + 219346246, + 916053394, + 922015923, + 950283847, + 648595899, + 203138212, + 747271317, + 196261511, + 568601775, + 867723329, + 452823989, + 865963472, + 574552719, + 624727075, + 761809469, + 189976222, + 215563742, + 821692245, + 285711105, + 462449508, + 272846969, + 784213862, + 984702658, + 962141547, + 478121604, + 639336968, + 576303175, + 871332914, + 911692593, + 119570973, + 507780723, + 979910, + 928335810, + 583636547, + 653251198, + 390764441, + 132752887, + 668467838, + 110577121, + 500346193, + 294325352, + 333456673, + 288092323, + 632704131, + 653116005, + 290056527, + 481014820, + 909070554, + 353682881, + 84258068, + 145040857, + 550409923, + 720743163, + 852583462, + 147474883, + 415048866, + 299893618, + 578321124, + 736006706, + 161639700, + 246539906, + 120900127, + 218002362, + 116726740, + 206232581, + 110308541, + 621431093, + 363112009, + 646426347, + 327812963, + 775691707, + 11103800, + 249210508, + 859435729, + 146407873, + 742921762, + 291492161, + 604565191, + 790252019, + 380145475, + 346246062, + 964920775, + 573733868, + 381661464, + 937972550, + 234758129, + 459869106, + 574245783, + 453321809, + 151623251, + 188900736, + 877503674, + 352161345, + 800427145, + 515261340, + 893733917, + 816330322, + 873567103, + 701347479, + 718731992, + 726585167, + 835506805, + 24171716, + 270839827, + 854692971, + 15053694, + 50562527, + 190369663, + 957933526, + 2260856, + 347938083, + 938859724, + 295229014, + 662250032, + 105040779, + 144061828, + 290661728, + 421125532, + 245471765, + 969449993, + 534979395, + 134123483, + 277928042, + 160012422, + 467229706, + 365154168, + 900745279, + 761445681, + 694015625, + 751415399, + 162319836, + 121470544, + 688454105, + 465225369, + 556053773, + 535143717, + 697512536, + 589107584, + 310187072, + 369220290, + 174697364, + 316053840, + 506729916, + 102129504, + 869487368, + 72220267, + 126076244, + 58569425, + 664938980, + 600369445, + 359193028, + 745483056, + 537145430, + 733880936, + 974136392, + 799629552, + 327759651, + 31533900, + 163492163, + 670798020, + 19142414, + 252768144, + 396025496, + 536390572, + 502045470, + 362713349, + 769684954, + 631975774, + 74719376, + 155969892, + 420327444, + 498944560, + 847609650, + 842962293, + 748829874, + 912181008, + 769253409, + 912686006, + 271288175, + 35284088, + 26614605, + 184879637, + 882881217, + 314345145, + 657296674, + 185128259, + 62724637, + 530287, + 700083884, + 167937427, + 90195875, + 763434383, + 446273080, + 722671352, + 851296481, + 714583399, + 732238412, + 613358615, + 771648302, + 147599212, + 62679099, + 366831185, + 692618135, + 549428853, + 397480992, + 536423402, + 826536392, + 700017638, + 428694186, + 357028478, + 652809557, + 654217526, + 254884790, + 318442124, + 890435470, + 620730038, + 339644998, + 231641041, + 972074470, + 736930560, + 513834649, + 705171386, + 827688757, + 361500053, + 820305147, + 770723031, + 780955, + 697477635, + 66676887, + 224635772, + 250413350, + 883597045, + 370034031, + 78845437, + 117485005, + 650523452, + 707261234, + 53071220, + 542665826, + 492239443, + 844620403, + 151062914, + 530429828, + 570866386, + 889836986, + 852513028, + 877124812, + 491004399, + 360965082, + 437373410, + 407506986, + 159525689, + 780031148, + 85733013, + 924200688, + 381492392, + 101537629, + 21736723, + 413545682, + 626610953, + 288859424, + 636257262, + 244911088, + 327930743, + 552600575, + 450916319, + 292172862, + 111568563, + 328054286, + 621325332, + 110885019, + 713733385, + 139232734, + 217877043, + 691880311, + 906286969, + 462398705, + 199077325, + 198514309, + 575894576, + 413180450, + 692508570, + 738364271, + 19584346, + 859648493, + 429149089, + 708483768, + 289673097, + 665730767, + 206618689, + 764712994, + 819544936, + 530208807, + 701819098, + 938986220, + 578808324, + 854730420, + 471272344, + 348422816, + 907648145, + 457531000, + 555652466, + 954595763, + 552878318, + 641939828, + 391432533, + 302965386, + 606427723, + 245959535, + 854776446, + 788701819, + 200151338, + 77012033, + 605046571, + 712554824, + 368364350, + 714978723, + 896783878, + 867627063, + 8584548, + 258852571, + 967373145, + 91327816, + 432539367, + 563891573, + 794229538, + 138277336, + 711652997, + 380973487, + 149986082, + 288711081, + 845067409, + 171807646, + 769080387, + 555352149, + 265756569, + 100840055, + 804676883, + 690084897, + 779403310, + 82961748, + 781473762, + 489370710, + 939174123, + 765328324, + 152310374, + 100299706, + 870232567, + 963542919, + 130338559, + 740553948, + 791902866, + 587333292, + 508825600, + 594171935, + 982354004, + 882159737, + 284315533, + 179151131, + 369033959, + 449272510, + 767741449, + 673505889, + 989385120, + 337920991, + 15660234, + 396752821, + 148349578, + 285974198, + 317382005, + 133240701, + 698978192, + 728816717, + 171294009, + 690312637, + 483218852, + 662050539, + 769840835, + 344456009, + 972578508, + 338653518, + 805311140, + 814893340, + 796675584, + 656771686, + 170934305, + 272496550, + 304907609, + 975401230, + 954460639, + 297144908, + 423193541, + 110509106, + 707395592, + 914470342, + 969054254, + 184935120, + 748703052, + 541619675, + 427154610, + 951600460, + 641311944, + 877195214, + 530502804, + 722380253, + 957116176, + 718728225, + 44103054, + 639157331, + 742888930, + 223081513, + 284640294, + 524793185, + 72122501, + 59484958, + 330509048, + 62111782, + 557933650, + 144145139, + 720065138, + 692078360, + 597132724, + 30693001, + 749013776, + 390240974, + 74647718, + 830626889, + 259622477, + 161304771, + 946712287, + 759525765, + 854279957, + 117541280, + 121996987, + 51392376, + 906696946, + 898860936, + 255715231, + 341027263, + 194181884, + 509388182, + 878712007, + 755369175, + 17430653, + 965240750, + 778299497, + 977158150, + 642631349, + 365891664, + 835644530, + 500899206, + 823999743, + 524359889, + 782318744, + 622172946, + 95302439, + 276123578, + 213949625, + 463128181, + 763366080, + 675644857, + 49118259, + 181707296, + 173682493, + 472296127, + 943706741, + 29747313, + 558205571, + 807792471, + 982469523, + 888895550, + 280095919, + 144414826, + 740024061, + 631268064, + 31842639, + 999662811, + 904213138, + 645597386, + 735455498, + 209235993, + 523365218, + 417389799, + 941544742, + 252333819, + 185641133, + 938751612, + 48138381, + 849423651, + 615717270, + 2528872, + 606351833, + 785380885, + 304178513, + 662371401, + 480196532, + 563714740, + 739705873, + 943301552, + 602357327, + 878528257, + 762921713, + 17708275, + 243739161, + 171636480, + 999300979, + 447987337, + 238991707, + 10539946, + 562478844, + 366022264, + 687376929, + 884552468, + 754708236, + 912344342, + 631222881, + 516431503, + 45942841, + 80177411, + 730335104, + 310585447, + 492159536, + 516981549, + 717136469, + 156586399, + 279035673, + 783180725, + 299713497, + 239655709, + 14786469, + 893392982, + 609532634, + 737883707, + 263941297, + 154174705, + 747787579, + 849656058, + 881531169, + 523800979, + 97740276, + 283304360, + 159585456, + 603217453, + 84257009, + 300264051, + 272475898, + 367033472, + 890265714, + 549288198, + 772885318, + 416489615, + 982567727, + 633876378, + 468248495, + 216975175, + 136262387, + 368690762, + 493878769, + 837756443, + 668695019, + 416105972, + 697430960, + 960926588, + 535652424, + 829384200, + 444816866, + 841672778, + 920953051, + 738844667, + 28595855, + 737823458, + 523246641, + 157547106, + 401625148, + 107879701, + 296899301, + 305812732, + 803464919, + 83104665, + 726143838, + 249524492, + 98356338, + 518017985, + 480597985, + 83982020, + 740865235, + 34082604, + 188508559, + 940331458, + 347856047, + 597322723, + 871172084, + 186111641, + 57461295, + 985992109, + 649054792, + 987894440, + 121307412, + 584984779, + 282109077, + 50331366, + 814639378, + 607417699, + 797430778, + 1058819, + 843180137, + 664040153, + 221862435, + 968683063, + 225633120, + 210548545, + 166157141, + 353764242, + 892969953, + 676725262, + 245653305, + 213287393, + 120066203, + 941592634, + 715938171, + 639963546, + 721581934, + 575728008, + 557068999, + 623995712, + 963809622, + 316467968, + 417254522, + 42278312, + 429658844, + 510840518, + 173329206, + 169456487, + 804795272, + 832127929, + 65810408, + 856518700, + 507775275, + 861007118, + 409048664, + 819567372, + 160505175, + 374763342, + 923211881, + 680275763, + 297273889, + 683410323, + 349001992, + 638717036, + 75153625, + 602548323, + 14741048, + 30582010, + 579131825, + 957811148, + 614562951, + 861682289, + 660431911, + 177982955, + 652015059, + 778192330, + 641476241, + 230878512, + 980570989, + 823149, + 185753908, + 757891053, + 201645271, + 136045480, + 894766834, + 927187040, + 229459753, + 287199854, + 215824438, + 458400491, + 177298367, + 64705957, + 187260203, + 730575853, + 475026459, + 910487868, + 865755568, + 430234683, + 640178423, + 249273473, + 810452768, + 930179087, + 644627278, + 378830354, + 193259653, + 243772523, + 583534284, + 787210757, + 445383178, + 25685025, + 481432463, + 345962351, + 9190545, + 240614507, + 979847697, + 928153083, + 27359590, + 488477314, + 322489045, + 68587082, + 190285529, + 206060136, + 25183306, + 311648274, + 451628438, + 854554284, + 774038386, + 688570847, + 440233028, + 354666620, + 874809860, + 56961400, + 79834666, + 246831228, + 594134244, + 413411021, + 251102180, + 703418987, + 408391475, + 123011697, + 283637015, + 657947859, + 600746510, + 416678228, + 107822035, + 279018423, + 954550049, + 482560537, + 75811712, + 147565199, + 460859713, + 708982326, + 288755090, + 341282562, + 929467208, + 805445805, + 970670161, + 434457307, + 765368298, + 796151554, + 534155176, + 293076276, + 875800008, + 497764664, + 928827517, + 221354076, + 302483171, + 724851675, + 975172556, + 447527932, + 510158851, + 557024194, + 947725099, + 498429246, + 583050761, + 214366268, + 214773247, + 747090352, + 974290543, + 374419351, + 859927140, + 24045668, + 780352394, + 173057938, + 10498764, + 152777800, + 7844111, + 43085717, + 739526774, + 666132624, + 702673658, + 957430420, + 181894542, + 537498439, + 590260381, + 857552061, + 84064351, + 225981968, + 20217064, + 62594820, + 763813892, + 991616215, + 469784560, + 327880345, + 466834111, + 868702891, + 827822198, + 813673464, + 196020146, + 333671578, + 374290142, + 246983095, + 912150970, + 484232596, + 814708586, + 631381914, + 781286449, + 381380822, + 387700786, + 304635540, + 81043707, + 232831261, + 246190564, + 600322547, + 833441179, + 513675274, + 50890338, + 254793680, + 286115509, + 219306535, + 627854703, + 480785920, + 527597728, + 489848799, + 196049659, + 712649370, + 994301970, + 227708729, + 70015627, + 669296040, + 707749805, + 680209734, + 247597089, + 485871854, + 566226000, + 558326192, + 263399944, + 133187913, + 735589778, + 836873548, + 995883365, + 228415791, + 672218552, + 36855774, + 252964051, + 970863793, + 303097268, + 394947798, + 799487543, + 357409701, + 214958741, + 40161183, + 915628194, + 74766847, + 115871839, + 605784334, + 360649669, + 214610502, + 878840343, + 938036402, + 996776324, + 985214436, + 447274438, + 849828214, + 646850957, + 815054348, + 913412805, + 734587898, + 310066171, + 887590613, + 64486114, + 587892022, + 617564425, + 339872591, + 962776779, + 541882791, + 7811216, + 303985327, + 720473073, + 872536419, + 333160468, + 526186826, + 154405307, + 220450032, + 810843246, + 769622606, + 662053066, + 936535133, + 501101019, + 716658374, + 124407954, + 489799089, + 688810166, + 475762460, + 984056555, + 232724666, + 513104465, + 566918310, + 216886041, + 784121606, + 263337931, + 563401748, + 88057169, + 783152413, + 136278278, + 60545538, + 279493384, + 67848431, + 628970480, + 80422784, + 668673172, + 952570847, + 329147601, + 608371001, + 40171099, + 101263523, + 949414005, + 838882185, + 573464640, + 913954502, + 264477261, + 651042643, + 851338352, + 989423919, + 517178592, + 750296087, + 101168766, + 841545322, + 262593476, + 503877813, + 25113448, + 970990514, + 520236493, + 93167908, + 550763532, + 339145020, + 409635705, + 726997377, + 598051813, + 351795997, + 145333015, + 550859864, + 205128740, + 797633888, + 706853469, + 703272855, + 877115521, + 700797112, + 274758313, + 449058010, + 575893836, + 282656675, + 975334060, + 320941533, + 511194773, + 894534591, + 445828646, + 713249419, + 414650708, + 559143706, + 998160648, + 327322320, + 806413689, + 550021368, + 858849018, + 598738894, + 639054255, + 895513264, + 471099497, + 89951434, + 374670405, + 774905755, + 185379680, + 367065075, + 253648061, + 748429239, + 196120237, + 32590725, + 384558039, + 440545357, + 580940746, + 630614721, + 244927136, + 413376052, + 595665197, + 320682122, + 245164188, + 215172560, + 713320797, + 172185151, + 303743554, + 416890457, + 308504989, + 31308922, + 964610082, + 894582476, + 538240752, + 504596225, + 544380627, + 753245640, + 679285428, + 192841047, + 328319048, + 471300935, + 580269789, + 582618550, + 614477795, + 562457858, + 474694021, + 592270769, + 561298353, + 732723875, + 928485139, + 686808874, + 472763824, + 889369834, + 68246615, + 783504164, + 544001540, + 999121700, + 611668958, + 980407129, + 696912049, + 692426293, + 727029910, + 620292887, + 395534924, + 202280495, + 777199456, + 875582463, + 284103922, + 187076981, + 847749567, + 903065302, + 741389899, + 675971289, + 140499299, + 178811635, + 27263421, + 800867847, + 395145116, + 66798157, + 388091650, + 901694029, + 747090245, + 884788794, + 256490631, + 587074545, + 841331675, + 611261404, + 974902841, + 332553842, + 304821864, + 407193435, + 92485845, + 877929591, + 21312148, + 112591880, + 968892212, + 534385952, + 149530684, + 580956619, + 155772074, + 40955697, + 293393657, + 904948797, + 902807352, + 199939913, + 286839295, + 140609466, + 277521932, + 648955807, + 164383622, + 175273617, + 899213625, + 442115655, + 981699674, + 786997128, + 901452715, + 163949297, + 114201349, + 243084218, + 661245076, + 365255861, + 521650014, + 389861975, + 747134740, + 907567432, + 274264618, + 506168907, + 205894289, + 676111593, + 951680724, + 406294868, + 95827805, + 936785955, + 369662663, + 917770106, + 49631711, + 210562725, + 291161228, + 322529256, + 68666709, + 942503192, + 279012452, + 735474489, + 146417506, + 901835647, + 109696432, + 632863083, + 528116008, + 10058212, + 172614010, + 407366770, + 66389818, + 170840603, + 815986284, + 521940212, + 493671002, + 186397384, + 145869243, + 972613097, + 905207863, + 96180957, + 948906738, + 105921375, + 221585447, + 544900304, + 559123203, + 49241133, + 857207710, + 915389351, + 115757980, + 504534196, + 787465838, + 644243874, + 575056843, + 528231467, + 733936998, + 153318519, + 502604972, + 718464293, + 990149086, + 33718640, + 71948038, + 401355033, + 446925541, + 162535291, + 523114236, + 926050596, + 708440631, + 604032815, + 3312113, + 895048623, + 519008014, + 75841816, + 779131225, + 396137160, + 725362378, + 996496845, + 400036795, + 169293920, + 683054123, + 359227360, + 85389716, + 571034589, + 615555882, + 827830688, + 182318708, + 63399022, + 332486621, + 938964666, + 881218816, + 716744192, + 752372862, + 152769088, + 906431751, + 623505706, + 713150913, + 110838280, + 823473128, + 236542472, + 727789958, + 626274357, + 207930456, + 775550228, + 476419691, + 151146679, + 264757778, + 203718402, + 936597025, + 540756823, + 782072955, + 937144945, + 365137980, + 515106445, + 504703831, + 782174015, + 157333309, + 997883927, + 600818982, + 338026534, + 972567221, + 254343502, + 972496774, + 147622321, + 543032696, + 148210846, + 277387706, + 26962444, + 513439796, + 815592025, + 883089626, + 340461306, + 765187354, + 25139628, + 612981934, + 869478335, + 507251691, + 458783783, + 861613890, + 150071039, + 573365217, + 687461510, + 215147668, + 569336016, + 427755545, + 120804340, + 533602702, + 257880606, + 243825301, + 425820188, + 179996808, + 159919222, + 20773746, + 750896606, + 372473346, + 443905558, + 52777096, + 925398106, + 892602974, + 536550792, + 249072124, + 463887921, + 116336059, + 966932366, + 394536789, + 115152217, + 621929932, + 523952786, + 937215616, + 72167527, + 815891789, + 366616322, + 920045664, + 578952860, + 386555747, + 174100613, + 961484460, + 267810332, + 218633879, + 580426562, + 474526585, + 858973969, + 991953836, + 73856924, + 69085101, + 52172530, + 489771390, + 896374852, + 289779283, + 853412581, + 718522450, + 520611553, + 695392959, + 524927187, + 266253283, + 393774699, + 9080756, + 303950250, + 315276286, + 392660410, + 793886181, + 862737991, + 915928469, + 697369425, + 709689661, + 251142924, + 544437917, + 324752238, + 724809701, + 302711667, + 96504055, + 891618427, + 541560475, + 459756736, + 87683218, + 322040373, + 556934819, + 460208498, + 121367180, + 274436394, + 923802581, + 315894119, + 911681164, + 852039935, + 415704813, + 325863300, + 145788204, + 298194353, + 14300437, + 209301065, + 92486953, + 221926363, + 376872637, + 782268162, + 783620029, + 101516993, + 114608700, + 613316652, + 543172300, + 672120730, + 227231114, + 896387252, + 321718411, + 122372962, + 868200118, + 916929641, + 921218032, + 594525672, + 990653493, + 292502085, + 471659254, + 158821416, + 674924857, + 176098528, + 5175459, + 878139168, + 218453250, + 787396854, + 657975744, + 113209817, + 57706219, + 126730029, + 66263753, + 893482064, + 14339412, + 854342145, + 749741683, + 281497213, + 347677813, + 850597458, + 793919412, + 499514872, + 628261312, + 939449384, + 774419275, + 545705863, + 577541435, + 582302412, + 578906638, + 324910212, + 406421100, + 736929734, + 154004361, + 838352800, + 602222541, + 44999859, + 721906311, + 123033182, + 597119224, + 396371507, + 397905732, + 685016360, + 577840816, + 904741822, + 377776228, + 610002988, + 686704251, + 574613800, + 270442545, + 967698632, + 237152043, + 869394488, + 470755564, + 983694315, + 977648085, + 612378323, + 152162844, + 368507384, + 470092530, + 702130803, + 783561003, + 682423981, + 87702812, + 9884061, + 580678054, + 521402089, + 150050715, + 717689080, + 717854976, + 768800254, + 373778234, + 663187426, + 690523948, + 358780099, + 267218371, + 122410794, + 875357658, + 885209429, + 641043613, + 765854306, + 707530278, + 754398286, + 164008949, + 233311813, + 164482382, + 241030046, + 92179998, + 105190978, + 346985157, + 492611435, + 14060941, + 582548250, + 683260302, + 698363934, + 249195810, + 458725556, + 887742027, + 959735645, + 58424727, + 960119504, + 913848988, + 431068902, + 155733623, + 420228147, + 732933102, + 906437447, + 226762676, + 914815038, + 78522387, + 401016415, + 430479404, + 373994386, + 180166242, + 460678565, + 491282562, + 583592933, + 661497927, + 272697030, + 615462830, + 818480692, + 157704423, + 454038021, + 322646299, + 939726426, + 760537471, + 952217740, + 900432681, + 221587439, + 63955070, + 916476614, + 927518966, + 125576432, + 494816959, + 663352124, + 949480835, + 481215781, + 319882571, + 596489643, + 554480587, + 153754651, + 185007264, + 146757568, + 362250926, + 893069636, + 972186061, + 466464713, + 625199848, + 252752498, + 683513777, + 505049176, + 143577523, + 520882855, + 997345766, + 179647677, + 397433222, + 849468779, + 643395641, + 553193530, + 691351450, + 923553326, + 164205768, + 736900198, + 539899796, + 812700836, + 126546022, + 355774824, + 341328201, + 453080677, + 438912389, + 400828783, + 814377781, + 36357777, + 972777442, + 847438580, + 444090785, + 321509903, + 102932533, + 859233003, + 145940239, + 626627904, + 490250368, + 874016922, + 136325156, + 26378559, + 748244880, + 749560048, + 534475657, + 931425758, + 509463716, + 107830810, + 639200610, + 260451225, + 637324055, + 186486243, + 712276447, + 549838179, + 730799376, + 484246655, + 405387636, + 945312860, + 48950903, + 243460697, + 449010103, + 73228044, + 79440741, + 619603598, + 407485317, + 651543679, + 604192861, + 180511088, + 684644061, + 521482947, + 129294089, + 275683493, + 840792922, + 580366969, + 713151468, + 401846047, + 508162869, + 770462477, + 189707571, + 492461183, + 577821626, + 899892721, + 30267051, + 792225991, + 255958816, + 484689854, + 98018887, + 441240377, + 689787753, + 76474737, + 854806007, + 409202531, + 267247422, + 103744926, + 360928176, + 79695443, + 20597184, + 682738919, + 727206361, + 640426987, + 912022283, + 944990728, + 362948979, + 371905153, + 130127062, + 925722970, + 675624472, + 237203198, + 228470782, + 738842112, + 657619066, + 482651728, + 370957879, + 80500014, + 542905792, + 824079230, + 798176829, + 870830864, + 293636709, + 533943409, + 310858390, + 292358384, + 101712724, + 813946829, + 43182054, + 334645815, + 253921347, + 942606446, + 31442838, + 475249830, + 395062553, + 83808451, + 874530548, + 498613552, + 165461583, + 819224926, + 550688932, + 501715316, + 554837534, + 820093269, + 784122504, + 255424812, + 1081882, + 804341490, + 418979129, + 29838670, + 169714352, + 995418081, + 710699504, + 247231126, + 654252158, + 406640353, + 5954554, + 899066316, + 188410451, + 988950482, + 768183224, + 763118680, + 584894479, + 594197625, + 716387422, + 604824289, + 680159355, + 306774317, + 308761125, + 725817718, + 758909232, + 858954661, + 218339602, + 968051836, + 839776100, + 274452600, + 406683013, + 577563758, + 928071352, + 457812644, + 254507290, + 597683907, + 4010325, + 454416665, + 804849713, + 770576076, + 458607821, + 249457011, + 847069905, + 431474968, + 235307613, + 833740754, + 132015845, + 205074981, + 528944081, + 94072284, + 792771999, + 244560380, + 962495000, + 456768040, + 95224687, + 724089935, + 744385253, + 975845938, + 921764592, + 928414002, + 181447977, + 845669950, + 292953684, + 342900506, + 988039705, + 791226290, + 225846072, + 704725754, + 375635333, + 689890795, + 376413002, + 919756731, + 1839982, + 224106705, + 823079071, + 375528286, + 571443726, + 131510099, + 742937864, + 990822229, + 685889689, + 410171494, + 804674773, + 364003534, + 639186181, + 452339637, + 49223137, + 113922173, + 819679946, + 218040538, + 883322995, + 782796703, + 57154167, + 732323014, + 971562992, + 213660041, + 378742683, + 918247605, + 958875567, + 3495003, + 401805931, + 212498444, + 34134670, + 908287997, + 411002023, + 451491166, + 538882614, + 549001309, + 574267416, + 349091693, + 624635886, + 216995349, + 477606345, + 160521636, + 195612595, + 902478083, + 661096349, + 607875922, + 486998155, + 662128699, + 254327615, + 450760543, + 416060934, + 501672355, + 66997675, + 142337022, + 361788685, + 180167815, + 28852057, + 700045886, + 344098297, + 930179918, + 425376569, + 146104427, + 696798801, + 146772764, + 517999871, + 34879348, + 548182546, + 34146834, + 691758497, + 50848326, + 433993386, + 868545534, + 487297434, + 499753551, + 23904451, + 257485803, + 857755558, + 827592947, + 80301637, + 468280797, + 377375348, + 975827562, + 986593419, + 483659910, + 816580871, + 996402484, + 957662681, + 217017618, + 284899511, + 360769730, + 784760225, + 609867027, + 768303477, + 465644257, + 767929942, + 169999437, + 663635048, + 681341151, + 703192969, + 248469762, + 601669017, + 924963870, + 601310460, + 961634780, + 744962727, + 9823178, + 652984889, + 412086197, + 567215957, + 667180649, + 839845953, + 981929622, + 18592808, + 410750525, + 161533608, + 556851708, + 326454362, + 971755456, + 980806772, + 821759082, + 624520118, + 406943131, + 16204871, + 732047681, + 129389687, + 170524272, + 184243024, + 129042299, + 980825801, + 617574143, + 935893611, + 989347277, + 820031986, + 630985553, + 645402579, + 538419871, + 812365107, + 417580094, + 44437385, + 11895061, + 338332760, + 276344423, + 740060895, + 906005832, + 991295653, + 575442355, + 252677775, + 388951234, + 855886537, + 323767990, + 570721040, + 766631751, + 931326393, + 994988010, + 471186498, + 678987620, + 570662059, + 967535714, + 774247009, + 729203800, + 15033759, + 222075846, + 277743892, + 512347825, + 924498761, + 60635466, + 835933821, + 147052004, + 777241745, + 44854682, + 440154871, + 24690496, + 233738584, + 56308577, + 598007086, + 963814576, + 561719994, + 818672972, + 780569219, + 564241230, + 689263344, + 668008912, + 790557134, + 806786815, + 28588306, + 295365233, + 119238593, + 147915534, + 639803943, + 841289049, + 447205977, + 226912415, + 105515054, + 41235325, + 805913791, + 349872414, + 150993643, + 53677628, + 361870764, + 893255497, + 268701280, + 910184408, + 88803822, + 259125827, + 891916340, + 642511329, + 319813050, + 794116009, + 301694523, + 600751248, + 211125843, + 784055521, + 971299574, + 636836323, + 867626206, + 493576363, + 443582901, + 186877774, + 136524037, + 243076189, + 22973421, + 200676866, + 328692513, + 420508317, + 451373669, + 160301946, + 349471833, + 966657640, + 962719709, + 874989659, + 280676244, + 920104613, + 159001571, + 42580632, + 168151822, + 278662634, + 55401924, + 138104133, + 626433971, + 496354767, + 103772982, + 32285699, + 586273910, + 571133272, + 506497659, + 380909199, + 703333945, + 528523985, + 872532356, + 469855684, + 161160737, + 94940528, + 909625591, + 815645282, + 965983354, + 693463067, + 61975531, + 147449717, + 338790683, + 343964729, + 516945226, + 518102604, + 431322663, + 720800910, + 15118579, + 815503891, + 184138894, + 69778478, + 100864742, + 689329746, + 939551956, + 946151636, + 775326698, + 310364574, + 368539007, + 459961408, + 172638014, + 629486367, + 37316388, + 323483178, + 309419569, + 263866543, + 300112668, + 993212917, + 311331533, + 348689239, + 831344165, + 199659349, + 3129267, + 51309861, + 741499058, + 111994286, + 300925606, + 786444082, + 971562325, + 265159696, + 358667389, + 487148100, + 225955226, + 440434595, + 285239998, + 792057782, + 82848978, + 171504470, + 218454092, + 616540252, + 379268562, + 588336457, + 998007040, + 226384480, + 638257244, + 80076913, + 176947599, + 470967767, + 477790323, + 924013282, + 457524220, + 336388565, + 849970676, + 193820907, + 357919452, + 785214207, + 893567055, + 720163328, + 285229595, + 175140092, + 283853122, + 628750529, + 174123081, + 861571311, + 357976802, + 257864974, + 777615348, + 569793544, + 98070929, + 676988906, + 970394269, + 998528423, + 920311700, + 548863396, + 571481906, + 30031208, + 48162182, + 315370888, + 163987457, + 488670509, + 798059948, + 590095690, + 602425902, + 572145445, + 54583146, + 352670036, + 71458305, + 524384731, + 419882720, + 627645908, + 500674250, + 411438206, + 315487110, + 347926083, + 350553012, + 812909793, + 424702408, + 745527501, + 385533634, + 650198382, + 585910632, + 203800018, + 678341767, + 315924129, + 470275672, + 374076421, + 438390347, + 192311479, + 293429756, + 846100744, + 484992012, + 79219228, + 948593872, + 148208407, + 541661350, + 383950217, + 117767843, + 267981443, + 359546755, + 510694585, + 18652205, + 915974379, + 340016967, + 316856932, + 437087477, + 440423998, + 169573632, + 252707841, + 106889569, + 243442399, + 329472778, + 728138703, + 789657403, + 198742171, + 263431290, + 601107140, + 252565080, + 267854602, + 564648396, + 362616408, + 210691155, + 350601392, + 983130132, + 453268996, + 866306649, + 336528819, + 667061855, + 205525074, + 416068902, + 72582702, + 660370770, + 21602478, + 753978849, + 214325740, + 631993153, + 13848952, + 996994544, + 124881499, + 513808143, + 462036449, + 950411648, + 938909904, + 956914538, + 401882325, + 669815741, + 442411536, + 118477579, + 782681610, + 496799526, + 259084482, + 960603022, + 8907660, + 785510435, + 280199889, + 660974826, + 391337252, + 749431530, + 996809580, + 79583184, + 735831170, + 538699411, + 3986019, + 636863483, + 607328870, + 688231029, + 731941397, + 561263428, + 923145536, + 441266641, + 397923396, + 557841264, + 564647729, + 489836187, + 185622162, + 196538638, + 902101049, + 157556786, + 312756430, + 581287801, + 905420444, + 490683697, + 280310144, + 257071399, + 788487953, + 580841493, + 580083473, + 184913948, + 469132892, + 689726950, + 247317255, + 673386147, + 933323572, + 649976355, + 582460493, + 932776911, + 978146704, + 808566567, + 131029178, + 389151934, + 377068530, + 199725285, + 401619154, + 42900393, + 445950256, + 401021112, + 670501212, + 732136025, + 291004243, + 4280844, + 144352032, + 478437570, + 136163062, + 22439260, + 738144182, + 931008168, + 632395809, + 132860274, + 271756303, + 450485010, + 430172904, + 388951162, + 916914248, + 347124586, + 30112647, + 48430589, + 549341266, + 904671958, + 325320312, + 187505977, + 847544548, + 592423680, + 161520612, + 581247334, + 622935983, + 784235700, + 130701899, + 859397094, + 420304286, + 840548713, + 851906099, + 847825628, + 558690474, + 610894224, + 409971589, + 248449143, + 753602440, + 514229638, + 875473387, + 496771298, + 238457611, + 45913475, + 705483282, + 109035065, + 812219169, + 82945314, + 686587182, + 486315004, + 515341846, + 216430206, + 371476833, + 111020143, + 987820446, + 791638954, + 189922730, + 22289530, + 504207376, + 870289042, + 522679937, + 867944916, + 241391437, + 834340588, + 335012142, + 262910187, + 734266063, + 206172810, + 426335011, + 119983324, + 174942817, + 962253968, + 561241667, + 171284412, + 636491079, + 357164637, + 757989294, + 960188280, + 297065958, + 959613695, + 366715119, + 480805495, + 680886198, + 108434486, + 658315368, + 580781234, + 298961435, + 819648743, + 448396682, + 191769405, + 413070021, + 338450512, + 793560713, + 429350602, + 5953061, + 941928046, + 986034853, + 439545101, + 964065261, + 716612277, + 582886884, + 66263778, + 391684569, + 528441565, + 922878964, + 2368064, + 847605978, + 42857652, + 656572241, + 178917208, + 819134315, + 94677158, + 77002932, + 350045529, + 797949268, + 282995595, + 94995093, + 210941196, + 630012810, + 344612556, + 752579800, + 603312683, + 134802298, + 729330124, + 684517737, + 449255516, + 732221964, + 293508036, + 830984827, + 385150800, + 425460074, + 478225360, + 953499577, + 146273966, + 535693555, + 344786213, + 782594615, + 103596855, + 532758843, + 34613721, + 155606245, + 630807778, + 889977184, + 727949107, + 323956778, + 390745971, + 179413685, + 79501805, + 970192987, + 817448127, + 733513172, + 248076636, + 958838442, + 947924997, + 56893442, + 909701229, + 599283497, + 682630601, + 848320509, + 501929787, + 806692048, + 52230183, + 896284241, + 912833243, + 925609230, + 932936646, + 692440016, + 301874917, + 185843502, + 181644767, + 727983272, + 192332519, + 670580547, + 724973757, + 591182077, + 268460855, + 735353334, + 904235917, + 188317922, + 888930327, + 309973167, + 735630348, + 764771721, + 193606761, + 20257391, + 160163731, + 394112810, + 292556318, + 236168651, + 163911726, + 120772552, + 103920549, + 973229692, + 525147934, + 887349451, + 529528346, + 681690824, + 114054868, + 701527180, + 656479372, + 47211740, + 741707115, + 667820215, + 595062964, + 134087781, + 855107355, + 976735985, + 743817889, + 222642477, + 243084474, + 269817752, + 442614723, + 685444912, + 386159202, + 682847519, + 969327149, + 643072027, + 39613122, + 329364727, + 232843747, + 444298841, + 967209354, + 641040939, + 153142999, + 498123212, + 428851597, + 849405915, + 440639129, + 871117178, + 123596374, + 81346658, + 596215404, + 906809881, + 750479568, + 567423275, + 428882919, + 544165548, + 381462852, + 26193817, + 959211050, + 212308337, + 582721686, + 195377886, + 762519256, + 31797886, + 229761351, + 647752443, + 137400388, + 711254972, + 203521234, + 874425518, + 239562455, + 947730476, + 782944731, + 174336441, + 677112082, + 97896315, + 188683074, + 995286011, + 96243316, + 366262804, + 638476876, + 413083525, + 35070240, + 983217102, + 132945753, + 176218134, + 324538820, + 469584297, + 452525437, + 285552678, + 428454109, + 249897492, + 302435334, + 942682025, + 96680475, + 628200075, + 625315780, + 323819912, + 678361023, + 471787648, + 328490738, + 287017865, + 766087988, + 104027778, + 108620917, + 549973126, + 618670330, + 684525546, + 336399626, + 817890626, + 945553112, + 546826216, + 854261902, + 213992804, + 682834780, + 227463102, + 585275290, + 603586903, + 651670470, + 947771924, + 117214732, + 518661633, + 183387238, + 248633075, + 708735526, + 562836699, + 263981144, + 564995479, + 392835919, + 656309098, + 749484942, + 989728035, + 376119257, + 962953474, + 537921204, + 281854422, + 427358976, + 966975887, + 798653632, + 532681544, + 681364101, + 721792974, + 140288494, + 502219879, + 347902674, + 559097166, + 358783724, + 709031787, + 714634975, + 956991303, + 736448743, + 312927464, + 485319514, + 563809517, + 926212704, + 778041080, + 149258548, + 874929181, + 668642067, + 234384280, + 728838419, + 103680275, + 397840246, + 984156124, + 661898714, + 796767660, + 145421386, + 839082528, + 114697275, + 180154324, + 814022372, + 312263593, + 755598747, + 147623557, + 16294144, + 213960942, + 545488542, + 313286999, + 316314685, + 155297346, + 13783134, + 535429706, + 708444258, + 93717437, + 760755940, + 880601217, + 916921836, + 175871975, + 724729278, + 637843082, + 544964304, + 814581098, + 216771338, + 601826716, + 598466968, + 453646955, + 565333411, + 463808592, + 605619067, + 79120383, + 109341503, + 920539882, + 40448815, + 264943981, + 964941306, + 535840515, + 703724999, + 392781304, + 988846519, + 146880848, + 581516940, + 461266736, + 991942970, + 351330773, + 697310691, + 275606735, + 458196520, + 538229558, + 837311516, + 320157928, + 563841407, + 443067420, + 790259551, + 937906063, + 7734929, + 629418218, + 739972635, + 253901870, + 183927010, + 594572049, + 728960919, + 374361201, + 840045557, + 481619677, + 273079652, + 2350465, + 435355504, + 83955938, + 643126125, + 803640365, + 803729988, + 623422534, + 267249059, + 26857414, + 553460825, + 524688064, + 624494055, + 95881198, + 925034096, + 2162590, + 748495905, + 810877147, + 837111984, + 132060726, + 671523574, + 201777605, + 734685911, + 324222066, + 136012495, + 745040898, + 361327749, + 712032021, + 842382115, + 235854152, + 359031475, + 386863477, + 866670761, + 235885664, + 552572804, + 657718486, + 636140542, + 929971793, + 549125356, + 655924750, + 189815157, + 846139984, + 119076093, + 146136363, + 718109164, + 199851215, + 548904570, + 917872396, + 148761533, + 612515835, + 840088362, + 420294069, + 687144102, + 395852367, + 930249590, + 359331082, + 153013724, + 810582189, + 449456506, + 255615884, + 851499307, + 300133549, + 232994488, + 600441166, + 559242926, + 953890971, + 992881096, + 651532658, + 697194348, + 861022377, + 141951983, + 715556227, + 608870981, + 822163138, + 282846174, + 309699916, + 748617148, + 825019626, + 120516327, + 547514923, + 603699724, + 499746069, + 187287594, + 796048187, + 612887460, + 246424092, + 995999823, + 225459940, + 83960964, + 758501974, + 618085698, + 544264334, + 737887618, + 63079131, + 313131524, + 453601555, + 699137881, + 580843061, + 133225620, + 71056546, + 705450987, + 754601523, + 185556287, + 295904860, + 329592280, + 225944404, + 217627313, + 371596510, + 417268664, + 700900190, + 312972669, + 903298303, + 828271073, + 559088294, + 231974096, + 344725102, + 125767321, + 528663412, + 869516935, + 943491247, + 682127376, + 306784321, + 235294015, + 301436899, + 269292283, + 816555679, + 818126727, + 393584521, + 954516685, + 344308938, + 691826372, + 278811066, + 323303841, + 332696304, + 264936089, + 488226740, + 537166370, + 724505685, + 864681293, + 988496260, + 156143476, + 597599288, + 983070127, + 581904290, + 466934858, + 364036565, + 278930480, + 926994905, + 703371818, + 772030825, + 291619437, + 419033482, + 855161445, + 299000591, + 206283340, + 960010587, + 964323976, + 989838508, + 363854560, + 596777835, + 380853670, + 366039001, + 790439445, + 935594359, + 271674448, + 230202471, + 356539077, + 245939830, + 291836878, + 709083562, + 827374318, + 467936050, + 974766537, + 899956474, + 245152841, + 134424980, + 736463811, + 746016845, + 83795152, + 789487271, + 700611465, + 646641584, + 259346301, + 362747979, + 684366287, + 51027934, + 895278873, + 481643936, + 414101397, + 931723679, + 749222736, + 251404085, + 145667451, + 707808044, + 182242583, + 141134924, + 991902258, + 77114999, + 118980938, + 842411594, + 381208299, + 231692597, + 451232892, + 912310119, + 739076790, + 341406312, + 502643091, + 155839684, + 790200132, + 370367613, + 108957014, + 102705540, + 875568064, + 588967951, + 645400124, + 845748347, + 124346572, + 201849797, + 879850709, + 60638398, + 707878279, + 633573623, + 387949453, + 589407593, + 399939845, + 340223721, + 95958947, + 798133771, + 123577506, + 690181918, + 204689593, + 723775556, + 912655457, + 675418641, + 122373652, + 342538857, + 381045431, + 210575632, + 842829131, + 289371934, + 834062245, + 87043014, + 200804860, + 642849830, + 567598452, + 152815598, + 459440899, + 237530418, + 674542604, + 956067033, + 38367871, + 905619929, + 631789795, + 282780494, + 869335178, + 900012177, + 818885498, + 224157346, + 238512723, + 52167014, + 70098021, + 900131785, + 652237166, + 142393312, + 967410949, + 48852687, + 549505062, + 151315131, + 68107520, + 481137284, + 954372332, + 349869726, + 428867625, + 661640439, + 988392345, + 562477770, + 471393170, + 590252585, + 228283375, + 882605925, + 830431892, + 56890864, + 168720210, + 67310399, + 685321690, + 231948257, + 86815193, + 351832357, + 797204161, + 306207862, + 328799709, + 280990138, + 875638044, + 903264057, + 209458804, + 612555855, + 979321801, + 111855627, + 619822053, + 248120975, + 559092919, + 703083443, + 51404116, + 161811033, + 223545428, + 401506770, + 378865307, + 804471811, + 697678865, + 894828203, + 155496351, + 809953324, + 960051295, + 509918443, + 563499961, + 384296715, + 499056058, + 774329241, + 783285144, + 569217708, + 819543058, + 21200376, + 729790186, + 959570454, + 867112589, + 317749624, + 256766039, + 980091400, + 406701926, + 838098067, + 461138118, + 676348862, + 215072648, + 625298807, + 405887456, + 612803826, + 975445130, + 746688059, + 278737402, + 701864808, + 166514608, + 896654911, + 821765968, + 525342111, + 774106881, + 235920200, + 325168445, + 700692214, + 48332305, + 160900224, + 413821769, + 439197063, + 896268668, + 811703619, + 37660191, + 393699640, + 463788166, + 617838295, + 358278376, + 798780230, + 810650097, + 720768406, + 253191197, + 743693715, + 757890924, + 32278360, + 178775255, + 286534826, + 639642998, + 61596883, + 649262900, + 618602688, + 731365106, + 446542385, + 549782976, + 614246769, + 742633799, + 870879290, + 387598235, + 821561904, + 622268470, + 555922322, + 425016015, + 178527934, + 529314711, + 189222790, + 343391814, + 742601893, + 48855808, + 834439768, + 738259912, + 986824397, + 44205841, + 465282457, + 362436617, + 281557170, + 697252055, + 421622548, + 793275891, + 472121631, + 729724370, + 113334202, + 172107389, + 945774381, + 80163070, + 659737062, + 452243356, + 741304242, + 557020488, + 25998478, + 445754513, + 843321643, + 142655784, + 926691461, + 956266541, + 299200232, + 325041263, + 582963906, + 182884428, + 810208714, + 776663497, + 935796134, + 246794724, + 753957204, + 878846825, + 605702752, + 492279222, + 514118294, + 434581593, + 307023033, + 828379793, + 863497756, + 980708014, + 307150294, + 911378286, + 751505071, + 665564608, + 263964219, + 237983645, + 440132621, + 670225984, + 833912890, + 524153067, + 554516693, + 703913003, + 375427253, + 205811627, + 711783980, + 267010959, + 255321173, + 920653275, + 678343582, + 471694598, + 917324156, + 642458584, + 43941735, + 486824068, + 208768226, + 494618621, + 808674675, + 966711433, + 531185651, + 252954246, + 496252267, + 943661490, + 540824821, + 891995746, + 597152184, + 251646910, + 778651072, + 551825246, + 231105659, + 596865601, + 274733551, + 429630594, + 320866759, + 427879147, + 412398869, + 71647561, + 748208189, + 157662435, + 872492150, + 851710541, + 919755601, + 196422947, + 819099367, + 849479766, + 221853201, + 282854892, + 774145641, + 112487324, + 126044274, + 787461569, + 112445786, + 476172515, + 443450430, + 508778771, + 5395576, + 772173898, + 21910541, + 124237776, + 180203760, + 314337557, + 744528824, + 637484454, + 8702526, + 562019173, + 173531669, + 347089809, + 321561942, + 704271528, + 965129958, + 527464356, + 465609029, + 883248213, + 41728750, + 273360639, + 149351226, + 686622141, + 842813077, + 512184982, + 18022676, + 833705669, + 39758546, + 472058205, + 182954011, + 944480471, + 599202214, + 411924464, + 722367505, + 477484445, + 88572130, + 996774307, + 908728271, + 955738218, + 322769162, + 158627028, + 473591086, + 995793318, + 631779904, + 245479192, + 278051091, + 371823437, + 566022223, + 457146103, + 535755660, + 448174498, + 280352182, + 68680985, + 730835832, + 135910580, + 387227277, + 875288473, + 443489763, + 872466314, + 923362864, + 598554013, + 409025615, + 353050524, + 257698493, + 18631209, + 900098477, + 651152100, + 364598234, + 915113325, + 478937968, + 961732421, + 406552237, + 964167033, + 203316272, + 974350904, + 523570237, + 401100451, + 438133214, + 470177957, + 686792903, + 155498072, + 738550700, + 753626332, + 853876646, + 750451198, + 962348170, + 826185480, + 734782443, + 560061063, + 575826394, + 823818562, + 717979669, + 84388530, + 951398669, + 883458798, + 226832531, + 620795519, + 92525922, + 108589328, + 843355577, + 650157608, + 520909801, + 655283859, + 305787552, + 375750882, + 28722234, + 605010248, + 449110059, + 447652199, + 793646031, + 563131306, + 971666324, + 652448576, + 376880295, + 788743601, + 735468533, + 31965161, + 310835020, + 838042887, + 925753086, + 960112390, + 545636609, + 483477384, + 761412924, + 647930495, + 422924217, + 534777769, + 357689055, + 362449103, + 680323028, + 830205766, + 590466975, + 961173972, + 659629864, + 577257930, + 181635739, + 723387461, + 614772090, + 114533602, + 224753571, + 798622135, + 665797216, + 469430367, + 888315891, + 137048142, + 387441032, + 791558534, + 158618858, + 724555995, + 829899136, + 118945686, + 408346658, + 66074953, + 836198994, + 200733677, + 990058841, + 977021988, + 645597388, + 432968258, + 602367819, + 70608267, + 85198549, + 429248497, + 515499713, + 264751801, + 829430041, + 247121299, + 560448993, + 335526998, + 552800864, + 56619218, + 126128790, + 333810257, + 834598653, + 673858949, + 917703774, + 490596899, + 597851871, + 949283412, + 375560421, + 852190511, + 110031150, + 777373336, + 573910543, + 623960704, + 317057846, + 761329138, + 898886450, + 586190734, + 368970180, + 93611430, + 49463570, + 584113656, + 48581324, + 498627749, + 625553709, + 337168010, + 635562267, + 827020488, + 366124443, + 269775528, + 996406510, + 121939195, + 155654252, + 945666556, + 653271735, + 703643132, + 375171106, + 344743950, + 32766206, + 220872711, + 847373337, + 77796023, + 851662626, + 690615951, + 165062786, + 285135414, + 47560482, + 232866427, + 600653309, + 610921009, + 946608452, + 370659752, + 299790833, + 556797077, + 317392431, + 728996921, + 882039312, + 812101131, + 541300161, + 91291937, + 989542177, + 397362663, + 973531403, + 585584450, + 981982480, + 316039418, + 662551037, + 226915103, + 203312039, + 143976765, + 701906082, + 444690820, + 802868661, + 396580790, + 479768532, + 131383596, + 371185447, + 879643865, + 130426830, + 260811502, + 448547222, + 922420153, + 383368891, + 758309537, + 40083386, + 785278508, + 617301368, + 535537491, + 117875822, + 193695507, + 124504197, + 990371664, + 49468839, + 707942762, + 256810044, + 593974449, + 233599970, + 31655224, + 904044611, + 906498658, + 617446460, + 625281483, + 89528403, + 53993303, + 926473334, + 814352834, + 654304568, + 648489131, + 737846091, + 738205639, + 296718864, + 44141185, + 650029042, + 902426598, + 866500627, + 129073753, + 321274121, + 246275242, + 441183119, + 565390718, + 705057017, + 402143260, + 755711259, + 765500561, + 974247985, + 232362235, + 945257581, + 573646992, + 675480090, + 48897954, + 966969220, + 539643045, + 125642860, + 967919172, + 177385483, + 264547766, + 448730589, + 733759180, + 100479216, + 962184608, + 449324466, + 527173438, + 620232651, + 1044952, + 874791617, + 799175430, + 898296760, + 220025969, + 747480294, + 828226551, + 659770121, + 985165667, + 916201836, + 227931653, + 770252648, + 93338716, + 72106530, + 663457739, + 891661893, + 178804041, + 412580526, + 973077257, + 650521984, + 316426544, + 853350714, + 907065887, + 705009272, + 316153240, + 992177255, + 992846158, + 771923063, + 900470907, + 493143686, + 243324252, + 24066574, + 202750130, + 40908373, + 313466710, + 803559886, + 481696294, + 686598392, + 892411813, + 450625766, + 470761109, + 113762999, + 246395466, + 352718947, + 647615773, + 947930311, + 140405987, + 341230165, + 782699586, + 395590923, + 897340652, + 276748572, + 159229100, + 563231986, + 306441809, + 951344915, + 963418938, + 858735686, + 284719727, + 25037538, + 39519376, + 328287270, + 669581793, + 340974699, + 408799646, + 237651490, + 499872735, + 391283659, + 188930278, + 14579922, + 436349321, + 39741399, + 219903454, + 316386652, + 790332018, + 496992050, + 470225844, + 392107810, + 542286639, + 683503552, + 332990074, + 501545268, + 797877595, + 851307077, + 191451209, + 593189406, + 976476183, + 918321591, + 340620296, + 558449182, + 302661099, + 582112417, + 844539054, + 352913972, + 853947180, + 681440402, + 480309828, + 312390779, + 784437523, + 845403649, + 915154630, + 41737835, + 418090345, + 906117797, + 349325996, + 610038593, + 724067955, + 356683495, + 993853901, + 462716332, + 148537044, + 73972169, + 55868155, + 203298394, + 906864604, + 916946577, + 815084987, + 353891572, + 906977314, + 782787956, + 938121265, + 133361503, + 472549069, + 652414305, + 974730419, + 426577822, + 692131182, + 216483115, + 33029046, + 512325951, + 762412000, + 550037408, + 250169400, + 482454718, + 924596609, + 295013073, + 252338038, + 495012452, + 895549135, + 748123400, + 816076489, + 994413346, + 781832298, + 951782049, + 317176914, + 430667904, + 191375258, + 447442954, + 365645416, + 393784330, + 181436151, + 713216279, + 980911505, + 504089297, + 65076019, + 732200793, + 74283652, + 489241661, + 969314584, + 31956688, + 842248434, + 812446840, + 368730011, + 448106162, + 847435078, + 549798870, + 912049413, + 324857159, + 204461086, + 97965855, + 864245858, + 946407091, + 786731601, + 187637036, + 638243015, + 547325436, + 819807071, + 470771042, + 240526815, + 659446570, + 253216426, + 529583416, + 544137363, + 678584562, + 262948389, + 813002202, + 193256116, + 709494303, + 818194550, + 321957140, + 158070998, + 401790555, + 632402171, + 405718294, + 234198655, + 449015725, + 494852498, + 434910352, + 612575771, + 196481955, + 417211510, + 52952574, + 244013989, + 304062532, + 479964333, + 846729316, + 362553474, + 428455502, + 905540917, + 466451311, + 690422856, + 347383216, + 686096120, + 166727250, + 372543626, + 803971123, + 413072049, + 744530051, + 312646817, + 651860642, + 315617765, + 198084912, + 929952566, + 676044212, + 990101537, + 846609042, + 869201595, + 491651700, + 691213736, + 177812976, + 496589603, + 3930285, + 142498882, + 351086654, + 711706061, + 513485816, + 209016986, + 198161565, + 318175126, + 358678168, + 813550908, + 791699733, + 512842910, + 761190592, + 731977554, + 101762387, + 37165904, + 563710129, + 360917323, + 771155987, + 91700843, + 333685346, + 210741277, + 351212133, + 894445529, + 990359789, + 415394517, + 709048551, + 389320136, + 897199670, + 424202332, + 902697222, + 635339264, + 213404382, + 342834996, + 730302689, + 367146097, + 841718042, + 4313027, + 806444681, + 940519228, + 979508489, + 773507913, + 599663776, + 967439090, + 629420342, + 108327119, + 35524987, + 82559623, + 717646284, + 805656152, + 123938029, + 751486783, + 89742755, + 346532241, + 375983428, + 362705648, + 656151728, + 848359521, + 960892428, + 40268492, + 724016588, + 311541664, + 924532927, + 315322301, + 46946254, + 880835131, + 725337175, + 233766344, + 747956046, + 770317769, + 933188723, + 946460600, + 864177419, + 202009922, + 272683751, + 996809314, + 404589018, + 505837882, + 400155825, + 764075525, + 500977568, + 304999105, + 54297704, + 308255967, + 437865517, + 593531618, + 895412304, + 780615091, + 68238547, + 892242202, + 383510860, + 835955153, + 288007681, + 290077607, + 725158530, + 991253866, + 293788780, + 499353262, + 276190170, + 164662264, + 814684918, + 761601858, + 797778622, + 176538697, + 485855967, + 242199137, + 922649146, + 863508678, + 978802026, + 327919610, + 26942222, + 748722068, + 124246020, + 250811278, + 72880381, + 586980827, + 920279872, + 743185684, + 440647170, + 115741740, + 276079905, + 957864927, + 774267402, + 81995601, + 432648533, + 662176181, + 963624365, + 947057721, + 654054611, + 531487020, + 719409054, + 384158510, + 579991564, + 199667250, + 776044571, + 987282549, + 649542720, + 37020691, + 295051253, + 846724699, + 359612190, + 10653281, + 637124217, + 234492826, + 540541846, + 578177177, + 517822507, + 378166291, + 867677699, + 958440377, + 965863764, + 610905036, + 584303209, + 778017021, + 240318797, + 967976383, + 248393477, + 673311159, + 535544123, + 508829646, + 947511145, + 440416839, + 398664266, + 775721188, + 17901182, + 928525010, + 822322956, + 76724319, + 623014478, + 941705693, + 693690529, + 799833328, + 288626941, + 121536345, + 29787496, + 23272066, + 913803437, + 148025489, + 506731940, + 330899927, + 936065945, + 185207104, + 81412404, + 583456663, + 92789617, + 794426427, + 554662868, + 914244242, + 641814454, + 563110357, + 521580857, + 796274956, + 17062014, + 453680425, + 825067718, + 701019445, + 488772760, + 166482561, + 845662949, + 790848412, + 607962624, + 926785143, + 100325840, + 845605469, + 536504365, + 172738902, + 950150836, + 157103574, + 624217053, + 972972993, + 229128307, + 890024802, + 99440111, + 655833077, + 272720878, + 8001316, + 386306681, + 459407657, + 206806525, + 41044464, + 504743238, + 681902765, + 551407904, + 822265562, + 119818230, + 554751426, + 872237620, + 80765587, + 526814195, + 496555341, + 362743275, + 360166747, + 362542046, + 354383497, + 210238766, + 949475353, + 116519027, + 18026523, + 141501759, + 15744217, + 483895806, + 220949684, + 91981485, + 745007573, + 816690628, + 197997175, + 679239484, + 178139322, + 17349598, + 283982061, + 969216171, + 27927395, + 908842560, + 55970964, + 66320655, + 493289383, + 51484036, + 852337796, + 461920546, + 609830269, + 706227887, + 755299913, + 316028802, + 575294921, + 237296973, + 646033459, + 954387313, + 462794767, + 938122610, + 291992001, + 179594118, + 398210788, + 572467529, + 383985280, + 522418100, + 272067301, + 214265724, + 64405836, + 716238503, + 326584263, + 959114841, + 623204110, + 957154855, + 882436799, + 564820758, + 404911711, + 948342613, + 562074516, + 187915643, + 797667724, + 286119742, + 568673987, + 199580791, + 927453448, + 820890341, + 631624447, + 411314520, + 30920346, + 155179461, + 350791222, + 503803958, + 192577269, + 481384043, + 686254086, + 559243539, + 813885471, + 555679068, + 613294239, + 955566132, + 921243835, + 555379746, + 771984614, + 619044282, + 970100264, + 631210990, + 652446036, + 581930927, + 331033046, + 987366180, + 330874759, + 962816051, + 710078737, + 459100782, + 998577944, + 109955824, + 603549286, + 452016882, + 248992001, + 907855893, + 777689396, + 220815425, + 402526451, + 971033199, + 147585342, + 269555788, + 834701407, + 16162240, + 546823124, + 630286757, + 337582940, + 349941940, + 154747071, + 119298487, + 915857289, + 190022260, + 561795271, + 553656373, + 642416680, + 319951043, + 675516184, + 946555758, + 266939045, + 144293774, + 316645655, + 436315339, + 424686353, + 509774882, + 549240197, + 202859084, + 133531691, + 393378295, + 481901600, + 368771988, + 117382665, + 810378115, + 506524290, + 690937952, + 747441025, + 386328964, + 832528737, + 342202166, + 37409419, + 559784531, + 385545445, + 717082393, + 506362074, + 118629356, + 662734406, + 132705240, + 354586972, + 69079272, + 985016754, + 488442277, + 861389226, + 616325334, + 586913331, + 897835779, + 487999350, + 696381688, + 634577099, + 627943557, + 768398396, + 368364344, + 159548776, + 368661906, + 729559801, + 652533871, + 847380326, + 537829281, + 820589246, + 735099440, + 546023179, + 770712513, + 195096214, + 51184676, + 621271140, + 77438003, + 882970418, + 85707975, + 806947528, + 253849811, + 21737272, + 584277278, + 105047871, + 778216078, + 457377967, + 367761904, + 811455424, + 897662859, + 896918474, + 953042559, + 354996489, + 6668198, + 712435861, + 313406227, + 281123611, + 872355882, + 344591957, + 387924436, + 435208021, + 284088565, + 757485750, + 428421091, + 479725110, + 435927011, + 249390634, + 828260862, + 352897681, + 691655779, + 612760446, + 557450231, + 802356457, + 150103935, + 731250212, + 621814512, + 901783826, + 759710384, + 62099085, + 497986814, + 228689319, + 693566725, + 821415287, + 609701179, + 320669350, + 901620111, + 740576246, + 892970886, + 669029416, + 282096076, + 695132706, + 614510480, + 378360626, + 413541925, + 724723496, + 94799794, + 983704806, + 778959870, + 773072900, + 645418474, + 172206643, + 496822157, + 187570827, + 636596108, + 433258131, + 693429919, + 488058061, + 305507874, + 518749294, + 504415133, + 935823450, + 864300094, + 563827653, + 702396493, + 320403650, + 153989627, + 870023628, + 279172692, + 362036116, + 843808498, + 754112598, + 835536626, + 662973361, + 926787260, + 978833465, + 370156026, + 642846463, + 612649586, + 242945524, + 324870280, + 389294411, + 91821006, + 659346231, + 568761778, + 577646570, + 668614049, + 610191416, + 801266223, + 147325505, + 202607579, + 235877965, + 521206449, + 18072391, + 491247920, + 964209704, + 871159144, + 787595859, + 470433385, + 666756521, + 111238272, + 906974373, + 619644987, + 943309867, + 971924635, + 682491172, + 610970958, + 816464478, + 551506153, + 380296301, + 845384560, + 777178168, + 627304729, + 180782487, + 257273385, + 604623722, + 549464867, + 742955570, + 140449242, + 169698540, + 939828557, + 850804295, + 874790260, + 312562046, + 239497357, + 668948721, + 673831269, + 505813233, + 854342981, + 848276653, + 78116846, + 969973819, + 187005413, + 884876445, + 786527118, + 755741896, + 975523179, + 861218223, + 72594163, + 856342236, + 955061670, + 71671901, + 593910759, + 969252391, + 962466252, + 38276276, + 633591851, + 846019485, + 23190085, + 342341451, + 612766864, + 445533771, + 265894038, + 537389916, + 166353085, + 70005218, + 863606089, + 589031221, + 482954853, + 39851757, + 471010607, + 169118392, + 467840606, + 230535089, + 384666057, + 84948039, + 566091314, + 733625701, + 243760688, + 435349717, + 967714962, + 645221178, + 463066682, + 562759383, + 525873423, + 19386117, + 725253617, + 292729873, + 918693485, + 859835812, + 787339212, + 135322753, + 699413896, + 875357017, + 175303933, + 873464431, + 300576286, + 626326142, + 397910744, + 323942517, + 300471274, + 915629920, + 21517828, + 804960766, + 791876703, + 120572867, + 873499367, + 473882044, + 987757669, + 282881450, + 95736448, + 421292146, + 714393695, + 548569995, + 376936567, + 492453765, + 480203167, + 958575214, + 349018917, + 904050928, + 163635792, + 913991929, + 975460601, + 184743683, + 736625113, + 283011688, + 150664529, + 641802421, + 497677548, + 162207721, + 468207625, + 617276271, + 971106208, + 255731169, + 37858198, + 418024471, + 865332320, + 64177044, + 536711568, + 721723407, + 547517058, + 427782311, + 513592727, + 176914790, + 953382157, + 434835583, + 503627301, + 120568472, + 823696867, + 79104825, + 625926819, + 606348074, + 921013876, + 928090699, + 703668918, + 741217763, + 648726166, + 459005552, + 193865966, + 639402930, + 391985929, + 449265012, + 918430314, + 247871683, + 526427781, + 721251751, + 575577921, + 635735967, + 160331015, + 233239742, + 414323421, + 405041892, + 423269481, + 198896906, + 794218155, + 189728460, + 870059533, + 472499936, + 305274527, + 723668632, + 955063944, + 444927978, + 671727165, + 845825536, + 661838267, + 702583072, + 128134689, + 581116945, + 578896201, + 719162822, + 864623712, + 637926046, + 649258254, + 101257691, + 882453998, + 131309609, + 179015066, + 545450681, + 514087456, + 110801357, + 312574922, + 95844684, + 974524591, + 842610944, + 451195769, + 637728200, + 837231725, + 994849953, + 115344083, + 200931877, + 693666554, + 998179997, + 943087158, + 653619255, + 584810700, + 270750505, + 35533163, + 350605234, + 824429397, + 700395125, + 610765952, + 522958969, + 250455713, + 546099478, + 732790117, + 806679854, + 370390324, + 703127494, + 605872653, + 664916820, + 697795677, + 109285000, + 12848291, + 532125980, + 930371759, + 249008428, + 504468020, + 554182561, + 152600045, + 762724492, + 521295193, + 886043211, + 276584874, + 545862236, + 341460909, + 939995827, + 421727484, + 238783037, + 603908067, + 148336664, + 924953064, + 413346826, + 472543538, + 550008973, + 440221293, + 713306025, + 690039055, + 347809902, + 132728802, + 290599296, + 366753108, + 520884267, + 577759492, + 570052878, + 58429172, + 875302319, + 824983291, + 603667506, + 685978649, + 153547422, + 695755808, + 278672294, + 778223620, + 702153480, + 154267155, + 802710558, + 834562236, + 572544908, + 820033270, + 707853596, + 929407866, + 423996964, + 638724431, + 799301883, + 445927712, + 256211254, + 45009795, + 964602840, + 614887086, + 473764531, + 837203556, + 780870684, + 198614492, + 457100505, + 118101105, + 495015067, + 404215164, + 405963468, + 879392327, + 125063008, + 337277397, + 776761253, + 387315726, + 43255347, + 289117850, + 429721568, + 833863090, + 222855094, + 733641616, + 28916669, + 654893178, + 915685612, + 790422521, + 938926337, + 711829846, + 786695410, + 199284649, + 106983614, + 785313535, + 56824911, + 666430714, + 229034434, + 867956206, + 705437038, + 311123410, + 578238881, + 625014416, + 520587004, + 28530274, + 799492901, + 519512425, + 354354371, + 359203934, + 514037109, + 579287066, + 40980093, + 798543539, + 86417691, + 623355981, + 381866757, + 922861308, + 878081616, + 504912285, + 660888746, + 118746150, + 576676168, + 206081698, + 507473097, + 584674059, + 290605157, + 491761076, + 299110119, + 9955174, + 275454371, + 392094021, + 93319559, + 223706189, + 580266070, + 908032828, + 438271143, + 428493344, + 708933469, + 20931259, + 745337821, + 52421785, + 610288959, + 71586602, + 989659869, + 342634610, + 706586853, + 631961315, + 48986496, + 312644007, + 29766387, + 834637363, + 931945956, + 460144696, + 332035306, + 786464081, + 519715711, + 140909116, + 599066810, + 525874842, + 71173980, + 407878913, + 211554331, + 636512351, + 520133172, + 873237549, + 195016256, + 976366731, + 99996747, + 67452709, + 913600950, + 257002624, + 909637757, + 567717873, + 189602049, + 885571169, + 498002808, + 168531706, + 226972467, + 582358104, + 952602958, + 957189485, + 120601339, + 647456831, + 118376096, + 822977980, + 140262582, + 478483929, + 34894687, + 952692666, + 92611159, + 339100333, + 587067700, + 694754188, + 499023511, + 398949014, + 194530494, + 503891134, + 590144570, + 886207477, + 447895591, + 456368129, + 959528930, + 33608168, + 389718730, + 808971229, + 300743435, + 868960284, + 885760553, + 510273656, + 112921352, + 778655718, + 647806864, + 456490073, + 624096489, + 646563031, + 448403357, + 929520491, + 891166314, + 609350543, + 728330103, + 278876507, + 725933572, + 100835178, + 657142542, + 450272937, + 719438672, + 665888034, + 737955839, + 222943908, + 884821469, + 985571424, + 855411249, + 62772463, + 996688002, + 475598332, + 79079839, + 904904146, + 62894403, + 633970161, + 993814930, + 990993344, + 924172907, + 972750798, + 113184466, + 135320443, + 359322552, + 104163950, + 742715925, + 879737918, + 378847336, + 274506204, + 832370787, + 991570048, + 519150075, + 478013526, + 88848534, + 969332950, + 37288029, + 696767609, + 571942006, + 675431001, + 389323006, + 617322853, + 790580784, + 388318327, + 532313247, + 907234407, + 798742378, + 609153752, + 146245811, + 130912812, + 272152077, + 479563218, + 354968638, + 345831936, + 589166114, + 268442094, + 994261268, + 460267230, + 299625075, + 985041278, + 969638247, + 467935713, + 911095004, + 494386141, + 564815076, + 601899392, + 991105543, + 269209594, + 420541135, + 338860761, + 97609409, + 197350252, + 320212008, + 538243644, + 900677213, + 392093095, + 229727661, + 290440207, + 945731494, + 264527472, + 314641158, + 201504846, + 712821515, + 397150366, + 271527131, + 382308257, + 293827215, + 677016548, + 495822352, + 742947971, + 819303177, + 821452071, + 401724294, + 71005403, + 682268247, + 610890273, + 591195824, + 865455197, + 776828260, + 141848417, + 500825731, + 480240463, + 634818064, + 640032449, + 191860491, + 428907065, + 318018757, + 817389079, + 359687806, + 573648856, + 533958869, + 740311800, + 820227601, + 86672685, + 22987391, + 749849501, + 341859539, + 818166859, + 70993488, + 707811098, + 89724463, + 115828962, + 749488545, + 151344794, + 230705064, + 530832728, + 517707839, + 647826881, + 859533781, + 883479686, + 845500091, + 704740477, + 581245383, + 386975655, + 779783744, + 395610082, + 272447383, + 204963666, + 399428703, + 911011983, + 152799301, + 283296552, + 951542196, + 702188635, + 326132295, + 3518524, + 772401578, + 914225041, + 380946398, + 514687327, + 146843590, + 491000627, + 999145088, + 922738654, + 452494896, + 190968935, + 885010551, + 601628037, + 943242211, + 502058206, + 615485575, + 763189649, + 899244519, + 624615923, + 84602775, + 894472852, + 282740949, + 24679282, + 296728458, + 171757072, + 786211783, + 400358269, + 736916675, + 915329710, + 601321199, + 438365468, + 573205988, + 697733728, + 79423685, + 174722553, + 810295102, + 423887149, + 726560267, + 701487460, + 854738798, + 361803767, + 917926019, + 382667243, + 16857553, + 770326447, + 766454410, + 925784730, + 874537095, + 422442738, + 789163678, + 518659278, + 555171414, + 137871610, + 812321722, + 787421783, + 114427480, + 608366963, + 475651937, + 259548850, + 11257041, + 105644045, + 31030178, + 200203792, + 626072257, + 881334152, + 741024777, + 246136840, + 485612512, + 290094502, + 785608395, + 364709515, + 111401157, + 448080266, + 848748527, + 202744637, + 406207528, + 951971976, + 196498792, + 219994638, + 430753246, + 41907921, + 50090755, + 507288974, + 851100191, + 150711034, + 185184434, + 363715005, + 208372238, + 442238695, + 184775073, + 330350084, + 120056672, + 911016541, + 590098192, + 292211370, + 945864024, + 595006327, + 717549070, + 453423086, + 468229912, + 510094179, + 376925322, + 801382017, + 716185894, + 866452845, + 582785185, + 937305364, + 917679636, + 675396144, + 419710425, + 203832656, + 964444087, + 978169792, + 531013164, + 433446551, + 243074267, + 555600441, + 326626753, + 676174870, + 894295117, + 87113997, + 530887097, + 565402930, + 808346054, + 731390034, + 979424833, + 945717731, + 440783878, + 14531218, + 755145220, + 397246327, + 120678701, + 491372993, + 921306915, + 173281061, + 830988627, + 695978989, + 846905594, + 721145678, + 510756224, + 467272661, + 769762270, + 523636362, + 673605071, + 641043672, + 590034667, + 772854796, + 938943598, + 547426985, + 254491766, + 501178618, + 177416255, + 825361164, + 34815177, + 449638180, + 174911001, + 501447468, + 512828912, + 341285144, + 344359783, + 576074197, + 913849585, + 207899745, + 720944505, + 666483169, + 267852718, + 25184021, + 72214146, + 913460738, + 716315843, + 582704602, + 139527057, + 194090549, + 667803162, + 976906640, + 335051167, + 817145750, + 861104511, + 190788338, + 568443359, + 793546061, + 67955850, + 645797138, + 297456168, + 462934768, + 528562812, + 790199250, + 958239958, + 575191807, + 858772587, + 30848023, + 698502171, + 668299072, + 165842207, + 845955454, + 912517236, + 383700310, + 865379880, + 507401442, + 438831369, + 761926130, + 818389257, + 287294174, + 87140657, + 51031261, + 554711503, + 101929939, + 29117506, + 554037463, + 807331168, + 668692818, + 18987664, + 807178993, + 257773416, + 858874415, + 907912829, + 68353, + 376100604, + 36135161, + 205399011, + 794573956, + 132655420, + 929044057, + 103484174, + 264933920, + 241963438, + 390128691, + 131727401, + 891818842, + 380653782, + 424036044, + 750689140, + 313280798, + 159118049, + 767204834, + 316241615, + 288378557, + 743423444, + 588801799, + 41574277, + 716344635, + 955069987, + 83979304, + 931847016, + 382153601, + 407517223, + 486743294, + 313929828, + 871591406, + 946712695, + 287892013, + 988656924, + 517690992, + 92470230, + 327528683, + 778976042, + 746690211, + 785948116, + 306413103, + 579966325, + 74269445, + 681277427, + 967012008, + 451371480, + 671029794, + 320073901, + 522310164, + 476177866, + 726815925, + 676188664, + 962201388, + 394948713, + 40819039, + 555469125, + 244769131, + 773174749, + 682308862, + 363034845, + 380280564, + 818714433, + 909003905, + 497634380, + 255580416, + 197230403, + 382868310, + 708344239, + 597555315, + 727419602, + 173559312, + 719483213, + 478438391, + 865806353, + 813666220, + 619905416, + 185710089, + 464344289, + 508100892, + 421434456, + 861675336, + 882066241, + 518005474, + 207866915, + 902107627, + 470228399, + 876344503, + 284327746, + 276995605, + 807950067, + 157278841, + 797490110, + 4318800, + 979706900, + 975161979, + 108085643, + 683530388, + 619727982, + 125393545, + 269000322, + 146545772, + 93321641, + 966940616, + 610229022, + 552020660, + 967631481, + 508325585, + 828406570, + 854437374, + 587553575, + 603566518, + 691648842, + 425491557, + 924610976, + 846353104, + 754913294, + 789764036, + 403013936, + 571715756, + 66521120, + 305571473, + 816554478, + 639773753, + 27330548, + 607821141, + 599756211, + 759617660, + 47933479, + 617397433, + 270978467, + 592437766, + 189464596, + 900039752, + 387842213, + 616195169, + 509392946, + 528987973, + 502224993, + 761059692, + 756699584, + 685902791, + 992268991, + 41870877, + 632578205, + 262155416, + 257478846, + 558436028, + 971893265, + 750985053, + 774569189, + 735338571, + 625886341, + 120948397, + 652204704, + 351926629, + 57787725, + 781755630, + 852095836, + 631986123, + 468418515, + 622166523, + 121175670, + 618256315, + 795064942, + 62391244, + 75052207, + 330593728, + 774438442, + 901635317, + 995728790, + 35449154, + 977756089, + 102222121, + 536299436, + 540336919, + 665274156, + 275895242, + 435190332, + 720410208, + 51516113, + 107847961, + 617865613, + 603041039, + 97554505, + 449853057, + 992863026, + 840853492, + 287108516, + 804613569, + 536006520, + 772405165, + 620211195, + 232413628, + 128811559, + 122881008, + 991376475, + 875267741, + 532113662, + 321693338, + 975641371, + 828848217, + 518673573, + 650212667, + 950702252, + 866785110, + 902089554, + 923694752, + 421682746, + 444991769, + 780386297, + 568398661, + 760846942, + 669726259, + 424324973, + 890220435, + 989005638, + 951243561, + 571152291, + 640320153, + 129189337, + 879292177, + 758013977, + 118523487, + 947449045, + 641568029, + 926562039, + 538009004, + 738974908, + 389545399, + 975850450, + 478549053, + 885570328, + 919903061, + 548839221, + 596395846, + 679356941, + 528544934, + 664668733, + 701827492, + 117556191, + 179941844, + 433181650, + 774470648, + 30854782, + 290528406, + 468734480, + 712337616, + 772616748, + 215428280, + 99089571, + 515908312, + 406120275, + 207769475, + 33563275, + 406690076, + 113820851, + 891849259, + 609173176, + 75147826, + 140291627, + 326972887, + 769256361, + 681967320, + 276629243, + 286826516, + 64950423, + 269008316, + 809590292, + 850939526, + 58235649, + 614939252, + 424457157, + 647537659, + 358164984, + 259016052, + 303516427, + 785984454, + 601184931, + 106030312, + 5998727, + 524504942, + 812721732, + 461157005, + 178354396, + 152409885, + 516128535, + 430199091, + 168784559, + 662354451, + 655147867, + 408356280, + 187876856, + 333515959, + 601742036, + 610390451, + 196384652, + 117989949, + 650953252, + 319813300, + 23505050, + 304530196, + 313942510, + 485769893, + 830218644, + 231045314, + 619542891, + 437965636, + 44142073, + 930451503, + 187993125, + 828840567, + 914262260, + 213381201, + 733082963, + 858152055, + 15830047, + 71270292, + 220377931, + 40124663, + 849009757, + 819907193, + 791092435, + 939876008, + 65465234, + 933036655, + 414625652, + 450827207, + 656416985, + 13444627, + 598078943, + 677025309, + 361089149, + 752988884, + 834009648, + 861506231, + 770689207, + 884130674, + 177224345, + 126612580, + 789658899, + 197956090, + 915432131, + 567012012, + 625435560, + 39745947, + 113233257, + 216878086, + 764194283, + 997352143, + 992561115, + 413179692, + 741821098, + 72198651, + 845618824, + 137099838, + 152133575, + 981003388, + 545338440, + 188568305, + 41850756, + 84836088, + 485289799, + 256649750, + 815859077, + 68143914, + 698307063, + 341770448, + 831413786, + 624812339, + 839594974, + 54603881, + 827342920, + 371916940, + 64291861, + 272802423, + 595917184, + 744552636, + 145634024, + 525806521, + 273973587, + 25103711, + 357701569, + 980437449, + 11070297, + 517708261, + 321408826, + 673471887, + 987678893, + 678824354, + 180931897, + 462753148, + 166585117, + 291764414, + 312377805, + 643609168, + 699621565, + 603420805, + 674729788, + 998413532, + 33125482, + 608908312, + 789750750, + 589034474, + 415906930, + 118897538, + 586005049, + 943865621, + 221449237, + 234385985, + 619537389, + 1186247, + 748847028, + 926973788, + 397884075, + 7631353, + 470189532, + 790612651, + 662590249, + 61841815, + 102404571, + 951719831, + 493833038, + 928184439, + 443559631, + 582039032, + 537321667, + 561701442, + 352735562, + 352281458, + 561924203, + 280540477, + 146829736, + 963498014, + 240636694, + 131357028, + 305241902, + 822732649, + 994638145, + 332115396, + 667609932, + 450752317, + 120435524, + 707879740, + 140088111, + 397844865, + 477290642, + 60185019, + 81319104, + 945057898, + 904560343, + 21211633, + 189105354, + 419211917, + 658739095, + 893774394, + 333034316, + 513776832, + 982939692, + 297688013, + 366356244, + 837697635, + 385102842, + 136481595, + 133364596, + 341798919, + 519790827, + 486874168, + 968104306, + 193761680, + 616547434, + 149414574, + 503670303, + 200884236, + 22111753, + 111156035, + 672306792, + 924894651, + 326363250, + 592093242, + 439239193, + 299249244, + 769820040, + 457033942, + 412266044, + 599768636, + 881067733, + 664392363, + 744229233, + 783673056, + 522971663, + 228860040, + 346009862, + 477608503, + 979729505, + 877812343, + 472043434, + 633095925, + 156513369, + 30062947, + 93285489, + 193316791, + 810704334, + 118258351, + 657248994, + 563149132, + 481417454, + 747715626, + 823544454, + 914145156, + 691603228, + 513384532, + 832889769, + 125946987, + 475227931, + 323210055, + 88918569, + 687479879, + 188136847, + 609867159, + 771171326, + 192609276, + 218324003, + 635857258, + 830657881, + 420054612, + 659122980, + 871737936, + 803841644, + 429712012, + 456911862, + 575360313, + 474394394, + 259342497, + 777085595, + 554873611, + 72962591, + 624853492, + 130894031, + 265773281, + 335423979, + 822523384, + 852360455, + 327410962, + 970159470, + 396262082, + 559115473, + 779473230, + 957412248, + 186592317, + 713599983, + 178937507, + 632714033, + 226757799, + 361460316, + 133814744, + 318035156, + 234564798, + 292069194, + 903468572, + 640668711, + 294600696, + 762345603, + 233738339, + 761018882, + 288143083, + 871731021, + 773927439, + 284535941, + 933853741, + 34432855, + 938049524, + 558738492, + 819107606, + 220280890, + 895246359, + 78828891, + 743247843, + 188567307, + 19833054, + 744596923, + 171180871, + 453784529, + 218020953, + 249620197, + 816791359, + 324420951, + 636927373, + 19054373, + 868174598, + 4355293, + 641901100, + 765856767, + 826232190, + 615251323, + 970684552, + 317949202, + 601216717, + 731741473, + 154589951, + 838303922, + 953724917, + 726742331, + 577700610, + 896925714, + 280269018, + 114304879, + 910803962, + 375596911, + 629852087, + 587446813, + 38935200, + 489862645, + 579644669, + 12283158, + 182627015, + 55840171, + 423769604, + 480578028, + 903644510, + 804091518, + 283620714, + 657356463, + 978530664, + 82336603, + 993304068, + 324122030, + 454509334, + 19895682, + 95719307, + 661256154, + 876394318, + 646208499, + 661968105, + 323498608, + 946548248, + 789816041, + 197474453, + 558898719, + 442635269, + 200139859, + 530812448, + 158576940, + 107653415, + 758942285, + 22710561, + 927179081, + 180345622, + 95202538, + 741789352, + 53378518, + 212105777, + 891065864, + 793237648, + 584039370, + 140370585, + 444473979, + 832823310, + 736340801, + 141431900, + 684251461, + 737884440, + 64600103, + 67493804, + 316947288, + 36127328, + 422846580, + 254806306, + 959974242, + 363084500, + 275016657, + 774677510, + 272530965, + 221088930, + 451929653, + 648398410, + 966212964, + 26514894, + 700054519, + 564060002, + 173154949, + 548896317, + 518853891, + 729528925, + 68639878, + 120838831, + 79695456, + 199013502, + 672718369, + 746464966, + 445915479, + 328105355, + 317515236, + 155510639, + 370953136, + 244418330, + 155775032, + 492062139, + 791604821, + 836361670, + 684943906, + 132293828, + 472738961, + 956607402, + 763133326, + 987520991, + 556938279, + 818308314, + 28933877, + 683792694, + 90657377, + 850189010, + 498898825, + 79206298, + 141403914, + 319375102, + 706272799, + 94896082, + 560374497, + 122825253, + 434254997, + 859064159, + 81524346, + 557043698, + 551688060, + 222762730, + 390892170, + 530719797, + 993640707, + 372561442, + 29421243, + 911054073, + 239218148, + 637355454, + 233682680, + 872032393, + 276706807, + 53544508, + 299315427, + 958134144, + 543418959, + 674184203, + 112014589, + 705022222, + 488743945, + 398360412, + 678835383, + 951879122, + 725768319, + 936183593, + 208857879, + 626302446, + 612272487, + 259795790, + 91089748, + 898979919, + 580266391, + 864820321, + 232922327, + 208846404, + 160817685, + 266315228, + 540523620, + 670384726, + 636421928, + 644561734, + 137590652, + 314421670, + 636809183, + 341291561, + 912864361, + 909035092, + 874725509, + 167396857, + 388937965, + 674225805, + 129443234, + 277501519, + 45687734, + 44804509, + 125744423, + 993152338, + 200780290, + 906659590, + 830761169, + 790566273, + 573912290, + 686982357, + 19702721, + 923276430, + 149632289, + 935500406, + 929691314, + 665773647, + 531790934, + 232851863, + 66213004, + 118340452, + 991017212, + 317358342, + 27956076, + 13221345, + 722612922, + 860850509, + 801955404, + 765265641, + 352886477, + 458462487, + 846411042, + 728413619, + 586491435, + 672498905, + 57657946, + 101828401, + 452917513, + 385957775, + 801297834, + 695327033, + 869245891, + 700454700, + 51270968, + 253608342, + 976897813, + 802284854, + 565513441, + 795363854, + 486709571, + 747292926, + 981950132, + 640455566, + 390422546, + 497852234, + 622592028, + 540218103, + 824887535, + 990218735, + 220076724, + 378928853, + 164268993, + 963462847, + 338301145, + 710065694, + 402185533, + 838763933, + 79744760, + 494361190, + 769798700, + 164005068, + 750199638, + 269746755, + 73842374, + 603921487, + 310664487, + 567517584, + 347681186, + 189504983, + 643868484, + 709403032, + 828820041, + 194735467, + 733367762, + 184887149, + 477372069, + 299675960, + 8395370, + 382433302, + 951552110, + 590678861, + 79736603, + 74348035, + 119686723, + 395283306, + 555304268, + 818358750, + 414511910, + 787750678, + 617950923, + 939761953, + 197890299, + 301290470, + 525957913, + 396360155, + 35399970, + 952798086, + 229542092, + 857788948, + 79937065, + 128834332, + 433649424, + 434552019, + 744753323, + 561411632, + 750224422, + 260224890, + 485434863, + 489915407, + 228002011, + 96170397, + 629148245, + 701504531, + 271199076, + 441768933, + 180546012, + 586874693, + 835613994, + 381225573, + 334856528, + 971472027, + 993979985, + 765012803, + 186741209, + 267675016, + 375423615, + 344462019, + 945720107, + 477099813, + 390480024, + 827151220, + 881236429, + 92694358, + 39222831, + 318843096, + 94939668, + 218005496, + 995327216, + 350509376, + 179925556, + 547187468, + 593585828, + 108462428, + 864505417, + 123803778, + 537407147, + 902546594, + 426357508, + 595603850, + 67493906, + 685464778, + 805734498, + 29267652, + 479914180, + 300808718, + 516732131, + 207787285, + 338333397, + 230992269, + 181632445, + 239965700, + 652089195, + 711660289, + 732537723, + 855328161, + 846496804, + 39567455, + 987601267, + 753259347, + 856128157, + 981658469, + 539032052, + 578720581, + 366695758, + 523439258, + 192537769, + 582806534, + 249448233, + 398800722, + 11904593, + 744753035, + 277834366, + 277865664, + 640915789, + 409827550, + 480624867, + 609199377, + 259918069, + 778018804, + 192594720, + 550083197, + 459102990, + 620972998, + 710971277, + 569069792, + 598425016, + 369472302, + 370395730, + 320248429, + 482728948, + 192468496, + 914458993, + 9448055, + 832636262, + 898183483, + 800795616, + 942917201, + 4171502, + 675058863, + 518298336, + 270953523, + 692933140, + 962958126, + 247754802, + 185611670, + 665355487, + 35326058, + 196567445, + 503295848, + 535368318, + 713870620, + 478393132, + 781202959, + 26932171, + 404173774, + 204331621, + 313197734, + 634064940, + 273637417, + 282415107, + 827912513, + 109472962, + 522836548, + 693224464, + 38963521, + 619693818, + 520992177, + 37552929, + 680292682, + 972624794, + 287322258, + 147238666, + 321437383, + 696327606, + 758818367, + 160016805, + 878925869, + 12232036, + 844254493, + 756327217, + 495109781, + 718539194, + 246368887, + 365815947, + 108668320, + 546530911, + 491436539, + 54860055, + 775855580, + 226825588, + 677154762, + 168226368, + 194776602, + 941362910, + 642540889, + 39026546, + 260070523, + 262362690, + 76662964, + 631651786, + 227657016, + 378186487, + 229236878, + 989379242, + 100917755, + 236384820, + 718486526, + 98491189, + 526679650, + 995479748, + 830769638, + 35052012, + 193365688, + 928948818, + 312013173, + 366819567, + 430026728, + 441858553, + 220322598, + 175797784, + 40192402, + 850835732, + 764103479, + 13976796, + 745377364, + 267069685, + 885060478, + 142932452, + 24981134, + 713758849, + 425227132, + 417418718, + 24979809, + 144916300, + 541183748, + 302538632, + 249791451, + 149887997, + 791852479, + 250211025, + 454652053, + 396037901, + 408639631, + 627742012, + 446095105, + 914119014, + 661316897, + 376249992, + 471397889, + 961580133, + 797649882, + 832328157, + 404357179, + 95927791, + 507276151, + 635029975, + 840460466, + 344025028, + 557406477, + 566976025, + 553558909, + 189784698, + 885377587, + 785833439, + 963143788, + 835949268, + 837171578, + 837423977, + 229858130, + 375827991, + 639086375, + 673938889, + 801036245, + 603150999, + 859533376, + 303693909, + 165750742, + 101736101, + 44962066, + 812183820, + 20034004, + 565676334, + 486500422, + 690784690, + 430908764, + 538504407, + 565550800, + 261329427, + 400867259, + 140344272, + 954963531, + 814216125, + 854893105, + 708493273, + 309518176, + 325039017, + 392223151, + 149890151, + 2570484, + 77396348, + 112383121, + 67587523, + 189606719, + 984286081, + 10166760, + 690285657, + 169310679, + 714521256, + 158809663, + 522340591, + 52186408, + 430506517, + 987408567, + 87113233, + 211123549, + 185813879, + 158283034, + 928075430, + 945123210, + 500851468, + 317679964, + 837704647, + 364615168, + 388497501, + 129241941, + 120158914, + 868595154, + 552526683, + 758938460, + 504245792, + 818237080, + 245788574, + 453509523, + 879584038, + 468810754, + 743811965, + 219249841, + 247350374, + 889753066, + 695800277, + 343905504, + 879294432, + 203697904, + 168219166, + 597661349, + 661033502, + 747619395, + 425538637, + 952013166, + 737783239, + 64076401, + 225877397, + 645018837, + 470710533, + 30345458, + 604724824, + 514154450, + 179065553, + 559238074, + 184571933, + 921495981, + 851729940, + 852213070, + 387918754, + 295228856, + 113748673, + 642756948, + 404121794, + 863041410, + 30895111, + 433582645, + 600631810, + 726972432, + 961953308, + 372259151, + 992163604, + 469363729, + 544273752, + 246564363, + 385234583, + 441290501, + 353763655, + 646584852, + 520957923, + 509088399, + 697769596, + 107512710, + 4353361, + 844157934, + 980590015, + 914136245, + 109198922, + 413173019, + 234614725, + 949018194, + 281787570, + 664332680, + 46659825, + 955705176, + 396404341, + 714363253, + 756514237, + 370869913, + 198185134, + 524712743, + 562167593, + 706474033, + 692673683, + 3809732, + 139830304, + 76213547, + 598174536, + 578784211, + 175345233, + 618963870, + 507984877, + 82378147, + 609994887, + 654865785, + 552906786, + 84050059, + 406153845, + 232576594, + 356103228, + 881031056, + 597717047, + 951336685, + 653059834, + 537505788, + 592946598, + 863313224, + 462700394, + 7565974, + 343277152, + 592645386, + 686038530, + 316418660, + 42996242, + 9544842, + 642464432, + 391747474, + 755309845, + 969359652, + 419591220, + 586192161, + 78992214, + 805986613, + 79730069, + 208597993, + 918611715, + 731757659, + 18826634, + 682042033, + 232716276, + 396031720, + 442476755, + 298880666, + 261047211, + 339889354, + 977439183, + 391157391, + 514563260, + 857666421, + 738865380, + 20010223, + 643077257, + 424662836, + 186173674, + 531908674, + 725421607, + 143866119, + 616830440, + 706274011, + 684212741, + 481249652, + 82076646, + 615961498, + 603619087, + 905454447, + 446357941, + 538427833, + 552945206, + 635370511, + 449884311, + 881629174, + 133868731, + 73319731, + 816768317, + 318225939, + 925045668, + 364365329, + 352874125, + 705448270, + 832345397, + 161884488, + 752991258, + 643223666, + 479447742, + 392808097, + 568145029, + 236564792, + 563145363, + 11329162, + 559998455, + 42620340, + 636917042, + 719262629, + 840578500, + 865164398, + 738510658, + 976784572, + 949309453, + 554113214, + 453351499, + 367772228, + 453494929, + 533259073, + 242062533, + 798294018, + 943075740, + 923180172, + 83939874, + 568960024, + 262031770, + 782220365, + 120180219, + 197144870, + 64152971, + 286540757, + 450966864, + 469826834, + 99317822, + 712705642, + 212853978, + 438061544, + 758011841, + 964545783, + 132561705, + 653980767, + 116042332, + 137792445, + 249676313, + 430785599, + 704223678, + 553477108, + 151752306, + 441922834, + 650473712, + 464364956, + 258429454, + 498005470, + 717061498, + 451978027, + 178490485, + 177951319, + 890135395, + 751590851, + 104446103, + 424704730, + 800268132, + 301414623, + 74394557, + 320262203, + 85469201, + 993202095, + 116676482, + 900417322, + 702319285, + 30570004, + 899554061, + 255572462, + 506014628, + 163532454, + 380831154, + 560198201, + 499231663, + 507143444, + 845662777, + 907027900, + 138931338, + 949806221, + 943769827, + 2215736, + 46251876, + 265765753, + 181135357, + 279941595, + 941179821, + 680561721, + 276131264, + 701635187, + 830568200, + 353128576, + 787489156, + 434323776, + 690788099, + 516280199, + 401746661, + 225390782, + 502213851, + 179692106, + 177258320, + 240766205, + 700086171, + 416523754, + 698553501, + 716007063, + 757476010, + 848256624, + 501024685, + 351017168, + 154424179, + 246356860, + 260450513, + 473867065, + 605971045, + 117848904, + 549608083, + 580437695, + 346687622, + 600824136, + 98200822, + 383148975, + 495291782, + 950988198, + 440667096, + 936190536, + 263662692, + 63976438, + 413731032, + 619267232, + 161865296, + 213801117, + 117814333, + 127553413, + 84077516, + 91787324, + 496779700, + 645084222, + 649752779, + 811877646, + 663949324, + 851837808, + 234264807, + 91544456, + 844165891, + 625508050, + 570001941, + 438685626, + 166151797, + 270611031, + 332019547, + 520211793, + 931438959, + 623793356, + 828576109, + 158931910, + 301086302, + 304624790, + 898976137, + 372475286, + 414998854, + 76392194, + 10942261, + 364804524, + 441096066, + 686718398, + 530138060, + 643042677, + 119856675, + 714395309, + 541344147, + 835831009, + 818553871, + 759409935, + 901041597, + 580490511, + 215116515, + 635850396, + 225158471, + 355850010, + 197658166, + 994010128, + 901611050, + 932090294, + 853886988, + 836009001, + 524090586, + 947234119, + 240267261, + 133484838, + 28553568, + 481248819, + 773823019, + 191506014, + 403878365, + 812342991, + 510446725, + 904172864, + 497303236, + 835549880, + 329273473, + 488602634, + 653834526, + 862666660, + 678105687, + 747480123, + 704765712, + 176726391, + 594735329, + 99126988, + 995329288, + 127828418, + 889169528, + 668889775, + 213081280, + 503982235, + 706708564, + 383441555, + 843852229, + 606104326, + 131256033, + 820404179, + 598403048, + 247583281, + 127339108, + 480251154, + 322927581, + 301723581, + 577295697, + 387665408, + 514942445, + 643216778, + 620869848, + 320750514, + 416484105, + 270791965, + 545472196, + 68129122, + 75267416, + 604055789, + 540910528, + 624866329, + 278088262, + 243841847, + 490716496, + 711533028, + 481946100, + 343911717, + 620439055, + 623832419, + 297267067, + 469038279, + 529927368, + 436585049, + 11833712, + 909982202, + 34258174, + 781700027, + 998665674, + 916021165, + 561839542, + 795864534, + 204750891, + 323214477, + 109227457, + 154098434, + 973449834, + 709356569, + 102676052, + 516217777, + 428886172, + 399369504, + 396035960, + 203623029, + 972093729, + 612430394, + 157282376, + 932588183, + 162156887, + 990154848, + 951852142, + 993162758, + 576253483, + 377961583, + 836965452, + 880023393, + 407489308, + 299540337, + 715701703, + 493016707, + 169987259, + 663646179, + 991747035, + 285966290, + 10881209, + 772726364, + 641075907, + 86610868, + 557725688, + 605000267, + 629609703, + 792030202, + 455585075, + 894841517, + 84867395, + 210497120, + 741696959, + 699715395, + 216307811, + 813273782, + 844125448, + 711432853, + 633480656, + 203545259, + 851135107, + 191160871, + 238186113, + 146273760, + 830123087, + 210204497, + 221851671, + 161074474, + 95102110, + 73398792, + 928805988, + 514041827, + 24322366, + 663909456, + 766390133, + 648073226, + 977715558, + 555466006, + 583066138, + 960107037, + 705858356, + 666770994, + 510721632, + 401444617, + 985344089, + 799915986, + 238989421, + 334312224, + 579003280, + 302286652, + 324524132, + 632520334, + 968144398, + 373132975, + 736127038, + 222602236, + 637863014, + 490958763, + 411682425, + 17203469, + 910858608, + 158670465, + 424598627, + 49331288, + 359767119, + 764806687, + 923262066, + 653991990, + 552449857, + 733903788, + 346404766, + 616817445, + 47838526, + 505961833, + 573074891, + 471554243, + 94123104, + 975392695, + 828700141, + 135253167, + 796258830, + 438811860, + 515451624, + 118734845, + 900296449, + 602881408, + 268991915, + 124542697, + 412433960, + 674133797, + 132905421, + 68634910, + 831201318, + 771853253, + 396633937, + 681971950, + 571952729, + 653920920, + 264232443, + 580300737, + 893917714, + 610777815, + 567083691, + 388705789, + 295387620, + 840648817, + 184936010, + 183745879, + 287055169, + 806197083, + 217635225, + 149883758, + 902963958, + 846785923, + 610350938, + 617197787, + 945803497, + 136861863, + 169161890, + 677975882, + 164624755, + 944044242, + 19957543, + 415490198, + 57393653, + 36715982, + 187497999, + 45111075, + 773853478, + 387154395, + 360360043, + 862195284, + 274977725, + 793492618, + 540575745, + 614592397, + 680486457, + 214479731, + 386528898, + 541677081, + 809936681, + 819008354, + 962126081, + 452209925, + 181351338, + 52892756, + 13239811, + 195175480, + 480412762, + 198047708, + 528466123, + 372411232, + 334592616, + 116281014, + 736125436, + 378555733, + 718676610, + 592941640, + 783917350, + 351998632, + 409903652, + 347660969, + 360571244, + 432794553, + 347056994, + 880076961, + 487749705, + 736609564, + 117775326, + 171628051, + 229799048, + 903381983, + 207526193, + 962612091, + 168899183, + 901788689, + 20427632, + 790541102, + 64875282, + 955855478, + 279699666, + 453410097, + 942480367, + 13325360, + 74420330, + 349060571, + 772683833, + 41449642, + 823383302, + 913903426, + 613203541, + 292779263, + 82245702, + 243572727, + 410688660, + 690454579, + 799154124, + 636959621, + 693333011, + 775309748, + 544538918, + 465911795, + 765535514, + 251901606, + 68253403, + 431237621, + 245557824, + 459316181, + 48023858, + 837930112, + 490725934, + 175665848, + 138239139, + 465252079, + 784999450, + 124160056, + 499610538, + 890691613, + 407589373, + 982146128, + 977752063, + 717271824, + 325677793, + 450896648, + 736488361, + 151056058, + 774963882, + 743115104, + 551403587, + 515423005, + 743911425, + 264563126, + 345228446, + 768733669, + 134291634, + 474457333, + 199802475, + 88158068, + 125853859, + 52136069, + 762301200, + 220702050, + 205736246, + 957710731, + 20753311, + 564530552, + 351922182, + 721206805, + 28972260, + 27710003, + 143360620, + 223744362, + 43906062, + 955513832, + 627038753, + 684329395, + 631869437, + 481393996, + 784587928, + 114535721, + 42100020, + 996456818, + 84694922, + 511018722, + 751206815, + 761067864, + 137600225, + 641111775, + 400462674, + 644787699, + 78924879, + 772419901, + 554237771, + 16846428, + 133411773, + 901394943, + 428591606, + 956403709, + 255620889, + 881209329, + 370536613, + 198051165, + 277835584, + 659144067, + 573423225, + 388248920, + 156312078, + 512999248, + 974642168, + 251222922, + 401449876, + 159806322, + 300767581, + 666871082, + 276530176, + 716573734, + 765561623, + 569161374, + 601834360, + 457970240, + 579941788, + 326580683, + 611670511, + 570015466, + 103589576, + 946169793, + 877053449, + 69370152, + 457304011, + 487634334, + 834295614, + 576839857, + 289466357, + 320427266, + 199675035, + 865842682, + 429652539, + 131074329, + 408875583, + 910387522, + 674069750, + 400107824, + 319442724, + 368652077, + 450603056, + 830764752, + 954252778, + 24031500, + 441792651, + 510337389, + 413014851, + 636685711, + 129555466, + 123373630, + 329737764, + 128732386, + 815366321, + 343374037, + 927129943, + 999170480, + 968164889, + 216382601, + 748043076, + 387492577, + 8063183, + 296266172, + 680623209, + 24161058, + 282181252, + 281976918, + 579580250, + 212833724, + 896386102, + 995161250, + 566258261, + 691615447, + 480178041, + 39586125, + 373238458, + 508059739, + 781040367, + 550279180, + 422969400, + 543006975, + 748756858, + 567076719, + 678360527, + 140170588, + 112767940, + 227563285, + 113638687, + 622873816, + 958564901, + 753791160, + 130425324, + 491039529, + 515134871, + 953446970, + 196652335, + 589391880, + 238761621, + 415772145, + 989401531, + 202073237, + 269687991, + 129947736, + 803878448, + 224511488, + 417423467, + 287303952, + 347286334, + 19666399, + 83864368, + 305009071, + 180263335, + 352668175, + 940888133, + 40675742, + 391780588, + 730928961, + 45264729, + 83617232, + 622678347, + 388182741, + 220801017, + 720535036, + 858195298, + 843312639, + 720679688, + 404606474, + 813793448, + 242656828, + 257221449, + 225263107, + 437151647, + 411881457, + 149706878, + 935498664, + 509761742, + 416589282, + 466429163, + 769381155, + 801997049, + 670418798, + 388386899, + 239043019, + 670692938, + 17779286, + 297338382, + 426407054, + 755178739, + 511157187, + 472906658, + 227303399, + 49674400, + 947414049, + 865783845, + 485591260, + 134576867, + 387586533, + 644470902, + 431048116, + 624265729, + 249109634, + 546290953, + 253433909, + 801376376, + 135987271, + 586879582, + 959656145, + 674200929, + 228201336, + 270785441, + 718704730, + 977039153, + 581670109, + 113875927, + 170847349, + 59547601, + 366351226, + 221462984, + 585360363, + 126246280, + 235047700, + 931978651, + 442385841, + 162490578, + 952617196, + 685655094, + 219379367, + 877964270, + 435883276, + 343593856, + 579458336, + 485107287, + 467181057, + 855665851, + 622149699, + 144791767, + 389935856, + 963362813, + 779131582, + 262828637, + 744343257, + 259042338, + 409929870, + 27463721, + 857614525, + 82170948, + 818887213, + 581145712, + 512442982, + 780653576, + 336936456, + 711793705, + 223200541, + 917524747, + 896910889, + 456450958, + 559101853, + 41199592, + 992446983, + 61184599, + 891313776, + 851136312, + 244399950, + 604280468, + 43129417, + 995337511, + 929130644, + 510115821, + 688828446, + 514158360, + 450314739, + 944869097, + 741251405, + 345398748, + 203899644, + 262453607, + 738877944, + 866266807, + 830825942, + 224065317, + 105020451, + 648412507, + 578190951, + 769636679, + 119071975, + 662422710, + 426164714, + 896102292, + 164860890, + 660360786, + 449482159, + 69947533, + 182212349, + 786506934, + 180900931, + 576930655, + 124362633, + 967465459, + 330041432, + 866043221, + 865500053, + 617563979, + 521516916, + 820809715, + 560538033, + 135649780, + 187751347, + 42310637, + 334763517, + 868157714, + 509671104, + 830154079, + 618022753, + 415627848, + 591726002, + 758407230, + 901167863, + 633618370, + 678201739, + 56720346, + 115689859, + 496826585, + 77974404, + 362696755, + 454370218, + 876137937, + 142556136, + 106089455, + 494117574, + 990871721, + 238158684, + 602007626, + 680810727, + 434662778, + 243808095, + 872203783, + 769805938, + 831052391, + 587106998, + 860166301, + 954345842, + 715542816, + 394000284, + 355675601, + 938401490, + 756963813, + 853077077, + 865264478, + 648603052, + 126692884, + 932218680, + 499605822, + 229487579, + 654857550, + 985425690, + 10724738, + 276811695, + 114947550, + 255923816, + 828721179, + 27216823, + 896690071, + 845970283, + 132657655, + 819198057, + 512479940, + 785436270, + 329167001, + 941262374, + 128236649, + 573170189, + 802845498, + 295009653, + 975167420, + 98135176, + 495201121, + 782752340, + 755799155, + 491065156, + 724469591, + 160599318, + 340215728, + 601092889, + 577843146, + 961966636, + 957205065, + 990169838, + 537959348, + 11612887, + 868186087, + 494604457, + 825666729, + 831777830, + 718412307, + 281755422, + 285271244, + 621642724, + 28552566, + 302018296, + 346794233, + 49618988, + 540897688, + 999356371, + 551308293, + 559293890, + 12844526, + 323880327, + 223564946, + 480215833, + 977244387, + 332881858, + 504240733, + 69078041, + 787734876, + 929822382, + 540957424, + 613615999, + 253609112, + 373826709, + 821468723, + 13749677, + 411366717, + 61577722, + 917737449, + 613228729, + 51114877, + 195397056, + 904188602, + 314135597, + 256327164, + 742182598, + 128189753, + 784471324, + 151028590, + 819791037, + 125121737, + 670106091, + 200267500, + 582098134, + 451128162, + 679993500, + 618174473, + 413276923, + 904864464, + 986498563, + 855830764, + 993218996, + 896467589, + 49984081, + 52890843, + 985408948, + 616151139, + 347950453, + 496060071, + 726543190, + 367472925, + 642263748, + 246497331, + 859685627, + 443491024, + 530737175, + 554145289, + 64284170, + 506393850, + 904673227, + 539339407, + 657919107, + 391777029, + 604242305, + 352129750, + 567645060, + 249091623, + 10920858, + 171940620, + 147819116, + 737814263, + 425568189, + 160210012, + 370335974, + 939803904, + 157837801, + 341913530, + 562763206, + 514188755, + 179849911, + 234163298, + 401256952, + 497116443, + 853686616, + 715279776, + 562928190, + 501162838, + 973989916, + 94088193, + 776711738, + 234318552, + 207846253, + 822616858, + 610266342, + 611041831, + 392711278, + 278213824, + 360777707, + 421842259, + 731241480, + 381976156, + 805763914, + 536749486, + 995929491, + 727855293, + 680077144, + 322194363, + 584584774, + 687501290, + 753199803, + 295218307, + 613572807, + 415442471, + 346245760, + 635292526, + 929931245, + 677645222, + 255646696, + 853111716, + 869110745, + 681244073, + 707863195, + 719935020, + 170070552, + 445712741, + 603368423, + 478656808, + 109199408, + 273269459, + 112034796, + 202495675, + 900009426, + 897386616, + 166292266, + 760855832, + 269006687, + 350203518, + 892493590, + 581403191, + 133115286, + 196970394, + 67208859, + 20895082, + 802587039, + 559784329, + 58232541, + 740283967, + 569161574, + 171566233, + 649260580, + 686409143, + 80509102, + 982351066, + 756005477, + 426015499, + 152288189, + 844021452, + 233671790, + 568674414, + 705966211, + 762784458, + 411796085, + 660834650, + 106660923, + 856357025, + 176632510, + 135497634, + 705294756, + 678143016, + 410081204, + 343469639, + 956883004, + 946833604, + 978049024, + 271338832, + 63285654, + 781751320, + 408883740, + 299782378, + 827816470, + 390967301, + 632309601, + 172327129, + 400236993, + 669793567, + 594358469, + 828832935, + 560348474, + 680432968, + 992538625, + 580106584, + 987477635, + 91352903, + 113817334, + 425905169, + 5653723, + 335592971, + 588135826, + 592940579, + 666667994, + 664088827, + 164324478, + 850008884, + 825729234, + 519811043, + 92006825, + 852420820, + 863721517, + 376603663, + 690434479, + 464782046, + 408435957, + 410076310, + 338495811, + 489271809, + 386145061, + 911776722, + 638434646, + 422353554, + 868841015, + 724580266, + 125907457, + 374837418, + 432785441, + 710424478, + 607439367, + 891399258, + 564675560, + 463930190, + 516043139, + 140634698, + 702682662, + 383077777, + 994197459, + 577236444, + 24068696, + 443869467, + 851456881, + 102680463, + 847931820, + 337042514, + 837031926, + 449968828, + 964609093, + 516117737, + 286941482, + 315552200, + 260913442, + 240655364, + 357835023, + 270122746, + 753464219, + 485731944, + 379260874, + 318064609, + 383026285, + 868791314, + 538794102, + 65776310, + 456507716, + 630318141, + 821749620, + 167427153, + 93048447, + 599408023, + 628216022, + 856626963, + 594304974, + 225072422, + 196987752, + 533896419, + 609144113, + 215422242, + 610416008, + 266486218, + 755165418, + 5588754, + 231084245, + 568783318, + 21760100, + 539772731, + 488989953, + 807191208, + 441198968, + 79166961, + 682344576, + 920874900, + 589886139, + 238946485, + 92701937, + 675021849, + 138188763, + 341554781, + 695630531, + 395579009, + 184090111, + 796722307, + 423905079, + 422644276, + 400353212, + 531181971, + 654947221, + 933331765, + 827287279, + 65953194, + 612137667, + 973975366, + 798377496, + 796048626, + 531447863, + 452261119, + 613202164, + 405945685, + 10768147, + 722264958, + 699967470, + 71196800, + 990273415, + 128104298, + 1572187, + 515484266, + 610907566, + 782502411, + 90041948, + 825266799, + 893689556, + 515354570, + 342078763, + 449937545, + 46788300, + 861384705, + 303644837, + 885858797, + 269047819, + 902492503, + 989784050, + 519012518, + 281685760, + 555853639, + 470795634, + 868702884, + 673481741, + 794973254, + 287187283, + 943280008, + 468439656, + 909599894, + 661092171, + 254121163, + 779225894, + 943947176, + 283135024, + 67542385, + 575081536, + 942400443, + 616103746, + 315264446, + 691245394, + 338765418, + 137392063, + 636714171, + 20742275, + 995482811, + 714270265, + 322940278, + 443839245, + 473931811, + 788983174, + 38511774, + 830262468, + 331502938, + 269736134, + 408612195, + 540769439, + 192165215, + 834113119, + 244589851, + 145004240, + 159187470, + 308416803, + 721038751, + 343015873, + 187278969, + 120578709, + 123453538, + 723929131, + 620938676, + 513423445, + 366545173, + 851100840, + 621427579, + 591865265, + 732891744, + 911635391, + 504657794, + 58146358, + 164737614, + 589526357, + 642411959, + 651820696, + 441501203, + 637106038, + 743793969, + 453307334, + 350327729, + 127529889, + 615521578, + 849842294, + 817072478, + 915440095, + 915563969, + 825798927, + 402915594, + 490641805, + 167457644, + 779031114, + 652959876, + 804992988, + 952977433, + 85826132, + 390335419, + 878555126, + 94106321, + 745667577, + 34070933, + 374438161, + 44552877, + 828935426, + 338114805, + 878905387, + 630196847, + 375650837, + 871288654, + 249628253, + 545675790, + 724260007, + 336614169, + 887648051, + 938953924, + 625724786, + 264448121, + 684029257, + 42731856, + 374024472, + 462460815, + 960597604, + 529835600, + 811144546, + 101648796, + 221582373, + 920543121, + 992634067, + 765449221, + 488362980, + 973315534, + 754584342, + 403655422, + 73020675, + 557887432, + 441708121, + 492233411, + 163047537, + 172823869, + 740713513, + 858680134, + 904597207, + 647230726, + 801804459, + 170743948, + 623846328, + 945051053, + 293709287, + 860723153, + 821292002, + 367822775, + 357843361, + 988234544, + 717761181, + 552859133, + 459818045, + 70414324, + 764625989, + 994660554, + 42457691, + 840115939, + 808752244, + 541396746, + 896248129, + 592444475, + 248802462, + 748307470, + 439783499, + 234642317, + 788640870, + 806063173, + 693323916, + 622956645, + 618331006, + 868382260, + 286735363, + 807452734, + 1831494, + 322175432, + 850358136, + 329771940, + 555357211, + 929364831, + 92271618, + 674502065, + 595080169, + 101648602, + 13692461, + 497376562, + 620798169, + 189312659, + 911448371, + 556063568, + 120485134, + 510864467, + 78599572, + 304043834, + 183408810, + 647152556, + 18582163, + 535397348, + 451877312, + 524303195, + 868238743, + 514247367, + 491921841, + 478987176, + 185089922, + 217882113, + 32154029, + 32645372, + 800168654, + 934941351, + 631765803, + 958833826, + 151128701, + 416507191, + 351424902, + 95976518, + 883379285, + 77454540, + 90522610, + 679638838, + 103816421, + 63693020, + 962122852, + 987055622, + 926360872, + 20774208, + 88699291, + 136109667, + 263104216, + 842969579, + 687452202, + 717966806, + 153686592, + 268752329, + 798632545, + 887611084, + 375968202, + 201387705, + 445333263, + 379971413, + 835221660, + 471428513, + 698194025, + 537166645, + 671246018, + 551999051, + 670385784, + 520067201, + 18254184, + 649611376, + 128601041, + 983389510, + 848108113, + 669402525, + 802408807, + 892717655, + 357844880, + 221175636, + 719960826, + 594868980, + 839371547, + 71482749, + 882682265, + 731491298, + 961802294, + 649473451, + 944500387, + 96698705, + 915752940, + 765778814, + 335203419, + 800969379, + 990018191, + 28869862, + 901944668, + 946148335, + 511877469, + 806225446, + 504945117, + 618041703, + 168106989, + 170224202, + 848004333, + 42630905, + 369316596, + 412867520, + 402788439, + 930143793, + 560205078, + 516097110, + 47310991, + 458717047, + 434761447, + 217986867, + 405158407, + 482483810, + 501229557, + 82557542, + 705132434, + 297499464, + 103847, + 654922936, + 370748456, + 612793768, + 177408662, + 902803209, + 662829086, + 107453472, + 587812063, + 296258828, + 137950578, + 873010851, + 662183253, + 396362085, + 484813478, + 6389232, + 864615027, + 920068008, + 177505851, + 574821480, + 783077735, + 274489798, + 258333936, + 186907087, + 66377494, + 237098834, + 790585734, + 399854894, + 156959830, + 978882095, + 205818092, + 706267974, + 259471569, + 156040394, + 995800449, + 362379418, + 518865430, + 492673552, + 173510066, + 926502002, + 4850915, + 678104611, + 348386618, + 351606762, + 271564106, + 5230826, + 473912173, + 640971245, + 586297108, + 410596950, + 522066239, + 254967840, + 641918835, + 455260747, + 41235756, + 27065300, + 96371202, + 382763078, + 130898242, + 604855435, + 292160718, + 66467040, + 324634475, + 200561726, + 44879055, + 696172916, + 339079082, + 158449969, + 803807586, + 472309279, + 99604716, + 49342924, + 415150489, + 920757689, + 75316062, + 854360838, + 136671167, + 341310932, + 357849806, + 334886161, + 218642234, + 274123715, + 871124150, + 750309254, + 468258313, + 348104506, + 975412421, + 582302809, + 130366616, + 567857022, + 25609836, + 308055698, + 326509327, + 493409306, + 130125066, + 846887654, + 608602476, + 863190692, + 466729366, + 120056417, + 466191554, + 841223939, + 467004459, + 207721624, + 778454369, + 109333349, + 122822652, + 110815381, + 474180055, + 629936199, + 13631685, + 77688366, + 931945301, + 444661141, + 413592969, + 546423107, + 861402383, + 280076997, + 788446543, + 717791870, + 661796783, + 964001009, + 150686025, + 250484406, + 731330428, + 425811355, + 118810566, + 387511142, + 953929342, + 276955634, + 979606099, + 470545853, + 211437355, + 837683813, + 120883545, + 755900811, + 309828152, + 338658307, + 837855228, + 377094933, + 592019364, + 623395790, + 106261809, + 668227238, + 963733491, + 665449596, + 140006078, + 732584940, + 502817284, + 734468190, + 922176775, + 633127270, + 832736107, + 954896342, + 105491157, + 47536256, + 509811800, + 436310101, + 225400667, + 999059131, + 206495121, + 270530629, + 924285803, + 469558477, + 972024392, + 638826172, + 307803688, + 210609981, + 889363455, + 513151769, + 630428280, + 545087571, + 564133366, + 884009262, + 530783328, + 448454371, + 272826122, + 524477482, + 883786649, + 974148297, + 221000849, + 212535749, + 996295367, + 922943409, + 893235409, + 375847468, + 931517217, + 140579008, + 118701344, + 904183613, + 805741520, + 573446906, + 198563486, + 709297168, + 714658062, + 371744454, + 141712512, + 273582577, + 537344754, + 816487291, + 805407665, + 111128174, + 864897705, + 313285897, + 143080484, + 600159709, + 260411502, + 851937049, + 578864434, + 6987509, + 180899473, + 864261480, + 397152742, + 44096061, + 901685908, + 634961620, + 538402591, + 348079279, + 793434643, + 559315147, + 399616382, + 806241820, + 96275679, + 95340678, + 854970309, + 563755062, + 730772090, + 19057344, + 202907651, + 367854990, + 748368019, + 548446243, + 703117609, + 893964082, + 916648413, + 757179633, + 362508502, + 411022593, + 702221998, + 289555465, + 236577127, + 761230317, + 90864142, + 804424730, + 231830773, + 404013701, + 21575411, + 828103781, + 132770371, + 250520445, + 551820924, + 445225982, + 963232197, + 704207618, + 155925033, + 563574677, + 394173729, + 590113805, + 513000087, + 72493086, + 399943929, + 232786968, + 233020745, + 146366806, + 509333756, + 67712378, + 865656825, + 787499691, + 718316945, + 170012044, + 178561215, + 6187717, + 989304521, + 617851954, + 592617357, + 647125336, + 39831771, + 191699611, + 964679545, + 512266591, + 890080878, + 29845027, + 80599519, + 627792001, + 168253028, + 471082912, + 516187306, + 555380899, + 761264117, + 562107546, + 603081773, + 759706778, + 953253095, + 252695570, + 442133684, + 291538349, + 616034323, + 555101288, + 116154759, + 655494341, + 987306407, + 167398405, + 313805093, + 125812564, + 804025166, + 119146628, + 921524933, + 415106267, + 699450195, + 585063801, + 105083187, + 103179993, + 831701738, + 65083527, + 890501606, + 723257832, + 403128265, + 675513398, + 928693681, + 234489942, + 493192486, + 644951015, + 958511751, + 91780026, + 492836745, + 516017701, + 991411105, + 502159308, + 65573484, + 736073705, + 83721630, + 554854396, + 615801963, + 830254765, + 419287575, + 71531643, + 145316977, + 5953234, + 984878428, + 5958478, + 767653192, + 69765561, + 866064157, + 100517817, + 436374222, + 744213392, + 850703306, + 459063239, + 490834774, + 218074655, + 503919010, + 524498853, + 163217401, + 872622980, + 738972266, + 508919929, + 185597033, + 476230551, + 187015624, + 359589679, + 719062191, + 204114833, + 210005049, + 532287004, + 745617921, + 205174414, + 654135254, + 143389168, + 143285918, + 745897274, + 91574410, + 740070416, + 806813654, + 959960762, + 534474811, + 324130264, + 433955674, + 83743968, + 115798870, + 204170071, + 911124473, + 992782490, + 397584727, + 289140431, + 90796386, + 981917511, + 613310810, + 368287370, + 655603775, + 212147659, + 831478867, + 527522006, + 347563522, + 952813334, + 832555491, + 143823113, + 778976664, + 507048630, + 991650215, + 834794626, + 957383415, + 538741353, + 669599669, + 721949440, + 928924344, + 820412715, + 359648348, + 296980747, + 296673781, + 203557231, + 750500086, + 95116466, + 978943620, + 742488043, + 193181395, + 66125604, + 724838871, + 892093404, + 323385064, + 775202645, + 578364831, + 790949704, + 132007904, + 651991843, + 27566159, + 870865814, + 696317730, + 825459777, + 620613373, + 660498274, + 485347967, + 179014980, + 479992519, + 438968610, + 165947377, + 547586057, + 717331785, + 778015918, + 739824756, + 888033091, + 308660753, + 292734602, + 349437478, + 896487128, + 585556918, + 4368643, + 112781041, + 519006896, + 349617809, + 746075483, + 869917694, + 248999853, + 878942712, + 34818780, + 8924499, + 389585497, + 14700458, + 713822251, + 413800940, + 859187465, + 730870497, + 309343405, + 903951097, + 299654501, + 35485800, + 386793394, + 500223649, + 592355845, + 171340083, + 194991175, + 263702661, + 547326774, + 342037025, + 700663182, + 640643752, + 755106537, + 64606153, + 912998415, + 541057818, + 821272097, + 522618014, + 635077119, + 406335705, + 169482339, + 577754541, + 547028214, + 566091516, + 927377676, + 434033893, + 841352554, + 776912461, + 617050551, + 704057162, + 777563926, + 767343073, + 579237171, + 200863035, + 266654105, + 931091602, + 848858707, + 58435277, + 476417496, + 361746404, + 873355723, + 230143981, + 595575387, + 247833505, + 480280841, + 853821754, + 870371100, + 118631591, + 801864093, + 393806780, + 201074315, + 95559659, + 92043410, + 690653170, + 29021302, + 318247683, + 685319881, + 936472164, + 395170668, + 494974680, + 469956961, + 135699347, + 284917338, + 662010360, + 223443770, + 736287867, + 533246416, + 875085386, + 750705677, + 948066842, + 342707089, + 945349979, + 464687976, + 645089433, + 254388690, + 229526915, + 19702356, + 449160710, + 147532796, + 80072934, + 550537863, + 359451834, + 268987766, + 742869714, + 716877429, + 901844286, + 71328464, + 724476869, + 739466572, + 125183006, + 63895764, + 938593885, + 869924595, + 481397714, + 648544074, + 179444622, + 737795986, + 286060192, + 819523374, + 615922312, + 242161826, + 164548247, + 415488641, + 734277622, + 736771957, + 176281113, + 868769390, + 160241353, + 123799421, + 983039895, + 468842361, + 745879856, + 212445169, + 986841578, + 193466893, + 68645512, + 215707719, + 62587197, + 781977045, + 104875318, + 104002903, + 356742139, + 179133845, + 595886651, + 940331889, + 752356316, + 793360406, + 466691149, + 283641502, + 481017365, + 882357875, + 259596164, + 578780503, + 802830518, + 331586276, + 105805103, + 86762051, + 770236173, + 856117112, + 797768968, + 521083311, + 368017840, + 307064337, + 202528900, + 153212412, + 348606926, + 767931534, + 911324104, + 562129742, + 294677794, + 605340488, + 335914873, + 629718733, + 761656219, + 599334657, + 807952957, + 500261897, + 538941354, + 404270912, + 75163726, + 646206179, + 113007956, + 15034565, + 765865793, + 432828878, + 528579980, + 935071531, + 5441345, + 892658477, + 524124317, + 709029789, + 972207681, + 856012623, + 599574242, + 194048614, + 514421465, + 625387639, + 121306242, + 196363314, + 558630420, + 380790085, + 217006171, + 436664947, + 178517152, + 747521116, + 590617007, + 320437541, + 129748803, + 466439063, + 984354422, + 591341975, + 811468058, + 863960287, + 350863909, + 26870133, + 116800540, + 201385516, + 825236293, + 830267689, + 982326710, + 721025283, + 925357580, + 899149610, + 134646773, + 197183806, + 131467992, + 163882496, + 756108813, + 723418698, + 328454316, + 271390574, + 541506527, + 328971182, + 515471040, + 372630721, + 120586683, + 905578323, + 961058400, + 124524577, + 919242947, + 950899838, + 731493056, + 223403028, + 568507856, + 162814962, + 922243874, + 634492609, + 693254352, + 374518011, + 958559539, + 777870265, + 999963579, + 570258020, + 82218923, + 348148182, + 999160936, + 302865939, + 2895141, + 836564971, + 478324626, + 265258277, + 571175425, + 185720148, + 742450386, + 318389562, + 685026831, + 144719388, + 514230998, + 222805693, + 450912345, + 741036615, + 629805722, + 650645932, + 616804566, + 422833893, + 522139719, + 223933367, + 298574858, + 581916634, + 997867888, + 972711823, + 246704148, + 285943955, + 719835532, + 16871216, + 302860592, + 533534432, + 163375680, + 784207651, + 326133399, + 481647449, + 212903947, + 637698021, + 828929124, + 639018732, + 202678520, + 601729385, + 209365694, + 462446915, + 347033958, + 100429171, + 413841950, + 115744729, + 784139474, + 617414456, + 174787055, + 758641147, + 231646514, + 524324307, + 431373272, + 78530762, + 416222699, + 120632316, + 402765731, + 925705600, + 812010576, + 640675362, + 453841126, + 643077563, + 100391697, + 895150350, + 18884431, + 770781143, + 233959873, + 211840359, + 703366995, + 454142762, + 683807283, + 12797375, + 194546604, + 439599005, + 174653792, + 632432419, + 684331318, + 595132702, + 727773633, + 546833873, + 934002311, + 783370837, + 69245561, + 760441067, + 685483524, + 848461277, + 908135486, + 926535366, + 650871529, + 875920432, + 438079853, + 40223898, + 419631893, + 201278466, + 692506120, + 463411904, + 873748048, + 775450678, + 23669713, + 787819789, + 727738336, + 256955915, + 59462329, + 774266353, + 566039555, + 708677781, + 665095786, + 27043998, + 269373692, + 126826124, + 197641360, + 335576191, + 565540913, + 270824504, + 306623760, + 78274323, + 805020688, + 304584936, + 407566469, + 921637097, + 263190110, + 642483460, + 567788112, + 958335374, + 597888384, + 585144564, + 596672686, + 365690253, + 547799534, + 537728422, + 975030759, + 675397898, + 545060276, + 556883943, + 709153779, + 870151682, + 716020453, + 184741470, + 572300541, + 28206807, + 16489295, + 769618223, + 507211926, + 147331555, + 805886414, + 516004932, + 846661971, + 279521165, + 924182045, + 285444265, + 148835582, + 558514447, + 231334068, + 261093528, + 50526602, + 241189350, + 71554144, + 974583780, + 931476517, + 477549337, + 976537328, + 230318722, + 948671629, + 710021283, + 241997541, + 201000930, + 207748484, + 191342710, + 497211950, + 687124841, + 666202894, + 79455596, + 927357622, + 803706141, + 507044471, + 890433624, + 362087713, + 939255269, + 943975618, + 603128659, + 611822797, + 536993080, + 293307231, + 165261329, + 170725509, + 611869809, + 721902697, + 977527932, + 799355625, + 913850654, + 422756901, + 483411235, + 316600310, + 248077831, + 152061841, + 919228294, + 974712707, + 776165460, + 532983923, + 312356887, + 215797277, + 785754902, + 960276867, + 214040904, + 753018336, + 316015000, + 941271662, + 855983207, + 81579854, + 535480668, + 662667290, + 89988334, + 710727630, + 211045253, + 473026046, + 44612662, + 174459135, + 735202536, + 178716966, + 221384851, + 816126626, + 378442327, + 45503075, + 228016206, + 149554491, + 158992587, + 655794243, + 981813552, + 662698712, + 977567821, + 261040223, + 904318693, + 430321192, + 221610438, + 466682696, + 896160328, + 905653624, + 22203059, + 983982860, + 787394226, + 191829527, + 662409791, + 190080060, + 822870208, + 423341044, + 212489454, + 898371169, + 244743086, + 223192387, + 17991093, + 438190266, + 931216258, + 839434883, + 657080491, + 214517039, + 775523539, + 978189241, + 257241379, + 53532759, + 883510945, + 236810755, + 45076858, + 134227463, + 750047025, + 161338165, + 186260324, + 699756906, + 332456529, + 836955508, + 693801155, + 381241869, + 165192556, + 12776219, + 768142636, + 242642522, + 188996082, + 347476786, + 953201610, + 484524797, + 320812346, + 636690132, + 449742791, + 983884471, + 210689776, + 307527447, + 74133683, + 127557152, + 166698810, + 559217522, + 124424893, + 479651802, + 616111733, + 409105638, + 655861862, + 687625640, + 653146747, + 698874564, + 904344681, + 641123182, + 301305347, + 250766918, + 182722317, + 39499781, + 475432396, + 118394986, + 670933353, + 370533996, + 707849690, + 788692383, + 391198504, + 180097230, + 711392189, + 643655493, + 808088640, + 13585317, + 238754624, + 303069482, + 643702159, + 941669454, + 758237172, + 41409385, + 887670201, + 8129707, + 614898672, + 63614664, + 755061232, + 337657509, + 621129166, + 461524193, + 203441772, + 341272485, + 600362415, + 732861765, + 989959980, + 872636705, + 220268626, + 405347546, + 311886874, + 246563312, + 884600936, + 185526839, + 877720335, + 772956078, + 183090423, + 795589681, + 865962481, + 170647263, + 454738801, + 798989553, + 887028107, + 697525115, + 804357730, + 592720519, + 136949865, + 129982425, + 507828228, + 1297216, + 619027139, + 146965991, + 959336385, + 542990624, + 852527870, + 469993187, + 993487976, + 437625545, + 859045014, + 781792831, + 971093766, + 223241000, + 78596226, + 343498080, + 885154924, + 685846626, + 602034056, + 329099595, + 964422698, + 224728250, + 410443364, + 289706063, + 359939421, + 239597446, + 26729057, + 353792892, + 438641288, + 78337642, + 797831900, + 927414859, + 190640457, + 697113229, + 967850109, + 208895249, + 994643003, + 161497627, + 509410060, + 242252424, + 901324021, + 632704974, + 470042217, + 660016901, + 987129384, + 408862682, + 984027052, + 56965958, + 688129549, + 489669566, + 285532497, + 621522252, + 181736676, + 310613023, + 166037227, + 674032520, + 329412385, + 883503915, + 972596839, + 843018565, + 449255215, + 713915945, + 945772195, + 460078018, + 169471234, + 391567834, + 228606240, + 156142118, + 229224908, + 375101730, + 278726818, + 602442879, + 529286284, + 777324485, + 734366902, + 484486300, + 973295209, + 767482156, + 619971794, + 308935146, + 416276398, + 34144513, + 751071749, + 268608950, + 864856911, + 829889140, + 258697061, + 942546915, + 209690592, + 43626553, + 955550833, + 267466057, + 874240666, + 98102614, + 330083312, + 417981837, + 381641556, + 312734828, + 253318650, + 610318292, + 432521338, + 222138046, + 738894232, + 292224810, + 394657839, + 535612442, + 425732983, + 738153195, + 617181610, + 841465301, + 861453400, + 441280097, + 632633288, + 224730120, + 24007918, + 867730228, + 329941200, + 618429553, + 593345751, + 538464982, + 175468013, + 412122851, + 665257960, + 63745601, + 474371634, + 235179452, + 50883112, + 884657204, + 31349811, + 682110243, + 359612849, + 46016039, + 664246046, + 792978923, + 734418939, + 330319038, + 98083339, + 490257748, + 32660832, + 816675469, + 805977380, + 121703767, + 644256305, + 818684943, + 36878100, + 652944991, + 997784578, + 395979868, + 468021195, + 502022376, + 979825513, + 209322054, + 794818890, + 683064929, + 830593927, + 223724496, + 513043808, + 300343163, + 397432583, + 441068104, + 8684197, + 907090308, + 12080615, + 596281981, + 547872157, + 520791114, + 492952726, + 528379040, + 620331641, + 914028092, + 889170033, + 948870172, + 332131555, + 777724090, + 38375371, + 33216854, + 771762233, + 736321489, + 389555137, + 262411708, + 847622342, + 520412622, + 8416064, + 563337376, + 382982057, + 37771547, + 490582602, + 254338909, + 636591633, + 318669368, + 560757503, + 366077053, + 21804197, + 670022231, + 844946034, + 846183793, + 236857304, + 987045422, + 406294830, + 747913598, + 922090014, + 651561737, + 757028211, + 106770556, + 424280244, + 802253198, + 448972592, + 377995719, + 828929417, + 187674371, + 973915261, + 142048943, + 942439303, + 795300611, + 13106512, + 366923747, + 16213284, + 465928878, + 628599964, + 693249313, + 520057223, + 783315533, + 547275049, + 250216341, + 325720216, + 4661181, + 66072140, + 534929085, + 709223077, + 147945553, + 95767723, + 418429198, + 299580696, + 348179271, + 415077091, + 220235705, + 243306392, + 256444708, + 306780574, + 931887481, + 414765026, + 399485389, + 319911036, + 241537989, + 359549167, + 403511810, + 215575485, + 933543673, + 264108189, + 451033062, + 720271351, + 618272531, + 740048011, + 782591297, + 104848746, + 494673301, + 682031218, + 647816889, + 477582337, + 543664352, + 959746321, + 149165741, + 691104653, + 850753575, + 936078986, + 820761350, + 318530856, + 295930250, + 196693812, + 509773235, + 35229825, + 578492018, + 983789079, + 79034151, + 719928147, + 986718122, + 95114209, + 997216010, + 376115654, + 439844770, + 705783596, + 276669753, + 580382552, + 263414678, + 118771689, + 615523865, + 141409699, + 382611395, + 955547095, + 388551877, + 693127514, + 620204267, + 739970174, + 327087136, + 519264664, + 700148917, + 677165594, + 394692344, + 241722269, + 513074597, + 983037358, + 37097385, + 352514861, + 759540396, + 794496762, + 886778205, + 814006141, + 358843104, + 1738787, + 50110608, + 617963322, + 527472002, + 821327695, + 944814784, + 52323909, + 336175034, + 860714368, + 891099840, + 27832029, + 811480796, + 35926226, + 18907073, + 129395552, + 420878383, + 937631977, + 371990310, + 10377648, + 318638594, + 959864480, + 503119743, + 821717342, + 772921635, + 372163021, + 277041834, + 22822333, + 441591535, + 878640339, + 590861896, + 663631191, + 751872740, + 237784893, + 140115458, + 208617699, + 202264090, + 355223675, + 663850511, + 482856396, + 75157493, + 337021868, + 653652282, + 446246632, + 758061472, + 1396894, + 908509532, + 959977471, + 771380994, + 105716258, + 885095861, + 878513929, + 443626711, + 531813337, + 478660090, + 886385283, + 193468745, + 625513704, + 776046710, + 647726649, + 797136983, + 664501404, + 527822357, + 718299999, + 370602316, + 190875161, + 393854664, + 152976170, + 612732544, + 284346147, + 961431200, + 758229293, + 577116988, + 863659902, + 167199896, + 42759500, + 300286355, + 708082604, + 805071668, + 559902144, + 655487483, + 107189914, + 496881845, + 11181170, + 789910964, + 459926857, + 364460032, + 834312252, + 818181481, + 809912154, + 820980270, + 130540342, + 294736623, + 255810137, + 917200433, + 600299393, + 639373563, + 180590444, + 743978679, + 454530819, + 796013151, + 366632222, + 710626188, + 621158264, + 413763796, + 251713013, + 615627531, + 37204100, + 994972589, + 850440448, + 94197712, + 941518615, + 866514857, + 390773380, + 416669172, + 281280817, + 869075152, + 178140304, + 809064971, + 13559380, + 132758677, + 84146393, + 756773628, + 564455727, + 383416607, + 82349518, + 244658090, + 722401923, + 88100720, + 121091500, + 241758431, + 648455974, + 11696492, + 267470993, + 538729712, + 493853020, + 274408598, + 696966688, + 493459778, + 808195637, + 225538942, + 942015422, + 362429390, + 598407105, + 733628757, + 104017402, + 921002166, + 334543959, + 384775083, + 499811151, + 783423012, + 387187956, + 969440332, + 993607801, + 708768854, + 488511485, + 87399400, + 472706349, + 340963897, + 803593702, + 86789879, + 21951242, + 879279283, + 711848219, + 573632171, + 760241672, + 945271241, + 476087930, + 351107519, + 547459508, + 725837858, + 403014207, + 337794687, + 179619366, + 551179103, + 450430038, + 254139928, + 759089942, + 247062252, + 368662112, + 294300631, + 664023269, + 98290852, + 949298713, + 966356642, + 78637562, + 388519799, + 226326651, + 43513139, + 179217101, + 137242286, + 359455725, + 864428453, + 300312711, + 84249141, + 330823060, + 416476126, + 532014793, + 902418473, + 533746810, + 80254927, + 477276952, + 652646015, + 252770320, + 519466815, + 363001835, + 111023993, + 111912337, + 460729892, + 173186665, + 182133752, + 868903867, + 424252683, + 526255478, + 258911605, + 340974214, + 739864831, + 404195383, + 660755039, + 786497928, + 813096237, + 817263268, + 423994895, + 407555294, + 841307267, + 381694361, + 621633639, + 634272723, + 4656833, + 756165838, + 665238163, + 565983613, + 243806279, + 650063084, + 317867428, + 538176822, + 7060021, + 285829435, + 155868153, + 711156217, + 707537726, + 371540346, + 75576866, + 48652299, + 660494545, + 940884576, + 185911222, + 71504773, + 745619449, + 28252421, + 9731328, + 625137352, + 852526637, + 272817457, + 61361065, + 431060959, + 886397484, + 37675059, + 510213010, + 495999201, + 981745649, + 84242920, + 220215147, + 907820279, + 658040358, + 277975218, + 144019474, + 486298564, + 305514074, + 522723166, + 195186630, + 676045249, + 962465090, + 733298879, + 628253302, + 499306608, + 196602723, + 117262567, + 336467666, + 344378112, + 669094293, + 343783125, + 588977548, + 206667727, + 209623420, + 494782568, + 917686632, + 997652132, + 511452841, + 961251972, + 318659890, + 535664368, + 689356034, + 733290070, + 928322311, + 761127690, + 239287050, + 946614212, + 447656435, + 637591974, + 759526532, + 923679796, + 942706928, + 492584497, + 211037778, + 626322929, + 372222268, + 715622012, + 770367779, + 485727711, + 390213504, + 944891236, + 481503588, + 568212508, + 315838978, + 784029237, + 311893136, + 903027235, + 376497833, + 943928735, + 120684279, + 334840251, + 855998878, + 19308741, + 977962296, + 519262519, + 418634343, + 382399721, + 331123565, + 72024208, + 734818103, + 653069588, + 883902241, + 130732422, + 487040269, + 637715360, + 511870710, + 164631289, + 279352933, + 83844931, + 764929914, + 116995494, + 865459684, + 558902680, + 812631473, + 166523788, + 316016920, + 445456460, + 387194332, + 145466424, + 776797343, + 95226589, + 748257430, + 890850169, + 644204577, + 566745454, + 383268023, + 162381935, + 751983326, + 790349002, + 634465955, + 687059591, + 180685111, + 270822204, + 420862078, + 818348277, + 54974327, + 827940598, + 692786976, + 604303892, + 139587990, + 704560727, + 286178546, + 714998825, + 226062316, + 624047810, + 634281830, + 667471417, + 625790123, + 87903816, + 494010837, + 742279292, + 544230859, + 594181801, + 806137729, + 331785930, + 996469677, + 605689189, + 695958506, + 139838746, + 205924064, + 409330857, + 615124121, + 237597386, + 955813527, + 909748741, + 966517668, + 348291836, + 893903113, + 158649333, + 796098757, + 687957045, + 510907219, + 438495875, + 126531612, + 69349572, + 42310312, + 50620081, + 304175110, + 325432571, + 32025068, + 112392018, + 72923083, + 384469030, + 679262910, + 276054185, + 175176050, + 495843830, + 291775816, + 625752256, + 628108428, + 971495642, + 780604961, + 904706349, + 13719832, + 179158871, + 607808380, + 169099512, + 455606875, + 815528872, + 399005454, + 992980027, + 96048752, + 769282309, + 21666650, + 524664896, + 246438423, + 967954296, + 443966367, + 1999294, + 91580088, + 357832704, + 235863773, + 349568016, + 902719162, + 311593459, + 616705820, + 685177049, + 875218149, + 577179998, + 601900731, + 451625410, + 217823248, + 877760739, + 416077252, + 866596190, + 784066678, + 457536769, + 4269541, + 139711789, + 330380433, + 26622584, + 508552066, + 55797452, + 812125022, + 288607425, + 100250618, + 459231268, + 448672134, + 856370468, + 697179326, + 861369964, + 644427341, + 671512085, + 50052013, + 618828715, + 194770389, + 918661402, + 549810850, + 269661275, + 864514822, + 319725214, + 464940142, + 840289639, + 927625787, + 315371796, + 234319332, + 499969150, + 519720296, + 29118084, + 722122668, + 242957267, + 495275791, + 711660842, + 300197321, + 433098424, + 277598303, + 469902535, + 567613293, + 634622987, + 923900810, + 588829655, + 311379572, + 343808136, + 692471382, + 776143757, + 87530745, + 412585676, + 164002588, + 794404169, + 146735653, + 679297084, + 123702729, + 573993111, + 653801409, + 673411285, + 132180091, + 775029960, + 245790889, + 530850712, + 727129343, + 435730392, + 692905767, + 831162309, + 862594990, + 839874394, + 756322279, + 791045590, + 242322580, + 417714658, + 347624944, + 465124778, + 437997246, + 939077815, + 256498549, + 308593589, + 603376444, + 752670900, + 436924069, + 18666190, + 97205440, + 397293671, + 51097342, + 559807350, + 777792006, + 674592048, + 577341554, + 421493414, + 535327720, + 983563044, + 409122330, + 500567856, + 978408808, + 942814197, + 424679342, + 8593935, + 230400378, + 402986296, + 428644987, + 105542296, + 431129441, + 287231776, + 89772855, + 235762476, + 432987896, + 217024959, + 969518535, + 475363277, + 313814388, + 839326592, + 193670839, + 92652826, + 443641051, + 386465401, + 680220836, + 292276093, + 237174783, + 856960710, + 888959614, + 395004940, + 605015946, + 551803663, + 275257026, + 1827731, + 869840541, + 183548212, + 638692226, + 136915996, + 413571894, + 510664489, + 215150850, + 555890943, + 799245461, + 369455378, + 412838154, + 947545981, + 444612290, + 33330428, + 933573939, + 875777800, + 578511376, + 602914835, + 924876221, + 156225553, + 616176014, + 398034520, + 629858260, + 996265436, + 694591437, + 208349524, + 544048425, + 359973373, + 990314841, + 548444790, + 570798024, + 594781307, + 393784992, + 80862154, + 348122437, + 81752521, + 927145338, + 889252219, + 725189158, + 570937427, + 291452974, + 264563340, + 984044253, + 147047245, + 490033768, + 940523933, + 395577397, + 537845692, + 861512113, + 342357466, + 372810598, + 678874394, + 518863615, + 813197076, + 346997044, + 650224988, + 523504953, + 83989065, + 687600767, + 923016660, + 556406583, + 895746062, + 31388502, + 98911528, + 56761227, + 508747789, + 342505302, + 595812416, + 821159364, + 32426144, + 551008317, + 2601432, + 328090592, + 967245866, + 600109596, + 821450879, + 9463934, + 296011052, + 605979156, + 951048136, + 680325869, + 149051985, + 272501962, + 558953154, + 624546146, + 488586788, + 923075441, + 434217473, + 525758976, + 135700150, + 134153249, + 589246060, + 193811489, + 345835687, + 116658648, + 864216186, + 798668852, + 186799154, + 347534, + 597858948, + 756679923, + 233240908, + 399188094, + 633932548, + 203882119, + 36641250, + 739541205, + 506716614, + 828051115, + 255383511, + 731799298, + 834568292, + 491150645, + 457818272, + 890667284, + 893838449, + 263955559, + 493879868, + 31337211, + 411525262, + 580296946, + 250611106, + 374910284, + 100024283, + 474677951, + 225514255, + 869864303, + 670280856, + 935441918, + 643457016, + 377299633, + 714115628, + 663020586, + 777578162, + 282872826, + 480849778, + 166958911, + 507652276, + 230247485, + 885312793, + 249693746, + 349327944, + 564201315, + 789019017, + 216283124, + 443773725, + 970770262, + 888559019, + 368244946, + 945076738, + 343133211, + 968256259, + 889832400, + 162256862, + 10942625, + 27562289, + 704150478, + 16993835, + 580813670, + 575410295, + 711429401, + 358367022, + 428059044, + 508540506, + 40510789, + 231625508, + 367024274, + 594443118, + 597205845, + 475960950, + 566097509, + 87720678, + 267307002, + 830859471, + 806120356, + 751635738, + 910482178, + 84977401, + 262774469, + 517074748, + 296555029, + 860652810, + 117444811, + 285489371, + 656799282, + 169771699, + 840205279, + 192048904, + 398889805, + 801663298, + 131327513, + 174483756, + 685605395, + 660814811, + 538884071, + 26601008, + 2177810, + 732061992, + 726739604, + 594341327, + 528923051, + 377090859, + 548970639, + 554860025, + 983186198, + 598626348, + 683287187, + 525495031, + 886573199, + 851107935, + 901335562, + 257166979, + 610506320, + 853864378, + 575326132, + 814541587, + 435331328, + 760617241, + 916907961, + 628608010, + 9687791, + 879447764, + 545908414, + 40594796, + 231292526, + 110314736, + 733070198, + 215418460, + 350626683, + 37392132, + 394696562, + 267604931, + 831261185, + 162845862, + 52289145, + 298389690, + 129490735, + 745817816, + 686384241, + 283045460, + 741462739, + 658743565, + 469970740, + 3733623, + 51131832, + 862575936, + 272872995, + 104586139, + 253041389, + 376741310, + 623148201, + 392806448, + 957312265, + 525920174, + 619771690, + 92517843, + 71998890, + 532525138, + 799836601, + 894761205, + 777944174, + 998119805, + 908067505, + 960907103, + 170467469, + 433412842, + 706408373, + 899318553, + 574232494, + 397668619, + 724395938, + 373900148, + 654359332, + 29190375, + 430689943, + 537324461, + 964479876, + 648687713, + 692959099, + 291549369, + 118351976, + 31468736, + 511944677, + 433038799, + 225827357, + 877420201, + 604202435, + 100372361, + 119560538, + 500305077, + 110890704, + 528926735, + 63898737, + 304887385, + 200351776, + 16622586, + 888390380, + 524418087, + 61720582, + 168980055, + 641537383, + 782928729, + 446275845, + 388706080, + 795672351, + 84196511, + 352867747, + 90387016, + 687357743, + 141535383, + 535897179, + 199150852, + 770211770, + 714930526, + 813753797, + 358169623, + 509583301, + 323800088, + 329081171, + 627663778, + 542629583, + 893572152, + 808897029, + 21676936, + 321444111, + 890040771, + 419031499, + 57174432, + 958086138, + 62970998, + 132639614, + 884649741, + 475442008, + 322484730, + 538916343, + 972659109, + 318991613, + 813558426, + 784412990, + 539734417, + 353766044, + 424146614, + 922987671, + 987832222, + 318773916, + 817435968, + 883342491, + 93313430, + 693726703, + 193940505, + 763490119, + 122716231, + 537459198, + 992797103, + 402758600, + 959698805, + 28418269, + 756829588, + 716934077, + 670044153, + 673016943, + 224754607, + 355654555, + 499097807, + 185270360, + 252683420, + 318046600, + 839557368, + 121355806, + 959136107, + 302058514, + 369294302, + 30124490, + 739053370, + 875762155, + 545584084, + 481945030, + 408573010, + 258169717, + 713174126, + 525403420, + 867728455, + 810101285, + 354039966, + 710174797, + 123925783, + 810675694, + 653673843, + 218459093, + 553352566, + 801447018, + 676904661, + 767484399, + 168613594, + 720748306, + 986259969, + 825187006, + 807808193, + 430305832, + 977061181, + 148655633, + 720982973, + 622445999, + 786052482, + 982197373, + 341724441, + 533375774, + 958630913, + 978810689, + 724908783, + 988443599, + 837509084, + 32219604, + 385431374, + 226358341, + 613740258, + 379769458, + 323042276, + 618754013, + 692011117, + 281179859, + 990739015, + 986516624, + 320044899, + 300192694, + 168176107, + 960975833, + 446091819, + 927535613, + 434451288, + 71538578, + 65848552, + 601136830, + 283724599, + 689202374, + 558353034, + 968919317, + 160357291, + 28771210, + 896752953, + 115432121, + 945712699, + 253295630, + 714189343, + 507578414, + 729906778, + 998674608, + 376486880, + 951255478, + 173019428, + 75626088, + 291330388, + 361215161, + 649997081, + 27545766, + 944048088, + 790642193, + 820770770, + 210794370, + 569317222, + 90303921, + 348507024, + 536809692, + 819514333, + 785653548, + 401859531, + 396594993, + 496173659, + 608928623, + 360190803, + 691586465, + 964987427, + 504737390, + 940541748, + 165090036, + 860558064, + 711731631, + 85488753, + 792807829, + 350476045, + 548948506, + 389287872, + 520203243, + 939426549, + 346554620, + 846130404, + 977352801, + 498043624, + 970801881, + 842514970, + 946335129, + 992910584, + 272740605, + 81806327, + 570216787, + 323149721, + 369041490, + 976835016, + 715962143, + 473490759, + 468502922, + 194654360, + 943208710, + 985654813, + 598758468, + 663693760, + 718579099, + 726068100, + 979237301, + 820548764, + 905598620, + 523878984, + 709621459, + 581098296, + 929715571, + 277182700, + 496801991, + 171039728, + 844699439, + 425838233, + 513537340, + 689629615, + 129970430, + 843702445, + 318946513, + 391733750, + 828383550, + 690096739, + 436054728, + 187810346, + 178389, + 457167612, + 936996915, + 551639640, + 5846035, + 860397392, + 36949753, + 167955141, + 551124183, + 684789382, + 80832814, + 120767799, + 748447041, + 464463337, + 393517151, + 298334742, + 788983270, + 963923651, + 721196022, + 623739990, + 62979180, + 799492302, + 280149323, + 680898054, + 768729512, + 397914353, + 339349649, + 89254434, + 650633299, + 854264318, + 9386729, + 96230876, + 287843541, + 291448783, + 913316075, + 756143629, + 710664248, + 792317781, + 100300069, + 338517818, + 470504383, + 237931559, + 641167002, + 902235020, + 472967571, + 641973029, + 587136478, + 53257935, + 338798995, + 262509285, + 506237480, + 11454084, + 72074919, + 356729920, + 279046712, + 893517716, + 958553895, + 151910978, + 750219293, + 791261489, + 510523452, + 218494203, + 756814018, + 708683240, + 683156593, + 459261790, + 723803377, + 430184209, + 98738853, + 809689732, + 390904412, + 558154883, + 16810141, + 177351201, + 949976257, + 818495985, + 977104639, + 531161826, + 160719882, + 242824412, + 567086834, + 757732385, + 194690372, + 30981804, + 647225383, + 330903628, + 95314536, + 580577116, + 703930795, + 70776127, + 108617582, + 192861382, + 57480222, + 330300381, + 273096522, + 286798446, + 784563241, + 633866021, + 840448211, + 833971239, + 532077371, + 34282928, + 584825606, + 771596988, + 830419943, + 276806154, + 446201731, + 134645697, + 806647140, + 585766932, + 396198879, + 450973815, + 678896424, + 88556859, + 216768618, + 9030966, + 377765831, + 831818853, + 661402550, + 113376235, + 170865500, + 73946406, + 145993264, + 944491310, + 416486181, + 965862657, + 853358054, + 720107105, + 807684122, + 840862688, + 831552701, + 150353338, + 289572399, + 771604333, + 957531002, + 642601263, + 252441534, + 813379727, + 333001789, + 799609735, + 969102360, + 800722971, + 359019986, + 180253457, + 282770854, + 517559247, + 264434155, + 584346127, + 384760024, + 810486019, + 406057963, + 232220164, + 386526091, + 180474093, + 879270738, + 320801874, + 807668896, + 30065608, + 49148940, + 409055888, + 290825524, + 938569767, + 381374941, + 64268734, + 449300468, + 217572059, + 32764480, + 907147030, + 763806728, + 963508555, + 894192635, + 667901383, + 187319332, + 63315270, + 904640673, + 186186258, + 848168570, + 29693325, + 31568166, + 707739554, + 921380400, + 112667663, + 772820711, + 531802648, + 380028295, + 712814889, + 695616945, + 73414720, + 862083694, + 868284747, + 48472463, + 880710654, + 636815059, + 603158531, + 811261678, + 362270723, + 968370954, + 295673964, + 213895956, + 13672225, + 658452344, + 185198747, + 10939697, + 111607572, + 132902160, + 871087419, + 719248039, + 991270288, + 529020287, + 982852062, + 601183052, + 457632554, + 26144114, + 382718073, + 484903874, + 277164567, + 345415366, + 380482255, + 915795511, + 213351207, + 412248132, + 833045706, + 16656250, + 494855585, + 432512645, + 752402418, + 903313188, + 116668958, + 390116708, + 83003780, + 371643102, + 733245495, + 56786792, + 598505650, + 908252362, + 310815448, + 911391064, + 841337174, + 720629046, + 37362186, + 246512286, + 864383596, + 239955567, + 572125433, + 727011545, + 889972784, + 421156585, + 696763820, + 43513614, + 768320761, + 140014801, + 733060491, + 352805615, + 807737034, + 643187100, + 960747867, + 644711498, + 524858653, + 434349476, + 333210577, + 524832081, + 233525669, + 141608495, + 507902054, + 211307056, + 515152835, + 999382385, + 700390881, + 50879954, + 914547479, + 511545823, + 93717192, + 129810177, + 177381126, + 380447798, + 917694128, + 680252483, + 139431398, + 662298739, + 729808606, + 791968970, + 454254072, + 228129159, + 644615650, + 688003839, + 150984680, + 186804538, + 647073938, + 449563575, + 225885461, + 650510806, + 655412978, + 318912192, + 909617993, + 810597461, + 214510079, + 942205639, + 380893663, + 151642678, + 413963359, + 289888282, + 183683368, + 898490576, + 14593444, + 907568468, + 612935153, + 349395179, + 339255690, + 723062246, + 17665630, + 536038589, + 600580428, + 706759499, + 237710657, + 48602062, + 163876870, + 644710735, + 902102474, + 969216310, + 903703587, + 516011592, + 283442362, + 933525067, + 795143459, + 322806744, + 417135748, + 142625094, + 489995324, + 627570474, + 914650037, + 435368511, + 590825506, + 915782858, + 425811107, + 282249650, + 654080931, + 989744328, + 41439886, + 285791079, + 681389548, + 371412355, + 680044976, + 973418393, + 339204829, + 281126655, + 8066977, + 636037358, + 374311292, + 420045245, + 957823748, + 793672699, + 131648991, + 110286370, + 684884228, + 640459948, + 671037555, + 942729905, + 749917081, + 332731366, + 341433391, + 856332981, + 717566720, + 176598030, + 561387074, + 260205614, + 791676625, + 977875312, + 158099195, + 932483633, + 661052097, + 75616315, + 402023943, + 622630966, + 966082147, + 114831530, + 368446918, + 983384961, + 107529112, + 151623176, + 347735278, + 976306294, + 833784128, + 504302504, + 471896788, + 281074202, + 753754833, + 50880773, + 191187901, + 794222434, + 763015896, + 740953357, + 213807339, + 587504997, + 336224476, + 356624371, + 463172081, + 556685452, + 806986642, + 684621910, + 685767379, + 133203477, + 896386396, + 172277519, + 953764759, + 279711630, + 988591852, + 383800093, + 393618362, + 744776328, + 988710201, + 777809274, + 474282693, + 292371774, + 655803016, + 427515150, + 200068539, + 536056906, + 267899770, + 978897615, + 932745638, + 23535974, + 911728439, + 135110054, + 101854150, + 827400101, + 981329957, + 168047412, + 66992994, + 41428311, + 139203394, + 572000707, + 850594011, + 912677251, + 149158682, + 676597898, + 570999380, + 258310731, + 948951857, + 352973301, + 656499135, + 462524481, + 52008397, + 309840264, + 74060455, + 816766249, + 502445540, + 978612904, + 367869586, + 141763556, + 284235098, + 125108287, + 699361872, + 314445990, + 35091782, + 7613634, + 206137822, + 231354981, + 607690276, + 742127027, + 96641129, + 524899947, + 728702811, + 924839953, + 287425686, + 969702835, + 833961310, + 857977531, + 729039394, + 407403875, + 224404625, + 384004608, + 335068173, + 952902123, + 697036412, + 866022476, + 8805393, + 18195363, + 608287548, + 192835053, + 230605879, + 649881132, + 547798210, + 68844484, + 803441561, + 229477871, + 838297731, + 862547618, + 211000726, + 99110347, + 295553795, + 578484841, + 616353020, + 861890374, + 609475303, + 442937948, + 315838278, + 191383817, + 498981832, + 723098701, + 877491535, + 862798902, + 60763151, + 586990806, + 808950578, + 642944658, + 516653324, + 11009758, + 970574247, + 281701348, + 657884340, + 134031783, + 444408013, + 392734749, + 641997054, + 427255170, + 342403090, + 879459562, + 991283817, + 554869371, + 897341502, + 537130783, + 134609461, + 866640280, + 773369730, + 990505085, + 357737369, + 862035498, + 754223881, + 204650576, + 489658717, + 599839898, + 221408866, + 875151890, + 119586588, + 616839026, + 631827160, + 592181816, + 514076151, + 863427531, + 735834407, + 958885028, + 355476397, + 807909950, + 442918088, + 245441307, + 904388717, + 968919259, + 738631437, + 242147484, + 66624870, + 300313478, + 300592386, + 509493852, + 306030235, + 990071527, + 866121822, + 704785869, + 855093344, + 985288152, + 978157199, + 106100404, + 800239170, + 433698139, + 269137109, + 476489242, + 56479193, + 745257585, + 402207595, + 999703049, + 189517239, + 481595187, + 976754521, + 908372202, + 77918038, + 215199638, + 852353644, + 991864228, + 173697627, + 604517310, + 207497856, + 764633311, + 966693628, + 949241644, + 172193512, + 392935787, + 400515113, + 270590491, + 365795203, + 757123802, + 824246620, + 486691927, + 624275437, + 851693753, + 992601663, + 257262673, + 165670786, + 387766211, + 798848030, + 509541284, + 658576651, + 573126393, + 103654910, + 550343325, + 34915842, + 187921791, + 893025971, + 534635790, + 754560061, + 682387083, + 352556639, + 427293067, + 644424007, + 807641912, + 156697438, + 588593467, + 815567150, + 559251333, + 627167377, + 171121396, + 352165490, + 156972319, + 998526231, + 80894314, + 375992578, + 777700068, + 942357362, + 63553054, + 136165269, + 404471230, + 991187489, + 886481513, + 374270943, + 808431138, + 690017518, + 709953910, + 974387008, + 45209372, + 280033642, + 24935874, + 134223175, + 74813421, + 571988679, + 101795767, + 273305871, + 590474190, + 793279387, + 327037430, + 974476626, + 618365560, + 907359888, + 971828562, + 910420034, + 403728229, + 726967423, + 624190226, + 648672440, + 164180821, + 991245222, + 859615046, + 478577875, + 322001978, + 878243800, + 127676739, + 699747955, + 25344265, + 845017156, + 433842728, + 31940292, + 642675248, + 640164987, + 450630488, + 372439814, + 199584275, + 247162042, + 355370250, + 219815792, + 819384742, + 977107706, + 612862470, + 705318466, + 677474842, + 357207313, + 173312387, + 385004993, + 652120036, + 606662918, + 472485912, + 173908182, + 103850283, + 656698187, + 26458390, + 662938914, + 219770858, + 359603318, + 320600395, + 812953112, + 784243307, + 515008440, + 192035988, + 97233275, + 62664174, + 44420034, + 756045242, + 697044354, + 306690774, + 967748873, + 650763199, + 456264025, + 112876478, + 227655047, + 714644464, + 759881671, + 415263421, + 145704879, + 265226236, + 179245300, + 584448338, + 786868978, + 777930829, + 816845311, + 457515499, + 6356144, + 384970527, + 973253077, + 154171857, + 457551835, + 996499984, + 175458671, + 315533653, + 118385025, + 686068090, + 128960988, + 136482992, + 825381546, + 458933728, + 826102058, + 536981578, + 925147859, + 488657133, + 243499607, + 76734917, + 130485461, + 196137242, + 714775894, + 213895668, + 964674963, + 158936017, + 651760668, + 69276653, + 957318116, + 332015205, + 541701613, + 9327603, + 332793181, + 364278566, + 335372252, + 864753442, + 89950097, + 965790534, + 252334030, + 294611692, + 426986254, + 893070498, + 63897006, + 72779481, + 926722646, + 271465376, + 203400850, + 532791352, + 661895773, + 299501189, + 830078238, + 952889430, + 704503949, + 268244967, + 360227433, + 138871662, + 999905128, + 929147265, + 206552001, + 124261396, + 290510500, + 845792959, + 465434092, + 457342551, + 504524517, + 504294066, + 476008084, + 580906199, + 776941451, + 898509124, + 22159961, + 190405551, + 733825520, + 577399405, + 742221288, + 117047792, + 718683141, + 573393974, + 675179954, + 79664439, + 840260737, + 942702021, + 425507550, + 841051000, + 415229381, + 150817953, + 472718408, + 888785269, + 10383905, + 423295280, + 140062946, + 581067096, + 205219547, + 606820767, + 290832609, + 617473042, + 930312931, + 442153357, + 58118983, + 864749857, + 750937094, + 593200634, + 674134571, + 24734862, + 775716824, + 694650418, + 912421190, + 385371526, + 76923387, + 557849777, + 434252555, + 952274832, + 788908359, + 256582123, + 778725243, + 210844397, + 575411076, + 231016532, + 199849448, + 720848558, + 820005705, + 364450693, + 764517533, + 488235882, + 851820855, + 405109715, + 277787487, + 147721503, + 544914971, + 491203230, + 697897250, + 300017663, + 887121662, + 481500212, + 510548480, + 717469553, + 454316318, + 588911962, + 66939277, + 136435194, + 738475200, + 555834576, + 749586347, + 793925912, + 542377600, + 725613364, + 526150137, + 349921090, + 246121008, + 643817236, + 641776021, + 257340798, + 762785349, + 566790695, + 975218974, + 720065834, + 598331602, + 693677126, + 694834118, + 299335997, + 691213745, + 924308981, + 900605984, + 12563288, + 252864822, + 4795025, + 231855517, + 889088813, + 424434076, + 789865225, + 978603876, + 508586783, + 956008287, + 884635739, + 304095507, + 876470102, + 531941854, + 794186711, + 318598930, + 570260988, + 864901937, + 554170521, + 679492880, + 169197213, + 21223631, + 201379034, + 318937622, + 506421751, + 459096078, + 918287107, + 605853777, + 544257612, + 528718262, + 65434841, + 424853080, + 172215585, + 885210109, + 873592285, + 480079760, + 194222640, + 650547659, + 316799650, + 651658766, + 401576480, + 929713423, + 939239356, + 163799335, + 790508583, + 566140178, + 135379711, + 647461003, + 350424979, + 869884378, + 253584236, + 914798243, + 900530967, + 121879908, + 618024158, + 991863649, + 824715879, + 960610001, + 876098450, + 792873602, + 889285822, + 48244229, + 137905533, + 194972363, + 995232400, + 323360100, + 996634770, + 45415861, + 627475156, + 91288366, + 54383516, + 815228673, + 311980673, + 278849543, + 119293782, + 773216332, + 958329382, + 774487099, + 840319937, + 724356825, + 134651421, + 625234433, + 224762057, + 540109041, + 986456775, + 574097070, + 173044372, + 688892911, + 836638986, + 503939283, + 952139913, + 255150014, + 939508698, + 925225447, + 759836046, + 588219392, + 106506049, + 750958346, + 387565560, + 9587423, + 441472422, + 733050538, + 807872632, + 627372907, + 82433711, + 907617479, + 977821548, + 932524446, + 159033448, + 657795795, + 364218784, + 7452197, + 70261052, + 327227019, + 240163647, + 668916487, + 852436194, + 720068343, + 768858665, + 125664218, + 47724672, + 881402304, + 630863796, + 943503514, + 152730682, + 295990036, + 178217136, + 119757621, + 883619189, + 333452395, + 231550579, + 958670728, + 501360412, + 553602047, + 59849587, + 788225878, + 156470367, + 278984666, + 596422504, + 198156000, + 279119079, + 220565538, + 295208193, + 468785881, + 989376477, + 536639733, + 587797769, + 829565916, + 665856423, + 773388263, + 491809459, + 544083359, + 484503272, + 266674446, + 732747022, + 422726996, + 618586808, + 970425575, + 285012304, + 953764511, + 654032233, + 422692043, + 201394076, + 993889648, + 72562110, + 266771542, + 899158118, + 67325674, + 299562366, + 996900181, + 579119656, + 315597886, + 475433331, + 605894978, + 894869178, + 69289373, + 166949962, + 945229278, + 995502918, + 77620385, + 894026647, + 1140180, + 525201908, + 958152543, + 161920162, + 47941701, + 509530537, + 753241634, + 626565470, + 291570224, + 574845715, + 806539822, + 485798031, + 579542283, + 335929098, + 850443702, + 735854197, + 78793918, + 695662296, + 389008580, + 975166401, + 126557359, + 667755725, + 878920818, + 822176557, + 335149510, + 416913212, + 176954486, + 375365867, + 204128446, + 126747226, + 971090374, + 262374833, + 865038902, + 59397185, + 473311355, + 737270652, + 515155925, + 220296370, + 328790490, + 769213223, + 238791836, + 411720090, + 767798299, + 874534737, + 690052515, + 448852897, + 111558252, + 781517461, + 70824242, + 555218849, + 163969758, + 99859162, + 655255794, + 31459848, + 536365815, + 152422368, + 219917265, + 219398479, + 708500052, + 614025521, + 618087731, + 227030371, + 452906413, + 520530598, + 395405120, + 714570567, + 858782670, + 875100007, + 28594681, + 590585990, + 475241588, + 908162505, + 658670905, + 510204037, + 15678560, + 635022879, + 97567117, + 17738315, + 834950235, + 483952928, + 586823646, + 519653674, + 517061577, + 523352893, + 273681271, + 339488461, + 888942365, + 469431070, + 336520990, + 741973577, + 948491313, + 970652124, + 942084193, + 472579232, + 652790494, + 980443870, + 617366837, + 805740706, + 937374493, + 898262045, + 233282822, + 376516786, + 471701632, + 410119332, + 395637425, + 707192300, + 817780668, + 656633447, + 441131980, + 339502835, + 648889412, + 386676241, + 716784576, + 786540950, + 53439464, + 327579616, + 338191277, + 47387614, + 80976197, + 646242108, + 770339012, + 228083015, + 776093508, + 294378752, + 94327186, + 520159269, + 411352320, + 225853987, + 39170003, + 733991755, + 893040309, + 900239556, + 141003937, + 793943664, + 163523360, + 245103034, + 905117537, + 463876886, + 723999852, + 40676761, + 698178233, + 281179793, + 755114713, + 966137881, + 373683905, + 554974332, + 274488152, + 586423515, + 388354970, + 800811027, + 483487994, + 102339506, + 255677212, + 46485530, + 340503432, + 168766321, + 582942662, + 182151811, + 869269818, + 720274937, + 413865913, + 311705852, + 752795096, + 225305931, + 767645282, + 879602793, + 981873702, + 633151794, + 464322695, + 871889403, + 120797509, + 557019306, + 162538943, + 207060485, + 974281350, + 743450375, + 385852862, + 633260250, + 842261591, + 654814907, + 285292685, + 171800370, + 381194895, + 120084661, + 703627110, + 285926371, + 530514730, + 387206379, + 281390570, + 170575199, + 702516668, + 105812482, + 372846547, + 147680562, + 165432477, + 831367530, + 609290036, + 590157782, + 950277372, + 679603309, + 825204961, + 764693296, + 521457044, + 465198166, + 930688062, + 727187334, + 816509530, + 962740325, + 369826584, + 726925763, + 54543311, + 582121043, + 478019400, + 847878185, + 46662299, + 625175652, + 827281549, + 402830592, + 358643268, + 865964286, + 207668915, + 321564478, + 324744944, + 19381972, + 558414746, + 627060711, + 437238959, + 678437431, + 56348268, + 38062589, + 904233036, + 281142684, + 646109706, + 45345272, + 755864105, + 588778789, + 584977738, + 96845958, + 589569433, + 961718777, + 559665184, + 604232887, + 314356042, + 901150853, + 884959133, + 688095791, + 177059026, + 962960672, + 951981738, + 700917485, + 684640743, + 609881311, + 5866040, + 781196069, + 910091238, + 899725556, + 257502273, + 71856604, + 342505075, + 434233161, + 61449295, + 174790840, + 983857156, + 207529877, + 992580306, + 220711322, + 953511584, + 153975731, + 357274757, + 303407239, + 959124204, + 342962270, + 751326366, + 284906235, + 550981694, + 532126053, + 901880569, + 202409853, + 50387041, + 848526135, + 180659014, + 462936616, + 86448329, + 805286929, + 432595240, + 139953269, + 23987456, + 909282381, + 456968555, + 233149603, + 986920265, + 292806821, + 647361597, + 109010573, + 84196307, + 910076493, + 17221826, + 831033961, + 414498780, + 855614469, + 11557460, + 302953619, + 107401987, + 405788525, + 280037162, + 229178834, + 511277053, + 551245746, + 735121756, + 694239103, + 249053923, + 32280602, + 990061944, + 393057915, + 283963231, + 267536251, + 258608188, + 524677539, + 259261730, + 92340883, + 129522353, + 88755555, + 582613026, + 970336595, + 324612297, + 394378180, + 833996358, + 54665420, + 303450036, + 563432515, + 19159866, + 591211177, + 656266471, + 355567531, + 899964335, + 784438194, + 673083717, + 226604012, + 644142670, + 5270117, + 525642091, + 353630421, + 848680619, + 186066950, + 480479881, + 828234435, + 575284408, + 293370703, + 819899444, + 413907536, + 794344062, + 690346577, + 369752653, + 309089482, + 238225664, + 121323316, + 37624528, + 668680676, + 281302436, + 326104531, + 742841720, + 809293233, + 27566545, + 249666650, + 162610151, + 840712406, + 51799936, + 144759137, + 145108939, + 669690204, + 125484174, + 301911372, + 553178437, + 656615604, + 573475792, + 526212945, + 237275970, + 578901040, + 538148928, + 764298410, + 650824234, + 831295213, + 620968307, + 523430535, + 775717986, + 407502645, + 750025151, + 778150837, + 259332986, + 803423323, + 213922652, + 213015998, + 952925204, + 4778185, + 235425962, + 256710139, + 32460460, + 866359548, + 449296215, + 784104078, + 332752071, + 914814044, + 938443974, + 203370191, + 814355324, + 509378241, + 956347280, + 989202281, + 278305900, + 973989630, + 673544508, + 132012989, + 791974625, + 513091592, + 279736921, + 802818415, + 169939530, + 339601069, + 507495300, + 790805401, + 591061974, + 626919325, + 679783371, + 988962336, + 216620794, + 236265932, + 597252954, + 395594014, + 280033836, + 474416390, + 634788514, + 920389927, + 192938974, + 602847991, + 413722901, + 448780884, + 953686715, + 804494288, + 186950156, + 55701861, + 636115082, + 354166339, + 282489905, + 9207792, + 197788341, + 673229655, + 125653912, + 319024504, + 188342261, + 955311124, + 504593987, + 414089836, + 738973205, + 72620727, + 607796283, + 796900170, + 501430097, + 900424001, + 851798908, + 418974087, + 444721669, + 377662481, + 432838887, + 559205089, + 534727171, + 48070046, + 899379919, + 975018995, + 744934772, + 440756132, + 750985430, + 70177720, + 267853929, + 653712622, + 921599967, + 331818032, + 679086634, + 150445478, + 901946301, + 127545865, + 668512036, + 931741287, + 241556819, + 719689734, + 364137602, + 53606727, + 315052832, + 171486700, + 375063986, + 552924690, + 403986359, + 883047858, + 30037072, + 370467725, + 975795756, + 206289139, + 990741558, + 861185956, + 498671028, + 300933860, + 807196563, + 803811048, + 884279796, + 749985533, + 964881722, + 681974228, + 745169164, + 188666053, + 397029756, + 535516306, + 138655193, + 957460599, + 915928806, + 979468529, + 390397629, + 974443578, + 217103168, + 143922150, + 846394650, + 220627051, + 240315661, + 92403626, + 935873286, + 361298821, + 539625736, + 188770673, + 891498722, + 420786726, + 512604613, + 590487653, + 665906781, + 169234336, + 911893821, + 565456366, + 842348452, + 293840968, + 177424116, + 76922978, + 598571940, + 689267581, + 401836141, + 724215277, + 169813697, + 511564131, + 663223201, + 331561911, + 690069199, + 331965540, + 959900942, + 129198797, + 873391339, + 957740423, + 695410670, + 678441949, + 334636047, + 271354556, + 680883260, + 702022173, + 829873591, + 116180875, + 347377518, + 785257163, + 310360502, + 748146261, + 693218536, + 349353757, + 103553344, + 15386643, + 215329538, + 25742085, + 782424322, + 793001903, + 886309013, + 78453845, + 654748408, + 485540354, + 300583553, + 643477137, + 814843047, + 488312339, + 422596818, + 533769993, + 624079426, + 376270178, + 885586631, + 910745121, + 406326706, + 651034229, + 945986871, + 390064788, + 321973268, + 183082176, + 486723422, + 992500146, + 513275376, + 381504298, + 941935378, + 622767573, + 566753028, + 114469196, + 695072566, + 177556310, + 749843415, + 894344649, + 612507419, + 43682101, + 16207285, + 68372558, + 720787435, + 333412195, + 812878450, + 648599748, + 505626768, + 850104833, + 789088845, + 227783436, + 245286120, + 259318404, + 457598721, + 72462829, + 502449778, + 962991473, + 269045645, + 323655169, + 848912997, + 583748577, + 969863176, + 33593903, + 600518228, + 970489235, + 635147900, + 791807389, + 183050226, + 936774078, + 121805868, + 250150651, + 90303292, + 149502165, + 197762836, + 636700465, + 780415384, + 215781252, + 518946395, + 60989490, + 557725781, + 110762453, + 813521985, + 793394695, + 136032405, + 498702897, + 561222917, + 814638836, + 126763465, + 887092034, + 657468523, + 60539862, + 275171972, + 394782715, + 203246617, + 591192195, + 517784145, + 485329479, + 960594924, + 67824617, + 985005383, + 645377949, + 265006138, + 965354193, + 493997765, + 225549308, + 424775398, + 873422677, + 100835877, + 523361186, + 634604850, + 679520485, + 343423085, + 610824136, + 667600080, + 711010205, + 677778021, + 465092210, + 577025022, + 367102946, + 544897681, + 249145118, + 483116080, + 930727221, + 121954705, + 320182857, + 106706148, + 231033, + 424160064, + 478510533, + 171317026, + 320023488, + 562993326, + 537271712, + 180066821, + 219321751, + 937130203, + 98536165, + 524648869, + 764828169, + 160172181, + 32557975, + 941423760, + 428433102, + 709936115, + 483515314, + 504702594, + 841976325, + 193967310, + 23549085, + 8961430, + 181825729, + 604676784, + 416747268, + 865733406, + 452134522, + 854334811, + 256469379, + 168972269, + 888333947, + 573935886, + 825508019, + 308822870, + 307969133, + 883590616, + 717092192, + 146609754, + 313399444, + 296960034, + 24908682, + 579015318, + 823745985, + 319639932, + 336437521, + 976261568, + 588170038, + 325088270, + 303886179, + 284628535, + 506179186, + 936850059, + 829888271, + 712020424, + 929266749, + 444552150, + 733340315, + 919067338, + 546155584, + 89169203, + 217145688, + 251909564, + 249068836, + 198166527, + 92825061, + 550770686, + 121525901, + 980682541, + 554282612, + 320540684, + 884866828, + 639489386, + 937583969, + 215136796, + 29878957, + 23722858, + 866591837, + 969035846, + 911591563, + 574422297, + 3424448, + 698748719, + 939135691, + 257455081, + 382762986, + 531509906, + 253866805, + 107510532, + 435157112, + 814573395, + 730396555, + 11367446, + 288942927, + 730005602, + 590175915, + 159950765, + 482870548, + 81237797, + 43009777, + 889331697, + 66071791, + 177439150, + 369625244, + 825303469, + 317217692, + 87361907, + 275282806, + 911375369, + 181630695, + 760677413, + 143260425, + 349107194, + 461224181, + 230162936, + 343052527, + 324486171, + 344254484, + 876831446, + 406207612, + 428205027, + 232961625, + 959374905, + 951668576, + 99168876, + 385564193, + 407321048, + 513667200, + 571263011, + 155320525, + 620274999, + 672963704, + 241177613, + 840198719, + 352430211, + 741407388, + 540399546, + 549524813, + 241608476, + 609089510, + 174041641, + 22863352, + 444665667, + 269539533, + 558653886, + 641643568, + 77483527, + 786462278, + 711697495, + 676134350, + 153560882, + 215030443, + 510248763, + 742331728, + 608695290, + 556874509, + 691199902, + 61154259, + 723627372, + 964369221, + 134288146, + 565414397, + 65185071, + 853027148, + 538756287, + 362477559, + 48799809, + 137714018, + 973993976, + 26328690, + 438449421, + 331577259, + 437490261, + 18946228, + 629779669, + 782384052, + 871068398, + 774582973, + 175763900, + 547228391, + 536115484, + 141842148, + 717751375, + 174254948, + 452864353, + 438088888, + 254558168, + 909196631, + 141585594, + 692792087, + 439956384, + 317450193, + 325075520, + 901431402, + 746887660, + 249061803, + 591630530, + 179491900, + 559256155, + 250257176, + 671019755, + 832424875, + 542730931, + 297195046, + 411014496, + 352333860, + 892517270, + 459728845, + 102660699, + 77582024, + 288041902, + 601380320, + 941858594, + 283104766, + 261574529, + 744829524, + 166667572, + 147760694, + 853988465, + 131583158, + 705417872, + 332985959, + 31651600, + 228868744, + 988847727, + 249160160, + 149749516, + 144102726, + 589848741, + 315115545, + 98882182, + 419475081, + 27046666, + 944675895, + 436442430, + 331603110, + 332114422, + 993305516, + 69896596, + 967646236, + 254361862, + 622197377, + 869499096, + 93472426, + 572269644, + 989716289, + 601598391, + 977281619, + 731819764, + 880190352, + 328537997, + 768896136, + 700445272, + 928631462, + 393585850, + 29728348, + 812426533, + 25323752, + 153063185, + 891776445, + 99893081, + 884235874, + 942110105, + 228468580, + 994506564, + 129253231, + 390953916, + 18956713, + 270731907, + 87896119, + 698763577, + 536883840, + 548939344, + 815266445, + 68367104, + 447943571, + 210655171, + 561780610, + 105806013, + 464039795, + 932069601, + 777513439, + 456513627, + 829042458, + 45366162, + 78136330, + 246532393, + 465887098, + 465510640, + 723310345, + 661234260, + 120274148, + 870537063, + 763813112, + 626785529, + 952109023, + 480432150, + 116967287, + 792320079, + 719301494, + 2562960, + 308461832, + 776856310, + 33352174, + 905337125, + 280530001, + 215534536, + 425102639, + 505942559, + 907743463, + 552188163, + 673654924, + 614388519, + 17324689, + 123425783, + 596552474, + 928485931, + 404729194, + 538704601, + 696403858, + 79257069, + 155092539, + 201693396, + 581717945, + 220712087, + 516336652, + 657741969, + 620468902, + 36503701, + 646270002, + 118949219, + 630301927, + 265156886, + 716485342, + 94510341, + 162426105, + 34925758, + 700869516, + 532221934, + 289924537, + 25312697, + 542009508, + 842707888, + 409246034, + 188797304, + 546508972, + 990265216, + 531527362, + 435479677, + 591428663, + 373630375, + 366037618, + 147901390, + 396575650, + 940847636, + 347720993, + 736378813, + 549533335, + 933870204, + 634418557, + 205184835, + 632869096, + 537709672, + 686821183, + 197977660, + 861270636, + 316866349, + 219725342, + 648924640, + 228880347, + 614947878, + 780479872, + 577552148, + 867139034, + 840425368, + 888775363, + 618096470, + 518842869, + 824075846, + 555889774, + 788070602, + 29810384, + 321309829, + 962525180, + 322804676, + 615799287, + 227944357, + 5096871, + 245564478, + 22278174, + 601731907, + 643940705, + 526482374, + 498828666, + 470779528, + 989898175, + 830983724, + 261406310, + 263130428, + 238194031, + 203996986, + 785641862, + 291558998, + 857064994, + 338952021, + 319498750, + 949619229, + 536948095, + 807497503, + 238075631, + 617561090, + 741574656, + 710491704, + 236997805, + 58180248, + 225886919, + 72716140, + 756120188, + 845102963, + 330451665, + 312121167, + 300878438, + 210005627, + 710288616, + 437587705, + 696407718, + 553144838, + 184840820, + 622600436, + 559368969, + 152790184, + 223648996, + 637999997, + 701809930, + 109109081, + 648032328, + 136301601, + 690630137, + 754894264, + 95822067, + 260494022, + 363595969, + 227177783, + 683689074, + 435737127, + 174966694, + 654311344, + 621832122, + 577605459, + 257565699, + 935377403, + 14124796, + 494646272, + 55985068, + 918180308, + 392412028, + 205007186, + 538662109, + 282510694, + 971558980, + 12096228, + 600081332, + 450100925, + 169902331, + 210253559, + 67816274, + 331325359, + 513039530, + 36454466, + 244533546, + 2101919, + 722357543, + 618167475, + 474432105, + 855090678, + 487737425, + 463139987, + 124570382, + 969499792, + 458320303, + 898733939, + 149514219, + 137209395, + 204918537, + 439489863, + 446528036, + 403153331, + 878643306, + 314766412, + 880861432, + 596514147, + 195771695, + 477183650, + 667937075, + 240759864, + 252652922, + 80341095, + 494616756, + 103901156, + 998436863, + 549896291, + 895602023, + 94994006, + 745094695, + 115399021, + 689264916, + 479973382, + 966450796, + 380279219, + 844280274, + 289884649, + 293909259, + 427405175, + 921481605, + 324484350, + 605277109, + 816242478, + 538349514, + 472056539, + 74244594, + 362360172, + 856552378, + 47347708, + 767980260, + 884441039, + 12736037, + 226673257, + 659524527, + 781807920, + 233917950, + 415472207, + 609642902, + 339714777, + 103029629, + 257708386, + 359518804, + 617050359, + 816504226, + 815883486, + 820533849, + 152197070, + 875101907, + 229351715, + 942582181, + 215575258, + 591935841, + 377896713, + 975732118, + 15726249, + 57722077, + 688250597, + 434330006, + 820368376, + 962872070, + 586161611, + 213874477, + 848139005, + 652950877, + 182491261, + 442379062, + 49782964, + 741332333, + 671167545, + 191056821, + 570274827, + 881408158, + 152443220, + 651692882, + 721325510, + 166658817, + 489621768, + 910481578, + 775827268, + 541741185, + 300159377, + 694718194, + 600324345, + 325169269, + 341642452, + 963081612, + 529915727, + 686071250, + 120684955, + 814294505, + 189067314, + 156488849, + 882801209, + 18639796, + 248021817, + 870014183, + 137571360, + 787544295, + 709022008, + 493683204, + 70426506, + 607733680, + 651452035, + 420879340, + 173019047, + 967604820, + 539748903, + 313081807, + 459827505, + 437591657, + 711491033, + 430692346, + 375674342, + 816240105, + 991666799, + 82734144, + 55838637, + 555254508, + 320739930, + 337067692, + 166344325, + 89210077, + 4611185, + 545297314, + 900648727, + 711594180, + 2007998, + 424197145, + 692767789, + 683386915, + 864907329, + 49009270, + 963129036, + 89151931, + 720844890, + 344842305, + 492171665, + 67697682, + 396976053, + 374952972, + 520940834, + 35243450, + 180391856, + 594160937, + 988791225, + 972759390, + 306035108, + 723030436, + 166351997, + 447616777, + 629178524, + 350975420, + 843358589, + 164566706, + 162998628, + 995087174, + 935274272, + 636258620, + 746045412, + 734770299, + 495160232, + 738369726, + 788703573, + 444024769, + 977058350, + 501457967, + 52504538, + 696008365, + 579759568, + 975733758, + 637184230, + 833981422, + 741546856, + 367691905, + 261757826, + 210256446, + 166072384, + 720181679, + 776864341, + 58690804, + 664574081, + 393847953, + 720940138, + 813443698, + 299935989, + 73993409, + 406635153, + 62828285, + 513242227, + 92633998, + 218041615, + 732702428, + 959863649, + 182580009, + 868842411, + 177596073, + 570261750, + 221555135, + 189694933, + 507406603, + 416872275, + 451038762, + 356395556, + 21406758, + 595651788, + 648616311, + 457167191, + 427602022, + 288767453, + 584139649, + 163737922, + 524761180, + 325425379, + 571259768, + 219047112, + 244474962, + 806476882, + 70950022, + 658599965, + 258239512, + 489901847, + 742094937, + 895265129, + 760891463, + 746769918, + 351027406, + 297694662, + 321611068, + 121742129, + 890136363, + 687465250, + 723685941, + 839362754, + 854477663, + 852766369, + 213892507, + 340525724, + 742112115, + 315502968, + 295399225, + 982768669, + 895005412, + 469984542, + 595750218, + 457298504, + 541564400, + 184505512, + 573173889, + 910298325, + 532688026, + 372973167, + 759907120, + 872637955 + ], + "output": 90410 + }, + { + "input": [ + 545474762, + 953787709, + 674751628, + 547108892, + 139086321, + 913984794, + 455213752, + 457371038, + 837804203, + 321301980, + 622340159, + 762005224, + 508473801, + 816102502, + 114924508, + 46789407, + 657987508, + 379771108, + 196416467, + 719296810, + 495054479, + 643462943, + 12654004, + 326443663, + 440676053, + 994855948, + 95788762, + 100456096, + 270977958, + 713933605, + 740874937, + 707881191, + 521361591, + 856258740, + 718514932, + 170403000, + 175385464, + 277230308, + 624255322, + 273359290, + 953643451, + 417501937, + 798361803, + 70944199, + 962379022, + 801126488, + 109005986, + 412779329, + 318426048, + 349405407, + 598302991, + 660867031, + 1287363, + 498039388, + 655636954, + 694997519, + 513650074, + 537106096, + 30938447, + 50239758, + 504254037, + 187552256, + 870317830, + 151919568, + 869264851, + 469086257, + 222105663, + 223490643, + 893523557, + 882450539, + 549267987, + 529469954, + 823331810, + 705347339, + 65639947, + 153171028, + 265941837, + 960051315, + 292768994, + 146881323, + 628344033, + 765468117, + 857907900, + 501562920, + 787517433, + 704861639, + 11308443, + 62725156, + 607283388, + 129346720, + 348144468, + 851306922, + 344199521, + 964292328, + 128065732, + 117805474, + 467572364, + 259778214, + 319062270, + 88533611, + 126196412, + 506345806, + 441891684, + 624403986, + 870190098, + 966167749, + 858664638, + 259225645, + 985568593, + 240806542, + 796991554, + 651969579, + 924176268, + 939796052, + 377908036, + 255806797, + 181631657, + 583668594, + 429223101, + 874833713, + 412446693, + 587837591, + 958218101, + 640627901, + 177088445, + 292216349, + 193286102, + 650633109, + 853390624, + 923312715, + 362299943, + 658210714, + 804686394, + 515526266, + 451181064, + 662930694, + 626753689, + 783555897, + 12400310, + 651814387, + 938473743, + 921168035, + 391708552, + 990604624, + 979125847, + 390093813, + 825136930, + 336454227, + 376681215, + 295643059, + 419679702, + 466493923, + 73261819, + 810794197, + 487436405, + 647687668, + 233793725, + 421738676, + 898054550, + 954533970, + 103780920, + 258582691, + 866068063, + 769182044, + 998691651, + 216046946, + 570575460, + 722218063, + 359388980, + 671059253, + 883861116, + 599293317, + 30980739, + 148289732, + 358975391, + 392969658, + 746363205, + 135600987, + 710084864, + 763429926, + 323673486, + 482258903, + 499559815, + 867845406, + 483136077, + 607104626, + 16356966, + 292267078, + 422213889, + 760807147, + 567904255, + 188239674, + 673159479, + 948735836, + 882373507, + 465742361, + 506189533, + 780640488, + 752952151, + 558539784, + 486650725, + 925079399, + 291818571, + 280039695, + 314645165, + 827470841, + 73409681, + 371218556, + 216918091, + 255693008, + 667729327, + 157759, + 84608120, + 127134321, + 619916149, + 327789042, + 29728282, + 876431758, + 885622384, + 482327881, + 339660627, + 352158148, + 589081320, + 396738219, + 42795378, + 803488061, + 611767376, + 960250059, + 684476138, + 197317093, + 950355897, + 406931811, + 24349873, + 970957800, + 768442025, + 754695890, + 945932300, + 136657174, + 741180125, + 807693202, + 787725639, + 360386485, + 206012637, + 519172129, + 443867048, + 81643105, + 299588156, + 218403345, + 21451125, + 616192657, + 846590558, + 443337316, + 869802114, + 421812875, + 185371674, + 257591463, + 625879557, + 78544716, + 480628532, + 627635990, + 802455816, + 921237920, + 487488040, + 561862634, + 230240853, + 773074864, + 390584721, + 232335660, + 652529420, + 448011690, + 8324566, + 335030889, + 806053899, + 940893509, + 619360012, + 723933263, + 972239726, + 714735400, + 402518771, + 742677165, + 71418875, + 296399566, + 502505589, + 827333130, + 921605726, + 143917835, + 854959077, + 895195342, + 46950801, + 675823938, + 793162894, + 446665270, + 69742208, + 418936131, + 335363404, + 614036870, + 478481976, + 971486173, + 535186782, + 838381379, + 554100015, + 598992997, + 696657391, + 870254447, + 711831205, + 176323343, + 417694819, + 151955415, + 167281484, + 448398683, + 486830952, + 593857530, + 34967712, + 824252004, + 711386403, + 402415956, + 308979473, + 623988414, + 297692250, + 684000792, + 801637230, + 25551290, + 47406041, + 339996352, + 578815397, + 997125839, + 346630568, + 445549892, + 536888157, + 712676461, + 893316267, + 811898762, + 232287079, + 341088297, + 772011188, + 693856715, + 506001495, + 856328082, + 847418912, + 575406390, + 596785758, + 774764468, + 889530908, + 966351783, + 882592495, + 340930891, + 553807837, + 123214609, + 654854481, + 978491472, + 773065653, + 776036754, + 434109022, + 219322095, + 716182903, + 628698585, + 585623443, + 125470931, + 896459871, + 730677023, + 486053605, + 365888700, + 828118172, + 896692557, + 241894416, + 63500807, + 721254487, + 117459765, + 800286276, + 329169937, + 139984775, + 456143947, + 224908111, + 600061356, + 619292656, + 58115536, + 820843928, + 685023287, + 906494665, + 480558257, + 17825086, + 621866055, + 279233987, + 655043510, + 803392170, + 251772159, + 759906701, + 444886526, + 703414433, + 85614203, + 449268379, + 293106900, + 620959312, + 845176523, + 389202392, + 788358775, + 593593095, + 922865226, + 225037727, + 183064595, + 289253763, + 118446192, + 657233912, + 364740200, + 980925159, + 693694199, + 889243693, + 403977707, + 849606682, + 872903781, + 665011827, + 343570614, + 694238753, + 115686435, + 386119859, + 540127512, + 92791100, + 810369430, + 73933972, + 311821610, + 477772414, + 927807719, + 897029559, + 742243851, + 677803148, + 98629375, + 660516032, + 342403461, + 680146081, + 867895850, + 684963515, + 77257011, + 828987793, + 478516366, + 806952055, + 870457563, + 159392578, + 939188936, + 736487428, + 437405433, + 178709496, + 841991515, + 974735087, + 130253428, + 878145233, + 526259799, + 900845676, + 374434377, + 975849426, + 757178258, + 966787063, + 302266026, + 566020965, + 61328760, + 485590426, + 238707687, + 541324004, + 998654768, + 5456994, + 117168740, + 943595809, + 926590565, + 483231730, + 535417750, + 113506112, + 938549495, + 660732544, + 274494701, + 226314107, + 625050478, + 408899361, + 635160847, + 473933508, + 383932427, + 269667017, + 998850970, + 671265289, + 44704132, + 631168982, + 904297704, + 654040943, + 649082038, + 704955159, + 23179026, + 219543654, + 886638783, + 490363439, + 708727854, + 341920967, + 171857227, + 566349222, + 326658879, + 351134898, + 878098244, + 163527856, + 444522521, + 636185358, + 165360294, + 883016603, + 307589084, + 1127876, + 297094573, + 2266870, + 773320646, + 449377654, + 411159915, + 991928672, + 865085084, + 823684697, + 526299204, + 189163363, + 450936725, + 400494331, + 984643951, + 904036482, + 633380680, + 269002587, + 145582883, + 990288863, + 818395328, + 591997773, + 653587918, + 283333259, + 657517832, + 121590451, + 406976514, + 86341578, + 295248803, + 842841358, + 318955430, + 866162711, + 369675805, + 140687209, + 304949464, + 451470721, + 831427057, + 924145515, + 933203451, + 896902519, + 188560232, + 721521820, + 108724259, + 884227111, + 610251465, + 98122207, + 990137877, + 136448228, + 271610438, + 396784217, + 391952157, + 365569312, + 517400730, + 543789050, + 248576794, + 686942509, + 91683708, + 161802583, + 678197563, + 792922455, + 883944849, + 240477286, + 909619908, + 899484842, + 31218726, + 489212141, + 128414243, + 434785859, + 301813582, + 510916403, + 606770772, + 560480638, + 924010217, + 29758439, + 573495626, + 306790691, + 656871980, + 188519384, + 591351428, + 434265823, + 319057051, + 616827891, + 618236668, + 795953631, + 401636033, + 108600394, + 765687252, + 192922795, + 47122622, + 149055472, + 312022541, + 919094598, + 968937120, + 273189234, + 588170831, + 674991522, + 995665825, + 163566593, + 631901094, + 676082689, + 245491590, + 170263264, + 313268266, + 398558884, + 654178111, + 586145685, + 55545839, + 62681921, + 652472126, + 661456537, + 943362938, + 648407692, + 874675248, + 400391181, + 617985661, + 600650899, + 500102731, + 742685142, + 431436545, + 515024357, + 894852168, + 95010406, + 393126650, + 718767077, + 143355012, + 287816003, + 445061639, + 687716793, + 986302907, + 46160337, + 328768315, + 363690151, + 442972337, + 868444648, + 981732261, + 873563843, + 973373342, + 441344806, + 440848829, + 541238310, + 385022583, + 151948139, + 663589540, + 59689588, + 717520943, + 453600351, + 509327393, + 344240072, + 775178739, + 562700376, + 258352741, + 319843064, + 472851438, + 51278135, + 146737094, + 220689807, + 700320382, + 837332102, + 762385525, + 399959971, + 340391529, + 506350075, + 309244592, + 922326445, + 308581072, + 693856672, + 435122256, + 549415026, + 943761953, + 878234910, + 38686776, + 341990619, + 332794128, + 163334525, + 436719687, + 57646657, + 917462331, + 850315480, + 380669479, + 537835446, + 204877363, + 699662373, + 39358988, + 410026675, + 94768102, + 329948058, + 721550840, + 825553659, + 304712541, + 196325200, + 607009647, + 945395785, + 967956293, + 388320607, + 133243535, + 640342851, + 445277384, + 240854060, + 469239245, + 221896301, + 325377114, + 171457041, + 925879675, + 607293320, + 53067765, + 740263642, + 898186869, + 169410240, + 948730095, + 941019494, + 294476646, + 178250682, + 305501864, + 413087864, + 924901626, + 458315450, + 958314557, + 590331576, + 75593805, + 97061820, + 145043190, + 162473687, + 951836985, + 962466400, + 167018333, + 341206137, + 134960982, + 838815629, + 382897871, + 599308775, + 101595843, + 493804524, + 230089706, + 14722163, + 350127480, + 403371683, + 613235294, + 915894561, + 834618526, + 475187293, + 27401342, + 25363743, + 932209539, + 493936940, + 524781045, + 341384337, + 885707986, + 931029183, + 988701420, + 283148480, + 935006656, + 137668991, + 874762225, + 269100666, + 90798739, + 260988534, + 126779018, + 590532967, + 97365741, + 140736498, + 714123802, + 145722215, + 722460160, + 490322286, + 811290287, + 67742715, + 713677709, + 39743735, + 332639627, + 218125803, + 713378338, + 824495521, + 802155217, + 464190961, + 508591532, + 782584768, + 62270081, + 473801997, + 780246306, + 492962814, + 596922368, + 830159474, + 982171716, + 485473444, + 748662054, + 641029558, + 211481352, + 142625254, + 754603067, + 189617175, + 441925744, + 147899125, + 860281759, + 721251483, + 864773403, + 872633785, + 33285556, + 512721503, + 163153735, + 923076165, + 499134592, + 305679331, + 52448476, + 304471733, + 904986224, + 180173469, + 873491106, + 54145038, + 850413878, + 907977403, + 729927922, + 811633977, + 904950176, + 967333052, + 873826354, + 201838752, + 805215738, + 401471602, + 198851990, + 100308971, + 820767311, + 271177128, + 626224830, + 878636669, + 766515865, + 698046510, + 94262611, + 91220413, + 34511572, + 369678587, + 136416738, + 135295118, + 835665387, + 837010861, + 1778766, + 188983056, + 520636238, + 67932808, + 842490299, + 537076134, + 257837150, + 254214487, + 640539077, + 163653725, + 365902396, + 360638622, + 747990900, + 366004316, + 518292904, + 316433552, + 864242416, + 553070922, + 855359306, + 274710491, + 30862493, + 371214965, + 74018785, + 860725025, + 23212647, + 773378365, + 244988883, + 23911823, + 995715530, + 619254393, + 873229435, + 906485693, + 802772084, + 109348094, + 337709190, + 360376560, + 620412528, + 748806078, + 96927764, + 645692670, + 515921770, + 829497017, + 319535006, + 410349879, + 365477827, + 825984480, + 420095159, + 907728075, + 453525347, + 599004529, + 524492831, + 573007531, + 588571259, + 845043093, + 659303990, + 897664755, + 689141490, + 553464385, + 612402452, + 373088932, + 290561218, + 547062193, + 182482668, + 552490321, + 631921117, + 410498709, + 897645415, + 334252520, + 853354392, + 481839029, + 499111479, + 448327286, + 758790177, + 942150784, + 810550498, + 325945856, + 864779657, + 911600156, + 737246429, + 721670995, + 370483014, + 306381760, + 582988068, + 606736194, + 528288688, + 684396087, + 981207893, + 889223032, + 452556604, + 545934929, + 432351484, + 76192129, + 24442032, + 559427512, + 118522351, + 324985000, + 602642254, + 479431557, + 820891887, + 169957371, + 692922048, + 418135756, + 575759197, + 409144974, + 546524375, + 212836422, + 869372143, + 739934065, + 103096338, + 71683468, + 166537114, + 274182811, + 152109497, + 595401186, + 943372376, + 769966230, + 376541867, + 755512473, + 826110380, + 675752392, + 767459616, + 896331002, + 624758059, + 740305558, + 560126549, + 658826649, + 539109044, + 816910325, + 566750152, + 471067553, + 688551621, + 741199527, + 52483806, + 953002908, + 730160068, + 995900903, + 331283408, + 968015001, + 4126543, + 976093594, + 862752300, + 398483383, + 659408192, + 237199285, + 348457285, + 772972019, + 480622739, + 406044796, + 751533503, + 863596949, + 571567136, + 352641320, + 668049650, + 826962409, + 690997860, + 910314042, + 713494248, + 600901841, + 688516875, + 214834897, + 177692862, + 531026235, + 990390602, + 43541428, + 617020987, + 570722474, + 162450513, + 635827725, + 63288761, + 415548905, + 286793206, + 714088196, + 940059162, + 893899441, + 749707054, + 54067503, + 27553999, + 265237786, + 264657154, + 918428214, + 542011994, + 973059413, + 979487296, + 445331640, + 21967865, + 890594067, + 768968716, + 635514547, + 575301384, + 855634337, + 367200514, + 675846346, + 642148298, + 484407741, + 221163342, + 533925647, + 843020373, + 625603149, + 916232486, + 873072403, + 779163460, + 454060507, + 75836, + 7985462, + 736721012, + 383345697, + 742346767, + 660760312, + 879114550, + 29098064, + 960655198, + 426890371, + 931812190, + 428746353, + 461046966, + 494984288, + 141134427, + 811563191, + 78726270, + 588642920, + 393699714, + 142913769, + 518877134, + 604838140, + 556676182, + 152929184, + 602798185, + 910403651, + 898625854, + 626487224, + 266034437, + 725262406, + 889614366, + 597343152, + 570666408, + 218575288, + 434917749, + 516664, + 944606220, + 308338510, + 871383776, + 734925803, + 297242798, + 23889061, + 627743907, + 801456652, + 575033010, + 368240050, + 672023672, + 416777299, + 789532761, + 715855021, + 70299680, + 243983876, + 33760751, + 793001861, + 750079838, + 917145769, + 643627426, + 135779765, + 721092021, + 349580710, + 937386887, + 885945353, + 528411233, + 381325889, + 774124795, + 555778758, + 377724189, + 948995789, + 430383986, + 977767872, + 411335735, + 142426216, + 80314555, + 960647770, + 840694797, + 793202061, + 329255107, + 140086498, + 532839916, + 176196362, + 57914219, + 508464092, + 992844662, + 436809653, + 212757427, + 65689962, + 366513380, + 889148347, + 837903010, + 239554660, + 779049456, + 519381998, + 395974210, + 966870175, + 474141784, + 857071524, + 688749281, + 823683661, + 256223060, + 45021479, + 70949872, + 894833262, + 211212585, + 538535431, + 414150849, + 715635319, + 586877556, + 82270020, + 556856608, + 413749079, + 681255945, + 245554097, + 408996897, + 798777881, + 964027279, + 363846487, + 290313722, + 545523710, + 991273368, + 765412282, + 617077811, + 861215115, + 26299008, + 862797793, + 59596791, + 301896640, + 761869449, + 639849999, + 800538240, + 866748390, + 993625200, + 338906345, + 470425459, + 548423176, + 536041050, + 10782658, + 382980242, + 929027491, + 738060623, + 813836313, + 658393818, + 311258651, + 960649848, + 157822478, + 514337768, + 303480104, + 84584675, + 522762408, + 473132591, + 862805502, + 349693312, + 685105050, + 200084935, + 183456708, + 337091315, + 311170111, + 601955385, + 306355864, + 36355775, + 566661078, + 901658014, + 239156691, + 24297902, + 729470068, + 52099623, + 861296757, + 87538180, + 223653700, + 558360570, + 800466924, + 964342519, + 28164274, + 97396457, + 142583731, + 37955214, + 598490362, + 65710058, + 796478107, + 319102805, + 805443945, + 128652129, + 829657375, + 744635191, + 573704173, + 423364048, + 337376628, + 912558285, + 817468003, + 818742040, + 527484292, + 745921998, + 891911812, + 457218573, + 829125159, + 566269154, + 840080035, + 612959021, + 203165549, + 19604136, + 8674653, + 402126667, + 42695166, + 189514194, + 899650021, + 348613324, + 544024948, + 462169960, + 756134466, + 508658848, + 416201885, + 77415861, + 689685712, + 940375657, + 387694047, + 184410804, + 451594042, + 677737450, + 700266841, + 790998449, + 983438722, + 706328626, + 250762882, + 647220267, + 596114504, + 522573431, + 368335835, + 116968162, + 265467938, + 433197341, + 410593071, + 689722571, + 100882194, + 250517565, + 267394198, + 654885954, + 791220086, + 385387395, + 512629463, + 427780382, + 170956603, + 560612281, + 772076965, + 720564842, + 488615934, + 496487939, + 938725656, + 344192520, + 688755731, + 110702180, + 922350327, + 273458122, + 737158042, + 781943315, + 303792122, + 340675387, + 864307143, + 806616164, + 521146724, + 388790616, + 690256761, + 60107634, + 286219868, + 596962067, + 401129328, + 3889485, + 847924455, + 979435561, + 636654269, + 910632239, + 75718267, + 430645998, + 883062573, + 78731248, + 458560935, + 210409424, + 822159050, + 391028691, + 479458762, + 807759689, + 805467099, + 391472631, + 999061610, + 863224004, + 688267509, + 179558502, + 308937627, + 171612608, + 196507573, + 8226690, + 35218013, + 651260077, + 917416729, + 283822888, + 729020905, + 489577865, + 925303596, + 246169850, + 447609486, + 305785839, + 138918250, + 535618005, + 395080705, + 840329533, + 642433981, + 923222229, + 97518185, + 943216342, + 863719630, + 837664589, + 177492642, + 613251889, + 883509110, + 864465797, + 844094073, + 421112860, + 102956809, + 553334773, + 33367108, + 400740021, + 203737987, + 316599432, + 236017967, + 410849848, + 635198107, + 771254195, + 251259615, + 459544712, + 540355720, + 484074381, + 120134184, + 780456768, + 485597522, + 617441391, + 620328097, + 781190683, + 426842509, + 693597921, + 595298352, + 178975374, + 656798243, + 151445934, + 811132838, + 235866953, + 877793433, + 786950615, + 22681856, + 920348392, + 452775298, + 986977771, + 56345757, + 766117314, + 119243437, + 510109445, + 148064871, + 103002707, + 531949818, + 966192244, + 617095082, + 639927510, + 358547925, + 2883468, + 323176740, + 33976940, + 887381028, + 639641104, + 444391049, + 825848115, + 401579326, + 49924231, + 774504372, + 878084802, + 438736343, + 280764838, + 477861458, + 305398000, + 365919126, + 117014660, + 90530276, + 223286082, + 291332275, + 194474090, + 894003353, + 565760011, + 375913198, + 153404764, + 341017814, + 313645146, + 358356814, + 552393957, + 479675974, + 64236486, + 988652945, + 940311595, + 573275015, + 588685691, + 739444804, + 715734849, + 92919073, + 95753635, + 536207137, + 946370747, + 839488653, + 498323784, + 476451053, + 72413659, + 933210640, + 457112560, + 458752884, + 180856524, + 983236538, + 557099459, + 529995835, + 926253994, + 742849187, + 342913171, + 604768245, + 838018587, + 803865502, + 200652393, + 169706181, + 614344516, + 674422514, + 308979502, + 765984833, + 348054262, + 126912774, + 707577036, + 472653114, + 423888161, + 456193180, + 66461691, + 285685093, + 540995782, + 214301182, + 22299842, + 539000136, + 11718239, + 13206791, + 91466661, + 63830789, + 844963994, + 589466276, + 226811295, + 167471765, + 853430338, + 108591090, + 51827920, + 869173817, + 301480866, + 935946965, + 919250600, + 154795190, + 425361886, + 171870810, + 316299095, + 215697575, + 155462995, + 664565769, + 609527593, + 350858889, + 766351396, + 708760825, + 144720506, + 5326842, + 351968601, + 795875700, + 633752781, + 144309113, + 269426973, + 514590742, + 478952952, + 397068883, + 483210, + 903556971, + 384232999, + 384525706, + 317350321, + 673491018, + 102183212, + 367097956, + 868164933, + 999030445, + 736378698, + 217439879, + 283982012, + 438397539, + 575564836, + 753967089, + 175708960, + 412930649, + 884483303, + 923631348, + 944453572, + 37184601, + 942236403, + 616279693, + 320226682, + 762709977, + 245927662, + 479470077, + 778597054, + 765306649, + 904549370, + 727876269, + 872620103, + 170886370, + 888444142, + 855990907, + 746741327, + 623543118, + 616767394, + 274015708, + 371264586, + 938363172, + 602136544, + 5121907, + 816193356, + 278008691, + 120457940, + 292909843, + 134407516, + 266855193, + 582265333, + 487428920, + 33903388, + 883944844, + 996644083, + 144719175, + 39689161, + 424289042, + 553754672, + 117371262, + 182849470, + 573768345, + 15512358, + 438205647, + 709504272, + 245854884, + 758552849, + 911166829, + 179552501, + 933420287, + 170398995, + 750671721, + 558518772, + 739363661, + 174590890, + 988584173, + 597670431, + 988919279, + 380917937, + 235322464, + 916511528, + 964987293, + 912235250, + 460751322, + 481062140, + 517178602, + 433118684, + 884187269, + 813047920, + 260108521, + 771891610, + 67180856, + 67692516, + 946607800, + 748465252, + 807227704, + 605986010, + 639569963, + 823459529, + 774631666, + 779371270, + 391824543, + 334621050, + 425194741, + 490986952, + 405423883, + 294658403, + 855035557, + 268810322, + 908627670, + 850662293, + 544492775, + 787998170, + 836929703, + 305979856, + 207950875, + 66843008, + 916238441, + 572189328, + 966287456, + 144131350, + 889967423, + 771031945, + 394270857, + 224536928, + 695808640, + 388137927, + 771022337, + 625631027, + 303754181, + 653353920, + 964589853, + 938425465, + 755683021, + 323880830, + 750963488, + 337444540, + 47795552, + 504231403, + 362678177, + 711224267, + 239181312, + 352082927, + 844697922, + 608690808, + 567108619, + 820648549, + 831470735, + 131819488, + 452875939, + 236504294, + 812755420, + 448395358, + 127429881, + 895215665, + 136500513, + 680103027, + 709741933, + 83237379, + 31186693, + 85280038, + 225015595, + 990263321, + 17403044, + 702768466, + 371625217, + 689428379, + 926411632, + 208823805, + 937725433, + 687037143, + 254938728, + 813469932, + 87663854, + 742699924, + 357511406, + 704424156, + 273193473, + 335307671, + 452555265, + 760105171, + 286664170, + 999193583, + 311599503, + 465829552, + 675180690, + 326904371, + 85410941, + 709871833, + 624283060, + 314883674, + 700936741, + 986713996, + 294309855, + 230899320, + 383249980, + 94270733, + 837273005, + 707287632, + 567074790, + 114619612, + 31292085, + 718908009, + 810426882, + 152494066, + 832704914, + 945591132, + 126567325, + 388012698, + 501494863, + 718251516, + 420292959, + 169090612, + 816089214, + 486041868, + 408081394, + 653652506, + 624130979, + 980270500, + 499322388, + 51461772, + 20518627, + 959149107, + 946721170, + 30358281, + 153193848, + 402188570, + 382703386, + 97311690, + 943934004, + 267493692, + 676485361, + 271088763, + 189392, + 849949014, + 368141519, + 364426571, + 929718969, + 411807418, + 526643452, + 47842799, + 162637920, + 512298819, + 624946145, + 288148069, + 730546282, + 223375135, + 279669518, + 342929454, + 346568452, + 626325245, + 203796627, + 337747070, + 546891917, + 193446517, + 88258816, + 355206206, + 168611927, + 378242113, + 633047195, + 968530242, + 220672359, + 642613345, + 77669205, + 680408968, + 348361636, + 756117845, + 487840395, + 614614203, + 290965357, + 61735792, + 775505792, + 744913573, + 74812209, + 472870216, + 498746395, + 978216286, + 992911656, + 493492912, + 416336926, + 92777874, + 378133612, + 766773580, + 503914590, + 964014124, + 816870855, + 332837871, + 549028976, + 243723848, + 611509005, + 622776867, + 701613586, + 927530077, + 29286350, + 599358839, + 272131387, + 103586743, + 650687795, + 311131803, + 72046091, + 68131563, + 459227920, + 218545147, + 402032457, + 317222954, + 981607464, + 420560723, + 834304223, + 877986590, + 617532088, + 501035956, + 959751365, + 360466345, + 929031678, + 416090738, + 486185860, + 706203269, + 387536723, + 239108411, + 531218988, + 513951010, + 507598745, + 616765115, + 821162559, + 928774996, + 273176472, + 467459755, + 290104105, + 192278967, + 748449422, + 654293301, + 386210412, + 327961863, + 638157305, + 151392660, + 779705436, + 942335051, + 487000033, + 148619671, + 901344202, + 666388055, + 393066941, + 54726027, + 191645409, + 684468687, + 980175064, + 464987474, + 833480336, + 695936859, + 464097615, + 402828229, + 295634363, + 853727004, + 1661910, + 958138899, + 33754215, + 431244903, + 559227878, + 183171949, + 244173362, + 428954133, + 584028446, + 583152145, + 447569574, + 556165918, + 89814802, + 978740599, + 965800971, + 618787714, + 162891221, + 284079827, + 121087786, + 136778506, + 366529974, + 66624914, + 677243573, + 620811433, + 793088703, + 335350530, + 308776003, + 510778331, + 560004445, + 548539507, + 944485252, + 929068866, + 422083797, + 259531117, + 616175949, + 338886401, + 560067580, + 56068534, + 403938305, + 244133026, + 14701152, + 872463625, + 963999547, + 480723683, + 97051622, + 817860493, + 8632649, + 587901920, + 105791497, + 503119781, + 544039641, + 468694243, + 249831778, + 410203092, + 862064688, + 179676223, + 784850455, + 217885201, + 629649222, + 262463805, + 865377180, + 597277248, + 604703598, + 556928608, + 945023813, + 622907090, + 415827563, + 39885883, + 744104712, + 416657176, + 525432884, + 140724163, + 223387080, + 641317504, + 626482675, + 675861094, + 79295850, + 724357963, + 762270059, + 474202963, + 252982983, + 309335964, + 852023575, + 18761755, + 212480871, + 291500510, + 474320530, + 985554089, + 933603379, + 738044811, + 563917627, + 903925207, + 387100824, + 427841910, + 45834372, + 92553571, + 98102425, + 446235023, + 25095098, + 89786949, + 512483814, + 492330064, + 136816605, + 30099403, + 857366777, + 104934903, + 579573961, + 660556988, + 601268415, + 26240169, + 705633420, + 819961837, + 272848665, + 950592612, + 900366993, + 985378679, + 916037221, + 171375585, + 949992542, + 299967623, + 283407342, + 586902371, + 480730687, + 4088114, + 380394370, + 846518041, + 867835508, + 381493660, + 706952084, + 349131763, + 750459987, + 214077262, + 437482647, + 213515026, + 579824327, + 498340209, + 498202749, + 625073265, + 988972259, + 177523029, + 784369756, + 411918352, + 680773690, + 57695851, + 172042152, + 523892175, + 43706140, + 582641462, + 584292083, + 688261450, + 590012175, + 575450050, + 364291531, + 695107845, + 148741851, + 583468807, + 474626062, + 258562553, + 566000705, + 212770026, + 734185142, + 267619855, + 841904976, + 796960237, + 949019366, + 500928349, + 273616844, + 601858185, + 115202506, + 254433683, + 823657759, + 925761178, + 390652234, + 20905617, + 60797389, + 376248729, + 886385098, + 117979069, + 679843273, + 381652609, + 103936454, + 786941909, + 91286776, + 761794271, + 826854270, + 113928621, + 49796393, + 403052800, + 202560184, + 849612874, + 862639786, + 954851896, + 946197829, + 347013707, + 136982428, + 952003383, + 287436486, + 238181924, + 537279327, + 28579892, + 676414413, + 160655288, + 83043560, + 667895652, + 536182301, + 685278090, + 567135300, + 27400168, + 812549357, + 725852630, + 465160349, + 921396435, + 902934209, + 727315626, + 271807750, + 234055703, + 347941992, + 217346896, + 935937011, + 989386614, + 146767874, + 870930333, + 678406583, + 186581172, + 214804318, + 792178530, + 273792025, + 191345509, + 365145778, + 301612373, + 360215683, + 379102492, + 268158014, + 956724493, + 670556196, + 506120037, + 567746164, + 113041681, + 264033478, + 601202897, + 957627338, + 840088178, + 86824413, + 445340116, + 181509034, + 416619273, + 659185210, + 870122037, + 969490674, + 350761605, + 234399748, + 536636448, + 900739384, + 974382167, + 44417973, + 102839031, + 76166966, + 278503326, + 31102458, + 943072102, + 831756119, + 960378827, + 556842802, + 306024335, + 231584378, + 503839857, + 261105150, + 129403563, + 38240617, + 566476727, + 25028064, + 65465971, + 181578371, + 837045496, + 861095475, + 732392588, + 16785361, + 261830968, + 287649773, + 192973925, + 361958570, + 875160560, + 752728547, + 218428289, + 863595469, + 295557775, + 726614606, + 922582021, + 402740625, + 307713163, + 135184696, + 526938641, + 825723154, + 473161125, + 622463123, + 415279809, + 618053891, + 981487310, + 680772766, + 206049248, + 311165464, + 456151871, + 931405637, + 876272495, + 482680006, + 530479461, + 318895592, + 253914388, + 600544174, + 434429887, + 718953453, + 821302784, + 31339654, + 502185703, + 787212430, + 786958035, + 717125604, + 89926190, + 378926973, + 260457654, + 258326884, + 333508196, + 920081823, + 888386730, + 109721355, + 317288849, + 284888377, + 871748095, + 92999752, + 129853916, + 860626543, + 961375327, + 217319026, + 767591300, + 679515786, + 861694653, + 391141160, + 88724233, + 898719585, + 193332111, + 799380521, + 160104301, + 720185093, + 812746383, + 257409242, + 913721848, + 752988567, + 972404785, + 453738053, + 143024510, + 151131826, + 171577136, + 755425529, + 648956078, + 475703195, + 193490964, + 155830244, + 401693373, + 501547323, + 149233723, + 501253165, + 796094513, + 560557365, + 674880158, + 425847412, + 789234724, + 934522982, + 235543747, + 640964113, + 868599905, + 506939895, + 26688794, + 235455597, + 119204086, + 885724989, + 418558546, + 243624597, + 979976483, + 913358438, + 654359926, + 135937620, + 569321168, + 211509609, + 307349745, + 384998829, + 563177493, + 510387494, + 322418416, + 382155418, + 179873810, + 85818298, + 40487879, + 286977883, + 264650851, + 239246502, + 433008, + 795409932, + 161143395, + 851066705, + 522577922, + 51969475, + 303097170, + 525446882, + 1260937, + 813518302, + 621876167, + 768213354, + 889225166, + 564564166, + 64079567, + 855391565, + 558931146, + 818035247, + 99770910, + 278994908, + 43228303, + 281022961, + 74639090, + 36669996, + 332255545, + 409997028, + 29504392, + 515492845, + 403369011, + 594607407, + 472078682, + 319344991, + 746437824, + 611353666, + 858373052, + 617373639, + 471994843, + 763925526, + 141853143, + 369516300, + 495755351, + 133929659, + 304278447, + 340412102, + 182609802, + 194427504, + 260506160, + 912804989, + 136246535, + 19131913, + 770883893, + 222764940, + 622729176, + 999390488, + 27942475, + 292693708, + 323781574, + 480939154, + 267234098, + 44354366, + 238789023, + 756340601, + 913622507, + 810880044, + 767373666, + 952476974, + 218531847, + 337345311, + 269719503, + 124549413, + 332859772, + 913039131, + 825371411, + 550775739, + 743858124, + 250821189, + 677756223, + 65370794, + 347351633, + 85301263, + 155371960, + 758492635, + 306945004, + 507009987, + 806625865, + 587306687, + 94151435, + 445273913, + 464176579, + 594574641, + 396701891, + 68229526, + 347861958, + 49736786, + 156968774, + 486977742, + 908771719, + 387923681, + 545191516, + 589794745, + 570976491, + 983061156, + 99594946, + 863327089, + 478535740, + 173801790, + 505716536, + 980059937, + 823448352, + 310516801, + 236536245, + 596843812, + 793446145, + 509000348, + 279449893, + 371168424, + 740725742, + 220318780, + 804525331, + 148531381, + 591440983, + 787936188, + 172089621, + 839330789, + 155362486, + 176904476, + 179920846, + 462273540, + 949684681, + 116941022, + 298917022, + 963045832, + 148226950, + 313079294, + 297045981, + 272514387, + 19472100, + 787574941, + 917085852, + 685356712, + 899339069, + 452791686, + 463182021, + 63056345, + 44241627, + 536478890, + 151523778, + 395522268, + 367864926, + 838841020, + 285726507, + 554669659, + 184905634, + 742433109, + 249409261, + 781280163, + 684857004, + 460892738, + 245052214, + 312672979, + 644463614, + 44150004, + 824160443, + 195874280, + 855248962, + 169104717, + 597163617, + 103510010, + 751954822, + 374287915, + 769316563, + 113759039, + 665659317, + 661241451, + 802341914, + 11181895, + 851763213, + 135346535, + 825844045, + 638189759, + 172707220, + 188567925, + 699433552, + 790140084, + 710954284, + 5020665, + 790507422, + 909813702, + 799202767, + 789744445, + 44956269, + 988941546, + 662253141, + 471931895, + 863889811, + 858315485, + 643220129, + 609553047, + 788851957, + 813822809, + 800287507, + 293922598, + 183525156, + 870331995, + 486472005, + 722356426, + 1426155, + 466071882, + 37128501, + 21550214, + 159863360, + 904448010, + 535656596, + 134020476, + 495084181, + 155440139, + 976719629, + 767544431, + 228240157, + 726004533, + 321958094, + 385010040, + 527642363, + 336883841, + 393828409, + 552663231, + 238746592, + 874641217, + 238295470, + 490506067, + 890256380, + 313887046, + 954571558, + 625347754, + 137036504, + 299137324, + 187974073, + 984118908, + 17567153, + 677307178, + 671898072, + 593636359, + 409297401, + 470938340, + 195383404, + 663287121, + 774337040, + 168454574, + 234914258, + 591403157, + 85601696, + 120836858, + 504575553, + 301142091, + 893963887, + 762067181, + 95759418, + 200289891, + 478819458, + 582943946, + 21537448, + 996425170, + 727074791, + 239265113, + 366577079, + 635968060, + 209879763, + 384305484, + 913054350, + 347477148, + 251727432, + 461658224, + 464731534, + 979080068, + 992882432, + 565021945, + 581353310, + 66165450, + 346489985, + 462560156, + 828518484, + 389122463, + 423075823, + 619297788, + 137971880, + 747645232, + 920305068, + 377438381, + 404712970, + 655316265, + 746386685, + 862736878, + 91442617, + 877556098, + 369810960, + 504277209, + 823766413, + 507818138, + 68788864, + 159468632, + 136847349, + 348839851, + 835510406, + 159459664, + 404903009, + 401552292, + 459435207, + 628383693, + 7539421, + 515146380, + 262182013, + 659089754, + 440013090, + 300924598, + 173328361, + 803604029, + 250969610, + 191677037, + 556387584, + 472610737, + 909624019, + 629047472, + 168708979, + 769301010, + 533755719, + 319195838, + 860266461, + 298559175, + 287451096, + 309594172, + 459704419, + 829247412, + 639996372, + 41301244, + 930750077, + 249425630, + 629210538, + 14532017, + 946954128, + 982886385, + 9672197, + 262585052, + 664742393, + 749692050, + 592716590, + 626932772, + 747161998, + 482916310, + 343875324, + 274023813, + 273160949, + 423904105, + 90029175, + 874020739, + 347848841, + 219446851, + 80505871, + 917793532, + 135853995, + 631608006, + 731641895, + 526321382, + 587101429, + 890249558, + 51830958, + 766713682, + 241537294, + 620012991, + 714012879, + 958934633, + 918409416, + 309089925, + 472080943, + 246336413, + 189852268, + 396966351, + 794652402, + 677436245, + 492197810, + 438966600, + 265407286, + 970767471, + 747527271, + 415635650, + 673595508, + 109319236, + 249603864, + 698188341, + 998080299, + 10579186, + 458689641, + 333071021, + 397600865, + 837531047, + 865092630, + 207637421, + 710313196, + 485252187, + 717954835, + 94011131, + 817893332, + 922481624, + 418417011, + 547825706, + 987001149, + 467716181, + 189803599, + 933009911, + 450364499, + 366419009, + 507471621, + 297013854, + 611625157, + 913848205, + 816940710, + 363241574, + 480376004, + 632511988, + 349268017, + 99510975, + 896800618, + 20957257, + 667136626, + 682967420, + 784432860, + 936889935, + 795903918, + 709771676, + 389322139, + 709051292, + 427393296, + 565935890, + 697876732, + 299955216, + 37364267, + 939049548, + 940010077, + 831345644, + 769648045, + 7767575, + 240758134, + 871547295, + 684371172, + 340981263, + 123073219, + 654636490, + 150638263, + 906037085, + 268941026, + 825993582, + 375449959, + 888633615, + 727905021, + 434615509, + 637455730, + 875646512, + 980782540, + 115616482, + 437050826, + 625133362, + 272940390, + 53279330, + 623642143, + 650342096, + 800562138, + 373612502, + 803727922, + 134013241, + 722570984, + 925052253, + 681045189, + 595119700, + 403399826, + 793811892, + 380288517, + 452016335, + 298884778, + 418798496, + 559519837, + 446947295, + 522268675, + 746812883, + 847977696, + 440670840, + 967253108, + 883729101, + 813625414, + 470472376, + 497893062, + 565421185, + 514770449, + 37886862, + 422107130, + 877888262, + 805448769, + 317842972, + 106716364, + 457077222, + 487386776, + 619884017, + 701647167, + 323450706, + 924675576, + 610525255, + 842585852, + 652421730, + 613903086, + 677038111, + 150424496, + 659692947, + 719704394, + 916209547, + 121672094, + 529693614, + 54797798, + 355035678, + 600808582, + 367375414, + 294615020, + 543142894, + 163510762, + 20182205, + 749075965, + 401998900, + 798941538, + 766101146, + 554427678, + 116285338, + 690396432, + 953594662, + 30152042, + 265342790, + 624927895, + 406342314, + 504305670, + 144546567, + 842780975, + 215600692, + 383314323, + 601198807, + 274737470, + 838130097, + 266973847, + 320987561, + 435707079, + 860112419, + 359254473, + 497999205, + 55304625, + 805638418, + 130798849, + 690412174, + 830031540, + 407276482, + 329203935, + 553667410, + 953334599, + 145087607, + 752962719, + 263446847, + 65441300, + 546519690, + 615474310, + 110000670, + 113613743, + 794313965, + 384112437, + 979174410, + 13444838, + 286743230, + 960285697, + 540069925, + 307282004, + 148409652, + 818464889, + 883057580, + 33644699, + 436034836, + 140356312, + 2184607, + 761906890, + 884268489, + 943341822, + 420814233, + 572487785, + 292664984, + 987956843, + 717597808, + 509417288, + 767309817, + 559812155, + 695660327, + 395390504, + 534562117, + 391757712, + 7292167, + 122059701, + 957559000, + 315275253, + 778089919, + 701002690, + 181426825, + 43522511, + 874544364, + 419889381, + 184640792, + 257743383, + 169919953, + 162725719, + 530746589, + 21806025, + 476313762, + 636951355, + 800361405, + 199108840, + 382194066, + 171850, + 182032140, + 882473899, + 419825710, + 230011401, + 326551197, + 538153943, + 279350642, + 975678077, + 292781118, + 229768421, + 205974333, + 228565731, + 815782915, + 517567123, + 413415691, + 754329842, + 366819372, + 491593618, + 71984570, + 779202181, + 259947311, + 585952820, + 162426984, + 952918457, + 269362805, + 337253256, + 510218295, + 649671982, + 178624419, + 94501319, + 439764255, + 113656980, + 749911571, + 87429388, + 852778470, + 526001577, + 540223890, + 631124558, + 311330614, + 497745293, + 54532352, + 771725480, + 330326274, + 953422291, + 771513107, + 447191508, + 895359470, + 584675952, + 909682893, + 842294783, + 539964461, + 543466915, + 32259542, + 429130140, + 244716802, + 588018096, + 186919973, + 13737814, + 611496091, + 614893652, + 498994654, + 352651128, + 801803828, + 919197043, + 485607819, + 108949943, + 291446205, + 972551903, + 516407308, + 413126928, + 919424637, + 896930886, + 307862015, + 814033447, + 318545669, + 808337199, + 552441836, + 142526986, + 482161945, + 333884475, + 227902651, + 375325318, + 39716905, + 761194257, + 562130061, + 199071171, + 131669099, + 834118162, + 374503943, + 518128121, + 631198166, + 684089095, + 833168999, + 299036033, + 936907476, + 480713720, + 326609459, + 696062255, + 539999792, + 341634517, + 713933165, + 60170184, + 969838470, + 98234515, + 143644328, + 447199661, + 567459071, + 173421784, + 474477103, + 591538911, + 157378742, + 970931835, + 885372590, + 593190162, + 943680189, + 843782140, + 856553820, + 961005059, + 335999118, + 132469133, + 866426887, + 39003681, + 938035445, + 64233449, + 560301601, + 659620340, + 67489220, + 854908012, + 499436233, + 396299190, + 857356731, + 420885009, + 753668604, + 579383007, + 494250532, + 754370691, + 807814911, + 393671176, + 350419980, + 763643068, + 91942721, + 298664625, + 513244281, + 8797265, + 470654720, + 617081822, + 963548162, + 234261667, + 829281497, + 314920608, + 852863458, + 490662676, + 868882072, + 628079678, + 891799838, + 1812998, + 873499912, + 38691623, + 841533297, + 167964955, + 605066796, + 924624422, + 691771372, + 439664955, + 942670008, + 654484888, + 170748298, + 747733646, + 260786379, + 842420800, + 181424110, + 815489453, + 475734791, + 700185636, + 608358158, + 226858118, + 681415459, + 96736907, + 381944746, + 827521318, + 703542235, + 155532871, + 407634914, + 372097683, + 672932118, + 612165085, + 806007121, + 613165029, + 728944103, + 729386837, + 573812128, + 98208085, + 38742914, + 660565653, + 443433587, + 942478662, + 966984816, + 252301134, + 295644383, + 508400964, + 83194518, + 726833898, + 196571294, + 330906682, + 727945202, + 291177859, + 357257567, + 876350021, + 359804581, + 882466846, + 795423888, + 933717538, + 304795984, + 818845402, + 821064879, + 710432881, + 740586928, + 111851235, + 468896735, + 250315980, + 192487966, + 953249374, + 989150763, + 755387932, + 752385659, + 724609614, + 883040840, + 826568048, + 482726987, + 421891126, + 316418313, + 658814755, + 882765721, + 433597764, + 729608548, + 349705465, + 457684921, + 770037177, + 41844118, + 914173109, + 872405637, + 623957606, + 792914047, + 970234671, + 907160801, + 313272429, + 201980284, + 4415540, + 102294948, + 463235521, + 533767982, + 858366441, + 124631524, + 854720101, + 224014115, + 179269573, + 372916320, + 367664179, + 345584137, + 440079604, + 365731905, + 906576589, + 230396316, + 696038073, + 909298470, + 820759515, + 310697347, + 394387811, + 615547298, + 277554074, + 242064995, + 186607097, + 385874757, + 366635781, + 993019754, + 551073392, + 613802945, + 351339310, + 723933323, + 216823676, + 465630420, + 808511690, + 114580355, + 607233196, + 86344405, + 902961958, + 337238707, + 670457623, + 569227451, + 473232309, + 396057735, + 489295628, + 904032665, + 96034423, + 628704359, + 187767876, + 244720697, + 96169740, + 247451818, + 157888538, + 938261622, + 532502908, + 974541108, + 16598964, + 166183417, + 32806768, + 782528087, + 581059701, + 429308404, + 487507376, + 604568531, + 502854853, + 526553809, + 149028214, + 787161712, + 721618473, + 520562451, + 429163690, + 363157162, + 220253999, + 695225224, + 982322828, + 791164750, + 337571118, + 972845412, + 582638093, + 229689491, + 970221085, + 746856183, + 920073521, + 442360272, + 933867718, + 406917372, + 820222333, + 395566927, + 74262648, + 175459690, + 348950108, + 539590845, + 521928331, + 904073434, + 479738473, + 437525738, + 593836748, + 392311990, + 985410115, + 836419060, + 567219940, + 564571095, + 322015210, + 755193180, + 675048605, + 51872729, + 997335598, + 421763411, + 224809678, + 596705858, + 494207959, + 292840255, + 384390431, + 979223483, + 423783352, + 671024248, + 291182996, + 174291134, + 113857815, + 476449231, + 598988087, + 607520564, + 241186112, + 22518697, + 287485696, + 690042956, + 597861321, + 176692171, + 363583340, + 500981474, + 529131136, + 908673974, + 226738800, + 418333793, + 382108029, + 893220378, + 425323068, + 381068680, + 791606499, + 552518635, + 814214360, + 249422074, + 971167094, + 791650734, + 972366174, + 26095831, + 952305754, + 529716826, + 87264678, + 935598819, + 139411762, + 501010245, + 820960210, + 873972570, + 381154881, + 990483134, + 305807054, + 42694275, + 332779388, + 497658913, + 826675642, + 232820606, + 186101300, + 6452380, + 131556289, + 838356187, + 242900912, + 850609692, + 390292465, + 660518595, + 625249774, + 846890585, + 167185603, + 336847158, + 104004260, + 154733079, + 85737883, + 103773178, + 527223041, + 133049136, + 480461050, + 83233235, + 432387866, + 999455285, + 562474336, + 697237048, + 564983857, + 600563691, + 755456968, + 44454508, + 601539069, + 114678988, + 467756875, + 810206800, + 367692613, + 650823323, + 832450066, + 745362761, + 440796599, + 880985113, + 263314425, + 687540443, + 131547277, + 780405485, + 608983333, + 848629795, + 121713727, + 362244363, + 20802011, + 910794057, + 657942580, + 886873606, + 749572972, + 307550848, + 991001286, + 489857597, + 451765092, + 24809275, + 401834863, + 170047998, + 669445711, + 504031158, + 707824005, + 999635609, + 378201136, + 378164139, + 867185612, + 314606663, + 754170687, + 998551922, + 35869012, + 186699720, + 411247520, + 172236003, + 366586508, + 144939596, + 866778617, + 984875454, + 454853169, + 701985486, + 636092747, + 81700805, + 153247666, + 662888841, + 505645766, + 636735750, + 96800926, + 202773384, + 121592492, + 322859856, + 602275330, + 239591873, + 75336373, + 559535464, + 750299632, + 454604499, + 309692294, + 796412677, + 492429571, + 113770007, + 93921921, + 783255432, + 158894702, + 75289566, + 38253721, + 595188931, + 225206247, + 132825687, + 83053018, + 595960892, + 84200213, + 699640525, + 173035739, + 279346495, + 840446828, + 516415193, + 476285079, + 385936308, + 381429656, + 993492287, + 777499323, + 594569139, + 19299769, + 211946536, + 323193473, + 824004564, + 28577311, + 94173679, + 95509250, + 820897906, + 669474889, + 334962809, + 229030035, + 562798363, + 194378149, + 246339042, + 280893132, + 300305786, + 951277337, + 847652131, + 32535455, + 65399122, + 881898648, + 261940645, + 443902890, + 846479912, + 449779450, + 183159146, + 400912971, + 337079300, + 20824019, + 225133778, + 276749314, + 207861772, + 90215278, + 299106632, + 505867044, + 643516985, + 526646587, + 36706942, + 738687372, + 759633761, + 253849571, + 603903906, + 804589932, + 455301181, + 463014322, + 903006479, + 562828633, + 995624047, + 745903908, + 678991733, + 489876267, + 138401171, + 848635772, + 888164204, + 739694927, + 333582014, + 248367592, + 10721427, + 357446407, + 475434206, + 320664224, + 852006760, + 678803159, + 409826055, + 717744813, + 403299367, + 963934599, + 188580419, + 209368084, + 556102879, + 109670284, + 951323069, + 984693169, + 687725676, + 545295012, + 397147671, + 372368649, + 31046366, + 779217099, + 653421129, + 203037957, + 507225572, + 457427594, + 579724166, + 42025757, + 856843065, + 139552008, + 516148088, + 516134979, + 627741342, + 630564797, + 517878981, + 707225372, + 876224637, + 472062017, + 840849039, + 692335505, + 854080264, + 975812067, + 766960862, + 455687168, + 638096007, + 404799545, + 500240821, + 615244280, + 168298481, + 889187427, + 302653187, + 325541097, + 298196988, + 702370838, + 154390320, + 548368091, + 893741826, + 456499954, + 422473015, + 377587600, + 880675987, + 972887979, + 92848960, + 439985665, + 904178321, + 518756855, + 163439077, + 501601045, + 363576494, + 107548285, + 11079074, + 346919542, + 739876470, + 35332562, + 549592668, + 13245524, + 143062310, + 650389392, + 310000901, + 137273781, + 564696340, + 17657246, + 581107704, + 662224915, + 301333325, + 844074554, + 531132302, + 667724130, + 536413906, + 27187851, + 850600294, + 321326826, + 807319693, + 256619042, + 103256708, + 755779642, + 683467922, + 646673062, + 806091318, + 818584041, + 982805134, + 622763658, + 86972367, + 204299098, + 695723166, + 238374877, + 313058903, + 599409902, + 757769385, + 935094903, + 685387304, + 551967586, + 626401837, + 27026799, + 77264148, + 958142238, + 7021931, + 902537294, + 348505552, + 156417532, + 301182818, + 380969143, + 153256999, + 432625203, + 833405002, + 983108878, + 547444435, + 624703926, + 610310131, + 301214259, + 188384275, + 413424852, + 186605343, + 928205672, + 235866055, + 91155011, + 944142278, + 844056060, + 921357311, + 547530392, + 621366421, + 868379621, + 101890134, + 744294122, + 108400965, + 585535431, + 941223236, + 202413414, + 707964873, + 954375981, + 655806805, + 148469318, + 69933221, + 481973396, + 355094075, + 291842012, + 28583510, + 520303777, + 931691932, + 373652373, + 715224878, + 340120109, + 923074984, + 656566333, + 394603976, + 193378397, + 519399779, + 242009600, + 16249142, + 205159838, + 593127618, + 133643239, + 700501613, + 507148355, + 95810671, + 518804081, + 555480872, + 838952366, + 2722467, + 232199376, + 504242239, + 992972387, + 578617371, + 175243675, + 834856251, + 84288631, + 510090496, + 527454853, + 774153742, + 451205376, + 978473956, + 672055800, + 106895170, + 658257324, + 287447496, + 703310011, + 44245185, + 281613759, + 985117004, + 806731670, + 472746043, + 131297326, + 261766978, + 93496296, + 999631754, + 930502436, + 723861751, + 447817714, + 411571551, + 580752396, + 865672175, + 460794428, + 654252143, + 705162682, + 687675245, + 522234030, + 820100348, + 398260854, + 674209868, + 1073287, + 753762350, + 125031358, + 310295870, + 726360835, + 451312891, + 569659846, + 81852236, + 648305201, + 776455795, + 937816883, + 591725649, + 958549189, + 216967266, + 982968757, + 390179751, + 208660960, + 889006537, + 756009824, + 982146223, + 554521392, + 311129475, + 500014701, + 157545041, + 20332501, + 776257409, + 948679308, + 911461378, + 278846990, + 26078764, + 567884673, + 906617361, + 999429812, + 611685361, + 291493954, + 608793488, + 900727214, + 853224874, + 66347913, + 761303311, + 965239635, + 270941528, + 137700479, + 618612918, + 65240759, + 94973333, + 434948543, + 170983368, + 353121657, + 603331236, + 494893572, + 997580715, + 401807424, + 54371163, + 794762770, + 779150306, + 407431856, + 550733040, + 650085067, + 947941945, + 984061253, + 140142363, + 248444734, + 805084822, + 278075736, + 171120616, + 191257921, + 885867795, + 382869907, + 503122447, + 343798655, + 384161000, + 514737082, + 624615692, + 707356725, + 808810963, + 226929570, + 657378152, + 495090263, + 606067931, + 852630001, + 170937035, + 712454612, + 853122997, + 42120808, + 727284869, + 341096867, + 22916188, + 747518081, + 342960800, + 541434116, + 259919570, + 349127, + 993343309, + 626957752, + 294428033, + 737854833, + 708209238, + 309401533, + 89247876, + 338569055, + 218861075, + 751517369, + 605433330, + 132254374, + 306074196, + 512702090, + 752793226, + 767048599, + 504130315, + 491045674, + 341924584, + 910608849, + 637168597, + 981983350, + 522503466, + 634761242, + 842141589, + 568824613, + 330413190, + 76174864, + 151965562, + 494736532, + 745191988, + 61228323, + 410754245, + 300684995, + 901179527, + 299612696, + 795948597, + 984356687, + 315227548, + 325340712, + 720374318, + 675427002, + 106754704, + 157232235, + 273125698, + 80246967, + 154867932, + 945585378, + 532734615, + 509582186, + 296879847, + 504462953, + 965241506, + 731614057, + 43159677, + 597928482, + 330501085, + 201375012, + 293116718, + 789470025, + 412051075, + 123429227, + 975239366, + 959980500, + 355217012, + 676088395, + 860350698, + 644343162, + 42805924, + 850842927, + 617621396, + 399950486, + 579897164, + 827421169, + 938043968, + 16870023, + 369030755, + 643319719, + 49010457, + 847888143, + 392955385, + 861540428, + 521128128, + 338350848, + 821243982, + 175778591, + 116316082, + 441043590, + 498558857, + 67113237, + 365510371, + 865564135, + 895616843, + 743361912, + 755817912, + 274680224, + 667702203, + 331649606, + 296293474, + 265490951, + 797897015, + 427017048, + 513697670, + 276335268, + 797377010, + 316447667, + 59199545, + 91552432, + 251685847, + 755105758, + 533615198, + 280849262, + 571184940, + 477250279, + 692446598, + 598228469, + 216265570, + 897172815, + 512751725, + 459802963, + 47556047, + 824621973, + 801694655, + 576844448, + 71019235, + 782710850, + 540470220, + 439892195, + 305117831, + 227232427, + 471042743, + 712756973, + 123412983, + 180832466, + 675348514, + 52408662, + 175893445, + 196900351, + 256446609, + 175193596, + 726046383, + 82372866, + 983564175, + 866158019, + 471862971, + 884272346, + 390602269, + 436928712, + 614660183, + 644288691, + 422304872, + 41869798, + 181764762, + 261535194, + 426929939, + 923357917, + 87827360, + 60596586, + 247347948, + 769012480, + 479205598, + 931963956, + 967720718, + 290070190, + 247361720, + 62988197, + 230649759, + 987472641, + 196923581, + 3020652, + 265541235, + 950332780, + 218729854, + 595953973, + 585980485, + 1049341, + 472378275, + 915531017, + 966696050, + 328274778, + 332339825, + 100782021, + 669862095, + 634015965, + 431928420, + 876412218, + 471742221, + 341240474, + 26411080, + 811219030, + 954564390, + 662428408, + 637180214, + 683937983, + 991082328, + 872685635, + 274240436, + 614234364, + 84066481, + 292074727, + 269987752, + 730504483, + 59299152, + 76097898, + 33234435, + 4707415, + 321995643, + 291177990, + 219800510, + 336158875, + 306987359, + 213596888, + 804688165, + 76352290, + 866148290, + 268983350, + 515389464, + 350744158, + 232213927, + 229038912, + 411478417, + 91276077, + 76120473, + 239865962, + 72768319, + 674391680, + 293279925, + 658195814, + 145271473, + 718192601, + 442842733, + 141455265, + 411955230, + 787858555, + 341936714, + 14896526, + 108465692, + 907801107, + 363027072, + 567540935, + 749349823, + 874020240, + 335409888, + 364388497, + 81386145, + 353465126, + 28677775, + 271651389, + 109786821, + 210181167, + 810454502, + 4119885, + 471715295, + 392262679, + 272102105, + 795880843, + 341811774, + 608510591, + 154952936, + 645254885, + 756387854, + 309306425, + 182736007, + 80538287, + 671847088, + 839015619, + 109286328, + 927619921, + 465487020, + 322896298, + 762295577, + 243062349, + 927160927, + 478436486, + 981151512, + 627651722, + 297385933, + 129442147, + 764156526, + 605525100, + 582633598, + 136131263, + 274738902, + 846923848, + 966792777, + 308713592, + 719511657, + 29870503, + 948788382, + 857738320, + 489596091, + 948565876, + 88212201, + 963598575, + 218263680, + 888716879, + 863492698, + 313352910, + 224431206, + 488039853, + 746572565, + 960599248, + 807108758, + 77343710, + 165977337, + 314360776, + 860285583, + 845450648, + 331869266, + 231444848, + 485783936, + 124786773, + 692279043, + 735881960, + 86716194, + 533038415, + 395733870, + 481907322, + 79901425, + 395413660, + 636175044, + 7972257, + 667917360, + 963383598, + 190773384, + 795533673, + 885491635, + 43106956, + 309843017, + 219121805, + 609611326, + 525457480, + 455795613, + 323573405, + 20775239, + 634898447, + 392909801, + 619959599, + 4364973, + 245444266, + 311852750, + 398931584, + 836918116, + 830431729, + 6179725, + 365396715, + 236529057, + 410446320, + 986781053, + 759817341, + 412089055, + 683781065, + 220035735, + 753353454, + 839021563, + 769140388, + 27883023, + 972739683, + 78818518, + 185360838, + 623684733, + 143053054, + 638283146, + 636167349, + 349866027, + 107063186, + 878962912, + 813174934, + 758421025, + 701540056, + 85176722, + 640681566, + 78692219, + 246051071, + 172531813, + 463400958, + 688910160, + 624785059, + 48315934, + 750709744, + 303766313, + 856783449, + 931617088, + 414135145, + 702151870, + 377205554, + 671135489, + 29653348, + 49511929, + 477881760, + 436209714, + 135628027, + 802668726, + 366100099, + 403868931, + 124967851, + 32168004, + 214985704, + 978536328, + 490086959, + 460321464, + 149576320, + 97265789, + 976450769, + 438008389, + 339072412, + 656209103, + 119614048, + 418919804, + 209521705, + 914807537, + 177205340, + 581579776, + 831491660, + 359286813, + 799422869, + 738211743, + 483675752, + 764491357, + 255929965, + 185567232, + 910323464, + 712603003, + 360588102, + 308422388, + 944043506, + 630448956, + 719358714, + 369788555, + 930512707, + 797651110, + 146319052, + 268063276, + 109011404, + 801815204, + 194773774, + 598527292, + 686878087, + 953818032, + 350190002, + 132463614, + 946165673, + 914386438, + 929622586, + 31011207, + 168685941, + 37629321, + 295071029, + 453958026, + 68973279, + 274654257, + 880904438, + 911937400, + 954331410, + 491575905, + 662685110, + 33125488, + 830650132, + 250206619, + 137772541, + 164874543, + 517084669, + 781965160, + 49569870, + 281108956, + 559037099, + 987558578, + 559638001, + 225719175, + 807159003, + 440466585, + 221791771, + 893810416, + 273962374, + 591738945, + 136459156, + 111930935, + 357113791, + 77250565, + 920201686, + 27652921, + 168061656, + 509320230, + 516236067, + 228649175, + 774019665, + 303946537, + 912568273, + 763982616, + 814731048, + 771947795, + 334699555, + 628612266, + 596320429, + 359215528, + 682801891, + 610310506, + 93248248, + 546367917, + 716583227, + 509610741, + 125797324, + 202732687, + 272679576, + 1566601, + 599410264, + 579158307, + 986106133, + 226082651, + 9196670, + 452031023, + 377595955, + 367211206, + 945739883, + 934168080, + 411854489, + 541875469, + 85079543, + 643238705, + 803234091, + 930067972, + 61248417, + 932082998, + 48275023, + 699265683, + 48090667, + 40563186, + 410666315, + 310785172, + 954924700, + 64499823, + 576291359, + 803790065, + 763516453, + 319717553, + 631613305, + 134729877, + 309260974, + 570730339, + 298896114, + 624164835, + 68189626, + 201075232, + 930238317, + 832210948, + 387221131, + 379234378, + 581078136, + 163310224, + 626566813, + 651528636, + 314905808, + 13715252, + 647461562, + 425520697, + 782160862, + 13790874, + 318687662, + 626706735, + 873305154, + 222712864, + 819672815, + 276759749, + 443233133, + 827780705, + 794394959, + 133790435, + 241515, + 19590787, + 54039318, + 415013753, + 147581836, + 46625924, + 92889757, + 508140979, + 155224236, + 8908223, + 725387605, + 779871287, + 909809433, + 847217386, + 244412946, + 494377820, + 91464815, + 722049408, + 854090353, + 838274522, + 292201407, + 175902588, + 405074835, + 879817110, + 278636758, + 990291673, + 501230063, + 771141450, + 466565035, + 20134486, + 998308196, + 435346588, + 583540864, + 336495482, + 516189271, + 727287876, + 121376351, + 759083153, + 130222151, + 989673181, + 312390828, + 213376807, + 251154842, + 72828133, + 347163791, + 573150579, + 44801007, + 758426463, + 771117180, + 598612227, + 466033922, + 983961311, + 836608657, + 691703808, + 462537714, + 117702848, + 142700122, + 39927497, + 400286121, + 343350224, + 448272113, + 457717101, + 660334804, + 661323424, + 800828097, + 649898204, + 238974644, + 621253816, + 237644022, + 21394704, + 18123825, + 724149981, + 302630605, + 328909429, + 541812005, + 269743978, + 902189488, + 733845154, + 379746703, + 125592107, + 356348040, + 898544769, + 742083643, + 638662725, + 861458055, + 300704556, + 57960267, + 594348857, + 273938190, + 582957275, + 45761410, + 490665613, + 374629510, + 294037919, + 904040790, + 175524620, + 823512783, + 185239212, + 542256019, + 634630394, + 762726173, + 111593753, + 392390659, + 507474845, + 614478438, + 509120492, + 967479295, + 570781248, + 204366439, + 43729486, + 305249271, + 379815559, + 326375174, + 598175359, + 77027376, + 222130061, + 689566924, + 127085324, + 841837324, + 493629956, + 308368220, + 815004732, + 94011610, + 934500887, + 532192852, + 52085408, + 101605081, + 573464966, + 902797262, + 511750870, + 533480792, + 975644147, + 838130212, + 44067041, + 775639688, + 717380387, + 677544053, + 879614676, + 849979561, + 488806939, + 292690755, + 569430596, + 399265537, + 273423626, + 451424875, + 283165157, + 51614068, + 719900712, + 251749337, + 477550408, + 729368883, + 712658770, + 442348107, + 500498376, + 533765664, + 429132549, + 869559432, + 28391562, + 565553705, + 47536227, + 105120973, + 659717322, + 211334714, + 675586740, + 672214740, + 520625067, + 59518038, + 363774808, + 412520611, + 168758003, + 125511572, + 274552628, + 998319631, + 819850490, + 127700024, + 345733417, + 866491539, + 260958064, + 747458265, + 756555289, + 467356946, + 49025781, + 888989615, + 18955356, + 943318907, + 223375917, + 472322509, + 839264788, + 962731500, + 18373763, + 674186799, + 483691233, + 287699619, + 394382480, + 249063594, + 177133931, + 509862015, + 300434737, + 517869700, + 162903855, + 887831408, + 17081290, + 832372463, + 193902147, + 618744624, + 949572142, + 400018469, + 365338013, + 993611400, + 322078411, + 14412190, + 316317087, + 461222651, + 724835889, + 216746160, + 422324153, + 758037318, + 523416651, + 25971966, + 397736414, + 947742921, + 602889233, + 253001174, + 366678080, + 335732288, + 330947431, + 606806497, + 365220294, + 1462533, + 493351584, + 15010989, + 399621255, + 599092291, + 841883837, + 19304563, + 456186135, + 449885657, + 841039626, + 177284185, + 111779506, + 147872243, + 179645108, + 956344328, + 115186766, + 812040138, + 762983109, + 772874994, + 307718072, + 264128625, + 131825355, + 220738025, + 560712238, + 426321346, + 926309996, + 694145216, + 721149714, + 974693059, + 965643779, + 822697210, + 277136118, + 738418906, + 822884858, + 469382809, + 244975983, + 72422893, + 825364137, + 780016878, + 706408504, + 769934716, + 687462176, + 722060755, + 10435324, + 566990662, + 532170938, + 383736607, + 99254347, + 575147745, + 997568637, + 720203232, + 943868770, + 436527114, + 415693868, + 259218282, + 722085351, + 518246840, + 789285592, + 898287526, + 449102767, + 793181179, + 806927494, + 859547188, + 438742317, + 940060614, + 292255655, + 958912907, + 371037362, + 201573712, + 981341186, + 288688140, + 430325864, + 320442932, + 780183623, + 577630137, + 713001794, + 303340728, + 611301852, + 428218252, + 186955055, + 278908837, + 270473175, + 183226485, + 178703264, + 771768930, + 720853870, + 88148198, + 378287345, + 339613481, + 348088268, + 245394542, + 836716854, + 759825472, + 908951770, + 237515786, + 735892832, + 211334542, + 231098168, + 216322645, + 218098514, + 631449621, + 687141486, + 265281288, + 278197432, + 69428162, + 108040680, + 328544366, + 800536756, + 970680472, + 699575151, + 898791987, + 78968650, + 16307726, + 622702406, + 448488082, + 367967619, + 577500600, + 487433747, + 350902033, + 207444368, + 6486453, + 997194843, + 91199240, + 781881569, + 565525725, + 524532906, + 950308773, + 520693729, + 734788432, + 242228010, + 818281151, + 629790800, + 648718418, + 904644692, + 121402358, + 474885458, + 980084251, + 615086010, + 463128921, + 344573756, + 525003540, + 723318395, + 976922538, + 317083106, + 283296013, + 862407203, + 167985345, + 840442640, + 350835330, + 409934654, + 849550879, + 323058386, + 772099836, + 607885987, + 699209238, + 346998251, + 52642402, + 391352374, + 780698389, + 317688305, + 655360324, + 170564486, + 991941413, + 825350213, + 279660862, + 437709892, + 460395511, + 522703863, + 282638873, + 798741780, + 303949678, + 21507056, + 440826544, + 935580456, + 566382606, + 310315614, + 816346169, + 768483402, + 621481847, + 423729807, + 792883632, + 304454996, + 114261947, + 293553660, + 99659489, + 448387087, + 199109541, + 952110272, + 836308647, + 797452788, + 192339000, + 549022692, + 871819452, + 164626996, + 378127861, + 539590116, + 358073785, + 367549194, + 840830866, + 660700424, + 427730165, + 54297020, + 356442819, + 290476152, + 220104825, + 459576902, + 999402942, + 896686287, + 445426452, + 643790002, + 513075886, + 82525027, + 169543716, + 698723951, + 759581233, + 699779422, + 683931787, + 794687063, + 829398661, + 516972090, + 602261659, + 308926345, + 677469924, + 670347735, + 945214899, + 825680089, + 8241522, + 182300987, + 402365909, + 952625971, + 476530458, + 300288408, + 345324021, + 357096280, + 710901085, + 367581301, + 394396551, + 425243208, + 344131463, + 924836572, + 285854297, + 71337918, + 105265701, + 715685044, + 516631475, + 366651059, + 657335452, + 345644403, + 948985305, + 919964644, + 635711434, + 528617184, + 11366851, + 534289110, + 675785459, + 534705671, + 76126783, + 816006469, + 995607326, + 384685882, + 199831315, + 612393616, + 528644132, + 957754555, + 209018611, + 934033111, + 978354087, + 894623191, + 418261699, + 697116900, + 44726549, + 778752118, + 766178863, + 216824018, + 703269954, + 35429709, + 542796113, + 239394651, + 582379406, + 233127181, + 406048947, + 558900170, + 204179245, + 417179470, + 771912667, + 482475141, + 422713235, + 243589721, + 466910617, + 315029013, + 519291465, + 333177672, + 70010498, + 592445348, + 751078960, + 779163065, + 277967051, + 84403913, + 534077, + 394046359, + 288873084, + 981985836, + 977690679, + 873750047, + 551270972, + 164832864, + 145061495, + 416200494, + 974295365, + 344822591, + 566522641, + 394473699, + 859961900, + 446188157, + 468269894, + 334770446, + 434540463, + 525282703, + 518008808, + 138474383, + 25529740, + 182237390, + 151235695, + 26344826, + 33531072, + 445908646, + 66380264, + 595050779, + 210308128, + 602383865, + 841614987, + 759122598, + 936076986, + 977793448, + 33324623, + 789627345, + 327289047, + 311287224, + 591140580, + 516757792, + 61023073, + 341015749, + 403758670, + 447860175, + 584666818, + 670864171, + 632952801, + 416670365, + 318826498, + 496678871, + 76700048, + 402700754, + 684300700, + 531450029, + 816085483, + 665673479, + 808178120, + 412534582, + 994907815, + 96165668, + 791820198, + 32425513, + 414852364, + 894644088, + 875719614, + 20165962, + 129529423, + 309917181, + 586839102, + 252804809, + 272937772, + 405548376, + 747082929, + 918847590, + 892213693, + 448849161, + 287943630, + 560520722, + 41099651, + 344069311, + 858964086, + 769684170, + 703576234, + 391544911, + 92824821, + 615926077, + 769602053, + 916677045, + 102206603, + 318539689, + 74144617, + 703594238, + 691287905, + 942643365, + 618831238, + 933114262, + 176965299, + 383399242, + 850203575, + 33759475, + 650444141, + 375407612, + 857817471, + 778523635, + 221032336, + 777163111, + 200514448, + 703357632, + 165062472, + 554418890, + 281181784, + 21261289, + 864941665, + 576299760, + 913282810, + 802828768, + 90390955, + 895759223, + 743317362, + 917647131, + 374328911, + 755006595, + 78037841, + 203981221, + 141915330, + 123334474, + 544662014, + 894688957, + 3129072, + 954368147, + 141821580, + 247950886, + 697919323, + 73395494, + 808137480, + 767182913, + 469678548, + 595572320, + 740725689, + 337268045, + 53922488, + 414351769, + 788250364, + 451288814, + 660008309, + 277769666, + 370460378, + 202117331, + 166543654, + 909647841, + 667049197, + 133447098, + 538465467, + 750734303, + 975797291, + 781114222, + 696021313, + 864547752, + 303517401, + 416907372, + 688001548, + 420072397, + 236845950, + 699674629, + 277380358, + 676434434, + 949337122, + 138406650, + 265935489, + 286705836, + 189162265, + 285574170, + 995700635, + 598584002, + 768369647, + 43546280, + 713026718, + 927855402, + 645725818, + 261903090, + 916533087, + 624912356, + 879589763, + 206625452, + 555431775, + 955024790, + 624556438, + 936743494, + 31358075, + 838955981, + 688128976, + 999217717, + 627490669, + 996100033, + 725827911, + 580876210, + 330838545, + 66631684, + 538614394, + 489633817, + 521347772, + 434313671, + 414628404, + 910033903, + 167448328, + 315242897, + 964579390, + 457698856, + 393133320, + 912362879, + 422170362, + 625976039, + 426071329, + 395426705, + 24146330, + 402982785, + 584732950, + 951238810, + 668978060, + 896681061, + 399958118, + 372286825, + 906345022, + 361242009, + 642826278, + 602671653, + 59921087, + 470883790, + 6171240, + 221901154, + 80530451, + 940572475, + 369272976, + 159050404, + 626040046, + 789581909, + 849195667, + 961184889, + 919727631, + 983864478, + 357121036, + 827878426, + 811879156, + 171836076, + 250128627, + 933243951, + 30589691, + 225427713, + 882202893, + 566548791, + 938475743, + 127341287, + 915741228, + 766555079, + 1587683, + 116582782, + 931155138, + 574312519, + 310839147, + 314016824, + 401561679, + 428044190, + 497317200, + 872400778, + 417863236, + 954613895, + 489975298, + 597460299, + 954001842, + 207119449, + 239738147, + 371129008, + 707484338, + 954659810, + 922336765, + 542583172, + 670247651, + 636164531, + 205599344, + 62718669, + 460037520, + 196880465, + 739780648, + 212633100, + 27012885, + 736275764, + 631100032, + 10051694, + 747146176, + 746685209, + 906101682, + 638654241, + 3665865, + 451057269, + 973533707, + 273054449, + 550430595, + 6111708, + 564292081, + 58941981, + 778661486, + 670828682, + 659013828, + 309910666, + 259254310, + 158950106, + 370078691, + 863150754, + 46272462, + 397948660, + 173077842, + 846997377, + 42851308, + 95765996, + 763537080, + 703396496, + 673249894, + 691860202, + 551891619, + 837976032, + 884398172, + 73793849, + 905707761, + 317074207, + 164652720, + 470142916, + 562619110, + 512753340, + 986492838, + 642777847, + 6354271, + 359970889, + 801994792, + 845070482, + 785934339, + 360976462, + 334116721, + 992059265, + 362900116, + 245354145, + 676033522, + 505767025, + 140117135, + 233586667, + 66056534, + 278047158, + 993172274, + 509972581, + 223966186, + 972589452, + 330989404, + 254798936, + 723919868, + 592922515, + 187272287, + 187999862, + 793225844, + 312073504, + 833592618, + 106063724, + 287152445, + 692831144, + 558874070, + 136455, + 734432171, + 253967746, + 277617807, + 576753285, + 359764178, + 551347414, + 693962746, + 19094212, + 67450498, + 445978811, + 37677300, + 449619456, + 145710235, + 609178657, + 355428884, + 834651818, + 801628964, + 96016193, + 564767128, + 378598268, + 203346166, + 976963112, + 381938699, + 886140668, + 778394259, + 359673223, + 377476822, + 143427020, + 934353337, + 979958483, + 635584437, + 319117582, + 178804381, + 234172140, + 851191527, + 957856759, + 819713313, + 48368099, + 313379989, + 265141668, + 27578257, + 421889592, + 873158703, + 914122338, + 523946218, + 880484083, + 707135768, + 208939077, + 318179490, + 967159963, + 629485146, + 386213878, + 801049463, + 722273795, + 991523032, + 250267709, + 126537048, + 81496523, + 640515931, + 198373371, + 624406397, + 690392596, + 136691034, + 555056998, + 555406152, + 884538362, + 123571657, + 749630188, + 800979894, + 244587021, + 83303463, + 370619012, + 619518176, + 157275768, + 11497896, + 622720070, + 671269785, + 523282528, + 804156335, + 662596981, + 194858145, + 29610450, + 476781315, + 764794912, + 854829465, + 203694909, + 815136602, + 656488244, + 90577211, + 656491398, + 601229421, + 383190077, + 62103533, + 360943589, + 538290737, + 526682119, + 670442866, + 769246126, + 227917602, + 557877997, + 274962456, + 939530476, + 872630531, + 968579987, + 266390249, + 237029062, + 407334818, + 349939367, + 369895639, + 371741323, + 824838518, + 131948779, + 285637578, + 280763227, + 354878016, + 547578866, + 689476647, + 727212434, + 824487586, + 194384146, + 98863431, + 621469240, + 926253645, + 747369952, + 212688618, + 939484429, + 120734020, + 566618824, + 614910812, + 179381690, + 171084273, + 826779925, + 942069745, + 345361741, + 280173662, + 360116255, + 697606655, + 419345688, + 537275267, + 661058480, + 47022952, + 47462942, + 509742274, + 58329263, + 773025156, + 400566257, + 745855834, + 30907139, + 506000243, + 779257994, + 246513674, + 355884307, + 166800364, + 834782723, + 396558241, + 948565471, + 577477205, + 304789289, + 11407914, + 971190835, + 381684561, + 905575601, + 909173908, + 648280308, + 485640651, + 58122435, + 384028336, + 290523459, + 696595799, + 847206463, + 214293134, + 973786974, + 25808633, + 943138330, + 689613278, + 354657283, + 918895405, + 109585189, + 492224537, + 305621500, + 844449536, + 1981115, + 810973767, + 851395130, + 719637352, + 274906634, + 877142623, + 562281547, + 167072742, + 837587774, + 444480348, + 753273110, + 494400930, + 793335570, + 495633575, + 635973932, + 177437975, + 170486243, + 255364801, + 331484739, + 465741292, + 186863186, + 171779898, + 114244391, + 725082975, + 210555636, + 743904882, + 597860982, + 253161427, + 161114031, + 634119906, + 550759000, + 836848822, + 21689123, + 369446673, + 588286219, + 55398026, + 230573389, + 731041143, + 945731857, + 220233530, + 483267707, + 967827554, + 942676206, + 98628368, + 754374776, + 114941647, + 81140203, + 416223918, + 676441875, + 675455920, + 132599917, + 426846667, + 73361693, + 185033784, + 750489822, + 39651952, + 405973134, + 465673550, + 509036968, + 818463127, + 265241464, + 917527218, + 188951446, + 504349793, + 32883883, + 848637096, + 53285478, + 547199763, + 558653589, + 128690823, + 704496015, + 622874009, + 323620467, + 564213773, + 111470097, + 589725659, + 165858007, + 502967771, + 667204064, + 571311880, + 331891928, + 18241935, + 472560382, + 172068734, + 583812279, + 794158111, + 354478823, + 257078024, + 751880093, + 593443902, + 651965532, + 75093005, + 208425507, + 156636638, + 524092256, + 183167082, + 495736626, + 794473942, + 492658390, + 166195496, + 768407698, + 768950583, + 437172722, + 35665201, + 817233433, + 80438376, + 907797398, + 749557771, + 898026295, + 683045057, + 151519936, + 827194715, + 764204640, + 217458895, + 133776319, + 144599035, + 411921019, + 704204086, + 611453839, + 374162114, + 824891507, + 164122143, + 836589849, + 605615611, + 217859112, + 902662874, + 394831311, + 637607254, + 575169282, + 800030381, + 497002710, + 650997486, + 362524743, + 747174634, + 655357890, + 305956891, + 925098283, + 523114204, + 387867506, + 889697959, + 688435396, + 165792841, + 768286970, + 389520063, + 387448565, + 118633801, + 787226464, + 650070003, + 429046251, + 163609428, + 34668457, + 45521116, + 507464393, + 393924576, + 389093615, + 372333314, + 360527568, + 965853717, + 266071460, + 660485360, + 191997465, + 916152290, + 651805856, + 598368600, + 237711689, + 38559696, + 428570160, + 974216749, + 133675820, + 6280369, + 168162907, + 569527871, + 878645378, + 156226192, + 350193805, + 331679186, + 300322035, + 482208536, + 321889727, + 24446613, + 941566190, + 908115494, + 731258454, + 161618923, + 998974512, + 326543059, + 961746990, + 74503316, + 308675290, + 469927472, + 494480207, + 936011220, + 464596640, + 624191746, + 456928972, + 739597217, + 343796821, + 478940258, + 659655766, + 596736287, + 406440355, + 807422328, + 734603455, + 973533709, + 175194365, + 6802303, + 286586552, + 448621027, + 534532358, + 96179426, + 292135459, + 407754378, + 652593551, + 631127561, + 412208706, + 408544449, + 420583980, + 583759519, + 761581033, + 319115566, + 62674934, + 279907075, + 138681886, + 421503296, + 102404411, + 295022457, + 63742111, + 187607382, + 895411841, + 680644612, + 23632721, + 540849616, + 330412243, + 150963154, + 76280870, + 501598607, + 123651771, + 952848533, + 117513319, + 97193703, + 487513383, + 386282671, + 958151797, + 289889111, + 485698810, + 104645018, + 780481315, + 38401948, + 670669890, + 639501121, + 938114816, + 219689111, + 520213635, + 262283309, + 901302393, + 145396696, + 308235606, + 724188792, + 781008513, + 719237187, + 889455717, + 591210483, + 225588961, + 27177056, + 668694747, + 815247160, + 948883962, + 580962229, + 679734409, + 469728341, + 323015353, + 221388750, + 661419368, + 389042475, + 718632833, + 77164446, + 482039392, + 337108227, + 636911021, + 182274850, + 630942894, + 140126897, + 887542240, + 472317092, + 321141246, + 814471726, + 117989669, + 54600151, + 473343111, + 700815318, + 465520622, + 20765598, + 836280753, + 216748760, + 763550341, + 127731477, + 255967670, + 259660875, + 647270634, + 477714936, + 283381924, + 52246746, + 230281456, + 984787639, + 829501764, + 972165415, + 906448818, + 969318173, + 462507029, + 92552300, + 863123364, + 765538974, + 437440798, + 756256034, + 923776637, + 32056350, + 24811060, + 886981298, + 602058500, + 264335022, + 746931616, + 411491479, + 837213410, + 820041357, + 693066443, + 611621254, + 746392781, + 855064473, + 292305280, + 388639735, + 233304939, + 966715940, + 41113925, + 403423047, + 708150866, + 568135508, + 776887607, + 374190086, + 924389812, + 714248582, + 904221726, + 152741436, + 879016637, + 864085822, + 59878782, + 339091149, + 818546947, + 988330764, + 97271430, + 441932814, + 691402693, + 225305253, + 78986220, + 316841370, + 313930023, + 141049949, + 839597275, + 244201107, + 443706712, + 96415466, + 105961813, + 840280439, + 188656385, + 211266547, + 227850165, + 924837827, + 239145553, + 526357369, + 126252816, + 374500394, + 682798911, + 493768817, + 639718544, + 106228260, + 117340982, + 649501511, + 96618806, + 162317011, + 874923341, + 549469094, + 282734706, + 815314049, + 361274868, + 512377781, + 911884384, + 131613660, + 663684499, + 419153345, + 249152862, + 322501649, + 188572320, + 498036905, + 878038981, + 593843880, + 169870020, + 616140121, + 770874675, + 100848267, + 55104098, + 329740501, + 394034196, + 572975122, + 894579573, + 998198764, + 106549152, + 227666644, + 2836009, + 765729681, + 623818589, + 927027639, + 176660416, + 513200766, + 225882058, + 857449297, + 644087563, + 881121435, + 595379135, + 507260066, + 413532575, + 716775216, + 221341108, + 36370262, + 506327199, + 415802787, + 924595018, + 654820986, + 330125572, + 262200142, + 184486541, + 510103948, + 830605770, + 134837001, + 94269470, + 478558788, + 235182575, + 60056264, + 805417912, + 88630908, + 563426627, + 218106157, + 565231815, + 419109602, + 206642620, + 918525837, + 62112315, + 422005459, + 16639142, + 312842017, + 182910673, + 76826371, + 846928365, + 356232375, + 484898203, + 337821222, + 465872814, + 944088378, + 15087559, + 128258020, + 778049658, + 284849438, + 784457504, + 46880140, + 505785892, + 746956277, + 508179008, + 447883665, + 919324739, + 608501290, + 830995999, + 485924863, + 465375762, + 482114104, + 340130703, + 17093569, + 811399868, + 70430942, + 458342214, + 210155644, + 40316310, + 329950439, + 287198863, + 534650769, + 114407704, + 130577434, + 732230435, + 499066347, + 74131918, + 550179784, + 898442144, + 764086520, + 358950083, + 766651477, + 725557112, + 473666552, + 228164578, + 436371007, + 81359423, + 530979699, + 190238962, + 447048702, + 530559015, + 560197666, + 33071433, + 728001303, + 63608677, + 93676469, + 596005987, + 848681828, + 749544233, + 717900358, + 872554931, + 856171127, + 428183314, + 303951902, + 452565174, + 107475052, + 299238894, + 645010815, + 414789583, + 773897863, + 343830692, + 376562730, + 660394972, + 486295161, + 124868762, + 669751826, + 751470236, + 634277053, + 156396053, + 498138641, + 292729184, + 573010447, + 100913693, + 369560033, + 182003488, + 511811917, + 736236010, + 437125361, + 949374004, + 490046333, + 963246738, + 259620333, + 62521003, + 774297932, + 955152851, + 349796873, + 96644811, + 684452761, + 225123239, + 495654107, + 665507123, + 644826919, + 898484919, + 221611021, + 985274848, + 131251482, + 311112178, + 70136389, + 181540010, + 734200283, + 913073446, + 464769328, + 177172138, + 5261052, + 827149502, + 474126408, + 565820391, + 219211892, + 909448638, + 241715063, + 308749550, + 14472089, + 569050805, + 343535526, + 930181590, + 833644264, + 893491197, + 271090975, + 513530281, + 940042284, + 192547564, + 402588308, + 682207499, + 41912788, + 400557369, + 256361116, + 636869369, + 23739839, + 614110853, + 604785610, + 462690687, + 74326839, + 895282858, + 887949286, + 760621772, + 334884756, + 513525968, + 156437406, + 29951050, + 397526164, + 112040868, + 833070821, + 295693385, + 132005261, + 255298664, + 92467741, + 631210150, + 759483409, + 36629504, + 898419620, + 972486626, + 191051388, + 774826495, + 913095695, + 413846008, + 616358602, + 338284152, + 166215278, + 172269282, + 212904639, + 458350559, + 545964413, + 97697848, + 755076026, + 338637972, + 49234415, + 36442070, + 329728118, + 563346499, + 532091694, + 685054867, + 604027800, + 14829640, + 182546154, + 176340308, + 5970052, + 1529375, + 962178547, + 634141329, + 465778999, + 516715593, + 853361205, + 431091494, + 501136499, + 347458881, + 572265056, + 710173427, + 45770766, + 220881277, + 676748598, + 745303721, + 558894565, + 57210969, + 643780362, + 412898655, + 478867975, + 152215999, + 569997057, + 267873507, + 249443369, + 235410360, + 428703886, + 181261863, + 241561832, + 511995468, + 68413166, + 811839632, + 303936858, + 812875274, + 654739770, + 834689175, + 951191218, + 688404255, + 204284885, + 196593660, + 64841274, + 45386093, + 673865389, + 529302137, + 220409501, + 379534571, + 813213470, + 560408080, + 547992729, + 44453022, + 331186382, + 475814994, + 64313694, + 814578431, + 514007812, + 16672094, + 802306469, + 972459441, + 1405550, + 384064935, + 595300303, + 578709177, + 434360356, + 18570009, + 492655091, + 743778801, + 676181087, + 103725683, + 480492340, + 563294075, + 617802667, + 679123288, + 785004296, + 337531899, + 780442449, + 933421412, + 266253070, + 834571921, + 532186986, + 633963417, + 893331951, + 802755188, + 596103921, + 13785244, + 4098596, + 229324060, + 345622909, + 976191160, + 204998233, + 655690564, + 255276044, + 379248461, + 397004064, + 254245716, + 184762418, + 94922417, + 992515947, + 256114901, + 422046468, + 51468799, + 52340223, + 688582806, + 687906851, + 572036359, + 819276210, + 538339145, + 553178285, + 626307946, + 732707498, + 815952838, + 687854363, + 606507813, + 748085220, + 324390051, + 167219874, + 686451017, + 15435942, + 234405244, + 259246610, + 678499730, + 689580899, + 663503503, + 353470968, + 869455633, + 690144856, + 43720259, + 957047650, + 781346303, + 489283000, + 961001681, + 768259120, + 563994147, + 298249992, + 765666580, + 586816110, + 669859053, + 164042926, + 36223189, + 366936781, + 388461061, + 385332579, + 781593369, + 872854379, + 679735822, + 309149234, + 165421338, + 118607777, + 986229295, + 548718956, + 183337636, + 437938332, + 841444483, + 110634513, + 848880614, + 308441849, + 974393552, + 874895908, + 891697552, + 534909088, + 885995416, + 230606857, + 67928181, + 969245224, + 311475631, + 88682426, + 803392596, + 628456979, + 741452262, + 666455945, + 914324247, + 126435115, + 582512021, + 519272548, + 451281495, + 445846504, + 9340113, + 857461169, + 66787062, + 759500984, + 968040814, + 142876765, + 580470482, + 423852676, + 602328049, + 139337477, + 11517719, + 703464644, + 978035012, + 146970103, + 127319194, + 936176880, + 606045078, + 242073569, + 332581814, + 948270084, + 794393449, + 421769255, + 93068290, + 935215521, + 292073598, + 321062439, + 483426274, + 780692179, + 419041235, + 64015594, + 66295981, + 676436652, + 581821969, + 960822588, + 73672453, + 579836988, + 82330549, + 516742276, + 221577086, + 425104969, + 976741976, + 236762320, + 332853018, + 545053451, + 373746288, + 717925409, + 62024803, + 100391442, + 233542162, + 130767988, + 875196115, + 665249421, + 159270098, + 626072642, + 658319413, + 751338394, + 146901992, + 207350173, + 788318092, + 101182383, + 241154502, + 971649735, + 409785466, + 698181415, + 203642481, + 812299850, + 324022699, + 962931526, + 62539015, + 688597261, + 282811166, + 663467257, + 482006783, + 187847878, + 354765320, + 134338525, + 531267570, + 877718625, + 789444174, + 744543442, + 935859526, + 904182496, + 610004400, + 515797688, + 317200449, + 591291342, + 685184438, + 118667186, + 768625404, + 219201766, + 469258478, + 403895575, + 294611592, + 876292847, + 777345433, + 379809622, + 51052012, + 292041340, + 492392263, + 767892361, + 615218279, + 999298346, + 779972011, + 900891841, + 571241560, + 307078275, + 998736286, + 642246553, + 959601829, + 320119988, + 382511917, + 662441686, + 178480874, + 247654954, + 929544249, + 344463283, + 477424845, + 451202124, + 189567238, + 400523867, + 975841121, + 392592330, + 11305005, + 792514394, + 350777665, + 221506667, + 649603846, + 903428383, + 868488500, + 992010851, + 244213724, + 522071303, + 399331904, + 752846266, + 717446057, + 784245358, + 464632713, + 713090267, + 629901542, + 5979383, + 161049790, + 707976485, + 410108815, + 555842951, + 772616111, + 220238375, + 741365887, + 799413046, + 176572416, + 851316727, + 926962134, + 223149574, + 13540494, + 378737186, + 992998791, + 590823221, + 672504243, + 761070300, + 555175928, + 500008875, + 853134766, + 866974787, + 405924346, + 540839602, + 285927771, + 824890779, + 431436321, + 484183082, + 443026111, + 896769395, + 38004515, + 665761414, + 610806104, + 873335971, + 436742526, + 797176470, + 247162340, + 143293563, + 352355954, + 590806481, + 637428822, + 706361473, + 406562930, + 888393574, + 711896362, + 57238668, + 215002429, + 866296990, + 804173396, + 144375390, + 211537060, + 534865171, + 137994320, + 177022526, + 273808417, + 552052594, + 345234863, + 33078003, + 748187637, + 603670321, + 107893423, + 904905425, + 425626013, + 501838856, + 546161906, + 734164157, + 529104215, + 792152139, + 355093769, + 761995153, + 140357303, + 83384383, + 514916641, + 174771544, + 21125058, + 624900121, + 266162051, + 605272175, + 653629142, + 681851646, + 568736596, + 132540582, + 767448160, + 799996207, + 135942914, + 655733352, + 366303819, + 793280790, + 611307483, + 916268811, + 178812712, + 840116499, + 338407692, + 682996055, + 894778566, + 167853599, + 731381734, + 916442293, + 546891301, + 667358817, + 219974891, + 505135635, + 426043596, + 810986119, + 655034577, + 257103093, + 661292476, + 185861926, + 307767284, + 153894013, + 506821987, + 508980076, + 66632587, + 571228972, + 660551259, + 246533494, + 19579730, + 576449067, + 554374940, + 153977045, + 628969390, + 226017798, + 246351962, + 388977965, + 53900891, + 354115890, + 498658072, + 756071954, + 850359907, + 93994583, + 436697835, + 720723736, + 515721514, + 613434902, + 106865457, + 505947037, + 638403860, + 808295164, + 729253157, + 880018396, + 81162229, + 711371909, + 938192712, + 945251039, + 859134601, + 261770885, + 709373395, + 553953846, + 345946735, + 272986839, + 225462337, + 595387169, + 98283278, + 462863000, + 164134955, + 227957351, + 557935994, + 367290060, + 234615338, + 383629127, + 400474607, + 423925389, + 842745965, + 32078394, + 24310237, + 634158729, + 89400319, + 591082560, + 903585444, + 776117466, + 109950290, + 684585224, + 364465125, + 804623536, + 412109860, + 711942302, + 18311294, + 245897873, + 453014637, + 55152324, + 865389273, + 149518297, + 377974439, + 833211359, + 333945366, + 769963559, + 75356638, + 645490890, + 681127287, + 391679875, + 390282160, + 371660941, + 257553030, + 52615770, + 798331209, + 887546323, + 836556725, + 152532505, + 873006083, + 126803876, + 835365876, + 109134314, + 242953122, + 129750628, + 761392837, + 779969953, + 153392061, + 476714365, + 507910267, + 764927499, + 633279638, + 669276538, + 609436605, + 725832898, + 598418539, + 370711033, + 696251734, + 232928331, + 630167100, + 257926743, + 197299157, + 101098435, + 11895779, + 389301816, + 801476641, + 70887541, + 852310241, + 309380863, + 225539641, + 679665913, + 461241915, + 553035879, + 639447514, + 200877404, + 517417934, + 164014871, + 744383796, + 54007431, + 224962933, + 738387277, + 722292966, + 156298937, + 249747051, + 984485339, + 295141878, + 901871191, + 640921448, + 942569742, + 815469543, + 656219174, + 900546188, + 632180714, + 369072909, + 162001296, + 20760452, + 564674219, + 835753474, + 10856907, + 887290682, + 43029118, + 923480493, + 860275255, + 87039872, + 776583885, + 797943828, + 720684466, + 958498647, + 984037133, + 477909959, + 321340543, + 891179127, + 220707342, + 89717912, + 383691709, + 946552488, + 69462298, + 550589688, + 799931487, + 469893510, + 268830432, + 894299794, + 305961871, + 981052648, + 572534218, + 181346385, + 105499890, + 250194, + 872667217, + 956700602, + 315409740, + 802200404, + 752690264, + 121410575, + 334993662, + 196414735, + 832492768, + 10430822, + 867400784, + 356046982, + 960588787, + 359461879, + 271850193, + 979439225, + 31497354, + 866349260, + 833557393, + 658854508, + 706833655, + 708388751, + 248058960, + 142610128, + 930394695, + 799924094, + 835865530, + 229237829, + 701905081, + 412365567, + 707752529, + 357127092, + 810034856, + 846761987, + 656934889, + 783737450, + 211880334, + 569314146, + 836198760, + 741944298, + 259229372, + 840911744, + 472239924, + 788209950, + 423830439, + 489493141, + 197526530, + 115721397, + 633897245, + 768787423, + 94659410, + 281777707, + 568557542, + 719512776, + 961443319, + 971386178, + 73647506, + 47079709, + 102893908, + 384097448, + 332681764, + 36731856, + 392588047, + 764509957, + 988628050, + 690175947, + 664984852, + 985672183, + 883168283, + 531806955, + 493968347, + 877150840, + 209032568, + 271336061, + 454810027, + 475272578, + 832406769, + 62139852, + 615806882, + 212908758, + 760462569, + 288876513, + 89154227, + 730533561, + 79779648, + 603794215, + 913442975, + 44766524, + 373544249, + 531817658, + 528441954, + 486228888, + 556657020, + 269613074, + 193296809, + 764389271, + 635160535, + 190641955, + 377186741, + 108495269, + 513151972, + 589046392, + 8602755, + 50594510, + 176129120, + 873052628, + 811199530, + 647077247, + 173554404, + 53112316, + 956513949, + 478752432, + 20470136, + 125904903, + 158014537, + 716075221, + 235589274, + 482410508, + 866212216, + 790702026, + 82815604, + 77029717, + 913465628, + 222536605, + 85054611, + 306337598, + 993575545, + 977995019, + 481851437, + 920812533, + 868626338, + 782528655, + 160180081, + 18077935, + 461059224, + 560186127, + 850018463, + 424182941, + 654163302, + 222488716, + 10256981, + 847556410, + 403050898, + 508968671, + 746240266, + 333294953, + 262243502, + 118428282, + 21564048, + 15181469, + 811054867, + 992703648, + 91839244, + 147793301, + 87850505, + 500497479, + 229523453, + 870672814, + 657004922, + 217029909, + 969353578, + 116920950, + 620054016, + 842810726, + 500984010, + 677489002, + 679168369, + 41564173, + 315250962, + 868043614, + 204039227, + 565683346, + 831533692, + 806000751, + 326332420, + 391191059, + 305020645, + 941826191, + 17186278, + 824892410, + 134307296, + 788432171, + 291957981, + 878976367, + 172348229, + 213818755, + 703021027, + 303508303, + 555336737, + 358800521, + 184889011, + 830421811, + 659712179, + 306044163, + 248837509, + 457761546, + 611085549, + 267850848, + 632506504, + 296497750, + 836215576, + 189855820, + 140032771, + 146409046, + 411628952, + 749274722, + 386590667, + 459005739, + 645936650, + 401483197, + 485950202, + 516442988, + 768244910, + 961052450, + 692361752, + 793501724, + 330883650, + 143138272, + 252531601, + 512221284, + 999049882, + 315272965, + 311766223, + 417656279, + 360721642, + 714067250, + 510577557, + 10837148, + 563844378, + 347380557, + 936695487, + 696974712, + 300025871, + 81438137, + 443964501, + 510470680, + 988913231, + 404580211, + 659377072, + 694064696, + 989397113, + 662322212, + 941588695, + 89194804, + 453469784, + 920489560, + 305552781, + 741781491, + 68173110, + 362242289, + 156518930, + 316399963, + 301533072, + 126304930, + 830853669, + 961339731, + 635118737, + 675024543, + 62491937, + 799161690, + 729766092, + 560468978, + 798423685, + 702084912, + 507047615, + 951047110, + 106712354, + 426041823, + 626350523, + 582533119, + 898470229, + 752921218, + 945176809, + 629906760, + 398341733, + 456065360, + 903773315, + 987252827, + 915091595, + 263008477, + 355972536, + 977503906, + 982438077, + 74890398, + 491482432, + 42528573, + 727628212, + 514691220, + 258058808, + 540751102, + 180193999, + 889888881, + 570583758, + 418461411, + 724001852, + 559951606, + 764716344, + 998592253, + 675745745, + 441215420, + 98157543, + 896273590, + 973382377, + 778867677, + 945485768, + 582834337, + 67171212, + 331328640, + 944809020, + 482413825, + 214790203, + 514397300, + 159079388, + 830102444, + 589394925, + 124173729, + 775617282, + 970606297, + 132275341, + 991229881, + 62712924, + 107616951, + 681252251, + 904448150, + 428671037, + 651794328, + 189459514, + 605123256, + 445978191, + 22441708, + 176819952, + 413159888, + 134087111, + 855664427, + 695622054, + 330995284, + 285858328, + 686630429, + 594779598, + 622233660, + 611350147, + 718272547, + 114704604, + 927518455, + 857911838, + 603121300, + 404478076, + 625916027, + 462289930, + 997011482, + 741125465, + 730947637, + 169307885, + 655708396, + 711616632, + 735386893, + 658579149, + 569288636, + 477798521, + 681322620, + 5804326, + 995985714, + 393474749, + 853792403, + 603601887, + 78699766, + 852329616, + 24118142, + 423357650, + 385227354, + 858799805, + 690901980, + 607122000, + 149343097, + 411395371, + 394632816, + 340423309, + 733513440, + 544661042, + 87555993, + 329665262, + 59354086, + 922980016, + 557638742, + 914737796, + 620348434, + 896429734, + 547228135, + 834738687, + 660734821, + 137167733, + 830240000, + 511622912, + 807254286, + 970536620, + 641764585, + 794529024, + 192210347, + 121389060, + 497099197, + 99361069, + 227586650, + 610153541, + 866567829, + 443762790, + 95507701, + 506147194, + 654789716, + 991266106, + 571491373, + 872338392, + 768088112, + 874278444, + 971201339, + 718587376, + 348082345, + 566757563, + 443335132, + 776132422, + 778122976, + 985347431, + 190390745, + 38541135, + 674262698, + 785024726, + 27716429, + 803143706, + 433979900, + 64636589, + 238339954, + 53235219, + 210466020, + 158379120, + 875308463, + 367740048, + 372293868, + 753720663, + 399499405, + 667224273, + 971410951, + 342962787, + 933527037, + 476132832, + 125948861, + 536317697, + 48137010, + 466080253, + 197824550, + 245035368, + 341261197, + 543233450, + 55811546, + 726681132, + 964224160, + 201779490, + 893369030, + 541353218, + 725169368, + 541133225, + 159165321, + 133885138, + 698453426, + 629988985, + 551982076, + 517004587, + 254234687, + 27790039, + 383908732, + 123069613, + 131850383, + 434176995, + 531244357, + 484850168, + 498131765, + 138598196, + 113482497, + 778416353, + 94721209, + 451190893, + 159977821, + 679427274, + 995045116, + 958321411, + 434125642, + 839961475, + 478284216, + 400450716, + 246398862, + 318671510, + 642812879, + 296582343, + 950765967, + 343118991, + 91617403, + 34576811, + 923387482, + 104329739, + 39591161, + 939073127, + 63331887, + 369188738, + 20937291, + 738295824, + 257668192, + 212518459, + 215489932, + 837601823, + 67748386, + 791453284, + 486952502, + 715655198, + 228463830, + 468638996, + 872824691, + 843251702, + 538860972, + 458216988, + 920442338, + 388365947, + 10710475, + 790052207, + 22685895, + 48412841, + 35769442, + 840260647, + 169985529, + 774933836, + 423843688, + 794733691, + 618923052, + 91571890, + 878459848, + 757822313, + 322226255, + 39230241, + 511287672, + 658309944, + 548350442, + 921103811, + 520057964, + 954295128, + 169154439, + 895254070, + 137947369, + 856039908, + 610063352, + 419194340, + 191295383, + 671742276, + 890759003, + 31053884, + 540093289, + 288155521, + 446998247, + 22620470, + 351238993, + 359958736, + 690081398, + 790214115, + 305016075, + 755215457, + 12413933, + 750311770, + 939459555, + 356723874, + 810124083, + 132591586, + 698691709, + 830210807, + 598819465, + 816740495, + 298199236, + 830979661, + 581507527, + 391735400, + 127304331, + 75969691, + 425515929, + 342000804, + 837441500, + 332714662, + 487720495, + 24021979, + 271855128, + 78172424, + 797867928, + 522686773, + 899805025, + 661130702, + 104571001, + 419588984, + 402903791, + 58225627, + 945046951, + 101827033, + 76568176, + 655312802, + 339041752, + 671884788, + 937845125, + 931238443, + 78333452, + 447946157, + 53761225, + 423078245, + 739714513, + 777798790, + 750441296, + 490786544, + 250031627, + 799261251, + 695794988, + 184906180, + 500915905, + 508933387, + 680351870, + 381061039, + 439598959, + 818993431, + 74136503, + 564349790, + 296262842, + 753937425, + 690659817, + 323597246, + 796627366, + 916447180, + 528099324, + 241346275, + 492671062, + 776968066, + 599434574, + 561767688, + 959305266, + 820244174, + 896178473, + 186492272, + 434097897, + 610770889, + 282407166, + 56902412, + 118539099, + 978003618, + 659781461, + 814234193, + 711073211, + 61894401, + 846772277, + 712450100, + 485559319, + 78523152, + 420006520, + 326529767, + 374181464, + 276626240, + 681159684, + 666046977, + 849747130, + 616598512, + 333301045, + 308968164, + 37964435, + 232947768, + 221194741, + 546430939, + 954285163, + 858869600, + 686407358, + 84622181, + 344901455, + 713907413, + 389337144, + 170607235, + 621009310, + 276654532, + 175147120, + 967940140, + 249695378, + 664559704, + 736332312, + 595607931, + 697693134, + 139094083, + 307850955, + 514541928, + 383319958, + 512110189, + 258201574, + 180723426, + 91283469, + 776554823, + 184461148, + 152517742, + 980754664, + 814319114, + 662960156, + 135636750, + 253349385, + 914580536, + 724260895, + 847118082, + 893455798, + 272683104, + 795679817, + 77221982, + 442434877, + 904692654, + 632170992, + 390703469, + 204548856, + 114993422, + 691713169, + 970452573, + 873381791, + 731143822, + 922390374, + 266599055, + 838091957, + 411062003, + 604946661, + 395202229, + 236354630, + 387045968, + 780577325, + 895974026, + 987945395, + 836125888, + 391008272, + 844164664, + 195174595, + 393744887, + 136945234, + 54058178, + 685479689, + 635656129, + 588076011, + 252630357, + 680260544, + 942668653, + 576110681, + 777784089, + 400781048, + 245151032, + 599232983, + 84605484, + 376887935, + 121879419, + 548715822, + 345814081, + 945644841, + 485115293, + 733881951, + 752498760, + 123389173, + 232798848, + 606373153, + 113144452, + 825117190, + 567523029, + 828576190, + 813279580, + 647146307, + 739524209, + 757189893, + 397229670, + 977069384, + 950657485, + 351320591, + 130511889, + 969949796, + 738285013, + 942037191, + 875674110, + 990920465, + 178910903, + 150396007, + 746898792, + 356619246, + 604170936, + 742016544, + 659500443, + 358723473, + 918281950, + 896686420, + 486006974, + 293226973, + 885358870, + 103912401, + 678932909, + 770540150, + 752128377, + 675427074, + 218740804, + 204676430, + 878227929, + 995476366, + 365592894, + 199139734, + 457604265, + 76667367, + 819385630, + 636752133, + 878506038, + 737924420, + 505560433, + 116616396, + 886626226, + 313100396, + 738912311, + 184483883, + 468340890, + 175883540, + 794292570, + 121003624, + 245504150, + 409232597, + 40486441, + 840794260, + 692448813, + 511791252, + 37874766, + 514797059, + 98359065, + 636704286, + 245313215, + 908413906, + 72225890, + 198323405, + 39130633, + 452962301, + 884138289, + 249682604, + 159919409, + 216258396, + 910688073, + 469365220, + 165186311, + 788377882, + 104248960, + 474582802, + 533077530, + 349328721, + 857262789, + 364013446, + 524293651, + 812231331, + 524801617, + 136305717, + 17262271, + 833773371, + 721741197, + 796148446, + 602845184, + 536649611, + 291707711, + 930904869, + 70381828, + 470314283, + 73741257, + 105529821, + 349537322, + 41064579, + 468986213, + 13763716, + 599047005, + 76558911, + 703427325, + 975542232, + 428966361, + 65060644, + 487485419, + 843671971, + 883628755, + 638431181, + 137595656, + 767726132, + 805244547, + 626040445, + 277370339, + 565040317, + 513850686, + 261838657, + 831264510, + 96673899, + 740814444, + 632617390, + 86038280, + 835594485, + 864228041, + 213421548, + 479094851, + 291672568, + 324190766, + 322607217, + 756529342, + 840013612, + 222968851, + 954419095, + 44175791, + 777372623, + 958988742, + 160111145, + 918780081, + 509692894, + 688206109, + 899516405, + 639400611, + 659253409, + 462586043, + 728862471, + 913486396, + 909533112, + 491905235, + 530233669, + 227911147, + 698079473, + 642851035, + 78270570, + 962022206, + 596634037, + 561163032, + 260374947, + 562540462, + 985603099, + 953968456, + 847792980, + 70625987, + 791302155, + 125568504, + 301636553, + 369625600, + 10425614, + 275779033, + 762998874, + 628768729, + 930645909, + 220475640, + 306891181, + 55253351, + 973129249, + 792543879, + 439238002, + 811524680, + 507059579, + 113022388, + 725015106, + 236371790, + 772239300, + 673758906, + 251968381, + 413749943, + 409805687, + 807267484, + 460352962, + 722778854, + 223214669, + 728823763, + 615193826, + 846639355, + 946990330, + 480619851, + 81363707, + 552242031, + 107563147, + 109057790, + 993388625, + 115610893, + 624487351, + 176474746, + 815921015, + 594808797, + 114786312, + 80144548, + 951299457, + 690934479, + 958376920, + 389759589, + 999375660, + 525894305, + 723379227, + 384112854, + 415911529, + 416451835, + 136281654, + 481276140, + 733234650, + 940359425, + 862549002, + 492155145, + 590675586, + 589368728, + 748097317, + 160851843, + 732048379, + 498063564, + 964202493, + 77999382, + 854189027, + 676813302, + 562742030, + 280188245, + 888862876, + 495100362, + 261987036, + 779813355, + 264210001, + 835294108, + 197780764, + 698252090, + 817678929, + 618917446, + 564406902, + 794777063, + 385755569, + 383039558, + 273381028, + 922152621, + 268937618, + 459910870, + 238659074, + 854781572, + 327930904, + 571238748, + 103176967, + 541115587, + 508063707, + 753635986, + 540015383, + 765165746, + 505325940, + 284579730, + 305201001, + 526308963, + 297748097, + 835265863, + 637660592, + 726792545, + 491267142, + 724531727, + 479701701, + 588358525, + 504698732, + 970020241, + 772359792, + 253570033, + 37174916, + 989968559, + 678073022, + 175782714, + 348784243, + 624914929, + 813559065, + 985301021, + 489417008, + 513227093, + 46490565, + 481289013, + 731593200, + 369824927, + 858469495, + 386360515, + 384591650, + 937733599, + 279436260, + 777763556, + 925588680, + 578157666, + 926875682, + 816877368, + 830767316, + 454967698, + 699084137, + 674783843, + 54297999, + 516129544, + 836647065, + 531295315, + 546573346, + 581317790, + 853546781, + 233455533, + 604996028, + 121109988, + 721547583, + 406080100, + 706575243, + 104596024, + 907727441, + 43392153, + 300571075, + 996728702, + 852935969, + 153658428, + 6020672, + 964941858, + 25330383, + 7866633, + 344604267, + 605213275, + 178962401, + 658212918, + 271350544, + 796897681, + 429494524, + 857864275, + 974011975, + 847872830, + 775452450, + 917225963, + 109704557, + 759506073, + 831268874, + 709883312, + 38156034, + 426348921, + 869451254, + 516442066, + 76822665, + 561177932, + 864126808, + 329882082, + 271915229, + 780381076, + 771990193, + 344153953, + 850304097, + 73052788, + 15645850, + 591022595, + 703279888, + 900736001, + 126744175, + 378365229, + 604124390, + 27487247, + 874166292, + 400173912, + 511972980, + 232217527, + 495900806, + 444196777, + 759297535, + 427204918, + 444059020, + 346903239, + 3706344, + 341040705, + 539999428, + 79185860, + 71402853, + 983851198, + 600741494, + 967706226, + 129618235, + 583187251, + 843982144, + 402034026, + 736106487, + 917181610, + 661340524, + 494527078, + 233587837, + 714831415, + 723927379, + 970173533, + 88679741, + 367899452, + 40291140, + 365954133, + 121937660, + 927210387, + 531463348, + 856873794, + 535483815, + 995502624, + 820475571, + 8993749, + 620387526, + 340660275, + 456994156, + 917527818, + 574901170, + 642880421, + 114578242, + 562881026, + 501926433, + 433018142, + 655642449, + 697780052, + 664541924, + 917355694, + 299157800, + 438645775, + 958636280, + 481877609, + 700794867, + 373887882, + 730375075, + 877371935, + 936361566, + 850279352, + 524208145, + 530669607, + 757143840, + 32109574, + 521158400, + 184831432, + 899240264, + 978932422, + 189977470, + 378080502, + 447654, + 522229206, + 667148648, + 901379921, + 818699043, + 521353419, + 579170895, + 305833511, + 714568984, + 656859123, + 269665733, + 566510367, + 779431071, + 320743651, + 735483746, + 775246984, + 367781555, + 843564786, + 795043394, + 285100527, + 36246539, + 207672564, + 792862831, + 337773666, + 555698000, + 341951371, + 211106043, + 971891172, + 813144345, + 786892549, + 642215271, + 56275173, + 25338503, + 729116423, + 522676185, + 795104372, + 250174828, + 858523887, + 402032232, + 649223526, + 492611022, + 476678411, + 270291390, + 15693461, + 672482803, + 414314904, + 113593155, + 16115990, + 622735087, + 798727072, + 861355370, + 490952186, + 8413949, + 398544633, + 628323359, + 512039870, + 552574363, + 550662316, + 208591101, + 36753241, + 848315029, + 585663894, + 468917252, + 264968041, + 704560704, + 444299723, + 546141831, + 335277318, + 640659626, + 752836734, + 563139250, + 469444984, + 71087694, + 684798095, + 893464596, + 576942019, + 203924055, + 820987409, + 382415822, + 679626818, + 123985216, + 88842557, + 984175499, + 414240522, + 732967526, + 774299612, + 64232060, + 406174935, + 640098922, + 240871602, + 447066864, + 702859506, + 117374246, + 627585030, + 374732317, + 963760316, + 939466614, + 544495906, + 942340731, + 613896666, + 672115868, + 293949932, + 109168853, + 228950000, + 770564756, + 507479639, + 288009478, + 368366821, + 471066995, + 742716230, + 961648285, + 739340962, + 318705611, + 51574483, + 656497976, + 703326415, + 108218364, + 194387320, + 515963350, + 448983811, + 873569309, + 646329706, + 69593243, + 920851821, + 787677764, + 913395298, + 152130889, + 821603723, + 244041570, + 121231151, + 188478095, + 868235379, + 375543426, + 592133057, + 372714463, + 400824957, + 57714193, + 751268044, + 99332294, + 639686713, + 422560312, + 290959192, + 803486254, + 120660798, + 531198814, + 468750334, + 32314678, + 998140098, + 347475324, + 96834955, + 1355991, + 606514038, + 124294382, + 709629342, + 774777764, + 939828501, + 297803189, + 929638475, + 906243058, + 282594119, + 350183550, + 444309239, + 628139669, + 135459612, + 377382812, + 961033459, + 961147012, + 218225179, + 753858026, + 47005387, + 119268526, + 84187319, + 149147072, + 889766736, + 439108087, + 840341551, + 200212946, + 836886434, + 162179730, + 260584946, + 610323917, + 508423210, + 244615926, + 357414516, + 492326865, + 161181687, + 656183108, + 288716694, + 168351909, + 770528902, + 340418744, + 117013911, + 89074442, + 807487104, + 312441700, + 186127758, + 881409039, + 289270704, + 562759620, + 157910656, + 648771508, + 217531951, + 247706235, + 510437717, + 129763352, + 950643033, + 393563050, + 337508032, + 184660720, + 875604818, + 37905675, + 210586726, + 894292444, + 350572261, + 296073379, + 688821974, + 712063269, + 10707447, + 462546220, + 772016108, + 672672538, + 804848961, + 626378254, + 56430630, + 472284107, + 580146152, + 647229450, + 256993129, + 421621665, + 671633012, + 357073952, + 964560756, + 550883350, + 444993969, + 726248018, + 427488178, + 37555316, + 147931183, + 328863065, + 855233192, + 333584136, + 259139624, + 984720745, + 541092362, + 883128670, + 176712093, + 423342239, + 771745231, + 952348026, + 582606195, + 979451475, + 670799243, + 898649324, + 848616293, + 517365451, + 58951977, + 80909402, + 192456033, + 692871465, + 310615392, + 362082929, + 768489982, + 508684398, + 151130194, + 179103852, + 984094223, + 416665955, + 3197287, + 918505550, + 470774392, + 643055155, + 961563237, + 979616074, + 183428144, + 420670013, + 996860754, + 926047222, + 77749779, + 725228770, + 163571365, + 679153547, + 541163985, + 602977917, + 398706665, + 85734279, + 480544008, + 810751466, + 45349027, + 850717862, + 278169551, + 869270176, + 51115166, + 476095885, + 382361110, + 837251245, + 957497082, + 768993455, + 184202269, + 859950077, + 509661320, + 971405485, + 236407553, + 717640283, + 853550856, + 793401649, + 632972843, + 909682658, + 862226290, + 959357316, + 204436647, + 713995378, + 536736742, + 952991548, + 680334804, + 22851052, + 19145618, + 678117439, + 307482116, + 153205811, + 766718687, + 964924565, + 461596038, + 481898140, + 807796086, + 990743908, + 309385038, + 727862002, + 690606822, + 950315718, + 939868946, + 63072112, + 373508041, + 861087344, + 283231653, + 449783268, + 826878613, + 433561003, + 745114644, + 70792788, + 941063268, + 356245450, + 597886681, + 204204780, + 577502657, + 544004511, + 739441349, + 98430762, + 109752920, + 208720855, + 751485650, + 914816975, + 202411389, + 266740231, + 889015861, + 987968259, + 793166087, + 78291027, + 436159791, + 332827393, + 945512881, + 65873306, + 215284504, + 57062284, + 926085448, + 760926427, + 826577551, + 772216329, + 505294290, + 473704696, + 473151561, + 147413381, + 73369974, + 949287387, + 373881244, + 612176119, + 555728566, + 927731917, + 891271868, + 787874652, + 811073755, + 838624392, + 827101728, + 509631850, + 783542116, + 341999480, + 331539832, + 363976023, + 11996466, + 512118695, + 754620592, + 842433211, + 723049155, + 856901404, + 467782503, + 897382377, + 871467267, + 676835195, + 779592808, + 986030577, + 950229067, + 98856627, + 39375374, + 159381073, + 804862932, + 390091585, + 313225029, + 727030804, + 237476435, + 453155171, + 54426713, + 492816759, + 297170383, + 537963635, + 352520704, + 54148086, + 219346969, + 354260240, + 231351122, + 249185216, + 698105901, + 598186034, + 882011708, + 432936549, + 51836104, + 568586834, + 126105841, + 643224403, + 840261875, + 327780360, + 758291799, + 375032871, + 597336859, + 113493458, + 566912634, + 337555697, + 527783271, + 10041133, + 265710726, + 35698635, + 610896758, + 388514613, + 981708100, + 53607401, + 459547942, + 785979286, + 623660961, + 46231950, + 126242943, + 608356225, + 763083892, + 258566332, + 608102914, + 671356779, + 1397073, + 44191096, + 142254083, + 866826771, + 374252863, + 16311417, + 245930015, + 581904393, + 35558652, + 121691544, + 299716204, + 814414923, + 187124662, + 288638620, + 768488458, + 428907855, + 620995281, + 744470338, + 922079879, + 186815401, + 452622815, + 38418783, + 790229019, + 706586689, + 774431088, + 2069856, + 989006064, + 450477107, + 851108427, + 255326152, + 694294806, + 401630562, + 463616380, + 398575521, + 703756461, + 179716294, + 505088941, + 424974143, + 981095788, + 740110498, + 524447931, + 102550570, + 132739284, + 658235109, + 504478075, + 95818748, + 722157035, + 106449379, + 208006394, + 242222035, + 381660331, + 652366567, + 347344272, + 761002608, + 171867326, + 690343006, + 936520495, + 477014191, + 68009875, + 93501928, + 675051693, + 268276315, + 672046771, + 916233613, + 128932755, + 467200544, + 472422948, + 564987816, + 102387602, + 227526395, + 246452909, + 151828591, + 606312585, + 307058761, + 557411488, + 370424569, + 89032340, + 506960839, + 276131785, + 848436679, + 698668327, + 961654345, + 991721365, + 132064428, + 378328657, + 683910826, + 144557409, + 618959648, + 71813783, + 399218924, + 212678075, + 886061735, + 2865853, + 766195974, + 617495153, + 697270645, + 155607141, + 228414512, + 405718991, + 104985402, + 909071179, + 719606221, + 59130199, + 759881300, + 819173588, + 93768081, + 179763928, + 604625699, + 200324591, + 602849796, + 134118583, + 810082477, + 172906198, + 217610567, + 755400621, + 833493826, + 127980123, + 658450854, + 533645031, + 811217479, + 677904482, + 222588886, + 994369236, + 843399486, + 682037897, + 578574720, + 12013653, + 204027465, + 335097035, + 315111732, + 327393925, + 680248885, + 684764707, + 835874158, + 267406330, + 900481942, + 235399952, + 622706490, + 67379273, + 963645507, + 152676412, + 198743202, + 788596366, + 406237611, + 398350904, + 949576582, + 339671528, + 598893206, + 354394093, + 264843762, + 495498317, + 527089257, + 350701406, + 406388206, + 927787491, + 560024453, + 351971093, + 828163658, + 431925229, + 619757138, + 478880167, + 984592905, + 349558988, + 829534587, + 528434776, + 892058663, + 713357141, + 9248783, + 664665037, + 276164259, + 169251560, + 348585926, + 593578992, + 903340803, + 795678795, + 221497027, + 502817542, + 35618342, + 400979603, + 731499642, + 979800271, + 407196332, + 564669933, + 558074686, + 395019049, + 721535665, + 282429539, + 488573943, + 933250501, + 330225075, + 253714937, + 220211138, + 786525006, + 549734019, + 436704871, + 870829055, + 427930525, + 16053851, + 381249136, + 643992099, + 718942760, + 989322368, + 811637293, + 415185126, + 610698231, + 888423265, + 969287506, + 438838916, + 138366119, + 541166038, + 725740666, + 377786643, + 999629503, + 928821251, + 717858768, + 724920075, + 534206307, + 403189912, + 25814084, + 163157447, + 995852111, + 456392162, + 329619306, + 146068402, + 774622685, + 701958401, + 334776578, + 103309811, + 859077450, + 714206041, + 261603469, + 928108725, + 233161654, + 721712205, + 418691156, + 337794258, + 33350305, + 32783709, + 478671630, + 703418069, + 483633424, + 208876915, + 8253054, + 69344720, + 267629391, + 233035771, + 900936142, + 401854283, + 898207822, + 938679267, + 171548771, + 520574583, + 680414306, + 661398315, + 671060407, + 540265907, + 375392893, + 949280303, + 170503459, + 973796604, + 394443654, + 723412337, + 621965119, + 445066719, + 739992977, + 615769781, + 628803367, + 103976854, + 732059094, + 53872183, + 653308759, + 870478476, + 759168560, + 488233659, + 695874565, + 214916468, + 412998035, + 54685521, + 767262040, + 985575391, + 828526876, + 644118554, + 332975218, + 595312810, + 186973604, + 723321804, + 428754024, + 685089186, + 564145918, + 683210362, + 499556515, + 985674106, + 478200070, + 810247136, + 743043645, + 222372063, + 577944618, + 204891389, + 984715786, + 181978068, + 107580593, + 85864710, + 898820447, + 43260270, + 670238221, + 523819029, + 935258583, + 203004434, + 209822519, + 569184245, + 124547344, + 512467178, + 612585270, + 20558147, + 787665538, + 791659683, + 556592210, + 175416882, + 726236651, + 141701563, + 93505999, + 147888385, + 667890873, + 583212894, + 190991870, + 479980260, + 22535723, + 391387840, + 787298780, + 93058124, + 936101750, + 72668451, + 785386012, + 863717228, + 253671867, + 897394463, + 659190734, + 443333954, + 990431285, + 551591929, + 403586515, + 928965751, + 589375983, + 856589090, + 157775197, + 133642436, + 25570232, + 84428508, + 950526822, + 96988529, + 328323095, + 185367719, + 706542042, + 899842850, + 636769822, + 595295984, + 940233645, + 912091359, + 781780697, + 548878355, + 320442790, + 903909822, + 744817791, + 82712857, + 311292230, + 528478722, + 851195908, + 88996398, + 594975340, + 128749510, + 630439515, + 968357652, + 362584692, + 67868513, + 271687586, + 982282774, + 342213665, + 293425061, + 753340052, + 781288379, + 862326112, + 32287425, + 810465226, + 416192521, + 356568718, + 331897101, + 62073572, + 871994250, + 976281386, + 875031394, + 885045984, + 891552481, + 769781381, + 234451312, + 250316431, + 180768713, + 787968012, + 594817040, + 270355675, + 818937229, + 498224599, + 548928140, + 427747260, + 455196161, + 748358340, + 989509379, + 170256002, + 430399540, + 931039665, + 424937285, + 534925473, + 182359323, + 804800300, + 556090902, + 978574296, + 307760437, + 128743253, + 19546286, + 372591902, + 56476460, + 378807165, + 418131012, + 1975259, + 74266083, + 366893828, + 806572141, + 898914921, + 435551793, + 447745191, + 637469510, + 608667604, + 859775638, + 780048638, + 840703647, + 96076104, + 805801425, + 132911822, + 488434004, + 888419383, + 281461303, + 741352674, + 86883512, + 179436460, + 46739856, + 449486812, + 295611204, + 373376670, + 304706096, + 621317838, + 246601956, + 782971335, + 449932427, + 602735723, + 311972605, + 678783495, + 700605458, + 659477371, + 834391526, + 18601016, + 586362587, + 490901537, + 344509051, + 465330652, + 822594525, + 97787032, + 518638460, + 180567077, + 492342946, + 681502684, + 643288678, + 839995143, + 176684776, + 774700403, + 717789181, + 219892753, + 13451939, + 622769565, + 214378849, + 959834404, + 629321624, + 685871848, + 270452748, + 564631983, + 197332506, + 899040303, + 936217383, + 219078467, + 799154720, + 88904390, + 287259286, + 724011468, + 623998029, + 838375649, + 588760377, + 45305176, + 552776349, + 761997798, + 55251434, + 370982493, + 898693169, + 875922357, + 63984151, + 95311674, + 158500231, + 88260203, + 679039867, + 588203913, + 280985864, + 81170408, + 972732838, + 569329138, + 842422945, + 964144042, + 363884329, + 442476882, + 368325060, + 849410477, + 537395044, + 42361596, + 595752614, + 386799936, + 861032400, + 519226592, + 903921042, + 941903541, + 135654896, + 13797163, + 840139671, + 855123775, + 74421517, + 85370095, + 768702473, + 999196352, + 632409162, + 456928651, + 436943563, + 536125058, + 546473689, + 27950220, + 930611099, + 376511084, + 47344533, + 391484562, + 767764361, + 158027473, + 97344415, + 913776575, + 540078356, + 425024917, + 268116720, + 383946210, + 537071657, + 960942985, + 507482066, + 162694725, + 424479755, + 780117668, + 304404971, + 596834114, + 236152774, + 390399303, + 886920705, + 819108898, + 952953584, + 637321964, + 81231003, + 908684549, + 654429049, + 222808824, + 277516384, + 360020886, + 835492480, + 542845951, + 603571519, + 757607617, + 407803519, + 711632309, + 57237206, + 464905454, + 895667046, + 50129213, + 442237421, + 986386359, + 130602164, + 454051425, + 773866938, + 793084241, + 803832603, + 491968114, + 866966614, + 250499328, + 794209961, + 626075246, + 101205818, + 246357195, + 662030951, + 82010131, + 241383109, + 382198310, + 259458039, + 915082633, + 48449379, + 258497781, + 70924140, + 490670183, + 567025680, + 140902695, + 214370801, + 52701903, + 785270407, + 212566968, + 903054791, + 557618184, + 322043053, + 521113507, + 393021503, + 223842012, + 828266814, + 19073475, + 986148657, + 189896, + 852137807, + 237369761, + 540867931, + 493461115, + 830710061, + 371944433, + 157096, + 822696117, + 926792831, + 790552149, + 149542742, + 875475311, + 263341162, + 498567280, + 865771817, + 24426181, + 298509079, + 808869834, + 60115568, + 421693840, + 443106293, + 697913829, + 681516370, + 72028738, + 936920298, + 580795652, + 145193033, + 536126271, + 340120488, + 641962635, + 273390515, + 818178222, + 510376730, + 621271252, + 178700516, + 511604306, + 767984464, + 232563748, + 79360784, + 551516419, + 660450387, + 732246157, + 323532631, + 57972064, + 881156697, + 811348802, + 41610134, + 496502972, + 622635559, + 552281061, + 734722058, + 906618907, + 281873751, + 167399539, + 775040853, + 424515249, + 825651876, + 387902414, + 390643739, + 178000583, + 988311404, + 286655957, + 907679819, + 889296929, + 433097819, + 186677888, + 395362472, + 202990718, + 450677767, + 466487998, + 37563874, + 222743976, + 700041750, + 395380169, + 226730616, + 349241250, + 548353668, + 906907064, + 874858547, + 273183590, + 797519621, + 710421006, + 110305504, + 879227816, + 505676552, + 430588341, + 479981994, + 407018250, + 37158322, + 898679763, + 942668050, + 451810890, + 511803525, + 243131301, + 972617195, + 380871258, + 149724080, + 730113767, + 223250783, + 377018910, + 271593149, + 30632044, + 18737223, + 721131972, + 190646947, + 906341616, + 256470953, + 555225760, + 69210624, + 20546185, + 705457561, + 870946224, + 695044231, + 75740133, + 293277839, + 548073334, + 610948149, + 454581225, + 313542709, + 596797497, + 655644050, + 711059264, + 595940252, + 55838734, + 39068253, + 985403689, + 926243481, + 889556477, + 131371845, + 431477747, + 441250707, + 650754096, + 233464077, + 357225275, + 115575861, + 485408887, + 963342752, + 887874952, + 43276035, + 37390807, + 542295634, + 630093221, + 404363740, + 202309720, + 127617483, + 508871205, + 449013208, + 479992365, + 804967991, + 407398113, + 299535925, + 366254929, + 453815648, + 313676804, + 728230043, + 825584643, + 716636324, + 821827781, + 945839036, + 66685331, + 893280498, + 358831257, + 402324804, + 350438085, + 426811002, + 238818649, + 25087526, + 186407362, + 931153878, + 691307129, + 288532815, + 976321592, + 62431988, + 312790221, + 794085718, + 77162742, + 877485907, + 436135753, + 62927067, + 773204109, + 271403128, + 778502611, + 635084361, + 509625953, + 817339061, + 513811268, + 429634492, + 846645891, + 852697777, + 215171906, + 724880841, + 956919279, + 911273573, + 549131361, + 152048388, + 429869467, + 396017593, + 851184803, + 74572545, + 768051318, + 213400658, + 99603573, + 105343804, + 190686520, + 392185027, + 522664017, + 694120303, + 209527911, + 56675523, + 444316040, + 421651776, + 395963385, + 217347075, + 44466288, + 357871492, + 489889351, + 802920669, + 649770023, + 753739643, + 859978225, + 963409793, + 429888298, + 929571323, + 470971619, + 77745345, + 426748370, + 465020468, + 332979674, + 928220097, + 958216976, + 140939215, + 97953022, + 964696223, + 141742684, + 186289647, + 658221883, + 743049830, + 429540660, + 190093878, + 323126355, + 966801305, + 521050710, + 114677373, + 601526094, + 389507121, + 885475379, + 723904403, + 318678456, + 451276075, + 429671970, + 822529231, + 103978968, + 726439384, + 25641118, + 340592854, + 730764981, + 799798571, + 420460023, + 625664709, + 558214991, + 15631605, + 336516352, + 861268312, + 455274745, + 209034241, + 971331903, + 774974557, + 966352428, + 216278807, + 568372964, + 4569074, + 146293084, + 870601162, + 26488570, + 631552141, + 475812731, + 539529561, + 421429405, + 4085915, + 115785344, + 434786155, + 787127920, + 531612351, + 145761904, + 635394026, + 542695510, + 685791596, + 400409757, + 95598981, + 620987461, + 109737118, + 782904117, + 778061290, + 187891702, + 898535816, + 852828980, + 951849420, + 383518035, + 218442078, + 698118555, + 936670962, + 438514166, + 66122021, + 361703311, + 901427499, + 301374907, + 36870310, + 524381545, + 613442444, + 273133321, + 797574704, + 130399509, + 678199395, + 620938578, + 244314952, + 442263189, + 233744104, + 661134990, + 567701746, + 52987426, + 76320970, + 528256173, + 712897589, + 996996707, + 616682992, + 361454069, + 827876724, + 271154061, + 545750337, + 867888301, + 839348783, + 335601096, + 335855314, + 731990300, + 866615154, + 671714353, + 643745593, + 663922261, + 952182175, + 820776176, + 152327301, + 220619567, + 986342041, + 902617828, + 433696951, + 791976096, + 306493266, + 398684713, + 224889980, + 557181767, + 154964988, + 964249440, + 894263612, + 771386961, + 947657092, + 896633415, + 624113664, + 776666912, + 417002763, + 822867570, + 149912584, + 923107944, + 666877107, + 419257748, + 343808078, + 890427121, + 346737030, + 387331302, + 547738850, + 617546179, + 960355266, + 323726074, + 973348960, + 914470856, + 866866224, + 197156719, + 797468348, + 3267625, + 989009795, + 676956016, + 834391531, + 784750313, + 880272968, + 896889303, + 830233481, + 312381255, + 457981414, + 416013086, + 195418406, + 481022794, + 207621588, + 948305360, + 471476670, + 596569751, + 474149764, + 625188397, + 81569052, + 204058906, + 102913203, + 523005083, + 99850534, + 887007649, + 477325732, + 366729538, + 840650275, + 422894148, + 465628435, + 48262607, + 174151921, + 328389529, + 166418086, + 93467312, + 516314761, + 303535388, + 949576958, + 699467047, + 997393033, + 664969059, + 86020279, + 644127831, + 703951918, + 745376176, + 878340881, + 695942934, + 649286400, + 890759179, + 981187135, + 180114670, + 790882294, + 931942407, + 830764316, + 880340001, + 915748914, + 854165826, + 317736121, + 537023024, + 130450130, + 908434251, + 7172493, + 899790325, + 68355339, + 374052090, + 144214997, + 512034747, + 103225200, + 194124971, + 846739948, + 960116612, + 296730949, + 60842416, + 678976229, + 671845545, + 992328304, + 496572428, + 647666162, + 258418641, + 121980297, + 694237378, + 886711412, + 153525843, + 393624156, + 784457684, + 597772341, + 52022688, + 205455739, + 407642958, + 93272043, + 301441897, + 598827738, + 397026192, + 316739104, + 630368699, + 971845475, + 802873170, + 803214281, + 754923550, + 486089789, + 369609056, + 243515302, + 432530790, + 613983396, + 217378905, + 39099621, + 94389371, + 201601503, + 859581589, + 931603699, + 585622738, + 319566610, + 706698384, + 375586861, + 29074246, + 169999605, + 124052168, + 913609096, + 794849736, + 975370580, + 551421987, + 188565714, + 74367152, + 672260689, + 950520037, + 37223827, + 986290506, + 944017242, + 159120925, + 575833797, + 246064892, + 611927969, + 302489586, + 602165802, + 143054344, + 831451768, + 758933894, + 300654811, + 979087327, + 952680909, + 397757719, + 858700629, + 493934399, + 920534327, + 424986968, + 240148414, + 507099643, + 899011212, + 279066076, + 386758501, + 209072178, + 848492765, + 936128695, + 905905592, + 665233712, + 236227807, + 130783677, + 417564679, + 529737034, + 99817490, + 989140438, + 666177881, + 879230083, + 144481928, + 141912285, + 8551477, + 700193690, + 925038285, + 537242138, + 845656106, + 592789320, + 931127923, + 883376641, + 729433588, + 123955691, + 174758427, + 56284211, + 413297504, + 502743670, + 257750454, + 196336751, + 718983617, + 383687403, + 543053546, + 628346681, + 405366919, + 574412387, + 76867974, + 789684161, + 746044209, + 174898702, + 458109634, + 441597067, + 515979202, + 709610505, + 876838107, + 463503401, + 354026459, + 415382132, + 401391014, + 806111107, + 871499976, + 185174559, + 747903655, + 646489773, + 271836832, + 397704293, + 339286886, + 333876780, + 577625159, + 943969644, + 53072141, + 750308594, + 148331955, + 465046877, + 978487670, + 950872562, + 696143409, + 421299664, + 375324150, + 432374317, + 461812277, + 644974279, + 466393054, + 801217303, + 845410388, + 462231472, + 454202013, + 714955848, + 824678581, + 803244917, + 455337797, + 345140497, + 554091497, + 310096135, + 300761894, + 25443080, + 348213179, + 935681192, + 133544100, + 124198249, + 85653258, + 847374360, + 908877894, + 588409206, + 210349801, + 182566729, + 835820478, + 819771514, + 85504066, + 154143941, + 475066395, + 126233919, + 631941065, + 397379307, + 620768664, + 237985565, + 673261203, + 650481886, + 518073721, + 153623019, + 669650529, + 374961475, + 762626756, + 98399667, + 702230290, + 153946466, + 357600788, + 452992422, + 931713352, + 763111978, + 616545532, + 877104525, + 183783920, + 198757960, + 358711595, + 130841201, + 836724041, + 262024974, + 708067862, + 968660340, + 683219404, + 67575654, + 811713870, + 8862311, + 86214801, + 223527303, + 35863281, + 193031781, + 496361694, + 577168638, + 906284547, + 124255417, + 878833948, + 616170392, + 494293918, + 528274238, + 883630817, + 352875295, + 245143320, + 538580646, + 83679469, + 523327031, + 620220447, + 162115359, + 377937527, + 240999938, + 965235727, + 935522536, + 167343746, + 895926522, + 659802315, + 770217285, + 305263702, + 468810669, + 468352939, + 905911531, + 687810712, + 574413858, + 895818500, + 344889040, + 628292587, + 977919306, + 758369766, + 455651981, + 270946665, + 817481968, + 746340844, + 321224011, + 938683223, + 977328259, + 134089138, + 640686426, + 576977307, + 378625114, + 610877673, + 195115064, + 842666858, + 541614679, + 333880272, + 244739958, + 486761093, + 679384644, + 779951154, + 235817065, + 457338609, + 427817159, + 25503136, + 664534121, + 449587881, + 675572262, + 600210017, + 12332011, + 143235386, + 56408211, + 360272817, + 455860456, + 316503537, + 532725032, + 788569264, + 981670581, + 275310502, + 715084069, + 405855563, + 629409485, + 303657626, + 604173340, + 590435879, + 166406610, + 247083914, + 311401810, + 880589270, + 120877495, + 245743357, + 268189366, + 642956415, + 34837734, + 480352137, + 302177736, + 165045449, + 922836688, + 378566734, + 760144548, + 500231788, + 451846440, + 877809350, + 914949319, + 859416058, + 151251459, + 723247753, + 69710364, + 393962480, + 275259098, + 777318661, + 606217229, + 985555004, + 62271450, + 301500625, + 388571345, + 696523335, + 20691345, + 931201204, + 521135709, + 717376752, + 590117762, + 261667524, + 492841088, + 8206807, + 98336501, + 94692887, + 455607120, + 103271578, + 492074748, + 631915211, + 844546782, + 104884390, + 168717512, + 480939094, + 978160398, + 551677547, + 520839364, + 474977305, + 735735412, + 481225596, + 361305453, + 853673880, + 184266164, + 347198214, + 194367044, + 382632056, + 998120094, + 889539941, + 89896848, + 940871449, + 642714453, + 909002408, + 971916430, + 639295512, + 124506374, + 333949290, + 656112456, + 653231751, + 838159632, + 998186450, + 952464663, + 18170408, + 51701563, + 480872433, + 713256671, + 131472933, + 435159083, + 177524615, + 255932662, + 277319763, + 358317304, + 117590125, + 382915062, + 131036743, + 323978274, + 895745338, + 833222874, + 198382548, + 818592512, + 901728822, + 355827384, + 687656790, + 411612913, + 121155545, + 236366847, + 931634936, + 132112060, + 681141110, + 242877421, + 516094046, + 491728967, + 971842229, + 787666781, + 535880120, + 763377167, + 249254839, + 969925391, + 912922667, + 720910551, + 162657613, + 666194006, + 164180464, + 693840185, + 757338061, + 895773073, + 763336921, + 988522379, + 258295858, + 833027114, + 6403203, + 605758479, + 63573951, + 771396359, + 347111244, + 824674386, + 523653114, + 546034112, + 333953339, + 708426511, + 266891200, + 630581970, + 548103865, + 909326326, + 322663623, + 653352504, + 247816487, + 934606289, + 127627474, + 112549027, + 692600215, + 166003825, + 394871285, + 999491229, + 606963133, + 337694030, + 807310763, + 860955343, + 334518454, + 605680958, + 837331049, + 306688006, + 632545144, + 30475479, + 196093323, + 777731741, + 655209821, + 506947041, + 481020167, + 854261200, + 683864432, + 303043470, + 149597052, + 567436446, + 464378690, + 774980032, + 65716692, + 269458797, + 230794664, + 25088439, + 762867218, + 536896527, + 635404668, + 122170865, + 577709862, + 917340976, + 442551885, + 448486142, + 394597748, + 202681413, + 123792473, + 407394101, + 63954609, + 363602778, + 291454403, + 800593900, + 616245226, + 80808730, + 197986289, + 88438162, + 212358022, + 676821469, + 874576822, + 844659928, + 293432961, + 228493470, + 876943534, + 831131595, + 119546784, + 587528815, + 897412555, + 669594425, + 735303586, + 454576372, + 229844988, + 399186351, + 591257481, + 3635458, + 202260702, + 602430835, + 672797228, + 972090572, + 535196849, + 627665501, + 888190613, + 320877873, + 957325960, + 768455100, + 77583922, + 57078780, + 646648646, + 156558123, + 49710376, + 812183747, + 26376823, + 950379041, + 111340245, + 774812180, + 910350180, + 172575394, + 158892348, + 535189598, + 582872526, + 419269502, + 214555432, + 328741641, + 244941109, + 542792685, + 859890817, + 331743555, + 883957277, + 656642733, + 706309251, + 760955856, + 875406863, + 992953360, + 615774604, + 159053692, + 615180401, + 86584893, + 911159292, + 315755788, + 351819632, + 102327562, + 136458115, + 408286650, + 252789920, + 423789731, + 352509379, + 769324300, + 608829335, + 389000939, + 737073095, + 938672679, + 124025588, + 512860975, + 28619717, + 251181966, + 816406882, + 506801475, + 497780356, + 115450205, + 92141442, + 447302057, + 958341375, + 147412508, + 866595554, + 19238659, + 858724790, + 432361759, + 862943535, + 62388817, + 957918199, + 862043617, + 645823553, + 860316607, + 415853229, + 138566999, + 394895850, + 795757439, + 860962168, + 676836652, + 244785627, + 701839426, + 679823751, + 923030299, + 565354358, + 740944252, + 732580696, + 554455007, + 270126718, + 139193759, + 314492018, + 839306545, + 131882802, + 119622971, + 162994388, + 662487349, + 815589397, + 392141096, + 99367577, + 6863519, + 819442323, + 986545811, + 670556883, + 280000122, + 364510580, + 732892077, + 530807088, + 37220044, + 742870454, + 727718438, + 799255158, + 855561094, + 323372319, + 452403154, + 781841979, + 861721310, + 599738336, + 140374579, + 281626469, + 960822539, + 160336447, + 93379420, + 62102201, + 819601216, + 523626718, + 295912375, + 361046143, + 59498997, + 67138898, + 369187726, + 530694281, + 47590362, + 334616449, + 844134905, + 880141965, + 340138943, + 132046757, + 816681821, + 576717677, + 172834626, + 539574546, + 548857878, + 667149265, + 112274813, + 654174721, + 140155485, + 418802485, + 30269822, + 183492361, + 71611519, + 747320948, + 690781933, + 25046233, + 402285177, + 237346569, + 380007724, + 382996502, + 87271021, + 366615862, + 232004847, + 767572741, + 806410431, + 415592365, + 364284482, + 610179989, + 677530099, + 858700220, + 139499154, + 426044378, + 886793242, + 410999684, + 379013686, + 92501427, + 628544541, + 560913372, + 812633423, + 411717004, + 61034440, + 550023485, + 87208890, + 986187310, + 667583945, + 32887041, + 951218692, + 701091218, + 170989837, + 230056055, + 11945872, + 263037157, + 163894622, + 64400091, + 716450329, + 147355439, + 172133386, + 375783064, + 325367355, + 148149083, + 566110201, + 359217946, + 495948764, + 50846998, + 490436049, + 177481086, + 41221509, + 91259239, + 388445297, + 875446973, + 616948565, + 404441215, + 500089600, + 707047661, + 500100541, + 739400761, + 506789718, + 68124844, + 701676847, + 974537636, + 71308628, + 588959908, + 622535497, + 844660758, + 173386876, + 982818324, + 861052538, + 691757538, + 859138998, + 238777665, + 339128579, + 340194003, + 846046097, + 941663918, + 829904307, + 792663177, + 281156043, + 38022908, + 548353773, + 322782951, + 469301841, + 1868017, + 240604061, + 968125871, + 831728464, + 682270179, + 777824579, + 759561213, + 949151979, + 584290495, + 661040715, + 481769970, + 827666004, + 293839865, + 44270795, + 715915491, + 980810928, + 208176105, + 743565001, + 499807929, + 721979270, + 262845130, + 87086722, + 228776687, + 110003514, + 347758729, + 251473841, + 630352369, + 61023499, + 846111161, + 266703498, + 877153035, + 955436647, + 603176123, + 808799003, + 489626185, + 880333910, + 493141409, + 426364417, + 429618644, + 728298515, + 654795564, + 305693260, + 197052847, + 915897489, + 991252892, + 445438275, + 575465255, + 965958985, + 298782500, + 291305069, + 601594039, + 542155896, + 510810483, + 557994645, + 164188386, + 63307973, + 305812083, + 470060441, + 821526849, + 992665935, + 573804767, + 411431772, + 583529116, + 648323161, + 709580889, + 572790702, + 127004784, + 235270674, + 195696201, + 913495328, + 798862487, + 133626985, + 992646813, + 71236054, + 303295183, + 417084418, + 812907536, + 725614822, + 219874180, + 601252008, + 988328213, + 649769809, + 241513713, + 519619499, + 722826587, + 504741107, + 272943773, + 480843246, + 377377407, + 572152038, + 74246285, + 566826206, + 641333999, + 476080636, + 724830179, + 830267324, + 188510376, + 388135272, + 33675684, + 6805221, + 372208585, + 826318532, + 953410185, + 715467996, + 229670335, + 897011920, + 533523057, + 861728575, + 671135258, + 288010080, + 529004866, + 435605620, + 176206570, + 899805749, + 898061098, + 540539632, + 643133450, + 452819121, + 956553113, + 906563866, + 762469316, + 894940359, + 928127539, + 960090293, + 72891308, + 317170354, + 671989700, + 413607935, + 30561838, + 910377257, + 680233539, + 670383504, + 867061631, + 433498516, + 132144601, + 800027174, + 917931929, + 517486945, + 533692281, + 121710005, + 888745005, + 855313892, + 321711999, + 191329372, + 753097384, + 668330269, + 569240503, + 284410320, + 222047787, + 105297614, + 924738276, + 466596987, + 729781257, + 911254799, + 589625186, + 891583740, + 957090586, + 616365552, + 465840479, + 65769771, + 155323903, + 844412463, + 145439305, + 318599493, + 299092913, + 596701607, + 595440667, + 211557055, + 131925545, + 852370497, + 511247209, + 976999240, + 993825405, + 502493297, + 307821281, + 894547366, + 936024736, + 40347232, + 968438875, + 224069518, + 450433756, + 798170970, + 705995740, + 795027569, + 944369414, + 260638421, + 658679499, + 981220190, + 652340394, + 701757498, + 652876821, + 376756194, + 422185324, + 213350036, + 139503993, + 623050408, + 951689315, + 195132408, + 637593238, + 132946891, + 843192205, + 256549951, + 665663327, + 880693471, + 779492030, + 22597984, + 451409639, + 853635317, + 856430828, + 166721174, + 742914789, + 576404518, + 39397410, + 462820744, + 922178288, + 708595921, + 749185389, + 648117715, + 803634820, + 85677732, + 129519971, + 822441511, + 143613092, + 107000764, + 552824102, + 722677742, + 426995267, + 142222971, + 897431130, + 448246337, + 216532336, + 746068825, + 480339528, + 28824685, + 529587725, + 70042980, + 140893597, + 473492639, + 208576540, + 627836549, + 272655760, + 993866097, + 329196533, + 340061684, + 845084727, + 183073494, + 74322949, + 576056931, + 477373849, + 315945708, + 132203296, + 1988593, + 316791540, + 24727042, + 241100089, + 59770117, + 581686126, + 377583931, + 403487698, + 302920385, + 11196269, + 804951842, + 436319362, + 806761309, + 654836227, + 834621231, + 827845481, + 317356352, + 829062099, + 160582745, + 509806947, + 335974201, + 939554395, + 279869100, + 530891580, + 179170526, + 86062501, + 261435641, + 72473543, + 227360039, + 119096548, + 234199550, + 881027465, + 154514328, + 668235364, + 848355101, + 594276087, + 848620389, + 388129540, + 304086043, + 972587408, + 824851270, + 398883587, + 121063308, + 419523984, + 122068416, + 28495849, + 391126811, + 492579149, + 334193456, + 806005413, + 277822329, + 465256010, + 16619499, + 240333162, + 647012846, + 356000203, + 988542129, + 923002354, + 702124075, + 703461577, + 226801569, + 647247437, + 372914616, + 405823446, + 439681526, + 89178200, + 599619453, + 558778393, + 940976267, + 892627605, + 361208398, + 7486588, + 811847798, + 823723351, + 107410531, + 373544949, + 564602348, + 894435475, + 422855397, + 894296711, + 193106563, + 681431761, + 312704412, + 263008006, + 811472676, + 821346747, + 759358423, + 582184145, + 80172253, + 359757433, + 843449966, + 711935626, + 438869852, + 321102563, + 704738076, + 681898942, + 941673654, + 139113920, + 761850660, + 307662071, + 597154566, + 185620719, + 779949426, + 857020722, + 660373529, + 239667906, + 332962794, + 263561138, + 164341798, + 975619968, + 842355894, + 413484624, + 79888577, + 942247986, + 962596891, + 377731314, + 462245359, + 710821169, + 759356426, + 357992308, + 721216663, + 639630982, + 531981641, + 695916905, + 464600767, + 85265588, + 304337794, + 755584584, + 182537415, + 505017514, + 757670149, + 500927795, + 191428826, + 195139108, + 50151371, + 788719937, + 561542082, + 713007529, + 425744272, + 58039201, + 238380675, + 818650657, + 764658622, + 430051988, + 108009748, + 262738720, + 940328552, + 447227115, + 628889130, + 974455437, + 412512029, + 607414731, + 747061952, + 530595242, + 641304692, + 918300061, + 479853846, + 967147885, + 146015429, + 326353886, + 42356452, + 923582377, + 185084397, + 835944168, + 627119031, + 138615994, + 486644713, + 834485263, + 871280457, + 576670443, + 112943167, + 794206983, + 558886950, + 951952993, + 92946971, + 447951969, + 630630272, + 614396050, + 650400148, + 927415739, + 389391219, + 687707293, + 924650327, + 546755737, + 377122392, + 543623301, + 518970615, + 506014870, + 969106752, + 360428600, + 333811234, + 166971155, + 891171388, + 608546288, + 148504328, + 515718407, + 136068624, + 652090808, + 532611126, + 159051587, + 639183609, + 738241278, + 697507722, + 719299294, + 396866933, + 680856395, + 496860452, + 155970988, + 601615384, + 661454668, + 229704258, + 271000593, + 314535908, + 524845863, + 44998905, + 119189605, + 444949863, + 985251979, + 680108622, + 84230405, + 810902569, + 255933787, + 200476009, + 752288961, + 695059403, + 67978655, + 30242110, + 353789875, + 508940545, + 91309485, + 605042824, + 923577415, + 596418244, + 750521312, + 389374489, + 744553191, + 609242549, + 607743233, + 191137580, + 135833343, + 13073271, + 527146897, + 791157349, + 433699238, + 200802090, + 851865797, + 924696749, + 257191611, + 842823614, + 319225941, + 709065594, + 739205069, + 483496856, + 102670928, + 502136087, + 98705484, + 532060658, + 824752949, + 978339321, + 433124485, + 97424338, + 687866179, + 98276026, + 180513309, + 274214252, + 195189279, + 244795967, + 575786981, + 1577268, + 636285498, + 318958583, + 18736864, + 356866219, + 46298457, + 242327033, + 339481388, + 97079284, + 884903772, + 546106518, + 71980937, + 517496092, + 553206025, + 353811494, + 122834016, + 415750004, + 627559746, + 748516255, + 879481292, + 37440133, + 651582880, + 992754685, + 311713790, + 744416198, + 48292844, + 761306491, + 111762821, + 189455534, + 945249289, + 65999483, + 996053008, + 777456557, + 201762235, + 365249220, + 636373872, + 681989472, + 141608111, + 78327039, + 348854450, + 164296494, + 904275247, + 520526858, + 300742977, + 431784206, + 51588997, + 59775797, + 256135133, + 834083987, + 846045291, + 55456038, + 767325529, + 708124280, + 674919805, + 136609383, + 849255299, + 920565049, + 303452642, + 317846268, + 407118907, + 103250462, + 911646403, + 136313190, + 848897264, + 267437167, + 419574113, + 211590680, + 882769870, + 253142275, + 144919612, + 253536666, + 494175242, + 343271565, + 292164935, + 479649210, + 33864692, + 393580285, + 558034976, + 260536714, + 491666068, + 153801954, + 750502764, + 556702038, + 66932332, + 498864989, + 852621867, + 539087913, + 367153628, + 45343652, + 408286103, + 74684167, + 942080072, + 496383611, + 534716398, + 414669393, + 759093035, + 200250748, + 1550302, + 979084743, + 987087896, + 335884304, + 714448099, + 860263707, + 981010905, + 167012941, + 847787624, + 633272925, + 909963810, + 713756179, + 308020512, + 815818532, + 349724152, + 5033611, + 115184463, + 546931713, + 256563669, + 111667287, + 268995115, + 303164771, + 668426057, + 328231656, + 768988437, + 137766465, + 737080294, + 16815702, + 354202559, + 341250368, + 119578306, + 43256918, + 402522162, + 631740459, + 589773807, + 773753314, + 469742304, + 505547235, + 19124297, + 650496595, + 948699960, + 248833532, + 405521419, + 888068116, + 516494479, + 132446111, + 106932482, + 945134520, + 204314297, + 98839245, + 157741809, + 311733833, + 21042016, + 582460549, + 821235526, + 88109167, + 15840914, + 456270867, + 37777556, + 963242650, + 199511556, + 687556787, + 409832711, + 979966162, + 63427975, + 161781285, + 558357123, + 352838560, + 933706420, + 319792054, + 368055059, + 895302354, + 323947737, + 353262610, + 754654344, + 898544547, + 97254215, + 581986472, + 324636936, + 215149827, + 856172685, + 199477821, + 777835276, + 212763359, + 398498026, + 493405779, + 22086502, + 248835005, + 539429380, + 111394479, + 156546990, + 798000022, + 146971903, + 11390249, + 87054109, + 778070922, + 190157018, + 51136291, + 525601755, + 652047249, + 204625207, + 955159361, + 153410514, + 77754178, + 578045378, + 90419937, + 354592215, + 724995567, + 83197751, + 768115793, + 577831645, + 24737215, + 510265454, + 764545007, + 480266985, + 222822371, + 714149155, + 798193307, + 134503919, + 193074903, + 482123874, + 16457049, + 878364758, + 994804865, + 332738510, + 316025805, + 718749653, + 245192692, + 289169038, + 534226813, + 927527514, + 788927813, + 230746642, + 628745875, + 614092811, + 203107889, + 156825165, + 381472907, + 692772781, + 714488608, + 597073130, + 987152426, + 719930677, + 802541267, + 358738013, + 164864849, + 192148772, + 131605610, + 192749041, + 250401277, + 397271465, + 423642600, + 655619736, + 848257999, + 901451388, + 65436397, + 206105301, + 958575920, + 571538926, + 24701775, + 17962576, + 509692501, + 805112341, + 568841302, + 290132699, + 671548356, + 982872667, + 45056966, + 541020424, + 274232922, + 515732512, + 982938806, + 199797073, + 704973236, + 808514528, + 968614006, + 594080042, + 648200428, + 589255760, + 920472535, + 434896204, + 4304874, + 443912623, + 31922821, + 777777789, + 827839349, + 541052020, + 360128270, + 944044001, + 967147216, + 688928370, + 794148966, + 786070749, + 478236244, + 849456718, + 291245794, + 58217521, + 75487451, + 832621046, + 304283844, + 329927521, + 213330079, + 831140089, + 991403027, + 776860196, + 742073915, + 628803896, + 452212807, + 658804914, + 436592135, + 243224242, + 414666725, + 119478253, + 131797461, + 314129827, + 45008622, + 173116790, + 321146173, + 329929055, + 437919231, + 3646200, + 999616106, + 10781786, + 584079677, + 226459115, + 741601457, + 936953151, + 953406278, + 970595727, + 419259228, + 207446373, + 279473056, + 50821601, + 129113294, + 835513465, + 997420875, + 685289325, + 319876517, + 178742371, + 572029261, + 254851662, + 473230960, + 880422133, + 252851152, + 402476488, + 610765521, + 333560271, + 558194300, + 968554450, + 655058466, + 544077036, + 863273645, + 318705546, + 440957446, + 981128530, + 709482383, + 24463754, + 521742059, + 449395023, + 915189408, + 846764899, + 788389432, + 255266077, + 824709844, + 349911943, + 29945912, + 841456407, + 763847605, + 331832469, + 8398434, + 680818809, + 710586193, + 903194242, + 81760546, + 187329992, + 19784040, + 920652537, + 308388270, + 792059234, + 469435596, + 861449726, + 770793487, + 192577058, + 457643168, + 82360719, + 135399871, + 609457327, + 1752737, + 430928874, + 310793350, + 467162861, + 192483992, + 279685945, + 752592560, + 900600202, + 484670056, + 588701991, + 738742570, + 777389449, + 563168630, + 113708200, + 383759595, + 911848849, + 335714400, + 28267264, + 730787981, + 834781496, + 842945479, + 479244125, + 659655039, + 578894822, + 193832490, + 781388051, + 393705446, + 832619959, + 376903937, + 231980942, + 502732709, + 690908120, + 207462847, + 724076646, + 524329743, + 585109301, + 57681674, + 484064030, + 415016276, + 54505502, + 144403467, + 107920929, + 360340461, + 655587202, + 461581159, + 491641330, + 766232967, + 676716847, + 633901904, + 369473028, + 755974217, + 974466582, + 484402024, + 296044179, + 700708664, + 466365136, + 987194237, + 612915937, + 116435910, + 500661858, + 627553617, + 354523773, + 503041941, + 858219083, + 200516963, + 386026422, + 124671132, + 334611823, + 451325605, + 626313165, + 243249951, + 299335144, + 704926394, + 759626079, + 86036522, + 66664252, + 161638289, + 415474954, + 927435131, + 355785912, + 576969037, + 971669753, + 174155856, + 901858172, + 976888269, + 207367867, + 600771198, + 722248571, + 93353650, + 151314442, + 414568150, + 420565646, + 178600338, + 594698451, + 728188325, + 283961875, + 780401341, + 511250669, + 541197084, + 638837311, + 513456433, + 18577091, + 344624800, + 399201053, + 521104846, + 802652480, + 266239342, + 683824967, + 640547356, + 594150260, + 870869426, + 988681916, + 268630517, + 604490397, + 378551991, + 434675155, + 920147380, + 134608800, + 862249909, + 779632688, + 90778386, + 769508527, + 742854726, + 143390675, + 57396524, + 763244977, + 747628520, + 764002325, + 887758855, + 162085215, + 923212761, + 114239926, + 230890772, + 423909687, + 649194657, + 765870954, + 212275025, + 392112741, + 92423765, + 277052286, + 752494153, + 764595499, + 343743126, + 210923371, + 820807604, + 737734329, + 411485797, + 719096496, + 995109706, + 796190578, + 108561363, + 496746234, + 834046321, + 47425955, + 451452167, + 303983848, + 933742837, + 899921688, + 694520631, + 21122058, + 890020507, + 49823675, + 109810756, + 110944151, + 496958229, + 804392161, + 631096307, + 280413982, + 580332092, + 401727422, + 822802848, + 588154227, + 977931296, + 377144113, + 335497071, + 898885096, + 484506554, + 705804241, + 207203296, + 45869977, + 651527074, + 942638861, + 338672249, + 807275741, + 459282255, + 636951664, + 324176288, + 400125759, + 653665868, + 174103992, + 996141561, + 189149341, + 58115081, + 514895786, + 692391307, + 220652756, + 118758545, + 431737501, + 736225798, + 318716430, + 167999269, + 486463414, + 930832008, + 580472087, + 859782625, + 258894038, + 646078961, + 771131169, + 112418058, + 820860466, + 98087706, + 524500928, + 563842016, + 176996341, + 676586883, + 937386578, + 704181139, + 250761532, + 874872121, + 84479636, + 452439385, + 683225741, + 71844415, + 522592444, + 215217177, + 600487601, + 506406133, + 188192311, + 202080610, + 670969061, + 405582990, + 515638372, + 227150808, + 583002316, + 100446865, + 837574866, + 370835474, + 457849426, + 757920592, + 989922665, + 289967708, + 255324014, + 123046160, + 109948120, + 843478379, + 623943657, + 931291732, + 333342881, + 528899844, + 808983261, + 406022715, + 878206066, + 50640690, + 275428052, + 539540546, + 648907500, + 681332297, + 276405651, + 576874225, + 968626564, + 950580175, + 738538059, + 195275628, + 594606501, + 595903491, + 997375122, + 957970945, + 351079492, + 481830021, + 288666747, + 645865143, + 902007277, + 202003745, + 906982912, + 821346419, + 161913173, + 249643097, + 802307, + 442535491, + 876948542, + 11368638, + 251923406, + 234564178, + 247386464, + 291096139, + 820441192, + 492632070, + 515493460, + 742543168, + 273981926, + 65783362, + 295065328, + 128392291, + 702991167, + 630540445, + 486428493, + 365400465, + 50694642, + 975155054, + 802446544, + 682258533, + 914645128, + 934338432, + 639876503, + 633266644, + 499698974, + 410855143, + 451384478, + 513962155, + 688163376, + 330117475, + 816112741, + 817328564, + 269570531, + 936039999, + 580167299, + 979167584, + 449477199, + 288133256, + 430495857, + 248378103, + 154139308, + 742054773, + 965639655, + 691763570, + 457079261, + 760613539, + 526869229, + 886546044, + 102176759, + 802602768, + 910674082, + 745201095, + 590299345, + 807090953, + 674071738, + 977600702, + 369858403, + 886903746, + 180277721, + 137447412, + 48231698, + 865071282, + 87986513, + 305950335, + 298679079, + 362082477, + 105306931, + 141251133, + 262506976, + 227715541, + 9233687, + 690570587, + 865468096, + 26332373, + 464041304, + 115266067, + 640312839, + 901504018, + 400250031, + 741498923, + 664829986, + 53110056, + 640448114, + 961826468, + 842065975, + 152778500, + 151130227, + 465718966, + 824691780, + 613082040, + 690702683, + 625059759, + 3153555, + 421095110, + 238175138, + 99674246, + 243659028, + 202598282, + 822169783, + 824535872, + 412360563, + 529148755, + 485129469, + 809608557, + 843150241, + 330867270, + 673583455, + 7520683, + 589538619, + 276653122, + 503117922, + 217912531, + 931369631, + 39501957, + 467044641, + 759232885, + 632780278, + 200785511, + 249426731, + 206566917, + 133104128, + 712230975, + 936356675, + 360663247, + 210606916, + 410434668, + 528798370, + 650001544, + 319747674, + 980070720, + 168891630, + 609032442, + 103614938, + 356749046, + 885562068, + 661674055, + 133306546, + 766824182, + 962619998, + 855643951, + 525049061, + 96338557, + 498116240, + 230359116, + 148571596, + 859161869, + 918024410, + 46429460, + 887106154, + 930154232, + 39102759, + 623397038, + 961756214, + 238264502, + 154584908, + 881758400, + 793750541, + 543888522, + 479266067, + 560453807, + 178958019, + 211204906, + 628088234, + 791009617, + 302224087, + 628237856, + 967531329, + 242045563, + 58773004, + 579116240, + 521989584, + 635396328, + 963558492, + 178926362, + 462232090, + 177794976, + 512545607, + 551398491, + 820275990, + 960386524, + 143402705, + 553028203, + 598012734, + 352741380, + 449430293, + 332223037, + 788354416, + 421201794, + 883173821, + 180609100, + 541752282, + 362523525, + 70887403, + 495674867, + 878133259, + 213094863, + 384735465, + 230719289, + 91371944, + 259692044, + 965136237, + 626937066, + 105577493, + 164483923, + 939332245, + 297863375, + 746178940, + 513900075, + 506939528, + 319378455, + 228685413, + 126760135, + 409150513, + 183866682, + 110724344, + 4464528, + 626555379, + 947944230, + 791539410, + 964267784, + 396791558, + 998758162, + 768418885, + 368599415, + 897246651, + 49168485, + 364460862, + 418198122, + 865588825, + 966395405, + 616117672, + 277026233, + 384976735, + 256165830, + 822770663, + 872225043, + 655369134, + 867164436, + 281505351, + 793059163, + 598453204, + 331899461, + 99447372, + 916684939, + 10115978, + 354402636, + 524833285, + 456981676, + 216936, + 633970386, + 190643328, + 268624703, + 467320757, + 404553457, + 948007396, + 742221146, + 610195120, + 364728249, + 539083438, + 960339597, + 327957468, + 731321707, + 957539585, + 93463143, + 359958971, + 833221526, + 467527444, + 649466433, + 583310080, + 685521438, + 608921569, + 551755268, + 156276483, + 620554269, + 60286114, + 105447483, + 56288202, + 494293604, + 18482813, + 316804290, + 592190736, + 943794166, + 306579605, + 713787468, + 968303931, + 8848973, + 12996002, + 178202364, + 519541108, + 358638379, + 501739965, + 548985079, + 918011409, + 568585680, + 691899278, + 762941907, + 171175549, + 89746373, + 233210965, + 10419835, + 937302150, + 634444967, + 41245968, + 558049249, + 689685664, + 841885138, + 266742919, + 166218952, + 473483252, + 868246228, + 647678332, + 914252977, + 360658938, + 585705565, + 445367541, + 489897541, + 358156429, + 189202323, + 963941103, + 703488722, + 486443698, + 793096444, + 622169287, + 431522462, + 724226447, + 529932431, + 417677105, + 775586110, + 648971993, + 84886554, + 687882736, + 143703384, + 840350955, + 10564955, + 587140305, + 919400478, + 969746000, + 28602753, + 154527604, + 595499512, + 120266279, + 808593953, + 739675851, + 522321155, + 621111997, + 511728552, + 215987071, + 250433540, + 289169876, + 197424996, + 229937375, + 275123839, + 613206902, + 449685670, + 839250151, + 516325077, + 695900273, + 9927709, + 128014309, + 399562974, + 500525207, + 657530197, + 80971902, + 517770948, + 172868744, + 92292288, + 943480383, + 146177280, + 209410685, + 931810237, + 172300983, + 453712199, + 418219615, + 753294636, + 858099302, + 446906020, + 50315625, + 348729961, + 486819153, + 528031568, + 877824924, + 741587688, + 378343115, + 459659318, + 358599572, + 272207617, + 660945885, + 812281098, + 486369593, + 98308485, + 22879204, + 488819487, + 693239822, + 613034070, + 956845, + 609081075, + 328660295, + 607155939, + 592323552, + 100292785, + 561397589, + 571877420, + 374731747, + 714807601, + 898061356, + 332039338, + 661687063, + 266003162, + 648918002, + 499138939, + 197832888, + 767995636, + 903803470, + 56946529, + 243841580, + 91483127, + 868312644, + 389727973, + 483763606, + 894466263, + 807589259, + 851407558, + 401992025, + 696449202, + 792703448, + 670670584, + 551297457, + 949161329, + 578931252, + 592202875, + 85849288, + 106589736, + 981022427, + 828490766, + 291562890, + 722400170, + 957915970, + 797047978, + 175527056, + 988123353, + 462280656, + 524285460, + 32119028, + 632894937, + 219091465, + 190343289, + 719577249, + 197518061, + 393396223, + 711339173, + 976930437, + 420064469, + 389494978, + 763681758, + 898968509, + 368176693, + 781004969, + 79885963, + 877108206, + 930457059, + 929309220, + 431113373, + 106645450, + 522490268, + 204950432, + 297601498, + 840822041, + 42788992, + 388426951, + 618862091, + 539035746, + 200139228, + 478108437, + 85392403, + 143447220, + 587402793, + 572129795, + 646047777, + 363432306, + 859087230, + 211561185, + 355554209, + 759063641, + 851023938, + 8536451, + 47160110, + 295743470, + 659771860, + 389348670, + 471230723, + 548257914, + 909125326, + 829623391, + 814571234, + 335073079, + 101675816, + 723709165, + 430141623, + 805547969, + 21863389, + 107914405, + 469422398, + 488903643, + 214629869, + 591974321, + 845608001, + 446338459, + 740025665, + 408272753, + 969816042, + 82059823, + 469895949, + 250727455, + 309363578, + 512402038, + 720863057, + 119203804, + 867359102, + 233353581, + 73376918, + 603345589, + 129774511, + 254449326, + 835622928, + 631319821, + 726760775, + 299783245, + 213806278, + 495017295, + 359697125, + 881529974, + 502704479, + 109959829, + 397074777, + 399449153, + 883863409, + 537222306, + 674710448, + 206202196, + 256048775, + 420134229, + 703938717, + 317395221, + 386415346, + 151698906, + 893405749, + 118684636, + 929158986, + 962140323, + 30481205, + 840604534, + 750289628, + 338501479, + 288351152, + 45957503, + 490989597, + 258993666, + 458087361, + 187495842, + 229449633, + 277591623, + 55787124, + 40212025, + 555632084, + 355125899, + 707221426, + 260905319, + 103455974, + 921779247, + 564104820, + 453975120, + 28679267, + 844987910, + 917870946, + 833394997, + 537405604, + 42483903, + 923673112, + 408018313, + 307594874, + 52966144, + 802768416, + 646715969, + 160285267, + 399944068, + 704555591, + 33736132, + 761441442, + 281500261, + 901208504, + 408462618, + 120251939, + 801109245, + 275921388, + 36935760, + 198031419, + 89456626, + 522493103, + 190345008, + 769564320, + 851479813, + 645527587, + 467498864, + 718419245, + 961340978, + 114644291, + 847061787, + 700514578, + 752471444, + 875686582, + 630901708, + 945659145, + 784117504, + 100780691, + 961514782, + 193475399, + 40055170, + 987634031, + 711318467, + 574050818, + 269050476, + 643172404, + 740824366, + 660517615, + 239774490, + 738629527, + 441294003, + 91274394, + 804761591, + 968238677, + 676471901, + 715307333, + 255477761, + 231056004, + 151032983, + 908668210, + 665261491, + 465689829, + 199827911, + 173293871, + 502621403, + 644193744, + 457176626, + 95586449, + 559212922, + 812907464, + 306364125, + 93932351, + 504953662, + 650904938, + 262428421, + 79736987, + 405245927, + 629617697, + 473782892, + 267633277, + 804485252, + 40750576, + 718373238, + 802284567, + 899508943, + 33391337, + 161750596, + 571097983, + 144467481, + 39243147, + 142051540, + 992504159, + 61327913, + 237758732, + 975398246, + 533614675, + 821282541, + 803778465, + 666053596, + 482474688, + 287343026, + 402110709, + 361467820, + 660682459, + 766863962, + 940971332, + 133443376, + 299322317, + 403289380, + 91773147, + 578740420, + 178337753, + 626487223, + 3329078, + 133029916, + 3445303, + 180192376, + 348345874, + 382546435, + 166253188, + 762642188, + 407937250, + 357625136, + 577200245, + 379724244, + 19232721, + 345288519, + 722704102, + 223235722, + 598922463, + 881090280, + 630053391, + 718604012, + 141511726, + 273913253, + 102354794, + 476017907, + 422540672, + 695048655, + 265734182, + 240752030, + 72436120, + 74561677, + 369765754, + 986102028, + 271213492, + 144489834, + 932666818, + 473117188, + 947829933, + 341732375, + 416832921, + 206474181, + 188913129, + 998511470, + 73646354, + 299332842, + 270671030, + 77491204, + 199382630, + 620056299, + 593621476, + 205712819, + 370899908, + 27972373, + 247878908, + 471032089, + 602821904, + 36654639, + 472210204, + 1506888, + 675608009, + 188051949, + 1167041, + 532098903, + 476252659, + 669257691, + 559553425, + 715122734, + 20547462, + 536253493, + 64166682, + 494508143, + 856419984, + 546429105, + 401304239, + 483683742, + 561236488, + 925680184, + 97940018, + 739642396, + 215456008, + 179172199, + 457743168, + 454303229, + 40214746, + 666384953, + 570926099, + 317619550, + 675864306, + 585532696, + 579862672, + 529502563, + 740576505, + 385691413, + 560222402, + 93681395, + 542474751, + 950202120, + 878048451, + 808731428, + 463878722, + 831849211, + 690138855, + 104977773, + 644018655, + 81525857, + 621911831, + 722700955, + 885090699, + 165054401, + 214052164, + 53318648, + 531691184, + 780786743, + 759193573, + 810047374, + 385843571, + 636137416, + 699791663, + 918197910, + 917669687, + 604733759, + 128077557, + 282018282, + 818485977, + 404253604, + 224796331, + 830717554, + 736892077, + 237971203, + 686952929, + 832352844, + 939385224, + 864533054, + 558246504, + 332102058, + 181428997, + 170905489, + 965822013, + 311167709, + 424290155, + 324675837, + 744974423, + 923753558, + 215435880, + 661537145, + 98598118, + 401814655, + 585513086, + 500782111, + 982056643, + 280836371, + 777948762, + 62053892, + 989591926, + 558089027, + 150308517, + 102494307, + 761855398, + 491719540, + 313833799, + 787853830, + 680999807, + 285474868, + 823831355, + 487419754, + 775390507, + 774844102, + 674678210, + 107334650, + 651914174, + 731087618, + 424443194, + 779124300, + 311082994, + 66146814, + 574712978, + 195648032, + 47340149, + 740048564, + 774440625, + 912386616, + 106712487, + 990929093, + 479657623, + 579562917, + 979925905, + 896835207, + 588948714, + 924994467, + 641703137, + 103851144, + 181744391, + 903478053, + 173534727, + 835429479, + 779727670, + 518445180, + 797801167, + 84688954, + 271757591, + 243561365, + 383869750, + 12503155, + 733977353, + 328482802, + 220455684, + 325796704, + 701277435, + 225703491, + 371908522, + 315305513, + 943278837, + 417213490, + 476407708, + 204101784, + 924105650, + 956566869, + 187723133, + 674794433, + 330150559, + 145352675, + 764384131, + 523608159, + 522652896, + 240079428, + 588212077, + 826744362, + 678228374, + 713681319, + 323625951, + 626134311, + 576030436, + 172499205, + 527153247, + 849978068, + 538483200, + 307960863, + 288873086, + 708805257, + 929145923, + 796650440, + 755467254, + 516490791, + 566444533, + 179811163, + 368151876, + 375227087, + 962418280, + 844732958, + 660975984, + 864078849, + 767284855, + 110599079, + 414761854, + 814506949, + 640661821, + 753940276, + 211161007, + 122619936, + 855029226, + 846373552, + 124254601, + 976515689, + 702139420, + 289323689, + 800855803, + 895860146, + 52670232, + 236408258, + 337587658, + 20052478, + 107643886, + 821932709, + 47777713, + 424699248, + 787285352, + 11511992, + 435779428, + 37640569, + 105997829, + 555901379, + 256164510, + 394017575, + 138177804, + 72280161, + 269242166, + 705900441, + 507045556, + 875410672, + 600076836, + 366396719, + 742936519, + 826096577, + 268159050, + 108434341, + 498995760, + 52964357, + 33585445, + 163960723, + 928550671, + 367423573, + 24222656, + 574303907, + 909532602, + 579341391, + 380140407, + 166386321, + 230546300, + 520910726, + 851814753, + 454958295, + 285031541, + 117589106, + 93524253, + 433786619, + 758377794, + 119826477, + 843242724, + 573561994, + 185503411, + 711162233, + 7833516, + 897992628, + 791063982, + 842376379, + 286786970, + 28894124, + 373799675, + 731072534, + 133306498, + 518557782, + 207121887, + 133229360, + 681637585, + 454196646, + 664997512, + 643888558, + 473008641, + 79626084, + 300700803, + 191904399, + 294943269, + 650725754, + 678191650, + 369444142, + 542419740, + 995746712, + 100493269, + 213208444, + 395996385, + 153421443, + 958461258, + 45564257, + 969273327, + 259908894, + 810923083, + 98927862, + 520543653, + 195700116, + 369892009, + 767633128, + 902866211, + 310665207, + 819037660, + 8972278, + 297942802, + 31459453, + 95988447, + 563361072, + 86692933, + 81124319, + 867978444, + 383316498, + 487051984, + 62934898, + 239833867, + 552196833, + 53955629, + 172657428, + 606474412, + 335557460, + 145557222, + 644823371, + 48857577, + 45270372, + 725657204, + 897239268, + 97006795, + 99455912, + 860385715, + 618984039, + 672552024, + 323090996, + 1130878, + 971983578, + 854323538, + 550120983, + 493765136, + 512540169, + 561639076, + 510345063, + 581009977, + 50474279, + 935374775, + 789252348, + 580877485, + 254793747, + 247650635, + 171603249, + 542555979, + 388928136, + 601735654, + 990325645, + 416595669, + 485334449, + 213389490, + 725840032, + 6462992, + 408051361, + 870301011, + 888597507, + 609682693, + 940986890, + 996838573, + 449783687, + 84467663, + 110434429, + 324095380, + 493339444, + 184782661, + 316722012, + 100792193, + 828304402, + 756504878, + 83966780, + 823557645, + 546126079, + 577093129, + 543374338, + 849555733, + 910871853, + 93692770, + 563883649, + 120131515, + 480773657, + 824738829, + 772663671, + 410735421, + 356807837, + 570974460, + 668574348, + 327972049, + 370234855, + 595632569, + 681193488, + 238224832, + 583114028, + 768501086, + 385460389, + 66838389, + 646221508, + 318319593, + 928936405, + 417756186, + 363878096, + 169957149, + 469388416, + 206113929, + 688953663, + 998234811, + 312908002, + 577528725, + 863737144, + 502698131, + 678088765, + 572716338, + 49506241, + 950917746, + 985064567, + 578032951, + 775046937, + 653979252, + 28855707, + 907658180, + 103380183, + 128592879, + 402168262, + 830451830, + 552320941, + 947382580, + 405287281, + 338298324, + 874171231, + 598853720, + 312738333, + 659912057, + 83552159, + 97149317, + 885450385, + 608808659, + 307443193, + 809488793, + 334444846, + 13540615, + 764069004, + 989411837, + 989992867, + 494376208, + 185304716, + 933025516, + 515558383, + 959573915, + 108841997, + 337676042, + 894760342, + 791444274, + 421313607, + 337925556, + 770226917, + 802806322, + 362827296, + 336345887, + 552663403, + 766035273, + 152846983, + 70085777, + 525289153, + 862330203, + 281677461, + 512692600, + 394750755, + 353567578, + 252486796, + 945051323, + 545368762, + 617985398, + 661085622, + 679889865, + 203348884, + 45884218, + 597036160, + 740552638, + 974927841, + 874985946, + 941776850, + 286236561, + 967628725, + 600622103, + 260412816, + 704410679, + 368354222, + 797512010, + 109104239, + 549187430, + 383658072, + 698882757, + 981908961, + 859206008, + 745484739, + 57199793, + 972706842, + 593761504, + 942002813, + 898482953, + 476560035, + 475965690, + 693678800, + 683701966, + 333391163, + 576355713, + 810265280, + 272429292, + 558257999, + 109464290, + 179138554, + 41466949, + 176540931, + 189861841, + 981234983, + 424636343, + 124258832, + 800922188, + 418732796, + 380582968, + 905507432, + 506342546, + 808914618, + 757178351, + 587270257, + 760521781, + 911011621, + 354844574, + 124637577, + 866964211, + 76936541, + 995624618, + 449681445, + 528960601, + 296202055, + 7345553, + 222383668, + 185814912, + 119281004, + 596424749, + 518415262, + 785769749, + 638400725, + 391979220, + 345960069, + 869376035, + 807042212, + 549559674, + 526259562, + 795429429, + 881280355, + 429003935, + 995613209, + 569463349, + 877093595, + 419656156, + 835479133, + 66941963, + 259274570, + 825432626, + 454765865, + 819550971, + 560993317, + 324416025, + 602721331, + 310489512, + 263994145, + 154753998, + 745457465, + 296265200, + 605405662, + 250004664, + 726772805, + 989003967, + 908444294, + 2920588, + 582688591, + 251601325, + 443210894, + 675453202, + 540306057, + 732456118, + 395282948, + 835086136, + 852001992, + 83764786, + 40667549, + 951979223, + 808652033, + 869454031, + 905453644, + 325720543, + 996372842, + 579542889, + 619916537, + 693010352, + 489068235, + 927058352, + 610405815, + 339728522, + 235234812, + 878570623, + 852372411, + 781151027, + 553607427, + 15363387, + 717303588, + 698589801, + 597745275, + 789292153, + 880270263, + 342877813, + 688838394, + 284787111, + 619088937, + 215590940, + 694355700, + 293942294, + 383390671, + 935896784, + 275503424, + 196619482, + 893285648, + 996765693, + 522322373, + 146765950, + 456733515, + 551795855, + 77949424, + 852104082, + 111825070, + 633615404, + 239413760, + 233191069, + 574380711, + 487199587, + 900723693, + 412684785, + 279283213, + 370635070, + 736314697, + 612268011, + 622205130, + 95438309, + 752687355, + 211208420, + 919014092, + 357355447, + 919683657, + 364605565, + 695480980, + 989316742, + 344130607, + 466273897, + 842499131, + 11997156, + 951942443, + 99086312, + 185365541, + 719618851, + 223250053, + 531648148, + 524358945, + 647562599, + 761151530, + 852435953, + 700025611, + 916514242, + 781097730, + 18965179, + 73094835, + 67009942, + 868623138, + 985274163, + 905813142, + 766811906, + 326396497, + 596910842, + 378542348, + 584198061, + 261217027, + 32571459, + 531749954, + 841916611, + 480237711, + 602064862, + 684835787, + 538121019, + 802965947, + 433618520, + 589885902, + 626474801, + 674154450, + 741087985, + 531854984, + 447766527, + 866780667, + 42336726, + 914565176, + 822599924, + 176281041, + 391936955, + 433183131, + 667990938, + 83095976, + 36239261, + 597891560, + 616093281, + 5539284, + 606304917, + 577141687, + 674393153, + 313714352, + 217655441, + 561559108, + 976206234, + 137262940, + 646906336, + 716624919, + 751223980, + 618658735, + 676580770, + 406712107, + 13866377, + 619258417, + 740252049, + 78799433, + 49195247, + 30060546, + 573665494, + 968860567, + 579977314, + 411406301, + 908988429, + 717483905, + 30487385, + 409674069, + 348889880, + 536894554, + 175243472, + 672001272, + 279723668, + 225105401, + 317982189, + 61453406, + 487580996, + 596486437, + 414801014, + 120156595, + 721921242, + 485615087, + 517512313, + 998563768, + 385496905, + 447209845, + 655020908, + 489858077, + 674990726, + 239787862, + 347298343, + 245618144, + 766957722, + 869189848, + 429135495, + 334140348, + 710850674, + 64730003, + 698676127, + 961141339, + 984087171, + 733228099, + 594763978, + 103019364, + 768957906, + 418147016, + 330657156, + 356151898, + 224529032, + 396734064, + 376763479, + 527936717, + 770677401, + 228374783, + 126384213, + 934714492, + 749662421, + 708250738, + 792394347, + 603523181, + 785978433, + 609748589, + 421821890, + 19173848, + 654740655, + 255291638, + 499622185, + 978968167, + 255392627, + 488518263, + 333984564, + 49304163, + 825206766, + 346315378, + 521189558, + 688279418, + 987150806, + 846638527, + 464217069, + 776784899, + 135981291, + 105135949, + 208289723, + 646554056, + 332293053, + 442736141, + 188226460, + 215789208, + 138174560, + 592218878, + 653613996, + 900037555, + 447860103, + 717227196, + 448725582, + 60123482, + 769184604, + 323146137, + 64756097, + 782767668, + 337782619, + 445617802, + 81836694, + 144328560, + 564462110, + 685333335, + 192038120, + 191947512, + 453391184, + 598445831, + 258686250, + 987489337, + 586958329, + 329345726, + 931328536, + 355611485, + 678166421, + 342687338, + 383412041, + 795546264, + 865592850, + 874327994, + 381911315, + 694050430, + 745616572, + 23713184, + 660564632, + 77866698, + 632123422, + 639450650, + 903327210, + 241009825, + 679477476, + 712084634, + 467313823, + 544925538, + 291840575, + 892290046, + 963064003, + 838258507, + 392722392, + 59191994, + 457691534, + 569468050, + 77122561, + 387385228, + 930025991, + 235190867, + 371859794, + 441674240, + 968833855, + 925115259, + 777264344, + 645589091, + 104939955, + 815752445, + 150235142, + 627460803, + 706095376, + 177407119, + 20126085, + 537612254, + 733398470, + 800830806, + 41806905, + 332874224, + 51656492, + 378935836, + 251743565, + 510654415, + 464392944, + 544260210, + 833754051, + 195234792, + 299761392, + 925978906, + 457196399, + 503698712, + 107707281, + 62499352, + 415364722, + 495618004, + 280067077, + 61714292, + 794471720, + 118721274, + 791617134, + 234264639, + 775707710, + 613740901, + 402118540, + 770764445, + 531948657, + 764812423, + 817709672, + 775516771, + 376800145, + 724976445, + 428222566, + 275687964, + 812158735, + 800529615, + 67720569, + 112275127, + 93017313, + 569091474, + 948224004, + 73020223, + 364028206, + 478051176, + 261123233, + 727577865, + 379562349, + 721761824, + 284636392, + 899996212, + 475008901, + 51094687, + 598945856, + 163034792, + 101270354, + 158545962, + 704249237, + 570341606, + 208632339, + 215763178, + 939746840, + 789746151, + 347981524, + 130810868, + 105559948, + 10052307, + 40379749, + 956485618, + 356426423, + 904734098, + 384562504, + 35979345, + 421313463, + 798181183, + 672386287, + 33975308, + 977917089, + 106553803, + 385127774, + 658603049, + 387971061, + 574294014, + 692442714, + 888359348, + 719902819, + 271637867, + 875949580, + 87146486, + 302234534, + 84557591, + 143298125, + 233406675, + 91604257, + 478245644, + 965849536, + 909314012, + 784622758, + 710485916, + 720180937, + 28865996, + 582629024, + 191242812, + 944239809, + 256594268, + 881543462, + 66373940, + 255145095, + 203116237, + 396237979, + 548633450, + 583695071, + 845576177, + 768835118, + 96160897, + 854420863, + 906996306, + 517320948, + 278109403, + 511594676, + 599701949, + 347104608, + 928057125, + 123672135, + 31464331, + 548156883, + 520598517, + 306098618, + 840025741, + 799153722, + 125594930, + 59734421, + 30718316, + 238449178, + 479463034, + 190922872, + 58678430, + 457338028, + 385691409, + 476574662, + 872872802, + 225080512, + 538137607, + 897838317, + 1096368, + 200768967, + 333134346, + 973724191, + 203031742, + 441405017, + 524561663, + 621331211, + 516869709, + 184389030, + 422546122, + 464233037, + 136705980, + 728662413, + 425709861, + 543848460, + 498969960, + 891941, + 909292884, + 94260512, + 983060790, + 64985685, + 692128896, + 901518431, + 129847054, + 645336449, + 494020862, + 217111084, + 739727651, + 380346460, + 661926068, + 805264711, + 250873211, + 80296717, + 273596715, + 463941095, + 596253695, + 377498853, + 374529413, + 236192566, + 448450710, + 458304190, + 445586817, + 934671396, + 951316172, + 548906586, + 48612385, + 494798144, + 690156394, + 858024161, + 778858270, + 660386928, + 65816071, + 366584952, + 421337068, + 439222200, + 204512149, + 580575632, + 72295461, + 562336296, + 171532892, + 881913285, + 129273202, + 542090702, + 984487562, + 512134183, + 361973477, + 858383931, + 355291940, + 598286070, + 464495931, + 270923827, + 392311474, + 811923288, + 773431731, + 551966809, + 694703171, + 470623217, + 36222177, + 912363586, + 721144439, + 863705054, + 895346502, + 360101391, + 1057773, + 575551143, + 813757489, + 706957740, + 596941446, + 575159600, + 518894511, + 765191701, + 739083127, + 352162624, + 593879374, + 280186941, + 731538545, + 837932608, + 209341449, + 963450938, + 578636770, + 294408018, + 108209852, + 945901723, + 269907064, + 879576225, + 151916759, + 913786088, + 952755826, + 596039178, + 994857167, + 725261826, + 36947395, + 254329752, + 854505153, + 192186150, + 954581668, + 576104495, + 608243712, + 601501019, + 392219914, + 473516887, + 50140872, + 709237172, + 798846123, + 305902072, + 617175670, + 246496903, + 889324875, + 83607783, + 421443076, + 442176836, + 912117055, + 775505045, + 689776441, + 44730679, + 39233036, + 514710124, + 569352791, + 504798947, + 760396259, + 868129724, + 674686656, + 504417300, + 796832350, + 808558254, + 735009920, + 753806670, + 557188081, + 994307511, + 23191543, + 265882485, + 924350299, + 806633003, + 712490242, + 769257315, + 956159, + 669864698, + 949392879, + 236238962, + 245569993, + 400163315, + 388532812, + 577888101, + 829222178, + 203324357, + 305805743, + 385401783, + 993477192, + 891434964, + 827551902, + 407493111, + 925487433, + 482724964, + 716187107, + 152801963, + 545689470, + 286012981, + 978430321, + 16081423, + 30642163, + 183667106, + 787139011, + 665215469, + 198592326, + 498814191, + 991941883, + 406301543, + 765569060, + 436089039, + 747939681, + 647402864, + 104276176, + 842308704, + 756533946, + 37176631, + 850632460, + 134480337, + 909465770, + 173660234, + 74405402, + 919140794, + 392847545, + 285164145, + 914677522, + 965238724, + 420212580, + 98840815, + 140777567, + 815689564, + 888734912, + 833014795, + 491716891, + 125392756, + 607040999, + 90588475, + 121140212, + 635219047, + 312245967, + 717883664, + 185966426, + 666195054, + 14080036, + 872948143, + 705531232, + 369122767, + 868971826, + 309278071, + 475433933, + 724133766, + 164548688, + 816199014, + 176875097, + 504746864, + 518670801, + 942612381, + 169412591, + 377165881, + 856203854, + 426555451, + 186590900, + 166310227, + 537728486, + 147583599, + 524028789, + 682046360, + 944341933, + 100803683, + 388030076, + 817072505, + 854048073, + 244827002, + 124655865, + 884032618, + 777108077, + 857548484, + 966689005, + 599074938, + 953398496, + 487915955, + 737029682, + 382288226, + 999641713, + 24479245, + 319214931, + 658969325, + 321149409, + 482207657, + 855578624, + 382738297, + 152084148, + 19030066, + 718750031, + 395013854, + 813692538, + 225278515, + 753356335, + 625314949, + 10319456, + 905975164, + 230514397, + 737558968, + 142554687, + 210791436, + 762434637, + 53139455, + 744208977, + 691429168, + 613877584, + 821442870, + 864055646, + 165922588, + 538949985, + 991324442, + 482026728, + 450337745, + 229019450, + 910098049, + 267783092, + 646311994, + 148686709, + 481769535, + 427711825, + 351537411, + 361963638, + 76367774, + 561727633, + 823939092, + 227835647, + 219570532, + 154377598, + 495577211, + 941387373, + 484088613, + 153483587, + 985464731, + 649427575, + 95217182, + 825311755, + 974559273, + 332217377, + 691775307, + 713787960, + 807643916, + 601437997, + 307189733, + 416870973, + 505366341, + 964015118, + 312477955, + 150779455, + 327779974, + 612366315, + 312802901, + 897113267, + 150021216, + 863527594, + 814008839, + 96206996, + 551437073, + 908795568, + 827087052, + 565179602, + 394682559, + 989272027, + 830830010, + 778158965, + 519323043, + 423096842, + 62728625, + 542381516, + 885963135, + 849547406, + 229136652, + 80411291, + 782355719, + 486454622, + 737646881, + 468022605, + 295615214, + 283560683, + 770553835, + 642961277, + 885635970, + 92120198, + 235210300, + 198996690, + 639808751, + 488727741, + 915804120, + 765761331, + 548415038, + 269419593, + 506733660, + 712537102, + 965867619, + 547437437, + 239738778, + 24894528, + 413013737, + 413204118, + 821439529, + 310151141, + 478066513, + 354170399, + 458009425, + 589551259, + 411229704, + 488435910, + 386217589, + 703020251, + 634337427, + 409791403, + 857652589, + 823087444, + 10792859, + 463459162, + 748195775, + 924891440, + 356567825, + 173987539, + 162069100, + 555479034, + 34299114, + 494138058, + 724171555, + 751968496, + 152756761, + 725754099, + 486412795, + 978065974, + 382914491, + 652867614, + 912106190, + 644373146, + 821119819, + 401186403, + 780239272, + 703259082, + 592129930, + 839956086, + 392517048, + 302862578, + 4202958, + 556354926, + 172331154, + 675063187, + 617894432, + 305707039, + 774371595, + 366194315, + 160964317, + 944104077, + 522814859, + 345784715, + 316498835, + 840926624, + 419799563, + 200863888, + 750027352, + 579984398, + 992818181, + 105099840, + 172760698, + 288353491, + 955534366, + 961616277, + 628029535, + 779977522, + 259273089, + 302383727, + 262292676, + 469187699, + 929106117, + 301416520, + 331216857, + 263041463, + 889593151, + 663782352, + 32703198, + 607645779, + 482073648, + 949454102, + 319437571, + 760121969, + 683532612, + 764813576, + 170396156, + 840453955, + 758879192, + 382128093, + 650812380, + 443403703, + 222043830, + 701784268, + 96959012, + 380856183, + 645482181, + 879070201, + 984212185, + 987547942, + 774950044, + 744571855, + 254067752, + 626742781, + 888725629, + 992934995, + 703628848, + 800195717, + 118063612, + 61323368, + 462780462, + 79832285, + 172941180, + 770438425, + 821383642, + 504708824, + 45866009, + 139945967, + 648178858, + 774944009, + 2290854, + 340145240, + 496835341, + 251311895, + 4014940, + 309682075, + 800264397, + 311941786, + 234759805, + 292156367, + 214581976, + 608156970, + 242092270, + 462537137, + 370547655, + 47281654, + 762044681, + 45318250, + 385415010, + 31550598, + 489056461, + 942892597, + 829627325, + 41459462, + 800223916, + 645563231, + 952797762, + 253844153, + 710725627, + 234445175, + 779468191, + 612540609, + 339936418, + 886274682, + 240578707, + 607810886, + 715797778, + 366767916, + 979914873, + 384483358, + 583381405, + 871574190, + 704787475, + 240543561, + 905094240, + 580734156, + 541428837, + 806061442, + 839176985, + 630501646, + 178266037, + 236255770, + 185563239, + 611098694, + 570594373, + 71862607, + 210015956, + 950884496, + 829796502, + 543703918, + 286896994, + 633677691, + 886551291, + 979404013, + 738728258, + 253794042, + 663212785, + 559174449, + 448424582, + 517090892, + 888834207, + 574254484, + 961863299, + 323295496, + 622936573, + 46472058, + 78287807, + 875107966, + 638163377, + 346684215, + 9263104, + 990165992, + 902284234, + 274481740, + 805695809, + 672458663, + 908783286, + 65531672, + 371304841, + 161792504, + 434364980, + 900440081, + 198855761, + 373248848, + 373189256, + 708531671, + 910812985, + 196695467, + 543097289, + 318239319, + 236489539, + 403037290, + 587760445, + 215544422, + 934976222, + 443128086, + 123995112, + 343201889, + 504000477, + 637841283, + 551200698, + 8605913, + 661152182, + 414745296, + 305983792, + 747008903, + 231495028, + 43813556, + 864259207, + 906999308, + 484276672, + 262011104, + 935806150, + 398347619, + 749145212, + 238575016, + 236182071, + 496052592, + 2918395, + 260098390, + 285763408, + 345047467, + 567945432, + 285877496, + 864165175, + 452898767, + 5472849, + 32750441, + 292911209, + 132761940, + 999180238, + 76183694, + 653606882, + 913651064, + 487942053, + 181642367, + 589656211, + 74525157, + 78893726, + 419882564, + 263985937, + 328959797, + 2801214, + 58238074, + 39594491, + 274488803, + 518930514, + 36730028, + 787140732, + 536430970, + 639005662, + 155288663, + 632162451, + 729349495, + 875644555, + 375688525, + 674221558, + 904964211, + 533957836, + 935798560, + 698532664, + 624025322, + 703240082, + 181145974, + 105270235, + 485374538, + 122103499, + 166419326, + 816440940, + 372592950, + 912678253, + 375303042, + 633313274, + 875613607, + 625266161, + 644383146, + 907260653, + 630509859, + 3664695, + 15699693, + 46927008, + 160508324, + 229490826, + 509622211, + 732768383, + 80563664, + 165670370, + 787259783, + 961702618, + 3508396, + 662581834, + 983578185, + 22454607, + 957011870, + 195051467, + 703248341, + 136180554, + 143672365, + 179935572, + 194313556, + 386575814, + 539455002, + 802371123, + 551225485, + 180646044, + 2177733, + 858205206, + 805957222, + 743872156, + 115686623, + 760536714, + 273499229, + 302794538, + 943051520, + 559934214, + 234118829, + 745304381, + 703007443, + 495552792, + 595729163, + 880004630, + 444028443, + 319238243, + 736047233, + 941899102, + 735156551, + 377419897, + 281974908, + 966269672, + 283449197, + 839911740, + 5410528, + 577639038, + 684502268, + 896760679, + 264506405, + 695278823, + 888036793, + 679552914, + 960500501, + 276878567, + 451645825, + 885172410, + 749714322, + 467023469, + 547222190, + 641309850, + 941535577, + 789917136, + 33850681, + 185017280, + 636861250, + 506973336, + 979911627, + 669689041, + 548482880, + 52911909, + 15056346, + 196242148, + 497034770, + 745463938, + 83166201, + 835827469, + 55863867, + 195282951, + 46378517, + 352105645, + 562135566, + 698594760, + 988722550, + 973020080, + 168018070, + 822949041, + 894176898, + 947057705, + 256683109, + 305580341, + 963279900, + 948349906, + 320234188, + 255821449, + 318018386, + 644687810, + 110365825, + 402496030, + 333519274, + 129364220, + 11092815, + 723257320, + 495592184, + 631309027, + 880009188, + 849935547, + 464092293, + 440137835, + 229583781, + 325272160, + 252460281, + 7925450, + 286615879, + 548063519, + 681698591, + 370939767, + 787090109, + 373501847, + 784901333, + 976655400, + 969037023, + 338817382, + 557984004, + 442955928, + 224523477, + 308233289, + 385031063, + 71538400, + 751797223, + 689076423, + 355424952, + 56645481, + 16824821, + 213266757, + 974129263, + 772637772, + 638101616, + 383289282, + 690997561, + 331296571, + 400654523, + 313556603, + 76082353, + 302591278, + 564232560, + 89510929, + 491886698, + 444877553, + 157395646, + 419934865, + 484474219, + 161649464, + 281093131, + 742786218, + 524618137, + 94122679, + 852629817, + 981980698, + 26210962, + 704089464, + 587348353, + 208623213, + 151948789, + 652687506, + 743350743, + 642809474, + 697639577, + 268715581, + 223013805, + 966616324, + 165457371, + 627085482, + 688674127, + 315330012, + 611127023, + 124560589, + 646856942, + 916705789, + 926165619, + 484359471, + 947748845, + 794631145, + 111514400, + 706294725, + 217852618, + 419051075, + 493788174, + 746392430, + 241477982, + 244284285, + 412131589, + 405906463, + 161229615, + 580308167, + 983749128, + 971703368, + 901982613, + 577986259, + 623547041, + 528053240, + 307472792, + 593443833, + 320205639, + 104252841, + 625999972, + 713641035, + 145675459, + 456392610, + 392343285, + 912837682, + 710155571, + 254531757, + 257380464, + 227833241, + 874421715, + 106425676, + 892365521, + 399628090, + 454123833, + 974115307, + 361042589, + 828960161, + 13430404, + 340220601, + 584469476, + 625275881, + 663798829, + 39170935, + 718249402, + 733511936, + 18312224, + 769849964, + 182334389, + 843432929, + 998712293, + 818439373, + 139670982, + 311856588, + 585214175, + 703946616, + 708719769, + 51518287, + 202565097, + 727864816, + 351823905, + 197407686, + 305328983, + 36991302, + 712144578, + 564967582, + 386061421, + 32379911, + 404875066, + 440537546, + 208533688, + 600445948, + 658577900, + 553932626, + 751286527, + 98360460, + 521741871, + 666432125, + 239988898, + 582319553, + 556217651, + 680458107, + 48681980, + 751208022, + 113181054, + 930278266, + 142706301, + 568930612, + 558929952, + 713586163, + 255194722, + 869472682, + 452475170, + 38394135, + 978464772, + 325897535, + 641851056, + 721468079, + 756682349, + 316689518, + 733177541, + 48039703, + 835282705, + 349026805, + 921752074, + 795032872, + 950852447, + 222812251, + 83669459, + 382256160, + 236538630, + 698285846, + 426127580, + 270837526, + 701335351, + 128538599, + 268271576, + 26653481, + 739145792, + 501421001, + 575880540, + 588656604, + 292285650, + 100809162, + 516520849, + 734841734, + 620221489, + 578229682, + 1886363, + 868418521, + 229529468, + 674556119, + 487368543, + 274908119, + 565317382, + 503490895, + 498763871, + 434118058, + 202048033, + 550274104, + 115773412, + 360794999, + 573571486, + 935446615, + 830590025, + 896045066, + 695247867, + 238199062, + 262066940, + 750665452, + 833909504, + 587559778, + 163030207, + 186329379, + 868715944, + 789451672, + 448541550, + 230624480, + 963853823, + 2883947, + 513375703, + 55707019, + 366628270, + 921499379, + 802365401, + 635490551, + 807643846, + 216166570, + 987978292, + 595407820, + 118232324, + 954152806, + 89799231, + 461173284, + 693154341, + 441026061, + 542000805, + 417419489, + 925798481, + 371773309, + 241341162, + 930871954, + 616652399, + 247440302, + 378428018, + 60539432, + 210658390, + 53017839, + 629073753, + 985364126, + 970947909, + 132100442, + 819577283, + 391218636, + 47199857, + 554195841, + 157149007, + 198581106, + 567185780, + 269960119, + 379297520, + 901221768, + 279635365, + 152152232, + 702782438, + 314760288, + 669308942, + 98808748, + 557592456, + 37997652, + 911356891, + 321844133, + 927186779, + 754187692, + 826990335, + 842530531, + 307881668, + 864903165, + 745566228, + 350033964, + 37176350, + 120937580, + 504800822, + 970914555, + 468064942, + 884894754, + 827432623, + 655268842, + 824149707, + 267137233, + 376444107, + 697669367, + 497023341, + 265964585, + 274059656, + 736142643, + 39542051, + 773066275, + 601962983, + 886489539, + 464975908, + 793927728, + 358282689, + 789163369, + 687324285, + 313744897, + 57945227, + 378476031, + 989054139, + 406230184, + 132193368, + 108120160, + 162681552, + 743575282, + 869639420, + 251197205, + 640098922, + 222981173, + 713239299, + 18329730, + 861268598, + 628377437, + 978738018, + 931013793, + 226653929, + 133213637, + 614559577, + 741040391, + 828242595, + 590112216, + 230744959, + 942282188, + 16458030, + 887832589, + 770572104, + 643716456, + 507062062, + 366395368, + 177229063, + 714555951, + 280963750, + 213312227, + 769796387, + 757334198, + 955171085, + 378260320, + 727721109, + 479198299, + 720944930, + 796909874, + 783746303, + 191248554, + 343524679, + 45961365, + 423649900, + 385409730, + 771587366, + 741333307, + 23383200, + 369866197, + 965530449, + 6180350, + 904918337, + 831387764, + 118478783, + 978099999, + 956299431, + 391384763, + 412018417, + 64414726, + 779761465, + 997691195, + 735902755, + 830762283, + 98320621, + 225795420, + 913446888, + 67698858, + 762525780, + 926177590, + 715107954, + 865225988, + 144532007, + 715735358, + 429350917, + 245767548, + 494038144, + 545271365, + 298845170, + 211391420, + 758048017, + 456376700, + 705763254, + 808926765, + 224449051, + 185244447, + 649976475, + 108640919, + 185789919, + 878400809, + 764309454, + 431918308, + 977015446, + 64999447, + 995001287, + 894858066, + 510658032, + 752139930, + 451684991, + 213749847, + 555065171, + 862859318, + 241716797, + 328905236, + 397905208, + 326501072, + 858066532, + 720888376, + 591630177, + 332871064, + 493837579, + 238523462, + 315481760, + 447580571, + 308574787, + 614195816, + 379323307, + 973614001, + 644359838, + 416913285, + 665750735, + 359860876, + 57199542, + 915647249, + 595725390, + 109639037, + 745605518, + 58716967, + 542603627, + 307988290, + 677655425, + 7792142, + 33831841, + 543312931, + 292129146, + 707967456, + 644718710, + 205511192, + 763410504, + 556755574, + 957485705, + 489288045, + 553785613, + 136958546, + 940600193, + 289276966, + 71268704, + 383329987, + 404350687, + 261848214, + 514544828, + 296481298, + 651338752, + 57817451, + 311183765, + 116832483, + 739571022, + 174991927, + 240862125, + 241667508, + 665368089, + 595301314, + 799953201, + 875687855, + 143889597, + 375140184, + 380317752, + 689116055, + 955823867, + 546702571, + 255295869, + 376718417, + 23813433, + 331443797, + 328231276, + 655193535, + 874600009, + 164072750, + 355916405, + 527279188, + 267177353, + 532445434, + 368447684, + 564608820, + 580407020, + 972805360, + 205049401, + 707340332, + 872592723, + 410856949, + 45248952, + 562122189, + 501426967, + 98884309, + 872213852, + 70760075, + 856796943, + 38925597, + 141248556, + 980789836, + 345363490, + 232037688, + 388627111, + 795662592, + 529655799, + 97223928, + 907341273, + 799069028, + 540305609, + 166026148, + 72155212, + 863518487, + 984141170, + 485215135, + 858492811, + 225707349, + 34929090, + 465589469, + 402531366, + 880555894, + 445820754, + 313118787, + 765120794, + 535619358, + 968515105, + 248490934, + 561652734, + 726796323, + 298566871, + 595550978, + 289455360, + 108896537, + 338101408, + 165160348, + 330080735, + 47415330, + 784799001, + 595243863, + 207513278, + 495981097, + 88021848, + 314283019, + 804137627, + 562605730, + 776712272, + 181405166, + 632256513, + 120833930, + 590357072, + 820985686, + 268354169, + 395166956, + 49645517, + 208638132, + 214271934, + 855229675, + 228830826, + 743368693, + 247132575, + 704081398, + 562465429, + 845937946, + 410978599, + 971062880, + 510110685, + 98205372, + 462903466, + 407285528, + 584542020, + 414531529, + 318178836, + 358579919, + 929228046, + 896276149, + 64958837, + 982803128, + 996906056, + 170928101, + 417565216, + 11404472, + 660032101, + 832912325, + 130047737, + 974522250, + 706302133, + 323342718, + 474326956, + 258803911, + 91638016, + 292544724, + 954898686, + 95963228, + 422404987, + 375219399, + 785495108, + 375221197, + 754869574, + 105172765, + 635963052, + 357588926, + 209590306, + 595602035, + 170488820, + 113594018, + 151715544, + 386151307, + 120657271, + 258288852, + 192284020, + 433201047, + 322603664, + 979920964, + 193581294, + 257456800, + 931770146, + 392765141, + 157670266, + 939958365, + 350382357, + 987259651, + 405712574, + 427642126, + 636547836, + 879382788, + 697152615, + 128634252, + 437120957, + 274374261, + 339486994, + 964997494, + 733828623, + 969091245, + 92695216, + 193571359, + 1532690, + 821798443, + 636329728, + 692774353, + 976234995, + 370233917, + 943698691, + 743487430, + 528178055, + 187812710, + 507821419, + 935014076, + 605690001, + 177125102, + 298838724, + 32052365, + 833119048, + 766145479, + 508073842, + 97028898, + 842212037, + 175815045, + 544196273, + 152967360, + 442493635, + 528143676, + 221288243, + 945079578, + 431813259, + 868796240, + 64459937, + 916512574, + 939042485, + 127532820, + 714451101, + 386839469, + 552479123, + 248987036, + 337025316, + 867697291, + 847904381, + 183940303, + 49207826, + 503372852, + 319315531, + 975686991, + 703652120, + 572419564, + 884986310, + 387566551, + 231708921, + 799099056, + 402199547, + 616568683, + 588999110, + 417483702, + 807267918, + 141925927, + 262686484, + 375698299, + 323208772, + 577354654, + 542470092, + 909922382, + 376802368, + 714502293, + 386258217, + 481459634, + 927626285, + 107678598, + 554157798, + 7934308, + 848212950, + 80996129, + 392899332, + 759239073, + 582900183, + 287054859, + 802305193, + 529155551, + 442020888, + 465099659, + 186336261, + 44954624, + 694044427, + 127806856, + 640409227, + 803728220, + 946471200, + 602198919, + 450685535, + 581564574, + 482852732, + 254064594, + 373957508, + 986117530, + 442622365, + 554471361, + 359173776, + 841254633, + 195738361, + 75886032, + 788396695, + 20428037, + 93651515, + 72358372, + 136464916, + 651723632, + 563127125, + 25490727, + 173599858, + 997501153, + 987166235, + 613192305, + 435826972, + 482466771, + 205116129, + 838999426, + 200607887, + 614489182, + 264713778, + 783627647, + 990062426, + 130910673, + 607718694, + 610377309, + 573971785, + 44762487, + 835681954, + 901110225, + 810635240, + 907611164, + 18990065, + 891266584, + 443709899, + 856361936, + 333544319, + 449821086, + 391819344, + 492571820, + 569201419, + 43290455, + 715139587, + 977360249, + 911158090, + 208880862, + 120246831, + 325012151, + 933168271, + 59056896, + 452251614, + 42677113, + 329291183, + 507672703, + 828848904, + 805074800, + 927800487, + 112119792, + 671013909, + 280205230, + 304046225, + 233620113, + 82697693, + 603202922, + 431708257, + 924598392, + 771690178, + 162826872, + 556646653, + 754736670, + 691737621, + 893738106, + 828481698, + 847417499, + 711097283, + 335748196, + 648357347, + 253025199, + 401170055, + 175724403, + 176989383, + 329081393, + 821902026, + 668264335, + 931168239, + 31404023, + 264373266, + 209633728, + 281695773, + 900023297, + 304588401, + 112910078, + 535724287, + 512675127, + 211323872, + 424940210, + 940956705, + 852411436, + 720955844, + 276896509, + 775331342, + 843433286, + 93024939, + 126634849, + 237184412, + 942062873, + 791406974, + 124699996, + 579130417, + 725044404, + 366851505, + 528133958, + 337290560, + 932310854, + 734525480, + 223812483, + 834958217, + 674476081, + 818888091, + 63761621, + 254695498, + 805113726, + 840952636, + 570419319, + 487364464, + 726128723, + 796227572, + 794725038, + 950841452, + 394301434, + 791909502, + 544663440, + 399423788, + 854629610, + 723654707, + 106580963, + 952996021, + 783544010, + 533572122, + 323567763, + 219718785, + 144002928, + 348711, + 268688938, + 811586929, + 599960972, + 225211524, + 527867956, + 336262974, + 92080553, + 737311714, + 196860926, + 598253403, + 190309270, + 565120269, + 465452917, + 731607347, + 272736106, + 503430147, + 212730386, + 904925581, + 720277894, + 260795263, + 210596187, + 694790634, + 624776087, + 671663944, + 847511013, + 683925203, + 636072522, + 702102668, + 447575011, + 851687143, + 883015212, + 439516260, + 16750807, + 485427525, + 888327453, + 221465665, + 909695686, + 780635295, + 932254232, + 203119849, + 320378411, + 668426417, + 763693420, + 471444790, + 241684027, + 982953794, + 960328452, + 997520736, + 913929868, + 924579815, + 777271518, + 205492851, + 221105073, + 417782751, + 117922847, + 446445473, + 501688424, + 569325831, + 353735051, + 100947722, + 552928046, + 550517992, + 409502063, + 956136319, + 35561079, + 319349605, + 285689093, + 340466719, + 699578802, + 316307848, + 485863505, + 884645562, + 228275908, + 892506654, + 31171149, + 806590153, + 796510306, + 200902063, + 738864517, + 226777850, + 111505909, + 387592741, + 865027458, + 513133876, + 910770118, + 692239882, + 659768857, + 407995501, + 132054630, + 414570827, + 767478608, + 767363709, + 237939981, + 167125796, + 457778291, + 436383327, + 247025420, + 427653923, + 687809316, + 542568515, + 258138862, + 429591349, + 831078643, + 691563804, + 6076712, + 32832048, + 651801971, + 832436927, + 383723073, + 516565758, + 663885240, + 634741769, + 156052531, + 386969098, + 896948673, + 62889360, + 806506987, + 989947807, + 959873038, + 561568856, + 907200468, + 336886056, + 399053830, + 293312423, + 883103631, + 269935595, + 847651833, + 79170664, + 547333795, + 376080999, + 593947268, + 187421151, + 264310614, + 657721321, + 621107862, + 493669992, + 764718750, + 232810153, + 752127194, + 342901750, + 357453511, + 698109784, + 859753082, + 489914655, + 955400174, + 519959228, + 246128707, + 402468393, + 685729119, + 69856467, + 367165748, + 138369385, + 562354182, + 262904273, + 10199255, + 477488697, + 132021531, + 739029924, + 779281102, + 63612578, + 626669690, + 897048978, + 419058738, + 601638816, + 744011098, + 576599564, + 812800558, + 561703165, + 39063056, + 479380867, + 929458705, + 451396871, + 307851439, + 13291917, + 491960891, + 720528393, + 408003208, + 948856978, + 216061878, + 45363753, + 431877031, + 631572742, + 486743468, + 754614879, + 938257294, + 263274600, + 103073283, + 624897259, + 634425191, + 772325148, + 827981337, + 239509894, + 408247025, + 451882216, + 474576441, + 35104984, + 293481671, + 932372206, + 416207244, + 423187228, + 886949683, + 424331940, + 448827726, + 338304841, + 675688993, + 682176060, + 474347768, + 874258027, + 680756980, + 872130223, + 109959412, + 229729139, + 354010016, + 205799359, + 438538723, + 110254676, + 371094555, + 291120096, + 450255246, + 641644943, + 850492225, + 298814161, + 988770042, + 304274002, + 716843243, + 866866936, + 974204375, + 806858506, + 826482270, + 794173391, + 878088530, + 856980379, + 908736049, + 487913784, + 142531387, + 358480247, + 727393711, + 609738411, + 426290335, + 112548255, + 211014775, + 209912135, + 41133458, + 35264820, + 743422796, + 164235339, + 13758379, + 953981087, + 196733812, + 701044552, + 712119106, + 871012964, + 380621390, + 426359759, + 218396581, + 696874394, + 704436303, + 441930125, + 222108652, + 317952760, + 961443205, + 630423306, + 258285433, + 562451173, + 982711292, + 810991713, + 683327677, + 493663435, + 314871021, + 716089855, + 758511951, + 406227696, + 67761985, + 651785462, + 185683564, + 263942043, + 266487354, + 877115452, + 279581012, + 564191654, + 188659276, + 565082849, + 412460785, + 644728891, + 155611384, + 947081884, + 126227509, + 300457549, + 909107582, + 734620264, + 516285455, + 475335700, + 516547497, + 22021010, + 371484309, + 13475656, + 271775417, + 240483396, + 493507914, + 251423575, + 342383990, + 495373032, + 5646399, + 559212030, + 430495522, + 746456282, + 354419228, + 308384321, + 350513233, + 537447859, + 500997406, + 112435378, + 667185557, + 358906711, + 900407852, + 325662938, + 203365486, + 287355104, + 370227382, + 948358472, + 987413314, + 632990611, + 657630885, + 985825811, + 629071056, + 392255905, + 469519912, + 152864550, + 116324934, + 896431336, + 691886714, + 220560258, + 425470610, + 126003363, + 84407098, + 192485033, + 932678841, + 225344184, + 93908835, + 921156465, + 124830866, + 997347540, + 761390909, + 182793301, + 454895537, + 551960614, + 893629668, + 763497900, + 535489631, + 901662949, + 954715266, + 655343788, + 677661529, + 695166119, + 560716517, + 603966178, + 145107468, + 621524376, + 814733835, + 621754418, + 253617223, + 326101572, + 315225228, + 682773281, + 160514706, + 363140981, + 374193828, + 222509896, + 750780404, + 673939334, + 44143854, + 94775450, + 600235672, + 68006694, + 595204676, + 543329678, + 81916148, + 500736663, + 129304543, + 59061803, + 499771112, + 184890948, + 190205673, + 386598581, + 295062338, + 420816574, + 37465154, + 663297757, + 464682612, + 424405978, + 758902354, + 474916087, + 933979147, + 818096702, + 225532561, + 194927230, + 314379252, + 348071739, + 87576268, + 404194126, + 267546512, + 414736173, + 617817923, + 523619556, + 478369149, + 839782358, + 359701547, + 290668765, + 703427987, + 355012053, + 859392856, + 687592704, + 176163227, + 966835656, + 612730629, + 850873501, + 190900846, + 1891782, + 524348898, + 843974712, + 211926064, + 711720847, + 633514798, + 651269086, + 410030874, + 561395294, + 146011348, + 942009467, + 416449875, + 442660810, + 181053991, + 275742831, + 652219209, + 587357577, + 150583521, + 175388851, + 345735968, + 870165551, + 389517571, + 417320093, + 646833144, + 39564564, + 769306564, + 847798749, + 970327769, + 148952539, + 609517647, + 78626713, + 602969360, + 912406833, + 35184725, + 407763477, + 669360706, + 513627859, + 509484005, + 814053844, + 638591226, + 239576871, + 464961419, + 859658791, + 651839026, + 871909042, + 703465773, + 830668544, + 625480185, + 54495912, + 788286887, + 286583073, + 976295257, + 225449454, + 948681774, + 443799554, + 408335956, + 623171282, + 415363920, + 467324352, + 637361797, + 41845785, + 118858588, + 905230900, + 564201581, + 478525902, + 642649869, + 809525144, + 243304164, + 370453202, + 646373885, + 791607163, + 353127986, + 87017951, + 734063559, + 411032701, + 510185216, + 60574322, + 785080230, + 927780460, + 754693760, + 272295819, + 723996102, + 398311808, + 989380209, + 600664571, + 88397500, + 625587845, + 757337620, + 600716059, + 599453541, + 48968802, + 717154486, + 160413947, + 891968562, + 233147788, + 397846850, + 851156951, + 566889001, + 100689184, + 936478328, + 797168865, + 112635655, + 988527615, + 899075102, + 794410288, + 946657162, + 550117697, + 16711288, + 745502969, + 54751684, + 208385516, + 496782678, + 6378482, + 127938444, + 803582092, + 150282643, + 472657363, + 733417184, + 759187749, + 771343629, + 453959644, + 430864872, + 882857389, + 61117358, + 187677199, + 196620473, + 924991771, + 49630299, + 79319450, + 58320803, + 811931935, + 225293095, + 961932961, + 993014260, + 146275865, + 211750788, + 141385755, + 770732726, + 65941134, + 706252289, + 43959019, + 160326808, + 763935726, + 537542646, + 455346968, + 461727655, + 184611323, + 527313282, + 396804095, + 738275751, + 847313622, + 948534327, + 470864984, + 25156089, + 81392770, + 819635414, + 433728046, + 144133770, + 920310188, + 738824642, + 866233095, + 921653029, + 901746821, + 976566935, + 563071924, + 120697329, + 583292608, + 933985142, + 142641853, + 707653767, + 489574686, + 915653857, + 543162187, + 617929391, + 839854517, + 973096839, + 901497380, + 741758313, + 477510583, + 915075561, + 997372955, + 508054407, + 841129465, + 630539801, + 314899931, + 561387300, + 265990603, + 14274272, + 157883278, + 364268551, + 261234686, + 394755980, + 541905605, + 389962084, + 742985486, + 355539146, + 636431347, + 673422000, + 192057606, + 985241812, + 831606645, + 323375306, + 268007203, + 905243081, + 52617681, + 573858557, + 752330170, + 657868708, + 293933037, + 223594690, + 490177861, + 612473742, + 148821926, + 58392760, + 825680570, + 175510101, + 519072272, + 904529413, + 523252638, + 622737136, + 33796199, + 981217879, + 331716646, + 370274270, + 125522874, + 297759193, + 900818297, + 188037002, + 431699080, + 843119457, + 541810826, + 270548794, + 973680675, + 96626912, + 56282126, + 381033187, + 725758999, + 511556944, + 444079168, + 778786714, + 497731571, + 666381886, + 115999073, + 687550808, + 425091007, + 38990048, + 459250090, + 113048245, + 305012308, + 470004084, + 544426322, + 521937044, + 626223896, + 339654645, + 35654721, + 669625512, + 679733418, + 512857064, + 599635822, + 774362890, + 747016601, + 939787033, + 304356189, + 61159262, + 205499617, + 42001673, + 360718450, + 719619452, + 281089549, + 911484458, + 533004272, + 72386455, + 178136088, + 642393312, + 681808155, + 723069963, + 887977296, + 163133222, + 380089394, + 148275063, + 877008944, + 824766232, + 714021273, + 516302020, + 793928247, + 481327365, + 334567959, + 423445627, + 806623044, + 953655596, + 14065101, + 371252093, + 386139764, + 898270893, + 517755493, + 249149395, + 655755150, + 519952720, + 491777117, + 796647443, + 404478568, + 851005565, + 349242215, + 973522156, + 699618675, + 164158207, + 134038287, + 686754625, + 562714158, + 79731415, + 460347518, + 534499456, + 743767373, + 774702764, + 295045999, + 455165743, + 99120201, + 344979336, + 944351340, + 121307847, + 700239121, + 371106627, + 802510563, + 850749961, + 214288743, + 160938373, + 861653320, + 451705561, + 947571976, + 220909594, + 425801429, + 747743094, + 72356034, + 265926179, + 19199909, + 275908414, + 749001187, + 967114232, + 661614699, + 334248838, + 600158563, + 326656177, + 967108898, + 344242533, + 289540119, + 902119423, + 288790031, + 726253927, + 783854038, + 397864115, + 334226459, + 611851006, + 410117386, + 73297332, + 652302941, + 978439712, + 899070495, + 143873593, + 916563119, + 912036141, + 551666623, + 23809432, + 49873486, + 322957604, + 447387940, + 968328567, + 693172442, + 710939025, + 59387796, + 406074838, + 574527647, + 649444778, + 967610412, + 387340105, + 265175917, + 558285840, + 358861257, + 689552937, + 635803044, + 348262385, + 180328739, + 946917215, + 786487668, + 582308299, + 633229103, + 214061194, + 155209472, + 381314344, + 673018610, + 967006291, + 963991669, + 759351162, + 663025199, + 672682769, + 527509032, + 603306862, + 159648545, + 404879826, + 815401195, + 698039461, + 439353284, + 667496857, + 59980597, + 934601845, + 647355926, + 194635046, + 520329193, + 234858707, + 696394106, + 447099840, + 236084788, + 741940097, + 66071739, + 333905813, + 311346847, + 644537586, + 497092124, + 347530796, + 546018082, + 798852350, + 573216603, + 726528025, + 176023366, + 404222370, + 602390702, + 819439551, + 912128174, + 266327760, + 845241323, + 591440729, + 452414445, + 729829912, + 265636544, + 966213428, + 675912053, + 44336523, + 764380926, + 634801842, + 321842824, + 25799519, + 732972498, + 463836137, + 802604609, + 645393705, + 622224703, + 50769918, + 978921986, + 952469435, + 144685679, + 639931826, + 363846651, + 238431255, + 251477467, + 800311621, + 354068641, + 563795406, + 766744495, + 786539066, + 759229923, + 862359618, + 937907376, + 846531304, + 281321793, + 158533597, + 641852703, + 956115567, + 180758139, + 370286763, + 641534736, + 330244002, + 364769202, + 189250198, + 344523794, + 50425702, + 888177386, + 4144815, + 39263721, + 767176840, + 65062159, + 448424742, + 816460173, + 371906214, + 672564225, + 491452664, + 583906590, + 742790472, + 317756115, + 959378306, + 687183102, + 93799278, + 712677415, + 47230610, + 870730357, + 641841558, + 985181744, + 207766310, + 473377581, + 953867832, + 873534481, + 424054657, + 218357420, + 489960398, + 46376143, + 656381227, + 491006218, + 940258407, + 882218991, + 639613783, + 806211473, + 11272344, + 511214862, + 719160497, + 122553512, + 343684464, + 229783308, + 245131914, + 922431825, + 456315985, + 931899094, + 987633945, + 21981495, + 296999037, + 226376658, + 574518781, + 678681355, + 949456264, + 111447694, + 37810589, + 773801808, + 371488005, + 663554740, + 198082193, + 201913472, + 853177769, + 526291953, + 471622984, + 568351086, + 114604701, + 990067011, + 957948439, + 185602036, + 285814266, + 380477347, + 450486296, + 357716969, + 770704096, + 527524998, + 272263555, + 192386529, + 668941030, + 582376850, + 807533510, + 232698175, + 208225109, + 528093328, + 380327528, + 875957400, + 856721425, + 567320092, + 140167172, + 111312331, + 882274370, + 325844268, + 417562397, + 691817927, + 589295667, + 704660467, + 692990959, + 847093212, + 382085392, + 133209757, + 974308956, + 515651534, + 53452380, + 782181343, + 651130190, + 481400685, + 457202460, + 57774375, + 200795668, + 205520849, + 401002981, + 135119115, + 423036096, + 392371803, + 745604673, + 178348777, + 965654400, + 471250961, + 705076072, + 226545755, + 131675127, + 89118592, + 561530346, + 111420977, + 788480146, + 360600984, + 880526132, + 116720867, + 924356194, + 852977914, + 520401761, + 29987231, + 654613487, + 85333479, + 689407513, + 848048785, + 495212763, + 47112295, + 764244987, + 800364611, + 204057160, + 715329745, + 981606051, + 708777512, + 961194380, + 781562061, + 840221360, + 349290197, + 893482026, + 278177817, + 511770756, + 239578576, + 460817467, + 295023894, + 90130210, + 734325785, + 738261950, + 484410745, + 591139251, + 207429271, + 529137997, + 33379445, + 696281680, + 834729647, + 393927454, + 366366315, + 417485863, + 454455727, + 926928521, + 337967342, + 733596178, + 646060709, + 121941044, + 891438943, + 162957710, + 769451022, + 21714015, + 463324960, + 778643247, + 694601077, + 517434273, + 753491974, + 440368241, + 291097727, + 754324982, + 932644380, + 945720753, + 504573513, + 413019921, + 490841710, + 721854867, + 857985960, + 439408572, + 706554284, + 56874718, + 784163326, + 709811136, + 502901492, + 322414340, + 589037580, + 220077169, + 770378102, + 339387201, + 151258623, + 489906356, + 674983662, + 53785518, + 687724056, + 139509225, + 694509727, + 573036610, + 878352757, + 745423666, + 484011725, + 543265643, + 639858284, + 973594854, + 950219043, + 649109976, + 505333301, + 303045276, + 369846903, + 490593262, + 338808024, + 606841703, + 576000177, + 507407788, + 863577833, + 594235814, + 883340541, + 397357863, + 665045157, + 679057623, + 967068678, + 153176947, + 851949599, + 674683131, + 70063117, + 633892267, + 182222343, + 380971579, + 700754812, + 595637943, + 643172489, + 618581184, + 952496533, + 24414398, + 329468785, + 180998970, + 217466443, + 620173167, + 541787068, + 972237781, + 358904055, + 527053260, + 999067793, + 503568617, + 998601816, + 763802925, + 386345379, + 578974443, + 933429597, + 936742647, + 79354351, + 281460937, + 769146704, + 875531807, + 309444046, + 420210685, + 761813642, + 787037967, + 79337549, + 420222635, + 827083818, + 645862952, + 529851802, + 916278843, + 423443727, + 864250716, + 241841336, + 361692275, + 499590268, + 547507923, + 980789910, + 218142558, + 506880171, + 638398651, + 956614798, + 317298138, + 264511288, + 624520946, + 355301476, + 427990870, + 213492919, + 407596281, + 588052435, + 511812170, + 733017120, + 731074092, + 612809753, + 163406548, + 287945191, + 914645414, + 233439113, + 733240348, + 317366568, + 690817672, + 434229962, + 784851770, + 488158715, + 329812462, + 816034479, + 235464015, + 480986860, + 746730495, + 326587445, + 407587130, + 868241354, + 999681351, + 59638102, + 195814973, + 634363797, + 574665349, + 166091056, + 825221483, + 78310006, + 183126816, + 476745249, + 245740804, + 139233000, + 522295560, + 711498495, + 333215572, + 341769974, + 438648640, + 373376152, + 412650513, + 756060417, + 857613200, + 846701223, + 525834583, + 461505844, + 595856986, + 801443328, + 309951105, + 434397408, + 623691225, + 349592507, + 566475983, + 795818425, + 402118701, + 5657466, + 67644717, + 158688772, + 22887247, + 508006197, + 528712867, + 224941202, + 719170196, + 271700379, + 622258884, + 363608887, + 525161922, + 852193174, + 668876605, + 902115121, + 805295698, + 55310320, + 729060417, + 788740098, + 502207389, + 750893446, + 856809665, + 706138306, + 662478671, + 306177051, + 640975971, + 249335681, + 854040659, + 829705226, + 808892414, + 922183589, + 295534604, + 619568649, + 854450401, + 42383252, + 94691042, + 800708868, + 64452472, + 453991593, + 698668561, + 445605713, + 952640987, + 331161356, + 911367067, + 384077272, + 618919896, + 160460273, + 466688497, + 414351918, + 277457416, + 691655079, + 19749544, + 514923249, + 853022799, + 28421378, + 743744211, + 216746387, + 530455579, + 604647888, + 968230516, + 812059746, + 280398541, + 450326125, + 997515625, + 38187680, + 860075686, + 798490237, + 573855826, + 909004489, + 795965017, + 92672900, + 748059561, + 809609676, + 48689739, + 672524606, + 564119980, + 108453996, + 418006412, + 450724276, + 40330154, + 436501271, + 389000967, + 373478579, + 88841076, + 755739607, + 819459288, + 902913483, + 113373395, + 662459604, + 915574506, + 75507248, + 292384579, + 283376087, + 757651446, + 753681131, + 618874345, + 486788659, + 39565227, + 88489282, + 897496655, + 790011166, + 163342846, + 136085384, + 703279666, + 203958469, + 447381723, + 492508228, + 57926236, + 821403679, + 691171615, + 616700588, + 968656521, + 982016538, + 376723780, + 847043599, + 664005239, + 192635347, + 52776465, + 247493059, + 665903753, + 742931430, + 943059412, + 670712571, + 13598144, + 8217306, + 227917131, + 65604644, + 31374687, + 881574637, + 285048735, + 974393217, + 343714759, + 775028978, + 527276896, + 193962226, + 256040320, + 199187634, + 829899111, + 475820546, + 862592353, + 301449265, + 833950401, + 199710728, + 746116482, + 446113244, + 162017984, + 129615795, + 933751984, + 11710373, + 62765247, + 268679094, + 99536874, + 795865484, + 136888643, + 947914449, + 972727350, + 860211856, + 552368746, + 768734683, + 729557231, + 72064449, + 375163558, + 147095859, + 487777602, + 881870701, + 125409092, + 867021157, + 280637408, + 253432639, + 459285908, + 745774645, + 39716963, + 535710978, + 7209648, + 289269703, + 558376831, + 16106495, + 272494196, + 944920830, + 803985197, + 101507307, + 889720027, + 944197228, + 315528280, + 317487307, + 419584353, + 280993115, + 432280189, + 873545048, + 329153215, + 962173490, + 48841565, + 495571623, + 378990849, + 994341021, + 660783344, + 214313849, + 234571679, + 362441526, + 110995240, + 477512643, + 738083018, + 357572846, + 294262074, + 718797708, + 182209179, + 689358608, + 551662994, + 571938960, + 190652147, + 545316838, + 490025218, + 462350500, + 101468617, + 676340777, + 726179527, + 607502904, + 844000668, + 298965525, + 590469843, + 226155806, + 116953820, + 116998942, + 104122097, + 104487899, + 65426904, + 443051248, + 92003332, + 68858403, + 433582222, + 810854467, + 50686718, + 571737246, + 721249322, + 921239269, + 596430550, + 476056155, + 982860858, + 613212695, + 529134997, + 505772630, + 207285061, + 862842968, + 486152896, + 511646494, + 738739230, + 13285452, + 871331129, + 935574581, + 804310633, + 446656762, + 328134742, + 299952704, + 186526901, + 348194917, + 133185747, + 923294750, + 701943823, + 855577123, + 926918506, + 296065438, + 413810540, + 156194099, + 200004471, + 803620627, + 866255008, + 808726777, + 415956949, + 35572301, + 68781066, + 985957330, + 571580939, + 225161957, + 925637195, + 418495702, + 390877191, + 573315063, + 42792955, + 19345702, + 166663377, + 201138625, + 899595907, + 102406553, + 944624200, + 165121507, + 180230275, + 768230028, + 422667792, + 408083076, + 266942880, + 746436764, + 335205169, + 620804698, + 376732397, + 707132576, + 605264459, + 160915341, + 364004752, + 13413279, + 863501822, + 84906095, + 803838719, + 488749085, + 208406273, + 323722456, + 788741897, + 878438642, + 967153257, + 194837067, + 526427675, + 314262130, + 870756031, + 512407368, + 902616892, + 210378769, + 54341349, + 978695069, + 409673816, + 551287398, + 165554073, + 114728939, + 645923842, + 577877974, + 349378738, + 73432834, + 687380456, + 849503538, + 553137830, + 826515250, + 904517968, + 364518623, + 550871816, + 323363347, + 41835029, + 86624316, + 576608778, + 79071063, + 382485476, + 326977285, + 187447063, + 832459670, + 460361731, + 426489102, + 825638219, + 986860155, + 907450625, + 275778231, + 861849673, + 482280182, + 614614761, + 812157048, + 410286797, + 60533055, + 391276014, + 50248856, + 317996432, + 687132674, + 748915709, + 627169549, + 83896975, + 673067725, + 517702363, + 515333953, + 3415098, + 342455338, + 721668145, + 799350668, + 291778073, + 380846052, + 850879184, + 984229944, + 39158197, + 664439624, + 738520892, + 487095366, + 972832628, + 838126220, + 939605256, + 963566373, + 503360784, + 350618864, + 526543544, + 14644830, + 776405763, + 756090577, + 5621829, + 240332637, + 463377888, + 689375299, + 20990444, + 100466109, + 693520768, + 233823440, + 769739277, + 629215634, + 333669999, + 320390374, + 175653607, + 756667350, + 31753226, + 181549233, + 884441976, + 892331084, + 204481552, + 830191988, + 518607254, + 120525434, + 166385263, + 544085312, + 305125716, + 679323232, + 537378885, + 349752565, + 560535169, + 988846448, + 313857752, + 198846908, + 346387960, + 814657444, + 773440278, + 562432389, + 212772637, + 825787427, + 979233845, + 154018625, + 744934448, + 341697190, + 481708096, + 339513709, + 504359540, + 954733057, + 605941971, + 305727819, + 141315095, + 528589138, + 594146400, + 481660900, + 844303256, + 876098588, + 263045463, + 622580836, + 987543881, + 835027350, + 439265193, + 964311387, + 325700901, + 338165073, + 350682937, + 444994187, + 71526298, + 74838903, + 72988556, + 258285919, + 106695270, + 541692490, + 584706032, + 430460632, + 133375097, + 92132590, + 60740798, + 699253824, + 665384925, + 231639982, + 476571547, + 928210072, + 283428460, + 519482620, + 858548699, + 687776, + 629706538, + 54539233, + 698310010, + 638417603, + 351626256, + 142324083, + 306555781, + 448066908, + 14419330, + 465119255, + 955939266, + 668222500, + 939209854, + 416698882, + 451295375, + 795513769, + 242017417, + 84828103, + 250275598, + 269514339, + 55045455, + 162050485, + 432149934, + 821864212, + 290597998, + 694870012, + 700735484, + 377198510, + 204538040, + 167977427, + 982743118, + 578243366, + 692949521, + 590881254, + 97386928, + 121343798, + 591459487, + 579025782, + 947828893, + 624926048, + 584766018, + 191554785, + 777216386, + 980056986, + 245863015, + 241656510, + 429601207, + 500903056, + 145652227, + 162526691, + 617892768, + 211960034, + 129168150, + 52231692, + 901978433, + 584987032, + 127825300, + 434285309, + 755788407, + 158430426, + 567944956, + 192855315, + 309858535, + 94046680, + 492074159, + 308580880, + 104962590, + 974216651, + 510491431, + 693235649, + 35921107, + 851661572, + 450609080, + 423366133, + 193784020, + 118949063, + 427497670, + 572715320, + 358553594, + 539060928, + 508342549, + 653903459, + 867209718, + 100012091, + 172873070, + 87436492, + 641043785, + 885700856, + 144077930, + 713416564, + 291638948, + 263671285, + 104814716, + 645267868, + 31623645, + 618227076, + 285614954, + 445305784, + 345112342, + 425302521, + 315253993, + 367560504, + 616391687, + 93385879, + 18106302, + 579863032, + 76923769, + 908311834, + 932592222, + 367916585, + 590030877, + 889689025, + 51649381, + 890262591, + 307802705, + 803776177, + 396774968, + 932914272, + 308475537, + 577215575, + 937132313, + 893282439, + 991031329, + 806264143, + 295042344, + 540523909, + 99881343, + 434583570, + 948086478, + 570448833, + 831704018, + 97330343, + 701001346, + 765686930, + 557016004, + 3276074, + 112436319, + 314572622, + 303484619, + 792991341, + 209755836, + 650199331, + 475490512, + 423327307, + 935879083, + 241887104, + 164765541, + 814076486, + 789699463, + 66928152, + 860872568, + 849063055, + 569772716, + 669157053, + 574060129, + 144219531, + 687913062, + 716246678, + 404115736, + 470215592, + 298862383, + 657194579, + 627492385, + 302717903, + 997852738, + 39535240, + 303368956, + 8476049, + 115773266, + 509007738, + 545538945, + 258792745, + 183993183, + 26841641, + 70266556, + 387283134, + 105600046, + 812107995, + 201892616, + 975675352, + 431857244, + 615363017, + 676548161, + 289592291, + 291982496, + 358763158, + 983083883, + 591835330, + 362386750, + 692005681, + 195764808, + 489456007, + 138363188, + 855406699, + 639455966, + 421268944, + 673739089, + 191376074, + 821171149, + 536994162, + 27242880, + 290648097, + 399148814, + 288148654, + 949401053, + 560752144, + 467367408, + 854556514, + 898984771, + 150141309, + 62663322, + 627124092, + 831073106, + 173522410, + 604073329, + 660919046, + 713083857, + 962228989, + 768885864, + 596689567, + 84491191, + 841034162, + 484861819, + 543104168, + 144159786, + 717826243, + 463710954, + 946455624, + 770882640, + 513425276, + 814912788, + 428817912, + 67333524, + 125460719, + 823251164, + 668467137, + 711556055, + 122743415, + 719560407, + 660337464, + 668446244, + 558120018, + 643249869, + 784961237, + 961153503, + 414920490, + 815917631, + 381176201, + 22002379, + 177624486, + 328090936, + 755290535, + 493853820, + 296607680, + 852855650, + 181141453, + 257171346, + 123083607, + 950154918, + 733558557, + 315859492, + 191731695, + 713104267, + 581517878, + 588763379, + 407710247, + 771345120, + 800307399, + 737244346, + 605976130, + 789853668, + 540427777, + 350566360, + 198288959, + 167438958, + 152433315, + 343397166, + 452360979, + 275421035, + 988075415, + 376048232, + 14553453, + 360339468, + 11599522, + 188918343, + 863546404, + 723423076, + 827012152, + 885774126, + 798920062, + 739356455, + 368573783, + 181945884, + 429724467, + 535135683, + 702200116, + 934603456, + 718147890, + 480908518, + 963600778, + 636873648, + 432387080, + 965122543, + 479118773, + 543707694, + 879506194, + 529734768, + 182870164, + 981558962, + 974716137, + 513145214, + 473918010, + 377908440, + 784216833, + 276285981, + 639075369, + 530006545, + 529408522, + 310934743, + 651213133, + 674572005, + 14972950, + 489647254, + 993577943, + 816174305, + 577837752, + 647243740, + 901596664, + 337821325, + 907284103, + 476727089, + 121267579, + 542318914, + 64674771, + 844361878, + 678625640, + 900760316, + 777645772, + 107081946, + 214912322, + 190333680, + 151576365, + 433841038, + 41852337, + 527356397, + 451020079, + 298449236, + 986508754, + 244350520, + 75965330, + 370610805, + 340298059, + 804157386, + 747113251, + 420571981, + 766048584, + 335922955, + 586493714, + 467765347, + 209914802, + 992643952, + 194336239, + 989062843, + 151540952, + 703374264, + 33436243, + 998645728, + 933472618, + 204181077, + 203294559, + 958243292, + 158454184, + 112704627, + 162360865, + 144858168, + 11219716, + 611733797, + 360812352, + 638695871, + 748344527, + 176606185, + 127995846, + 711644136, + 970790848, + 880290, + 520737080, + 14802214, + 328958747, + 317367000, + 976199007, + 439308538, + 257083836, + 571073631, + 170563752, + 220696746, + 401872378, + 155183129, + 619948406, + 949869706, + 309690127, + 904243040, + 786730226, + 119581966, + 632592864, + 455622088, + 619701081, + 82270130, + 3403280, + 635503783, + 695987152, + 502835031, + 343255074, + 172864627, + 436044040, + 825329721, + 211093919, + 471177523, + 747749888, + 43211207, + 582010423, + 188938312, + 989339017, + 780204515, + 940256803, + 113212106, + 249278578, + 281939580, + 937152915, + 105203407, + 629106519, + 281828653, + 857852801, + 199326797, + 412402076, + 319816897, + 719987646, + 916952792, + 911515639, + 896648127, + 496630128, + 428814725, + 100043089, + 287543423, + 84224179, + 73277487, + 997407970, + 658750817, + 701808187, + 61274987, + 223061343, + 290857724, + 682073121, + 159830738, + 724225067, + 923392344, + 920112685, + 749788284, + 999517624, + 573337638, + 555615988, + 712072226, + 710351580, + 160292078, + 459349735, + 970161399, + 207647289, + 852648271, + 133769707, + 691813122, + 324791152, + 805394002, + 267730315, + 690013652, + 341296316, + 848022938, + 122496863, + 622921341, + 618838133, + 601809359, + 479002298, + 17629014, + 687212373, + 589217013, + 68734406, + 211169552, + 461442185, + 756252882, + 585311497, + 205932086, + 222191955, + 366310258, + 766315767, + 989212677, + 184949386, + 492117076, + 185891713, + 589520010, + 573318345, + 347130224, + 982181496, + 430127483, + 303605556, + 727280725, + 327531525, + 151309364, + 916418990, + 32127305, + 373239495, + 938005147, + 914548942, + 293633809, + 96855583, + 738178797, + 646612965, + 970662166, + 929587951, + 560945317, + 745776108, + 507395116, + 105364299, + 350333938, + 163874432, + 309695545, + 687991734, + 164221759, + 50418195, + 609248183, + 970856871, + 624766204, + 592256165, + 775567664, + 245029287, + 775941178, + 713743658, + 20985339, + 984884495, + 678143259, + 960151501, + 828387416, + 667591587, + 671791532, + 227746225, + 664660056, + 264242677, + 940783206, + 985582228, + 187415692, + 381627586, + 969654789, + 903657937, + 154869844, + 775802543, + 774696001, + 895525340, + 775961002, + 731481897, + 791440612, + 199304961, + 858544212, + 928098004, + 742330249, + 620297642, + 394661439, + 226765385, + 365488298, + 519039365, + 71650774, + 611817535, + 36919638, + 155336296, + 292583160, + 943150044, + 608100326, + 984552676, + 125428844, + 637362066, + 639605163, + 609464468, + 561583133, + 870501455, + 8054203, + 892852442, + 654428045, + 880482, + 814614041, + 359769163, + 367229115, + 607298987, + 156801509, + 387937093, + 979171469, + 812966511, + 49777957, + 406581355, + 673560235, + 455355089, + 710883921, + 796325574, + 588101685, + 701954394, + 621205082, + 527526420, + 762320782, + 420756512, + 848809205, + 968800016, + 972278784, + 979670915, + 674277165, + 743415345, + 34180043, + 446249159, + 593909056, + 229651433, + 671008697, + 233820763, + 797634701, + 733622626, + 298341290, + 971151496, + 656921347, + 549064750, + 415738707, + 399261211, + 8715673, + 91546605, + 787853477, + 465999631, + 618626307, + 79701527, + 869266430, + 117548369, + 82831802, + 965172263, + 224277235, + 35770553, + 696353095, + 972276108, + 175553069, + 882318924, + 444598737, + 531813455, + 268980197, + 192951565, + 239993441, + 634087129, + 751689896, + 822473190, + 489395906, + 722741069, + 63252259, + 753726456, + 438893336, + 914587427, + 578225212, + 194920978, + 289058669, + 267151437, + 228556647, + 904249191, + 771636604, + 387686416, + 729470508, + 378916561, + 930707196, + 443823180, + 574973802, + 714346625, + 277537854, + 300180056, + 656705636, + 730862008, + 125853451, + 588095764, + 920119971, + 484214781, + 811910574, + 757282318, + 787335449, + 985225903, + 529899016, + 993271311, + 969842032, + 390910994, + 148976571, + 385906962, + 839649736, + 790809346, + 341607322, + 293005025, + 415151521, + 776289020, + 919275485, + 537902612, + 240911117, + 262995596, + 67480147, + 985555335, + 921214980, + 268958446, + 546352035, + 50820626, + 162413440, + 89149474, + 795729405, + 703625104, + 735075479, + 42047801, + 715615895, + 517798495, + 41231495, + 509001569, + 103025441, + 170065624, + 792095650, + 551001852, + 884400366, + 871421926, + 244738280, + 904986275, + 657130700, + 74755928, + 844038355, + 473077699, + 587607565, + 63658005, + 567557782, + 561655606, + 232421260, + 783645792, + 818042541, + 47841624, + 890494230, + 213533201, + 337091468, + 620507479, + 288253178, + 484862019, + 929066068, + 801406447, + 965656822, + 334810684, + 411075839, + 995739987, + 745368892, + 143264184, + 200007309, + 815246710, + 283080260, + 78565033, + 520098573, + 512423934, + 804698036, + 251324438, + 397505231, + 62007505, + 161309578, + 529067927, + 982737111, + 63413751, + 632695702, + 170242015, + 263419908, + 512021064, + 525530786, + 82570014, + 858295157, + 884883541, + 539114298, + 196681928, + 406743233, + 66964976, + 667592480, + 78660121, + 917946661, + 296628182, + 989193271, + 667325549, + 463148849, + 820632014, + 873549891, + 485837326, + 697864224, + 584087944, + 895853629, + 423008773, + 668495721, + 621720503, + 170232037, + 280788912, + 484298334, + 192723152, + 20640839, + 778015589, + 786642863, + 912874145, + 753823122, + 938234615, + 307523470, + 430084898, + 394383456, + 501743941, + 126757665, + 815064833, + 998285807, + 699446347, + 295454762, + 823848881, + 119352567, + 895070361, + 451833165, + 110604359, + 883757456, + 165432111, + 982718510, + 677479740, + 162447568, + 566551955, + 512152210, + 937615536, + 768850697, + 562083818, + 64865331, + 738910941, + 989247257, + 308200587, + 635692634, + 35672539, + 979966732, + 582697918, + 224828336, + 858634417, + 329602688, + 953250619, + 172662899, + 427374187, + 594415152, + 746527781, + 616704998, + 753455480, + 526309979, + 361685041, + 998927585, + 305315492, + 295049433, + 374913294, + 391371245, + 371871074, + 91709520, + 411272772, + 591255394, + 573129020, + 174085894, + 587765856, + 738877600, + 217747592, + 249633190, + 772814249, + 777933029, + 188828614, + 287932191, + 794337982, + 239683449, + 22106593, + 465274385, + 928336546, + 159126827, + 465148166, + 132336925, + 810993250, + 515187143, + 175367011, + 279204864, + 922245546, + 585442406, + 456983930, + 682814062, + 688763681, + 923038350, + 126592455, + 403103929, + 673879706, + 421360996, + 738083155, + 808654652, + 111173035, + 804050219, + 351710327, + 6650114, + 772483288, + 791627820, + 619800876, + 846962011, + 988422880, + 691147461, + 897305234, + 475188837, + 222690495, + 587506865, + 182226103, + 438517990, + 744158205, + 725436137, + 643978441, + 22462736, + 349297234, + 716989413, + 936028930, + 293225798, + 619035848, + 486470501, + 265054812, + 722400087, + 719657702, + 561243826, + 632890028, + 728482494, + 592614527, + 694838744, + 241795547, + 287453287, + 467956706, + 147266668, + 51606369, + 467762157, + 192100089, + 397457409, + 89383013, + 952264019, + 505825508, + 512787132, + 486925989, + 11852191, + 881322981, + 996616140, + 642498995, + 367283192, + 378309710, + 493000337, + 833416308, + 132176480, + 96347124, + 907140763, + 630373160, + 583438791, + 933937365, + 134459317, + 756083569, + 69682323, + 435409358, + 952622876, + 584798221, + 264929198, + 741529253, + 844639525, + 803511406, + 76562215, + 674561633, + 932016794, + 653867987, + 978027719, + 617395733, + 182770712, + 648063459, + 68716849, + 163962141, + 839387089, + 41717636, + 983099574, + 339512166, + 675718378, + 46239149, + 833945047, + 939936995, + 103188854, + 911034054, + 848277452, + 756367677, + 881883725, + 291958951, + 185515072, + 465508298, + 565809603, + 641193509, + 669251157, + 831093785, + 472395653, + 578964166, + 87245804, + 599435128, + 87892882, + 822648652, + 747048899, + 752906253, + 844680639, + 662005529, + 280932634, + 31656978, + 669401540, + 111504030, + 730232174, + 849340436, + 415840331, + 312066634, + 539415368, + 291117172, + 185601161, + 640370494, + 820077441, + 297799327, + 766896620, + 991611185, + 791067222, + 750287474, + 365817783, + 93366515, + 611800072, + 327972303, + 565936771, + 966230219, + 343149061, + 976195696, + 788067228, + 841363342, + 514724669, + 942722108, + 291822952, + 443683170, + 772729065, + 518308624, + 745407718, + 730814848, + 543236336, + 600934459, + 743334024, + 155310076, + 810000986, + 141915146, + 630946041, + 141910466, + 261910966, + 994225799, + 473130729, + 897894094, + 985107831, + 502557044, + 47889593, + 408780404, + 679172150, + 654046547, + 84834330, + 265388432, + 700570984, + 368269004, + 994268687, + 103496715, + 103752752, + 27765388, + 448521384, + 896917140, + 412648771, + 92830922, + 991836019, + 752765323, + 655219085, + 150841473, + 139142450, + 719633743, + 73663777, + 872140779, + 989060922, + 308246754, + 361163372, + 463375164, + 36869068, + 497734837, + 918279385, + 966663343, + 400190947, + 829939329, + 410325756, + 510042500, + 816360557, + 523865982, + 214201112, + 910712884, + 648528192, + 863623847, + 540470249, + 139764597, + 729108395, + 908335106, + 542500820, + 184858420, + 785178867, + 80774172, + 97988850, + 573527913, + 797247265, + 703891684, + 214613635, + 26241811, + 908422276, + 661895730, + 914490792, + 764149451, + 205072192, + 163364341, + 480401747, + 742605543, + 456630320, + 864675966, + 262035135, + 339874929, + 152105747, + 679792434, + 879308424, + 867832566, + 833346862, + 43680313, + 211813497, + 535855142, + 665541460, + 202750346, + 570077765, + 529209562, + 646493598, + 180016312, + 81332123, + 822339905, + 66386160, + 630457309, + 522863168, + 989217971, + 690480371, + 138613851, + 963392165, + 745645412, + 122026458, + 907883042, + 130643538, + 678539411, + 907734277, + 828140541, + 150614908, + 917722135, + 927284102, + 216160246, + 911765241, + 938623977, + 557007236, + 680246392, + 465121822, + 984379431, + 826163238, + 651398034, + 828057408, + 137533965, + 867141882, + 234458103, + 585292046, + 297811700, + 553205963, + 943740380, + 66806084, + 795623175, + 783171704, + 658336483, + 825879862, + 885166675, + 107956989, + 853394189, + 672116110, + 310078773, + 148910275, + 472014403, + 125306352, + 847686569, + 165688801, + 814418028, + 363102171, + 923443946, + 565984560, + 841426564, + 75842904, + 910322810, + 172382651, + 645740023, + 702458635, + 913987062, + 308033109, + 955162441, + 347287800, + 498454021, + 331159224, + 492142815, + 727318556, + 198003685, + 52641178, + 631663931, + 339830307, + 321917869, + 135882209, + 525394405, + 889154983, + 165136223, + 518201575, + 395040447, + 792788527, + 989232247, + 110884291, + 360347893, + 305362482, + 400425846, + 462197560, + 475832418, + 618949391, + 420406777, + 171728123, + 514754411, + 565942818, + 252186378, + 864243663, + 739103650, + 668629628, + 884600870, + 756970637, + 44679581, + 489514805, + 741822758, + 274976077, + 562209816, + 843362382, + 939723823, + 440994318, + 127931341, + 87746840, + 862969363, + 615787653, + 186484142, + 597387329, + 848434330, + 803796983, + 975117807, + 802927869, + 180624217, + 894986548, + 605079336, + 955044247, + 816631921, + 216094178, + 729568914, + 939979623, + 137337798, + 8327164, + 462845226, + 727145345, + 709232617, + 297554595, + 459232799, + 346565155, + 316085533, + 322121627, + 76430431, + 808934278, + 143247719, + 241274008, + 299978880, + 778275665, + 342367482, + 976025990, + 530849868, + 421220401, + 847773028, + 885935807, + 578923463, + 936697619, + 185817342, + 418749201, + 119149074, + 229143491, + 975947398, + 819853562, + 770194242, + 745467516, + 854211176, + 137864901, + 828102534, + 921170012, + 823869361, + 348286015, + 159257234, + 991489646, + 17382860, + 785087485, + 101123299, + 727510197, + 366534301, + 124921766, + 598480980, + 334913704, + 501133245, + 600478007, + 763920920, + 428045662, + 474787286, + 383150894, + 181143009, + 788443943, + 46616819, + 883227871, + 853531864, + 114403766, + 920460168, + 313145473, + 938209699, + 838538158, + 460379823, + 829985017, + 70073780, + 290491377, + 774333906, + 274785999, + 943429616, + 574109157, + 755511452, + 901126176, + 137160821, + 686386353, + 938845252, + 883861836, + 15190593, + 473097016, + 301852620, + 570496027, + 570283302, + 187548266, + 460267414, + 29933182, + 647460922, + 28821394, + 360778722, + 819672810, + 543525111, + 910676721, + 443813933, + 642996959, + 204408585, + 886151017, + 41451313, + 324137796, + 231278608, + 876864481, + 624433521, + 66293080, + 80511917, + 566656297, + 839373954, + 954304751, + 671611172, + 549738572, + 360306729, + 540311893, + 639259678, + 592443276, + 788283957, + 814836960, + 725547846, + 765495963, + 975700394, + 596368917, + 43709601, + 124655947, + 801094676, + 682497302, + 35189000, + 11153274, + 296277298, + 918809572, + 257354952, + 381932697, + 299553461, + 672177621, + 808590741, + 937190246, + 335592232, + 270645083, + 135677221, + 489004021, + 820050804, + 65425260, + 118077164, + 159418700, + 768478013, + 342236789, + 309345838, + 596626076, + 874943133, + 882704165, + 670010458, + 182706626, + 480269861, + 850692173, + 818189756, + 23464531, + 854718813, + 460039879, + 412190936, + 472392873, + 972589311, + 444438162, + 500338579, + 476555835, + 238876072, + 425314402, + 207260205, + 643555040, + 108931990, + 216716758, + 452598594, + 570291371, + 508531017, + 642040951, + 888816903, + 523004509, + 315845464, + 864123976, + 18404426, + 946314163, + 510494920, + 526563622, + 202108526, + 655004836, + 660800208, + 848478215, + 64149194, + 309443931, + 316175249, + 551032056, + 916500380, + 101962175, + 905383886, + 118560752, + 781347868, + 369400534, + 68346830, + 70867211, + 611848558, + 880254642, + 345715219, + 586138729, + 85457883, + 613969176, + 790498883, + 335036360, + 6894546, + 797947581, + 862895005, + 787839107, + 630029172, + 567139842, + 905470726, + 437061701, + 909646124, + 210948163, + 114490249, + 366494921, + 540051544, + 806886078, + 295369099, + 587591573, + 558260585, + 290444833, + 327926970, + 298281030, + 765906211, + 133916402, + 549275314, + 589341553, + 480875174, + 577625053, + 819726796, + 328500754, + 572321177, + 813895947, + 634094376, + 334198472, + 238715780, + 648165722, + 33906048, + 82458079, + 528591457, + 243025744, + 378317845, + 727577661, + 784612248, + 382577287, + 139804178, + 537823007, + 967535759, + 531561470, + 816356271, + 581404099, + 741464621, + 738854903, + 439811749, + 929351230, + 107845579, + 563369619, + 993449214, + 47159361, + 407789726, + 897746161, + 905484730, + 261319298, + 715053097, + 826649347, + 568668220, + 369457222, + 369041502, + 749481970, + 516683697, + 497557503, + 193437954, + 469248010, + 179977283, + 247560999, + 718390080, + 963495894, + 658361398, + 406108768, + 165275618, + 76532795, + 95818225, + 488993099, + 811242196, + 893982460, + 780534030, + 96141828, + 924561312, + 50242261, + 184739086, + 657603844, + 435428199, + 860409633, + 649213634, + 499563045, + 174033612, + 7491711, + 532074672, + 34702728, + 294100318, + 632856128, + 347794924, + 471411287, + 519734622, + 952060175, + 539637480, + 993612578, + 190406846, + 511177791, + 266897534, + 145766803, + 464885210, + 977827425, + 308566292, + 427600152, + 864260002, + 797683379, + 47502557, + 131529711, + 827229417, + 638380864, + 888400362, + 23274326, + 92603492, + 233692987, + 645392766, + 593117815, + 589699825, + 62808513, + 127038842, + 350541901, + 378046962, + 839506064, + 562431634, + 164922012, + 463419844, + 146937336, + 693654966, + 441833486, + 549814391, + 528404387, + 596257193, + 758688029, + 110896696, + 938456135, + 502428404, + 915075257, + 425620493, + 621462350, + 434334727, + 35243281, + 452168455, + 953120157, + 70923908, + 782120189, + 85535493, + 530186181, + 389098157, + 179344431, + 966997194, + 960601909, + 86333721, + 128574828, + 554147840, + 436754621, + 867951473, + 580201550, + 360255979, + 965468005, + 56218697, + 106116502, + 582437523, + 810060481, + 182639617, + 339844828, + 555211350, + 410092935, + 542665280, + 621154374, + 204120086, + 195324365, + 995572939, + 698813167, + 257638199, + 668651409, + 872047043, + 341256534, + 973473467, + 294804034, + 329037452, + 286860449, + 336962753, + 811468376, + 901581251, + 579255890, + 509230790, + 682270434, + 628468941, + 61495011, + 34050000, + 414428041, + 139160866, + 302785678, + 571825081, + 326321390, + 482212678, + 960348540, + 455190000, + 294418410, + 518297338, + 247697470, + 294206896, + 800896173, + 302677183, + 644100037, + 876875215, + 939844649, + 502495183, + 872841926, + 202083686, + 294313489, + 156807668, + 280513485, + 901244875, + 760909276, + 725124902, + 813314027, + 715850259, + 74006837, + 361972084, + 520609105, + 359820979, + 824493829, + 328445918, + 584177761, + 159012921, + 352305060, + 896478086, + 475633475, + 304493335, + 913758601, + 446117899, + 494945142, + 895343205, + 82516896, + 932260257, + 942105422, + 873611446, + 27524600, + 122670318, + 716760417, + 464187166, + 370268984, + 289931405, + 28756516, + 270174466, + 238387513, + 924938806, + 436744366, + 342135581, + 28879383, + 870907274, + 859641509, + 808715491, + 35106193, + 186153294, + 956784444, + 995914013, + 765569618, + 455772490, + 700143713, + 947208672, + 257265899, + 849701208, + 312566113, + 164205858, + 114091718, + 684997944, + 70533514, + 531028204, + 961136534, + 728970987, + 890206207, + 129293936, + 95389808, + 781693367, + 454883952, + 710223544, + 518373966, + 480229769, + 267240229, + 362614175, + 446299409, + 568065573, + 95346595, + 528178264, + 1291923, + 592009060, + 59179195, + 646051156, + 545331734, + 494673899, + 160274249, + 85498709, + 118240780, + 269871016, + 653903771, + 523622215, + 367531664, + 519416545, + 843364152, + 504638884, + 738526629, + 100695194, + 496826964, + 982089755, + 76340216, + 131973353, + 516274186, + 779337428, + 853143868, + 670032112, + 864305971, + 385364479, + 274930716, + 633947620, + 978104979, + 118922662, + 306332493, + 393807213, + 187636415, + 623213878, + 868468009, + 482143947, + 850367139, + 522853201, + 280284654, + 101634180, + 527120129, + 4549461, + 890272424, + 788562723, + 739735212, + 684611011, + 840079918, + 355588443, + 643719263, + 396745068, + 968265504, + 618285051, + 876135499, + 664300116, + 342449443, + 534301989, + 247963724, + 539371908, + 714530057, + 359688391, + 902594931, + 133325284, + 936223312, + 156802711, + 715059021, + 960178024, + 705084398, + 543084579, + 162965667, + 874072824, + 407978063, + 11561802, + 440682471, + 38812654, + 520388324, + 474048715, + 580286378, + 812139788, + 952532178, + 525550971, + 384931581, + 986271088, + 328380257, + 999738381, + 31005236, + 736671541, + 262278191, + 405540851, + 340696013, + 186731802, + 979158159, + 872088368, + 104964325, + 895153383, + 121269370, + 741922740, + 30597026, + 910799658, + 107817022, + 910408277, + 253615044, + 886396186, + 361283176, + 85763046, + 358306517, + 26758423, + 111886455, + 804527739, + 206840417, + 47770196, + 891751599, + 356871209, + 232121380, + 869919914, + 330066129, + 797259525, + 651693899, + 20283492, + 434294301, + 163018732, + 550870589, + 991826608, + 580703453, + 111792206, + 661498669, + 280981097, + 391178121, + 347293096, + 646933117, + 95999707, + 891715552, + 99417314, + 91837477, + 252989986, + 73453236, + 87943888, + 265557858, + 192235163, + 277336567, + 913082133, + 276450995, + 786058331, + 549033843, + 951395768, + 533513865, + 977038250, + 793918457, + 892952653, + 956854730, + 316873565, + 934824343, + 110076010, + 596612890, + 787477170, + 469830019, + 757773729, + 228202979, + 999674341, + 945847093, + 317083521, + 763054293, + 476843021, + 565136204, + 752725513, + 131442259, + 55841256, + 952791017, + 526120402, + 534963409, + 66968883, + 129812730, + 816463381, + 565316871, + 550258841, + 383980447, + 531404709, + 724180743, + 704521640, + 426794250, + 675820837, + 749213218, + 69224414, + 450245997, + 550091741, + 941610659, + 63283199, + 525332926, + 739961514, + 54033010, + 322675714, + 963285467, + 949633690, + 49849559, + 758504280, + 221457807, + 768055841, + 78952, + 609148656, + 813664607, + 596483587, + 404810798, + 720290289, + 786235618, + 813286999, + 402708411, + 169632774, + 280267258, + 963002291, + 243244597, + 705622014, + 429751051, + 387334942, + 757309543, + 605403867, + 60477197, + 458001665, + 307322027, + 169317163, + 559122424, + 186393211, + 735574934, + 733024988, + 797914662, + 293680054, + 146491107, + 3156954, + 979803348, + 443844508, + 170276183, + 179872928, + 388180496, + 838305013, + 814090296, + 673701302, + 782172380, + 523627105, + 718077964, + 747359532, + 647577715, + 179178052, + 868358682, + 21863375, + 458355337, + 342948189, + 441237832, + 522641077, + 976301435, + 821710967, + 284233557, + 825792020, + 826397844, + 702130772, + 644801759, + 413485033, + 263898504, + 755641895, + 408786017, + 929870018, + 869295526, + 548647377, + 141252014, + 45212434, + 649733110, + 9643896, + 337970446, + 209219154, + 67100797, + 917206877, + 477223611, + 331651686, + 774729915, + 145958493, + 442833209, + 640098219, + 506734095, + 379345531, + 78935328, + 682940272, + 830469704, + 820696369, + 538923430, + 573502341, + 351156261, + 652141593, + 165990857, + 549928150, + 482843596, + 275750927, + 351359463, + 966972212, + 945939711, + 726554882, + 752820529, + 793776758, + 434865670, + 337547563, + 958184665, + 364455570, + 23256196, + 463383230, + 609220234, + 495886183, + 573396425, + 461668855, + 593440880, + 652510688, + 594251265, + 264318456, + 780878971, + 625987392, + 715177281, + 164000967, + 969564025, + 649339803, + 273925492, + 764359901, + 183532143, + 101698513, + 734990030, + 575570737, + 971285903, + 216066517, + 961124793, + 243237637, + 186644931, + 886376324, + 391046321, + 581271089, + 522450345, + 968352867, + 957501179, + 550453339, + 886037438, + 521817146, + 677705816, + 192436438, + 785386488, + 732137319, + 378913442, + 916520908, + 295983308, + 807728818, + 995899585, + 130889560, + 541583091, + 25219977, + 934367369, + 261653931, + 355246489, + 361969281, + 738660955, + 811445277, + 380148554, + 491220723, + 582781742, + 104347943, + 819130118, + 91299224, + 181361348, + 389337060, + 752482331, + 144402387, + 687967566, + 838838892, + 710430613, + 773916894, + 614535992, + 960028876, + 992899086, + 724343501, + 832208894, + 338823417, + 995269928, + 541904159, + 428197668, + 477033774, + 548275635, + 7439478, + 464309657, + 485953955, + 977315311, + 341922314, + 617938889, + 173176336, + 523247851, + 304456520, + 611142784, + 340540475, + 76092957, + 648459887, + 350747816, + 568087380, + 150947528, + 405733, + 736947022, + 959679520, + 26680780, + 659505662, + 694615749, + 22929321, + 836791276, + 157345328, + 692597716, + 243515892, + 778269055, + 770173486, + 518205661, + 442182740, + 110761531, + 428691890, + 699360044, + 177175689, + 360665345, + 417591978, + 913244089, + 479478136, + 432035697, + 454028437, + 789446331, + 516282680, + 837731046, + 455657900, + 806839282, + 735151314, + 57364557, + 872428843, + 778690997, + 899501946, + 557230097, + 744002539, + 5867574, + 250669153, + 456613856, + 6110401, + 581799263, + 905113646, + 213879014, + 843053643, + 651360350, + 574142214, + 862710936, + 860504897, + 194852126, + 311844477, + 587623097, + 463801901, + 95753776, + 989328550, + 435184109, + 149061279, + 107461418, + 792202885, + 927566802, + 271430090, + 874882875, + 45170985, + 73542215, + 600380059, + 362925966, + 989644723, + 291326752, + 720975539, + 555817799, + 847285083, + 648954953, + 476681068, + 50124769, + 240124557, + 431629633, + 140425708, + 66703104, + 314120290, + 870139671, + 420096557, + 610075888, + 834619643, + 736543219, + 737809294, + 779024669, + 85877610, + 880658665, + 737526783, + 8812646, + 782592746, + 906445909, + 997218352, + 760664729, + 560541542, + 300191672, + 852037978, + 943721857, + 463619515, + 940624222, + 811639972, + 595486652, + 820527349, + 759431790, + 890396910, + 162869292, + 62501089, + 248526420, + 199900456, + 865254089, + 812745885, + 207413809, + 618960887, + 814413065, + 241457268, + 662675420, + 629295760, + 933264523, + 567363940, + 924216294, + 848360804, + 634221806, + 956184686, + 421516853, + 232841040, + 706290070, + 66051373, + 961043539, + 950072155, + 915747569, + 670972694, + 91138629, + 190322772, + 893817265, + 178479473, + 649244290, + 140388340, + 350404694, + 288335401, + 661102973, + 670940349, + 854707119, + 568241982, + 246871872, + 286674141, + 839843314, + 652119020, + 764563149, + 927811448, + 15469822, + 204742171, + 474614927, + 682070774, + 84614990, + 80044928, + 104325347, + 24033290, + 783768589, + 174258296, + 444066918, + 960598056, + 57760858, + 702547674, + 256972327, + 666099918, + 824075749, + 4736060, + 134358536, + 284372830, + 159659395, + 582802654, + 647490747, + 462858399, + 35181096, + 502169647, + 932614492, + 888937592, + 494179709, + 230380784, + 37733002, + 745113520, + 664095590, + 451099985, + 843509169, + 120543471, + 458237819, + 448189759, + 911310046, + 794719253, + 424905628, + 827495185, + 996873791, + 890650456, + 789860743, + 111642020, + 555870249, + 919276131, + 22252396, + 512343597, + 421690023, + 375897119, + 828736809, + 566530464, + 202684677, + 88222714, + 250011967, + 391643778, + 991330792, + 41408746, + 305238594, + 150493233, + 247866585, + 673860357, + 79823370, + 245432005, + 881832008, + 850883458, + 830983785, + 850983797, + 57234042, + 297918921, + 44940715, + 252349328, + 945636395, + 827975081, + 763264697, + 776395186, + 385758015, + 272273129, + 39750122, + 303479494, + 552649155, + 809890423, + 363609102, + 618368568, + 35381079, + 44046245, + 12986845, + 954994209, + 763646831, + 257602798, + 259317827, + 350683338, + 640090562, + 136292912, + 192874530, + 920689007, + 21367914, + 453798042, + 493041794, + 386333896, + 291276733, + 526330320, + 357542923, + 169972274, + 620812953, + 746913722, + 91479411, + 266669734, + 673070267, + 572382954, + 541736757, + 28104800, + 557714243, + 352090361, + 944250291, + 352260227, + 528087494, + 963763490, + 78921712, + 820492392, + 42548081, + 801765177, + 47123079, + 595366727, + 410398705, + 945981823, + 205114741, + 55112944, + 877618137, + 817984893, + 461331834, + 523410302, + 993951198, + 116004076, + 653394205, + 816783643, + 362185641, + 889768011, + 331590658, + 542784338, + 532759646, + 323955177, + 501281526, + 902728159, + 51814549, + 90442028, + 214853916, + 473330212, + 225845861, + 920628175, + 848971753, + 602442257, + 908615141, + 498827137, + 235210900, + 833706874, + 192725867, + 26286119, + 866722050, + 500156731, + 311678026, + 223761813, + 471351416, + 400771762, + 12017270, + 973258072, + 327318740, + 426779662, + 659952482, + 103359803, + 792674661, + 600073613, + 862227844, + 820576790, + 126753371, + 885387378, + 122391957, + 269327767, + 136773745, + 160491014, + 298705187, + 299179167, + 120012048, + 931916058, + 20416707, + 579782570, + 656913063, + 91740508, + 622684038, + 702537400, + 703805374, + 210640811, + 322409481, + 295676105, + 678377098, + 362530208, + 592052759, + 662558224, + 80563500, + 436574251, + 611567365, + 162273698, + 539992018, + 210599797, + 496489148, + 830134736, + 949964983, + 420100294, + 680040757, + 150620889, + 398279347, + 370523034, + 48300745, + 426155623, + 424898623, + 89068123, + 756675008, + 16965951, + 930378997, + 285606283, + 921225575, + 718841310, + 661772146, + 921707085, + 976661523, + 534234329, + 149399647, + 656368820, + 423616308, + 274458341, + 197734111, + 570771768, + 963190265, + 69496940, + 745476119, + 909130001, + 666000796, + 804705344, + 287504765, + 503045462, + 338322422, + 121844196, + 726784995, + 138268587, + 700774149, + 758819304, + 105516379, + 816914990, + 974109827, + 898876342, + 630428917, + 764271763, + 716783593, + 969279276, + 708243559, + 651495878, + 518815144, + 299105731, + 802193778, + 441717553, + 38379260, + 583130611, + 340820762, + 509549677, + 936352113, + 522625567, + 89928886, + 596337906, + 938366507, + 463192380, + 437738163, + 621503976, + 664446711, + 252531301, + 130632882, + 383121227, + 709724063, + 194184674, + 850908440, + 309636512, + 801914853, + 737814835, + 574693004, + 730659104, + 200917505, + 562080860, + 500715478, + 967573449, + 845013539, + 672605952, + 510785426, + 652314550, + 683743942, + 830004647, + 524972261, + 856871615, + 504340201, + 63979382, + 233620794, + 430161289, + 94358732, + 459612919, + 383366346, + 394288718, + 495561747, + 772623828, + 805527817, + 758147088, + 567895718, + 634874546, + 982071924, + 641869806, + 623278354, + 617180334, + 52361714, + 126974831, + 196159188, + 669814914, + 333244598, + 771370686, + 177201473, + 336292905, + 561791701, + 831813049, + 63899716, + 859173132, + 213230547, + 148459037, + 380215895, + 703525855, + 249865967, + 259113041, + 289968118, + 90373186, + 438446592, + 657090042, + 670455848, + 246500124, + 445530645, + 844869571, + 733171539, + 307705387, + 220174719, + 335066228, + 370277409, + 289702154, + 729625141, + 17704736, + 661340902, + 695904849, + 557805875, + 157098501, + 884312164, + 341619623, + 371998503, + 613554165, + 384857845, + 287637594, + 659403241, + 74864472, + 577165101, + 565464909, + 327365984, + 339839445, + 610038390, + 143955677, + 90377764, + 644731247, + 364811224, + 943718358, + 235833005, + 118712852, + 243023652, + 410371069, + 635654576, + 358569837, + 943947399, + 214301860, + 57253984, + 34350982, + 777276178, + 386876655, + 849063287, + 923783364, + 270737117, + 915310840, + 58911434, + 475000010, + 644462533, + 892699146, + 508090359, + 896206002, + 713087186, + 13664997, + 725473707, + 50909854, + 436134936, + 117566580, + 197312727, + 178627643, + 393704984, + 134512176, + 961805790, + 867803606, + 702836183, + 801437255, + 989427222, + 875558822, + 534712567, + 253165713, + 207107955, + 880567951, + 44179710, + 72056699, + 964600290, + 522780145, + 420036283, + 890292800, + 595586233, + 750375987, + 288600442, + 284029005, + 493857100, + 605995932, + 654059368, + 297719006, + 374733586, + 187429082, + 760692473, + 712443961, + 176104858, + 202348886, + 32352723, + 134858890, + 906341325, + 930467263, + 411161275, + 10195870, + 775881437, + 566463267, + 361044867, + 425881910, + 988991761, + 287154304, + 819979413, + 582126486, + 316136298, + 137096140, + 936922780, + 218876650, + 109980738, + 985052385, + 607452587, + 734165749, + 752733246, + 398522967, + 786273727, + 69397306, + 72812288, + 895252706, + 515424095, + 882036375, + 573022750, + 334908288, + 75981620, + 628420888, + 248007484, + 7174919, + 867721212, + 514137039, + 155993929, + 971821444, + 396133596, + 123819302, + 163015600, + 990209396, + 323232656, + 982358663, + 685899015, + 895415395, + 197408460, + 414358947, + 169004403, + 34014811, + 462324393, + 599038198, + 890668595, + 367113772, + 974766450, + 568461276, + 796454245, + 586943216, + 367103516, + 626319661, + 614729138, + 147753299, + 238145955, + 889097953, + 854453623, + 778154426, + 786767251, + 773471596, + 551647712, + 141590655, + 159127527, + 60797777, + 37451973, + 192709904, + 573336817, + 589289795, + 706999463, + 106282598, + 706002060, + 91056070, + 901574420, + 568572092, + 601411645, + 837255289, + 90887852, + 177676670, + 526030518, + 73691212, + 751999060, + 48568338, + 420706590, + 212637118, + 805571164, + 897701516, + 830836202, + 469837698, + 425995960, + 782482940, + 645975186, + 651066400, + 161527345, + 500452280, + 951653093, + 940658873, + 415165722, + 817354777, + 224449310, + 808255707, + 593819367, + 443134796, + 742497025, + 410929604, + 376355492, + 75837200, + 555443363, + 540367299, + 977831791, + 526286419, + 334791932, + 556384876, + 27536657, + 92655717, + 657023306, + 252147017, + 740226187, + 514918463, + 816373328, + 839565735, + 784335017, + 172108662, + 136187710, + 517512236, + 435488945, + 694461186, + 958002764, + 244885579, + 435106604, + 935373804, + 881363415, + 559695653, + 470567921, + 81461616, + 798192404, + 546235972, + 315626141, + 21976282, + 691455156, + 486495442, + 942928553, + 310400930, + 5653271, + 844160567, + 488235273, + 733991435, + 821405638, + 956544390, + 385184366, + 100757524, + 319753327, + 469356818, + 313196048, + 302299854, + 350752150, + 90530624, + 896495737, + 150470130, + 282921633, + 712424094, + 27482817, + 651715430, + 747784774, + 898213951, + 107769372, + 768651942, + 867557953, + 514277345, + 913752651, + 625580715, + 221676775, + 358663140, + 842659425, + 135192309, + 764965914, + 145672262, + 521534759, + 602542169, + 356093075, + 730057977, + 803419164, + 417896436, + 199373010, + 477373350, + 826430633, + 756502840, + 250813115, + 290998356, + 5417690, + 565182164, + 604403927, + 868805386, + 199274916, + 181911438, + 820944427, + 162719958, + 848841587, + 561054964, + 24339551, + 290502108, + 297901471, + 481454262, + 45212521, + 825112537, + 593781811, + 523544215, + 142749794, + 552717622, + 256843677, + 621417660, + 557858185, + 890144461, + 659661127, + 125152198, + 542622920, + 255238115, + 681695151, + 481546742, + 616978502, + 453298950, + 946542255, + 107204059, + 356781849, + 855734935, + 959459351, + 514898411, + 862198954, + 871495762, + 84020246, + 359489789, + 484857832, + 608184852, + 692288913, + 89798918, + 377305743, + 339366523, + 330794462, + 318195301, + 849228059, + 674111526, + 211368866, + 232999618, + 834308456, + 455897882, + 597852114, + 128369200, + 164423058, + 597123795, + 392536287, + 257420267, + 989981255, + 976824726, + 16183407, + 779525840, + 33974220, + 533381181, + 630212105, + 678568426, + 535894892, + 555224135, + 426711387, + 702580863, + 976683782, + 96079480, + 806251719, + 102204861, + 266098146, + 430245989, + 617405607, + 862245500, + 84203150, + 547136277, + 965699617, + 219049808, + 121807159, + 648067593, + 386097415, + 601226862, + 368195000, + 358344766, + 437837874, + 921630662, + 796519651, + 205314078, + 353994865, + 222716205, + 219089891, + 109132944, + 922004157, + 454599427, + 357489621, + 130002999, + 896427584, + 714933375, + 56324321, + 400451506, + 909319734, + 290800887, + 431675653, + 638061876, + 57772072, + 533044713, + 55323636, + 842123102, + 352674403, + 430186949, + 21524824, + 890779416, + 401787381, + 606393126, + 823174271, + 557396635, + 61483451, + 411624100, + 954483194, + 576402176, + 912702140, + 734174710, + 987912638, + 214581402, + 758274325, + 45648672, + 74801233, + 412702785, + 663358751, + 251597224, + 426832476, + 798081489, + 33494873, + 576713184, + 172101800, + 164578158, + 563216298, + 571317114, + 961363299, + 430588028, + 318196230, + 683145173, + 129770808, + 295154498, + 87347697, + 244159504, + 812917048, + 342162769, + 429463796, + 358713897, + 181295656, + 921798722, + 450248331, + 995972022, + 141351063, + 340845404, + 280830113, + 584530589, + 330916510, + 718113352, + 929157555, + 181207992, + 122822851, + 47742326, + 77943556, + 387028879, + 373329656, + 517338077, + 537623440, + 511276751, + 117775461, + 337927495, + 78888945, + 215990677, + 99483279, + 883430627, + 158705361, + 740969484, + 327343218, + 877896124, + 799511104, + 862636883, + 595282210, + 110466900, + 626463624, + 512353718, + 195753305, + 712507618, + 996663971, + 646665, + 779508573, + 351728046, + 869447169, + 422052491, + 472707603, + 95228722, + 551605759, + 955939010, + 157730458, + 680206093, + 842654804, + 826393720, + 426408693, + 636308385, + 852033002, + 235678009, + 45259380, + 640687129, + 178637043, + 924014191, + 807625131, + 426712716, + 364753700, + 579809411, + 976138248, + 891657834, + 921137055, + 130576800, + 903123982, + 650036293, + 903507605, + 596068733, + 474865278, + 128516336, + 740309843, + 539757434, + 789005829, + 377587157, + 553317040, + 75112155, + 943968968, + 119479100, + 612475954, + 567897383, + 309050712, + 291973921, + 936845672, + 303959925, + 225565079, + 925005464, + 854528097, + 217689340, + 146877116, + 49442970, + 837847733, + 296987327, + 904147245, + 153062488, + 764010658, + 663692797, + 276196316, + 529240166, + 851548850, + 920497040, + 641526591, + 379624661, + 546003581, + 497634655, + 163689269, + 405279586, + 197584682, + 939204331, + 151720985, + 546256737, + 94413475, + 290585074, + 569424962, + 957028704, + 997568876, + 589983691, + 584105286, + 753127018, + 605533577, + 950445818, + 834572685, + 431675047, + 970478675, + 687746629, + 507327511, + 18452557, + 536366664, + 754118544, + 237267900, + 654978478, + 13838835, + 244578048, + 884471055, + 203015558, + 271372858, + 673543212, + 178286511, + 306572909, + 459538475, + 413204668, + 737958562, + 319967514, + 999021712, + 224650187, + 35003195, + 966571389, + 554005951, + 468429379, + 970960400, + 682156084, + 385474279, + 137372066, + 839092589, + 99126975, + 963018112, + 180957208, + 189900947, + 412274457, + 451783090, + 553975046, + 859524523, + 953896118, + 900143271, + 917848007, + 287532891, + 784289763, + 958363870, + 664608062, + 118374848, + 317152495, + 351740393, + 827395237, + 700792542, + 446907307, + 299723018, + 873437960, + 516131021, + 389614130, + 139563966, + 917804150, + 584804658, + 350889800, + 905482036, + 620458616, + 606657331, + 387729882, + 455721617, + 347835505, + 278313017, + 503979436, + 542061033, + 578298115, + 792304247, + 826786737, + 305332589, + 460929376, + 772739780, + 512281994, + 835407134, + 714460566, + 482462322, + 399422027, + 545359767, + 635674519, + 446355187, + 103492366, + 712428184, + 438804156, + 377829727, + 739177451, + 579704901, + 424833658, + 657598936, + 468121624, + 904967184, + 897201222, + 543927510, + 104846010, + 274867483, + 898591215, + 701316124, + 908544450, + 265598042, + 579787761, + 83830880, + 264355224, + 684501860, + 842775392, + 49687298, + 266313904, + 189295820, + 198074920, + 55458857, + 6166828, + 942787199, + 305152900, + 991057298, + 101575342, + 124518065, + 539838956, + 445099317, + 841519927, + 239838023, + 292987505, + 109134639, + 119754068, + 785504633, + 537394773, + 578215282, + 147109340, + 757602719, + 619200634, + 809601210, + 827890893, + 51736323, + 501706680, + 595433338, + 134448616, + 285542324, + 901582795, + 754597379, + 276323983, + 619176329, + 721710648, + 504217527, + 266140030, + 16219642, + 859286805, + 461379043, + 638570672, + 62008281, + 911107517, + 746820714, + 487309294, + 238770406, + 551908901, + 428615685, + 505179165, + 740402887, + 260325760, + 4877352, + 411197156, + 809923075, + 388666218, + 773837478, + 203595774, + 820423431, + 457272944, + 772466114, + 740451151, + 668119569, + 25373409, + 279327102, + 96221137, + 428085903, + 912487524, + 409737668, + 899156150, + 427904672, + 205607956, + 347231892, + 386910263, + 122340623, + 590439989, + 159304955, + 18744610, + 73338089, + 707797567, + 864713326, + 324832556, + 560795180, + 182649391, + 439546282, + 42394625, + 410453139, + 917138890, + 607680131, + 673929602, + 67925577, + 533824907, + 509102790, + 569032296, + 594789918, + 431282772, + 44344020, + 691479111, + 58460153, + 586039077, + 479700811, + 712635638, + 689588036, + 113918559, + 675107950, + 51799869, + 753040919, + 694994237, + 991209080, + 33182102, + 553269350, + 40698320, + 861019683, + 852150717, + 91594167, + 152068570, + 536288683, + 250048507, + 54206960, + 235010014, + 343087511, + 384029973, + 158841523, + 494901156, + 950570137, + 923302532, + 101245139, + 143960381, + 15598882, + 112151081, + 893401773, + 991374791, + 236611884, + 100734158, + 202215955, + 71701359, + 717220900, + 801273540, + 979771466, + 784826808, + 328632536, + 172008993, + 294232753, + 505571704, + 435447562, + 15281404, + 267032859, + 408068448, + 898827230, + 245671572, + 537192365, + 238789435, + 315841205, + 667589770, + 463592931, + 216399183, + 733480692, + 912573870, + 87494950, + 782895604, + 34782290, + 766088252, + 99884336, + 460698144, + 237957906, + 942535021, + 555331690, + 650077551, + 108163106, + 679307559, + 92197630, + 52939010, + 893334394, + 457047155, + 729106809, + 349333725, + 41666833, + 977942323, + 23281731, + 119624745, + 383948542, + 486852263, + 698308260, + 721857298, + 691205029, + 737609265, + 735298475, + 528914158, + 146590079, + 898229952, + 596721058, + 462583789, + 562755105, + 185938975, + 74974779, + 761024378, + 484938884, + 690029858, + 200583897, + 129536652, + 400412666, + 17548175, + 82962620, + 652453255, + 386510575, + 635018105, + 472983562, + 262607671, + 437670038, + 488834164, + 430202673, + 796709652, + 320756950, + 539353024, + 481616754, + 295149392, + 898001944, + 556781367, + 977038956, + 971204406, + 971819521, + 228156155, + 304984587, + 562772758, + 561751097, + 579030652, + 886333110, + 135960962, + 457818916, + 946067384, + 802217912, + 901775033, + 870436702, + 944755397, + 911497471, + 872006660, + 977849795, + 211853165, + 759389394, + 826362376, + 564702334, + 997346680, + 28091461, + 896490626, + 721637032, + 727686400, + 597596027, + 106575071, + 227353954, + 436807996, + 216883506, + 16602193, + 107594004, + 717085470, + 401943385, + 521045022, + 329755603, + 478400453, + 900777445, + 408567351, + 461645448, + 736741871, + 688094870, + 392445212, + 15818091, + 693485761, + 457199866, + 525852815, + 663446086, + 350230710, + 564614568, + 365258695, + 899570096, + 115268466, + 23373446, + 626889257, + 201029688, + 593809151, + 209296821, + 683546724, + 441806798, + 582735427, + 165503059, + 349432491, + 608113963, + 89155276, + 257223972, + 755937619, + 468146834, + 891130879, + 559848680, + 955256365, + 150212743, + 21154654, + 216393473, + 869870712, + 966971649, + 396036872, + 438882199, + 893253880, + 482080474, + 76599947, + 101981691, + 659819252, + 344288228, + 721577009, + 346141186, + 440718144, + 407091806, + 72045011, + 140794953, + 880697540, + 256101396, + 642662248, + 158194623, + 20612763, + 698149151, + 546523393, + 874622556, + 635222706, + 103282462, + 687419952, + 882110875, + 806343064, + 612266978, + 710727961, + 770874736, + 368495772, + 519432461, + 86654972, + 46785081, + 439118124, + 920832414, + 766086435, + 447461948, + 530187780, + 74909762, + 308043233, + 849135533, + 796908853, + 6323464, + 559074788, + 691184827, + 293058240, + 342539438, + 515392013, + 488280208, + 623640736, + 758577556, + 416272876, + 283474230, + 910095262, + 929491934, + 184520088, + 208161803, + 204629480, + 165987074, + 674268174, + 621189703, + 683606313, + 763604799, + 226362846, + 340851572, + 376571778, + 908678652, + 369595320, + 900325672, + 705661273, + 938912948, + 118356004, + 929837725, + 758953876, + 66278946, + 840143475, + 210952242, + 857135585, + 699442904, + 808165584, + 938504473, + 136747162, + 267249571, + 706924604, + 296687760, + 233265805, + 981964657, + 148543900, + 381375761, + 230715307, + 410841166, + 377216305, + 999789369, + 217273654, + 716495945, + 340219124, + 230141735, + 512629758, + 32357747, + 262593821, + 975059713, + 180030216, + 405249407, + 513771015, + 937175650, + 703168319, + 998890301, + 378410994, + 857719646, + 750016659, + 538146897, + 225215924, + 194754525, + 26258728, + 245447389, + 116796966, + 898987005, + 958010284, + 884606825, + 507535540, + 489999347, + 828935709, + 960147880, + 958648865, + 464544031, + 406621312, + 465527401, + 485198896, + 782633052, + 93087183, + 109289781, + 955500397, + 999755483, + 833005358, + 667716067, + 448922765, + 44764417, + 203607173, + 857845112, + 793446701, + 358337580, + 240182411, + 782819757, + 343979028, + 893708724, + 697901240, + 246029911, + 260383119, + 379189923, + 818384565, + 415951250, + 55403024, + 236642534, + 54823685, + 155390452, + 550484091, + 624952657, + 712330874, + 584798868, + 228583555, + 117443477, + 300636603, + 348890374, + 416788883, + 912690717, + 182564016, + 85290950, + 873050419, + 398819276, + 413087506, + 242535092, + 441270677, + 386370044, + 696486353, + 720359720, + 669547559, + 963768256, + 966240073, + 393329426, + 247596250, + 973814410, + 885969580, + 828819050, + 567825625, + 410886077, + 112813902, + 251799792, + 951988654, + 429995443, + 238623691, + 157714089, + 31447113, + 207379949, + 649002330, + 88228111, + 887378173, + 607379317, + 947511678, + 708498959, + 909253999, + 373000307, + 395690593, + 45845243, + 401259589, + 728897942, + 551430643, + 441158562, + 9200341, + 846711300, + 56291451, + 316791712, + 487255503, + 641642951, + 889293416, + 785675596, + 622042303, + 86822783, + 917440762, + 197325066, + 66827378, + 270834818, + 745991675, + 859533063, + 30763454, + 62095, + 529704270, + 105941722, + 472299220, + 323609475, + 193229246, + 427082773, + 283848347, + 191256301, + 679648175, + 438679558, + 770732853, + 640230364, + 876454231, + 235456366, + 255315707, + 904319221, + 488003281, + 67858703, + 259321435, + 735359273, + 289682554, + 888188298, + 584688986, + 225851567, + 602224235, + 929910643, + 586679626, + 928061902, + 539488199, + 283326031, + 965546997, + 263566560, + 676866109, + 412755728, + 758880039, + 613923282, + 934063939, + 263430447, + 834612593, + 969959186, + 742476002, + 615589416, + 383558844, + 880925460, + 882383516, + 59925124, + 104205219, + 775225428, + 416746997, + 735277108, + 271619777, + 674436142, + 592381611, + 71330641, + 792241845, + 689292205, + 620379965, + 33345764, + 252546858, + 183450512, + 752029187, + 241280944, + 851116215, + 717641063, + 114026138, + 485029718, + 779096649, + 94350877, + 787837955, + 95255325, + 725020300, + 178165834, + 214319446, + 803159344, + 214107983, + 715747044, + 131816814, + 285216684, + 900495267, + 24146378, + 371296669, + 643959343, + 421926689, + 235956539, + 206748906, + 745614880, + 33369137, + 617632536, + 546254540, + 359629228, + 326927098, + 485812582, + 788106513, + 997798432, + 301945763, + 966225600, + 585200655, + 822980154, + 377425965, + 844613217, + 200437936, + 382608522, + 64996884, + 937548873, + 552215435, + 702498824, + 157354919, + 838534248, + 697868072, + 385948967, + 930892893, + 219853330, + 867057840, + 613945514, + 30684315, + 305725687, + 422059725, + 242321075, + 465075024, + 999846841, + 664555292, + 648502311, + 53801982, + 748490547, + 514024335, + 904117450, + 966725932, + 717682132, + 920183672, + 161417118, + 64951783, + 623727051, + 350962176, + 281206876, + 700523985, + 657587940, + 809920521, + 910058814, + 369952417, + 281894198, + 160930676, + 318255747, + 387022658, + 316020674, + 47698111, + 701168524, + 129971438, + 499036590, + 235173190, + 170072747, + 900430765, + 513824524, + 955685567, + 827608323, + 803930273, + 898514272, + 165374691, + 704495323, + 332452861, + 893407664, + 109994983, + 700665836, + 404632990, + 434093997, + 268922436, + 716968998, + 225760907, + 574731298, + 236437720, + 551306349, + 333994987, + 75231339, + 744773600, + 492240838, + 972873335, + 650604530, + 703250652, + 931900925, + 639443122, + 409561380, + 154419999, + 239388733, + 671766555, + 495136487, + 313110632, + 299644464, + 319704396, + 110312044, + 655257342, + 133645615, + 717539208, + 719562077, + 530138119, + 541581302, + 686277406, + 419101257, + 27192544, + 75219108, + 126666812, + 483749558, + 614572950, + 256885492, + 647552043, + 31953040, + 806821914, + 795371207, + 773720373, + 519204654, + 208295383, + 232053453, + 179266930, + 291159475, + 1692648, + 120940289, + 406684235, + 373589220, + 220873466, + 803259944, + 173102726, + 723993964, + 154138308, + 833383727, + 331872652, + 253864520, + 739342787, + 775884151, + 697804700, + 115995439, + 238461779, + 574508344, + 710591968, + 720053064, + 984402190, + 347958933, + 797697551, + 244040434, + 743202586, + 166918567, + 165684811, + 658016510, + 635938617, + 728416749, + 278083697, + 939414487, + 12410475, + 191366012, + 637410174, + 30664317, + 460326699, + 543464412, + 617676770, + 17542140, + 599099050, + 713005699, + 836410631, + 448261483, + 795916402, + 851446413, + 187678090, + 658072931, + 773079533, + 634222151, + 549714565, + 464087779, + 655718638, + 597771257, + 211013503, + 67872839, + 82683107, + 631703458, + 633090374, + 922087227, + 155431254, + 803057021, + 314596889, + 972120046, + 160849291, + 43357648, + 550953896, + 143316724, + 719164637, + 307415758, + 962052442, + 425392197, + 922982103, + 299317591, + 916494766, + 763856390, + 537581112, + 409957935, + 609764084, + 385722402, + 610886830, + 648545742, + 411794441, + 496844057, + 950873497, + 667534712, + 641059086, + 593752429, + 974347123, + 830380815, + 204560854, + 374047035, + 679415838, + 815527036, + 15336556, + 575172026, + 256650838, + 468521610, + 26055675, + 317862191, + 520540280, + 989733402, + 65022744, + 517333209, + 522858586, + 891649758, + 513142454, + 475123766, + 950038060, + 618431176, + 44715453, + 83829218, + 516223285, + 200205989, + 963050243, + 566841397, + 641897798, + 628665520, + 767544387, + 172104378, + 859946822, + 564686917, + 323988932, + 331536323, + 733221379, + 395999586, + 581130820, + 221029982, + 655767073, + 890102587, + 822176048, + 915437319, + 344106572, + 481191541, + 372578728, + 872415923, + 469372593, + 174486980, + 654346028, + 200321683, + 387589304, + 344966838, + 442130433, + 750520706, + 61542431, + 629024922, + 43463561, + 448371604, + 556330151, + 640488789, + 189752209, + 73077828, + 426876297, + 883199036, + 790775492, + 441519415, + 730841631, + 694058224, + 674283096, + 750935748, + 217802381, + 591224987, + 490696085, + 288973041, + 258546546, + 848715341, + 416033936, + 919722015, + 931409048, + 976716584, + 911371611, + 58722938, + 686627026, + 57248062, + 88108634, + 516732748, + 667916519, + 149973289, + 745774228, + 814717454, + 992468330, + 810643050, + 355293669, + 585834112, + 933761951, + 254151353, + 58626535, + 853468283, + 480806736, + 599452980, + 504283627, + 497132052, + 450181060, + 429343416, + 959800936, + 115074486, + 731340970, + 147539206, + 671140106, + 3579920, + 412211975, + 524179735, + 149050942, + 967912822, + 587434346, + 45502510, + 321571909, + 836375713, + 336576350, + 947153073, + 762120545, + 561946021, + 606225029, + 865269172, + 13572188, + 604090007, + 753055517, + 997074457, + 927258655, + 650720152, + 117761432, + 717872117, + 731427333, + 526465025, + 530706388, + 168487432, + 324584999, + 110113554, + 993149498, + 398105155, + 256297114, + 803873755, + 138895684, + 174237741, + 468459672, + 458197248, + 233318214, + 860275559, + 703840288, + 575648561, + 121744148, + 968123441, + 113370124, + 654182074, + 894153984, + 232782718, + 722843512, + 236421956, + 811351095, + 328007227, + 767538793, + 866303945, + 386373317, + 685976054, + 701461779, + 200610029, + 816076555, + 313401987, + 992776561, + 679670435, + 620811197, + 434383360, + 236427882, + 809840983, + 821604181, + 343007114, + 79683863, + 77360677, + 9417313, + 371653034, + 135754952, + 816031403, + 398742213, + 636091564, + 153249215, + 654439706, + 440557636, + 471074308, + 469435745, + 573047962, + 695494754, + 98062090, + 534702710, + 685861803, + 538492159, + 286616112, + 967377684, + 125720783, + 505637711, + 4189636, + 801838010, + 622189972, + 64430917, + 495686629, + 806962020, + 258067307, + 135069631, + 702078365, + 705627127, + 153685378, + 921430929, + 708969565, + 676140594, + 771508337, + 395865558, + 17153163, + 453018645, + 373041399, + 285694459, + 959135294, + 207026808, + 820588975, + 467130073, + 174658116, + 816099811, + 56918065, + 98139646, + 916932702, + 253527475, + 109683117, + 931962739, + 532553637, + 578692952, + 160698230, + 368682505, + 96500474, + 271013035, + 274113327, + 974106520, + 861844629, + 868588307, + 337910338, + 192153163, + 565161861, + 378493147, + 962274264, + 656877339, + 887589400, + 706841777, + 129479380, + 770927237, + 831317622, + 674365707, + 635199899, + 66520542, + 109453957, + 97630857, + 262767827, + 208724382, + 641279325, + 708616758, + 350037685, + 239275380, + 877005511, + 704610428, + 233183813, + 500044933, + 770621889, + 648374796, + 22949999, + 43817935, + 534112747, + 231913445, + 488693030, + 651900253, + 539608263, + 440593482, + 565437180, + 338060031, + 69961620, + 141896677, + 497520855, + 819540680, + 166438367, + 234031241, + 527890799, + 853792205, + 977489352, + 225386389, + 778621472, + 289520837, + 952397119, + 204437004, + 972445826, + 207235713, + 98730942, + 915302330, + 561663022, + 263169963, + 662306352, + 649461554, + 968580523, + 735319566, + 183792245, + 938703755, + 508404935, + 712810860, + 17240024, + 500398758, + 260654606, + 650953887, + 392231749, + 502472239, + 776804904, + 610878197, + 310689526, + 889300335, + 239796608, + 996147124, + 677118810, + 648533616, + 934934612, + 700858567, + 230360420, + 536190535, + 540461799, + 647501096, + 790172405, + 749037446, + 273365364, + 769392053, + 947035231, + 15258676, + 219168744, + 591731226, + 746365420, + 109387714, + 531312918, + 473346250, + 549051940, + 391239002, + 535585969, + 677627414, + 540227089, + 957627867, + 81544190, + 198139649, + 254397269, + 500759896, + 86091857, + 988794317, + 331311386, + 18712762, + 345854343, + 583211265, + 18674817, + 987470967, + 909005805, + 602325150, + 188383650, + 853378261, + 250659557, + 158267854, + 405281886, + 137057779, + 426274412, + 290160925, + 152121706, + 83325232, + 667397852, + 756481758, + 881653300, + 278293473, + 895104896, + 956781280, + 428918470, + 681247062, + 543592015, + 527045761, + 744947217, + 813027334, + 618064994, + 377272247, + 706939059, + 322089985, + 626761856, + 886448004, + 518801073, + 327734808, + 509002975, + 463189187, + 962194325, + 935876052, + 523439995, + 883707263, + 619978402, + 530941065, + 865515471, + 565558713, + 44528288, + 878382331, + 609302675, + 659245985, + 248512611, + 303060574, + 832374357, + 493339116, + 776545208, + 599302237, + 851972266, + 366653286, + 732055116, + 923127856, + 514762514, + 421272976, + 46259688, + 5971891, + 356184326, + 151297681, + 42494016, + 399594761, + 691716841, + 372532371, + 784260333, + 918023377, + 268951604, + 906728219, + 732765533, + 33715132, + 786474585, + 530858448, + 786094510, + 324385200, + 243714534, + 668213384, + 951625517, + 7469208, + 964078202, + 788041512, + 862112658, + 482585685, + 241357746, + 905205014, + 242778590, + 354853451, + 722305741, + 148833018, + 413046805, + 653368127, + 300297849, + 971141211, + 662726642, + 795724875, + 602488320, + 375285210, + 389818047, + 648239831, + 596990398, + 376997372, + 110030349, + 556399159, + 855488777, + 741383927, + 985980045, + 350631334, + 839075452, + 127035987, + 224368831, + 759195304, + 302354110, + 372371559, + 282852952, + 933577217, + 727046708, + 180122577, + 461801389, + 540763511, + 538578138, + 428076243, + 71304943, + 670810664, + 191367817, + 142205264, + 621282975, + 957872066, + 510721870, + 942389498, + 800123614, + 500082777, + 209834040, + 345440183, + 357701824, + 848202898, + 860422791, + 842779062, + 404821037, + 697045673, + 288289487, + 576257013, + 633198233, + 311102851, + 628275741, + 528783127, + 834908304, + 974116201, + 660711394, + 475125963, + 662664033, + 157659562, + 501711622, + 252776639, + 452795601, + 387435643, + 98896023, + 612854265, + 463249899, + 125435003, + 207197821, + 279592894, + 89971837, + 848851227, + 492658342, + 488939485, + 260817995, + 619949716, + 111314198, + 912171377, + 543104942, + 917983970, + 544821383, + 571904067, + 540207970, + 809030595, + 529090872, + 744968234, + 793948049, + 202224123, + 20479893, + 384574462, + 631409163, + 288291323, + 383617955, + 370741778, + 620783159, + 556298213, + 359733329, + 850889547, + 19121848, + 634898686, + 182926309, + 115026212, + 200785991, + 90628692, + 532433327, + 522033535, + 446180928, + 340552189, + 972123546, + 951082014, + 465467490, + 49759961, + 796559427, + 302414561, + 227298764, + 30274749, + 227383396, + 928937774, + 634466972, + 389534178, + 215530561, + 876888491, + 574246721, + 386861180, + 773229541, + 171753013, + 147310807, + 415644859, + 336477666, + 742095065, + 173095393, + 953979282, + 83662953, + 214168741, + 234140442, + 225845230, + 101587422, + 934143088, + 910552674, + 335332223, + 444573705, + 376788358, + 348440989, + 350983473, + 325551916, + 18528910, + 961397023, + 810752889, + 611869686, + 22692405, + 540104699, + 626007032, + 643915014, + 124664529, + 882452283, + 624604139, + 455107539, + 381239040, + 86093749, + 875513307, + 658611396, + 455723003, + 440406983, + 114298646, + 297233398, + 640765378, + 962181399, + 723277796, + 735069752, + 418619503, + 642119337, + 271920087, + 325617558, + 127353897, + 442197530, + 929618904, + 746747656, + 248601335, + 291794247, + 161682519, + 581775848, + 207697382, + 867620358, + 399120855, + 18392124, + 572596927, + 419123995, + 818361590, + 731870144, + 928540672, + 550680616, + 604374663, + 745814746, + 807899937, + 603273736, + 180054063, + 194744393, + 559257805, + 771344026, + 27263041, + 5773085, + 522943085, + 853456879, + 569171383, + 168520787, + 414562080, + 302782640, + 547155770, + 830781194, + 232454301, + 703281297, + 517082985, + 782549374, + 754020502, + 109338120, + 681305825, + 603977415, + 911276663, + 998260453, + 415154419, + 215503609, + 353575512, + 373119659, + 953551245, + 717356849, + 247073511, + 166573609, + 754833061, + 787813237, + 621801680, + 704068639, + 423640993, + 898662789, + 837015173, + 842459055, + 675768423, + 700343294, + 441381634, + 272156625, + 65459161, + 524598035, + 809484348, + 746326835, + 570668336, + 497806006, + 953313438, + 747586439, + 15554519, + 759621927, + 378206494, + 954192775, + 710099212, + 109498701, + 48959136, + 804427273, + 637273584, + 985870848, + 94242207, + 544325700, + 385525126, + 33870598, + 939214498, + 295621434, + 141782875, + 174161623, + 106780598, + 750518573, + 700687137, + 990351827, + 423288251, + 995698866, + 252862781, + 349809396, + 412128982, + 518174056, + 984696853, + 410672713, + 95851600, + 166603153, + 896648726, + 169992710, + 635025781, + 580556995, + 733947381, + 226280283, + 392881887, + 132221739, + 228150172, + 781731782, + 100177147, + 520626725, + 521333157, + 308020906, + 505296103, + 439032392, + 664765555, + 635729393, + 815479284, + 84689203, + 895370601, + 261795972, + 773207412, + 127653735, + 150382680, + 571102031, + 350445442, + 146538607, + 718603611, + 405804779, + 519686112, + 496917137, + 284467255, + 536752858, + 623864512, + 684754769, + 765250762, + 484620465, + 379590549, + 225867450, + 502128249, + 936230196, + 437853023, + 14759566, + 50739716, + 869099994, + 426120738, + 853948796, + 909199045, + 132775064, + 598868505, + 33935724, + 45135363, + 448848337, + 518547061, + 155532172, + 339436574, + 673846453, + 372055225, + 115961942, + 67795545, + 859804038, + 2914397, + 262458794, + 8973124, + 467428257, + 218887364, + 87402064, + 281536757, + 922973777, + 390695456, + 55196852, + 989974059, + 884452438, + 467661184, + 62180044, + 821620126, + 643605427, + 39505577, + 120889682, + 389329796, + 893898777, + 504633791, + 256975800, + 571351530, + 486504077, + 434409955, + 602802740, + 104481316, + 634857970, + 982912457, + 296446887, + 790943898, + 520031479, + 874993258, + 748877550, + 108360437, + 960622292, + 877263744, + 458536926, + 216927312, + 920388565, + 84939992, + 660600171, + 673714661, + 590050480, + 167999957, + 840620036, + 242100545, + 200075493, + 324874815, + 25750015, + 321182967, + 680684322, + 955682927, + 843541486, + 182028144, + 107922181, + 47636715, + 341796080, + 45513841, + 302815099, + 36355394, + 712713822, + 701370719, + 352807009, + 700774041, + 905233453, + 638487824, + 911532897, + 517971230, + 872953480, + 921308437, + 982982005, + 776531143, + 474190503, + 43088286, + 412551959, + 368802629, + 36309682, + 229710761, + 144702026, + 938658384, + 628633524, + 920383389, + 865066326, + 532203240, + 606137057, + 894960906, + 919246588, + 867745108, + 923879770, + 242319513, + 770458751, + 13180868, + 292337249, + 176659055, + 520084501, + 76610005, + 713261948, + 839526049, + 155514881, + 508563360, + 312207938, + 162018983, + 855183560, + 569254126, + 754755923, + 354401235, + 838116346, + 11501774, + 82845720, + 40569320, + 259185330, + 115393513, + 976989495, + 688663259, + 547896661, + 517806175, + 25612725, + 151623069, + 206702501, + 631016, + 583331897, + 580997277, + 583173649, + 439601751, + 750444084, + 985129243, + 905412926, + 269250267, + 207357336, + 328274416, + 139838429, + 813709667, + 459760314, + 433753820, + 55753139, + 86528692, + 213024625, + 293626615, + 315727764, + 853229985, + 399742699, + 661376915, + 149067483, + 444882796, + 197645904, + 205763874, + 203911555, + 99564610, + 83596434, + 166535327, + 767600534, + 754522977, + 106179120, + 581856404, + 772218117, + 604580000, + 940405361, + 612527871, + 315820625, + 121579855, + 667994718, + 773533533, + 934519832, + 470573856, + 809185095, + 727197751, + 664200109, + 667966126, + 568241638, + 366402761, + 969205614, + 611560848, + 674932435, + 939552967, + 154635533, + 739018796, + 587145042, + 387213538, + 623870031, + 540600619, + 480883870, + 472239564, + 119512886, + 485751113, + 465729060, + 875799613, + 367429445, + 618743126, + 823526045, + 851578745, + 24966279, + 336537667, + 706587535, + 100644124, + 511687580, + 55041864, + 739147731, + 511900004, + 456560007, + 476119288, + 171682812, + 538788085, + 812092111, + 890059270, + 487165849, + 519653348, + 404251738, + 991993024, + 298163231, + 13381497, + 720080969, + 650325040, + 262952176, + 666754434, + 382435637, + 754939427, + 859797501, + 3450986, + 584323664, + 93691916, + 698351039, + 768349891, + 307321675, + 677943478, + 706077039, + 724232087, + 927738731, + 16772987, + 279273725, + 754684805, + 182606160, + 764848843, + 122908480, + 499211730, + 40802466, + 107681886, + 741904672, + 882371397, + 514803378, + 797344380, + 933811856, + 26564668, + 104651175, + 242030014, + 83236770, + 784424919, + 575237972, + 930578857, + 631767396, + 848374782, + 921659778, + 972315784, + 570781652, + 577633569, + 462384024, + 794851088, + 128977030, + 190581483, + 474880931, + 424281842, + 823813948, + 298952555, + 990725665, + 974467651, + 765595382, + 440134671, + 185983177, + 446427361, + 27309508, + 42427575, + 721696355, + 806267032, + 555999621, + 882005557, + 66739149, + 167435114, + 291548833, + 708426064, + 50254113, + 495410126, + 864452271, + 374188824, + 423252593, + 13478630, + 708240897, + 400557475, + 957431740, + 980121116, + 298823992, + 12715754, + 520059113, + 465973954, + 163236735, + 697502498, + 558408507, + 974758733, + 48775437, + 727192403, + 645678840, + 385235003, + 4207951, + 201844575, + 410265264, + 38808145, + 230631070, + 418263404, + 734327458, + 274573464, + 507337140, + 59195812, + 560444355, + 530405907, + 150827639, + 974122573, + 800590913, + 916647077, + 915043882, + 743159744, + 255592274, + 754635453, + 805630051, + 604867086, + 824290005, + 848504624, + 507036928, + 295335816, + 13075464, + 442877113, + 860859376, + 87571464, + 614756201, + 654874955, + 296647730, + 330317428, + 447546391, + 240841940, + 917561813, + 39173819, + 440759722, + 244996468, + 717476243, + 466941991, + 403374278, + 125721828, + 940646782, + 2771267, + 430724200, + 376718918, + 978286458, + 805966613, + 57854630, + 38049479, + 692375930, + 923782673, + 338706161, + 118681139, + 766826348, + 128473087, + 508762173, + 851605686, + 685537798, + 147998978, + 729549970, + 743430466, + 811639675, + 38343962, + 554472294, + 22726004, + 767828242, + 864193394, + 719256143, + 630941042, + 959712740, + 689829629, + 663169753, + 976055049, + 6411981, + 815423823, + 204891470, + 237672109, + 624638824, + 49599420, + 720906516, + 586385591, + 254910559, + 243134646, + 675505606, + 224133211, + 201074824, + 583450300, + 293973251, + 634072549, + 909213594, + 31834846, + 721084624, + 279255115, + 795854177, + 408689307, + 712224642, + 301988796, + 646828644, + 273980587, + 549302337, + 181452251, + 84209088, + 393820370, + 169258757, + 303406629, + 16455162, + 189793827, + 962956719, + 99809898, + 399686869, + 682760888, + 959456584, + 376595096, + 386259147, + 818977689, + 571880706, + 967509919, + 9656617, + 619565636, + 723549684, + 296643362, + 27420352, + 477568054, + 27089344, + 888877766, + 771513514, + 270130629, + 631841879, + 821827763, + 185624126, + 789911967, + 235495389, + 675842016, + 962561540, + 594122326, + 190983724, + 272786504, + 359522956, + 544568369, + 723653844, + 301123489, + 3391902, + 896822165, + 101298718, + 536834852, + 549503250, + 414864350, + 915714483, + 583152181, + 844846010, + 945325538, + 54586128, + 644373993, + 252721698, + 895257018, + 929928528, + 734049291, + 775646771, + 772024615, + 962299940, + 568833414, + 429493199, + 777363727, + 318995115, + 991833778, + 692953825, + 78976349, + 83414683, + 737220922, + 313088063, + 839929174, + 486229181, + 964817985, + 997726848, + 221343479, + 613378555, + 959857978, + 450609772, + 397908156, + 235967714, + 92472577, + 854739016, + 258304980, + 616745838, + 25880466, + 875469948, + 330189502, + 28826591, + 859265685, + 790738357, + 224374315, + 739738218, + 337179730, + 288180678, + 893340118, + 811428308, + 622431730, + 117824652, + 946880788, + 382804382, + 606376827, + 497608754, + 956924002, + 838066047, + 480642566, + 714152561, + 472277862, + 739425943, + 252447467, + 273352581, + 392550586, + 58224376, + 609684060, + 500159907, + 323085437, + 810700438, + 616341896, + 708982533, + 205952805, + 83331062, + 70657948, + 616037293, + 680140947, + 398473356, + 910187729, + 798032546, + 600491311, + 325653815, + 508399479, + 467867142, + 912958895, + 444034426, + 849132265, + 479952766, + 396496915, + 438210139, + 417497003, + 741157365, + 803810323, + 903206702, + 226830699, + 149982726, + 228117709, + 194449452, + 578703014, + 429991377, + 485166070, + 174825868, + 448943614, + 978208148, + 794867083, + 312466526, + 437486891, + 28311458, + 390678496, + 48228664, + 369564977, + 378345374, + 852652404, + 795472694, + 254888659, + 144819470, + 34369323, + 404746155, + 339194706, + 100927851, + 225232967, + 236658409, + 423613386, + 535929319, + 192879895, + 729641595, + 330148967, + 559264888, + 55894912, + 375104288, + 781557637, + 462469551, + 860493165, + 812339574, + 127895771, + 155940613, + 513655291, + 393318504, + 690107453, + 261634364, + 592713255, + 711861878, + 160649260, + 813977975, + 175912468, + 723070330, + 557493855, + 188881327, + 233128558, + 125474533, + 500415080, + 557308629, + 319609604, + 474177763, + 837350110, + 172979708, + 398082668, + 404351745, + 468023855, + 490711822, + 38343454, + 988659137, + 566835158, + 731272, + 766695012, + 267424833, + 762279229, + 813718573, + 330249710, + 561310467, + 876571540, + 937307434, + 414524789, + 786974281, + 411760156, + 220189502, + 136789914, + 503155886, + 832960191, + 224983246, + 958693440, + 524599075, + 309303236, + 240817695, + 231485602, + 632759283, + 286375247, + 136402647, + 868245926, + 598949857, + 703764031, + 204466344, + 916492378, + 619647369, + 862452972, + 454371519, + 949140036, + 123440022, + 907203233, + 668227278, + 38983703, + 705378483, + 969951223, + 602388147, + 526519302, + 908212021, + 795427138, + 817980840, + 463443714, + 505818963, + 462090219, + 248850929, + 741133280, + 675775151, + 149202457, + 143239349, + 598905135, + 484996092, + 740012040, + 551099100, + 107303203, + 924725390, + 810133601, + 848001608, + 78133944, + 26322065, + 53991450, + 529780998, + 667905129, + 970039245, + 93523710, + 379535003, + 5876898, + 406189218, + 449203011, + 320950531, + 929103054, + 183627995, + 99769333, + 934800582, + 334700784, + 27471546, + 77938819, + 46535936, + 825122086, + 614377828, + 186141636, + 47534246, + 273403255, + 44218599, + 681423515, + 264789443, + 3064615, + 43830200, + 56605810, + 883604893, + 131664995, + 716623405, + 368475922, + 5426467, + 400352212, + 626530554, + 68962489, + 229510199, + 839559131, + 206964191, + 752374097, + 88281032, + 470273306, + 45439378, + 182381244, + 720825652, + 224102665, + 656018600, + 635636013, + 578962224, + 894529710, + 602951739, + 109524293, + 349288325, + 852820523, + 42428779, + 174895477, + 51374278, + 34355106, + 348302841, + 307363202, + 654565237, + 381071563, + 700253349, + 900131394, + 967442270, + 414913975, + 771950568, + 895919754, + 980653220, + 243051796, + 463054314, + 665953075, + 36246411, + 571635471, + 558201816, + 820580371, + 667760903, + 154641347, + 526496824, + 967199048, + 104632726, + 248428786, + 595088034, + 792745355, + 694207644, + 703683847, + 906222321, + 507814418, + 906595848, + 387999273, + 900571310, + 803409716, + 773880246, + 184011301, + 836264779, + 499955776, + 985576274, + 333107565, + 676084677, + 674135091, + 772570395, + 408374905, + 275508793, + 305617304, + 861522963, + 702055899, + 722378068, + 611976171, + 491343584, + 260121637, + 474428243, + 330105481, + 521422361, + 742142579, + 823516794, + 652353637, + 869626328, + 208789711, + 847438720, + 447051327, + 813521769, + 852418908, + 513542334, + 264143133, + 193238074, + 54654192, + 680243099, + 373716007, + 423450202, + 559944961, + 803894440, + 675219104, + 391606617, + 472662037, + 663224946, + 375640733, + 430261901, + 211320864, + 467385581, + 176353451, + 37423859, + 312932050, + 987211136, + 9157107, + 319594892, + 674284823, + 555420943, + 406085594, + 479147402, + 640319199, + 33877880, + 104869875, + 151503512, + 261511789, + 332227328, + 971575061, + 755867218, + 740897546, + 695329503, + 777686686, + 51403991, + 809547864, + 97295649, + 922906706, + 84355001, + 551331579, + 119367586, + 414026994, + 787110250, + 912869903, + 864544987, + 939928507, + 752371653, + 198028251, + 644566825, + 771980719, + 209927646, + 214403972, + 517618356, + 262455691, + 153109485, + 58296204, + 29445130, + 431334037, + 261819495, + 483817487, + 997821726, + 439288691, + 739163690, + 785153624, + 14822718, + 673419645, + 132858461, + 62453309, + 968089536, + 446973541, + 648389267, + 175909639, + 288611205, + 489214345, + 519431658, + 145900904, + 374422233, + 882880598, + 314097660, + 416664690, + 250325906, + 528125713, + 166326716, + 851937978, + 160603319, + 558648765, + 863350058, + 770420257, + 172039634, + 823129588, + 710007646, + 470684721, + 152706641, + 817940668, + 816097882, + 987110869, + 838770813, + 755248205, + 871129880, + 18820740, + 978468898, + 726645574, + 642349358, + 851997630, + 408686983, + 512159673, + 893350340, + 649812065, + 16024266, + 383152854, + 807366359, + 615218061, + 913352489, + 805378678, + 487877416, + 560814107, + 640082931, + 495431516, + 445169104, + 392176732, + 617801549, + 754301660, + 298315708, + 172047688, + 823503324, + 835314555, + 884088720, + 421367188, + 951083413, + 593052397, + 834511216, + 365550764, + 178160990, + 327371451, + 746837717, + 856397456, + 327246272, + 835236442, + 535517058, + 914121780, + 75173977, + 274263202, + 84613571, + 511593408, + 935763643, + 107428494, + 922521935, + 164816618, + 606101327, + 292192137, + 227792576, + 763966161, + 194303471, + 503521334, + 499261841, + 835066359, + 194148119, + 862497261, + 455093970, + 758535475, + 902221198, + 552988804, + 478399231, + 53309053, + 516943296, + 703259378, + 919232382, + 211991799, + 874545470, + 865731441, + 53074040, + 634301707, + 991730556, + 457003668, + 177174071, + 508231093, + 167709623, + 473486979, + 717121079, + 314431483, + 406524119, + 221427728, + 774097775, + 289135519, + 928981930, + 354959726, + 629111898, + 6549975, + 473661063, + 773357804, + 883128488, + 293526028, + 156073374, + 742634066, + 983374633, + 866414214, + 247307807, + 363218232, + 983918068, + 204355314, + 498170262, + 443934632, + 803511404, + 861832078, + 537542732, + 813371190, + 407788028, + 237420215, + 727783100, + 154825308, + 582335448, + 506653594, + 889995134, + 167880264, + 725100292, + 965562894, + 801498579, + 118072072, + 264496833, + 373635698, + 696095649, + 629043988, + 574156958, + 391868374, + 512988166, + 45915440, + 221142488, + 523862530, + 605313700, + 517825558, + 675943229, + 152274550, + 685911566, + 933178661, + 419672491, + 722648236, + 184989042, + 457574862, + 153653922, + 143132572, + 991387932, + 522726436, + 910413066, + 542313842, + 520190702, + 152985418, + 915469167, + 142297084, + 781820943, + 924797930, + 758663857, + 875196332, + 609083412, + 388189497, + 810194585, + 717768058, + 693534644, + 618207629, + 724093256, + 901536385, + 40979282, + 140476513, + 127632923, + 272606120, + 135841948, + 226103164, + 719158742, + 173894328, + 233706243, + 685700586, + 520467486, + 344460919, + 556782103, + 814457290, + 313871123, + 888550392, + 52972389, + 685289306, + 106077904, + 872063740, + 391285557, + 155098026, + 708210851, + 668643249, + 944337699, + 568694869, + 733432898, + 844835456, + 17995809, + 640933571, + 969134202, + 669304948, + 721517771, + 433167790, + 551005980, + 575815134, + 249691602, + 134721295, + 386798245, + 809900613, + 614797499, + 241966765, + 189792897, + 557355666, + 806532323, + 607821845, + 387343922, + 930269446, + 852458235, + 661581917, + 603463451, + 879896500, + 166329090, + 275729413, + 294197253, + 542229112, + 658673704, + 221093689, + 888333459, + 562398850, + 5451401, + 241151352, + 492792559, + 147736873, + 764614603, + 119525946, + 468113895, + 466184936, + 640156584, + 802076899, + 847694056, + 662503555, + 776085372, + 891421757, + 372911721, + 296047394, + 507004215, + 805904603, + 583634042, + 625091600, + 583522877, + 615330592, + 217832278, + 519222541, + 562188134, + 531444810, + 236218943, + 639260940, + 657924790, + 468625106, + 764589559, + 226184259, + 164177544, + 720009731, + 536177125, + 969396005, + 717167361, + 992092704, + 765032020, + 802389634, + 222658996, + 589045842, + 691298071, + 391385768, + 436852464, + 872342688, + 907218667, + 921827908, + 360506443, + 279240396, + 949374180, + 537743143, + 846254666, + 400936289, + 253957913, + 343501212, + 237303948, + 82089102, + 421009645, + 917219255, + 120067291, + 364826286, + 950252697, + 475636923, + 721048051, + 170832861, + 893920528, + 495438126, + 506358244, + 55589003, + 103359522, + 653659436, + 968345975, + 865895845, + 353500729, + 386580519, + 875529667, + 810183697, + 560880374, + 600971835, + 897786723, + 477687077, + 529660234, + 808528715, + 453087890, + 272891436, + 658118778, + 513559751, + 293633124, + 740208614, + 571481302, + 702794359, + 886162107, + 972473326, + 165195313, + 58493315, + 990966743, + 624659366, + 149711529, + 486634870, + 481572836, + 863962881, + 138675525, + 823547020, + 249720633, + 153443669, + 220923211, + 184504025, + 87263341, + 756713992, + 983476516, + 575203042, + 952463354, + 572172373, + 131339992, + 573050262, + 373424239, + 710370975, + 114375477, + 451617721, + 388768300, + 726440950, + 908654551, + 662815480, + 572944434, + 211492224, + 822237838, + 392554576, + 340334946, + 679452258, + 73462167, + 942143327, + 414839314, + 131224886, + 945424518, + 779766171, + 403760238, + 2214362, + 813944075, + 850576058, + 12507756, + 408081119, + 554685939, + 301281716, + 134239486, + 330801678, + 574739707, + 161107119, + 573143265, + 864176582, + 458549617, + 882978541, + 123950067, + 381059128, + 49570501, + 575807917, + 17055734, + 376506640, + 828496312, + 949231089, + 290649114, + 467018781, + 519978158, + 422231000, + 497059672, + 785045186, + 390625348, + 233711533, + 579038522, + 567094679, + 406861317, + 655480287, + 452412403, + 561057296, + 814437886, + 557867252, + 600731889, + 233011908, + 706697881, + 714332380, + 39349059, + 870883921, + 725706493, + 279810377, + 754665531, + 217953784, + 10541414, + 615705449, + 234319913, + 933661788, + 185156819, + 167324028, + 20635379, + 595632650, + 495464884, + 670353875, + 690355235, + 459327104, + 909111005, + 235496122, + 932183553, + 803242997, + 323263639, + 30001235, + 125261239, + 83672877, + 349723341, + 952995996, + 551057720, + 356357924, + 285272045, + 869182211, + 7465746, + 417652268, + 540926088, + 349034040, + 54512142, + 290864543, + 313356144, + 500041373, + 429308799, + 350079905, + 921176892, + 926557438, + 235471797, + 387446772, + 2648570, + 314983629, + 164148259, + 776371215, + 977150873, + 1030862, + 226145358, + 255932901, + 699556602, + 988071018, + 128995796, + 620732011, + 682275013, + 486297118, + 31946855, + 846237275, + 365229878, + 100281530, + 953375758, + 810884725, + 878352241, + 461038433, + 959155394, + 611147623, + 558023822, + 866871160, + 914114780, + 677263116, + 463947179, + 737662093, + 488152025, + 263814168, + 683396794, + 587770410, + 930074291, + 398214959, + 902949011, + 166363681, + 557761866, + 83846570, + 840919204, + 92867890, + 685773184, + 580463657, + 354526631, + 972054683, + 875757982, + 878888169, + 550395596, + 316986065, + 719817097, + 986833114, + 605110575, + 490634088, + 836276639, + 902960667, + 264851516, + 599572082, + 760961260, + 799599764, + 444266472, + 153609009, + 769432782, + 287080547, + 490106168, + 290526795, + 283030118, + 994071285, + 153000607, + 803456951, + 651164157, + 838983627, + 356822746, + 421449130, + 200491667, + 653282079, + 874001000, + 407646262, + 35581162, + 575793348, + 100595303, + 111727961, + 523070604, + 583577187, + 646147114, + 231232692, + 668271826, + 416813341, + 442288808, + 185694120, + 855968201, + 468732441, + 765493459, + 400226183, + 728669770, + 700487471, + 432299704, + 875207926, + 919179912, + 939234185, + 256522497, + 59995355, + 71639188, + 39053533, + 705523318, + 604930838, + 664027023, + 157359387, + 588663870, + 634006349, + 545486437, + 183778137, + 297371343, + 494011502, + 529138908, + 313717789, + 362619608, + 360566710, + 908202470, + 499255329, + 102241499, + 122089882, + 513590344, + 381348023, + 703065747, + 951559121, + 32815574, + 819531192, + 951697386, + 232032233, + 893243559, + 219016734, + 532013202, + 476721528, + 667304609, + 611290020, + 136488407, + 627520922, + 196609868, + 269029408, + 530132081, + 159851947, + 13340766, + 331967331, + 176489577, + 462517845, + 500276202, + 657845482, + 784333986, + 333257364, + 370515898, + 952508089, + 232366841, + 354453767, + 268412933, + 582769746, + 257721448, + 567493382, + 176110931, + 839295192, + 454717413, + 983489137, + 986549876, + 280186698, + 9959805, + 88500864, + 97549703, + 409132066, + 935989479, + 255889591, + 30694673, + 247786677, + 661875363, + 57452946, + 361557531, + 690435069, + 36758805, + 682990854, + 338595068, + 997088689, + 724279216, + 755610582, + 360727203, + 961063451, + 335208127, + 953183773, + 992103621, + 465786495, + 28658946, + 202068086, + 487384017, + 330430138, + 866166914, + 962060973, + 161899848, + 820582720, + 991537534, + 818302904, + 965400843, + 134909247, + 387549460, + 780558894, + 818477519, + 495884687, + 609311032, + 926643028, + 443739688, + 640805269, + 361990098, + 990942805, + 57621359, + 674470850, + 875535602, + 792388177, + 151690439, + 858824872, + 808259021, + 573875328, + 945644136, + 873447580, + 325881202, + 579071608, + 277642919, + 16749947, + 679209259, + 326283542, + 273341900, + 690695009, + 78432125, + 24777153, + 566542593, + 706305131, + 542034302, + 59827022, + 696590866, + 573980724, + 300561509, + 604702157, + 250747894, + 993982733, + 311490687, + 850953648, + 987950135, + 953683821, + 210061811, + 900963678, + 114854407, + 598632130, + 822514178, + 745077812, + 998229246, + 978112508, + 345336580, + 115200508, + 667938798, + 306036219, + 628753262, + 312778972, + 994899683, + 697806457, + 48311313, + 286688615, + 33928900, + 783459381, + 334505751, + 723583974, + 411611505, + 740590376, + 387709424, + 768565345, + 61497762, + 138984998, + 327953993, + 74587524, + 614680168, + 328114243, + 602108550, + 839915595, + 167976053, + 815034407, + 51305363, + 652044383, + 968080, + 238403305, + 486937439, + 707026101, + 336431182, + 650809445, + 38706346, + 500087773, + 365441979, + 384891192, + 710812062, + 505124909, + 195149635, + 210746393, + 510476947, + 503380180, + 653665168, + 791933809, + 925511358, + 4409648, + 794661675, + 832332459, + 478041795, + 88409110, + 345812730, + 701018628, + 104666105, + 702443110, + 196034842, + 842449953, + 709536820, + 728652040, + 630903226, + 953673320, + 982127639, + 228444992, + 736460362, + 932077647, + 368029051, + 578474098, + 386854193, + 642649806, + 204408806, + 231954501, + 309155292, + 835526868, + 695787326, + 458736527, + 65432707, + 552805039, + 289046351, + 85702152, + 275336156, + 153988012, + 892342259, + 597568718, + 195414197, + 961307133, + 304763557, + 412828809, + 827471189, + 305623995, + 412640240, + 870733799, + 141608933, + 966115170, + 723308220, + 8000293, + 551131485, + 49894856, + 232685045, + 253966556, + 600282775, + 645965895, + 194679256, + 881914870, + 662391198, + 915805796, + 583242296, + 844476861, + 342755642, + 421052635, + 961944389, + 713862950, + 34888655, + 496726973, + 86543671, + 475730759, + 445266056, + 400912607, + 255154522, + 972714233, + 650641803, + 776697037, + 32999490, + 262027481, + 771537048, + 901933662, + 699915045, + 978317170, + 452711187, + 600608528, + 549396078, + 277656402, + 497078618, + 157417103, + 283367290, + 283323902, + 911366354, + 274210543, + 337341758, + 459863222, + 533216687, + 923401370, + 81361870, + 24244346, + 73404128, + 678368116, + 686498559, + 728470171, + 552727994, + 366364796, + 860148539, + 351918939, + 134536243, + 540860198, + 178322080, + 8528098, + 548873273, + 424224954, + 243715711, + 244216592, + 244859802, + 979686560, + 782168261, + 571599549, + 15499972, + 283486909, + 882989248, + 554937301, + 189412456, + 13792086, + 606128896, + 11438316, + 200202283, + 902788470, + 660188382, + 973960192, + 632503797, + 397735328, + 877404459, + 135569933, + 342127742, + 72465329, + 291158767, + 586963052, + 773583858, + 620188661, + 124823334, + 980923337, + 23313582, + 34213660, + 462179334, + 893985868, + 398703282, + 88112739, + 32044915, + 308785434, + 443918175, + 632899813, + 393325940, + 362578749, + 312193838, + 955504824, + 581291307, + 359276306, + 334963072, + 68949621, + 516632930, + 202272995, + 57479208, + 614385586, + 321105169, + 319981771, + 249038849, + 104395925, + 557845514, + 825205583, + 46060764, + 239209568, + 624157787, + 864470114, + 674587036, + 381839143, + 180811385, + 967011777, + 832427545, + 140069119, + 594781825, + 860778296, + 269975645, + 903329965, + 8383153, + 225941174, + 266978268, + 360153424, + 909367099, + 133274754, + 425784018, + 855207186, + 715822532, + 92773578, + 232035342, + 425236714, + 528550245, + 979653023, + 791539205, + 120961318, + 277689991, + 521911374, + 279444469, + 17329292, + 284050131, + 952641624, + 778960096, + 443921325, + 176526263, + 406927788, + 185685945, + 904159366, + 23511148, + 261294316, + 568701907, + 164934037, + 977654524, + 113229493, + 321415384, + 385665803, + 598013211, + 235204400, + 497657989, + 709347396, + 50932509, + 621433781, + 335535429, + 802052073, + 747893520, + 515734590, + 849275330, + 862549780, + 977226341, + 644646922, + 465284311, + 921765943, + 503240160, + 838554450, + 284965289, + 915447327, + 112535653, + 337285578, + 334425990, + 422855962, + 190395298, + 740831526, + 207095455, + 431415117, + 347706906, + 152726169, + 259460300, + 186981754, + 698316682, + 911225091, + 839675804, + 842930210, + 149676427, + 619211398, + 349705117, + 701615924, + 598936444, + 910959735, + 409719743, + 166341916, + 515239436, + 83471587, + 159988624, + 130067718, + 958327704, + 916167792, + 536000015, + 160878486, + 546335419, + 748509618, + 988339450, + 358953489, + 970491344, + 230239602, + 697367324, + 613570475, + 297005053, + 438754589, + 504449520, + 45881122, + 965887716, + 17812571, + 10706314, + 807961253, + 8286610, + 679455907, + 795172933, + 880181515, + 228730271, + 690211173, + 69395992, + 825985543, + 426447820, + 617951567, + 54864998, + 294953601, + 802359876, + 964711221, + 48935380, + 163591073, + 814156923, + 430270980, + 535208434, + 319448247, + 703444347, + 203003034, + 598944671, + 732243238, + 790991413, + 110577466, + 216654716, + 615713306, + 130379961, + 441240031, + 968401670, + 901474630, + 989263582, + 472424633, + 855126524, + 115779634, + 833429284, + 578545293, + 669735696, + 196214608, + 344463742, + 713152402, + 141653639, + 540263699, + 49847288, + 225356677, + 517038768, + 265272253, + 485826901, + 385698441, + 78637012, + 435881804, + 702624894, + 979740406, + 733794509, + 934777284, + 972637845, + 436987089, + 950248234, + 411297759, + 196212791, + 17600405, + 206974420, + 382835321, + 985273426, + 894998916, + 410039289, + 234515662, + 543900947, + 730578523, + 525320086, + 25140190, + 114647366, + 465384886, + 189219632, + 987876400, + 574067046, + 635994968, + 235334265, + 779810947, + 801243602, + 513249549, + 329824085, + 56620550, + 137498635, + 579771423, + 917493833, + 618147880, + 38889122, + 963450198, + 909449791, + 135717368, + 35481530, + 207625770, + 624038195, + 278210574, + 133453635, + 384780352, + 321958214, + 858518622, + 271100031, + 799452076, + 52812273, + 324024919, + 397548046, + 90868016, + 905654210, + 417914904, + 580314610, + 152805121, + 804977457, + 276400221, + 986405760, + 495284860, + 329672825, + 500427594, + 533910443, + 310510580, + 954581228, + 22128268, + 899111605, + 135886386, + 584272180, + 342427714, + 438270630, + 834972006, + 996449356, + 957783813, + 319785483, + 548033334, + 822946061, + 149635550, + 435988658, + 745005825, + 153493788, + 832982345, + 102829414, + 721904344, + 187075493, + 422623963, + 319594692, + 62523796, + 180719275, + 760473522, + 337574757, + 614929869, + 247428188, + 566076695, + 140247443, + 145048758, + 505717505, + 61509100, + 821301261, + 97268299, + 500352343, + 492861070, + 304003787, + 880642306, + 623874031, + 695842424, + 961882378, + 477549544, + 34112772, + 183445328, + 668032203, + 745335278, + 924289709, + 256113529, + 199957678, + 642698737, + 813485959, + 107702994, + 903956160, + 998695776, + 961384526, + 163595137, + 405757197, + 661150918, + 344456037, + 833053150, + 396163013, + 657909911, + 808566769, + 848554338, + 249874226, + 784060979, + 608425694, + 668774080, + 984648974, + 881861112, + 239526650, + 896291614, + 520636148, + 805118615, + 657449113, + 691588145, + 694112366, + 199531486, + 761811006, + 778417660, + 211198332, + 974113545, + 347810442, + 111139871, + 95576649, + 464491743, + 558415785, + 180291961, + 825672554, + 669697102, + 228690044, + 905894303, + 219063669, + 55986663, + 25056559, + 958103247, + 303144658, + 838836553, + 642974475, + 748491900, + 172211012, + 142338022, + 444921512, + 804350519, + 425437841, + 238438580, + 617339678, + 797012611, + 629465460, + 323067475, + 199762682, + 816683353, + 100588119, + 234112303, + 76194057, + 698308860, + 859391015, + 224501511, + 618707225, + 233736768, + 194603656, + 102627571, + 232157042, + 878682709, + 564235135, + 878015826, + 526805527, + 521261939, + 68523114, + 75187929, + 911497469, + 645165869, + 415148533, + 128549321, + 305951590, + 51960225, + 427311013, + 361054583, + 63719395, + 633645407, + 239047431, + 882818539, + 56349768, + 994297723, + 745974703, + 399801578, + 293370896, + 676108159, + 465190966, + 596886834, + 713181157, + 10395088, + 218116302, + 841684185, + 990154913, + 808931109, + 362646549, + 74181222, + 10486737, + 302103287, + 542520988, + 880575713, + 711364535, + 470873291, + 38823005, + 854676487, + 285101141, + 165021760, + 742309552, + 494214063, + 225523525, + 725572862, + 934243362, + 303982918, + 394321745, + 229629745, + 593065075, + 604021244, + 895997221, + 974691693, + 523928606, + 131257618, + 717861064, + 468941329, + 792625911, + 562719431, + 799837028, + 76047663, + 156999155, + 762634132, + 219114901, + 130900501, + 584640271, + 221527585, + 932627862, + 957582695, + 330362288, + 399045144, + 11410231, + 785946263, + 942657737, + 111245722, + 458782212, + 853014896, + 375210043, + 687172676, + 541574732, + 171982653, + 596966812, + 492934654, + 151476685, + 741560109, + 713236878, + 462118438, + 501365730, + 485062799, + 876316145, + 193373623, + 959302945, + 34419436, + 221784316, + 882463650, + 935811919, + 312118591, + 277339683, + 250402383, + 195713482, + 764111815, + 971537525, + 844977232, + 229106098, + 914708288, + 21722029, + 197327848, + 993117276, + 452556780, + 666012928, + 160383720, + 300596649, + 626560321, + 785483409, + 551575543, + 895297505, + 979944822, + 266306122, + 741910753, + 494625463, + 882223645, + 6334225, + 585917760, + 710628264, + 484465402, + 810450866, + 731210768, + 506336176, + 994599693, + 291989536, + 307566304, + 605198243, + 256973501, + 853240483, + 744536030, + 416528551, + 233978809, + 368761079, + 275686806, + 265928218, + 934007455, + 144843056, + 596278464, + 394677271, + 739986182, + 622087892, + 232153455, + 187232014, + 934347149, + 661801406, + 388989284, + 362740420, + 538143881, + 209566708, + 105736727, + 207797216, + 545344397, + 902236203, + 746977415, + 748829974, + 812120589, + 600900344, + 719117857, + 778830922, + 46662220, + 393343939, + 35157046, + 943955093, + 246201254, + 248657021, + 984484067, + 188951666, + 614027966, + 562224433, + 357425511, + 675077503, + 923073807, + 408053788, + 753418993, + 632177733, + 573954431, + 903812453, + 394580153, + 60000673, + 617323845, + 176190192, + 992106337, + 284698325, + 598400070, + 573791993, + 312934765, + 274016175, + 852406066, + 706844490, + 195703995, + 211847647, + 861419532, + 852538857, + 397093815, + 220838630, + 83917530, + 476581938, + 969164155, + 856222143, + 695231926, + 594688964, + 989821485, + 501506403, + 613120528, + 184914477, + 838614813, + 580972552, + 816048153, + 168984349, + 756310519, + 792810181, + 118611702, + 350314077, + 131009130, + 763116935, + 165367774, + 82917328, + 735574968, + 808157566, + 931132809, + 243761308, + 494434060, + 653726975, + 359579715, + 213963492, + 708855687, + 269185013, + 210217674, + 870503657, + 997368043, + 618407816, + 746739468, + 482316078, + 391552713, + 739135513, + 34919476, + 311576394, + 958711120, + 779875245, + 531523660, + 994460714, + 449243350, + 230105703, + 806790501, + 284878102, + 414780661, + 57912935, + 956052504, + 976670751, + 765212443, + 783596418, + 687476952, + 184686391, + 476460323, + 939840591, + 17725973, + 833462842, + 568880404, + 471850675, + 978752209, + 65146703, + 452583444, + 789300455, + 112612724, + 302167051, + 785136199, + 475714001, + 487125226, + 517419337, + 462969636, + 106039490, + 727366029, + 503144944, + 596550547, + 374061174, + 228824137, + 329481263, + 66791757, + 324949860, + 977387877, + 771218402, + 659499517, + 957598236, + 687356448, + 245115882, + 484488978, + 781381531, + 999443037, + 350003572, + 423313815, + 518943780, + 15223719, + 909807276, + 789481539, + 828477831, + 4748916, + 172347842, + 552759429, + 881118873, + 688619723, + 299942928, + 398178620, + 140943694, + 937783259, + 331005843, + 16065655, + 476036155, + 130518490, + 717744652, + 307632277, + 518218459, + 779426351, + 443655244, + 354922574, + 712444897, + 868620869, + 395797088, + 804495381, + 401484944, + 617508474, + 321532339, + 849073481, + 445906662, + 557438792, + 767583311, + 328428414, + 597408754, + 964439692, + 52287406, + 578667147, + 784546224, + 532297729, + 711732566, + 614508172, + 976555236, + 95100367, + 497919928, + 445795784, + 246541574, + 412713706, + 258177891, + 425696915, + 619037118, + 335074837, + 119704927, + 930657694, + 48683797, + 788501798, + 209402888, + 729326548, + 925636142, + 775323283, + 561443535, + 583534607, + 998020233, + 463067092, + 174501860, + 774078649, + 198866986, + 293304753, + 921084612, + 416045979, + 56597888, + 351477300, + 638245241, + 529249899, + 68092518, + 277381178, + 676580854, + 430481301, + 189049489, + 149722221, + 188751050, + 661652534, + 744678413, + 136230450, + 852320474, + 71682476, + 277948733, + 454107672, + 627575627, + 755780721, + 372243032, + 464697561, + 993140020, + 351065297, + 340884434, + 867408818, + 97428623, + 541239666, + 969215205, + 695917151, + 579113610, + 463504276, + 140542219, + 603349209, + 416874143, + 966801842, + 8430680, + 146336652, + 972654598, + 166718980, + 758533914, + 413227647, + 173562643, + 149613571, + 116490176, + 652074682, + 172285975, + 114701189, + 598706066, + 841981011, + 789341049, + 446779092, + 39873109, + 111814207, + 292417075, + 989340416, + 751179686, + 36751795, + 691397239, + 770885227, + 394900078, + 820751137, + 384235177, + 211112556, + 232777005, + 698014151, + 811716171, + 310244959, + 181875351, + 754255583, + 571560044, + 358691320, + 512749239, + 42132198, + 675239621, + 684509557, + 902882538, + 721390037, + 33385425, + 876135741, + 813089673, + 782765150, + 540148873, + 422345268, + 893691658, + 576869865, + 972252608, + 500510126, + 671598983, + 139123889, + 785838650, + 379374873, + 716035110, + 872044039, + 484066807, + 989612403, + 461694203, + 775602517, + 218838353, + 875792058, + 33867579, + 933397012, + 522608098, + 216309358, + 329121625, + 177106220, + 637802175, + 350247683, + 844547807, + 940709000, + 346048746, + 290250106, + 968866774, + 161597607, + 768195103, + 58505166, + 32900023, + 338375820, + 556421718, + 76248023, + 41995721, + 549987599, + 244399892, + 849274142, + 595939651, + 945344988, + 598166365, + 36333655, + 639618451, + 291657944, + 648687969, + 665108397, + 533410149, + 358540868, + 953573587, + 23654932, + 385598096, + 511558822, + 635878929, + 92669199, + 338239109, + 1968200, + 324219589, + 460225572, + 83797323, + 399477579, + 767484235, + 72943413, + 817172043, + 622088648, + 297014300, + 559777741, + 400733495, + 567381573, + 316822394, + 670337563, + 440849889, + 424316492, + 928735702, + 11135142, + 736166633, + 226935708, + 511299781, + 869028841, + 76386821, + 185044397, + 203840501, + 849568548, + 929061039, + 397506720, + 917668881, + 707705820, + 94020547, + 720205535, + 116343383, + 760546644, + 840650871, + 269058338, + 676549444, + 305519727, + 81283930, + 44599886, + 982109252, + 218523367, + 509773021, + 17601199, + 61019207, + 521169580, + 881984673, + 252756814, + 843069783, + 413969701, + 392919285, + 569085672, + 543023698, + 437063203, + 749546438, + 165615908, + 303223088, + 450476051, + 833393957, + 540585510, + 61751110, + 523868793, + 101540208, + 309965550, + 260885279, + 690068322, + 339324520, + 2536007, + 836162524, + 286481832, + 756299103, + 985098606, + 838212743, + 86172744, + 460877868, + 838240924, + 151361892, + 155831196, + 339316299, + 40126174, + 808510734, + 967054151, + 169759797, + 425259750, + 483503932, + 110076694, + 726671125, + 11128247, + 939467108, + 676770720, + 477989613, + 108746709, + 409692825, + 161429, + 704745446, + 576604155, + 396723152, + 740711235, + 208780959, + 189806806, + 781194653, + 357590757, + 245664726, + 663954754, + 884178372, + 673536581, + 439474818, + 241494156, + 590440258, + 730820555, + 849377991, + 610274520, + 739842370, + 188662207, + 21633954, + 21204918, + 792809071, + 597384884, + 838003, + 692051821, + 598490309, + 47527231, + 451166172, + 938191459, + 217038708, + 251302718, + 481610465, + 329366318, + 653318915, + 796758862, + 849401800, + 686450842, + 746104860, + 316156443, + 663285112, + 887850459, + 726480935, + 304684884, + 5431285, + 816906899, + 944450200, + 670917006, + 840235495, + 802749470, + 243580012, + 611425416, + 297842755, + 556869656, + 540460344, + 709202410, + 825864194, + 675565996, + 359272856, + 123476329, + 957035200, + 693068246, + 488097970, + 903303823, + 301254466, + 314710569, + 116813979, + 143217173, + 272431774, + 546425016, + 235212170, + 237041589, + 540300276, + 857060981, + 244519809, + 594112364, + 135694081, + 624672397, + 671242586, + 946244503, + 217417588, + 394206325, + 738586342, + 483831314, + 538678920, + 761561436, + 829886077, + 318196543, + 28441258, + 22892725, + 398618330, + 488330509, + 543754945, + 469429541, + 183368373, + 600609335, + 533858352, + 750778344, + 454506388, + 186053028, + 105116508, + 575705807, + 316543052, + 866457144, + 550971673, + 41457573, + 613620789, + 130218873, + 42906999, + 910509219, + 193371286, + 278807470, + 767361157, + 544724367, + 808389784, + 223473475, + 617692315, + 127298107, + 505910144, + 119555942, + 396017718, + 241902149, + 452030589, + 664170511, + 835375636, + 5513541, + 985440470, + 110319101, + 839615958, + 780039662, + 561723168, + 406757456, + 350268473, + 402673390, + 391760299, + 697270641, + 958172723, + 691445766, + 591664754, + 222846774, + 393388776, + 386115599, + 845012735, + 590631887, + 347372265, + 403591897, + 438651539, + 718809759, + 408020433, + 228864277, + 220005566, + 755297583, + 79600550, + 366284596, + 891886485, + 155579750, + 669716449, + 44149417, + 769506558, + 507560498, + 958712381, + 464654755, + 750087831, + 305855646, + 470848065, + 195552106, + 984948683, + 801677714, + 260747014, + 573689729, + 709479699, + 85813213, + 550855284, + 456965149, + 952099731, + 86512186, + 909783871, + 305367600, + 83653855, + 492305481, + 220339986, + 152701830, + 86356333, + 355688045, + 283283105, + 767971336, + 533444553, + 64357990, + 223762203, + 810452328, + 856772692, + 486580291, + 234022364, + 692126549, + 284846416, + 800407084, + 391491354, + 110493132, + 143435814, + 144206113, + 737927826, + 177289470, + 964069418, + 807199258, + 991796851, + 405130181, + 521394977, + 10153029, + 758766711, + 103840827, + 269458708, + 907505774, + 748754080, + 987909135, + 769253050, + 992326250, + 60170532, + 460228997, + 660674584, + 176256356, + 746301633, + 176785920, + 901243639, + 591262580, + 238791964, + 313854438, + 646426821, + 61372709, + 271183673, + 730764324, + 667940242, + 522893698, + 306922666, + 963518601, + 719497701, + 511238053, + 792973596, + 38210846, + 145681222, + 769285009, + 41849444, + 282654708, + 324751362, + 753566434, + 461756671, + 128695995, + 658178219, + 918668475, + 636977227, + 579322440, + 251035289, + 445169223, + 653629397, + 295710135, + 718166829, + 158844007, + 202285422, + 363560152, + 336454054, + 985228260, + 903149831, + 896421200, + 175351704, + 647920389, + 173554806, + 395527419, + 648818802, + 212496850, + 717363718, + 950166182, + 652157268, + 790567656, + 664001483, + 250664163, + 178536092, + 948246884, + 76465393, + 270358411, + 169216917, + 264446665, + 472146468, + 245619858, + 663044974, + 399884931, + 145578331, + 323066841, + 858890369, + 389188108, + 688795905, + 739539972, + 749979885, + 337257199, + 546083777, + 808484811, + 569201883, + 93622214, + 158285096, + 69122606, + 311875739, + 521644779, + 281459825, + 864180541, + 351157347, + 894274176, + 316359926, + 940220938, + 596129597, + 297379819, + 691929601, + 760956157, + 676716511, + 182710837, + 68190275, + 918780188, + 659917632, + 199005252, + 240220232, + 322435645, + 60073264, + 693518408, + 876301890, + 682197288, + 26525702, + 597810795, + 249008103, + 799015662, + 212174721, + 613600983, + 982652756, + 74473581, + 913959080, + 417073566, + 412100768, + 794764587, + 968414110, + 882387680, + 965950416, + 434210465, + 502366922, + 400518604, + 46008956, + 605045419, + 749202416, + 779167829, + 623461333, + 647555982, + 866099850, + 203150209, + 226388730, + 553301101, + 836619408, + 354950105, + 72680904, + 564618992, + 114834847, + 889854944, + 461902631, + 751635132, + 218525725, + 199142206, + 468790235, + 503333934, + 386376855, + 473897059, + 22606278, + 462696638, + 37664680, + 539687111, + 68636709, + 421314319, + 606814536, + 527095215, + 48625252, + 108377523, + 774100460, + 495874260, + 170541178, + 606459928, + 138271019, + 606178096, + 415725001, + 42289999, + 323923355, + 246465601, + 463433760, + 43349936, + 98175745, + 428112775, + 973600722, + 54320678, + 443004986, + 912001059, + 432491375, + 500500034, + 610850228, + 782112554, + 489838406, + 473916214, + 564607483, + 651542132, + 743811456, + 510511297, + 542074405, + 827372614, + 275679375, + 714174721, + 666667057, + 243794048, + 194083408, + 453344713, + 3186481, + 191456297, + 114111910, + 8901436, + 902632552, + 97360990, + 355433466, + 321409741, + 334218642, + 34768162, + 874679563, + 599562432, + 327839199, + 561162956, + 982319509, + 906074583, + 502930966, + 639065454, + 66663035, + 369531303, + 745264257, + 286417380, + 856383917, + 844245914, + 167700358, + 686897263, + 582914288, + 959409042, + 102406331, + 670852921, + 475068010, + 90124231, + 822852182, + 388649993, + 593832152, + 978151987, + 760788562, + 657416548, + 509857307, + 546382285, + 894172760, + 156584440, + 989943503, + 851726772, + 355572809, + 800343926, + 736372943, + 328615724, + 113805508, + 767260877, + 29632189, + 987799753, + 841442124, + 961461708, + 873364018, + 870206544, + 507765516, + 240113662, + 278797723, + 168568221, + 929135436, + 436994410, + 339597166, + 683260107, + 423436730, + 715493918, + 29801064, + 813279110, + 194229730, + 768976552, + 635954105, + 187889545, + 649005278, + 819470720, + 782283413, + 136367365, + 846819819, + 822523417, + 676850861, + 605927240, + 425342768, + 693387962, + 215659489, + 91308991, + 326614122, + 35993236, + 653025994, + 39294006, + 681029639, + 643265784, + 141946960, + 274299338, + 374683627, + 655964129, + 53438925, + 43216486, + 96469738, + 935152243, + 640430379, + 202171881, + 564622714, + 53391157, + 583468612, + 564276090, + 867590036, + 470349095, + 696328919, + 871808684, + 822474465, + 10247420, + 983933554, + 12137987, + 993119653, + 745849596, + 205495845, + 348075851, + 501848456, + 579259063, + 39662520, + 158352555, + 785474152, + 27696700, + 332332066, + 398529123, + 350801354, + 375228051, + 438337853, + 379875833, + 74833051, + 826022928, + 830062858, + 250082452, + 366130797, + 333360242, + 904880266, + 314254371, + 93324061, + 180094465, + 881972601, + 667110101, + 865823739, + 618712528, + 908519795, + 152878769, + 54073080, + 820372262, + 166947144, + 425674162, + 704792001, + 596270524, + 134581294, + 519749734, + 381556435, + 322555407, + 639679156, + 630392817, + 251095722, + 809173544, + 911111797, + 527533502, + 197735671, + 97364901, + 6143952, + 378847016, + 598383936, + 826734937, + 61404480, + 736842472, + 188253236, + 261007009, + 712428649, + 221046394, + 933276184, + 65311264, + 270984916, + 144918227, + 953597411, + 715522938, + 944071606, + 207503820, + 355282974, + 203552759, + 699820562, + 436965322, + 766789006, + 214318436, + 418128416, + 729096956, + 552561546, + 38929059, + 845580904, + 583709418, + 250384331, + 683849708, + 62348429, + 798590697, + 4670685, + 591916337, + 67155108, + 555407878, + 694019357, + 907006372, + 844231432, + 33213593, + 826535175, + 823021636, + 519560095, + 951073944, + 739013562, + 184042498, + 113875005, + 255626099, + 267520754, + 318529875, + 462363525, + 558653472, + 139137281, + 966249478, + 480578571, + 395269159, + 454410974, + 411777165, + 232625548, + 150053061, + 700459784, + 216743798, + 956446203, + 58589393, + 729939378, + 907810110, + 182352455, + 474873731, + 292261258, + 627610774, + 870998040, + 68993090, + 812373918, + 208252523, + 1462802, + 886272994, + 578445219, + 445142556, + 356133043, + 721200673, + 696651197, + 478465676, + 100157201, + 192267884, + 730178374, + 157043646, + 518610253, + 710262822, + 310566485, + 58218031, + 517133682, + 620081754, + 379987514, + 921332226, + 885964726, + 426470265, + 305758900, + 953921383, + 672159126, + 629466289, + 907582591, + 491056826, + 872032101, + 390539114, + 776851092, + 474722564, + 982071829, + 873176795, + 643172955, + 465546526, + 213552732, + 512597633, + 927367174, + 155500029, + 989512396, + 595709292, + 403012782, + 182461896, + 535383087, + 101330504, + 40560197, + 71413773, + 84286873, + 886863395, + 719306966, + 835555835, + 607672717, + 111020325, + 173075978, + 917615181, + 85777874, + 366661477, + 390183771, + 730090322, + 803114421, + 697194701, + 134660112, + 405808910, + 168181595, + 250941569, + 166335089, + 664542136, + 136683298, + 970811053, + 520909604, + 854109579, + 197117053, + 838977026, + 813323178, + 285216868, + 592390147, + 396839261, + 468768647, + 335633385, + 815932334, + 771959530, + 911012089, + 855090098, + 237361326, + 906984036, + 890747369, + 862860007, + 385000335, + 749551593, + 144128209, + 693424168, + 343418343, + 947736626, + 757132713, + 795766995, + 240207773, + 770537517, + 336061826, + 28843243, + 498408247, + 312723364, + 73094130, + 826671366, + 990680311, + 148679413, + 343989786, + 548239600, + 101227779, + 768800513, + 288373497, + 644575924, + 162101554, + 690766879, + 336415725, + 193261721, + 608855925, + 212105816, + 539787258, + 117260041, + 823498865, + 308298318, + 842853951, + 932270762, + 434073915, + 11806936, + 800538444, + 397541198, + 235101348, + 586987999, + 300648795, + 931643204, + 940019881, + 736295324, + 803492521, + 13444041, + 118760167, + 296549620, + 832491841, + 925796429, + 995655514, + 79153792, + 91576135, + 453639024, + 751367548, + 929530299, + 696923392, + 258691256, + 650482476, + 450970111, + 506893987, + 407063922, + 886320217, + 462254032, + 425601504, + 765670266, + 739054002, + 415210863, + 84618837, + 994132003, + 392498747, + 924277851, + 368659679, + 892345370, + 844697374, + 501570416, + 82230036, + 122450583, + 695284737, + 642298762, + 496384781, + 658667253, + 248123296, + 377339701, + 766232423, + 268426645, + 651376096, + 250682373, + 143050214, + 96814932, + 857737218, + 974274506, + 797516365, + 484011918, + 259721501, + 267384060, + 501104478, + 201105573, + 484971205, + 671204930, + 25631703, + 865434490, + 738334545, + 673098877, + 883269559, + 575235436, + 439186722, + 325136987, + 625333751, + 716290796, + 192576972, + 562520268, + 104334510, + 126041472, + 814745627, + 883553365, + 778006804, + 845837255, + 847775280, + 398674356, + 576000096, + 280477878, + 539015963, + 456166735, + 99386071, + 705359096, + 784806774, + 996771230, + 302418112, + 596607932, + 450537959, + 802945012, + 496112740, + 193698235, + 178509021, + 926661593, + 404145477, + 794128852, + 426552958, + 943003584, + 441213367, + 508991477, + 183153542, + 798429200, + 547707004, + 291871557, + 146229116, + 339500331, + 870409554, + 44825864, + 782737645, + 992115859, + 983853501, + 378366774, + 126060004, + 502530551, + 410584054, + 736167388, + 878335839, + 140190021, + 599630565, + 958589494, + 176081815, + 233543648, + 703427482, + 851077133, + 533270426, + 572709956, + 369964648, + 747354837, + 733856411, + 161111097, + 645478535, + 841761031, + 572422458, + 896429025, + 673317578, + 117459974, + 487071495, + 892723364, + 672910687, + 995895271, + 810130950, + 767425784, + 939308310, + 762908395, + 126537753, + 829215166, + 424102144, + 471153582, + 608370445, + 703104229, + 206132265, + 545780814, + 2796834, + 187130270, + 667673201, + 367411375, + 792999065, + 951187149, + 970861953, + 565922876, + 957834689, + 722980043, + 60161992, + 845510673, + 201245573, + 89012483, + 555372967, + 166682261, + 271818650, + 966875233, + 871801498, + 431872389, + 632149895, + 241655358, + 735589394, + 318387988, + 434979895, + 333559128, + 873751675, + 235319292, + 709128644, + 382387768, + 970494639, + 151466850, + 390402311, + 74811321, + 302859390, + 918968723, + 542509286, + 408269165, + 432576277, + 299348486, + 965340232, + 945063776, + 776904042, + 314814357, + 917537217, + 445226053, + 361690019, + 377854611, + 806438813, + 874356011, + 953408592, + 88758728, + 629721394, + 394560786, + 467327936, + 978591162, + 625189536, + 84483516, + 625765117, + 320081860, + 55459587, + 481004160, + 182883637, + 697078908, + 455207330, + 297193843, + 908466859, + 180042859, + 891381601, + 474646235, + 822804297, + 902589720, + 430815497, + 764848479, + 26075048, + 517571004, + 857293532, + 950364011, + 543570376, + 497956348, + 287840258, + 46407443, + 323241241, + 167499937, + 626120819, + 275790081, + 283275808, + 990213455, + 509150790, + 950317751, + 582775954, + 623727075, + 243781058, + 935120728, + 319461014, + 845484719, + 943580950, + 136505467, + 140991699, + 863177744, + 385813298, + 952788056, + 365289916, + 752343863, + 531845344, + 379702328, + 884056060, + 23981423, + 999573993, + 28561136, + 617221273, + 678371576, + 368125140, + 734782184, + 549020851, + 187150746, + 839029028, + 225603459, + 868042164, + 935844717, + 599650410, + 647290056, + 324236734, + 817906739, + 141316591, + 88764454, + 101591548, + 40209308, + 666924417, + 910129813, + 812234058, + 345891800, + 130302855, + 654126196, + 693355571, + 778968941, + 872322011, + 449346707, + 227619445, + 116339776, + 536960818, + 825573405, + 141979913, + 793990758, + 73629194, + 425304557, + 755327124, + 880296659, + 462748754, + 164926548, + 9361391, + 846731182, + 634305279, + 195342500, + 653982201, + 152399071, + 725829319, + 102725646, + 779809543, + 569692954, + 753792875, + 749250577, + 140447952, + 484077933, + 971334335, + 108026300, + 568415611, + 825623100, + 175344578, + 512518839, + 613395639, + 125910018, + 444380637, + 772803195, + 574240869, + 440931800, + 778183222, + 316832677, + 546355408, + 572386009, + 120387577, + 332579685, + 314434990, + 771095260, + 691989790, + 166788753, + 618493741, + 94787043, + 535294483, + 134014637, + 63135069, + 573694892, + 993253034, + 756149954, + 890921510, + 747382767, + 220740219, + 70331102, + 448492709, + 128317721, + 656152344, + 274077342, + 188473908, + 871453827, + 945610115, + 789688342, + 609795213, + 283398208, + 980704757, + 232881411, + 615546559, + 441828414, + 858067773, + 905437065, + 949516905, + 814364405, + 64920716, + 189705642, + 30473638, + 277876935, + 319332043, + 908735102, + 22304275, + 35414842, + 588613415, + 468919456, + 701931309, + 361552819, + 116587596, + 804355479, + 644629337, + 458577604, + 409287006, + 317347166, + 107964507, + 748673668, + 503393422, + 799914420, + 457321105, + 11964948, + 819876582, + 516938402, + 155329154, + 153523346, + 320507364, + 512086134, + 647534999, + 870225804, + 953312735, + 792736853, + 585450092, + 573324524, + 504264838, + 944363572, + 791335959, + 980812765, + 653508220, + 19780945, + 601844626, + 51810991, + 454887031, + 156216758, + 158578915, + 164507871, + 455462420, + 868225095, + 525263462, + 857664008, + 536319681, + 937116595, + 607766166, + 555805768, + 741721519, + 432722554, + 76416192, + 459042702, + 268869898, + 368859267, + 518800977, + 803028566, + 946183403, + 664274029, + 986174087, + 378015499, + 563181951, + 314884474, + 16704275, + 234822475, + 122640601, + 435492063, + 217836461, + 392364179, + 477934791, + 286509734, + 699541673, + 143435145, + 574740945, + 632999480, + 599243982, + 539537864, + 285584280, + 241321950, + 850680887, + 99822252, + 997008170, + 340053751, + 44841560, + 120445549, + 747390411, + 612142224, + 306863536, + 271866773, + 4279523, + 786506700, + 104778935, + 550809450, + 259291966, + 771566343, + 794959554, + 834502131, + 141352047, + 659784828, + 683953636, + 518986060, + 511554741, + 493606043, + 163779078, + 773261369, + 343282959, + 23040400, + 340085981, + 839972836, + 297381677, + 536951838, + 353572825, + 416762909, + 393487177, + 795382144, + 759241069, + 649753264, + 435041754, + 816641707, + 460444709, + 747996722, + 680123046, + 543020478, + 949293494, + 686692738, + 692848656, + 152511843, + 851367726, + 834837008, + 148696234, + 703227859, + 446736724, + 285327443, + 311612749, + 770022775, + 92171284, + 468972874, + 614757249, + 965618081, + 442273032, + 779796203, + 725221300, + 829474811, + 822329157, + 638885601, + 249094144, + 866393753, + 501542622, + 544326778, + 833374080, + 558102947, + 806000249, + 155187883, + 628860967, + 672321290, + 460096696, + 73698378, + 7609235, + 398681639, + 650129125, + 559125644, + 429643918, + 946654182, + 297389479, + 162982966, + 545386539, + 320066077, + 607903064, + 800667396, + 433348977, + 975444296, + 894944829, + 641544745, + 264327659, + 829688217, + 449088405, + 525696858, + 881923008, + 682682314, + 772670330, + 632257526, + 544151439, + 680748951, + 314168151, + 218980153, + 250359, + 725506909, + 330060892, + 365560805, + 7570396, + 113793202, + 700329762, + 640334633, + 177002449, + 340193573, + 245509781, + 831988077, + 226270173, + 100113585, + 973495055, + 452955372, + 719750472, + 596764799, + 286080670, + 132975382, + 848017770, + 763241118, + 106167406, + 80069461, + 275409312, + 138227937, + 127959675, + 52489594, + 77425962, + 359147853, + 490272267, + 692741955, + 260222264, + 976469822, + 154336131, + 730617779, + 111351429, + 813190014, + 3818031, + 22270227, + 921464503, + 601288662, + 477458257, + 12055801, + 306931187, + 331144732, + 906559065, + 90984380, + 975003679, + 369678981, + 11489379, + 859964362, + 625071750, + 249614149, + 915046031, + 348954827, + 363727948, + 579779793, + 493581796, + 948567040, + 265371504, + 154729605, + 387808411, + 828796810, + 581718364, + 327614067, + 710508897, + 782332160, + 155538252, + 976389310, + 928893857, + 34746898, + 293679122, + 448638550, + 829414294, + 794870870, + 549938955, + 589479191, + 740374868, + 376448556, + 81879798, + 326071974, + 963294609, + 637429938, + 847038364, + 69703514, + 853193074, + 278658240, + 713777245, + 344786130, + 600289795, + 69302356, + 649051643, + 918713653, + 674426680, + 571187767, + 506003956, + 383455497, + 92965884, + 793227045, + 728442281, + 762841203, + 818406435, + 746501933, + 653090944, + 789798178, + 449664138, + 916927573, + 732498028, + 824414298, + 199492636, + 798758454, + 294594632, + 431349221, + 102168853, + 513516416, + 191476263, + 210400567, + 256052903, + 816165162, + 853409622, + 928799826, + 994918325, + 932553146, + 555309709, + 752418717, + 349456191, + 824199850, + 217706720, + 763624030, + 565002191, + 75969580, + 574427774, + 978865287, + 567191805, + 408960864, + 482004040, + 110685283, + 432271847, + 557668078, + 824224432, + 18648175, + 10364359, + 964873152, + 186303998, + 855902190, + 180753696, + 557619158, + 218770707, + 110855367, + 215938652, + 315449814, + 330333255, + 610724021, + 736004060, + 644963692, + 455765239, + 479242282, + 132436626, + 834518337, + 560627114, + 181236259, + 725732205, + 822876330, + 202481807, + 945303569, + 637213095, + 968758262, + 624037207, + 996252948, + 814471981, + 993950132, + 848328985, + 88621655, + 674533178, + 509213230, + 408182794, + 489403380, + 855274501, + 433822427, + 316910125, + 834253047, + 783788744, + 983682609, + 562627094, + 664776664, + 29300829, + 298515518, + 94249560, + 861406458, + 765718952, + 460741726, + 38478667, + 789221932, + 499806861, + 187072569, + 50533955, + 218763282, + 242244907, + 447699842, + 247651345, + 455887629, + 81445289, + 69440507, + 345050016, + 661703186, + 420269540, + 28486810, + 899255912, + 964521444, + 753835929, + 785643732, + 676846047, + 792056985, + 547386165, + 764590656, + 906296127, + 186742188, + 766974237, + 451266309, + 153295625, + 143052523, + 330870232, + 308403090, + 219314918, + 797942132, + 177333740, + 798291908, + 687113329, + 986363035, + 106003676, + 91292166, + 478132781, + 59185106, + 665272528, + 382825735, + 815080387, + 42614377, + 670164987, + 26673845, + 254627834, + 126189754, + 638141412, + 497019130, + 314237757, + 289495368, + 715947466, + 371238411, + 7712945, + 117291204, + 799004181, + 491068825, + 571243388, + 78395140, + 245840863, + 975682698, + 783797669, + 874671231, + 60644705, + 383135238, + 245307795, + 599721489, + 768368921, + 427804442, + 977707058, + 721684026, + 501471154, + 452073492, + 526721976, + 434178626, + 954201161, + 858516051, + 557698322, + 672754934, + 787250561, + 54294394, + 323760529, + 973072222, + 874481693, + 617919028, + 25619748, + 257854483, + 716977858, + 975390957, + 648611819, + 792912088, + 84268966, + 99675491, + 395744592, + 324574014, + 705929169, + 730770477, + 456168081, + 239013564, + 112971413, + 408453987, + 528737752, + 986748237, + 783830279, + 444790318, + 189958744, + 640940618, + 98089799, + 248482809, + 490543308, + 94547776, + 428055548, + 988840089, + 566655153, + 691098228, + 680052681, + 374524429, + 351439019, + 280642707, + 45258087, + 925672261, + 883517522, + 730956688, + 406335493, + 428668327, + 328122645, + 440108814, + 833232513, + 347965985, + 951214961, + 246576132, + 487135476, + 897335554, + 145826579, + 4153090, + 120348453, + 520506407, + 515789724, + 239270928, + 766863208, + 433573730, + 735781430, + 663190755, + 687435807, + 281340660, + 307350535, + 22807841, + 998543632, + 27678536, + 400573950, + 139758604, + 841031690, + 72083718, + 355204718, + 731558862, + 80232386, + 764216166, + 378226759, + 6590466, + 122577154, + 520707179, + 675228003, + 853419648, + 906300791, + 206639514, + 251667329, + 872665542, + 251023013, + 81222771, + 694960433, + 863374689, + 802359235, + 367993107, + 640518336, + 73138984, + 246668022, + 450527982, + 705011681, + 220937348, + 591834622, + 672487494, + 189477688, + 399071972, + 922982397, + 72039682, + 720248062, + 822781804, + 383709297, + 910025432, + 529839663, + 488370958, + 662172394, + 751075197, + 593328987, + 517816533, + 248879161, + 838734853, + 628645670, + 730786537, + 905632059, + 398310529, + 957844463, + 722680819, + 123468267, + 196576455, + 801306672, + 227115055, + 813551158, + 570937279, + 632863735, + 617777033, + 594655585, + 500783104, + 928642093, + 266920967, + 822959292, + 16929881, + 821819524, + 510255305, + 38417798, + 606281844, + 943236692, + 824901300, + 154313914, + 597999642, + 172015391, + 413900566, + 324883491, + 208807703, + 926319416, + 148127959, + 483561730, + 258127069, + 425788563, + 954949545, + 565596283, + 159900286, + 593150465, + 80157665, + 435073345, + 617655458, + 400406327, + 150047010, + 895166013, + 979817919, + 16229942, + 25267872, + 605644018, + 250097234, + 466404922, + 723175020, + 243833686, + 635163298, + 418155738, + 936195886, + 682870098, + 613331213, + 44855373, + 225442293, + 935853134, + 765005793, + 616399381, + 138150741, + 168602641, + 311468523, + 160425349, + 585114807, + 314999581, + 615413171, + 699315554, + 273595672, + 782374020, + 731329388, + 27571834, + 263501243, + 235809533, + 18319048, + 84337407, + 646403120, + 70853526, + 152629256, + 395829989, + 126637532, + 95852831, + 613452484, + 366311003, + 556033697, + 161818222, + 500297330, + 323632654, + 38791842, + 163857061, + 307890520, + 795238172, + 408691296, + 908105130, + 390436065, + 273367170, + 149080851, + 832557043, + 490600497, + 888851427, + 814516515, + 486774766, + 526423285, + 17648515, + 428683307, + 219929549, + 176261595, + 712330270, + 101128825, + 17395307, + 616476515, + 105186333, + 822195301, + 633190682, + 97825498, + 297906695, + 41255667, + 863388094, + 485453900, + 705880444, + 517933085, + 9496792, + 606366884, + 21264073, + 342317826, + 894785865, + 70646775, + 894789376, + 602136402, + 623393174, + 737339635, + 237810328, + 798572845, + 661346178, + 619571380, + 782295742, + 534169457, + 814768557, + 976459095, + 938042590, + 637575226, + 998561150, + 38733597, + 603446004, + 128048862, + 102691584, + 88186388, + 607725678, + 601645764, + 627183143, + 809918753, + 9019218, + 30700310, + 79866920, + 272325602, + 410772466, + 621411835, + 591638797, + 974633922, + 93713353, + 939400650, + 443690755, + 63675484, + 472567819, + 521139099, + 152419538, + 524715632, + 191438956, + 890859059, + 6776185, + 410514620, + 634064515, + 461037548, + 153177353, + 71715029, + 596828341, + 299799933, + 351940389, + 485048407, + 73381106, + 399962708, + 533549030, + 486255852, + 234047647, + 177904353, + 733534195, + 902062469, + 51387293, + 338709975, + 55086399, + 429933177, + 42008961, + 718442739, + 710363516, + 701401527, + 870290139, + 230927094, + 218726850, + 267847101, + 542710036, + 619333613, + 520163519, + 596540243, + 95910354, + 227987541, + 246514176, + 342616342, + 414536786, + 174731113, + 13166335, + 595463336, + 474574065, + 741628842, + 853984814, + 191427497, + 355033646, + 832172400, + 485220046, + 582881830, + 189251335, + 155405597, + 197624559, + 219672220, + 357672047, + 477103121, + 30599531, + 193885334, + 621544420, + 888666534, + 460978028, + 611775697, + 522227088, + 221600539, + 447657224, + 327741726, + 4681497, + 864291818, + 792345197, + 370889184, + 3088514, + 184696579, + 205959930, + 265559999, + 577302387, + 807543710, + 391756066, + 576828242, + 72987057, + 989920511, + 314386016, + 152062047, + 594009914, + 115608194, + 456930663, + 154582844, + 119404200, + 113371582, + 724063568, + 91833821, + 258794394, + 732793783, + 779727530, + 458586870, + 910348859, + 315750027, + 220339839, + 633017744, + 724304452, + 69037982, + 583033272, + 543073665, + 468716946, + 81589049, + 573295824, + 236836322, + 507657707, + 337665054, + 118688975, + 829969275, + 753055263, + 498802642, + 199171788, + 549863309, + 254384291, + 153530620, + 418789160, + 927313984, + 238331378, + 424935219, + 902316678, + 495222809, + 229471851, + 378026205, + 464217119, + 801581009, + 130479389, + 767157009, + 774403995, + 637281114, + 493257789, + 204871255, + 301915766, + 677889777, + 748407210, + 811275181, + 70395693, + 670233365, + 36237643, + 43601191, + 735804133, + 544535916, + 844762402, + 986068938, + 139938271, + 133994273, + 70957955, + 87815522, + 944270058, + 65628194, + 602793543, + 411346059, + 477739472, + 262570885, + 149034197, + 768689248, + 477286635, + 246924545, + 758606531, + 614265782, + 172834893, + 203902236, + 530807736, + 710516721, + 614376769, + 513669671, + 564838564, + 948384349, + 576197673, + 756807006, + 203467953, + 482131019, + 410651561, + 8075234, + 542435180, + 861894166, + 354921318, + 849911051, + 374965441, + 656504971, + 673398195, + 321603851, + 508559559, + 666425310, + 139473879, + 725260578, + 646527600, + 71559376, + 485798556, + 494517224, + 70570882, + 881080110, + 145830712, + 45584510, + 760141449, + 58086270, + 989161278, + 91913872, + 455414313, + 607947484, + 443697201, + 473253286, + 190792892, + 539988137, + 272312561, + 120213283, + 667039206, + 252227644, + 454622880, + 230093467, + 670861284, + 335977983, + 606867754, + 942341353, + 119138127, + 275792218, + 872423222, + 256767769, + 688869188, + 412830432, + 666061505, + 34056885, + 486508402, + 304245646, + 520425309, + 297965032, + 902342160, + 279750017, + 414268144, + 373504707, + 352536494, + 897795358, + 421593790, + 497149101, + 457245073, + 311106536, + 209627416, + 974667934, + 857451410, + 518944075, + 704347711, + 686308345, + 452117020, + 630884991, + 697920509, + 889413515, + 86325168, + 311152926, + 12944262, + 903718354, + 373581411, + 907056144, + 224419446, + 571503820, + 416816088, + 500105118, + 524915246, + 860498701, + 637806023, + 842035640, + 150885990, + 845814940, + 133191617, + 975576855, + 140279040, + 82681598, + 55666894, + 899066753, + 84925764, + 813390881, + 653654736, + 383555701, + 243973356, + 785888732, + 898368549, + 676698366, + 409545517, + 127776642, + 170942373, + 110613328, + 907575394, + 57725516, + 578796935, + 898879104, + 719387965, + 848199954, + 810694395, + 485586935, + 194697880, + 103261032, + 388608624, + 212448228, + 758319212, + 320238790, + 207418497, + 116782895, + 712535663, + 608991064, + 785525144, + 640712525, + 290880051, + 204774784, + 745379105, + 946507383, + 897881131, + 95134397, + 839869677, + 199605242, + 831197201, + 952372187, + 758287260, + 164261043, + 462119008, + 917235640, + 801565288, + 479658551, + 291295002, + 841441181, + 77370219, + 80451679, + 820806338, + 928390924, + 605768067, + 956162233, + 472247286, + 88726465, + 113520311, + 584596704, + 285164432, + 158223781, + 371161392, + 583068369, + 96203622, + 344386584, + 493822891, + 980160473, + 207899488, + 676897580, + 981979477, + 110359846, + 354663452, + 795504923, + 583125272, + 581970434, + 148533286, + 988869933, + 430275343, + 924061921, + 79353698, + 708120443, + 34428812, + 40783187, + 758991760, + 873834321, + 824270967, + 435256467, + 115677896, + 89558488, + 917227465, + 993511910, + 654309058, + 682174716, + 594488997, + 131607160, + 950561348, + 527327559, + 149032197, + 2722355, + 512817369, + 897582713, + 536888657, + 768280450, + 736861636, + 851400453, + 668458582, + 742990947, + 450713365, + 690386373, + 560704577, + 761497608, + 98764977, + 967549766, + 691733464, + 11369445, + 956105927, + 633021371, + 842789701, + 615377050, + 337044466, + 10340756, + 951254477, + 446625120, + 534348725, + 244816494, + 589392264, + 778821682, + 47972684, + 936991886, + 131451834, + 959074307, + 897009421, + 636348630, + 45787785, + 796612757, + 420498906, + 621931126, + 939646302, + 945877640, + 704013299, + 836059618, + 157902250, + 12137207, + 917175178, + 645928709, + 689195401, + 749082265, + 830288681, + 210856714, + 21876957, + 773711408, + 2160241, + 582583932, + 576772702, + 312088390, + 717371973, + 250569050, + 87009367, + 415718718, + 689396212, + 78261207, + 586827105, + 691946546, + 460254495, + 969657205, + 827075437, + 523426374, + 830150103, + 677574592, + 746880962, + 133790703, + 500979678, + 243682379, + 68807879, + 276258182, + 282271171, + 145450917, + 461967913, + 410782807, + 9997560, + 759041342, + 451813440, + 418333589, + 329220693, + 370380393, + 665109197, + 457808869, + 828104299, + 974490211, + 29049982, + 329288650, + 395289146, + 392539004, + 174502709, + 577613442, + 895109517, + 75277104, + 297907604, + 130809399, + 340628735, + 437101900, + 619523178, + 712921322, + 815166196, + 321130095, + 668107469, + 216326609, + 857094090, + 575685758, + 747966894, + 539800968, + 70190863, + 511042315, + 147078166, + 455830025, + 27134580, + 907253912, + 764659204, + 571286601, + 318663285, + 315301684, + 171722844, + 398651801, + 260985793, + 434898432, + 916090203, + 909161211, + 594754113, + 620026481, + 241919805, + 622058598, + 671332560, + 360924856, + 328204549, + 840070920, + 862153014, + 970563959, + 858278262, + 873267813, + 718861951, + 417000171, + 887921966, + 456637430, + 948217321, + 734977215, + 525207712, + 244170579, + 396813836, + 34742954, + 500523373, + 847983383, + 85164499, + 940979703, + 584348100, + 822897974, + 707251941, + 704031467, + 974411837, + 44515729, + 445208519, + 422971647, + 338291197, + 809369816, + 942266851, + 771209737, + 111984565, + 773787912, + 67870169, + 58724598, + 691861919, + 235108551, + 772555639, + 138875457, + 230002801, + 925306119, + 309320776, + 402847394, + 176931448, + 403379594, + 999075680, + 514530717, + 528489616, + 763515118, + 297519964, + 476860890, + 267976428, + 973237854, + 671161092, + 120302790, + 128300636, + 162891793, + 873091755, + 553782187, + 32923232, + 365872215, + 435257964, + 504098887, + 945516462, + 190992407, + 296729058, + 350414400, + 303132348, + 932166574, + 53207399, + 969965802, + 382237064, + 244346859, + 359648425, + 41797209, + 934790097, + 261443606, + 484209773, + 771447287, + 989781717, + 726556473, + 999104715, + 438710144, + 321829015, + 406220601, + 648721877, + 254237969, + 65014417, + 7415832, + 939850242, + 613061069, + 907366704, + 616698690, + 600726324, + 844645737, + 886477842, + 863229716, + 254598129, + 99040456, + 723959456, + 922624637, + 147799631, + 484665906, + 356550204, + 983563017, + 758122872, + 866198363, + 375809858, + 556139810, + 834491346, + 410248745, + 931403479, + 490467639, + 554659450, + 897856179, + 739214920, + 161500438, + 283151294, + 892067565, + 131783173, + 604190423, + 891836579, + 650389206, + 349474614, + 359297948, + 467261265, + 839275372, + 951096686, + 3618722, + 978909775, + 700723532, + 892681586, + 340320558, + 365491991, + 220058940, + 666772318, + 39511707, + 750257253, + 668850299, + 32913987, + 975794017, + 922629816, + 349520006, + 701146330, + 315372714, + 118661482, + 907868479, + 747236776, + 47913721, + 747499008, + 425394755, + 924349351, + 973040113, + 412260701, + 312818803, + 158073712, + 208107491, + 328555737, + 325407118, + 836910890, + 895921453, + 549993768, + 373119081, + 726802565, + 490589828, + 758064638, + 779431824, + 850848033, + 446942668, + 202185650, + 334450820, + 745591594, + 167343711, + 114800147, + 792606757, + 408362842, + 8275247, + 753731054, + 422438491, + 381891911, + 400984128, + 524481208, + 57773056, + 683163894, + 571479950, + 235112092, + 152127344, + 97092228, + 439909624, + 333760915, + 977902177, + 861867260, + 666752643, + 942837155, + 738359525, + 523645912, + 391600118, + 444799705, + 445698445, + 634914783, + 220027628, + 708584818, + 160975257, + 484872522, + 321462316, + 433918545, + 773258017, + 964607727, + 174660043, + 570120687, + 653935897, + 244346789, + 355714095, + 783655287, + 110402401, + 743463181, + 783110991, + 102109035, + 803604025, + 55598292, + 252075884, + 387655319, + 431384653, + 795830605, + 18371316, + 561401438, + 721974197, + 114951709, + 307683925, + 272091573, + 923769490, + 473232910, + 529901166, + 962744357, + 208041383, + 772820073, + 38924308, + 416999242, + 317930293, + 368798422, + 661204508, + 71615221, + 440506677, + 28658788, + 582591679, + 295708085, + 79872400, + 453580063, + 674704917, + 752482745, + 936620702, + 763009656, + 150904461, + 316884143, + 65003366, + 17757695, + 883204543, + 870548686, + 210816309, + 68159514, + 941087745, + 943784067, + 508947193, + 822170877, + 95224195, + 473499561, + 763563129, + 123621955, + 691346549, + 147905724, + 750579535, + 326704800, + 108508276, + 598368341, + 159872989, + 819389483, + 582005783, + 365930006, + 231482203, + 774918057, + 188782617, + 972744542, + 542985121, + 980578995, + 106753758, + 230408583, + 450315597, + 734005159, + 824775738, + 664240161, + 919813251, + 870439061, + 131546678, + 717594900, + 393935891, + 323152376, + 951206089, + 342153812, + 564440003, + 305242461, + 681717990, + 508319647, + 43248030, + 357762160, + 392296333, + 658524714, + 310008709, + 899819862, + 759846170, + 174734585, + 945980858, + 614667479, + 692441556, + 492486077, + 741100596, + 87423365, + 920010658, + 191932439, + 319112111, + 744253714, + 233566239, + 371466185, + 833059978, + 837786401, + 213001560, + 890978300, + 602925497, + 537077284, + 318169276, + 703638730, + 113388369, + 327031614, + 109616158, + 518763281, + 996938235, + 541672322, + 892108842, + 530623004, + 287427600, + 91136705, + 322843887, + 932443835, + 896854247, + 553968266, + 574014113, + 200506112, + 31368682, + 203384892, + 914462254, + 461288372, + 661680098, + 557388811, + 331052462, + 195184116, + 604472224, + 292709557, + 256938315, + 331300418, + 544890368, + 887095271, + 439087278, + 568073466, + 973742352, + 126514013, + 591989927, + 295182847, + 246378620, + 824495449, + 384896537, + 282204798, + 711054013, + 815652987, + 182740342, + 537606479, + 204652739, + 109295182, + 685626696, + 428968117, + 314993047, + 997881891, + 935030561, + 441057273, + 4353999, + 986116423, + 436237489, + 994008535, + 765275720, + 152583328, + 973121224, + 861895335, + 679716567, + 267568710, + 826367153, + 498133032, + 104824745, + 809900454, + 604052174, + 647251685, + 469978089, + 343636177, + 993938230, + 277103936, + 755134612, + 194765050, + 522870822, + 9525929, + 453305080, + 705532921, + 788485133, + 654223745, + 240893473, + 433368860, + 396151139, + 876287545, + 942016004, + 394400976, + 183139770, + 753439935, + 16482884, + 74153928, + 105673088, + 131274640, + 931694829, + 536944066, + 531676448, + 525433121, + 538687978, + 302733709, + 385252157, + 655585847, + 349116304, + 640856465, + 714351334, + 180059136, + 229734664, + 875477147, + 469158939, + 334520211, + 706095306, + 576960779, + 612414569, + 706412438, + 782438352, + 893949503, + 49116056, + 550270449, + 167631187, + 697446117, + 559953143, + 724260299, + 206241044, + 465177151, + 570167383, + 315518577, + 996344793, + 520403556, + 557066833, + 98848892, + 321195504, + 971639911, + 934958853, + 393689587, + 387592688, + 956746161, + 734055765, + 449070542, + 406847364, + 422924355, + 39836533, + 388598133, + 293266517, + 335387816, + 728694242, + 47830415, + 452991846, + 638177062, + 886640939, + 202323072, + 489195779, + 472310824, + 47825640, + 408019857, + 211507981, + 889089313, + 892640149, + 624189735, + 437064264, + 352937136, + 853713602, + 6067973, + 785197831, + 773881007, + 867265480, + 4956879, + 596633406, + 780207028, + 748228620, + 898302151, + 460979363, + 228769532, + 90321207, + 37352606, + 8960766, + 176494791, + 213376174, + 23814436, + 229889863, + 512672198, + 437684568, + 252998119, + 113051724, + 122697921, + 897395992, + 261421594, + 357358272, + 508851149, + 388019548, + 752197510, + 927176796, + 147305254, + 504013831, + 299110426, + 855718982, + 174679512, + 948426736, + 308682504, + 758088227, + 388759491, + 39233858, + 870257119, + 631716892, + 875762971, + 961337489, + 275336469, + 567491037, + 70837343, + 423185407, + 808657161, + 283442286, + 188018029, + 531029166, + 616706714, + 19525019, + 901426336, + 650671043, + 159072103, + 578395691, + 913972117, + 713326385, + 424410997, + 442579801, + 444632696, + 612580972, + 547212086, + 935533347, + 708473952, + 227550807, + 185371338, + 390550725, + 885709273, + 162554710, + 236329027, + 737727317, + 292515306, + 754737813, + 576986482, + 368191796, + 674146645, + 629861908, + 221241874, + 419138508, + 865992131, + 470210619, + 388968498, + 117441066, + 663599400, + 440054224, + 317997809, + 847999017, + 60996199, + 872942093, + 758308133, + 939793521, + 841522295, + 975926622, + 357940627, + 142623708, + 596234994, + 18583713, + 463502293, + 356463841, + 432022553, + 662876960, + 499701618, + 842266814, + 77325287, + 976888172, + 35662175, + 384624082, + 54677330, + 896748893, + 812531415, + 304982948, + 299773502, + 180910260, + 84737821, + 266748056, + 351269052, + 258959313, + 269077203, + 516661597, + 675065566, + 941948350, + 845239224, + 706257059, + 389346998, + 373900824, + 143552267, + 916697086, + 965307886, + 514298947, + 672208212, + 644662089, + 556539008, + 974107352, + 213882084, + 19516788, + 104788722, + 935197979, + 655462594, + 861656211, + 46853438, + 462526007, + 40434493, + 187907463, + 792235940, + 268196122, + 221134340, + 303619783, + 107932346, + 562464196, + 394815099, + 962935155, + 487984872, + 640006630, + 378786662, + 304058729, + 987348000, + 380627871, + 173849265, + 878860841, + 771259305, + 908390158, + 994368444, + 356609090, + 808012215, + 805162786, + 244571652, + 574003351, + 471362130, + 770732387, + 851832213, + 492118381, + 396068109, + 645269811, + 953974643, + 433427989, + 403252528, + 363297296, + 144538220, + 573166509, + 772899924, + 318677830, + 562559350, + 28648918, + 924578676, + 570448645, + 192628492, + 489192013, + 709865314, + 331441340, + 131879515, + 25536171, + 713295258, + 659947021, + 615369000, + 554292120, + 18751696, + 472882353, + 271534333, + 265268256, + 58458586, + 105392515, + 694419840, + 832379790, + 903173330, + 272584733, + 121136076, + 971535805, + 608776376, + 631015627, + 738969536, + 151669569, + 481186921, + 974608718, + 536103525, + 113424074, + 352035245, + 572293276, + 622977803, + 612798337, + 913667652, + 896074838, + 900986348, + 10057748, + 425048234, + 831569974, + 164931289, + 869332833, + 390461801, + 119287882, + 948612153, + 835054941, + 64873963, + 687448147, + 624228437, + 644532673, + 402947762, + 906052358, + 346258454, + 243148458, + 793263317, + 841958256, + 116453136, + 121191887, + 140556429, + 4369793, + 886273109, + 354040573, + 568974011, + 189182379, + 159605555, + 703511977, + 9931825, + 292307826, + 813415209, + 568236278, + 873330311, + 414456726, + 898411775, + 320026589, + 655576635, + 330224625, + 379642089, + 124549144, + 566740044, + 424176299, + 451978714, + 899312974, + 147693843, + 11293260, + 903161519, + 54329462, + 97761597, + 910290025, + 488269707, + 974943903, + 654561394, + 66789580, + 185836296, + 671685132, + 202424624, + 98712859, + 656528823, + 349734464, + 616762264, + 348232843, + 113961305, + 699801092, + 176099971, + 963153669, + 287175030, + 624479822, + 989632914, + 77246486, + 660526733, + 400321950, + 440471877, + 118187333, + 17093199, + 358701044, + 305134918, + 482666284, + 656700235, + 257202705, + 61749441, + 684565902, + 853324820, + 952924805, + 759079919, + 447728929, + 704796880, + 138347922, + 128442580, + 848513077, + 181842935, + 936335087, + 134225379, + 304807785, + 802256003, + 604343865, + 968659146, + 801616700, + 787992113, + 425994249, + 933219240, + 830613508, + 384577294, + 219398608, + 663274838, + 367959059, + 751585434, + 374451877, + 711650619, + 380979143, + 796039877, + 261936184, + 849421496, + 561652520, + 146515690, + 18966445, + 898417520, + 953464208, + 378947621, + 202188167, + 888873533, + 504328276, + 843880531, + 795814922, + 494802316, + 524341068, + 870423704, + 432494876, + 842614832, + 443855379, + 306557581, + 528800162, + 732194326, + 887304987, + 332627822, + 233189462, + 504981122, + 51043141, + 370655737, + 760647539, + 654183225, + 543312427, + 436562325, + 678034729, + 490818356, + 304272740, + 594795867, + 952458368, + 463662700, + 410880627, + 844398133, + 891532866, + 149505404, + 819410272, + 280422395, + 119417016, + 786445639, + 409925014, + 814498446, + 506342168, + 896590252, + 156561716, + 718291297, + 768622089, + 474118039, + 731459452, + 843034720, + 290700353, + 629020904, + 613879173, + 710953464, + 256823005, + 388590875, + 559425222, + 582365718, + 622038039, + 508872286, + 790380106, + 539376522, + 234445354, + 355752633, + 574341270, + 792483628, + 74469735, + 969077063, + 802599764, + 565480416, + 272038720, + 438083990, + 669040030, + 380589503, + 41209055, + 886071850, + 432083638, + 22727062, + 845724656, + 643704692, + 844898512, + 384220220, + 285447924, + 4581843, + 737871565, + 646129020, + 383525703, + 96912955, + 860501922, + 504658773, + 72470098, + 73121062, + 907485123, + 537352080, + 136447333, + 45796825, + 377346461, + 496868167, + 339949169, + 616379205, + 973383965, + 292405637, + 252247048, + 374986262, + 514647041, + 399905614, + 358416417, + 765942818, + 943953522, + 4498282, + 741498589, + 747136108, + 786765548, + 111312900, + 954793679, + 185355380, + 370175835, + 587557473, + 978160583, + 888214355, + 991614966, + 121732191, + 557029992, + 976594545, + 658421606, + 207983658, + 159822950, + 734973550, + 370256822, + 628924226, + 157495767, + 828427629, + 745894413, + 671258756, + 75945124, + 695212356, + 533366192, + 869140298, + 826855139, + 378475419, + 238501410, + 478038807, + 4994280, + 53132738, + 284723855, + 726357016, + 32025022, + 424450753, + 749368249, + 275261145, + 62201615, + 319919194, + 400241431, + 670589381, + 663528021, + 978605192, + 847423944, + 231328792, + 487460855, + 116972207, + 216081711, + 560612657, + 750648123, + 511879252, + 478800767, + 245837621, + 443807583, + 558051246, + 403293063, + 677078556, + 568598802, + 795677368, + 250736866, + 767634841, + 844340540, + 516489996, + 657385413, + 904593322, + 572775206, + 317272459, + 525961366, + 384875101, + 26942995, + 380425300, + 926918615, + 260054523, + 29307227, + 902738656, + 677701701, + 495538256, + 456393878, + 882205921, + 762758406, + 33086750, + 600257622, + 160741517, + 267120963, + 452037721, + 961995150, + 490012313, + 231610223, + 662918837, + 388870725, + 539804678, + 838374663, + 102637032, + 178519889, + 304645570, + 304811942, + 718473640, + 936119820, + 402905607, + 772924031, + 92172179, + 965284760, + 289628208, + 360104078, + 580074665, + 29769301, + 831118407, + 825456384, + 506597333, + 862822554, + 622079035, + 478571775, + 739483512, + 720483455, + 388219479, + 177790139, + 579345556, + 382665303, + 551567275, + 89669640, + 162407259, + 384436686, + 462628460, + 486745427, + 369067462, + 563926906, + 501939065, + 960127551, + 444901733, + 403088373, + 678464889, + 319988631, + 569898486, + 913165351, + 478794965, + 262898915, + 774209864, + 480797472, + 914837248, + 65985007, + 45334999, + 843201860, + 28801187, + 287147857, + 957408941, + 682861006, + 584734396, + 403167998, + 984362890, + 500257721, + 856594256, + 528244865, + 707771667, + 980330473, + 895780067, + 259593816, + 838878176, + 370105724, + 288103794, + 191702596, + 494661117, + 20984306, + 568021285, + 965006156, + 181689451, + 935848212, + 132594204, + 922827728, + 69205709, + 288507984, + 513473106, + 486202606, + 454899819, + 26712989, + 453310031, + 581797927, + 411141410, + 846737280, + 116186094, + 326106936, + 809216551, + 7904790, + 979453540, + 623208614, + 276850322, + 601119332, + 906540098, + 326844237, + 753465612, + 552654419, + 986772339, + 19625893, + 706199313, + 415911701, + 788213185, + 308397603, + 988533951, + 431347944, + 412465514, + 782755244, + 603663614, + 476126821, + 61695130, + 981233142, + 77947254, + 274331433, + 52418929, + 904936134, + 501957264, + 681624643, + 235282521, + 804211255, + 917569771, + 404213800, + 87393984, + 499260173, + 151875047, + 725077696, + 597278976, + 361567274, + 803133059, + 805938421, + 34131400, + 980010717, + 658453079, + 921693223, + 757242902, + 124392504, + 887449541, + 997215094, + 503504879, + 712282694, + 167788940, + 385176814, + 148560816, + 460435999, + 17770685, + 638683699, + 894985418, + 202167138, + 166771798, + 90833795, + 324801899, + 135810230, + 534063419, + 528883442, + 5418578, + 297833925, + 866775619, + 40397360, + 960978892, + 592548338, + 847356886, + 1555518, + 870467780, + 568670938, + 21484019, + 767019123, + 831880808, + 419743778, + 401709780, + 585321209, + 602328741, + 239667686, + 678774414, + 871766697, + 982157094, + 723025623, + 185987815, + 16794967, + 231875470, + 19535012, + 29551196, + 78683048, + 952378376, + 650248590, + 340006463, + 561579805, + 725312193, + 609386139, + 330947161, + 353651511, + 988732394, + 634512269, + 766168487, + 928516329, + 301920883, + 638821212, + 869863, + 253725908, + 550236729, + 536538077, + 666068409, + 162734673, + 479617393, + 894192806, + 857434344, + 225065026, + 805479574, + 280448059, + 249020295, + 985982865, + 242963396, + 629803986, + 801767321, + 548320256, + 869596227, + 796054547, + 42785693, + 299133898, + 119564049, + 918500916, + 785582245, + 876392600, + 513419541, + 629987577, + 251957943, + 4203079, + 103642626, + 567342608, + 207104062, + 433467317, + 647245271, + 556792645, + 135781044, + 518632861, + 915596580, + 151352267, + 326013750, + 908295636, + 582827035, + 843619929, + 675474129, + 98637462, + 807432072, + 662029376, + 864930166, + 896162238, + 506280992, + 710334662, + 942790440, + 517929066, + 565707417, + 351745282, + 73574527, + 895905491, + 60747584, + 445719563, + 627423167, + 121106616, + 601970108, + 336438994, + 511046097, + 108210676, + 481577641, + 668988150, + 683466633, + 100891880, + 166829156, + 869555218, + 633687078, + 535882477, + 548901998, + 189831315, + 190574456, + 321445186, + 33051332, + 774725834, + 40336098, + 77230220, + 902162081, + 23629649, + 715456076, + 225491767, + 99325036, + 515950352, + 182539137, + 200681118, + 863600358, + 755525690, + 843693099, + 180067637, + 880038208, + 57447722, + 807816398, + 559277845, + 651917444, + 831644488, + 461353630, + 384181062, + 790869964, + 994573122, + 388242985, + 547327588, + 708897084, + 837304021, + 180783056, + 949935527, + 368448583, + 890780377, + 199950205, + 110880794, + 585301377, + 955743462, + 574937080, + 118264911, + 821939593, + 507112373, + 997364290, + 39638195, + 205248970, + 119094607, + 965322868, + 914759182, + 785746383, + 345804065, + 226535253, + 41039728, + 527762043, + 935716369, + 358605920, + 815122306, + 445216435, + 46016383, + 693444718, + 350551322, + 674944064, + 75971740, + 696828850, + 157531252, + 482801380, + 54318649, + 771995061, + 823650335, + 46647383, + 205195520, + 221932471, + 901025882, + 940460722, + 600110429, + 213010087, + 901901108, + 476422036, + 933212644, + 851278444, + 622715957, + 885498355, + 404570115, + 888745486, + 302993661, + 693954869, + 798918378, + 684022814, + 142681512, + 559204485, + 361172828, + 807713438, + 209664299, + 2220957, + 164515215, + 500243067, + 35655138, + 606010734, + 816529147, + 966521020, + 803582292, + 812792643, + 612269348, + 474274598, + 684501887, + 153880867, + 508936069, + 979811141, + 91312745, + 456661887, + 229087949, + 551412728, + 875847185, + 797468147, + 29696038, + 558668121, + 569479686, + 370353401, + 128187570, + 141789601, + 149733650, + 424739900, + 312920971, + 670690512, + 332142418, + 499326763, + 646697894, + 60861033, + 982017679, + 481800619, + 988726053, + 260520863, + 971024431, + 706534019, + 383334347, + 810679944, + 959556974, + 322151962, + 819022877, + 240738690, + 928425654, + 542829222, + 614484421, + 643827079, + 557200418, + 195448446, + 635076710, + 504563405, + 526122381, + 643244062, + 157672403, + 397865906, + 84674857, + 874310539, + 254605353, + 520116039, + 22104821, + 767281997, + 56964284, + 369095497, + 910326852, + 345225785, + 469516968, + 891377978, + 218069747, + 705638496, + 45893085, + 434754547, + 50072380, + 533734857, + 466624144, + 772134005, + 977712198, + 791441087, + 135977581, + 491244891, + 8905165, + 758285706, + 119017272, + 205403768, + 191656029, + 264763799, + 403788431, + 818893659, + 877463444, + 220681599, + 244201127, + 695916762, + 254991858, + 18767492, + 305147005, + 282369903, + 35790819, + 460788517, + 142379579, + 3826478, + 772600802, + 576688051, + 641427286, + 6336143, + 86567583, + 267091593, + 883827807, + 446248101, + 565610354, + 489409297, + 399570192, + 145536236, + 68273487, + 350674863, + 416738430, + 269015064, + 973484181, + 486412585, + 55745012, + 656413820, + 855935579, + 50768655, + 954650468, + 581700177, + 81142000, + 393261609, + 221313720, + 105172558, + 955082278, + 656814704, + 796936512, + 569119682, + 916465700, + 73138269, + 575994604, + 122670924, + 283769295, + 91672758, + 8836646, + 798111447, + 869494472, + 10081545, + 345971998, + 151558007, + 546384561, + 765998603, + 148259907, + 294175221, + 764537384, + 252651829, + 164921696, + 475761936, + 704962543, + 881172678, + 510046750, + 825081809, + 255386896, + 883413581, + 11672981, + 293249102, + 436663516, + 590747811, + 655144299, + 465414875, + 350872517, + 413849935, + 256617155, + 854609058, + 473208340, + 904741096, + 24451213, + 664705897, + 641804971, + 200816220, + 101955852, + 809460348, + 527040452, + 995378424, + 226976910, + 625670396, + 226604231, + 963101593, + 598659826, + 757800005, + 960267270, + 142736970, + 764276006, + 379279245, + 931291005, + 355575411, + 573230158, + 355203734, + 911354696, + 152193850, + 908930328, + 77490475, + 927651905, + 840557449, + 335142359, + 855089445, + 663067987, + 349630148, + 681992294, + 841778835, + 36024968, + 127827073, + 851181847, + 510956210, + 484277277, + 726570974, + 440210209, + 770811001, + 701819816, + 708415798, + 329029125, + 438184284, + 903222420, + 488018929, + 173058245, + 617109011, + 703946029, + 650965030, + 675170337, + 124587861, + 100500242, + 713504201, + 660553188, + 866130313, + 602835135, + 565348498, + 240021297, + 249358644, + 803466080, + 702118784, + 12021438, + 386867951, + 607232630, + 892617854, + 188452174, + 361914106, + 239468732, + 327533253, + 725785123, + 916708655, + 954664314, + 658029174, + 490099756, + 753004095, + 940112358, + 856083429, + 875991579, + 879918272, + 992188119, + 744571559, + 480591859, + 49930022, + 696933384, + 415570059, + 791113918, + 345605749, + 887494816, + 762419054, + 247297058, + 435047355, + 984149638, + 647748008, + 654051106, + 891730422, + 641073991, + 995232890, + 968340265, + 644412013, + 869206568, + 824157175, + 876280817, + 666470387, + 617236728, + 912974728, + 631732778, + 752985481, + 408914752, + 891439896, + 812401283, + 372237824, + 765251210, + 748114865, + 923757928, + 641958286, + 118300761, + 28837725, + 826808481, + 391011768, + 697837032, + 877585709, + 96669488, + 351930878, + 62124924, + 427660118, + 772318449, + 150639371, + 614075926, + 211204966, + 164635391, + 524322634, + 252354623, + 268204551, + 168781852, + 351338206, + 297818516, + 956860163, + 160103377, + 115005732, + 95228405, + 334320417, + 346889324, + 705711797, + 763131388, + 456788898, + 930866840, + 522097137, + 407628698, + 549416929, + 38568009, + 675177355, + 288034371, + 186614316, + 672863454, + 752020138, + 422470234, + 568048671, + 404023313, + 385804581, + 442624771, + 156266992, + 442190102, + 979874130, + 219938693, + 570328058, + 797170644, + 685194615, + 222490790, + 746301825, + 28561130, + 329441498, + 677422605, + 715577752, + 330925442, + 787517815, + 486689726, + 62935579, + 301088322, + 297559764, + 75424756, + 963793789, + 343693807, + 116125458, + 811117538, + 255108074, + 270916867, + 870987276, + 180345171, + 178160203, + 547330966, + 740457929, + 327878842, + 804810298, + 12592611, + 731203452, + 892071263, + 679176462, + 818076080, + 183120509, + 507627471, + 54114337, + 657757100, + 109506958, + 956106753, + 701585778, + 642588361, + 250484878, + 444395188, + 135862881, + 862571231, + 140536973, + 534381602, + 375466866, + 734282985, + 670800566, + 378072047, + 469692493, + 931514100, + 683560260, + 605630788, + 878768880, + 581089872, + 671711794, + 683158797, + 700315545, + 792433778, + 237732782, + 630164771, + 70483599, + 140802674, + 405384279, + 542288502, + 748884049, + 751357403, + 141954625, + 450863021, + 252657036, + 353740427, + 752926802, + 442322355, + 579535335, + 406263693, + 898475977, + 891832837, + 592252750, + 190545028, + 801566452, + 687397329, + 215894673, + 507575640, + 288485930, + 640107226, + 613186569, + 924047538, + 66624226, + 878186500, + 709112790, + 622122539, + 331384401, + 12058216, + 485463591, + 462932653, + 325484648, + 621809756, + 471872639, + 540096343, + 958473580, + 544997776, + 114173477, + 316433802, + 8662414, + 845831467, + 264377298, + 14470438, + 846556828, + 671698635, + 579468539, + 639320030, + 240982578, + 842355844, + 454172488, + 552580382, + 283083808, + 668981564, + 293101323, + 895602262, + 4813355, + 207530083, + 301431738, + 780889889, + 408393307, + 120228756, + 668954804, + 986865104, + 629747081, + 606321137, + 402791225, + 283955189, + 35564436, + 602484554, + 338622121, + 784204193, + 148597861, + 227406318, + 440055844, + 566311735, + 128167847, + 829151432, + 689542755, + 607337137, + 733302732, + 221522665, + 258835184, + 596316179, + 624973760, + 637511818, + 303314679, + 169162819, + 429147635, + 826788001, + 672694596, + 578680350, + 490432063, + 935521734, + 91428443, + 882227790, + 862736242, + 452919606, + 451043172, + 251386733, + 961442264, + 518224035, + 801237848, + 536428097, + 248262660, + 663057929, + 433065248, + 634870000, + 662810663, + 399879591, + 61079136, + 512116799, + 609803265, + 313724657, + 217891194, + 482282523, + 669683161, + 199096124, + 22817740, + 499329399, + 579604923, + 936700695, + 769107124, + 165509763, + 790219959, + 912946570, + 319361873, + 452192714, + 754148004, + 204308276, + 888335813, + 559691923, + 492914699, + 931770357, + 709677162, + 365854508, + 66616040, + 694790830, + 657173073, + 619949657, + 395264561, + 413561727, + 100024944, + 218651029, + 469423616, + 755610858, + 106747916, + 950301288, + 690779466, + 315074253, + 206665365, + 283341926, + 927871722, + 724015964, + 959182210, + 521556122, + 984460220, + 157790948, + 448595300, + 864121929, + 987274867, + 256252463, + 314734973, + 805174901, + 727619569, + 930393156, + 200695991, + 231998820, + 20910271, + 461177505, + 116744704, + 337765102, + 622035637, + 267798070, + 549051367, + 2388137, + 955477512, + 856183238, + 898569242, + 449087121, + 530866563, + 998444564, + 535322698, + 46444835, + 801824231, + 757389454, + 168017261, + 450622813, + 219555821, + 914476766, + 339943366, + 342413253, + 231281861, + 481661674, + 580671010, + 492172316, + 690231827, + 264792898, + 15584009, + 738881519, + 773870215, + 971683733, + 931390049, + 237667396, + 705422211, + 373417233, + 165140694, + 369189177, + 826372183, + 231605954, + 363748446, + 639717562, + 409049362, + 713980947, + 280334434, + 981392349, + 399777582, + 755829009, + 641109007, + 533134352, + 569535481, + 21682908, + 844939003, + 685828737, + 158258779, + 906105379, + 885163131, + 817629887, + 390664337, + 559736932, + 857407745, + 895791430, + 61644251, + 652252369, + 306368789, + 26658764, + 152487549, + 269956414, + 961769444, + 32508691, + 6334457, + 964158821, + 981002465, + 62818981, + 154012940, + 127527378, + 511067661, + 785266628, + 707148671, + 151393746, + 469660087, + 106140478, + 24355594, + 773163319, + 870355633, + 3747128, + 407481579, + 664920250, + 203026174, + 75490644, + 744377430, + 888083312, + 427003259, + 848105885, + 779205612, + 760196905, + 91655303, + 253306598, + 670802617, + 798512115, + 488690673, + 912651182, + 33806091, + 443556127, + 408657410, + 693626500, + 603396463, + 968067468, + 856171867, + 438156029, + 465668780, + 543736088, + 58210182, + 507845865, + 543139986, + 288282290, + 547218313, + 657330476, + 314357582, + 172465593, + 131861636, + 120498931, + 831030663, + 706244999, + 784450012, + 405247240, + 905901697, + 988475100, + 592772849, + 152048730, + 496571747, + 10729427, + 479220090, + 886749715, + 236584527, + 302307453, + 857547289, + 790314590, + 662877952, + 928773332, + 563923659, + 444695288, + 953546734, + 440431494, + 666250429, + 525167525, + 499158668, + 804968843, + 788445114, + 859279639, + 620293519, + 273538467, + 768978503, + 119658213, + 384082735, + 380183391, + 474086152, + 148778391, + 413767607, + 331208031, + 686466174, + 288280417, + 887150731, + 261089601, + 128966417, + 335234238, + 739921472, + 755510742, + 851145826, + 846854168, + 970589759, + 210592544, + 863516323, + 511389397, + 498676806, + 485632885, + 310488689, + 496308739, + 446766243, + 313392030, + 683165700, + 458634852, + 985195469, + 571160578, + 634717501, + 927139864, + 660572169, + 846223365, + 447562542, + 197594910, + 86064939, + 548028712, + 867946698, + 658662840, + 184888848, + 512950751, + 196554925, + 415719629, + 152853144, + 712516794, + 858566445, + 700068655, + 138560952, + 854295280, + 587268778, + 423111961, + 505813685, + 782671381, + 813274411, + 896266162, + 634457289, + 610099420, + 391868110, + 812312549, + 385523785, + 200203568, + 352125688, + 636215684, + 773739372, + 501155314, + 851827232, + 571918818, + 25742386, + 675469179, + 563816638, + 163858581, + 100057886, + 243000712, + 354690779, + 248578498, + 100645915, + 78989658, + 83071524, + 109218658, + 760013953, + 946950680, + 944023293, + 258156395, + 92495178, + 743732570, + 988132844, + 926826307, + 638980712, + 38521659, + 547286674, + 571530061, + 972452170, + 766209055, + 628531330, + 790825436, + 732898574, + 740988095, + 640600812, + 172711939, + 702643911, + 507923808, + 468802022, + 172421986, + 319890421, + 867851747, + 173861881, + 262384081, + 886671671, + 610973456, + 667355424, + 974054228, + 375074980, + 564122415, + 231128793, + 72554370, + 535459111, + 474381993, + 182981706, + 517319067, + 509513506, + 494611742, + 4897063, + 699491899, + 129399804, + 999313432, + 962822023, + 200754663, + 899941705, + 901370838, + 722703112, + 637560343, + 990874954, + 456490914, + 449768343, + 879869079, + 163189837, + 909356788, + 239378938, + 698804488, + 901814188, + 214164624, + 371313036, + 959244468, + 878798600, + 838638448, + 117832645, + 753168762, + 677002913, + 380091873, + 674844527, + 727246001, + 274227621, + 150490961, + 990518587, + 974003486, + 266181675, + 282301597, + 972167040, + 235131399, + 303099385, + 496369837, + 156910344, + 446693346, + 169837278, + 278740440, + 120476105, + 883493641, + 255982150, + 876774726, + 931733168, + 895299922, + 111869257, + 265661307, + 526368643, + 908827021, + 768010066, + 961656742, + 345715707, + 996053311, + 940050577, + 451100326, + 199538628, + 422028476, + 54620178, + 446049680, + 24224780, + 212456562, + 839562968, + 807229590, + 799398765, + 857819575, + 799093093, + 158422129, + 108036875, + 188881270, + 942431236, + 897907739, + 527430463, + 288042614, + 507451625, + 195292203, + 182034877, + 283705774, + 941855340, + 852650717, + 146287004, + 546829202, + 736949755, + 848882374, + 237263872, + 237531841, + 457759661, + 562460584, + 205827234, + 660216366, + 5876517, + 509207609, + 616995849, + 614927607, + 463436470, + 597962170, + 45410610, + 995574661, + 290368112, + 552981521, + 461600589, + 124387933, + 269481951, + 772732477, + 564704342, + 507493304, + 253602786, + 79019496, + 281895622, + 193900081, + 53028975, + 967930747, + 589330673, + 131089561, + 904854366, + 591395509, + 519102039, + 157978136, + 704842741, + 660831025, + 242312781, + 995605429, + 808039878, + 7599648, + 208419789, + 895122834, + 777804599, + 675799176, + 4969659, + 466556598, + 547403399, + 6800609, + 336795970, + 56611159, + 796274480, + 462472734, + 942953663, + 775263954, + 984364692, + 737444285, + 977402653, + 789013026, + 775065362, + 421780275, + 980222510, + 682764376, + 150018198, + 686630403, + 875195119, + 492340963, + 265431490, + 868035037, + 835675657, + 895631763, + 352488077, + 149537863, + 12955227, + 970294698, + 535870627, + 231497858, + 612751675, + 188746129, + 919206881, + 80513552, + 570775999, + 409410748, + 667027650, + 981402501, + 372954447, + 571672319, + 85518137, + 470088602, + 10641316, + 368628823, + 16200275, + 856510839, + 931277696, + 60248852, + 572844943, + 561732605, + 936488166, + 762174959, + 283482872, + 142568518, + 343420712, + 79899936, + 700895578, + 454618924, + 618947151, + 810135880, + 26145878, + 290952596, + 317714509, + 10358530, + 517443353, + 928069211, + 243237140, + 756109419, + 630771020, + 792204435, + 600129567, + 933392418, + 309929763, + 718681869, + 209558404, + 414346032, + 845235605, + 451688597, + 590039639, + 225364932, + 868822505, + 562043201, + 117553030, + 453207679, + 881484264, + 236598664, + 893583022, + 606421640, + 778785360, + 544451503, + 235240939, + 710694655, + 353205797, + 107913432, + 543774486, + 582138670, + 635583512, + 506917698, + 203028967, + 501643484, + 710028233, + 363656922, + 73848638, + 941450014, + 836594971, + 541953461, + 985120451, + 81792045, + 614885093, + 31190508, + 661388997, + 378063153, + 222362426, + 440922778, + 583458319, + 778989574, + 389675147, + 272327624, + 357584148, + 376691650, + 129559305, + 256007202, + 111472662, + 256685519, + 159057007, + 971637971, + 51025795, + 561444464, + 84015802, + 654993487, + 182015179, + 704791697, + 23809205, + 61515549, + 475187587, + 268766005, + 383431515, + 675516060, + 505566653, + 607547089, + 998153221, + 354921480, + 129837825, + 767458434, + 220768027, + 825317094, + 416034834, + 317386751, + 134699936, + 652542258, + 903775459, + 991987514, + 409484773, + 60380519, + 774316886, + 611776551, + 168009533, + 295245211, + 173485485, + 618512776, + 173822021, + 261306222, + 322432117, + 516745068, + 841487040, + 608726123, + 750719132, + 281848606, + 879065244, + 463836917, + 10884985, + 764728353, + 639450782, + 131494384, + 653909997, + 328840753, + 779949934, + 49481494, + 677930328, + 733172154, + 560094917, + 365333213, + 663572332, + 914132032, + 182281371, + 731327710, + 865935225, + 364083380, + 709981690, + 292386635, + 34426291, + 757838178, + 581828752, + 206598244, + 7610163, + 17503622, + 199029497, + 271253890, + 774298741, + 672332343, + 281576999, + 139250078, + 373206626, + 127152059, + 540760969, + 786049200, + 1519567, + 262843266, + 254311643, + 893976612, + 325888497, + 388257927, + 381866694, + 44616252, + 533342122, + 126616385, + 428290997, + 656348225, + 839706703, + 140225250, + 776414387, + 5585369, + 603872922, + 930943271, + 88745964, + 803208724, + 186303258, + 48742589, + 576898900, + 571841658, + 786517719, + 108212747, + 81457808, + 876632901, + 860384833, + 941688372, + 569021731, + 149715112, + 352671952, + 712511884, + 326807220, + 347586542, + 533738626, + 448380399, + 74427558, + 808796802, + 22239895, + 564733321, + 86765650, + 707340043, + 280205772, + 363644332, + 385105936, + 975914745, + 154890956, + 917663344, + 135706182, + 512211962, + 492333532, + 711583469, + 306230660, + 231745094, + 242927153, + 400571572, + 479157853, + 12493947, + 961848809, + 631521147, + 260077021, + 972167508, + 668303273, + 590741108, + 927320855, + 707316102, + 290285216, + 562117649, + 711678647, + 204317108, + 108119281, + 926449912, + 29062264, + 725932470, + 949659538, + 877569940, + 375181432, + 463267263, + 363056520, + 679759736, + 121435625, + 246799508, + 669340566, + 538810977, + 306554737, + 253144594, + 795522177, + 50372655, + 223768231, + 949512332, + 821304193, + 966460199, + 578516795, + 796621954, + 972661636, + 765349915, + 676762072, + 103816652, + 139450104, + 486619174, + 191472832, + 60890087, + 679830563, + 575164020, + 837976493, + 195758697, + 472046089, + 774991289, + 341631016, + 212017104, + 511732970, + 329859088, + 656930908, + 160117272, + 98495046, + 626501224, + 316013620, + 893977108, + 333934960, + 367819380, + 938350109, + 995501121, + 719857176, + 430151380, + 45686052, + 53428336, + 360812305, + 505127177, + 21533336, + 723497633, + 41336295, + 517331646, + 110666859, + 735805309, + 637549244, + 576008193, + 171012526, + 995521287, + 678471898, + 433300543, + 456993412, + 45333492, + 338074584, + 108454846, + 946637457, + 566655824, + 444851619, + 770004731, + 590527992, + 329831278, + 899215721, + 691744857, + 342323767, + 583334479, + 217839633, + 680572771, + 583806058, + 426854024, + 991463760, + 315530042, + 3913938, + 204852870, + 668207150, + 164975995, + 761618770, + 640584119, + 378462827, + 171753637, + 299727009, + 852209928, + 452870623, + 942682863, + 433191544, + 473571336, + 874051939, + 765282733, + 143881903, + 417777563, + 844866587, + 492141878, + 416800245, + 25078759, + 749181968, + 748966612, + 666550937, + 438249682, + 355995823, + 773179235, + 311334761, + 928691412, + 100708785, + 884135793, + 338266591, + 467122858, + 822645419, + 813247111, + 14879782, + 188413542, + 268442580, + 547104173, + 490328337, + 989052803, + 52096881, + 370681143, + 429705426, + 9189120, + 229223464, + 529264284, + 608626725, + 808120390, + 636226430, + 429778900, + 746587764, + 27175542, + 912310102, + 717423387, + 26237452, + 996066465, + 956174421, + 184705179, + 770960734, + 971790063, + 254812302, + 240721654, + 907655248, + 729368194, + 669295083, + 869490044, + 919283892, + 100158327, + 789158938, + 975674178, + 636734872, + 472727144, + 436118720, + 687369217, + 633730754, + 84978723, + 828216160, + 792530015, + 225778297, + 188408595, + 777436975, + 341272909, + 13092671, + 994044427, + 20974526, + 426672291, + 140293702, + 712891415, + 597637840, + 421813799, + 881848724, + 993694452, + 922937813, + 152886100, + 481906564, + 747244962, + 145770989, + 412516565, + 105969233, + 784024866, + 162250925, + 418015540, + 125547103, + 236337926, + 454160683, + 102945238, + 453180564, + 589035943, + 93796238, + 474812029, + 278924856, + 114572044, + 862793713, + 551889684, + 820843540, + 105897919, + 863191679, + 817608931, + 841528657, + 395233466, + 157437476, + 132945006, + 399927719, + 654966331, + 344893043, + 875455676, + 647293190, + 76325574, + 25411520, + 186928820, + 972607494, + 385236299, + 542052728, + 793891288, + 731067874, + 808320406, + 407087831, + 19105987, + 15495524, + 595083548, + 744036445, + 246674508, + 924340504, + 534757679, + 576097441, + 525974073, + 548817096, + 708350740, + 553508699, + 87044237, + 279100717, + 906030297, + 350063466, + 614204558, + 19246739, + 11831662, + 154849782, + 187043054, + 495334305, + 95048459, + 793512123, + 510578650, + 350798022, + 856099026, + 798468381, + 455649803, + 602533760, + 610936216, + 303585791, + 589834693, + 761905071, + 903904692, + 742279999, + 170696339, + 279424629, + 476060064, + 888095491, + 192050070, + 84142635, + 626464706, + 279077548, + 58065529, + 113702357, + 656242511, + 171440259, + 668939809, + 899947794, + 804575974, + 531464659, + 866396337, + 647867480, + 922614254, + 193061292, + 647090655, + 442994985, + 812864332, + 380915517, + 733016226, + 683244276, + 699047713, + 198840581, + 725077937, + 366031371, + 639053940, + 817938660, + 378455836, + 852902849, + 60225041, + 703806579, + 170749223, + 696647746, + 875129828, + 885222977, + 683439174, + 291447198, + 287525287, + 959434763, + 996872855, + 169441342, + 614467745, + 356962909, + 244063030, + 557343149, + 355857953, + 150661551, + 948851345, + 29698306, + 326028964, + 708336687, + 107652271, + 177546313, + 684799865, + 638406306, + 196419888, + 911746604, + 340874785, + 612900208, + 855609897, + 451903372, + 881462907, + 206127427, + 229998355, + 346917126, + 694068970, + 121633114, + 741354165, + 152935159, + 484166457, + 196531653, + 619894567, + 390712194, + 344821207, + 772250157, + 263491712, + 146287106, + 865193633, + 47371164, + 556335327, + 605213454, + 168079108, + 23060429, + 704603889, + 85177015, + 366719725, + 818907135, + 122378211, + 703798682, + 328411040, + 683158068, + 489665260, + 172915715, + 71684679, + 945383699, + 920030102, + 279977272, + 54163555, + 457756518, + 118075789, + 348803324, + 601528285, + 711650619, + 119420506, + 191899130, + 438716898, + 639527244, + 645136884, + 265075376, + 922176578, + 891006050, + 567473580, + 102061155, + 840235902, + 811145259, + 636089505, + 386029975, + 998869729, + 162873773, + 348991673, + 49637179, + 225570860, + 890937767, + 88084600, + 542833900, + 458339028, + 162587544, + 773809302, + 899579923, + 332929066, + 770136031, + 418730503, + 952830489, + 221680398, + 653805852, + 697760781, + 998075532, + 571869827, + 299590545, + 501941095, + 230437750, + 515858494, + 436251217, + 431323955, + 354149405, + 480160156, + 341410161, + 249105471, + 304620439, + 147698371, + 719292790, + 477126636, + 422108517, + 330676475, + 887316971, + 490033984, + 606919780, + 373801273, + 345174033, + 784228086, + 152396876, + 648223286, + 928411220, + 261481730, + 996228585, + 553865360, + 983667404, + 943354259, + 766121054, + 60920616, + 570291250, + 562832031, + 711643057, + 646741085, + 429179648, + 845405466, + 868932865, + 213685978, + 618782673, + 46147872, + 680347298, + 768671587, + 474118820, + 871570096, + 850207349, + 890225268, + 21975411, + 468205185, + 532370177, + 322398059, + 979427189, + 368408284, + 897357146, + 712619859, + 264062891, + 513628272, + 244637469, + 338908968, + 384576389, + 958562677, + 707789508, + 253830005, + 119623732, + 580636375, + 450138362, + 951049246, + 864552823, + 526905486, + 346056815, + 227505520, + 739579256, + 328655604, + 694647750, + 93035742, + 970956280, + 599110152, + 489614687, + 253220215, + 483834753, + 853541464, + 64819895, + 491025962, + 375846015, + 608810189, + 541845267, + 574836617, + 840495010, + 57416689, + 775700255, + 213932135, + 495092677, + 572863042, + 365019412, + 887230762, + 803744113, + 363346409, + 338361299, + 624100128, + 105844903, + 140346667, + 442584969, + 242989970, + 888763991, + 282869829, + 545002258, + 625728729, + 640623548, + 368207580, + 384401734, + 456201992, + 79964077, + 178673941, + 967345882, + 714112795, + 368958080, + 872096350, + 584264646, + 233800405, + 359281307, + 405256054, + 803315590, + 929565069, + 263415255, + 947985265, + 753204637, + 575904934, + 270590247, + 293818423, + 460675624, + 153083546, + 706102978, + 536810763, + 921519181, + 115542993, + 117972319, + 430165879, + 905026567, + 889033577, + 627894745, + 999162063, + 289151607, + 575993992, + 602044487, + 575739554, + 374800074, + 853742089, + 17696438, + 856456879, + 923021309, + 944446022, + 915564768, + 414802849, + 691675604, + 283675551, + 727557613, + 548790640, + 648014782, + 483713699, + 563747119, + 73642924, + 935760491, + 16529363, + 925453877, + 238426343, + 447760382, + 613530313, + 311695550, + 959379696, + 530605434, + 934929149, + 253603769, + 427331977, + 143714389, + 620506994, + 122306381, + 855613096, + 237628629, + 893428467, + 733217943, + 687111275, + 475490308, + 786949123, + 292310842, + 470784713, + 970667122, + 613657461, + 550068946, + 329927758, + 621581424, + 964197548, + 961755402, + 138518147, + 720468683, + 364322468, + 513699901, + 953053497, + 483097399, + 252575178, + 715262115, + 924198454, + 14202756, + 323151032, + 307740192, + 679128964, + 417424863, + 418254686, + 150089771, + 731232550, + 57915470, + 289389066, + 849051578, + 288758271, + 750622140, + 906262607, + 598845872, + 419157074, + 910958545, + 437307376, + 796859359, + 910689645, + 124121895, + 977625773, + 161859296, + 868931214, + 524749267, + 191495816, + 22828034, + 693241399, + 846412502, + 720800051, + 38345478, + 22239635, + 596445876, + 993233257, + 575146571, + 292935050, + 951756400, + 207342876, + 756816907, + 890147733, + 962438281, + 88635936, + 461112149, + 288541210, + 356713615, + 18030775, + 300585354, + 404921150, + 298756368, + 643454680, + 604509324, + 280353550, + 343382812, + 644824944, + 628528571, + 796898361, + 705625502, + 348241584, + 522971638, + 940272105, + 670030665, + 622504408, + 209633423, + 829446576, + 733724305, + 14894230, + 332404192, + 764183346, + 697936798, + 836996598, + 193429817, + 805321524, + 129774688, + 152867419, + 117270009, + 116270730, + 117139643, + 515643885, + 134167237, + 899429301, + 743846486, + 744600807, + 347219890, + 307537067, + 917631171, + 85981471, + 618737441, + 202423707, + 710405065, + 827939943, + 432067578, + 539495006, + 262131951, + 252496944, + 345784693, + 236447727, + 262682314, + 353176975, + 295532328, + 592943438, + 840152109, + 844629580, + 787669253, + 760329907, + 875736812, + 30610988, + 715521017, + 890962779, + 502154232, + 651168504, + 101205061, + 500047281, + 462411760, + 847338160, + 850378956, + 552866732, + 628781920, + 591983596, + 61596028, + 75629339, + 291843338, + 899688657, + 563158737, + 368618987, + 465314095, + 211096072, + 999967088, + 957607158, + 624558566, + 393099126, + 923712184, + 538722309, + 209291051, + 833820368, + 187648852, + 588007414, + 93789131, + 134491654, + 896624597, + 278302996, + 352212860, + 222887368, + 407041294, + 395364959, + 473592941, + 919154164, + 766873386, + 887733147, + 891045623, + 466627342, + 476636199, + 555705674, + 221525483, + 167430190, + 205397526, + 338453757, + 457177682, + 984120762, + 507269785, + 714309866, + 826892208, + 955298543, + 609340947, + 208419625, + 357825463, + 153123096, + 24550810, + 237104917, + 298945784, + 300065436, + 134875197, + 206048146, + 977579488, + 248048864, + 178230290, + 325419049, + 636194574, + 200233705, + 884312428, + 469853719, + 521244654, + 43757586, + 477800356, + 131815190, + 9614230, + 125623341, + 160204613, + 723487045, + 393429860, + 506138861, + 748050087, + 216505622, + 428745880, + 439246633, + 105122793, + 360152691, + 739398116, + 703421232, + 762710670, + 4417631, + 875725545, + 671919113, + 646075898, + 417051068, + 152729620, + 827152007, + 419992279, + 274906062, + 368805966, + 578243597, + 431701844, + 540996826, + 368503054, + 100223834, + 6925639, + 743141532, + 996743454, + 695902999, + 799972435, + 646077527, + 367027618, + 684275681, + 28111611, + 707790299, + 685875956, + 188913153, + 549609958, + 490388077, + 945957236, + 447950510, + 291655772, + 198834480, + 240207540, + 56375478, + 135863869, + 943149081, + 539646972, + 686309760, + 836040569, + 355733037, + 399272693, + 665414869, + 274836968, + 430053169, + 153002161, + 310363854, + 300394656, + 316177227, + 959585470, + 329656715, + 937787755, + 501519571, + 69604089, + 770752234, + 604575731, + 203220648, + 605030278, + 17100666, + 103316888, + 116278407, + 848868553, + 466895933, + 452479604, + 658014087, + 518548113, + 785697004, + 623718719, + 911844408, + 119916554, + 289109913, + 387393605, + 366826161, + 612856139, + 387454134, + 824823204, + 148377151, + 24454695, + 796794540, + 406969543, + 478181644, + 877997627, + 537965862, + 450502005, + 530769405, + 680094712, + 626391642, + 190621038, + 572693169, + 550322291, + 752392934, + 115769903, + 474236550, + 604659760, + 596891387, + 915964502, + 168088390, + 896487687, + 345711288, + 400778763, + 201531907, + 416556819, + 704691152, + 715057004, + 350379569, + 70462847, + 360366358, + 187692237, + 236998184, + 224780120, + 515382569, + 82313641, + 100610642, + 396804862, + 687587314, + 674809803, + 240515064, + 74628245, + 88090338, + 505331229, + 772477834, + 834663801, + 612434551, + 451217973, + 288657377, + 218544844, + 338188426, + 304417961, + 14231615, + 712809294, + 116516621, + 285351867, + 403395180, + 944326705, + 480253888, + 886586784, + 982679369, + 535862762, + 40617365, + 104969351, + 659375448, + 278843628, + 412242163, + 974950668, + 980115132, + 292049327, + 713052852, + 598654269, + 37795526, + 243754245, + 454807965, + 865082013, + 53568663, + 69480470, + 776517001, + 484528574, + 760849623, + 709451648, + 720441103, + 645073903, + 998112091, + 283866198, + 276871890, + 30472217, + 177787664, + 470895394, + 273713889, + 274537717, + 822413671, + 595361545, + 875765540, + 273220472, + 302089729, + 719203317, + 882176885, + 896698022, + 389471897, + 879478738, + 454212763, + 498852814, + 512452185, + 975874049, + 605125368, + 613225374, + 88811777, + 682164229, + 830174441, + 95002362, + 172035520, + 315347889, + 742060259, + 901871503, + 756086464, + 706816978, + 470646800, + 681319058, + 771198083, + 707991185, + 411575008, + 522778711, + 327198309, + 364574818, + 191718788, + 314794667, + 199694872, + 523278837, + 546412798, + 395561336, + 709139341, + 452919949, + 658822136, + 437771336, + 531041388, + 42059354, + 8966291, + 395966803, + 479978634, + 833893460, + 686105890, + 224391836, + 245260614, + 707588954, + 835406969, + 471787119, + 882050607, + 417622769, + 676472317, + 115764444, + 836397728, + 53542297, + 209530097, + 717525985, + 431066043, + 178074630, + 232456629, + 386025608, + 504415119, + 141338774, + 11308283, + 466394067, + 476076898, + 268996803, + 675230337, + 528518865, + 882346773, + 347150411, + 620038422, + 615700966, + 723825835, + 457876233, + 240737583, + 132520789, + 758848344, + 77480890, + 730223721, + 818431876, + 934199694, + 568462489, + 383630762, + 267382721, + 440104400, + 509058973, + 213298495, + 830591832, + 8673465, + 888904400, + 443925390, + 870436582, + 257096409, + 253168124, + 766300920, + 423864735, + 504415878, + 800982396, + 812945447, + 742935086, + 45178428, + 77734096, + 97738023, + 364205718, + 407314964, + 847551504, + 8980554, + 628278645, + 330588329, + 986449728, + 801358523, + 624719726, + 411037102, + 140038296, + 895068811, + 804559670, + 146313160, + 303095213, + 460826122, + 576921814, + 311197466, + 207374544, + 248569001, + 52157434, + 927953772, + 550175162, + 675567409, + 37348313, + 731537513, + 979344443, + 960294174, + 663062959, + 233653184, + 693110223, + 786970374, + 532676734, + 432022803, + 641741557, + 78151892, + 564600076, + 55153456, + 257591747, + 551371472, + 120313963, + 293354834, + 920725037, + 150941070, + 864036605, + 573980884, + 619103892, + 856749562, + 85259387, + 530877923, + 241261792, + 785121900, + 898138969, + 322424163, + 759848624, + 593778985, + 618276939, + 798935905, + 520431106, + 531081413, + 559271011, + 860646386, + 165011865, + 18040411, + 527898715, + 401028363, + 705033639, + 14357341, + 99621530, + 314388062, + 81154556, + 14199232, + 563950509, + 915675389, + 173279429, + 164393154, + 571044218, + 190204400, + 425623852, + 39549865, + 732465608, + 947073689, + 893338641, + 730553450, + 596832284, + 445017087, + 992392956, + 231226530, + 442944278, + 91993129, + 352906011, + 326648056, + 544059966, + 80275355, + 796725303, + 642459031, + 922661968, + 687487945, + 548496859, + 414286702, + 120422141, + 907592129, + 151890326, + 527715000, + 485023908, + 312782587, + 121882739, + 48259811, + 142917657, + 125258417, + 387547439, + 830654674, + 7906821, + 68129701, + 653786243, + 920396749, + 992131615, + 504293479, + 533122480, + 414552247, + 852183165, + 597882506, + 19017762, + 869644325, + 914867533, + 895179236, + 819862134, + 759918382, + 915056947, + 764824188, + 939575621, + 9021934, + 486261658, + 34127357, + 158351237, + 692256744, + 681337104, + 315574000, + 78430500, + 649459949, + 541498056, + 444345595, + 850318596, + 512078329, + 392579089, + 782868596, + 865985679, + 775931581, + 626825322, + 827585091, + 412854542, + 568566405, + 3760406, + 978977859, + 762282953, + 964455121, + 396621288, + 801266022, + 944712296, + 357705644, + 551074925, + 588911935, + 926663973, + 933895611, + 829075990, + 673324443, + 170930382, + 866778608, + 977554413, + 979923613, + 166023299, + 221516978, + 49053165, + 82877238, + 225548548, + 33666987, + 987429038, + 740265531, + 458903688, + 675422526, + 425067214, + 727816943, + 648307173, + 148258107, + 48400, + 95223184, + 105871026, + 870775999, + 478699666, + 803407822, + 26022537, + 443670024, + 127275273, + 531827413, + 169704872, + 749400111, + 110199891, + 266498310, + 445269394, + 163316132, + 590995942, + 976168330, + 665783772, + 611597545, + 808822897, + 317716251, + 469318947, + 835554344, + 513012861, + 540231700, + 18317706, + 102724476, + 764592422, + 407910930, + 757683153, + 146452200, + 333801784, + 835565509, + 660435288, + 921298627, + 455512014, + 212870121, + 632144396, + 366796654, + 678109705, + 169496727, + 947561338, + 366176995, + 562441215, + 327949150, + 326507344, + 327955717, + 389079708, + 495530490, + 698082131, + 994671478, + 580633221, + 486066916, + 650254138, + 895903517, + 763998096, + 919122789, + 427240691, + 356559227, + 432804726, + 908458900, + 313584380, + 534315348, + 319059156, + 559202609, + 390533968, + 634070809, + 308586957, + 656609052, + 551997733, + 991473410, + 440786043, + 598987432, + 262856529, + 504159824, + 817726381, + 277132136, + 166587124, + 397475745, + 437477406, + 739469250, + 406689907, + 442635406, + 757542888, + 939534755, + 450973882, + 894137527, + 278747042, + 621515163, + 683958993, + 820913491, + 244282983, + 756765444, + 850854402, + 10152935, + 674217446, + 498047606, + 473920692, + 473419681, + 922730254, + 527029587, + 639807468, + 644993823, + 609811911, + 566064561, + 57047204, + 201838967, + 20146402, + 910299168, + 290537006, + 467908135, + 988162920, + 343247051, + 864198045, + 532086584, + 959250751, + 953248675, + 461774256, + 804313758, + 611213934, + 814460400, + 481252712, + 837786346, + 729785151, + 43962093, + 807677606, + 430946372, + 251009254, + 790632542, + 951838745, + 292877528, + 422631983, + 807595668, + 700997182, + 127479338, + 533590459, + 24922288, + 527041774, + 10611498, + 838448041, + 72090628, + 332663451, + 661253717, + 547709072, + 777824794, + 308068607, + 417540022, + 955802071, + 585092165, + 507286437, + 895235525, + 225856351, + 330403750, + 629901368, + 647371895, + 671931348, + 740872536, + 777212935, + 968691031, + 814013576, + 992264008, + 737775010, + 846882027, + 614915285, + 270035675, + 878447019, + 6143829, + 123506274, + 389857252, + 537839807, + 691191997, + 155045607, + 598508067, + 587847661, + 147517094, + 414495345, + 220569067, + 806820188, + 835278251, + 762571284, + 545958867, + 895070529, + 942357838, + 735640985, + 481480980, + 816070281, + 13119778, + 817160526, + 92320522, + 804124111, + 455020820, + 224306786, + 859276749, + 259623313, + 446685209, + 891733262, + 411791924, + 999165936, + 335930808, + 425484389, + 206406021, + 294046158, + 49798698, + 550877047, + 237161166, + 941009332, + 458676934, + 786951242, + 639240677, + 629364901, + 414565089, + 486539256, + 364632231, + 668062795, + 722730455, + 391373243, + 352881751, + 121798368, + 995061107, + 591032185, + 150615892, + 442584044, + 745641376, + 662987025, + 227016895, + 359839681, + 697830852, + 620886765, + 766129041, + 736726878, + 284996443, + 890025582, + 177695790, + 745023471, + 251472510, + 182922970, + 508974360, + 279141860, + 923709787, + 456277138, + 638049116, + 116521120, + 382262159, + 669255320, + 830796365, + 824479453, + 794693634, + 681948553, + 894373502, + 328747678, + 864485513, + 838625639, + 98959710, + 698385626, + 719121740, + 563268221, + 126075350, + 256878478, + 267930928, + 643837003, + 396531760, + 288420261, + 575623270, + 954867513, + 76288095, + 300820423, + 137293858, + 504123554, + 225955642, + 687427144, + 833368834, + 347759034, + 41113314, + 640143859, + 81854420, + 610780925, + 478379480, + 129367061, + 360294445, + 571359139, + 427089785, + 587252686, + 637044626, + 744555971, + 724875231, + 861307602, + 936703235, + 567941550, + 705457068, + 301139008, + 846545798, + 218353739, + 806631147, + 90042853, + 965649597, + 762712263, + 488958661, + 889905523, + 622154837, + 13170042, + 923906316, + 440139429, + 334704619, + 94565509, + 503337427, + 940514073, + 74647368, + 565769922, + 348625004, + 797237524, + 202871051, + 10687597, + 680781042, + 367319681, + 649045910, + 757948988, + 388824208, + 515936490, + 442408645, + 298597613, + 911540058, + 199910139, + 5970166, + 973675571, + 733591705, + 154666287, + 536389760, + 455738994, + 934454788, + 714077695, + 650008814, + 114989652, + 542402951, + 812961660, + 443572409, + 297485486, + 692134086, + 282277901, + 643831506, + 684280302, + 910718671, + 6046757, + 911202254, + 999958596, + 599351672, + 16895306, + 695246968, + 335467544, + 312861148, + 914152376, + 740602364, + 418903541, + 783782627, + 263968089, + 861673978, + 87536547, + 908828136, + 627635372, + 938905415, + 353971814, + 128659112, + 533074038, + 684485059, + 950684951, + 246840247, + 889537067, + 116399463, + 104663759, + 592237175, + 144550341, + 502678268, + 128968695, + 999236791, + 548150972, + 267088905, + 505882298, + 543917403, + 640665773, + 714468921, + 924116603, + 454716059, + 890843806, + 45994820, + 316981011, + 635481476, + 775362750, + 930803004, + 150552571, + 846304960, + 153611133, + 326999337, + 296852548, + 37237401, + 732931956, + 480244143, + 566518230, + 859380869, + 816985397, + 47042691, + 983932457, + 212844320, + 806847046, + 975408547, + 636672977, + 924373197, + 935508099, + 79806626, + 760988245, + 423696738, + 149942084, + 791787743, + 209963025, + 552633484, + 292901172, + 821758315, + 224076172, + 535221954, + 223853398, + 999582611, + 945129968, + 49812709, + 177590203, + 758987378, + 960848979, + 833116934, + 51027106, + 424579263, + 699734263, + 102644325, + 962878294, + 453243740, + 606885333, + 754856338, + 866934442, + 404667100, + 489763824, + 547323945, + 162982510, + 152931732, + 276574423, + 182050969, + 374287071, + 262628343, + 979523447, + 589354171, + 123294786, + 414697229, + 592712394, + 478226358, + 146943273, + 704291884, + 981139613, + 596805868, + 685777285, + 174235915, + 744126673, + 382667107, + 412392724, + 249716142, + 650814920, + 212669066, + 878650706, + 320983569, + 345098538, + 812796189, + 425592653, + 570747770, + 155074130, + 379089732, + 354442062, + 626909837, + 16901904, + 253294429, + 542515372, + 414194026, + 693046379, + 264754498, + 273001819, + 383541456, + 648370199, + 207662666, + 364995095, + 656572820, + 484008022, + 631128552, + 941464516, + 377767295, + 927844834, + 395125563, + 622926796, + 180442649, + 325800157, + 708731403, + 412764162, + 996964429, + 784760998, + 608087087, + 87808976, + 878283239, + 178419143, + 704813323, + 148297349, + 621229496, + 779090208, + 827050870, + 404238830, + 183015273, + 138453150, + 834588759, + 557135585, + 585089811, + 644437177, + 993243931, + 449611380, + 384192443, + 683602224, + 452042881, + 156675609, + 427401731, + 6380658, + 916341775, + 410312734, + 187457312, + 532844424, + 242971034, + 780598650, + 573209722, + 648251402, + 133918559, + 206798296, + 263308005, + 763114301, + 52584, + 600252984, + 850995828, + 374245446, + 814423717, + 412821632, + 129275757, + 558065168, + 679041488, + 985564503, + 675565808, + 188992036, + 683949114, + 184580956, + 683010189, + 711885849, + 593297161, + 24127831, + 279947354, + 811963258, + 663041177, + 631985183, + 464578151, + 118280454, + 148809173, + 234803329, + 921105604, + 552622660, + 237321859, + 264673620, + 568813722, + 552564886, + 939780465, + 849121531, + 449834980, + 456548297, + 409219868, + 263603677, + 102620956, + 231263633, + 384729003, + 222614374, + 68469514, + 598864564, + 988996689, + 13946001, + 337731884, + 535888197, + 501071619, + 996626537, + 922211125, + 217100405, + 660828775, + 70235628, + 826954083, + 709453408, + 212490331, + 533692059, + 97407291, + 702626770, + 351010468, + 858840274, + 875061410, + 788058667, + 407703510, + 652351048, + 211344532, + 500786749, + 159317529, + 583119935, + 391936626, + 680468775, + 553713350, + 429802987, + 564423502, + 933088134, + 336646493, + 938636606, + 217829921, + 900406752, + 593831058, + 767391294, + 271748548, + 822950156, + 227219979, + 64605813, + 947573570, + 183296840, + 940509960, + 948107718, + 768271879, + 250146981, + 129716266, + 904412852, + 588395391, + 815149788, + 528099452, + 150016703, + 813220612, + 914577629, + 290976184, + 753181743, + 21281645, + 674174799, + 503403287, + 780695392, + 718582122, + 264188816, + 716167129, + 30517959, + 73982598, + 826335924, + 357765273, + 963867596, + 649803322, + 462992156, + 582745762, + 455351967, + 689342044, + 370709269, + 816593034, + 640429942, + 668771264, + 778997875, + 333393671, + 411482311, + 608579424, + 446681207, + 410371876, + 768093514, + 330294780, + 495084100, + 910279208, + 997137327, + 238906383, + 578555612, + 1029079, + 538152030, + 750437212, + 913195992, + 657978350, + 412211985, + 677632167, + 345362827, + 756289171, + 488583858, + 177004470, + 348821051, + 454241609, + 791951005, + 348887259, + 543130138, + 664574726, + 135383846, + 5584222, + 194432454, + 601083661, + 756182290, + 897314650, + 360886136, + 815749240, + 81709728, + 603740120, + 340579047, + 885781871, + 873799520, + 578298498, + 729096664, + 765460390, + 967671850, + 898604103, + 939878592, + 861921995, + 73786669, + 962592447, + 706753593, + 220393321, + 710539908, + 454445001, + 622348557, + 84237956, + 434991323, + 491554004, + 717626383, + 782342803, + 14719726, + 689183368, + 233372998, + 323913118, + 582498076, + 179009198, + 263297456, + 657722521, + 260440516, + 72244391, + 183737589, + 441287707, + 101258909, + 495706214, + 900115512, + 477765295, + 688619540, + 602259372, + 700836527, + 147971017, + 437744088, + 961399039, + 298626588, + 386716142, + 352064192, + 971860471, + 430097276, + 159314583, + 413364675, + 615227276, + 589224107, + 611514724, + 1749386, + 864251574, + 2622094, + 792715873, + 992555172, + 276562566, + 562349686, + 835424155, + 117069395, + 427040066, + 417183303, + 81231531, + 773745198, + 894680142, + 99980293, + 108622086, + 789780093, + 575881254, + 476559007, + 521012790, + 187597816, + 75576626, + 937188733, + 3263277, + 677100482, + 617387746, + 565779997, + 992741604, + 34580155, + 272962036, + 737444924, + 286654409, + 292251364, + 164487979, + 178868613, + 839174363, + 250469679, + 963790825, + 122470609, + 443480610, + 247798534, + 621797607, + 238590922, + 330662362, + 614736096, + 621029827, + 16597716, + 148397080, + 222638023, + 489994244, + 245587915, + 360145784, + 230520939, + 947464863, + 920922846, + 191227198, + 818313940, + 783395239, + 657676398, + 409494398, + 903216709, + 12431143, + 334123739, + 141556947, + 428631934, + 657629690, + 409104360, + 789077997, + 984825556, + 657492905, + 972487456, + 957655175, + 995187421, + 626869515, + 21651676, + 333341035, + 775273287, + 243967810, + 688040499, + 51897725, + 130064304, + 510081095, + 492695411, + 375239975, + 890146884, + 542568786, + 163479187, + 770113442, + 920708329, + 497159816, + 490019422, + 295222630, + 850070042, + 537599594, + 626973130, + 210422729, + 651999357, + 608546472, + 380378171, + 386778681, + 975481131, + 799353288, + 109069647, + 242370997, + 50802631, + 149462687, + 526685557, + 567106193, + 19126507, + 186975213, + 210294469, + 312520538, + 423548066, + 400598869, + 738834499, + 836256750, + 950713632, + 453939156, + 748152535, + 416868278, + 210376251, + 870178445, + 539751958, + 666238609, + 452324448, + 167891190, + 421320542, + 139172522, + 838600774, + 971494377, + 237626210, + 529866300, + 867461824, + 538970439, + 690276716, + 91202303, + 863134329, + 420572234, + 565585163, + 520494980, + 15552642, + 349663655, + 66779176, + 814713617, + 593286239, + 61908672, + 757838985, + 476496362, + 253703257, + 851797305, + 360471958, + 177494138, + 162474121, + 816525649, + 681443077, + 838702697, + 547058950, + 449890373, + 684005683, + 128563422, + 40669734, + 560570704, + 498292407, + 212399549, + 906021364, + 884940784, + 492443529, + 964991069, + 91738021, + 420237397, + 330690904, + 548180932, + 507152081, + 161143526, + 874984092, + 425563178, + 438659084, + 917142825, + 630820212, + 347875881, + 888530107, + 27302338, + 653427566, + 17010420, + 103206963, + 923673915, + 806873087, + 472492983, + 936278116, + 175989199, + 612770188, + 305013586, + 764165513, + 579323647, + 597188681, + 421196188, + 10351270, + 174811512, + 661410711, + 444223204, + 892308936, + 714638616, + 214045485, + 244803794, + 63347878, + 232484557, + 625625351, + 516074314, + 161495284, + 284403797, + 721862710, + 236070795, + 45045473, + 819762680, + 933263924, + 467149005, + 521232829, + 235860463, + 302266719, + 890156281, + 977064322, + 785565922, + 2699785, + 854444781, + 154559333, + 619567108, + 509171112, + 479428286, + 82511479, + 547067716, + 850018361, + 885272771, + 610574071, + 394571382, + 54774362, + 758523993, + 9685369, + 236288847, + 676011886, + 442796185, + 763584235, + 860378606, + 730483800, + 77810020, + 648680343, + 262213181, + 184233203, + 818188209, + 580853128, + 249401709, + 573749398, + 203529869, + 95703428, + 412437341, + 830475419, + 861733328, + 324544574, + 713705898, + 895200743, + 815971892, + 304170217, + 925518890, + 999432485, + 430773541, + 912087903, + 899178438, + 701133194, + 656559694, + 764502132, + 777104687, + 449749601, + 938139078, + 52704369, + 168631253, + 546957116, + 676778833, + 425047115, + 231118081, + 299668358, + 531622240, + 800569465, + 543138473, + 351093289, + 318092949, + 85633899, + 48927015, + 9386, + 808345347, + 6506291, + 275644013, + 72595825, + 856459083, + 347368048, + 72601957, + 521324052, + 804555550, + 783601344, + 351304823, + 843621859, + 439528836, + 923776967, + 672533642, + 409345738, + 188675582, + 66626254, + 233776742, + 60426751, + 83845930, + 184759396, + 87353864, + 710282049, + 795657628, + 170310358, + 995919337, + 535480956, + 380223183, + 966464940, + 975350672, + 436909863, + 318785911, + 185287582, + 567160256, + 311347019, + 877575241, + 727359010, + 154008765, + 716017157, + 619763331, + 225356571, + 955671123, + 964523037, + 892361196, + 630607928, + 205992123, + 975942397, + 587866958, + 295628805, + 993885084, + 705196272, + 151797521, + 293762346, + 546538681, + 854768371, + 177162023, + 400776645, + 67110226, + 74162669, + 792575153, + 422010531, + 180858590, + 527488238, + 478127225, + 319341355, + 741773621, + 278361549, + 759553550, + 981574239, + 93059066, + 665667665, + 29674932, + 617666309, + 456368401, + 412505023, + 146191635, + 37248584, + 129551176, + 119098605, + 116537905, + 423985019, + 960967156, + 173118705, + 166708789, + 152346463, + 366155269, + 954010383, + 250865473, + 159761164, + 641634808, + 345542217, + 750168517, + 762481303, + 393810957, + 514589969, + 236837506, + 950294301, + 113804528, + 905884523, + 614693722, + 702750785, + 159214789, + 4183336, + 271446975, + 184221641, + 220521111, + 699949129, + 434119007, + 98951430, + 511080258, + 949616155, + 501618580, + 454205, + 818212007, + 200136492, + 262067591, + 654047254, + 735759937, + 933481115, + 481798487, + 192665089, + 655984129, + 716281152, + 912588041, + 348430245, + 644574839, + 17152011, + 583887522, + 486972618, + 929845275, + 485562404, + 500601904, + 550049053, + 220027565, + 928175067, + 146570897, + 641005747, + 111351196, + 427097719, + 465573341, + 990278147, + 562203109, + 960481325, + 284301345, + 92919018, + 870907868, + 417026272, + 404726953, + 138369165, + 412553422, + 615792589, + 6590279, + 597298465, + 514553976, + 442278474, + 943765408, + 399623748, + 659683189, + 577448622, + 560015110, + 974203732, + 594130544, + 626993077, + 378384483, + 202403614, + 999415583, + 191842503, + 110284832, + 924046838, + 740088176, + 317075291, + 458592686, + 413030060, + 197516929, + 912950899, + 3381547, + 911192444, + 974082196, + 556516170, + 656207756, + 726166636, + 82477490, + 808541369, + 307664337, + 27286737, + 212321281, + 802215508, + 911372117, + 294524810, + 625037215, + 169420358, + 490918314, + 391123197, + 401855021, + 570192539, + 540467354, + 241826140, + 215001976, + 384632450, + 629660897, + 497546998, + 367769637, + 226945926, + 915460275, + 12895030, + 711444924, + 12603750, + 304150925, + 784508077, + 598105361, + 689888138, + 781782316, + 645582531, + 231762739, + 485456153, + 301006249, + 631395212, + 88328698, + 626855473, + 78474935, + 953038004, + 220791330, + 147455827, + 729800214, + 608048181, + 264439328, + 19382750, + 193575665, + 879133499, + 588840388, + 334491760, + 950062741, + 931437957, + 929289885, + 540994044, + 576394560, + 762770056, + 200781985, + 453885333, + 761631019, + 66557506, + 216393037, + 338673320, + 725062223, + 81955080, + 771059941, + 403548130, + 775536104, + 634185613, + 589541121, + 746431719, + 10317430, + 314324711, + 869847053, + 847176438, + 551687470, + 640269676, + 565272761, + 587268088, + 42271445, + 913308827, + 475405227, + 322685705, + 319753566, + 320150279, + 769575142, + 581704457, + 164623981, + 114095409, + 962283107, + 509682157, + 971286224, + 547676267, + 71718632, + 532906223, + 803686342, + 188267015, + 955842795, + 249023321, + 499621278, + 547658021, + 877820003, + 846193429, + 890772310, + 389226292, + 146468334, + 414646320, + 789405999, + 577951761, + 761692941, + 791579429, + 805800297, + 132303701, + 849588356, + 997210945, + 138616662, + 141764092, + 192012809, + 247641122, + 337854262, + 544020860, + 417801760, + 605498212, + 172601219, + 856352900, + 320086795, + 482161752, + 473554377, + 471052385, + 870342513, + 890973546, + 458163780, + 476111798, + 217658584, + 937700543, + 724493485, + 259769261, + 345019985, + 707191349, + 521839000, + 332284353, + 113607790, + 248581010, + 956223673, + 853803867, + 661492625, + 415499961, + 351450992, + 72810808, + 492750971, + 343654037, + 386701600, + 163090083, + 933892156, + 358525100, + 117815177, + 973284243, + 397679224, + 188936796, + 26315336, + 134392689, + 686773810, + 10007163, + 184573631, + 577501941, + 577182257, + 635685863, + 743295786, + 223581928, + 387280373, + 474422497, + 134673494, + 548971680, + 816552680, + 770947336, + 762954504, + 489581292, + 846966708, + 822915629, + 504626010, + 313555772, + 386409606, + 924459614, + 8711410, + 903029174, + 593514513, + 159801793, + 568214572, + 302246488, + 399153636, + 576301473, + 342546836, + 762657423, + 738043402, + 146986851, + 167669530, + 607048554, + 727410353, + 978873334, + 518241451, + 500690524, + 960965324, + 749357832, + 8657608, + 500827035, + 686038037, + 340253114, + 730715442, + 688366357, + 514173576, + 311830586, + 460972543, + 612870767, + 641953057, + 8426768, + 36199896, + 943228534, + 113532233, + 629284069, + 61482207, + 305247873, + 705461987, + 933705807, + 5150676, + 398822914, + 290372884, + 129418006, + 197045422, + 143751681, + 885606956, + 748864761, + 766416878, + 637763950, + 127476586, + 519356979, + 253083242, + 521076517, + 732325762, + 969790226, + 429473671, + 571932583, + 772715114, + 199694748, + 366911495, + 705389596, + 188722396, + 535263218, + 280926958, + 535456401, + 395159182, + 252865916, + 849248807, + 208473480, + 259911586, + 918017196, + 284363373, + 106097923, + 566965441, + 576577972, + 555176605, + 835795698, + 239186410, + 692641488, + 597740841, + 848980741, + 613136138, + 716851116, + 545133222, + 382691653, + 42705004, + 508274380, + 563020701, + 340256894, + 985647396, + 386458544, + 448302055, + 590128900, + 252310619, + 935164636, + 488651132, + 357883355, + 142808530, + 280359688, + 630063882, + 325238637, + 312048682, + 897941133, + 592049755, + 959044588, + 422991282, + 80397567, + 418221439, + 864178651, + 862507275, + 324402983, + 370514269, + 171695377, + 883603801, + 993478750, + 892329317, + 658010808, + 948066574, + 624917813, + 623271738, + 839679608, + 218001687, + 870279148, + 137121359, + 761155176, + 33643354, + 908286393, + 947566974, + 725398669, + 607675997, + 478376810, + 931109087, + 893451557, + 621602227, + 649455366, + 969016750, + 813268638, + 15620283, + 463771504, + 460062575, + 868486248, + 69460260, + 915932223, + 150875904, + 926827013, + 700896282, + 84576471, + 283100109, + 793285847, + 248613801, + 964337021, + 149804717, + 174858436, + 922506921, + 866093282, + 929899688, + 993017102, + 594371844, + 355188813, + 499182596, + 394865342, + 381142891, + 37342369, + 57440099, + 27852524, + 800638700, + 859732169, + 323328312, + 297879488, + 83271607, + 300536209, + 657086494, + 832678735, + 781515266, + 197979233, + 839955921, + 668699627, + 297551522, + 252319375, + 589233114, + 897839839, + 377339424, + 701599422, + 975302032, + 359662343, + 885136235, + 334176095, + 316209996, + 340466966, + 213824721, + 107123455, + 449458420, + 411220237, + 507867035, + 986145723, + 242727588, + 339833855, + 251916932, + 991398011, + 367197349, + 397710634, + 350853135, + 558653765, + 706495407, + 905544704, + 554287438, + 225927814, + 337792630, + 21557249, + 876963578, + 557266983, + 598622765, + 513144480, + 582066903, + 595406895, + 555408282, + 704251407, + 551445675, + 815135034, + 804254835, + 475054968, + 947505929, + 581011258, + 446587580, + 888424093, + 622241243, + 170902235, + 776986169, + 583416425, + 290628978, + 394817621, + 682303907, + 204082623, + 226658283, + 400619232, + 133964511, + 155404524, + 885872580, + 649072924, + 438148928, + 106496308, + 800716092, + 615673839, + 247799052, + 87419517, + 96406492, + 632327768, + 735356546, + 888174479, + 801745470, + 908992553, + 902686302, + 569087256, + 523865593, + 734459208, + 586007695, + 986163693, + 730280350, + 444014979, + 833852555, + 530325312, + 249082171, + 529816604, + 354191443, + 426749226, + 548885293, + 987041121, + 42460755, + 997368616, + 787130725, + 739157963, + 246428028, + 294018789, + 460021994, + 979475731, + 999439113, + 912799385, + 731475172, + 148413701, + 716343147, + 393203298, + 918113337, + 300670368, + 337375907, + 355951288, + 80797459, + 364506279, + 524771590, + 322896716, + 81623858, + 582469632, + 429962570, + 465401608, + 429523426, + 338898069, + 228816992, + 764910263, + 470744493, + 275444885, + 808163604, + 175182102, + 280904963, + 417318779, + 962944015, + 903813670, + 925780802, + 848395568, + 469448459, + 927941783, + 391592418, + 288197896, + 777214732, + 225431925, + 636633997, + 529099999, + 557277774, + 509426363, + 572834112, + 581457277, + 956997180, + 41299115, + 647967972, + 695387926, + 288884303, + 426967824, + 851497140, + 912734607, + 831388435, + 329545197, + 239029960, + 827965556, + 247423221, + 918519026, + 166606417, + 187770408, + 563074624, + 928172608, + 883578815, + 924733899, + 881323138, + 3229861, + 958815508, + 840104184, + 156221349, + 97354273, + 388289570, + 306285712, + 247740926, + 622956133, + 671017117, + 58527743, + 636033194, + 722298518, + 334576284, + 145875078, + 466397008, + 563411732, + 620282185, + 356184565, + 482700155, + 933987561, + 991879254, + 509466632, + 121321018, + 768784756, + 958514006, + 271921724, + 703850529, + 13011801, + 644328450, + 279076711, + 325568836, + 538383116, + 656915080, + 196990032, + 657867505, + 51183392, + 581529272, + 668468129, + 959187622, + 39720125, + 207377348, + 357212793, + 75746425, + 732421617, + 722385227, + 148914281, + 797948173, + 289998138, + 331585547, + 230117676, + 417650578, + 219333676, + 404720802, + 258300267, + 937639501, + 705031390, + 372436715, + 509469557, + 219896258, + 625016998, + 332621350, + 346013590, + 441128769, + 818081599, + 731097083, + 754340198, + 439093930, + 58753445, + 187692720, + 493805860, + 362049599, + 589015914, + 769982165, + 185507227, + 771735978, + 140678370, + 593851678, + 449693266, + 516090507, + 27140571, + 839645578, + 342150861, + 259361806, + 323598245, + 175787642, + 24232975, + 491435599, + 274638754, + 620487103, + 59529520, + 146501509, + 119825704, + 608983596, + 658983579, + 203850815, + 425503271, + 483716517, + 204694046, + 915511790, + 572720117, + 250379940, + 148711341, + 1372358, + 889874164, + 587127722, + 428653894, + 934402351, + 686988933, + 274621598, + 325092206, + 577223425, + 805666669, + 573200046, + 893035667, + 382672352, + 349539797, + 27085997, + 117231921, + 755383126, + 166500593, + 471601692, + 675315352, + 46464007, + 89231492, + 11573562, + 896539293, + 226475324, + 263930525, + 283211442, + 465373503, + 262185281, + 248795052, + 416511284, + 748804216, + 290537719, + 554893865, + 619975645, + 309526347, + 560668904, + 58323349, + 681268819, + 209452359, + 898473036, + 865332760, + 623338180, + 21616943, + 457993979, + 594725406, + 27922920, + 264277514, + 370093882, + 79938127, + 361156308, + 906155121, + 333225799, + 4221997, + 539554232, + 150886081, + 180920924, + 554379432, + 179097337, + 556914044, + 707205176, + 101193584, + 509426953, + 384504620, + 680228264, + 938175281, + 300555337, + 735002633, + 942318179, + 773404290, + 772153431, + 233729323, + 903893, + 481263995, + 314949467, + 300438565, + 506848498, + 653419194, + 955734197, + 690799762, + 617937947, + 758477355, + 248617754, + 767305073, + 756694765, + 170898429, + 289062188, + 549584902, + 691627679, + 996054102, + 171037463, + 937784064, + 624768337, + 500635287, + 775538659, + 908423889, + 507493292, + 870075232, + 249881153, + 623391594, + 762107006, + 700684426, + 44836538, + 969608968, + 620251239, + 670534097, + 701402059, + 7446170, + 6355609, + 299827955, + 414077752, + 529092127, + 715011607, + 685668266, + 30691379, + 84981811, + 456470279, + 938959914, + 832579667, + 710149014, + 695120985, + 237535455, + 97243940, + 728868186, + 990579948, + 214705724, + 674262589, + 111706221, + 566479310, + 143416720, + 815914759, + 902882295, + 100696224, + 506888675, + 559307932, + 936043683, + 269933655, + 804601230, + 31494426, + 398537744, + 286644421, + 937704969, + 173919202, + 717402796, + 133195587, + 565684884, + 553335052, + 911690226, + 405015827, + 225749207, + 826155734, + 11034605, + 397718024, + 635946701, + 450634783, + 642328528, + 442535458, + 43894157, + 613249290, + 274014224, + 595270424, + 745585415, + 242390683, + 184719463, + 835371057, + 495763451, + 72426064, + 481709566, + 666550074, + 828813655, + 133129806, + 784545106, + 571077920, + 537785761, + 962556963, + 142436922, + 284952774, + 609741923, + 742494673, + 970358205, + 552459562, + 352561593, + 46786297, + 352723810, + 648910768, + 428459772, + 163816700, + 729157065, + 988788663, + 755932693, + 907673682, + 719923538, + 883351668, + 458997903, + 534816162, + 476492195, + 882813452, + 266985881, + 566210348, + 957902194, + 271281226, + 925447962, + 516305502, + 198371266, + 696822824, + 481643345, + 666998721, + 582817150, + 74055689, + 861604060, + 240081894, + 920287233, + 81026130, + 352872767, + 923788265, + 439613677, + 239495893, + 504642288, + 199105662, + 746579608, + 52382105, + 457654374, + 238857314, + 530986034, + 578654764, + 784489546, + 453494681, + 677038747, + 742178080, + 692138269, + 67015647, + 764583405, + 386086478, + 218146882, + 270429837, + 857575049, + 895514755, + 252665507, + 531192778, + 14154590, + 853722785, + 406452596, + 443597350, + 78026875, + 18470934, + 65908013, + 929471774, + 375551947, + 75741706, + 974266166, + 457023717, + 56079480, + 530607312, + 924002864, + 136039180, + 174381951, + 53140245, + 369504019, + 408222308, + 938051527, + 872687747, + 662325306, + 888047338, + 292865844, + 60544170, + 320014590, + 493786046, + 533109332, + 369517190, + 381498714, + 96933710, + 272441340, + 644725907, + 845161365, + 135249944, + 2191989, + 257991813, + 417008643, + 425021177, + 181706881, + 85482846, + 28705329, + 727543086, + 480196119, + 413055196, + 783912062, + 29111850, + 361260801, + 75161862, + 753857446, + 408116675, + 74986058, + 95036027, + 317169629, + 668486442, + 503955482, + 5279347, + 221784877, + 28078184, + 837063538, + 191849259, + 153213623, + 584974029, + 463178723, + 527900564, + 201307356, + 250182478, + 953423773, + 89593762, + 670443203, + 739895968, + 989290991, + 141178588, + 341335688, + 7544513, + 835779901, + 229793964, + 325794278, + 791242519, + 350275551, + 817671843, + 91670840, + 251046176, + 161768782, + 695880370, + 564530976, + 642608495, + 218312895, + 719424956, + 754053714, + 81693232, + 279710936, + 431237832, + 108070367, + 331682049, + 176569018, + 828329106, + 246186735, + 181904931, + 970499812, + 268379951, + 676558664, + 537419713, + 629208690, + 131684407, + 725680511, + 838141865, + 305643816, + 88711396, + 853722620, + 849607654, + 792845554, + 92000564, + 876429515, + 825960780, + 536444185, + 255204030, + 739952405, + 485805306, + 790926571, + 400106410, + 933211998, + 291118999, + 954763575, + 472948130, + 654090399, + 908442145, + 218624589, + 869010267, + 443869949, + 648488543, + 446553508, + 519199407, + 132744069, + 210897795, + 403627685, + 556842444, + 354211983, + 846949772, + 246453247, + 995313883, + 501910847, + 407730086, + 59876778, + 153103549, + 568707033, + 309487491, + 133692383, + 68445747, + 564127677, + 229444851, + 612939141, + 105563056, + 465352073, + 664685516, + 327016694, + 535538899, + 883131370, + 247246387, + 148825558, + 766858351, + 627593632, + 180044227, + 983741685, + 538885812, + 135476250, + 614012399, + 750199833, + 972349882, + 2855582, + 403730735, + 361454824, + 580875726, + 204364679, + 253144924, + 961094877, + 603196799, + 96497418, + 569447050, + 781182508, + 200513413, + 782876306, + 705976479, + 42861570, + 797668746, + 714689887, + 825665712, + 608506997, + 733141129, + 459889774, + 498316981, + 367562952, + 758919828, + 590312770, + 90596658, + 203869037, + 703287365, + 884175355, + 582498741, + 317268171, + 111497473, + 945056846, + 73430444, + 950358748, + 612297414, + 508098754, + 889615770, + 818469973, + 22813555, + 402666122, + 227585890, + 401847004, + 556012445, + 309055905, + 8185055, + 702769430, + 240841533, + 433866517, + 357722566, + 919833706, + 566279772, + 270040696, + 746553767, + 271471663, + 510841330, + 472814625, + 175490060, + 380555459, + 61952033, + 106375245, + 531812494, + 87785137, + 195845768, + 94010417, + 182823711, + 257823918, + 150760858, + 155211498, + 303095827, + 718846492, + 671927542, + 158467410, + 114344208, + 329149557, + 384444114, + 214657241, + 987756410, + 852852386, + 523394541, + 271678419, + 587725996, + 726185820, + 832413682, + 651436076, + 211305157, + 485974890, + 362723098, + 548876520, + 120009679, + 463804511, + 129901646, + 681195189, + 247637320, + 535564879, + 237108890, + 958579428, + 906387096, + 708397421, + 88568825, + 183243547, + 129531850, + 299699670, + 104279768, + 804604769, + 531517535, + 711288021, + 527194824, + 463913521, + 157972838, + 345950016, + 758085846, + 290731718, + 829824514, + 439277102, + 665561866, + 369671390, + 868159376, + 213414747, + 208539030, + 305408214, + 198061691, + 156104144, + 784298168, + 23381502, + 589593334, + 384437321, + 687803019, + 807531532, + 593608385, + 872356367, + 75480640, + 98420683, + 802834282, + 777799173, + 824369555, + 46892096, + 180280853, + 668459779, + 712435708, + 705659613, + 286799034, + 22445518, + 877859309, + 432319269, + 503759211, + 161251195, + 718227284, + 345699729, + 977574586, + 379105912, + 304322361, + 815543524, + 711478035, + 756959959, + 268616941, + 272714092, + 538238242, + 567876646, + 673860600, + 783065042, + 329065250, + 604936167, + 322308350, + 119208442, + 591293564, + 160698169, + 229594080, + 955515054, + 711030305, + 715575597, + 658965845, + 159907997, + 359957510, + 432611886, + 696438040, + 822171098, + 325170550, + 751882249, + 314275667, + 347497811, + 754350820, + 887827678, + 572818261, + 832743490, + 110725246, + 482118375, + 33622281, + 445596389, + 337651337, + 928797691, + 91639312, + 92364892, + 774093082, + 557542226, + 845455920, + 980223516, + 268988407, + 835026441, + 65801842, + 407742640, + 77739318, + 700830462, + 81955126, + 423689688, + 324353048, + 492752740, + 97865270, + 288492880, + 190432270, + 798144340, + 213774556, + 965567760, + 285770192, + 503333878, + 597560358, + 988998059, + 743757431, + 527463462, + 347546114, + 107564202, + 819297178, + 564142693, + 887361400, + 96405857, + 426970599, + 734468312, + 288289985, + 619823110, + 155507484, + 209692253, + 390457477, + 214301941, + 1837416, + 95205946, + 429260591, + 432695267, + 174862726, + 772303928, + 481626398, + 783134511, + 677900711, + 957065857, + 37057583, + 948871917, + 641739934, + 911511760, + 352618639, + 144144884, + 642550638, + 797834095, + 463006664, + 464388113, + 728985125, + 106574706, + 844551739, + 532767458, + 707715667, + 851689093, + 110184963, + 611739256, + 513682935, + 856429092, + 326777561, + 744972921, + 877791939, + 132978690, + 135803803, + 926136772, + 968590174, + 567882723, + 694782523, + 861682127, + 152256335, + 790725824, + 596916483, + 367571719, + 627420629, + 136173879, + 198044353, + 511070611, + 442455017, + 834116714, + 701693337, + 992900302, + 771747360, + 617784839, + 522960141, + 346429435, + 169500046, + 6071737, + 316867778, + 277787152, + 188993407, + 990685361, + 312029437, + 96117817, + 687289715, + 720968293, + 900389433, + 927588466, + 639758844, + 162513219, + 710391516, + 774529200, + 562823075, + 765712224, + 266138608, + 193301190, + 214860502, + 569621103, + 488870689, + 399252209, + 673757438, + 375409390, + 445687655, + 733416580, + 531558204, + 948227586, + 946302828, + 636845835, + 162843359, + 535088652, + 704196763, + 433614275, + 976185238, + 638199673, + 18575114, + 760098967, + 714132944, + 73926617, + 969084096, + 205996466, + 925332702, + 269773141, + 662659411, + 827610981, + 351513379, + 169478736, + 340121492, + 692665906, + 709329717, + 647919030, + 490994344, + 949825790, + 520026019, + 384548813, + 696151191, + 765437277, + 148263379, + 873730131, + 940605067, + 533176151, + 846086907, + 527762075, + 715335656, + 301820554, + 230461124, + 841050218, + 630261373, + 744228791, + 143619525, + 223674426, + 240328857, + 946432016, + 374537753, + 755909513, + 472304041, + 228392771, + 951318893, + 777143591, + 597909051, + 612832640, + 978572924, + 372443016, + 712332806, + 463371403, + 983093144, + 267849842, + 530278126, + 875006043, + 375265125, + 696106962, + 338964489, + 916735522, + 265029251, + 818473463, + 448638713, + 757806898, + 574340535, + 179918040, + 431791600, + 920277555, + 385162752, + 471660133, + 87158064, + 993161900, + 99534653, + 531834173, + 937548633, + 243645459, + 271691341, + 533753312, + 443292544, + 562033813, + 798339860, + 174427780, + 691762520, + 746633641, + 594698411, + 747607868, + 289948115, + 873140690, + 408948715, + 457545238, + 790088344, + 609910000, + 92359424, + 502459453, + 993681303, + 170578854, + 933143308, + 847159630, + 902660503, + 202816025, + 961378094, + 586870797, + 6597422, + 715009393, + 544352161, + 442388790, + 442351555, + 413270310, + 364829953, + 709908780, + 948316405, + 355401700, + 832550571, + 741420053, + 415584444, + 427590056, + 579496827, + 101833951, + 649060577, + 132455349, + 150302460, + 793979921, + 268856371, + 64571225, + 594205180, + 742588338, + 613143851, + 925893458, + 573604747, + 314432722, + 784578329, + 120615346, + 945634791, + 816299875, + 720827422, + 257689098, + 497213787, + 618589955, + 830126427, + 287617909, + 435479642, + 308682117, + 393551572, + 158192768, + 24162952, + 453280450, + 798940506, + 721966326, + 706730633, + 951474354, + 94194893, + 174866621, + 632614063, + 702367567, + 761763812, + 324931167, + 948598417, + 541163292, + 384196586, + 179582683, + 374962133, + 682696873, + 277922584, + 352332351, + 541560896, + 34363151, + 225452952, + 660202266, + 266195117, + 469381641, + 124704964, + 252546926, + 925602092, + 420243494, + 3721371, + 151605106, + 860251977, + 590861630, + 468721681, + 547860123, + 883652779, + 959746031, + 823374824, + 972573207, + 551047867, + 680876209, + 308132831, + 187365545, + 925546248, + 718306121, + 308304633, + 756443336, + 974590100, + 324709392, + 269103071, + 528559879, + 52077121, + 457190533, + 605555588, + 64636890, + 728812749, + 656837376, + 303206439, + 756724558, + 768541929, + 619719857, + 140133572, + 20037392, + 699549844, + 200105788, + 725966424, + 52626940, + 642719923, + 902223160, + 607417710, + 611363645, + 765676583, + 144467559, + 272759488, + 232056684, + 431514201, + 561775599, + 762774971, + 765368743, + 678927833, + 504996642, + 589808713, + 725956198, + 102598644, + 24343121, + 168446691, + 158488841, + 523060401, + 313024510, + 663699005, + 676252294, + 389492895, + 127110452, + 467574029, + 531376319, + 319752410, + 220004095, + 181299782, + 901194408, + 301958470, + 877086216, + 419799505, + 181678283, + 766476610, + 524326144, + 120523468, + 906199801, + 967103129, + 541178054, + 667606643, + 593245416, + 700184361, + 862588623, + 7729757, + 255547371, + 513649039, + 705794691, + 893024843, + 555620833, + 148745345, + 235838290, + 571859499, + 760890356, + 789225584, + 620181679, + 189159665, + 516468687, + 237916185, + 6004873, + 695858848, + 355834694, + 941682223, + 665572248, + 640879378, + 206170582, + 11620037, + 598830471, + 718853325, + 333750561, + 46022443, + 713162272, + 76052352, + 458407071, + 52642838, + 942629118, + 875017777, + 824776439, + 117808409, + 210172271, + 953278262, + 475103977, + 370650413, + 83556775, + 490097345, + 216216753, + 524648284, + 703888970, + 594140357, + 164389401, + 580821229, + 639006993, + 825313107, + 959324446, + 105279256, + 768637528, + 887154661, + 713643119, + 345563531, + 241851440, + 468053686, + 304233619, + 186648232, + 635051997, + 586210266, + 109505328, + 543061133, + 795294900, + 304925672, + 64032801, + 71700010, + 523834741, + 372045097, + 902849209, + 53393516, + 328998138, + 505957716, + 727289606, + 759344172, + 476853046, + 206395041, + 412369212, + 749583277, + 884036910, + 298591982, + 544587976, + 774996158, + 78912228, + 653275598, + 588015491, + 441401240, + 517533620, + 554788326, + 515174318, + 758298812, + 865157144, + 566552194, + 35566884, + 376432292, + 913158433, + 231021695, + 682098243, + 850106823, + 572657477, + 225178574, + 301975599, + 135216956, + 81019875, + 893119116, + 816214254, + 386273176, + 200711396, + 274749711, + 553604322, + 701931559, + 337684414, + 416505804, + 900364702, + 335306857, + 141138437, + 875508655, + 750682435, + 745315101, + 421238668, + 290499948, + 713431952, + 729330812, + 783533455, + 214620898, + 537035183, + 359697066, + 424848105, + 592308769, + 922974206, + 434587250, + 781063254, + 677359730, + 578801518, + 254112420, + 546264638, + 564625919, + 288547106, + 631717369, + 962440683, + 871576618, + 732235820, + 592430330, + 191097560, + 422577898, + 27697112, + 445790749, + 613609811, + 990495869, + 528011278, + 779882921, + 669181639, + 556441757, + 242540064, + 739535102, + 238134499, + 691702551, + 284781491, + 115148353, + 147823259, + 996910195, + 329053336, + 389570946, + 691655128, + 934532143, + 299871032, + 94296310, + 661577161, + 540491979, + 659669849, + 757820564, + 850815194, + 950209198, + 209397377, + 351955066, + 646454981, + 556199745, + 713339169, + 542619132, + 702196035, + 873883018, + 114994320, + 357740473, + 324418361, + 360128258, + 30464796, + 58763251, + 180065047, + 671787939, + 606458741, + 349206976, + 961121451, + 90979793, + 201074021, + 916739971, + 973003515, + 287889421, + 689706873, + 459856621, + 132147537, + 544152005, + 879220327, + 273059892, + 571553118, + 447972901, + 78821172, + 142483696, + 864224754, + 443448749, + 511758471, + 323581968, + 477472237, + 698951631, + 921073785, + 990476246, + 861510331, + 220186279, + 340893201, + 205058867, + 951293810, + 417823605, + 169771655, + 428368501, + 728476319, + 580186758, + 899237290, + 360889787, + 411219803, + 212245330, + 878023329, + 658509296, + 620441037, + 60359273, + 296932527, + 304472254, + 391439193, + 281759930, + 244250835, + 609545569, + 775036642, + 729201978, + 471997336, + 224293731, + 648455905, + 50760899, + 123102135, + 557496190, + 118739950, + 530301232, + 245052612, + 949584331, + 662163325, + 986528797, + 486420052, + 68016361, + 302564668, + 996915993, + 824477472, + 211419341, + 694961215, + 577281722, + 418543701, + 399334933, + 501687616, + 148512259, + 420841448, + 265859905, + 828017219, + 485472177, + 62352006, + 419263994, + 565988475, + 213284769, + 699240977, + 182297367, + 921150811, + 444071126, + 519477715, + 971905873, + 965035184, + 795226346, + 178181105, + 659684665, + 191147930, + 374522357, + 48537247, + 915553762, + 833959323, + 118854226, + 209388529, + 875315216, + 743121202, + 969738172, + 688821495, + 237677656, + 668608086, + 353535346, + 436943807, + 931827111, + 13503687, + 722169690, + 68444323, + 503181611, + 826818028, + 995992149, + 922222753, + 210270003, + 870576713, + 514794567, + 957653473, + 495115268, + 274657332, + 922497304, + 379247044, + 635569057, + 240726314, + 673412017, + 705796677, + 445980716, + 247373963, + 94125378, + 30247298, + 816122174, + 834461642, + 567408153, + 302923798, + 583586149, + 32447768, + 658966431, + 39407641, + 7671863, + 574471819, + 86121522, + 703427546, + 226942506, + 172649419, + 57290023, + 435941924, + 350516776, + 315117095, + 286531744, + 993637784, + 609526200, + 342846696, + 906215450, + 177373487, + 687616539, + 934662845, + 629650622, + 107119201, + 183274200, + 701577867, + 415983954, + 124794816, + 946255079, + 396414986, + 34034727, + 703347277, + 357163123, + 67486690, + 718039272, + 998500287, + 867069353, + 63893679, + 963517227, + 981435537, + 973410024, + 50754474, + 267295059, + 727538218, + 906227859, + 899621102, + 508184803, + 56308256, + 923068016, + 645073164, + 310377034, + 61443477, + 502079563, + 566378219, + 193610590, + 524805908, + 608627088, + 195375010, + 368338363, + 10929718, + 838857713, + 759101260, + 572085386, + 438659309, + 784537779, + 91058934, + 793385541, + 505974032, + 608101361, + 852173722, + 646111756, + 414443317, + 709872298, + 755996920, + 830199153, + 501580885, + 862535224, + 835854845, + 330571542, + 39633931, + 609454405, + 631021917, + 387184689, + 245562093, + 387604622, + 25168812, + 556845426, + 19579083, + 403115686, + 625651623, + 755874140, + 166524606, + 916721667, + 283048133, + 755772163, + 670640056, + 565950606, + 589677042, + 324086291, + 312096382, + 942677747, + 353799980, + 743414976, + 480961541, + 536265664, + 438796872, + 697476460, + 164728333, + 835634807, + 707669997, + 378089303, + 597368773, + 120655130, + 978502159, + 492654119, + 467903183, + 693283459, + 386157185, + 356892496, + 804733882, + 837902475, + 600352099, + 128943683, + 53305159, + 671520581, + 957197359, + 931362385, + 325461456, + 973066711, + 587377016, + 855673712, + 466338386, + 61091770, + 67884920, + 898720486, + 169644205, + 327975638, + 288115824, + 9650375, + 960890627, + 72148407, + 471320877, + 65405941, + 588830578, + 835981486, + 277507716, + 49653032, + 808460942, + 655723378, + 836923916, + 539313390, + 768074464, + 56562190, + 665069539, + 60061611, + 406337925, + 811232481, + 453739276, + 336602049, + 239822259, + 714397807, + 394172243, + 896454209, + 718668637, + 637446587, + 10157207, + 116263952, + 542727050, + 792122066, + 760726432, + 539163229, + 638559849, + 66301722, + 53964505, + 210002256, + 984708115, + 176065099, + 774969561, + 542681340, + 640534091, + 882076218, + 577385590, + 551297534, + 747708869, + 527615229, + 746958489, + 554531109, + 38464602, + 759603821, + 171537249, + 984029685, + 644162022, + 200801530, + 788810160, + 325555831, + 473095762, + 600034027, + 450997974, + 929045494, + 336232052, + 803600611, + 433462131, + 822703240, + 419152890, + 945447715, + 660516099, + 494353410, + 69066313, + 229328465, + 624611059, + 621137952, + 591053781, + 336255491, + 128599203, + 509047229, + 611449157, + 310199588, + 602030934, + 633054802, + 737089094, + 287447701, + 565479189, + 906617033, + 998565251, + 897335508, + 462393286, + 752152053, + 114164270, + 148588125, + 200661487, + 553206077, + 744160790, + 443352794, + 525120666, + 750962165, + 329609388, + 751236684, + 620422628, + 401901470, + 986868068, + 872858194, + 331530843, + 251515082, + 315758016, + 468379702, + 317849272, + 985308785, + 524711632, + 615624295, + 498613974, + 372457527, + 467245914, + 206783621, + 267031170, + 350528769, + 387682853, + 467543613, + 589260936, + 593121586, + 731302053, + 289218299, + 826793843, + 61563721, + 269697783, + 861494287, + 485860917, + 19509170, + 670351443, + 209578257, + 465554469, + 173255496, + 979086261, + 418344147, + 854735999, + 849003048, + 476319668, + 952060848, + 535566379, + 839584243, + 497286976, + 4121450, + 204739308, + 62350977, + 555170562, + 616435200, + 976875222, + 245218901, + 692865614, + 293105488, + 279433569, + 48022497, + 952527955, + 805313788, + 378969765, + 690708821, + 837732599, + 44859351, + 457696053, + 246923589, + 608234187, + 717179588, + 372382662, + 981977575, + 983841518, + 927011095, + 340018541, + 560292672, + 36039156, + 491381937, + 771438641, + 784984059, + 658564772, + 874485223, + 383442586, + 22770931, + 816173380, + 889324366, + 519927195, + 101593243, + 781667610, + 288316929, + 761922944, + 43639547, + 522883774, + 783604736, + 738904298, + 339430769, + 578270028, + 151726500, + 781920009, + 389135055, + 58124181, + 736913445, + 99196910, + 544855652, + 547226239, + 458805062, + 350190667, + 404565785, + 564263886, + 864511847, + 106791622, + 363443022, + 502919362, + 277911572, + 907489740, + 889052600, + 601440638, + 834788068, + 461972904, + 695962531, + 415957013, + 3200457, + 633707260, + 428186609, + 494793189, + 570777221, + 528595721, + 950465415, + 559056275, + 668327127, + 496098791, + 28777923, + 648247238, + 87160076, + 211540937, + 274722171, + 487284682, + 987322090, + 859845533, + 668057019, + 493274470, + 609548008, + 746515405, + 645830083, + 448487679, + 823467490, + 879524609, + 687385904, + 72315572, + 276275689, + 502916707, + 883761496, + 639716784, + 769157644, + 298078120, + 818924293, + 983140590, + 319435898, + 645646458, + 812131028, + 325311880, + 712937634, + 491417652, + 333554799, + 915714931, + 882402681, + 541204188, + 40957590, + 656850440, + 356421761, + 676317532, + 5622936, + 659572450, + 866357556, + 212850957, + 212638323, + 216429618, + 598241205, + 423964009, + 660582645, + 66768945, + 85361888, + 517089143, + 357397416, + 779658213, + 334398169, + 45344920, + 101672354, + 874885702, + 719088961, + 318005085, + 834518260, + 385274389, + 988188052, + 641549666, + 327415664, + 864290668, + 171866290, + 211578323, + 356201329, + 76647487, + 258977595, + 729684744, + 484363673, + 416865365, + 277170750, + 339625323, + 277504064, + 411873853, + 295048653, + 382248060, + 605817012, + 337893607, + 178296901, + 472917286, + 137937258, + 997993585, + 305625211, + 535857787, + 357156436, + 630600836, + 448232069, + 94269910, + 648737761, + 745558338, + 394381066, + 34134522, + 86492788, + 383259062, + 650939869, + 455961379, + 201365368, + 351719784, + 888270213, + 995063186, + 554564634, + 356848291, + 150722161, + 325551399, + 679783145, + 269409756, + 920866741, + 264348307, + 466050933, + 794769058, + 691251159, + 683764477, + 483802812, + 773212158, + 120591452, + 178153591, + 961556439, + 752369053, + 205822320, + 902705331, + 352459958, + 151630344, + 971585578, + 988614948, + 372860828, + 714814893, + 742980320, + 299996082, + 716603946, + 784819410, + 163319723, + 145556174, + 402908003, + 844749505, + 938811841, + 468061323, + 514528083, + 744013414, + 590443249, + 104254797, + 275568862, + 824035155, + 387929096, + 688830919, + 719012036, + 822337082, + 366700867, + 380252723, + 721884996, + 145389558, + 678351481, + 13524306, + 219726969, + 574213679, + 284650660, + 404750202, + 987130780, + 540111236, + 105010989, + 901486662, + 405435963, + 386168566, + 14260086, + 88240121, + 426750443, + 113659236, + 344966040, + 817143679, + 666206999, + 479214505, + 500639280, + 10072596, + 668084788, + 252172925, + 514175439, + 989751676, + 843738987, + 52420190, + 146327201, + 645114564, + 566693437, + 917662986, + 197322948, + 129956511, + 102616595, + 763856407, + 662828821, + 776754286, + 19405554, + 510541809, + 335713783, + 567517224, + 261026794, + 432539522, + 212967252, + 99166365, + 446253563, + 142722813, + 104824695, + 60595603, + 244139769, + 755035094, + 681726466, + 125173240, + 9578851, + 619529435, + 636415912, + 876202954, + 78469011, + 717871799, + 82900499, + 878527333, + 820002426, + 518551060, + 47490290, + 101806443, + 389234853, + 386551227, + 277328592, + 737604086, + 132185282, + 669034485, + 969435585, + 598100955, + 715811776, + 636504784, + 856744429, + 65590208, + 898833611, + 55518828, + 939547371, + 701227139, + 99840370, + 281535449, + 71566599, + 75896634, + 27526300, + 114765775, + 784727425, + 929364147, + 327420087, + 138185847, + 9772389, + 13166049, + 310284843, + 840314958, + 155692526, + 281999868, + 538436225, + 461005202, + 107068321, + 295215952, + 462345389, + 106901092, + 485209488, + 184976943, + 393386691, + 209708309, + 191612465, + 751478592, + 38400941, + 669583145, + 614108024, + 640074950, + 131850921, + 224195497, + 918701737, + 214072355, + 728940370, + 853807440, + 904862675, + 440153458, + 739254614, + 820984788, + 899613793, + 967296548, + 95722450, + 453022010, + 933979785, + 386684850, + 538790156, + 639525323, + 762890702, + 684661339, + 774632435, + 378089322, + 225886548, + 540219173, + 774451779, + 485166257, + 67113848, + 916253033, + 699535512, + 774795262, + 809291986, + 763849599, + 105766401, + 796439230, + 347886791, + 591223154, + 643944645, + 585946760, + 853220638, + 745467455, + 843961391, + 533033587, + 648456993, + 669100164, + 130348532, + 937840327, + 126110711, + 874305014, + 821819998, + 886853806, + 917189549, + 477262712, + 4191601, + 564864806, + 797294662, + 718628210, + 325044849, + 695231254, + 228514290, + 595127536, + 347062987, + 501331700, + 562518091, + 847419589, + 307899781, + 539024531, + 116965848, + 221822793, + 866296887, + 334685650, + 323707837, + 748457326, + 732555907, + 970997331, + 304449202, + 228940288, + 252590977, + 769624648, + 392426317, + 114951730, + 403636625, + 65941958, + 602535988, + 941290997, + 268778904, + 936087319, + 818876600, + 92608052, + 994049900, + 529071482, + 235847346, + 156533418, + 832863780, + 940457909, + 228726355, + 745384272, + 453710879, + 438555133, + 61481725, + 213525205, + 424468067, + 915967002, + 208399975, + 749434019, + 145356082, + 436083801, + 630053680, + 23170609, + 29615523, + 14776093, + 660036083, + 284320398, + 784924981, + 103301722, + 277334674, + 689769090, + 222833413, + 463497468, + 581990211, + 794407154, + 598563157, + 642264712, + 214883292, + 57145794, + 611740147, + 316064632, + 183121636, + 529488030, + 713886317, + 237420240, + 269498457, + 564536197, + 18387356, + 20515055, + 132931990, + 746087756, + 622754828, + 859605228, + 270612887, + 479963670, + 599736739, + 331999666, + 968333759, + 478220276, + 578730886, + 312123930, + 194810515, + 70304493, + 752818835, + 593587012, + 217597220, + 148384072, + 306543279, + 645496960, + 389563472, + 689716124, + 709441316, + 886503896, + 111926986, + 254986711, + 299853548, + 615680955, + 532067658, + 779871424, + 347203465, + 424083656, + 593446231, + 186417032, + 121671462, + 848516170, + 980413883, + 714077280, + 274122656, + 322170780, + 135680177, + 308493679, + 265979305, + 980182866, + 763411515, + 115135797, + 779671590, + 707046748, + 966022020, + 746961000, + 492381879, + 83665402, + 779728695, + 705854087, + 744869949, + 268069690, + 687432118, + 409025612, + 891709245, + 798766316, + 472170991, + 696814503, + 67387522, + 482822510, + 589276708, + 13996119, + 724767823, + 522404097, + 795688697, + 446833231, + 468352728, + 130350914, + 92120063, + 303002245, + 705712736, + 504931677, + 467983834, + 288931058, + 217954806, + 547314205, + 9688871, + 170344406, + 449686054, + 435050745, + 482666621, + 396553003, + 487586433, + 406995978, + 859004499, + 945200437, + 445103856, + 424650261, + 437296786, + 160091128, + 364137204, + 280646892, + 937287854, + 835902905, + 734961520, + 749091580, + 426027322, + 27549675, + 222097820, + 492696140, + 544895652, + 129658139, + 851718998, + 763152507, + 415766999, + 473936583, + 782901222, + 770764330, + 153603879, + 366306397, + 422894072, + 876218872, + 726960789, + 229086088, + 242631193, + 136685804, + 657884309, + 427359214, + 364185871, + 265918942, + 384184510, + 912530420, + 622103381, + 266207244, + 239390389, + 48521135, + 441753237, + 256977240, + 133849630, + 579369454, + 154046249, + 937204148, + 784363338, + 653420708, + 678159901, + 682224900, + 907542747, + 961958137, + 662702044, + 38787740, + 695943210, + 264935143, + 887146647, + 128269367, + 674976090, + 504857095, + 405195138, + 374226705, + 952865939, + 10363092, + 926672936, + 827263440, + 992988245, + 542119717, + 547928198, + 934926247, + 292266020, + 816717854, + 767206041, + 11767068, + 761747754, + 395951348, + 698644151, + 139855839, + 93023263, + 627447273, + 682484168, + 703158195, + 841969922, + 218162894, + 766202511, + 900361386, + 94153238, + 277274942, + 740955526, + 645846502, + 222084099, + 400928018, + 807356852, + 378685388, + 934495764, + 412321665, + 904995946, + 783396093, + 842581450, + 373874962, + 442737980, + 466880851, + 5500653, + 177066758, + 297564931, + 793161302, + 302530136, + 511943523, + 617396687, + 13243465, + 816544425, + 484808777, + 625168317, + 307375821, + 215338712, + 73090113, + 221790043, + 735275174, + 621241982, + 576869490, + 177097903, + 434065749, + 355235213, + 21696126, + 656547690, + 245072611, + 207228542, + 477178537, + 905475705, + 791774666, + 370147878, + 465023810, + 296552025, + 810219913, + 246356315, + 161281101, + 258682040, + 453800214, + 980282937, + 768980182, + 172560379, + 480722808, + 881673460, + 795982666, + 677874875, + 376907516, + 403667377, + 426089990, + 931432601, + 986043866, + 449798831, + 965755201, + 877047537, + 552357535, + 323997857, + 778521883, + 299140642, + 694928323, + 236517854, + 301514239, + 469970109, + 844657739, + 905273260, + 68677008, + 752546875, + 555750605, + 965368118, + 346975839, + 320153753, + 890657328, + 370759910, + 326300523, + 361204642, + 672027973, + 659475632, + 164943876, + 735627829, + 800036331, + 607321884, + 22618501, + 945064190, + 232359073, + 624917983, + 416495664, + 191484105, + 96210571, + 861164540, + 229889095, + 170611314, + 309756653, + 453517442, + 360101524, + 40182056, + 419254962, + 379702688, + 419383449, + 661599392, + 902465566, + 977344788, + 238169649, + 837886834, + 644510375, + 822034485, + 436404118, + 60474682, + 641397071, + 732215680, + 704588629, + 418744616, + 22555554, + 883253333, + 577516294, + 740680184, + 800712521, + 763568243, + 166867832, + 694561312, + 453698769, + 929071274, + 45961852, + 646357776, + 906369822, + 960003418, + 642978768, + 923153983, + 462462807, + 441469159, + 975511785, + 818796375, + 13061984, + 62807383, + 423307990, + 108770293, + 491245407, + 909311400, + 113230781, + 863799141, + 840899936, + 715723312, + 340691716, + 269392014, + 87609348, + 251466970, + 81962387, + 945915473, + 434257719, + 817959186, + 752419559, + 15050906, + 882887739, + 798317778, + 920301376, + 879375758, + 772235330, + 219862805, + 289765137, + 79593065, + 364509034, + 94670309, + 328986851, + 450436797, + 681695769, + 802874598, + 302965611, + 548803735, + 687447386, + 626421274, + 241528057, + 424686671, + 538909106, + 635748415, + 515532156, + 220470682, + 242771826, + 687883842, + 392176335, + 809852262, + 716273639, + 565507424, + 568072226, + 745103990, + 861024694, + 281179502, + 33366513, + 611091211, + 292540781, + 194384412, + 754195424, + 243323030, + 641384874, + 171612861, + 878609865, + 877327621, + 705584869, + 655638886, + 172984699, + 154382270, + 716072668, + 126067057, + 648936876, + 710354490, + 412172833, + 840869771, + 557471778, + 742965422, + 330860498, + 406927212, + 712326474, + 341406263, + 575138360, + 184943817, + 970545121, + 175223031, + 924085225, + 449434884, + 187782126, + 171495851, + 768716569, + 250438686, + 922630070, + 162808845, + 758506048, + 339594056, + 115935389, + 458536273, + 722928047, + 433213069, + 674559140, + 567855165, + 572531446, + 437261993, + 547528772, + 130106890, + 205713873, + 385407712, + 234127341, + 830808653, + 63572650, + 666126259, + 675342225, + 553621919, + 887286253, + 895260311, + 481417750, + 537748229, + 359858118, + 722668094, + 598676490, + 955709578, + 765577359, + 588114826, + 481328606, + 522449454, + 248178882, + 532371387, + 186764161, + 659672264, + 531104660, + 305713282, + 633200585, + 765944549, + 340343028, + 624440808, + 253124973, + 538529624, + 780472834, + 119884814, + 953334605, + 648179362, + 315301370, + 513034440, + 899751775, + 563170447, + 209134507, + 207876425, + 277128030, + 467461719, + 906953487, + 619448050, + 417895547, + 883512713, + 169343662, + 326137338, + 517832160, + 212076261, + 77387326, + 282951065, + 447337531, + 796110121, + 775635205, + 793998942, + 866076785, + 995438122, + 397852697, + 933460567, + 274195894, + 383650474, + 248465290, + 637875565, + 498627614, + 538034034, + 407412895, + 931413394, + 155069591, + 760975128, + 500490863, + 526207464, + 119660256, + 402810652, + 6231759, + 302646793, + 849076769, + 915937596, + 77737716, + 353382057, + 182391240, + 325360133, + 576519638, + 122006239, + 426056871, + 322903985, + 44115428, + 291663041, + 38447964, + 379328175, + 659239434, + 915342114, + 773113809, + 435127599, + 584488661, + 20802633, + 789128521, + 459996626, + 609458500, + 108403145, + 177731317, + 730017426, + 288795724, + 880636878, + 510499157, + 874650585, + 954313362, + 600561506, + 890411103, + 995850330, + 980219082, + 936724713, + 972874604, + 113154008, + 925756228, + 659319594, + 661884619, + 539469994, + 951910645, + 318045208, + 208142063, + 153345529, + 58146804, + 863132300, + 640074959, + 101663102, + 449710593, + 345123077, + 841774926, + 837277424, + 5609682, + 776193072, + 178677051, + 67774698, + 202024586, + 432083536, + 212887641, + 180981525, + 943067197, + 930902281, + 529790005, + 527758074, + 528234749, + 453186210, + 254305097, + 440074139, + 719738724, + 231409609, + 50180430, + 463983102, + 394538670, + 964772704, + 113710452, + 199771185, + 947126055, + 832581440, + 465302771, + 677298093, + 626033222, + 65934604, + 557141594, + 618103185, + 747799953, + 220793886, + 715573827, + 226562041, + 474372890, + 876699056, + 545810662, + 278524051, + 647717170, + 880425476, + 337993606, + 143543197, + 674454263, + 30485978, + 542023106, + 635391340, + 368258062, + 858414428, + 459895136, + 81810869, + 623263942, + 71904775, + 733017653, + 3257160, + 955987163, + 769459492, + 595041258, + 399610049, + 203570730, + 462720055, + 351620132, + 257584146, + 409966220, + 242155586, + 997447042, + 808322717, + 528225311, + 615509000, + 349291065, + 601610163, + 791569879, + 255372151, + 747433608, + 656462710, + 616176789, + 556386116, + 64207688, + 404090963, + 664057896, + 882426521, + 958745976, + 249529132, + 383519410, + 529924640, + 190837427, + 936334133, + 664419976, + 393828040, + 16597383, + 391222621, + 181660758, + 289552083, + 338747754, + 311289003, + 761525166, + 579924860, + 855938530, + 482400316, + 730137797, + 644535388, + 429716853, + 37243795, + 356236813, + 992169613, + 100393310, + 403105964, + 190169326, + 252997337, + 536578567, + 283308741, + 853054080, + 18300158, + 626827610, + 971270932, + 36523668, + 558316526, + 489248464, + 733024290, + 664208599, + 731290035, + 980332699, + 331545266, + 447503228, + 66830286, + 290871090, + 122686563, + 915048074, + 882203672, + 243761311, + 494570981, + 944839692, + 160834566, + 892935812, + 153464185, + 406320990, + 413058083, + 391470840, + 504507293, + 965990565, + 463889105, + 522796302, + 977376607, + 454750928, + 154805856, + 904285332, + 809854230, + 827245688, + 499467946, + 115954994, + 678044105, + 632769508, + 681773826, + 300257514, + 216253335, + 119170222, + 862633951, + 706805233, + 789668490, + 157612607, + 200587281, + 863222346, + 415729787, + 637165729, + 210580216, + 550288003, + 847379034, + 83088159, + 900091703, + 482024976, + 672626924, + 665126656, + 343313975, + 356205451, + 369781540, + 527125643, + 518008528, + 957570556, + 530911825, + 933611234, + 12747404, + 178404863, + 62523615, + 873925844, + 915008100, + 146147319, + 971644491, + 843012296, + 395991207, + 560918319, + 594647970, + 44328989, + 246434640, + 916047667, + 992173867, + 597490090, + 56673897, + 538831137, + 512112861, + 818787386, + 795383469, + 494724133, + 688865476, + 325490330, + 911232429, + 350172270, + 533515525, + 31555297, + 838764031, + 869955248, + 576906911, + 281131117, + 965347857, + 431551523, + 802792199, + 77927702, + 635417966, + 926080849, + 463008189, + 316224621, + 150617510, + 562825207, + 813048585, + 100519896, + 665633741, + 925711847, + 549060675, + 478456209, + 860035967, + 867693921, + 271984538, + 532414663, + 32830327, + 578892237, + 542165116, + 206820898, + 249746087, + 809842400, + 134302359, + 910567754, + 45795305, + 511978532, + 632056752, + 942070394, + 340309735, + 990758987, + 685914211, + 887914694, + 792795099, + 838292628, + 376689743, + 310084120, + 404424468, + 774442839, + 937361296, + 353124649, + 757197016, + 919206247, + 10665028, + 482648276, + 396529581, + 924112819, + 708863313, + 28392373, + 209356915, + 549237609, + 147546935, + 901347273, + 659321078, + 503645415, + 456912870, + 951049796, + 2141147, + 488128069, + 904467583, + 977729171, + 90373205, + 853954707, + 93509668, + 533184971, + 946524347, + 698968854, + 220935105, + 396081351, + 448552309, + 177823368, + 219665004, + 575489025, + 754994258, + 956609650, + 544387882, + 803989465, + 239498439, + 779290903, + 183061653, + 652093164, + 372158138, + 151869953, + 224009123, + 630717653, + 861156535, + 779457977, + 162951920, + 304605136, + 26317500, + 673826759, + 790239519, + 69537735, + 529302750, + 74362454, + 376259388, + 142120771, + 756440227, + 225639916, + 586674529, + 416563484, + 699628267, + 32473396, + 409358154, + 236509130, + 384068184, + 789626037, + 148769239, + 790004861, + 882999002, + 113693636, + 893683402, + 927872522, + 522972675, + 545535202, + 875035079, + 238746861, + 630565261, + 457201226, + 713909678, + 342619950, + 339170711, + 389583848, + 162934521, + 367012027, + 101516838, + 596992239, + 689744793, + 452631902, + 698890992, + 769239504, + 793020655, + 267032966, + 613644452, + 97474368, + 731125100, + 38082803, + 402037323, + 873077076, + 822377458, + 546623749, + 199358731, + 116808391, + 293077137, + 482828536, + 999096398, + 979284899, + 880737302, + 452137555, + 872626904, + 581801254, + 981899168, + 802735827, + 173681252, + 639354195, + 651943636, + 245669476, + 89675195, + 345729503, + 79414217, + 253769581, + 186443125, + 119824387, + 274198495, + 940922572, + 94896809, + 692462972, + 771844935, + 888398937, + 496908603, + 253319301, + 511682790, + 990988682, + 336310952, + 235091552, + 431583247, + 721125759, + 807655269, + 2732200, + 949424943, + 757132666, + 260136852, + 284922698, + 203016354, + 517744582, + 305204070, + 175043218, + 653424595, + 119393673, + 828478635, + 701332925, + 753615336, + 862288383, + 1654968, + 562677046, + 439147265, + 489698815, + 948849696, + 603243149, + 985398491, + 508423322, + 708554003, + 220809129, + 474558040, + 78312231, + 198134566, + 207086586, + 231636819, + 771698792, + 581173667, + 331916938, + 512117726, + 131009430, + 457838937, + 54057143, + 960759199, + 487509864, + 152416886, + 435108788, + 940715163, + 748860228, + 609715419, + 550583848, + 954413228, + 220733916, + 848071823, + 593329324, + 247918724, + 676448622, + 576904137, + 589079622, + 892152760, + 720611345, + 566284189, + 314187655, + 396394533, + 905505800, + 30399423, + 479718980, + 748773353, + 36008622, + 455202271, + 261003477, + 362460814, + 10144663, + 985477176, + 707491204, + 711699519, + 185855993, + 437644953, + 939417540, + 695784442, + 249556486, + 431968459, + 968428575, + 185462068, + 819282691, + 377281464, + 5768789, + 216221404, + 436877215, + 842773505, + 447018746, + 742866466, + 751009777, + 700449983, + 699271081, + 668253553, + 971023312, + 438447893, + 927037672, + 714835184, + 446744308, + 597447925, + 836359213, + 771461963, + 987784048, + 401152464, + 410415443, + 514570654, + 951041605, + 198337406, + 809832693, + 685090811, + 688118514, + 323749820, + 323352213, + 821964083, + 126539084, + 784070552, + 676960100, + 463516716, + 565382006, + 163314280, + 80229122, + 607028734, + 571248930, + 536040511, + 108255601, + 750237653, + 871483690, + 312398094, + 22712474, + 455569795, + 758338504, + 436193212, + 392025604, + 250386181, + 967527628, + 458918577, + 523083475, + 965873848, + 940505515, + 358838427, + 743670923, + 782955769, + 751783755, + 557191108, + 457917092, + 253890200, + 829315231, + 82258222, + 101128386, + 560837958, + 387088578, + 686431672, + 68604824, + 659827184, + 170944772, + 951782976, + 558872016, + 568323900, + 489947227, + 373258871, + 709517022, + 823486453, + 953074954, + 172229998, + 713346615, + 39620682, + 874907717, + 304642991, + 741484849, + 341462453, + 846639744, + 326855200, + 144318082, + 690136804, + 298243596, + 933674299, + 101670732, + 587548471, + 622218298, + 521303407, + 820734323, + 807029723, + 217515259, + 623335757, + 541644438, + 866271312, + 49370470, + 671292519, + 119712551, + 409226982, + 634833192, + 496427743, + 62270180, + 978224323, + 796567098, + 627048541, + 409292865, + 515327270, + 912781910, + 105543769, + 574686388, + 611150849, + 541036321, + 560452092, + 797447338, + 859250066, + 731443509, + 779408531, + 808675248, + 292627884, + 724029081, + 167455501, + 667739603, + 682149342, + 92918258, + 499484230, + 653748889, + 810288126, + 132653316, + 453021536, + 445836074, + 8081469, + 993148462, + 722230609, + 828947796, + 254718635, + 970373796, + 301112477, + 450220074, + 744130892, + 972573335, + 375056718, + 697175261, + 303016157, + 866121895, + 795533664, + 552003185, + 833793605, + 762325167, + 891995743, + 345256790, + 717097645, + 436940331, + 106278844, + 27754746, + 379554207, + 286755141, + 369110163, + 607145102, + 655009341, + 571835204, + 47862801, + 352550562, + 222785719, + 532879327, + 159316850, + 197480575, + 754125851, + 191110, + 83467704, + 56720530, + 252204408, + 678152626, + 254395688, + 212999878, + 973416851, + 161183273, + 766741437, + 156510363, + 790591476, + 260293080, + 36139309, + 443711906, + 944764373, + 745513065, + 878715680, + 587442381, + 925959446, + 467406376, + 699593498, + 436986679, + 472003764, + 571681218, + 573189543, + 301463730, + 91248982, + 149014672, + 297958210, + 599611288, + 710981358, + 781972278, + 413272483, + 986862277, + 15594348, + 980697792, + 163524222, + 278137754, + 226656901, + 271273962, + 931136580, + 401764852, + 144459773, + 50817760, + 792741695, + 878926919, + 242382442, + 84874653, + 998103613, + 749287106, + 273846270, + 920868875, + 356147066, + 372452972, + 929863673, + 70897077, + 858049244, + 136815880, + 649360402, + 37347506, + 378659202, + 695173373, + 821725981, + 362914096, + 187868377, + 467379441, + 566055677, + 334231649, + 511436287, + 52846067, + 654418359, + 321027058, + 359874542, + 355946773, + 148969692, + 815223919, + 675157406, + 286813647, + 336631942, + 944759774, + 18737877, + 70291224, + 238121572, + 338158151, + 83941744, + 884547400, + 111284910, + 993700963, + 200783779, + 811072935, + 21408585, + 147830732, + 988656088, + 576098186, + 600538869, + 853492825, + 165670177, + 570781688, + 481646771, + 69693534, + 650728418, + 688057818, + 732146488, + 360409809, + 112951612, + 58245412, + 525826840, + 955257922, + 271507710, + 985230075, + 386035708, + 992377878, + 301700151, + 454416880, + 329296798, + 616150455, + 44215072, + 730432258, + 834324438, + 284748082, + 597962490, + 954197790, + 640432076, + 776638870, + 131011479, + 952222292, + 637468025, + 56551706, + 94968433, + 843076063, + 129506822, + 977113980, + 667927827, + 444109128, + 521262209, + 534792971, + 330232528, + 519513376, + 350734269, + 413700549, + 950458591, + 53511096, + 244229852, + 283898023, + 424175978, + 587836618, + 370345453, + 883710455, + 503023245, + 105502666, + 422906353, + 205316474, + 610333478, + 967159939, + 740365028, + 981589637, + 99051327, + 961005126, + 448441775, + 579297767, + 783630248, + 894282873, + 196592762, + 356286781, + 198120281, + 893390942, + 712743141, + 283253492, + 265694962, + 442804457, + 577959835, + 674858151, + 703296695, + 190429874, + 155591215, + 690809778, + 838141920, + 346499602, + 392040890, + 255376212, + 435541270, + 739293618, + 360344406, + 183814564, + 509338256, + 320013256, + 885041868, + 455750625, + 399526024, + 628496865, + 494219611, + 265829064, + 655626921, + 414489838, + 733489019, + 186299079, + 678746345, + 385746299, + 86174475, + 321405377, + 636849670, + 832591081, + 494096747, + 584971536, + 339294606, + 723066776, + 88177011, + 102454268, + 242953706, + 744612204, + 271091184, + 343654145, + 186323516, + 133619441, + 161334339, + 94148197, + 820445624, + 449400585, + 638939726, + 681038749, + 458087092, + 523993155, + 940245700, + 759399604, + 791113066, + 681216247, + 264218754, + 935070793, + 497939615, + 472017383, + 563584451, + 96283537, + 136393106, + 632803692, + 67812024, + 626524907, + 130340981, + 663121947, + 527873691, + 58976995, + 160554817, + 681328210, + 73288516, + 848826591, + 418824905, + 633423409, + 225626614, + 545129803, + 343643609, + 319227015, + 381011201, + 578717739, + 683077646, + 834317071, + 885582234, + 457160624, + 614251152, + 566305412, + 359653416, + 919983865, + 677669170, + 775729744, + 588452752, + 412152068, + 263713774, + 449561728, + 251321697, + 758798994, + 472364333, + 13452989, + 215499485, + 427455875, + 733265560, + 555351713, + 897521972, + 52992027, + 425460241, + 312316635, + 430226152, + 866681943, + 562973788, + 51141434, + 22586068, + 718763708, + 798113515, + 693452496, + 163201424, + 97209878, + 638739852, + 32835305, + 928145863, + 940060345, + 122709889, + 279817012, + 23460670, + 628214938, + 795302735, + 153842139, + 969270970, + 284181126, + 475764923, + 260121030, + 352214804, + 559132247, + 565888408, + 36050659, + 429968280, + 999257738, + 197155659, + 399904050, + 814553767, + 719290554, + 128621594, + 271892338, + 897883593, + 937609771, + 496891826, + 727461131, + 963364146, + 423241183, + 536922299, + 388453961, + 544863644, + 623247080, + 438052955, + 820474308, + 975952727, + 919596825, + 167981981, + 128402831, + 847726830, + 708162115, + 247311948, + 700348516, + 418905225, + 26204255, + 412216841, + 14823379, + 426653713, + 805260024, + 189898378, + 564069453, + 875582163, + 872461792, + 534948783, + 708516364, + 397684043, + 318986601, + 636137976, + 131421585, + 393853462, + 367034150, + 331647615, + 126832238, + 810093983, + 480966333, + 608481935, + 498576789, + 883251989, + 894714261, + 634473406, + 651831769, + 331001046, + 264640449, + 286088627, + 53638573, + 540749534, + 353803612, + 112698294, + 37927009, + 116622311, + 253565735, + 445929891, + 651779003, + 918247054, + 943270007, + 206463198, + 746145035, + 823311941, + 27887729, + 843266329, + 425426981, + 807981526, + 735104779, + 808459088, + 895079936, + 161255772, + 740666384, + 83689724, + 666621557, + 709255072, + 499290939, + 304249710, + 547946489, + 93840578, + 867086643, + 22936005, + 777065980, + 659413981, + 733504919, + 15049961, + 237574092, + 68324446, + 603627490, + 805137383, + 222935431, + 519390195, + 7118712, + 945817983, + 260363723, + 825197777, + 456671713, + 158760543, + 520121107, + 810462777, + 780487155, + 723840669, + 120584278, + 888337605, + 749902088, + 483148487, + 365070031, + 302702417, + 962285121, + 912311523, + 101210012, + 712874489, + 6324937, + 841064360, + 696401089, + 633808849, + 405141792, + 692764923, + 484449917, + 195463638, + 459037831, + 389160930, + 776686969, + 747230108, + 770355808, + 685488287, + 326933302, + 851378511, + 193929573, + 673874117, + 9519405, + 581765200, + 990847043, + 467718633, + 53851304, + 332656955, + 814517741, + 11065289, + 171692410, + 123260937, + 941837143, + 32961787, + 986783707, + 931922060, + 250391047, + 86826734, + 198607871, + 488015331, + 158990313, + 35723714, + 864642783, + 789712130, + 30003762, + 233758901, + 169882036, + 845200979, + 522776078, + 948998960, + 531343661, + 354000394, + 863002749, + 946494988, + 531130104, + 941852249, + 497566688, + 570003048, + 46420337, + 134639585, + 950357205, + 981611551, + 942156310, + 923305067, + 889237050, + 544512149, + 183591358, + 190962207, + 892170683, + 77990322, + 124178804, + 712406116, + 868519128, + 297078627, + 56836479, + 874607904, + 717348152, + 214733837, + 205035843, + 587822176, + 591793609, + 153553773, + 167593446, + 429184338, + 513366945, + 709500553, + 983398506, + 143951412, + 199507927, + 815223909, + 891406672, + 810415370, + 613681838, + 733233642, + 115155989, + 184104680, + 383616310, + 281012764, + 294875557, + 991192749, + 979583317, + 919920136, + 352379087, + 781250166, + 539769949, + 149072925, + 576985566, + 484517220, + 961853207, + 356783813, + 382417288, + 54546077, + 805792283, + 153943757, + 156692571, + 436546841, + 503314538, + 352254353, + 28686316, + 339505691, + 656690436, + 994336148, + 886971752, + 846884743, + 810938448, + 155548086, + 859236161, + 614638421, + 839054117, + 413400623, + 636908983, + 510179700, + 652438597, + 228224693, + 337616254, + 972475804, + 468067223, + 968868273, + 482644907, + 575828404, + 704245297, + 778682992, + 597497646, + 77535714, + 408124920, + 209431341, + 48683825, + 455999282, + 126956166, + 857951286, + 6524747, + 565807558, + 353761516, + 156745983, + 312330803, + 45603373, + 955454260, + 163387438, + 149610768, + 131585998, + 921061309, + 502581024, + 330609141, + 911244183, + 415359109, + 843140805, + 664440439, + 754426389, + 491502182, + 846619257, + 618601937, + 247926835, + 186211970, + 718454076, + 116698947, + 767612136, + 695270275, + 218795089, + 758679389, + 896118312, + 979242672, + 429143165, + 21727548, + 469373834, + 326238888, + 684999469, + 881243905, + 675699993, + 66792724, + 917796605, + 354361922, + 606553921, + 826254125, + 587716494, + 227243322, + 278341394, + 149888410, + 408792462, + 855915930, + 294138396, + 500038320, + 552444853, + 958896390, + 629279231, + 473921955, + 353164465, + 750683228, + 413283190, + 559083674, + 973084895, + 350327728, + 324049830, + 819448147, + 72359988, + 311378114, + 957890571, + 262787833, + 761614414, + 110706464, + 373073998, + 978790282, + 243098711, + 208171896, + 677151781, + 309510800, + 376272764, + 886711380, + 926135931, + 603275077, + 837220302, + 389591541, + 378060633, + 436215490, + 21553817, + 595305410, + 663724925, + 360353976, + 333622753, + 22542545, + 485068714, + 519826385, + 523531926, + 358129826, + 390304613, + 830433583, + 206071137, + 724386796, + 290146857, + 535198282, + 8380227, + 47696422, + 218497491, + 56404889, + 267231426, + 69247514, + 357216743, + 243565965, + 362912984, + 302097974, + 436866614, + 575477912, + 861256252, + 512504058, + 956661775, + 250667384, + 829839441, + 867117698, + 759428727, + 45299178, + 950461676, + 760133624, + 306570459, + 307558692, + 290739306, + 435385951, + 795293771, + 966661941, + 616868071, + 24302014, + 147800457, + 449910800, + 493631355, + 106917275, + 69319818, + 744873396, + 51679898, + 414107677, + 859356072, + 467790182, + 344749775, + 382774478, + 933107076, + 604932539, + 869464051, + 712410701, + 498246990, + 515914345, + 978269073, + 394680608, + 440184752, + 482056547, + 249987166, + 250057797, + 875225271, + 132674862, + 365141148, + 49175762, + 7221927, + 612189608, + 136923525, + 142563764, + 328509157, + 98042181, + 377397726, + 921055577, + 264079780, + 226574179, + 588023400, + 935505634, + 322673301, + 722627840, + 560165330, + 659129168, + 880016627, + 645627214, + 820577270, + 560667581, + 267483681, + 820764801, + 748046895, + 630408123, + 71614722, + 578358257, + 321657976, + 504076977, + 180449652, + 158526096, + 710459176, + 610318115, + 343457530, + 817036635, + 478829613, + 349641233, + 967451815, + 989383848, + 632907539, + 679611628, + 3338194, + 57803935, + 954452660, + 372653539, + 797030045, + 955635644, + 441137630, + 965961460, + 709443093, + 288706950, + 962942616, + 79950283, + 341912091, + 680949768, + 805490642, + 272381045, + 89937128, + 564716647, + 864523334, + 863805192, + 972096452, + 678411219, + 66700733, + 607362203, + 228937879, + 180424789, + 311759649, + 783908559, + 353669394, + 974243195, + 605926888, + 167478142, + 561509326, + 158672140, + 565852180, + 543181455, + 259775499, + 518917978, + 92076061, + 453404582, + 22868202, + 678276012, + 559889638, + 479069929, + 464079299, + 871916070, + 256306432, + 471642455, + 226515558, + 769749762, + 538992818, + 103320420, + 593766215, + 906398784, + 697985055, + 931366105, + 260798596, + 765143089, + 961598039, + 663855021, + 991893818, + 205290608, + 151591441, + 547396930, + 661706823, + 532857877, + 800640210, + 201889559, + 929291626, + 857862514, + 942492710, + 555984106, + 598315703, + 765180319, + 174207982, + 54275227, + 503319496, + 566826387, + 732979842, + 31922859, + 25145329, + 999226186, + 447509733, + 390038315, + 123022592, + 632407090, + 876605201, + 778160774, + 86840969, + 340259980, + 523294054, + 266388962, + 499941941, + 448975754, + 651064339, + 587772257, + 185725032, + 305084357, + 85250685, + 484949577, + 964245830, + 787789559, + 928053917, + 242053520, + 388249720, + 102628387, + 347878240, + 982166799, + 330734777, + 292715402, + 691526137, + 720503407, + 159918307, + 4407442, + 778116019, + 736579081, + 788307779, + 278349816, + 299268242, + 157574211, + 683883859, + 404259787, + 364893645, + 9262794, + 558861477, + 366413488, + 294968259, + 546567397, + 568316916, + 752955466, + 855589734, + 885622077, + 840188739, + 576149977, + 280373544, + 527814903, + 886747847, + 443911945, + 12591466, + 979237229, + 257895713, + 120115109, + 611773736, + 476983738, + 829713323, + 437582839, + 700679911, + 518547936, + 718827144, + 537229440, + 393638791, + 819224799, + 650292954, + 105780307, + 850882155, + 144012597, + 988196512, + 951068196, + 124493438, + 155828004, + 223784170, + 534685032, + 335006116, + 119938264, + 894275994, + 590348912, + 34028063, + 68771942, + 281446282, + 750644859, + 859898946, + 471600008, + 92139735, + 755329289, + 487562531, + 331165104, + 691224782, + 94181281, + 574549795, + 446513034, + 856151505, + 172785387, + 709643754, + 806729602, + 471942916, + 926914984, + 773707072, + 67647299, + 819961677, + 510633383, + 647192410, + 306849447, + 72017865, + 345582441, + 914334787, + 319630859, + 19611860, + 862620217, + 445542396, + 99610393, + 9584732, + 367397851, + 747629700, + 912645785, + 782699626, + 326694003, + 660728684, + 319415528, + 17961446, + 678383108, + 61117671, + 349815823, + 183473684, + 661239726, + 765695347, + 512036986, + 392073687, + 936652365, + 10258403, + 913414994, + 140857443, + 640638148, + 411681631, + 569475030, + 212125992, + 316498943, + 318434193, + 523393740, + 584520776, + 998261838, + 275215604, + 610681382, + 720355946, + 219803192, + 413630367, + 798351669, + 741201366, + 777010579, + 499729238, + 383014402, + 420256483, + 291190137, + 322709428, + 576523215, + 338330540, + 969112457, + 187570124, + 70624011, + 68754182, + 672642514, + 175462387, + 114130517, + 460481977, + 538155182, + 892476757, + 418942814, + 872162277, + 213338544, + 337612432, + 904111113, + 519436940, + 342138634, + 118928233, + 123211100, + 90401757, + 617911172, + 562391218, + 889318354, + 124529263, + 495787172, + 638348305, + 886817805, + 569199910, + 485634095, + 848778720, + 109676494, + 920904932, + 629403753, + 113659237, + 116009117, + 654948905, + 645376055, + 414065528, + 461555242, + 527755856, + 920228357, + 330126005, + 172218060, + 483888817, + 90933081, + 375189159, + 310669680, + 792975986, + 870455538, + 251296201, + 188117655, + 633906507, + 80854410, + 562817629, + 595648184, + 416280287, + 533990561, + 868919398, + 316506709, + 532026510, + 298172470, + 625711757, + 611015370, + 138512091, + 12922031, + 668284073, + 913973564, + 929482649, + 103126621, + 239042365, + 986127464, + 97603766, + 884777015, + 496925023, + 581246321, + 337819543, + 215377505, + 120046570, + 825822370, + 832541694, + 693701382, + 94341939, + 935011056, + 689904122, + 235637587, + 406755694, + 81205847, + 328232013, + 153801359, + 427246432, + 304310472, + 38374749, + 850938412, + 776822150, + 720803158, + 217620076, + 276514970, + 150283306, + 770847527, + 81722556, + 154630249, + 931381766, + 925022950, + 413339339, + 716346794, + 472543677, + 533092116, + 644316733, + 734058919, + 656550714, + 563990490, + 787322078, + 913116296, + 77197605, + 587827661, + 784822554, + 623366377, + 939706739, + 245066760, + 980124616, + 257233308, + 689684639, + 667833759, + 367443466, + 579661218, + 406536593, + 560577092, + 773313222, + 800070907, + 799646415, + 154722619, + 356956677, + 582613933, + 14382394, + 331759619, + 875798556, + 966140758, + 931952982, + 164483357, + 769483928, + 282788883, + 645847897, + 379792202, + 518539476, + 215392706, + 740769641, + 76679710, + 282623998, + 363459544, + 850964692, + 686278613, + 283820867, + 554381667, + 287546368, + 381719729, + 373129007, + 590348881, + 669047227, + 792415111, + 135177134, + 683494911, + 2136992, + 972783594, + 682411018, + 95346748, + 844301845, + 693796617, + 723292386, + 199963606, + 16526311, + 410100231, + 246296903, + 942164630, + 950362620, + 18712061, + 952120107, + 418433108, + 406189598, + 338650425, + 207546422, + 427740052, + 195818393, + 511955507, + 862151364, + 571863570, + 880263403, + 681251699, + 996909766, + 712916363, + 651284464, + 381988296, + 505753320, + 79823272, + 256222931, + 290160337, + 661435591, + 292126572, + 496017691, + 402809231, + 571584390, + 678369638, + 607833062, + 643773284, + 100761655, + 56163405, + 94522504, + 839203721, + 81034118, + 732983868, + 176955481, + 216150313, + 657456685, + 80589685, + 864318871, + 812199476, + 486604001, + 906545355, + 450774593, + 467401755, + 205830621, + 775207394, + 458626206, + 723722515, + 143041049, + 35114061, + 580456074, + 298070358, + 628798255, + 466478016, + 130891594, + 179776469, + 873259073, + 186697368, + 481652319, + 153287709, + 762914721, + 657292678, + 110375727, + 115164071, + 303502894, + 57287155, + 235298525, + 553820179, + 99256638, + 862305549, + 59180551, + 652546607, + 541082436, + 697271936, + 205243477, + 425669452, + 525726997, + 596910157, + 55611534, + 467420068, + 484651436, + 253721921, + 114035116, + 492457754, + 108493904, + 7305627, + 24106459, + 718958412, + 888307390, + 482954269, + 739442668, + 723820783, + 972076104, + 453116420, + 527243006, + 672329138, + 261219588, + 988187082, + 692172139, + 683243361, + 359994922, + 446341409, + 34730512, + 513051257, + 549004992, + 875407441, + 339475888, + 801978917, + 341913072, + 352032824, + 73045462, + 788143941, + 486806907, + 941207758, + 704466288, + 961300646, + 615117414, + 457455664, + 307748117, + 662071893, + 681399497, + 884371865, + 811984687, + 490101097, + 639878390, + 776156711, + 30933800, + 734355766, + 49832018, + 21553567, + 494787326, + 518872501, + 588652671, + 983971993, + 557308620, + 772727782, + 172776052, + 436625251, + 792626344, + 812399963, + 436225778, + 545922646, + 288019242, + 909659552, + 683990603, + 181957621, + 71708368, + 701403686, + 39788369, + 354644587, + 239947505, + 850151930, + 559408927, + 208751774, + 267518467, + 130976581, + 528258771, + 630843052, + 224250644, + 80358985, + 930100659, + 812714860, + 878438919, + 764846926, + 902537298, + 791516676, + 921897788, + 966461607, + 980354211, + 14741077, + 582690108, + 762726440, + 802931766, + 632907183, + 28469309, + 167463751, + 738558818, + 41149020, + 99348568, + 866093586, + 614408536, + 24104620, + 338348521, + 48427151, + 262170212, + 551573846, + 886543808, + 984129027, + 563658956, + 739251594, + 863604404, + 487838126, + 248838626, + 779830378, + 682961964, + 916562779, + 955560284, + 900325568, + 664607494, + 482503806, + 263463112, + 289806901, + 582499696, + 798157342, + 659860507, + 620710361, + 936303085, + 662932607, + 188614683, + 891858757, + 165614760, + 366850729, + 984664468, + 267661679, + 141881376, + 922523934, + 682894967, + 473632549, + 904459684, + 872326084, + 183075629, + 423123883, + 877288855, + 172003090, + 440448080, + 950794820, + 387857036, + 278163054, + 472637823, + 901824589, + 726975016, + 720036600, + 166240653, + 923302162, + 319580533, + 596306679, + 228036778, + 640870425, + 441026158, + 907699090, + 394462675, + 449037853, + 247866276, + 674405405, + 893516684, + 299087375, + 87721130, + 38054049, + 904233468, + 131186639, + 123857708, + 370170186, + 344537991, + 935149775, + 955633829, + 21999150, + 544822001, + 336098034, + 791968, + 222850775, + 664573907, + 671406800, + 650644822, + 624821321, + 938638689, + 317501504, + 93437412, + 756288866, + 278335803, + 909598407, + 39975067, + 258994972, + 933841135, + 674873967, + 465081292, + 174638121, + 646906895, + 505547010, + 668563309, + 558420199, + 995225341, + 20985172, + 41349614, + 496798587, + 584219798, + 335521128, + 605527342, + 663245372, + 125415394, + 168619762, + 997267443, + 490625272, + 855214493, + 998394747, + 597156032, + 777221429, + 541754532, + 225342305, + 881154796, + 637091365, + 509500954, + 679382043, + 412009765, + 646899645, + 276283736, + 881671311, + 264922912, + 763488988, + 668927793, + 69172732, + 85477745, + 873580884, + 258604031, + 106906998, + 192681507, + 902446708, + 357272778, + 146919579, + 185735589, + 950058535, + 653675656, + 78499060, + 287665972, + 466592532, + 321113820, + 14918203, + 900492232, + 366803924, + 858496276, + 199454832, + 416508219, + 674941272, + 502177710, + 565107217, + 776372522, + 937637961, + 426627269, + 286083577, + 910453801, + 879458000, + 980962192, + 752531195, + 148885466, + 808249430, + 268302465, + 882028305, + 116246489, + 235335348, + 535188395, + 245014809, + 519385307, + 943717922, + 171225450, + 364427323, + 610312247, + 236720240, + 826629251, + 669292792, + 986093700, + 669216263, + 862269858, + 400897320, + 812023189, + 746811695, + 107960223, + 232285054, + 835761991, + 691140534, + 582225403, + 330780571, + 519658877, + 996344573, + 938573311, + 223953098, + 68659660, + 741740498, + 84523998, + 76473253, + 618535018, + 461634778, + 224291426, + 5940777, + 2209975, + 175691483, + 935735634, + 184413706, + 227320909, + 651173203, + 675093616, + 906126877, + 123463684, + 927812281, + 183640699, + 621695948, + 41260416, + 243988536, + 308119346, + 545672418, + 274719937, + 649943810, + 938471446, + 165015341, + 759269150, + 786324433, + 806537412, + 287536065, + 679695153, + 27677199, + 350332333, + 993613511, + 341942147, + 404930292, + 453985639, + 410537098, + 414719146, + 767107114, + 604078145, + 271194973, + 122155184, + 354368128, + 328086493, + 566273160, + 154937574, + 312551762, + 824867586, + 256511252, + 537055020, + 224670644, + 545790786, + 887824585, + 325840333, + 822797125, + 415543330, + 798702452, + 263860454, + 137411294, + 654572426, + 805271771, + 789788500, + 853249358, + 490343154, + 174580068, + 263277734, + 91792123, + 536858743, + 305934676, + 614536272, + 21735800, + 159046937, + 219952759, + 755245887, + 81582599, + 39474638, + 605073366, + 430231552, + 4537200, + 133287322, + 342412261, + 819069700, + 946843442, + 769630791, + 824921732, + 942693538, + 929994947, + 709505547, + 99946370, + 280394621, + 636055305, + 83426434, + 73386901, + 43974340, + 301229731, + 348032866, + 683283990, + 792067975, + 660035720, + 301439973, + 882417521, + 263532712, + 252582246, + 415834826, + 814869679, + 444470364, + 192660594, + 200194773, + 155917154, + 614048777, + 611072455, + 510328931, + 928285363, + 155911966, + 181789298, + 835248707, + 843602935, + 111209509, + 91012326, + 229683503, + 874416991, + 994623076, + 970498645, + 82404829, + 857781682, + 279764694, + 668911290, + 741130356, + 771839362, + 410927327, + 475595896, + 412909510, + 415407331, + 131879523, + 232845576, + 784004936, + 895206179, + 428529337, + 605485852, + 98737270, + 233281582, + 741576458, + 250221547, + 893690403, + 481079345, + 674263597, + 610176110, + 446606868, + 343164094, + 780632186, + 489557069, + 202248000, + 608914861, + 210384338, + 881333593, + 820608649, + 451193413, + 988795643, + 844576626, + 198234264, + 358468755, + 436796374, + 498152287, + 255467900, + 195734649, + 954184502, + 78596582, + 18369038, + 675796871, + 457729788, + 527331512, + 340265355, + 640161110, + 213741627, + 347376402, + 851426855, + 528827279, + 425849713, + 932705314, + 977065711, + 925446077, + 748008011, + 467472080, + 291514379, + 737341205, + 610389146, + 684435964, + 820693111, + 805908942, + 892710075, + 860163435, + 663339260, + 694001210, + 354596550, + 711023656, + 386261855, + 82972429, + 174108457, + 498352664, + 102485967, + 721835688, + 704424385, + 559135913, + 483849819, + 277956217, + 191278523, + 106466567, + 143695536, + 177164952, + 315304036, + 495156183, + 138215018, + 159543646, + 960663106, + 493036428, + 379780158, + 711547258, + 156599965, + 66294435, + 778763249, + 832138239, + 483022276, + 725965812, + 743351035, + 873347963, + 562634883, + 976641104, + 383669663, + 32339698, + 784727473, + 37742842, + 660689000, + 715929919, + 399474929, + 104312692, + 813353169, + 749138248, + 285400362, + 743295569, + 498606573, + 786916566, + 295437818, + 441338104, + 947674071, + 109442851, + 405626092, + 18345461, + 56061814, + 779214307, + 486140549, + 649668556, + 4098618, + 375331443, + 172899058, + 921789840, + 24348643, + 790324683, + 263383076, + 190155165, + 390979112, + 668922470, + 183526475, + 425830776, + 249650602, + 660949413, + 329674226, + 271581477, + 368724504, + 156218924, + 768246373, + 894281129, + 818389753, + 803078932, + 63488081, + 109713907, + 540595626, + 313142350, + 217560277, + 808537809, + 956409480, + 52070499, + 594825299, + 940581562, + 217446044, + 663847115, + 142919138, + 508143660, + 629432383, + 306190261, + 554267278, + 90312904, + 762193559, + 303827283, + 482080459, + 762736262, + 519214376, + 13009024, + 663398399, + 369416678, + 288577945, + 506003829, + 672454760, + 304269823, + 603849592, + 454130773, + 890929387, + 741085335, + 410580120, + 305084350, + 244753041, + 42711220, + 7180416, + 699907821, + 126631605, + 631008989, + 497252930, + 912400023, + 285043421, + 364097786, + 909741435, + 537788243, + 625141971, + 46705573, + 509880524, + 395860786, + 291662337, + 754546015, + 702284439, + 349096291, + 164382881, + 569660269, + 330392023, + 82898695, + 921738751, + 52697231, + 301372899, + 362059644, + 97827412, + 894383914, + 854812602, + 531556924, + 895887297, + 217497972, + 347757694, + 207613017, + 45761566, + 287340801, + 656976937, + 782474080, + 217718072, + 767168402, + 125217402, + 867480189, + 502474358, + 745404887, + 312222704, + 857847846, + 626480596, + 201816938, + 91037811, + 771020367, + 271153286, + 910336763, + 717802864, + 300075436, + 92816318, + 745890115, + 32765160, + 606166679, + 933971761, + 714994807, + 227242726, + 978364673, + 975922931, + 695243832, + 872804502, + 652947256, + 585880832, + 292584863, + 195257712, + 108132747, + 396424928, + 338151174, + 140230878, + 466974954, + 638582661, + 261435776, + 734339394, + 810738994, + 45000950, + 45307592, + 901926567, + 754377514, + 896860320, + 730316268, + 415807449, + 419263561, + 38073310, + 931794880, + 231021484, + 747950505, + 28637925, + 149658248, + 44504199, + 469290750, + 452206199, + 445931457, + 678906679, + 713681286, + 468098897, + 112475442, + 39155998, + 806968017, + 576981052, + 242279728, + 807633665, + 502239145, + 369417052, + 59447436, + 544823193, + 932016280, + 318020529, + 24749070, + 724509429, + 441323437, + 145190319, + 516268817, + 925048926, + 234575422, + 888009392, + 938944141, + 590550581, + 417878389, + 272305549, + 596720572, + 395521184, + 43028012, + 240122162, + 96683962, + 424729184, + 718756805, + 3199235, + 71333802, + 2260850, + 434482574, + 692469904, + 632674521, + 215445342, + 826830245, + 392400827, + 937920059, + 671816256, + 702556936, + 905195859, + 395085192, + 975138548, + 768604555, + 243014118, + 377155345, + 217013998, + 337803726, + 351553252, + 122578293, + 189822324, + 434298345, + 945214574, + 285777998, + 692416920, + 815933536, + 303518868, + 227537214, + 85577558, + 831528138, + 970515065, + 887628555, + 151712495, + 809708486, + 842457630, + 291881262, + 638671516, + 699902701, + 727472306, + 151606175, + 770032454, + 226963869, + 458415542, + 463517127, + 369568533, + 734316179, + 891115443, + 312898364, + 129217343, + 380255813, + 695790256, + 319627995, + 806049511, + 662099051, + 466183258, + 699991422, + 405141323, + 796070035, + 349543269, + 924321829, + 620059119, + 356657026, + 968587533, + 949762128, + 818762840, + 6337730, + 972788532, + 440447728, + 187753349, + 939005264, + 899381828, + 835587516, + 853138994, + 312120574, + 645085673, + 685620175, + 512218446, + 881241152, + 943583188, + 102073392, + 210669929, + 454192886, + 546470127, + 370061341, + 623489716, + 190356855, + 414713596, + 754664957, + 205268792, + 379961779, + 788323627, + 930202542, + 67338965, + 116156519, + 922392616, + 435853776, + 447243127, + 732688405, + 822428704, + 517631230, + 529133453, + 72395627, + 760620745, + 707719754, + 838562303, + 779656155, + 906075480, + 242779061, + 444448208, + 350000379, + 485386296, + 895807793, + 563220969, + 252416092, + 523830907, + 802784124, + 739680610, + 347218594, + 520027605, + 74656724, + 575392727, + 933534838, + 981293874, + 854708059, + 180389356, + 322974446, + 669573715, + 861156718, + 462012091, + 519456752, + 147118465, + 259546974, + 748128945, + 601184336, + 463518309, + 742007655, + 272266179, + 10667670, + 282988511, + 660415545, + 817636130, + 199180281, + 62077546, + 63663864, + 346528765, + 196749137, + 831786705, + 61192478, + 58554971, + 954367555, + 747105718, + 864316913, + 847807520, + 690616096, + 580347474, + 31288564, + 162861713, + 902201923, + 319830556, + 837629279, + 909537135, + 231080615, + 791933549, + 170394153, + 810627676, + 140600862, + 975194198, + 29913354, + 191004549, + 937110092, + 446563737, + 43630185, + 38050114, + 727844671, + 723189475, + 355664237, + 853758097, + 760708051, + 217174157, + 865927248, + 441220085, + 315691446, + 654690387, + 685062010, + 443482590, + 231756653, + 115465725, + 426955492, + 734511978, + 415049251, + 201590340, + 636530431, + 252051877, + 517528500, + 29837650, + 49783845, + 121238094, + 760011423, + 295618020, + 533822196, + 103292796, + 903714411, + 106145255, + 30367295, + 1364772, + 149273709, + 538774480, + 219400184, + 237644840, + 738187261, + 987837103, + 810873676, + 849949322, + 132557319, + 838074879, + 136929604, + 263490973, + 549700068, + 540089613, + 754181559, + 875555594, + 144183097, + 980019417, + 845657666, + 300979606, + 618766607, + 98416556, + 215958832, + 118402300, + 390606945, + 269796657, + 709330396, + 429680974, + 540503080, + 212202315, + 168278309, + 492224747, + 26553863, + 395495556, + 90167681, + 841319733, + 478550428, + 24242652, + 336549942, + 208047428, + 531085360, + 30697369, + 686982744, + 757998699, + 986923831, + 699766215, + 807483054, + 141019169, + 90368320, + 234683498, + 351464962, + 939459187, + 52856887, + 858573721, + 295763424, + 151223445, + 340693047, + 683997022, + 905644219, + 762139432, + 666885723, + 183895807, + 376828800, + 584124808, + 769312216, + 724698119, + 429038989, + 90018145, + 89098985, + 746118195, + 762461323, + 669816796, + 808929527, + 821214703, + 271671230, + 163840837, + 138354672, + 980331144, + 467927936, + 198769649, + 532486122, + 49122062, + 805533869, + 106478519, + 445992957, + 555837008, + 832519260, + 751287523, + 188174366, + 235900164, + 730436717, + 354043538, + 611759744, + 457926378, + 476021725, + 808848434, + 237722595, + 511618308, + 430785860, + 245224980, + 437741919, + 614376753, + 384953685, + 709729527, + 811122008, + 505425023, + 408164069, + 753800608, + 470906530, + 851338320, + 645504337, + 599706892, + 343713536, + 132686920, + 415065369, + 740126906, + 497194201, + 549479651, + 863266238, + 203106604, + 541960676, + 725983545, + 410464722, + 895396356, + 744558290, + 438552731, + 768176778, + 841523385, + 328735457, + 631045672, + 996711193, + 282922097, + 157547040, + 160772732, + 27950908, + 839951487, + 655769260, + 307052633, + 330023700, + 362701812, + 539310933, + 605132407, + 414288056, + 666395258, + 32623038, + 135894179, + 956840338, + 129816640, + 97400853, + 639169803, + 205282943, + 557646660, + 729148300, + 306940629, + 459876123, + 744028783, + 158410455, + 957540698, + 843177929, + 160066314, + 103031222, + 797773137, + 770923959, + 794551091, + 402319613, + 131232606, + 275298909, + 818545054, + 644228326, + 629899279, + 535409524, + 300910105, + 188447951, + 73496615, + 312009879, + 47765845, + 958621762, + 734392011, + 188304467, + 183341252, + 577659863, + 696826295, + 357402089, + 228770942, + 536625337, + 624338675, + 863372747, + 749915500, + 964970660, + 827542431, + 219439383, + 142986799, + 269744924, + 252843828, + 952376114, + 17855101, + 14540396, + 620995798, + 206599715, + 484202845, + 514309373, + 860197007, + 209769738, + 404520364, + 89149500, + 318770122, + 831859011, + 319625507, + 907709834, + 929304466, + 172289047, + 933000907, + 48088197, + 295190770, + 151750399, + 698442032, + 54179648, + 907425796, + 629912977, + 764963258, + 402963478, + 125723896, + 320669803, + 308212996, + 98806838, + 183768739, + 850529323, + 912065397, + 833576654, + 609702843, + 482255166, + 703250283, + 867825057, + 598425463, + 677346492, + 124961507, + 565848670, + 445337482, + 770393256, + 931579153, + 11610833, + 467405358, + 414485199, + 876448045, + 897080713, + 771216500, + 920775009, + 819484460, + 955077101, + 694091063, + 210805042, + 729813229, + 317290635, + 562162239, + 275812975, + 957532434, + 88348850, + 300391336, + 778587056, + 68681967, + 263627047, + 194029181, + 957921776, + 376032848, + 165222388, + 673472835, + 925358023, + 783151335, + 469760361, + 741455933, + 78073347, + 331001193, + 166190253, + 239505676, + 540621646, + 780685540, + 661411823, + 62429992, + 321639543, + 941227315, + 838225736, + 308686485, + 194115382, + 492979850, + 440127445, + 268848647, + 685371525, + 350174059, + 569350211, + 147073260, + 475617558, + 577885054, + 746703285, + 606107851, + 468736170, + 345594965, + 334166237, + 721121062, + 180308884, + 168254578, + 85490032, + 586891010, + 245153679, + 501848714, + 355485128, + 129706123, + 966700628, + 755289411, + 477792573, + 51883673, + 424960540, + 910889461, + 9695931, + 989026658, + 13759332, + 398503737, + 145731744, + 356830852, + 288727112, + 106591525, + 544777651, + 830974685, + 958081454, + 92846971, + 307716505, + 1122365, + 506198036, + 222702619, + 848566638, + 704315534, + 998119593, + 375340888, + 339529846, + 469598872, + 950299856, + 297638170, + 810432399, + 396501749, + 762651007, + 251975889, + 840855859, + 602269450, + 406064833, + 258437677, + 299089393, + 98992356, + 800427056, + 113362473, + 269931961, + 87130824, + 271746729, + 43141142, + 489233675, + 462961641, + 848803761, + 431772135, + 192484789, + 289752689, + 67362721, + 464363464, + 557660852, + 50823445, + 891575924, + 546325975, + 735431282, + 390508346, + 500717824, + 839723784, + 636085180, + 427197642, + 154411479, + 875470076, + 931215830, + 63994856, + 16899506, + 997012016, + 232689928, + 897179920, + 513793771, + 311425315, + 887003569, + 679187508, + 464242903, + 52119742, + 852496977, + 102997921, + 21956903, + 811297887, + 845808774, + 835970030, + 929595715, + 625691394, + 739437142, + 901567416, + 580172705, + 35910292, + 443428090, + 66937583, + 141754336, + 387760784, + 125820298, + 762487296, + 851797159, + 268636259, + 190732944, + 152837131, + 824281655, + 883186091, + 518705697, + 40895700, + 346123043, + 225327740, + 382318548, + 507661992, + 46307416, + 210032917, + 226375511, + 318140275, + 392574064, + 200838021, + 273466996, + 109160709, + 37303990, + 19170283, + 804642947, + 34224680, + 842518778, + 379185682, + 974288172, + 522391639, + 933345877, + 742200908, + 817227156, + 680735934, + 261457825, + 72340153, + 998228265, + 440471203, + 302386338, + 606448452, + 797470722, + 138163875, + 925201326, + 267177551, + 229744423, + 812099836, + 989741941, + 171814608, + 580356940, + 537711440, + 659448335, + 927897073, + 958512978, + 201236064, + 147553147, + 77022046, + 326823972, + 829529292, + 944457989, + 717636033, + 455738859, + 380750578, + 581606584, + 390344570, + 147964209, + 336930463, + 232195618, + 696704609, + 586970284, + 445591096, + 232615249, + 670650903, + 652245077, + 919744701, + 94779404, + 408657952, + 677980170, + 450611637, + 708318360, + 951896001, + 791125802, + 190241256, + 594946089, + 573411353, + 28281389, + 891573419, + 499017337, + 779769593, + 143818247, + 210535452, + 46597977, + 75081417, + 238287161, + 764954573, + 608978862, + 866644590, + 693742498, + 880760441, + 279565411, + 301143691, + 77417693, + 827002622, + 663146963, + 346542562, + 305129228, + 842674699, + 968860650, + 569364830, + 842324123, + 672564954, + 248526309, + 235883487, + 494366532, + 736548032, + 609558639, + 183669090, + 420768787, + 517101427, + 491494086, + 862168791, + 917819711, + 95976372, + 354177508, + 267773922, + 764338908, + 614699510, + 149336788, + 845697621, + 176409562, + 621121373, + 607335077, + 395908920, + 765421529, + 310200836, + 668501080, + 945690112, + 832374729, + 950134304, + 315767630, + 137846269, + 229036203, + 571093119, + 882236442, + 417892739, + 207182376, + 348345362, + 125791757, + 347900298, + 219511455, + 649456346, + 383288225, + 581730659, + 833016385, + 667137693, + 887539256, + 558607846, + 568329572, + 467837252, + 637772766, + 70959129, + 857560501, + 475377314, + 504640992, + 765168677, + 315428815, + 812297758, + 530935670, + 583651825, + 104216283, + 304840761, + 699441770, + 453046142, + 561839844, + 690160073, + 857750195, + 493196532, + 883742649, + 683942490, + 683977010, + 131618398, + 357117004, + 106480792, + 77372076, + 326919194, + 549861423, + 834618987, + 905821494, + 353637235, + 518163439, + 187349396, + 907580690, + 402278904, + 298189980, + 93522494, + 375607004, + 186778280, + 817451454, + 61469590, + 218089315, + 221933657, + 625433088, + 103228171, + 79394522, + 203543741, + 149899246, + 678978840, + 931771201, + 720204355, + 147526291, + 870538013, + 623792465, + 908449376, + 410412112, + 389430817, + 506263684, + 544015517, + 592988747, + 305887041, + 585706960, + 15375188, + 808478634, + 430780510, + 50020144, + 654673863, + 225516586, + 238308610, + 521417147, + 24132553, + 51477345, + 878332896, + 531133291, + 419675209, + 938460383, + 697449252, + 484488907, + 771916424, + 172638034, + 86248041, + 952090243, + 7331047, + 240898572, + 355486707, + 579380063, + 327393828, + 21649059, + 840250798, + 160490193, + 9534382, + 176724635, + 220038298, + 716012288, + 360771567, + 258603305, + 453681382, + 202258182, + 751217713, + 861587917, + 878714956, + 967653405, + 385456855, + 319205917, + 130179888, + 183291346, + 188871693, + 794921068, + 177896855, + 910931488, + 233122524, + 57036327, + 919308611, + 831518991, + 70800999, + 674140457, + 454005360, + 839196108, + 348756059, + 77410248, + 144781812, + 496822173, + 742340833, + 410547755, + 432295600, + 340696016, + 383137870, + 656652402, + 366479878, + 593777147, + 799262747, + 165752850, + 373680804, + 134879441, + 909195480, + 481487733, + 870628466, + 136289853, + 622086716, + 593855566, + 44947374, + 745125257, + 701563402, + 810394404, + 191315688, + 872059089, + 9727702, + 11357346, + 654960664, + 342918908, + 144119586, + 958133617, + 847678102, + 899058957, + 908101698, + 128144042, + 790019702, + 649700441, + 898836906, + 832403948, + 264982871, + 150473044, + 165141087, + 735105803, + 525359968, + 422953172, + 231666363, + 636695002, + 616901869, + 886705447, + 828547271, + 90687584, + 992927470, + 996542641, + 225889349, + 222587693, + 698307677, + 26140986, + 784250216, + 267233503, + 60936214, + 410743698, + 449066409, + 903325856, + 322827976, + 792800245, + 881096689, + 918297828, + 542550835, + 698614673, + 451396308, + 368997572, + 979158492, + 589721370, + 440079381, + 939945862, + 293388177, + 476175676, + 989150567, + 543950449, + 769356492, + 121842361, + 538697859, + 995490307, + 427815317, + 626509600, + 275806743, + 434144640, + 262728736, + 32190587, + 854499567, + 472762127, + 963005240, + 914738084, + 287317604, + 573638192, + 421131499, + 381157205, + 230431737, + 275458860, + 150187491, + 204953565, + 304577882, + 631267136, + 187877068, + 945933055, + 477662364, + 134988972, + 907446580, + 592200622, + 311569364, + 357738776, + 998623491, + 983082280, + 968903061, + 611072664, + 205347207, + 580654246, + 835532914, + 589687497, + 909449096, + 20935542, + 457217198, + 491698089, + 202644816, + 81077389, + 846973073, + 273357079, + 207721218, + 257001127, + 958703733, + 106043656, + 538495542, + 511145655, + 962692982, + 352127529, + 93580435, + 692376431, + 668737940, + 183941612, + 49837630, + 731315857, + 197168843, + 352144845, + 506513021, + 503970341, + 224321945, + 46322820, + 963806490, + 536977711, + 612105759, + 537965413, + 38847259, + 113237891, + 512058976, + 547417325, + 743719640, + 929095934, + 131732406, + 847518246, + 937086742, + 973674223, + 601243405, + 810918792, + 813304598, + 739884018, + 49147964, + 54945803, + 125374840, + 583267566, + 764334094, + 962367191, + 708121561, + 916580948, + 247330993, + 640680661, + 94566748, + 96817957, + 233780747, + 410653224, + 864494569, + 364301213, + 83012652, + 517205672, + 426144724, + 212009812, + 718984621, + 573491999, + 864288807, + 774435881, + 418043501, + 287830170, + 122813150, + 399080832, + 561893134, + 810433325, + 624437637, + 43683655, + 920990410, + 761588457, + 5929915, + 501999378, + 837240346, + 116915600, + 470698717, + 885786007, + 749873332, + 696670459, + 197112293, + 704696980, + 428337317, + 688353983, + 181536967, + 924343916, + 18148356, + 974079903, + 981877249, + 143865689, + 254451039, + 905101152, + 743353007, + 662270743, + 54184521, + 71484722, + 686192837, + 400502772, + 431527031, + 647327973, + 903585676, + 752160660, + 303737394, + 545602734, + 978829849, + 243036636, + 921334221, + 982753833, + 452962424, + 793957994, + 130125913, + 553293190, + 114555372, + 624677572, + 810816862, + 198197982, + 474192133, + 798324399, + 237709423, + 349588652, + 279645383, + 913382256, + 71293937, + 440776795, + 992449482, + 681254016, + 247035043, + 621853349, + 237982138, + 370190824, + 565326974, + 816124993, + 991280932, + 247745035, + 389207750, + 973675204, + 142201632, + 596953568, + 409235322, + 786971959, + 567248154, + 797398862, + 748126685, + 492029607, + 869849088, + 103832552, + 982925401, + 388236036, + 700802252, + 462722249, + 295764793, + 432156440, + 87252336, + 978404917, + 279644149, + 52128006, + 233727008, + 116818673, + 21323443, + 335148942, + 340493116, + 755880468, + 236384079, + 363304394, + 159830449, + 458480617, + 483437198, + 795262405, + 261379825, + 321947057, + 659316571, + 924108959, + 207112692, + 580339413, + 685070536, + 904497780, + 817661563, + 942928916, + 518970302, + 610943286, + 388326967, + 248039767, + 606645385, + 405797780, + 218260718, + 569245356, + 838890325, + 862448791, + 420055193, + 889929622, + 312556153, + 715530133, + 157093240, + 211748696, + 870394365, + 278754193, + 57780127, + 867919930, + 725175898, + 446198986, + 482739813, + 224731710, + 326021778, + 712239752, + 874418387, + 819849946, + 349634452, + 371363868, + 15068087, + 292631152, + 46655874, + 884191712, + 808233795, + 882686212, + 880101290, + 948485162, + 436484433, + 344867116, + 919340761, + 45964043, + 494048203, + 242916101, + 898185085, + 990289696, + 895636314, + 335728325, + 639764796, + 178451461, + 387738245, + 939112765, + 405638860, + 260160649, + 334422926, + 787792314, + 734060715, + 716446050, + 387822203, + 352728343, + 707267841, + 472565511, + 646748158, + 408502436, + 402524172, + 909809065, + 337739192, + 149433203, + 629518512, + 364350079, + 906067810, + 301316119, + 22519887, + 609076862, + 329318412, + 222903723, + 192319192, + 561612654, + 657010639, + 872713229, + 259792888, + 368383239, + 469139659, + 770838847, + 527292355, + 546492521, + 249814918, + 412359095, + 418304604, + 145124018, + 184897588, + 759362067, + 424173623, + 803811158, + 438884343, + 793227300, + 911562664, + 128773676, + 88075407, + 256080858, + 337733147, + 405375826, + 952302343, + 465453117, + 637453413, + 59522115, + 953710956, + 178223073, + 509201999, + 384796276, + 340827312, + 724033228, + 648398647, + 764749989, + 7691524, + 268883614, + 726200738, + 790363458, + 163234576, + 980932739, + 485347221, + 9501766, + 884406147, + 679921443, + 246739651, + 864324046, + 601842621, + 612545934, + 744645769, + 668811877, + 687625126, + 306131768, + 649445217, + 121694244, + 466249364, + 564974407, + 865997, + 638040307, + 559768020, + 306105440, + 291987153, + 978801326, + 342907459, + 372230598, + 348626476, + 294771142, + 89609539, + 410134279, + 236854449, + 384997951, + 157190076, + 54676408, + 543322515, + 379564305, + 206424112, + 218880549, + 657175320, + 90879541, + 631032936, + 868144783, + 415867004, + 577701991, + 897638201, + 861996781, + 424167318, + 246924552, + 269515001, + 339967367, + 817477559, + 195962604, + 61088570, + 459617793, + 555383826, + 161591582, + 914620268, + 719753943, + 299952796, + 721756184, + 663735613, + 767545275, + 497076058, + 995891990, + 940544546, + 642951002, + 19187792, + 539846558, + 747738362, + 304318150, + 109603633, + 328643822, + 6334334, + 454304234, + 620333433, + 958482083, + 829335015, + 543987775, + 942221641, + 65395104, + 809243864, + 32171646, + 848375333, + 52937571, + 561600628, + 713140960, + 104705326, + 840947407, + 77380374, + 421187709, + 257725900, + 630497594, + 109155437, + 13496256, + 7027641, + 847261075, + 469542354, + 482691327, + 541271750, + 643965167, + 212614188, + 740096501, + 724492318, + 951706084, + 255081134, + 997385736, + 170225504, + 195701050, + 826798081, + 897334106, + 924983957, + 531672707, + 500622748, + 193127076, + 923378497, + 489452936, + 190324202, + 885820526, + 123951688, + 572354792, + 230851608, + 454458933, + 103945799, + 19742192, + 225004856, + 754154749, + 668052526, + 447030515, + 458330384, + 204481567, + 742389942, + 475271841, + 799303958, + 967803038, + 123797891, + 937499720, + 598346441, + 934679920, + 492158691, + 560166987, + 484065126, + 251261078, + 861848615, + 927437178, + 58879008, + 365326610, + 239587810, + 969217903, + 208273084, + 889677732, + 327784389, + 476776332, + 743915838, + 893909537, + 579898947, + 436375113, + 163303483, + 351473046, + 858210984, + 975315604, + 918199619, + 322451666, + 401522381, + 328592514, + 569206933, + 681160030, + 517443431, + 647701337, + 126973372, + 365607183, + 275640930, + 603949359, + 272137161, + 137510109, + 134932725, + 729714695, + 303929323, + 714754886, + 797200648, + 773618260, + 749945903, + 346065709, + 916592688, + 848750809, + 858966919, + 746524649, + 220689568, + 379391878, + 209067542, + 586271650, + 646667800, + 674592007, + 164279989, + 925683817, + 664992378, + 587397964, + 556434936, + 984841000, + 950674472, + 817766443, + 127469420, + 170271031, + 445905382, + 24857217, + 58497020, + 858941753, + 21622432, + 739312450, + 866449283, + 696756995, + 957443137, + 359831477, + 39971710, + 276757105, + 721984151, + 805619895, + 692758397, + 703520476, + 502005674, + 830858704, + 568269083, + 240705675, + 26528451, + 562047714, + 762514850, + 224407111, + 625974702, + 57551794, + 851179568, + 442769118, + 828423142, + 126792011, + 65476375, + 737862463, + 452679994, + 804524025, + 97871468, + 772627534, + 143168647, + 681467550, + 753035439, + 178165489, + 37360048, + 141895120, + 69731650, + 387557439, + 953699554, + 365006433, + 4503937, + 117605657, + 128785937, + 764486238, + 373121517, + 366856764, + 266018339, + 12016910, + 57727480, + 949875823, + 60109248, + 937049558, + 356253387, + 655275280, + 148809862, + 770690965, + 599682049, + 959473274, + 640470859, + 96853455, + 343031827, + 938464324, + 184510900, + 396137157, + 85852136, + 818576117, + 18251312, + 745146817, + 797642866, + 959556096, + 64472827, + 295270067, + 400169634, + 610269567, + 935059624, + 178623337, + 788406711, + 779053261, + 887261374, + 842013365, + 167741105, + 186406966, + 315749591, + 666111826, + 788478927, + 544039460, + 271477857, + 780662713, + 155344262, + 758375995, + 699862908, + 581282717, + 147218367, + 716305014, + 959760997, + 926389988, + 929140846, + 392260406, + 68564114, + 15825844, + 551604500, + 264952869, + 776423136, + 727025160, + 75302401, + 298275570, + 725561276, + 111046068, + 158784883, + 455990605, + 832648632, + 192202949, + 828447853, + 126706611, + 218106264, + 872605949, + 981107668, + 788355609, + 781408364, + 215710836, + 931500942, + 777902065, + 944123306, + 761466686, + 769152492, + 625340031, + 352697681, + 146353908, + 779967552, + 555346655, + 501672712, + 700310870, + 888767711, + 304734439, + 978808424, + 839072937, + 413472761, + 821354395, + 433881588, + 557823424, + 466618555, + 628216666, + 505991582, + 304676025, + 778786881, + 606553737, + 435243067, + 230748972, + 975558835, + 274478523, + 273993377, + 381162478, + 906447076, + 874876543, + 449969735, + 975508495, + 221438406, + 678510554, + 457659814, + 348078205, + 961096661, + 386484980, + 661822316, + 849950842, + 92610978, + 988451749, + 119981822, + 442173268, + 107755934, + 664577333, + 315719330, + 584239568, + 712964785, + 100526588, + 702342986, + 536630276, + 485135363, + 426830120, + 618965641, + 243833435, + 903227304, + 680776349, + 660440213, + 592199426, + 161167338, + 882776716, + 877711831, + 217127295, + 431054338, + 322253183, + 542353710, + 788729975, + 259116528, + 414216552, + 67096084, + 803873586, + 102400143, + 844823147, + 894421320, + 514914512, + 750703452, + 355734805, + 849089321, + 206337560, + 285208440, + 980480103, + 29617520, + 720066038, + 381188055, + 494950789, + 921521495, + 773068380, + 750932270, + 260692880, + 700345056, + 621474986, + 782054060, + 218288008, + 461612318, + 406649063, + 747050581, + 183844806, + 324438875, + 487052918, + 353976719, + 532415919, + 442308979, + 623743307, + 867511372, + 114428454, + 249870323, + 978869848, + 734637023, + 821028611, + 953570227, + 403176789, + 660798578, + 659155050, + 23398762, + 458817254, + 778699758, + 533556307, + 784276353, + 104105705, + 101949013, + 62024764, + 144794709, + 57260185, + 135650117, + 306616028, + 502850188, + 920929728, + 129182216, + 531306083, + 66315988, + 508927804, + 618669674, + 995812656, + 174302636, + 44606659, + 564933554, + 712279812, + 870487766, + 468889845, + 477207091, + 374364754, + 917457041, + 193305922, + 482477177, + 460046275, + 958480065, + 924161715, + 53591722, + 686803660, + 592435648, + 334938437, + 848928216, + 860114560, + 895465398, + 388239620, + 424655699, + 405496470, + 848272851, + 59905340, + 199838852, + 306193026, + 919210633, + 43961359, + 611583473, + 885169439, + 88403258, + 650286809, + 307424617, + 286341211, + 195467346, + 696715099, + 341904601, + 936452287, + 256546332, + 621395517, + 617004720, + 156668623, + 180086627, + 617438043, + 975296934, + 203993633, + 447743213, + 954330356, + 675295980, + 151960512, + 213292344, + 862418574, + 338012598, + 499325895, + 312526834, + 128071257, + 821086891, + 840542934, + 418114893, + 385213295, + 622400142, + 506309419, + 959054169, + 941816955, + 621327568, + 225500220, + 637699723, + 191162819, + 668110916, + 820889868, + 732556544, + 159051300, + 136828892, + 112537982, + 1049591, + 226275921, + 569103682, + 631937958, + 221578466, + 792940384, + 511107925, + 94485838, + 595070749, + 4051397, + 600148491, + 974500342, + 217343604, + 742708990, + 21287671, + 718505937, + 186820208, + 844995109, + 347071681, + 967262711, + 962649898, + 880825407, + 414576718, + 402377796, + 785932603, + 871309443, + 954355569, + 984224236, + 620816823, + 60617627, + 309980989, + 466180849, + 784383663, + 824074745, + 433464929, + 762322753, + 132380813, + 293653208, + 779334338, + 380711669, + 736277422, + 520751184, + 778899273, + 435323494, + 374886812, + 802486854, + 537043093, + 198905466, + 21874450, + 299538696, + 884026010, + 730893542, + 549421630, + 911845655, + 21152504, + 668061596, + 98145981, + 456789519, + 537043877, + 384027312, + 669336959, + 155717032, + 520203384, + 811119976, + 185775413, + 707556582, + 799094231, + 79431578, + 974708331, + 260917224, + 743201808, + 574780871, + 5437542, + 237597653, + 276254756, + 289631444, + 371812601, + 103331403, + 803140243, + 381018792, + 607726771, + 224139194, + 731267007, + 637708238, + 497652408, + 658315640, + 51634200, + 130593890, + 664242238, + 602060321, + 630844718, + 353864997, + 579353069, + 100958297, + 677081430, + 279274768, + 273432432, + 778443025, + 604093941, + 241580638, + 123730917, + 464271532, + 181067248, + 604121535, + 22599994, + 754842329, + 931573915, + 218416559, + 803372107, + 859774763, + 193105272, + 764926510, + 185821439, + 891598028, + 268046324, + 875369656, + 776429459, + 613845821, + 537186713, + 724752047, + 314656705, + 493388312, + 8905743, + 602833968, + 317692811, + 747473099, + 955896338, + 294146083, + 403868251, + 915107609, + 973038955, + 362418666, + 415354546, + 815690291, + 880179391, + 186539843, + 459769167, + 247473741, + 610701359, + 831437228, + 301347713, + 191768750, + 110338729, + 909369128, + 755811465, + 264836516, + 161390554, + 667072699, + 25813167, + 94636033, + 153191439, + 138894764, + 290790843, + 944438890, + 178643569, + 733867365, + 722419305, + 540404350, + 625423067, + 220047260, + 597117590, + 210317285, + 218923363, + 596091985, + 495879607, + 838793463, + 931495532, + 150388087, + 80243195, + 567796458, + 233306825, + 836982172, + 390360891, + 509155105, + 189817312, + 648698670, + 107729866, + 688106166, + 177214180, + 816403263, + 289510864, + 483807502, + 797552663, + 615971149, + 849654771, + 366485819, + 116456478, + 558071273, + 288813945, + 276976725, + 386736390, + 606527089, + 164856560, + 632808075, + 188015630, + 464508152, + 332711203, + 887227350, + 18839165, + 535439306, + 251897815, + 989127341, + 511527393, + 666874554, + 528822371, + 923493584, + 812481270, + 888467761, + 349320130, + 641253874, + 225338867, + 669170361, + 101434501, + 835231909, + 542424022, + 582407262, + 24999951, + 649075563, + 774735650, + 398377246, + 12444859, + 254060160, + 248832777, + 799973175, + 880318784, + 121940336, + 899314435, + 996693628, + 344609321, + 450585720, + 334158157, + 914454248, + 553638021, + 175336613, + 169342321, + 406594046, + 754739644, + 719640390, + 686926181, + 12653286, + 443331116, + 951328723, + 682068013, + 344763484, + 91563703, + 132505775, + 588088306, + 39910723, + 642605663, + 336668320, + 671166180, + 194126121, + 545792429, + 427178670, + 113603170, + 788452941, + 846221591, + 366830206, + 823282557, + 416713030, + 794552248, + 655075304, + 762714669, + 664025349, + 648690244, + 447010650, + 480311427, + 814404251, + 551314622, + 652970459, + 160818817, + 602778793, + 810757979, + 981892289, + 585355713, + 291223659, + 512020549, + 783357923, + 997942154, + 428297153, + 719113687, + 354020740, + 799818940, + 711319465, + 769221102, + 333389329, + 988537082, + 535653376, + 692061719, + 916965284, + 926271918, + 455134176, + 346554337, + 150825737, + 642110139, + 813968234, + 990079920, + 309972914, + 525666570, + 597789529, + 555873158, + 361477517, + 84750527, + 53958534, + 97004562, + 129194641, + 407863504, + 421317610, + 882816221, + 311060780, + 377498439, + 528887312, + 154987413, + 728801668, + 879930164, + 152261073, + 696851005, + 797224722, + 485830967, + 206899034, + 11096761, + 544671870, + 679066320, + 728305965, + 897208518, + 61373589, + 687793406, + 342303329, + 505587565, + 465939166, + 364388972, + 994693045, + 348979502, + 317656066, + 441605598, + 691909307, + 555700080, + 589685958, + 613943657, + 121529867, + 460592831, + 773356650, + 934048964, + 448827760, + 60533702, + 424619305, + 863919174, + 566484608, + 284281721, + 516926078, + 156977383, + 612086608, + 326466502, + 861994200, + 197325612, + 307643621, + 672737134, + 721959868, + 986586649, + 51345927, + 13845429, + 813200704, + 283897605, + 641764882, + 74808605, + 636557748, + 132251089, + 999452299, + 693022041, + 828291602, + 165397557, + 643720680, + 196265477, + 710651969, + 578424128, + 705982219, + 775725723, + 113934936, + 448194891, + 317404991, + 902347115, + 355602135, + 441996159, + 117784421, + 608223092, + 42907799, + 583903579, + 98987109, + 196196859, + 688686805, + 203778743, + 617713405, + 416882988, + 690269196, + 863160343, + 489851548, + 572206025, + 751735062, + 642024234, + 831564942, + 849060480, + 143571670, + 182367099, + 686044101, + 250974424, + 997578209, + 49936750, + 701899265, + 748501921, + 663697102, + 424516478, + 253173287, + 380219773, + 874829943, + 328857099, + 8285295, + 645860944, + 601054489, + 535816651, + 490966589, + 837717487, + 739348292, + 780090507, + 741211562, + 838968349, + 490779681, + 213074648, + 534309005, + 602571237, + 680364669, + 74048724, + 652852467, + 156110737, + 396305226, + 120520332, + 573322189, + 553152379, + 460866485, + 997855802, + 915198829, + 906335111, + 972661162, + 606172666, + 103219447, + 193012432, + 566448223, + 705351327, + 579582611, + 279387768, + 956908241, + 548837386, + 960540956, + 457195820, + 61880891, + 129822773, + 890541033, + 729212946, + 40754628, + 498962213, + 518054458, + 187940764, + 974939618, + 40003675, + 379003324, + 669598291, + 828413076, + 735721619, + 68303580, + 161112975, + 962782957, + 805641333, + 761336413, + 597615160, + 246918620, + 672546122, + 541026720, + 300682168, + 282160339, + 504023092, + 819141190, + 803916780, + 185897413, + 234570134, + 586760222, + 973680801, + 891627255, + 977399625, + 701474008, + 80010761, + 223723702, + 276498347, + 427904166, + 384264781, + 435998967, + 429361665, + 189364543, + 105078895, + 968728656, + 222634353, + 568562898, + 548943639, + 780498355, + 717133325, + 415809469, + 100938973, + 362222048, + 57846075, + 343860192, + 929811642, + 715435242, + 867758175, + 317219671, + 963108024, + 930237044, + 722607469, + 646486903, + 623859000, + 923185547, + 610007757, + 237695957, + 568169033, + 686443366, + 331100054, + 482667617, + 902446397, + 471781358, + 420369246, + 63074917, + 803586196, + 276458524, + 96401471, + 613183697, + 75405555, + 816679253, + 34033402, + 823839212, + 431906199, + 976388635, + 732890855, + 984399007, + 917231263, + 870395574, + 310782198, + 31255985, + 568809609, + 659279120, + 992192259, + 570259363, + 821312516, + 446391583, + 765023793, + 440540219, + 614113763, + 797605388, + 955129382, + 771128241, + 251331255, + 459215269, + 571153529, + 845407564, + 668809571, + 391894495, + 939989868, + 794605374, + 298588192, + 342844815, + 136471262, + 611057424, + 10567368, + 853074887, + 661334513, + 361997341, + 76642646, + 326278249, + 424623068, + 310946525, + 872621620, + 345678837, + 840443269, + 251072177, + 998820581, + 74761154, + 376172352, + 165438335, + 205372471, + 947599248, + 594933599, + 323892786, + 110732312, + 934107551, + 755117712, + 684497106, + 332373521, + 966460779, + 959572111, + 376923176, + 168339182, + 157030501, + 692569008, + 356101832, + 444559752, + 701815442, + 999471023, + 83565487, + 552090671, + 231321574, + 973431675, + 106109794, + 389400557, + 978698842, + 575607457, + 333737342, + 518132327, + 421729486, + 489038833, + 800984012, + 851467040, + 289850681, + 2682046, + 768423857, + 879851517, + 378041509, + 327844750, + 371449108, + 182527083, + 535692937, + 170519470, + 213085981, + 438011762, + 146947965, + 832195994, + 757421902, + 294421857, + 146126972, + 665235827, + 332067741, + 608291245, + 71328629, + 104646507, + 908591538, + 240888983, + 449158073, + 721236605, + 213422194, + 264741975, + 12517408, + 742671332, + 45335208, + 152731904, + 541058897, + 309049783, + 31396934, + 308027326, + 446545631, + 287434876, + 894977433, + 879788724, + 134719042, + 924012622, + 183152278, + 479093175, + 142163347, + 697879092, + 226906144, + 893587031, + 182236184, + 691837785, + 646137529, + 585729178, + 655647302, + 217892129, + 372930950, + 978137315, + 34075700, + 899703080, + 388196861, + 315124381, + 326639639, + 876783181, + 736765908, + 934713990, + 56939417, + 723242578, + 664513107, + 167427437, + 715163748, + 510395040, + 363679724, + 326906178, + 403370801, + 644422044, + 796901191, + 446619533, + 891551502, + 355243781, + 639385994, + 593289507, + 216185604, + 951084061, + 845477582, + 221726010, + 542406670, + 484382801, + 352547884, + 369977233, + 978332185, + 67723407, + 181749415, + 715553377, + 369563763, + 364179984, + 62953923, + 149875435, + 729696288, + 461254477, + 142360306, + 995619786, + 128180158, + 45633921, + 711421157, + 12087500, + 38438450, + 953855183, + 269043835, + 989531959, + 197820113, + 581648986, + 580094700, + 279163473, + 20699517, + 319853982, + 170047027, + 766433520, + 600661870, + 342345627, + 555334845, + 907320281, + 612455656, + 222629662, + 324093245, + 793628597, + 401682571, + 452110779, + 839989854, + 925348758, + 612137187, + 907251748, + 945027389, + 457695133, + 698431960, + 454882839, + 920749327, + 121987979, + 145731689, + 742812067, + 901273200, + 377318696, + 445308584, + 654769159, + 971819270, + 950650498, + 841968317, + 198460939, + 907641004, + 118688991, + 663503198, + 336998394, + 906547676, + 927912941, + 104319635, + 322877796, + 701957861, + 285566221, + 296144828, + 205096694, + 769888362, + 666307110, + 821293422, + 111440834, + 572393343, + 697502000, + 49292291, + 56557194, + 421528945, + 23557997, + 790716518, + 862547671, + 12061898, + 935935100, + 165797170, + 529281400, + 389258416, + 924981975, + 134850389, + 264415526, + 780895323, + 380762735, + 414566725, + 120808470, + 250028124, + 878314481, + 280482046, + 604790169, + 35510675, + 215776754, + 87741477, + 187611631, + 531541918, + 190986471, + 244058796, + 531056196, + 931320782, + 5046418, + 435237574, + 198775258, + 493050179, + 255357929, + 8254578, + 586374550, + 64450647, + 798861546, + 30605413, + 961788412, + 452796185, + 438925542, + 797651112, + 517067610, + 375573359, + 903626820, + 332024983, + 598418413, + 721557877, + 134648850, + 142294315, + 409380821, + 71077676, + 687771565, + 238727977, + 205906346, + 251878111, + 693286740, + 477311361, + 642216487, + 204328101, + 378809136, + 135698332, + 501293958, + 999858669, + 756195399, + 951795192, + 659802489, + 573216290, + 154277792, + 378515086, + 45234371, + 986077772, + 928260284, + 286327693, + 247705055, + 972436019, + 933803126, + 225839632, + 672394262, + 59244389, + 538566909, + 342152601, + 360604800, + 244575393, + 309412647, + 58016929, + 155510656, + 904633120, + 885103746, + 636008381, + 682853015, + 131878307, + 574863962, + 381327427, + 783937115, + 3073240, + 753915855, + 120174123, + 11183460, + 448523721, + 223318412, + 696229110, + 391337329, + 879133223, + 886459375, + 43334606, + 603398800, + 169378545, + 321119632, + 563650026, + 359960607, + 478190633, + 967812347, + 670734819, + 965697399, + 322269337, + 935879025, + 309937574, + 835476159, + 140304554, + 508818759, + 235889315, + 290880868, + 424595930, + 669385053, + 606199577, + 946151756, + 486633141, + 542869934, + 194733517, + 678230302, + 590327166, + 180338630, + 967753599, + 364867250, + 653265840, + 626306663, + 653821258, + 790569169, + 370028191, + 58053464, + 623810120, + 310582804, + 812919829, + 340760981, + 929809532, + 156593119, + 775965862, + 450304838, + 940328811, + 540297388, + 566030216, + 875008671, + 424442756, + 366130564, + 215030325, + 781192051, + 470671711, + 341480079, + 832986314, + 271651497, + 971387220, + 223225512, + 109541483, + 98779104, + 750713318, + 92378757, + 6859113, + 182333567, + 611641187, + 606452042, + 649260738, + 857763970, + 670092824, + 114256277, + 397999546, + 270182640, + 696925856, + 627795690, + 612858430, + 382057972, + 141019923, + 221673621, + 943511467, + 897913880, + 799902534, + 853670517, + 276015049, + 941057534, + 323786935, + 565205033, + 73897872, + 690051821, + 272795635, + 181133081, + 761146177, + 998152620, + 894449856, + 55662529, + 680673704, + 418409816, + 282446005, + 320970167, + 828432036, + 544727516, + 656296779, + 897085684, + 415644642, + 410794140, + 683325877, + 348548182, + 606019032, + 214287859, + 956395855, + 779859894, + 950888846, + 446009650, + 578512862, + 772122554, + 155458250, + 48323652, + 48904626, + 300741321, + 941615327, + 816132500, + 97988138, + 386453479, + 971074259, + 34129137, + 74856043, + 556175303, + 183767995, + 953938141, + 140218999, + 773623377, + 705437697, + 553277748, + 304511793, + 464777142, + 307453946, + 965946081, + 628458057, + 444393825, + 83204046, + 554215230, + 495225563, + 673740304, + 343313388, + 822283656, + 382551260, + 842139987, + 154741685, + 998692997, + 431490745, + 666332010, + 70840739, + 344435595, + 503814180, + 361648899, + 69673624, + 396106029, + 919287027, + 237443506, + 129028322, + 649632673, + 643091982, + 863778016, + 714495174, + 294974369, + 369205787, + 774236615, + 959847610, + 313259742, + 328775789, + 83149703, + 677475830, + 48346173, + 303705428, + 428390714, + 852899250, + 181280105, + 275088947, + 364313094, + 170219768, + 985825791, + 609582807, + 836674014, + 331615886, + 608846876, + 487840278, + 332385535, + 982096843, + 833680889, + 167818654, + 149659478, + 395058685, + 720131343, + 891595156, + 181078893, + 710531531, + 528985133, + 541603490, + 295430049, + 793269684, + 435422980, + 192649970, + 389608300, + 332764541, + 670598120, + 375747337, + 919545420, + 120339623, + 857125658, + 366371305, + 488435609, + 745524541, + 500710969, + 372503141, + 555409562, + 416611128, + 824166430, + 5366239, + 812407106, + 389726338, + 132835448, + 657796922, + 487766040, + 301891684, + 674541748, + 907499268, + 20493847, + 512509414, + 434051534, + 97328622, + 648713540, + 748361958, + 312096046, + 460977171, + 520157474, + 823534440, + 118902406, + 352196258, + 545719025, + 685397487, + 611547958, + 579246881, + 623986621, + 801137817, + 514798694, + 870554525, + 765031680, + 887626602, + 830417326, + 327602502, + 375943900, + 391392680, + 97070941, + 924099829, + 856027264, + 466058750, + 242723160, + 958977794, + 772178302, + 578882834, + 537868354, + 11175285, + 265160163, + 216901078, + 864082709, + 411321312, + 175156176, + 916917424, + 658900903, + 983235257, + 34835407, + 636893629, + 280803227, + 721419129, + 272461144, + 302856333, + 403501096, + 288669606, + 166571990, + 916131185, + 46162351, + 430006993, + 114653498, + 288799765, + 899578561, + 275549129, + 569652145, + 324701836, + 1875303, + 482716120, + 610301647, + 627794615, + 487597851, + 717844277, + 697810555, + 788719125, + 116402961, + 738975643, + 973484900, + 536322670, + 557256334, + 908277164, + 685673762, + 906592163, + 218820863, + 826513311, + 274694662, + 315775122, + 61354141, + 35465867, + 889797638, + 750329664, + 247359149, + 532503412, + 502564790, + 350479125, + 896668487, + 414950330, + 66456487, + 911033631, + 260714817, + 181897186, + 202561872, + 659860146, + 852560796, + 214582526, + 368642735, + 298786189, + 238348637, + 114491395, + 199581978, + 919899234, + 717936090, + 357843640, + 42839688, + 616869572, + 761002970, + 249999570, + 889837565, + 41815749, + 65547404, + 866345401, + 432242203, + 387014628, + 497578246, + 224908865, + 181826966, + 995061775, + 620398167, + 560954585, + 51454265, + 415167881, + 708656130, + 787798616, + 98440804, + 8858604, + 357618466, + 79457452, + 111361879, + 970301626, + 216452259, + 629158998, + 671704115, + 171998451, + 16400126, + 182899640, + 800823797, + 126179484, + 945175625, + 752939346, + 486262078, + 579207771, + 60233303, + 934324250, + 477164241, + 704773734, + 968726247, + 231838489, + 199168586, + 371867382, + 415458101, + 950943820, + 410206779, + 407288493, + 582075807, + 721761189, + 830502828, + 399803303, + 955096460, + 152924116, + 20220866, + 161722301, + 388201078, + 411807067, + 859342636, + 987323727, + 53031590, + 805034595, + 330356368, + 575723296, + 536743629, + 543626306, + 521729886, + 206765919, + 785991466, + 580096849, + 521515133, + 434562047, + 556307588, + 939322682, + 817297046, + 794833872, + 384556647, + 4313793, + 458235044, + 455404722, + 925745644, + 628283037, + 662188194, + 507617991, + 774944185, + 828570107, + 529834394, + 42713807, + 69430001, + 716764644, + 230940883, + 236469759, + 666626314, + 664376059, + 699738623, + 547776724, + 489613746, + 974181104, + 774946431, + 682416961, + 265235444, + 797621309, + 877510381, + 772980288, + 821331446, + 669985597, + 227736732, + 707456213, + 387789135, + 921484511, + 851853396, + 192041143, + 161882318, + 303050777, + 784432021, + 322640723, + 939681766, + 429009550, + 955890862, + 468996983, + 41882248, + 897001964, + 618987720, + 918771425, + 437932275, + 959996704, + 171013700, + 543958350, + 768017712, + 648073123, + 426704184, + 292680221, + 657338124, + 53855757, + 732369515, + 823824844, + 936723658, + 243365791, + 734170736, + 268921794, + 238745686, + 718077499, + 340336555, + 193048826, + 939051858, + 401680815, + 776495511, + 37811560, + 161162867, + 71891779, + 932714216, + 484671645, + 125311421, + 366648980, + 967835435, + 594226713, + 452726897, + 397078953, + 459942300, + 645922101, + 370982862, + 178327433, + 740961494, + 247235985, + 489273009, + 640398526, + 448972260, + 300308494, + 92979829, + 730202887, + 715176701, + 442607006, + 976015976, + 21512421, + 936079806, + 557395777, + 213111955, + 154457733, + 343863899, + 369675646, + 560377946, + 821362058, + 198441120, + 34506, + 219156442, + 834328434, + 413242828, + 133264799, + 782538136, + 528807922, + 262796359, + 243445268, + 752862591, + 913668985, + 723762954, + 782149407, + 105155413, + 547863054, + 597081252, + 117111390, + 48996982, + 381258190, + 240176444, + 870447696, + 71297629, + 80494637, + 337682441, + 299450100, + 641691928, + 855818562, + 580974128, + 692534427, + 258924276, + 121369905, + 645227762, + 412094442, + 652612758, + 5609803, + 683296288, + 9128385, + 228792651, + 955482721, + 732616446, + 26817283, + 578985578, + 94866638, + 634428239, + 865265271, + 934888072, + 41188567, + 889006559, + 408000921, + 130754530, + 665767456, + 99602089, + 19951446, + 615721558, + 518219227, + 628630694, + 556925096, + 903825149, + 32830901, + 295429912, + 164155610, + 85515511, + 329495171, + 653717766, + 867037956, + 868811889, + 503736078, + 143056487, + 815541232, + 580572643, + 851302550, + 167949182, + 706801509, + 978664598, + 974272189, + 59904777, + 192789922, + 222206199, + 22694988, + 224897925, + 808194159, + 597868072, + 978640002, + 153235535, + 433571529, + 919356097, + 217312416, + 797795321, + 846811650, + 291409879, + 247848910, + 824317636, + 559318742, + 841447317, + 211146269, + 969170505, + 868378846, + 774870779, + 745335720, + 464643032, + 819072204, + 605020134, + 151522012, + 18157212, + 602221834, + 981629953, + 856875383, + 902025912, + 893420676, + 774686948, + 20074112, + 996679551, + 756325216, + 266057955, + 35550994, + 413361283, + 868158324, + 516666393, + 638902791, + 574967182, + 497235205, + 607280129, + 559452937, + 484464601, + 753525929, + 195090415, + 860429825, + 760935235, + 279313873, + 98758199, + 184961688, + 966458707, + 786786025, + 638471228, + 255114608, + 401817915, + 677990793, + 38968704, + 576806925, + 717117419, + 714212758, + 625281086, + 994805658, + 362286692, + 545667352, + 897088601, + 281752189, + 700771217, + 190549203, + 7709977, + 364917112, + 61467411, + 508754408, + 665606228, + 734674823, + 459278667, + 41869865, + 536351162, + 126761771, + 640637941, + 790410062, + 132693434, + 559226521, + 355658466, + 383098232, + 648955790, + 210894114, + 221663872, + 204857886, + 519399668, + 574824314, + 748532394, + 933844992, + 628084076, + 82310208, + 166091775, + 876796838, + 796421679, + 267193022, + 338431147, + 502521184, + 685215617, + 981566971, + 131052398, + 752685943, + 12151326, + 91367253, + 282218295, + 886922080, + 642362925, + 482556015, + 588730177, + 638788591, + 126886894, + 51055613, + 916571218, + 997565145, + 171128135, + 22776854, + 855461297, + 425920701, + 488000072, + 697492469, + 157943966, + 150884971, + 625030658, + 282464407, + 230756062, + 657468927, + 544656639, + 880543587, + 117783684, + 199314509, + 460609045, + 200266911, + 652160962, + 326050354, + 863783819, + 355880856, + 475342627, + 510934703, + 272076972, + 266881173, + 892110553, + 953125345, + 189666092, + 718093968, + 441402075, + 800280757, + 47727750, + 129587245, + 603995551, + 883782484, + 603853440, + 877371209, + 374237467, + 76189334, + 211029409, + 9961218, + 171974100, + 569244796, + 776646544, + 323590865, + 935751798, + 367183785, + 918666532, + 998371396, + 109672162, + 597171037, + 837895739, + 242141100, + 997673183, + 965715293, + 530946749, + 162122103, + 597710444, + 406211400, + 546903222, + 47482574, + 39854599, + 99056203, + 659394165, + 825356380, + 655099454, + 537486204, + 984678319, + 229129836, + 314970894, + 379519867, + 376500377, + 2734131, + 878291775, + 102364497, + 263014209, + 488443588, + 899838615, + 791732369, + 645638, + 496098463, + 889467075, + 379407716, + 104010431, + 391792954, + 215478045, + 687761543, + 85469326, + 712878761, + 585737540, + 974802858, + 54681702, + 256988701, + 65391111, + 29581851, + 397966530, + 419820542, + 365301768, + 144512771, + 31330663, + 118580966, + 431017042, + 519379876, + 25468884, + 887632435, + 942010027, + 360869422, + 712750589, + 942730832, + 914935629, + 584981030, + 342202287, + 908759822, + 631383359, + 598502981, + 445720045, + 872305194, + 125975331, + 740894874, + 334000455, + 545945098, + 498712720, + 874886883, + 689524010, + 101384559, + 495440000, + 295956827, + 285220180, + 379111771, + 609119657, + 485366008, + 913694104, + 6432647, + 240833940, + 906361622, + 125676768, + 541222654, + 190913386, + 446198045, + 276352106, + 213930628, + 661712241, + 500850579, + 454283711, + 218360594, + 845910646, + 990919068, + 958509152, + 977598256, + 899741200, + 380851268, + 332875603, + 862190244, + 332127660, + 228506317, + 824721350, + 869994422, + 38469217, + 619595089, + 231146114, + 846278251, + 651334560, + 61745902, + 56293196, + 991703862, + 610698607, + 881959700, + 152650584, + 167470984, + 857517335, + 863802000, + 208389484, + 918737362, + 401613108, + 96543939, + 881675548, + 662898596, + 35887940, + 536427009, + 366700501, + 560039213, + 346010475, + 534359799, + 74814220, + 136016333, + 268982872, + 95334056, + 626238233, + 49234339, + 836191625, + 85270267, + 825533730, + 925050071, + 749139021, + 464862952, + 270579900, + 162481514, + 892564544, + 352538413, + 299769746, + 995493562, + 982483625, + 763203857, + 489391816, + 977136474, + 855206923, + 351333533, + 457457881, + 796144834, + 844933990, + 406817045, + 896154628, + 291828623, + 124626303, + 704072722, + 599689686, + 734986801, + 759298696, + 855274637, + 415553743, + 352432042, + 427832384, + 204482402, + 842370057, + 488266181, + 886074269, + 331485916, + 610402842, + 8421782, + 71550749, + 569732184, + 35676466, + 613015975, + 520021951, + 36176070, + 426375791, + 747246671, + 111335976, + 235226998, + 582869707, + 453629810, + 896572081, + 558690138, + 942263581, + 740790959, + 818087652, + 168892693, + 538441898, + 958126894, + 788138033, + 38021837, + 441176021, + 880699442, + 761410910, + 936187203, + 772309929, + 513914449, + 513480770, + 721530727, + 610093628, + 242397651, + 817941805, + 182630312, + 888991455, + 248107655, + 663223443, + 712124787, + 513013991, + 624095893, + 815061418, + 73159208, + 7706082, + 458674921, + 500371387, + 91210508, + 910997570, + 105670515, + 412184099, + 724827775, + 40120972, + 493126822, + 203011614, + 206582178, + 654042240, + 705567112, + 150357478, + 715583359, + 765707640, + 552964791, + 701221243, + 915881294, + 541505490, + 807417232, + 591418788, + 579270824, + 337013027, + 613955636, + 814770055, + 924822373, + 909985974, + 453455575, + 646477281, + 226216681, + 486050987, + 422293017, + 2249929, + 129700608, + 820773188, + 636288786, + 793032226, + 401804190, + 463272559, + 284209808, + 174349244, + 485476502, + 647638917, + 445659117, + 39294662, + 62982554, + 546329507, + 196545713, + 820684327, + 415666712, + 12249220, + 898148911, + 629233639, + 997687652, + 461568211, + 646654681, + 998438709, + 977879928, + 37310730, + 273179882, + 399953671, + 237759036, + 244963347, + 854280601, + 787136656, + 980394210, + 23062030, + 886804023, + 864803764, + 349111759, + 519202482, + 549464397, + 56722991, + 453402899, + 125513623, + 716910249, + 117439089, + 270029520, + 122788977, + 94455493, + 163429700, + 154922960, + 864303749, + 293158627, + 768681042, + 233764689, + 183718324, + 795839253, + 459690398, + 275094600, + 440051788, + 568962983, + 120363596, + 89404401, + 187287076, + 88369214, + 328044304, + 502859655, + 267418462, + 240136666, + 782909165, + 149409029, + 282180906, + 530898266, + 868359677, + 709223248, + 808410597, + 774348475, + 450494921, + 927491094, + 411277643, + 602833832, + 217165643, + 303926428, + 304662933, + 549316418, + 822047953, + 346794017, + 520120478, + 76006874, + 905245409, + 770998174, + 605183283, + 792757634, + 252390568, + 309752560, + 965092876, + 856878629, + 614044968, + 107255787, + 578932079, + 571331886, + 605442081, + 128133446, + 986102879, + 941024347, + 737840706, + 355266618, + 98982465, + 94443997, + 591165911, + 896903334, + 874782891, + 192301980, + 465197894, + 794089596, + 575000556, + 715467954, + 136376098, + 377554186, + 437570472, + 421285140, + 614055916, + 954097559, + 88385723, + 477946493, + 85359008, + 896532414, + 952143562, + 913743321, + 273051884, + 953117319, + 919127750, + 918338193, + 346368672, + 261637799, + 12596175, + 170457798, + 489629174, + 528571099, + 284337232, + 681775278, + 220942216, + 211048164, + 805863378, + 186661080, + 797773280, + 318386637, + 590491752, + 490544201, + 311863015, + 85111644, + 295091475, + 563474663, + 620007717, + 123619539, + 540403427, + 292892020, + 59767959, + 941823564, + 898534721, + 74972849, + 515111087, + 816363688, + 600576606, + 847267705, + 453583633, + 829859999, + 780557216, + 216727741, + 991680065, + 918096425, + 924070845, + 833442320, + 266973080, + 887494457, + 767028792, + 466673730, + 568004457, + 511541280, + 985467994, + 817292247, + 204892736, + 575542004, + 634750167, + 331309678, + 484660623, + 722752126, + 391890763, + 922823327, + 898025275, + 298680979, + 416516937, + 288331737, + 748340664, + 509638944, + 296185364, + 29219003, + 723934617, + 541857361, + 203566719, + 862937809, + 696788190, + 49247855, + 126150316, + 60983205, + 440754328, + 742981627, + 989933843, + 27821279, + 308529813, + 22914275, + 258302594, + 18178707, + 46853544, + 1181600, + 768387399, + 438212715, + 774310024, + 444080274, + 646124814, + 395132897, + 100417574, + 962192128, + 131728146, + 627940101, + 100366944, + 713129566, + 944764075, + 200464964, + 739103068, + 344038735, + 610047213, + 701287369, + 903568819, + 313323950, + 535662853, + 279796379, + 218517822, + 949794360, + 64927840, + 463231251, + 120137716, + 288956921, + 237661404, + 89242909, + 970629087, + 842440273, + 605066822, + 499578419, + 61069518, + 313895898, + 659824381, + 164728630, + 873955089, + 311709085, + 515420883, + 906278198, + 82099986, + 967713274, + 96205998, + 239512011, + 879725606, + 809077756, + 489521574, + 846049429, + 363473544, + 777174350, + 246160151, + 487499869, + 259953945, + 172500635, + 225959881, + 450616805, + 510264962, + 207179545, + 612838384, + 663371547, + 148192277, + 211154407, + 518692749, + 124545033, + 394652816, + 721547392, + 641818392, + 990393905, + 111377185, + 304108744, + 45567288, + 514587986, + 400166681, + 165707015, + 820190354, + 181085374, + 959845105, + 111795513, + 55678706, + 618398555, + 497253187, + 45605536, + 364338780, + 369678872, + 893684258, + 975705028, + 970586365, + 602606639, + 372671867, + 207379626, + 952709935, + 599063284, + 420356329, + 714415327, + 341353508, + 831055033, + 490265677, + 79577520, + 300133658, + 937419701, + 678745740, + 258711607, + 775393918, + 432615263, + 667803563, + 256225563, + 177407930, + 849159109, + 624943823, + 37472777, + 270044765, + 724591624, + 726191123, + 849506690, + 935924777, + 406132317, + 986681876, + 176621041, + 932324674, + 583610771, + 267871840, + 608945874, + 186939818, + 220488045, + 410620497, + 221505836, + 556039966, + 490254916, + 672246921, + 769135886, + 187750095, + 664164235, + 943931876, + 158434042, + 461413139, + 562886231, + 807362089, + 802883597, + 197797504, + 754795957, + 681166908, + 884331161, + 497297232, + 514101013, + 19322175, + 618283278, + 558780138, + 667202655, + 65377942, + 849399315, + 40393723, + 489340549, + 693415998, + 562519129, + 161726220, + 773776585, + 701416678, + 739674570, + 64561871, + 91123456, + 852167389, + 932450825, + 297818200, + 234475595, + 821273069, + 483728185, + 884861754, + 866964731, + 436244389, + 872705141, + 820325921, + 970490340, + 881285243, + 337883382, + 89925735, + 235514996, + 325386555, + 770610348, + 368011347, + 803772330, + 248352060, + 693070213, + 472077851, + 444392557, + 991054122, + 486047932, + 303724307, + 537152416, + 259943100, + 141803930, + 819595337, + 689813006, + 778198819, + 763911657, + 247551929, + 690613519, + 101664425, + 131360888, + 453607478, + 735828635, + 662575524, + 688398363, + 90559166, + 340150542, + 423196080, + 540467296, + 537374017, + 892928785, + 835033107, + 552876757, + 286926525, + 986107223, + 752993896, + 958448042, + 327233717, + 359112570, + 385653584, + 842972739, + 776501979, + 18104642, + 160385060, + 707684580, + 633479551, + 67647524, + 547488471, + 589035811, + 419848852, + 478759389, + 369346904, + 561922552, + 698500351, + 524461787, + 459046739, + 910468843, + 126400015, + 565659092, + 82037722, + 915088525, + 297880940, + 206209059, + 908484388, + 604230379, + 829556181, + 542662522, + 898987860, + 40191259, + 875142109, + 503522286, + 254296255, + 241146149, + 325665955, + 763910334, + 695862180, + 968203137, + 234479287, + 330483900, + 575071469, + 374891109, + 784108199, + 192597152, + 242290024, + 601888980, + 525169690, + 726352551, + 201179018, + 870462828, + 936907288, + 848868950, + 830854190, + 463397249, + 581121361, + 141406375, + 732944368, + 490901336, + 594182774, + 802922057, + 384112211, + 781662447, + 119997329, + 793669815, + 691726768, + 607969807, + 677060760, + 576438860, + 611011946, + 110471899, + 149864250, + 913709964, + 486517694, + 649017642, + 358235726, + 296900258, + 58532591, + 941723000, + 965696822, + 577728411, + 401414047, + 598575634, + 647856539, + 663140925, + 449481097, + 674923258, + 137271464, + 775919799, + 258411214, + 68203322, + 282347964, + 850585522, + 903101584, + 24959103, + 443352448, + 354729085, + 832648433, + 49374045, + 392330518, + 728211710, + 182413330, + 391995757, + 607346067, + 909800732, + 478672832, + 434573454, + 719637033, + 411108495, + 820428871, + 260350919, + 182098678, + 228610241, + 351157864, + 403841297, + 908651127, + 882803715, + 374526239, + 118672016, + 165760893, + 789651238, + 382962814, + 562232793, + 961628604, + 272915418, + 689530712, + 920570127, + 842264975, + 841065907, + 860757110, + 128034092, + 850669852, + 110794576, + 665084646, + 509703692, + 610034547, + 360972453, + 553445413, + 930918931, + 159171900, + 990901982, + 78771224, + 59472441, + 635811739, + 790071984, + 397940865, + 876092650, + 423444629, + 732311259, + 549091488, + 108137908, + 202921774, + 218700159, + 832642487, + 43269794, + 989270889, + 718241021, + 127615937, + 139926887, + 935896405, + 758234537, + 475788598, + 169263000, + 49125704, + 822146801, + 573644950, + 442597256, + 996214571, + 481894304, + 374077415, + 623323621, + 362558940, + 401759374, + 418054881, + 587485421, + 230255758, + 660706953, + 810336583, + 667831603, + 931978600, + 839607241, + 161679446, + 240035108, + 467731865, + 154486255, + 723315568, + 839235424, + 256785806, + 760536420, + 33803110, + 192506274, + 223852875, + 529360529, + 206869251, + 350132520, + 903639860, + 63806530, + 409749151, + 688602556, + 479620684, + 938268852, + 381587169, + 507117108, + 463262022, + 502838094, + 644466975, + 40696189, + 694765527, + 809916929, + 760161269, + 887322913, + 593890842, + 653153090, + 412592034, + 871467547, + 264486814, + 733605727, + 141949967, + 337464542, + 645501081, + 7469689, + 214384560, + 14857835, + 791017096, + 712899065, + 361363806, + 485761894, + 286782314, + 746609125, + 191219081, + 690667356, + 997138745, + 220786241, + 144322973, + 260185340, + 637952964, + 605025724, + 309778930, + 13612529, + 786919891, + 959154690, + 211367212, + 603927587, + 925642117, + 655734357, + 379418304, + 140705590, + 239318807, + 896725833, + 105895411, + 719657099, + 817538231, + 917510260, + 404297148, + 342052778, + 99664271, + 822021542, + 782911485, + 829578635, + 422622994, + 578844163, + 307718594, + 653604290, + 166447569, + 480186123, + 974800839, + 409370970, + 177258110, + 928780280, + 825678675, + 120704749, + 216253185, + 30491126, + 55686430, + 479215743, + 556126272, + 738595021, + 392320548, + 997526018, + 641049948, + 855362851, + 402165421, + 462633546, + 810801052, + 154113816, + 204693370, + 254084657, + 355234513, + 48936676, + 771162480, + 815287425, + 897224087, + 242009197, + 264266675, + 266762272, + 884191042, + 809316125, + 977005006, + 319113355, + 254841611, + 101670946, + 713132421, + 21246347, + 232202734, + 70743067, + 982900630, + 734903269, + 22044505, + 118370918, + 712458797, + 775278861, + 287891339, + 656435065, + 248856919, + 945780412, + 242980157, + 653925562, + 85295515, + 947724693, + 151862345, + 339381788, + 823930155, + 45928557, + 158809012, + 261864433, + 362868655, + 739157771, + 842202781, + 719264690, + 389711557, + 714680331, + 575180873, + 970681591, + 296536976, + 946873692, + 439135465, + 535258906, + 830036044, + 529299606, + 179030099, + 676325812, + 442233167, + 816326706, + 227571041, + 508588381, + 425677642, + 272859900, + 584090990, + 823425104, + 108251378, + 35393044, + 735722675, + 569572330, + 739034846, + 95104518, + 105118590, + 437624092, + 204320639, + 367619462, + 944055750, + 412014079, + 468590898, + 642203243, + 47685103, + 544226928, + 247611971, + 827425988, + 39325017, + 47129994, + 181201063, + 994586033, + 678618108, + 18784887, + 725061901, + 585550591, + 396029350, + 828659323, + 786058547, + 392560770, + 957717608, + 235435921, + 748618747, + 189711292, + 338101916, + 100719775, + 657928019, + 475025317, + 805615630, + 365767506, + 341040255, + 986081292, + 795686026, + 68277830, + 395511826, + 987690332, + 78908092, + 487531130, + 625279746, + 610700210, + 423266215, + 799687667, + 341748849, + 936751914, + 290839247, + 622046678, + 464751879, + 599515445, + 495133455, + 798346341, + 757045399, + 859131350, + 993345629, + 240725577, + 780633092, + 968090404, + 860885912, + 19009871, + 391226710, + 670973103, + 455031558, + 656217305, + 48738498, + 72880752, + 642260823, + 548860366, + 287783201, + 566879307, + 543191896, + 384897831, + 417313809, + 258715830, + 640126796, + 127346623, + 353599786, + 938831811, + 567460640, + 681661720, + 98197160, + 623462160, + 48437687, + 471022373, + 199813687, + 232987646, + 916538808, + 531204109, + 935396801, + 580113697, + 482815540, + 692068381, + 642488182, + 69405993, + 750708940, + 842755980, + 845214576, + 873852497, + 168757503, + 860251831, + 522563157, + 382948208, + 415713204, + 706469291, + 316985248, + 984415103, + 523964364, + 405108730, + 773419332, + 424291106, + 966122190, + 73107447, + 506033893, + 183709106, + 727847417, + 47276338, + 959965002, + 19965223, + 720702698, + 771834989, + 254639884, + 595399353, + 852876697, + 771143866, + 623947516, + 136997554, + 586911350, + 851776564, + 122321397, + 763743599, + 418844540, + 297680258, + 845502205, + 107682133, + 529169112, + 639274253, + 746587956, + 348641702, + 251128694, + 547209084, + 764967630, + 444478026, + 803548347, + 23627958, + 856688354, + 754096726, + 543161213, + 823216755, + 670381491, + 370449452, + 803622136, + 45059433, + 32145521, + 717768310, + 58022780, + 451709279, + 981572435, + 601655762, + 891376419, + 94312122, + 23912700, + 95353728, + 763806128, + 952495681, + 156244243, + 756914609, + 784411323, + 202556518, + 930716174, + 599549141, + 60218300, + 826104829, + 567497533, + 934877174, + 81722768, + 755972125, + 115555925, + 648536099, + 152070397, + 244363421, + 486061823, + 230120970, + 127886833, + 365350643, + 549997145, + 735738218, + 255680375, + 897335901, + 183403863, + 470446547, + 252325426, + 314332986, + 347184720, + 664566840, + 893330177, + 606302725, + 753082855, + 218215186, + 639747578, + 817303649, + 499015416, + 147330720, + 745274416, + 642375564, + 837273276, + 122690822, + 930972614, + 602319664, + 469276322, + 577570739, + 411801223, + 967935435, + 146393507, + 878916051, + 349593077, + 793158028, + 324923405, + 211115344, + 151534611, + 430924690, + 856988523, + 258076135, + 937598403, + 990156049, + 916673953, + 483518424, + 572121392, + 894334823, + 286799694, + 523577995, + 359688573, + 215536287, + 686118986, + 743266133, + 886877951, + 366292601, + 139208573, + 775558351, + 92126077, + 986434048, + 891985650, + 59739281, + 969829945, + 214449121, + 514230747, + 511348609, + 440592635, + 911754332, + 774118431, + 122004988, + 370262905, + 368187860, + 864426303, + 901595776, + 668153402, + 989047088, + 81246797, + 32911116, + 373469823, + 706784043, + 249110056, + 201298110, + 703710721, + 530330347, + 840358924, + 958024002, + 980752409, + 490099940, + 666811916, + 565845466, + 200254654, + 125832463, + 935820946, + 438399248, + 91439031, + 186188725, + 191319221, + 976606608, + 410408730, + 942747938, + 454473085, + 430072132, + 662135949, + 617869325, + 651217295, + 933156436, + 658762357, + 917232243, + 927062377, + 680088339, + 757343473, + 365886413, + 548201019, + 127801987, + 568122934, + 540983911, + 804933115, + 384455726, + 17338388, + 691014662, + 214552631, + 610110290, + 69501234, + 451976583, + 380976407, + 35939840, + 250989993, + 103049635, + 389515567, + 462267674, + 753288958, + 826252515, + 105362110, + 575316855, + 109794507, + 604229891, + 757746884, + 598508197, + 697259255, + 955333566, + 330353071, + 692393726, + 106123547, + 276740439, + 167003472, + 441232952, + 792650645, + 780924630, + 672708920, + 839513530, + 650685767, + 130983002, + 681975328, + 438720531, + 290197336, + 474530415, + 737942224, + 597568975, + 870904524, + 507667504, + 144116508, + 238581339, + 709628106, + 361077135, + 218375510, + 990008569, + 302542060, + 954910460, + 434734411, + 988861394, + 827841299, + 753323071, + 677753895, + 384890391, + 970249243, + 5684819, + 708639748, + 337604621, + 125925772, + 396670209, + 449015229, + 132038103, + 947309122, + 744990831, + 64637697, + 598832879, + 989374093, + 20413771, + 604756376, + 384773853, + 386810965, + 671114203, + 634961462, + 925857820, + 705282643, + 367295840, + 145048421, + 922701027, + 773769150, + 782971635, + 394815901, + 989225040, + 433751793, + 569908864, + 538455747, + 193148691, + 927572728, + 957743304, + 108240065, + 557297364, + 360043940, + 249106095, + 642362712, + 214312667, + 191487936, + 38547548, + 360282552, + 17429904, + 310057773, + 605860315, + 726410925, + 695098802, + 616775376, + 543232182, + 377137399, + 141226165, + 53260744, + 780338309, + 578842027, + 713326978, + 77467968, + 960283102, + 876528311, + 441552188, + 741525263, + 769981392, + 889301557, + 812228436, + 690823698, + 282610301, + 254694533, + 782885110, + 388383827, + 309471821, + 99753629, + 284247671, + 494463472, + 224883599, + 802500841, + 887938160, + 490928788, + 499969063, + 190236327, + 596161321, + 417001798, + 142815922, + 199300343, + 586735204, + 870638977, + 970706279, + 887457098, + 111295247, + 607983706, + 291753137, + 944817366, + 773720300, + 874265397, + 103225335, + 128827561, + 400185926, + 866960681, + 44854643, + 211403946, + 807234475, + 873716485, + 477614456, + 264899306, + 440517955, + 48261538, + 589417879, + 800553288, + 831181592, + 367165316, + 29623233, + 406643420, + 669231402, + 405149396, + 652412997, + 585769236, + 752757523, + 360882866, + 845555393, + 186870187, + 280271358, + 397698736, + 128266231, + 586244705, + 325048709, + 957490036, + 122290529, + 450522778, + 896021616, + 275148968, + 685886191, + 505704380, + 632326401, + 252493045, + 945058381, + 413983162, + 471961021, + 357644870, + 498938314, + 910493505, + 886575651, + 564352957, + 234898223, + 409310563, + 818932703, + 282785851, + 922365628, + 737463988, + 303161415, + 994451345, + 701615247, + 219467063, + 437452354, + 719199569, + 362864980, + 412183023, + 596851534, + 677895891, + 226651995, + 789764509, + 99841359, + 475282377, + 715041439, + 101858926, + 451723557, + 492845000, + 2166975, + 813278644, + 693973776, + 521258661, + 979428849, + 934799725, + 916892106, + 851988654, + 167492310, + 569646609, + 868960030, + 41739645, + 357973448, + 295853823, + 140714904, + 194119932, + 337048597, + 702603568, + 847346661, + 190601064, + 895948384, + 224754313, + 418518109, + 981323382, + 294133830, + 823055632, + 397991890, + 473378307, + 141285948, + 662992452, + 776754892, + 491509130, + 305737653, + 194880251, + 121002434, + 522628237, + 153352241, + 720358249, + 997079372, + 254823732, + 650841617, + 99254067, + 459373534, + 772873472, + 133016237, + 219850174, + 578290976, + 492649613, + 326644546, + 962777530, + 67243532, + 85986572, + 87432079, + 726596102, + 785075685, + 458522359, + 514131633, + 375719348, + 314487505, + 707919398, + 27580423, + 737831494, + 326487232, + 525522642, + 330489361, + 908216916, + 469829244, + 481168589, + 705523539, + 256955957, + 309656987, + 545627025, + 272688538, + 752133894, + 950370264, + 45274638, + 451098207, + 231840706, + 306491635, + 231113409, + 662935757, + 640416520, + 237535951, + 174785989, + 758206336, + 347644252, + 679446179, + 264929886, + 642501607, + 481506808, + 23628327, + 291058712, + 965651629, + 381486673, + 537097824, + 653853466, + 451198902, + 230377753, + 668301496, + 484356968, + 792015416, + 111012448, + 408169278, + 63596556, + 107102101, + 627592637, + 255924270, + 511224702, + 782691457, + 695259502, + 570538058, + 732283482, + 376559037, + 439100794, + 244754188, + 366143769, + 273609987, + 808720975, + 546582334, + 171726757, + 938391125, + 510178963, + 633535554, + 112063058, + 747936247, + 842498857, + 317974426, + 510561752, + 602927847, + 101710097, + 98103696, + 896871344, + 626853136, + 126861317, + 260231362, + 447838536, + 159020861, + 913919612, + 987123586, + 635289087, + 295129770, + 305075231, + 26034737, + 720721231, + 599981870, + 221055431, + 979274326, + 79333886, + 869096114, + 64033632, + 672899128, + 599528099, + 340536125, + 689804090, + 460497644, + 735875311, + 576947850, + 943540289, + 752972354, + 236827714, + 218216776, + 244219430, + 705902770, + 571093803, + 938062929, + 382707828, + 820036499, + 92782111, + 497537599, + 894225719, + 303397587, + 558605160, + 369869866, + 765610672, + 443709139, + 857158018, + 947508188, + 291686865, + 467030699, + 31015130, + 794279782, + 405061695, + 480931716, + 297701664, + 163692644, + 342985892, + 300296577, + 848125193, + 654382843, + 808441574, + 136289184, + 610873916, + 230813514, + 785289089, + 744103329, + 885736185, + 28725594, + 452032754, + 848604758, + 102073606, + 70721971, + 19915687, + 687136575, + 342804379, + 42543961, + 31286285, + 223555178, + 420747102, + 379786045, + 920855836, + 313202611, + 18377964, + 73684697, + 356929887, + 372468589, + 406254831, + 454869336, + 338069504, + 839453092, + 154374131, + 382595668, + 615277528, + 449200167, + 172179251, + 932394564, + 486737149, + 910995648, + 760406051, + 317613840, + 378756404, + 879091127, + 471459472, + 748085312, + 643842048, + 523306433, + 176188907, + 650354849, + 558328308, + 737466983, + 791329084, + 204695618, + 104505729, + 403184523, + 903389597, + 648730985, + 887060191, + 432332860, + 558280435, + 69016767, + 585454077, + 724802053, + 82251088, + 45176456, + 116675008, + 571452786, + 799486636, + 606786982, + 693218173, + 440841410, + 316674092, + 559993008, + 41949608, + 674400728, + 576134381, + 404055, + 948208242, + 708003350, + 733379843, + 144527083, + 888027410, + 36573046, + 921658007, + 337334541, + 704716332, + 712934801, + 2522857, + 523664660, + 90014517, + 268020981, + 104525049, + 893929243, + 275187217, + 742868157, + 607907918, + 637418360, + 384163361, + 317845440, + 602252030, + 459836554, + 854416392, + 851359783, + 823238506, + 549419303, + 853269269, + 149040665, + 639799639, + 105424291, + 793340468, + 282070837, + 572988240, + 206921319, + 154715583, + 497347343, + 999519643, + 900382675, + 311851245, + 245450255, + 292151001, + 351679806, + 799603146, + 628787348, + 709419854, + 533389507, + 802467313, + 504470345, + 913870765, + 647938342, + 45169572, + 895849819, + 674715257, + 290710924, + 325258085, + 419963892, + 897159023, + 10990781, + 82876539, + 339382711, + 818856883, + 429953787, + 169996708, + 72080095, + 435899831, + 741103484, + 227356989, + 156202729, + 17183776, + 34979049, + 172124953, + 340397706, + 680204742, + 49946617, + 8011724, + 708845945, + 933467452, + 301594747, + 440212655, + 40817878, + 632116323, + 683301047, + 807548900, + 864483003, + 748489626, + 805723851, + 656106740, + 99752686, + 856007981, + 755996147, + 141830441, + 830530808, + 624438628, + 772907788, + 325117489, + 389619189, + 705284174, + 612187903, + 584236953, + 508007121, + 796435536, + 705397227, + 708594272, + 325652721, + 662764479, + 246032990, + 862301868, + 301042074, + 243158307, + 867032762, + 450888990, + 964791661, + 754951159, + 277626968, + 615687604, + 80862322, + 245823757, + 343602704, + 603127999, + 630115357, + 717417695, + 256170944, + 123071375, + 406490467, + 230272589, + 232198310, + 859698761, + 138602054, + 783991443, + 875267231, + 83026773, + 270787831, + 75774537, + 875224130, + 373515860, + 77222769, + 493121215, + 847973589, + 11209392, + 784349637, + 767457874, + 78833256, + 813808043, + 561213476, + 429116535, + 740704613, + 408742240, + 299997149, + 435832160, + 49384177, + 687243078, + 4384091, + 438529485, + 828095959, + 329871776, + 607950099, + 695544568, + 992808469, + 251001709, + 708236617, + 492251900, + 442925319, + 644358982, + 44148031, + 247979419, + 92484033, + 681928931, + 680886851, + 415912796, + 44055720, + 833119044, + 158747245, + 25480472, + 469224755, + 497240394, + 551187804, + 273751205, + 643077600, + 543929101, + 623380891, + 780030365, + 974048774, + 928823495, + 308448423, + 689618012, + 621367339, + 70637342, + 270603778, + 392547249, + 671685485, + 207647401, + 21607672, + 291069924, + 438543253, + 797111052, + 499539165, + 261036675, + 250200038, + 838071762, + 529331969, + 972122144, + 580033986, + 908436991, + 797121198, + 238163852, + 110591097, + 121967193, + 376116549, + 274971006, + 391727812, + 252651749, + 60434757, + 185486505, + 50860680, + 663436575, + 41102657, + 458105948, + 799080781, + 382589208, + 314091254, + 121719478, + 628975036, + 790768771, + 826037713, + 876229467, + 445292083, + 210887206, + 356495831, + 631293250, + 46123180, + 609420104, + 278475717, + 504092265, + 727510433, + 176355198, + 705659826, + 802013595, + 820197990, + 404654358, + 642786776, + 162184238, + 777786288, + 905294343, + 775672267, + 879239397, + 373149308, + 315734589, + 104440724, + 701606228, + 582270552, + 608110397, + 173634336, + 960255415, + 327433118, + 370732942, + 762722271, + 427647859, + 569472466, + 283807003, + 930488838, + 559390974, + 967663392, + 737811157, + 539408866, + 776459186, + 376239893, + 551813004, + 609345322, + 985179427, + 907303663, + 84166670, + 736138237, + 889898749, + 48903588, + 584294251, + 885111789, + 134578711, + 589806123, + 864300999, + 672111861, + 37308795, + 264749797, + 155553334, + 789890106, + 206464786, + 498824406, + 45292882, + 543586362, + 23111975, + 97589842, + 671828284, + 938782300, + 955081193, + 340822410, + 693885699, + 142028179, + 920221727, + 254968262, + 918789436, + 739012902, + 349521477, + 53748016, + 591340856, + 239340983, + 667141767, + 429528615, + 738297419, + 917484744, + 531408885, + 818776919, + 960876273, + 396194713, + 849702589, + 174839824, + 744548742, + 313861534, + 395539227, + 609715350, + 653206975, + 504542977, + 283496079, + 491969452, + 887004486, + 105081723, + 597144148, + 562285567, + 480877337, + 207117735, + 662493644, + 649091684, + 682121569, + 659149336, + 175503568, + 41013771, + 52129876, + 52348975, + 363812286, + 267015946, + 681184317, + 758879628, + 325183387, + 227435647, + 857471701, + 362852366, + 161955169, + 283617403, + 490768186, + 967845661, + 285971419, + 820054818, + 503172439, + 113698268, + 208907799, + 810313643, + 847456117, + 862867730, + 37075664, + 818157003, + 806746852, + 175512043, + 666730756, + 833627386, + 904404394, + 611248305, + 745947057, + 85015202, + 502214058, + 861204689, + 485797971, + 834782231, + 768966580, + 609810874, + 521080950, + 880403609, + 384313664, + 843387991, + 612910822, + 533588344, + 105825443, + 863463124, + 765289790, + 408785591, + 346042897, + 12358587, + 461183998, + 753506697, + 887134747, + 496348893, + 498091137, + 571721651, + 117701818, + 49844886, + 325786316, + 145227287, + 185152998, + 444377333, + 743387319, + 23598812, + 184089140, + 745582081, + 135118766, + 154437566, + 774611889, + 184306226, + 726179989, + 341936528, + 248011673, + 221682549, + 877462276, + 597284376, + 478931799, + 43369296, + 902576186, + 611271323, + 957563795, + 213364790, + 53368366, + 97174409, + 320263551, + 260229394, + 836680380, + 241621445, + 217522716, + 394501857, + 381363812, + 283000415, + 143737778, + 330648288, + 654933135, + 257305515, + 693656634, + 917881343, + 784413065, + 588672967, + 905381306, + 775407169, + 739193188, + 322905563, + 618964454, + 877178564, + 621695931, + 897858011, + 127839387, + 482784945, + 16572907, + 487919072, + 777134208, + 552619539, + 382175892, + 19493128, + 522767261, + 960881694, + 967742380, + 539028190, + 870548520, + 598435939, + 54351692, + 990777000, + 437952549, + 840796778, + 694904142, + 216145925, + 553071997, + 842695799, + 97768516, + 589094987, + 853502363, + 100667121, + 938606349, + 759768539, + 387799415, + 97214460, + 24248698, + 790215702, + 153996352, + 119252649, + 612799535, + 824420911, + 513107973, + 725245478, + 546892775, + 584522909, + 92497998, + 715783402, + 417474019, + 353699900, + 766825378, + 945920282, + 632619099, + 675471469, + 940857695, + 230261485, + 378528472, + 383348566, + 305446729, + 297386747, + 196498616, + 608691503, + 585723253, + 482947574, + 525017957, + 691080297, + 670794190, + 858145109, + 809279246, + 484650754, + 591387379, + 892477640, + 356032981, + 866433982, + 235328601, + 737335130, + 219381516, + 718682830, + 60103923, + 889128318, + 145973358, + 887686949, + 704106232, + 878622576, + 680562966, + 79516404, + 593254471, + 326900718, + 189082138, + 658639198, + 601255862, + 608809690, + 448800764, + 11724012, + 837092363, + 432437012, + 374273318, + 688903639, + 525804373, + 283961805, + 843875344, + 782400563, + 864008783, + 301629771, + 607454029, + 282986136, + 45920261, + 899546986, + 297032154, + 6912796, + 979167533, + 475097465, + 937451797, + 125713876, + 538119832, + 873128806, + 452588330, + 370825489, + 149611359, + 314756633, + 8398491, + 254868235, + 572775570, + 996349238, + 569608058, + 706318843, + 543769463, + 850233190, + 162350709, + 674481942, + 759459431, + 174462100, + 557087410, + 58512597, + 174296901, + 54515225, + 71556271, + 258734859, + 548717131, + 381100319, + 493977755, + 207356410, + 81500998, + 919509850, + 212114777, + 913109189, + 126278254, + 759002256, + 275842805, + 213320237, + 107813161, + 506024041, + 851933931, + 725398313, + 704168038, + 805668407, + 599805192, + 351463481, + 804510709, + 941345439, + 790166216, + 493731917, + 459213772, + 391189370, + 843376511, + 629473754, + 841854732, + 286761104, + 559612250, + 212418184, + 957758202, + 156658017, + 268317902, + 124163347, + 698289395, + 436078967, + 851879484, + 447556999, + 83259312, + 281933639, + 31187891, + 235910184, + 172690310, + 847791196, + 691379664, + 92800505, + 53016921, + 29746960, + 338443780, + 22456268, + 421817763, + 809478877, + 535165823, + 487346864, + 779321078, + 505854227, + 349759444, + 433616276, + 181253312, + 803370010, + 169153989, + 282601956, + 141257391, + 892158977, + 429989619, + 825147758, + 971553040, + 282134473, + 453021392, + 885037209, + 134912014, + 692429766, + 113410785, + 473233928, + 464675207, + 47534149, + 70734482, + 737662291, + 481124844, + 551217445, + 616008506, + 100122990, + 721769405, + 691284265, + 853772779, + 975778472, + 214649634, + 593818420, + 554092464, + 210950919, + 698997899, + 115928686, + 160390065, + 71596716, + 652323235, + 513339192, + 172958392, + 464459299, + 185842488, + 142177054, + 478842331, + 110858208, + 134647629, + 272510105, + 556276982, + 146085149, + 526679189, + 235719701, + 226847887, + 194058178, + 746849360, + 721898324, + 60811440, + 40615298, + 612443947, + 233708202, + 213680704, + 346288400, + 747039320, + 319044145, + 604332110, + 732021534, + 861550211, + 462472984, + 543828202, + 278247713, + 621501754, + 278090641, + 685390911, + 800473795, + 830144128, + 721821478, + 494313462, + 391976390, + 7173523, + 110824724, + 948590544, + 324212058, + 387626925, + 861391644, + 754081804, + 345419736, + 162289342, + 86109943, + 258164023, + 996354442, + 199276435, + 862338377, + 524616182, + 599218991, + 88938028, + 743517149, + 672866298, + 270272014, + 326471893, + 813535241, + 934142546, + 297697304, + 409689507, + 937017538, + 569737856, + 355780668, + 879902397, + 765660723, + 348383864, + 516463855, + 247914318, + 333844480, + 269729178, + 564675546, + 627631600, + 133791894, + 60755664, + 611697056, + 290133135, + 573445125, + 589946443, + 872673521, + 219916579, + 456854681, + 789039330, + 429092439, + 646434057, + 668518001, + 10937245, + 160405731, + 180012470, + 598619325, + 519581691, + 363523769, + 158109056, + 207494427, + 985665834, + 834243623, + 983202443, + 808338842, + 598913887, + 976431821, + 885255663, + 108691957, + 980828211, + 74185735, + 848795170, + 565924072, + 629648361, + 70783224, + 674110258, + 74358952, + 152233492, + 179170933, + 808400529, + 578025834, + 943260480, + 579442288, + 351330544, + 425311539, + 179808968, + 896771630, + 762254134, + 495737215, + 398492531, + 499477743, + 525513910, + 810516833, + 737171599, + 74752115, + 842623089, + 307885224, + 428729611, + 545888221, + 77407565, + 69415259, + 557294058, + 868551885, + 993067860, + 896415517, + 57972040, + 561797372, + 200333210, + 904190495, + 549302048, + 119126849, + 427629364, + 471664697, + 497156612, + 24296570, + 75946211, + 849677520, + 860810589, + 908428168, + 525029521, + 735625041, + 578978267, + 811771023, + 579917607, + 954080424, + 412813823, + 737680765, + 527177891, + 914445723, + 643388250, + 159299791, + 679345276, + 791997022, + 730614808, + 485627880, + 325502018, + 573062178, + 672150235, + 376304105, + 584128985, + 917570636, + 261546228, + 408480084, + 46358528, + 115117350, + 187535659, + 715739839, + 332078783, + 593342800, + 252353648, + 531097239, + 414186668, + 891161331, + 558373908, + 561855611, + 845295532, + 6316040, + 291701316, + 901379703, + 828582306, + 720209545, + 79107397, + 296088096, + 483194275, + 180508274, + 406952080, + 639018830, + 733113234, + 904228276, + 691355328, + 673339898, + 914527569, + 695166827, + 3816349, + 770694018, + 734759094, + 163994995, + 192337995, + 721681280, + 483913311, + 250856529, + 418847552, + 212162196, + 87237301, + 195837122, + 328571029, + 773433530, + 428522240, + 616141613, + 734316023, + 105072750, + 680745019, + 265871652, + 631658452, + 686417134, + 177682363, + 685488967, + 531113859, + 922995144, + 965181673, + 608170056, + 869024884, + 824419652, + 392282305, + 940686188, + 526587485, + 235458504, + 160933232, + 51580412, + 35575758, + 490303896, + 254355096, + 525773066, + 921048315, + 712832360, + 334505179, + 329620100, + 432072335, + 383099690, + 473847573, + 578158208, + 469070344, + 631393928, + 864174709, + 906315813, + 10788287, + 159121436, + 371849297, + 464341150, + 625241053, + 563540180, + 523243802, + 857899935, + 100026964, + 252847571, + 945230609, + 120158396, + 447042312, + 436983733, + 950158974, + 634513264, + 291473157, + 243881935, + 416064983, + 121663128, + 736369686, + 3769328, + 687586243, + 525070099, + 227811750, + 336887800, + 262663057, + 450912147, + 762569664, + 688448558, + 4628367, + 696715116, + 349188994, + 110007614, + 996748738, + 743210552, + 638017310, + 439018035, + 497239409, + 851871343, + 444237036, + 501523212, + 707242605, + 624789503, + 834255844, + 7126632, + 257598434, + 246850940, + 612162437, + 747043433, + 448390861, + 113539348, + 600172262, + 625390642, + 281631168, + 199356398, + 642524835, + 258019146, + 227300853, + 984274217, + 782006858, + 942203118, + 579736194, + 129984026, + 837598262, + 404425172, + 909031864, + 191497961, + 827510193, + 858455992, + 189768090, + 742322120, + 386641069, + 329005621, + 420617220, + 702790111, + 118872101, + 406727902, + 222088077, + 473307130, + 55406329, + 27691310, + 82325313, + 157791701, + 249943865, + 992337343, + 863081199, + 492886357, + 681918016, + 911670858, + 809263489, + 487751862, + 534878067, + 288067650, + 346972149, + 175265425, + 808196067, + 42406932, + 695460002, + 440056295, + 431953962, + 38183121, + 65190340, + 287765315, + 30604626, + 392675824, + 932846531, + 399433170, + 407322180, + 666298966, + 32554354, + 168641863, + 632656270, + 159791528, + 477666050, + 962457243, + 759126769, + 119939630, + 44351372, + 210597155, + 128494651, + 931275808, + 121953080, + 766076752, + 155982247, + 907365777, + 491198093, + 525365194, + 916254510, + 335054252, + 138365367, + 937945497, + 274596570, + 425558746, + 347836456, + 638307245, + 533885578, + 972625099, + 39685450, + 530667808, + 911001381, + 271052482, + 968352361, + 598019645, + 43642255, + 521135435, + 707298977, + 859993637, + 265514260, + 847463229, + 231925467, + 772786586, + 623502738, + 466408526, + 774990036, + 129296767, + 833968434, + 537432659, + 102464075, + 564823078, + 680012123, + 779981351, + 203723073, + 943839262, + 519370468, + 613992695, + 405592179, + 116340051, + 574863179, + 546257975, + 63468759, + 423652964, + 163329819, + 753971185, + 650731504, + 996396173, + 939121029, + 770222730, + 112591318, + 713432706, + 342859609, + 636683328, + 842457100, + 14021592, + 352968369, + 932864533, + 892766190, + 299335490, + 702155493, + 82841521, + 183204872, + 440273288, + 335901725, + 470051453, + 948267758, + 318616954, + 725885801, + 76859135, + 101628880, + 765710033, + 684868829, + 712449424, + 667242817, + 94552586, + 795766640, + 91940227, + 54418542, + 273931469, + 309723452, + 375754328, + 799170023, + 501698542, + 315015633, + 537801538, + 757189963, + 853881968, + 897017669, + 196615295, + 534861318, + 106389736, + 718998581, + 611714365, + 904041700, + 799661019, + 966348098, + 401292971, + 980888482, + 175824291, + 223479260, + 962118327, + 392203957, + 127417118, + 288418232, + 546401622, + 996868301, + 562300226, + 991402546, + 742009768, + 36767249, + 821612983, + 265739884, + 384696154, + 48891940, + 455962226, + 443783802, + 728867599, + 10095249, + 507334214, + 509801023, + 705132618, + 236300162, + 864028460, + 476059183, + 848428949, + 35982421, + 965861402, + 878279488, + 70596602, + 86815460, + 238541983, + 46961426, + 100464921, + 976866629, + 642506529, + 279616350, + 998903194, + 305244051, + 630784654, + 867524799, + 170526416, + 977407347, + 749463560, + 38084527, + 518773580, + 460612607, + 817786109, + 936319767, + 673220449, + 609221992, + 865079470, + 171433892, + 669191800, + 211603867, + 663116654, + 999273639, + 929672093, + 131762178, + 613401666, + 789800358, + 401908722, + 54255536, + 34560471, + 119263689, + 425874436, + 945081261, + 35873952, + 909941608, + 347228688, + 230612028, + 638076120, + 515295819, + 327409888, + 736437763, + 549098880, + 445747192, + 418807447, + 257794257, + 878523094, + 541287191, + 967352308, + 255283358, + 358801617, + 522151781, + 565274623, + 290902875, + 372709602, + 493298875, + 109385233, + 952913731, + 603831637, + 670380995, + 806800607, + 68571489, + 780770785, + 726329432, + 516401002, + 165849277, + 233391426, + 292840490, + 381311395, + 353369564, + 675521631, + 599616297, + 736689682, + 365519267, + 898799691, + 760250760, + 795851446, + 833871245, + 752277787, + 959186820, + 775860367, + 475752568, + 302459576, + 117045483, + 416102140, + 824591904, + 867775236, + 52956427, + 373884037, + 423242200, + 567321419, + 313328000, + 934580930, + 654867007, + 436632476, + 92021094, + 164642298, + 102014581, + 933203769, + 754429367, + 372544102, + 466696789, + 702291404, + 155863081, + 836886447, + 644106600, + 333633272, + 761598659, + 720050467, + 550244460, + 216885869, + 624578872, + 343263773, + 168854767, + 772260600, + 597504336, + 403080340, + 459368466, + 461901929, + 794572037, + 983664865, + 4057379, + 989966079, + 254261077, + 82690265, + 563001546, + 28911735, + 199144539, + 40869398, + 981004148, + 446682628, + 724413502, + 352958680, + 744784922, + 454043969, + 191599319, + 175768726, + 765264539, + 3925237, + 615634561, + 193424375, + 771935061, + 711892240, + 939792186, + 243813944, + 527931236, + 657285341, + 932333263, + 314742552, + 578521227, + 352974173, + 18085082, + 233802439, + 518708161, + 979646476, + 530290526, + 83041982, + 833192602, + 137576951, + 935136871, + 873372417, + 551159602, + 122463484, + 4341497, + 996303693, + 372572415, + 656004490, + 119537687, + 41641065, + 350292260, + 493115049, + 361511341, + 765412789, + 911050708, + 264839251, + 690587174, + 103565736, + 968380703, + 331428429, + 174991259, + 949310699, + 932753337, + 605669478, + 594219539, + 319260426, + 740255418, + 81950411, + 890824304, + 113386023, + 576529450, + 489047925, + 691489322, + 863987909, + 707723378, + 27112281, + 628814540, + 104842599, + 500526791, + 307309053, + 922123657, + 810636226, + 229061119, + 526746442, + 415478649, + 80239290, + 863923379, + 194457923, + 217517579, + 619061424, + 868634092, + 577626927, + 45265084, + 794267698, + 502287183, + 176733243, + 502438758, + 159516694, + 548608509, + 196788244, + 415897541, + 708433212, + 162018527, + 464819957, + 174098056, + 955301889, + 935664650, + 199746973, + 769963647, + 525502545, + 398668584, + 9218509, + 971535488, + 99584261, + 256746459, + 508305833, + 438750502, + 603948309, + 919807388, + 128912291, + 498288687, + 968342968, + 121035762, + 745286926, + 710935477, + 79679422, + 524293774, + 123729832, + 422697631, + 261276848, + 253841041, + 309135623, + 452919499, + 41811494, + 233219624, + 20223165, + 629006202, + 745583557, + 884368054, + 291918081, + 601814462, + 460803541, + 978441030, + 170503193, + 295351330, + 422635781, + 260494030, + 417525062, + 60536903, + 371299284, + 340480496, + 781466813, + 76510776, + 46546742, + 733733670, + 262087025, + 349847603, + 590423206, + 414545176, + 890745434, + 527411748, + 337041644, + 898262451, + 495130089, + 359121069, + 353015554, + 296493571, + 230557031, + 449034758, + 648215754, + 204156957, + 264311014, + 296334123, + 847585896, + 629171037, + 358034349, + 203821851, + 482016470, + 194381078, + 493403776, + 125554173, + 46390993, + 512628804, + 228256397, + 607004923, + 80226066, + 221278746, + 750748668, + 85924285, + 283377316, + 37473446, + 327817747, + 106674531, + 135077686, + 63217376, + 239891855, + 823356139, + 347600299, + 369126735, + 975209004, + 171433685, + 319517514, + 923486442, + 767064477, + 718291992, + 454233021, + 636164746, + 345177170, + 815435047, + 731494040, + 843694769, + 640106843, + 41591141, + 983924130, + 447662779, + 27092306, + 67169282, + 265760011, + 835798179, + 743041835, + 611637272, + 887016696, + 641405148, + 35675823, + 237744407, + 745074730, + 200463973, + 833581229, + 355728542, + 39123526, + 149028641, + 234875319, + 387173352, + 895749604, + 814788523, + 210355037, + 363947989, + 443761360, + 472370666, + 478564141, + 730384361, + 647356637, + 989903326, + 582094538, + 498649877, + 71875237, + 782901929, + 733383197, + 530275334, + 775835115, + 311515935, + 245093653, + 842035022, + 204239763, + 22174473, + 566834824, + 844939493, + 605035353, + 537761315, + 778659614, + 537743220, + 390063554, + 944670870, + 878565892, + 99687812, + 927863435, + 752816451, + 452823621, + 915038714, + 446512533, + 842310454, + 903096919, + 466425477, + 250047936, + 688456200, + 532347039, + 652660436, + 603941862, + 812722475, + 549727771, + 15786745, + 272127664, + 979370792, + 682891972, + 728105840, + 854125001, + 600129051, + 10331715, + 59409923, + 581429288, + 583611725, + 371748517, + 568553927, + 908487984, + 355324523, + 68072551, + 299195705, + 380879615, + 679315317, + 883627137, + 89553953, + 599384066, + 776575181, + 370513333, + 505107996, + 20572507, + 396093717, + 613166162, + 905031008, + 315625874, + 899734776, + 454418845, + 58321121, + 602211995, + 766923736, + 758492467, + 368044209, + 268718515, + 307360163, + 192143484, + 440675214, + 467852455, + 960094046, + 351890143, + 507040312, + 303892592, + 642468909, + 142724388, + 779263327, + 269813598, + 203864842, + 443259033, + 719928829, + 13070916, + 887803280, + 648738928, + 38442351, + 18056085, + 764507855, + 454941657, + 96811258, + 898079213, + 313473354, + 960991979, + 419250202, + 585542821, + 586881150, + 958985189, + 394191870, + 149438499, + 772006898, + 427370268, + 345149571, + 870643900, + 930332589, + 756891947, + 28754927, + 621135895, + 484508477, + 541327780, + 519580603, + 499914409, + 610274982, + 950030942, + 602536822, + 706440685, + 426090942, + 540497362, + 531869112, + 996069874, + 425960553, + 281740021, + 83899295, + 247815322, + 946921608, + 97687138, + 386780143, + 118160523, + 529125516, + 908160725, + 348588266, + 676490661, + 511431867, + 303305348, + 382356143, + 483470661, + 895681368, + 123080045, + 351918674, + 684011347, + 505847104, + 697153811, + 225602918, + 240470423, + 476046247, + 153492705, + 296387589, + 404097720, + 292121792, + 977170833, + 526660637, + 765201409, + 654554711, + 138249835, + 423578070, + 514731049, + 431047176, + 704734380, + 187558851, + 370287949, + 491750490, + 411644500, + 490129719, + 925859723, + 271063943, + 709424567, + 866970026, + 711217242, + 371158443, + 237795603, + 730524316, + 906031427, + 163106605, + 464466243, + 256440722, + 196886769, + 629532448, + 504293455, + 165248371, + 856149194, + 584390319, + 736127201, + 350761782, + 473042740, + 913280883, + 210578495, + 991425615, + 187676304, + 525233913, + 646656085, + 468156220, + 376445566, + 112932796, + 748497917, + 379974251, + 937076985, + 4909653, + 488227465, + 861647274, + 929670095, + 990652178, + 86856787, + 670081706, + 229112668, + 517041026, + 339607981, + 622604955, + 254841916, + 198378661, + 958630846, + 492411426, + 550996027, + 231154955, + 587066293, + 172908103, + 875132441, + 557888164, + 906106935, + 845758800, + 404111692, + 289637106, + 300101932, + 947019926, + 135390204, + 436256302, + 658033357, + 942491646, + 712555021, + 532242765, + 884985685, + 875174960, + 758825030, + 628441476, + 925241405, + 613786864, + 122628256, + 610761646, + 664430542, + 439971509, + 392482598, + 144951317, + 571374301, + 314573796, + 579931864, + 851789455, + 411634616, + 908982533, + 461200419, + 240643835, + 808903357, + 837787827, + 539853611, + 42616001, + 353988703, + 283499217, + 918626521, + 126728980, + 769292482, + 786911002, + 93828073, + 403281233, + 718442793, + 692156526, + 237941648, + 138093772, + 460749549, + 567213650, + 496536933, + 324658137, + 864444015, + 209165697, + 571892881, + 187865917, + 371452938, + 547233437, + 493686688, + 154238910, + 918918592, + 735947319, + 245785118, + 640259933, + 79363770, + 709530353, + 989827623, + 464519247, + 943242857, + 835442140, + 81453145, + 441102770, + 94699523, + 303346450, + 242274604, + 759385008, + 904910085, + 872540679, + 552453620, + 286702537, + 941611597, + 75060412, + 265995329, + 266227753, + 158374793, + 269048152, + 489974795, + 513575009, + 999713968, + 490336385, + 876123465, + 579632558, + 83323967, + 203559439, + 184217297, + 641710810, + 878387641, + 543202786, + 455913687, + 301318527, + 968166193, + 300382113, + 333762290, + 906201380, + 456250921, + 603509149, + 791465289, + 918456404, + 766985092, + 294139690, + 599088715, + 577573713, + 514527630, + 656664860, + 956190436, + 208569033, + 942715845, + 200706399, + 722445973, + 923585583, + 368645890, + 803063028, + 111967099, + 75695510, + 889255487, + 168514512, + 383866556, + 155471769, + 237670055, + 165318783, + 688524379, + 204519362, + 222908245, + 971948400, + 373727407, + 673308319, + 134604770, + 823224812, + 161822869, + 200663478, + 105316173, + 171870471, + 852045416, + 884258310, + 266593738, + 226725818, + 743709552, + 631774544, + 921562720, + 538231753, + 768962330, + 207496912, + 373077754, + 880228867, + 873050330, + 466433961, + 438553245, + 915841866, + 760552962, + 225281074, + 27529020, + 693312850, + 839109679, + 958350342, + 342487233, + 548088560, + 610954913, + 359520741, + 87075868, + 570831510, + 340574184, + 856276264, + 746866729, + 67933913, + 497739002, + 26335037, + 506016657, + 548380973, + 471437599, + 908631907, + 175742945, + 280255865, + 785941865, + 327621547, + 667603184, + 87452398, + 214409986, + 484637179, + 505606777, + 727410232, + 636294309, + 634157847, + 617886388, + 784277442, + 85466339, + 622372471, + 603272619, + 798410605, + 989975983, + 360754011, + 347407408, + 873569660, + 43634003, + 345404360, + 604268245, + 76702331, + 700733022, + 150541702, + 203513139, + 970632124, + 351592609, + 290900536, + 349718430, + 880311251, + 872916816, + 816335848, + 668930997, + 763988493, + 871107171, + 563064741, + 517166814, + 661039857, + 119171380, + 265480037, + 378625288, + 638866540, + 184207684, + 573346540, + 546671655, + 56031535, + 514043381, + 840941612, + 892438260, + 755622598, + 182139956, + 783306183, + 492284061, + 63274319, + 7926962, + 809231560, + 801334235, + 488947670, + 450278218, + 978722699, + 922671516, + 984745152, + 514026765, + 181012354, + 225410175, + 732818274, + 69722472, + 828295833, + 634286590, + 65872778, + 873369673, + 48129716, + 104908707, + 840578058, + 169548563, + 492731162, + 45141742, + 212797839, + 249037453, + 841494862, + 734323085, + 388947744, + 926247227, + 672230083, + 202253312, + 734512334, + 937839148, + 44998267, + 967918328, + 559897216, + 997177046, + 843623712, + 399070130, + 599433687, + 826381085, + 336608287, + 629036902, + 31099415, + 933513378, + 4934745, + 790571729, + 894115248, + 677697394, + 427808533, + 516959296, + 233397560, + 278949672, + 138215745, + 133224401, + 339557464, + 392851981, + 958545895, + 188127147, + 883823816, + 229863256, + 23053409, + 714437179, + 330021152, + 712380201, + 287968403, + 814912800, + 386802800, + 897491745, + 660077647, + 951663377, + 879571817, + 439781095, + 921210178, + 886119612, + 67164456, + 784011224, + 212766174, + 37201767, + 537563014, + 440204513, + 986053838, + 266379086, + 867431146, + 460798750, + 350539260, + 570044678, + 528864368, + 191756566, + 630191530, + 340752075, + 252622474, + 272078954, + 237254537, + 612324001, + 225048548, + 96977464, + 210580168, + 515005199, + 431228832, + 91923590, + 971589655, + 706427483, + 722659013, + 453836675, + 412376649, + 445524448, + 972290945, + 327567124, + 990097132, + 37691263, + 100401635, + 936512, + 636715025, + 250671703, + 454832179, + 102252214, + 495009359, + 262527606, + 686127808, + 806945143, + 918281428, + 1937382, + 217673237, + 695892254, + 22644504, + 336304466, + 112128314, + 728563748, + 26135337, + 138614967, + 563519808, + 631776298, + 360925592, + 424696571, + 817761203, + 46630863, + 155149446, + 245206972, + 20950501, + 89489060, + 702380621, + 847616536, + 229039039, + 800550766, + 78883343, + 792038578, + 973953566, + 440233285, + 692143966, + 383258972, + 433511746, + 395440755, + 614642547, + 643363425, + 725085226, + 198670356, + 902937414, + 59026491, + 607011128, + 482232497, + 269972303, + 70396363, + 591704886, + 21148294, + 22298632, + 848503446, + 925818257, + 118195236, + 685415597, + 86405832, + 614748586, + 332890885, + 113252253, + 923809363, + 435867370, + 856670932, + 644304096, + 136421262, + 102952008, + 727731544, + 368072995, + 387323524, + 278365288, + 600373243, + 159935401, + 845077073, + 408449083, + 541726886, + 562242409, + 199132305, + 455811323, + 25301183, + 741157721, + 678896684, + 762751791, + 581888883, + 795479019, + 441530627, + 201583834, + 73429213, + 631784532, + 284747476, + 907867960, + 975473785, + 674248957, + 594621978, + 710664221, + 871301114, + 618294828, + 823602214, + 896759037, + 455548845, + 127296308, + 564446903, + 425337669, + 678243336, + 237252642, + 140082609, + 54139153, + 546568938, + 862658423, + 692954268, + 586106678, + 347089342, + 684119481, + 882293096, + 727622415, + 584225511, + 837872151, + 927812401, + 891020394, + 459098313, + 524229988, + 400618593, + 144233708, + 126665186, + 363617713, + 714757815, + 234359306, + 90483192, + 35696734, + 748412828, + 976610672, + 920023435, + 334790411, + 415613634, + 157769988, + 801962517, + 342275829, + 775080169, + 141978694, + 347443114, + 496900560, + 404302005, + 402702646, + 343813894, + 387209951, + 228924156, + 86075543, + 906861978, + 876974887, + 469502628, + 340179167, + 154015765, + 229157248, + 521977653, + 875389899, + 831090087, + 239030902, + 258473485, + 587239921, + 334458327, + 223893230, + 97450404, + 56998536, + 764507851, + 860064895, + 834148940, + 165676687, + 301660165, + 457546086, + 53832583, + 483941609, + 459130099, + 750333246, + 949324772, + 629360906, + 884290308, + 40405607, + 868914170, + 905159240, + 804155778, + 176128048, + 383352783, + 562393403, + 121624317, + 437718967, + 95844153, + 326500952, + 651919745, + 121327219, + 884634167, + 413839324, + 302678474, + 635755824, + 922535625, + 397520240, + 423569913, + 809083146, + 916931293, + 223671042, + 2794666, + 397755994, + 409982219, + 259104695, + 37760881, + 587011035, + 145232683, + 51604967, + 414047939, + 49542484, + 313082584, + 905333331, + 884527093, + 131031450, + 928697422, + 591308967, + 827004998, + 400057520, + 43890898, + 376902173, + 301771275, + 529224486, + 695228203, + 897721803, + 898696058, + 644890253, + 497317092, + 345730700, + 454564480, + 281742474, + 894500055, + 92175688, + 43045005, + 662881108, + 508640736, + 425205834, + 90452847, + 74616279, + 877738613, + 587899024, + 428739640, + 215350779, + 635264513, + 173775820, + 500378634, + 542058542, + 228168117, + 643034785, + 892880631, + 496078095, + 914164796, + 546195608, + 651878884, + 648464723, + 782956563, + 676768581, + 881479866, + 164176703, + 923044456, + 71948078, + 448759692, + 844253965, + 479054454, + 474753258, + 850058609, + 24095156, + 202596846, + 957576989, + 347226699, + 346930691, + 599649689, + 920132705, + 109781658, + 40769138, + 551160772, + 820516839, + 437063445, + 808349729, + 402696401, + 730630132, + 487661126, + 231124935, + 446348675, + 142082403, + 730588311, + 475029523, + 833398491, + 99590595, + 979378615, + 645768777, + 646557073, + 900367743, + 315090817, + 845582723, + 517748882, + 281730889, + 641806300, + 983547271, + 109829654, + 699123544, + 815225780, + 720042682, + 405125323, + 596324522, + 279499534, + 667442300, + 107332738, + 117010288, + 536656135, + 682270372, + 34714294, + 15742184, + 876395419, + 142010477, + 38560363, + 387042106, + 926796126, + 94593624, + 570446864, + 623955457, + 202120514, + 126330987, + 156757609, + 103806189, + 354899247, + 218660243, + 665763216, + 78760319, + 386445739, + 719773885, + 43793660, + 747518209, + 450503706, + 972821426, + 539259066, + 681996465, + 754771468, + 334841423, + 567434863, + 456320627, + 545910245, + 584109691, + 694096215, + 620682995, + 232964030, + 738544627, + 111419497, + 17906087, + 765004868, + 232917506, + 830993728, + 558021573, + 492769428, + 863702439, + 454066520, + 757348476, + 199072255, + 339192021, + 718136422, + 437434207, + 918245104, + 405788820, + 394301058, + 307939839, + 191730197, + 625294713, + 933474132, + 421750618, + 424620957, + 338532255, + 193804647, + 843036624, + 573038740, + 901675969, + 989224916, + 233216035, + 53438174, + 221059372, + 541921148, + 503920213, + 471125637, + 941962632, + 705247663, + 875854223, + 513504807, + 767781266, + 876613442, + 772908801, + 135351830, + 291849992, + 954992564, + 723576619, + 709831262, + 259739509, + 546879126, + 397241756, + 207788674, + 834729661, + 269076168, + 593795400, + 933289167, + 418196570, + 597971877, + 628384165, + 251737696, + 788124250, + 2335914, + 264477564, + 222370379, + 335071141, + 802601388, + 867104769, + 799030972, + 781989467, + 208396929, + 768867985, + 636528999, + 727357960, + 346945477, + 194701687, + 394560219, + 484201767, + 804853772, + 492666546, + 204365868, + 592213147, + 356026062, + 394301059, + 733623693, + 722229719, + 974946426, + 494005262, + 368846711, + 547047810, + 879104872, + 523996169, + 106500022, + 303914597, + 522424651, + 508719380, + 762412219, + 564392489, + 721800195, + 907297204, + 695285600, + 374191002, + 902713892, + 512611751, + 49675175, + 306705382, + 252032090, + 684724536, + 677716117, + 294025346, + 997967009, + 30234313, + 382293882, + 826323950, + 988528049, + 625041847, + 53895882, + 175104222, + 133514554, + 526997743, + 524755768, + 722169337, + 37207707, + 937626844, + 456099622, + 770216424, + 284876396, + 670644090, + 634900580, + 584552344, + 451665824, + 368398947, + 740074413, + 413343590, + 526968585, + 450318381, + 277139380, + 20941984, + 770816362, + 255343869, + 373165782, + 145818863, + 275104646, + 428606131, + 795721881, + 586733817, + 553053855, + 968270805, + 756357406, + 222591940, + 26828780, + 967161859, + 742206025, + 888148994, + 201919302, + 254509846, + 782091762, + 775852971, + 617524911, + 738387033, + 144328247, + 310344336, + 376249511, + 439064374, + 365510027, + 240779857, + 493885253, + 338385792, + 90885509, + 213704418, + 562619320, + 345059960, + 39363953, + 337464602, + 137736661, + 62294997, + 796338349, + 783259487, + 268172090, + 290734960, + 143651321, + 291506499, + 119930614, + 425298874, + 405783720, + 827397006, + 280952798, + 365035644, + 537840609, + 311960932, + 938824288, + 841547782, + 859014334, + 761384436, + 703197146, + 221802491, + 377957155, + 66091001, + 778816542, + 919671958, + 752073260, + 980728796, + 598718777, + 362565611, + 964268049, + 876951153, + 688235140, + 302875359, + 121267261, + 103640614, + 324005035, + 880662808, + 696756323, + 975840643, + 681498581, + 718557961, + 235742343, + 17836141, + 530417653, + 48023601, + 573004009, + 182996295, + 676654268, + 938998913, + 853271609, + 240328543, + 154068467, + 625325511, + 982037638, + 528407320, + 794644800, + 932133309, + 818251209, + 922570652, + 110122252, + 506729464, + 422418736, + 887075016, + 541789378, + 19598471, + 28360264, + 709482803, + 746686321, + 892286685, + 696173058, + 500027068, + 950457256, + 587589132, + 681444394, + 404526178, + 719010178, + 984311833, + 642038848, + 101706727, + 525973741, + 632787463, + 944979537, + 178196185, + 572131630, + 863073323, + 738251877, + 115457634, + 55035144, + 105635409, + 633812981, + 656649089, + 15936499, + 11764072, + 812418475, + 981306642, + 127142534, + 665847441, + 919675024, + 688816819, + 683099687, + 432479604, + 322494186, + 225519854, + 67031268, + 917579847, + 37125386, + 101332221, + 397665918, + 909446297, + 755406689, + 681879361, + 245934828, + 634684099, + 718610527, + 561914191, + 932093150, + 18252049, + 450053499, + 878075419, + 736573702, + 533681523, + 88186267, + 934301659, + 782777655, + 886082942, + 318556859, + 725255679, + 559021758, + 44254996, + 443968864, + 675378593, + 119447476, + 21778450, + 291854800, + 882426567, + 64731038, + 375988624, + 888352300, + 871509704, + 133846522, + 146970922, + 634663994, + 822806115, + 158227124, + 375187455, + 984859529, + 774463145, + 588537622, + 526454312, + 950248876, + 227531909, + 816263788, + 827840468, + 264432596, + 429123826, + 224415281, + 838920005, + 299288453, + 429522787, + 130794148, + 953593532, + 559551852, + 55504780, + 260286399, + 59695547, + 958332469, + 543475979, + 619470908, + 837122160, + 432665505, + 456330220, + 3993715, + 624013139, + 921429973, + 51941239, + 805297163, + 927463953, + 98110645, + 280038537, + 43664565, + 461653845, + 543300141, + 535644895, + 920949048, + 503023840, + 53889871, + 697771441, + 506746123, + 657516508, + 367443102, + 360288383, + 113581120, + 570458998, + 341916474, + 539998638, + 951965255, + 846205799, + 513162712, + 960786918, + 1403718, + 373625420, + 537150204, + 111953309, + 429163815, + 276846758, + 341840341, + 172741054, + 161961803, + 61499338, + 559615058, + 314125942, + 969107135, + 351351396, + 553010481, + 778222437, + 936929235, + 566995818, + 427594028, + 169947163, + 141980999, + 872033571, + 597607478, + 196238449, + 816878194, + 117884101, + 608223089, + 771070624, + 926273280, + 347851497, + 31606965, + 481687037, + 628154135, + 154581106, + 458551971, + 574450600, + 542158409, + 813656444, + 619470733, + 624828617, + 274549618, + 455065242, + 571417540, + 756752086, + 975910662, + 621143958, + 935287245, + 977888139, + 680735467, + 323187071, + 773962868, + 133170808, + 292443269, + 165920123, + 314820551, + 526721682, + 490561586, + 520207019, + 667753385, + 678032735, + 596898214, + 679881912, + 870065454, + 446203249, + 42705698, + 898997407, + 206214847, + 111091594, + 655186413, + 281007908, + 437535178, + 826093615, + 52997574, + 44753042, + 269524530, + 96831467, + 926656379, + 959875347, + 444704887, + 619955520, + 762123407, + 687606069, + 301661627, + 798550580, + 206199633, + 879519311, + 975551740, + 345925943, + 378011151, + 960631807, + 729061636, + 786870405, + 730285790, + 330266753, + 546651459, + 206271894, + 781844774, + 326229517, + 894446699, + 325275959, + 847402202, + 221423494, + 821124326, + 944018947, + 904667253, + 908009565, + 669396625, + 63718657, + 975087820, + 574112412, + 962912827, + 70440558, + 644829217, + 460548471, + 193209974, + 948558255, + 721635220, + 97274013, + 975075433, + 608971439, + 435196126, + 888753099, + 541563251, + 969093351, + 282374456, + 204746408, + 842005405, + 116795232, + 20728703, + 456840653, + 522456381, + 406362678, + 885578300, + 41364683, + 320079166, + 733875620, + 806517175, + 190002189, + 562996823, + 764198564, + 740627659, + 725571110, + 992623962, + 192364969, + 278218030, + 59010330, + 943960310, + 512629039, + 523078483, + 56668074, + 58483753, + 101624464, + 507757720, + 847039159, + 31629425, + 746497240, + 774106000, + 555615961, + 955513388, + 453532928, + 293122993, + 277206415, + 493598825, + 368637474, + 231922950, + 675055480, + 579136062, + 370489035, + 41252706, + 450128966, + 953246486, + 732683653, + 314292831, + 988546792, + 596553883, + 254601372, + 981380413, + 571542903, + 851463642, + 32588950, + 422610867, + 28900343, + 192069687, + 303938463, + 831602207, + 539658790, + 353305377, + 473853215, + 913985564, + 152380552, + 308130873, + 25307299, + 693998345, + 366464099, + 391695752, + 532557572, + 138713648, + 556152737, + 790656973, + 710109186, + 364206053, + 674664849, + 822085163, + 382676409, + 620595709, + 354861218, + 694864931, + 280550408, + 847900532, + 132213121, + 745258609, + 350385438, + 519316917, + 11207901, + 38665677, + 553023093, + 980560883, + 635096069, + 32652272, + 549077206, + 644370442, + 973749829, + 630676841, + 397353578, + 452826387, + 750803558, + 178315979, + 731116338, + 969079800, + 760809597, + 162631423, + 272998632, + 351723328, + 554435729, + 380201621, + 580246504, + 265069862, + 237464448, + 767698644, + 991809432, + 986810904, + 705889622, + 676138971, + 770453089, + 878494727, + 285526528, + 879134073, + 26844358, + 502906871, + 227958094, + 599530430, + 342729222, + 1331210, + 785978522, + 725397184, + 729377907, + 62870078, + 937824146, + 42177836, + 548132593, + 342281685, + 619025827, + 243601145, + 560672769, + 163318959, + 202526914, + 744882865, + 412687510, + 679597089, + 138071491, + 300486552, + 717060274, + 527903140, + 683505309, + 875152429, + 135349404, + 980359751, + 10764836, + 302530764, + 274424746, + 358042616, + 7293391, + 163499866, + 203507096, + 893560302, + 952807544, + 138736629, + 307249060, + 460324047, + 85297672, + 614373042, + 766424692, + 300939999, + 931252605, + 151424387, + 721749125, + 150107678, + 561558039, + 94383397, + 376066659, + 290740002, + 375309819, + 719495852, + 64430097, + 976164716, + 192040469, + 380268252, + 217496060, + 602853755, + 411456413, + 424656659, + 980866341, + 450088564, + 177080510, + 39913537, + 747905845, + 414597906, + 431001830, + 250894405, + 762407990, + 658392023, + 262748159, + 187028280, + 862872761, + 154713341, + 178868356, + 447279610, + 437015346, + 575585668, + 616888469, + 378849188, + 972151645, + 814854290, + 863361925, + 884834938, + 619058476, + 874175566, + 316359697, + 189340701, + 79429848, + 628710918, + 942687912, + 959026995, + 236155325, + 32261839, + 70351732, + 275236179, + 200130268, + 608452639, + 48140540, + 955177646, + 594714241, + 828778590, + 143395881, + 630497932, + 38034605, + 671710954, + 591161145, + 620196814, + 312407522, + 135112729, + 387887703, + 917017720, + 325522148, + 876489808, + 892065727, + 31931663, + 500115556, + 671689192, + 757949402, + 635320799, + 818434240, + 338554270, + 136445494, + 529300820, + 493636264, + 194571197, + 77574346, + 852667500, + 463745852, + 596610104, + 359689795, + 685103173, + 425629062, + 842294993, + 213404120, + 363998377, + 367110603, + 376787982, + 128951841, + 221555919, + 823925525, + 652505270, + 311526634, + 53439800, + 918930317, + 679622561, + 160457634, + 313131314, + 104929658, + 203048410, + 350416130, + 291389832, + 39314958, + 357843861, + 32475101, + 40760805, + 9114052, + 989629343, + 331292260, + 596245605, + 885684945, + 856323273, + 68888479, + 786044261, + 577132694, + 175492809, + 9190415, + 482209332, + 768039876, + 510690393, + 177395593, + 153271046, + 203850294, + 442038972, + 549059995, + 325971958, + 33221652, + 72002094, + 412827029, + 110571958, + 611116511, + 238937824, + 125000537, + 837439677, + 510064091, + 849609686, + 805532487, + 493598111, + 738264553, + 854650429, + 806187252, + 194171996, + 162355734, + 983731200, + 348139876, + 296439424, + 54691845, + 639286972, + 773617997, + 617451677, + 501364298, + 239206148, + 526672487, + 913741564, + 13661078, + 448669564, + 265590526, + 209532980, + 724468535, + 623550305, + 11456371, + 166595170, + 916498573, + 612259237, + 226085256, + 846326284, + 492308761, + 145670232, + 942833361, + 784931315, + 805146468, + 982177258, + 458580572, + 844087713, + 215705970, + 329874481, + 317393683, + 569117494, + 292774450, + 504905400, + 489034651, + 870438461, + 341233178, + 756776259, + 890714239, + 635798174, + 293943166, + 445108862, + 639271101, + 259129509, + 811971984, + 410854247, + 57558628, + 525543198, + 895724654, + 736974353, + 991554719, + 131537395, + 839041936, + 266080741, + 323055163, + 648292107, + 19835942, + 471843236, + 899129201, + 387154054, + 430963850, + 255614407, + 207285686, + 525991128, + 720880469, + 5755070, + 832320767, + 442130168, + 869265201, + 989526893, + 145681832, + 398425167, + 657523205, + 90468986, + 584770244, + 200566804, + 444218837, + 117440460, + 764741195, + 923571355, + 859106784, + 550797060, + 537569840, + 763957570, + 798785661, + 875557531, + 523057936, + 767892022, + 12510667, + 235737205, + 317790836, + 961897387, + 385903487, + 665443383, + 928840881, + 693698995, + 682597699, + 332093071, + 69424227, + 790937271, + 545830751, + 740062508, + 767219273, + 859254406, + 380776773, + 444356230, + 212606924, + 630650416, + 653615410, + 795481104, + 216245689, + 969083417, + 236557419, + 787823275, + 455266847, + 518638494, + 237879276, + 582183748, + 323813566, + 829556308, + 185432622, + 391749307, + 8494490, + 807947065, + 312003091, + 191504753, + 886256525, + 841449737, + 271015340, + 882766982, + 6016832, + 750461297, + 21075006, + 330677506, + 769126951, + 982208810, + 645876853, + 551666298, + 56617834, + 709725139, + 300323861, + 741753725, + 565539537, + 660007432, + 326069037, + 37406902, + 572264048, + 72457260, + 517135655, + 549420464, + 959565146, + 250764349, + 437633677, + 449719675, + 992955715, + 968493444, + 771783168, + 471273173, + 596987836, + 234394459, + 955233047, + 294933140, + 650240681, + 490974386, + 936256865, + 40639542, + 745838573, + 696924259, + 509709455, + 747907476, + 901701693, + 25190909, + 769742531, + 341526885, + 641353551, + 915002418, + 664866205, + 541571435, + 372334404, + 800343824, + 806350977, + 235463427, + 883246636, + 959089569, + 510531193, + 661557615, + 195505493, + 510815654, + 6931602, + 382229828, + 828359070, + 410028929, + 449400336, + 754132846, + 794275389, + 62208513, + 378748331, + 442332539, + 83382752, + 770642560, + 636326372, + 57151321, + 748816715, + 458215020, + 277869413, + 949729754, + 701934019, + 673931114, + 801055665, + 816717809, + 920715471, + 975696806, + 162453901, + 826359837, + 950538006, + 93396432, + 129024383, + 228429347, + 285530655, + 512822878, + 626295117, + 874468415, + 556306598, + 523730653, + 632381055, + 471596721, + 807821919, + 465560209, + 625644232, + 691263911, + 228854930, + 486186164, + 607980870, + 753319057, + 926959747, + 481723048, + 762441505, + 917209440, + 312838662, + 846552557, + 209192922, + 585569400, + 209602178, + 640083532, + 471719787, + 12001475, + 595600927, + 216850256, + 831162544, + 638170749, + 368010937, + 351725728, + 220373495, + 63396881, + 659281384, + 826620756, + 988682899, + 653984385, + 236906744, + 503850487, + 993637358, + 640680566, + 456866706, + 997507472, + 299546546, + 273045731, + 94384440, + 362505537, + 457372005, + 843513037, + 715167218, + 226550042, + 601209048, + 951632041, + 535063143, + 943218653, + 525567787, + 595571228, + 69341515, + 709483356, + 144255579, + 254732918, + 247053850, + 392590176, + 127075455, + 931296749, + 900678770, + 194899005, + 531323099, + 50307831, + 23634310, + 465415133, + 829154383, + 339131156, + 300575496, + 61162017, + 801427742, + 344630990, + 13557891, + 973089209, + 101629618, + 888750663, + 58085587, + 116782218, + 716181553, + 939780727, + 649461580, + 308389597, + 4933099, + 299085811, + 9564074, + 388777525, + 132075868, + 657627856, + 762011191, + 190398922, + 705164102, + 192321813, + 581898708, + 345810169, + 358371737, + 332036016, + 717564014, + 663723752, + 821373348, + 106277409, + 377469631, + 654213575, + 162162117, + 274951884, + 269441718, + 590787898, + 840145087, + 885971846, + 981175321, + 765724574, + 962091479, + 2926838, + 964228116, + 697971092, + 769795264, + 789798141, + 337748721, + 722101172, + 316696131, + 287190511, + 9657420, + 669782911, + 298056695, + 154898579, + 557988367, + 457459161, + 204394618, + 145922351, + 85609095, + 57270204, + 870389433, + 144879668, + 820343035, + 732506250, + 718844806, + 55889531, + 81076946, + 406722911, + 252035790, + 919961902, + 601372189, + 75792693, + 86342765, + 547789571, + 378077465, + 79419696, + 685833681, + 394099694, + 790959774, + 295703209, + 253796131, + 33905460, + 931759836, + 463913795, + 860418500, + 947537861, + 210646051, + 77423826, + 396128593, + 63595598, + 121573738, + 104364120, + 548861259, + 238530871, + 438687344, + 264140165, + 820088402, + 952206536, + 489220665, + 951299503, + 249585320, + 912272682, + 43809245, + 348755040, + 901784271, + 83027637, + 599872188, + 938097569, + 316343587, + 10663436, + 462989964, + 201300935, + 831654470, + 130561234, + 462653233, + 594871167, + 656489735, + 557723944, + 356071108, + 577664894, + 936278815, + 434700472, + 212590415, + 487704781, + 926501764, + 595745712, + 221985048, + 709680943, + 599508377, + 71602008, + 821354004, + 54137871, + 66992083, + 856885348, + 396797865, + 213593436, + 7318581, + 633589678, + 487426685, + 977346328, + 106767859, + 840217505, + 3819382, + 722913028, + 117306121, + 9623568, + 465888315, + 199696802, + 582418095, + 700809146, + 94444910, + 85784839, + 694420973, + 438472155, + 190720793, + 216113195, + 812132654, + 410977303, + 67132049, + 380466500, + 651185435, + 61535614, + 663833479, + 383020995, + 768111364, + 932435842, + 634162960, + 147788773, + 883752425, + 891440455, + 804045825, + 858454359, + 801470478, + 684837502, + 908252695, + 557340514, + 717883608, + 694799281, + 869518363, + 643272988, + 569381614, + 366610539, + 700623600, + 280547313, + 184712473, + 312195745, + 170103548, + 86597476, + 824245371, + 927740837, + 88891186, + 430723154, + 412434106, + 860972048, + 89367642, + 987707294, + 819148004, + 190506112, + 967788421, + 180809811, + 959878067, + 2495558, + 794028163, + 53231938, + 673289386, + 142502791, + 219462293, + 435810100, + 579922109, + 314040705, + 271285339, + 357101831, + 298910469, + 761598806, + 477406413, + 714416882, + 212685498, + 798143269, + 608813964, + 347181212, + 50036615, + 492005512, + 656915369, + 994949753, + 194319928, + 325324864, + 123131929, + 79362801, + 633452640, + 569586780, + 328807555, + 55439112, + 756128013, + 766312061, + 296743114, + 187143403, + 961210711, + 396353587, + 894140635, + 790359733, + 51476334, + 986089924, + 993387296, + 272018898, + 684042114, + 808408255, + 768885670, + 476914318, + 557037411, + 497117004, + 994401794, + 667766629, + 544620503, + 705028659, + 21850876, + 315593519, + 38764888, + 935518999, + 62505126, + 148433881, + 461176239, + 402734365, + 123880746, + 864161677, + 976234724, + 331404898, + 408941322, + 692656988, + 193601003, + 41231402, + 616706722, + 458215974, + 48781654, + 843797673, + 331741171, + 728814270, + 614000399, + 181083054, + 207685577, + 156695349, + 620308392, + 415749270, + 870217429, + 517235109, + 576118953, + 673952869, + 728758397, + 111678328, + 81811103, + 707157196, + 99730760, + 435524581, + 364302095, + 363830596, + 86328278, + 746491393, + 326362956, + 268570487, + 473881382, + 573144625, + 34130654, + 241798756, + 221661593, + 475246372, + 784822852, + 437797480, + 84314389, + 433217058, + 578999791, + 360049769, + 678695736, + 618427950, + 178921363, + 831600485, + 992685185, + 850431218, + 326844148, + 324378422, + 588142463, + 385075182, + 374361984, + 861688495, + 338989471, + 340300409, + 266340440, + 200376782, + 215854548, + 923212486, + 447039698, + 521543991, + 197941775, + 723306015, + 248035199, + 48968472, + 353182723, + 214526061, + 923638638, + 270000532, + 191765947, + 294671668, + 815883876, + 176667164, + 760766010, + 201132563, + 519619182, + 608026474, + 632637447, + 819887564, + 832421049, + 608478723, + 213858397, + 99815688, + 596458441, + 348003355, + 821729361, + 403431358, + 291995623, + 427626035, + 111439364, + 622568046, + 121426529, + 204697071, + 180654299, + 580007845, + 78140541, + 892333457, + 438912170, + 844281487, + 9569218, + 76452938, + 952437978, + 412465190, + 859254583, + 904080960, + 368045761, + 718848389, + 686136312, + 121085622, + 642551652, + 177989288, + 392997188, + 857933904, + 78612369, + 346474640, + 243734658, + 256908736, + 610242980, + 39534363, + 985346903, + 699118842, + 204081148, + 52305213, + 861204063, + 467541940, + 606105274, + 80143464, + 973606614, + 261621002, + 712036920, + 731494073, + 312475884, + 767114240, + 178012715, + 531406995, + 165480138, + 97034107, + 894212927, + 199334380, + 886546003, + 697569618, + 759359164, + 925169314, + 785057459, + 354443423, + 107401290, + 463912333, + 492540291, + 341386658, + 300144514, + 41073984, + 110328927, + 876310698, + 12530762, + 792625971, + 3377345, + 60376372, + 994349223, + 790446815, + 339814954, + 176758533, + 233113483, + 466290040, + 329155198, + 159645620, + 276206717, + 538529399, + 453687921, + 880444855, + 596720783, + 400630306, + 91614717, + 2698100, + 276968269, + 212555952, + 274222418, + 554605638, + 38917567, + 34674526, + 877892446, + 720205762, + 462900957, + 250964918, + 187203113, + 827461746, + 203307741, + 646872016, + 193171356, + 212990842, + 194381791, + 440719117, + 633490741, + 619274957, + 334015810, + 485895810, + 448924279, + 736325457, + 619779259, + 716876130, + 661176747, + 940573289, + 673519855, + 708218056, + 37970778, + 980082109, + 361434683, + 567562403, + 44563632, + 920722999, + 623658797, + 594542993, + 205307277, + 741431463, + 215207115, + 173477543, + 889496849, + 607677061, + 845816492, + 284324480, + 490248829, + 847723799, + 853148036, + 285534543, + 60938848, + 976707202, + 430127735, + 703638250, + 409268647, + 187152032, + 98281134, + 272984837, + 290434098, + 26573434, + 574310971, + 122248679, + 459450009, + 154559768, + 204607588, + 788103938, + 187627623, + 79944406, + 885934071, + 959382838, + 940122218, + 528358235, + 228316724, + 467092844, + 484371158, + 4950922, + 87838508, + 607736080, + 10948794, + 805754219, + 192905155, + 793436240, + 856998271, + 494325045, + 873857406, + 66378025, + 408730227, + 189136518, + 61493142, + 929865721, + 924709062, + 743826095, + 292891888, + 805145517, + 608448845, + 201081812, + 410822293, + 317680141, + 409492553, + 888217678, + 817416635, + 392584648, + 265285951, + 669933113, + 146184809, + 796302251, + 990079881, + 487528828, + 634922829, + 996457980, + 987002037, + 332373475, + 937191257, + 837249583, + 292118065, + 826732897, + 962754365, + 273708121, + 160204849, + 882374686, + 619478519, + 501291017, + 885807650, + 35186851, + 704007458, + 759698792, + 937845943, + 591955123, + 881279695, + 732448380, + 561301852, + 132093927, + 912342902, + 506290512, + 491145499, + 614108050, + 68626318, + 208320892, + 493350256, + 281264389, + 497177563, + 360219348, + 867045044, + 756087413, + 733199184, + 624606739, + 559523432, + 270658258, + 576794223, + 8512397, + 891493619, + 443840661, + 709456857, + 262451529, + 906025488, + 835086971, + 466380620, + 908543219, + 971174960, + 828805926, + 158396998, + 573081832, + 762607064, + 245536485, + 648781260, + 221701573, + 837223625, + 598044595, + 628893951, + 529198698, + 28454686, + 836720295, + 836628124, + 959603692, + 582306205, + 114764129, + 200515729, + 756776571, + 779857292, + 127663976, + 190599776, + 36469572, + 336752272, + 411032856, + 872264163, + 923234662, + 659036040, + 643857528, + 246368093, + 18137011, + 816512956, + 519940543, + 279599931, + 670786097, + 989900993, + 582937112, + 668246420, + 156945432, + 60353298, + 257355633, + 567076580, + 928328104, + 514239587, + 934864954, + 798196655, + 939236756, + 314243232, + 238411913, + 9287335, + 596118744, + 748396732, + 351026979, + 945582044, + 710706374, + 725609356, + 89392976, + 158719897, + 1719803, + 58077915, + 269921199, + 737852793, + 799809615, + 146111126, + 386627523, + 502440911, + 484917069, + 779027186, + 475171165, + 574276446, + 14420177, + 898443122, + 565778871, + 902794659, + 663058127, + 981357155, + 998484935, + 347698453, + 396158218, + 490011772, + 485041657, + 872975470, + 974663183, + 842956850, + 378570108, + 492204456, + 363821193, + 815855650, + 796858844, + 907458902, + 78175615, + 889623870, + 390630408, + 727112262, + 826117130, + 266173806, + 665541866, + 588113805, + 616057664, + 432731895, + 701912525, + 639663835, + 242847366, + 987831771, + 561193457, + 700557636, + 854934645, + 190302811, + 943958551, + 593635819, + 808696176, + 691017846, + 894209724, + 331686985, + 761700313, + 502027826, + 503084945, + 611218506, + 273842539, + 138086485, + 475072455, + 147768322, + 208905080, + 424139493, + 548312572, + 113292786, + 934275775, + 751997337, + 848352959, + 82727738, + 525076001, + 781644640, + 811709986, + 137074694, + 860147050, + 135940196, + 318064359, + 112403588, + 395039925, + 946136782, + 178740872, + 990144448, + 912031403, + 996491461, + 852414841, + 175096578, + 455544189, + 892679300, + 90028423, + 386884146, + 551686888, + 586054066, + 835209094, + 309857504, + 968112445, + 388146850, + 658544444, + 973038311, + 409895236, + 510431261, + 200753244, + 795376580, + 634070554, + 887877422, + 395845053, + 125316571, + 254112105, + 261774283, + 198665671, + 273259230, + 613334230, + 374756448, + 135132193, + 224069552, + 457287145, + 882407321, + 912548733, + 320776803, + 841827413, + 87607810, + 247906864, + 90060945, + 563561653, + 370399895, + 429776901, + 701941272, + 591184107, + 42242654, + 132493494, + 623937008, + 232848164, + 420070816, + 826156332, + 533892158, + 777683866, + 937023748, + 729327040, + 213087697, + 579487088, + 276626641, + 865654665, + 831953060, + 949939339, + 147613666, + 402584685, + 189908267, + 422415770, + 537069623, + 439248837, + 714734960, + 924459570, + 462569961, + 767069690, + 496375779, + 30983173, + 242228375, + 637609222, + 99414579, + 667027794, + 996022751, + 501271139, + 160579950, + 474179509, + 826536234, + 702001658, + 754425239, + 43530450, + 384459162, + 417332265, + 961106733, + 611395100, + 758469889, + 327478685, + 444283296, + 828687856, + 837106191, + 840559285, + 762456109, + 590754626, + 557836673, + 236079597, + 784853669, + 598703855, + 573818038, + 161509795, + 878731108, + 203047502, + 412457755, + 980618319, + 648620912, + 242752064, + 798872539, + 68439678, + 616531509, + 260000359, + 209196613, + 739766364, + 181192032, + 861799412, + 691331907, + 858850117, + 819547223, + 1150464, + 503072638, + 961385950, + 234470327, + 126327052, + 811458251, + 461907182, + 454336128, + 194399485, + 282859479, + 944696443, + 827108904, + 760747834, + 621889337, + 826282238, + 72173167, + 364977054, + 404378526, + 364248110, + 38541217, + 752707598, + 201297259, + 295617150, + 200318749, + 623021770, + 654374411, + 401060688, + 640659106, + 703665912, + 23099631, + 475593337, + 167637597, + 354796952, + 880881516, + 54493414, + 871391453, + 592035174, + 205802088, + 369588094, + 80609983, + 961084515, + 402358170, + 325639527, + 384444135, + 402355164, + 185265007, + 974501033, + 748024788, + 28348466, + 969189465, + 737011519, + 883277840, + 670006494, + 854378237, + 13595348, + 464469788, + 326785162, + 994951862, + 662870853, + 798183391, + 937457385, + 586815286, + 256572563, + 325381142, + 201415253, + 808627115, + 811335213, + 164030385, + 74985402, + 490691587, + 256398830, + 297709763, + 731018714, + 218325505, + 515957781, + 341129316, + 18483616, + 506904406, + 419634062, + 753715202, + 278439828, + 664414157, + 512736228, + 904388898, + 582163053, + 264864284, + 202448480, + 343435197, + 623349965, + 139734047, + 786675232, + 306427434, + 115004998, + 128815247, + 478725100, + 726561050, + 564876212, + 865340235, + 256330592, + 906938975, + 207257099, + 909474104, + 427725038, + 876397589, + 461778263, + 398272123, + 519708990, + 820787611, + 169591777, + 411206678, + 830491677, + 384832047, + 750619726, + 84921906, + 989580692, + 136211437, + 944475446, + 463577202, + 812696165, + 365126295, + 320148460, + 75442925, + 320211549, + 605994281, + 21121370, + 18455898, + 541907606, + 473556068, + 818271436, + 71392326, + 339929728, + 209146888, + 899531083, + 540187946, + 164553653, + 110563327, + 399400884, + 929664856, + 984801855, + 326932244, + 407317520, + 863233774, + 881097195, + 547952339, + 555476900, + 120429515, + 930589563, + 941207173, + 331007092, + 682892182, + 864487690, + 914593391, + 380469773, + 446403517, + 475796453, + 140684554, + 925969229, + 529341059, + 133984475, + 974499274, + 544670559, + 717405384, + 815624352, + 830973477, + 153406905, + 961617048, + 541025477, + 682536729, + 249398452, + 287454500, + 915446546, + 605701521, + 491038151, + 977198156, + 361453718, + 909373408, + 627258541, + 121942134, + 959862407, + 221844451, + 451702838, + 389276718, + 454782350, + 764209895, + 738649481, + 317549110, + 828065931, + 929048218, + 247641522, + 729417194, + 991649535, + 230773381, + 140341084, + 450917085, + 312555269, + 445150842, + 879541685, + 907620015, + 995211279, + 283997856, + 553074165, + 447928676, + 703373344, + 761263441, + 74556710, + 875141401, + 170631529, + 124702563, + 720760139, + 873060984, + 905856839, + 626942643, + 328096154, + 578565260, + 847247395, + 40064030, + 776948629, + 991408394, + 131159218, + 321789864, + 710114948, + 745128436, + 985090031, + 424388426, + 887945089, + 417485025, + 454791575, + 500564606, + 827187127, + 581207589, + 367126440, + 692209013, + 408178531, + 894936016, + 945998614, + 604312759, + 788265136, + 73501957, + 135835043, + 279457641, + 194912394, + 725057256, + 990923061, + 262809143, + 301364168, + 906377207, + 523454826, + 984175409, + 249908287, + 629779263, + 75396703, + 256934153, + 516947537, + 469729236, + 552998754, + 85178820, + 124032170, + 302668082, + 666225148, + 572281347, + 689848055, + 170408227, + 811081317, + 135824530, + 842477307, + 152921565, + 273113096, + 600221913, + 414407528, + 721570262, + 503595930, + 705159982, + 869752973, + 171416692, + 691371308, + 812178743, + 624326102, + 874690508, + 600426913, + 636927211, + 856147295, + 825935870, + 73228144, + 517478151, + 819771796, + 267042650, + 340553411, + 175756278, + 108785274, + 545158226, + 126060584, + 331208625, + 804860822, + 862384582, + 29715076, + 447480380, + 489160954, + 446055858, + 924403529, + 414733762, + 224535012, + 318489280, + 688959557, + 241000029, + 590815791, + 97627841, + 275623132, + 692095564, + 936954806, + 157825252, + 424749232, + 937376723, + 65064405, + 297063734, + 513089529, + 201978937, + 155395404, + 597019352, + 451288900, + 308835371, + 785137110, + 154537272, + 24620718, + 604489017, + 620018880, + 228170582, + 262687193, + 732820010, + 475623308, + 913033906, + 203605132, + 960821337, + 255787579, + 10324819, + 772676424, + 151372633, + 191613175, + 727199129, + 851180641, + 698102224, + 277480386, + 795379362, + 516011658, + 395866303, + 214820297, + 802230932, + 790519922, + 41919061, + 980060671, + 119679994, + 764228445, + 174144078, + 716413604, + 209054142, + 896831530, + 204341498, + 421457619, + 744750697, + 943620883, + 99187646, + 195977921, + 195948876, + 757868233, + 562041684, + 890548077, + 733605630, + 215650371, + 110632204, + 140655374, + 145866191, + 518895193, + 459736305, + 5929870, + 875521827, + 346984959, + 939473614, + 469661700, + 511213033, + 371211082, + 100241111, + 425428675, + 553402119, + 771791394, + 621055817, + 75915210, + 730749612, + 682954708, + 440164260, + 219380166, + 224257133, + 700177965, + 786350904, + 252902183, + 229506582, + 701591093, + 260396561, + 437980844, + 336575059, + 778994146, + 203670354, + 423483327, + 376572797, + 442557469, + 694762130, + 680425984, + 687246810, + 13005729, + 712135452, + 180417531, + 838409874, + 845728988, + 199235178, + 59485630, + 307998968, + 330570690, + 980963434, + 912604296, + 814143911, + 911613969, + 800234982, + 301288706, + 971092076, + 957030074, + 994674869, + 625804951, + 449040462, + 666128341, + 724769778, + 171335809, + 880630599, + 159203076, + 888980883, + 610317538, + 260070264, + 940756685, + 580393587, + 112725065, + 166607433, + 337176444, + 915866806, + 941286898, + 438446140, + 923211262, + 473290563, + 25878594, + 53726486, + 423247441, + 937022638, + 876552170, + 737494062, + 984339467, + 105775429, + 73065143, + 73420661, + 254951229, + 386406945, + 73040070, + 665091333, + 214177010, + 140429170, + 234396864, + 383495955, + 613561973, + 838984843, + 409504019, + 815517891, + 849147413, + 662259145, + 337904637, + 816384562, + 325863910, + 426019015, + 276961187, + 990303403, + 534560241, + 82909948, + 392594836, + 966339906, + 948108675, + 163415919, + 149939167, + 168505784, + 147295257, + 664315696, + 711045969, + 962614784, + 7620934, + 980502662, + 496169581, + 967042967, + 955855276, + 241571387, + 361589807, + 94705725, + 731916655, + 788350004, + 390079877, + 804896091, + 809261850, + 307265441, + 593303548, + 647100827, + 54558400, + 317997854, + 791028838, + 201732727, + 450907070, + 866554185, + 279483418, + 788014264, + 57823610, + 376130992, + 208252442, + 708564937, + 990357966, + 288046223, + 424832959, + 189686605, + 815280648, + 632141298, + 608439751, + 262236797, + 356814321, + 109838100, + 620269543, + 292281029, + 442360584, + 723347572, + 722048276, + 592692246, + 175093639, + 808220122, + 364550114, + 597556582, + 15749580, + 529256512, + 187046352, + 121362450, + 388786701, + 979671005, + 465697245, + 313541667, + 806946897, + 263095189, + 290486403, + 166407225, + 935160232, + 846239735, + 41563869, + 178010614, + 719583817, + 544833681, + 820855128, + 596813480, + 704959710, + 948970464, + 70177618, + 511348315, + 472238188, + 781825253, + 484699019, + 952680148, + 530380815, + 784195274, + 764174682, + 798600043, + 592204235, + 75434209, + 8166141, + 279553787, + 168628972, + 496394971, + 527994783, + 517543395, + 252321046, + 70654741, + 758024840, + 397794498, + 118477889, + 262790772, + 550909888, + 460915142, + 986420838, + 663747166, + 191816127, + 628796262, + 182271625, + 105275084, + 83062125, + 163369005, + 595655502, + 293026738, + 98762035, + 238460353, + 511446978, + 78013361, + 121149664, + 8624808, + 777372166, + 937094406, + 265154926, + 776401982, + 505051390, + 960470907, + 928631876, + 482919208, + 673057777, + 301472925, + 353044291, + 959448843, + 812560663, + 419169589, + 354268800, + 36225700, + 183682663, + 879233542, + 123242291, + 342271862, + 736094280, + 474662938, + 886804353, + 811514801, + 779942955, + 936492211, + 968011092, + 975341777, + 533159823, + 11028927, + 957016887, + 364152833, + 410120908, + 484859671, + 248309442, + 863679106, + 995848376, + 474790902, + 636567171, + 689255752, + 70197333, + 793206309, + 312390730, + 438710270, + 721807456, + 930970811, + 340750026, + 445169718, + 313214919, + 672530893, + 994447906, + 381761552, + 978406474, + 384426562, + 991634751, + 523333505, + 958039852, + 287727146, + 536021526, + 810550187, + 925739515, + 694527843, + 423750730, + 909442920, + 36198203, + 253146788, + 937894034, + 242635101, + 831967116, + 329453632, + 745371161, + 524915006, + 72759092, + 693926200, + 150259532, + 347939158, + 231996580, + 160477260, + 941243793, + 380627186, + 271955842, + 575370896, + 987636384, + 426629340, + 25879733, + 320035163, + 382972405, + 641084022, + 521031142, + 265572986, + 371500459, + 686098916, + 355059274, + 987999867, + 238843928, + 935805799, + 171002473, + 378353913, + 69554730, + 193661460, + 121276124, + 610209803, + 34706888, + 909089001, + 852307480, + 693845268, + 737174719, + 198369388, + 531191200, + 509544861, + 399304458, + 222551477, + 482766165, + 285540185, + 163983640, + 685645614, + 783581675, + 94192008, + 555585878, + 609125050, + 890861612, + 454582197, + 202351129, + 144357638, + 453101193, + 82015663, + 112237510, + 940237360, + 936627570, + 647766505, + 179382300, + 565573395, + 276235559, + 369477425, + 11536170, + 289133646, + 53179888, + 555867705, + 621685090, + 132678771, + 659014200, + 597154346, + 209887307, + 267466858, + 725189737, + 534192288, + 126028606, + 41825736, + 866780785, + 170612318, + 750987079, + 811912981, + 744446211, + 70989612, + 436351830, + 44790994, + 801518956, + 417772089, + 525498542, + 494526693, + 396278405, + 119827726, + 974008868, + 591534822, + 891443299, + 882518835, + 42400532, + 104092878, + 337630936, + 338417657, + 270461677, + 844429103, + 225297400, + 591598172, + 952575799, + 733240170, + 724937523, + 657274519, + 123901276, + 646950796, + 735679546, + 839961026, + 700312898, + 653860830, + 585583792, + 328157176, + 283396066, + 986514154, + 693439811, + 999215414, + 167472749, + 854274588, + 949957342, + 415336511, + 819001566, + 908394123, + 417651874, + 309194216, + 129186881, + 969656294, + 728384208, + 911266969, + 503679563, + 123602829, + 265023951, + 660044170, + 4397939, + 964412931, + 341631254, + 307752164, + 443994280, + 901595004, + 864338333, + 97957216, + 668228879, + 997528186, + 615954398, + 215185205, + 569197319, + 848686284, + 442808693, + 186829782, + 209639441, + 790584676, + 825938374, + 879787114, + 774035953, + 212980350, + 42543816, + 552198307, + 585331367, + 502947143, + 752342796, + 650644375, + 957027723, + 973149231, + 749777072, + 175852964, + 639509670, + 379598690, + 394973536, + 93626233, + 408760948, + 179667960, + 686757982, + 705691062, + 989903145, + 764254713, + 274635998, + 121131501, + 356921592, + 305388958, + 162559039, + 372312087, + 709988602, + 112668206, + 490591262, + 794105981, + 518899912, + 331042842, + 970758861, + 197297252, + 390364636, + 85166700, + 349411492, + 698540766, + 413061136, + 993272933, + 786381318, + 343894922, + 20917284, + 4162469, + 818986811, + 788392271, + 343864149, + 49813590, + 854778573, + 577329127, + 212290533, + 582017931, + 181499940, + 718292918, + 976197912, + 653388167, + 607129045, + 7339064, + 225240018, + 485774889, + 86942900, + 328392154, + 479547052, + 772380189, + 475228221, + 847088734, + 14313225, + 575692530, + 90328446, + 763361740, + 171004488, + 709335576, + 400612011, + 99914507, + 51609070, + 62520579, + 319803593, + 714094857, + 123215178, + 477615656, + 16209250, + 199351999, + 538780836, + 561036744, + 107923232, + 523998792, + 166330927, + 853896866, + 381803422, + 531229335, + 728074918, + 689573684, + 907573007, + 590581884, + 916711217, + 95609844, + 129410712, + 56584327, + 959503064, + 957056750, + 174215174, + 744459038, + 628985450, + 544700981, + 256370856, + 274085016, + 569969065, + 80965709, + 570140769, + 278915121, + 384090535, + 908985961, + 495909709, + 899372711, + 798393288, + 634366113, + 367735202, + 222448367, + 351845737, + 954035471, + 983250113, + 820438584, + 42704652, + 653660836, + 812552967, + 657742693, + 792480327, + 753678477, + 263812641, + 154229201, + 496536597, + 999420510, + 299597162, + 364773715, + 211490008, + 21104206, + 310972890, + 186942321, + 757251207, + 812453231, + 663833786, + 922407489, + 59946741, + 564704393, + 126756380, + 685616429, + 893601589, + 736990521, + 400966741, + 116627896, + 112251287, + 358147473, + 656532732, + 341659779, + 781811635, + 496072654, + 84594744, + 834210672, + 774323215, + 286979415, + 236179242, + 497487631, + 986294165, + 606264334, + 581344411, + 604436841, + 89367990, + 183301355, + 735670029, + 428543862, + 505296770, + 785706692, + 234715939, + 277162883, + 32222492, + 18460317, + 271996127, + 799991118, + 760150530, + 269722520, + 146813081, + 926958666, + 951859911, + 503574939, + 195066606, + 804553622, + 215936770, + 918069808, + 378537540, + 798837642, + 425180116, + 165197802, + 499316498, + 22168589, + 185500076, + 508722878, + 889723976, + 908263988, + 139195262, + 606246954, + 657755291, + 315325647, + 228660461, + 927778893, + 773886452, + 439856948, + 162230151, + 879081064, + 101925670, + 524899845, + 354342522, + 133025868, + 108866469, + 121189181, + 270276064, + 969560216, + 722147931, + 313498007, + 719133170, + 624863408, + 938930036, + 536249581, + 425190927, + 272648950, + 434021221, + 387834573, + 292316946, + 274994692, + 507311664, + 570350651, + 195366142, + 485475398, + 442659745, + 471245125, + 706289563, + 654688224, + 271869745, + 209340773, + 706623957, + 567840485, + 616912489, + 167930641, + 303686752, + 367962771, + 350789032, + 80236200, + 488932009, + 964321600, + 927976838, + 81006556, + 774412764, + 160244233, + 471356767, + 991797103, + 666297061, + 416998448, + 934599153, + 595460050, + 776591390, + 257742904, + 808988958, + 693050843, + 103653544, + 128413832, + 354563702, + 462954621, + 195328082, + 359138347, + 441836915, + 957489681, + 796564917, + 846676910, + 540525398, + 513848662, + 997378051, + 228900217, + 171561307, + 884494259, + 721353654, + 167291613, + 123767666, + 215668879, + 729854390, + 397159915, + 5679327, + 91757280, + 460993580, + 758892395, + 63364111, + 208641496, + 970003687, + 634189428, + 430341582, + 744490912, + 968857586, + 949030417, + 553839150, + 216345426, + 782160216, + 792328776, + 395705944, + 866853155, + 286856891, + 52236982, + 297869558, + 201704212, + 642231314, + 334898280, + 455213838, + 232079102, + 352590943, + 178636650, + 535975629, + 82298428, + 646038502, + 502890869, + 706507039, + 474355858, + 378367492, + 535213711, + 116407579, + 319484256, + 720767517, + 246535744, + 149382399, + 917995160, + 670775554, + 681126581, + 954512373, + 797491622, + 604082172, + 729862161, + 511091348, + 100672983, + 385805541, + 762425255, + 256157537, + 931194850, + 560295789, + 722837799, + 328350201, + 354399213, + 92596021, + 587112390, + 810973259, + 938371616, + 329036152, + 46203198, + 11616611, + 21259407, + 692061430, + 750532131, + 105217242, + 726942756, + 514312248, + 941080895, + 335716006, + 907162999, + 246758021, + 552082575, + 75297184, + 709313219, + 695892239, + 580985617, + 426368424, + 824466468, + 170874326, + 903685463, + 174693086, + 947539186, + 37396746, + 101157192, + 662256145, + 260992070, + 622977927, + 968943493, + 901178788, + 862455773, + 76973103, + 433756078, + 68125774, + 825843489, + 329407402, + 955478178, + 600573316, + 479181475, + 453581187, + 595941271, + 433304677, + 56378151, + 633487342, + 494755687, + 493647493, + 702660394, + 836942765, + 920512286, + 969629067, + 708496326, + 976141398, + 673631482, + 481578887, + 745001298, + 228865290, + 492279631, + 902358953, + 665644545, + 357636002, + 407896753, + 399474653, + 957377649, + 720649709, + 312245988, + 726258976, + 655544170, + 656631691, + 923978810, + 525496169, + 583172968, + 278704317, + 266763811, + 868822416, + 289935922, + 413678974, + 742915793, + 625366611, + 417987874, + 154357619, + 378033914, + 586283498, + 821889053, + 545559974, + 299862341, + 386532046, + 239241952, + 856158621, + 887565736, + 934086935, + 495469834, + 804782016, + 300335237, + 253522125, + 516950612, + 191703017, + 690509366, + 389966439, + 774017734, + 305822339, + 43597842, + 28146425, + 840223154, + 40448111, + 762009308, + 964358276, + 776198924, + 676125809, + 405387575, + 889967028, + 958667358, + 239935066, + 89479564, + 685958360, + 367961757, + 811350539, + 630777525, + 568511668, + 374273340, + 283463622, + 781474126, + 211086524, + 390712317, + 40869657, + 253756557, + 626884512, + 113319930, + 428770206, + 516517849, + 182327581, + 258051145, + 751062164, + 453021476, + 209763508, + 935194281, + 20060535, + 60414480, + 177719930, + 884271211, + 109869739, + 209653092, + 708260, + 385501635, + 886535262, + 867463132, + 978581191, + 598943712, + 805049182, + 260627808, + 163405322, + 286408763, + 743219258, + 128122552, + 534875474, + 54629670, + 649512062, + 279312123, + 402845103, + 359140116, + 372800395, + 539408118, + 137486651, + 66594538, + 648677736, + 249037799, + 352003761, + 805983648, + 855661793, + 838101977, + 966584215, + 254313752, + 707375407, + 179607649, + 200880027, + 143531642, + 715758635, + 114842541, + 777971516, + 533948872, + 853579446, + 237192132, + 399153048, + 253078883, + 786767054, + 621974218, + 661204384, + 384911236, + 186524396, + 694187772, + 41970709, + 919169660, + 864282142, + 239421868, + 339161732, + 516488567, + 519958019, + 528531659, + 61409824, + 173364939, + 182203345, + 98940850, + 349373260, + 856604823, + 916497458, + 674392523, + 282236000, + 713833160, + 462506977, + 708401279, + 694659673, + 579465778, + 13682218, + 535394141, + 727635635, + 54414410, + 80052747, + 921974647, + 988265240, + 641338878, + 857810302, + 877310557, + 543762279, + 680159043, + 828170042, + 248374536, + 996825065, + 914358257, + 483572020, + 872306412, + 102228516, + 363830363, + 199715027, + 483424229, + 681246862, + 358050989, + 739865461, + 729474664, + 687499309, + 83883873, + 619888911, + 63919509, + 89580931, + 986969515, + 880180653, + 782124246, + 772211624, + 926728556, + 750498195, + 960907109, + 468747481, + 582459775, + 194419538, + 593745981, + 107572772, + 453139383, + 858102731, + 73196554, + 642796804, + 739325068, + 736678254, + 424960581, + 80889136, + 943870697, + 117909597, + 964629010, + 540697635, + 854314233, + 136923569, + 923459171, + 964763093, + 139833097, + 808367725, + 824353455, + 188538504, + 507976604, + 887012128, + 455119635, + 284572309, + 583753838, + 378567908, + 40274501, + 271766003, + 709663162, + 350727677, + 415386190, + 456743571, + 367387199, + 80759919, + 259383170, + 547971560, + 325695832, + 428876929, + 722090305, + 492455680, + 369959056, + 663461364, + 180943918, + 927920824, + 958017640, + 57607853, + 569509347, + 116227148, + 579311918, + 864362565, + 369474601, + 615265190, + 10288847, + 251052525, + 876303943, + 193318381, + 393265834, + 780360005, + 854401549, + 889920065, + 814928908, + 892193817, + 935735418, + 878590351, + 746315093, + 664023130, + 929215657, + 712351016, + 139546212, + 205397901, + 458050712, + 724796747, + 9881699, + 36003408, + 517835809, + 381185336, + 436786129, + 533180198, + 542553241, + 471298520, + 848299852, + 941739321, + 115719311, + 914530382, + 795361160, + 988057911, + 530273205, + 511801399, + 938922843, + 716481221, + 896904800, + 542110113, + 400475008, + 772598967, + 962724510, + 778504679, + 895860878, + 715570724, + 657062446, + 557913851, + 332375012, + 710161345, + 437115597, + 778865076, + 891746056, + 301495540, + 968423949, + 982231830, + 509654458, + 420687400, + 520397609, + 592358099, + 345820764, + 883737198, + 684728911, + 196012538, + 929423939, + 266041472, + 203595711, + 303278580, + 536587286, + 186641062, + 689276880, + 711843897, + 69385283, + 786573587, + 151243040, + 940899730, + 154270385, + 507704474, + 655133128, + 546175456, + 790601309, + 484502229, + 342591236, + 115725530, + 675141648, + 933513489, + 195412461, + 33284616, + 559571005, + 330088016, + 681807694, + 215489036, + 276630185, + 318633981, + 473747201, + 5890801, + 367430025, + 990203628, + 482638487, + 880277518, + 757334763, + 835918336, + 463648647, + 573354787, + 310731880, + 542362672, + 609456683, + 624315036, + 30367523, + 561258876, + 976008579, + 451264498, + 637525413, + 654094145, + 859258865, + 330674929, + 949234116, + 911831688, + 396631776, + 305845421, + 875418685, + 660443533, + 170079267, + 197271500, + 896952110, + 218035953, + 373722107, + 176882676, + 179875131, + 792713209, + 907300979, + 351836111, + 665322090, + 426080727, + 557077245, + 122952213, + 834475237, + 630623172, + 188734328, + 35610417, + 283155016, + 649073326, + 135972305, + 202028472, + 528968016, + 318104437, + 779481509, + 34235204, + 500529349, + 385362030, + 928509185, + 184816722, + 476677263, + 921949041, + 658523635, + 439872785, + 645597630, + 210965006, + 937870322, + 283047652, + 334222466, + 15757041, + 744118288, + 377465833, + 12445159, + 58467670, + 972894210, + 548857504, + 451306700, + 216926386, + 473106473, + 121624855, + 520660155, + 232353639, + 300385241, + 818452051, + 721507323, + 257346264, + 933631541, + 437734302, + 433006708, + 115722054, + 309992116, + 683901974, + 530969488, + 575938556, + 71796861, + 432986593, + 133094722, + 975020293, + 666387762, + 221730377, + 799402032, + 438180688, + 310390850, + 244770169, + 371527436, + 444463680, + 912982892, + 670785103, + 65732576, + 990656124, + 659263839, + 58192336, + 247116856, + 944799334, + 58685830, + 461556911, + 809867551, + 736153959, + 941822068, + 196906842, + 398447758, + 146111551, + 681271638, + 711745479, + 903672505, + 612893310, + 893406661, + 442568961, + 868135642, + 204264014, + 270742220, + 693535504, + 272463798, + 419541703, + 990125512, + 47649036, + 995664098, + 424885982, + 126875588, + 102094765, + 485836019, + 684175303, + 204043001, + 653456205, + 248596608, + 451351765, + 79730793, + 761383720, + 309108407, + 989012460, + 188000877, + 772836066, + 45027618, + 68760502, + 757395029, + 46885137, + 437613817, + 336367813, + 813885235, + 901206600, + 886136046, + 229779095, + 891209406, + 204971276, + 136003383, + 113707337, + 367269602, + 56234599, + 428472518, + 481084472, + 340172985, + 931208691, + 795779068, + 859420339, + 122621829, + 703661822, + 234375734, + 799563149, + 833391187, + 567767346, + 20891410, + 533372525, + 165931429, + 960668568, + 488410580, + 758431447, + 374747576, + 299825383, + 560616134, + 381575079, + 371450078, + 960444484, + 318488581, + 126541428, + 388556068, + 902565104, + 708149762, + 602082201, + 668915994, + 184030685, + 607343436, + 588063337, + 278810564, + 570227758, + 203403527, + 663861439, + 204924938, + 364449939, + 514403442, + 367144138, + 434299640, + 971931913, + 737842781, + 107971338, + 462669375, + 946145057, + 543401997, + 543657975, + 726106279, + 672368443, + 250340852, + 123303840, + 369581598, + 621165906, + 845401109, + 509261301, + 525379199, + 349790107, + 473201407, + 588311524, + 556034306, + 278655301, + 124368382, + 605176024, + 509218708, + 101147878, + 515068372, + 147246394, + 371116300, + 843912590, + 752657612, + 778569830, + 817957199, + 979453570, + 465411058, + 213807931, + 487681542, + 304816351, + 595871843, + 378417567, + 821739500, + 436357133, + 332040925, + 699082862, + 723101268, + 357818742, + 385027562, + 72448155, + 9426366, + 53449665, + 377338294, + 983906464, + 900128180, + 665928022, + 449572779, + 122009240, + 362529297, + 756596544, + 475888523, + 141972648, + 259820516, + 447433920, + 99879154, + 788710288, + 875698851, + 745695174, + 48899240, + 20189679, + 605540793, + 132615570, + 430511160, + 363742760, + 998270835, + 140199943, + 588168152, + 826739812, + 562511712, + 485204670, + 624524396, + 502472205, + 557134465, + 190451554, + 889046148, + 792943058, + 624804443, + 967528804, + 31491341, + 540156648, + 823581440, + 532008436, + 840033593, + 745764517, + 832299653, + 76079889, + 702740912, + 226594493, + 536192981, + 706575619, + 608206918, + 216668130, + 506786228, + 997880007, + 438376534, + 742050043, + 148943874, + 264888049, + 601719026, + 268447298, + 933806462, + 998123340, + 808283301, + 331836330, + 222421613, + 913500248, + 170019784, + 687155346, + 778733630, + 97940580, + 517088522, + 190242075, + 887682906, + 747710093, + 499042930, + 745041228, + 885044095, + 111822895, + 456592942, + 858849654, + 821323179, + 519900669, + 196055786, + 92576367, + 687135986, + 177719954, + 430330440, + 141348772, + 114567453, + 518703000, + 54540544, + 152125693, + 82548652, + 35697320, + 132459448, + 595227510, + 503568801, + 907755, + 939470459, + 742360673, + 804854641, + 250892542, + 257764185, + 988638727, + 305560289, + 830750018, + 267997696, + 480470986, + 816447015, + 35613210, + 973655637, + 262829702, + 680757480, + 970823635, + 486587761, + 21146520, + 118649308, + 99749580, + 259699796, + 90679265, + 291503336, + 15469292, + 745348150, + 982044677, + 1177114, + 64484920, + 959690296, + 928130942, + 421395413, + 931730894, + 677520010, + 685550958, + 125092725, + 950249646, + 380302096, + 79533380, + 599098826, + 178350661, + 924822628, + 177408891, + 544799990, + 595540777, + 491914245, + 674571438, + 635853884, + 955868785, + 980759056, + 803184353, + 515510975, + 758508810, + 338169920, + 272293457, + 1544045, + 219251485, + 604376101, + 865324164, + 659828884, + 889483907, + 742772053, + 986149420, + 532204187, + 66164191, + 712175026, + 248054315, + 846579805, + 79137520, + 145656303, + 454769853, + 66760724, + 350810002, + 602616804, + 874720011, + 843459401, + 500102309, + 621818043, + 671679008, + 435778088, + 974184418, + 537710360, + 397806782, + 601295491, + 406823846, + 102123720, + 874137648, + 964315143, + 425878915, + 380601196, + 757014150, + 468062964, + 449809805, + 61475284, + 437151921, + 892333200, + 295853524, + 755784950, + 473502580, + 582447599, + 178527685, + 621225413, + 909699458, + 982036677, + 851382779, + 608001085, + 986290945, + 147654185, + 982722044, + 615506010, + 468228796, + 110852254, + 51576746, + 469871799, + 691423098, + 790177557, + 469584804, + 450787906, + 291737697, + 150723020, + 899374535, + 131539979, + 123670081, + 682224816, + 254438757, + 811637070, + 355446783, + 733924224, + 2310157, + 662000513, + 584713932, + 107049950, + 804894839, + 953102208, + 539143966, + 614823394, + 753356414, + 388564083, + 491029560, + 314942459, + 836879766, + 234519757, + 822674687, + 676750325, + 451393208, + 559789790, + 226696490, + 156859937, + 61268552, + 665437415, + 217324070, + 382844115, + 719644950, + 863935623, + 832174860, + 66265682, + 408913511, + 301624803, + 108698918, + 796408132, + 555773377, + 498877490, + 283746741, + 176624017, + 17317757, + 337157761, + 674230233, + 255924396, + 85037055, + 764462217, + 364221237, + 700756109, + 317029786, + 804325112, + 382428615, + 543678781, + 628212109, + 172279690, + 616412781, + 184740260, + 445454218, + 35748665, + 308373504, + 403806371, + 910772887, + 508289327, + 948315401, + 614407265, + 442443691, + 602745783, + 718564968, + 983511598, + 576086311, + 245665947, + 948595855, + 888629378, + 736701290, + 483104740, + 540699597, + 131022426, + 909681416, + 106257394, + 7507747, + 883529380, + 286254270, + 862316551, + 810144884, + 817312181, + 953535949, + 214848160, + 174474070, + 349394021, + 188614549, + 199324084, + 968395396, + 363748716, + 814272093, + 426447544, + 461185348, + 392279401, + 525341782, + 708597489, + 512289730, + 874064448, + 198576013, + 551070237, + 327980630, + 369253736, + 494732228, + 763006062, + 655231210, + 766990531, + 624407768, + 260087797, + 149428995, + 442793232, + 830096897, + 453224997, + 75979337, + 825169843, + 52572231, + 189526942, + 32248548, + 605044421, + 163746587, + 250276278, + 750637380, + 30050616, + 449928117, + 695446487, + 960640988, + 400470825, + 996049280, + 719355502, + 332729485, + 977345417, + 541831822, + 227456297, + 97872329, + 296082599, + 70911513, + 242531336, + 899255100, + 299665544, + 123152539, + 800780041, + 300499151, + 17234694, + 93545057, + 633951216, + 841615832, + 635428601, + 359133739, + 421571058, + 310398552, + 723044270, + 170045986, + 761472497, + 680837441, + 843623585, + 413035879, + 912501955, + 291934777, + 496011478, + 544872418, + 995799807, + 916513660, + 689643591, + 974460670, + 711978457, + 784288472, + 17520541, + 602259454, + 996784306, + 126554430, + 495475184, + 546386102, + 918184064, + 935243398, + 746585929, + 605860071, + 218346665, + 111093999, + 104928935, + 726464760, + 295795629, + 351894703, + 941236363, + 626689993, + 144232765, + 232425296, + 146929936, + 927322090, + 483251745, + 960669780, + 737704027, + 701495845, + 312475057, + 1615781, + 966282581, + 256638242, + 475057140, + 507374803, + 840142422, + 968105862, + 663868801, + 745882387, + 606275217, + 559958078, + 96984052, + 57142272, + 815702652, + 40182356, + 994718218, + 779643195, + 365351960, + 743400523, + 194215994, + 138294111, + 637952740, + 951594365, + 534604750, + 552643304, + 739114338, + 953857779, + 288801960, + 658487189, + 334144414, + 571355966, + 280361034, + 64693972, + 90548086, + 955624619, + 387515384, + 357584602, + 523815377, + 876577485, + 684941544, + 194853520, + 519636506, + 737645295, + 349387639, + 125932529, + 246699010, + 237641122, + 649975687, + 511421175, + 328139546, + 56178882, + 659980645, + 962704899, + 443272199, + 846861677, + 141693182, + 796615676, + 253461330, + 62162780, + 396032488, + 615736785, + 268053776, + 654970531, + 54534761, + 180999714, + 520446347, + 427954409, + 331431219, + 711641493, + 603072311, + 149107918, + 979334989, + 705115334, + 530612748, + 88143785, + 28843252, + 792888842, + 137589101, + 623787781, + 375477319, + 221209197, + 267341032, + 667950012, + 611625448, + 67885028, + 339195132, + 687261245, + 1599387, + 659374924, + 827645797, + 940881963, + 654819982, + 403024857, + 650924657, + 777222728, + 394361903, + 491267974, + 152961708, + 502304869, + 14387873, + 111690445, + 625069964, + 950849925, + 616223560, + 746312872, + 327605933, + 48211900, + 149407121, + 598665792, + 319636868, + 417858298, + 143800720, + 437245342, + 326508948, + 685265451, + 88935845, + 856740257, + 633517489, + 138494265, + 562284320, + 496281201, + 903192654, + 469464658, + 529721006, + 899977730, + 495530646, + 751799467, + 961640740, + 889483112, + 169705660, + 529072383, + 437476570, + 65110952, + 736887177, + 336872129, + 223229677, + 950220161, + 567781903, + 108876178, + 801907681, + 189860094, + 93820508, + 11261840, + 333924624, + 88853935, + 187595603, + 358401350, + 348342871, + 493375571, + 730688088, + 111408861, + 220493930, + 930821006, + 352551214, + 769173970, + 363356766, + 949293492, + 663290646, + 430434241, + 934442424, + 516018724, + 718334738, + 16080964, + 552545294, + 586648411, + 35369517, + 45955824, + 546503811, + 178095178, + 53518691, + 270289508, + 405036189, + 275699776, + 166491856, + 798071196, + 656778448, + 362953862, + 43616866, + 71709781, + 412708908, + 638948052, + 331237108, + 383432163, + 286023412, + 133963484, + 469796059, + 511908793, + 946537192, + 900780057, + 595888679, + 416159579, + 119543155, + 177162293, + 867265305, + 645171813, + 946316992, + 909059283, + 914814032, + 743216292, + 316736819, + 159355148, + 663508686, + 783030256, + 946899545, + 821213414, + 420267383, + 393470923, + 280888559, + 990871878, + 241350123, + 311665373, + 243345662, + 116137987, + 749380753, + 945377675, + 173854494, + 634448983, + 847664974, + 863686262, + 748649297, + 712073281, + 969066110, + 17656665, + 718746022, + 686700678, + 84223914, + 875149189, + 357691471, + 742860807, + 717165597, + 965221004, + 308788878, + 836628298, + 872063664, + 326622608, + 713991127, + 467097591, + 389244605, + 576329451, + 384984457, + 627058696, + 282044112, + 358348316, + 119903774, + 678076172, + 875892281, + 292988619, + 471145855, + 874635784, + 690831021, + 536011185, + 61842282, + 55984841, + 255313910, + 21633367, + 294610215, + 935221413, + 498238262, + 585405783, + 237765412, + 899986986, + 695876464, + 415392126, + 273430946, + 53773510, + 26149799, + 650082571, + 927078726, + 19228640, + 451381423, + 560289483, + 940529082, + 428501190, + 340315082, + 507923841, + 498032659, + 836050854, + 815920962, + 571059817, + 424987106, + 185547053, + 381849835, + 570526863, + 180955112, + 850806883, + 845442115, + 689614330, + 195444339, + 307495168, + 226230219, + 879041419, + 436892018, + 629323820, + 429571247, + 2005431, + 623088843, + 440468740, + 973852281, + 765827108, + 696926861, + 432442461, + 99227490, + 677254696, + 977152834, + 254338962, + 749229, + 50141898, + 601955169, + 348035003, + 907927559, + 842497506, + 45669545, + 403972998, + 382345180, + 862320111, + 71458826, + 499357965, + 368848352, + 383206665, + 400750628, + 904964744, + 458211660, + 35208087, + 41514642, + 806921399, + 956918911, + 74517698, + 775151423, + 195708998, + 464305048, + 586319253, + 695990456, + 272191302, + 934759869, + 838841552, + 886860995, + 953088139, + 981036412, + 643019348, + 644187430, + 475176369, + 709522978, + 435562650, + 393905129, + 115301629, + 42461115, + 995806369, + 393742457, + 233957003, + 634294668, + 671256724, + 581855273, + 197487355, + 378455300, + 268445185, + 612965455, + 601983783, + 250847145, + 407427879, + 47661763, + 807203944, + 187607103, + 133019848, + 322902794, + 687613475, + 781621001, + 264447509, + 679595511, + 557202808, + 725016213, + 421550471, + 46086906, + 973832923, + 131872133, + 48262013, + 81154059, + 931388246, + 2488276, + 681210857, + 707861157, + 789428928, + 746159608, + 685680822, + 267915538, + 404486747, + 338854071, + 613194767, + 876993837, + 987763822, + 149341488, + 940652119, + 536766406, + 252688994, + 638579902, + 359114209, + 77828797, + 543814004, + 198429455, + 965602927, + 866585787, + 535373446, + 85523636, + 667471333, + 803469703, + 357999071, + 465318218, + 620582637, + 599432336, + 129743687, + 960762026, + 856207448, + 32984659, + 176281546, + 779461689, + 768350350, + 50367821, + 89564945, + 366021990, + 164097647, + 459402427, + 139250993, + 593196199, + 965957450, + 751415505, + 535381840, + 419969016, + 194880719, + 576035025, + 167649765, + 67748459, + 779983033, + 128373536, + 570744043, + 549446195, + 143228318, + 541980313, + 464333185, + 243137620, + 110154564, + 179875796, + 164202130, + 97802556, + 823758519, + 432651005, + 196302407, + 66565107, + 196458440, + 3201610, + 446658, + 535286357, + 746070465, + 10814587, + 108414447, + 722166439, + 970021076, + 253809874, + 310574235, + 5822878, + 600347458, + 554357879, + 834416065, + 935189980, + 963486683, + 485321472, + 98042754, + 651700002, + 453339055, + 347938737, + 173925671, + 468474463, + 809232005, + 191643914, + 566399626, + 162758840, + 670276583, + 827265964, + 174004048, + 433062554, + 808524482, + 222513836, + 532167290, + 360564496, + 769928691, + 797620197, + 824155065, + 388777, + 71007442, + 506883838, + 563291030, + 352031059, + 824803229, + 539282210, + 193164515, + 189512352, + 837262768, + 210246031, + 17678486, + 519941500, + 811001622, + 142452300, + 248610074, + 174527128, + 217949010, + 796613211, + 887308530, + 377110042, + 241206706, + 273387813, + 838818424, + 657687027, + 224802816, + 24896262, + 852620075, + 939196582, + 285549434, + 890029624, + 53042820, + 779957626, + 101248220, + 732155084, + 896906221, + 695790986, + 665447874, + 572694482, + 480813741, + 784242740, + 301161205, + 300810236, + 28243374, + 111453978, + 445469049, + 336530590, + 855976067, + 895346461, + 288524683, + 661445371, + 276611686, + 687649606, + 923840952, + 6698953, + 96276914, + 197355023, + 209849241, + 330677273, + 856768813, + 362695948, + 893284970, + 444728750, + 726145181, + 244881883, + 281009951, + 529018553, + 935827323, + 363059764, + 825464094, + 82061511, + 70054430, + 811640504, + 640852654, + 964360175, + 626407045, + 75449007, + 958103008, + 114716958, + 867395283, + 325845736, + 191897746, + 498556300, + 747992850, + 670180491, + 511570331, + 167025985, + 4385650, + 281023033, + 78938448, + 732289270, + 994676831, + 460178875, + 585075749, + 659640600, + 473123211, + 384011986, + 494854497, + 259455661, + 70597317, + 458415606, + 863102639, + 178635756, + 134953631, + 924014673, + 715871521, + 429243165, + 693546101, + 146417511, + 837923242, + 719275835, + 216959381, + 216732424, + 707086543, + 262559105, + 752130810, + 303886466, + 529916472, + 938437581, + 165746988, + 576115151, + 193914653, + 217564832, + 547535259, + 169776360, + 401674725, + 422530721, + 180491859, + 938144888, + 40035954, + 279832950, + 662235723, + 716073403, + 359986749, + 859131963, + 121745326, + 461257090, + 609718101, + 414827292, + 86103216, + 2681433, + 149307394, + 806800296, + 993341736, + 938747282, + 641504171, + 757851639, + 473947441, + 685471928, + 235973887, + 277425662, + 514714668, + 653746228, + 505796036, + 170522441, + 748720104, + 214176378, + 862963405, + 253934875, + 372259462, + 496271067, + 149208016, + 255990068, + 35620838, + 408441115, + 304505441, + 862918157, + 433751626, + 261059379, + 215878209, + 669305764, + 763825600, + 529695460, + 174476643, + 143751394, + 912127531, + 722647815, + 649758036, + 653654754, + 140650120, + 555947591, + 427106504, + 838007690, + 377297397, + 284327015, + 722050673, + 283098430, + 854243356, + 488305417, + 74461752, + 15010803, + 725149420, + 614445485, + 959550012, + 76873762, + 742883454, + 43823524, + 809713026, + 234643734, + 69028747, + 26033435, + 285046044, + 400500155, + 456863249, + 316304521, + 523267711, + 711962542, + 996479151, + 947249260, + 2216268, + 111570039, + 906586131, + 876437542, + 84906249, + 432807043, + 846820701, + 515498573, + 952787021, + 63638955, + 714526015, + 863238254, + 155796602, + 16522862, + 602024414, + 6332892, + 219382169, + 924639934, + 238682351, + 950453473, + 535559040, + 52429990, + 199399202, + 482815644, + 697929640, + 117656527, + 133150630, + 770878826, + 787131145, + 576732310, + 135378759, + 588414052, + 752207234, + 50392475, + 767022377, + 594001584, + 997585870, + 346599472, + 610548899, + 983784705, + 343144743, + 492481682, + 758491243, + 778390804, + 262456915, + 855390828, + 88043154, + 592118165, + 276571930, + 824870295, + 972054120, + 682425755, + 570866261, + 239094726, + 886034404, + 593868826, + 885582334, + 934465191, + 672727839, + 600989338, + 491151662, + 238242567, + 821520239, + 705578188, + 474024065, + 253038307, + 286323487, + 215983593, + 877677357, + 49295443, + 119657665, + 682163618, + 377923045, + 677334500, + 721064768, + 135248077, + 326163360, + 788156832, + 319761500, + 796904155, + 143353188, + 603461863, + 409152673, + 736490702, + 973555810, + 753649814, + 43547228, + 170430754, + 598836839, + 670437507, + 250924187, + 293012218, + 609078557, + 352479657, + 386028718, + 411826614, + 696411471, + 269150518, + 712451467, + 987828344, + 516659756, + 420115960, + 584779015, + 687929523, + 497758719, + 215033438, + 654319988, + 679851583, + 939875904, + 306599669, + 775585536, + 92505780, + 584977696, + 668331137, + 248952992, + 531604760, + 35985106, + 123965089, + 9470483, + 482485115, + 561383165, + 573724953, + 92681107, + 545913429, + 66804044, + 315875511, + 700968797, + 829397608, + 549648691, + 323356577, + 941649790, + 371983855, + 111122625, + 570714476, + 44331211, + 54554824, + 679996420, + 634520679, + 672318168, + 741719323, + 190954241, + 915024030, + 951948173, + 109417503, + 64965207, + 725050789, + 860977465, + 38444411, + 327028150, + 682829078, + 85029570, + 356109546, + 662412516, + 546218886, + 495527633, + 159425444, + 396824883, + 787336129, + 837697965, + 228290379, + 444542543, + 63733047, + 614025845, + 738964111, + 81474850, + 957654637, + 630111012, + 248201054, + 484882594, + 912847904, + 188791526, + 995403366, + 100481323, + 173468099, + 564385354, + 421106755, + 288796411, + 52197514, + 583899222, + 963013876, + 976506220, + 300338080, + 606268824, + 172169165, + 670422827, + 325918558, + 289245738, + 461929082, + 975983339, + 929240235, + 651476200, + 868260105, + 274781169, + 119251766, + 971397026, + 173902595, + 495699857, + 552992311, + 674064163, + 815212002, + 812927258, + 785977279, + 82448657, + 275482542, + 139194238, + 273897708, + 220177990, + 903120102, + 545055358, + 786863883, + 618417053, + 418900585, + 979721531, + 626913285, + 58050742, + 806349324, + 985735515, + 439829172, + 485513827, + 300930458, + 444166664, + 954433827, + 178599027, + 596160530, + 397893721, + 907701552, + 826671380, + 165906512, + 955862217, + 881910640, + 865128420, + 572795532, + 565103470, + 509704708, + 212909438, + 864117140, + 963886601, + 673381742, + 317764852, + 451412512, + 489623601, + 801502227, + 309719431, + 267295633, + 385583903, + 531563988, + 835819410, + 795829143, + 960071238, + 575655498, + 508730252, + 526663767, + 789443226, + 221193743, + 902525043, + 195640753, + 125712797, + 990467904, + 507683374, + 850882115, + 964995216, + 550324955, + 248286543, + 779951988, + 220389794, + 767268915, + 611625991, + 772918214, + 650068458, + 406270936, + 602323631, + 855189994, + 693997687, + 50673117, + 834282228, + 8753233, + 283100408, + 78029415, + 898128398, + 304633674, + 358473901, + 57671675, + 749067650, + 910397244, + 448649256, + 525099093, + 139507871, + 923022332, + 529483924, + 67074431, + 130802898, + 65349084, + 302670392, + 327039423, + 978233221, + 147007938, + 817929485, + 516899116, + 728003903, + 300930476, + 216333745, + 864173842, + 205616293, + 139125181, + 710710067, + 838627828, + 516540334, + 503517745, + 372343184, + 172057950, + 149035861, + 587931537, + 164109657, + 242511342, + 412462730, + 86622825, + 283744303, + 692370883, + 289422107, + 613269068, + 514398255, + 155067362, + 604172565, + 917274572, + 818422869, + 993423004, + 763699999, + 757748318, + 101029667, + 856217183, + 213630193, + 469392143, + 571518168, + 265022416, + 900028283, + 732078412, + 70567897, + 194271437, + 897569702, + 537905845, + 129538105, + 363834821, + 776695001, + 359440608, + 179731329, + 677420254, + 45235722, + 471542153, + 395771141, + 847744685, + 162347048, + 903629513, + 644645020, + 622104177, + 774417672, + 396141822, + 610075265, + 939968385, + 121637040, + 833545718, + 919029984, + 77610459, + 964490234, + 721924959, + 32319928, + 120229011, + 490902809, + 35517493, + 640177779, + 15121853, + 954000294, + 308599485, + 406475164, + 74840343, + 870300643, + 160422124, + 186036411, + 965436221, + 697753632, + 810078601, + 302595334, + 352013999, + 971605423, + 338971933, + 950021383, + 74876201, + 959943537, + 743915562, + 793390837, + 648922537, + 551448333, + 37088447, + 113499323, + 668322968, + 426594033, + 387066623, + 180772673, + 475630157, + 338238578, + 692314349, + 845103411, + 375885404, + 250092144, + 566026469, + 341773124, + 869501419, + 630825638, + 24110724, + 615982710, + 540370913, + 598589888, + 682972503, + 403228289, + 826871596, + 265852877, + 330266945, + 893639800, + 835257865, + 304282458, + 185741033, + 38504583, + 750995036, + 687124971, + 328210072, + 234899376, + 956070838, + 582697103, + 587748946, + 127391936, + 682869259, + 19715392, + 373409659, + 586664469, + 905797514, + 401841322, + 56334065, + 938861306, + 768419381, + 934563527, + 611490014, + 506837974, + 451529935, + 50300541, + 990993227, + 768793350, + 532157092, + 196197824, + 352337641, + 423946703, + 416925199, + 585833590, + 368833582, + 881713229, + 292992520, + 662877758, + 59080594, + 25746956, + 845002585, + 924958928, + 317144121, + 176969397, + 247228579, + 173168645, + 791111055, + 189408174, + 661765805, + 105345267, + 410741195, + 545984664, + 256921855, + 655544555, + 295381500, + 742983089, + 336911528, + 154187345, + 912819488, + 349368157, + 97690182, + 96285936, + 74464974, + 145489168, + 260159897, + 690891866, + 463940099, + 950826241, + 804035758, + 789185726, + 583067834, + 511545513, + 173198802, + 886685794, + 681522156, + 213770927, + 193877128, + 647528509, + 255150220, + 421034243, + 970894556, + 461104050, + 854672675, + 373231146, + 350908572, + 771058363, + 551682333, + 277530860, + 705279888, + 952861901, + 1211247, + 470239554, + 277858274, + 943974561, + 914261766, + 931077601, + 927309949, + 849511488, + 207458701, + 776004679, + 257440861, + 962418285, + 907641543, + 245571629, + 135753935, + 529259158, + 421663170, + 71919489, + 614027682, + 348106639, + 630803740, + 432913598, + 160097566, + 219457023, + 776508056, + 291697076, + 259424745, + 768623679, + 216655972, + 708859358, + 530682078, + 987316804, + 404289670, + 595771990, + 273249854, + 149508777, + 71203155, + 713398475, + 456081375, + 303563851, + 568499333, + 512672065, + 126334413, + 526460970, + 107472442, + 282244778, + 286699057, + 493932218, + 638782210, + 581816903, + 85489105, + 586774856, + 61015758, + 175092101, + 610242223, + 747420776, + 433804131, + 704111182, + 877148573, + 828413359, + 878855602, + 236053006, + 528097269, + 549830212, + 40446500, + 968171859, + 520288333, + 364535660, + 670637272, + 942580850, + 921544501, + 933220856, + 81463433, + 43185921, + 598808143, + 991247398, + 675616963, + 121981235, + 544714909, + 139811264, + 41023675, + 761625127, + 68785290, + 807462665, + 197550272, + 912354198, + 336234010, + 417973084, + 235963409, + 218269206, + 482510992, + 463526224, + 566497699, + 760142121, + 354976953, + 310435389, + 426613866, + 263680237, + 593937351, + 651363402, + 262293544, + 630005736, + 786703585, + 106299577, + 795230207, + 194539670, + 685159617, + 401609024, + 181881831, + 352555717, + 922716031, + 570858267, + 806242878, + 812129441, + 222107408, + 360697000, + 558054193, + 21436340, + 948919304, + 697060931, + 989922595, + 681676498, + 348869101, + 441978495, + 334004427, + 520438573, + 785080058, + 426714772, + 998594121, + 801715878, + 972879838, + 499765065, + 532975907, + 195758070, + 524827730, + 54312099, + 916014577, + 283165590, + 632632405, + 387395759, + 324287623, + 54824509, + 573536864, + 57353798, + 209875643, + 426084184, + 925087136, + 42692571, + 6650096, + 306463962, + 34446374, + 767565696, + 178681459, + 333265872, + 91522023, + 216598488, + 472146999, + 582102230, + 598610788, + 182048444, + 508068765, + 145737535, + 704528729, + 870495174, + 934776368, + 329614827, + 23012401, + 965551426, + 897220575, + 374105702, + 320263014, + 274295201, + 230639616, + 188839359, + 890154924, + 313160252, + 636826981, + 131228866, + 885295815, + 664327081, + 550235625, + 375648927, + 815746154, + 464965031, + 429421500, + 539186954, + 439885812, + 511454366, + 504433086, + 555198486, + 755623548, + 393278516, + 759572176, + 607833230, + 513895677, + 877521004, + 681219745, + 343635221, + 386343738, + 977102889, + 325262577, + 17993467, + 606414710, + 839532889, + 911345769, + 71756176, + 214775276, + 730531370, + 54906386, + 630000297, + 618227693, + 813516432, + 363456354, + 308104732, + 321109476, + 509652459, + 73006029, + 663643709, + 258951009, + 339882378, + 773251714, + 21449291, + 628476369, + 273267766, + 580747328, + 332830190, + 94694005, + 42625129, + 695810238, + 982658846, + 452169270, + 771035190, + 80348571, + 970848545, + 943937097, + 172033751, + 404147378, + 598904764, + 700531095, + 498868754, + 990973349, + 920066862, + 697683496, + 684534059, + 423812465, + 902806807, + 119737717, + 317774775, + 806637443, + 278977696, + 656114106, + 238512840, + 972942001, + 207219752, + 334304093, + 455306696, + 610295863, + 727306850, + 808936321, + 570495328, + 673996006, + 461035961, + 35419530, + 666694411, + 8915842, + 247010638, + 462682664, + 185861822, + 518878490, + 561311016, + 677364809, + 602499003, + 267734192, + 295464341, + 932361458, + 432406011, + 152050684, + 810656616, + 906665410, + 373706812, + 706021905, + 472200363, + 551936608, + 738440243, + 718917302, + 879742445, + 145664089, + 302646953, + 678778845, + 669414652, + 128470741, + 810504842, + 836406042, + 275671104, + 677222252, + 476771535, + 75605489, + 456514787, + 659976885, + 897186774, + 159830068, + 252165668, + 661463448, + 833738531, + 748408836, + 967689765, + 160996808, + 258894979, + 134902748, + 141406993, + 999549179, + 295680690, + 37364322, + 461802718, + 613307824, + 25915497, + 807742944, + 969000624, + 598802119, + 955333451, + 401378382, + 996925028, + 625023668, + 63687356, + 143548413, + 123022123, + 939817474, + 120579160, + 995315922, + 825854458, + 40040733, + 177297158, + 359523621, + 930324004, + 311243667, + 273253182, + 500240862, + 415359577, + 343957461, + 229955628, + 741653321, + 14852651, + 966344628, + 271824675, + 469693809, + 5149787, + 364877273, + 301276125, + 333402205, + 193756479, + 419268118, + 831962580, + 306005446, + 623331456, + 833451008, + 999753943, + 783636348, + 502851451, + 599279850, + 157673463, + 841647244, + 390116362, + 597113055, + 820433541, + 577626231, + 478294830, + 862025047, + 880576630, + 712888600, + 956629282, + 560666556, + 488399244, + 630842028, + 416202879, + 514763102, + 346993185, + 860569085, + 15159589, + 251576652, + 512544842, + 91277033, + 452746644, + 144055838, + 796549630, + 792218317, + 921367904, + 22283631, + 83511829, + 460262265, + 92890194, + 407751621, + 926248355, + 656973959, + 224305582, + 708462908, + 54249591, + 141249158, + 542920927, + 372844671, + 726343485, + 120182961, + 253579215, + 835188894, + 804982035, + 852554602, + 297387066, + 431489385, + 940123946, + 77480950, + 150153886, + 422171524, + 860915944, + 326571987, + 944674406, + 538880698, + 843894316, + 839228755, + 179771471, + 296114554, + 790843952, + 192161924, + 31965220, + 549902800, + 960419534, + 631810756, + 150561352, + 932490722, + 19333608, + 542801445, + 567997712, + 453003730, + 637026843, + 941564233, + 937717388, + 939985904, + 489597812, + 205505017, + 102309919, + 27295311, + 273362, + 272563062, + 484149234, + 818311710, + 223959504, + 809354207, + 804119995, + 246172532, + 265869025, + 99133031, + 374921714, + 163207745, + 489591905, + 810750399, + 607156417, + 849954472, + 973654990, + 948819596, + 625398874, + 662690282, + 402685107, + 235415646, + 418858014, + 138180681, + 936895810, + 570176381, + 26083764, + 203925185, + 538110543, + 876355868, + 883587553, + 134908497, + 719379389, + 667022154, + 486425006, + 335408331, + 788308144, + 894059036, + 51527537, + 498602301, + 528500128, + 57744710, + 942133279, + 647808629, + 695337403, + 935506697, + 948444733, + 608644392, + 251504617, + 657959214, + 185749779, + 478559906, + 578700841, + 528393427, + 448473148, + 438443714, + 602311556, + 322057259, + 102347929, + 708417538, + 349451108, + 254554389, + 468121385, + 759261194, + 412764398, + 96601336, + 420736120, + 403617916, + 401094440, + 102315181, + 796367858, + 623311337, + 896211180, + 625301335, + 502546306, + 130095747, + 317807298, + 94427687, + 186827229, + 413048933, + 32955665, + 737693023, + 331576603, + 52689892, + 229298106, + 961912845, + 885781864, + 736043641, + 738400410, + 236849640, + 562291464, + 935310324, + 239501664, + 804348972, + 652386669, + 963293609, + 356835413, + 388392649, + 634534617, + 472083001, + 196854789, + 858389750, + 550345022, + 351825780, + 304032438, + 682846558, + 906068384, + 724834434, + 78777153, + 632056677, + 165576795, + 484112060, + 147354515, + 109496742, + 687073201, + 359890602, + 556864513, + 280188803, + 56653780, + 446300063, + 104382015, + 237456354, + 541009387, + 713838788, + 559202635, + 263469117, + 789593477, + 2095614, + 423359851, + 950453795, + 762299530, + 140963918, + 32780864, + 679550611, + 352996115, + 635271416, + 58865372, + 418570133, + 406790259, + 775629350, + 13259964, + 474536354, + 175188052, + 298393001, + 639074935, + 886018249, + 261709592, + 433616958, + 552521566, + 87752439, + 514838568, + 444150628, + 969129265, + 887186703, + 660814723, + 395727927, + 495380359, + 281401758, + 787853229, + 685333935, + 5961968, + 157858285, + 970260075, + 792614898, + 798099129, + 394082473, + 124930359, + 224121619, + 167368066, + 59148776, + 258492924, + 828587897, + 474657976, + 805104696, + 489979878, + 625572930, + 661453802, + 458330439, + 747234705, + 909365899, + 426254228, + 191340513, + 358761486, + 622740553, + 42717430, + 13921711, + 169843959, + 182714393, + 955482942, + 119006396, + 716859585, + 988115266, + 667505526, + 886169039, + 296305317, + 981409067, + 101433410, + 811649487, + 609937209, + 414418039, + 680080242, + 350372501, + 638963062, + 195937516, + 493895941, + 370051303, + 994620595, + 582866158, + 67403394, + 773626884, + 238950242, + 87658721, + 788673616, + 262801302, + 753992616, + 186330807, + 429591360, + 586447961, + 448015769, + 820093601, + 871257915, + 867708937, + 416456599, + 115399936, + 922531855, + 887574762, + 63219024, + 267634563, + 184444772, + 219282774, + 883528963, + 306104732, + 79757304, + 723269864, + 297381020, + 120949259, + 941404265, + 203394324, + 860655544, + 346146867, + 496518746, + 58467521, + 66174328, + 997249750, + 782614143, + 816383203, + 38962891, + 158981961, + 461683704, + 604977094, + 243240696, + 27632052, + 905949848, + 180433771, + 118575662, + 712509222, + 668803908, + 356018628, + 908780317, + 415938424, + 894253181, + 522824388, + 80097598, + 889932597, + 203372524, + 188097818, + 758252500, + 454998072, + 373499714, + 835841273, + 744212856, + 533426439, + 66467752, + 193233673, + 27000985, + 632311651, + 789177693, + 486667041, + 623283304, + 20224792, + 625800385, + 292137521, + 992011589, + 516102356, + 540288283, + 349869252, + 444212112, + 942848737, + 451648307, + 801508809, + 23958115, + 562266820, + 218460485, + 892535071, + 68588872, + 516346239, + 814389511, + 363423269, + 857324123, + 872051618, + 514039322, + 714514153, + 982754707, + 256289202, + 537596373, + 698379334, + 661911286, + 943035873, + 551689034, + 840274948, + 777004458, + 686891791, + 12294014, + 25159363, + 149301485, + 181418948, + 780010779, + 240298898, + 113084395, + 119881372, + 444567148, + 837021901, + 19233892, + 146205200, + 117441236, + 502237451, + 78226946, + 227008585, + 657617521, + 963621185, + 598565971, + 942338263, + 827492389, + 331979260, + 491224743, + 381476224, + 701307700, + 685708526, + 43686461, + 869066266, + 659059766, + 225705045, + 766069548, + 595366506, + 436958688, + 726299501, + 484768942, + 392641774, + 88385794, + 121972007, + 809398722, + 166682363, + 533760973, + 136463117, + 686012076, + 78386700, + 499915456, + 65539718, + 98193575, + 288475792, + 157783755, + 123089510, + 352585259, + 566137124, + 471321494, + 915397211, + 723292632, + 742384780, + 100172555, + 2170546, + 789949857, + 231001010, + 883483282, + 147021419, + 129163034, + 955615962, + 387446532, + 275400542, + 439929978, + 498287771, + 18013327, + 99611627, + 653282021, + 191820948, + 443190813, + 905014679, + 312684136, + 691477968, + 683742433, + 544089261, + 240820413, + 858192038, + 117341222, + 769483562, + 774823388, + 713978978, + 545639566, + 1771860, + 21811138, + 938109714, + 560636146, + 89203414, + 124310202, + 107345839, + 472314257, + 963502926, + 427625322, + 85182965, + 158548081, + 274380448, + 587819665, + 481303508, + 388112487, + 898234900, + 673045889, + 172810915, + 228946981, + 375786282, + 903074792, + 170911985, + 172980656, + 87433783, + 710485478, + 483790135, + 702623127, + 625288684, + 546255041, + 736791130, + 118382762, + 456580340, + 365918582, + 904730345, + 660301045, + 619201000, + 729474348, + 420097430, + 217085295, + 850196933, + 813856130, + 830907803, + 736863591, + 979885141, + 173441798, + 624426868, + 545662404, + 660854329, + 175739727, + 491157904, + 169381707, + 82970671, + 365028521, + 366743118, + 842638748, + 264784950, + 523184378, + 974746210, + 326158570, + 569710445, + 755728649, + 337104683, + 227400241, + 150898954, + 295795680, + 355157612, + 385401396, + 111310571, + 912497574, + 452183070, + 903040968, + 217699069, + 526987891, + 806717032, + 931053772, + 248863603, + 682794052, + 171256474, + 378549178, + 615562593, + 809762140, + 805466618, + 141825038, + 526979985, + 338416207, + 360993164, + 318430138, + 66272017, + 2766514, + 999584573, + 307485011, + 853915777, + 786610238, + 951423816, + 41149376, + 455652602, + 598588375, + 36637626, + 33805783, + 286873857, + 991912968, + 249809541, + 940893357, + 419563656, + 453104978, + 629634667, + 73726548, + 689144132, + 3998450, + 987314851, + 9662926, + 91566174, + 974443021, + 251138294, + 896671208, + 829679653, + 85905223, + 790364296, + 124254188, + 738359941, + 68919431, + 295849133, + 612580467, + 141292897, + 148015843, + 77690465, + 856183035, + 647834414, + 378746687, + 446316372, + 521083937, + 111799567, + 231818269, + 772968068, + 89902031, + 702771150, + 795982028, + 721747455, + 194195464, + 707332576, + 554480021, + 209039795, + 394631398, + 878770138, + 381916241, + 499866439, + 125480542, + 802558199, + 76703296, + 98271946, + 588347834, + 231969734, + 158962589, + 388564173, + 693812259, + 172021812, + 362975332, + 187541013, + 462933580, + 896520962, + 223083416, + 673750726, + 767872906, + 235938610, + 284939400, + 968742952, + 862992390, + 863078473, + 771316761, + 90415195, + 700643622, + 194982208, + 471712911, + 127719718, + 387325985, + 109371523, + 57078602, + 495800335, + 450892203, + 65269250, + 601824139, + 981634218, + 510886063, + 122832505, + 183225102, + 330212607, + 480805120, + 644392610, + 912032142, + 996556912, + 206657277, + 687397090, + 158278423, + 693207487, + 223352443, + 507203382, + 854214325, + 100540844, + 782739174, + 302605993, + 340127369, + 938203229, + 670839825, + 443451717, + 829138699, + 259071, + 709583895, + 862050272, + 930741611, + 897273166, + 75348557, + 278248563, + 928270259, + 288247062, + 280968733, + 805342105, + 309665265, + 427246159, + 4289700, + 333239587, + 703297452, + 994589968, + 249506791, + 552727355, + 87251505, + 55599758, + 881733228, + 424056630, + 560526125, + 843870099, + 594057085, + 123566753, + 499728536, + 452326098, + 373616585, + 62833286, + 323731511, + 392520425, + 651302492, + 530391026, + 543037763, + 316036568, + 287761227, + 844675711, + 540947202, + 995114280, + 628645434, + 859758183, + 465224867, + 636030202, + 1539441, + 451491317, + 227645732, + 977024284, + 759619546, + 887551781, + 464547107, + 216822526, + 404841888, + 807658172, + 558543551, + 763924652, + 63368742, + 451222588, + 611067056, + 79540602, + 655033263, + 190443181, + 288792060, + 109838701, + 396903152, + 308162276, + 270040632, + 169578101, + 737074394, + 831780773, + 240135821, + 748388385, + 167134710, + 124064962, + 228498825, + 730392983, + 816226864, + 543878744, + 963384194, + 312536100, + 741071998, + 566621292, + 820609066, + 397815264, + 425175324, + 440811132, + 995865224, + 91678454, + 216227569, + 816004889, + 829346862, + 461100891, + 720403097, + 752741609, + 257261186, + 838934528, + 557669742, + 636588899, + 690688240, + 58809903, + 841926599, + 60418296, + 404377303, + 237087484, + 660556860, + 955232865, + 612999528, + 840103916, + 156360668, + 526373298, + 160659228, + 123318377, + 949239724, + 113341615, + 827014106, + 583009273, + 202083140, + 753956451, + 353813457, + 57595737, + 389930087, + 593790434, + 691756113, + 26630498, + 439977053, + 188394177, + 553812535, + 444789586, + 131422042, + 969035371, + 583201273, + 340878488, + 700666180, + 130789595, + 350828448, + 572366636, + 631159150, + 190433613, + 503048782, + 996551535, + 647647110, + 110879795, + 612564742, + 309859062, + 411994558, + 621321861, + 230578455, + 291249717, + 108024663, + 749181218, + 528028734, + 579667194, + 208520026, + 811710912, + 124030938, + 607506859, + 362418936, + 272726275, + 865058886, + 55555063, + 668738689, + 591363306, + 776113029, + 311918818, + 181004298, + 265645169, + 979953227, + 29142851, + 716379920, + 827603008, + 190220883, + 788025372, + 396731733, + 920209311, + 689912336, + 327584574, + 309071470, + 418687926, + 152079856, + 843816642, + 240250397, + 309806922, + 662548623, + 60869125, + 94867079, + 776922816, + 414863324, + 730990381, + 149896807, + 883511927, + 436077063, + 85710604, + 249531086, + 168200317, + 205196849, + 209846358, + 911819191, + 169821830, + 140879863, + 475783566, + 514693215, + 624120236, + 695661517, + 463147869, + 258489213, + 970384113, + 80592558, + 863185756, + 338505938, + 581081640, + 560234890, + 752068360, + 794523358, + 345585813, + 799888553, + 149712738, + 656066943, + 138607213, + 832146481, + 649289753, + 88131706, + 111498012, + 99092792, + 92153476, + 226618152, + 872827188, + 605299938, + 533288758, + 195124375, + 903617409, + 720441389, + 619921301, + 653087829, + 660384155, + 808472452, + 535093885, + 61743370, + 915598481, + 677953198, + 66708794, + 907598526, + 623010390, + 259769456, + 438109705, + 935980436, + 170690977, + 113311683, + 622077484, + 461341263, + 903452258, + 903826930, + 135166704, + 361994604, + 740321788, + 697224732, + 350080183, + 627266168, + 368807326, + 549284997, + 438268425, + 917175813, + 602660850, + 996366802, + 620550639, + 785128439, + 74574882, + 422882265, + 378646700, + 513869969, + 283937334, + 613939238, + 74065474, + 142948436, + 407366968, + 431648652, + 881294781, + 797191104, + 674591305, + 900878810, + 401130590, + 766864304, + 481897276, + 198217441, + 852136474, + 481178773, + 662399245, + 837059521, + 671171774, + 641898469, + 868847127, + 695988179, + 152971851, + 505204311, + 903862744, + 887208251, + 452303861, + 255501246, + 829599685, + 743646673, + 795763532, + 933986916, + 276961909, + 460311086, + 724342224, + 60155044, + 346446918, + 95818779, + 488116996, + 503258131, + 700308788, + 250198895, + 605871008, + 293394331, + 31788838, + 914273586, + 48992704, + 746276682, + 830494687, + 950994197, + 549651480, + 169209092, + 614357427, + 623217976, + 206909789, + 660294311, + 800761960, + 803595244, + 563212220, + 877414205, + 334824088, + 129612967, + 31319702, + 517277614, + 971450625, + 40549884, + 418302764, + 975921886, + 494110414, + 428501681, + 100458862, + 297970288, + 796975028, + 931840328, + 710854942, + 943725745, + 355498282, + 437876873, + 595898068, + 590738419, + 628468209, + 413713772, + 294104914, + 608617142, + 17330788, + 501590819, + 970269472, + 812135352, + 47996991, + 791325981, + 50813179, + 480143653, + 665919450, + 542089691, + 422259713, + 20469006, + 810631489, + 816177254, + 272800407, + 196065156, + 9864814, + 347187840, + 412773939, + 752665877, + 167342234, + 711837372, + 10372310, + 913919197, + 199000834, + 52010775, + 21149421, + 404997467, + 532338011, + 368067294, + 189821398, + 626822515, + 936094756, + 72456398, + 998090956, + 846860488, + 670190959, + 732966308, + 762177563, + 984326850, + 127068431, + 861398365, + 898026869, + 456728101, + 161028580, + 609993830, + 814329303, + 721015200, + 691288967, + 400622132, + 636913793, + 5418253, + 878347907, + 75256556, + 339631562, + 128047869, + 219939217, + 856722242, + 392341701, + 198573721, + 128296963, + 946968941, + 640177087, + 572642068, + 63010919, + 361497801, + 288897874, + 191300965, + 410933620, + 630686982, + 766283577, + 289111996, + 437001075, + 984351013, + 657759562, + 38076518, + 32386262, + 198655624, + 945199294, + 264818333, + 642138350, + 858301119, + 532791158, + 114552945, + 215469982, + 975998634, + 633206488, + 211990855, + 107059507, + 353654794, + 155786842, + 815948486, + 415376950, + 476463705, + 960592603, + 867756672, + 305946890, + 739448470, + 739530858, + 706232997, + 619705099, + 677677380, + 285712183, + 903068449, + 760852172, + 792383952, + 161195864, + 184276951, + 266531901, + 949155693, + 731257509, + 631310392, + 817272334, + 346860929, + 480940439, + 512365216, + 859283350, + 151116933, + 104391363, + 185703611, + 774436183, + 179987559, + 727207807, + 62375412, + 632745460, + 610592494, + 353952291, + 708143009, + 548785222, + 741529982, + 8126400, + 53457455, + 365889985, + 33220315, + 108885474, + 192072112, + 567479726, + 446156043, + 736307692, + 551945514, + 757136940, + 193701970, + 524017529, + 272770802, + 847563540, + 137893944, + 164772817, + 73311874, + 463184305, + 605561995, + 72460209, + 299477051, + 309359622, + 67660247, + 752632625, + 406350412, + 641578674, + 380601277, + 279381620, + 222136007, + 567401191, + 102775792, + 839912879, + 817307586, + 524336918, + 203710404, + 733260492, + 309216013, + 979709197, + 839340849, + 924511647, + 731218291, + 483077581, + 652732288, + 662441820, + 135562132, + 719477130, + 967508955, + 11081394, + 79140850, + 379680911, + 545517760, + 655357313, + 541191762, + 237786502, + 551052556, + 272953852, + 303775637, + 170764772, + 553341236, + 648308294, + 368813375, + 943813144, + 942749452, + 726434784, + 368486001, + 114342567, + 891309178, + 511066998, + 816861374, + 87881401, + 277168568, + 132347043, + 779102686, + 326733124, + 318240520, + 694561747, + 819143510, + 454555783, + 456963001, + 231010281, + 671456290, + 413680218, + 55004740, + 124299147, + 763765718, + 655623497, + 30513945, + 760016232, + 776035128, + 687033325, + 639705659, + 239878248, + 209222146, + 189347140, + 761781249, + 552031923, + 35143196, + 815872965, + 429074409, + 890259595, + 712309485, + 933780447, + 948030009, + 765830083, + 489377762, + 977210883, + 228169112, + 245726169, + 78289682, + 998239478, + 43225300, + 821924168, + 117078931, + 630627631, + 695649483, + 672114695, + 818700928, + 16605382, + 435583074, + 97567064, + 30905827, + 710450012, + 401194320, + 825686399, + 707599091, + 162068943, + 88240498, + 403348990, + 402717876, + 35577349, + 52282356, + 186402623, + 496401056, + 843877507, + 94657396, + 497655354, + 97535851, + 776779690, + 789429817, + 492947846, + 652496805, + 627858703, + 164622770, + 111093910, + 796445609, + 801664942, + 704403607, + 156835611, + 366332183, + 174390670, + 161540643, + 83571668, + 238365638, + 323406626, + 974883043, + 336159096, + 532893127, + 614079202, + 137859971, + 715910366, + 43709408, + 501887149, + 741713207, + 821882784, + 315964741, + 697600687, + 232799126, + 877210255, + 429470291, + 510677121, + 223583435, + 749593789, + 649686131, + 724585654, + 478878889, + 221702698, + 754240087, + 578353168, + 351094952, + 8947826, + 305636452, + 759739584, + 644093734, + 89857020, + 951056098, + 275115697, + 332185559, + 513376910, + 992967798, + 906221426, + 788703245, + 209969047, + 222807489, + 113338578, + 41873753, + 263367409, + 91902892, + 529577237, + 657212092, + 966339895, + 777659357, + 361452870, + 220157222, + 495100976, + 58435367, + 359263756, + 903336137, + 588770160, + 945083277, + 604725980, + 330253763, + 688294281, + 418997820, + 16746734, + 102090671, + 51718713, + 125735780, + 218541398, + 908647834, + 423141054, + 553267784, + 883171904, + 856969963, + 549224047, + 757662839, + 211670728, + 553604472, + 686555071, + 490142339, + 948371243, + 977280039, + 406374265, + 422489130, + 635153204, + 799067464, + 958923809, + 263648636, + 986388315, + 341184045, + 839384672, + 754699667, + 197895152, + 613291260, + 180145033, + 882365979, + 535607248, + 298318195, + 212058628, + 721497066, + 722051660, + 220330170, + 247858939, + 742508154, + 64571907, + 581520866, + 303972505, + 543529071, + 103478606, + 945415427, + 203174953, + 290396436, + 572046687, + 715536963, + 646509874, + 159562010, + 749890118, + 847150617, + 745380773, + 874536993, + 740888242, + 582672159, + 572525206, + 223006034, + 837007827, + 933090002, + 911627279, + 502652088, + 799430881, + 627487933, + 677280310, + 175562453, + 445714182, + 221862512, + 960820176, + 613527486, + 931489259, + 466566184, + 134319200, + 466523228, + 70940554, + 565504657, + 385480621, + 291171862, + 891220796, + 353872983, + 6472955, + 381455450, + 13374229, + 635540518, + 470105967, + 232900844, + 196707179, + 719790938, + 549061269, + 793882793, + 883460563, + 635932393, + 495007780, + 886089547, + 845503936, + 431310449, + 363660363, + 973133937, + 384868068, + 550732572, + 355239404, + 163417121, + 327193713, + 223214408, + 718091879, + 881870883, + 384689677, + 101074665, + 813385507, + 659645981, + 361465422, + 657346814, + 52882712, + 207857782, + 119633633, + 397764051, + 969311866, + 415835287, + 549409625, + 927964416, + 662168518, + 670872118, + 613048140, + 682589623, + 514378573, + 327231281, + 978860422, + 321461298, + 88208944, + 31854494, + 550849653, + 454157907, + 547896687, + 469127023, + 763372642, + 596340589, + 962881315, + 858202250, + 241885188, + 592685193, + 483497617, + 268565483, + 921386708, + 381385138, + 993970140, + 147976534, + 552230865, + 352844518, + 950516472, + 347669413, + 688088616, + 810273864, + 46075398, + 848099773, + 331613322, + 551938035, + 922406835, + 777768177, + 882798274, + 486335911, + 909292973, + 256831147, + 644994126, + 150547995, + 288370795, + 323795663, + 108742265, + 453149073, + 912532352, + 15582072, + 542098727, + 800502675, + 544882890, + 26501794, + 349426998, + 49633702, + 568923524, + 491756306, + 104857663, + 462931562, + 286692666, + 477256230, + 514175190, + 787063840, + 221154006, + 261952541, + 660711329, + 397456899, + 981818417, + 530128147, + 528257350, + 963119957, + 380377420, + 686809808, + 132144647, + 528985910, + 822294053, + 616751510, + 342510535, + 542964752, + 953736559, + 313493164, + 606887229, + 911292, + 661263553, + 317923504, + 150918173, + 953725773, + 362959048, + 728509806, + 653017803, + 557664301, + 394839285, + 564024321, + 704009062, + 582571207, + 210773563, + 934715457, + 217651160, + 146271867, + 175351431, + 734103732, + 619211915, + 788609505, + 966641330, + 664196629, + 88484452, + 4375848, + 264242203, + 283978763, + 83505158, + 129465938, + 995387596, + 673405066, + 911938491, + 848086590, + 312531131, + 231829372, + 534010781, + 208109621, + 934747745, + 59758280, + 861199006, + 292364283, + 422301545, + 170556456, + 982043871, + 461717221, + 923602512, + 439408812, + 554739754, + 322796482, + 602385737, + 606130602, + 803857160, + 184414665, + 331495691, + 115086127, + 473735814, + 720760173, + 865176005, + 911883067, + 739298005, + 710288379, + 824096197, + 208072427, + 882631896, + 909755613, + 158794979, + 561655918, + 239980500, + 294709389, + 859781803, + 386790038, + 236223300, + 117115216, + 133665300, + 627007489, + 862633710, + 949048873, + 305030016, + 491724165, + 27711678, + 663042318, + 856215328, + 322408442, + 240477405, + 571620355, + 570994377, + 519959176, + 222186849, + 586598305, + 196850282, + 89750964, + 256459655, + 742976209, + 26407404, + 238815112, + 726482896, + 26355249, + 310573384, + 196809673, + 532263838, + 19124291, + 794786340, + 769165130, + 41163052, + 913648000, + 799429256, + 123697854, + 897390823, + 97875423, + 185273922, + 141443839, + 219477736, + 469243930, + 995093812, + 579215653, + 65184158, + 21448310, + 193287709, + 746956323, + 24277780, + 919064137, + 910732439, + 561660236, + 830485783, + 126349456, + 434520385, + 301911573, + 536666991, + 176665085, + 400954491, + 978235065, + 371380724, + 348013368, + 259798936, + 327489424, + 111043722, + 314249202, + 222824710, + 728307409, + 270371251, + 75183573, + 154614057, + 510711750, + 782148192, + 635853480, + 301575301, + 530572053, + 345524638, + 437031322, + 752844285, + 988264720, + 305379142, + 891520954, + 768977588, + 358878989, + 389180951, + 861964780, + 798867116, + 393911788, + 21750507, + 2233747, + 531158231, + 541881482, + 442255072, + 575213953, + 828578790, + 67894413, + 256710500, + 785265036, + 403538256, + 59202696, + 989532536, + 394166965, + 837938694, + 576886567, + 617846895, + 410323912, + 807527372, + 895741629, + 386416813, + 449271395, + 373633647, + 727394498, + 347734284, + 12223382, + 287148315, + 67155248, + 669491060, + 912542072, + 888119566, + 55675429, + 17359237, + 29359169, + 778123732, + 669850475, + 784249755, + 898534023, + 747242469, + 975754501, + 355261389, + 98103520, + 38885553, + 888991824, + 567438991, + 539767105, + 741520318, + 217905171, + 938406910, + 960444514, + 991012863, + 887743765, + 935872850, + 123954930, + 277260410, + 757880475, + 622227102, + 748936696, + 119120740, + 296073344, + 890727352, + 510793528, + 72710488, + 518483154, + 388362322, + 875867656, + 934948443, + 149838834, + 473598381, + 52607866, + 197134941, + 900372787, + 918542323, + 959804948, + 887071515, + 396721017, + 126255377, + 910945082, + 75320725, + 757075137, + 738945772, + 477074789, + 73043753, + 277156626, + 242124511, + 353796082, + 405966230, + 907579650, + 559454138, + 401850903, + 289320501, + 580367026, + 956423402, + 383334128, + 158486392, + 217962084, + 100351542, + 627266404, + 30158315, + 852741828, + 38685779, + 359487251, + 177384403, + 744300229, + 648044924, + 757211372, + 608618902, + 709949274, + 774431650, + 50030624, + 882837771, + 845662011, + 884149917, + 886509289, + 828776883, + 349835217, + 304493295, + 280532931, + 937781840, + 653830358, + 761388380, + 79857414, + 466954147, + 791394412, + 161927485, + 883185226, + 637460453, + 368855267, + 895727304, + 414455204, + 511026749, + 41992615, + 751131197, + 865454175, + 915612067, + 95439329, + 956801634, + 564580135, + 493670196, + 243576528, + 592912467, + 965327208, + 722836392, + 669703383, + 808506599, + 397074674, + 776575936, + 673595131, + 260697013, + 401493934, + 965560807, + 788173731, + 921330088, + 60084730, + 420687211, + 798036709, + 210645326, + 306179972, + 134004315, + 518908306, + 34104910, + 800684544, + 784291119, + 59398704, + 917164084, + 792699705, + 301163631, + 776747883, + 757977528, + 121460391, + 473587570, + 430795729, + 965445788, + 841403811, + 258923773, + 232207692, + 573968501, + 149786305, + 29281179, + 363984292, + 869045797, + 826023315, + 741425895, + 636061738, + 546546035, + 133785744, + 859079739, + 764042548, + 802354412, + 7432871, + 924757157, + 787578336, + 130791650, + 380832386, + 824853418, + 527345636, + 702825644, + 19195472, + 311714088, + 999987183, + 386352721, + 453561610, + 101405884, + 217794774, + 554227798, + 386223742, + 741247177, + 184234488, + 773042155, + 746730418, + 201656162, + 512238163, + 860004682, + 621676168, + 612563329, + 188960352, + 561690139, + 795381960, + 580975369, + 994515448, + 651406105, + 806319080, + 393287282, + 661901674, + 222246555, + 390430152, + 173701513, + 916012551, + 691757183, + 325832846, + 127859073, + 77872131, + 415439568, + 950209196, + 107539137, + 292216862, + 159134497, + 262734923, + 842321712, + 810558124, + 123338743, + 228572778, + 73877527, + 725207314, + 449781771, + 126136370, + 493209802, + 122191830, + 461055221, + 927307682, + 942103589, + 836864296, + 812494051, + 480006228, + 574368423, + 147487189, + 200368795, + 397629089, + 749894799, + 847407093, + 526401691, + 825137320, + 343542092, + 630964770, + 149337816, + 487677948, + 323312911, + 605057304, + 49685560, + 658159751, + 135388919, + 269778034, + 335019398, + 915906471, + 615455978, + 908037049, + 370613706, + 292456318, + 95153823, + 936746655, + 664101642, + 134551675, + 786283958, + 397480237, + 489957991, + 883429052, + 58148192, + 163724705, + 556646778, + 487127893, + 873950753, + 240118459, + 76709311, + 488294905, + 857245484, + 470151377, + 457636272, + 460342131, + 18970678, + 52579061, + 365270712, + 30121069, + 69510073, + 63464735, + 675868929, + 519290240, + 372968085, + 810208216, + 35902803, + 354531635, + 718478917, + 739384972, + 895309457, + 122291699, + 149801531, + 623433839, + 109100382, + 913795799, + 579443123, + 145554883, + 67064978, + 454360307, + 761766713, + 767821127, + 245084073, + 639831264, + 633911214, + 684592466, + 662829613, + 168689615, + 514097300, + 864575192, + 127492807, + 569210589, + 200969789, + 672989948, + 157298037, + 260121378, + 372535162, + 740500173, + 614399997, + 209756398, + 437751939, + 70216461, + 919377953, + 636868159, + 611647266, + 739038802, + 669791722, + 634968912, + 523782817, + 246466077, + 781550689, + 857862514, + 631765108, + 934618139, + 134911091, + 499986181, + 332933853, + 2388202, + 904314823, + 101576934, + 268142918, + 714357650, + 500498285, + 789553540, + 869948508, + 15119601, + 349671566, + 460592097, + 731229268, + 460440625, + 504433141, + 410121050, + 206614040, + 784817524, + 280328026, + 990661188, + 71293396, + 546741534, + 916159385, + 467920599, + 479239690, + 855221442, + 734003225, + 900522521, + 448119365, + 15952230, + 884236467, + 720282520, + 95559146, + 709555077, + 38023111, + 425258929, + 667852763, + 150857760, + 543192919, + 216650584, + 996932464, + 563404211, + 387183590, + 376064719, + 675186704, + 925467917, + 518477309, + 25254100, + 87610164, + 339483852, + 950492746, + 687035064, + 95929345, + 336516408, + 552108397, + 872071614, + 287025798, + 573827221, + 349418062, + 861236277, + 610803084, + 93914624, + 807727386, + 511962918, + 118127131, + 750516545, + 504773742, + 698088723, + 254015423, + 439580051, + 865594893, + 369591351, + 505457839, + 909161793, + 125802968, + 648238587, + 620163057, + 752240302, + 208371000, + 554672907, + 908923113, + 691208646, + 680150642, + 982569843, + 272565607, + 220474013, + 289257773, + 831036036, + 478234772, + 904839538, + 883351484, + 243935493, + 435045332, + 67885304, + 599614988, + 567628384, + 692715970, + 488119562, + 195687829, + 477744439, + 89767695, + 81160738, + 541503588, + 742909032, + 532260643, + 870210219, + 994344898, + 236901382, + 400503978, + 600668952, + 960241804, + 340633329, + 107635009, + 374601728, + 19393327, + 862434018, + 119863094, + 182997012, + 837858699, + 717506034, + 413492772, + 472221080, + 194991705, + 744556528, + 144613995, + 310138987, + 565571184, + 858022536, + 943444627, + 962158673, + 595049979, + 179220585, + 704070887, + 160237233, + 477085377, + 255927738, + 150442171, + 931070496, + 597470447, + 671667023, + 168901479, + 253160229, + 570515721, + 192871455, + 284090318, + 284265096, + 549682217, + 388105147, + 656460894, + 152054205, + 983987071, + 703815544, + 660506749, + 49522211, + 721887506, + 552806081, + 789884098, + 34727658, + 389788065, + 145263477, + 34771746, + 424316757, + 429357439, + 150740702, + 245535506, + 36428018, + 458168723, + 71055236, + 997807635, + 566315912, + 988530862, + 336961919, + 358210582, + 18710980, + 922935910, + 902878721, + 617340446, + 606578348, + 484678172, + 582865234, + 352322852, + 905830887, + 491155124, + 823949539, + 614484020, + 172925175, + 838013959, + 381286844, + 498417285, + 168637181, + 887345322, + 735240299, + 582345698, + 457925687, + 868846067, + 656646167, + 142243954, + 985856185, + 36975115, + 888408217, + 289834120, + 532180922, + 201476790, + 944240429, + 697726890, + 295191773, + 227467691, + 415246335, + 297638632, + 327213240, + 460072257, + 804704640, + 472593394, + 5825417, + 335831791, + 127094751, + 428711710, + 733865156, + 665863183, + 56962079, + 486933019, + 193477510, + 260518214, + 693371689, + 359803458, + 134240304, + 779384689, + 291819979, + 555571219, + 724491118, + 581141362, + 261844385, + 84211219, + 167317494, + 38122087, + 101820907, + 527924199, + 301706713, + 485473338, + 448804674, + 866178514, + 52851903, + 201837489, + 654858746, + 338347881, + 306030046, + 193840302, + 825206474, + 816946438, + 500184743, + 783368635, + 372282411, + 759742073, + 155954716, + 246143493, + 378156549, + 645784700, + 13130991, + 627619075, + 699521635, + 831047652, + 65852125, + 771587822, + 178952090, + 667403659, + 652980654, + 453771103, + 240094761, + 742890135, + 109387330, + 222371791, + 313122406, + 646966903, + 20906564, + 716551824, + 712746309, + 430062404, + 152985948, + 281788563, + 695030216, + 467669674, + 387625563, + 996126282, + 978729982, + 452665999, + 374883679, + 472541987, + 375163245, + 450497146, + 771431170, + 141092259, + 96379674, + 467256840, + 819347245, + 861041536, + 859687117, + 700033481, + 305807697, + 272812389, + 172375657, + 737841018, + 828387192, + 255937049, + 421873875, + 896636096, + 293298864, + 351918724, + 823009369, + 55953731, + 307992016, + 560729600, + 539316305, + 178666582, + 668618692, + 98646235, + 610126421, + 180834089, + 185732298, + 628776400, + 924030424, + 838338208, + 446179012, + 776193139, + 821389435, + 930602686, + 144030460, + 215201776, + 664099881, + 416431864, + 928219177, + 162510839, + 136836401, + 285640077, + 935767895, + 324206298, + 656075340, + 105279057, + 683178869, + 594496694, + 450830646, + 390254356, + 801278184, + 751808522, + 580262205, + 230113826, + 392279339, + 468242630, + 480415006, + 250318474, + 738328138, + 133753276, + 346787716, + 311879760, + 24608894, + 957240224, + 781887175, + 446467482, + 782342386, + 636650002, + 644789936, + 203726165, + 108914381, + 945758806, + 317018560, + 652714399, + 995639220, + 556220212, + 880645629, + 728502911, + 403173639, + 898360330, + 56535034, + 977967672, + 499834858, + 72542345, + 778317801, + 124366767, + 904716141, + 268348120, + 370777691, + 196437409, + 936929688, + 114016085, + 843899887, + 59661756, + 651590314, + 220929887, + 792559410, + 851879828, + 297591720, + 356730489, + 233982235, + 786917250, + 983595690, + 105738170, + 788904746, + 945664792, + 759281859, + 996372862, + 143414335, + 918592811, + 927251733, + 301828457, + 63832378, + 942603838, + 609820644, + 641729645, + 877658216, + 308085303, + 43050301, + 989325505, + 15934819, + 193301295, + 66937268, + 10406700, + 514701720, + 697842162, + 356037918, + 770808883, + 340000141, + 135311152, + 678476857, + 621616277, + 226187690, + 584302387, + 536275848, + 26418234, + 204105489, + 52330170, + 330072895, + 757760144, + 898340451, + 465752402, + 629717625, + 267542437, + 445510822, + 218998901, + 766472016, + 142066030, + 316962063, + 770436254, + 263121718, + 273736303, + 163356070, + 905515281, + 753343710, + 375442443, + 437077521, + 496495687, + 87545072, + 988067686, + 600908676, + 214159275, + 772083458, + 392151623, + 973480317, + 174531099, + 710167308, + 307951561, + 757743388, + 470663190, + 410846582, + 788292846, + 271745627, + 18002451, + 928439910, + 668691736, + 780072316, + 971495577, + 256400373, + 176247816, + 651359766, + 683660846, + 365925120, + 178875674, + 194658943, + 995341230, + 295527486, + 826522741, + 498912872, + 375389259, + 639513611, + 951567016, + 685452215, + 7501372, + 75516535, + 412257324, + 31071168, + 577971849, + 878056383, + 117854684, + 367777950, + 768034361, + 598135814, + 242688966, + 456085242, + 402388950, + 308967038, + 440046966, + 321870905, + 577593041, + 967025720, + 618747494, + 619891341, + 312420017, + 664054596, + 868750614, + 57854413, + 95137461, + 657263347, + 262349609, + 650300679, + 109499647, + 33022647, + 530333413, + 957413526, + 485218136, + 756583954, + 461718628, + 616234889, + 589232521, + 581795370, + 901894202, + 461965874, + 831945404, + 248305563, + 370366146, + 678715281, + 676560097, + 198375040, + 726530850, + 613156570, + 657545512, + 782013588, + 433818643, + 936307406, + 206033208, + 302670108, + 592493566, + 969417247, + 224102638, + 727992868, + 511428770, + 572711193, + 577397067, + 560429238, + 230104301, + 234128646, + 251547439, + 569232598, + 797971996, + 996454163, + 17960039, + 546436037, + 266654814, + 813071035, + 918906513, + 227917633, + 164724075, + 444941941, + 486159419, + 635296456, + 394137620, + 12748994, + 575516436, + 607037501, + 179863956, + 410644517, + 258591978, + 270515835, + 407157429, + 7383863, + 965814940, + 277073772, + 868191176, + 689697204, + 396432714, + 881213179, + 782935872, + 977666711, + 534372662, + 965101574, + 698052880, + 438766759, + 692131586, + 102298656, + 902724614, + 64260801, + 179414425, + 524887537, + 934106762, + 288058991, + 515555007, + 765891082, + 681756677, + 565498025, + 958245480, + 541111469, + 10117908, + 154463138, + 500847302, + 972364, + 736757617, + 259041070, + 116335075, + 440548069, + 974112818, + 728313003, + 421926481, + 160443765, + 754814050, + 568410958, + 173201281, + 512704946, + 415315751, + 74236558, + 623015143, + 188685048, + 843035726, + 238928128, + 935375730, + 350815928, + 249602418, + 377139337, + 571527393, + 878097337, + 699794163, + 939215234, + 810302683, + 867077880, + 990366976, + 34807494, + 307856365, + 566668604, + 874199905, + 153461405, + 201656169, + 131604790, + 270179035, + 340429448, + 676511917, + 872175211, + 603280808, + 288881522, + 187476224, + 974729139, + 705501975, + 53210750, + 624682801, + 598638862, + 285769585, + 916760939, + 895448258, + 559085289, + 164795977, + 810468188, + 821712525, + 797971200, + 712276098, + 14319315, + 684362510, + 510110255, + 962549472, + 870909151, + 775812764, + 649067005, + 482978253, + 641987026, + 178051169, + 946384181, + 959691768, + 256284477, + 64294052, + 70010655, + 654071670, + 555612518, + 284420876, + 611584860, + 737256549, + 682138336, + 291778961, + 447682923, + 933038065, + 584879617, + 252676725, + 220330386, + 245438584, + 312526589, + 242559145, + 733882255, + 641792782, + 948371526, + 38372856, + 175792530, + 201276868, + 765661535, + 321604222, + 859456329, + 38448978, + 58579696, + 526744205, + 137658291, + 813631234, + 391090646, + 765596167, + 240397108, + 158882040, + 687158248, + 717161640, + 269235096, + 324046669, + 434245208, + 369474155, + 525735041, + 302841995, + 418208960, + 843231139, + 307067664, + 100711599, + 679899728, + 824404738, + 602712641, + 818037532, + 76958739, + 367922392, + 637698158, + 628898164, + 503061710, + 788455055, + 319173801, + 966191683, + 806209192, + 510490940, + 667810117, + 585807097, + 816347595, + 134832850, + 789521893, + 738410717, + 478206829, + 202198861, + 776934115, + 391851233, + 945990646, + 610241700, + 526017195, + 553111094, + 458614957, + 159999453, + 197503075, + 598454310, + 268982470, + 13396792, + 76210763, + 391811495, + 59331291, + 961069305, + 291000519, + 79797649, + 379321932, + 458409315, + 586498475, + 32237156, + 253544517, + 604644784, + 352698893, + 33466460, + 128397866, + 84591632, + 610152661, + 972917197, + 685982841, + 407047398, + 363909724, + 656792838, + 810787801, + 934844627, + 414070322, + 718318649, + 575142248, + 555199158, + 22072846, + 717413314, + 786622069, + 719560903, + 752319422, + 683977399, + 789890958, + 475394769, + 12494347, + 485631847, + 299655377, + 35778753, + 716348505, + 789926672, + 527126937, + 837134094, + 193978135, + 996551003, + 570101275, + 7841138, + 494342942, + 763539421, + 525314304, + 464604430, + 7060903, + 378451175, + 220324036, + 569221357, + 978704384, + 366355658, + 270561088, + 702743363, + 623613256, + 957692098, + 793947793, + 721914109, + 82396540, + 111300969, + 70598115, + 649545626, + 60749743, + 435791196, + 234664822, + 730946115, + 117342043, + 308965253, + 973235974, + 407705733, + 943670816, + 523753183, + 30871659, + 41351032, + 142604362, + 478085188, + 938149430, + 127520854, + 186204953, + 595193115, + 39680129, + 538968189, + 289341308, + 144766491, + 102017032, + 640463513, + 666025780, + 610991562, + 8130091, + 400660134, + 754127841, + 354415124, + 404291690, + 527047499, + 49301586, + 590101458, + 972449123, + 279635986, + 291194383, + 546493927, + 939066593, + 429487725, + 872399237, + 379111725, + 93384623, + 226825408, + 397427851, + 9596322, + 298212332, + 912730393, + 127391045, + 874617259, + 100923266, + 685445631, + 347587579, + 608929452, + 216192910, + 233165478, + 109866122, + 751247412, + 23215909, + 586222348, + 205117872, + 212442112, + 253421247, + 194483130, + 28291936, + 610676862, + 77107076, + 774261385, + 999969534, + 261230857, + 347196699, + 704840995, + 42395833, + 421532537, + 961732049, + 680426653, + 774070243, + 12386817, + 736377291, + 41017364, + 323032148, + 86378664, + 512043129, + 903586490, + 610159057, + 884027401, + 51947878, + 345033125, + 720862599, + 132352106, + 231416941, + 663360067, + 279609073, + 881358442, + 37603902, + 136930909, + 169278725, + 466701515, + 274388184, + 586038843, + 620946077, + 123349186, + 497883839, + 192980670, + 795804368, + 447642062, + 564248023, + 562623424, + 870091907, + 341325877, + 891860700, + 285200391, + 188066336, + 257831411, + 195896642, + 770488127, + 146911855, + 27352784, + 190301928, + 857403456, + 373323595, + 219028788, + 27517442, + 666561401, + 950958246, + 748225693, + 780552380, + 458273811, + 358439601, + 569625165, + 738609774, + 922625485, + 958581705, + 240168183, + 737837597, + 322724599, + 800793027, + 271158434, + 728745190, + 779002898, + 243195892, + 861811306, + 571460005, + 355245528, + 651116615, + 835324683, + 414041801, + 344852190, + 886700336, + 210587788, + 999140936, + 624231241, + 110957245, + 189745894, + 711900592, + 712590705, + 686913959, + 197156072, + 405180266, + 782182395, + 779742160, + 901805061, + 188068627, + 880971248, + 51891339, + 949468190, + 485129883, + 536192571, + 656637463, + 388133304, + 925709740, + 581303741, + 218502684, + 306765802, + 69438499, + 956069316, + 506741836, + 874728415, + 485669893, + 492784528, + 479320785, + 512064430, + 21181732, + 844800469, + 778196692, + 71155907, + 814985890, + 112133683, + 863887248, + 580161477, + 187355586, + 801113862, + 590430279, + 587005539, + 25017876, + 722036450, + 777931451, + 26265377, + 487508416, + 141029643, + 484448533, + 633759770, + 677199394, + 528916331, + 603627912, + 135710241, + 572969117, + 164856741, + 262070882, + 587535607, + 266156223, + 136275256, + 973313797, + 601214211, + 955160138, + 944591574, + 134765261, + 712073531, + 888054435, + 629141366, + 291948342, + 3472831, + 529505077, + 990092347, + 258153046, + 880594210, + 554422360, + 609017993, + 441823940, + 730361783, + 638082907, + 22982479, + 388808421, + 190075276, + 623194197, + 476647879, + 51977957, + 801917972, + 259294178, + 635975932, + 225994177, + 812751613, + 73511054, + 10384748, + 321215716, + 882737611, + 9462059, + 882961369, + 609820269, + 774763331, + 595347323, + 366791043, + 167472883, + 613015495, + 603881869, + 610339813, + 147615465, + 44589835, + 730040366, + 63074094, + 470020303, + 130902770, + 402810439, + 592346839, + 504327990, + 497705397, + 879838371, + 784745953, + 405040745, + 28531228, + 625884273, + 202403950, + 35373710, + 740178684, + 477180456, + 968802961, + 364043969, + 516847113, + 85592324, + 707527799, + 706751410, + 901481868, + 72522841, + 639974341, + 788906206, + 615794925, + 8880624, + 833961207, + 946452682, + 323621443, + 703860596, + 741598891, + 155987152, + 383232499, + 291692448, + 334527017, + 311657264, + 928134642, + 538465429, + 146179557, + 505546368, + 450125862, + 933122707, + 640359806, + 204099097, + 233820497, + 24862116, + 181687639, + 45355096, + 950419730, + 405629676, + 170976257, + 588899275, + 883529247, + 22344905, + 996820236, + 283906693, + 492578350, + 164042544, + 905730439, + 462138497, + 937745914, + 126694129, + 189191329, + 661929751, + 914972532, + 478786998, + 722778654, + 125466743, + 569487467, + 529646018, + 270815378, + 983264373, + 209995394, + 459672602, + 254581458, + 829478238, + 725500828, + 356886710, + 383225336, + 403567727, + 791770486, + 107430562, + 820507011, + 599524720, + 363368664, + 486972586, + 212797959, + 243584123, + 297182616, + 347268338, + 369623847, + 308809369, + 269612079, + 320750987, + 502543402, + 43953442, + 249941011, + 949751701, + 348695351, + 906451067, + 473153203, + 776299366, + 963824407, + 896678266, + 163165562, + 961786505, + 191899485, + 63842725, + 353798124, + 860138338, + 70813271, + 649126846, + 718135785, + 531173832, + 376551, + 375388868, + 439609514, + 338387113, + 575352627, + 901901833, + 853967432, + 688025479, + 132711550, + 215189888, + 800185032, + 567106499, + 779909380, + 123924753, + 676455212, + 176304453, + 870512254, + 583193978, + 76466762, + 888295234, + 382442413, + 716162238, + 8610800, + 477368696, + 286768668, + 437527221, + 265420282, + 811616477, + 324637747, + 137264749, + 893145168, + 496074256, + 420940472, + 849301008, + 136286701, + 813834949, + 503816593, + 755016220, + 539673923, + 885909682, + 85932578, + 639096227, + 214355545, + 994187065, + 241608691, + 471646715, + 887931715, + 470408284, + 185697376, + 374616998, + 718492062, + 473510154, + 578272650, + 999834361, + 896719494, + 856168819, + 45061071, + 247323494, + 248897060, + 211924520, + 183071433, + 987944833, + 844477146, + 84739747, + 574423453, + 271687006, + 809815658, + 402583453, + 633161532, + 563706336, + 615353141, + 828261862, + 550571968, + 758189436, + 227886391, + 275193455, + 100157889, + 778234003, + 748322611, + 724434762, + 458540265, + 798725580, + 592345040, + 910984644, + 619572359, + 367413960, + 330597467, + 986866851, + 871559106, + 907416455, + 762622571, + 822177498, + 631798314, + 874668925, + 839735475, + 820983193, + 751873995, + 269478987, + 322073278, + 349271861, + 270339518, + 325293065, + 602274046, + 395997911, + 407865489, + 262424590, + 215529374, + 390488705, + 806019090, + 741628096, + 782694749, + 222749744, + 369122762, + 475119304, + 807637095, + 137338104, + 418509382, + 109721406, + 839161715, + 245503790, + 913316106, + 529696445, + 160987381, + 755174540, + 664403805, + 506677552, + 921650837, + 323108565, + 417411536, + 647363506, + 274143311, + 750056862, + 790001962, + 968486564, + 605237584, + 102201993, + 809713536, + 164437053, + 687417500, + 849557812, + 545948846, + 678674703, + 278932401, + 6918092, + 579005667, + 349352875, + 565838776, + 377763224, + 606559358, + 78437169, + 457921675, + 248888513, + 386936840, + 983443110, + 4063754, + 727850861, + 278372235, + 912638489, + 551743408, + 20090741, + 966613824, + 855539993, + 614145159, + 876488463, + 824553596, + 656569962, + 66120889, + 733870574, + 973782071, + 691101542, + 559761376, + 596296428, + 579553544, + 867700646, + 862196586, + 217016089, + 815891058, + 158523224, + 937155725, + 794887485, + 364154557, + 692352489, + 396378187, + 835099487, + 838454049, + 735284630, + 496770360, + 649907842, + 31320500, + 612841464, + 675910987, + 50205885, + 73821948, + 878630162, + 532091273, + 787743725, + 471166935, + 390643971, + 536918634, + 411733067, + 635778281, + 881441675, + 222902532, + 617000848, + 23490124, + 776065500, + 538150313, + 496212149, + 698435592, + 358665540, + 960913113, + 673925250, + 603544474, + 4959572, + 366065473, + 657489679, + 626026794, + 359296739, + 462539298, + 195345863, + 355189878, + 361875357, + 804099352, + 759320339, + 792900014, + 553507191, + 352819975, + 880938990, + 725076051, + 488976734, + 27918088, + 197614676, + 33200102, + 763176346, + 363935980, + 753448034, + 594262111, + 60828043, + 728062780, + 438258859, + 346510882, + 359708307, + 915349300, + 790814739, + 587160083, + 512078790, + 537513663, + 144979537, + 865505725, + 878259433, + 819173934, + 306040556, + 551699463, + 110634356, + 935907812, + 476626573, + 728135428, + 153018477, + 859851371, + 444175863, + 456520545, + 731372377, + 100667793, + 764970082, + 847779225, + 39232627, + 916386408, + 142170074, + 752433909, + 946888749, + 589967451, + 380629639, + 262068888, + 562366262, + 899134921, + 734854276, + 47203343, + 33235758, + 701033083, + 583692261, + 518738374, + 821771661, + 170917934, + 475545632, + 10827000, + 83903728, + 827000744, + 388224923, + 378881512, + 260075729, + 312407158, + 850791856, + 356982719, + 926314462, + 682546344, + 594933921, + 183432962, + 542634264, + 293182604, + 520623716, + 661155513, + 847860552, + 60064434, + 129648037, + 883095294, + 840151409, + 717185097, + 438085026, + 640716462, + 338701108, + 724760554, + 221236683, + 49975012, + 209980906, + 964320310, + 537281855, + 300657539, + 705599867, + 576214468, + 858008059, + 684837178, + 431890950, + 266242056, + 791077066, + 86139474, + 968547166, + 93929277, + 73903026, + 873247058, + 211237509, + 948933633, + 97313275, + 156471471, + 156195812, + 533065676, + 879025855, + 765442455, + 75263811, + 14917530, + 598880435, + 309578866, + 876875368, + 518086493, + 360445225, + 372725387, + 355995964, + 167308009, + 816380100, + 410226415, + 545975741, + 11596662, + 754688063, + 982339790, + 413870145, + 122185786, + 210618131, + 917576896, + 403537201, + 342406270, + 344037789, + 947027171, + 139222145, + 399928314, + 567933579, + 372937876, + 491944441, + 350754469, + 861838337, + 505698952, + 974688904, + 507321266, + 469916161, + 710960626, + 377437695, + 997601050, + 458217160, + 467505678, + 548080703, + 652264870, + 709472447, + 240570054, + 555730989, + 716700229, + 456345140, + 558160065, + 54225921, + 560393536, + 266233377, + 844953830, + 657944231, + 566473576, + 786832050, + 465773208, + 347584768, + 814899933, + 270184789, + 159854693, + 70924549, + 964037299, + 788370007, + 825939974, + 891372560, + 848075490, + 719105910, + 691158970, + 273157599, + 915184192, + 395831323, + 213871679, + 515297307, + 815337133, + 22951905, + 107496558, + 222208598, + 510848518, + 539467548, + 291158711, + 736664142, + 314038330, + 653072699, + 996495000, + 391521727, + 327934919, + 702709827, + 571828044, + 277946990, + 84960961, + 896648388, + 931974867, + 863797388, + 12210923, + 812497240, + 105032477, + 89985007, + 78564304, + 556762055, + 138510167, + 139536656, + 923741819, + 221615960, + 707365849, + 626596303, + 846641, + 210064003, + 627169362, + 911970605, + 216570752, + 693902578, + 416042938, + 209751607, + 269737997, + 852295719, + 412749144, + 275090529, + 859435303, + 38991556, + 991294061, + 492852639, + 389595239, + 366278485, + 797300397, + 561854198, + 67966987, + 456971379, + 752703864, + 890746112, + 584609144, + 807186312, + 745104189, + 617969324, + 872052726, + 253997476, + 813919479, + 868790462, + 689886206, + 572389277, + 208755844, + 994011150, + 727636506, + 278499944, + 851347836, + 167044299, + 293734898, + 956825263, + 714523021, + 783585574, + 655831720, + 106212024, + 974754339, + 308900102, + 532350812, + 526602021, + 213984817, + 921553945, + 532106960, + 599972247, + 700016153, + 308885342, + 468173839, + 812912256, + 59583811, + 334290120, + 350684217, + 196983789, + 748707075, + 912255904, + 15443246, + 937971092, + 822428490, + 859810106, + 978565902, + 770573356, + 722999925, + 971196807, + 116314098, + 31802479, + 283006767, + 96699880, + 673863742, + 698642333, + 339733510, + 131739668, + 341748502, + 545782183, + 276600793, + 959694456, + 139212043, + 649379470, + 971902479, + 580700004, + 440517362, + 47768160, + 227695320, + 853452964, + 113510686, + 38563739, + 216683081, + 643929684, + 285518142, + 562912655, + 703139411, + 366601261, + 901936887, + 703303693, + 995603991, + 45710680, + 171039452, + 838501261, + 469514072, + 486468899, + 676101921, + 280213057, + 348567783, + 4079998, + 434969673, + 305152566, + 639148785, + 486603449, + 792126552, + 382195620, + 7319566, + 74267223, + 896452444, + 251361974, + 141089098, + 696671065, + 855680031, + 976196970, + 666842442, + 638533162, + 851484296, + 869838328, + 331217719, + 959112626, + 249799191, + 673230230, + 207203896, + 63412688, + 48607119, + 410801296, + 785609729, + 912671797, + 129782268, + 25720480, + 598056530, + 806446463, + 709797179, + 886839954, + 804920990, + 2754095, + 620221783, + 292448301, + 100767824, + 33747730, + 666182562, + 700799054, + 685715281, + 606431223, + 519931824, + 826834483, + 285052414, + 92740613, + 821755514, + 808526209, + 649777757, + 84364030, + 714919204, + 965136805, + 744753136, + 122848413, + 68524566, + 299937457, + 196650818, + 515513830, + 291937389, + 586091769, + 762410349, + 668542901, + 711877741, + 699478732, + 612076786, + 786759108, + 993783726, + 740834952, + 519112668, + 184107406, + 320294546, + 257250095, + 878952113, + 105865000, + 921152926, + 825990301, + 373452043, + 284667329, + 660768553, + 96347146, + 242580370, + 892736978, + 854049911, + 55832872, + 738805178, + 999131027, + 478464729, + 973247015, + 409303979, + 537477462, + 94133910, + 26199849, + 411598243, + 855131236, + 470280769, + 394937156, + 12704950, + 63556812, + 351581766, + 769921056, + 539880776, + 636907560, + 4821151, + 311090772, + 725817535, + 481778787, + 469580583, + 544360258, + 132466360, + 331305815, + 115080132, + 188270412, + 113721961, + 163864476, + 757926961, + 331231551, + 439128171, + 425916308, + 435549166, + 529618696, + 320059222, + 851648305, + 403737998, + 877563729, + 507895691, + 152774399, + 714367909, + 182875281, + 400263381, + 946294726, + 140818999, + 170170842, + 50269688, + 719131833, + 663913074, + 68338545, + 435462774, + 618023833, + 402581508, + 505603739, + 251836078, + 923265683, + 999822786, + 348717869, + 917555223, + 372614190, + 481756372, + 637037413, + 387095292, + 97913949, + 38491465, + 407883443, + 398674811, + 403136150, + 577739117, + 225819343, + 635279345, + 353400944, + 78091574, + 29184080, + 756238123, + 518780154, + 811104105, + 562117039, + 869133267, + 533011326, + 604439510, + 273988040, + 697134195, + 886752860, + 782226300, + 661864060, + 876678632, + 842626109, + 201623563, + 512682538, + 376472913, + 666048515, + 682763874, + 812947994, + 878374994, + 754693877, + 337492642, + 934159197, + 666191250, + 113664860, + 337489437, + 763011534, + 776088717, + 276878739, + 33999622, + 174516056, + 323119595, + 101920265, + 223904764, + 67770313, + 346483968, + 207216866, + 87467065, + 605507897, + 377369155, + 787536791, + 950155217, + 315901113, + 437346158, + 644312127, + 312022347, + 445472361, + 252822649, + 417335901, + 214344964, + 425563225, + 511401058, + 839864888, + 492066899, + 110832418, + 569941128, + 423699003, + 505674320, + 479989995, + 15448009, + 751831208, + 442146097, + 46305793, + 282361372, + 605560672, + 992619680, + 8790253, + 235156179, + 75887068, + 742199433, + 918454676, + 326772474, + 613706758, + 883650319, + 646959262, + 787036225, + 844989357, + 960303767, + 133626961, + 220205778, + 371372871, + 172835284, + 677532641, + 105538284, + 387972456, + 976171180, + 988442753, + 159883071, + 933210879, + 51913104, + 875456011, + 885254378, + 116717762, + 311929673, + 598736631, + 714071059, + 394792736, + 189835722, + 859946094, + 955517484, + 567430702, + 603976507, + 474477093, + 88981945, + 982643699, + 4672762, + 995784080, + 222286788, + 766744098, + 119597245, + 256842706, + 862253875, + 670399767, + 873633816, + 545033465, + 31779959, + 529352301, + 359192945, + 688651050, + 759655278, + 362679416, + 487365671, + 317909358, + 961086252, + 235550135, + 295182377, + 863276550, + 71541398, + 385840959, + 306965088, + 63317983, + 551548694, + 595576502, + 929511297, + 143513523, + 560374794, + 840040880, + 184002173, + 56128326, + 327737922, + 446348909, + 849995709, + 665794467, + 394549856, + 666121013, + 117260902, + 329659928, + 563985786, + 138080886, + 824943509, + 304845476, + 660901139, + 811478520, + 176757366, + 618032086, + 292708041, + 521156851, + 969131643, + 783019939, + 96005987, + 226011296, + 9155534, + 419584844, + 438076874, + 153038377, + 736575732, + 160157331, + 582305655, + 764187908, + 559595917, + 733263173, + 147469999, + 534729470, + 175870344, + 581706332, + 31407639, + 737149590, + 812950356, + 63705689, + 498732263, + 942213672, + 138613776, + 147425592, + 329046423, + 379507102, + 746623477, + 205755272, + 684775241, + 340387201, + 770549575, + 767423163, + 565950324, + 389093325, + 993408069, + 612414817, + 318815464, + 208818707, + 876666783, + 648950819, + 182086737, + 89575221, + 125786028, + 800627706, + 54182401, + 767363951, + 184995281, + 24293548, + 448913715, + 399640729, + 108656654, + 526127648, + 556845867, + 11282769, + 493970231, + 365810476, + 308677129, + 993497328, + 944383658, + 942011531, + 864234230, + 404866642, + 210767025, + 225072958, + 991022563, + 788316711, + 562421437, + 831689009, + 253084075, + 4555766, + 523353082, + 253695448, + 267349651, + 330492246, + 914810366, + 71209315, + 872565141, + 328750605, + 553752543, + 976380244, + 526991670, + 143092931, + 251014484, + 342518217, + 125295154, + 654427442, + 511119600, + 460453245, + 82717411, + 896619656, + 213626802, + 764362914, + 710743680, + 961615757, + 464785104, + 132433702, + 794579890, + 188135697, + 168316432, + 757736042, + 738555150, + 131164039, + 693056475, + 306641329, + 643558023, + 987291572, + 138042905, + 590497194, + 677132863, + 230789332, + 206940626, + 768479144, + 937111229, + 306931555, + 330765231, + 59976762, + 317688534, + 278877002, + 673178186, + 455359187, + 590397471, + 150252162, + 7831118, + 605225676, + 334803871, + 876946581, + 450021354, + 219501320, + 554359138, + 717448378, + 328813999, + 848316579, + 676187984, + 756501199, + 719563236, + 194517457, + 293069158, + 23650785, + 973241055, + 914665615, + 255127063, + 411662607, + 333547431, + 157515123, + 67399595, + 229641175, + 287475249, + 461357938, + 960672790, + 218088253, + 212957257, + 599881906, + 823041642, + 242687108, + 330692695, + 863338848, + 780464024, + 984105034, + 503286716, + 333698825, + 214924562, + 702018166, + 158502303, + 517975303, + 418858238, + 369000869, + 668223521, + 595306717, + 226405167, + 970234187, + 142200758, + 741811193, + 422011562, + 338962407, + 735909941, + 704704395, + 151248053, + 911812613, + 498805001, + 273010992, + 367883707, + 255612294, + 364299286, + 423538754, + 974484870, + 318963887, + 858815964, + 311808432, + 295657925, + 301439654, + 655760000, + 641118082, + 231997553, + 115785071, + 784720052, + 176189388, + 662558970, + 672451012, + 437556258, + 885818501, + 274060624, + 501912870, + 548700662, + 844231988, + 383046448, + 995838821, + 516901425, + 765314321, + 45937700, + 717459685, + 418688507, + 825923604, + 797795246, + 107378783, + 900147599, + 79585847, + 613115569, + 461171792, + 381465177, + 395491030, + 630588457, + 997637140, + 281968763, + 175187083, + 626511030, + 196070666, + 686529269, + 205678675, + 32323479, + 567954883, + 561326924, + 528996461, + 874427185, + 652637279, + 79254490, + 188500783, + 860014879, + 958962076, + 68934893, + 229244688, + 826580198, + 15592540, + 881521586, + 8984295, + 445299760, + 282220266, + 559544769, + 518601731, + 521945886, + 426079554, + 927764364, + 152795834, + 668371735, + 119508006, + 83788470, + 132317993, + 478725017, + 85094505, + 953046411, + 746644289, + 482623018, + 676652072, + 705761975, + 497207426, + 597473768, + 711570428, + 658596893, + 708307213, + 836999630, + 705563100, + 243746263, + 147766240, + 792684972, + 813524214, + 953063157, + 269270260, + 795455942, + 772757748, + 48641015, + 516115979, + 847600803, + 377477207, + 717718098, + 671350818, + 122534310, + 962812318, + 369744883, + 852982630, + 363168652, + 393859648, + 5509414, + 725940647, + 790909575, + 803157461, + 37103540, + 226146560, + 486889733, + 125323459, + 741022252, + 516509770, + 174354246, + 381145783, + 673679021, + 314491062, + 369255021, + 530632681, + 745303096, + 839163887, + 225083963, + 53845047, + 333873981, + 819806364, + 312804930, + 231399892, + 897145085, + 547473991, + 388301132, + 531496549, + 799346566, + 63230990, + 428493445, + 729306163, + 884595612, + 172287890, + 298753505, + 722859934, + 778637079, + 704585127, + 501200133, + 490096595, + 639537497, + 733981400, + 715610865, + 226270154, + 693600825, + 280207702, + 21665100, + 726135415, + 864704909, + 280622911, + 573189685, + 829750085, + 526950147, + 133758849, + 103398289, + 446526685, + 320659958, + 923417287, + 910416745, + 2774804, + 214833185, + 113515060, + 27439599, + 475423287, + 113886584, + 198228096, + 419352523, + 416904595, + 895166959, + 351677316, + 524620439, + 695429652, + 379472910, + 269032851, + 702773717, + 97926391, + 425053419, + 746179303, + 587005599, + 255079370, + 944325227, + 540726867, + 693744002, + 909987355, + 411048237, + 254180465, + 694051622, + 728147556, + 823185264, + 41181497, + 705102416, + 632432010, + 143628768, + 685486548, + 122401526, + 992271099, + 112074300, + 781454918, + 350411293, + 83652950, + 443107100, + 121603557, + 699383372, + 525300958, + 312297366, + 953085848, + 863494528, + 943118806, + 320720579, + 973764389, + 188778446, + 619870529, + 549441636, + 55016496, + 997034462, + 482472114, + 146304099, + 92677793, + 496147315, + 837438660, + 484172099, + 185446036, + 810324844, + 892431164, + 503308430, + 588161243, + 548847707, + 948720549, + 229380850, + 885513530, + 633252580, + 590869059, + 430577066, + 593597268, + 363606311, + 480784146, + 709537735, + 410119907, + 952851057, + 575369061, + 481863844, + 374404189, + 600603335, + 89258047, + 550601314, + 850169213, + 33427637, + 600336493, + 783563755, + 474814473, + 239919447, + 896811562, + 567159407, + 180058166, + 926318362, + 592581549, + 130423912, + 682929618, + 383921878, + 75302368, + 175875569, + 266775133, + 871889617, + 248320773, + 61672667, + 295366164, + 369760337, + 588746476, + 257409150, + 57774210, + 310566013, + 189513619, + 639648425, + 268855558, + 658392890, + 384694261, + 608496104, + 38307741, + 379073787, + 194800450, + 570148627, + 44073480, + 326775284, + 300019584, + 417684464, + 439353244, + 994363867, + 293323217, + 545047441, + 223765773, + 737970641, + 26364581, + 523601477, + 775676507, + 284465174, + 999937562, + 226470458, + 122130382, + 623834719, + 386469727, + 140106320, + 997437587, + 44470756, + 235159326, + 387806051, + 91999373, + 111967406, + 892882023, + 891038089, + 194082042, + 248162319, + 738202678, + 803449095, + 300275580, + 917334514, + 318571309, + 11067579, + 273973771, + 7778693, + 769233552, + 409819160, + 228530372, + 757269050, + 465749000, + 194394583, + 442974036, + 379176647, + 553362305, + 28679814, + 368616016, + 990357690, + 347882475, + 226945833, + 364456847, + 371848476, + 317920082, + 782856875, + 476543678, + 915949156, + 986584200, + 542947392, + 965004340, + 803644522, + 919783055, + 993403048, + 73762196, + 776790852, + 926328899, + 830597370, + 774367212, + 94152712, + 9210042, + 433814831, + 40225957, + 968165812, + 487336188, + 907840883, + 885931161, + 354400999, + 985212614, + 418199566, + 900265838, + 642149262, + 103555583, + 46497210, + 599421683, + 714105323, + 796500339, + 446980473, + 855552989, + 641246639, + 173180807, + 370208248, + 387666465, + 802396743, + 302139536, + 513221846, + 15630988, + 863620847, + 545356493, + 44525988, + 746475254, + 106229667, + 420828135, + 757123985, + 857492182, + 952496679, + 161880718, + 573795078, + 182241927, + 695441287, + 990924944, + 169366860, + 663397280, + 137679160, + 316519941, + 518766992, + 270932403, + 90378789, + 678670794, + 727684729, + 396749272, + 181113184, + 118323329, + 697233815, + 737613471, + 81058359, + 462575088, + 452628347, + 503638720, + 310806586, + 436967111, + 876207731, + 844723443, + 390152911, + 807419853, + 405883143, + 411663147, + 721270814, + 430493514, + 24343714, + 865536840, + 64555215, + 860650888, + 945164870, + 2720959, + 312828090, + 568559199, + 732559882, + 20822479, + 63927261, + 847120586, + 472941584, + 981659648, + 211074673, + 315578500, + 784307682, + 834869734, + 815164525, + 913993554, + 583533488, + 556398271, + 260150506, + 892584147, + 957997106, + 222943457, + 11927161, + 977429913, + 395939333, + 436635312, + 20917574, + 123386309, + 490167761, + 863623792, + 882755007, + 130194285, + 202288306, + 178207677, + 686525689, + 822607927, + 8133674, + 572039493, + 545101473, + 61615512, + 761416750, + 271328616, + 467981999, + 864850589, + 33208149, + 306799482, + 507788622, + 234233829, + 757243321, + 91088181, + 129180632, + 725627143, + 826049384, + 334064371, + 64712360, + 578046951, + 844640913, + 648374111, + 59780041, + 529305139, + 60073777, + 259042929, + 149311122, + 655864759, + 934306261, + 356024558, + 319674157, + 186081142, + 415493718, + 21585018, + 400487257, + 70941995, + 557854522, + 266552932, + 94722602, + 779316998, + 628986838, + 39166078, + 926118563, + 220048867, + 530888157, + 225465931, + 352817318, + 652169191, + 82368958, + 24013479, + 84412998, + 561097752, + 507389500, + 991984981, + 775765505, + 458048028, + 948326856, + 727891682, + 452164448, + 410431161, + 601306250, + 498425941, + 406824516, + 287136374, + 4065486, + 570336637, + 783153553, + 653059435, + 144767272, + 117348323, + 912284837, + 966672962, + 112749333, + 810463283, + 88986145, + 647233700, + 751092668, + 675686255, + 737325229, + 763491790, + 410563701, + 653769647, + 756650826, + 869417631, + 533570246, + 621024307, + 101221913, + 798629465, + 800304543, + 27129210, + 325982142, + 734358841, + 123458221, + 505387384, + 47962002, + 954900617, + 829706439, + 267656728, + 761471545, + 126962153, + 276504903, + 73206328, + 480752117, + 734057964, + 682511314, + 707691086, + 513851640, + 622848554, + 808690529, + 861718802, + 839917220, + 969856363, + 993146342, + 496105875, + 252355034, + 993502530, + 737227128, + 15143444, + 606579614, + 534860138, + 454023870, + 595947392, + 829000635, + 843686017, + 731599880, + 88939077, + 467654711, + 127630988, + 350312755, + 601967802, + 97393114, + 400571239, + 352616975, + 542370201, + 703446718, + 300478932, + 572733627, + 934880095, + 120000520, + 502527056, + 645539731, + 624211535, + 636190024, + 805318227, + 430637917, + 875816828, + 701226902, + 278391620, + 193622805, + 414594389, + 480921965, + 155969988, + 948307018, + 833802462, + 37656550, + 534776976, + 113653705, + 295229486, + 776339318, + 395418750, + 882886808, + 729980775, + 703778930, + 13724585, + 680660998, + 931610295, + 71021575, + 250809298, + 217483323, + 248262216, + 551356857, + 536861130, + 55267817, + 537827318, + 570911128, + 286745233, + 282624739, + 905620052, + 709416881, + 935233287, + 473906786, + 367790645, + 695255321, + 383493659, + 834440891, + 89625448, + 102878443, + 582777883, + 49304641, + 490999497, + 392351778, + 11894370, + 980408328, + 165553224, + 182842134, + 961840826, + 140146407, + 120313054, + 848017614, + 687923003, + 422023464, + 878209942, + 2769943, + 1766028, + 249718926, + 990130836, + 69207214, + 539273022, + 820091329, + 834654324, + 330710744, + 677029111, + 326468388, + 512832726, + 346895817, + 215884219, + 237033546, + 972684946, + 37761498, + 258081861, + 37740117, + 47794371, + 613678551, + 177930103, + 652522955, + 134819081, + 225079899, + 4809048, + 308957511, + 101526192, + 32818356, + 581638000, + 409519726, + 855120794, + 934507490, + 242228346, + 614609769, + 483639142, + 455392501, + 176074851, + 725759663, + 666170013, + 98785587, + 967379221, + 784122314, + 445637175, + 683825852, + 666734503, + 850985281, + 801067138, + 39211581, + 462803606, + 65591743, + 874419627, + 808507425, + 521587806, + 946096027, + 565968967, + 680333938, + 6864633, + 120325066, + 137247593, + 499908282, + 397385449, + 285396434, + 485746337, + 487845712, + 778342604, + 334400494, + 784464098, + 758433617, + 458518671, + 805424884, + 159941429, + 970222267, + 836169701, + 464169997, + 952753586, + 763231971, + 653475660, + 766366420, + 951832681, + 919453263, + 493210280, + 606992708, + 447972254, + 305969600, + 675638147, + 721740410, + 873908893, + 695967912, + 308354116, + 767390005, + 392502069, + 473155221, + 965413583, + 687277870, + 23038315, + 534999093, + 542567275, + 799659087, + 231163995, + 205093127, + 30018822, + 550186300, + 23366389, + 463379960, + 81716872, + 455290643, + 137946304, + 761949869, + 769087415, + 165389343, + 738695224, + 263003108, + 947588561, + 880834637, + 153285946, + 527180086, + 112708418, + 775511096, + 813008890, + 699266831, + 167206283, + 621315757, + 990049771, + 922098298, + 164595706, + 737957403, + 331051488, + 31969303, + 638341940, + 696489443, + 370796197, + 268865905, + 902080576, + 731074380, + 54991287, + 697144386, + 851286387, + 447120651, + 231516007, + 347836430, + 919873569, + 335339419, + 92199506, + 495109374, + 101529686, + 420869469, + 88288954, + 750004624, + 231606357, + 272473238, + 853684780, + 19661124, + 414738889, + 300326238, + 405962189, + 134746369, + 875575150, + 10660060, + 880998108, + 75555714, + 958365924, + 506485484, + 274943549, + 839091815, + 255948682, + 213140836, + 79382250, + 254623797, + 368427476, + 8974237, + 799414820, + 769659576, + 895541091, + 45041762, + 221683177, + 855644499, + 459513751, + 169087417, + 373790404, + 91401149, + 600146641, + 357858955, + 525786182, + 716297094, + 615704037, + 822923297, + 420304957, + 547849722, + 204783207, + 389779180, + 484219472, + 675110924, + 121831266, + 379494838, + 420758530, + 18881439, + 592334727, + 419393073, + 864175089, + 530131608, + 922039031, + 24280458, + 848566342, + 747700528, + 911330309, + 742872243, + 520411171, + 164667407, + 434203253, + 215401177, + 759496974, + 376656847, + 584455901, + 551480564, + 205341919, + 120530247, + 814037550, + 149730787, + 944836678, + 863452867, + 742648620, + 505717176, + 596522339, + 66088190, + 963093300, + 447284858, + 432425327, + 143398237, + 606475325, + 104109108, + 969142509, + 414536400, + 324898646, + 851411514, + 497311198, + 259629141, + 780627408, + 1909915, + 662230901, + 696407787, + 220603254, + 479622739, + 891463842, + 847297007, + 395090129, + 75903537, + 651958547, + 922414329, + 321668793, + 686813549, + 280564504, + 352024707, + 440549924, + 516904474, + 724857036, + 170957567, + 476651191, + 508398817, + 576688146, + 943523273, + 11746091, + 513710746, + 359188318, + 217503521, + 523726063, + 894701604, + 749593543, + 488040162, + 282699727, + 330211631, + 438623529, + 167982367, + 87651605, + 851357296, + 546612581, + 693775777, + 474861418, + 187935321, + 907700928, + 308895804, + 642401441, + 674420043, + 983114993, + 471544237, + 640279443, + 680421308, + 589839286, + 707010122, + 765218124, + 826237095, + 524057781, + 896350341, + 162149681, + 882749381, + 73864903, + 195801114, + 110615316, + 897264328, + 745067112, + 657537392, + 560852266, + 634337794, + 337560761, + 893579611, + 368188036, + 300182832, + 641421337, + 697016721, + 941767281, + 241220988, + 515766449, + 247070679, + 329698837, + 592286686, + 104348197, + 546227361, + 634155051, + 190116580, + 813943111, + 639902950, + 868531112, + 178021378, + 2448280, + 354904906, + 804782883, + 863690283, + 343318360, + 381654563, + 504082070, + 91902746, + 123148687, + 540951000, + 630424881, + 298663486, + 591749666, + 227645676, + 690211186, + 675834125, + 877462241, + 618069862, + 161378001, + 116296658, + 543019483, + 848816987, + 424345466, + 874893247, + 379509284, + 603480898, + 802238757, + 601823565, + 752595555, + 550713120, + 637674732, + 843784323, + 742176862, + 712179511, + 283406199, + 47948563, + 674533945, + 641600929, + 772053066, + 380257605, + 284019266, + 831604921, + 456904246, + 784735856, + 571475525, + 824173751, + 792991498, + 190537707, + 272635303, + 973320650, + 283472404, + 388861769, + 370326799, + 934049608, + 301148831, + 566105445, + 351830806, + 800391609, + 310274634, + 338338236, + 23844802, + 79990543, + 52698991, + 196927988, + 702995024, + 507010711, + 693143364, + 502752195, + 836814330, + 56696225, + 400550063, + 637616091, + 179544174, + 817741074, + 759434773, + 580666903, + 293174662, + 407469608, + 51310453, + 648846915, + 659313551, + 135017288, + 267882643, + 393484292, + 857911933, + 776428996, + 299407667, + 60948276, + 924612038, + 41804827, + 670287755, + 344388249, + 505838339, + 551803989, + 826211050, + 908755949, + 448515952, + 903953241, + 756564178, + 902949296, + 883806580, + 687260726, + 213650934, + 849181416, + 604526745, + 591191644, + 572852655, + 293025530, + 136346898, + 713776235, + 154384447, + 284548878, + 843940035, + 366946564, + 415403598, + 958827073, + 997052400, + 989794300, + 773225865, + 852768823, + 595164725, + 19152157, + 889512700, + 166163264, + 25512221, + 223515806, + 169621595, + 537337393, + 313305329, + 145114193, + 328910071, + 334699929, + 798455684, + 642150574, + 413642078, + 442604319, + 990795298, + 239023427, + 425729731, + 685718686, + 272439018, + 423771334, + 377768400, + 396497290, + 446360628, + 427756252, + 790204582, + 746511141, + 936361879, + 265236016, + 116412745, + 649124670, + 710948965, + 721631433, + 490255544, + 777872555, + 898019819, + 402859363, + 500387538, + 958123638, + 463980439, + 871487053, + 136092929, + 517622780, + 304855921, + 300593628, + 708381587, + 994671704, + 988234501, + 167138683, + 1179255, + 20854996, + 232888751, + 375657682, + 542158955, + 238145782, + 817363739, + 391328612, + 823445815, + 663406329, + 955990594, + 742481676, + 457670654, + 484902679, + 501951815, + 744344745, + 397590930, + 626509452, + 417428563, + 527257343, + 552592557, + 303621882, + 6076450, + 583849499, + 457693551, + 610819310, + 580913565, + 824468582, + 550177748, + 357623750, + 317382870, + 467366992, + 777992700, + 329539640, + 287954426, + 833292636, + 127870171, + 495122481, + 740468222, + 155146511, + 676781797, + 781706134, + 204942367, + 478370581, + 280420376, + 379932078, + 890316968, + 927421962, + 906620313, + 944940125, + 293721997, + 355603907, + 942436763, + 626144028, + 19847359, + 977880193, + 880713753, + 15647815, + 999209718, + 582115954, + 173069346, + 195006436, + 244431226, + 477109681, + 72544408, + 305296504, + 952529038, + 939462317, + 101868540, + 345069048, + 660429392, + 127425877, + 248557860, + 137213817, + 641789160, + 763061731, + 865107577, + 89387784, + 878983574, + 847286802, + 893106399, + 437437034, + 650821692, + 498106134, + 31245637, + 551489736, + 992758659, + 212139721, + 230306804, + 31960949, + 622465855, + 500503388, + 352210238, + 133051508, + 324555984, + 890136870, + 508273031, + 408930764, + 477200699, + 984043459, + 323331882, + 328685538, + 198514383, + 765127071, + 968994572, + 725917927, + 467404717, + 406549776, + 310646654, + 839249931, + 85875958, + 937590786, + 520682692, + 733644112, + 479673111, + 770290703, + 185211688, + 991789307, + 466328798, + 89522200, + 768258648, + 628337631, + 881746144, + 14306613, + 690076360, + 341729436, + 94453669, + 867485922, + 615769893, + 821430188, + 385952105, + 441002266, + 651360109, + 814401444, + 317273371, + 564932610, + 9904579, + 636164812, + 25615686, + 875653400, + 580902448, + 935284196, + 572466500, + 47999693, + 528401066, + 855324784, + 431626156, + 817202204, + 514095597, + 910827885, + 918314679, + 823170751, + 694234807, + 720910491, + 249560667, + 522303565, + 561817999, + 960685595, + 855252438, + 678052111, + 860917951, + 502261189, + 238390129, + 155704571, + 454279051, + 119093341, + 864614103, + 97222966, + 571846938, + 810556604, + 279402942, + 912171467, + 230509960, + 526208012, + 369913871, + 125045390, + 760793005, + 137086787, + 571818670, + 806974348, + 385397841, + 503521973, + 387083047, + 381272921, + 938512996, + 409128060, + 854959831, + 876940771, + 593513045, + 233599865, + 854815404, + 435059498, + 813650105, + 971638861, + 901723598, + 118541747, + 77437649, + 371805533, + 679297158, + 638122463, + 648723168, + 995745103, + 560056710, + 182170648, + 557442012, + 934884204, + 724264539, + 970467346, + 468130245, + 835854841, + 865719074, + 260951243, + 509544356, + 590600546, + 733332866, + 548285835, + 910736513, + 84776589, + 62358096, + 306530121, + 628467337, + 239605295, + 687483537, + 610703735, + 786586042, + 525290048, + 294182103, + 942080977, + 840571418, + 139439877, + 33688697, + 870049565, + 206001236, + 198189030, + 961484305, + 367564080, + 12835874, + 288475999, + 793451322, + 995502312, + 264237994, + 625376527, + 227858208, + 993168449, + 449983177, + 826104910, + 710164359, + 707669920, + 518085462, + 884336555, + 638129314, + 397826958, + 594658354, + 928662744, + 618383946, + 150541168, + 26962846, + 510537985, + 16069100, + 62301131, + 514036619, + 476465911, + 943096391, + 764722841, + 798453292, + 548829542, + 68109785, + 143301770, + 731801154, + 762742634, + 735940665, + 642042090, + 597783996, + 647814934, + 752296191, + 834262498, + 877308013, + 761342004, + 368675859, + 291536391, + 494832052, + 628768304, + 727852766, + 162663591, + 654764636, + 69873666, + 78662978, + 878252023, + 51636135, + 441401046, + 361282855, + 738983715, + 895988464, + 687045536, + 381985180, + 567957065, + 759777637, + 29023851, + 439002304, + 499762587, + 34467163, + 220579639, + 763651762, + 297286693, + 942102078, + 502445897, + 156628071, + 259537400, + 524949388, + 552082426, + 732484205, + 96568926, + 926150953, + 771014713, + 709877763, + 268834444, + 50622949, + 105528737, + 602645414, + 270026629, + 363070916, + 184885664, + 196947132, + 995422201, + 409555980, + 563326400, + 615250596, + 884349866, + 55273276, + 570114204, + 708639151, + 301617528, + 361919408, + 877761999, + 485488199, + 842780476, + 354098388, + 608327575, + 7948085, + 46905170, + 552859770, + 603940406, + 245542218, + 861058514, + 815998066, + 739445600, + 335174988, + 773725473, + 627671940, + 715983866, + 677643406, + 357027295, + 996134379, + 988529640, + 778127967, + 303111444, + 997480693, + 568034243, + 818862023, + 716296176, + 8981061, + 338899256, + 768929532, + 196985722, + 256017845, + 52211725, + 295206094, + 547165570, + 566040167, + 503803421, + 38772505, + 746121643, + 368874696, + 228927971, + 683395165, + 397329475, + 872180635, + 352460027, + 52034686, + 45070067, + 862285100, + 115395310, + 634246436, + 944832606, + 712814127, + 733833066, + 470578886, + 126987865, + 238794888, + 561922379, + 407957982, + 709695573, + 194249951, + 558831115, + 919319431, + 711876868, + 895947690, + 600835116, + 5322988, + 771669746, + 108946135, + 768789529, + 934811615, + 224434828, + 675015152, + 695905477, + 158667252, + 851556294, + 727562378, + 357200808, + 779272218, + 48693648, + 833159280, + 955183319, + 260133758, + 962127052, + 245634628, + 65063354, + 715524785, + 535640058, + 365946214, + 511763100, + 789635766, + 955254848, + 270795199, + 279525540, + 34671354, + 317180112, + 463498051, + 956222368, + 126848066, + 890613616, + 746896027, + 74709088, + 889609898, + 213811320, + 921153176, + 829892199, + 25774578, + 845016611, + 755418628, + 774366573, + 897439926, + 999428903, + 599669258, + 533488962, + 134638949, + 72295042, + 846672132, + 990439904, + 277414610, + 41841888, + 882698041, + 593502213, + 887537486, + 808125854, + 295701474, + 133020999, + 48934516, + 550210917, + 741983553, + 832064355, + 128786693, + 309774374, + 475631480, + 702556187, + 82363731, + 930160411, + 464675278, + 180458193, + 669718794, + 841857873, + 854568131, + 311504245, + 46352171, + 960994082, + 912301090, + 933537118, + 36766416, + 559374834, + 291144027, + 527290442, + 756746865, + 885803846, + 65420366, + 396986543, + 893570454, + 390077065, + 607007079, + 65611102, + 342751071, + 743106660, + 845318831, + 943040030, + 538457020, + 638291882, + 325448626, + 77277750, + 984708381, + 932058524, + 720262387, + 290178811, + 121196777, + 753441669, + 199200141, + 102188144, + 201013307, + 661347561, + 854964016, + 450620788, + 449753326, + 667452744, + 100396848, + 562249432, + 646785167, + 656846402, + 945635932, + 755476019, + 595518649, + 196766672, + 704706081, + 403232144, + 728070619, + 417534391, + 604362616, + 621011318, + 298129831, + 514768341, + 324504756, + 334204456, + 908382228, + 345896243, + 681892937, + 96725372, + 28288478, + 342786790, + 100397862, + 162655675, + 641416292, + 562959825, + 825509928, + 119556579, + 372127030, + 603959717, + 996001552, + 899812761, + 254851180, + 948148529, + 641895253, + 859743947, + 198958135, + 80355490, + 605245603, + 240513236, + 561444151, + 843384186, + 279483816, + 253933672, + 78246128, + 93711938, + 838578905, + 454021772, + 66762912, + 375577217, + 630141134, + 762731116, + 204519107, + 397220208, + 331094898, + 133518572, + 292311009, + 484583812, + 826186558, + 488721327, + 661286417, + 415474043, + 63303186, + 522908785, + 69186072, + 682719510, + 998059750, + 635525962, + 511348349, + 879627507, + 236199437, + 333331490, + 348610128, + 149110213, + 684697173, + 672248348, + 146213189, + 219857943, + 530518287, + 195171667, + 948094442, + 700656302, + 170718530, + 871470955, + 688340224, + 807928588, + 617491667, + 417113343, + 746350863, + 264813895, + 758717987, + 673937914, + 894092010, + 541353395, + 58143360, + 56557908, + 697381065, + 784953818, + 583885161, + 930338439, + 752341986, + 601298064, + 39040913, + 951768657, + 938184116, + 916150756, + 720518849, + 674392398, + 39202618, + 498614716, + 837685014, + 196882292, + 937030580, + 477486626, + 848752837, + 981723699, + 795491108, + 607295469, + 556932478, + 763713445, + 340015113, + 388586161, + 958938279, + 535430207, + 254613699, + 525829856, + 496723323, + 646256470, + 91393119, + 419285612, + 794970929, + 751057707, + 145509369, + 929210836, + 360169722, + 767901502, + 68402804, + 250243135, + 327150889, + 784370983, + 955474392, + 27652690, + 587923691, + 927009113, + 352205253, + 803056685, + 422280206, + 407348044, + 956338869, + 897536983, + 327030657, + 406725055, + 103338775, + 761523793, + 648057883, + 386379252, + 920414609, + 362055411, + 840484549, + 655893508, + 761232802, + 139633001, + 685604954, + 453668255, + 211407301, + 795084832, + 833724703, + 980624027, + 929768624, + 773211528, + 821933096, + 735034689, + 938664953, + 437342674, + 505114605, + 676900479, + 545316816, + 971720771, + 376925451, + 546493700, + 822166138, + 231335860, + 997324937, + 51089353, + 710787365, + 783290858, + 29102606, + 553151824, + 326590362, + 131082025, + 434247805, + 832141224, + 579070929, + 496767291, + 330470199, + 465321529, + 656587313, + 468108608, + 76973069, + 141069439, + 944758752, + 903978155, + 284655185, + 134626155, + 149696455, + 792546914, + 350358812, + 653737542, + 832978923, + 765561552, + 516765659, + 497824315, + 980436814, + 749914558, + 92336473, + 24135831, + 240263779, + 52445887, + 761691225, + 202495279, + 263226630, + 435657016, + 985971715, + 569184380, + 10670315, + 301504587, + 953486251, + 967877969, + 580582297, + 110492525, + 700102901, + 167067531, + 120231867, + 643977376, + 838702292, + 704747757, + 839695866, + 518982644, + 853638102, + 852584109, + 515578729, + 801176792, + 662175091, + 694233299, + 138830241, + 642920291, + 3771778, + 514875037, + 225409844, + 89165750, + 254124568, + 702050596, + 168609599, + 723336007, + 943656729, + 257717500, + 715507424, + 430273826, + 963618412, + 420328760, + 251431713, + 241402727, + 87126518, + 887171075, + 914194041, + 624022299, + 697716124, + 543370037, + 426588274, + 861937974, + 291875948, + 814449627, + 119075357, + 554537271, + 609175964, + 587437976, + 66897890, + 148011409, + 127543800, + 334028084, + 839105441, + 67216654, + 961130750, + 985685449, + 348007111, + 439755050, + 605672068, + 190596560, + 559795213, + 690630247, + 898964185, + 79085646, + 304379390, + 477499208, + 798992675, + 282557495, + 832113545, + 471861974, + 304901143, + 184258606, + 975086745, + 566155308, + 728010165, + 527325732, + 669719618, + 407921089, + 389241315, + 551104161, + 539813563, + 6506798, + 258400318, + 831877216, + 246566730, + 377031551, + 243914036, + 524770674, + 696716466, + 275284050, + 3744158, + 305972490, + 348569725, + 655733622, + 226255609, + 936640317, + 305582424, + 532352249, + 538780239, + 396963705, + 746079824, + 800621510, + 985028541, + 634956467, + 999438714, + 313214019, + 210715275, + 504734596, + 522272488, + 276193898, + 339333252, + 316159507, + 827777538, + 404511, + 373412213, + 624844419, + 103363583, + 622908077, + 179301439, + 549012827, + 392506821, + 665545683, + 515207001, + 62563746, + 60927088, + 974624914, + 62539899, + 602493548, + 883975212, + 321338858, + 710470967, + 218365254, + 189244642, + 702018159, + 875354499, + 825180266, + 779666231, + 988308612, + 381075183, + 892719287, + 279942287, + 556511052, + 228622161, + 315652142, + 954219659, + 742018849, + 241680472, + 529618305, + 8933814, + 794915293, + 207702274, + 595275272, + 885422280, + 254850412, + 185504896, + 915300609, + 193917588, + 160356309, + 921692641, + 40357060, + 567892738, + 232232689, + 159263923, + 245108324, + 911791358, + 465616485, + 8296737, + 725076321, + 633415659, + 695497019, + 850750237, + 703425692, + 711323824, + 391576335, + 836214082, + 186215638, + 472505205, + 881968389, + 509828434, + 150578706, + 94533780, + 465573745, + 334367690, + 328966707, + 22061494, + 86178716, + 420770704, + 115609362, + 267060927, + 83802503, + 524101728, + 40612967, + 24520086, + 4101101, + 442973024, + 178160811, + 372755093, + 228225013, + 486192871, + 620791447, + 969813012, + 853986445, + 843592080, + 627298019, + 205054981, + 508425718, + 535200878, + 766114139, + 62776973, + 869533654, + 243704004, + 841811692, + 136867411, + 73010518, + 433487268, + 165198298, + 802559780, + 986455328, + 435742092, + 110608922, + 436189129, + 397527781, + 440574820, + 849837114, + 759026467, + 440979039, + 487904246, + 848926378, + 72013264, + 629446951, + 287486633, + 564469920, + 342319085, + 941301495, + 184170969, + 11274716, + 677361774, + 295397427, + 805672604, + 752698059, + 836435251, + 926657751, + 104413984, + 24090721, + 810595632, + 218340693, + 259296732, + 265896322, + 518604846, + 938415160, + 829356750, + 277346667, + 741957993, + 567181608, + 641411451, + 467905144, + 903309100, + 275680565, + 508752404, + 144899734, + 471454438, + 36451896, + 349865293, + 13239527, + 42962529, + 946739010, + 198783189, + 790291755, + 491176344, + 390682005, + 750465729, + 971760660, + 857225958, + 229775687, + 317718567, + 329317953, + 368233939, + 111339297, + 259308738, + 971368358, + 558059011, + 622438081, + 186337388, + 899558844, + 201742131, + 236841628, + 863128123, + 441150365, + 99257840, + 853272183, + 847355108, + 633079057, + 164862179, + 844962371, + 917628073, + 200462954, + 797936691, + 282567297, + 290539069, + 869049780, + 456795485, + 420568615, + 434560790, + 876300997, + 795065136, + 437349548, + 605178698, + 256901016, + 853964140, + 490905702, + 66295656, + 439444905, + 177198442, + 898364849, + 291518030, + 28515732, + 199503407, + 229599556, + 252539721, + 106219886, + 403868944, + 881965300, + 873168713, + 72815588, + 143999370, + 2826093, + 277280192, + 561480991, + 788991056, + 442705751, + 854922784, + 529192545, + 569536905, + 289710788, + 745306595, + 136139293, + 835603732, + 126811268, + 168564423, + 937564167, + 101090314, + 951226330, + 96135821, + 816007059, + 358609069, + 778065673, + 645462422, + 500331020, + 145082796, + 714915509, + 364177462, + 332549510, + 583144072, + 922874642, + 641312519, + 515459533, + 608030244, + 144940595, + 836424354, + 907649413, + 337251610, + 875563838, + 960302720, + 53540678, + 597334451, + 281236972, + 601827522, + 218815975, + 456579359, + 99924523, + 274332457, + 798607558, + 393024863, + 155876937, + 880212564, + 515285757, + 972515866, + 240662088, + 480314629, + 638119683, + 980236267, + 277495537, + 921179933, + 165028445, + 612591477, + 641627511, + 802763530, + 789299235, + 334409767, + 467200516, + 680248848, + 362326768, + 237048199, + 820936738, + 344498019, + 502552077, + 474588289, + 755876997, + 261309370, + 718377667, + 391489767, + 528788049, + 712477560, + 671316714, + 67575332, + 370151912, + 199200305, + 712744074, + 777806943, + 974599348, + 365620272, + 874629263, + 489240177, + 9909076, + 195817063, + 138756879, + 498032485, + 914975855, + 861837770, + 932270905, + 849957738, + 280115650, + 830347169, + 419465764, + 890683419, + 852339798, + 908768764, + 105688457, + 683319820, + 556534531, + 109332587, + 400718170, + 155910708, + 47274964, + 506130433, + 205852542, + 932773618, + 160871180, + 579686907, + 744649635, + 336196184, + 514630580, + 315864478, + 227684599, + 330868371, + 837387613, + 192528527, + 414254607, + 305676725, + 74946339, + 709967307, + 702276239, + 20913925, + 73139724, + 552283874, + 280904536, + 179369719, + 788024167, + 949693725, + 840237145, + 511620589, + 426443482, + 831940320, + 297506106, + 706304974, + 968238058, + 810547796, + 212555071, + 833120839, + 57037685, + 88788643, + 469975793, + 177567093, + 251815856, + 488609105, + 637536492, + 747421048, + 86043301, + 104907235, + 259304280, + 305332132, + 800504653, + 827505212, + 235947912, + 157035786, + 762680689, + 501627794, + 641421845, + 214520658, + 330911620, + 112348813, + 486168408, + 80908449, + 146357047, + 588603774, + 922618833, + 790777531, + 328027076, + 373440832, + 876372212, + 336677425, + 442182997, + 158577086, + 872721279, + 941490172, + 192651100, + 950121949, + 920798984, + 130388246, + 863589845, + 19446199, + 327015466, + 840746181, + 431984306, + 179483013, + 755393712, + 713851509, + 48893701, + 746018419, + 883765073, + 504331758, + 772146176, + 492272017, + 820357695, + 96557021, + 181776954, + 810717424, + 849210412, + 539462837, + 143897315, + 656963115, + 718944886, + 503637592, + 848011186, + 639542206, + 91839929, + 163567111, + 766979571, + 929706502, + 530631158, + 984312871, + 323518456, + 360147516, + 652364881, + 82667630, + 701437760, + 561343444, + 884628159, + 800309479, + 114709057, + 996311855, + 191561700, + 835505038, + 785966849, + 195355266, + 335323656, + 677539884, + 813447989, + 642591856, + 440732280, + 243592343, + 539772141, + 448568103, + 368439, + 926285248, + 407496359, + 465644514, + 374977968, + 654827506, + 608940051, + 696145267, + 229953602, + 671488569, + 401866260, + 955620428, + 379557012, + 178148842, + 846984594, + 661771272, + 29992296, + 795765512, + 819535483, + 401510753, + 666044510, + 107998653, + 294570892, + 236077416, + 841667007, + 450022919, + 163798017, + 226820088, + 254389907, + 62878284, + 462315333, + 316403723, + 834036694, + 982580324, + 526159765, + 443185818, + 660846445, + 655471346, + 656236737, + 388712220, + 527999410, + 503115688, + 436033529, + 386566699, + 284855684, + 411923746, + 291591914, + 976780907, + 655086673, + 415214020, + 134176614, + 344742464, + 274113781, + 764521887, + 448455857, + 338619148, + 287736785, + 162069939, + 117767146, + 275269128, + 807980183, + 677592470, + 8904466, + 745460311, + 396784442, + 658191692, + 749474761, + 708722704, + 249625503, + 825965333, + 608221270, + 638051186, + 815263493, + 133260362, + 144562719, + 19128252, + 157197069, + 54085982, + 814875594, + 918774832, + 74595292, + 254206875, + 428777065, + 197076641, + 398703085, + 754236479, + 483148150, + 297604206, + 576962887, + 268988626, + 11444175, + 788397289, + 89084187, + 46440800, + 899715607, + 353773910, + 123897304, + 177489192, + 569151664, + 446858813, + 179152220, + 647193939, + 827142314, + 542051267, + 980309899, + 361641513, + 761723933, + 376737494, + 32352898, + 920581336, + 888733704, + 754344285, + 420471035, + 242320418, + 111758437, + 156354479, + 547979653, + 925270587, + 753842520, + 836883444, + 723807311, + 323218780, + 802348382, + 397097667, + 799371886, + 494599852, + 497658110, + 160882593, + 159581809, + 925697188, + 334721938, + 778808286, + 983803792, + 776609535, + 346172535, + 918514437, + 342048235, + 32592503, + 959538230, + 195752510, + 744200025, + 394958806, + 307067966, + 353056174, + 33357541, + 938719452, + 452487831, + 953736525, + 91538788, + 835321933, + 14662852, + 443620109, + 14095416, + 144582334, + 994428952, + 221370093, + 103816330, + 98298082, + 112446481, + 600099800, + 711657368, + 795741820, + 633351938, + 726944813, + 878378807, + 816659384, + 893894872, + 170387843, + 101248467, + 780188561, + 232870519, + 100191210, + 701316031, + 934916654, + 381443339, + 271151078, + 16061899, + 555248202, + 384163349, + 243688415, + 186707724, + 181546269, + 982881862, + 793197865, + 157356563, + 294952851, + 712296288, + 512313225, + 524785900, + 509117492, + 580503429, + 54443948, + 471755345, + 231945366, + 898195979, + 577138597, + 665437838, + 542329524, + 636620541, + 800157571, + 442215366, + 763596409, + 753082067, + 547805195, + 28688727, + 805401858, + 247541501, + 994492692, + 793923218, + 237178686, + 23781941, + 892887311, + 987643794, + 512890155, + 563210268, + 711766615, + 179719485, + 212756355, + 73742432, + 382040913, + 774234845, + 205608438, + 854970604, + 164895028, + 685227628, + 372574990, + 925276444, + 625419536, + 924633282, + 760830483, + 193763574, + 322690107, + 110547838, + 390319102, + 9764992, + 666607406, + 596902685, + 704233813, + 860078670, + 276497234, + 539034905, + 496237162, + 842637053, + 419044945, + 855505890, + 433189403, + 566312060, + 757874013, + 292867504, + 505535174, + 579310212, + 629836768, + 519980530, + 740237456, + 785080121, + 182857255, + 193003601, + 306125131, + 760482231, + 221069619, + 23281586, + 50951787, + 627041767, + 394223034, + 345040045, + 522402810, + 559968319, + 967357821, + 722768843, + 308243634, + 356074991, + 138330983, + 206517606, + 504999298, + 316690866, + 781787854, + 730038089, + 443241546, + 827104287, + 887527553, + 994389013, + 123938452, + 826720655, + 875655865, + 40096583, + 35868985, + 70578375, + 413040676, + 734511721, + 595441334, + 217820515, + 488429076, + 701007791, + 373237357, + 959452237, + 823054378, + 446916771, + 794794712, + 45757616, + 324422755, + 893130620, + 929906956, + 152967620, + 319906422, + 968499608, + 242568569, + 136420576, + 519451491, + 855656183, + 209941780, + 915420147, + 659835020, + 258855951, + 614218773, + 390749259, + 809895336, + 69838226, + 978080798, + 4451337, + 229525206, + 378006841, + 235753620, + 581779628, + 599071430, + 634992492, + 237514092, + 572161015, + 861061659, + 507824284, + 288165143, + 544004313, + 267451446, + 912100705, + 94788648, + 183437500, + 753406036, + 12432273, + 684497887, + 213046242, + 264929465, + 87924610, + 400802719, + 714474667, + 383870118, + 953745055, + 773467227, + 751995346, + 835241369, + 803242010, + 75760351, + 706632759, + 914426041, + 849689741, + 626645148, + 387408606, + 522871455, + 503465847, + 1729239, + 204875998, + 724580790, + 548482794, + 855194613, + 677692557, + 382042476, + 136310466, + 100902360, + 394146739, + 559463761, + 41107191, + 619307704, + 451782019, + 722842261, + 149202340, + 527929095, + 343327334, + 920041714, + 219151741, + 317773804, + 458774067, + 685976648, + 633156451, + 777288513, + 659875617, + 620734796, + 8115781, + 558904445, + 330699046, + 297100803, + 554252897, + 339945449, + 476136590, + 882302308, + 195207157, + 752030133, + 272891517, + 328986697, + 251616238, + 664269252, + 196420510, + 805880467, + 854818014, + 210756638, + 249295726, + 428617938, + 625638643, + 730338466, + 665259552, + 913610988, + 922224435, + 935479998, + 860773135, + 995955771, + 24363542, + 344616096, + 947868060, + 480512930, + 152612131, + 622120017, + 124009538, + 502111162, + 592556549, + 131060674, + 857640290, + 874666726, + 597017294, + 215423175, + 556002744, + 335166160, + 904169195, + 903512268, + 642377639, + 212574978, + 744202703, + 934083146, + 680193481, + 861236406, + 38755038, + 625549379, + 251133749, + 522494355, + 983260803, + 307833018, + 951707517, + 7343783, + 879548077, + 326575680, + 13266689, + 618129471, + 367182622, + 761849392, + 298946502, + 74787955, + 276543890, + 128396197, + 513046135, + 680524730, + 734006661, + 792220202, + 450212445, + 893453299, + 403043622, + 403904202, + 219848345, + 157546738, + 143047633, + 520125776, + 127098725, + 862051562, + 134306797, + 259182772, + 952689403, + 756217931, + 849226779, + 861479970, + 407907674, + 278948920, + 846587045, + 967091984, + 268524589, + 640266995, + 933732723, + 534333384, + 63235519, + 373127757, + 569866842, + 536893168, + 618479535, + 529273212, + 774455488, + 418720659, + 344864787, + 639182936, + 893706288, + 370166368, + 828943588, + 183280054, + 280052755, + 143907082, + 831798117, + 51252617, + 866280316, + 29391423, + 894713479, + 47363760, + 709241223, + 178544838, + 171614155, + 836965301, + 580863284, + 692624323, + 662495888, + 175860559, + 593046462, + 312427681, + 440879106, + 160234840, + 759852789, + 475589953, + 67835563, + 223830146, + 36253693, + 857787674, + 743318455, + 842785511, + 595012565, + 537718550, + 247268777, + 688942075, + 50901933, + 408962850, + 79257096, + 903182629, + 493630287, + 82240673, + 666667994, + 515728885, + 143243634, + 124009221, + 348078864, + 900397983, + 713628455, + 752490658, + 767118452, + 120968954, + 376516280, + 362803549, + 567928938, + 131544933, + 615274934, + 189237423, + 752629039, + 779423227, + 937898757, + 431610733, + 888481298, + 777958954, + 3772096, + 997084290, + 251486732, + 267646194, + 886407238, + 400149833, + 675847101, + 289977692, + 586440003, + 965753275, + 190138075, + 473771493, + 741250386, + 853379567, + 546504436, + 385408901, + 905068910, + 514152059, + 357123269, + 766383861, + 171671325, + 731494758, + 863186618, + 800420383, + 195468904, + 707940452, + 634343068, + 184648244, + 920607596, + 180660510, + 540353755, + 524174021, + 987969893, + 660594493, + 502504720, + 239235074, + 317492939, + 600247330, + 542988347, + 993254229, + 177307708, + 679297616, + 787255843, + 368037692, + 403728984, + 862267268, + 728021653, + 436335289, + 561946925, + 294414990, + 120604902, + 216268433, + 558629722, + 308355883, + 688752881, + 742786498, + 465575636, + 455544983, + 780087046, + 319661645, + 431726641, + 405090230, + 852955131, + 493880700, + 74595975, + 170584942, + 299050742, + 518414702, + 605125202, + 935908407, + 909598635, + 81898604, + 928657277, + 685835291, + 901735937, + 412609179, + 950570473, + 738222487, + 491394226, + 304634203, + 404540954, + 228423653, + 538899781, + 267848758, + 769219690, + 696890279, + 495687599, + 698531125, + 54264632, + 67548286, + 650572968, + 985402864, + 760108730, + 593032848, + 555231717, + 949425112, + 747102551, + 494610245, + 887570291, + 691230408, + 833036030, + 115079861, + 424798710, + 125968155, + 374783846, + 151915334, + 359222259, + 845575540, + 405534026, + 670244493, + 519851063, + 951660848, + 945236610, + 54872024, + 741906152, + 44655901, + 352336743, + 586772229, + 990520565, + 966938820, + 593727091, + 889281087, + 581663579, + 169510, + 747328881, + 400448899, + 479154834, + 686325590, + 459304478, + 722066541, + 335417196, + 98275071, + 361367558, + 326683862, + 173569818, + 836694299, + 219038141, + 91650008, + 953673022, + 598888866, + 364291302, + 45150675, + 690194250, + 841648058, + 520655873, + 761978087, + 789020790, + 84838839, + 155741394, + 452635457, + 187666921, + 802402775, + 975660920, + 909167547, + 769476319, + 436769058, + 669150326, + 767354272, + 475024577, + 1240102, + 667815512, + 39408234, + 377346150, + 798680526, + 926737793, + 14628095, + 691460568, + 66239560, + 885116470, + 220468129, + 946508311, + 524054958, + 811121729, + 68017249, + 938921694, + 513449358, + 330071777, + 950474895, + 953684618, + 848714612, + 957459069, + 500039640, + 128637637, + 97127304, + 100095193, + 524635402, + 850509084, + 291688432, + 660856444, + 921667524, + 248997293, + 123121241, + 510057096, + 224626672, + 521573178, + 273462494, + 452256140, + 4055520, + 390275419, + 921264594, + 422278561, + 102047182, + 20554424, + 51293195, + 245093644, + 407149180, + 925690102, + 520245031, + 919073486, + 751701716, + 135206552, + 789303604, + 87105066, + 373680962, + 789135409, + 454036279, + 627942981, + 924865253, + 312139381, + 152771610, + 49407893, + 488882074, + 587008901, + 465960235, + 265116692, + 155758580, + 30509290, + 273337605, + 189109861, + 142854504, + 49035427, + 674270223, + 349238696, + 681997226, + 6203812, + 236039496, + 4241982, + 448518696, + 181043515, + 337989413, + 469422763, + 8746846, + 404507295, + 572142400, + 521897837, + 572711705, + 52706405, + 41200275, + 829782735, + 798684437, + 153476329, + 77204318, + 384520567, + 243417784, + 765459794, + 323189912, + 748247311, + 440456663, + 955883508, + 182914326, + 744610157, + 841448884, + 376612938, + 760561700, + 652218625, + 845134273, + 54936426, + 206011691, + 370738980, + 570651447, + 746960097, + 694717876, + 279158420, + 478964424, + 692136995, + 222525178, + 819192097, + 458784290, + 367166537, + 240148067, + 583025415, + 876173110, + 905946779, + 756825527, + 760735350, + 489436035, + 670991439, + 515957368, + 365398856, + 708070110, + 713445500, + 777624352, + 897561217, + 91129301, + 728049700, + 782302035, + 998276014, + 630413315, + 683950393, + 181443365, + 796518034, + 127543039, + 806821145, + 552317928, + 423164292, + 48893362, + 212925868, + 568109701, + 479181840, + 226400581, + 358922000, + 708316350, + 963868441, + 162647428, + 345951633, + 403125558, + 253569382, + 806938814, + 274682382, + 146101202, + 876863834, + 370207321, + 538965902, + 248123947, + 150724922, + 277452362, + 169740630, + 930282512, + 391436449, + 239357919, + 308727784, + 170868534, + 747340543, + 733369172, + 229884628, + 476981602, + 243879274, + 468470738, + 780243521, + 294536240, + 902801220, + 933012609, + 908906117, + 646633730, + 917488309, + 225841513, + 854494839, + 192084228, + 231109777, + 660040991, + 522476308, + 950017555, + 390620771, + 278533750, + 992481517, + 698504522, + 509835189, + 129087413, + 633710917, + 16933368, + 753910721, + 539931663, + 20346082, + 590571682, + 294645497, + 726375855, + 216212909, + 414015886, + 32597803, + 28668272, + 446679320, + 422154640, + 270059626, + 991070652, + 730206614, + 424632321, + 882637673, + 473703010, + 649015504, + 889191062, + 347572214, + 921661337, + 651477777, + 182399655, + 317500126, + 766906332, + 668128116, + 663392617, + 957301072, + 746148302, + 852604785, + 180017638, + 731166389, + 353106492, + 908401599, + 413236400, + 812515656, + 22411953, + 766521031, + 564514165, + 722241718, + 191764041, + 115647844, + 444433391, + 32239772, + 710675047, + 169017470, + 155364053, + 902210281, + 546095837, + 917184986, + 601233657, + 27182138, + 238360458, + 964160462, + 959276609, + 771590866, + 996640454, + 905369934, + 610244021, + 699393057, + 513606210, + 883829028, + 244178150, + 519040379, + 723129320, + 470753376, + 473528252, + 879745059, + 596595560, + 397897423, + 467492083, + 921099332, + 880769847, + 271291500, + 657414872, + 454981422, + 532480930, + 314577755, + 940795090, + 765646340, + 274724207, + 314077446, + 876069884, + 751563425, + 926995865, + 257714606, + 944861989, + 113599099, + 150005398, + 971439806, + 830793982, + 39120374, + 396450381, + 378057811, + 996148710, + 611278782, + 518656498, + 649374468, + 973899284, + 977336521, + 481414473, + 366341789, + 661000026, + 194207183, + 627034979, + 96981609, + 895049463, + 334305899, + 744419888, + 455142153, + 446588904, + 679797473, + 873160251, + 653843571, + 769966969, + 832290286, + 32902901, + 868343108, + 770515251, + 230276019, + 205951235, + 195454041, + 546286386, + 204371028, + 589218473, + 895920105, + 850783613, + 761761197, + 345638863, + 318342676, + 927633712, + 753193876, + 886211002, + 510963519, + 124885556, + 884570341, + 157638712, + 590178653, + 98945377, + 179808775, + 536235030, + 937568974, + 288712975, + 948274886, + 331881550, + 634353857, + 757393355, + 673292867, + 516125830, + 31016642, + 414063610, + 744566339, + 119299730, + 257348501, + 662277552, + 677976210, + 632514767, + 714022595, + 356463512, + 445835172, + 81112790, + 60822693, + 263284653, + 279148857, + 408619834, + 365426834, + 613869908, + 518460288, + 856929592, + 835542313, + 743906765, + 689328836, + 348966221, + 178233141, + 946484780, + 83300550, + 617207220, + 424121271, + 775408201, + 948766486, + 572270908, + 665503795, + 420516896, + 568600027, + 496372718, + 59805556, + 159753333, + 439754766, + 774779166, + 665732821, + 513252321, + 165813046, + 427552777, + 501248545, + 986746273, + 614019304, + 662789410, + 433093032, + 514183858, + 595142926, + 267506055, + 743242572, + 668053761, + 122006443, + 242475971, + 260320454, + 486761238, + 696471514, + 741174514, + 208470595, + 709524602, + 745688379, + 721395404, + 905013656, + 488037690, + 961898348, + 393301049, + 957946703, + 318273541, + 356614873, + 683240152, + 86339491, + 252242303, + 94772817, + 686975064, + 218819388, + 222598502, + 793847592, + 942507782, + 379082810, + 87699605, + 90765238, + 505825969, + 574261670, + 430246184, + 111393731, + 138889203, + 553104504, + 362692526, + 262002398, + 198327426, + 355650958, + 614774966, + 75930059, + 37748405, + 869753293, + 720137860, + 290784528, + 658712397, + 154138801, + 75545878, + 282424477, + 437472567, + 583073375, + 883778440, + 120452853, + 905154520, + 389495379, + 364552523, + 671337402, + 62006873, + 559141277, + 723930066, + 294170345, + 441937041, + 695763151, + 789022551, + 873471553, + 727356072, + 943602610, + 869219821, + 546139355, + 333760421, + 490314792, + 404718155, + 530598927, + 10561213, + 1655766, + 660561122, + 957123195, + 102888535, + 523370502, + 19913423, + 340470814, + 614001199, + 894493343, + 643584745, + 724740996, + 347205444, + 868462978, + 934462456, + 71233720, + 192820269, + 341894863, + 483575442, + 363793392, + 615703899, + 41530426, + 610643618, + 711175407, + 315383461, + 470124807, + 549500251, + 387619570, + 39353463, + 74161946, + 257432427, + 598957091, + 79122299, + 515605309, + 171144850, + 222467704, + 876312958, + 869008144, + 906359354, + 991046768, + 887358959, + 2998062, + 42244682, + 606802457, + 820435030, + 945278257, + 348174532, + 197265660, + 856048928, + 137005063, + 200412656, + 219275767, + 655118783, + 379829483, + 82033627, + 823449813, + 433771475, + 35616642, + 803939391, + 778527095, + 384390971, + 993844785, + 613163457, + 145936581, + 69209030, + 645028096, + 793305241, + 149351846, + 182304576, + 12578038, + 745135666, + 479011947, + 937781590, + 573695512, + 172145588, + 753876254, + 159388559, + 901067010, + 212489162, + 46282452, + 789315904, + 549845880, + 297953397, + 296966148, + 245394344, + 915256516, + 105541877, + 616629881, + 752031544, + 859862792, + 774746839, + 720778857, + 449118578, + 176251278, + 713918570, + 650596473, + 681705411, + 840538642, + 337062281, + 363127289, + 74395005, + 72504180, + 793721771, + 752608346, + 87047545, + 851317275, + 611117093, + 284968102, + 465771374, + 63277870, + 547255317, + 800604665, + 447471624, + 692163811, + 947039758, + 244037322, + 817926984, + 837787465, + 156086647, + 38022451, + 812879600, + 585916860, + 966561067, + 112852263, + 961926386, + 587938845, + 725168147, + 506505927, + 581105151, + 816047833, + 8301876, + 154807495, + 962733270, + 88957551, + 649268502, + 833104028, + 574493744, + 321080055, + 947734638, + 680301625, + 404047114, + 182546184, + 885050286, + 286814353, + 2185749, + 403312728, + 656366850, + 127723420, + 986602305, + 25265407, + 467338417, + 766081880, + 206507203, + 548629610, + 755640445, + 943757217, + 955201728, + 793809133, + 678977614, + 785091445, + 224179967, + 574428045, + 187276613, + 212216011, + 476993387, + 330661161, + 947227302, + 783505883, + 330122322, + 872326336, + 639332590, + 867007043, + 536251238, + 574261285, + 93741686, + 377476997, + 656432266, + 87986425, + 681180316, + 341937178, + 597909811, + 261930500, + 945645394, + 856226259, + 103829619, + 706837737, + 525494369, + 487643794, + 299100051, + 673781646, + 488944536, + 831900591, + 823626397, + 874546888, + 582111677, + 312106010, + 961333147, + 341349702, + 576227641, + 345038902, + 820709580, + 95910474, + 742330081, + 236433005, + 863855223, + 955053645, + 18955068, + 765990187, + 604595588, + 90773005, + 579390670, + 804286690, + 424355703, + 392307454, + 509890995, + 944483786, + 503989989, + 72616422, + 373958548, + 685627523, + 368543567, + 649617295, + 473788300, + 802095688, + 365984053, + 589279509, + 267911886, + 83021921, + 402997984, + 163397157, + 752367138, + 63736686, + 245444917, + 502356088, + 722780469, + 671373429, + 951560541, + 431510277, + 728323178, + 316091121, + 643170117, + 466419457, + 196685183, + 123538430, + 133895657, + 749004938, + 873324928, + 33141694, + 861230019, + 724775758, + 691914652, + 940196512, + 500792776, + 116815233, + 594381666, + 177571067, + 621827302, + 333167191, + 24518101, + 41413284, + 985835482, + 253500590, + 131041651, + 47425430, + 283229398, + 526393103, + 426116867, + 804368179, + 967914538, + 125995, + 513875641, + 131545703, + 714140748, + 263719060, + 434528109, + 723135746, + 277656880, + 924060868, + 999414453, + 571799130, + 771451146, + 82088849, + 23304534, + 746797883, + 222291299, + 48003783, + 650928365, + 282129789, + 792408087, + 867699649, + 672170461, + 637690370, + 587971474, + 751450500, + 240910046, + 859915261, + 476689021, + 515299494, + 268851858, + 162318380, + 757549326, + 432181018, + 395410942, + 648953140, + 372661969, + 299889815, + 597419089, + 574247071, + 446836127, + 321471354, + 251867548, + 750304051, + 98016586, + 952207722, + 191611246, + 939564147, + 642666568, + 250773804, + 644257420, + 100685236, + 745432999, + 807123894, + 476509621, + 783167225, + 673158218, + 576445771, + 222794393, + 162270810, + 122510261, + 531129174, + 805902143, + 410790143, + 713749862, + 796224386, + 28950555, + 530345152, + 447456316, + 989753525, + 578911610, + 158583159, + 446332158, + 545476761, + 848704269, + 727022531, + 320462380, + 891327663, + 586601136, + 314131798, + 392740852, + 898516130, + 252751982, + 312667117, + 363303407, + 541386308, + 865143620, + 182257351, + 580193362, + 802275639, + 824759852, + 525439636, + 388098228, + 203398436, + 752045221, + 369779165, + 386862766, + 576989726, + 652408367, + 382023340, + 801511857, + 203692190, + 48505396, + 665792738, + 628258887, + 970107321, + 456581835, + 637089456, + 479399978, + 762098105, + 949752544, + 247484042, + 665546735, + 53578362, + 72409449, + 207886600, + 272963010, + 852085119, + 349199065, + 997446837, + 132110651, + 483227889, + 841775473, + 904714774, + 637153119, + 461450708, + 866296057, + 869699720, + 871945485, + 252634706, + 165916156, + 25419359, + 727507135, + 306169115, + 719111750, + 569152385, + 211911820, + 593314160, + 635763587, + 612017494, + 249834684, + 791446420, + 969597938, + 792215812, + 486059857, + 418816021, + 854883057, + 741272462, + 307090607, + 545227223, + 616807784, + 695520764, + 157825147, + 55509894, + 54710947, + 401051742, + 473681414, + 944705836, + 921281938, + 827728454, + 303228186, + 54022369, + 583885208, + 663372368, + 314649148, + 18330942, + 277414561, + 379063829, + 374890745, + 647224851, + 218624519, + 413977447, + 192128488, + 709650413, + 797742594, + 188326760, + 499040377, + 290456690, + 868918357, + 750120637, + 92502220, + 908241898, + 293404537, + 19540918, + 735762928, + 116535022, + 796352966, + 934971322, + 549772703, + 386513135, + 329675703, + 906195310, + 344580588, + 655507149, + 261342670, + 691907379, + 621894058, + 625898307, + 967726115, + 9506399, + 13894509, + 642691464, + 843466097, + 913057040, + 304446047, + 657632942, + 733974725, + 679099910, + 118478591, + 62437861, + 371440432, + 740846538, + 314904295, + 251969414, + 981295152, + 937476158, + 67969020, + 56926822, + 446274134, + 197867013, + 750491124, + 724167695, + 618650134, + 91124791, + 795024561, + 782726988, + 610955009, + 73229578, + 908259936, + 861284216, + 42684369, + 565533247, + 313307291, + 908117302, + 351066919, + 33239469, + 368494655, + 349932206, + 326267105, + 777069220, + 949141388, + 646619187, + 652104188, + 659108573, + 613979572, + 519970523, + 896761232, + 581141366, + 507251213, + 614134550, + 281389976, + 762692361, + 800521517, + 614476007, + 84739727, + 417597618, + 473244106, + 392515412, + 842326800, + 76899402, + 179857924, + 135067205, + 159035886, + 891228001, + 545556682, + 753058673, + 713208623, + 299539686, + 693010361, + 964493849, + 28068328, + 926702974, + 162495044, + 110731502, + 827530711, + 219214657, + 437739407, + 265925030, + 741645973, + 291552034, + 961403175, + 268381107, + 123526437, + 345563092, + 375371427, + 671887685, + 529128824, + 403941709, + 829345245, + 680157649, + 271988229, + 822422384, + 744333955, + 583108432, + 851826443, + 775330832, + 70470292, + 123379714, + 369449503, + 846994471, + 384764634, + 138473055, + 99875115, + 137296701, + 961097037, + 654124429, + 881782127, + 817704544, + 236943234, + 65069868, + 850201763, + 687215016, + 72518897, + 827718835, + 855601984, + 331061912, + 995218631, + 344980723, + 485754731, + 692377712, + 265864576, + 176031367, + 874185570, + 829201611, + 498816735, + 729062668, + 230573439, + 832506515, + 344535764, + 918813240, + 358594145, + 461637754, + 4074483, + 376639845, + 640937829, + 257651751, + 255618037, + 701840512, + 291789657, + 645080074, + 846832358, + 295880587, + 570776882, + 763833156, + 757574934, + 571754010, + 470087913, + 397175663, + 261004695, + 267569676, + 96886704, + 365446329, + 334423528, + 122846927, + 219803984, + 288277520, + 30005991, + 423214481, + 706769011, + 886131332, + 428671501, + 701919854, + 917312345, + 819274147, + 232048440, + 532663351, + 26612983, + 648436633, + 89617310, + 744258122, + 540694038, + 71300066, + 469029651, + 115578805, + 818513700, + 176350856, + 485844976, + 26542856, + 51908940, + 92134759, + 372112087, + 257659731, + 711577965, + 424012070, + 638424167, + 185205609, + 299932715, + 135648636, + 770150606, + 992311672, + 384359187, + 6314245, + 435080047, + 919662150, + 733393941, + 976395414, + 439370250, + 763603894, + 701495011, + 719402320, + 293600071, + 391596044, + 36937169, + 985246774, + 918964476, + 295079198, + 726364368, + 955987565, + 745590535, + 60071943, + 448622840, + 16355419, + 803631002, + 348023011, + 258913618, + 40210488, + 67483000, + 795675437, + 129354431, + 198172990, + 736735054, + 916407434, + 92381533, + 717064368, + 957434693, + 158049568, + 4026733, + 596285400, + 31160033, + 401877756, + 896552089, + 161288612, + 284432964, + 77730185, + 71374632, + 147745860, + 149376058, + 558478618, + 125708246, + 582813515, + 283714928, + 939386391, + 786369308, + 48007517, + 496577379, + 865930736, + 265086092, + 545035943, + 398122240, + 838068375, + 91843685, + 662420646, + 665214562, + 151213794, + 324608622, + 797196930, + 135862821, + 653056181, + 12054646, + 817436559, + 556914381, + 613263381, + 735121997, + 310657433, + 903410263, + 610863497, + 694311387, + 597459204, + 122168567, + 409246243, + 126030708, + 476919633, + 781551419, + 38237327, + 466755438, + 172987115, + 948450172, + 950565806, + 919799338, + 811451726, + 892843954, + 121019450, + 971918178, + 366472010, + 880539528, + 926002533, + 841147378, + 629584804, + 425321941, + 44427657, + 474185481, + 782303056, + 605971090, + 279027766, + 182544206, + 323951367, + 885627018, + 643868531, + 26036143, + 794586594, + 313312796, + 644735878, + 370759302, + 303716918, + 645740256, + 947883099, + 804812889, + 820590077, + 918489339, + 721503268, + 365478558, + 299305986, + 209907412, + 730608442, + 206613969, + 453180033, + 660718401, + 712985456, + 792820281, + 440369194, + 588452859, + 525355316, + 447586143, + 755416500, + 184099262, + 601680342, + 936501763, + 168354080, + 351198187, + 270615434, + 118281395, + 487197805, + 606971477, + 422710473, + 869408144, + 58362397, + 398455366, + 921993621, + 302548509, + 940916216, + 595126323, + 351550489, + 813117855, + 197350801, + 505510241, + 652647209, + 676400268, + 873083195, + 254842234, + 737119113, + 981538986, + 216184867, + 38984402, + 603641084, + 356706006, + 832542210, + 701629353, + 38966880, + 934486007, + 222648011, + 524034106, + 679401823, + 42995380, + 960887587, + 322968955, + 837481611, + 505458966, + 837205523, + 310958291, + 834218518, + 188087320, + 882530642, + 339309318, + 5548886, + 774186365, + 55126581, + 153329408, + 921843297, + 962838481, + 37318557, + 316558658, + 405898964, + 302179009, + 895008428, + 704980201, + 115692980, + 616289619, + 30105671, + 422470965, + 372147688, + 408975359, + 834374490, + 128690535, + 238091114, + 300107469, + 653235283, + 258696689, + 723754292, + 799250810, + 421436297, + 426875724, + 627379467, + 316862194, + 212861259, + 292567870, + 72587094, + 107057928, + 625158626, + 354465924, + 889605769, + 535516522, + 122320974, + 780222492, + 155762412, + 78838290, + 542993075, + 783741614, + 114846801, + 191170335, + 618906683, + 833549087, + 978333073, + 325730972, + 973008, + 554376578, + 185567868, + 631064278, + 504426122, + 703966597, + 879759001, + 668378942, + 267525919, + 373125639, + 800582130, + 554317752, + 453395563, + 253144815, + 871047699, + 440162809, + 762511470, + 246795969, + 3579179, + 198432037, + 729627349, + 183011607, + 81956275, + 177823323, + 969874865, + 289999843, + 768770324, + 308152815, + 951109195, + 587550959, + 787866073, + 971240919, + 455934360, + 105520866, + 154224933, + 488503671, + 467933927, + 803585114, + 287435763, + 520722140, + 166885373, + 8939219, + 793981255, + 990581313, + 584048593, + 894308833, + 175327895, + 268133876, + 783004518, + 374119071, + 509002841, + 342607118, + 610283614, + 202107234, + 832545698, + 787162571, + 380143043, + 658455643, + 642195185, + 421062846, + 687232705, + 542563480, + 413958315, + 13354060, + 561120305, + 191377378, + 148778803, + 879879478, + 345584778, + 265107426, + 473617101, + 733407333, + 245029493, + 727291088, + 351145573, + 221766210, + 297243697, + 589953149, + 122058881, + 793146176, + 871389499, + 23008782, + 103066808, + 54969358, + 337834797, + 796335826, + 380660881, + 592741120, + 290920908, + 110097776, + 273945345, + 870191289, + 199250902, + 191897106, + 929821734, + 726201181, + 336579445, + 281945530, + 779486459, + 834732610, + 296483037, + 115386994, + 801314465, + 90005670, + 242641004, + 498780797, + 650934937, + 829729989, + 6250055, + 101062684, + 510419173, + 935009964, + 469728953, + 864435170, + 297382689, + 641711338, + 792558054, + 569088398, + 632214889, + 19529133, + 673514825, + 570700647, + 372659095, + 995517719, + 504625940, + 680827544, + 545368950, + 139757300, + 330475496, + 822195600, + 608280164, + 836918854, + 257080794, + 547138487, + 128477153, + 49950962, + 260424626, + 949002067, + 539697789, + 234867684, + 932434259, + 617144487, + 214506720, + 310608065, + 487426512, + 938616751, + 694102541, + 882031404, + 801767510, + 330399357, + 882424482, + 619783792, + 957319597, + 36837235, + 126289994, + 857124975, + 167158044, + 42202751, + 207618356, + 60578422, + 210951858, + 807769611, + 622706717, + 43516881, + 699573099, + 69431193, + 433951490, + 807351713, + 188505355, + 930082086, + 739657821, + 575015213, + 648746156, + 388392514, + 783664814, + 146620680, + 393808379, + 676070677, + 800329032, + 443080813, + 121171833, + 582628487, + 822863124, + 766830521, + 417848240, + 880487242, + 496710183, + 345637463, + 335913816, + 334488710, + 539291505, + 846870684, + 573024946, + 614748148, + 278225405, + 197956896, + 415867284, + 474940220, + 228240667, + 401282812, + 145136335, + 850879366, + 860862769, + 674030433, + 898699841, + 967407218, + 662617711, + 260188718, + 932013762, + 626485223, + 710311892, + 919647569, + 884764728, + 239049497, + 934246996, + 307796244, + 279059173, + 863502994, + 842756157, + 270302447, + 56130784, + 486427142, + 760955528, + 666183411, + 497727643, + 752235514, + 659196962, + 236376464, + 691304709, + 488308301, + 689772466, + 752922075, + 896850820, + 432766454, + 900536164, + 420451421, + 142067254, + 888162318, + 202914887, + 520189869, + 252528423, + 896148461, + 43309874, + 428623004, + 797848884, + 284223150, + 970300636, + 276153878, + 648219937, + 806889623, + 215699788, + 414960170, + 647343680, + 238556322, + 66819800, + 253863080, + 990816576, + 423965666, + 283460600, + 295864556, + 246515325, + 334535465, + 185680846, + 578869785, + 643925029, + 537303246, + 140796824, + 689568371, + 736265660, + 846745205, + 606636577, + 262227356, + 402192667, + 748165969, + 278305242, + 216308487, + 274764669, + 208516067, + 732852660, + 139190700, + 722946743, + 615041488, + 113938777, + 739573071, + 76085666, + 846167554, + 624831917, + 885508544, + 553645561, + 757273194, + 72797776, + 61337061, + 710864480, + 888834643, + 430217005, + 596819200, + 595973776, + 47590668, + 792272784, + 601856027, + 9053409, + 480606165, + 976467583, + 93304345, + 673009343, + 326872034, + 894337989, + 32740638, + 369059188, + 607650689, + 325167476, + 852837395, + 760362711, + 463437657, + 222280471, + 836898076, + 390258311, + 458812261, + 630259595, + 669545286, + 83700780, + 652489418, + 783383001, + 664659386, + 999119745, + 606554486, + 646490719, + 549950799, + 890518905, + 634425247, + 303549941, + 828537048, + 297274988, + 744411503, + 162456648, + 844079218, + 697602220, + 738468053, + 702546518, + 664229719, + 298094871, + 408468596, + 358906145, + 175057725, + 428280163, + 123494983, + 391145240, + 174527561, + 919408225, + 425567432, + 425694693, + 352398821, + 651850835, + 116615953, + 850325737, + 20890832, + 300926530, + 486196326, + 576737184, + 84930926, + 544794690, + 373186036, + 914998246, + 552748274, + 270597679, + 715147765, + 52825746, + 45715533, + 293806876, + 164867075, + 304794208, + 312531638, + 208561339, + 461238696, + 635338474, + 286591171, + 895830041, + 6137051, + 254160041, + 431842319, + 62217269, + 959100097, + 585989663, + 455950, + 428199474, + 168396950, + 442832694, + 423898529, + 157721403, + 795525827, + 530459192, + 437695038, + 442886733, + 678463458, + 841337099, + 942179102, + 538435426, + 273866141, + 83783746, + 527033168, + 373121825, + 206212702, + 737022124, + 989889910, + 320877500, + 683326707, + 741004540, + 573971213, + 635449523, + 303483178, + 10873287, + 805273541, + 810169506, + 786856008, + 448378925, + 207321386, + 776403854, + 70347931, + 489768159, + 493131075, + 573773683, + 123215004, + 898359890, + 233290576, + 241393386, + 464880394, + 996090898, + 827974790, + 418846058, + 300129056, + 775253067, + 770333095, + 670684669, + 666460806, + 504656866, + 390695524, + 806826378, + 277468755, + 519047091, + 848144932, + 823833906, + 525597093, + 525167158, + 51213398, + 993312138, + 144617802, + 851807999, + 333071486, + 561132867, + 618989000, + 342119032, + 583203138, + 484486484, + 719142326, + 245076259, + 752838697, + 127840864, + 582856190, + 337220623, + 906600189, + 363494024, + 761332774, + 558074157, + 900177875, + 66174970, + 71387723, + 41694087, + 228065795, + 82339314, + 814630477, + 678892835, + 555568471, + 466379686, + 997421352, + 133772779, + 27582946, + 661670372, + 51989283, + 198252047, + 997003270, + 320012117, + 320160541, + 907069135, + 83866473, + 822572240, + 382316892, + 944129569, + 657109212, + 433291076, + 565217204, + 938290874, + 72537938, + 659884132, + 626493285, + 739705769, + 580969423, + 835569731, + 302617243, + 107264369, + 25905280, + 715361231, + 187268133, + 253749628, + 691551820, + 651518567, + 795458124, + 241637971, + 11004841, + 134621212, + 553167367, + 42264991, + 784860869, + 688180260, + 747787763, + 180715356, + 731896671, + 599916432, + 133942594, + 936275730, + 681218923, + 745671286, + 996671653, + 42166412, + 667810006, + 455941547, + 139318322, + 565118063, + 941224400, + 36186815, + 166873507, + 520262570, + 262884483, + 731472898, + 197882711, + 611595984, + 958089760, + 576734356, + 995293320, + 701309870, + 774629810, + 977683103, + 471192241, + 230746500, + 308941602, + 782582665, + 746981066, + 503189902, + 242622443, + 144004851, + 219764093, + 69797326, + 135369879, + 195206200, + 987949131, + 3870140, + 121464369, + 177226595, + 40680502, + 331614277, + 433641582, + 544475723, + 337862367, + 464517350, + 481273221, + 797106375, + 443013777, + 517783312, + 162363610, + 136048610, + 10331468, + 230640476, + 898641863, + 78431535, + 120253436, + 110905862, + 947648743, + 117209500, + 226352874, + 213526536, + 166660411, + 254702766, + 256979993, + 169681677, + 513398699, + 603487934, + 528729207, + 493408158, + 793660306, + 713179061, + 157920112, + 110350264, + 353286349, + 17160461, + 304475789, + 806254612, + 413475701, + 961069815, + 84559904, + 118309233, + 247192970, + 45474104, + 425187152, + 838209941, + 477007512, + 8990173, + 306531001, + 632855156, + 854961784, + 699122457, + 160588927, + 264533675, + 392528414, + 202018487, + 378289105, + 610141226, + 919733698, + 694704368, + 60013571, + 532393389, + 413464420, + 473309961, + 606084597, + 406778092, + 640898159, + 41202673, + 101345986, + 840042152, + 476760631, + 390638864, + 334163680, + 899650388, + 885486445, + 473717097, + 804422523, + 648008086, + 807189965, + 723491503, + 207840045, + 538981609, + 582396408, + 114215828, + 844727100, + 922630662, + 291679374, + 338914322, + 376098108, + 57897581, + 481570858, + 108397800, + 922935329, + 512265827, + 614349604, + 657014519, + 232392826, + 744165618, + 127877604, + 554874390, + 482611437, + 396163312, + 494597577, + 723821942, + 808097407, + 228931748, + 131045972, + 417616255, + 529455811, + 800380252, + 222927595, + 547627559, + 668678048, + 122623875, + 48217216, + 71771606, + 821386186, + 313591805, + 234362888, + 94352308, + 907659883, + 655154433, + 980029655, + 516776520, + 507607316, + 34627093, + 473574378, + 519698183, + 303983128, + 939777357, + 856787029, + 566513300, + 167999905, + 561584603, + 328209034, + 533300436, + 909778408, + 582422596, + 992752219, + 3101106, + 443293817, + 370930737, + 513420998, + 193544401, + 712644811, + 771750719, + 534986335, + 952324215, + 276149214, + 92988547, + 814940868, + 287954444, + 590889408, + 927997816, + 747043433, + 667415701, + 228666482, + 480251360, + 944581131, + 34364736, + 419540631, + 503614028, + 335130541, + 539341966, + 246487934, + 364897467, + 566386334, + 931030570, + 189582676, + 269255351, + 736094644, + 170996985, + 803257254, + 470517878, + 395534033, + 481914480, + 859394623, + 340493694, + 238686631, + 734960758, + 398047727, + 851459636, + 425012231, + 875225830, + 281042766, + 122924977, + 350294244, + 694879136, + 929177003, + 882533016, + 194055301, + 132616923, + 637435856, + 658629935, + 834346978, + 775387232, + 817744912, + 564893145, + 593492894, + 106499434, + 120449649, + 524096663, + 672830173, + 952071694, + 836062317, + 588341541, + 369804997, + 821947046, + 964796894, + 819020498, + 221659397, + 851026132, + 573570475, + 162720721, + 836047305, + 203980725, + 589021348, + 250586791, + 595644069, + 252308421, + 555426215, + 9392027, + 125363374, + 352869545, + 160428056, + 494852331, + 231172421, + 421694949, + 968705062, + 701656916, + 193926293, + 771513449, + 642516064, + 70911214, + 107252883, + 87774313, + 928345081, + 52030812, + 799208385, + 136177634, + 593750270, + 907050324, + 434465533, + 695257862, + 493157108, + 215306481, + 522363120, + 589390081, + 202008631, + 169374678, + 756676193, + 251932506, + 139074378, + 509851262, + 263188214, + 671881181, + 328504690, + 783929195, + 171522176, + 383513435, + 2777667, + 869116635, + 90251721, + 282960186, + 48782880, + 729969927, + 100519706, + 306127832, + 77754925, + 470914455, + 441260190, + 978239297, + 203970673, + 582749883, + 150681491, + 573463688, + 33745117, + 211324023, + 479554379, + 50635577, + 614898890, + 704719461, + 217361929, + 558489662, + 418947951, + 676893400, + 97083721, + 403314690, + 827942904, + 926400335, + 486095572, + 16141615, + 885806248, + 464367906, + 739293432, + 325010252, + 561962572, + 807291394, + 330704, + 519951221, + 811603146, + 741667347, + 213820291, + 183956594, + 115243636, + 517460253, + 80459800, + 974764954, + 329869027, + 513146719, + 136684251, + 121011713, + 903212516, + 358236421, + 720789357, + 508044234, + 680048256, + 267357321, + 963428002, + 214734498, + 599181797, + 50709771, + 997750222, + 969043820, + 969823708, + 490106795, + 948323714, + 32289800, + 242273588, + 82324271, + 224813376, + 743461698, + 346689277, + 501334939, + 672602906, + 66201247, + 497725540, + 22752167, + 247515037, + 533425896, + 264256264, + 950938559, + 850965741, + 424444785, + 804181611, + 771100082, + 996074903, + 227641568, + 311464636, + 216923410, + 865960092, + 532312448, + 948279160, + 49352712, + 522596178, + 514285219, + 817128974, + 755799048, + 70343335, + 721096699, + 998175798, + 126249651, + 205638226, + 721646921, + 946055273, + 930118782, + 192231803, + 300891973, + 746994542, + 398376072, + 780361093, + 630953896, + 814966852, + 888350171, + 859073574, + 669322181, + 267241156, + 674037936, + 89863996, + 774167547, + 130810508, + 616908159, + 66096496, + 424919156, + 798725648, + 289751495, + 540417256, + 338799816, + 453302887, + 243381228, + 236085733, + 446675695, + 747127108, + 305901311, + 760555700, + 272607418, + 597362525, + 600674534, + 782690684, + 14916341, + 377705767, + 19063088, + 89387533, + 674306310, + 987982578, + 932356474, + 631657642, + 435419869, + 899017235, + 758755887, + 579699998, + 395320118, + 708399980, + 835370561, + 439754716, + 939462302, + 350459944, + 517725528, + 804810408, + 113385838, + 98406128, + 174855935, + 928696125, + 731762720, + 654225607, + 100052236, + 64408049, + 120530295, + 790069288, + 22134590, + 483156939, + 858978773, + 874504322, + 903196873, + 217932252, + 516399470, + 819260534, + 570471615, + 854423933, + 618269242, + 435159126, + 170686550, + 288737416, + 377540974, + 345658058, + 314894651, + 113676492, + 869390768, + 273396262, + 55827869, + 836107106, + 946815955, + 498782507, + 695610239, + 701622297, + 678939785, + 189238024, + 601108780, + 213816644, + 186311623, + 517948066, + 718418547, + 436590872, + 491031125, + 856955476, + 296953659, + 822881092, + 334001165, + 177396726, + 499359575, + 902773462, + 636891393, + 369600827, + 147828319, + 112450704, + 152801680, + 764010838, + 510215554, + 39623003, + 429453048, + 464397393, + 56970157, + 431634592, + 527568394, + 25703109, + 445265957, + 412632830, + 442873261, + 117227423, + 958691532, + 770715034, + 970440436, + 844876549, + 864045968, + 184027287, + 877504316, + 473763041, + 229466341, + 353091342, + 193493867, + 405958297, + 435290451, + 447993242, + 106654511, + 437308416, + 705178227, + 226148938, + 850928718, + 443147341, + 626992751, + 395978982, + 156996170, + 680395962, + 884777418, + 99240146, + 174918682, + 645840767, + 492002300, + 580694642, + 367029226, + 193964962, + 575352928, + 709991068, + 113854089, + 237017456, + 236860974, + 959965499, + 836486714, + 526074955, + 577471237, + 181277210, + 490923725, + 141715614, + 828299637, + 133169519, + 234436085, + 508198910, + 517559010, + 37367122, + 56779657, + 172097489, + 516242959, + 877302854, + 449749377, + 524707248, + 906329957, + 895764505, + 630425208, + 844426251, + 819822674, + 541632868, + 159948083, + 246345807, + 321571806, + 25267560, + 700918849, + 683224486, + 795648861, + 76462539, + 899594597, + 332401300, + 348697406, + 598476214, + 408895968, + 915994450, + 468057035, + 734480450, + 544576266, + 828767837, + 719245068, + 105376487, + 512530837, + 736357373, + 470029422, + 660995524, + 665949143, + 201029424, + 100825024, + 208118172, + 763985837, + 128866186, + 802411714, + 108950350, + 936263513, + 191876840, + 106480177, + 870323442, + 128554853, + 535613055, + 938288848, + 387714375, + 848392728, + 803940225, + 265432885, + 203140155, + 790304246, + 433539038, + 408457921, + 948152094, + 141824979, + 982435665, + 324219741, + 753133290, + 458391443, + 721247726, + 568041240, + 160924340, + 763856950, + 279534873, + 481832772, + 141031113, + 176357664, + 361022591, + 986982324, + 875032717, + 658909914, + 692023725, + 947179049, + 605808674, + 633449604, + 422936094, + 305482330, + 822728574, + 10895023, + 75447714, + 782956246, + 704436797, + 245244161, + 587688740, + 786549415, + 640337190, + 904238849, + 403310678, + 467763852, + 424853267, + 610892635, + 546796590, + 270577947, + 53554367, + 759958163, + 565924493, + 22084820, + 164252653, + 739880900, + 758403993, + 52736641, + 458276327, + 982495188, + 51748705, + 913851651, + 437155599, + 45455267, + 85456269, + 826097735, + 118969605, + 318220327, + 145152346, + 616152076, + 542785603, + 411298896, + 925548533, + 154033799, + 483943513, + 602941344, + 133606669, + 55432757, + 241267595, + 94753598, + 22481877, + 444786315, + 18464431, + 166650880, + 691834475, + 886718522, + 738297621, + 945172959, + 168607266, + 758956128, + 22507687, + 23264575, + 859180732, + 973210276, + 304454966, + 546246027, + 797561254, + 922748030, + 535938286, + 360553437, + 491275361, + 686043795, + 330572196, + 228192418, + 969523825, + 757780798, + 483586911, + 181902362, + 387775415, + 100144486, + 218254581, + 163142316, + 268531503, + 76425536, + 634018710, + 722133363, + 35276485, + 653841233, + 517599248, + 983559777, + 593495618, + 759767903, + 55171640, + 944214799, + 384376213, + 628886141, + 124033625, + 47557029, + 243022096, + 164935379, + 962245635, + 557957704, + 63487017, + 346745386, + 597612954, + 964079123, + 114195556, + 803102658, + 683016521, + 164215993, + 589758934, + 188479167, + 434217061, + 375327054, + 526647965, + 590190113, + 398578451, + 897578561, + 383336179, + 187164323, + 628805846, + 103664372, + 801453041, + 109088096, + 338550179, + 595978760, + 988977793, + 972786183, + 652487521, + 311417796, + 13494677, + 552090872, + 439620742, + 131201903, + 933723398, + 963441317, + 498082480, + 782142143, + 414393704, + 665941895, + 45267719, + 391950894, + 269477493, + 949683996, + 369957860, + 86331679, + 374218026, + 659060582, + 417624002, + 359591954, + 406935939, + 905136558, + 464801202, + 60319458, + 694953231, + 568985282, + 75846834, + 12757687, + 980277126, + 242487512, + 746027333, + 730909819, + 689930531, + 453520688, + 365264313, + 863362203, + 249768326, + 998058686, + 305151432, + 686110597, + 412139067, + 354383491, + 73173879, + 701124021, + 319475809, + 355053807, + 423226660, + 431088863, + 3968521, + 58806315, + 724550645, + 625102509, + 873045003, + 182369178, + 975152844, + 882318168, + 205337366, + 747894383, + 795373949, + 959324482, + 466179706, + 671192835, + 296119457, + 20887552, + 817306446, + 561043872, + 801622732, + 468992429, + 540056893, + 158672635, + 522004624, + 152831397, + 136357698, + 159629567, + 496143794, + 112781763, + 804620003, + 437734073, + 713949189, + 586803209, + 442039507, + 110868786, + 370678943, + 552776350, + 127081646, + 684911584, + 404762682, + 662081750, + 590069207, + 670562384, + 556761480, + 887581285, + 943625888, + 133925321, + 811772114, + 304072841, + 635051606, + 454629118, + 880897490, + 758281412, + 975821370, + 874391548, + 386038885, + 120194155, + 32414755, + 420150999, + 767664218, + 785269898, + 534218786, + 758464127, + 958824347, + 70200623, + 366418597, + 540975881, + 368782227, + 963300128, + 285880543, + 491875588, + 848544143, + 919975909, + 593619509, + 971138451, + 35171927, + 15175132, + 653325183, + 684799220, + 673514657, + 554883329, + 593776474, + 11059524, + 617216675, + 381366493, + 396245123, + 253785303, + 909522420, + 202200462, + 298600726, + 65777148, + 460925778, + 756412397, + 801108563, + 373810765, + 498447671, + 160669202, + 847573471, + 158122871, + 75201414, + 417998506, + 141954811, + 195116597, + 276869240, + 442173540, + 668344306, + 183975582, + 330082827, + 568829616, + 644112976, + 418689402, + 911443436, + 110344385, + 552062929, + 436641193, + 239910844, + 866726437, + 184140449, + 323716542, + 495749731, + 760389256, + 406180284, + 249026740, + 294016138, + 828836363, + 195362334, + 759516388, + 741771722, + 785147910, + 885218887, + 1679353, + 339359657, + 265588881, + 462472680, + 752483389, + 959064885, + 444221756, + 268764853, + 356994815, + 145580533, + 649266599, + 585128781, + 38599736, + 640127158, + 831748762, + 243249419, + 632918016, + 514812479, + 98807222, + 920195122, + 147374017, + 839344442, + 736420862, + 434600500, + 202988225, + 454806259, + 45883402, + 25345484, + 805508471, + 435542131, + 842020710, + 676517758, + 532394653, + 110012169, + 743069378, + 357226793, + 613789973, + 735885235, + 443296925, + 96723567, + 302219805, + 492968554, + 372618122, + 186520336, + 111499166, + 544318983, + 844080542, + 115024831, + 178569238, + 838187958, + 565226292, + 115345479, + 922042100, + 53376678, + 704179820, + 587972479, + 733508398, + 606033786, + 906492753, + 134309683, + 764465879, + 386279427, + 41169647, + 752449935, + 59559387, + 252485668, + 275351672, + 220390277, + 339356362, + 31085638, + 809975614, + 501851237, + 792867239, + 693345919, + 593182051, + 244788174, + 277999196, + 311381054, + 612076090, + 523860896, + 454564057, + 613060003, + 221180519, + 664227040, + 419863033, + 712196238, + 65352736, + 807186853, + 685814296, + 95681689, + 461398767, + 946658321, + 550064671, + 919120123, + 869619187, + 614491472, + 247656062, + 124489782, + 806105951, + 655924603, + 426276271, + 960765173, + 728297405, + 382376486, + 138342820, + 89489277, + 54448349, + 192523871, + 541722136, + 496201089, + 537578973, + 659433110, + 902986365, + 47077093, + 691301082, + 227473274, + 108708973, + 634025669, + 526455029, + 942150210, + 371335313, + 77850306, + 233738682, + 984174085, + 829989344, + 784371285, + 976958016, + 408449072, + 7506161, + 660001308, + 425336430, + 191243127, + 684563888, + 667088918, + 943203951, + 158535153, + 697081657, + 882700604, + 688011691, + 694117041, + 699320916, + 759577175, + 541365024, + 414035033, + 826068686, + 462743779, + 420858056, + 236398813, + 319891519, + 403523834, + 549535060, + 651465241, + 6078706, + 367830616, + 244982509, + 528757946, + 632251300, + 227529379, + 874664259, + 461255188, + 213320984, + 842204782, + 779815524, + 517861701, + 645112975, + 425154924, + 218489961, + 79601626, + 405599819, + 49301906, + 682637864, + 697152823, + 229778766, + 208156385, + 635839900, + 612567942, + 544461113, + 583564905, + 914054862, + 915239820, + 585439564, + 148040893, + 707082960, + 279958374, + 694971238, + 800181452, + 883667769, + 121862348, + 354805326, + 142860724, + 414407127, + 971392137, + 741733087, + 346175915, + 39840042, + 94033230, + 465746709, + 957131649, + 289352256, + 772516136, + 768530786, + 297669695, + 287351794, + 721132709, + 683745276, + 841348575, + 287419659, + 669131090, + 93347107, + 717494971, + 6748285, + 758724481, + 979824905, + 719682823, + 318424447, + 895716429, + 919659927, + 33974269, + 557792415, + 73695803, + 939435842, + 545349018, + 83613737, + 365700098, + 512537134, + 64206043, + 361582960, + 677440602, + 530079947, + 181667456, + 724014847, + 582498038, + 251589953, + 839088867, + 609610029, + 25942044, + 659618166, + 819229457, + 32115255, + 931192897, + 340210225, + 396019590, + 253109678, + 411527247, + 926745993, + 628651830, + 514951650, + 288535413, + 241555458, + 851658644, + 307303454, + 682453862, + 651672862, + 894742979, + 873522485, + 609957, + 674853346, + 841548967, + 655294526, + 674397416, + 891057897, + 667085076, + 392682630, + 978088088, + 363310448, + 978938719, + 442947679, + 50484962, + 336657003, + 569892791, + 673245068, + 285681694, + 756518535, + 276718096, + 619429742, + 663530356, + 860640050, + 169716042, + 490409387, + 166871689, + 270604710, + 126126704, + 916449433, + 628409951, + 248638832, + 729699303, + 890759411, + 851578122, + 902955173, + 943890156, + 696280954, + 984197281, + 675316328, + 860540386, + 660306758, + 119052463, + 458645604, + 828645436, + 838954059, + 846187700, + 246754733, + 853509640, + 309813792, + 516977011, + 630791251, + 873880699, + 145300761, + 776238929, + 275945908, + 35086913, + 518254034, + 565264375, + 63621401, + 402875587, + 757995165, + 381647061, + 366122522, + 816877873, + 158287209, + 92320160, + 108822059, + 426565218, + 655433255, + 433364079, + 848763201, + 816614490, + 631410767, + 689624828, + 300778620, + 323548196, + 258647249, + 217476789, + 327363211, + 389706387, + 339519910, + 44921059, + 690554089, + 396972066, + 32072104, + 516860388, + 198893765, + 93991562, + 277539169, + 485683075, + 418721614, + 790159340, + 264362452, + 242900202, + 183604672, + 343783346, + 91947083, + 354167995, + 927258683, + 576553070, + 969196132, + 75783279, + 11763728, + 658258314, + 933371557, + 57829509, + 992536766, + 810872833, + 856567394, + 368696853, + 326160895, + 68353280, + 746766341, + 797570314, + 134545228, + 188741043, + 634015855, + 1287069, + 135636159, + 490132201, + 839366475, + 564146898, + 116494062, + 322682385, + 628791864, + 806434943, + 557837080, + 517975082, + 410770981, + 567151712, + 177992827, + 110511634, + 107497691, + 745077426, + 761141655, + 452263614, + 296664826, + 798141485, + 932601926, + 470648280, + 108125929, + 608993437, + 818957373, + 550055266, + 61318359, + 944685830, + 949969820, + 404986889, + 734490389, + 435881178, + 362494467, + 908656439, + 804783971, + 616639411, + 311369153, + 409534202, + 468918367, + 155606185, + 202705731, + 440801047, + 575688835, + 561745001, + 367868934, + 210047820, + 731025955, + 432033919, + 532272029, + 927890293, + 577433055, + 65171686, + 703933643, + 289326539, + 807401980, + 406881205, + 750458209, + 842589504, + 505597012, + 958032450, + 503807165, + 973434566, + 219576813, + 791930534, + 22712269, + 576822280, + 895594428, + 92287916, + 844133046, + 628234613, + 123186743, + 931454399, + 770680545, + 735349529, + 569844802, + 561996408, + 742842237, + 802452246, + 646215986, + 282087765, + 351664312, + 774521636, + 965047152, + 844625054, + 586497174, + 515894843, + 864643973, + 258762859, + 804186638, + 816960404, + 839487400, + 234020012, + 906275010, + 807751787, + 295905850, + 519727895, + 814729871, + 903111344, + 267951764, + 833167707, + 404604085, + 208900562, + 307216750, + 262901150, + 198140608, + 701626993, + 294367174, + 323830547, + 558467784, + 753619932, + 290678986, + 764763173, + 656556773, + 5197474, + 237000633, + 622359352, + 444671443, + 99445531, + 729480226, + 960778920, + 639019535, + 222293153, + 86631947, + 262893688, + 717913786, + 550286513, + 654494988, + 952737486, + 403258127, + 870947956, + 770029586, + 166320676, + 225210382, + 638829448, + 908661809, + 928243991, + 344876810, + 255777676, + 638541545, + 318894066, + 513137099, + 513724046, + 264807406, + 141002439, + 778137832, + 99989638, + 409005627, + 524247909, + 145796714, + 567422700, + 887565141, + 238894704, + 601065579, + 341497785, + 941907501, + 955761700, + 926325792, + 862432294, + 653837675, + 996318167, + 800681407, + 967851912, + 298376754, + 350285971, + 240968011, + 854944433, + 838088931, + 674788386, + 639762070, + 588018397, + 637185559, + 784289352, + 218737034, + 745792225, + 161948278, + 473735404, + 377096796, + 241927206, + 978702146, + 922305917, + 545541129, + 53708641, + 619538668, + 116750773, + 759304082, + 375205310, + 718145487, + 125624733, + 166189958, + 844858003, + 201482375, + 861441157, + 105530315, + 83077940, + 682398423, + 869222439, + 155563492, + 739490095, + 450664443, + 678626165, + 72904421, + 299490679, + 514461326, + 241537194, + 910120779, + 820327925, + 340810342, + 964390700, + 565392002, + 245533431, + 647915238, + 30903616, + 984067315, + 817422333, + 892980758, + 129799946, + 263236783, + 569414386, + 526860219, + 748969735, + 729135628, + 966428665, + 74091809, + 773182346, + 382408050, + 154277798, + 610927249, + 691418618, + 117268965, + 436609513, + 258854018, + 529223767, + 679531241, + 207615725, + 497797412, + 591312292, + 728357706, + 142734872, + 908901357, + 740008264, + 845691626, + 611774689, + 13331356, + 535269054, + 234544761, + 660445056, + 75660461, + 170561295, + 981848724, + 654281494, + 62557045, + 523526992, + 936764672, + 849518505, + 189717736, + 381932409, + 310366126, + 561069302, + 702336258, + 181430032, + 313436204, + 218232211, + 159238758, + 64873734, + 146432957, + 316591666, + 182768580, + 37714513, + 762895041, + 169602630, + 606807783, + 24786880, + 713710318, + 56604785, + 986563383, + 604746251, + 453900889, + 637023674, + 268759114, + 742594823, + 893492358, + 149638286, + 149237186, + 674686758, + 623038028, + 695924934, + 779090091, + 146393930, + 532571331, + 454045906, + 256858757, + 928494482, + 668063194, + 52046201, + 88011734, + 423369226, + 891448562, + 884166406, + 809759541, + 725585837, + 267745013, + 65523721, + 109477898, + 784815041, + 478103469, + 310756036, + 501812366, + 441519354, + 893520644, + 284372665, + 638581049, + 848384476, + 679232653, + 678082385, + 589995396, + 138561513, + 214214976, + 948809760, + 456341659, + 876839638, + 653463585, + 979748844, + 81774405, + 588097114, + 323245335, + 767303716, + 304740580, + 789693868, + 63043016, + 226586014, + 91491228, + 822692401, + 52909426, + 122045336, + 870069983, + 645313937, + 316001456, + 459437388, + 291254059, + 392280831, + 536314188, + 102252477, + 719090502, + 396116399, + 357320554, + 15213000, + 947756231, + 252536375, + 503990747, + 766809778, + 397154679, + 942997308, + 638865088, + 794786729, + 868906557, + 160370175, + 192453123, + 345163833, + 271329233, + 122612197, + 983553187, + 405676564, + 563615621, + 359024059, + 524505722, + 670846317, + 206592317, + 874220881, + 736207497, + 15695691, + 209161442, + 491804610, + 140533489, + 58444072, + 434357879, + 234506227, + 916057639, + 964621256, + 55125690, + 313935274, + 528344643, + 219810570, + 356818363, + 137352996, + 330587198, + 943102086, + 829139549, + 382570071, + 827733146, + 502397096, + 941785447, + 161369519, + 261661626, + 198787635, + 396899715, + 654835419, + 289594352, + 621954787, + 737225983, + 410156304, + 206674918, + 526050196, + 601669439, + 580677468, + 584701248, + 893146491, + 703512118, + 690383212, + 977901393, + 427800277, + 636511868, + 350415137, + 733904199, + 310675930, + 519007843, + 395539985, + 162706588, + 216793910, + 27330846, + 246713928, + 974477308, + 234199402, + 534240016, + 913765481, + 645377928, + 862284585, + 950313419, + 349100021, + 746150881, + 928689086, + 352221203, + 318534335, + 327819385, + 128166957, + 795680681, + 49522040, + 98228521, + 494438721, + 661083359, + 264237874, + 542410965, + 264702059, + 422547239, + 843876342, + 255782789, + 821434552, + 20669131, + 896808437, + 595998827, + 152969534, + 118072978, + 44214096, + 217306396, + 516792566, + 12410960, + 60096592, + 460195566, + 230453467, + 613935441, + 327097050, + 353622316, + 87120515, + 351761061, + 501978697, + 905687054, + 268809395, + 429807530, + 761353126, + 660416826, + 561285682, + 383640289, + 574057467, + 670933968, + 394151232, + 775220183, + 581911950, + 439931152, + 840246612, + 525023760, + 455099827, + 623973170, + 449932122, + 825574515, + 476141207, + 771111624, + 706906016, + 560006959, + 816351049, + 892504672, + 513404768, + 883814869, + 896059895, + 856108355, + 311088619, + 491189447, + 371226431, + 599756054, + 699417402, + 697492366, + 541401658, + 980688253, + 966499333, + 126110174, + 697775211, + 864120440, + 723570426, + 347362771, + 197132785, + 172083468, + 219677901, + 103236264, + 927906802, + 388048833, + 393368216, + 55899811, + 82487217, + 118550680, + 496942882, + 287596364, + 883503672, + 705048473, + 157803686, + 298689905, + 851629435, + 108198443, + 806510345, + 779889684, + 610410670, + 605740646, + 895592570, + 22526370, + 415805228, + 901014572, + 179146843, + 267852062, + 742548489, + 65040418, + 193533165, + 614401627, + 296342572, + 129756023, + 841254155, + 339188648, + 884386662, + 157489248, + 531478552, + 984465119, + 69125036, + 863545888, + 712897792, + 221087186, + 788982332, + 625922261, + 615984261, + 429277985, + 272828441, + 347824178, + 549875547, + 440982949, + 769757793, + 266846506, + 720554367, + 627191137, + 280244071, + 95803677, + 763100037, + 747504863, + 391889765, + 114144084, + 948080646, + 155128559, + 459241362, + 245343784, + 359547891, + 818990634, + 609920328, + 870677606, + 304337373, + 139037079, + 762582851, + 36732433, + 695066533, + 169842807, + 912293536, + 297312850, + 57350720, + 104452713, + 425229843, + 13993171, + 866235970, + 241916413, + 394521418, + 912920091, + 106427807, + 898040999, + 924746568, + 714237685, + 267825105, + 521173187, + 528653390, + 872655583, + 634653984, + 731723439, + 226742389, + 674939408, + 639984506, + 759496145, + 284649066, + 226934614, + 956889115, + 787715533, + 827364582, + 511069549, + 649618112, + 412019067, + 10862271, + 280001154, + 286262573, + 863926508, + 609178082, + 76509537, + 948018077, + 675140175, + 653611, + 464172437, + 800975970, + 923617332, + 23398063, + 539229173, + 423305418, + 510716991, + 318112171, + 920190860, + 916363827, + 396111056, + 421387655, + 309533114, + 543013810, + 145308431, + 14436163, + 460176615, + 441407963, + 528552863, + 304959582, + 602614523, + 554702189, + 573800842, + 971544359, + 338143732, + 461381036, + 853679764, + 411673702, + 136245486, + 160269604, + 997210633, + 549579955, + 780901235, + 502847891, + 55427249, + 348780960, + 576281923, + 460624932, + 156198079, + 27866589, + 899887003, + 291715193, + 629370156, + 948011931, + 455478272, + 413515546, + 250554687, + 508333503, + 471040699, + 517484832, + 682286776, + 191882175, + 972998149, + 298096193, + 445976013, + 190154320, + 337772891, + 296439080, + 395341597, + 182155082, + 759385359, + 398477477, + 23115128, + 984549834, + 512878981, + 238626078, + 639839103, + 454049327, + 428076390, + 702244570, + 577783040, + 590160550, + 146447651, + 15227703, + 501241732, + 177560206, + 608803340, + 858658026, + 693083133, + 22254998, + 670700343, + 883511272, + 954166099, + 417333086, + 571798843, + 238703835, + 474096575, + 386707653, + 724103151, + 952501658, + 702630162, + 773418065, + 772580476, + 648682643, + 530918826, + 72751038, + 416255332, + 295484970, + 549336702, + 646084330, + 634137735, + 219138887, + 918762135, + 579232108, + 357669985, + 759336451, + 204783165, + 708927169, + 216536427, + 645196198, + 815947713, + 672214520, + 630988755, + 807618594, + 743487673, + 753418401, + 610503299, + 36790980, + 522110314, + 502417715, + 352725096, + 674473374, + 687333539, + 452346763, + 832631190, + 12206912, + 698811410, + 873654684, + 841225327, + 914929896, + 446963960, + 377311649, + 958137085, + 534486851, + 857003773, + 39911639, + 136679209, + 456651795, + 542215703, + 887074303, + 246892301, + 890595339, + 28893668, + 723009018, + 696054530, + 495284476, + 590461350, + 854275493, + 74351868, + 663788056, + 645292201, + 513029362, + 285274037, + 361258038, + 445998673, + 58761719, + 961999751, + 848543725, + 242248457, + 931261860, + 492004977, + 459897886, + 357750024, + 729368743, + 979819880, + 263415187, + 590895832, + 499717792, + 106446023, + 646732628, + 84623820, + 468184580, + 452122066, + 167132020, + 689591556, + 354025198, + 180584345, + 471193744, + 525766737, + 132632012, + 498025844, + 542670355, + 666271908, + 950197465, + 1239359, + 989646570, + 942990395, + 995818348, + 465900873, + 624677107, + 555301738, + 932592467, + 820565659, + 243223213, + 40231385, + 373712163, + 308507731, + 931379214, + 274491833, + 623207005, + 632033366, + 612517165, + 639647835, + 602478571, + 409050195, + 730127417, + 863234611, + 458212747, + 670975029, + 957842597, + 123039459, + 308285258, + 833353392, + 290961223, + 62704722, + 943455699, + 226324803, + 675555893, + 14795939, + 202124916, + 539217405, + 704728462, + 656621339, + 324677437, + 161850658, + 884805946, + 507761951, + 958449816, + 557852930, + 479259886, + 783186117, + 221505567, + 40878645, + 162962109, + 15306407, + 769606424, + 112972594, + 184894061, + 320563194, + 742472086, + 974007397, + 374887660, + 19862034, + 519555741, + 760006889, + 836968978, + 600388171, + 510867892, + 234720582, + 446759165, + 24473136, + 322292560, + 502221422, + 956200135, + 924595314, + 370183340, + 924262673, + 160985339, + 341778774, + 74115099, + 967597498, + 879635193, + 719475068, + 351529071, + 217212282, + 366374626, + 154793464, + 737238861, + 359168476, + 290529348, + 751126638, + 887020782, + 596696658, + 188243621, + 454741670, + 506799748, + 932234581, + 638925894, + 733652519, + 475813778, + 328790927, + 790663703, + 652284730, + 297039215, + 212715365, + 66936647, + 70410728, + 287300801, + 620856857, + 317982831, + 475579654, + 944304792, + 804492380, + 640703057, + 637316587, + 127272227, + 964916891, + 668680581, + 543794207, + 551318410, + 453335400, + 53935623, + 255713615, + 657534372, + 285007138, + 688097223, + 905813094, + 861663713, + 382423868, + 981908153, + 861707685, + 634276112, + 44730652, + 799958705, + 292438646, + 59290699, + 449397346, + 670939732, + 117602468, + 999564244, + 871896971, + 155772115, + 470636841, + 937260486, + 855503429, + 28023345, + 996168255, + 193274095, + 90033179, + 163050350, + 770498357, + 679081650, + 794601403, + 468517156, + 668989845, + 122717418, + 166203395, + 774178214, + 936290870, + 631468045, + 244786089, + 100083871, + 436819765, + 556273426, + 641957264, + 217324167, + 39105395, + 24006890, + 959467359, + 508733002, + 456794833, + 192479020, + 782368409, + 946941774, + 508225725, + 845151666, + 757021787, + 11852953, + 426839572, + 952076607, + 263498955, + 35248595, + 416565801, + 967901679, + 148023460, + 473855923, + 741063813, + 346800241, + 789574735, + 926858564, + 805828814, + 71877992, + 602911943, + 969732358, + 697353691, + 504236400, + 858943267, + 462708483, + 732445350, + 774210978, + 550116759, + 593523449, + 152329914, + 17003552, + 512496348, + 682986914, + 151844832, + 878060054, + 639156802, + 416262935, + 343861767, + 466598722, + 441823423, + 847407662, + 444059217, + 598541444, + 206145786, + 905678286, + 39900405, + 881030847, + 578689908, + 520885120, + 203515444, + 839606289, + 834972735, + 685762610, + 15535481, + 459518283, + 182044078, + 972304645, + 574831946, + 597440129, + 367695378, + 13481047, + 104576215, + 895763058, + 302747884, + 295148202, + 606022765, + 488195282, + 873885990, + 80979412, + 142031327, + 44713183, + 967350900, + 930770971, + 935975028, + 109521301, + 621616715, + 294545885, + 767917393, + 173596790, + 803692455, + 254027543, + 231844491, + 50925047, + 296840164, + 555182750, + 481209745, + 129544882, + 201760309, + 65427737, + 920778328, + 126415808, + 344671253, + 115903192, + 297974741, + 730451028, + 656191981, + 962671712, + 451741635, + 397830946, + 290804307, + 995859886, + 96304453, + 758636649, + 93226984, + 562264628, + 234075960, + 935354869, + 993147690, + 72199716, + 821104845, + 902019363, + 408486333, + 29806843, + 854188846, + 173677282, + 433677588, + 601909526, + 607373696, + 411902280, + 903674072, + 533310710, + 719996428, + 123798261, + 853901207, + 784712047, + 580814967, + 422343341, + 184458258, + 331036863, + 719089129, + 56687009, + 727305623, + 10505150, + 554666726, + 687917431, + 422969386, + 452309646, + 483143539, + 684233345, + 18422156, + 947475923, + 197111345, + 923274635, + 429634573, + 702013672, + 590539663, + 743981111, + 369604007, + 502656441, + 359234698, + 451750187, + 668240729, + 73095826, + 808063249, + 924208236, + 78358005, + 858333327, + 226378829, + 518630657, + 325070435, + 295724232, + 404441959, + 453763775, + 176533752, + 731791310, + 655599972, + 814201578, + 635711576, + 506243121, + 890581558, + 341178872, + 30730907, + 844139187, + 663658331, + 813819081, + 276778941, + 621043020, + 816802569, + 801239729, + 343690782, + 491261780, + 792003677, + 113754301, + 993944373, + 994774191, + 132323212, + 929089437, + 492907353, + 45972438, + 299909396, + 476267367, + 277750585, + 728249004, + 775561144, + 43677178, + 751638316, + 94252671, + 630440710, + 280254059, + 741737508, + 62042212, + 736373674, + 887044237, + 194168735, + 192147276, + 358141209, + 203609442, + 966838986, + 316814460, + 146639862, + 33023784, + 35633445, + 677055162, + 139593229, + 834937259, + 467877931, + 108454529, + 578864060, + 817023534, + 955042861, + 212189492, + 293552922, + 320335134, + 397081992, + 710146963, + 268801388, + 12254519, + 409405312, + 367354747, + 437019283, + 527099222, + 313325765, + 341275642, + 559281989, + 517311276, + 510208979, + 387435500, + 57760131, + 525272792, + 311055374, + 716279565, + 509932816, + 699481115, + 4518172, + 831812160, + 100156023, + 765154519, + 853284968, + 736902460, + 438062931, + 920323927, + 948921445, + 949525947, + 576596800, + 533680172, + 609843398, + 892567487, + 610335839, + 720364430, + 577758994, + 42116222, + 185673628, + 410312022, + 307329717, + 225713657, + 76175319, + 53383780, + 778350931, + 850252696, + 455734239, + 610781624, + 124630875, + 704913301, + 566480413, + 692226216, + 421612326, + 854048636, + 214665148, + 696939401, + 245168864, + 839122852, + 807699489, + 687573007, + 979535160, + 105568231, + 751741029, + 842243625, + 457441155, + 481220919, + 290556609, + 350722664, + 837611607, + 317287777, + 273196923, + 458510682, + 317535448, + 64328696, + 175771246, + 979504270, + 600673554, + 874142064, + 531414084, + 856848107, + 618151222, + 130645002, + 35674494, + 451820005, + 146854450, + 482989768, + 682814913, + 860836769, + 557419123, + 709258586, + 930747946, + 69989421, + 985592585, + 439104631, + 808893313, + 518194884, + 724915252, + 70193356, + 226870070, + 179856913, + 651293752, + 462282575, + 907462923, + 53619567, + 59113825, + 713899706, + 303757577, + 217091576, + 806157979, + 7629132, + 752417608, + 25134135, + 230668707, + 25491256, + 120733976, + 345134978, + 706511419, + 506161004, + 27961297, + 394087167, + 917876255, + 424193232, + 112168588, + 328315026, + 525803170, + 352291403, + 437956888, + 200939293, + 607400817, + 335785243, + 539339506, + 250592051, + 395018560, + 289859738, + 933351600, + 436062217, + 762180759, + 203018383, + 193935830, + 174697567, + 631989541, + 330938543, + 97398701, + 42062082, + 671037790, + 913744665, + 397347567, + 533566166, + 680579952, + 410762153, + 605738870, + 544268183, + 148777629, + 613775172, + 390660648, + 209749730, + 674386898, + 133946564, + 573888832, + 220468714, + 608770505, + 266225724, + 525838830, + 821543506, + 760695755, + 834674815, + 852234541, + 496349497, + 16580828, + 788375701, + 722788328, + 587414480, + 764950425, + 677619079, + 229538080, + 262833492, + 965241024, + 959335483, + 844395882, + 94831131, + 677186099, + 908922190, + 286807296, + 715829792, + 86681542, + 418755552, + 681214582, + 240002809, + 666843173, + 844668228, + 681221441, + 853618471, + 44264483, + 113267847, + 975151776, + 673568256, + 363360749, + 494774531, + 500391532, + 718826516, + 823774419, + 793974162, + 45937234, + 415352723, + 218951283, + 683103946, + 930256343, + 846413605, + 312415291, + 486438396, + 878619430, + 332691447, + 928441966, + 235681941, + 877843786, + 476907306, + 756951270, + 905234732, + 893140207, + 681005111, + 980599887, + 340756284, + 574163268, + 391289180, + 694874731, + 376263165, + 507996342, + 227407153, + 321650006, + 379974232, + 677850097, + 650084971, + 41580068, + 914071771, + 955939789, + 157095553, + 316751986, + 563529368, + 834530988, + 936983896, + 149054899, + 348708444, + 613940856, + 378560900, + 530189900, + 722593705, + 475114403, + 858101911, + 802178788, + 898692142, + 988425221, + 565402778, + 133298659, + 891917148, + 61742607, + 648422796, + 628277187, + 838345023, + 683435106, + 826691308, + 347176437, + 368689884, + 784070742, + 235114105, + 819284720, + 734455185, + 895782308, + 246180643, + 646609892, + 258185080, + 844853751, + 619766469, + 5241087, + 833101197, + 172480987, + 811529343, + 217304843, + 992659187, + 708551240, + 352108675, + 960478452, + 923086838, + 75836578, + 543760106, + 674812932, + 533457866, + 498924903, + 192940064, + 889427563, + 675202708, + 667040170, + 547446115, + 393186707, + 739030743, + 98567681, + 421997733, + 512521823, + 140810054, + 522691281, + 922266145, + 243130627, + 70281443, + 83041501, + 897627171, + 426413991, + 4500255, + 844950065, + 420218935, + 791861539, + 521426799, + 560950022, + 632773253, + 528873936, + 97325327, + 260764153, + 197765823, + 972550080, + 976524480, + 207668912, + 707436055, + 47550474, + 232206124, + 50815648, + 636139773, + 660579400, + 656783677, + 195910028, + 10734120, + 508851321, + 29183177, + 550885614, + 453080374, + 611969121, + 810062019, + 963801027, + 178448514, + 193889350, + 52382659, + 286000418, + 323883250, + 303928879, + 468118652, + 73327722, + 454601640, + 992958374, + 309161105, + 701030972, + 732866595, + 378198202, + 646677613, + 769451424, + 652277369, + 784046748, + 923975282, + 649164388, + 836022753, + 619468275, + 651711884, + 48427200, + 657794789, + 171574199, + 30781222, + 464779355, + 442486624, + 591400900, + 74817215, + 282468589, + 881544300, + 287432058, + 206635809, + 325315665, + 279849705, + 344426700, + 568243898, + 733128775, + 801546642, + 640898795, + 991051624, + 203915171, + 578538736, + 20266722, + 651673429, + 247590288, + 357508818, + 552701476, + 440071757, + 401557259, + 911578672, + 283262758, + 984815008, + 72209635, + 251252450, + 642933132, + 349260490, + 903198902, + 451861685, + 429520743, + 404139691, + 114686837, + 530338035, + 29951033, + 650335710, + 674564378, + 823917080, + 601825991, + 388602660, + 720149357, + 227250638, + 694669871, + 94426948, + 47253924, + 527639684, + 509840425, + 48000295, + 535162897, + 620863911, + 208121147, + 391155956, + 637059679, + 893215098, + 484930157, + 350943451, + 56143212, + 344829811, + 529801577, + 160630482, + 212264158, + 774379344, + 351505060, + 635315566, + 998927541, + 157464482, + 233684201, + 188220607, + 204982739, + 940886275, + 216320300, + 597628899, + 685407172, + 252649972, + 756859966, + 128245763, + 344983008, + 57374439, + 131464170, + 615635414, + 237424800, + 482317509, + 868780551, + 492298067, + 75941773, + 109925184, + 408395553, + 880232169, + 757447268, + 687153089, + 56397958, + 344179982, + 691219827, + 56281370, + 868607418, + 966428978, + 455688564, + 761819773, + 321663709, + 157261220, + 149537586, + 195503800, + 812747816, + 800858322, + 487147941, + 554424950, + 246724296, + 736952532, + 150133067, + 879688858, + 511633520, + 108547571, + 48733488, + 886065812, + 519474799, + 753594171, + 578989355, + 48168912, + 504826003, + 653944510, + 968256524, + 192960339, + 845355083, + 638757619, + 816845325, + 776464153, + 284592586, + 885790772, + 235179996, + 559308317, + 377567749, + 242328361, + 674866507, + 759954347, + 969560540, + 295999446, + 797323221, + 882482086, + 764617035, + 35002677, + 69172354, + 105551761, + 496944497, + 468364054, + 562193207, + 760690711, + 34815681, + 366619790, + 396338313, + 409434044, + 838576360, + 439243295, + 879091893, + 764116122, + 403070129, + 162206649, + 688410978, + 995391129, + 241271573, + 201172885, + 129622951, + 916143520, + 89510248, + 777325620, + 526386474, + 605493718, + 923411604, + 784785629, + 451558183, + 922551580, + 452203976, + 614799899, + 536097825, + 43766968, + 402465100, + 821738636, + 766332340, + 673754929, + 329464259, + 401288202, + 544948171, + 161296876, + 221901174, + 721972832, + 265249440, + 196852938, + 221651406, + 344004670, + 11261071, + 883866161, + 858037513, + 999739220, + 707406269, + 647917352, + 572872470, + 825830605, + 991352818, + 508273313, + 811870564, + 752893475, + 935822791, + 910177921, + 629811832, + 87145884, + 930258390, + 29537611, + 890802706, + 551047464, + 343035641, + 997703795, + 471351161, + 938606874, + 745456757, + 268083428, + 901714215, + 927772416, + 765960790, + 24508903, + 916619048, + 265458301, + 796704377, + 634720762, + 627147733, + 802272475, + 776984150, + 996485655, + 548157013, + 142110843, + 716392152, + 864808446, + 808754718, + 764392405, + 675088725, + 358101778, + 999510791, + 485929314, + 52835048, + 160209249, + 152802818, + 672744681, + 976607981, + 697056654, + 651167306, + 493973947, + 637983741, + 849191636, + 311531414, + 52931943, + 142611574, + 742288255, + 495923299, + 692605819, + 368900034, + 360772910, + 716177323, + 740867530, + 444316590, + 736505207, + 942980380, + 514754361, + 829534286, + 460117505, + 168592952, + 879380748, + 811743581, + 445408105, + 598755970, + 634541771, + 726545831, + 778898068, + 134859486, + 307663066, + 731631239, + 511315214, + 171437141, + 414355920, + 992900837, + 989238289, + 432809009, + 673503506, + 611065310, + 801149231, + 932669225, + 604782682, + 300969971, + 61753328, + 69784726, + 764892843, + 856688647, + 265234965, + 916929828, + 598362768, + 937664444, + 672381810, + 509414539, + 402587159, + 305023485, + 715387335, + 635676618, + 746647237, + 69345528, + 434436134, + 993123577, + 793635137, + 995139457, + 876563527, + 986730714, + 565982769, + 136629143, + 998911247, + 42984641, + 565395143, + 245660276, + 303055731, + 21235930, + 924083843, + 865572097, + 9590985, + 731868945, + 68699531, + 305276478, + 630622297, + 225132652, + 115959947, + 600340953, + 392134549, + 321163476, + 52381326, + 401886510, + 67160112, + 26556850, + 388625186, + 882072412, + 579658284, + 853990097, + 365837276, + 401462505, + 878945031, + 587483102, + 686409621, + 905768823, + 377983047, + 71089629, + 72813572, + 513654167, + 355403463, + 808042275, + 675303681, + 255570242, + 16142284, + 186952507, + 258784944, + 809161833, + 976905609, + 735063787, + 401533489, + 209152590, + 670576063, + 395718926, + 134136681, + 848581273, + 324188301, + 940416774, + 3654149, + 880803961, + 111627822, + 333242350, + 484398331, + 821496495, + 653788181, + 94551982, + 332625209, + 109485981, + 405309324, + 967278837, + 779898013, + 162155505, + 817289648, + 214179507, + 911562593, + 104057462, + 981676340, + 362394984, + 292762382, + 523970729, + 122087581, + 52929677, + 77580388, + 740660794, + 409165718, + 432087289, + 90518256, + 396568912, + 62730687, + 494126732, + 530822156, + 444160081, + 269372410, + 13544963, + 238024512, + 889058075, + 311508940, + 388286696, + 297291369, + 989009812, + 922751761, + 36957370, + 559481480, + 68283427, + 337576586, + 929624300, + 663562937, + 709580219, + 423932956, + 368919144, + 634553916, + 217318479, + 903860449, + 42555110, + 869486039, + 300383653, + 617838464, + 165613951, + 938608046, + 952763726, + 229689389, + 514481480, + 662590224, + 318254559, + 177847862, + 603701410, + 953093723, + 678552383, + 524361638, + 518621982, + 83524316, + 298381417, + 481688608, + 488430590, + 723431923, + 869764527, + 161002847, + 349599614, + 179815660, + 582868051, + 597633518, + 811388361, + 812368800, + 916842283, + 98799713, + 15888143, + 533305176, + 322575546, + 146696457, + 776704479, + 800484601, + 403989946, + 786064931, + 379681009, + 536176554, + 394135659, + 904228305, + 770721983, + 321892804, + 353383813, + 707622662, + 164386384, + 643475333, + 103612459, + 873923411, + 419819702, + 656697625, + 616632211, + 32981178, + 90592628, + 11268692, + 271740308, + 123208160, + 401084923, + 806102458, + 616814390, + 105018622, + 29725533, + 107842426, + 535466463, + 259068045, + 812045590, + 488230438, + 311469982, + 59870257, + 248692410, + 216310648, + 949945793, + 571392323, + 112896397, + 132246696, + 331578634, + 677452537, + 254982251, + 617415555, + 103051260, + 127883316, + 300217651, + 270899255, + 243834588, + 325323257, + 511760204, + 654590460, + 280151316, + 623275330, + 15429939, + 687341326, + 926955745, + 326957373, + 484412951, + 543107233, + 874717104, + 165528270, + 369128639, + 703535519, + 279764353, + 107903664, + 896067598, + 533788873, + 568714974, + 605711581, + 297401308, + 966500872, + 869354117, + 196170273, + 835285782, + 430911187, + 303794005, + 375870326, + 276387423, + 923975170, + 178953028, + 261023706, + 189311877, + 274299531, + 796745701, + 478067124, + 50441558, + 161403949, + 866885738, + 810981592, + 773366553, + 580785342, + 37903099, + 209862609, + 649476435, + 302347862, + 549425945, + 842272730, + 835948578, + 680952477, + 271147694, + 270961407, + 763143034, + 632412168, + 865217851, + 923550785, + 206079725, + 420586269, + 799701054, + 114994376, + 416385747, + 830944790, + 337607035, + 715665117, + 800633857, + 976965746, + 173027967, + 846548442, + 436422307, + 75730865, + 462235105, + 179401832, + 221378691, + 944407173, + 160127530, + 345153656, + 543692161, + 483702958, + 92057840, + 971506228, + 279937154, + 477293598, + 77548566, + 331391489, + 852722776, + 765339827, + 718713237, + 222818622, + 894450660, + 551544118, + 936430017, + 16168034, + 491793612, + 902399490, + 809919345, + 477794887, + 895174489, + 287393876, + 491434744, + 450293316, + 426530152, + 558999004, + 696945012, + 384049721, + 410261235, + 97933182, + 200680637, + 185349638, + 766153575, + 87929963, + 307892758, + 321059538, + 890233666, + 309611078, + 670647726, + 551732814, + 145310871, + 313627502, + 245966363, + 824533718, + 377453223, + 171339762, + 858064970, + 341523746, + 402713469, + 40873556, + 253225403, + 81290980, + 733417629, + 37758374, + 25114969, + 784141317, + 899825618, + 812205427, + 736853177, + 723536791, + 80400721, + 816209210, + 953489114, + 491588768, + 773647691, + 521293359, + 702766242, + 199430356, + 793155978, + 801187870, + 600216723, + 389956443, + 469128753, + 882010142, + 268305050, + 530116497, + 597406520, + 577408066, + 915735486, + 947091940, + 376026355, + 605337957, + 55095498, + 119085681, + 304606837, + 491020121, + 381644720, + 8759261, + 200755830, + 889074611, + 629777262, + 906681287, + 692314422, + 936650445, + 766468853, + 335572390, + 101919549, + 739729337, + 500388678, + 912201004, + 172874399, + 482307649, + 4095673, + 395998648, + 708404726, + 832118048, + 973014190, + 218026184, + 701267271, + 542820428, + 460126794, + 488819498, + 221205037, + 670641271, + 317555577, + 498454373, + 70163853, + 68833048, + 390535526, + 168158476, + 347551838, + 464211638, + 518506743, + 915334316, + 493577721, + 417266195, + 225221304, + 785865460, + 154790355, + 227397125, + 149306691, + 722667819, + 531408060, + 509922263, + 145728031, + 399444814, + 995947710, + 537708929, + 990326565, + 879870733, + 662469984, + 186757688, + 142371740, + 367187412, + 444561814, + 172932415, + 607696874, + 293125151, + 477097829, + 198004047, + 658592660, + 885565462, + 735812337, + 203387210, + 802997509, + 14720734, + 761951290, + 120766677, + 728501286, + 497299105, + 202066779, + 990099218, + 978158440, + 671146272, + 447770334, + 193802216, + 252660930, + 505582646, + 822267798, + 407634040, + 20405485, + 414420025, + 677709080, + 685829119, + 3358990, + 833392572, + 785780720, + 17255269, + 392153236, + 372462024, + 347644795, + 150796706, + 731726650, + 420347065, + 590196723, + 441866825, + 304300753, + 538409041, + 801873276, + 190701861, + 241562168, + 176428676, + 144648867, + 364592967, + 926186201, + 256888551, + 151970011, + 724208570, + 405651423, + 699414150, + 944332303, + 975615975, + 807767907, + 907839519, + 866178192, + 620153433, + 870796990, + 667255944, + 636640938, + 661902467, + 197602057, + 177912062, + 401597122, + 639989973, + 618826656, + 306891431, + 393213341, + 179716395, + 218872865, + 645320644, + 458659307, + 435398080, + 499702679, + 210992247, + 591809588, + 946748785, + 52693828, + 942033706, + 364168263, + 948793106, + 531055027, + 381088744, + 147989894, + 614379709, + 97447387, + 864062105, + 261816467, + 829674983, + 651113979, + 598024344, + 631642380, + 878672990, + 396566849, + 86435122, + 956323221, + 566225960, + 214237259, + 322392165, + 603391567, + 755797413, + 141925056, + 886296702, + 631007649, + 270700915, + 511209009, + 944111816, + 246229654, + 593627539, + 495584646, + 964177676, + 626856074, + 420586797, + 292246522, + 702975773, + 395861055, + 429546334, + 979717573, + 633551830, + 463561159, + 42089758, + 153886383, + 663600476, + 593835618, + 643602361, + 279708686, + 611773378, + 652395358, + 665832971, + 566503289, + 940759769, + 829919345, + 84911913, + 33848036, + 218077142, + 805816201, + 257315906, + 287290311, + 512378183, + 124295045, + 537101359, + 869865632, + 60169310, + 949896725, + 895200317, + 745772369, + 918116608, + 929957653, + 308354420, + 466171888, + 826190947, + 676980663, + 762208763, + 490716418, + 765189435, + 243171423, + 719624691, + 671376257, + 256041224, + 650609602, + 500423092, + 171620436, + 104022575, + 803273831, + 170408275, + 380146168, + 439029363, + 92966740, + 190727326, + 371082725, + 520103943, + 861152372, + 373302844, + 586626657, + 18855617, + 667959685, + 349778558, + 859177732, + 625998006, + 988548264, + 615111162, + 307766823, + 835458789, + 61524304, + 580918193, + 490303308, + 561014985, + 384218539, + 894108139, + 213124033, + 594918271, + 325819490, + 93988505, + 68530576, + 870566218, + 992034269, + 28497569, + 765795488, + 810466544, + 698914910, + 903245931, + 399362109, + 52461938, + 513569711, + 704842936, + 5740928, + 133930666, + 614786644, + 812574471, + 27873113, + 75961449, + 772005911, + 734312701, + 98165838, + 484025330, + 663201194, + 730948457, + 510345543, + 213245720, + 367915571, + 564045725, + 204204197, + 932759820, + 685406721, + 727127191, + 899213229, + 404998382, + 623483368, + 638187727, + 279218558, + 363304743, + 817550756, + 331586479, + 367285814, + 628969182, + 162834044, + 665620180, + 42879863, + 295895973, + 845433367, + 116737024, + 681567555, + 241742271, + 965822757, + 476558217, + 601139452, + 728337800, + 77383824, + 181931848, + 286188985, + 495793646, + 17211381, + 661760786, + 935863207, + 168621316, + 87385813, + 837648601, + 787820526, + 378983903, + 933476077, + 774830545, + 44172938, + 227254170, + 339957832, + 934667268, + 369760544, + 503349334, + 1300610, + 30194697, + 294492957, + 860230577, + 431277771, + 260933439, + 249530981, + 404844917, + 715524925, + 519110372, + 149482339, + 475687065, + 20809637, + 187081805, + 303630298, + 142098294, + 42488725, + 225275226, + 273293966, + 146793419, + 521067909, + 557259613, + 538114914, + 288022823, + 505188527, + 950451136, + 542197132, + 510285571, + 83615108, + 203572573, + 721186910, + 105606839, + 381999636, + 773650688, + 26888501, + 198575715, + 66580867, + 661393874, + 782163377, + 2980831, + 358473041, + 563989103, + 909593567, + 137669380, + 557820305, + 113095562, + 877368595, + 674966579, + 265562610, + 166961905, + 617447197, + 887834030, + 333722460, + 55345974, + 474261352, + 134399905, + 317291596, + 752893094, + 173797853, + 771515640, + 692149519, + 931631417, + 770987563, + 980954737, + 904734549, + 378032296, + 735405168, + 470399345, + 5223343, + 479821075, + 76741115, + 989581048, + 464714214, + 518851647, + 360828038, + 996151474, + 937390374, + 315420064, + 483668734, + 99505404, + 532161887, + 914494410, + 304192285, + 306356634, + 443542747, + 953369482, + 133673137, + 460118104, + 382475159, + 405243685, + 643954148, + 464970023, + 635694851, + 71988540, + 727815720, + 822761199, + 49783590, + 777292906, + 162800216, + 613035651, + 107737561, + 962462769, + 260957505, + 742174756, + 377778448, + 669589216, + 618683022, + 36928359, + 424362506, + 650509454, + 616116159, + 690227938, + 883519558, + 987357226, + 601689899, + 586888860, + 387493489, + 709735608, + 349887464, + 112413828, + 503103568, + 984401736, + 94569181, + 784431985, + 669806977, + 46385063, + 34683728, + 432687935, + 474018040, + 508406096, + 134374082, + 918667499, + 860575247, + 36241328, + 482182020, + 714755365, + 727326641, + 561704795, + 882354829, + 433727391, + 284082888, + 738656970, + 427655948, + 143183496, + 732865635, + 209324256, + 976744265, + 402560415, + 199682761, + 939326070, + 30651731, + 34853947, + 37232901, + 283006825, + 141780434, + 906944728, + 123067972, + 223535420, + 11646228, + 403349389, + 602609961, + 675930780, + 868075260, + 856394108, + 341033628, + 515327198, + 811887611, + 969170618, + 516571935, + 391924100, + 644876227, + 933096835, + 22807274, + 340117802, + 415408026, + 5547985, + 164367545, + 614670634, + 637294122, + 790715161, + 124399409, + 877926096, + 584343287, + 783307204, + 845652875, + 920175812, + 724031081, + 489205272, + 592999870, + 715141348, + 754870919, + 514258025, + 145055453, + 799580773, + 403282483, + 754151279, + 314529142, + 36159509, + 101472995, + 317613485, + 107658630, + 329403626, + 533254384, + 29295663, + 598671291, + 153123433, + 626774160, + 308699528, + 272929534, + 126169446, + 263447992, + 730373908, + 262446590, + 333664842, + 415809542, + 198620989, + 452989877, + 389561813, + 687843731, + 52109923, + 278127158, + 91979809, + 948713106, + 898536543, + 796061726, + 605610151, + 937133816, + 576883685, + 727289597, + 916072755, + 887294680, + 443985901, + 642358078, + 408546035, + 711619805, + 75179366, + 865307648, + 95893680, + 471951979, + 756167927, + 80786122, + 793402127, + 78649037, + 240779539, + 589819856, + 958978138, + 611637511, + 946140423, + 893636953, + 667516950, + 7997866, + 604300711, + 632010541, + 873972503, + 631131752, + 549429524, + 717165010, + 348746027, + 95238619, + 614079314, + 698819380, + 635627559, + 500328634, + 199532546, + 18140766, + 207832216, + 401266034, + 399116655, + 893465913, + 500526205, + 290600605, + 654806666, + 366671446, + 780674128, + 756105026, + 501537079, + 17361520, + 883149953, + 680443420, + 737835255, + 635831786, + 826421406, + 288748375, + 681072556, + 775310554, + 338083331, + 865969486, + 188530625, + 20776679, + 130876610, + 406458393, + 530090550, + 478642156, + 196946221, + 519055383, + 114044597, + 139128559, + 651847167, + 982954587, + 844965804, + 878040956, + 62353954, + 935332505, + 911616025, + 580841829, + 221197616, + 65887153, + 542219308, + 226157176, + 727189362, + 675105093, + 323328133, + 747370259, + 948034449, + 414247081, + 41121413, + 790356886, + 476499712, + 690407099, + 664284945, + 775383681, + 64722277, + 210048143, + 834351139, + 545551393, + 2065049, + 952287959, + 859679162, + 856780670, + 809782698, + 534142021, + 13818955, + 431105379, + 965385027, + 134013072, + 202865071, + 559431478, + 119995433, + 37243472, + 525476124, + 344541499, + 440109904, + 429565742, + 311027744, + 783965953, + 590536079, + 17718156, + 307700604, + 605653776, + 251940451, + 693813795, + 211942185, + 743592536, + 70614638, + 790805599, + 285983908, + 491135616, + 457646547, + 627959560, + 570273199, + 591317731, + 44243485, + 33746176, + 244127549, + 422090531, + 244946346, + 967603413, + 416626923, + 282646633, + 964419821, + 380866430, + 627776442, + 559651164, + 463994093, + 977318358, + 515991572, + 763009233, + 787458121, + 322099709, + 348955125, + 175060411, + 316941046, + 13911777, + 389624641, + 839172413, + 274729974, + 360181348, + 384597437, + 609078213, + 264891881, + 804755286, + 838545014, + 542241111, + 432206422, + 691180874, + 113212351, + 149244, + 709435707, + 138407849, + 569975309, + 653693334, + 908486710, + 317715783, + 221669859, + 106238201, + 580602141, + 888237594, + 988596343, + 273631392, + 758478236, + 856043730, + 837593374, + 943782842, + 587388081, + 579239540, + 767832296, + 145461827, + 633741245, + 840645273, + 790580105, + 751185222, + 624579060, + 499518580, + 944733832, + 29189123, + 511597592, + 501337168, + 641839541, + 832500105, + 431750222, + 786917378, + 44826211, + 3405666, + 283642148, + 335756434, + 44637757, + 429007724, + 237649594, + 671466264, + 301070852, + 302251977, + 607814738, + 492529865, + 509896469, + 791993432, + 826509974, + 950141501, + 434587278, + 200132451, + 854674080, + 101581156, + 809117738, + 268145027, + 348019255, + 27395412, + 19531824, + 969859497, + 828856096, + 820915727, + 119326883, + 207944489, + 876788413, + 42142078, + 744276091, + 714331903, + 756560325, + 226653914, + 560498752, + 316200008, + 497959067, + 111220722, + 553904348, + 990930074, + 911056068, + 399903610, + 165537350, + 847470491, + 475305663, + 602259888, + 453937300, + 711716400, + 332076848, + 851950329, + 392114634, + 210226938, + 920594397, + 740785008, + 587498666, + 84276948, + 714357099, + 861039409, + 179911107, + 305184440, + 546728516, + 460749209, + 124255529, + 13724877, + 332991489, + 857079878, + 662112331, + 35198647, + 138814131, + 811798651, + 820686481, + 364239785, + 65157433, + 865982492, + 407152012, + 362253435, + 194228283, + 94568838, + 62603026, + 554652288, + 805727087, + 257283869, + 951021506, + 85336919, + 341832420, + 335479861, + 33308057, + 751013954, + 503888405, + 233697326, + 488187490, + 887275206, + 594985441, + 832119941, + 278565759, + 483406838, + 524416197, + 451058774, + 773605442, + 628357800, + 363680392, + 644243528, + 210154545, + 190314289, + 95687297, + 778815637, + 128938813, + 506146360, + 232999281, + 266284961, + 419294959, + 985416909, + 703417941, + 97783891, + 140897055, + 151847103, + 437746353, + 203578261, + 5235900, + 577935268, + 912142210, + 381629486, + 594909629, + 949483737, + 485072739, + 175357182, + 779405757, + 683491560, + 296307771, + 331398983, + 883035212, + 825581906, + 837140667, + 136333511, + 764480513, + 518771940, + 728267529, + 352401977, + 974242580, + 700400823, + 398912481, + 665811547, + 635594746, + 158890307, + 326859558, + 963490747, + 727664775, + 375686757, + 523904398, + 500949844, + 464362759, + 945478182, + 674196808, + 405880446, + 870271372, + 915563184, + 523951441, + 401847204, + 630792705, + 496451116, + 729942382, + 672189552, + 484997535, + 346279844, + 385461435, + 996251719, + 677938035, + 46115834, + 270389257, + 381981623, + 551464765, + 56306901, + 228034957, + 247089304, + 619155934, + 866152714, + 785712927, + 60872817, + 973888678, + 499777525, + 424198094, + 677149722, + 362012181, + 602750277, + 659408573, + 889094210, + 537660321, + 288456718, + 668935626, + 169189110, + 339691399, + 662578177, + 288925095, + 122879108, + 849291049, + 308756399, + 946664131, + 153805056, + 483308704, + 830016259, + 129149136, + 502773036, + 312312265, + 406770600, + 956504364, + 541059915, + 229949428, + 270460903, + 215657186, + 643914165, + 248497792, + 379704920, + 867435729, + 99696621, + 667917511, + 715800801, + 947119808, + 69433937, + 533244994, + 413531763, + 161759822, + 215872503, + 128752139, + 421768383, + 365299332, + 815570092, + 24612329, + 689597831, + 839368775, + 276694060, + 410711452, + 231143688, + 87526177, + 209798370, + 386981896, + 222540169, + 720153433, + 334156940, + 988335516, + 498610949, + 641095040, + 758997416, + 471503543, + 405840403, + 823635913, + 963453175, + 389796456, + 134859727, + 565116944, + 655520432, + 976908689, + 15287562, + 173525579, + 923126328, + 933599959, + 18493022, + 200433164, + 603841862, + 233771115, + 370386054, + 702857570, + 524950935, + 637328214, + 522723476, + 857904248, + 786967061, + 738057317, + 791959135, + 515404818, + 945316587, + 720358916, + 910725708, + 51557301, + 367994574, + 562738792, + 375569226, + 969021927, + 821834900, + 29926609, + 580948448, + 990141943, + 28424974, + 106428668, + 614678002, + 333748456, + 895198697, + 891104825, + 799381086, + 676839139, + 378809804, + 506584328, + 668313895, + 623790011, + 14674258, + 985329033, + 253905361, + 697167280, + 112970772, + 469464594, + 10172235, + 392402507, + 139262805, + 750985758, + 598295396, + 579497607, + 508501945, + 396627389, + 904655150, + 388534310, + 987470296, + 797971728, + 446547116, + 304515496, + 76658662, + 122258339, + 257216575, + 195438056, + 450292681, + 970089567, + 160364075, + 686947112, + 910488359, + 176509791, + 247282195, + 206222640, + 302276991, + 551188671, + 629709073, + 733254839, + 748140098, + 371973235, + 980188554, + 374662086, + 628994312, + 498311052, + 31013667, + 89920248, + 861692325, + 356496556, + 422467305, + 571544054, + 704478905, + 685990050, + 821278486, + 307978767, + 240423978, + 924000390, + 38156173, + 81895509, + 578235901, + 788105824, + 25358510, + 952500594, + 918380037, + 673558825, + 905628695, + 98010129, + 989403320, + 169645377, + 308727183, + 343031258, + 340942787, + 608648268, + 148750279, + 872756742, + 206041206, + 865128663, + 278226368, + 266060436, + 985401900, + 350884407, + 204170892, + 404204690, + 160341059, + 327037641, + 430975292, + 526070821, + 71413476, + 783800571, + 877632212, + 725895674, + 62814042, + 380445468, + 644707242, + 705240648, + 176597001, + 92831030, + 107733959, + 611326362, + 657432952, + 69687031, + 996677701, + 230915540, + 323515128, + 450739387, + 881471900, + 584368573, + 679560111, + 922620212, + 820677725, + 637916690, + 675204495, + 973606389, + 332763526, + 122347876, + 731389898, + 526871944, + 729605012, + 986577427, + 903387313, + 137725640, + 62367128, + 453651040, + 395423870, + 823473407, + 251466037, + 760601029, + 852658862, + 980365940, + 716653084, + 771278816, + 188877850, + 776196840, + 206657149, + 781784163, + 239355293, + 663726884, + 188657155, + 230612681, + 342053061, + 594167311, + 174632924, + 639150676, + 119326651, + 789829862, + 717536391, + 567052071, + 740326314, + 732131640, + 699610568, + 621604968, + 247029495, + 928990834, + 349274655, + 20522836, + 875859808, + 720157605, + 951589978, + 322161884, + 235621855, + 409473782, + 609007302, + 556648580, + 8390490, + 601490123, + 138401717, + 144589149, + 694018422, + 371603226, + 524340811, + 585499715, + 714942877, + 207892975, + 655023551, + 321231063, + 45945753, + 409961359, + 464138239, + 973525267, + 891328563, + 97999747, + 439946096, + 182411808, + 993372456, + 228796976, + 497178451, + 563830627, + 888167231, + 736495565, + 335655228, + 536437602, + 962269709, + 721474015, + 305638542, + 681842616, + 497594033, + 732272442, + 335687413, + 747341891, + 178883501, + 543111759, + 48162938, + 773279464, + 223141816, + 795215725, + 641593351, + 498912657, + 314375697, + 772709820, + 627400168, + 414710102, + 926088306, + 987657227, + 190854327, + 77137767, + 562484173, + 266298378, + 581166336, + 745653072, + 969536419, + 543219474, + 143769678, + 178676485, + 860504313, + 317563372, + 259406622, + 717258975, + 622870643, + 156857528, + 251775974, + 628169314, + 388574373, + 895269620, + 372024608, + 808026632, + 27714937, + 425062738, + 698360762, + 77582372, + 775160790, + 718978129, + 566287854, + 599362395, + 72122246, + 54816022, + 647279688, + 492401984, + 514011443, + 228822841, + 894760401, + 432844100, + 214438828, + 301284660, + 681848557, + 148795090, + 241149751, + 845301932, + 658582114, + 768280041, + 947867508, + 702901328, + 905941552, + 174980326, + 166357962, + 933128731, + 204091370, + 428325874, + 315578609, + 426630691, + 501437731, + 263083171, + 313289102, + 378024982, + 811163074, + 896605437, + 315420805, + 253353560, + 143079134, + 744444932, + 145754841, + 238048654, + 320305749, + 789409073, + 551478604, + 187070592, + 80323794, + 835582219, + 163086436, + 340370945, + 516563283, + 878013578, + 182387742, + 880832226, + 912233766, + 770659639, + 804913180, + 673597384, + 237817484, + 670469668, + 948439259, + 914969076, + 876883565, + 89633973, + 630977507, + 428839562, + 912197272, + 983113983, + 565096697, + 685793387, + 331565895, + 533814312, + 625979895, + 483785559, + 864997348, + 437620001, + 307834843, + 181748831, + 900521518, + 423360488, + 188001069, + 130035767, + 150317880, + 594002074, + 737216307, + 957171552, + 109978028, + 198143309, + 966900500, + 856062976, + 303577280, + 697525840, + 137336397, + 543672041, + 784204026, + 211380076, + 325559882, + 63801235, + 501829366, + 951165833, + 519903387, + 47802369, + 41407174, + 348614142, + 773779652, + 724084450, + 604561140, + 16764475, + 381926008, + 663968842, + 335278421, + 570428434, + 41859330, + 609202142, + 427128913, + 844714942, + 945291393, + 337730901, + 501477967, + 630750258, + 286423732, + 974621563, + 623881546, + 559317712, + 405179056, + 705962120, + 496168946, + 901286323, + 980178638, + 713832492, + 989740250, + 336259995, + 213632017, + 380347256, + 876831772, + 427075652, + 998613200, + 709267859, + 965569922, + 41037362, + 639543265, + 389779466, + 444948947, + 187437238, + 907115341, + 738161343, + 486912589, + 922324875, + 125514310, + 787003433, + 300033978, + 490101878, + 606096007, + 39746711, + 196431154, + 319239330, + 957651710, + 287029057, + 932724963, + 891922484, + 399632361, + 749794095, + 427710809, + 881703527, + 846511386, + 489290705, + 879900606, + 8646401, + 119999740, + 406954807, + 856909016, + 277756403, + 517076984, + 684896561, + 558258782, + 804572941, + 10782320, + 656251647, + 689100239, + 825230437, + 197063603, + 29355297, + 525896150, + 552354982, + 245945992, + 716590226, + 435211993, + 215670339, + 581877531, + 49533339, + 889657698, + 820871438, + 175082498, + 33833647, + 509779831, + 523238406, + 920160333, + 605220052, + 971853347, + 356338937, + 714475918, + 437068095, + 883251094, + 414745864, + 281048399, + 400205615, + 75008093, + 201050530, + 599930129, + 887752971, + 206052048, + 255208993, + 515885823, + 859465453, + 61522625, + 53653198, + 248587976, + 998377410, + 292514883, + 670336885, + 542566520, + 484741680, + 363322089, + 428025067, + 843128984, + 608770057, + 484694981, + 353867676, + 713740051, + 145546920, + 76632583, + 462978899, + 277190053, + 405095494, + 651425185, + 2382353, + 263770364, + 86277363, + 452278581, + 508865559, + 521364427, + 347277539, + 551370929, + 478459301, + 970196761, + 334959179, + 496894344, + 845482053, + 400294502, + 61097412, + 867906140, + 51232511, + 561804829, + 56493562, + 743579313, + 875454964, + 936730013, + 887763707, + 592096434, + 229083337, + 731371594, + 536002704, + 359472383, + 408541095, + 734879479, + 508901650, + 747347318, + 51232778, + 895476482, + 188565043, + 706729304, + 139901244, + 926927420, + 548754632, + 141389560, + 539649339, + 158092537, + 853986578, + 654482596, + 350057482, + 913000620, + 377565459, + 307005708, + 572393240, + 852651005, + 202774458, + 429029628, + 538388583, + 43243475, + 614756376, + 51612641, + 806492929, + 316664749, + 119722652, + 438856731, + 339203041, + 302246810, + 310809883, + 885372574, + 938960106, + 365961503, + 661174049, + 609350538, + 892229590, + 503760913, + 440869156, + 514731486, + 862133031, + 384774904, + 605564512, + 63342572, + 619062769, + 252318734, + 850972184, + 230502227, + 839170044, + 228638321, + 321910896, + 723598918, + 310871881, + 973470739, + 929234324, + 672118224, + 59832857, + 672553980, + 473573851, + 812341883, + 390256933, + 831384735, + 193583011, + 768624917, + 101233160, + 274250373, + 526688062, + 40426463, + 689997032, + 626300471, + 984080254, + 599299291, + 361085179, + 973969617, + 136845671, + 161245930, + 10071770, + 361925808, + 849684956, + 372327818, + 666148904, + 387759756, + 167894470, + 737125008, + 784171134, + 351376990, + 353005609, + 528023496, + 994243522, + 145214693, + 619775288, + 995717305, + 403556058, + 919508318, + 373903425, + 607868194, + 617217521, + 40505437, + 549781282, + 261528354, + 468079334, + 450096082, + 919937528, + 954336956, + 812408577, + 727430643, + 397690443, + 213042333, + 550606512, + 858584873, + 877844939, + 202600987, + 891399474, + 947584164, + 352292550, + 149160727, + 374169070, + 18300689, + 603437300, + 374339317, + 35282235, + 112180510, + 878994637, + 36465305, + 726866071, + 820658012, + 251430562, + 416786392, + 683150830, + 831793699, + 139859659, + 402598883, + 94378261, + 39194310, + 300461467, + 127708158, + 352056217, + 794473357, + 622442097, + 382830924, + 666482877, + 262129358, + 18133550, + 990016424, + 360934944, + 979679534, + 732899546, + 840296224, + 953045787, + 15373, + 997276116, + 770433192, + 3767936, + 452540333, + 164983106, + 703532049, + 139954857, + 996501759, + 487375711, + 279816681, + 27915572, + 376620567, + 844620044, + 787507840, + 316212934, + 525987674, + 565802056, + 426030674, + 978918641, + 19201250, + 944959094, + 870126572, + 478617760, + 114741511, + 451185078, + 467321599, + 78735171, + 971713009, + 198766436, + 40990175, + 700312784, + 549261220, + 565126202, + 360233081, + 658669736, + 458919164, + 583924950, + 469097072, + 746725301, + 512512323, + 498510671, + 355155210, + 628905275, + 900264324, + 984077594, + 815017604, + 394046757, + 390673621, + 586457485, + 574770808, + 317048357, + 920220949, + 30930886, + 456697945, + 500132973, + 484411951, + 450951288, + 46588628, + 467211643, + 803489767, + 729288942, + 642342948, + 269468742, + 609784032, + 983602674, + 496366014, + 980735884, + 391164265, + 750244820, + 983199393, + 14534793, + 86476794, + 755273961, + 469047061, + 839464113, + 341600711, + 835890878, + 449647058, + 732659769, + 896136688, + 297447478, + 430114134, + 297298388, + 735034405, + 696491188, + 582165853, + 160080174, + 230225608, + 801097214, + 463371504, + 730572047, + 511669560, + 851303472, + 736127240, + 449536227, + 962730017, + 645368139, + 406802233, + 402436153, + 389650282, + 98550855, + 756967866, + 58232260, + 212733957, + 610967177, + 879316604, + 61078811, + 378127748, + 144198419, + 575051398, + 320426193, + 175610390, + 120126405, + 509335018, + 6981649, + 301776696, + 395893113, + 159983082, + 334565426, + 222906151, + 808501696, + 182794663, + 961727838, + 241712984, + 616507619, + 895479993, + 295669833, + 432000326, + 613402744, + 554238745, + 811907672, + 567682361, + 176439617, + 481239439, + 688703675, + 573780415, + 201007674, + 785359569, + 314725441, + 788191419, + 829737775, + 682144896, + 380655130, + 513392046, + 858810819, + 881642267, + 174994365, + 108327454, + 498226452, + 361670275, + 37956596, + 209715234, + 535805938, + 682438159, + 688437803, + 953138512, + 951169768, + 616929900, + 689590842, + 271963035, + 606223204, + 419207728, + 302205192, + 438554755, + 54546966, + 284660638, + 218128197, + 550210681, + 843253862, + 220634105, + 410861308, + 349174655, + 272621424, + 352222459, + 736508794, + 588771734, + 779370090, + 857480902, + 745677570, + 693618527, + 735862941, + 291877913, + 531950257, + 720670626, + 49812239, + 357449331, + 395235959, + 746868290, + 44791195, + 808625255, + 189323893, + 855330218, + 746778175, + 87995227, + 77312615, + 456430459, + 853075529, + 101585697, + 276859281, + 43518050, + 722471123, + 722042764, + 326599861, + 968788127, + 146630605, + 250602068, + 102659130, + 729014644, + 275090663, + 482445211, + 598774619, + 510029883, + 58120426, + 499112705, + 719152897, + 677976947, + 598822977, + 474334335, + 658214181, + 628543567, + 198895256, + 720727644, + 864823889, + 224673013, + 188577003, + 854536343, + 541768863, + 576922483, + 377733930, + 574384508, + 784470426, + 421210855, + 486498132, + 696605683, + 539927073, + 913820694, + 636841536, + 863096350, + 151370672, + 256859243, + 132566970, + 211124277, + 369184892, + 723244961, + 959044623, + 595290980, + 493680576, + 922202350, + 694442637, + 609620081, + 518921681, + 164764484, + 762391857, + 156113384, + 507359211, + 790101723, + 660159745, + 232201150, + 163795322, + 55435734, + 978677744, + 633035787, + 71508471, + 827918514, + 887484062, + 243535150, + 708503351, + 294089871, + 260805695, + 174907109, + 84168836, + 344019606, + 977977540, + 896617804, + 693162593, + 585029938, + 917405736, + 771611389, + 979099181, + 566254971, + 793501372, + 404234249, + 800615917, + 122862319, + 78710425, + 577044214, + 762930623, + 894340720, + 129593303, + 425182056, + 23199828, + 590275301, + 399912770, + 648190306, + 83038023, + 604004991, + 100509851, + 269816559, + 398677867, + 747522278, + 685777269, + 927006982, + 875059926, + 88443430, + 598888934, + 147807703, + 949519026, + 936384185, + 887799770, + 186171577, + 8059881, + 721670213, + 182003147, + 639103104, + 695737162, + 589925957, + 672603871, + 882623802, + 999712032, + 599173840, + 398962414, + 171808060, + 733820300, + 346838708, + 308205730, + 526788208, + 534291804, + 310573422, + 457045868, + 489540142, + 331000898, + 939538987, + 976217559, + 711582303, + 892978643, + 967180419, + 53721378, + 561689789, + 108654321, + 655043893, + 427740996, + 17492617, + 570256158, + 854377660, + 112234644, + 709219699, + 856186789, + 380316988, + 662367450, + 767795126, + 73630187, + 426956061, + 474693065, + 86603869, + 911968255, + 790864362, + 751647647, + 993277827, + 360358821, + 703587670, + 146868131, + 17728860, + 595136778, + 132116878, + 709047013, + 216041957, + 249025134, + 433801233, + 609398788, + 620998759, + 592373554, + 48930352, + 947068547, + 94276598, + 704898842, + 964321413, + 660060113, + 419244928, + 158403352, + 853027779, + 524017971, + 359123313, + 649782863, + 180686177, + 169871864, + 392286647, + 543618265, + 36395324, + 882984626, + 847584966, + 528682648, + 768470106, + 550441400, + 108742834, + 24858159, + 397686273, + 229789564, + 270236369, + 754705661, + 544346930, + 511718913, + 129781482, + 850548701, + 19515091, + 360512585, + 244238204, + 760696462, + 521997713, + 835451249, + 194050124, + 50626355, + 660986784, + 571454222, + 496473620, + 417900158, + 504954919, + 327639000, + 368523957, + 543753455, + 60778331, + 892473911, + 584418233, + 620057786, + 612393155, + 620364848, + 530701726, + 593568870, + 732499260, + 360410387, + 386081400, + 153718913, + 400703436, + 52867793, + 769688712, + 464179773, + 607771841, + 841338427, + 868322901, + 49905572, + 631960808, + 856455674, + 337570224, + 125180096, + 798665259, + 800421995, + 740986502, + 220866814, + 414431716, + 636022647, + 49459486, + 554740424, + 38853209, + 120471779, + 480649060, + 640098475, + 384093864, + 798791246, + 48595479, + 110996841, + 265266820, + 545079580, + 238761053, + 457349771, + 409315974, + 755455249, + 558224387, + 728623114, + 639065995, + 246199180, + 9114078, + 225012306, + 724747213, + 727230867, + 264380695, + 677643822, + 312193883, + 781420614, + 117169346, + 665402836, + 657919421, + 527488860, + 689166624, + 124603220, + 548287749, + 360722402, + 656652841, + 467540246, + 670564529, + 4216198, + 900130653, + 555635685, + 496703242, + 463601738, + 304296113, + 559035322, + 295297828, + 311010352, + 509385968, + 853958649, + 784173712, + 127573317, + 122812045, + 217934172, + 625465655, + 668321558, + 983136553, + 708122049, + 894654344, + 844427637, + 650748072, + 646530810, + 687389193, + 101128355, + 441318268, + 376413187, + 221763508, + 125779457, + 69419746, + 49203201, + 522350807, + 625363647, + 678678430, + 217213394, + 603742665, + 515749745, + 217860539, + 582919085, + 401084996, + 818886876, + 328131760, + 455008496, + 499830688, + 722679797, + 76509633, + 103593814, + 818669023, + 775740326, + 184516199, + 7685695, + 558716120, + 541938693, + 642081704, + 777680129, + 96498325, + 655924387, + 975970872, + 595610703, + 77272960, + 546596516, + 954811927, + 595600993, + 880808499, + 164450087, + 735070806, + 597118196, + 702728380, + 731908101, + 466569011, + 680759384, + 764213866, + 802780483, + 289947056, + 61424476, + 116058213, + 88099621, + 971943955, + 319991548, + 611829200, + 963434479, + 474668649, + 566116429, + 505412101, + 908789874, + 726738654, + 369894120, + 82620437, + 548842377, + 232947416, + 52327729, + 433352283, + 414563553, + 693512357, + 294309348, + 596714856, + 547113472, + 909135606, + 347117444, + 118662652, + 257474198, + 480740368, + 987000901, + 179681175, + 880234580, + 379159384, + 924645285, + 796847248, + 865753083, + 254250388, + 290257676, + 231170861, + 449799767, + 698418766, + 399766491, + 515217698, + 765650061, + 249587906, + 407499750, + 93781907, + 183610469, + 2321929, + 615503215, + 468784357, + 443023406, + 88882383, + 971803587, + 663868099, + 59567724, + 277565921, + 778679221, + 71912546, + 873227631, + 619627840, + 778290872, + 796854045, + 787733744, + 439908832, + 964615367, + 256087313, + 534069083, + 790431276, + 867170327, + 901210900, + 627783728, + 950502565, + 807463437, + 396981484, + 334428065, + 14534556, + 451158362, + 922971190, + 453607452, + 220884446, + 670716684, + 247940206, + 143047490, + 383737193, + 181861444, + 542367583, + 310434015, + 250798893, + 174685305, + 995068011, + 900251870, + 353883668, + 853653357, + 483140462, + 985454337, + 621289480, + 483584815, + 950985017, + 382756065, + 564581712, + 518789229, + 544800656, + 163828514, + 142985431, + 401822910, + 103977366, + 56329138, + 625005290, + 975360590, + 676281869, + 438116056, + 401056922, + 601614231, + 459420890, + 346869162, + 114812322, + 106592353, + 42944056, + 113258009, + 755353747, + 500629524, + 910954403, + 156626096, + 676652497, + 349118279, + 484505817, + 501268425, + 685217038, + 944994198, + 24507502, + 639641940, + 393107567, + 703965362, + 244781623, + 446205114, + 824513506, + 850329452, + 246317929, + 27785941, + 401609303, + 466415365, + 535892486, + 749608913, + 763876056, + 38141897, + 791780693, + 692083459, + 957841976, + 277456469, + 750326627, + 386692199, + 679331812, + 228882113, + 29635733, + 170783247, + 369543560, + 940071191, + 601840153, + 515510752, + 626213877, + 518077651, + 532601014, + 889644807, + 620490798, + 44568272, + 55578066, + 494086100, + 536336366, + 42629548, + 123971002, + 7935435, + 561372961, + 143788903, + 90224380, + 850892602, + 417749652, + 730270646, + 836291528, + 423611354, + 233523814, + 498643877, + 631188437, + 151869452, + 400161007, + 172309753, + 616087847, + 444488735, + 102987453, + 502975554, + 810303193, + 602557418, + 124428976, + 505653401, + 729059244, + 304146295, + 90982286, + 263588047, + 748320961, + 388284560, + 664777602, + 603583560, + 717972597, + 61087417, + 215618977, + 840211902, + 891379273, + 83131294, + 161503198, + 486562364, + 622704586, + 264877427, + 666348830, + 123933071, + 669873358, + 401703381, + 302886540, + 597130375, + 801044244, + 220568814, + 459924332, + 165190378, + 912555972, + 184653153, + 346049620, + 238047377, + 812981350, + 33648885, + 84954214, + 38703894, + 525908831, + 14565868, + 274058857, + 703513094, + 622840516, + 506409213, + 293150435, + 641685287, + 508149921, + 193569247, + 40793630, + 908387030, + 296289771, + 845780867, + 94275982, + 758613689, + 240524383, + 725682845, + 287220371, + 366142532, + 567451863, + 779259196, + 475881056, + 327331242, + 59228070, + 689863636, + 915381308, + 393764477, + 596140071, + 96647024, + 743679878, + 356649233, + 514293000, + 984239473, + 815011605, + 87723271, + 91180473, + 931847415, + 376424748, + 230608455, + 335634883, + 568098719, + 308553847, + 321548022, + 170341896, + 14470360, + 469237965, + 828855931, + 402919391, + 567168715, + 317828487, + 904022270, + 475572924, + 979555330, + 319664614, + 88052342, + 126282152, + 855178124, + 175674539, + 830291876, + 911100696, + 142230218, + 643807268, + 133170174, + 13147186, + 34002344, + 701157829, + 778475383, + 901710444, + 688532048, + 637183689, + 46413801, + 145050406, + 687976624, + 976768437, + 859986624, + 804626066, + 533614941, + 327073018, + 179354321, + 493644793, + 616544455, + 61409701, + 561199849, + 890304712, + 816163611, + 423643973, + 747483890, + 257689900, + 165072457, + 25381974, + 633160565, + 815971508, + 126806903, + 184864224, + 415002742, + 205366569, + 840893602, + 241360343, + 85499418, + 829397184, + 587999281, + 10329229, + 926115830, + 210350886, + 25504080, + 476581111, + 123254679, + 606895449, + 76583042, + 192547656, + 492773730, + 185605358, + 400853624, + 585033999, + 708031336, + 412180256, + 825964821, + 781905042, + 622024551, + 952983723, + 222583759, + 616879966, + 298725360, + 715680135, + 349396085, + 285729589, + 752108659, + 801734993, + 360171809, + 325686472, + 116279272, + 826125520, + 61956937, + 764306757, + 847006607, + 917684861, + 700554904, + 959829390, + 268151651, + 904969097, + 266054488, + 606001497, + 999305338, + 672369290, + 827937986, + 374284153, + 909965535, + 463461955, + 181329734, + 368463070, + 153607173, + 889338775, + 662155889, + 483393033, + 963015571, + 717181138, + 147936010, + 784561804, + 430248572, + 324102226, + 880202079, + 123233620, + 917802285, + 144293405, + 453677049, + 711421792, + 106583886, + 119046641, + 986711377, + 63108601, + 116054090, + 628716319, + 513183494, + 80261572, + 316751255, + 800363700, + 342616005, + 726740720, + 252612276, + 717991781, + 866481209, + 917938335, + 732476485, + 764422159, + 269722012, + 743800690, + 284409016, + 727989235, + 874444652, + 966744323, + 878355701, + 650660334, + 935607095, + 980770148, + 60988098, + 647349136, + 888235232, + 528353866, + 685939846, + 465084367, + 985222410, + 286804540, + 875623754, + 859757307, + 690845559, + 202910366, + 807788388, + 430169902, + 449222965, + 764440433, + 712820280, + 308683313, + 530594120, + 762690091, + 765921735, + 417113171, + 28657474, + 771790122, + 710730219, + 716324025, + 788337348, + 800552416, + 277705688, + 675792678, + 520222859, + 19101338, + 115476223, + 574633083, + 413051437, + 619524949, + 378328913, + 505468651, + 786725263, + 709756403, + 321326995, + 310941073, + 621895323, + 621230616, + 645842220, + 12042243, + 470841862, + 488443792, + 358687185, + 646523599, + 432254545, + 772964663, + 726214518, + 395501656, + 460770024, + 482294903, + 401612651, + 941205432, + 56311955, + 170972877, + 95942260, + 762227625, + 139512858, + 42862214, + 676597626, + 399276082, + 629808305, + 265909890, + 289731895, + 478466102, + 522204670, + 697572365, + 799059260, + 991358480, + 254968398, + 792878964, + 548993540, + 356779601, + 633899380, + 440095962, + 816989624, + 451952360, + 896608073, + 782136977, + 481902314, + 131662046, + 648075590, + 843461974, + 600545643, + 384565027, + 940618194, + 340121157, + 132455962, + 282109091, + 401143692, + 173730048, + 43386970, + 915624202, + 449233431, + 290531651, + 164608350, + 288911136, + 306149316, + 397014374, + 341870390, + 374222400, + 653219180, + 650258368, + 985113901, + 29587607, + 378210148, + 382362307, + 462951324, + 632160640, + 323798219, + 59930075, + 665862878, + 131615396, + 805553808, + 123685153, + 546460986, + 535762293, + 547351310, + 464311112, + 634134582, + 942546823, + 680826928, + 688756691, + 323417483, + 430368764, + 966171665, + 900326677, + 297695148, + 592525187, + 233277586, + 283751243, + 326987011, + 727699483, + 620667137, + 24576546, + 551583990, + 874888429, + 414096503, + 239700718, + 268682217, + 695415821, + 539902199, + 759940925, + 552778296, + 133226163, + 711262134, + 888809295, + 879849362, + 469534637, + 870673379, + 390399328, + 635493568, + 111265962, + 963789334, + 986027263, + 56643179, + 370605889, + 66783933, + 494742526, + 989615807, + 840579315, + 413811219, + 184203386, + 838344520, + 832011031, + 497062359, + 98591176, + 308978043, + 577580567, + 160029493, + 665381845, + 826199376, + 561995896, + 356634123, + 790660380, + 93745487, + 656605956, + 464783673, + 30450065, + 420742524, + 958001553, + 5066574, + 466794373, + 334290425, + 884049434, + 532640488, + 930303573, + 95485959, + 452405146, + 680352248, + 882338363, + 851608258, + 962028073, + 91511461, + 26848662, + 529411339, + 631241906, + 803963521, + 725450791, + 571362014, + 337521211, + 643825877, + 299214342, + 549112875, + 272056497, + 292506176, + 258851704, + 915108080, + 205002673, + 37469240, + 307954400, + 162981946, + 19237505, + 130781279, + 295820354, + 167495545, + 813258373, + 938910888, + 859610879, + 20842671, + 939634900, + 121819605, + 873045113, + 88077986, + 697976440, + 686493734, + 143527769, + 974984554, + 503739341, + 843827083, + 892207544, + 663354004, + 271984781, + 504866821, + 977702108, + 937851518, + 283546791, + 322114948, + 70832123, + 127091208, + 510663017, + 289142859, + 959486148, + 552138056, + 307445015, + 726230854, + 436760654, + 358753429, + 133970647, + 422607847, + 998997500, + 846388725, + 143892011, + 733904539, + 620447460, + 62229636, + 604687395, + 697609618, + 68176943, + 810921443, + 341008612, + 865563678, + 580718837, + 405600568, + 573155666, + 117804850, + 957052050, + 283958261, + 170023882, + 768716815, + 492256949, + 671047038, + 7037610, + 81522487, + 382768011, + 667590847, + 328951339, + 18108822, + 904821365, + 26946969, + 614947723, + 341847785, + 965917237, + 969793156, + 602466359, + 352581442, + 493181037, + 567733381, + 363667521, + 737022209, + 32522294, + 51065796, + 840474078, + 454421787, + 422273149, + 520635536, + 57349295, + 630738832, + 139695705, + 591664026, + 381004410, + 194387693, + 934143076, + 814209073, + 944644236, + 89899746, + 548184505, + 470600647, + 176914388, + 13202620, + 318156580, + 457067238, + 708692155, + 353869759, + 550637306, + 607004220, + 25466895, + 979246133, + 126018376, + 752791373, + 877391112, + 176801976, + 613360760, + 692924574, + 229677017, + 298432239, + 393536252, + 770960240, + 280620434, + 300024702, + 179602568, + 316994063, + 446887606, + 777808638, + 549669447, + 611901941, + 598935025, + 892727733, + 55189679, + 965052188, + 847264126, + 321059344, + 920165790, + 172392689, + 861613910, + 468551360, + 105538994, + 735864845, + 806799887, + 272438802, + 274905712, + 979443091, + 45196455, + 43620675, + 167615190, + 729688143, + 676398661, + 219210922, + 539776453, + 907760758, + 970531033, + 794966680, + 872331510, + 458741028, + 270163883, + 933396280, + 21038276, + 207417919, + 599326826, + 96220945, + 913681184, + 788967346, + 996348225, + 418987639, + 838566818, + 518070026, + 59903215, + 981014708, + 609860417, + 274408060, + 396225486, + 693228197, + 595626986, + 204693377, + 956645615, + 338740107, + 60906927, + 904343169, + 75636732, + 478556284, + 579754269, + 21910851, + 238722453, + 420951830, + 531920503, + 383986213, + 520548427, + 256757951, + 124066665, + 93461619, + 2077471, + 403361689, + 263728569, + 396418090, + 365963283, + 388231696, + 147555407, + 476723696, + 660297848, + 329265544, + 797609924, + 125905467, + 770051127, + 59682270, + 321822848, + 828470157, + 916552944, + 981426371, + 503182462, + 455726695, + 662124546, + 938681627, + 419822102, + 320226586, + 278407800, + 319219811, + 443769549, + 500607983, + 883242140, + 55348389, + 794943858, + 331574166, + 80245592, + 922781789, + 209669301, + 76199789, + 374766480, + 158534931, + 424243523, + 291928807, + 457646388, + 465821111, + 958614286, + 837656168, + 454092804, + 936673035, + 380006796, + 800441899, + 250424783, + 515974584, + 489699893, + 852629576, + 604531406, + 735370858, + 976217974, + 458401711, + 969732960, + 420923194, + 406725141, + 146051040, + 105148925, + 516786300, + 474023258, + 81744693, + 275892953, + 304688504, + 321007350, + 162972813, + 454460104, + 810250044, + 207187824, + 197563107, + 526130816, + 761671795, + 512030194, + 193501971, + 149760218, + 960173034, + 808022810, + 745491715, + 425530249, + 446238038, + 562646828, + 594030391, + 341305742, + 738164146, + 221953282, + 149764579, + 640162616, + 380067085, + 110487770, + 364161281, + 285118635, + 914460090, + 238821985, + 406473184, + 655866498, + 924441417, + 392848593, + 874884845, + 249319609, + 164835701, + 646521440, + 967148280, + 663937897, + 493286202, + 992799841, + 469168988, + 303768833, + 828335552, + 338290811, + 814590628, + 666655474, + 539781291, + 818671891, + 327273687, + 512171554, + 812221636, + 89715562, + 704234186, + 702824149, + 313368568, + 174895299, + 459333224, + 574382525, + 218996366, + 471967931, + 37355429, + 350687392, + 275785144, + 489194688, + 176254151, + 117425351, + 442976155, + 570636686, + 422603672, + 756332842, + 366800796, + 720148055, + 188035949, + 616049030, + 82346053, + 799707975, + 588691934, + 148741776, + 132012691, + 760304543, + 910455751, + 896791542, + 272164613, + 637096497, + 693794431, + 855435616, + 199081630, + 442512721, + 996731748, + 625027741, + 70201623, + 777520694, + 261167516, + 69993196, + 413088058, + 211153187, + 966625242, + 911079091, + 61772631, + 942012637, + 670449573, + 258117252, + 379571741, + 658373481, + 704859575, + 534607666, + 647079088, + 804739664, + 103082964, + 555109767, + 359531571, + 771451622, + 515015872, + 573851672, + 999059756, + 67279214, + 840749794, + 358645896, + 949476093, + 194086593, + 446166006, + 621237569, + 789931885, + 186999590, + 717206998, + 150946432, + 45341937, + 827381217, + 595253894, + 246563769, + 215325708, + 49630993, + 130300765, + 176543430, + 55713747, + 983896306, + 407115720, + 181204509, + 732727194, + 679633794, + 734771012, + 868078040, + 354564356, + 721095009, + 794042428, + 405820909, + 341619155, + 231134934, + 795032268, + 547702012, + 386321351, + 186008722, + 316177138, + 686831179, + 441491496, + 391411187, + 696237308, + 718510918, + 32851549, + 253702508, + 277336195, + 993069436, + 93588495, + 118973092, + 734735787, + 63379536, + 787685202, + 314134397, + 299946236, + 410558146, + 382377017, + 907669839, + 4068775, + 917289804, + 224071405, + 428152196, + 286969670, + 515048121, + 492159903, + 511290562, + 278961288, + 880054445, + 831317239, + 940331249, + 385114363, + 146083032, + 340774736, + 18544656, + 111024787, + 272178417, + 849199812, + 452132842, + 496506274, + 100970238, + 477082340, + 639863760, + 377886134, + 503387824, + 669964179, + 530342106, + 249623415, + 781517846, + 108091132, + 325254883, + 851920935, + 671379292, + 332815304, + 608829034, + 831494306, + 73322231, + 244068394, + 705025045, + 596553667, + 861735176, + 978269278, + 521172544, + 785135806, + 43876492, + 824550781, + 594961532, + 883502739, + 909117020, + 601358578, + 198037636, + 869092343, + 107979509, + 753709083, + 818672202, + 887234380, + 141881904, + 80774801, + 818445643, + 173779165, + 503200000, + 701596790, + 857795353, + 241634972, + 187310145, + 799968850, + 958241101, + 863466828, + 506703572, + 778660690, + 136355920, + 634188820, + 868371483, + 256702527, + 529908493, + 239499193, + 901921589, + 722604454, + 103491651, + 21959183, + 823982275, + 521410600, + 570335356, + 283901869, + 68028593, + 312038477, + 9636032, + 563303200, + 160826339, + 698697404, + 60384525, + 239794542, + 694360541, + 38123004, + 591904572, + 205038578, + 636347009, + 536871551, + 279802577, + 935130183, + 92011676, + 855330343, + 38070037, + 867080438, + 311630004, + 462829192, + 864030532, + 2031480, + 249465063, + 788256180, + 982279957, + 483122707, + 782928298, + 596768985, + 525268382, + 875173742, + 434816551, + 987374634, + 367638315, + 963534789, + 302031868, + 399790672, + 460905248, + 186507161, + 389349470, + 99622518, + 814344562, + 351759144, + 731126077, + 621583958, + 251344005, + 899499703, + 121214452, + 207709177, + 456566818, + 304961539, + 865736049, + 273981035, + 203257476, + 761473298, + 746825427, + 487010960, + 863750888, + 77708677, + 18797616, + 746082554, + 543614103, + 60791106, + 904717111, + 673900183, + 480077192, + 140634465, + 162245764, + 422737487, + 892887811, + 812643216, + 329725747, + 985959404, + 564524347, + 273585890, + 33748269, + 95723001, + 564240115, + 932567744, + 320183015, + 953187309, + 877949666, + 148959155, + 729219902, + 441906790, + 404996254, + 455176671, + 727777919, + 246597346, + 701322262, + 452657245, + 353871491, + 49650551, + 13290531, + 510246283, + 284504615, + 973499235, + 547076630, + 354279041, + 858549411, + 148291107, + 75448038, + 3714252, + 445462049, + 277831922, + 379826809, + 964087014, + 506342279, + 306644483, + 790067319, + 506203203, + 780877102, + 359328450, + 381334446, + 94027836, + 616704239, + 898163616, + 712360543, + 912045942, + 152845202, + 821905938, + 704925378, + 674755564, + 1912123, + 706892973, + 426019148, + 800498727, + 796157223, + 196639938, + 77493597, + 708486906, + 140700465, + 834922833, + 258288024, + 672069010, + 439249249, + 622953139, + 757037634, + 378667398, + 837978446, + 503328271, + 60117306, + 826268451, + 217922656, + 1167241, + 858709853, + 834462474, + 930430791, + 987946223, + 539831445, + 709300168, + 396376154, + 873706965, + 171835183, + 769784355, + 682779692, + 787105458, + 358668849, + 622391437, + 682083095, + 152543235, + 658063092, + 960371469, + 786475797, + 679026011, + 75143712, + 755987025, + 70645268, + 453395683, + 211752856, + 175883161, + 321329054, + 713292016, + 596411351, + 164743070, + 345440332, + 620846154, + 956978509, + 821724284, + 791427977, + 174787211, + 748766253, + 667067738, + 613104463, + 442627046, + 313116099, + 969218269, + 305325948, + 188622344, + 72675863, + 811428819, + 944406265, + 34844779, + 904588164, + 511247173, + 391665744, + 304161057, + 258218462, + 494235262, + 937705055, + 234270790, + 100009622, + 513055261, + 665673529, + 361572033, + 26323754, + 546823550, + 697951549, + 48533195, + 160916410, + 156130833, + 912538829, + 733963007, + 534123568, + 856642689, + 441639916, + 506606064, + 872022728, + 235205416, + 52612288, + 579678001, + 384089714, + 358010354, + 752398556, + 612087609, + 904031466, + 640716094, + 795822362, + 363527425, + 76353174, + 699252062, + 907004634, + 809750934, + 166089748, + 861840194, + 719465934, + 416062009, + 544544785, + 72112566, + 314471950, + 889845441, + 730054736, + 878038632, + 974142038, + 516842567, + 740905556, + 274842010, + 755941223, + 81711499, + 386117995, + 166514748, + 121498832, + 965639164, + 533259987, + 876525631, + 533368258, + 959801474, + 364558976, + 803144808, + 661669693, + 358136176, + 809915641, + 7805900, + 173708053, + 872128942, + 432502200, + 451768679, + 479369443, + 131130648, + 232762235, + 530140803, + 335029945, + 211748079, + 204435083, + 678474078, + 642632168, + 461037944, + 642932677, + 906730420, + 520108262, + 640349579, + 923198814, + 572796081, + 626457163, + 105573278, + 413278503, + 763991904, + 551271705, + 250733420, + 491464178, + 434600715, + 503710868, + 530541083, + 445802035, + 829253665, + 6697631, + 123697930, + 401644458, + 295323871, + 448462139, + 516841863, + 132881364, + 986817394, + 129782443, + 642184512, + 709668083, + 605689586, + 571992304, + 969501554, + 78396395, + 292328559, + 640235053, + 984296826, + 511685478, + 633871284, + 44482619, + 919686221, + 487176028, + 722603268, + 632140546, + 52247053, + 544341528, + 487644427, + 367842787, + 463922372, + 480104163, + 427543686, + 635180691, + 773466080, + 873034167, + 73332972, + 944704559, + 447020080, + 24205260, + 851725038, + 418330208, + 596002648, + 843329795, + 190991872, + 479705907, + 486340812, + 279899230, + 436917941, + 90645798, + 199067624, + 489966543, + 875175199, + 459071647, + 623005735, + 105266204, + 657052233, + 973718944, + 583138098, + 308312065, + 631115848, + 851469780, + 136664422, + 971272127, + 422335512, + 714787819, + 77710874, + 324540949, + 974026443, + 299972970, + 642151850, + 756049538, + 204493423, + 575055484, + 191861888, + 329092854, + 49673860, + 576611981, + 474562800, + 193976402, + 454543341, + 86172305, + 178084658, + 248754004, + 226245882, + 969960550, + 870385476, + 942682956, + 587351636, + 9213622, + 471800105, + 71527620, + 535599317, + 388384228, + 523342480, + 11029451, + 164995209, + 701041169, + 878966574, + 613284628, + 140572358, + 556827188, + 234633761, + 621480175, + 696315631, + 642905201, + 686052188, + 997542404, + 477634659, + 775170402, + 769417795, + 121623540, + 984533954, + 909432703, + 62952571, + 202232970, + 434379071, + 377511225, + 441228192, + 896733101, + 389309971, + 219721187, + 833498718, + 546738472, + 722200655, + 500878869, + 872513390, + 863957062, + 552470138, + 50154606, + 878006761, + 21426953, + 466177901, + 182515221, + 734652813, + 224969834, + 892408388, + 625652223, + 731470862, + 204780013, + 921654404, + 544022066, + 559152087, + 785375746, + 515279195, + 592377129, + 543155790, + 617061539, + 301873010, + 533357193, + 498774404, + 798673812, + 920329664, + 542055992, + 185324053, + 397085491, + 947402319, + 664620792, + 288328673, + 545108432, + 176793274, + 676306204, + 545011161, + 6244899, + 68593778, + 51536804, + 572526118, + 981860509, + 20948430, + 908704682, + 696576913, + 958051428, + 424303348, + 327876939, + 372987861, + 919513860, + 267357957, + 193077076, + 49543054, + 323281840, + 445583903, + 244876839, + 287094760, + 638393395, + 941755598, + 743832611, + 461476856, + 830685995, + 351675570, + 193604238, + 310114842, + 667126317, + 91354329, + 121185775, + 559698441, + 619093018, + 2760423, + 623499997, + 934586703, + 798518497, + 817401859, + 386004017, + 46405852, + 428072597, + 99921003, + 88426343, + 952403222, + 541801469, + 747926058, + 338185892, + 305353107, + 610991679, + 50545766, + 773370035, + 511542170, + 259601543, + 973835687, + 678476124, + 395814187, + 144939659, + 331167672, + 363376650, + 518141917, + 476833352, + 64055072, + 290099821, + 256826906, + 74279031, + 178023485, + 842814605, + 769474672, + 60285517, + 594727669, + 711140474, + 971902956, + 635819439, + 275819585, + 557856110, + 561071097, + 673388705, + 375846992, + 631631174, + 752011259, + 381008463, + 415423490, + 402211702, + 611877408, + 787061461, + 930862077, + 904716263, + 479910347, + 615443106, + 661847086, + 21258081, + 379170980, + 810197696, + 953120583, + 998670497, + 435453059, + 523290526, + 948773787, + 483315387, + 544885551, + 580560417, + 696619559, + 588021771, + 294350698, + 999396857, + 10314674, + 839729817, + 367752394, + 646337948, + 215194833, + 349479463, + 109065328, + 790902589, + 194108706, + 791072713, + 406673403, + 14700335, + 315997996, + 646316681, + 591253980, + 829615992, + 730598653, + 352006534, + 590184972, + 468793448, + 363649000, + 797163073, + 94236777, + 387604177, + 693097722, + 411646602, + 597427991, + 295092711, + 771405730, + 405900071, + 343635381, + 814062215, + 818011055, + 916027072, + 717420854, + 594922886, + 81413458, + 683828747, + 43014823, + 25548432, + 282136107, + 701296436, + 361833256, + 505840731, + 953439814, + 915508386, + 14324568, + 555195477, + 67415115, + 811310727, + 316206652, + 809867955, + 326805707, + 831306732, + 121577373, + 363995019, + 596710541, + 840383425, + 318101884, + 19807496, + 43632145, + 779935421, + 485079257, + 125951824, + 117569620, + 636877055, + 238670297, + 292037696, + 777276177, + 477813665, + 577276847, + 458012323, + 162436820, + 649215751, + 735244061, + 786206294, + 361224032, + 367831509, + 240259472, + 689668860, + 276630449, + 517316803, + 67897630, + 777976673, + 755218340, + 48113229, + 788241387, + 334394453, + 190793524, + 14783472, + 84961013, + 960488704, + 369506132, + 352401963, + 388315224, + 163483319, + 877917891, + 153035398, + 45289032, + 186072565, + 457420974, + 828473050, + 17779292, + 263164993, + 783015670, + 27985221, + 136592420, + 862152917, + 580708018, + 535126971, + 486864364, + 943734939, + 843779833, + 17990853, + 566537137, + 859969907, + 934195574, + 206710768, + 812997784, + 44993076, + 394542348, + 427901643, + 629355902, + 349098129, + 526833314, + 1371962, + 520203580, + 643515057, + 20489563, + 482625921, + 950790440, + 781490638, + 754543890, + 95038737, + 577805291, + 915861961, + 685921442, + 939158518, + 444806204, + 679226159, + 733782406, + 206609950, + 892298629, + 831382033, + 445688021, + 399943457, + 145377803, + 971732616, + 209264648, + 596298205, + 184601216, + 568259821, + 165960128, + 914493442, + 144372062, + 917335626, + 670219593, + 434007154, + 930325249, + 706531451, + 893167050, + 290588405, + 467888706, + 824240672, + 346675873, + 31573065, + 288200855, + 104120717, + 219850851, + 765485075, + 207921152, + 327319107, + 781977225, + 278459163, + 585409807, + 632890500, + 768522072, + 729862284, + 778729878, + 41987748, + 666142333, + 66604899, + 10072284, + 484002074, + 684090423, + 796467066, + 991007187, + 768224816, + 922214160, + 300103570, + 792817421, + 534968642, + 483185580, + 445561941, + 591016632, + 915305977, + 647991372, + 258254867, + 404373757, + 347331094, + 333225793, + 716852582, + 474031264, + 318337416, + 771389052, + 873757014, + 711865861, + 57604619, + 135148358, + 771144064, + 262424664, + 613076790, + 67697442, + 630388525, + 552479623, + 77264008, + 191423057, + 402764854, + 525063868, + 542557057, + 844350630, + 478261647, + 447905211, + 549833431, + 952466742, + 441236953, + 692462827, + 789130022, + 321084766, + 416194919, + 460084569, + 713946309, + 17214264, + 356414415, + 52358882, + 933434406, + 933525798, + 499872349, + 634494060, + 627340585, + 738324608, + 725220816, + 455747134, + 428821863, + 421586069, + 735432533, + 925266874, + 884586904, + 512164418, + 937087124, + 19672522, + 75657819, + 212953591, + 101714357, + 914069683, + 513183597, + 345170035, + 735120560, + 655807122, + 718929141, + 855586350, + 606741644, + 973888756, + 25880203, + 127259597, + 462797431, + 355111029, + 911758296, + 908510409, + 989414571, + 341480865, + 554310244, + 298901539, + 969420535, + 707063751, + 831115454, + 986715233, + 742853620, + 446668836, + 6735176, + 430807403, + 309701380, + 555723761, + 824473396, + 528610662, + 848644223, + 890990179, + 68844567, + 762988727, + 416990675, + 775502813, + 214055791, + 106049075, + 723566367, + 382549923, + 224042942, + 795626520, + 168814105, + 375324907, + 765653454, + 597302838, + 851461829, + 147982554, + 817915394, + 670388519, + 97641071, + 173923127, + 994833882, + 140311825, + 521561148, + 485169470, + 56979435, + 317037941, + 760966471, + 32637660, + 64557727, + 480831442, + 178525550, + 775939214, + 287545435, + 50260053, + 384801470, + 865035171, + 232858115, + 567617341, + 756907194, + 574475848, + 83581047, + 332044164, + 120975071, + 857538410, + 893064690, + 355383553, + 169577325, + 293712211, + 711503844, + 947948450, + 333771027, + 448271425, + 532567101, + 120621051, + 284811001, + 765060601, + 216568205, + 177693083, + 803414212, + 69052602, + 632983847, + 930918077, + 208531481, + 919505815, + 962910810, + 321341476, + 969661764, + 518754443, + 753859476, + 597641111, + 587964969, + 195360556, + 691438793, + 474918657, + 289536132, + 280937392, + 654544893, + 242187956, + 680087225, + 66241315, + 935471324, + 337557653, + 775573724, + 294783971, + 8065320, + 412128399, + 368333746, + 927379733, + 834977966, + 769755422, + 840228289, + 442284814, + 496657769, + 143728120, + 560571501, + 505642215, + 40039811, + 840443686, + 814920206, + 108272533, + 545505544, + 514523829, + 827869817, + 2441896, + 654928768, + 343621618, + 583177521, + 28667891, + 812839186, + 314466186, + 198017458, + 322557524, + 204083361, + 280894502, + 919973847, + 404154866, + 985207545, + 812743451, + 503353533, + 639975055, + 449421214, + 396390867, + 560429791, + 428162692, + 882808281, + 772189854, + 779466004, + 132425414, + 279252789, + 101776047, + 997775306, + 75626453, + 834304992, + 57478785, + 400296791, + 888870667, + 324876814, + 323548005, + 15118500, + 523705039, + 102894672, + 293271106, + 351942509, + 285229991, + 743076323, + 728611339, + 177633988, + 207379125, + 211155318, + 596395294, + 330635692, + 859050995, + 370212493, + 606116405, + 468180948, + 848909443, + 877900943, + 394573666, + 807756930, + 760299833, + 728099102, + 283496623, + 540899260, + 570933634, + 47905545, + 946700045, + 190423395, + 272990692, + 212020409, + 127257208, + 521338802, + 378572869, + 612412603, + 309684398, + 949819973, + 28351414, + 366115473, + 66783981, + 251332428, + 423387050, + 491267932, + 215162664, + 440646022, + 73700711, + 859707243, + 944103710, + 363185331, + 920288938, + 200598740, + 569785452, + 484623067, + 512284489, + 939441074, + 347005916, + 316403992, + 174018292, + 209475290, + 797260944, + 152205300, + 507508555, + 450693898, + 507206062, + 697366663, + 874455400, + 527897190, + 781661244, + 997179766, + 807547477, + 152855430, + 682013714, + 23877192, + 721676360, + 304911417, + 338907720, + 642906752, + 433635207, + 925232818, + 304902205, + 385035337, + 149989101, + 800673989, + 666106307, + 443412220, + 321715997, + 480618341, + 127300837, + 422258606, + 105830976, + 616460513, + 217596986, + 993985795, + 787114800, + 630331547, + 295502996, + 741173459, + 901186440, + 214647289, + 370431005, + 974876500, + 336392099, + 217187666, + 909281484, + 940867194, + 971550172, + 721523195, + 649465855, + 973129428, + 548407475, + 917522633, + 919803297, + 442829498, + 17117185, + 562862061, + 711630385, + 223388895, + 902302938, + 902825950, + 112809835, + 776695649, + 519183600, + 677618459, + 842172629, + 17007959, + 430391477, + 471216066, + 484726222, + 782975094, + 376933492, + 951623573, + 645252542, + 31890893, + 239507426, + 492638308, + 591339859, + 797975494, + 275221423, + 411923998, + 521298363, + 548454533, + 636352029, + 7407149, + 325657114, + 17764532, + 662158314, + 983899258, + 62204899, + 257827720, + 513542996, + 461639494, + 893148503, + 278178466, + 325657556, + 30680110, + 42330126, + 3137846, + 229355035, + 625300960, + 143405126, + 990999118, + 681540797, + 482815508, + 580828215, + 259409717, + 270545606, + 331436884, + 172994971, + 18794637, + 613674155, + 588176421, + 189292824, + 96324596, + 146665692, + 899767655, + 263348512, + 228024674, + 503706243, + 215699355, + 778489491, + 173880146, + 860237933, + 533637207, + 407837395, + 891977777, + 148339793, + 39023837, + 897801408, + 854280827, + 879972356, + 235405738, + 457044945, + 265134991, + 76893415, + 775500283, + 105263681, + 484250092, + 918836350, + 739003373, + 144782385, + 925321221, + 776653665, + 520994929, + 901516302, + 996486476, + 780076420, + 647737189, + 884375586, + 551832245, + 625893209, + 843294161, + 968555190, + 591913123, + 577477507, + 345714475, + 216052753, + 812162831, + 303903334, + 659361814, + 749423526, + 780095367, + 864141506, + 946007090, + 35482584, + 278033273, + 27716594, + 226440075, + 553518442, + 212466037, + 470158131, + 8251636, + 104401475, + 906492151, + 941749716, + 967765245, + 467895849, + 152857011, + 126603748, + 3278740, + 378313325, + 191982188, + 310383143, + 701833350, + 681480423, + 483109071, + 103598102, + 712948811, + 90922847, + 563260129, + 262860854, + 909394003, + 166288486, + 38691469, + 190307756, + 13203742, + 772669437, + 409976920, + 38570600, + 315725952, + 5567783, + 99837513, + 429064162, + 608597176, + 782086760, + 967542179, + 457868402, + 657381540, + 484359959, + 273467215, + 814629525, + 771053655, + 484396846, + 549727464, + 773068760, + 523072490, + 300779742, + 44937467, + 609627092, + 287416062, + 770020896, + 632492958, + 375137547, + 44864216, + 832781348, + 120114558, + 327048369, + 634459417, + 489591103, + 341860905, + 598093130, + 701370662, + 788093473, + 435778803, + 697440796, + 88549602, + 785122924, + 742946850, + 723922768, + 419036125, + 649598866, + 844813283, + 900009949, + 203988276, + 371191510, + 612833082, + 772319562, + 620020512, + 338169579, + 544060422, + 16266423, + 592091759, + 1025175, + 199433419, + 383479529, + 504586886, + 195293709, + 266672934, + 140166996, + 198792875, + 58438932, + 67514518, + 294151583, + 297088239, + 768867012, + 809347034, + 784160001, + 97615493, + 357524073, + 117498359, + 118414851, + 213438665, + 244319264, + 319453548, + 307364692, + 732237589, + 309265821, + 660277744, + 45338051, + 180179910, + 367875312, + 333703609, + 827947986, + 152311939, + 899413517, + 702447384, + 550499560, + 363251679, + 513792449, + 157443546, + 604480277, + 85750987, + 794428288, + 356127000, + 659385501, + 672317385, + 747587806, + 519982134, + 257928658, + 363720532, + 95724194, + 199574939, + 344545324, + 485768648, + 210723051, + 909735716, + 765078136, + 82613088, + 545323255, + 516319127, + 954343044, + 580658840, + 92928570, + 648073011, + 509938883, + 940400257, + 23128244, + 909000930, + 392555062, + 801049554, + 85909880, + 797674267, + 302379338, + 705691033, + 488986141, + 239093260, + 102557482, + 356699949, + 278917153, + 329516446, + 274239437, + 233382875, + 123574374, + 508426029, + 182949729, + 179729698, + 553734942, + 741801734, + 561952462, + 47391152, + 19863986, + 97306960, + 733783954, + 959782724, + 703407976, + 716303114, + 316418219, + 620163017, + 57037848, + 486822419, + 257673221, + 915981752, + 658415727, + 203130506, + 134314615, + 800229624, + 714260474, + 400933635, + 839953715, + 682302196, + 927782539, + 897153614, + 992317192, + 890106386, + 334136281, + 880480441, + 629964799, + 893583473, + 825641591, + 33084216, + 264643283, + 257479805, + 375813094, + 823274964, + 849796443, + 953699688, + 370699454, + 627543223, + 561818772, + 743934926, + 591918331, + 879607652, + 397307123, + 450238291, + 419068976, + 539012139, + 771073153, + 579756364, + 398319242, + 628223095, + 969464342, + 890486122, + 281882583, + 628610058, + 807788677, + 117302902, + 138934073, + 552017770, + 36487019, + 453025991, + 196234890, + 946660148, + 818512605, + 906665527, + 452294978, + 649579018, + 217853998, + 658637832, + 611654580, + 811742356, + 641463870, + 310118861, + 206380599, + 154671437, + 744995622, + 522148225, + 256580545, + 949998179, + 322034949, + 543721994, + 896334555, + 758361328, + 770052268, + 143460361, + 50071657, + 851247045, + 61609561, + 886712037, + 666666727, + 824975136, + 253061983, + 532149434, + 754071213, + 61941055, + 737331302, + 910706031, + 281516688, + 794176726, + 945438182, + 554254074, + 406048857, + 963618539, + 371609476, + 213798983, + 83712611, + 186792523, + 696939605, + 30888672, + 966094694, + 590381463, + 129034753, + 399946960, + 160250204, + 690834700, + 903153771, + 751097029, + 71044949, + 314951143, + 228423877, + 78993464, + 29203494, + 306777683, + 619318660, + 958310676, + 887961896, + 265479404, + 305124458, + 668995421, + 543145125, + 622964125, + 804004891, + 619995093, + 172405371, + 334206079, + 824476711, + 722853462, + 935876301, + 724470980, + 816569431, + 767596340, + 671130622, + 502200340, + 600383110, + 59241655, + 532115235, + 696180192, + 855163213, + 18515251, + 220608527, + 183422539, + 349997421, + 18156135, + 780043290, + 905065325, + 605728590, + 35137863, + 10653427, + 870447187, + 12646052, + 766705755, + 728775653, + 888896621, + 91745587, + 296206341, + 410675576, + 251028693, + 215077340, + 48408999, + 279121072, + 125868576, + 681096562, + 511588301, + 432664707, + 803445596, + 594289845, + 688320863, + 393865966, + 174880215, + 840879551, + 644954703, + 513082804, + 597208735, + 84136547, + 486091013, + 290448377, + 207966875, + 239898245, + 454442223, + 860071203, + 526811529, + 908949998, + 815255630, + 668564275, + 566636087, + 691101607, + 424084675, + 669101675, + 777503855, + 59108927, + 43014561, + 182020868, + 541306873, + 680681859, + 894394278, + 323132606, + 615527423, + 287224932, + 80322721, + 154990319, + 660726689, + 341439205, + 683799921, + 578068809, + 396850320, + 812036742, + 913738031, + 576672523, + 302709455, + 913460855, + 72258922, + 779620609, + 584739665, + 773291183, + 739046691, + 431266873, + 558195594, + 456289500, + 298737995, + 265531664, + 604881129, + 110588404, + 182476258, + 37952813, + 123733035, + 747630729, + 668941955, + 400125357, + 114774978, + 729727825, + 170802297, + 277135312, + 7900997, + 962236454, + 218716661, + 915751880, + 672516493, + 681316106, + 141797240, + 184759999, + 480499181, + 856054942, + 460099146, + 993012267, + 135805789, + 279332667, + 147192654, + 151743041, + 640047134, + 701745686, + 914155071, + 93410265, + 285626962, + 953742805, + 500742447, + 865714980, + 430793794, + 66494081, + 13225744, + 697366075, + 834903759, + 741934048, + 271641932, + 70967851, + 951272120, + 681827096, + 888442794, + 299409406, + 932730950, + 310320640, + 458544522, + 792557712, + 897885559, + 727042110, + 691917942, + 607310210, + 609181843, + 422926550, + 112491675, + 129215895, + 470688900, + 739552025, + 644524817, + 718600214, + 414202350, + 528169542, + 713266662, + 333822966, + 8313102, + 857948229, + 893329819, + 260248145, + 19453001, + 382979850, + 143441466, + 672703823, + 802222576, + 73881846, + 72823741, + 316930079, + 15079771, + 784397128, + 55539999, + 177043390, + 566233721, + 736855206, + 41324810, + 409078018, + 673274831, + 181565532, + 349169716, + 406876746, + 344235628, + 307807966, + 501969119, + 831800056, + 439836590, + 772695645, + 264222198, + 926893387, + 781978491, + 97171708, + 615394385, + 635202743, + 595164994, + 943474068, + 706237509, + 701452471, + 931951660, + 130830996, + 594428363, + 103903763, + 535510083, + 432502978, + 92698085, + 598225646, + 826330408, + 811947439, + 327199743, + 765427150, + 540118361, + 409604442, + 509559312, + 649987285, + 147102835, + 769136235, + 970970520, + 220334052, + 992858439, + 550331126, + 345134368, + 689307995, + 169675560, + 612734079, + 452259244, + 81107559, + 633192037, + 630071262, + 234112943, + 520951691, + 171774268, + 86921864, + 745438065, + 678098619, + 579520204, + 652993409, + 10810262, + 262406589, + 641724637, + 105474379, + 465213442, + 909713039, + 453510871, + 24293876, + 793583278, + 722431057, + 421398324, + 570455366, + 167517850, + 164000648, + 504631849, + 831663621, + 444090821, + 589221061, + 464157966, + 448078714, + 103034698, + 743401970, + 795356892, + 566803340, + 673772485, + 54476883, + 249025921, + 468364279, + 906106404, + 809961806, + 24805522, + 958679406, + 869329093, + 980641732, + 88651849, + 856482055, + 183284720, + 249783177, + 214709044, + 333126796, + 499694256, + 330284780, + 805450373, + 592813741, + 689241086, + 5532583, + 996291179, + 89972801, + 86090703, + 372019639, + 922975371, + 418477210, + 766793516, + 111797484, + 520750989, + 231458291, + 251788946, + 657285751, + 600424228, + 382344803, + 332311427, + 552968012, + 796829524, + 245146552, + 980528220, + 556421809, + 874861590, + 68307169, + 44236136, + 637100210, + 544490394, + 823069629, + 339929836, + 977238599, + 184647842, + 173065800, + 800494910, + 514245492, + 821909643, + 259667622, + 406233696, + 858905107, + 101987015, + 261045555, + 340910010, + 372570607, + 925918861, + 959313876, + 396174984, + 620329578, + 331023946, + 117551153, + 868703892, + 333645074, + 850860628, + 33552615, + 233441364, + 46015346, + 868326351, + 270368623, + 183976174, + 338732774, + 572726764, + 789992269, + 895093501, + 870213910, + 252776941, + 361372228, + 680352246, + 256114355, + 299425952, + 896039406, + 833828456, + 147152639, + 82533441, + 380125505, + 763755139, + 712690708, + 865834725, + 237187282, + 332266954, + 813920126, + 438266677, + 858397088, + 44362541, + 231399850, + 817925402, + 863463333, + 374478849, + 407385598, + 901305383, + 711112167, + 990398067, + 684187527, + 397918017, + 178119547, + 674380325, + 546829908, + 898156893, + 648929545, + 925894958, + 474594270, + 242082597, + 602103594, + 670873268, + 857192878, + 771501019, + 200182144, + 640668621, + 990344856, + 853983771, + 782491231, + 93239133, + 462291482, + 265228543, + 273321469, + 617908953, + 573696573, + 718087201, + 196162311, + 553598980, + 90191096, + 582963321, + 630493578, + 766323405, + 787758612, + 897881768, + 696508717, + 599740978, + 348374745, + 281374585, + 392314678, + 995002931, + 792968740, + 572273241, + 596579610, + 177655664, + 424706575, + 155937702, + 20449492, + 617436514, + 481923031, + 279517592, + 294853656, + 116962471, + 276412754, + 970621326, + 677359760, + 835957314, + 812020904, + 203059433, + 307448842, + 969016064, + 777333419, + 177661320, + 216827043, + 885439178, + 350697932, + 664172170, + 190938103, + 53028187, + 968595375, + 571692323, + 692495147, + 551678598, + 336425978, + 415520038, + 958360104, + 709312087, + 782155944, + 742966876, + 302264515, + 336784132, + 720388834, + 235097695, + 225805740, + 337334057, + 770092337, + 393183628, + 209380170, + 227788484, + 735912113, + 637373153, + 629945416, + 798411682, + 898075137, + 76903557, + 780656464, + 648310721, + 397832646, + 87807165, + 711947521, + 988513320, + 762966579, + 548733821, + 278179159, + 46965314, + 633687703, + 997362929, + 960408512, + 882577795, + 880841391, + 279664912, + 326390113, + 743153531, + 385293286, + 61293601, + 107850032, + 432519106, + 655464953, + 572885386, + 921564602, + 666679172, + 533433272, + 503096669, + 161886235, + 204346875, + 50346607, + 688272252, + 659552454, + 830018578, + 426657936, + 331913173, + 250152044, + 438596841, + 207687791, + 35309318, + 153336049, + 370965602, + 359415956, + 61395443, + 635925433, + 445691691, + 764265441, + 846175918, + 736363710, + 389720865, + 797151107, + 324876648, + 11584001, + 82572586, + 233942374, + 39299065, + 846954196, + 374907553, + 506551492, + 961492245, + 711601930, + 262762289, + 940503780, + 320785591, + 647612132, + 50720267, + 552107857, + 699772988, + 67741057, + 873405287, + 288978634, + 862980183, + 738569512, + 23592868, + 614004674, + 215527839, + 473537508, + 217026406, + 613031935, + 635988087, + 608744935, + 55981542, + 278767474, + 436251533, + 734928518, + 424340788, + 546157049, + 596965756, + 931339782, + 359475005, + 431284453, + 92057662, + 83254349, + 557792268, + 555344673, + 678496308, + 423922253, + 641914617, + 887563407, + 191273157, + 343981319, + 735544289, + 489666897, + 327974487, + 682326381, + 832264300, + 95114022, + 233542303, + 931192206, + 582186658, + 542366922, + 827121581, + 294836761, + 767928698, + 125635237, + 449382065, + 783012181, + 533399248, + 736192578, + 452312486, + 643648291, + 469034827, + 6204926, + 754257081, + 869244517, + 367407644, + 657601245, + 537396099, + 565375586, + 677270381, + 712065339, + 211680190, + 403286844, + 141402610, + 209607012, + 299815018, + 17228696, + 307908329, + 978265360, + 476288944, + 353400249, + 243818803, + 794332905, + 866412578, + 580043944, + 744794364, + 345478196, + 706871081, + 781049708, + 368262270, + 5231706, + 511813186, + 404471494, + 703436199, + 522868382, + 857149446, + 597128818, + 755689692, + 152846262, + 415311908, + 326838723, + 846308891, + 512532192, + 967901947, + 297820237, + 247524090, + 787121497, + 756418262, + 549437181, + 467222565, + 66029545, + 179822211, + 232140203, + 448364917, + 126983258, + 253704282, + 946102930, + 887203620, + 54732275, + 168264917, + 325840214, + 895440810, + 275347949, + 824024386, + 289592370, + 602890503, + 710589612, + 604276664, + 100719403, + 436385434, + 669008948, + 348847752, + 791238325, + 949005477, + 394242895, + 949348793, + 691465108, + 843682099, + 981564174, + 722655015, + 177881338, + 452971593, + 436225945, + 179981671, + 470970595, + 160499069, + 534474977, + 195779269, + 856317214, + 45512742, + 793990805, + 523988651, + 346634950, + 746159064, + 39685873, + 262465044, + 150531394, + 126854, + 186893167, + 139852826, + 675061566, + 701937155, + 636393247, + 966116173, + 872614376, + 116686052, + 586443298, + 592593499, + 25899325, + 434840546, + 890515910, + 173323433, + 445662697, + 439074530, + 863222244, + 840794720, + 657147441, + 167781920, + 898650871, + 638983906, + 333627167, + 189418421, + 647387401, + 319461659, + 201930557, + 748937497, + 213170241, + 623759838, + 681768315, + 859715318, + 234524985, + 899475709, + 819458753, + 391246263, + 43585670, + 56580453, + 979462645, + 521108289, + 396309723, + 918937602, + 707998929, + 773906437, + 802221709, + 568579366, + 598197898, + 869357968, + 379934272, + 755926019, + 723097128, + 208754005, + 997545849, + 114648230, + 36296582, + 361894229, + 320410478, + 394050838, + 421630402, + 536589743, + 189022211, + 915393826, + 87084765, + 957883529, + 670702169, + 985125754, + 899722147, + 380400264, + 728575324, + 620968665, + 330647830, + 278751019, + 249947021, + 7360780, + 597484258, + 120908304, + 74990485, + 129389943, + 382572677, + 203399844, + 506285710, + 729207013, + 753569951, + 306711581, + 987268946, + 39343654, + 726190948, + 111351091, + 924269849, + 179163326, + 842172983, + 67679321, + 239584418, + 133933449, + 579788457, + 167158467, + 27968337, + 399186949, + 872031325, + 753335193, + 749495877, + 381261761, + 401011365, + 464126386, + 72457786, + 10993310, + 573663498, + 865338788, + 87016459, + 589729420, + 954597557, + 388090973, + 593265638, + 580545314, + 89553574, + 77283084, + 8093222, + 354201119, + 938294004, + 828323546, + 324760215, + 742935641, + 326727956, + 295475873, + 649108281, + 295622208, + 327927634, + 940518039, + 616238708, + 375179917, + 750723048, + 849346305, + 309936393, + 854299193, + 17577868, + 54669318, + 861377827, + 599534642, + 881965595, + 569679876, + 909229443, + 9852285, + 895581181, + 655469763, + 83239350, + 96862980, + 390125277, + 361038908, + 54127803, + 128972066, + 380114324, + 663874180, + 478999394, + 106718060, + 109053646, + 990166455, + 227218885, + 544050174, + 438389702, + 927943481, + 630293097, + 455219888, + 636425912, + 890707506, + 199137241, + 832511739, + 134203080, + 890865964, + 31848860, + 679903522, + 138765091, + 205472408, + 106859535, + 103519329, + 67620415, + 806616492, + 533361425, + 746816059, + 12794213, + 824948540, + 315133282, + 114375704, + 228479189, + 913021788, + 614053333, + 722820424, + 237648039, + 223610489, + 809214945, + 508821219, + 544774050, + 364893091, + 391563224, + 769093088, + 39996233, + 821486731, + 290256661, + 210843811, + 83118414, + 890639898, + 850623759, + 567026127, + 92862841, + 862585118, + 325549171, + 652011435, + 829214386, + 9197913, + 92097637, + 599938675, + 860161725, + 789790810, + 114930349, + 319132057, + 417850815, + 628402589, + 136360209, + 762692456, + 342393096, + 526087009, + 393629444, + 629868628, + 686858562, + 104658300, + 527515158, + 74651188, + 745327960, + 909854546, + 494982534, + 331349128, + 981956439, + 37011301, + 328374715, + 985013826, + 380624156, + 597149871, + 250802984, + 531482049, + 686924493, + 289558185, + 186502997, + 942527315, + 817604640, + 398077232, + 824851797, + 682782580, + 124626759, + 941294909, + 784212013, + 774563923, + 736174786, + 666745836, + 655052853, + 562747268, + 149447716, + 16503869, + 607712208, + 931872885, + 447372646, + 651930387, + 906155795, + 23679707, + 11996242, + 586370839, + 951332479, + 817558876, + 403611649, + 376177512, + 697556626, + 773070913, + 846687651, + 192838283, + 279950315, + 664201597, + 428582870, + 880168416, + 154480026, + 161261533, + 194293863, + 43951905, + 906131239, + 624501380, + 128565738, + 992846738, + 581110517, + 115117308, + 693620009, + 398906485, + 202794562, + 838881166, + 131643464, + 964997889, + 642828625, + 175208101, + 13245987, + 418453758, + 811943079, + 829497331, + 400578160, + 864159731, + 475596762, + 784856925, + 480758466, + 903984087, + 988877441, + 404145605, + 106124254, + 729207058, + 643822793, + 565500912, + 801197902, + 964978921, + 270914836, + 709795277, + 30128267, + 350699448, + 904395004, + 755426811, + 445206657, + 52225560, + 566942786, + 16054723, + 881964798, + 438290032, + 147106121, + 161503322, + 901005583, + 163243444, + 691589064, + 380213619, + 493814330, + 72493195, + 374585490, + 945781817, + 79201153, + 355912771, + 374996587, + 232489441, + 247269738, + 492227623, + 411752993, + 996145130, + 403766735, + 196647917, + 367538234, + 323282302, + 217016475, + 131416656, + 455163501, + 493312558, + 541876024, + 191070772, + 809596869, + 975891460, + 497980027, + 424732450, + 673350738, + 137116530, + 557943586, + 311468602, + 248836195, + 248604512, + 352954119, + 304303389, + 238581999, + 29345972, + 212733348, + 206902791, + 656075067, + 955461138, + 724836212, + 599814222, + 311076919, + 978453480, + 868833300, + 509787573, + 865922063, + 437076792, + 958367222, + 187626325, + 660789146, + 216379248, + 38724155, + 643244917, + 541487869, + 269323843, + 690230646, + 945122871, + 167119804, + 524508603, + 910340204, + 970754290, + 120343763, + 459501332, + 137232691, + 337077193, + 553971139, + 224506458, + 36639622, + 851059113, + 655202974, + 790859533, + 840638526, + 482769777, + 133630440, + 365634125, + 549394842, + 754874644, + 99768369, + 357906796, + 264076061, + 580644696, + 549626685, + 446815895, + 765298369, + 86484160, + 548429950, + 822272018, + 239623382, + 866459196, + 835771182, + 564619829, + 757376608, + 740107748, + 120038679, + 461298913, + 719291039, + 656047437, + 753730678, + 280420767, + 768294503, + 293041369, + 298507095, + 380137196, + 763193361, + 178427494, + 922631372, + 38165253, + 172615517, + 482901537, + 193268319, + 198377078, + 739535072, + 111052171, + 610986205, + 783589025, + 437414494, + 869709413, + 843634840, + 673323716, + 281774174, + 389164731, + 965439711, + 220005684, + 538481726, + 42821645, + 818602915, + 770598049, + 621357888, + 475055954, + 700946289, + 821912664, + 152639316, + 427060750, + 239681621, + 257235163, + 850605041, + 162862604, + 896309726, + 210377975, + 495527854, + 914133875, + 642372123, + 109870596, + 668408661, + 874984725, + 59701083, + 613461866, + 723377726, + 921734041, + 709629478, + 322951192, + 186901879, + 859354638, + 150225148, + 22644308, + 350749265, + 96172786, + 429809040, + 103345570, + 554767944, + 151641306, + 532359496, + 388507019, + 950989098, + 403755146, + 617534076, + 952313148, + 243258507, + 86295946, + 811264215, + 768300150, + 627467916, + 833435537, + 471107381, + 224049133, + 112756754, + 201658210, + 366173018, + 613038441, + 869919565, + 13120561, + 642504534, + 211832919, + 96640486, + 629885687, + 640186970, + 705614467, + 375377034, + 128923806, + 670090135, + 802376991, + 314756189, + 612840166, + 358864786, + 12259502, + 561423893, + 330902338, + 164781720, + 902587382, + 766731177, + 721472083, + 37001363, + 116937224, + 608701268, + 610776136, + 404183406, + 2371995, + 401237414, + 170571097, + 135007500, + 710519576, + 473083735, + 943425607, + 732545211, + 886650042, + 110085359, + 929853865, + 785631854, + 236940136, + 176337995, + 18427767, + 854222312, + 752773786, + 167789188, + 612697440, + 699104676, + 576860182, + 934032164, + 155157890, + 741821530, + 851964842, + 872286759, + 398487582, + 29674029, + 287804536, + 231676619, + 695110720, + 710239285, + 716195287, + 268399564, + 376725101, + 443867949, + 868349017, + 316722094, + 358069776, + 88688482, + 382837341, + 252933372, + 962648640, + 961299523, + 816623529, + 47205851, + 141977256, + 712179829, + 119837270, + 92877946, + 915382336, + 249059418, + 798566071, + 36291707, + 345612939, + 662389659, + 818621515, + 457752981, + 575388590, + 341091078, + 429901611, + 11486227, + 17061445, + 112101347, + 244150311, + 283202258, + 94430915, + 119930487, + 205710495, + 648454000, + 244894022, + 821964036, + 985328257, + 651316242, + 852313718, + 729718833, + 386141481, + 105913125, + 909670874, + 653661586, + 733185677, + 843405356, + 690950133, + 361207029, + 426492956, + 810271931, + 23437450, + 84705382, + 749416742, + 88354973, + 612860362, + 291379837, + 631052503, + 568447116, + 120284594, + 301516277, + 814324521, + 148560346, + 149771148, + 184150469, + 153642615, + 260759414, + 134819815, + 365153102, + 462161011, + 729507752, + 564994690, + 736417890, + 822067646, + 370479929, + 173991683, + 905046435, + 275967171, + 480909412, + 19929268, + 13636105, + 744118095, + 790899397, + 962417269, + 962736324, + 117920917, + 304940897, + 649172913, + 365028214, + 175698154, + 302612507, + 87149223, + 817989534, + 916974010, + 845281080, + 527867770, + 380882596, + 98676163, + 536179231, + 687580882, + 399092491, + 745706264, + 86921972, + 832473835, + 161159847, + 347417136, + 659996134, + 602227457, + 321959737, + 747163971, + 198633364, + 247052691, + 214495177, + 241688667, + 64797477, + 380075408, + 745550176, + 958285057, + 420878074, + 344750773, + 759622859, + 372162504, + 45047112, + 688611583, + 475597560, + 255074566, + 317642722, + 526745083, + 665427398, + 829001207, + 694104109, + 681757978, + 597900709, + 830278953, + 990278581, + 27728369, + 546518115, + 885763723, + 212155069, + 489134492, + 89596263, + 660395311, + 90964954, + 883183734, + 272639564, + 273703568, + 945723266, + 534587424, + 980344613, + 799679624, + 647531081, + 128157031, + 561084192, + 596265751, + 896694725, + 718726313, + 65020233, + 162149912, + 978131445, + 800540467, + 260589946, + 716541007, + 182114653, + 513415862, + 277804606, + 528871959, + 751464651, + 310098868, + 980415555, + 384287213, + 522380257, + 23202895, + 777018368, + 135023159, + 857500520, + 796306458, + 820217959, + 345921797, + 709864427, + 481990589, + 935853275, + 490707815, + 717951653, + 663760457, + 943964041, + 447762398, + 665385599, + 533377719, + 794737361, + 942328921, + 647652228, + 148870131, + 758506687, + 457895546, + 155104764, + 455809557, + 457368859, + 184046322, + 721602660, + 694125902, + 522436670, + 312914426, + 679325936, + 882225464, + 518646130, + 965055124, + 774862241, + 504582947, + 615113554, + 71686339, + 300635987, + 93053363, + 73058288, + 121311780, + 668647374, + 552343117, + 953281570, + 567622809, + 495423823, + 898089588, + 561397124, + 674155817, + 220523465, + 421281929, + 453880160, + 186802771, + 383635411, + 746468438, + 349633588, + 944027903, + 519739429, + 345261735, + 360093165, + 796473363, + 36369763, + 26301434, + 214920149, + 247312705, + 626980272, + 334658482, + 568741695, + 4485299, + 690023999, + 966895098, + 399989306, + 959636373, + 571946610, + 332122198, + 723826407, + 840674263, + 876140214, + 30858705, + 926011395, + 620646699, + 276609234, + 310303871, + 885610934, + 567336328, + 73720505, + 318781766, + 565101611, + 901481340, + 700912709, + 442566779, + 179267790, + 352748348, + 194998300, + 637377460, + 62296358, + 254440858, + 439151803, + 379320151, + 820757653, + 636042888, + 881842181, + 467991477, + 69384126, + 781821096, + 522145551, + 219895776, + 704765846, + 685982905, + 456209821, + 853681210, + 790333083, + 229450375, + 105912003, + 184549653, + 886475980, + 362453804, + 163750976, + 835524238, + 213942877, + 753113015, + 756405923, + 987498101, + 750599179, + 382095182, + 37558319, + 997484480, + 525137165, + 175943634, + 687181801, + 161007043, + 999958215, + 940877945, + 280760197, + 672205629, + 465727753, + 987696458, + 831841142, + 198325195, + 304884560, + 24459121, + 850685706, + 451532639, + 853795862, + 537144182, + 735181950, + 392783308, + 103313915, + 811792022, + 236709831, + 992695806, + 50781643, + 606507366, + 337589797, + 107509154, + 664201577, + 389159456, + 614081109, + 322073195, + 224358632, + 976450953, + 502596082, + 139829339, + 568321745, + 291343240, + 639165083, + 28786770, + 735514500, + 545058759, + 163943563, + 982005661, + 956652487, + 648323546, + 983588048, + 752311091, + 631251547, + 186783412, + 769393515, + 483299492, + 75387747, + 898462290, + 630485973, + 253213917, + 143598161, + 153303405, + 105299037, + 248902353, + 851548394, + 13135959, + 833529120, + 305471441, + 6217980, + 219569514, + 628102281, + 414235097, + 858732557, + 354452550, + 303936043, + 76292410, + 490622349, + 913848809, + 438340299, + 757866421, + 108265730, + 310042929, + 953701866, + 95357220, + 306411531, + 799761106, + 186110473, + 51093024, + 769938395, + 571095868, + 220207378, + 391614156, + 385322781, + 196550766, + 360989876, + 600936955, + 819318953, + 952281691, + 370575557, + 480066652, + 213328923, + 178632844, + 786980008, + 659059262, + 12227517, + 593370218, + 755377894, + 623593369, + 151724770, + 998191686, + 157654842, + 55000129, + 599865415, + 920791311, + 308768569, + 960695368, + 572334194, + 431652556, + 556249318, + 783917095, + 651927966, + 481388343, + 812841789, + 105491406, + 11437269, + 763027261, + 459280177, + 271033609, + 966218099, + 764938535, + 696145393, + 767957240, + 828669846, + 474045453, + 794932989, + 735558317, + 693408014, + 241350273, + 130333545, + 248554991, + 690280909, + 995689906, + 397910055, + 175629901, + 571517146, + 990203022, + 281347693, + 667140, + 939668721, + 27662806, + 617176635, + 996234410, + 736917270, + 173217736, + 55954124, + 598265619, + 650469593, + 685483296, + 335149384, + 934815242, + 677371310, + 716648422, + 380163979, + 225250866, + 710222816, + 606385331, + 739420632, + 14084009, + 901592322, + 672531767, + 523723950, + 151824987, + 238992528, + 348739888, + 163768174, + 823204503, + 780747393, + 733954334, + 633072617, + 367378195, + 314254345, + 382968856, + 624468732, + 178046497, + 286371348, + 168569422, + 657009523, + 380141889, + 193924380, + 239691012, + 161829284, + 636651783, + 99673716, + 342854453, + 576408858, + 598831665, + 531836396, + 858625362, + 112512317, + 841622599, + 495775855, + 668898378, + 653029038, + 957702649, + 684691750, + 830350591, + 982513342, + 918739949, + 180338176, + 906361314, + 626666048, + 822262984, + 223554106, + 610059780, + 393221027, + 845548423, + 397964241, + 450514409, + 237553046, + 916001576, + 315965408, + 609647319, + 404880975, + 901810787, + 24463953, + 606190287, + 712148710, + 862966420, + 700874999, + 588454837, + 67227931, + 538804851, + 700846661, + 172162986, + 82205084, + 222113937, + 607607230, + 966438685, + 480105178, + 855234177, + 671352957, + 984046573, + 322456597, + 788383453, + 550116364, + 262801243, + 985335107, + 87627748, + 273253974, + 598466861, + 940725935, + 55799647, + 390469286, + 265514226, + 996753499, + 536135173, + 38920035, + 326363314, + 260148059, + 988500444, + 859826519, + 601823738, + 412565349, + 109709782, + 311687984, + 206911220, + 141507397, + 317667145, + 903413526, + 19705390, + 720882025, + 537390606, + 944367045, + 598750562, + 591230202, + 8853405, + 829025645, + 509554745, + 57614777, + 673021578, + 813917871, + 662835612, + 140199937, + 215028406, + 744364700, + 58273074, + 612410786, + 912969076, + 332648087, + 289611530, + 259874055, + 298498923, + 932914319, + 791202378, + 206172633, + 724285543, + 597914265, + 3286249, + 777943270, + 677994693, + 18307633, + 754410377, + 682295054, + 17300153, + 991400593, + 624006451, + 18555047, + 401960518, + 206101641, + 911750504, + 867219383, + 51702163, + 777011323, + 98575065, + 376926819, + 971284916, + 369709437, + 751709601, + 682885422, + 261990935, + 114238708, + 337241269, + 197149968, + 63846134, + 999310944, + 741843331, + 499167938, + 595437222, + 523245528, + 985466563, + 607422674, + 794147676, + 597727722, + 598928179, + 430722475, + 695470872, + 235130074, + 413519690, + 105504287, + 154072793, + 129274816, + 135054588, + 195572758, + 353939178, + 424536469, + 827765541, + 769139142, + 115601493, + 204856241, + 283906635, + 575589733, + 361766574, + 426321431, + 454702860, + 304321712, + 661562188, + 7663736, + 750468914, + 703210298, + 704159631, + 254285180, + 718719539, + 473772802, + 300999484, + 660903661, + 228380370, + 23332607, + 937547643, + 308448558, + 808694827, + 278402879, + 108422915, + 654796028, + 356765387, + 171453695, + 933571548, + 95850420, + 643668921, + 4182777, + 212592997, + 664429005, + 410166513, + 433605742, + 787760699, + 735425230, + 133875442, + 188855539, + 27393510, + 423707690, + 953128397, + 679553693, + 170347395, + 245076842, + 642097414, + 929593218, + 42071058, + 35104748, + 675891581, + 526797784, + 951284655, + 838784228, + 680645442, + 485224672, + 110193101, + 227331633, + 858542054, + 551775611, + 88076041, + 944704115, + 149320513, + 364703160, + 502599171, + 891967187, + 683974911, + 479237915, + 139935891, + 574811542, + 474359458, + 639071436, + 736830265, + 133590604, + 986430985, + 223025412, + 985812336, + 624067866, + 355077770, + 377245137, + 679344163, + 781091359, + 230027947, + 22300197, + 140821423, + 675472944, + 564070052, + 730124423, + 150821779, + 39963102, + 172300096, + 611242831, + 356836814, + 323226171, + 490630975, + 394582947, + 68930618, + 797462554, + 346961806, + 829859808, + 22475483, + 283991327, + 662181099, + 511452677, + 855770275, + 958232050, + 224405243, + 762800174, + 606147673, + 200551704, + 938967662, + 346985600, + 153300168, + 279764391, + 634447378, + 68774207, + 972406328, + 40592430, + 232248815, + 409238569, + 113851853, + 615514057, + 236357303, + 766449082, + 916414201, + 63090703, + 939220890, + 527286879, + 144094034, + 724647889, + 495017665, + 648191564, + 497574785, + 267761337, + 251819459, + 470451219, + 447976486, + 782682894, + 344833827, + 108576841, + 127088452, + 665604434, + 295958265, + 165210595, + 325356401, + 430718599, + 373473026, + 404687892, + 603699946, + 331526390, + 642193994, + 647548679, + 923958911, + 201947430, + 999637401, + 364671939, + 920728022, + 364866363, + 486186925, + 170938904, + 399427944, + 180529832, + 779483062, + 596778060, + 344499670, + 690923583, + 497271858, + 93319236, + 319167027, + 424728637, + 585924296, + 211207559, + 384420365, + 186533790, + 96132367, + 415397138, + 198127980, + 456342037, + 977677992, + 199568859, + 838061427, + 98365136, + 98782195, + 364340070, + 594548449, + 1529512, + 283731492, + 307156495, + 621641065, + 23581712, + 607641284, + 678188956, + 645283439, + 115771923, + 966354407, + 641924970, + 332190940, + 625028540, + 235660333, + 540507808, + 839241001, + 87824699, + 981633958, + 736532063, + 99394345, + 545457269, + 439977928, + 818626907, + 882245070, + 45173246, + 184296627, + 223055876, + 35868165, + 570644225, + 629010291, + 243148661, + 935857249, + 588399755, + 704807787, + 414610262, + 361978138, + 252757307, + 42963698, + 694712915, + 214565828, + 952614694, + 635146214, + 809099130, + 942469426, + 982695480, + 660087157, + 815285801, + 333737944, + 81685683, + 776639768, + 939218595, + 319864853, + 88895232, + 235399331, + 88664419, + 366779592, + 503985975, + 828720441, + 904443082, + 57517986, + 412889294, + 331848505, + 624889212, + 276543133, + 9615342, + 177729890, + 700954417, + 704076570, + 803306488, + 913664315, + 793087822, + 892616934, + 867721704, + 532680584, + 265929828, + 832413359, + 668474079, + 929704378, + 295608471, + 826676033, + 835181920, + 854399001, + 25327441, + 33914472, + 314236031, + 875140461, + 226422656, + 619759165, + 234365392, + 332078725, + 727633621, + 673445898, + 213613424, + 89544798, + 734463096, + 321283442, + 226325249, + 747881366, + 3339780, + 690155949, + 183313009, + 388020314, + 293947088, + 266907420, + 898659854, + 536732017, + 373183931, + 417407304, + 254023199, + 213298873, + 545283083, + 52212215, + 664404240, + 125511204, + 80290581, + 274078222, + 519901555, + 766670097, + 647701189, + 802503828, + 631512179, + 315818593, + 691984443, + 830329082, + 899067600, + 542015042, + 778308693, + 198457144, + 376108970, + 289213167, + 527682033, + 722442949, + 506891582, + 889163052, + 923986625, + 524261250, + 705512823, + 798912302, + 873222002, + 647621742, + 197470620, + 600576817, + 720029311, + 744503646, + 30514387, + 176361078, + 593230667, + 11890591, + 913188881, + 127435449, + 827642293, + 681936623, + 70509540, + 72536170, + 378611668, + 748147288, + 922037096, + 982654552, + 731396052, + 63395032, + 753721296, + 736757255, + 375421698, + 211379539, + 143146878, + 732145127, + 303974915, + 437836712, + 820394274, + 750621525, + 217416908, + 795186582, + 189709038, + 219866724, + 480105200, + 413112017, + 743651662, + 705282807, + 145122632, + 286975201, + 893722621, + 545701082, + 518571992, + 263547201, + 346658753, + 371888016, + 68518168, + 601626551, + 744322839, + 227987561, + 58912383, + 178660721, + 902376830, + 51191471, + 440517503, + 624126677, + 782991576, + 201439836, + 714823104, + 741882755, + 808832032, + 812444608, + 264782750, + 944187973, + 854043047, + 501587157, + 603721385, + 793870326, + 470793706, + 149943082, + 553352716, + 96403710, + 851791189, + 13906923, + 798525012, + 942729228, + 802825782, + 107229472, + 485951855, + 516128471, + 393861141, + 397399465, + 363846566, + 454688309, + 639315794, + 83829769, + 505912711, + 472992959, + 138983417, + 766846734, + 161918030, + 453647940, + 223302967, + 693703550, + 386187943, + 610232959, + 936628734, + 392570463, + 169144501, + 846916998, + 695639295, + 795373451, + 217276095, + 989379072, + 789607985, + 191152460, + 913685441, + 352124966, + 543799634, + 810593491, + 8679394, + 78486976, + 384616886, + 345901117, + 607599922, + 630879855, + 569817192, + 328156856, + 770689625, + 321233893, + 796314629, + 911345686, + 379839302, + 825503108, + 861476431, + 701590885, + 100403590, + 249268554, + 657178765, + 953308960, + 515181111, + 653825577, + 691212488, + 817307658, + 821996660, + 425789190, + 264682662, + 127309839, + 42492830, + 650272373, + 353940087, + 716689628, + 83446527, + 611087093, + 952192610, + 834350795, + 617644925, + 37275826, + 285808101, + 544487511, + 505602898, + 280339426, + 58508911, + 728219192, + 239077278, + 190952376, + 564648807, + 741232314, + 847876752, + 940160677, + 797912598, + 214762465, + 324548159, + 329592292, + 827495836, + 623861375, + 801652245, + 173761351, + 20104467, + 341993201, + 232337787, + 90219720, + 595179861, + 239360431, + 191307012, + 382351974, + 33035099, + 911944809, + 820247947, + 996480038, + 464626253, + 656972329, + 78443055, + 752052045, + 258267793, + 559094408, + 239073724, + 105590191, + 217866452, + 956507105, + 663922377, + 46851689, + 538400837, + 324701367, + 644289761, + 736786761, + 499615204, + 376538623, + 711605958, + 572335414, + 150057687, + 677067731, + 332975367, + 926801169, + 616081723, + 19920906, + 531013925, + 34993572, + 490436318, + 847445552, + 266906782, + 936024890, + 195580391, + 842354960, + 450460136, + 20274533, + 196935008, + 787076882, + 826876637, + 535858307, + 549196391, + 316694226, + 806457026, + 629855583, + 863563625, + 914782258, + 974337181, + 429270802, + 527580517, + 523984922, + 113923869, + 811334285, + 461177181, + 279838070, + 111371453, + 79325065, + 821308376, + 335975412, + 243614919, + 825116895, + 498921789, + 608259139, + 663712586, + 260285682, + 603137638, + 341980141, + 384018171, + 509691463, + 695611009, + 113874875, + 212904751, + 329528120, + 69629163, + 736770738, + 104112326, + 878670767, + 200481908, + 324880961, + 678558404, + 41705414, + 344538260, + 811878596, + 386608956, + 651042838, + 68809391, + 959914659, + 573143699, + 824284712, + 117104861, + 804721453, + 68366055, + 505713284, + 564813240, + 864825402, + 507917575, + 72404696, + 114643110, + 736371162, + 542693521, + 775065300, + 57471692, + 555330998, + 699717203, + 403007909, + 39747400, + 464456209, + 652633954, + 648838526, + 27955212, + 982143794, + 387229126, + 167560864, + 626502628, + 403550914, + 218635638, + 910443796, + 159714175, + 474059427, + 991798825, + 461150043, + 527330827, + 384317469, + 304014388, + 531923195, + 588547891, + 865684766, + 525170127, + 652469653, + 663572806, + 417494105, + 554646594, + 482195551, + 54358640, + 362798315, + 399634207, + 923919656, + 732987842, + 115935917, + 781792802, + 806244354, + 788292135, + 451120963, + 419331499, + 582492068, + 101314541, + 436812063, + 219922194, + 911224222, + 342336123, + 364436942, + 493607033, + 758820934, + 313627861, + 657925277, + 261732439, + 409327934, + 941235741, + 764469578, + 490417435, + 842883714, + 272655629, + 668345270, + 23994738, + 684580160, + 206950606, + 564839051, + 898243515, + 977553981, + 470738801, + 351139037, + 247829949, + 242499671, + 944468524, + 865833616, + 364906727, + 577440734, + 585949211, + 198912881, + 297976919, + 479609938, + 79623690, + 345088450, + 152688310, + 6928812, + 502042670, + 350671845, + 255058155, + 333735506, + 428852390, + 174012951, + 666373578, + 489844732, + 990841498, + 253261763, + 464338389, + 551451327, + 252396818, + 242626363, + 192628882, + 67435135, + 419689041, + 840807245, + 626923238, + 258577165, + 174288150, + 330548645, + 950657713, + 645411103, + 186120612, + 12548360, + 494514941, + 142115189, + 307837993, + 5672794, + 419375020, + 496047231, + 23306173, + 401131181, + 180806754, + 10841706, + 636878491, + 701774697, + 940767462, + 590542913, + 627164450, + 851111003, + 806757352, + 410487523, + 889234094, + 543491184, + 438624596, + 151064368, + 406430719, + 662682323, + 772996330, + 300028365, + 702722761, + 964468824, + 411238301, + 34152881, + 229213150, + 184969961, + 362866047, + 575894075, + 217117676, + 396484574, + 712088915, + 112099943, + 831912231, + 84575519, + 889709903, + 158658384, + 901137082, + 885898440, + 471871195, + 234666561, + 746125444, + 436925692, + 799608256, + 215948997, + 162248527, + 803926016, + 357660628, + 357903927, + 91050517, + 647777867, + 592456305, + 504752952, + 121202909, + 686225442, + 59851481, + 715855152, + 527852437, + 197909196, + 723955262, + 902619717, + 10240796, + 45195209, + 887661510, + 586417099, + 803771514, + 509661368, + 23293765, + 366184883, + 701516360, + 661054294, + 939369955, + 621085820, + 42533461, + 914796942, + 947071001, + 219724556, + 485391570, + 607797679, + 355948474, + 734984097, + 39895987, + 89270221, + 41963839, + 389615516, + 890345716, + 722032821, + 289929855, + 104192519, + 863277431, + 601011809, + 666816156, + 425776232, + 552572868, + 603196837, + 761691433, + 964441909, + 530215261, + 692613830, + 75181782, + 801501873, + 803781597, + 137480281, + 430721656, + 29164832, + 250078954, + 869810726, + 460735226, + 366989677, + 700797177, + 872564590, + 280464315, + 796475551, + 190340450, + 318664915, + 611606052, + 688279360, + 895506157, + 768505255, + 935260854, + 790044583, + 379009447, + 649436334, + 798030340, + 432931265, + 811723352, + 667470689, + 706457820, + 634329976, + 523246816, + 697935190, + 758925470, + 306809461, + 66444414, + 645609263, + 447913746, + 536244283, + 877976605, + 623324286, + 506948816, + 854872946, + 834000679, + 543899806, + 555073738, + 246751817, + 787511655, + 208642866, + 131730358, + 531890992, + 467685252, + 93810624, + 77363003, + 509253025, + 791259303, + 394624206, + 996746690, + 78003241, + 799911069, + 497833389, + 37214648, + 962440973, + 728374351, + 177191466, + 6022373, + 249413015, + 417466720, + 368637271, + 365602281, + 567240438, + 742567697, + 847592437, + 979187930, + 428437406, + 970511686, + 166106526, + 908324762, + 654161597, + 301887420, + 803257610, + 912367048, + 415820808, + 345721574, + 585118128, + 877682611, + 664788664, + 599523175, + 993347196, + 993209569, + 491088496, + 694423663, + 448472737, + 536665768, + 456276033, + 848754438, + 691604521, + 876381226, + 159298711, + 1392236, + 79444164, + 251313597, + 152095737, + 55642184, + 221072545, + 145939186, + 598170474, + 477061060, + 856020402, + 715134874, + 459115723, + 629165645, + 194001774, + 527630907, + 770186591, + 836883786, + 866907974, + 934349434, + 20727810, + 473058042, + 428586201, + 951791314, + 134107174, + 323557463, + 88816619, + 551277022, + 802548534, + 164773722, + 89768218, + 514704084, + 324403849, + 833945114, + 662782611, + 774818841, + 616313535, + 743316120, + 955732435, + 329267195, + 659738459, + 145028402, + 24050941, + 62387118, + 295795031, + 106791464, + 518711208, + 244907206, + 192382855, + 874967944, + 626304545, + 394076065, + 738304328, + 107983559, + 301670283, + 467292527, + 145045456, + 912454342, + 516736552, + 962069434, + 726620194, + 537457560, + 92605700, + 258570388, + 684316319, + 368288455, + 885614440, + 590887797, + 599892554, + 919714654, + 532090593, + 652828379, + 595255944, + 642708187, + 781590068, + 183541722, + 298892077, + 412222122, + 925699114, + 843119482, + 962256275, + 321379137, + 807527899, + 300212293, + 418360534, + 302653219, + 871656850, + 224692383, + 595716132, + 34475580, + 142366243, + 900581057, + 458326226, + 491680710, + 882410308, + 91824052, + 604173344, + 8243158, + 342800527, + 15832332, + 422699437, + 363719339, + 855364040, + 488142413, + 510309158, + 147005435, + 603117729, + 100494043, + 565346673, + 495770219, + 138886980, + 133863144, + 912561016, + 121290531, + 630589352, + 960968687, + 744821247, + 772313662, + 959848675, + 82867073, + 976432944, + 22958071, + 504213538, + 60635680, + 90032846, + 67586123, + 101347399, + 593217305, + 787981693, + 595570611, + 596553011, + 280729940, + 216016943, + 722222300, + 99587131, + 994241671, + 927294049, + 191839561, + 916924338, + 313989722, + 401126964, + 360706287, + 662557456, + 395614500, + 715922449, + 13683792, + 272006607, + 46788981, + 982362538, + 234391132, + 672430718, + 680872203, + 325372883, + 671573985, + 68142470, + 624164526, + 990101020, + 728517163, + 148293796, + 959871252, + 731802306, + 296567609, + 737880167, + 632145843, + 226449080, + 114389104, + 23444169, + 263869011, + 40541501, + 36875729, + 289460743, + 761454949, + 401394396, + 655044459, + 102831369, + 610405320, + 510646248, + 700817461, + 799868189, + 164103077, + 106359726, + 313285253, + 942343836, + 843919441, + 631765544, + 843525590, + 271108409, + 372082996, + 178988939, + 264447788, + 101713373, + 857549554, + 575687567, + 497065221, + 198158773, + 977440912, + 449533621, + 10472630, + 666628896, + 795156383, + 576242523, + 42695742, + 770202928, + 763049156, + 285801186, + 771145851, + 342499390, + 817732574, + 389688821, + 149847848, + 70094705, + 297193609, + 755110323, + 949278440, + 452660711, + 476538738, + 610985624, + 346287829, + 666771185, + 30325169, + 395638855, + 463334879, + 641436379, + 546288372, + 222678400, + 966459843, + 656006616, + 432587971, + 107313057, + 33598233, + 74006833, + 830428300, + 809671128, + 539129559, + 241523757, + 80900075, + 949329782, + 172901739, + 154444972, + 685128679, + 375726798, + 430739811, + 187985898, + 742686925, + 865421896, + 259373377, + 838502623, + 284877244, + 232780387, + 902119473, + 490596614, + 470197491, + 372720825, + 320926319, + 735063149, + 96449942, + 943281582, + 964237513, + 569243779, + 615071851, + 314865438, + 654882057, + 103306734, + 718749349, + 627274308, + 246437976, + 147004156, + 978873386, + 579422059, + 817095532, + 389751057, + 150957440, + 857218084, + 191793711, + 738442551, + 548577788, + 808640760, + 65381483, + 390494313, + 409839716, + 307097076, + 165408469, + 969701262, + 852626791, + 891944604, + 991687789, + 58915100, + 627247615, + 732136465, + 302150023, + 712566397, + 463614236, + 527952951, + 828610458, + 404025651, + 818474030, + 914934132, + 824416847, + 986451119, + 200115021, + 65788795, + 483231932, + 360861091, + 735873450, + 184919016, + 125838113, + 717802601, + 585046392, + 579286789, + 313697798, + 561915847, + 430913594, + 297248954, + 302865941, + 321507762, + 915106260, + 736680043, + 761214008, + 888633455, + 317127670, + 190936174, + 692251634, + 177827389, + 918999021, + 220190044, + 396117996, + 628568199, + 26102509, + 811530328, + 923947717, + 55252740, + 337419520, + 658507034, + 378036244, + 472052417, + 654313257, + 406058743, + 390867131, + 500382591, + 462743950, + 665671557, + 549734307, + 79290003, + 93693914, + 868961708, + 709073649, + 80337270, + 775502165, + 627004436, + 556640777, + 83868075, + 883650303, + 75657958, + 855372773, + 968686496, + 470643161, + 15838115, + 789341076, + 400641052, + 35676652, + 583143325, + 508108660, + 925853850, + 516864895, + 562537011, + 353492917, + 772695372, + 142927657, + 45429278, + 45380915, + 748304418, + 68479614, + 248260876, + 691503410, + 89406788, + 647535039, + 792620439, + 249301599, + 650267021, + 541524575, + 216976940, + 807800317, + 759057249, + 690015472, + 552021336, + 123912751, + 224084687, + 941139650, + 875177595, + 638850000, + 410405227, + 554011643, + 494879351, + 573191697, + 578791208, + 705110949, + 847819699, + 981601703, + 274873117, + 720298603, + 734189142, + 106244833, + 776060474, + 626983047, + 945204613, + 751745477, + 997150170, + 809320498, + 226538738, + 321458542, + 276648172, + 574697698, + 334109839, + 294079551, + 181227799, + 958053552, + 472212119, + 407929550, + 547877066, + 183747013, + 475879629, + 94617612, + 807354696, + 882763026, + 211275900, + 251153000, + 915438415, + 400942514, + 328605606, + 222212519, + 355541176, + 260904719, + 281440774, + 974502972, + 817783723, + 195916587, + 444584990, + 709547448, + 872146924, + 194181959, + 631049771, + 14899912, + 123647157, + 854433845, + 723424984, + 688810013, + 517421940, + 208580394, + 422609214, + 412091115, + 886023169, + 804043640, + 822396152, + 542087888, + 127977360, + 870144285, + 922830129, + 190043447, + 677979576, + 750585734, + 414489475, + 314336584, + 621462920, + 876822167, + 880942582, + 364207708, + 492976938, + 526377216, + 363216832, + 903376249, + 76263958, + 581860800, + 982265310, + 371172748, + 599028596, + 860373684, + 562774468, + 192933502, + 898259535, + 606759995, + 685881501, + 3304270, + 17128575, + 214411944, + 682426811, + 895521289, + 622157762, + 962164202, + 253533197, + 668402319, + 657285663, + 481112295, + 860517038, + 580393168, + 920520959, + 534689745, + 772032587, + 354958887, + 824582013, + 478505481, + 339520553, + 809556239, + 443720496, + 589395538, + 955066590, + 411197764, + 426434677, + 293373165, + 192393410, + 252702486, + 321342551, + 163599000, + 85518746, + 769364541, + 834326234, + 264827941, + 602189183, + 66422511, + 836263847, + 557169782, + 965768511, + 943890145, + 138567198, + 290280797, + 55998339, + 176758673, + 255990268, + 405067889, + 485223819, + 326257453, + 41801771, + 300599161, + 522937048, + 964868733, + 374590487, + 348642396, + 330600259, + 187951714, + 239643314, + 486568268, + 727204814, + 896103362, + 506719830, + 454646956, + 309343592, + 164780752, + 500543213, + 411930770, + 145405078, + 361636234, + 187007084, + 62487178, + 917692236, + 907148403, + 909747942, + 849463219, + 73857482, + 345576566, + 487249414, + 946054614, + 155802869, + 156310762, + 957263165, + 49484130, + 524727501, + 33013087, + 510244451, + 954617469, + 627963369, + 728146927, + 624377773, + 79157397, + 152638049, + 341743619, + 656712582, + 893597881, + 516477517, + 692572811, + 917468953, + 920250588, + 589748417, + 1459643, + 379441942, + 37252933, + 145462292, + 850537523, + 735230746, + 450259308, + 761951708, + 893359126, + 282490095, + 68844790, + 667017304, + 270176650, + 142458820, + 304210311, + 354256325, + 47478055, + 586368181, + 628082731, + 186058217, + 734446717, + 150743162, + 840405274, + 184298476, + 204959115, + 576991599, + 478395010, + 692552546, + 737191691, + 738757298, + 349891731, + 498507673, + 159269388, + 215203440, + 262287754, + 868412497, + 328792006, + 714488932, + 231218075, + 33845727, + 948073700, + 326188080, + 278790909, + 815469350, + 953540117, + 514045769, + 235860140, + 987998610, + 535847292, + 186157940, + 696076926, + 724017363, + 121824867, + 299806509, + 421938928, + 291774915, + 51841205, + 287236072, + 572228415, + 558164570, + 950003344, + 879907506, + 473493552, + 774818248, + 845708259, + 898794869, + 56459255, + 796772042, + 375337054, + 971083401, + 423636847, + 750800330, + 399865749, + 327665303, + 4057308, + 763531927, + 558029241, + 340062576, + 133913325, + 199574414, + 734184755, + 562649442, + 144129551, + 911597463, + 22111520, + 85690535, + 239939987, + 198285546, + 401680775, + 615417291, + 15772515, + 377386206, + 759462991, + 495538757, + 743870183, + 332244917, + 80916598, + 7316464, + 843126102, + 258278425, + 10908732, + 679838691, + 236447324, + 538451172, + 40272839, + 46541250, + 549919017, + 289254695, + 718358200, + 702643347, + 83461821, + 923335595, + 38165615, + 168705185, + 783973190, + 99039569, + 982305823, + 913040739, + 700919409, + 551888822, + 904959024, + 464166169, + 83558929, + 391125636, + 969110020, + 337226464, + 621047524, + 651657489, + 300195180, + 972137042, + 266192816, + 843558426, + 560722978, + 991612801, + 685097958, + 875618415, + 679679037, + 308691009, + 262552480, + 860540393, + 813784008, + 52762035, + 640980592, + 881614443, + 932487147, + 244043388, + 494279567, + 557995408, + 689483528, + 666241328, + 370031497, + 229554457, + 386956473, + 153326136, + 572943214, + 221139611, + 202201457, + 871451742, + 731872617, + 712632919, + 37332798, + 871399459, + 706288238, + 364737882, + 682673855, + 484173961, + 549893021, + 127130365, + 785643772, + 866996577, + 123091874, + 812973037, + 550042819, + 321785676, + 669647155, + 863871826, + 348654971, + 518630139, + 285618580, + 616583471, + 713331193, + 276825038, + 599387857, + 897758426, + 754347176, + 880233544, + 518001800, + 576050561, + 855178569, + 701480061, + 95097274, + 851528633, + 791075357, + 704411492, + 771832795, + 464116037, + 184630816, + 711143696, + 676133120, + 638071142, + 64227033, + 223855760, + 222200440, + 359317764, + 946448122, + 271021522, + 476408498, + 431147530, + 411110763, + 837304898, + 762763683, + 875457018, + 253349234, + 679779727, + 95021319, + 87047538, + 897306997, + 289897045, + 29247771, + 863680675, + 813187840, + 701133485, + 102948951, + 152087573, + 272646939, + 469157771, + 193061072, + 748320388, + 729204526, + 372192280, + 918089936, + 348290013, + 5841329, + 589221720, + 363342557, + 492556170, + 955046549, + 766755730, + 119189065, + 65925707, + 823983681, + 279723170, + 256188704, + 850596249, + 949676256, + 690558807, + 8571939, + 69563223, + 558637985, + 175450762, + 620823722, + 236799703, + 581891535, + 24666490, + 640207019, + 283325270, + 376635181, + 745356996, + 274819358, + 988602924, + 148426670, + 593710906, + 4253844, + 484426851, + 89884046, + 882358398, + 861796240, + 79661506, + 974991808, + 947216100, + 506012485, + 436807644, + 684178305, + 906853429, + 290762531, + 315715801, + 623901066, + 301930359, + 763820190, + 464359479, + 200255563, + 859121848, + 267496949, + 57338545, + 845509189, + 933751956, + 34738299, + 568696737, + 763222085, + 982812509, + 594430870, + 787673875, + 961156889, + 494196706, + 472970221, + 914426847, + 690571330, + 914108021, + 292925210, + 156385753, + 66073144, + 105464259, + 780480772, + 592287881, + 690930628, + 925420495, + 565354784, + 298175124, + 349854442, + 101164164, + 899375561, + 170157910, + 102136019, + 834066817, + 989836492, + 184631096, + 833660445, + 786795713, + 713548051, + 641807104, + 229436970, + 201641921, + 560489227, + 854446085, + 472888205, + 970664813, + 639920280, + 785409829, + 787022726, + 462865012, + 569980048, + 275540748, + 165970557, + 1889237, + 622791781, + 202623801, + 834940307, + 310580857, + 606943347, + 238628170, + 444302883, + 641240201, + 471363401, + 658770635, + 402794814, + 609214127, + 255238900, + 469254801, + 438759034, + 578260393, + 166715951, + 611248244, + 355601301, + 444040301, + 428635391, + 279665981, + 790131150, + 783273484, + 470544525, + 691546789, + 603243096, + 285138606, + 747440044, + 318420356, + 761681839, + 624056935, + 719769107, + 658952971, + 788782061, + 181814573, + 291765530, + 585776625, + 838099622, + 900835297, + 777669605, + 590717020, + 702310962, + 48622839, + 705321197, + 821883491, + 470804252, + 192981831, + 110991328, + 87318376, + 11035542, + 80507137, + 575813607, + 289450600, + 606318493, + 851005888, + 919056892, + 66927271, + 97633852, + 485004287, + 249687202, + 908360427, + 180230041, + 269962016, + 645424671, + 815178330, + 532381442, + 245038780, + 974597428, + 578223705, + 492597859, + 766153947, + 995538923, + 363527278, + 755826725, + 647139554, + 445861555, + 742064401, + 45576451, + 287981263, + 676583068, + 60224936, + 951626087, + 214370574, + 911393025, + 366365897, + 891514259, + 590746314, + 543768753, + 132823666, + 689047470, + 916268612, + 412228698, + 173165566, + 534395165, + 940767503, + 388998263, + 3311077, + 897255656, + 370536348, + 832064183, + 53007332, + 311139942, + 972431835, + 806418483, + 356227161, + 808760045, + 410384782, + 772792393, + 888565380, + 487993003, + 518738494, + 12543900, + 512509125, + 848109644, + 661441535, + 19311007, + 513450976, + 777226606, + 335686202, + 897163267, + 268198822, + 355187107, + 633489672, + 425695944, + 88920662, + 873263778, + 60081997, + 265595702, + 922398162, + 819771642, + 295538480, + 268322103, + 382290093, + 447066923, + 796385116, + 22509996, + 757520500, + 194593219, + 496081844, + 645697965, + 849971315, + 479363534, + 79955001, + 545447227, + 236456471, + 448153505, + 974571188, + 261972926, + 118913323, + 274618938, + 325415895, + 759662046, + 962833753, + 664638114, + 130231034, + 83408531, + 396955253, + 121964459, + 375415413, + 176709293, + 78846037, + 393887789, + 833554893, + 38750607, + 263524531, + 111467789, + 92755662, + 924718513, + 995316765, + 824668497, + 440299253, + 688168066, + 781626671, + 54889791, + 640600323, + 524736289, + 829811852, + 501192637, + 121631957, + 473979383, + 427405895, + 848345648, + 559148660, + 288250753, + 769474111, + 979870253, + 168692512, + 248815449, + 642823960, + 478841080, + 517622890, + 598833801, + 882863752, + 603758796, + 69734848, + 898723534, + 323080384, + 911083089, + 272374179, + 842879823, + 689287350, + 638809065, + 282921243, + 246585127, + 773971446, + 997675743, + 962777757, + 578769687, + 568950323, + 770342723, + 892549939, + 155050579, + 947220893, + 994003655, + 518024991, + 137148477, + 983625903, + 309813507, + 745947622, + 482986386, + 809444763, + 289738684, + 86120610, + 235178057, + 219580863, + 521663607, + 193776216, + 248165902, + 9777455, + 681340188, + 599753489, + 437977659, + 220769375, + 917995945, + 192874960, + 647970962, + 21760017, + 522617830, + 117659063, + 356863362, + 1537485, + 311081766, + 5643082, + 732970033, + 831832659, + 357456080, + 262615073, + 81887119, + 213552633, + 300555990, + 656608097, + 30024117, + 915730063, + 405132249, + 144978145, + 389168214, + 158433451, + 157809979, + 813028329, + 718378620, + 257863918, + 632145867, + 447761027, + 69196905, + 64254285, + 645774933, + 909333345, + 265991464, + 562292561, + 752175378, + 335757526, + 5996023, + 447158574, + 278298595, + 789920372, + 292426121, + 964652152, + 701689144, + 859990105, + 200836041, + 89596709, + 682374246, + 673878239, + 367068047, + 265044014, + 680988505, + 768750393, + 785717116, + 511672667, + 664923158, + 616481353, + 238197061, + 475767569, + 265875563, + 692191376, + 634715795, + 2570390, + 657129653, + 887799140, + 360376721, + 292086076, + 575023302, + 571223522, + 485523464, + 184784202, + 855678585, + 342374655, + 801561844, + 819650222, + 140468740, + 869689580, + 396003197, + 188082502, + 789595271, + 593725877, + 607463026, + 542749857, + 375243167, + 883235674, + 903442563, + 221887034, + 132872532, + 225300691, + 836708641, + 127345829, + 888761853, + 401953400, + 143753469, + 353977350, + 734449771, + 734486225, + 517973893, + 742108050, + 293536010, + 124278545, + 31071536, + 818315015, + 980865758, + 166905416, + 539073384, + 780302059, + 247341847, + 788176900, + 818780650, + 9014734, + 485211281, + 662075747, + 446943574, + 296298323, + 701139013, + 384233463, + 726307754, + 63327783, + 162224639, + 272659834, + 114210948, + 176275056, + 322225550, + 494750750, + 435669923, + 420248974, + 986923079, + 807935496, + 399245868, + 240568485, + 489415215, + 779556156, + 427862330, + 715874501, + 998890082, + 312816648, + 404230372, + 138879977, + 640035370, + 658236913, + 536133749, + 189409930, + 985378651, + 943408375, + 244475569, + 342436343, + 217071200, + 312520183, + 921967322, + 599949387, + 715139783, + 479602169, + 787520539, + 320852034, + 582400795, + 646764451, + 584141842, + 272599159, + 146246103, + 705519308, + 908469826, + 149776052, + 267306117, + 892535958, + 485679048, + 24664527, + 667251401, + 363245894, + 483856980, + 118587216, + 138497368, + 375310717, + 770031900, + 559257920, + 79138722, + 18520294, + 16236625, + 247841769, + 810183668, + 555624201, + 89682385, + 543556387, + 184227865, + 29159080, + 631463993, + 578841998, + 719125332, + 718134409, + 560105243, + 695783366, + 495795269, + 877322068, + 742774246, + 136519799, + 322297293, + 190953648, + 642965942, + 651148009, + 825793291, + 848366880, + 262203117, + 788454627, + 848185147, + 469585955, + 515526063, + 849242782, + 899876173, + 757247669, + 518912586, + 657080028, + 907242368, + 626542912, + 205780432, + 357717717, + 343906484, + 973891627, + 906484860, + 675047429, + 962312160, + 432320801, + 484360702, + 776761958, + 969031601, + 23632000, + 968420513, + 706607924, + 554882741, + 372447081, + 694701826, + 873771783, + 169534173, + 841623676, + 460981187, + 655401077, + 366849104, + 431681920, + 679935562, + 37828438, + 208182645, + 995530820, + 422509247, + 100772786, + 201215358, + 862588899, + 44779329, + 567671325, + 328576529, + 740653190, + 176051277, + 690320401, + 288966913, + 635154108, + 339500686, + 270641061, + 669593275, + 20704746, + 207555787, + 531607726, + 803159973, + 745736972, + 637261987, + 440599680, + 54199868, + 39427439, + 534290375, + 548593029, + 215936349, + 412117230, + 578238884, + 62270160, + 945719965, + 360064481, + 116054742, + 27711553, + 492381786, + 94087964, + 692769097, + 856830651, + 10079110, + 197390042, + 570833308, + 398103844, + 271414016, + 876763582, + 179067241, + 856907644, + 299473961, + 85168672, + 227913635, + 182646106, + 7953039, + 30008040, + 23481539, + 988007091, + 494318636, + 418666553, + 301209462, + 954936837, + 852261784, + 598763136, + 363752446, + 879770656, + 281885262, + 339547946, + 524769731, + 113533882, + 62688088, + 944701683, + 540569955, + 805914594, + 174318444, + 636478775, + 288935996, + 846163118, + 6933279, + 948143655, + 798966516, + 992546518, + 283749336, + 293638126, + 682628756, + 675381425, + 734493757, + 892734725, + 867766886, + 648926284, + 656234375, + 12291511, + 43332683, + 226275343, + 274810104, + 940339915, + 535725641, + 771829090, + 494952143, + 676321148, + 816658558, + 414217821, + 223925295, + 129870265, + 163676703, + 87841183, + 493811269, + 219736597, + 583384202, + 605405151, + 122010915, + 783240518, + 994873462, + 321881180, + 902070369, + 633129504, + 29566631, + 666010803, + 249878860, + 11703525, + 634872961, + 814565278, + 322674240, + 3768196, + 972212568, + 721173578, + 200544544, + 482460777, + 518450026, + 435331927, + 605349521, + 770413209, + 823119462, + 161788846, + 7964471, + 100637231, + 970084812, + 783421997, + 201097047, + 266752500, + 30207067, + 202412961, + 728531581, + 728895609, + 614426019, + 398499830, + 100953717, + 992215407, + 43445998, + 851684325, + 30958392, + 432309097, + 902032955, + 472530145, + 14599818, + 162022319, + 116446857, + 926123886, + 285615768, + 951329543, + 237593170, + 541738879, + 941894822, + 468388868, + 900937349, + 897808791, + 634620723, + 19733648, + 365834960, + 383353347, + 12077503, + 285630379, + 410400835, + 518977870, + 728374378, + 499105059, + 687241336, + 187509732, + 91777862, + 66436514, + 581040299, + 544511686, + 848330775, + 506948508, + 852295134, + 352117921, + 480048443, + 711425558, + 637081445, + 886315932, + 715137752, + 737870362, + 848108942, + 456443354, + 275901370, + 779773386, + 910145766, + 182551234, + 772530601, + 823633058, + 175198429, + 697646565, + 384318624, + 698533227, + 774534675, + 574986922, + 287286845, + 740509082, + 502078495, + 774719793, + 191152899, + 459082349, + 608549553, + 630243867, + 62822387, + 673101955, + 206264350, + 821934609, + 339317585, + 607765385, + 731603762, + 815542012, + 32158127, + 208254331, + 545489321, + 878167018, + 373401899, + 705359126, + 911210908, + 751099254, + 611170386, + 180678505, + 481032847, + 561489024, + 437540447, + 714743416, + 623470341, + 867032431, + 426103035, + 187394170, + 972770300, + 767087515, + 370523297, + 7674861, + 944474792, + 541986061, + 771598434, + 6405700, + 269233814, + 763686761, + 793758062, + 148403583, + 484421578, + 376346017, + 143978985, + 292651974, + 743217116, + 430172240, + 440608717, + 119850863, + 710330150, + 849584841, + 756419165, + 395218534, + 313735374, + 512449608, + 670639704, + 916004494, + 787945132, + 225528918, + 164386336, + 23553749, + 565626363, + 314337475, + 580280503, + 400323809, + 240870136, + 229370031, + 570539938, + 465347228, + 803211533, + 418703449, + 366085891, + 496577607, + 490830370, + 297997277, + 46899797, + 271291375, + 248755674, + 146620732, + 175431417, + 633134805, + 873301314, + 16602139, + 293661599, + 868370986, + 970316555, + 187997377, + 14275234, + 2613735, + 148424093, + 791606209, + 305710533, + 219634156, + 414055225, + 388621152, + 322172629, + 725317450, + 14720368, + 361220672, + 437032596, + 17088960, + 55031101, + 297321695, + 247089060, + 537445195, + 95681841, + 712900488, + 853380491, + 246115213, + 151639446, + 507220727, + 748643990, + 930648537, + 683730996, + 306229334, + 81132001, + 224289122, + 221413952, + 621881907, + 404886702, + 96250993, + 147214863, + 517846881, + 557469333, + 705789570, + 983977196, + 906031793, + 615414840, + 208665310, + 665994138, + 166290313, + 770492812, + 587575497, + 856096171, + 264023389, + 620179413, + 207522876, + 907709904, + 375005922, + 104128842, + 82975774, + 124811182, + 570750565, + 260358335, + 439367887, + 899060034, + 462396692, + 477197115, + 325902845, + 795333818, + 624307681, + 809459085, + 834097495, + 768979319, + 487622626, + 902648985, + 907877770, + 608843222, + 384953349, + 300421778, + 614268213, + 563653071, + 599946935, + 352328657, + 69706539, + 112815841, + 954522432, + 171267047, + 778253987, + 678850347, + 711712870, + 963490133, + 668004367, + 565825914, + 908233023, + 161933692, + 780093430, + 410403042, + 28676842, + 443060720, + 15654405, + 797981880, + 657989737, + 264500421, + 227477741, + 278194421, + 268619871, + 391240962, + 554883853, + 398259327, + 955276782, + 77023455, + 807043527, + 348045056, + 530579812, + 956206885, + 277944499, + 459009114, + 729758297, + 54720464, + 562765471, + 887005134, + 995119959, + 635904012, + 766614885, + 74550887, + 775927403, + 355919579, + 194565851, + 793881314, + 483814251, + 821939531, + 299968251, + 96397305, + 68367844, + 36778963, + 593055904, + 575361304, + 606073908, + 216646301, + 453644587, + 712408878, + 392318206, + 50981118, + 177052714, + 657434125, + 960675992, + 847481327, + 954944360, + 346653587, + 505365047, + 732879667, + 918375961, + 740854295, + 292598772, + 428908485, + 874597924, + 626967042, + 745127237, + 923196868, + 279939851, + 908018437, + 891117962, + 9457006, + 279962571, + 121617314, + 537158128, + 746000627, + 206195021, + 297568541, + 201952039, + 964233700, + 100030331, + 983303194, + 686878277, + 384705376, + 892102859, + 631990587, + 550767535, + 536243148, + 765761453, + 542057054, + 511529530, + 861252225, + 867880081, + 690241597, + 176630702, + 121533156, + 91551525, + 466095630, + 782198730, + 491182019, + 201842032, + 729885951, + 654740909, + 635006939, + 78937086, + 319666468, + 284013814, + 189447754, + 873284036, + 645647297, + 953162432, + 769582145, + 507482857, + 397839417, + 655285864, + 44571021, + 134977231, + 329870814, + 895435441, + 943625697, + 907812037, + 243048152, + 945751497, + 806184324, + 844674374, + 600500313, + 546949394, + 337333299, + 443243254, + 13259500, + 694782541, + 654273724, + 742602848, + 581240864, + 860995157, + 33393512, + 584606166, + 371294819, + 81472055, + 271353026, + 864024293, + 791658761, + 670830023, + 745238340, + 95603171, + 139791326, + 176245360, + 308197955, + 168479805, + 33573126, + 282387854, + 5773279, + 401902226, + 536576121, + 91296643, + 70488132, + 711630875, + 505703933, + 895318099, + 861664820, + 353371275, + 973753725, + 230530512, + 631599588, + 546183701, + 679194142, + 465575779, + 200112264, + 97997718, + 920333062, + 534207337, + 733306045, + 477572757, + 185524323, + 281403524, + 728503414, + 842742708, + 118889571, + 820422996, + 859682059, + 29060121, + 442559572, + 888773115, + 909469310, + 479629637, + 740414019, + 479315594, + 128990933, + 111596984, + 79051459, + 114805631, + 213196446, + 937716199, + 754661403, + 837441596, + 383411396, + 553541389, + 95366387, + 800489383, + 56360624, + 213546130, + 364546796, + 903795617, + 854198358, + 730577364, + 615718556, + 634878447, + 911799848, + 421772836, + 288963920, + 315600360, + 236630537, + 248321485, + 857815513, + 782330384, + 225812404, + 616463730, + 666464852, + 650983840, + 56379411, + 275302893, + 547891617, + 957230532, + 404519336, + 454329224, + 859367103, + 853098622, + 219230306, + 117117027, + 368051407, + 112091008, + 672701203, + 605479038, + 670687296, + 578141485, + 45683294, + 202405911, + 834524469, + 993575878, + 536962551, + 717730959, + 543926600, + 781563949, + 163824685, + 157458705, + 846706589, + 789086580, + 550250943, + 537380764, + 581454505, + 758331964, + 688797485, + 11543057, + 51162869, + 916678590, + 490409915, + 19612841, + 456182322, + 745003424, + 35953862, + 276883104, + 257423427, + 955836491, + 819276005, + 904024572, + 378186331, + 506952712, + 65106136, + 145015496, + 536134437, + 346157928, + 524731574, + 689623730, + 954998003, + 546593694, + 79039056, + 409754782, + 213421330, + 613314748, + 25933167, + 835472967, + 1646365, + 783481497, + 598975102, + 561393480, + 378091033, + 671047478, + 457264909, + 70212475, + 622152907, + 12732708, + 346656640, + 446946300, + 806619391, + 468225671, + 542168892, + 538696662, + 300526318, + 895280124, + 916902533, + 537842911, + 983333846, + 136622672, + 24933862, + 802469667, + 69905931, + 421700350, + 835816807, + 526502451, + 269528634, + 908138868, + 105372984, + 304469792, + 597262227, + 886492997, + 469536119, + 451209998, + 343057163, + 105093077, + 557735336, + 442058029, + 897693743, + 689215100, + 963313567, + 483462176, + 518278936, + 800410207, + 13228855, + 290540737, + 146220506, + 53905759, + 818981368, + 819539353, + 948737548, + 83332120, + 464410520, + 924051903, + 767837073, + 652796828, + 302944747, + 530953290, + 542009593, + 724996057, + 890889249, + 376452260, + 822441448, + 62236054, + 443564856, + 762021694, + 888128620, + 750785556, + 615046021, + 850651124, + 684427967, + 763045363, + 409767145, + 573716577, + 16242486, + 910907536, + 682514732, + 771662550, + 382551027, + 562185876, + 561099510, + 154473060, + 956227622, + 310881752, + 24885738, + 122724740, + 705865887, + 579444701, + 350632134, + 812647317, + 109046085, + 740326830, + 641476421, + 597608474, + 572733277, + 477175718, + 49176658, + 509912961, + 64381912, + 959912721, + 488347562, + 386208528, + 231515089, + 40376279, + 241145272, + 87997934, + 932544449, + 723485947, + 484388170, + 550696959, + 374739313, + 298557956, + 856479869, + 919892510, + 610309496, + 154978481, + 445316117, + 875339274, + 374028593, + 513139270, + 85166735, + 327758896, + 472996630, + 822842317, + 365646201, + 823264141, + 883709398, + 369599735, + 735372989, + 739143376, + 807625713, + 183512181, + 271826617, + 882449681, + 503156378, + 168640499, + 165591767, + 77824710, + 295158483, + 527180708, + 805858786, + 694526654, + 592001157, + 883072702, + 390573122, + 884634676, + 340847402, + 439862584, + 254121992, + 685836198, + 446591464, + 340154785, + 98959457, + 454035207, + 102613333, + 552120046, + 198003336, + 814577658, + 365436522, + 640562003, + 117249241, + 993818233, + 870412405, + 2282143, + 147254648, + 594791355, + 328548056, + 89111233, + 920260078, + 362907827, + 265226889, + 644929606, + 390969639, + 288767299, + 915217856, + 430961380, + 945276360, + 595497295, + 942638564, + 123248722, + 739589557, + 450516390, + 866479818, + 339626728, + 558993589, + 363608529, + 839366024, + 473939996, + 293538212, + 512822186, + 656228361, + 51898543, + 66845216, + 930625070, + 723807565, + 626250469, + 33788579, + 590071493, + 239769018, + 496623753, + 588900196, + 758019906, + 628553545, + 169943210, + 854083597, + 702508216, + 649825579, + 47710310, + 420623734, + 865222646, + 34755128, + 693550148, + 239003571, + 918254884, + 210003819, + 530595180, + 678775264, + 639460732, + 940944330, + 630570197, + 733087774, + 428101833, + 71844828, + 312722250, + 665573923, + 177173264, + 481026137, + 135562158, + 116550547, + 200927417, + 997961521, + 242026757, + 951270566, + 193464133, + 797201026, + 580980008, + 946350988, + 879659449, + 63196024, + 527046539, + 990712408, + 716520871, + 891622739, + 99827641, + 320422, + 816255759, + 480469749, + 628515100, + 789663457, + 140538673, + 864967151, + 736756204, + 144233709, + 239102183, + 420918027, + 195562331, + 844239525, + 67998405, + 534747550, + 243026788, + 844902190, + 706778400, + 918729605, + 512888025, + 417920306, + 362290991, + 331739204, + 981648114, + 246335728, + 147773591, + 877180640, + 327754867, + 899266030, + 639872255, + 660366740, + 75054143, + 229171949, + 17214651, + 820663589, + 306544354, + 764802269, + 438109478, + 128396429, + 223909258, + 515199998, + 504346286, + 368932477, + 235067399, + 995766686, + 640434261, + 812307191, + 148754014, + 100822101, + 499777226, + 133598491, + 335154260, + 764540345, + 574574946, + 934351844, + 441112801, + 94074073, + 698248824, + 428913539, + 739127693, + 225142797, + 662006326, + 138881162, + 396135311, + 694608632, + 346332638, + 280483294, + 394878560, + 531886777, + 241360672, + 707094479, + 397068974, + 212655443, + 988113671, + 744961217, + 871190317, + 679211348, + 373968552, + 36437364, + 725192369, + 208073080, + 951447821, + 596434345, + 41851886, + 215450484, + 7529701, + 977243234, + 211070765, + 392620846, + 158683689, + 235353800, + 204069917, + 744834659, + 986008113, + 965070638, + 949972036, + 375428641, + 34800993, + 227721263, + 696172084, + 687277739, + 117695665, + 562933603, + 688172945, + 226035889, + 674509272, + 212740824, + 413651329, + 638506580, + 916752809, + 343785640, + 107684402, + 538791351, + 967986475, + 32029322, + 57964298, + 520258549, + 573049828, + 33769934, + 72359330, + 610883651, + 758730345, + 880239839, + 651639765, + 498452124, + 545198207, + 515965087, + 29044934, + 888505474, + 370002530, + 663103197, + 456079650, + 10114849, + 1230956, + 691740715, + 16371824, + 128566645, + 372741257, + 840108845, + 623196700, + 935501956, + 399540057, + 108190420, + 47506429, + 918824986, + 905941637, + 723385873, + 279224471, + 763552502, + 307288794, + 165732605, + 525152639, + 122121504, + 350449014, + 267668893, + 913316992, + 985893468, + 74460985, + 128069743, + 639707735, + 306044134, + 117051413, + 399139638, + 721213237, + 775858993, + 924155671, + 565387108, + 174666874, + 802716534, + 196179737, + 949203619, + 236448417, + 633551621, + 659021787, + 966179447, + 675559866, + 145145376, + 765979016, + 672404352, + 871845773, + 508803703, + 633093970, + 188144917, + 554513289, + 809026801, + 586683293, + 554576994, + 768495736, + 164096027, + 576167186, + 96539800, + 134106467, + 207202361, + 458923633, + 315490763, + 156729882, + 277297948, + 782044030, + 398475314, + 983622482, + 808479778, + 756395371, + 581429421, + 477390208, + 895770603, + 603064840, + 761213791, + 208097644, + 521456340, + 674183376, + 376963439, + 26879528, + 872688136, + 906960320, + 935336940, + 93954497, + 683597379, + 139202780, + 376388069, + 68348299, + 331323606, + 493373994, + 532553878, + 280935067, + 180508704, + 893046296, + 864220488, + 418579698, + 323254110, + 565203037, + 749159191, + 925441298, + 36351469, + 859500533, + 499027018, + 930626787, + 548222194, + 863636918, + 698743279, + 252848134, + 741857389, + 107139244, + 797742196, + 962890625, + 712467654, + 771971417, + 361267511, + 418667603, + 33151542, + 661958709, + 987168804, + 199716945, + 822814867, + 847654879, + 472516781, + 370134415, + 341672960, + 643113914, + 763391559, + 827670926, + 693402939, + 342102894, + 190682981, + 830696690, + 67772051, + 89586108, + 929978994, + 64224599, + 686485618, + 123665810, + 366908934, + 401933522, + 134750897, + 942160784, + 636383959, + 522110042, + 33282928, + 168925512, + 550111026, + 525756927, + 616179447, + 771691906, + 551466930, + 372571206, + 124792243, + 697946290, + 962915433, + 752389788, + 627754902, + 481878115, + 799653211, + 341180752, + 226964223, + 511451791, + 906604785, + 657575207, + 989915472, + 598018166, + 432854237, + 59090613, + 583209615, + 438108042, + 921428921, + 348232111, + 48787627, + 604412040, + 967226912, + 810281039, + 544434213, + 903290324, + 287509705, + 783986962, + 789976497, + 441181864, + 659781267, + 878361662, + 820093335, + 808801763, + 426539298, + 435184059, + 12226377, + 676676217, + 849140987, + 724963631, + 496209489, + 8325207, + 466404251, + 574380929, + 752754067, + 312224012, + 285903765, + 174841468, + 746056271, + 539635064, + 212800852, + 786335636, + 347397682, + 387785792, + 658226722, + 245734428, + 278687424, + 889165245, + 944451964, + 75934319, + 266079533, + 240891135, + 85416194, + 277796425, + 366997447, + 508581532, + 930329759, + 49331561, + 149647163, + 39373778, + 141609852, + 144560473, + 560215924, + 237829388, + 173820854, + 795519705, + 388009395, + 250622078, + 888390110, + 551509238, + 109554083, + 723709286, + 907051275, + 294195647, + 397397743, + 564504330, + 193830488, + 196425724, + 991545401, + 91749100, + 599249205, + 717915375, + 845104619, + 622991295, + 51074084, + 101475535, + 670207001, + 12448108, + 681269774, + 151619883, + 923053854, + 639432028, + 470095265, + 574019403, + 377633861, + 186462382, + 646110058, + 437944495, + 177604296, + 797866069, + 379669388, + 526101627, + 742336150, + 63092175, + 155469945, + 19174041, + 173015852, + 568849173, + 103486721, + 574891816, + 250045036, + 546850377, + 727806215, + 583013326, + 549999877, + 454689926, + 860098791, + 318790173, + 942747679, + 881932356, + 514445243, + 169371246, + 350929779, + 939560757, + 261853115, + 865950642, + 787133091, + 537537210, + 982852945, + 581752928, + 100262439, + 508808777, + 734314104, + 526309812, + 912050137, + 218770320, + 676610204, + 662480723, + 850983427, + 889476384, + 615169657, + 346829421, + 10175472, + 887861029, + 961658978, + 258016791, + 734028276, + 359430923, + 335493480, + 523736938, + 967757691, + 258964030, + 48962224, + 282491898, + 137444961, + 67422077, + 155764079, + 405947510, + 160957298, + 986248126, + 139166970, + 612301449, + 475282361, + 693674473, + 639696443, + 89847926, + 657534925, + 283689333, + 452011972, + 447978195, + 224726879, + 327522442, + 196268760, + 50705101, + 458071437, + 125636823, + 474740824, + 836779619, + 275146272, + 262097736, + 397330671, + 438349278, + 854116894, + 754885020, + 20972617, + 906381922, + 556988836, + 69246340, + 750931437, + 230803960, + 874582026, + 452961059, + 514841468, + 478651030, + 502749599, + 331392841, + 676179085, + 955783494, + 263347970, + 523891783, + 702796169, + 394927073, + 318939704, + 341205353, + 752761330, + 240564481, + 731874628, + 900448853, + 773469961, + 3084504, + 169731473, + 814502764, + 272511570, + 498598738, + 220918974, + 919129517, + 949987460, + 974341707, + 193801190, + 232042183, + 669504788, + 970336096, + 770217174, + 230112784, + 462331927, + 32610244, + 968808852, + 471086245, + 473923514, + 485368507, + 17362174, + 762758088, + 809504638, + 901079008, + 406197455, + 878415548, + 853008590, + 130112796, + 322316748, + 301061661, + 478813290, + 613847385, + 206025968, + 146928245, + 992133837, + 405576087, + 401351861, + 376252801, + 730339055, + 863088594, + 197048727, + 516420441, + 525435387, + 359543704, + 23831317, + 510063841, + 167318910, + 151799833, + 623836293, + 456559158, + 295036904, + 521029492, + 276407420, + 816170515, + 72692762, + 499681414, + 439487526, + 363737936, + 706893350, + 243725415, + 369291299, + 389251100, + 774452866, + 855155600, + 460149714, + 933832611, + 210186237, + 507839328, + 132509535, + 146364591, + 326259758, + 279487861, + 588784007, + 870238555, + 6871473, + 376439119, + 19333574, + 164675758, + 276015700, + 671065884, + 595317232, + 917440768, + 498753185, + 874598108, + 473458834, + 678621186, + 898421600, + 340202317, + 557378795, + 293201942, + 118907454, + 954343315, + 391506043, + 336805137, + 332222605, + 563485190, + 223571042, + 495930910, + 899911996, + 733296626, + 167927514, + 553795602, + 994546198, + 773691315, + 928041898, + 39688888, + 850636319, + 722022188, + 812938367, + 152730768, + 529003251, + 277670665, + 271145036, + 237231940, + 313876342, + 346536357, + 860978673, + 988042129, + 512656679, + 435696133, + 28601086, + 271873979, + 896683795, + 278083274, + 748844812, + 799457661, + 349216713, + 80371511, + 11450357, + 147283588, + 249722693, + 234482109, + 187520236, + 535315470, + 77686736, + 273104279, + 187635600, + 869885835, + 382883006, + 652471052, + 348241787, + 649403534, + 855287122, + 696701927, + 881420789, + 610741191, + 383456178, + 450525592, + 945872729, + 76495630, + 147041429, + 419275208, + 915871800, + 677534717, + 90324698, + 912862622, + 942382519, + 965402926, + 709557982, + 635939533, + 522989948, + 710529737, + 36719634, + 326490283, + 394753549, + 572235170, + 918536872, + 142590965, + 656075536, + 642331747, + 275856025, + 923155034, + 926358143, + 128126498, + 528267812, + 728159353, + 703969841, + 319648609, + 530257436, + 512325754, + 950070584, + 182131103, + 288846625, + 132804988, + 396085702, + 198175598, + 318849815, + 295036951, + 186966742, + 467653437, + 924076961, + 211148945, + 780934710, + 351351432, + 240881848, + 173384085, + 722565007, + 984634779, + 750387064, + 599494951, + 432531563, + 585068781, + 28871339, + 241046897, + 327900897, + 12247691, + 23813751, + 917131240, + 491323108, + 33763780, + 378049595, + 561652757, + 743273597, + 203357598, + 10093880, + 797780147, + 37919061, + 197182606, + 889549114, + 322152281, + 355868054, + 869251941, + 830999567, + 237269681, + 949676043, + 204672167, + 501001272, + 564194428, + 954105130, + 716230425, + 437943494, + 807878394, + 681918306, + 372059981, + 26635778, + 871140949, + 682119215, + 655111198, + 896766262, + 223017060, + 483851617, + 882729622, + 449438850, + 209078136, + 223698833, + 797351119, + 943450085, + 660300108, + 195929723, + 337650360, + 103431817, + 650185574, + 873215570, + 901561, + 180269663, + 101265262, + 463726481, + 922501997, + 473603907, + 680552591, + 877641564, + 684965996, + 377458468, + 440471720, + 984476606, + 955870604, + 756802941, + 340368249, + 223963841, + 651054392, + 994210546, + 554179954, + 234983402, + 617744133, + 494160397, + 335217882, + 328731621, + 335620825, + 900541336, + 754304869, + 460084825, + 782846447, + 781181348, + 913354721, + 414339241, + 577868722, + 868970432, + 286227852, + 133221445, + 3559841, + 844327829, + 502321556, + 960255340, + 359349618, + 544595545, + 560778758, + 237177696, + 994712134, + 495930003, + 791210102, + 975091647, + 231953671, + 883540346, + 366773729, + 706251568, + 591739732, + 200637803, + 153067217, + 723491663, + 494064032, + 820802705, + 258359209, + 200358169, + 338687431, + 307469646, + 464877405, + 177910444, + 575749366, + 640580689, + 190991751, + 14683228, + 314100133, + 410455204, + 415553343, + 964613586, + 634237752, + 605057370, + 428739706, + 360552801, + 760556575, + 686102542, + 992861121, + 602074738, + 5709910, + 735003101, + 203403810, + 738494376, + 411796598, + 788271953, + 953628577, + 893073130, + 200801575, + 123543805, + 372835656, + 929385688, + 221971916, + 404220073, + 118082508, + 8969653, + 899950307, + 132608856, + 139354167, + 363469787, + 396066056, + 143654194, + 649231384, + 892145741, + 746529597, + 123452388, + 902121851, + 822471220, + 156284957, + 218599996, + 753911234, + 4395684, + 350863143, + 853626483, + 37531701, + 893316450, + 6980520, + 69772638, + 760636498, + 662302623, + 320620668, + 377782217, + 124567135, + 869257916, + 166856231, + 658229899, + 327132662, + 105110269, + 403647970, + 817527109, + 850175818, + 352705952, + 910509593, + 761567403, + 200960635, + 876112537, + 808609736, + 293706415, + 317955241, + 276588039, + 925570755, + 345777668, + 385005827, + 809353637, + 170178613, + 496768710, + 181985233, + 315318387, + 440208469, + 936308569, + 57583115, + 20618925, + 286209645, + 890862016, + 651966032, + 341042140, + 964664140, + 29616439, + 958918109, + 49485705, + 640544536, + 91699968, + 662805271, + 71048922, + 408185415, + 891584267, + 424421700, + 929399251, + 707902318, + 594316014, + 360480411, + 496363200, + 488455501, + 970541246, + 387018072, + 729502464, + 200183080, + 878948850, + 916680114, + 662996141, + 208307530, + 364748362, + 935812413, + 133160846, + 940563662, + 310855802, + 632492126, + 154716647, + 33596857, + 744202470, + 256999061, + 756872550, + 971246277, + 93976455, + 221329065, + 290989946, + 579204201, + 497279546, + 945477337, + 638652052, + 93619016, + 481315889, + 671437185, + 345593739, + 632810701, + 288317494, + 394016544, + 2684089, + 187665070, + 56229132, + 918267759, + 208544814, + 965508393, + 72475716, + 285800850, + 900058927, + 964734527, + 405866963, + 452204718, + 990015662, + 325669650, + 867781006, + 998926494, + 517865061, + 439758271, + 975695557, + 775306986, + 641909567, + 696757002, + 11378786, + 579776699, + 406190883, + 563015184, + 459421516, + 187157818, + 710135030, + 773739178, + 419278729, + 890374827, + 623327864, + 190341956, + 407258148, + 159527729, + 430923261, + 842629533, + 897506555, + 236258058, + 563992629, + 435967022, + 350512722, + 272051307, + 628193606, + 228504053, + 398608995, + 416866242, + 804525809, + 499084891, + 7908875, + 484248874, + 101759945, + 853848738, + 834253099, + 309142804, + 976047413, + 730724304, + 356373280, + 125999636, + 586586877, + 63220682, + 865422487, + 654824852, + 520026057, + 813143195, + 55971195, + 395310788, + 62513204, + 887830365, + 81640209, + 308275328, + 504641661, + 366937017, + 856349932, + 218356630, + 80571094, + 648800083, + 786893486, + 447259175, + 724360928, + 20443411, + 510430168, + 262237899, + 246786391, + 221418350, + 254478843, + 337249062, + 94706717, + 457085804, + 550661231, + 478762714, + 646173108, + 812818603, + 471547338, + 95145840, + 667381656, + 662568098, + 757106818, + 466167276, + 549403309, + 639847164, + 865332068, + 880902900, + 211667403, + 328460179, + 276865579, + 111515760, + 970431794, + 199415213, + 305524276, + 10796812, + 53962766, + 315568277, + 746510794, + 67093862, + 484016721, + 430784087, + 338900103, + 377096180, + 597096624, + 69128589, + 716902117, + 362214180, + 192933894, + 519667534, + 776377767, + 359033150, + 777054348, + 800962659, + 564315218, + 235767424, + 988895548, + 874198576, + 971175702, + 272577654, + 257171005, + 503145301, + 943417365, + 97341019, + 194850163, + 37697402, + 336156213, + 99905577, + 31586699, + 97873377, + 95425991, + 365334477, + 873112258, + 986914418, + 629984151, + 950857386, + 264107472, + 444392057, + 713862392, + 199445772, + 773386823, + 686471340, + 653485585, + 358709576, + 30329780, + 631204920, + 831415355, + 180830404, + 652169807, + 895778407, + 744735601, + 530951869, + 625253984, + 197941560, + 332041981, + 388597197, + 394380769, + 348151309, + 46126096, + 970088141, + 247767842, + 394953774, + 583319765, + 799398853, + 296042244, + 60817222, + 153988770, + 99882215, + 757020869, + 690923729, + 434444578, + 638614352, + 48968908, + 148503327, + 346453101, + 59545608, + 198217339, + 2111613, + 179134867, + 231415702, + 923236313, + 780225101, + 690367714, + 360675066, + 161451115, + 647611033, + 292714863, + 120984596, + 205840350, + 851816937, + 823694137, + 199304189, + 329828839, + 743636565, + 697885987, + 109257996, + 864899676, + 563718601, + 408318781, + 15702437, + 813814795, + 253925202, + 258730713, + 272658650, + 948800413, + 855983021, + 879202152, + 516215667, + 657615301, + 600292149, + 748230114, + 974846888, + 244370897, + 222245287, + 491619152, + 802565880, + 799899533, + 652678405, + 403880734, + 666626244, + 844271458, + 196779942, + 217535716, + 195928799, + 448183342, + 435143720, + 193784454, + 952215119, + 228281294, + 239634377, + 509417572, + 697232623, + 327642850, + 398711545, + 374612687, + 649791496, + 126968874, + 898760200, + 103174691, + 199428996, + 833225965, + 488762612, + 600991116, + 66984308, + 711872644, + 614342625, + 317891904, + 567857834, + 643634353, + 168358534, + 95423274, + 675599450, + 76203872, + 169470366, + 692617011, + 818729485, + 84863162, + 975497351, + 136876859, + 951817379, + 666347568, + 379341062, + 394269910, + 896046145, + 286649062, + 514749592, + 221200329, + 534413225, + 541475039, + 376383915, + 677267436, + 352685758, + 27114154, + 125255734, + 234012043, + 657053715, + 857726298, + 141430769, + 547429248, + 394230879, + 453095759, + 883148772, + 394464412, + 783143215, + 536369570, + 499010265, + 351384809, + 143851716, + 961922902, + 164564944, + 380225974, + 13927014, + 130863054, + 940236666, + 452460023, + 656426353, + 538726256, + 823944972, + 975334874, + 482120758, + 448529509, + 285654538, + 77368476, + 354113728, + 565344598, + 980218064, + 949305017, + 799248860, + 275977262, + 357038655, + 275594232, + 844870009, + 70316529, + 700544279, + 649656981, + 30566796, + 218945512, + 591642401, + 384779112, + 986340585, + 904317397, + 449199680, + 326764768, + 28295960, + 18687880, + 395588489, + 204603301, + 565837237, + 47044178, + 815977777, + 470538900, + 62865242, + 11285158, + 599010878, + 178176676, + 988500331, + 112138860, + 428100508, + 999263666, + 250135920, + 859132051, + 740924632, + 478357802, + 632275507, + 94100885, + 701802098, + 157125951, + 121865638, + 291677535, + 774005337, + 517016321, + 407086779, + 956872590, + 653170921, + 946551418, + 769247390, + 7601513, + 678737394, + 146095366, + 516041045, + 156981291, + 284869639, + 772072193, + 617988144, + 17977168, + 756386060, + 715855822, + 680448852, + 404424520, + 453690261, + 536075808, + 494121306, + 771593660, + 932670678, + 561731510, + 410414541, + 243111190, + 380345716, + 481316186, + 306280998, + 955613745, + 539597092, + 729236395, + 685118116, + 999900263, + 304049140, + 749364982, + 819775452, + 95637006, + 97588146, + 973155547, + 909821488, + 583805501, + 383554102, + 3476532, + 997429234, + 395656307, + 412444801, + 773379846, + 869023532, + 974126247, + 851489904, + 220784315, + 578502085, + 680252276, + 453433623, + 302648926, + 683791853, + 992061640, + 831902357, + 68478182, + 128638502, + 416682263, + 908872477, + 26317165, + 228583607, + 721094204, + 549518889, + 496153249, + 998337047, + 731508363, + 593096933, + 16826479, + 996455880, + 326040482, + 685807611, + 66124801, + 804459434, + 182462857, + 67557405, + 681034984, + 640393212, + 696684415, + 821359477, + 505046006, + 58775578, + 307770096, + 752499660, + 820497891, + 72564925, + 331580702, + 626682928, + 102943046, + 687914428, + 771976779, + 14381387, + 700526973, + 298382503, + 665739561, + 951371644, + 584147618, + 519514425, + 397287854, + 150504079, + 429017327, + 550833497, + 16257117, + 852781514, + 370152649, + 136780506, + 463550098, + 287339788, + 168504688, + 128284781, + 290363756, + 258433917, + 243086372, + 921499580, + 965114965, + 762952507, + 616287461, + 369850859, + 186683564, + 105096028, + 107987617, + 840252679, + 316672029, + 238846883, + 218205842, + 811785991, + 249157020, + 997859095, + 549163546, + 835591008, + 404995179, + 566513065, + 441760534, + 136630135, + 203332319, + 565543864, + 886636509, + 960738521, + 293742507, + 765785150, + 307411496, + 686990785, + 426668685, + 537450880, + 958364493, + 869356216, + 199613330, + 818278301, + 80912993, + 813099894, + 751400263, + 883043472, + 980328226, + 676141026, + 252680776, + 363464083, + 603978277, + 922352863, + 378444823, + 167754199, + 612550973, + 573125742, + 885630493, + 158916773, + 832998220, + 811370455, + 492715233, + 964276412, + 414167042, + 410262095, + 742764815, + 316656246, + 185277190, + 497965903, + 198747333, + 929057251, + 128595177, + 747216745, + 75185247, + 17991255, + 456757236, + 325938600, + 759115741, + 866490843, + 523493457, + 644121724, + 353402828, + 803599932, + 432016032, + 87650965, + 750177719, + 596344606, + 515348319, + 576037649, + 36575015, + 891076206, + 443090227, + 311555463, + 563097239, + 201201862, + 19915210, + 197126047, + 876132967, + 375722834, + 674518728, + 36833123, + 128343321, + 610073745, + 613475254, + 473159679, + 595363563, + 566974359, + 280563017, + 209320496, + 958684408, + 661509945, + 627710215, + 107850182, + 959637394, + 631934638, + 140135108, + 918716482, + 815223540, + 778524397, + 162265314, + 739211967, + 708381537, + 64978508, + 231130882, + 353187023, + 552712332, + 421768691, + 753927055, + 928393480, + 144051213, + 101436411, + 923874028, + 679387602, + 731106721, + 59036250, + 651701385, + 75956938, + 122331053, + 577210916, + 730294310, + 479869706, + 614499100, + 223697546, + 750990127, + 442605518, + 603406270, + 509093818, + 659443266, + 127912665, + 288370849, + 298776220, + 22917408, + 624557624, + 167355019, + 826817509, + 152585720, + 531743955, + 352120846, + 900930421, + 641222739, + 562936849, + 110456648, + 128892316, + 178619682, + 590549527, + 463955469, + 425339725, + 138545705, + 553990656, + 941450093, + 225341252, + 908703385, + 894680134, + 202479269, + 718378828, + 968657244, + 916962207, + 360808500, + 581004815, + 164290529, + 388924378, + 797835151, + 207489061, + 179067132, + 113049599, + 175929109, + 769452790, + 715049140, + 581362025, + 467537986, + 841338858, + 475102365, + 666987836, + 846685501, + 957633472, + 429837032, + 868914894, + 898954929, + 140329368, + 854770883, + 359328377, + 329197511, + 77190726, + 386540761, + 61747241, + 386414653, + 543056521, + 215071618, + 710372319, + 660823707, + 924048963, + 526217166, + 145668579, + 845269113, + 198643144, + 36313107, + 794661827, + 72002673, + 78784862, + 49406796, + 443067454, + 90545449, + 213390135, + 688036866, + 149023615, + 775892849, + 954196635, + 633220424, + 840164875, + 285791832, + 343947462, + 432975411, + 125535048, + 187766324, + 366827312, + 981829916, + 686088914, + 816691836, + 847877530, + 541565109, + 443255529, + 145854383, + 770376840, + 955040752, + 833200146, + 388880112, + 796592472, + 635361003, + 169086291, + 199230933, + 411517043, + 902813132, + 381925417, + 753631470, + 95065849, + 376552251, + 566234891, + 757207489, + 108282609, + 197220604, + 156944614, + 525144477, + 911499830, + 758282013, + 636369688, + 41793616, + 846177916, + 476676339, + 773860245, + 111370900, + 525186000, + 597412929, + 430069519, + 448210023, + 819714405, + 249920831, + 929468050, + 7883370, + 793097820, + 465914513, + 236725096, + 728709146, + 351144633, + 187348293, + 485269670, + 103065161, + 859441895, + 503670112, + 478588610, + 902441825, + 664088782, + 457493671, + 566173392, + 72771833, + 24950574, + 236677637, + 746403132, + 89514671, + 799814537, + 346026221, + 294357516, + 243378069, + 834909301, + 931105012, + 181589080, + 964914276, + 809461643, + 126398601, + 246257896, + 475948446, + 268042789, + 384578621, + 231750172, + 980459362, + 534667724, + 54995671, + 662642039, + 674408372, + 981677841, + 281974352, + 187477744, + 688072457, + 388904634, + 10615180, + 445577085, + 257093576, + 100146795, + 307698350, + 487241862, + 150814935, + 878486034, + 672361623, + 471363005, + 63196505, + 462636986, + 838603787, + 890509439, + 541243138, + 5418093, + 447277640, + 152056240, + 750074071, + 748798102, + 848676451, + 175220187, + 623565273, + 731562734, + 594011748, + 14613092, + 802667770, + 870902794, + 663011518, + 693075356, + 635019790, + 949915511, + 948166876, + 162383430, + 534165084, + 905657694, + 372920162, + 313752881, + 884460071, + 110891399, + 48183338, + 513145401, + 61344807, + 281610686, + 231024092, + 361121443, + 97502696, + 444101001, + 656696163, + 961336942, + 894102596, + 937606624, + 848909847, + 108262245, + 518683417, + 773278519, + 803338819, + 368560249, + 917151059, + 86913188, + 277009462, + 366394324, + 792664371, + 832225137, + 931927773, + 89959328, + 629643131, + 244339385, + 762104955, + 230438783, + 853802266, + 813612646, + 801346459, + 334773905, + 500291012, + 800020000, + 713689156, + 47516179, + 154680905, + 51796706, + 865612821, + 324322253, + 857175006, + 352201490, + 792172719, + 109942428, + 645786811, + 985718823, + 762296307, + 300829949, + 433821620, + 261873828, + 467878378, + 576831372, + 3741803, + 607988906, + 389142562, + 38006933, + 576854256, + 442012465, + 710555532, + 819021591, + 492765852, + 776975923, + 739131577, + 412128575, + 963773552, + 823234329, + 240820233, + 987093623, + 426974220, + 124908151, + 205666419, + 563124912, + 864146282, + 128770356, + 733853593, + 977286840, + 61770222, + 660254401, + 290807349, + 366733884, + 912848128, + 143448859, + 950462745, + 904578284, + 858275927, + 558105820, + 226139507, + 369737749, + 776330210, + 753858873, + 977524726, + 858320892, + 825085437, + 884821992, + 74881360, + 314623715, + 533698463, + 229249292, + 925118387, + 400298977, + 688097450, + 336982129, + 904128892, + 904543589, + 194717749, + 891410237, + 75647801, + 26176917, + 748224154, + 520158404, + 620223105, + 140669681, + 698896058, + 741666875, + 598802022, + 401794095, + 872434527, + 827666, + 123047174, + 346113366, + 886280828, + 97219402, + 694793891, + 177967118, + 258129911, + 159091689, + 712238728, + 918400855, + 514117056, + 694326131, + 570614232, + 167509519, + 94646414, + 402631068, + 123092153, + 487963842, + 45666383, + 617391014, + 655785946, + 21894444, + 798074558, + 793891328, + 872082901, + 987293260, + 806520426, + 910267068, + 387725368, + 91500798, + 84987168, + 133465092, + 106667126, + 98971270, + 83016183, + 565696517, + 495400084, + 473846713, + 707286794, + 901857477, + 296104704, + 115512704, + 125632882, + 947885136, + 318393543, + 717387350, + 188752311, + 16597375, + 999707709, + 991035931, + 205952423, + 809328496, + 227945042, + 950622104, + 228506651, + 915939097, + 154813956, + 723848140, + 398002546, + 810343884, + 567214624, + 966148508, + 44424230, + 41320551, + 396853125, + 405655315, + 539941311, + 713713608, + 550144480, + 313539162, + 530358945, + 634007306, + 310902549, + 513946029, + 996734270, + 18258783, + 695161736, + 229532516, + 500659459, + 808735771, + 218672801, + 986524218, + 358642710, + 962462017, + 635699077, + 159504878, + 996734648, + 542465076, + 963258008, + 638407540, + 664091282, + 373427303, + 881860103, + 975996688, + 885806540, + 722329594, + 324854828, + 255461627, + 422357885, + 882940023, + 309003263, + 585059504, + 492566623, + 861837440, + 21306595, + 803861330, + 71836216, + 455276657, + 31497591, + 856406370, + 811665913, + 269219192, + 629021615, + 986171277, + 21199970, + 158084493, + 205787422, + 359940157, + 855477157, + 469671847, + 144922723, + 765989004, + 174884902, + 668351476, + 986489329, + 938469469, + 586459529, + 550569470, + 246442132, + 725474290, + 160311824, + 730878590, + 94269599, + 445647542, + 886494621, + 923496734, + 703034493, + 843729283, + 609622772, + 815075813, + 671582917, + 241266722, + 361206893, + 37230979, + 741992429, + 498941236, + 875543224, + 341469609, + 797445646, + 820351805, + 18648391, + 523610190, + 942577664, + 272468680, + 213515734, + 293767787, + 569633839, + 183014214, + 947353868, + 148636272, + 338673779, + 347952784, + 992494763, + 514534244, + 631915974, + 508029088, + 956900411, + 347339628, + 751333800, + 218969697, + 4524734, + 188425992, + 264244673, + 626838124, + 362937276, + 437431772, + 708107779, + 465494802, + 547359416, + 330587972, + 48177900, + 530873603, + 755550985, + 367179621, + 62704524, + 656226839, + 368362571, + 154304899, + 511787239, + 527829580, + 411322490, + 42329848, + 537307188, + 595913015, + 615460255, + 985720108, + 309084845, + 573056073, + 105596506, + 343282402, + 529653803, + 320273626, + 279663090, + 848107195, + 239100461, + 938638683, + 731225176, + 678266555, + 428131676, + 105346141, + 143519612, + 670331253, + 74892075, + 286019741, + 951655653, + 456592110, + 335688181, + 949844091, + 8269580, + 110725314, + 97931729, + 788076237, + 608957166, + 694668387, + 190499033, + 609260102, + 691473652, + 351690438, + 687835638, + 901928667, + 974487478, + 416040660, + 5427384, + 645534912, + 98000664, + 952111488, + 593653677, + 153504530, + 998654572, + 832183438, + 714550604, + 350169353, + 887891959, + 531966002, + 960104929, + 619203691, + 369786335, + 341328640, + 208017715, + 416596122, + 880233714, + 155402055, + 752941938, + 149996609, + 736810490, + 762744924, + 310357908, + 833752017, + 319087892, + 188508175, + 899907862, + 496906921, + 805983152, + 31741161, + 505838153, + 861629764, + 503421391, + 511160822, + 584928733, + 874620009, + 312497073, + 915290533, + 257291992, + 185848566, + 347026771, + 661184333, + 265134961, + 584981491, + 485099171, + 528433337, + 94491781, + 250490934, + 298653820, + 857120154, + 907277466, + 341399480, + 129194815, + 293203131, + 431960142, + 966237773, + 301396890, + 856338688, + 116492543, + 12430031, + 22808747, + 310428991, + 202838390, + 666279295, + 751817037, + 448319007, + 501845705, + 489733300, + 551562710, + 185820249, + 914105738, + 39851981, + 379589722, + 56875165, + 981233063, + 314754824, + 508014413, + 745212386, + 657375062, + 419665, + 508783753, + 988323960, + 471414494, + 966849060, + 460693588, + 444040385, + 562092294, + 243531410, + 710041749, + 451268355, + 467058681, + 289853258, + 535277494, + 900470353, + 973501120, + 69098664, + 8127649, + 484916501, + 101088655, + 418568020, + 584713224, + 593273335, + 614459196, + 680618615, + 534553909, + 688781836, + 299951847, + 691390075, + 723263808, + 154167238, + 864512787, + 743354110, + 567750116, + 262345348, + 126661557, + 418351999, + 28529531, + 684260482, + 183420305, + 23856276, + 833303558, + 906335712, + 70731824, + 393820115, + 483820421, + 770334925, + 540329791, + 376966774, + 338582704, + 58773395, + 954479833, + 319299361, + 131772965, + 93015980, + 741941683, + 904592935, + 274601848, + 798842046, + 430763329, + 28441783, + 96211403, + 918834219, + 808692629, + 645897861, + 920654590, + 680000669, + 958987024, + 208899228, + 675266579, + 931789662, + 217781253, + 511629689, + 909438733, + 778010357, + 281543585, + 996126666, + 937979199, + 689912384, + 47225492, + 997687159, + 185946204, + 609847778, + 228493713, + 657728575, + 302849916, + 362859208, + 225895567, + 940383938, + 654732754, + 470498391, + 986998546, + 896576201, + 681727949, + 175595719, + 117436496, + 441285832, + 225245142, + 159994574, + 680070740, + 34495583, + 397666979, + 295569857, + 474820580, + 732945277, + 844343121, + 218338911, + 336813783, + 276339140, + 632344425, + 88288988, + 993871965, + 381200673, + 923625459, + 156349142, + 957999232, + 350991453, + 133307887, + 484122927, + 152498388, + 914608996, + 474952065, + 431699899, + 407539239, + 375152953, + 333557375, + 137764137, + 857072022, + 602727984, + 150099467, + 779189692, + 685675802, + 447007829, + 577659643, + 545478125, + 681770104, + 247543368, + 103482410, + 475101309, + 844694689, + 252664481, + 736396207, + 723180470, + 986912227, + 89091391, + 700870217, + 14805349, + 303812349, + 944914112, + 604766683, + 816221230, + 581408510, + 374436471, + 691054992, + 527059170, + 48758421, + 327390156, + 760447124, + 874371438, + 168991479, + 936056771, + 612435976, + 176964718, + 211348682, + 258628623, + 982809811, + 345026788, + 802414958, + 184223985, + 377660735, + 417996664, + 749264138, + 212889682, + 283907468, + 781482414, + 882893240, + 956084162, + 646397275, + 881385824, + 221670946, + 686290619, + 219332938, + 616126005, + 251975416, + 457306012, + 506102857, + 242885264, + 284214614, + 627769064, + 230693506, + 21319166, + 684930291, + 976953267, + 492797496, + 793551474, + 358127325, + 103791251, + 287222229, + 651488472, + 947349571, + 253053425, + 119161217, + 543917246, + 584297716, + 144498180, + 193430150, + 902826262, + 642330345, + 711448756, + 609612005, + 688074427, + 374390183, + 855110380, + 93535335, + 70612888, + 501142405, + 532151590, + 367703865, + 246165953, + 856179679, + 294109842, + 471455853, + 822550416, + 394906595, + 743543765, + 38106170, + 162675666, + 784039368, + 650670158, + 406001896, + 154578659, + 582684240, + 704624951, + 112883046, + 997288652, + 279812013, + 825891822, + 809747393, + 242971212, + 978281970, + 162283308, + 737714988, + 674497177, + 310472730, + 896676095, + 7014847, + 84288054, + 242712482, + 289575458, + 809263598, + 856858864, + 529960910, + 49800761, + 430849902, + 338619728, + 412162393, + 674279558, + 228829704, + 493598293, + 72408916, + 618719366, + 500864299, + 651135284, + 422713954, + 842431228, + 484659457, + 797099814, + 276056919, + 121083174, + 26261956, + 310824857, + 625839443, + 322904738, + 246308821, + 745061655, + 70333486, + 86747571, + 949597652, + 802571351, + 521347897, + 513292585, + 823793860, + 595588217, + 601404706, + 763544760, + 75517740, + 35171890, + 442417424, + 550190239, + 88139565, + 508089107, + 135246017, + 8669901, + 154816022, + 965208461, + 843930617, + 38240959, + 976655499, + 107604343, + 363576848, + 370450938, + 46296990, + 263039039, + 873866788, + 649841250, + 303172124, + 933283070, + 401538634, + 728577577, + 370581325, + 438223102, + 585688888, + 882584477, + 219307550, + 595553855, + 156729914, + 386563509, + 812112954, + 294769598, + 222055607, + 908649422, + 531667197, + 380928491, + 413871009, + 828003922, + 685588394, + 277949631, + 741088474, + 700026515, + 379288058, + 62753302, + 291661447, + 487637545, + 500450573, + 808861577, + 950787047, + 167466493, + 454939006, + 529040611, + 36437670, + 237877932, + 597303436, + 253171749, + 271506145, + 9462921, + 99214672, + 533281904, + 991514583, + 455006025, + 375286368, + 557187405, + 76740385, + 431599489, + 526337206, + 244060653, + 904162986, + 310593933, + 869812043, + 583712192, + 942814157, + 763344151, + 771083384, + 920495054, + 934546350, + 447530953, + 876483509, + 813661041, + 4322520, + 45295225, + 186298891, + 682021284, + 179949076, + 118305553, + 363009517, + 159856008, + 167351084, + 756518514, + 951064217, + 897559130, + 95406662, + 801960729, + 994421723, + 240705608, + 115273383, + 746856118, + 248240600, + 839038610, + 931846789, + 253231287, + 128720813, + 263250487, + 544343094, + 315256787, + 570496601, + 730063806, + 227803308, + 182068972, + 419708845, + 901868692, + 493705064, + 739836789, + 375243407, + 148658385, + 68639694, + 304712096, + 17281405, + 519374683, + 890805010, + 35849691, + 567544666, + 78821061, + 52994419, + 115766810, + 993050807, + 51351414, + 599945846, + 341297247, + 345535360, + 418544574, + 895369467, + 308666287, + 383319598, + 794627223, + 875970425, + 651247049, + 18595899, + 474247629, + 892656054, + 40761243, + 529697181, + 325772547, + 80325121, + 18409740, + 240171036, + 766037219, + 772740007, + 364868837, + 182965165, + 384302698, + 561388080, + 265511311, + 898161321, + 246291103, + 754354636, + 379973430, + 329613305, + 818589453, + 236720955, + 23553091, + 9932253, + 378252552, + 254912861, + 579450974, + 780684963, + 907539454, + 501097386, + 845921484, + 532139572, + 170628203, + 714796676, + 705109182, + 281893189, + 548687121, + 461660068, + 65737470, + 377239209, + 980536221, + 618531872, + 695127763, + 691766223, + 884060013, + 255549143, + 406203411, + 249753022, + 40920662, + 855103417, + 18953347, + 200818061, + 847457867, + 958835881, + 754560685, + 936657253, + 616015628, + 526060227, + 915387399, + 239983539, + 318330396, + 373679982, + 9444841, + 460737962, + 779512252, + 485142341, + 255348988, + 732680329, + 30973579, + 551367238, + 533322903, + 110482007, + 350598013, + 626922855, + 484885412, + 412361243, + 367080323, + 314044747, + 952309294, + 467865531, + 514165196, + 772207120, + 955467035, + 276276402, + 872408959, + 721317036, + 804319148, + 454722900, + 674706632, + 668470409, + 526353728, + 827215660, + 954324353, + 703228518, + 221117986, + 461162999, + 926663717, + 706946012, + 464108493, + 578531316, + 428472899, + 242422497, + 315155060, + 928812189, + 640640276, + 47645752, + 978579306, + 419832680, + 99929831, + 824138784, + 690279631, + 234513328, + 249380918, + 519360121, + 657310192, + 532907584, + 536914837, + 778734322, + 760762060, + 481241166, + 811321578, + 185611578, + 554963751, + 513017647, + 786776222, + 333400141, + 767642860, + 934303279, + 570232287, + 408538582, + 145216419, + 486247977, + 330840061, + 569989828, + 424057, + 692401837, + 159877397, + 562959494, + 270120103, + 587437844, + 440659102, + 205863936, + 118740550, + 710761476, + 957217951, + 531377337, + 681242760, + 985913128, + 888584122, + 931988877, + 566039769, + 807380073, + 64366178, + 83248670, + 156862502, + 493045996, + 298161406, + 806340857, + 46848173, + 861646606, + 178129798, + 741790981, + 114395896, + 754880599, + 842698824, + 409820963, + 87907167, + 610057743, + 135801220, + 333665406, + 33473000, + 631451773, + 752932483, + 790736056, + 757349968, + 652166184, + 146817114, + 158321695, + 598066579, + 196701356, + 982264735, + 599202081, + 909898156, + 813594639, + 775235249, + 34841629, + 424259706, + 960353604, + 760953256, + 242449360, + 741085064, + 158680777, + 842737124, + 403283210, + 126505414, + 122506227, + 76093783, + 559832666, + 865171127, + 72605369, + 786799391, + 162364900, + 199360419, + 659513050, + 342036383, + 173925043, + 36196354, + 651461436, + 701522084, + 852487301, + 297603991, + 183477447, + 938205146, + 72168195, + 177416866, + 551844881, + 139171404, + 669801849, + 655742386, + 201229147, + 406276652, + 791976016, + 520428621, + 160607335, + 163773414, + 362314275, + 208623764, + 715113825, + 874858116, + 145702456, + 862941546, + 517438344, + 926624109, + 281439624, + 434708480, + 85739815, + 983307157, + 896190340, + 45538313, + 1112283, + 950417477, + 399621420, + 43017426, + 318124950, + 473264489, + 294139005, + 71955413, + 721961085, + 807882748, + 804101990, + 778615669, + 737868279, + 962721449, + 915666144, + 637163029, + 348939732, + 626537220, + 185217384, + 526371273, + 243982703, + 428722948, + 621680292, + 157006153, + 388187046, + 748100406, + 289201400, + 445979358, + 849864270, + 542913999, + 719550391, + 274936038, + 987972446, + 120241828, + 360547065, + 677699961, + 284434244, + 154679809, + 278159965, + 910877490, + 483419828, + 423110961, + 963586421, + 470228642, + 321591509, + 208365460, + 441155137, + 917845819, + 862802388, + 536636759, + 7551770, + 33951591, + 308995971, + 583693854, + 446791978, + 251257935, + 202245619, + 887805673, + 975942625, + 435554413, + 719521468, + 242628865, + 778151157, + 122435315, + 442096814, + 251712495, + 9530670, + 80415506, + 353140795, + 257723090, + 593831007, + 704597499, + 56261553, + 940260192, + 927729137, + 16366877, + 461846148, + 317039188, + 244313787, + 667996239, + 562378934, + 231415353, + 818822583, + 583153471, + 149684859, + 810348054, + 824825037, + 44359382, + 491355565, + 470575784, + 227565090, + 229355790, + 961912974, + 983862211, + 738749786, + 38627710, + 404353964, + 352192861, + 409204281, + 844056339, + 897316985, + 268188697, + 269423565, + 193463230, + 323422523, + 296754900, + 357941336, + 675414827, + 128426050, + 226698094, + 299356455, + 669140252, + 274377839, + 74070800, + 458498010, + 153108571, + 432900129, + 730400920, + 159087248, + 238215822, + 234803160, + 35033238, + 905989403, + 974459499, + 621098963, + 926127705, + 214507535, + 771929957, + 948186250, + 283336522, + 252122627, + 320234647, + 71608032, + 133946123, + 443917029, + 33769953, + 968093437, + 215210889, + 159255697, + 814967151, + 184130555, + 220011713, + 536171265, + 328411621, + 616356417, + 56667039, + 583897930, + 717435641, + 95740772, + 808460829, + 88171114, + 685347574, + 514506689, + 988092848, + 479986810, + 40536411, + 849668630, + 939343183, + 895169473, + 532158639, + 355038138, + 466417320, + 106557820, + 942660427, + 458454605, + 209798628, + 726455887, + 355860083, + 121802461, + 60192827, + 703491165, + 655844672, + 188194921, + 305620615, + 646465031, + 740582378, + 914455503, + 24824306, + 52469972, + 142000487, + 305845048, + 534649247, + 829911126, + 101051375, + 921899676, + 410876562, + 818114745, + 735180172, + 876696325, + 187728751, + 104805607, + 843756101, + 164481807, + 929522104, + 914883040, + 517628466, + 414437627, + 374101556, + 205065143, + 822114862, + 73106046, + 789590032, + 930071565, + 948515562, + 764742223, + 445590247, + 881254618, + 405741805, + 673496269, + 912001339, + 934004146, + 767933137, + 327828000, + 434731625, + 823479643, + 688660420, + 738084020, + 774633477, + 164325947, + 246433467, + 333603668, + 936232837, + 876267833, + 798595808, + 936968425, + 902061235, + 954873129, + 597732305, + 806409226, + 94671672, + 837211208, + 728209283, + 955334309, + 920178977, + 744558705, + 534014270, + 998130972, + 435147928, + 193930914, + 322153093, + 740942865, + 705922779, + 381777014, + 950670937, + 744583549, + 251579496, + 549364646, + 317598139, + 71417875, + 856287515, + 643939251, + 280563986, + 151384423, + 823878938, + 178042031, + 614105112, + 185815204, + 30889561, + 214602558, + 703479549, + 827119949, + 462598351, + 264362965, + 18710098, + 311756894, + 887293002, + 850997785, + 956368221, + 624194679, + 115383106, + 987794536, + 956596708, + 81360378, + 584582246, + 403541567, + 534419263, + 558113207, + 126549395, + 859073546, + 576185303, + 648116925, + 562317695, + 975981229, + 901737647, + 235125303, + 779675974, + 785625036, + 135729012, + 529464219, + 186307351, + 342264233, + 847775556, + 775832855, + 83637432, + 459198402, + 603625459, + 258971535, + 630761552, + 970187734, + 527321746, + 365494020, + 733918007, + 308258117, + 734009071, + 778429431, + 12014057, + 186514062, + 725583125, + 394943884, + 217867877, + 474452676, + 263469773, + 250529960, + 292674429, + 289687249, + 679738115, + 150613461, + 368625358, + 33003442, + 735574277, + 492849305, + 454162183, + 48136844, + 4371965, + 544373150, + 716003200, + 592434294, + 63183668, + 782378661, + 725414139, + 567652120, + 232115047, + 740148084, + 403487557, + 619676888, + 730615864, + 939285587, + 197530959, + 587042003, + 838262736, + 151800086, + 14289903, + 642463302, + 463530836, + 950221869, + 145570441, + 996360113, + 328677931, + 172397903, + 928826428, + 91587137, + 297979301, + 277607278, + 753521859, + 342383631, + 938626557, + 588628886, + 101916003, + 298733952, + 68282356, + 884058173, + 485817497, + 367986843, + 739959333, + 277126169, + 888787363, + 174333752, + 34925415, + 974236736, + 76794443, + 918920470, + 709897863, + 304182886, + 68483033, + 630101073, + 809812377, + 940734685, + 860414016, + 77694641, + 378625376, + 355881721, + 265605966, + 64749486, + 337004580, + 524362235, + 625564337, + 164346675, + 515106828, + 803993118, + 197934412, + 54995419, + 683022256, + 206880437, + 835041626, + 454029682, + 506949697, + 598457262, + 976086854, + 921621835, + 96179571, + 813874872, + 577365678, + 431277249, + 685715191, + 744997087, + 350098437, + 172845013, + 47544411, + 317611190, + 5974481, + 552147395, + 11037920, + 132029516, + 466933954, + 530725215, + 488935504, + 261884161, + 704168525, + 60335007, + 617654229, + 732349363, + 568456682, + 432175192, + 995705108, + 564072966, + 212025999, + 604679939, + 384760633, + 997688772, + 148434460, + 293091947, + 593524792, + 143536251, + 239241407, + 152661494, + 614020038, + 856863374, + 829881544, + 736535867, + 783899201, + 955855237, + 702207271, + 655825049, + 520753353, + 926574090, + 280176440, + 531859350, + 286086230, + 654475584, + 108925227, + 792545370, + 637727042, + 317626178, + 156502094, + 714038015, + 65342031, + 66841191, + 273500717, + 576685875, + 720596377, + 477820895, + 829323791, + 603374008, + 280208250, + 465470224, + 148589809, + 108101495, + 458151974, + 519594273, + 395878909, + 118099045, + 403587185, + 204743178, + 486927114, + 763652130, + 885711955, + 519770509, + 560208862, + 351411642, + 197465968, + 157133609, + 774875748, + 933544766, + 560407189, + 801458710, + 567058611, + 675270159, + 383847808, + 956854241, + 259521614, + 406870158, + 240032454, + 901915509, + 186855231, + 742415207, + 242274657, + 959096046, + 163319765, + 358314433, + 666326910, + 513017411, + 902996236, + 118670838, + 868541127, + 718845814, + 746672526, + 403102022, + 953462348, + 839495960, + 484887845, + 306432870, + 33458487, + 946875292, + 767426018, + 651187853, + 343150103, + 592775930, + 668539598, + 262499423, + 675594229, + 821618088, + 718521791, + 643885619, + 979494966, + 384834948, + 37280488, + 517518897, + 678364595, + 696510042, + 567204766, + 414636007, + 95971199, + 640314474, + 163909760, + 75157691, + 819647921, + 898139358, + 166219609, + 622435208, + 745280484, + 317724165, + 940799410, + 347193677, + 970358612, + 769580086, + 236303693, + 224150731, + 655036487, + 44546009, + 906787027, + 451671130, + 59892617, + 48158270, + 641682973, + 241697565, + 230772827, + 809411568, + 344115059, + 954647591, + 712101651, + 551684118, + 484885139, + 764602580, + 273009365, + 333154511, + 895316888, + 180479542, + 907642959, + 399382357, + 14264731, + 522972253, + 323163690, + 92836881, + 112272943, + 657092203, + 37078900, + 979732006, + 772893034, + 435270512, + 305727027, + 669889646, + 244180559, + 339480992, + 458488757, + 706890040, + 378271219, + 802857428, + 373504048, + 131667616, + 248811784, + 776539383, + 155707458, + 369297467, + 102353910, + 12623269, + 93128455, + 89277859, + 719668570, + 913208813, + 715763139, + 426726923, + 93486747, + 48746567, + 420487773, + 765083915, + 224119101, + 283081311, + 429332490, + 809151562, + 281898991, + 880144185, + 924612960, + 952121065, + 74726899, + 829716652, + 778789659, + 793964093, + 171254422, + 774102855, + 577393938, + 682956436, + 799027767, + 603598892, + 177573240, + 758988736, + 521325569, + 54389, + 849558279, + 197449240, + 420979185, + 165887442, + 849243037, + 237527000, + 859656082, + 910089065, + 863794942, + 896759802, + 760187456, + 654011007, + 993779456, + 598059163, + 26507790, + 644795228, + 667628621, + 311549812, + 816461782, + 352403635, + 710193047, + 497685921, + 574177560, + 597396727, + 105352830, + 416185177, + 795305062, + 532046064, + 16386591, + 308970338, + 661315607, + 869855683, + 22679204, + 783243325, + 665726836, + 531705740, + 736616353, + 703975601, + 317780795, + 577479503, + 784640010, + 820417412, + 996619129, + 882199668, + 251582170, + 562087017, + 453168166, + 721519090, + 723145880, + 108237235, + 304425717, + 191395458, + 640004573, + 279147704, + 466600315, + 521032995, + 398900302, + 713554274, + 455031274, + 776855083, + 678663518, + 290694425, + 114628984, + 849134681, + 336675328, + 223460308, + 49041376, + 197460514, + 878894743, + 332404458, + 339203584, + 525211902, + 763597666, + 875054302, + 959423203, + 65934989, + 523206660, + 141845340, + 867678832, + 498673377, + 725942255, + 836515788, + 115916062, + 382131722, + 644446532, + 632876276, + 203766625, + 962935389, + 962220236, + 966688176, + 593527404, + 390819871, + 108088800, + 496743056, + 750822144, + 221279839, + 894481869, + 35249478, + 494028126, + 553646521, + 725808068, + 920354045, + 260775837, + 40238087, + 762364230, + 823626928, + 695093754, + 257111848, + 754302072, + 903092103, + 278847282, + 261492149, + 706305034, + 64384447, + 415599890, + 489964780, + 385578820, + 502077636, + 544454439, + 188489711, + 658064644, + 925508908, + 706734840, + 702066896, + 887652087, + 759567181, + 817073872, + 333890654, + 480372521, + 560184335, + 241038563, + 505828954, + 665410274, + 65529703, + 161240881, + 266653379, + 372967977, + 875431530, + 595388306, + 377651150, + 447866565, + 739281355, + 633080886, + 342804302, + 986351030, + 942688445, + 127442542, + 400166688, + 585304084, + 680599574, + 486762938, + 391667817, + 321583307, + 483352859, + 571439884, + 584241766, + 649268287, + 429395153, + 51794678, + 542265211, + 945413832, + 904902134, + 281462172, + 484890554, + 38395377, + 364748628, + 561334742, + 408200372, + 889195374, + 709098769, + 294450139, + 358975487, + 275056697, + 971891006, + 353310462, + 124671601, + 112814546, + 456140527, + 104303308, + 425739669, + 147135047, + 477139169, + 593925044, + 242194032, + 983539952, + 486946373, + 356899443, + 769752231, + 976414479, + 910771061, + 632830691, + 473491463, + 269780976, + 976289778, + 200893426, + 683282992, + 672589064, + 223950925, + 11640087, + 492382120, + 148314825, + 607531069, + 350657654, + 153432165, + 267094113, + 562344199, + 885440473, + 276166685, + 126421445, + 261580745, + 666655002, + 591541935, + 684107303, + 643257950, + 945082773, + 933104692, + 933371791, + 720614531, + 882262297, + 206407461, + 104484630, + 979786002, + 919310367, + 511896064, + 11748098, + 81936213, + 605635070, + 747186390, + 364945334, + 469524071, + 864482894, + 315495222, + 176562020, + 930093507, + 161325039, + 206217924, + 377675417, + 470109905, + 818798706, + 104336754, + 638882454, + 656493156, + 667900349, + 25687976, + 201224361, + 79418487, + 836143931, + 508498048, + 146246699, + 584391717, + 460967377, + 124469255, + 427630465, + 816269711, + 186593358, + 246566863, + 559486303, + 76786236, + 166829702, + 946884055, + 696079233, + 34696455, + 52132422, + 70039888, + 773753381, + 49172643, + 604762053, + 253220718, + 397475039, + 827744120, + 455108587, + 855366273, + 605804893, + 916330276, + 142935781, + 952232776, + 560329555, + 150035019, + 293113109, + 886287915, + 449949540, + 925839963, + 574000328, + 632815240, + 306829756, + 489688347, + 452002413, + 743736095, + 627621371, + 195036209, + 217037922, + 499005168, + 139305178, + 357104653, + 183192303, + 371641002, + 628039937, + 295047460, + 571351545, + 990523662, + 919858907, + 964294919, + 206288094, + 66730432, + 122647978, + 500170464, + 624977153, + 282736544, + 664983934, + 286502504, + 590334478, + 278516021, + 888109985, + 96098053, + 304400121, + 136102395, + 610488707, + 453688400, + 251444462, + 566704393, + 908359008, + 506946819, + 2257787, + 700900168, + 711989335, + 719425519, + 7931397, + 459513159, + 638369910, + 241114997, + 262075203, + 885677533, + 950965070, + 329746411, + 385962925, + 954944053, + 151182322, + 384229648, + 152818565, + 57180014, + 319773718, + 954271419, + 591295161, + 564157843, + 594541013, + 554206642, + 259994354, + 911430988, + 493183618, + 782573227, + 945209374, + 477351983, + 704177193, + 250665392, + 10559713, + 306067112, + 396035650, + 701249776, + 464281307, + 149125797, + 383507771, + 863010023, + 573291608, + 786823945, + 507371182, + 622780976, + 596507826, + 950845201, + 227578766, + 219624222, + 623862138, + 742875465, + 715080795, + 325694419, + 586663229, + 873275077, + 384253511, + 51157628, + 996224726, + 156218192, + 229264136, + 927319871, + 657320965, + 947939591, + 490983977, + 75750410, + 304226475, + 447947763, + 922115514, + 205533897, + 598818174, + 387486209, + 371532163, + 10124250, + 390433225, + 387338278, + 720179459, + 15836137, + 130445295, + 730876362, + 65982530, + 84435624, + 54590680, + 193018195, + 460313454, + 106319035, + 625228784, + 964584018, + 541630423, + 613455411, + 141847256, + 218261746, + 661431768, + 660772375, + 862777623, + 399315836, + 189780167, + 548942527, + 226970113, + 171399455, + 966947634, + 91324846, + 122473943, + 781250239, + 989269353, + 218815265, + 96070738, + 936728380, + 314779960, + 223138827, + 307584021, + 637614595, + 981865017, + 331794996, + 678018954, + 295641257, + 670632465, + 738610102, + 174574169, + 689102608, + 838296460, + 813592969, + 118159801, + 872793884, + 282987461, + 319291009, + 21502469, + 575329341, + 656790991, + 560046448, + 865771890, + 389123451, + 422414767, + 908643669, + 23465659, + 732729752, + 578628561, + 187328349, + 93293274, + 20053715, + 574948704, + 516088591, + 793043384, + 174481858, + 18138981, + 411228430, + 524286646, + 126504775, + 583971725, + 905342870, + 377521892, + 731749259, + 679715554, + 563491876, + 239516606, + 286725474, + 615856637, + 535912757, + 714708979, + 247655396, + 212612476, + 567867789, + 985710546, + 112606043, + 836339500, + 997514108, + 266323259, + 74230628, + 446751451, + 388982212, + 346822128, + 770660671, + 982483230, + 139853014, + 632674196, + 60650318, + 367871422, + 879497744, + 379374174, + 382546892, + 594819486, + 435228617, + 51537503, + 439396286, + 57256020, + 89008227, + 843515744, + 318363193, + 474492435, + 131896424, + 912131855, + 747749147, + 945906737, + 118656015, + 989575573, + 997179946, + 180468931, + 955970975, + 903056864, + 722842822, + 498700250, + 214365046, + 834690300, + 971494045, + 496538688, + 364733654, + 530372604, + 776485011, + 134644576, + 533615789, + 114758393, + 999528264, + 155735946, + 213956323, + 474869444, + 379296547, + 65529981, + 830178955, + 59923825, + 91997235, + 265115601, + 881758341, + 69423903, + 229762867, + 757860486, + 600216247, + 213650636, + 400131606, + 512941130, + 805837567, + 81718552, + 880623625, + 274694697, + 282920001, + 655538855, + 71265667, + 845777843, + 892854262, + 624819346, + 477302298, + 230694951, + 969350493, + 827270904, + 276205153, + 802411083, + 991085412, + 456646734, + 324982879, + 456189714, + 317206809, + 466288847, + 400268751, + 212253577, + 343050869, + 400932195, + 705398329, + 976319441, + 791264660, + 168262714, + 192946904, + 109616695, + 632719563, + 200706110, + 99138534, + 406998799, + 171441699, + 765191009, + 486225529, + 407462874, + 217980801, + 711128178, + 503245453, + 469165098, + 144272784, + 996487543, + 729822420, + 667486770, + 148512858, + 789622617, + 455835192, + 657137393, + 734991280, + 185701017, + 705941069, + 187830970, + 180360398, + 598354745, + 451064261, + 700783119, + 361092623, + 972895709, + 997965812, + 341682934, + 367973170, + 905859374, + 243297516, + 68690510, + 944472193, + 822783796, + 53010150, + 835431925, + 486253801, + 258733706, + 713775306, + 777991129, + 238075331, + 524759581, + 302340492, + 249336486, + 893120949, + 403329136, + 546164352, + 732347992, + 647596174, + 592691310, + 682648666, + 342978898, + 389156178, + 607327435, + 964077807, + 926942930, + 299637281, + 817641302, + 451076456, + 895881308, + 552120364, + 28886126, + 978340406, + 359030012, + 981661011, + 989898029, + 972726182, + 669074279, + 154717489, + 247358209, + 1567095, + 251198378, + 670223341, + 574941481, + 587502321, + 886343299, + 91921573, + 481174315, + 470266789, + 663662311, + 968070692, + 827371440, + 696292628, + 568309077, + 75518081, + 642404272, + 436796959, + 295805696, + 92972978, + 56714605, + 660230133, + 179324666, + 996220499, + 326722997, + 350211631, + 534500170, + 110616770, + 912320728, + 160411527, + 607991298, + 24008878, + 526905479, + 778446400, + 257996331, + 408182380, + 774175664, + 129523174, + 376770415, + 340672401, + 712849537, + 725536276, + 121066388, + 423463461, + 200964968, + 260361605, + 142261876, + 377293696, + 890954226, + 339059984, + 677080094, + 726193229, + 562734158, + 736296318, + 217662854, + 852106637, + 294273590, + 629621607, + 336352812, + 836221174, + 49353368, + 928330660, + 307674657, + 342224512, + 210979586, + 639758196, + 660725273, + 363905666, + 343532459, + 532315034, + 51468143, + 947329737, + 759470262, + 122220562, + 684312995, + 425586645, + 818749186, + 318425101, + 151887771, + 82597482, + 481367594, + 180100183, + 984139992, + 476048124, + 465774624, + 311756521, + 558460356, + 571615523, + 958471807, + 920825316, + 316367361, + 870491944, + 404793783, + 134382417, + 511229688, + 558259997, + 104014142, + 290706140, + 683649089, + 68881791, + 506410612, + 475965870, + 821249181, + 490171788, + 157720730, + 188382793, + 232289062, + 941557039, + 346983142, + 188022483, + 387241926, + 305204029, + 720996758, + 792412612, + 983709300, + 213242014, + 94889974, + 163994387, + 945325905, + 642133418, + 540175008, + 303387835, + 559224204, + 268953632, + 509234275, + 270120043, + 221635381, + 438847358, + 678932527, + 838126012, + 243506258, + 43794464, + 776269579, + 266166422, + 693811795, + 378978879, + 172645472, + 169408809, + 762929332, + 771094798, + 770866182, + 986875297, + 48933129, + 855145245, + 192563917, + 852071237, + 449620950, + 550674318, + 29758676, + 986586796, + 247717821, + 5004583, + 18086875, + 835016681, + 758011422, + 513892748, + 813296557, + 671217022, + 509817786, + 382662034, + 494828704, + 721623705, + 557036560, + 715238622, + 804173106, + 532884614, + 433303867, + 37247159, + 260098694, + 720822637, + 4392390, + 405191129, + 888177745, + 381609400, + 890698274, + 152653467, + 354137624, + 850007133, + 315993039, + 754312586, + 123516728, + 415902041, + 317092309, + 123751014, + 931638019, + 973027623, + 35425412, + 421975578, + 339647515, + 333060999, + 921437701, + 454370103, + 514224288, + 620277896, + 614708320, + 264099489, + 74559083, + 58403566, + 278336398, + 805984663, + 878337100, + 222064315, + 898014792, + 71873259, + 486926150, + 394120279, + 646943052, + 822638107, + 608911308, + 321259759, + 585105111, + 108912146, + 863250184, + 34423217, + 663775007, + 880247622, + 576577422, + 71725923, + 654879997, + 444425178, + 916336627, + 523429723, + 807323311, + 317693028, + 438821251, + 236113337, + 595507065, + 538543853, + 951227371, + 909323957, + 732788597, + 249394477, + 665420894, + 555338614, + 811380444, + 668757089, + 739278856, + 274659300, + 928878152, + 844793511, + 924048993, + 591031272, + 601890462, + 336450193, + 172469526, + 809872767, + 414479515, + 116984280, + 536484107, + 412777791, + 63443203, + 143720746, + 657918773, + 434733980, + 173582554, + 833727106, + 170311413, + 423568308, + 353902282, + 368627321, + 887295564, + 168747502, + 27597089, + 949621007, + 114308930, + 364341486, + 267931581, + 238332638, + 301369045, + 210848559, + 7204561, + 426336978, + 900702606, + 463895372, + 874456767, + 1808154, + 92128493, + 153907722, + 414643146, + 993886985, + 336218089, + 622622149, + 574944274, + 476831135, + 225553314, + 636064631, + 901478671, + 932441965, + 148513322, + 276693944, + 695842581, + 331181188, + 82804097, + 846359493, + 359842833, + 964803664, + 302289167, + 463125434, + 695428621, + 475675462, + 856901458, + 268107925, + 533634498, + 496919658, + 68756071, + 607987817, + 404532247, + 428803354, + 340891206, + 597541204, + 973460477, + 435707904, + 606207778, + 62354152, + 700574856, + 994984486, + 91119732, + 337579548, + 853811862, + 194664538, + 800822703, + 837873409, + 418191555, + 308524054, + 805641382, + 649971975, + 56058547, + 994712455, + 459967619, + 408162655, + 292282372, + 524406554, + 194093632, + 138796626, + 698005554, + 54701274, + 225626011, + 805665144, + 643020417, + 996616831, + 711271331, + 833694280, + 532682775, + 820254764, + 764309148, + 734160205, + 76739998, + 144180889, + 17061684, + 552608786, + 973876721, + 691855726, + 285838342, + 210278856, + 881594848, + 808420601, + 390147594, + 318434390, + 549425437, + 786521963, + 387332901, + 617804340, + 90556746, + 16934989, + 328635464, + 288087360, + 395497637, + 115291885, + 79644554, + 177180205, + 824063133, + 776348546, + 142966529, + 57266687, + 565862316, + 98388696, + 877453169, + 316748887, + 853832365, + 562253547, + 787985848, + 988333849, + 38611611, + 719457005, + 313440781, + 246830379, + 90410612, + 867751382, + 471449881, + 197129739, + 750390218, + 573880508, + 141955116, + 468044047, + 408756299, + 939862562, + 71042185, + 982229035, + 195632441, + 647978488, + 367100677, + 565759614, + 12149647, + 972360395, + 489315973, + 460562189, + 205338945, + 236080501, + 991768978, + 388835129, + 533452914, + 175421574, + 322620195, + 670192688, + 887466050, + 675881634, + 964272413, + 139769490, + 877619271, + 918030149, + 775752121, + 727606156, + 680489212, + 334526212, + 773386569, + 163194271, + 198453696, + 831207914, + 238036346, + 458986615, + 530758581, + 40051236, + 83802839, + 759692055, + 605274772, + 779922898, + 14816567, + 239526214, + 939153265, + 123386377, + 405302514, + 48450935, + 844585211, + 496707034, + 982354970, + 645656689, + 727163077, + 957368776, + 184273411, + 855663945, + 73759488, + 972262008, + 56399106, + 666744847, + 551528024, + 773203407, + 645536635, + 976305586, + 787466797, + 198329086, + 366458506, + 912369721, + 648748175, + 810162237, + 20770936, + 857362559, + 563333405, + 635838840, + 731464859, + 127798218, + 988776058, + 278764253, + 164853061, + 794792429, + 934410560, + 858112786, + 106344815, + 12944883, + 96970870, + 844053229, + 540290924, + 654049225, + 782655379, + 68491279, + 387132817, + 678604063, + 611069337, + 419226644, + 989075591, + 900735416, + 998007687, + 213847245, + 402137097, + 482779016, + 366724404, + 422207436, + 97362978, + 805150462, + 418630771, + 422002970, + 242366780, + 213393403, + 632461599, + 811679276, + 485947882, + 163030813, + 708161842, + 404702953, + 137359656, + 538905387, + 505013529, + 556529353, + 564792178, + 163191280, + 637630282, + 104817617, + 340622339, + 807825892, + 454025716, + 572386899, + 55533747, + 15135584, + 233438761, + 702365210, + 585062790, + 408183380, + 429712654, + 501034318, + 714456212, + 37818011, + 668438498, + 729839940, + 458483728, + 676450485, + 370197555, + 779711623, + 873381189, + 249647304, + 882525905, + 87404187, + 363591103, + 547492629, + 869718678, + 230480690, + 84370016, + 889494105, + 588548273, + 335867460, + 950675514, + 186509953, + 782419800, + 830070978, + 645422701, + 381870221, + 486413809, + 241520057, + 196715836, + 946472728, + 132343659, + 808283780, + 461310013, + 58423391, + 672398716, + 228677875, + 874841154, + 222926594, + 204812213, + 470191151, + 822482699, + 466938122, + 386662605, + 719403737, + 10019658, + 811593303, + 319290272, + 175884145, + 342302352, + 497154088, + 746825338, + 545416993, + 313202223, + 495119654, + 109031387, + 715115255, + 771770331, + 700564287, + 374454631, + 216957814, + 883318291, + 137409098, + 302176011, + 262200195, + 700602625, + 177619610, + 434798980, + 829807714, + 651703459, + 680415371, + 945931808, + 444679827, + 245568533, + 737310817, + 96798350, + 198423492, + 297448676, + 785013481, + 423594203, + 460398744, + 169220257, + 232670425, + 212057835, + 640331314, + 71155197, + 829977434, + 146082212, + 663540970, + 41530322, + 965092379, + 871364842, + 954677707, + 86025994, + 184454184, + 483913926, + 61217277, + 120802877, + 323790721, + 746861262, + 538386074, + 802896098, + 50477979, + 859908790, + 452493309, + 432006792, + 183813844, + 717833918, + 937032458, + 492071352, + 638524265, + 162567983, + 518015488, + 992163021, + 476110775, + 182320197, + 198041722, + 467858964, + 307665964, + 224214954, + 479314979, + 714378843, + 189926771, + 356355999, + 939210931, + 436985088, + 988689696, + 798467438, + 140424887, + 723285233, + 57430619, + 443918776, + 413259592, + 850802215, + 401109379, + 401966101, + 210746460, + 744051858, + 468908025, + 909130898, + 269361972, + 524330934, + 239392636, + 222601765, + 594274990, + 978154143, + 463937512, + 902748928, + 568345797, + 986269911, + 759551437, + 862872179, + 921014787, + 391001153, + 244295444, + 60054154, + 57536832, + 761477879, + 999950259, + 861366959, + 975177410, + 530573948, + 903617857, + 166680933, + 82458450, + 415247299, + 566883257, + 165801, + 584193133, + 610343579, + 322956872, + 183953895, + 866578174, + 966239445, + 294854283, + 431928608, + 130814367, + 581324267, + 630346170, + 157311480, + 674185636, + 536948984, + 233675564, + 850191416, + 887907459, + 598702181, + 333865741, + 145950979, + 327227660, + 154980713, + 750401422, + 285814142, + 281660377, + 240736940, + 516058103, + 368535165, + 287268639, + 207662910, + 957106969, + 363864838, + 32743033, + 422766766, + 907095953, + 722295275, + 317800741, + 415315369, + 951050076, + 446422553, + 316338188, + 530843702, + 937367661, + 306940406, + 13605024, + 859731505, + 79517406, + 160262395, + 38966296, + 248378390, + 977379237, + 661750454, + 62270266, + 826663391, + 746922682, + 715720637, + 428163407, + 676925386, + 349496208, + 514822916, + 871328685, + 579445949, + 351352009, + 62870808, + 935849362, + 577271074, + 726479865, + 875948936, + 429930801, + 900077986, + 687584396, + 237184088, + 899405602, + 553126069, + 289344494, + 82372007, + 672401865, + 52499822, + 458191831, + 631281497, + 533631641, + 60903350, + 280805548, + 291629434, + 330719837, + 291666842, + 685611336, + 47720339, + 215148617, + 539476427, + 62866834, + 73368946, + 323304464, + 574095154, + 272689952, + 790158135, + 692139774, + 112268124, + 306323259, + 271301793, + 526967500, + 271379567, + 247999442, + 4310199, + 602436379, + 485283794, + 321051955, + 712579788, + 568946043, + 352965662, + 184457963, + 510721099, + 112387897, + 386142754, + 121268352, + 993478869, + 581434590, + 557215616, + 889566030, + 369440148, + 743045533, + 830107369, + 490319283, + 804840910, + 6419180, + 959945396, + 190614911, + 444278912, + 424589218, + 977907001, + 854525719, + 610694612, + 681362815, + 368200300, + 684828514, + 450942926, + 514029875, + 913849655, + 851306301, + 673317426, + 559407571, + 638727600, + 385822892, + 104721048, + 475832743, + 405816550, + 803070000, + 603927207, + 635092947, + 343478431, + 665162793, + 756201078, + 54799913, + 998138231, + 743075914, + 730375930, + 814393170, + 728232261, + 62044653, + 749501841, + 415427038, + 513028142, + 249417179, + 407489793, + 8834419, + 763455232, + 575579214, + 336172053, + 664149160, + 552764934, + 368989298, + 869381235, + 245760504, + 559601798, + 459411092, + 128521566, + 105948064, + 822503862, + 28182710, + 425804549, + 296216902, + 783985669, + 738287529, + 245216367, + 205671521, + 219292492, + 417375923, + 88060995, + 221789467, + 103643152, + 97007674, + 946405, + 547224805, + 375118476, + 106191758, + 19985374, + 728029622, + 798077597, + 598195072, + 932201935, + 741122904, + 387694757, + 677287916, + 195375494, + 874040994, + 454154459, + 32085124, + 349686963, + 164908756, + 814292456, + 592063801, + 788139179, + 537873054, + 827359417, + 801913924, + 597757325, + 48010650, + 837545334, + 819126990, + 855957844, + 85007013, + 572464285, + 548926678, + 725367000, + 116115369, + 512413926, + 342314126, + 968581504, + 52547535, + 772240546, + 383799947, + 585911059, + 282867863, + 700287741, + 549921260, + 532655537, + 138258764, + 432791725, + 357752860, + 940644567, + 704421017, + 168261924, + 605897316, + 432426039, + 374132771, + 610045010, + 447019469, + 243162073, + 975979616, + 97008845, + 719608588, + 353366225, + 787500224, + 593440073, + 47629185, + 434626138, + 512744854, + 251118508, + 623122670, + 11094260, + 169645830, + 528048638, + 566621041, + 381884160, + 773486573, + 94360158, + 82760880, + 463204505, + 422480116, + 167581376, + 783857268, + 661271465, + 909522961, + 659253075, + 326023500, + 371004541, + 262730988, + 680953610, + 432595175, + 231244248, + 546215018, + 84259289, + 504556555, + 219654290, + 195501912, + 307052632, + 418356154, + 329362376, + 669865795, + 439812306, + 860016622, + 74360913, + 332152235, + 807622082, + 443082613, + 508234766, + 528623685, + 402633623, + 740506255, + 852911932, + 867133523, + 163157266, + 736508791, + 708896062, + 803882785, + 272961421, + 643298792, + 748868096, + 319073360, + 454788453, + 682479981, + 957887577, + 596018191, + 905769375, + 434845080, + 962708802, + 377896464, + 63166324, + 331744668, + 109860589, + 779815618, + 372429780, + 910941329, + 945187623, + 53099201, + 41645261, + 579844663, + 248498587, + 35411060, + 771965983, + 250289077, + 425512707, + 931649263, + 890365559, + 782715791, + 10368292, + 380281668, + 586461314, + 880299475, + 246702094, + 378895698, + 441890601, + 615160867, + 785072999, + 167198517, + 681651389, + 502261139, + 30492505, + 524230436, + 913121407, + 772694165, + 657502740, + 940222153, + 698531638, + 46485602, + 252280180, + 324826643, + 931927926, + 78078388, + 70692540, + 143551684, + 525801083, + 954362043, + 359272479, + 744807174, + 641495624, + 876453513, + 543179161, + 153134709, + 12259712, + 968845964, + 597240007, + 31447396, + 409096573, + 944256961, + 877583951, + 550958411, + 722863008, + 851332097, + 224362744, + 252506815, + 403259766, + 652995660, + 435785420, + 259996738, + 31630275, + 243228613, + 806375772, + 558952114, + 972753138, + 231295310, + 113272882, + 604453865, + 98227579, + 674278659, + 813750494, + 413117764, + 859130011, + 3094164, + 700511972, + 918203760, + 254260806, + 225253062, + 388047763, + 603269028, + 990381164, + 877610281, + 509735984, + 430443935, + 431244873, + 590767225, + 713929682, + 422487228, + 491005288, + 566600838, + 833917760, + 247484487, + 532852586, + 108413801, + 796282761, + 895608902, + 178139895, + 332713512, + 396607835, + 479071664, + 737810377, + 230357708, + 860724198, + 374069142, + 683885075, + 736271585, + 742340049, + 765103134, + 490733760, + 107248094, + 752467299, + 182445563, + 283010196, + 11062589, + 506855704, + 590475623, + 290446001, + 823104265, + 751959050, + 311126747, + 702020617, + 681859438, + 30558111, + 105667063, + 927741330, + 111720908, + 818645528, + 134266315, + 384625240, + 677050185, + 189406663, + 201602163, + 105957159, + 986615719, + 154010121, + 302506315, + 307468237, + 812304523, + 336152959, + 601709125, + 369094842, + 96879803, + 830015342, + 106907980, + 848035832, + 295227574, + 347856849, + 77376250, + 561500158, + 931648827, + 246873453, + 291259566, + 428365077, + 324972831, + 285458643, + 50159839, + 191645091, + 143728999, + 778599734, + 588716423, + 443187210, + 599923028, + 992771172, + 349106695, + 404138926, + 368557161, + 688753223, + 26034686, + 701430935, + 862852355, + 972599532, + 422698371, + 192374540, + 573769308, + 325972876, + 813485907, + 851640889, + 635276925, + 502404213, + 96179126, + 456985364, + 551501026, + 601050839, + 69426017, + 667030460, + 89824047, + 667102356, + 120093951, + 870892374, + 726981505, + 108139288, + 136729659, + 889892456, + 244753859, + 987401415, + 853379828, + 974191889, + 800906583, + 134679303, + 421788470, + 867918010, + 143563227, + 964397993, + 565126020, + 226026569, + 62692353, + 104691804, + 805197861, + 173075132, + 97404202, + 829426454, + 50324380, + 918363521, + 310504710, + 509605502, + 350244463, + 951401051, + 376989234, + 518184902, + 303172756, + 495588178, + 361007044, + 24635485, + 294855537, + 639718699, + 967944739, + 976231398, + 628763772, + 213951682, + 67461587, + 649856532, + 799086632, + 716188892, + 606553555, + 235114409, + 867987903, + 264412700, + 550362495, + 510639510, + 863680262, + 233822549, + 388386883, + 420317888, + 787391491, + 928913176, + 514811533, + 654051267, + 413908611, + 527521048, + 252867047, + 861700693, + 35599428, + 988081535, + 756954055, + 611533857, + 353887235, + 564100042, + 485056490, + 591079944, + 7488448, + 858550074, + 772857673, + 241404324, + 576037379, + 671266486, + 261450768, + 380180467, + 707952724, + 44254078, + 568914479, + 982957896, + 274160953, + 925263072, + 90424024, + 562462113, + 600363674, + 59281989, + 149189899, + 113649739, + 114946011, + 887845366, + 942669589, + 312934106, + 541110202, + 456583701, + 379685084, + 160441356, + 237412712, + 180052990, + 991433915, + 252223453, + 770942710, + 953963047, + 444569309, + 394568426, + 56514351, + 344954175, + 499818526, + 147024029, + 188856377, + 565284449, + 433806778, + 676122119, + 872126020, + 483218092, + 206931404, + 357612144, + 239681416, + 782030071, + 582677173, + 782489823, + 799898864, + 200420270, + 191167074, + 302929200, + 13508807, + 536523068, + 896911056, + 479245690, + 299601953, + 110864590, + 678443411, + 728343594, + 213045007, + 340473408, + 298365386, + 135715419, + 223447964, + 282418027, + 704213012, + 218754678, + 811914173, + 651968236, + 867149977, + 78036033, + 959634982, + 375879259, + 681801680, + 699468176, + 349579714, + 283253986, + 497982948, + 292378715, + 380733629, + 536251555, + 828774089, + 41097237, + 111292987, + 559373928, + 70406845, + 158131274, + 524111767, + 31941572, + 174423976, + 274804747, + 151276996, + 395139115, + 869010220, + 151647672, + 189547143, + 480510360, + 867878088, + 962238125, + 29103961, + 658988924, + 178611180, + 360128378, + 444676885, + 148703598, + 300236085, + 957832620, + 412576911, + 626520094, + 797871906, + 405118863, + 453891060, + 488281388, + 498404409, + 743210762, + 459379063, + 21916561, + 483794779, + 233305318, + 678633939, + 971440356, + 984905924, + 690037836, + 69224950, + 351413268, + 604690700, + 398599242, + 106068461, + 482059240, + 579282034, + 807349159, + 7362140, + 679296297, + 901627025, + 66161952, + 500198323, + 582569585, + 851237895, + 666396035, + 871355894, + 248644389, + 100185132, + 283526771, + 832099900, + 424143063, + 230260260, + 724009961, + 976142116, + 274933527, + 954529713, + 521582576, + 595681626, + 79439440, + 585208603, + 394282014, + 26915106, + 283855753, + 387608944, + 52402357, + 483491500, + 518832740, + 686299637, + 610949725, + 91868083, + 489845622, + 111425070, + 516378689, + 303075289, + 199102939, + 12716760, + 947414396, + 890441873, + 491342929, + 718441104, + 13613602, + 268558954, + 223343842, + 594275398, + 275874225, + 560524867, + 682620926, + 304430968, + 321573489, + 127376203, + 95283016, + 543026665, + 394584916, + 978809985, + 631421061, + 744216506, + 975696451, + 848393873, + 969476195, + 430417725, + 600848444, + 297716251, + 871415526, + 568144481, + 544544993, + 130774489, + 169340200, + 27784490, + 94244094, + 887330586, + 256467142, + 793709155, + 615068257, + 518484366, + 195164923, + 187728695, + 538328592, + 386249009, + 632218824, + 154085776, + 696731548, + 446853727, + 157284584, + 59664445, + 456769260, + 33467294, + 8134763, + 579133049, + 771838356, + 999125855, + 33180418, + 567762676, + 415230602, + 534411830, + 329789307, + 323840712, + 439776468, + 36135493, + 924663349, + 40237295, + 651759500, + 186686129, + 5859494, + 841522649, + 486869804, + 330183205, + 252128448, + 219337107, + 650205142, + 155080169, + 449912497, + 605410196, + 183023867, + 266334854, + 754687107, + 617556850, + 503699120, + 573580158, + 448547684, + 167200757, + 795629199, + 383040004, + 165807453, + 322767276, + 426624352, + 309741672, + 915632670, + 653962559, + 309835615, + 625860991, + 261881652, + 685311721, + 670236104, + 422976723, + 970224587, + 665776583, + 378479495, + 283769222, + 526648452, + 304356747, + 95099547, + 735483291, + 481510622, + 225044746, + 22449856, + 639091996, + 324694637, + 986616893, + 401462979, + 794686388, + 504208634, + 128313269, + 234617362, + 512561470, + 262606860, + 699238481, + 589454310, + 654586686, + 711344197, + 604766517, + 515605241, + 913431003, + 467625107, + 721522378, + 854529151, + 452467351, + 695810422, + 92826777, + 888559728, + 391763995, + 679312867, + 738018492, + 652047638, + 494374661, + 566200043, + 983753820, + 748295216, + 926959528, + 527881778, + 662185194, + 504953369, + 927031371, + 679263469, + 67822409, + 923337735, + 770184721, + 466522329, + 955269672, + 448142536, + 530382572, + 595726765, + 646767702, + 381910356, + 301590949, + 788378854, + 200689880, + 798988118, + 604078480, + 499238874, + 79103449, + 74586534, + 38260451, + 447934820, + 964733949, + 503133409, + 155259969, + 431236182, + 73670836, + 235958999, + 300958992, + 325503025, + 90694630, + 47754827, + 276215982, + 65496606, + 14738333, + 570963709, + 124708353, + 599634703, + 493573360, + 256037880, + 939230502, + 488578050, + 151313999, + 880379235, + 919441769, + 3910909, + 970598464, + 442881139, + 121056434, + 446195333, + 962045360, + 169610698, + 676329764, + 67675944, + 503986522, + 258149920, + 941413137, + 832453943, + 181903759, + 991119510, + 351916838, + 253260870, + 208551606, + 732327269, + 218828594, + 249363392, + 547597227, + 557113148, + 980508161, + 267275594, + 916714265, + 137356924, + 627119829, + 137458419, + 472368566, + 160199259, + 759742708, + 247822677, + 945952695, + 327604062, + 82137680, + 705136950, + 755533808, + 646485035, + 389527410, + 946900939, + 450870082, + 403031267, + 317564199, + 445860142, + 434063437, + 447922794, + 388057478, + 318665589, + 641170231, + 75425619, + 918536352, + 248323417, + 587065077, + 941526476, + 618107024, + 537306087, + 878909894, + 514382603, + 261058736, + 152633683, + 565655159, + 383019115, + 403529583, + 319349417, + 231704298, + 569401610, + 483841004, + 589404682, + 923000532, + 747243516, + 242683865, + 272718847, + 334320714, + 616497255, + 922421868, + 662758242, + 474953226, + 401788580, + 176989543, + 836627602, + 855800690, + 412280930, + 667716402, + 952230068, + 501357166, + 339610696, + 576477753, + 220462838, + 875406870, + 713634432, + 38025135, + 155186518, + 107005045, + 447178699, + 820697383, + 875844343, + 995582121, + 673836818, + 821133860, + 390911629, + 218390267, + 187598631, + 509515014, + 900717977, + 928611831, + 868490977, + 466379996, + 337163581, + 843362162, + 435637787, + 472794434, + 283116222, + 613086290, + 651054712, + 701348621, + 861604014, + 734512669, + 282061580, + 577444592, + 293503211, + 468482893, + 364729149, + 392662118, + 623948258, + 46455521, + 651182072, + 991867625, + 682062868, + 876781970, + 273658458, + 45448422, + 824761474, + 643057457, + 608444358, + 743625706, + 386514843, + 720593676, + 441037089, + 152548801, + 364608114, + 869691, + 247386823, + 286796381, + 541902242, + 558160211, + 898582961, + 847306280, + 489382302, + 714606110, + 853433458, + 877617333, + 988949306, + 663594240, + 480214018, + 713648496, + 620813608, + 459155124, + 742118271, + 103832884, + 376061463, + 4915750, + 665612771, + 97207552, + 417886128, + 134338274, + 475428382, + 73608071, + 735521452, + 241663428, + 462161644, + 103177277, + 566354564, + 451900567, + 87749221, + 105981094, + 702345569, + 141824179, + 175115134, + 931320465, + 611912525, + 88789578, + 165234443, + 768738451, + 905989656, + 111456350, + 777538523, + 309730680, + 308330795, + 379026751, + 932578725, + 910335919, + 625817232, + 598606493, + 71788901, + 464978102, + 711022637, + 534482620, + 635806559, + 705584519, + 823449810, + 588846434, + 69565655, + 274281303, + 17768884, + 698588528, + 190263584, + 823300283, + 235142147, + 378820305, + 858139810, + 940065141, + 486405933, + 268668095, + 973646968, + 146312986, + 620440452, + 25709842, + 256542819, + 903786187, + 956748457, + 433417515, + 747024625, + 532157355, + 886561729, + 550287627, + 884423739, + 468564473, + 40824135, + 654600518, + 30354327, + 32264664, + 299463565, + 420349838, + 584390039, + 926058296, + 483315897, + 359292871, + 88737691, + 820885183, + 399326998, + 609104707, + 281668450, + 509585438, + 896475554, + 46825493, + 468175916, + 93146429, + 75149704, + 663945520, + 844992600, + 747199150, + 381976042, + 567887089, + 790146181, + 499682098, + 188354601, + 368394039, + 461814082, + 618525622, + 208568799, + 634902128, + 842504461, + 631065971, + 328232174, + 787092377, + 762373467, + 738156109, + 610773471, + 847517091, + 823071944, + 812936080, + 985907183, + 874637884, + 409199912, + 6778537, + 639827695, + 15414877, + 490871172, + 440502471, + 459501128, + 703075592, + 951217217, + 435403924, + 680905235, + 52572693, + 811611071, + 384472809, + 552480571, + 419707062, + 864430119, + 267693063, + 33125960, + 23424146, + 79183057, + 971115026, + 67647480, + 428309109, + 846555598, + 889238181, + 338857109, + 988031387, + 726461916, + 575892930, + 550148611, + 156133494, + 686994614, + 959336912, + 265870310, + 471241316, + 766481714, + 738318595, + 489724425, + 558965445, + 406224990, + 675731134, + 584984429, + 532072331, + 456677628, + 543944643, + 207642517, + 481843579, + 766686819, + 62673231, + 684746266, + 296614473, + 987936672, + 19519947, + 157030240, + 305477145, + 690719276, + 650432460, + 999877674, + 449013119, + 711616514, + 738457598, + 582792279, + 161408407, + 921045761, + 700203709, + 113771659, + 912181014, + 660629709, + 180668993, + 34831689, + 733854275, + 220090215, + 379314949, + 529604791, + 454984012, + 380711321, + 273495668, + 853109795, + 458562207, + 444750756, + 581879175, + 151301155, + 403012540, + 936429416, + 859800328, + 517159323, + 969294440, + 748569252, + 46502979, + 655932216, + 400917819, + 247759804, + 585079863, + 885366759, + 325462567, + 629681970, + 537328364, + 862317211, + 708162533, + 873574985, + 600419684, + 568432517, + 816089667, + 855717697, + 756100362, + 382269211, + 415798304, + 505172088, + 678463704, + 826181259, + 168654032, + 283228072, + 678106381, + 978914852, + 230076371, + 505058053, + 434198823, + 492078513, + 824859141, + 499215027, + 557034704, + 855729777, + 592654519, + 963416576, + 866329149, + 781467615, + 198456441, + 297385850, + 572084703, + 578073592, + 545800232, + 763320005, + 728353116, + 647863503, + 485365707, + 565388682, + 837752668, + 904290666, + 291597032, + 506093193, + 929407324, + 412268093, + 669021757, + 728326381, + 369543892, + 659123072, + 794111656, + 550725265, + 145324131, + 895969177, + 666036436, + 137411881, + 960174420, + 489544997, + 499370634, + 332541091, + 446995581, + 586162909, + 943801876, + 612369162, + 675278068, + 947459680, + 730978686, + 823701539, + 860368525, + 624502675, + 285808357, + 194205621, + 263041954, + 34235256, + 66196927, + 300211725, + 145089385, + 150906829, + 381059146, + 318695029, + 137424165, + 784538743, + 98258913, + 739126686, + 986631644, + 473616305, + 837142890, + 779861176, + 904128869, + 324858944, + 765990009, + 753193367, + 234404703, + 2018552, + 891090340, + 49318523, + 719988975, + 14791816, + 951676131, + 599780206, + 222436151, + 266653993, + 641223270, + 320173432, + 584031640, + 444357784, + 298383769, + 780372614, + 342652106, + 555327977, + 131851970, + 175194347, + 741304901, + 251582985, + 342156324, + 345796243, + 605906087, + 352421040, + 230253366, + 993235257, + 1969693, + 281474188, + 111016296, + 824690716, + 894944977, + 482038080, + 636320156, + 790578990, + 502396837, + 523840788, + 349748619, + 972128524, + 701054830, + 337786421, + 875171484, + 822916241, + 286921120, + 561846284, + 613580799, + 484573305, + 993610851, + 872196940, + 333242067, + 349937096, + 849906783, + 49908089, + 743533372, + 658266306, + 386639072, + 586011970, + 842935939, + 342371414, + 393986007, + 575207498, + 168604948, + 214304006, + 907795244, + 248420370, + 363625364, + 827514166, + 221096498, + 966836689, + 971929622, + 418585743, + 706739447, + 425853724, + 900128790, + 900733193, + 30543942, + 734187883, + 394415880, + 544856894, + 569566671, + 103290435, + 70580858, + 59711808, + 710032977, + 249851645, + 337334402, + 461705316, + 92329528, + 366911765, + 334796049, + 567192930, + 791923255, + 720232864, + 343679461, + 262185886, + 554970574, + 254142664, + 913079752, + 814761387, + 888735188, + 520983618, + 455389107, + 431755676, + 798174929, + 259893423, + 64405313, + 7243084, + 925615955, + 842598743, + 902785203, + 846361742, + 122749378, + 180632462, + 708810233, + 812366622, + 233173292, + 131033349, + 112196428, + 304306776, + 645307287, + 570759260, + 60834827, + 116662236, + 899219934, + 757525569, + 766719924, + 588649303, + 570844993, + 51002503, + 604170753, + 591132281, + 378547274, + 146049476, + 183819447, + 913955497, + 550078327, + 559529384, + 24905873, + 647073766, + 198415512, + 719343295, + 508295435, + 400409892, + 760265724, + 94184038, + 539214553, + 991847031, + 485747217, + 399102641, + 664971753, + 991477592, + 108275119, + 561147043, + 562040342, + 621779645, + 785938050, + 739144722, + 615225248, + 994805428, + 394487930, + 894037259, + 923682240, + 43004805, + 369479471, + 919077148, + 639980054, + 626703243, + 454692327, + 976087245, + 707307036, + 400626082, + 124955200, + 851810788, + 669003450, + 810519571, + 883995293, + 213845740, + 236095867, + 179602456, + 855296527, + 455118220, + 510528471, + 35108972, + 843937697, + 329008005, + 971054715, + 737705562, + 348582493, + 693737258, + 603275003, + 902089194, + 103543926, + 777539873, + 153241748, + 956580036, + 761807478, + 539430966, + 480418983, + 65363229, + 460487854, + 40743548, + 454671158, + 972206433, + 908974449, + 322315503, + 110268610, + 686926985, + 177133879, + 335037877, + 161075744, + 474092329, + 754030143, + 801772724, + 817148787, + 674611573, + 758240652, + 461913824, + 821388309, + 787212142, + 118920323, + 698116007, + 704100039, + 136795407, + 366183003, + 985541015, + 497120673, + 343162110, + 58858634, + 328193124, + 59333140, + 505457807, + 370925360, + 887102724, + 590207630, + 995904364, + 978227184, + 128533219, + 361116492, + 927416478, + 287046958, + 334598404, + 826567560, + 766380956, + 387399293, + 610040213, + 67889025, + 500279753, + 221039914, + 761947924, + 290590030, + 357294274, + 762258931, + 463085570, + 104944345, + 53891189, + 816753000, + 652028847, + 76693454, + 807361377, + 774642291, + 386368608, + 429808163, + 305491914, + 612238657, + 860079063, + 157182675, + 766764369, + 164551872, + 798878302, + 7676265, + 427862487, + 418784890, + 696961656, + 986449456, + 628464644, + 606692017, + 863966009, + 213796025, + 350494043, + 754629315, + 457740603, + 465408182, + 155366244, + 434162926, + 166266940, + 544697861, + 455817159, + 745621596, + 116214986, + 407037763, + 37510297, + 659103718, + 947206768, + 380146779, + 178441882, + 588810473, + 910702477, + 742100513, + 506398900, + 78948914, + 148915085, + 586726661, + 94511150, + 89416212, + 669066166, + 176452143, + 814622632, + 610142321, + 143581589, + 806938583, + 106132945, + 575441670, + 810768819, + 940699304, + 279715288, + 210603555, + 655719558, + 623234413, + 531189354, + 679465713, + 962245112, + 117956501, + 42536699, + 10175078, + 441359588, + 260534326, + 73271918, + 9934085, + 726983284, + 493505781, + 694158561, + 39742021, + 404208445, + 778428736, + 197940120, + 568628378, + 127094494, + 117983659, + 159874068, + 796861743, + 186406357, + 463133716, + 413252565, + 65007814, + 676083694, + 356659794, + 551966221, + 15387105, + 567542672, + 477316217, + 520316086, + 964023870, + 331846008, + 960616796, + 994028705, + 656053807, + 143840958, + 710032805, + 859406265, + 266078336, + 87538504, + 713379627, + 851373517, + 12465574, + 578822303, + 534153334, + 743297876, + 678474482, + 574120829, + 351800460, + 306688009, + 840029909, + 325463859, + 795813923, + 766224438, + 453029252, + 784640243, + 102097305, + 667580443, + 964021748, + 703999087, + 846300429, + 800326353, + 450701585, + 234612325, + 138453683, + 528583114, + 410123543, + 435580382, + 20901999, + 167906042, + 282080030, + 474304373, + 247547544, + 115326016, + 26372501, + 651823049, + 414152575, + 808294514, + 839236603, + 51990413, + 947148583, + 268282871, + 172462538, + 715353239, + 87015120, + 623803143, + 398092712, + 768985006, + 63174591, + 598850834, + 920479944, + 390740505, + 476732193, + 168503448, + 76253371, + 434259097, + 308079295, + 380666113, + 671126536, + 120376766, + 778453294, + 758731887, + 719045564, + 802583270, + 171667173, + 91649316, + 112540254, + 921161700, + 419910330, + 965984748, + 703849834, + 402194578, + 319564218, + 833790073, + 862772637, + 13973749, + 295506953, + 560192226, + 241845300, + 459016554, + 284424176, + 495322860, + 908548077, + 453250224, + 549830587, + 101519816, + 316306680, + 4297274, + 477591933, + 929962688, + 687356969, + 704176315, + 570802613, + 192540473, + 876244597, + 2352570, + 161476919, + 849719649, + 326532826, + 914425547, + 304260255, + 705752182, + 191928536, + 818243490, + 48026838, + 751112307, + 727240325, + 14192232, + 305402925, + 698844691, + 499796875, + 761261339, + 92939287, + 322481627, + 393009167, + 554761352, + 363499340, + 938467278, + 213523609, + 408615979, + 969704197, + 999792740, + 871268387, + 960925764, + 965551046, + 744832839, + 489557826, + 597085985, + 474378523, + 880102871, + 909535741, + 599457438, + 692812284, + 346285099, + 623217380, + 501353328, + 56899865, + 636911947, + 738219084, + 70134573, + 527461049, + 106559068, + 810111463, + 208249045, + 924396426, + 561698898, + 684186001, + 462551659, + 626727259, + 601653983, + 961752476, + 194549712, + 404788333, + 383369236, + 741701702, + 123955592, + 179934961, + 273323873, + 262253410, + 370068399, + 589383282, + 118500823, + 225341612, + 114207638, + 324748608, + 353578569, + 400723274, + 485376116, + 155237963, + 416915063, + 801437726, + 926540916, + 873433287, + 980821313, + 32012835, + 409561044, + 126219618, + 130251090, + 231497075, + 775502207, + 48683846, + 676215637, + 20165694, + 109965397, + 983224952, + 930484600, + 736322146, + 908251788, + 933599195, + 357570996, + 193187040, + 981127519, + 279774120, + 24542801, + 418039497, + 599573216, + 281940477, + 445646172, + 288693840, + 98193540, + 599139456, + 37471004, + 644669251, + 807518813, + 63138917, + 582451650, + 767067766, + 783088986, + 33248852, + 244162103, + 774330124, + 995667619, + 578111063, + 345500715, + 184658013, + 566535159, + 999106421, + 746817361, + 289654502, + 950468044, + 439475067, + 746402749, + 298074927, + 590414146, + 190468335, + 541570670, + 847385340, + 590407191, + 670118320, + 434966136, + 430797375, + 764314557, + 569495540, + 139367547, + 116201815, + 626245134, + 309618198, + 130055973, + 100416415, + 573457213, + 678091931, + 244142167, + 324520935, + 755759385, + 641620088, + 548111354, + 789034994, + 288527047, + 695926502, + 739586343, + 820328226, + 933287844, + 20797880, + 335199579, + 380319210, + 435632491, + 944033827, + 564667116, + 460531104, + 44054348, + 527896444, + 7651123, + 65919309, + 813049872, + 516541406, + 741169518, + 387004322, + 565924865, + 680072669, + 399151257, + 716301105, + 166297630, + 954483141, + 755689683, + 880992351, + 830736318, + 582944143, + 830408622, + 349102087, + 938381719, + 305397575, + 579727518, + 75458779, + 601566722, + 969806471, + 468843697, + 959576032, + 362248172, + 937378584, + 7807180, + 732124825, + 729049850, + 220189016, + 559158857, + 139651929, + 1463412, + 63171720, + 285623426, + 604091081, + 56228109, + 916158069, + 315683725, + 431421794, + 381203992, + 695736713, + 423822025, + 179242122, + 814611460, + 32896558, + 509381281, + 485614243, + 834665169, + 404153196, + 117447196, + 280830851, + 84815114, + 155386312, + 1329059, + 367109128, + 866577119, + 136010953, + 843735615, + 649702963, + 636104388, + 790151515, + 513602221, + 39418187, + 907639117, + 943447839, + 931904679, + 459274839, + 597337805, + 362097618, + 525459536, + 95379158, + 312513417, + 321117234, + 767943294, + 253133714, + 667804728, + 700176654, + 324244555, + 70142379, + 228916152, + 887835813, + 895075926, + 482060838, + 398579272, + 991435210, + 637972955, + 546930296, + 92598921, + 367636733, + 899317402, + 139931578, + 191792528, + 622050078, + 472161889, + 12990656, + 782876033, + 867037140, + 64108588, + 788425697, + 284655044, + 339114067, + 973071478, + 841539100, + 363056050, + 70597670, + 359364937, + 494640469, + 546357925, + 579039900, + 240903677, + 93629298, + 640438653, + 441368826, + 901699704, + 600858681, + 808182921, + 556126971, + 823332898, + 407742352, + 495276847, + 336011469, + 814144096, + 489300362, + 994186836, + 123258915, + 754640406, + 673725403, + 536401347, + 392476048, + 492359725, + 842458229, + 428737161, + 403418619, + 134564446, + 747843565, + 774234013, + 905143115, + 509512978, + 27540945, + 402786805, + 699152761, + 189284580, + 280401553, + 613188750, + 746867896, + 751684378, + 588480054, + 199861508, + 256800902, + 595750656, + 749939986, + 35376617, + 309394126, + 299074763, + 112880695, + 120490986, + 21072336, + 679537329, + 950081033, + 379636076, + 187372636, + 412874225, + 637481275, + 717934761, + 322908379, + 531009794, + 241289814, + 621709486, + 624372339, + 571733658, + 482766056, + 310218859, + 23866849, + 76783484, + 324268685, + 644079303, + 354946735, + 678367543, + 559769159, + 978098509, + 658309176, + 736161886, + 399717784, + 370905484, + 166566210, + 858575674, + 148885655, + 737161300, + 902104899, + 61635611, + 917081504, + 436469173, + 585869534, + 719837919, + 549464893, + 829727570, + 995533162, + 541997907, + 262144445, + 547275155, + 886195719, + 957193337, + 293479774, + 479676865, + 696098435, + 959507792, + 848520788, + 440126476, + 24473989, + 120738889, + 944157022, + 285504747, + 377028055, + 194837927, + 198891834, + 872631411, + 827040694, + 14375858, + 942532076, + 659457233, + 224378233, + 499869537, + 177114504, + 978257617, + 401684550, + 429446992, + 169546692, + 269008166, + 70767055, + 470591578, + 900298047, + 135460987, + 896423477, + 284015191, + 273262409, + 517269787, + 908210616, + 940902190, + 881078390, + 85810042, + 152864765, + 314285346, + 535486758, + 733577043, + 911357131, + 358407621, + 470238691, + 624161928, + 867739423, + 701486904, + 660337017, + 418806455, + 567425082, + 529003838, + 380512038, + 693293983, + 925608375, + 512643488, + 777674221, + 950965174, + 872827677, + 243168775, + 170114437, + 734220766, + 234947022, + 260363344, + 186253978, + 282406891, + 138494753, + 811380047, + 341470523, + 344712208, + 575150361, + 882071547, + 696314909, + 960055551, + 954436743, + 614902137, + 770152008, + 906808679, + 376065057, + 477866428, + 164279933, + 339858387, + 27691811, + 90944574, + 581132438, + 304106063, + 468235382, + 240100618, + 769105562, + 981533962, + 447615421, + 88733927, + 672034535, + 116989791, + 971859441, + 808556584, + 53640331, + 574280584, + 755610974, + 840111086, + 200862065, + 678605080, + 265399357, + 938896489, + 125408770, + 667150480, + 531751640, + 135611975, + 865790609, + 484354978, + 969106335, + 762215342, + 257085675, + 11285334, + 997304190, + 576683819, + 345234604, + 615205268, + 413720835, + 808213612, + 254999251, + 521958774, + 568185130, + 92450161, + 896903685, + 372989939, + 314453410, + 128946272, + 682811172, + 927013764, + 535038161, + 743948205, + 315857009, + 23522915, + 495408157, + 382101413, + 229315293, + 667522338, + 431301704, + 907099926, + 750818505, + 907662608, + 563437251, + 606436150, + 106906060, + 268092662, + 513804138, + 193586474, + 868146365, + 680632439, + 606411606, + 394903405, + 29973001, + 332338915, + 841426986, + 141387984, + 285691568, + 811860049, + 806602229, + 578777525, + 95815635, + 161227109, + 781428350, + 854231576, + 23801469, + 864543917, + 660887189, + 451422782, + 447030518, + 910119326, + 917932506, + 475366017, + 935026767, + 913608001, + 914595264, + 449377033, + 335530279, + 341705115, + 780979229, + 350318685, + 607278383, + 698400202, + 183352745, + 146902547, + 209548942, + 610663784, + 79801766, + 538978216, + 653239336, + 107219187, + 545020881, + 224076956, + 695982056, + 87742618, + 94365928, + 634077828, + 320742547, + 550941190, + 469387268, + 434859837, + 940940804, + 678957866, + 292955728, + 329439289, + 94333042, + 278345457, + 858243016, + 74726194, + 707721520, + 460110807, + 217500722, + 697201353, + 795924739, + 135379576, + 792132830, + 53506081, + 706117293, + 751706013, + 13821647, + 268379239, + 773264196, + 572233715, + 345962374, + 716098664, + 72810058, + 115219508, + 179713996, + 690826061, + 126084203, + 382374368, + 882749945, + 37956358, + 564365236, + 614338288, + 613764357, + 870679107, + 12376425, + 168434382, + 794883417, + 488056334, + 862867100, + 483242104, + 798763634, + 721936784, + 652827822, + 511234568, + 991313962, + 79140652, + 163227445, + 689075505, + 917194787, + 117585392, + 375780557, + 420134621, + 995608505, + 798731199, + 680162805, + 614884880, + 350354175, + 181150062, + 163607923, + 917382585, + 176456828, + 89327578, + 521373805, + 549586811, + 216272104, + 135100940, + 947323154, + 867350206, + 41188893, + 573046386, + 946791505, + 737285722, + 851727591, + 689375699, + 534315589, + 611844035, + 446036068, + 452111465, + 521643701, + 65655139, + 182732508, + 608619692, + 884164679, + 897328400, + 939740721, + 640284550, + 129663799, + 346629938, + 161006562, + 123514654, + 73507542, + 249804843, + 579365570, + 509414053, + 479731659, + 382623671, + 549406959, + 690637795, + 936974505, + 518249911, + 702440353, + 241327875, + 94487395, + 659213063, + 364141193, + 243045103, + 578343799, + 90598353, + 693862614, + 983711303, + 879863798, + 390540956, + 776748405, + 674755168, + 874775359, + 22358214, + 383571817, + 834573462, + 202108645, + 81895939, + 415855937, + 761978991, + 357768787, + 332015400, + 133849785, + 785665519, + 915741652, + 675535506, + 679326274, + 643261894, + 799176595, + 358801654, + 254640771, + 283314552, + 138850237, + 471569068, + 366538759, + 985425824, + 768587513, + 610910698, + 199488999, + 353683990, + 333592392, + 290093053, + 347299647, + 469809681, + 289830084, + 162542430, + 722732867, + 628682119, + 775480858, + 349673218, + 737763604, + 831456733, + 120341430, + 215910959, + 437991797, + 485179003, + 189904315, + 993488642, + 36042255, + 812412062, + 687118595, + 8529421, + 768249810, + 93681710, + 450102893, + 220249566, + 561932576, + 169299630, + 947933781, + 335971708, + 580505579, + 550004833, + 888462212, + 359737857, + 64376312, + 469536041, + 384547572, + 107557034, + 42644741, + 297017776, + 413152195, + 78478474, + 952214320, + 477744252, + 813747780, + 132255987, + 161829348, + 51395914, + 901969386, + 192423700, + 735070215, + 314285496, + 698468829, + 465062496, + 861228192, + 338475080, + 855228061, + 7736550, + 934883368, + 508063109, + 58713890, + 191762703, + 874026144, + 670369127, + 949152258, + 100652616, + 70548221, + 310182480, + 157702151, + 999901689, + 548105805, + 859470440, + 579517283, + 358825649, + 405116740, + 626337972, + 757382508, + 144011680, + 165795269, + 802556541, + 340161889, + 348015914, + 682784533, + 828490878, + 428968986, + 418113468, + 637393553, + 725411757, + 13548659, + 362002690, + 429139847, + 348425250, + 636322451, + 582945143, + 897321660, + 529631104, + 336098411, + 496137528, + 164900465, + 423320754, + 477961501, + 44668908, + 907418977, + 728521159, + 770626710, + 920403638, + 464417063, + 508792848, + 949424450, + 99488635, + 512629612, + 240454553, + 138726665, + 226789679, + 800938679, + 488849372, + 842984090, + 44553005, + 810902200, + 732552831, + 418376353, + 436075160, + 551854637, + 503048867, + 781633304, + 993667788, + 780584657, + 784130396, + 971831539, + 35883327, + 838669367, + 951033573, + 425174345, + 203787818, + 272580377, + 835152899, + 659034237, + 36823633, + 641793367, + 632956764, + 823884054, + 746580290, + 998096688, + 911347749, + 180845138, + 200892512, + 698676843, + 260582752, + 781079496, + 590866381, + 847850621, + 196339713, + 235713193, + 757107442, + 37552046, + 167733476, + 611061364, + 994160845, + 114415537, + 84032915, + 510959365, + 280434308, + 708916667, + 161522109, + 626460847, + 85718917, + 488828165, + 808300872, + 689398226, + 410369573, + 533763623, + 170665233, + 189016958, + 729258720, + 601032042, + 750293129, + 61096412, + 917156571, + 605066142, + 85245862, + 319848822, + 321989965, + 398103189, + 162872728, + 809066465, + 757736168, + 747591753, + 389342377, + 731672491, + 578597716, + 822517095, + 549043907, + 921753308, + 443769688, + 974365820, + 390535126, + 926832445, + 120005023, + 198612333, + 525325127, + 21124145, + 345706697, + 9949073, + 402937373, + 766685574, + 388561793, + 205766771, + 447559887, + 713710589, + 84994391, + 228434413, + 253076567, + 791207126, + 552949391, + 470286388, + 239810609, + 195885326, + 197262441, + 360996238, + 803692993, + 309023825, + 693184435, + 514528489, + 827644232, + 521273537, + 157062220, + 296252043, + 822305091, + 93250131, + 403128828, + 68675526, + 769506427, + 430238302, + 794917917, + 865151044, + 953878432, + 829424565, + 806377546, + 587299019, + 966406670, + 825700067, + 264091256, + 669930195, + 398745721, + 953747710, + 157996010, + 636403663, + 838793796, + 413445528, + 687120921, + 347176692, + 792674522, + 497887644, + 556105482, + 693861498, + 513225677, + 528589901, + 860579475, + 818839821, + 487675286, + 641146471, + 158289303, + 299790514, + 393753590, + 360355601, + 466599199, + 189591000, + 535342059, + 257048285, + 159358611, + 303460437, + 367009393, + 107551280, + 421802038, + 297118767, + 152328438, + 256688902, + 914518734, + 293475987, + 869694362, + 925004238, + 766442796, + 965016738, + 848633193, + 81050153, + 300223426, + 723891521, + 322205414, + 30423389, + 758738292, + 736517899, + 452398732, + 928965970, + 858472706, + 196618652, + 247368082, + 503402430, + 698541649, + 531774140, + 938504533, + 258381977, + 587161825, + 651529965, + 206866593, + 276307788, + 870862953, + 601650796, + 568705991, + 959896655, + 982318309, + 751186916, + 20394769, + 552104856, + 49397896, + 681478899, + 115561957, + 351365976, + 30071065, + 139587736, + 715132944, + 59899336, + 350346619, + 629660394, + 680783567, + 214138596, + 788304478, + 633150380, + 469816614, + 457406363, + 625545515, + 903216180, + 665051278, + 642997589, + 963713795, + 855939978, + 74276671, + 533230858, + 178066839, + 873459340, + 561979550, + 13331900, + 634708693, + 407080402, + 323626175, + 109595601, + 188416641, + 624172863, + 663529773, + 357165096, + 538752918, + 784784445, + 594702965, + 408656949, + 176619623, + 655379714, + 453094052, + 547583652, + 185417500, + 726595904, + 543910805, + 852072328, + 968804941, + 643541495, + 923068653, + 452598273, + 829456043, + 428641607, + 850563715, + 597047854, + 482823291, + 1986615, + 101204923, + 378072579, + 634574291, + 637365552, + 847106000, + 493365606, + 631533530, + 111286574, + 892647978, + 238382878, + 820756891, + 501273955, + 247702653, + 382115093, + 420056588, + 327563650, + 774521635, + 515066110, + 226885318, + 194380511, + 984328133, + 101462064, + 60518522, + 246131197, + 507711586, + 244974205, + 777347035, + 338072534, + 242046448, + 79045400, + 318533274, + 156356531, + 261624662, + 259403816, + 661948138, + 713106738, + 341719040, + 224307127, + 207270668, + 157940434, + 281630398, + 754900757, + 188795228, + 769040774, + 25210163, + 1866727, + 419429022, + 730155411, + 85808304, + 403759992, + 556554461, + 363182733, + 694802732, + 127461591, + 405909971, + 220415838, + 643861437, + 643684255, + 49551252, + 955604605, + 589191119, + 877864876, + 841940222, + 331290771, + 339286015, + 547248592, + 680542299, + 576764655, + 337413066, + 407647185, + 691349584, + 643035896, + 439645541, + 396047842, + 549822685, + 60081770, + 4885345, + 50686509, + 179634422, + 454774638, + 35230731, + 11058983, + 857288037, + 690275019, + 335615786, + 712340163, + 436006593, + 786515029, + 639614649, + 397311159, + 972303772, + 955031943, + 442870665, + 827744871, + 7385499, + 730258113, + 654128782, + 318070324, + 770494456, + 769241501, + 256060216, + 981842064, + 698911814, + 625627534, + 760379056, + 500499598, + 967728579, + 875587635, + 484546148, + 389717277, + 807986249, + 61768244, + 937259428, + 595592663, + 608010707, + 572194041, + 606739403, + 100542012, + 52159143, + 842341025, + 638608345, + 313796167, + 470528491, + 424848364, + 461290502, + 570020439, + 626638211, + 540488914, + 350767983, + 637427765, + 626931714, + 55361867, + 905746813, + 485376282, + 224138883, + 131484680, + 650338724, + 881099674, + 26557555, + 756219949, + 333921261, + 854779915, + 652001474, + 255775201, + 861991627, + 809320052, + 203069067, + 716077623, + 905649538, + 64678528, + 959847429, + 826314670, + 449237136, + 120389110, + 192995523, + 57281810, + 204247889, + 774800231, + 473626491, + 940608, + 224857472, + 13348333, + 731593203, + 772223976, + 291449826, + 119440279, + 633537740, + 309441463, + 245992735, + 388501055, + 294202968, + 735861114, + 874938575, + 742759489, + 817000849, + 454395691, + 83264021, + 197552580, + 553167034, + 427793695, + 73394659, + 351279521, + 573711696, + 183277880, + 625796567, + 682528352, + 316545931, + 76174860, + 428676574, + 188341959, + 595079274, + 464627925, + 528659317, + 364936675, + 735352767, + 326908931, + 588436185, + 901951792, + 855485568, + 319534836, + 977956492, + 859048557, + 420977603, + 53582065, + 756846398, + 279916768, + 381674156, + 381413761, + 415864789, + 936478592, + 104412598, + 309355501, + 357919716, + 40964196, + 21584807, + 601728699, + 745147675, + 204856002, + 92635426, + 761962462, + 1942547, + 820774103, + 14861187, + 269583266, + 164156948, + 724729398, + 373786991, + 326181959, + 816273998, + 549198235, + 38279490, + 870364591, + 299709420, + 549500468, + 834220798, + 349876246, + 91445236, + 518195064, + 13434468, + 337562150, + 41805838, + 126527149, + 51050452, + 964491228, + 575567480, + 134262383, + 310993420, + 317131613, + 848908283, + 223914060, + 240451185, + 498214996, + 317790406, + 866305505, + 908477731, + 652923035, + 248051645, + 703255713, + 507823328, + 537735965, + 890737910, + 103279416, + 328446033, + 985433585, + 632440012, + 519269640, + 478605651, + 942314833, + 806787724, + 709677464, + 784521440, + 502252073, + 727135012, + 687648214, + 442299062, + 615531491, + 989502491, + 390163500, + 425447090, + 287631688, + 432235208, + 735938202, + 696264953, + 636590969, + 249569588, + 286774297, + 760009888, + 436827026, + 723194067, + 480007887, + 681399783, + 202740575, + 899688664, + 556058674, + 891898584, + 748123783, + 405465272, + 407741421, + 466621124, + 172309120, + 774403291, + 961944585, + 592405473, + 467298547, + 853383847, + 941978152, + 893300255, + 620687369, + 30839037, + 352770182, + 323976612, + 520835469, + 706003761, + 574409077, + 169133868, + 945874789, + 434698843, + 405803923, + 521639085, + 73707186, + 99240304, + 967522279, + 825059784, + 222954018, + 196779355, + 184824774, + 99522019, + 326451190, + 293519204, + 671855378, + 28764564, + 153668719, + 654665941, + 381945801, + 116621366, + 183713898, + 664863552, + 107002452, + 667375954, + 417029343, + 697735377, + 216936739, + 591451202, + 869520514, + 645231415, + 258130042, + 925293341, + 381249108, + 740694206, + 206869671, + 545012688, + 299161892, + 617746985, + 480850909, + 463773429, + 205654231, + 496659825, + 984231702, + 822439359, + 838260886, + 76822065, + 866733944, + 314972206, + 448823460, + 351830395, + 881465901, + 756325779, + 965114158, + 335362984, + 29834908, + 466593162, + 59164478, + 183879299, + 238863544, + 41605134, + 813603804, + 878653717, + 610770413, + 184228362, + 216341402, + 375448108, + 636458846, + 770577601, + 644626290, + 404446022, + 101018315, + 552553220, + 30105501, + 17394695, + 462532140, + 651548338, + 510483511, + 421638119, + 662435694, + 42502735, + 756582540, + 257586193, + 1120856, + 299442172, + 846095275, + 884920547, + 52191460, + 815226793, + 86101301, + 22703951, + 806685882, + 860505256, + 400668135, + 190554048, + 355990246, + 238986754, + 731767318, + 183358634, + 420481201, + 272673260, + 647645097, + 215410417, + 797356287, + 651070455, + 244978850, + 714449227, + 182150862, + 714744241, + 837805117, + 453238590, + 952955294, + 415591901, + 67705919, + 567062673, + 614226777, + 28324755, + 391773113, + 358402249, + 199528943, + 621010078, + 204821371, + 158010766, + 995981778, + 824814812, + 573821004, + 987384412, + 697117950, + 21810646, + 157263348, + 602181950, + 42212843, + 780492129, + 677076333, + 567631483, + 951928214, + 678632466, + 745187481, + 944049415, + 722570609, + 31692486, + 748365174, + 70597322, + 360698118, + 999477667, + 999623181, + 765129745, + 81984627, + 799846627, + 6052048, + 468346676, + 413093862, + 438955516, + 935250007, + 854924495, + 196020289, + 345402354, + 559528841, + 646906903, + 897692032, + 166948615, + 255819755, + 124726623, + 898212259, + 625751524, + 954171620, + 923731864, + 348854930, + 245872142, + 235150186, + 161440713, + 744723326, + 683903602, + 447172834, + 268223520, + 476030877, + 604620590, + 324388620, + 78732012, + 941526750, + 7493642, + 170215645, + 549190057, + 618558139, + 790407029, + 825905118, + 139316406, + 21430402, + 955531943, + 193384917, + 247030879, + 815397728, + 439635568, + 422197954, + 348005127, + 185400353, + 696873564, + 518322974, + 902133451, + 116211698, + 349127787, + 340508421, + 915965026, + 487662374, + 884233003, + 823298880, + 17512240, + 84406226, + 890615591, + 865267167, + 604283314, + 254801352, + 805296851, + 298910890, + 911728361, + 918359488, + 418680928, + 596406212, + 241470439, + 571501938, + 269776317, + 859794168, + 817962378, + 482400590, + 870646933, + 725326923, + 64827121, + 837655454, + 74307807, + 494278614, + 453054338, + 307221158, + 807983520, + 979804374, + 958278003, + 712582424, + 77659347, + 202008235, + 360233855, + 902976981, + 443300704, + 32601444, + 683298649, + 277301826, + 400389898, + 647484184, + 316379672, + 105884113, + 849961529, + 794697910, + 996518209, + 181467390, + 905116426, + 635563891, + 124493246, + 223739341, + 778040499, + 589924308, + 88203762, + 861723630, + 139852258, + 799117365, + 593646089, + 286390349, + 668617052, + 641880867, + 852910779, + 704487390, + 410436273, + 170828481, + 300519316, + 164830587, + 550310190, + 785571164, + 515854907, + 169529477, + 94657699, + 626232561, + 616493450, + 662799039, + 535079643, + 479967197, + 282492320, + 591402845, + 295153195, + 356681586, + 355540432, + 459626601, + 133188119, + 396482749, + 178283259, + 552832654, + 449983996, + 217460395, + 746851968, + 257124923, + 495687830, + 405330539, + 943979909, + 569314072, + 348741175, + 445790424, + 426425461, + 812415823, + 373113859, + 648625232, + 323649560, + 717971412, + 508128002, + 684143970, + 684894619, + 943251705, + 353026981, + 934003226, + 963917732, + 845494080, + 187195396, + 67510256, + 749102773, + 983731203, + 793982308, + 565363347, + 661434929, + 285118853, + 530731415, + 595942855, + 566621540, + 207724688, + 63778788, + 368453951, + 666504136, + 402971260, + 261100035, + 982027923, + 142821207, + 730819813, + 802334156, + 239515079, + 654215244, + 488790154, + 872739367, + 848804878, + 214573678, + 420060371, + 370133908, + 636281155, + 707747597, + 350758953, + 629642806, + 490543288, + 870981091, + 993781203, + 678003313, + 213295192, + 386317842, + 764992044, + 99068162, + 911615970, + 56288790, + 723673829, + 118175837, + 66203249, + 872679598, + 221827199, + 705666830, + 759131658, + 461146682, + 535628211, + 177757143, + 614537836, + 206340788, + 914621301, + 251295314, + 65201599, + 595527269, + 948960412, + 258392481, + 420867790, + 141651288, + 884833983, + 25376583, + 641429607, + 447336962, + 226608234, + 672745827, + 299559484, + 365884605, + 437242125, + 863893737, + 437601286, + 154345172, + 681864582, + 41077535, + 493008373, + 331338726, + 533888521, + 359072508, + 66647170, + 697300059, + 780522963, + 410854724, + 535420603, + 403088422, + 452040112, + 238050015, + 563056444, + 84422239, + 312439908, + 659293756, + 474660926, + 731297508, + 296456749, + 601753030, + 38097459, + 75449987, + 89081386, + 309459657, + 793655534, + 834882344, + 770027384, + 993982708, + 731462191, + 542155109, + 955301608, + 100736504, + 725832879, + 811787170, + 708506823, + 82290325, + 516609376, + 167515743, + 795620762, + 892909073, + 460790121, + 930327207, + 929740875, + 586030266, + 569297038, + 728696756, + 786978436, + 386346956, + 935499785, + 119598238, + 546795687, + 388091327, + 468041255, + 305051712, + 201926418, + 258335880, + 791379428, + 937858705, + 119576645, + 850751491, + 170073556, + 87811692, + 853232848, + 859171186, + 950999820, + 988599284, + 916675203, + 107047129, + 373167657, + 715060300, + 874895022, + 546471259, + 251447810, + 773293686, + 740245499, + 294668424, + 189622522, + 777450492, + 565953524, + 93868385, + 398804669, + 253188147, + 222557214, + 649358746, + 908108667, + 912255850, + 615921829, + 201474062, + 192987479, + 362394321, + 58441155, + 88223718, + 874483960, + 628014592, + 962289441, + 163385815, + 708857398, + 809191891, + 866445040, + 397903745, + 983473644, + 402241624, + 828792145, + 486596400, + 559587476, + 118370443, + 348603309, + 966883568, + 18832078, + 882909634, + 299623094, + 201001266, + 549855166, + 446064608, + 927454286, + 721649964, + 263384516, + 489301635, + 490149406, + 407361119, + 294828795, + 805228392, + 357399330, + 865570098, + 615893508, + 402982092, + 237427321, + 427169299, + 629400991, + 158704132, + 668050172, + 334475571, + 33044653, + 338937952, + 993744503, + 130325132, + 814317635, + 610759951, + 264649186, + 748838775, + 223878670, + 392482284, + 635614465, + 737961407, + 529358376, + 40569051, + 687273491, + 104821368, + 970442312, + 511678973, + 687201125, + 647451501, + 81545610, + 577143112, + 21352551, + 289136454, + 932192977, + 862009622, + 513073827, + 324994475, + 997768798, + 384931040, + 612362579, + 935970488, + 969580199, + 564009628, + 449684679, + 508115807, + 995217219, + 137926574, + 875838, + 746776608, + 845361793, + 264431007, + 65771898, + 111094216, + 376216731, + 887107839, + 348982427, + 643239556, + 558353955, + 914246203, + 364842510, + 231662968, + 614826001, + 334097430, + 249464628, + 435587383, + 703981914, + 249150630, + 673502830, + 450434060, + 75242863, + 431832606, + 779735110, + 66525468, + 418286519, + 687317763, + 529225040, + 816243581, + 960509130, + 499660210, + 33841660, + 991925104, + 889416294, + 533442087, + 663175676, + 718665176, + 708847948, + 614539213, + 234965634, + 112852141, + 351482105, + 832271554, + 544950470, + 959164750, + 164797156, + 466443387, + 64837782, + 530635696, + 881416619, + 881953601, + 298341641, + 710538, + 210957201, + 542877794, + 728265041, + 192582118, + 405769326, + 782441828, + 680232586, + 137265680, + 234058360, + 269340739, + 378189525, + 50760879, + 940926474, + 811087380, + 352693930, + 365609301, + 633493528, + 581002602, + 54807765, + 509955028, + 9717398, + 521024770, + 71555321, + 308381735, + 452347982, + 807264948, + 743143340, + 624227361, + 905902175, + 307338869, + 266317631, + 269951747, + 187089974, + 165207846, + 345022355, + 429425690, + 312036865, + 435928981, + 502335405, + 283890247, + 287137777, + 57517898, + 599517561, + 375655146, + 863017980, + 476518045, + 242146776, + 968092120, + 547030188, + 944465553, + 131255512, + 24416377, + 254044389, + 27746910, + 666994139, + 897738149, + 372079735, + 477768531, + 607598911, + 756223245, + 577641394, + 476449419, + 292125690, + 995512346, + 478436449, + 732357130, + 181795980, + 822786917, + 721908181, + 11638156, + 57110056, + 92301093, + 849998922, + 987470243, + 761282106, + 781743430, + 83240174, + 372913455, + 500034957, + 829088729, + 81412915, + 676930845, + 190676278, + 90268180, + 272121322, + 386362265, + 573545795, + 672064573, + 346582784, + 648847965, + 833543399, + 895147244, + 697062775, + 745934085, + 211258423, + 87874342, + 198966368, + 485916659, + 837616954, + 802264239, + 817153251, + 20066946, + 674628906, + 457594135, + 476108039, + 790843552, + 221717758, + 93183170, + 515191374, + 641067873, + 977920322, + 861993442, + 39954598, + 90302687, + 92950441, + 22716925, + 896355875, + 286603447, + 222348982, + 452913621, + 786497472, + 663687048, + 661058210, + 352169058, + 927399381, + 883684554, + 536411055, + 314569678, + 264898228, + 997748824, + 566238113, + 400382602, + 822568438, + 787125147, + 422038355, + 113326691, + 718140328, + 268292764, + 783032651, + 517884825, + 35479189, + 944057781, + 63163324, + 150928674, + 223537025, + 915418679, + 478282252, + 812868516, + 179652820, + 156745736, + 842559433, + 890400142, + 835460258, + 102642454, + 336437874, + 374840362, + 241590919, + 138497942, + 871296897, + 494769491, + 969111084, + 331841604, + 331281274, + 479256783, + 359044995, + 123894304, + 728943460, + 21169780, + 416441296, + 310762961, + 266626659, + 578540207, + 792745873, + 283886915, + 709856079, + 355357976, + 884750802, + 292463515, + 318123905, + 610712921, + 493840386, + 333691994, + 671148244, + 146589535, + 869892464, + 191850076, + 579549964, + 43475329, + 432200920, + 24292317, + 558339244, + 731656332, + 994386812, + 599595585, + 73153628, + 23808289, + 193257072, + 463418980, + 950658287, + 843689224, + 55726030, + 189286443, + 104900285, + 321100852, + 416779643, + 420983660, + 432560635, + 424511022, + 102631877, + 142954956, + 622379660, + 477373132, + 83126060, + 619590981, + 310435279, + 329029244, + 545463241, + 263895751, + 745227508, + 548394391, + 273287013, + 211182312, + 523893355, + 342134792, + 60323578, + 787960930, + 957963285, + 415894351, + 480474271, + 39937509, + 575189254, + 669374958, + 968094784, + 547552992, + 858847361, + 667452881, + 281871376, + 163826094, + 510884493, + 954650183, + 947669366, + 50296031, + 620295390, + 676469969, + 491971703, + 799707091, + 577189390, + 533890926, + 289047434, + 160130012, + 135880570, + 47611469, + 205903845, + 374156995, + 175352630, + 786663697, + 811184709, + 669071438, + 120812354, + 592516269, + 464179584, + 496219092, + 819482897, + 149826, + 834561728, + 360348495, + 415898783, + 874589754, + 272300199, + 577836254, + 733936039, + 185619139, + 258588542, + 336550260, + 330050257, + 993850159, + 895112162, + 122655187, + 638121265, + 446489750, + 217034251, + 14000894, + 471375648, + 264013044, + 633207826, + 475102954, + 731243149, + 538400443, + 674447007, + 519714318, + 132424151, + 451262994, + 581274178, + 132132220, + 868504934, + 773056353, + 292831174, + 109554198, + 218795782, + 133977113, + 764110893, + 437633544, + 753765546, + 960749520, + 492705857, + 475089306, + 125296608, + 874795965, + 910174584, + 433585047, + 683077291, + 793491455, + 480475855, + 838906714, + 315895210, + 587750029, + 624683692, + 458105748, + 368045077, + 631559501, + 55626372, + 119613622, + 518392998, + 107077433, + 580050306, + 157010649, + 452346915, + 290972855, + 797180856, + 642803651, + 78861598, + 410299541, + 676339401, + 609428236, + 529899442, + 107930697, + 896460612, + 643692798, + 685310721, + 78143919, + 305661872, + 567281944, + 355533221, + 601633797, + 731257558, + 904482032, + 621752597, + 281613384, + 975054439, + 595804854, + 133558746, + 662307231, + 408399836, + 335443417, + 292310620, + 790240786, + 923007248, + 963960720, + 143459535, + 373738661, + 770154283, + 681835186, + 685061352, + 905923434, + 364877070, + 557307237, + 64918172, + 928395802, + 417383317, + 597488685, + 501882731, + 191843314, + 669660295, + 694188187, + 488382343, + 958488595, + 570151466, + 627306890, + 843506122, + 652692384, + 951788617, + 227108822, + 270705232, + 116927678, + 214282671, + 660713160, + 737415375, + 649443440, + 105518385, + 887892388, + 121290394, + 744091652, + 202059305, + 629066638, + 15248679, + 80635262, + 10129406, + 471937663, + 675663164, + 941214445, + 568850960, + 391948828, + 974991748, + 388887006, + 591474058, + 868642298, + 760461398, + 612635114, + 410281975, + 468319238, + 242571514, + 293037455, + 901659583, + 177673801, + 157032141, + 570494763, + 951081458, + 791488299, + 607269806, + 196521820, + 13028193, + 786192772, + 666243968, + 669056077, + 134871770, + 357027376, + 270541314, + 706978469, + 191091842, + 394562, + 642474268, + 433505198, + 700652574, + 15354129, + 698273743, + 762674082, + 90624117, + 562501204, + 494702268, + 654764373, + 930310624, + 688592943, + 468379023, + 436049988, + 939204784, + 6530753, + 514825246, + 487790274, + 198797955, + 553933198, + 528620934, + 773430805, + 837755737, + 391007660, + 632532295, + 761891675, + 150092795, + 381368940, + 318991230, + 171025072, + 845562953, + 730725629, + 484730114, + 603293301, + 315529891, + 563655244, + 759901611, + 874116945, + 57938538, + 114771320, + 765461586, + 626932627, + 710921135, + 644784826, + 86042666, + 137278669, + 83361654, + 995964643, + 926456340, + 909280831, + 928452094, + 154656350, + 21134999, + 438211404, + 704898417, + 877415759, + 127540641, + 250620110, + 804887431, + 287654435, + 770356823, + 135561708, + 970622941, + 715418108, + 436001010, + 404439384, + 285331260, + 763985492, + 358583576, + 81914602, + 810188066, + 850445794, + 971868069, + 807230530, + 463848052, + 864504373, + 562647675, + 663400509, + 185958221, + 729360437, + 367263221, + 683916250, + 965886033, + 482807872, + 831468009, + 277306046, + 798406773, + 923997682, + 901009575, + 129268485, + 842744251, + 854262137, + 397322924, + 572531462, + 553275116, + 178952502, + 425000487, + 30656773, + 716222745, + 782806760, + 223738316, + 307156465, + 546301665, + 34747332, + 983207427, + 446760138, + 19063006, + 251226809, + 339004060, + 578091948, + 738293391, + 188562820, + 218720029, + 493013997, + 236525971, + 471837947, + 896092249, + 541262630, + 657866345, + 412641154, + 877499764, + 676687754, + 20946553, + 725506496, + 179760451, + 677960508, + 767526241, + 272464941, + 723208292, + 418785985, + 645692978, + 772527166, + 64512562, + 701943177, + 735147988, + 464201129, + 672096903, + 523978270, + 302739430, + 702352268, + 956226739, + 853744807, + 601800954, + 429775483, + 302195939, + 403098076, + 946103790, + 647765396, + 958815717, + 724798259, + 313844636, + 334318383, + 360680037, + 2061090, + 798117832, + 300817477, + 353877021, + 871744128, + 988669104, + 792651874, + 86512063, + 379759269, + 774950713, + 323678935, + 430910761, + 254592656, + 317173052, + 927947213, + 712193956, + 291985166, + 338105252, + 71800003, + 50341887, + 716403861, + 670889109, + 987200169, + 684733263, + 741264568, + 751010811, + 454250587, + 137178579, + 624078895, + 438595107, + 759615112, + 754699154, + 431710698, + 576281792, + 750443356, + 41483759, + 270981464, + 319460153, + 826811633, + 273976076, + 83341164, + 854777148, + 436448978, + 575354680, + 974115490, + 569844915, + 766294145, + 378962412, + 361616819, + 440680357, + 64187451, + 337382004, + 833062494, + 441846476, + 157484985, + 552415012, + 515661682, + 626058226, + 693849619, + 374053100, + 640756661, + 139050982, + 257178186, + 274742761, + 562122980, + 805007554, + 487931242, + 958571550, + 628889036, + 718537940, + 980204217, + 418184612, + 40399852, + 416859409, + 157870920, + 765425759, + 551526252, + 617064916, + 995107430, + 286895937, + 457565676, + 657249525, + 491344066, + 649811719, + 821511820, + 416599311, + 669512085, + 554766925, + 956593690, + 983458172, + 90990257, + 333150211, + 64283379, + 24469475, + 433292533, + 778359767, + 899080160, + 905192624, + 817510956, + 401406437, + 529411953, + 214099599, + 166660819, + 265658323, + 26813526, + 977312081, + 70889095, + 235613772, + 813073025, + 5618071, + 228643598, + 833240330, + 607812331, + 164983524, + 214399518, + 928440313, + 868067104, + 315385065, + 554387895, + 157948515, + 606775793, + 760770743, + 769162754, + 877587914, + 7774152, + 7435486, + 662408372, + 348924930, + 258591288, + 975976107, + 47897164, + 210586480, + 232349428, + 845800257, + 432247724, + 933767689, + 154733781, + 480545675, + 679863681, + 656975482, + 499633189, + 984350878, + 228601524, + 29922699, + 637836072, + 770639004, + 381478937, + 92169866, + 807321359, + 867416585, + 701645679, + 240185285, + 562359027, + 370303786, + 176836115, + 300201500, + 59522069, + 111006542, + 944176246, + 691163989, + 412196690, + 754263748, + 443437086, + 961809391, + 947745991, + 427954887, + 749270821, + 704944212, + 597971956, + 884659575, + 389240365, + 704854353, + 928655728, + 690567056, + 272675145, + 552333625, + 197195349, + 251867375, + 443389522, + 698191959, + 305568431, + 576399440, + 261128024, + 728895785, + 823396379, + 509847676, + 976331384, + 963180665, + 48525314, + 309623821, + 923180047, + 77199751, + 582866991, + 710144196, + 50500759, + 52743915, + 982099393, + 195620625, + 405815325, + 868401873, + 336709152, + 709687310, + 665566146, + 301508781, + 579356845, + 555495768, + 898419305, + 856607270, + 458608773, + 475966907, + 303602865, + 860265298, + 648514527, + 246234031, + 838773220, + 223639309, + 18549294, + 947052788, + 643107995, + 312196267, + 825188550, + 164820723, + 270995346, + 820904731, + 723942066, + 808953407, + 599764702, + 626516253, + 318850163, + 506742940, + 180558837, + 983897664, + 264391, + 682261908, + 528161276, + 553996973, + 672358721, + 859184329, + 671139888, + 132256043, + 418878605, + 180884989, + 255762396, + 108799393, + 216622377, + 639362489, + 320679022, + 620301200, + 817862365, + 73539363, + 309126805, + 267246959, + 228729277, + 56015486, + 735242545, + 937683125, + 514479349, + 978730922, + 426539184, + 238391222, + 568436311, + 626427868, + 685853562, + 738031463, + 983684284, + 89130836, + 728076735, + 516368709, + 120827997, + 548325659, + 324866115, + 522712735, + 62470303, + 537559197, + 557300356, + 934414758, + 387716446, + 759645631, + 770673358, + 303655540, + 75097143, + 265709865, + 159903686, + 392966307, + 829498418, + 745647466, + 749254045, + 646495089, + 763707743, + 164367566, + 680657696, + 412854443, + 564543987, + 90637367, + 476159695, + 376359552, + 656116363, + 228436955, + 308256470, + 502213541, + 381142232, + 214743447, + 924201669, + 78770513, + 35192569, + 587451154, + 129014820, + 239733475, + 85276129, + 329932595, + 282263208, + 499168227, + 230673733, + 768055604, + 695690661, + 630475731, + 220345679, + 520850288, + 355730165, + 822751393, + 119315243, + 637584096, + 804635523, + 125723704, + 993338767, + 534706595, + 626227568, + 129394665, + 933096485, + 675614175, + 528012254, + 528829764, + 440356699, + 861620640, + 800570790, + 474536658, + 572553330, + 456018997, + 770426851, + 257097265, + 120855013, + 613808747, + 186425409, + 193379232, + 777107268, + 87760798, + 172447934, + 632791583, + 794504621, + 775507241, + 568513299, + 85889541, + 94645910, + 381612925, + 339421605, + 788197974, + 87242643, + 749224336, + 702341321, + 932525404, + 692065248, + 905364761, + 469232743, + 901631336, + 157028677, + 654336264, + 754060682, + 31378041, + 433981990, + 134806524, + 450429820, + 332507924, + 965868757, + 704973519, + 578736630, + 121175574, + 217441261, + 357802894, + 416718303, + 651287470, + 271826232, + 361013289, + 515375746, + 550840777, + 575142297, + 79452488, + 194833805, + 378537188, + 478810809, + 393993587, + 352460233, + 294921782, + 235215229, + 853171295, + 241866480, + 831768803, + 172136107, + 33457120, + 474905737, + 129031101, + 567950290, + 153504067, + 338823888, + 319798907, + 170467449, + 19961707, + 628457446, + 188999691, + 72299454, + 511911967, + 741613504, + 920446432, + 305785003, + 754075144, + 88848820, + 68653229, + 850025767, + 447973432, + 509195717, + 384195112, + 350775823, + 400191910, + 189368300, + 738340611, + 29238337, + 120990980, + 739495296, + 783067611, + 506751270, + 789944625, + 499363333, + 774686812, + 568852585, + 207383033, + 146185968, + 678750209, + 84831626, + 560681006, + 66076541, + 499746387, + 588246736, + 166190490, + 277755270, + 363383669, + 699064161, + 662034583, + 578325095, + 812931644, + 739647188, + 164794106, + 443969266, + 215550455, + 981166585, + 330453478, + 724789723, + 615488304, + 453463376, + 2070371, + 932412374, + 59326196, + 830444363, + 447671647, + 88240155, + 382165641, + 123782909, + 793603213, + 394214310, + 809516842, + 746342753, + 365953881, + 715766783, + 980297287, + 945668379, + 802367388, + 620607905, + 874994999, + 334489774, + 679090361, + 526259593, + 238380034, + 631112746, + 818755364, + 817148816, + 485987029, + 211499843, + 63848296, + 828794563, + 155693687, + 655730978, + 156583225, + 30968629, + 69539646, + 541665059, + 331063865, + 820811078, + 865160957, + 787270456, + 333354266, + 253557198, + 190838252, + 725001830, + 240579638, + 258011269, + 964012313, + 702574204, + 378989479, + 189374945, + 145372992, + 131641654, + 841867535, + 658488353, + 779330400, + 544694757, + 114583305, + 866204967, + 827068725, + 100770317, + 710033869, + 768708024, + 701958239, + 746547016, + 323144478, + 882972776, + 414994744, + 514812430, + 731318627, + 40617318, + 74997752, + 850396485, + 782670477, + 405241392, + 524078426, + 526938691, + 617624754, + 797753001, + 408285259, + 764596161, + 598974966, + 205542371, + 276590592, + 125503640, + 143306851, + 727055448, + 389701112, + 713180217, + 48576593, + 91709946, + 56250850, + 944810540, + 242415272, + 919659701, + 822059745, + 743090178, + 762423598, + 380285506, + 523838421, + 853246105, + 340517917, + 740144783, + 37582462, + 9229653, + 817668189, + 516410136, + 525423270, + 652885243, + 365469500, + 108282810, + 50796708, + 772605448, + 477267927, + 304509581, + 472399243, + 390492548, + 734730768, + 834399943, + 400571697, + 795142052, + 807807303, + 797922871, + 260619428, + 454133868, + 145035139, + 356117145, + 847036660, + 853778140, + 303013438, + 611694832, + 652947404, + 552372237, + 135955387, + 294188084, + 696199456, + 211608499, + 166693975, + 720450779, + 607763608, + 283202868, + 951750590, + 613964580, + 207703526, + 388212826, + 348259036, + 890213780, + 246383242, + 757050714, + 830807191, + 740006335, + 613084832, + 794458747, + 818208460, + 447915125, + 473442687, + 384057193, + 910066830, + 998487408, + 69560391, + 56847170, + 643190245, + 747077656, + 332447026, + 94075813, + 561271042, + 765222756, + 330595912, + 241283819, + 750696172, + 833877887, + 341347216, + 589373837, + 447747922, + 466719938, + 286501838, + 415157405, + 654323175, + 339406409, + 694699051, + 740171585, + 340701794, + 341947345, + 500777718, + 267610730, + 919930709, + 436667296, + 24737943, + 167094743, + 640102068, + 246259531, + 573000117, + 315299327, + 536261878, + 813573916, + 65177949, + 950279972, + 820455868, + 11599820, + 435261814, + 716812237, + 956836295, + 323568640, + 241366397, + 963495805, + 127701176, + 762541479, + 615028171, + 752788501, + 823037906, + 535372959, + 385635106, + 941936765, + 318492717, + 906391237, + 785422647, + 518134527, + 787851504, + 409102412, + 39661327, + 893090327, + 493629644, + 393201140, + 618250836, + 674692266, + 388949077, + 357859741, + 673349140, + 130821281, + 552431869, + 682941580, + 776818990, + 830456594, + 571540892, + 557365895, + 271083551, + 569902777, + 295687509, + 421540897, + 412008793, + 838523779, + 390644604, + 326196112, + 922133105, + 768081750, + 891832047, + 479048029, + 663935615, + 227745053, + 220025048, + 269045687, + 353428895, + 631663339, + 114347252, + 916950203, + 264040959, + 30253368, + 346399737, + 548830616, + 496868496, + 552711987, + 116460721, + 418887541, + 344223934, + 153831484, + 710695126, + 71384069, + 180529339, + 461483144, + 940538449, + 973861150, + 255801366, + 59765487, + 864272275, + 740423831, + 42050439, + 951967505, + 504112793, + 47731860, + 176674232, + 991339871, + 266543875, + 339820313, + 731818878, + 594834983, + 4232530, + 542317995, + 359657200, + 898200644, + 636109328, + 968503921, + 875234670, + 192146770, + 442374890, + 648519369, + 755991595, + 293296620, + 895802621, + 224497175, + 917251986, + 82018717, + 793558114, + 178713476, + 578505896, + 944636983, + 72635932, + 558066699, + 691552885, + 114797461, + 206504307, + 469539168, + 541946627, + 173464713, + 432691088, + 706226817, + 142594280, + 415117581, + 804383853, + 277002786, + 496767343, + 49241848, + 738120105, + 660826332, + 489747157, + 619556203, + 693661936, + 982104718, + 301246684, + 67291404, + 145435718, + 347119917, + 75356399, + 826771875, + 736754953, + 909241257, + 482099288, + 302243390, + 514153785, + 930001605, + 452239107, + 740712008, + 696123907, + 688364320, + 622207635, + 224353619, + 185647226, + 320094234, + 871637084, + 836218802, + 592431428, + 976226949, + 254769093, + 840691108, + 939013398, + 757170812, + 49920838, + 461621542, + 473655048, + 946427983, + 945983065, + 190769907, + 501401760, + 798174723, + 601062662, + 718030365, + 197453090, + 121162742, + 737954930, + 8834615, + 66246298, + 960354104, + 669008526, + 277585720, + 84372118, + 268150528, + 736902085, + 627948284, + 949265932, + 692552235, + 443631945, + 426175261, + 406093711, + 227739831, + 569276031, + 603168124, + 847264773, + 46771623, + 440960572, + 146935725, + 47566620, + 974152036, + 116642530, + 482593735, + 392417265, + 882243715, + 615450320, + 414988271, + 2683349, + 206210938, + 252986277, + 971556828, + 450765916, + 94338953, + 783564849, + 45777331, + 314889374, + 993437809, + 444149648, + 863650596, + 259688741, + 54993000, + 511577082, + 641380806, + 485724663, + 844553945, + 35047955, + 161530303, + 197715767, + 701642456, + 361862667, + 275478806, + 411810330, + 373094668, + 197505874, + 76494714, + 394072504, + 775781758, + 718173692, + 691782715, + 97774777, + 503721370, + 635471307, + 800040117, + 125790047, + 441886482, + 439997603, + 362781875, + 560173444, + 226771493, + 357597773, + 158841958, + 775624462, + 850108805, + 138028998, + 872086520, + 411647263, + 189855650, + 921366847, + 125794398, + 979671301, + 568808402, + 514003137, + 503436421, + 763545728, + 487985427, + 121016482, + 971008275, + 998457882, + 463098070, + 797622187, + 388014247, + 120092830, + 13125268, + 742198069, + 900895696, + 567201212, + 802758118, + 36535572, + 264848536, + 229680934, + 903770651, + 934678501, + 787889262, + 922721447, + 696521730, + 471723727, + 580540076, + 98095217, + 12510537, + 734070487, + 946148440, + 971816548, + 263447197, + 403698583, + 855959995, + 622098730, + 70828604, + 61663901, + 213068000, + 778597684, + 724305004, + 372135378, + 354375894, + 132322774, + 902552158, + 644293518, + 961820461, + 199356169, + 698057494, + 71784317, + 837261961, + 345091016, + 140572634, + 619753287, + 532818259, + 334113120, + 529006482, + 726758966, + 4930115, + 370581302, + 476595119, + 184647591, + 454973618, + 699367749, + 729145937, + 153796152, + 620393255, + 587707207, + 583575290, + 386277986, + 486557842, + 427519961, + 240978444, + 802993269, + 250205064, + 483008330, + 597950406, + 747600557, + 325363856, + 714091827, + 659075588, + 976147334, + 285391461, + 598305690, + 714577857, + 319803889, + 254409672, + 167272662, + 384718163, + 266435481, + 677935561, + 607185653, + 728451121, + 865092691, + 656317974, + 745906660, + 926807883, + 90386292, + 187512202, + 524904460, + 673427954, + 368868331, + 943167273, + 210785892, + 16896793, + 658987006, + 994453986, + 760808677, + 173299866, + 931638751, + 965249567, + 39605288, + 564994334, + 368975951, + 267391626, + 403789301, + 866065923, + 263576992, + 945671397, + 177687995, + 800503228, + 210543073, + 498365183, + 279793182, + 475207258, + 632634543, + 725194197, + 357223271, + 731568704, + 143836833, + 576631554, + 689795641, + 919662204, + 183655, + 316612381, + 46825941, + 322355614, + 34488804, + 482706850, + 90341229, + 809681891, + 600647741, + 53069606, + 145608798, + 44125849, + 313787926, + 615459747, + 779761832, + 281126837, + 98615617, + 448752259, + 664304567, + 463324195, + 859643897, + 98720709, + 977529450, + 571637553, + 573658838, + 948372675, + 417078080, + 879461418, + 191514336, + 447941796, + 975539007, + 169235073, + 487596182, + 36637418, + 332545134, + 298746872, + 402930566, + 994736910, + 283072560, + 400730249, + 761438065, + 644786584, + 29655238, + 617835034, + 397623969, + 754305774, + 273669566, + 276170216, + 269366314, + 525406669, + 174868278, + 344346251, + 44290543, + 499417720, + 273840589, + 195390389, + 771829551, + 853074494, + 834188073, + 318726513, + 890754068, + 819911938, + 507856531, + 394697742, + 253473821, + 840456037, + 682395194, + 109257200, + 201434541, + 675903596, + 132318071, + 569238123, + 401514312, + 237857056, + 47899593, + 530329021, + 66587919, + 607980289, + 943743783, + 660647622, + 125240556, + 833033359, + 20879481, + 316011758, + 282379425, + 733202365, + 956598237, + 223601523, + 987388331, + 478723707, + 198120656, + 134684419, + 54608638, + 837211336, + 616688894, + 60492843, + 622942063, + 494984705, + 419285621, + 120903664, + 814639775, + 367083861, + 705417247, + 517335123, + 812935726, + 86328936, + 854663334, + 719744044, + 977314129, + 534515935, + 334044293, + 904008788, + 636513550, + 684535717, + 987146489, + 790770855, + 183697750, + 60642934, + 473029999, + 925098145, + 942727397, + 830620864, + 628535409, + 365495442, + 23579478, + 938238478, + 37037127, + 482169318, + 812731234, + 750484607, + 424072242, + 587798654, + 497045282, + 436932020, + 596448266, + 397906922, + 467677202, + 94204822, + 157598642, + 509154619, + 754158848, + 533615797, + 411708975, + 970909222, + 404118645, + 90424160, + 53802023, + 407497094, + 193588183, + 264813407, + 905535223, + 142837909, + 702969027, + 302159885, + 71492777, + 121249047, + 171403688, + 738635662, + 91550264, + 114041934, + 380660620, + 453137966, + 854282160, + 616102928, + 828721970, + 82620218, + 79293304, + 667289657, + 160763354, + 242836965, + 664396273, + 645312548, + 664565492, + 25299864, + 838788602, + 769948258, + 522503714, + 241285854, + 709512925, + 562834801, + 408634499, + 219600070, + 640090758, + 719672645, + 925737998, + 603961365, + 306362643, + 998369759, + 76984956, + 180112670, + 711717936, + 506822425, + 644197780, + 26695985, + 736398046, + 13136100, + 871344448, + 78055788, + 858357727, + 309141568, + 773209331, + 214395283, + 335746968, + 632114367, + 276424147, + 584174063, + 350709, + 520808353, + 255093840, + 540916492, + 32953454, + 989696566, + 305986684, + 307110152, + 75617259, + 999326356, + 924394448, + 698083305, + 58151588, + 313331750, + 262090258, + 346811462, + 493143959, + 258087748, + 86988624, + 543913712, + 511797185, + 478061604, + 790614686, + 958231295, + 304918581, + 506503807, + 810240101, + 328398092, + 751508354, + 364786931, + 875842830, + 166792095, + 797655638, + 366956300, + 15539360, + 85122050, + 901107652, + 822247340, + 43025268, + 929034529, + 821695403, + 308031946, + 383380379, + 660085896, + 824968768, + 171764404, + 254548074, + 204692456, + 895247031, + 873779609, + 636622724, + 343888054, + 126004981, + 106935807, + 722520912, + 176677929, + 133935323, + 989702312, + 482032411, + 671433588, + 682530274, + 135313599, + 236700108, + 169560702, + 123823956, + 270070055, + 276472440, + 596874386, + 470835763, + 717099065, + 832199412, + 953909678, + 168447365, + 55892528, + 8845059, + 407620328, + 17936881, + 633218755, + 708821998, + 254034632, + 528085081, + 935365319, + 667738721, + 944139384, + 488145296, + 935738349, + 738989535, + 753761734, + 403003964, + 91286555, + 385358154, + 38749192, + 712210471, + 387212941, + 403579589, + 356141729, + 45881281, + 171984323, + 423765853, + 768586751, + 805192543, + 673377760, + 112401658, + 808373577, + 393081051, + 122283982, + 608559886, + 509505249, + 717361317, + 189959413, + 441695428, + 931245005, + 236317038, + 645179480, + 262664709, + 459901875, + 91090898, + 972824469, + 699220199, + 777212786, + 326820901, + 171464291, + 478966832, + 918927359, + 786456261, + 77971979, + 958948872, + 594163724, + 924473700, + 70660433, + 146364205, + 226797256, + 832094353, + 341955006, + 626646471, + 577369989, + 93326990, + 843001495, + 705656119, + 960002666, + 4356773, + 142809875, + 514159560, + 889593985, + 923753210, + 802897926, + 241764091, + 262905339, + 131674907, + 224035980, + 830177297, + 146305020, + 477767685, + 719967443, + 747045233, + 65666992, + 768195689, + 101148134, + 891421381, + 851717209, + 469088910, + 463941425, + 144432347, + 474336389, + 676615632, + 390917048, + 605723383, + 736168898, + 533814977, + 4794081, + 531811175, + 925364631, + 311467691, + 603357470, + 608856729, + 40693242, + 246151749, + 237233762, + 525268648, + 124349391, + 522733058, + 666762623, + 188553158, + 851878623, + 90073999, + 132710109, + 587906991, + 677829666, + 273051604, + 92364039, + 693148997, + 134060127, + 244953437, + 638068087, + 958503460, + 922497660, + 655065820, + 406629054, + 865140342, + 840974530, + 702276776, + 965557832, + 928280891, + 973110827, + 33447554, + 452905811, + 244362347, + 901501694, + 103453403, + 201970632, + 798508057, + 627789079, + 51871658, + 533425628, + 649202399, + 797043496, + 207882677, + 403358293, + 197260099, + 970025602, + 711565081, + 461638717, + 832407164, + 777578330, + 386163809, + 116738539, + 798073860, + 863808317, + 195663879, + 126580199, + 561751114, + 854953612, + 366993396, + 765702162, + 808450406, + 759572885, + 866339587, + 317298913, + 675289622, + 692647873, + 813044271, + 687063064, + 920108553, + 715129660, + 209941279, + 761292060, + 320233262, + 459045570, + 802653486, + 280565996, + 276945184, + 56896188, + 167244773, + 725350932, + 406158200, + 296397794, + 380666997, + 439687820, + 800992687, + 476737244, + 880157971, + 533060156, + 290349059, + 548966754, + 781801049, + 838142882, + 207005401, + 630918026, + 112355534, + 519450726, + 367473778, + 66613053, + 116230427, + 566184635, + 531975831, + 88654218, + 853222831, + 4396776, + 726565057, + 357806781, + 422148525, + 306591792, + 940264374, + 592055167, + 191720836, + 779923854, + 286151146, + 711343862, + 868508382, + 62748734, + 128986615, + 817885888, + 147384863, + 83944398, + 217487609, + 892110200, + 765627041, + 524950352, + 893703810, + 337177738, + 912328193, + 747537195, + 71405405, + 18453709, + 195780796, + 653911058, + 201681830, + 758887299, + 888212776, + 175779142, + 296353428, + 575424861, + 631417042, + 555263824, + 677847692, + 698120073, + 498265003, + 887937440, + 430544801, + 251662914, + 817557584, + 559165194, + 363749127, + 299846644, + 664399656, + 336631637, + 142555285, + 965530742, + 905167468, + 952188964, + 180611355, + 417498642, + 455031791, + 61971192, + 728565565, + 586993971, + 510700007, + 618589664, + 285241967, + 97291780, + 632816648, + 618311458, + 657632391, + 116599784, + 5886959, + 917146117, + 714831549, + 755982023, + 67413985, + 63826797, + 657879185, + 267171024, + 207887739, + 415794080, + 565934381, + 866043552, + 137471223, + 427503863, + 884002504, + 249689425, + 909848372, + 141956628, + 404575354, + 559918570, + 332641892, + 440201103, + 66028444, + 273313981, + 284013482, + 510839458, + 658268332, + 615341922, + 894046904, + 141014936, + 871817922, + 281786552, + 444243681, + 844840386, + 889945049, + 257157160, + 228010294, + 136163350, + 874200220, + 506571701, + 777117411, + 737180102, + 96122604, + 662876096, + 593652964, + 979885136, + 184589576, + 202746214, + 161682401, + 255958520, + 527477664, + 241528992, + 915915394, + 335020572, + 442397426, + 328583980, + 216931542, + 22998540, + 358662633, + 301314580, + 640964851, + 218625097, + 745960127, + 580122997, + 757515914, + 261046391, + 846235486, + 430115019, + 813461000, + 820463463, + 1929040, + 843145538, + 663116857, + 843096378, + 824694590, + 970130625, + 942720485, + 350046942, + 141846927, + 328799506, + 217513224, + 86446562, + 364170264, + 345974801, + 33842698, + 120880123, + 138611725, + 548355287, + 558381316, + 919355445, + 981247239, + 312592235, + 221909417, + 693788186, + 149252587, + 910924303, + 225485747, + 574624352, + 878627345, + 594284807, + 871200859, + 104810785, + 122788955, + 946440856, + 543083580, + 676691983, + 886900657, + 223278693, + 268268923, + 293530436, + 561399405, + 891024856, + 474285982, + 764383440, + 925449240, + 702031161, + 567167411, + 591441162, + 455813745, + 196450732, + 13926343, + 646321674, + 663825397, + 306364896, + 127689541, + 378151221, + 67498553, + 405065211, + 997107842, + 865901382, + 168009018, + 125521549, + 363443057, + 649037047, + 192904063, + 436171489, + 783865448, + 874487710, + 806586006, + 362022091, + 477481399, + 220411427, + 758943254, + 204097643, + 501293845, + 941281494, + 280366944, + 708077402, + 430490432, + 349050704, + 762252662, + 936373141, + 60953542, + 695036784, + 425258089, + 688105496, + 706092706, + 278381003, + 968195893, + 169161628, + 647738606, + 622415018, + 860527044, + 689307198, + 557912272, + 82363822, + 684651647, + 922045945, + 3862342, + 886320864, + 521905316, + 192004635, + 353312548, + 413878723, + 373106662, + 796255747, + 233625552, + 717664035, + 869043114, + 188544811, + 162106928, + 667043603, + 20382320, + 644230476, + 460580417, + 7100485, + 624656868, + 709442995, + 871850262, + 146332367, + 789725442, + 454983443, + 711706781, + 627361186, + 859000991, + 538990216, + 775780173, + 31338284, + 153640275, + 441116054, + 943769232, + 277869641, + 797112129, + 933275628, + 855948279, + 42060805, + 689069488, + 629900443, + 717193998, + 436560729, + 448343139, + 10312445, + 864818015, + 95866923, + 832918554, + 736146622, + 880846200, + 277176931, + 163201971, + 857946602, + 747288259, + 855504302, + 670845777, + 928539720, + 570843428, + 665374297, + 111809093, + 415956067, + 163814542, + 118258118, + 111308151, + 160314365, + 752782619, + 686460220, + 175198008, + 312550097, + 679103015, + 186852356, + 435196326, + 46354963, + 388856336, + 964103187, + 861256268, + 50518654, + 86269283, + 115626389, + 806785080, + 301047035, + 383844971, + 125947306, + 899279409, + 945307423, + 5739043, + 883488201, + 534802403, + 775215354, + 63966579, + 599192849, + 788857250, + 360694362, + 794794544, + 136291099, + 976592327, + 691148717, + 728791559, + 202117875, + 682638723, + 856174395, + 841618967, + 35160986, + 848298868, + 430247350, + 208521078, + 548246469, + 129406116, + 39217090, + 746090086, + 725115926, + 103270647, + 8883840, + 292323072, + 692076177, + 615438959, + 624303420, + 663273315, + 619933595, + 408635662, + 916075117, + 748977808, + 260208738, + 229202452, + 415068590, + 407693135, + 824212119, + 803779068, + 662483015, + 929718523, + 43933125, + 71579431, + 691487081, + 105926572, + 137977399, + 743229996, + 856506178, + 44452046, + 710948240, + 84072192, + 798186365, + 561456417, + 61039087, + 66028835, + 419922872, + 99459129, + 96646445, + 425212477, + 230446082, + 859032424, + 289708293, + 667894012, + 935884271, + 959190179, + 647428446, + 403882521, + 477780539, + 597692972, + 232011832, + 447977636, + 431938210, + 4958356, + 518590152, + 531601520, + 707691184, + 581006853, + 890391386, + 4494027, + 821736478, + 644106809, + 778226675, + 747937442, + 674199528, + 490845203, + 148826883, + 60878299, + 340576886, + 344476046, + 755287265, + 61609844, + 308388196, + 53430227, + 897523250, + 453373177, + 347813467, + 946351202, + 52808567, + 526427973, + 829903057, + 287693934, + 605368989, + 291086852, + 169364425, + 697700082, + 687482886, + 728527912, + 855164673, + 330022318, + 357869124, + 979284614, + 17575106, + 376222728, + 627951343, + 910844342, + 844891587, + 173732075, + 720061065, + 272081137, + 604139347, + 856671027, + 482750862, + 858270082, + 691357368, + 734033286, + 147862489, + 657680671, + 551592220, + 143938066, + 56783701, + 425904374, + 727944137, + 45130029, + 463603522, + 771993089, + 335763483, + 262988327, + 830278861, + 589300751, + 49276646, + 787053440, + 916767116, + 556477467, + 279398732, + 86106663, + 444731550, + 709853534, + 526350328, + 760982524, + 882767931, + 142955184, + 450971935, + 297860941, + 501021150, + 382902277, + 646358976, + 63758878, + 73489725, + 590401350, + 826114915, + 366459765, + 931467601, + 269945193, + 861598786, + 441548036, + 365765743, + 426482712, + 907637041, + 651891592, + 35490857, + 537273575, + 405614374, + 958181812, + 138170890, + 632810746, + 233756611, + 242083586, + 733708323, + 85435870, + 720161523, + 643205444, + 713995532, + 216158931, + 674590589, + 186430075, + 234132939, + 596572670, + 437186989, + 782376520, + 454214096, + 133505657, + 135974528, + 346277054, + 886451042, + 311146420, + 701984220, + 186825127, + 599600934, + 831773668, + 649086984, + 979636405, + 619789976, + 541792645, + 476908925, + 684555496, + 183562750, + 615882355, + 168452967, + 759690577, + 7991467, + 341650327, + 280190439, + 487628685, + 795164864, + 926196782, + 725221598, + 260580409, + 806543758, + 801519240, + 949594482, + 667694532, + 537728488, + 794869729, + 294187800, + 356856465, + 96027443, + 448514102, + 869065914, + 749458286, + 938647296, + 506385419, + 169338293, + 482241812, + 337030162, + 285224469, + 210119780, + 134560753, + 966639002, + 981903970, + 138059038, + 988035462, + 449989412, + 487097365, + 770393411, + 642576096, + 351195061, + 701573450, + 128792137, + 154216014, + 776644076, + 938029814, + 263539278, + 276786699, + 829249536, + 658936107, + 689190427, + 746552781, + 583530974, + 897984363, + 939604499, + 423592163, + 422900769, + 377777003, + 675775183, + 476157744, + 823204076, + 26893839, + 866486839, + 965882697, + 518822777, + 885230319, + 451770514, + 819720997, + 208068722, + 223562612, + 929464246, + 601004610, + 902819339, + 340679469, + 730596827, + 992290738, + 62510301, + 51232315, + 710615508, + 278866796, + 529201122, + 168855124, + 864944885, + 194161584, + 938126921, + 999633763, + 671971196, + 451027494, + 477593154, + 792830210, + 973983806, + 419323807, + 208614149, + 777264013, + 891876302, + 302133663, + 198676737, + 94880876, + 413663187, + 743564204, + 280855802, + 102105646, + 366572302, + 170953999, + 706679798, + 592197822, + 129944119, + 30213796, + 850917955, + 440431362, + 116711619, + 405628182, + 809253424, + 173544021, + 989172822, + 393185488, + 778704432, + 279666133, + 943663774, + 365594819, + 92373414, + 904010169, + 165769963, + 56277366, + 474942257, + 959990012, + 938236627, + 977037415, + 497845467, + 433487125, + 651572792, + 973982568, + 296452287, + 228844685, + 131477654, + 357424564, + 730354800, + 630195333, + 754360083, + 16227591, + 948081521, + 669733316, + 912363872, + 371536323, + 529616051, + 567860314, + 630773073, + 42020941, + 51331575, + 661883160, + 405689644, + 757104276, + 936191619, + 174639181, + 349379697, + 180326118, + 171704107, + 317250396, + 922453293, + 760434220, + 475922086, + 519988152, + 295686379, + 31840779, + 831298263, + 521700720, + 521797454, + 426961375, + 854470982, + 174593506, + 836973878, + 312393307, + 148785753, + 79419581, + 19007546, + 85226210, + 219957737, + 489842246, + 469513111, + 721906484, + 49527374, + 357363208, + 956734774, + 110052547, + 150959932, + 189994078, + 609039572, + 599003192, + 989958109, + 30925686, + 800802157, + 185859775, + 321213562, + 602033559, + 389868903, + 431075169, + 537173725, + 449838380, + 170442817, + 796979111, + 356179943, + 611627587, + 153371652, + 520944237, + 332861073, + 561736410, + 817316416, + 951051472, + 791384198, + 261432782, + 44076330, + 96816940, + 986417000, + 813922097, + 20961109, + 617167673, + 607105342, + 461653930, + 170343661, + 257252153, + 670629417, + 886951042, + 12917248, + 818205444, + 156063133, + 406238560, + 320867415, + 71357299, + 127187924, + 609181387, + 104849144, + 81351081, + 822164287, + 904314075, + 26015789, + 544027523, + 600749801, + 920984606, + 883705090, + 596416338, + 513963497, + 669582659, + 700403188, + 724491114, + 901919277, + 309716827, + 449433155, + 120280168, + 467306612, + 544882858, + 652327775, + 144824046, + 406886819, + 205802625, + 979579082, + 382194864, + 999753055, + 920521563, + 846699203, + 451548810, + 990163744, + 387166495, + 439669122, + 616544434, + 956717071, + 149689664, + 555995616, + 274816282, + 434706588, + 1924594, + 855314471, + 931822042, + 61686979, + 608468214, + 768879056, + 513829875, + 818900641, + 184992235, + 323772776, + 130705760, + 93546202, + 955335407, + 417823390, + 423260360, + 24782857, + 626618467, + 9481036, + 37301703, + 45976603, + 283588902, + 485829787, + 371404534, + 540414045, + 644500988, + 30438653, + 669998808, + 844037117, + 285191057, + 772038769, + 395379111, + 191604087, + 906340478, + 794151717, + 133324820, + 414015116, + 67516248, + 84078088, + 156993471, + 41073301, + 297957752, + 395996177, + 64195968, + 992538422, + 998904557, + 502632869, + 726863076, + 889769404, + 495778311, + 561587012, + 186141106, + 532307425, + 514673080, + 950183413, + 914704028, + 85189078, + 818016864, + 876499127, + 225703133, + 222535040, + 116629799, + 641344937, + 692079169, + 902419141, + 905395273, + 309769426, + 255570681, + 734878586, + 578485887, + 551792849, + 500391943, + 576745940, + 26767566, + 686612305, + 905608791, + 171154379, + 695487816, + 501020275, + 901867102, + 107836585, + 123326863, + 372518962, + 825875876, + 268224608, + 669062310, + 53668623, + 243026546, + 586658149, + 812725612, + 162686727, + 479697440, + 497400754, + 807608597, + 432008500, + 483846438, + 473357194, + 937755014, + 260105609, + 33350561, + 179203012, + 73729957, + 212780648, + 781095053, + 777963203, + 834635959, + 494391036, + 493720201, + 407855562, + 800451918, + 649187896, + 412115489, + 495522090, + 110403133, + 787901656, + 433678553, + 981499613, + 386016252, + 837357010, + 797119729, + 557126491, + 917643367, + 492481659, + 233081207, + 478678828, + 444774571, + 661169354, + 151809840, + 11481167, + 739448672, + 932542223, + 959838404, + 298527082, + 64014903, + 747676461, + 165701950, + 385562095, + 202473446, + 334403949, + 48553453, + 189169951, + 159834683, + 134786209, + 308356525, + 595759928, + 548242528, + 551613783, + 949871152, + 174313239, + 688364113, + 925854149, + 247796986, + 530331679, + 809182353, + 718277860, + 292661810, + 554631667, + 497799991, + 268375708, + 478591593, + 827049698, + 629913496, + 424812248, + 272810406, + 956038971, + 929745609, + 68608368, + 260691378, + 294640610, + 127404513, + 70529183, + 588961419, + 198393731, + 156527987, + 951833719, + 112340978, + 309797205, + 583838670, + 678991122, + 391726602, + 799964357, + 457044742, + 361572151, + 849508906, + 931097422, + 855871296, + 248907772, + 639137612, + 89471532, + 988442296, + 248998454, + 763452733, + 374730264, + 571923166, + 157102687, + 777175198, + 447922102, + 717456192, + 277400508, + 879039323, + 452341032, + 699247581, + 489088179, + 421035324, + 17005101, + 388046553, + 25604850, + 265164331, + 401849145, + 827138871, + 834271654, + 936073639, + 480002944, + 995703263, + 8504080, + 264129903, + 633760524, + 537390725, + 797156220, + 632996269, + 436701757, + 358128439, + 3336327, + 247841830, + 825774156, + 996158263, + 406534736, + 896789696, + 861888927, + 910781247, + 228147041, + 188755023, + 170858474, + 575890612, + 876924726, + 635569952, + 371594568, + 453828190, + 195873903, + 456658132, + 114108647, + 777723991, + 458093745, + 972589093, + 32443540, + 203519365, + 468080374, + 236739055, + 157275081, + 49441879, + 812330322, + 185596365, + 778185102, + 848631548, + 194239016, + 469350758, + 109717324, + 313025770, + 325758907, + 994315040, + 580628816, + 393257624, + 156495859, + 342723483, + 368531795, + 360467181, + 86728322, + 252402366, + 168236836, + 374297013, + 363296806, + 290448397, + 186042173, + 476450658, + 937634492, + 647193210, + 781710475, + 60810568, + 259687788, + 505673796, + 668268833, + 472533482, + 89608398, + 921551218, + 756448396, + 790064506, + 580689620, + 675872520, + 31432472, + 849400480, + 335006311, + 501224443, + 221646518, + 201418938, + 868098219, + 811115218, + 27571990, + 815866342, + 598338998, + 666597462, + 786214986, + 291885590, + 715493094, + 323456648, + 8254352, + 341235214, + 93236893, + 480577866, + 586865123, + 278484670, + 24469285, + 408982217, + 690814524, + 748461779, + 254358555, + 858934605, + 849429481, + 296566366, + 814107112, + 202515008, + 558588562, + 54538395, + 461430460, + 538694509, + 795677044, + 536131557, + 539962161, + 323907420, + 649389490, + 57450621, + 247697237, + 291236662, + 818621915, + 195676541, + 401171861, + 762449176, + 96353306, + 439936771, + 972210535, + 846754802, + 707560993, + 146696799, + 744256508, + 218435506, + 655103999, + 447134057, + 5616733, + 251014568, + 396335859, + 31388980, + 948209543, + 235355131, + 100961605, + 822740043, + 401247194, + 667866867, + 386510435, + 892882870, + 345305018, + 852891129, + 632538359, + 173259021, + 487306676, + 614856744, + 555684926, + 757261435, + 601854766, + 193904732, + 965949720, + 387458727, + 754827659, + 611589519, + 420410326, + 231888335, + 611743091, + 902493750, + 346334470, + 177261935, + 159417873, + 349652055, + 638066598, + 622879749, + 490662967, + 208779426, + 419620167, + 306412423, + 90735735, + 243752085, + 397676505, + 165691738, + 434262156, + 163200640, + 86481356, + 431590688, + 64693798, + 926465645, + 739406510, + 725697397, + 73468804, + 379476313, + 148613993, + 398334749, + 898539090, + 470336658, + 721463758, + 840913860, + 68908954, + 417575153, + 687334748, + 877362470, + 700250120, + 554016101, + 578495879, + 553696399, + 843604342, + 794195738, + 30842153, + 588374935, + 738872270, + 667307269, + 784486568, + 173386641, + 72527260, + 370614996, + 277600446, + 208045213, + 405952359, + 485479526, + 852221974, + 780315249, + 404510283, + 766775967, + 438422825, + 2365062, + 459879918, + 282654263, + 157683186, + 740913400, + 124078446, + 323872637, + 425664895, + 812446063, + 117542318, + 799332912, + 630474073, + 173204533, + 533086719, + 253930303, + 86569696, + 630480803, + 70383093, + 323666621, + 575563281, + 260001160, + 710760995, + 734475403, + 368004315, + 759378295, + 89279208, + 459003404, + 891807133, + 267918696, + 655087854, + 261306290, + 853280523, + 480544723, + 374896896, + 135246298, + 342316704, + 413391827, + 628153912, + 476315109, + 786915659, + 25313174, + 229859414, + 652276106, + 119977372, + 305292978, + 257733158, + 323241548, + 354359230, + 905718995, + 36696034, + 320452589, + 214737142, + 723813129, + 835765397, + 311161856, + 393181904, + 133342379, + 75270716, + 757946703, + 459515609, + 391871860, + 760447350, + 16189455, + 898708933, + 122572472, + 496198641, + 458305011, + 838443468, + 357311736, + 749741379, + 928394688, + 750330296, + 623411919, + 607752334, + 296084682, + 160996197, + 626820453, + 551867962, + 964074023, + 849487731, + 738233725, + 54482006, + 727864924, + 909193462, + 504453630, + 679839480, + 828674858, + 875509731, + 658590320, + 851878237, + 758673077, + 519331475, + 93082583, + 791699654, + 83691918, + 253100146, + 636608370, + 428376683, + 337782236, + 614515663, + 672403031, + 109297967, + 664463221, + 194865697, + 856550541, + 731942663, + 558457824, + 11830971, + 236850022, + 773793235, + 133280664, + 107849999, + 569615448, + 791977698, + 718085871, + 302430232, + 161820627, + 27333912, + 271820109, + 919442657, + 520578049, + 299263574, + 4801556, + 39101015, + 56110438, + 51780648, + 97448798, + 147135118, + 339259448, + 276745309, + 368567496, + 794736270, + 352388292, + 943852324, + 747754412, + 931233430, + 651599690, + 524659056, + 722253733, + 543186350, + 598793922, + 8490559, + 729423802, + 665858987, + 319183663, + 393747593, + 465307462, + 919617379, + 601263789, + 480631625, + 110221039, + 252058252, + 307882698, + 853372378, + 748904471, + 93308923, + 221782720, + 917781589, + 376008529, + 203307819, + 986592510, + 600223457, + 190185980, + 799013245, + 59494647, + 669563232, + 448129144, + 993321297, + 51582990, + 721198065, + 246669399, + 747568553, + 604147123, + 110046095, + 915993007, + 314947945, + 861603552, + 314707380, + 496671780, + 425386397, + 611147879, + 852897556, + 889005988, + 858344277, + 562569159, + 552799456, + 660550061, + 29313576, + 711296561, + 890932504, + 91466822, + 379031077, + 83253269, + 230746154, + 584557418, + 13176714, + 455441041, + 239966369, + 429460142, + 995070743, + 22437574, + 688178934, + 903567531, + 907273557, + 90604471, + 912768902, + 722745151, + 253712351, + 53427968, + 357074994, + 802672909, + 933713351, + 802383404, + 493912461, + 945108850, + 129058817, + 611485277, + 169588239, + 266972681, + 255851257, + 965679762, + 983966906, + 572600402, + 528634368, + 761532145, + 420431195, + 883570296, + 666729528, + 114854646, + 536571179, + 450842242, + 941093580, + 844053229, + 971568520, + 139419926, + 549066863, + 663300476, + 402748502, + 124629627, + 343982686, + 567646713, + 731847475, + 861758921, + 383389892, + 562266145, + 15173795, + 282042183, + 230061430, + 723117763, + 363592744, + 96856562, + 411423161, + 617301715, + 153403644, + 15231246, + 683415115, + 109789710, + 666935794, + 215240187, + 730564107, + 964863935, + 839908261, + 803930750, + 964805854, + 58042719, + 914599265, + 167435821, + 111536110, + 838949971, + 167381372, + 686119133, + 378989517, + 417711977, + 884545714, + 367003724, + 328449824, + 240640549, + 361861935, + 506572917, + 293773783, + 347765439, + 329107036, + 115582443, + 109804752, + 115171005, + 33720278, + 142622766, + 694002808, + 874608597, + 394593297, + 301154944, + 529313752, + 993714937, + 648830024, + 332611827, + 182800107, + 722186551, + 435138590, + 764124312, + 447147075, + 79607127, + 412468713, + 212696415, + 122929866, + 679997285, + 720706618, + 374997461, + 378005901, + 557795638, + 504318385, + 849399175, + 184125608, + 282666859, + 471666248, + 962619182, + 477238697, + 760618348, + 323127896, + 756643916, + 102728692, + 737327550, + 810404463, + 657937982, + 319602728, + 116602518, + 948219808, + 729972538, + 982931107, + 566016684, + 340926439, + 667746868, + 990885525, + 253186854, + 157774077, + 931261376, + 782648584, + 262853232, + 334468537, + 350539912, + 534281651, + 627121030, + 220191225, + 41687950, + 104711697, + 488746840, + 498095407, + 905070111, + 904326056, + 393297086, + 245254104, + 246244793, + 519066514, + 630917652, + 373369441, + 93169445, + 60362580, + 973529823, + 441711045, + 159636073, + 638456206, + 586092699, + 575367628, + 249793959, + 965615194, + 853066739, + 632321343, + 289924109, + 633987907, + 818877835, + 83665914, + 760260918, + 306574444, + 63882364, + 211418905, + 489154740, + 826197635, + 418233471, + 476500642, + 935229877, + 143266509, + 405910611, + 276064312, + 978903931, + 217312482, + 436365527, + 79266812, + 165988795, + 979829371, + 654266058, + 42749456, + 304075964, + 556582024, + 482185495, + 996898690, + 569635832, + 570723803, + 361749979, + 686019855, + 801568169, + 424046104, + 69907726, + 735984366, + 692220419, + 755393179, + 386925081, + 38523033, + 659261357, + 472482945, + 115185045, + 90958023, + 813265491, + 581099216, + 639385341, + 298244941, + 572061272, + 198896360, + 354616368, + 220480893, + 814905826, + 86578118, + 4856655, + 952062387, + 999679249, + 765175844, + 17177664, + 152652282, + 92874975, + 172966527, + 533659557, + 196464533, + 666813208, + 907863360, + 574853804, + 424152949, + 275718304, + 574177751, + 953510205, + 413690639, + 989791011, + 322130896, + 496959492, + 337917088, + 894090511, + 47923190, + 424259943, + 747643809, + 324500706, + 325942642, + 757363208, + 546422640, + 63290649, + 173755257, + 559881377, + 244840797, + 30604778, + 825859046, + 362943682, + 388766975, + 420245226, + 657436367, + 364418116, + 480311315, + 254422730, + 912758732, + 199294939, + 391938490, + 109957960, + 331749764, + 840578261, + 279462113, + 598821039, + 619248248, + 767469030, + 241033965, + 967464977, + 41579992, + 975250264, + 583448915, + 23202633, + 449395286, + 160902450, + 974314752, + 846711778, + 248558489, + 226487850, + 337047108, + 215184850, + 659421640, + 401446837, + 146768080, + 534833697, + 549587699, + 997838975, + 578861344, + 197858289, + 480727753, + 995551763, + 322650977, + 971741014, + 755001023, + 201458934, + 328806615, + 631831501, + 664451073, + 672748934, + 232830225, + 128771853, + 851944187, + 485157521, + 967744679, + 40430741, + 639291521, + 630443091, + 177724000, + 277761929, + 191722318, + 505147193, + 198946729, + 141402472, + 832398633, + 527178616, + 92380440, + 613108822, + 662421624, + 790637212, + 227485101, + 295907866, + 713931772, + 552270281, + 811566946, + 284378539, + 142854970, + 507546074, + 284240786, + 550281467, + 694706565, + 868546458, + 528567853, + 874582535, + 28677643, + 340486485, + 722950566, + 643434399, + 151200704, + 834123096, + 810561891, + 114920098, + 864710911, + 162657436, + 164566062, + 797576586, + 281785639, + 747264524, + 585112173, + 354890963, + 63487789, + 666912142, + 684735160, + 835655543, + 221565647, + 945081758, + 537583104, + 58467591, + 533393285, + 373937724, + 106072202, + 875676168, + 690387905, + 811376241, + 777190141, + 659364489, + 412134714, + 793074028, + 374157065, + 210752890, + 570999413, + 495150125, + 424319408, + 781064738, + 76833071, + 702409455, + 154325053, + 233193189, + 71192768, + 790492665, + 279226868, + 836380957, + 5143184, + 835996497, + 476789215, + 237092719, + 742682985, + 394198343, + 120369276, + 335413082, + 179016836, + 965999255, + 678108625, + 109735336, + 900174654, + 167614707, + 365268944, + 390655378, + 571300807, + 790518145, + 398116329, + 793151366, + 136837804, + 2539670, + 147341650, + 416562993, + 44864510, + 131744850, + 267558041, + 674367660, + 898168501, + 157494938, + 581623540, + 249079800, + 273858269, + 417273889, + 625227462, + 353089, + 857770395, + 726937797, + 216741989, + 238832234, + 436968130, + 407604164, + 122463840, + 482116536, + 483602711, + 404656743, + 323952971, + 481005288, + 496385340, + 979183065, + 861894618, + 995458091, + 970649044, + 275662331, + 983886550, + 41320826, + 342811871, + 427044739, + 577265462, + 410945687, + 532312653, + 770968055, + 490244567, + 794443441, + 826358894, + 345609561, + 635292190, + 713870317, + 499001760, + 579501478, + 638104456, + 341564774, + 633034598, + 752855151, + 85678095, + 529588502, + 10100856, + 309648888, + 725387929, + 336870946, + 94914952, + 304249472, + 211889663, + 560024652, + 454470939, + 745570773, + 534534199, + 945861577, + 187721572, + 257954248, + 165249373, + 195168303, + 606995773, + 575495870, + 814430519, + 273645864, + 516094514, + 525442448, + 701695942, + 498009464, + 405380689, + 999063644, + 877400182, + 140525674, + 6116395, + 410137941, + 926971301, + 510607761, + 531659697, + 149457004, + 826394210, + 264927657, + 604135198, + 161267176, + 683083843, + 603701197, + 907249112, + 920610534, + 306211601, + 325474087, + 678061948, + 483330124, + 613940116, + 357458639, + 985490872, + 647893622, + 513796557, + 987888572, + 477563751, + 392956387, + 864785345, + 110883112, + 494320592, + 327601745, + 33436060, + 760757415, + 36183590, + 461786416, + 11824510, + 897802472, + 911992973, + 228262802, + 478354186, + 48744581, + 501092903, + 57546371, + 878976262, + 199405253, + 262487868, + 806299246, + 485919334, + 748092042, + 245997320, + 638973030, + 981681293, + 816162859, + 561979040, + 223198165, + 723279015, + 996147735, + 200535839, + 645811325, + 881492637, + 205874295, + 732100467, + 608737003, + 127922269, + 933548219, + 527307475, + 222015059, + 454609427, + 535657962, + 142679965, + 454466340, + 739343317, + 795715177, + 872398393, + 356088380, + 368303084, + 696883524, + 911196989, + 520359986, + 566307915, + 586804794, + 706497836, + 874759310, + 194658946, + 210324286, + 938463865, + 418483162, + 850381310, + 293764716, + 135066259, + 899007020, + 985807408, + 269025459, + 937837609, + 762588544, + 81379959, + 756439941, + 263900159, + 25354017, + 878839173, + 976323072, + 559111453, + 803064739, + 413216585, + 197622124, + 484867221, + 137564193, + 52563777, + 901359495, + 462455561, + 971517174, + 335661816, + 828351707, + 804670910, + 714673714, + 505229740, + 241061348, + 465895190, + 374455211, + 440322140, + 585459569, + 193811358, + 423168760, + 616930952, + 29633798, + 337470654, + 469838703, + 600181295, + 157268165, + 902319721, + 364327090, + 571596292, + 729321032, + 137182769, + 940349493, + 312124088, + 717873887, + 759584487, + 174928910, + 459751429, + 284836863, + 660153341, + 402502185, + 718989633, + 304090911, + 388129052, + 553952937, + 987503338, + 117236730, + 192051963, + 256595971, + 918154677, + 608611011, + 347168386, + 955704595, + 824710280, + 276670098, + 476282714, + 660446618, + 494853790, + 327045619, + 235541121, + 490738199, + 576876767, + 97793294, + 33138323, + 866595552, + 273824802, + 895058905, + 716463359, + 862169038, + 985758238, + 312354863, + 747915281, + 91788771, + 933204631, + 17231173, + 753994836, + 288591600, + 247807724, + 511578078, + 224093151, + 903932302, + 142576964, + 907250457, + 790494300, + 569351541, + 210649965, + 174955459, + 841344060, + 342196597, + 498596929, + 469907766, + 333100332, + 765755906, + 39944125, + 501541950, + 242082036, + 631996322, + 721872045, + 602511069, + 807489048, + 932539475, + 658007438, + 842895932, + 144365086, + 641654969, + 814353546, + 493788602, + 69524031, + 43692549, + 602613862, + 251333769, + 416630186, + 401530146, + 494413731, + 632246965, + 778168788, + 563663822, + 536143137, + 232964164, + 40704988, + 577588069, + 574158631, + 355056844, + 658465557, + 866873042, + 544064421, + 156834494, + 432510854, + 211764753, + 697423177, + 221304505, + 249870172, + 487919191, + 306717309, + 352776278, + 286854543, + 112222299, + 7678598, + 962738115, + 763662429, + 592517888, + 744245611, + 927649239, + 949403202, + 914001446, + 958261884, + 667800976, + 143443008, + 843388369, + 513656859, + 699608003, + 806214488, + 98923696, + 662724546, + 700463092, + 452472977, + 36915907, + 244942945, + 554941631, + 103236428, + 939879187, + 858696270, + 347292830, + 940043604, + 585234113, + 696979934, + 5028311, + 569948107, + 155267758, + 529287685, + 338440333, + 924120993, + 167535435, + 922211684, + 288998382, + 836954318, + 797236629, + 188948750, + 766600862, + 737750890, + 624708519, + 92443897, + 969216546, + 48858999, + 949185252, + 901755060, + 721072478, + 435306888, + 307731289, + 225062143, + 312258464, + 459195177, + 38939143, + 313806817, + 209034837, + 819052713, + 784890227, + 141083609, + 678630054, + 954448092, + 73234506, + 887917544, + 597204429, + 478052826, + 273287481, + 101191426, + 364897194, + 183627390, + 110499547, + 787366545, + 60270623, + 215616221, + 288587541, + 69755785, + 591889681, + 721710022, + 474308352, + 671655590, + 576798588, + 234762207, + 96625968, + 340445625, + 630413609, + 162212395, + 703744310, + 416201914, + 715820575, + 586037474, + 261936697, + 600386023, + 815367015, + 20243328, + 481933621, + 708889533, + 515033833, + 487788901, + 277751327, + 191888497, + 339866473, + 762888236, + 895312917, + 802821383, + 224401700, + 394955007, + 475106538, + 230040019, + 416061000, + 927990313, + 201367556, + 179189955, + 538699097, + 658186008, + 454890854, + 260467976, + 60625401, + 116745592, + 17997513, + 950099718, + 417547913, + 437758919, + 492965688, + 560065527, + 806777321, + 435825907, + 916345026, + 239518910, + 894430644, + 523734298, + 869617410, + 187234156, + 129793708, + 691746626, + 562938162, + 645709093, + 452641932, + 840341683, + 666906824, + 702964060, + 759976506, + 177978132, + 983387243, + 820661967, + 239886706, + 689033607, + 928818317, + 511201727, + 203160376, + 474274569, + 228160881, + 831176496, + 931932301, + 345935567, + 378177276, + 13174572, + 218757031, + 233842305, + 706313317, + 977540191, + 801899578, + 150980316, + 856493202, + 633536251, + 661130236, + 616993517, + 553355039, + 924548554, + 411061749, + 510990859, + 694808223, + 39385891, + 940517284, + 620438054, + 282950474, + 858920540, + 497910454, + 550393908, + 319960062, + 980797171, + 381359553, + 136069775, + 179414143, + 480821233, + 392796781, + 636368406, + 942564317, + 539943987, + 44099157, + 243761740, + 424812652, + 151864445, + 927134333, + 271921299, + 968340300, + 454296805, + 121666590, + 496124853, + 420442184, + 77065870, + 658623634, + 271385210, + 858709383, + 180223597, + 285229390, + 129081555, + 514001627, + 88921492, + 177260463, + 27211200, + 806007861, + 981988127, + 719913879, + 810402582, + 32292516, + 852386845, + 684707854, + 760457669, + 905112294, + 776673992, + 338539687, + 759580947, + 745798909, + 289126224, + 268362470, + 930223510, + 584991974, + 664511688, + 664596757, + 723722168, + 739522285, + 128422668, + 404198898, + 591480380, + 2880542, + 119425937, + 323628766, + 445596392, + 337461989, + 355477886, + 487660129, + 839656705, + 285008179, + 557856358, + 767310535, + 851729006, + 141128288, + 809353827, + 781131834, + 537360544, + 244268598, + 856795748, + 319278387, + 978893083, + 61029908, + 224189090, + 109978629, + 307991966, + 104220720, + 739006549, + 621869907, + 588814043, + 810126001, + 35628041, + 493641954, + 133127634, + 671678650, + 536373032, + 184428139, + 173928902, + 252037154, + 339153114, + 896957731, + 615249212, + 726699021, + 587583945, + 117743722, + 746897794, + 146246663, + 160056113, + 276634470, + 851717117, + 618851, + 98652353, + 77493932, + 516504581, + 94112448, + 677966037, + 978442920, + 917221487, + 228593946, + 386184340, + 118443591, + 375593961, + 957961311, + 1437858, + 740036311, + 583476035, + 50699495, + 230387452, + 12515103, + 24706690, + 396537374, + 303411603, + 716178286, + 349925975, + 456919213, + 99111026, + 960903580, + 443505518, + 185957043, + 991773047, + 310477902, + 907271083, + 15505633, + 372369036, + 838405592, + 862919932, + 186225874, + 46331009, + 897513637, + 568915175, + 325776551, + 858724419, + 535905283, + 773447142, + 37705172, + 287977969, + 751000538, + 567983078, + 487950801, + 422159659, + 424650368, + 640043773, + 538881721, + 269721246, + 261224664, + 677888488, + 491855487, + 412243291, + 270202924, + 558039042, + 864475926, + 784879337, + 993215045, + 913884277, + 836038613, + 707237122, + 925524276, + 186799349, + 47619720, + 366946396, + 291401517, + 684287779, + 725367828, + 731742623, + 82243475, + 205424073, + 359622053, + 148553983, + 936464576, + 1098689, + 380716709, + 378033389, + 584600222, + 396683529, + 985411268, + 854102224, + 641087499, + 36635607, + 669942704, + 117497428, + 443843639, + 699630270, + 20303357, + 605384525, + 936333738, + 319613328, + 216796463, + 71243985, + 59200569, + 325823903, + 244079104, + 94208773, + 130883823, + 805617115, + 53964385, + 368589820, + 651526398, + 610501991, + 681619336, + 181734832, + 416436383, + 915878567, + 874044478, + 729702324, + 787210389, + 511660626, + 466465683, + 113886202, + 397586408, + 797531776, + 648208849, + 728774458, + 374298099, + 85852925, + 638734278, + 750819466, + 200121723, + 807606499, + 238006541, + 749238872, + 136182526, + 763232831, + 267391200, + 270134859, + 340087546, + 565118491, + 884455051, + 833739397, + 100418947, + 817002980, + 474533047, + 676434764, + 267917440, + 703437346, + 703467485, + 308875632, + 132849841, + 637936875, + 14181357, + 29987693, + 180663210, + 608355256, + 237449539, + 83531966, + 298073011, + 525757374, + 604600660, + 476953818, + 147204796, + 309967479, + 826587509, + 9086469, + 984511323, + 721871330, + 906842313, + 809650448, + 609996470, + 36990439, + 803739209, + 512837785, + 415887381, + 900783914, + 358684257, + 514751889, + 183209872, + 21234562, + 385660424, + 480144446, + 558064465, + 510778989, + 174792593, + 264334668, + 856458220, + 935049673, + 443915509, + 951866318, + 664583058, + 744511156, + 847910721, + 824484073, + 330715796, + 923758850, + 55828758, + 108607391, + 839835935, + 925367290, + 411251887, + 55210749, + 440041103, + 989524270, + 888501194, + 625274090, + 316082839, + 46972852, + 434252517, + 898248640, + 700684603, + 885228564, + 368694975, + 121045111, + 777125535, + 898111360, + 692743907, + 448928843, + 768007627, + 348005504, + 887334858, + 936415761, + 339272225, + 535158982, + 956689663, + 780509769, + 808034045, + 499737629, + 892827683, + 488180082, + 555374544, + 496153914, + 654375306, + 48295924, + 156417973, + 455910670, + 530273261, + 590002094, + 875016621, + 927281809, + 517893901, + 601780039, + 296517546, + 768006117, + 748775812, + 875267429, + 896470491, + 93185076, + 722494489, + 653128012, + 340280627, + 705861341, + 977478912, + 512912195, + 726075690, + 571018123, + 645744775, + 350822496, + 749410761, + 610472518, + 851631353, + 138631445, + 333581651, + 850443766, + 198372728, + 344790137, + 604446814, + 65710161, + 417134049, + 750033273, + 37139437, + 44176111, + 981815447, + 302324743, + 220372398, + 875964815, + 582566028, + 966643287, + 373080434, + 939211651, + 736334842, + 40949669, + 302487963, + 624056101, + 404109380, + 539118036, + 855270666, + 341220053, + 411211944, + 634489140, + 723842173, + 727441754, + 313747582, + 857389241, + 313742185, + 105577620, + 267064832, + 907743407, + 565542217, + 522338688, + 990157842, + 949504855, + 401282858, + 68463666, + 355543899, + 649978993, + 256137682, + 825723459, + 803158935, + 912416932, + 863092670, + 789926902, + 225427715, + 501547264, + 468644318, + 165539390, + 217358812, + 824820456, + 944572216, + 212174546, + 89493573, + 462367199, + 491164930, + 301848559, + 787231084, + 650722612, + 46049897, + 352007546, + 852788767, + 340276454, + 943637168, + 864666873, + 556910286, + 956013133, + 217531078, + 980394246, + 166473930, + 281393931, + 945519808, + 885157041, + 11861436, + 134575889, + 626526530, + 778240402, + 775207440, + 328132011, + 829723298, + 23066448, + 205253267, + 698082411, + 492404285, + 160369868, + 354817921, + 814598522, + 381584360, + 465639554, + 289902284, + 744489193, + 338181246, + 719767604, + 573314583, + 337021764, + 463563487, + 90784936, + 895513103, + 58409912, + 469135882, + 323784003, + 542359488, + 971972260, + 218262155, + 564512939, + 752878007, + 143002295, + 960071148, + 860418237, + 349016289, + 4388370, + 162147717, + 684784604, + 489860987, + 102599577, + 437727979, + 457568935, + 955121200, + 588419436, + 259141549, + 332716, + 492587822, + 747979184, + 318665488, + 228987526, + 105236998, + 197231672, + 351617291, + 959259748, + 741403502, + 176502269, + 952156011, + 406554277, + 252476480, + 944904677, + 101267021, + 786336679, + 674562742, + 242784304, + 495116047, + 361367816, + 220689501, + 218253452, + 246101813, + 749345920, + 722397722, + 160811903, + 57292793, + 961934566, + 882084260, + 663082460, + 390016552, + 520002104, + 102410022, + 41742954, + 696768254, + 910099074, + 874563218, + 840237424, + 131929166, + 905105487, + 331480514, + 558121571, + 768482517, + 873071426, + 682799516, + 534008870, + 827714146, + 778494456, + 386017605, + 551372532, + 869503131, + 857592387, + 435976563, + 191474826, + 325193834, + 727787966, + 107651600, + 125561084, + 410777474, + 352104142, + 155392630, + 649671596, + 307278536, + 391888965, + 177006913, + 641932381, + 869943628, + 711973151, + 430627776, + 404986977, + 953659476, + 970691398, + 178723365, + 192311034, + 273563836, + 208253301, + 292329925, + 489761656, + 278992191, + 654909761, + 579258214, + 174499229, + 163210971, + 593375104, + 190773194, + 517849999, + 99289257, + 99554951, + 789211939, + 596446657, + 411365930, + 810029279, + 893545475, + 642714048, + 562240688, + 46094743, + 444755263, + 670176910, + 413725557, + 463480103, + 675096037, + 23503169, + 397331272, + 685443593, + 959348099, + 749922846, + 676184779, + 60719168, + 749776462, + 438640896, + 842372063, + 59780326, + 216878392, + 559099556, + 57686034, + 579811283, + 871270469, + 153792519, + 728608349, + 847838722, + 90384765, + 137080005, + 909918201, + 751077056, + 463733752, + 578966937, + 585238055, + 577733505, + 544320334, + 361305552, + 694017685, + 133370459, + 63628776, + 872376524, + 199436454, + 374551570, + 995038692, + 721458493, + 97167871, + 860484640, + 65875618, + 179314841, + 735934376, + 700590851, + 748312149, + 350381457, + 547964540, + 928059089, + 663485746, + 322264125, + 655780519, + 530546490, + 676706629, + 415900114, + 978103944, + 894413333, + 754129870, + 630545791, + 137277236, + 224575865, + 939767623, + 146259623, + 770831093, + 124553480, + 250846928, + 168498993, + 289498760, + 808858396, + 525490268, + 667423982, + 540916603, + 878556124, + 272992855, + 399306120, + 780183434, + 564400665, + 635207512, + 457397568, + 825185501, + 336044533, + 24094228, + 142907410, + 495139219, + 356888061, + 762350606, + 477917408, + 287806547, + 603146684, + 134421804, + 519386883, + 865023624, + 599093449, + 485941259, + 937602395, + 639963617, + 407313449, + 526201982, + 905458846, + 714280305, + 382910159, + 701535498, + 235518093, + 262234797, + 205882687, + 408110777, + 994079112, + 268592694, + 922248037, + 152484289, + 718986420, + 662557311, + 113842057, + 708094944, + 408296353, + 713453993, + 931022751, + 299418649, + 475853067, + 599215234, + 39094516, + 907485430, + 964850332, + 531148951, + 107476550, + 713948, + 324605075, + 575937511, + 351999867, + 214887437, + 66804314, + 747910483, + 77242871, + 652108904, + 293267893, + 34246068, + 524538259, + 336737201, + 324679467, + 712557086, + 289843069, + 249106249, + 143409680, + 160223741, + 554086317, + 352030842, + 298888363, + 30968832, + 541330494, + 884073790, + 190008059, + 71057448, + 318224772, + 68901930, + 889425019, + 449147331, + 901243108, + 330166455, + 872589082, + 229424621, + 82421970, + 359634740, + 67604175, + 974159378, + 718461121, + 713542274, + 910459307, + 481834314, + 218763014, + 380436427, + 745582726, + 198306429, + 823161367, + 14000382, + 988303330, + 408122013, + 706349653, + 693156952, + 540730052, + 330255645, + 645321969, + 27150520, + 364044782, + 639327587, + 726268997, + 937275097, + 241349772, + 92200588, + 478846801, + 468988235, + 461762776, + 496769421, + 449163284, + 142632762, + 487237244, + 651858511, + 940515597, + 824962912, + 346141149, + 226917770, + 713714141, + 481004676, + 987922215, + 959343724, + 993680820, + 810986829, + 168275603, + 34399705, + 231433982, + 184479858, + 440253733, + 54476505, + 986559477, + 392936445, + 875455030, + 439209845, + 828368642, + 461734359, + 442892213, + 568602268, + 524108624, + 811642473, + 350689815, + 847266071, + 730289534, + 870925457, + 410586674, + 33199834, + 967726298, + 829979267, + 887232351, + 118027885, + 762829429, + 723512770, + 538296655, + 88253348, + 335879847, + 2904090, + 163633211, + 898306117, + 716694484, + 237441244, + 46939906, + 19002488, + 767676875, + 894352157, + 726064836, + 845561095, + 739253713, + 521959008, + 964127762, + 30037020, + 960205677, + 121961735, + 831593954, + 274453232, + 501778405, + 417797251, + 59176691, + 551219661, + 393084728, + 329899986, + 591596330, + 839363476, + 480377495, + 984783759, + 409181085, + 923753053, + 820210959, + 624500746, + 931096459, + 767275910, + 13900732, + 615821497, + 891118019, + 125870491, + 338627450, + 586916442, + 292703732, + 177864296, + 574733295, + 224925888, + 408706746, + 946450900, + 30302846, + 683231539, + 546480227, + 83410541, + 681778989, + 955482500, + 9949245, + 620565845, + 790120007, + 264818989, + 357524417, + 351392217, + 475927471, + 175949331, + 641148282, + 149275188, + 61408659, + 461881854, + 837951554, + 833974139, + 756855876, + 109414169, + 540622198, + 319549229, + 530860266, + 586462305, + 706067535, + 921964648, + 940788567, + 456125081, + 972250045, + 109740609, + 933157941, + 888055385, + 267279281, + 116395324, + 478657743, + 504110404, + 870196436, + 711470277, + 871972143, + 932163534, + 125115940, + 751204948, + 286963619, + 975953504, + 72550255, + 363331558, + 973500155, + 330419827, + 941886585, + 168342153, + 692384075, + 465908886, + 534005141, + 531557978, + 135795459, + 834935616, + 852657115, + 570093057, + 945000636, + 964041726, + 86957005, + 215333323, + 502949469, + 278809539, + 483753449, + 191775788, + 174024362, + 803642703, + 556352449, + 706224631, + 687745682, + 647471363, + 135165561, + 10300062, + 637784478, + 405218651, + 88629630, + 540991074, + 100530980, + 153195331, + 181675261, + 435553101, + 58872767, + 729092778, + 125103468, + 353681232, + 676080438, + 932831209, + 90416428, + 553061406, + 37226913, + 610905049, + 571867088, + 602383310, + 376483950, + 300925946, + 608111340, + 883827204, + 67846577, + 61989463, + 389922849, + 58292967, + 50785801, + 447899096, + 407449350, + 395843881, + 200964428, + 253932131, + 616563449, + 106496432, + 336243655, + 993373574, + 720142491, + 178236831, + 957784024, + 932538121, + 101107948, + 747299417, + 421576476, + 471781264, + 304187784, + 580184990, + 288751535, + 573724510, + 911887168, + 267041855, + 767926434, + 250851337, + 405205435, + 742957197, + 391701462, + 402483860, + 462692538, + 452388646, + 312373999, + 347046570, + 863315058, + 142110637, + 235438954, + 405151476, + 831334205, + 212159633, + 983880992, + 353832172, + 431554988, + 993957909, + 347861913, + 654506818, + 336083146, + 113742922, + 965094514, + 263867673, + 463436495, + 511167182, + 609526674, + 941119117, + 958864833, + 340167656, + 750867109, + 974219699, + 785418281, + 225935008, + 18172388, + 550556558, + 188053919, + 475572540, + 426371017, + 965656491, + 902347847, + 576445396, + 358080328, + 774920485, + 417680488, + 555672160, + 368092074, + 366610396, + 331668181, + 805133077, + 191427328, + 957453885, + 320686945, + 995201927, + 900098043, + 367240786, + 923485763, + 430449133, + 419823767, + 164938893, + 355234076, + 108593712, + 342205853, + 302838566, + 886662788, + 149914307, + 838689790, + 6899306, + 851014611, + 49205671, + 483660648, + 173669724, + 430043838, + 93501684, + 744091571, + 402832286, + 560567723, + 792191645, + 704538967, + 501874340, + 581374908, + 728695650, + 637749076, + 775088276, + 315371698, + 63971611, + 299287553, + 307149752, + 971765536, + 469903501, + 346391566, + 692022360, + 244730485, + 87149859, + 625233445, + 690585636, + 469853641, + 263166006, + 459947842, + 130628479, + 146429460, + 550122791, + 530608340, + 789611608, + 117052679, + 171107747, + 460212768, + 763920950, + 102954561, + 373837879, + 869959149, + 692467097, + 130818409, + 261313152, + 270886613, + 824403371, + 418505102, + 859730620, + 376441024, + 30257350, + 436252459, + 358258915, + 629362375, + 36932783, + 917038458, + 483479565, + 556484004, + 652638016, + 71921896, + 113608835, + 378526933, + 405698028, + 930125746, + 390241864, + 553178507, + 920726356, + 872872366, + 106752417, + 848516696, + 299734955, + 217130551, + 442452874, + 49691590, + 968175512, + 730262413, + 732039187, + 318911413, + 653642455, + 783363403, + 415268734, + 615422435, + 740586116, + 724762423, + 691071301, + 205120761, + 534659341, + 304312622, + 66276133, + 641902157, + 557406376, + 808832859, + 622939599, + 936532125, + 154870070, + 327649878, + 369793333, + 682350487, + 642897774, + 512279602, + 285961092, + 445114343, + 619383768, + 610714514, + 993079477, + 204526851, + 824765407, + 695517898, + 645463052, + 354616501, + 770438849, + 236149706, + 916366240, + 111777913, + 434882424, + 838251761, + 687492370, + 216625131, + 730287997, + 92069042, + 363606817, + 676695197, + 617227839, + 840521104, + 977833451, + 541879416, + 94667487, + 923403815, + 95115045, + 816604230, + 921843085, + 222012565, + 367746625, + 859798472, + 953618058, + 127948713, + 915646585, + 539083065, + 553232558, + 209406499, + 692954101, + 876193409, + 12702356, + 333191596, + 921084609, + 350520341, + 643157091, + 614128065, + 381820500, + 347552043, + 32844668, + 301794311, + 903403585, + 984188097, + 766973235, + 938947910, + 48330723, + 791034474, + 519321054, + 304666504, + 290021274, + 697834580, + 871666023, + 52038838, + 935928833, + 481315149, + 437846568, + 269532320, + 932265961, + 115832901, + 452960498, + 143333103, + 980419399, + 319023901, + 481512157, + 472534023, + 642370669, + 135073111, + 36986179, + 444704594, + 859586185, + 103737554, + 360338761, + 973833557, + 299246165, + 36182655, + 55550106, + 682305996, + 390655950, + 9346371, + 761993235, + 760784308, + 666058985, + 593787872, + 947944942, + 642890446, + 326862692, + 135459953, + 255358261, + 743987019, + 592825969, + 165143041, + 380732297, + 897121981, + 193511364, + 914042875, + 113303771, + 707876468, + 611999702, + 747503991, + 315020105, + 718190068, + 559368988, + 394054521, + 887972607, + 294122383, + 280878529, + 719831019, + 818528577, + 119676512, + 300293568, + 834117428, + 471323286, + 72243326, + 573539621, + 232962336, + 496398255, + 419895290, + 608304925, + 103904243, + 656411364, + 254897755, + 246933793, + 483720377, + 784422670, + 142155089, + 149656113, + 391069583, + 376169958, + 152100808, + 694805519, + 334346360, + 854314170, + 155012609, + 719519820, + 515298325, + 627127627, + 505886089, + 338407543, + 30325757, + 950190995, + 509305783, + 796110423, + 746972285, + 609249120, + 91942846, + 95470451, + 821395913, + 508743746, + 980516336, + 884723944, + 999592596, + 280045901, + 475045621, + 27782304, + 285162738, + 99843273, + 91798488, + 994791734, + 522648305, + 2091167, + 288416071, + 212747442, + 348353112, + 960004467, + 723209777, + 282519702, + 196159760, + 975425382, + 223626142, + 720525367, + 471983063, + 512977026, + 230023446, + 992480709, + 513456072, + 496617754, + 875333342, + 525927045, + 723163386, + 487201443, + 531737172, + 649154727, + 396311326, + 903871828, + 347392116, + 8779206, + 496748095, + 278273546, + 585448909, + 103331224, + 64390248, + 618856147, + 944554705, + 288260705, + 797042585, + 634923394, + 629311785, + 746780830, + 332922245, + 89164883, + 342246264, + 152138281, + 220241908, + 69306352, + 441285871, + 583782110, + 664583895, + 132544023, + 402828425, + 384069007, + 822418413, + 447790230, + 647632152, + 674888133, + 383487471, + 683273470, + 382263639, + 118452292, + 583584334, + 46995171, + 79923725, + 119114783, + 480764150, + 166523257, + 679815895, + 759519630, + 66650446, + 574630944, + 475038918, + 830659756, + 214906641, + 947721513, + 875895129, + 776702842, + 198625247, + 890461317, + 986592550, + 595987024, + 819564196, + 84029497, + 855139209, + 192219946, + 566168710, + 343155858, + 247884967, + 157402139, + 114261532, + 75269476, + 177317304, + 661191748, + 838053628, + 362043788, + 254087181, + 266697393, + 683386967, + 563801051, + 445172833, + 507277809, + 631959431, + 7832234, + 437494326, + 41699744, + 8429419, + 775159428, + 853798499, + 95240338, + 936590705, + 932603036, + 840289958, + 109081437, + 66990917, + 158206518, + 862673170, + 811571724, + 766373911, + 210439510, + 161187506, + 546809864, + 968493540, + 300490507, + 411385066, + 482189639, + 130536611, + 469841880, + 736816813, + 674234620, + 227959297, + 737118462, + 223640052, + 740242495, + 285141256, + 225903761, + 415126490, + 202609566, + 162951567, + 370947887, + 408428060, + 558693280, + 462733663, + 721559283, + 707420434, + 376916167, + 522655906, + 637303809, + 981038803, + 877096772, + 117209946, + 191212390, + 190233199, + 965322968, + 832996349, + 264605963, + 320960512, + 261980192, + 76721305, + 282926215, + 762913098, + 59024430, + 675712067, + 292530078, + 639448741, + 780461154, + 17799743, + 478769669, + 332785694, + 474152255, + 312867677, + 755954873, + 904072508, + 307677182, + 879413159, + 691077253, + 700688768, + 847137441, + 603362041, + 920121916, + 441249037, + 258454613, + 59719194, + 665319296, + 175276771, + 314848168, + 418676214, + 398298773, + 722256430, + 354395239, + 507880640, + 884321085, + 104468848, + 102755235, + 38886682, + 417693225, + 895789464, + 474622134, + 48418158, + 815870536, + 17850671, + 570616522, + 953636294, + 374986785, + 902856132, + 883668784, + 255039593, + 219007321, + 270192034, + 471651372, + 875303409, + 812689410, + 403991984, + 71836709, + 992410402, + 563518033, + 156428456, + 51828467, + 941702580, + 207006561, + 529209102, + 542008523, + 991799747, + 643664599, + 43846765, + 96603475, + 83983597, + 896220491, + 572160064, + 680915426, + 604365054, + 466758993, + 593530461, + 478428327, + 433245446, + 36462308, + 993296111, + 775109977, + 929577560, + 40806593, + 90816121, + 455915738, + 465019986, + 394100358, + 371546494, + 815092541, + 168098707, + 942733065, + 694450779, + 355310759, + 162903280, + 504057120, + 244996046, + 475819319, + 816147936, + 239275918, + 917935884, + 897366406, + 702681770, + 974726920, + 774647791, + 452763862, + 210540693, + 656700675, + 108871711, + 214335262, + 88596601, + 588986433, + 645047084, + 82476340, + 199242641, + 124134192, + 944813384, + 482170399, + 554977641, + 357213889, + 45250230, + 253805984, + 133961647, + 3034497, + 746553702, + 264774880, + 439194209, + 292890505, + 566855757, + 748626057, + 273679971, + 31761046, + 821841090, + 369178731, + 441590356, + 567752315, + 921394127, + 705155434, + 81370654, + 25097067, + 975726055, + 129424508, + 275622690, + 531167879, + 863524506, + 873537340, + 482550244, + 526785941, + 450879609, + 477726313, + 965710424, + 286335041, + 806291988, + 761430415, + 149500683, + 252617849, + 337002327, + 601367881, + 413360246, + 759615826, + 53513790, + 936115918, + 198048168, + 485858352, + 857172444, + 538796204, + 749765900, + 861126019, + 479889684, + 484936453, + 196284165, + 145158828, + 995453133, + 793956647, + 444598597, + 645060430, + 717554538, + 455617892, + 697882760, + 315963126, + 74398452, + 504534005, + 870538633, + 16426812, + 335868820, + 833093242, + 999610523, + 687251161, + 495879176, + 3802598, + 970914516, + 799349234, + 253498109, + 673753576, + 267407538, + 390799013, + 116595422, + 896550287, + 600516894, + 982473562, + 95430406, + 162939278, + 933664124, + 499649089, + 18035050, + 165263999, + 538359076, + 749971678, + 216302378, + 808656252, + 411146853, + 616873238, + 296615860, + 303505033, + 64527878, + 710114099, + 782045538, + 915972561, + 874433623, + 687054739, + 260817048, + 948139455, + 785771201, + 932549940, + 81630851, + 116702704, + 234913324, + 654454209, + 760727327, + 609738986, + 392807850, + 45532224, + 725150352, + 315128517, + 869198295, + 846768992, + 313431114, + 803824950, + 997125135, + 908412004, + 361516038, + 998350524, + 121126451, + 689628403, + 934308129, + 935864778, + 286719589, + 477154288, + 831226268, + 922908419, + 976645133, + 461654187, + 434048188, + 366633001, + 528582759, + 877679486, + 83810237, + 643112827, + 90999081, + 930528959, + 653095466, + 784667694, + 978419973, + 922633477, + 455591955, + 450215356, + 70449071, + 138793900, + 826565005, + 723857787, + 327281216, + 652222150, + 753091372, + 166014330, + 292484429, + 16141882, + 125757988, + 314660292, + 8194055, + 459520505, + 316517810, + 203781853, + 809922118, + 146631601, + 105299794, + 851779018, + 147038075, + 343910194, + 651006378, + 577143252, + 352627678, + 857392747, + 709842604, + 934337802, + 275549844, + 314845906, + 295703726, + 995401899, + 673591732, + 103411560, + 236004872, + 994802740, + 528963750, + 593573531, + 932612912, + 876042722, + 55003605, + 796963851, + 372993958, + 782722757, + 343243319, + 810442165, + 276141994, + 323605465, + 162699557, + 289469366, + 481069769, + 834781892, + 882141650, + 189684550, + 993125996, + 798052985, + 44361245, + 528732646, + 775095424, + 496071609, + 416444069, + 398338605, + 376566226, + 760345224, + 390666561, + 935016739, + 654743570, + 439949849, + 367020355, + 757884498, + 298478949, + 511663656, + 25463811, + 642230924, + 456434174, + 948309208, + 786631161, + 711608471, + 904969979, + 499185390, + 535765291, + 552890614, + 860756772, + 425952074, + 543816741, + 363319716, + 705489176, + 584368481, + 620176873, + 388081449, + 722885536, + 263095528, + 389438457, + 332164422, + 710152719, + 976576766, + 350595210, + 380901378, + 197024537, + 714741598, + 273213370, + 562564828, + 849955523, + 858639924, + 95420942, + 557135877, + 878229437, + 942979103, + 247269029, + 925659590, + 974306787, + 39547588, + 279560832, + 896677376, + 6200505, + 760350285, + 715280178, + 578755324, + 734130842, + 298139533, + 979831526, + 352317493, + 416091835, + 304769074, + 613373698, + 719589737, + 607513253, + 524531724, + 74108970, + 266978399, + 842987730, + 235207216, + 186365861, + 375162204, + 505561304, + 993821990, + 443287488, + 546019767, + 76544673, + 3694195, + 991002912, + 97952223, + 988933148, + 431408943, + 949514676, + 428417391, + 917360943, + 92154208, + 584167529, + 200365270, + 90564009, + 822547865, + 571445673, + 242407744, + 499787483, + 554436502, + 952364195, + 842911495, + 75618905, + 341510251, + 491556807, + 721417574, + 384820700, + 196756367, + 156808749, + 587223283, + 696995226, + 758605056, + 433902813, + 975732458, + 56853317, + 626317733, + 417675097, + 916754614, + 998449585, + 193141822, + 643489308, + 667136896, + 338942872, + 69766673, + 5930427, + 524322138, + 414696991, + 540112988, + 564299726, + 586921007, + 588438167, + 868452404, + 678829619, + 337915554, + 469187062, + 714295457, + 276308105, + 769155547, + 99177763, + 767168097, + 552406844, + 269131541, + 178983653, + 538004409, + 337703358, + 955673018, + 600194391, + 249179066, + 521782063, + 573013201, + 222850241, + 584145008, + 306182660, + 981157380, + 940733861, + 378151650, + 634382909, + 768050276, + 312246053, + 759165582, + 37022343, + 645804949, + 592537776, + 822940513, + 467941774, + 208154530, + 974223573, + 160318130, + 361467995, + 433208664, + 154165101, + 52286020, + 779095963, + 857356402, + 581689499, + 810852308, + 202511234, + 622589413, + 186979287, + 92424521, + 977650565, + 102442640, + 2886749, + 78857208, + 686677422, + 785764223, + 623387940, + 695683396, + 41120054, + 822140092, + 495657403, + 625194029, + 463546285, + 273534112, + 508002633, + 706695015, + 591811777, + 210827397, + 155645507, + 143475711, + 974496796, + 654136417, + 592524815, + 472457812, + 972769287, + 180138585, + 382823988, + 169792633, + 696903231, + 804812814, + 819875911, + 997841631, + 175584679, + 465107020, + 125666612, + 835714854, + 958151761, + 276752114, + 776566811, + 783180384, + 441050856, + 872921800, + 231487404, + 938773255, + 440066634, + 930810015, + 514413360, + 366867759, + 270231125, + 368513276, + 174078729, + 436525318, + 402508891, + 919147709, + 944289463, + 929475235, + 396227789, + 795062890, + 576668621, + 393878710, + 584076187, + 482757608, + 607893961, + 641555654, + 841066936, + 986182872, + 813285026, + 857724688, + 834126817, + 520433564, + 119293857, + 727581763, + 279192420, + 199882868, + 518696469, + 662879347, + 593242050, + 452080726, + 394023073, + 526647760, + 388429795, + 426047373, + 665685254, + 55115900, + 817046145, + 109119925, + 558242467, + 176101769, + 368352878, + 250541365, + 417763402, + 537570305, + 955685886, + 355392052, + 385790335, + 962129471, + 770302513, + 560720023, + 609577227, + 983848094, + 531409550, + 41047623, + 946345407, + 572553063, + 132122834, + 292158894, + 118754653, + 4149870, + 412846221, + 258836547, + 126039366, + 383203930, + 6796577, + 939906175, + 997996295, + 645686358, + 232971909, + 891865285, + 4034339, + 430213362, + 747881183, + 113286110, + 350716338, + 609796395, + 586742502, + 287815818, + 4230182, + 688022162, + 296075562, + 921011252, + 34240152, + 374178260, + 8159874, + 109570151, + 865084368, + 181994972, + 975375220, + 955613322, + 889958973, + 623347780, + 195904897, + 14958398, + 574931204, + 156982050, + 489423194, + 129557622, + 991458202, + 732585446, + 251043815, + 771270974, + 681895933, + 857811983, + 676567238, + 3097996, + 91719800, + 329753993, + 522333227, + 310464743, + 877366026, + 410984325, + 14595964, + 334049467, + 49195689, + 522313091, + 428838379, + 17854638, + 610753584, + 514181307, + 312944670, + 269085135, + 54194558, + 627781753, + 321532652, + 528426487, + 46942454, + 250203079, + 259140570, + 663289153, + 914643032, + 225859315, + 894276027, + 915380332, + 982242293, + 591776122, + 271018639, + 611743802, + 171878840, + 364998299, + 177724413, + 90732649, + 81281864, + 477856251, + 454072288, + 537719066, + 744384180, + 606092642, + 513417077, + 871418600, + 304004310, + 325036021, + 602982270, + 307224431, + 707822043, + 254091028, + 501944059, + 135684519, + 875645439, + 476992242, + 817898318, + 467021057, + 59804257, + 532060640, + 665084356, + 215396346, + 455276267, + 417703908, + 695958537, + 685067522, + 157585765, + 684630870, + 414036208, + 440196852, + 779248519, + 481027446, + 816408870, + 952937215, + 232048546, + 787046555, + 168582340, + 479631032, + 125696569, + 630188299, + 708387614, + 31239594, + 974726978, + 274527663, + 198260181, + 785556377, + 735140954, + 507452817, + 543327024, + 313279441, + 712708378, + 457320815, + 677021166, + 284594478, + 879657188, + 959675606, + 751972215, + 569374606, + 384846190, + 76542388, + 962456713, + 556621671, + 868532328, + 452389609, + 647956086, + 271881012, + 134921627, + 656468079, + 274694889, + 796767691, + 296837005, + 740150965, + 255270180, + 899253388, + 939426781, + 838133211, + 823837149, + 268223936, + 339227977, + 905710482, + 286823478, + 303538370, + 603772768, + 262913356, + 418019920, + 453415220, + 822835319, + 3124317, + 770707526, + 479553401, + 430946514, + 190583300, + 456602747, + 938619278, + 301198120, + 566936031, + 685517372, + 943801760, + 109923305, + 605949025, + 325505201, + 376757144, + 765649422, + 957759072, + 847519727, + 809848877, + 639961918, + 630644733, + 587286892, + 528101067, + 625081015, + 412337436, + 180386843, + 918440275, + 226849931, + 439182886, + 961940848, + 312525222, + 190889187, + 172381468, + 389894064, + 621497906, + 821232248, + 510514463, + 890341854, + 548036570, + 644790666, + 875365567, + 731241980, + 829780934, + 713211388, + 526859586, + 778123021, + 259277784, + 96741518, + 933012102, + 236099662, + 721606256, + 339157051, + 350584452, + 968523318, + 61049860, + 832186208, + 892821331, + 204689146, + 331272480, + 933104969, + 281112254, + 274196262, + 754339362, + 756871442, + 482552290, + 41097325, + 628258476, + 465348374, + 739764845, + 988677796, + 381408145, + 75782622, + 700892704, + 932856464, + 349808123, + 223758003, + 210252644, + 566212004, + 28438325, + 31834613, + 660506197, + 797004573, + 635430673, + 11119677, + 700534104, + 897086419, + 724736505, + 37271464, + 599776769, + 148621065, + 958373480, + 961993036, + 18146025, + 54519258, + 498293652, + 408057042, + 819200077, + 932331585, + 786967943, + 491975159, + 497226350, + 343441994, + 590230083, + 26177683, + 666154709, + 913358944, + 262101701, + 351134477, + 804009871, + 333520286, + 103285173, + 153110533, + 637242361, + 206055802, + 42645631, + 248322065, + 975678213, + 931101188, + 251057161, + 324717763, + 607954785, + 820377363, + 518013815, + 451900852, + 527048120, + 631158748, + 275165154, + 764042842, + 278891031, + 526592508, + 543897975, + 111037400, + 261342810, + 47037143, + 442725126, + 199331953, + 660472028, + 690516812, + 368615179, + 806291129, + 481710353, + 684540763, + 953953277, + 205173399, + 624069672, + 522193341, + 619594068, + 173921214, + 223759628, + 294306357, + 636714903, + 98017507, + 774680646, + 723016996, + 258602386, + 259711945, + 433552239, + 37612808, + 22042910, + 475984449, + 748576708, + 221701566, + 670896994, + 23837075, + 382557702, + 889384298, + 4937259, + 135223808, + 612801996, + 865249086, + 74439681, + 865204625, + 56129472, + 611696858, + 209228491, + 751161708, + 519027054, + 389010329, + 134883328, + 598204163, + 431386320, + 493512629, + 46131676, + 872507324, + 746028154, + 801065926, + 769825996, + 847646184, + 171521083, + 707487003, + 447058003, + 935097913, + 395727947, + 961335683, + 366349083, + 526139715, + 736457475, + 339409975, + 919630097, + 403438583, + 688599823, + 134335244, + 204901187, + 30294971, + 200942475, + 310021193, + 28650179, + 518463220, + 11641775, + 983890781, + 659294422, + 474058710, + 295039554, + 937283176, + 688622304, + 152835959, + 687195814, + 618571664, + 230153374, + 744996130, + 107115298, + 244308641, + 516782696, + 706459691, + 540704208, + 744474601, + 881019507, + 180140830, + 417837567, + 990784838, + 597290370, + 506981205, + 319513496, + 34557189, + 90120658, + 420999518, + 137586474, + 780238388, + 83697066, + 195344546, + 603929915, + 748804351, + 36448383, + 205318022, + 680356832, + 187533905, + 666656159, + 566871037, + 234245445, + 186969545, + 527845487, + 115955, + 605854765, + 181203442, + 800869228, + 494849913, + 941335441, + 735501857, + 440742807, + 80398541, + 388107936, + 503133297, + 3197515, + 977173090, + 948197281, + 866149030, + 890336241, + 737596275, + 239635358, + 763128793, + 464260133, + 34597222, + 964315349, + 966698994, + 550837991, + 975100395, + 482333357, + 670852629, + 606619048, + 136457243, + 257228789, + 673786956, + 719476553, + 255045898, + 434789793, + 444366287, + 33716053, + 677384030, + 531727370, + 799307461, + 766726992, + 868268592, + 805286845, + 72495250, + 760160131, + 22466245, + 614423273, + 642394171, + 450064837, + 993072964, + 602744724, + 751187501, + 254919657, + 596080075, + 725099497, + 187626331, + 289529676, + 686447514, + 59030443, + 617579753, + 95757627, + 255926332, + 430369520, + 421793393, + 153845646, + 691709934, + 816021786, + 610895947, + 140851285, + 939394708, + 28437159, + 145476209, + 958148237, + 559758662, + 848249845, + 921372382, + 702243153, + 555134166, + 656801764, + 897738223, + 203000159, + 390106757, + 818710121, + 685271237, + 820221118, + 348154174, + 769008365, + 756086965, + 711073105, + 960711921, + 251585986, + 539029627, + 942889107, + 479045202, + 797403137, + 354064939, + 18609673, + 360608350, + 221907315, + 860590850, + 485044445, + 160630607, + 282451344, + 972023571, + 595221899, + 324405145, + 768928757, + 308246831, + 537466560, + 457078115, + 341280099, + 732827119, + 827209551, + 365284460, + 957146180, + 534142839, + 682828334, + 775037956, + 666998442, + 502363463, + 485545469, + 279132970, + 336070178, + 949728800, + 323652840, + 755751018, + 681927740, + 183035896, + 704675063, + 600718620, + 283792085, + 914050916, + 669799915, + 639358090, + 965856421, + 250151927, + 8772769, + 214268657, + 616964115, + 594064258, + 688802527, + 458847668, + 446003312, + 570378651, + 797270856, + 300864262, + 253232240, + 659497774, + 868774917, + 549100110, + 524496549, + 732181914, + 173500988, + 670667595, + 869665063, + 603547692, + 926926, + 914429430, + 272748408, + 268355759, + 597576430, + 718987854, + 936361271, + 391375997, + 499825952, + 973019958, + 181675125, + 738481588, + 205268467, + 291872837, + 739022275, + 149926094, + 263717232, + 168178914, + 712859476, + 762894829, + 21112388, + 771540142, + 913718864, + 35967132, + 990282591, + 235895331, + 80891970, + 45765177, + 867665261, + 676387447, + 110434464, + 668459812, + 915840473, + 974456395, + 955804968, + 530308455, + 421293578, + 338752716, + 179945203, + 407873933, + 230148297, + 372248231, + 390495586, + 268984781, + 22278233, + 642690544, + 916079713, + 836434955, + 305638684, + 62126415, + 912864197, + 179848353, + 489565849, + 386010553, + 743838764, + 754482035, + 129036507, + 2498307, + 78943861, + 829277865, + 892418677, + 813082127, + 414516241, + 610465301, + 409230647, + 120925686, + 827143102, + 686232368, + 38546949, + 939685019, + 511868195, + 136316668, + 774637573, + 143850388, + 73013809, + 213445303, + 765917163, + 757061965, + 474802205, + 753082880, + 264023107, + 473227731, + 929298070, + 833859926, + 263036402, + 768522445, + 609588007, + 664900084, + 369443341, + 283111630, + 20417587, + 840901619, + 54231653, + 859992222, + 615364247, + 720624878, + 187583154, + 582608511, + 565906775, + 44883342, + 727169413, + 819523610, + 60260068, + 768389783, + 132575818, + 782820229, + 482896706, + 882701726, + 981861980, + 873495995, + 168773289, + 510531831, + 774687808, + 205086306, + 237147367, + 233084474, + 487412049, + 231693497, + 35063592, + 598909418, + 937999060, + 958267583, + 978295086, + 716854435, + 229929979, + 25331989, + 779100581, + 991205270, + 486940401, + 597366968, + 155856079, + 729535814, + 220501769, + 923414583, + 294466901, + 559693808, + 208462182, + 516415494, + 235193270, + 578101207, + 956864089, + 329917509, + 19053583, + 685764829, + 780838801, + 249194407, + 169210087, + 67464814, + 382394634, + 11756297, + 258526064, + 203778532, + 987427343, + 960488911, + 566353928, + 688009974, + 873146774, + 799138281, + 367264497, + 993571830, + 363443535, + 83238653, + 726862939, + 923750727, + 480371563, + 174296309, + 753164267, + 323409712, + 95686228, + 169305287, + 129361246, + 414172278, + 452318191, + 793485050, + 294885095, + 152712538, + 149484478, + 255793961, + 681610053, + 946620266, + 446601418, + 134245316, + 369299767, + 232496389, + 296763292, + 702230830, + 670344619, + 124485348, + 173508040, + 734216183, + 942535356, + 87383407, + 706164124, + 372861955, + 793927526, + 561482241, + 715708749, + 620079710, + 981762816, + 465547587, + 11018605, + 19767265, + 220855265, + 111168400, + 257996380, + 309097972, + 406161058, + 636806751, + 972498898, + 306759091, + 978872603, + 944467315, + 12661573, + 278338376, + 320268298, + 909105388, + 72624790, + 290007253, + 934232102, + 837831850, + 303663759, + 474769279, + 697532180, + 584422801, + 861530836, + 223507490, + 427366996, + 964080498, + 327638807, + 827986187, + 979939560, + 902855506, + 704120104, + 560066393, + 147271314, + 675214855, + 691992468, + 681900825, + 834186625, + 365361207, + 364497972, + 667189316, + 682860146, + 432159145, + 132386673, + 554485194, + 240482790, + 664008582, + 458369883, + 989281128, + 179226460, + 431624525, + 91645563, + 152686868, + 758925700, + 567602475, + 449287093, + 414186515, + 727135078, + 932148828, + 290999326, + 551556274, + 116532166, + 455769405, + 545681621, + 498217646, + 488087820, + 41031618, + 604286578, + 780370464, + 154619658, + 198231676, + 383279611, + 486181060, + 881980584, + 228616345, + 932123600, + 324912088, + 528081057, + 186660967, + 890806377, + 19188082, + 373949309, + 869949676, + 878927671, + 723754130, + 532192038, + 731046105, + 559709999, + 946873598, + 556211195, + 495324452, + 440309506, + 436174680, + 785162269, + 231370732, + 701815684, + 343032512, + 386287194, + 631927650, + 978095954, + 622122780, + 855426535, + 275014465, + 825824457, + 937368088, + 358875310, + 65969834, + 510507901, + 484539030, + 725045636, + 25686682, + 267525123, + 716564742, + 39573811, + 833200653, + 283186200, + 426512798, + 912293816, + 559483085, + 456625205, + 568874573, + 35359450, + 183765097, + 123674607, + 87069097, + 85763087, + 662360684, + 326160611, + 624473049, + 13569885, + 828763412, + 258898445, + 164740308, + 289527924, + 858492882, + 834398355, + 146955650, + 168187128, + 823840138, + 504833323, + 859411286, + 259357026, + 412422633, + 9147708, + 412560843, + 302327744, + 76984845, + 526036869, + 56513271, + 906859970, + 509858699, + 552911684, + 781866379, + 55407333, + 693439682, + 246276549, + 235415042, + 652515306, + 946406977, + 330987937, + 651551277, + 116597111, + 298285907, + 97164926, + 493463647, + 953102838, + 406718547, + 491507539, + 159239270, + 562860256, + 388941907, + 292138986, + 787690527, + 468267704, + 470288309, + 75073453, + 437842129, + 832258914, + 184816169, + 432407364, + 86244669, + 140571080, + 829751935, + 619408107, + 611561131, + 210981242, + 743430369, + 792628340, + 607392285, + 856655501, + 85832159, + 164852741, + 681570229, + 639025476, + 119131938, + 548766570, + 316351484, + 149383612, + 417289650, + 356524025, + 739236545, + 959878008, + 724932776, + 697290933, + 949081786, + 25817246, + 265607051, + 329252196, + 795222990, + 713599530, + 660142994, + 278230173, + 120397406, + 965534996, + 520962850, + 885014371, + 74912593, + 972619866, + 717357351, + 108494954, + 959140949, + 512463327, + 593155902, + 221144115, + 783578143, + 411253076, + 84856884, + 492123461, + 622314257, + 667293418, + 225178426, + 784815321, + 917497793, + 257668865, + 627928571, + 936122338, + 954161688, + 908198224, + 542376519, + 64835017, + 509819907, + 59918286, + 837037758, + 646564554, + 610161322, + 39725718, + 5920405, + 90981425, + 118778082, + 166764935, + 281025610, + 864576952, + 169264401, + 80661029, + 959548482, + 84561787, + 430204757, + 406161961, + 182442904, + 524166664, + 250907368, + 734209044, + 450184782, + 664998723, + 900872658, + 212775663, + 156810902, + 445136947, + 53888129, + 593724904, + 940952365, + 961676430, + 654921262, + 212433632, + 123598427, + 914919615, + 776561755, + 574880577, + 329770150, + 235454763, + 956516639, + 238069495, + 837950049, + 387790443, + 582575429, + 784546926, + 843336310, + 323158530, + 978927673, + 274849627, + 693213033, + 276444121, + 695634700, + 553419910, + 352344236, + 115123159, + 561286001, + 450849699, + 764258746, + 688900337, + 919694336, + 93831335, + 7871929, + 446252570, + 265539885, + 663999910, + 769666319, + 412493231, + 10275649, + 185928089, + 574447495, + 746936443, + 655387690, + 225621260, + 33626325, + 537046001, + 461141994, + 211694884, + 36147225, + 961358753, + 646629930, + 941907998, + 80903034, + 227738374, + 942820193, + 382080750, + 460359487, + 495374877, + 93447711, + 384645003, + 689172601, + 186717547, + 367563199, + 836020663, + 565502006, + 369499083, + 917111870, + 127629536, + 432796675, + 211863243, + 470057627, + 694288694, + 68193476, + 529978529, + 678985771, + 399488719, + 783649245, + 212378386, + 10387746, + 768076633, + 100232004, + 773439854, + 126917990, + 115998412, + 387479229, + 49107686, + 271021538, + 636228886, + 702710050, + 712029214, + 739195587, + 594501397, + 675502851, + 469411023, + 283507488, + 273526398, + 769055306, + 244556051, + 823989136, + 407381796, + 33036596, + 355954559, + 468952495, + 101297912, + 881399567, + 549557262, + 101573349, + 541712929, + 685921078, + 204701566, + 436728694, + 759817136, + 47202490, + 365296404, + 533527126, + 242574687, + 894711498, + 924049819, + 142093212, + 328176832, + 593796832, + 124040798, + 602654682, + 699984559, + 412880968, + 534776659, + 341864782, + 707944727, + 359392061, + 374098408, + 486575505, + 994993113, + 932557553, + 417725805, + 336306419, + 545689959, + 717391394, + 5705780, + 265765397, + 988265621, + 148287949, + 62442428, + 892605647, + 613745851, + 991785191, + 893459725, + 172459006, + 386532532, + 321047614, + 6517013, + 763915066, + 328865461, + 931618436, + 745183281, + 580651289, + 438015163, + 873222862, + 153689432, + 206243193, + 371274775, + 13017962, + 726042315, + 472846824, + 322966085, + 510494186, + 902876859, + 254754455, + 989285734, + 23483477, + 268887377, + 593211259, + 659933490, + 49642522, + 81939300, + 544224714, + 291051668, + 543219767, + 644223891, + 557542236, + 869657383, + 940850797, + 234589148, + 556539940, + 295197135, + 299266676, + 577686735, + 747831278, + 519598055, + 229059773, + 887253905, + 939814024, + 493700319, + 421549615, + 435954622, + 48167750, + 5952188, + 887799848, + 951265088, + 327200808, + 575622586, + 615518021, + 622005824, + 119059442, + 496765334, + 979002929, + 943120749, + 836865184, + 227278378, + 175379652, + 399069461, + 397890881, + 944097169, + 664147870, + 642565020, + 377836838, + 885048100, + 212073339, + 303999642, + 200755308, + 218517362, + 472163525, + 915622075, + 91964324, + 497502683, + 849685724, + 214264421, + 175058029, + 729010692, + 138789040, + 990012706, + 433491235, + 479732408, + 712153728, + 785782718, + 932351375, + 204165321, + 655861192, + 904175587, + 291404946, + 706845618, + 169987847, + 515890838, + 227988628, + 751864658, + 898249038, + 375479886, + 716138752, + 889965976, + 590641898, + 138984012, + 862451486, + 504252900, + 977406538, + 777840490, + 568923699, + 502211323, + 5550779, + 510745557, + 212082544, + 776654790, + 512686930, + 639636802, + 862788235, + 318813593, + 572440710, + 644831119, + 556576240, + 844625550, + 15662194, + 481579661, + 506396828, + 448987712, + 266421942, + 452336934, + 961477447, + 44102481, + 140273548, + 241238346, + 534969733, + 673666200, + 203528849, + 128559262, + 401816342, + 588784901, + 752332485, + 872611583, + 932530246, + 598749703, + 581320532, + 68732116, + 63677622, + 50462933, + 46806666, + 715359964, + 510680941, + 921229751, + 832510269, + 658621337, + 520673825, + 638016323, + 67912424, + 99547707, + 607043762, + 682447997, + 333651622, + 982779610, + 914062605, + 351302057, + 729706237, + 765288893, + 495528358, + 788465749, + 882930574, + 695809664, + 413949152, + 653296740, + 352827969, + 99552102, + 895885315, + 380502346, + 354390084, + 996868665, + 950106346, + 426025635, + 832873877, + 766631445, + 4453745, + 312322491, + 905463216, + 893378510, + 284228791, + 58489502, + 359291975, + 905447857, + 624922154, + 773689566, + 149009423, + 168666334, + 978327568, + 645790579, + 529625544, + 88185820, + 40737156, + 3003036, + 111849464, + 919428477, + 509357675, + 718158179, + 919703100, + 22982600, + 296339876, + 584292476, + 237319205, + 881355437, + 431765876, + 548508856, + 793408317, + 944615471, + 467971902, + 754611636, + 157710013, + 480065675, + 295707019, + 225090712, + 800872156, + 248109913, + 930750674, + 100040376, + 869150602, + 59008290, + 732862698, + 255954333, + 574024659, + 807951584, + 281664871, + 297439574, + 971410429, + 305393269, + 931683700, + 473304327, + 893586888, + 107551136, + 300170552, + 480861732, + 735518053, + 479924427, + 183083170, + 393314671, + 990541996, + 953811123, + 73999066, + 157098641, + 624145443, + 246599345, + 735724238, + 808076080, + 897850144, + 137843217, + 228500680, + 721391227, + 442033784, + 958742400, + 203803262, + 325610604, + 727158796, + 418595061, + 502820325, + 444780191, + 643992188, + 111921352, + 180815322, + 690015439, + 541674973, + 625855711, + 4431222, + 593354606, + 695629644, + 755795480, + 948716964, + 515854804, + 136048729, + 872376767, + 57165617, + 928579393, + 631886469, + 791528858, + 786331026, + 118881650, + 460505116, + 79735947, + 318517981, + 970235017, + 859577385, + 849326222, + 761997296, + 407218062, + 940053427, + 424028639, + 4334474, + 123696761, + 350723574, + 834277957, + 138178517, + 744068153, + 174699396, + 675641095, + 308471254, + 157178105, + 644114959, + 4879829, + 601424266, + 839728221, + 569478504, + 28503202, + 115698645, + 922494475, + 553910558, + 656487342, + 66292765, + 64015684, + 70840226, + 998292320, + 844094342, + 552851024, + 433879996, + 731281676, + 368025205, + 876582833, + 7764751, + 278689124, + 525468401, + 875517236, + 818300624, + 218578725, + 297658962, + 859833697, + 37451953, + 341849396, + 688582269, + 119491177, + 680297318, + 289498012, + 565708780, + 361104633, + 833086445, + 904588969, + 522692179, + 251930191, + 707914813, + 219138410, + 632801950, + 80243463, + 257131548, + 382679769, + 812228450, + 771083905, + 427562878, + 130317278, + 44431534, + 266440573, + 618361621, + 68481604, + 621314695, + 47568868, + 667312411, + 466842055, + 461159596, + 524482792, + 438293462, + 252493161, + 547379658, + 541894260, + 732181840, + 526932855, + 216141216, + 558725237, + 578084620, + 457520135, + 192563358, + 365758860, + 729898262, + 464635341, + 323912290, + 793526714, + 356283194, + 806809822, + 164597654, + 385396619, + 735975399, + 791573496, + 883936525, + 942901881, + 910291268, + 316961366, + 497183215, + 879154980, + 18123103, + 732431816, + 69869305, + 916910881, + 254865372, + 939878303, + 627814787, + 348490126, + 713405971, + 639419729, + 837276173, + 899022105, + 169843100, + 124833444, + 526928727, + 363709837, + 226559697, + 584416400, + 350880701, + 886061118, + 238487357, + 881677073, + 454706952, + 519423653, + 493531449, + 590008280, + 424528930, + 93485529, + 673526337, + 332017718, + 177311403, + 413680485, + 610537350, + 276038599, + 411706943, + 873517334, + 266952368, + 222988376, + 840864888, + 825793803, + 888270982, + 618458696, + 222772848, + 266301442, + 443123172, + 650172208, + 905908030, + 320618589, + 349242455, + 370304269, + 81079933, + 458349642, + 830833476, + 986868896, + 650877118, + 283634297, + 882186640, + 937139985, + 630821074, + 213586555, + 78288765, + 405040616, + 975711864, + 275940919, + 804000556, + 243169391, + 924988637, + 83943360, + 55263861, + 679702325, + 55884361, + 776000754, + 430230621, + 895456092, + 204448518, + 527639705, + 461148089, + 246009583, + 110011444, + 819284534, + 341436217, + 542702463, + 368430591, + 20837376, + 717550134, + 202356060, + 540629826, + 128341783, + 434358202, + 99782926, + 313984572, + 977445012, + 418870559, + 48886291, + 224413689, + 683413990, + 725742420, + 46369693, + 161795291, + 63119264, + 909134264, + 505959229, + 834657553, + 502816339, + 636378955, + 62013618, + 740703946, + 132495418, + 78026618, + 676512806, + 827413136, + 359951465, + 747793075, + 536867316, + 462799169, + 820263374, + 578238114, + 256377788, + 763910767, + 819541349, + 268899364, + 959345974, + 646877159, + 414631065, + 65341594, + 155277273, + 813492765, + 694379162, + 935639748, + 288969264, + 656741331, + 460923572, + 167975035, + 737702017, + 900891546, + 772397047, + 472009695, + 900779964, + 220419076, + 403222106, + 947621345, + 186420067, + 473233131, + 925288141, + 91057645, + 810519380, + 396002722, + 214352706, + 299671683, + 7151931, + 928830411, + 122224679, + 965059840, + 686154804, + 342905383, + 975726646, + 56415548, + 41620279, + 937919246, + 213560412, + 62185083, + 999677490, + 494979843, + 413960258, + 115756135, + 492553224, + 524240568, + 631621415, + 277391545, + 459940418, + 689170329, + 284166238, + 625687690, + 296033942, + 57296896, + 162603034, + 414660566, + 61979657, + 252095261, + 987081390, + 85160619, + 821688080, + 706806111, + 164273089, + 913025027, + 73016406, + 633905749, + 104647238, + 822584948, + 609932786, + 399211256, + 467796275, + 280885218, + 51444380, + 958315367, + 482996521, + 171852395, + 271535765, + 139329910, + 600210534, + 330036565, + 369325150, + 374288494, + 181009456, + 998950153, + 341712313, + 901914490, + 754282166, + 798955196, + 691167751, + 710692043, + 210153888, + 683300487, + 463372175, + 953898013, + 923787318, + 168894396, + 917691148, + 364137082, + 216204484, + 397976522, + 215182485, + 66782943, + 926439009, + 863320620, + 930326372, + 204745116, + 111529907, + 652903570, + 235600891, + 529315701, + 735351269, + 440280318, + 856129194, + 346240756, + 461142265, + 954885576, + 252212516, + 494859564, + 18252394, + 697048861, + 604038253, + 700585924, + 111464052, + 772003503, + 508764573, + 744461014, + 498194730, + 192607077, + 59014459, + 252726994, + 444875440, + 895561989, + 364765282, + 122763089, + 296380657, + 708431098, + 70029521, + 784406828, + 965752415, + 393463064, + 448634990, + 62529564, + 179442073, + 697680816, + 280770236, + 588425868, + 459949243, + 609401396, + 405381024, + 108676586, + 251651928, + 71854382, + 540292012, + 406745450, + 494548588, + 480473512, + 490311952, + 156849868, + 56851966, + 876192476, + 583636209, + 31580401, + 723786044, + 420421459, + 249267948, + 373183846, + 500132820, + 650928808, + 370649206, + 4957740, + 817081885, + 499890236, + 938184233, + 353246393, + 795521059, + 781798177, + 76004630, + 665927282, + 116385909, + 777035354, + 975828901, + 333639193, + 710839127, + 861608113, + 691188115, + 449093713, + 198955798, + 331442777, + 23341620, + 425004840, + 418908931, + 369054877, + 778624723, + 121621090, + 196836658, + 189717906, + 80004680, + 382851612, + 518327869, + 376811770, + 429464571, + 753600420, + 467779552, + 158772213, + 773311050, + 643621064, + 450224496, + 571537341, + 313607706, + 171265985, + 332946220, + 40192530, + 280359633, + 590010725, + 433196885, + 768913760, + 514731011, + 491723065, + 476451660, + 892432132, + 115423475, + 463917545, + 722189036, + 385693403, + 743437116, + 510331629, + 14200148, + 586808507, + 369926119, + 442381074, + 665205813, + 852036598, + 362580290, + 301624232, + 344146079, + 240517067, + 506850346, + 726396608, + 749746203, + 585210702, + 164581525, + 553353225, + 636655656, + 856476935, + 182963029, + 874282120, + 605443271, + 70079119, + 595545509, + 535256983, + 284379026, + 194278783, + 155954826, + 79156837, + 207733775, + 257226120, + 306109780, + 114930835, + 993927157, + 445113153, + 916699238, + 408571174, + 692104553, + 890472899, + 287977210, + 492923516, + 313351616, + 574931743, + 123828145, + 126038280, + 952942697, + 154926875, + 215392862, + 962636104, + 792592391, + 867420576, + 772566430, + 343796377, + 944327292, + 917631669, + 941743080, + 580458101, + 626767564, + 60667043, + 303696728, + 163173580, + 105376459, + 223085301, + 134147597, + 805526319, + 597678708, + 508275676, + 550971728, + 741485076, + 630288688, + 999959099, + 644135653, + 306694135, + 650089660, + 481531597, + 879447963, + 29798766, + 668869840, + 716640393, + 195611051, + 548790237, + 201467479, + 324083474, + 750434048, + 466752138, + 266737461, + 244413667, + 895685670, + 832398579, + 959158647, + 315484542, + 321277731, + 153834493, + 484278430, + 516506539, + 756272074, + 307437792, + 680894127, + 873232577, + 348409375, + 365924454, + 230497815, + 870640109, + 246289828, + 377816704, + 50401191, + 96489057, + 352049463, + 816668093, + 10241209, + 759982080, + 283198305, + 341623527, + 786239615, + 976339601, + 251209009, + 201502676, + 836623043, + 477105240, + 573567639, + 823734383, + 902433386, + 360646602, + 617810974, + 69894342, + 839965842, + 41526833, + 350967152, + 836619174, + 404723997, + 939156721, + 972018230, + 285599318, + 947371776, + 465399025, + 60749986, + 183940662, + 216537699, + 534120469, + 122598516, + 495470097, + 709028289, + 216717789, + 70268480, + 990936982, + 777553074, + 787344075, + 184022448, + 32194494, + 570215090, + 952124515, + 496548787, + 67827971, + 750286453, + 331416370, + 914571613, + 443220164, + 345585511, + 275183237, + 548164867, + 618671830, + 448006778, + 26922112, + 638465674, + 658372151, + 218162064, + 71861337, + 418494918, + 373580448, + 441538182, + 25197456, + 428617719, + 327359659, + 786141098, + 199357039, + 291628709, + 724531365, + 175653246, + 200219524, + 190346582, + 713644324, + 250472405, + 126779823, + 976930012, + 161327001, + 445870296, + 68395385, + 921090469, + 543120269, + 564029886, + 332899960, + 929636136, + 840174534, + 849142793, + 554057826, + 561070101, + 839105154, + 897524003, + 945926415, + 552268877, + 399520367, + 631118031, + 972303672, + 398719234, + 65094440, + 770591899, + 681985616, + 504722760, + 134546445, + 323833377, + 922028817, + 986696610, + 872840424, + 109029801, + 859591417, + 86959283, + 495334232, + 538905226, + 567910125, + 959404125, + 957973903, + 292951378, + 438216158, + 490267170, + 875511373, + 835958362, + 768222525, + 137793698, + 367350187, + 524460436, + 20607206, + 526642120, + 467437025, + 562688367, + 161899453, + 731786549, + 976607553, + 605494158, + 381433095, + 574132709, + 469278264, + 982482335, + 142876152, + 895230683, + 943225518, + 189338498, + 965772079, + 152606469, + 296363955, + 724670356, + 912314485, + 260603793, + 983075145, + 108785951, + 508067371, + 974104727, + 757033131, + 47173310, + 664152821, + 232774320, + 257816407, + 906639417, + 218027397, + 40484081, + 139745142, + 328568553, + 848017594, + 719196784, + 656156307, + 186502247, + 346514626, + 326492481, + 320073786, + 560144498, + 140248345, + 858550219, + 973599894, + 219249921, + 21044390, + 670577263, + 413784229, + 629671095, + 682135776, + 474711026, + 6005323, + 765436990, + 885721272, + 738549208, + 420151591, + 602566315, + 658609692, + 919528692, + 853127508, + 317258812, + 485580638, + 727757853, + 718091994, + 399410229, + 34652787, + 322379807, + 700819777, + 909073242, + 331975559, + 664268994, + 931553147, + 653395789, + 769020407, + 780900410, + 11025660, + 227818113, + 484139613, + 432959142, + 88997020, + 543221710, + 321408644, + 801196849, + 728574470, + 402490877, + 918246521, + 691370613, + 214028968, + 959647728, + 464842213, + 663373800, + 274559847, + 757987769, + 983186324, + 501975515, + 927224479, + 231005399, + 586677353, + 45782049, + 296829649, + 678856162, + 95858032, + 635221956, + 551199915, + 841555778, + 449289242, + 608138582, + 72660505, + 798077801, + 224205948, + 480472978, + 460628756, + 443412624, + 357975082, + 429510570, + 293607334, + 855470494, + 968254758, + 261952854, + 182981974, + 314777143, + 240740675, + 362126319, + 824482246, + 687609476, + 337694804, + 817412346, + 969979718, + 270606990, + 655352311, + 500315719, + 648058595, + 972127231, + 155445550, + 525365118, + 928728931, + 497758841, + 134605705, + 561755786, + 834677085, + 200384731, + 589593068, + 499259289, + 541812393, + 775551519, + 202487900, + 222519852, + 439129086, + 797079090, + 100051539, + 886645741, + 433763923, + 312743293, + 955210161, + 684615865, + 369875521, + 256393581, + 675913695, + 282625300, + 768934543, + 4417206, + 163763541, + 756102252, + 637937470, + 417967485, + 791796288, + 961180390, + 186606235, + 935960413, + 682638268, + 50924304, + 3933807, + 256092067, + 1366342, + 464017715, + 334171124, + 645178173, + 426345309, + 801174697, + 232188148, + 197147039, + 616305550, + 721874668, + 652739245, + 874618374, + 651628291, + 791203369, + 534887119, + 875802619, + 431491374, + 141165871, + 749324203, + 51196948, + 841530975, + 446225699, + 689143256, + 863641109, + 793692858, + 984994617, + 953639216, + 146526507, + 434889113, + 255992444, + 599190496, + 342791457, + 111341359, + 794594069, + 783834095, + 460721056, + 206877888, + 652932992, + 434812772, + 562546831, + 965269982, + 389936314, + 232534079, + 359743296, + 949731858, + 575462856, + 79244676, + 722087397, + 588769984, + 84449803, + 151369284, + 475800445, + 236644539, + 312581742, + 568136381, + 465892994, + 667320419, + 489544218, + 332188376, + 531164474, + 695283343, + 351614460, + 922207162, + 390237027, + 152348348, + 266270570, + 982775041, + 684318822, + 788235919, + 775907819, + 484576791, + 506562958, + 206543270, + 358542787, + 538415426, + 945693360, + 121434455, + 200818592, + 194753870, + 10520769, + 628607690, + 285205795, + 643296214, + 936346845, + 685268856, + 812895569, + 142342149, + 80798203, + 151301972, + 728027806, + 78155076, + 890317439, + 458796325, + 734671262, + 503973961, + 899634035, + 581928668, + 920317014, + 19070499, + 912396186, + 817753676, + 895895365, + 291904051, + 11751454, + 673372922, + 309154079, + 16844291, + 266583100, + 366343257, + 997329675, + 557494192, + 601448346, + 22511813, + 384017767, + 814119384, + 397443100, + 956954416, + 357421734, + 180949593, + 730321001, + 736214400, + 283578618, + 785673587, + 482342682, + 896703341, + 594723969, + 767724024, + 626839595, + 15107764, + 150208408, + 245615218, + 943700230, + 128933319, + 661429486, + 485396310, + 166989113, + 799703074, + 672875441, + 588684495, + 879352949, + 805347612, + 848074654, + 701595869, + 678273878, + 415168061, + 636289299, + 770514626, + 873856739, + 452061571, + 19493776, + 648876986, + 29585257, + 964838142, + 490308806, + 519898295, + 664345035, + 90966790, + 270310110, + 162228522, + 587995622, + 290733306, + 14584422, + 20758521, + 279102929, + 755033255, + 745216, + 822224178, + 38602452, + 313638057, + 497860940, + 910789932, + 858545326, + 599629104, + 986773090, + 70566495, + 654513257, + 9090310, + 24851194, + 847415795, + 81074957, + 495909556, + 452057592, + 674304556, + 291720689, + 493730442, + 83631688, + 323093331, + 951201546, + 832843092, + 16449382, + 489301078, + 630671871, + 381475960, + 883033149, + 602870578, + 747509890, + 692345830, + 874799323, + 905922865, + 798861771, + 256224501, + 30942935, + 652884405, + 288178489, + 632838431, + 495575275, + 478641872, + 58556155, + 568021944, + 986904513, + 463850961, + 770470942, + 2326362, + 375980481, + 948623405, + 907456838, + 614333368, + 790158070, + 903469461, + 191497204, + 918905991, + 969339255, + 212828402, + 152336227, + 70570967, + 279490161, + 574443642, + 334323107, + 59455531, + 352579544, + 107569391, + 856342642, + 552729520, + 289272886, + 597136898, + 355445342, + 519459776, + 215040700, + 866093004, + 895544993, + 682682822, + 166793107, + 859943628, + 202998679, + 347803721, + 456269304, + 447675345, + 563398777, + 432870151, + 719846469, + 267480088, + 901105877, + 981178328, + 875907128, + 759821478, + 398979763, + 430449941, + 749448655, + 141853137, + 365919660, + 453043675, + 655490084, + 829066270, + 476333844, + 655776598, + 991324506, + 220109239, + 853649590, + 692526508, + 887634313, + 741171437, + 399884955, + 54594303, + 776356237, + 208197577, + 526444339, + 120758200, + 540818605, + 810037417, + 704105542, + 814069257, + 355709088, + 386294256, + 623696136, + 787053297, + 473910994, + 350501450, + 185226395, + 915584265, + 698732034, + 379422619, + 995399067, + 132458880, + 440713975, + 943276396, + 206473781, + 828887956, + 856715140, + 439552026, + 641805196, + 880255083, + 787108519, + 461551515, + 763649557, + 282797221, + 560748040, + 466311501, + 298630537, + 387865656, + 452477152, + 118231865, + 324202402, + 256469861, + 496314313, + 696304588, + 596026258, + 174715864, + 639004751, + 243009454, + 666630087, + 520403727, + 267033748, + 348057792, + 684973082, + 507619261, + 914749136, + 379371808, + 538169520, + 145498560, + 336700401, + 585359835, + 354424664, + 195997239, + 171819890, + 637011823, + 230041494, + 232064374, + 496844790, + 83775907, + 330850834, + 826199752, + 775186436, + 788221721, + 728907966, + 809123422, + 438890988, + 281574878, + 339314727, + 424619606, + 644923795, + 565065506, + 517990277, + 54848275, + 343874973, + 723338410, + 713049027, + 766985311, + 932473378, + 578696185, + 689350884, + 352272734, + 440409016, + 858117263, + 113789611, + 671021911, + 312751005, + 217866827, + 660207492, + 282054823, + 862756473, + 477128923, + 348654750, + 982862467, + 993589270, + 100088473, + 614342573, + 367547699, + 924825284, + 306685823, + 290002644, + 451994141, + 554454797, + 260616847, + 382132816, + 456829770, + 257982752, + 252652600, + 806931226, + 14460290, + 27044588, + 254201711, + 621468797, + 120911975, + 25974614, + 735618204, + 819183427, + 393716266, + 778148217, + 761992460, + 269301138, + 239332957, + 862448948, + 153746569, + 985806327, + 739288094, + 437389534, + 506602262, + 641220760, + 86775938, + 703675679, + 296318354, + 25576991, + 777575852, + 303064074, + 15143586, + 829980917, + 237447739, + 554589218, + 604371189, + 234331940, + 832498931, + 91973940, + 211484865, + 161172571, + 852053011, + 382453869, + 984189448, + 94480683, + 868761452, + 965479009, + 591664967, + 181967024, + 451090090, + 942505492, + 893319038, + 319364456, + 870461452, + 694507177, + 342084890, + 165249536, + 572205981, + 618246587, + 960284116, + 356594950, + 681944367, + 545386101, + 148672141, + 948262533, + 493205113, + 642025803, + 719929652, + 259833886, + 296829777, + 668993367, + 979474244, + 663309934, + 915875025, + 717555741, + 176772730, + 466964330, + 972916374, + 824655995, + 612222356, + 716184918, + 234690425, + 667093229, + 679182069, + 180829615, + 717232235, + 619374456, + 665344420, + 160475692, + 937173092, + 451290265, + 698847830, + 895656770, + 285784355, + 112904809, + 742141419, + 409486875, + 54165492, + 756609185, + 790767975, + 293671891, + 133640718, + 98137931, + 687153752, + 910153839, + 644113458, + 308922925, + 754291746, + 80024014, + 993188150, + 918545260, + 349731602, + 810253861, + 745418011, + 532093722, + 747670870, + 67994161, + 220139902, + 288024810, + 442889032, + 35745642, + 780208764, + 907437674, + 526965944, + 830445472, + 141102296, + 909407529, + 370468571, + 288428484, + 425262669, + 835500738, + 340947250, + 617106209, + 453766252, + 147290103, + 309208524, + 332519526, + 217380476, + 456094364, + 961476614, + 785146497, + 433104183, + 810500946, + 697196408, + 222016721, + 147735923, + 779356685, + 688949090, + 465142709, + 220915609, + 685394997, + 161586723, + 141735279, + 408633910, + 619062152, + 149043031, + 806042480, + 660808891, + 582091844, + 646261242, + 618410, + 740620670, + 962921007, + 829708339, + 177198287, + 139185645, + 154934116, + 332869410, + 183514809, + 526354280, + 274846633, + 478956333, + 575369483, + 412617216, + 762659844, + 722807424, + 244498257, + 983662712, + 222669348, + 330300989, + 960741756, + 116892145, + 45668480, + 100495268, + 847769746, + 494018865, + 381441083, + 817391339, + 433829954, + 712234932, + 761222177, + 502561548, + 912690545, + 674823643, + 523130346, + 104734318, + 756094088, + 966291985, + 347489277, + 338249913, + 512446119, + 504165240, + 725451021, + 375782135, + 532188835, + 597791956, + 524551474, + 794084051, + 130320774, + 114096078, + 104709907, + 622904041, + 805547514, + 324740492, + 113123319, + 412448521, + 985929814, + 599419106, + 54523901, + 392607608, + 334282936, + 114951791, + 319570576, + 114194945, + 973841894, + 110652161, + 550742457, + 47101653, + 31963195, + 628611906, + 589911586, + 62634234, + 850782871, + 708904817, + 150921320, + 652258459, + 873572484, + 110807640, + 79152626, + 911367464, + 83094153, + 591488090, + 423908202, + 568049872, + 198075196, + 406291820, + 393725215, + 76936961, + 852595018, + 275384059, + 834837226, + 125331771, + 262797990, + 385918415, + 338816150, + 575452759, + 474690548, + 362504677, + 781861903, + 542905832, + 385993371, + 489248163, + 509536466, + 507287103, + 186735314, + 145215553, + 605739580, + 728758128, + 709374407, + 836589511, + 211580448, + 122272610, + 114297439, + 678603469, + 941159335, + 697220322, + 585440651, + 161749105, + 585554105, + 363462453, + 699715191, + 447758073, + 636499310, + 703033249, + 228473291, + 609798502, + 34543524, + 520590068, + 632522248, + 225318501, + 81713709, + 939956662, + 109626249, + 159321616, + 220515110, + 35495444, + 704569366, + 66063165, + 994434197, + 735686974, + 30716684, + 32954171, + 986472967, + 198804786, + 859626549, + 481893714, + 311966788, + 770108148, + 451832145, + 312435714, + 878224469, + 402594670, + 516480149, + 340812188, + 577849333, + 335531648, + 790139766, + 575501144, + 20074617, + 693724053, + 293167754, + 994919211, + 562869025, + 129507452, + 191508034, + 870140753, + 56047313, + 551527979, + 61811968, + 285584627, + 33328593, + 462143193, + 901711239, + 3839049, + 962126371, + 259631790, + 405445156, + 297490662, + 392481940, + 411257565, + 187185138, + 996829915, + 492290409, + 669966383, + 333203453, + 459724269, + 482575491, + 582581997, + 371432063, + 199729181, + 686069763, + 346314071, + 123050611, + 824480188, + 124499439, + 52650978, + 865353273, + 368261485, + 24881613, + 701073088, + 319396489, + 691586765, + 475223909, + 74390366, + 536846112, + 53188786, + 644836271, + 102647120, + 709925049, + 356548252, + 451394681, + 360599504, + 951361826, + 245839023, + 942496219, + 483222776, + 706656261, + 820791317, + 449952553, + 499595817, + 753182741, + 347880611, + 356634204, + 10947438, + 208774870, + 58285304, + 951951122, + 400037059, + 448747179, + 876799362, + 147248073, + 141085814, + 464599129, + 742551144, + 836909331, + 637893993, + 101913891, + 65191905, + 849792775, + 291880390, + 460106495, + 304559476, + 118000142, + 611710666, + 924371587, + 366362349, + 443323059, + 914115465, + 425005507, + 981649320, + 372635212, + 994298926, + 539047597, + 262107893, + 922385333, + 949858349, + 887666526, + 498908797, + 605729185, + 784240505, + 636668015, + 462637665, + 234550184, + 769406235, + 424127482, + 117337155, + 522245458, + 371562589, + 758980106, + 553980108, + 654971621, + 158352645, + 652259175, + 216475488, + 140669367, + 511115279, + 979731055, + 621833914, + 216514877, + 384527840, + 803977341, + 773637396, + 850852054, + 133961208, + 747442541, + 898880329, + 252813859, + 454621418, + 274597410, + 814783839, + 549559897, + 631866532, + 947147293, + 948674252, + 777472383, + 387054676, + 350660752, + 761702649, + 567338215, + 800109996, + 501383763, + 811565590, + 604491446, + 847086148, + 373961812, + 303856435, + 421941343, + 121961547, + 121435845, + 410907267, + 509785496, + 129476736, + 360258087, + 997029164, + 977136416, + 993394682, + 772195655, + 995805856, + 210091480, + 882440865, + 869958583, + 646418209, + 794445433, + 658889317, + 60588184, + 418328386, + 173168950, + 441713771, + 290736346, + 531750748, + 583633900, + 933808685, + 859091239, + 567272467, + 759986416, + 785408863, + 524678137, + 107332495, + 30422453, + 728573456, + 816993795, + 764397388, + 308564842, + 876089984, + 233551342, + 272116690, + 930299041, + 298330392, + 123869734, + 741467716, + 429249455, + 984033974, + 464817166, + 791891684, + 191861567, + 869014641, + 483754025, + 311166741, + 706556279, + 540518185, + 695648979, + 206751882, + 396165815, + 233497442, + 683437999, + 333662510, + 616775865, + 55940155, + 798395972, + 930678403, + 395181145, + 672225788, + 626992343, + 436889747, + 763923595, + 212775405, + 566686494, + 730397262, + 564022261, + 178705456, + 657438131, + 87501909, + 792957293, + 836034789, + 361846090, + 904333724, + 522625684, + 559783354, + 869207131, + 788538582, + 213619928, + 609395192, + 186450494, + 26706188, + 679586871, + 83492727, + 163871449, + 710423073, + 664433227, + 69205703, + 522681821, + 700923645, + 387703912, + 419031468, + 29219236, + 23209141, + 324244938, + 37099744, + 973228873, + 634520576, + 447333475, + 234800459, + 239398804, + 144794143, + 637869225, + 515844524, + 434016146, + 511187955, + 333423311, + 526530832, + 625279823, + 14912588, + 646542549, + 717481168, + 629496324, + 766403512, + 780831286, + 840217857, + 89465628, + 707233106, + 918416363, + 494617348, + 446573192, + 713470002, + 350904868, + 347316307, + 57765669, + 384351095, + 315880156, + 974218818, + 124665201, + 992529014, + 249590592, + 534815596, + 652290538, + 181244168, + 61922092, + 220008911, + 142026713, + 671092873, + 264498505, + 370482242, + 90771651, + 243723750, + 162431447, + 945747403, + 94796884, + 768018322, + 299081104, + 96473894, + 763302232, + 971543940, + 673869773, + 559952396, + 789325112, + 95166449, + 434535304, + 438372342, + 363201109, + 334251004, + 485947993, + 878883605, + 133526893, + 528450084, + 99168212, + 744589478, + 741568127, + 449792404, + 354164562, + 40375492, + 12209993, + 580102196, + 666777832, + 602474072, + 647948735, + 3737829, + 147751414, + 773040052, + 182635, + 108778522, + 568915043, + 787584675, + 427221534, + 967662863, + 859404736, + 230266631, + 658903434, + 945692375, + 255661535, + 496239450, + 691548400, + 501213035, + 813750059, + 242880991, + 165912636, + 790181666, + 880996728, + 212017848, + 908340205, + 547639609, + 263463691, + 779849829, + 640234328, + 824049284, + 586197647, + 471645518, + 47731671, + 258785732, + 710305963, + 737106960, + 648514728, + 89873066, + 955517360, + 484847967, + 136349155, + 671550111, + 580228564, + 395546022, + 570672797, + 34634363, + 138563209, + 719364670, + 640889735, + 116493170, + 330553164, + 717593690, + 355072441, + 646996537, + 736409429, + 304536937, + 875603171, + 77805015, + 504975955, + 683775571, + 692648974, + 477580255, + 366324434, + 511575072, + 36026935, + 809105316, + 817485841, + 234840687, + 645176348, + 853771063, + 889540726, + 847587287, + 567830097, + 990398070, + 815594002, + 352345377, + 634786219, + 845537276, + 659902974, + 359850463, + 166696237, + 475113038, + 597847681, + 774721580, + 30447849, + 175151725, + 386305283, + 105842088, + 353309986, + 95389262, + 171545547, + 51207066, + 191166182, + 787880404, + 455287580, + 267619981, + 282034206, + 269376442, + 221163451, + 208675253, + 663939410, + 769908950, + 834433364, + 157200475, + 94759224, + 382417222, + 364239941, + 680674440, + 754315499, + 607778236, + 713645524, + 650672991, + 510334190, + 786557448, + 364273855, + 726680164, + 909368723, + 295084039, + 618114773, + 439717409, + 633683677, + 779824559, + 311910934, + 794023712, + 307373674, + 975777204, + 926957112, + 252941124, + 50785573, + 804610625, + 936024143, + 705328323, + 991314868, + 528547958, + 343660251, + 57593422, + 505592441, + 522268011, + 547220080, + 712567970, + 739742375, + 442367986, + 703320003, + 749052, + 862516731, + 697482480, + 129123574, + 590728461, + 192436162, + 244354341, + 828083514, + 505729759, + 904177423, + 345528039, + 843301940, + 413327598, + 932714483, + 669800361, + 955133641, + 489903817, + 817074185, + 358601003, + 483195784, + 923673205, + 391658391, + 283769408, + 209311898, + 856254367, + 242619884, + 90972439, + 412945641, + 552117048, + 651886848, + 49875272, + 31570335, + 877251409, + 286999934, + 161043476, + 802271788, + 326931455, + 273539194, + 660160574, + 220970713, + 674741825, + 387720355, + 432281800, + 387052952, + 797462016, + 49722665, + 436339396, + 222114119, + 982585945, + 360430469, + 934968789, + 588763803, + 882675316, + 775036124, + 762141334, + 933932690, + 576682023, + 390897809, + 631623102, + 421385443, + 434248004, + 448125977, + 717347107, + 780680535, + 313021007, + 387921582, + 868018649, + 598269016, + 490296397, + 321265565, + 371399758, + 158087230, + 525243790, + 750147076, + 601180268, + 309118558, + 784521765, + 731221411, + 664426633, + 340178558, + 393941174, + 259335550, + 76125688, + 587457648, + 674636782, + 123412327, + 399726106, + 921994469, + 828178616, + 572432397, + 193730690, + 330983783, + 713409071, + 513426450, + 159876201, + 279435206, + 351228360, + 19275485, + 4304357, + 998772866, + 838943729, + 856735371, + 435789540, + 516057022, + 675194557, + 897705543, + 699456612, + 205806469, + 471189932, + 141309408, + 403507488, + 670074850, + 805910406, + 689293018, + 823221446, + 505447323, + 529813038, + 429023104, + 920854026, + 306871270, + 108533993, + 999305227, + 106501390, + 938604520, + 965434359, + 61692357, + 502421129, + 302512105, + 331560305, + 714479111, + 50864708, + 729153386, + 253918335, + 924697082, + 618477059, + 495415637, + 829388280, + 135160856, + 402771852, + 363253716, + 711462222, + 342755251, + 708128827, + 423711621, + 616603415, + 802258255, + 503073010, + 591805583, + 38656846, + 661322254, + 487132366, + 445721197, + 151427089, + 285076788, + 972628857, + 213289251, + 255591922, + 721641107, + 318923207, + 76595837, + 718208841, + 954871546, + 791534258, + 365799610, + 848691661, + 247126248, + 461966489, + 859010425, + 811370238, + 472755146, + 996242458, + 513906148, + 711807449, + 54620974, + 298083624, + 420486212, + 489082405, + 282057687, + 781017210, + 604954060, + 489102895, + 430605036, + 836465866, + 679404718, + 615443582, + 203079310, + 332917684, + 51245717, + 204650604, + 88067932, + 742769054, + 123904803, + 419039294, + 830941069, + 353198418, + 763346293, + 197230926, + 98376231, + 313123934, + 245553527, + 410841865, + 803079104, + 526696748, + 839866137, + 796758677, + 287063695, + 949846236, + 280518386, + 50892702, + 790234746, + 766085814, + 835642842, + 860820074, + 239626025, + 893266648, + 899558582, + 228369429, + 951904893, + 286558101, + 4441901, + 706962712, + 23363669, + 917928297, + 239808199, + 521156244, + 303337947, + 710896143, + 458430964, + 819070982, + 569208530, + 973490399, + 358571557, + 514845948, + 998041851, + 429880334, + 151579152, + 583697355, + 443392308, + 200974585, + 907679799, + 324840308, + 799222916, + 749782910, + 278974195, + 116185700, + 831724553, + 892030259, + 155043237, + 711052789, + 756509318, + 154838684, + 313367043, + 467877714, + 690160886, + 264195313, + 245570771, + 987956253, + 663900608, + 621674438, + 657099925, + 973484081, + 272279171, + 424127481, + 200940882, + 527963458, + 134374478, + 48090944, + 758994160, + 54006683, + 348725734, + 754989485, + 732886245, + 539068323, + 4999465, + 804015582, + 262085601, + 912819551, + 401164581, + 549972408, + 259711981, + 156918579, + 67819713, + 2860541, + 544413692, + 268687525, + 459777126, + 278608561, + 50958690, + 21809282, + 936296463, + 811239089, + 199973616, + 761078770, + 722316254, + 500115719, + 679162896, + 381163849, + 675512751, + 299986512, + 536323751, + 427433484, + 561497111, + 103699433, + 348339397, + 217002553, + 534934967, + 497958696, + 379682404, + 872329413, + 179176950, + 548855106, + 35799405, + 930860742, + 315749807, + 834344525, + 37550344, + 208769757, + 536872294, + 33748932, + 37439942, + 593306682, + 67684710, + 196206784, + 115351515, + 991139841, + 114072939, + 818240233, + 565625601, + 625095802, + 977022434, + 604099737, + 565218999, + 473646299, + 439320491, + 816015938, + 631013132, + 626334419, + 186400599, + 882151420, + 981399434, + 66803220, + 393353039, + 829144641, + 462542281, + 640433211, + 503009605, + 606908914, + 825420360, + 295650246, + 342304395, + 789033465, + 215086700, + 855420574, + 131296247, + 993657577, + 87514843, + 382009611, + 688253913, + 221869744, + 128733517, + 776687996, + 735520176, + 271400720, + 345321372, + 539682369, + 787331048, + 529096126, + 148141681, + 690262202, + 218789225, + 372898988, + 508926927, + 862576544, + 624765648, + 260694345, + 41125454, + 754571273, + 977829907, + 876247028, + 525039308, + 130712689, + 946705074, + 399322890, + 171775821, + 973250829, + 17890508, + 289475912, + 952751767, + 359690128, + 161935639, + 999393894, + 465129521, + 158354601, + 724105866, + 215680689, + 355851980, + 942773758, + 98935929, + 144803849, + 284606955, + 414896528, + 433503558, + 108557301, + 42143237, + 578031597, + 342057903, + 201923442, + 246782288, + 900603515, + 383319619, + 516229516, + 787525200, + 758462287, + 439931268, + 279821553, + 573032536, + 154025070, + 464142181, + 998431397, + 308974470, + 786892252, + 126168762, + 379370937, + 896648525, + 909465483, + 374834653, + 370002361, + 47532589, + 996819098, + 591585621, + 973864421, + 607526706, + 702396132, + 196838322, + 744929630, + 863794782, + 902315058, + 615206820, + 434310129, + 528075950, + 518089603, + 617336853, + 36094186, + 183245483, + 16930329, + 745132718, + 93601774, + 14713868, + 845506957, + 296106643, + 915699119, + 927276459, + 659101344, + 887402252, + 659580542, + 170726278, + 556771164, + 337259837, + 192352288, + 43020394, + 162901129, + 84417560, + 408718049, + 65679967, + 375209297, + 309098306, + 779129644, + 822837520, + 265512127, + 328259286, + 27935292, + 545806242, + 514797660, + 736882815, + 553306784, + 387120956, + 407207802, + 255363472, + 819180375, + 407385551, + 722700999, + 38411898, + 592379784, + 586382632, + 271642784, + 159017557, + 296528475, + 491687592, + 201786728, + 280676076, + 678794601, + 852635187, + 162451953, + 414863116, + 721311708, + 436516355, + 1178999, + 861766954, + 561986646, + 629639024, + 442286279, + 243731837, + 929665254, + 418386178, + 781560318, + 541822797, + 697817058, + 231220914, + 891615077, + 918384524, + 711184425, + 939184450, + 107310140, + 122742854, + 832094229, + 121529173, + 340919545, + 945921201, + 430030908, + 431462707, + 942632119, + 523166618, + 778467777, + 786254017, + 691364177, + 909300008, + 766191707, + 641488982, + 907281837, + 727723414, + 739436467, + 693970169, + 44074125, + 911030741, + 106078522, + 878561881, + 137711288, + 584518700, + 159024972, + 177096819, + 287016287, + 516715443, + 836844846, + 371185033, + 16379239, + 665482751, + 337738038, + 772545413, + 718816596, + 376927706, + 648830282, + 963097343, + 327736411, + 762318164, + 946543417, + 34576269, + 560686002, + 580268397, + 548484296, + 427902751, + 302815133, + 199877298, + 966115458, + 523889527, + 366679991, + 170583288, + 504438383, + 458389772, + 873804234, + 163457852, + 677036288, + 522010530, + 648962186, + 653475565, + 353069803, + 193472444, + 343264989, + 884524028, + 284690004, + 571688077, + 925462329, + 773892153, + 999270592, + 143942920, + 799256578, + 920592757, + 115366565, + 875458771, + 762236727, + 860865666, + 956443185, + 855217228, + 356322323, + 750283209, + 343698327, + 904836744, + 872445976, + 802391322, + 849413614, + 439316870, + 499446666, + 382870006, + 654701659, + 902438931, + 301712444, + 568513323, + 103257806, + 794959294, + 468969021, + 510938210, + 309391607, + 546747152, + 637031744, + 57779852, + 836056124, + 524847918, + 288018440, + 297107209, + 953801745, + 836933201, + 564579217, + 200245564, + 761848211, + 201661058, + 535616489, + 434305232, + 587552991, + 131621621, + 285704237, + 555418568, + 438427205, + 305140579, + 345026500, + 414052839, + 377017381, + 347437553, + 534454741, + 633516975, + 297241387, + 992759648, + 273227074, + 258396668, + 124635619, + 771665356, + 483459032, + 3986571, + 448173848, + 627286407, + 101162590, + 656977643, + 988789740, + 705587064, + 712439783, + 282580216, + 269527473, + 174719818, + 192450692, + 81665048, + 827602920, + 901957157, + 253867285, + 971444006, + 963946458, + 183404941, + 808894722, + 148512446, + 467989853, + 860333484, + 287576423, + 859896385, + 576535000, + 58275570, + 454720632, + 482560810, + 676131790, + 741969582, + 856837271, + 148273919, + 412043906, + 589386678, + 660034506, + 100442320, + 211084914, + 741722691, + 501608998, + 905136359, + 473674000, + 261378343, + 308260669, + 737252421, + 513343871, + 303420822, + 377680622, + 297816455, + 192703364, + 86180594, + 262976151, + 470593807, + 766221573, + 523425597, + 18369709, + 582586594, + 15431546, + 238417944, + 298878487, + 578107427, + 286902568, + 407691347, + 120100474, + 919717905, + 403173524, + 259709695, + 563377762, + 954103173, + 554013203, + 740661171, + 866702194, + 255372010, + 290701040, + 813319484, + 944760258, + 62161000, + 575581408, + 661467622, + 681748516, + 230522971, + 152343446, + 186785174, + 91074868, + 462099824, + 847274327, + 970169865, + 37771633, + 133096866, + 59317043, + 79387510, + 373048438, + 40350819, + 135772408, + 221143684, + 814993850, + 257059509, + 710605563, + 725466403, + 633980993, + 796634065, + 158064301, + 233958291, + 805891383, + 979293416, + 580329628, + 787262059, + 633314621, + 231394192, + 675461348, + 938708222, + 539123600, + 813498459, + 199103236, + 720033974, + 842461065, + 54453788, + 609939687, + 846846107, + 649699540, + 528539586, + 256630112, + 664780586, + 777273222, + 480716841, + 468197890, + 381953298, + 819932316, + 459032856, + 954516687, + 61716714, + 577057795, + 265102803, + 43249939, + 992221166, + 569672702, + 230453523, + 940752640, + 820142267, + 149279043, + 75276911, + 797608117, + 259355897, + 409225133, + 753187712, + 48702654, + 336722569, + 927771529, + 123890469, + 922897682, + 994569163, + 589527140, + 601278052, + 260573311, + 720357870, + 166711485, + 998362029, + 450033896, + 127827220, + 175364305, + 680385590, + 570143290, + 934914880, + 594057741, + 205405305, + 632662725, + 916002706, + 493909818, + 977316382, + 999347937, + 65938021, + 427623801, + 43442589, + 117081811, + 342754821, + 419143568, + 287965578, + 693153874, + 781041860, + 627247954, + 680444978, + 812797036, + 175025447, + 907627796, + 996432068, + 461847571, + 751628028, + 915010356, + 343108941, + 611005078, + 183083677, + 485926380, + 272269316, + 293063156, + 204409997, + 697182210, + 529853431, + 435410879, + 661652009, + 785829438, + 6341402, + 994915770, + 359720844, + 122316828, + 696732072, + 348164111, + 960123101, + 281562239, + 636471962, + 582329770, + 151690646, + 236261123, + 918408542, + 447320894, + 75511995, + 698871483, + 435983619, + 390437172, + 139390533, + 175228271, + 562068292, + 340638344, + 265134365, + 871007437, + 181889623, + 656654194, + 588182074, + 446073177, + 385224938, + 317508879, + 492002253, + 22288029, + 716595596, + 888505663, + 290594241, + 472521198, + 202468977, + 472285703, + 675321705, + 494308648, + 238449968, + 518373963, + 597435559, + 438590785, + 899202183, + 56119171, + 439461682, + 315768373, + 612818890, + 371080469, + 547282098, + 300606201, + 143981703, + 199248484, + 513787731, + 299664997, + 223805213, + 679201302, + 294714474, + 647997571, + 443401398, + 346999732, + 395000392, + 684692188, + 264152919, + 256858049, + 175948175, + 386779384, + 352346967, + 689434064, + 960392355, + 818854588, + 97428839, + 910509047, + 88596066, + 868588526, + 476981223, + 53258353, + 240257037, + 812334135, + 980616644, + 56043227, + 606734079, + 443226259, + 583138829, + 687694044, + 137689876, + 291439036, + 818336807, + 704806894, + 424891919, + 266463815, + 719299113, + 744006376, + 814785471, + 135633887, + 733177496, + 78247204, + 751650402, + 306450375, + 673381582, + 562259544, + 706266178, + 520540233, + 889153174, + 170644056, + 494694193, + 424345456, + 820916712, + 587748270, + 922466298, + 829471579, + 106646698, + 573779763, + 947124293, + 471129852, + 286420668, + 706139608, + 605334642, + 341523445, + 444439456, + 314294864, + 794722471, + 840709590, + 896741938, + 6175913, + 464950780, + 492717917, + 601196120, + 73460084, + 83486540, + 393934239, + 228808247, + 814285361, + 641290622, + 763575786, + 418426888, + 991665717, + 910234248, + 879095686, + 216033299, + 693452585, + 487920739, + 991478126, + 731776621, + 836124411, + 983511689, + 970119350, + 565952492, + 260660180, + 466379629, + 408585797, + 150122453, + 624533772, + 28375586, + 86769922, + 207964322, + 929931104, + 83079980, + 521791406, + 909693144, + 964092031, + 254630924, + 237638256, + 151413174, + 488120809, + 150378657, + 51487877, + 947028469, + 315685109, + 715652862, + 980635361, + 523588016, + 44824741, + 730017625, + 591434610, + 701113798, + 730103128, + 415707599, + 101409332, + 353876396, + 198850418, + 665632711, + 482693909, + 516084758, + 162103090, + 695144079, + 665979495, + 590955810, + 923775223, + 721169338, + 883529679, + 740595304, + 892709399, + 950614139, + 75297248, + 282862842, + 564393186, + 275473664, + 894550957, + 825765083, + 352110602, + 66099804, + 153476348, + 45403193, + 488438243, + 556943640, + 760339085, + 742048164, + 297199625, + 714328309, + 61781913, + 627797587, + 56510512, + 817810275, + 713808866, + 580908476, + 562488369, + 487994518, + 79825604, + 917080314, + 955746867, + 828527122, + 100088772, + 451872031, + 154726852, + 952081214, + 846983775, + 309451426, + 868496750, + 606893344, + 143942251, + 533862662, + 246123437, + 379830087, + 905397028, + 638857002, + 487279854, + 921290830, + 655604205, + 955731528, + 922131916, + 335767429, + 575939744, + 165216627, + 856969380, + 299267618, + 96940553, + 329230750, + 374215668, + 564289494, + 710375848, + 632804864, + 287261323, + 240101972, + 281434172, + 755471750, + 969789791, + 521449268, + 475047117, + 418723320, + 334261201, + 666269923, + 117665135, + 830418001, + 153786364, + 881510295, + 776763567, + 593413455, + 23321095, + 936216165, + 208823522, + 334526556, + 535057523, + 472955044, + 965896881, + 835426941, + 265338622, + 654860335, + 212658718, + 156227112, + 225830579, + 920841862, + 97642954, + 279322827, + 597071867, + 841172676, + 422931805, + 232809159, + 505316937, + 967089300, + 483484504, + 103309439, + 122191885, + 411098523, + 987459320, + 540692627, + 344270089, + 923890182, + 756264174, + 429282675, + 710638310, + 260500221, + 452307232, + 190790846, + 703351558, + 826353309, + 932245433, + 458718348, + 440869037, + 95711352, + 961050530, + 612430014, + 714095832, + 838654919, + 833686122, + 959015882, + 617132287, + 591759707, + 906999256, + 933221441, + 414681774, + 157358069, + 346768796, + 873559092, + 275311548, + 901399133, + 491666736, + 61002846, + 311519348, + 540064519, + 870150750, + 981897249, + 906716551, + 235862751, + 229640853, + 830463082, + 397286167, + 692133278, + 957481549, + 549653033, + 440077558, + 788977986, + 584865906, + 287106195, + 475247429, + 239163926, + 26780037, + 424774902, + 763680185, + 798166802, + 525596468, + 329936229, + 464958632, + 552335185, + 800783620, + 863015384, + 693588186, + 806811423, + 164402765, + 485026128, + 584302578, + 339284276, + 234443784, + 899814044, + 62801894, + 122047038, + 14061882, + 192416967, + 716937743, + 264754244, + 804417461, + 157549301, + 631406999, + 499038610, + 238484492, + 687822551, + 443460025, + 249466858, + 760372310, + 141706574, + 708815330, + 285793087, + 886740026, + 503870195, + 388580988, + 315699850, + 784007050, + 908872184, + 826480710, + 291748471, + 350112169, + 934068180, + 982291152, + 523056729, + 868858960, + 534263673, + 49796801, + 506577900, + 776837321, + 303474624, + 594791881, + 369776795, + 690084556, + 48404682, + 967451709, + 117744449, + 745203079, + 401720533, + 184846091, + 435815392, + 533235548, + 683698742, + 61429920, + 109751208, + 61993444, + 594544909, + 215582376, + 614222383, + 39079321, + 769042729, + 938925663, + 701472031, + 473374767, + 500778991, + 615698461, + 583252897, + 562398639, + 59244887, + 299947642, + 551763428, + 168075786, + 116343891, + 532351958, + 762391314, + 859096579, + 873760453, + 87831091, + 172714012, + 718044495, + 65589027, + 745796636, + 508992133, + 344301778, + 571924505, + 650814952, + 687683002, + 854407911, + 633236124, + 58273804, + 15004485, + 376501697, + 536860891, + 32201389, + 527873894, + 872541416, + 645762421, + 130530668, + 773235388, + 218130846, + 640163770, + 125554671, + 700800870, + 937442264, + 280623626, + 596093742, + 33235938, + 487866024, + 401145028, + 441355449, + 965234949, + 834844497, + 374988036, + 674694939, + 427550041, + 821741851, + 121483976, + 692554721, + 622309477, + 202812072, + 970361005, + 394407121, + 499186524, + 449148526, + 773619312, + 870774967, + 460168166, + 915796113, + 614369025, + 103288862, + 755144645, + 577684255, + 363840181, + 738655687, + 195474754, + 548639807, + 585390587, + 672922798, + 438204778, + 355929949, + 736839939, + 474433349, + 479866518, + 676532518, + 705156272, + 171220251, + 79393072, + 143835631, + 380050591, + 138963098, + 696201416, + 736719187, + 750288917, + 690561354, + 105766936, + 763322654, + 762652220, + 713379299, + 191503992, + 397094154, + 840692497, + 648409904, + 7792449, + 989269389, + 277374296, + 554530580, + 128419401, + 682746611, + 918027351, + 370681349, + 217935349, + 534943883, + 84590635, + 842316012, + 200860060, + 776868523, + 571609507, + 547755948, + 498478911, + 139292891, + 542338304, + 420395549, + 92549880, + 534257067, + 22898025, + 455377957, + 174717204, + 164140555, + 849989774, + 123620176, + 644576441, + 414066722, + 729138040, + 824572432, + 947834622, + 180464031, + 710890653, + 472271017, + 613674905, + 593016128, + 871038411, + 399191, + 190398952, + 777478367, + 479111441, + 248375976, + 937647836, + 203604353, + 489502750, + 473073985, + 933424578, + 702303676, + 248754071, + 720356513, + 745699978, + 631072955, + 895742857, + 779744951, + 755545125, + 246730262, + 280100439, + 815866078, + 732049361, + 329434046, + 274732383, + 132580788, + 320488189, + 35518717, + 617905349, + 559340992, + 956823223, + 555161611, + 632843321, + 734661996, + 12015986, + 778193767, + 83346726, + 120626162, + 245615184, + 621589550, + 369104929, + 738232059, + 43491660, + 536420941, + 978467733, + 615686312, + 544896973, + 738750059, + 804556770, + 796618719, + 287304998, + 286273513, + 473665279, + 748073826, + 371210278, + 262526552, + 182828122, + 816957295, + 154390876, + 801790290, + 813098697, + 794577011, + 80515197, + 470278221, + 506059236, + 436189703, + 966918479, + 626572719, + 245863160, + 292184347, + 911921762, + 773952225, + 219100443, + 305614933, + 740449676, + 973335512, + 868851964, + 576700937, + 854547821, + 408855037, + 578352824, + 374199105, + 364339430, + 415329736, + 706182885, + 216151965, + 654681024, + 738362851, + 723023314, + 385546647, + 797520396, + 368285767, + 907073547, + 378686891, + 746058190, + 469574038, + 226396615, + 343991409, + 855212674, + 37069095, + 136037335, + 512681461, + 181537820, + 628788994, + 154831616, + 454888241, + 674796279, + 997708893, + 323160762, + 614452030, + 886986660, + 214366572, + 250248939, + 838397244, + 830171495, + 496872500, + 470276641, + 367104959, + 370239443, + 459262182, + 147657407, + 561343399, + 613019485, + 770594008, + 481902937, + 839536177, + 700971153, + 577567232, + 498919850, + 152535211, + 936202494, + 217615955, + 662842516, + 737595672, + 418881311, + 492201555, + 760533546, + 592786185, + 374367012, + 800635234, + 552962428, + 910501877, + 601250324, + 221993220, + 173553811, + 504954057, + 163235665, + 526210927, + 917425152, + 94916067, + 946711251, + 316396976, + 642635578, + 706873873, + 604515209, + 105376410, + 401438596, + 829951653, + 933144992, + 675313252, + 924657052, + 588707748, + 235916715, + 991979999, + 562613924, + 929048842, + 641934737, + 312790544, + 894788696, + 895646083, + 482784340, + 90672080, + 342929734, + 548608281, + 572932609, + 547998283, + 558911653, + 27209108, + 876357712, + 462839669, + 726714504, + 102651069, + 327120614, + 49479217, + 728506248, + 382596010, + 457480722, + 769893166, + 764179563, + 700251204, + 435379075, + 636429166, + 905778713, + 43770334, + 679374076, + 323322269, + 687494366, + 998107963, + 271564500, + 990515627, + 308231711, + 628837893, + 896128917, + 843320208, + 382870887, + 264714357, + 85139429, + 140348119, + 578631147, + 354538822, + 4048335, + 210195764, + 629062578, + 387641628, + 221676559, + 347311946, + 298561879, + 409653590, + 106542022, + 405292117, + 986894746, + 747645365, + 640572775, + 365361789, + 839032085, + 346573067, + 230133271, + 850199492, + 685088021, + 255108698, + 201707868, + 652329975, + 340873078, + 579521357, + 939530378, + 797875742, + 173243649, + 518461988, + 773598598, + 167654640, + 891350609, + 420109056, + 241438267, + 965409057, + 846322747, + 255442642, + 293168890, + 477309059, + 214401933, + 151575989, + 999686802, + 671438292, + 403217671, + 279827496, + 773686537, + 624924847, + 864109687, + 498835900, + 526181526, + 424562823, + 370132077, + 958021142, + 619361621, + 689926739, + 914945229, + 275722006, + 451459162, + 505418695, + 786306709, + 788057705, + 399418096, + 327174521, + 995846504, + 848399330, + 366626143, + 892714067, + 784665677, + 796982979, + 963692215, + 838644547, + 250909301, + 215607524, + 209425645, + 33637024, + 487570401, + 944090701, + 236637806, + 261742033, + 961465464, + 20203639, + 943989676, + 404364187, + 21084007, + 937641771, + 988076060, + 23371151, + 544545664, + 77781758, + 754681749, + 67622818, + 635418340, + 866612061, + 140485141, + 191154401, + 636846662, + 190714451, + 2452550, + 65681144, + 196385762, + 285441348, + 616432652, + 105624619, + 656991385, + 633956222, + 430353799, + 80240626, + 934954835, + 80890200, + 198959226, + 635493068, + 819089308, + 605896178, + 485714928, + 241218845, + 722625242, + 371366260, + 792131562, + 655871913, + 791038563, + 190839385, + 864979334, + 430678910, + 847052480, + 802288291, + 773241783, + 993873579, + 57439035, + 343400372, + 368124417, + 754096227, + 371522658, + 975032317, + 449630689, + 909454111, + 690107781, + 814417687, + 144781229, + 115784844, + 285248427, + 198444196, + 789288102, + 668831166, + 309150763, + 443360455, + 109485013, + 680025273, + 62376392, + 311141990, + 743072586, + 667526187, + 30578159, + 994643860, + 74715494, + 212887928, + 148237342, + 760203288, + 745330428, + 196606693, + 987754525, + 437758794, + 404891190, + 937507260, + 613065375, + 102070911, + 15229914, + 151328645, + 838102532, + 236232220, + 191519346, + 429042201, + 478285367, + 772631417, + 20458334, + 940311693, + 276518589, + 477835738, + 246283514, + 97074812, + 88734161, + 92759848, + 991820124, + 102495961, + 314093431, + 661353111, + 971206438, + 812007547, + 414036725, + 482045967, + 154771634, + 811610519, + 952305795, + 801942713, + 198903183, + 399949626, + 353840075, + 584403139, + 466768740, + 947602240, + 127701071, + 252170247, + 211629586, + 347497091, + 752980204, + 558608593, + 234034966, + 680793786, + 434144943, + 57958290, + 606329832, + 353435816, + 9006563, + 894976813, + 295976637, + 334004455, + 267514398, + 656565280, + 364751667, + 59398178, + 455763576, + 44453277, + 863027875, + 477682748, + 839601955, + 141301828, + 711649616, + 754187159, + 77493080, + 766826490, + 168228087, + 307978046, + 621514422, + 7206479, + 623736142, + 597169952, + 955865176, + 32435835, + 34354190, + 633256567, + 979190122, + 788668453, + 957222349, + 950409696, + 864639486, + 745587234, + 45990883, + 553811285, + 230963018, + 648629578, + 615339344, + 594159037, + 113687207, + 482272232, + 119558572, + 21751453, + 742704770, + 199786164, + 734535653, + 605823319, + 731709787, + 74619403, + 538943114, + 409357894, + 649600862, + 253730538, + 562013278, + 274455824, + 517429287, + 783469245, + 711357188, + 749042768, + 883933280, + 173351592, + 686265159, + 975352470, + 156354564, + 485077778, + 807096668, + 966395511, + 782080199, + 854068023, + 96785181, + 745293616, + 851404128, + 544373979, + 680728077, + 447380400, + 820657423, + 267073584, + 266317815, + 928059589, + 637387117, + 803875836, + 840953589, + 175337463, + 725246466, + 595325250, + 7932068, + 319641824, + 358185802, + 444374662, + 522445087, + 883315649, + 438792029, + 822661433, + 363196247, + 109490145, + 353379694, + 932549278, + 911392589, + 890158943, + 400901370, + 278910050, + 934345056, + 288086163, + 447397669, + 529673002, + 303391581, + 642684909, + 510436052, + 2452068, + 783500104, + 213898837, + 163176819, + 935512293, + 110894216, + 387421793, + 689705100, + 716631432, + 641549776, + 216267831, + 919877366, + 372224659, + 873288035, + 583939456, + 38472254, + 904887784, + 127864388, + 645092081, + 822067636, + 63285009, + 356798095, + 459607521, + 838805039, + 632339124, + 1468712, + 345603638, + 297307149, + 894899100, + 409565086, + 312052073, + 351531128, + 967631542, + 862708378, + 4221787, + 489024187, + 460792097, + 425122296, + 701036372, + 169239436, + 494768730, + 703596537, + 67385173, + 25248935, + 240309742, + 976449435, + 715850128, + 546273897, + 398650009, + 604461635, + 892550973, + 880573467, + 357826380, + 267726812, + 119458518, + 130031115, + 479147030, + 259399620, + 713683481, + 612300755, + 160183579, + 40526590, + 347305188, + 912364449, + 974932502, + 350439057, + 883625829, + 56311945, + 737304420, + 809564853, + 159316934, + 227438176, + 20647206, + 736826475, + 295440742, + 329147913, + 96605533, + 335614883, + 809573801, + 192244507, + 13358584, + 860718084, + 770359743, + 820901900, + 592243826, + 452370547, + 508411417, + 797887629, + 50959861, + 164955685, + 970419576, + 464568409, + 94330999, + 136983671, + 414676345, + 9144979, + 94703430, + 483891575, + 616654624, + 83233019, + 545654569, + 737001285, + 912502644, + 80498787, + 799357849, + 526498057, + 506040441, + 994825342, + 457032474, + 707597693, + 454376690, + 149429459, + 565710807, + 897185101, + 879503398, + 481909735, + 804884057, + 785716323, + 217013060, + 509816336, + 314556963, + 861767112, + 193288261, + 629364344, + 491583266, + 168127655, + 254813330, + 780232306, + 426954772, + 842167237, + 274682856, + 166632736, + 499420123, + 839558997, + 424382775, + 975315411, + 938344038, + 841052896, + 652860952, + 900218636, + 520999118, + 963747491, + 643594968, + 553093268, + 112618230, + 735427407, + 443546203, + 719741168, + 258681933, + 741408560, + 610184494, + 81265557, + 401012702, + 282621574, + 143498856, + 126869200, + 657407790, + 24582852, + 520490498, + 937823245, + 852778650, + 254141537, + 422310951, + 477771511, + 246330956, + 510450387, + 162542121, + 717534495, + 656062648, + 139109222, + 382246983, + 504158742, + 756828196, + 992001664, + 422351855, + 40593011, + 912911695, + 788733754, + 568072556, + 798263339, + 468221402, + 604627699, + 745571081, + 54329265, + 224379249, + 16978652, + 158477961, + 866341527, + 754286691, + 571870407, + 61292560, + 580928799, + 809666583, + 653411711, + 711680418, + 739784545, + 461402203, + 962552564, + 700932188, + 755151248, + 872691290, + 271840409, + 144059653, + 580569000, + 934252118, + 947047882, + 821841106, + 867633537, + 57681533, + 411543269, + 249593245, + 151495692, + 376176671, + 937687912, + 400555785, + 177861240, + 144494917, + 268959441, + 173539479, + 447521749, + 191842288, + 580573710, + 546342650, + 134134906, + 244680700, + 283203045, + 498510458, + 140316864, + 81467865, + 873366708, + 919734154, + 612221827, + 119355976, + 856832903, + 722595998, + 512198518, + 199039326, + 640300177, + 516620263, + 417863209, + 480229147, + 956452607, + 839727306, + 285531294, + 36604378, + 860114927, + 318377287, + 418197852, + 993840005, + 566446195, + 975488721, + 341189208, + 627622333, + 73667105, + 464333402, + 193258587, + 166718377, + 70390886, + 174373372, + 838006823, + 765809563, + 665977461, + 187569982, + 30626304, + 494538736, + 949703767, + 778590642, + 949922871, + 946869598, + 915027418, + 314072286, + 624427031, + 942500740, + 359490187, + 81239799, + 759086484, + 367325823, + 161645554, + 785936762, + 51373534, + 326110723, + 374272050, + 391202444, + 876225223, + 935860883, + 231896403, + 671607089, + 110891714, + 373375991, + 445458918, + 528993496, + 561880223, + 450846125, + 925988030, + 138344035, + 997994271, + 65031049, + 96349637, + 660572156, + 555040750, + 590393181, + 322762122, + 415009817, + 148320367, + 158407900, + 952772042, + 902890867, + 551586489, + 940862323, + 843626195, + 962771051, + 603844712, + 666644326, + 374393081, + 225191373, + 21278118, + 57386114, + 15140219, + 925951430, + 46335618, + 843157187, + 141149602, + 64428558, + 702979676, + 885069899, + 529192389, + 483243507, + 117237608, + 714026187, + 145750521, + 852396971, + 37046850, + 94767189, + 895445330, + 799740360, + 812901332, + 958582623, + 184907230, + 922115856, + 590526681, + 703230716, + 395789462, + 441477394, + 759258463, + 440258385, + 787725935, + 291746238, + 613189069, + 702923233, + 377404410, + 139677013, + 365998506, + 961256380, + 435969706, + 483317906, + 158209065, + 546566001, + 358204651, + 853426092, + 30055646, + 457226199, + 358745433, + 724856586, + 768422809, + 330854873, + 641213220, + 153942009, + 324250109, + 668924536, + 680109154, + 93539740, + 748750542, + 473539826, + 622399647, + 334242246, + 992224325, + 200315414, + 259639188, + 989705347, + 402103029, + 804780574, + 636010559, + 708225532, + 669232369, + 314089962, + 507265996, + 600357636, + 316063262, + 116158340, + 429456680, + 444212202, + 438217929, + 63128353, + 614818178, + 692242563, + 687965372, + 228819513, + 510121221, + 75637643, + 665214406, + 397996304, + 500153638, + 897529117, + 915367161, + 240130894, + 22520695, + 276334604, + 926866979, + 833784214, + 835016554, + 476286293, + 628585804, + 410231549, + 576603884, + 249007509, + 839417781, + 294019159, + 916456143, + 175813045, + 760308398, + 404844998, + 68542135, + 840809673, + 172275336, + 103261200, + 23025111, + 538492775, + 513109566, + 241547863, + 674047362, + 679548637, + 265080891, + 633168424, + 126774711, + 734752569, + 170848240, + 497095257, + 96371763, + 738029873, + 758523862, + 271415853, + 544068378, + 154316107, + 794368872, + 303347802, + 635748311, + 962265781, + 887943502, + 516515780, + 239200770, + 971160216, + 773593886, + 928853698, + 535568036, + 492062707, + 220549273, + 498493675, + 701574495, + 161915236, + 637896528, + 313891535, + 581291887, + 556719290, + 382376434, + 823465065, + 831466080, + 500852666, + 842344037, + 790340698, + 21438197, + 656656513, + 750827842, + 377921990, + 528448648, + 141186589, + 728260145, + 670905000, + 715038227, + 342286047, + 966812948, + 144222298, + 381418312, + 68520645, + 563380281, + 415273682, + 15968827, + 161719865, + 879505908, + 873922562, + 877273358, + 580569983, + 848449682, + 2933244, + 749962741, + 460763502, + 311975615, + 439897065, + 764334511, + 683861148, + 8292504, + 107872849, + 826696138, + 692316819, + 121112593, + 975731494, + 335653947, + 815347480, + 660142649, + 43470078, + 205605, + 282176925, + 359873050, + 164584845, + 884131957, + 432446292, + 901674386, + 651654039, + 749098753, + 342301452, + 706262918, + 608352415, + 886486860, + 491619783, + 809670994, + 872524327, + 104816938, + 130964085, + 813355555, + 329442769, + 524781751, + 219965172, + 927595292, + 532647614, + 564947160, + 998086084, + 18937753, + 763726301, + 683175891, + 858516715, + 995702899, + 745889716, + 100792706, + 153506115, + 76372012, + 521483360, + 283086731, + 89611203, + 31617480, + 55198557, + 57549565, + 563808949, + 510553989, + 391500258, + 768943379, + 368518150, + 221290077, + 376202603, + 93375738, + 750648536, + 284354217, + 696136947, + 906544910, + 96760498, + 569201202, + 259008825, + 918587463, + 20558580, + 499952315, + 753891858, + 541627501, + 487667754, + 38885217, + 262145767, + 278674949, + 756776636, + 319106163, + 923211243, + 530026639, + 677064147, + 565683731, + 947684540, + 266200076, + 663528978, + 573292238, + 382006151, + 335140847, + 793845484, + 545746510, + 187456754, + 467016637, + 600234337, + 187123381, + 160403629, + 934170495, + 912361201, + 366042499, + 189110624, + 33666388, + 416863358, + 801158790, + 829543675, + 592334777, + 375418405, + 683880490, + 654654841, + 118432309, + 521899517, + 726161014, + 229011746, + 297748395, + 897545731, + 382840394, + 629694251, + 443021378, + 567238633, + 288873026, + 560698793, + 327517991, + 886367713, + 378003544, + 383172707, + 896538270, + 9976827, + 115073944, + 661040601, + 1376214, + 430212374, + 439554922, + 770063953, + 781526973, + 350187526, + 316400295, + 933378979, + 173428392, + 262426035, + 814450884, + 488592999, + 802921356, + 221797502, + 880801229, + 603392271, + 670842584, + 65877096, + 340617684, + 923083754, + 600896996, + 500098312, + 426140053, + 393785614, + 257907088, + 828850091, + 818442606, + 963762160, + 410929983, + 811570332, + 508120875, + 405539468, + 100437182, + 744662122, + 153380559, + 864870412, + 58466468, + 337220478, + 738511746, + 437008022, + 956113934, + 348852466, + 312113653, + 486834025, + 128203511, + 779770707, + 524093989, + 905862155, + 348270395, + 124027670, + 915430171, + 869326758, + 533964402, + 384214658, + 12824386, + 857541496, + 893583526, + 533843669, + 712768911, + 585056314, + 170458971, + 347630829, + 365297078, + 245687659, + 725292124, + 570426642, + 502767304, + 312821347, + 684515905, + 897139355, + 331215829, + 456806754, + 979563309, + 267837444, + 32074166, + 953439926, + 179433136, + 337659, + 258923251, + 751468537, + 49261334, + 213184347, + 149833786, + 963697446, + 417230731, + 382390474, + 764915020, + 530971612, + 121578345, + 366107679, + 455485684, + 232745, + 442778923, + 860910116, + 279080880, + 813505583, + 264563813, + 665952988, + 717083102, + 882762138, + 510974399, + 104640958, + 952493644, + 799244598, + 330081359, + 805585320, + 791298005, + 952554773, + 481269664, + 923096590, + 83426659, + 693545303, + 800841792, + 971740416, + 908456240, + 67985876, + 384318581, + 260427096, + 237090946, + 496763022, + 573031847, + 412631414, + 418431934, + 51781292, + 161496048, + 449227243, + 496618823, + 355104383, + 174734589, + 238432978, + 285620255, + 866037537, + 291950751, + 757735661, + 159768, + 721945339, + 521974809, + 207984283, + 653131249, + 431783819, + 9723667, + 680998321, + 823036050, + 900965529, + 110295829, + 830246963, + 855896506, + 218850696, + 494427170, + 972685249, + 837918661, + 53344095, + 689279273, + 224556043, + 473558953, + 862935210, + 674853974, + 910603311, + 538269987, + 399910239, + 18796429, + 431634118, + 91449448, + 921583915, + 794506749, + 653538576, + 117651110, + 418552700, + 85476135, + 147755682, + 281669879, + 670747565, + 823145331, + 308077421, + 511523823, + 598235260, + 412239799, + 88131960, + 884781840, + 186110047, + 375904515, + 849310765, + 868341235, + 130290395, + 315113507, + 892225624, + 534644521, + 343073463, + 451976860, + 497962034, + 408165227, + 441903747, + 573040987, + 86977914, + 123956782, + 396610856, + 931558273, + 688119548, + 790976508, + 245573275, + 291601581, + 656248525, + 298008695, + 786772492, + 613390146, + 847099822, + 974568212, + 321246068, + 240564386, + 647928424, + 847602720, + 949016252, + 338878002, + 75634749, + 492525584, + 103141922, + 998253559, + 746996486, + 169054144, + 339763405, + 642506066, + 354178723, + 522517737, + 787172146, + 733198521, + 457606147, + 777309176, + 516452955, + 234821649, + 889419759, + 601982684, + 608441910, + 738804935, + 614207646, + 716471846, + 348406862, + 200592107, + 707019708, + 624100061, + 840281521, + 458414150, + 998086575, + 227248965, + 852880251, + 821086190, + 48595945, + 399426074, + 7927466, + 538210883, + 990327560, + 490188897, + 50689428, + 940800745, + 106269393, + 895311027, + 637955384, + 961963731, + 583068745, + 351290155, + 518841721, + 124895063, + 94346160, + 118250393, + 123751013, + 567095575, + 182110409, + 222365465, + 543598211, + 511953088, + 787948569, + 310687219, + 812023653, + 606039563, + 502728488, + 222671322, + 156224459, + 154937941, + 861139292, + 782655294, + 232746794, + 821776358, + 191623848, + 34339665, + 882976489, + 772287636, + 544615473, + 597248991, + 347417269, + 260472775, + 720535127, + 498067533, + 473599533, + 819712165, + 803123921, + 114629441, + 446524563, + 407595221, + 899654148, + 155165141, + 182572343, + 582476810, + 803824913, + 96917304, + 608705695, + 32018385, + 566127628, + 29114836, + 708600493, + 260536221, + 281263548, + 537873888, + 386393177, + 681078981, + 220181334, + 787690871, + 207665827, + 267407734, + 549721932, + 531030630, + 692173619, + 984961476, + 977468830, + 351793322, + 588199816, + 479107548, + 238954636, + 896858407, + 596981637, + 903434525, + 858801302, + 821848353, + 617487598, + 132090093, + 817975598, + 772685445, + 480303585, + 488252276, + 864278074, + 869660804, + 18446466, + 410190665, + 705905443, + 816452212, + 722333019, + 114718899, + 248433458, + 621374398, + 822690501, + 344557981, + 880791743, + 782215487, + 935446963, + 189469762, + 231860929, + 68074409, + 274422827, + 291380196, + 201378492, + 311604057, + 636679097, + 674422385, + 718934794, + 80968584, + 782344741, + 386682386, + 541978459, + 600129945, + 26473624, + 356799255, + 49310159, + 549277166, + 502769990, + 735659307, + 479328110, + 147247989, + 923591939, + 408962240, + 895378714, + 458770547, + 154366063, + 595643079, + 47154528, + 649872477, + 890566476, + 870492616, + 119349121, + 349463332, + 566058561, + 392226432, + 789726112, + 444290190, + 207795358, + 365104680, + 389859919, + 483121886, + 486461764, + 612641460, + 98575684, + 250052760, + 423985518, + 228653970, + 499410570, + 854026828, + 40881674, + 452029559, + 712098956, + 620405309, + 653515278, + 98265128, + 379052215, + 408101064, + 429179679, + 565599961, + 770055062, + 546746128, + 615313917, + 286206970, + 885340228, + 924356842, + 834804395, + 535306426, + 13996192, + 595784505, + 311460842, + 812547195, + 396454669, + 347068147, + 538898290, + 30666219, + 310822470, + 552167945, + 693377729, + 648777736, + 606809643, + 416950238, + 39116275, + 994647640, + 743743800, + 547157237, + 827393521, + 970255773, + 196340923, + 912530028, + 452604715, + 269458809, + 239757323, + 229221335, + 719808894, + 846619707, + 430449199, + 371588858, + 981649651, + 687224424, + 417070380, + 5217890, + 380904699, + 229346395, + 783590248, + 105866654, + 44850498, + 797492877, + 219508540, + 326675470, + 466150584, + 465179336, + 839443964, + 586047361, + 491757433, + 440637715, + 739189904, + 609185153, + 820658353, + 297669685, + 654572171, + 678048029, + 692327674, + 773062573, + 841516965, + 454282739, + 276275203, + 589208831, + 710851411, + 220379156, + 354647533, + 366380643, + 122998295, + 812479826, + 549098577, + 604215178, + 209814372, + 914072055, + 701935750, + 875611418, + 983205652, + 596758087, + 995053382, + 948625690, + 927681121, + 465623278, + 688864536, + 226910793, + 255175729, + 34430623, + 525424258, + 393908664, + 212282245, + 64943964, + 586190407, + 266612941, + 562803300, + 689504719, + 331042656, + 410729346, + 192705866, + 885904105, + 496045229, + 78066311, + 117923444, + 642202124, + 381229161, + 823133535, + 126034898, + 914586881, + 186561395, + 565832678, + 991932322, + 499218579, + 681919284, + 491977898, + 907078347, + 283751704, + 985884895, + 967599307, + 982855881, + 22200354, + 356593169, + 645895361, + 806316211, + 482048817, + 189490694, + 550868249, + 627232091, + 738506602, + 277389714, + 900356220, + 965465105, + 642320204, + 362466666, + 906987727, + 363216965, + 742610788, + 23875957, + 533460242, + 14477543, + 336332778, + 878604456, + 485569359, + 751912859, + 538209978, + 365935489, + 769198444, + 998031693, + 328513096, + 84148461, + 319795204, + 919112878, + 261810429, + 49989421, + 188097625, + 288377556, + 165184798, + 421486265, + 436824984, + 633858855, + 267779772, + 562760533, + 16550226, + 549205106, + 276460750, + 319480434, + 855854126, + 250497334, + 813668944, + 69405367, + 953129364, + 16664304, + 691032420, + 471297948, + 339437920, + 13902324, + 605685687, + 513155004, + 830612912, + 883389377, + 876208357, + 510861580, + 893923786, + 557222757, + 983249811, + 692201327, + 270621964, + 556158895, + 315328540, + 396380967, + 580366028, + 468223727, + 63813728, + 509272947, + 566063995, + 730371153, + 775496743, + 382960841, + 235493609, + 646046593, + 948954801, + 92908437, + 291004803, + 28454485, + 913463518, + 790740450, + 182435888, + 487147985, + 421501634, + 878007683, + 460419315, + 372962212, + 624329582, + 420504403, + 150682114, + 511386944, + 629711016, + 187031405, + 350582580, + 206440111, + 227579959, + 428276338, + 727425908, + 216702924, + 968952334, + 519584624, + 50209217, + 117928222, + 996291318, + 960158891, + 521653959, + 223107533, + 143139910, + 541790350, + 407657678, + 367068437, + 559272817, + 872192817, + 397274366, + 52845081, + 199452570, + 653984040, + 227275544, + 612505797, + 491445531, + 807283331, + 110195359, + 291393495, + 681101683, + 129576104, + 492923964, + 634780850, + 192970498, + 795300869, + 287208728, + 763265829, + 852166970, + 335304293, + 179947098, + 695272343, + 120160302, + 410302888, + 831918772, + 634181891, + 170175529, + 836062086, + 199106104, + 790204538, + 899386796, + 2306211, + 260657160, + 6944574, + 192340118, + 964882408, + 104726379, + 531278451, + 788548997, + 287376619, + 463520714, + 834258352, + 963361740, + 792281980, + 621104506, + 409176018, + 286814982, + 124381367, + 450924531, + 840362209, + 918152482, + 941738740, + 696163934, + 357543841, + 375179419, + 879236908, + 838815128, + 707150851, + 13000434, + 657219812, + 896184373, + 410799321, + 254041464, + 61276274, + 963239117, + 50420946, + 156965280, + 601428529, + 52929091, + 716428147, + 609200529, + 554011147, + 543502765, + 493577659, + 78280222, + 490380279, + 950352396, + 326849010, + 777647061, + 414951598, + 976933357, + 177811822, + 642568524, + 618400882, + 4046329, + 954193571, + 959123384, + 349154524, + 454878775, + 521535202, + 685079986, + 472853312, + 440566840, + 320525820, + 490590934, + 429953333, + 370578556, + 222823637, + 125591633, + 518683019, + 122210378, + 277250220, + 308348652, + 357575120, + 58058720, + 371840425, + 519156901, + 741623454, + 484389517, + 999979426, + 149825589, + 513275019, + 517963637, + 455117064, + 60023032, + 108110138, + 282583854, + 100625418, + 609922080, + 602279293, + 361227197, + 337780166, + 258463150, + 237433997, + 755541788, + 440633712, + 667829898, + 520871625, + 549991751, + 52837102, + 698200506, + 800480307, + 349216414, + 749890541, + 368355506, + 217943087, + 800718553, + 2959189, + 98495595, + 624570480, + 205793900, + 306543657, + 260482010, + 429241576, + 468202902, + 640322090, + 821502635, + 190223082, + 969660404, + 956313794, + 90029744, + 776516312, + 663207192, + 877721263, + 486162291, + 642871749, + 756548011, + 397231330, + 211235169, + 491834110, + 737338451, + 111630968, + 734494753, + 100247775, + 601271560, + 424252792, + 993874956, + 246735618, + 235016229, + 780959680, + 49920453, + 81242087, + 336197488, + 46739559, + 72173474, + 30937988, + 798252414, + 280870873, + 485953609, + 706493530, + 937364318, + 299429452, + 150415622, + 461289952, + 120932482, + 206184422, + 974467711, + 906681768, + 543315717, + 367055390, + 32193065, + 157168728, + 696680991, + 945470820, + 692998586, + 729070143, + 91810378, + 41430493, + 113979681, + 554239482, + 652653691, + 708044816, + 150752809, + 856798119, + 874327728, + 514300169, + 936081418, + 188121884, + 577406915, + 124387665, + 778249932, + 620911393, + 486629438, + 768917722, + 482081260, + 146096353, + 919824841, + 869903632, + 830890695, + 635695974, + 379445396, + 633588634, + 419540921, + 941021315, + 145821830, + 156137233, + 773844429, + 842913593, + 90163063, + 841202107, + 782564079, + 217967540, + 517341231, + 352290740, + 367604639, + 561116435, + 821248015, + 244148842, + 576010686, + 327592162, + 127943208, + 20653178, + 238770147, + 116403344, + 829611187, + 873785751, + 211788006, + 397387810, + 207096443, + 501899762, + 568760900, + 542299211, + 204828811, + 755485223, + 500927972, + 406403126, + 684999797, + 104293639, + 856314901, + 283623929, + 205300533, + 587623482, + 87558509, + 788022713, + 981110289, + 377877650, + 108804551, + 140527476, + 717063482, + 323899426, + 309930879, + 103673047, + 711000425, + 768468621, + 217684134, + 948727042, + 493584095, + 763833645, + 126237106, + 187402847, + 941111956, + 510630299, + 551222355, + 971187624, + 420174995, + 55728558, + 992689907, + 536040511, + 775829268, + 393938242, + 784381350, + 512360303, + 184531923, + 338013727, + 541871789, + 715223202, + 414736566, + 848369308, + 157690982, + 439723507, + 137212142, + 821296177, + 457326783, + 177535554, + 880235950, + 702560221, + 131772177, + 897632616, + 238071357, + 865954645, + 136661367, + 868425002, + 595364595, + 364492853, + 410748516, + 23620486, + 797154329, + 38195027, + 968988967, + 977640090, + 370894268, + 107037074, + 503337843, + 827141652, + 960963541, + 481726630, + 812294031, + 618584284, + 835403834, + 806332040, + 226422629, + 269497427, + 362761982, + 756455644, + 429275808, + 718851443, + 784165307, + 88137399, + 376338729, + 449027318, + 865176641, + 58615597, + 314146516, + 233097736, + 682800090, + 985435713, + 475772500, + 710905425, + 833395336, + 33326755, + 760752639, + 219055682, + 752944299, + 926227329, + 881770688, + 379003430, + 384903948, + 438428386, + 793477160, + 488580922, + 312295223, + 594381371, + 425851400, + 657273500, + 753014353, + 701724814, + 134368644, + 218524169, + 461564927, + 412531485, + 274445407, + 529874449, + 887024990, + 615402004, + 50282401, + 294769152, + 339441127, + 746274339, + 879518605, + 618824549, + 298441905, + 312499555, + 387648213, + 520818137, + 739253936, + 626874234, + 585033942, + 135919525, + 543838987, + 263582901, + 250769586, + 560248378, + 596039331, + 779558128, + 835975183, + 704525381, + 149609245, + 981553345, + 993072674, + 570082286, + 259470053, + 603658908, + 723244229, + 151138275, + 442681794, + 306171003, + 663818984, + 586159628, + 613983326, + 280783242, + 191987933, + 973623946, + 680793175, + 234107382, + 940472371, + 326049458, + 627193409, + 113913392, + 629223251, + 47777033, + 245043, + 996830701, + 614955710, + 520566934, + 842689609, + 924052163, + 276899044, + 830570275, + 19011674, + 502291744, + 36707905, + 117617134, + 161175155, + 496087486, + 483057730, + 525034182, + 20761697, + 956747859, + 816767526, + 385901577, + 913839340, + 22024799, + 421698842, + 164188514, + 843744414, + 662160687, + 817584121, + 295442071, + 882058102, + 868964577, + 275036126, + 214212771, + 739542573, + 625384606, + 128643268, + 907698340, + 427305156, + 422101613, + 329923711, + 424855536, + 354741513, + 848435351, + 704151706, + 451179717, + 233934086, + 405443156, + 16694297, + 855400196, + 783515507, + 498318655, + 964655296, + 299303565, + 397261968, + 520069747, + 689576291, + 756774446, + 878208779, + 662366957, + 37210364, + 333917203, + 361791519, + 730491638, + 181980761, + 549043086, + 788984727, + 843335630, + 557771649, + 157452611, + 721320900, + 118322989, + 954694851, + 164676287, + 221062004, + 658619923, + 598283288, + 784313299, + 833988250, + 208065737, + 764816021, + 180327382, + 265572096, + 761658654, + 863214027, + 106279028, + 158709020, + 25477440, + 941675929, + 808414128, + 436055768, + 999507170, + 92544296, + 85024576, + 385409467, + 26177231, + 190508335, + 711449051, + 544085237, + 773092606, + 946031057, + 9147137, + 901986310, + 492508593, + 24430040, + 719007675, + 156331773, + 681066184, + 259135457, + 466115244, + 914616588, + 179668747, + 135106304, + 444578854, + 329289695, + 543380255, + 832512051, + 830300638, + 742532305, + 693178321, + 362654818, + 454325430, + 85179909, + 771373308, + 768347313, + 283718289, + 781332990, + 842520425, + 294971944, + 628138743, + 48418347, + 714271802, + 993018547, + 290133045, + 760392693, + 380855177, + 77328480, + 541276022, + 643860528, + 24887083, + 856069018, + 995174002, + 557056572, + 412190044, + 621050154, + 850705083, + 325890950, + 913981241, + 161619560, + 307647676, + 377472342, + 348847820, + 715659266, + 563717105, + 213179093, + 219841309, + 864014093, + 619960943, + 779025081, + 669197022, + 105200758, + 1712610, + 578611124, + 585892920, + 240968257, + 617956629, + 971660499, + 145551811, + 919453138, + 841663618, + 318176871, + 280447817, + 480586488, + 811756392, + 901940040, + 306589835, + 36245769, + 268212776, + 648047806, + 122321765, + 553401625, + 973126334, + 819217528, + 460265058, + 509159510, + 982124813, + 545814618, + 136038933, + 973778858, + 876289699, + 718127074, + 432149555, + 114446610, + 819026475, + 856134517, + 173862503, + 819184307, + 383449933, + 564466685, + 167659921, + 42228039, + 380884469, + 644201406, + 845860713, + 13746872, + 248902909, + 405704880, + 491774951, + 308841684, + 247135843, + 760455084, + 684061597, + 659647924, + 906381871, + 686900054, + 944946583, + 265007391, + 697489446, + 850929243, + 650703236, + 170322349, + 826356374, + 490477120, + 877136493, + 629198072, + 170969520, + 601766041, + 108306511, + 308526160, + 610300013, + 956025657, + 674914614, + 989371530, + 724152922, + 406752407, + 561621282, + 957401359, + 608038888, + 779638689, + 579405511, + 830226719, + 1361716, + 155339681, + 791116098, + 661990103, + 942179664, + 378703473, + 294198979, + 197619733, + 460723542, + 650115072, + 541792500, + 19439547, + 989458207, + 270591328, + 82642802, + 320491878, + 15944256, + 572741035, + 938614036, + 533658593, + 120880260, + 389804785, + 302677665, + 833314604, + 174531212, + 739888957, + 246146934, + 223348808, + 290614989, + 533264548, + 332310647, + 249203043, + 596895552, + 185285905, + 917742306, + 101416699, + 773274855, + 125834445, + 970722613, + 864933252, + 299901189, + 744450222, + 380608088, + 965652699, + 756424801, + 307174582, + 746136002, + 233676301, + 855479540, + 128403306, + 286563154, + 544287400, + 338212098, + 994233201, + 98702645, + 852780946, + 491953787, + 939544884, + 536476775, + 55977326, + 946477867, + 272803237, + 51009976, + 596296269, + 800007909, + 846179116, + 751715832, + 867682762, + 500240735, + 734219971, + 367690914, + 634525297, + 916585004, + 625334193, + 474705578, + 591768934, + 730284315, + 977266647, + 454416091, + 209679072, + 943607119, + 161045671, + 589979405, + 452858721, + 478161800, + 164998904, + 361540760, + 876419452, + 926533639, + 960718316, + 145132051, + 679832182, + 323074592, + 126211130, + 785965463, + 901605177, + 423569508, + 543209649, + 340975508, + 687924899, + 366904522, + 289934338, + 440559661, + 746890450, + 329842498, + 649834424, + 246537112, + 337877716, + 637221436, + 333924343, + 670371206, + 769618090, + 658259270, + 769424175, + 705753403, + 42053232, + 848244068, + 821735380, + 198954534, + 714751261, + 714175317, + 938863051, + 411775358, + 560041747, + 750770452, + 251886139, + 404673499, + 872686658, + 937234361, + 188846632, + 460904175, + 586901741, + 986646915, + 19227211, + 565389539, + 389129850, + 616904688, + 253188719, + 91158905, + 796557200, + 578165454, + 310326402, + 621071443, + 631273376, + 430117655, + 23839794, + 868764425, + 763736286, + 592750275, + 756813327, + 917766214, + 634322729, + 8189203, + 411926204, + 928296127, + 74638292, + 48275083, + 795782438, + 964837334, + 523828969, + 350204143, + 847261555, + 145939545, + 361811987, + 591602819, + 413204936, + 595383384, + 503824436, + 356590613, + 44735604, + 213627169, + 439524404, + 192624446, + 961544489, + 213949769, + 411950078, + 769314014, + 635639724, + 733779946, + 141894335, + 153130877, + 218877740, + 812514690, + 299348373, + 318174564, + 672150864, + 842185365, + 366482461, + 489119415, + 856227392, + 79127334, + 448142449, + 331040612, + 601460194, + 199163389, + 329351572, + 379080992, + 931492957, + 885448222, + 414607879, + 9865567, + 441840607, + 543632852, + 993953541, + 551355779, + 557116200, + 548554295, + 164515601, + 339348860, + 697664406, + 940935064, + 963633352, + 131440812, + 697837125, + 466779188, + 980445145, + 953032009, + 509245392, + 306677059, + 880499684, + 65365690, + 322524642, + 830131893, + 45941680, + 616660823, + 998493429, + 672409648, + 646310056, + 434597813, + 492119412, + 715597754, + 136208747, + 979973665, + 825355440, + 12636845, + 448719488, + 123177503, + 340723982, + 661721726, + 16979030, + 362566039, + 526578106, + 591268603, + 772909969, + 864933823, + 687225308, + 989726966, + 936782861, + 86862427, + 79493654, + 739307914, + 867459947, + 114315652, + 665227881, + 277039228, + 325101302, + 610736783, + 386422037, + 799900399, + 343517507, + 162765339, + 744348348, + 731899517, + 521479840, + 222343874, + 549465030, + 487944090, + 726596325, + 208489028, + 968636465, + 429354682, + 704680156, + 785126779, + 592441634, + 28213188, + 131056651, + 309993619, + 187007152, + 504679453, + 750708112, + 932982076, + 164207432, + 426942136, + 635420477, + 406843445, + 101269158, + 643304709, + 441221306, + 426391481, + 655107293, + 959736794, + 760035059, + 312166929, + 456623159, + 624148732, + 159385433, + 986596260, + 953777007, + 557448155, + 188859353, + 816258821, + 749671646, + 505459063, + 123363884, + 572735513, + 96965693, + 337133156, + 43384706, + 924855384, + 77008918, + 654640105, + 263460298, + 798903626, + 858095101, + 74233749, + 745723065, + 398989212, + 937575734, + 520579152, + 319590705, + 722949888, + 438546210, + 549296243, + 48860621, + 51197155, + 875513367, + 954957279, + 146383933, + 103146233, + 785585212, + 815508657, + 216863371, + 840307540, + 922870734, + 867343285, + 579770621, + 450250038, + 490164571, + 991389703, + 641703796, + 407265229, + 921228637, + 551625845, + 523428615, + 796169792, + 147130299, + 360140334, + 785603002, + 970625185, + 267182551, + 364112366, + 993391772, + 530670478, + 65901199, + 360230933, + 406505087, + 608658428, + 104822226, + 448937658, + 930715535, + 698528166, + 244292348, + 441451548, + 947154800, + 701064371, + 658946533, + 609794881, + 909422781, + 559408081, + 989998809, + 295505073, + 760871442, + 175400483, + 820622616, + 738488630, + 276147133, + 20488681, + 891039647, + 629475424, + 251632146, + 263505424, + 242423762, + 368640091, + 223205437, + 470907878, + 884550018, + 340978535, + 352285015, + 671974514, + 277374711, + 868506412, + 705019112, + 900040069, + 940660371, + 504054398, + 772706266, + 662283657, + 712929266, + 163869271, + 227327409, + 324866533, + 132639465, + 747834951, + 187004990, + 882372377, + 556791382, + 937859710, + 314456839, + 425305753, + 948288934, + 851804917, + 576973905, + 205802083, + 279450197, + 30416676, + 715932020, + 696186556, + 942011903, + 252031837, + 918987810, + 394695440, + 898698400, + 300689394, + 673951568, + 98226237, + 230600709, + 424006781, + 436268414, + 114047805, + 838517157, + 434354992, + 450448581, + 855931897, + 477926696, + 884544112, + 305135953, + 361354704, + 242539185, + 726194826, + 60219042, + 980171883, + 555408966, + 30370764, + 156736082, + 907711360, + 380709729, + 901022114, + 926595680, + 355880106, + 559098416, + 486834314, + 570385782, + 636313766, + 800078883, + 541015939, + 675825003, + 390227193, + 111226425, + 909952193, + 796977256, + 557949376, + 755834216, + 615545335, + 872811530, + 939644280, + 574345566, + 912914538, + 719202877, + 982849568, + 34756910, + 820404397, + 526747196, + 775449939, + 339607073, + 461570893, + 462102393, + 358172719, + 711115398, + 379053612, + 419672390, + 974558320, + 948550169, + 427081534, + 998301320, + 91150345, + 797911924, + 108013225, + 761621193, + 305673826, + 171959362, + 610391906, + 646042937, + 180881983, + 656952004, + 47181714, + 511917547, + 461362063, + 570420510, + 108669174, + 788448614, + 207527329, + 507481344, + 302304025, + 195545006, + 82520388, + 794214073, + 753653964, + 792126992, + 110174412, + 660801647, + 719371486, + 521703890, + 909061821, + 50038249, + 842772780, + 154140893, + 152299512, + 258872363, + 593028043, + 600764414, + 613346181, + 673152124, + 927938011, + 767329378, + 629405821, + 269327467, + 796527314, + 652295758, + 699864342, + 634738628, + 983842475, + 126081053, + 651491916, + 699642801, + 748464326, + 957903030, + 775421332, + 982620126, + 435130275, + 635980195, + 41160443, + 909353153, + 615823951, + 692774949, + 344163480, + 519625243, + 300195901, + 512064480, + 826868890, + 54974031, + 613490168, + 848575837, + 686507571, + 922736368, + 744816277, + 276079266, + 296079636, + 442189600, + 189346955, + 590520268, + 621794822, + 944089615, + 891680113, + 513565007, + 832811717, + 617561768, + 156693609, + 467613533, + 558492596, + 104578300, + 553813186, + 34518498, + 201190063, + 468360317, + 376544087, + 746833394, + 816112070, + 499988634, + 190037094, + 470342488, + 849528371, + 497721043, + 940868929, + 860706981, + 230913132, + 979773257, + 422037593, + 145853987, + 561107608, + 381983232, + 571480783, + 712399158, + 932757900, + 495440318, + 28402301, + 138853759, + 22651967, + 808111315, + 429361799, + 961025254, + 782688443, + 221524571, + 172358431, + 294422605, + 217493096, + 172678090, + 992936808, + 173799229, + 259245794, + 256805505, + 615177219, + 814190202, + 806180639, + 979024670, + 132060056, + 20556529, + 117784372, + 233642894, + 545939742, + 115096281, + 209682224, + 583594200, + 255424880, + 59717067, + 274549927, + 131666471, + 633151990, + 139467571, + 983486044, + 212068536, + 407702327, + 406662561, + 314170473, + 609057381, + 204806350, + 380489188, + 959983080, + 98731331, + 28572301, + 954227442, + 474221509, + 444602218, + 579053013, + 164651006, + 961369079, + 660210294, + 181310201, + 497708860, + 972787285, + 853777818, + 367213993, + 104217037, + 899288873, + 372341999, + 596478806, + 6876653, + 388067470, + 429736422, + 106844395, + 362595910, + 262696474, + 802106511, + 524369152, + 117469657, + 351611813, + 814708269, + 277636878, + 325567566, + 696721191, + 675842861, + 592085245, + 754151818, + 138074933, + 588351872, + 260247399, + 393927098, + 20455095, + 352664708, + 778597162, + 143996345, + 15491096, + 864241300, + 711934825, + 205387306, + 796390747, + 175736912, + 213977265, + 72411407, + 843348613, + 709882970, + 549465453, + 515621888, + 189591920, + 759774136, + 535241566, + 803932232, + 947444688, + 964271771, + 889230443, + 230319887, + 184270474, + 315665633, + 826674530, + 834906030, + 954634405, + 446545369, + 944039496, + 122453816, + 643895199, + 760516931, + 142662424, + 202068401, + 243294111, + 723160711, + 731647249, + 847666020, + 902006440, + 287034562, + 415893500, + 364947651, + 461710160, + 930878122, + 107338839, + 43291915, + 472926475, + 744616403, + 144869463, + 31761987, + 891705275, + 771266725, + 434000439, + 200214025, + 563782106, + 693324886, + 991874726, + 926265523, + 891130057, + 305592562, + 301308076, + 182212263, + 968207952, + 629700422, + 279005368, + 445227561, + 839448745, + 664567249, + 453822222, + 364909984, + 748102661, + 807240643, + 180402129, + 213194540, + 239965833, + 222183498, + 936944942, + 776206955, + 554128876, + 661858630, + 457861821, + 28167338, + 369608636, + 416303540, + 483894168, + 518428140, + 549690892, + 995100323, + 476926984, + 899627863, + 608069000, + 669675651, + 547840593, + 520804536, + 599919776, + 415877640, + 222262397, + 807375798, + 958965408, + 182328057, + 101760711, + 638006756, + 395734780, + 907810865, + 485855980, + 672239160, + 165784139, + 884678747, + 342706651, + 645021880, + 961669568, + 549194915, + 419657253, + 630710378, + 261300033, + 980465445, + 959726180, + 88558392, + 881224540, + 930280702, + 300540117, + 746905972, + 954847387, + 608502263, + 372403145, + 35289151, + 723330398, + 756035326, + 368928464, + 214197040, + 247319518, + 581888560, + 620896055, + 144445075, + 38609320, + 525102325, + 586259224, + 182875124, + 42800660, + 630811607, + 218705081, + 987364233, + 807310512, + 399591623, + 200987322, + 464006531, + 551321492, + 743570043, + 76648754, + 785780462, + 427986642, + 516233167, + 267484932, + 676309418, + 628475898, + 998835512, + 380313020, + 824066439, + 599943429, + 362322164, + 824883466, + 805212089, + 434294925, + 601587028, + 788326671, + 458821388, + 413887434, + 743745737, + 837917638, + 159394787, + 329235459, + 357331175, + 321043898, + 794117050, + 317808246, + 139649744, + 981486398, + 879106055, + 609280062, + 515104245, + 505762842, + 556022671, + 160931189, + 489195583, + 140240800, + 183607619, + 98905870, + 556334596, + 863614356, + 226175834, + 707859522, + 295191893, + 38646451, + 68354487, + 296224209, + 627787628, + 374931585, + 413149707, + 437723717, + 966711601, + 323592472, + 671690963, + 273987660, + 791754087, + 309814027, + 853663379, + 81566561, + 552819121, + 149702555, + 368301927, + 862604187, + 402838623, + 349284169, + 747205580, + 484053083, + 71822118, + 695198028, + 375917943, + 106664549, + 605851767, + 487555504, + 970836060, + 478542705, + 799525831, + 136831595, + 510820288, + 903503748, + 812869855, + 286582540, + 611016794, + 91110357, + 797152280, + 2938279, + 47757710, + 23104934, + 575552013, + 694761277, + 744456229, + 687306414, + 321265239, + 716796402, + 155116265, + 189880509, + 307435632, + 403284599, + 917690937, + 38193593, + 861462088, + 811415080, + 772051082, + 590342491, + 720430355, + 710521098, + 694622684, + 273921236, + 172884934, + 715260063, + 347314263, + 874898591, + 21324035, + 895832717, + 332386506, + 594343913, + 790550403, + 693002375, + 77932346, + 205045702, + 444905923, + 152536119, + 174660388, + 933795101, + 384520548, + 591200622, + 378629516, + 87521165, + 125641881, + 787625626, + 310431981, + 849752910, + 217591906, + 92841760, + 450952130, + 703448128, + 233180580, + 343539270, + 88577582, + 743180295, + 447999661, + 544877296, + 2395745, + 693529895, + 712162349, + 704388082, + 418185385, + 709589780, + 381228772, + 909714420, + 463839344, + 875533097, + 71732290, + 624235240, + 234328455, + 849131331, + 620029542, + 20744961, + 39425396, + 651298430, + 728366276, + 340304243, + 654092523, + 341137214, + 576926536, + 166850192, + 767342380, + 927285204, + 886982387, + 856028395, + 868826684, + 349744492, + 731817101, + 155717045, + 217098133, + 421409116, + 241204741, + 379033908, + 104109596, + 557413457, + 854816434, + 848170611, + 767150303, + 169283972, + 65693602, + 542915213, + 618194088, + 754400888, + 899211639, + 736481990, + 663909863, + 52967659, + 839603181, + 811539937, + 658428501, + 848013867, + 478006369, + 637470612, + 909331631, + 610103968, + 12784129, + 574661650, + 84886174, + 801660168, + 134928101, + 672340358, + 589576309, + 862590747, + 795265671, + 293562901, + 806276142, + 17435055, + 468195676, + 32829469, + 23259558, + 152186930, + 331510298, + 303994497, + 954716255, + 489713692, + 993799788, + 149762880, + 929889707, + 625384897, + 295633632, + 28999372, + 972435607, + 811121924, + 492650125, + 475237521, + 929433721, + 20696408, + 81608107, + 727687020, + 906564263, + 359576693, + 314985550, + 676528890, + 540594949, + 398734549, + 431913760, + 783648331, + 621672656, + 670597001, + 292909422, + 477931563, + 23977796, + 489983524, + 364506731, + 649088787, + 122893686, + 449147509, + 975830640, + 960687309, + 44034244, + 43989281, + 383926375, + 386379940, + 559437593, + 322418379, + 956229266, + 14597367, + 186957848, + 76807179, + 967210433, + 807246467, + 871361327, + 269375564, + 976004845, + 519056403, + 451583444, + 748328502, + 754692349, + 864027745, + 358508997, + 247804975, + 272215318, + 2949372, + 542772065, + 556821547, + 679288007, + 526296936, + 903773010, + 831617071, + 120430601, + 286042570, + 563012674, + 569160163, + 755157617, + 217152111, + 419280484, + 666439282, + 179625075, + 532497264, + 349355241, + 984017703, + 344036363, + 582920899, + 372188908, + 18413440, + 552541710, + 732836734, + 805555667, + 330716090, + 615031046, + 144718861, + 892064309, + 627203728, + 78036906, + 230708085, + 137578195, + 905229731, + 986895209, + 86896474, + 388949455, + 772135168, + 673503886, + 632985467, + 765631833, + 421880375, + 885007297, + 839099759, + 123686965, + 772645858, + 32367062, + 376382608, + 500710485, + 325497209, + 496539180, + 310554115, + 511574991, + 661626656, + 834671442, + 63380510, + 188906442, + 804579401, + 266149788, + 160857338, + 97152706, + 709421166, + 923246661, + 455559695, + 665538924, + 260625800, + 42814107, + 407074280, + 406817579, + 151990798, + 598866318, + 918725392, + 502753028, + 606221713, + 473905485, + 351242321, + 550196055, + 123714281, + 443750308, + 226831297, + 348247174, + 251706539, + 789196729, + 883204548, + 934796182, + 260116666, + 869094784, + 781845297, + 900261430, + 959656266, + 595222161, + 950826166, + 753410604, + 569311779, + 437721562, + 732633234, + 453250445, + 750692612, + 725533101, + 385305998, + 881471255, + 841346732, + 720748827, + 448519264, + 489730810, + 663281417, + 936270698, + 761968532, + 662960019, + 518934522, + 433996149, + 486169707, + 919089634, + 207976247, + 78111422, + 540142208, + 572193855, + 23104356, + 554123773, + 877099912, + 764626475, + 61456369, + 527532467, + 955766234, + 779672878, + 886198689, + 307317019, + 696354706, + 923472889, + 462076432, + 613506898, + 378354713, + 783073866, + 41087837, + 676355157, + 353123302, + 531897793, + 417537047, + 988693717, + 7275835, + 77328185, + 293573892, + 993252209, + 116996457, + 373086841, + 308178701, + 733331568, + 992591110, + 242779561, + 203509859, + 476261734, + 999597008, + 273797533, + 822634593, + 552598053, + 994659564, + 359155586, + 747471188, + 514021673, + 587098634, + 892796682, + 513032552, + 644489503, + 339320090, + 690270924, + 484083341, + 925719610, + 33963532, + 775484531, + 574721029, + 847191628, + 470495603, + 51266344, + 544804399, + 182828263, + 222246885, + 372521960, + 381780972, + 886950140, + 214623751, + 822949870, + 357654972, + 630625377, + 781440297, + 89704126, + 365115655, + 685712049, + 327579995, + 889093459, + 97781325, + 4350643, + 329573955, + 910578974, + 833884836, + 90226186, + 659939025, + 110795371, + 41955382, + 928225307, + 865047566, + 368563131, + 54801868, + 579569341, + 66500442, + 879297527, + 957499760, + 744032981, + 440361632, + 286074104, + 132728526, + 70931152, + 388753483, + 159255226, + 209954369, + 998598349, + 600097199, + 246707640, + 730218136, + 889332451, + 775007140, + 564750240, + 932499271, + 627956961, + 672570011, + 645056753, + 423274049, + 221948232, + 548545387, + 98837430, + 304995353, + 58146606, + 766560950, + 8941493, + 88146726, + 120376263, + 676594427, + 262392681, + 751613579, + 111449261, + 180271061, + 312305143, + 631526433, + 683494606, + 337406597, + 907142075, + 373333560, + 381068233, + 452972607, + 907384064, + 556575606, + 170850405, + 368852565, + 883419250, + 727892126, + 782368977, + 381696399, + 110122627, + 746043533, + 965037006, + 718073062, + 468125278, + 950138947, + 780626085, + 453798943, + 149239858, + 578492203, + 355228552, + 874960073, + 798965884, + 975757270, + 898046008, + 660904098, + 302499909, + 148566166, + 236066354, + 537626618, + 18032354, + 288207573, + 763536434, + 181189101, + 45031057, + 123701508, + 325381776, + 928705267, + 469482652, + 735677431, + 700460614, + 316567525, + 192510307, + 915814044, + 557778604, + 56283675, + 275895756, + 882763240, + 82996600, + 664713092, + 397330704, + 839655699, + 578466419, + 635568203, + 912146694, + 37006807, + 479340476, + 684007731, + 987790770, + 206965980, + 718612929, + 49362501, + 924078935, + 379271501, + 422410370, + 601018013, + 504186323, + 118120816, + 815677643, + 933710931, + 193416441, + 564765061, + 501425477, + 717020093, + 401603461, + 370633918, + 848644617, + 274299680, + 530731761, + 395283410, + 646428403, + 751502020, + 620124685, + 812072995, + 683975384, + 315919855, + 227323123, + 423755272, + 650350608, + 339138875, + 920388511, + 387436177, + 358644487, + 641873496, + 878806278, + 4571152, + 87468319, + 415431482, + 28029816, + 951459671, + 209620232, + 291311561, + 235485249, + 690129781, + 248488813, + 359982685, + 259879562, + 689220446, + 641952545, + 132135912, + 358814514, + 894359978, + 361626126, + 608162399, + 557865951, + 95857732, + 376407364, + 894693541, + 760415825, + 800394874, + 70210330, + 380597843, + 792608353, + 291236798, + 947363608, + 466262826, + 328650754, + 301778238, + 979436324, + 728153712, + 411211209, + 906659540, + 346544208, + 91162010, + 842409192, + 965270253, + 586918572, + 476418934, + 22828546, + 816899457, + 50439608, + 324279020, + 617892336, + 311740134, + 334899416, + 560869137, + 430869790, + 369305518, + 732323064, + 28855133, + 253375156, + 888398706, + 804182035, + 728223411, + 177820769, + 441317726, + 587271697, + 880008679, + 384472, + 888586781, + 200136805, + 525764481, + 190751604, + 361703007, + 22721373, + 675758072, + 433047965, + 794283010, + 624773645, + 3806286, + 200017127, + 672189469, + 36508867, + 349181022, + 654244279, + 316739431, + 244364429, + 93619580, + 583136384, + 400245676, + 12423710, + 107970957, + 303616706, + 46166688, + 46485109, + 734617682, + 220448949, + 841429511, + 961325660, + 810116091, + 576085948, + 943364242, + 308478978, + 451193276, + 969234222, + 16640770, + 777435164, + 377862537, + 214974910, + 805174549, + 914564121, + 822570929, + 765841277, + 431198616, + 929778772, + 744053564, + 979622870, + 864515900, + 961048882, + 738217526, + 891277504, + 71873995, + 444342293, + 616040571, + 327210289, + 756465816, + 73969090, + 598338825, + 307606301, + 872871064, + 80698802, + 97129899, + 353265466, + 609224168, + 200783850, + 181088931, + 386746361, + 978104227, + 214030950, + 350650102, + 384588073, + 786557699, + 767960205, + 517390756, + 71652652, + 831486597, + 512439277, + 751262587, + 80099103, + 350802933, + 512080884, + 317200351, + 609528981, + 739089895, + 818199847, + 792384858, + 669065025, + 566508843, + 507062129, + 732548473, + 186123421, + 335427207, + 486319936, + 427614127, + 604384832 + ], + "output": 98660 + }, + { + "input": [ + 986576039, + 601518733, + 744798894, + 581260814, + 819551063, + 25280437, + 912790185, + 566200129, + 512449764, + 813324259, + 935779477, + 75523677, + 110564640, + 996917008, + 24329099, + 81044379, + 639852709, + 485230276, + 868577009, + 991579590, + 173179412, + 153444229, + 696412320, + 668285025, + 665305513, + 374760041, + 395657366, + 431207308, + 723415171, + 78217974, + 231578479, + 44787201, + 520128365, + 190886570, + 99544457, + 834752183, + 839840220, + 23156798, + 568958840, + 828175027, + 573601719, + 646397626, + 359922464, + 610592950, + 761436656, + 991866724, + 975548126, + 596278074, + 51352469, + 709760089, + 137138347, + 35412739, + 740326384, + 428595150, + 561686033, + 826522352, + 528512395, + 166766340, + 903971986, + 930175620, + 291876450, + 325746465, + 226954604, + 342184919, + 786100937, + 33431144, + 559960353, + 228435020, + 981753250, + 477182859, + 853319621, + 531074058, + 293762369, + 756977260, + 982115626, + 109505171, + 97662291, + 597546699, + 25539355, + 514871975, + 21469506, + 866882384, + 749542329, + 187314233, + 668059077, + 880111727, + 802394008, + 684226238, + 295590795, + 933475698, + 603784570, + 805706585, + 106664159, + 706632391, + 920925278, + 534703454, + 809799056, + 533469791, + 699009564, + 574769508, + 286021995, + 580299338, + 927136527, + 182061139, + 50256606, + 963343548, + 2079973, + 759980720, + 239896735, + 944973942, + 715128164, + 958534922, + 284255197, + 962076026, + 543624223, + 280308022, + 922047898, + 608663068, + 462272761, + 947562676, + 27146468, + 341833914, + 373203844, + 406807671, + 587150376, + 428133803, + 347613221, + 515250274, + 825463982, + 900359800, + 907386894, + 758524660, + 920655262, + 270154021, + 958873500, + 110226802, + 114234297, + 326643960, + 5861654, + 49217327, + 698710492, + 81052676, + 486338667, + 421658147, + 698878003, + 522872439, + 376629510, + 608900195, + 61788074, + 690780333, + 11942994, + 539935304, + 292087332, + 12152539, + 317686301, + 915961372, + 150374730, + 869266096, + 1003629, + 142908381, + 204197001, + 394544263, + 969450770, + 171841363, + 370991241, + 650184990, + 292091080, + 505109506, + 592028441, + 596806545, + 834483109, + 673378639, + 767537232, + 201264498, + 585809426, + 849412291, + 631715774, + 259388106, + 462631908, + 473311307, + 585798379, + 905873551, + 750313742, + 391002361, + 68500749, + 679610590, + 82384498, + 896993563, + 234936883, + 75315577, + 354955786, + 941817712, + 104302093, + 713662616, + 936482013, + 43657259, + 745642043, + 405663793, + 895477621, + 69916754, + 662157906, + 108643574, + 133515441, + 947816601, + 42991330, + 35801373, + 846689945, + 783572043, + 615345014, + 800773933, + 436105384, + 559804754, + 325938750, + 603283553, + 389448681, + 445037108, + 787491667, + 185306896, + 634916738, + 477037552, + 787317467, + 959074084, + 555832639, + 203512770, + 942124651, + 552642935, + 946815932, + 511046362, + 791528968, + 910331118, + 417421115, + 171635618, + 60882630, + 695292693, + 979469165, + 954647745, + 664340639, + 608490206, + 175615746, + 788066583, + 210609215, + 662081854, + 502078228, + 552639148, + 408995863, + 928867883, + 788865214, + 78446845, + 390010046, + 956279858, + 273414686, + 456561571, + 177779246, + 215293145, + 144082790, + 620526520, + 398982331, + 234873517, + 527385946, + 613566832, + 477765282, + 278465563, + 989951319, + 385737853, + 481073764, + 240056230, + 749226389, + 667689555, + 935319591, + 540379075, + 897989401, + 613685104, + 385113713, + 338480692, + 257208208, + 875552232, + 739900834, + 742532026, + 42254847, + 502853370, + 396247091, + 481159225, + 557415631, + 914083869, + 281797106, + 292457360, + 112959996, + 351547590, + 265676736, + 923147125, + 266464434, + 687374493, + 580794148, + 716602199, + 338798401, + 913791489, + 677172734, + 738912761, + 152982023, + 525315575, + 430182817, + 354623499, + 937500825, + 376724848, + 757581895, + 876521213, + 551782406, + 151721898, + 789720210, + 342190487, + 319203609, + 966485054, + 958968137, + 513122548, + 975613889, + 866247534, + 281738095, + 917981986, + 531829981, + 359842995, + 6622721, + 904674242, + 974976449, + 748258437, + 567842348, + 638743706, + 61494949, + 303462355, + 445161378, + 749225931, + 787139081, + 668259182, + 234981552, + 462258435, + 726625304, + 341510016, + 577058185, + 992554850, + 749445478, + 582595339, + 780481917, + 750180751, + 262124589, + 106535883, + 367687558, + 971214612, + 61319084, + 965726400, + 657516977, + 883701697, + 862522904, + 64115696, + 513783295, + 999052937, + 486700811, + 796573702, + 280239976, + 234185826, + 461204650, + 758125925, + 126775922, + 838175995, + 806801831, + 700071822, + 989267637, + 910282003, + 878022355, + 244255278, + 225338144, + 881659572, + 538074143, + 865267119, + 764307133, + 253726616, + 4475863, + 87932273, + 729809419, + 268502433, + 65681120, + 535102289, + 173483085, + 798364418, + 968369339, + 396296576, + 73922307, + 899252389, + 412462346, + 964316305, + 761282647, + 255990326, + 949404058, + 812590373, + 34026036, + 97939548, + 322224015, + 510940653, + 506559314, + 503977550, + 774514848, + 36247643, + 437658632, + 479381, + 51878343, + 337682815, + 597869299, + 870247035, + 663466909, + 420381212, + 288653041, + 58094622, + 9581960, + 423701880, + 571611425, + 593983811, + 982942712, + 615198986, + 370820134, + 665231038, + 466181876, + 543638295, + 78012277, + 808025712, + 110429581, + 481671110, + 198451122, + 555980045, + 252794221, + 789193201, + 299465441, + 145553688, + 174638070, + 110315978, + 181179796, + 552120081, + 995670736, + 455857983, + 158953526, + 789054048, + 936324288, + 712896109, + 176108370, + 623745811, + 385669462, + 386367438, + 216076496, + 852262157, + 392113704, + 800367361, + 35297933, + 382493560, + 153843060, + 691569272, + 206751308, + 496810232, + 948567947, + 909942776, + 22548182, + 269168821, + 784279534, + 404708186, + 642552253, + 157290956, + 844643546, + 749012594, + 319158474, + 309157145, + 449213107, + 253681659, + 306003941, + 528681663, + 947286174, + 13134287, + 868446224, + 362358182, + 264069010, + 580630077, + 322123947, + 773675502, + 415357338, + 756222969, + 259106790, + 105858528, + 30623735, + 167775546, + 197595956, + 450054857, + 724671100, + 682749838, + 558106911, + 883549230, + 269667837, + 756991009, + 252082110, + 787111586, + 56626871, + 790643061, + 566304803, + 587813314, + 77961425, + 273087539, + 830963409, + 133834852, + 587489818, + 989427376, + 498572580, + 639829475, + 751779327, + 41302627, + 222532052, + 697417077, + 52806010, + 982963393, + 149885608, + 395105597, + 645764472, + 191141038, + 845031106, + 312109458, + 729512844, + 176127964, + 809793848, + 664968995, + 704916862, + 875673216, + 141833510, + 182051317, + 992183445, + 297792113, + 355574825, + 606046037, + 194300931, + 632720241, + 610881837, + 186754220, + 720832108, + 146071000, + 243419454, + 828709151, + 43639123, + 666855247, + 163869981, + 268559201, + 361847381, + 104957194, + 190591744, + 634468624, + 321594174, + 862283064, + 205152266, + 177397962, + 556311619, + 863894633, + 373831766, + 942279545, + 653006149, + 160951075, + 236801325, + 493232814, + 339583131, + 484320386, + 21025914, + 256711360, + 849624193, + 401395721, + 496381864, + 332735864, + 217338016, + 331625978, + 57067206, + 524966047, + 567366924, + 118409006, + 770385788, + 603521587, + 306874647, + 230486584, + 917544600, + 410833394, + 488486675, + 88688023, + 501855718, + 308799624, + 198553054, + 293888196, + 109345877, + 584831299, + 935375323, + 319691116, + 790173522, + 433793231, + 350306105, + 656922791, + 254787836, + 648834473, + 69769848, + 79680095, + 577271913, + 577615598, + 83426119, + 167136032, + 716304509, + 840447832, + 554251141, + 917904548, + 611101123, + 78487475, + 472387413, + 187390057, + 831236707, + 74874951, + 451113402, + 934949752, + 252310862, + 79253725, + 903689754, + 269740554, + 752807142, + 982768130, + 5205489, + 201734494, + 538149812, + 306360124, + 504690456, + 216678578, + 141422302, + 142708240, + 334420714, + 789870378, + 332615884, + 644067726, + 846846492, + 889176620, + 421265897, + 962675830, + 944303527, + 217209454, + 293583694, + 823750001, + 492538867, + 305676053, + 309983666, + 902029229, + 854985728, + 144425088, + 642729776, + 526520803, + 366059436, + 172215933, + 976733788, + 909084484, + 124595472, + 453968460, + 99113563, + 173436747, + 636604497, + 866277760, + 505575047, + 520608862, + 46301245, + 868493326, + 269333051, + 940295888, + 595054344, + 809152297, + 540724164, + 154224803, + 873893058, + 733259375, + 536533553, + 617692870, + 733884839, + 460666106, + 274602303, + 950741840, + 468289936, + 544801847, + 496872794, + 188022530, + 308361846, + 473824480, + 644807993, + 410054596, + 482314084, + 372411277, + 28145300, + 517628091, + 494398440, + 108336654, + 231230366, + 455525638, + 785967900, + 909775888, + 663148606, + 947641873, + 547442634, + 327586571, + 368743086, + 812934032, + 242359806, + 900501040, + 481701585, + 625197976, + 906163166, + 572389826, + 749804175, + 770180626, + 423149784, + 690990313, + 764392216, + 779926189, + 145452549, + 395972668, + 642625619, + 450047676, + 140155889, + 654897705, + 340834937, + 596247349, + 253367486, + 772441625, + 397178326, + 516751524, + 656974341, + 141116671, + 773481839, + 180473357, + 636719804, + 936547609, + 336092653, + 191634486, + 258920566, + 953378934, + 161483711, + 733252003, + 212620250, + 72639104, + 920522471, + 376147673, + 351072337, + 750975083, + 474000170, + 431964154, + 604802291, + 936933417, + 536723843, + 325972811, + 81511779, + 183576561, + 394027356, + 865906962, + 408834402, + 520074229, + 245029833, + 415970722, + 487181359, + 525147700, + 955420289, + 419546405, + 35534058, + 244737094, + 351570728, + 393362930, + 864420719, + 987440502, + 914151300, + 732024790, + 517887877, + 940220056, + 474807908, + 54332016, + 450628737, + 248165962, + 708385943, + 277002523, + 540665248, + 729421264, + 372474544, + 173854046, + 848679620, + 591958283, + 387139566, + 366709532, + 490529618, + 733230433, + 555310779, + 212871363, + 634593613, + 789815897, + 344012663, + 192291081, + 754686060, + 693344777, + 852397477, + 482465668, + 402928302, + 976386953, + 185141768, + 215267652, + 159292854, + 640962388, + 156621561, + 706192644, + 946595396, + 641923802, + 848690811, + 729896504, + 199608705, + 447301337, + 736791970, + 878841552, + 30301284, + 468198364, + 332347314, + 764408034, + 62518773, + 893624383, + 511404789, + 216219825, + 459444145, + 9837850, + 851832373, + 396526624, + 408886323, + 260246028, + 272648477, + 662543268, + 884571944, + 504589438, + 735466421, + 943634437, + 987392460, + 174198798, + 985001154, + 628559284, + 274251988, + 739793275, + 768341410, + 880418500, + 364542649, + 393945987, + 247599498, + 851319424, + 345604729, + 455254550, + 913063364, + 598539995, + 386146064, + 695090808, + 156259258, + 73962034, + 588884334, + 800086874, + 740188025, + 59302474, + 181600767, + 66082533, + 510776571, + 36633108, + 728512690, + 635382302, + 393939959, + 767127464, + 687207892, + 323448714, + 903413875, + 784772324, + 769847240, + 385363892, + 277499606, + 552770739, + 198009999, + 865700508, + 6122709, + 998815288, + 639486594, + 737034697, + 426771340, + 995923120, + 843073558, + 674510925, + 171483616, + 950272084, + 473017770, + 276155357, + 946732144, + 77878333, + 326866906, + 284809603, + 11916753, + 76483263, + 491178725, + 195357618, + 32928657, + 360264741, + 368002046, + 797667558, + 479883567, + 3806652, + 100053441, + 49764335, + 233827150, + 966165851, + 299691293, + 191059346, + 424648450, + 937697832, + 891631170, + 810474530, + 141424072, + 494037220, + 426259722, + 105210394, + 673567320, + 480246657, + 395288408, + 530636929, + 499914791, + 304213778, + 715201314, + 901449164, + 381721199, + 913862153, + 179346872, + 148469490, + 223565496, + 79303151, + 994169369, + 470918881, + 86267931, + 501375786, + 404137902, + 788330108, + 296937007, + 253346788, + 845839600, + 728150937, + 44676193, + 957357770, + 152888575, + 835705180, + 196081889, + 90926363, + 504445250, + 806072267, + 53423666, + 459045713, + 761478620, + 748173243, + 377592615, + 794069247, + 46074891, + 618733588, + 613480327, + 807958893, + 738744322, + 177399515, + 489924779, + 737922419, + 339764223, + 784456098, + 666610787, + 123385633, + 200519390, + 916326464, + 524138634, + 459359318, + 432076898, + 92551987, + 126605305, + 647923175, + 151676410, + 748276775, + 952524998, + 610607034, + 535093358, + 69335779, + 651055828, + 968479865, + 851695058, + 219941076, + 587985205, + 933745954, + 259887416, + 56597410, + 389914717, + 402822378, + 904001354, + 527432726, + 961502247, + 470139454, + 745115869, + 524821435, + 720089395, + 497674929, + 538781692, + 126687566, + 849812508, + 510357606, + 700626030, + 641862225, + 900942001, + 700885907, + 735519805, + 584910579, + 994399994, + 771534636, + 311788676, + 305841072, + 124840659, + 426699010, + 925815049, + 828691029, + 568176087, + 358396156, + 770402906, + 616542608, + 502606997, + 33565309, + 756280776, + 490494482, + 865071710, + 124254311, + 505042767, + 507835801, + 149903760, + 541774159, + 680101366, + 515097761, + 910887206, + 200928602, + 25018206, + 137263416, + 471738493, + 300829837, + 772014793, + 477042531, + 668810692, + 449670700, + 274442516, + 617516315, + 216702299, + 582885872, + 630457303, + 455678745, + 112646971, + 716419192, + 820618514, + 854269641, + 742875822, + 682600898, + 27486674, + 648247165, + 325734409, + 149726892, + 996802993, + 860986715, + 222003754, + 856662976, + 18652603, + 202240329, + 387477952, + 270113319, + 679287443, + 974880243, + 49504286, + 895388288, + 22300516, + 13751064, + 976411258, + 958640931, + 221159301, + 327380748, + 955221902, + 9425450, + 181415223, + 854854441, + 989110191, + 329839749, + 733713179, + 6866679, + 187093683, + 723886631, + 294524679, + 726149748, + 135382460, + 935085411, + 495085316, + 497704213, + 99324041, + 511778957, + 543128576, + 996621738, + 744290255, + 301798288, + 527774475, + 2283682, + 459737942, + 731435429, + 349076351, + 375330492, + 381836982, + 524367832, + 997958386, + 606338879, + 365247869, + 989070681, + 423330089, + 430331870, + 430450084, + 674033136, + 699278942, + 982132569, + 673877576, + 478823225, + 588011223, + 572520597, + 52590548, + 658849578, + 109285107, + 498488460, + 534344859, + 484576872, + 557655008, + 900053888, + 922972287, + 559122206, + 484335605, + 419515969, + 964121136, + 498330080, + 183983701, + 166898608, + 728609354, + 683295908, + 951496687, + 913234493, + 228643392, + 122451236, + 326248725, + 381025726, + 553549307, + 175233471, + 787119947, + 346584126, + 807008210, + 564651643, + 744271522, + 514794366, + 924364324, + 545214668, + 658854025, + 880745050, + 241643207, + 548526374, + 998536424, + 975604461, + 478134892, + 829968428, + 612135198, + 438573255, + 687846362, + 224800446, + 678060653, + 957344959, + 492412450, + 36273190, + 113782707, + 865842852, + 704565173, + 406187724, + 973340673, + 301125429, + 478044041, + 314361811, + 180597293, + 744883721, + 628700550, + 604143322, + 451008067, + 480834434, + 183988201, + 859180156, + 375001260, + 889386689, + 451787242, + 652102751, + 167156824, + 413155326, + 519672357, + 319886201, + 300779618, + 58124313, + 830567026, + 250707961, + 513720380, + 610627934, + 112843799, + 191436616, + 747163762, + 115774537, + 151884727, + 266636220, + 657665974, + 920606028, + 164187109, + 862474737, + 917705845, + 82584871, + 511206272, + 107922931, + 103875332, + 542355762, + 297863866, + 700687804, + 412327941, + 263152644, + 319526495, + 387630768, + 650176479, + 651400390, + 522673786, + 50844782, + 887565269, + 395477533, + 706752245, + 508399207, + 413363997, + 445076369, + 169200104, + 130908062, + 768044002, + 347537954, + 697579513, + 796408345, + 132850467, + 597617278, + 602475506, + 945958255, + 23823331, + 970944437, + 537329692, + 103848475, + 47006196, + 525250853, + 323465378, + 345220343, + 647712376, + 620256803, + 561723687, + 306535944, + 147888705, + 759909856, + 313402006, + 525375313, + 871856491, + 301130834, + 137546158, + 499821461, + 714292167, + 580737118, + 84985910, + 468713941, + 728211737, + 464327518, + 280414810, + 846609010, + 5789267, + 711396078, + 721326933, + 838225532, + 889825409, + 296774397, + 573675103, + 296627806, + 694496114, + 228034366, + 312583229, + 413396179, + 650706030, + 810763132, + 656748092, + 326338824, + 367130339, + 963050464, + 612700577, + 38078765, + 369620097, + 402721352, + 612846892, + 719511018, + 887400356, + 780477034, + 405419444, + 639851418, + 636069705, + 807024698, + 324792234, + 448441139, + 556194397, + 962751237, + 397277287, + 250853382, + 117616066, + 333782066, + 56221931, + 346456768, + 668230224, + 205064744, + 674434480, + 152685602, + 333711527, + 833552139, + 946801018, + 134996218, + 396930307, + 704721069, + 586389265, + 127493541, + 293380144, + 315930416, + 876779591, + 415510520, + 595467505, + 186618457, + 571640009, + 210841865, + 115248499, + 697830266, + 785552679, + 691774331, + 531882328, + 320296450, + 319948371, + 948942538, + 781146654, + 125631270, + 753976436, + 933707675, + 286978444, + 721564824, + 110497466, + 360327851, + 220193725, + 969813144, + 133861104, + 86184704, + 645801405, + 412238564, + 524205942, + 669156985, + 725418297, + 572124885, + 235305580, + 620443728, + 378158887, + 992849496, + 944447407, + 289657433, + 972558855, + 760792668, + 939409858, + 113833843, + 121870897, + 989112181, + 968319028, + 461233291, + 313896944, + 166320624, + 978652417, + 828343576, + 285392956, + 930176169, + 479437221, + 909866334, + 327089606, + 741593535, + 695211265, + 653341008, + 493140645, + 943135234, + 892369361, + 391458871, + 372977658, + 663522758, + 70745703, + 296573451, + 987563405, + 930230329, + 818530969, + 468783218, + 284551398, + 785158843, + 422830132, + 866042448, + 539399871, + 172742336, + 953610433, + 735901718, + 755671210, + 24687842, + 918059021, + 891693651, + 773627646, + 262804676, + 845835876, + 104771818, + 330078383, + 673195378, + 199614261, + 715142396, + 570957848, + 195133203, + 659682907, + 551511513, + 597871569, + 389806908, + 728219943, + 912136988, + 922329718, + 980340515, + 786933442, + 555838838, + 348248307, + 995182610, + 553338903, + 634432486, + 238909929, + 505060720, + 60007623, + 332681811, + 229138999, + 750056366, + 135608661, + 867659239, + 517673397, + 214592814, + 329258851, + 110379871, + 536266069, + 831653225, + 156869239, + 57866175, + 372771662, + 198587103, + 232800264, + 582995445, + 619477519, + 145249641, + 994266095, + 883176178, + 627987925, + 673311512, + 359530039, + 223425877, + 668057290, + 320699950, + 712859313, + 576683225, + 752391878, + 967753571, + 992482062, + 38524512, + 810422231, + 190495740, + 990497174, + 682326920, + 783553180, + 586085802, + 913440283, + 245612384, + 86481359, + 507195397, + 692434313, + 24230073, + 867891023, + 985253645, + 249976897, + 211546544, + 132271048, + 68067628, + 862357524, + 158078750, + 758267781, + 114455258, + 712586056, + 546994934, + 808326761, + 838981173, + 966368905, + 864995256, + 934999680, + 276125059, + 979540976, + 399015349, + 329343570, + 623837261, + 904989746, + 995350662, + 974746624, + 20126639, + 256669532, + 644585916, + 906817904, + 622607804, + 680167615, + 64433292, + 487201484, + 627663049, + 356459009, + 993489733, + 491229920, + 295500541, + 198780092, + 331908340, + 842045201, + 880406211, + 340937757, + 325862857, + 243407439, + 658087317, + 956308756, + 644062108, + 873353301, + 183457389, + 378005760, + 409772395, + 581053569, + 751042001, + 993256723, + 324826774, + 608797529, + 815824680, + 242532832, + 880535373, + 317717750, + 672372272, + 371416030, + 431423441, + 103602024, + 67109546, + 329893263, + 988786735, + 224973953, + 724462393, + 427459818, + 327145347, + 277712776, + 394072537, + 584870600, + 266303282, + 836513660, + 300418431, + 2665482, + 215218726, + 273713571, + 651405723, + 571305561, + 834307748, + 29659598, + 137383013, + 292524, + 901038717, + 461619099, + 41101029, + 971364034, + 679805575, + 244587278, + 384179079, + 318209343, + 620799662, + 118743259, + 168203256, + 435370432, + 317463526, + 972645750, + 344845525, + 280522222, + 329343261, + 763470329, + 253303267, + 43401087, + 633539460, + 904801161, + 152589864, + 129198178, + 698207955, + 688597268, + 759347235, + 216463268, + 119184452, + 230246787, + 483164029, + 90684422, + 484813684, + 995044366, + 647524100, + 250111736, + 31109154, + 760403936, + 355380622, + 220397008, + 877296750, + 576011695, + 526398022, + 977541168, + 909186901, + 358538309, + 369908689, + 976733050, + 395469033, + 618950160, + 148817624, + 96391011, + 841554406, + 886450972, + 628474861, + 168667519, + 693433495, + 976034748, + 584654523, + 972189615, + 696216855, + 473742137, + 586122783, + 334414483, + 418400651, + 102585734, + 198955796, + 383351846, + 89621709, + 186397325, + 901228819, + 206592579, + 442678482, + 646847024, + 215762963, + 705052374, + 166308595, + 236009260, + 308007156, + 733144348, + 911714719, + 576867231, + 350502547, + 517696144, + 10419386, + 373477478, + 500895193, + 682732667, + 352496488, + 337175771, + 732797690, + 425202741, + 189448651, + 861389089, + 125820957, + 475905145, + 390855792, + 122541166, + 589138727, + 703690873, + 488638808, + 765217488, + 245796100, + 327336741, + 409359149, + 940996252, + 150631338, + 471300375, + 986460604, + 894064038, + 1271202, + 434271359, + 546018019, + 476511333, + 16274396, + 595108601, + 380198879, + 559298182, + 384680037, + 110631233, + 189454993, + 371278246, + 438550068, + 408497749, + 234126240, + 585862047, + 71382324, + 197836158, + 841610406, + 358700792, + 38659181, + 120561653, + 237770088, + 636994454, + 61088040, + 437579765, + 976439946, + 676199075, + 319278431, + 680302593, + 631122874, + 899726990, + 125230482, + 437347682, + 503862589, + 909489156, + 370869300, + 572185459, + 436662762, + 66527855, + 575593536, + 134605578, + 833703074, + 927607631, + 219336839, + 6906079, + 490219673, + 622744038, + 994220801, + 327163518, + 887086762, + 676735112, + 347495993, + 876531703, + 55373820, + 819152967, + 356113070, + 232027931, + 189446369, + 162238011, + 344681371, + 394444617, + 299084855, + 927274627, + 925424622, + 472383396, + 107913977, + 555582312, + 598634062, + 451341034, + 832988297, + 711016734, + 555276702, + 892173115, + 190973611, + 697102582, + 840375991, + 123038610, + 212299011, + 491374175, + 772594350, + 584439670, + 277605241, + 928636891, + 804987172, + 445970535, + 355038974, + 617029532, + 589983294, + 682217758, + 89625762, + 803571486, + 593180573, + 484509209, + 947433617, + 86872088, + 285874384, + 960332023, + 434347604, + 622491942, + 350191556, + 843130289, + 341556911, + 507105248, + 239449109, + 912622725, + 581724026, + 722136006, + 691139400, + 703803324, + 935445408, + 555548639, + 914421790, + 116080079, + 9294548, + 848156274, + 499314704, + 7342392, + 814923956, + 92860087, + 220102440, + 634212351, + 679221602, + 920296890, + 388852010, + 642053629, + 807079836, + 922941714, + 820219917, + 185082979, + 235055663, + 403019282, + 297803197, + 930570216, + 855126672, + 914359065, + 287327286, + 877444406, + 432392221, + 398392751, + 851638454, + 514697828, + 218853487, + 730052752, + 775191292, + 725225009, + 634512699, + 350910894, + 890116956, + 308432895, + 708563535, + 804739795, + 751841678, + 152162816, + 677584120, + 837057032, + 444390754, + 589864873, + 645654364, + 66226096, + 73229082, + 377199914, + 839959549, + 952209899, + 769216269, + 133837249, + 674305692, + 13606016, + 76489727, + 625780525, + 665901670, + 671489906, + 547958357, + 20365291, + 910977788, + 416499743, + 72598511, + 762595046, + 616621649, + 425171642, + 114440826, + 640871155, + 750138018, + 335887902, + 210052080, + 124424056, + 421611272, + 547746156, + 621604874, + 811503057, + 972326559, + 909589502, + 50174297, + 142719028, + 368497648, + 840597435, + 87540760, + 640825534, + 953150151, + 197124631, + 283419391, + 241154464, + 563244807, + 829610363, + 55522671, + 746971220, + 861129400, + 535995036, + 4215625, + 933231512, + 342380750, + 520767203, + 679638508, + 210050792, + 558489503, + 576267227, + 177348452, + 580515022, + 383894600, + 283750129, + 766520363, + 506062684, + 446629186, + 279138609, + 284978643, + 859734483, + 305991557, + 315187158, + 974921157, + 117576867, + 169089999, + 925761418, + 764373041, + 405651415, + 647875816, + 53415649, + 491300306, + 723776343, + 221852702, + 372818911, + 743061445, + 429331787, + 232384, + 128746533, + 489187589, + 126689009, + 184608888, + 25045905, + 184934206, + 955719495, + 517276052, + 83447309, + 367792505, + 274706927, + 345760393, + 920153104, + 854530779, + 956425369, + 986933640, + 900088347, + 234028316, + 189010951, + 834443404, + 332383957, + 720470590, + 493349935, + 623682564, + 771936958, + 629287634, + 230042467, + 120160190, + 128074868, + 972127117, + 428933190, + 31688257, + 831349278, + 717314750, + 526708673, + 966963183, + 157001778, + 526208230, + 442311495, + 50603303, + 752250239, + 949894597, + 603541187, + 6269166, + 922597839, + 755528875, + 300932105, + 954591827, + 810255418, + 777227661, + 707459169, + 100480160, + 502639112, + 343216866, + 939581098, + 68653891, + 115840262, + 122262261, + 952432533, + 918594966, + 699504172, + 437275013, + 647702839, + 736325185, + 597375337, + 900388168, + 218015160, + 93655587, + 88257692, + 162604800, + 20672805, + 571083319, + 328362800, + 326033993, + 871864315, + 704539602, + 693795848, + 268722689, + 575146902, + 544684235, + 223700567, + 789120757, + 994333602, + 795505390, + 763615908, + 238029391, + 640693473, + 184815452, + 630113412, + 72071330, + 295628311, + 430088647, + 241075639, + 278667254, + 749705384, + 664147718, + 125130661, + 993682714, + 544763375, + 903367057, + 542017263, + 726764966, + 220151078, + 229955686, + 5212841, + 440922845, + 297316977, + 858145969, + 92622074, + 141001854, + 960320811, + 764211441, + 729251622, + 774205031, + 522150538, + 781133985, + 744754267, + 362391736, + 469529585, + 751349436, + 953868544, + 59811003, + 614778948, + 894074215, + 949287753, + 793052735, + 236202071, + 255051005, + 180439030, + 383519238, + 265909058, + 807498554, + 509766146, + 886416122, + 50880873, + 458742912, + 429742515, + 823121209, + 409883806, + 62630351, + 225481646, + 525314727, + 360855493, + 926715425, + 558581733, + 96074629, + 56471696, + 604239828, + 662595248, + 235077164, + 250607577, + 462515565, + 452300935, + 628372017, + 426346660, + 653144897, + 521868355, + 955790793, + 355374280, + 618179015, + 260855274, + 35277335, + 377535052, + 517302416, + 127035430, + 586928688, + 320411861, + 654938124, + 629723419, + 167412238, + 912487835, + 510492008, + 815020417, + 31788417, + 33529360, + 65186782, + 759977513, + 960720405, + 818056734, + 868804836, + 766835333, + 776352926, + 63367556, + 735909085, + 889872994, + 49765661, + 174063293, + 245237911, + 449418849, + 682970022, + 839172805, + 463939462, + 100736418, + 380402157, + 9061407, + 548163824, + 368840454, + 84615631, + 257757918, + 182127386, + 376794701, + 65856158, + 601753845, + 670936689, + 317886345, + 341748076, + 806444113, + 3737778, + 721181926, + 32647468, + 4736468, + 10918975, + 423801524, + 560284523, + 650483626, + 289657048, + 698364862, + 58927298, + 598768927, + 804287668, + 920878181, + 77898939, + 72452829, + 783763756, + 249048354, + 573063387, + 631533880, + 202741975, + 643453093, + 617659082, + 33643917, + 483505542, + 948412732, + 846131071, + 743930, + 711856856, + 296980839, + 483010592, + 436519969, + 11190890, + 708922535, + 148094106, + 579583246, + 577829389, + 746848688, + 632920240, + 616367274, + 375545667, + 793456996, + 741810189, + 394206866, + 434039440, + 959454100, + 849854952, + 319106341, + 883123155, + 654999752, + 132785683, + 195809817, + 616816108, + 592308316, + 130639031, + 801536267, + 448027297, + 456391331, + 415067985, + 320675141, + 95346307, + 72945622, + 64121938, + 405322477, + 388802816, + 389599993, + 799007370, + 645482210, + 326781402, + 67604548, + 721508019, + 549669015, + 6934247, + 851855876, + 603204343, + 559726058, + 432817983, + 516100652, + 667962146, + 501070070, + 42266921, + 841233220, + 977458990, + 318723580, + 246398453, + 654783477, + 825836134, + 162559306, + 143289014, + 323071962, + 633247251, + 43039917, + 268058280, + 754633280, + 845133748, + 191928692, + 887548131, + 128541, + 13948703, + 803610402, + 806522931, + 851623468, + 520461919, + 929480302, + 259414838, + 531434782, + 60281330, + 886313490, + 200667907, + 787773947, + 617771333, + 260405048, + 817086321, + 805698257, + 71375144, + 756957149, + 13486796, + 717612617, + 686063691, + 15213485, + 277778354, + 490540748, + 7007016, + 452304510, + 91141491, + 839657227, + 53907887, + 475468234, + 453265091, + 923008830, + 570124892, + 64231546, + 397691429, + 188072356, + 591490965, + 933097387, + 817134155, + 432785777, + 775343623, + 302451124, + 227795582, + 228841479, + 98800598, + 704272462, + 654840714, + 640935261, + 813973555, + 654728203, + 448787508, + 911383314, + 210486298, + 655880496, + 672453622, + 437321762, + 729855343, + 352752534, + 236291785, + 341980717, + 915027601, + 689301897, + 278836475, + 942793486, + 578152146, + 472508049, + 136121057, + 416755895, + 493246860, + 488641408, + 973216434, + 459385216, + 136088924, + 579924464, + 388400813, + 13195159, + 775011893, + 17663574, + 465973123, + 131356934, + 569769804, + 984198730, + 953264250, + 252183195, + 532346146, + 754390766, + 626612734, + 594561146, + 942816846, + 116112412, + 965321568, + 980368854, + 418148218, + 630254272, + 180102482, + 778418086, + 801146575, + 23520247, + 597264595, + 582591953, + 848193494, + 242049540, + 587081940, + 55372911, + 163529373, + 6597606, + 710057761, + 265927480, + 183631325, + 581225743, + 362932861, + 49004629, + 460152851, + 529438055, + 822430771, + 798950224, + 495435605, + 148360068, + 549387665, + 86923119, + 511997226, + 748201368, + 911514329, + 340058083, + 916915838, + 989430614, + 716587270, + 793730435, + 603430274, + 702680784, + 140199876, + 289341908, + 847530806, + 716934163, + 635505378, + 806661448, + 840708180, + 383437566, + 335990415, + 611797694, + 762895183, + 292734082, + 362255094, + 467994684, + 584189206, + 548896020, + 395742238, + 26365817, + 465620147, + 368052838, + 834434978, + 477330746, + 624248485, + 396403443, + 465779826, + 740952398, + 93001567, + 275138027, + 564041897, + 839787464, + 567082944, + 477432405, + 236387712, + 230458838, + 371799818, + 991120726, + 342076033, + 954237051, + 553643873, + 608140350, + 278259543, + 952913556, + 669117032, + 162463966, + 581386365, + 292386153, + 312967626, + 557488077, + 722001828, + 123129121, + 682186795, + 831279410, + 448654567, + 658821312, + 116391311, + 541782326, + 763980852, + 184938202, + 318982151, + 651407791, + 351365424, + 520278092, + 890359285, + 876675294, + 182822782, + 18748040, + 916571707, + 750587716, + 278555242, + 8009990, + 126607627, + 8323219, + 605058452, + 969321900, + 176712248, + 485398843, + 227545829, + 55758292, + 52880424, + 497547351, + 686894369, + 119244350, + 637578478, + 807175975, + 646890547, + 621748480, + 898435345, + 968654831, + 918716337, + 47190041, + 974512999, + 270441707, + 679237163, + 830257507, + 652152960, + 681011783, + 843800897, + 735032661, + 145424971, + 620328333, + 139930119, + 818019690, + 991851758, + 446815153, + 767831439, + 924813682, + 510081042, + 851256241, + 186811769, + 891451206, + 446773688, + 196164199, + 214643654, + 910341835, + 637520024, + 172065480, + 887573010, + 700997131, + 531733496, + 656672082, + 36075340, + 664335614, + 108372306, + 495177697, + 841693596, + 619225803, + 393083816, + 48262744, + 442105323, + 37990760, + 923595516, + 773580990, + 742932707, + 874130362, + 86535282, + 254622390, + 46386604, + 800219045, + 627094331, + 570881064, + 417315119, + 878168401, + 471621287, + 965360993, + 346737256, + 772113295, + 571678353, + 102222720, + 356769943, + 801308721, + 414093192, + 7274657, + 297140410, + 900476622, + 26545369, + 330836775, + 781778198, + 189015037, + 301927085, + 737704355, + 755271210, + 451584653, + 743869747, + 952811301, + 204992213, + 846888761, + 389810920, + 790341554, + 374273343, + 649743534, + 944740304, + 126553505, + 448897970, + 787676728, + 36720535, + 685601135, + 546688979, + 758263620, + 766166623, + 831630231, + 328622466, + 914611096, + 405631388, + 296847439, + 389358530, + 605879232, + 557670692, + 27170848, + 978622976, + 276222900, + 556902984, + 832945328, + 816863085, + 523227373, + 124927231, + 546915054, + 938785584, + 927487954, + 101424099, + 399756993, + 681275342, + 89120137, + 992215643, + 684064376, + 466859536, + 935208624, + 401920582, + 263219327, + 280287859, + 605028222, + 233931078, + 244555238, + 9454390, + 592914144, + 904953631, + 21541492, + 133371738, + 798172242, + 759785395, + 125284326, + 173327525, + 435343047, + 865305356, + 605619062, + 947865034, + 804190994, + 749830301, + 719047130, + 446471442, + 431901713, + 593538832, + 792773282, + 108359957, + 401824407, + 581195461, + 371443516, + 779789087, + 769205262, + 824721709, + 601456405, + 485616383, + 185544580, + 95385672, + 297682149, + 442739750, + 85022014, + 480946068, + 232546994, + 437720966, + 197141447, + 452344290, + 475346394, + 448968866, + 556880073, + 235260629, + 741357253, + 969813968, + 68715074, + 657033311, + 836737364, + 655196179, + 403647660, + 916100633, + 805881321, + 467378822, + 816937888, + 790551592, + 390806718, + 314687318, + 54278481, + 402885488, + 862114635, + 392390476, + 98850108, + 162298090, + 876541434, + 326488770, + 204919626, + 461286844, + 195632246, + 868570469, + 137157266, + 450948928, + 526416205, + 555660735, + 216343143, + 35886438, + 525808681, + 959312986, + 679788284, + 772376614, + 940967231, + 474988741, + 167486380, + 219420893, + 944251785, + 66285368, + 616133153, + 997395884, + 899104230, + 768787298, + 385221046, + 685913055, + 892972249, + 932064476, + 785378186, + 659973230, + 848832618, + 968344528, + 505944211, + 507114713, + 235289417, + 918163896, + 692505315, + 834927456, + 756195638, + 37427989, + 341549252, + 943622643, + 194055173, + 461959777, + 970392575, + 99217183, + 914418247, + 934314709, + 948122650, + 357117528, + 460256407, + 57147611, + 648063189, + 897179811, + 733995206, + 530782294, + 133743367, + 103618827, + 299293793, + 713124880, + 179358768, + 249518162, + 302670054, + 290429864, + 554726363, + 819151452, + 730553853, + 514463096, + 370877976, + 255852831, + 651401778, + 606842639, + 60721709, + 220761774, + 444053767, + 884453197, + 504646309, + 921344230, + 529398215, + 943939959, + 43454959, + 795249684, + 515658780, + 818350977, + 314270107, + 726271232, + 843665591, + 67458445, + 320394839, + 637780031, + 169937442, + 787160719, + 200208585, + 204768851, + 305296710, + 386984798, + 105196401, + 408298448, + 610609537, + 22592327, + 999077140, + 321915257, + 346366718, + 292441921, + 744917334, + 605218192, + 427501465, + 901289145, + 869043943, + 276640175, + 354058877, + 352450856, + 518532572, + 538221075, + 567350761, + 149051501, + 702656305, + 141233430, + 240610869, + 550509442, + 520758643, + 160914009, + 647178859, + 76449582, + 779024598, + 250046377, + 378744548, + 513531663, + 878425057, + 617538842, + 298370855, + 699488348, + 228206810, + 722830496, + 453503962, + 436791122, + 177593047, + 356773497, + 548572252, + 640434155, + 166473740, + 971968542, + 479297232, + 96198247, + 380111658, + 608803298, + 75052686, + 759147855, + 617721202, + 143741817, + 661602088, + 880098795, + 604182246, + 125336277, + 49877053, + 34548867, + 570896299, + 888150380, + 72907235, + 459960666, + 870237203, + 172094126, + 141538958, + 895282074, + 355111110, + 848265364, + 6704928, + 522419913, + 968827293, + 823328680, + 270896549, + 706719677, + 149619187, + 287429763, + 754377052, + 507202626, + 992743343, + 990757015, + 214437200, + 209904640, + 642019325, + 746459080, + 599636726, + 488022744, + 953893170, + 153409683, + 657933071, + 370525149, + 351468672, + 194576011, + 842767546, + 33057, + 225090164, + 757950439, + 368141655, + 552226479, + 31359432, + 743706892, + 442623670, + 646948925, + 838333757, + 814760907, + 480914407, + 862033625, + 706789671, + 713642893, + 46287214, + 88831530, + 961140999, + 445781649, + 300458461, + 560143054, + 784986980, + 660938773, + 663212491, + 482549052, + 605333289, + 967370204, + 218206398, + 849976133, + 901176090, + 743863425, + 114642946, + 202590218, + 651005392, + 216645793, + 799057299, + 364767266, + 619375310, + 778945782, + 848890405, + 381488849, + 845815373, + 520448078, + 597026690, + 203342712, + 103184205, + 398891166, + 521442381, + 372682677, + 135134729, + 206367196, + 332376787, + 462103570, + 210200967, + 768681256, + 382192136, + 362401990, + 374954224, + 668284735, + 110094511, + 52476413, + 219511306, + 12637816, + 177198682, + 486433255, + 171661952, + 730556114, + 38820146, + 722637309, + 557980333, + 461208812, + 152235679, + 816228319, + 453300754, + 223532473, + 520790128, + 946809769, + 637886279, + 84171018, + 712702015, + 291973126, + 993493794, + 551298327, + 217660394, + 610901649, + 904379303, + 256879979, + 980553146, + 207079755, + 289881296, + 461453215, + 741148609, + 769133734, + 244262326, + 447055210, + 550402450, + 274057369, + 436419980, + 709930607, + 487361319, + 161597939, + 615414142, + 940420157, + 165156501, + 561417111, + 229040581, + 578885580, + 368835808, + 760980160, + 452734404, + 337934681, + 3315128, + 55233429, + 619285614, + 442318876, + 573260694, + 66271070, + 703974984, + 369485891, + 311073703, + 508785052, + 676163350, + 585732715, + 815869603, + 692430286, + 359447110, + 950855123, + 659053977, + 815807927, + 860378567, + 70223700, + 511820699, + 196837545, + 784728013, + 131672076, + 42892773, + 376068736, + 911982463, + 80798098, + 515712249, + 221974133, + 148383753, + 797663870, + 908814999, + 581344672, + 549012261, + 72985707, + 372284951, + 184119969, + 460135231, + 615914409, + 668543305, + 776191559, + 119414179, + 649559894, + 428507884, + 514984443, + 194695522, + 103878983, + 250811486, + 362369938, + 882373766, + 443020108, + 602484135, + 40281377, + 772412226, + 452973083, + 305600188, + 938049828, + 483542563, + 718497324, + 187128782, + 294634681, + 145774537, + 999840436, + 868096855, + 690784224, + 451136972, + 890490038, + 676442403, + 219850051, + 337947119, + 35556822, + 217588532, + 467499312, + 327054616, + 206119070, + 532785811, + 360204811, + 451828340, + 652759019, + 23275788, + 256866858, + 945300335, + 890975666, + 601563775, + 187551252, + 374284843, + 437182482, + 227680064, + 472966274, + 790310295, + 709547557, + 425227694, + 693988265, + 904046356, + 640487227, + 594988499, + 571741202, + 630165059, + 557312568, + 500463297, + 605221758, + 647986367, + 13100109, + 947479680, + 365662029, + 321825758, + 104495209, + 257268029, + 819419290, + 923593954, + 679503020, + 110391213, + 973494463, + 321013779, + 796313290, + 19891823, + 112360900, + 325156860, + 557562806, + 133392328, + 182512378, + 578233468, + 513223587, + 143464387, + 668904644, + 508763604, + 420416416, + 347022086, + 464746581, + 217997224, + 965033078, + 840805883, + 392585432, + 378114188, + 502312553, + 706204727, + 240852805, + 554731655, + 555855622, + 969074772, + 878541689, + 291079659, + 234461704, + 265735317, + 578628270, + 630066211, + 617611411, + 614756556, + 432680618, + 506644774, + 273705391, + 853518284, + 944757304, + 134688505, + 425190142, + 786155015, + 447927499, + 281438999, + 265643492, + 775608158, + 644842792, + 176291337, + 556294405, + 614429562, + 653312303, + 77264730, + 209766134, + 545702931, + 409037798, + 812067719, + 703858040, + 875190548, + 667146978, + 713926731, + 945888913, + 940819321, + 386664157, + 365583076, + 715116161, + 43477113, + 550741628, + 532103657, + 665685383, + 791505484, + 681837388, + 946733680, + 832599074, + 349570595, + 15480007, + 120784291, + 837278084, + 779863437, + 965608893, + 551180002, + 41886636, + 578383287, + 454924643, + 999028303, + 648966755, + 741336997, + 593536591, + 65740948, + 362020726, + 518218849, + 640495427, + 483418543, + 622575356, + 155418034, + 110226931, + 216657821, + 666656955, + 584606375, + 491448759, + 956087708, + 159214277, + 910034857, + 315946950, + 355773330, + 588527314, + 712570910, + 612529133, + 662935433, + 531876812, + 842860336, + 409244660, + 504363670, + 598338775, + 448117849, + 254479755, + 757551275, + 240890696, + 779738256, + 291245509, + 731586472, + 654721303, + 888990568, + 98322842, + 594921965, + 284895538, + 648922231, + 754067479, + 726228569, + 342340223, + 236259683, + 472211605, + 186167998, + 829894773, + 444927358, + 782119357, + 693600488, + 436851297, + 103064180, + 222115546, + 444526840, + 605578599, + 176587866, + 736973798, + 473086610, + 74101891, + 762745807, + 854794122, + 541897801, + 187198378, + 632407095, + 536862994, + 120703424, + 604573334, + 464315876, + 729453392, + 781448295, + 782320759, + 948980113, + 357587823, + 150233004, + 291149587, + 731564774, + 413682917, + 610311931, + 683360474, + 675247150, + 323802092, + 496184625, + 743022134, + 34196944, + 259929883, + 976034591, + 484787059, + 940794516, + 602842406, + 128087058, + 204552993, + 329963919, + 595147756, + 373203080, + 342962348, + 889378250, + 129697687, + 370872758, + 789493700, + 782375648, + 913505252, + 582185331, + 847391977, + 374901328, + 787135007, + 722567593, + 444681766, + 185442461, + 940246385, + 246532151, + 460032693, + 320527969, + 669436954, + 876930300, + 214562744, + 713522966, + 276045913, + 520408452, + 24480611, + 514346684, + 400147134, + 972418751, + 131374302, + 415982421, + 860286275, + 493929934, + 334621196, + 436875290, + 715716170, + 592387495, + 527723524, + 728780028, + 506605524, + 688973166, + 671888141, + 905386111, + 520383626, + 862925921, + 830575591, + 403104684, + 106425503, + 331808456, + 188089443, + 10815219, + 565642939, + 358094969, + 867175074, + 29066438, + 924721666, + 544286766, + 949220361, + 830356434, + 322186438, + 797193948, + 999088195, + 944168751, + 17296315, + 890667968, + 228600007, + 689463800, + 549461114, + 407062945, + 992741540, + 644421095, + 256227231, + 449048778, + 511541812, + 433690742, + 471926479, + 298416439, + 922848226, + 463237372, + 696399197, + 990165276, + 126746212, + 929465355, + 171829000, + 688944091, + 386745327, + 30684224, + 583176818, + 535162625, + 57037215, + 902111214, + 610620379, + 779236177, + 721063716, + 907064426, + 194030915, + 275393172, + 627252200, + 464694205, + 543426838, + 302281508, + 598425543, + 154663581, + 968630936, + 70174958, + 772688641, + 460094785, + 845398822, + 923687205, + 119662297, + 12986991, + 329973646, + 229840711, + 888382852, + 929917485, + 180103723, + 363932208, + 965428031, + 705458355, + 294353381, + 532132948, + 900202384, + 47863497, + 43684819, + 290522645, + 453193026, + 389886117, + 871853160, + 65327774, + 592273774, + 791906761, + 303073314, + 825127167, + 7861424, + 652106810, + 707997475, + 853473899, + 288078750, + 296366579, + 753958320, + 92979083, + 880497856, + 580041700, + 336240302, + 943001247, + 558273475, + 666893107, + 232852259, + 910943303, + 734718839, + 992576534, + 972667864, + 934536176, + 122186083, + 798138702, + 878165482, + 987682975, + 415555455, + 638826798, + 973746721, + 748252865, + 605406427, + 395229697, + 916495069, + 808527122, + 764273058, + 504442542, + 942513426, + 53045046, + 998103045, + 402982620, + 610150125, + 78643856, + 370691006, + 606947766, + 699127215, + 581310088, + 520189570, + 731093766, + 200942881, + 410997201, + 506764123, + 270889434, + 3214019, + 67917091, + 192861192, + 118168651, + 872261890, + 614385714, + 253792561, + 29201571, + 974773766, + 191634218, + 549402052, + 932941723, + 453093668, + 222666012, + 971800714, + 90668489, + 736496201, + 973834698, + 323221978, + 181780500, + 370769177, + 601972012, + 464746187, + 820205139, + 5631204, + 225121752, + 999690739, + 218099399, + 914055263, + 468644838, + 27536217, + 437735413, + 82202453, + 336712227, + 957416531, + 609854370, + 91358152, + 685143970, + 607945368, + 323506158, + 499834623, + 900243029, + 17405950, + 155272930, + 299324309, + 501638246, + 188885176, + 950085620, + 957576258, + 795527746, + 808378867, + 974679676, + 346445754, + 663524805, + 410945110, + 194188112, + 481769462, + 719420608, + 451804077, + 549610158, + 349558025, + 679008651, + 189047350, + 613770535, + 564426911, + 999313000, + 379723930, + 829627532, + 68213419, + 406843175, + 765938588, + 982766631, + 109028515, + 508739701, + 937509627, + 241297356, + 547559258, + 570983840, + 996991456, + 715856085, + 901737485, + 935048656, + 354467528, + 49428885, + 578632410, + 611433240, + 631619443, + 751726794, + 612270331, + 373695102, + 545065749, + 744959829, + 371470059, + 739772678, + 913550211, + 167484129, + 66634279, + 868468519, + 560011929, + 570066733, + 978652222, + 278915183, + 497105318, + 501406252, + 505469007, + 44424902, + 861468706, + 655961020, + 967413462, + 269595980, + 961337940, + 61978990, + 721043629, + 259634431, + 836576635, + 885521519, + 546441422, + 190080486, + 806491576, + 416577696, + 911560487, + 555314857, + 827301887, + 65700299, + 95583493, + 989384574, + 932878488, + 843009525, + 901915327, + 175894974, + 346037861, + 281003195, + 883692425, + 419706572, + 470318984, + 70227489, + 207090707, + 941495333, + 918758130, + 662850211, + 101330114, + 583187243, + 953062301, + 384887919, + 108018284, + 450598564, + 326501138, + 930485101, + 300867470, + 267614698, + 447740996, + 881038602, + 368237118, + 413718958, + 505675570, + 88786161, + 892089332, + 839845015, + 745241488, + 285892382, + 209713032, + 911931071, + 676073164, + 759319822, + 781061092, + 190291952, + 742717837, + 81117746, + 904929968, + 892834302, + 987145938, + 529683689, + 471349853, + 885797666, + 743496573, + 906527721, + 886027926, + 905291228, + 103945278, + 315591141, + 91061696, + 753720009, + 26178002, + 217917690, + 951492207, + 951406264, + 369770442, + 441621808, + 621470889, + 667286255, + 596259589, + 422938507, + 939320694, + 535141947, + 57332918, + 877994421, + 188347799, + 338590617, + 13682392, + 83040141, + 664788894, + 776147858, + 891525260, + 302886385, + 903522802, + 217885392, + 597132833, + 920161087, + 960156739, + 409495545, + 998535992, + 8917970, + 176154406, + 38453571, + 668158421, + 52500275, + 274086399, + 296723018, + 997397688, + 16213568, + 724741923, + 624178400, + 705804348, + 778000057, + 647593158, + 314325022, + 227594710, + 564258072, + 368451036, + 437069493, + 108946197, + 118469114, + 38843632, + 399539341, + 294386849, + 622196728, + 270713816, + 753365648, + 701083767, + 174267094, + 554640305, + 191358519, + 16899022, + 140901269, + 394250193, + 746041002, + 637316636, + 224800036, + 702358732, + 723810604, + 755404900, + 410025473, + 393850672, + 196035405, + 409421379, + 573665010, + 883218846, + 664923003, + 662585796, + 405014269, + 778258328, + 758945783, + 31098884, + 470593804, + 835918086, + 654029947, + 299107080, + 630252741, + 784651504, + 824280924, + 531336009, + 729832690, + 19250974, + 832861208, + 493183055, + 898480941, + 459502292, + 588482201, + 111557187, + 993019915, + 641188960, + 640672998, + 189700268, + 819705047, + 385076358, + 104696782, + 771313886, + 534769807, + 156143141, + 550616193, + 832417358, + 244086153, + 943943389, + 367451730, + 828534121, + 886694721, + 836510198, + 67701662, + 564481459, + 602836040, + 410216558, + 106992468, + 792801219, + 549645882, + 759241084, + 399824233, + 209316885, + 522901372, + 149102861, + 762357531, + 235701969, + 68577912, + 901337136, + 473930717, + 893053762, + 750922847, + 144041187, + 186174561, + 887627528, + 205426865, + 589009819, + 87107494, + 920196240, + 983140536, + 102121639, + 783686011, + 97734112, + 425404216, + 982190774, + 387782503, + 869494970, + 992593396, + 565442077, + 469391335, + 226832602, + 197033040, + 911039500, + 457228487, + 432352132, + 77077779, + 120261726, + 470304300, + 322034176, + 370805045, + 291436924, + 332229928, + 395352732, + 41563722, + 845389930, + 381878511, + 325863614, + 397889250, + 695119672, + 752493429, + 92762301, + 473841878, + 495959726, + 727357277, + 231784134, + 950186296, + 961684510, + 821247368, + 983495697, + 345894586, + 898191128, + 246316098, + 580022122, + 294050132, + 974283293, + 169991162, + 94307333, + 696229949, + 715721934, + 62870355, + 493757314, + 69302701, + 571791870, + 123982466, + 548294631, + 409693909, + 220827204, + 421438557, + 34618256, + 547935185, + 965860576, + 322835389, + 521530010, + 955908493, + 868139673, + 979753097, + 513067041, + 842606279, + 732476154, + 111138436, + 1657182, + 870130807, + 423931151, + 559675266, + 953707177, + 553313698, + 819382176, + 364562663, + 303699218, + 516464167, + 363487640, + 307656948, + 8760029, + 758736431, + 129262889, + 672525553, + 26049884, + 278808835, + 255337588, + 120612924, + 818270566, + 713988212, + 790347750, + 19099710, + 92695610, + 376725301, + 404270887, + 716722565, + 582533559, + 889958979, + 102641439, + 501914051, + 926757613, + 14633289, + 653476358, + 736415081, + 970267289, + 650287860, + 670710925, + 855085978, + 891046183, + 655795636, + 431892716, + 679211064, + 248380657, + 837610515, + 676163700, + 153629147, + 459229857, + 671573062, + 830281455, + 596057407, + 936670166, + 287013197, + 192164446, + 980990740, + 390816208, + 934542498, + 631076711, + 970641919, + 467451663, + 356901889, + 920627624, + 843378964, + 898524355, + 761808047, + 663799447, + 590479885, + 430072083, + 57564303, + 369798365, + 696972611, + 452525695, + 765701606, + 226838962, + 539619984, + 896814690, + 397521927, + 695447533, + 81296124, + 787929606, + 439955988, + 983224675, + 161635573, + 854381594, + 177129388, + 185547037, + 887624794, + 221931249, + 600816462, + 733073665, + 910370145, + 114686897, + 437485077, + 863341806, + 501838021, + 9053931, + 759546133, + 312968900, + 254634339, + 709225937, + 300649094, + 995732236, + 743435725, + 888926342, + 962819185, + 700389830, + 853288255, + 822977590, + 607231344, + 603294436, + 254202060, + 956995867, + 785615133, + 483367706, + 538049782, + 833595097, + 118652448, + 53600746, + 565477479, + 875515443, + 320488266, + 555304249, + 622984510, + 725781097, + 740660225, + 915004905, + 125795075, + 231831629, + 320973517, + 971375215, + 416413727, + 19369321, + 818811537, + 638517355, + 732642423, + 404738070, + 883768603, + 221945452, + 628630828, + 447463835, + 213374755, + 793083226, + 535617260, + 697307058, + 891073176, + 49462967, + 915659272, + 406236695, + 4172174, + 967581898, + 589077504, + 463557772, + 587011878, + 25681370, + 667278613, + 824751350, + 138415654, + 818998509, + 244348375, + 566289087, + 505379178, + 719960320, + 425268390, + 833923057, + 107288952, + 232791640, + 903518268, + 819430027, + 635068909, + 204151962, + 203995830, + 621749655, + 120617360, + 141692446, + 796948433, + 859910161, + 307679122, + 458190182, + 301631516, + 408047460, + 827044205, + 945829145, + 438580256, + 535655861, + 654752002, + 820438095, + 552227983, + 65279650, + 245565220, + 457305011, + 539439573, + 461009708, + 729321239, + 954511080, + 194765059, + 708304314, + 446710905, + 621024607, + 337774371, + 800347618, + 971344589, + 250340891, + 971065072, + 525152759, + 235402812, + 259290305, + 539441840, + 242781598, + 246111995, + 26879317, + 589926868, + 436576020, + 980390610, + 937813048, + 634376378, + 587584248, + 777873570, + 836464431, + 372479223, + 368949362, + 293443707, + 242779055, + 810758409, + 610296916, + 717914911, + 571331642, + 75452382, + 375425906, + 281149284, + 423107974, + 150049876, + 869311390, + 902039205, + 413717965, + 41118469, + 461367202, + 916379846, + 258965117, + 700325562, + 303092891, + 86800329, + 49310758, + 952473190, + 538870766, + 49466714, + 735035154, + 524113292, + 164599405, + 877290077, + 446531628, + 654727039, + 565450812, + 494589836, + 357049151, + 97030971, + 677413473, + 69086640, + 982706192, + 819680197, + 953099202, + 647453216, + 758805489, + 690820344, + 390630169, + 754051408, + 155446519, + 10603184, + 369554723, + 350714089, + 373607463, + 104246760, + 678068028, + 886424273, + 101591392, + 854029229, + 899238578, + 609541379, + 943451378, + 677655517, + 365804023, + 517987198, + 316097811, + 630337763, + 118921212, + 20608702, + 853172095, + 529234628, + 414138542, + 434625299, + 410545284, + 764998678, + 960152790, + 580552277, + 596193119, + 581276702, + 665324394, + 457100260, + 133019534, + 873634210, + 53255530, + 497985717, + 669282348, + 571546133, + 241494652, + 489182388, + 810737001, + 774501013, + 680226697, + 200465027, + 693491541, + 113783516, + 596327367, + 676374254, + 120806007, + 496607189, + 262120651, + 278992181, + 75721762, + 854949310, + 462051187, + 655531299, + 221589171, + 687083955, + 292734943, + 314006533, + 946191589, + 562736332, + 946955199, + 570265764, + 733648586, + 677492119, + 444434066, + 875130968, + 88914647, + 553988425, + 610849011, + 189275568, + 512186308, + 64714314, + 892718001, + 928762219, + 668824200, + 191816319, + 994183189, + 695340557, + 511358681, + 956444470, + 891323066, + 686607568, + 990877883, + 208053993, + 953333254, + 101824103, + 240541336, + 361420109, + 902559492, + 76109821, + 773081586, + 408338839, + 154495692, + 784722256, + 189603220, + 830282775, + 861839574, + 216865899, + 172486948, + 723052708, + 796607840, + 602166123, + 654981828, + 646781070, + 486580438, + 373212519, + 874561697, + 554070373, + 167441550, + 750171145, + 118223373, + 300683884, + 981300789, + 432653897, + 766230010, + 106833584, + 964693921, + 386664714, + 626962744, + 11473185, + 314015696, + 2672577, + 312071384, + 275603243, + 694392504, + 166444513, + 587020837, + 86475791, + 294231551, + 215741055, + 699764571, + 116139525, + 586501687, + 177722947, + 564474623, + 652038712, + 511882547, + 471977172, + 815783462, + 531546739, + 152910342, + 16711971, + 425667472, + 37533101, + 600003268, + 914653573, + 402056459, + 433868203, + 229126770, + 769215350, + 375429561, + 807734105, + 75324370, + 752198179, + 601127580, + 771601530, + 620581496, + 373249689, + 530186652, + 957848364, + 853378087, + 487710824, + 997238512, + 867921136, + 542672403, + 705186705, + 54122350, + 559808962, + 493820787, + 142427631, + 12509719, + 522143765, + 110733668, + 516362496, + 840929793, + 771843860, + 979094839, + 67840472, + 885942071, + 51138090, + 760613808, + 226511243, + 186517046, + 181640884, + 565507634, + 574424189, + 297063504, + 323851881, + 103760229, + 241454390, + 658225333, + 26368553, + 178506139, + 637315973, + 539727341, + 750232099, + 143616984, + 68083813, + 20134678, + 499571753, + 770007381, + 712585131, + 744480811, + 706305647, + 441987970, + 619279583, + 336872586, + 210455073, + 75966377, + 871530093, + 134922569, + 166714264, + 17639355, + 578345769, + 145635, + 332270560, + 283219630, + 625282943, + 84102072, + 269936478, + 950431044, + 783972134, + 525673851, + 402641490, + 354256278, + 265235451, + 702634934, + 865872523, + 739354480, + 466181327, + 512846015, + 27833641, + 292351458, + 44133307, + 899987661, + 329438586, + 751599880, + 588113901, + 907508690, + 561087799, + 95427431, + 436519310, + 159846905, + 139508027, + 642572586, + 211911196, + 784693506, + 808923493, + 367118805, + 660581143, + 157778860, + 678716255, + 735781260, + 463543857, + 901630623, + 929926592, + 432638269, + 313909667, + 334644815, + 94732082, + 472254851, + 41725816, + 813657249, + 831659891, + 862483890, + 760375856, + 165957802, + 138950716, + 548867407, + 788856493, + 190796801, + 312834157, + 782140171, + 120039234, + 767506325, + 581444432, + 995401619, + 360786105, + 416813730, + 49064924, + 78119635, + 638015791, + 855921776, + 311067115, + 254350764, + 499887089, + 749059205, + 976457171, + 31214816, + 748181237, + 836496917, + 250619827, + 630893932, + 349732314, + 899372695, + 670644530, + 118036884, + 749881420, + 760297040, + 597812342, + 888852281, + 617446105, + 834637373, + 404888581, + 433887930, + 252575530, + 962884275, + 277900486, + 554245737, + 319506045, + 258954451, + 370921394, + 782675613, + 761624438, + 978806362, + 51065618, + 995089471, + 185815913, + 937819890, + 321820508, + 65378678, + 776461611, + 154775569, + 770159843, + 869523911, + 235135585, + 749248182, + 370507750, + 337676952, + 211749682, + 324910470, + 402202464, + 691789883, + 978287174, + 377541733, + 586508972, + 921078682, + 341660957, + 80867431, + 664669371, + 791577960, + 142420963, + 40655853, + 253334589, + 378452395, + 261206111, + 849667451, + 345437009, + 763928719, + 345129243, + 628523175, + 86382500, + 428696581, + 408207142, + 49910328, + 559786467, + 248794057, + 6676487, + 201370850, + 12648471, + 267054088, + 839719785, + 362638702, + 975517714, + 596639507, + 230421708, + 362762923, + 57787446, + 743004975, + 633616035, + 298801715, + 464893346, + 415110350, + 696591795, + 298937150, + 765366805, + 843120015, + 669037895, + 13487239, + 960168215, + 862606920, + 968644335, + 329802181, + 863102717, + 839104638, + 976203464, + 598119310, + 843551558, + 995177134, + 69168761, + 649247976, + 711017717, + 254636619, + 136728592, + 607723295, + 882064751, + 511429583, + 559246940, + 684821565, + 255356174, + 524354061, + 562206129, + 823586022, + 134995736, + 717068194, + 545773852, + 267980342, + 651986664, + 915101771, + 538431240, + 902228229, + 542480907, + 180960353, + 901305213, + 808553644, + 302801958, + 835952470, + 887023268, + 807365582, + 863312452, + 891841, + 827027403, + 788340107, + 199522754, + 70827764, + 841959434, + 258994338, + 591132244, + 279437053, + 616385878, + 203635184, + 128824370, + 970082409, + 627212132, + 901849047, + 119777219, + 610000608, + 295999813, + 695061694, + 861311570, + 486737863, + 58456488, + 374900942, + 319131727, + 865393319, + 953430586, + 919040101, + 584692873, + 731531993, + 998563224, + 502694191, + 848160792, + 194895064, + 549824870, + 821187886, + 676343041, + 322966670, + 154202671, + 842338863, + 296181701, + 430133676, + 439629268, + 702652307, + 216386072, + 389741675, + 185817946, + 440387328, + 894537922, + 336722056, + 973924095, + 478261103, + 992907905, + 364378103, + 352038298, + 164151351, + 161125679, + 779096237, + 635760530, + 8088846, + 960330672, + 563516561, + 803763353, + 623728659, + 463829494, + 800826562, + 48280692, + 89564913, + 157720853, + 75506721, + 199288195, + 266824590, + 22431626, + 983518810, + 611747341, + 702683777, + 95454039, + 527747369, + 146117868, + 611998825, + 298655910, + 994808582, + 476774076, + 747444674, + 402995445, + 603051398, + 221373106, + 454514409, + 555724143, + 878115456, + 842958132, + 800243495, + 112083217, + 526598869, + 113934522, + 327129830, + 421966678, + 869831096, + 885780597, + 674522806, + 269282212, + 706389509, + 705681255, + 38702430, + 404985527, + 249996177, + 623868707, + 293286923, + 438744192, + 442519584, + 861374360, + 477487083, + 349748852, + 865333113, + 440769555, + 536533373, + 187442392, + 784096282, + 26932394, + 241589254, + 55175047, + 538862299, + 160902027, + 737579369, + 85103511, + 409643639, + 483318631, + 543183304, + 620725431, + 468217457, + 224757657, + 978536901, + 791871715, + 710605863, + 33312080, + 753469505, + 906728486, + 209298248, + 399896029, + 625752086, + 286975498, + 693872612, + 430959972, + 109166424, + 800032686, + 840371529, + 613495193, + 822426667, + 165521172, + 771762221, + 612143940, + 805452791, + 73584331, + 820997608, + 350094672, + 299617181, + 781675916, + 291073487, + 412860254, + 510915688, + 704899772, + 863034099, + 315875887, + 106086302, + 301712802, + 791203342, + 167196613, + 778633799, + 174989425, + 18286133, + 647826669, + 513168041, + 590231295, + 575815779, + 949480769, + 294281935, + 809644322, + 625869164, + 969686783, + 719992388, + 633544746, + 739388324, + 69248318, + 896692519, + 442685441, + 583561100, + 789766844, + 356052239, + 140149248, + 412173036, + 274380692, + 734888340, + 375918521, + 884867598, + 413208837, + 495902991, + 165572488, + 581953179, + 963544308, + 201208195, + 638228065, + 730158902, + 946020246, + 420116986, + 97300496, + 94579099, + 396413086, + 919275372, + 275620808, + 739431286, + 330792837, + 331811130, + 683633297, + 983400538, + 273919185, + 41527513, + 639414538, + 747065240, + 212116645, + 881968589, + 107885185, + 300078257, + 886969463, + 669995077, + 448816021, + 899806604, + 30000900, + 893603686, + 486668473, + 929726267, + 444341559, + 80741964, + 128118760, + 687442595, + 258945335, + 729366318, + 182120644, + 389861525, + 290115649, + 264665261, + 386219993, + 310644253, + 519266580, + 400353444, + 30983579, + 655025070, + 910821985, + 727158963, + 904171034, + 840231768, + 56347682, + 299367596, + 974453300, + 835834637, + 954753125, + 654116376, + 689251059, + 938156675, + 427009525, + 913353246, + 154901290, + 673642788, + 796176844, + 864864014, + 893580269, + 338726382, + 31892362, + 43263181, + 941985369, + 261983580, + 261556368, + 85995705, + 729063824, + 398764625, + 739091344, + 149542575, + 182245285, + 450378773, + 947518607, + 679578960, + 566394058, + 574925612, + 15751191, + 746112028, + 277174192, + 309954594, + 316786900, + 634284768, + 21746509, + 570478224, + 429581392, + 585301103, + 784214977, + 497577212, + 394136466, + 898482550, + 307675926, + 9537559, + 821626235, + 310476691, + 806951780, + 988109586, + 156038206, + 73195493, + 884297747, + 82754242, + 822937850, + 915908519, + 588564381, + 434427486, + 502479448, + 84314377, + 760195689, + 875107757, + 547265520, + 971203689, + 226020219, + 331910469, + 966153157, + 965730160, + 387092392, + 311717364, + 882214270, + 309760050, + 150034346, + 950966700, + 474236987, + 637672854, + 674590620, + 353389932, + 789294112, + 418842060, + 462039398, + 346011415, + 186883243, + 783371307, + 321195572, + 763131578, + 707931162, + 761293684, + 857275067, + 450688967, + 365297895, + 826722743, + 867620367, + 751092466, + 542966857, + 651936638, + 520549115, + 860538705, + 562477681, + 180730138, + 701323489, + 643078766, + 996183122, + 475096869, + 810662781, + 17540252, + 362995215, + 869884826, + 404930008, + 300005920, + 698863623, + 208365879, + 103827198, + 442837073, + 8668328, + 974687216, + 132832980, + 655452843, + 260181735, + 559457259, + 787374062, + 445289976, + 246924038, + 620039171, + 662954386, + 626280296, + 697968998, + 571940671, + 571402991, + 170638761, + 988154874, + 850655062, + 653603513, + 618953959, + 155732817, + 217036651, + 630602896, + 628387385, + 722246879, + 995233160, + 754228094, + 598346886, + 117608204, + 550053513, + 131820839, + 950285522, + 839445244, + 646084628, + 700314276, + 737370241, + 255640417, + 153189076, + 994981342, + 286059797, + 711656309, + 345438216, + 35926743, + 678771606, + 890297202, + 281235431, + 240784899, + 399917064, + 509325438, + 763077172, + 779389632, + 799932195, + 338383869, + 116872261, + 689923738, + 203550735, + 319193010, + 441439073, + 738704912, + 669585777, + 730641692, + 266021944, + 189893970, + 774543085, + 351706363, + 113651295, + 734740611, + 918495446, + 265461548, + 659659326, + 391900267, + 596252484, + 365201030, + 598274221, + 370826911, + 244510029, + 689141182, + 119410676, + 10343580, + 439287889, + 499146090, + 331794920, + 666567614, + 281992529, + 502770083, + 305091160, + 201666550, + 728994232, + 204202710, + 722555787, + 22464031, + 172876159, + 827372965, + 429315435, + 371820638, + 452214155, + 39696828, + 969206450, + 705760693, + 812279939, + 95307565, + 4111065, + 617655, + 851741487, + 107999871, + 15354719, + 396442631, + 735278380, + 131876443, + 921585112, + 741527016, + 484966030, + 830165491, + 372460408, + 972897367, + 465580542, + 853402983, + 526251621, + 162979560, + 88253680, + 639921709, + 223661240, + 233702433, + 834760908, + 381341548, + 534289448, + 583711114, + 617362645, + 414329819, + 73021259, + 91277810, + 149139162, + 436606813, + 156866303, + 109296135, + 643616911, + 693398491, + 346259067, + 455421565, + 677197809, + 893005993, + 213208475, + 550686918, + 676116780, + 751275722, + 94085680, + 357096623, + 327463044, + 910670295, + 786183306, + 475353918, + 881517271, + 973964242, + 687919547, + 298898408, + 224958673, + 410052733, + 780675438, + 752229324, + 938636524, + 128854994, + 985251938, + 154589371, + 317368160, + 175436951, + 670763097, + 134708138, + 92525470, + 445876349, + 9870277, + 823279039, + 832025292, + 601866834, + 657593542, + 562114049, + 667899343, + 259256387, + 449730514, + 90049481, + 232889706, + 302857085, + 158602748, + 379555203, + 177568239, + 313187993, + 158365268, + 681219686, + 390645789, + 19342663, + 427583740, + 895051127, + 725934247, + 76089452, + 378303528, + 382297831, + 949516414, + 704001063, + 226980081, + 561009316, + 434623712, + 215981203, + 193900780, + 48503257, + 867947979, + 50525230, + 187521487, + 160687268, + 158211534, + 122218198, + 41112553, + 918600876, + 850075240, + 798956125, + 416523471, + 641669096, + 570315789, + 940699243, + 243224063, + 468155632, + 926801555, + 694412756, + 126304776, + 983508325, + 96026416, + 680153341, + 709498101, + 91442717, + 992558391, + 419997461, + 196021007, + 645369311, + 826927240, + 494233052, + 193566425, + 583102363, + 225153408, + 322613966, + 674582672, + 44611739, + 640701898, + 8581508, + 375550018, + 652309558, + 773872686, + 915241885, + 591860033, + 490857049, + 115041257, + 920666949, + 356913049, + 859505755, + 16679878, + 731155980, + 734651919, + 194382589, + 722172786, + 597359734, + 907093853, + 265924588, + 324885586, + 259480601, + 243852158, + 800676484, + 648674980, + 734824566, + 274026659, + 569733284, + 303489513, + 950644676, + 625403037, + 165031728, + 472276861, + 412850980, + 709723947, + 15367513, + 538220726, + 589380627, + 669108141, + 513956987, + 523361134, + 173567461, + 268745890, + 674414148, + 803506583, + 519645396, + 983132447, + 237961585, + 218250916, + 623856322, + 331580081, + 499916733, + 788439496, + 867129642, + 556198816, + 652043849, + 64417408, + 372258142, + 602375596, + 399859994, + 248075779, + 564989100, + 319476826, + 19329350, + 626952412, + 845826669, + 719685576, + 451805181, + 891062739, + 666376296, + 952883424, + 921822635, + 469565716, + 687551490, + 906916656, + 960004330, + 188624276, + 82723782, + 275366813, + 953368885, + 814065722, + 162099127, + 794357798, + 508063434, + 551654224, + 394171122, + 497924298, + 963612472, + 47335286, + 209101940, + 876856523, + 81206168, + 647375608, + 867035131, + 594211198, + 314479061, + 532062269, + 730503093, + 25382420, + 632167989, + 908275038, + 832089108, + 859392397, + 745438659, + 783398541, + 594869050, + 777814513, + 403902555, + 749908626, + 976879765, + 322519990, + 487264781, + 451080455, + 768566840, + 963689504, + 956909630, + 379760871, + 214794607, + 138260268, + 248705930, + 865181611, + 690514283, + 119052845, + 308179111, + 534857366, + 363487890, + 456694794, + 68423438, + 709889323, + 490492453, + 726347823, + 285193503, + 726936701, + 224472328, + 955710675, + 994204844, + 575981905, + 202346463, + 318950289, + 864103813, + 899140796, + 857176467, + 864910678, + 688999432, + 668873811, + 613386244, + 360945398, + 838928068, + 937954184, + 833571945, + 961740823, + 614495158, + 838626033, + 547620253, + 261583236, + 686236176, + 195364830, + 314636411, + 835726227, + 74522664, + 611565480, + 858520189, + 720298177, + 217538070, + 46481923, + 493923236, + 478135761, + 916479343, + 607810678, + 297391607, + 677904747, + 773654039, + 558357951, + 555652643, + 617572874, + 124694055, + 882443707, + 906941998, + 355394326, + 112964691, + 100472106, + 36881425, + 709494465, + 693717979, + 561017375, + 133961901, + 971863953, + 481571089, + 324289225, + 843451368, + 278959473, + 399226812, + 285579945, + 78482752, + 417278379, + 428924163, + 775015819, + 913043980, + 388307991, + 714962673, + 460884407, + 265627241, + 30023227, + 181732789, + 937017994, + 563602271, + 668869547, + 743843327, + 602918341, + 96439516, + 334038585, + 176299133, + 787008171, + 937862774, + 487375385, + 409903689, + 29132219, + 964945257, + 241356155, + 649303935, + 358294921, + 397325414, + 220586918, + 851883989, + 557898870, + 747959571, + 1156663, + 10480960, + 271586610, + 53620157, + 860978931, + 652996630, + 794127643, + 933697420, + 674632487, + 88067458, + 403708304, + 35256285, + 43914945, + 255850543, + 234732819, + 206817332, + 94023423, + 222849008, + 67875524, + 852019111, + 488458783, + 590622193, + 19301788, + 378079574, + 375463915, + 149529648, + 787005579, + 790633926, + 281263642, + 686351790, + 934450906, + 471731947, + 295900320, + 972080183, + 292897916, + 620832144, + 235275649, + 117411466, + 622645231, + 701293943, + 681053313, + 581386546, + 226124776, + 915370984, + 383103454, + 901736473, + 535980730, + 424008117, + 554220558, + 625554190, + 841458974, + 304356743, + 144978538, + 792142906, + 759017383, + 323808241, + 139897770, + 681340962, + 267494673, + 561628911, + 932328241, + 861512346, + 184630696, + 866136153, + 241088282, + 58676422, + 334864133, + 641431435, + 453564203, + 420333321, + 107821497, + 469861846, + 953120914, + 603508891, + 783813592, + 297462390, + 779763938, + 905266075, + 616096518, + 788619104, + 707675929, + 630130931, + 670169489, + 892612188, + 266190309, + 562573589, + 684540397, + 701936636, + 387117407, + 417406534, + 326834057, + 133110960, + 526988889, + 520532681, + 740095320, + 133375094, + 180346519, + 299335942, + 243801356, + 620944196, + 735791181, + 408196243, + 153998233, + 900096231, + 820092296, + 769411869, + 896530768, + 147048906, + 753000275, + 17746593, + 768119246, + 614921133, + 592559349, + 899387616, + 440376725, + 527994247, + 68704492, + 497622519, + 61287001, + 621093931, + 258088115, + 471988152, + 774106770, + 710689144, + 356125804, + 902896641, + 718302370, + 744993559, + 330500311, + 573449279, + 234058350, + 21373459, + 217780589, + 504008949, + 697327891, + 836937429, + 467088609, + 537891470, + 270280412, + 434344271, + 803960467, + 84444777, + 347503651, + 599884060, + 777709014, + 778884240, + 181962406, + 43030662, + 533763747, + 708954442, + 93029678, + 627304698, + 940082859, + 53459599, + 583094296, + 537429716, + 462352188, + 113027941, + 521464874, + 549910627, + 316053539, + 53902286, + 838853294, + 726530849, + 379139509, + 373985941, + 648801534, + 423892201, + 736178419, + 8451307, + 776163973, + 389451609, + 500402603, + 550454654, + 973473754, + 324431379, + 878704036, + 534455398, + 901780046, + 350129121, + 685953906, + 909412156, + 713328606, + 429443220, + 543783702, + 521191758, + 979198648, + 353724462, + 879663608, + 993799631, + 484844452, + 24848104, + 955427905, + 141942568, + 590771295, + 552453013, + 736274028, + 116067877, + 88925904, + 48414268, + 191487445, + 558316821, + 183999024, + 573345138, + 797299896, + 981515883, + 493258351, + 686263625, + 39929343, + 890564813, + 875874168, + 659485263, + 852719729, + 257534565, + 211274719, + 945830860, + 377340725, + 352421164, + 184800603, + 106936992, + 51969625, + 644343678, + 222517051, + 475164643, + 295179641, + 680088666, + 539195866, + 221932867, + 784881018, + 255498536, + 264594958, + 49927463, + 722288873, + 221146538, + 785135560, + 99582529, + 128756142, + 59352238, + 291264479, + 811676475, + 630926012, + 947380867, + 214126329, + 975880579, + 283613796, + 126042478, + 372870386, + 711488531, + 272122269, + 831466360, + 685211001, + 125346271, + 466799008, + 315452855, + 364880166, + 49007027, + 984657751, + 9164978, + 804217705, + 2049449, + 263581761, + 344230816, + 623166199, + 242279521, + 397344468, + 583577504, + 936579884, + 28380236, + 218643714, + 95064749, + 19977315, + 922579290, + 371968273, + 523121972, + 67246632, + 769156572, + 647150692, + 229397126, + 530149022, + 236543736, + 175240155, + 364330900, + 939420927, + 744129181, + 139243439, + 387086470, + 891163341, + 968153719, + 520565693, + 484789336, + 723605279, + 610639127, + 608005870, + 490360624, + 573757589, + 54053021, + 63732927, + 244172885, + 715329966, + 44847971, + 418999532, + 438198856, + 657732023, + 757688222, + 504152852, + 914632687, + 186725859, + 791873050, + 234933455, + 738160319, + 478151913, + 786484263, + 252377528, + 135932468, + 478995225, + 363202526, + 212509401, + 320391497, + 534839415, + 466030517, + 759954544, + 623134661, + 542232528, + 667133635, + 337593371, + 732873748, + 788773058, + 490014758, + 793155137, + 800604579, + 285728211, + 651189402, + 284974861, + 84334217, + 41475237, + 256334745, + 565545805, + 370262567, + 756355197, + 366819468, + 49918500, + 163111163, + 478601917, + 778853449, + 106486145, + 284149223, + 662441035, + 110796247, + 683839526, + 483178694, + 551874305, + 398796274, + 699577285, + 118742729, + 367599290, + 602239483, + 630388583, + 144621073, + 992187706, + 746649662, + 617926710, + 750120746, + 153336042, + 76037972, + 82169988, + 879708995, + 988146344, + 347829385, + 699095545, + 833610981, + 695445138, + 308891230, + 485223142, + 106200028, + 803773752, + 847263200, + 829808875, + 148939117, + 925174048, + 856652746, + 769624111, + 748778060, + 622611248, + 439189205, + 999562693, + 353776032, + 986849973, + 818696263, + 206059914, + 592999423, + 267166713, + 120320461, + 879492521, + 319451236, + 977949469, + 467055967, + 9325256, + 506195155, + 113696033, + 314428178, + 110264589, + 918713707, + 218702989, + 747279103, + 63550672, + 637886578, + 412359030, + 194763760, + 362527211, + 718662614, + 455439376, + 145586915, + 250152678, + 449743695, + 244685004, + 770872414, + 317640769, + 81013618, + 737532282, + 515590961, + 541374555, + 628868034, + 421757720, + 837653538, + 886781920, + 891521400, + 250498725, + 729143583, + 36219749, + 52471322, + 774066491, + 759637083, + 881255802, + 761308218, + 566902011, + 413489429, + 973843296, + 270912492, + 244159089, + 437504135, + 406389056, + 459326396, + 439253318, + 515621856, + 287381241, + 701790927, + 924293223, + 774479979, + 908409961, + 96875283, + 385572489, + 815651137, + 284859709, + 948122728, + 772397431, + 417289356, + 128887741, + 811764897, + 65415832, + 214814416, + 729420550, + 244351556, + 914997482, + 86873257, + 17947347, + 211607219, + 55422350, + 869138566, + 98839823, + 488760678, + 629313263, + 599145477, + 576604485, + 749302865, + 44447713, + 666422499, + 913621468, + 41286968, + 263640051, + 8430690, + 226742403, + 858080467, + 413309803, + 465617442, + 862685254, + 269636798, + 885344144, + 597792513, + 279832370, + 733396309, + 780285949, + 364920942, + 561388916, + 236123094, + 57277316, + 395967465, + 866739189, + 923506524, + 676921919, + 741366127, + 983787889, + 33316734, + 300720930, + 349739964, + 243982600, + 228498962, + 371615839, + 377044750, + 402756128, + 366266447, + 794831306, + 729184717, + 317210475, + 519724850, + 995576522, + 862408208, + 729612085, + 454968405, + 77004022, + 535249291, + 429590455, + 810539863, + 89488124, + 149068650, + 352139401, + 874487477, + 370030145, + 577191338, + 797907638, + 837272794, + 386502608, + 636777727, + 393006584, + 462939091, + 476730583, + 628345902, + 463764081, + 38829272, + 776658229, + 201287732, + 227713219, + 863415766, + 325934344, + 888290701, + 716696955, + 416599106, + 202094387, + 456096032, + 103524342, + 230451257, + 998635276, + 342970028, + 918080754, + 22831863, + 221915146, + 390624461, + 437206479, + 394398030, + 243000000, + 670721054, + 912445961, + 74864262, + 476547875, + 801255080, + 729739227, + 729221810, + 624002653, + 648269782, + 128130116, + 843043130, + 63665483, + 316499054, + 231346872, + 881481429, + 79174268, + 51306796, + 789268367, + 198806327, + 636807586, + 111801567, + 941913818, + 485453654, + 769935806, + 231757606, + 477760008, + 744305469, + 23629295, + 203837574, + 217151623, + 67965759, + 8190394, + 446948106, + 876481005, + 313672514, + 934273856, + 532699571, + 848731664, + 846624933, + 517222488, + 841083327, + 200760308, + 549628088, + 460859838, + 814780401, + 843189296, + 846812980, + 859058037, + 291660257, + 201539829, + 109029071, + 494825648, + 880472371, + 598258397, + 766585137, + 873375955, + 507762524, + 205978125, + 633289121, + 734034923, + 289580785, + 363046386, + 651070685, + 318899903, + 145202317, + 73908216, + 3142068, + 846707767, + 7113165, + 858063193, + 644999694, + 808856820, + 993748726, + 221051976, + 15598435, + 420003338, + 902969444, + 694745684, + 828167871, + 810904867, + 317734049, + 191083092, + 808201616, + 986075462, + 551687290, + 715309706, + 332578268, + 301789762, + 381606632, + 843232612, + 339239828, + 984499952, + 336255863, + 360770146, + 496901229, + 911604616, + 91818915, + 768240702, + 318069251, + 432109927, + 419764356, + 247799605, + 102817127, + 791848549, + 140468460, + 12045087, + 302047297, + 193839744, + 150573720, + 705935135, + 403407650, + 564932267, + 740460372, + 757688892, + 482784982, + 913791137, + 363485331, + 345569238, + 950359899, + 93062422, + 629685502, + 847513776, + 925100076, + 718142463, + 986372300, + 919229573, + 404923887, + 471528720, + 704229689, + 745418910, + 283346025, + 626718914, + 702953297, + 676166469, + 453608470, + 730754799, + 902331172, + 329668504, + 553498284, + 90026620, + 946094141, + 924677701, + 115634849, + 243796448, + 478829336, + 552531469, + 777486156, + 602013014, + 199524112, + 579007450, + 48587912, + 8358767, + 681495410, + 796860332, + 114434910, + 648172113, + 738184908, + 317997965, + 23349328, + 42484611, + 644990308, + 814706888, + 820503307, + 718176532, + 233861260, + 58672922, + 98283572, + 295881315, + 843116494, + 243359375, + 911674214, + 316653367, + 563060777, + 560165272, + 231632551, + 967808205, + 273204379, + 704473631, + 627151166, + 652375849, + 268348197, + 673816725, + 325816970, + 180343180, + 966174754, + 585075566, + 446336585, + 547582773, + 224067922, + 204952166, + 338737959, + 591493604, + 896926445, + 125206887, + 753547725, + 296537993, + 269487239, + 210098904, + 415865744, + 566450721, + 326377800, + 434989884, + 29970038, + 177151577, + 537179916, + 837105710, + 676897480, + 765071744, + 337712511, + 730605054, + 678657310, + 162712899, + 73558948, + 630873262, + 941409157, + 904956337, + 340627376, + 335451498, + 584489298, + 252793995, + 811590417, + 162560194, + 937965402, + 463608421, + 351697922, + 299953999, + 77028390, + 699881357, + 739619696, + 523972260, + 732276412, + 74782845, + 877026950, + 155305330, + 491180858, + 471141939, + 509000990, + 159701444, + 444053003, + 60028990, + 815655870, + 948952958, + 97932922, + 302771436, + 488966978, + 39943696, + 696874510, + 239288884, + 846085380, + 285276767, + 246297884, + 965050473, + 269465290, + 501472407, + 94469383, + 965106662, + 974278269, + 687454157, + 740899227, + 760903207, + 534875943, + 920322773, + 726930556, + 905597667, + 134777919, + 423669592, + 362289628, + 718879036, + 684409563, + 226265314, + 143266892, + 121585634, + 473663893, + 505957348, + 617015910, + 545810339, + 42416038, + 841217058, + 254594564, + 699268568, + 543532012, + 776506428, + 210495869, + 879550592, + 457153931, + 605571461, + 185263474, + 478420582, + 440214267, + 764221488, + 998464340, + 999019585, + 348346806, + 819345373, + 770270118, + 328424697, + 475579213, + 780403117, + 102381261, + 882208094, + 89997765, + 807012804, + 458750682, + 64519435, + 728954279, + 203218941, + 769231203, + 500397655, + 517554281, + 577070807, + 402720915, + 714218465, + 966165376, + 974814347, + 320917521, + 862995438, + 938731897, + 286185221, + 534561390, + 603199838, + 279734903, + 258680720, + 372393945, + 701287795, + 288179654, + 74648268, + 117163070, + 952179512, + 346482194, + 259050326, + 790389825, + 578954253, + 661943953, + 71558136, + 706157438, + 695220544, + 22553693, + 952684967, + 86500704, + 215999817, + 65908789, + 303018315, + 398722670, + 397497342, + 805904607, + 684178989, + 432307133, + 272727537, + 925110602, + 70159148, + 205435585, + 21906141, + 871478165, + 530943217, + 600367208, + 883731665, + 278231993, + 434103141, + 845572613, + 331282809, + 890758999, + 483086733, + 414585638, + 556984683, + 438581130, + 398892726, + 705728767, + 277712531, + 595503689, + 32482125, + 82003183, + 279535338, + 405146322, + 905003159, + 487248654, + 296781320, + 226065754, + 22795241, + 31944465, + 228149790, + 894909981, + 124005246, + 514598000, + 216688263, + 207450543, + 723845751, + 790105238, + 271695677, + 72903010, + 591802009, + 166198351, + 966747001, + 921850414, + 847697476, + 639173146, + 672985428, + 654360672, + 38930364, + 615929832, + 983633030, + 8835968, + 770034920, + 334184725, + 163424463, + 373994706, + 761900776, + 306316197, + 433002814, + 242273226, + 311241275, + 778784712, + 987947715, + 638426621, + 626496423, + 395284020, + 533118818, + 423574416, + 733483485, + 730727351, + 591641676, + 702168136, + 530162517, + 226803345, + 849265858, + 348815240, + 973507787, + 717119120, + 931609226, + 748068158, + 443584370, + 504224731, + 283973261, + 29294275, + 955948979, + 11258704, + 564938254, + 339774751, + 744071891, + 907835982, + 92397457, + 524038045, + 382560811, + 172080338, + 129515527, + 928886176, + 327726128, + 517668380, + 41343112, + 945869231, + 458576682, + 193244051, + 475253942, + 320259643, + 136311721, + 776099463, + 456006334, + 245804384, + 675576800, + 359978700, + 357493669, + 913521369, + 901534771, + 593630558, + 744408305, + 170260732, + 144936252, + 506827243, + 427410807, + 986218071, + 172000910, + 709127117, + 619688646, + 889963575, + 18840956, + 543711174, + 808206974, + 857169470, + 50886794, + 87275099, + 650881351, + 460537741, + 879646050, + 810488007, + 671665385, + 707286958, + 64200578, + 655026126, + 553719640, + 91233365, + 323320711, + 856932891, + 746826921, + 19157953, + 95135123, + 104014495, + 702146261, + 472994556, + 578185033, + 898070864, + 699657337, + 850016666, + 724087635, + 72376413, + 421168232, + 631426931, + 296714136, + 297479180, + 957599232, + 497847475, + 355432644, + 877041442, + 805016511, + 673194497, + 31097010, + 237191936, + 958691346, + 184806223, + 707349700, + 24622857, + 891101226, + 850485744, + 563985859, + 185372338, + 348282877, + 382013156, + 529347546, + 768969458, + 903769492, + 596434605, + 609058558, + 709613104, + 757032974, + 875248778, + 536290552, + 571805823, + 774476841, + 333359946, + 189873424, + 533195333, + 531257363, + 33553140, + 96354606, + 997826886, + 443542786, + 580129941, + 501283751, + 849492301, + 29179980, + 360739097, + 184705719, + 550518477, + 174498708, + 370793071, + 435537138, + 183035156, + 546190171, + 727800269, + 323669353, + 81971452, + 715927126, + 635042852, + 379228559, + 162319545, + 913154790, + 736839744, + 690367065, + 284561553, + 408592547, + 386431306, + 502076370, + 776332442, + 935900269, + 432106808, + 717775049, + 716946335, + 664418038, + 711420724, + 195840896, + 11585560, + 404386916, + 513054013, + 868824830, + 920076748, + 175238985, + 833208655, + 531183662, + 698433053, + 937329688, + 433580610, + 895604239, + 261140546, + 516815089, + 569654986, + 512663801, + 581619329, + 431389095, + 872988301, + 971435274, + 862526288, + 226627610, + 319272207, + 205210774, + 622117200, + 923217463, + 150625902, + 647398667, + 472282282, + 419121646, + 294631655, + 576092446, + 586418990, + 242408655, + 258670650, + 831065741, + 232982921, + 463827966, + 536404483, + 957114841, + 943615484, + 345288404, + 261464510, + 530384155, + 101601990, + 836944071, + 79641783, + 704575063, + 821510669, + 915433760, + 864410950, + 927505142, + 206104110, + 222516796, + 687944239, + 931241837, + 9243085, + 281234265, + 600381204, + 16895487, + 693140415, + 642052399, + 64501088, + 972541029, + 518111532, + 266036664, + 846392743, + 993923893, + 716347145, + 141146981, + 946226726, + 477001904, + 793987103, + 140071203, + 33204314, + 585478901, + 363591863, + 998890976, + 497501213, + 557255484, + 970405444, + 28227915, + 655328291, + 885990146, + 170531223, + 605501230, + 334129286, + 295496697, + 181637058, + 939276393, + 543684612, + 360874346, + 647045756, + 433906655, + 759840919, + 380079816, + 324936924, + 867252024, + 699384748, + 984998296, + 28204191, + 29373904, + 153769521, + 957897651, + 274895551, + 76556346, + 51069235, + 968402492, + 450484417, + 962816948, + 935018419, + 770040062, + 590216630, + 560679166, + 734426274, + 346188120, + 612894029, + 666496828, + 824212602, + 387313157, + 134981767, + 572658141, + 770379071, + 430267150, + 650520413, + 349007077, + 523284190, + 35880412, + 500495379, + 524147664, + 48745947, + 15233558, + 19489814, + 668036224, + 216990515, + 636656515, + 227150935, + 833821348, + 873782787, + 454448846, + 155161264, + 139859645, + 612862153, + 873871450, + 752479549, + 542665885, + 594496792, + 643937142, + 986144816, + 957816041, + 883772613, + 477225144, + 558224944, + 510631804, + 557594918, + 943588438, + 763159942, + 634978373, + 883757948, + 638236268, + 940482311, + 616150143, + 244927255, + 456974788, + 714735556, + 892428236, + 732314555, + 886301374, + 453015702, + 988653086, + 914816734, + 10519312, + 795554260, + 146071247, + 364327336, + 698018543, + 938121404, + 872106307, + 183891481, + 160239925, + 380273607, + 970726066, + 671797814, + 792214836, + 79527292, + 158057141, + 378849799, + 830938767, + 453424408, + 946481827, + 208641561, + 29817330, + 404701453, + 20240999, + 240941391, + 205506889, + 820011060, + 13572413, + 476682267, + 232325224, + 245500566, + 984881183, + 629285054, + 76919553, + 976633877, + 803773721, + 699622345, + 930462214, + 222126497, + 473871246, + 538145309, + 461799840, + 708874837, + 924860910, + 387352601, + 755795283, + 921577676, + 685085156, + 890896196, + 790499022, + 477799837, + 52142507, + 914931803, + 263145336, + 827355181, + 440261269, + 239159666, + 589009658, + 975581463, + 575399382, + 423694655, + 300925534, + 693845629, + 505751867, + 588254858, + 706460411, + 956683067, + 962324950, + 19204232, + 170036417, + 214514882, + 541201696, + 498136510, + 374826368, + 608268625, + 885967937, + 720542104, + 104227274, + 827998256, + 84554812, + 72458141, + 791249573, + 425097027, + 807003161, + 982002914, + 994732675, + 468127261, + 671358602, + 782369960, + 317799042, + 145384939, + 242133778, + 778355345, + 477138187, + 656981445, + 942544258, + 981265209, + 320189147, + 67853561, + 951889867, + 228964884, + 814019672, + 705739715, + 585127128, + 225467595, + 769830596, + 608704377, + 907681319, + 315170825, + 849866770, + 493344217, + 958059185, + 45919048, + 381264700, + 55646738, + 870686738, + 282420712, + 495126066, + 372819491, + 547544083, + 138644298, + 264562177, + 813878855, + 406658793, + 810944312, + 97367274, + 483631052, + 296983907, + 800789954, + 191192528, + 796689767, + 39147558, + 97681407, + 118982634, + 715402925, + 669600832, + 156384380, + 287790075, + 773714053, + 216878800, + 229688724, + 91730127, + 149996630, + 691284980, + 400108935, + 367324551, + 96640800, + 504237405, + 217678714, + 74055471, + 66491526, + 707653825, + 542853192, + 428127996, + 216704955, + 543728001, + 354600118, + 188393247, + 64068703, + 899323411, + 429272645, + 886283685, + 728239886, + 823235610, + 290963866, + 771048478, + 84556843, + 364594694, + 404242004, + 667466130, + 573765757, + 12372859, + 446331684, + 529432113, + 265792451, + 500603186, + 875066766, + 176489562, + 513698152, + 95174117, + 802303091, + 63690658, + 684579233, + 184036102, + 244479655, + 769051503, + 351910673, + 167611055, + 595634616, + 108646009, + 410616622, + 731904193, + 543672294, + 793146628, + 971218977, + 435061682, + 330468673, + 567101916, + 339681007, + 417309905, + 106522137, + 662457098, + 380584950, + 841259532, + 417296723, + 414640133, + 86146840, + 691431511, + 24958705, + 151409647, + 544984737, + 745016960, + 297916835, + 884833141, + 632257310, + 837155737, + 285790629, + 719791707, + 172960546, + 318403324, + 627769689, + 715669799, + 958640570, + 610713626, + 826450499, + 809778506, + 965677433, + 598622562, + 343244646, + 844195297, + 18036010, + 668029946, + 836398434, + 145925486, + 854004060, + 70763827, + 34861353, + 143402246, + 144524644, + 989783120, + 769336667, + 851201145, + 372687590, + 78477705, + 526419789, + 969126988, + 357895011, + 59387627, + 388917625, + 864175196, + 651520698, + 876988379, + 968384986, + 261834486, + 874835013, + 74602801, + 379609499, + 543906942, + 61554716, + 186356578, + 629970048, + 846910324, + 329468652, + 50503345, + 326231778, + 543850408, + 124553398, + 38851850, + 803625465, + 215582731, + 624638484, + 696489744, + 828639507, + 84616754, + 302638473, + 422705117, + 916694750, + 305055940, + 218648246, + 992283505, + 552722442, + 33930849, + 70107543, + 240240361, + 412295933, + 336015128, + 618647554, + 837385498, + 861134480, + 969488578, + 406710011, + 268577735, + 846138148, + 949450669, + 859825702, + 33858967, + 931848339, + 900810978, + 477557084, + 265467053, + 82661930, + 962523347, + 143421667, + 950951991, + 192221293, + 971110430, + 859367614, + 435098013, + 519617528, + 476027942, + 112468806, + 424056327, + 42097006, + 786810272, + 792876291, + 826034255, + 291637928, + 38295626, + 926469602, + 135976947, + 45565748, + 861469891, + 828314052, + 393669869, + 170864220, + 112908162, + 256658066, + 63758852, + 797088366, + 166129785, + 776785360, + 211080611, + 441271392, + 259311545, + 135637411, + 528759008, + 402891449, + 879143227, + 606879316, + 661886261, + 190417934, + 741968692, + 151131335, + 656281264, + 944011088, + 301258972, + 162526355, + 224577933, + 233121901, + 513644260, + 186916431, + 826138007, + 799999207, + 758904719, + 974840222, + 356750522, + 741213101, + 28197275, + 295032380, + 704341215, + 47263181, + 609800198, + 698950786, + 317795865, + 550177711, + 351931304, + 94470693, + 895827688, + 209057933, + 835870878, + 769973034, + 968895808, + 966798841, + 422840629, + 406988244, + 979618393, + 180104053, + 91242857, + 779830079, + 951849963, + 397869634, + 845328085, + 79297522, + 532545797, + 246709541, + 363080326, + 67254292, + 77083263, + 487909674, + 919920000, + 207277677, + 124092212, + 372687464, + 913149281, + 620545734, + 738527769, + 195124821, + 445517334, + 56466180, + 476391591, + 515823874, + 782140203, + 632954178, + 675954149, + 24850130, + 240602312, + 250631988, + 654881467, + 877791219, + 851193367, + 477820710, + 660753598, + 158719491, + 750489604, + 680454504, + 195149741, + 543409457, + 825095896, + 446263310, + 96229602, + 245104600, + 724872414, + 314060623, + 897589964, + 881596546, + 250350783, + 396926474, + 705314383, + 330558523, + 980062111, + 796149493, + 674811586, + 791891020, + 121387826, + 692350987, + 462307449, + 943848788, + 737692950, + 123161210, + 551508752, + 656398699, + 901705389, + 443181639, + 754693639, + 604277805, + 306125925, + 756960630, + 813606399, + 230666577, + 100981563, + 351083580, + 129208490, + 501072656, + 74316675, + 85472309, + 318432614, + 189032535, + 656028550, + 184111103, + 254939971, + 889999737, + 855183396, + 93388353, + 113155590, + 297056668, + 732128387, + 444800251, + 215299851, + 505709642, + 737512155, + 543542831, + 236225077, + 436272057, + 32929106, + 371616796, + 938394400, + 950717276, + 623385347, + 357129800, + 906249759, + 616113587, + 227465443, + 383349018, + 898784165, + 701377559, + 340684249, + 106114586, + 730912767, + 827326728, + 871998015, + 843269938, + 841751999, + 463662346, + 843803120, + 888385884, + 438315550, + 516443924, + 376845132, + 154291675, + 543792931, + 327504933, + 479954589, + 600075003, + 21651795, + 159596432, + 333872405, + 596598213, + 812608731, + 444225341, + 801041848, + 343629743, + 13896159, + 876266495, + 70004632, + 12571559, + 229135159, + 643856259, + 346634405, + 391802517, + 942118661, + 276158429, + 520247069, + 358694284, + 457303457, + 425018064, + 556832282, + 833308084, + 775575864, + 514707862, + 466315055, + 209007311, + 330598670, + 354367393, + 809394048, + 736275145, + 219521949, + 990584169, + 99278815, + 774556327, + 134408240, + 230284410, + 390862998, + 751124590, + 899405624, + 272934271, + 574844632, + 678640376, + 362199681, + 921892032, + 750244632, + 583756931, + 571497070, + 443326612, + 389084281, + 527775626, + 43912368, + 306501497, + 591009230, + 569758158, + 980328582, + 126692175, + 43071447, + 87013294, + 602335496, + 346576933, + 74807718, + 627414249, + 9978230, + 287416714, + 948445893, + 242171497, + 721724914, + 911932075, + 284112217, + 850601881, + 313735895, + 358112566, + 194971182, + 117153032, + 605233136, + 937046399, + 749530021, + 878891557, + 551703667, + 617422420, + 980979054, + 452827952, + 391411758, + 899921381, + 504975528, + 799522321, + 884156255, + 60618558, + 816653900, + 368569935, + 350184073, + 889851978, + 790920355, + 205692030, + 712789485, + 590358025, + 108793766, + 61060083, + 174825221, + 764475126, + 468864015, + 157674953, + 999681726, + 697921083, + 834878552, + 970171640, + 204277399, + 92311844, + 968513919, + 909752366, + 676618781, + 477056366, + 590899132, + 46491492, + 482236456, + 163873115, + 713624163, + 697250127, + 336036136, + 161659227, + 625538375, + 161861964, + 539792550, + 308481311, + 771785108, + 181461731, + 761112947, + 636869415, + 462699868, + 204277542, + 356281836, + 12285448, + 147677896, + 441078147, + 187060773, + 113907391, + 267117339, + 337126916, + 224005462, + 666604566, + 306036264, + 887672464, + 627236084, + 850252019, + 156045892, + 925442707, + 508670816, + 696350876, + 557394507, + 331063236, + 640002895, + 35407870, + 234641076, + 151790369, + 607943472, + 292655944, + 289601652, + 72730343, + 418167231, + 924729281, + 287209651, + 380899109, + 671595932, + 553701793, + 141302697, + 314902010, + 831951339, + 832439276, + 339974816, + 275660018, + 614385315, + 544359201, + 448107167, + 486880255, + 859366778, + 5465148, + 370813241, + 87633658, + 409000395, + 690884025, + 136116370, + 546268230, + 96022786, + 795950870, + 778050868, + 54889553, + 913805309, + 992338269, + 267730003, + 251714190, + 372078835, + 760298368, + 909611236, + 953522692, + 813802805, + 973118189, + 615951557, + 485192314, + 239609232, + 578058948, + 982557728, + 434841529, + 870854141, + 269926672, + 211103787, + 559590877, + 132632102, + 733784718, + 22405694, + 63787653, + 535200627, + 202750729, + 651955880, + 417649088, + 233855484, + 867104841, + 358253286, + 436799116, + 800008590, + 110155457, + 240458095, + 334625669, + 679318025, + 709930986, + 619346389, + 669840902, + 973904384, + 779738945, + 759561330, + 424780055, + 967467612, + 560268945, + 949477666, + 338572125, + 859656993, + 685343587, + 937227731, + 705140853, + 48344109, + 18951735, + 556771290, + 260027411, + 722026190, + 933987230, + 799512919, + 120297053, + 812503725, + 38224828, + 89816636, + 513285347, + 53423485, + 170977100, + 872130779, + 785727821, + 744249599, + 806779766, + 7668171, + 270649102, + 21750586, + 504846251, + 358627443, + 411029566, + 349082514, + 241652977, + 450269385, + 461591700, + 931882124, + 23265187, + 692078122, + 802953520, + 290184719, + 508902087, + 658880174, + 148803298, + 947245377, + 203297454, + 160961216, + 208404700, + 201246478, + 641906347, + 29764624, + 671179072, + 269891554, + 684419768, + 483838031, + 22539352, + 668620852, + 86558175, + 347902793, + 891482597, + 246995302, + 611116868, + 904824780, + 107083874, + 582098679, + 733503064, + 580846735, + 891352095, + 430468568, + 768002790, + 324650218, + 607307530, + 393421892, + 784929440, + 223550593, + 503070351, + 558872695, + 955994170, + 954905525, + 613151598, + 192688303, + 510635010, + 923542833, + 512252745, + 997890823, + 522204813, + 997399672, + 816585452, + 794941905, + 603995751, + 927938364, + 444395994, + 884967614, + 602822812, + 29059190, + 762821261, + 988786263, + 9099927, + 715979502, + 34374309, + 481536701, + 940979333, + 747258875, + 5673684, + 646752137, + 962112032, + 10136576, + 576983697, + 376369791, + 430300296, + 349945589, + 473702758, + 240642140, + 647939317, + 527903497, + 742740935, + 348430629, + 297540506, + 743219192, + 36294792, + 879362823, + 395366220, + 119809385, + 909921622, + 187472659, + 118805683, + 266118030, + 702795323, + 131712592, + 841972304, + 152492742, + 935494351, + 808917460, + 412002585, + 59210531, + 87775266, + 906877557, + 916289822, + 122119195, + 405081817, + 16574665, + 207672203, + 637238136, + 478801407, + 820982703, + 448900929, + 605882035, + 464649343, + 97647335, + 317829887, + 647171225, + 710270612, + 632781032, + 110461794, + 613525651, + 74449948, + 403440931, + 387585029, + 561604231, + 622050143, + 840804994, + 96296864, + 246391522, + 699538215, + 627150052, + 779901295, + 209279994, + 440130458, + 312788613, + 510369858, + 297086189, + 390739295, + 884708305, + 229858971, + 578272510, + 915835891, + 484256672, + 955298663, + 333008241, + 411630624, + 508077021, + 663885661, + 469600236, + 376980240, + 200673522, + 574419448, + 292668495, + 358192098, + 944146252, + 891325880, + 695543809, + 211331729, + 163504525, + 587295260, + 97648747, + 276421622, + 941863258, + 151673871, + 578382767, + 246576195, + 598063131, + 746880727, + 843117422, + 486710546, + 185463097, + 286520803, + 140748354, + 296090531, + 581473274, + 32032301, + 963900725, + 666739002, + 162152382, + 115292942, + 47792170, + 175716485, + 578283676, + 766277538, + 480872606, + 278113172, + 819305991, + 842885678, + 346160156, + 661157710, + 444157048, + 29181397, + 516238414, + 142926449, + 715409874, + 806094053, + 143612014, + 694417955, + 788174086, + 880736416, + 143857191, + 415549819, + 92387957, + 120416653, + 43174815, + 449401706, + 127811276, + 408075702, + 977533795, + 580986024, + 696636278, + 323670792, + 566352355, + 311507901, + 240754479, + 513012377, + 184827528, + 398532777, + 894617761, + 90082434, + 699137063, + 130822160, + 366426365, + 119811345, + 529859520, + 226894169, + 889460584, + 166873267, + 16333668, + 22612992, + 95322665, + 633358374, + 302690951, + 715934458, + 123651182, + 466082148, + 657903002, + 595802193, + 5799723, + 395789706, + 883902071, + 642114024, + 428308441, + 979701351, + 777720115, + 876709179, + 332538889, + 232925409, + 544161267, + 335583320, + 598889867, + 896556408, + 753727113, + 586628175, + 988287113, + 721151323, + 902306399, + 460346444, + 146973138, + 160605781, + 257603123, + 39790478, + 765899337, + 169386609, + 982556892, + 209540248, + 578699075, + 745551659, + 378793816, + 108142294, + 1799315, + 805647775, + 833917799, + 312720743, + 685791641, + 452681219, + 914293464, + 15240643, + 523776806, + 726085577, + 987473956, + 971254459, + 283831715, + 638431362, + 225634583, + 777112030, + 586443550, + 316908482, + 35971162, + 249314171, + 742617540, + 493427233, + 996142536, + 41528691, + 12171165, + 382006435, + 813615288, + 942850098, + 735863001, + 717711678, + 219776004, + 335776818, + 535388077, + 274196478, + 706710747, + 380813783, + 400863923, + 251875489, + 96961365, + 144273571, + 755103290, + 621983174, + 535303188, + 386033466, + 600650184, + 73296030, + 962882627, + 404324016, + 241293051, + 147525610, + 255437320, + 765439751, + 54051675, + 282136741, + 561381177, + 952700846, + 426402967, + 179311373, + 774263254, + 361984363, + 547994636, + 138393261, + 331543729, + 332770812, + 707555296, + 987220383, + 345930078, + 359021247, + 311971885, + 905755812, + 489866397, + 428933345, + 170994206, + 386391723, + 145103068, + 85662060, + 667516336, + 197283554, + 470113870, + 797482288, + 330714922, + 303272531, + 131805153, + 582690722, + 292265383, + 103200303, + 567875857, + 905241537, + 636193136, + 609807477, + 114093752, + 172287790, + 933713386, + 172175836, + 557087258, + 709231264, + 946313347, + 170056426, + 713803018, + 10641456, + 719064472, + 653919069, + 104000967, + 158802678, + 986867814, + 502986035, + 8056914, + 994499126, + 785354446, + 252442040, + 969753736, + 486338665, + 21362896, + 321999925, + 618323000, + 223022683, + 389125175, + 643570581, + 679765310, + 873250597, + 20472660, + 271068353, + 417111976, + 635861730, + 960302840, + 320422954, + 955543385, + 613237997, + 314479779, + 702301691, + 789819905, + 563242998, + 727709933, + 104970003, + 352210988, + 389340740, + 689229277, + 505317493, + 914590859, + 97261561, + 156429978, + 329256582, + 986320092, + 955343167, + 608418357, + 211358446, + 390046792, + 995166773, + 727507, + 772905268, + 317553089, + 131393370, + 924021144, + 543361104, + 692701319, + 889461118, + 60087007, + 794936747, + 245274985, + 117554833, + 974712488, + 306110196, + 250651028, + 462659695, + 691227912, + 700557242, + 543191576, + 808307571, + 298502357, + 877877241, + 598887971, + 475345532, + 428858717, + 623613046, + 853142602, + 5940176, + 823049685, + 406930559, + 39729568, + 817569660, + 696402804, + 491990040, + 124353060, + 130967204, + 938743547, + 69706916, + 35663534, + 570483983, + 248998169, + 143209424, + 793674611, + 48378595, + 416039885, + 514212401, + 140645815, + 38310434, + 718830216, + 566671271, + 671308358, + 40742041, + 878579039, + 221255041, + 896595133, + 658870554, + 751443022, + 648238062, + 700122099, + 362811096, + 841846185, + 769707091, + 889526992, + 735930794, + 273344514, + 486397214, + 108150417, + 213170575, + 803989989, + 975422103, + 461003364, + 673731947, + 982852612, + 989183174, + 945744090, + 931291636, + 54927288, + 446520509, + 208576632, + 667880767, + 234614270, + 825609432, + 819343549, + 433181697, + 304018187, + 812894315, + 16419547, + 821836858, + 210746602, + 62786045, + 77460897, + 467742801, + 40918231, + 837459602, + 908678895, + 896171482, + 614977721, + 329667359, + 840929756, + 599411284, + 63521810, + 261988607, + 740109007, + 283732559, + 561984544, + 773027594, + 815563296, + 501926230, + 797644293, + 705873791, + 165169491, + 66353534, + 809018851, + 673131136, + 391860501, + 359634532, + 421925888, + 749135510, + 566972576, + 210135147, + 65050849, + 772896666, + 825212811, + 601483129, + 452806235, + 105738409, + 295455317, + 677189026, + 380662220, + 769112673, + 34444817, + 190653494, + 820714897, + 425807465, + 756009917, + 224548719, + 442160213, + 455281408, + 667987684, + 394740208, + 575666021, + 799631588, + 203320519, + 193622798, + 853746866, + 667901992, + 596872864, + 621067049, + 629124989, + 893419701, + 821047595, + 990571468, + 306225910, + 716741857, + 222173136, + 755581271, + 128678196, + 586552101, + 234314461, + 796204519, + 790789301, + 500189527, + 819200240, + 236524150, + 416980345, + 552695720, + 867632708, + 57153096, + 818045233, + 450722181, + 306573263, + 444415550, + 395552971, + 601982849, + 800849517, + 520857953, + 457813291, + 248176424, + 354445568, + 529515278, + 123791706, + 984965617, + 385588410, + 283811546, + 719693960, + 988997421, + 859294728, + 9141725, + 803468339, + 279879917, + 543445385, + 587640023, + 302571940, + 366879167, + 501608887, + 468240942, + 996247885, + 58932320, + 18275384, + 231121155, + 708630370, + 578367479, + 927676837, + 747379621, + 646297107, + 690093097, + 989451226, + 404928327, + 714181980, + 279694755, + 820097880, + 433444076, + 139771498, + 582678772, + 538714249, + 775123331, + 831829355, + 507222582, + 107163489, + 994438286, + 898672757, + 919744423, + 637808815, + 704595917, + 702224731, + 455455906, + 698796936, + 285339550, + 872182579, + 562716676, + 201234731, + 862375074, + 541435378, + 238366036, + 746236984, + 784249985, + 133420147, + 239976697, + 624929763, + 798106185, + 199524593, + 138882332, + 750652375, + 928821489, + 289671838, + 406888460, + 626180032, + 456528523, + 616472734, + 817440624, + 44941298, + 536509370, + 68007678, + 440206578, + 145109004, + 947340191, + 860939768, + 549028357, + 631910835, + 193738558, + 172320586, + 20242775, + 985414839, + 186330740, + 670301703, + 49515218, + 271590540, + 887515888, + 511508667, + 999924627, + 928691585, + 198025574, + 278455234, + 575496364, + 839949669, + 847315041, + 291280566, + 563862026, + 163310631, + 157347865, + 330392463, + 453667138, + 790734550, + 24860928, + 262861120, + 696814680, + 305792398, + 178803813, + 131057582, + 579216520, + 320678795, + 90093940, + 815997813, + 67829503, + 863933969, + 751119236, + 87506135, + 792477305, + 103356236, + 454766194, + 872003249, + 936036183, + 47715692, + 421770460, + 290278314, + 798802021, + 699280073, + 325064405, + 787414279, + 943909903, + 900421774, + 479452237, + 221903334, + 280934808, + 2736175, + 342472468, + 687536791, + 529260484, + 174376041, + 741418220, + 263755756, + 626301334, + 317760797, + 260758519, + 713423500, + 415308849, + 561195454, + 217963749, + 499109725, + 955662922, + 429191987, + 71531800, + 501799089, + 188865312, + 718305927, + 416529161, + 728632616, + 462779994, + 580205595, + 889915334, + 361097692, + 391732092, + 462879482, + 11364672, + 575670546, + 99617937, + 935126145, + 419265807, + 841678250, + 742645081, + 72143468, + 243304447, + 878295163, + 377553258, + 89568242, + 239166601, + 983951484, + 231851425, + 444598786, + 583752810, + 175799177, + 645828225, + 658034160, + 114492453, + 323378716, + 395362181, + 685635342, + 62242603, + 445512116, + 179031261, + 47354534, + 258468962, + 75834826, + 464096676, + 60569516, + 1148157, + 410765643, + 259353187, + 529430046, + 451655396, + 808653204, + 917216242, + 683007357, + 83778593, + 10510338, + 749528061, + 347168377, + 956892923, + 694940513, + 383375539, + 928286032, + 114063832, + 865061420, + 203654685, + 557863440, + 798918046, + 765009768, + 787347140, + 545208566, + 680970669, + 25503588, + 356426285, + 927261766, + 732017521, + 892266263, + 488194652, + 566953646, + 839051699, + 670576110, + 213878972, + 980796052, + 280444148, + 315564087, + 195528852, + 102148936, + 839991225, + 151916071, + 954368873, + 120979623, + 665793011, + 64461344, + 495475814, + 963340978, + 380042803, + 764784660, + 436133482, + 831515997, + 796739668, + 204735844, + 173566806, + 439421739, + 782421097, + 551660635, + 402612653, + 68476461, + 885811354, + 721572294, + 197535973, + 184562215, + 192924504, + 769761267, + 958412091, + 419701188, + 361859137, + 876181907, + 552603913, + 286715402, + 318579774, + 357111442, + 940767138, + 617494323, + 708712391, + 129628486, + 212770791, + 811488605, + 174877559, + 399316331, + 564281582, + 909138907, + 508364778, + 891567784, + 30000961, + 497316489, + 856141933, + 537564185, + 43314122, + 283648923, + 444005104, + 894947996, + 276975825, + 193211468, + 580842508, + 852394302, + 768080764, + 210037348, + 549881157, + 55948298, + 217070899, + 166819403, + 290380122, + 908578792, + 294146588, + 108257057, + 138657736, + 570163454, + 833899572, + 592698651, + 490708240, + 744928205, + 464827271, + 218198747, + 383797216, + 673700066, + 102349891, + 510260196, + 850688535, + 529607188, + 689292466, + 636410462, + 484969774, + 883262169, + 208321824, + 250463828, + 31754939, + 942951640, + 610437894, + 732582410, + 772822246, + 123112012, + 664706812, + 82702259, + 146700234, + 328387320, + 355522575, + 865808334, + 344293037, + 381048705, + 492268882, + 193422256, + 140058299, + 908733860, + 960953598, + 726363950, + 394154879, + 985720116, + 443530815, + 260505478, + 382900745, + 703630264, + 983890944, + 378831388, + 847165580, + 808103374, + 924421768, + 304302718, + 425533912, + 935592011, + 402664723, + 967453713, + 335913276, + 727657788, + 447573773, + 827399158, + 227658645, + 857199118, + 433737299, + 426205454, + 14961062, + 330727284, + 632180593, + 389169865, + 301534664, + 144669735, + 195818667, + 589641655, + 605429417, + 849624055, + 962063010, + 705612189, + 369680507, + 491760566, + 130151390, + 371799820, + 7649828, + 926066955, + 298864892, + 459686713, + 75951519, + 141838199, + 2022073, + 360672400, + 995271440, + 681950314, + 213838349, + 343135082, + 421279119, + 151527135, + 914982551, + 704371665, + 981141003, + 836481399, + 383219543, + 964806747, + 834862181, + 636100822, + 373832751, + 929524975, + 707820065, + 826891122, + 998710104, + 600751741, + 43702923, + 611758807, + 540734737, + 32752670, + 944724561, + 720739690, + 879135789, + 295470074, + 589144283, + 719229156, + 30548842, + 498604947, + 563135053, + 604009750, + 898737668, + 966546640, + 639590869, + 672183606, + 280548435, + 13116591, + 187443183, + 807474103, + 169415203, + 193152060, + 959693494, + 158277431, + 828566722, + 41702011, + 574313919, + 219111828, + 112227251, + 892461874, + 483473527, + 264471151, + 183102642, + 618965012, + 533985337, + 143569397, + 955502465, + 53292424, + 653969017, + 153790661, + 877190932, + 345791657, + 902137131, + 135679105, + 738745208, + 236266754, + 604272926, + 972420370, + 160523008, + 262031829, + 953343331, + 197973309, + 65234771, + 211834110, + 820242087, + 654435690, + 117876544, + 506401914, + 750150116, + 338898516, + 621950475, + 16181949, + 798702387, + 106709232, + 13826661, + 876658973, + 104000590, + 202808154, + 690299095, + 595729816, + 643301397, + 323877730, + 297777216, + 13989614, + 922377895, + 350753160, + 694509508, + 277991035, + 720459748, + 683041462, + 413539143, + 360359316, + 813834407, + 779101948, + 401160568, + 685066243, + 376869643, + 357491228, + 158851430, + 644682358, + 100373933, + 859603509, + 500747334, + 888082707, + 282754342, + 457757341, + 532652380, + 2948609, + 16254612, + 342719626, + 420249853, + 211636898, + 330220770, + 36017210, + 2339268, + 728825485, + 112276790, + 408147851, + 211773355, + 426309864, + 66082527, + 921836670, + 931349837, + 775731733, + 43722937, + 657197034, + 293178567, + 677072967, + 552429256, + 640143864, + 808474358, + 685854045, + 423951761, + 714533840, + 213164972, + 592565922, + 642101617, + 350689379, + 34913472, + 239291636, + 473733831, + 927055318, + 117297053, + 144804740, + 587701686, + 356162278, + 649139353, + 701320825, + 811986856, + 824902778, + 426697658, + 443853039, + 659536867, + 613765802, + 136110943, + 206939411, + 854362971, + 838228240, + 584048129, + 419497266, + 159166509, + 987001882, + 142020333, + 998980575, + 939656032, + 56190079, + 837614335, + 90471104, + 853695092, + 124686073, + 810635338, + 777250927, + 613764389, + 418207056, + 827824649, + 577049578, + 54607483, + 459155841, + 317477662, + 559419056, + 773195697, + 97938056, + 581863346, + 46297487, + 113584296, + 898438388, + 618322733, + 203423728, + 559022547, + 938766389, + 119809374, + 276902935, + 319493308, + 156551190, + 901631681, + 312317724, + 130907035, + 108056408, + 736234348, + 585324415, + 197181451, + 478687086, + 606661636, + 380050833, + 6459561, + 394848214, + 12464262, + 621070195, + 793327019, + 252027645, + 231793375, + 354018755, + 5219119, + 219707631, + 262859774, + 282768978, + 462561195, + 365499126, + 773863438, + 583983783, + 98151134, + 28633751, + 272515221, + 614070035, + 586763884, + 723738649, + 283243923, + 920976043, + 316664167, + 887831195, + 440843759, + 243689065, + 63472663, + 741815318, + 992463042, + 775464448, + 947777879, + 527274021, + 946072478, + 100457046, + 169509822, + 13467830, + 584068663, + 392235932, + 239454510, + 403679684, + 435641965, + 461584752, + 909469567, + 775582869, + 196885681, + 629866707, + 388550171, + 172670362, + 318140544, + 380268617, + 782499826, + 696466947, + 816213879, + 902896323, + 20079659, + 29342698, + 613436978, + 20693325, + 250735405, + 310745242, + 3353893, + 694337601, + 717407246, + 880944813, + 599799369, + 669383452, + 304066699, + 604577967, + 326740607, + 404944348, + 697721834, + 440808658, + 581584746, + 397365361, + 47579241, + 309414350, + 833812143, + 302636640, + 172390188, + 872112511, + 575914710, + 831162131, + 698051312, + 22949753, + 785587486, + 31643859, + 616660562, + 582810953, + 71821263, + 581620677, + 270273767, + 852455731, + 49273196, + 724038376, + 546665635, + 847356882, + 854426633, + 624709050, + 227519058, + 606704103, + 403561023, + 636719235, + 397884546, + 130117130, + 754396729, + 899834678, + 298242858, + 362705477, + 51144826, + 735112731, + 477609910, + 907479131, + 22467798, + 250814610, + 836553146, + 105528222, + 129350994, + 245670049, + 938445283, + 896188584, + 684758741, + 170672606, + 590654267, + 852909970, + 346782112, + 697669411, + 695451293, + 212187734, + 687975078, + 277418562, + 460452066, + 478244391, + 883377172, + 735570549, + 609327750, + 721911133, + 991518215, + 390836158, + 96713729, + 207163383, + 356941033, + 901919528, + 994154952, + 340860253, + 780269912, + 604155342, + 997899915, + 806661683, + 247368833, + 246795439, + 784924589, + 879727963, + 565763387, + 448005580, + 608691458, + 658653970, + 297312642, + 561583232, + 505625346, + 484440771, + 719883044, + 29634863, + 707412625, + 281275386, + 888872051, + 624549590, + 351800435, + 183259790, + 688889972, + 466942713, + 384460091, + 452390939, + 227110060, + 689623803, + 473900608, + 250131661, + 521918815, + 616319148, + 249419342, + 356534311, + 564640176, + 676779585, + 704963942, + 418231242, + 549553595, + 299006552, + 923863198, + 193852416, + 686250583, + 221535266, + 268430507, + 357301115, + 665362416, + 146473269, + 759852153, + 172162872, + 736018386, + 838449085, + 66004204, + 891192167, + 786307698, + 769648622, + 999588054, + 412821103, + 968362234, + 98515912, + 191726332, + 223329202, + 389410572, + 192966055, + 205597169, + 527358375, + 8262336, + 669884635, + 143098815, + 832234999, + 1483786, + 777225002, + 74277934, + 1558641, + 790373364, + 271940266, + 781824791, + 460438690, + 504001533, + 910759765, + 910660415, + 661940815, + 747366719, + 892351003, + 150901558, + 149270089, + 490770176, + 122933572, + 372867313, + 628761306, + 207037212, + 3822517, + 893890365, + 334482285, + 443779427, + 683644816, + 548362365, + 222587541, + 848754849, + 227912924, + 916709666, + 407619599, + 99515491, + 990190472, + 646046786, + 640471507, + 273327980, + 313578681, + 117056870, + 582819445, + 904218356, + 225798770, + 788351660, + 622056127, + 639558709, + 13539901, + 844858969, + 357533386, + 292020044, + 493980712, + 788755128, + 197794208, + 527738252, + 380522422, + 224969111, + 302977041, + 977977822, + 332180242, + 934432170, + 167827132, + 500492891, + 249366552, + 96410552, + 746587089, + 922414610, + 911235137, + 448278667, + 784348332, + 57416331, + 593225491, + 856399779, + 842528640, + 156186871, + 620749373, + 78785451, + 774461370, + 835217147, + 421929220, + 853129529, + 319045001, + 874370765, + 344391903, + 754294934, + 201782612, + 711098510, + 392989540, + 788634882, + 707891680, + 269800052, + 326586889, + 882435831, + 242132414, + 782071493, + 157141033, + 85776491, + 417833560, + 622130429, + 66317624, + 750682056, + 854176874, + 746567924, + 696792547, + 622793065, + 227247326, + 459887907, + 936852761, + 527729311, + 368401290, + 449300595, + 203917648, + 888173730, + 555666812, + 905370142, + 587405853, + 380815101, + 53750786, + 354060332, + 487885518, + 502120738, + 107318466, + 966452551, + 899120774, + 301147836, + 158627599, + 746668193, + 449161010, + 479922398, + 26275448, + 883714027, + 188311446, + 718268148, + 693427355, + 632497217, + 380360804, + 209656722, + 610878926, + 869291919, + 136667829, + 944516826, + 548406991, + 866707717, + 687291201, + 453965074, + 730477913, + 45752540, + 70875801, + 123969685, + 529674065, + 585797004, + 567750099, + 680991802, + 846544733, + 596044458, + 825970617, + 267836369, + 393413684, + 593324893, + 468606398, + 91117135, + 972097509, + 142542523, + 103045253, + 547657907, + 790643050, + 545913651, + 30133631, + 232411941, + 513916303, + 45300323, + 519493285, + 32579373, + 237394487, + 655995674, + 331505993, + 77683927, + 542430814, + 688616639, + 936806911, + 866477245, + 251284127, + 907902991, + 689741382, + 839654389, + 537678996, + 972862283, + 796085401, + 809960278, + 417979261, + 529429803, + 383877936, + 450792801, + 282781426, + 436432544, + 303352449, + 623330065, + 299438017, + 609738655, + 808528303, + 623407049, + 577826572, + 11327463, + 458159990, + 414771553, + 525483863, + 617747750, + 201491013, + 169519321, + 248537923, + 947381861, + 652402786, + 67911911, + 351620329, + 667810578, + 10473782, + 197214014, + 106177589, + 117048964, + 586628712, + 121257459, + 182426924, + 249930667, + 21002122, + 364082117, + 108199469, + 544209976, + 174292284, + 773121479, + 42352401, + 697424933, + 279410098, + 166232318, + 656552762, + 142353021, + 189898692, + 949611774, + 306848993, + 664630216, + 168506352, + 897855258, + 833590386, + 87559798, + 521149754, + 852612556, + 909296165, + 657375660, + 495186784, + 254689948, + 644209034, + 763387436, + 355181267, + 19320616, + 979422779, + 300292233, + 344068642, + 980375218, + 105525376, + 88253358, + 939778701, + 838942120, + 610612867, + 994816045, + 105514711, + 394207258, + 326991288, + 335869922, + 85998738, + 595242027, + 303023149, + 634528197, + 89394285, + 779515048, + 208949946, + 267055870, + 938697586, + 854614051, + 185245003, + 699594787, + 598775692, + 658825337, + 679386898, + 351877405, + 731354577, + 146834343, + 99128962, + 747507300, + 318548288, + 70151273, + 913204432, + 47405517, + 505080720, + 850017889, + 681182903, + 218124883, + 42198316, + 725729666, + 221391719, + 909433719, + 514442062, + 705164428, + 424204630, + 719454258, + 216298730, + 927457804, + 376009698, + 364690013, + 794126718, + 803333581, + 212028580, + 831608656, + 553407929, + 925766485, + 100257577, + 472292202, + 245251761, + 131666035, + 603218638, + 148273479, + 12971044, + 92621709, + 354362202, + 32081930, + 62704975, + 347653043, + 317177199, + 513447489, + 886430424, + 77043977, + 119526735, + 770366026, + 346296225, + 290572064, + 938141588, + 345477243, + 45847431, + 523057056, + 17476776, + 791543877, + 344922729, + 634486369, + 304090301, + 531291351, + 988985927, + 782371749, + 575011352, + 538911930, + 799699871, + 585997607, + 206240830, + 533809113, + 360676008, + 206118078, + 560300272, + 79479823, + 611675573, + 270958999, + 523627039, + 194816654, + 916732536, + 680149003, + 473984670, + 400921278, + 939229953, + 895007407, + 935686466, + 187452479, + 850869117, + 335870360, + 291764299, + 117118395, + 478835661, + 200575876, + 200861258, + 286759594, + 610723415, + 283682825, + 410195261, + 511572762, + 693844702, + 274037870, + 215279426, + 622633969, + 939746069, + 993145192, + 895586520, + 525124491, + 985982765, + 469141388, + 389532774, + 236671135, + 818686599, + 85547650, + 25068300, + 685334392, + 133989866, + 802813270, + 144153439, + 877668158, + 693764835, + 315430606, + 482374564, + 751180018, + 533972397, + 636480274, + 859495173, + 851384603, + 671688909, + 257677172, + 748744846, + 589301644, + 573849378, + 262631040, + 593637835, + 944376894, + 368842327, + 682616025, + 393233711, + 111713127, + 254886180, + 499556320, + 827927588, + 731808489, + 242897958, + 744384361, + 113335117, + 917552939, + 471044691, + 522236704, + 599627797, + 150692741, + 456155692, + 412722797, + 549442671, + 347107335, + 390292152, + 412919466, + 438367551, + 151425188, + 92414080, + 181599403, + 656433497, + 237913972, + 56665766, + 916704590, + 878773471, + 906306801, + 721847904, + 683297165, + 528143122, + 56348014, + 370806584, + 395779454, + 238276771, + 225917520, + 443698934, + 322257537, + 133005297, + 733083416, + 352030484, + 416417987, + 31046177, + 789610154, + 143078289, + 972144169, + 519585422, + 713773983, + 743953909, + 789468052, + 579673103, + 793077905, + 561509525, + 547511691, + 593908937, + 426791970, + 304949014, + 92605386, + 311836787, + 351572040, + 416125165, + 15472407, + 735831411, + 737020969, + 498659090, + 960977342, + 285434549, + 170962514, + 594956944, + 309926421, + 674016021, + 916315119, + 29939701, + 688865608, + 426322789, + 905395416, + 397284131, + 471742146, + 296394215, + 387697167, + 505295992, + 345166291, + 477731925, + 769333391, + 96180846, + 460853583, + 234052321, + 798098319, + 849346879, + 731258574, + 429623658, + 401958066, + 71962849, + 935393286, + 935306780, + 809304567, + 507944616, + 859484908, + 286095697, + 662967281, + 85859510, + 296579683, + 993281324, + 422814357, + 33626861, + 611097269, + 572518423, + 161063952, + 160650037, + 297723925, + 250327663, + 471902634, + 926101990, + 154045072, + 780099016, + 552910104, + 804265347, + 673658970, + 778480557, + 187521644, + 870275979, + 878530300, + 777726947, + 453108825, + 961072409, + 578291182, + 36501843, + 216442318, + 821779412, + 12635942, + 349467917, + 373418970, + 925297933, + 942637689, + 365317250, + 367852686, + 49791316, + 419923008, + 811268382, + 305959333, + 936228679, + 317854878, + 743876490, + 333509752, + 935519233, + 722300783, + 32138366, + 236289356, + 411396024, + 866498365, + 25533157, + 31403714, + 921008884, + 249715479, + 221580585, + 259604756, + 785352734, + 473300458, + 211225496, + 245946816, + 878165324, + 114587802, + 894937202, + 852051504, + 653135057, + 864154595, + 293382658, + 140584367, + 214829093, + 541484804, + 636368738, + 275908913, + 630990221, + 52287870, + 135102029, + 157684645, + 551869617, + 256866758, + 867163657, + 313571664, + 230201671, + 264659636, + 365218866, + 838051052, + 361977820, + 506668830, + 958067380, + 94215046, + 394261684, + 290131835, + 201232719, + 906987965, + 490955060, + 828745297, + 325680669, + 792873507, + 491884312, + 309420133, + 368844860, + 360275305, + 82615682, + 169824353, + 438015288, + 720404055, + 22496448, + 974401044, + 399085001, + 548353350, + 764889531, + 169949759, + 573087189, + 527679337, + 536934990, + 184154604, + 947085119, + 306214358, + 835979189, + 395101060, + 672311951, + 638748746, + 346214892, + 145910820, + 419220379, + 633452007, + 82074997, + 569742361, + 843233207, + 468175601, + 836581049, + 433826698, + 238339172, + 962079774, + 172080233, + 606581687, + 452831506, + 225247041, + 696785545, + 132485734, + 335275890, + 596403077, + 235472522, + 7311951, + 51374839, + 488429779, + 345241863, + 415525054, + 80860917, + 323782201, + 944627672, + 731920277, + 554379450, + 531284688, + 835425170, + 932370287, + 740648950, + 733268791, + 878758718, + 295272248, + 430588860, + 962686527, + 765421094, + 336808317, + 806559711, + 300462122, + 169516450, + 572985532, + 928559132, + 704134186, + 138111481, + 20596399, + 2397533, + 892867010, + 971069636, + 971323697, + 391576882, + 15306792, + 866272869, + 182721887, + 460134764, + 619704157, + 732255009, + 769073573, + 172078313, + 890065983, + 446203991, + 963161522, + 435109120, + 225052066, + 56883933, + 661502941, + 805074765, + 250239271, + 585018648, + 487906196, + 881558834, + 135670766, + 337529928, + 433594809, + 398879773, + 548362613, + 285300625, + 98432571, + 158374060, + 537034894, + 805816233, + 49044300, + 124122579, + 543925542, + 585773748, + 980897343, + 898348949, + 457553989, + 922350488, + 752938305, + 708119865, + 172528328, + 471951795, + 609034098, + 989630209, + 841727420, + 271862097, + 351706597, + 256718269, + 232614165, + 670509500, + 903185872, + 982459788, + 363350187, + 970600865, + 814171627, + 357990800, + 808504596, + 531122928, + 572208398, + 518022365, + 122547055, + 124470049, + 481557735, + 769396486, + 3495307, + 103349173, + 491768391, + 104537750, + 195536897, + 602217169, + 734622399, + 106565302, + 868728965, + 341247443, + 235533602, + 383986358, + 684989650, + 851734868, + 371465755, + 672574893, + 74163486, + 504501605, + 784942139, + 736621646, + 154109523, + 508281373, + 745708661, + 803155514, + 211936417, + 713077183, + 771442077, + 685768328, + 314937687, + 794244951, + 323349738, + 283603904, + 599564081, + 525123408, + 756461336, + 162522900, + 642476502, + 28277410, + 760492107, + 380921533, + 848381540, + 573222682, + 155204004, + 871905629, + 349765603, + 229753852, + 435579468, + 942475017, + 537401518, + 664892757, + 49097599, + 979515817, + 733596390, + 291916738, + 924533445, + 5237515, + 835901177, + 198385216, + 515236823, + 192555486, + 112070315, + 632609485, + 965585751, + 28355587, + 961248183, + 16759605, + 590769780, + 713999165, + 844686638, + 560919609, + 955981811, + 826128466, + 31136076, + 763754777, + 973511878, + 314183718, + 297409165, + 434118760, + 974092364, + 834781362, + 183120393, + 733824595, + 665460098, + 80130820, + 616392854, + 611382187, + 940138038, + 826243756, + 275228295, + 665025095, + 84795116, + 142488551, + 768655555, + 619278626, + 376307873, + 770001805, + 258571358, + 967199493, + 477627567, + 604871755, + 770956248, + 346331922, + 991286173, + 514976182, + 830629451, + 956044352, + 248850561, + 440387509, + 482276865, + 602783791, + 533059261, + 221837307, + 243283294, + 798792589, + 220381983, + 305796150, + 659097514, + 857179223, + 160169776, + 562384655, + 524380909, + 29593579, + 192403950, + 458152320, + 710712925, + 544206001, + 2189089, + 843515265, + 931146764, + 468134614, + 420807519, + 854981143, + 37322675, + 601121046, + 450634292, + 621607298, + 164396962, + 662130050, + 918427797, + 767222412, + 93498564, + 286046994, + 960351024, + 445349969, + 472744730, + 567226357, + 926401017, + 130218543, + 252744011, + 142674459, + 441669541, + 22203417, + 415433244, + 807555956, + 569271461, + 319221987, + 954967958, + 749377940, + 35584261, + 31350250, + 159355915, + 388002186, + 199182605, + 724492140, + 42898601, + 377948317, + 839718206, + 780466903, + 551324929, + 378592251, + 510179683, + 141872831, + 696800866, + 637044321, + 138831305, + 724838741, + 50681291, + 641321803, + 668999329, + 83888322, + 730985912, + 402647325, + 343110130, + 187938311, + 645739752, + 642275207, + 551049599, + 36141837, + 32033551, + 131636805, + 342801278, + 192051462, + 204043333, + 302454997, + 468686439, + 421545508, + 221590818, + 975016376, + 700155211, + 15183851, + 847118995, + 673173803, + 282824164, + 973115914, + 443666189, + 987340313, + 533526077, + 125472168, + 694143633, + 161173970, + 426497860, + 715045458, + 875176998, + 218430033, + 326657225, + 644865309, + 23933391, + 167071016, + 398223623, + 449389961, + 725517176, + 128904936, + 241319892, + 49696880, + 605030102, + 32042374, + 124249240, + 692645923, + 853223384, + 162263594, + 940540236, + 909835584, + 945664999, + 46034178, + 446675554, + 514360176, + 261262499, + 165505131, + 995566070, + 836768339, + 203852759, + 324415270, + 310159539, + 694458590, + 154373895, + 212255971, + 336434345, + 303908698, + 399332118, + 135701511, + 701081927, + 428262038, + 416121134, + 2218658, + 603925156, + 122414996, + 872572839, + 713113718, + 187728101, + 163765542, + 753641172, + 885075064, + 927388705, + 288985921, + 848642816, + 443951843, + 729206188, + 882945987, + 652814722, + 976909454, + 923538500, + 695773511, + 718966519, + 954757456, + 446476119, + 760573933, + 970398455, + 941429085, + 410347056, + 364893492, + 447306283, + 179404217, + 864039695, + 519300250, + 451583160, + 760150404, + 252545589, + 427959888, + 903556055, + 5060832, + 758978429, + 13078736, + 894393961, + 886413421, + 624665766, + 529331765, + 145441798, + 423309500, + 5701368, + 494734368, + 381487959, + 926821008, + 166128837, + 157119093, + 650945805, + 262320858, + 720653639, + 13919612, + 193906056, + 141383686, + 812764885, + 134504427, + 153452702, + 779744098, + 803848399, + 371249709, + 468612421, + 909276166, + 764916539, + 460693708, + 435203406, + 969071140, + 18112654, + 576341769, + 611312664, + 721846682, + 684390252, + 993611079, + 166118612, + 690657594, + 622002333, + 100754341, + 990659253, + 25186307, + 838338647, + 262217242, + 874525662, + 366571802, + 82199410, + 268389854, + 701461894, + 124803758, + 619268577, + 695615062, + 973053757, + 984550390, + 300512020, + 792906532, + 725021225, + 213221716, + 865494131, + 164528207, + 626659692, + 710289451, + 412492345, + 799777047, + 845554355, + 383097634, + 460923821, + 78219324, + 816697679, + 442330272, + 468101124, + 719353050, + 446670631, + 661555455, + 17933926, + 490089616, + 935480244, + 92820514, + 467853163, + 317070516, + 562951588, + 777125215, + 601329505, + 466104218, + 333510011, + 891970822, + 175348915, + 48044660, + 904657631, + 830131672, + 616396728, + 650764363, + 652412519, + 501147544, + 484521989, + 619607066, + 874257758, + 14142788, + 258778420, + 134421995, + 684650543, + 995525689, + 675726598, + 699149849, + 562090912, + 256886552, + 993136461, + 209995554, + 187900142, + 359667358, + 469366773, + 928610905, + 776757799, + 880269748, + 358732575, + 793762438, + 672760617, + 346914643, + 249295820, + 698077454, + 315429962, + 194822823, + 270560, + 32065196, + 193479561, + 732149753, + 968817337, + 761883097, + 830753, + 946073030, + 730397015, + 831964041, + 354793996, + 959087495, + 236418845, + 568660035, + 76201685, + 564918274, + 386928675, + 349150986, + 116505627, + 457554331, + 692203413, + 291365098, + 22519046, + 15472805, + 223507623, + 100146284, + 300694563, + 829247071, + 672021530, + 945078586, + 234683603, + 26442681, + 57268515, + 492648311, + 267817732, + 762499214, + 307340057, + 266286106, + 22789079, + 105564697, + 628267543, + 380802673, + 840694527, + 383421605, + 789351305, + 742661675, + 63982133, + 250232067, + 677301124, + 963376201, + 629571313, + 581368651, + 540139265, + 315352492, + 995731916, + 652243234, + 85860182, + 911952530, + 617270275, + 457447134, + 971435619, + 375843644, + 666288526, + 121460229, + 600592140, + 143952232, + 898468791, + 923614341, + 901705394, + 220682387, + 25238581, + 652077558, + 893364186, + 721335697, + 832488786, + 299929164, + 7048817, + 808122349, + 493831213, + 770353336, + 609455737, + 81316157, + 47707244, + 201351344, + 389040217, + 317102773, + 681938890, + 173342253, + 34405110, + 648830192, + 981323980, + 515698953, + 6372545, + 665048853, + 617199746, + 478730093, + 355610841, + 298273073, + 741419122, + 709908993, + 571790679, + 355661072, + 924843415, + 586160294, + 53228001, + 147647409, + 494488994, + 31549834, + 550954735, + 264318373, + 536313245, + 401322785, + 508119563, + 615122054, + 214915475, + 531666473, + 566996142, + 515377467, + 916359065, + 522304736, + 787386686, + 909564698, + 228765854, + 116695588, + 478852948, + 473005300, + 481356062, + 348717616, + 984063960, + 14317413, + 286773810, + 366615, + 19707164, + 688542535, + 321262801, + 591153012, + 918875252, + 223927970, + 59190891, + 746177690, + 527915232, + 96171570, + 590439468, + 936420473, + 520674289, + 131791792, + 899601970, + 395891923, + 654404096, + 789444026, + 604373936, + 543551305, + 844121449, + 921104358, + 731741792, + 17253410, + 999882469, + 450934822, + 239207533, + 674360674, + 563015352, + 841757334, + 189041483, + 953373394, + 722807309, + 652680376, + 496732536, + 784995206, + 137132942, + 407272146, + 831711854, + 310245725, + 732028082, + 166962027, + 125070710, + 561094953, + 728309579, + 907767201, + 151323696, + 638055342, + 129840896, + 503873311, + 414105261, + 84435840, + 331336178, + 84108599, + 304682092, + 139621389, + 468742216, + 450355345, + 842946636, + 79244312, + 94293806, + 825039370, + 804822231, + 621202289, + 198367794, + 883859363, + 572222452, + 842336546, + 761156656, + 652938617, + 527694132, + 224785750, + 970398563, + 938226703, + 326090918, + 741104246, + 174270617, + 14628012, + 163615293, + 258692877, + 813007055, + 236982895, + 206444232, + 125737839, + 145214723, + 148140948, + 567708674, + 559262431, + 598938337, + 176656210, + 346089052, + 38517754, + 246935917, + 996714514, + 716373486, + 373631941, + 109296952, + 277380732, + 9867536, + 573803764, + 994084059, + 996296344, + 444276926, + 808475779, + 613073958, + 650153119, + 380426480, + 674645832, + 641407710, + 599796556, + 579061117, + 618187912, + 921512391, + 978205515, + 765527425, + 450412050, + 918965883, + 683879666, + 91092704, + 2060337, + 973165258, + 260370625, + 970268658, + 607779034, + 921604218, + 354228084, + 255790563, + 600977888, + 543505576, + 162761113, + 659621584, + 862427805, + 48395682, + 659608724, + 515051598, + 321131197, + 795616390, + 412024338, + 182602409, + 113725272, + 577317006, + 806389805, + 706419690, + 768788117, + 716617876, + 555245957, + 626962554, + 609898936, + 585042482, + 572481961, + 662775524, + 26152675, + 775583272, + 284551047, + 805608448, + 46601761, + 435877133, + 642608809, + 225014936, + 947351526, + 674191420, + 94210197, + 661630841, + 501895977, + 589819651, + 56061857, + 591920205, + 306335498, + 235720179, + 187996397, + 109076676, + 212258037, + 18806379, + 704921619, + 29065513, + 312245014, + 460852442, + 113347196, + 348777197, + 296894075, + 954047397, + 166816684, + 976451957, + 786001657, + 382433029, + 103159197, + 999300705, + 600062232, + 767324743, + 852658857, + 27955141, + 946093509, + 571307419, + 478419613, + 69422873, + 32791318, + 504900661, + 631976273, + 458459298, + 556288675, + 830436046, + 409469613, + 633680916, + 694853189, + 234377872, + 831941578, + 307692878, + 93417879, + 437991293, + 738566875, + 29071738, + 967752955, + 345228424, + 799466808, + 486908939, + 247079283, + 332321175, + 359442027, + 818467117, + 782532663, + 985861204, + 950448050, + 942953796, + 870979853, + 168593535, + 873019271, + 943022554, + 843553954, + 450166857, + 387015546, + 563474530, + 753992524, + 496994008, + 973012857, + 330964207, + 216826113, + 808514236, + 160913572, + 563985531, + 484514245, + 181387609, + 126392208, + 658680021, + 220474408, + 247048587, + 404744375, + 125869550, + 794243357, + 330379701, + 789365091, + 937270256, + 488452043, + 178860235, + 112572671, + 770123010, + 689369859, + 494579646, + 934655351, + 654444005, + 299942220, + 354339838, + 864670265, + 869616167, + 288397811, + 879076025, + 958726295, + 920247464, + 438009021, + 377635852, + 457329646, + 180891798, + 551936712, + 754547525, + 38700280, + 424439215, + 64218147, + 773993782, + 122170188, + 156293912, + 112753837, + 108442117, + 191980910, + 124773611, + 322228571, + 417582531, + 148906922, + 593528441, + 504597850, + 442460132, + 321169789, + 10186217, + 498967481, + 132185195, + 869232253, + 55220946, + 343517944, + 100150656, + 874898699, + 818718240, + 492391063, + 937478415, + 797735750, + 981531107, + 360110763, + 997496965, + 164700734, + 437422135, + 435714044, + 555713332, + 423260531, + 523466755, + 296687039, + 901003093, + 585359029, + 996656965, + 963849710, + 185492948, + 151472620, + 858181987, + 230733479, + 593391210, + 686680786, + 592667522, + 125666884, + 530561946, + 378864710, + 725252877, + 557674108, + 467491194, + 630581906, + 685866809, + 971681825, + 703236088, + 38175141, + 13354206, + 879630360, + 500469866, + 662703637, + 6505129, + 160694368, + 707358224, + 476605899, + 274298675, + 42032014, + 968437477, + 427251980, + 369246364, + 97233556, + 509739248, + 281690967, + 535537297, + 137596508, + 756828402, + 785510168, + 489688367, + 290147236, + 616328296, + 261951265, + 29550469, + 17164306, + 294223944, + 421680359, + 482058167, + 248984997, + 515860609, + 749347651, + 863347129, + 524198958, + 284379674, + 270125988, + 315262257, + 30308059, + 335552859, + 348041033, + 147266523, + 370007756, + 922331939, + 359728108, + 829072467, + 700259779, + 472753930, + 647117325, + 597886929, + 631911847, + 751884093, + 211146129, + 246130219, + 280370701, + 220406260, + 23599735, + 688389490, + 54601535, + 869184516, + 123853969, + 891353789, + 729129868, + 455114276, + 331417358, + 107235494, + 616292797, + 202567167, + 722053683, + 17026864, + 921951687, + 379550553, + 652214052, + 784716637, + 865145873, + 555924123, + 99729399, + 547450891, + 141630236, + 265366331, + 913621332, + 740596852, + 802453918, + 293227861, + 777061220, + 275644209, + 53013662, + 659243083, + 370686554, + 550178825, + 674325902, + 746585199, + 891043801, + 229634964, + 718833785, + 531554473, + 562018886, + 650003074, + 389516143, + 723981737, + 306577384, + 797138857, + 843159529, + 60495958, + 276007533, + 274747970, + 934860618, + 297264474, + 148423922, + 410503489, + 409776418, + 288385786, + 735392563, + 847514490, + 561809620, + 795834628, + 858394720, + 540503720, + 801566515, + 420477314, + 58582833, + 384586716, + 722603957, + 990693488, + 181655902, + 608918611, + 628265379, + 741717925, + 275043332, + 915487751, + 750538532, + 446629638, + 311708560, + 903285376, + 499891289, + 376591808, + 395533892, + 49006501, + 600765095, + 427077902, + 741301863, + 332126846, + 7895827, + 894881512, + 614524168, + 15353313, + 912826176, + 568593747, + 42297770, + 644000572, + 391335302, + 880313573, + 790265985, + 533221853, + 388419280, + 744998837, + 376307201, + 343379415, + 563973690, + 235881475, + 160385904, + 799045291, + 583921334, + 717081597, + 267094819, + 996746242, + 748753038, + 38913665, + 904533540, + 905791671, + 679199170, + 543778983, + 614208087, + 553788239, + 905011652, + 525286002, + 19772510, + 441615032, + 894373481, + 951361320, + 897959878, + 344113971, + 623528071, + 469835084, + 446104348, + 543630107, + 884827011, + 829092398, + 822504001, + 782524695, + 661238212, + 906555986, + 695220599, + 402525621, + 605874754, + 833459458, + 858710397, + 628579473, + 62693522, + 574975796, + 663299575, + 900923391, + 424744909, + 517809985, + 972417857, + 161187141, + 42458426, + 168473300, + 842844706, + 799715602, + 70935144, + 373215513, + 277453353, + 846343474, + 75503954, + 613618491, + 34807420, + 713323123, + 149515617, + 26598624, + 840877756, + 626474967, + 125714371, + 515929801, + 202908734, + 314326717, + 465234945, + 295602001, + 431272976, + 93391274, + 424645419, + 455274020, + 739989340, + 516717877, + 787740422, + 475999874, + 382872511, + 464735890, + 926129047, + 355207206, + 369760677, + 558002190, + 262163298, + 430086295, + 203554272, + 520983080, + 306518520, + 726329248, + 99640741, + 285492629, + 349943304, + 775752325, + 992866188, + 97207011, + 57299242, + 998598988, + 635711271, + 763416184, + 44656149, + 163390108, + 797855174, + 695305361, + 560243809, + 179157315, + 900190017, + 953845994, + 744799255, + 649814180, + 858592642, + 249476167, + 960317777, + 349253487, + 853003288, + 243172703, + 70458743, + 807023161, + 275930756, + 368443496, + 373115789, + 407970033, + 913083795, + 789317019, + 286122178, + 441322471, + 326415897, + 405486483, + 203995852, + 600903593, + 77100505, + 786147360, + 459903034, + 474584720, + 249084960, + 3804547, + 647981135, + 74503689, + 892895756, + 749760613, + 595012395, + 256318116, + 499032197, + 968098591, + 770320295, + 760007083, + 26849484, + 770409054, + 788684182, + 880440369, + 280706893, + 461016767, + 564237910, + 973392124, + 385659270, + 652583441, + 633931532, + 189626842, + 35337614, + 608785619, + 860278743, + 30178449, + 160783387, + 603302242, + 263556644, + 568107144, + 376562178, + 964303469, + 843004581, + 77276115, + 41244275, + 929694283, + 768122525, + 402469877, + 100600554, + 951630171, + 749427392, + 977723268, + 961905471, + 125181640, + 683234812, + 876978079, + 319051103, + 314216376, + 765210395, + 99409402, + 977335358, + 228643244, + 334470828, + 881027766, + 973854217, + 518503526, + 56526401, + 376315483, + 332477269, + 590949227, + 953996370, + 728062481, + 84764756, + 336207609, + 802005322, + 605535537, + 209438327, + 857802365, + 929955439, + 478441381, + 543475903, + 207241610, + 175088292, + 130028661, + 207546687, + 241634137, + 68260727, + 355639175, + 638650472, + 328898557, + 519092642, + 37286917, + 979764824, + 745882537, + 587966150, + 697758397, + 137629763, + 212066470, + 817832666, + 639717282, + 6357857, + 94212857, + 660052466, + 171796015, + 669714215, + 210660829, + 2044437, + 869069584, + 478139369, + 321066807, + 880154338, + 834061329, + 759616479, + 23548247, + 5172068, + 599614816, + 869266597, + 269394785, + 173262487, + 334417599, + 977517366, + 630838251, + 5192410, + 793264665, + 195534386, + 567101510, + 425764506, + 728736936, + 305960951, + 796725237, + 113248809, + 649262628, + 658287778, + 135328977, + 322625805, + 552922573, + 615922778, + 923744383, + 778221586, + 725033066, + 521285726, + 884105989, + 161535762, + 753093267, + 10312256, + 426179691, + 394872112, + 259252858, + 132563719, + 146785274, + 538561016, + 135912688, + 166948319, + 872183439, + 377116162, + 637038155, + 722504267, + 421955892, + 54261878, + 374690273, + 721221665, + 848806401, + 542707589, + 27636530, + 439232121, + 54998719, + 762110098, + 131228296, + 74606423, + 722656332, + 394330531, + 35968402, + 756010928, + 797987807, + 937013339, + 732045205, + 627435054, + 968848943, + 262942701, + 866797727, + 231936715, + 115142366, + 485794677, + 341469061, + 926416479, + 626966140, + 372881042, + 108259309, + 820940027, + 599236400, + 518091081, + 355753007, + 669431518, + 71225844, + 448389289, + 183560522, + 112806999, + 914329366, + 114699008, + 848940086, + 761392156, + 360583348, + 303794666, + 15735626, + 913144113, + 847340076, + 643982419, + 350417398, + 614673409, + 702316442, + 633023007, + 264069491, + 488132171, + 101981640, + 614999199, + 998504717, + 697650534, + 32951143, + 815591968, + 983040712, + 487424124, + 827379026, + 974278602, + 347211296, + 241092780, + 66276998, + 635873871, + 718247728, + 838659880, + 117371352, + 150349874, + 22729099, + 999265435, + 961592630, + 141434750, + 959745671, + 913412261, + 725444217, + 725871614, + 970988777, + 357966697, + 413996919, + 933504419, + 535578924, + 702360068, + 775608700, + 798756577, + 932210019, + 631181645, + 42123917, + 580341945, + 459090480, + 545096447, + 500471616, + 742301239, + 500676739, + 918250701, + 861937408, + 8280869, + 639926834, + 656185952, + 561163726, + 736323876, + 507277165, + 651666706, + 281074016, + 437181713, + 948189449, + 629982350, + 186579761, + 182453591, + 772837696, + 21585112, + 18662620, + 85708314, + 863213229, + 942777407, + 289582393, + 275613653, + 73153973, + 199050554, + 778575806, + 100848257, + 299267636, + 138664184, + 58380279, + 156407473, + 811008534, + 738864498, + 565535313, + 847979462, + 243990363, + 462176763, + 47470630, + 714911269, + 518052990, + 739199340, + 811462171, + 892763361, + 926994665, + 830055654, + 749458370, + 384326141, + 167063871, + 486970881, + 528990087, + 582449234, + 720493175, + 69040626, + 199769815, + 376541564, + 570737090, + 709910928, + 781655745, + 129254432, + 435152478, + 879133647, + 748862042, + 292922549, + 754049270, + 374622468, + 937140144, + 641874572, + 540582450, + 106467705, + 464423930, + 144197909, + 619269359, + 272323162, + 65440667, + 630113736, + 877130843, + 100224033, + 472705006, + 574935651, + 441585831, + 673440368, + 720406916, + 86182358, + 707790620, + 973604957, + 871929702, + 687504409, + 277667190, + 248413966, + 81196684, + 20036225, + 435832959, + 235781349, + 319143872, + 712403026, + 182482729, + 178597127, + 917657598, + 798732108, + 930724816, + 675858490, + 285556424, + 16284690, + 860555597, + 266862304, + 855365897, + 519634996, + 227539515, + 79958251, + 221064119, + 548463771, + 162313483, + 789262911, + 880028850, + 829245666, + 960773735, + 85178354, + 749243297, + 954810539, + 983111419, + 885457784, + 323032775, + 380164502, + 546223482, + 405159918, + 696325217, + 922387410, + 279357074, + 67387491, + 126580273, + 240803894, + 638710421, + 59490484, + 283585228, + 838799954, + 241862971, + 994659720, + 323502749, + 699300057, + 366918356, + 494727339, + 1024681, + 388277619, + 747484210, + 83616577, + 769593534, + 907067909, + 62760932, + 543825333, + 880901277, + 563001392, + 100460915, + 414154226, + 282745336, + 565682060, + 635321750, + 118299597, + 597759801, + 19889596, + 43042958, + 252100829, + 311404069, + 372771824, + 758661218, + 485544760, + 663996948, + 362440128, + 444026297, + 136780373, + 376442843, + 687414262, + 664594787, + 680420599, + 117875129, + 392569481, + 332488239, + 757949615, + 681925457, + 905492653, + 280609200, + 344219740, + 157434544, + 391064327, + 418611297, + 15755941, + 822219247, + 549602928, + 641015850, + 693095160, + 257923416, + 907260118, + 523343607, + 658059729, + 350444051, + 845394114, + 69644221, + 919554829, + 538461120, + 784523405, + 993460647, + 643365807, + 619933079, + 904180143, + 792262657, + 763969016, + 445235545, + 172714017, + 203987133, + 835494425, + 6943654, + 418420601, + 516283366, + 286437902, + 775230428, + 429955581, + 359414909, + 604317007, + 44971019, + 203911818, + 463184002, + 681839771, + 243684114, + 927102705, + 268090772, + 882401972, + 477165818, + 162004921, + 401340496, + 937816774, + 244556256, + 27431235, + 752251367, + 240273721, + 71801001, + 622439643, + 895958220, + 547884921, + 692117173, + 655351950, + 382446893, + 713967805, + 956142661, + 12597096, + 726864219, + 152098110, + 649297589, + 477932358, + 366418538, + 364509162, + 454629907, + 638384414, + 705524845, + 265642660, + 291184178, + 384856795, + 398303390, + 597833102, + 640466525, + 231011273, + 838529434, + 35418702, + 844765019, + 72763678, + 422894784, + 903584718, + 427507133, + 347922855, + 656495467, + 766618509, + 361805703, + 475545353, + 488531214, + 599609589, + 305472999, + 297064377, + 593161933, + 733619287, + 167749290, + 656300912, + 527812076, + 729427239, + 651175038, + 856840668, + 886077269, + 596789076, + 602186572, + 353774743, + 175596176, + 32898709, + 550250194, + 163051871, + 548082146, + 975803247, + 704015217, + 763413709, + 476166265, + 361463272, + 935941909, + 782410867, + 164197608, + 415075040, + 746644402, + 912222943, + 884033559, + 335395033, + 129817968, + 883803328, + 261814408, + 181745608, + 173942592, + 794380828, + 958514213, + 472041161, + 533027824, + 610650000, + 80838522, + 107805476, + 513203870, + 197600551, + 838247769, + 214463082, + 330068127, + 178707351, + 875667251, + 676601934, + 539638424, + 405589312, + 579013248, + 336277012, + 890338651, + 334536953, + 759052267, + 241601832, + 133324125, + 84521621, + 586378603, + 245442140, + 820529434, + 589738323, + 666336143, + 659548438, + 549182076, + 702940427, + 906532988, + 877542615, + 336775413, + 139824534, + 774367420, + 743734441, + 643112670, + 378428506, + 911484539, + 257865298, + 28523855, + 90563137, + 732487786, + 812154152, + 885681848, + 277288064, + 735080496, + 819510677, + 599552368, + 565844761, + 197516557, + 964974571, + 206761206, + 254786802, + 111656708, + 688082166, + 127106272, + 520682500, + 10998749, + 922304211, + 318772816, + 891103200, + 7250144, + 316276777, + 953357416, + 731365014, + 115373675, + 888961496, + 269780044, + 62009377, + 54525210, + 423956543, + 764845318, + 377753156, + 709944970, + 757549368, + 371389093, + 112542248, + 802309757, + 354180689, + 910308264, + 898861658, + 104164436, + 332310998, + 879768239, + 148384358, + 869276119, + 476857480, + 423609118, + 323130891, + 816150689, + 48948387, + 586158466, + 627028051, + 270823037, + 64202148, + 130775948, + 951650694, + 860515850, + 63724305, + 567198025, + 952893157, + 5652813, + 816611892, + 772709698, + 99850417, + 737131893, + 482048764, + 718108736, + 488065568, + 763943650, + 442413271, + 405528809, + 903687726, + 532356596, + 286199778, + 359784070, + 169860390, + 897382605, + 703431116, + 560576068, + 474289376, + 66383975, + 391618092, + 819853316, + 962693745, + 731148239, + 700566784, + 113234750, + 600906768, + 11152377, + 151966172, + 997445506, + 878214815, + 943385219, + 430025849, + 534811567, + 640539163, + 617098204, + 518944618, + 574755527, + 762810663, + 385058712, + 901167239, + 859972170, + 446978605, + 935839343, + 951326371, + 716241883, + 763576893, + 282408570, + 734330358, + 852471763, + 131141618, + 621043402, + 775298012, + 609688584, + 45033053, + 774534917, + 708269490, + 398003900, + 856421876, + 537959975, + 856394681, + 512548399, + 254383052, + 688604107, + 848932266, + 844529508, + 770908770, + 221347721, + 547104787, + 814451709, + 424062741, + 430361380, + 322808354, + 629665142, + 495331185, + 638295734, + 473054492, + 3759407, + 893173367, + 604273846, + 544750922, + 262007758, + 678585628, + 612576231, + 855981471, + 904367380, + 432074886, + 326565578, + 146318194, + 129786947, + 977241798, + 352057925, + 243776739, + 183196659, + 87982829, + 733597206, + 386320971, + 995770082, + 815630532, + 856413075, + 479942212, + 291367612, + 172526851, + 359013372, + 288363442, + 41506582, + 208740122, + 842104349, + 847089179, + 312925971, + 884773571, + 327643864, + 232034733, + 609119837, + 276284523, + 164823052, + 895983932, + 130289088, + 727145030, + 55119274, + 402362369, + 61689409, + 514512153, + 526171655, + 236329542, + 99150039, + 308034637, + 32575637, + 123102176, + 770539916, + 780399635, + 838864777, + 827309366, + 238902699, + 932737103, + 441688292, + 275118677, + 220889654, + 12262326, + 518057800, + 384044823, + 945771671, + 504151470, + 303785273, + 542678951, + 161018490, + 432971574, + 762193646, + 562971521, + 707460493, + 163133188, + 517197231, + 974382823, + 648389296, + 726138962, + 683280263, + 828474126, + 537440692, + 182201047, + 550027420, + 398410329, + 639210330, + 998791579, + 790501947, + 162938885, + 344814228, + 248730821, + 680270246, + 209266398, + 978135715, + 628616202, + 155861357, + 63346321, + 573211563, + 991520229, + 719240673, + 854074538, + 44543058, + 19838979, + 198338550, + 608332081, + 617909526, + 521968666, + 975122232, + 405806427, + 850595463, + 676397369, + 201244222, + 740138564, + 34425404, + 251516993, + 355289598, + 75929233, + 395319685, + 238423626, + 612112850, + 968175998, + 994268020, + 545132249, + 880453590, + 897492165, + 541999679, + 863220635, + 281629870, + 673757460, + 248446919, + 416769731, + 814507328, + 576033008, + 139385176, + 364848634, + 509828150, + 954731831, + 19765277, + 814222992, + 579854984, + 901438171, + 691516188, + 671461595, + 756926586, + 906590703, + 882675528, + 349252897, + 563938360, + 746242133, + 960739993, + 951927094, + 248613442, + 547359002, + 951771783, + 381561694, + 415192127, + 637439611, + 754588237, + 394282302, + 496255210, + 5698622, + 994933195, + 907694035, + 973594873, + 132972243, + 484428358, + 341754567, + 401969810, + 389891654, + 692401913, + 398749165, + 642201226, + 788787815, + 693469651, + 213818224, + 848703806, + 669865526, + 817002932, + 620790802, + 621178361, + 79921241, + 292246655, + 531276409, + 63851981, + 831544678, + 31724463, + 769271241, + 140019214, + 114444306, + 270719928, + 888284663, + 658139657, + 84674633, + 910290933, + 184906694, + 621144015, + 375356783, + 250200207, + 903142899, + 486742375, + 815664840, + 924860499, + 249473133, + 447126146, + 402262263, + 158494528, + 951075723, + 402369309, + 935739360, + 302252169, + 264303032, + 306264765, + 713195216, + 909511516, + 51542163, + 764134472, + 658880907, + 91794972, + 428410328, + 616090065, + 410124957, + 853888549, + 434113112, + 655926463, + 660971813, + 61671738, + 997962962, + 661765829, + 406879449, + 440719067, + 886385138, + 928355130, + 671344844, + 285424056, + 802308116, + 617030581, + 528752009, + 55390350, + 918529354, + 618733972, + 326398092, + 28284861, + 547675417, + 214074341, + 432170719, + 390952069, + 351741090, + 26296748, + 2673052, + 694014516, + 939907871, + 820004542, + 377476295, + 871721159, + 109601510, + 662308225, + 97020374, + 883996416, + 32878892, + 603636652, + 864672861, + 543631259, + 854845307, + 913986810, + 467607544, + 270468442, + 307683874, + 631017134, + 476188572, + 946463352, + 36678345, + 965360754, + 979835110, + 257071893, + 307998109, + 512251967, + 7396003, + 477526692, + 719334699, + 258741376, + 297284301, + 190384272, + 442954713, + 986939577, + 433662670, + 637571738, + 235354050, + 920397333, + 940004735, + 925164120, + 525665397, + 540082402, + 619069831, + 693072720, + 269134391, + 883068466, + 375159674, + 235250888, + 474537248, + 492380181, + 64810575, + 960200631, + 555035412, + 639077177, + 902359660, + 228427736, + 861917607, + 933816759, + 246992974, + 117868675, + 953526831, + 832727574, + 176791330, + 94166204, + 774586698, + 863252000, + 808846802, + 210002673, + 447770042, + 695469409, + 911321593, + 160602700, + 327364465, + 936455648, + 159184321, + 288475381, + 962645859, + 266574850, + 655494890, + 535703975, + 144299369, + 266023458, + 789976809, + 503890316, + 680203671, + 139364015, + 191721686, + 136303482, + 167890963, + 385733298, + 396973093, + 715545432, + 283419581, + 403820989, + 449881610, + 508224619, + 75042411, + 115470705, + 453024555, + 84064004, + 20904844, + 529457355, + 963783020, + 703886942, + 124543796, + 201389325, + 508971003, + 89681260, + 686259307, + 510661876, + 55966729, + 98563160, + 245938590, + 359653537, + 340866589, + 29932285, + 425929960, + 657145626, + 925923682, + 202314685, + 40196349, + 438556220, + 329178285, + 336514401, + 80331344, + 112037042, + 591593770, + 723325844, + 150521601, + 268748844, + 941604590, + 685319323, + 730969331, + 191662397, + 747874072, + 584712626, + 592284998, + 811073002, + 309901800, + 487784316, + 495397557, + 342549, + 517391480, + 678012624, + 700053136, + 633299300, + 575102495, + 753113048, + 490321246, + 864922955, + 234006069, + 206424571, + 166370377, + 764339191, + 963833550, + 328197093, + 527726385, + 297481306, + 632912262, + 844063002, + 489659517, + 233332323, + 745716264, + 120465693, + 64599939, + 565186717, + 49558498, + 573250773, + 551152778, + 974350265, + 493266784, + 531183327, + 706993856, + 814713783, + 180823112, + 535218055, + 158783478, + 550771994, + 863674501, + 295922182, + 812045430, + 707996573, + 508054161, + 566243350, + 191383862, + 653252955, + 646602194, + 949034611, + 694323867, + 417958632, + 504639167, + 842839832, + 880120414, + 97196651, + 29172659, + 572560814, + 362298722, + 649535528, + 968085477, + 490451093, + 486885312, + 181035975, + 976337549, + 547139982, + 337117495, + 503150031, + 447207361, + 936428878, + 451994772, + 582801903, + 266214091, + 635636018, + 790944012, + 345248270, + 12741962, + 214919800, + 53820100, + 41039801, + 422758675, + 763194779, + 438899082, + 464178890, + 418685789, + 692307465, + 109754932, + 928211947, + 842319900, + 457713325, + 407058802, + 650592661, + 81577063, + 904111687, + 107733459, + 316226209, + 467642459, + 700214466, + 359875716, + 526383549, + 885657892, + 739879786, + 533693685, + 225702804, + 56684377, + 335648978, + 834115450, + 675173390, + 323355127, + 213027756, + 342213032, + 317303413, + 599508382, + 490635002, + 214571991, + 343461440, + 248270546, + 93225317, + 840541484, + 310288733, + 258696141, + 282684485, + 301374384, + 536414270, + 379543679, + 424287452, + 891365780, + 693093025, + 875567783, + 287458839, + 808369820, + 518837599, + 779129224, + 43555002, + 464957442, + 483246176, + 176236615, + 116493180, + 677096772, + 645590529, + 788249982, + 276112575, + 591886897, + 354554060, + 337452726, + 594553656, + 353544897, + 93095187, + 643456065, + 448008944, + 668074971, + 16469741, + 566566119, + 325510620, + 887961604, + 513855572, + 665116931, + 183537138, + 354347506, + 422683566, + 475405138, + 810563012, + 332120407, + 113846153, + 355063817, + 322886194, + 89633227, + 476510004, + 229552630, + 37330339, + 89840177, + 778656572, + 397002822, + 94849392, + 485367025, + 694110556, + 992617187, + 12224487, + 238333290, + 992811266, + 91532536, + 483736226, + 180596510, + 739263100, + 27173345, + 408703627, + 125911928, + 861707658, + 909933249, + 640871073, + 718649191, + 982093080, + 695650104, + 364255963, + 587972631, + 614725630, + 659113614, + 581891460, + 167484911, + 292827660, + 701153967, + 318799084, + 655692538, + 52505362, + 972450197, + 298359317, + 968899185, + 495797557, + 461394395, + 655070372, + 38019002, + 186209351, + 123226904, + 569655959, + 839698507, + 426793526, + 120001674, + 848351916, + 405821506, + 480391566, + 56108455, + 903297189, + 761871428, + 620921666, + 53086403, + 961706806, + 697013924, + 802968544, + 86403102, + 872084265, + 396286794, + 575144149, + 273949336, + 193530295, + 496525995, + 874955996, + 773897489, + 675185385, + 721082033, + 895630773, + 894417600, + 220925803, + 427868089, + 64837301, + 485192178, + 793988748, + 449254835, + 358706485, + 486580399, + 424217172, + 635706223, + 4477775, + 577906432, + 555689671, + 435079780, + 436649269, + 253352805, + 57146299, + 911139477, + 256958133, + 574888866, + 525536903, + 530507181, + 669548584, + 832034351, + 451992574, + 846941128, + 494354805, + 617309410, + 878072023, + 369302250, + 673969187, + 227944978, + 698974770, + 564197780, + 451460533, + 35891183, + 357138925, + 894039299, + 687040721, + 739011001, + 109340960, + 204171232, + 24470041, + 375461076, + 97196682, + 689623442, + 444955514, + 612766067, + 795003545, + 219236470, + 207306131, + 608629542, + 711786568, + 692172424, + 450940279, + 943399972, + 733098474, + 108305534, + 638927472, + 2853788, + 629484912, + 631183135, + 881045895, + 264521970, + 476875628, + 315664685, + 927815305, + 840244324, + 820409515, + 220111397, + 452781068, + 566725857, + 9046532, + 77053593, + 417307747, + 60528746, + 47980282, + 969094810, + 734039453, + 686588444, + 712645152, + 579084236, + 301852231, + 84284376, + 992391295, + 173936729, + 358698817, + 559465136, + 563989175, + 839834779, + 249276436, + 285357626, + 552524333, + 55245200, + 594761723, + 377939522, + 853274016, + 630083652, + 279059869, + 511031468, + 714894163, + 906414892, + 203828130, + 383852761, + 254628245, + 606424538, + 729864405, + 459009821, + 394219795, + 914954096, + 777334307, + 292424255, + 635270225, + 400426787, + 912680940, + 868550215, + 975694236, + 225345746, + 770787257, + 429666221, + 414083488, + 976120147, + 461114148, + 518664708, + 83378344, + 321100666, + 752176027, + 84185176, + 417829537, + 616685422, + 142298837, + 376507489, + 231831349, + 256389089, + 750251114, + 497344155, + 99737296, + 785409928, + 445599030, + 391378411, + 463709831, + 943547204, + 350424060, + 98078702, + 648220229, + 977739439, + 410295980, + 21905264, + 270807761, + 155101687, + 486650107, + 414508567, + 682891156, + 491444743, + 450438301, + 396565874, + 469387518, + 942364311, + 135027469, + 297085866, + 426610199, + 4997814, + 387654759, + 386297650, + 868341221, + 97460259, + 924991977, + 443923791, + 475943090, + 437277219, + 835412428, + 180220632, + 602503582, + 679935369, + 737289131, + 581301413, + 893319970, + 990060056, + 528583181, + 283520577, + 227653409, + 788528774, + 914711846, + 534984893, + 305561072, + 258743325, + 208881225, + 763111794, + 837963897, + 795400588, + 912682564, + 711440561, + 579732930, + 738611475, + 158395684, + 188367775, + 339899200, + 271377262, + 292146360, + 710453664, + 427125480, + 24925201, + 923055269, + 520910261, + 297253032, + 769302660, + 27265467, + 357231129, + 307238005, + 515072349, + 458156592, + 339329086, + 867209461, + 507438067, + 286882719, + 512847335, + 584614770, + 51757485, + 803903573, + 153341653, + 795780297, + 384747884, + 366442700, + 686951938, + 624505316, + 936611077, + 285544303, + 483214906, + 600606463, + 891373053, + 958598456, + 305785506, + 773577830, + 14563262, + 111792130, + 655999038, + 451356757, + 491839318, + 592122939, + 699094223, + 333286970, + 651477571, + 681952502, + 435889236, + 570648901, + 921546237, + 430392845, + 686303269, + 881101750, + 977404297, + 107414835, + 864528906, + 775178265, + 692808137, + 6729171, + 916698534, + 323378979, + 124995529, + 47455253, + 265320042, + 647731329, + 782944569, + 415726785, + 598981059, + 952068364, + 45645819, + 300773919, + 445493956, + 311457993, + 352758057, + 648111110, + 955593906, + 722863280, + 360562123, + 39504466, + 69827274, + 628550576, + 282895426, + 753905090, + 566140057, + 331269055, + 122772696, + 756422518, + 129123994, + 242031048, + 793216161, + 80180942, + 47557061, + 879173845, + 711187195, + 208458674, + 998156779, + 560146678, + 502187485, + 636399733, + 557657361, + 430011865, + 844270555, + 119557967, + 480599326, + 754138367, + 132542186, + 561072095, + 583659347, + 356367004, + 901689683, + 235139568, + 805532957, + 369317902, + 315674688, + 539263987, + 552598102, + 727227132, + 681758860, + 268387118, + 740922567, + 29655649, + 447875151, + 523405226, + 426879137, + 629213569, + 225404966, + 973957145, + 3131649, + 424747468, + 792110986, + 776632439, + 158725263, + 632443299, + 321052689, + 172977442, + 383928916, + 597021478, + 605674309, + 842521879, + 109270910, + 237990125, + 283103895, + 51478354, + 516567175, + 675950121, + 474644165, + 110706931, + 101161479, + 814855041, + 328136184, + 953984427, + 460678248, + 821486824, + 521578752, + 20893078, + 842445597, + 233110662, + 536073882, + 6070899, + 491169338, + 541791987, + 953268955, + 403568703, + 166272985, + 995507144, + 245669355, + 131836584, + 143237404, + 914783361, + 428490420, + 359013388, + 763076357, + 934794404, + 851894616, + 400615478, + 575199947, + 252570298, + 143840147, + 998842679, + 129003058, + 802300757, + 953665068, + 490687576, + 30981485, + 400652107, + 320686927, + 206088528, + 135699127, + 535210934, + 789090753, + 192722360, + 123819993, + 745904578, + 950065808, + 216337554, + 863177543, + 287556830, + 179610429, + 339373019, + 900506148, + 575211468, + 906496551, + 469928213, + 912749664, + 274044086, + 222048557, + 933476943, + 121795040, + 892948567, + 306476338, + 542454291, + 165673214, + 292313701, + 618990545, + 518742811, + 780617024, + 475490939, + 388777352, + 29664402, + 211933264, + 113782837, + 86598788, + 956608325, + 769782407, + 742819970, + 413804262, + 258996019, + 655892344, + 50889250, + 423199319, + 885818710, + 469473075, + 57288920, + 464987397, + 220016741, + 429883616, + 895420125, + 791719362, + 336119839, + 953363924, + 324661290, + 961383344, + 29302452, + 316003978, + 14502851, + 691389979, + 552753299, + 255318302, + 742906325, + 13188593, + 239626465, + 500563830, + 154979491, + 622228645, + 88528475, + 883732367, + 102230432, + 371225343, + 437314221, + 322777771, + 310265925, + 575705030, + 425779276, + 37407570, + 320350349, + 675592983, + 120139100, + 336073721, + 967362227, + 479389477, + 373576464, + 214528105, + 684809621, + 73117252, + 401728246, + 628585838, + 429562946, + 691400077, + 239461651, + 33079510, + 416929522, + 307990346, + 148355062, + 385836862, + 21993270, + 323707395, + 54230867, + 412596911, + 372979886, + 43546425, + 436452551, + 598217416, + 824073001, + 771656973, + 165006636, + 197586302, + 667042834, + 334057196, + 54960185, + 985573913, + 352255773, + 366381544, + 828736491, + 315964124, + 731340225, + 597816192, + 54173456, + 307242489, + 981869607, + 529477538, + 333543779, + 678681776, + 431986446, + 957594935, + 274522642, + 715105238, + 28794427, + 65138256, + 690066824, + 453782254, + 136173311, + 804749072, + 454073130, + 118473747, + 46643202, + 224010865, + 500031641, + 698378436, + 895636803, + 715504516, + 862777219, + 270643697, + 592770910, + 528177380, + 766582830, + 701729619, + 968109788, + 682287803, + 853035954, + 840258912, + 144811203, + 150456104, + 882087137, + 768645428, + 514332188, + 235985524, + 216547968, + 866450876, + 613073758, + 405670890, + 642175890, + 675622064, + 112551797, + 764218449, + 773474216, + 106901256, + 688242996, + 651886495, + 163678301, + 202741736, + 104273190, + 553399159, + 239455240, + 677757781, + 836169968, + 899580888, + 534633893, + 455484195, + 984037262, + 860915549, + 776324347, + 314179479, + 729847769, + 895319746, + 388116565, + 607396109, + 706585658, + 210933250, + 721296475, + 938988935, + 675925150, + 27411417, + 400129426, + 175543931, + 565538225, + 411349380, + 729076358, + 205395768, + 970043045, + 216538015, + 874914611, + 159232198, + 637960750, + 92343346, + 6125275, + 339556520, + 867185775, + 903669597, + 240849465, + 378518641, + 716811641, + 137140376, + 500286929, + 116509627, + 102396404, + 953789441, + 478043492, + 349468572, + 827078719, + 650132045, + 548386065, + 249657928, + 784289350, + 883176065, + 875473866, + 511087971, + 992808904, + 902602910, + 348186688, + 489586165, + 122216078, + 217022904, + 146886775, + 535364013, + 71667259, + 936965629, + 708139634, + 773297905, + 633253408, + 597442270, + 425404862, + 737423214, + 384278300, + 487473963, + 899086993, + 982531550, + 592740256, + 737262357, + 781015909, + 290271428, + 828133234, + 211626672, + 534344250, + 306805002, + 202048988, + 567932300, + 516249494, + 460312738, + 757281124, + 588771802, + 251938826, + 496167204, + 618220052, + 433565981, + 340154910, + 75232983, + 758184412, + 495618854, + 369834492, + 627827911, + 376876642, + 593123918, + 474041096, + 401725121, + 275413500, + 451563092, + 902170997, + 240339154, + 616834680, + 443588292, + 799057588, + 536191819, + 34009148, + 613775575, + 746886681, + 722240601, + 37772184, + 765972055, + 663959844, + 696896982, + 61379729, + 276675257, + 88233785, + 292402912, + 257465946, + 239862616, + 440377402, + 63715394, + 52404902, + 294408353, + 215618341, + 183054356, + 106784806, + 837400649, + 419876786, + 99286146, + 142745404, + 382490913, + 139390062, + 354892006, + 70651506, + 246121556, + 737308093, + 239813908, + 711253785, + 666311777, + 560776350, + 212928408, + 866454660, + 696044611, + 2386397, + 823465128, + 406493874, + 737551456, + 616100517, + 27470896, + 348397400, + 328766985, + 184823742, + 93775102, + 821164234, + 942485202, + 811473457, + 244526795, + 385315166, + 172633639, + 676495075, + 688818973, + 388784085, + 461061939, + 938448529, + 655258841, + 174208457, + 436332946, + 657400240, + 54981356, + 404583854, + 412748284, + 663464818, + 732871469, + 736298901, + 219193599, + 46259103, + 289557552, + 344594570, + 404578656, + 647824033, + 790049869, + 463404340, + 764765397, + 674085352, + 105217376, + 855703786, + 11855461, + 923245036, + 644644321, + 410518287, + 621845606, + 340544974, + 95062463, + 52787153, + 780594757, + 712241366, + 427619624, + 893032986, + 682149446, + 503870964, + 406004068, + 294550100, + 934346071, + 296310678, + 362825530, + 802791621, + 418533905, + 178001762, + 913224370, + 922326605, + 175378482, + 262134665, + 682530977, + 207979752, + 996973816, + 472767408, + 998976339, + 16861024, + 987024620, + 673834692, + 399439172, + 596692085, + 652521442, + 949657179, + 33973541, + 251392289, + 188212130, + 667242453, + 421549362, + 382898279, + 569733545, + 727561473, + 397487683, + 762806463, + 711435264, + 753501845, + 746076791, + 69601812, + 510257390, + 514519719, + 180051536, + 317091452, + 213608677, + 319291496, + 181898947, + 459640392, + 1260826, + 570243308, + 670106523, + 610077765, + 361557740, + 493450938, + 809397559, + 207329482, + 502743920, + 329817438, + 211796127, + 864415077, + 850825798, + 575765688, + 225054518, + 57236854, + 444015186, + 318381382, + 318163333, + 22866781, + 58976866, + 165719121, + 371582920, + 748308460, + 272761519, + 399649738, + 338158841, + 31759462, + 514974992, + 682757308, + 801164990, + 31712403, + 786330217, + 882478234, + 343215355, + 847390703, + 106478433, + 696097831, + 137781359, + 215306131, + 536035612, + 70301654, + 28418496, + 98422251, + 177477857, + 763525829, + 724399276, + 524161107, + 945439952, + 718285180, + 904590532, + 367484346, + 178862069, + 210981193, + 133272729, + 782829828, + 779975948, + 214082941, + 905906800, + 196735092, + 97629186, + 401998992, + 1309135, + 384495691, + 87164178, + 381524951, + 747908229, + 258613503, + 857775094, + 511528684, + 529155034, + 3892900, + 236892050, + 442061365, + 734521449, + 78687372, + 354125273, + 526388541, + 41692542, + 984642719, + 774581516, + 494317064, + 547350126, + 19123710, + 28668667, + 919392617, + 415768241, + 795092014, + 221859952, + 318476194, + 767763050, + 383711792, + 248053793, + 767953111, + 678776616, + 444295899, + 238604791, + 426653852, + 635305334, + 786463072, + 969406340, + 892890754, + 419254193, + 142386276, + 742571975, + 788142112, + 144421321, + 512684191, + 292666379, + 301968560, + 470532311, + 278627357, + 807983453, + 475754364, + 632766953, + 647670689, + 4491528, + 656977701, + 47496963, + 255040743, + 977271273, + 111199846, + 677455132, + 442130607, + 139437520, + 424242510, + 181046351, + 728666858, + 122133193, + 910629415, + 183141283, + 279640298, + 608172145, + 841857944, + 686973783, + 88067233, + 519167458, + 910920633, + 57897382, + 140788536, + 382010048, + 853053477, + 929943141, + 80619984, + 553643205, + 383716227, + 897167410, + 92838210, + 89523673, + 858121327, + 806189957, + 581510164, + 918692397, + 727764920, + 141192989, + 103057354, + 416615187, + 181052914, + 386754223, + 117283255, + 116744352, + 107876835, + 142217033, + 841565775, + 693752787, + 551172192, + 338495693, + 185057378, + 720011062, + 693028111, + 813814167, + 581516104, + 838672758, + 664026559, + 361226798, + 836210323, + 149544411, + 634203948, + 903143800, + 701236869, + 874021604, + 652868437, + 419964383, + 450438185, + 306189946, + 465132877, + 256845149, + 185496894, + 247655037, + 648621801, + 785943410, + 110058370, + 607686725, + 302930475, + 242951700, + 648814829, + 466775753, + 172626561, + 522230370, + 823959636, + 669065160, + 776533785, + 610247571, + 155600806, + 610874345, + 874257109, + 490741397, + 819928806, + 294609210, + 339870442, + 712324637, + 305617798, + 298968660, + 781174243, + 478103255, + 948648115, + 666365048, + 179723839, + 979665869, + 256856553, + 162606996, + 48696894, + 321788711, + 432609218, + 727176980, + 675769685, + 764931003, + 943587527, + 159659281, + 6454602, + 51230891, + 535837892, + 762613317, + 66616438, + 459459743, + 147258921, + 80120588, + 971179724, + 990614681, + 933426694, + 169378120, + 940226552, + 171662375, + 49009516, + 667032069, + 141368688, + 211686499, + 32338413, + 715784474, + 299696283, + 164933582, + 93188307, + 577469153, + 103301458, + 664955202, + 51871111, + 933823576, + 119570170, + 730086066, + 157270753, + 518089592, + 228469577, + 677154030, + 865893788, + 418393504, + 879193400, + 609921150, + 775778897, + 70396072, + 213992875, + 670280246, + 932929790, + 867339999, + 503231391, + 723483926, + 165778155, + 885655461, + 356115307, + 711207330, + 587949339, + 107402201, + 909424595, + 621838503, + 997099283, + 806773023, + 289567862, + 773249799, + 909858779, + 945189338, + 559637767, + 28583803, + 783455910, + 939817811, + 762386439, + 986390722, + 733684702, + 83043709, + 877762503, + 767189930, + 511853626, + 206911864, + 443358833, + 310138825, + 456865381, + 358404987, + 245365537, + 857941315, + 572549750, + 377633627, + 603974410, + 179880331, + 795842328, + 389034700, + 470890310, + 897879736, + 867420234, + 179354450, + 500695422, + 919361384, + 99066697, + 783558979, + 295688465, + 50731484, + 958099435, + 603766474, + 142873585, + 561093144, + 10847208, + 24423881, + 467551725, + 866590130, + 697376306, + 157560541, + 419727876, + 599885327, + 733899739, + 820557908, + 260973644, + 492330736, + 859575691, + 153551715, + 672540411, + 905551537, + 616352711, + 44419232, + 659751428, + 386978154, + 187257512, + 817121937, + 781910388, + 321646635, + 285721287, + 524715662, + 40607574, + 511738450, + 212605281, + 527291341, + 753557294, + 417986221, + 684551848, + 572470467, + 629213296, + 392737450, + 912038352, + 78662453, + 59768261, + 452888036, + 71881063, + 235813254, + 532081040, + 303672179, + 527081417, + 566635268, + 746077098, + 411337006, + 663455731, + 234637655, + 779011486, + 647559656, + 736685740, + 307997276, + 449164027, + 876323182, + 631850864, + 211076751, + 153459373, + 727685260, + 307532588, + 127690912, + 617386044, + 109688540, + 537460267, + 266102822, + 533340937, + 171820835, + 490430214, + 391764478, + 415224691, + 335340431, + 671662228, + 346779629, + 574377111, + 291803367, + 453652095, + 714827064, + 492617163, + 500061606, + 304313558, + 140499516, + 577419863, + 31043163, + 206933980, + 828573784, + 91846181, + 983826216, + 584191473, + 803202312, + 322601827, + 167424048, + 2096042, + 667603483, + 142146891, + 328858242, + 930779362, + 304680931, + 646749882, + 637496618, + 311705001, + 244842714, + 166433418, + 894084424, + 802708097, + 590216807, + 529963479, + 232937427, + 146764839, + 860838922, + 510905658, + 874995555, + 777591464, + 356987957, + 544699671, + 403058554, + 749148375, + 227495545, + 637849595, + 896792696, + 34423927, + 227535910, + 634224327, + 982475882, + 936318119, + 626781025, + 869759675, + 303679757, + 439774921, + 88618577, + 657113042, + 238500436, + 458566512, + 172026435, + 179615605, + 617215193, + 817952791, + 310221542, + 701897958, + 386945664, + 582446504, + 544587236, + 865957872, + 693523376, + 923629577, + 749660376, + 516430742, + 110952710, + 644496080, + 44033681, + 524499247, + 228851361, + 564774126, + 410492701, + 227772752, + 280532345, + 466869511, + 701791839, + 732060456, + 427291437, + 907642905, + 239593063, + 890225918, + 65181351, + 44790496, + 498194442, + 350420866, + 565654900, + 849339592, + 115159004, + 717812548, + 849377671, + 252442328, + 682376521, + 382530524, + 62265902, + 349581205, + 242212392, + 240025836, + 620622866, + 13011704, + 673341543, + 817784290, + 99075486, + 642668028, + 813621723, + 61884683, + 613222565, + 79836216, + 860177088, + 146641573, + 484890808, + 999595687, + 907801570, + 288948229, + 206156742, + 617044769, + 950855812, + 467721976, + 764845221, + 559345475, + 350859832, + 110492303, + 292925234, + 916811388, + 970394913, + 362409869, + 703445858, + 682368394, + 254501015, + 523796438, + 326124648, + 139073736, + 440772350, + 819098536, + 656758845, + 59740017, + 59847804, + 586103165, + 190070548, + 202460049, + 422646247, + 249542629, + 689077318, + 176916304, + 773005945, + 503739032, + 211756959, + 728282725, + 903439614, + 607993261, + 996750646, + 772747365, + 318535162, + 492718728, + 821535469, + 617315545, + 970611660, + 703314809, + 278777079, + 297654956, + 405565379, + 625892970, + 517268242, + 689253698, + 954378328, + 15500598, + 534655258, + 725198877, + 317564931, + 879592133, + 395446070, + 971703996, + 145360328, + 197639188, + 95623455, + 837029629, + 197663461, + 855103374, + 850479560, + 793249129, + 912762378, + 364650022, + 174891476, + 601233451, + 262147166, + 744097767, + 138596866, + 464278862, + 863368134, + 763382991, + 926945942, + 287059201, + 38515433, + 156211935, + 299091210, + 155618237, + 961465663, + 86877695, + 101401229, + 684628237, + 960689870, + 555511931, + 224811864, + 235119294, + 394484931, + 424030543, + 486238472, + 776983866, + 487879294, + 755999894, + 358292525, + 651724387, + 586863005, + 974925485, + 328509708, + 445730880, + 575704914, + 458864055, + 819880377, + 621208158, + 770241378, + 225739453, + 929544022, + 856074862, + 255756381, + 236576569, + 347205385, + 939852378, + 719992411, + 750365886, + 656326352, + 523852223, + 739762587, + 854833590, + 231386604, + 190599098, + 100946815, + 647535549, + 783710939, + 822113161, + 963658082, + 686559963, + 544274683, + 379595556, + 331318565, + 298261636, + 419844821, + 632229373, + 186353687, + 61969555, + 35700984, + 709192372, + 443645976, + 212005854, + 435666616, + 71371467, + 597090820, + 599043761, + 365701165, + 76614725, + 529624623, + 875546428, + 633204518, + 463785493, + 235100547, + 913535437, + 121157369, + 326249435, + 457378619, + 392009333, + 881405508, + 512033222, + 541573674, + 411389172, + 111033103, + 568033648, + 135546543, + 753494875, + 362346880, + 631372537, + 383990903, + 245792664, + 556673021, + 922450312, + 792117178, + 790231865, + 493114913, + 31718604, + 85651179, + 268759748, + 239648044, + 593030616, + 830298563, + 244754426, + 631109101, + 397216063, + 64896776, + 48760959, + 239550911, + 643525498, + 47292571, + 930386446, + 656640743, + 354112885, + 99828003, + 507327249, + 831865333, + 635655477, + 585960508, + 869365432, + 15849435, + 90255234, + 399888327, + 568108342, + 549770633, + 883937874, + 478770524, + 876586561, + 213237848, + 334869304, + 525773424, + 255227041, + 375049744, + 671586028, + 100362885, + 185916136, + 994476550, + 339595626, + 700899131, + 859804284, + 524343004, + 822349663, + 759213601, + 756901794, + 111607908, + 180801163, + 355165655, + 750314930, + 557828276, + 797896272, + 369808155, + 799170337, + 902912131, + 507294577, + 279242753, + 217696097, + 439048676, + 210351560, + 640993739, + 108409280, + 884751268, + 259241787, + 497082039, + 847427574, + 488622848, + 799326223, + 774746729, + 286907382, + 839194872, + 893523556, + 68558333, + 268040503, + 345398771, + 661143812, + 481983019, + 397598357, + 14851905, + 355984460, + 777245739, + 921121591, + 577985740, + 974383236, + 881441670, + 152720249, + 708083188, + 309248100, + 313666447, + 440322367, + 465889527, + 775512782, + 169075792, + 876180540, + 820320285, + 865008556, + 924929810, + 772013783, + 649715678, + 751577405, + 155944303, + 811114353, + 320459190, + 859098203, + 267342918, + 507370346, + 419189773, + 613287463, + 501035965, + 505344582, + 530308775, + 742656727, + 287777102, + 666375511, + 347382105, + 23619795, + 368373197, + 993802733, + 826018715, + 65570875, + 985727416, + 179391926, + 599350221, + 661732144, + 674899949, + 255738289, + 134326644, + 28233386, + 383140068, + 763428948, + 523436104, + 290337172, + 331859719, + 242761924, + 815327029, + 990712420, + 288536865, + 735168877, + 724562935, + 643366053, + 613424758, + 109468700, + 205273889, + 145547491, + 41237257, + 856039006, + 698145743, + 644570717, + 162276548, + 199244642, + 280736094, + 967846460, + 64058055, + 682364453, + 950919946, + 20757921, + 760790909, + 113613254, + 569449431, + 76500970, + 675782708, + 869827284, + 812687712, + 732203422, + 759129752, + 880702106, + 877050919, + 719465408, + 712559585, + 962860767, + 423196149, + 176520506, + 810830294, + 49355261, + 77433615, + 410630304, + 465037790, + 847434130, + 147591492, + 560644303, + 370395701, + 16763986, + 819517872, + 817295352, + 953311248, + 43939517, + 649277166, + 702455863, + 76761818, + 878595367, + 716395107, + 573124123, + 503493125, + 550559855, + 60181377, + 857416448, + 573166242, + 918201524, + 447325883, + 442424120, + 858040618, + 824822617, + 736709316, + 378247792, + 331247023, + 249333895, + 348961621, + 682840569, + 34126502, + 315700532, + 72856849, + 652810624, + 662695314, + 947654119, + 892420703, + 402734321, + 973481297, + 262645085, + 901670079, + 541369833, + 781524862, + 26287986, + 847488235, + 198506932, + 756542168, + 370540646, + 90866626, + 483428311, + 755044935, + 108660534, + 670581529, + 926586535, + 253461644, + 619838354, + 722221975, + 809142114, + 710226723, + 47801838, + 48921733, + 90289542, + 585359222, + 320841126, + 959678946, + 939928422, + 415260132, + 337139462, + 778884017, + 224999621, + 5828161, + 900130472, + 747171630, + 794726081, + 378447249, + 294773686, + 512867789, + 9273730, + 450387647, + 763864885, + 80587959, + 667725713, + 822014127, + 427072318, + 863768187, + 993261796, + 679157876, + 558856011, + 224816823, + 243350180, + 412828452, + 455492471, + 806431699, + 462747535, + 38591367, + 587570040, + 825428805, + 465856749, + 459827856, + 727915347, + 87354187, + 809716835, + 25101241, + 544602493, + 318224914, + 185851343, + 882216779, + 695197120, + 388711205, + 75664101, + 677307818, + 717934588, + 542040860, + 694102242, + 825588608, + 610350976, + 167892085, + 534065796, + 408024754, + 658132654, + 369180727, + 990904808, + 334322104, + 393648665, + 774536392, + 365547423, + 662911796, + 373977922, + 238428683, + 547340419, + 787522244, + 381847907, + 148828060, + 239365182, + 900599044, + 577241780, + 666355672, + 643514845, + 104932402, + 965227386, + 627858291, + 635100599, + 710388632, + 247094330, + 144999007, + 496165340, + 75509098, + 393807454, + 489425162, + 492335193, + 373906443, + 849679382, + 978272287, + 82736088, + 697330226, + 533745636, + 624676015, + 268060357, + 259953855, + 438424658, + 21794482, + 33054202, + 861855384, + 746464529, + 396787019, + 277967004, + 827301024, + 468583961, + 817621180, + 304518586, + 584453155, + 337661710, + 70782571, + 995277741, + 844042172, + 749043641, + 177584711, + 275638128, + 820097884, + 263141088, + 963282371, + 223003411, + 460135221, + 530262740, + 729843152, + 277998800, + 441076884, + 434746678, + 627754166, + 31746587, + 355810291, + 272881078, + 238088808, + 434244785, + 440114008, + 474891191, + 278651577, + 632522426, + 90966191, + 567574506, + 835345810, + 634067863, + 89013316, + 841054204, + 300284974, + 12610450, + 54347857, + 335295604, + 955177984, + 60477382, + 738094173, + 8511592, + 267861202, + 568977949, + 782555886, + 813391362, + 622612687, + 34989910, + 900373451, + 930477132, + 744325536, + 27312717, + 110180198, + 452631930, + 625506622, + 884880932, + 669532860, + 991636922, + 864843772, + 865989710, + 302575388, + 819427561, + 39471331, + 171181881, + 963774660, + 958808352, + 559166975, + 809704743, + 406297510, + 48113105, + 10709460, + 37010998, + 808202679, + 372122308, + 18479159, + 47009610, + 414332774, + 51326073, + 484734100, + 416589416, + 805591882, + 692526210, + 813031245, + 789646275, + 892042591, + 938671398, + 732169101, + 465388741, + 543745275, + 65133168, + 62591848, + 887854502, + 965040958, + 213207638, + 659192885, + 815769308, + 643823515, + 889420891, + 138071985, + 941365128, + 176788381, + 946379950, + 16047902, + 646476826, + 379397383, + 170442602, + 771977719, + 815374649, + 323978153, + 486775828, + 760120380, + 969888376, + 771351304, + 200034070, + 975946002, + 414607430, + 696603478, + 736815330, + 631270672, + 491285422, + 672845324, + 690727359, + 575962458, + 841257354, + 938029154, + 502302573, + 47232312, + 849863841, + 97838212, + 503280957, + 836163247, + 336434150, + 670244886, + 231896633, + 930160990, + 811628524, + 455847351, + 298023294, + 310603334, + 396591345, + 114964124, + 433665735, + 191230677, + 734323251, + 825390858, + 842163168, + 635309758, + 210995664, + 171587067, + 687015715, + 111284748, + 145450521, + 395142051, + 621308774, + 934282032, + 394444932, + 947714979, + 566851314, + 331922541, + 192902103, + 35791284, + 942480562, + 722420988, + 189556766, + 132076627, + 460104497, + 774001110, + 798699792, + 346116223, + 500916115, + 475288466, + 911097845, + 406483956, + 398658213, + 940532410, + 369806543, + 607122474, + 863056409, + 776579987, + 668633247, + 173951958, + 746416023, + 852179098, + 884037426, + 41365597, + 875984112, + 981283089, + 394440043, + 110774421, + 653138996, + 915960716, + 171668305, + 29963977, + 778895672, + 869732510, + 83802934, + 457788176, + 943793413, + 278652132, + 22547710, + 632846888, + 327104047, + 61550435, + 240639486, + 809010043, + 515833625, + 219418196, + 230817224, + 661068976, + 837693310, + 105593796, + 682402239, + 252588509, + 606700140, + 450173431, + 468254417, + 478214465, + 161762799, + 333110613, + 876218307, + 640643801, + 968597920, + 492197706, + 735661350, + 960366346, + 613691437, + 228251188, + 831508878, + 117916025, + 93533982, + 890022696, + 248091678, + 488794655, + 240425219, + 229377606, + 787858458, + 337893355, + 579380439, + 135783476, + 124602981, + 378632906, + 554130256, + 306768669, + 53783203, + 248977175, + 25765309, + 273199936, + 769878755, + 381228679, + 82585866, + 13617401, + 48870250, + 623873106, + 172152084, + 794071683, + 906878694, + 596748018, + 340145711, + 51965141, + 748805967, + 29156173, + 156147080, + 466790759, + 326076328, + 750454984, + 628749592, + 805109512, + 128600432, + 87966224, + 556839365, + 714403006, + 476090948, + 325629474, + 874923740, + 754402904, + 330451074, + 840238478, + 230906879, + 121475924, + 22965396, + 318075684, + 139188312, + 134264620, + 962145037, + 810889333, + 999664717, + 495080238, + 380901160, + 14873888, + 844091738, + 12862184, + 176619219, + 358981385, + 202898398, + 314402497, + 280053892, + 918573112, + 937847769, + 146223422, + 905932530, + 254275309, + 465507241, + 583122162, + 412243882, + 535897676, + 979382090, + 188178283, + 546805327, + 980214939, + 677814102, + 805712305, + 251127143, + 873380065, + 425051550, + 929577324, + 449732242, + 414215658, + 115044560, + 209876386, + 983409653, + 157379717, + 415835435, + 182908938, + 419398139, + 171712634, + 639996498, + 779694343, + 413640533, + 719274956, + 435572318, + 916374460, + 592004688, + 746016066, + 985593665, + 183631920, + 459183159, + 684687028, + 865211783, + 363600925, + 341962094, + 437916009, + 295570993, + 926107576, + 702417742, + 332416185, + 853882631, + 696826478, + 635460395, + 919071685, + 288646534, + 579354045, + 493160563, + 703312815, + 563978530, + 362378436, + 455059566, + 302123239, + 551908220, + 581667454, + 121575625, + 677534337, + 369133681, + 97595996, + 768201903, + 400981769, + 932529968, + 677293794, + 992633022, + 650370266, + 265148569, + 859426669, + 839354843, + 307627803, + 383460864, + 195024268, + 75746305, + 788604383, + 434760907, + 209011696, + 154469806, + 288755805, + 429675873, + 590961118, + 976458141, + 517323041, + 992718700, + 252229161, + 480217481, + 22125964, + 328789567, + 611381297, + 511464002, + 450070164, + 102743149, + 84752319, + 102244397, + 909310761, + 70008260, + 726386628, + 8930065, + 809871151, + 415585470, + 934913727, + 191958874, + 323248104, + 250978464, + 828021491, + 955543966, + 806336125, + 782671787, + 814955936, + 224400113, + 740951951, + 893960378, + 963295724, + 478265924, + 187061102, + 640161733, + 516404532, + 541058852, + 107848943, + 88114010, + 903817202, + 776233101, + 99840255, + 15608283, + 823116246, + 727334144, + 776890412, + 414235309, + 284441588, + 827200010, + 8132541, + 1889149, + 313667458, + 663189209, + 731617268, + 868620554, + 553235324, + 278789546, + 104092994, + 189171485, + 992326918, + 295901567, + 979438423, + 575050379, + 253063158, + 815363083, + 123344178, + 594457935, + 914614830, + 628643890, + 968033151, + 429977686, + 575629983, + 237016481, + 420699111, + 90897153, + 989112663, + 622833562, + 497179019, + 643348292, + 802549704, + 453581788, + 189754165, + 349378299, + 571022588, + 367795146, + 599289419, + 686045601, + 580445975, + 231810700, + 67499522, + 595151602, + 833188096, + 849750938, + 298555496, + 215346700, + 761609014, + 823593509, + 705517136, + 323903516, + 527240214, + 535306500, + 580828105, + 531704427, + 168741436, + 850727776, + 331341569, + 585529251, + 170366334, + 86885736, + 673818317, + 168381788, + 652711355, + 204457981, + 520665726, + 270132391, + 766426995, + 971752155, + 507965075, + 298505121, + 690588185, + 44893863, + 932180021, + 653891284, + 369714035, + 572055565, + 345046505, + 813294993, + 788544867, + 620600064, + 733164805, + 139100851, + 966658376, + 293486511, + 525889037, + 935850133, + 299837452, + 133328064, + 38129194, + 478473373, + 35718017, + 948656518, + 650546962, + 510618201, + 440715660, + 884081662, + 315634878, + 460559751, + 366779061, + 704891858, + 794507884, + 309268955, + 509785984, + 839508331, + 348283666, + 293135542, + 604514839, + 817973677, + 714137296, + 960947804, + 46896418, + 22815135, + 614007247, + 295215873, + 6553938, + 517592421, + 542961791, + 317706935, + 845829861, + 619555212, + 464621881, + 402428848, + 69976301, + 202046623, + 564333294, + 332875760, + 14349164, + 908217652, + 114482922, + 50644432, + 218468915, + 791072235, + 448936181, + 584102390, + 174907776, + 436932146, + 194480567, + 917050378, + 134572969, + 367556337, + 244807059, + 909384604, + 368422838, + 841274505, + 702549276, + 761429137, + 215890965, + 411155465, + 721025600, + 735862980, + 770999425, + 754033919, + 870893538, + 556338620, + 278482083, + 752619169, + 444164650, + 854908003, + 598160708, + 667743708, + 729061515, + 989516901, + 825014768, + 921826819, + 799516822, + 812762698, + 214852986, + 620461900, + 869971667, + 662550409, + 577601286, + 336553383, + 839485361, + 617432516, + 827842993, + 633417342, + 354043727, + 670684396, + 63399594, + 661221843, + 175229187, + 83227990, + 650533811, + 295058707, + 796178499, + 154628718, + 873940848, + 889669929, + 772156321, + 897849045, + 31072958, + 878202628, + 350649092, + 27219624, + 181442155, + 848564823, + 489020160, + 218236804, + 883255437, + 800860271, + 525491312, + 599127262, + 902281259, + 405505168, + 42440692, + 340349524, + 601324565, + 395325789, + 68807301, + 229902452, + 872821805, + 341466201, + 16782445, + 49039866, + 960849375, + 62863235, + 591622128, + 795029532, + 739343348, + 63929144, + 276857275, + 997366843, + 83691421, + 88778132, + 941994078, + 361866967, + 423881130, + 237844290, + 678136033, + 957956017, + 611920934, + 918376654, + 904777732, + 20643010, + 701319938, + 242547366, + 614777907, + 559886872, + 381989125, + 683007201, + 54931969, + 993550747, + 625221727, + 812857531, + 83404540, + 706248888, + 760983237, + 974612160, + 500892444, + 723762396, + 393866907, + 337348882, + 955323514, + 999887525, + 140610140, + 420939709, + 801493926, + 136797408, + 547288414, + 734862798, + 985868293, + 886074080, + 86804592, + 410548738, + 792420786, + 114031742, + 719713081, + 757688703, + 475701821, + 368000951, + 581600583, + 76427658, + 955542578, + 505260987, + 572679556, + 1880081, + 955556056, + 625376097, + 357894472, + 100083258, + 361606809, + 281049806, + 385207071, + 473386094, + 485047466, + 155065676, + 458386627, + 295315776, + 230675754, + 949889955, + 76786339, + 714091557, + 851411350, + 157778460, + 246714929, + 190238933, + 705872446, + 678418043, + 875475253, + 948466698, + 841658047, + 993921990, + 143555326, + 389150691, + 332877812, + 18852856, + 412433860, + 967299083, + 44750778, + 441158818, + 682124971, + 323863273, + 411541626, + 597871306, + 149789263, + 56592961, + 457347271, + 361838030, + 597095221, + 911072886, + 943395909, + 595285032, + 15750916, + 208770221, + 379118132, + 137618471, + 326374187, + 997899394, + 247680269, + 269959485, + 787599564, + 562933582, + 959437074, + 570072262, + 716316951, + 582905787, + 260564454, + 356738771, + 233006062, + 443432538, + 555501732, + 316270890, + 458239566, + 703141615, + 352860678, + 531494454, + 694035889, + 688264144, + 707904865, + 971067318, + 506658965, + 140225879, + 563967039, + 382010243, + 27977662, + 42080293, + 46642449, + 143270409, + 494175467, + 93526500, + 662947735, + 912026465, + 807241989, + 347369665, + 642981916, + 989785125, + 652421633, + 775846074, + 865164585, + 500349694, + 104237840, + 91353990, + 36012196, + 147126290, + 65277588, + 655913818, + 350265093, + 311685281, + 585786496, + 414146170, + 963762506, + 686782687, + 870675617, + 774684683, + 217113329, + 668055898, + 567630772, + 917569731, + 93711244, + 640135174, + 978819037, + 408094212, + 426149422, + 967013731, + 740091464, + 269010180, + 938934236, + 800711052, + 315738085, + 895349402, + 575618809, + 202123651, + 810145307, + 312032375, + 613818651, + 343931181, + 399766007, + 956253314, + 187301877, + 784577875, + 570297697, + 294458739, + 188845270, + 645898151, + 741508067, + 994600469, + 21782098, + 580005946, + 980804918, + 643865319, + 801837394, + 564809058, + 81157706, + 585254458, + 459675257, + 223000974, + 742580424, + 765034978, + 744955354, + 951826943, + 749408749, + 813941756, + 191975918, + 488962071, + 8575810, + 567578883, + 678698983, + 147537963, + 145693312, + 71319377, + 100585756, + 126139422, + 150491861, + 868090359, + 281864217, + 746107900, + 704423641, + 650130288, + 721724918, + 498108211, + 259540353, + 528022336, + 22497318, + 37906951, + 778244897, + 303663049, + 898906997, + 249538581, + 563920856, + 121627774, + 476030136, + 50148918, + 618722700, + 574042139, + 389349113, + 71006430, + 116703301, + 568998388, + 884217382, + 278715399, + 932335224, + 275233138, + 852181515, + 583431310, + 602060669, + 166493373, + 277012698, + 805021754, + 721232478, + 555316115, + 813125580, + 402050049, + 217839946, + 906029111, + 415074046, + 446585827, + 586970903, + 573219164, + 661332828, + 66525060, + 687233014, + 932110565, + 438159, + 572057460, + 157768071, + 715950248, + 507845526, + 627453463, + 883032957, + 504393184, + 197050393, + 891718758, + 194165892, + 432186948, + 733280707, + 404068614, + 1709172, + 860764399, + 5148366, + 724848856, + 734607491, + 677215036, + 322677671, + 143301455, + 90068959, + 641733304, + 807403052, + 398857762, + 624219676, + 796029024, + 208134324, + 582333135, + 590090010, + 896222722, + 994323405, + 275101997, + 868055698, + 199216492, + 152714980, + 944940648, + 752500951, + 176024901, + 261127988, + 361100049, + 176721081, + 344531376, + 72866967, + 59296316, + 988325511, + 91347430, + 433535541, + 869624796, + 497005482, + 62165488, + 213090133, + 127742951, + 527632049, + 50538673, + 910700888, + 649340341, + 945618343, + 525949178, + 919305152, + 551879330, + 492339898, + 368291375, + 113453513, + 629845817, + 258737092, + 72015780, + 813048674, + 384847827, + 23396161, + 985045371, + 846730716, + 377279147, + 262696200, + 290861828, + 602716889, + 604686755, + 736329737, + 717607998, + 973522918, + 281881968, + 716734203, + 105866459, + 839198353, + 81672533, + 570282821, + 805430656, + 325037959, + 14187227, + 636356941, + 939909676, + 295049569, + 438595025, + 199027317, + 126128725, + 510159863, + 312386971, + 257783723, + 33732381, + 805850386, + 573626254, + 203776569, + 909440655, + 973242220, + 870969879, + 280282376, + 576880465, + 376119086, + 607126586, + 54262542, + 785085271, + 671710792, + 308168229, + 699380014, + 626675748, + 996569460, + 893021990, + 973709731, + 493491601, + 159451285, + 162121314, + 143065036, + 464106217, + 259770187, + 959788837, + 679426080, + 788593101, + 521865319, + 462017685, + 639349137, + 644025213, + 10841013, + 925722184, + 395650458, + 107482552, + 205016125, + 973498906, + 781451695, + 165640182, + 324843967, + 924438777, + 183684052, + 587627572, + 246648644, + 576881121, + 79248821, + 192340389, + 779505505, + 737282734, + 960934187, + 181418593, + 832800321, + 391633124, + 596178494, + 309331068, + 246865783, + 932125576, + 927623955, + 667262585, + 1935841, + 456825319, + 192409714, + 110998672, + 245940518, + 443528644, + 681480540, + 598964852, + 370996190, + 272786700, + 58925569, + 688634194, + 812216049, + 532014023, + 942529502, + 240922132, + 137107567, + 173879911, + 690740091, + 145897827, + 987647783, + 435726355, + 132149188, + 804474410, + 419656634, + 898808858, + 320209035, + 821279425, + 240594847, + 444091537, + 159295033, + 350917217, + 723692159, + 918636128, + 690419236, + 353652549, + 519620739, + 807114831, + 757392663, + 196080064, + 544606576, + 126515777, + 465990018, + 304474011, + 388560024, + 553316265, + 78027007, + 459795656, + 252604593, + 569992563, + 465238944, + 853333860, + 193158107, + 212910653, + 885692515, + 504832220, + 106743877, + 889581021, + 364480740, + 3996190, + 458682497, + 376144421, + 807686633, + 469566097, + 632641717, + 590175602, + 324135810, + 121245160, + 918570161, + 229411798, + 577782715, + 983851497, + 755405130, + 630252776, + 12762252, + 390752330, + 168384363, + 812946448, + 558129043, + 622407966, + 148773249, + 69918728, + 524456702, + 146833132, + 819322093, + 170734357, + 311386339, + 390524893, + 678097498, + 859895242, + 149416892, + 36353569, + 398487397, + 636028455, + 461815336, + 784322596, + 613049692, + 727065957, + 62155657, + 871366035, + 580729855, + 221007468, + 376468400, + 828508807, + 30924235, + 251558176, + 731288469, + 694781288, + 73575474, + 193301905, + 598982886, + 565993529, + 318918372, + 486052832, + 135326268, + 633413403, + 814663261, + 230272333, + 920355688, + 460187934, + 185961359, + 321577692, + 21440156, + 111500140, + 37925321, + 781545171, + 576631925, + 109973668, + 536320995, + 22991234, + 777735744, + 503260722, + 362489484, + 129486993, + 438981907, + 493588937, + 628752524, + 243774361, + 62233331, + 957934411, + 178400013, + 997910131, + 924233089, + 6483827, + 387132442, + 706170500, + 296965348, + 941686106, + 774729626, + 505767628, + 672896118, + 537684855, + 512534858, + 258578604, + 538505609, + 906187124, + 218675954, + 575185832, + 756832772, + 671679194, + 285244713, + 416762208, + 742588745, + 707485219, + 410995085, + 16294995, + 639014325, + 709768977, + 987952736, + 30573038, + 691502938, + 232605205, + 648337369, + 128192503, + 929754459, + 74437226, + 316256119, + 252282840, + 659007314, + 752308051, + 941171282, + 253174528, + 464557180, + 274505891, + 345749670, + 290786504, + 651057404, + 651129293, + 84456330, + 606604760, + 44245741, + 83004648, + 149714901, + 212252324, + 23778305, + 431830116, + 91657540, + 946206470, + 954467713, + 873042990, + 715112730, + 759646576, + 841550970, + 809286308, + 228681604, + 275804629, + 478733442, + 735192797, + 657912376, + 319694632, + 225719301, + 792653703, + 638504206, + 14297761, + 793634122, + 999856267, + 7295995, + 806441945, + 752093076, + 336579929, + 688390144, + 418641422, + 722039112, + 801301997, + 971963094, + 414506591, + 521653166, + 184661365, + 154274462, + 143616134, + 116437389, + 649754795, + 355110959, + 2336542, + 512729787, + 530223661, + 536755995, + 773648073, + 463228243, + 626516806, + 717320137, + 787020568, + 389407301, + 444480506, + 814241993, + 987824013, + 854698579, + 760319849, + 831379428, + 515023388, + 426910952, + 277410256, + 386639791, + 61762587, + 861858869, + 980406759, + 807273305, + 694295377, + 744678716, + 636884098, + 684485816, + 578253501, + 161734734, + 237612955, + 256495268, + 310007263, + 762669279, + 31158012, + 974624785, + 20335412, + 526839655, + 73937357, + 177108889, + 287756333, + 793705499, + 597664209, + 691673205, + 197594617, + 462833046, + 320413248, + 340360621, + 230961078, + 464616329, + 766510947, + 769414221, + 569201388, + 736161203, + 900139588, + 958139010, + 888177993, + 525240454, + 229181186, + 592276588, + 363943864, + 316162159, + 683931078, + 346002519, + 370905085, + 199950519, + 944452918, + 786885740, + 415684506, + 145763796, + 191112048, + 676409251, + 337693099, + 283690484, + 16860168, + 608170365, + 985843515, + 485053591, + 148815573, + 644965945, + 512367112, + 620707801, + 593330275, + 146627513, + 134444288, + 686678858, + 62044510, + 666205908, + 958236429, + 41813797, + 492003065, + 424357713, + 906671434, + 746858007, + 55437609, + 445560292, + 709702398, + 74662063, + 191868486, + 889088930, + 545752488, + 506046187, + 669999823, + 202678655, + 57770031, + 730789328, + 723877858, + 237151232, + 537466581, + 14890076, + 913492945, + 526567672, + 978781191, + 28731026, + 256739534, + 832077002, + 706988456, + 654643834, + 124196213, + 617960730, + 783859637, + 925202917, + 259631387, + 866529567, + 736091111, + 185807404, + 485144014, + 58240898, + 521997172, + 96345976, + 875687815, + 452905811, + 692339728, + 1771392, + 306519447, + 273341419, + 874438585, + 471810764, + 537304038, + 266473462, + 585984650, + 613506419, + 512757869, + 241809614, + 421696409, + 324906227, + 587524199, + 141781920, + 160374296, + 160160619, + 308425831, + 26382883, + 602287959, + 235907456, + 868698634, + 127562550, + 168180296, + 390659128, + 155719244, + 225084612, + 543438055, + 767575402, + 604074972, + 216167916, + 942169591, + 174410045, + 61258936, + 687834747, + 303028272, + 671719175, + 281520829, + 535122722, + 418069513, + 467795411, + 836074608, + 932508796, + 614831178, + 638773558, + 895154567, + 298796357, + 622102451, + 88026062, + 64351753, + 571786206, + 368723945, + 749972366, + 804193204, + 33913062, + 513492667, + 653923765, + 793019029, + 680271540, + 84130108, + 187814673, + 345529235, + 486224776, + 68731105, + 534140844, + 93253577, + 350076926, + 837609825, + 594168797, + 355100458, + 330673214, + 568533015, + 297150888, + 908244979, + 285042117, + 848918537, + 190453671, + 350886286, + 136752253, + 727367905, + 848029823, + 634862148, + 892317080, + 464019027, + 500164973, + 834681333, + 732794144, + 763293064, + 722790909, + 59178612, + 165797595, + 408452116, + 130127591, + 200712973, + 642207046, + 872838913, + 494083354, + 776866346, + 181431839, + 617175622, + 400063647, + 968376480, + 509540086, + 83677139, + 458022179, + 484906370, + 653969303, + 914071878, + 133779426, + 908347670, + 157763730, + 336848052, + 118493809, + 769251885, + 712149232, + 730857150, + 390060997, + 414844005, + 897182622, + 509721337, + 378800592, + 500861772, + 438177011, + 46143200, + 925185854, + 649832118, + 248885133, + 159952500, + 737986818, + 594191365, + 505426825, + 898318960, + 536327995, + 789402176, + 581792550, + 332124362, + 613778045, + 266511109, + 412227397, + 601296740, + 589656655, + 219824325, + 240955817, + 991811079, + 566556091, + 448157401, + 254373426, + 959457873, + 524632311, + 325831673, + 346989868, + 488127763, + 976362851, + 441426880, + 373684292, + 517657835, + 697642739, + 376149252, + 664769264, + 213623883, + 883137710, + 552871739, + 586310270, + 565728301, + 805888194, + 538524453, + 888855094, + 788923625, + 250342251, + 15554433, + 465127779, + 871284977, + 480705394, + 842158178, + 671177222, + 516751731, + 373904364, + 311402506, + 780863322, + 458951854, + 971987421, + 453400163, + 146258295, + 254512205, + 370801995, + 755632722, + 755268142, + 774311182, + 566118035, + 519831301, + 822280599, + 75265589, + 845306049, + 255676800, + 556185937, + 612223842, + 588132955, + 690155632, + 150153575, + 27365200, + 315501983, + 725494863, + 59688761, + 600731531, + 692738880, + 802134567, + 391695295, + 172204672, + 475920284, + 827798885, + 409626969, + 715158804, + 149377727, + 331701974, + 597707005, + 5247636, + 702756760, + 519366914, + 668375974, + 182611525, + 948871606, + 976018906, + 967624984, + 689576711, + 457036964, + 89951903, + 823169773, + 132151349, + 743808207, + 191836130, + 532602795, + 90224748, + 599485015, + 124676649, + 278875244, + 599353127, + 870196732, + 908953516, + 202409704, + 312286198, + 420904776, + 359559687, + 205815286, + 444560053, + 549239063, + 147397210, + 17841422, + 218889978, + 842416015, + 497001114, + 723684238, + 95982422, + 8354017, + 514857908, + 636479688, + 612469165, + 692897717, + 365339805, + 360766864, + 267620755, + 734619844, + 735559411, + 410579136, + 249729923, + 175592664, + 889901648, + 472999620, + 851916723, + 721417037, + 389429806, + 54701227, + 829194423, + 742634766, + 612228605, + 298022503, + 634934126, + 582026413, + 234059157, + 49143156, + 454945832, + 382010785, + 429387857, + 230909354, + 655987640, + 327249246, + 540871731, + 985921911, + 253140794, + 920993632, + 613281847, + 576507344, + 352689696, + 160461992, + 889968354, + 487757697, + 612247143, + 390425795, + 641629984, + 600053079, + 673930306, + 410703647, + 788728718, + 524537597, + 247649967, + 707337496, + 174862991, + 263042568, + 877392734, + 921069759, + 529346212, + 798915350, + 905481733, + 332237332, + 41367280, + 734154323, + 788562583, + 416605508, + 589307751, + 661464935, + 890557166, + 4511581, + 182285219, + 411477560, + 464238404, + 375885763, + 710261732, + 438379274, + 213379163, + 840697802, + 298464897, + 583244265, + 856923728, + 607586512, + 203371691, + 63326311, + 314013626, + 868707774, + 952768120, + 381495488, + 227485859, + 753066815, + 877136745, + 24527367, + 310793455, + 156643423, + 81496687, + 771116326, + 492208002, + 513928635, + 364780306, + 798371846, + 366701245, + 539502986, + 324952141, + 194318502, + 810024194, + 394688006, + 862002165, + 791724752, + 488094998, + 4829209, + 887703245, + 134001726, + 213105485, + 304472952, + 365448652, + 821397809, + 243153278, + 890320934, + 719790091, + 295124973, + 348698912, + 97616234, + 830926388, + 870288045, + 601695075, + 944298204, + 2838524, + 58908133, + 306986918, + 996958935, + 265965394, + 835917535, + 87053197, + 360689714, + 873550770, + 98244563, + 981073979, + 701178289, + 775269899, + 461170862, + 776601819, + 836875644, + 84501465, + 719309232, + 332997101, + 611187862, + 137713876, + 206373938, + 850807769, + 178821812, + 264356103, + 98756345, + 131557329, + 433256711, + 312645399, + 80722125, + 279563077, + 576283301, + 618776306, + 648932114, + 183614756, + 571400002, + 322743438, + 402602329, + 502626556, + 86139102, + 16161485, + 133570512, + 855547929, + 631143158, + 725692022, + 212656733, + 739997988, + 875671298, + 961845591, + 906236791, + 97475956, + 519962358, + 221492850, + 39077844, + 119927089, + 484980968, + 880102060, + 526694905, + 127415747, + 897990930, + 501479682, + 27108898, + 207915205, + 282188993, + 846864650, + 445028351, + 377473055, + 891656144, + 468587632, + 817853499, + 964649186, + 83106895, + 610305391, + 71153501, + 922296616, + 631101094, + 651190324, + 190683674, + 995320864, + 739628743, + 705201714, + 379940709, + 92103366, + 360756610, + 417820404, + 516340298, + 812084621, + 450320941, + 958094100, + 426293261, + 989640267, + 518635420, + 344699896, + 217447693, + 364745159, + 823806256, + 514192650, + 599952515, + 179181541, + 839878930, + 189673100, + 10138778, + 464349919, + 238118280, + 544098974, + 161076383, + 608530744, + 988766717, + 787230487, + 187568018, + 788824346, + 592357387, + 870697567, + 326890649, + 203257174, + 840256502, + 420949778, + 65366324, + 18726784, + 538326910, + 127679756, + 121538426, + 676906267, + 152545856, + 730434149, + 673412366, + 229439742, + 340784897, + 836369040, + 444345334, + 414677870, + 561864495, + 750548128, + 45609383, + 41785322, + 937259288, + 844234060, + 55150590, + 334392896, + 730783083, + 295413139, + 102335884, + 207855526, + 264925758, + 649663928, + 479669231, + 518615215, + 176023566, + 402360127, + 548716438, + 419252197, + 127926036, + 725260335, + 860197855, + 382857026, + 19639238, + 875856319, + 930779118, + 556414216, + 294932608, + 767699470, + 715449833, + 947883629, + 779601017, + 980240690, + 655549797, + 204653543, + 584282038, + 100641757, + 173763809, + 715456322, + 397364756, + 184826948, + 285014919, + 193382889, + 857400879, + 403905887, + 652621619, + 933204725, + 497984193, + 375444510, + 773673722, + 571061782, + 639583485, + 81699934, + 95135494, + 535660654, + 867799407, + 899579264, + 277731882, + 891329600, + 932191948, + 78492934, + 845151810, + 155779450, + 196877912, + 724512259, + 832356582, + 738508195, + 277214997, + 64245370, + 183583929, + 33876711, + 587429397, + 821827741, + 459688744, + 536406323, + 281989382, + 26579463, + 902706730, + 767072482, + 163220933, + 366291606, + 77350376, + 371376936, + 684407032, + 92393654, + 882910882, + 959733119, + 964108314, + 129151454, + 120526849, + 864344647, + 597559025, + 2325089, + 528440978, + 405090366, + 698506819, + 508913741, + 880615144, + 560685357, + 447772076, + 841567562, + 528725059, + 865560795, + 359553110, + 56021873, + 225357088, + 140291257, + 66847947, + 582490779, + 63002829, + 271735944, + 514623948, + 519994549, + 894584907, + 231692245, + 518207131, + 889452865, + 148612524, + 856397488, + 556795537, + 973110387, + 270452570, + 27763201, + 918759212, + 485407663, + 537493362, + 920441521, + 927490951, + 371545223, + 840692055, + 492771006, + 803319982, + 161983317, + 571360634, + 673468603, + 736500827, + 19252079, + 99448104, + 855213456, + 684564928, + 208908833, + 169054256, + 309713554, + 936524882, + 936306717, + 173402544, + 802764769, + 684710843, + 55940702, + 990981232, + 14743186, + 23804486, + 499858268, + 57658474, + 333827928, + 557042438, + 957177321, + 765709101, + 64625784, + 847048000, + 816237086, + 302287655, + 885824095, + 896512056, + 323788104, + 36801912, + 365999286, + 745809261, + 295286055, + 371469877, + 655138859, + 181136929, + 410408326, + 754072177, + 892759739, + 9258495, + 507025679, + 729219919, + 238162985, + 974515700, + 636349799, + 36516011, + 35342115, + 500263894, + 461161449, + 139617791, + 998678857, + 337309190, + 337207014, + 8936616, + 251149063, + 442499058, + 441474055, + 85232778, + 820300485, + 729749047, + 94376453, + 125392103, + 425927842, + 93901954, + 176269209, + 415651264, + 250430247, + 122995152, + 327453157, + 252353904, + 717465821, + 627284531, + 878329112, + 83803592, + 94168037, + 938606031, + 353051810, + 543473928, + 725664113, + 205119137, + 461206966, + 456061460, + 375712170, + 670920333, + 403768884, + 608547114, + 467454605, + 113911885, + 647829358, + 69553203, + 399929076, + 977306098, + 879676986, + 29663927, + 880786007, + 713338776, + 129252590, + 2343793, + 138156540, + 521683851, + 489163101, + 894693981, + 535880491, + 429176001, + 864551759, + 559788534, + 256521528, + 972789700, + 981526272, + 667176545, + 499093633, + 130483252, + 610365345, + 666603083, + 884360963, + 673800212, + 653891098, + 435858848, + 214693735, + 249857604, + 41880834, + 854961773, + 425792374, + 263744462, + 69883056, + 864997978, + 235915575, + 874596987, + 549091674, + 73304342, + 480723689, + 934868056, + 700955024, + 842975461, + 656222499, + 489448846, + 651538463, + 610823701, + 111129487, + 930800426, + 690327670, + 471745287, + 787206015, + 171428460, + 276035870, + 823029622, + 309923914, + 910562892, + 214198661, + 194327125, + 395743316, + 294379922, + 520906223, + 41032589, + 98218936, + 183741072, + 692202828, + 404112154, + 361639487, + 919320628, + 402439405, + 440721501, + 903573892, + 998817898, + 931605854, + 583214122, + 235966550, + 703982598, + 692249827, + 451466118, + 19361831, + 423975098, + 244150373, + 898341039, + 225080841, + 443372008, + 5717787, + 39866530, + 805269137, + 445693501, + 379876676, + 919449617, + 992499986, + 173441897, + 903387139, + 839815970, + 714931906, + 928994965, + 72628924, + 640827115, + 402479941, + 260679674, + 45393352, + 724852247, + 373421945, + 895245659, + 668790237, + 476946160, + 576595537, + 618347943, + 51402887, + 223027424, + 821775490, + 618786999, + 39343872, + 388046565, + 587697251, + 82791816, + 226139118, + 710467798, + 720339492, + 72871237, + 256676182, + 923763350, + 970788003, + 593769184, + 619722326, + 85928439, + 986679131, + 343631991, + 523991643, + 282431765, + 491777352, + 856026124, + 689182188, + 712075240, + 909245841, + 407715189, + 543192090, + 195174081, + 358921289, + 256344001, + 848282376, + 704523246, + 839970445, + 435693776, + 131523028, + 47099300, + 377334804, + 13188979, + 374952454, + 696557433, + 660665833, + 810875565, + 706024573, + 125603141, + 260320524, + 456905514, + 649860205, + 63730584, + 499317530, + 579584292, + 310610305, + 675344924, + 29875350, + 518513977, + 489775140, + 343736924, + 398112995, + 417612318, + 670960891, + 352924219, + 536346597, + 723176813, + 581803731, + 95290714, + 443898974, + 932443991, + 606593824, + 589070057, + 12883098, + 9997912, + 969976834, + 591834126, + 539952778, + 635371460, + 552595130, + 938250591, + 157858650, + 877926464, + 704961236, + 600713088, + 249359122, + 347269494, + 357328560, + 630070548, + 585674060, + 93181009, + 305052703, + 480386090, + 312226164, + 150983080, + 213256738, + 663406884, + 13250122, + 748409109, + 223313651, + 835224313, + 509733495, + 533432454, + 904453904, + 287208613, + 652021505, + 127689201, + 902488867, + 796208028, + 901661034, + 451022754, + 640528916, + 869093012, + 677023367, + 376311315, + 289612822, + 699644561, + 587632458, + 880794543, + 570372608, + 842345585, + 433269712, + 75391473, + 154370509, + 977954268, + 259749715, + 329605221, + 54975581, + 979949685, + 962681629, + 722931629, + 698990709, + 659803294, + 410876451, + 236991610, + 286108964, + 988015968, + 579263550, + 600198469, + 352233925, + 619791351, + 809497313, + 723268530, + 667205986, + 505574561, + 422395968, + 473678343, + 2618772, + 111496407, + 898333899, + 938645154, + 722728083, + 88617753, + 358866608, + 174356375, + 523359374, + 682314968, + 812736650, + 382136656, + 835251463, + 372185700, + 227853714, + 193053339, + 515934976, + 69732367, + 301617296, + 572385545, + 401575989, + 2294265, + 737486292, + 484491830, + 521036527, + 675304381, + 194831501, + 789263412, + 980776379, + 543505264, + 45653299, + 43221231, + 883169955, + 257091989, + 437069085, + 199850079, + 299883122, + 797538256, + 467792138, + 784867678, + 147675644, + 785384443, + 464295015, + 199682165, + 633667362, + 343256494, + 614996900, + 280929975, + 15374265, + 234180959, + 25826286, + 931991764, + 167762382, + 125432545, + 11774318, + 28678928, + 499801697, + 696729529, + 488378104, + 377646822, + 920229100, + 493676124, + 145930727, + 59744823, + 25680677, + 589888452, + 941909058, + 702354002, + 751192963, + 333310023, + 182429621, + 628187958, + 859119678, + 505230968, + 846124106, + 353936886, + 491249947, + 957435506, + 588876526, + 667459739, + 591531018, + 267981804, + 343333736, + 165479920, + 407877715, + 186522456, + 71424610, + 91082199, + 523475223, + 53552718, + 987493791, + 963597440, + 272883182, + 596316037, + 492564680, + 377361455, + 414810695, + 120499637, + 368428653, + 274628184, + 903046512, + 939827633, + 480244893, + 485553539, + 226059972, + 856839041, + 898484587, + 417769184, + 403015253, + 639510471, + 929781597, + 279343597, + 454239802, + 34193364, + 656888393, + 747013666, + 616862193, + 437037838, + 890894003, + 532525378, + 664154629, + 577923877, + 419814478, + 460412966, + 50482910, + 788237267, + 623021749, + 947030299, + 647476819, + 631529780, + 998457045, + 408196886, + 268030138, + 361271589, + 493554433, + 614985282, + 523526624, + 462388192, + 129378932, + 474571093, + 857194926, + 491031489, + 88463643, + 265098533, + 398063521, + 820656776, + 656929649, + 934100143, + 368835966, + 76954013, + 33172832, + 551620180, + 964383603, + 37702960, + 841047411, + 369298375, + 540732811, + 740530804, + 115727540, + 12327410, + 299629090, + 773659246, + 565366036, + 472233273, + 91439131, + 398255646, + 43896713, + 610213457, + 408336739, + 729630941, + 870984049, + 225483882, + 54879221, + 990417587, + 418900776, + 509723392, + 874825167, + 255673019, + 699923303, + 272163674, + 137291683, + 349913071, + 401314692, + 918689511, + 117584311, + 774644802, + 52151368, + 149929074, + 836382182, + 773104296, + 359290595, + 154807351, + 853818189, + 818155449, + 725696057, + 806808547, + 85945075, + 875941350, + 158961379, + 514890991, + 895525926, + 370265061, + 176998479, + 544075736, + 111063243, + 539296455, + 847064143, + 88924344, + 903309550, + 983886064, + 195376541, + 870208097, + 507882215, + 316430623, + 289903141, + 360920837, + 99702958, + 917989972, + 732627418, + 45131458, + 948231811, + 5975589, + 173553600, + 863841788, + 110706355, + 738997573, + 841172935, + 646643952, + 592630171, + 674650275, + 707426910, + 85498765, + 328506812, + 118948212, + 302273152, + 183490299, + 131892184, + 709081640, + 419045924, + 517387527, + 378972783, + 554795530, + 777033878, + 754143677, + 900681105, + 878510993, + 914745977, + 631747687, + 293558810, + 643135792, + 357053313, + 437417920, + 841448495, + 176404081, + 782623794, + 435765034, + 864437660, + 393195282, + 777840052, + 409701319, + 352483832, + 191536007, + 928607057, + 722899634, + 967398698, + 389661321, + 322474973, + 572496365, + 825155445, + 393953075, + 443164399, + 305530363, + 24116117, + 531897807, + 764128421, + 112995744, + 406325075, + 366697522, + 656883410, + 222505706, + 12746672, + 811279362, + 107789942, + 919028444, + 921356861, + 820556442, + 331299560, + 912525664, + 397625803, + 266038982, + 788212719, + 615873799, + 895263325, + 822569978, + 358086679, + 13411423, + 130502809, + 27457381, + 39097756, + 319480702, + 369667693, + 877074578, + 643764663, + 382810554, + 992698853, + 165459882, + 539555009, + 53617565, + 144150991, + 132360266, + 408902805, + 161698726, + 452353756, + 954747322, + 744617304, + 415137447, + 967001135, + 802788613, + 585703216, + 456015463, + 632028539, + 723677219, + 387568939, + 698159824, + 532824282, + 549871874, + 863561420, + 975780517, + 710295000, + 991273443, + 263575879, + 438662587, + 982524373, + 489304339, + 164614518, + 846473896, + 828987125, + 958767933, + 311895492, + 947383090, + 755311456, + 913901135, + 537617157, + 878926387, + 579189548, + 638890658, + 678458501, + 475778263, + 819525620, + 139408182, + 631024563, + 743452645, + 741731520, + 836189391, + 970134383, + 638896719, + 904460586, + 483340371, + 141999462, + 579040050, + 380253728, + 994590094, + 572999102, + 968908980, + 843589653, + 314704300, + 338509050, + 970247105, + 181392165, + 178208966, + 65969920, + 672350878, + 819581416, + 970697566, + 33322247, + 987200701, + 845302361, + 427035892, + 850160640, + 438216972, + 640602603, + 469087482, + 949489800, + 701264781, + 627859430, + 981034739, + 492623530, + 267133738, + 827046430, + 694562924, + 512154082, + 307020553, + 572792806, + 815181985, + 737203185, + 75970187, + 76010293, + 197304969, + 209683904, + 229395786, + 938843866, + 76795716, + 332628395, + 672580662, + 943962119, + 307747611, + 648862489, + 780140679, + 546482706, + 672114176, + 906295356, + 438197194, + 449173706, + 321801242, + 874026543, + 390491358, + 837540119, + 342558211, + 268449283, + 507042684, + 202693938, + 9066281, + 423770205, + 630239056, + 515651442, + 539679236, + 74677779, + 807455026, + 133847856, + 883759264, + 378729053, + 376956352, + 232514674, + 403657262, + 667288456, + 695631944, + 833839000, + 386125524, + 851991705, + 971733644, + 373235409, + 824815027, + 21059224, + 794462101, + 763016785, + 873863147, + 89004160, + 212134658, + 727190646, + 428467583, + 537491449, + 151071070, + 721769905, + 912434426, + 674706931, + 5692172, + 890289559, + 878762416, + 957871034, + 772379641, + 205635005, + 115562386, + 283557485, + 711504519, + 89278997, + 839968171, + 154147873, + 371418567, + 663380923, + 728219480, + 681110338, + 166071219, + 443162123, + 846684542, + 719713404, + 868930306, + 181321494, + 87333910, + 993023640, + 689177814, + 164849761, + 229447487, + 553040685, + 565469089, + 503250571, + 128317815, + 767962413, + 258010480, + 974352974, + 154778476, + 135951485, + 816950094, + 678714207, + 351835075, + 520953896, + 624087702, + 657801304, + 912974940, + 251339188, + 986631943, + 812158992, + 13740311, + 657019699, + 618360959, + 867356827, + 601661946, + 793594330, + 178428992, + 161998299, + 216406065, + 694923333, + 49438865, + 990291935, + 509148138, + 115844003, + 630127421, + 532492345, + 846714384, + 447651101, + 496811116, + 478033995, + 949151567, + 250091934, + 540915063, + 719603462, + 606028696, + 773167810, + 413016499, + 131067940, + 906662044, + 784437211, + 165972551, + 126498026, + 730138771, + 8261135, + 76089380, + 486299236, + 354532166, + 16037735, + 697192029, + 816757803, + 960099152, + 29901659, + 575118012, + 253060884, + 919012580, + 594436573, + 829251935, + 469035056, + 161293866, + 657450636, + 430913806, + 314293731, + 150289542, + 795576845, + 758006778, + 68003623, + 917745020, + 256918708, + 563424214, + 231468468, + 469380715, + 716292121, + 357221791, + 646402652, + 994121168, + 518546581, + 221475260, + 562775621, + 32522520, + 291304291, + 996021564, + 799234554, + 268958415, + 724125817, + 900231164, + 419941101, + 587466772, + 207863204, + 4128356, + 105052830, + 234036726, + 857751928, + 330046185, + 46756661, + 497660006, + 564196851, + 433798804, + 111388607, + 110001759, + 131505138, + 241189800, + 792076622, + 118264502, + 474528676, + 968444727, + 796218661, + 442775428, + 367799575, + 400414636, + 738256013, + 399032936, + 95880832, + 58834186, + 786452165, + 740152682, + 620169133, + 524667053, + 692584535, + 981692229, + 552088608, + 888414738, + 581395061, + 466449417, + 514611425, + 687208699, + 286283603, + 596207508, + 916187857, + 408926108, + 919261489, + 315351705, + 378855918, + 410222324, + 830369205, + 323173341, + 95585561, + 855297490, + 87701193, + 765842198, + 442402948, + 621082904, + 277240910, + 711792064, + 3947785, + 133423134, + 891366793, + 133213052, + 363043444, + 93640413, + 246125464, + 723251303, + 779008026, + 245419594, + 669433851, + 917670855, + 917469074, + 672277988, + 657711858, + 384787816, + 45660429, + 17553455, + 744956052, + 957045787, + 466676967, + 683205679, + 721947801, + 683828822, + 291840346, + 612378543, + 933404052, + 345402397, + 888145868, + 714861998, + 257118267, + 275470006, + 587584486, + 190470237, + 223642626, + 900717637, + 564767362, + 494575592, + 131163760, + 925601722, + 413268683, + 292586476, + 56394416, + 833073186, + 305069260, + 468404833, + 141427710, + 275945289, + 307696055, + 710659153, + 997408465, + 487050908, + 629294772, + 795656416, + 481782322, + 430654987, + 141327789, + 198114839, + 315952264, + 376806055, + 198364674, + 87510827, + 844247625, + 999893816, + 693858280, + 266405016, + 685056097, + 476398661, + 8403550, + 792612318, + 328854920, + 50520483, + 605401824, + 333059196, + 331690885, + 468653162, + 275396323, + 353499338, + 987339763, + 786571483, + 804576794, + 518915749, + 731370244, + 92333643, + 73645554, + 196114684, + 190498456, + 11152309, + 223563610, + 964940860, + 359892050, + 249351704, + 540021460, + 164120359, + 541535035, + 202506563, + 503025927, + 230913366, + 161234535, + 698676317, + 898735814, + 128898853, + 945146739, + 296937014, + 136930700, + 516316283, + 750501850, + 739440115, + 92385198, + 816790890, + 37359368, + 57357961, + 560142102, + 682311707, + 71767951, + 770786303, + 131478374, + 666312391, + 197399420, + 508129834, + 265021213, + 265929477, + 158476067, + 965848737, + 852982880, + 24346489, + 83835622, + 702431000, + 140731154, + 728583433, + 848122024, + 42822975, + 236412835, + 127589923, + 986462906, + 871669998, + 512076163, + 420378621, + 19318063, + 776338151, + 42932228, + 561058723, + 458785974, + 892617809, + 940989152, + 159518319, + 55441098, + 728881507, + 609897929, + 601220660, + 801604467, + 980120705, + 187654980, + 409735043, + 895327450, + 362473826, + 144610335, + 191151840, + 542034392, + 281475527, + 443127209, + 25313581, + 403591852, + 4998600, + 814473319, + 474361403, + 279186513, + 246058333, + 414366938, + 761160369, + 296333322, + 247678578, + 899908528, + 68397979, + 672693834, + 525211449, + 972832784, + 73369804, + 199525754, + 192903441, + 943880814, + 3032743, + 467352031, + 746959959, + 982237962, + 163736345, + 337743714, + 1575345, + 401865441, + 798692489, + 585210627, + 981885409, + 13703448, + 483040832, + 380022861, + 930648367, + 933247249, + 811697070, + 769366818, + 925095141, + 850881699, + 33998833, + 812504313, + 434515516, + 525952801, + 61162688, + 441886866, + 848854240, + 509380772, + 918428943, + 796673875, + 184843378, + 96189754, + 857034956, + 812366312, + 702078460, + 541579421, + 61493883, + 768560206, + 822813381, + 980900947, + 115721082, + 718863257, + 684632622, + 713181074, + 588602398, + 766105878, + 700167421, + 452809580, + 868953833, + 169029859, + 836457760, + 504111812, + 95872149, + 128434321, + 63817115, + 545521463, + 718927862, + 806622202, + 277268344, + 241415758, + 252780424, + 48142844, + 936865670, + 724512127, + 291572774, + 162145195, + 273765227, + 841889579, + 185560948, + 440113137, + 230616149, + 841264995, + 288075310, + 578013418, + 758441329, + 519454302, + 436987240, + 844836295, + 264832209, + 812985390, + 846292806, + 394518142, + 348973247, + 360104409, + 669536055, + 876096774, + 932465938, + 74700793, + 134930439, + 577139781, + 988588106, + 241622432, + 506697348, + 969164017, + 28924576, + 917701625, + 919509033, + 174785391, + 207975062, + 966774708, + 49451431, + 533874769, + 336018906, + 63335597, + 220692475, + 10277779, + 137704696, + 841398327, + 812332744, + 2538307, + 139396617, + 66321398, + 432815322, + 213707353, + 77348425, + 368421590, + 283531904, + 352111639, + 647111252, + 298558675, + 16597579, + 624534301, + 62344657, + 530099869, + 308384456, + 680761246, + 98552510, + 394338147, + 460740897, + 897714941, + 225337029, + 587035696, + 560083095, + 850421309, + 945666927, + 859244528, + 94749904, + 885934563, + 529561981, + 819095083, + 37138274, + 329751971, + 970915640, + 877093036, + 229827899, + 29349447, + 865461062, + 5562048, + 870847215, + 267797325, + 655465315, + 163008749, + 731796265, + 146444274, + 89321290, + 366922142, + 316578891, + 252251936, + 788410748, + 667729832, + 200799669, + 305178243, + 489280635, + 223020463, + 555711042, + 725620931, + 630678766, + 194952975, + 371882761, + 325822875, + 164835306, + 321365624, + 4696613, + 47055443, + 553843452, + 322696408, + 798886301, + 982848001, + 230399098, + 869603347, + 938614479, + 766435168, + 783909785, + 299014480, + 147432547, + 958890122, + 667353842, + 520093357, + 844795961, + 478730112, + 881366995, + 213029755, + 362071249, + 940396157, + 659528386, + 49537646, + 750106248, + 379073144, + 551518420, + 838561140, + 780696686, + 201860695, + 498573007, + 886171087, + 89882792, + 669439041, + 889852666, + 340082834, + 561315536, + 100307817, + 863181298, + 707025911, + 673846944, + 168309030, + 771453180, + 9133166, + 978142315, + 683981551, + 874483875, + 441721334, + 479337942, + 571889810, + 693971431, + 491142174, + 84523777, + 995195076, + 893856479, + 742879722, + 945974800, + 335422033, + 516359552, + 570553441, + 934136296, + 709754778, + 534888962, + 981468002, + 324695348, + 547216780, + 87385342, + 269323421, + 516482251, + 247996726, + 747341886, + 647086344, + 756219876, + 674793002, + 567216641, + 488524473, + 999455875, + 664626322, + 481454134, + 253835163, + 347484149, + 980783510, + 431595097, + 44241714, + 159681053, + 369801472, + 63065345, + 547143090, + 392152911, + 245741074, + 464638167, + 652936042, + 469475983, + 153851556, + 788437707, + 26183251, + 738119285, + 829186848, + 362396552, + 807606498, + 408332541, + 104717376, + 10126100, + 371423684, + 114925605, + 737142129, + 681808245, + 547890635, + 748982901, + 829944870, + 60685221, + 766388111, + 289945203, + 4905966, + 912738308, + 678008996, + 98598288, + 82083476, + 535092435, + 845483854, + 439507678, + 566148456, + 112834742, + 430087177, + 471268101, + 383543732, + 290781562, + 889258925, + 846628335, + 547651327, + 396046703, + 485092737, + 634687725, + 671497720, + 849587886, + 121640019, + 102890954, + 974236192, + 27817075, + 862694814, + 79852123, + 385794647, + 333432372, + 135888585, + 879056425, + 566937903, + 355939601, + 784838386, + 515733474, + 619274434, + 248135564, + 280614798, + 888286016, + 409042012, + 740765221, + 946255696, + 831015025, + 942790425, + 4620438, + 129804195, + 697878431, + 698101266, + 415004912, + 124512864, + 648271875, + 290321858, + 494280647, + 269916465, + 186523315, + 692153961, + 866044259, + 456565545, + 867703162, + 903711912, + 693683649, + 887798699, + 374794141, + 961439707, + 987572024, + 324103, + 469579076, + 208694146, + 699096753, + 475012066, + 928100761, + 440834117, + 834654794, + 269716503, + 639695861, + 796648501, + 532009533, + 278773625, + 372722949, + 129440253, + 856487985, + 1904118, + 19499975, + 50849331, + 200602327, + 914201026, + 843431277, + 4422622, + 627598265, + 885563942, + 630305235, + 319966781, + 311584711, + 293493198, + 345009835, + 928911903, + 243394949, + 195544504, + 536169822, + 593715124, + 57769865, + 970039359, + 871459038, + 220620954, + 844684604, + 137858476, + 184583026, + 71890200, + 268671105, + 443022747, + 786649143, + 90751148, + 915044461, + 520736457, + 596810973, + 103321764, + 777446607, + 267764825, + 165915815, + 972010221, + 587145602, + 679254225, + 687126563, + 935117418, + 631456730, + 592466370, + 671178158, + 156493515, + 826803522, + 664970071, + 995696784, + 645118596, + 375029570, + 52841348, + 277758920, + 984226480, + 125674742, + 732163821, + 680701020, + 918195239, + 33051804, + 361506341, + 580325942, + 557075056, + 269628418, + 707226206, + 616211791, + 77735845, + 219921236, + 247037390, + 453772529, + 255134613, + 104632581, + 674872186, + 259492533, + 674000299, + 7063990, + 101256548, + 435865749, + 896524302, + 550873563, + 50026765, + 746590892, + 571272371, + 134361171, + 731122020, + 506824308, + 160421953, + 290547488, + 491553619, + 446368077, + 541515801, + 664744807, + 959286155, + 673516598, + 376088256, + 656047823, + 486260335, + 381963470, + 830401065, + 577180301, + 770581081, + 21677998, + 274390091, + 943037993, + 433444622, + 152644915, + 78778498, + 263270046, + 711652546, + 814903530, + 815193959, + 631145673, + 489286607, + 758402103, + 162194413, + 996080405, + 44179469, + 863623448, + 778649769, + 947265028, + 773903368, + 326770950, + 648170896, + 692720037, + 412530596, + 889138348, + 961340348, + 74072619, + 78201465, + 133734761, + 151339974, + 799578501, + 681139946, + 529721677, + 845926684, + 884311353, + 973259070, + 357603567, + 366256590, + 555471590, + 684565719, + 836737538, + 929858618, + 537530198, + 353542685, + 330278017, + 79967226, + 565347351, + 918332528, + 988720613, + 176507082, + 395429302, + 287483779, + 495252357, + 608236651, + 727604882, + 294500618, + 699659325, + 855392600, + 577649118, + 612447287, + 476219667, + 991373902, + 812162823, + 453589620, + 239419779, + 897971518, + 483495950, + 938617313, + 485461633, + 205797988, + 102827077, + 709944140, + 97960623, + 673633091, + 266070189, + 547962296, + 568435826, + 443094678, + 184669243, + 125913964, + 464358971, + 352923333, + 902505092, + 941206942, + 869051165, + 246348126, + 372691047, + 802470916, + 325585291, + 701296239, + 352652075, + 236245547, + 903302297, + 31989297, + 45749676, + 720269239, + 637031435, + 145373404, + 217215200, + 723787358, + 244199174, + 260335747, + 740128985, + 879242821, + 70294168, + 821334495, + 479230240, + 930383370, + 70817972, + 200546940, + 619930199, + 489087810, + 54349688, + 139088378, + 563247699, + 263066024, + 743094435, + 370932430, + 447504066, + 153844238, + 638488801, + 601985491, + 453636076, + 499313842, + 34760929, + 9485195, + 243162735, + 778652543, + 715967737, + 714965281, + 489122109, + 188559721, + 637660068, + 238628709, + 271235655, + 942971853, + 947652994, + 999410192, + 540414868, + 626107828, + 226048171, + 182367621, + 104517092, + 611980698, + 709709167, + 684769299, + 954232006, + 653948574, + 486955208, + 681747572, + 496570812, + 659043641, + 825267398, + 83372392, + 371922306, + 79585534, + 861097570, + 70930214, + 523036654, + 14823773, + 792703220, + 509376247, + 453620331, + 911252367, + 655600430, + 893445629, + 599287572, + 659818844, + 204428856, + 843758251, + 473863005, + 735866181, + 636465606, + 933822225, + 811334133, + 27901594, + 66485855, + 977481244, + 652946394, + 730819628, + 935053353, + 199370286, + 293573328, + 459524247, + 482492634, + 291551448, + 402902043, + 948297237, + 349971513, + 782899633, + 701584495, + 327068310, + 786716092, + 289467382, + 526340015, + 914305513, + 894130414, + 268685684, + 135873222, + 854887437, + 354118229, + 990617597, + 674850424, + 592523892, + 158508561, + 705495007, + 521342146, + 673270692, + 211190367, + 870459775, + 440193048, + 99972808, + 508863118, + 206205938, + 378875840, + 310029102, + 986611476, + 656467878, + 354980920, + 889649754, + 983443023, + 651067233, + 619042050, + 13242676, + 178356902, + 661629994, + 825710339, + 139529742, + 959638333, + 85354561, + 321537511, + 767570911, + 804976772, + 672881542, + 889104338, + 595656976, + 401613620, + 390669817, + 881343300, + 382620817, + 699897178, + 562805837, + 983615912, + 879676898, + 706659868, + 375778604, + 324491915, + 715017660, + 122427005, + 625820835, + 236527259, + 660194331, + 38856314, + 996199754, + 743886795, + 407452556, + 996510941, + 109479318, + 785138777, + 245336509, + 526305054, + 523556764, + 52747388, + 928147564, + 36156849, + 280019977, + 506076456, + 876409002, + 214872899, + 841307054, + 389393672, + 307670226, + 374083815, + 483879524, + 942380015, + 360287770, + 411166558, + 552532444, + 20362631, + 763842364, + 629270137, + 642602782, + 628232986, + 687042667, + 182317496, + 500976760, + 588810855, + 721686709, + 941437960, + 280577135, + 508451954, + 409772085, + 548620504, + 291083189, + 740035663, + 912091655, + 936515601, + 162048973, + 83015523, + 408447938, + 576831116, + 889297826, + 220772000, + 675569001, + 502102036, + 479374478, + 202654480, + 187374782, + 513094434, + 203368758, + 895059619, + 768584939, + 628030998, + 933676235, + 47381206, + 487083888, + 378386982, + 495332950, + 640577408, + 630137005, + 689021145, + 325689118, + 237560173, + 671836236, + 265247132, + 90181613, + 33484661, + 574700895, + 313854348, + 660264463, + 209792787, + 333717051, + 812928064, + 934427838, + 618482205, + 577300073, + 522770707, + 438756281, + 171711171, + 351665106, + 525416930, + 97107745, + 47097081, + 618515390, + 186604942, + 109941126, + 374819782, + 205754748, + 613970699, + 573023482, + 701288562, + 86111714, + 235752642, + 82506274, + 46217516, + 428263566, + 613565717, + 192238089, + 153619499, + 637049695, + 127309069, + 720976269, + 546728774, + 62890546, + 474843172, + 679456166, + 240624002, + 113682884, + 63931679, + 133203869, + 338525581, + 7615614, + 958139544, + 753357455, + 99931652, + 605335603, + 721440483, + 328484290, + 664157575, + 774127958, + 108342084, + 422677449, + 392124925, + 794889428, + 158650533, + 503446483, + 508683553, + 963497342, + 26558303, + 168135536, + 29484000, + 76939759, + 908451157, + 238847561, + 770599539, + 28977670, + 528043483, + 456786532, + 241847401, + 629990996, + 260246871, + 221874582, + 497671631, + 250025917, + 114007840, + 370290898, + 652842334, + 886995709, + 624983670, + 653614605, + 65200106, + 5726389, + 707626096, + 147647527, + 568770130, + 276441894, + 683979691, + 753328558, + 896269060, + 86312901, + 533710485, + 306798283, + 843905846, + 525855472, + 477404927, + 180988372, + 168638268, + 595099235, + 269852184, + 825172693, + 125045031, + 806892293, + 685502283, + 177114102, + 264825941, + 484888652, + 618335741, + 765412424, + 842665153, + 318094454, + 766082442, + 127033181, + 325845334, + 319369632, + 187577220, + 163831444, + 443773665, + 24772454, + 710353326, + 752981125, + 808402389, + 809661972, + 528881574, + 945420558, + 239635094, + 192678854, + 435382136, + 31206453, + 178433992, + 50409089, + 312497856, + 653544561, + 370507032, + 712664094, + 187057659, + 373560224, + 837692852, + 227654693, + 925838144, + 325824874, + 633089236, + 214642040, + 50773784, + 770647372, + 765067748, + 586793305, + 213673073, + 510654749, + 537130068, + 151618294, + 536948683, + 417625595, + 6668351, + 231864618, + 765570071, + 423646274, + 260353763, + 702258501, + 511117411, + 637025251, + 933900151, + 14257946, + 428882242, + 563610598, + 215689215, + 525076951, + 723939898, + 357152512, + 67639477, + 133322456, + 343167214, + 306685626, + 549873695, + 757095556, + 774656522, + 86054106, + 51371040, + 878879588, + 241943292, + 831133542, + 265940589, + 435898247, + 978697468, + 149987882, + 883988926, + 681563322, + 896541571, + 102707236, + 776278973, + 717700952, + 838445720, + 584417945, + 806331456, + 428231910, + 115177245, + 462036209, + 857219544, + 118524332, + 857008204, + 774548365, + 755632978, + 666855244, + 274715876, + 414452278, + 43689051, + 739316877, + 809608195, + 637278213, + 322399029, + 168753214, + 785234172, + 888313027, + 503295764, + 289295722, + 68192958, + 704521501, + 489356131, + 512859860, + 815194307, + 963807323, + 475839098, + 259729792, + 200073511, + 740678317, + 702387174, + 957703704, + 734975559, + 795062619, + 747651610, + 251198478, + 146416112, + 792891051, + 113907425, + 634647452, + 638614028, + 519305424, + 5347193, + 269175041, + 769396972, + 18633872, + 328228960, + 324249051, + 639584650, + 194262913, + 365580245, + 58675816, + 777933203, + 106195375, + 905603572, + 74583354, + 489229336, + 332773212, + 41026033, + 815540976, + 316976500, + 995861551, + 465452503, + 704399048, + 860459309, + 701295233, + 768289746, + 702787946, + 317107676, + 128507029, + 845662511, + 264594787, + 936795572, + 105416006, + 603821817, + 411904995, + 680534808, + 20844794, + 391683293, + 902451025, + 479221704, + 751864121, + 32067785, + 590846770, + 412550280, + 686389294, + 979586319, + 567781757, + 125435511, + 334589965, + 818387069, + 274365856, + 818335600, + 688388211, + 995735525, + 397678180, + 475936837, + 930646328, + 59314877, + 911653594, + 303419082, + 826485027, + 227600587, + 489399108, + 183170796, + 873825702, + 338318533, + 69772286, + 260125053, + 409150425, + 385980619, + 187450750, + 883459971, + 547869531, + 966562583, + 105331657, + 849724494, + 353682615, + 830000048, + 385904783, + 305355730, + 153652834, + 30975478, + 617977000, + 920676101, + 863552030, + 864582615, + 550486779, + 767263383, + 572489480, + 647875999, + 363383985, + 687913224, + 944341654, + 163537293, + 716825758, + 629235568, + 889898943, + 995999775, + 324188567, + 187194520, + 63353177, + 574119970, + 919220142, + 356257980, + 280451809, + 595949319, + 400426142, + 641482758, + 262031, + 521586065, + 69543994, + 398250529, + 342254279, + 80679661, + 645748250, + 854888531, + 997296650, + 754489902, + 707492135, + 164100814, + 79763541, + 784973948, + 451324267, + 542168073, + 238606515, + 76917255, + 779595350, + 708271785, + 665050774, + 359801426, + 997013986, + 87465508, + 105306260, + 237670398, + 668148548, + 681552733, + 42805663, + 294205161, + 712202382, + 151268837, + 475041200, + 464370666, + 740936305, + 262047680, + 201617776, + 197632205, + 804121146, + 984446865, + 681009902, + 522144762, + 388662524, + 86529350, + 415205538, + 111742467, + 51407974, + 553573153, + 397976056, + 657043924, + 76668010, + 509892480, + 864115412, + 893568252, + 868452415, + 945431449, + 396820033, + 569165452, + 813741397, + 421953957, + 216408679, + 225479506, + 357777648, + 96450575, + 478594017, + 342907012, + 311835031, + 520906139, + 733385171, + 991949201, + 936291492, + 242647665, + 530531462, + 62340474, + 794373860, + 246521862, + 199545098, + 606433912, + 731336344, + 737943073, + 772098615, + 112747362, + 259707167, + 67197268, + 264073453, + 776437029, + 69315328, + 279980333, + 935520695, + 599409565, + 355052057, + 976635953, + 16870860, + 247878215, + 183742255, + 885231733, + 910850248, + 381268519, + 510287517, + 704491140, + 895310915, + 243018923, + 693314473, + 808734189, + 420582935, + 666339221, + 466947493, + 590471918, + 998806089, + 396645822, + 148402610, + 347013090, + 372464149, + 179564886, + 131732198, + 998378343, + 508776184, + 861649268, + 571612191, + 558061666, + 905568948, + 559365812, + 390762998, + 575667928, + 451848386, + 125591147, + 440797383, + 193865619, + 834437307, + 939217988, + 826191316, + 301045527, + 62180104, + 845602327, + 231443918, + 322378828, + 500759974, + 778720117, + 896705337, + 660411899, + 689998085, + 763302598, + 929403168, + 691488234, + 618145269, + 74887455, + 586898694, + 927914231, + 19484441, + 608688259, + 844197614, + 356028569, + 132898986, + 773543499, + 328372784, + 586903971, + 634528859, + 682944971, + 766528593, + 878004588, + 843321638, + 26949301, + 257700974, + 966429459, + 484949070, + 74815500, + 155398003, + 385874365, + 821937046, + 357441254, + 413444585, + 921949471, + 89897908, + 671958443, + 536733515, + 952751465, + 334240292, + 686954004, + 440027909, + 527745906, + 233688192, + 175236064, + 210060665, + 891756295, + 135516646, + 321653460, + 590170812, + 45055701, + 267949970, + 458955011, + 430754872, + 32128400, + 792918191, + 594208917, + 847267281, + 301886299, + 343908788, + 753734009, + 587678547, + 986080445, + 921758297, + 877649659, + 447170495, + 432734057, + 53223820, + 276711947, + 494185667, + 684434482, + 886802071, + 827086348, + 378368415, + 43018833, + 852497642, + 958137291, + 972202068, + 116851059, + 813146452, + 53318843, + 781560549, + 550571684, + 373596523, + 882485218, + 74675785, + 957797542, + 658508716, + 465058349, + 431786414, + 300420339, + 738837764, + 893350276, + 537117670, + 404513286, + 63677786, + 937789110, + 947885788, + 492881309, + 92719951, + 796005878, + 392609066, + 453664195, + 967243268, + 612474073, + 678241553, + 130178835, + 609214553, + 1305806, + 149337632, + 508470077, + 921204896, + 61103850, + 514056611, + 742660901, + 287766351, + 687880854, + 990805186, + 714958436, + 416369453, + 105932139, + 192122533, + 44756720, + 272582589, + 673783678, + 278849352, + 406312918, + 529974894, + 993649076, + 335104139, + 976413146, + 74343139, + 624660408, + 269677090, + 840659346, + 547893220, + 491007719, + 972796683, + 692362985, + 127386173, + 439428799, + 141862439, + 523521601, + 262146584, + 795139615, + 270403405, + 255438845, + 609877796, + 17888765, + 165597639, + 120489448, + 944496425, + 479394385, + 763287987, + 616577993, + 518162895, + 814809512, + 474248913, + 599185834, + 793460718, + 825522328, + 249456531, + 16870550, + 971347951, + 53847782, + 18260255, + 62705940, + 729336887, + 501011516, + 440324012, + 710701542, + 566583831, + 718196163, + 480129055, + 767731532, + 411905637, + 911332325, + 704023100, + 707667681, + 930015387, + 876976606, + 422919440, + 636278719, + 350988981, + 719258582, + 178436818, + 69923632, + 230996323, + 706269687, + 291386979, + 344613475, + 390925772, + 833913242, + 793089953, + 56340542, + 192806762, + 197781666, + 702675174, + 497172389, + 106921258, + 181799608, + 660326219, + 307738063, + 803948747, + 153099730, + 333080704, + 976367107, + 953011714, + 691787785, + 359365340, + 197036160, + 935319918, + 369393637, + 207874328, + 364074460, + 302313238, + 694742050, + 683160629, + 850365307, + 343914383, + 845223416, + 893232210, + 805639371, + 950029311, + 462055761, + 826002218, + 224753888, + 227550905, + 630768686, + 164634439, + 354049027, + 853769624, + 968214308, + 692529434, + 410469603, + 251274117, + 498121192, + 315075127, + 874038098, + 642476222, + 587909665, + 835115101, + 997643519, + 734258281, + 990964437, + 616753490, + 491924719, + 292281717, + 693524515, + 320317955, + 903943386, + 247266094, + 696177267, + 797158741, + 854566367, + 941294044, + 485826406, + 515425501, + 852027979, + 946420811, + 128429715, + 593206699, + 730478595, + 196841116, + 259066570, + 94271953, + 673946163, + 559061031, + 442529961, + 806699411, + 728873788, + 486578960, + 704603435, + 251037277, + 425769312, + 208139852, + 394715076, + 622929056, + 618638106, + 773425178, + 656221297, + 539781856, + 136472352, + 713597070, + 576588395, + 891296403, + 133844083, + 809672218, + 466771256, + 921876309, + 158461473, + 567350, + 332360788, + 166187547, + 879954080, + 626629140, + 664316986, + 130723156, + 372661398, + 942900733, + 248219023, + 854569281, + 229007931, + 291214564, + 305039383, + 192257504, + 785108566, + 803998527, + 354833821, + 492933753, + 197782910, + 118579285, + 281708278, + 208909522, + 132687259, + 304869656, + 476034378, + 45941304, + 875614275, + 447883271, + 743262934, + 82405230, + 435658132, + 428264370, + 406384717, + 797556277, + 889866648, + 620247745, + 964990606, + 239491738, + 879217103, + 287694830, + 975908032, + 853819746, + 876628667, + 854271443, + 998557940, + 187234556, + 302226831, + 2902488, + 219095297, + 542239379, + 127705548, + 959032859, + 628345596, + 205686923, + 994028705, + 959368127, + 169199021, + 648340519, + 909345064, + 587304783, + 189399373, + 404859250, + 67466457, + 216961082, + 439532522, + 420711641, + 11263556, + 17509430, + 216598977, + 89871708, + 940625639, + 77743552, + 391491256, + 458920870, + 863442257, + 437160316, + 787237706, + 863226851, + 397981589, + 717239917, + 962894518, + 549050125, + 67105413, + 51827120, + 788850010, + 909220432, + 648921583, + 374536160, + 513884469, + 793335416, + 933608023, + 608828980, + 747223556, + 762749882, + 438335570, + 65856652, + 289138440, + 235336459, + 845326940, + 969557163, + 719972486, + 910655501, + 481328718, + 728053348, + 519121420, + 813716244, + 876639527, + 739519862, + 660845855, + 525983157, + 881559087, + 115240987, + 990966506, + 590054870, + 800522951, + 459745791, + 969880680, + 787543290, + 747656646, + 282068057, + 557326328, + 591157504, + 806831914, + 225249875, + 57419579, + 876798190, + 352140707, + 480262810, + 327916441, + 760565285, + 493079242, + 592394839, + 186778434, + 529621984, + 290546429, + 917484691, + 513860089, + 549081078, + 41734746, + 732435642, + 403728253, + 208117794, + 459109314, + 57718925, + 992892497, + 112643818, + 427117139, + 484606428, + 381372000, + 696953083, + 386690980, + 792058267, + 478257086, + 210653464, + 363981393, + 656239726, + 463007182, + 30962799, + 259433288, + 618191299, + 250669930, + 276098218, + 156249354, + 158409915, + 506368306, + 752435603, + 50869059, + 696143338, + 433086568, + 86113180, + 955727652, + 646840649, + 23442257, + 33065215, + 40869542, + 440168586, + 526339973, + 794868534, + 115160226, + 985977591, + 514406652, + 562971566, + 604551408, + 183976065, + 874109619, + 922351428, + 254056511, + 959037989, + 358865248, + 37966714, + 78598190, + 835742455, + 7744740, + 627028633, + 993432281, + 480942448, + 104552939, + 965648615, + 414513071, + 335256350, + 544587719, + 371601386, + 265117608, + 562087191, + 189167579, + 150680386, + 121281830, + 438470999, + 308406480, + 341424613, + 948218840, + 551827609, + 796337299, + 159047020, + 695475657, + 190102914, + 341837347, + 862894752, + 960827247, + 181088493, + 942564442, + 306895916, + 292450843, + 998919837, + 634714320, + 76801660, + 111538059, + 779195007, + 298224506, + 753874503, + 248183040, + 943290200, + 260924196, + 496612522, + 105881817, + 630176445, + 392051922, + 65795996, + 924871045, + 91631944, + 16048059, + 622213309, + 929120551, + 875307039, + 158848706, + 178258000, + 720267734, + 803150570, + 43977412, + 607521218, + 939186539, + 719491271, + 55119685, + 39746932, + 328096722, + 898037476, + 195705478, + 787978661, + 898462337, + 168342264, + 100443278, + 185297139, + 555016709, + 274225048, + 494561083, + 484073414, + 246274620, + 409884976, + 519272222, + 669449352, + 950286242, + 228650837, + 887025485, + 819630022, + 109450038, + 852982313, + 157908449, + 397843853, + 918475513, + 432162258, + 687588256, + 453905806, + 641484222, + 815809312, + 120857234, + 607252232, + 484575934, + 530159635, + 21382794, + 104168201, + 610716825, + 578984581, + 921729477, + 553913482, + 438482353, + 967290581, + 147444329, + 195364868, + 738662059, + 618827435, + 622813305, + 839258693, + 27342041, + 76879443, + 502349206, + 149495581, + 45461032, + 434870940, + 709750128, + 284152119, + 862171761, + 901030955, + 92507875, + 130812759, + 331672837, + 862417776, + 755560399, + 219504742, + 951149314, + 229138593, + 401730412, + 493215355, + 619140001, + 858064982, + 884762034, + 422120232, + 808709288, + 330215643, + 72524013, + 494644279, + 750825763, + 737327934, + 706422304, + 547261355, + 384776986, + 403826170, + 798655218, + 419514880, + 960600763, + 196914195, + 734583320, + 217668605, + 134665126, + 403865335, + 121979869, + 195197362, + 301739304, + 862875222, + 182146598, + 711957234, + 233136951, + 958742539, + 552412762, + 594663695, + 430177018, + 975002700, + 859130431, + 690678487, + 600049483, + 996320679, + 312499380, + 83480915, + 475473144, + 988387081, + 928926977, + 780648876, + 300775473, + 943269480, + 564997101, + 349733680, + 686929026, + 858642198, + 605101591, + 89270591, + 205678734, + 178450033, + 886301092, + 838077867, + 991221060, + 212973450, + 612284585, + 975173970, + 437294836, + 849767679, + 773989194, + 674340421, + 144717426, + 163023702, + 722399141, + 598263875, + 314792583, + 688568932, + 453908602, + 152766327, + 164730460, + 611331558, + 467396745, + 471606670, + 870027816, + 483422264, + 520243821, + 429442583, + 849813640, + 607618141, + 962919378, + 827896118, + 178331625, + 888695600, + 265901630, + 15922874, + 396110082, + 649583331, + 830937207, + 60621105, + 791261112, + 168079422, + 489711756, + 748588854, + 985385522, + 71854332, + 512933896, + 767950191, + 12472926, + 599941054, + 633018199, + 441889182, + 375446904, + 221801218, + 88875514, + 826809639, + 288746131, + 870118992, + 66981866, + 167272987, + 859234189, + 252902211, + 701727075, + 716785485, + 317599513, + 17668797, + 331599353, + 661178357, + 205624727, + 564440045, + 708425384, + 278657540, + 491896240, + 233079622, + 985807386, + 781097074, + 344725593, + 542798355, + 488881882, + 267350075, + 467876317, + 142883074, + 418962000, + 788276614, + 76705362, + 999255864, + 633931376, + 174543134, + 78982088, + 696706947, + 260370293, + 209117804, + 180704309, + 104383854, + 513967897, + 316656700, + 309469336, + 573888252, + 350956031, + 698066393, + 410901630, + 332169164, + 422227012, + 489899553, + 812646942, + 349789835, + 389741635, + 729513398, + 691650590, + 260783078, + 119002497, + 278300817, + 803673102, + 632625138, + 141954481, + 916681464, + 154749626, + 481826196, + 892669084, + 11328018, + 282917752, + 555253217, + 764747364, + 7047083, + 499818407, + 706139669, + 927768961, + 989313270, + 93416806, + 686421545, + 772008104, + 217397902, + 622410727, + 271788893, + 897977827, + 410952489, + 345032165, + 940699678, + 871718162, + 305459686, + 104060220, + 608261895, + 719476719, + 1580942, + 181653723, + 717006503, + 498192533, + 813646946, + 548968882, + 975870219, + 385552187, + 452539906, + 598141428, + 890396898, + 976840593, + 181777756, + 484721904, + 750110707, + 265496406, + 502539170, + 168163827, + 53600807, + 606529708, + 366786374, + 39817358, + 921448385, + 801412758, + 981917979, + 523446702, + 191281933, + 17468610, + 200048198, + 235118916, + 366897640, + 93955655, + 604900441, + 256845572, + 624182164, + 460175348, + 281753381, + 41437322, + 3091712, + 694634548, + 494959177, + 21048538, + 800735037, + 927578002, + 297539160, + 846641985, + 235139177, + 487774514, + 811225483, + 901537277, + 797603105, + 238190523, + 606904417, + 428343688, + 975774712, + 409764451, + 582378893, + 224769862, + 647137391, + 502320582, + 694681031, + 510682148, + 708630317, + 793459579, + 170048160, + 109306056, + 285540087, + 184492501, + 268858158, + 503054278, + 633155670, + 682058837, + 349442137, + 70360344, + 947677536, + 872229653, + 131556495, + 145085854, + 260610960, + 338909152, + 228431826, + 27423133, + 693868374, + 426010515, + 723807249, + 437430295, + 403482664, + 119263545, + 991723177, + 519651238, + 658726118, + 581134376, + 828217253, + 39641908, + 775971897, + 788233197, + 412311879, + 507870045, + 609638015, + 250311410, + 278937276, + 320844316, + 873647532, + 263655498, + 222321788, + 330443052, + 53329843, + 525207350, + 174348371, + 616923785, + 863188325, + 386439453, + 581850155, + 608281404, + 19282529, + 993685590, + 986096343, + 228455017, + 55176102, + 623254139, + 857462164, + 402579076, + 54999617, + 411301568, + 925816859, + 68443292, + 293931098, + 899640030, + 426543657, + 597451213, + 96866387, + 695982124, + 707254452, + 690480319, + 808896644, + 989067061, + 843900016, + 103513320, + 218978948, + 66846784, + 912571692, + 625802799, + 300340752, + 56588521, + 341255768, + 714333365, + 544625842, + 950124284, + 31014761, + 77937596, + 129528551, + 42346485, + 696959188, + 421274885, + 512670630, + 572902335, + 437311640, + 430207549, + 239686357, + 70011857, + 158245009, + 829324646, + 425196056, + 295892674, + 768366860, + 958699042, + 670571366, + 332081891, + 958771420, + 376104656, + 434408074, + 172514630, + 87476998, + 934423611, + 344444557, + 265054586, + 741003158, + 543575231, + 704772756, + 420654765, + 626084629, + 880741702, + 372740698, + 205737829, + 327161919, + 672210592, + 560183980, + 264072993, + 411684732, + 983473927, + 796746688, + 905938996, + 840942870, + 951691109, + 666030037, + 1974398, + 54932731, + 661793718, + 925695603, + 240903629, + 874843463, + 151530852, + 383035114, + 565695958, + 274670473, + 203291624, + 287863301, + 221421425, + 993291508, + 753191798, + 870520814, + 22233997, + 434745071, + 795625145, + 217479910, + 974432612, + 44338847, + 169745036, + 238805134, + 177018899, + 505689108, + 53708709, + 695304759, + 769154442, + 675655371, + 610124599, + 101761809, + 143824267, + 696490600, + 633734497, + 250224506, + 408848496, + 823112795, + 229093963, + 112150830, + 493498714, + 260898733, + 360062261, + 298620752, + 685175970, + 496144125, + 359232227, + 527708838, + 159034608, + 166075364, + 794734684, + 896279086, + 851714082, + 703539420, + 645927097, + 742642621, + 494964519, + 847934072, + 250597160, + 354729236, + 821215862, + 553183991, + 935604317, + 521908995, + 859168974, + 63054176, + 306659948, + 495565416, + 745039384, + 227455252, + 97415741, + 451278784, + 529339811, + 462458825, + 99068292, + 578964231, + 275939435, + 670079070, + 931737412, + 604754229, + 802391719, + 804796879, + 546683742, + 830057059, + 370476774, + 944144879, + 818288455, + 7196, + 874266759, + 417727968, + 528968353, + 235911857, + 809237044, + 413028434, + 208933505, + 23920190, + 577983127, + 788854247, + 456961621, + 747846754, + 599741848, + 137286922, + 346929368, + 130497715, + 543596088, + 289136723, + 519440605, + 355642872, + 804114103, + 208317896, + 216013318, + 403945583, + 526333082, + 593224258, + 912533254, + 139571803, + 428510389, + 656843177, + 356530126, + 939795738, + 824890527, + 437165737, + 547345537, + 188863319, + 685250695, + 16245761, + 206538377, + 634288720, + 777404702, + 804239641, + 728767415, + 598568307, + 335738634, + 425645535, + 305376840, + 399516873, + 286699755, + 20848175, + 875316404, + 595800091, + 270815159, + 394243920, + 637225255, + 245835536, + 468940523, + 275337854, + 755995489, + 264580468, + 65634440, + 754207693, + 616182640, + 85591113, + 392838428, + 726114283, + 417795761, + 386120651, + 603927949, + 747122369, + 552413820, + 928808280, + 685156935, + 613220170, + 612277255, + 613744794, + 788707229, + 984919085, + 45985546, + 340063915, + 904067092, + 362974624, + 183963321, + 463360543, + 621507787, + 809566801, + 878592420, + 847477429, + 9312053, + 566904911, + 246359439, + 705889100, + 745329604, + 216356718, + 344324700, + 477698712, + 46049720, + 488163638, + 67690668, + 833175293, + 508766244, + 913013917, + 67302659, + 67503105, + 716617961, + 398106561, + 638516600, + 148553382, + 509966402, + 961424263, + 271521527, + 536979787, + 45797631, + 252419760, + 829484401, + 416467636, + 176082825, + 647524889, + 799073312, + 127362270, + 639764824, + 24206710, + 523259473, + 351442261, + 628065873, + 998357563, + 349654283, + 515184617, + 170520173, + 137926365, + 485039151, + 463474319, + 423577173, + 132358962, + 804070230, + 378997149, + 949338724, + 405512305, + 425988943, + 467186165, + 683550150, + 984772932, + 215427713, + 134109790, + 656717834, + 564967803, + 693477258, + 483100920, + 651047885, + 238777496, + 912457661, + 415143532, + 396287110, + 160147761, + 718929943, + 106375850, + 65622385, + 598097835, + 308311596, + 891108016, + 514778905, + 15946287, + 480651066, + 808253737, + 986027556, + 388267911, + 975779962, + 44287553, + 974193343, + 293394641, + 654337403, + 918881815, + 387335016, + 379115267, + 242854779, + 90384282, + 787134346, + 119265416, + 817483155, + 984853017, + 851579346, + 217573137, + 953173807, + 499729564, + 996433457, + 66971678, + 153669459, + 780993894, + 141433204, + 470912662, + 852651051, + 622846245, + 89036864, + 737043062, + 880627555, + 619165256, + 123258613, + 920796837, + 533351098, + 154349285, + 439080158, + 839276664, + 139779643, + 458283270, + 655211931, + 193847628, + 310793748, + 310188487, + 393678623, + 843041345, + 651595877, + 372785867, + 729223920, + 4765085, + 579323054, + 830092628, + 713835191, + 975629161, + 26524044, + 264271559, + 221461445, + 188891559, + 98992006, + 708493699, + 565041516, + 501136240, + 559183024, + 326403294, + 485857982, + 336542293, + 244491964, + 578563678, + 176401693, + 312083906, + 560379734, + 949455924, + 571326283, + 191324448, + 270072833, + 596023184, + 361693704, + 303766377, + 171278565, + 9864715, + 672024780, + 741817466, + 742085160, + 544560521, + 333187334, + 687217695, + 852443714, + 447513700, + 489965305, + 380979537, + 610605157, + 691727379, + 818691899, + 646002588, + 530894894, + 81589735, + 283939528, + 471146216, + 487541794, + 404206278, + 971712188, + 504578842, + 525375418, + 163047530, + 441588565, + 16234968, + 51907052, + 842199873, + 214195050, + 85625379, + 728100337, + 869171499, + 376845369, + 173509981, + 443939752, + 447973640, + 755229208, + 506065651, + 184914068, + 676382266, + 758785995, + 420435728, + 524661868, + 188278911, + 933339454, + 211515220, + 398092380, + 833143349, + 612067307, + 569304021, + 635592056, + 916053081, + 207844324, + 388585929, + 668131598, + 227059319, + 854859413, + 294983001, + 525606372, + 896047825, + 561300045, + 819382210, + 749974134, + 687777625, + 241748260, + 764393351, + 14793187, + 140150895, + 318036687, + 236113923, + 119426377, + 571954821, + 287720154, + 678401350, + 752580438, + 567180715, + 123346652, + 225918193, + 104113279, + 728122516, + 4486949, + 564627264, + 742777576, + 470263349, + 108983572, + 271687232, + 318628834, + 865482019, + 679478084, + 622465012, + 544095152, + 468277887, + 82806120, + 724568267, + 726523946, + 352724289, + 247678618, + 979013452, + 874085356, + 751556744, + 754515765, + 673625090, + 997139504, + 686064025, + 430836516, + 496886260, + 874152899, + 998611739, + 448836022, + 798399781, + 696409683, + 516398137, + 975353670, + 654072845, + 304963721, + 19777615, + 730350765, + 729067047, + 872865711, + 80507283, + 725832865, + 276833634, + 884516462, + 259299579, + 275245845, + 608662407, + 101596240, + 574729702, + 677085082, + 161742063, + 540890369, + 29906642, + 192535530, + 776576289, + 602121652, + 198079457, + 10034163, + 872662919, + 546031730, + 66236638, + 816269810, + 742456985, + 92889924, + 791399182, + 409289038, + 285010621, + 342799112, + 571139781, + 553250887, + 486692820, + 581256897, + 184741886, + 847257436, + 259186717, + 548989947, + 856030573, + 275785965, + 5783073, + 690579079, + 301298757, + 205766067, + 991372743, + 205702938, + 993912149, + 478160342, + 226148106, + 942488839, + 281380788, + 739574366, + 734319006, + 228945744, + 889023744, + 876074559, + 482941241, + 449715207, + 576607053, + 416382965, + 769020271, + 888368040, + 962489132, + 423180122, + 269788131, + 589768664, + 6464419, + 290252173, + 817288615, + 670029577, + 939895919, + 518957863, + 199379513, + 569578959, + 483122331, + 651991350, + 807708770, + 934531134, + 345037977, + 507473429, + 261239439, + 130045997, + 620839083, + 211913187, + 821461332, + 558346195, + 244289773, + 429096824, + 603403955, + 608196214, + 906057704, + 91992812, + 914513104, + 778536544, + 830748556, + 974418872, + 881313021, + 373755243, + 890982173, + 147254449, + 803254551, + 561626428, + 219578361, + 234121168, + 966084005, + 401546095, + 334568025, + 728950471, + 184140047, + 80538845, + 719217159, + 126024177, + 540450816, + 762567820, + 67873783, + 204351991, + 132418225, + 994575368, + 977635252, + 146167505, + 112114251, + 360056644, + 797901546, + 847273587, + 411038862, + 271337288, + 123065693, + 270435828, + 506274631, + 238010520, + 225756681, + 97946928, + 495501962, + 111525375, + 722475322, + 663363243, + 151869791, + 685437592, + 925456897, + 831830913, + 50512571, + 927526404, + 585726813, + 377890302, + 525720503, + 972917563, + 302012072, + 331179630, + 981732085, + 198830732, + 483646123, + 186276329, + 592573890, + 116680555, + 811721884, + 442744461, + 139843102, + 243067975, + 935831581, + 254185367, + 370015195, + 407260454, + 815719404, + 314117126, + 441478219, + 4358188, + 244521162, + 151654969, + 907982826, + 667608335, + 533012464, + 342510068, + 874608661, + 689525775, + 453013324, + 158666512, + 100403301, + 754523088, + 936831733, + 237076593, + 232789926, + 269299400, + 221205828, + 512791005, + 11709004, + 275837375, + 683476268, + 576766308, + 103573825, + 706574807, + 193738172, + 702658307, + 820938763, + 772521311, + 714902584, + 790222121, + 616929377, + 771463749, + 152495121, + 784347014, + 165833030, + 462108089, + 911545890, + 118838785, + 960234221, + 805798154, + 987896837, + 613623585, + 77261426, + 120187584, + 784543552, + 652393259, + 815707642, + 80771725, + 90942185, + 194140359, + 702357073, + 968971822, + 678016206, + 810228791, + 691680709, + 335407068, + 725804688, + 509462002, + 327630901, + 418504775, + 909692446, + 874002136, + 591224518, + 770943390, + 396494497, + 225840592, + 474712679, + 568610270, + 918606523, + 818252144, + 557611375, + 966540368, + 137517604, + 915666622, + 734597970, + 606978393, + 376295287, + 515279572, + 266352319, + 858342482, + 259638812, + 219121278, + 84450301, + 917500465, + 276283695, + 484133131, + 881074642, + 878901645, + 770461034, + 848947235, + 353513303, + 324926938, + 101109856, + 888264873, + 642157001, + 45078000, + 96989775, + 210254483, + 63196183, + 688356023, + 894956645, + 861220884, + 587962395, + 668213598, + 119665681, + 398251433, + 675694966, + 999086120, + 683198212, + 273468838, + 238095961, + 148713097, + 394188228, + 253242693, + 795647009, + 136897182, + 119844594, + 808719709, + 50032544, + 407808876, + 738584225, + 95300045, + 12503292, + 997466558, + 806285702, + 629346955, + 746204626, + 645326050, + 842746471, + 190624676, + 187544715, + 252949750, + 18605000, + 631589951, + 534486810, + 921409422, + 162744658, + 385358203, + 376954784, + 297332583, + 596576466, + 72840012, + 596407994, + 715724818, + 880885655, + 350465645, + 394812025, + 864465702, + 952609032, + 187669261, + 678667463, + 937379334, + 655349578, + 41813829, + 473174119, + 750600260, + 979345131, + 406062982, + 884754603, + 800616963, + 598215418, + 672358486, + 477694185, + 86179939, + 526961051, + 541989700, + 223941133, + 359250937, + 392125427, + 181619185, + 870503861, + 685565454, + 431301204, + 334514534, + 268456038, + 98248982, + 451875485, + 290492944, + 499607938, + 854674740, + 648606263, + 598740156, + 477211256, + 155020682, + 302868056, + 207140483, + 138633125, + 658929923, + 631884921, + 311758821, + 460928872, + 131791182, + 53335310, + 559540138, + 994819424, + 475745322, + 393181644, + 829606487, + 239769124, + 662905965, + 585113031, + 978814053, + 641962504, + 464405049, + 628921583, + 101745000, + 874207344, + 371388886, + 453252949, + 456029037, + 873458325, + 892537860, + 603411979, + 855613838, + 502920570, + 838346438, + 15437696, + 753073362, + 644365174, + 322463141, + 141346544, + 14527871, + 276469594, + 666840280, + 759650337, + 620631333, + 287496652, + 852123074, + 125920564, + 557324973, + 677418029, + 656191506, + 798998440, + 209455835, + 913064304, + 465497406, + 895911052, + 391951881, + 860321034, + 646783113, + 66189039, + 555804336, + 343227258, + 800171546, + 849684073, + 430996071, + 318349993, + 483188840, + 587509292, + 767872198, + 341375158, + 541950523, + 767793476, + 274386856, + 100254917, + 104727740, + 395302263, + 449899356, + 390843379, + 863329313, + 842638414, + 109103335, + 441915923, + 990730438, + 554759896, + 268200411, + 839125055, + 513600857, + 945434841, + 251388263, + 307273628, + 295898667, + 945817410, + 90936555, + 373432336, + 108214309, + 926053611, + 564988946, + 669829542, + 123543438, + 756066419, + 260631543, + 955870155, + 190715, + 724104638, + 585775255, + 213300477, + 283216266, + 419709842, + 975664882, + 448612339, + 71274640, + 27598387, + 94291987, + 689564862, + 548846689, + 175983219, + 240276252, + 290199229, + 394538687, + 256121787, + 143009432, + 367438287, + 394442563, + 717471595, + 209714222, + 360434935, + 759874372, + 765051980, + 573432365, + 810746581, + 715663005, + 710010712, + 2763857, + 481831936, + 661443686, + 95870374, + 132516411, + 880559774, + 768503402, + 399817133, + 540463548, + 844118813, + 294850596, + 782850195, + 689819606, + 726316030, + 929551008, + 544916256, + 441345499, + 337263069, + 942843636, + 961349906, + 810245984, + 409859617, + 403634314, + 197070363, + 636858187, + 219616804, + 364343620, + 272326701, + 709793631, + 555674260, + 596338922, + 93668999, + 678707424, + 105172622, + 738240378, + 184169336, + 7871361, + 773418172, + 144385151, + 559938344, + 342624945, + 903250965, + 980799402, + 664392122, + 9975315, + 117967570, + 876600930, + 518678823, + 887314055, + 924462563, + 740080433, + 347010148, + 907877187, + 990812087, + 876308627, + 763008000, + 736172163, + 122521294, + 806475115, + 831140680, + 274879792, + 39869967, + 779150239, + 232861936, + 387763827, + 630654987, + 884427889, + 488325117, + 427315126, + 694880138, + 739844175, + 452514992, + 956608783, + 74956031, + 619535825, + 487361279, + 219641237, + 499595949, + 299466294, + 49004948, + 290132491, + 171375203, + 928768348, + 68229757, + 288890792, + 988466136, + 583057039, + 984146186, + 799107945, + 928032089, + 894103602, + 871292270, + 328090417, + 211144895, + 348212316, + 693270394, + 977787775, + 359111950, + 546279142, + 332189024, + 22152623, + 322392025, + 175957409, + 689972732, + 916707147, + 735297369, + 174035272, + 638381075, + 447329618, + 38039822, + 362833245, + 778764691, + 743706250, + 934681343, + 191923322, + 141578303, + 259270111, + 566616804, + 815187344, + 241029196, + 154055420, + 327307145, + 174591000, + 727167689, + 404140967, + 792025457, + 829077588, + 671289435, + 312569320, + 835069383, + 5447096, + 256222080, + 416942274, + 331572399, + 918874728, + 987799633, + 491290092, + 992672333, + 939429871, + 336987329, + 599798227, + 751748057, + 48623364, + 660906491, + 483298529, + 790604907, + 931970346, + 384818392, + 500389663, + 682648397, + 687212261, + 931635093, + 63561014, + 647646529, + 66429847, + 111976858, + 604910209, + 506679375, + 555515669, + 123847693, + 44492632, + 178847708, + 946204343, + 845354283, + 427846975, + 690556757, + 914308617, + 189403235, + 36675450, + 542238247, + 794804663, + 577442071, + 517924905, + 795204990, + 501340080, + 613354260, + 854322902, + 571260895, + 510260438, + 414373757, + 959194226, + 105045310, + 477394368, + 72800755, + 445731641, + 103854338, + 841523771, + 957791852, + 191532511, + 961580297, + 388877143, + 102309775, + 428357400, + 830081461, + 563818151, + 866259007, + 485835690, + 30082297, + 948589886, + 562392830, + 499109369, + 58433073, + 733283579, + 36428328, + 742298882, + 982643403, + 593203780, + 144755224, + 578059814, + 254472399, + 22301867, + 789998879, + 735889165, + 918792549, + 557462809, + 552573722, + 576530981, + 680153828, + 916392479, + 646974858, + 34567001, + 994679482, + 9460630, + 972487263, + 300018493, + 640747865, + 657751837, + 627670811, + 587663859, + 814605409, + 776005740, + 344540768, + 914442808, + 323409866, + 565987127, + 539745133, + 675037315, + 450123788, + 413095721, + 54159360, + 368457255, + 171562353, + 621533236, + 59200583, + 982705473, + 142943196, + 24181977, + 786801377, + 843283079, + 40385945, + 194742271, + 75718708, + 644665269, + 829591822, + 640312514, + 509973082, + 836543579, + 306452012, + 813042080, + 944898820, + 550143784, + 62021861, + 992978935, + 196696601, + 710776674, + 757759648, + 788128770, + 508886684, + 407131667, + 523136459, + 620527910, + 480558764, + 915736219, + 812216291, + 91417414, + 520775627, + 949658687, + 84409460, + 816577062, + 384304457, + 930699848, + 511428540, + 836975433, + 968245972, + 453251047, + 921779564, + 216048536, + 494252696, + 254735994, + 205744844, + 981264789, + 990061028, + 985782286, + 822067443, + 316563393, + 763292217, + 708024504, + 693075248, + 99141092, + 956296872, + 55694579, + 52732834, + 308486669, + 557081203, + 58042609, + 935091786, + 601181323, + 938701215, + 779116109, + 989803820, + 873890548, + 589353904, + 723945581, + 876703675, + 211910418, + 896307042, + 762777210, + 278865821, + 110798924, + 437579393, + 628929110, + 829831404, + 526410075, + 619011952, + 978008449, + 65222966, + 849172173, + 144839480, + 782970345, + 398869366, + 641298141, + 698001818, + 170673426, + 345647972, + 659858130, + 112495963, + 432970454, + 7230343, + 585967399, + 715821978, + 40623996, + 971749782, + 842350030, + 580042921, + 989912562, + 166642836, + 973760291, + 161765884, + 782228883, + 527819807, + 138626752, + 850353393, + 333606921, + 648705625, + 47313075, + 266982238, + 201833381, + 308526839, + 68814931, + 927686741, + 262022530, + 535614874, + 863188936, + 616955547, + 104202132, + 171104622, + 331238109, + 251912037, + 286572272, + 573456646, + 949203657, + 53043725, + 806243760, + 203265019, + 876486006, + 948937495, + 567449238, + 415256129, + 988070406, + 968023790, + 17019473, + 248737963, + 120681248, + 583983950, + 153993219, + 201935152, + 136164457, + 829871955, + 626291047, + 394802246, + 260007922, + 607931843, + 24306224, + 28575069, + 225321218, + 908829358, + 169220022, + 936512506, + 665776761, + 704549784, + 698417525, + 255461139, + 163951408, + 261229082, + 220008280, + 348623912, + 807148420, + 371106186, + 366690995, + 544609152, + 213870993, + 408196963, + 754669215, + 399795747, + 559323631, + 485832609, + 350352952, + 721747050, + 21631935, + 355573914, + 206023787, + 964425951, + 691307920, + 159549218, + 671420169, + 951126219, + 634927534, + 643582950, + 274406843, + 632962879, + 760518512, + 229811483, + 390881175, + 924757771, + 38194303, + 293272202, + 173491328, + 486019127, + 734258251, + 387215108, + 437262928, + 728554527, + 275024192, + 248976244, + 343245733, + 701258706, + 170540138, + 465617442, + 858198203, + 574360296, + 946008040, + 664094170, + 517178634, + 693040995, + 799594735, + 255316661, + 449678209, + 87199479, + 511287441, + 125791016, + 282384294, + 785396986, + 457604138, + 287610759, + 723403051, + 10837888, + 746035325, + 640711757, + 995757787, + 2202152, + 917093046, + 577936335, + 648767243, + 785286990, + 635011419, + 695112654, + 374068143, + 14921666, + 440382233, + 660237890, + 526475247, + 957351727, + 252635667, + 812396571, + 412310376, + 326907154, + 30634198, + 706007029, + 970271608, + 580512741, + 972748916, + 201325968, + 314261339, + 716665373, + 962091777, + 486226702, + 273466370, + 840975366, + 599150520, + 164993432, + 484979571, + 418559139, + 363203519, + 162207943, + 208330032, + 473511398, + 794841071, + 171891390, + 336414769, + 600986238, + 936969299, + 859143400, + 350403043, + 292803417, + 958133236, + 937969576, + 384765730, + 741217260, + 719124565, + 511975130, + 529929688, + 872979520, + 413094461, + 630884202, + 651374826, + 857264663, + 228977297, + 822943843, + 77199492, + 710743715, + 932154071, + 658944343, + 426960928, + 905863513, + 849222023, + 315065974, + 933274562, + 40403835, + 803059944, + 407747168, + 714968487, + 955036691, + 961766212, + 307500705, + 475154160, + 623864479, + 399106155, + 274460576, + 874887932, + 936834756, + 339899692, + 94033093, + 512791616, + 159687579, + 734508020, + 867806917, + 575669353, + 479473359, + 574347008, + 79762627, + 134124861, + 471750395, + 165249715, + 875142716, + 792987970, + 24874855, + 280763719, + 405529976, + 351781845, + 254659557, + 344786449, + 430895550, + 933134790, + 249828212, + 490208485, + 678075790, + 434169584, + 949903024, + 747154630, + 302454525, + 893883097, + 226358666, + 752566952, + 839129014, + 742747936, + 33190139, + 395772530, + 458036737, + 292028714, + 192074274, + 74568408, + 403968414, + 748157558, + 257293201, + 281945344, + 653838435, + 6418166, + 891108797, + 915633643, + 346851287, + 238668024, + 519068579, + 990641799, + 785190834, + 689000043, + 617317650, + 214079151, + 651673204, + 509008143, + 739303645, + 839388246, + 925063421, + 921156601, + 846270348, + 23338925, + 77029027, + 980991821, + 827897533, + 469982935, + 53943776, + 846861414, + 697151374, + 165612553, + 633591435, + 796789686, + 94826135, + 191030409, + 643245772, + 130417543, + 247948564, + 119420540, + 580850845, + 676206991, + 72685894, + 636684603, + 927693599, + 49440245, + 847822314, + 682549684, + 556752146, + 961680458, + 169120186, + 531127546, + 728504491, + 155076752, + 472477553, + 26185430, + 314397086, + 593668662, + 434302073, + 803071656, + 166722904, + 728113321, + 419246569, + 823603977, + 150361255, + 524260741, + 503555043, + 714625615, + 899435873, + 935657071, + 874663104, + 400776830, + 362487258, + 525738000, + 760317843, + 548463811, + 885266979, + 839427412, + 433041928, + 412050312, + 612894997, + 821381333, + 652561053, + 229504992, + 846168965, + 640505243, + 931920981, + 276540988, + 449906316, + 911718584, + 415403493, + 558731555, + 210481417, + 997112380, + 677146064, + 356596017, + 440393803, + 795920226, + 536832024, + 380483176, + 750339439, + 586263421, + 998945515, + 742636966, + 19095687, + 544759610, + 601077107, + 910875650, + 945314815, + 63859444, + 662491110, + 300032016, + 403559725, + 419986460, + 776754797, + 628474677, + 467268624, + 829082135, + 908578842, + 585907583, + 789607167, + 744806186, + 183096567, + 761609482, + 249420887, + 836197476, + 253923842, + 308179723, + 450254095, + 243805445, + 266396839, + 346532591, + 905313627, + 551598215, + 702201115, + 726758130, + 687676614, + 236631803, + 640582483, + 423115271, + 686022811, + 633283961, + 827195312, + 15568263, + 353725033, + 784509879, + 492037019, + 149962977, + 442760370, + 802224471, + 84215802, + 419503084, + 192316496, + 71993407, + 898152326, + 526961975, + 549858601, + 420927066, + 647960203, + 952264125, + 611390294, + 881248879, + 420701208, + 60215625, + 141109577, + 140160557, + 666087815, + 899711095, + 497256422, + 239930430, + 321162812, + 247695959, + 381869073, + 479077357, + 90739426, + 900726892, + 976853294, + 956843221, + 967708363, + 216888022, + 867880771, + 358897449, + 13482112, + 922833301, + 106553674, + 364182536, + 125102074, + 136642006, + 688150639, + 908680559, + 829094436, + 783161410, + 568528323, + 465539993, + 312580456, + 995303187, + 981020101, + 163170974, + 610314979, + 514265265, + 891956656, + 534089572, + 612165061, + 474487037, + 420431481, + 81497077, + 710994339, + 499216688, + 424426240, + 487816844, + 567122801, + 892902782, + 26150520, + 808970139, + 588523652, + 958430586, + 105232988, + 52316094, + 34727794, + 987544946, + 87835266, + 680533528, + 263981250, + 834389173, + 899284767, + 953714733, + 713657205, + 540007592, + 214744952, + 937463253, + 217212870, + 326849700, + 348041291, + 65211132, + 267468726, + 437899834, + 547960261, + 634687043, + 392830359, + 329034061, + 362074703, + 328208783, + 422784216, + 932991516, + 547859838, + 705978615, + 566715229, + 113056206, + 595149478, + 241510837, + 687025596, + 152375504, + 236767204, + 922545066, + 426562337, + 764458519, + 378479846, + 490049868, + 837941031, + 791007688, + 249012139, + 383285845, + 45636102, + 911597607, + 203463101, + 989067196, + 692922359, + 203195107, + 451818278, + 508067011, + 342071527, + 910130955, + 137533350, + 352096990, + 738630796, + 869751449, + 86932798, + 340287770, + 188560444, + 307565626, + 401961661, + 224216713, + 621863829, + 842680673, + 571616418, + 735386469, + 2994442, + 554920496, + 363702774, + 583077970, + 171947489, + 823150020, + 823902366, + 111183003, + 398388622, + 522257152, + 566670610, + 788013440, + 590697365, + 640831838, + 39024039, + 912499884, + 8811370, + 62327191, + 687633831, + 304313578, + 981335386, + 482320016, + 206110601, + 332061080, + 718366693, + 329269658, + 164039620, + 390897235, + 57110029, + 241165783, + 701173195, + 435585244, + 587926996, + 578277565, + 506059373, + 823881904, + 588590690, + 840384877, + 75079957, + 338120657, + 579233837, + 539072223, + 792473388, + 668530066, + 291709434, + 495383836, + 823482821, + 358797138, + 975488661, + 758708968, + 925414921, + 360134510, + 741241064, + 37619542, + 682589918, + 48862538, + 570095291, + 763958119, + 621446693, + 354067065, + 940041555, + 342589058, + 638973134, + 749428019, + 399463367, + 889464314, + 664903991, + 720245045, + 306576824, + 230806347, + 880052144, + 629948087, + 913718898, + 476414358, + 697858195, + 61381550, + 61461081, + 859594576, + 587650728, + 998124639, + 306126281, + 653894853, + 307950863, + 14633817, + 284023905, + 590365765, + 545910454, + 819049149, + 573339380, + 646451912, + 641630250, + 724397922, + 708891862, + 635458180, + 129075787, + 767080136, + 123487615, + 882529405, + 675313439, + 703226753, + 739187981, + 853046248, + 948038338, + 643249244, + 768863064, + 701097138, + 75531109, + 102341767, + 633534452, + 24761866, + 736101180, + 901665193, + 778152980, + 460992832, + 464506199, + 203942172, + 559441245, + 327089644, + 46981070, + 890113926, + 75116040, + 972911787, + 675457626, + 551810784, + 861759921, + 656744224, + 150777945, + 234041263, + 870554880, + 48222598, + 274714785, + 922810899, + 77014428, + 475706068, + 136451449, + 515841741, + 932306844, + 653963566, + 648096103, + 127387380, + 324983733, + 264651335, + 553422746, + 527078004, + 555777622, + 760112411, + 813247311, + 771462213, + 877911242, + 904042902, + 217633781, + 173158697, + 584727329, + 706707, + 610046718, + 40515473, + 571061819, + 293189931, + 721063574, + 684877919, + 593336402, + 518410949, + 673907818, + 514645308, + 856952067, + 317852271, + 563922201, + 629861151, + 336665376, + 506707673, + 833158059, + 918759307, + 728126286, + 600815654, + 746718612, + 530026694, + 73916388, + 113380899, + 485324156, + 819072449, + 60419600, + 317004428, + 673267345, + 115082905, + 650069318, + 692402405, + 370925640, + 260504939, + 968442637, + 690558453, + 719518542, + 845572865, + 44393154, + 656342609, + 706521349, + 675521812, + 920522813, + 74338647, + 506450328, + 303648011, + 414981551, + 990147473, + 903752679, + 656120861, + 373969947, + 460605808, + 218197943, + 343657869, + 801041350, + 365256237, + 186579864, + 363974994, + 33095639, + 248969511, + 596486751, + 976626114, + 175936801, + 398791517, + 706523353, + 305891304, + 324467721, + 605883243, + 102235086, + 670445618, + 421578110, + 937202171, + 861036786, + 629395370, + 902333728, + 851475660, + 848159169, + 604164741, + 546868877, + 481435383, + 819203296, + 92821429, + 532217465, + 782357409, + 639142220, + 466790988, + 516584104, + 61030522, + 112368078, + 37749876, + 701033099, + 104647262, + 858917270, + 999384912, + 71321166, + 476244126, + 830106372, + 544502078, + 420715197, + 460469625, + 584895085, + 148621123, + 385574952, + 705794784, + 476184414, + 22499926, + 661112901, + 689485482, + 740713953, + 496915368, + 773467369, + 659268335, + 852433556, + 733186459, + 679050719, + 950680433, + 463354019, + 838588445, + 632758605, + 380703242, + 443091731, + 863618103, + 856823436, + 715628120, + 877256093, + 615311867, + 183404594, + 831364448, + 670076213, + 283444682, + 536917618, + 946639188, + 474329183, + 132762094, + 377620255, + 20938794, + 630938362, + 728185366, + 654971181, + 659659924, + 474502329, + 399361003, + 831846199, + 866451000, + 528151476, + 698318225, + 21578227, + 13484903, + 386393512, + 932173833, + 159886041, + 611743992, + 481581898, + 821427954, + 476051379, + 229569326, + 40498099, + 722860691, + 580949579, + 188563007, + 361986406, + 164323131, + 855539550, + 472627050, + 196008803, + 448757672, + 60147938, + 380236897, + 342414189, + 992665181, + 854067633, + 537199697, + 815002180, + 949668564, + 995420461, + 252792146, + 506939191, + 588591261, + 465239896, + 923936433, + 459213428, + 790016887, + 953428129, + 198562045, + 134433120, + 390731329, + 237861089, + 352207466, + 198838063, + 650966007, + 907524701, + 973836631, + 194280773, + 313362887, + 841713715, + 741555664, + 289571749, + 182026438, + 676853213, + 338403868, + 971741892, + 599536672, + 447400313, + 453102960, + 388256185, + 540775774, + 135006146, + 832590058, + 856498157, + 513902142, + 748409569, + 437107926, + 150070716, + 197283110, + 89733469, + 981088839, + 287384371, + 890684329, + 503581152, + 112951890, + 386935, + 223185113, + 820225465, + 180025191, + 261169410, + 498382002, + 882687321, + 406839741, + 902823003, + 224733556, + 624419782, + 921001849, + 924363120, + 371344149, + 384057924, + 107488408, + 817392123, + 560377711, + 150550232, + 727251767, + 484686273, + 795929620, + 97335536, + 690323329, + 399346394, + 651586337, + 100114919, + 189352689, + 403674965, + 778330339, + 955315906, + 458162032, + 88324999, + 914924605, + 543829871, + 640807812, + 422743119, + 724498518, + 64719281, + 858268302, + 422233699, + 462267402, + 988865491, + 687690797, + 113871494, + 423064530, + 972072447, + 43486560, + 278071456, + 984831690, + 818741308, + 82364960, + 502040092, + 729686853, + 617882051, + 628893994, + 233796161, + 558171484, + 443469250, + 915910912, + 872876582, + 206772666, + 966593565, + 306375982, + 989755171, + 176775937, + 225837963, + 77474066, + 948191818, + 117085995, + 173420583, + 476397306, + 912878478, + 521710220, + 132154911, + 577540016, + 747417741, + 748470411, + 103087652, + 775127361, + 622349710, + 851280213, + 310066490, + 674759422, + 166691120, + 652824521, + 449089140, + 468357719, + 969748336, + 380534571, + 807099450, + 296158404, + 220916255, + 823203704, + 944496576, + 521983178, + 956426189, + 998398177, + 617619846, + 156418679, + 93712391, + 362638936, + 753430600, + 26038008, + 466165272, + 328264083, + 384970500, + 819703612, + 373541233, + 722749887, + 584543402, + 411704180, + 165278640, + 306712970, + 481492020, + 14792935, + 994039037, + 778079817, + 10797187, + 299941497, + 135937569, + 23554048, + 624234941, + 44403889, + 594511540, + 778366993, + 341523603, + 505308650, + 439021223, + 403041835, + 672153445, + 758973978, + 449806207, + 496684321, + 645325154, + 351693378, + 596645329, + 313193861, + 664630058, + 714591689, + 600853143, + 815744859, + 113013761, + 919272573, + 801116015, + 665991004, + 517341576, + 985084526, + 809821486, + 282384491, + 58315628, + 330791718, + 428356156, + 814152980, + 868066649, + 531323996, + 23821439, + 675287952, + 273833187, + 389878180, + 946274035, + 291083151, + 333883021, + 186152604, + 573417850, + 808374986, + 775059355, + 799597656, + 819308879, + 996826153, + 806820696, + 54120541, + 635740259, + 357873666, + 545269632, + 605499640, + 671166872, + 461812857, + 114856031, + 133484564, + 206773696, + 836706678, + 342845268, + 414529581, + 897124006, + 816038766, + 646947121, + 945231149, + 816991153, + 892650799, + 47249382, + 162285210, + 95957867, + 767761183, + 993420812, + 635432003, + 323889691, + 450636372, + 388490735, + 62915124, + 203797467, + 614608242, + 619663878, + 968085565, + 995891825, + 490866337, + 15929608, + 122271888, + 795415673, + 356177681, + 784433321, + 570130425, + 702662225, + 122958230, + 819513736, + 35730060, + 894722321, + 975275319, + 763543796, + 850828039, + 334775150, + 492257525, + 959334232, + 237013909, + 305682828, + 156520940, + 35991473, + 66198886, + 281137634, + 969016320, + 782453162, + 343968108, + 243713420, + 374114407, + 516562255, + 352288841, + 666834571, + 85608581, + 803140843, + 242398302, + 31688794, + 804221635, + 361036875, + 249129344, + 993671805, + 609750962, + 446212271, + 485951259, + 985671232, + 577935586, + 862199000, + 632148540, + 279508034, + 721746014, + 237200564, + 652212722, + 87685516, + 25143314, + 398122225, + 66972651, + 491896791, + 220593876, + 539336501, + 663497910, + 526153292, + 269715156, + 495593716, + 42621373, + 855786274, + 90687105, + 780527801, + 27806373, + 438172694, + 301675144, + 208317744, + 817116931, + 752722689, + 429310674, + 258181958, + 768977567, + 283628015, + 351072331, + 544837875, + 760515204, + 331136661, + 938022905, + 429787769, + 48229663, + 438247536, + 589444452, + 904963613, + 822375608, + 920165216, + 510679307, + 129785810, + 628752487, + 304822709, + 647592754, + 54721439, + 970901985, + 654793480, + 677833424, + 928274087, + 187702904, + 564833637, + 753722930, + 537256772, + 914386439, + 564632792, + 806678587, + 218615742, + 712809008, + 18456551, + 606560007, + 652254524, + 362382103, + 225610908, + 45108532, + 149382676, + 311793692, + 449915414, + 460217855, + 404116920, + 979543882, + 158669251, + 874690777, + 844661936, + 365098734, + 684341563, + 849928485, + 221425130, + 759669828, + 361040617, + 762331829, + 657807221, + 960325681, + 988574631, + 90801365, + 177369198, + 847767572, + 246623445, + 838601621, + 930521264, + 119407793, + 593388444, + 489313410, + 448574489, + 349496338, + 476886260, + 204618925, + 798812712, + 948800524, + 982903132, + 817607822, + 122145922, + 939011800, + 761150305, + 768746374, + 904255629, + 377328698, + 861067152, + 565840120, + 814080805, + 846197143, + 100070009, + 115121747, + 4794494, + 437869142, + 125923431, + 909143679, + 215445248, + 996053455, + 714906352, + 113136051, + 344378635, + 897365626, + 112980894, + 912468444, + 512974104, + 790273993, + 820982727, + 149344919, + 860445130, + 603826364, + 17524662, + 71617417, + 668881656, + 691324148, + 317772586, + 989487738, + 761531163, + 573906794, + 283745905, + 843418579, + 855624374, + 80911880, + 579115416, + 723709971, + 761375577, + 227640224, + 806909587, + 198799948, + 429370687, + 416547153, + 704520613, + 522049522, + 388032450, + 878629882, + 405575040, + 389638498, + 435374108, + 95257077, + 232218936, + 186557331, + 384518599, + 722751421, + 451478752, + 987891555, + 411215134, + 319701476, + 626044609, + 929851570, + 696956615, + 593719023, + 165631373, + 31113609, + 277772666, + 384098694, + 681146999, + 60579862, + 27969567, + 199669819, + 945161475, + 463130709, + 536779528, + 9918650, + 452184757, + 343552320, + 328368690, + 172775376, + 534360189, + 518240281, + 222148990, + 168915281, + 22111349, + 54850381, + 268094778, + 721281870, + 373897306, + 674275086, + 231091274, + 985059674, + 708807550, + 465793647, + 252820800, + 995408259, + 144243848, + 787001796, + 142889231, + 920236296, + 541023273, + 827037954, + 725236611, + 702586499, + 458556832, + 214444598, + 177376678, + 688758570, + 889195801, + 325250553, + 494992, + 335245354, + 663800100, + 553846389, + 713664205, + 40795768, + 713040466, + 352133193, + 257962983, + 435161560, + 540558180, + 148467171, + 824899859, + 591623284, + 287770878, + 844592551, + 597840141, + 756672696, + 125161684, + 77625643, + 727733629, + 677401932, + 977002146, + 475075822, + 547839372, + 487390404, + 359103874, + 820885348, + 573672410, + 959547848, + 964485433, + 755110607, + 391081756, + 414992551, + 225702950, + 87427772, + 754353808, + 549197043, + 810235068, + 994782119, + 700626406, + 727978273, + 728394893, + 66314870, + 678146814, + 864057926, + 319734341, + 972070207, + 114557696, + 30985117, + 643142626, + 697571160, + 404360373, + 999781036, + 451921543, + 196494961, + 121389722, + 583451070, + 361961662, + 550465955, + 499291816, + 763327108, + 400808047, + 242921605, + 872574074, + 228589764, + 438866545, + 753842, + 226530700, + 286017299, + 956966107, + 569283358, + 952846502, + 9105751, + 368453422, + 299372519, + 261041244, + 878080173, + 773411448, + 314011997, + 852671694, + 657067561, + 401471727, + 704111140, + 645487496, + 996917309, + 851595852, + 114532715, + 940287214, + 5412057, + 176538797, + 182618370, + 354439696, + 170946495, + 210228363, + 789932920, + 724540540, + 875873137, + 991543791, + 59365427, + 957541799, + 595436325, + 595178129, + 646449991, + 999135056, + 755600978, + 466862105, + 521342747, + 622443129, + 963403392, + 332147557, + 629948104, + 287601044, + 472243910, + 751373365, + 589991470, + 770609168, + 255927480, + 242694466, + 705231654, + 926559103, + 417379338, + 745872627, + 985551716, + 587685809, + 309817047, + 574440066, + 955196538, + 684384664, + 535745911, + 3869235, + 65638140, + 766068824, + 127804175, + 998406814, + 416767052, + 623676990, + 802239553, + 623707060, + 854335206, + 755612068, + 314706117, + 430011066, + 80602555, + 667295792, + 39906305, + 654638183, + 860533618, + 461805653, + 570673212, + 97563302, + 144850872, + 712722693, + 654225117, + 395554701, + 110128394, + 143624490, + 592734389, + 985680928, + 297547688, + 940039435, + 140966669, + 837116361, + 123340973, + 905986838, + 512456135, + 49845206, + 938100224, + 83103860, + 755892854, + 683031408, + 482697864, + 883298326, + 223001629, + 334618454, + 723478739, + 226763291, + 810665668, + 664403323, + 61829583, + 602190449, + 298713246, + 927340639, + 253523770, + 653593048, + 18338981, + 671532829, + 810477206, + 51578726, + 366403504, + 635890108, + 586673215, + 883907689, + 446026920, + 82860574, + 858344365, + 617077824, + 281208964, + 146278779, + 703798050, + 436195336, + 917055911, + 773032465, + 40973761, + 233941271, + 176759421, + 977889077, + 803613325, + 622223644, + 729276593, + 985427806, + 538269071, + 854683567, + 946551100, + 656628143, + 686292560, + 907040331, + 829731296, + 437748484, + 973992568, + 141824555, + 794335140, + 827409377, + 294099587, + 386553357, + 232856843, + 950893595, + 882814603, + 143094950, + 196402292, + 195292356, + 154475156, + 415621172, + 337788857, + 757532708, + 836286159, + 327559762, + 398027270, + 93946094, + 592488156, + 933427054, + 376944623, + 214478089, + 814816713, + 651659755, + 540363005, + 735017108, + 630485858, + 743448954, + 518071660, + 308072573, + 384779151, + 270179497, + 368075025, + 777609333, + 259367444, + 192071033, + 852146396, + 527426831, + 686352, + 910339518, + 768960781, + 458014174, + 873725932, + 821371367, + 961874001, + 323862525, + 599315539, + 976190282, + 244224318, + 562162857, + 390681672, + 903476493, + 973667245, + 747892227, + 344239338, + 598342065, + 181720354, + 660719179, + 853341242, + 721247596, + 817576524, + 646629034, + 369969766, + 275490552, + 542983348, + 391694266, + 312587840, + 577918652, + 483013297, + 222577962, + 246050625, + 550021767, + 631983411, + 124676445, + 403831237, + 30431663, + 202772267, + 383986644, + 418308562, + 537984796, + 639572477, + 981804859, + 122946880, + 661104476, + 795495545, + 153912772, + 531381974, + 718905464, + 268540152, + 562579601, + 702517233, + 236615789, + 593694061, + 842220953, + 284363147, + 445436719, + 189572020, + 130567489, + 134639331, + 345543873, + 973394064, + 165956637, + 278797541, + 384444102, + 217315862, + 83807333, + 326981675, + 484164694, + 80165886, + 511387076, + 750879124, + 622351447, + 57149934, + 572776425, + 851344389, + 492686069, + 764158670, + 100337843, + 811227648, + 367243272, + 849258581, + 402510371, + 4923888, + 214958230, + 981713433, + 833733153, + 199881005, + 141725982, + 930995332, + 60004419, + 858554703, + 787094236, + 781794052, + 237227928, + 225466738, + 427926591, + 482129408, + 443739531, + 43355532, + 337453283, + 804945489, + 2491058, + 249849165, + 398913822, + 467791624, + 400509065, + 459581367, + 962990925, + 690989829, + 364169054, + 895165168, + 532778156, + 662061056, + 198905049, + 304037144, + 462461953, + 579239787, + 826514406, + 298104478, + 400743947, + 996545477, + 389017394, + 156585037, + 231349437, + 894406530, + 699143037, + 281860178, + 240625350, + 658017814, + 183144767, + 37835281, + 982306868, + 823892625, + 538353285, + 22085152, + 540260334, + 122756032, + 939637118, + 661357847, + 152499782, + 652415242, + 711829352, + 160895697, + 833299055, + 380043790, + 61047311, + 455280624, + 427003562, + 127377627, + 263371423, + 352265402, + 555370632, + 3342546, + 546515490, + 915170071, + 320970482, + 309331195, + 866003123, + 445329210, + 239760193, + 270145790, + 262699349, + 109063579, + 293605958, + 28028742, + 43108044, + 714531802, + 292831882, + 5258158, + 960578706, + 174313495, + 50686647, + 38306937, + 263794623, + 34698030, + 545961364, + 417771782, + 432359561, + 595953435, + 385752188, + 548660554, + 285702298, + 673161030, + 608012755, + 205230966, + 498956144, + 368135075, + 216958840, + 446938231, + 568591358, + 331547128, + 559376318, + 68611527, + 665301170, + 34844435, + 516892973, + 845043683, + 240248260, + 401307982, + 567153471, + 960405747, + 153609039, + 857419861, + 118309051, + 547682379, + 648148426, + 991952539, + 882545773, + 184061399, + 999070781, + 765982521, + 267411076, + 419502384, + 124165446, + 224058051, + 857998522, + 14496073, + 264213459, + 986820692, + 570282129, + 211753213, + 245597268, + 930143204, + 774551498, + 514652876, + 925073693, + 921086628, + 640773887, + 73060225, + 529715420, + 40958571, + 366734118, + 683946677, + 432313285, + 992760200, + 784693488, + 930677383, + 619151604, + 805284759, + 457772432, + 592456091, + 485100032, + 955898868, + 391900453, + 219676832, + 562759638, + 430856434, + 967077015, + 421103699, + 992963917, + 110482359, + 777569921, + 470580703, + 460032189, + 233271275, + 82572015, + 650552543, + 189372307, + 550063160, + 647746980, + 236384115, + 179347295, + 402139142, + 159629222, + 273418934, + 139601570, + 639676421, + 652064016, + 84453428, + 465043456, + 114055612, + 584001438, + 882590566, + 676394963, + 483216179, + 745966194, + 825327985, + 985623490, + 306947409, + 409524159, + 138263163, + 64619898, + 417338433, + 406408681, + 176380047, + 442151325, + 151506186, + 149746198, + 474173500, + 102746034, + 226566556, + 996627825, + 966584070, + 365471770, + 849933266, + 413800255, + 598244754, + 126970922, + 185758186, + 706461626, + 401986302, + 678089530, + 630918032, + 620166883, + 400240225, + 221398836, + 433075871, + 195422184, + 666716900, + 602329513, + 751455164, + 227663599, + 121331035, + 46276718, + 596554704, + 50099848, + 554281974, + 271420442, + 500849468, + 661363368, + 634675694, + 460763583, + 913662985, + 991783536, + 333018579, + 731640294, + 559230455, + 999669244, + 758691851, + 593952435, + 511148631, + 493139256, + 94739801, + 638739681, + 281785165, + 660608903, + 886479304, + 978275634, + 683136324, + 434348291, + 724037738, + 886238552, + 683542926, + 3901775, + 770688715, + 985889474, + 744394045, + 687499632, + 112022925, + 709757837, + 808444152, + 388990657, + 414047616, + 771749579, + 40009897, + 498367058, + 958240729, + 510152993, + 969036435, + 944212125, + 311926042, + 395130471, + 761896151, + 180718861, + 980058142, + 562067677, + 69013272, + 789419877, + 169030287, + 934204461, + 315969032, + 819974762, + 550314188, + 144251778, + 822839592, + 632707453, + 420496940, + 348080391, + 772142856, + 290303779, + 943238844, + 849751516, + 485101918, + 860570586, + 469092857, + 46109389, + 874054586, + 699654764, + 761626656, + 568016869, + 600632192, + 355393880, + 762871144, + 90723412, + 421396573, + 821959691, + 688529170, + 1176013, + 636078683, + 112883067, + 320579043, + 381618296, + 65758063, + 25110816, + 490864813, + 386913272, + 267005790, + 562375298, + 289107207, + 762698447, + 434785338, + 856447011, + 259157584, + 270443820, + 38413935, + 900862060, + 219634624, + 624575829, + 287227775, + 972836461, + 345965740, + 122320627, + 994577485, + 892542517, + 410959298, + 971836054, + 585178827, + 117477242, + 84885627, + 212011083, + 294328681, + 180829844, + 579330251, + 12516062, + 70827964, + 248185109, + 531725514, + 74432849, + 906905354, + 514687983, + 780610483, + 153238624, + 849709297, + 946298535, + 53595615, + 745693607, + 804622002, + 54756627, + 43445771, + 681610311, + 38927291, + 250831651, + 92816901, + 208539633, + 621293214, + 38923469, + 40014046, + 94843065, + 835306181, + 420634293, + 34189616, + 137708148, + 520134747, + 933145517, + 831535807, + 123049281, + 651596986, + 290989476, + 517207984, + 479116597, + 81926487, + 304904974, + 813467686, + 898725379, + 136962177, + 297897895, + 269825097, + 250849752, + 841034435, + 52275124, + 410518997, + 430127781, + 228071649, + 857447845, + 538068858, + 870164542, + 486173353, + 408732220, + 508445817, + 690253051, + 460612092, + 861451465, + 825936684, + 792543852, + 33860420, + 246938348, + 74650582, + 274397244, + 779003226, + 47608585, + 373548413, + 729452187, + 450947645, + 64419561, + 570761831, + 893669977, + 512129496, + 560247894, + 157216026, + 460511522, + 286346537, + 125211998, + 68607530, + 453266903, + 322374612, + 609662657, + 941008795, + 447510415, + 622127857, + 232525273, + 271107278, + 146650050, + 798543450, + 199014443, + 378559878, + 2556259, + 485621987, + 525607726, + 982004596, + 891950318, + 691909166, + 986595406, + 477928614, + 879722556, + 343044273, + 843756926, + 934192441, + 734762611, + 451061712, + 218968049, + 164305574, + 360301957, + 346527467, + 3541627, + 831749710, + 554744489, + 863022260, + 469664021, + 195610995, + 716813815, + 468569610, + 505213642, + 891866880, + 497163608, + 516967543, + 663054584, + 17592232, + 266839037, + 75364631, + 640890895, + 42432106, + 400458258, + 50573085, + 635496654, + 987670980, + 54635066, + 106795671, + 287172203, + 407075415, + 987319132, + 14555118, + 364617675, + 762036431, + 130174471, + 746255821, + 523371353, + 192952137, + 917919583, + 592421069, + 260621830, + 727676083, + 718418651, + 478613439, + 341651556, + 32387074, + 33993304, + 670410400, + 778137207, + 816385576, + 779768161, + 348218763, + 558107106, + 377331256, + 348076380, + 463754910, + 968312238, + 623691316, + 843438135, + 192144111, + 263062791, + 8396254, + 188375947, + 268693563, + 655663148, + 980204049, + 662748233, + 886987069, + 500848743, + 127991937, + 90328199, + 655925105, + 802214454, + 551894196, + 338525449, + 272553358, + 89074570, + 403690229, + 750680529, + 963767653, + 348220040, + 992991157, + 481705836, + 368971410, + 520848735, + 487146815, + 200981416, + 473334755, + 102479729, + 150311732, + 733699420, + 994750700, + 701747533, + 176834944, + 953437533, + 290193853, + 770726758, + 323588193, + 875700073, + 247099866, + 94618591, + 244764061, + 295905921, + 730670025, + 438770849, + 646314144, + 167970305, + 672538052, + 707512052, + 247123584, + 608636102, + 66828623, + 932791585, + 697725469, + 739802925, + 417783928, + 530322736, + 689774871, + 936311568, + 241103937, + 3521906, + 943169413, + 818582953, + 441718464, + 736967953, + 32964558, + 876680770, + 571792946, + 877812978, + 298006531, + 946872519, + 818601383, + 397880826, + 306917487, + 974441601, + 417490162, + 596268138, + 550148939, + 728347200, + 525715189, + 252588339, + 159300732, + 908036027, + 485683162, + 319262407, + 650688839, + 444978653, + 675148744, + 663825138, + 595867279, + 601918782, + 509387871, + 387643530, + 252143331, + 175342659, + 369316536, + 955448187, + 468611249, + 827371036, + 106674969, + 792723706, + 921717691, + 261315152, + 438355800, + 536649863, + 118600045, + 580022577, + 837980446, + 915027864, + 488953072, + 166942234, + 121702104, + 282827493, + 33811094, + 264601835, + 697395753, + 758331025, + 460562419, + 661776659, + 603126663, + 135508693, + 18070721, + 816161078, + 43800422, + 745569448, + 297127530, + 252617221, + 409557014, + 504670446, + 880394325, + 819534188, + 449546171, + 669337584, + 820619341, + 184891006, + 809311187, + 159490172, + 934081215, + 471144905, + 917871470, + 383249098, + 767639231, + 501804806, + 867699982, + 97482663, + 991894058, + 502902913, + 457924233, + 235772728, + 120059640, + 471404572, + 418640164, + 796749337, + 884715396, + 373490539, + 315204547, + 875694208, + 882820176, + 571585124, + 795112399, + 899878622, + 950346063, + 734371932, + 435264627, + 823235001, + 764596698, + 944984736, + 724990926, + 518324522, + 208374588, + 143958253, + 295957868, + 997607882, + 622113846, + 89409853, + 324426646, + 526812725, + 887937857, + 9242879, + 868877127, + 391738492, + 565950121, + 291059769, + 922024566, + 415464520, + 551954645, + 807666712, + 413521823, + 228025840, + 526452536, + 562960385, + 906565819, + 803103892, + 666267790, + 929723599, + 976953569, + 111074976, + 429420284, + 837161900, + 312739976, + 12447175, + 74041168, + 687543860, + 633979864, + 846578667, + 450391738, + 107315174, + 233237385, + 80426975, + 311773273, + 590603851, + 162972060, + 912706750, + 517798952, + 720431751, + 591764198, + 798839458, + 370700607, + 636758625, + 651751707, + 725876751, + 831139589, + 202094277, + 352227371, + 743385763, + 493988052, + 891721329, + 313094736, + 198719551, + 84095382, + 208912988, + 157142055, + 466731154, + 963034302, + 665968701, + 316810614, + 199275182, + 934727791, + 797407116, + 257650561, + 416314489, + 631506157, + 614898732, + 691145005, + 586859638, + 836139692, + 409334067, + 887604882, + 531412748, + 431268935, + 722847932, + 870789722, + 625150397, + 767377140, + 784795644, + 342128836, + 241530187, + 112350823, + 769080106, + 353760448, + 53585152, + 319520015, + 642906548, + 3268567, + 616176553, + 565160808, + 238703460, + 945973409, + 193817389, + 652493598, + 388666686, + 122337561, + 530505008, + 556664850, + 451765895, + 612451766, + 564998699, + 980721121, + 670499449, + 486266383, + 685585232, + 983390550, + 515573142, + 723486808, + 429971424, + 186489493, + 900915107, + 446162002, + 44195415, + 721458526, + 419382420, + 38472364, + 833236265, + 742693020, + 152289252, + 788193186, + 158534880, + 709857716, + 749692283, + 838669423, + 246931602, + 432779306, + 452892037, + 379150706, + 932674412, + 834895791, + 63823237, + 971883606, + 19950235, + 125686603, + 184080153, + 771784856, + 931889805, + 910272493, + 91086825, + 672174521, + 129873723, + 120628653, + 153232096, + 421582024, + 134854291, + 857585432, + 791909848, + 886973026, + 684807308, + 522339755, + 27019515, + 120986756, + 93938277, + 394714582, + 137916484, + 545632001, + 416067371, + 955901998, + 737197454, + 276881529, + 200880494, + 200210786, + 201382939, + 88603172, + 968466280, + 946719592, + 852109140, + 170208850, + 618661849, + 808755398, + 93699019, + 472965026, + 666049850, + 864672953, + 202150658, + 146219364, + 529903725, + 694968427, + 774710888, + 695690527, + 975561063, + 543791842, + 712420773, + 339634466, + 412937220, + 445125911, + 816632838, + 180353024, + 794988472, + 272128307, + 558280784, + 685474672, + 794226082, + 308420646, + 161604439, + 664740149, + 57270111, + 671706433, + 403836511, + 690809050, + 639963225, + 257216895, + 967186256, + 877003452, + 33371717, + 678943845, + 205349068, + 204266438, + 113014077, + 311831096, + 271180892, + 230863634, + 834664394, + 189741775, + 225454859, + 701649003, + 28558475, + 46024313, + 129103814, + 927831952, + 336871941, + 268368470, + 534710260, + 98266561, + 860456173, + 58303246, + 713763110, + 545122597, + 304308805, + 377925326, + 967056249, + 24270457, + 492144901, + 963185690, + 575042937, + 676016448, + 572412148, + 127449999, + 942812609, + 464498389, + 686975585, + 634310698, + 726970388, + 223304640, + 392076644, + 37436532, + 999577952, + 433596510, + 450893746, + 41594508, + 938064667, + 162362543, + 180567918, + 330826407, + 831883855, + 872498659, + 905374879, + 234314456, + 1690028, + 932882230, + 813821405, + 897120941, + 610312780, + 153021946, + 394075752, + 564315820, + 217724865, + 645556053, + 201955868, + 432667550, + 625254382, + 100396400, + 407275555, + 159267747, + 266617410, + 505037638, + 187305277, + 421879283, + 329845624, + 845971555, + 932712123, + 794330869, + 280222316, + 993534372, + 15709157, + 410064240, + 45223373, + 130810233, + 181848167, + 972495506, + 855473340, + 184899409, + 276596449, + 361359373, + 197311659, + 929170490, + 154515025, + 612426231, + 706645594, + 716582270, + 212234101, + 949264455, + 246580819, + 472303767, + 387761508, + 438163293, + 373034005, + 752732522, + 676156721, + 770717256, + 282166512, + 414653065, + 239175977, + 947929162, + 31315205, + 632910563, + 918021486, + 449701935, + 732284512, + 705089200, + 410280868, + 567651668, + 499123066, + 623183068, + 648501761, + 7725981, + 697760836, + 680474976, + 267185913, + 86724888, + 595682747, + 326720240, + 338784224, + 643186769, + 894638394, + 779067952, + 518106609, + 652334385, + 45367437, + 306138260, + 754313117, + 882783693, + 856647229, + 996142913, + 928719098, + 582462674, + 770351642, + 48025526, + 268455896, + 901856644, + 987586738, + 311824759, + 868528826, + 43557545, + 243134916, + 901640220, + 29174898, + 495498466, + 364574572, + 124758335, + 7676108, + 588380837, + 686922015, + 732555383, + 474906951, + 983070077, + 559261369, + 377986296, + 225211041, + 525653320, + 220795793, + 39190849, + 938714152, + 100850287, + 532570449, + 184165016, + 274486516, + 606523033, + 39713904, + 618708245, + 472665290, + 62905052, + 922767035, + 649502393, + 125297053, + 88722436, + 316629164, + 16682629, + 263267114, + 276770014, + 295062126, + 379134026, + 560665854, + 690349664, + 489001678, + 67937508, + 314009954, + 463869681, + 769704707, + 312100972, + 543248859, + 148302438, + 686338912, + 217231154, + 109690457, + 357692698, + 480765785, + 779119801, + 613561320, + 451754302, + 228132163, + 221412586, + 121589493, + 847573833, + 866828181, + 556242893, + 712003522, + 474446048, + 70029459, + 165874727, + 774201826, + 245574651, + 809070706, + 13008546, + 695215898, + 683067125, + 763593209, + 764710607, + 489313451, + 796268962, + 196597499, + 251558476, + 51341986, + 740910897, + 873204250, + 249131287, + 667507174, + 786856346, + 604474983, + 942253712, + 837743906, + 713990862, + 668204701, + 705857922, + 899556484, + 481658146, + 954306340, + 462799196, + 408862387, + 314726495, + 429050331, + 807263256, + 468763545, + 204361148, + 508259725, + 671412127, + 615761930, + 877899480, + 970615258, + 227853658, + 753566040, + 610081705, + 645749538, + 462300112, + 681249544, + 275807651, + 479644612, + 48748794, + 24844886, + 895940714, + 433970387, + 687222785, + 124592386, + 565405950, + 456695031, + 626509407, + 18150260, + 284511170, + 37810205, + 934391563, + 423893106, + 960097671, + 584923487, + 188729211, + 950909944, + 837558087, + 327692653, + 858304808, + 400231520, + 475217469, + 677530166, + 155821128, + 942491270, + 16444835, + 479988130, + 558363586, + 189198735, + 751679344, + 858475479, + 902405036, + 217947462, + 465251689, + 761568755, + 747427843, + 460037280, + 183235588, + 318795864, + 362667376, + 572179478, + 744213751, + 978238392, + 940658530, + 403486194, + 109213485, + 829453427, + 20394071, + 901216926, + 681821836, + 953926582, + 13300776, + 10681424, + 755248434, + 242720529, + 686708382, + 382546355, + 636177389, + 728025130, + 862204907, + 846166989, + 976762670, + 682555094, + 815289826, + 908553720, + 827180134, + 582985652, + 494652516, + 723567369, + 630844740, + 430517347, + 751647587, + 440188199, + 777122922, + 571440430, + 838592354, + 653873765, + 136228969, + 203934228, + 635274763, + 63272117, + 969045804, + 812242788, + 314170822, + 861884924, + 893357962, + 727143427, + 336358730, + 318791986, + 617264357, + 386186885, + 102880216, + 140639030, + 897868620, + 890232980, + 209394415, + 230074373, + 505083221, + 238948881, + 208252468, + 975355388, + 98368664, + 95480383, + 611957140, + 755038565, + 112340234, + 107372298, + 282964981, + 59454795, + 881044741, + 467207094, + 409453124, + 56606141, + 651896222, + 718951682, + 326917272, + 146368147, + 482080110, + 885369886, + 471896742, + 925897479, + 686605303, + 735037199, + 559209066, + 332676394, + 229659200, + 400785554, + 552179900, + 821141865, + 448169209, + 570112747, + 339462652, + 188532255, + 561273645, + 744969872, + 380669713, + 672318286, + 146690548, + 91741325, + 380885031, + 977518244, + 825548322, + 616080575, + 559251848, + 586438587, + 775199138, + 435295099, + 319868821, + 613649805, + 849405103, + 114212011, + 355672673, + 964248912, + 620258708, + 471262175, + 954996483, + 960138710, + 688094520, + 775210168, + 696492812, + 57686194, + 110404064, + 442305718, + 83428432, + 502177232, + 935689106, + 581167159, + 78504597, + 624937500, + 730342428, + 755428666, + 100159332, + 604288964, + 968216276, + 385884642, + 868759727, + 383356248, + 345206870, + 36814550, + 277183278, + 583804276, + 616420055, + 775059128, + 847835043, + 139488823, + 580987814, + 652493418, + 696486925, + 478440735, + 360700735, + 595793307, + 181137332, + 563852413, + 267774103, + 825120992, + 214720247, + 5318311, + 524436263, + 461688175, + 913288165, + 980742124, + 147904858, + 561681453, + 401165469, + 355073056, + 125008541, + 321218820, + 15908594, + 423015611, + 659907261, + 740488558, + 196570463, + 380714533, + 22107340, + 205233727, + 479035013, + 278836630, + 536593570, + 267994686, + 368908909, + 396765180, + 711518235, + 857313996, + 59356538, + 731472739, + 519640328, + 959942868, + 408844447, + 254480486, + 968014610, + 484256446, + 545374673, + 136703931, + 30669465, + 5655597, + 303716087, + 819891267, + 319826206, + 439503712, + 447309052, + 433973195, + 197247272, + 226285280, + 178649181, + 682763048, + 702168261, + 592791496, + 69055537, + 879816207, + 422873596, + 64957935, + 606980159, + 720596994, + 782342545, + 14625896, + 607151750, + 602873833, + 539892258, + 950208134, + 835865482, + 4447765, + 423035275, + 775139035, + 151728578, + 315317838, + 16898165, + 844024823, + 372920263, + 905799025, + 273008680, + 874673976, + 176402825, + 163833626, + 544752903, + 357546787, + 806690655, + 478831369, + 158403968, + 470499899, + 762579643, + 745619967, + 533962789, + 987236412, + 645546035, + 646352823, + 289185650, + 651287169, + 766274199, + 643506546, + 611287705, + 59352029, + 944461980, + 309643678, + 734119328, + 347146702, + 590550647, + 60749610, + 158714924, + 580457711, + 333714420, + 856518404, + 464755333, + 895477869, + 663289463, + 895396732, + 501001558, + 85266375, + 379875325, + 298463576, + 755399790, + 244318525, + 580187875, + 7199134, + 183290209, + 962292727, + 992089208, + 134538998, + 200683816, + 645861912, + 865923905, + 78535994, + 281937871, + 173574170, + 398454248, + 860958422, + 637437768, + 624320127, + 20126064, + 658493639, + 765097934, + 57137425, + 683783651, + 679414790, + 297471854, + 341076940, + 956229375, + 629961940, + 847381884, + 399607287, + 599601074, + 43833924, + 42150779, + 208563553, + 610307813, + 98659168, + 933330881, + 898833570, + 997420634, + 389224083, + 884233642, + 872788184, + 238451280, + 470201872, + 770043293, + 371300959, + 295112562, + 891370563, + 728976045, + 995191024, + 320882776, + 194398767, + 292269689, + 117112992, + 678423562, + 487333118, + 95765960, + 190009770, + 348993691, + 260041689, + 699134365, + 471678793, + 342999415, + 122737384, + 894844054, + 653383246, + 337290883, + 3065964, + 237673342, + 157268126, + 708047007, + 773257874, + 562216848, + 683285690, + 986336100, + 535889424, + 26985864, + 872837416, + 272284351, + 460016280, + 185858984, + 429584916, + 585603286, + 581305222, + 133472310, + 681119877, + 246471283, + 403621953, + 846844353, + 781549352, + 187546341, + 879255202, + 452058691, + 569854191, + 27063255, + 487457855, + 641487822, + 9225698, + 449451784, + 307541033, + 708160509, + 745471212, + 861208075, + 768232471, + 167953326, + 233360853, + 175217320, + 437741600, + 99932833, + 330317052, + 90319782, + 20707655, + 372037950, + 176977836, + 585825723, + 196646106, + 137246156, + 112941997, + 740407981, + 790528804, + 522747088, + 291174166, + 390972587, + 615610314, + 484877548, + 217550936, + 897262751, + 191692754, + 760104027, + 257288794, + 509702830, + 507258890, + 132814310, + 196376917, + 663851522, + 852213852, + 419901023, + 949985895, + 22477927, + 231685824, + 567728211, + 214503116, + 194357603, + 790071354, + 792416044, + 749560886, + 210263952, + 660997683, + 840210728, + 793519616, + 354485711, + 198716207, + 194504322, + 454804011, + 77875936, + 344367387, + 225936631, + 69006046, + 610655039, + 878431516, + 721522978, + 393191837, + 873482784, + 316248801, + 993193659, + 712431810, + 558637298, + 863284362, + 355851112, + 99164405, + 672089354, + 838002714, + 239147862, + 418511889, + 329898526, + 683759881, + 128348574, + 531006072, + 721437774, + 565902759, + 111930463, + 902260402, + 386917368, + 197682330, + 334218947, + 923375749, + 638396654, + 202030766, + 802341545, + 260902797, + 743865100, + 900054634, + 537211025, + 629316524, + 85982149, + 436084541, + 687383101, + 352705514, + 593182780, + 335298662, + 15149435, + 892675868, + 706853099, + 818082592, + 834324972, + 222456075, + 168148103, + 249865195, + 855199946, + 654598886, + 304808561, + 483756325, + 575073647, + 424156165, + 923837106, + 423847277, + 333883018, + 702480469, + 960381536, + 832561886, + 374187823, + 361017231, + 790998837, + 285740862, + 139184071, + 860486939, + 853034367, + 945175819, + 62072175, + 300620109, + 744503867, + 89484259, + 503897498, + 392232511, + 232649891, + 713272552, + 279424593, + 531796026, + 217130314, + 157248173, + 712937081, + 488342488, + 37423682, + 343881772, + 536638416, + 377484952, + 858221762, + 849246978, + 487246932, + 660743520, + 18719792, + 556132483, + 801771864, + 719160610, + 662869582, + 97364353, + 807212759, + 256972176, + 26517698, + 494417720, + 424395535, + 128579660, + 221917257, + 544474030, + 282443565, + 92252792, + 986956661, + 337155475, + 858532998, + 80484372, + 528893305, + 801294870, + 60291982, + 952617324, + 996827571, + 998796880, + 944318572, + 544525289, + 578532461, + 534988074, + 875565775, + 53838220, + 140211625, + 107183450, + 816591767, + 603876683, + 23032991, + 295109360, + 301241956, + 301107275, + 550180524, + 154912203, + 387673283, + 696800161, + 131789624, + 254069311, + 550567955, + 276436431, + 174419605, + 451616086, + 950905114, + 320452390, + 683127737, + 502708025, + 54655819, + 501388054, + 62097464, + 997857814, + 696144975, + 601832532, + 674328002, + 848908953, + 530998785, + 220440588, + 872179573, + 223939703, + 920777017, + 98883482, + 199656749, + 30792653, + 731069901, + 30580567, + 864687202, + 558637068, + 710655356, + 445225062, + 521512996, + 272215571, + 339211861, + 424528489, + 295805899, + 787292624, + 282381961, + 31005678, + 570001074, + 790144579, + 306735478, + 794192860, + 752403826, + 318150678, + 386197008, + 44299858, + 529050008, + 378611591, + 8127356, + 314513246, + 825567852, + 701950378, + 959176235, + 745827370, + 991532702, + 703676246, + 31449349, + 440613326, + 569650908, + 421253867, + 401404122, + 677135028, + 353940298, + 286282797, + 385144711, + 113314322, + 107693898, + 663756440, + 162887284, + 796379634, + 505838938, + 887422847, + 551430538, + 654300439, + 991944488, + 348259568, + 395360717, + 120445308, + 599324553, + 714793921, + 77976707, + 82491505, + 144466254, + 278543027, + 124850295, + 424510953, + 777841441, + 234539617, + 341744986, + 260977580, + 195489659, + 548757014, + 723300495, + 808871041, + 643772040, + 759943485, + 893363058, + 676270748, + 926949219, + 351295457, + 766188765, + 865150097, + 347551611, + 592112698, + 558051016, + 613151238, + 95014958, + 105832930, + 769922352, + 563460614, + 756803588, + 505083261, + 925562586, + 270967336, + 832275163, + 232597928, + 241968392, + 389513882, + 81294937, + 415376924, + 935884559, + 755640816, + 504224487, + 230526568, + 200155956, + 389380601, + 611716464, + 44801050, + 146401806, + 691000590, + 887692342, + 151711747, + 99583145, + 151089993, + 761019296, + 954702920, + 702524054, + 974558440, + 556367325, + 909849264, + 345500154, + 819320046, + 266417474, + 59530039, + 373581039, + 191485717, + 820612413, + 667427691, + 224616580, + 12840638, + 264796352, + 696256056, + 253655424, + 675863721, + 103722785, + 671047034, + 319653155, + 768223028, + 642636814, + 614637776, + 106856282, + 354474186, + 886530582, + 308449101, + 513516428, + 174577269, + 740770924, + 727773892, + 192088924, + 827403631, + 924325387, + 251267394, + 627566030, + 939882816, + 835337507, + 173526786, + 953499757, + 917390368, + 950240045, + 272723423, + 843924938, + 51552042, + 825388908, + 779707273, + 352288039, + 934433876, + 418755913, + 967180594, + 953770786, + 210859924, + 349186812, + 458179482, + 100305747, + 101547526, + 775531664, + 253793745, + 564356228, + 285230071, + 593983199, + 983301497, + 499052724, + 627185405, + 986198050, + 857412383, + 992512664, + 393174002, + 543514663, + 837798460, + 248081279, + 519176381, + 371406007, + 328927014, + 840728318, + 123081289, + 274976193, + 423840560, + 2225477, + 668820258, + 305842183, + 695351429, + 112293993, + 499483595, + 428203836, + 186037180, + 290944764, + 415356981, + 94398010, + 689781729, + 770573549, + 287419102, + 405682794, + 243540918, + 472328033, + 70035397, + 780358734, + 718273097, + 598779918, + 16043589, + 973632690, + 619250067, + 833240826, + 552237187, + 93137254, + 602291945, + 787007210, + 302663075, + 154667191, + 537908167, + 198757782, + 58587313, + 735833574, + 128224406, + 112673785, + 478561052, + 266070427, + 877026739, + 542489264, + 204227384, + 821471097, + 207778079, + 997498763, + 151231557, + 927081060, + 920473677, + 365094269, + 159532403, + 434861685, + 858054751, + 323886309, + 394434268, + 49901571, + 86001227, + 74483994, + 957369807, + 188220023, + 22459593, + 216251751, + 6658931, + 862942417, + 850172338, + 291662443, + 782326732, + 834271756, + 967533368, + 601019018, + 879880125, + 637821937, + 690373524, + 221616164, + 877063910, + 781008972, + 881229426, + 917225031, + 929404585, + 96064546, + 488648881, + 671720685, + 670741475, + 462408108, + 60817248, + 257836222, + 262358412, + 591677625, + 338222755, + 161975451, + 140110473, + 263721016, + 750588170, + 333791301, + 180150838, + 586775840, + 339779166, + 418113408, + 955375821, + 410677758, + 616030933, + 967511492, + 587070885, + 648306063, + 339107222, + 926805547, + 891284989, + 799854258, + 106780076, + 582094959, + 713936385, + 655903800, + 903964777, + 51968587, + 142320192, + 71501772, + 25805228, + 23056306, + 574052113, + 143440083, + 497745452, + 998843550, + 79828138, + 26412418, + 58230957, + 690619599, + 297032095, + 51729757, + 661753912, + 648827504, + 336390232, + 230257090, + 400036906, + 947862198, + 876258686, + 135133770, + 590618895, + 119987411, + 864626764, + 107612666, + 978515591, + 754766987, + 672225591, + 94639628, + 170910703, + 244342265, + 414447081, + 210003734, + 643354269, + 582992249, + 390505883, + 251252369, + 620310440, + 273701060, + 164898093, + 714983766, + 743954156, + 278750153, + 855718465, + 519085776, + 735107401, + 471562590, + 712753569, + 560107498, + 707971694, + 336113812, + 298157748, + 301584153, + 427069770, + 44953005, + 652364548, + 658951932, + 357659605, + 721413358, + 32108926, + 115618048, + 574373670, + 920897616, + 220954639, + 31942913, + 189336255, + 774069051, + 252050459, + 339989221, + 236572258, + 663541465, + 859364263, + 633690439, + 381782640, + 748898259, + 173726746, + 412451028, + 192222001, + 326106306, + 722802391, + 102167411, + 781395059, + 550993423, + 553777713, + 363608429, + 281876836, + 43467319, + 778748756, + 725914308, + 776129343, + 755860080, + 678279456, + 976874720, + 565872094, + 141999997, + 250519009, + 441586558, + 500983751, + 749803394, + 63556107, + 22738804, + 309858397, + 15358229, + 358981331, + 633657724, + 440726909, + 28431541, + 657422571, + 592330081, + 572637125, + 482291682, + 9360301, + 872346107, + 743341423, + 87379793, + 322839812, + 668409060, + 236584975, + 907718373, + 711291879, + 481224321, + 958172333, + 197220472, + 695947102, + 52791705, + 730262568, + 254185580, + 386864563, + 653577178, + 113670251, + 295759287, + 488828824, + 716955596, + 243210998, + 346501369, + 821076608, + 132757075, + 573747037, + 823473820, + 927897562, + 869547288, + 712990389, + 448900886, + 342956013, + 62946866, + 470700815, + 778713867, + 591184071, + 874254021, + 850048762, + 862801087, + 906022336, + 381745405, + 888489701, + 72579896, + 674193275, + 523047089, + 57562013, + 488742855, + 723796291, + 502818880, + 70231012, + 194873222, + 248436665, + 881011336, + 493388234, + 986871195, + 266001859, + 805574107, + 324129304, + 291286451, + 939365850, + 614937137, + 799592506, + 124645474, + 591165664, + 264480988, + 43946154, + 365319517, + 254900857, + 395105462, + 661158006, + 623284071, + 56606772, + 438868503, + 899964353, + 610261048, + 592220551, + 262264227, + 113867784, + 193973750, + 40568260, + 790754049, + 266615786, + 417989549, + 444677017, + 728938005, + 420210665, + 231476103, + 651387430, + 372132429, + 733363133, + 643252984, + 545154801, + 584039189, + 315191527, + 729476622, + 347283407, + 706782604, + 836868755, + 369557298, + 722335612, + 596740966, + 993239046, + 705077042, + 522757734, + 169234038, + 722358125, + 312995249, + 31523089, + 947857746, + 845743937, + 579326153, + 442766549, + 29389217, + 905422346, + 409334484, + 269631386, + 233631683, + 225724529, + 923951812, + 889956534, + 203715968, + 829383665, + 62973801, + 386543036, + 526031756, + 297744561, + 345911153, + 273523115, + 759380623, + 248452136, + 29734461, + 319129446, + 730199171, + 754935454, + 364320935, + 659271948, + 955157818, + 651552939, + 70070951, + 426377554, + 158188832, + 737182146, + 482712249, + 627256339, + 423009123, + 10595346, + 208226972, + 725354163, + 891720318, + 285833075, + 742188228, + 739170820, + 829286826, + 500004038, + 176466978, + 34633101, + 491439998, + 47563491, + 895379997, + 72325094, + 979727784, + 525918634, + 597037233, + 1253490, + 438491495, + 383927229, + 348915987, + 270213822, + 659637193, + 121572526, + 439308598, + 956950675, + 182997059, + 543564241, + 416640645, + 963245065, + 120805278, + 602403709, + 751118608, + 232868269, + 967076615, + 303760989, + 963744205, + 483762681, + 714566879, + 249844387, + 967301203, + 121533022, + 173534810, + 924948108, + 23115684, + 204503280, + 689877536, + 577238466, + 291860468, + 364110721, + 894053981, + 535662030, + 687738242, + 351387870, + 239733208, + 919563012, + 351181369, + 854385366, + 527299716, + 380170568, + 154063459, + 16250013, + 385313238, + 620445227, + 347477450, + 294600438, + 149666332, + 934544422, + 530343938, + 229559987, + 320684072, + 471431174, + 771536056, + 467021111, + 474014384, + 383660108, + 117813690, + 206262236, + 588464004, + 834122700, + 869784968, + 520256984, + 797257253, + 62929844, + 312485086, + 60133028, + 573082857, + 961228181, + 281469050, + 628843197, + 429330412, + 162744004, + 646175539, + 1119615, + 459335628, + 629751548, + 844476576, + 212719391, + 118526553, + 69086729, + 7888637, + 258349798, + 182878265, + 97088305, + 736633711, + 229899339, + 657544631, + 716401531, + 28103941, + 822945063, + 781537595, + 477796317, + 751840789, + 264327691, + 554124683, + 693636310, + 815951077, + 737246147, + 486654437, + 14564934, + 508572660, + 427849, + 93341145, + 109271727, + 191201461, + 964702303, + 596816148, + 443996292, + 136131341, + 487972056, + 91204483, + 265979813, + 502920362, + 810652210, + 478113065, + 810938198, + 951164190, + 967510479, + 788860727, + 650928434, + 79677902, + 545421232, + 181472052, + 14673997, + 914766164, + 13900403, + 224019226, + 67467365, + 60795978, + 518290825, + 717627223, + 975622168, + 950805529, + 800048952, + 781975241, + 435302116, + 920976938, + 222344303, + 92228384, + 357481763, + 763469708, + 551757242, + 529802867, + 127801267, + 873137987, + 57456621, + 439295858, + 861592037, + 584621490, + 558554354, + 817920676, + 681672740, + 453879759, + 305645955, + 891782738, + 216672678, + 942240725, + 705006341, + 99312050, + 266519177, + 186216016, + 564809469, + 736787018, + 509886679, + 869468409, + 267862731, + 365288612, + 940687816, + 190167702, + 803221656, + 294247907, + 816607721, + 360314708, + 816463969, + 242280715, + 103002439, + 647240311, + 723793354, + 708057443, + 918857346, + 872745297, + 737529797, + 213492298, + 401841981, + 197781877, + 18314148, + 561996337, + 596215117, + 269788807, + 915492200, + 629275831, + 438737245, + 641655389, + 129473076, + 547024393, + 289350393, + 284817603, + 480810091, + 344470024, + 967164418, + 155882593, + 240184933, + 463033732, + 792336817, + 672727114, + 741774492, + 936871003, + 799531606, + 577861735, + 988296746, + 569271364, + 107811251, + 706334064, + 700896456, + 856812505, + 483560612, + 741885122, + 842665023, + 805590109, + 680494655, + 190087409, + 22835001, + 408769441, + 785450835, + 655472403, + 157232143, + 424900489, + 1428815, + 883888354, + 232631142, + 163571550, + 827219382, + 805423309, + 400736232, + 471821397, + 678960641, + 14946273, + 297619210, + 753401614, + 696104761, + 973608492, + 618241016, + 916517496, + 246092140, + 986113339, + 449436269, + 796051684, + 523098985, + 650155079, + 968339192, + 397789538, + 747677460, + 360278724, + 232528717, + 859384884, + 780813321, + 284468717, + 59629660, + 272186618, + 47149208, + 86189919, + 489326197, + 142622130, + 528676838, + 889214301, + 124532962, + 73805032, + 268027056, + 564189199, + 643179526, + 346409773, + 704099365, + 703682192, + 883495791, + 638565274, + 506041885, + 904792883, + 950423991, + 25595872, + 296701822, + 160345722, + 799298124, + 820023780, + 64056660, + 523187286, + 839651709, + 635754596, + 377451821, + 933403465, + 124438534, + 647769566, + 894993535, + 255206134, + 509238907, + 801489120, + 502358555, + 893148781, + 340278576, + 253716224, + 884287930, + 430536841, + 56703288, + 134109891, + 611372364, + 606526574, + 514880499, + 281196454, + 39118238, + 496620646, + 73564383, + 2045781, + 845082077, + 267046152, + 366291041, + 277249272, + 644064829, + 648372340, + 24754877, + 422260005, + 72568596, + 830676766, + 673380800, + 448823683, + 340912770, + 336532722, + 35338522, + 842824103, + 901938081, + 509822792, + 579791271, + 709427380, + 868948900, + 997416744, + 380050961, + 789382894, + 537263910, + 281279593, + 519139875, + 356376464, + 47450668, + 802137427, + 584325278, + 391760856, + 631574623, + 163631814, + 111067538, + 395021283, + 839469472, + 826685366, + 875327254, + 221831810, + 173890589, + 569934909, + 492428303, + 108646901, + 776875922, + 972082680, + 162499885, + 307668300, + 67677843, + 785210953, + 13668041, + 946792292, + 654377006, + 232857064, + 601398917, + 574414818, + 48402038, + 634501201, + 278974905, + 811584033, + 182486049, + 280613626, + 474327105, + 695373979, + 410639160, + 71958394, + 697710470, + 361348190, + 65335366, + 444062089, + 283877944, + 458743115, + 771705543, + 889517223, + 730069642, + 221797191, + 825303326, + 391107255, + 806963926, + 449451927, + 56089637, + 909463275, + 651971216, + 353644255, + 94916656, + 714005232, + 364392261, + 547519371, + 983798782, + 483362481, + 199700172, + 359032329, + 550141309, + 975703808, + 666386277, + 737548896, + 584729075, + 574642655, + 860877794, + 429374975, + 173541631, + 214964176, + 935835921, + 722077452, + 718178829, + 359127597, + 515885040, + 296305929, + 751014390, + 114983681, + 896003398, + 347907595, + 395202565, + 624300244, + 475798849, + 172054989, + 405255293, + 534357038, + 146301815, + 817211577, + 796278904, + 62082228, + 532529227, + 437232494, + 153775651, + 531052977, + 897452785, + 477712354, + 240784643, + 470012081, + 910541507, + 567847581, + 118037769, + 22060264, + 699421501, + 712455587, + 993185775, + 402240159, + 857590714, + 307532047, + 853741297, + 381254894, + 88270740, + 407461014, + 94254701, + 701052201, + 123255635, + 325947910, + 732068367, + 126017248, + 556424519, + 645579305, + 377571373, + 774828982, + 328673431, + 355901675, + 268234906, + 854625516, + 304196401, + 116349503, + 870905463, + 473340326, + 636759474, + 850205857, + 787689375, + 874006619, + 782105927, + 758929485, + 904557879, + 539197176, + 80517907, + 600289406, + 366794950, + 516315995, + 350075455, + 59845417, + 325469171, + 507518298, + 295261308, + 186598941, + 348053987, + 706289713, + 808114633, + 317197685, + 493548718, + 644216752, + 979690156, + 135155851, + 290996686, + 245488300, + 75736133, + 196225048, + 588907915, + 63930052, + 294235470, + 296867975, + 545539171, + 839390727, + 48633409, + 538805545, + 454578993, + 708262224, + 666406987, + 581105933, + 952684106, + 915659543, + 837928462, + 866632693, + 148752556, + 877170998, + 185555570, + 187368999, + 691548607, + 844878054, + 841017640, + 63452495, + 793588850, + 545058075, + 302068802, + 174602921, + 424715309, + 722757680, + 591693806, + 209407808, + 740141027, + 652418247, + 21205979, + 195824769, + 442702605, + 872376274, + 77017008, + 323605836, + 631443149, + 623278404, + 227262090, + 43130591, + 913592143, + 217789247, + 279647811, + 938394328, + 527793598, + 595053355, + 724938793, + 217326614, + 403445015, + 25532656, + 592239841, + 927309624, + 570210233, + 826108064, + 722287683, + 324254064, + 317202445, + 131103538, + 896663107, + 590619181, + 98501759, + 435957877, + 407867899, + 785324371, + 826888191, + 373490561, + 928187274, + 65121529, + 768450279, + 662175583, + 972732993, + 689754817, + 733883467, + 572433702, + 999865442, + 457517042, + 408951853, + 997820839, + 818342470, + 198420266, + 50481007, + 102547840, + 81100718, + 201101185, + 776008358, + 827774931, + 94774976, + 537896954, + 361166401, + 645808838, + 972739634, + 529808788, + 584756322, + 93751597, + 337896177, + 35927701, + 843934946, + 534021463, + 782345690, + 268485641, + 312800497, + 956899137, + 595545090, + 378742831, + 150299769, + 604479316, + 6111559, + 242140679, + 986658238, + 857028141, + 470103712, + 521246039, + 1206572, + 170978346, + 692057147, + 450947426, + 911033537, + 445478876, + 394709266, + 532247027, + 280375281, + 820487896, + 105207321, + 937025196, + 927519840, + 830234939, + 788048149, + 875723770, + 99053303, + 978528135, + 850350575, + 691196852, + 900166361, + 360710102, + 268331617, + 516468232, + 238024446, + 723010707, + 717719779, + 800802601, + 385452281, + 892466786, + 796627760, + 462173604, + 469222129, + 596482971, + 815980398, + 448828491, + 374170018, + 579274025, + 585309314, + 529025641, + 21484839, + 754656326, + 598517323, + 765241878, + 668590316, + 150197314, + 847436458, + 347942147, + 474974548, + 882735152, + 536163114, + 869089128, + 767671456, + 803171036, + 421485242, + 59612141, + 538673456, + 964244387, + 93996827, + 222825415, + 665001341, + 798897502, + 663990172, + 650350901, + 53664039, + 516894341, + 257510729, + 247765140, + 589927162, + 503307224, + 534305866, + 951876540, + 315923406, + 492888505, + 410295720, + 561554848, + 797688707, + 837240079, + 168327000, + 107309626, + 22353151, + 786902000, + 898255547, + 296648999, + 560934694, + 694211945, + 96477912, + 3669769, + 473702283, + 356673289, + 957604259, + 799464580, + 836732947, + 835214815, + 718137918, + 19374895, + 635815665, + 555800761, + 597287525, + 899222272, + 189391537, + 475193476, + 616732875, + 37621319, + 121489398, + 867910102, + 20855178, + 142429321, + 745269930, + 621897377, + 650559613, + 463225670, + 950836285, + 578835712, + 535313730, + 307526338, + 47527675, + 3533005, + 632764154, + 893819029, + 66578746, + 770487183, + 47130177, + 120271116, + 938492701, + 483647907, + 956885313, + 383716011, + 941866472, + 192931995, + 787960595, + 923447369, + 382616089, + 861500718, + 281158144, + 661084841, + 349218552, + 188361441, + 75102744, + 324498333, + 846920045, + 28845621, + 224005854, + 958707590, + 912793218, + 785835703, + 725639442, + 184237717, + 774244317, + 548255498, + 693332044, + 628808591, + 959636655, + 958311127, + 939146175, + 708886525, + 513165677, + 313436627, + 494736671, + 526812940, + 678015008, + 460257599, + 836010513, + 154357106, + 625912439, + 421229738, + 55951323, + 573392089, + 57061417, + 389255502, + 686906384, + 498788030, + 814180755, + 252948531, + 939804987, + 752303815, + 53909635, + 775868636, + 830440088, + 232400900, + 338868567, + 676319977, + 282397759, + 521012445, + 152163299, + 506001548, + 607371717, + 378989209, + 432250053, + 36286821, + 769296018, + 504260135, + 543742730, + 129934092, + 367419982, + 789960940, + 229222175, + 42189780, + 456385978, + 504365754, + 624204216, + 714073216, + 536217608, + 671368979, + 547946196, + 323745992, + 985082505, + 912950206, + 258641034, + 507608191, + 646352877, + 58521971, + 283732034, + 212896505, + 71680601, + 24625836, + 809686630, + 843588491, + 483107929, + 775095540, + 482836543, + 315858264, + 164119128, + 258079306, + 842883635, + 52923925, + 746395361, + 993155668, + 907931041, + 238917278, + 943025427, + 681671456, + 596418830, + 743289852, + 809012756, + 24571235, + 631716840, + 764151947, + 433462061, + 880706492, + 357441226, + 413850113, + 138736616, + 500693300, + 697393163, + 821093756, + 626242223, + 787819966, + 381064479, + 509586938, + 228579830, + 821679743, + 730894938, + 555761402, + 770421453, + 716434546, + 918122412, + 334242765, + 401664382, + 623323548, + 465254441, + 162447404, + 932815885, + 965382344, + 891555791, + 255082036, + 375969108, + 950636069, + 983189641, + 378173311, + 52573390, + 650142418, + 982256994, + 443682143, + 247643659, + 679756860, + 410616901, + 68319351, + 107362669, + 523594593, + 388593708, + 708757452, + 373955785, + 969164217, + 72812237, + 249985093, + 87168275, + 401718756, + 475620170, + 189564414, + 19574942, + 56060636, + 557088232, + 123852003, + 101680522, + 512327747, + 470773045, + 804028110, + 905074534, + 817847144, + 78907144, + 287001307, + 523101522, + 596144520, + 940176675, + 451492945, + 729231384, + 168334691, + 378996733, + 697557519, + 897990902, + 57479189, + 980603873, + 830969557, + 56643110, + 653899069, + 973536564, + 65548762, + 687267076, + 999555960, + 140811332, + 96759756, + 990085874, + 536829929, + 530427414, + 301363726, + 550814368, + 211031293, + 514040843, + 668255735, + 464715234, + 914374478, + 568594562, + 547697425, + 142381245, + 664095624, + 542034533, + 599260227, + 208787039, + 430478178, + 1901043, + 957133817, + 619144063, + 667293697, + 152737069, + 558835375, + 998240327, + 20919229, + 278293823, + 941888758, + 849707178, + 547130287, + 12315257, + 564719416, + 5808845, + 346715048, + 589804000, + 831878458, + 11837854, + 989265559, + 356432357, + 247832014, + 763731429, + 617252076, + 115836420, + 608405494, + 647909382, + 119666521, + 103124803, + 374421701, + 503951735, + 59475368, + 972498929, + 468596447, + 90810908, + 55216537, + 362317252, + 156541955, + 373968315, + 559509132, + 765496655, + 903105387, + 165225030, + 446305479, + 448484195, + 990066521, + 923117455, + 153204165, + 129088537, + 470425245, + 434417803, + 624855229, + 303074898, + 511174627, + 305991001, + 733317651, + 234554084, + 43796977, + 973811833, + 26466208, + 611419446, + 111760345, + 893573557, + 806935792, + 948601341, + 47468969, + 554075070, + 181127368, + 470669046, + 64051768, + 921808246, + 263802239, + 994506385, + 793176606, + 18532048, + 817381537, + 16329382, + 448615304, + 680720897, + 45121596, + 318284576, + 584030794, + 399563773, + 291830076, + 312555357, + 713522538, + 408590852, + 225124363, + 854616821, + 981945637, + 309600402, + 606889734, + 5637693, + 18304272, + 168819764, + 66093062, + 170405242, + 992278358, + 687257285, + 695591104, + 224631768, + 741114099, + 934834771, + 444657592, + 265715821, + 163809508, + 268613978, + 232883504, + 425960621, + 880840291, + 414662471, + 544746236, + 971863892, + 468782179, + 923624547, + 87241799, + 859167687, + 374387972, + 405822268, + 482789304, + 877175890, + 528020272, + 95717776, + 515066666, + 5661940, + 728640439, + 754690237, + 92923743, + 539575692, + 310493127, + 814579501, + 124055270, + 315368293, + 864703032, + 629068724, + 380745558, + 365623199, + 5827209, + 427110588, + 241200957, + 540910306, + 116043043, + 269590632, + 749484381, + 376140340, + 978885863, + 417716400, + 828586745, + 425629647, + 464560992, + 562002956, + 91299940, + 805193554, + 497298607, + 39772937, + 552867122, + 290224033, + 210945804, + 550028335, + 81171184, + 728936463, + 754067963, + 437610537, + 590497958, + 223035169, + 45404270, + 148791411, + 394387547, + 143604048, + 86414520, + 815029160, + 667768656, + 616656901, + 208352710, + 711498025, + 770850644, + 54747174, + 762624405, + 676068853, + 341217678, + 701455687, + 624789989, + 811229164, + 554900350, + 267872379, + 553483722, + 893703499, + 136444788, + 732527786, + 859762273, + 618750479, + 841084963, + 893545502, + 90176780, + 973442234, + 178366420, + 256522328, + 893417992, + 216331323, + 305403837, + 932555406, + 803103063, + 932578986, + 541075978, + 781680725, + 38275944, + 803971252, + 866787178, + 380875875, + 32981102, + 105014563, + 931474280, + 417744106, + 188954433, + 903124332, + 455674192, + 498990554, + 394592099, + 66627341, + 6180776, + 980577504, + 278297854, + 988303797, + 403442988, + 806614674, + 225413154, + 929659053, + 595084761, + 522213835, + 253603207, + 120083210, + 690667857, + 101368480, + 968445519, + 116441793, + 638573728, + 413233316, + 121160630, + 425559558, + 732023072, + 208854584, + 517394750, + 727760999, + 218542663, + 45665071, + 641469519, + 915925611, + 23508259, + 897908457, + 687378138, + 696391798, + 628519267, + 278306633, + 707034941, + 598544185, + 467482528, + 273382676, + 213726009, + 226608443, + 510107210, + 491994627, + 29441924, + 295410470, + 305374166, + 595180995, + 641685156, + 644145150, + 699091218, + 940532453, + 766590666, + 895365139, + 518178338, + 23299416, + 106405403, + 571381207, + 582292521, + 380052160, + 856572264, + 322131608, + 819296652, + 849386644, + 904120492, + 442231527, + 663290319, + 783364802, + 334971974, + 916515126, + 880400578, + 420519342, + 354143891, + 825610063, + 96228593, + 782778425, + 36057410, + 807755811, + 612015380, + 168865563, + 538670235, + 75791290, + 34835301, + 278086492, + 458908914, + 780371304, + 226840985, + 509261940, + 747294759, + 895321485, + 893521884, + 199714389, + 776500141, + 180498837, + 575770756, + 455149403, + 99963456, + 305037795, + 600945257, + 740223827, + 362646136, + 331932108, + 892767685, + 944982135, + 621489854, + 456312081, + 938661908, + 808181523, + 302408532, + 53948291, + 918699047, + 705208452, + 118328474, + 584609922, + 3855995, + 659137873, + 767971462, + 303070052, + 170198304, + 943754754, + 819368007, + 988419637, + 57256373, + 740101435, + 145357089, + 355409283, + 507552156, + 932349910, + 731760110, + 921676800, + 137195679, + 936303874, + 625954583, + 968999469, + 790034376, + 957452455, + 313446667, + 590817412, + 852159993, + 699214507, + 224273411, + 109146919, + 801889664, + 495244906, + 134854579, + 268016249, + 707928762, + 819793825, + 475929011, + 863787009, + 130389973, + 209095520, + 871139387, + 459356463, + 994895502, + 284440683, + 86090192, + 814313986, + 98739619, + 862607429, + 409458903, + 865901953, + 779129574, + 829740389, + 184898970, + 565261835, + 522306288, + 103760875, + 800628288, + 448238440, + 37138864, + 23593016, + 190762927, + 15701713, + 464027619, + 455132617, + 604907393, + 970608805, + 61293634, + 53928008, + 431394516, + 310196710, + 933826028, + 467232135, + 667350424, + 335035604, + 515855097, + 697867277, + 54984315, + 391983482, + 328395586, + 251145225, + 863794634, + 97565404, + 971729905, + 763563013, + 354048014, + 757198833, + 765214887, + 885890351, + 648595090, + 690199291, + 107214863, + 163217862, + 529383258, + 811417026, + 819210766, + 659196905, + 369331536, + 108977903, + 349553862, + 790414061, + 396697274, + 363325450, + 327305319, + 559471324, + 871221532, + 477785782, + 354161149, + 990217719, + 348837620, + 309611724, + 862242079, + 397962406, + 142961948, + 244509781, + 624851695, + 996861382, + 875256683, + 545148143, + 225646399, + 740060257, + 353713758, + 640618767, + 260624143, + 754822791, + 98652192, + 694525354, + 121614204, + 11612764, + 870386523, + 86642858, + 832780632, + 304804871, + 357382015, + 794524990, + 969326746, + 516213812, + 607155279, + 182283448, + 318970225, + 939755489, + 874532114, + 999697860, + 997309426, + 472557058, + 443187259, + 713469498, + 425777103, + 95177149, + 998924688, + 626812254, + 397060259, + 919898708, + 521501046, + 129626112, + 156186722, + 574295788, + 250002624, + 340666707, + 749206106, + 495414499, + 78020226, + 772290034, + 787707334, + 653473077, + 797286807, + 251895784, + 770264888, + 855920456, + 710132820, + 500385234, + 629100460, + 265559566, + 972580306, + 933347892, + 606484099, + 45443317, + 85089213, + 892085992, + 884950211, + 24938107, + 993149547, + 556390451, + 325459652, + 801558409, + 178116387, + 565294918, + 454566099, + 814792580, + 315151493, + 783637850, + 396020517, + 773893710, + 239568126, + 235693699, + 442755467, + 240987976, + 468477054, + 994358940, + 235162395, + 976184102, + 632357929, + 519509068, + 435334498, + 873652813, + 728316272, + 855715466, + 928639210, + 427797531, + 73789579, + 659752264, + 49023225, + 164149389, + 176635802, + 154364457, + 825568255, + 809479909, + 149718931, + 320071960, + 855633415, + 210674953, + 484127433, + 805383942, + 233877307, + 448852045, + 733049424, + 187782139, + 356271770, + 565597010, + 876775324, + 907545382, + 90001322, + 667967532, + 475011002, + 806197273, + 338646026, + 608724463, + 987540658, + 42466771, + 553000296, + 72381452, + 737305182, + 332861429, + 160462848, + 847383672, + 576302693, + 47861800, + 162601912, + 322811093, + 215950220, + 65428160, + 752861773, + 682082974, + 710425236, + 602859585, + 438822725, + 393232565, + 682956926, + 747500370, + 994673642, + 617979877, + 271339811, + 247224764, + 752096724, + 876430953, + 11899254, + 465454672, + 866059624, + 968398668, + 579665242, + 27146612, + 749763940, + 865545682, + 711405086, + 450848881, + 579977880, + 487633244, + 106813059, + 697545030, + 518372418, + 911343857, + 757714474, + 250814709, + 950415578, + 310473690, + 651018128, + 673967075, + 742411343, + 628973523, + 898336676, + 612025879, + 719256045, + 656208550, + 916494597, + 854256865, + 372208696, + 612403430, + 349840234, + 881576298, + 110930348, + 89378906, + 38080217, + 619104723, + 152243846, + 824406728, + 673649884, + 654093757, + 883207414, + 183072448, + 493003196, + 122022724, + 641997183, + 134169783, + 734773893, + 926013012, + 351364105, + 731673433, + 279192243, + 148658601, + 545178716, + 427747991, + 906492413, + 977043108, + 356972133, + 107563071, + 261037535, + 359183435, + 591148574, + 345368609, + 820043677, + 931106836, + 872035820, + 102484111, + 581070439, + 643260451, + 126106997, + 879966982, + 811595632, + 256410725, + 90947920, + 750895360, + 77322771, + 638969439, + 841730416, + 163294853, + 956912894, + 587097955, + 116166183, + 8845222, + 440387449, + 803739267, + 676661658, + 237026484, + 482237103, + 593147314, + 721400219, + 729100504, + 141805034, + 91438899, + 412904983, + 928556719, + 504019727, + 408586119, + 369980598, + 679073549, + 617381323, + 725530303, + 424363395, + 428562168, + 820393061, + 739888336, + 35670799, + 602047458, + 319945731, + 449257369, + 462481716, + 497233695, + 41456287, + 723103253, + 135241060, + 165572223, + 773659773, + 934536318, + 949499478, + 567455091, + 927169223, + 285706177, + 607604309, + 369397231, + 197192979, + 95065252, + 427894496, + 933402591, + 99439073, + 622663082, + 265423967, + 738336812, + 713870421, + 770580313, + 164850171, + 227809813, + 59684670, + 965559985, + 62469515, + 833373235, + 591870749, + 460458609, + 948232831, + 445681207, + 364622836, + 966319561, + 925440557, + 592067802, + 310096430, + 812746709, + 533933634, + 308459228, + 431276641, + 170159199, + 148512880, + 590766228, + 903525579, + 981163176, + 899634160, + 583807110, + 842685873, + 563290202, + 444401100, + 872117754, + 524134995, + 204376238, + 560771833, + 956956078, + 534218966, + 437867466, + 191144989, + 736283146, + 541608636, + 424814238, + 460842328, + 728795300, + 902746668, + 360152615, + 120264116, + 386646222, + 64865594, + 252625082, + 779729158, + 887621412, + 646379539, + 195156464, + 570302675, + 614773064, + 580517378, + 120330820, + 228415631, + 168082007, + 403320616, + 944311666, + 496559196, + 810202606, + 744561256, + 204373272, + 237210500, + 297606078, + 240111274, + 274250, + 268460726, + 546111470, + 556372357, + 427031701, + 764565458, + 630182628, + 573463013, + 839694916, + 533925831, + 138355152, + 97742583, + 786035307, + 869666321, + 90990689, + 619823506, + 561301354, + 716913445, + 483539151, + 305094395, + 645209915, + 632477715, + 733031609, + 725623304, + 528253606, + 813830704, + 16768231, + 522858685, + 381749510, + 97177616, + 924251166, + 773983254, + 429403313, + 588027334, + 713054238, + 503776138, + 209445811, + 593460990, + 248284608, + 351372515, + 383774208, + 244384301, + 799863342, + 29943714, + 74552905, + 442262534, + 59691909, + 487342671, + 368484759, + 980432440, + 306936262, + 166047338, + 770029420, + 244363679, + 805007873, + 674466862, + 727761333, + 766449047, + 507831964, + 274375128, + 640245116, + 980616243, + 465923433, + 777151878, + 655725993, + 655471391, + 437059324, + 230382405, + 61325531, + 466983513, + 955440324, + 661701336, + 712604877, + 442908169, + 940248174, + 568802928, + 439746442, + 791693494, + 676169829, + 276783621, + 715847073, + 893666447, + 737403414, + 313460699, + 555075596, + 69913114, + 616707631, + 501219349, + 807284493, + 355431425, + 904562860, + 814317461, + 639973534, + 798508943, + 889541065, + 95241704, + 17294787, + 908332215, + 235138517, + 221730952, + 720249237, + 122031642, + 652243151, + 909065723, + 208847459, + 75316948, + 551095230, + 326971053, + 973445060, + 11420993, + 664214616, + 779976382, + 675577048, + 900308200, + 420837649, + 319648840, + 125576596, + 998699406, + 9798110, + 244589798, + 358273953, + 116893548, + 673021657, + 462822565, + 87016896, + 342194587, + 602890161, + 682388546, + 769619208, + 95230424, + 394778262, + 111849353, + 202211103, + 769467527, + 310554035, + 565768153, + 520405489, + 185143915, + 403350515, + 411310737, + 38190128, + 219194604, + 487625023, + 247453768, + 684373216, + 318016633, + 610994322, + 664290343, + 859866901, + 351328936, + 196507651, + 189360664, + 953111028, + 149776873, + 217424809, + 775799505, + 210286088, + 875544883, + 469213261, + 82973865, + 623156242, + 841984025, + 992049850, + 348107512, + 306443657, + 623812872, + 10623407, + 779260107, + 325434507, + 663258218, + 284015252, + 549239098, + 560984020, + 654938147, + 899382267, + 888436538, + 19305141, + 74940696, + 148363523, + 807447417, + 973558635, + 476532136, + 865487040, + 272407631, + 655630501, + 52061733, + 795625494, + 513146800, + 374959316, + 810153941, + 975591313, + 480182889, + 898378300, + 166782095, + 148644558, + 974607307, + 323486395, + 854429988, + 190236779, + 599218310, + 893598001, + 845383157, + 214414484, + 445990978, + 382139423, + 806863152, + 495051380, + 884115121, + 407334821, + 766286808, + 405103311, + 411703362, + 370973434, + 611024242, + 33210016, + 496927953, + 593192723, + 933782305, + 893206985, + 870062899, + 34228923, + 335732358, + 267334020, + 829588831, + 366730218, + 499012303, + 828413860, + 389631637, + 855865996, + 441944288, + 694260849, + 9180457, + 133293314, + 530796362, + 994451356, + 811035272, + 87596036, + 228239287, + 66121526, + 76999727, + 975853232, + 661592784, + 7157673, + 754303622, + 642612073, + 857950145, + 158426810, + 171571850, + 66366491, + 361225197, + 729127412, + 194358394, + 348624339, + 47520307, + 394691079, + 580799653, + 812312702, + 175124540, + 950829891, + 826579517, + 359195428, + 730778419, + 108575628, + 427459159, + 111268217, + 483725758, + 265700593, + 630927720, + 58191940, + 364551355, + 374740417, + 261047376, + 516868920, + 302031156, + 975663522, + 528730608, + 964206454, + 698225241, + 53863366, + 28561846, + 127681440, + 321266752, + 192787526, + 358300595, + 904984245, + 463892416, + 639329024, + 174737038, + 84936967, + 389410408, + 580238546, + 26479574, + 451503345, + 315852356, + 514982652, + 334695497, + 470942614, + 771942501, + 693428024, + 577652741, + 453932381, + 876546717, + 223202380, + 211300658, + 587177273, + 26273627, + 945425172, + 323120808, + 49182317, + 673038725, + 662343241, + 58758502, + 468497766, + 404767326, + 975931226, + 789879238, + 937961440, + 433052760, + 227779378, + 854779405, + 945841174, + 885989513, + 268143286, + 254945316, + 856766229, + 689107275, + 433854672, + 69822338, + 602346551, + 230945224, + 618184599, + 832598984, + 451112799, + 424790354, + 487632330, + 582629664, + 952196338, + 197506451, + 131475977, + 993122146, + 625633681, + 68373577, + 846339868, + 756508912, + 297098605, + 220073018, + 276928389, + 107184998, + 969172180, + 202769283, + 170878744, + 140103125, + 64413140, + 719202931, + 283927707, + 976564097, + 559368709, + 215549418, + 892477546, + 240986347, + 826672270, + 726825377, + 526767845, + 426055934, + 914350974, + 33342675, + 991080260, + 80139223, + 212122515, + 539480169, + 211517330, + 649681681, + 673933201, + 804130678, + 538082172, + 719925797, + 240423191, + 659825404, + 183897574, + 662232042, + 504064396, + 587381503, + 743541302, + 981660877, + 363267644, + 78876861, + 369112785, + 337625744, + 804111731, + 561043876, + 581497287, + 699330723, + 595662853, + 291864412, + 430704250, + 775023669, + 744870078, + 992671369, + 813968163, + 293509551, + 878280305, + 880513372, + 647872909, + 573117395, + 395240038, + 766261535, + 961532976, + 941591900, + 401203607, + 712549829, + 249369013, + 873792874, + 801483222, + 329398569, + 65174936, + 659771060, + 692707195, + 846411902, + 312976913, + 224085188, + 505354458, + 701948221, + 742026269, + 432627585, + 577936443, + 463347295, + 961595081, + 637712385, + 595582740, + 195291006, + 124569602, + 626435158, + 950685648, + 725371946, + 502356972, + 227215932, + 282530161, + 613603139, + 830382434, + 945729511, + 856444413, + 159320705, + 651969654, + 962061199, + 403645629, + 476790246, + 348714860, + 719965958, + 762314695, + 498534288, + 110256931, + 801717234, + 255055712, + 461639814, + 226102296, + 179450993, + 55316122, + 557999971, + 933291484, + 356779828, + 450488582, + 180199575, + 166409116, + 703691314, + 787965127, + 573472191, + 991889950, + 710490872, + 261889876, + 203158524, + 723839812, + 393684365, + 76843307, + 877287641, + 530174659, + 921573337, + 771784570, + 357938435, + 270958405, + 832015711, + 697545459, + 955252552, + 657570840, + 275434815, + 884994725, + 609012138, + 689543558, + 245758129, + 702420967, + 837070213, + 362055582, + 14159338, + 734897836, + 662102462, + 33082345, + 811971998, + 793587768, + 984595443, + 841202834, + 810316703, + 100859587, + 393351803, + 128488539, + 635757568, + 494933873, + 661214914, + 634600896, + 581836243, + 687121779, + 281685145, + 551289616, + 892917001, + 973541694, + 609710351, + 263849791, + 663630335, + 321850502, + 517992051, + 755626652, + 176453367, + 850323963, + 145827465, + 777307227, + 727876468, + 856642971, + 73181940, + 551625965, + 827294043, + 264471380, + 929238631, + 404367107, + 607926156, + 718043112, + 290001864, + 330278560, + 533562017, + 154162929, + 4110593, + 6018653, + 383713095, + 989679532, + 47469540, + 862771313, + 969167162, + 620068356, + 830536761, + 936047463, + 943659483, + 954566180, + 566788898, + 334322320, + 227302308, + 814518089, + 211631757, + 892691351, + 321579696, + 891497258, + 986059241, + 73004084, + 375225753, + 665495412, + 41523120, + 560564313, + 61311013, + 397725207, + 876194170, + 192604656, + 296519260, + 602629913, + 460759326, + 241280322, + 134692821, + 575624863, + 382686863, + 626687363, + 65052012, + 211056330, + 746314798, + 672057706, + 172250570, + 667873757, + 190050810, + 394971825, + 33908734, + 228474483, + 364899295, + 888880283, + 603979224, + 908489409, + 709707775, + 361674213, + 918789844, + 475457209, + 458233649, + 141163886, + 141369088, + 50798026, + 63900555, + 463178127, + 476389833, + 362003658, + 275724540, + 327453508, + 632456207, + 170221614, + 287395486, + 17817613, + 628356326, + 394643194, + 645648841, + 31312362, + 127783830, + 502361927, + 256149444, + 62089184, + 871693780, + 169421995, + 207668740, + 700306959, + 734222937, + 797251613, + 213076186, + 863501582, + 350855761, + 38421872, + 510736669, + 817707483, + 381277079, + 872128627, + 65206971, + 161189445, + 15431851, + 498573302, + 358857210, + 323228059, + 669487198, + 682032776, + 858634776, + 392272879, + 501685419, + 986109947, + 374558482, + 804011978, + 269230248, + 962692090, + 45842300, + 141551052, + 871764785, + 652398618, + 32393840, + 634371060, + 349374746, + 147060487, + 453166990, + 762703224, + 824393718, + 776318219, + 648417761, + 988554891, + 939775431, + 361529110, + 933740706, + 289373728, + 227234039, + 536528355, + 41339786, + 764442127, + 233604481, + 257266699, + 381149365, + 729158449, + 522486578, + 546019307, + 146287852, + 930694116, + 90008755, + 424330431, + 487445174, + 572648134, + 962840614, + 494019937, + 321825151, + 355020886, + 138633544, + 275109357, + 436280664, + 592915588, + 939632589, + 912578005, + 442127724, + 72526311, + 411577835, + 395949900, + 529004299, + 447942720, + 885525703, + 937358782, + 718151020, + 9208171, + 274479847, + 439889477, + 538973743, + 949210202, + 94432148, + 156071740, + 942306036, + 759100257, + 591148742, + 230735595, + 278776122, + 725413435, + 409225743, + 476050567, + 658824088, + 442298973, + 816794040, + 743565699, + 919839227, + 788376774, + 103745504, + 318415091, + 749420093, + 275600838, + 369300363, + 163374543, + 643770620, + 907192686, + 78989546, + 41118799, + 874561775, + 48435351, + 213572892, + 780166819, + 363991396, + 144137356, + 248528083, + 236491112, + 356743157, + 845660075, + 991256474, + 318146952, + 96593683, + 103060001, + 942914845, + 123067998, + 597920777, + 769162210, + 838221314, + 104016786, + 835219687, + 350548880, + 207584677, + 964063259, + 481716124, + 261928649, + 622664897, + 291628851, + 4070510, + 126696335, + 667869101, + 23733622, + 298421648, + 993439682, + 888172374, + 806469111, + 112276310, + 750306965, + 763977681, + 700701189, + 775420167, + 568977404, + 725713149, + 334700146, + 294821454, + 740134296, + 12467748, + 527484894, + 299892101, + 34453278, + 922337396, + 551417214, + 474082976, + 894650308, + 629637355, + 527301238, + 51987057, + 634869252, + 119642258, + 538143231, + 396625006, + 479612167, + 284813651, + 308045758, + 760574246, + 321851894, + 69874748, + 981626676, + 241441187, + 395157513, + 123725985, + 456561299, + 819607006, + 488597475, + 963084577, + 626599924, + 416875721, + 920503144, + 806638202, + 44185495, + 694641742, + 426040986, + 576822688, + 587890609, + 874085990, + 245492986, + 990588699, + 902324428, + 478166465, + 630163117, + 652322655, + 691774702, + 726041102, + 997210045, + 887434515, + 925781915, + 395284642, + 467986985, + 653984645, + 160684134, + 115042867, + 984616555, + 224037035, + 235668566, + 604594754, + 301123944, + 109995806, + 803007829, + 476109644, + 960607613, + 641402975, + 496486832, + 636084305, + 234102648, + 883875240, + 156582557, + 757602118, + 712936604, + 101899289, + 898613904, + 57455409, + 398264593, + 194457379, + 3075162, + 81109220, + 89948470, + 32539664, + 603742698, + 677356359, + 542612475, + 698202203, + 319679279, + 32178710, + 124184170, + 556471759, + 415989399, + 134821426, + 654456179, + 81524781, + 472360352, + 641340755, + 337575578, + 303948539, + 227446907, + 313849217, + 659440278, + 712740755, + 156592784, + 706675632, + 652694438, + 451049965, + 560523017, + 656146355, + 601360187, + 420886154, + 411525674, + 283151623, + 118145294, + 325909968, + 168681856, + 344136304, + 777063399, + 19395518, + 942487837, + 222120838, + 148330985, + 1537594, + 990387959, + 874543287, + 118046944, + 603772537, + 483090057, + 922081316, + 130916018, + 703568136, + 941237073, + 720371686, + 425033383, + 111652452, + 768436390, + 225904196, + 262856765, + 270263702, + 933939341, + 63977023, + 678541383, + 493201842, + 65591572, + 622650188, + 626153602, + 485340516, + 768268355, + 842940195, + 286532127, + 847767297, + 679552179, + 615095193, + 108427237, + 131794833, + 424098449, + 102032942, + 178461411, + 398451121, + 250970009, + 157981278, + 890426906, + 530615092, + 778917995, + 976838595, + 32801313, + 87015558, + 524272063, + 468666664, + 629438017, + 360710690, + 484051057, + 589142096, + 621550759, + 746941543, + 65226776, + 699283267, + 845541591, + 232467648, + 340703355, + 485821337, + 966641417, + 617579938, + 911785189, + 668269633, + 601857977, + 587109096, + 157208720, + 727643271, + 376030472, + 850263867, + 759904130, + 781907744, + 656734045, + 43406179, + 543601073, + 874228208, + 83335087, + 857667271, + 634595907, + 755801743, + 991328532, + 770772534, + 51335257, + 67987993, + 569243021, + 405090906, + 811952624, + 465160579, + 313196346, + 40954909, + 267349697, + 854908705, + 84213508, + 549029513, + 593732381, + 887617779, + 318010086, + 868207622, + 546019321, + 804252734, + 839408917, + 764936156, + 366013232, + 642739538, + 206744394, + 779517242, + 196445227, + 935776326, + 596600096, + 113749095, + 449377795, + 821590621, + 234282385, + 155750006, + 3210504, + 931484805, + 265654853, + 488383667, + 408803783, + 183277731, + 66120858, + 441697997, + 716228403, + 912055686, + 953478742, + 770747172, + 618371798, + 543004634, + 216042791, + 536738115, + 292180719, + 181669924, + 147336032, + 761055082, + 708788867, + 701926947, + 604166552, + 605781890, + 305262933, + 830270420, + 840949796, + 468953786, + 305079982, + 211407008, + 183837544, + 558340987, + 244744720, + 673333037, + 32073969, + 253008061, + 153676706, + 50024921, + 868109893, + 687985138, + 800445637, + 235856596, + 843153286, + 954207371, + 372855950, + 197660071, + 17138960, + 378403391, + 714168818, + 721730386, + 860169708, + 909692379, + 312884099, + 699313230, + 523406877, + 224698123, + 522394758, + 805721804, + 399535228, + 79351898, + 793558593, + 317956623, + 469377347, + 915767636, + 322265569, + 113567841, + 882165768, + 375418991, + 375787698, + 406264355, + 754374381, + 65736069, + 513294537, + 13915602, + 311895837, + 174364363, + 551314634, + 230115406, + 17509191, + 731640718, + 184750965, + 240936982, + 608459212, + 759556139, + 386427072, + 939941306, + 1084596, + 944622295, + 888105818, + 683429213, + 467941196, + 167555162, + 800811412, + 943520634, + 685245164, + 365344722, + 625947429, + 590033489, + 288294686, + 426303363, + 760000717, + 686610972, + 983654797, + 30223327, + 172279920, + 963468190, + 988195975, + 930101545, + 447318843, + 107940831, + 279717184, + 768256643, + 359825952, + 124638361, + 313620877, + 715856057, + 918988234, + 558561981, + 989231476, + 21003731, + 747581316, + 476059631, + 513294160, + 366960105, + 522654444, + 92677193, + 306088597, + 841367108, + 139531625, + 787389549, + 799651660, + 550269972, + 88698557, + 593197782, + 232982813, + 689678434, + 986844354, + 761831103, + 126982039, + 33465291, + 460509975, + 368177552, + 937219458, + 235033911, + 720237139, + 825279117, + 190825576, + 233886638, + 71204959, + 332110214, + 589417586, + 245733294, + 898966545, + 434155050, + 894429496, + 585259268, + 316509982, + 178786252, + 624388191, + 660786840, + 767113303, + 764543690, + 788631982, + 167750499, + 742082530, + 531415963, + 213174695, + 616996716, + 334574013, + 580504278, + 199717139, + 850009152, + 841537564, + 196654876, + 80266104, + 116741407, + 667361367, + 981984716, + 976840858, + 460754639, + 937996385, + 838440728, + 214294784, + 879479458, + 809817791, + 445464182, + 150596300, + 823856223, + 448103373, + 773219400, + 974944955, + 502792891, + 352686926, + 525624070, + 619956052, + 473238333, + 253580407, + 687413772, + 818788556, + 56760352, + 209812276, + 33792159, + 333566025, + 39078170, + 898679936, + 291796560, + 888947360, + 329867394, + 755413328, + 47219272, + 658943141, + 237915059, + 615934050, + 503022788, + 956240610, + 80616816, + 962431806, + 19549209, + 460822167, + 319645836, + 362350400, + 710827991, + 86264545, + 674413469, + 295518697, + 651762883, + 910589985, + 605286588, + 973310188, + 449044243, + 519204052, + 622339434, + 655855127, + 568395026, + 972546951, + 917275994, + 740527326, + 263374100, + 520628329, + 184557159, + 258614287, + 816946929, + 447570458, + 508861, + 275081474, + 291974591, + 730087353, + 851185258, + 710364590, + 311354896, + 631130942, + 961147529, + 82739541, + 961145646, + 984697287, + 718206659, + 21764960, + 54510538, + 24519650, + 721515678, + 958759189, + 957430601, + 746631037, + 609729141, + 93658442, + 360745944, + 987356916, + 292121280, + 497821393, + 824333194, + 74286612, + 313399709, + 917396775, + 295822238, + 607511685, + 889658547, + 549139919, + 708774626, + 362549790, + 973150238, + 292092011, + 947383079, + 852676077, + 160314994, + 865491006, + 671889161, + 489158857, + 605942765, + 108322917, + 18795017, + 317117032, + 428474051, + 339761377, + 691469075, + 396274082, + 309970246, + 513596893, + 857381369, + 901433946, + 176869187, + 441183761, + 209526799, + 786822940, + 859679505, + 651239734, + 790121296, + 509212792, + 438472130, + 174189969, + 903043816, + 270602641, + 354054956, + 284536458, + 429755216, + 876290380, + 206661418, + 866409550, + 64084268, + 986880876, + 953794047, + 189532375, + 542905201, + 646572213, + 427516189, + 25482982, + 883203732, + 764534192, + 347676473, + 562783816, + 845541065, + 196815944, + 588370287, + 185936183, + 348688018, + 34943815, + 165931412, + 89741939, + 76699180, + 864208276, + 2404070, + 332217312, + 945088076, + 878169220, + 524468853, + 587817646, + 972565213, + 426902669, + 25971855, + 413641425, + 560821069, + 822281268, + 44567671, + 153763262, + 356458470, + 690319201, + 415999535, + 881209647, + 48305157, + 975762445, + 920708188, + 905282401, + 577243441, + 201592697, + 684366277, + 904052808, + 896596240, + 354975142, + 131960987, + 893244763, + 83723961, + 342350361, + 196034410, + 112495163, + 948597001, + 278089646, + 105570022, + 649957672, + 481107234, + 977707439, + 895273007, + 818563848, + 509038466, + 359768011, + 63504892, + 372846840, + 527375253, + 707243422, + 689616871, + 102383695, + 698207106, + 123651426, + 948438160, + 535497711, + 131534098, + 16658316, + 403169530, + 643566501, + 161522635, + 183850167, + 352800487, + 947019580, + 299185716, + 405296286, + 867141854, + 350771533, + 870507931, + 27009692, + 973925489, + 309578891, + 494835714, + 298561821, + 160872588, + 6862296, + 113446258, + 152857019, + 956147144, + 989695262, + 336468124, + 892508321, + 174059518, + 262175966, + 662392475, + 20747370, + 397147732, + 178690478, + 431528937, + 374329264, + 963338409, + 573516642, + 352864060, + 483298332, + 401691709, + 442975669, + 461591058, + 887727334, + 185041345, + 661306440, + 863201774, + 246063444, + 329089016, + 786956189, + 117517976, + 961495315, + 286759501, + 419145665, + 913321646, + 204035774, + 19380998, + 565439199, + 490761667, + 856236244, + 13195176, + 599609243, + 441845076, + 611677230, + 933405833, + 381525746, + 822746530, + 194403901, + 667143271, + 793103110, + 468159389, + 277666996, + 997633658, + 419910676, + 546587783, + 340123275, + 88942993, + 911635474, + 306830386, + 597275106, + 216726959, + 639616019, + 892079684, + 388053367, + 729962713, + 147117206, + 716948108, + 589977770, + 55940031, + 200666733, + 748524309, + 443198776, + 347528534, + 407249340, + 499066939, + 172348639, + 457514235, + 962178581, + 470101229, + 198321865, + 922990170, + 624953146, + 552401725, + 524837661, + 864305256, + 282422892, + 255562397, + 414153710, + 721844924, + 246288528, + 129984255, + 588884486, + 679412175, + 246368085, + 653829215, + 842883845, + 120580762, + 178617481, + 861788961, + 251478023, + 449666290, + 580073675, + 700044777, + 938011894, + 163991800, + 592823833, + 71376831, + 704025309, + 695426386, + 391098840, + 807107018, + 577911888, + 50383105, + 88784452, + 494774456, + 520254808, + 25103493, + 562961574, + 69353142, + 469096372, + 718612190, + 512938717, + 675473213, + 221263375, + 800602198, + 347838878, + 635033361, + 310918017, + 396346634, + 165230804, + 310983013, + 549187643, + 417158682, + 202973967, + 13352410, + 858661706, + 651956804, + 217227360, + 416323479, + 942154520, + 79712880, + 405875331, + 456145960, + 143486723, + 289391373, + 381298204, + 902258301, + 288874258, + 148340326, + 688795004, + 325162635, + 640047735, + 156613373, + 197560165, + 737694642, + 436223750, + 33628984, + 734415543, + 189299067, + 728080996, + 391513459, + 361945171, + 351827650, + 222919459, + 139184834, + 586243457, + 986168753, + 531487947, + 644321099, + 432079745, + 868371871, + 279178176, + 39005609, + 70001961, + 478138480, + 342461408, + 873352067, + 252095936, + 231398461, + 341674849, + 826221847, + 22720563, + 539680857, + 883796549, + 115691161, + 916712734, + 790238066, + 460243813, + 171187443, + 932370625, + 183196236, + 677091601, + 595281894, + 647352007, + 469898729, + 970737815, + 574693367, + 596676918, + 593589709, + 490349561, + 349443365, + 305312163, + 548364821, + 103120937, + 868984703, + 125904814, + 661716466, + 559368625, + 40960031, + 479119670, + 496828400, + 597814141, + 41281820, + 770235948, + 742927443, + 846757222, + 37518979, + 339517917, + 389103789, + 442350892, + 645847346, + 534448774, + 747233460, + 177065154, + 72186333, + 548098688, + 854027439, + 425984264, + 542699688, + 602164789, + 110406150, + 48678539, + 991060483, + 738079760, + 556553247, + 124463927, + 6024661, + 354933786, + 168241782, + 705693286, + 965254357, + 864471863, + 65635684, + 865820111, + 102583220, + 230197041, + 977914964, + 694617178, + 407424471, + 9918295, + 773169689, + 189595968, + 947766535, + 574952795, + 898693372, + 512832757, + 130715656, + 269481036, + 199067150, + 86794194, + 758819874, + 786516855, + 434603480, + 813137386, + 603134710, + 184066083, + 154548272, + 332658552, + 781428919, + 98298478, + 387036520, + 124746509, + 705276545, + 251671563, + 93305257, + 96479509, + 388404506, + 508915714, + 543479223, + 192878197, + 618531230, + 636837678, + 812512015, + 708963024, + 656659626, + 236414500, + 883671081, + 253852993, + 741945285, + 905822784, + 418918585, + 883790402, + 794789015, + 278860852, + 258177663, + 111724771, + 294270156, + 70041412, + 979531849, + 692908281, + 322837068, + 659929806, + 477939119, + 668735400, + 893669091, + 53667357, + 640574557, + 114428629, + 247205984, + 564261738, + 325492575, + 184244529, + 616829362, + 799041771, + 598895557, + 543350205, + 7308893, + 874277818, + 518837647, + 539298296, + 118357996, + 272239214, + 75005465, + 51690737, + 129643894, + 479833642, + 809478979, + 7275918, + 648278177, + 453347504, + 736870103, + 818284380, + 828669043, + 955200610, + 847389936, + 664743906, + 309029792, + 483925235, + 975891916, + 267380949, + 775640858, + 836256493, + 663624264, + 305412531, + 112949625, + 928585716, + 339686382, + 766743636, + 997271816, + 424953165, + 207370178, + 447236056, + 479228237, + 605803283, + 883591327, + 994592584, + 473559264, + 691825390, + 59026281, + 917978763, + 46972958, + 425183058, + 16064290, + 1839961, + 303342030, + 656684479, + 609323398, + 433475501, + 985528226, + 101388875, + 136302585, + 591960578, + 91508745, + 184542045, + 809719350, + 22428967, + 902867101, + 638182620, + 626640464, + 793625058, + 446718846, + 318363922, + 420538361, + 642814064, + 409262984, + 383302368, + 115376576, + 474868455, + 705817310, + 670369963, + 542155010, + 430439664, + 625850429, + 111647532, + 313083692, + 283134903, + 126900746, + 467748257, + 394877761, + 552775839, + 915791764, + 613204921, + 870150479, + 214240138, + 709655150, + 442856918, + 170094840, + 773014055, + 562719901, + 509492555, + 907295643, + 714342542, + 767339475, + 707888996, + 460529712, + 474737587, + 74092315, + 187948792, + 195903948, + 298823132, + 14508169, + 516251583, + 640486235, + 510535706, + 341073976, + 110725252, + 244465724, + 720416993, + 123562227, + 560385561, + 984851360, + 227622481, + 295240153, + 7468945, + 158115048, + 100392990, + 161449362, + 752302130, + 796605070, + 463713576, + 313737765, + 266787460, + 55065998, + 884326617, + 371613208, + 790683251, + 245621505, + 540302462, + 493947350, + 146045611, + 953972417, + 850269168, + 921316959, + 782715586, + 51088433, + 814291941, + 191519440, + 766857391, + 303594649, + 418905653, + 117909535, + 600535368, + 638574670, + 860152644, + 722121204, + 531142523, + 624268601, + 519013605, + 264059325, + 182407573, + 693056269, + 80285468, + 1737389, + 546519070, + 567843451, + 780277723, + 661325243, + 888114650, + 901522208, + 804051424, + 631855074, + 781359457, + 253006678, + 207782284, + 864062314, + 130778504, + 328706482, + 914627015, + 582085819, + 412437047, + 31803047, + 534517838, + 414404348, + 908511268, + 456893249, + 428728872, + 898523343, + 475679013, + 204427484, + 81104282, + 478073801, + 354447944, + 123137613, + 638177091, + 169491720, + 708992949, + 905194707, + 990966759, + 342395463, + 245669038, + 863598950, + 100180736, + 713872336, + 767981252, + 892657132, + 894825963, + 411924550, + 318553443, + 950671381, + 468979341, + 479178882, + 247198005, + 849653041, + 315640554, + 34744104, + 714259221, + 333482891, + 553377415, + 884112971, + 337904252, + 293232602, + 744339277, + 501599334, + 662827172, + 818971329, + 518464449, + 423765060, + 987164669, + 897329830, + 67655249, + 148540893, + 995094076, + 113235355, + 628859291, + 384527180, + 327414052, + 574277638, + 28594680, + 836820066, + 689745064, + 243695296, + 512265434, + 582224239, + 687971437, + 328485529, + 375441535, + 235441884, + 784336109, + 469845337, + 58623229, + 626581982, + 334261131, + 808435983, + 340514423, + 379174361, + 457007090, + 210508262, + 782012683, + 665538916, + 228001136, + 596333185, + 833707316, + 798250577, + 567287628, + 713686503, + 208167258, + 717156530, + 754127471, + 216674800, + 104769787, + 270623803, + 277991236, + 702484016, + 674518682, + 687690477, + 47069009, + 37700967, + 170492248, + 416735805, + 143321016, + 223895772, + 566505207, + 325457559, + 157264779, + 317052570, + 73555058, + 410542354, + 385035658, + 118598331, + 806283812, + 524884184, + 828194775, + 854201696, + 285840435, + 904903100, + 798593583, + 314427535, + 202681467, + 584537486, + 365523295, + 691178343, + 783458235, + 14843163, + 198180313, + 133694499, + 210156545, + 606632511, + 511482713, + 354103696, + 757610402, + 637722934, + 272726227, + 572900790, + 577424048, + 280206110, + 12667742, + 338940814, + 952852312, + 720219729, + 332788617, + 756336225, + 447831344, + 221190641, + 677641290, + 944481419, + 520405083, + 795825933, + 410999079, + 838950675, + 959402275, + 81423067, + 719029437, + 633838321, + 4521204, + 300943182, + 17618854, + 724417773, + 321728094, + 984024927, + 549965505, + 874924742, + 730380516, + 487740261, + 895489037, + 652340342, + 763627725, + 791749494, + 807605999, + 982457621, + 923625209, + 338731152, + 163598470, + 255261741, + 981964233, + 641446452, + 94909572, + 954499064, + 299765046, + 214914337, + 542674416, + 852513444, + 774861600, + 285425989, + 706220092, + 332591414, + 839715503, + 79697283, + 976689450, + 667728307, + 498686398, + 139248714, + 785642933, + 665052546, + 79560628, + 562634815, + 646971828, + 398229790, + 822233847, + 11929900, + 186400922, + 977413936, + 300020367, + 382923752, + 988735401, + 694893501, + 301107569, + 783187651, + 874905424, + 568540401, + 760001784, + 8785451, + 247690337, + 318191557, + 832311629, + 106458031, + 938522382, + 380296744, + 306935624, + 950005363, + 254457520, + 507775044, + 329123753, + 474489568, + 48507364, + 76969129, + 310096794, + 231206787, + 282709700, + 83248443, + 890306236, + 152379635, + 509694217, + 817590825, + 568249284, + 639754916, + 551779849, + 951442277, + 171415781, + 161547905, + 53227824, + 792386849, + 625639347, + 757487106, + 68501529, + 233007063, + 173496805, + 332316700, + 256668051, + 456142286, + 759686747, + 239271298, + 675190306, + 974213838, + 33277217, + 646293016, + 51864530, + 94745922, + 164680829, + 103691299, + 96208557, + 595719825, + 642168996, + 781423156, + 629312853, + 812223087, + 449391773, + 299335997, + 740367772, + 409546146, + 363028912, + 405152424, + 82331860, + 636765150, + 229979207, + 620271031, + 18047966, + 164224670, + 994080285, + 41890240, + 69086165, + 456483257, + 331292189, + 373352562, + 379986524, + 826974395, + 268034908, + 796122517, + 520859133, + 887555405, + 230634955, + 443623324, + 72530821, + 727627208, + 289469128, + 192992419, + 659499429, + 624541158, + 567719784, + 175198602, + 501873077, + 223098318, + 913787484, + 662681588, + 205985144, + 855554851, + 32179380, + 249011372, + 681976873, + 354440247, + 204862596, + 374048620, + 490138974, + 735991251, + 806215965, + 970813983, + 451408610, + 629653976, + 505911277, + 670980493, + 962313273, + 983426225, + 589965559, + 512085283, + 179513847, + 970789895, + 974407036, + 871878168, + 519407270, + 213787136, + 435312911, + 957130814, + 714462968, + 367972902, + 149862953, + 308663127, + 751112190, + 390748270, + 359604398, + 363849558, + 540688939, + 662202220, + 321865674, + 474169642, + 246018538, + 123637757, + 818303253, + 94831753, + 909951539, + 832017920, + 665494128, + 518637182, + 146436693, + 332069927, + 764619268, + 51886526, + 984183835, + 213930736, + 96984077, + 484826595, + 950144369, + 872228620, + 122262411, + 382061242, + 593413693, + 598899431, + 793829838, + 388105672, + 741172425, + 127383832, + 879865239, + 308593665, + 601092758, + 901350943, + 537798849, + 316224106, + 214628154, + 977268237, + 56953881, + 356325375, + 866389599, + 416820206, + 421884148, + 461199847, + 474122134, + 464732399, + 555846098, + 26205593, + 650281206, + 861326745, + 905219735, + 131306342, + 272711562, + 461668834, + 595131428, + 740174807, + 149604134, + 203582280, + 550924548, + 617780248, + 346973069, + 52961673, + 363304543, + 960584750, + 715409895, + 377268815, + 243432524, + 910002725, + 478143441, + 145064986, + 218402664, + 160144795, + 654899205, + 765880285, + 563593153, + 246764202, + 977761044, + 412249894, + 853998093, + 922459685, + 603405022, + 473836407, + 976134853, + 575300962, + 656718439, + 207732642, + 278964651, + 207172482, + 888351815, + 92774363, + 742391977, + 112911605, + 442788662, + 986755823, + 856015925, + 328161999, + 108748489, + 265852700, + 52714856, + 440570772, + 354597167, + 567283979, + 557799111, + 375549545, + 678821530, + 82422050, + 745534640, + 758177795, + 579039645, + 722894917, + 88168681, + 353492563, + 356037330, + 875286433, + 572494411, + 625028197, + 24519520, + 32527634, + 112322867, + 24377161, + 923539512, + 352967150, + 319343328, + 218630822, + 444908343, + 24466634, + 12872474, + 531895132, + 142281605, + 709484004, + 218268872, + 88729105, + 114835213, + 859412747, + 723170776, + 265596085, + 192651435, + 662182362, + 123220569, + 803241393, + 162651859, + 524022653, + 948733864, + 439430586, + 770455835, + 833151389, + 488002927, + 570939124, + 105028205, + 937333404, + 970239795, + 818411408, + 980843148, + 82076745, + 655012473, + 124006612, + 619341464, + 148179593, + 733386522, + 295941216, + 339738243, + 616749417, + 995095161, + 474285884, + 599799109, + 537285966, + 5674616, + 315254972, + 833300256, + 986417228, + 821498707, + 873106118, + 501076512, + 254134857, + 788570978, + 567023142, + 812418445, + 134254381, + 11306201, + 884074756, + 736647957, + 977428484, + 260979275, + 133574657, + 979267192, + 961153790, + 299940782, + 946333588, + 360463820, + 164103371, + 151769583, + 855780972, + 216995231, + 892099773, + 615799476, + 769764290, + 361163841, + 396482055, + 64155010, + 271258829, + 291877754, + 604401366, + 527642014, + 966904110, + 45135663, + 47079232, + 66521675, + 392294054, + 408670114, + 955340396, + 217764416, + 832048501, + 315708653, + 215601094, + 623923404, + 72203508, + 74424259, + 538785543, + 8663837, + 288694100, + 371031602, + 271905879, + 177311256, + 317496554, + 602747755, + 356192056, + 999788827, + 513118911, + 901673364, + 426288494, + 626642654, + 311795627, + 871488221, + 307250822, + 340508432, + 483905311, + 307001793, + 570868533, + 26331559, + 777105696, + 69909183, + 783193663, + 4000291, + 720282550, + 52663335, + 849294804, + 678107324, + 687435018, + 763603679, + 543100949, + 430095749, + 531853263, + 307852485, + 752942231, + 875694728, + 963506531, + 165332675, + 600713028, + 379539258, + 412393491, + 406957906, + 70939284, + 889088099, + 752134401, + 257817634, + 232847111, + 436105026, + 776847771, + 744770924, + 769578186, + 71887705, + 303494083, + 992142101, + 360344634, + 339887545, + 429371150, + 45515921, + 710858848, + 962091466, + 552142829, + 535274495, + 914949069, + 76326728, + 27382066, + 992076983, + 343851264, + 853878887, + 167356651, + 231402540, + 225117688, + 875682285, + 830417784, + 417554547, + 749098485, + 179828024, + 237503278, + 595608227, + 802931343, + 960180196, + 955041070, + 431707585, + 124615021, + 526166462, + 3341267, + 233955711, + 533291858, + 376385527, + 880052435, + 607441080, + 182966682, + 318276024, + 450796394, + 502364727, + 58938279, + 675688443, + 95535238, + 94718393, + 635902325, + 276742404, + 198387753, + 160582077, + 815072989, + 795188138, + 127027051, + 654435886, + 681393657, + 389609796, + 976420598, + 391413211, + 596045079, + 378748674, + 766200807, + 664143348, + 82654450, + 712949680, + 331931774, + 823969389, + 490460618, + 857970130, + 764204150, + 798359448, + 550268754, + 341089622, + 513432899, + 238590008, + 547465205, + 642712352, + 273529, + 985062952, + 934294839, + 351238064, + 150900952, + 244739175, + 306328911, + 178232013, + 744870262, + 314938808, + 306433119, + 157621755, + 294349341, + 450207990, + 803486604, + 17903521, + 487786152, + 357763808, + 688313820, + 388139770, + 216308853, + 616750365, + 982506404, + 222793233, + 956283320, + 154858886, + 231081209, + 449800229, + 620738046, + 118373372, + 806262433, + 264656499, + 239424267, + 998118673, + 492699830, + 48766658, + 142141266, + 464880063, + 533754916, + 956447145, + 750410809, + 61592775, + 110237239, + 299544244, + 871566244, + 550376516, + 122946793, + 837379588, + 392224096, + 789122814, + 436405968, + 7143430, + 275116115, + 360398980, + 272814024, + 597827958, + 952703570, + 716780835, + 661687126, + 581171204, + 220754211, + 558837649, + 433336814, + 900453224, + 288576977, + 954478224, + 228278495, + 75631727, + 77339749, + 935587771, + 51404384, + 918885028, + 8108475, + 862734306, + 176693037, + 621628979, + 556957848, + 852560884, + 874412746, + 95337731, + 496267315, + 529123285, + 117632351, + 970423716, + 682018439, + 948442434, + 629373135, + 688394323, + 534681603, + 947487052, + 928097063, + 320477208, + 135847495, + 882651011, + 107351286, + 233190436, + 151531331, + 606316850, + 559986692, + 588637630, + 930445900, + 534166368, + 747650018, + 499622913, + 662347792, + 460071957, + 400123062, + 962364885, + 667399069, + 928008246, + 90893442, + 293304471, + 438232580, + 10117799, + 628768338, + 133923333, + 934271246, + 182546504, + 806582111, + 232922673, + 330062332, + 688783102, + 448905010, + 42538542, + 279512099, + 432379341, + 270251259, + 952857288, + 154181517, + 873674553, + 500620960, + 467218138, + 995042728, + 107750979, + 515722934, + 346174346, + 779946430, + 833449361, + 594470199, + 784254466, + 595280071, + 651535659, + 821466995, + 77600910, + 387885271, + 908194951, + 100116453, + 914654756, + 588393299, + 131603507, + 147337900, + 633931297, + 473286328, + 715821694, + 636911893, + 413556217, + 393208143, + 303910982, + 195748121, + 155069852, + 520849828, + 551121447, + 38393454, + 505356437, + 182901490, + 142353067, + 802113852, + 459445111, + 253961999, + 365035644, + 277418366, + 464723584, + 494713494, + 676866901, + 776909006, + 923206193, + 899029608, + 508402507, + 717140547, + 292875250, + 209600315, + 52862936, + 41350067, + 501618274, + 474191713, + 655846053, + 724994345, + 833582004, + 155905573, + 277189735, + 976198278, + 377219535, + 734863494, + 212375756, + 860970572, + 37055864, + 577310743, + 492894920, + 366296747, + 30668241, + 449621236, + 428440838, + 401419206, + 481631646, + 425840886, + 945393505, + 850806536, + 967941893, + 922219013, + 37168747, + 967095169, + 682825279, + 33634887, + 607641989, + 485258787, + 179742935, + 354821384, + 360105444, + 455011818, + 968739812, + 99263363, + 73904606, + 925979781, + 849915628, + 103765459, + 171099714, + 831011792, + 108121515, + 356607712, + 491736069, + 855901244, + 778508202, + 153456390, + 140649779, + 597343258, + 296524403, + 545755799, + 391244037, + 500401561, + 244383636, + 903192182, + 910600366, + 527355627, + 656610707, + 274938347, + 641178184, + 327495212, + 975361050, + 156387646, + 940989615, + 287656975, + 144118176, + 829558885, + 346967708, + 677306382, + 751630059, + 889494249, + 343429418, + 136331635, + 582603196, + 758157453, + 583229983, + 360367433, + 758601460, + 469573870, + 10167408, + 422506365, + 104757020, + 794446268, + 544777325, + 779624273, + 451987742, + 753809324, + 797907294, + 580802485, + 848366827, + 485502287, + 507273975, + 319208931, + 231742457, + 830483190, + 455117382, + 861888325, + 98349212, + 50106314, + 587815285, + 587950685, + 485025927, + 894158900, + 808864345, + 279953044, + 38047190, + 417741773, + 262728592, + 836760734, + 367211265, + 838822391, + 408064560, + 973983252, + 900240155, + 365485651, + 632285314, + 602100491, + 198472204, + 340046646, + 730302950, + 159920059, + 540047837, + 236723552, + 465029703, + 412573032, + 527187841, + 985246501, + 168524348, + 195798237, + 705544668, + 684571212, + 792596451, + 743910198, + 413020186, + 418387865, + 580255666, + 59437982, + 82068165, + 829979501, + 947644459, + 203809926, + 118772326, + 575352833, + 118334362, + 408188815, + 37072805, + 253578569, + 272912291, + 377039962, + 880587369, + 426442129, + 482764823, + 524412568, + 431509526, + 962578701, + 905505021, + 240279959, + 14659523, + 904218653, + 900877879, + 838285584, + 435923024, + 486296614, + 869020704, + 316000588, + 331908377, + 20217469, + 98876626, + 141466250, + 975573779, + 105347048, + 482264665, + 33990321, + 723273598, + 411491504, + 146787578, + 868425947, + 57482667, + 735792496, + 948321622, + 42620594, + 58225935, + 488275893, + 148233138, + 703915410, + 482148489, + 41510851, + 236307056, + 469523886, + 721717406, + 453143751, + 795717820, + 669826256, + 438908863, + 81347266, + 514107720, + 413916730, + 459249818, + 903244875, + 933321714, + 439366813, + 64654852, + 152357132, + 347299586, + 758383737, + 634368986, + 572705896, + 861386064, + 213503949, + 787075935, + 393554326, + 781890798, + 580310749, + 148796190, + 201394643, + 233067502, + 766153164, + 56355506, + 518442151, + 768972020, + 589759038, + 923440187, + 221820669, + 365872712, + 542966254, + 624404284, + 774889110, + 601095189, + 226301356, + 9142249, + 583744436, + 652302562, + 335273088, + 634969744, + 550458686, + 577309446, + 297124893, + 910017728, + 403414254, + 308352826, + 564110301, + 599395876, + 306087690, + 20258045, + 852076074, + 570751314, + 321625739, + 68665361, + 653713490, + 936361915, + 323142693, + 51290479, + 485160563, + 951185255, + 434922411, + 409629921, + 582325749, + 530156803, + 585906733, + 851723745, + 536746066, + 922612799, + 118210625, + 957248213, + 342452559, + 602667871, + 284557240, + 385133705, + 913771796, + 551692407, + 747708878, + 218798798, + 52470422, + 453474531, + 63446709, + 63411891, + 63685281, + 245466989, + 992241973, + 166089120, + 880597866, + 408588910, + 847676353, + 671992541, + 511918808, + 711813433, + 522939506, + 191787067, + 878163519, + 610788407, + 166874307, + 140259662, + 204313941, + 28106585, + 294509991, + 429650063, + 76043058, + 252960694, + 819975738, + 697680603, + 611722454, + 467096332, + 751678042, + 859642611, + 822480776, + 430952964, + 521732527, + 72544686, + 201960166, + 340054889, + 158564617, + 505283454, + 184214811, + 733356253, + 686612085, + 54292760, + 403899871, + 941831863, + 953288290, + 962719879, + 631529545, + 403768198, + 810638560, + 361049370, + 429128791, + 275338804, + 273372069, + 140809006, + 413728739, + 177544468, + 34951266, + 420293984, + 659025438, + 326848194, + 333934333, + 347069743, + 521967829, + 398189093, + 280311412, + 788234106, + 654787289, + 444373203, + 506032060, + 185725937, + 385927182, + 334015967, + 52615733, + 583101600, + 194972567, + 467819286, + 253677809, + 593003482, + 433197103, + 786376470, + 192860968, + 15394493, + 501509732, + 38375084, + 484910089, + 724630254, + 975556971, + 396112407, + 470554190, + 80202950, + 970335563, + 202129477, + 499417644, + 815536070, + 100190760, + 999742470, + 73751243, + 37398270, + 779683748, + 988972673, + 143892235, + 910054003, + 46992249, + 180481957, + 204073553, + 566849535, + 206534481, + 468778549, + 124188126, + 897018429, + 337822105, + 864112480, + 827027776, + 47597832, + 756124654, + 702943727, + 506896748, + 507053319, + 486562691, + 198534995, + 204602446, + 846906669, + 420901797, + 724916454, + 799691195, + 202181331, + 207261422, + 329660989, + 646997645, + 811665255, + 320058791, + 104619375, + 800279638, + 268261853, + 107071772, + 215128380, + 361289557, + 472243927, + 803585948, + 660675810, + 931541977, + 401764522, + 565372626, + 661383953, + 755492234, + 897696113, + 715217554, + 245902933, + 188340719, + 765048833, + 732200806, + 739958923, + 636193986, + 787198757, + 95524746, + 796852803, + 910663558, + 760326891, + 584221822, + 945184772, + 93362258, + 14005747, + 189293526, + 692397039, + 714674870, + 89556867, + 263533101, + 215481576, + 358593109, + 354499204, + 636457853, + 901593886, + 27120570, + 11142581, + 739175479, + 191863411, + 803562038, + 629344959, + 166921326, + 479969626, + 814221235, + 327286230, + 157144197, + 83527609, + 110318190, + 120253910, + 179014128, + 213401456, + 66327246, + 787401906, + 65619567, + 234655400, + 481120798, + 732398136, + 161882911, + 516072273, + 832643132, + 724787412, + 339511614, + 410195345, + 887006303, + 173538822, + 832961986, + 730085639, + 905757342, + 21173715, + 992312638, + 690835792, + 882165427, + 293677541, + 347595247, + 299457711, + 783195558, + 667930662, + 679021537, + 180527831, + 745976359, + 824142787, + 247970738, + 372157247, + 773783145, + 23422384, + 311467738, + 588476487, + 762098210, + 389220929, + 665504299, + 211771523, + 178711248, + 913128624, + 588741549, + 975775552, + 688906147, + 468518758, + 867726005, + 12038593, + 31562961, + 471718631, + 779053591, + 538071029, + 656449666, + 898674634, + 793842387, + 19423262, + 890623570, + 185398705, + 846538636, + 40705904, + 445334128, + 36874394, + 657972029, + 616611767, + 229895069, + 655058861, + 155090270, + 241408806, + 641957114, + 726645926, + 967902040, + 983305458, + 845026322, + 324752474, + 885748074, + 389895033, + 9669376, + 428681072, + 676138410, + 801683954, + 898200682, + 866388853, + 49284203, + 990825503, + 35741725, + 475728051, + 952365472, + 409593399, + 290039292, + 656880875, + 84505291, + 672458895, + 790683407, + 93080402, + 850470889, + 617552878, + 897397682, + 616431017, + 919271931, + 538894576, + 28566956, + 639387051, + 397480659, + 888331808, + 312516383, + 712129676, + 139094357, + 925189146, + 429828751, + 669729148, + 657455429, + 44143137, + 896419502, + 373965432, + 654395835, + 522667826, + 393589332, + 287876558, + 651339364, + 828680821, + 314498597, + 144910474, + 361388886, + 948141017, + 899042070, + 604577387, + 297048197, + 700671202, + 243720448, + 222587948, + 421418856, + 427568080, + 669262092, + 94881694, + 350564702, + 816069148, + 933921780, + 787406109, + 394279576, + 247194716, + 659840096, + 963491497, + 621926141, + 942366846, + 377839543, + 904423135, + 106961356, + 877196550, + 630280496, + 328306029, + 381912402, + 259658267, + 256524873, + 14405468, + 91643580, + 692379638, + 778066527, + 343401228, + 265240258, + 890313044, + 800722146, + 764711705, + 88369697, + 528098498, + 768397667, + 13367371, + 983321651, + 305640149, + 967903231, + 204662940, + 756849127, + 386404985, + 473020925, + 13509173, + 189775432, + 83246022, + 122585254, + 309783836, + 919737386, + 251511120, + 224937099, + 649517015, + 42791830, + 846714461, + 954366529, + 328480025, + 308171454, + 834735999, + 832990885, + 716279439, + 676745862, + 834852009, + 890280653, + 869334953, + 655241739, + 778403030, + 392085988, + 728926556, + 129185573, + 555171776, + 475758340, + 828180676, + 229343747, + 545625292, + 632710143, + 214951555, + 887768252, + 180476872, + 540305624, + 488375293, + 447961778, + 897829630, + 150266682, + 935871494, + 239897628, + 36306920, + 14787071, + 137613306, + 19047148, + 167181446, + 221686307, + 926231605, + 440085342, + 708241065, + 321713012, + 700623013, + 523542251, + 269123659, + 394643556, + 408705072, + 430388587, + 173026158, + 90373298, + 742817204, + 679707901, + 916179928, + 827473012, + 830180200, + 389508837, + 726194344, + 34322543, + 60782569, + 810967191, + 296956110, + 985551922, + 802735228, + 69099689, + 861993337, + 882544894, + 3086387, + 354689796, + 637067784, + 147299021, + 323439936, + 749598214, + 64963473, + 875874873, + 260169214, + 786704608, + 261894718, + 832429561, + 754318611, + 736660374, + 115594129, + 71586299, + 378870353, + 263657928, + 15351768, + 115135473, + 763413863, + 306155139, + 922764812, + 918217812, + 193842385, + 113220505, + 283673234, + 20446421, + 16479967, + 685827685, + 117524362, + 817386440, + 717058666, + 227736181, + 634222817, + 962294687, + 241449362, + 254390688, + 412708733, + 547966203, + 442524448, + 926032328, + 256891420, + 892134103, + 479945158, + 235592616, + 347569648, + 954914412, + 515973257, + 350763691, + 638109141, + 69620416, + 839227397, + 51302625, + 449501182, + 366481472, + 832015107, + 905697926, + 676741743, + 37441717, + 811644502, + 416274325, + 789866577, + 872878678, + 726743340, + 572104693, + 828643521, + 720840242, + 947503774, + 827075515, + 550898106, + 867141112, + 679405518, + 98209130, + 957702403, + 892647889, + 588425572, + 227007937, + 763830442, + 318240083, + 58845407, + 237942466, + 393609077, + 548918027, + 593320301, + 471151375, + 782958204, + 680266100, + 849048920, + 365677646, + 536392314, + 258833786, + 522137945, + 497522065, + 157628999, + 138290860, + 222570880, + 278588036, + 754198935, + 765300737, + 243730127, + 364842562, + 689214696, + 860588574, + 23809147, + 751837441, + 383716938, + 107467979, + 102524014, + 141604079, + 22445434, + 383708256, + 454334769, + 766131067, + 512348531, + 434643671, + 635422439, + 481936828, + 340270682, + 479822553, + 387097373, + 478628106, + 136538298, + 729873250, + 989536834, + 485814185, + 839194198, + 969893055, + 4900737, + 372276126, + 391256330, + 586272280, + 322400955, + 116257783, + 201582517, + 799154006, + 794300225, + 236835686, + 279983815, + 993477477, + 369815430, + 804647179, + 892199865, + 979192861, + 324767845, + 793631281, + 994992220, + 664601851, + 815841973, + 802152572, + 481526271, + 221601743, + 503349374, + 80012548, + 962958858, + 84624952, + 97545324, + 792969558, + 869502280, + 5952227, + 12200442, + 275611054, + 79173264, + 328296047, + 894689272, + 111856616, + 73832169, + 961291301, + 579954169, + 418718740, + 247387610, + 878376348, + 368490908, + 714899354, + 228963972, + 607773140, + 245918092, + 386527512, + 558984436, + 136381378, + 997533886, + 132702955, + 467577010, + 848031070, + 100820775, + 491987507, + 282871800, + 336610001, + 620134615, + 769068281, + 501973455, + 139295754, + 264083146, + 272601696, + 430570829, + 807093744, + 219252454, + 832278446, + 950552888, + 343405088, + 545771506, + 85628197, + 756524483, + 489444644, + 87426885, + 991414415, + 718515819, + 178071277, + 832206183, + 782271513, + 748136731, + 746048966, + 977128489, + 392663501, + 611073025, + 961012791, + 281531197, + 770616258, + 131516578, + 460010674, + 181559960, + 184901923, + 140130222, + 620508282, + 280619199, + 736895170, + 913924541, + 539355591, + 632174008, + 541178774, + 632340676, + 398202035, + 600686647, + 818558575, + 486505624, + 342993818, + 847300612, + 356669333, + 526124381, + 60567816, + 666820815, + 365779667, + 123664146, + 83567939, + 462288019, + 838231379, + 783678923, + 953912780, + 874530275, + 307029860, + 634172780, + 744553708, + 988942517, + 927420850, + 521610862, + 191596103, + 264213125, + 779301551, + 588329793, + 138105331, + 712890588, + 76568775, + 92592673, + 709013842, + 849662506, + 594870278, + 156091065, + 342054969, + 655158962, + 65059224, + 293813930, + 179844671, + 795943374, + 562903713, + 792017900, + 332165468, + 800009698, + 355719822, + 141410014, + 772197398, + 29987170, + 496971202, + 782096921, + 9511903, + 973860547, + 483125136, + 20856925, + 489468238, + 901683957, + 540086535, + 218100136, + 55992999, + 473142471, + 137700979, + 915020229, + 484106322, + 762566259, + 688489059, + 804832718, + 501763064, + 948104876, + 869080139, + 257758839, + 926620505, + 539801937, + 636121458, + 496520651, + 874918960, + 534686459, + 635437789, + 877337546, + 343780108, + 665644544, + 860966196, + 352073035, + 697749070, + 1196294, + 960876676, + 421307696, + 731840674, + 27625675, + 973116910, + 313212096, + 128107501, + 812220873, + 534450936, + 994009495, + 228306850, + 291519315, + 417323364, + 252461543, + 142252, + 931128482, + 693419140, + 601231913, + 126368157, + 671843300, + 722421087, + 864681501, + 779788315, + 325781437, + 282912149, + 737300065, + 285388811, + 369858176, + 683062870, + 931836669, + 681026178, + 247155506, + 326225335, + 736894177, + 424866420, + 58488925, + 866913535, + 891622170, + 816644639, + 648093625, + 405827352, + 911260283, + 182424257, + 770290395, + 174191184, + 4150411, + 774823618, + 4108660, + 743975446, + 208168787, + 490626462, + 198138364, + 366394351, + 870445957, + 387643075, + 444604691, + 331991698, + 435191328, + 923185048, + 177753715, + 104798450, + 646219911, + 905397024, + 638164196, + 654227840, + 883176406, + 905225405, + 823111004, + 956537599, + 652464395, + 505104612, + 769438038, + 271049490, + 680409691, + 510953996, + 362219503, + 942628136, + 686594763, + 634394679, + 307769389, + 761259012, + 661809624, + 650113291, + 630632362, + 168359320, + 810572495, + 643931930, + 784647314, + 95056044, + 951033146, + 638136740, + 863588614, + 853675748, + 47578849, + 421899416, + 331160152, + 834725851, + 855728453, + 607509943, + 36937423, + 743193693, + 936642759, + 290411570, + 411723191, + 990451633, + 332825027, + 398059801, + 640363300, + 287945920, + 693537698, + 282145936, + 306438604, + 847249586, + 131540678, + 369443719, + 330733776, + 781509985, + 12753738, + 438680734, + 285309347, + 314556861, + 958172992, + 219745090, + 260961079, + 730818986, + 719235046, + 839848415, + 193625212, + 243314522, + 959630475, + 176591567, + 758314340, + 316260654, + 46265904, + 295087648, + 160330897, + 108167996, + 884371830, + 142154423, + 502958324, + 565641005, + 657529573, + 475968605, + 757412074, + 327458913, + 199322076, + 966625898, + 30609535, + 416300726, + 938067022, + 564112476, + 437062694, + 512900551, + 27007244, + 21411781, + 239239009, + 428130388, + 633965992, + 603277200, + 643979336, + 230237357, + 211907456, + 642880142, + 919276860, + 414752027, + 143108587, + 634480737, + 120346170, + 450902980, + 77506502, + 274185939, + 597194145, + 662190081, + 897906438, + 150517776, + 831574552, + 449974368, + 428361517, + 312056912, + 773669575, + 489389838, + 285569902, + 79459623, + 542069951, + 712228583, + 107133132, + 28761430, + 940563832, + 553415065, + 292817390, + 711512976, + 258030994, + 354450575, + 876418054, + 336882332, + 524380790, + 340457841, + 108415604, + 300285695, + 954742499, + 327667475, + 828543638, + 988106149, + 506696635, + 895943391, + 950797161, + 553319755, + 486769371, + 512421505, + 698746901, + 409456769, + 490436629, + 275097524, + 803398459, + 585682747, + 949493785, + 978811112, + 771552726, + 845687037, + 811847611, + 496213004, + 141468545, + 129098766, + 783328915, + 440395657, + 985895271, + 855593251, + 260813747, + 483653543, + 735144407, + 122805111, + 645551721, + 279599743, + 373817348, + 920627756, + 400492120, + 270723787, + 153974836, + 866940480, + 937663953, + 68447484, + 292793089, + 988017721, + 850209413, + 522828609, + 476495156, + 765260244, + 73146616, + 250529999, + 247408492, + 961215420, + 354036239, + 714267514, + 270162488, + 315275377, + 64284984, + 272811048, + 524935662, + 375512948, + 995059382, + 223363315, + 871038308, + 837292827, + 372529388, + 975813179, + 885087224, + 763766290, + 427781802, + 216285222, + 883435572, + 939301911, + 832218136, + 699834542, + 938060958, + 450736661, + 189622830, + 686595908, + 404014021, + 145447413, + 304864036, + 157931319, + 781374529, + 51334533, + 80066663, + 474144275, + 409862634, + 174241401, + 62369199, + 750698486, + 428009152, + 201924928, + 246472049, + 849223496, + 14321115, + 528092793, + 935882597, + 267703850, + 949060350, + 119274948, + 952920191, + 752989341, + 644805712, + 632290442, + 797867240, + 613135422, + 267184003, + 864580937, + 709291509, + 930645476, + 833849270, + 26910290, + 132152252, + 774331604, + 763015350, + 687893553, + 961045022, + 878919182, + 655664716, + 75110999, + 726722434, + 392052977, + 884378557, + 768761661, + 530037520, + 335780024, + 926209323, + 553648276, + 899025089, + 769672356, + 920142909, + 332516539, + 851326071, + 474128310, + 790250909, + 465012543, + 854401454, + 741220762, + 44974397, + 266177744, + 658219589, + 41359588, + 932579637, + 845079905, + 330929584, + 719197572, + 158556786, + 444671906, + 236216541, + 652255089, + 119750372, + 78567224, + 476084798, + 16104567, + 769990105, + 4385926, + 524021409, + 965209151, + 963443075, + 387345629, + 160924037, + 955094541, + 700752062, + 170935525, + 960810971, + 809840496, + 3982538, + 19994417, + 30185983, + 236521818, + 713127687, + 203677366, + 47983868, + 717727818, + 972556160, + 232861568, + 231662767, + 904004862, + 755642036, + 29457129, + 277769254, + 585253452, + 277981545, + 115847117, + 677230769, + 487431193, + 572866114, + 316910769, + 556676775, + 488775236, + 505033356, + 541400509, + 104393324, + 356155412, + 115222322, + 492928764, + 273205066, + 625762419, + 947496921, + 65056186, + 636060195, + 260205126, + 570651840, + 995034333, + 556903501, + 761729331, + 456869460, + 100080824, + 62081710, + 208851629, + 290945946, + 514943910, + 355417413, + 486276010, + 514831643, + 631767619, + 313131595, + 849376, + 746536661, + 434813839, + 25464667, + 494667124, + 194855833, + 570764320, + 273836659, + 550422141, + 205177688, + 263178313, + 391247897, + 21951665, + 626653896, + 302342080, + 176401659, + 553027694, + 72178859, + 888660654, + 398725672, + 658265119, + 733193879, + 386076982, + 912509770, + 641719246, + 455560541, + 889066423, + 158587127, + 642040622, + 728285824, + 780839552, + 406184814, + 362814576, + 712296434, + 647535550, + 163490514, + 798221621, + 593830090, + 724650049, + 86603361, + 881761606, + 53832115, + 313828577, + 875270519, + 939997497, + 407375321, + 929479910, + 872074954, + 945068522, + 109393944, + 938467617, + 414812412, + 10409960, + 25772565, + 712551400, + 926173003, + 199685988, + 390319752, + 246017328, + 428132190, + 599545382, + 545915202, + 6876745, + 851674151, + 901278445, + 668133852, + 272606349, + 128022117, + 698685899, + 403823418, + 609321976, + 717169795, + 187808238, + 254097371, + 362365200, + 341106691, + 154931165, + 771141195, + 933732672, + 616851683, + 396374271, + 219403139, + 264212049, + 399657805, + 225757282, + 196605253, + 817450839, + 225629518, + 724288677, + 859386010, + 584885734, + 18260864, + 577643118, + 710565245, + 552254248, + 436923526, + 74859890, + 705758579, + 602000236, + 131074437, + 272937640, + 592850745, + 888013602, + 277537830, + 752852015, + 792681417, + 463336138, + 983939838, + 738028481, + 724196602, + 801781135, + 729496683, + 754972245, + 747061526, + 890067393, + 298872469, + 539917557, + 928681337, + 877221080, + 815221049, + 273229945, + 59082971, + 906025094, + 860794087, + 799204428, + 954765796, + 620688610, + 537137738, + 266413104, + 653833811, + 678846494, + 107148693, + 46164602, + 816867248, + 297129194, + 121615924, + 288405236, + 601501449, + 480103606, + 152827946, + 343611543, + 373427912, + 151307732, + 341343022, + 819318930, + 533440995, + 789778380, + 578630242, + 699687809, + 980092775, + 155496667, + 683399245, + 183823976, + 282644429, + 666145530, + 436427448, + 529534562, + 870102806, + 907770348, + 501085587, + 227549161, + 459761418, + 825139320, + 784646555, + 92825692, + 65716852, + 659496592, + 232824395, + 665691623, + 161121878, + 80933319, + 688223307, + 215275170, + 404989072, + 506895231, + 680871717, + 253949804, + 978409557, + 652192262, + 644423896, + 255706671, + 893871805, + 538609166, + 486678020, + 808014636, + 624992105, + 503405147, + 992779407, + 465631270, + 765242606, + 348571657, + 207047104, + 667282887, + 812553048, + 311835076, + 392216584, + 927785205, + 828722269, + 962107289, + 217369794, + 48204234, + 653114285, + 500894596, + 346567966, + 77436469, + 822725552, + 752908036, + 207071842, + 601161420, + 279867888, + 367588002, + 488366613, + 638716131, + 206945428, + 161165215, + 327893869, + 920716605, + 609238686, + 510144253, + 674500370, + 897332081, + 964185025, + 572973816, + 269584410, + 738300021, + 652093758, + 390547580, + 644888977, + 15760567, + 392152302, + 90256095, + 79135934, + 824849257, + 317707387, + 674326181, + 759783729, + 966232368, + 259733935, + 960435791, + 528362441, + 775640408, + 719474797, + 127387871, + 51962261, + 980940310, + 316977232, + 588277253, + 342540573, + 526928489, + 376054928, + 823828884, + 558563255, + 317350968, + 255503538, + 887395085, + 289082337, + 174189809, + 646585598, + 339256439, + 459966266, + 442937407, + 837074550, + 325331295, + 409345710, + 641930711, + 182211392, + 684324793, + 610533681, + 940268406, + 410170191, + 540887672, + 767596889, + 903265490, + 37421414, + 624682016, + 565426447, + 567388063, + 375068042, + 287281501, + 463007953, + 640610845, + 364969975, + 909198326, + 856530971, + 71009693, + 304230722, + 709243669, + 560257292, + 50929644, + 854492979, + 815092109, + 250742891, + 377486035, + 223723865, + 151521094, + 445351469, + 322216648, + 384545313, + 43030515, + 477707583, + 835058645, + 783435222, + 568116482, + 86281731, + 332556669, + 285172777, + 319304784, + 944298492, + 747267426, + 435972653, + 234406837, + 850831516, + 994458533, + 259161356, + 917919473, + 946323815, + 590866870, + 858558782, + 883315464, + 811934570, + 99590502, + 276038125, + 259772089, + 402015391, + 568414745, + 548816403, + 616441902, + 890543095, + 850554065, + 132514130, + 270183825, + 118282956, + 713247837, + 428263233, + 554404790, + 451898917, + 814738486, + 860076982, + 998482216, + 94299634, + 454903883, + 205566914, + 271846077, + 250878922, + 711272210, + 804519712, + 405266401, + 713216399, + 246101042, + 373254260, + 607711104, + 205323747, + 385630409, + 973426684, + 413705171, + 379357265, + 487948061, + 457914101, + 647279841, + 63130713, + 45769349, + 495055788, + 577397462, + 351521353, + 924889771, + 577010219, + 133267422, + 434294021, + 189827663, + 196341921, + 429681985, + 933398897, + 482198966, + 43473109, + 712956207, + 878175367, + 748910972, + 750409572, + 595710400, + 885205199, + 100840886, + 475592361, + 736782579, + 251267673, + 295152869, + 990954632, + 911030842, + 677566837, + 299513962, + 956572824, + 343725589, + 476999838, + 120098873, + 921660328, + 259706027, + 155764922, + 348491650, + 580898952, + 54744830, + 701158327, + 276009207, + 599142801, + 64003728, + 602197008, + 701035209, + 858970919, + 489725061, + 670611656, + 420049812, + 915970181, + 327594742, + 598336881, + 645769244, + 124629598, + 93258424, + 838587170, + 945581794, + 972568743, + 554982540, + 260202586, + 683222978, + 263200192, + 337729622, + 753690806, + 812311178, + 994499840, + 700721887, + 273722148, + 706798544, + 62840720, + 743314081, + 574985732, + 370004104, + 270260137, + 890910361, + 513165174, + 416040337, + 993086525, + 499898267, + 685426513, + 217404368, + 536985014, + 902042262, + 627370239, + 141241742, + 177100540, + 623762037, + 821122245, + 807498404, + 700532187, + 201537832, + 799351125, + 233905464, + 661925349, + 392200030, + 652804348, + 498793818, + 731108883, + 854709274, + 366609248, + 830076707, + 47792956, + 179488799, + 254449067, + 920253666, + 931931681, + 85063150, + 408804226, + 362184849, + 65475380, + 470414731, + 286204643, + 194045790, + 840223828, + 278060791, + 748022798, + 687067234, + 617291517, + 231458253, + 815834204, + 247187323, + 416819409, + 139888134, + 580423209, + 740694299, + 441597397, + 928330264, + 860911551, + 198180356, + 31207990, + 670965392, + 918103020, + 298005583, + 503649707, + 390119991, + 222904065, + 691826545, + 794267812, + 527356081, + 261371633, + 53799248, + 493569238, + 499494306, + 811954487, + 450671545, + 593881102, + 861247761, + 500349865, + 984956760, + 348881212, + 238898369, + 51925851, + 140795233, + 146812238, + 976845190, + 926507078, + 776401657, + 973977046, + 319542959, + 650371605, + 703915384, + 595916887, + 489247914, + 902731663, + 675251957, + 355385882, + 541569982, + 416725711, + 826311200, + 485544719, + 728710764, + 294826729, + 587381335, + 71506197, + 338861067, + 461664600, + 750974253, + 799043876, + 697881863, + 386962531, + 120073323, + 51980544, + 597206945, + 167100008, + 909448462, + 285646025, + 423071721, + 910340263, + 591669951, + 505009781, + 741048131, + 172747664, + 625745772, + 992007875, + 420635320, + 698439770, + 205060455, + 476539910, + 527088152, + 308245179, + 515952859, + 680263972, + 818047545, + 109463172, + 729141376, + 927832725, + 107885821, + 323103873, + 806109936, + 724893457, + 834749467, + 792477316, + 33112255, + 768545839, + 653609548, + 50560309, + 538964995, + 989299606, + 911055212, + 891886750, + 833000883, + 953543220, + 484841399, + 275005795, + 748180709, + 680692618, + 868364378, + 756155580, + 536639201, + 907976035, + 928327361, + 271929844, + 744273497, + 488463221, + 863939852, + 498463600, + 407434223, + 803529914, + 288641798, + 848073858, + 997476638, + 888140717, + 136634180, + 941959940, + 189132057, + 406424369, + 913391405, + 776343648, + 643673574, + 238609772, + 137207148, + 528639743, + 37228254, + 67848085, + 943969485, + 284615267, + 833172452, + 13936530, + 47154039, + 367151477, + 597956196, + 68907850, + 937285129, + 840496172, + 886452027, + 972631079, + 210614486, + 453232156, + 411378388, + 916348876, + 562780129, + 42411267, + 362859653, + 236876989, + 63429436, + 518756760, + 683078480, + 195055935, + 997881204, + 273469350, + 135294073, + 895899648, + 504569586, + 821923230, + 622765828, + 204761819, + 837153718, + 843738097, + 114578501, + 808707756, + 413096248, + 40301403, + 710426501, + 816997126, + 542766907, + 835325038, + 415226274, + 534819205, + 699448574, + 446112970, + 638703812, + 34782637, + 197319290, + 785914000, + 505753199, + 337069284, + 480009994, + 669364264, + 174801251, + 832625841, + 916674854, + 457336753, + 307663939, + 526844759, + 82591284, + 798644865, + 421978467, + 635340560, + 215624763, + 299176563, + 289506471, + 561243274, + 897318856, + 358876871, + 305196296, + 986420735, + 82787891, + 638399497, + 747671921, + 360201260, + 755415131, + 287578032, + 822326129, + 45259867, + 847794028, + 498546025, + 930707187, + 852840083, + 36683045, + 22633146, + 58168256, + 614184710, + 281716685, + 695294646, + 126844102, + 884314290, + 334169409, + 233219187, + 250429498, + 115725024, + 14688906, + 433700321, + 594935993, + 297880885, + 360232101, + 688423466, + 699439847, + 623388527, + 216161199, + 234379689, + 833486619, + 852270426, + 745713105, + 466456948, + 910639312, + 146756022, + 834840770, + 355289007, + 372847708, + 661211377, + 597296877, + 539099087, + 659257064, + 942842740, + 98919366, + 554433373, + 31447235, + 678583434, + 755288119, + 345626868, + 619733276, + 966933067, + 384102165, + 217356781, + 989761573, + 173056867, + 640790874, + 2763688, + 153653850, + 249167913, + 692820118, + 135496, + 222074741, + 60103080, + 155073379, + 837032798, + 762943992, + 136265398, + 508182254, + 643976666, + 402210364, + 45870844, + 943426375, + 4233875, + 567129266, + 838936497, + 968701592, + 730283030, + 284296722, + 57683495, + 21265333, + 620956154, + 757355995, + 850364070, + 992909733, + 650015825, + 387841578, + 666061114, + 480815410, + 334821416, + 316486978, + 178518833, + 677891574, + 415820695, + 908606220, + 449431480, + 663666055, + 71820030, + 393140681, + 4894284, + 400475413, + 966414297, + 892380430, + 924813795, + 388017159, + 689530464, + 112598501, + 859747346, + 356142632, + 406767134, + 768779313, + 265562156, + 641325210, + 350430149, + 215965983, + 226075042, + 4078570, + 196830379, + 946395527, + 509737810, + 360561181, + 874516617, + 357030979, + 398482668, + 635301664, + 779851943, + 434947363, + 99565464, + 231558591, + 610436046, + 158774925, + 872813757, + 882848273, + 110258487, + 75659726, + 220431860, + 699876385, + 621039731, + 716333097, + 460253787, + 234174190, + 384655273, + 90085425, + 617402144, + 717406241, + 721024333, + 334170866, + 909643953, + 82179475, + 374364121, + 365631848, + 510592627, + 296990417, + 689219808, + 226035033, + 365210617, + 338894027, + 69196656, + 361252214, + 97327534, + 557041556, + 520542549, + 894694523, + 682773587, + 549232909, + 508156394, + 100328961, + 114503854, + 400990861, + 8775129, + 538671047, + 701652494, + 213797193, + 105456172, + 700742296, + 716433970, + 240850991, + 983604861, + 683669864, + 868902283, + 745012844, + 953160286, + 196149903, + 19797501, + 121556193, + 335069560, + 654911562, + 28629223, + 37078931, + 176765500, + 119634305, + 55194190, + 291624122, + 882507728, + 296692222, + 252673094, + 553032586, + 826782799, + 607389521, + 520269570, + 877368324, + 255381589, + 464414850, + 815446841, + 379901126, + 778964985, + 730538769, + 774193657, + 936995082, + 410631333, + 217516935, + 767586668, + 807546907, + 603468839, + 469263663, + 151934408, + 481060594, + 130498305, + 984509549, + 40131792, + 198120413, + 539661606, + 4634204, + 115403576, + 651339502, + 562424455, + 105355632, + 351841854, + 428637068, + 445063772, + 77647810, + 913307529, + 213116906, + 935262736, + 578838510, + 648756140, + 664678803, + 393249287, + 336526046, + 731906395, + 112122331, + 744364101, + 811327798, + 117977037, + 878992381, + 788380250, + 46252097, + 871216303, + 805476786, + 120910819, + 76933797, + 78279525, + 877866916, + 366321785, + 858513335, + 465860558, + 549530172, + 664660078, + 544383310, + 717497224, + 304272802, + 263040487, + 633794279, + 9882143, + 333168730, + 350107127, + 846094748, + 222959279, + 444830568, + 106721657, + 425681136, + 121033601, + 515281109, + 749899391, + 876051460, + 622981884, + 564357240, + 441956274, + 156714363, + 744725273, + 981964425, + 656093936, + 655651932, + 218528239, + 174751861, + 390587341, + 477738225, + 730205415, + 277009613, + 275650903, + 814582262, + 384437177, + 691339514, + 767457167, + 490029856, + 644318469, + 671685959, + 26730300, + 196363399, + 435088080, + 110485903, + 672227232, + 487202742, + 509746765, + 478541880, + 692392912, + 940732485, + 829178325, + 259034712, + 618316003, + 669248359, + 432426980, + 619558927, + 659930758, + 467990963, + 847249811, + 607398665, + 332400118, + 427573769, + 147912417, + 351478051, + 131261000, + 688859924, + 302665184, + 577707013, + 842972551, + 979653766, + 150195102, + 334905819, + 178413724, + 328635598, + 614977465, + 466062090, + 154837206, + 470064868, + 792463664, + 311529973, + 298859742, + 842321258, + 666385831, + 780049850, + 736544056, + 406725512, + 705271552, + 421074040, + 159231871, + 237349410, + 976500005, + 695137659, + 836413720, + 955968990, + 15228263, + 195083845, + 27911060, + 329721009, + 904901023, + 178046688, + 280684151, + 164036032, + 520821138, + 867389640, + 331011361, + 257532803, + 477994721, + 710137048, + 439878942, + 944141385, + 452529848, + 564767691, + 92742400, + 55245765, + 544093541, + 433702430, + 625172501, + 801640689, + 589259290, + 933704498, + 484432773, + 934889363, + 322530341, + 976985492, + 378325950, + 386807409, + 741085510, + 985817668, + 214586804, + 756365519, + 209150745, + 533572208, + 794844225, + 113928437, + 921524034, + 338069977, + 302982574, + 864041183, + 383769249, + 83056502, + 283327759, + 791888621, + 48724982, + 483883280, + 270517291, + 306158502, + 166884030, + 113740652, + 757310079, + 157070723, + 76897164, + 534222037, + 730994329, + 80661216, + 879110609, + 603639029, + 759649075, + 490331938, + 349897879, + 929805724, + 259481009, + 207190289, + 16563597, + 699420776, + 874229687, + 595541109, + 714907032, + 784721093, + 309187483, + 729561427, + 492142566, + 831007873, + 508302431, + 33038817, + 608348603, + 152817656, + 405237716, + 985682011, + 684551333, + 927032937, + 363716281, + 38414066, + 640739106, + 975555036, + 51752881, + 131902399, + 863725658, + 543383394, + 819406343, + 394085882, + 186977748, + 379090547, + 553001434, + 99574491, + 643277025, + 5735851, + 396377709, + 405316928, + 940572054, + 809212344, + 16600679, + 794265701, + 602887552, + 84709338, + 884731221, + 419142874, + 211690433, + 148865430, + 752137121, + 640056619, + 896097187, + 266692157, + 606929172, + 680590309, + 615203049, + 897806623, + 50418224, + 548441633, + 3685210, + 940130055, + 159718684, + 964837371, + 511275029, + 916746829, + 943140012, + 558107004, + 830925002, + 427874024, + 543845029, + 232185792, + 200955652, + 482291340, + 520892074, + 854427873, + 428281684, + 290409805, + 472624468, + 399068836, + 174848496, + 459857570, + 302828734, + 519927154, + 543276936, + 729077687, + 687288019, + 490605009, + 81009771, + 145480452, + 403882915, + 644231960, + 234331507, + 290586925, + 944876052, + 286404972, + 756891076, + 686833042, + 861922003, + 329397496, + 311347126, + 449165068, + 645215355, + 758114971, + 828217262, + 953399294, + 16589279, + 570039527, + 974395327, + 687997639, + 987370663, + 165487250, + 87453989, + 386867036, + 690346928, + 459934965, + 78308132, + 66423094, + 689926028, + 574534329, + 300011216, + 638765049, + 152526746, + 918121765, + 167405643, + 711558113, + 171731646, + 639746161, + 213498637, + 458622712, + 923537579, + 403645326, + 514838512, + 917662531, + 968724472, + 138663413, + 461449486, + 408934839, + 847297755, + 687592889, + 365219226, + 19303767, + 965497968, + 923992532, + 460903392, + 322013944, + 934361824, + 75650549, + 799046007, + 706898352, + 453974419, + 548247275, + 526204439, + 389231750, + 283704223, + 93706973, + 99705835, + 771999154, + 596084134, + 827939194, + 793718875, + 369991083, + 911845143, + 258518926, + 733872243, + 345351803, + 841920064, + 89124813, + 906000908, + 937565824, + 753571666, + 5073504, + 118904995, + 158550672, + 290696755, + 347065303, + 788064957, + 735001313, + 802366638, + 289634, + 936587428, + 593358220, + 344975653, + 571837125, + 476373717, + 15012571, + 261682882, + 501975824, + 714738988, + 467203865, + 125242158, + 433514336, + 83776959, + 212178554, + 162875153, + 814220286, + 571394877, + 714351330, + 672325427, + 68839099, + 834982674, + 212495414, + 497657983, + 954177126, + 873088522, + 872704438, + 960839978, + 409288298, + 586173681, + 535641770, + 4446666, + 343349013, + 104810877, + 981493694, + 400385005, + 295211199, + 605696855, + 926443425, + 839945484, + 75925086, + 66483862, + 39509997, + 883439326, + 931859236, + 310504680, + 335286281, + 389030615, + 944502668, + 313653884, + 629080141, + 788643086, + 935470534, + 320566538, + 987474008, + 216513281, + 974306672, + 732765111, + 879734309, + 26558825, + 210050369, + 267930502, + 800455626, + 359181400, + 277669252, + 949069984, + 543609750, + 233232894, + 823232293, + 461300901, + 775132902, + 599796388, + 161436834, + 876155905, + 729465038, + 797173018, + 272425372, + 131050927, + 118185683, + 473137822, + 297411751, + 504112514, + 351139200, + 810133927, + 729742625, + 48567996, + 819585300, + 705797866, + 994249236, + 237264968, + 584894608, + 860847293, + 536374241, + 451726445, + 741694908, + 638519272, + 292750585, + 889427066, + 514545607, + 29813529, + 604297063, + 511692233, + 854768316, + 498884968, + 420253942, + 616068162, + 994543256, + 925144297, + 830455355, + 379970687, + 401795333, + 39665370, + 62699411, + 57787904, + 714404208, + 581818366, + 539423601, + 457707772, + 129102851, + 831766586, + 210186240, + 736646498, + 182323764, + 465493818, + 311463768, + 577184491, + 22582706, + 806613440, + 306172788, + 641725415, + 210967557, + 5360114, + 803167245, + 307724100, + 3191382, + 295421530, + 46191682, + 160736494, + 298308912, + 992950028, + 443069863, + 1861804, + 999978070, + 960367494, + 104226904, + 298641531, + 263323251, + 25127384, + 944535356, + 584948530, + 730798909, + 372046823, + 18398708, + 675249940, + 621293267, + 287290813, + 750215603, + 885020075, + 232815657, + 67990115, + 876334605, + 380572865, + 935843595, + 398713344, + 156946674, + 713542848, + 274200599, + 254218626, + 341782720, + 808494794, + 926850890, + 216171, + 762278065, + 827122270, + 662284060, + 291415141, + 930313282, + 848385559, + 387539985, + 367042431, + 500108908, + 6238546, + 55222123, + 446947634, + 545595838, + 787046847, + 942458577, + 944561046, + 431914705, + 384158677, + 992990204, + 474876567, + 364820464, + 643511118, + 600278173, + 93056526, + 274144218, + 166763049, + 373583075, + 656927410, + 177845305, + 112176156, + 863703418, + 133886378, + 975405053, + 206466510, + 219495619, + 768349225, + 220816902, + 132353280, + 822874692, + 336803861, + 220859658, + 98832326, + 381543485, + 885710372, + 329818206, + 91211382, + 923133308, + 848753740, + 801163608, + 952295254, + 773435718, + 377394041, + 717167000, + 331179512, + 749520701, + 392473732, + 695296608, + 301954407, + 913243045, + 340430690, + 367776826, + 744634512, + 825747631, + 771581576, + 946982172, + 752568203, + 656578791, + 954486987, + 518776941, + 396058077, + 806516400, + 808482489, + 578170380, + 765833304, + 729415520, + 773630297, + 728199437, + 293473061, + 192371643, + 689263976, + 132106109, + 304124003, + 749458128, + 946129895, + 833282698, + 938524997, + 324662387, + 610979214, + 119305720, + 636872264, + 108426849, + 711307825, + 723026877, + 371998056, + 523873981, + 315808439, + 337794035, + 216425701, + 247263602, + 300384420, + 995321040, + 575534699, + 586194523, + 904305706, + 452677296, + 148465985, + 47996954, + 8696841, + 930698144, + 780524835, + 692449916, + 680677899, + 674853883, + 85621279, + 353941257, + 234907702, + 199050028, + 685132749, + 904556588, + 906210665, + 944974047, + 473955554, + 574289358, + 808210082, + 486127859, + 454296370, + 967203940, + 243078965, + 117980326, + 134077763, + 146438551, + 24577226, + 822848552, + 229063630, + 564650240, + 618220910, + 900098963, + 814476785, + 420652255, + 842114899, + 915344446, + 685804195, + 650324655, + 741309995, + 758411057, + 826271867, + 235532936, + 868432870, + 349115519, + 436033698, + 401553293, + 242955628, + 47324182, + 610283492, + 747227548, + 976199971, + 530209708, + 800407598, + 725923382, + 878652336, + 464045608, + 163091104, + 634245446, + 376109733, + 626943116, + 784720804, + 305068853, + 706728158, + 405215668, + 578817138, + 755457295, + 701269499, + 879421749, + 821725372, + 400418474, + 749692925, + 129235058, + 415644434, + 542171230, + 567048234, + 875886554, + 867777348, + 53372952, + 193230606, + 706817432, + 542619345, + 652072343, + 534300465, + 694358898, + 859520971, + 123404375, + 93927350, + 461983173, + 327944286, + 185468777, + 713484499, + 174173140, + 852398481, + 157583882, + 757054177, + 272422878, + 441525677, + 937932404, + 196355609, + 432697636, + 898097872, + 928889185, + 289932873, + 450768008, + 55738955, + 191872666, + 628892374, + 365457023, + 205106958, + 734327271, + 735508802, + 203611158, + 68127015, + 171847505, + 269245163, + 363542238, + 635965271, + 295990957, + 429977984, + 126121269, + 585997776, + 310604507, + 768311454, + 341204071, + 14065295, + 901226690, + 75980080, + 733146249, + 25867520, + 34346053, + 120147876, + 267555879, + 301556282, + 833879052, + 843944068, + 656307408, + 61730217, + 821190340, + 24655288, + 874274770, + 64447875, + 713051176, + 830796007, + 308878628, + 233699602, + 970148957, + 830490979, + 756679690, + 483110771, + 463538391, + 15586322, + 594617560, + 389792, + 906423338, + 111429312, + 983728932, + 685047707, + 471892369, + 795061526, + 631374293, + 256798159, + 745543546, + 587685094, + 455029969, + 537025944, + 89469549, + 897062439, + 649498216, + 979499603, + 815329051, + 919778649, + 947987399, + 179234439, + 620527023, + 268281665, + 938102485, + 976342193, + 549706471, + 835388408, + 721638017, + 455899658, + 629493030, + 46564404, + 411661455, + 976409204, + 864650181, + 837754339, + 908201236, + 605855973, + 112166898, + 586692085, + 694471783, + 775511362, + 233053600, + 701927921, + 409852769, + 510296852, + 597967854, + 203211870, + 752457138, + 265676367, + 83447782, + 962838203, + 38403167, + 687831288, + 142708251, + 137572041, + 592511272, + 560169740, + 369970975, + 82564165, + 425972761, + 524533142, + 451333643, + 305864250, + 868463055, + 707075470, + 750479351, + 546787523, + 959869450, + 485773607, + 801983769, + 351652728, + 208723143, + 599900391, + 453631015, + 760911837, + 134810667, + 428161134, + 980669654, + 455151357, + 763047060, + 465431428, + 499817764, + 397311398, + 434432916, + 140121039, + 535337886, + 644458695, + 769917599, + 141332517, + 186722156, + 293092668, + 978221272, + 651930801, + 224573006, + 488531706, + 924007855, + 899478699, + 730770649, + 957950896, + 705121578, + 979012630, + 661522772, + 978071303, + 941421074, + 488688487, + 610994226, + 547910532, + 346837842, + 66065227, + 566367689, + 187894785, + 847978414, + 447547684, + 838780664, + 336857899, + 204944326, + 730051587, + 665839627, + 258337726, + 372422548, + 341713939, + 560923312, + 97300577, + 761787653, + 356410972, + 869200548, + 775654017, + 143141762, + 530325991, + 440708338, + 80793973, + 923741126, + 694742166, + 133435955, + 596708375, + 220255416, + 897087125, + 591452585, + 90611240, + 906842421, + 907587153, + 16904446, + 46375617, + 644907562, + 679590337, + 309398775, + 404742408, + 478546794, + 326763442, + 737796184, + 670074792, + 589760673, + 458178186, + 951848316, + 291013388, + 585581284, + 182544259, + 732874393, + 633765291, + 479023395, + 664341462, + 227866916, + 440496824, + 715701761, + 987106438, + 823325427, + 869524205, + 48559726, + 459855222, + 930316080, + 205502007, + 717298911, + 200734565, + 941114014, + 838329859, + 686456442, + 821972081, + 766205384, + 462039938, + 736227003, + 965554341, + 983051608, + 924766654, + 500432947, + 90444312, + 546015721, + 623937343, + 294459334, + 913605042, + 101017094, + 446340727, + 7836468, + 314995833, + 300193848, + 712965755, + 970594207, + 91738429, + 881981465, + 565648082, + 336195622, + 290700620, + 992204096, + 409034618, + 189002184, + 397320147, + 588816424, + 267969483, + 363061523, + 768218706, + 84714614, + 518571798, + 586857517, + 836432504, + 74560523, + 948947207, + 757983958, + 139727978, + 84382272, + 573047656, + 724899354, + 508308220, + 253875387, + 580679782, + 643695463, + 292354638, + 356338950, + 478699206, + 58448196, + 420376028, + 657286767, + 320007067, + 246151559, + 878764149, + 296711043, + 592410667, + 10568867, + 585471558, + 536331077, + 993947035, + 178583876, + 775827396, + 501796231, + 923239192, + 110225978, + 767245972, + 752767996, + 886328642, + 758379909, + 167603767, + 840718557, + 484937861, + 505133615, + 936847885, + 194510870, + 697417611, + 977547419, + 126618649, + 921186609, + 713324254, + 576600549, + 677225630, + 671386100, + 788978691, + 421681162, + 143504641, + 185579187, + 348248513, + 662598415, + 60113435, + 715228960, + 187480280, + 722551237, + 980334501, + 590330030, + 848732957, + 699634322, + 80268823, + 208378506, + 362833224, + 386341785, + 810121991, + 495690934, + 53946695, + 382873441, + 435481389, + 427530752, + 611352170, + 129288216, + 406406086, + 990315783, + 541065402, + 609949369, + 430890187, + 2947243, + 949013254, + 416624121, + 845953837, + 875868003, + 274902308, + 798795895, + 531595981, + 965261218, + 742113680, + 310040597, + 808660413, + 968403862, + 581330058, + 973294187, + 89006972, + 413337831, + 940020313, + 557211491, + 14580100, + 105741647, + 554279219, + 471740475, + 150018178, + 186039465, + 553684874, + 538135400, + 466431382, + 982701750, + 823903919, + 598640543, + 327795616, + 387564918, + 938627799, + 921689244, + 534616127, + 764646423, + 948270555, + 513890077, + 139490050, + 159804936, + 53184469, + 574419359, + 4670339, + 138007721, + 953020732, + 430662493, + 371464899, + 40936869, + 334028520, + 222032197, + 142808692, + 295254046, + 260486072, + 291398412, + 314836737, + 134949970, + 580427675, + 108533554, + 255702859, + 346178258, + 420005350, + 10539747, + 332897142, + 501882224, + 511173200, + 48279312, + 55075005, + 990787671, + 286910859, + 522277278, + 37386125, + 350624157, + 187016110, + 138099628, + 393042624, + 363061945, + 349947988, + 813782085, + 758333929, + 668568615, + 745638665, + 513875030, + 120154674, + 861436891, + 745556244, + 777273430, + 588467903, + 406947471, + 446158060, + 428652575, + 515427286, + 611862693, + 912620998, + 337281932, + 616931272, + 850126012, + 51180426, + 369647120, + 881472215, + 3003687, + 189766862, + 423012861, + 187489227, + 545672730, + 116479320, + 273949032, + 819043008, + 424542917, + 312617791, + 4759068, + 933445960, + 298415764, + 868519440, + 696295124, + 855794752, + 23357612, + 563160673, + 597931176, + 281903382, + 93083508, + 177612095, + 128496558, + 905732051, + 971774804, + 783377889, + 63130801, + 907832739, + 648026978, + 965527041, + 87479593, + 52165052, + 977130959, + 548868669, + 166006145, + 850266317, + 426860290, + 86617559, + 346695931, + 876195761, + 479635224, + 287669510, + 700665509, + 394700909, + 391737880, + 573085877, + 62530738, + 309729237, + 573397110, + 445831080, + 348329813, + 290738351, + 472922928, + 237249089, + 442662541, + 403774612, + 922490582, + 759846254, + 597774738, + 583228918, + 631813345, + 668568976, + 620278603, + 599004911, + 833015799, + 271460226, + 452501270, + 228856253, + 624487660, + 356440264, + 908974906, + 384891699, + 924330567, + 328999732, + 864645800, + 217122286, + 444566724, + 390088872, + 771430184, + 831682123, + 138682027, + 525016624, + 142328279, + 724502047, + 923433668, + 608866413, + 30254329, + 139475559, + 709660875, + 679813341, + 208001394, + 372068957, + 738001104, + 621912998, + 558541819, + 896705505, + 77751679, + 733567768, + 462165806, + 806614597, + 271859812, + 914307444, + 382534983, + 997629370, + 730199653, + 876452211, + 257680856, + 924247697, + 139393682, + 775563538, + 651038233, + 652050081, + 868976294, + 650325291, + 230640109, + 163540671, + 275882470, + 917863931, + 300323333, + 612860130, + 209243909, + 855612637, + 45753044, + 266004767, + 993647108, + 700837994, + 44630317, + 967101176, + 610354062, + 369743647, + 228164613, + 514544486, + 434603945, + 895326813, + 45362622, + 816382667, + 548775210, + 865648139, + 904805948, + 625367226, + 139448857, + 588388793, + 369683361, + 150138201, + 433969899, + 521437556, + 22960569, + 355058588, + 176359581, + 529320749, + 247228849, + 685290079, + 649107497, + 88922435, + 704789487, + 143859945, + 565681078, + 397349487, + 637764413, + 547748749, + 947767655, + 888210644, + 953526207, + 685971171, + 438519098, + 771687513, + 393410592, + 940619107, + 850731896, + 602379227, + 411850800, + 79470447, + 420711720, + 293754344, + 877638846, + 107846827, + 726215029, + 333410080, + 830374361, + 634000372, + 567183573, + 472724541, + 272895349, + 375824215, + 526928602, + 607412895, + 10679176, + 591460897, + 826623062, + 412641625, + 494058630, + 18124599, + 511424779, + 884478686, + 727206321, + 543350741, + 450592763, + 149757264, + 651122466, + 518513838, + 285732754, + 71478075, + 80314242, + 429267163, + 383037866, + 736766935, + 100536270, + 13345576, + 904922373, + 337981857, + 738641569, + 858419443, + 502733597, + 801805202, + 870212783, + 64166528, + 804557197, + 674108543, + 504388947, + 669467646, + 689689155, + 83889348, + 967929885, + 97788917, + 624998188, + 999110192, + 595125573, + 765326823, + 18506023, + 607992291, + 191283825, + 883467869, + 640843752, + 418344665, + 581022957, + 824369753, + 141663068, + 648677026, + 276465461, + 16882183, + 751494246, + 28653440, + 299619821, + 25445241, + 368245965, + 631070325, + 244113571, + 543958988, + 250499064, + 251952754, + 876258049, + 80391134, + 176588194, + 854091226, + 594097468, + 311352364, + 425035866, + 862682608, + 171356131, + 641425043, + 512141066, + 242891722, + 151902131, + 111952973, + 724801250, + 743153297, + 991200555, + 760595067, + 813288327, + 397287476, + 845132365, + 20030118, + 503778855, + 303465534, + 624869262, + 933971979, + 184284126, + 184175029, + 193680870, + 174438509, + 909181501, + 624085807, + 633609567, + 293304550, + 654582117, + 820885139, + 435178992, + 333436593, + 65145734, + 99044971, + 569910471, + 93485083, + 934130945, + 359732018, + 234084823, + 153917278, + 134662438, + 833950943, + 4491618, + 132744782, + 734491884, + 133012598, + 387170275, + 904908884, + 402878784, + 624178696, + 260819547, + 811868669, + 434563442, + 831240811, + 718440803, + 638971602, + 687968303, + 104577444, + 145692867, + 38090690, + 191772326, + 310695741, + 972943207, + 432980067, + 430365514, + 533743887, + 180127638, + 171924806, + 963402013, + 193438641, + 317140688, + 578120132, + 147698126, + 462774292, + 350163983, + 329260420, + 605284167, + 661786948, + 21405110, + 214704079, + 990926018, + 744536073, + 392214473, + 241263486, + 370653313, + 557423579, + 714879005, + 987135655, + 578653474, + 170179641, + 972822288, + 546235624, + 975412793, + 919313561, + 378826961, + 833190593, + 591045316, + 801884211, + 720756616, + 117684342, + 806023212, + 22665961, + 520846810, + 702018728, + 373287289, + 725996812, + 49653371, + 492643278, + 964172546, + 598900595, + 966828544, + 823933265, + 358172210, + 300218029, + 482368016, + 40231699, + 867433770, + 387672976, + 413671836, + 260359276, + 244759984, + 750438530, + 274184363, + 62742637, + 790237718, + 404966332, + 78335987, + 995152419, + 416556790, + 506410779, + 558278316, + 343423548, + 117353689, + 377850069, + 325183448, + 524473605, + 126097172, + 965263264, + 565835459, + 148530859, + 99145339, + 73518511, + 619314042, + 892842342, + 669593030, + 157219371, + 500112251, + 16533326, + 125015285, + 753767759, + 444923974, + 418738185, + 843337907, + 39068549, + 18398607, + 41790962, + 778183235, + 802842761, + 225471446, + 56086864, + 464471636, + 279714264, + 523827677, + 690000606, + 274845746, + 577465910, + 407139616, + 617257032, + 827284904, + 274261188, + 842215877, + 794765069, + 916361968, + 185171889, + 860171668, + 982468226, + 530769472, + 430396482, + 914905983, + 111756846, + 296362200, + 86295910, + 844581627, + 829375857, + 870776962, + 828250508, + 882314141, + 883661383, + 891833480, + 744289163, + 55395406, + 850939255, + 203065919, + 704121952, + 726171955, + 479763324, + 747256635, + 733491837, + 883344734, + 975866356, + 74613810, + 739560869, + 213661489, + 660376761, + 941367130, + 487078515, + 897686333, + 928722865, + 715522957, + 368786754, + 461896814, + 765584763, + 843871047, + 458052626, + 313906411, + 164528854, + 195317924, + 766910643, + 955800036, + 134557542, + 292035855, + 495705452, + 138124140, + 339422162, + 12847197, + 322704582, + 903704106, + 399216881, + 592712640, + 777010870, + 890324006, + 619126809, + 512153021, + 518467845, + 845957042, + 883523342, + 841450419, + 644704600, + 326573751, + 578996451, + 186676474, + 907783996, + 545843120, + 196793726, + 344981562, + 974564956, + 690726715, + 602996002, + 455954386, + 966277204, + 31805654, + 84283022, + 242218050, + 111560802, + 489759674, + 761291856, + 279878360, + 759876982, + 489825174, + 936607957, + 263192874, + 814082347, + 493584990, + 804514692, + 882930428, + 730637595, + 975161462, + 984356057, + 246837585, + 122294835, + 534927017, + 9150432, + 138145749, + 473628624, + 765238411, + 289029466, + 296461798, + 75333273, + 20344581, + 856748251, + 3253889, + 327019966, + 775519567, + 598025560, + 123154931, + 222219723, + 964985650, + 744448401, + 883036655, + 882700598, + 832733881, + 619092150, + 988453744, + 277127432, + 616735026, + 995541301, + 953428866, + 951782814, + 746337806, + 479475002, + 610118144, + 163847354, + 432588895, + 379810697, + 616924871, + 411597718, + 775483393, + 713984951, + 165158360, + 51096701, + 920820780, + 843875635, + 82569976, + 23316312, + 608041671, + 808909162, + 156828680, + 403392120, + 613354108, + 119993846, + 798915557, + 268687622, + 238501275, + 114873907, + 746111502, + 952437493, + 992964014, + 255920052, + 895767598, + 950061730, + 834958520, + 6260151, + 518820984, + 521892396, + 494720417, + 748046539, + 395689278, + 354896458, + 67277447, + 595665550, + 520211457, + 6939113, + 971741404, + 658068022, + 213668462, + 515553911, + 976021812, + 567377416, + 733439442, + 376360597, + 678396046, + 409599866, + 892422394, + 734127012, + 327836213, + 512772256, + 433586811, + 507107991, + 290126123, + 439908188, + 775553325, + 874924164, + 742410603, + 228798234, + 305794769, + 582273251, + 760276341, + 610850916, + 16305915, + 810051582, + 995447153, + 188400810, + 529265745, + 115453972, + 385213159, + 512082220, + 878084202, + 252444888, + 993085143, + 514462924, + 524950542, + 421036295, + 19562447, + 889352566, + 75522430, + 201958363, + 447424413, + 699973379, + 534875884, + 816412501, + 839027956, + 214241134, + 309456700, + 500346344, + 707542904, + 686161471, + 384807117, + 36133326, + 940919650, + 255246337, + 203626637, + 340988865, + 598164384, + 417340743, + 206822797, + 622625529, + 142565972, + 293960790, + 510359771, + 357528158, + 666375621, + 230533841, + 971476294, + 807351569, + 747375054, + 677396447, + 640113521, + 494309367, + 100850234, + 938372089, + 816887698, + 111055408, + 510372777, + 997605314, + 206373273, + 339205673, + 460147546, + 117710591, + 912084635, + 888267784, + 309813565, + 590349704, + 807030825, + 889987364, + 744933409, + 752375192, + 237424752, + 32956202, + 106959243, + 675474761, + 115482323, + 307388277, + 904507964, + 28105232, + 508543157, + 910285842, + 543123034, + 975847701, + 656762063, + 371442473, + 386923283, + 503445049, + 865938456, + 306330433, + 999340435, + 476965574, + 401330385, + 168601543, + 194193112, + 973318809, + 66621951, + 842022892, + 460551406, + 260643528, + 495469432, + 567954203, + 254175588, + 455195458, + 344210984, + 534972103, + 920098096, + 970544065, + 818121943, + 920955771, + 121714032, + 914729591, + 307107938, + 464319798, + 23994455, + 271998668, + 594034124, + 631801969, + 576241071, + 609047540, + 402506080, + 809624398, + 179557957, + 314826272, + 329019081, + 394128753, + 311528152, + 647200111, + 351019838, + 885897300, + 701063455, + 978065201, + 216946510, + 447649941, + 275687837, + 889760104, + 939913980, + 754815293, + 461283024, + 349123819, + 225739767, + 557756574, + 200500331, + 867848172, + 279755978, + 690082284, + 941826627, + 302469376, + 901627996, + 482996489, + 984258509, + 669096568, + 805254920, + 49761820, + 525008937, + 848220708, + 907109112, + 468196344, + 762478612, + 899869314, + 712986839, + 812132901, + 216584716, + 237490074, + 792702365, + 450253535, + 986999671, + 385766885, + 732438840, + 318841488, + 569365667, + 546584131, + 263213064, + 653112886, + 94107127, + 116901870, + 404542654, + 711493261, + 993542671, + 734074181, + 547236483, + 59639057, + 158705309, + 561337821, + 398424979, + 780911604, + 74903278, + 117607480, + 450486024, + 697634154, + 695311575, + 81695937, + 232377628, + 956706647, + 613307710, + 866555862, + 688796364, + 586767250, + 896482228, + 452542431, + 726999356, + 703263045, + 374592560, + 748561191, + 573714045, + 896818573, + 231899745, + 612033150, + 436365650, + 22298705, + 582673944, + 402091484, + 765156263, + 723277443, + 912008371, + 111862302, + 240438291, + 762217732, + 682045949, + 286654980, + 179972077, + 416788235, + 779538767, + 805111206, + 808325469, + 948138512, + 280206076, + 144420510, + 159672849, + 92619793, + 182838633, + 95956787, + 913795001, + 623764671, + 603708219, + 239963837, + 641379050, + 420473401, + 614081745, + 221084081, + 920009623, + 396518146, + 571834631, + 672378426, + 526933373, + 354606608, + 788035789, + 545623302, + 961830661, + 932223324, + 333110692, + 163671255, + 169804151, + 814702831, + 789725368, + 784650000, + 833697166, + 821256167, + 54059460, + 974535415, + 257214523, + 373847391, + 211881760, + 202226475, + 565791018, + 668822067, + 788266097, + 561416126, + 476927883, + 718978868, + 909903716, + 198215687, + 884374859, + 396617733, + 964086201, + 795219868, + 596033080, + 377716678, + 113706750, + 811987232, + 576044147, + 221209155, + 852475394, + 134889783, + 699267396, + 153315378, + 979187154, + 935288123, + 182149824, + 255216589, + 881538790, + 631679378, + 762356647, + 115994612, + 83728326, + 583211339, + 397020670, + 544744913, + 619435410, + 334300136, + 385726758, + 168520286, + 540839095, + 807273614, + 120648622, + 285335901, + 183997864, + 2043740, + 593551504, + 692448325, + 657503847, + 579293881, + 428626563, + 195222528, + 607440385, + 974444953, + 438447595, + 559585492, + 647707357, + 847260648, + 340723685, + 410208334, + 514844129, + 705101916, + 151820061, + 471335460, + 200759107, + 612441677, + 709718945, + 449330869, + 116174763, + 665621024, + 475298901, + 820599227, + 335045349, + 656804976, + 210298915, + 585510452, + 783656789, + 875371921, + 614910503, + 871129129, + 951329455, + 119521283, + 175620890, + 184122126, + 620537014, + 610316410, + 682946529, + 134436837, + 691048929, + 375196453, + 100670951, + 823270276, + 583373683, + 736584562, + 609299257, + 818277182, + 851315716, + 680387380, + 934452263, + 907999285, + 764299049, + 321365405, + 314221627, + 613056685, + 560444217, + 302541666, + 606333067, + 846003154, + 268358026, + 364149785, + 82069597, + 951576492, + 182526837, + 675079055, + 318157063, + 463220587, + 791287145, + 867759910, + 62358070, + 860477145, + 438468177, + 177071150, + 214470288, + 423322928, + 556990716, + 243095980, + 679389379, + 529566764, + 836824353, + 428105600, + 839013945, + 316700332, + 799703262, + 566321870, + 285196972, + 984548763, + 554682146, + 434555824, + 417884292, + 185525306, + 228830196, + 461151248, + 634678092, + 36451933, + 407805218, + 47401782, + 857174036, + 332305672, + 514107848, + 371684996, + 862112404, + 25382775, + 316320036, + 748098178, + 396748036, + 851732610, + 851208989, + 489088174, + 153337010, + 519049902, + 610619575, + 189647647, + 746845941, + 182260345, + 611648063, + 28563007, + 767439638, + 255261578, + 594054679, + 959600479, + 640675781, + 419590643, + 402740208, + 627505673, + 123709908, + 335393013, + 373020213, + 293301473, + 181968473, + 251192746, + 739292081, + 488331580, + 270899573, + 304087602, + 250843565, + 145105072, + 893656715, + 340286293, + 48108172, + 392977087, + 879846609, + 865618216, + 755619014, + 779537941, + 379927251, + 225701632, + 170245826, + 909800050, + 947425042, + 456901985, + 600677787, + 519396074, + 799352185, + 373564636, + 313522, + 43543400, + 376037315, + 69236069, + 85268651, + 455265717, + 692565345, + 556732399, + 912010652, + 976459108, + 943038789, + 687819347, + 93742940, + 263343559, + 731953030, + 594105763, + 864625215, + 873606701, + 780657473, + 567691521, + 538598469, + 296000459, + 481351061, + 626406399, + 573579952, + 737942593, + 247541014, + 623273377, + 978228806, + 490979452, + 688789276, + 964442441, + 597170672, + 431815215, + 428128065, + 210334627, + 896352805, + 922238517, + 22978901, + 56265874, + 719041973, + 742660897, + 823128244, + 374075397, + 916990823, + 275254871, + 197704297, + 989273446, + 370134254, + 927028884, + 638065367, + 448561588, + 852987736, + 478335231, + 330948070, + 615118618, + 803729160, + 703075758, + 788175491, + 38892123, + 480085281, + 817449930, + 549152010, + 939119308, + 308490311, + 321672869, + 697088342, + 612720184, + 780003628, + 920402949, + 166008591, + 724266051, + 194917295, + 465904825, + 572805048, + 277267949, + 647461951, + 61749989, + 900662155, + 969794724, + 998358022, + 429842175, + 220559310, + 286710859, + 14328913, + 514928027, + 465186078, + 327192927, + 973201322, + 993786557, + 919089360, + 51243744, + 120872027, + 665978363, + 262881196, + 798776210, + 979163328, + 885729657, + 772916126, + 229423298, + 806534276, + 817231642, + 952497773, + 162383257, + 436454722, + 726536912, + 581918860, + 279541219, + 589765699, + 215996002, + 607320667, + 162816337, + 63288398, + 823531493, + 911869840, + 8694232, + 276370109, + 182897472, + 256975892, + 171090956, + 667180517, + 116691404, + 79184375, + 133789360, + 605609122, + 712506406, + 135571523, + 450966423, + 626096677, + 874950668, + 574558373, + 382310154, + 471885363, + 589971357, + 921552835, + 9542904, + 639668044, + 189313346, + 317725412, + 623972251, + 332479201, + 504596274, + 712451902, + 802718358, + 536524638, + 460684058, + 122107320, + 922189837, + 691218768, + 164247671, + 969937800, + 611281305, + 263008695, + 367229393, + 586048651, + 861453782, + 167471838, + 157104039, + 762918603, + 712252718, + 717807572, + 977247606, + 442558536, + 384197658, + 648823123, + 717214619, + 568906868, + 905431622, + 904314411, + 303856446, + 10998048, + 377918238, + 129610395, + 780630835, + 968110717, + 827305938, + 391135789, + 972399035, + 581346853, + 998813454, + 132990688, + 483869678, + 861978831, + 53545400, + 688869781, + 961327384, + 948394285, + 341725148, + 314922955, + 278245907, + 614761297, + 886958384, + 81054050, + 892031394, + 117040139, + 385074054, + 249827990, + 971713053, + 770628774, + 685919230, + 906539561, + 256139030, + 126047428, + 989302180, + 642798623, + 618277131, + 621746003, + 607302255, + 404913183, + 52417652, + 35961656, + 642389040, + 870215670, + 235004457, + 449195318, + 343977502, + 168182850, + 672705525, + 697716834, + 825464548, + 606935619, + 829812039, + 899906909, + 999659043, + 371737782, + 686325280, + 79250015, + 512249278, + 731960679, + 266084172, + 375268530, + 845653298, + 519424770, + 300967692, + 161194525, + 269079027, + 200212333, + 399165232, + 947340192, + 445609420, + 524552813, + 536915359, + 961490620, + 449426111, + 417561213, + 30877431, + 803907250, + 354826006, + 2097029, + 545166313, + 860369142, + 434479940, + 308380967, + 851363717, + 25447691, + 183376278, + 213515233, + 396949452, + 994979281, + 113767566, + 650075662, + 441104935, + 481649725, + 206029197, + 657651333, + 243173554, + 278467842, + 669828667, + 637674947, + 155007935, + 415409762, + 576937276, + 953519569, + 559719468, + 744512328, + 742430759, + 165592820, + 401770329, + 346417343, + 144966813, + 731406585, + 876579418, + 224771699, + 892681625, + 234092337, + 251262715, + 871583674, + 708202001, + 924990942, + 7209880, + 84265826, + 331020973, + 989095841, + 654434562, + 969565269, + 705629097, + 973558073, + 19876453, + 801569312, + 414931590, + 100209963, + 807174159, + 174345286, + 966248780, + 765800644, + 546531854, + 655843653, + 591810240, + 81590486, + 59904298, + 92458332, + 818373329, + 17568766, + 227213152, + 393674472, + 194539410, + 522949629, + 318998465, + 262696628, + 841408281, + 184957444, + 302443630, + 978293339, + 944999768, + 826992703, + 703904031, + 262742485, + 461223676, + 479976587, + 666866460, + 178055443, + 140058962, + 574826055, + 43396201, + 883157844, + 1100430, + 822103013, + 482805371, + 996917793, + 342788413, + 811373353, + 820439793, + 63576317, + 644317482, + 702280562, + 720919969, + 894880935, + 570181239, + 406126817, + 845204330, + 312886303, + 303578803, + 706573525, + 391923267, + 545772956, + 838806053, + 775888052, + 584147239, + 830059658, + 254340680, + 604802644, + 762873258, + 881414936, + 860368834, + 225765957, + 473812272, + 71126142, + 787129499, + 768471033, + 452430649, + 687682406, + 769807236, + 593438390, + 391516700, + 236363302, + 140957627, + 670257573, + 958865346, + 990662987, + 844028463, + 400827712, + 826166663, + 608590733, + 775253823, + 365915012, + 131137839, + 885559886, + 681384904, + 454368167, + 452645885, + 266394763, + 239878687, + 647591272, + 967165437, + 376655558, + 683436930, + 435207900, + 795816275, + 122365797, + 808042663, + 3825827, + 642216831, + 439197620, + 14406671, + 551005946, + 979455021, + 815453794, + 27840161, + 690923584, + 983076016, + 59433425, + 960171977, + 479493245, + 224756780, + 245817873, + 422743600, + 89326238, + 596854208, + 744252641, + 477840792, + 705867514, + 901677093, + 119474256, + 285224081, + 58741597, + 153532838, + 92335023, + 379216862, + 571176548, + 932451528, + 31400094, + 686312309, + 462978255, + 923216750, + 193479985, + 872522624, + 644375568, + 413125043, + 828762594, + 803649994, + 787440779, + 741977358, + 651332111, + 48931113, + 407553192, + 417881496, + 737324344, + 798108804, + 449116781, + 633778960, + 922454447, + 973463214, + 323445422, + 788848060, + 292575880, + 461558723, + 705916487, + 687096029, + 726037533, + 667561264, + 259681355, + 86312869, + 397909144, + 193421088, + 698189499, + 617050984, + 945640191, + 846391861, + 308329884, + 490385182, + 146570530, + 27834996, + 867179877, + 513040224, + 223719104, + 807476131, + 328425298, + 773191152, + 740315457, + 390207220, + 835344859, + 712740191, + 809327344, + 593379237, + 813879252, + 892811552, + 863875194, + 85087631, + 530507225, + 481812116, + 117877870, + 544807119, + 988581552, + 936011402, + 30756631, + 847933477, + 955829158, + 342304866, + 857986807, + 446423422, + 670791848, + 596967790, + 787560369, + 791228088, + 688328238, + 265375739, + 415107519, + 2571782, + 238040981, + 628620592, + 704503070, + 80228612, + 633766433, + 393690909, + 404720240, + 402145370, + 929445195, + 361706511, + 479572929, + 187055390, + 463636893, + 283967160, + 378444422, + 446084107, + 37628444, + 918486384, + 887878761, + 669351880, + 496523265, + 453860722, + 617370930, + 248600918, + 319176341, + 807384744, + 787923863, + 600256309, + 39133972, + 278097765, + 733438333, + 745139819, + 627838016, + 575761523, + 188898676, + 843997370, + 202600987, + 132200795, + 405364877, + 703355813, + 672736471, + 402752874, + 724454558, + 66721677, + 728393002, + 502746254, + 273009679, + 943007699, + 77480715, + 422736081, + 805996196, + 793589789, + 856581890, + 561842743, + 353465053, + 39133127, + 85230213, + 329079545, + 55275548, + 677675112, + 257025525, + 883975814, + 704536425, + 801303103, + 618712365, + 395908805, + 319044795, + 952055233, + 910606518, + 826565411, + 200356867, + 608037858, + 498455292, + 970134255, + 338839518, + 397178794, + 862234794, + 97082413, + 483604989, + 757382205, + 666491826, + 606948757, + 790183583, + 902178932, + 344908722, + 174506800, + 873042807, + 748384559, + 914883879, + 556988886, + 19707308, + 820079746, + 992717644, + 132689692, + 764892644, + 621734646, + 336626291, + 685323659, + 904122876, + 831427268, + 663429281, + 556288880, + 386481658, + 317343377, + 490720184, + 762243254, + 755511594, + 934658630, + 997732619, + 559096976, + 506329727, + 246861293, + 500756815, + 454165964, + 28052999, + 252975746, + 555568850, + 996224232, + 36576431, + 641577844, + 967709774, + 817682973, + 789354099, + 88071654, + 516105950, + 911148441, + 354644128, + 431732829, + 64275907, + 928787475, + 366980244, + 204020300, + 241937554, + 613501692, + 736798555, + 539599850, + 78006767, + 309755482, + 231388479, + 738373856, + 223982168, + 284090605, + 203372172, + 197456543, + 162067322, + 395990965, + 750549652, + 994801286, + 566059177, + 297123330, + 883381832, + 684351869, + 153961313, + 915312875, + 22721509, + 337175844, + 643329057, + 713595604, + 291564721, + 676303368, + 549034608, + 81395479, + 553929469, + 214060126, + 1029583, + 524206988, + 813036369, + 769172366, + 165194077, + 313376366, + 502379858, + 107844553, + 92548988, + 65443299, + 450581244, + 427838475, + 102304873, + 843569048, + 487892343, + 920103589, + 216166967, + 34278329, + 299459157, + 578814462, + 848327647, + 108446701, + 382738630, + 113794782, + 123116233, + 689424553, + 614233790, + 501727886, + 726348979, + 62688403, + 264819659, + 10136182, + 228847810, + 772624788, + 20472823, + 363663608, + 814273889, + 204446917, + 915215338, + 974066569, + 258749485, + 629758716, + 542414270, + 445752218, + 303913029, + 438949846, + 512517259, + 134292603, + 847405242, + 169063776, + 282323951, + 885631239, + 477835165, + 483224783, + 939707557, + 797066191, + 893398664, + 859857487, + 994832155, + 336009334, + 831772370, + 779205891, + 499925574, + 473169465, + 200126511, + 851924593, + 269575133, + 126301593, + 525422348, + 40271292, + 51895092, + 660112941, + 391620661, + 835955351, + 466149902, + 50116952, + 740155238, + 899805505, + 253352349, + 837231837, + 265027343, + 199480759, + 691120059, + 788948306, + 607247576, + 165538620, + 873512678, + 623455768, + 819444741, + 595287256, + 947922041, + 326462531, + 373174830, + 812049219, + 897382613, + 398991397, + 482803763, + 743892995, + 700456812, + 568397645, + 390697448, + 570389764, + 258763728, + 349104835, + 348576360, + 517544542, + 368656049, + 793263549, + 132224059, + 499335499, + 630671522, + 381895253, + 38013230, + 960756510, + 718529757, + 405472687, + 849808641, + 454277416, + 365816955, + 438542796, + 726366258, + 558400119, + 250673195, + 26392865, + 571592525, + 347809294, + 844006044, + 984377169, + 436211774, + 609819842, + 221006792, + 356267406, + 759051001, + 549404900, + 971675571, + 583018494, + 612373244, + 467784740, + 197898351, + 170571231, + 266492929, + 818350935, + 188961635, + 154447928, + 980695873, + 474888976, + 449981565, + 540045475, + 923372488, + 970318479, + 937107449, + 927444914, + 641877117, + 586411631, + 743208361, + 463251508, + 738868453, + 656639117, + 381863005, + 750689770, + 190232977, + 466457833, + 880470255, + 921193273, + 638859999, + 79179216, + 666235349, + 603825134, + 645004915, + 199053719, + 222270308, + 195242620, + 584773589, + 129602716, + 999970134, + 965958189, + 50233019, + 204581605, + 514177962, + 801418967, + 349096876, + 437007043, + 696874279, + 454942869, + 446278432, + 255728452, + 317795954, + 57244220, + 815486881, + 758015678, + 409496625, + 479029996, + 737111165, + 989260795, + 599515069, + 423297131, + 153674739, + 35705330, + 628980536, + 960480772, + 641055015, + 719101866, + 84222850, + 90241041, + 499186039, + 298154557, + 473531982, + 487430621, + 63280298, + 3667743, + 303836336, + 363120326, + 259372254, + 730068192, + 264629856, + 617006795, + 372506776, + 455434497, + 606415223, + 172223327, + 577118158, + 225144301, + 911356451, + 901416976, + 547205404, + 495697065, + 475332061, + 529274056, + 958172747, + 453679069, + 51968705, + 753594053, + 950398232, + 245909563, + 619499106, + 26856622, + 413582687, + 303664036, + 331925226, + 353094350, + 873299542, + 162029097, + 405897126, + 108137676, + 812406113, + 668826721, + 261385555, + 157356200, + 867868674, + 33671962, + 772597645, + 926994122, + 768320427, + 908356500, + 997039290, + 140085145, + 443553926, + 998262743, + 191017610, + 22967719, + 72328040, + 693591425, + 81504653, + 656271910, + 654845861, + 957828571, + 891194798, + 823431160, + 264225635, + 740562467, + 306566928, + 643757593, + 310501191, + 310442803, + 962321158, + 574886071, + 423249947, + 974109728, + 528031610, + 47658248, + 910884070, + 844287025, + 270786160, + 347519770, + 26624165, + 511066741, + 966172820, + 21043815, + 337959945, + 968224979, + 373025435, + 218406019, + 138167711, + 557266252, + 312820107, + 20752134, + 421978623, + 859167915, + 302080362, + 451009568, + 679245748, + 154312601, + 889650242, + 71880242, + 618973157, + 294369986, + 3132837, + 967757557, + 263675359, + 847066591, + 379583446, + 624107835, + 78543969, + 881633582, + 47288676, + 853649256, + 910268841, + 578672830, + 413635229, + 673403941, + 464805031, + 828468655, + 165198672, + 418292597, + 679174311, + 164366083, + 134512055, + 145818049, + 826059545, + 342064142, + 111446462, + 48122276, + 714382604, + 441445256, + 943750268, + 571768581, + 136018635, + 187644319, + 755907251, + 65575997, + 422536029, + 303484571, + 744311318, + 820818711, + 486056402, + 924364450, + 784907380, + 176016273, + 43529120, + 878737584, + 339098936, + 704342167, + 452633217, + 16544268, + 54737028, + 661604787, + 127282809, + 959020368, + 747437709, + 293908004, + 981656425, + 15480714, + 28417854, + 792548595, + 91612921, + 453473613, + 259964974, + 267026395, + 372057541, + 573895214, + 804326076, + 587470228, + 269729041, + 723908238, + 853433588, + 976274272, + 795066001, + 460428912, + 874526302, + 285260249, + 621420986, + 682968239, + 44989433, + 394071893, + 53194464, + 606182771, + 14619781, + 310246532, + 220168351, + 100437291, + 314054631, + 807375075, + 492179756, + 997937382, + 47823793, + 873226831, + 919774859, + 701049883, + 988150835, + 466569589, + 607683131, + 769909548, + 508917733, + 737024072, + 776102385, + 273083066, + 593327258, + 779776598, + 3148777, + 556641527, + 786205334, + 104806453, + 570513293, + 465625414, + 358464159, + 694613427, + 289477265, + 574043257, + 528896410, + 754731626, + 440267685, + 658186964, + 473453267, + 645002088, + 760168168, + 79896964, + 486822901, + 504673673, + 41878941, + 71792760, + 479403213, + 132130855, + 274910856, + 348773045, + 213489497, + 544279947, + 537350164, + 40931800, + 674503136, + 511639378, + 587013116, + 261225389, + 800766927, + 763984733, + 671370680, + 120833663, + 924869237, + 107892284, + 565988401, + 943079096, + 158784286, + 244297833, + 500527267, + 524721037, + 532677338, + 251803295, + 335260529, + 284844198, + 752517155, + 124363465, + 710552459, + 332085986, + 79092330, + 751263458, + 551077211, + 73414440, + 643730784, + 389668684, + 340316086, + 831210441, + 267281839, + 622879012, + 438515497, + 390822591, + 320749978, + 890562676, + 803885122, + 910755593, + 512062404, + 720873969, + 894084459, + 628884045, + 982391617, + 278350352, + 535939301, + 200701051, + 795800066, + 622940788, + 743493482, + 98522656, + 693357568, + 405332838, + 377272662, + 607869130, + 483994213, + 459432220, + 87985441, + 941062596, + 866534053, + 980379818, + 191531664, + 562473589, + 162655587, + 397516031, + 611580019, + 331477204, + 95015624, + 465362285, + 202721448, + 520936623, + 731475497, + 318086982, + 265108273, + 990136136, + 835194661, + 780111882, + 121260507, + 88857256, + 996759562, + 776559982, + 46526888, + 616335369, + 519110347, + 937557680, + 639772917, + 942290618, + 289797867, + 880600726, + 445952974, + 704760491, + 404449045, + 275747462, + 505402523, + 5990106, + 302393344, + 630314978, + 859479603, + 236913322, + 343791218, + 451726654, + 195935068, + 10236036, + 61973998, + 968640208, + 193712913, + 520009635, + 795118110, + 6173351, + 310094144, + 344296550, + 729377633, + 534602065, + 761823237, + 695295524, + 68291470, + 41748188, + 84897716, + 358277357, + 939757181, + 249391120, + 488878174, + 861289412, + 5196668, + 478317741, + 565114580, + 107510506, + 737618625, + 471462912, + 591103894, + 228963424, + 283224790, + 621236765, + 222867756, + 489617399, + 638329380, + 972272505, + 398391465, + 271170678, + 149837526, + 678867865, + 553424057, + 394166688, + 371382438, + 245822891, + 369182065, + 635850771, + 286409873, + 210239318, + 79061340, + 868431399, + 345094203, + 197021628, + 95345090, + 178470248, + 350494693, + 224568562, + 503752723, + 443789166, + 226410346, + 600605603, + 674328975, + 881252885, + 25815293, + 703715792, + 388104418, + 673778929, + 878732457, + 412131201, + 536477784, + 534127503, + 628545107, + 804827436, + 899542643, + 120606461, + 271695886, + 603161262, + 605982580, + 384990338, + 384084683, + 34183036, + 50053457, + 242032862, + 465621844, + 927037988, + 787980469, + 408634719, + 484860233, + 30891031, + 222640075, + 804701580, + 739725524, + 173141450, + 515495560, + 166375320, + 150455553, + 635583748, + 192596914, + 408647982, + 273144891, + 356685517, + 241334250, + 199629196, + 522455205, + 737241978, + 515720430, + 178366604, + 880254257, + 122448141, + 795859798, + 930216495, + 762179922, + 906200448, + 213157269, + 710197716, + 20771653, + 320065923, + 5170704, + 818344462, + 815145313, + 140235481, + 306949005, + 589840447, + 869064934, + 348140943, + 465030676, + 246362399, + 799672205, + 821615727, + 551498413, + 277260682, + 579970803, + 566651583, + 42593005, + 74777112, + 967429344, + 195501346, + 922716081, + 421289206, + 739420906, + 64363054, + 283561643, + 275962780, + 494774437, + 789068205, + 405024194, + 483862352, + 574899559, + 401757846, + 173197963, + 761950362, + 586751288, + 797332811, + 420179009, + 214293185, + 166939136, + 88288917, + 246795739, + 502624802, + 823131100, + 691076712, + 468242046, + 943453946, + 800375900, + 408857284, + 833916359, + 190523170, + 938467185, + 331005919, + 207920874, + 409950005, + 646392553, + 981101106, + 943435167, + 481180073, + 686764310, + 767123520, + 692312353, + 774321255, + 921967814, + 809001619, + 161139938, + 441764148, + 582022521, + 101499238, + 769939564, + 533840386, + 531579777, + 323668285, + 736056274, + 840666616, + 657510840, + 848091829, + 460851996, + 977898731, + 559440571, + 672894916, + 320328404, + 729857010, + 428849865, + 39082340, + 460149621, + 838407309, + 701979557, + 316205536, + 335721415, + 727435818, + 163661839, + 483536953, + 965923311, + 482211940, + 924904721, + 770958265, + 646798995, + 616312214, + 479728902, + 846291599, + 643695215, + 569078529, + 183678424, + 956811652, + 357281682, + 158565183, + 389459215, + 506802653, + 694834972, + 569030765, + 962594766, + 197568975, + 696617831, + 684798653, + 897889752, + 159638959, + 269150986, + 384947930, + 941378817, + 32089227, + 143966079, + 609885071, + 310665929, + 203389004, + 880013582, + 743770857, + 274642086, + 698244648, + 777801645, + 213057204, + 971672669, + 316603568, + 108031716, + 706496125, + 822259355, + 656198548, + 78086070, + 551809815, + 94347256, + 571278897, + 790215185, + 47705922, + 71968170, + 639287111, + 385332839, + 647468497, + 879013699, + 474819, + 229566440, + 55433383, + 49635426, + 723430416, + 504241394, + 950623050, + 468188022, + 595692967, + 100689008, + 417117000, + 602637805, + 712672849, + 274830924, + 420749934, + 794427799, + 677488576, + 946444288, + 395791008, + 185020432, + 647004676, + 73064760, + 139983040, + 787498235, + 688419272, + 117376050, + 261963995, + 45373969, + 365604656, + 233414722, + 229962253, + 787056207, + 786475799, + 143330781, + 578170280, + 766694378, + 628584554, + 940570718, + 960758338, + 863999198, + 843329977, + 977362283, + 330390645, + 604002101, + 778730111, + 700354102, + 882215683, + 491049815, + 695211877, + 25273529, + 490965043, + 587189988, + 894285533, + 205535004, + 421019025, + 266038175, + 605854002, + 349813868, + 972233664, + 107248036, + 885875301, + 959306383, + 227029453, + 126261119, + 718053567, + 484030383, + 442840603, + 666959150, + 313955655, + 26705224, + 509065208, + 250175896, + 528714339, + 448519785, + 608417163, + 774888833, + 846182275, + 581564098, + 380486443, + 689777931, + 223153498, + 914836395, + 264017247, + 117781674, + 871096127, + 317419173, + 151071419, + 363560404, + 707465846, + 650602218, + 798964735, + 935485103, + 723848140, + 234586941, + 618372979, + 150356020, + 178471720, + 481654887, + 247048784, + 737967599, + 955165951, + 18426398, + 453713156, + 508573256, + 527643180, + 35902083, + 964802851, + 177358694, + 926352082, + 230659029, + 566442862, + 596223563, + 975248374, + 322395264, + 711042483, + 31877419, + 117055455, + 81068688, + 840898436, + 113340682, + 16942018, + 652701609, + 219888807, + 542743087, + 30097105, + 276088300, + 378988170, + 237630635, + 146276538, + 988310249, + 83514882, + 629817785, + 214085132, + 43354895, + 457226665, + 667591998, + 132693644, + 70064664, + 866199459, + 44502383, + 798469421, + 598574541, + 812210278, + 345691839, + 231217461, + 176064824, + 415685599, + 125360264, + 695401054, + 109392523, + 118624825, + 787709111, + 702504265, + 966030590, + 434722431, + 174003413, + 21423265, + 888668493, + 825099902, + 747308511, + 145109983, + 441290905, + 635269413, + 225709091, + 255811932, + 630763450, + 957003062, + 271614243, + 238057113, + 799838270, + 514105866, + 339502471, + 822050487, + 35718792, + 121798020, + 206005197, + 972279936, + 859865053, + 107969471, + 256927075, + 280127701, + 121255451, + 280256675, + 334189811, + 305041154, + 886286835, + 399829563, + 842272948, + 424051348, + 655836312, + 981162283, + 206349521, + 717556514, + 845106700, + 658131468, + 635666348, + 875715857, + 610472065, + 152940338, + 10769513, + 439985599, + 793552322, + 651106539, + 354535216, + 49423594, + 194181187, + 909819031, + 136924816, + 354824876, + 534431338, + 933938079, + 534886236, + 946137316, + 526200772, + 208675999, + 734073212, + 572187226, + 70071580, + 179946096, + 699313791, + 178447352, + 930796746, + 575050434, + 842149214, + 924900139, + 576435589, + 523898250, + 24386557, + 140794893, + 654282063, + 321944122, + 769650994, + 147540660, + 5697624, + 899154054, + 158321670, + 714222303, + 691720688, + 747091974, + 994904044, + 732136011, + 222129723, + 712793727, + 176482280, + 335966037, + 247071565, + 443339667, + 976089952, + 851321071, + 183452925, + 22259808, + 163371403, + 266303530, + 632365062, + 877258175, + 477839496, + 387700965, + 726388647, + 423064365, + 958702329, + 161883994, + 29690117, + 684258595, + 979291243, + 726287938, + 613282828, + 854452428, + 975503689, + 190855442, + 67687636, + 961216136, + 631337984, + 667140838, + 21575952, + 814611482, + 693771581, + 339989465, + 310008587, + 65439909, + 790424391, + 84458477, + 712782284, + 224104358, + 278389588, + 936843264, + 489593234, + 836398727, + 301304376, + 461312334, + 611636048, + 337159007, + 623030116, + 465615300, + 548885173, + 177563731, + 605279600, + 784132904, + 654544359, + 426207401, + 713432644, + 888382607, + 676834909, + 957891676, + 694119415, + 948702394, + 364534663, + 701826428, + 475185507, + 497188134, + 943449211, + 567925103, + 516510185, + 71682449, + 394336032, + 686011513, + 342011286, + 391274054, + 278094928, + 565612252, + 588356905, + 232538879, + 246074463, + 115803067, + 220596762, + 841581547, + 237490814, + 880073478, + 740278801, + 990336857, + 652211824, + 207942969, + 723614743, + 62693851, + 20327856, + 275464249, + 635469666, + 572776709, + 126546937, + 799866398, + 448696935, + 931213540, + 687824346, + 365929233, + 2053223, + 626886257, + 908960575, + 751307781, + 244075911, + 439316330, + 787851180, + 243741001, + 181877165, + 212687295, + 250383702, + 540528166, + 217813528, + 166153717, + 175349348, + 718000239, + 837914422, + 805251931, + 441416588, + 686816919, + 656447579, + 524584845, + 984955876, + 33671691, + 254188249, + 673365282, + 244703341, + 397145880, + 437814423, + 593206321, + 540310768, + 329893552, + 240026886, + 429401491, + 560755555, + 328945660, + 772674438, + 241598062, + 712186625, + 543770198, + 683523392, + 936172872, + 217388681, + 881256393, + 16830693, + 177459922, + 857307961, + 133514862, + 125024437, + 952179717, + 81901735, + 975807830, + 107901631, + 380931548, + 308714936, + 936549133, + 373769169, + 646779658, + 627474307, + 927773117, + 850430874, + 247160966, + 32778553, + 290958478, + 857813439, + 20636022, + 272995014, + 47241802, + 452131722, + 355217295, + 128274565, + 475428658, + 313523209, + 715590046, + 703623633, + 891588081, + 975003476, + 451195438, + 950365554, + 751444459, + 223829899, + 932568, + 24086733, + 997041092, + 961159186, + 468821683, + 496100171, + 164902682, + 259713050, + 144698734, + 32134691, + 985488502, + 46053888, + 444376259, + 718688528, + 886025773, + 248825898, + 248231911, + 436210444, + 302063961, + 36613674, + 100142069, + 405412960, + 16817911, + 270939313, + 863748780, + 782779308, + 476863017, + 438373876, + 738855865, + 531345742, + 583557995, + 765481398, + 256012346, + 744142518, + 507263450, + 25378357, + 837337127, + 346107352, + 309853101, + 194201382, + 654593740, + 45413601, + 378099023, + 798805894, + 696003855, + 97624017, + 839409593, + 857756040, + 326085586, + 570494453, + 829143178, + 755607350, + 418912574, + 624261943, + 189916293, + 559793239, + 448378029, + 610113729, + 701640032, + 239506906, + 370132670, + 216923871, + 503275052, + 636732594, + 289395910, + 295581947, + 871058864, + 392627315, + 469501598, + 254218363, + 782687545, + 518696883, + 412668276, + 141950152, + 674310632, + 276205980, + 904053237, + 649759320, + 472168606, + 771631392, + 237898635, + 436502365, + 512737339, + 716812848, + 969417993, + 991929312, + 657605570, + 203529344, + 232312059, + 559653774, + 511913864, + 661022141, + 902995986, + 105710572, + 582166281, + 608880596, + 828852217, + 251459919, + 297705125, + 401777684, + 366811408, + 422175629, + 562790119, + 148074678, + 846368494, + 933896857, + 904998396, + 31627529, + 404704403, + 934812370, + 518281257, + 289780699, + 366351383, + 678352784, + 915715604, + 173940703, + 139205886, + 160978464, + 159443480, + 991666438, + 733165363, + 680841872, + 796572076, + 789460669, + 556729601, + 641797695, + 18167140, + 90168910, + 851224977, + 657419727, + 114442594, + 509532254, + 888107870, + 34934140, + 16229164, + 612938374, + 328750374, + 652761236, + 857261256, + 187001174, + 125483294, + 337853717, + 201892771, + 69378062, + 908432279, + 240643537, + 795447968, + 726500815, + 352173812, + 953996079, + 683077433, + 920792886, + 556034830, + 801272578, + 148204342, + 766693250, + 544574657, + 773475996, + 493978814, + 429888870, + 252137705, + 660702463, + 314971045, + 927000093, + 399759496, + 942883349, + 945569157, + 452203324, + 753882962, + 39658626, + 861448215, + 131993800, + 316844327, + 880360969, + 700516282, + 834299971, + 2390045, + 24587586, + 242641000, + 782666967, + 506101596, + 921765653, + 297791704, + 817888245, + 978488676, + 945060583, + 672242654, + 954174968, + 104277823, + 383822861, + 105871305, + 51120674, + 867231035, + 167886727, + 997497451, + 917766482, + 994112378, + 312995438, + 866935977, + 478750872, + 859864384, + 107484218, + 463349007, + 798293718, + 672467112, + 85007489, + 421658114, + 530800955, + 410179511, + 575990490, + 190074907, + 968465168, + 741619989, + 694381130, + 25056808, + 237888809, + 166055166, + 634440465, + 95448884, + 120840486, + 187143398, + 556101897, + 153082477, + 697723485, + 581132005, + 132706122, + 597516453, + 162324831, + 674695841, + 969706466, + 860797918, + 594141913, + 194508071, + 555005941, + 77494402, + 129875785, + 117470207, + 343726690, + 261913344, + 421145425, + 652681408, + 898601179, + 134947368, + 185531862, + 922455891, + 993647208, + 547227817, + 640264941, + 475087705, + 629496561, + 226019815, + 678020333, + 236477962, + 791787409, + 641197247, + 118984411, + 160268209, + 667393706, + 152104060, + 677530025, + 127179496, + 709596345, + 71830148, + 93188926, + 176105288, + 746200981, + 300681468, + 817984475, + 404155263, + 467789638, + 130847810, + 503333987, + 442143760, + 42516390, + 997047347, + 395296136, + 121953134, + 345323133, + 469682553, + 363512043, + 759311644, + 709359054, + 982521659, + 851986742, + 171496031, + 682091849, + 508035342, + 859286783, + 643931777, + 157236269, + 477647717, + 166085004, + 722579272, + 748027468, + 496921621, + 425306271, + 56460017, + 151303918, + 755080160, + 279256672, + 227574876, + 16920993, + 237875084, + 407857424, + 63952313, + 837039229, + 654836389, + 433857032, + 285422046, + 376552965, + 882811803, + 552255329, + 419077537, + 470042296, + 253731241, + 72034593, + 429012430, + 860816187, + 314969002, + 339096458, + 313203811, + 825557332, + 77805563, + 423545773, + 472199798, + 950303581, + 914701389, + 622022737, + 942687380, + 635283630, + 174247379, + 453269500, + 682371585, + 995462949, + 384579795, + 323560956, + 429244367, + 249952353, + 152914488, + 702217307, + 198006366, + 769376045, + 500446061, + 831291705, + 596830753, + 414073223, + 289909077, + 667922324, + 83010679, + 500824587, + 587018739, + 738367386, + 172762335, + 98592425, + 84623223, + 264478025, + 671149297, + 175479375, + 696715034, + 684972882, + 480974093, + 855886456, + 482943954, + 598234149, + 172973180, + 428123645, + 639537402, + 286581942, + 91256900, + 158507754, + 870610752, + 38257658, + 868150238, + 146350056, + 547824412, + 400211160, + 376984086, + 111790599, + 892390107, + 436845036, + 945418013, + 321578301, + 522500443, + 973840201, + 495795310, + 172701803, + 497025329, + 549532880, + 585031586, + 268462585, + 28850932, + 306575834, + 329531346, + 644293431, + 910620621, + 188297542, + 567667286, + 134973418, + 377218507, + 169385488, + 959675015, + 780033530, + 686766625, + 771756327, + 451873460, + 725246748, + 948132693, + 714235952, + 58219198, + 182581539, + 871339263, + 251662230, + 390162300, + 206753362, + 996175136, + 78316066, + 134614369, + 520749387, + 894919602, + 461380291, + 531962253, + 647286150, + 65340310, + 701288768, + 2921841, + 336309996, + 329939561, + 761650007, + 748996323, + 575843864, + 842077096, + 6993788, + 215382838, + 489077595, + 101446301, + 74967471, + 741394266, + 894600557, + 880908037, + 354994785, + 437953348, + 31796653, + 480624591, + 651487197, + 803289400, + 909192009, + 644685447, + 943924986, + 463148244, + 417164605, + 494797876, + 26415924, + 374491051, + 657552247, + 494207716, + 46757841, + 237396748, + 569342668, + 322575053, + 526927666, + 800478006, + 225456051, + 586439460, + 330777277, + 548699151, + 147109473, + 691875374, + 309265165, + 960473003, + 82074737, + 161198297, + 506873213, + 22088830, + 504604167, + 165179104, + 40567993, + 374757030, + 465938377, + 360191472, + 202175185, + 173392799, + 114665724, + 562688824, + 86906781, + 449429624, + 793793612, + 341428026, + 911351165, + 363735090, + 386228142, + 379036790, + 374858679, + 173138815, + 846661075, + 399896092, + 303908836, + 558207450, + 405212689, + 563117315, + 574506735, + 367277729, + 186181511, + 304275957, + 125253927, + 201184901, + 172764816, + 633071616, + 18228695, + 191110523, + 83822766, + 170548392, + 106591641, + 948081276, + 317468612, + 841011521, + 949512935, + 450286781, + 518783474, + 599543883, + 870667826, + 468142316, + 801950169, + 347827379, + 390022414, + 164330383, + 857308635, + 568863533, + 305017649, + 418724381, + 37466849, + 762060078, + 853188133, + 81869546, + 154868006, + 552536051, + 601208878, + 534306146, + 368993056, + 794258316, + 992556723, + 60593559, + 582834420, + 327556705, + 243328030, + 148718277, + 387569811, + 934289187, + 73025211, + 68156096, + 667547910, + 906360413, + 937245665, + 898194774, + 772173656, + 378648639, + 21728081, + 212758620, + 155014187, + 829477567, + 90665635, + 210270110, + 147150037, + 74076575, + 638144688, + 931009703, + 688688730, + 119254181, + 140060885, + 257662338, + 202162732, + 322070921, + 559344556, + 235898513, + 776131614, + 718544612, + 782366569, + 524848084, + 281248351, + 146041453, + 475686813, + 350682414, + 79458615, + 90158529, + 328207548, + 326297532, + 12590192, + 185141375, + 58642356, + 841379988, + 615941862, + 142561788, + 475858309, + 363831118, + 770489347, + 381593028, + 134377733, + 335933734, + 22773633, + 385017363, + 939631378, + 249906010, + 806483139, + 115564447, + 529443122, + 61868479, + 478196910, + 119499794, + 728210282, + 532169554, + 408192404, + 945683569, + 969372995, + 173824942, + 162475143, + 25483873, + 67364572, + 43523643, + 349786713, + 185217021, + 839108952, + 827544284, + 138283401, + 449778489, + 275226028, + 665891234, + 696746612, + 92061760, + 704966768, + 561527910, + 214262485, + 82723536, + 147804570, + 360482843, + 215656052, + 675794614, + 705531899, + 958443571, + 826005136, + 709603941, + 645720308, + 639796062, + 227728059, + 298177492, + 623507842, + 461719658, + 58455899, + 887525459, + 115768428, + 992499276, + 522923444, + 239330253, + 241529911, + 240037491, + 653168169, + 192236885, + 353807552, + 545874745, + 306803682, + 33225978, + 683026170, + 799840669, + 225769538, + 657201408, + 792059566, + 636480042, + 256174319, + 926153066, + 196996619, + 433259347, + 536959537, + 555239707, + 504681861, + 521027554, + 572909195, + 926632720, + 613757564, + 799922825, + 656160426, + 853646302, + 304546885, + 924700588, + 444972969, + 982588341, + 921014669, + 621786721, + 764695967, + 942509676, + 362267422, + 486813154, + 900610444, + 609460336, + 861646296, + 998665057, + 438902376, + 391512054, + 24365420, + 335929992, + 375176394, + 842737796, + 835430423, + 566770338, + 860301698, + 623154136, + 435257796, + 484249021, + 368162132, + 336192472, + 811936726, + 257895890, + 402124446, + 257386914, + 91623178, + 50120098, + 99225201, + 79204999, + 50169195, + 451772892, + 238660591, + 390041067, + 620024254, + 817660275, + 927730343, + 258573729, + 270059533, + 148544460, + 771031637, + 136209646, + 941400895, + 739762794, + 381381441, + 328795222, + 565593734, + 795927437, + 398332956, + 809484676, + 521018756, + 862242500, + 843078520, + 659334479, + 900312741, + 4546535, + 894696467, + 138027774, + 799927174, + 429868598, + 973739591, + 231987266, + 760360819, + 483605855, + 46062837, + 331046640, + 137306217, + 650665303, + 731660714, + 930346731, + 661626285, + 785510359, + 520955060, + 362258551, + 430444, + 708797497, + 254751385, + 985049799, + 765805107, + 562110834, + 598861304, + 234167252, + 374603604, + 271289826, + 337107575, + 533130098, + 390975048, + 542060877, + 607424388, + 320661448, + 449551351, + 104623404, + 630633144, + 863374218, + 927831650, + 46466675, + 851355121, + 69450494, + 507162300, + 354110002, + 662901268, + 331164902, + 741035059, + 85656378, + 387244694, + 128087733, + 417672297, + 622534218, + 531867296, + 419116948, + 680098259, + 426719542, + 762681129, + 33216737, + 769071272, + 757078138, + 370817494, + 360853768, + 73231408, + 466951809, + 103465742, + 187452234, + 373775765, + 899510466, + 741160667, + 302459525, + 489570216, + 194156998, + 413854778, + 470876855, + 9344347, + 311581419, + 425305137, + 647881409, + 863270455, + 492248097, + 106460509, + 926546929, + 804812870, + 732915392, + 450931185, + 785666398, + 532334683, + 65876972, + 979656592, + 919383540, + 831745720, + 77745461, + 60221636, + 690846033, + 579534977, + 902419931, + 630326662, + 594168420, + 356547642, + 554065279, + 138618844, + 496838004, + 740457307, + 935112395, + 753300567, + 481880920, + 523094111, + 137032378, + 747935064, + 464768117, + 740549173, + 705850608, + 996794061, + 612848867, + 728769289, + 882454768, + 945726178, + 338876332, + 840641174, + 299712055, + 538372906, + 123306261, + 107901338, + 561172934, + 763994914, + 427260042, + 832095400, + 881402757, + 706884759, + 277793946, + 208301942, + 540802443, + 138208743, + 229741417, + 884534816, + 997309574, + 915830288, + 345310362, + 481461958, + 151410834, + 725967056, + 228529339, + 696073415, + 771651291, + 760920088, + 898706005, + 760136536, + 248705596, + 747138945, + 148833661, + 181865015, + 861704246, + 888085101, + 250737379, + 496002020, + 732760453, + 832177595, + 821079397, + 346442896, + 923946490, + 407545873, + 347642559, + 508686268, + 762084477, + 452184697, + 523382851, + 130668425, + 960964395, + 165234366, + 477433246, + 558890579, + 951934247, + 264687535, + 794691581, + 747131492, + 744113593, + 808568492, + 603326259, + 522838977, + 579718225, + 150581400, + 259180960, + 804194318, + 508193020, + 775721498, + 490703202, + 998066529, + 151293238, + 953699382, + 140021083, + 584214691, + 234955870, + 759539668, + 937804249, + 480964392, + 402872967, + 14297146, + 317394305, + 376458606, + 358192909, + 665300754, + 203857157, + 2537787, + 505757957, + 464750115, + 869053089, + 924973041, + 465343813, + 283956523, + 856861331, + 873760574, + 96618303, + 397221152, + 189929252, + 497548463, + 989941701, + 848293074, + 339944593, + 944396836, + 312410650, + 187977308, + 67641374, + 56412432, + 578521856, + 78189752, + 769409679, + 792868285, + 342065721, + 859096865, + 618841702, + 635215588, + 365768059, + 984295959, + 79807804, + 171841219, + 928335981, + 502351801, + 55596915, + 9329444, + 264279575, + 543971160, + 918784838, + 912751667, + 302901153, + 994304106, + 371005700, + 185068122, + 469793634, + 812799295, + 693836133, + 511599547, + 7020636, + 522401532, + 87255130, + 143464402, + 743080251, + 803022592, + 435429013, + 752377992, + 536466256, + 573040946, + 348581226, + 534637752, + 903834368, + 632901180, + 209629009, + 226504595, + 683495778, + 137635280, + 667746476, + 102600186, + 257971611, + 729183647, + 606198649, + 730745044, + 290415263, + 999582515, + 906861780, + 630115984, + 830877405, + 719005346, + 382946381, + 345709305, + 636798390, + 477365459, + 792676008, + 606619821, + 561159895, + 536629381, + 524500206, + 12657640, + 148527931, + 292234292, + 480784360, + 532678523, + 540134186, + 671872508, + 555212654, + 465234703, + 31309666, + 529294837, + 966306736, + 544947567, + 114866766, + 36918679, + 434402941, + 826282151, + 506492560, + 742616890, + 66518472, + 902213140, + 398199551, + 619248374, + 407311089, + 532501229, + 911601290, + 951342188, + 946673948, + 3489547, + 569420136, + 292652731, + 334676511, + 607154937, + 82989062, + 785917518, + 522642677, + 868480025, + 606469484, + 15163149, + 603265611, + 921390363, + 142993439, + 31091322, + 352082009, + 198131027, + 497135237, + 924503577, + 887749018, + 260060250, + 474589637, + 582920218, + 135168810, + 307221675, + 750053358, + 252527291, + 57575871, + 358456715, + 459435296, + 199258252, + 423598607, + 776552944, + 596484693, + 4659253, + 759187480, + 346576223, + 951240952, + 288181201, + 999793404, + 846754321, + 577586476, + 281923166, + 523806504, + 993627722, + 261695575, + 76751819, + 488303642, + 918171506, + 57307341, + 926081655, + 819605794, + 395259729, + 283184801, + 847914162, + 679638098, + 625704556, + 794565986, + 136807078, + 797327596, + 244125396, + 825632231, + 535005068, + 148616822, + 364307201, + 787159611, + 120268515, + 237496999, + 724444323, + 471410143, + 201900655, + 186584042, + 209304545, + 32893109, + 744174619, + 86113303, + 172078727, + 838547720, + 173355122, + 132050108, + 864615849, + 622774824, + 920521259, + 434235822, + 576046766, + 447401221, + 311311058, + 27833745, + 3315810, + 338224143, + 74525666, + 30456560, + 35732148, + 138703640, + 464126587, + 358715191, + 327680600, + 101855122, + 72043779, + 776541624, + 815561232, + 246272235, + 747802497, + 182560708, + 218064557, + 657509886, + 67363686, + 225855540, + 542228353, + 809655987, + 345971543, + 161575631, + 384860044, + 960957067, + 859974286, + 443046604, + 127481904, + 292070612, + 742822210, + 579032061, + 148784930, + 495001182, + 981127115, + 192165566, + 313826231, + 926018367, + 926741440, + 411976507, + 32888672, + 264323297, + 688953091, + 703219983, + 910207425, + 404302366, + 173034259, + 392063327, + 634545310, + 402595138, + 883709030, + 609922214, + 805362501, + 600651196, + 480054806, + 829569679, + 356775664, + 315424491, + 658707429, + 128893240, + 774978688, + 408515427, + 533189623, + 861218776, + 914251327, + 951699258, + 83042959, + 377826609, + 512605907, + 971484453, + 310484571, + 386790272, + 827112343, + 184068727, + 387827907, + 939616879, + 955733570, + 689955168, + 904481086, + 758158714, + 167633397, + 639937474, + 232429141, + 81849297, + 999611815, + 153933765, + 473088159, + 262695197, + 391860051, + 713210863, + 362912785, + 922040160, + 308770874, + 554329574, + 643956647, + 470658298, + 531761690, + 541669159, + 464743740, + 742834201, + 937894411, + 165753613, + 361459163, + 929042673, + 851527686, + 378776718, + 586256033, + 368114238, + 358578696, + 790298912, + 704452703, + 570548812, + 936563430, + 898337666, + 773881724, + 332244691, + 491417236, + 368429036, + 44818062, + 506908588, + 483563127, + 900532285, + 935416337, + 243734018, + 865132997, + 271088203, + 42350269, + 489224031, + 147578598, + 292656519, + 284622587, + 928806080, + 148540941, + 366442025, + 349425442, + 795216291, + 55128573, + 101785395, + 998467658, + 381330123, + 849072808, + 337407574, + 117776242, + 864388937, + 14426344, + 401590769, + 763697975, + 286554770, + 529102332, + 564812194, + 525614028, + 781373615, + 709604252, + 466627912, + 568191606, + 948061833, + 894313503, + 261133659, + 266772125, + 142330325, + 150546359, + 733489209, + 290605388, + 981211945, + 952990165, + 537078882, + 692045038, + 782477825, + 7384379, + 300586464, + 20684335, + 564298757, + 611810844, + 902077436, + 535689825, + 787377882, + 987204556, + 132196148, + 385526839, + 392701902, + 631983041, + 268029246, + 943087957, + 548096225, + 233965031, + 852978541, + 750119142, + 248081047, + 423831132, + 203804983, + 561451936, + 622267015, + 927885973, + 306757580, + 619368790, + 994451595, + 663804613, + 545276237, + 563175555, + 116096580, + 972097057, + 923009568, + 376837530, + 300205274, + 749285296, + 98592441, + 785549582, + 31170969, + 853546481, + 668350998, + 455289311, + 11570424, + 743387457, + 707511167, + 348882754, + 172619954, + 372708412, + 972041870, + 712974950, + 346400108, + 273697351, + 753243296, + 537736159, + 913500283, + 726658946, + 531871731, + 505308041, + 545953252, + 782904417, + 891585084, + 433627630, + 692819713, + 811756247, + 594735726, + 593179207, + 174481984, + 439208784, + 473838655, + 931104947, + 819569220, + 364687719, + 307091330, + 152992154, + 778965411, + 70008022, + 858001317, + 701273070, + 800318140, + 686353928, + 455236499, + 960587319, + 837135748, + 23033324, + 448733118, + 988814103, + 368637194, + 929022977, + 983820479, + 468624373, + 529622554, + 54265359, + 693686093, + 586898227, + 525558570, + 752614722, + 739699857, + 900736607, + 316633860, + 734801657, + 408492474, + 921326165, + 153545320, + 100666570, + 798440233, + 65086200, + 337653083, + 289486764, + 359738895, + 152653712, + 150038006, + 659282004, + 748049998, + 796398617, + 633206511, + 368936219, + 390622841, + 953054045, + 324413269, + 856715395, + 587876650, + 463510625, + 498168333, + 724607967, + 105908302, + 983322076, + 183852331, + 240032408, + 362025768, + 69532121, + 312106189, + 6976115, + 343111377, + 191411125, + 692079552, + 168295145, + 60869490, + 580471168, + 146056223, + 806158778, + 552740516, + 804552812, + 295633386, + 697567156, + 386873012, + 587801028, + 180313774, + 973932128, + 679779322, + 109642043, + 220805832, + 324914313, + 591026687, + 359282024, + 502418639, + 514090714, + 143735026, + 278152243, + 760941011, + 737088487, + 465386552, + 939429334, + 734549724, + 593327796, + 469949296, + 916584529, + 669348786, + 181105413, + 860784898, + 177256286, + 790373768, + 165710614, + 160941365, + 448566165, + 232291363, + 97360780, + 200355626, + 960692337, + 333438664, + 351214363, + 55396128, + 859848795, + 241957996, + 132883384, + 157016800, + 902918308, + 160285814, + 39327559, + 472002100, + 871733043, + 678655633, + 447188867, + 307765163, + 380480662, + 645653370, + 272819082, + 48618364, + 540404861, + 390015919, + 929841222, + 90637755, + 874431330, + 549450830, + 792920922, + 236915471, + 988975483, + 70642015, + 870384664, + 441175914, + 143321101, + 886005383, + 143996174, + 336918263, + 463967985, + 440209484, + 83814922, + 753215934, + 381025259, + 443702872, + 328182348, + 365558654, + 106173553, + 190221224, + 838182002, + 873571967, + 300297228, + 969466036, + 985200568, + 192121969, + 373794360, + 440545410, + 622830561, + 963023399, + 519275269, + 515148896, + 549251011, + 835005796, + 858221835, + 208080003, + 634896921, + 527642309, + 430653849, + 937502324, + 543424954, + 288596549, + 849912046, + 763392655, + 426659562, + 583854054, + 213340960, + 339360710, + 441625836, + 438417070, + 608867048, + 736407610, + 707179452, + 585247913, + 33618873, + 954189456, + 581685223, + 578856643, + 499272296, + 277025268, + 291365709, + 297306872, + 137304232, + 517574090, + 556180295, + 334106705, + 156208515, + 887848946, + 22190045, + 799627073, + 840783171, + 259216736, + 464022750, + 754993013, + 802922363, + 437544373, + 471047180, + 783997981, + 383678880, + 994758943, + 432232076, + 568516993, + 569227698, + 56076404, + 577736470, + 616873659, + 62903022, + 534094955, + 838752546, + 18461256, + 530085745, + 488340541, + 467292489, + 705969930, + 995352663, + 170056798, + 290188835, + 237834301, + 888311774, + 968347677, + 319347422, + 318991644, + 643920433, + 441526449, + 179104338, + 589373578, + 245497220, + 161743446, + 720970751, + 828435313, + 696435840, + 10910918, + 90019267, + 874673722, + 164281563, + 926728909, + 37402580, + 330174751, + 699225650, + 411822758, + 16422681, + 604450824, + 406198713, + 985832569, + 856436104, + 321748864, + 593992021, + 103153241, + 593759034, + 316477763, + 899445920, + 797751181, + 261364498, + 359642242, + 853364879, + 386834538, + 881994851, + 859237396, + 465231619, + 777624279, + 637982356, + 21975150, + 350558218, + 360359366, + 103435568, + 941206151, + 718823880, + 556739335, + 52140885, + 641002407, + 141156012, + 211177431, + 490892171, + 890395219, + 479678772, + 496466921, + 723343490, + 5575014, + 151045353, + 813393583, + 938384101, + 741473145, + 946358568, + 693808562, + 558457699, + 691246275, + 962741524, + 459647351, + 156173685, + 462047687, + 149877049, + 815818893, + 977269899, + 187977746, + 943658597, + 214410271, + 332927349, + 918391399, + 680776036, + 290533981, + 821447543, + 169145596, + 708668825, + 151855033, + 90872537, + 880746529, + 251862564, + 970262298, + 435204075, + 855612714, + 384924750, + 475325868, + 979103170, + 415518196, + 368560062, + 334413265, + 147072057, + 199695724, + 796087006, + 546571039, + 871032754, + 282098848, + 281356002, + 57705305, + 492437763, + 572715515, + 531930672, + 385118161, + 271977065, + 227695784, + 491063490, + 891523751, + 711944931, + 548493093, + 242809237, + 463360090, + 25609939, + 596883499, + 122702736, + 679328193, + 541590417, + 897605195, + 784034284, + 566266217, + 838174210, + 987127862, + 186202747, + 611923737, + 10786901, + 235691190, + 578877026, + 157935828, + 186909870, + 265568128, + 514133804, + 576536566, + 844251987, + 739226238, + 93586766, + 195634136, + 672324743, + 441433748, + 178137989, + 670678808, + 310792565, + 531230523, + 797698100, + 685664974, + 836270614, + 80825256, + 935412140, + 30182119, + 290100737, + 399159858, + 250867787, + 60499126, + 60893079, + 895758569, + 759630979, + 209679371, + 147234962, + 192983216, + 336734179, + 641190788, + 218803753, + 836495529, + 697086796, + 69709590, + 466399811, + 463497675, + 962431339, + 855253778, + 205848600, + 650856665, + 300218028, + 620866228, + 252678536, + 566373393, + 664939516, + 657825782, + 328058215, + 756526842, + 880336595, + 836774095, + 981038499, + 50863285, + 335359838, + 213554189, + 882872497, + 960308938, + 255286736, + 976561121, + 349614818, + 982093607, + 994741338, + 903063645, + 49583351, + 350151087, + 713557257, + 68410914, + 313456411, + 656733632, + 619282563, + 832167661, + 92021600, + 336447619, + 727461282, + 76646117, + 334358270, + 337198330, + 140932798, + 166090209, + 173527799, + 883361171, + 119828921, + 66134120, + 322874673, + 986111699, + 344602195, + 215248502, + 449176224, + 276149440, + 602945691, + 64799117, + 98869846, + 604889311, + 854275256, + 601148626, + 726948686, + 906872933, + 928314663, + 800792606, + 704801016, + 568639149, + 383796961, + 848147918, + 507993710, + 376159438, + 289966358, + 923881701, + 937874538, + 166751778, + 205267078, + 79771387, + 982258111, + 952875031, + 962761435, + 141593639, + 414479701, + 532283024, + 283975085, + 340645540, + 491056088, + 474908665, + 639518125, + 158501447, + 419635491, + 383098723, + 631784845, + 501504284, + 887212575, + 964774395, + 615209831, + 999233560, + 763767416, + 149082431, + 70763103, + 115030657, + 599982493, + 569779811, + 7028724, + 132266735, + 507000700, + 753487373, + 453129007, + 619311309, + 400104940, + 934477582, + 756852663, + 938693160, + 297603918, + 41428249, + 769432013, + 770919433, + 880220045, + 108832111, + 856654405, + 822460990, + 444099539, + 765985351, + 541704445, + 659139227, + 419539079, + 436609583, + 562231037, + 70987482, + 615827124, + 782387992, + 833864145, + 788118175, + 616848003, + 583841824, + 872602066, + 597290616, + 28532339, + 233888812, + 718386275, + 488293222, + 405414770, + 107461697, + 616691384, + 697164613, + 724920976, + 326601578, + 510583891, + 864587038, + 738795575, + 669715256, + 671697049, + 454114342, + 646115064, + 36753808, + 764075544, + 469908780, + 748347267, + 999261756, + 486078165, + 610465882, + 595880113, + 79448527, + 600423849, + 892405858, + 197007609, + 847516391, + 270291663, + 921157202, + 619844161, + 487595440, + 136042957, + 205648567, + 683546128, + 315910276, + 431249888, + 959070058, + 843829366, + 697738403, + 326573055, + 708112024, + 882162891, + 552732300, + 969477687, + 919669977, + 577936631, + 585966407, + 926460156, + 857508081, + 676403431, + 197202501, + 652013807, + 478614987, + 559497731, + 341651193, + 195191395, + 488594979, + 703211053, + 165341756, + 906142481, + 292084696, + 615463509, + 618228990, + 552519620, + 531491759, + 306831921, + 722567092, + 645303904, + 277478012, + 450682211, + 898367516, + 72058684, + 500334307, + 575384738, + 456178382, + 327594383, + 743592973, + 996449644, + 345007412, + 691174351, + 30600114, + 875427987, + 744228945, + 521419564, + 407530028, + 677625356, + 907585339, + 31013652, + 253778672, + 109597141, + 664090339, + 375949512, + 10159257, + 368304795, + 554114605, + 977977756, + 674023777, + 482917202, + 861621751, + 481902756, + 664785386, + 486167657, + 405414970, + 736476425, + 61015990, + 831984389, + 312371054, + 816674110, + 222733564, + 180566652, + 698158443, + 378484619, + 150013547, + 79625341, + 802732791, + 726720272, + 930730374, + 248129713, + 381072985, + 970652006, + 904111638, + 301635787, + 205800724, + 251925163, + 727932004, + 742200255, + 662708133, + 87259305, + 249874101, + 742783418, + 548777916, + 747537650, + 537207025, + 115391342, + 186168306, + 129834595, + 731541131, + 172817269, + 210897938, + 580929538, + 934148815, + 326873979, + 45880246, + 761634460, + 759070510, + 825136576, + 483869540, + 445648461, + 783171460, + 562381775, + 736635581, + 291095356, + 295968974, + 590652222, + 505338102, + 580525909, + 323121504, + 72910151, + 601420103, + 396221761, + 427838409, + 944072551, + 981077005, + 208850058, + 686320627, + 423714246, + 517565118, + 434472814, + 146025103, + 838733092, + 550486522, + 322576509, + 274060018, + 149362446, + 532441107, + 188193049, + 998600213, + 212979904, + 426070412, + 183759625, + 734085114, + 404667675, + 923539566, + 78341383, + 969985267, + 807506811, + 615361360, + 495263785, + 417886699, + 735514374, + 13987456, + 415670857, + 473473267, + 339930237, + 89585419, + 723520532, + 214647618, + 515495219, + 844398327, + 697466621, + 834659741, + 515485745, + 793474819, + 841165598, + 783121405, + 130059915, + 789137472, + 186094640, + 596738261, + 993561331, + 512883807, + 263554114, + 519848933, + 434153692, + 622008899, + 419673224, + 454732060, + 159708754, + 38348117, + 479781176, + 499284625, + 888067780, + 267146435, + 62513036, + 946109138, + 249807078, + 217107116, + 814297851, + 761139524, + 378497293, + 457348187, + 727861603, + 996832215, + 259340172, + 488438111, + 210586378, + 319484377, + 690443462, + 633822308, + 631356551, + 852325627, + 871113399, + 904650441, + 971975591, + 207926141, + 270245251, + 172925401, + 15181777, + 336652880, + 885461121, + 159228947, + 620035981, + 936932688, + 858191529, + 9896751, + 168845605, + 562801584, + 433657591, + 182839930, + 400130920, + 152215166, + 426582897, + 930016739, + 563228661, + 741447608, + 554463746, + 25332863, + 667822072, + 514548901, + 58359018, + 494800919, + 222998686, + 989461484, + 105724262, + 543499597, + 476116921, + 598024180, + 481182858, + 631882311, + 222757132, + 300831519, + 345052233, + 641633137, + 674552773, + 421498643, + 189433942, + 136466827, + 744705535, + 118438744, + 489246312, + 233656048, + 756236867, + 74779155, + 235176059, + 906589291, + 566506135, + 412521115, + 600625956, + 154083061, + 981735981, + 136129602, + 98387211, + 375591548, + 635958061, + 274790559, + 448518396, + 313518094, + 857800717, + 605993596, + 15447884, + 272621006, + 124187483, + 325430772, + 92826058, + 837586159, + 998305175, + 516668595, + 64582348, + 998701830, + 960989428, + 636109612, + 785883533, + 567133035, + 742129337, + 566659012, + 216529779, + 455491595, + 171061503, + 444807542, + 806779366, + 162446093, + 145109581, + 168713434, + 100662475, + 969680682, + 144646927, + 275668537, + 452993593, + 742372181, + 985466796, + 316852186, + 492182759, + 148014244, + 711391363, + 454636125, + 47596124, + 867461713, + 864229826, + 314324858, + 706106121, + 753266844, + 376808277, + 283730412, + 837763349, + 394938644, + 363313185, + 537395046, + 459463961, + 204779357, + 726861414, + 380612253, + 384029618, + 589294402, + 399547522, + 467411206, + 892236031, + 171050155, + 590028002, + 103387382, + 629690080, + 805395014, + 422947072, + 705076762, + 92644958, + 603177096, + 141213642, + 329794242, + 176914774, + 931278524, + 822499819, + 873193415, + 443863583, + 479609661, + 693357233, + 38098964, + 364877528, + 871551457, + 726126803, + 238463909, + 727643975, + 426556602, + 288959041, + 941449184, + 518093740, + 238104667, + 189383576, + 786947827, + 132075658, + 121196326, + 767801986, + 683337924, + 855395332, + 361083683, + 529157569, + 685403735, + 39561231, + 389329136, + 15712411, + 454444807, + 420958612, + 496216943, + 599522405, + 90466094, + 777721992, + 38424129, + 923838186, + 580691169, + 425491997, + 918152906, + 272600622, + 116892578, + 278311114, + 710220426, + 823861300, + 880849959, + 763300524, + 628321595, + 560531612, + 302300511, + 378213951, + 833084264, + 325870331, + 850451252, + 359430513, + 323689001, + 190706320, + 622852217, + 50554328, + 595669296, + 934847430, + 891683275, + 5900879, + 841015915, + 54593795, + 559767624, + 831819467, + 223165046, + 576789703, + 513262642, + 946427613, + 863526652, + 295707833, + 183908360, + 480848400, + 686383806, + 946172830, + 215327513, + 881662550, + 264037886, + 918639149, + 851649193, + 175515540, + 752702286, + 262372706, + 558189581, + 963081953, + 234577763, + 300380744, + 644267786, + 979814849, + 823266768, + 795530277, + 6728557, + 923226163, + 383664867, + 15601581, + 348718733, + 184797403, + 785997609, + 413272067, + 242602900, + 106837045, + 898947432, + 473678133, + 723977431, + 769952878, + 386656480, + 59588996, + 262342840, + 482463914, + 368070846, + 28936275, + 637469017, + 760199095, + 160193144, + 990598129, + 327732191, + 96712132, + 545573759, + 105628870, + 748870511, + 886456091, + 495694939, + 4748788, + 917731239, + 696703153, + 760778742, + 464864061, + 562250007, + 180601434, + 690306033, + 264292000, + 755162565, + 751910290, + 152330738, + 471406964, + 520051007, + 431262608, + 869287489, + 558604664, + 44601752, + 755977033, + 482927789, + 58617493, + 974870791, + 36478812, + 922213904, + 213032063, + 444965951, + 390117392, + 215799152, + 85756782, + 134140803, + 430771310, + 163781821, + 64209941, + 551403399, + 569625558, + 267617159, + 672455767, + 591604607, + 621182131, + 101723902, + 922702678, + 452821175, + 512946800, + 424192428, + 555152494, + 791037774, + 516330924, + 215523184, + 591206380, + 146045520, + 576381483, + 79145897, + 64968289, + 564056672, + 101100546, + 950261941, + 329297182, + 284682611, + 923524085, + 881334633, + 133099915, + 632662202, + 161030795, + 816095861, + 98825160, + 989055459, + 120933761, + 236651295, + 930696083, + 167574638, + 813641653, + 221158219, + 697040754, + 438958669, + 497364058, + 478148310, + 200089678, + 736866228, + 148512300, + 603478327, + 984587667, + 390792129, + 74576650, + 850380598, + 163904710, + 549573146, + 324397856, + 558850560, + 926022818, + 869008462, + 546158153, + 149498924, + 257923602, + 823736354, + 589634072, + 995104244, + 777948221, + 782864030, + 629522915, + 809714646, + 628847804, + 638048889, + 127714928, + 612254149, + 99388306, + 132571236, + 645208670, + 283193544, + 387930477, + 803140439, + 606071833, + 343060020, + 678920279, + 461089344, + 647114388, + 192280669, + 551612045, + 884022047, + 557227009, + 193917434, + 481696344, + 669505102, + 187957502, + 74533246, + 668247094, + 169166721, + 372462179, + 50940488, + 286735152, + 459731413, + 611772880, + 368788054, + 615545022, + 859900048, + 135848442, + 978937468, + 519230046, + 270532011, + 413252664, + 474954309, + 794047031, + 993459706, + 348735789, + 978203251, + 716179165, + 362553195, + 719153047, + 691036575, + 698579889, + 178832738, + 241695475, + 552314679, + 436133743, + 246780809, + 406058224, + 508731644, + 917321466, + 569280302, + 758529609, + 199454167, + 556234331, + 694362381, + 866075091, + 379865168, + 625016407, + 715557594, + 129290654, + 611128004, + 783085567, + 426554812, + 487340154, + 850380197, + 253532739, + 956266111, + 792760196, + 606137546, + 246424790, + 638389017, + 848248437, + 8397469, + 381740671, + 728614230, + 522688754, + 880937028, + 226148759, + 593137689, + 143368296, + 77777770, + 412056677, + 993183684, + 841839466, + 11825131, + 767282522, + 123825091, + 21385936, + 130853826, + 36722913, + 488187862, + 248739575, + 241729409, + 808621378, + 246975624, + 873342769, + 932893490, + 462345502, + 746048129, + 356562398, + 619963851, + 936759093, + 111829358, + 508029294, + 818482096, + 81367826, + 928378690, + 125670481, + 240336674, + 173976984, + 745296673, + 674005265, + 648492491, + 99092211, + 972465182, + 262823109, + 791560895, + 443284003, + 681384203, + 629435423, + 754546657, + 178072640, + 119290796, + 848166360, + 651378992, + 283931406, + 403783173, + 27507743, + 260067152, + 496618815, + 995913203, + 166073410, + 179225065, + 503298655, + 756498528, + 682901327, + 531106497, + 4349416, + 71627, + 198113784, + 888248101, + 758252159, + 770277083, + 906755704, + 537938951, + 820809038, + 263676145, + 184932210, + 274840034, + 65286031, + 18115013, + 62286842, + 663137301, + 738105553, + 473176266, + 360693455, + 724663637, + 882070169, + 306597286, + 401044896, + 590269045, + 636720374, + 39882710, + 104772641, + 640752367, + 154880716, + 470113561, + 277481007, + 5426612, + 259552287, + 494570368, + 310680251, + 109282774, + 539641229, + 996466203, + 518432046, + 912919211, + 172359426, + 895487216, + 317870657, + 454789381, + 493968236, + 308090551, + 864863101, + 503411014, + 414727903, + 72211299, + 299502677, + 635970360, + 725363961, + 364733104, + 190695709, + 859905896, + 318511715, + 194680847, + 661377515, + 311974022, + 104211013, + 557970519, + 138960626, + 435243662, + 235582851, + 825232971, + 341490126, + 556907031, + 358519387, + 416160145, + 307606193, + 343868939, + 548120998, + 791719098, + 884943199, + 364238645, + 13832787, + 510493340, + 152015874, + 26184973, + 651361671, + 572844238, + 925369899, + 97719759, + 481792726, + 954350343, + 962070184, + 178587268, + 639221883, + 478377747, + 879313196, + 220147119, + 818647862, + 65855531, + 27395569, + 94059410, + 657771435, + 721348465, + 426956289, + 611820548, + 334048530, + 28844581, + 819673670, + 311728486, + 601763717, + 962067779, + 458920797, + 303993498, + 659045004, + 888093834, + 870079863, + 278698184, + 809650429, + 671738318, + 927727926, + 947026591, + 879568572, + 74943796, + 653013322, + 376410158, + 983385571, + 118895072, + 432432614, + 705446142, + 520591570, + 684212485, + 244691742, + 909748538, + 391665544, + 277161396, + 519694827, + 874304712, + 284620170, + 106508836, + 839949459, + 266579021, + 489014321, + 621127008, + 475660424, + 776677565, + 386575564, + 12471060, + 52907084, + 81922209, + 474827042, + 687394029, + 984774765, + 416911248, + 85736670, + 66276353, + 40855538, + 112756094, + 439084133, + 207718326, + 231323355, + 519329985, + 176742867, + 889461107, + 453350857, + 451768693, + 365977305, + 446659228, + 209053182, + 772966030, + 344608783, + 330476236, + 548446049, + 151251983, + 531447902, + 972616941, + 979858963, + 522680144, + 229873574, + 937044459, + 229209471, + 55833958, + 39294961, + 802972223, + 34842370, + 983639228, + 62061138, + 10920891, + 128578483, + 861056237, + 435623049, + 301952095, + 345144589, + 110286233, + 867601119, + 848126981, + 531963348, + 859915530, + 708489800, + 2441070, + 229553688, + 266838501, + 772899334, + 192225112, + 418778542, + 460405584, + 662995858, + 996213351, + 78697609, + 613601039, + 42084236, + 143602569, + 217732188, + 43160513, + 204208269, + 12636466, + 415757425, + 590669165, + 361067484, + 393888218, + 301101895, + 937162978, + 16461768, + 302336242, + 745709970, + 404853179, + 818923795, + 584264649, + 649739293, + 508745541, + 938152798, + 237585195, + 28273127, + 218855308, + 844763688, + 785982935, + 18686035, + 820386293, + 295715742, + 582690865, + 580984072, + 417304743, + 299274074, + 735146395, + 777782413, + 587503135, + 198392061, + 341389903, + 712966755, + 945329046, + 520832312, + 597771037, + 26306322, + 178264160, + 598366709, + 255835914, + 213547238, + 219767683, + 933552009, + 254820196, + 409059083, + 902557616, + 439046740, + 110181803, + 956151002, + 789941512, + 996246792, + 881151919, + 799854181, + 261701124, + 415194373, + 542764107, + 967240518, + 975764593, + 693436116, + 958514302, + 875347546, + 798275782, + 884164883, + 816435919, + 296562533, + 155739327, + 402326631, + 475028781, + 914661061, + 699502211, + 979938348, + 46868776, + 643063066, + 384900640, + 756238626, + 974862119, + 596263850, + 720561048, + 11035104, + 491445872, + 30734351, + 212009557, + 561180503, + 293908160, + 29416856, + 105758322, + 254249772, + 613763906, + 69989888, + 636269888, + 565018547, + 752917217, + 146437249, + 183394111, + 301289214, + 798808054, + 753484822, + 925972670, + 806694211, + 199202177, + 721358645, + 947528209, + 299986634, + 954227347, + 302691509, + 829745364, + 741124913, + 626848764, + 590124058, + 212388416, + 938031742, + 611602961, + 346599556, + 548521920, + 551123534, + 925159104, + 504023207, + 660152010, + 461557675, + 598616118, + 655403474, + 743966843, + 416660637, + 354901831, + 162927565, + 776203206, + 946998337, + 597405961, + 295964973, + 489155022, + 562020940, + 163545046, + 754122435, + 290367499, + 53604900, + 628731526, + 143504592, + 358851520, + 15746286, + 614508528, + 386404296, + 595239818, + 977280737, + 435510824, + 469573614, + 79829570, + 177443076, + 621907450, + 723463949, + 515948562, + 476660676, + 179811557, + 750579534, + 226358663, + 466007645, + 372812925, + 192865819, + 5807040, + 95455526, + 625624472, + 243832458, + 988717529, + 655605310, + 393256781, + 673096728, + 559971261, + 970409101, + 603950155, + 5974697, + 402696520, + 473759155, + 159808581, + 306576946, + 677133095, + 763955014, + 566314526, + 130284264, + 198394173, + 285039505, + 187483337, + 786891082, + 392860422, + 57366596, + 689699097, + 144614152, + 756499980, + 774302436, + 474553625, + 839568136, + 739738571, + 74827121, + 366207886, + 265727401, + 861696091, + 543319501, + 599984846, + 74771381, + 685591075, + 492515611, + 605146162, + 873203266, + 585117544, + 622195462, + 93565395, + 675293716, + 99019461, + 94664567, + 71245039, + 880491949, + 506790439, + 848189657, + 800732093, + 537574860, + 430527507, + 611733415, + 775380702, + 484537194, + 859045635, + 446164870, + 895083733, + 316504, + 243946510, + 352467441, + 269602604, + 270126434, + 657941733, + 505293180, + 559029330, + 96774500, + 960028541, + 122800974, + 450584684, + 957828640, + 954287447, + 767856198, + 762967599, + 984514851, + 396309809, + 398991896, + 860594398, + 169016830, + 912930566, + 450212146, + 41342043, + 610141521, + 710909485, + 89426554, + 174206921, + 175225989, + 463775426, + 958645219, + 693747847, + 873791316, + 900502087, + 980548929, + 370346229, + 360965230, + 767379015, + 882241157, + 562921239, + 567350935, + 926710531, + 592260879, + 20354337, + 463153485, + 235184886, + 461878929, + 86271418, + 700782808, + 584817519, + 386973833, + 541392885, + 466114376, + 111225663, + 823701522, + 251028787, + 337480052, + 962719053, + 259807363, + 487213258, + 638359663, + 62214485, + 376839032, + 91432388, + 487382422, + 806765258, + 613903715, + 451754967, + 858070970, + 924397083, + 494544281, + 559345079, + 382639216, + 826813935, + 333028226, + 209178829, + 437433326, + 760617107, + 443580962, + 356128129, + 774249164, + 356854234, + 196350001, + 254905565, + 478320404, + 30227139, + 655781299, + 554802027, + 650637776, + 350135639, + 752627688, + 655066974, + 60510811, + 441992651, + 948946612, + 873790570, + 331316654, + 680900577, + 987994584, + 460854972, + 577606058, + 947135165, + 609591, + 578921917, + 246863656, + 61318949, + 188234796, + 788938167, + 213402915, + 736452916, + 114026145, + 239602063, + 793328841, + 150637232, + 379049599, + 823928229, + 282144310, + 397815948, + 447261548, + 294125464, + 309570413, + 901649723, + 83253591, + 215227861, + 951199698, + 94218052, + 320620574, + 193327276, + 719466608, + 567096384, + 483406887, + 942435672, + 77244863, + 153198825, + 450904010, + 675854873, + 841627525, + 596715915, + 966741776, + 260746125, + 378190364, + 688016088, + 304103903, + 783017435, + 994627214, + 92713210, + 495724484, + 639699352, + 321108002, + 390544005, + 385536555, + 977966908, + 780378191, + 972238118, + 4095571, + 538552544, + 49204349, + 413014129, + 581052293, + 510632640, + 922349005, + 695830688, + 823448412, + 422753559, + 880333501, + 864818788, + 721147922, + 627976437, + 408940982, + 830754688, + 754292329, + 836862233, + 752073723, + 102666113, + 930925087, + 203218849, + 758433486, + 8701030, + 686106338, + 825121176, + 7664782, + 727514817, + 998862164, + 61372229, + 386231474, + 314450697, + 772522139, + 285427078, + 239734918, + 863711529, + 743678890, + 151100309, + 483521005, + 449497567, + 106359832, + 771877885, + 49269974, + 942197677, + 839356444, + 234933732, + 755188184, + 975044361, + 467430581, + 681038511, + 681037302, + 599564793, + 603890192, + 29855375, + 90750930, + 298186726, + 92900204, + 52587263, + 871692306, + 690955412, + 674305383, + 143395477, + 424576464, + 143249329, + 814213576, + 498318747, + 76328771, + 468836849, + 794905920, + 127086620, + 282231379, + 399109042, + 368160600, + 651461963, + 68455784, + 809263947, + 353997121, + 417239842, + 82295251, + 560499835, + 365113717, + 158367206, + 791103997, + 799848786, + 869954935, + 602222450, + 776616157, + 202330794, + 752277459, + 882714991, + 643546835, + 11639367, + 990664578, + 535467506, + 57193402, + 702033444, + 642974707, + 246383293, + 961495061, + 800631368, + 92480703, + 803458153, + 239839021, + 522969784, + 314952741, + 289030202, + 290119208, + 904243737, + 555694826, + 392744401, + 106284532, + 171045252, + 133459289, + 436192016, + 714115847, + 485971316, + 884809578, + 510404328, + 758730396, + 784383865, + 696707844, + 284166840, + 395893456, + 623675905, + 434581762, + 826639492, + 650134360, + 934163734, + 29258652, + 808433574, + 218588638, + 932393362, + 480465354, + 584101426, + 807961121, + 557668490, + 902686723, + 666130522, + 62155534, + 860152918, + 52499331, + 995087542, + 671422796, + 546244924, + 843382516, + 387427894, + 364509399, + 659989588, + 317534014, + 323898171, + 613840248, + 72829887, + 436547116, + 708098493, + 672996953, + 524074516, + 988218951, + 148865785, + 244294192, + 313144469, + 73000171, + 216305689, + 57003781, + 608714936, + 624067570, + 36140707, + 434195915, + 210618902, + 937661998, + 350591954, + 948053658, + 250312268, + 545974075, + 326607569, + 466835596, + 427090797, + 340943208, + 835957807, + 593545395, + 211138636, + 514923598, + 952388555, + 735593807, + 195907149, + 629507492, + 820987640, + 1582058, + 52471562, + 733567938, + 961417675, + 38868615, + 847211057, + 365810754, + 48375151, + 696008220, + 684169958, + 567360023, + 158792851, + 755404677, + 475509157, + 174425376, + 359466365, + 311396831, + 949596887, + 631297849, + 205518660, + 497606656, + 961209049, + 168228295, + 690482308, + 773036610, + 714138454, + 719870998, + 516154261, + 697835006, + 960394770, + 558336361, + 964146047, + 955086055, + 186765891, + 412932610, + 642110134, + 952573300, + 133975310, + 1775075, + 10768028, + 782676097, + 562855633, + 541496398, + 506295038, + 767943613, + 985078136, + 438105488, + 2804, + 598117700, + 530471683, + 591537231, + 895532438, + 813402013, + 506628931, + 847101488, + 321093330, + 466902988, + 891309375, + 349999660, + 411350052, + 51704615, + 876947213, + 501674726, + 122509609, + 104266868, + 723367728, + 529409305, + 901192356, + 992655915, + 170789234, + 247304345, + 55139395, + 162733694, + 665014441, + 34380165, + 719129559, + 629199314, + 946920712, + 855759682, + 516493444, + 230507954, + 9009287, + 532725406, + 348844323, + 397634277, + 843157752, + 183974678, + 860372662, + 153691164, + 862376838, + 355827073, + 653905104, + 186569608, + 97602389, + 108984864, + 889080249, + 834427072, + 309036947, + 598100311, + 592828160, + 39247249, + 293924931, + 149781410, + 420445549, + 310517702, + 797035238, + 639849007, + 915035996, + 671820335, + 640159454, + 40965612, + 661841800, + 609887380, + 38233293, + 402995892, + 678123340, + 618031959, + 718523862, + 375072132, + 236750786, + 648103054, + 346585879, + 547627910, + 169508167, + 693365699, + 317985533, + 518208195, + 727314128, + 185998084, + 631034371, + 804322823, + 922460495, + 535537621, + 446288913, + 77880923, + 366168970, + 606027147, + 884253458, + 99370767, + 255587618, + 818618415, + 126110268, + 72596769, + 383440002, + 949743369, + 487531504, + 82781950, + 970575212, + 537053226, + 497239178, + 422183052, + 824211392, + 188398300, + 958635255, + 989264493, + 33154684, + 204140200, + 257141813, + 206917714, + 543099652, + 675058301, + 32551936, + 64136525, + 793995633, + 324893473, + 246627787, + 101433571, + 728715593, + 121558696, + 76840164, + 981056315, + 747471258, + 266165239, + 772625047, + 12762936, + 838550535, + 176252514, + 500527728, + 11418605, + 308125351, + 741227982, + 285757853, + 482902335, + 330710541, + 657367896, + 120884354, + 295067812, + 360982527, + 742005052, + 727582900, + 444914741, + 894096659, + 245620487, + 970613030, + 208133301, + 132112272, + 696385307, + 538889824, + 270307626, + 707518653, + 964486771, + 982975035, + 605636698, + 888326219, + 183744049, + 933413809, + 145278820, + 1832642, + 705753625, + 933581143, + 478576264, + 774443999, + 514540695, + 953116014, + 304035977, + 748995052, + 412794168, + 182068198, + 294920457, + 812621809, + 256750205, + 164168674, + 234467380, + 163578309, + 297633839, + 705268496, + 735471743, + 869047982, + 395791929, + 53568474, + 972019821, + 632084202, + 86876175, + 287973391, + 698246309, + 48884265, + 201392833, + 91272799, + 137582095, + 353653373, + 144664142, + 248954776, + 152451402, + 286780857, + 83892611, + 655333943, + 178380858, + 379492650, + 864812345, + 156091190, + 638029186, + 893002497, + 409065800, + 535447962, + 232378785, + 464396408, + 972995477, + 925534142, + 436833402, + 261063874, + 931180609, + 693107185, + 694927906, + 217891515, + 795709713, + 952040278, + 198779851, + 560392441, + 32434852, + 278964395, + 515285298, + 843307113, + 681915761, + 399359186, + 358527257, + 870552927, + 244317638, + 939208086, + 681480213, + 58891111, + 658021191, + 280425191, + 905363879, + 359931996, + 240205942, + 415904505, + 523271123, + 94109247, + 499057590, + 424792993, + 81868495, + 275908744, + 550143816, + 330317449, + 549680921, + 314789961, + 804512875, + 547586493, + 669386972, + 300948906, + 292406856, + 241275312, + 34720202, + 579255691, + 74568182, + 125160383, + 321657731, + 235487421, + 944335540, + 254377982, + 317643334, + 861533235, + 548408404, + 890411756, + 493459895, + 174624188, + 555620205, + 465232771, + 186995834, + 375163330, + 819435900, + 361583488, + 28989695, + 34076824, + 126034998, + 983917709, + 199571029, + 562726464, + 381407588, + 164091963, + 855167276, + 104019578, + 789682254, + 25262751, + 167818698, + 693913780, + 403197612, + 230053062, + 156917626, + 866639943, + 975702876, + 430253239, + 682789934, + 528425139, + 116445910, + 160966775, + 728223187, + 472743014, + 245425938, + 92889533, + 698938693, + 80649629, + 746314086, + 49694076, + 165147163, + 275466494, + 379522454, + 887553720, + 269180179, + 317184320, + 616078934, + 973736013, + 244355743, + 344418653, + 443089805, + 975754013, + 272679627, + 503968084, + 971888262, + 550226257, + 35935079, + 167420269, + 37570865, + 360980268, + 322891981, + 516002356, + 821108729, + 986774210, + 182902791, + 904199778, + 180022194, + 131246044, + 200870264, + 531483171, + 812199729, + 772559622, + 771143732, + 276653620, + 315174114, + 693701322, + 140747947, + 438931854, + 450019356, + 860844249, + 345816688, + 519625853, + 436161043, + 954143744, + 524921785, + 724057043, + 568525832, + 46334975, + 492955999, + 329856753, + 587145043, + 955062619, + 377219235, + 149818119, + 289824719, + 132399363, + 198916424, + 462652011, + 509884693, + 969439294, + 856486815, + 118479816, + 753271941, + 456530411, + 449830128, + 801224331, + 456375980, + 406335558, + 159419557, + 561013657, + 167115554, + 398990117, + 244222, + 86923001, + 744763514, + 145522114, + 289889212, + 106610662, + 380351210, + 631777516, + 91226396, + 129333901, + 655178046, + 252844605, + 541101109 + ], + "output": 39818 + }, + { + "input": [ + 748485140, + 818457444, + 506065671, + 457502910, + 80372915, + 643314518, + 575934438, + 977493309, + 303861502, + 451292516, + 562893213, + 16654857, + 164224969, + 879121749, + 598354394, + 701732173, + 855419816, + 850202985, + 284556313, + 786617533, + 174731254, + 284227629, + 730932068, + 546999279, + 263147370, + 592212889, + 844828648, + 140569546, + 654375423, + 290560037, + 443563630, + 556480490, + 248418885, + 427128412, + 128528319, + 262290964, + 560252607, + 205632148, + 687252519, + 201341706, + 542114760, + 751315222, + 28054952, + 146060555, + 286324553, + 723395795, + 699205139, + 180609404, + 92395765, + 573013363, + 142337050, + 933004554, + 663088753, + 924545618, + 755655796, + 256864418, + 960884095, + 289990794, + 397781173, + 489499719, + 497985443, + 730080985, + 684649399, + 330016731, + 161441770, + 354948023, + 781487770, + 720656125, + 197428971, + 917922707, + 789355336, + 389182177, + 762560462, + 247402397, + 651424144, + 770212175, + 842449487, + 727531591, + 237869863, + 128497350, + 666827756, + 839086166, + 397376566, + 651932279, + 804371459, + 270030139, + 833803204, + 25908662, + 642012770, + 851688874, + 165974817, + 784039105, + 890083015, + 256982738, + 886128275, + 795837824, + 187760541, + 129855962, + 91277951, + 853077955, + 590688246, + 848102515, + 152750841, + 184457533, + 648973262, + 841734895, + 964190308, + 70362282, + 79703103, + 493825689, + 349646103, + 211451060, + 268377359, + 837673454, + 342044293, + 265176922, + 834512107, + 518893195, + 804270417, + 333365103, + 193576017, + 759059662, + 19268886, + 74023257, + 196874840, + 174457978, + 514350726, + 817238427, + 20126176, + 265050606, + 661973434, + 548579457, + 834944212, + 606004756, + 353779028, + 88387346, + 925072092, + 765879579, + 537170780, + 327187423, + 230021199, + 441746236, + 723031939, + 187730389, + 39545903, + 871045935, + 957851449, + 839848047, + 757035608, + 574359194, + 876186364, + 268495605, + 191211461, + 32495289, + 855754793, + 528305120, + 794377215, + 637750799, + 369230176, + 56038536, + 314861731, + 165635742, + 337338682, + 884353685, + 153900907, + 359675668, + 309822853, + 847625751, + 154542801, + 614677625, + 604354591, + 873534143, + 485555082, + 632628782, + 520496101, + 337219759, + 959490696, + 221350910, + 571855248, + 209423887, + 944995065, + 140319420, + 729049916, + 76623696, + 295987652, + 554821245, + 489737977, + 366881335, + 700360668, + 730101700, + 711530731, + 131392855, + 157351040, + 873990335, + 682339223, + 645336330, + 237732964, + 510195169, + 565306639, + 933645929, + 789180248, + 967125671, + 191162213, + 484789721, + 124612606, + 813932065, + 95871726, + 808880817, + 766277347, + 37518466, + 130461075, + 129676869, + 984370812, + 850862559, + 788718100, + 734665378, + 427922548, + 199620735, + 789264713, + 852751376, + 300958415, + 498227492, + 308360560, + 281244809, + 458753439, + 143138232, + 621076864, + 619828741, + 926524721, + 481741485, + 139704752, + 601799065, + 290015865, + 300032004, + 273244397, + 966656352, + 794886180, + 429986394, + 950572328, + 213800006, + 57897882, + 680570699, + 141523367, + 535867642, + 972056488, + 31738710, + 58465003, + 903077976, + 414092516, + 816593501, + 546738417, + 886829547, + 245219729, + 655614316, + 521360774, + 18844803, + 761536269, + 373783572, + 216014949, + 124610564, + 339267818, + 878683618, + 843926900, + 765554304, + 959196167, + 425257971, + 102124907, + 118061052, + 208312151, + 442183411, + 693410321, + 789954619, + 286181441, + 513284181, + 952560656, + 606559166, + 149155130, + 808094720, + 787096110, + 17020039, + 531598700, + 451274187, + 223888101, + 841504491, + 819611390, + 988076016, + 268266187, + 935083015, + 351017155, + 266521776, + 322550169, + 995246669, + 369790663, + 852602567, + 585142557, + 589249516, + 443183573, + 564213629, + 99476363, + 804329589, + 431350062, + 311519511, + 987506029, + 746744174, + 965140064, + 448156137, + 203477361, + 842743007, + 770043015, + 325008565, + 758454426, + 217299200, + 782899590, + 61032634, + 480484445, + 838480881, + 799208231, + 630331102, + 155766141, + 295672090, + 983294487, + 8943328, + 342071707, + 111989203, + 608376793, + 147032987, + 762741989, + 668406659, + 428744627, + 866024213, + 969858466, + 724437042, + 177505980, + 286615873, + 368577390, + 283714618, + 551748673, + 293410211, + 305864488, + 101095935, + 792433685, + 696841184, + 405599547, + 984100687, + 222822032, + 616749292, + 226515016, + 797023376, + 761307335, + 443700130, + 937163513, + 402143219, + 104905182, + 566823965, + 132335584, + 911094355, + 198224795, + 17659941, + 958383853, + 91657534, + 662797460, + 747858577, + 114704298, + 206750671, + 157395969, + 133428743, + 730270035, + 448699666, + 349642221, + 226147470, + 248282400, + 560485188, + 153113708, + 806626346, + 499590439, + 439418289, + 236546438, + 392209482, + 147371422, + 217819547, + 779781158, + 432902043, + 533877275, + 907617117, + 447335227, + 991411950, + 266260239, + 231239254, + 545489560, + 225857942, + 629498751, + 37749914, + 981869524, + 615897331, + 81260211, + 276723944, + 640356819, + 300363283, + 480490524, + 298711824, + 52573678, + 688374440, + 481549509, + 106170017, + 733532305, + 101812206, + 760019185, + 375331128, + 820923186, + 743939829, + 651113393, + 15236452, + 45849677, + 437180219, + 960988373, + 435301213, + 144759072, + 113625062, + 55604366, + 267956332, + 49508301, + 736939200, + 519820366, + 296927810, + 418541696, + 934626969, + 353402892, + 906028813, + 360976852, + 575137012, + 746850155, + 360167674, + 379261638, + 139320675, + 76565334, + 3958497, + 16677925, + 911126688, + 996645048, + 617146209, + 13611945, + 323387463, + 339114251, + 236019074, + 406031823, + 186339762, + 987109806, + 703927908, + 637081125, + 817273321, + 600844307, + 334961346, + 403171917, + 131056190, + 344139884, + 477830262, + 973028331, + 707764706, + 396800997, + 135436098, + 39886909, + 894613079, + 468853585, + 800713085, + 725047370, + 95526485, + 529322301, + 520105482, + 527054180, + 298791947, + 515483373, + 35974647, + 836684990, + 924761399, + 128197804, + 948015992, + 126059517, + 1204693, + 795519267, + 984868861, + 398755515, + 92254080, + 873398082, + 533756541, + 432264926, + 747642049, + 365600030, + 47549680, + 756911109, + 115499757, + 600591458, + 361043758, + 479239578, + 924900542, + 382403558, + 134820506, + 885214733, + 214375743, + 729698841, + 696156237, + 262989446, + 780660574, + 566669387, + 317090746, + 245284682, + 434338790, + 166008824, + 131609705, + 971996773, + 290952561, + 506708065, + 563585090, + 525030275, + 156568851, + 960798951, + 770310051, + 325083595, + 53621322, + 724524764, + 815068099, + 202061012, + 114639222, + 825213335, + 325895361, + 363861402, + 529220602, + 5871426, + 491116460, + 222305677, + 550496304, + 485641377, + 477758422, + 81593837, + 344691973, + 352430242, + 729932390, + 653710630, + 328675557, + 262513481, + 876009158, + 531011911, + 39981886, + 222782594, + 233028668, + 536368887, + 963754227, + 373743898, + 743528700, + 816690336, + 299551861, + 785650862, + 854972615, + 290937784, + 6935446, + 400544202, + 697015437, + 986928456, + 121169140, + 890059455, + 279327971, + 158345031, + 916595063, + 508156449, + 886377770, + 583743834, + 324637544, + 73344229, + 744345267, + 79409073, + 183549600, + 668195795, + 46731435, + 282318666, + 907972584, + 128741603, + 559245966, + 814019823, + 253202135, + 157109433, + 893074590, + 899185076, + 295894858, + 699630740, + 180160054, + 155987237, + 74612369, + 493167821, + 802023606, + 750708744, + 639346175, + 166183841, + 775993581, + 131164218, + 869650150, + 54062311, + 59319656, + 688898310, + 17731652, + 812709503, + 909032031, + 581268400, + 813108790, + 77435105, + 695878098, + 957148297, + 584422565, + 973645802, + 975974139, + 850720564, + 820097046, + 513759074, + 147217339, + 59668526, + 618472170, + 402324114, + 458398076, + 769230171, + 884540460, + 146420103, + 113470389, + 508772974, + 175144632, + 318451539, + 723084496, + 273592098, + 354912599, + 294811814, + 513207569, + 919538668, + 785561695, + 265446139, + 922822398, + 758370844, + 605517393, + 876419736, + 724331638, + 204363819, + 785615117, + 189664515, + 653842070, + 551928009, + 574810047, + 294709894, + 534569739, + 785732600, + 296195080, + 690648420, + 951329410, + 519301102, + 574044808, + 672140478, + 164227393, + 608787170, + 379002322, + 982894579, + 262637329, + 678744123, + 506104266, + 92596723, + 923572788, + 565205389, + 18544142, + 697578576, + 419246213, + 194189146, + 455881540, + 744578594, + 618487355, + 509745610, + 679847120, + 714963785, + 508121049, + 468160690, + 20034558, + 962748748, + 273950013, + 896186132, + 277044656, + 214706135, + 61101217, + 177497959, + 612025683, + 972015962, + 323883593, + 281554906, + 185556441, + 9437573, + 449694178, + 609116723, + 165208634, + 485241528, + 243884028, + 710662400, + 484589402, + 110413377, + 504778061, + 839316221, + 25108129, + 677008538, + 780669038, + 289112691, + 478070485, + 989378825, + 242605313, + 849929893, + 590080723, + 228429644, + 269250038, + 505039195, + 176006772, + 693936837, + 11621482, + 600484241, + 742349506, + 241501964, + 825662057, + 54027229, + 170989431, + 554251656, + 357045885, + 788847240, + 915523261, + 678283956, + 870083479, + 319686275, + 529398311, + 797273390, + 530036547, + 231840157, + 244957971, + 724525878, + 974304895, + 336531669, + 647283782, + 280526396, + 279306465, + 408240023, + 301447422, + 308385615, + 376188075, + 497022756, + 2476683, + 663043006, + 798607523, + 885431623, + 366221448, + 514043499, + 782115954, + 486305031, + 452952388, + 594734152, + 89072615, + 56724351, + 793783249, + 149364752, + 474011963, + 154864220, + 152729874, + 518445700, + 595185814, + 180723164, + 133607298, + 595049994, + 322079639, + 569788882, + 317190776, + 521722284, + 473686804, + 347151485, + 545674690, + 556021319, + 775584598, + 466197954, + 564024569, + 496352869, + 392994387, + 146818321, + 790232392, + 882714968, + 524149546, + 142057685, + 479013444, + 625382323, + 44027004, + 483957105, + 890696120, + 838363015, + 249919050, + 238967804, + 635511617, + 648625626, + 500722480, + 873390348, + 744548888, + 423532071, + 894139061, + 553605705, + 59488144, + 488667129, + 880712296, + 742384651, + 67742024, + 715093808, + 873088969, + 443731234, + 181555488, + 109151584, + 102957371, + 848824546, + 711259588, + 320432594, + 321060858, + 882851471, + 615235205, + 196782725, + 707888042, + 955456874, + 558134221, + 31047364, + 213203402, + 99491659, + 22300404, + 306628809, + 756516451, + 945905633, + 30787674, + 871298532, + 392034147, + 121009584, + 208559778, + 485626124, + 152759455, + 438609683, + 570314263, + 252248306, + 667983479, + 324068526, + 507953416, + 459522995, + 248011008, + 808109072, + 467946276, + 24759494, + 122618311, + 961238575, + 6970299, + 866304396, + 130783401, + 836752729, + 591418916, + 863713465, + 456618583, + 262653, + 400283984, + 518807113, + 406688506, + 527710785, + 880641150, + 788966442, + 489884576, + 557655723, + 89044643, + 893092400, + 976137909, + 138970760, + 422784003, + 288939331, + 302788989, + 222911820, + 334030734, + 376238572, + 131012521, + 388864015, + 409140160, + 687641522, + 68157161, + 850627294, + 78345, + 295282276, + 431695930, + 376911732, + 263743826, + 958635536, + 316555613, + 179222826, + 693012216, + 544315240, + 329360515, + 302181972, + 192006037, + 978434133, + 437282340, + 58706327, + 12667183, + 676543489, + 594029511, + 794415885, + 941759408, + 541026225, + 945068012, + 141590355, + 195039273, + 719862257, + 948680422, + 724029677, + 40719482, + 834814309, + 526348938, + 920832238, + 801734449, + 136088836, + 152292571, + 311799060, + 286158897, + 832133166, + 467114919, + 749104718, + 12218709, + 538141538, + 577758040, + 117897077, + 277395076, + 469137083, + 287398468, + 485521712, + 846119383, + 723723819, + 378055727, + 6574944, + 50626160, + 669686362, + 625563880, + 302437703, + 807466162, + 1797813, + 211078507, + 25658168, + 248981061, + 745633359, + 33095442, + 610474509, + 426866823, + 568052535, + 243075577, + 321221767, + 763122989, + 943285449, + 339699252, + 321092959, + 3148582, + 615551049, + 159411817, + 815798051, + 485192419, + 159925357, + 590868091, + 670798960, + 91856800, + 295562268, + 934130273, + 426376652, + 107359677, + 167226099, + 765147931, + 621130061, + 633124528, + 97666752, + 823770258, + 812852883, + 573424940, + 752701805, + 970288168, + 603072798, + 828112431, + 634855343, + 651489699, + 344326216, + 290579838, + 244991220, + 320918147, + 746911462, + 120161938, + 293812777, + 43397250, + 961075027, + 550134742, + 447134612, + 211048103, + 307372615, + 108292934, + 288699938, + 562692578, + 875758787, + 973536709, + 688154227, + 287497318, + 990586497, + 589933507, + 690572114, + 668432653, + 329260404, + 822006493, + 662101669, + 531013448, + 442109063, + 675258646, + 330147502, + 181659752, + 253335540, + 431849848, + 392141110, + 633212150, + 220498682, + 911387881, + 289624303, + 842615521, + 247554864, + 707863038, + 642863191, + 160227693, + 724174624, + 397668291, + 285827723, + 17479921, + 636886110, + 256328214, + 904495917, + 527144643, + 776195621, + 150111687, + 975220878, + 30553798, + 719032322, + 795733152, + 497054940, + 112269952, + 404011861, + 624415674, + 287644939, + 661048140, + 695875251, + 315367952, + 394112390, + 257567971, + 449342215, + 499789730, + 937414369, + 21846598, + 994122613, + 440793919, + 586079413, + 180397629, + 243521067, + 850914261, + 558451216, + 452286953, + 76625603, + 622862908, + 783053901, + 393860178, + 294294339, + 818921228, + 569663180, + 237955193, + 265783037, + 43782175, + 239924839, + 678208704, + 604182178, + 824054526, + 177538594, + 897599347, + 800247491, + 743575745, + 739208502, + 981655045, + 712286007, + 17961836, + 83814550, + 379802853, + 425817532, + 667628659, + 409773093, + 673930867, + 360431114, + 318356109, + 202065529, + 928514529, + 202383698, + 274644200, + 786667259, + 91780979, + 221736354, + 461097882, + 65592912, + 530274680, + 8589, + 219460841, + 393467602, + 663152524, + 53027156, + 527931992, + 168536945, + 846558454, + 29443212, + 598711907, + 592378252, + 606917117, + 579563590, + 875863837, + 739403787, + 9189937, + 473885926, + 727512343, + 734684195, + 316201751, + 132691566, + 136515646, + 715407233, + 827268982, + 907009986, + 384433581, + 573038794, + 794893534, + 600445267, + 140735225, + 619266996, + 66939388, + 689068511, + 721963080, + 99302522, + 92339517, + 980688736, + 91213504, + 918317674, + 128334533, + 320290206, + 936668224, + 967135982, + 408171147, + 186972979, + 566436512, + 590171036, + 310006223, + 871880060, + 941538926, + 514796130, + 270265109, + 310712432, + 458555262, + 780633984, + 944707642, + 187749389, + 115257016, + 962262610, + 541516715, + 632924307, + 656274538, + 304816816, + 629081045, + 234850083, + 236340837, + 647028802, + 333968395, + 627570472, + 312597841, + 202377250, + 798653042, + 754101296, + 477797216, + 910362065, + 860119445, + 913720805, + 206861443, + 132664552, + 439872567, + 54907521, + 288152482, + 92152121, + 683095196, + 609197435, + 788252635, + 982569832, + 154394254, + 301838301, + 359717596, + 874307197, + 845486183, + 552449526, + 375291865, + 930221696, + 592817589, + 156123788, + 118929292, + 467290722, + 195892856, + 272296004, + 212939240, + 904730458, + 519306913, + 246179513, + 770198319, + 430550467, + 97570725, + 317880683, + 410973270, + 860129732, + 521013249, + 863420915, + 855699511, + 817603876, + 256457641, + 951190112, + 948280967, + 972938274, + 584773059, + 373323094, + 515756985, + 31219854, + 271033056, + 817757775, + 888742662, + 357456340, + 749520719, + 146061248, + 672284022, + 12571614, + 51088545, + 466792238, + 732763676, + 367351143, + 429685217, + 829089764, + 621696397, + 692520505, + 643410547, + 507067336, + 304847218, + 143620469, + 555420956, + 851181710, + 166984203, + 751198951, + 482549692, + 925466245, + 29286695, + 863072426, + 603601709, + 587239364, + 959176087, + 891540262, + 787438966, + 498976128, + 358346970, + 261845220, + 68489456, + 601716845, + 999410640, + 817401677, + 802563518, + 76733511, + 975440361, + 2276998, + 792373158, + 358566582, + 655734495, + 515874241, + 432156573, + 902862653, + 215090726, + 516372150, + 373284049, + 195760946, + 893141896, + 667191635, + 96858981, + 711232159, + 463416635, + 465158012, + 218030684, + 720969562, + 265109590, + 645354775, + 837460424, + 641457638, + 336971879, + 397092851, + 433712232, + 798932454, + 691850253, + 825550483, + 196858365, + 205569510, + 35396813, + 171053310, + 308242663, + 955990656, + 600948148, + 537660889, + 441530135, + 221081516, + 996134157, + 473361744, + 586992443, + 144049495, + 974254372, + 133472446, + 727568552, + 291224373, + 752508672, + 928988475, + 131544784, + 58887900, + 540720627, + 836842650, + 723725797, + 74492062, + 195770285, + 746865991, + 236845498, + 461308137, + 612018663, + 186672335, + 669574120, + 177838546, + 320617405, + 243062637, + 61523876, + 860847866, + 291394259, + 440875414, + 124596941, + 439510313, + 950156356, + 796400724, + 946724825, + 614833352, + 46470976, + 471829714, + 95314021, + 917698400, + 110012279, + 651110540, + 680137580, + 890185882, + 150938897, + 915603342, + 229150227, + 740124651, + 50158650, + 585657756, + 979950978, + 755241152, + 235744246, + 504822783, + 925314767, + 51112405, + 941171378, + 830341452, + 230145568, + 888480142, + 456078129, + 654415446, + 571180422, + 952203526, + 125846481, + 356241593, + 373795685, + 913628423, + 713218055, + 171583376, + 441087964, + 994435808, + 209242523, + 622762990, + 270100603, + 108178505, + 430304908, + 96857099, + 164808955, + 89117285, + 992190799, + 424141064, + 18894847, + 676609576, + 981080645, + 951451750, + 315879162, + 543169380, + 710735252, + 460975386, + 536428905, + 209313474, + 804813040, + 389232815, + 608617014, + 618152153, + 249512599, + 822445162, + 366742904, + 47168485, + 295580307, + 137976362, + 801112837, + 676657595, + 256951595, + 765860629, + 239396244, + 636747580, + 450872701, + 791657845, + 610054487, + 550583303, + 339415725, + 883363572, + 881833184, + 397036789, + 251347555, + 397792695, + 346925269, + 961098425, + 185806472, + 843783052, + 121611461, + 807568618, + 184337678, + 714716254, + 207678348, + 30833445, + 708314810, + 736077699, + 363662209, + 267986416, + 459584245, + 698842305, + 334982813, + 264654222, + 645359267, + 911514932, + 371513377, + 389352093, + 54137949, + 980028816, + 723077961, + 870261826, + 67785917, + 307989780, + 13133900, + 450547943, + 232187540, + 407715969, + 204436595, + 769169965, + 906760181, + 240121045, + 307010420, + 297065848, + 779580011, + 830133228, + 825131819, + 300273684, + 951607101, + 231128018, + 814048585, + 862390852, + 858632208, + 915808740, + 111089961, + 245314282, + 335093588, + 873500593, + 345285648, + 577400433, + 323310179, + 550224431, + 990074151, + 603649836, + 883226821, + 333828514, + 982843284, + 164094856, + 665481454, + 77220631, + 182217347, + 801093664, + 557364360, + 377291798, + 589924418, + 325268712, + 974126658, + 310235865, + 225297504, + 744291843, + 29155592, + 472699270, + 9682851, + 213026345, + 127745316, + 917800106, + 726224307, + 80428037, + 40022138, + 766001052, + 237006454, + 479680711, + 880448853, + 450352179, + 128875732, + 618823197, + 839542521, + 625905079, + 961559891, + 357037921, + 588136650, + 937522512, + 300291536, + 396606177, + 474939644, + 109640613, + 797166558, + 994886174, + 777678880, + 332761198, + 956731980, + 475449816, + 393650828, + 692935415, + 839760001, + 113668831, + 820989662, + 237646024, + 14718815, + 404895739, + 139608203, + 648703639, + 918634021, + 781265120, + 358291861, + 313890587, + 344753318, + 13693303, + 145039552, + 744628808, + 694497075, + 378434451, + 19792793, + 612086964, + 612940437, + 212537851, + 681148301, + 968104162, + 231048289, + 126608855, + 944956033, + 118621456, + 423025622, + 718205921, + 284513733, + 124196680, + 10109288, + 999649708, + 68164117, + 460625207, + 829018903, + 717784045, + 424464059, + 962459417, + 309147279, + 429491153, + 953693041, + 231429868, + 344729507, + 584491885, + 996959535, + 205351935, + 18794978, + 206433266, + 677628803, + 609319953, + 655742298, + 295455023, + 596457070, + 692084840, + 104965940, + 879693478, + 245139886, + 941675494, + 417655662, + 698616179, + 640504889, + 743884648, + 422923162, + 395729315, + 818547061, + 277568028, + 861397507, + 701133279, + 836154849, + 963719188, + 958131783, + 762993102, + 325472013, + 261116661, + 988511278, + 7179887, + 650120359, + 957015863, + 70619713, + 574309329, + 873794746, + 262016615, + 473376861, + 203408812, + 302340125, + 300816930, + 753088528, + 963500456, + 459335464, + 284243852, + 480149675, + 865476479, + 543054492, + 295422644, + 476815097, + 905571550, + 608105429, + 280559553, + 882890216, + 834309966, + 681040244, + 560141996, + 43183443, + 886510901, + 242487238, + 514104179, + 370925641, + 337683599, + 505778526, + 936224432, + 127014958, + 935435038, + 168361596, + 193263960, + 877357471, + 390664425, + 197622326, + 477662658, + 316679566, + 196295589, + 879225597, + 450567200, + 506539125, + 707131531, + 466037425, + 36918159, + 644449219, + 184862782, + 403408782, + 203276909, + 740966903, + 571864285, + 70986410, + 661904320, + 945174100, + 605567132, + 394987596, + 218391221, + 357330028, + 225873759, + 528442058, + 230126162, + 770871265, + 162609537, + 883240731, + 785015721, + 962328239, + 913524503, + 891073500, + 782603052, + 977100889, + 162743708, + 490861146, + 124722122, + 3896961, + 11302583, + 767559066, + 438694342, + 323486819, + 896823402, + 127794951, + 362701637, + 135196241, + 819204129, + 12283025, + 86559435, + 29662009, + 91282915, + 999316178, + 259657912, + 34858522, + 703587346, + 653533102, + 197692406, + 257666001, + 982767729, + 69814910, + 473364082, + 367328628, + 808215862, + 742999351, + 970891462, + 254200350, + 307178583, + 843357803, + 427860946, + 921836239, + 787411499, + 123646888, + 152503773, + 495894665, + 360119407, + 914223676, + 224764875, + 908867026, + 369330287, + 396452818, + 126886971, + 740822328, + 869446842, + 583741341, + 761876898, + 741494514, + 55016979, + 585546510, + 591045638, + 195337337, + 556311181, + 814316750, + 27783452, + 218187979, + 59964278, + 863047704, + 143900307, + 367382823, + 67110084, + 648193980, + 809901190, + 299702296, + 346298077, + 701633876, + 850436678, + 546057463, + 26794087, + 548852587, + 262867638, + 840549667, + 284574716, + 458250692, + 44664849, + 844852876, + 688948421, + 78346919, + 564400687, + 751880848, + 423103146, + 967830621, + 632876843, + 565986688, + 296367665, + 382692892, + 542303431, + 694744353, + 476468009, + 500798075, + 802526325, + 825795433, + 504841257, + 760126100, + 979392126, + 879683379, + 490805336, + 100448667, + 217807375, + 339023451, + 276053099, + 234510396, + 263301863, + 536898482, + 304586545, + 772742301, + 384826143, + 209746290, + 259216428, + 594674934, + 571367800, + 210515729, + 264160396, + 153721824, + 95412832, + 778776181, + 263679946, + 959573349, + 869191643, + 441994231, + 704286019, + 663556532, + 319363164, + 612795973, + 430257262, + 909706607, + 111926776, + 375760917, + 387304565, + 335773545, + 831500736, + 35014834, + 485494995, + 963327447, + 750778462, + 856301811, + 595960184, + 561078086, + 757147130, + 487286310, + 4640847, + 916794602, + 996463629, + 144298586, + 187437932, + 631043184, + 445823195, + 767166259, + 236034948, + 837053060, + 157657477, + 654123499, + 748318470, + 891263020, + 316541253, + 964263500, + 851821599, + 434177168, + 962275260, + 68195477, + 795769386, + 484737203, + 527057106, + 802326351, + 140226534, + 86619100, + 909117955, + 184708746, + 901108691, + 988527573, + 30801946, + 678499884, + 131610512, + 666590653, + 965699409, + 60343534, + 289331153, + 521673741, + 29660230, + 637561402, + 170703387, + 978619909, + 200367382, + 337434285, + 97358163, + 62550481, + 830574717, + 708878867, + 450087846, + 753242449, + 35871901, + 644447052, + 434884281, + 780779475, + 739208537, + 602369758, + 219643987, + 926302798, + 154087764, + 193252757, + 114470464, + 545461823, + 32788279, + 290608129, + 930546363, + 953429340, + 463125615, + 103913033, + 150358728, + 976263423, + 895878172, + 474984807, + 909167523, + 852366518, + 248870616, + 214014785, + 728079494, + 537112349, + 699541647, + 296187355, + 485415759, + 500286242, + 111944956, + 171072966, + 554227006, + 261947382, + 516121960, + 455539221, + 130770917, + 637455848, + 441957245, + 627066084, + 105493028, + 198358664, + 353437280, + 60377016, + 454261355, + 577030023, + 539632514, + 477526946, + 973886645, + 435211684, + 327724799, + 597914696, + 2839768, + 621274802, + 12319405, + 762035363, + 764748119, + 379259907, + 202745841, + 6478619, + 688843486, + 862313085, + 6324729, + 285755942, + 682407538, + 670817617, + 875261293, + 739743535, + 59518439, + 541848422, + 177775535, + 153468441, + 716506693, + 733687833, + 345930288, + 938050532, + 83136435, + 70872586, + 906537941, + 21555049, + 515048173, + 839242802, + 396906130, + 310844657, + 578603052, + 821791122, + 872165888, + 837396195, + 267304170, + 64252641, + 92024826, + 182063818, + 638303727, + 88513975, + 30603118, + 829512185, + 236040182, + 670559513, + 556011540, + 814032526, + 697410735, + 69716649, + 977743132, + 811443499, + 830138007, + 572299923, + 261253051, + 225993063, + 427923983, + 746630623, + 121078088, + 635180664, + 142548090, + 799979233, + 861949709, + 734661067, + 217336233, + 30476061, + 408959552, + 346240279, + 552774360, + 806711370, + 599717665, + 662719669, + 419845059, + 153401332, + 617877386, + 660614953, + 417711170, + 52089229, + 68964516, + 917775244, + 305402871, + 22077740, + 912043225, + 285478562, + 264097633, + 533731202, + 388966654, + 356120859, + 391669852, + 922609595, + 839616185, + 608268608, + 694720341, + 803080401, + 765661076, + 936703485, + 882564282, + 142026427, + 502112227, + 356191972, + 372356019, + 810261805, + 873717309, + 211403108, + 529743845, + 816203589, + 245680434, + 885981464, + 225116394, + 101446118, + 732342305, + 755156935, + 645706422, + 32901056, + 707620143, + 390899886, + 371230218, + 730030440, + 202489953, + 143790117, + 502078862, + 625946620, + 361640377, + 46606866, + 489332711, + 389593984, + 718820968, + 144983849, + 392882268, + 43407580, + 293382243, + 360436177, + 289975915, + 696633121, + 267213181, + 58783815, + 616820779, + 570924631, + 381895775, + 406727995, + 738869277, + 226677353, + 926450165, + 443701265, + 241699512, + 815355105, + 165731339, + 398388471, + 305704214, + 958583772, + 999310443, + 482541030, + 225861310, + 394364634, + 155947867, + 525867350, + 337614651, + 862717659, + 886483590, + 604701743, + 328793927, + 380581264, + 754679321, + 961635353, + 715473285, + 288378121, + 317869910, + 757254394, + 654152543, + 198855116, + 897378163, + 243078873, + 638921911, + 762826746, + 302261514, + 951550396, + 472055446, + 170484666, + 265630047, + 691426587, + 339452964, + 663555665, + 451518992, + 984237181, + 898254722, + 856910644, + 598411706, + 748721493, + 587042997, + 517300560, + 585082834, + 252604371, + 858796853, + 394773734, + 802638187, + 741853816, + 813654068, + 192632646, + 352555281, + 570731809, + 118817410, + 937374179, + 272959731, + 128954769, + 580325202, + 489394273, + 60864222, + 710845313, + 588077355, + 581122667, + 720487650, + 904387127, + 55824796, + 213073178, + 491030842, + 226307843, + 981618726, + 999183561, + 252285236, + 669480205, + 397652265, + 572910774, + 106399719, + 529029196, + 487038794, + 358199063, + 184252193, + 39810213, + 921497584, + 479936708, + 350615481, + 913251663, + 410360918, + 236527262, + 3273410, + 491282665, + 197093618, + 836546833, + 302059528, + 838742905, + 364568697, + 870392842, + 617864889, + 837035589, + 823070392, + 552719864, + 256552804, + 436932076, + 271321255, + 223383624, + 541002390, + 211062393, + 152323162, + 648108415, + 708332503, + 655431100, + 905851294, + 899201527, + 287905870, + 706895298, + 8010099, + 210999447, + 340591980, + 788681467, + 555735451, + 682888758, + 566068058, + 753141323, + 654378632, + 118307181, + 157531640, + 187810340, + 906919065, + 344150301, + 265294027, + 615332938, + 576197907, + 528060274, + 986777427, + 684680667, + 497086902, + 786943757, + 926426311, + 818801297, + 600414424, + 46783191, + 826197257, + 36485369, + 317621789, + 544071040, + 240034613, + 121129800, + 716588695, + 472131014, + 884536476, + 165372877, + 119828403, + 118015176, + 946758315, + 992760610, + 277991022, + 534944059, + 74280538, + 678940507, + 584964240, + 855069419, + 476523737, + 174217435, + 234806386, + 433561952, + 576387509, + 960053037, + 200046595, + 315555736, + 150028048, + 816910592, + 867762899, + 768500478, + 486329187, + 946146638, + 60169656, + 151193975, + 146435633, + 592686894, + 487609037, + 154316845, + 619204765, + 583334615, + 587674471, + 137468870, + 649742795, + 260152717, + 335098173, + 43323971, + 703307711, + 4262961, + 808817355, + 980628188, + 950645282, + 67584687, + 989908066, + 669540264, + 202607953, + 849569311, + 822091528, + 754541026, + 154445211, + 371049246, + 424909193, + 8511421, + 875016145, + 846454022, + 102848760, + 705643615, + 394891893, + 374475832, + 198720485, + 768049468, + 484338783, + 416937591, + 647462094, + 558141410, + 662742458, + 927825694, + 239627899, + 386289290, + 623074731, + 840163120, + 682959071, + 538426258, + 892233569, + 939556303, + 100691498, + 785698047, + 108157984, + 630529622, + 402898321, + 508198859, + 815808664, + 380838889, + 411168765, + 130824049, + 891583800, + 762301127, + 398971318, + 222643438, + 395187579, + 123050023, + 944474421, + 695524406, + 453959289, + 763358690, + 285551739, + 728794601, + 762006757, + 797442229, + 415750047, + 336445417, + 981860869, + 763569132, + 811966949, + 299178363, + 707384889, + 511848885, + 358798731, + 770457958, + 207892432, + 698597689, + 562570228, + 629384962, + 902770311, + 494627955, + 780031068, + 333744202, + 311503230, + 784176620, + 720845318, + 403199100, + 667755680, + 88599589, + 516132434, + 101302989, + 272124185, + 529423178, + 351144657, + 236463660, + 659551070, + 322132096, + 105240346, + 936635430, + 577705060, + 591699763, + 976150035, + 734000082, + 602451982, + 868010952, + 573615048, + 761351654, + 304042848, + 539898935, + 349540345, + 271056900, + 238737353, + 394503006, + 226594667, + 358242776, + 181421141, + 445334993, + 773131211, + 301920154, + 626772149, + 923641463, + 591082243, + 779651228, + 392358732, + 244291968, + 22066113, + 317635297, + 906211588, + 457806316, + 790412805, + 456791221, + 150377730, + 35980422, + 603121273, + 917535343, + 529567571, + 431279691, + 654945736, + 774160043, + 488889970, + 857735083, + 457932881, + 270940642, + 399238250, + 258316495, + 588732825, + 390483122, + 247077668, + 125942765, + 757789104, + 511539742, + 603032884, + 420311492, + 820762092, + 581434594, + 482607891, + 534179499, + 914476831, + 754704353, + 650184237, + 327426516, + 150746960, + 225901977, + 789550388, + 873953303, + 649404569, + 483404972, + 227496115, + 772614930, + 713557967, + 22345002, + 699974385, + 877741546, + 118634217, + 347942257, + 571671112, + 809436319, + 231662033, + 971549852, + 557401431, + 32426230, + 595046748, + 286586657, + 171485793, + 204460740, + 789079647, + 676190045, + 107094235, + 649254718, + 600148150, + 374024915, + 199420522, + 98725757, + 983652010, + 540447672, + 781838014, + 194696644, + 466897999, + 556047888, + 713791342, + 291243555, + 78409475, + 653274845, + 960613549, + 374929162, + 111209672, + 540669270, + 272415610, + 295505150, + 825868366, + 441534497, + 220988650, + 548210359, + 139709727, + 225590494, + 662018976, + 18077117, + 458050591, + 540020878, + 168847228, + 795028187, + 959070721, + 29924543, + 552233003, + 702972941, + 413344001, + 546127372, + 491361621, + 673014068, + 290416045, + 645951585, + 559888950, + 408805156, + 357148430, + 186182321, + 286600964, + 303029461, + 648126502, + 15770432, + 824353861, + 504105342, + 171313482, + 393092450, + 202141747, + 62733809, + 913255273, + 768068841, + 7223375, + 69047771, + 147730430, + 145667731, + 868773367, + 263130725, + 476230858, + 192714203, + 134670198, + 705750319, + 225606794, + 763728292, + 74200498, + 661154162, + 695061738, + 815396115, + 707415765, + 541442274, + 61720027, + 85515471, + 794854366, + 234274997, + 608390732, + 279068739, + 924462359, + 807030823, + 732558088, + 709236999, + 909600081, + 789672143, + 924005184, + 106947426, + 680107032, + 352306653, + 104814480, + 356696088, + 906707209, + 947080414, + 816133898, + 615913584, + 562918295, + 407362190, + 940331825, + 824177808, + 878252740, + 309217436, + 427517190, + 506147383, + 562093565, + 390848307, + 561431244, + 793474723, + 535203655, + 523386307, + 751957643, + 674954383, + 646454174, + 815068363, + 140399880, + 209048542, + 64741185, + 902259347, + 513006960, + 895967480, + 838340772, + 72950412, + 233307687, + 19082098, + 119972751, + 111666656, + 722117522, + 214539098, + 876989464, + 982201945, + 796722292, + 75328712, + 598165741, + 167603416, + 662666295, + 142859666, + 793048514, + 691393683, + 739010980, + 105813984, + 636238392, + 132659186, + 261418489, + 787437244, + 991485718, + 37787212, + 953941275, + 765545037, + 131563952, + 583154641, + 295203646, + 886769611, + 365924432, + 760083224, + 925724428, + 618472533, + 872622259, + 344959941, + 470268009, + 772794657, + 63695359, + 958064019, + 235358244, + 24395152, + 648596117, + 786365491, + 853217412, + 577508448, + 476505883, + 213282295, + 206709562, + 387046887, + 540456019, + 280751971, + 136187670, + 917411286, + 146898889, + 100238509, + 23566725, + 182582276, + 141975492, + 363149584, + 484802117, + 355605404, + 536657891, + 422394911, + 685619243, + 782217027, + 415979514, + 399911791, + 125966291, + 968478048, + 670832832, + 53881125, + 649226000, + 695549367, + 463444057, + 859202110, + 571112817, + 337829989, + 907721085, + 158466530, + 582287366, + 417306949, + 277010179, + 241770028, + 753044437, + 26531710, + 606182519, + 898179708, + 401743060, + 546729919, + 18741453, + 556353181, + 670615521, + 303065718, + 48851391, + 793259118, + 291276996, + 389733542, + 244807981, + 664581388, + 829876599, + 22479523, + 18680367, + 179268379, + 987949667, + 195322851, + 521022077, + 50858558, + 559094427, + 325905444, + 353315759, + 741150396, + 319934614, + 511847079, + 10934580, + 904405024, + 104595248, + 285771287, + 85725780, + 937971357, + 589056836, + 102538932, + 707284285, + 489817280, + 75429788, + 346742114, + 749697136, + 199967610, + 880349854, + 759411723, + 896540000, + 467058438, + 582863535, + 945926993, + 609297962, + 830941171, + 817497563, + 231127614, + 238691685, + 308866404, + 947827940, + 721001207, + 947193382, + 104505798, + 179573970, + 809458132, + 430189145, + 236026437, + 152042887, + 372231389, + 794146987, + 508651490, + 913715325, + 609318769, + 499637986, + 198884809, + 629130884, + 637779756, + 460909575, + 234587020, + 644994413, + 335376957, + 995035956, + 953810799, + 863592394, + 863689945, + 977798568, + 814519468, + 940979168, + 360238477, + 508334867, + 13390434, + 508586629, + 543740352, + 231362530, + 825992271, + 411544144, + 806384225, + 612023271, + 779162588, + 797607832, + 65751085, + 969781516, + 59610828, + 655139907, + 337604242, + 274376688, + 774998849, + 291462339, + 497783766, + 620721974, + 959638332, + 345075750, + 498459288, + 429085627, + 882063156, + 207582851, + 169535911, + 961021390, + 81382898, + 668606094, + 690039278, + 564264230, + 463599585, + 673515134, + 355294910, + 197759316, + 798193274, + 907635449, + 255077638, + 994172123, + 892962125, + 765605942, + 68444434, + 903541229, + 467922366, + 787722391, + 476730095, + 294385258, + 374501198, + 241818891, + 4678379, + 700728385, + 63920313, + 993890710, + 608616696, + 765202731, + 620591396, + 895401710, + 371961404, + 170358924, + 585802360, + 460648986, + 628908951, + 722736283, + 78521892, + 91878694, + 365677902, + 334930491, + 908499049, + 411515350, + 368642022, + 760261495, + 801433106, + 967641913, + 302199450, + 842378998, + 516377313, + 110947724, + 486027524, + 632247955, + 84074992, + 506338430, + 392997720, + 302430120, + 699887251, + 656777199, + 857502523, + 196100287, + 254611843, + 661657820, + 379187726, + 156554470, + 773116798, + 985788970, + 982421412, + 864395121, + 142487525, + 270958922, + 716366925, + 647242852, + 533812907, + 157831746, + 120069248, + 682898340, + 421637217, + 138228744, + 716057727, + 417099336, + 857868839, + 414531802, + 939290145, + 517323713, + 137322910, + 469776365, + 800699041, + 242138298, + 881736301, + 871740118, + 293726353, + 202391575, + 859855125, + 557584508, + 524815440, + 931406078, + 835815911, + 640135760, + 858499564, + 118165448, + 461249745, + 775769661, + 960340494, + 116747435, + 598769028, + 17593050, + 238825925, + 409714594, + 651731446, + 720761435, + 427136927, + 517795150, + 851828181, + 41586004, + 443835906, + 43539190, + 882075653, + 588305350, + 900510609, + 275727336, + 84016644, + 888556532, + 897056576, + 766297851, + 847574641, + 555917019, + 110301545, + 659882724, + 39976293, + 323605296, + 434538725, + 144102434, + 506990377, + 674851144, + 369792761, + 416468692, + 309924813, + 346067202, + 678543542, + 991708095, + 4880461, + 170880149, + 650479424, + 48925066, + 270729866, + 503526245, + 657705595, + 253482515, + 298691209, + 881108057, + 204784173, + 756249349, + 89617940, + 801177968, + 777739540, + 799208635, + 289284005, + 842991500, + 678842802, + 968006939, + 853301148, + 852504947, + 887229972, + 698190440, + 693130679, + 706764382, + 267396245, + 142895429, + 206483700, + 303864900, + 216773225, + 757864030, + 868887329, + 681158082, + 435725884, + 41922072, + 280939852, + 836548438, + 67115418, + 528173216, + 645901363, + 612500030, + 30078978, + 611206859, + 812360380, + 617911133, + 319136166, + 649564252, + 260055159, + 910875000, + 802672823, + 757744903, + 196258810, + 163954117, + 830010254, + 849516850, + 472616274, + 263982756, + 128210931, + 181608257, + 297373858, + 561894395, + 48083242, + 541073115, + 957172672, + 824385926, + 196932457, + 762730332, + 438510115, + 190937391, + 954668190, + 699473187, + 16962679, + 653336583, + 489830012, + 260824471, + 731796959, + 970905082, + 388258413, + 797834012, + 964655733, + 992488484, + 147014956, + 967036622, + 134981747, + 50603502, + 594774265, + 66219327, + 723456176, + 818991649, + 519400849, + 698408110, + 697790313, + 224274081, + 96599985, + 29867394, + 897728617, + 71712792, + 306492511, + 470388903, + 75676302, + 500124082, + 819041783, + 671247845, + 763412280, + 325025617, + 131165109, + 725737030, + 464509343, + 818516446, + 286295658, + 604992195, + 46095997, + 920375713, + 849830005, + 328730535, + 742258922, + 184508231, + 985958485, + 449343580, + 160959225, + 396781940, + 976084524, + 662607621, + 855448787, + 424554177, + 952660654, + 314353703, + 414240211, + 110163286, + 469841550, + 279244078, + 226910344, + 211546961, + 202536666, + 838881611, + 266156438, + 316252751, + 236829485, + 705886351, + 93051321, + 53890011, + 869465381, + 275839124, + 824577738, + 589583629, + 42356413, + 598732679, + 579457922, + 972098933, + 616090548, + 621758047, + 928060065, + 878158811, + 220833600, + 435050901, + 678774104, + 273619419, + 182337109, + 189204025, + 509157117, + 747864079, + 842095868, + 975218997, + 241435456, + 928452309, + 947689012, + 907735582, + 720187015, + 396860548, + 939440231, + 552810821, + 518778975, + 414848115, + 737353945, + 64929815, + 58509229, + 539747643, + 977594570, + 711380958, + 864861635, + 943622898, + 557138674, + 864243166, + 223698344, + 975719122, + 602242482, + 53772608, + 199584009, + 22388947, + 784646891, + 612291628, + 322637417, + 354505839, + 352710790, + 413615433, + 7153838, + 99781033, + 708635610, + 672347198, + 734430887, + 669589234, + 479712324, + 77707819, + 528475178, + 579972092, + 861943078, + 870301944, + 882953158, + 977338499, + 231253302, + 873220825, + 445997189, + 414084861, + 824712174, + 331065494, + 927730953, + 607707545, + 743042310, + 138938541, + 731656189, + 375705897, + 137992094, + 739253497, + 378922581, + 545412633, + 856506705, + 305683477, + 168509290, + 528062038, + 339133264, + 533068138, + 122346592, + 453095236, + 758543649, + 451361311, + 660099519, + 354559011, + 930635143, + 96757989, + 180668576, + 850480527, + 405696983, + 970767223, + 839213346, + 609754293, + 50397047, + 724068419, + 908907857, + 544031760, + 609214669, + 57856097, + 114364609, + 302383450, + 638920020, + 8851462, + 909290543, + 164049788, + 832779231, + 297199053, + 564671390, + 400725359, + 123446938, + 706441311, + 977719466, + 569517206, + 483303453, + 21530429, + 104943945, + 791268552, + 109178525, + 577687899, + 640260229, + 346364982, + 994562742, + 617075880, + 374485426, + 482599587, + 870955651, + 12515210, + 992555253, + 253486222, + 540127219, + 974303167, + 523130594, + 225303810, + 979670384, + 841152181, + 949721832, + 96125158, + 113219080, + 298042893, + 47298842, + 975531110, + 275167750, + 483620277, + 460837271, + 452825069, + 970946168, + 592938730, + 567467983, + 819131134, + 313972354, + 125412402, + 501420645, + 913007370, + 939578505, + 659851272, + 828484132, + 891974584, + 115766166, + 615467399, + 38250425, + 484688264, + 238127809, + 743507067, + 439363741, + 729676230, + 137975, + 809850551, + 273715752, + 932438242, + 663757524, + 995699631, + 975832550, + 770989012, + 505383382, + 559495973, + 606137319, + 41053329, + 332805605, + 548609665, + 448143659, + 60062481, + 886530373, + 614499661, + 862625497, + 716356011, + 343096447, + 59793366, + 340221101, + 880271367, + 253499086, + 811407273, + 15929565, + 357267023, + 300315670, + 434543574, + 711555417, + 154183608, + 349524893, + 788661419, + 127109223, + 450239207, + 374469821, + 297561392, + 735180767, + 943606275, + 599833261, + 73811277, + 930477209, + 342421648, + 23249947, + 464304221, + 151034134, + 982355319, + 646788866, + 966088286, + 657697802, + 572392365, + 488463020, + 508876502, + 748415023, + 654524878, + 964525755, + 256197837, + 109989541, + 955403294, + 662179812, + 385880124, + 67946664, + 809639283, + 236115557, + 243145549, + 551835108, + 466440433, + 607323352, + 855901775, + 250746588, + 602609794, + 789114937, + 154251351, + 38553254, + 313072763, + 751307059, + 734206374, + 554037860, + 299090136, + 89682698, + 359588717, + 559252909, + 979554890, + 991295037, + 229996806, + 963883790, + 626204669, + 876073815, + 97706658, + 596992975, + 857470575, + 214674563, + 115830047, + 591350883, + 128493032, + 400894721, + 845926338, + 352185546, + 218533766, + 935855625, + 966400076, + 754345735, + 598438558, + 914263876, + 577322492, + 905423559, + 495043989, + 684045569, + 554386577, + 152358701, + 886482104, + 477624235, + 163431801, + 930107946, + 511086167, + 16423662, + 925160254, + 133984317, + 908873611, + 427118425, + 215059201, + 359648444, + 932969373, + 834737618, + 973302847, + 661683603, + 43178810, + 694772346, + 526689590, + 601376757, + 731289381, + 40658231, + 777847917, + 277795352, + 555635893, + 222351373, + 690238888, + 539957983, + 820049970, + 15193645, + 785377403, + 504432799, + 563113701, + 650360634, + 343366662, + 527755709, + 601419994, + 345850351, + 757656219, + 505588854, + 960726911, + 75666303, + 790626917, + 517454592, + 495242413, + 567375637, + 718702459, + 47390287, + 612106489, + 276258944, + 476223334, + 475687297, + 159997012, + 186689834, + 52349310, + 226998296, + 514267176, + 860404765, + 293854319, + 218812309, + 33445329, + 111295150, + 461164734, + 762485090, + 109133076, + 176553424, + 484946207, + 56617623, + 96692897, + 14756158, + 64282391, + 343173464, + 297335857, + 179217537, + 496085843, + 433257419, + 594110398, + 146486976, + 161252030, + 269303745, + 239107017, + 538060954, + 328210101, + 798060726, + 458481296, + 225500603, + 449856650, + 68373634, + 410054598, + 318534265, + 933383247, + 273398934, + 395435400, + 436942136, + 597086418, + 690602918, + 84397063, + 683306269, + 529452245, + 201388304, + 127438681, + 542108652, + 212231292, + 72785610, + 216827967, + 588076084, + 354593269, + 48848820, + 721083403, + 892466522, + 120001854, + 904105303, + 417205138, + 488489245, + 592162008, + 380840968, + 962673516, + 132646587, + 818791712, + 581633789, + 334943913, + 262534680, + 348773522, + 923408682, + 821508308, + 572052747, + 94625948, + 602978947, + 451639763, + 219945196, + 425549853, + 239703804, + 587451226, + 862543083, + 655206363, + 290023983, + 173884946, + 991384952, + 147361692, + 876773642, + 14032771, + 229886590, + 305715678, + 646756362, + 478919109, + 717543129, + 815894250, + 931954197, + 300249755, + 685161122, + 416521540, + 406322998, + 37850623, + 166982452, + 39705475, + 519710746, + 208685057, + 563743928, + 243778537, + 156069832, + 899009479, + 145071607, + 367765236, + 703578338, + 807844244, + 218180733, + 487197040, + 739553413, + 17812660, + 808147319, + 631456228, + 41971746, + 385792127, + 281438319, + 287212164, + 338851446, + 504758999, + 938945233, + 399724503, + 151786142, + 219020322, + 451813772, + 636945813, + 993010113, + 436323940, + 176802220, + 45323516, + 772843147, + 931690402, + 782260032, + 883499658, + 672768845, + 417625519, + 532274216, + 55142270, + 680916264, + 656823882, + 375904110, + 588691699, + 29765796, + 160427298, + 592785958, + 760118665, + 246179657, + 706749056, + 556092080, + 338908195, + 924573315, + 102261207, + 367059629, + 702952111, + 442958889, + 216305694, + 677454541, + 116856852, + 97189728, + 887361109, + 966032341, + 724652139, + 95083015, + 815588269, + 229089139, + 824029928, + 109583925, + 513405153, + 868911359, + 368140829, + 138125594, + 952221954, + 190901465, + 746857147, + 179865168, + 589367049, + 846903937, + 886840809, + 310895194, + 957462718, + 797594523, + 322650655, + 864650594, + 382854188, + 646893295, + 744695202, + 444503675, + 687797829, + 348637856, + 73674092, + 276834527, + 760997230, + 361098203, + 728834241, + 13877519, + 939672036, + 106249442, + 994981286, + 219947947, + 90654931, + 853408370, + 934153577, + 879027665, + 710541847, + 110754105, + 106286891, + 66455836, + 856575621, + 732539477, + 672527315, + 535023072, + 226363860, + 943925204, + 734516626, + 308244979, + 77706482, + 4175063, + 600949023, + 932642240, + 429830815, + 272847758, + 76239423, + 525174797, + 595943381, + 115923165, + 775515204, + 996739560, + 171768983, + 988590016, + 420170432, + 337666349, + 683298911, + 776948497, + 101075550, + 778367234, + 788527721, + 12466095, + 425231330, + 795637135, + 53499920, + 512901567, + 599846080, + 25652947, + 170385704, + 679889220, + 534931385, + 201319017, + 857567192, + 152006784, + 184486576, + 640592788, + 244806662, + 562587498, + 987423774, + 518649047, + 162647315, + 619401399, + 361674428, + 489471781, + 943897025, + 860224495, + 346790548, + 586598132, + 628213884, + 219202003, + 402631907, + 536293435, + 230423649, + 977348056, + 569558102, + 833788259, + 107553973, + 516237652, + 684670733, + 899853137, + 52125085, + 237864690, + 250511049, + 189878892, + 42883715, + 880943997, + 466037336, + 271548161, + 413157702, + 538147056, + 798287741, + 666262336, + 195559694, + 91349461, + 340120954, + 444163391, + 334809394, + 603090921, + 389702701, + 385137702, + 370036613, + 849282222, + 184339877, + 182785938, + 334786632, + 669388096, + 777289130, + 179125278, + 231602480, + 211417976, + 696626468, + 481307906, + 633121538, + 196154129, + 475645526, + 369880036, + 223500570, + 645811851, + 465697064, + 256562820, + 687382010, + 213349080, + 440356368, + 611731924, + 303188518, + 271802658, + 43719109, + 718091830, + 918262287, + 485514616, + 667782547, + 985511561, + 46958857, + 454636223, + 529917303, + 457241233, + 803740427, + 463301238, + 748877939, + 982766452, + 568889008, + 868745397, + 47593417, + 994049325, + 25697632, + 498217764, + 965462128, + 162520377, + 34462886, + 286567373, + 907530170, + 964324314, + 25669721, + 833166189, + 173240889, + 475167374, + 150606074, + 250204420, + 245291084, + 427868654, + 994906022, + 956589209, + 165014840, + 271122329, + 820974806, + 712102377, + 801634434, + 260845687, + 804514998, + 353080327, + 531088631, + 134002242, + 964888197, + 142850324, + 494831630, + 929449825, + 85520024, + 626539131, + 703541230, + 299047180, + 116443630, + 894274345, + 418426762, + 329280725, + 824396019, + 529698375, + 506626426, + 489592694, + 464365693, + 527161381, + 842825364, + 774954965, + 315456147, + 388237057, + 549186875, + 650144130, + 479050823, + 809262524, + 639759583, + 511142829, + 844385668, + 109299790, + 396413397, + 278595651, + 414242047, + 861345848, + 210854031, + 91549955, + 263260642, + 40699545, + 414980228, + 995272947, + 807821112, + 756830141, + 798893664, + 477720518, + 22590465, + 350606706, + 312238323, + 684776548, + 891999876, + 463169075, + 338929220, + 89238628, + 680649959, + 912525259, + 639457236, + 581358671, + 34934119, + 775984768, + 126770755, + 206889167, + 813169029, + 60214736, + 409773251, + 196067065, + 96278509, + 275308734, + 340349619, + 194613552, + 971293337, + 995810250, + 338880975, + 247763936, + 987653679, + 426756174, + 122870979, + 231373118, + 996072727, + 235927246, + 674223981, + 545851807, + 950423807, + 131154558, + 131991753, + 577893774, + 678235296, + 910375340, + 506819034, + 123142911, + 845483728, + 151148148, + 652397541, + 614162980, + 247028282, + 944425433, + 484933562, + 88854735, + 292841978, + 33001029, + 21789509, + 25878688, + 710188776, + 56324568, + 154095860, + 66748830, + 372052917, + 425421258, + 625249866, + 655729018, + 582642620, + 384172338, + 713381381, + 141587357, + 977408258, + 625306982, + 972149374, + 181679982, + 655260716, + 667642849, + 704903845, + 251286243, + 194413984, + 170869414, + 671916447, + 986511833, + 405639261, + 298448901, + 391375633, + 709412880, + 882317650, + 179145778, + 113420542, + 314586184, + 640970787, + 763092619, + 204395261, + 556246410, + 522919443, + 464553774, + 427901011, + 790024685, + 715882525, + 831115497, + 463852932, + 897274722, + 177123203, + 346526934, + 264068232, + 226777000, + 309844436, + 13867468, + 607736895, + 729225295, + 424406524, + 806361360, + 855906873, + 405534870, + 314155114, + 518447154, + 996036884, + 972311518, + 824116382, + 630835747, + 362262571, + 543659872, + 179028938, + 579170997, + 336015235, + 419070725, + 503730703, + 535746427, + 699304043, + 200628624, + 927713478, + 727817425, + 547564489, + 468145421, + 4133464, + 636265708, + 439391674, + 714428971, + 182913298, + 417981940, + 878774525, + 992062123, + 827139039, + 513029032, + 535293648, + 843850857, + 532885882, + 939014205, + 858293446, + 46479285, + 400000526, + 73140703, + 26932494, + 865609078, + 307075340, + 603423853, + 122207213, + 353026459, + 12658734, + 369026917, + 203782707, + 462476625, + 481922339, + 479619, + 198244407, + 205189706, + 628181064, + 180376190, + 84372409, + 368770760, + 554142694, + 542983709, + 207110326, + 589869267, + 135412727, + 504198280, + 22079371, + 150854793, + 26579829, + 983032256, + 877466270, + 929084991, + 498551314, + 710830070, + 741037931, + 7616842, + 424196730, + 707450777, + 82824092, + 792195659, + 448005487, + 834909916, + 728326018, + 598714654, + 653764889, + 64993161, + 252152643, + 380242721, + 723425244, + 548605430, + 936246969, + 883719482, + 277269277, + 805903179, + 600819922, + 762366049, + 838345241, + 85269274, + 780852527, + 584347352, + 743219695, + 625277902, + 616839958, + 111407861, + 328597203, + 392192684, + 109298049, + 125833704, + 210569387, + 561410819, + 398888164, + 634083082, + 295709686, + 867755764, + 371309061, + 17854404, + 440159220, + 701982665, + 172593180, + 823677615, + 664642808, + 587801367, + 540634838, + 336465454, + 855761506, + 437362804, + 757925876, + 853824597, + 378356367, + 259019047, + 211701426, + 123096159, + 139676256, + 17522212, + 102612022, + 648328699, + 864218700, + 642386094, + 977709750, + 981977755, + 614998185, + 680525736, + 781476326, + 360843516, + 703788834, + 841629128, + 199058263, + 8042962, + 904221880, + 668028402, + 166565743, + 34694694, + 367884111, + 5193822, + 400120912, + 622123518, + 73386049, + 648965074, + 258758758, + 471654376, + 771438145, + 182435344, + 268852930, + 351733834, + 864038618, + 941533821, + 258385857, + 130057268, + 181141433, + 980772740, + 758851052, + 797052695, + 68038475, + 681476722, + 158100693, + 864360180, + 932965124, + 264197156, + 605885009, + 14839607, + 49330576, + 87053757, + 584568357, + 105457064, + 495122156, + 657370344, + 18314956, + 311055917, + 304268322, + 760968931, + 242591909, + 673232358, + 863534557, + 172668770, + 579831571, + 908121049, + 368913390, + 636005736, + 329405762, + 280690146, + 713479131, + 771650235, + 254913936, + 210552087, + 928445753, + 374178868, + 269403729, + 70076725, + 657990415, + 793243576, + 625108762, + 45204702, + 757730860, + 277328822, + 53989575, + 625583075, + 215456836, + 196885320, + 459044025, + 336556594, + 867853176, + 188738354, + 659495314, + 890797224, + 901803829, + 713885653, + 824968837, + 145313905, + 262007654, + 875686844, + 310927421, + 432571451, + 653898364, + 944516994, + 746523208, + 40826290, + 535344571, + 825377623, + 84538257, + 486695317, + 173534289, + 179977543, + 432105520, + 152633613, + 336685204, + 279604749, + 350456648, + 737057640, + 841913751, + 100395845, + 73929560, + 197003312, + 874117379, + 960471730, + 579855696, + 318671658, + 771855599, + 72697019, + 996231611, + 197547798, + 979740565, + 572877398, + 601864058, + 572200364, + 606943061, + 28218527, + 46030173, + 907475291, + 827990109, + 6726068, + 978363915, + 676547297, + 961238129, + 908746528, + 512766604, + 894596885, + 484558993, + 384075327, + 355381270, + 99284579, + 346546529, + 139377338, + 855284628, + 167931921, + 728592844, + 470247228, + 720658303, + 656867092, + 95428784, + 199449355, + 768739012, + 777678793, + 958436683, + 251202328, + 721733443, + 669251354, + 578633896, + 936962973, + 715154642, + 805652515, + 55782893, + 370302316, + 632206006, + 242354655, + 204476990, + 835056945, + 775602408, + 163754038, + 879169823, + 703967833, + 824072407, + 214475008, + 641860191, + 268754809, + 216087289, + 718032366, + 142332701, + 632853481, + 702446963, + 891709951, + 731998817, + 422552101, + 81378710, + 764833875, + 42893122, + 556507053, + 172960947, + 381948299, + 651870048, + 228997248, + 94655805, + 141953309, + 526752259, + 966780751, + 54382969, + 441818321, + 708726472, + 434822243, + 196849113, + 457855871, + 716677932, + 189649829, + 785616454, + 271650559, + 608968629, + 534823594, + 277631945, + 348892618, + 368982089, + 81278327, + 578171494, + 171163307, + 605858308, + 7658123, + 252035000, + 338412282, + 352958728, + 592577704, + 543881897, + 475567987, + 951988853, + 823947663, + 605589186, + 696664882, + 733536734, + 575029327, + 144361527, + 145962741, + 948706629, + 83278360, + 998071795, + 388423775, + 268551908, + 261269646, + 456304881, + 518717759, + 511797652, + 508760463, + 270695064, + 461753344, + 939374715, + 802428202, + 329151151, + 896919535, + 497655896, + 99197650, + 390701739, + 719739813, + 941724868, + 162937455, + 627212545, + 200955675, + 467669991, + 762222960, + 20092694, + 367033599, + 852235456, + 568585291, + 672081508, + 790601977, + 538659500, + 4910189, + 304964195, + 449232854, + 692438695, + 356535554, + 400062149, + 679154931, + 101610113, + 50419812, + 989983486, + 890225574, + 448983223, + 446086620, + 140984043, + 798152241, + 223002946, + 466758863, + 571436833, + 414195847, + 756466135, + 26271420, + 31858256, + 623823185, + 535167443, + 634117383, + 858872597, + 829534080, + 609991327, + 988180541, + 694982124, + 826890053, + 438208015, + 309668820, + 573049916, + 629584600, + 127538866, + 279336908, + 406198592, + 923366307, + 907266738, + 413203799, + 634201689, + 764939975, + 770806209, + 97311300, + 139892086, + 172488527, + 827192064, + 910239084, + 496093112, + 441201993, + 497735624, + 981966175, + 370546844, + 405062807, + 349178179, + 127040073, + 693626548, + 112380224, + 571666418, + 125497826, + 916204312, + 456032504, + 7761186, + 79519658, + 642133932, + 742781731, + 415796825, + 320269282, + 505257783, + 221395408, + 553419679, + 485970390, + 499072715, + 992206979, + 116157302, + 777525034, + 161863411, + 719984750, + 896431964, + 276648333, + 930065072, + 851036374, + 944638175, + 742438202, + 332957063, + 764847456, + 213035382, + 880749427, + 224052088, + 336367312, + 725285002, + 267142809, + 108466341, + 76046913, + 884170691, + 746085260, + 251650795, + 14678928, + 231276287, + 891621747, + 564977203, + 135436711, + 842736871, + 432553014, + 127532906, + 824822432, + 294929893, + 585498793, + 301225972, + 232147337, + 873620669, + 512151905, + 251253832, + 707766032, + 784214477, + 896418975, + 941254593, + 295805925, + 18172893, + 973721530, + 247894268, + 247581952, + 94701548, + 854148113, + 95695244, + 626042576, + 621246352, + 157336174, + 205077955, + 997585113, + 350854897, + 770935971, + 619821000, + 24196814, + 407524014, + 39099211, + 439654442, + 99665796, + 376315825, + 892998546, + 606717552, + 911685320, + 313114622, + 950381865, + 746476861, + 310808069, + 981757307, + 289368292, + 124918720, + 293515050, + 379873180, + 979865553, + 198406277, + 447224294, + 986994929, + 144244665, + 831577981, + 881605803, + 812557879, + 776702926, + 336577920, + 429324137, + 519450189, + 579590286, + 577603943, + 544339022, + 410770934, + 850270313, + 175562519, + 571394754, + 121079984, + 798163701, + 375661735, + 392955211, + 289993703, + 479720925, + 730262546, + 924086800, + 151928756, + 507624958, + 625751897, + 687729792, + 289223515, + 182044357, + 115027825, + 37371627, + 671070782, + 410012270, + 413967926, + 811183598, + 256740992, + 584507147, + 682153269, + 657065316, + 587983135, + 264805251, + 894579924, + 790612711, + 251839421, + 425532724, + 908418620, + 449954661, + 245405846, + 739928171, + 479727355, + 535125764, + 605338935, + 336500950, + 74744004, + 413905083, + 478683636, + 408636008, + 485734405, + 753096786, + 156689850, + 813343000, + 640402878, + 3535181, + 787472952, + 699818323, + 765162949, + 531747374, + 540854872, + 994123221, + 411780778, + 840237126, + 242259109, + 178711743, + 572635599, + 233754785, + 151435636, + 397352333, + 478079435, + 450452143, + 704263824, + 99386287, + 9298028, + 363657268, + 746957255, + 919091990, + 235076884, + 746770991, + 106936348, + 534380820, + 837021316, + 473570052, + 591611174, + 697377279, + 239343647, + 934476997, + 559690249, + 526806015, + 855171805, + 386238491, + 195571360, + 626362064, + 683966693, + 96304749, + 321359528, + 456730236, + 755197914, + 491055641, + 676726606, + 833071212, + 53024307, + 771392003, + 240101495, + 824260265, + 788118047, + 45317600, + 888138347, + 265989754, + 768381614, + 686487678, + 880643651, + 276579806, + 728865620, + 829573025, + 452354428, + 532913863, + 589796442, + 576223610, + 894287703, + 382021422, + 268135238, + 695681677, + 487256214, + 633111640, + 210520699, + 617939043, + 121765745, + 653112440, + 403317800, + 437029127, + 147363346, + 32609452, + 805976762, + 368133348, + 675341664, + 770254911, + 986885018, + 483825078, + 558510489, + 489662433, + 576459432, + 862083822, + 460186208, + 574862669, + 584440296, + 555660488, + 218239757, + 978902721, + 416018519, + 981019233, + 354329165, + 582792143, + 261693965, + 769805587, + 632579098, + 738986184, + 370291507, + 782253323, + 980763129, + 18533537, + 983755178, + 500526387, + 797147422, + 81631120, + 622313918, + 803295232, + 451237892, + 964971536, + 526287144, + 757584009, + 765707906, + 928395101, + 928223383, + 841059232, + 121000150, + 592851393, + 845546070, + 906830568, + 16705267, + 540546212, + 982757919, + 50973281, + 246538160, + 807601820, + 580923135, + 612214016, + 454998415, + 264485217, + 359761171, + 856294564, + 734379740, + 978143555, + 599667248, + 639015199, + 340910893, + 229865339, + 427580556, + 252651300, + 655112807, + 514852923, + 142057283, + 350552396, + 276886127, + 71063149, + 565746213, + 312419984, + 136765522, + 340376232, + 114149069, + 600547594, + 445364207, + 562235387, + 581117370, + 72279753, + 378031850, + 865804464, + 340832190, + 263423759, + 704484490, + 727839027, + 189872265, + 154727068, + 767449037, + 554258323, + 229615350, + 121830625, + 591655559, + 55827857, + 446339301, + 361638968, + 201840486, + 430271214, + 151381882, + 301866342, + 804265686, + 842593820, + 213272929, + 274177725, + 892342313, + 973921652, + 95492985, + 43746362, + 728006905, + 219015440, + 227286134, + 612826689, + 656151473, + 635984146, + 864874211, + 828308681, + 195052258, + 461018227, + 492300035, + 664588194, + 902152648, + 282711396, + 379896977, + 966453954, + 575991070, + 655214723, + 100903574, + 583389662, + 88078801, + 722253646, + 476611436, + 413507733, + 952452614, + 360416936, + 305529697, + 315712376, + 399621278, + 941955210, + 363063775, + 363390103, + 817616595, + 674113191, + 985917391, + 503521206, + 29315461, + 946415278, + 584831861, + 693242548, + 982837617, + 300538316, + 201478377, + 705038472, + 777909086, + 79184164, + 767255931, + 51913775, + 558409763, + 895494228, + 13846218, + 490954785, + 241520683, + 997148516, + 841597144, + 612613929, + 351146621, + 2113828, + 335681201, + 881045117, + 573332255, + 118276468, + 677348934, + 853283362, + 544276066, + 964807467, + 678716356, + 309444766, + 834055080, + 565989280, + 379011552, + 96619258, + 856143607, + 730392256, + 387102201, + 269618656, + 572843020, + 356263168, + 239991725, + 149150716, + 756207502, + 230864260, + 582947557, + 71702718, + 738183866, + 124131287, + 719531331, + 611848744, + 662118805, + 990829274, + 917563586, + 723065527, + 241282159, + 750383785, + 244492157, + 870728585, + 519666209, + 789039616, + 597245339, + 761701, + 882838381, + 749343000, + 292844684, + 396240977, + 298575076, + 273148390, + 326938701, + 682193720, + 895846362, + 844140837, + 900079749, + 924515657, + 72577193, + 342126201, + 238450563, + 288932750, + 493612165, + 684428621, + 838967318, + 777643414, + 200242642, + 202199385, + 922200067, + 775868420, + 918740118, + 286681112, + 667747834, + 437362908, + 158809633, + 318356843, + 972332997, + 659639947, + 849187188, + 9853468, + 239144260, + 29235218, + 657281722, + 256411554, + 369308329, + 457750881, + 386384884, + 713251972, + 142214747, + 179394754, + 832431112, + 479092275, + 359627024, + 498349067, + 374443364, + 306573058, + 854199547, + 885416869, + 79570428, + 735582879, + 115600024, + 632304816, + 552462408, + 374941812, + 203533966, + 768811530, + 143218768, + 486571515, + 544752193, + 683739561, + 600373448, + 586781894, + 639589462, + 432985275, + 749578316, + 709262918, + 28996285, + 552881648, + 385916384, + 882020959, + 846861920, + 958476042, + 512665730, + 997043273, + 511288398, + 432773377, + 625365372, + 671569741, + 323440456, + 382424785, + 478417642, + 432372440, + 263120268, + 92874068, + 604233178, + 276920602, + 414863446, + 558186636, + 863317768, + 569141703, + 130051356, + 553383751, + 796668200, + 87568554, + 429638625, + 254074032, + 652796773, + 4529389, + 643978891, + 36253820, + 778820791, + 905877978, + 775937462, + 489001381, + 722140675, + 937978843, + 265737250, + 335856338, + 248161169, + 28509057, + 40030492, + 597770835, + 828167433, + 934115102, + 178341441, + 610009790, + 230999177, + 723449242, + 518813938, + 170927597, + 53979119, + 492441006, + 139995225, + 932089640, + 784480563, + 932201868, + 948670754, + 930977515, + 298588856, + 981552231, + 212421858, + 232941731, + 547764671, + 688886622, + 324855664, + 772870138, + 230590245, + 912964601, + 843717703, + 875459796, + 370079545, + 193743447, + 824708359, + 368678518, + 795927626, + 259316174, + 699299888, + 732892408, + 416933826, + 718452142, + 394944293, + 230880106, + 199810763, + 773752036, + 316316729, + 267554020, + 447727561, + 469940587, + 30071011, + 752277509, + 746587134, + 402210033, + 812375918, + 590966952, + 357431593, + 669425987, + 30603888, + 494454789, + 811404176, + 526969192, + 231344651, + 8293417, + 288755051, + 485708142, + 837909647, + 134143943, + 330432340, + 877662376, + 536578660, + 716308157, + 359504197, + 645472644, + 151109351, + 297022231, + 930673008, + 465823437, + 84902109, + 886106653, + 966374790, + 858633247, + 80297291, + 396610961, + 590718178, + 48276233, + 590139152, + 77926215, + 886959084, + 257198597, + 489921147, + 843229570, + 397933895, + 535482356, + 350857993, + 402280224, + 179767896, + 310255426, + 886760008, + 867362962, + 382972413, + 708948534, + 129527805, + 751994024, + 461940510, + 607167165, + 326349927, + 695510689, + 726228091, + 231945985, + 467185332, + 637980536, + 883925953, + 908876669, + 625830894, + 526541373, + 42253277, + 553348855, + 394576715, + 488355560, + 852995700, + 798077461, + 496452164, + 184405549, + 27631213, + 833260060, + 323367436, + 613388453, + 430145768, + 831275335, + 100528257, + 669829537, + 829381147, + 26036492, + 433656331, + 244664221, + 105731409, + 159494024, + 439293440, + 691177001, + 927886881, + 558880688, + 768949098, + 720733226, + 875077986, + 115826347, + 744024849, + 24253618, + 606111634, + 830513436, + 69478854, + 357947434, + 725832651, + 490196295, + 851122228, + 498633594, + 8064961, + 711186675, + 669108715, + 200416743, + 177395529, + 792035220, + 838908846, + 529870220, + 637696496, + 787788548, + 205180344, + 720474998, + 687110157, + 15909865, + 954191507, + 379893107, + 338164460, + 437675712, + 235690857, + 454361593, + 649258283, + 785160398, + 903721213, + 24506485, + 635747426, + 48789177, + 358083769, + 620892721, + 959403089, + 37666789, + 298611461, + 522759234, + 543209880, + 138029511, + 858907323, + 353558179, + 618549566, + 126858341, + 996009399, + 351332761, + 458187136, + 927843521, + 437818257, + 632928001, + 749915521, + 924560962, + 834679355, + 606480031, + 640830287, + 525966148, + 452722646, + 834655482, + 464428461, + 751165466, + 527257244, + 384827448, + 129596971, + 772990696, + 222837597, + 927785858, + 761027641, + 57584477, + 732831219, + 752349686, + 847660775, + 535995742, + 901607571, + 103013784, + 197789131, + 198027455, + 392418982, + 398199114, + 293629309, + 86104703, + 178500342, + 607566749, + 899123660, + 346072892, + 343773781, + 904389346, + 106856930, + 711982752, + 573042531, + 211660564, + 214152083, + 757893636, + 26644069, + 345149901, + 64099700, + 583419772, + 938871244, + 885471394, + 210805774, + 252794491, + 972052642, + 196047784, + 199349164, + 391785697, + 938272653, + 163092495, + 261593225, + 81258106, + 414632129, + 790811962, + 839934427, + 69947310, + 12593935, + 329217006, + 26225524, + 929123565, + 121863496, + 747754577, + 840290803, + 796375643, + 296153578, + 72482784, + 465889261, + 352600643, + 630942925, + 163668371, + 207513289, + 240386659, + 259948558, + 138350602, + 93300586, + 690834593, + 546214070, + 43159143, + 929762280, + 778075546, + 423764416, + 928661929, + 846047748, + 710249953, + 573502245, + 203554904, + 943042256, + 337467417, + 585996627, + 453806983, + 843282735, + 401859555, + 599552627, + 966107919, + 62382518, + 715434079, + 648639233, + 977635795, + 807743770, + 96854359, + 975520210, + 118561201, + 855887780, + 228659867, + 845172092, + 378694948, + 756034278, + 366177518, + 724243129, + 484336806, + 520536274, + 380088158, + 597371844, + 563270615, + 750338252, + 785329953, + 253354614, + 907771131, + 893459253, + 804530142, + 882194288, + 359070463, + 338234278, + 107961042, + 519838258, + 183852379, + 65156270, + 416331369, + 856328686, + 273859488, + 98892591, + 296784789, + 788570652, + 342778687, + 542675977, + 580672885, + 275322258, + 187877474, + 448630918, + 82458126, + 987029974, + 822844787, + 156004415, + 171344911, + 219184907, + 615850785, + 155618397, + 863663881, + 539342044, + 221257849, + 321638357, + 133842966, + 889252620, + 716463185, + 620227463, + 864180442, + 768818664, + 112961522, + 880859051, + 607541536, + 748216033, + 917348826, + 100449066, + 534012763, + 41131063, + 387426391, + 41131549, + 457325764, + 296397796, + 691943940, + 384268490, + 880064598, + 255900122, + 281144472, + 762759814, + 607679373, + 348798876, + 582684885, + 726010886, + 755187214, + 109675553, + 196106436, + 136427051, + 444091038, + 238723644, + 734790106, + 836955134, + 632712404, + 928520278, + 804166017, + 53732783, + 643801288, + 668717396, + 713947865, + 42926925, + 27284041, + 433527222, + 559409653, + 319222639, + 507978331, + 96997509, + 383628607, + 485114135, + 179645336, + 217628509, + 153979979, + 684661420, + 358110671, + 88969439, + 945436681, + 620994494, + 713695100, + 367996619, + 617985051, + 485671926, + 411311734, + 263662072, + 309402046, + 365571681, + 518825031, + 725025794, + 106274994, + 257243039, + 339073066, + 856880752, + 241099788, + 77647896, + 284891500, + 70426411, + 423992114, + 693698071, + 97237482, + 540030537, + 986784637, + 305682110, + 401356189, + 577247208, + 749325541, + 838990545, + 554174551, + 174090104, + 329051919, + 553404479, + 511247142, + 175428601, + 813198975, + 724778302, + 255629980, + 408677893, + 599555191, + 265674183, + 428219256, + 361954225, + 39583609, + 345209898, + 323956872, + 286053476, + 482343428, + 580113904, + 870245049, + 792769699, + 760248826, + 488537239, + 849814242, + 173373971, + 261223058, + 387894663, + 689267879, + 3396297, + 525922710, + 934089958, + 84255851, + 415513480, + 99927995, + 271660144, + 215888196, + 74074580, + 403671020, + 146791905, + 23383816, + 709346609, + 750926671, + 752349985, + 864713893, + 698465048, + 891345893, + 570738870, + 701322581, + 432049711, + 453129299, + 526230029, + 52916332, + 145495373, + 835339448, + 294236847, + 364975605, + 933306148, + 875658776, + 122801809, + 155651500, + 61118143, + 957744542, + 936305349, + 112135580, + 80563010, + 167340139, + 194845717, + 71809109, + 943409895, + 606140720, + 562806049, + 74640241, + 988195753, + 634718868, + 424117256, + 2347901, + 588631659, + 363504482, + 552696463, + 474042911, + 788154299, + 162864101, + 164047742, + 266892662, + 742015651, + 102924081, + 235324453, + 507077598, + 238115929, + 878317149, + 829777437, + 197706637, + 629141982, + 563645090, + 573814216, + 630532458, + 579242232, + 597286121, + 679919573, + 395694932, + 11397510, + 822212276, + 133514141, + 303980944, + 371882828, + 247275763, + 395068995, + 359645849, + 864823228, + 514426458, + 851010121, + 389795733, + 109633470, + 775716368, + 768735834, + 652195701, + 37488111, + 328516579, + 653173753, + 25941478, + 140649306, + 649443206, + 424955046, + 753432972, + 63193556, + 913402064, + 924587434, + 986727538, + 213696106, + 999443457, + 825106759, + 869832372, + 782495847, + 284477591, + 552880683, + 666288077, + 812093552, + 820130978, + 977162096, + 392270060, + 435941714, + 812082044, + 620262747, + 680040496, + 706046172, + 819096205, + 890037557, + 872879652, + 584827786, + 498992363, + 403866714, + 75094288, + 787208234, + 276038463, + 336438088, + 366937752, + 686196365, + 287398310, + 87590654, + 215764361, + 273805552, + 140045439, + 819137444, + 300623786, + 714817780, + 73474220, + 913830231, + 873451617, + 683894181, + 707168056, + 418994292, + 945012416, + 398811908, + 92776778, + 547431996, + 816770512, + 740297546, + 281545844, + 228360459, + 480245523, + 867622341, + 116918754, + 545976060, + 506342895, + 136307285, + 217816559, + 583819045, + 328116516, + 534254772, + 605831121, + 984788393, + 649529062, + 671306911, + 164108016, + 586017063, + 215764167, + 589548507, + 261052570, + 688887947, + 9818077, + 750244626, + 850913858, + 354137735, + 988052783, + 18722694, + 901970747, + 570265941, + 24565998, + 575376838, + 120226663, + 693236349, + 504024854, + 187002771, + 688662615, + 319639972, + 496033462, + 794790116, + 534764117, + 224629244, + 776648010, + 448653974, + 541323117, + 30517724, + 376634134, + 784732472, + 649877103, + 942500074, + 296523965, + 668861307, + 721931306, + 536326567, + 569708049, + 1566966, + 319101118, + 504067937, + 699096980, + 850510000, + 299585846, + 837954805, + 768190302, + 843841566, + 443953946, + 98121215, + 4908962, + 112872374, + 684113028, + 101831955, + 344062399, + 861331562, + 863256995, + 780593114, + 764978981, + 417720048, + 384988742, + 260270190, + 729886894, + 334729786, + 134608672, + 144146049, + 403783027, + 251203262, + 746703317, + 613211162, + 271614460, + 433097652, + 586255066, + 602399977, + 40295187, + 765826993, + 362691995, + 197502442, + 870453789, + 62362106, + 855081159, + 844436002, + 435730044, + 312403215, + 223427065, + 49873143, + 896904327, + 2342153, + 521806040, + 943880807, + 847779253, + 370566870, + 31938760, + 323204774, + 952357305, + 474187391, + 989706548, + 407479590, + 59005963, + 904685512, + 779517599, + 856379682, + 406453270, + 512366196, + 274732853, + 999149410, + 637470284, + 579598700, + 470571016, + 21758437, + 928369826, + 460786326, + 495594648, + 126857862, + 635719301, + 325601236, + 820009842, + 153357873, + 746610568, + 307349224, + 392468222, + 703012968, + 222813311, + 709073629, + 668132804, + 277196569, + 636009502, + 553780343, + 721510160, + 174663883, + 41853991, + 264705115, + 695666580, + 507298996, + 236247944, + 632302062, + 449429224, + 526292323, + 363761000, + 386884378, + 982318253, + 835017606, + 608095545, + 904901300, + 200743132, + 701600001, + 389944478, + 339761422, + 946264079, + 15356580, + 831210727, + 592914280, + 644013205, + 187268727, + 858299727, + 828985921, + 1372943, + 310211569, + 341850149, + 639052181, + 895901079, + 999123407, + 209874292, + 626137427, + 529888343, + 492441905, + 878974555, + 353183936, + 904475733, + 802271544, + 839064190, + 763541577, + 987268828, + 350895703, + 545931256, + 243793436, + 402536458, + 416376065, + 370175733, + 882646692, + 563808192, + 169621561, + 424355774, + 208960658, + 761043268, + 636782377, + 281968537, + 871268845, + 149499454, + 510708406, + 835673382, + 896410393, + 899023027, + 155135281, + 950289484, + 652653874, + 476055598, + 164062438, + 74425368, + 379974883, + 530452831, + 517636586, + 940347489, + 559699047, + 310063153, + 958660236, + 714812053, + 675987472, + 399191827, + 804130950, + 400229209, + 10220646, + 326508746, + 770419741, + 75329810, + 539180346, + 712369291, + 5663874, + 856258011, + 316568476, + 605288650, + 986154435, + 642718347, + 603696769, + 737431647, + 938189478, + 153477720, + 72650991, + 58961813, + 355546877, + 195758483, + 515639216, + 912696512, + 765823299, + 775316716, + 433820389, + 550026806, + 720489347, + 994769848, + 660364685, + 522759006, + 5395350, + 792560882, + 223072425, + 906535256, + 628657753, + 900816908, + 206992543, + 339900342, + 782671071, + 136416944, + 202909920, + 986606497, + 503539440, + 925292794, + 952065065, + 17410347, + 647828592, + 353115253, + 740403719, + 296756580, + 123405859, + 11985581, + 905074295, + 232199059, + 323910773, + 713010752, + 415405310, + 647483927, + 808341987, + 816876421, + 47996940, + 556114397, + 600872578, + 429800149, + 147992232, + 969853116, + 31181429, + 659446935, + 278026256, + 914043974, + 822737684, + 491685049, + 832656042, + 479348855, + 215601276, + 439410574, + 359030064, + 864027025, + 439188979, + 541458695, + 142719501, + 584684884, + 826623249, + 419766591, + 186805577, + 961025725, + 129716907, + 445344886, + 232184892, + 329191603, + 94231161, + 156844334, + 700940076, + 308454700, + 557771707, + 60331659, + 961503083, + 699645548, + 460535046, + 785568491, + 464806674, + 904396830, + 493436186, + 186814067, + 302015248, + 59511333, + 770068384, + 965578614, + 169109416, + 207112189, + 361964701, + 22985890, + 778182105, + 656447422, + 585142139, + 970288682, + 507476774, + 495338254, + 321073107, + 125451049, + 884569493, + 502101160, + 768903283, + 837524695, + 578426669, + 261893209, + 185432458, + 154682311, + 345671068, + 93759586, + 2087734, + 943389717, + 360824346, + 3756632, + 298170633, + 428148185, + 680407721, + 814171095, + 568399900, + 462556909, + 579943388, + 289369542, + 414022249, + 123243805, + 902685896, + 722359004, + 121430, + 748761491, + 385789976, + 10209741, + 890773032, + 99020772, + 788506484, + 29768911, + 372370195, + 573118353, + 71349775, + 57559716, + 135387307, + 968528251, + 875735342, + 732054059, + 828465058, + 997006187, + 559840258, + 740194092, + 509125705, + 668974094, + 741254146, + 754120893, + 52546360, + 208858186, + 773274610, + 792685640, + 778475828, + 350830055, + 288491264, + 553022410, + 857223777, + 579666927, + 932474985, + 401159647, + 846319379, + 225932562, + 319425366, + 15378021, + 15542200, + 222569523, + 217897611, + 942050136, + 472802045, + 805557994, + 502138031, + 780267022, + 707434009, + 36588592, + 610858310, + 960359910, + 961597620, + 236337302, + 350532792, + 9479909, + 659072616, + 558608329, + 610256223, + 272084305, + 476200070, + 950105698, + 995318981, + 746880676, + 458574429, + 918395518, + 231991487, + 576277395, + 515731897, + 634179366, + 10082505, + 875563409, + 864355021, + 62156857, + 872336917, + 273993146, + 10745216, + 609172670, + 967905110, + 523936040, + 92961766, + 263961488, + 455834944, + 794033406, + 677448165, + 560476864, + 689750926, + 417025257, + 924725894, + 231241896, + 504426207, + 422710107, + 16396416, + 932706884, + 812702000, + 806404015, + 951825931, + 701466177, + 701066624, + 120142545, + 851167461, + 69932288, + 434507277, + 46451684, + 925211081, + 579420560, + 234873694, + 480716265, + 959647894, + 396014448, + 998573121, + 194458321, + 908322783, + 494890180, + 359701303, + 271039195, + 119422054, + 271297939, + 846128755, + 383523997, + 380778256, + 972080419, + 150069145, + 389424885, + 627810778, + 420464325, + 665615768, + 460336056, + 626652508, + 737667039, + 448282346, + 562709106, + 31492570, + 483483590, + 189550460, + 165183778, + 343767875, + 567919591, + 112306373, + 790069562, + 518116586, + 514850351, + 245880502, + 312488441, + 884193058, + 133932880, + 332135446, + 372387772, + 162168865, + 969692717, + 233922695, + 63071794, + 628533781, + 672416228, + 580198259, + 483386985, + 517536892, + 330587148, + 131683088, + 702105790, + 503558956, + 840033705, + 864989288, + 541113786, + 426211952, + 8458208, + 42884423, + 77502239, + 106822208, + 813380287, + 445828010, + 589881010, + 345608675, + 188448958, + 960711908, + 632534373, + 511628734, + 693037183, + 62539512, + 23446774, + 17854434, + 796943653, + 511973624, + 1660243, + 347241489, + 266314353, + 717768371, + 614484938, + 850261922, + 27357113, + 29029923, + 570166216, + 225131066, + 703886138, + 929840747, + 122257127, + 18209399, + 143727134, + 326820926, + 692639481, + 135938737, + 991443419, + 90906615, + 844171608, + 580544868, + 743773058, + 242940773, + 122147367, + 509035863, + 816118670, + 649188265, + 460280776, + 415811256, + 188273632, + 64199211, + 833736244, + 37513865, + 616653811, + 985081368, + 892839815, + 108321157, + 201486455, + 669137292, + 671180886, + 701496573, + 539368506, + 295619818, + 454077668, + 119017120, + 81179241, + 336039191, + 811489071, + 386180248, + 364633360, + 492683576, + 810109618, + 854490845, + 850585611, + 561688654, + 741400592, + 933001164, + 350836133, + 551515276, + 477410853, + 309534319, + 282432534, + 647950272, + 237788439, + 635359669, + 284618688, + 132922920, + 313113265, + 463529770, + 352768742, + 992780315, + 9174440, + 46625884, + 325177683, + 206088815, + 104079020, + 957318072, + 215634933, + 870526397, + 615591366, + 886461425, + 469285530, + 228717852, + 945467210, + 412478884, + 457170464, + 874931156, + 738365034, + 258764616, + 350180264, + 960651502, + 625974248, + 480231615, + 89003849, + 55408119, + 374487090, + 1960728, + 964199304, + 668779031, + 312663138, + 321455760, + 708037356, + 670710645, + 946219497, + 169077229, + 923243718, + 959648870, + 660292897, + 431209152, + 466527259, + 301036491, + 514621476, + 990185820, + 254190832, + 33518017, + 501482036, + 274412437, + 21311095, + 277249510, + 169769927, + 569909625, + 370473533, + 920949017, + 624474338, + 867031091, + 924073158, + 970669853, + 512375537, + 804813824, + 899950831, + 469158459, + 921412879, + 123969024, + 839160895, + 299996467, + 661993522, + 994337389, + 568958425, + 316497412, + 549100635, + 938132567, + 398107189, + 106494703, + 123453903, + 753255416, + 32383529, + 71053937, + 830483691, + 752035653, + 1936945, + 499464628, + 904791512, + 323374430, + 813507358, + 7726640, + 507498108, + 215948565, + 43282894, + 581396375, + 374363815, + 833994669, + 742223240, + 208176321, + 770820597, + 356036635, + 933182413, + 625821654, + 333061118, + 75386225, + 718772920, + 86520334, + 545972220, + 605834149, + 685436991, + 835009645, + 345413347, + 417629925, + 486755298, + 423548985, + 945904657, + 273880921, + 762967379, + 374162100, + 418323179, + 395379971, + 908086425, + 293524081, + 173018994, + 908234135, + 493429651, + 147073841, + 609638513, + 302209453, + 922057062, + 359456043, + 879922463, + 79035287, + 149373233, + 891742621, + 537543771, + 11092256, + 503523287, + 685089262, + 474555764, + 215228684, + 541902057, + 442016444, + 4019283, + 158700661, + 923528206, + 558994633, + 424354725, + 737664763, + 293375026, + 465801472, + 3318609, + 22412915, + 115750586, + 987697007, + 391772360, + 883236460, + 709075523, + 547128862, + 139546388, + 326059763, + 798967910, + 583960558, + 260416370, + 304380166, + 40209142, + 868612310, + 679884906, + 632137294, + 999006732, + 219910078, + 416704959, + 577878292, + 310105899, + 562780104, + 293093956, + 555485800, + 320353362, + 88359680, + 383148655, + 930582706, + 582713554, + 561042800, + 119760680, + 147032946, + 697703766, + 924301452, + 889944832, + 875288538, + 748462973, + 817430984, + 346786393, + 82633572, + 687820032, + 470648186, + 574470218, + 996205877, + 377896267, + 76864730, + 454248568, + 835513032, + 794710329, + 603923878, + 581744523, + 729587908, + 899205155, + 838214886, + 66129912, + 526015524, + 139415075, + 939761951, + 745021137, + 6552936, + 232239071, + 487923490, + 282582754, + 140887890, + 744828461, + 636406289, + 39452632, + 32585266, + 350601966, + 898598725, + 644432587, + 711275470, + 401193589, + 587040222, + 147724482, + 899149277, + 217649986, + 7881790, + 561374951, + 921219042, + 788329782, + 262995523, + 668264422, + 884804435, + 411357735, + 842459171, + 74734481, + 143702830, + 944626164, + 584006151, + 723274350, + 845856314, + 212493627, + 396753522, + 779609006, + 610027570, + 474061641, + 288812381, + 116219676, + 950717842, + 614825205, + 576347056, + 508085928, + 791855348, + 377696391, + 27988049, + 954727748, + 851581484, + 656590760, + 615312965, + 612612931, + 607052525, + 362550457, + 667061303, + 855044802, + 363712574, + 964748589, + 776410804, + 619843163, + 661967159, + 45868539, + 513827848, + 89610023, + 463433732, + 854749878, + 425975124, + 288142771, + 398052019, + 532426391, + 611975516, + 21705804, + 655471979, + 465805330, + 52126396, + 735533395, + 948633596, + 965138982, + 94716937, + 490230855, + 638341912, + 464137950, + 79594343, + 153641834, + 129919091, + 505092817, + 108095829, + 768491705, + 882068120, + 314141661, + 589604649, + 919395718, + 974015679, + 998293613, + 108767746, + 45958469, + 17015055, + 89255688, + 702416247, + 844854338, + 515807416, + 954811889, + 867612873, + 443170227, + 696670935, + 107287508, + 256502092, + 214362168, + 458743609, + 900791395, + 687518594, + 482092050, + 961462722, + 920747184, + 589402920, + 459968631, + 634415911, + 426965808, + 44346994, + 365608533, + 873665995, + 528599665, + 915805595, + 522968925, + 174367691, + 582573072, + 391209460, + 339580723, + 697485317, + 791387213, + 40604497, + 980411052, + 871918875, + 39697104, + 880723177, + 727589003, + 997090745, + 47724679, + 486481655, + 316510105, + 736022871, + 447640199, + 229766441, + 522976336, + 161072455, + 573205780, + 270560906, + 189815650, + 369931695, + 142246802, + 558293791, + 831702206, + 947116247, + 349675379, + 891200963, + 814668224, + 869123986, + 469841455, + 894306024, + 543517499, + 244277026, + 892705971, + 84874982, + 32168210, + 508838558, + 75923562, + 790903426, + 294456825, + 45530817, + 773332621, + 81099327, + 938988242, + 529282332, + 714835223, + 347483435, + 64452069, + 934924650, + 861360937, + 264474420, + 235091635, + 473870955, + 189303961, + 305618105, + 475995560, + 752714221, + 678157459, + 62428451, + 958007217, + 324656477, + 854152119, + 327678229, + 626472724, + 466456034, + 446212762, + 207345475, + 784261101, + 91628654, + 777539356, + 5908986, + 590266889, + 708333041, + 596762356, + 893388921, + 412807023, + 430674113, + 766606145, + 72960166, + 715832622, + 131360945, + 394073901, + 762307877, + 924081548, + 12192880, + 753486333, + 128716190, + 839223028, + 201002265, + 683166992, + 420240289, + 397542073, + 664411492, + 733765908, + 232353993, + 958386008, + 870002439, + 296895476, + 691351168, + 961619833, + 854560590, + 777758272, + 526631646, + 481810008, + 769128351, + 903883856, + 743663387, + 118717893, + 979494369, + 491606873, + 194080085, + 900703562, + 981684348, + 831786058, + 224483471, + 648603684, + 899182506, + 904256255, + 132139831, + 370912774, + 208337422, + 598966416, + 961486465, + 728652034, + 884283185, + 32193326, + 86465783, + 396099661, + 387096559, + 567232172, + 48561037, + 552519901, + 870910130, + 736973556, + 693088726, + 780585526, + 92447474, + 234126125, + 642280503, + 632997328, + 424217859, + 186746443, + 658938044, + 110704560, + 39604829, + 452838366, + 273087717, + 288618540, + 260647455, + 577226034, + 120338516, + 311424339, + 814783006, + 370516400, + 692382426, + 780415300, + 286074983, + 864718134, + 756981992, + 178018439, + 390495024, + 302192140, + 429391105, + 880437085, + 233239042, + 675171045, + 456855548, + 702009774, + 321718293, + 205347987, + 407074151, + 821908861, + 619874843, + 402401308, + 13596934, + 905996484, + 275634244, + 706257532, + 867550399, + 232616329, + 334919801, + 513872488, + 236232438, + 705058435, + 407812824, + 184968182, + 648528692, + 672974917, + 822083975, + 462670069, + 119346145, + 501550199, + 512009335, + 236102315, + 869529336, + 198610960, + 534594135, + 607296974, + 989781088, + 962044943, + 692821728, + 403948549, + 644578728, + 343740146, + 587002124, + 308903028, + 984023112, + 837443123, + 470391871, + 772610545, + 126522670, + 686277750, + 250267334, + 618201702, + 451126038, + 880011797, + 947088248, + 261036184, + 484551532, + 321113294, + 189466420, + 256746588, + 946760889, + 845759000, + 79541145, + 797949892, + 829685687, + 27871240, + 910024992, + 186075914, + 959397314, + 132761847, + 578724021, + 232875247, + 474833064, + 65958179, + 301205556, + 466237286, + 162842224, + 673848515, + 920364999, + 267343835, + 78245226, + 137577656, + 984680998, + 87860886, + 794688742, + 696533307, + 83028599, + 472844167, + 812894716, + 760457114, + 558044161, + 70696653, + 67938471, + 164216664, + 52731757, + 69655294, + 526876510, + 45121267, + 167886388, + 960711502, + 148186371, + 373272605, + 443690307, + 78029979, + 255511044, + 440907506, + 473811877, + 61350531, + 284357057, + 688946012, + 97462154, + 324745797, + 754948357, + 970647251, + 223579094, + 579364243, + 647346161, + 510740952, + 970257450, + 409825670, + 934767069, + 778221004, + 617132070, + 381328017, + 102017509, + 634298269, + 80247832, + 977354757, + 245373831, + 736097326, + 836156089, + 643783558, + 984965546, + 406417065, + 115304155, + 209268929, + 398865683, + 521731308, + 489666427, + 325015189, + 723057274, + 813590763, + 93900132, + 882904650, + 768604618, + 297716884, + 268161410, + 470152329, + 770061657, + 28454420, + 927119836, + 308077135, + 287625417, + 364351011, + 422883215, + 417042843, + 554299493, + 855164678, + 103061724, + 876560452, + 836960026, + 230013227, + 723329863, + 836832832, + 317236576, + 181855355, + 532169448, + 168018599, + 194626148, + 785032330, + 491368709, + 31086564, + 585801173, + 955845904, + 877862538, + 323824068, + 485220785, + 109002597, + 120144860, + 136036714, + 783940990, + 196379089, + 981895364, + 891620800, + 307576176, + 468260365, + 172709910, + 965030130, + 187661845, + 540743103, + 270104205, + 476261786, + 427407206, + 43099955, + 385519187, + 579355310, + 931703169, + 452334862, + 292890241, + 828910589, + 109061134, + 595523061, + 790786166, + 359888074, + 693712366, + 137877462, + 302533005, + 806711258, + 474337016, + 196121186, + 22596802, + 685616802, + 624416393, + 789189998, + 927958211, + 33424249, + 958090756, + 229527197, + 549636481, + 28722855, + 236040527, + 629233696, + 611746656, + 901808916, + 254232292, + 337962914, + 461669513, + 417067485, + 629554184, + 304984283, + 338249709, + 658076372, + 979113545, + 932999739, + 587728607, + 867664171, + 630193875, + 383384507, + 744242553, + 571118451, + 657267577, + 15480770, + 921448383, + 532178110, + 531498418, + 709102513, + 478079892, + 712905102, + 967107567, + 887048171, + 342108648, + 669371768, + 417858336, + 709733922, + 404002423, + 990542159, + 654989328, + 617929516, + 553066013, + 193558655, + 458947544, + 904839348, + 302226479, + 648606920, + 979390301, + 586936597, + 49054229, + 218535926, + 811736080, + 192002852, + 102087691, + 774093919, + 622383934, + 573980173, + 269746643, + 29991811, + 252665563, + 706415447, + 293388706, + 480286700, + 671167998, + 630478240, + 975520894, + 287295947, + 446318360, + 359470573, + 569640314, + 322522167, + 622265103, + 739319095, + 745701199, + 102510055, + 887475444, + 653525088, + 715651175, + 440186634, + 750603908, + 762237398, + 987799332, + 358669001, + 857541490, + 753847489, + 642775326, + 778227475, + 357191066, + 2407189, + 902878687, + 57199604, + 689043255, + 955535146, + 108574322, + 409681345, + 627465531, + 869235679, + 421335134, + 155633150, + 813770746, + 185159007, + 359470954, + 406469836, + 461431503, + 622390959, + 880274209, + 814553050, + 787639416, + 273895743, + 19884772, + 967816742, + 536773417, + 692731340, + 207626197, + 249340210, + 327446501, + 995242291, + 965828267, + 57620022, + 50287427, + 851008086, + 277234616, + 261616682, + 773457611, + 413141091, + 214836151, + 185693232, + 767513205, + 193833357, + 81136524, + 460191867, + 171457078, + 858339248, + 762476926, + 948617816, + 561763884, + 153850043, + 709467743, + 24086144, + 299996937, + 973860038, + 881356291, + 326352553, + 443620794, + 772273541, + 370987241, + 205469758, + 680962261, + 82724141, + 298608385, + 937033670, + 310076899, + 489297858, + 345590444, + 447879203, + 423810194, + 935553213, + 552773341, + 892167819, + 538131808, + 169008269, + 556174282, + 989318981, + 495041915, + 738567955, + 11051833, + 477395738, + 814061508, + 198488098, + 303212811, + 715372176, + 769502230, + 655117530, + 604740028, + 567396579, + 990068245, + 257102951, + 124193773, + 25787815, + 466758572, + 281961845, + 205057337, + 896964619, + 211731888, + 906610892, + 101211009, + 508285921, + 672868106, + 392359849, + 35195822, + 914895285, + 883391557, + 778111240, + 926131450, + 353729397, + 525236003, + 467554805, + 33404374, + 821638195, + 420634775, + 532499639, + 990679527, + 275282799, + 99180736, + 275608512, + 896023728, + 353640894, + 743455518, + 342040096, + 849154546, + 479273416, + 212405061, + 414566780, + 254083479, + 927681605, + 41049914, + 609939861, + 79237546, + 777896549, + 941128832, + 97791358, + 924592181, + 299873212, + 529429681, + 817354240, + 503840368, + 99448296, + 493134631, + 6885185, + 937476333, + 462726403, + 983263402, + 86930555, + 202217113, + 603779233, + 524973265, + 405383974, + 911102210, + 22452567, + 303420818, + 90432373, + 591168781, + 632709307, + 407452552, + 73960574, + 76615808, + 880514188, + 734230164, + 778713946, + 515020281, + 72377740, + 83496866, + 992753020, + 525913557, + 2093640, + 610939829, + 38344002, + 447372354, + 638195162, + 16660958, + 121403183, + 949776221, + 551176826, + 892819572, + 428826742, + 387479432, + 797392705, + 189206693, + 834683583, + 906113991, + 536397382, + 712951348, + 21458099, + 286505608, + 144861903, + 177637613, + 395388951, + 943159326, + 372864832, + 362630968, + 111948849, + 122344374, + 670147933, + 768362532, + 18587688, + 620466631, + 802655608, + 428879680, + 232523594, + 926744339, + 369930068, + 983906680, + 167796080, + 454554358, + 134382008, + 452483109, + 189057923, + 109831637, + 715568116, + 649306011, + 348891761, + 681966771, + 856221780, + 22060550, + 706899, + 269863653, + 963177190, + 309924100, + 101310241, + 516100583, + 34822825, + 186971465, + 176169728, + 891757332, + 195017813, + 723811898, + 235300878, + 182123291, + 351894705, + 975289636, + 555746340, + 518074107, + 949450240, + 307967536, + 949375002, + 352166447, + 82998965, + 422142107, + 935925977, + 899002335, + 304439943, + 105909155, + 936514426, + 53929951, + 932416519, + 81517091, + 503779714, + 34123452, + 195444947, + 61850243, + 168533451, + 616370423, + 623981088, + 771792635, + 902466331, + 425156494, + 145991807, + 15441962, + 230119667, + 595729082, + 555485843, + 792397514, + 36206209, + 510349624, + 890449064, + 739438341, + 4757924, + 752248106, + 926216804, + 111060372, + 794172031, + 689524697, + 301907753, + 855003751, + 325962497, + 643730347, + 676705149, + 126983754, + 393884257, + 895861942, + 290380463, + 473759791, + 901875069, + 859832944, + 141437648, + 872224071, + 245725313, + 860888251, + 689392876, + 786466075, + 235834589, + 184489494, + 675694603, + 102349506, + 826302814, + 100225002, + 34398985, + 174577697, + 22767812, + 56178237, + 827226525, + 385383460, + 648902953, + 632478463, + 188427667, + 119979958, + 501732383, + 799723639, + 910291867, + 722567280, + 309188479, + 175682078, + 939607097, + 837522517, + 735424083, + 961901704, + 705355349, + 496961041, + 297883443, + 44779246, + 975533211, + 404868117, + 438260458, + 423780221, + 382952267, + 265547020, + 205090589, + 669348972, + 618319271, + 710375903, + 385452414, + 64898165, + 66202067, + 629445427, + 354472116, + 202148204, + 705326601, + 563864185, + 851039856, + 278120412, + 160495780, + 763543378, + 962577368, + 723857424, + 855810033, + 326496982, + 477279337, + 524437371, + 533689243, + 895129137, + 142153064, + 198798511, + 238008706, + 366359797, + 544343729, + 879607889, + 588615328, + 306126683, + 596773421, + 708404102, + 495400268, + 528629936, + 514915680, + 422971170, + 169417639, + 433529269, + 232197246, + 302341245, + 465452518, + 690708649, + 98840167, + 82780958, + 481692443, + 866100781, + 936710178, + 257200011, + 769156970, + 930368958, + 354434993, + 165891451, + 856449825, + 735453482, + 212595512, + 52490667, + 237996394, + 251610577, + 131883269, + 658606444, + 284203299, + 990788003, + 990443448, + 662611395, + 496263920, + 843100770, + 173074355, + 682673766, + 992169557, + 723560930, + 997505653, + 221945393, + 720172440, + 750203316, + 532056869, + 261409517, + 674894055, + 8281486, + 950083598, + 561567742, + 705542104, + 603104293, + 36625302, + 282028353, + 111836018, + 402096645, + 256376816, + 724178197, + 534408803, + 197161675, + 417140877, + 66021011, + 13871079, + 142006862, + 382397126, + 372678129, + 900622761, + 979488712, + 883538954, + 146141136, + 992037399, + 940085732, + 81450919, + 34738385, + 617690481, + 611872320, + 342616799, + 499417603, + 940771935, + 823548276, + 624852964, + 770731074, + 864730537, + 920291644, + 206892658, + 283618714, + 984324735, + 696569932, + 281921452, + 682822724, + 2795194, + 34810474, + 222490679, + 961546016, + 991819821, + 855125163, + 880339363, + 517488829, + 791528584, + 749027990, + 792566233, + 769911885, + 723789195, + 404376358, + 212689279, + 610199926, + 364574782, + 291635406, + 26163603, + 682867016, + 875413436, + 382178577, + 953956264, + 958721727, + 676858449, + 345502209, + 976529581, + 200218275, + 175581840, + 874812727, + 251398992, + 403252093, + 875169315, + 129779719, + 330388847, + 446643431, + 665113210, + 152941233, + 317146098, + 813243727, + 582157270, + 107477229, + 823832434, + 536992229, + 250734729, + 952250109, + 611959332, + 917921866, + 844658586, + 522874907, + 735358626, + 392565517, + 128246887, + 671219261, + 231324543, + 816176624, + 822431600, + 439409188, + 812122073, + 225550610, + 99320405, + 811877578, + 159536767, + 31818105, + 176597298, + 481713269, + 107329749, + 665108604, + 601030234, + 375907162, + 741775157, + 914292733, + 730797841, + 516785669, + 639790066, + 249120862, + 497501951, + 970137697, + 442079827, + 486569637, + 247646436, + 922699253, + 132219861, + 985956821, + 347174828, + 117894314, + 12686666, + 584546283, + 489802973, + 85456780, + 365969648, + 421462787, + 945980925, + 454099501, + 270905241, + 578628530, + 116718721, + 237250634, + 251503819, + 186670007, + 558534433, + 158041951, + 127942755, + 574817521, + 92149688, + 378373628, + 678877240, + 417008095, + 2526207, + 15029807, + 810502152, + 885501486, + 646165360, + 180092205, + 907311749, + 808499453, + 637890286, + 583238084, + 222752945, + 337030627, + 5304346, + 212634516, + 178057209, + 137449738, + 941812020, + 278729643, + 377995705, + 638582856, + 199157688, + 328677867, + 811334644, + 621891679, + 506939960, + 714684272, + 271463928, + 792478894, + 377252730, + 839991211, + 747202265, + 354044508, + 680281853, + 911402325, + 995188298, + 452885271, + 861605340, + 534865357, + 293795026, + 415085564, + 830575817, + 269568158, + 929045668, + 551739070, + 587253212, + 138494099, + 432439069, + 518199773, + 499244291, + 342489911, + 513497367, + 945724216, + 490095681, + 862629541, + 268390083, + 244037632, + 654571641, + 971210629, + 828816383, + 371676373, + 854374569, + 2869277, + 388777822, + 315626881, + 187614999, + 635646108, + 885887990, + 626717155, + 165786258, + 20599600, + 674058504, + 302410008, + 993938880, + 980213513, + 57790096, + 396592703, + 333278168, + 872593392, + 55488766, + 732878777, + 542014469, + 11468969, + 648818554, + 862291123, + 879916599, + 711022849, + 329675767, + 35901718, + 911321791, + 137412405, + 906347224, + 80634320, + 256432804, + 51522444, + 243527183, + 308460088, + 483166184, + 617060655, + 205814466, + 685840867, + 399014135, + 154822264, + 233014577, + 814869690, + 299458436, + 435568159, + 467161225, + 429544245, + 216424621, + 363644283, + 531746539, + 705512708, + 37928949, + 853653392, + 954345158, + 172994014, + 901746159, + 536854191, + 379049000, + 337733685, + 117906935, + 228936283, + 362518951, + 517748704, + 984834065, + 68277825, + 310009757, + 748634140, + 621018932, + 490686775, + 787240081, + 253217229, + 146211032, + 235998382, + 600594953, + 368357038, + 628390342, + 426250316, + 373115086, + 471593720, + 915905440, + 159497932, + 383469235, + 6468337, + 300793392, + 669302956, + 724834517, + 276521188, + 353860599, + 862887760, + 558926611, + 860112753, + 729148275, + 573618883, + 612107229, + 574889468, + 271446905, + 62524775, + 283652102, + 33338281, + 260452490, + 358370265, + 596857509, + 52979516, + 359689314, + 195835867, + 6619121, + 202910036, + 304426560, + 786469291, + 842697200, + 935629786, + 917978183, + 819751326, + 52882003, + 573084174, + 521561474, + 655884102, + 127963562, + 509193377, + 538383740, + 743729651, + 372262289, + 894297929, + 767148921, + 100802334, + 741186734, + 286686576, + 686263711, + 42014138, + 55050538, + 362866173, + 672397011, + 104489291, + 483090117, + 535789899, + 106774516, + 753322394, + 141066064, + 171569897, + 764202277, + 957267156, + 53004148, + 300080104, + 483361232, + 110074521, + 337782114, + 208327892, + 706680373, + 846581444, + 870631560, + 766141469, + 327934593, + 781629719, + 923444372, + 539522788, + 693843671, + 688045937, + 558416481, + 760394345, + 556117394, + 24624384, + 933632268, + 486466837, + 493444902, + 615358410, + 54936404, + 977664610, + 603170610, + 371422861, + 273726529, + 388590030, + 354123509, + 852994581, + 641381817, + 36537772, + 221862024, + 971962572, + 224856563, + 616189961, + 772434268, + 372924159, + 200009835, + 906134615, + 49420985, + 284641378, + 878461777, + 712231071, + 703866115, + 769873013, + 656126363, + 456894889, + 638971732, + 165274267, + 144925967, + 155470202, + 800340758, + 399262268, + 640714023, + 219669411, + 874273032, + 564891859, + 640826567, + 388464019, + 773042360, + 177646473, + 747448653, + 864527343, + 915284205, + 760598877, + 841672427, + 385694550, + 794524321, + 372153736, + 225950158, + 10701377, + 787679039, + 205928828, + 254882384, + 842287878, + 734159049, + 365291092, + 701401208, + 948825540, + 795037996, + 560710245, + 447140723, + 768422441, + 842075531, + 434471668, + 522530934, + 108648300, + 83896146, + 324766437, + 491917879, + 663038118, + 475644313, + 215039367, + 962916939, + 461580376, + 40379745, + 495218671, + 682745319, + 284069834, + 792819469, + 149115036, + 949223458, + 739249098, + 435596598, + 338477860, + 476243182, + 801609340, + 424628122, + 262457868, + 15934341, + 254096529, + 978402953, + 423935479, + 689644008, + 639974467, + 270084537, + 976374796, + 580417004, + 195856071, + 286254387, + 638027332, + 944671904, + 23403372, + 43615334, + 31296647, + 122821281, + 821800358, + 933743955, + 33029713, + 696921644, + 157258897, + 548523983, + 921245975, + 381037536, + 590522620, + 638732044, + 404589832, + 245292619, + 317092398, + 442336393, + 451696173, + 608917625, + 273937344, + 155228634, + 744171917, + 368896844, + 710323045, + 19127964, + 561417302, + 112630192, + 591000058, + 295934237, + 211855288, + 550415625, + 523708585, + 288615266, + 940615312, + 564922165, + 947632132, + 789955743, + 466643611, + 23280546, + 407972314, + 382458346, + 719296642, + 705010024, + 303797864, + 49024495, + 117099454, + 966991442, + 715688799, + 364912007, + 849445654, + 46242070, + 212571519, + 17852092, + 97098161, + 366639947, + 532780218, + 836671222, + 954990327, + 410192345, + 984184240, + 232119842, + 948368911, + 851453197, + 505855443, + 138905267, + 937745585, + 61619128, + 722981163, + 380851000, + 393603395, + 567610653, + 590979738, + 195980178, + 926384477, + 982788821, + 623972193, + 433183152, + 416758874, + 59440471, + 644095890, + 826905916, + 773734007, + 317570183, + 384107287, + 269730941, + 59580786, + 156958716, + 857326074, + 674066720, + 227076936, + 446446917, + 451530867, + 60414125, + 309835870, + 84768491, + 885465319, + 107317810, + 998059621, + 553150046, + 534414351, + 314473380, + 106407765, + 340935174, + 250396294, + 272018724, + 628784043, + 942183150, + 59484174, + 158731507, + 159867528, + 977558259, + 258661424, + 284417508, + 384872119, + 973602246, + 572048636, + 683095150, + 147214583, + 70005093, + 986039017, + 374792464, + 970910853, + 858271677, + 111162411, + 182714050, + 440331783, + 302236798, + 103806354, + 275234449, + 830175676, + 113125319, + 509594188, + 640391253, + 143356463, + 561842589, + 588875767, + 496178274, + 356916799, + 389437263, + 742656768, + 967991926, + 567823143, + 189235863, + 291227893, + 661708015, + 986312762, + 602418279, + 355058743, + 111662131, + 271939823, + 425547858, + 678012078, + 502853605, + 963117209, + 47872358, + 170283034, + 707915402, + 94092180, + 150340294, + 101809703, + 587779651, + 718980732, + 924281151, + 145345923, + 649360238, + 471636622, + 732802533, + 561443503, + 255762077, + 310208874, + 26675667, + 315316371, + 692846619, + 663196980, + 706761706, + 760239090, + 462497832, + 461463235, + 685094083, + 848688834, + 453537354, + 208765702, + 842978652, + 425802336, + 419525713, + 641333403, + 606263425, + 309188327, + 932729601, + 394982417, + 558398467, + 688930700, + 323966397, + 800636683, + 534780685, + 73609921, + 25424632, + 635777570, + 830202001, + 745951135, + 521234131, + 328828021, + 288037277, + 923115308, + 229311398, + 11706556, + 431219124, + 888795225, + 451732703, + 904506959, + 238489949, + 58625107, + 14266884, + 847481585, + 281787457, + 51506424, + 188648674, + 643834131, + 665072711, + 776981408, + 598610086, + 306634814, + 845921377, + 561067049, + 227754108, + 918617670, + 394191717, + 792935146, + 853330001, + 877291060, + 488049098, + 686646812, + 756281901, + 956416453, + 797979234, + 958384397, + 799694888, + 275754440, + 819365265, + 861760012, + 544184076, + 481224145, + 171546998, + 848755816, + 509116060, + 146984606, + 538497366, + 667920810, + 687001732, + 921631087, + 955363037, + 463225506, + 848202417, + 749746887, + 397250619, + 607839247, + 916129362, + 565748590, + 982276772, + 202645499, + 354435405, + 584944154, + 19782531, + 352893674, + 493188668, + 5697558, + 780126303, + 907728490, + 979923954, + 747687192, + 780758173, + 582210240, + 545432774, + 25068245, + 100880723, + 577050836, + 765771517, + 467716249, + 667647737, + 542208791, + 235014903, + 187049310, + 474053278, + 254599581, + 148298967, + 114598714, + 338593013, + 223523790, + 481551496, + 789431180, + 882850529, + 923440130, + 430548143, + 691519979, + 463358910, + 157964398, + 414602593, + 986297993, + 12816364, + 978511269, + 891917067, + 50470828, + 733672589, + 824992740, + 486269480, + 470240495, + 900585518, + 722239526, + 996614283, + 459093322, + 165844410, + 765235429, + 391658125, + 781742215, + 45856623, + 773874153, + 804710366, + 113324183, + 740304899, + 599843232, + 701408084, + 191750911, + 841232048, + 349001373, + 468717157, + 335998325, + 786475315, + 917700002, + 470234063, + 350402095, + 398526196, + 514664312, + 37004936, + 115896903, + 172309654, + 950396232, + 981303078, + 135086078, + 395993337, + 909604398, + 936952338, + 463751089, + 242581460, + 783840975, + 497988886, + 607874299, + 761194661, + 866472974, + 986519694, + 803257195, + 713713148, + 410193292, + 308525673, + 594731310, + 474021236, + 959853062, + 962922785, + 39594272, + 54385165, + 193317839, + 599516771, + 476517425, + 638032124, + 415177512, + 427825443, + 869493855, + 14578512, + 378560997, + 636873316, + 26493504, + 154570418, + 344791121, + 112109658, + 959516590, + 438361717, + 310686124, + 581837481, + 198753779, + 216890896, + 700611758, + 922977764, + 311134203, + 20308982, + 201656177, + 771317938, + 169898324, + 362911544, + 119840309, + 789289905, + 989786118, + 226528978, + 831574997, + 764307895, + 462665964, + 260101334, + 580749785, + 948911500, + 356587899, + 89647430, + 527828260, + 626676957, + 410393184, + 996424829, + 19267490, + 946298683, + 329630343, + 679610121, + 516974884, + 197164269, + 348602528, + 205917177, + 680038116, + 22253275, + 663162864, + 644434597, + 597149073, + 938059938, + 96771311, + 404408092, + 734917191, + 762408285, + 947707484, + 888620072, + 276040982, + 176553345, + 565485343, + 734675295, + 995110196, + 158556740, + 622155832, + 800275645, + 650062653, + 262252396, + 791168285, + 986942902, + 833469806, + 118893738, + 776787597, + 859882149, + 39757659, + 58415360, + 546574672, + 11737664, + 637661015, + 190955110, + 393437450, + 474259696, + 843672680, + 81260898, + 930188990, + 503095958, + 518370425, + 719170188, + 43571477, + 640246812, + 211166442, + 945472953, + 769079613, + 612760126, + 155411524, + 35454536, + 97874301, + 721943741, + 688427166, + 642594017, + 311096169, + 948894694, + 389550709, + 110541446, + 846199486, + 134607612, + 406085254, + 574278314, + 156169343, + 190869291, + 388855766, + 497980521, + 363713391, + 268082469, + 229370348, + 782375734, + 955349973, + 132748708, + 899543888, + 619254487, + 549321102, + 718340635, + 247933009, + 772653783, + 884464779, + 148781054, + 714133122, + 192256467, + 889683756, + 172740959, + 263308912, + 964642982, + 316373887, + 57018463, + 897392175, + 209607107, + 533062583, + 88517822, + 102213546, + 418145984, + 987296368, + 757221485, + 752009338, + 897931079, + 981809619, + 641583511, + 347262049, + 878485321, + 316513158, + 70868431, + 391170428, + 54749347, + 264608408, + 192386638, + 709065930, + 502054911, + 409518219, + 504899727, + 464679050, + 974462207, + 311435715, + 434352913, + 698221686, + 587094183, + 15566057, + 734679500, + 481451196, + 6265739, + 981495785, + 365846878, + 54577138, + 759917571, + 823261541, + 20546776, + 368931502, + 199839501, + 95952209, + 428762441, + 750209556, + 48560259, + 725129062, + 780598800, + 613395246, + 901794021, + 318640119, + 42337317, + 130324245, + 284636646, + 971476124, + 415160554, + 778950188, + 666393682, + 690335077, + 589593341, + 365255238, + 904430553, + 726475096, + 257735697, + 727336783, + 402718151, + 98852681, + 229275990, + 618377982, + 128492888, + 557091995, + 832238376, + 134612862, + 832798295, + 507787868, + 53559650, + 685541235, + 695569728, + 295806261, + 644912833, + 920351560, + 201029361, + 803430816, + 941839950, + 201126249, + 517359766, + 400914932, + 988412115, + 275094075, + 462224447, + 949662390, + 875067186, + 753937356, + 275739024, + 548473403, + 145652518, + 649287905, + 837272741, + 413297558, + 700676613, + 730699235, + 210057998, + 481461600, + 566399941, + 524940182, + 856863611, + 744688296, + 617459822, + 827431035, + 763632730, + 831787650, + 94090438, + 240680867, + 453280563, + 75544045, + 111159857, + 164638788, + 916317593, + 435623829, + 793649563, + 881600237, + 398143727, + 859301724, + 111534455, + 81050918, + 154900304, + 435766338, + 892779665, + 573285926, + 108561330, + 616432907, + 637404458, + 747105472, + 118835413, + 652288492, + 826175611, + 668183033, + 26040151, + 669686400, + 872586840, + 227881125, + 648325404, + 659843825, + 218509900, + 629548075, + 260785028, + 535338649, + 893904532, + 522821741, + 877628126, + 282827503, + 570254615, + 568303866, + 919817294, + 988498328, + 614425557, + 43459060, + 623503500, + 664627032, + 636303328, + 846601150, + 197334938, + 526310684, + 619049058, + 789060025, + 686637563, + 867850112, + 154139784, + 261720116, + 35831544, + 721463940, + 161369224, + 780775980, + 697414629, + 145547088, + 221230954, + 153687793, + 469588504, + 978148441, + 50048980, + 117019186, + 274831128, + 255191748, + 604300245, + 524045461, + 880688992, + 541303925, + 235393700, + 868264109, + 750989643, + 393801159, + 838425660, + 627770641, + 765059226, + 183285887, + 828393977, + 587358077, + 407005805, + 755346208, + 344145447, + 330245966, + 653277952, + 791037848, + 480469963, + 990525261, + 165129978, + 129342904, + 435802014, + 908584743, + 31229286, + 33333853, + 659522029, + 948967107, + 926033323, + 356766237, + 681467201, + 672673775, + 194542944, + 9624188, + 554499206, + 683909176, + 658915424, + 330252267, + 672478137, + 945779009, + 993872159, + 721577635, + 676148650, + 552185018, + 918372895, + 140628262, + 727753714, + 46780573, + 663134934, + 601998410, + 741297441, + 79385187, + 257136217, + 247488653, + 14425974, + 986149050, + 932169123, + 976451676, + 215650991, + 280702372, + 778357313, + 973218874, + 70145232, + 591122301, + 106638860, + 82259984, + 630943819, + 308341727, + 658687739, + 67419299, + 340396609, + 326371351, + 894640391, + 904804662, + 944888383, + 407138456, + 224174219, + 782447273, + 975533514, + 808076619, + 333414274, + 621647827, + 960023131, + 806741528, + 198514958, + 482309024, + 831122759, + 779010018, + 214320713, + 502431488, + 393805221, + 862240704, + 802495452, + 231605508, + 652450847, + 69475894, + 66104521, + 374395856, + 378890881, + 592964851, + 148855116, + 214377296, + 93311165, + 710487487, + 958673078, + 164315687, + 873975138, + 162089425, + 466077831, + 894907222, + 244817896, + 453436180, + 785586484, + 808555297, + 368831538, + 46404247, + 966605528, + 198230080, + 87039385, + 919810160, + 199566146, + 583003047, + 505762735, + 940318827, + 387384971, + 531240650, + 163464159, + 673613533, + 206305521, + 116821597, + 425084142, + 636437447, + 325260380, + 92478291, + 466428575, + 331684460, + 511303054, + 83371744, + 945411808, + 451863638, + 998399487, + 549042416, + 195588184, + 41048384, + 324678709, + 218925207, + 578132615, + 474512881, + 888131715, + 609629634, + 315967544, + 524785860, + 405721454, + 361433872, + 453017770, + 892259124, + 567026430, + 713985013, + 819121313, + 422010737, + 765491505, + 504281676, + 702381649, + 283027779, + 577050682, + 372692946, + 185180195, + 517515333, + 130614056, + 225476154, + 544197050, + 700962027, + 387277058, + 382713705, + 897324537, + 503164822, + 444887701, + 182420609, + 873744283, + 142151601, + 284062282, + 961518134, + 316391925, + 664035305, + 611570173, + 24232991, + 471119, + 323356678, + 43330530, + 13872733, + 604098192, + 588688422, + 477815164, + 28066396, + 551944250, + 460373571, + 96655403, + 519957638, + 815269331, + 416066431, + 430559538, + 315149778, + 548579026, + 144990926, + 469697664, + 276807062, + 830591963, + 951764295, + 181848880, + 936068345, + 572837639, + 922297302, + 609309316, + 330946439, + 508778308, + 138257464, + 421918210, + 465536165, + 371395717, + 879111175, + 570454301, + 830387367, + 926260287, + 24090362, + 960884016, + 260751119, + 996609075, + 111744778, + 128011844, + 523180531, + 192744573, + 804516130, + 647879744, + 223890485, + 359009507, + 567955455, + 574421554, + 518996687, + 326162726, + 871568286, + 418548285, + 112048199, + 890909087, + 311404778, + 568729494, + 421224695, + 350162901, + 530242863, + 747467203, + 381611934, + 211446083, + 883811171, + 341527122, + 412057865, + 811642307, + 185679076, + 693170600, + 788624238, + 324099109, + 714729921, + 31356006, + 72118479, + 491162410, + 901593054, + 803110250, + 729605150, + 855521063, + 268775178, + 419314366, + 753323676, + 310695325, + 14882242, + 584744584, + 760135015, + 46726244, + 913262988, + 892162333, + 215206709, + 809773945, + 250669583, + 777730266, + 19450704, + 702498879, + 964618982, + 267313963, + 609535043, + 558209734, + 495170008, + 68248695, + 177889478, + 146557513, + 247721302, + 701384298, + 961420809, + 734219767, + 207894810, + 293042802, + 293754022, + 161043132, + 33836350, + 112703232, + 308818022, + 917612884, + 904664444, + 764605481, + 721832183, + 343251085, + 535612219, + 879224758, + 691905948, + 773951553, + 133690810, + 593984604, + 683971398, + 689706459, + 811968322, + 418017082, + 912737146, + 205916616, + 620772420, + 973120125, + 165572580, + 874491045, + 377610832, + 987486511, + 137290989, + 390283999, + 826562467, + 502995563, + 783002407, + 570344785, + 943064667, + 970189318, + 846452798, + 910267561, + 606471603, + 680750341, + 13209701, + 468553463, + 278295269, + 586389010, + 215888907, + 515018790, + 290759640, + 393043623, + 904615213, + 399187537, + 483720295, + 155353426, + 480587699, + 251176122, + 878655491, + 945782190, + 196430423, + 997750136, + 737070689, + 654911200, + 900154099, + 653028623, + 519477937, + 744073449, + 48870015, + 200239316, + 862792603, + 852827755, + 764608931, + 631529838, + 68492396, + 820545240, + 15322234, + 923996892, + 710514931, + 454075106, + 307582112, + 5596337, + 213142075, + 783881400, + 503204458, + 863642973, + 622375992, + 778393993, + 967651055, + 472266469, + 12492125, + 895669047, + 576735023, + 822130813, + 135054580, + 986196429, + 167304411, + 572081855, + 312889093, + 133434946, + 484136785, + 27619672, + 824559119, + 569931161, + 364774245, + 144501670, + 462692314, + 852202576, + 879708780, + 178015665, + 165811852, + 257595208, + 384360173, + 583044569, + 328069145, + 127484629, + 36017441, + 166951728, + 201443580, + 374458905, + 214316611, + 837862950, + 330948504, + 928369647, + 639204931, + 960058276, + 292730470, + 345248316, + 650427571, + 163294601, + 641836373, + 743064912, + 794775263, + 324321877, + 293118790, + 485852066, + 647219404, + 290640014, + 339336921, + 128921383, + 172558961, + 251488718, + 26134814, + 518135827, + 817519804, + 965718961, + 998183557, + 14356515, + 309847210, + 800796571, + 698024049, + 433423728, + 624395971, + 706256749, + 216670216, + 531234307, + 906399856, + 499959003, + 327123064, + 605677605, + 365936149, + 23417693, + 799846383, + 269136168, + 281086763, + 978885725, + 545643835, + 744612804, + 461852542, + 270463078, + 646302576, + 522422656, + 154464799, + 767445782, + 792690212, + 68531666, + 727570090, + 72525894, + 996396683, + 531010544, + 42382280, + 748769835, + 624205808, + 917361334, + 236588044, + 683084372, + 889299825, + 739741424, + 386436941, + 161695028, + 337328517, + 732263393, + 555123611, + 13607752, + 721847151, + 688945925, + 216078132, + 787473780, + 216773720, + 389278179, + 210405803, + 115155670, + 575011183, + 142497196, + 934190229, + 873078055, + 893489232, + 841062861, + 372625759, + 524356234, + 705734718, + 456517066, + 113604423, + 682896572, + 382894982, + 292023447, + 150781316, + 653322739, + 377341932, + 736185517, + 593162607, + 982179695, + 18344146, + 215489687, + 720125294, + 292238403, + 637434014, + 826539540, + 34389162, + 867023883, + 340526526, + 182197168, + 652306162, + 754353476, + 783716047, + 706451325, + 565701736, + 918716329, + 55128814, + 606803527, + 281611323, + 699214000, + 544949215, + 398639786, + 268919645, + 146984344, + 985558486, + 651820584, + 40965084, + 211572085, + 405641597, + 886035512, + 379642306, + 987968472, + 571318584, + 388854058, + 679511123, + 178404902, + 619666669, + 37325691, + 126439140, + 718961704, + 105767623, + 132055858, + 451792081, + 839424105, + 922053245, + 337398532, + 337602664, + 821637002, + 590990074, + 439307823, + 274112008, + 822812816, + 537355043, + 853428308, + 212266193, + 677332430, + 715807269, + 543367766, + 753088099, + 626618211, + 88080978, + 274815962, + 728566522, + 452748624, + 814108626, + 572062352, + 387846671, + 587890075, + 21902248, + 324882097, + 385259863, + 642963956, + 115903935, + 811531629, + 791276173, + 491769116, + 86655851, + 978170677, + 727392696, + 976548235, + 233236675, + 470161347, + 756371738, + 964215940, + 289517144, + 903187947, + 132052521, + 926446996, + 471022374, + 524184036, + 939485998, + 19313477, + 272591455, + 152879235, + 284778297, + 155648411, + 926752440, + 937497612, + 598055938, + 436823197, + 140856734, + 826702154, + 695789314, + 211755308, + 772041401, + 815275856, + 898885101, + 939092236, + 332085738, + 414887140, + 165913449, + 90159444, + 387258040, + 362208994, + 593838498, + 496214776, + 285234523, + 456871368, + 573753097, + 332272601, + 80952038, + 188700799, + 814309681, + 315361587, + 631246765, + 906865090, + 69234278, + 56872263, + 786848192, + 180121065, + 353959013, + 76342305, + 482159028, + 516729698, + 768235688, + 644318208, + 528299940, + 381880859, + 979832443, + 204472572, + 573131302, + 527913439, + 847382839, + 228761510, + 904580691, + 109070876, + 248715477, + 490821722, + 247750636, + 692003504, + 955294532, + 733363377, + 906421302, + 38216708, + 498213846, + 99737571, + 659819621, + 971345624, + 196392115, + 399381532, + 405223146, + 570308177, + 109505366, + 157974544, + 143941350, + 975962499, + 733358050, + 36353563, + 806084118, + 902134268, + 71425854, + 693379929, + 757086353, + 190549254, + 370389201, + 107304604, + 330192799, + 638892369, + 409005196, + 744363224, + 144260281, + 258534409, + 390744484, + 424573251, + 671394479, + 376480140, + 92042280, + 299414306, + 996034076, + 802706701, + 42715847, + 215367075, + 152272317, + 976000108, + 821481350, + 185817634, + 749930474, + 270696197, + 893600017, + 702639588, + 189856356, + 474844682, + 32178996, + 174950456, + 388112219, + 97745755, + 237879854, + 591557837, + 540827254, + 957274883, + 469264349, + 886899378, + 74115552, + 598446033, + 109167706, + 281288734, + 910191665, + 415021408, + 474028449, + 826192411, + 509799476, + 573127606, + 629050467, + 434243062, + 948834658, + 260496179, + 93422098, + 124933035, + 380999408, + 814003347, + 369674530, + 379570541, + 70533413, + 622860057, + 91399722, + 708878091, + 63259494, + 306118696, + 626124869, + 903483281, + 243370302, + 994326739, + 251195719, + 716840980, + 616400017, + 560936446, + 711091045, + 569272026, + 169433628, + 422681260, + 263619108, + 630679479, + 129059004, + 697412708, + 527092326, + 852194680, + 391348102, + 245425768, + 471988384, + 395853239, + 109281366, + 334785503, + 521080953, + 479227667, + 962776910, + 996886447, + 421385359, + 284619225, + 592796161, + 745179158, + 682783888, + 794444690, + 405677095, + 339542147, + 519373187, + 251376371, + 784433220, + 295839397, + 204806433, + 326771075, + 464110799, + 422944048, + 283239975, + 133916479, + 705063525, + 512000782, + 801158220, + 816118285, + 176581266, + 122711343, + 18130617, + 287891526, + 217359446, + 283972099, + 389752158, + 117874017, + 539329450, + 778361467, + 869321699, + 146584112, + 546542016, + 305073073, + 414187408, + 302664058, + 441836153, + 536586834, + 132806967, + 820063234, + 309521382, + 245241901, + 233962008, + 349444664, + 926858280, + 674414320, + 104286806, + 899291098, + 404954414, + 19417076, + 558968023, + 168396078, + 388843788, + 725817073, + 914761260, + 473797995, + 259439033, + 710617135, + 7084936, + 178227413, + 738188531, + 238820096, + 663307924, + 925433927, + 917312186, + 39255082, + 538164176, + 746778665, + 14316368, + 534052356, + 397086481, + 888821955, + 425303363, + 901384613, + 607028982, + 645968304, + 402958865, + 80572801, + 599903073, + 841514658, + 136866129, + 594463733, + 85075122, + 416863014, + 772599426, + 62923435, + 906002409, + 201984976, + 864338241, + 454813084, + 329492663, + 951638941, + 673229563, + 153318228, + 174861084, + 298896244, + 960886050, + 639735168, + 191284060, + 491443708, + 622333898, + 850398306, + 671712832, + 856908547, + 445179879, + 991510500, + 248066076, + 698256833, + 62659631, + 636809808, + 764247046, + 938491880, + 367135949, + 940835581, + 23487449, + 600406769, + 989542858, + 438930091, + 564234871, + 138769209, + 303013160, + 150244534, + 624820812, + 425468411, + 332440299, + 771320989, + 167777080, + 670434366, + 249064387, + 950732628, + 23839470, + 12997652, + 613734055, + 750054601, + 433425470, + 987390811, + 436147491, + 391261859, + 557911767, + 414728463, + 307268554, + 546634716, + 284628887, + 515118129, + 953847703, + 752229596, + 246319253, + 906938658, + 745135572, + 936312292, + 628634676, + 665921289, + 470508413, + 364075993, + 601399541, + 570681563, + 155779289, + 253912219, + 474162457, + 149885586, + 720679008, + 232892856, + 414481343, + 423534185, + 543753500, + 426480489, + 35246575, + 809666912, + 618672381, + 798450695, + 709187178, + 615508162, + 451099096, + 659377516, + 79248, + 357633383, + 505025016, + 349900850, + 15050757, + 632610527, + 488339714, + 942263030, + 884711838, + 518116521, + 116397517, + 741026266, + 416080162, + 635917488, + 555425648, + 939975010, + 567525376, + 135872304, + 995228884, + 311730060, + 660459726, + 631117779, + 720635282, + 735076865, + 628303013, + 57821815, + 281044590, + 257062522, + 328138316, + 406968033, + 177955781, + 620646295, + 411472475, + 454647271, + 61035658, + 5764322, + 506736101, + 14921371, + 738388271, + 259702369, + 771727834, + 357032607, + 296974274, + 63556331, + 276675891, + 754891663, + 36048852, + 315827234, + 49993405, + 83894124, + 208523947, + 364516740, + 793602084, + 842626151, + 7598586, + 487329444, + 32320528, + 645361525, + 588540401, + 666522557, + 307519701, + 843041595, + 310550237, + 491741720, + 693358882, + 516294829, + 961665733, + 660674910, + 730413262, + 712822257, + 623310143, + 43927952, + 94109738, + 302714480, + 642367456, + 193460661, + 846245654, + 405174208, + 233328175, + 311344327, + 966694206, + 249784046, + 48449034, + 650156331, + 715554637, + 216784608, + 539419156, + 783107307, + 797295186, + 739932289, + 581497356, + 764422806, + 140736626, + 78161229, + 772617845, + 506100042, + 993938987, + 16367065, + 69882797, + 771747432, + 243833454, + 288170026, + 355857926, + 176656157, + 330647978, + 40613111, + 268623801, + 61783000, + 35623974, + 928971418, + 492220319, + 476730235, + 306825090, + 144436171, + 125553758, + 24846881, + 798006269, + 570582373, + 305161973, + 493571515, + 6815311, + 919835645, + 392154460, + 83127345, + 452154469, + 118326288, + 355036093, + 778480914, + 712439676, + 666022133, + 574258207, + 934261615, + 654581884, + 996685295, + 439938167, + 972137886, + 261311048, + 856880013, + 136375422, + 18564928, + 707079416, + 408607465, + 245511502, + 414777908, + 63803665, + 526836738, + 768912071, + 151544407, + 453757663, + 970690088, + 164449918, + 567006218, + 467935317, + 777290758, + 989656919, + 6859546, + 870105898, + 702894545, + 911528517, + 653012009, + 428165313, + 468895676, + 339637487, + 21174704, + 451752439, + 453213689, + 607018573, + 541340975, + 635875033, + 104248001, + 88385613, + 409142001, + 819232821, + 219602573, + 70109749, + 164259132, + 164713803, + 980755094, + 909672094, + 957519393, + 726931126, + 229171174, + 90708937, + 903123305, + 757187051, + 919868359, + 43279400, + 720906524, + 744637698, + 818656578, + 859315224, + 633687375, + 109228342, + 105700069, + 516322475, + 840278932, + 106272498, + 384202827, + 499634737, + 193903156, + 264682628, + 829500713, + 704120328, + 889534734, + 31633744, + 147001, + 3613636, + 757555952, + 125610124, + 446253588, + 405591068, + 877984385, + 376389163, + 356828715, + 790843312, + 98335705, + 919276204, + 316050088, + 422947613, + 25635871, + 984962279, + 873022511, + 668642329, + 141453264, + 6427320, + 130475015, + 98895971, + 473660619, + 405686161, + 308262218, + 173580532, + 183121236, + 678389237, + 104858247, + 583346471, + 235860839, + 686554092, + 996439834, + 525513925, + 125120308, + 745034697, + 766095867, + 770111731, + 612706082, + 120912206, + 794654493, + 490777884, + 189782375, + 66897223, + 753365462, + 198873575, + 441018870, + 387534247, + 74261217, + 614464818, + 216973462, + 478892645, + 994393053, + 944660058, + 869496825, + 825839658, + 756357267, + 548636811, + 683490031, + 436104422, + 532800641, + 298776979, + 124837160, + 623671420, + 43929620, + 844267273, + 731416451, + 359240453, + 46117276, + 724272180, + 430765440, + 214085573, + 944825456, + 383739673, + 28821023, + 810412219, + 244137103, + 574316374, + 350128243, + 29819005, + 1247382, + 480100773, + 585116290, + 346525623, + 827013555, + 360392949, + 519512743, + 330887732, + 810898473, + 523572150, + 547928, + 588582976, + 888924043, + 764065696, + 267181970, + 526153729, + 742645527, + 634671306, + 57484132, + 309239056, + 643410636, + 968755390, + 373800891, + 139760158, + 639211474, + 134568256, + 609020178, + 53806559, + 489921080, + 385717334, + 11888830, + 571233149, + 34421204, + 650092640, + 188959285, + 769618321, + 990504664, + 239825576, + 537407436, + 386564863, + 676356745, + 382202690, + 912242078, + 917535431, + 106130333, + 98931852, + 269267361, + 908076481, + 820230442, + 974041080, + 73765229, + 290268938, + 160685959, + 829762445, + 239779924, + 179218227, + 421902006, + 967773668, + 672588862, + 651168274, + 221282374, + 191845020, + 74463284, + 364847720, + 11165345, + 488895678, + 403061986, + 114570990, + 164172591, + 279512070, + 951120940, + 45030147, + 147891004, + 772106675, + 104435975, + 925698914, + 89316600, + 463003002, + 201123470, + 327497383, + 871382888, + 416327261, + 116346868, + 775086676, + 748588738, + 739153286, + 717994008, + 382064649, + 598363976, + 953798233, + 927577353, + 428482038, + 64025497, + 509169964, + 60992949, + 741366738, + 11378006, + 214844771, + 957866360, + 892435834, + 742909330, + 615970603, + 852261118, + 617821276, + 886888993, + 471216066, + 405929988, + 336322714, + 329922405, + 800469233, + 761235371, + 833049314, + 115262210, + 123644589, + 915395421, + 541643682, + 605207285, + 298101848, + 440957879, + 396586454, + 402887104, + 627031051, + 388332881, + 423286131, + 259449613, + 990409043, + 75115104, + 483868661, + 655781090, + 270078343, + 451589071, + 462549279, + 340138595, + 453779779, + 824944115, + 596890183, + 243096088, + 317857852, + 466258276, + 16282839, + 277496751, + 695283119, + 589664125, + 311711332, + 101906354, + 890193861, + 163383380, + 512793151, + 643426797, + 990668911, + 604057265, + 629125267, + 8580700, + 704620611, + 696964885, + 94180246, + 425668004, + 138920216, + 852094782, + 293374185, + 378586328, + 127469487, + 831811545, + 169217472, + 735544343, + 532482335, + 498764771, + 276211799, + 213007705, + 496968977, + 689818517, + 778803907, + 178431274, + 738295583, + 464340094, + 718663323, + 422492698, + 389310969, + 918929642, + 722009647, + 59182085, + 418017568, + 109340327, + 856841760, + 850587639, + 949571415, + 244300495, + 245178093, + 38289473, + 228262803, + 937240885, + 473098785, + 96071831, + 376858066, + 821559427, + 869634256, + 553242521, + 519814707, + 824502550, + 721067062, + 632446168, + 558268745, + 521512122, + 83398317, + 728405015, + 608589457, + 365577397, + 224671332, + 413765572, + 784452033, + 410078097, + 841983806, + 921970714, + 42491125, + 962122806, + 537711565, + 906419655, + 269097230, + 229317919, + 11538729, + 439973640, + 401921723, + 108711208, + 371142119, + 2950040, + 872711588, + 881211198, + 166168321, + 596705875, + 108403477, + 777876158, + 537922528, + 185724930, + 169930979, + 899204935, + 210558880, + 853695579, + 422274098, + 19502218, + 626764987, + 283031632, + 402480908, + 5945353, + 697148970, + 626382453, + 995860583, + 253422437, + 693646497, + 56924554, + 155815891, + 648153744, + 432522145, + 285778297, + 996243823, + 468033302, + 956871303, + 505626543, + 683894106, + 659210468, + 112182275, + 199112104, + 541724077, + 394915390, + 414590931, + 723611053, + 499746697, + 87014069, + 824516968, + 422188341, + 607680381, + 718257322, + 576880232, + 893027349, + 845147616, + 802854849, + 342293678, + 216211899, + 287224389, + 551498934, + 694379854, + 422363200, + 827900652, + 277045077, + 388433168, + 588472285, + 35412051, + 244942820, + 232908024, + 64584580, + 521934630, + 161884804, + 165636607, + 935511943, + 263523285, + 954899866, + 438024795, + 258145217, + 561217657, + 9828643, + 917964613, + 370395035, + 92799513, + 327589282, + 224763719, + 765420940, + 847323269, + 631741480, + 665925631, + 676787554, + 47756535, + 121492640, + 733499604, + 837360405, + 335908410, + 425127499, + 235223767, + 307068766, + 732269678, + 241983531, + 37409213, + 636886401, + 84868446, + 491977033, + 747353147, + 851030172, + 31197388, + 794614089, + 200340826, + 170217959, + 419491768, + 317276899, + 435292911, + 866479811, + 966005642, + 724790804, + 797426833, + 173486727, + 864520498, + 83963930, + 111936333, + 822162998, + 868082553, + 137684647, + 236953631, + 422300877, + 910184632, + 830066395, + 484330084, + 17019027, + 729135048, + 367810545, + 554732222, + 847936155, + 181545846, + 723940824, + 298734643, + 652615663, + 857262625, + 179926747, + 875295157, + 626431222, + 787753340, + 198403317, + 262603508, + 175412269, + 670974983, + 802843748, + 688775850, + 986184252, + 278469555, + 215126598, + 820879922, + 631985141, + 96726712, + 648145206, + 387856461, + 992672997, + 210522201, + 483157765, + 854507005, + 244423782, + 801257671, + 131532142, + 363275089, + 671413346, + 830937328, + 298261486, + 87076064, + 436117649, + 129154018, + 988028285, + 343877808, + 212101321, + 547147503, + 677728016, + 319132211, + 963561280, + 429239018, + 303935822, + 696479051, + 677736921, + 842066161, + 885567238, + 412058871, + 457880824, + 582588751, + 35933892, + 949681221, + 236945432, + 943828250, + 232444214, + 547308253, + 413934646, + 216911206, + 558075217, + 543134619, + 87028197, + 539327735, + 27338235, + 449216211, + 682824069, + 854522260, + 717380673, + 280847898, + 177888575, + 114874327, + 277421803, + 643594566, + 798751711, + 963834246, + 326979114, + 603670382, + 531378152, + 981683582, + 204984763, + 13970901, + 628811380, + 164796945, + 54554069, + 65073262, + 136520837, + 428052725, + 511459814, + 356136618, + 745053213, + 709173298, + 264039741, + 510766781, + 606215677, + 520533550, + 76743238, + 166579966, + 487725766, + 928552155, + 87529586, + 311859760, + 558917895, + 230711254, + 36550719, + 640999896, + 285558569, + 840326500, + 517270150, + 396066180, + 322465547, + 252905598, + 355849815, + 851702703, + 50976361, + 564838014, + 942207272, + 160875813, + 998703101, + 281997827, + 577577387, + 503148725, + 657508089, + 385454933, + 208364306, + 60373569, + 444345040, + 376801009, + 585018797, + 838499672, + 946754821, + 848061731, + 862272402, + 970976423, + 805890237, + 432892233, + 398899534, + 907524212, + 605172923, + 696937463, + 41788588, + 569359768, + 215127958, + 533737466, + 41540744, + 622828173, + 787255368, + 265126446, + 627450741, + 384706228, + 701598137, + 329574379, + 329151069, + 576457410, + 640527768, + 830515456, + 171092532, + 756695825, + 329828566, + 23330086, + 96741552, + 782215636, + 843716037, + 32641110, + 479858768, + 877488614, + 48150069, + 955749282, + 883124289, + 55233878, + 432452327, + 759484333, + 273701839, + 543734510, + 233350965, + 542549000, + 424923966, + 243176247, + 826369938, + 800792698, + 618942576, + 591465454, + 112536449, + 38557628, + 285545314, + 613043048, + 768248588, + 519903289, + 714149440, + 901390312, + 143990411, + 549738230, + 571012180, + 728537998, + 818121334, + 778021790, + 929293067, + 325497046, + 183071648, + 774868843, + 806024324, + 380139097, + 662982241, + 925559900, + 93887167, + 497506449, + 928301316, + 324935544, + 934475728, + 635717243, + 267358801, + 772916716, + 912099582, + 626664081, + 293514463, + 142394504, + 239955020, + 73876330, + 268318244, + 742536399, + 343627203, + 625562045, + 520136605, + 675500647, + 699014133, + 614554433, + 543247733, + 368257502, + 40773663, + 765466051, + 143238693, + 327947127, + 895933866, + 433567756, + 502503525, + 985065836, + 717506007, + 337084464, + 36076345, + 573552261, + 511498855, + 415192237, + 629748233, + 652988202, + 457527023, + 112122047, + 611780034, + 295921976, + 464607458, + 281460681, + 647364220, + 734589224, + 571238698, + 684208564, + 483563203, + 851730560, + 353364490, + 940497658, + 438942336, + 365068187, + 454406352, + 882350856, + 256389563, + 889043471, + 31779796, + 317591692, + 320385083, + 533420612, + 890180282, + 828776415, + 386337541, + 574170123, + 52547847, + 605282184, + 764525176, + 3630144, + 362136598, + 99521170, + 424968696, + 355891747, + 986314010, + 776123362, + 304024196, + 889476703, + 692710673, + 247263792, + 142774345, + 931230718, + 794778245, + 639066407, + 536981755, + 958692076, + 881313105, + 926996960, + 957054294, + 269856518, + 53577170, + 92173210, + 831791542, + 367249742, + 702317587, + 8792379, + 678240730, + 778915393, + 250862351, + 67397385, + 52065119, + 575918572, + 31505292, + 686498791, + 431053355, + 159746074, + 54402796, + 377498506, + 468756710, + 941291373, + 433173284, + 875882057, + 641197579, + 16532868, + 782732012, + 420584626, + 517509015, + 364255107, + 814471347, + 316816485, + 342953836, + 304759290, + 443566531, + 934134786, + 607674469, + 548805002, + 706162376, + 278975853, + 505940218, + 19264182, + 188620742, + 348041282, + 110451455, + 579488211, + 634652404, + 441609621, + 477117410, + 12736796, + 332897245, + 116186313, + 296480505, + 134649064, + 279167017, + 922271527, + 297871875, + 237941574, + 724770081, + 535896969, + 610040044, + 785294497, + 907978587, + 883662490, + 379714479, + 41334267, + 371326988, + 282806880, + 472850964, + 234929073, + 817761359, + 505554347, + 295630288, + 519742665, + 54418313, + 482735909, + 955744555, + 385903085, + 460772580, + 440968937, + 476077716, + 115016417, + 618260042, + 203229340, + 435901032, + 713286623, + 352334210, + 626303116, + 418038318, + 983942275, + 695435805, + 167124811, + 578776395, + 540625019, + 494524924, + 720313280, + 533887797, + 105677935, + 182362905, + 100623744, + 550053421, + 427605100, + 740269460, + 437096232, + 704560404, + 775642308, + 463038713, + 666291618, + 296070278, + 1998823, + 205330442, + 912393155, + 700574385, + 485830848, + 754983092, + 382363159, + 758090400, + 594782906, + 2400, + 734396168, + 106561398, + 81735870, + 707322883, + 240481096, + 704943783, + 967209806, + 871379207, + 508763415, + 68087488, + 349422153, + 98643097, + 862538376, + 312168966, + 256791805, + 963837355, + 17037396, + 171459683, + 783635248, + 855373252, + 638965653, + 946091300, + 313973786, + 637338870, + 177405772, + 852821754, + 907254182, + 586412178, + 987141284, + 67768549, + 601906070, + 62930873, + 138454949, + 838538302, + 926639582, + 173446360, + 740972611, + 907287040, + 381423274, + 339668858, + 647764921, + 306100972, + 780132831, + 108093818, + 981761565, + 478074047, + 360519309, + 361416114, + 722219204, + 374997416, + 79665698, + 587717734, + 732391191, + 245615818, + 668018755, + 514524258, + 739690989, + 342931827, + 452144628, + 159927635, + 75728531, + 299973023, + 851968370, + 942808525, + 868441139, + 112658005, + 696722083, + 723118459, + 536276052, + 62709575, + 188126390, + 762321328, + 689670336, + 510313914, + 337906022, + 993886920, + 715281316, + 485744830, + 434674406, + 373091905, + 576771310, + 549561633, + 718888695, + 333632198, + 354860968, + 313483883, + 51039555, + 936591776, + 221358034, + 581074656, + 560475355, + 78464943, + 605233853, + 952973879, + 590349733, + 304797067, + 635244884, + 714614303, + 819591991, + 634900773, + 730314240, + 570864691, + 156049065, + 787614114, + 985513191, + 490065807, + 570231908, + 170712750, + 960987805, + 874947941, + 325346436, + 96013401, + 838393705, + 734030921, + 873466204, + 368089626, + 725146983, + 770851292, + 892496805, + 311531581, + 772137092, + 408205350, + 516525615, + 682071490, + 476207080, + 373611228, + 56873579, + 590740289, + 305557645, + 38096685, + 894523011, + 366354894, + 955532963, + 746302482, + 162421028, + 184679217, + 905635963, + 435298253, + 353972262, + 768130079, + 828354015, + 182309654, + 781760719, + 815887529, + 503732439, + 301084181, + 856580199, + 818546494, + 48288079, + 869117463, + 899540368, + 698183377, + 159564613, + 981837679, + 249425151, + 352870487, + 259413306, + 932504656, + 321200320, + 895206842, + 344759681, + 747668406, + 840099286, + 874748104, + 24845897, + 453452469, + 452878396, + 611262290, + 377155372, + 763821111, + 893602406, + 74505220, + 536280576, + 910208373, + 831102525, + 753808264, + 490264059, + 692415496, + 297973104, + 600542591, + 737519575, + 499459297, + 845928912, + 290571871, + 364950389, + 999258546, + 678958160, + 213874001, + 536475497, + 516337662, + 916622187, + 193611046, + 536555861, + 189567238, + 356137830, + 477801936, + 325730482, + 831732431, + 504124819, + 434469606, + 819270302, + 82792672, + 986095289, + 31179231, + 719708638, + 639259941, + 484743372, + 782550562, + 257846996, + 620010177, + 963544743, + 958178199, + 854131531, + 740300523, + 680639410, + 202587736, + 857331742, + 250502354, + 666693604, + 962581248, + 365808962, + 470250354, + 295209374, + 58172439, + 83080368, + 87419188, + 918757592, + 379702314, + 521079865, + 560419727, + 123571638, + 691791570, + 544517212, + 335545328, + 984805079, + 860619459, + 511915035, + 343745683, + 106901876, + 28235080, + 77736456, + 38549619, + 794615865, + 630279760, + 941977268, + 399156559, + 852340710, + 663082038, + 282274562, + 897522009, + 996408528, + 486744544, + 782421529, + 452337056, + 376100059, + 957296259, + 254593990, + 561507941, + 929396192, + 332493579, + 37259616, + 301834014, + 912928942, + 938017399, + 730241559, + 548385029, + 159110245, + 365303197, + 368919374, + 110640567, + 945154918, + 470756698, + 264331902, + 62402622, + 602911464, + 426094172, + 74517531, + 429858243, + 106009494, + 417719734, + 396864756, + 750133641, + 227392752, + 809615351, + 139964303, + 573553087, + 254639332, + 479442429, + 191814594, + 496786601, + 51342363, + 822727429, + 541218951, + 258812113, + 79128776, + 553349917, + 289590040, + 12134915, + 892068134, + 482705207, + 713597568, + 446098888, + 813159363, + 593610974, + 654822188, + 675278887, + 922213531, + 194279345, + 346941059, + 431269477, + 356706824, + 708378429, + 755758254, + 257024443, + 182566019, + 223768824, + 505073625, + 98347382, + 231339780, + 451355588, + 448905354, + 294487207, + 685618238, + 66879130, + 642466043, + 133029468, + 138574402, + 736404368, + 91659212, + 609082023, + 166987445, + 751396219, + 83747562, + 726893953, + 163299920, + 664279075, + 188564449, + 220117644, + 660684605, + 705970855, + 880317924, + 570615653, + 203953362, + 196697011, + 414028396, + 108835889, + 463285401, + 158642406, + 594380349, + 408097794, + 445940066, + 266604838, + 310508879, + 414164911, + 182505603, + 879790776, + 592490523, + 280762853, + 25307171, + 11001480, + 996061048, + 135432241, + 504743734, + 510070432, + 11143284, + 163069966, + 749287096, + 901333153, + 406267644, + 791040263, + 188065359, + 325571828, + 18088581, + 868045035, + 994298635, + 317565969, + 438082862, + 722820370, + 848977568, + 351045004, + 370248629, + 953284317, + 485590176, + 692303493, + 427588136, + 744784234, + 332666262, + 278260618, + 632515269, + 72076721, + 496421078, + 485353494, + 421662942, + 211776754, + 264712080, + 907155112, + 302746221, + 853449186, + 858566292, + 821429113, + 803608354, + 660820423, + 516803806, + 276442489, + 640468839, + 459601393, + 856696110, + 455554035, + 33119006, + 726284324, + 168213512, + 519652230, + 534850227, + 389335441, + 446608162, + 391490323, + 159317945, + 60782794, + 438039220, + 553854984, + 883591721, + 656135897, + 609483306, + 935026941, + 86746090, + 678015254, + 668805524, + 621182102, + 473012268, + 502347463, + 836320461, + 936593136, + 318404369, + 840436426, + 949592876, + 908677687, + 789645841, + 933504882, + 891668291, + 914257896, + 419836839, + 403660560, + 908515367, + 677807119, + 300044940, + 45674675, + 481004223, + 740093695, + 724850796, + 419551386, + 988369414, + 769274579, + 783666462, + 467738968, + 661464707, + 861228843, + 225945057, + 549723815, + 554144721, + 700234174, + 906587244, + 19555392, + 4091284, + 808843070, + 625192648, + 405980304, + 645708980, + 950300865, + 274658847, + 277242785, + 549330566, + 823055685, + 168126397, + 546277034, + 820591112, + 745350055, + 800765793, + 994411156, + 854382110, + 969141348, + 522805235, + 661862664, + 762305574, + 100096985, + 780429579, + 106787438, + 75672397, + 4922656, + 488533499, + 669074579, + 950669063, + 97474279, + 962985696, + 216554541, + 240482684, + 628178300, + 16384888, + 153916785, + 832409450, + 645773689, + 949552734, + 410243892, + 505114248, + 200527771, + 550352760, + 358786881, + 445830793, + 624316549, + 4102484, + 177647438, + 300361074, + 231497652, + 518791284, + 1059777, + 100401186, + 680627689, + 955715215, + 106285706, + 486510259, + 12313282, + 771336194, + 665410402, + 742755876, + 525346292, + 503311794, + 145915120, + 773639198, + 27327732, + 377623055, + 238688707, + 942579326, + 732694492, + 106720504, + 430681223, + 288291772, + 901024778, + 123175420, + 535053947, + 559726198, + 206414933, + 194668042, + 772137016, + 410732194, + 826821450, + 685843970, + 114942212, + 69962990, + 205674373, + 235231960, + 139388791, + 117352135, + 168335781, + 934452054, + 865934194, + 456527126, + 713588198, + 375433765, + 364461240, + 606610583, + 335367086, + 548848776, + 807061050, + 10302700, + 354144889, + 973684715, + 689319525, + 492181507, + 86966933, + 172130427, + 810943293, + 877210100, + 650397778, + 672622227, + 707854024, + 289912198, + 603793423, + 287458890, + 619210569, + 634345013, + 367856269, + 647554481, + 652329613, + 622666810, + 488939986, + 460433625, + 195298772, + 686055182, + 511699556, + 208560208, + 904188770, + 799727412, + 651031902, + 899880252, + 697676842, + 199027563, + 21930259, + 468751952, + 677066768, + 565335049, + 460238949, + 556648478, + 960763130, + 261595819, + 9408120, + 863726557, + 941007143, + 700330008, + 131098054, + 186697235, + 270771256, + 157596131, + 654051695, + 543068508, + 181661699, + 212999220, + 14167148, + 439423841, + 529578556, + 166839019, + 132690019, + 869644190, + 722597467, + 324897074, + 394028197, + 891210048, + 919749542, + 518973184, + 130020002, + 676971481, + 22146411, + 957946270, + 646028030, + 335596710, + 124204454, + 589489945, + 802576696, + 737659112, + 527099713, + 967613708, + 780060223, + 20063471, + 217684253, + 83263071, + 892651926, + 251517939, + 383097403, + 234624532, + 519703983, + 541773256, + 263889627, + 159202964, + 527379814, + 845407348, + 986407067, + 398085103, + 302941472, + 272857088, + 735753314, + 676345405, + 801040575, + 435957093, + 322264901, + 905310981, + 651225061, + 698025496, + 687086033, + 105946191, + 807727501, + 195579478, + 461091366, + 841003811, + 849463882, + 721746446, + 824935868, + 737137468, + 67138342, + 910670851, + 211617308, + 630312644, + 892671426, + 18464686, + 524501938, + 493290030, + 256712016, + 38388004, + 337552356, + 16135259, + 610559453, + 174538124, + 351494227, + 447340423, + 370419722, + 678644862, + 614839286, + 694690771, + 787841178, + 830795979, + 78747111, + 628145648, + 366446835, + 924023464, + 281506365, + 739008953, + 947583061, + 425974538, + 158340465, + 562979652, + 398444334, + 975572169, + 442027230, + 744951339, + 783495652, + 853018042, + 96866257, + 391809454, + 411839547, + 444665939, + 733183907, + 301338715, + 5029412, + 334266496, + 785746950, + 312127081, + 93398445, + 316789837, + 496591133, + 9086123, + 150259716, + 832818610, + 391842061, + 851504145, + 601825447, + 581542987, + 736787591, + 395938862, + 588774663, + 108995832, + 897943190, + 266501624, + 936822326, + 566287709, + 196108121, + 426700437, + 379147563, + 507378396, + 104889000, + 12551617, + 389744695, + 636360398, + 70045406, + 548142234, + 359005953, + 890152810, + 262989352, + 265022744, + 274319387, + 234496278, + 943658006, + 2587636, + 679243412, + 657940092, + 486116036, + 922557628, + 833799770, + 286914012, + 896881636, + 753909027, + 2254299, + 244480533, + 993412922, + 59196745, + 190630391, + 340634992, + 913204583, + 890480690, + 388242314, + 164689025, + 468002245, + 420851326, + 466579486, + 271029505, + 494940426, + 716449541, + 548402829, + 117632462, + 985902010, + 965613430, + 518228321, + 167535795, + 151054354, + 868707389, + 46511877, + 324993432, + 786665482, + 604039934, + 714266563, + 934808399, + 408644269, + 351233519, + 642344362, + 136642676, + 677525207, + 569720540, + 553168968, + 500186347, + 79021263, + 710470592, + 327179434, + 457938337, + 513883621, + 399299355, + 111337486, + 308537759, + 443479964, + 474689095, + 463536323, + 742862710, + 88251128, + 323884749, + 474309049, + 454529429, + 931492544, + 271528801, + 814603601, + 244937907, + 19966316, + 203838551, + 233959837, + 864241217, + 370632105, + 120683822, + 297071752, + 773269445, + 932339420, + 760709552, + 387091632, + 336727735, + 363172498, + 198312630, + 492980219, + 66825899, + 131117604, + 588619912, + 164665876, + 128657716, + 336161256, + 4099010, + 599260226, + 111805634, + 843940110, + 882420536, + 684513140, + 458788778, + 621791869, + 317476546, + 601123373, + 361414164, + 510551376, + 796075541, + 62962582, + 270077516, + 674878218, + 597759612, + 312095666, + 1798450, + 890564183, + 676590467, + 343898546, + 183824824, + 922215761, + 98785592, + 907039888, + 125082584, + 72796322, + 106213319, + 73115388, + 604249635, + 680621824, + 508283677, + 131616563, + 249837753, + 292671378, + 448527865, + 323992237, + 109180664, + 709686516, + 603300943, + 574437254, + 182938907, + 919180455, + 234397702, + 421744475, + 928683912, + 419340127, + 603003913, + 502431677, + 837814895, + 308815549, + 291117792, + 817771292, + 240007556, + 287161097, + 322527208, + 200056716, + 696263764, + 376095653, + 640335140, + 397850999, + 198263966, + 674886770, + 176181272, + 711318925, + 842375981, + 954327838, + 831482095, + 887230910, + 669939979, + 108042495, + 291625032, + 405051284, + 527388577, + 265332754, + 748901666, + 159586651, + 853169860, + 926083764, + 32661925, + 421172194, + 692606544, + 530126998, + 63530847, + 706320908, + 798220839, + 217520675, + 115410594, + 822714819, + 625583370, + 216648311, + 36204645, + 234736451, + 394172261, + 785887908, + 524533068, + 141261069, + 792323480, + 4810741, + 5260454, + 610353862, + 284881864, + 100790927, + 187966162, + 918356240, + 737457825, + 372059118, + 355681836, + 620876731, + 485513108, + 759626188, + 346561701, + 196179597, + 459687547, + 804192470, + 700283288, + 386896427, + 852493382, + 971247760, + 93712327, + 326371914, + 181943962, + 848151987, + 735631029, + 292883450, + 465610209, + 962816203, + 148871769, + 819490217, + 223719093, + 571620827, + 468787516, + 987794372, + 152932960, + 910401675, + 2128721, + 654511336, + 6590456, + 520449156, + 522170508, + 147351440, + 800440838, + 675153284, + 838179460, + 814662818, + 201593052, + 577928685, + 958191817, + 698708245, + 251171124, + 46587663, + 557682161, + 883162189, + 235765990, + 962930541, + 651855759, + 458034939, + 901315154, + 265378920, + 169166438, + 906390384, + 104492235, + 889438008, + 622798221, + 573298519, + 15931116, + 608200480, + 41332652, + 257668058, + 742231946, + 733318468, + 588153740, + 359536256, + 657575116, + 696263877, + 868131117, + 347954756, + 934434339, + 430863112, + 777779281, + 195028280, + 270709338, + 319783769, + 414820149, + 984200675, + 815483880, + 212063502, + 516051807, + 965279460, + 796256100, + 238031420, + 168864638, + 873243556, + 780757481, + 760614889, + 852727598, + 276995100, + 298826244, + 582882016, + 929243153, + 496579164, + 323453621, + 983512777, + 240151539, + 919042994, + 955402911, + 745873226, + 476810409, + 460692629, + 678589281, + 561259236, + 409331699, + 753418370, + 7027069, + 2521447, + 663746358, + 556304074, + 186052160, + 535411158, + 888243793, + 4796231, + 697108387, + 909806718, + 404583696, + 152640611, + 295941568, + 272558634, + 383732769, + 615432369, + 768445776, + 569529696, + 775678423, + 969910309, + 762084380, + 149737190, + 904215290, + 35631600, + 883559439, + 973951692, + 473914567, + 325335913, + 522398499, + 49990956, + 86052225, + 579173450, + 756822646, + 346991125, + 105166241, + 366408821, + 7977517, + 94441721, + 598430316, + 892187303, + 952942551, + 758306675, + 77870063, + 68531674, + 39402636, + 154589070, + 987808262, + 34652284, + 832132374, + 265687873, + 203461439, + 5859146, + 135877875, + 58631580, + 607983736, + 971018014, + 395659302, + 138667846, + 589384747, + 87898452, + 175397189, + 398195647, + 953111305, + 114206554, + 435771449, + 468690304, + 151763901, + 153616649, + 905014534, + 324793865, + 362425786, + 445613971, + 70410014, + 533298662, + 943109753, + 99138205, + 969078676, + 613807945, + 277557133, + 346881415, + 574211405, + 812665031, + 922992149, + 906115989, + 323216288, + 193753664, + 21384932, + 849289388, + 699755921, + 735532201, + 388896843, + 605613584, + 312308535, + 270343312, + 276794372, + 687643035, + 282534390, + 387204739, + 610883960, + 80478173, + 952747027, + 899712031, + 779890597, + 940416079, + 212535364, + 465993297, + 903680919, + 576559490, + 638147975, + 790504349, + 282452462, + 219330066, + 921103998, + 436618144, + 114296442, + 456956811, + 939406174, + 754842594, + 199237860, + 910179265, + 139744129, + 781058913, + 242418094, + 417040249, + 85508845, + 297222575, + 297437000, + 497358029, + 902245823, + 397571381, + 249949442, + 86576388, + 319900308, + 774288723, + 215536319, + 649942813, + 147284848, + 141973128, + 70347551, + 184610680, + 879107166, + 841509306, + 379245195, + 618988757, + 786519206, + 764524300, + 557642989, + 646329794, + 162797993, + 153970635, + 351600767, + 39151982, + 959166309, + 544997669, + 525343157, + 182832633, + 791349426, + 726935992, + 500404979, + 301575127, + 133181533, + 475324256, + 468232788, + 456613914, + 724204716, + 33078438, + 65591547, + 579336587, + 472094108, + 874268368, + 851934712, + 33240127, + 317442702, + 765782121, + 177948233, + 261486538, + 17243785, + 685311672, + 939633051, + 534693634, + 653186798, + 120692524, + 828420921, + 262199739, + 873340154, + 287538596, + 608103264, + 261199967, + 68517277, + 937809881, + 964679506, + 259547020, + 647555171, + 928179910, + 860749598, + 573358021, + 19165987, + 441877755, + 471335590, + 747043443, + 583633086, + 171373058, + 177876824, + 65176876, + 470893928, + 954755789, + 373797503, + 424547386, + 825704496, + 410473902, + 526582920, + 407697522, + 313057827, + 48347387, + 263645164, + 256371113, + 498594085, + 770834335, + 851903661, + 12478099, + 34621115, + 472068429, + 811393747, + 186188077, + 684187001, + 123458061, + 753011463, + 845880727, + 243384848, + 339893253, + 135359570, + 898261917, + 606757967, + 534312032, + 655421703, + 588121559, + 252376669, + 135702799, + 616055349, + 214209433, + 386005360, + 538316596, + 711867737, + 851969843, + 349015218, + 167913513, + 402660772, + 230529217, + 64162697, + 655668777, + 230439025, + 100666049, + 117290718, + 466381215, + 502209634, + 229316848, + 159600772, + 58689895, + 38338912, + 190672548, + 25922211, + 62149800, + 103534088, + 815504856, + 756521567, + 493170839, + 116426480, + 714649447, + 310038768, + 318233713, + 740794430, + 787335387, + 967297275, + 227455115, + 569908549, + 923328931, + 965296675, + 628250823, + 604408897, + 745605140, + 772453297, + 887709382, + 995635157, + 620066279, + 6383577, + 245084692, + 740425194, + 143630662, + 82756495, + 916150692, + 401428665, + 615943405, + 898236333, + 942831472, + 952632898, + 985543191, + 377349815, + 424683091, + 52285380, + 245405143, + 387426423, + 351886766, + 546919369, + 929561215, + 750172521, + 488855888, + 266124591, + 838382624, + 446361468, + 532704737, + 300166008, + 172673305, + 933657307, + 544069251, + 913634158, + 686747477, + 836779972, + 297714776, + 460081981, + 675709973, + 343826625, + 258995138, + 658227604, + 847822177, + 551704214, + 303005176, + 232605682, + 733324191, + 815720146, + 843664435, + 810828951, + 888913038, + 434055248, + 29580491, + 626007723, + 69144178, + 744787989, + 107298062, + 569453107, + 887998946, + 675226463, + 848515632, + 284107131, + 784261922, + 151274111, + 718440452, + 877480239, + 702665010, + 278388597, + 17309173, + 239706976, + 248769157, + 731538403, + 440455564, + 918547691, + 825607306, + 854335978, + 774116674, + 788073273, + 182336989, + 710596200, + 280423224, + 606609550, + 146913188, + 28078818, + 61875958, + 663368652, + 498535041, + 194470828, + 813559028, + 12952251, + 312097215, + 657785688, + 479925992, + 755815940, + 186799440, + 442857583, + 151830564, + 144269796, + 461577678, + 351357144, + 744335392, + 110644308, + 936642666, + 289575684, + 81572677, + 562433223, + 745079003, + 404272999, + 809419919, + 382541601, + 196123560, + 812596841, + 372083132, + 657302321, + 445738182, + 153734021, + 746772455, + 659587727, + 749557084, + 777161862, + 105653640, + 559518307, + 319802792, + 992640264, + 416040878, + 276828213, + 509882869, + 96328018, + 410195495, + 499598670, + 326556304, + 618620226, + 136907283, + 527549521, + 58151195, + 98684956, + 240333860, + 983665222, + 17480482, + 280503589, + 868221253, + 256345009, + 969202761, + 312178542, + 944089903, + 964396389, + 12299489, + 469796288, + 964297044, + 157566903, + 364015997, + 319103717, + 817892418, + 579021930, + 13677696, + 81862186, + 552268366, + 145225733, + 388095503, + 835391628, + 899739479, + 319232009, + 741650706, + 259035996, + 472983593, + 651203832, + 645633811, + 193106569, + 23591317, + 148115254, + 310279506, + 513486516, + 847450668, + 45400720, + 489956078, + 527481763, + 765286711, + 464628520, + 43814676, + 245624788, + 456723528, + 709087979, + 374794217, + 933408756, + 660895036, + 927503873, + 148415378, + 194248852, + 890876037, + 695777143, + 158301504, + 755698743, + 602362757, + 677017704, + 657889469, + 534924368, + 906157099, + 382047775, + 68279386, + 76621292, + 604910747, + 283898328, + 453566602, + 443115388, + 31641528, + 725517746, + 591864580, + 90808422, + 969026338, + 190882515, + 416617419, + 157758160, + 881928648, + 629865722, + 800165209, + 511282808, + 898696760, + 578525058, + 371514080, + 49131097, + 126668129, + 186068404, + 427736328, + 785459346, + 23767989, + 669984880, + 890020822, + 402534919, + 69056634, + 848663083, + 974292456, + 622632991, + 84774312, + 330073660, + 705731053, + 659224886, + 564812260, + 649993895, + 385054430, + 639330675, + 494642764, + 763088190, + 86778686, + 840781219, + 895158191, + 412067119, + 450850376, + 47635117, + 172333627, + 91271992, + 788572284, + 302401653, + 800347516, + 794689606, + 700740291, + 852590826, + 49249717, + 818709665, + 647090186, + 75581632, + 316979279, + 836540000, + 207412402, + 341122333, + 904925442, + 17970509, + 804488249, + 181088845, + 457398613, + 641738096, + 521076958, + 399535905, + 927038206, + 531581514, + 89755185, + 568210035, + 264083792, + 438147707, + 461067118, + 155435223, + 398745882, + 428485169, + 841376145, + 888486503, + 433938380, + 479839583, + 236777894, + 889109990, + 767959216, + 276015167, + 923418640, + 951730010, + 534519502, + 699641113, + 380516833, + 199557862, + 174042508, + 492490188, + 857719861, + 652378172, + 825825681, + 177262010, + 773390060, + 859803241, + 685291053, + 94900922, + 280171837, + 697390878, + 904267490, + 405140498, + 631378470, + 735534598, + 949785971, + 120002797, + 309548330, + 392018343, + 432632349, + 803442113, + 319940288, + 171938115, + 750132408, + 395291572, + 274433260, + 950621238, + 953601888, + 316724827, + 732615007, + 709398114, + 357961232, + 226435930, + 463719669, + 119004500, + 926046566, + 375367143, + 456280577, + 897363230, + 321707875, + 362916142, + 546932742, + 800455892, + 354747381, + 507935717, + 103050101, + 506884744, + 55819037, + 572143961, + 514826014, + 735798258, + 355822775, + 621152637, + 744207156, + 325624090, + 461341348, + 449653283, + 572669991, + 67842315, + 908180319, + 640268618, + 214377936, + 345061032, + 394355323, + 363272056, + 583544296, + 628143121, + 464769054, + 922713954, + 15093013, + 221899731, + 759359213, + 661226419, + 394837828, + 462854204, + 102577214, + 952013726, + 29268988, + 559480792, + 163067244, + 799746170, + 143043352, + 456394057, + 613172581, + 390756588, + 603039635, + 516751536, + 537510974, + 694536720, + 324874892, + 947905364, + 143363324, + 517069727, + 179807105, + 172570294, + 510718023, + 743288959, + 791826781, + 841717186, + 885627222, + 423890772, + 577575354, + 544384027, + 820901164, + 740283059, + 858971381, + 792995135, + 936553376, + 851461564, + 782293872, + 693233446, + 461509240, + 187624377, + 791137831, + 784374961, + 203830873, + 492588654, + 308808656, + 381023831, + 875252069, + 66785800, + 928896491, + 946135909, + 295777704, + 303528680, + 59465674, + 499892963, + 736343621, + 720898217, + 136177980, + 191790815, + 963639605, + 612089790, + 553735257, + 652603572, + 279565238, + 284811676, + 802051791, + 331824789, + 420300691, + 385533274, + 128219793, + 475295901, + 297534144, + 535879851, + 573286487, + 742646615, + 714183684, + 146112243, + 139400012, + 746368583, + 566102987, + 553941001, + 264149160, + 125034729, + 515789662, + 542392160, + 56327781, + 305689939, + 737888971, + 58360682, + 35891408, + 891629542, + 171201773, + 956858784, + 481267569, + 141956424, + 18176841, + 62093440, + 291526336, + 389045064, + 104831872, + 386939601, + 992118669, + 411185546, + 899820633, + 505699349, + 396925773, + 227287069, + 567729032, + 994329549, + 928702396, + 819829153, + 349309642, + 890228519, + 672642785, + 872605296, + 368046973, + 154831670, + 633639130, + 217667319, + 165428127, + 741162097, + 678142049, + 27491680, + 453055494, + 170509226, + 923958955, + 319488734, + 623224269, + 92762864, + 248798156, + 967761957, + 998710547, + 777616116, + 196065571, + 145225836, + 134357071, + 461790303, + 576095229, + 358107149, + 61235146, + 716113754, + 992352141, + 313190476, + 511924580, + 937347609, + 41375478, + 51775066, + 530073957, + 955109316, + 916994986, + 260081676, + 709431976, + 697558728, + 962020390, + 996588840, + 141125234, + 60590577, + 966654833, + 155357884, + 102697907, + 112898930, + 8750637, + 614723779, + 24143598, + 47435647, + 117695370, + 765745083, + 467003640, + 557086033, + 931497785, + 547286816, + 599040751, + 543317106, + 204924491, + 851852724, + 550990846, + 177871652, + 549411262, + 674929463, + 693983684, + 55598775, + 933420143, + 904858686, + 771046057, + 251906115, + 479599854, + 244319877, + 271827370, + 457121060, + 804648012, + 898996298, + 787583321, + 350011602, + 769830665, + 507106790, + 328268200, + 9504213, + 246428039, + 579847696, + 483007996, + 772344185, + 388853114, + 746161209, + 937911085, + 215218066, + 881279093, + 68265430, + 694006849, + 40111062, + 709556927, + 500066158, + 107015854, + 569466694, + 604127736, + 390527271, + 855376375, + 355085380, + 31751835, + 782308835, + 314041218, + 907981606, + 103624655, + 987998306, + 35968255, + 930621935, + 675955959, + 859345023, + 927278408, + 953540104, + 992801210, + 182504195, + 383725050, + 276520873, + 246966463, + 391205972, + 212005696, + 690702135, + 186650932, + 630398988, + 481863705, + 820015855, + 442326399, + 785545883, + 841273753, + 92426057, + 449643783, + 189886063, + 138153159, + 396886018, + 739599060, + 641413452, + 24476340, + 922971701, + 893629356, + 985437278, + 586641179, + 509379420, + 555732712, + 505009851, + 671905716, + 556584290, + 289599284, + 139764999, + 695277572, + 503815554, + 909325787, + 621298816, + 293512420, + 248179018, + 383133127, + 968070236, + 872969345, + 817987845, + 652179350, + 378207171, + 34177948, + 70241621, + 113916537, + 478378153, + 908929536, + 10166896, + 699797025, + 147754948, + 656537505, + 579940131, + 664465798, + 996233037, + 593335905, + 918064827, + 2065452, + 646937142, + 394751358, + 119065882, + 485852922, + 242470264, + 347962003, + 17657596, + 716927956, + 81373929, + 835611828, + 630184962, + 482982242, + 973654650, + 976377416, + 326248504, + 664195339, + 44276393, + 501270155, + 187746381, + 427395652, + 366401777, + 588381632, + 56236201, + 405081809, + 78399728, + 496785917, + 284161896, + 490287294, + 502107933, + 996130009, + 947183803, + 136146833, + 723951808, + 181920328, + 360592448, + 439901487, + 742041754, + 557296007, + 847825951, + 511586277, + 823812031, + 191815237, + 727731252, + 925854096, + 413775230, + 476750720, + 366711887, + 792758532, + 816942176, + 997322568, + 145404730, + 602647887, + 182558738, + 36807904, + 872052864, + 315192563, + 392354005, + 260542904, + 580706386, + 141973022, + 511510520, + 107304785, + 400632580, + 243670953, + 326191509, + 411945471, + 675713528, + 526957650, + 149389086, + 179364331, + 647778848, + 138600071, + 249117340, + 546864927, + 979349945, + 67808872, + 547041736, + 512150929, + 147077767, + 576105543, + 645945672, + 127974098, + 681299234, + 312340595, + 697427740, + 700601900, + 657776191, + 267335493, + 918940571, + 806243777, + 703088867, + 742171183, + 8951367, + 809116931, + 667411335, + 917100968, + 378292853, + 743198626, + 83595656, + 673674792, + 416694515, + 170769902, + 741094564, + 200654720, + 968594408, + 38946492, + 383169515, + 803482351, + 548200916, + 287857019, + 371909539, + 410762153, + 668456788, + 257618086, + 83225437, + 222298408, + 643990538, + 219077737, + 303315224, + 840702335, + 85003284, + 129613337, + 378185304, + 769344296, + 506312307, + 296624102, + 343197132, + 318442114, + 571254354, + 800861788, + 109491652, + 730343462, + 123117716, + 520521008, + 621304375, + 352658350, + 659152786, + 651140117, + 510695816, + 847572924, + 506365788, + 462408197, + 458119812, + 745994505, + 468807045, + 896804386, + 141332484, + 923660756, + 808135126, + 195159726, + 668797625, + 520779149, + 129325566, + 27095726, + 939400343, + 206158841, + 535088594, + 139027203, + 863703791, + 498885699, + 976596021, + 714896696, + 819469678, + 1279997, + 90365482, + 903798754, + 700268470, + 870267946, + 855640216, + 39457079, + 795480236, + 707019362, + 108365705, + 612370460, + 439961296, + 618625803, + 785704098, + 629524918, + 358669986, + 353321846, + 527198276, + 265881583, + 386829745, + 91537597, + 426036189, + 794311266, + 452522100, + 893410293, + 646958029, + 978910282, + 875048570, + 816664033, + 547776577, + 148831325, + 545281705, + 181893272, + 588376625, + 62593072, + 888920566, + 313325803, + 78359331, + 381464578, + 224730194, + 404361952, + 975407616, + 464857567, + 915028074, + 716394403, + 409223194, + 669537840, + 518372565, + 916535279, + 170618544, + 364985000, + 180346444, + 534089468, + 188250689, + 110435801, + 76054691, + 325076645, + 224336409, + 338296942, + 952959759, + 298918395, + 112708497, + 28485961, + 392773777, + 106271402, + 484200090, + 139616303, + 868349938, + 124123113, + 413287692, + 961573763, + 911750608, + 182365930, + 611526846, + 188589527, + 477527507, + 540301926, + 133540213, + 749299777, + 894949049, + 971258674, + 761492664, + 249214242, + 885086884, + 429147401, + 737787165, + 982556888, + 863846614, + 115721024, + 938927586, + 612661859, + 17091504, + 267060844, + 778239705, + 458136520, + 883421189, + 721172740, + 615793083, + 754098139, + 383566737, + 688881149, + 259641751, + 456252274, + 413316161, + 562039340, + 562192441, + 657022339, + 825491338, + 364605250, + 248927821, + 204332727, + 21115867, + 510692262, + 547664591, + 27368304, + 626054110, + 453477733, + 965426413, + 585572958, + 894198098, + 845202972, + 57197158, + 582307377, + 829596124, + 77481595, + 214923002, + 488494530, + 31254777, + 716749955, + 663408918, + 639832850, + 45551037, + 88577302, + 960775348, + 675777393, + 257870671, + 430844645, + 86126314, + 325639211, + 595215303, + 66682611, + 323588591, + 898159938, + 729765373, + 11361702, + 857244969, + 630428198, + 344005864, + 481615157, + 658026623, + 97544919, + 40361661, + 893515481, + 766527939, + 424658384, + 932286115, + 269103540, + 333073589, + 784319589, + 398354827, + 197302528, + 494412144, + 583078520, + 480617409, + 518234867, + 177659258, + 214449957, + 20963735, + 900367187, + 600820470, + 320312511, + 495578462, + 283645598, + 508062608, + 628218230, + 37482362, + 239572250, + 512315321, + 725284373, + 329358694, + 511101447, + 17083723, + 181215734, + 430570474, + 156212125, + 567079692, + 566874172, + 123539018, + 103484222, + 828681010, + 167409191, + 121506138, + 267206966, + 856688470, + 56361382, + 722745969, + 847272439, + 437591959, + 319565600, + 392298627, + 481204969, + 666056962, + 782720838, + 537508427, + 625053504, + 820013911, + 505950233, + 402501589, + 441291047, + 156588594, + 646148518, + 597632784, + 38704452, + 882438880, + 182831039, + 201861877, + 214871672, + 347776958, + 498966166, + 13991764, + 186628637, + 439574240, + 838784693, + 483188207, + 755924290, + 596112254, + 802433472, + 228400846, + 664005281, + 650094825, + 506397465, + 439217975, + 305561355, + 54217457, + 600511626, + 490785232, + 1649907, + 748198621, + 645582163, + 777058810, + 201541310, + 57009871, + 579221951, + 541039822, + 471485806, + 748598385, + 615889740, + 546860529, + 330406932, + 322731805, + 982367741, + 818703031, + 273296534, + 43035933, + 657442515, + 982472703, + 481021724, + 688884116, + 607818969, + 308607606, + 703894795, + 160710333, + 448703867, + 470892206, + 675198664, + 325443419, + 329269404, + 292558494, + 923915177, + 656166591, + 216923439, + 660414179, + 753500699, + 289755539, + 620404950, + 601398870, + 757483412, + 178843327, + 983829953, + 112013701, + 866733650, + 369873708, + 169291068, + 946381508, + 723657354, + 501733586, + 765991423, + 660672633, + 462432433, + 534678965, + 960114105, + 478030057, + 576741383, + 927244947, + 568691151, + 337841329, + 800298708, + 663841121, + 123101591, + 31311010, + 68366341, + 65165974, + 600361210, + 974624309, + 838005743, + 577896194, + 766078471, + 129390525, + 818814813, + 686624171, + 551035884, + 46879852, + 317890314, + 635665688, + 487841437, + 300655302, + 78056140, + 727070939, + 419063024, + 35461523, + 869303525, + 290644421, + 158898529, + 36591900, + 35932549, + 491065967, + 449285323, + 829778130, + 761092654, + 953459382, + 141711666, + 87519509, + 881631857, + 485437614, + 300335821, + 950731292, + 580969588, + 940335515, + 874367637, + 681873953, + 110323914, + 512987426, + 793764117, + 164114441, + 584875946, + 599719008, + 343366864, + 317639726, + 286574686, + 223429676, + 109626798, + 271232912, + 805229066, + 636524151, + 399512727, + 728031157, + 183389042, + 240731497, + 832918711, + 863223866, + 701214502, + 785514330, + 757145035, + 638327644, + 486896902, + 210683227, + 709159461, + 893785527, + 714707413, + 291065956, + 999180266, + 122549883, + 830609307, + 846498912, + 16263862, + 128743972, + 316450436, + 654045884, + 2667771, + 639740716, + 595030690, + 814156724, + 30060942, + 463033516, + 425135015, + 511412426, + 399096923, + 112030017, + 385210716, + 713407011, + 974495556, + 228396928, + 803477439, + 428612817, + 340684355, + 72070760, + 661050305, + 145548457, + 41848067, + 741469985, + 596122892, + 827433175, + 420735745, + 963880730, + 738094746, + 263156429, + 449136427, + 399451173, + 342636970, + 581766334, + 96331502, + 30635618, + 114056719, + 240169419, + 751723815, + 599882908, + 910300988, + 49418037, + 967270681, + 101121314, + 143258377, + 145181715, + 158797876, + 585227295, + 23144662, + 324317639, + 685286511, + 520305496, + 509810754, + 921733454, + 50741067, + 878047818, + 736089818, + 15273616, + 323040697, + 30108054, + 15068584, + 58471634, + 578082785, + 20642577, + 286970666, + 730836577, + 607705242, + 555594036, + 504706512, + 582579350, + 83851870, + 692968480, + 594253565, + 69355371, + 652810495, + 572877221, + 12675090, + 278374149, + 532340997, + 149499197, + 715393047, + 845510390, + 928969371, + 575979034, + 680217443, + 500814202, + 119577756, + 506931006, + 101649554, + 198617091, + 518917334, + 499063175, + 492713623, + 858866802, + 797638168, + 295227410, + 882469394, + 971018232, + 551105351, + 739936130, + 503618350, + 559698672, + 618570125, + 960008051, + 863481674, + 972823379, + 160466945, + 30720638, + 445961060, + 286895704, + 458040928, + 302542247, + 325039416, + 479504528, + 931417282, + 683967532, + 666139637, + 9991762, + 187602289, + 458596573, + 818086442, + 242830795, + 122597351, + 727616093, + 123368857, + 282625062, + 567700247, + 68607397, + 914037843, + 147696028, + 687194905, + 866005643, + 978248889, + 555420622, + 727126270, + 640616225, + 548698971, + 263975710, + 329730182, + 436205256, + 568625402, + 289566410, + 645796652, + 278832022, + 139591237, + 65490675, + 665248265, + 687048204, + 351603338, + 584771907, + 502139850, + 705085022, + 194555831, + 114214203, + 729387849, + 413271856, + 982113843, + 731114040, + 611240364, + 894952804, + 432362002, + 579196880, + 788832870, + 442757143, + 787490007, + 729317446, + 961282976, + 331606650, + 388259442, + 162412649, + 693372406, + 163655305, + 737570121, + 386030526, + 265107968, + 304725384, + 812938031, + 443370736, + 434792423, + 500793616, + 592545986, + 745377341, + 719552500, + 867609304, + 601099036, + 607883599, + 998057841, + 789056402, + 365658873, + 149088710, + 308289341, + 430274004, + 345414421, + 340356641, + 426565857, + 172990618, + 732893980, + 489388715, + 37016057, + 117067653, + 809157265, + 730000686, + 576105973, + 429487411, + 318150681, + 625812265, + 913332975, + 669343980, + 205587230, + 184749504, + 393830158, + 154991424, + 576042862, + 477673738, + 833760365, + 354231984, + 814955152, + 416337635, + 281175219, + 315628929, + 67409441, + 366689386, + 940485182, + 920961387, + 788517102, + 808207830, + 274637504, + 899500216, + 552941030, + 839681726, + 550615209, + 834768476, + 175688311, + 767414138, + 891283798, + 487869796, + 779908830, + 262397563, + 97957945, + 518098706, + 153345380, + 338971039, + 994229640, + 490068585, + 946447166, + 678583938, + 75123218, + 235576054, + 513454964, + 639419480, + 77347963, + 795890683, + 159723456, + 569050398, + 623873583, + 125638143, + 253964077, + 613120119, + 307009781, + 854050535, + 523573170, + 714981420, + 735043974, + 117609445, + 873078861, + 821395210, + 416884431, + 551841717, + 920180672, + 445619884, + 661170098, + 465506917, + 364926006, + 125389213, + 170173885, + 100910327, + 977123424, + 146573031, + 970984521, + 904275789, + 489280726, + 509545633, + 596709755, + 950887506, + 493717384, + 522869309, + 706685638, + 49693980, + 599015929, + 726781311, + 880241855, + 443163728, + 571153042, + 647921132, + 793190240, + 512532854, + 282023390, + 809801873, + 111727026, + 973177567, + 613751497, + 769784802, + 507304665, + 571643155, + 304539836, + 679568797, + 161684763, + 286298293, + 447731745, + 492590686, + 400021136, + 611999579, + 768517328, + 33340443, + 197160426, + 851347989, + 382782348, + 437827909, + 49122159, + 14858325, + 107808501, + 642702771, + 820265079, + 908044217, + 975192565, + 42740071, + 301569486, + 261609215, + 483783697, + 270845855, + 953525411, + 433334045, + 733915151, + 804122035, + 837514072, + 354035885, + 42231432, + 804131838, + 533637918, + 765414540, + 585782503, + 254571584, + 284420630, + 717248775, + 823482331, + 67706263, + 420823869, + 594456106, + 854322358, + 513724108, + 796436270, + 167121631, + 277730292, + 572520115, + 387455970, + 134510209, + 530854230, + 770485945, + 137770742, + 653489764, + 911450672, + 169076299, + 973178465, + 33325229, + 583884415, + 298279630, + 482710605, + 979898824, + 578986265, + 967704297, + 927480704, + 673929354, + 17265624, + 412209691, + 483584233, + 465444235, + 91759926, + 523183038, + 671884341, + 772191809, + 241990322, + 451363386, + 23746642, + 328530889, + 100439015, + 138197742, + 454265287, + 234010943, + 235321965, + 286354839, + 11399980, + 442681280, + 395354176, + 196387261, + 526979845, + 979069696, + 384445778, + 63922004, + 448449347, + 467370161, + 12501931, + 525437941, + 844347868, + 363993639, + 123390245, + 372779450, + 438871378, + 928702535, + 922774227, + 275955025, + 909268037, + 608648648, + 851511781, + 79820971, + 477676219, + 82909042, + 61552992, + 272303691, + 453058165, + 993740161, + 566756540, + 671139562, + 700984913, + 247814663, + 988630482, + 272647691, + 617940939, + 682088710, + 929502509, + 72528955, + 228647483, + 924385736, + 784288807, + 687504084, + 493172243, + 7410409, + 859693916, + 217420272, + 972954735, + 660448464, + 532104048, + 975942124, + 229732924, + 706527599, + 571326966, + 193850527, + 237189012, + 401193577, + 127124624, + 269099324, + 68791900, + 451538840, + 158570712, + 750202343, + 316017115, + 165738112, + 557182428, + 768177748, + 856448411, + 323678236, + 640304369, + 474279161, + 29826084, + 762921065, + 87921973, + 407928921, + 436529019, + 501224008, + 486249084, + 943991388, + 946188406, + 384685847, + 231434383, + 141741953, + 680389033, + 822665682, + 444399901, + 799183797, + 663502868, + 525755303, + 487019121, + 678607004, + 413471252, + 975144104, + 600232661, + 410453636, + 125643759, + 995333824, + 625072704, + 656856267, + 29165491, + 995396459, + 698351985, + 179153523, + 264982931, + 962247732, + 216429303, + 930388221, + 797840513, + 901444140, + 632566162, + 443659361, + 147257622, + 281229688, + 785370406, + 577252509, + 731936559, + 273753812, + 76779878, + 380368629, + 644275718, + 573230520, + 493659766, + 266905553, + 243566667, + 380853726, + 114931170, + 430751495, + 802318964, + 919127446, + 673178934, + 970375091, + 907607115, + 319313506, + 587301254, + 250999742, + 258792256, + 447081012, + 468733794, + 970626616, + 897978065, + 463664449, + 51397328, + 539144356, + 728740584, + 837285070, + 851810376, + 629764446, + 787280916, + 443292918, + 298992759, + 369282910, + 864984646, + 753903636, + 795916933, + 688922010, + 838829218, + 94284665, + 15509263, + 479376501, + 561458676, + 429169887, + 901950913, + 687756508, + 687355375, + 434569662, + 253369819, + 224996566, + 841357494, + 114495548, + 886494687, + 812746448, + 187540856, + 392036841, + 127095745, + 327286411, + 315200890, + 84297428, + 157246599, + 763142283, + 637770490, + 832677583, + 483569130, + 970479427, + 450326407, + 934091187, + 381667328, + 290242337, + 745057995, + 533205288, + 596242510, + 777546839, + 412524307, + 847153910, + 72760249, + 378715840, + 597103228, + 612559387, + 931986257, + 855861072, + 820309088, + 605509719, + 528765490, + 750796560, + 311999270, + 359922248, + 382974881, + 350854819, + 992673088, + 733944253, + 437015554, + 440981394, + 417248658, + 131439216, + 921810301, + 501725205, + 620447276, + 223802491, + 281081526, + 988528589, + 478355744, + 959214946, + 696577650, + 880824010, + 404671473, + 327341940, + 32317431, + 20632093, + 91096564, + 22818900, + 508487342, + 202034724, + 57999344, + 233609823, + 985933648, + 612612331, + 447616295, + 891828679, + 353172084, + 539546840, + 161740521, + 389477744, + 976353332, + 377773136, + 633080644, + 471328234, + 747249619, + 569689149, + 549460196, + 14799733, + 898787794, + 379352341, + 877998726, + 570107923, + 194509816, + 320007186, + 463390388, + 308607781, + 654123396, + 711851182, + 304809894, + 617155242, + 724319137, + 367406963, + 739244270, + 87910673, + 746819934, + 1178927, + 223818234, + 554632586, + 170983226, + 498414774, + 197951135, + 757131737, + 980448822, + 125626797, + 487202159, + 810996759, + 310736614, + 444506831, + 140418853, + 532051654, + 446905400, + 278577398, + 527950683, + 891820968, + 92906649, + 329905152, + 473144030, + 43814803, + 461257283, + 634758102, + 405923927, + 29220667, + 680335797, + 542156697, + 477131634, + 314185414, + 71910901, + 785906496, + 252926479, + 112854736, + 678531333, + 556628929, + 741722780, + 177925912, + 175365762, + 553537913, + 453923993, + 977490551, + 397779306, + 801129699, + 191616718, + 229632237, + 442420621, + 52927797, + 79284149, + 386709118, + 113048869, + 536654831, + 421800798, + 541397772, + 595264521, + 472694126, + 640955324, + 165745531, + 154866111, + 743678172, + 46045478, + 781287616, + 216750854, + 476770061, + 706449057, + 306686175, + 234358938, + 229869080, + 172751777, + 42956039, + 241195090, + 304152759, + 834631911, + 757190040, + 920247127, + 309562775, + 369773444, + 230361404, + 305073218, + 567408047, + 840825590, + 958762400, + 107669202, + 515797060, + 476521963, + 442557479, + 249570164, + 675065553, + 483014817, + 941495359, + 116372705, + 882279888, + 758708275, + 153093552, + 391149479, + 484238397, + 718314970, + 963258005, + 691794246, + 99793208, + 6338400, + 961825228, + 947006026, + 752473202, + 161659130, + 182496786, + 3122622, + 996353371, + 150446498, + 980812371, + 754700903, + 780407038, + 802268842, + 947780711, + 530444064, + 74369919, + 902045066, + 712443016, + 672046971, + 720031995, + 922881144, + 215081315, + 2250549, + 998252364, + 831236137, + 741383722, + 149891404, + 86913957, + 721854944, + 843451921, + 218572964, + 37230118, + 758772720, + 661958072, + 554509729, + 786751819, + 881667279, + 505374590, + 823682180, + 623172397, + 243120469, + 6539839, + 557379213, + 949475248, + 551823191, + 808601773, + 315679851, + 223597941, + 870088954, + 443794246, + 393456967, + 512552598, + 57799144, + 13360621, + 669560115, + 623026901, + 834837175, + 444927581, + 876725919, + 911501941, + 134128261, + 886925545, + 930224105, + 965896857, + 292879457, + 928914934, + 141727616, + 935680434, + 51851171, + 150396873, + 24847966, + 500915562, + 486757577, + 540019214, + 55853489, + 108621927, + 737156343, + 151923591, + 973143029, + 512270629, + 327127090, + 536883356, + 185914975, + 703842406, + 728797651, + 540188878, + 42160700, + 642880945, + 216563644, + 311624814, + 151782577, + 848252666, + 189560895, + 489896391, + 606673706, + 477062676, + 446644148, + 778873783, + 814837387, + 692753915, + 298254874, + 474282593, + 590440383, + 373937995, + 28664783, + 290759282, + 478670892, + 374793239, + 152668103, + 256529599, + 361741209, + 734661330, + 629656470, + 101372930, + 398054724, + 9636274, + 700938601, + 394375124, + 447839531, + 923825587, + 883887936, + 109190820, + 73982244, + 829186778, + 16513258, + 733663097, + 709063354, + 156942950, + 708088710, + 142442430, + 623079224, + 905067813, + 921787352, + 194898122, + 756352724, + 376358456, + 427240693, + 23008617, + 121954673, + 80670576, + 730172577, + 398047139, + 880342786, + 209505917, + 803036246, + 986832779, + 516548337, + 348678032, + 697340655, + 80870953, + 336297845, + 590579043, + 343049269, + 941476688, + 479867074, + 748968334, + 548677738, + 233667877, + 867548695, + 813565310, + 133826010, + 863315175, + 65369616, + 539960852, + 127648788, + 768336751, + 879231011, + 72685788, + 681114404, + 341483393, + 618641504, + 788543415, + 360947072, + 262332306, + 332846017, + 413342482, + 492065521, + 102755137, + 791322677, + 711313182, + 890734267, + 492150585, + 125125008, + 158457087, + 97204061, + 255896443, + 21662273, + 683490888, + 302721519, + 989989035, + 355583540, + 237787066, + 561453197, + 828929839, + 164861810, + 192138276, + 690983548, + 949279993, + 484955415, + 839515591, + 681853964, + 21380012, + 295171078, + 314087392, + 40374860, + 767869541, + 545272218, + 212003252, + 694448309, + 44344931, + 294686192, + 440648271, + 20916910, + 304839557, + 442586723, + 849649902, + 504233930, + 919804906, + 243756418, + 667790619, + 94325456, + 197539560, + 839452643, + 224087231, + 627657281, + 837977546, + 62922730, + 331375971, + 656602411, + 267306152, + 646542233, + 487011467, + 420200739, + 970374781, + 193136116, + 259551460, + 56982938, + 728288841, + 877085417, + 398787597, + 645414471, + 716729114, + 522970862, + 289335820, + 849274957, + 985782289, + 330336549, + 147831414, + 466994242, + 590239740, + 321187523, + 794232676, + 275379993, + 255595671, + 414539271, + 761754840, + 226070463, + 279749557, + 732716955, + 811049178, + 267851811, + 827283297, + 286282041, + 425923377, + 557700597, + 462224865, + 110283250, + 79349055, + 755741525, + 502338110, + 381407165, + 190857386, + 818974661, + 599482603, + 786949806, + 385480110, + 59045835, + 157508595, + 182230741, + 109034878, + 663875278, + 414664510, + 834570591, + 162208199, + 201896677, + 73169007, + 775056072, + 330562395, + 815702053, + 732871952, + 386497876, + 727735957, + 297512344, + 81102614, + 64476290, + 763774422, + 917856597, + 642712557, + 805370903, + 704418524, + 661864000, + 844613262, + 821173623, + 842084599, + 945420882, + 520178812, + 773063105, + 794559769, + 799900264, + 328083492, + 257583309, + 641450022, + 959167493, + 240352054, + 746212096, + 269576727, + 954496482, + 329632531, + 968567750, + 581413162, + 219409399, + 72863109, + 860214367, + 299985002, + 63422574, + 809876326, + 780785206, + 380595378, + 25228291, + 24290698, + 671549493, + 803549511, + 862783237, + 540871561, + 973377335, + 131801959, + 11176116, + 914264846, + 324107268, + 918567020, + 789962631, + 121197919, + 618432354, + 154456435, + 739408644, + 51975043, + 757920761, + 714140418, + 873931170, + 452598584, + 292123373, + 374357692, + 113426574, + 552896353, + 121348198, + 276598753, + 814778153, + 289076078, + 917730154, + 581892186, + 288423807, + 812924586, + 436475971, + 440860691, + 915416455, + 45972390, + 781929164, + 108115081, + 67895699, + 461145967, + 400782986, + 343751241, + 982140232, + 729460550, + 607555884, + 892556185, + 481211205, + 199154478, + 941194400, + 994988401, + 21201877, + 64975225, + 331511033, + 89723152, + 533112592, + 654513138, + 382203987, + 25875181, + 848441524, + 924504106, + 550904921, + 247212425, + 400103200, + 778578014, + 946038035, + 729967462, + 792567330, + 953244200, + 527344015, + 352484943, + 669514388, + 534144817, + 424467032, + 9675580, + 352381485, + 666843361, + 44034870, + 541153935, + 816210145, + 953213442, + 407931221, + 704341148, + 48330616, + 514704450, + 144695788, + 184403991, + 62960299, + 191076319, + 644998535, + 442223021, + 618251637, + 755340441, + 356681774, + 218131464, + 2978461, + 450513234, + 56953981, + 480386266, + 918847154, + 805051221, + 979852035, + 118357490, + 602408901, + 553500929, + 402905028, + 903200700, + 608983836, + 405465625, + 884447450, + 871320490, + 574492645, + 712721281, + 545141199, + 643122217, + 455215864, + 369286023, + 829432298, + 776340057, + 746110064, + 68400584, + 694929667, + 995903084, + 849605148, + 576780248, + 297871623, + 303644935, + 959665945, + 452916334, + 504177808, + 820330346, + 672231643, + 913320081, + 153716995, + 764632276, + 778920425, + 691358472, + 484676167, + 95821096, + 273930055, + 520933369, + 204880888, + 424771231, + 200001599, + 87544369, + 812055738, + 538360875, + 389588008, + 636287768, + 84756670, + 254316911, + 135791788, + 16698340, + 595254671, + 129897621, + 756266851, + 27945539, + 246861100, + 722185540, + 970046209, + 39132860, + 420284908, + 109249154, + 621775209, + 793429254, + 477823184, + 349975049, + 467697256, + 283134610, + 7435339, + 473904132, + 703210014, + 5884256, + 493905062, + 383020607, + 422180150, + 645579239, + 284678640, + 278157633, + 843814632, + 343164063, + 614280810, + 207149706, + 630108890, + 302060276, + 142419270, + 411896770, + 454642609, + 934066465, + 896529156, + 146798296, + 504507378, + 958966589, + 304013059, + 948429585, + 392481251, + 254044560, + 282406870, + 887025082, + 902797934, + 539316751, + 942190980, + 5252342, + 999409064, + 50427638, + 104863710, + 141514226, + 197878183, + 617105815, + 108470700, + 160936855, + 571960966, + 353857459, + 970714138, + 792518450, + 588528770, + 323896906, + 677665602, + 223925331, + 645076183, + 993628448, + 730498993, + 402415856, + 446794188, + 945405635, + 448390446, + 214111759, + 74497214, + 184142502, + 813117555, + 668871099, + 783119305, + 996142076, + 226135507, + 577796324, + 329545370, + 988992000, + 73044736, + 411465544, + 200504287, + 924848901, + 177046628, + 989795947, + 130728192, + 997915863, + 865837634, + 661184773, + 703324798, + 262713345, + 28593644, + 996184056, + 142245015, + 19508658, + 37681962, + 661981888, + 492487715, + 667415848, + 305802038, + 173225528, + 685210486, + 864388607, + 225597345, + 798535436, + 449389286, + 136315069, + 32345122, + 929895305, + 147323848, + 677431408, + 435047674, + 710520022, + 917237286, + 802170166, + 596301180, + 330141808, + 966573354, + 486292390, + 343187508, + 27664074, + 619814055, + 215127628, + 714645534, + 916021956, + 760532089, + 238737276, + 472084060, + 512188992, + 27980516, + 126239791, + 703842483, + 719181325, + 872476177, + 280828447, + 998014522, + 810156848, + 9095615, + 133505117, + 964341752, + 500824092, + 699278322, + 417738879, + 821867151, + 761302150, + 273113640, + 529451739, + 7504309, + 408075009, + 10481411, + 74292520, + 747006173, + 155794391, + 612619410, + 242364339, + 795031449, + 271265863, + 827379559, + 759365341, + 794503485, + 308729031, + 924636219, + 831682905, + 132824252, + 179956176, + 292387844, + 945907836, + 211902044, + 506896220, + 192162599, + 288497260, + 908500796, + 607926588, + 963885398, + 315597984, + 494049563, + 454462008, + 437321629, + 873175947, + 200142483, + 437404520, + 925119378, + 92051283, + 561832924, + 782446142, + 461384531, + 558199564, + 594402860, + 402201002, + 156307356, + 638004907, + 731912411, + 532324848, + 186539354, + 162472138, + 865653607, + 613957306, + 734426270, + 242605294, + 708775200, + 779255108, + 780575404, + 874213601, + 886138578, + 715656599, + 418436674, + 375892373, + 576968504, + 18837905, + 14295565, + 207589159, + 437850017, + 376276578, + 166671335, + 826636670, + 487924644, + 226221935, + 906397620, + 174988783, + 792880388, + 206995952, + 816055216, + 428250773, + 817658744, + 684993800, + 82264763, + 831309350, + 458138684, + 49574207, + 270808604, + 825151109, + 148770538, + 648239351, + 633278693, + 197076205, + 518606898, + 31609875, + 962334258, + 824591239, + 997100439, + 489774508, + 951961539, + 55532917, + 659325538, + 176288451, + 918122177, + 723005631, + 253014882, + 582037725, + 263157487, + 3226987, + 796837840, + 600602947, + 440564985, + 323683983, + 370872857, + 385407079, + 522181762, + 920803915, + 964023237, + 256516454, + 584141566, + 740520415, + 433128581, + 509928724, + 308512547, + 643674726, + 549080964, + 280856286, + 393373043, + 948578721, + 698656914, + 20219761, + 576665457, + 875751145, + 409713218, + 792417128, + 269686833, + 448714061, + 144745134, + 648564912, + 584178303, + 290170274, + 144220609, + 306987168, + 40841974, + 430455506, + 566729298, + 421638541, + 778783083, + 17289484, + 665864060, + 536448907, + 126696701, + 167350399, + 266735986, + 409472452, + 976393432, + 805632957, + 504865996, + 623642531, + 742001966, + 326660963, + 855964451, + 561728230, + 988533789, + 369677775, + 761348118, + 206908048, + 285112917, + 121948112, + 10216001, + 326844419, + 371012682, + 799016679, + 499123420, + 44877962, + 598595131, + 55759500, + 51703762, + 738088616, + 98209656, + 724348010, + 801684435, + 312997755, + 192933405, + 563251252, + 77398632, + 799269973, + 115590821, + 170009480, + 2228651, + 777714936, + 382386619, + 405782582, + 777244192, + 595426642, + 916499213, + 385705294, + 349128092, + 928141415, + 827376584, + 716968143, + 603054543, + 220710078, + 143824763, + 254336918, + 21548149, + 303017596, + 532072341, + 456543303, + 13156810, + 693132247, + 164645665, + 311352402, + 438434511, + 919757848, + 804380068, + 831343576, + 281023015, + 76366074, + 881646710, + 88084156, + 227155845, + 113409937, + 627831359, + 104898819, + 103785588, + 208051426, + 210291855, + 858669765, + 68193698, + 781562175, + 194933864, + 715413339, + 537864664, + 426704775, + 884411200, + 506387794, + 538414723, + 166925336, + 22617916, + 899135438, + 295979381, + 660818380, + 259192009, + 568165232, + 887937943, + 889030957, + 659348010, + 68200141, + 638267214, + 907878763, + 449360680, + 619530036, + 486146957, + 157855016, + 113905829, + 607392571, + 356861554, + 388402264, + 467556083, + 776034722, + 528301974, + 130837829, + 917795250, + 412425595, + 298454172, + 713167038, + 844658626, + 931759593, + 596015297, + 820499906, + 934172298, + 923506507, + 935338128, + 63807269, + 551927209, + 299286058, + 131227394, + 8229835, + 940560522, + 3897516, + 160616183, + 524416544, + 857250389, + 696924628, + 190758067, + 328678523, + 693607113, + 564963428, + 50942004, + 676453069, + 344114809, + 694022431, + 283065256, + 319127404, + 197135463, + 670145776, + 884206417, + 134301145, + 850926874, + 440868563, + 88579426, + 84462250, + 364416619, + 456465163, + 591586491, + 19282466, + 491689503, + 305745803, + 227096210, + 911057582, + 752703061, + 608129018, + 94112366, + 768584995, + 924799472, + 713539276, + 423324057, + 460020059, + 328595831, + 834830060, + 482597770, + 633175311, + 258061666, + 331582110, + 275220987, + 698049269, + 937872083, + 808084221, + 673665839, + 48404513, + 270077924, + 239756875, + 795473322, + 588518689, + 116699213, + 406211939, + 897031828, + 147768788, + 268451755, + 639755930, + 677931542, + 441388367, + 695919727, + 896599985, + 79313427, + 66418172, + 556643467, + 564347745, + 208554987, + 636279106, + 826963082, + 26550350, + 9696371, + 901847850, + 17434915, + 881515122, + 500383346, + 390089535, + 984749798, + 396253174, + 415759380, + 928819511, + 972088554, + 973904278, + 939157909, + 463790313, + 949992584, + 817227006, + 453310501, + 708966035, + 126911614, + 142165630, + 617832995, + 87855895, + 157636860, + 778557483, + 345371634, + 683055791, + 557601417, + 283904673, + 16356069, + 48070577, + 131148008, + 456728330, + 303395276, + 452301947, + 334037985, + 111029123, + 799277775, + 485555613, + 911878258, + 984390555, + 925335914, + 171133589, + 788657196, + 405548598, + 674442220, + 678980086, + 517055793, + 323572451, + 624014070, + 18426152, + 909431046, + 501316087, + 448171002, + 356807897, + 385581497, + 452925860, + 373569161, + 170959943, + 739464883, + 424322386, + 184090522, + 518569448, + 50247597, + 903418550, + 631257682, + 355273159, + 785861341, + 655523202, + 677360557, + 60538226, + 71942065, + 666553961, + 632047299, + 296725915, + 170136817, + 362924295, + 900045729, + 79227015, + 959514907, + 625586377, + 204409131, + 41504955, + 920070681, + 293610462, + 868053309, + 587403592, + 123251967, + 909823035, + 722562099, + 814085834, + 260913298, + 315275309, + 635325652, + 887606574, + 591824050, + 10866176, + 906955383, + 980401033, + 407159229, + 645749207, + 287087587, + 793280590, + 738329457, + 951690403, + 723874569, + 13066007, + 191254454, + 741302592, + 141418861, + 309603703, + 32593739, + 348501916, + 446688882, + 33767511, + 61101429, + 875336453, + 188295012, + 144988141, + 259053529, + 492472002, + 515699210, + 214493883, + 825974050, + 326253045, + 649238666, + 480881708, + 191150855, + 762075073, + 102431005, + 251903274, + 143063249, + 302665735, + 130854181, + 321900914, + 191588228, + 285659786, + 927817815, + 220041203, + 338476609, + 821745517, + 425303663, + 371361971, + 698185721, + 272180033, + 808690858, + 948477836, + 395978805, + 914443234, + 411794600, + 850922114, + 925875669, + 495965331, + 561805058, + 347943614, + 926614209, + 102974157, + 256834507, + 216762634, + 821215423, + 983424837, + 22765516, + 408606307, + 503958400, + 245838152, + 39206076, + 912296663, + 373674169, + 727157350, + 154889862, + 826965028, + 850552234, + 318042387, + 76539733, + 179953164, + 766460899, + 600536710, + 402671630, + 391187694, + 446276575, + 56226589, + 689888919, + 674349593, + 633491202, + 789352215, + 787915845, + 876168832, + 686601409, + 837876577, + 268798001, + 194426204, + 540786824, + 135135828, + 668919576, + 76883619, + 741633843, + 258900908, + 563099011, + 277110121, + 670752324, + 467625163, + 95054092, + 405971679, + 308091542, + 590842035, + 228898769, + 811342064, + 277242563, + 603558661, + 190005449, + 933646818, + 45433685, + 176901578, + 567104685, + 944899241, + 549685286, + 436015026, + 689002326, + 23537771, + 499029634, + 772409148, + 151507492, + 151831195, + 706167332, + 657400398, + 851557021, + 956966565, + 674757458, + 891160818, + 736178081, + 475097147, + 760027493, + 311706286, + 232261023, + 639073021, + 987578543, + 984777698, + 492143358, + 660014671, + 637076535, + 94909101, + 868845893, + 307224693, + 67978032, + 41056226, + 159530478, + 471890763, + 829449685, + 697338268, + 748560735, + 594457962, + 697133831, + 589748050, + 682037935, + 946108593, + 957332888, + 754300983, + 358640289, + 805186407, + 122487671, + 294074346, + 506861481, + 51235197, + 703022942, + 493306204, + 544108656, + 20932086, + 458066090, + 355948060, + 860238604, + 243390419, + 906323866, + 800076150, + 178303158, + 875728275, + 509046953, + 202730020, + 930257467, + 497925152, + 58373887, + 272328322, + 523723531, + 742075079, + 921653268, + 370322066, + 351159480, + 701164570, + 185395549, + 630859390, + 127462678, + 29158539, + 523984968, + 937956737, + 358545181, + 864582734, + 697340465, + 459421425, + 329438551, + 282515394, + 642531695, + 974865253, + 945839808, + 164945210, + 272220680, + 775888674, + 521449537, + 165054140, + 237645948, + 332836401, + 662464085, + 269596546, + 991650543, + 44392692, + 820354118, + 916960689, + 688669540, + 393110117, + 941451385, + 825025408, + 518251613, + 138426653, + 531194683, + 626059836, + 118032964, + 250684845, + 698795988, + 308653849, + 70340524, + 279576665, + 587910351, + 602087783, + 856501595, + 916601573, + 815623514, + 303315105, + 256352482, + 675645946, + 22037997, + 578954422, + 249247807, + 923330071, + 791726806, + 966052627, + 705556781, + 983110977, + 928759761, + 734691552, + 132262368, + 688188430, + 664914958, + 235271185, + 84337379, + 373664096, + 601794293, + 836096273, + 370594369, + 936981576, + 177766011, + 733684281, + 189210313, + 761804815, + 218996981, + 844736724, + 410150254, + 424302996, + 288585305, + 841056971, + 384455570, + 787260947, + 254687351, + 250075244, + 317220471, + 246365067, + 132677641, + 531083388, + 675669942, + 215494017, + 578482797, + 420714273, + 263359972, + 683669756, + 542127070, + 505061250, + 289802339, + 867018999, + 592498814, + 334100480, + 165891460, + 963288539, + 281914265, + 408655893, + 275222917, + 729631404, + 415893908, + 164779455, + 584715018, + 900483581, + 207066285, + 831282935, + 171395342, + 969355168, + 972515278, + 250691675, + 45536958, + 11009743, + 67537048, + 821719062, + 21904973, + 523395998, + 605628861, + 261855759, + 799438646, + 449983643, + 771449356, + 325407749, + 358367578, + 309998816, + 512460490, + 930037931, + 495688263, + 318284168, + 510783652, + 142620512, + 2867094, + 593363550, + 925668105, + 393009024, + 941025756, + 301656439, + 163852254, + 28912643, + 158553237, + 133201461, + 46954060, + 689945516, + 911523147, + 701178538, + 270580236, + 355407987, + 318630677, + 337564681, + 205086901, + 577977055, + 540415965, + 612178635, + 101364512, + 891430598, + 37699311, + 803594803, + 554433225, + 382760931, + 792107028, + 742350144, + 646413636, + 757969103, + 262713542, + 778523547, + 300155584, + 607976468, + 452203859, + 700998071, + 76575658, + 321148144, + 659250130, + 847525741, + 911188245, + 968515642, + 345031058, + 930559669, + 713725423, + 304805834, + 151362076, + 794772152, + 927306101, + 973483068, + 836348661, + 554015342, + 336743932, + 558982094, + 743876959, + 876121073, + 879962923, + 835723801, + 105652703, + 709542582, + 284365195, + 709446046, + 256587421, + 723975227, + 457760420, + 812363053, + 932426145, + 599981523, + 191330384, + 998420366, + 165460994, + 400424269, + 540484158, + 872483576, + 436331635, + 356362959, + 866098452, + 229379060, + 51451725, + 133945514, + 447677920, + 770499142, + 678192075, + 548478470, + 526702050, + 636267288, + 483150326, + 790587892, + 773590396, + 191166688, + 858118688, + 979223018, + 497625795, + 855001392, + 125748804, + 568063716, + 854334623, + 428730513, + 897030034, + 971478914, + 809497246, + 507930181, + 221556357, + 604926130, + 213160079, + 7911590, + 614295538, + 50770494, + 371684224, + 861306492, + 861549264, + 696718950, + 678889581, + 522900739, + 812952163, + 243625384, + 575566153, + 896174564, + 221601374, + 208325253, + 116101981, + 982602467, + 196531346, + 113409245, + 528046868, + 184299619, + 975638877, + 659795945, + 633916421, + 325663955, + 518255513, + 760304175, + 914556900, + 354467660, + 909423416, + 512743817, + 330770917, + 231859342, + 226659880, + 968620404, + 439670840, + 57705089, + 280621796, + 718586638, + 874814543, + 202059070, + 903950529, + 766471613, + 304881685, + 919190292, + 163980363, + 738272581, + 511078708, + 813038036, + 130100323, + 140116400, + 34500025, + 177004975, + 205280710, + 848336001, + 6474910, + 578879877, + 676665586, + 474422896, + 693311722, + 726587245, + 407466403, + 372820996, + 646489613, + 430931662, + 610717070, + 69019138, + 897420002, + 155438116, + 688892794, + 43855050, + 267070466, + 88719168, + 46434770, + 904940428, + 806481289, + 301617425, + 814373108, + 978102137, + 657721071, + 648890928, + 902059810, + 374682927, + 500001187, + 583004571, + 680660479, + 83476396, + 952050749, + 147142124, + 667868984, + 657981113, + 102671734, + 358784078, + 406697934, + 707360486, + 79134085, + 604272737, + 802224196, + 359174134, + 905288041, + 791473640, + 705865359, + 590596904, + 482590074, + 925952674, + 249054790, + 180335802, + 805655799, + 746382056, + 323052014, + 899967149, + 32984016, + 537312948, + 132667091, + 834672206, + 67723077, + 436776631, + 720157959, + 445584565, + 172829630, + 342353780, + 210551357, + 970813894, + 476334706, + 180353311, + 628928452, + 602225966, + 630556805, + 717321883, + 392963294, + 99908994, + 608294323, + 444400321, + 606894858, + 388718499, + 645952890, + 960802119, + 815989760, + 611081929, + 515344465, + 513745265, + 478997037, + 841229177, + 81699563, + 759153050, + 290183996, + 553585503, + 258645917, + 395561574, + 838949038, + 699144010, + 400097453, + 571410236, + 742353342, + 284590289, + 724337428, + 639213966, + 188625724, + 667340156, + 905643341, + 113801389, + 129651186, + 466292399, + 49327126, + 726348983, + 580551664, + 522575405, + 485001534, + 32732886, + 492505603, + 776219900, + 413569230, + 937198155, + 581047538, + 862338393, + 735628726, + 42344845, + 650356065, + 740921998, + 476714290, + 280044829, + 390324929, + 639307692, + 277601448, + 130490230, + 981471572, + 445515616, + 55039966, + 139395400, + 992187062, + 176428499, + 84483977, + 373695028, + 866137141, + 887707339, + 972632444, + 135577939, + 144522927, + 45395272, + 932859467, + 3304288, + 596864250, + 98607035, + 330198971, + 589425880, + 205294887, + 817961346, + 898055339, + 50025294, + 237907481, + 754693395, + 886319703, + 343529901, + 358161878, + 57883200, + 481423241, + 744249684, + 479802159, + 901964104, + 26400013, + 808880608, + 382363714, + 753484364, + 646117930, + 381035115, + 562411862, + 450448173, + 376350285, + 734567770, + 158001496, + 828150606, + 191238366, + 641198638, + 311865738, + 623345660, + 588807770, + 19064924, + 860408002, + 7215291, + 160532920, + 404924763, + 25558595, + 85980775, + 641483392, + 695974581, + 443713208, + 711205642, + 891325696, + 888101740, + 652300377, + 103451107, + 132337129, + 27502070, + 948014283, + 17432707, + 631532195, + 663291589, + 616281819, + 919043717, + 757543774, + 45245528, + 302654374, + 328556942, + 936274297, + 176231505, + 151888113, + 351931047, + 364991243, + 868237703, + 747414509, + 954295354, + 662728395, + 407927180, + 701763401, + 12120358, + 233229959, + 966364394, + 378388142, + 595958622, + 855750799, + 860593286, + 48893470, + 359440557, + 37816729, + 832386225, + 659673076, + 776627678, + 442541449, + 363031215, + 801506551, + 769684159, + 375244167, + 275585422, + 956835861, + 720893326, + 156903009, + 396059299, + 445843775, + 389052259, + 340385495, + 34824334, + 561486049, + 30009939, + 372130312, + 411525921, + 36921145, + 53955169, + 711368141, + 220391230, + 782784952, + 749903946, + 834534156, + 364576311, + 480528678, + 322418017, + 645506118, + 472648710, + 260737466, + 872832886, + 324645168, + 766133278, + 925335001, + 261580448, + 487355484, + 395538348, + 117930219, + 419601748, + 475634067, + 671184525, + 276454446, + 78836157, + 638263388, + 14933760, + 533073125, + 231288575, + 948878832, + 521165023, + 219182772, + 7816096, + 58434354, + 738294610, + 601400928, + 502409390, + 139330536, + 104265080, + 760578555, + 289141574, + 666481811, + 477865324, + 765546483, + 167353989, + 281862569, + 164836432, + 326949968, + 992394590, + 484755863, + 261339860, + 884945072, + 991226987, + 849299889, + 103312384, + 676566652, + 611663090, + 500238707, + 405924087, + 434854045, + 375728396, + 443188028, + 247909028, + 681248163, + 520568537, + 746173706, + 871012858, + 123196665, + 80291871, + 231424919, + 245773292, + 120326785, + 483431738, + 206735911, + 705494418, + 258101346, + 589081226, + 238546689, + 724522547, + 455866600, + 36884090, + 208620713, + 646876678, + 636863122, + 919820500, + 962138799, + 65024136, + 938163587, + 740764418, + 771308598, + 804687401, + 371488709, + 82211194, + 996131667, + 123631037, + 179351493, + 157282064, + 975598215, + 717449574, + 814700806, + 539394511, + 365985310, + 756708917, + 888967856, + 373365499, + 305980342, + 225348052, + 929194678, + 610705307, + 211098695, + 771819106, + 263123564, + 711998233, + 52320014, + 595787038, + 273241116, + 466831716, + 385016640, + 556643335, + 726987307, + 746062282, + 736406683, + 921367943, + 785642029, + 31326659, + 145228692, + 415137177, + 737999878, + 100571572, + 178792177, + 499739869, + 186880494, + 596467385, + 970655117, + 521656287, + 462513197, + 132620834, + 387744314, + 238651287, + 694175528, + 70184414, + 519167856, + 522521537, + 2005858, + 218767832, + 680742007, + 438257374, + 76817528, + 688452568, + 895354733, + 918866191, + 7318798, + 609268671, + 186245199, + 603551033, + 489650150, + 840125047, + 296496959, + 297448780, + 242646618, + 510733932, + 590619730, + 667547869, + 358480680, + 889204903, + 623045270, + 217094185, + 235555929, + 742665461, + 408497822, + 337635002, + 965559064, + 685412141, + 459111378, + 885024629, + 460239279, + 5275609, + 167669090, + 81206502, + 111807514, + 506352447, + 141729644, + 79543454, + 417294650, + 894618098, + 132839841, + 767973196, + 233992958, + 712019970, + 100635612, + 357774572, + 117741945, + 864258788, + 314356190, + 537802534, + 686656167, + 722712393, + 81405732, + 518593552, + 722854357, + 408540965, + 254507342, + 788627036, + 158334603, + 443525180, + 620505678, + 517229011, + 809220119, + 231034807, + 134266248, + 313223891, + 328809813, + 79067639, + 300355335, + 202040856, + 371687074, + 581700088, + 849877180, + 57248930, + 791248509, + 185817881, + 671496747, + 203529097, + 10908228, + 632668273, + 434867216, + 857392007, + 107665785, + 591137820, + 3457647, + 640008124, + 656690000, + 680937823, + 679996340, + 856842106, + 131105789, + 905995003, + 73252569, + 290244745, + 844528600, + 473319890, + 602018894, + 98436196, + 264942163, + 272478100, + 946681686, + 54353880, + 822008960, + 825171091, + 137304229, + 520827470, + 470341839, + 742372521, + 562173570, + 589302737, + 22596466, + 145674450, + 444869534, + 130331603, + 965804630, + 462788376, + 593796803, + 629873139, + 113830036, + 138624301, + 562385004, + 330492632, + 274627018, + 340715208, + 53375996, + 616817622, + 420492159, + 166972126, + 980686687, + 11864210, + 678297785, + 811962436, + 175046252, + 227458614, + 667382936, + 541147984, + 514755933, + 130355527, + 392069061, + 496693252, + 733930050, + 337945022, + 509805981, + 848100440, + 18761095, + 111160059, + 737318808, + 221722521, + 482226709, + 181496172, + 793850136, + 172127868, + 751755810, + 457577469, + 763562719, + 540089068, + 225930282, + 164908279, + 39937272, + 992340001, + 917459431, + 237904607, + 66472213, + 95176975, + 562097284, + 667616317, + 172420928, + 184147575, + 505315245, + 696228224, + 647580524, + 619570466, + 912909519, + 331284995, + 548924687, + 246699567, + 564260391, + 431793115, + 537509031, + 5092482, + 970987775, + 424366246, + 560858810, + 946022098, + 520062930, + 749339692, + 540877886, + 746572627, + 114133095, + 749392516, + 16860316, + 810445549, + 301546279, + 210908134, + 972602750, + 544317778, + 922234798, + 763715953, + 51793920, + 231693922, + 699194813, + 328712687, + 675769966, + 770860114, + 21887398, + 308181865, + 113473133, + 384811424, + 944859136, + 597676756, + 941259184, + 354562037, + 962741347, + 180379369, + 758900544, + 806343119, + 146666667, + 426910382, + 532647178, + 273309101, + 829716007, + 882377450, + 432108257, + 389619105, + 234685509, + 596005058, + 109103774, + 45512734, + 763657892, + 628550407, + 377680891, + 159883702, + 145768788, + 473122713, + 762276165, + 791794601, + 496248877, + 998262218, + 58723405, + 441605100, + 972663438, + 816136569, + 961695276, + 660726364, + 149536649, + 974695146, + 46248201, + 798781321, + 982115087, + 978781286, + 603643482, + 502812608, + 919781707, + 60725272, + 387210601, + 618470497, + 508235175, + 573015316, + 63599787, + 592138958, + 500608861, + 818917981, + 991164358, + 830669907, + 403706840, + 985518779, + 626947546, + 308275356, + 929851297, + 328485766, + 986034355, + 709529008, + 545511116, + 675471861, + 185170364, + 68369936, + 313645790, + 455534672, + 537874596, + 836721303, + 768564597, + 971112960, + 431213377, + 86979324, + 69877533, + 67043743, + 615570859, + 162488353, + 915923213, + 24833089, + 737741332, + 580491192, + 128691197, + 380957538, + 862869118, + 807503123, + 355051218, + 36031037, + 508249730, + 4497248, + 990922003, + 489594474, + 327302059, + 468795969, + 12613873, + 183490612, + 776918793, + 814735371, + 888471277, + 318111325, + 856392012, + 703498871, + 585142103, + 392008124, + 643649758, + 731378783, + 601952208, + 314300299, + 463033312, + 574278617, + 123099244, + 509136559, + 22539099, + 13413800, + 745656969, + 928771153, + 394531939, + 783924753, + 271982955, + 834261322, + 945961670, + 398133718, + 291377161, + 731914184, + 355139025, + 441598564, + 175150545, + 509435909, + 906650728, + 925837964, + 277877668, + 816521268, + 113311795, + 161729781, + 792107286, + 525434849, + 225182811, + 986834893, + 508659945, + 762347912, + 890287352, + 584048637, + 907244699, + 118205212, + 268103601, + 171416042, + 79742277, + 552115615, + 482979511, + 593772893, + 5068208, + 836135129, + 422920176, + 20050101, + 383807519, + 419879565, + 455943056, + 651636323, + 758753484, + 411395313, + 292445010, + 704600300, + 420861918, + 799379751, + 449538926, + 81295305, + 928690853, + 722011020, + 446697166, + 47538366, + 858989284, + 198063068, + 462564550, + 183519410, + 779940492, + 205671995, + 895155875, + 529054893, + 446239514, + 199157217, + 518257111, + 396114126, + 68563814, + 874921879, + 736323592, + 441584109, + 65732508, + 348190076, + 326245510, + 226414391, + 225689536, + 148128704, + 940827687, + 294773386, + 379081324, + 871315023, + 356943149, + 133004656, + 737776189, + 240591746, + 11156653, + 240973618, + 955292202, + 294499230, + 359599684, + 496133300, + 833820808, + 783928834, + 294607360, + 736858450, + 431169489, + 401522594, + 463403692, + 476888642, + 471793753, + 606662505, + 423636130, + 433149478, + 136686782, + 390296992, + 564776675, + 418098783, + 146889284, + 537883423, + 305493804, + 785934757, + 187660481, + 930545770, + 983250812, + 925917079, + 513152098, + 532050797, + 805380179, + 908309857, + 345686684, + 125425291, + 266242629, + 62889205, + 806457212, + 945499116, + 35879420, + 434120915, + 682346695, + 526255071, + 539963819, + 596174073, + 631654580, + 167180270, + 730795208, + 714868912, + 364768101, + 309628853, + 827484660, + 506982923, + 791570877, + 159532933, + 475634968, + 172958200, + 526137436, + 414835473, + 593935992, + 232124616, + 354405078, + 730163246, + 38665014, + 147711594, + 356481243, + 935325489, + 192349232, + 130024821, + 488412762, + 989165625, + 977898574, + 284523049, + 89357299, + 237356403, + 1527762, + 373057482, + 345785965, + 673141922, + 664997469, + 9845404, + 239495077, + 68845102, + 357835869, + 721149139, + 927753384, + 172578787, + 245734052, + 743209878, + 417669399, + 826515189, + 875916799, + 824755926, + 90763637, + 950111811, + 415328260, + 414756725, + 800640977, + 680127208, + 102774729, + 357160509, + 338445309, + 322849954, + 350631204, + 157135219, + 982150301, + 642257214, + 214308629, + 726715764, + 436555339, + 561180237, + 253118780, + 186774497, + 631240209, + 861612728, + 962405460, + 310351171, + 474040803, + 199609960, + 57756402, + 482733128, + 940916274, + 127583600, + 266065977, + 160253772, + 966547415, + 664172956, + 508345748, + 997741474, + 604685218, + 443873540, + 318438316, + 919802939, + 592839954, + 831450338, + 452756860, + 74430138, + 764054924, + 108425985, + 688645583, + 736918715, + 521394149, + 325645175, + 374035690, + 827944461, + 430475951, + 179184865, + 481158399, + 970058432, + 93520511, + 97257965, + 137602799, + 748667640, + 338327387, + 69368916, + 151879537, + 532321217, + 995156585, + 605886895, + 173454269, + 894405403, + 275909606, + 696258561, + 551794779, + 134088996, + 921268720, + 755899823, + 670951680, + 660248940, + 571176837, + 318654231, + 729244383, + 89591999, + 76668422, + 557667945, + 517952584, + 693197222, + 142054279, + 824583944, + 339182415, + 902197269, + 578170545, + 517071793, + 107756137, + 910319728, + 108186706, + 652517552, + 943389504, + 679664199, + 351134214, + 866141506, + 695090336, + 381582395, + 241302379, + 512158508, + 498921022, + 467515942, + 516966699, + 97958864, + 584039673, + 92911284, + 421915439, + 932381060, + 227247835, + 630256980, + 755597990, + 300662031, + 834880969, + 502878425, + 878772216, + 382464202, + 410564427, + 882937539, + 774035424, + 213214061, + 955445835, + 606560688, + 165827270, + 118841858, + 427876392, + 426707812, + 285566898, + 17592272, + 832166691, + 848426341, + 10485695, + 948850914, + 669931590, + 776991342, + 743580684, + 125091775, + 211311874, + 906249638, + 67900676, + 55538096, + 251908071, + 592576792, + 442510483, + 418665084, + 59821538, + 352956732, + 706234830, + 402660839, + 744793216, + 905542122, + 182797697, + 369020518, + 787948633, + 720842438, + 405663671, + 543045805, + 252867354, + 773087928, + 410072448, + 888168454, + 361539234, + 796373583, + 460281799, + 948544634, + 89122264, + 171737134, + 790003949, + 405745833, + 646528811, + 535999454, + 728563231, + 47172722, + 934568870, + 505574159, + 499248629, + 730208718, + 777213835, + 160939827, + 437210596, + 296600448, + 475054581, + 461567173, + 908728238, + 706154383, + 690270470, + 923797952, + 654168770, + 824801377, + 590454439, + 324316702, + 746059699, + 629890079, + 148859080, + 289153751, + 542504294, + 853884878, + 614867754, + 396440219, + 47330225, + 193068917, + 732115039, + 85581227, + 655192194, + 627934413, + 620243179, + 245329978, + 289676684, + 127839270, + 714073460, + 382362263, + 742014382, + 297125342, + 889770224, + 920630135, + 894601449, + 487107235, + 354687789, + 715960342, + 370469297, + 732283027, + 125082576, + 953829476, + 997853643, + 454594146, + 470999420, + 378181663, + 519186829, + 167145679, + 988218119, + 406512976, + 570465032, + 141144173, + 8314213, + 979870996, + 173186069, + 322376416, + 238544927, + 460199310, + 286894443, + 517468391, + 117630339, + 315988658, + 349101085, + 364918043, + 990873650, + 12654796, + 488556705, + 627482707, + 603343210, + 460697828, + 497388155, + 439226955, + 814342221, + 250171005, + 892520764, + 855103887, + 454432090, + 657234319, + 207140674, + 528561702, + 319680754, + 130833035, + 593665384, + 883477392, + 968904449, + 646557904, + 186957500, + 684109809, + 592870837, + 777771883, + 776795938, + 789660442, + 236073132, + 349863627, + 532213347, + 927142953, + 643496788, + 332154261, + 907340648, + 782908281, + 470654992, + 920993589, + 847847271, + 121873692, + 332850311, + 338862278, + 578878832, + 106135192, + 571310506, + 798057182, + 335420646, + 619715819, + 34820268, + 465354077, + 223517842, + 113369403, + 38206018, + 815773300, + 353944934, + 821714651, + 535479512, + 138563145, + 997699381, + 143316945, + 787507188, + 758688684, + 493805656, + 729220263, + 39906807, + 970813322, + 733748031, + 341646503, + 471093151, + 292451775, + 188349683, + 736618190, + 464505831, + 389625868, + 625361156, + 991443089, + 878151510, + 55888442, + 594152939, + 12494394, + 339373325, + 958238469, + 357084495, + 541280896, + 556350947, + 865290887, + 660898378, + 890066179, + 637263677, + 862889353, + 890820908, + 599086340, + 394909081, + 273747662, + 446477613, + 889416404, + 653482764, + 874938425, + 115291359, + 58732885, + 533469315, + 845346093, + 310247608, + 151972838, + 355275116, + 583381789, + 201815586, + 693824831, + 220353018, + 25968025, + 157346556, + 568993587, + 745767988, + 232416049, + 664894252, + 423906825, + 751886640, + 658681857, + 579195005, + 170490400, + 838846573, + 205966259, + 278316866, + 939319474, + 773795755, + 117211327, + 446302078, + 719363665, + 111195129, + 108951313, + 975780548, + 997663798, + 596688878, + 186611091, + 527306372, + 950529752, + 275895953, + 53409520, + 890970779, + 618243460, + 200925466, + 536279771, + 997873588, + 187702893, + 861936503, + 997488926, + 246271163, + 599166785, + 786380875, + 802187158, + 470812596, + 470567163, + 430011078, + 808624719, + 940715203, + 95160261, + 774261935, + 494215562, + 665245754, + 289552077, + 128092541, + 938645517, + 749823126, + 309402520, + 227027475, + 894768091, + 120245482, + 839935764, + 721698797, + 165846899, + 96538926, + 897092232, + 58377861, + 854437709, + 734047029, + 54134707, + 241154724, + 739668748, + 672913792, + 478958172, + 229884339, + 706416642, + 219066762, + 987781653, + 166133913, + 209825807, + 697715994, + 330779143, + 547627419, + 704444116, + 152044971, + 754197169, + 214086460, + 871917310, + 274437444, + 410004769, + 214828452, + 895936299, + 649942205, + 778398893, + 411566421, + 654401003, + 887756481, + 952211613, + 272426064, + 739438646, + 864260045, + 395060153, + 651949643, + 975774067, + 648771106, + 395611592, + 609966369, + 871801698, + 778167750, + 916317463, + 512011068, + 666109481, + 907972724, + 11768846, + 553132196, + 550624824, + 198957339, + 425252375, + 35595768, + 577997037, + 725911448, + 693563862, + 4937500, + 217323776, + 783574472, + 581035139, + 697595682, + 541928388, + 207331809, + 10528246, + 816036631, + 258632450, + 36189794, + 205269194, + 604048001, + 284862093, + 121100828, + 739846682, + 883391181, + 642894820, + 669783298, + 227374927, + 918462784, + 696525062, + 409548938, + 27397397, + 524570189, + 330278584, + 69438076, + 774720248, + 190321577, + 744040611, + 739490484, + 903941854, + 854955435, + 582335013, + 214135089, + 104040531, + 5259239, + 770918722, + 478552077, + 611592488, + 210109870, + 127206871, + 655958553, + 585914036, + 634870727, + 740693186, + 459438391, + 615806311, + 317352958, + 906714971, + 472600376, + 214328363, + 901165102, + 246550359, + 495070362, + 491992279, + 846202946, + 266907329, + 828421802, + 818737528, + 952886501, + 189269502, + 896928831, + 78344931, + 551986206, + 453316774, + 346665261, + 797451291, + 395231582, + 260670970, + 883055220, + 774812666, + 627056990, + 686018843, + 173843287, + 142297782, + 603805165, + 923471312, + 527338922, + 986850229, + 645773593, + 462806468, + 366711049, + 858404732, + 666246775, + 19728500, + 294911667, + 149831492, + 351382310, + 669751995, + 186997274, + 766824519, + 72249024, + 44430075, + 541375988, + 949432299, + 421180942, + 872378599, + 852716712, + 477806186, + 303201264, + 450189522, + 180176349, + 617860906, + 269029013, + 807272582, + 109078354, + 549804112, + 504483761, + 570220036, + 961246351, + 95140550, + 521457389, + 936128962, + 678132915, + 432014259, + 840953601, + 304212276, + 28316936, + 983680213, + 715789277, + 991105077, + 785147537, + 419999752, + 250345589, + 722605857, + 628411635, + 627622318, + 37703820, + 196082842, + 818863697, + 120001885, + 172838216, + 180400384, + 195249769, + 658073595, + 189541805, + 973996132, + 465349113, + 966926666, + 681566038, + 562364524, + 279661709, + 993903829, + 502226901, + 525158704, + 180172612, + 731044762, + 491604204, + 9733311, + 160829924, + 382645562, + 673690856, + 256056606, + 865875092, + 704435027, + 316220615, + 437576362, + 178235074, + 876840393, + 474872524, + 230140121, + 180873059, + 14121867, + 11044191, + 125982327, + 111080628, + 830931203, + 346654760, + 381636351, + 182088576, + 939211120, + 383740565, + 955571578, + 952435280, + 536286369, + 139192642, + 541100978, + 902873727, + 866002586, + 359274987, + 914634977, + 151081015, + 407103355, + 261833189, + 629620720, + 665719100, + 998463848, + 181325618, + 872779980, + 867829061, + 422441638, + 495725118, + 592032780, + 417970460, + 579928173, + 877817931, + 106290997, + 717269259, + 58900671, + 817418104, + 640380163, + 567698976, + 437298919, + 859490629, + 197598389, + 523660651, + 222472653, + 612611145, + 271865376, + 693853853, + 208104193, + 156108307, + 893739819, + 67998836, + 431898785, + 963230558, + 550080832, + 457933133, + 471825027, + 563964247, + 967407438, + 658896042, + 488310086, + 983488917, + 683191107, + 190417544, + 87324813, + 57241675, + 226741342, + 12523918, + 756559064, + 395024800, + 429208749, + 52913037, + 503797309, + 17879225, + 354032587, + 359914191, + 598191715, + 583338074, + 85104603, + 836253297, + 555151306, + 178505156, + 27405871, + 473720620, + 475452424, + 535930132, + 613348063, + 812280582, + 436480941, + 564624032, + 35462251, + 928753687, + 682999495, + 502946546, + 300705276, + 91933735, + 194048327, + 43741771, + 465567751, + 297755975, + 729761980, + 782762318, + 634039038, + 233419873, + 858630959, + 461863856, + 354375560, + 224080945, + 681538862, + 141580372, + 951561499, + 807826395, + 395103570, + 582544384, + 354794434, + 784275095, + 938822298, + 890183321, + 847073222, + 852285850, + 760197151, + 994335122, + 307821300, + 867574159, + 25033177, + 330790694, + 252964, + 229801110, + 653647795, + 665888536, + 726104709, + 528544429, + 979057446, + 228588398, + 120373773, + 935331104, + 520646510, + 949894265, + 176545213, + 501395480, + 588029964, + 45041616, + 969672256, + 986313592, + 96621476, + 807171205, + 599046826, + 492871089, + 475801315, + 867010667, + 301250337, + 158944538, + 939039233, + 866027003, + 323942634, + 95505376, + 867207722, + 589580336, + 424295263, + 419535757, + 169073176, + 558294184, + 256464261, + 820852558, + 48074509, + 941350327, + 719175369, + 958584502, + 79571628, + 573363434, + 673003058, + 896671424, + 341127484, + 500237726, + 550658291, + 724734946, + 778747581, + 324791692, + 914014994, + 19034269, + 516628774, + 464399592, + 101548733, + 678702314, + 796487595, + 480099257, + 817185108, + 544518124, + 539625709, + 179953146, + 768581955, + 921985621, + 565873045, + 145973515, + 551707100, + 440641639, + 67102758, + 376529953, + 994072568, + 672757942, + 165144321, + 247230159, + 319740056, + 901370681, + 549904836, + 512221415, + 234924409, + 960394843, + 231057882, + 257924299, + 760585219, + 874538056, + 318818325, + 484671725, + 188430217, + 16383767, + 374829728, + 13994853, + 714106481, + 852568786, + 549043724, + 462491242, + 218596678, + 216563368, + 754994128, + 288992621, + 335176735, + 603469568, + 900906633, + 859908452, + 726452161, + 690766078, + 690623844, + 3948411, + 262217984, + 211791453, + 230830478, + 328037297, + 371781464, + 298281271, + 526469479, + 464900742, + 898678115, + 525921895, + 875706489, + 571867960, + 809757355, + 640392801, + 314182298, + 408264483, + 709739868, + 272625843, + 804220068, + 997829449, + 820667808, + 984975374, + 434094896, + 472843342, + 988246858, + 391824861, + 942211323, + 962949687, + 609588325, + 464205437, + 159089412, + 497778439, + 150595707, + 801298767, + 379488945, + 433605679, + 181123815, + 401563763, + 664164585, + 124955801, + 919193945, + 986232291, + 961626928, + 152728533, + 102282651, + 507765658, + 94169795, + 929683763, + 659437654, + 405719841, + 931028985, + 19690189, + 350954787, + 599495668, + 523495309, + 211663620, + 376290070, + 967172594, + 938885688, + 625692791, + 551453640, + 95458749, + 331237285, + 779413563, + 102917623, + 471574875, + 2990259, + 994346371, + 950877142, + 684969702, + 590754569, + 809556027, + 944601190, + 723121467, + 732327085, + 261683588, + 298568299, + 733176961, + 180637927, + 388881275, + 652410463, + 196052455, + 394881676, + 12409119, + 546500116, + 429695008, + 84930751, + 398810167, + 672366618, + 109294807, + 758703386, + 291691830, + 779401424, + 534995317, + 861826117, + 235394545, + 115705260, + 935581145, + 692060362, + 471005276, + 833513897, + 92224663, + 942919201, + 846986509, + 858722058, + 853214023, + 20288554, + 896909347, + 705814227, + 644941594, + 501149299, + 139942743, + 918974085, + 941879232, + 907738629, + 381885920, + 936949593, + 789623534, + 831859236, + 844461341, + 244128135, + 777521232, + 392369366, + 519717987, + 196334833, + 654043504, + 800316207, + 381708954, + 408502590, + 364760741, + 295798822, + 471704797, + 157224673, + 395988323, + 52785729, + 947755677, + 207435779, + 721988696, + 517858146, + 981443381, + 967816489, + 771388873, + 168961272, + 813931488, + 798892198, + 145383069, + 549099626, + 368304867, + 685290692, + 548812448, + 346431389, + 327340608, + 195470042, + 501823481, + 720978970, + 53003467, + 188990822, + 67661121, + 995352031, + 871792734, + 558813346, + 292858488, + 897358336, + 388871295, + 715908016, + 955842869, + 42133877, + 848011477, + 598437631, + 472523095, + 935212530, + 835856962, + 761930488, + 425755983, + 9681735, + 945728646, + 624857960, + 876623440, + 297924908, + 141609281, + 305202769, + 783074460, + 592483743, + 483650675, + 937134075, + 929529045, + 453049415, + 332716547, + 25891933, + 43298149, + 620189402, + 740182449, + 804203390, + 961154528, + 485205369, + 543414088, + 911961502, + 384008312, + 636079646, + 860103778, + 268879414, + 196047970, + 532726830, + 172773709, + 709103162, + 383189862, + 130184298, + 608583098, + 941799322, + 55139063, + 37863988, + 542154321, + 825326096, + 491983144, + 692907788, + 993944855, + 871788197, + 519285221, + 934486987, + 549449865, + 4136852, + 662737433, + 494628227, + 336108695, + 681379274, + 215548536, + 971637643, + 653171883, + 500888915, + 156376863, + 833319174, + 901418676, + 124658927, + 890058062, + 681677509, + 49856722, + 109878491, + 146473580, + 988813651, + 502367556, + 710549523, + 173844269, + 565962839, + 508734931, + 656755234, + 61285755, + 449760921, + 58444106, + 834322306, + 940832309, + 674443005, + 506473316, + 148902852, + 219085746, + 101005201, + 851116813, + 76998774, + 159569609, + 172637413, + 346744429, + 288354669, + 737034367, + 795616791, + 660786867, + 946349502, + 469048460, + 924167714, + 633339066, + 672676287, + 583537173, + 46853181, + 436623825, + 381270508, + 981342049, + 552166197, + 216744960, + 49924696, + 821442705, + 91565010, + 818880137, + 749544345, + 6383306, + 805383169, + 36380130, + 552742605, + 665308867, + 889021708, + 320737691, + 984907707, + 989295754, + 712399271, + 966922214, + 651618501, + 760600576, + 237790158, + 541480644, + 352873768, + 212185443, + 856638777, + 731997101, + 87243773, + 363863470, + 317091219, + 868823383, + 22041901, + 776412125, + 866381354, + 954261885, + 925067148, + 76869787, + 145671420, + 871346165, + 44628787, + 184775451, + 209128476, + 970342343, + 505298592, + 891518382, + 437767620, + 425395266, + 573576230, + 445213238, + 338394821, + 493976750, + 840066155, + 191063403, + 424038545, + 823052804, + 715153154, + 60456180, + 688565747, + 109490869, + 997141523, + 100854523, + 722908753, + 545031224, + 780775759, + 801197772, + 890615662, + 489644866, + 949703683, + 888629689, + 592122628, + 613528642, + 308896844, + 531845230, + 452357088, + 836630425, + 118629843, + 427925568, + 745084968, + 852691336, + 555071334, + 978013444, + 483774537, + 487160899, + 868906818, + 142050346, + 341462793, + 351128587, + 323290699, + 306523382, + 208828127, + 185375249, + 862042214, + 125334925, + 877453024, + 310587611, + 583690444, + 43994531, + 30838351, + 973710608, + 93936280, + 65494224, + 3059885, + 549639664, + 947295929, + 927061134, + 482091306, + 337345301, + 386979688, + 417058477, + 250988759, + 683397464, + 873979134, + 140318905, + 33763854, + 465597417, + 717122705, + 185107928, + 50901857, + 639268474, + 637173356, + 937258188, + 16477705, + 455804326, + 380687028, + 36424122, + 331699849, + 926817318, + 25695671, + 744359055, + 680960917, + 608377789, + 319923038, + 194026819, + 715230264, + 103545495, + 36101888, + 173932070, + 376050809, + 780598189, + 656912696, + 242981346, + 614656577, + 473697773, + 523181652, + 112677835, + 702589236, + 162765979, + 159950981, + 700608055, + 811710652, + 741812727, + 562652964, + 155836630, + 711650664, + 726208376, + 307306791, + 381398893, + 469695914, + 453779125, + 782779644, + 779947304, + 561386081, + 563659010, + 467524582, + 349788050, + 170778200, + 4798427, + 70060982, + 827058942, + 549783419, + 843405480, + 597589910, + 758510542, + 729927733, + 983758977, + 608240097, + 368453686, + 398547407, + 652349651, + 138514395, + 280901268, + 998194101, + 306671114, + 237518443, + 80603323, + 64722467, + 189117823, + 74056010, + 866272455, + 57054978, + 174427826, + 376469395, + 366106917, + 414626613, + 936557367, + 779780365, + 72767552, + 215732257, + 356031807, + 431284292, + 430455360, + 231451542, + 832888694, + 650609490, + 609818692, + 549688365, + 19463480, + 847723999, + 525224611, + 247519092, + 862926659, + 105574295, + 889755444, + 540676380, + 617771682, + 211357184, + 205732607, + 457504712, + 260717587, + 889434271, + 205709759, + 344441039, + 129472903, + 133437551, + 847553136, + 147089818, + 704646622, + 718128711, + 588113305, + 470295204, + 378923226, + 837622064, + 160341370, + 883110304, + 956199565, + 863899603, + 386961488, + 364735922, + 856703585, + 699280985, + 340839047, + 287812156, + 50068143, + 25493241, + 953450383, + 526351344, + 617855218, + 677721453, + 56794912, + 131088625, + 917961701, + 528390797, + 688848881, + 555199129, + 707701594, + 13455631, + 963468477, + 97831921, + 99289752, + 677352202, + 650025640, + 491151110, + 278048345, + 851649542, + 3107482, + 295348994, + 125928009, + 678213983, + 180328979, + 293999008, + 377506103, + 941109334, + 927003839, + 151861142, + 628873225, + 304412041, + 815208724, + 767090152, + 2474284, + 243670433, + 336216048, + 861487777, + 414176903, + 419940991, + 378185616, + 657160804, + 562336874, + 420523131, + 316932479, + 276796562, + 993692444, + 894531252, + 145796408, + 897773896, + 208681567, + 129196062, + 632092606, + 284308825, + 917716509, + 480071796, + 418240530, + 859573468, + 524332371, + 143112615, + 980193191, + 654005800, + 444761733, + 427093389, + 492974617, + 348294626, + 859616637, + 817169978, + 617817979, + 811887444, + 428027005, + 849967980, + 884838188, + 42929348, + 582820864, + 506079404, + 143304826, + 49296127, + 844058675, + 260262069, + 843482654, + 767629508, + 819763012, + 201542778, + 363644238, + 141997309, + 774549031, + 72990924, + 116492822, + 10320265, + 366920074, + 344871228, + 130564507, + 329504388, + 458310793, + 642742244, + 726827596, + 682059533, + 841348957, + 780434704, + 687388347, + 360585267, + 773623453, + 430355228, + 187438488, + 264499845, + 624065369, + 848474908, + 371850479, + 696815207, + 182411318, + 317182729, + 284470722, + 379249476, + 630959884, + 32012846, + 500462613, + 584258606, + 264462129, + 422237347, + 655691211, + 421785122, + 136121803, + 720820779, + 782006883, + 99888898, + 260525395, + 719634253, + 390044503, + 430222316, + 363457715, + 370375745, + 110098847, + 671030135, + 342300088, + 18528258, + 942360912, + 884526208, + 190492382, + 836003864, + 302244646, + 865833473, + 145228817, + 910899179, + 22744425, + 269519121, + 664379403, + 904804063, + 249620618, + 75687839, + 843520966, + 897303851, + 264141553, + 142510450, + 917225300, + 233402874, + 329995862, + 963004055, + 204520942, + 578037147, + 815739174, + 433493933, + 911900922, + 654327418, + 275027410, + 254258158, + 724002985, + 737528494, + 811491196, + 797984038, + 126132856, + 96234813, + 473972539, + 316901348, + 337120643, + 520582520, + 41603988, + 774078059, + 331587006, + 348582689, + 699473440, + 752141438, + 712906850, + 237644881, + 142750714, + 527777006, + 671723505, + 765530950, + 953169370, + 773189990, + 825256070, + 527368982, + 122951971, + 941756132, + 509167698, + 160485394, + 936979955, + 771645485, + 391931163, + 63299770, + 556585023, + 229996205, + 52988186, + 839997818, + 512390062, + 341261872, + 863979062, + 538434329, + 497622200, + 914496046, + 614670183, + 777499037, + 85139886, + 799488085, + 52079430, + 578890090, + 324125936, + 739187816, + 254937749, + 986143171, + 844910916, + 83315336, + 712712020, + 221127749, + 51366867, + 373281186, + 964189859, + 231016679, + 778424169, + 384316069, + 424359574, + 936045006, + 848616460, + 439421270, + 763090471, + 604842303, + 363431762, + 593796959, + 402591654, + 396762957, + 213878019, + 799351813, + 509303809, + 584983380, + 331924603, + 169401937, + 222619905, + 559630831, + 428165382, + 299957767, + 34645508, + 20128900, + 68282382, + 353416168, + 837548468, + 181498752, + 476282713, + 116959082, + 902249785, + 8631364, + 992111516, + 82785477, + 957530330, + 823898854, + 520318089, + 278185450, + 98295329, + 80023269, + 26609638, + 202668990, + 55603010, + 858851965, + 260801570, + 550334361, + 936257933, + 248344387, + 714497033, + 353396804, + 385117010, + 817156054, + 770763601, + 603701401, + 549164984, + 954218086, + 229764223, + 493760926, + 593185711, + 232587355, + 182759259, + 727195346, + 214543738, + 250597143, + 506022558, + 440880148, + 374212279, + 356418379, + 609598688, + 815045745, + 900495814, + 132359135, + 68320377, + 36710695, + 799619518, + 494630134, + 5738574, + 162387505, + 49157946, + 545896461, + 74357794, + 257705681, + 513501848, + 565034013, + 584084359, + 748979883, + 62330496, + 101222542, + 424976340, + 884783876, + 76361503, + 259929118, + 677008362, + 926837112, + 580999288, + 859217496, + 229137028, + 652600882, + 122319421, + 268563734, + 469597034, + 590418710, + 151882749, + 308664931, + 99731046, + 505788486, + 556986742, + 714325422, + 190502551, + 608150650, + 634601220, + 589167605, + 189202151, + 994649860, + 380999955, + 954431847, + 403276848, + 413842015, + 972021025, + 832419937, + 575204643, + 26067307, + 888102767, + 139456010, + 525678981, + 121571568, + 144193895, + 906225997, + 260385839, + 844198581, + 745844384, + 826564854, + 919329275, + 582131740, + 224250162, + 745932159, + 84219221, + 42846950, + 486651629, + 426018424, + 124464468, + 432805501, + 79924687, + 501804460, + 586591774, + 344808066, + 147151415, + 572498893, + 108863255, + 147357739, + 14366754, + 601802277, + 796895212, + 914905525, + 841506017, + 293747645, + 35373934, + 376123163, + 95217170, + 308437615, + 783503681, + 998162965, + 190980836, + 641266167, + 852280182, + 966931394, + 309258747, + 695453846, + 287652140, + 223858212, + 992209630, + 94147104, + 361441952, + 22605574, + 438323800, + 400281101, + 802606360, + 376793343, + 958379093, + 927558480, + 535868973, + 329557549, + 801872412, + 38150049, + 195003594, + 916630083, + 286466150, + 737390892, + 606641354, + 426585630, + 565985347, + 973108567, + 781356356, + 962670911, + 827600663, + 67331812, + 861836194, + 228739495, + 468172255, + 311896983, + 597461665, + 488068311, + 809403629, + 988410607, + 720096800, + 442082264, + 656228184, + 99358845, + 832025788, + 376492407, + 422228584, + 396643070, + 871679345, + 697614674, + 645517781, + 787225508, + 126111790, + 653809576, + 250475332, + 127473135, + 859116742, + 948540187, + 135012986, + 833323750, + 397988628, + 161893085, + 281491662, + 804642097, + 598457249, + 822335046, + 605933812, + 633197134, + 341502307, + 956716904, + 796842750, + 565770801, + 826128462, + 95802285, + 309096821, + 972342455, + 129161982, + 101161909, + 672986238, + 691812761, + 200725169, + 411954294, + 863514649, + 28880886, + 114645038, + 703796868, + 549348441, + 365672409, + 471706037, + 228006082, + 486667973, + 550654979, + 735987513, + 395420032, + 789205378, + 161588703, + 619884215, + 738419330, + 207368072, + 157505286, + 425590061, + 957343174, + 788938, + 81456874, + 419409209, + 139954056, + 97447982, + 499537342, + 261101738, + 723250597, + 17696619, + 12680933, + 326469800, + 388396407, + 446876457, + 916192588, + 821200177, + 458448645, + 840617926, + 50455332, + 354589093, + 493979499, + 144694805, + 861876947, + 520300929, + 340875484, + 381047745, + 596528919, + 485306352, + 139275449, + 423724393, + 861508975, + 833733028, + 889676073, + 879561657, + 846196580, + 722047162, + 805016700, + 839980764, + 257075054, + 775394094, + 618343924, + 188470059, + 844108754, + 649570433, + 674593535, + 586700846, + 258535941, + 325435871, + 423533607, + 399142853, + 874790175, + 948835757, + 399442623, + 434093995, + 926431647, + 564065432, + 70254189, + 370557007, + 948726596, + 703544544, + 725446729, + 340351407, + 734053213, + 476640420, + 904274215, + 480952631, + 595979028, + 615412581, + 711144110, + 187467392, + 700723780, + 153707502, + 895233753, + 653328063, + 849338549, + 138808446, + 689824497, + 455995867, + 110694636, + 468355011, + 427544718, + 947242223, + 447366106, + 130029087, + 183620828, + 435276061, + 342612835, + 556060591, + 548123850, + 227942832, + 261492794, + 231526572, + 382854050, + 852389611, + 726153043, + 184686820, + 869838656, + 162577538, + 802855948, + 738745671, + 550407781, + 511825640, + 840193591, + 503626172, + 789066659, + 994023357, + 937883637, + 433463109, + 645936087, + 291366906, + 783520790, + 74270484, + 872590262, + 813937277, + 517592880, + 692567856, + 536926783, + 721029924, + 27483453, + 196955855, + 452524233, + 431853363, + 592280476, + 265460841, + 721300733, + 700931361, + 914001146, + 404598740, + 861410849, + 186515822, + 153627537, + 38107317, + 420148217, + 827778972, + 35326955, + 448851653, + 571974484, + 727137578, + 190896949, + 364974602, + 689262244, + 777971518, + 801973584, + 17447993, + 23684652, + 271612881, + 418083423, + 726280579, + 842912709, + 565422649, + 255804624, + 187928002, + 917595447, + 865306980, + 983108208, + 704760819, + 909968513, + 476819294, + 67774625, + 448482247, + 406396398, + 806953688, + 603544857, + 388456644, + 308737065, + 581572923, + 517441962, + 445764545, + 423264982, + 323027899, + 319134817, + 339235596, + 180226258, + 159888800, + 743480173, + 542243203, + 527574816, + 769906810, + 623750967, + 389691637, + 702127127, + 517334467, + 571722997, + 723164669, + 367778949, + 820809271, + 443964397, + 522681718, + 283609211, + 972805771, + 661626676, + 555369976, + 769151358, + 146916022, + 653959841, + 12015911, + 803910786, + 653777218, + 736444695, + 146685274, + 66263252, + 577224202, + 662245917, + 786425611, + 97939941, + 278258589, + 182954927, + 18715589, + 162725601, + 155042315, + 82310641, + 151374829, + 863401897, + 981634624, + 553317149, + 519299408, + 667284536, + 98212715, + 631135724, + 298127538, + 477714296, + 521442947, + 199753889, + 356712791, + 671669564, + 859887468, + 670507452, + 721153508, + 902488555, + 281847599, + 938831552, + 876253231, + 250253351, + 387291702, + 722559024, + 876937601, + 420741590, + 955651913, + 372644066, + 532134521, + 788351027, + 720982454, + 130677215, + 109410504, + 508826207, + 353260498, + 768011614, + 213014952, + 903377297, + 447432676, + 251523640, + 958564178, + 307430205, + 824279056, + 714737156, + 496845458, + 954002795, + 770108817, + 540905437, + 784952696, + 529652935, + 881489397, + 887133983, + 123074812, + 863516928, + 110735561, + 29989082, + 191361343, + 47783934, + 412487538, + 261055180, + 388773056, + 831107117, + 376121253, + 147287402, + 760042206, + 375219033, + 216089443, + 224946496, + 315405637, + 616760797, + 964243871, + 622690833, + 605885570, + 739258270, + 3930110, + 334837781, + 802932159, + 842989391, + 833622698, + 293594133, + 20287036, + 391639640, + 665600725, + 359923715, + 604204048, + 168393254, + 123861860, + 535219963, + 841746944, + 824935565, + 369317863, + 662866662, + 110136628, + 532413379, + 166737499, + 509307705, + 963317816, + 470058354, + 227197367, + 759725090, + 646207068, + 64904471, + 187636757, + 671496799, + 327041288, + 221345116, + 574182298, + 992331287, + 749797790, + 52442070, + 195573730, + 176004801, + 404654772, + 484934916, + 752177285, + 687539380, + 536449354, + 99964167, + 538042143, + 600593653, + 624206249, + 843251481, + 667125250, + 456858280, + 858647288, + 543837960, + 941373583, + 504012598, + 939245967, + 845227356, + 620577375, + 470174870, + 642485268, + 260431968, + 75697703, + 265392296, + 137634893, + 200386975, + 981992598, + 673936139, + 84448399, + 296639284, + 325065381, + 91526006, + 759633842, + 350866379, + 175727528, + 511927278, + 949695302, + 523872457, + 675612590, + 950747029, + 287536676, + 317031973, + 242401952, + 142082045, + 470213641, + 658133990, + 411420987, + 597566633, + 116157837, + 400075732, + 869804688, + 282920082, + 86779910, + 345256875, + 294931689, + 230041975, + 489296457, + 507276130, + 209263102, + 546005937, + 384231392, + 490042551, + 393191006, + 770263007, + 855322551, + 944684031, + 992651471, + 958002714, + 545058638, + 631453321, + 749608603, + 530857658, + 510359078, + 104988700, + 616364300, + 421457600, + 177569433, + 231439643, + 925839259, + 674552087, + 346749470, + 163689591, + 28255657, + 924685811, + 520927990, + 249026079, + 854322762, + 113194213, + 390314545, + 582924153, + 138614392, + 159687754, + 478913799, + 633543241, + 198839467, + 795615262, + 831290843, + 61355001, + 863709214, + 382434826, + 755954744, + 32098311, + 600525031, + 518538621, + 872820188, + 573257189, + 708383150, + 648444315, + 167648458, + 428416290, + 590500629, + 857710063, + 671088856, + 845575655, + 579032221, + 509874410, + 237818213, + 971497660, + 106069459, + 491136313, + 162112187, + 773150942, + 633878989, + 72861605, + 260439158, + 644478135, + 348164382, + 472355008, + 440044106, + 536599941, + 918639187, + 137275782, + 197295365, + 181818045, + 49974107, + 324194603, + 890462736, + 375509986, + 359963750, + 327678415, + 310572219, + 721213250, + 541130480, + 781862989, + 873319827, + 204385268, + 753811477, + 368057894, + 155654069, + 152204768, + 776118664, + 605027847, + 97684496, + 478753959, + 886807790, + 506010449, + 718653618, + 510379861, + 245033329, + 619441329, + 558213597, + 288276221, + 184073514, + 673066840, + 25003614, + 546121331, + 821555119, + 913528783, + 655214908, + 999119221, + 452741779, + 74286160, + 437258386, + 812724685, + 672301546, + 429163287, + 558216042, + 320245987, + 567006544, + 349939067, + 140622042, + 798631477, + 94093233, + 355985362, + 479009390, + 913958702, + 424386897, + 514171340, + 740175870, + 679049514, + 738354630, + 700965574, + 328225497, + 872369797, + 124920074, + 659699380, + 19741898, + 176524296, + 810970903, + 589356117, + 482661217, + 105305244, + 746566901, + 789469440, + 677706042, + 194890281, + 253528370, + 397859137, + 770080761, + 236334065, + 87948780, + 99206944, + 722161690, + 897947100, + 240769076, + 598835286, + 600921808, + 238244315, + 872557392, + 483424546, + 596154945, + 675606989, + 628370739, + 529572462, + 23699032, + 652857066, + 336137559, + 359768599, + 499057424, + 934946367, + 960779913, + 528437328, + 897308609, + 734105908, + 366963058, + 433849598, + 422068143, + 973174747, + 807166647, + 311646721, + 131692434, + 126981280, + 117469648, + 702585623, + 312063105, + 950598783, + 436053434, + 553680247, + 991777645, + 781768666, + 357847954, + 861331217, + 765639204, + 769123620, + 72584091, + 268948840, + 147658171, + 439073692, + 41103978, + 64227160, + 403969730, + 46089518, + 181999348, + 388227680, + 745583308, + 933660977, + 755735818, + 4934025, + 936389697, + 234270892, + 38682384, + 645849153, + 104101994, + 274682751, + 241354347, + 763819314, + 395351573, + 591458719, + 963607725, + 655774111, + 868801530, + 349477037, + 674217147, + 882427429, + 812742007, + 91411120, + 56043224, + 464914548, + 1217781, + 391567808, + 399848482, + 996798040, + 32019349, + 625182146, + 350440573, + 459952144, + 688897311, + 348287771, + 904348592, + 921105239, + 434965027, + 148993771, + 977813688, + 613236453, + 455752469, + 932400122, + 939358943, + 694058769, + 846062183, + 33002098, + 796353925, + 703485451, + 520003614, + 82660090, + 600657664, + 320283740, + 843184092, + 458604141, + 340574707, + 63070898, + 269261813, + 272535906, + 107613807, + 778371093, + 97827903, + 311892346, + 580174851, + 45805994, + 472021231, + 709361944, + 189442939, + 491232893, + 205639899, + 386693013, + 576740612, + 655916612, + 237590830, + 196887617, + 853949232, + 785206377, + 669571297, + 233943219, + 448392670, + 222818691, + 243953454, + 52688383, + 693709636, + 776288967, + 395486042, + 533916635, + 175065613, + 47289139, + 785826033, + 746838142, + 816505585, + 227376558, + 106508825, + 86981736, + 814988754, + 722453464, + 666497236, + 8616033, + 463514351, + 287803623, + 427908485, + 208754762, + 356147891, + 377209810, + 442206377, + 565961933, + 692427023, + 395522831, + 223996557, + 41841748, + 893250781, + 748689284, + 360609640, + 187154855, + 221657012, + 36202516, + 156562165, + 429607806, + 934696684, + 956335906, + 331578738, + 581678078, + 837907858, + 747688550, + 687032364, + 498408054, + 366099882, + 777559421, + 36577525, + 464181836, + 258039807, + 337526388, + 357227151, + 138911815, + 639834153, + 972331785, + 951319795, + 147282623, + 631873378, + 199399763, + 693399772, + 216268970, + 123725999, + 397039078, + 713815395, + 813468150, + 128537007, + 67004187, + 592812887, + 956169828, + 418820158, + 840274031, + 315199380, + 15409495, + 161428486, + 995586748, + 140654002, + 890010959, + 321572424, + 518185008, + 991271088, + 900698211, + 84164148, + 553509310, + 985762974, + 711862704, + 553138546, + 805625916, + 268740984, + 78338468, + 912716700, + 486627123, + 839703200, + 454630664, + 915141867, + 361582583, + 351099484, + 322112376, + 207395083, + 103882974, + 47321378, + 781780617, + 450713808, + 983538285, + 430886614, + 17573966, + 302051260, + 450329092, + 413205741, + 824158352, + 443254903, + 155710340, + 402979476, + 817411605, + 766802637, + 3615041, + 416499992, + 598212441, + 970011273, + 233771460, + 159084754, + 151790844, + 222270775, + 400925162, + 169208563, + 545824114, + 696850537, + 152430797, + 198526869, + 144024571, + 654635592, + 982179450, + 555576709, + 42081818, + 542937451, + 909268422, + 413317282, + 677889967, + 461464035, + 566607698, + 734068264, + 186216802, + 87930066, + 916286730, + 798180568, + 30687978, + 419017240, + 824184796, + 558886031, + 714010688, + 544323989, + 75921, + 264321272, + 224769730, + 107516097, + 403374198, + 964087924, + 565274970, + 313674231, + 209532809, + 918911287, + 11445835, + 23497918, + 582725718, + 574917712, + 425085520, + 965246209, + 893871358, + 591235575, + 545443491, + 914922636, + 825202818, + 427644876, + 923776310, + 601619990, + 90556112, + 647865051, + 738104114, + 729020864, + 750133899, + 126654449, + 658829179, + 753586045, + 511030065, + 726974439, + 293328315, + 25532456, + 392648458, + 499944451, + 176497898, + 544559414, + 209855279, + 282481319, + 120944895, + 263471012, + 780300258, + 363956265, + 339025476, + 99930725, + 591066286, + 790053093, + 725428817, + 401202144, + 481723305, + 254668562, + 454386553, + 604517657, + 797101384, + 428664915, + 145954969, + 360052720, + 624880596, + 609091624, + 756877828, + 70659939, + 390864773, + 483097318, + 492669960, + 53553364, + 951404996, + 37903909, + 184143179, + 933767806, + 735644415, + 99139295, + 258845402, + 351063895, + 322464119, + 326347579, + 66574353, + 588891707, + 295424150, + 209869761, + 288600076, + 174718425, + 360744371, + 72787955, + 822612263, + 771774099, + 589109822, + 267458153, + 370285106, + 842358212, + 84621455, + 527670450, + 690625586, + 343761171, + 640996344, + 79927790, + 39866247, + 863014698, + 269214881, + 278344691, + 475025301, + 137643283, + 251653003, + 740022409, + 679818796, + 134373413, + 714503249, + 478220456, + 982257749, + 688013831, + 307420480, + 32220480, + 676725343, + 204137465, + 17791316, + 201252906, + 450152503, + 265924519, + 930466191, + 678144207, + 821950395, + 230037509, + 249217604, + 314243789, + 724276252, + 922733191, + 34065719, + 466171322, + 990571552, + 459590307, + 507855700, + 81785234, + 748192332, + 861669612, + 88486170, + 796656296, + 819085914, + 728824036, + 382069167, + 613357411, + 297358967, + 544407691, + 149158740, + 291161742, + 427760134, + 517664856, + 973333287, + 956389269, + 836238650, + 824134076, + 672994535, + 492718643, + 832839074, + 32311145, + 529751691, + 814623194, + 560352474, + 356476393, + 187721119, + 458664436, + 132689958, + 118782274, + 151222498, + 551131605, + 154817210, + 432037914, + 336333494, + 688348507, + 628533305, + 373002926, + 108114153, + 295987957, + 816504251, + 964029366, + 396316526, + 427848532, + 343756867, + 875931463, + 368614870, + 425407799, + 798541614, + 448175878, + 808622055, + 6261405, + 463936176, + 715212044, + 741668416, + 662524720, + 867534735, + 392914339, + 237627203, + 870357035, + 64539771, + 558634677, + 609564009, + 350228661, + 885103561, + 825348228, + 467557135, + 273685866, + 905078010, + 387131968, + 129883344, + 154429411, + 990802367, + 499244034, + 170780505, + 29414727, + 621689603, + 277739329, + 75534186, + 624527703, + 95916895, + 515419177, + 354064108, + 805069009, + 220195063, + 67735268, + 112523415, + 922407073, + 592361810, + 374737716, + 501167281, + 697513369, + 648299447, + 180070958, + 377412146, + 962150069, + 593107727, + 116873117, + 210157670, + 804552617, + 506047513, + 578565229, + 935630550, + 912995536, + 382797115, + 183992634, + 328359363, + 685854195, + 825252117, + 850800045, + 811468792, + 812790678, + 908910868, + 506843680, + 356065096, + 239427724, + 711571395, + 583582385, + 715453746, + 904073257, + 225496985, + 767367741, + 228803714, + 499805592, + 378580287, + 345934695, + 876096795, + 204353121, + 430907784, + 783193701, + 272289680, + 631276965, + 437085087, + 410026256, + 237748274, + 842246934, + 105255443, + 152472313, + 299100931, + 363125357, + 116935302, + 6736630, + 265080445, + 6505868, + 355054357, + 713687872, + 519153898, + 57499428, + 125704193, + 707855665, + 376449618, + 66552371, + 256199280, + 287728803, + 617904417, + 85505749, + 220164699, + 542097359, + 111679398, + 278607329, + 546644586, + 134907096, + 739172351, + 604823266, + 312562383, + 910426043, + 245324188, + 332699775, + 907252473, + 296082014, + 884002653, + 915961653, + 395359228, + 745945522, + 439259935, + 632654648, + 137902452, + 350906026, + 627102832, + 66649423, + 999298178, + 453030555, + 573887402, + 715005957, + 25982503, + 591598335, + 594612139, + 557483521, + 547730269, + 485666592, + 920843799, + 358774395, + 330263123, + 769731487, + 316446525, + 481409930, + 763013270, + 925371204, + 981028867, + 164841236, + 642528237, + 425772449, + 500332086, + 597729612, + 714430737, + 883277778, + 612213198, + 314943190, + 282209849, + 12388557, + 515250598, + 139702693, + 39059054, + 762287529, + 164696574, + 554882576, + 896192996, + 99334758, + 781556853, + 91297158, + 823443818, + 668876709, + 965895794, + 611828703, + 618247683, + 117722137, + 932383541, + 942272978, + 479960950, + 882203269, + 770173842, + 873675823, + 295969305, + 400110068, + 466210161, + 568107042, + 839524169, + 228336, + 100621009, + 214801639, + 612538659, + 90078913, + 929644239, + 64315854, + 710593123, + 709370185, + 532124911, + 907943139, + 458696722, + 140112296, + 229030223, + 400699683, + 24752364, + 403013480, + 364488938, + 972951774, + 295936097, + 741791737, + 181560610, + 226729072, + 27753805, + 720311269, + 117705850, + 63768219, + 380541073, + 538276187, + 533825662, + 477238854, + 460913851, + 373852699, + 291777784, + 274910063, + 793843200, + 69765839, + 880338808, + 835453180, + 891474859, + 890652668, + 929034213, + 162580621, + 947834921, + 507135076, + 154946964, + 170811912, + 706203180, + 538421717, + 843925244, + 294192447, + 768253911, + 241972689, + 497436004, + 29200409, + 980725397, + 124277108, + 157858142, + 729182395, + 515961809, + 323678170, + 532244903, + 684374103, + 135249258, + 13649967, + 935133118, + 322801801, + 811400550, + 651258807, + 502170439, + 562602754, + 439189458, + 70975474, + 513109917, + 882728293, + 490755878, + 397773986, + 849924468, + 234796071, + 628914932, + 986012934, + 418911290, + 216210511, + 460710630, + 249516190, + 35673358, + 79010543, + 151841084, + 611259786, + 169276481, + 13333292, + 809762781, + 419966533, + 694106731, + 814417970, + 603611899, + 150468244, + 78696099, + 163822650, + 845574316, + 720412345, + 353302483, + 217634688, + 630702260, + 199250109, + 364050889, + 268529835, + 654844258, + 318989699, + 48154229, + 84843538, + 298623644, + 78503435, + 735713568, + 344569278, + 919420997, + 597778066, + 133346338, + 95974336, + 807822601, + 739348622, + 249968053, + 879057969, + 981370738, + 750605252, + 621112330, + 695745958, + 603712474, + 355611867, + 899165510, + 298961875, + 772413497, + 893020872, + 338184728, + 398971757, + 827687159, + 818788663, + 865756594, + 573749550, + 194819840, + 301966842, + 766127204, + 385844795, + 42108248, + 547080955, + 614218136, + 147305042, + 543294153, + 280615684, + 600107625, + 955334847, + 81887934, + 2747919, + 654795877, + 470778732, + 913200005, + 539071892, + 57055490, + 183013872, + 696329593, + 785034737, + 707225615, + 653932001, + 998865087, + 605374612, + 295956085, + 602348077, + 402473829, + 403365839, + 500122178, + 369769249, + 658308812, + 281992771, + 801891169, + 988865828, + 11468210, + 193245920, + 95531170, + 436102380, + 50552070, + 906222874, + 351919074, + 253309753, + 839652276, + 19438360, + 201520021, + 116078909, + 972580276, + 861195504, + 711909346, + 290490768, + 536212560, + 704722015, + 690379215, + 772084156, + 671697096, + 358355211, + 743652179, + 963731952, + 320025863, + 877233792, + 260325575, + 677943338, + 75707957, + 618053835, + 552011365, + 367753784, + 720701009, + 235004683, + 730668142, + 38684111, + 775629035, + 169444981, + 521409860, + 724377935, + 448121513, + 341679313, + 53332428, + 892896881, + 513567684, + 221301861, + 751537657, + 353763928, + 27342636, + 680745957, + 632287441, + 669232951, + 475322774, + 319285454, + 885857379, + 907345762, + 338929319, + 140759684, + 962576389, + 69600715, + 492402494, + 691217266, + 358218315, + 17241357, + 731433315, + 100169348, + 254757126, + 618469876, + 549451202, + 713544652, + 220352458, + 8443836, + 556905295, + 941909739, + 539177260, + 503135216, + 694405441, + 802441413, + 566731459, + 383988326, + 36142944, + 272739724, + 540066416, + 223245884, + 255046865, + 656250480, + 401723232, + 921687556, + 118794424, + 870482409, + 881272218, + 714103337, + 704258482, + 83153729, + 382328447, + 507759523, + 992883496, + 549743073, + 838520433, + 372842799, + 365179952, + 174144994, + 335959257, + 229984671, + 146921221, + 886831430, + 878125842, + 102804460, + 938494183, + 67796111, + 446627792, + 399169445, + 876387298, + 276624240, + 62695644, + 526651118, + 890475611, + 686009225, + 549165215, + 727969799, + 817924712, + 704735855, + 137989947, + 198412117, + 239770193, + 676685915, + 333413070, + 63421847, + 343354510, + 126073994, + 196345710, + 352882828, + 82081414, + 22893589, + 410466461, + 286179103, + 449757442, + 867827259, + 151731009, + 606735194, + 980296773, + 268259126, + 150677143, + 134881451, + 879598730, + 788568059, + 728868910, + 837385478, + 570124080, + 371312344, + 889419846, + 64068901, + 102794964, + 175456699, + 367881664, + 737731905, + 755248306, + 315003251, + 866507713, + 294993808, + 798684984, + 833801639, + 75814469, + 290597933, + 43588121, + 420750050, + 606303656, + 884888547, + 552839635, + 402987856, + 831816940, + 186448138, + 554750212, + 317066944, + 656070957, + 666514306, + 580021958, + 770345275, + 565025434, + 91236743, + 478391685, + 32073921, + 894561025, + 676488951, + 13141959, + 725173092, + 437793855, + 730753226, + 220115550, + 493308468, + 765610104, + 244258992, + 674614338, + 796056104, + 695471400, + 583516256, + 281706944, + 911261299, + 859176611, + 793939201, + 925628364, + 979529575, + 638496391, + 221426561, + 612959602, + 837148585, + 953165810, + 26455312, + 109782014, + 578437832, + 424990170, + 710936478, + 793303533, + 951183326, + 703216647, + 894396100, + 852692643, + 389988604, + 441031505, + 333911823, + 387166072, + 766755505, + 344422502, + 19103269, + 790783721, + 314578930, + 469938744, + 338226305, + 94389966, + 702357910, + 397926786, + 699394126, + 851519487, + 468453092, + 334432556, + 449597806, + 134291730, + 849456614, + 520470783, + 848358651, + 244680543, + 263550758, + 888744222, + 278588170, + 744305928, + 622692435, + 784745983, + 200196582, + 908761904, + 315984042, + 82438423, + 694733729, + 692476486, + 424637268, + 264312579, + 599433903, + 571752224, + 492813892, + 469771634, + 38516569, + 743276106, + 224710251, + 411839419, + 61694956, + 479579803, + 954934975, + 94160672, + 106235790, + 731140031, + 471591348, + 31561419, + 798527742, + 169196452, + 457888065, + 494006551, + 129538819, + 578454227, + 663844379, + 106499078, + 929904847, + 18889698, + 271980561, + 598215212, + 765472626, + 69761408, + 118503273, + 922112780, + 545913460, + 557029302, + 234522951, + 75158031, + 22799753, + 474913430, + 245625241, + 565990999, + 385203343, + 196414830, + 782604311, + 442093657, + 360199547, + 522874059, + 572494054, + 850476855, + 740555387, + 85577323, + 643580382, + 420428708, + 535087884, + 394600088, + 15045991, + 253535858, + 5734639, + 701735051, + 294930533, + 945826916, + 936417064, + 788919336, + 287308850, + 187892313, + 18813511, + 466218126, + 278661172, + 491532670, + 307114122, + 659121972, + 200859996, + 413259513, + 494398650, + 243511295, + 318071623, + 867403214, + 234217076, + 688000251, + 114715569, + 948816241, + 84008235, + 46702211, + 802500048, + 604642853, + 143172408, + 447798614, + 459334684, + 223414599, + 489368667, + 465951815, + 805741640, + 190922190, + 813360549, + 364968873, + 101600692, + 880031173, + 528035556, + 727088214, + 691987138, + 359733254, + 219731825, + 415293566, + 444525132, + 752943444, + 950686530, + 62175404, + 138133238, + 490730010, + 560119393, + 764880025, + 857140952, + 100979172, + 996129333, + 520245293, + 916390396, + 167835338, + 750160451, + 455758377, + 63790636, + 386772227, + 366130659, + 362802958, + 305702022, + 356407472, + 850467040, + 973918362, + 328090878, + 33032251, + 710153647, + 540131182, + 960838508, + 267410315, + 675854303, + 511459280, + 237287405, + 45905539, + 377750244, + 441017123, + 338746933, + 203357928, + 825867543, + 849137773, + 869110662, + 678483108, + 147053275, + 717061925, + 577821803, + 57789959, + 23245378, + 256298231, + 466613996, + 262109814, + 249459137, + 809347037, + 960653773, + 716533059, + 953166476, + 668417152, + 583307737, + 107118571, + 606322527, + 79945305, + 517922997, + 995333290, + 334816364, + 929237782, + 788192632, + 890562069, + 351748675, + 72025065, + 180788946, + 284201268, + 876937308, + 248229030, + 680170755, + 652122322, + 748093510, + 140751265, + 241206430, + 695808540, + 573986474, + 98789534, + 83120084, + 2089375, + 464014173, + 870286683, + 558441494, + 655171238, + 977375158, + 489223637, + 68239737, + 838047143, + 474360549, + 145750561, + 532057440, + 836856358, + 912052064, + 517464772, + 300858628, + 747199756, + 764121124, + 485368657, + 687037938, + 590712650, + 67364637, + 282177200, + 413983446, + 893558135, + 111816992, + 641690308, + 522321460, + 478634200, + 157524944, + 598453252, + 883961284, + 707926493, + 998620230, + 701600498, + 567012788, + 307076720, + 689271474, + 489791025, + 812173495, + 595042386, + 825300387, + 914867479, + 88320098, + 508603012, + 849981242, + 529625895, + 617303049, + 410778154, + 919039292, + 528777389, + 147107838, + 451476478, + 329430265, + 179152187, + 991537916, + 259721921, + 30725579, + 156638568, + 221065823, + 123258382, + 466809330, + 675721186, + 654458281, + 917935848, + 2501350, + 487824988, + 137608525, + 180583273, + 841081243, + 353195777, + 990478280, + 363086965, + 362025650, + 646560007, + 835057279, + 365741411, + 425361179, + 483118497, + 7297084, + 328617414, + 726190501, + 363843180, + 453736826, + 914164413, + 133286676, + 51055289, + 440174340, + 391113226, + 252742893, + 187586623, + 730633335, + 278887981, + 509273140, + 761013086, + 122206702, + 820403876, + 170852800, + 905519835, + 14814800, + 552890772, + 564476511, + 949517229, + 498819128, + 224137622, + 55191011, + 622331414, + 860206242, + 848970515, + 215587345, + 514865100, + 19873687, + 247993841, + 397312881, + 810671406, + 104648203, + 500568155, + 129785649, + 702773058, + 730019453, + 514793763, + 791882056, + 831294089, + 328840364, + 882532858, + 757335659, + 561655368, + 96667185, + 488464417, + 74351228, + 148803846, + 447567628, + 817874486, + 49635711, + 496694043, + 510020364, + 735031401, + 165904811, + 141825609, + 159863657, + 638689983, + 156380597, + 143386032, + 295924266, + 870087431, + 804447504, + 364237224, + 134495481, + 436843912, + 887449277, + 138889158, + 748694274, + 981080723, + 61694980, + 866979335, + 303997963, + 869885278, + 443952662, + 456479092, + 20892427, + 577972441, + 158853840, + 805130207, + 323797792, + 202115262, + 490529690, + 381121965, + 305945295, + 929504194, + 717062217, + 988449296, + 372506125, + 741243777, + 721686599, + 889890304, + 711709004, + 231026847, + 441893187, + 268120378, + 55922620, + 711167874, + 353475877, + 453193027, + 601442182, + 854960559, + 261451592, + 496569580, + 478554734, + 156338588, + 659608498, + 923386208, + 375940194, + 307712871, + 950152921, + 936073298, + 874387945, + 335685360, + 271856565, + 423952067, + 541057496, + 703421423, + 901406470, + 336609097, + 107736742, + 623280355, + 848030477, + 990398051, + 212396201, + 184262891, + 764497749, + 871975504, + 982292964, + 544678100, + 969717526, + 425596513, + 601815154, + 154765169, + 308614979, + 388755423, + 515351435, + 976891529, + 284028071, + 174932130, + 312297934, + 523524250, + 878131143, + 586975156, + 928370051, + 148169160, + 736702034, + 491539511, + 571048316, + 423708532, + 112567454, + 612816237, + 582291067, + 41134564, + 711035860, + 709530716, + 153643540, + 736237554, + 934205359, + 975200079, + 865996160, + 534254348, + 198340914, + 324833574, + 809649940, + 218973778, + 869958542, + 750146648, + 135308274, + 110280718, + 83742756, + 670996563, + 271086450, + 406238904, + 857790192, + 725379204, + 716576109, + 673502050, + 587633654, + 796736617, + 174190186, + 493699056, + 251581732, + 469175084, + 25342022, + 623866797, + 569038630, + 207485730, + 375652169, + 752697540, + 234715117, + 323437176, + 410796617, + 361356226, + 736363402, + 299518676, + 197874614, + 503787765, + 61455137, + 390349056, + 145002462, + 215720366, + 672382857, + 322310446, + 691775928, + 674057657, + 758564736, + 113538604, + 353447164, + 548566, + 898786055, + 255429398, + 49729780, + 467742071, + 595819500, + 118042979, + 337513913, + 799415981, + 93481136, + 613185864, + 47577155, + 43213085, + 603660434, + 374358414, + 646671790, + 700093662, + 995520039, + 240378661, + 875346997, + 878857823, + 394199585, + 777019337, + 447972869, + 581666745, + 400704068, + 489564199, + 762206331, + 370621313, + 116325443, + 693826907, + 775219851, + 916982045, + 477372139, + 773954759, + 46766475, + 7688727, + 663217052, + 498439308, + 977613980, + 637951759, + 960620325, + 564127332, + 205734939, + 752641647, + 716820303, + 692286126, + 199511703, + 544489476, + 915319053, + 361230820, + 456059264, + 366121263, + 136556931, + 189317911, + 52493483, + 547372615, + 7982484, + 621407868, + 340311774, + 528553563, + 751682285, + 570866391, + 339458038, + 591758922, + 919637246, + 679804265, + 23241301, + 346693728, + 516570840, + 477091419, + 411303774, + 452666387, + 739632321, + 126866175, + 22757971, + 345302826, + 434406224, + 319505581, + 540228587, + 511587216, + 415733425, + 57784073, + 482057849, + 829989174, + 34987267, + 520633606, + 322509909, + 110893328, + 101885715, + 409293218, + 543860315, + 488196498, + 252859888, + 314036360, + 353744305, + 812218121, + 30904105, + 509471035, + 431292614, + 689547841, + 295411759, + 825936503, + 674348338, + 942975259, + 101062333, + 343242008, + 14889005, + 656808801, + 183107748, + 445055887, + 460838593, + 634682472, + 11100052, + 776076142, + 622323090, + 974548709, + 367115090, + 91334971, + 216923168, + 511953120, + 832545599, + 980323357, + 686525259, + 491909056, + 755528788, + 758535861, + 36506318, + 731669526, + 826563897, + 665763894, + 923052300, + 867885211, + 356159220, + 969756173, + 550209870, + 387791950, + 685497574, + 463907196, + 598627613, + 384177423, + 817120199, + 914254848, + 86933540, + 172537262, + 462217938, + 24239915, + 696596836, + 585731285, + 124539339, + 737022556, + 438374133, + 673256211, + 526874289, + 932950713, + 478877452, + 882109015, + 390788387, + 113949563, + 293140258, + 948539816, + 314724867, + 707783293, + 838489810, + 60609262, + 953654584, + 298396433, + 940304024, + 413274269, + 681889808, + 376109379, + 522210845, + 31852759, + 330949064, + 580580861, + 822356527, + 286785418, + 634312638, + 884821161, + 378728195, + 898966056, + 409888696, + 921582608, + 982207136, + 926951242, + 634927867, + 624471111, + 492759889, + 748771210, + 56197026, + 737340636, + 592098827, + 50156383, + 853828019, + 793537903, + 721816470, + 337807698, + 203197929, + 391293454, + 499414079, + 320113871, + 222454629, + 44302023, + 74780413, + 813728518, + 417780879, + 420103863, + 414961294, + 545329351, + 891044083, + 164302490, + 830578095, + 637938186, + 253196159, + 64594004, + 192094522, + 166660434, + 126137201, + 207963699, + 146574965, + 840937579, + 77305848, + 101630742, + 230052449, + 828498041, + 639896228, + 625642933, + 812820350, + 159593642, + 58657240, + 222601483, + 271273317, + 891730255, + 504857464, + 692506984, + 431809916, + 653596507, + 796969120, + 416018570, + 40958645, + 50955590, + 348279520, + 944562442, + 89882194, + 66497614, + 838312273, + 240778853, + 414431516, + 235129152, + 408233954, + 344562972, + 417694244, + 743301835, + 537061523, + 243385647, + 918810022, + 393975841, + 327984360, + 353520852, + 158472718, + 381512905, + 723666210, + 380829988, + 334342550, + 802853962, + 275333922, + 667465579, + 898469454, + 621802517, + 189777000, + 42251344, + 771065541, + 726131757, + 957662419, + 179845593, + 966643983, + 538967706, + 875368079, + 945507236, + 473307275, + 258971216, + 807624652, + 767468338, + 767810694, + 744971635, + 177496321, + 724678333, + 460327150, + 480868443, + 77018779, + 710922686, + 27361279, + 902651034, + 789866667, + 223009410, + 368144779, + 242199308, + 790106729, + 190262615, + 393561607, + 765950455, + 784967487, + 274137914, + 742758242, + 861502071, + 482915836, + 961278815, + 280788900, + 118254935, + 950507472, + 623137360, + 755287687, + 92934145, + 107640430, + 918016184, + 156846643, + 286804270, + 341092369, + 763318889, + 925233961, + 139007559, + 938446133, + 913545173, + 367861093, + 871629079, + 286743766, + 553271460, + 174877034, + 940773927, + 293462204, + 865772012, + 788618003, + 205048891, + 91078265, + 606464953, + 620231314, + 58645034, + 549315663, + 940629030, + 475057097, + 967192666, + 782455165, + 751644815, + 487487490, + 601675265, + 360220716, + 316222070, + 394226646, + 3210534, + 946592750, + 218179781, + 65160559, + 65628412, + 746903756, + 550290164, + 171499823, + 960511466, + 945803222, + 169460176, + 676420844, + 482714546, + 449046701, + 964546437, + 277505057, + 462409143, + 178172474, + 799760171, + 253447786, + 571777957, + 470993173, + 107746870, + 327363162, + 936501679, + 896114752, + 105208199, + 421345091, + 952551939, + 363586302, + 250613880, + 491650565, + 635766737, + 13097555, + 640489492, + 320121715, + 107549380, + 727438304, + 97213428, + 561215854, + 694489047, + 273228591, + 629644982, + 395765621, + 334457056, + 727488271, + 533047942, + 808390709, + 371070084, + 741383509, + 859564457, + 421727850, + 710964673, + 699375472, + 886599174, + 875128915, + 451531736, + 275653812, + 598359591, + 46140876, + 68608050, + 218768792, + 460705982, + 556917088, + 927850518, + 401573802, + 963799643, + 979897233, + 378721919, + 437133244, + 534515302, + 946147321, + 212433199, + 160002603, + 414545798, + 761101363, + 477489175, + 999727331, + 710033229, + 351680479, + 604719358, + 211698211, + 829984421, + 874103657, + 582021546, + 975094811, + 4740157, + 144570955, + 510312735, + 99634150, + 296768382, + 608215342, + 689543377, + 98200433, + 383836935, + 118740394, + 925499078, + 543914190, + 475730089, + 508796972, + 194253472, + 919177964, + 334643470, + 455716078, + 945779528, + 989514669, + 552182155, + 271048121, + 509864599, + 976802849, + 81710821, + 207380400, + 885007432, + 675301491, + 321073390, + 674531875, + 800863340, + 112494342, + 475016545, + 335218136, + 942060993, + 866070331, + 633279033, + 573493407, + 586871834, + 131004653, + 236311251, + 903014542, + 997411283, + 604584532, + 527108135, + 964305591, + 202342221, + 267093537, + 570668787, + 531078620, + 710034979, + 460702384, + 712318325, + 430571533, + 489959379, + 456072413, + 223180614, + 492839719, + 160724045, + 248633353, + 704095579, + 199523772, + 876167844, + 759720698, + 295614113, + 95502646, + 165897438, + 594614139, + 324908488, + 790836192, + 714566109, + 430425813, + 373396709, + 951323510, + 441290302, + 180106632, + 394368575, + 746899524, + 649455162, + 568971727, + 49405270, + 393088868, + 795246665, + 312414381, + 214563476, + 346816129, + 971039961, + 907250036, + 183293785, + 638750158, + 935364085, + 441342776, + 391913030, + 534857485, + 409729413, + 643851925, + 329034015, + 407931714, + 890551706, + 440468596, + 726631687, + 766450846, + 464320765, + 207573782, + 282464062, + 787888479, + 549762614, + 772465857, + 517053909, + 594568524, + 787088836, + 350775335, + 437133515, + 363447050, + 509535512, + 4846866, + 455431013, + 628262804, + 842629535, + 837893049, + 70705782, + 17726256, + 246744894, + 890510357, + 380445426, + 831768892, + 389531756, + 78725180, + 376122210, + 329814230, + 515370187, + 574732507, + 407184038, + 15452071, + 86689135, + 724747350, + 514415724, + 475127827, + 250755582, + 586017799, + 280243887, + 412146834, + 279336786, + 396352788, + 264394113, + 52404501, + 125077957, + 888500881, + 554266952, + 86967590, + 437422430, + 202372390, + 966231439, + 213705124, + 319654912, + 327706227, + 604516154, + 838729579, + 244443587, + 691974396, + 670229964, + 419206891, + 5257885, + 716775423, + 278654957, + 492538897, + 11616702, + 646950986, + 306026643, + 833796337, + 78834178, + 275922590, + 685293512, + 101203566, + 623763509, + 656078816, + 945604774, + 324717775, + 192790388, + 606547432, + 816500784, + 414238241, + 58806450, + 745968573, + 310554062, + 972523071, + 438568065, + 189445485, + 960001260, + 460803121, + 51605253, + 687345870, + 404736964, + 670252702, + 370607189, + 996543775, + 692270390, + 483658090, + 512498805, + 152887874, + 900798326, + 321902214, + 232558689, + 812792038, + 89627325, + 385482292, + 85511775, + 114980633, + 906256203, + 132176164, + 113938045, + 860499716, + 610603742, + 627199142, + 77262047, + 251651528, + 736521679, + 167738946, + 281319374, + 226793959, + 873959147, + 950424104, + 287498818, + 699383203, + 678933526, + 452903220, + 805152685, + 860641963, + 79880703, + 620991139, + 222909835, + 85240261, + 664591172, + 153476076, + 656403564, + 171552097, + 531498953, + 709326521, + 556667839, + 956693548, + 309369435, + 273469420, + 363742884, + 697635661, + 750181230, + 600174547, + 790602406, + 83903616, + 271661984, + 794607831, + 419228654, + 87801484, + 367167886, + 88560573, + 765286104, + 951006428, + 750250006, + 896580675, + 160985003, + 996341938, + 686112700, + 496608652, + 8826906, + 970375031, + 283690876, + 588602869, + 551235124, + 124407441, + 122553690, + 380714466, + 903534647, + 250454724, + 331601977, + 397264783, + 894642660, + 697242661, + 325271889, + 176018730, + 524552932, + 209331090, + 17930224, + 696956093, + 581641945, + 71616876, + 655056447, + 326755790, + 904206703, + 333932104, + 810098296, + 51872570, + 691086075, + 786154701, + 500477300, + 774379189, + 932139088, + 808276112, + 46281558, + 882020616, + 642937407, + 78626763, + 744976438, + 745900487, + 840621754, + 293141714, + 406778811, + 512339028, + 982985545, + 200090743, + 96379688, + 731892731, + 194786370, + 587797329, + 215409805, + 448536756, + 574049504, + 994450246, + 130062120, + 452197417, + 853728347, + 478142793, + 245992732, + 990418743, + 89912813, + 530916549, + 444842591, + 10607588, + 692738728, + 617786191, + 262912104, + 966519363, + 683722786, + 857540414, + 116745736, + 873227363, + 77067215, + 176555643, + 68957746, + 43363488, + 533182106, + 910732883, + 152380108, + 993295616, + 340926397, + 970676595, + 308785303, + 62200157, + 273981489, + 832809292, + 729118812, + 699676301, + 818970131, + 628088803, + 235687281, + 220074142, + 998712515, + 979946995, + 3490108, + 15691038, + 220726452, + 936613564, + 604889399, + 600492828, + 83126672, + 131431487, + 723542994, + 333587942, + 250747279, + 317759186, + 699894415, + 741249907, + 7101324, + 110266899, + 198449991, + 26216686, + 353232706, + 802104277, + 408746362, + 665417824, + 888368646, + 565370168, + 430576891, + 957735373, + 589780883, + 799338300, + 10920922, + 900024492, + 338080518, + 70219947, + 609907255, + 841878633, + 414994208, + 236555139, + 352814288, + 178796140, + 602748240, + 80664841, + 737010978, + 286608976, + 147147970, + 18477242, + 868938670, + 12924669, + 134576177, + 644507763, + 447517763, + 208712927, + 802536461, + 719573433, + 129481234, + 298151133, + 302976809, + 17764986, + 872842257, + 192362484, + 88605057, + 611210823, + 868691884, + 862020191, + 445825009, + 749126389, + 826650661, + 623427745, + 144373772, + 96987882, + 328114637, + 455886080, + 118534529, + 224522919, + 1826663, + 720845079, + 96064957, + 796380633, + 159885838, + 742949386, + 504235461, + 883292996, + 991983004, + 729246603, + 807137342, + 128814960, + 733948180, + 481492365, + 899445598, + 255846118, + 190089810, + 327434115, + 912920518, + 988080331, + 498448004, + 553641460, + 640688024, + 252451323, + 342240180, + 135018369, + 979439393, + 727039561, + 174193302, + 66274203, + 457837276, + 716730170, + 261296156, + 144719489, + 573831035, + 434965159, + 765425199, + 114748479, + 297912773, + 797611702, + 918896316, + 884540955, + 444936329, + 706027557, + 528667314, + 753222655, + 384721590, + 431614072, + 758575995, + 303344420, + 577720745, + 382372457, + 264857816, + 964538069, + 942767103, + 61569185, + 785097010, + 521691169, + 489780864, + 27067643, + 275636751, + 846000150, + 599164211, + 33967024, + 274318063, + 53917069, + 454942982, + 928280442, + 892727017, + 583311796, + 951639658, + 970330026, + 242301121, + 350184455, + 689276298, + 551191919, + 286150645, + 248465465, + 73584682, + 693620621, + 914895403, + 571499980, + 860297805, + 60282498, + 919630150, + 490457567, + 561589717, + 579460503, + 679088169, + 152190912, + 979184344, + 182649412, + 20770295, + 48782943, + 25201019, + 442057952, + 31044094, + 114676915, + 747894309, + 946704711, + 310304449, + 601324803, + 152276689, + 81019229, + 373384289, + 420645317, + 758387642, + 95166071, + 590866597, + 477548481, + 901198885, + 128453774, + 74144784, + 278235862, + 263372211, + 217763683, + 633538336, + 647670257, + 284268114, + 880933233, + 837201417, + 385173529, + 41347500, + 450044983, + 621644040, + 14441178, + 702517056, + 498978326, + 817540745, + 503613053, + 14021254, + 829559619, + 174636142, + 605466876, + 213804699, + 550740383, + 772428266, + 386703427, + 659200105, + 919826246, + 854732201, + 871762476, + 141204776, + 171895765, + 136625246, + 480685906, + 202583237, + 883935275, + 692888472, + 369179280, + 749021910, + 686247880, + 54499796, + 215419337, + 652954969, + 820599356, + 857397439, + 940555642, + 938980318, + 198806725, + 947205582, + 234537643, + 201980654, + 22174187, + 182489994, + 401980344, + 879057254, + 974027179, + 615545365, + 979436321, + 387729601, + 11969829, + 460377333, + 662590116, + 992785026, + 791742096, + 927817366, + 6327010, + 562716420, + 568834003, + 676326927, + 739534038, + 503739630, + 829851770, + 508235597, + 642629603, + 937514799, + 710207569, + 812799516, + 637873812, + 866020060, + 373265106, + 139223466, + 621652546, + 677221261, + 95689412, + 242545922, + 334053200, + 872322489, + 493210994, + 89945409, + 28060643, + 768300917, + 719548519, + 747111158, + 249961649, + 257818060, + 625722808, + 135659885, + 931171511, + 361150126, + 5563793, + 512217956, + 547780113, + 257468888, + 424163016, + 365800372, + 908277773, + 753044111, + 813146384, + 559377887, + 512579304, + 989702247, + 785076417, + 515022706, + 589090973, + 171359496, + 667814595, + 334432268, + 688173536, + 858095229, + 372273614, + 587373130, + 90861762, + 458009342, + 253190700, + 94037520, + 996229644, + 723908746, + 461234802, + 230100913, + 444083252, + 962184442, + 231841712, + 320239636, + 457564113, + 527113402, + 118414292, + 328252525, + 389066051, + 277832689, + 466288003, + 690910597, + 673658704, + 123684924, + 776259973, + 573511155, + 658427104, + 813136143, + 939539837, + 206945640, + 894659705, + 64084700, + 186565026, + 123773533, + 42194133, + 859847116, + 120090172, + 892486754, + 429268798, + 618247805, + 420722218, + 998943769, + 416689395, + 806586082, + 232197893, + 200003513, + 438346326, + 170382569, + 459671528, + 540467873, + 595480241, + 907598149, + 967127074, + 895834117, + 893329952, + 741563567, + 490928162, + 947659008, + 490034792, + 713815386, + 926922099, + 57181714, + 142199882, + 897840179, + 776051490, + 612466997, + 436561879, + 542987473, + 765874581, + 551321275, + 258428046, + 656593313, + 62175677, + 160664063, + 290961152, + 661063175, + 486908487, + 729879131, + 407468266, + 448901953, + 383788019, + 528651108, + 635168523, + 162589619, + 795175358, + 920847486, + 894021833, + 840642003, + 28089638, + 132424694, + 580531444, + 587383053, + 806448356, + 321869756, + 105519650, + 623603208, + 601056231, + 409303935, + 942466086, + 118505096, + 756871084, + 21972320, + 514268708, + 74609495, + 431099325, + 773043852, + 770479134, + 779244966, + 685227747, + 708253984, + 120537723, + 783985651, + 205040376, + 731229226, + 541984320, + 793670003, + 562720839, + 702001124, + 748616488, + 245323642, + 515204547, + 564160806, + 326778203, + 595361646, + 416163812, + 330638170, + 134894272, + 989638968, + 637503943, + 327144227, + 829009601, + 735845097, + 338830524, + 873074509, + 783254491, + 17184112, + 625948964, + 392497500, + 552916, + 992889233, + 782431309, + 142488919, + 985030505, + 819834659, + 538610339, + 847486583, + 734334921, + 667225420, + 475892643, + 50645425, + 110862471, + 563485708, + 309911318, + 869610514, + 553262445, + 336772126, + 585160625, + 818985898, + 124107016, + 568214004, + 664239993, + 400916289, + 993275698, + 457194639, + 685678108, + 842283352, + 308692554, + 485128153, + 735747250, + 12352104, + 150792695, + 942063233, + 622828732, + 517373604, + 215478236, + 907742333, + 573271340, + 836591734, + 672421477, + 638182020, + 420266803, + 228283280, + 850492062, + 763003834, + 818561254, + 988007863, + 90772248, + 632535366, + 759250788, + 221969688, + 608830114, + 735673136, + 547861170, + 908972157, + 665387572, + 353620077, + 909838188, + 615033367, + 979541354, + 648510681, + 696870704, + 602249994, + 826617657, + 323010723, + 701015038, + 557837186, + 5958245, + 463567488, + 684893206, + 148854794, + 976853814, + 395563000, + 81091298, + 838431121, + 730477998, + 187423796, + 577528840, + 210082301, + 521577004, + 767016397, + 825505242, + 44561195, + 34972184, + 760482563, + 805331970, + 413748777, + 255754969, + 13424725, + 70677732, + 217636024, + 602186127, + 68604795, + 543123306, + 160448209, + 34812457, + 999084309, + 212026390, + 219257631, + 424351852, + 758024195, + 312120147, + 677003322, + 578474208, + 247338979, + 550211971, + 84432810, + 203677930, + 860600738, + 567303627, + 451781699, + 706680208, + 857369988, + 932869413, + 155909843, + 305466478, + 509927770, + 376269316, + 891610453, + 302290875, + 159325679, + 609381920, + 433908436, + 703787323, + 80652248, + 461303672, + 382350539, + 198532756, + 340779313, + 613266691, + 652320148, + 566342044, + 466749003, + 427224375, + 816378628, + 404914876, + 134747644, + 1195043, + 254040569, + 506720491, + 411777647, + 112169828, + 657248069, + 720437222, + 716949443, + 578388558, + 733946110, + 231637763, + 432933337, + 158634991, + 776923951, + 665068553, + 417020433, + 327806294, + 74569036, + 813093763, + 522108277, + 263440200, + 854456461, + 408331474, + 468929862, + 781946183, + 344566907, + 943249447, + 382463585, + 7508656, + 989784308, + 690671871, + 361007644, + 26503230, + 567742526, + 522728803, + 746410191, + 575905060, + 598124512, + 199451237, + 515769403, + 714375902, + 446009916, + 321965390, + 58301803, + 880793239, + 821285251, + 199698273, + 194845190, + 161252160, + 816478737, + 79170840, + 9787340, + 618781362, + 236626673, + 218119709, + 953034152, + 575512017, + 988641404, + 628532128, + 321823349, + 838693197, + 476363826, + 388910715, + 883486156, + 378350474, + 803551173, + 182438749, + 875245938, + 282180177, + 942753946, + 635288468, + 584522905, + 137996785, + 620609370, + 362003347, + 83483065, + 455398863, + 284359821, + 963934881, + 831110359, + 820366887, + 782299294, + 978147958, + 951104408, + 316807300, + 164508676, + 299594126, + 554390339, + 442284353, + 994913468, + 505022743, + 788510391, + 825305081, + 679894914, + 193079875, + 165535837, + 452144215, + 432037650, + 360379353, + 829435548, + 144771429, + 36241074, + 65127927, + 290250554, + 719302089, + 369226062, + 370077669, + 918694442, + 713292299, + 89560871, + 430788487, + 483954625, + 747727825, + 192940588, + 322755190, + 763540863, + 113609289, + 824759770, + 130160680, + 79102378, + 159966509, + 786105129, + 754575887, + 461190313, + 403816879, + 525426061, + 823025203, + 535915724, + 392078547, + 462693556, + 347318545, + 175312774, + 170701780, + 485307946, + 780315636, + 972989398, + 244211118, + 828320985, + 569897480, + 503212283, + 143450910, + 271486393, + 273205956, + 335256190, + 74904289, + 539447684, + 710812217, + 988962791, + 424839011, + 816015234, + 690468240, + 538362184, + 881222, + 976602359, + 540778546, + 105493488, + 833275471, + 527988660, + 759542395, + 316140533, + 836819713, + 629271360, + 897338862, + 656380836, + 500715733, + 716170082, + 99899699, + 724874175, + 691670599, + 24112102, + 280194474, + 302781152, + 918322274, + 651000118, + 868764976, + 761020043, + 562518786, + 553814794, + 880054413, + 481757401, + 371079139, + 77656159, + 537790066, + 460007765, + 89536263, + 401322694, + 969487399, + 18457128, + 657979782, + 126827796, + 986721927, + 425651283, + 349259507, + 945824777, + 760094238, + 870000491, + 576392845, + 958774217, + 112132705, + 921828782, + 791297740, + 625997400, + 541833680, + 939700277, + 756885209, + 815523198, + 506106250, + 419852744, + 713355596, + 115496383, + 460961793, + 591268061, + 599074306, + 684010359, + 935833175, + 188159853, + 862104222, + 679935343, + 64880697, + 168213929, + 890158503, + 828873259, + 450541962, + 370708712, + 352480658, + 876191254, + 449182939, + 985588741, + 798393941, + 829490351, + 324510479, + 981169144, + 737264075, + 345635011, + 811006440, + 195923428, + 48376185, + 985303652, + 138396208, + 335927965, + 956061067, + 792647985, + 161015997, + 765750898, + 847721856, + 73626005, + 513276106, + 250181343, + 528945174, + 727531954, + 712140924, + 390069872, + 411044648, + 966103977, + 499852931, + 971007026, + 436459433, + 998234202, + 476754591, + 114566706, + 57010266, + 770658010, + 340732667, + 176462073, + 611588798, + 346561449, + 630818369, + 303687536, + 518546296, + 474000922, + 932714083, + 546930667, + 850529175, + 910353142, + 52572666, + 624205161, + 980007995, + 9761075, + 80605263, + 26910544, + 409156881, + 182193731, + 698116968, + 759543734, + 789799629, + 776567557, + 693482369, + 90712193, + 893630038, + 719040269, + 691810755, + 820435502, + 794587458, + 470211536, + 13324548, + 894912673, + 446097096, + 683864252, + 656502542, + 398758351, + 591959939, + 527755342, + 715494994, + 803643537, + 612477901, + 454439190, + 258189423, + 595945734, + 252150095, + 409930192, + 821339678, + 340973019, + 683821424, + 632879990, + 161752397, + 322824838, + 529136272, + 84227620, + 954213581, + 309051264, + 868056712, + 576185414, + 814035301, + 895097837, + 274734646, + 909603204, + 951213846, + 99745973, + 685968232, + 326857618, + 261551513, + 275421353, + 353715955, + 379019012, + 56222117, + 973522155, + 581924708, + 67195162, + 799981940, + 403459263, + 935195606, + 257897278, + 50469948, + 21016063, + 189018368, + 522123657, + 335461431, + 33769908, + 541149454, + 781742771, + 261805545, + 928969380, + 282417377, + 222763139, + 332806977, + 105759304, + 530978426, + 648871779, + 609398129, + 232335442, + 414678167, + 20111297, + 927850811, + 37035487, + 318771550, + 550638639, + 219458922, + 946115662, + 158663371, + 750045243, + 498790691, + 149133215, + 702265613, + 594340071, + 558966539, + 195549741, + 863031081, + 5007310, + 64154074, + 107131672, + 920493435, + 567339417, + 941647010, + 444635666, + 442823492, + 454544830, + 532768252, + 849906184, + 186171153, + 566881898, + 122590559, + 584914347, + 772636719, + 121638692, + 189121256, + 815473832, + 534279914, + 557020095, + 237531843, + 765644225, + 752287640, + 693633247, + 599927388, + 959562466, + 708335321, + 369601862, + 188121978, + 799576681, + 558308849, + 113788713, + 907580402, + 773993752, + 272549632, + 842690798, + 267959223, + 755472497, + 789820620, + 26361818, + 43860648, + 160481998, + 209012762, + 829219237, + 315437588, + 914233071, + 877318124, + 54420481, + 694579096, + 696149548, + 733300822, + 451662301, + 571227951, + 97067078, + 35424107, + 868321812, + 134708083, + 451790745, + 810347592, + 850656055, + 395850573, + 407380795, + 303365359, + 449823115, + 369070052, + 313946831, + 866017326, + 912157599, + 929233112, + 626668676, + 695889064, + 431225309, + 509769357, + 19930167, + 719013341, + 712215110, + 933343372, + 57981427, + 887596285, + 590807009, + 874182380, + 120507255, + 198543410, + 369743752, + 793799077, + 680857854, + 515581560, + 319201048, + 452483529, + 692744351, + 521835990, + 477275380, + 683024723, + 692314022, + 696934813, + 534050163, + 10391463, + 394129242, + 534482876, + 237642900, + 65598493, + 407686512, + 336217822, + 820314054, + 917810023, + 928732418, + 901312913, + 757845187, + 221084558, + 40296587, + 860864457, + 105346502, + 92159415, + 756191461, + 801453106, + 577137553, + 168803970, + 681665839, + 583282880, + 381321747, + 942465428, + 654726895, + 852572876, + 320333453, + 186370985, + 720771289, + 518552735, + 866537027, + 949924042, + 106665417, + 213436261, + 95615208, + 942713181, + 766428630, + 850920970, + 105109854, + 99022906, + 301501451, + 714567423, + 400326758, + 614744733, + 980671531, + 48368283, + 298672952, + 493589886, + 632120875, + 532329520, + 840700238, + 414783676, + 917358182, + 13849266, + 263339269, + 291998584, + 587956421, + 922004876, + 279886412, + 380013437, + 579059391, + 154422599, + 581712079, + 455895913, + 384364458, + 214214516, + 526080888, + 836105044, + 741228629, + 486387969, + 964304991, + 793132515, + 516331387, + 650660843, + 582200669, + 866885503, + 488093538, + 875492075, + 404850934, + 268927179, + 864990673, + 254635178, + 718145272, + 684996444, + 5570375, + 711144327, + 367193702, + 326705053, + 265697343, + 110996427, + 364004741, + 982521479, + 574983515, + 292950817, + 200599756, + 850309423, + 120247264, + 272031696, + 378958075, + 444616971, + 375238118, + 592889182, + 522545701, + 384792339, + 829135181, + 652570564, + 542500371, + 21490391, + 518994475, + 769803130, + 667929838, + 831026070, + 565356333, + 814778043, + 980514928, + 534810970, + 235683970, + 770711496, + 456959338, + 130580535, + 429913060, + 693146237, + 893596359, + 150237832, + 623901780, + 24955420, + 758677244, + 683826033, + 32751933, + 687246890, + 920376141, + 44059763, + 206189172, + 779755072, + 228125848, + 284545518, + 36130352, + 79834813, + 134926384, + 574476397, + 376040, + 803880556, + 517389210, + 417325092, + 930129493, + 716372089, + 296779740, + 149961999, + 440722102, + 414551794, + 171358789, + 602693270, + 790390075, + 415172446, + 972649159, + 507123138, + 260330617, + 955697677, + 688498836, + 850768931, + 557613802, + 25046253, + 851182505, + 621029551, + 296243037, + 677427431, + 556619846, + 876023627, + 772622608, + 450392159, + 681370067, + 772211310, + 348639884, + 714744090, + 550373688, + 602190662, + 676201832, + 738276061, + 387901645, + 863939457, + 722451716, + 710114627, + 31969674, + 920513079, + 435301114, + 217673533, + 418524233, + 810701192, + 587687584, + 980744715, + 511567964, + 616381604, + 364715966, + 680216488, + 303798206, + 532614425, + 172092012, + 682040294, + 237201707, + 881673581, + 857871287, + 603015009, + 61255080, + 239244457, + 990293944, + 100161687, + 553362148, + 230402228, + 467361363, + 772524061, + 926680815, + 483883214, + 288761756, + 716483088, + 209609777, + 765826347, + 613482686, + 214801193, + 714647210, + 566757887, + 646227272, + 842767620, + 255749895, + 277754928, + 36853066, + 91855199, + 453776434, + 62838713, + 27191314, + 279230930, + 198844828, + 17278153, + 295090422, + 190912569, + 138227180, + 222506206, + 631978198, + 117158330, + 527118820, + 817119896, + 128970895, + 524671221, + 405557394, + 246431438, + 68704571, + 157679935, + 294523339, + 790981188, + 918651776, + 368322397, + 318010189, + 410575622, + 494304015, + 179940090, + 962044655, + 45997876, + 626779330, + 190966194, + 787888528, + 492513935, + 161787803, + 783034882, + 672583634, + 545035874, + 49430096, + 944663250, + 446660749, + 457088655, + 778540426, + 252473221, + 965149368, + 343922219, + 649287125, + 527240620, + 678181820, + 11187082, + 98777536, + 1853308, + 66250875, + 787817634, + 272576328, + 89948356, + 484008708, + 582583500, + 410266943, + 712476335, + 647629680, + 221551989, + 886942561, + 1908450, + 47511267, + 477427936, + 465791489, + 17483474, + 927474836, + 48084365, + 774095145, + 990902171, + 120638760, + 964482180, + 379090601, + 537122549, + 752402597, + 491966041, + 23687209, + 854507954, + 457473794, + 839894733, + 530652497, + 453358242, + 576077582, + 981971866, + 711674169, + 709430531, + 647943727, + 876611044, + 728285217, + 769163815, + 400278290, + 672312379, + 674840669, + 7769616, + 560755884, + 750556615, + 38142945, + 183556208, + 299735398, + 338327322, + 697786936, + 120928551, + 891003589, + 397271951, + 681917588, + 692196926, + 25877270, + 273656862, + 116960535, + 458749063, + 878868851, + 430203760, + 662683356, + 454806847, + 55101326, + 496828187, + 123297613, + 932639343, + 423439826, + 633306286, + 398223617, + 396180473, + 507505188, + 197958818, + 243389366, + 213396199, + 787293909, + 147716951, + 361558144, + 875950600, + 354906796, + 477636859, + 942837670, + 997398633, + 95492024, + 991148588, + 431342359, + 881836049, + 71826532, + 162990613, + 657452404, + 431709824, + 242912233, + 252904222, + 364381958, + 121973730, + 83404069, + 109387824, + 754196893, + 191707321, + 168411420, + 773641118, + 70798162, + 951321748, + 684821727, + 960172075, + 818796622, + 88533058, + 282885094, + 965336393, + 176141487, + 538615162, + 467144579, + 73086666, + 750017352, + 211936837, + 896021806, + 707836500, + 506590047, + 194455955, + 899906043, + 159793296, + 997725941, + 129574686, + 465632353, + 697758541, + 917637653, + 387399335, + 492050452, + 51229230, + 756731134, + 750169813, + 879832987, + 573913645, + 161808320, + 741320087, + 357152118, + 157022401, + 794940243, + 608153429, + 256945643, + 260971152, + 795580573, + 910631662, + 712387323, + 185674301, + 30121646, + 435139389, + 415688177, + 420141667, + 464634167, + 19260635, + 466547109, + 835771343, + 141465533, + 975700784, + 202588411, + 72638826, + 164466351, + 289459109, + 36182903, + 239704823, + 268832240, + 513590080, + 178862716, + 346206457, + 586663822, + 925131742, + 922031809, + 749573404, + 468022716, + 340437215, + 613034473, + 393853485, + 513881430, + 124189816, + 131889078, + 776918727, + 20664858, + 583314185, + 621842208, + 910576063, + 670711456, + 2425344, + 558424037, + 524071743, + 836858853, + 550095029, + 959510419, + 963998613, + 478407602, + 375298539, + 141396226, + 611854734, + 963346213, + 23637685, + 653168416, + 546975078, + 454441760, + 50526581, + 11428745, + 147046226, + 819971836, + 900331567, + 76561069, + 290606880, + 546556240, + 262098571, + 218773575, + 114612974, + 238097497, + 880247328, + 222576960, + 28469507, + 961938469, + 963840243, + 180693394, + 666680659, + 920797884, + 320104563, + 773556184, + 159590040, + 94814384, + 161473392, + 363258482, + 197517919, + 509151349, + 50874660, + 663783919, + 389081299, + 669702026, + 925911412, + 561245876, + 429387045, + 269185631, + 651559625, + 799174400, + 109253474, + 151968315, + 336423044, + 386077688, + 750802971, + 321479651, + 771928877, + 619659976, + 964687903, + 378728122, + 821210743, + 832171502, + 227465199, + 956208380, + 889280186, + 925375711, + 637628731, + 811604675, + 739216468, + 592638189, + 82784139, + 72423201, + 982402109, + 950684214, + 576605466, + 920291954, + 250067481, + 522137782, + 954283141, + 378282026, + 448699971, + 293712929, + 297152112, + 215495054, + 967862844, + 100749604, + 903656717, + 897703369, + 227835547, + 124823164, + 57165720, + 767921770, + 583391086, + 501694421, + 405280872, + 745979612, + 923961563, + 599545999, + 351012334, + 431900066, + 250761463, + 713826088, + 666832423, + 710653107, + 88057938, + 501332861, + 965970810, + 669021345, + 487829654, + 671122194, + 682597637, + 871773594, + 287848249, + 562071499, + 243531239, + 152705970, + 151083337, + 489414456, + 193474326, + 360231907, + 603825675, + 303065727, + 41292205, + 358000022, + 451632717, + 83805122, + 385690458, + 699783620, + 69932015, + 855092591, + 20254903, + 742564359, + 338812379, + 172158740, + 759664004, + 672626956, + 50142697, + 646254061, + 35228171, + 221773893, + 781911810, + 315018347, + 886535474, + 388040960, + 853349158, + 683127546, + 981100150, + 407021009, + 215143467, + 535800583, + 612520821, + 391949832, + 457780795, + 175988719, + 315110011, + 990783967, + 431382494, + 984695635, + 525377962, + 200421864, + 434952292, + 786539298, + 214783351, + 24874876, + 133307338, + 951434448, + 693124599, + 903258294, + 782523497, + 505797524, + 861039022, + 355172498, + 953289880, + 986157939, + 989724246, + 239367964, + 530717691, + 513400187, + 12035253, + 38216372, + 223460404, + 336324263, + 503072370, + 541553706, + 941371157, + 475589941, + 367352522, + 385823355, + 805385408, + 375096645, + 135453609, + 958226597, + 387881677, + 297222332, + 762577877, + 762770115, + 118226204, + 373872526, + 543209616, + 159643874, + 666727030, + 686282412, + 591249697, + 910669556, + 16963229, + 341426900, + 861407152, + 578201471, + 423169514, + 72169917, + 39626743, + 435326638, + 423199487, + 868213901, + 973877706, + 679035267, + 219246534, + 304668370, + 58083992, + 37677382, + 756457231, + 329300322, + 842023599, + 580183047, + 485047813, + 762818917, + 137593555, + 222921479, + 635974814, + 268734612, + 235944276, + 352126652, + 360242133, + 593407356, + 853867255, + 469076413, + 815976645, + 96646356, + 418143840, + 134095206, + 265380985, + 936173095, + 944455058, + 557789200, + 277805037, + 677819802, + 576669692, + 268538534, + 828908530, + 820735870, + 951345774, + 711794447, + 924076096, + 657342834, + 425890710, + 798682365, + 689248851, + 168459894, + 823675503, + 816866314, + 474869241, + 188643250, + 960771615, + 862606025, + 961085006, + 221609891, + 732423791, + 948028385, + 435989822, + 205319360, + 316459031, + 753597891, + 529056227, + 892759962, + 274250633, + 547499987, + 445147485, + 506216019, + 736772584, + 405508332, + 889663256, + 572848579, + 204831516, + 547465007, + 818171649, + 506552791, + 877181749, + 338670786, + 241179195, + 940416745, + 406903895, + 478685898, + 893994740, + 62090731, + 359866286, + 479271962, + 995542471, + 524526743, + 330553397, + 88160527, + 864435074, + 531384718, + 904272563, + 272099224, + 232428325, + 771496781, + 611752309, + 482829362, + 626532252, + 469547488, + 406151417, + 673991492, + 982230677, + 110608144, + 305472707, + 202102722, + 911354329, + 566510721, + 978366584, + 91536627, + 421495913, + 917759132, + 19213889, + 90189152, + 798543597, + 634182145, + 139064302, + 437464008, + 721618959, + 17823511, + 847061648, + 550786224, + 606080999, + 275890052, + 585065939, + 227637404, + 740433782, + 313011158, + 328908951, + 231901691, + 225019884, + 452726941, + 954848383, + 652630139, + 819300286, + 7058772, + 516399762, + 922568409, + 287528309, + 697258359, + 106122212, + 365031094, + 762031022, + 97889283, + 415494804, + 183334472, + 891144412, + 970585419, + 401652716, + 544445400, + 522072845, + 470375412, + 829602586, + 620215909, + 316415776, + 393208198, + 451001485, + 990746608, + 645083613, + 376611177, + 667407726, + 55746839, + 362437643, + 471089962, + 43989236, + 732120110, + 778905674, + 677648772, + 41627677, + 323274092, + 387118039, + 379081206, + 970998182, + 131889231, + 248507290, + 285301826, + 755715978, + 197416720, + 404595113, + 173096886, + 399637131, + 263236646, + 467806592, + 285387327, + 298170886, + 617944894, + 512707466, + 754372474, + 117692189, + 223989691, + 62903061, + 479605065, + 163368677, + 346895642, + 133812726, + 845714434, + 495932465, + 658035517, + 207747278, + 599301397, + 912863798, + 92202870, + 285404463, + 592803951, + 781361083, + 962093247, + 583853499, + 218237798, + 386949128, + 343895607, + 971697754, + 866484826, + 640802299, + 80197980, + 313726857, + 773149992, + 605161329, + 455638442, + 428265953, + 892777295, + 982527498, + 40791588, + 560570515, + 436600933, + 478219144, + 438144611, + 422825526, + 259795103, + 857629820, + 212850592, + 594068238, + 843254073, + 973752375, + 560681021, + 239828553, + 900366410, + 885318507, + 483605019, + 215637614, + 324569995, + 332406731, + 767896754, + 922009278, + 296986916, + 681109404, + 800656703, + 728333631, + 52585276, + 551728994, + 627789000, + 784744640, + 544897026, + 383860120, + 759196839, + 828596683, + 377137115, + 360170936, + 768115968, + 174490284, + 395300266, + 485846210, + 578501760, + 909874985, + 678280865, + 618472277, + 676364952, + 933757206, + 399741200, + 243305405, + 64278304, + 366454816, + 664749865, + 293952296, + 968895913, + 813469551, + 60181934, + 666293359, + 823010485, + 937025608, + 264627387, + 580768287, + 377638609, + 880875020, + 172389997, + 817456019, + 546280000, + 72670078, + 263214339, + 188906769, + 312017742, + 18775803, + 174065663, + 460119932, + 120839350, + 674939293, + 767743814, + 26923210, + 967748308, + 112760854, + 355835935, + 447716699, + 595213499, + 545196428, + 389926502, + 236496079, + 613053500, + 875552527, + 645546339, + 949719764, + 465665286, + 354090667, + 173640591, + 216017586, + 235896169, + 590336193, + 525064112, + 136490918, + 265430775, + 989989389, + 973747529, + 346285065, + 852969387, + 689503931, + 670635492, + 629906259, + 938176303, + 96110328, + 486024168, + 2206499, + 700928398, + 885045157, + 833889824, + 133978281, + 7923685, + 128263291, + 701498533, + 9354286, + 50491603, + 523571295, + 555424423, + 970335891, + 90614422, + 287003499, + 335702805, + 311852763, + 551623285, + 43720590, + 25487458, + 463866267, + 966848903, + 553844800, + 10055852, + 697504952, + 740841029, + 943253704, + 784217052, + 575784958, + 322338761, + 516406855, + 173550061, + 816450501, + 236192205, + 489894677, + 871324998, + 349414932, + 760343463, + 143091013, + 691633639, + 718959354, + 488874422, + 9453637, + 929013282, + 687983658, + 838469932, + 362222469, + 42629464, + 23023075, + 160157568, + 759385699, + 869335896, + 925772315, + 561355367, + 525955097, + 872723029, + 91560619, + 158351306, + 924804652, + 195013569, + 425642617, + 854202408, + 459801242, + 23645352, + 721328094, + 552182552, + 3351707, + 846122874, + 875441719, + 942452367, + 662027549, + 131395764, + 840741328, + 873252774, + 995898964, + 160013325, + 959282292, + 805739719, + 766997606, + 427106559, + 523130204, + 480690469, + 897671965, + 556031283, + 965354800, + 730050931, + 602008730, + 473153208, + 244673957, + 25112095, + 59035890, + 522563790, + 199678615, + 685499551, + 289838972, + 230061461, + 132305402, + 483663425, + 960746561, + 488677482, + 178038459, + 421901761, + 939955394, + 721357881, + 66652909, + 781025115, + 467816808, + 831092720, + 350300031, + 292178517, + 702002781, + 986894001, + 393409643, + 761581637, + 816326850, + 401403349, + 927965492, + 902274360, + 245962260, + 143531290, + 398984105, + 417453273, + 986993044, + 936744368, + 376078970, + 525251249, + 270971582, + 461410882, + 72981590, + 220997600, + 587683378, + 591648179, + 331287372, + 968833923, + 822596760, + 778998702, + 941521294, + 858640569, + 808479357, + 110497576, + 57396930, + 256955004, + 585608823, + 236065997, + 703205691, + 746919789, + 474985313, + 240309315, + 17526834, + 713916040, + 826234210, + 103346086, + 185769110, + 410415522, + 551943577, + 687871662, + 361495253, + 161579828, + 43969667, + 531915733, + 699045808, + 312692851, + 117510341, + 60873779, + 657795195, + 496107297, + 247052816, + 409350349, + 654254733, + 418569138, + 329822442, + 794579782, + 191478659, + 906933594, + 481488950, + 840039898, + 151063715, + 877423139, + 489138466, + 419975351, + 708366073, + 179201076, + 15403111, + 102002181, + 726941971, + 682429311, + 170746037, + 522023826, + 340714209, + 947221573, + 744966558, + 61700876, + 969844367, + 81724583, + 177105666, + 476786394, + 126092909, + 473243552, + 857823341, + 561342062, + 1950164, + 650468558, + 364317885, + 37497996, + 426588110, + 766325248, + 165727498, + 377652088, + 870561804, + 948127809, + 366634230, + 981134891, + 324337709, + 675688756, + 884334884, + 773279952, + 408674853, + 937844205, + 812544291, + 32305020, + 991828200, + 660984350, + 503177235, + 927124578, + 846638656, + 486551167, + 865653268, + 487626128, + 668409434, + 29004665, + 591231153, + 443999401, + 648371255, + 643825439, + 910709894, + 255057559, + 648630325, + 579183732, + 652993616, + 257823539, + 714161094, + 136541350, + 574495905, + 76720960, + 190632072, + 417444530, + 304149634, + 170836742, + 45188149, + 117391230, + 100829775, + 361072328, + 443051171, + 318014558, + 169593804, + 214436098, + 103598884, + 231202136, + 507258096, + 693185119, + 202155992, + 961652439, + 976349743, + 559917668, + 872056234, + 888513965, + 273311120, + 960795928, + 347166919, + 731078491, + 652737576, + 971007319, + 228899402, + 645226791, + 948062121, + 932307718, + 50639227, + 400195416, + 369136560, + 455196994, + 555612996, + 808164238, + 819068161, + 741489630, + 977403371, + 658969736, + 296785969, + 664643147, + 859521999, + 785693464, + 681644119, + 434337414, + 741397672, + 83270381, + 697067266, + 989574075, + 485810378, + 362120026, + 85821266, + 186209716, + 821342284, + 336655257, + 812225390, + 201596621, + 726499291, + 491702122, + 262363716, + 155687642, + 282282511, + 262769968, + 756205548, + 971962, + 921732270, + 118046884, + 386358617, + 308791122, + 215818302, + 489586853, + 32448832, + 722330571, + 571685286, + 549699721, + 737454722, + 112741631, + 390000399, + 569929907, + 824653881, + 113167534, + 224034182, + 603869789, + 343335208, + 114809976, + 79566661, + 667699981, + 89767431, + 32686383, + 312227049, + 167177142, + 961088792, + 178873944, + 608690720, + 482320428, + 48160885, + 355600796, + 232684351, + 454138451, + 817074340, + 266237176, + 653346727, + 670429387, + 927101151, + 306129136, + 198399880, + 600108027, + 730955009, + 890157613, + 860758407, + 666283938, + 79338775, + 20301367, + 577613071, + 894462129, + 174876144, + 759910428, + 585605680, + 373111785, + 373217299, + 754871146, + 567189864, + 87796790, + 622312334, + 533262721, + 545802946, + 890012591, + 473599724, + 925727195, + 357973571, + 479054151, + 85090483, + 506355684, + 728267653, + 624213187, + 419829336, + 907914081, + 637242239, + 903662735, + 147127600, + 265847146, + 934400884, + 118851207, + 235064096, + 37892961, + 370941544, + 425163828, + 219004765, + 644607772, + 320818169, + 682084551, + 260697159, + 758040417, + 828535267, + 675823186, + 472377233, + 154399448, + 632309253, + 220067652, + 937672009, + 471135531, + 898054677, + 57535850, + 16838276, + 24137792, + 999322825, + 176203333, + 257320767, + 128629863, + 964896015, + 969869916, + 239031605, + 288234834, + 948347961, + 732508726, + 409779988, + 582448837, + 725365187, + 700758549, + 974029665, + 987685733, + 208157229, + 705223782, + 643642186, + 421148068, + 43784342, + 38836383, + 504153539, + 545319461, + 47297170, + 856264868, + 948072254, + 894518778, + 562473688, + 659509714, + 548253669, + 91044579, + 704120130, + 674908751, + 349480934, + 123372199, + 166371877, + 939701438, + 237401965, + 792308572, + 546013809, + 131537488, + 415949979, + 867877439, + 174149298, + 57569861, + 664998431, + 678165458, + 358916066, + 51623567, + 353717503, + 461599611, + 40499155, + 369593471, + 36676759, + 264812475, + 123715641, + 470688370, + 593472824, + 888327082, + 959345626, + 525813245, + 803211641, + 33680413, + 7152350, + 9533475, + 67154487, + 230149005, + 705440769, + 564287215, + 839554901, + 439693, + 58630236, + 632621303, + 193915581, + 860547841, + 42642979, + 371122612, + 133215996, + 179278438, + 946692336, + 130456065, + 528801948, + 630991102, + 567783980, + 586657279, + 832806122, + 345190553, + 374305766, + 439913458, + 758950359, + 569035316, + 25405455, + 334777719, + 78969806, + 469171060, + 288873447, + 572426436, + 282256600, + 775289958, + 141901153, + 469542832, + 423519670, + 399428638, + 470406167, + 614954380, + 863059093, + 816921958, + 430706384, + 61206815, + 672397939, + 466256017, + 207553294, + 479373210, + 560183259, + 271960753, + 608420930, + 220789815, + 224659139, + 375078449, + 877030288, + 898878905, + 401678290, + 660371704, + 326951799, + 949890650, + 810691450, + 733410621, + 580874766, + 633436165, + 66966220, + 389326689, + 313396849, + 139309842, + 433084417, + 229927478, + 431277552, + 194484188, + 70923261, + 733141318, + 585005130, + 838304891, + 130553005, + 889943815, + 820460585, + 363133071, + 338016718, + 363880448, + 795406273, + 741595375, + 864885523, + 422268059, + 158762460, + 654719400, + 610747512, + 388933379, + 552288255, + 841268100, + 649400929, + 561263206, + 835514764, + 920671985, + 320832044, + 765676994, + 122589299, + 79283088, + 765759620, + 873565544, + 81605367, + 888507061, + 713469328, + 341204338, + 889329646, + 530895806, + 767226163, + 541246571, + 139209837, + 765376270, + 767833885, + 316375726, + 882259350, + 529830601, + 793495591, + 771521026, + 187599318, + 790057604, + 779209879, + 364817410, + 504708141, + 560766401, + 476329153, + 238532911, + 493558338, + 948635418, + 675549130, + 958231709, + 577844914, + 929863319, + 224493682, + 275112393, + 624487428, + 141846201, + 324623267, + 287024816, + 506520244, + 506977776, + 322908743, + 976445103, + 63693151, + 721463596, + 712066519, + 353758458, + 573328372, + 307954379, + 411253196, + 966558107, + 30622353, + 248747469, + 569264185, + 94026131, + 405736092, + 775457203, + 413495482, + 47827349, + 514301740, + 209128485, + 129513115, + 791538074, + 450786746, + 855533020, + 957750087, + 698485616, + 492581427, + 204527145, + 81357909, + 970255042, + 452557132, + 258691013, + 49775000, + 339849587, + 164142201, + 873412158, + 703236150, + 719328439, + 246770862, + 146074393, + 448828285, + 123131600, + 480165499, + 318144199, + 485481918, + 924427704, + 784137743, + 114205664, + 582652572, + 785524683, + 741501256, + 661776278, + 133438654, + 4006172, + 386432524, + 725888498, + 755756547, + 3680007, + 316027353, + 448160006, + 398810294, + 515445604, + 620572806, + 512121573, + 466445888, + 931093571, + 580919835, + 314419761, + 617687804, + 842032613, + 846770922, + 907206263, + 347278080, + 286460903, + 652945512, + 554115165, + 260646233, + 815877527, + 430449681, + 691984032, + 89028337, + 588521566, + 780085387, + 566355042, + 429913487, + 42789379, + 99829926, + 936705619, + 679335571, + 998726690, + 85328008, + 501063127, + 740141131, + 46162349, + 330414828, + 402696027, + 732745281, + 262969170, + 910343505, + 586070865, + 163887961, + 66025593, + 972354619, + 293850591, + 576135593, + 265996767, + 607334905, + 749207587, + 569041329, + 855150047, + 503777289, + 6173687, + 178315177, + 750762154, + 51424231, + 33796580, + 121052392, + 908308829, + 581431255, + 258924928, + 973320903, + 93366171, + 6503797, + 597217665, + 314985936, + 904172156, + 911450384, + 521553619, + 749588040, + 265243981, + 654167351, + 287452972, + 356166895, + 8220813, + 732956100, + 550477169, + 175423306, + 99093909, + 414975847, + 757970733, + 103969369, + 66421878, + 712006509, + 989216382, + 576890915, + 795643276, + 78577570, + 360529040, + 361812012, + 433535405, + 192629086, + 925124614, + 437961832, + 49246140, + 689999553, + 565822180, + 22971266, + 50266551, + 758288487, + 744425768, + 796441458, + 967387998, + 33430524, + 188466216, + 732917336, + 312556134, + 423963113, + 168550387, + 350690114, + 145310337, + 364558808, + 347593395, + 709636014, + 945108455, + 671566789, + 828181309, + 220065977, + 150351674, + 100734715, + 261336962, + 886771332, + 943535182, + 446786616, + 758388721, + 689367384, + 284512716, + 486842493, + 81021949, + 448822193, + 43135728, + 150155604, + 740667260, + 854317117, + 8326871, + 371001426, + 363448344, + 933716475, + 360341510, + 318322509, + 539834538, + 345588807, + 557888330, + 809321779, + 998910262, + 639440773, + 165269137, + 524935848, + 640240621, + 243339118, + 726981224, + 35761187, + 494300067, + 992653190, + 92210298, + 302996144, + 846826660, + 720653338, + 875143355, + 181138170, + 671299202, + 991940965, + 196195445, + 78536551, + 448296750, + 535525141, + 373413194, + 833686775, + 114915586, + 990515304, + 728587357, + 152884375, + 379621636, + 222320007, + 492198611, + 4272683, + 57930557, + 436384161, + 827997364, + 905778380, + 273742775, + 508179215, + 717769547, + 608948993, + 196291324, + 10164407, + 97813745, + 35222133, + 930891959, + 874410288, + 124259331, + 15608370, + 256325131, + 244234687, + 556379437, + 586206779, + 952021692, + 4652030, + 915043394, + 279008014, + 857429902, + 890220512, + 302201939, + 305407260, + 632865272, + 614380002, + 281205725, + 363506537, + 604314400, + 381833535, + 843581038, + 78161400, + 951559833, + 13260176, + 67211565, + 923355954, + 471116546, + 800607159, + 392937123, + 355406020, + 429844235, + 134255046, + 571160861, + 903721209, + 517550733, + 489520853, + 449706526, + 768047558, + 320910658, + 674021521, + 748448968, + 182146580, + 103076942, + 789593777, + 718666274, + 640505281, + 645430243, + 947556837, + 787598027, + 2447642, + 687442132, + 752080623, + 377867102, + 26438417, + 285016861, + 150625668, + 213166511, + 580501556, + 895288605, + 21849366, + 76661503, + 278969455, + 336497719, + 728774076, + 572103279, + 101179756, + 395689447, + 195837654, + 367345598, + 212884006, + 380505628, + 399251664, + 621160694, + 51374556, + 483240249, + 487430698, + 607534604, + 1265225, + 3814582, + 277091546, + 86498077, + 843280645, + 652299465, + 665046698, + 777145470, + 949576078, + 919101823, + 102172560, + 445094612, + 725426868, + 608555580, + 702831769, + 948159218, + 305239540, + 238834963, + 984564673, + 875005929, + 596713859, + 323332952, + 689390217, + 768867673, + 645201655, + 764042, + 693748458, + 839052260, + 533225787, + 134814176, + 112977608, + 451705762, + 353507570, + 635959353, + 236190195, + 684703195, + 950210278, + 522455419, + 874025269, + 539316458, + 70618246, + 263142310, + 402388511, + 250550480, + 415389268, + 82120625, + 919423747, + 130436340, + 612149658, + 857098793, + 635436421, + 298044755, + 274240289, + 791704955, + 188248531, + 527079831, + 106711311, + 142292579, + 995950961, + 538302240, + 446367795, + 345896290, + 593940199, + 729119924, + 588586887, + 318247821, + 581677648, + 119619323, + 281906093, + 32473029, + 115250540, + 112412175, + 200440251, + 32892598, + 547188426, + 630902521, + 896831693, + 652447848, + 367094549, + 659014251, + 319671390, + 234757003, + 119199673, + 412676452, + 746410992, + 948009543, + 83549541, + 374479575, + 153730521, + 580637702, + 702148014, + 718540177, + 290767823, + 728891921, + 522252076, + 617334404, + 112229197, + 541078048, + 159257113, + 7867766, + 842253071, + 698509123, + 662102712, + 157891057, + 605074508, + 166898048, + 299369023, + 705514247, + 61129316, + 609592887, + 54622497, + 742051540, + 961673077, + 479640496, + 501242301, + 492355489, + 33192801, + 58929878, + 590529846, + 994315046, + 672700733, + 745347663, + 138111583, + 149966276, + 143359000, + 907138084, + 740297667, + 356753525, + 810983284, + 275490430, + 335309217, + 402040636, + 113183122, + 121827608, + 235136141, + 136944699, + 794596195, + 101620600, + 101356116, + 529328847, + 543773557, + 329274294, + 822747538, + 157113429, + 130781412, + 762096006, + 117788692, + 463288359, + 84406183, + 694950174, + 439182551, + 640180188, + 45896175, + 711520608, + 28335541, + 194745171, + 256513199, + 588647587, + 72260706, + 579066223, + 76622789, + 988431476, + 681768231, + 571557349, + 206108426, + 308365347, + 351927434, + 347234294, + 867194970, + 211950876, + 83352767, + 347538436, + 486738764, + 385008380, + 206944845, + 167218288, + 441656553, + 729442141, + 31218597, + 165022450, + 462981471, + 966786625, + 17312526, + 886160073, + 63605608, + 352032781, + 724254796, + 458418470, + 300258250, + 797537678, + 103091768, + 508639908, + 582601742, + 69160514, + 524344508, + 921469160, + 684290004, + 960835534, + 790792909, + 605677796, + 652058070, + 705722105, + 715635774, + 817248874, + 814798346, + 837351320, + 92156489, + 517583077, + 593686690, + 491952271, + 20182918, + 416203831, + 644639432, + 751787226, + 694486520, + 599372209, + 807482998, + 702800189, + 332947502, + 767515368, + 720786374, + 443407723, + 851541235, + 267059886, + 13120877, + 265507666, + 339745463, + 527016810, + 255476210, + 383833261, + 362817658, + 462343570, + 359888882, + 854639004, + 180088620, + 126054595, + 781159544, + 415054174, + 836322486, + 214834785, + 814291788, + 884083440, + 933117201, + 300331476, + 215612967, + 619499992, + 838368891, + 744192967, + 514277829, + 277484205, + 924588935, + 948741289, + 529606919, + 205840555, + 859671123, + 714555037, + 418752497, + 740745094, + 373202385, + 475986548, + 426404826, + 598371597, + 881872059, + 725466107, + 838033092, + 251065961, + 518572785, + 973614068, + 358671356, + 523079572, + 581886104, + 190373165, + 710655515, + 148435561, + 514556787, + 265975399, + 158694963, + 592201651, + 393982414, + 116907114, + 18774476, + 267727985, + 565861600, + 977345221, + 35694974, + 564332016, + 563486065, + 846820962, + 17295085, + 335825297, + 482399932, + 592161546, + 820847705, + 915928866, + 86202501, + 471533606, + 601397679, + 844104879, + 776807282, + 233250642, + 627783162, + 96993327, + 950345122, + 163764005, + 314101301, + 571875420, + 746320579, + 642132945, + 137155361, + 481530459, + 174853581, + 918875362, + 1975755, + 605177242, + 226225923, + 177742603, + 844323421, + 810884044, + 555677759, + 79497713, + 377826339, + 610642968, + 578006664, + 139568262, + 165854549, + 46384806, + 514124993, + 40308798, + 925812329, + 139829529, + 994305424, + 708539986, + 976091953, + 41557546, + 628616343, + 658586918, + 506436036, + 623734761, + 216291003, + 923720287, + 369847886, + 752427129, + 499311111, + 810064011, + 814082952, + 69323074, + 666344028, + 954212056, + 19988714, + 606530788, + 189967179, + 995784003, + 16047173, + 420825300, + 170173386, + 133436116, + 625221852, + 436193291, + 789814167, + 440076340, + 366889481, + 190965736, + 908369814, + 514714179, + 230110170, + 206436257, + 939506575, + 871916997, + 383649762, + 678053254, + 817683914, + 958637682, + 500964256, + 903768898, + 460325249, + 87109913, + 939904830, + 236353841, + 714548688, + 796494020, + 918150481, + 369418962, + 170957760, + 712939054, + 334417753, + 268423866, + 73462369, + 424452041, + 663721720, + 975462799, + 396085637, + 973280899, + 510757734, + 398573614, + 766458548, + 742412326, + 562025113, + 886673004, + 829838767, + 228596774, + 546913595, + 319267377, + 618116543, + 572381609, + 247803977, + 683222864, + 574238157, + 963202487, + 236320086, + 687400735, + 297793516, + 997245608, + 996675339, + 635389552, + 669333082, + 512592751, + 875932750, + 587799853, + 400301033, + 183615861, + 798816918, + 408519968, + 68351386, + 518277156, + 531732896, + 257180482, + 170457528, + 872466126, + 917011781, + 797414255, + 808892818, + 591081809, + 814149636, + 51956910, + 591285933, + 912284219, + 40211521, + 484229477, + 652082280, + 32607334, + 143137295, + 31508098, + 693890111, + 983841694, + 362188389, + 975709695, + 136798120, + 470861519, + 726454632, + 777775897, + 74554038, + 600007123, + 975277766, + 378266830, + 926726922, + 277383886, + 464475513, + 214186599, + 946026087, + 990651332, + 838152604, + 190806448, + 574979778, + 377618150, + 549120191, + 548735400, + 836621467, + 289366065, + 301678843, + 736623427, + 778024077, + 648990288, + 363167715, + 343578453, + 172820553, + 60469571, + 514153788, + 885828331, + 184109709, + 704502930, + 375243179, + 783831224, + 956089071, + 524611639, + 664039469, + 657044376, + 45821405, + 403901760, + 309865518, + 162516413, + 485079541, + 863497440, + 909298281, + 138352555, + 287667575, + 772465015, + 154139049, + 966595683, + 707605772, + 261623709, + 967412181, + 746381320, + 444297756, + 822642392, + 417734384, + 583335234, + 20938289, + 48565750, + 165112854, + 195112866, + 574145244, + 837642490, + 393557688, + 575234190, + 505366293, + 608459422, + 630833743, + 535003335, + 297717540, + 664507419, + 546406516, + 306866781, + 406383694, + 616300997, + 751355597, + 342804699, + 910165382, + 964927398, + 441237469, + 967548193, + 965224995, + 517407605, + 548964671, + 257203515, + 951896096, + 813607533, + 212172964, + 844621016, + 833880666, + 116778311, + 715395590, + 739440330, + 855738413, + 105265552, + 335691010, + 206747046, + 690726422, + 797075350, + 352003689, + 835851624, + 400325479, + 308260958, + 346035373, + 442656918, + 230079243, + 63303473, + 877454663, + 229626540, + 204580209, + 960532969, + 395730592, + 350735387, + 576696996, + 803012971, + 809656807, + 3618355, + 967627547, + 622134835, + 526616133, + 140525826, + 268571333, + 828897111, + 276965627, + 112774079, + 117379394, + 740770889, + 965999849, + 408260028, + 229816352, + 86820168, + 738520095, + 713573005, + 936718587, + 954798030, + 343553637, + 930143139, + 669853668, + 916847824, + 491469648, + 910005358, + 439304997, + 525730225, + 167187626, + 462231352, + 622874111, + 713309510, + 875690786, + 478500732, + 78288328, + 507677229, + 790494831, + 811364957, + 184010585, + 799805178, + 730724044, + 868051588, + 377989506, + 29537517, + 754779310, + 232895193, + 114094357, + 364202175, + 997595654, + 148406441, + 581177473, + 140622653, + 377278303, + 755372156, + 802106099, + 109903959, + 357257187, + 52944000, + 106332245, + 204056210, + 178777762, + 516148652, + 309427725, + 268026408, + 969916428, + 470534448, + 246331814, + 387812310, + 345033609, + 754098486, + 414293223, + 453065975, + 101261953, + 848156122, + 696644732, + 72209275, + 44605820, + 58132560, + 829477489, + 541643812, + 626315204, + 863179246, + 344220950, + 350262847, + 295564615, + 893181089, + 127954018, + 794621593, + 809889944, + 66315717, + 918374213, + 415739652, + 314200715, + 561461893, + 591222778, + 255456333, + 657932189, + 41387322, + 958871154, + 394492291, + 62409540, + 66845475, + 617426176, + 38427431, + 689922529, + 225019980, + 79881242, + 282018028, + 231723183, + 212854585, + 541772964, + 156226852, + 214136510, + 145182052, + 738664183, + 545629520, + 243607098, + 168561793, + 482831232, + 224564069, + 859918554, + 298393624, + 723108177, + 263764184, + 606885679, + 405260039, + 782853984, + 942773706, + 858010793, + 317040396, + 372623895, + 360119900, + 448879090, + 979312313, + 974444185, + 797731091, + 716805321, + 742897805, + 618589214, + 98763294, + 756726084, + 581269868, + 954129205, + 958963189, + 310176652, + 834512723, + 670775430, + 174788124, + 850579096, + 585431497, + 722812427, + 759213863, + 490287745, + 831689039, + 922467142, + 696922554, + 785682700, + 175926624, + 620552534, + 736950255, + 533713670, + 425658853, + 942699412, + 229529841, + 374935957, + 54580543, + 105072495, + 474234464, + 961263354, + 241128930, + 903246729, + 592029225, + 421555294, + 681196577, + 548010014, + 103316, + 110604608, + 752802736, + 392290456, + 299288989, + 55279192, + 260505154, + 447368382, + 548687811, + 187475241, + 526814002, + 393126442, + 964601207, + 732492074, + 776031440, + 18824339, + 157272679, + 552894273, + 299178330, + 622570469, + 540305334, + 267480888, + 104480997, + 451748388, + 544848403, + 529126230, + 28433533, + 889776765, + 298107582, + 49055241, + 553490657, + 603577810, + 199292271, + 570808346, + 115259339, + 874001441, + 534897623, + 260309741, + 669864151, + 274002666, + 434378341, + 59093172, + 241490240, + 889351732, + 546051358, + 776028130, + 975218997, + 513662934, + 51350118, + 418526118, + 368124381, + 193661075, + 260676459, + 679778823, + 508333692, + 798758724, + 330941489, + 496912187, + 752928666, + 650746327, + 777846048, + 887359390, + 202860897, + 741661107, + 512808464, + 150378939, + 651102978, + 616653925, + 561971174, + 416022321, + 766329169, + 572247629, + 923113215, + 64290191, + 143539847, + 936112167, + 646540992, + 113423996, + 190256883, + 643894838, + 146101704, + 787301183, + 670244118, + 690513637, + 613288907, + 285001559, + 731086073, + 745125216, + 473397184, + 156355772, + 797820038, + 644883565, + 378048450, + 938548768, + 805419473, + 79336369, + 497534273, + 89824224, + 46524778, + 528241297, + 52930953, + 921415150, + 298446278, + 715703330, + 93047225, + 193361757, + 837871629, + 541375564, + 261740842, + 694746933, + 931304646, + 463720414, + 968656529, + 673302817, + 637062984, + 294902472, + 767777728, + 643308096, + 405908621, + 203699692, + 703291394, + 888569860, + 997458205, + 322949296, + 487472528, + 884812371, + 955657810, + 848222499, + 754087402, + 678646662, + 924056413, + 350935853, + 622287912, + 231650902, + 365136259, + 127545277, + 527616156, + 532021199, + 153368739, + 844769644, + 742013261, + 643028109, + 957098590, + 636584375, + 279938118, + 437649491, + 344028619, + 395575744, + 153715216, + 747313672, + 974451996, + 183963644, + 673854265, + 876986776, + 569696459, + 494424661, + 797935409, + 228020199, + 949092065, + 372368128, + 667572933, + 420327981, + 1370335, + 583841631, + 697777781, + 486099808, + 785253809, + 656856245, + 244920094, + 276729760, + 636611249, + 810298230, + 336688525, + 107588674, + 883899196, + 852569404, + 922936432, + 376998422, + 129391477, + 309405037, + 86084464, + 165458144, + 120249913, + 777756242, + 693966639, + 308115720, + 507793432, + 318181301, + 45509756, + 368088879, + 27270357, + 544804237, + 385501086, + 90311234, + 538802495, + 277587147, + 352853136, + 416758375, + 132824258, + 310959610, + 979154124, + 426980530, + 259941145, + 107852094, + 494516905, + 46266440, + 388812432, + 543394319, + 75513376, + 820288092, + 961358905, + 834709709, + 534404831, + 273670225, + 114088298, + 888023312, + 563029788, + 831754580, + 640137162, + 848968006, + 500333685, + 262734260, + 730921203, + 510137731, + 75085459, + 31524303, + 360124208, + 817394038, + 700694434, + 504215125, + 422750041, + 117525523, + 645625810, + 685883801, + 538280266, + 618751352, + 844051982, + 824694400, + 122700181, + 554842785, + 202819432, + 84963850, + 33122832, + 710884652, + 543924158, + 393669286, + 293148500, + 618325522, + 451748303, + 93364102, + 651656324, + 810837588, + 842724532, + 624100345, + 202576090, + 278839967, + 619233854, + 138245890, + 531993201, + 955415378, + 968933407, + 231652559, + 239989792, + 625300805, + 326412969, + 304691922, + 726001551, + 454028242, + 540692052, + 318552549, + 229046176, + 263958105, + 938619911, + 820922390, + 241280811, + 199994497, + 852390652, + 496387300, + 324549679, + 525886114, + 801341270, + 961848584, + 973263389, + 875200369, + 20830378, + 104489555, + 336584511, + 434771737, + 318015650, + 608547183, + 478510296, + 453704922, + 812850446, + 558796171, + 402541731, + 298144835, + 880218326, + 375789452, + 318049429, + 516220155, + 983356741, + 554155888, + 624579266, + 326474276, + 73030277, + 271334365, + 376360340, + 841575065, + 531123959, + 966203342, + 124384881, + 325298762, + 805462972, + 903819891, + 211737550, + 295491188, + 945831876, + 84956690, + 101494884, + 271001641, + 483498391, + 654500109, + 679057882, + 182503314, + 8271912, + 998633409, + 394831691, + 521708181, + 1733360, + 981073300, + 815586090, + 23307717, + 367279229, + 913024195, + 563223367, + 522341497, + 353604960, + 261125289, + 695608402, + 659718554, + 389350797, + 744022407, + 959985168, + 946822462, + 734090527, + 673247896, + 326684372, + 201903352, + 877575705, + 428992706, + 23097332, + 668053307, + 261863569, + 497025921, + 301281076, + 628203416, + 637426684, + 971619874, + 914024705, + 173042595, + 574541671, + 141718678, + 76155353, + 330917248, + 837135062, + 865772937, + 977707271, + 526053051, + 463987019, + 704765315, + 907581884, + 704683974, + 163747574, + 131418646, + 922167641, + 808143644, + 908329057, + 303032182, + 612043648, + 423055338, + 897818238, + 929999257, + 867327269, + 813737015, + 41055413, + 64312266, + 943548738, + 670789200, + 208823035, + 666075126, + 486507924, + 977897216, + 14083940, + 463257894, + 193836813, + 121049423, + 884681659, + 647149181, + 286624458, + 837287465, + 851039543, + 266229318, + 138013656, + 407873925, + 146351768, + 6461417, + 19790310, + 145337811, + 459796400, + 205770054, + 610896410, + 216382426, + 497877457, + 220982427, + 533338440, + 35235941, + 228828120, + 540433982, + 937868595, + 457529904, + 775382022, + 170636831, + 738587474, + 896698823, + 731452782, + 174735832, + 768963931, + 959201248, + 892534846, + 796155143, + 993599708, + 325812466, + 727949402, + 936582172, + 435464621, + 129491508, + 574739847, + 805699668, + 969529719, + 983159066, + 920090744, + 279231607, + 420941210, + 628466093, + 476189556, + 361221019, + 896718588, + 838297276, + 189675788, + 801836161, + 885155347, + 919495226, + 554381996, + 864331629, + 229688629, + 393033443, + 66629243, + 825891248, + 954463244, + 932652174, + 915577304, + 12570300, + 245585503, + 761742809, + 433436171, + 314215816, + 992792055, + 739448856, + 73408006, + 380659340, + 557352292, + 594351226, + 869898295, + 700987861, + 760080859, + 747512073, + 167841934, + 67684137, + 465720746, + 697935998, + 587014785, + 169388310, + 48807224, + 347743558, + 17088195, + 264885854, + 23567704, + 118589031, + 336665382, + 583116593, + 47190533, + 842054386, + 361208602, + 97590652, + 697747696, + 650830564, + 424799343, + 925806356, + 615333311, + 582652316, + 624785716, + 414369717, + 577624611, + 317390730, + 605320126, + 505479316, + 368912816, + 290628717, + 304203636, + 620396991, + 868991186, + 432544075, + 86910624, + 535913876, + 772885102, + 706254863, + 651857165, + 187870985, + 831402038, + 924587296, + 924664917, + 367243432, + 286382187, + 253488200, + 620685168, + 71462529, + 51652042, + 884763792, + 878543922, + 969793504, + 778235867, + 690915499, + 75242353, + 462398210, + 181011938, + 975835078, + 717009334, + 649422791, + 642534333, + 556367840, + 773427096, + 869479473, + 492393490, + 406156169, + 663308230, + 699624795, + 502565425, + 947613072, + 282862777, + 533960178, + 399795559, + 2897454, + 648019625, + 607114054, + 862256458, + 765700750, + 627843332, + 906470411, + 855896066, + 711876680, + 503463710, + 53435759, + 653304614, + 618735109, + 2520048, + 791095687, + 210518110, + 278536522, + 715432822, + 413748074, + 13825926, + 570414886, + 43330261, + 508286807, + 370513167, + 963127493, + 617426133, + 698024031, + 585147351, + 528251733, + 95747763, + 889793728, + 368695373, + 365409780, + 897444625, + 180038609, + 852221481, + 506333721, + 446194484, + 707776564, + 670636962, + 239242608, + 663159594, + 261470371, + 266072023, + 63621171, + 226576323, + 572530145, + 521459548, + 220305602, + 868747307, + 533469765, + 948499024, + 983084453, + 351267715, + 267174394, + 129163979, + 911938522, + 821218787, + 673888726, + 281553664, + 141905811, + 345693441, + 3061218, + 403301258, + 373606973, + 955542405, + 474477831, + 304152305, + 559630926, + 655843896, + 111429743, + 728649639, + 747637555, + 672528639, + 911153022, + 55536710, + 990659043, + 585192843, + 182212583, + 745691071, + 270185474, + 669134167, + 923040067, + 208752837, + 612966100, + 15761230, + 76441109, + 112132922, + 278790166, + 190036272, + 985101917, + 470645049, + 54110323, + 137007610, + 379547925, + 848153406, + 213615407, + 349419123, + 354257302, + 46443141, + 693748681, + 35650369, + 285209127, + 70458428, + 917103937, + 379559938, + 657219180, + 684443474, + 258121732, + 114563761, + 688607795, + 46825595, + 369563350, + 312896632, + 883719848, + 835386317, + 392121970, + 773443188, + 352794456, + 389876434, + 907422259, + 913047329, + 958242946, + 172819754, + 943027992, + 990116219, + 409700441, + 476429512, + 787438359, + 835866423, + 640795449, + 782417639, + 188839133, + 389440421, + 231910453, + 391423604, + 577397638, + 271951130, + 256892007, + 504544994, + 72475303, + 750058158, + 957550601, + 603202204, + 119921061, + 929877118, + 866291830, + 78607519, + 54856254, + 761607881, + 564490323, + 443778600, + 276060, + 904949601, + 512119573, + 863851348, + 882560479, + 46747771, + 619953152, + 798826966, + 618100748, + 961303696, + 699784382, + 414698315, + 832616899, + 206473507, + 378238932, + 314948390, + 229257613, + 597805436, + 838045122, + 703226114, + 961950848, + 772637058, + 844993324, + 289781949, + 339892130, + 954599865, + 353379600, + 489753665, + 593581183, + 641192051, + 924391467, + 748675884, + 771783268, + 814840638, + 346307077, + 363027924, + 196193152, + 696890534, + 1898295, + 195867604, + 281935631, + 349469309, + 62392226, + 518752655, + 668869286, + 513459529, + 825537663, + 207438347, + 200886105, + 95927475, + 898231708, + 311857667, + 303103955, + 756348020, + 817469020, + 984435664, + 303951566, + 494857662, + 72059534, + 843232879, + 490799439, + 606537732, + 125501174, + 24138707, + 877100041, + 210278819, + 488901650, + 868829846, + 402277466, + 561975466, + 593648660, + 803853049, + 279263031, + 758211196, + 978735008, + 687464078, + 414942997, + 352944044, + 291803839, + 464016197, + 74501185, + 705684118, + 202939956, + 337435526, + 57406528, + 76173907, + 280988603, + 615436383, + 896316987, + 780307796, + 805789434, + 192367414, + 727350854, + 220133602, + 981066016, + 736990970, + 434947406, + 19473967, + 133764983, + 20372012, + 414948469, + 716916654, + 153579710, + 470082689, + 370480552, + 856231050, + 494752289, + 386715594, + 327916578, + 94407789, + 411095555, + 873175264, + 320965070, + 652683875, + 593710782, + 419560103, + 413489491, + 918367228, + 981964973, + 825510625, + 872371687, + 153374157, + 99528025, + 469180715, + 41374940, + 10661702, + 127432873, + 176499171, + 247632838, + 28855725, + 724609526, + 753367677, + 629498586, + 188224904, + 281666628, + 48255296, + 227688489, + 366307144, + 478476068, + 675526919, + 449066592, + 407053240, + 623264708, + 794871032, + 739087283, + 453890992, + 449307919, + 284457874, + 146279027, + 818402649, + 679932333, + 432824782, + 187149426, + 984466640, + 881197194, + 62498977, + 871638480, + 152189637, + 793361722, + 876514128, + 72578044, + 60299321, + 744553331, + 376322423, + 802772736, + 903881822, + 270139825, + 728148750, + 496642480, + 235702683, + 829846084, + 362504806, + 819122937, + 136605321, + 408911094, + 679292971, + 817110185, + 279659665, + 655644079, + 983303651, + 22571127, + 232499558, + 723286524, + 594819293, + 706753, + 669012845, + 563116331, + 306625666, + 777347982, + 32653856, + 943521027, + 123128225, + 755510749, + 761196725, + 327977990, + 898041841, + 278262408, + 489718575, + 265482004, + 888405032, + 38749287, + 42953476, + 525901400, + 8319378, + 463846092, + 926140629, + 472358581, + 712784375, + 461241792, + 637042695, + 392668547, + 774435992, + 904985831, + 809379149, + 906772679, + 356921994, + 869609733, + 307633214, + 546285988, + 751173825, + 316739098, + 872224946, + 883574556, + 154141589, + 746560056, + 934826845, + 981943199, + 332897410, + 2192, + 652659492, + 626223938, + 387238229, + 437990088, + 131867652, + 562809824, + 314248031, + 367268403, + 182497570, + 196619479, + 169065008, + 99532006, + 393674437, + 156596841, + 12237272, + 810432365, + 496782445, + 219450011, + 907385917, + 440651774, + 854629510, + 649893485, + 847961502, + 335849109, + 863972479, + 366563946, + 990043228, + 452212651, + 758677191, + 179492606, + 257029103, + 680387388, + 747003452, + 551649481, + 752968972, + 500702012, + 64827185, + 317750181, + 597669587, + 793871948, + 258572069, + 611468028, + 835687165, + 795287851, + 680499159, + 642156482, + 483113001, + 751817252, + 785782371, + 779387785, + 588656163, + 195969465, + 553523677, + 191915494, + 381944650, + 992395720, + 763166702, + 330684827, + 319080506, + 356591004, + 358963387, + 417076669, + 989562486, + 666780197, + 166517154, + 68239187, + 620755772, + 797364933, + 746193157, + 753436659, + 619116506, + 262096085, + 374604715, + 235032778, + 316526106, + 675211281, + 942030934, + 580470502, + 848328200, + 801309946, + 691686581, + 468829606, + 968653378, + 821231476, + 283512738, + 910427233, + 414916605, + 673897637, + 221420052, + 174227146, + 263469889, + 828944097, + 133276303, + 145172368, + 155652747, + 604895642, + 13398295, + 52866090, + 800533100, + 66202985, + 366176115, + 239960524, + 784184848, + 727224596, + 215864718, + 464586614, + 400637718, + 278707855, + 231274670, + 493024974, + 384959339, + 327182263, + 681836722, + 1425502, + 170848405, + 852952063, + 512215945, + 524087766, + 22386812, + 241321806, + 733305400, + 85168158, + 911982138, + 938762810, + 807243527, + 960412269, + 611915491, + 580206772, + 479169536, + 773921779, + 850340623, + 863853171, + 703856303, + 104817945, + 414138279, + 356272630, + 809828861, + 225313893, + 328924744, + 138916155, + 774761638, + 20477613, + 775339590, + 2095187, + 494071825, + 681301176, + 334616950, + 861299875, + 84666172, + 255968476, + 435038569, + 963270119, + 749326859, + 803471911, + 380934107, + 518705272, + 526366651, + 612940506, + 434537501, + 869967534, + 793070789, + 628403497, + 735211557, + 801430813, + 753339326, + 634215190, + 266088866, + 627964573, + 913513334, + 353879708, + 928825037, + 48924605, + 511356261, + 38896469, + 946152284, + 589227196, + 217769624, + 524339629, + 880557584, + 973126164, + 576262072, + 621373243, + 897920455, + 801029673, + 23473871, + 885288683, + 206989449, + 953633798, + 214411392, + 65399981, + 215220662, + 674027851, + 228118843, + 675384815, + 903463287, + 315499297, + 865546196, + 771618671, + 864693478, + 903231528, + 818197229, + 524529171, + 544374741, + 759656066, + 568272127, + 938331296, + 112098492, + 2932350, + 331032221, + 834356094, + 385721137, + 346919086, + 265108169, + 89006657, + 321412806, + 780716939, + 602672244, + 141595305, + 309770166, + 316737199, + 18823443, + 580506550, + 766325813, + 372558996, + 546683400, + 701595816, + 937668533, + 134496796, + 372555898, + 500867674, + 483144886, + 173767011, + 875040205, + 933243915, + 463752814, + 990019613, + 868571030, + 821143544, + 365914968, + 513232273, + 138097226, + 931489576, + 509974540, + 42746507, + 670176996, + 159930854, + 520693754, + 177316886, + 378952239, + 835134520, + 160826833, + 33246251, + 412463466, + 616079976, + 238365215, + 806334674, + 910755643, + 638145689, + 151489829, + 575796417, + 687338838, + 545700703, + 102399534, + 789753507, + 58350680, + 442301973, + 30380040, + 187973969, + 276860293, + 10529067, + 831442762, + 630077967, + 279979080, + 317145227, + 402757723, + 448376710, + 283665824, + 250503898, + 562160239, + 699418723, + 724642398, + 830887049, + 686912263, + 821293871, + 304827466, + 858702880, + 673553952, + 263619072, + 807263426, + 435919415, + 368372407, + 59488916, + 894694580, + 322481730, + 114673702, + 697100440, + 710855958, + 970701722, + 583336373, + 220582845, + 597506983, + 982082689, + 685538597, + 575305607, + 907832241, + 402461991, + 273790957, + 854985014, + 572506407, + 125583006, + 950846781, + 914035741, + 244386812, + 639370920, + 882301012, + 70403363, + 240678140, + 116984746, + 926738015, + 499810131, + 307116070, + 581717037, + 523561535, + 533818737, + 591788665, + 123261521, + 821122230, + 204218381, + 314369989, + 749931467, + 876618459, + 852048349, + 6787268, + 112383575, + 951515500, + 828254046, + 255907460, + 701949546, + 292335717, + 738305791, + 171871042, + 344046938, + 483761272, + 899921774, + 531439472, + 512192278, + 744121463, + 273221131, + 663835209, + 283349758, + 810905617, + 668774437, + 742630923, + 951669268, + 20262547, + 954062870, + 85094508, + 304289258, + 744382570, + 237733984, + 369651623, + 631869267, + 812046294, + 841468127, + 610262965, + 169619291, + 219031916, + 749070486, + 500573983, + 509939606, + 948227668, + 418079994, + 11345757, + 55409260, + 428443074, + 825950974, + 959448611, + 285932813, + 979603257, + 231016137, + 253935485, + 202239244, + 44862852, + 621198066, + 112343872, + 340251770, + 642119138, + 317838637, + 670666472, + 243905799, + 43647893, + 296603849, + 53734137, + 790739904, + 271564605, + 153463579, + 869031470, + 386763986, + 363268245, + 182311775, + 178550421, + 562876989, + 953731866, + 174749993, + 964766427, + 351253755, + 61898172, + 232105211, + 765995997, + 82723579, + 599246905, + 813897906, + 534174540, + 238843023, + 587948238, + 55893034, + 789444599, + 691753337, + 871938673, + 8492792, + 996494073, + 331645288, + 410844443, + 842939353, + 627009904, + 434701566, + 835611615, + 208435348, + 440497456, + 227263632, + 456340127, + 620600643, + 555256227, + 935559527, + 151326051, + 513686259, + 633111404, + 952202545, + 977264058, + 601176787, + 550454344, + 165360116, + 503040520, + 966177170, + 512706441, + 838117112, + 777503711, + 41769242, + 941287258, + 887075868, + 537603585, + 841954290, + 133614728, + 639392446, + 160051215, + 324125447, + 216552251, + 206892861, + 870764285, + 439658762, + 565788743, + 277979466, + 10672797, + 710944034, + 937184274, + 504950057, + 514111568, + 560043214, + 383053697, + 611601853, + 395311310, + 915211197, + 153517563, + 414260872, + 247966997, + 743366467, + 69049348, + 693593578, + 759566784, + 625345326, + 272326369, + 890987210, + 382926800, + 929615019, + 457952276, + 797747600, + 652953311, + 818560872, + 390836666, + 725431654, + 618648367, + 279471663, + 586959178, + 294910482, + 945650237, + 420662031, + 491649396, + 752279352, + 369776382, + 854263467, + 76197636, + 339083422, + 467960341, + 959032798, + 77114530, + 659033178, + 124382220, + 542412067, + 654100584, + 463524931, + 702265410, + 453709769, + 286992157, + 947547399, + 552268277, + 77053605, + 93655879, + 934568947, + 782259001, + 550413858, + 612339465, + 102301715, + 379092377, + 751581432, + 889067106, + 351621155, + 718616573, + 173863364, + 77456891, + 112578538, + 234736818, + 817054906, + 814273416, + 589371334, + 397942708, + 671385688, + 347777130, + 862811763, + 103776448, + 214558890, + 818315771, + 705245078, + 902724873, + 768969227, + 422505972, + 585029973, + 939561420, + 549166931, + 543967578, + 901910321, + 869958186, + 525201714, + 249684770, + 254188801, + 171196413, + 515233844, + 402295930, + 364261582, + 931537296, + 613030428, + 359513031, + 214497759, + 499339645, + 419728029, + 86707024, + 152069141, + 199106446, + 839584218, + 685998841, + 494685727, + 962252604, + 843093542, + 619971564, + 558751181, + 593634291, + 32350899, + 354419374, + 384307361, + 200086528, + 874380977, + 813951655, + 835051669, + 192515333, + 322407463, + 410128619, + 621928849, + 111367893, + 759580082, + 569442893, + 414021718, + 477216891, + 705437820, + 220428195, + 637723943, + 960600264, + 660062620, + 879263824, + 785525176, + 499075495, + 991708110, + 70212211, + 543366829, + 998892058, + 658238906, + 335226321, + 255411589, + 171095638, + 35336097, + 88045685, + 516674392, + 604824830, + 282614942, + 467363071, + 937726992, + 293574475, + 740468107, + 921395707, + 102048009, + 781775711, + 817436562, + 662861176, + 680822381, + 913286867, + 868115140, + 856559913, + 936252239, + 544047844, + 807258620, + 348007488, + 630232400, + 577548559, + 918871453, + 162069086, + 462953792, + 140346420, + 760974628, + 187027244, + 143693210, + 548272498, + 998859621, + 507380742, + 264068531, + 246695758, + 700749574, + 259632007, + 911157169, + 526405378, + 753207981, + 992651451, + 162251620, + 763742336, + 453140470, + 765051969, + 95027403, + 115246976, + 554700724, + 240773467, + 666447217, + 920450966, + 339452127, + 435307216, + 684789239, + 696899235, + 406211176, + 474321440, + 686168095, + 261363031, + 140157882, + 686167015, + 401692372, + 33843209, + 854881691, + 643023522, + 461285456, + 40306365, + 538707044, + 355186258, + 141415379, + 873736472, + 552864944, + 561575598, + 582663527, + 861505696, + 483692851, + 617786289, + 33622286, + 59305863, + 185445432, + 132057046, + 83325193, + 700279367, + 248949535, + 794270548, + 633292845, + 392246441, + 627081523, + 309418022, + 440714786, + 271564458, + 139402603, + 867248507, + 51941491, + 514688719, + 369906224, + 706623176, + 252719754, + 461989536, + 668429032, + 172217529, + 414713756, + 577129402, + 144164339, + 350826227, + 188476444, + 603148629, + 595696074, + 491950060, + 176904094, + 86446972, + 380922238, + 282530120, + 762684183, + 901464170, + 314901133, + 982751785, + 645243466, + 607373047, + 130625862, + 373695176, + 985437769, + 674297946, + 454581226, + 190386942, + 166141975, + 772535195, + 740268300, + 564560496, + 777677913, + 183871958, + 868604077, + 686092057, + 396801196, + 446703630, + 495536090, + 763121335, + 889019709, + 292783739, + 673508260, + 26784746, + 531850867, + 296677124, + 750936994, + 287475424, + 34844611, + 454725016, + 992648457, + 717188185, + 996038577, + 490056308, + 119204302, + 213522976, + 647999798, + 489638342, + 170075585, + 256164762, + 426094260, + 751528684, + 927998702, + 396215993, + 718894230, + 200303980, + 738997223, + 233041063, + 869928386, + 962123845, + 202328896, + 769435799, + 172638025, + 861810940, + 84211097, + 626622989, + 190170802, + 266205836, + 810016256, + 265995887, + 849350948, + 663581160, + 353099647, + 678426999, + 664962987, + 643085040, + 25887832, + 129251781, + 355235736, + 726899051, + 944520516, + 329622253, + 358289405, + 395719534, + 656712509, + 930908775, + 878791776, + 918347047, + 941546078, + 795373863, + 179994037, + 202069273, + 273982607, + 413251591, + 402149349, + 407039272, + 997800486, + 645823083, + 609409490, + 74000274, + 501908033, + 718480230, + 789439895, + 462663407, + 985294033, + 562302668, + 859085962, + 104692311, + 810663630, + 646417821, + 325953929, + 127025698, + 355768988, + 905947346, + 143277169, + 209953702, + 177468524, + 467175525, + 377856453, + 800332147, + 281981444, + 904946709, + 921687584, + 282246627, + 281142151, + 424066820, + 683315601, + 998740707, + 98447040, + 745844050, + 19111410, + 885818644, + 593360181, + 450529245, + 523843454, + 554810586, + 916020529, + 795628593, + 655833327, + 498538488, + 205334456, + 306836339, + 232600986, + 205430942, + 272839032, + 729618383, + 109394413, + 644666313, + 750743815, + 878411744, + 27686645, + 581847396, + 238038122, + 102028393, + 835920451, + 15269968, + 505855777, + 602560490, + 641483593, + 26827159, + 108427466, + 956039161, + 508072119, + 71997470, + 440033082, + 26404842, + 957766654, + 313490725, + 846287944, + 770188802, + 730840959, + 54720803, + 919212602, + 250388658, + 106328127, + 139035218, + 992422758, + 327038616, + 401339945, + 529578197, + 294302563, + 346836174, + 644651888, + 94816095, + 849779382, + 951717157, + 967478393, + 388407598, + 454986195, + 995850207, + 448423420, + 263375322, + 332884750, + 434846221, + 552938789, + 407863623, + 286125942, + 574892709, + 347713260, + 910426646, + 173874133, + 764835097, + 776069398, + 609154922, + 991855903, + 107618076, + 629136123, + 307847007, + 710076398, + 166180463, + 132295215, + 511807681, + 925259475, + 15144988, + 595827180, + 956118659, + 457421448, + 166203219, + 172453806, + 309993096, + 648706719, + 875470141, + 123393178, + 606367504, + 301411557, + 21232050, + 471170024, + 911759285, + 538311690, + 913477377, + 276536945, + 584653063, + 431504256, + 589948931, + 929968121, + 914272500, + 674461041, + 625871554, + 985355345, + 220512656, + 656127555, + 926799244, + 351042012, + 697774226, + 455568888, + 873323637, + 22107964, + 796360945, + 383160754, + 7965890, + 4636079, + 97766141, + 199182741, + 625620074, + 959437964, + 747976098, + 968186125, + 909303072, + 922451235, + 292676973, + 489358525, + 475244730, + 276223295, + 175500938, + 986401594, + 785461472, + 702302204, + 177521210, + 738080648, + 156839724, + 323694006, + 454667, + 82688268, + 665777686, + 583646325, + 450911548, + 942038157, + 885784486, + 529519020, + 143759998, + 237787826, + 723142937, + 399932541, + 381598105, + 68932071, + 409067718, + 367972030, + 843652452, + 630818834, + 208538886, + 548742370, + 625665752, + 141164744, + 216918345, + 328715435, + 647325440, + 187471841, + 922012491, + 841947045, + 797498633, + 481945845, + 507729020, + 636881455, + 310536307, + 188347137, + 995412217, + 920616152, + 267241042, + 924676700, + 356682078, + 787542506, + 421654194, + 598596768, + 585418037, + 835714984, + 515669951, + 311327507, + 766524617, + 798783660, + 999857825, + 495995025, + 604693206, + 179066278, + 94805248, + 758649557, + 453806947, + 260316354, + 476343544, + 593943328, + 959648862, + 332920281, + 873954041, + 236776059, + 839993753, + 663967576, + 454079509, + 132631797, + 383783558, + 21474045, + 703489551, + 988816896, + 245887697, + 101112590, + 795143314, + 466929806, + 850272713, + 717600851, + 752962425, + 414648026, + 192933053, + 385061867, + 995833406, + 639520374, + 20404463, + 371949057, + 834744590, + 858149917, + 18724796, + 518922769, + 689570604, + 95738871, + 827760861, + 392519225, + 804277944, + 62006701, + 751363400, + 839853665, + 28821129, + 695163928, + 65758410, + 897498003, + 137192909, + 706062514, + 396336913, + 175332144, + 326725514, + 421460783, + 410709110, + 933654864, + 346968131, + 729740363, + 112342416, + 209813611, + 831488109, + 881117074, + 106353373, + 975587577, + 249848856, + 714344519, + 46434118, + 732584381, + 617872645, + 294267140, + 950113638, + 552897151, + 393794069, + 123953149, + 622835242, + 943734817, + 882159653, + 111782873, + 510722136, + 862207302, + 837919105, + 271729829, + 206197516, + 90227504, + 695174798, + 680799556, + 393831093, + 516037735, + 539915772, + 284516789, + 899235577, + 208359898, + 419112869, + 459972800, + 787051369, + 61234902, + 821522863, + 266996711, + 20286035, + 526426786, + 114015659, + 905902746, + 178018333, + 84719735, + 692149934, + 138193549, + 1807567, + 95759683, + 285196713, + 156237164, + 816796678, + 491360690, + 872060141, + 183696997, + 354837137, + 324939033, + 70524281, + 64893916, + 61196968, + 217390066, + 309803538, + 327981913, + 829204157, + 222229748, + 153316764, + 785717225, + 7285302, + 335434214, + 224435104, + 395044035, + 869620696, + 983474094, + 561990986, + 7138215, + 724165029, + 537359771, + 442392295, + 214472757, + 388115494, + 999724473, + 116134487, + 925708176, + 746427493, + 66439494, + 388110990, + 695779202, + 787660736, + 190107323, + 811559999, + 745417727, + 443310769, + 275424987, + 133133837, + 820291374, + 958741339, + 246153527, + 86591325, + 939988951, + 617124214, + 898061442, + 790179316, + 739813209, + 230639713, + 557133055, + 69014343, + 36224542, + 362472253, + 656301172, + 233606164, + 107307741, + 672115472, + 137033497, + 438401678, + 937910960, + 718467982, + 866662565, + 853247635, + 819192886, + 385931114, + 456696865, + 343695363, + 925106189, + 556664530, + 842187059, + 289014425, + 979935624, + 943427265, + 108276470, + 37109300, + 996374235, + 723841051, + 713359382, + 636128082, + 700513246, + 9762195, + 679089480, + 972432725, + 59538558, + 60141790, + 197446722, + 475606973, + 207152394, + 949822816, + 667573484, + 554375829, + 805701045, + 52118162, + 573417072, + 38618014, + 379452772, + 734815007, + 279448974, + 165855178, + 837684185, + 303266367, + 42775691, + 170054897, + 152941720, + 376346090, + 80027775, + 196385699, + 666741353, + 279200277, + 598319876, + 565951881, + 223948077, + 829086261, + 404416220, + 765857935, + 32132946, + 773944329, + 323122800, + 11380158, + 700999829, + 843122284, + 284109052, + 500783639, + 986258308, + 935535923, + 125641497, + 843022069, + 438289011, + 231629648, + 520124168, + 131854516, + 889483637, + 547741461, + 321354783, + 590548256, + 408219947, + 374068408, + 833897018, + 905627122, + 322048739, + 980087652, + 964141892, + 249046734, + 355599006, + 84387793, + 582727503, + 239545611, + 676180110, + 74197874, + 568227380, + 944415316, + 395492152, + 496507001, + 384407231, + 903594842, + 93861193, + 863718595, + 245393920, + 390032449, + 220461144, + 237393608, + 498814221, + 415326199, + 870627747, + 348157175, + 452381582, + 275898195, + 245829230, + 395004048, + 238412407, + 756000476, + 799618515, + 294766621, + 653924366, + 772578689, + 217194004, + 13383335, + 323679355, + 504209077, + 924360425, + 135691753, + 86745224, + 426518058, + 469233839, + 510890765, + 747589077, + 282204965, + 929404088, + 636660454, + 388671559, + 780383597, + 410164735, + 561408191, + 338050992, + 738720900, + 839907255, + 670353704, + 971951235, + 994241537, + 388133760, + 413989946, + 323116881, + 580993974, + 25522031, + 619596265, + 318094310, + 194066677, + 510414573, + 723471813, + 92026411, + 364369465, + 998196257, + 286942023, + 417151157, + 565231353, + 709548719, + 85073614, + 113466139, + 843769458, + 654957516, + 826079091, + 226407387, + 915118241, + 808155449, + 103804189, + 212188916, + 488368294, + 348073490, + 586046913, + 833754902, + 130789335, + 159722771, + 537679333, + 347911397, + 941887342, + 886559423, + 462310055, + 218746555, + 317818072, + 162731075, + 585011230, + 212891590, + 89999079, + 627688822, + 99201727, + 533174107, + 236405564, + 941961201, + 526654575, + 232547817, + 733145787, + 960574151, + 212417309, + 41626117, + 442141825, + 106251091, + 471526052, + 290923897, + 843313749, + 30797354, + 4809073, + 565104219, + 16440097, + 701508143, + 295751425, + 679202763, + 868158005, + 564537667, + 948841054, + 881260394, + 766290540, + 11877525, + 626151846, + 599497681, + 604976512, + 16158726, + 932435433, + 563793216, + 166588512, + 220711642, + 182313362, + 932806038, + 948741966, + 514240338, + 56127881, + 483537474, + 920437154, + 457815376, + 33219577, + 831050238, + 451738277, + 486789041, + 28341652, + 548599215, + 256184762, + 688898843, + 766956195, + 603771139, + 781991718, + 632924959, + 900128067, + 155680449, + 860135633, + 491145985, + 757838692, + 130353361, + 911118752, + 446989264, + 604834023, + 405048958, + 521529631, + 83745171, + 197353357, + 756209742, + 130616944, + 989172992, + 636866871, + 241333350, + 633921845, + 54039164, + 702823451, + 304801770, + 704209457, + 392353135, + 456796204, + 920665001, + 54635940, + 475877781, + 574356206, + 887152622, + 497741448, + 172846328, + 996337564, + 496784157, + 992776146, + 774773305, + 245802426, + 424931427, + 681676830, + 556994026, + 167411230, + 470797333, + 758489785, + 750526101, + 786197582, + 597309187, + 504526964, + 8671467, + 23352691, + 259810451, + 781155488, + 558397011, + 862411692, + 761103380, + 877706060, + 762078887, + 868157366, + 949932214, + 58952586, + 375625154, + 316169613, + 766310089, + 873718677, + 63574937, + 723738531, + 766010913, + 255660332, + 668893637, + 958316218, + 422557891, + 988679660, + 454334828, + 267919892, + 200520728, + 885078132, + 275448207, + 148544634, + 140121798, + 341414418, + 832664314, + 233224135, + 333976464, + 698067226, + 855006806, + 840885633, + 343344781, + 493507943, + 909182849, + 373882003, + 132689307, + 889316637, + 394966380, + 87683304, + 639006233, + 636737581, + 381648955, + 434811206, + 341341450, + 517227108, + 332592976, + 621581375, + 147467541, + 375198408, + 265382654, + 881133095, + 55958149, + 55528482, + 240782512, + 195961042, + 508744491, + 670326622, + 349887885, + 699892222, + 76115330, + 716658120, + 931988425, + 203111270, + 957621881, + 850792822, + 690363446, + 727887423, + 788372688, + 551675848, + 7490140, + 378795091, + 207716683, + 777135204, + 214787207, + 390293836, + 539447117, + 472749299, + 495565626, + 122014613, + 377679720, + 61316255, + 971106655, + 442328801, + 134855299, + 59144822, + 11591070, + 458031404, + 679628737, + 881979320, + 948203981, + 109821190, + 133386303, + 162204191, + 886207836, + 428164456, + 582889994, + 369724994, + 959418687, + 756309747, + 874394586, + 409049194, + 744385532, + 278195774, + 166177573, + 841648920, + 965120577, + 444912549, + 709017102, + 239078967, + 912449961, + 295180561, + 335254010, + 776554113, + 124120981, + 530049611, + 26643368, + 32945773, + 166066492, + 123378855, + 454477025, + 420725788, + 525057445, + 310175161, + 493093700, + 382996171, + 122385563, + 226927649, + 831373620, + 156248560, + 462675930, + 262829716, + 5935627, + 888163668, + 713507206, + 8986278, + 118927471, + 773147951, + 306885039, + 734202050, + 709867921, + 797477260, + 696278355, + 749019792, + 633303419, + 42997885, + 303982469, + 442995272, + 893197299, + 909642011, + 576478351, + 645157265, + 984475116, + 980047663, + 738136709, + 193569505, + 953490128, + 496633540, + 966373333, + 570469921, + 528698806, + 40725479, + 772576359, + 846855922, + 755465888, + 128372565, + 927340119, + 671731828, + 211143696, + 948582214, + 60207593, + 478378139, + 964879962, + 832429964, + 67225441, + 433276051, + 611895020, + 309039068, + 297082442, + 73835777, + 329334192, + 542586901, + 265468861, + 887258291, + 191832647, + 643018676, + 859547521, + 505247833, + 61414050, + 894904361, + 305444113, + 746228761, + 364225994, + 448600595, + 17912070, + 446492818, + 88940650, + 438043331, + 600358245, + 198912011, + 824114323, + 380919646, + 111909036, + 980712431, + 143763923, + 66540388, + 91597656, + 873215480, + 187074040, + 215883299, + 874264350, + 39685043, + 815838587, + 356722824, + 66647109, + 986271674, + 114254662, + 736392323, + 195293704, + 931358832, + 643049545, + 442727268, + 322942283, + 622183858, + 611536694, + 141575338, + 650782768, + 146605631, + 107644958, + 153116874, + 75857484, + 183518406, + 434150301, + 963273499, + 604962360, + 864625186, + 940417183, + 291733588, + 813849297, + 592422106, + 127538183, + 535298159, + 767861471, + 253074349, + 79965695, + 740884808, + 1534787, + 473541126, + 922277117, + 323773930, + 375366967, + 269001456, + 505461412, + 633464987, + 994684633, + 235940757, + 83258183, + 380609367, + 581641814, + 407437963, + 955085238, + 529082049, + 464190844, + 600031502, + 922478591, + 542476006, + 934990743, + 604687854, + 724576189, + 907111560, + 328876963, + 157288400, + 579060805, + 997166061, + 836747364, + 973163095, + 848862673, + 77351233, + 991701225, + 864764207, + 636146409, + 674944220, + 108342325, + 727576231, + 119647541, + 20496844, + 694512349, + 109142555, + 610271699, + 22973529, + 663023945, + 682846684, + 83501717, + 674960792, + 875467258, + 318087805, + 818576359, + 256625992, + 559206721, + 287224148, + 175269848, + 132872895, + 318884026, + 207310888, + 640310423, + 280321437, + 943574242, + 142031719, + 90953374, + 360438406, + 41948168, + 476667208, + 424692316, + 662574215, + 27586630, + 680858420, + 165601698, + 916291672, + 773987947, + 144382763, + 1814363, + 226572045, + 981695768, + 268798143, + 469638341, + 414251809, + 564695733, + 261405281, + 455787290, + 414489201, + 999832789, + 232617751, + 861562109, + 49464690, + 975169353, + 150979571, + 332954308, + 804879221, + 912102871, + 527994444, + 14450550, + 763885657, + 276570292, + 760359790, + 976893891, + 368053884, + 651327583, + 32902893, + 550667476, + 245929523, + 661512280, + 804622309, + 387411803, + 614965002, + 163346087, + 965305930, + 99833236, + 287755895, + 513469571, + 289752386, + 185748142, + 112001107, + 203321793, + 78710807, + 83957557, + 581153965, + 197551229, + 933929550, + 288710366, + 761855704, + 331692240, + 473228512, + 31055618, + 184407192, + 454582832, + 661493019, + 966524315, + 571026418, + 191097431, + 426905012, + 591198668, + 23137431, + 186610065, + 775801462, + 483966563, + 955206559, + 72602673, + 31734347, + 784674414, + 400215839, + 219237124, + 320193951, + 98727393, + 224802913, + 996394984, + 205714840, + 811674906, + 590599948, + 790447070, + 434630805, + 832198624, + 894326911, + 568068253, + 282374654, + 322266700, + 816916734, + 329349495, + 712051012, + 808215169, + 979693290, + 922551960, + 70485566, + 292882480, + 578087326, + 200858330, + 986934769, + 410636874, + 691302600, + 47749011, + 444535028, + 116662367, + 187922641, + 828435865, + 526308705, + 149794426, + 442336805, + 92965073, + 932783805, + 608168555, + 111866713, + 903701308, + 521518008, + 976577753, + 934809850, + 27718368, + 67399575, + 918984147, + 804921926, + 405018451, + 266079656, + 831346722, + 804215915, + 885642590, + 439383863, + 601959350, + 717673691, + 818138764, + 124127420, + 864137427, + 665564234, + 455814392, + 114849361, + 46680929, + 712366270, + 721588150, + 794861795, + 3110019, + 871035123, + 103242621, + 390273494, + 962899677, + 966635571, + 477860706, + 274391779, + 904083140, + 521461063, + 835471615, + 84205978, + 243031241, + 552085600, + 275824953, + 909612714, + 583979588, + 536026716, + 401162418, + 543956390, + 368491600, + 536161719, + 532609341, + 23003177, + 310552126, + 644957379, + 612775394, + 445649883, + 101258233, + 414565589, + 870353690, + 364170210, + 739121881, + 102351382, + 646464715, + 26491965, + 551682967, + 387689260, + 251043322, + 494013141, + 600887365, + 392790596, + 811436965, + 927707095, + 825586838, + 121597225, + 762285302, + 159161105, + 368813546, + 830098034, + 840822205, + 801314624, + 442966993, + 360721591, + 222273493, + 475571825, + 187921539, + 281795729, + 379829955, + 66262756, + 464916183, + 807838543, + 272683609, + 228037003, + 292883618, + 847110673, + 901758822, + 343658570, + 212062564, + 332717421, + 750171688, + 869999775, + 910869767, + 114708012, + 182342441, + 439727226, + 87532016, + 938871142, + 17529474, + 641978364, + 950543063, + 219632234, + 366091495, + 968356273, + 167196627, + 954856955, + 44353608, + 276535612, + 447931109, + 732256676, + 322071904, + 289652247, + 709260606, + 352775662, + 417870200, + 277859878, + 160973028, + 72984242, + 915756583, + 313687691, + 565942062, + 698050295, + 788917654, + 886894, + 305755423, + 773010406, + 711843854, + 213564740, + 152945457, + 791411500, + 144888169, + 717223627, + 996221599, + 914615146, + 394247068, + 588334525, + 727514232, + 335638671, + 718762664, + 687437263, + 505434324, + 589826817, + 512126774, + 294388123, + 275361302, + 177738350, + 244448070, + 974029754, + 497233585, + 365655350, + 325557834, + 392427350, + 617532977, + 876153834, + 7693362, + 804195076, + 812803882, + 381207856, + 780815611, + 218630886, + 389205300, + 992378205, + 586061580, + 783767908, + 800894364, + 280524780, + 764660560, + 914608629, + 642755538, + 437623905, + 469644366, + 382121265, + 251731731, + 780833262, + 594798329, + 726599515, + 53598904, + 479655090, + 832345153, + 322299657, + 295458538, + 894164289, + 586536163, + 732464109, + 426276702, + 803795343, + 318870512, + 60576151, + 942717610, + 59216417, + 745474258, + 184788379, + 626289032, + 453321622, + 279130706, + 458533018, + 114337202, + 286385260, + 703655774, + 915502170, + 399081800, + 402312130, + 77020477, + 682075194, + 278319045, + 156383047, + 533506942, + 190579167, + 87695098, + 972341161, + 680241870, + 143737869, + 912235734, + 891501675, + 449034161, + 7785703, + 33434248, + 366256842, + 761113035, + 935162892, + 684258246, + 988025223, + 465073303, + 430923676, + 4361860, + 982098602, + 348349652, + 878149152, + 860932969, + 698064495, + 929972070, + 319991446, + 412639903, + 739199620, + 360259009, + 650628168, + 472558559, + 15217078, + 741855792, + 24034456, + 638612244, + 361964367, + 724091572, + 264035740, + 100952375, + 878034009, + 775946372, + 231748957, + 270775771, + 344907948, + 638427792, + 402065596, + 263055727, + 185652292, + 941174875, + 945510249, + 798762608, + 520910427, + 980017213, + 154892626, + 177602516, + 796814040, + 394177847, + 678481320, + 991974266, + 650712705, + 187801337, + 820952483, + 986711563, + 804125675, + 944704410, + 565772990, + 45216334, + 466192275, + 254724170, + 745304066, + 317075074, + 132045017, + 632896197, + 761020612, + 257893050, + 782173625, + 819605033, + 229854253, + 371860097, + 847093980, + 634603542, + 665427130, + 452772827, + 637865551, + 454164540, + 199418230, + 607524158, + 778674829, + 258401320, + 117647831, + 847516299, + 206297633, + 527316, + 518886740, + 428318114, + 496762990, + 654243480, + 547767790, + 752157424, + 596640024, + 61739824, + 402472639, + 434888543, + 803044433, + 511225578, + 648403797, + 736299009, + 164551166, + 781751985, + 524519078, + 538199930, + 908383891, + 417018186, + 82183898, + 439950352, + 465528022, + 565614119, + 947377413, + 868395879, + 352417487, + 708709166, + 268829646, + 543953486, + 737735438, + 616917266, + 777550458, + 7891068, + 410788506, + 245518316, + 777171815, + 671771661, + 54396752, + 827342737, + 359892730, + 278529136, + 139657064, + 745069332, + 824875969, + 903579425, + 991015663, + 816145484, + 667095761, + 788492800, + 132846254, + 969788393, + 366213225, + 565773039, + 490382150, + 643977148, + 452671389, + 957160043, + 67914762, + 697061532, + 439180079, + 1093016, + 704337507, + 230840616, + 444667249, + 655071365, + 69148956, + 826279507, + 206710919, + 83432490, + 656870957, + 49202723, + 489365879, + 81269722, + 141516809, + 740317230, + 812932598, + 558015072, + 634628979, + 639214261, + 470994722, + 915826969, + 798821458, + 648633715, + 918431034, + 954522104, + 516241238, + 313086531, + 478628204, + 51839316, + 492538785, + 529683302, + 470147891, + 391116515, + 463380486, + 765265856, + 723238424, + 198656608, + 621218197, + 656297582, + 462592483, + 676587632, + 107108345, + 774011924, + 112314398, + 8012842, + 896820212, + 796336824, + 855674853, + 86125417, + 494770094, + 450197020, + 258910753, + 356135520, + 35578131, + 14376996, + 637432305, + 702312875, + 215210383, + 706237293, + 529675477, + 206472324, + 916200417, + 977602457, + 774149110, + 636244885, + 20572841, + 292492553, + 423421707, + 921105438, + 427873793, + 219452344, + 94927427, + 570885189, + 147634874, + 592455156, + 808197973, + 506350095, + 787396941, + 674985129, + 452826257, + 75036949, + 926608674, + 935953347, + 608385588, + 975175535, + 244862213, + 867668438, + 822001274, + 774022828, + 796360442, + 716273198, + 748077008, + 611096698, + 454204652, + 837179445, + 907651202, + 673639363, + 116631291, + 386829604, + 254279125, + 570870542, + 4224398, + 59835991, + 387085221, + 543728229, + 746335467, + 452560185, + 299053886, + 656605830, + 912106432, + 926744567, + 898991241, + 601221363, + 459112304, + 681432953, + 612703462, + 777077656, + 3025329, + 292123731, + 629528756, + 257889372, + 448214476, + 789925417, + 769996829, + 536958327, + 769838285, + 42283370, + 883636488, + 739985453, + 693655513, + 489583078, + 268171979, + 457615698, + 736130539, + 404295568, + 55209742, + 786631540, + 934902981, + 750531383, + 873249701, + 371530919, + 438258864, + 897337729, + 131491615, + 718595987, + 549615318, + 588289048, + 593107851, + 38826345, + 881363435, + 477060384, + 321332439, + 570258069, + 694353561, + 286165434, + 438492801, + 709076661, + 622509237, + 564633377, + 991702621, + 253154502, + 381965881, + 679356886, + 343598834, + 19719083, + 89210198, + 161050193, + 111056881, + 412249174, + 650289921, + 555955879, + 329562104, + 951625977, + 670371235, + 570657081, + 415729291, + 696582178, + 345276912, + 764414712, + 412828278, + 983619025, + 45799396, + 500024509, + 751880393, + 664882192, + 855774950, + 980574954, + 47403979, + 68234020, + 657824458, + 131306824, + 177355960, + 483079993, + 264515771, + 513053474, + 81935744, + 247690484, + 857395693, + 692282775, + 132259121, + 275257634, + 66022173, + 181068379, + 733444945, + 762166399, + 934262831, + 379098734, + 658659318, + 566587875, + 76819664, + 922526411, + 166945768, + 713959006, + 640673010, + 787436587, + 425689505, + 41350709, + 40809980, + 143007079, + 795909367, + 159291253, + 387572907, + 54407739, + 551761083, + 766783761, + 576930027, + 180043345, + 387761643, + 713366539, + 772160373, + 77077576, + 519727922, + 427492805, + 528034230, + 21279411, + 145127917, + 628410377, + 546309572, + 546790147, + 744428253, + 903104601, + 169458864, + 236141611, + 847513525, + 729165146, + 394754308, + 685673703, + 964666006, + 300289735, + 907730804, + 944535392, + 592767041, + 503787752, + 361616056, + 514488249, + 440700483, + 936304405, + 901875157, + 860973341, + 338594326, + 397489613, + 457092813, + 125861098, + 53762492, + 361799567, + 36611708, + 926598867, + 249341000, + 644707234, + 165591954, + 78111101, + 494716750, + 248484253, + 32635973, + 229064045, + 362544105, + 392447507, + 410694230, + 636076547, + 848352306, + 776951753, + 4423650, + 550349799, + 572219665, + 423011144, + 882503798, + 598551932, + 627299490, + 609869987, + 631643391, + 799939393, + 481998230, + 940786620, + 643040240, + 901440264, + 576071348, + 956596515, + 855187569, + 175344891, + 816746713, + 410175782, + 105388097, + 849433004, + 978728952, + 419341271, + 988554511, + 923608802, + 62972803, + 78981882, + 224793511, + 41173183, + 132715077, + 545946646, + 992302772, + 312111314, + 96647931, + 879285335, + 470866068, + 472227839, + 634208006, + 364216086, + 845969337, + 85774940, + 612455959, + 651322367, + 82398401, + 318825898, + 689819754, + 202712002, + 812855671, + 531340927, + 500283006, + 524288160, + 619881087, + 245922835, + 860893569, + 440234490, + 700456595, + 778126889, + 227217215, + 289054995, + 631683847, + 461627534, + 834095483, + 191088531, + 900098811, + 64374128, + 79017279, + 567492717, + 667333874, + 75927726, + 882703130, + 653608433, + 203245054, + 248569914, + 860565551, + 449226165, + 402964569, + 506085069, + 34662553, + 325988739, + 8074480, + 708216356, + 910954960, + 371900417, + 918607079, + 276546114, + 936244195, + 596763749, + 384511805, + 992951978, + 412963820, + 723001015, + 780583209, + 383408740, + 815079569, + 951280831, + 631656358, + 74302029, + 970120280, + 244187901, + 269198107, + 570090435, + 814022594, + 955772265, + 898839077, + 412439783, + 659272495, + 891863297, + 810105771, + 231919786, + 792089459, + 524138679, + 784219523, + 666130284, + 303310442, + 878017574, + 552283481, + 537304401, + 395718219, + 648110750, + 474172996, + 216558093, + 551212054, + 906989464, + 681696048, + 496583395, + 13014889, + 460577570, + 517703201, + 21793957, + 61403556, + 722885363, + 642995281, + 889700493, + 181210985, + 634085056, + 18171155, + 679004411, + 115795981, + 597542580, + 617667594, + 209993656, + 672003746, + 393606560, + 609515466, + 204529604, + 795260339, + 440162325, + 725269933, + 29206980, + 818786002, + 804852299, + 347150475, + 26875881, + 668410949, + 842328308, + 265026531, + 765158372, + 101705145, + 716111015, + 468176773, + 727440806, + 220401855, + 593237273, + 229490791, + 448967071, + 268212830, + 953499890, + 430900749, + 569085284, + 198872094, + 567921270, + 828051365, + 88189574, + 241850884, + 352219989, + 526565988, + 492105785, + 289925728, + 909340542, + 450463698, + 687450878, + 81473198, + 973553328, + 485448871, + 753662175, + 476071443, + 73550588, + 577654007, + 163321700, + 85315822, + 745429451, + 765206800, + 939827772, + 875963481, + 743263350, + 293817491, + 630182081, + 496827089, + 817321585, + 145171851, + 697521600, + 239509419, + 155231912, + 280580260, + 697567793, + 136609723, + 120695596, + 432981589, + 750490258, + 334026853, + 484256240, + 855800664, + 849656113, + 680835466, + 530102635, + 334336154, + 519976095, + 487584884, + 500414262, + 773525893, + 263516442, + 219474183, + 907111604, + 332537952, + 433959397, + 525813637, + 645865700, + 966845350, + 889170495, + 330797924, + 835371408, + 404626641, + 334938854, + 301780476, + 314704877, + 5927504, + 828120981, + 625871976, + 612724185, + 465268710, + 139857856, + 423949188, + 250263767, + 269162447, + 133973142, + 436353933, + 945531027, + 420548688, + 481668853, + 233084409, + 419844797, + 324686364, + 823700817, + 28684202, + 826674160, + 237148702, + 327044276, + 413174733, + 514506882, + 22544627, + 293574881, + 199812281, + 244627027, + 108618091, + 508367116, + 533877532, + 698929438, + 872658180, + 309226868, + 858572015, + 455833626, + 311822059, + 778007344, + 615373837, + 657285052, + 422671164, + 102165814, + 672993253, + 296552528, + 984561714, + 396570635, + 259412694, + 262958464, + 557750676, + 743756848, + 385070208, + 357139391, + 812415756, + 776235466, + 524368647, + 276404479, + 537683230, + 729322750, + 102160572, + 586819620, + 411324656, + 884262427, + 332909809, + 600814843, + 948990041, + 399818652, + 542112665, + 187197822, + 597252619, + 600125853, + 637647506, + 544526832, + 830127995, + 617658269, + 786681117, + 565577862, + 396826486, + 153470554, + 751416426, + 508343683, + 666794332, + 608513467, + 218849866, + 496278583, + 793184317, + 644492316, + 448446237, + 64541586, + 280767354, + 393587597, + 900358101, + 576199471, + 392539489, + 168128812, + 802159795, + 545613990, + 822456303, + 431787134, + 415304249, + 792678869, + 65677500, + 274923574, + 730533137, + 139541209, + 94516175, + 762927462, + 36897881, + 799724385, + 417610070, + 779674174, + 638302105, + 939603468, + 506277941, + 546412843, + 225684, + 42997503, + 369092994, + 463914790, + 378041206, + 986977370, + 435220144, + 937748452, + 147381396, + 527275705, + 963863390, + 838770262, + 809699519, + 146215117, + 296210905, + 916398315, + 381406954, + 385221087, + 459317093, + 170230458, + 986238765, + 699049128, + 292431221, + 141530404, + 117797892, + 455525345, + 256555399, + 666467778, + 939499067, + 420691638, + 115690183, + 857397295, + 369201016, + 280257691, + 707679067, + 694182194, + 815489247, + 630024650, + 62491526, + 610661671, + 468625537, + 332972997, + 33361760, + 720944887, + 685630975, + 499966768, + 165062098, + 9563415, + 114981388, + 596289114, + 564174217, + 414592399, + 732164890, + 330546863, + 792598267, + 449352001, + 480865981, + 596376355, + 639951600, + 209817480, + 283395779, + 822266252, + 54748003, + 45690187, + 122109637, + 505823800, + 326151015, + 358400737, + 73837174, + 13972919, + 766876242, + 230631016, + 867984102, + 437242560, + 221817281, + 775566548, + 221746374, + 392979889, + 455297600, + 23626541, + 271776741, + 34500403, + 282087630, + 360462656, + 706737466, + 945863947, + 841967608, + 564662504, + 516315910, + 335102676, + 252632236, + 988450464, + 919398147, + 85119231, + 606268843, + 100268214, + 620747724, + 178919376, + 726707942, + 496613764, + 745024029, + 261992530, + 253570057, + 858132387, + 472472174, + 593728303, + 327914959, + 216421901, + 446648858, + 534878636, + 665058392, + 880813853, + 299486483, + 189203199, + 858295416, + 528657051, + 629022081, + 163486619, + 622365914, + 350852143, + 751009730, + 249753455, + 748433547, + 218120833, + 507180868, + 911115211, + 59841376, + 238744901, + 249649260, + 780568740, + 707527508, + 781476183, + 110377533, + 748826752, + 716492568, + 56528514, + 902289048, + 861299606, + 883470205, + 488340975, + 151569517, + 265660145, + 679638041, + 231951854, + 995181716, + 874497547, + 191189755, + 300166038, + 552245348, + 751360289, + 457106583, + 848878418, + 798734896, + 210231026, + 932806680, + 275253516, + 132707267, + 650354000, + 545375181, + 111842069, + 514933207, + 506736283, + 763012410, + 166500160, + 467255815, + 835728024, + 886337719, + 7423584, + 401404087, + 348995925, + 906530252, + 27329724, + 195431881, + 602829403, + 708200851, + 756557429, + 836582872, + 463807339, + 848898327, + 708674549, + 344406822, + 726560471, + 201707459, + 424898550, + 243058951, + 347398986, + 990640001, + 43278402, + 304626730, + 125029228, + 761461403, + 296500759, + 556557819, + 234854864, + 738380400, + 615538704, + 55973811, + 909351836, + 108913710, + 129457895, + 69389340, + 239606469, + 470665490, + 89105499, + 589333495, + 585279497, + 553119914, + 577779882, + 412885735, + 337363130, + 344684352, + 500356824, + 761192668, + 227675827, + 548908931, + 339834126, + 191689423, + 23255804, + 25899994, + 305323570, + 80355921, + 346507605, + 125949268, + 483219314, + 533612708, + 538098365, + 374500291, + 55074958, + 504839840, + 104891452, + 194243473, + 358666429, + 661037675, + 300094280, + 49545714, + 54786773, + 32279794, + 543919390, + 818805324, + 311068533, + 886108551, + 66793683, + 927911011, + 198981426, + 643826860, + 556078974, + 540408232, + 715531942, + 152341837, + 936043466, + 816991944, + 892278862, + 435558112, + 352193230, + 155808563, + 223923779, + 183466745, + 46962780, + 378469678, + 563368937, + 981012759, + 758061531, + 316354699, + 876198285, + 363050383, + 410625862, + 749888536, + 63226210, + 196556368, + 90784624, + 481776393, + 707634356, + 733861093, + 378216077, + 747026400, + 360437925, + 370998997, + 937363520, + 512403871, + 764800668, + 31295508, + 415414821, + 499087662, + 667897864, + 837728252, + 898924818, + 492976663, + 41623519, + 699884705, + 946894626, + 378252855, + 32850173, + 427961728, + 801113015, + 29142557, + 875833946, + 916800261, + 826524401, + 507335150, + 30272771, + 250348252, + 231974665, + 50347644, + 43200134, + 909235590, + 959656527, + 734310847, + 395571189, + 251705795, + 45163187, + 666680456, + 635392353, + 190943831, + 659985807, + 597256047, + 89384145, + 526899415, + 961156890, + 853963877, + 437021427, + 843492168, + 906872321, + 684812699, + 84793550, + 876585623, + 309615500, + 181578226, + 202684043, + 608297473, + 977007229, + 766896331, + 280330534, + 863059731, + 38329256, + 465286939, + 872683566, + 213855020, + 256429573, + 640624282, + 820067827, + 847017955, + 276034649, + 7201311, + 500648246, + 438603590, + 258331170, + 372678923, + 25133011, + 903168859, + 597308779, + 158230717, + 865964699, + 981453012, + 286857750, + 443247972, + 11790168, + 188720686, + 547172030, + 376363023, + 609683144, + 428614632, + 915373570, + 509018488, + 191937709, + 123045756, + 861212877, + 16877136, + 97699742, + 502840819, + 879212773, + 382957991, + 289983146, + 719564206, + 46779625, + 891853354, + 237707400, + 801278201, + 92257839, + 250923060, + 297390723, + 279796271, + 247244642, + 371503988, + 872486430, + 964203989, + 409092985, + 226029674, + 487283298, + 914850196, + 96008465, + 319668324, + 4695367, + 775160292, + 791521060, + 955942438, + 692409700, + 485512970, + 657696622, + 661281474, + 401892499, + 842317887, + 216456950, + 792752416, + 79451270, + 922131916, + 294839334, + 234141295, + 852951179, + 926568728, + 579911190, + 28620941, + 182976160, + 158976315, + 866936130, + 848260973, + 341740042, + 788480180, + 332009487, + 738572978, + 651410322, + 442842075, + 670243602, + 447884846, + 390114538, + 21452290, + 232503372, + 351034677, + 353038149, + 932544268, + 569157823, + 397415061, + 609426261, + 138432648, + 202767729, + 661814990, + 956335343, + 126843779, + 384440535, + 505571778, + 980226854, + 205448200, + 866311079, + 785063764, + 487443575, + 775721175, + 658150361, + 958999301, + 581709113, + 508925001, + 867836012, + 250251595, + 303403046, + 558275857, + 540537670, + 519339405, + 888782612, + 849827258, + 374396963, + 44165798, + 591719875, + 402343329, + 24350016, + 190836097, + 380364073, + 498561891, + 274091866, + 800216719, + 987961989, + 497901878, + 43461330, + 700290446, + 440892929, + 546356396, + 651446615, + 160899048, + 829343559, + 116293616, + 309843921, + 102442901, + 439391982, + 237783462, + 503943874, + 898365646, + 125014035, + 606192718, + 434723858, + 375290967, + 125876818, + 507276353, + 5830030, + 114251510, + 447579051, + 475349555, + 277690344, + 913194321, + 781810767, + 459054424, + 327542948, + 780086815, + 205600525, + 810446607, + 173832714, + 558593781, + 527565107, + 606743237, + 323302728, + 979134514, + 499936823, + 663322998, + 974851249, + 107490351, + 439936812, + 586355137, + 329663100, + 401748901, + 524960854, + 245283367, + 504492821, + 162422113, + 331099537, + 689126379, + 937382179, + 102392915, + 177825665, + 763423223, + 409488099, + 315306249, + 906615556, + 282474948, + 677353915, + 415943106, + 557791799, + 305745405, + 421455224, + 454508527, + 940299741, + 183998628, + 727705724, + 925110103, + 894307173, + 363647427, + 713012420, + 22532035, + 660284583, + 11828639, + 530583137, + 955063017, + 781430665, + 944008165, + 276296892, + 458495592, + 888227965, + 931519294, + 696994189, + 413990725, + 383339020, + 768207525, + 352984195, + 537296036, + 383944913, + 858381101, + 699690328, + 905103450, + 439535625, + 658405217, + 720202498, + 601398566, + 704596860, + 369863420, + 663730969, + 278214691, + 55641729, + 698693068, + 486794840, + 130481722, + 634621766, + 379166910, + 332971774, + 159388572, + 251167744, + 561464420, + 991181935, + 178262956, + 825929209, + 462210031, + 864755480, + 712185089, + 153997407, + 786524845, + 35889050, + 259124198, + 119710533, + 904017084, + 100425467, + 155269054, + 867768801, + 579753659, + 842290148, + 186742776, + 418921551, + 211185016, + 213742917, + 155781881, + 501537961, + 222663062, + 148661954, + 890698166, + 356966631, + 614378593, + 471968853, + 843996490, + 572924322, + 24613238, + 124081443, + 142313821, + 979119853, + 688899150, + 564091061, + 545766764, + 213765954, + 612614550, + 867898770, + 992944106, + 373847244, + 459726042, + 907544974, + 149815555, + 19133910, + 691260535, + 244327437, + 170322599, + 166687243, + 884283747, + 882934687, + 428267603, + 524775519, + 190312233, + 19892236, + 976144914, + 24096898, + 606679946, + 343277347, + 522368157, + 181783325, + 545237035, + 937638705, + 338068696, + 42304124, + 900164247, + 180492934, + 63039260, + 907008506, + 362179153, + 177662829, + 245446151, + 344263710, + 918698183, + 795666921, + 789205924, + 486910270, + 501544911, + 558021472, + 646484670, + 357458234, + 255909001, + 170520381, + 556054427, + 471524195, + 17214972, + 69367764, + 848063147, + 327541364, + 595392862, + 875714342, + 903113896, + 382921395, + 716097696, + 711586273, + 267967551, + 452344407, + 880009039, + 28783344, + 779242954, + 77060562, + 481086139, + 360343136, + 108177268, + 8598763, + 40848594, + 809123497, + 797113363, + 13979441, + 483339819, + 896058347, + 598988857, + 919954268, + 296635520, + 107557249, + 119505943, + 812365724, + 835542344, + 678522088, + 2743322, + 626232930, + 936205306, + 246546919, + 553078520, + 334172963, + 545105537, + 484990099, + 473636279, + 996426651, + 606617284, + 113556733, + 498837594, + 826832860, + 953247659, + 657337620, + 741533252, + 739149436, + 811481603, + 495831105, + 805543385, + 246516753, + 387285761, + 792205130, + 188466744, + 925734281, + 97103027, + 990239510, + 68588072, + 926506843, + 293751142, + 20877978, + 248092379, + 818957877, + 752459570, + 894149980, + 697924344, + 518227142, + 182171690, + 123134231, + 897644960, + 780350760, + 911436156, + 541502543, + 503251539, + 331489145, + 746339985, + 302925112, + 384782831, + 929827443, + 710478850, + 174099936, + 628776506, + 754185193, + 644809381, + 344637037, + 365139008, + 918250829, + 890138354, + 347251138, + 659973668, + 906714914, + 87830316, + 806369729, + 579738007, + 828415710, + 905860092, + 337866453, + 949482296, + 946507105, + 124298559, + 357098308, + 851734768, + 562645173, + 527817579, + 957662326, + 710678666, + 35029286, + 141192566, + 379756881, + 315311457, + 734890957, + 620019330, + 420995922, + 363281371, + 553313209, + 582770718, + 123173546, + 776433211, + 248627708, + 935908452, + 889157617, + 767195579, + 212855103, + 982150151, + 424306659, + 148567917, + 706111525, + 613721683, + 831533695, + 811482223, + 365507720, + 737834911, + 840967903, + 588731867, + 864415759, + 720731220, + 189144708, + 258581450, + 726794634, + 845556913, + 946594141, + 225275837, + 145432171, + 302436733, + 555236481, + 21427587, + 587896816, + 183172551, + 348751876, + 980253513, + 640104576, + 445012454, + 617926677, + 769443484, + 207457127, + 459391019, + 587884413, + 987216028, + 116096532, + 352920058, + 927875340, + 763865983, + 228297117, + 196880980, + 503959725, + 976331708, + 936634556, + 234997151, + 658918949, + 241118641, + 752349768, + 321775034, + 475928318, + 625386233, + 626447830, + 270016662, + 878030359, + 696947796, + 38522765, + 300421187, + 838257225, + 431346489, + 348004130, + 797291521, + 420351692, + 912378372, + 531937948, + 2904073, + 548202614, + 198769456, + 844684035, + 633245563, + 160486554, + 165546420, + 786075947, + 173909195, + 896905728, + 695171859, + 657216987, + 281645645, + 754702588, + 472281440, + 3997669, + 867303133, + 838833991, + 772972692, + 212257253, + 557166224, + 40567206, + 99879901, + 849909818, + 902676048, + 181480704, + 956024786, + 773838228, + 935013661, + 426119407, + 825423274, + 892951399, + 357137028, + 64037843, + 570189418, + 295046251, + 425017233, + 51247859, + 973959001, + 946244520, + 614061128, + 781455514, + 972614609, + 696146631, + 521032686, + 133860682, + 959875993, + 82183382, + 139161703, + 279322483, + 768631545, + 710474713, + 651300672, + 542071466, + 951676897, + 495986378, + 880285913, + 773083424, + 308423475, + 277126591, + 449383133, + 7726186, + 169978299, + 422293608, + 536207064, + 550260657, + 878274543, + 498235037, + 965978073, + 225097053, + 759164300, + 719657282, + 513146806, + 682914779, + 260201109, + 694984536, + 205975863, + 12383496, + 518877660, + 748121550, + 408196007, + 108709300, + 963427875, + 734031080, + 849023573, + 201429092, + 609315666, + 621806624, + 132174241, + 595967507, + 258768390, + 822288896, + 935995708, + 66030739, + 970974589, + 728425857, + 88193748, + 957615321, + 720758678, + 594586857, + 482803770, + 574061466, + 221581926, + 902122152, + 129251632, + 172464764, + 111645284, + 649544137, + 376011398, + 981373832, + 99510149, + 322062494, + 549042905, + 32239745, + 632782304, + 475954, + 727380918, + 5146060, + 697172694, + 52704761, + 907286709, + 10105196, + 443638487, + 180435053, + 775585849, + 322179685, + 531607693, + 466890608, + 853833121, + 579833264, + 642627175, + 785604292, + 922808630, + 197425785, + 218776142, + 641056039, + 452543051, + 397383922, + 903166312, + 677463527, + 354489745, + 761351967, + 985080563, + 219778406, + 581106113, + 272432793, + 291405435, + 645643057, + 155139137, + 576605355, + 548037512, + 673265462, + 980259800, + 206983569, + 9277482, + 349144951, + 428308395, + 916379262, + 214184430, + 96256386, + 200468746, + 794862337, + 214479529, + 297767260, + 395999407, + 427501082, + 819584564, + 244769277, + 351072414, + 687600704, + 743294089, + 912675110, + 594716870, + 66584939, + 966250320, + 932427325, + 547766184, + 388102572, + 835772940, + 7974684, + 705962708, + 664799181, + 352765685, + 49475840, + 847713140, + 830434093, + 536887699, + 603000036, + 135407433, + 618920050, + 585927386, + 817330490, + 891185141, + 221711434, + 253875591, + 911074386, + 160743379, + 153432301, + 178149838, + 862638119, + 636596557, + 756630288, + 200391227, + 574466044, + 596736109, + 598616143, + 14879197, + 335762070, + 996826887, + 908271429, + 388621970, + 487538025, + 163104572, + 996108040, + 536123935, + 584453867, + 882283697, + 117560809, + 259541975, + 182772280, + 819948279, + 89264416, + 449036357, + 676988152, + 598860070, + 720906951, + 556689277, + 450807449, + 507426058, + 858758621, + 140926833, + 281547304, + 521255171, + 138533966, + 214258572, + 530390608, + 467581644, + 45221833, + 669207039, + 434305708, + 748714357, + 728770708, + 405203926, + 960537961, + 717320121, + 339643766, + 14908435, + 485544927, + 550818862, + 506939994, + 696859470, + 925359216, + 988355999, + 135588002, + 538287948, + 607755575, + 24062955, + 357866392, + 677641500, + 839651492, + 469980255, + 249399681, + 337211831, + 54969732, + 340609260, + 963221663, + 880478117, + 732781577, + 280371762, + 418468848, + 744629258, + 125380202, + 356713790, + 79693156, + 405213903, + 197592840, + 174494699, + 324213536, + 235448412, + 146214242, + 790579918, + 910727713, + 471421598, + 529270537, + 656538006, + 368984664, + 834044197, + 412394767, + 496941147, + 334487799, + 672077241, + 592956255, + 896296175, + 894401845, + 649841356, + 180212586, + 858042869, + 642482850, + 441725102, + 942682254, + 732279346, + 582580336, + 273903172, + 372307407, + 332234231, + 66333947, + 526117717, + 749664151, + 459857426, + 248160828, + 225717648, + 790062680, + 77236154, + 419653995, + 821166783, + 397544390, + 280128042, + 943600161, + 264702671, + 114352431, + 11599334, + 622532225, + 802214998, + 922346, + 172559713, + 683685941, + 250557921, + 607595193, + 725846330, + 341571312, + 493773439, + 1994619, + 164808640, + 437532097, + 668472869, + 434993375, + 161095196, + 788893648, + 706139106, + 750295655, + 897268456, + 615022653, + 818800405, + 434790152, + 652085260, + 107182067, + 534960655, + 30941999, + 399581804, + 484659829, + 400491966, + 240865672, + 610631292, + 747690168, + 598709032, + 650793969, + 214403426, + 169620570, + 290760950, + 393871644, + 549403283, + 407333390, + 747690225, + 163215833, + 664477184, + 350809985, + 74078985, + 689727500, + 701103044, + 742303141, + 700667100, + 772322457, + 577985468, + 33707910, + 123352122, + 592484673, + 995333186, + 708371729, + 766944846, + 574970692, + 254781940, + 541708397, + 192190717, + 732566421, + 970594654, + 190304906, + 343122170, + 184017886, + 789780971, + 235670826, + 227529193, + 470480840, + 37648794, + 689387113, + 202966054, + 574566232, + 804770098, + 759653013, + 798214662, + 327599851, + 109494921, + 245053572, + 312138325, + 747072711, + 884563601, + 679956528, + 747217584, + 633992640, + 736780402, + 373895678, + 977582016, + 768862443, + 231121174, + 218786911, + 172846506, + 534857325, + 640442804, + 50286004, + 223507040, + 63358199, + 47640394, + 777395478, + 151842594, + 186438425, + 967784508, + 929436148, + 40690597, + 490496427, + 690053428, + 598271283, + 362014543, + 416237935, + 5141164, + 940325817, + 390137499, + 826883440, + 956963276, + 794776354, + 528230307, + 985452332, + 448218148, + 45701621, + 859444276, + 41293330, + 288343550, + 766589685, + 975593080, + 41427159, + 733961567, + 178011131, + 911222165, + 973610163, + 676799941, + 44550913, + 453886101, + 691129800, + 832556347, + 967085573, + 612817598, + 988174766, + 426871786, + 905658570, + 481070334, + 470479757, + 635208009, + 877677907, + 529168890, + 100216632, + 167416604, + 728490267, + 48554472, + 933249436, + 62680778, + 75974806, + 420704481, + 960541669, + 136180257, + 840809100, + 805988582, + 543840577, + 893217221, + 296243460, + 10161384, + 870645084, + 78310377, + 891549330, + 329503648, + 636745435, + 116889865, + 123588229, + 758874443, + 937101217, + 409878830, + 996019463, + 199209522, + 191553278, + 283010534, + 861441024, + 407528222, + 209295046, + 524861539, + 63199021, + 2279819, + 218141595, + 461324892, + 996046776, + 827022941, + 958321836, + 391046866, + 505055038, + 326486330, + 870009919, + 181847635, + 232365710, + 459173621, + 586236628, + 879717612, + 249203751, + 153392615, + 523023101, + 857306172, + 925699895, + 118956408, + 508393091, + 432790089, + 237500699, + 356281584, + 742554552, + 946310947, + 978542671, + 535522123, + 625998780, + 103429283, + 610007369, + 639431643, + 134016987, + 66119474, + 61112638, + 506563181, + 570471983, + 895132727, + 498949435, + 459971124, + 249881230, + 138978320, + 423112666, + 315921994, + 88997362, + 585681619, + 880712045, + 138221813, + 571206056, + 432845137, + 830911181, + 73220146, + 439876119, + 227119702, + 564744171, + 984943360, + 514625649, + 993409496, + 34456918, + 335484318, + 175085375, + 12009487, + 224819623, + 458700869, + 233059406, + 737913424, + 241742672, + 120421402, + 829212830, + 160515605, + 141747960, + 872283025, + 206923978, + 948413863, + 882340115, + 884403857, + 438714362, + 138734905, + 924791619, + 30474198, + 392457538, + 971554813, + 208861957, + 463782274, + 258734454, + 522928168, + 554105121, + 834831562, + 707465442, + 147385827, + 469401887, + 407934237, + 956557509, + 586732404, + 286273033, + 9439438, + 427336457, + 405453540, + 734578789, + 75777251, + 743536553, + 312952551, + 807201019, + 719229141, + 18704873, + 955396200, + 925274735, + 256535340, + 75976725, + 293996987, + 96464497, + 662532954, + 629244412, + 228373197, + 2251376, + 188220214, + 124752392, + 927956699, + 556292031, + 945164321, + 612397678, + 936173797, + 565616637, + 55344386, + 831949901, + 188703119, + 566541683, + 437174895, + 513794248, + 88308412, + 74704734, + 222696142, + 810565375, + 808023794, + 667631724, + 671823562, + 15585503, + 394588763, + 12632164, + 225788257, + 985416553, + 789039465, + 269777200, + 388455753, + 241991996, + 161298600, + 542797998, + 29055703, + 630250597, + 389807074, + 560417903, + 789087885, + 876092352, + 707403584, + 875354069, + 63512764, + 23798842, + 535478904, + 839354711, + 156817066, + 816591472, + 847966224, + 405485816, + 992502048, + 303670794, + 792266559, + 606611261, + 357945754, + 325927609, + 298144288, + 364755983, + 16354151, + 182077745, + 483541796, + 505830070, + 90800549, + 776837831, + 438657269, + 510240377, + 81878039, + 909318643, + 882767291, + 744582804, + 210307312, + 287515798, + 653485572, + 731724493, + 301225037, + 143181092, + 847897170, + 401389487, + 852645156, + 326111491, + 856111092, + 366963114, + 663142914, + 891204192, + 218974434, + 578682162, + 815578315, + 374001676, + 144821451, + 472824044, + 384103551, + 987417480, + 640394281, + 178846731, + 419824749, + 127060054, + 244545798, + 602385471, + 547927694, + 954786848, + 953538526, + 934731307, + 238895497, + 42668070, + 997905616, + 357284621, + 816901224, + 235553760, + 637635019, + 104691758, + 279223423, + 530640007, + 538909175, + 93179652, + 137708189, + 565686463, + 109059019, + 505041412, + 679026520, + 807935414, + 953371576, + 991631087, + 752290960, + 849584241, + 179728441, + 52288403, + 471210852, + 493818908, + 561381371, + 79231197, + 823631973, + 677242455, + 235216897, + 56303160, + 74994289, + 289729481, + 480884679, + 242776241, + 597217227, + 57046665, + 723392081, + 87995894, + 568402591, + 633085087, + 553242884, + 76967736, + 973473687, + 977269943, + 939060479, + 236346759, + 307574471, + 548827408, + 238511270, + 607830769, + 579318842, + 90554404, + 589652761, + 536117902, + 358169860, + 839391444, + 243362868, + 762139888, + 548925830, + 930639844, + 928600632, + 167161105, + 856187412, + 397456574, + 855502146, + 54378365, + 489799824, + 21921949, + 971765922, + 168564168, + 474979166, + 499886006, + 993764123, + 991552839, + 395273030, + 323375742, + 609140840, + 444139243, + 851140661, + 831903750, + 549711905, + 439852353, + 677306112, + 28062859, + 233786291, + 90022157, + 148797798, + 151033868, + 338426910, + 118778440, + 64185437, + 311852612, + 382264739, + 199334700, + 874797393, + 837449793, + 137045101, + 741141912, + 764398166, + 645854725, + 52899497, + 518483978, + 899224637, + 937631544, + 278301410, + 686325646, + 983625782, + 75834074, + 656845285, + 325485715, + 15231346, + 208228923, + 748981614, + 94611302, + 80092524, + 461452957, + 309936111, + 179154731, + 678894565, + 361674154, + 77414080, + 955280064, + 279946708, + 818061092, + 151410450, + 979660792, + 28747351, + 232710251, + 234525915, + 82412799, + 420696669, + 216650111, + 201390630, + 195452140, + 402148651, + 360033369, + 339941384, + 110368570, + 558865647, + 854774039, + 458397599, + 47689154, + 879538328, + 147187060, + 148597962, + 201965620, + 178378363, + 901138785, + 556536551, + 362461088, + 97279837, + 283678855, + 638634652, + 305056112, + 66673850, + 375058007, + 213504874, + 590865712, + 289373194, + 348600478, + 468046815, + 920164515, + 550581595, + 368021395, + 761821403, + 704402017, + 222699276, + 183071783, + 984627181, + 625478677, + 312646600, + 802477541, + 316721457, + 594940898, + 993356568, + 564822351, + 881152123, + 425399099, + 909206342, + 900007277, + 854954341, + 123066083, + 613351794, + 721946950, + 1614907, + 56470973, + 830938456, + 857834771, + 388971484, + 590500533, + 33820835, + 887986442, + 679675220, + 116734194, + 968297751, + 824830031, + 781459631, + 863211121, + 965965448, + 213237771, + 542742863, + 663779145, + 303746323, + 164792166, + 601554881, + 492588745, + 887839589, + 284563794, + 127449792, + 541569747, + 341386844, + 712719355, + 551845840, + 330865970, + 965243966, + 510022626, + 92277597, + 519100917, + 556995751, + 131196484, + 799101001, + 604386500, + 32607587, + 955857209, + 737124038, + 298748379, + 771802076, + 478723150, + 521737127, + 103447350, + 45624085, + 954944717, + 497867921, + 878218662, + 655076141, + 650093540, + 355113226, + 766430760, + 976935339, + 312914296, + 134686624, + 309919478, + 250460497, + 595990014, + 580010718, + 165452616, + 635106454, + 163266029, + 386308218, + 297213713, + 684144629, + 413032858, + 35015691, + 796279677, + 149719926, + 50248479, + 492866972, + 518841732, + 936558986, + 497326626, + 746329640, + 923857349, + 937104309, + 925339167, + 204160254, + 86334603, + 749061765, + 943666102, + 433414758, + 972347360, + 389897807, + 900779609, + 157513719, + 786321316, + 78351510, + 186214580, + 672925056, + 642392393, + 229968294, + 630448905, + 688664936, + 979724689, + 660936740, + 249588028, + 451154857, + 327364503, + 747544041, + 457640616, + 708619755, + 346129863, + 423635682, + 923567495, + 209309993, + 629377211, + 723222266, + 810213457, + 332713404, + 821821352, + 319824599, + 516480654, + 936720964, + 65729115, + 919991597, + 541260414, + 343197303, + 429371507, + 345713013, + 250448528, + 14189279, + 979037470, + 226076680, + 131347918, + 603209236, + 515102331, + 249516437, + 83202974, + 933271132, + 564260202, + 506823408, + 625139590, + 671506930, + 146427613, + 162715498, + 506956471, + 308059018, + 808066128, + 700875276, + 164086265, + 240193129, + 131309642, + 230153350, + 874207135, + 981856827, + 226658793, + 933991643, + 384576778, + 381616436, + 68612374, + 929392133, + 727019245, + 813617889, + 181342357, + 867408156, + 17402533, + 9591570, + 391533585, + 973239968, + 372747648, + 387285947, + 174723808, + 872219108, + 573589946, + 488290672, + 718763643, + 840682925, + 346788784, + 191104474, + 356592058, + 186900455, + 435608532, + 652980281, + 844359774, + 499313230, + 923372729, + 848981597, + 360604722, + 931579095, + 530077117, + 344789266, + 128030394, + 538059672, + 201058822, + 354269657, + 795170300, + 46988854, + 833467330, + 622491787, + 774412964, + 488881226, + 685721684, + 592777622, + 732934099, + 740487815, + 541622835, + 759161960, + 365496649, + 900743943, + 20767609, + 754448033, + 453983632, + 547605318, + 718800767, + 262507072, + 276126485, + 58207078, + 635929515, + 519985672, + 291447907, + 599357574, + 753342337, + 159225410, + 73403929, + 97714166, + 84004622, + 368013065, + 873199974, + 44183454, + 276257900, + 537407976, + 790960789, + 151008974, + 268728124, + 6796065, + 822851275, + 340714887, + 332501227, + 105839661, + 932850091, + 2225462, + 118072807, + 786577643, + 375226513, + 999436956, + 169015842, + 554925874, + 517932133, + 876967023, + 257269480, + 325045611, + 64671623, + 992053957, + 77192470, + 506165744, + 826510809, + 551119331, + 490457682, + 967009652, + 446038635, + 354493285, + 8445503, + 185116199, + 424131892, + 928587129, + 158402364, + 831486768, + 902256724, + 366359298, + 780523608, + 515703628, + 836341583, + 875254471, + 936555612, + 916442121, + 401718199, + 534970233, + 259888876, + 580589855, + 590956014, + 369043898, + 97512651, + 702012316, + 787426333, + 87064035, + 259518787, + 853564148, + 140169442, + 933363159, + 775947294, + 723436712, + 115433032, + 249822938, + 947282828, + 250229432, + 192809473, + 675197211, + 412681507, + 731035895, + 438220093, + 1299443, + 522730924, + 235874069, + 654094422, + 638636915, + 491318617, + 716816090, + 915140727, + 586459939, + 315658276, + 956173662, + 447340291, + 268348200, + 950086773, + 525720528, + 411285115, + 244706014, + 149562713, + 987062280, + 972317332, + 705359684, + 408633249, + 470426935, + 812363308, + 53513791, + 524219111, + 735838143, + 194592478, + 314542104, + 436731456, + 734218937, + 239187061, + 114150649, + 123796881, + 104961538, + 428491002, + 723209136, + 157612994, + 798566442, + 114038679, + 303028738, + 288546280, + 14896023, + 914307270, + 421370068, + 64544821, + 972582169, + 648904716, + 319493793, + 738954079, + 612142999, + 871028833, + 625017976, + 506871367, + 736798862, + 823546375, + 980718244, + 224031002, + 245903696, + 771864904, + 179992740, + 200983897, + 168104064, + 438734809, + 357181240, + 388298543, + 803587121, + 366801074, + 920302786, + 474253808, + 384525192, + 660798387, + 80236646, + 75350931, + 206860908, + 494671008, + 983708477, + 432080890, + 938625968, + 531851862, + 882405039, + 936151401, + 27017252, + 215151461, + 739241405, + 155645928, + 153854661, + 536924100, + 19296916, + 20517633, + 858377345, + 286953545, + 377543790, + 720002733, + 449355212, + 929385922, + 248261024, + 364250284, + 931107403, + 447658613, + 729185209, + 925075654, + 645525108, + 718254056, + 485692488, + 776276476, + 606231095, + 439787477, + 850171576, + 42313496, + 165109681, + 33889129, + 611545233, + 714906586, + 975967508, + 65912905, + 598225615, + 161151426, + 78374580, + 322003433, + 169450095, + 11266540, + 339670728, + 121862230, + 218639402, + 266315327, + 910959403, + 51333918, + 712163529, + 258794097, + 887427871, + 328571876, + 721848299, + 22525706, + 920614624, + 129695699, + 447635955, + 158638122, + 550656073, + 56174381, + 933017812, + 1455855, + 143217309, + 725917452, + 892851494, + 427122829, + 66135344, + 982572134, + 146650732, + 450252915, + 627993606, + 919838189, + 549582479, + 427262842, + 857357072, + 855573109, + 892536218, + 336435013, + 933508302, + 756956001, + 813903024, + 239705144, + 406983873, + 393046170, + 39756835, + 161411330, + 551427950, + 451332493, + 528831502, + 2300168, + 317718575, + 374984575, + 236680049, + 436422393, + 168590014, + 810197305, + 846734445, + 118661735, + 134041372, + 344772948, + 121460070, + 73649065, + 80581720, + 482553392, + 528202712, + 738142731, + 739598252, + 90693690, + 838904109, + 643042677, + 836476324, + 341173829, + 262415735, + 453303577, + 886871059, + 753156140, + 270879570, + 791626521, + 526944027, + 822684191, + 650282197, + 61177496, + 612803681, + 415361080, + 681932251, + 625237658, + 738503519, + 430479888, + 81061638, + 86354775, + 305710426, + 287898419, + 76861785, + 827335455, + 64025053, + 786111349, + 61932477, + 191372161, + 708891423, + 457484777, + 160332219, + 513613254, + 506229347, + 369519698, + 489134484, + 213850746, + 806359717, + 492000889, + 914010637, + 9567627, + 543143922, + 525877243, + 301345315, + 794555753, + 235695934, + 27351800, + 498339247, + 545727518, + 663460590, + 671033785, + 14313321, + 220803145, + 924804508, + 170765935, + 328347698, + 422057464, + 421206954, + 910321426, + 603437112, + 77703273, + 628939494, + 999775690, + 909210824, + 739476996, + 805286765, + 567211764, + 599987815, + 250793383, + 843277832, + 913534903, + 352990966, + 821846600, + 736155261, + 152540269, + 642012003, + 947945796, + 128971873, + 82126173, + 635985788, + 175454933, + 702325326, + 696017189, + 369266773, + 58274128, + 589091440, + 650144482, + 183871569, + 578602362, + 936387616, + 120609948, + 348055661, + 66760305, + 728389869, + 32579773, + 553826853, + 917071766, + 475842075, + 463263018, + 85375969, + 673184088, + 124363371, + 842320319, + 21954077, + 897249950, + 77929946, + 811506583, + 460540329, + 503432924, + 556496230, + 174696610, + 877220919, + 624338502, + 741574657, + 72209927, + 212904338, + 20050059, + 431766006, + 244746640, + 118842916, + 859312022, + 35319922, + 759179399, + 409276170, + 794989185, + 81618193, + 83362611, + 976472520, + 890003444, + 957277438, + 267622178, + 668624864, + 977777814, + 98424722, + 975991716, + 198139011, + 272419893, + 424963616, + 404758665, + 35914173, + 492677297, + 282978751, + 101119169, + 83412184, + 954459679, + 273989444, + 77063583, + 962018903, + 180021932, + 574871343, + 136860883, + 963074951, + 769669373, + 615905925, + 977346629, + 265827251, + 931022358, + 160162034, + 407507737, + 867056647, + 851732056, + 400680143, + 388023040, + 835135807, + 796126934, + 255605978, + 1660846, + 711364005, + 388335915, + 773306241, + 74545850, + 849583848, + 902917633, + 817121187, + 91496444, + 573835785, + 539240646, + 924547397, + 292096976, + 421992516, + 200183044, + 77201579, + 404857073, + 258415258, + 183536097, + 378242635, + 399160116, + 918143152, + 956711964, + 333432485, + 442309143, + 629679988, + 930346753, + 427853136, + 457735177, + 697713128, + 658254593, + 316472137, + 436230680, + 658417023, + 860022276, + 690086330, + 276508447, + 173405422, + 520728774, + 985785315, + 926017311, + 754635885, + 980677511, + 703047392, + 121169632, + 65779674, + 98826736, + 93368467, + 885556704, + 752957167, + 973110172, + 219918650, + 354106478, + 329107546, + 496209367, + 360930654, + 785588446, + 937729323, + 964595155, + 430895026, + 871161639, + 513018267, + 620914649, + 352309748, + 26834511, + 77090502, + 914793038, + 929704669, + 111651143, + 387238338, + 542366151, + 90491071, + 167632219, + 674170315, + 848527643, + 968918982, + 388398354, + 678124690, + 440864721, + 799480543, + 951713715, + 470521203, + 613360481, + 997491797, + 15919614, + 158328032, + 750798785, + 412890396, + 327117530, + 949301928, + 432587178, + 387399183, + 426743655, + 757620192, + 891858449, + 177593377, + 210701993, + 803634174, + 954625979, + 489147436, + 984366598, + 27237179, + 616070344, + 272001179, + 38788503, + 82875118, + 697456363, + 52695656, + 988504358, + 420135592, + 447702830, + 483733739, + 935223874, + 913607512, + 377809160, + 872222311, + 449852874, + 130878518, + 552022179, + 632758788, + 625199318, + 665840055, + 635448203, + 800183013, + 561332091, + 22093161, + 766014672, + 187139214, + 132340889, + 407830840, + 509332010, + 939687413, + 160780133, + 392097084, + 102594301, + 392028281, + 627197165, + 573505524, + 438369872, + 513357251, + 238522528, + 635055588, + 266973249, + 201081694, + 399723218, + 297754961, + 464243801, + 115032340, + 877133348, + 312042471, + 334942955, + 598278786, + 236196272, + 937554985, + 98867044, + 351959561, + 962811729, + 543102763, + 579894639, + 868823259, + 769288704, + 190791414, + 539633889, + 517852007, + 962297053, + 133742956, + 56716334, + 478914107, + 941045890, + 56494253, + 204965552, + 618499946, + 9753811, + 435281555, + 777506798, + 263997819, + 981392378, + 255907227, + 510747790, + 878421435, + 519850142, + 401220730, + 956429893, + 619932320, + 717196086, + 585717282, + 183726207, + 657196934, + 201614840, + 456041452, + 632920166, + 473293420, + 831267110, + 348537694, + 656623710, + 617066125, + 704875443, + 111354529, + 969658245, + 572880405, + 594422054, + 638523070, + 117258404, + 116737896, + 375860759, + 547744627, + 646977602, + 607314166, + 294917709, + 456438791, + 581897379, + 310556775, + 903731795, + 953947248, + 262151622, + 350055065, + 850703057, + 463327974, + 884052516, + 676540548, + 346616558, + 461845655, + 292490984, + 623896661, + 813892740, + 572711631, + 549569830, + 897323813, + 834071539, + 378705355, + 295994016, + 746097732, + 213062767, + 675241259, + 10620023, + 904133478, + 753643195, + 611859914, + 784180728, + 662131080, + 280682104, + 281888645, + 344016080, + 236747904, + 141547581, + 70650473, + 296222485, + 742901880, + 487503434, + 700557381, + 395399303, + 140635401, + 784811398, + 826280881, + 934562935, + 199827264, + 299189032, + 397244016, + 179301656, + 319660654, + 52415336, + 100896644, + 504077933, + 115502502, + 682919782, + 548377847, + 20825942, + 632402932, + 672035575, + 658972112, + 197610108, + 247652724, + 661660274, + 236995906, + 759891375, + 638038345, + 703458672, + 223259536, + 716621023, + 898379706, + 50278929, + 249545765, + 564143590, + 621067617, + 437313742, + 954771477, + 893746920, + 88889814, + 601318813, + 321525348, + 565766102, + 595591302, + 749493120, + 639138184, + 11664739, + 476562253, + 331575081, + 923894403, + 558812038, + 441132467, + 775759616, + 892642659, + 508086398, + 199975166, + 230793759, + 369239599, + 702626960, + 165558732, + 724775449, + 330350826, + 83535302, + 369778529, + 990448844, + 899451693, + 190902910, + 942413328, + 895653515, + 771970038, + 269473747, + 243384291, + 278057968, + 943244080, + 655115227, + 678815515, + 279985845, + 200854823, + 131098517, + 278824384, + 722502102, + 228111525, + 848646346, + 426605403, + 768824612, + 871903529, + 62289564, + 762165727, + 914943309, + 204088658, + 55538664, + 17137814, + 206529388, + 400316115, + 279717402, + 472431285, + 785068846, + 34192951, + 444958501, + 857850597, + 721561631, + 252769720, + 443425570, + 492224218, + 223622315, + 754802576, + 378568958, + 368089325, + 167076408, + 351629824, + 621777175, + 442577910, + 647069213, + 390789550, + 758414960, + 774220609, + 316490856, + 432231289, + 799503263, + 267859903, + 480444384, + 781057082, + 747216944, + 591502486, + 132577290, + 413868689, + 892825, + 806235223, + 816656782, + 736134566, + 264360889, + 988196198, + 845324867, + 807169022, + 597072731, + 147282123, + 50873762, + 142250463, + 651594901, + 55306034, + 837735497, + 786898925, + 759629479, + 839256302, + 738913485, + 427251647, + 899245725, + 948199003, + 437153371, + 600057637, + 772968913, + 639612148, + 192252241, + 686559077, + 588088531, + 623137512, + 70511678, + 566364352, + 697114348, + 598937133, + 36036611, + 218683946, + 786460920, + 874022242, + 951768559, + 286997634, + 971028620, + 820082680, + 203231489, + 24895502, + 150649958, + 104124154, + 55424217, + 229783831, + 296953426, + 170878075, + 883232831, + 133758452, + 89496051, + 541830193, + 331681803, + 452363629, + 99951716, + 107625570, + 311840278, + 607482118, + 628327761, + 300475412, + 887292082, + 489117914, + 229147886, + 664465544, + 422671938, + 112521216, + 376459612, + 775437349, + 680149068, + 224437018, + 527050981, + 201640537, + 717140281, + 365758622, + 332757509, + 642983451, + 252120726, + 918856571, + 41286249, + 196667815, + 280456568, + 937730772, + 881542078, + 159552582, + 642123071, + 354158213, + 120986022, + 76971174, + 636882909, + 999631101, + 690532393, + 243053167, + 597107706, + 951257025, + 442075807, + 758045533, + 918359136, + 384823599, + 495355987, + 577009002, + 401754048, + 275345603, + 649387936, + 461784419, + 392802505, + 934401895, + 559292081, + 492494275, + 595537030, + 360926844, + 673476995, + 599680584, + 94136601, + 647504921, + 807956795, + 700261049, + 657274109, + 190689489, + 4430251, + 913643621, + 781061071, + 802062567, + 179324641, + 725041470, + 598708835, + 191941292, + 202167403, + 201414904, + 184154198, + 732947936, + 762666947, + 972211519, + 575951977, + 23304892, + 360281246, + 94615153, + 853463643, + 98107762, + 81717576, + 382791510, + 361814798, + 110285133, + 557162100, + 14749739, + 492641163, + 776717776, + 256670865, + 808699105, + 748229919, + 527264049, + 939760139, + 729647240, + 317013599, + 215986763, + 830435634, + 223396573, + 224456587, + 615938345, + 98749033, + 872869819, + 115833446, + 834225202, + 949145316, + 415342997, + 676226134, + 368768832, + 522189885, + 353415922, + 293060840, + 950809283, + 61214491, + 176196585, + 831509771, + 110295024, + 89590617, + 305700450, + 331456615, + 172341970, + 118461593, + 391749209, + 558077568, + 245928712, + 229181064, + 943022351, + 450881486, + 964130062, + 967233849, + 489251308, + 572648405, + 555197975, + 920178034, + 930681838, + 123107581, + 268358889, + 62357993, + 75447502, + 613452334, + 7789527, + 723059507, + 534734586, + 814281767, + 792773748, + 71626146, + 224530020, + 880562720, + 155348470, + 724599253, + 916081055, + 589871142, + 699209021, + 471772671, + 460694535, + 672606519, + 361461720, + 861128980, + 361943098, + 335380192, + 436952781, + 36317709, + 876674894, + 836666403, + 449897794, + 274131368, + 996943147, + 948307743, + 611019285, + 643421641, + 61459214, + 555669332, + 521046596, + 25746295, + 615891371, + 986577674, + 613000189, + 958892583, + 892515569, + 922753454, + 224418864, + 704309220, + 680742773, + 641952273, + 285130009, + 868319401, + 137665786, + 677845083, + 8457024, + 964583677, + 762824532, + 975203794, + 184012831, + 597636608, + 85785384, + 735505376, + 233190880, + 5839378, + 838129429, + 477950590, + 381473948, + 559033, + 234593520, + 576034390, + 46149290, + 272211202, + 791370544, + 659260984, + 825167986, + 784122326, + 648187855, + 566106007, + 142674188, + 796455567, + 249533639, + 241937152, + 388521562, + 558346660, + 519039044, + 777947231, + 362103064, + 920574858, + 606241004, + 983886973, + 210813154, + 815800294, + 205931407, + 658378073, + 389413778, + 705658278, + 205430669, + 191372789, + 487705491, + 628651080, + 108385659, + 412820498, + 639887624, + 449038274, + 675641871, + 417282152, + 577840478, + 585356406, + 164346803, + 922519294, + 352977060, + 18638223, + 982143718, + 118794971, + 484134079, + 91583371, + 623002840, + 3482795, + 108296032, + 742779108, + 481868576, + 890045314, + 191743983, + 338004860, + 533765826, + 731031342, + 355158930, + 793733032, + 615312530, + 650185556, + 191799837, + 335715973, + 351713738, + 594500849, + 45665036, + 415765318, + 149824770, + 534583453, + 748141168, + 796906552, + 753986443, + 931681697, + 739640217, + 680219355, + 146051506, + 344490110, + 286006037, + 383990478, + 824028601, + 399677204, + 648616159, + 732967544, + 812591622, + 644484933, + 488725186, + 303921016, + 61467287, + 839403249, + 77609203, + 972484059, + 339162784, + 145771993, + 534801331, + 232453905, + 668072420, + 883295932, + 196978970, + 653862720, + 294135999, + 130380761, + 997089842, + 181396474, + 798468076, + 518868995, + 780540021, + 698170649, + 151122454, + 6148023, + 706122356, + 496409015, + 978334527, + 89504916, + 746376942, + 328379185, + 93355177, + 773331262, + 173340783, + 83657411, + 952083087, + 508187551, + 795365719, + 378135472, + 814868331, + 505122960, + 834807888, + 5514779, + 988593237, + 115605187, + 129842970, + 84694543, + 350754223, + 575930176, + 989360718, + 529162374, + 861434560, + 433325270, + 202216636, + 186918105, + 990255228, + 517761992, + 712355253, + 280518323, + 838569445, + 375041019, + 145405007, + 412779355, + 564473441, + 301691736, + 188855329, + 764295204, + 997608028, + 710990607, + 896381506, + 337415560, + 39389566, + 775505121, + 563398041, + 110573861, + 442500765, + 346268439, + 295699419, + 31161493, + 319500813, + 795460676, + 453875988, + 472168713, + 825604145, + 37325283, + 207664123, + 128660004, + 313637812, + 153808311, + 905643187, + 509201096, + 13763280, + 370215025, + 929810242, + 200055012, + 12552184, + 469125164, + 187745450, + 625734626, + 769309744, + 400763993, + 559691882, + 999520308, + 681231718, + 477022107, + 319537286, + 186696036, + 212526663, + 194722464, + 889036273, + 316186754, + 746473341, + 89666255, + 83625947, + 450799743, + 998614173, + 928841454, + 382622439, + 105936957, + 573754394, + 82035961, + 489508911, + 637706327, + 999048954, + 723782302, + 470706133, + 496873089, + 820381362, + 970412034, + 668612285, + 16185802, + 151234114, + 835195935, + 178728400, + 74249244, + 392520891, + 423539561, + 812049603, + 52120288, + 798299114, + 198439319, + 697731870, + 303884532, + 862454817, + 294640557, + 205823861, + 538843041, + 249584219, + 774568170, + 609028547, + 536697086, + 767484913, + 542952649, + 623085413, + 15635083, + 819766320, + 245935055, + 217900054, + 238081397, + 501559110, + 513524036, + 643473124, + 53403342, + 148819648, + 494354815, + 414378059, + 225789288, + 375978562, + 140898040, + 415793802, + 37925706, + 163630651, + 222625161, + 695546847, + 634799769, + 528911903, + 592744056, + 83218037, + 586436071, + 451816073, + 38812950, + 370712532, + 729530476, + 56304673, + 592936222, + 661762572, + 596515772, + 115445391, + 50741909, + 735459524, + 100166590, + 906738944, + 523613294, + 38725665, + 819565617, + 466272334, + 275259664, + 11096482, + 668787258, + 664830170, + 845414052, + 335620688, + 66327113, + 837100856, + 575305977, + 181424456, + 380286353, + 139850227, + 460053099, + 334938246, + 935616735, + 971894923, + 101082057, + 864983858, + 193605650, + 202623772, + 14956299, + 376531601, + 391139379, + 444393177, + 928028288, + 654734125, + 575637450, + 596750500, + 690714746, + 60425109, + 943704518, + 404344363, + 932659456, + 854176794, + 89155746, + 737064964, + 366181962, + 64228448, + 860980768, + 542576385, + 294716010, + 558288896, + 853114799, + 529598433, + 567383338, + 83239015, + 655948406, + 535316183, + 161487742, + 153497186, + 323244584, + 514361636, + 628159467, + 619950453, + 558021164, + 111810359, + 489435787, + 429256450, + 712946159, + 884551010, + 37976262, + 373088190, + 937430487, + 406104709, + 978144201, + 723554541, + 731706461, + 780546643, + 32920059, + 764351648, + 424463937, + 733785681, + 487958675, + 51134750, + 788050196, + 702778177, + 192779459, + 803748488, + 1056430, + 684693820, + 559492709, + 405914836, + 670943254, + 21963251, + 790408255, + 8786968, + 11410130, + 510557604, + 630538636, + 595649089, + 144629295, + 104477209, + 365272957, + 455619206, + 69823439, + 945984094, + 656901235, + 951624891, + 233891381, + 832655357, + 407623379, + 511260369, + 723680466, + 804453701, + 13749542, + 96560727, + 966865233, + 480815193, + 244386940, + 711072523, + 895637688, + 919497194, + 886960640, + 902375339, + 802478016, + 89598090, + 833098079, + 649746581, + 646147824, + 793283967, + 170145349, + 119156652, + 616345393, + 276521738, + 649859201, + 48806606, + 710592867, + 868263554, + 567829659, + 53833455, + 689152966, + 478257680, + 131761791, + 761551146, + 753871157, + 37249661, + 49155309, + 459721283, + 409682165, + 571479808, + 635275691, + 4566365, + 747645171, + 935936442, + 5925126, + 824199412, + 675673575, + 192482814, + 706808556, + 988646688, + 26235811, + 386344774, + 326750773, + 550846551, + 10434489, + 926489944, + 9442567, + 421809841, + 358724860, + 158389061, + 401985449, + 157037423, + 671765013, + 257437521, + 563183630, + 736687214, + 365249928, + 297588430, + 337818898, + 799349091, + 203577773, + 112999587, + 866047954, + 35766882, + 606890796, + 245827155, + 111947665, + 967329037, + 393348033, + 665352456, + 27352556, + 177118471, + 947062603, + 152223734, + 800066116, + 882163945, + 69477330, + 909331543, + 344192536, + 257178663, + 583712104, + 89711003, + 913476651, + 787325325, + 401801379, + 943437258, + 518862744, + 779141450, + 697930608, + 435426073, + 427576633, + 994252376, + 450848753, + 424294580, + 994273603, + 853156253, + 684057277, + 67937717, + 202784923, + 193687484, + 395938712, + 749803810, + 596293420, + 692658711, + 972572514, + 55974944, + 711359306, + 707589263, + 404011632, + 424817673, + 549587856, + 624690110, + 61942297, + 703143845, + 329769830, + 609630872, + 500748336, + 128307321, + 925703276, + 28793889, + 284348235, + 644810652, + 760497840, + 316153199, + 319356912, + 317023094, + 223341673, + 221510489, + 125466703, + 155333264, + 532686446, + 369497692, + 576438547, + 584466240, + 473388717, + 824067208, + 460492318, + 243130662, + 831343187, + 86682420, + 321886768, + 897202145, + 49796122, + 86319448, + 791018765, + 171647183, + 964787536, + 899657946, + 236784822, + 473123125, + 202488872, + 225115927, + 315813502, + 919737681, + 15688696, + 549349353, + 505386661, + 892695260, + 99236414, + 171486479, + 848165542, + 392323177, + 936843357, + 250875890, + 446843587, + 583589468, + 709668506, + 127754166, + 982348359, + 244111998, + 404865348, + 246164107, + 27596021, + 949061098, + 402291281, + 602948375, + 203007667, + 145488012, + 527716424, + 721073539, + 6053013, + 307956318, + 475066026, + 948586242, + 90927781, + 239763679, + 58803153, + 66699966, + 264537658, + 691347465, + 904013857, + 436890195, + 146763609, + 150461045, + 362009859, + 862839738, + 711798940, + 628507881, + 313173132, + 871296139, + 171544327, + 118493574, + 257444841, + 387412955, + 356204849, + 891596676, + 885340244, + 581046848, + 741003963, + 214775118, + 230388119, + 950760399, + 365990119, + 832286638, + 498152820, + 376570416, + 930961372, + 241471907, + 458980162, + 856728312, + 607251679, + 364682576, + 170626831, + 727780808, + 112029603, + 263547155, + 445008214, + 824395752, + 511235454, + 701019846, + 74660227, + 421225492, + 923594823, + 985777855, + 54494130, + 584046873, + 624047846, + 681756446, + 193703606, + 683237760, + 614264382, + 271415407, + 455124786, + 87862608, + 139407128, + 229305863, + 978643237, + 208767015, + 939195356, + 468440037, + 206459383, + 616829478, + 721576467, + 33333370, + 321427416, + 285231891, + 40994820, + 389541300, + 95653657, + 274966757, + 751387007, + 309196002, + 176427434, + 575905407, + 673034691, + 709747180, + 804480148, + 592222348, + 137937099, + 141658261, + 78235141, + 757045558, + 374816735, + 410073073, + 755955005, + 952113710, + 547621883, + 626731023, + 690253930, + 868752529, + 701162060, + 942595623, + 214511170, + 767371440, + 827344355, + 792940485, + 381197024, + 869603856, + 885981035, + 848805185, + 565025276, + 128253667, + 405120971, + 757217666, + 92445735, + 860167399, + 794312423, + 790201739, + 587618132, + 599971717, + 962616788, + 993768341, + 258188961, + 338227381, + 884392328, + 764708856, + 50841270, + 808315287, + 42503360, + 396301443, + 499841907, + 688907531, + 951921332, + 854910633, + 707133451, + 689380899, + 770959720, + 976646728, + 806263311, + 403512938, + 278597154, + 224704058, + 441893014, + 755357293, + 366775262, + 845005873, + 622869129, + 922937098, + 737068890, + 490200042, + 316458440, + 896355260, + 25399364, + 817727909, + 366776876, + 492538283, + 124275331, + 341540805, + 601435614, + 991898362, + 861381184, + 976066064, + 686789830, + 888755975, + 636086261, + 838149306, + 403798534, + 248022989, + 616860961, + 317491874, + 303009954, + 255418117, + 728379121, + 174602440, + 682153139, + 544077864, + 792400905, + 429151937, + 9559327, + 889898111, + 134183845, + 882179731, + 676082208, + 808983815, + 964639270, + 908382736, + 221825815, + 948780640, + 941380776, + 51756748, + 435649327, + 801722616, + 848915505, + 766752858, + 792250102, + 551732029, + 286915993, + 420835918, + 55414752, + 832156527, + 66448055, + 234065806, + 615900565, + 417944236, + 560649120, + 376085942, + 737178151, + 230353039, + 883705100, + 854938354, + 459016101, + 122364890, + 778603173, + 660866310, + 167313542, + 788524018, + 30773400, + 853196443, + 799821777, + 828791608, + 98544368, + 780080656, + 185484851, + 785102071, + 791086800, + 568933610, + 855522219, + 353912199, + 891487113, + 460368218, + 204377445, + 359806775, + 737786461, + 53651396, + 641602731, + 804692109, + 203647032, + 969548915, + 194194323, + 515186623, + 500919740, + 444357902, + 630414082, + 670213970, + 15950731, + 128877217, + 496638017, + 839506540, + 420914059, + 825031294, + 547901953, + 175439595, + 35435121, + 516962158, + 750056847, + 108393962, + 902488984, + 321394837, + 754892154, + 951698765, + 806725271, + 631159720, + 261139450, + 149501931, + 24614401, + 548282656, + 120024540, + 391652118, + 82699131, + 315561562, + 131856090, + 379368560, + 935350, + 978386352, + 364037588, + 800351117, + 401548329, + 828745004, + 465255763, + 164490792, + 430603761, + 792107189, + 632803474, + 317150751, + 74394861, + 160129167, + 31114396, + 627180503, + 407601897, + 362515730, + 583477969, + 734868755, + 954569646, + 26423502, + 884943379, + 524489780, + 728810012, + 12751735, + 110362774, + 50851537, + 835589295, + 843218025, + 60052536, + 22532462, + 200951670, + 933302265, + 182294533, + 519974426, + 800210538, + 849659551, + 739894512, + 999360036, + 623575645, + 240940902, + 136009573, + 871459910, + 387266827, + 427792462, + 861862734, + 495689024, + 874310955, + 325836993, + 201133935, + 859334430, + 689148346, + 95022384, + 278769422, + 468203449, + 909417663, + 873269778, + 972193159, + 232861713, + 423185514, + 690154161, + 58710631, + 227660419, + 501551519, + 545407000, + 493990315, + 595701606, + 285529618, + 490056138, + 830530895, + 81345283, + 204314238, + 572151079, + 509434433, + 599397054, + 715269061, + 971728569, + 507279500, + 311502653, + 304808149, + 130278074, + 138490184, + 54522305, + 687922683, + 284249396, + 213761938, + 437295313, + 592839815, + 343330950, + 962773618, + 593897662, + 183980314, + 783159684, + 997604994, + 908982760, + 936857843, + 283689478, + 956527480, + 831736278, + 3975774, + 505784111, + 640737276, + 454572914, + 274101666, + 406443695, + 866063595, + 593304362, + 951844861, + 689040047, + 213417061, + 345884754, + 460694710, + 773351475, + 129341447, + 374195130, + 742502881, + 554501810, + 420838668, + 367882762, + 744524326, + 519298981, + 764198027, + 437744865, + 187232628, + 767596965, + 422367411, + 169794052, + 997713825, + 152070130, + 444217900, + 136334467, + 828856363, + 258374898, + 204241548, + 516538332, + 487801609, + 807907762, + 415298661, + 469915030, + 133307238, + 46299087, + 348871454, + 463385395, + 787713577, + 700241272, + 342726954, + 18802002, + 614761786, + 959343860, + 310101176, + 658343864, + 396725914, + 623687633, + 192284770, + 918990858, + 731820804, + 568503703, + 457227958, + 141672886, + 797546948, + 785676282, + 868450226, + 692469464, + 364289308, + 763115048, + 27047461, + 986086255, + 814916089, + 247404034, + 309199771, + 472635788, + 850127870, + 735232283, + 543154030, + 832190660, + 653766530, + 982364780, + 111701192, + 637574509, + 912369879, + 262426461, + 146766977, + 69314286, + 653523377, + 901871167, + 638695547, + 359007738, + 660813993, + 391271132, + 21676697, + 87669486, + 842840493, + 635500321, + 336744904, + 273523470, + 751828381, + 988170507, + 287300093, + 847788859, + 802182748, + 515229832, + 215703057, + 954251113, + 607667942, + 915398223, + 969253435, + 550407383, + 182810374, + 452128605, + 519693521, + 861246668, + 215864718, + 166976288, + 665979948, + 129902100, + 877347734, + 596596015, + 1020870, + 494089763, + 8778567, + 489068177, + 928588369, + 710566649, + 383019948, + 862530958, + 377186966, + 433148478, + 190375156, + 408700934, + 215442599, + 861897811, + 325508539, + 100931688, + 548879316, + 207344246, + 468978601, + 460083014, + 564405246, + 317620801, + 694457396, + 932605259, + 495845660, + 905441809, + 293402728, + 667387758, + 646026442, + 15067393, + 950999672, + 725649955, + 540067176, + 740949069, + 830265228, + 804781000, + 843764826, + 676179535, + 645121477, + 333053691, + 848745200, + 177325116, + 189005151, + 943916087, + 273667375, + 909768476, + 104655848, + 606294632, + 429918008, + 665164447, + 721720683, + 309860692, + 898514351, + 874546785, + 732741586, + 442736886, + 747485219, + 321650587, + 985723648, + 229383327, + 805257810, + 934530073, + 847497721, + 178799401, + 959454270, + 899287643, + 725248941, + 595008482, + 914498518, + 91044506, + 869129293, + 120581184, + 838542598, + 25612977, + 871131109, + 589967216, + 378566752, + 931720650, + 794046274, + 235279279, + 651131407, + 958607680, + 862078049, + 643547469, + 670398406, + 116688285, + 265726446, + 547447226, + 270354930, + 548902707, + 45805120, + 361828369, + 927724476, + 269141291, + 885856420, + 712140164, + 271191049, + 328998194, + 658937822, + 602563522, + 384991863, + 850107725, + 910259810, + 538669556, + 284519952, + 937632951, + 421642576, + 528875493, + 940815553, + 5303440, + 469243430, + 671100709, + 138660835, + 318732140, + 837857760, + 982841626, + 964303293, + 424533757, + 96488749, + 515033208, + 346486876, + 241264320, + 515013425, + 165935773, + 259534973, + 711585959, + 170405135, + 583401306, + 324452137, + 246013349, + 829214250, + 78057933, + 10973390, + 335530903, + 766166152, + 676422462, + 909652990, + 62043054, + 284714244, + 772098704, + 900050595, + 338081174, + 330044988, + 450154005, + 830008262, + 691171247, + 881984196, + 750627451, + 797335993, + 731839233, + 525229811, + 461813564, + 143411210, + 366780810, + 154644, + 137291893, + 801337233, + 531332269, + 161465356, + 960998395, + 131068443, + 421110178, + 379945830, + 169204066, + 154493430, + 424437052, + 146923156, + 763618940, + 257431939, + 919381715, + 222900362, + 857958444, + 409668835, + 991938650, + 654204512, + 308473143, + 207028569, + 343424777, + 136128946, + 213705119, + 73224039, + 997584129, + 384000298, + 73473850, + 467665761, + 181725743, + 74903678, + 4368287, + 341429149, + 776640373, + 767836337, + 28766763, + 64025693, + 809034838, + 839353531, + 451091511, + 469276172, + 930028185, + 322164704, + 924930020, + 632953915, + 425240328, + 351107261, + 975697411, + 322136655, + 363429134, + 220439150, + 243289451, + 937986111, + 726692582, + 375621949, + 500916136, + 182544, + 7458363, + 670526023, + 472551501, + 391241422, + 51532131, + 430483387, + 124205288, + 41237718, + 576177491, + 459396406, + 239701773, + 216307662, + 50930252, + 73403103, + 302614988, + 302811921, + 48978594, + 786678891, + 718211587, + 748586289, + 894920992, + 170374244, + 449491003, + 275007745, + 950314122, + 459220187, + 680621344, + 741449756, + 250408513, + 370375855, + 519809765, + 666588947, + 750294463, + 524471161, + 938977824, + 860595088, + 192659736, + 450209503, + 590589110, + 100792236, + 567005204, + 235088011, + 815499923, + 169810656, + 358463180, + 966296640, + 652812913, + 920358086, + 491341436, + 365807187, + 728396835, + 120233355, + 352244494, + 242634256, + 191764795, + 893123186, + 496582447, + 168996828, + 604041007, + 872018375, + 220318585, + 630578354, + 576976196, + 142028431, + 452723098, + 463382074, + 264111718, + 735836935, + 751529277, + 821784708, + 48926059, + 878924423, + 98332396, + 390471958, + 619849302, + 353528974, + 326841877, + 984393319, + 709628897, + 695894172, + 620046530, + 326698509, + 254886795, + 258233328, + 908288736, + 560128657, + 868674601, + 477516089, + 339247235, + 887504824, + 756470497, + 241660839, + 238481445, + 495062985, + 346327421, + 474553634, + 634005509, + 758591366, + 639812987, + 641509333, + 963356644, + 581915422, + 291511697, + 146417392, + 107644590, + 164024983, + 113935874, + 70277103, + 276499010, + 704147142, + 290811389, + 687370468, + 327993392, + 965649515, + 291073645, + 14354010, + 491973935, + 360009466, + 828878475, + 787912674, + 809666438, + 542353117, + 716139461, + 95658771, + 288538349, + 225707327, + 667446279, + 461554152, + 173820694, + 519002555, + 572733046, + 217385159, + 524717282, + 149290079, + 46268110, + 474792266, + 285847827, + 177065120, + 795940597, + 219888685, + 68691464, + 826806080, + 660582501, + 243785806, + 676265103, + 353634280, + 686777668, + 877689344, + 146406, + 525909470, + 446635861, + 553838026, + 645170666, + 265462693, + 184941251, + 492412364, + 726302610, + 671216395, + 962286290, + 49071180, + 697555623, + 556431209, + 65057183, + 826246296, + 175892515, + 996807064, + 497394809, + 18250212, + 16064546, + 514847961, + 941906627, + 545833422, + 484063826, + 705236563, + 399363201, + 753670834, + 12420303, + 715184689, + 492931907, + 669378467, + 302560911, + 15566484, + 923400098, + 84124942, + 709460988, + 751517942, + 759120289, + 574267846, + 395827573, + 82244812, + 93928397, + 85801020, + 361395474, + 491415086, + 659493331, + 33915316, + 678096934, + 461421017, + 280891355, + 667487746, + 670548379, + 338383235, + 454761420, + 494544079, + 77013077, + 529891743, + 59873685, + 501809116, + 323518874, + 422865923, + 223917189, + 650421614, + 244055384, + 946045179, + 693624542, + 509264752, + 405224329, + 115986947, + 517690526, + 976839968, + 202849498, + 218278597, + 527519520, + 612062159, + 647326851, + 704874329, + 78992284, + 224490505, + 208092506, + 195580044, + 340328249, + 991919764, + 736067748, + 443912321, + 382550801, + 311519741, + 972487889, + 327248674, + 655142861, + 577152448, + 59997163, + 727922212, + 853651524, + 575376677, + 864002884, + 335735938, + 379578541, + 363037512, + 556739349, + 621314048, + 681017905, + 914789426, + 771568299, + 960138836, + 447869350, + 236850791, + 975086234, + 404388591, + 971964166, + 971035965, + 587045399, + 913332020, + 955976759, + 258478404, + 186458349, + 488735426, + 25074223, + 431183565, + 802236962, + 628825549, + 98508965, + 143636588, + 132232978, + 278528678, + 378172373, + 291136841, + 641551370, + 636243718, + 399949395, + 963192152, + 358493821, + 230843025, + 272852980, + 475925332, + 987546666, + 202974821, + 552994274, + 856462999, + 480114431, + 144074356, + 334646934, + 795749452, + 13102793, + 510068321, + 81856937, + 739383126, + 488614364, + 706949822, + 558778159, + 64592931, + 435684031, + 433423918, + 375067103, + 423686756, + 755813394, + 537816571, + 944202586, + 899323309, + 411801663, + 938907210, + 282107857, + 859377372, + 528873409, + 196097286, + 715222093, + 578778259, + 322255723, + 182808284, + 14650055, + 503418789, + 885936883, + 841151650, + 272201445, + 33150715, + 377697459, + 776853434, + 500497827, + 168603761, + 817208035, + 219448082, + 383876378, + 816024601, + 781375682, + 407947532, + 709362081, + 51017255, + 750619175, + 650860184, + 182475658, + 25155949, + 411745539, + 197704833, + 494774857, + 916067789, + 498825180, + 746454471, + 160626879, + 323687027, + 368311575, + 101001017, + 754429117, + 68496902, + 597400254, + 399664642, + 856562678, + 187035166, + 885647743, + 427791734, + 127376289, + 941213390, + 717081487, + 134663266, + 855996703, + 743806596, + 215940541, + 527616773, + 381564014, + 61564717, + 443654749, + 351002743, + 233026530, + 686092368, + 443696771, + 823751585, + 260498037, + 285543207, + 47762170, + 896332249, + 542293479, + 267146571, + 280455549, + 589415219, + 885206047, + 444711546, + 404064545, + 219437567, + 407848364, + 572953618, + 967122173, + 642521225, + 901684407, + 114826305, + 680331487, + 553702707, + 184474388, + 732810015, + 339289465, + 614671025, + 377957024, + 563232977, + 55177382, + 748212269, + 389068865, + 212182344, + 997448126, + 656256438, + 284286277, + 429762224, + 283790151, + 109116952, + 231965258, + 526485860, + 838742654, + 647611552, + 267004277, + 434562674, + 374165526, + 368807703, + 944453773, + 122274138, + 983985383, + 32251076, + 90709030, + 6178163, + 958493993, + 75441930, + 179706305, + 945694876, + 331332899, + 626509477, + 161760448, + 205067019, + 651424422, + 784711305, + 677992709, + 489865161, + 870118782, + 148009097, + 977666062, + 539762395, + 616927903, + 177280733, + 745522698, + 400781406, + 783668149, + 67335416, + 656836024, + 18810902, + 399749288, + 223386648, + 53896346, + 497905880, + 766917739, + 145373190, + 213456471, + 430689672, + 372764602, + 217989471, + 318320050, + 916170808, + 657230869, + 959893829, + 768817743, + 582928089, + 562140594, + 521875284, + 160444861, + 705365441, + 124779785, + 938499475, + 465606215, + 72564109, + 698130843, + 327263635, + 522245158, + 933147447, + 801936003, + 960931114, + 433705298, + 764935426, + 205957858, + 871981392, + 846754730, + 778835502, + 547036456, + 547517430, + 54152475, + 532186996, + 227588653, + 408883896, + 319299298, + 128293744, + 213893976, + 609889995, + 799127372, + 726698101, + 357892563, + 887069979, + 322390736, + 628669999, + 448857441, + 952191372, + 203568950, + 474592021, + 532123855, + 357505717, + 86284799, + 481774523, + 613729477, + 618149478, + 627571567, + 879481357, + 818908420, + 906286499, + 60453434, + 499206233, + 142981579, + 310963409, + 698843724, + 501870719, + 761222212, + 448494649, + 267652977, + 987617510, + 949261219, + 886749350, + 205257178, + 905975074, + 140979188, + 510024357, + 892337698, + 669116593, + 407921105, + 427914316, + 605863520, + 73739201, + 614928951, + 90883732, + 846370333, + 905712739, + 832660718, + 110279005, + 31611181, + 146533570, + 666985809, + 827729453, + 491718029, + 643907707, + 66275463, + 40245149, + 947524249, + 742212008, + 585539281, + 413017131, + 126376842, + 68298608, + 302393430, + 435165490, + 26503293, + 815130279, + 675087932, + 107881595, + 840086088, + 701234019, + 536094191, + 663501145, + 628963517, + 674939349, + 490033401, + 480056560, + 357135496, + 534761106, + 343551173, + 126017165, + 181289491, + 436525873, + 987046783, + 842060927, + 772013738, + 489829483, + 94951556, + 924378715, + 328252560, + 57945729, + 707601773, + 688590445, + 38068465, + 964651183, + 689954423, + 312671805, + 570087222, + 4196461, + 783708100, + 577469181, + 547380694, + 377396979, + 976275546, + 50225063, + 231305932, + 703428506, + 491037325, + 757920136, + 176553368, + 213119299, + 654831186, + 861242704, + 511429760, + 580217063, + 549329141, + 923004767, + 662464674, + 106632071, + 815057066, + 532364958, + 811617179, + 11415899, + 924602251, + 673184293, + 580930053, + 469075104, + 744826072, + 991461777, + 165783116, + 660852531, + 222398158, + 681091170, + 580310921, + 897468129, + 573196333, + 377011076, + 866933702, + 94957456, + 654443792, + 516010221, + 436067520, + 462676445, + 271067994, + 622348445, + 929746934, + 82795144, + 186849365, + 636331910, + 810786423, + 891215067, + 235074652, + 818281839, + 600809112, + 494809589, + 312679942, + 495111688, + 457232182, + 100237761, + 980059424, + 101457023, + 25434915, + 918915723, + 466475446, + 851747177, + 850186393, + 406409027, + 604995180, + 423222026, + 644984426, + 13344909, + 594926983, + 281135623, + 575613213, + 143434178, + 570874040, + 844693516, + 304963158, + 71384940, + 777924505, + 553768787, + 555998765, + 810429914, + 740219772, + 358643796, + 937987367, + 238534992, + 450672347, + 231136336, + 567142847, + 924525168, + 203363500, + 368753888, + 688525299, + 728077826, + 472448062, + 819092077, + 669581611, + 275204072, + 237889087, + 230810420, + 431084982, + 370064776, + 373005663, + 347771227, + 234327802, + 332983457, + 652105844, + 360514010, + 556542337, + 10147344, + 300854960, + 579673019, + 967773822, + 5061648, + 640950783, + 160225112, + 981163323, + 440299434, + 198895116, + 962695923, + 887167356, + 401125764, + 913222003, + 722829407, + 443017177, + 904678506, + 484697212, + 824306126, + 768316575, + 557596878, + 847460751, + 902474580, + 984162744, + 744786179, + 530084082, + 650226794, + 207719868, + 425547564, + 661845087, + 4202024, + 998474523, + 700223810, + 677454576, + 688623029, + 973524347, + 273813171, + 77049366, + 386674742, + 321718848, + 73126696, + 159045761, + 975041048, + 287943488, + 331863, + 564894412, + 462465371, + 86757553, + 886476080, + 733549533, + 150858886, + 151253206, + 985998664, + 779129542, + 858114908, + 464304222, + 689722461, + 236188111, + 381126197, + 213900298, + 773876363, + 682288412, + 47755546, + 424620579, + 376237295, + 117447917, + 471973733, + 775410769, + 91189318, + 908560458, + 927041561, + 689920918, + 178431799, + 735294980, + 343870465, + 50622121, + 994204988, + 656578217, + 384720935, + 353373236, + 290282050, + 883463752, + 691866859, + 781417317, + 103461182, + 790352454, + 156774538, + 891412624, + 782563109, + 636679896, + 657163827, + 970509203, + 355676476, + 107867198, + 181748163, + 603035328, + 387066665, + 191913258, + 337674059, + 654576829, + 659434937, + 882076997, + 172882733, + 144058809, + 432209540, + 920321977, + 880734291, + 663049804, + 280640122, + 223307983, + 477189228, + 57743957, + 184148008, + 550592555, + 655332321, + 459514678, + 447750874, + 835825826, + 195713025, + 327924150, + 806954875, + 983552781, + 955585627, + 75462159, + 291452025, + 290376332, + 137069054, + 495191391, + 292913784, + 133618992, + 673366011, + 867897718, + 14458914, + 73544545, + 174117416, + 474654290, + 822132777, + 219237344, + 56395630, + 572974578, + 871179828, + 435778036, + 833641906, + 938768188, + 408050350, + 670048894, + 190147219, + 516573021, + 75955534, + 876212394, + 451993310, + 288853045, + 971754122, + 409299900, + 316436432, + 31281853, + 80854520, + 968680807, + 391411434, + 472437088, + 320679758, + 97711674, + 907321343, + 326732154, + 981552670, + 853563899, + 85923257, + 517251147, + 123159103, + 905735440, + 197484120, + 706303914, + 831029485, + 292621305, + 930117004, + 170322072, + 1451031, + 751647768, + 827842293, + 779303957, + 883355738, + 863950698, + 270877430, + 678004121, + 568426440, + 182022039, + 66096857, + 222584827, + 910570598, + 253920297, + 592605502, + 170920579, + 45814838, + 124226994, + 140398329, + 42882377, + 256927901, + 674316016, + 719676070, + 226549176, + 11413944, + 107540639, + 290947814, + 154681172, + 423066585, + 96694517, + 475559748, + 597858790, + 39523571, + 753315665, + 432960009, + 324412630, + 39941460, + 230910863, + 625644984, + 159514532, + 711582166, + 372861225, + 243025423, + 756247067, + 947600046, + 600495254, + 510616868, + 540605049, + 586998267, + 178145421, + 556165169, + 835514976, + 357998798, + 921659492, + 595194740, + 284526486, + 498230054, + 81887986, + 734638769, + 415490919, + 370768014, + 160930014, + 551054869, + 118738689, + 977282961, + 635958283, + 139081463, + 618968018, + 178288673, + 419344581, + 175872018, + 553313499, + 673768710, + 502102987, + 743831052, + 351425820, + 721841848, + 355656116, + 877967229, + 67586381, + 872478608, + 734120876, + 213556123, + 626422480, + 806426276, + 8533743, + 65624911, + 323007104, + 295083069, + 777262720, + 561130735, + 308571208, + 859555744, + 580233179, + 224206956, + 935131746, + 856462359, + 324836846, + 489028860, + 563133917, + 690292593, + 805508480, + 48644829, + 154553615, + 638010934, + 334023946, + 310775952, + 643884000, + 903596127, + 276398816, + 415785319, + 772946477, + 889207549, + 847574860, + 912821164, + 687214721, + 892911747, + 971530236, + 458006319, + 999285012, + 734345478, + 966931708, + 32196913, + 924093083, + 40032900, + 584028513, + 512259044, + 269882359, + 852076481, + 44159930, + 241493807, + 53534923, + 900197608, + 116736536, + 229730240, + 355010463, + 153302907, + 828080925, + 344681876, + 973570927, + 135014198, + 450232366, + 994370714, + 830517604, + 730779447, + 72758679, + 977686320, + 755868190, + 400719737, + 531829834, + 835231642, + 914306996, + 364252675, + 650669536, + 226398179, + 193801001, + 594746679, + 659612404, + 78599344, + 601840387, + 959042846, + 3593329, + 164763455, + 465652679, + 586344829, + 327547980, + 168033214, + 683695410, + 644717243, + 460290537, + 412174056, + 776394047, + 676593592, + 721088692, + 352088361, + 277176946, + 59035524, + 647973077, + 127043513, + 748166083, + 829104130, + 124556120, + 117487496, + 898184159, + 162733398, + 670755398, + 952928597, + 992506320, + 185933914, + 622468397, + 726768975, + 792923651, + 407354109, + 748366826, + 800644806, + 13259317, + 832988454, + 332683215, + 67486443, + 611890433, + 895992806, + 42756341, + 287398524, + 812907700, + 783511747, + 976194021, + 270490897, + 448563858, + 16384316, + 150083744, + 88229732, + 331283155, + 58272910, + 395169049, + 661168113, + 427455244, + 443870314, + 145795886, + 241637839, + 915088316, + 778888339, + 381375911, + 821276925, + 889107782, + 69429915, + 921664259, + 21584389, + 233733788, + 704612078, + 672369191, + 302167687, + 903548069, + 241680092, + 732217842, + 847501183, + 175800560, + 405097782, + 473402447, + 268748298, + 947225478, + 11485582, + 407885025, + 155378487, + 490478649, + 484480737, + 423734127, + 645177310, + 5614874, + 59463219, + 271107793, + 437826279, + 758097756, + 746215433, + 25182883, + 679955516, + 726533363, + 418057249, + 947260191, + 936827032, + 104643285, + 564947833, + 944820637, + 673026729, + 219734433, + 603601681, + 77859228, + 694549492, + 644984885, + 288437332, + 2630825, + 161857492, + 280522076, + 962397920, + 282710295, + 810616234, + 238022161, + 311801009, + 839549629, + 916465202, + 935837143, + 491427845, + 721997496, + 114910220, + 227044834, + 905026533, + 856223337, + 662998693, + 239338832, + 376604275, + 48928132, + 409999942, + 79037396, + 648270923, + 740942328, + 197757434, + 517099279, + 66937382, + 165722643, + 340981600, + 644988498, + 757964940, + 31182121, + 166160746, + 318413933, + 126790419, + 73517148, + 947675065, + 330392616, + 486677776, + 552707738, + 369178353, + 325559411, + 227255557, + 426598780, + 79598008, + 658421447, + 719989849, + 832898372, + 991998232, + 228697576, + 320091020, + 298070722, + 309736670, + 982674958, + 643747743, + 199700721, + 426028930, + 873823380, + 616841419, + 839525840, + 252240671, + 239218570, + 612967749, + 33086165, + 186633748, + 792935216, + 114191137, + 855715709, + 54073383, + 479010860, + 847887282, + 167394413, + 760566387, + 659029831, + 678836208, + 522807816, + 413653999, + 846515069, + 20731046, + 744854876, + 887079695, + 669920084, + 541162093, + 729661147, + 543987797, + 707093381, + 562515484, + 530241580, + 940280173, + 924398603, + 592178729, + 498747025, + 77434759, + 247287280, + 407225108, + 125977137, + 226375793, + 375692428, + 355238728, + 116875334, + 138125031, + 770337811, + 592872960, + 229668288, + 207143249, + 328067047, + 93483923, + 145703746, + 194892898, + 770042758, + 589633516, + 344032296, + 651916448, + 520051419, + 643368480, + 162620108, + 229220017, + 725622271, + 423294919, + 607072860, + 389973348, + 624765890, + 287219607, + 968113313, + 275549649, + 638752601, + 83833629, + 498945677, + 929150992, + 88918062, + 796274246, + 637146520, + 656363185, + 62002492, + 409769165, + 789503215, + 610269558, + 373023663, + 171912114, + 295789406, + 585720101, + 188608993, + 743722589, + 349157368, + 251608950, + 110503759, + 566395441, + 749243458, + 24468040, + 796337956, + 424551392, + 819773960, + 51906614, + 794992948, + 693737022, + 430599374, + 960947138, + 958160333, + 195284029, + 592252826, + 404025209, + 28978628, + 532353705, + 92051673, + 17589498, + 406022430, + 295331916, + 101545855, + 746627514, + 483860413, + 696192671, + 892677910, + 644971288, + 943348529, + 268030503, + 215791961, + 702664315, + 696329767, + 636442178, + 693780603, + 811358108, + 145702639, + 628804316, + 887904474, + 28018554, + 474064015, + 469423011, + 495654095, + 595102715, + 337689682, + 885999955, + 324912193, + 490848807, + 338402429, + 612603894, + 295959891, + 321629190, + 414224610, + 484124926, + 122026768, + 470011174, + 643504441, + 571739250, + 638083871, + 93385071, + 74363955, + 839211711, + 349201206, + 324891197, + 473950778, + 672197561, + 869943020, + 165209594, + 944135966, + 894506104, + 577748886, + 962629671, + 469724352, + 532721182, + 525334372, + 639015202, + 310740986, + 756080540, + 703390087, + 205255663, + 229079749, + 104470601, + 547485253, + 47092430, + 210297865, + 810317993, + 851470973, + 281052350, + 51790877, + 57288198, + 542258594, + 145007480, + 412635563, + 739348492, + 480984922, + 24993312, + 352368606, + 207272281, + 265226849, + 349885097, + 916680719, + 346433846, + 271365567, + 627740781, + 480155433, + 200892994, + 555121210, + 379628605, + 500308860, + 459101155, + 801364750, + 806817172, + 928046396, + 963668979, + 837469462, + 171580551, + 359178515, + 841493430, + 174146620, + 307255480, + 696000907, + 933890120, + 353864035, + 554375827, + 336576450, + 992055115, + 557539596, + 596911209, + 750241259, + 877071220, + 108272835, + 615695197, + 761056628, + 778622376, + 395949167, + 864082239, + 313657380, + 953595264, + 505846582, + 13432831, + 379843509, + 113183095, + 26274154, + 90056193, + 885490865, + 816094269, + 649225544, + 621445084, + 129340007, + 513264101, + 26060418, + 448153470, + 436790701, + 791402053, + 436831108, + 638304686, + 360063654, + 293130869, + 626846666, + 809271853, + 177242942, + 589169206, + 57802368, + 770326836, + 232324722, + 78006417, + 546066793, + 538656419, + 179156844, + 725003957, + 210716559, + 707489757, + 550685148, + 625065163, + 798789356, + 808385706, + 784756305, + 188565571, + 892042656, + 565092306, + 53136525, + 881686314, + 30427062, + 811735117, + 108738575, + 188278110, + 738501707, + 463946400, + 850822605, + 423195889, + 261744295, + 86729515, + 251776316, + 1476700, + 57593647, + 636696605, + 546524875, + 27047499, + 720356409, + 212087146, + 923676985, + 835518567, + 446592452, + 287885011, + 847428139, + 545974766, + 342262176, + 557119689, + 720604557, + 359559450, + 491212785, + 181925919, + 431545865, + 217250169, + 227058321, + 107582155, + 292975769, + 115081730, + 675266800, + 771992595, + 340695168, + 4571430, + 628150709, + 358317095, + 829515425, + 170052032, + 939727438, + 722403037, + 769623847, + 204464121, + 544555392, + 669854412, + 994835790, + 434218090, + 810848954, + 847343525, + 994345975, + 627718764, + 976263102, + 665542642, + 882363533, + 257631331, + 83810873, + 952009911, + 264682472, + 346300476, + 239173095, + 655900044, + 95025082, + 489721917, + 327987912, + 272752433, + 969336669, + 198814581, + 280957965, + 612010436, + 382696924, + 612953474, + 55769811, + 489587760, + 49890806, + 63175779, + 497051549, + 362479590, + 49500275, + 639783825, + 322234134, + 964491970, + 838981261, + 335918080, + 3049553, + 90439112, + 369800296, + 350540106, + 53042905, + 252465284, + 215550432, + 410267679, + 26804611, + 304243864, + 212804762, + 31491545, + 884518773, + 206424418, + 116351655, + 414447643, + 26784291, + 779267608, + 546929528, + 890717919, + 949590142, + 601585143, + 335157813, + 572328552, + 710654198, + 783192292, + 677879400, + 181293267, + 408197390, + 214268964, + 915120990, + 24437114, + 994148373, + 648423533, + 651088501, + 200851469, + 246332794, + 688318717, + 732592513, + 347025967, + 795603875, + 396831528, + 413514542, + 789562055, + 367867572, + 764231259, + 843564887, + 149314158, + 424723477, + 103946826, + 609697033, + 970277978, + 651523993, + 584122484, + 746759651, + 140585654, + 610389669, + 385761215, + 6816276, + 990874898, + 317968933, + 4300163, + 993660975, + 420220970, + 339996748, + 680936970, + 976462920, + 318245685, + 863611434, + 346394132, + 868325616, + 876951122, + 700509864, + 729802347, + 256442269, + 445867223, + 330909457, + 774495126, + 809545999, + 196739552, + 58636696, + 347831760, + 449609426, + 642752726, + 182870380, + 503196977, + 366086209, + 612263548, + 636585107, + 104478681, + 406703421, + 265892892, + 545955391, + 773405840, + 344114510, + 249223533, + 652869507, + 714568227, + 29548069, + 374599324, + 907401917, + 872390550, + 636035012, + 639521042, + 309292200, + 965735296, + 297648331, + 935902293, + 812860617, + 400828478, + 857969447, + 200187156, + 362818649, + 804370575, + 379686695, + 24325680, + 422843978, + 106230185, + 702456353, + 786507593, + 127375121, + 786796965, + 582864695, + 414896579, + 387085119, + 212789607, + 985957380, + 21811430, + 536685967, + 186326108, + 87599311, + 744919198, + 664327528, + 364516699, + 947549106, + 725874350, + 340543415, + 310038303, + 350268706, + 647328031, + 590026275, + 734978871, + 616625415, + 282451690, + 87242078, + 820695614, + 66249954, + 251188338, + 899511248, + 439506457, + 809002333, + 675676403, + 98773780, + 221955881, + 821644928, + 869704863, + 199764320, + 59090726, + 354073375, + 251073441, + 324727590, + 747798506, + 446019795, + 96366819, + 580892467, + 72283387, + 809536546, + 142792452, + 23063445, + 205308577, + 361745710, + 124583837, + 838826915, + 373965923, + 833283341, + 103174692, + 685341827, + 643235569, + 183934113, + 858340764, + 263006362, + 690667906, + 93318394, + 504727090, + 479247616, + 745960932, + 322066757, + 201900100, + 656211252, + 618132798, + 26984289, + 101130706, + 845257592, + 817423157, + 22642397, + 233911651, + 493337831, + 514954956, + 423176889, + 234112003, + 978597216, + 648106405, + 613894491, + 213521853, + 357625992, + 213407606, + 326015936, + 578176873, + 822360723, + 29101865, + 508238509, + 199795038, + 374071251, + 104880182, + 220221565, + 645537045, + 19338948, + 654863953, + 649055226, + 859526981, + 59752839, + 944419755, + 826540483, + 859959596, + 175067963, + 555349538, + 93397922, + 365111928, + 139138283, + 221288289, + 19509823, + 591255377, + 150285675, + 459268987, + 53618970, + 189319722, + 238074825, + 401920241, + 411059330, + 248301442, + 851720795, + 605229376, + 892624985, + 320253725, + 958272538, + 108478551, + 894424464, + 938096034, + 991799076, + 284599132, + 665386127, + 552082748, + 362600338, + 976339152, + 791297660, + 725624404, + 700087112, + 603878181, + 271581949, + 512095655, + 220470568, + 253787676, + 796269055, + 755028543, + 338140418, + 747596480, + 863880296, + 943201355, + 918061271, + 79053128, + 338881953, + 9081365, + 11288933, + 213135352, + 697147634, + 134808322, + 783965535, + 359345895, + 668077426, + 803443816, + 450340836, + 161247429, + 825742210, + 506798694, + 127936740, + 365843319, + 520758918, + 111231319, + 387271471, + 523767808, + 630935701, + 584065657, + 336774332, + 711839397, + 425899687, + 465335455, + 809618613, + 856710290, + 262620597, + 107370020, + 919899960, + 451111013, + 561001351, + 32318571, + 115846721, + 636422643, + 771585669, + 91614779, + 53189063, + 990390442, + 325352811, + 472546845, + 451670257, + 239352956, + 899108669, + 299915465, + 841165349, + 250692287, + 456668930, + 612483531, + 117447918, + 355553164, + 752999524, + 246822276, + 943353160, + 47883680, + 29550445, + 761110392, + 767017225, + 914023061, + 497307864, + 631915439, + 378182874, + 989392710, + 826951470, + 302813039, + 416635059, + 486737377, + 176462286, + 775208669, + 347224390, + 885521652, + 894369452, + 826953821, + 204829552, + 414302159, + 350741366, + 318675315, + 879093110, + 329158064, + 828839817, + 825000262, + 157648617, + 731061109, + 283159342, + 74515075, + 159201577, + 399645390, + 859472894, + 362233241, + 357255939, + 208011746, + 992326065, + 389319851, + 74455506, + 143157336, + 847866410, + 464039829, + 590305087, + 769077384, + 566004365, + 197817404, + 49667255, + 363483343, + 883090186, + 836703876, + 875644927, + 788724457, + 325214736, + 594693127, + 958596513, + 195357870, + 321453787, + 730176888, + 382555283, + 506876378, + 458945136, + 526744585, + 398311317, + 441195891, + 613804006, + 419083439, + 736327674, + 658463933, + 5633086, + 97118524, + 446769171, + 445586549, + 749607371, + 46491280, + 815018369, + 602032616, + 780432502, + 889328059, + 365181401, + 333819662, + 97887074, + 588502803, + 882799226, + 994805247, + 623139999, + 18887330, + 654823028, + 265933125, + 855193598, + 15529935, + 857278321, + 890238930, + 2211453, + 627997816, + 400293473, + 568016872, + 274704439, + 68259449, + 653209318, + 426292959, + 604046609, + 541701664, + 76649200, + 122529380, + 610818132, + 576431272, + 842052783, + 210587903, + 39615934, + 195133333, + 579085203, + 113464331, + 287995784, + 865650145, + 384464326, + 613972442, + 374532436, + 272227285, + 199013954, + 344109365, + 288150074, + 492777376, + 665766287, + 312029956, + 329880495, + 402464948, + 232834912, + 488477323, + 726379989, + 424518919, + 582775104, + 689515607, + 621387736, + 546586505, + 51449919, + 487121293, + 524931594, + 116978778, + 376668309, + 86093936, + 178621492, + 100899089, + 86888327, + 382364018, + 348792781, + 202202168, + 193059820, + 330811292, + 899214312, + 187418097, + 261142950, + 933235950, + 830926532, + 526476853, + 607071966, + 834430659, + 774096530, + 833643020, + 908847992, + 506477803, + 530479497, + 551860801, + 933646262, + 919731471, + 277726924, + 423506136, + 949354009, + 302337558, + 941144680, + 526088782, + 736571885, + 163882493, + 608456314, + 623724135, + 262489509, + 46537034, + 751123661, + 714699609, + 480313820, + 480165022, + 656834560, + 972208853, + 93977586, + 140078264, + 982184042, + 136362190, + 279210853, + 66380676, + 43599452, + 906836065, + 864645313, + 561467839, + 298228927, + 451695698, + 796878249, + 533277586, + 283679018, + 198293550, + 579937395, + 832247153, + 314436145, + 745965929, + 926979422, + 828604683, + 745110878, + 595126806, + 395345738, + 760784274, + 535752614, + 227754074, + 624854533, + 998043424, + 214348214, + 575537348, + 742409631, + 929983220, + 645594268, + 168945797, + 733310260, + 999875050, + 573879437, + 524325796, + 495049013, + 389185392, + 266943510, + 531430334, + 806159228, + 270891412, + 528881370, + 252888708, + 557167706, + 854765721, + 741916282, + 853940592, + 944229020, + 655939417, + 988348132, + 516283167, + 536476930, + 398372919, + 668683561, + 453125958, + 594047740, + 340770898, + 843865097, + 865147722, + 551607995, + 119944440, + 928420640, + 876788069, + 435683758, + 576878743, + 10462514, + 783182946, + 921927987, + 257402070, + 688573402, + 300786675, + 866764579, + 990863808, + 760873133, + 476312504, + 557423240, + 437398113, + 536064652, + 631668914, + 173998625, + 169017583, + 192582323, + 701443609, + 188417260, + 472086368, + 306801146, + 186577692, + 689787528, + 773083813, + 264427360, + 598786886, + 884536244, + 288544343, + 158744152, + 145559446, + 821120847, + 340032588, + 177474826, + 896841866, + 707478261, + 956324675, + 453953335, + 860971386, + 161150820, + 22911003, + 603431639, + 840870628, + 285462255, + 695397145, + 519356478, + 745148402, + 316374780, + 34500997, + 580164695, + 792532503, + 310838113, + 254944989, + 618074788, + 570457721, + 844704717, + 759102768, + 942142823, + 562386241, + 474830030, + 960364846, + 154692015, + 569276462, + 664103654, + 443304004, + 897685732, + 682258696, + 668387643, + 713256899, + 763204567, + 71115229, + 7213068, + 654370875, + 733166965, + 347400182, + 968136389, + 566121767, + 654016069, + 663592356, + 317119817, + 197197978, + 735392655, + 890560168, + 145524099, + 931403758, + 945848294, + 356582002, + 812911737, + 242741590, + 221002186, + 406259175, + 301572002, + 109757381, + 689807517, + 255527424, + 312912606, + 281699109, + 751182063, + 377284844, + 134515739, + 18666806, + 541261426, + 945266428, + 258816166, + 270882952, + 529638692, + 462675800, + 474557723, + 692996398, + 995542515, + 388623380, + 654047332, + 201812463, + 305225261, + 517561675, + 849260915, + 376990725, + 916939753, + 942904646, + 620807047, + 502572473, + 543738333, + 600301356, + 518610968, + 677796078, + 674994425, + 709406320, + 414878354, + 242518799, + 638214957, + 629995597, + 967806692, + 751072064, + 862141043, + 62535368, + 496802197, + 654691817, + 514360716, + 987057274, + 529733831, + 857728253, + 624501902, + 512646422, + 762655724, + 126530142, + 405594466, + 24608412, + 686532447, + 999637558, + 535136506, + 993932355, + 359863206, + 401562335, + 97354001, + 70127689, + 925344515, + 375449756, + 562958155, + 809119620, + 523652620, + 10601431, + 511037241, + 98279126, + 382927356, + 455525071, + 521840141, + 129699738, + 712794374, + 324162837, + 344209813, + 18426786, + 37272926, + 466814875, + 412962603, + 62989020, + 67339265, + 153653277, + 833448077, + 599661078, + 695243029, + 399875064, + 216277408, + 469054495, + 230969145, + 721162904, + 1632023, + 302055744, + 127735354, + 830739298, + 323052937, + 767936878, + 828396673, + 606731519, + 156032932, + 76729851, + 529794149, + 775862821, + 496585677, + 108762847, + 430433844, + 928825752, + 119897268, + 196459274, + 729353908, + 948014486, + 912632056, + 891045239, + 417340153, + 375219130, + 364654577, + 834522376, + 907579761, + 842191780, + 237192210, + 769837047, + 748044303, + 766608343, + 433715069, + 996314049, + 251544301, + 988673609, + 202076849, + 837304172, + 408329160, + 224665171, + 86370235, + 687246211, + 562362123, + 284717347, + 658176759, + 435712690, + 548271244, + 723236726, + 844916274, + 397040420, + 736281957, + 882649858, + 69838106, + 257853912, + 26449098, + 875521300, + 78911375, + 212888899, + 860058849, + 684994309, + 912519492, + 698141324, + 699511065, + 663688739, + 638699032, + 644088894, + 561144309, + 538883126, + 444637533, + 573678613, + 780745947, + 561714860, + 386280551, + 654718379, + 848767583, + 658585617, + 909966016, + 570635179, + 674765762, + 922629753, + 653746470, + 768942574, + 588097820, + 620924827, + 756988819, + 316604572, + 448318074, + 329043964, + 967887450, + 901264944, + 964092753, + 478918993, + 572251209, + 841787440, + 518649722, + 466232644, + 577900293, + 53287648, + 327789205, + 712512244, + 866694218, + 34906200, + 127173555, + 650256332, + 628850204, + 711503396, + 159349969, + 211399306, + 984577743, + 960206552, + 542659546, + 714748279, + 612596517, + 810006895, + 212746894, + 259052267, + 40123914, + 242185201, + 339001309, + 222369090, + 834656066, + 583003782, + 585006072, + 136588829, + 46750646, + 127640092, + 215998045, + 154363517, + 862652611, + 717993634, + 358042110, + 658545108, + 705763907, + 96293871, + 303464049, + 74077771, + 706438795, + 842172990, + 467188500, + 255279388, + 230027553, + 166330715, + 874737558, + 934948426, + 600382171, + 329320114, + 783823181, + 809446958, + 213856580, + 46425793, + 630285539, + 979916109, + 158248514, + 977329075, + 937703705, + 695222667, + 916842092, + 278288211, + 106921477, + 337161531, + 211114768, + 690118794, + 422319317, + 481001106, + 790498656, + 116198171, + 226095580, + 718998131, + 344260487, + 505281505, + 711404659, + 192081921, + 875992270, + 163162754, + 853402514, + 895954564, + 267026867, + 680028050, + 283566021, + 862055172, + 267708724, + 944188127, + 153847435, + 428940182, + 226849216, + 164519634, + 657038017, + 295906429, + 675006941, + 797319203, + 585728514, + 249265901, + 981698857, + 682959936, + 157553022, + 33448524, + 233862289, + 555417076, + 248255717, + 409689794, + 640730346, + 563725998, + 509490886, + 634342765, + 715622188, + 295793632, + 507569267, + 878718442, + 915106893, + 777646124, + 259927599, + 214175861, + 108409662, + 534996264, + 934230592, + 321512747, + 264541297, + 143601708, + 427620548, + 849091917, + 654014744, + 883879304, + 125879069, + 531816815, + 199888696, + 621927786, + 534419185, + 769659899, + 506219293, + 681892880, + 508429200, + 444921379, + 27655085, + 355821095, + 18443445, + 664336474, + 269653739, + 998576801, + 706100131, + 317406953, + 993081647, + 98186393, + 301136272, + 330229587, + 690805002, + 373484147, + 709585198, + 25071891, + 611274099, + 401039619, + 731155963, + 501833731, + 881241491, + 569113281, + 644964605, + 914500991, + 660176555, + 868513974, + 533480233, + 928178084, + 469908490, + 760695401, + 996692376, + 875316291, + 137806082, + 394487762, + 238350401, + 303875954, + 392351625, + 664332381, + 223470415, + 212683354, + 94207701, + 311732941, + 898328600, + 217607037, + 275711302, + 540430686, + 541215032, + 428258966, + 931571524, + 169143644, + 260980594, + 943158186, + 36436097, + 120522238, + 576571200, + 230244450, + 977600690, + 245945106, + 408987293, + 50849287, + 628882463, + 561710948, + 128119738, + 764016086, + 295988697, + 923683925, + 723441488, + 810206014, + 243099984, + 294925377, + 260394529, + 256007138, + 429523957, + 45164716, + 831581603, + 811116764, + 767905686, + 272842009, + 583770718, + 376688831, + 176847554, + 921567955, + 992850863, + 607157447, + 301527057, + 843740211, + 459574927, + 451719134, + 477465206, + 584258544, + 223671821, + 164569055, + 394574241, + 953715739, + 40840227, + 510136511, + 351822209, + 650709998, + 567513660, + 881630854, + 66958846, + 580568440, + 351643460, + 2099925, + 648438021, + 48322692, + 788162427, + 310043681, + 334245154, + 219534041, + 734981263, + 523700396, + 76075684, + 429370726, + 404808006, + 954816440, + 15731953, + 839329545, + 941469543, + 112732353, + 960092836, + 44191065, + 489039790, + 489986909, + 673696658, + 361112995, + 83847255, + 364733466, + 894151709, + 597770862, + 222124532, + 281981457, + 802159731, + 906958894, + 433381510, + 711308859, + 845243298, + 39953120, + 763736837, + 318989595, + 676867411, + 815311150, + 716495258, + 606506464, + 950103600, + 171050626, + 145110590, + 456709425, + 441232135, + 904219448, + 68752491, + 213781355, + 471956578, + 607797669, + 776335771, + 957152920, + 590817187, + 167986493, + 513498403, + 41728980, + 213389439, + 726850715, + 410522034, + 443920041, + 920936789, + 129744258, + 948288781, + 261396922, + 635887681, + 348907669, + 336285731, + 409907623, + 345474550, + 3328200, + 647466856, + 3405175, + 774581220, + 534281775, + 228316053, + 4277200, + 548194845, + 257996715, + 633301746, + 317558208, + 937726815, + 967125705, + 371533327, + 793322228, + 660127797, + 395676001, + 115139502, + 34121656, + 125196206, + 963593604, + 899521848, + 121349475, + 627798519, + 828233481, + 922783698, + 253614824, + 1399298, + 211589680, + 672379005, + 389427320, + 546329663, + 325368348, + 71930994, + 689837699, + 78081434, + 697573654, + 98687642, + 613299491, + 80765, + 898989444, + 785096225, + 481496534, + 77023232, + 732831625, + 759755941, + 477196835, + 877380048, + 635608718, + 862857266, + 941568303, + 808149499, + 647295484, + 402059303, + 812582093, + 625739890, + 188503984, + 938150679, + 872550892, + 676283364, + 759479791, + 926559881, + 339858017, + 684651326, + 159207433, + 275938050, + 480643844, + 247774189, + 668777575, + 975223347, + 635884255, + 105273987, + 835898508, + 93187971, + 655379640, + 558513782, + 886270197, + 539758705, + 852007039, + 260911558, + 230352600, + 565961989, + 446564535, + 7084830, + 654888808, + 300162985, + 690374724, + 3280115, + 572680241, + 277300791, + 573874920, + 738328538, + 602700555, + 568152660, + 316479593, + 502250378, + 192109818, + 443693427, + 350247134, + 886552074, + 376574603, + 173126423, + 394505777, + 826584361, + 153144424, + 264776787, + 621476235, + 512454377, + 3738976, + 796436970, + 118206086, + 645377536, + 999918455, + 459693886, + 528716796, + 604645404, + 203296476, + 993094576, + 133124985, + 726783690, + 415528556, + 595507650, + 966559974, + 389304098, + 819316573, + 362451410, + 818716739, + 681326665, + 462236656, + 911893248, + 160490517, + 292987790, + 623216348, + 691524985, + 21282196, + 235700793, + 728332948, + 35574266, + 618965399, + 361770139, + 232263810, + 875044449, + 37239105, + 130338016, + 742368068, + 679587176, + 930161847, + 523959443, + 768337693, + 708865905, + 249054073, + 921472587, + 272700100, + 871895963, + 762862963, + 110941213, + 298250714, + 341775298, + 651521343, + 210532584, + 588576505, + 314370522, + 970077230, + 500793136, + 792331347, + 248382699, + 550666258, + 923304774, + 716874477, + 334882335, + 505598672, + 771838256, + 76710630, + 359140795, + 238443165, + 997277970, + 495625016, + 558969856, + 780675354, + 914326854, + 837936789, + 304522113, + 459364168, + 698059202, + 379209966, + 565189139, + 125977475, + 137881655, + 252726569, + 458614942, + 378076602, + 538776931, + 735037545, + 342830234, + 123312590, + 777895380, + 118497027, + 195743061, + 831039823, + 702993485, + 455540683, + 401151396, + 313721505, + 433112671, + 304928121, + 718632749, + 848310209, + 965677393, + 900456869, + 369774775, + 60678706, + 538326045, + 271443035, + 226437671, + 795103013, + 233632074, + 972448850, + 633088865, + 889329193, + 82316274, + 445336957, + 563612400, + 6125396, + 703265543, + 281175531, + 349980359, + 189096690, + 844968034, + 856910016, + 794241778, + 29484886, + 143158321, + 501075354, + 7593763, + 637741162, + 127639540, + 33479831, + 924942728, + 575132802, + 457321009, + 997531224, + 818682401, + 364469911, + 242777803, + 529874430, + 196858582, + 510807603, + 902833081, + 952209372, + 693003218, + 675577097, + 906770537, + 287775036, + 100080705, + 409976650, + 436012202, + 262427339, + 330448916, + 908381761, + 371841564, + 2993233, + 904530352, + 631976794, + 648679439, + 113099499, + 134989150, + 499182890, + 518418177, + 617313033, + 684211293, + 243540669, + 31061982, + 453998280, + 146309182, + 335487050, + 2435793, + 74808891, + 459797696, + 575280952, + 8431804, + 238028934, + 689970467, + 332412037, + 126413059, + 246384521, + 465021681, + 238149443, + 63334026, + 412946045, + 774184314, + 706034535, + 506044032, + 71510490, + 414319573, + 57686554, + 149576807, + 985627493, + 994231763, + 246527305, + 470812988, + 421850623, + 372112556, + 196514504, + 998276032, + 689628312, + 85107620, + 959040471, + 707317447, + 36066606, + 962470937, + 96108377, + 280797382, + 989074134, + 481814049, + 38881716, + 866572730, + 246604663, + 683112771, + 94794718, + 912630219, + 622981719, + 64030758, + 755678918, + 626759532, + 984531147, + 148484154, + 607461880, + 582093347, + 915258144, + 463617203, + 620033451, + 144763228, + 517164274, + 597997610, + 286002728, + 131194508, + 806020914, + 134977511, + 331594722, + 234530879, + 685140102, + 599581550, + 13921044, + 786099302, + 939115889, + 713845223, + 615439314, + 3056149, + 524743327, + 308006006, + 79585517, + 756251991, + 488681577, + 520432809, + 742501695, + 840603525, + 607457126, + 9032869, + 736181676, + 576372310, + 430834993, + 511055207, + 890082076, + 538322835, + 641968612, + 157906813, + 59785723, + 618597577, + 314499223, + 276903565, + 960190646, + 187770211, + 28830928, + 296188716, + 870328814, + 699189064, + 18529220, + 77135781, + 539387204, + 293293081, + 2875092, + 776142305, + 973250512, + 404912103, + 323232984, + 912343031, + 824860048, + 898073763, + 53422853, + 162973704, + 604976211, + 98516591, + 466546908, + 279903736, + 796349595, + 21298746, + 800488063, + 667929277, + 180840061, + 64362928, + 239592858, + 805329116, + 283860344, + 261185299, + 903495407, + 992625764, + 845922289, + 277733255, + 365162077, + 493042932, + 625476587, + 401777150, + 519159229, + 951960319, + 315089823, + 781842776, + 835292561, + 159572455, + 539149920, + 639245933, + 630777700, + 463612003, + 63938110, + 878786456, + 428806237, + 86905547, + 451933259, + 429984010, + 702450340, + 206838074, + 799273837, + 866397174, + 718791201, + 4915113, + 766460382, + 909762215, + 517302875, + 330628979, + 270416584, + 478453085, + 921684272, + 818532182, + 479583298, + 549919042, + 699672828, + 232205802, + 408378424, + 67831850, + 881224621, + 777306304, + 927162801, + 149829690, + 145503039, + 407025343, + 878488463, + 855403693, + 765747957, + 46150642, + 197488955, + 288739236, + 731409886, + 692096972, + 89204612, + 769719261, + 991719914, + 25749662, + 217857567, + 416524186, + 175795123, + 242853201, + 506897447, + 600329853, + 366103718, + 17014783, + 186816695, + 472198647, + 425157877, + 519261838, + 215527010, + 764403876, + 685628150, + 338518515, + 706276134, + 735569729, + 325749341, + 623606790, + 970033856, + 382555381, + 848831845, + 184326136, + 690021367, + 885321738, + 364886568, + 284670940, + 800698591, + 640430016, + 566938260, + 764390867, + 816248013, + 40968170, + 246072912, + 619745477, + 223854093, + 290632013, + 809211290, + 411699931, + 263295209, + 488329079, + 917850834, + 485923725, + 945872920, + 591837066, + 22547031, + 691463762, + 256441290, + 44656969, + 566962176, + 337721091, + 693439058, + 588412704, + 287860921, + 776057357, + 240827689, + 685597643, + 457719875, + 476093981, + 815397454, + 295233221, + 941408753, + 240009493, + 450604370, + 796671468, + 794808899, + 158026604, + 334191051, + 513834291, + 424271963, + 146311528, + 545741302, + 579162521, + 376536502, + 585551551, + 678935125, + 490608095, + 466077767, + 927550697, + 997431098, + 615221715, + 807344459, + 58361137, + 593373778, + 154032980, + 601241283, + 120972216, + 189661983, + 63858069, + 656570511, + 917651634, + 109291252, + 543855481, + 357884059, + 536396091, + 243687589, + 747029967, + 492063370, + 280079132, + 538429140, + 365892863, + 14403812, + 226316938, + 846408075, + 487067058, + 105598577, + 543216064, + 845163479, + 514352744, + 137448745, + 560262548, + 382979051, + 645103558, + 104245062, + 525821603, + 743374528, + 792542945, + 447852133, + 966836286, + 406391512, + 882877381, + 989219603, + 299895144, + 787063983, + 850905583, + 654137485, + 760733999, + 560554464, + 615637094, + 412491017, + 179063782, + 544590607, + 915660732, + 763524090, + 999511179, + 664697336, + 477086527, + 402446789, + 177786045, + 787940835, + 389223953, + 132206251, + 871396326, + 377037303, + 618218881, + 668234500, + 439475724, + 438332976, + 415447526, + 981069919, + 24402087, + 269909356, + 215680609, + 894901367, + 633243881, + 407204689, + 364008807, + 430491776, + 346962438, + 75124771, + 811001002, + 265377858, + 20940786, + 763066637, + 423198392, + 887426825, + 211589123, + 426048370, + 979151899, + 419113581, + 69206632, + 26173175, + 745923897, + 546978520, + 427885185, + 833800397, + 332392546, + 79881653, + 963306976, + 938370157, + 899455254, + 666681265, + 315916808, + 717239328, + 795670567, + 784581478, + 251627912, + 149485371, + 31910059, + 252154834, + 61676837, + 296634727, + 511375217, + 85558601, + 335849395, + 441885368, + 453651735, + 561888434, + 625187030, + 86168157, + 843627210, + 102541378, + 740367093, + 828862430, + 932250448, + 239495599, + 278312818, + 893435643, + 362363171, + 353308789, + 465565002, + 408404815, + 508116653, + 506344231, + 284097463, + 500777521, + 523045343, + 895428988, + 216749801, + 634097340, + 728013421, + 351822484, + 375488245, + 788791444, + 94911838, + 19902915, + 242703957, + 644819820, + 566185958, + 61047058, + 822992889, + 9136737, + 534436174, + 987325993, + 988916051, + 313549544, + 830558297, + 508304174, + 868124120, + 213487446, + 222226422, + 667952758, + 95883881, + 351753730, + 94835942, + 838458382, + 659310101, + 137219962, + 955250478, + 9576734, + 299388096, + 812943497, + 692054546, + 78165867, + 626122957, + 20688893, + 537174623, + 899935250, + 349463895, + 145504564, + 395743026, + 865947393, + 709806632, + 618940221, + 819348618, + 356330626, + 122915690, + 749159412, + 320945124, + 702387107, + 762060274, + 219797378, + 407377716, + 295281312, + 984470369, + 307238025, + 277690646, + 144224830, + 186113345, + 675771532, + 835698419, + 894508084, + 789177391, + 485280408, + 752623614, + 446750101, + 42860691, + 635911469, + 115547760, + 796986032, + 516459729, + 327599453, + 641144935, + 75492418, + 273964807, + 698339921, + 733487540, + 912635855, + 727972703, + 462358715, + 161547640, + 520896244, + 8418238, + 378686640, + 356752525, + 442147857, + 968105711, + 246264628, + 212321836, + 40891109, + 403411945, + 457884666, + 592782564, + 268199217, + 861347332, + 223498206, + 284397032, + 514685424, + 246007011, + 436464434, + 972781063, + 252140190, + 425642602, + 956583234, + 376387467, + 724827368, + 865111695, + 115384420, + 167913621, + 364600870, + 346361317, + 712931738, + 216285265, + 511613, + 268553346, + 964878058, + 722478395, + 120683360, + 821399004, + 244943549, + 352161526, + 766263121, + 148169791, + 773880182, + 410956167, + 773944690, + 918279606, + 963164468, + 439351651, + 684455348, + 460140208, + 582049229, + 74760309, + 852674465, + 573105431, + 245886563, + 934524039, + 613694327, + 733890786, + 36787384, + 408613227, + 408349855, + 157011727, + 58721458, + 774747498, + 751474232, + 64646363, + 634052576, + 635686915, + 36483430, + 888049810, + 157879795, + 218327633, + 658331081, + 166632761, + 716064956, + 904434217, + 621227225, + 900974141, + 367396236, + 530553486, + 447818712, + 866808420, + 166869100, + 695022309, + 512145020, + 52352069, + 581129903, + 299432397, + 65363292, + 504599574, + 331842634, + 997387629, + 420895985, + 621333871, + 661022172, + 240947838, + 583595693, + 656842493, + 672790934, + 989893484, + 832444634, + 86038748, + 412277577, + 929755265, + 330468340, + 276765025, + 835010400, + 87334612, + 225918093, + 591371137, + 941442634, + 457386019, + 413025727, + 984554457, + 480521965, + 576126120, + 863101757, + 270117858, + 293320930, + 218204946, + 319425860, + 973113332, + 930024697, + 18565143, + 468725365, + 102742868, + 236576857, + 907911596, + 923496842, + 200724543, + 18630475, + 158751099, + 436347374, + 131375975, + 665812896, + 751540660, + 452542433, + 629511012, + 899320906, + 559986185, + 930813292, + 992182, + 342758609, + 952885314, + 494407464, + 434186396, + 46859264, + 399569829, + 31319588, + 970662516, + 162038533, + 566788228, + 143956926, + 686269392, + 507526985, + 649926691, + 794230107, + 905590608, + 79314254, + 478847844, + 147374876, + 594044089, + 313420940, + 490375907, + 122625810, + 687586557, + 217483090, + 191989653, + 97872295, + 993387293, + 303538947, + 497629708, + 758366284, + 246255223, + 689114182, + 808533983, + 543798758, + 533995896, + 546496962, + 804674711, + 936742701, + 319804962, + 956743692, + 708620183, + 399561292, + 390994660, + 268280849, + 614396211, + 765387437, + 410192669, + 376602510, + 100606307, + 752372472, + 619328085, + 153601265, + 417606157, + 469480691, + 530031075, + 673636403, + 998765304, + 715189483, + 519167963, + 3959054, + 241703719, + 15289739, + 827428805, + 545530883, + 586310643, + 880883353, + 917076185, + 514729777, + 271448640, + 491875933, + 907160251, + 524230719, + 24631461, + 59744862, + 927446042, + 351475903, + 57012369, + 191962211, + 630174134, + 440514130, + 10942444, + 28573082, + 974508531, + 448555948, + 781459024, + 786850159, + 974295193, + 89281692, + 804327188, + 106169885, + 2697786, + 60489891, + 476297934, + 344960206, + 783200836, + 970093073, + 347171713, + 583800522, + 369670550, + 730792331, + 35730712, + 843893941, + 363162406, + 70036414, + 413064180, + 617484722, + 689677497, + 418542287, + 324158230, + 262750494, + 203765504, + 62407311, + 285407525, + 70653120, + 153084069, + 240920515, + 305254279, + 361516058, + 308431672, + 84960603, + 503022600, + 874828308, + 686073915, + 716067632, + 103529715, + 321966232, + 203181187, + 541851541, + 38136604, + 916292602, + 996240183, + 660950382, + 851658258, + 173059937, + 453659384, + 565339848, + 502369250, + 489999513, + 125907048, + 961823567, + 741525394, + 629442362, + 545794190, + 928158202, + 332478674, + 290595052, + 135585210, + 324432901, + 418975250, + 163834915, + 604191012, + 268515786, + 120361356, + 46361996, + 382878605, + 394530649, + 286153823, + 225686185, + 6974515, + 411631386, + 710190757, + 234634553, + 3578674, + 113568739, + 328502827, + 362688750, + 900530138, + 265503995, + 947157843, + 617491137, + 411319299, + 365158191, + 720536020, + 157328043, + 762946233, + 71168746, + 251917234, + 112753155, + 885442518, + 857209561, + 159290153, + 645987770, + 119205545, + 834746252, + 454781612, + 541976282, + 45198622, + 278640465, + 532790019, + 286536169, + 715626008, + 956160150, + 133082629, + 342350966, + 328424009, + 724660319, + 540738107, + 75511546, + 426434919, + 4616282, + 726216691, + 623508685, + 284641868, + 582866436, + 104807735, + 276026323, + 307271523, + 553573411, + 916523250, + 399400399, + 523383765, + 120920849, + 204765808, + 302865388, + 412321297, + 808022098, + 69912337, + 970179132, + 368545782, + 98298089, + 417497207, + 89943269, + 460948487, + 335980559, + 395470028, + 857443593, + 829828413, + 522656466, + 768757787, + 296678285, + 228236779, + 441407772, + 840414215, + 769788583, + 85295889, + 214091876, + 806186517, + 241792405, + 666443908, + 881804590, + 558974847, + 51576902, + 486985445, + 86815410, + 244821965, + 599593373, + 896629548, + 204175843, + 684326175, + 609269841, + 547626372, + 602328326, + 298492867, + 400308438, + 968740924, + 457264357, + 597461301, + 450217442, + 494156373, + 615903533, + 860141396, + 432952491, + 823561012, + 17599375, + 529927993, + 719407207, + 157038180, + 105510245, + 596122492, + 715828559, + 7155489, + 649290198, + 659446127, + 945905639, + 59341927, + 659441768, + 990820565, + 273214932, + 893562181, + 476361487, + 432880931, + 732201014, + 828738194, + 190046645, + 941418874, + 731374869, + 730775339, + 484332142, + 832595926, + 224570913, + 34461462, + 160579035, + 165490529, + 425419801, + 614096317, + 993943129, + 960238103, + 39180413, + 293244647, + 54701670, + 565405201, + 319081755, + 614401163, + 110777614, + 904907761, + 155926133, + 317261056, + 614553702, + 905937360, + 18066981, + 129708316, + 178817062, + 442933505, + 37702290, + 178828850, + 479718548, + 978836256, + 420690651, + 286595784, + 178239280, + 493958858, + 223246166, + 956710315, + 998725887, + 760713897, + 762106772, + 638321828, + 787899946, + 715059928, + 338102667, + 885658541, + 172186755, + 88281667, + 397900362, + 785107603, + 888656691, + 178971269, + 797647901, + 598169661, + 422353018, + 892452616, + 588650956, + 489052678, + 192819298, + 128049616, + 166079681, + 648913553, + 735067695, + 590489744, + 265229143, + 120986062, + 654753653, + 267222090, + 93893913, + 118043496, + 806898245, + 138594108, + 231705537, + 147104406, + 878613595, + 279991448, + 15979722, + 951042955, + 763587463, + 223458716, + 416861665, + 385296255, + 325966280, + 501115401, + 243663354, + 571383941, + 141333035, + 517209393, + 246902567, + 272142243, + 416737282, + 677859396, + 385276061, + 502026414, + 947230934, + 330392617, + 994440493, + 657589375, + 682039898, + 777384549, + 39762860, + 569574787, + 915354445, + 976584116, + 230537066, + 739937349, + 376880344, + 21447352, + 84474037, + 244815420, + 997087581, + 24285447, + 23972313, + 192873259, + 471689639, + 400378974, + 237825169, + 422295993, + 773075416, + 868598673, + 980497521, + 83446735, + 339446729, + 629669427, + 763795838, + 95934695, + 524236496, + 459539461, + 132701079, + 617329596, + 170203435, + 16888373, + 773868327, + 534536971, + 940603742, + 566832679, + 33608082, + 191907427, + 568665844, + 824980160, + 948317253, + 805910654, + 501043017, + 246567532, + 111799366, + 38166064, + 677260144, + 124753040, + 50769208, + 80496696, + 988688820, + 453749408, + 894205422, + 911849078, + 62631672, + 30881226, + 387707192, + 865405843, + 959003492, + 172203112, + 896554582, + 434576101, + 625391923, + 999789625, + 987312988, + 487590823, + 932994406, + 90942628, + 512781876, + 161482764, + 998729653, + 112908747, + 452596413, + 75573698, + 725728221, + 721284511, + 918884487, + 656876982, + 615991073, + 517237676, + 623149952, + 516357984, + 36272997, + 735854847, + 914746886, + 830612906, + 290453609, + 447026937, + 710790226, + 508205804, + 48219345, + 416252909, + 86392509, + 716339862, + 756795048, + 505420821, + 236642549, + 995130094, + 788372590, + 848470982, + 155348778, + 173049609, + 227723827, + 369943676, + 998327363, + 335222965, + 425469664, + 24187927, + 170760157, + 237731854, + 430619698, + 411550512, + 893537295, + 910757465, + 681811097, + 470583597, + 818796598, + 476676857, + 746650750, + 127962665, + 522733085, + 918392927, + 13223697, + 758943091, + 455007899, + 894064171, + 912629115, + 890326090, + 996444450, + 898065198, + 954452038, + 552119164, + 385538891, + 848896559, + 32204645, + 890934203, + 296621719, + 62051334, + 47849556, + 13015273, + 534085731, + 205784668, + 974425181, + 555846393, + 214321694, + 542609013, + 226020090, + 846463591, + 456964047, + 142821187, + 34046320, + 299032502, + 480915508, + 319772286, + 136017242, + 599913936, + 244246766, + 218023623, + 342554719, + 619573177, + 50629433, + 159422855, + 572606792, + 834864001, + 320282295, + 330425044, + 558271653, + 143389245, + 490790982, + 657175307, + 42340789, + 595111260, + 884326903, + 431961111, + 19759239, + 865119527, + 953111854, + 281197412, + 913505433, + 613022313, + 781473028, + 194357795, + 420554249, + 965268528, + 773229342, + 875777265, + 239362664, + 647479736, + 853245748, + 483733026, + 792139242, + 478893574, + 376956541, + 897449982, + 679457144, + 391272527, + 226697435, + 376121763, + 930214275, + 649082365, + 214172003, + 467730412, + 79398863, + 419092837, + 320159444, + 754810913, + 990581983, + 223885586, + 981201128, + 785047301, + 355565713, + 224031241, + 93532366, + 326458394, + 934506470, + 780303719, + 511083359, + 149810365, + 42393183, + 876086208, + 162417542, + 540595415, + 843269405, + 915218166, + 672115267, + 160731759, + 26967764, + 386991125, + 206582928, + 619033238, + 540316174, + 16747135, + 13623373, + 217702516, + 578956351, + 756885180, + 389131199, + 989434552, + 522600153, + 355999307, + 862294008, + 153260306, + 631497478, + 742815811, + 173541087, + 964339680, + 328517325, + 853151521, + 117215556, + 885421427, + 613077597, + 861471447, + 658422941, + 952888205, + 465017217, + 13031238, + 315831081, + 478998302, + 39591923, + 447701607, + 456992155, + 978772828, + 71245935, + 950109473, + 28351825, + 414825364, + 794172799, + 942923654, + 893858705, + 544520126, + 563836610, + 207479418, + 647470605, + 583463263, + 176252467, + 829362319, + 885646465, + 813037643, + 183652643, + 486138089, + 451921474, + 697077284, + 469176264, + 818516753, + 304406351, + 853601723, + 40334749, + 664544155, + 867547880, + 534947431, + 51740331, + 558401418, + 998681903, + 596195423, + 914418182, + 181265358, + 758250826, + 830947286, + 390870438, + 814947039, + 449572495, + 699426888, + 955648142, + 125380365, + 235355681, + 330469903, + 121480563, + 614567717, + 150373441, + 305037767, + 483915721, + 851111036, + 721810470, + 84768170, + 918229376, + 477735260, + 56193570, + 444594157, + 179198006, + 220499731, + 729670555, + 446814377, + 15496699, + 160571597, + 847091443, + 621686844, + 926166898, + 636903850, + 342341192, + 869890839, + 844722621, + 372371039, + 780779393, + 323801186, + 693675185, + 790740153, + 424742899, + 667322117, + 954324, + 680136069, + 851334410, + 864192615, + 261419536, + 92597505, + 779537253, + 77040446, + 192986738, + 329720605, + 47874727, + 846786014, + 205909535, + 78777682, + 190891366, + 126650896, + 675568969, + 222281421, + 115428089, + 70094546, + 81812805, + 134758506, + 33522266, + 830067143, + 617381609, + 531428042, + 456666876, + 475950794, + 482613776, + 574805824, + 592719726, + 41538801, + 50814492, + 967950162, + 968365358, + 666119903, + 892559617, + 770033452, + 979365960, + 101316864, + 877457777, + 421711513, + 789826045, + 42828020, + 251263919, + 598206500, + 71518387, + 86193294, + 414984397, + 803031, + 430365452, + 682172307, + 881851972, + 312385470, + 786866851, + 239179832, + 131354236, + 277928169, + 555173781, + 699663109, + 760178674, + 789865948, + 415597716, + 822220954, + 293950139, + 768079498, + 591922973, + 383991762, + 191165733, + 542203387, + 781478175, + 895378810, + 739645640, + 863094922, + 678684222, + 735934099, + 783070175, + 892556750, + 806052217, + 345480190, + 17260939, + 140698505, + 367349427, + 707570644, + 854903429, + 205443267, + 3800546, + 683833089, + 755039609, + 581986694, + 697016415, + 117333626, + 140952062, + 906753170, + 839656234, + 628716135, + 820528426, + 625897942, + 958616928, + 563491627, + 525091167, + 331485149, + 767914534, + 728237044, + 501787216, + 179007234, + 953897356, + 848175321, + 315972744, + 698383331, + 409235940, + 467617229, + 486880384, + 488372836, + 107519838, + 820259743, + 980991655, + 921858541, + 3355930, + 256453518, + 331282408, + 663235232, + 447734667, + 257288078, + 814525306, + 608728185, + 257439617, + 213167057, + 722827567, + 914304286, + 51870360, + 611559863, + 757387463, + 198469085, + 286372171, + 669597175, + 51808749, + 553557117, + 268378746, + 353264257, + 544455330, + 463031182, + 222897279, + 420459894, + 331588766, + 713367050, + 211377521, + 524354690, + 150339011, + 484705649, + 520126105, + 87700232, + 553770513, + 98339831, + 226786543, + 611737015, + 765737867, + 659307432, + 496054385, + 614272064, + 737079603, + 41997072, + 578138159, + 554254859, + 700070286, + 944841125, + 480484611, + 508862640, + 411480599, + 894449870, + 499518892, + 592894032, + 475310646, + 485441524, + 222277166, + 481847176, + 182363071, + 718213929, + 282050970, + 460475408, + 76896508, + 685903685, + 294396921, + 288195784, + 168869636, + 896537932, + 443927812, + 595563800, + 729077505, + 545159501, + 89447973, + 273004471, + 82223820, + 466191495, + 756254584, + 106114025, + 165009169, + 816216704, + 396879782, + 518323930, + 752647759, + 430964911, + 861306877, + 717733267, + 260979827, + 887208241, + 965418211, + 273341289, + 91940406, + 880142021, + 580326054, + 399105772, + 856717173, + 78476775, + 639096339, + 253847213, + 564547787, + 606482627, + 554978998, + 806927270, + 78012564, + 628192802, + 995050154, + 352740278, + 232910319, + 450039834, + 258833797, + 238812131, + 756676114, + 120896019, + 375091824, + 227569594, + 435715958, + 73305994, + 178417433, + 711577306, + 256768938, + 45881077, + 896445924, + 757014885, + 189917480, + 173517422, + 534836580, + 722143138, + 213932602, + 917377514, + 452988714, + 425066907, + 54925471, + 610107482, + 160620157, + 309769992, + 6007174, + 901850002, + 522539751, + 898584768, + 109668331, + 962717265, + 59749884, + 895278769, + 392214872, + 166943758, + 904147121, + 40831663, + 177414658, + 711621384, + 334197402, + 195284460, + 901593138, + 58146163, + 28391912, + 699682805, + 821709029, + 635421360, + 927795092, + 280475275, + 712837568, + 244542667, + 183048282, + 666072032, + 335751366, + 793109545, + 120895967, + 192036212, + 264664952, + 134555234, + 51274419, + 961102349, + 710247695, + 602828549, + 259112858, + 286949172, + 888529162, + 852840545, + 627008798, + 45485364, + 770582573, + 292000940, + 32377715, + 233041037, + 833396416, + 437765362, + 105158076, + 657687372, + 882221006, + 474552806, + 938445095, + 926459550, + 935541830, + 14063994, + 235852777, + 354180162, + 511941292, + 8264341, + 902337101, + 782643553, + 422878674, + 343665052, + 36881942, + 423170827, + 887659796, + 43377451, + 495102736, + 911365290, + 586302321, + 504815255, + 716812933, + 638230789, + 216247245, + 562246178, + 124100932, + 84536200, + 16090442, + 192651060, + 526228843, + 898966274, + 912511610, + 225554667, + 92784977, + 104448762, + 500391502, + 689105849, + 811367599, + 525027401, + 334788993, + 431694710, + 578379324, + 743068473, + 960327678, + 399343350, + 269582615, + 695819457, + 456156857, + 808565249, + 381304486, + 999491855, + 913822013, + 618751148, + 355199682, + 804012223, + 446439148, + 427999808, + 557519523, + 732673464, + 31002668, + 377494499, + 803143870, + 752274943, + 835553376, + 133796857, + 501490563, + 367788472, + 549626383, + 698292526, + 616671020, + 57331371, + 866522775, + 252688664, + 73079821, + 598010598, + 935039559, + 973635626, + 167334978, + 205390148, + 416893582, + 381448901, + 909477861, + 514781976, + 926213018, + 793030261, + 471849287, + 829274734, + 6830426, + 670718671, + 369155178, + 519021448, + 15181537, + 968602958, + 520593986, + 791350973, + 653767936, + 389458775, + 896075347, + 949701433, + 408501057, + 188688550, + 208391063, + 998943231, + 370363469, + 654088759, + 186473784, + 731593873, + 957150765, + 62249602, + 205478239, + 643762449, + 287400187, + 75225367, + 694661878, + 769926121, + 7931011, + 496161682, + 536275344, + 766515420, + 985302108, + 925308582, + 297991551, + 986945914, + 580689860, + 764330714, + 805441069, + 485877674, + 170393735, + 524319680, + 906018676, + 318661376, + 946838366, + 752224903, + 989435563, + 289371532, + 398898489, + 870838356, + 87599701, + 163844294, + 758756318, + 771892077, + 39184761, + 930507079, + 836250308, + 781412781, + 414155517, + 879479718, + 52963062, + 188592211, + 841390817, + 261433561, + 612250197, + 449607289, + 378593611, + 503704137, + 714773805, + 856742951, + 38076769, + 549568523, + 24433136, + 549513333, + 841764937, + 657960238, + 135708313, + 60137125, + 450270140, + 788012071, + 560930972, + 787004400, + 880670414, + 811020794, + 274819659, + 235177316, + 257557555, + 710160367, + 386607253, + 372805402, + 497050060, + 59798280, + 808019769, + 617749308, + 829203192, + 959210582, + 776701271, + 551561858, + 183914007, + 79861006, + 716134964, + 299728215, + 949515576, + 736442578, + 567955620, + 355718206, + 324276721, + 509862630, + 414907090, + 667693536, + 750492336, + 605139641, + 930738673, + 225066005, + 832061703, + 68670658, + 483072647, + 274656799, + 110861781, + 483483931, + 423520352, + 525306175, + 3617466, + 323515564, + 14898873, + 901815199, + 965461156, + 790216007, + 301406644, + 293138495, + 759445817, + 842555899, + 256301951, + 135629952, + 540861235, + 9901891, + 638382103, + 31319034, + 456244327, + 814282659, + 649904568, + 174248138, + 445330339, + 6606823, + 424421073, + 943529020, + 986785176, + 880094610, + 266075594, + 8685663, + 38632818, + 963156620, + 112390969, + 196520930, + 705024554, + 137654076, + 122707870, + 815128681, + 950241017, + 23617798, + 801366869, + 187019213, + 924339888, + 106562069, + 301364014, + 691695039, + 292145803, + 467870822, + 550842201, + 646532946, + 560186847, + 888514575, + 215736251, + 227563114, + 747639433, + 592782235, + 610882913, + 632598727, + 283225389, + 86351023, + 437344032, + 558977185, + 935972160, + 283235629, + 793173456, + 605138365, + 878880702, + 537664145, + 770341481, + 47733832, + 682513920, + 949021620, + 66191829, + 214713533, + 893991132, + 978241244, + 701798995, + 83987517, + 961280541, + 868186841, + 177920193, + 555929191, + 779330927, + 450062780, + 232686049, + 596959742, + 79208002, + 14757535, + 462751744, + 960906784, + 438755040, + 240781538, + 655699225, + 176469005, + 941665601, + 222757718, + 587695592, + 430393768, + 62848155, + 215192495, + 174214894, + 207129154, + 495795751, + 432116904, + 842949006, + 360701245, + 130637653, + 300484745, + 382951966, + 800862996, + 252452096, + 146433287, + 163414401, + 326210832, + 545509255, + 716446486, + 645468215, + 57889849, + 444784573, + 361621120, + 684974344, + 945413745, + 177031223, + 776695156, + 924972214, + 409158561, + 24596275, + 684862967, + 895156343, + 362401327, + 706524705, + 548806544, + 427263869, + 458834863, + 871612741, + 583683405, + 177495027, + 945029074, + 94913250, + 51895268, + 607216377, + 959821807, + 985765135, + 382848887, + 522980366, + 655355040, + 771717856, + 627965810, + 256700099, + 16537888, + 530374178, + 470735867, + 623020084, + 53902856, + 568950030, + 398878341, + 283682962, + 891149041, + 836479770, + 390664394, + 714133670, + 487606900, + 172226739, + 349215055, + 875165812, + 512439406, + 608784943, + 970522459, + 554892661, + 45166492, + 314307751, + 439942392, + 423791580, + 940666800, + 126516949, + 888694196, + 741991969, + 466762370, + 393584109, + 225734211, + 81527881, + 884951817, + 979328692, + 676159225, + 786518724, + 260352957, + 476180116, + 575444356, + 514335255, + 959222258, + 312011651, + 847670416, + 422024528, + 711175261, + 411112581, + 159915105, + 580916138, + 744781020, + 630226595, + 139402129, + 122828063, + 798060094, + 90781603, + 991260760, + 408082714, + 619716260, + 626513240, + 374912004, + 639943932, + 610164857, + 864491768, + 477734490, + 227029163, + 131114935, + 691150575, + 535142511, + 992121613, + 609293729, + 201673921, + 524436968, + 907309183, + 268353439, + 177228182, + 21794512, + 190731973, + 810894784, + 992769272, + 739036579, + 389534337, + 967511704, + 763372910, + 935012352, + 64128538, + 48190377, + 867018058, + 996380042, + 420780598, + 929753161, + 68986622, + 845206981, + 394444638, + 211765547, + 79131930, + 932777596, + 478675414, + 759426025, + 884733619, + 747276503, + 426912120, + 516069620, + 78830699, + 646480874, + 24672688, + 184643608, + 481124433, + 269694463, + 32077626, + 907644484, + 390252575, + 262091312, + 73937905, + 46525203, + 95454906, + 535705793, + 662143412, + 881377268, + 982662398, + 675891294, + 710102324, + 421115228, + 337611961, + 666348812, + 658782370, + 989757007, + 661061898, + 963598978, + 992380849, + 483437648, + 499147303, + 513117342, + 264064067, + 100528606, + 12222382, + 132403761, + 439280442, + 742802954, + 61777822, + 622855461, + 372584426, + 147727116, + 45830519, + 980801443, + 526910810, + 674897126, + 855862864, + 202744168, + 10493031, + 117682876, + 686249241, + 7079169, + 853496237, + 912038580, + 447630545, + 103524112, + 692267867, + 152968562, + 543830855, + 181050977, + 211757142, + 774311994, + 113817448, + 315902384, + 940443387, + 783835584, + 645350335, + 125547747, + 747052773, + 142993010, + 673033657, + 844437958, + 787409594, + 48378546, + 910808092, + 630134744, + 113218300, + 667710251, + 996509871, + 198532695, + 445856547, + 875973782, + 42306348, + 791012231, + 404889352, + 356668561, + 49851057, + 592958454, + 676537236, + 178756817, + 312622085, + 829348988, + 603168866, + 654877090, + 18425729, + 826747737, + 754265353, + 951185364, + 706318471, + 102788002, + 343502696, + 398938350, + 413394823, + 750310469, + 45343657, + 401449639, + 618729621, + 62351445, + 844313505, + 395397964, + 963648077, + 651995323, + 838212355, + 850847780, + 999071869, + 871989294, + 572992765, + 261470632, + 632797985, + 716621396, + 744901322, + 535930132, + 201620911, + 101951774, + 702903213, + 522918587, + 702823119, + 973911205, + 634509294, + 798231993, + 133293751, + 809566081, + 157704814, + 544498301, + 333373231, + 92723622, + 779596356, + 937707353, + 880866598, + 233728921, + 562694570, + 810057287, + 113083873, + 164088099, + 143264421, + 339290781, + 589770107, + 861136339, + 758030776, + 409520632, + 871102261, + 247847069, + 573305941, + 321883511, + 315100525, + 876785258, + 740717397, + 62002586, + 178261364, + 361744169, + 167072334, + 108847058, + 358148752, + 270768595, + 808184931, + 938512609, + 843759802, + 449236291, + 919289971, + 795370337, + 417679458, + 197715162, + 138241360, + 101933235, + 984052744, + 719363270, + 792909809, + 165780290, + 886077458, + 486436465, + 876546243, + 924956403, + 394761858, + 851249682, + 807090575, + 973521072, + 11174078, + 328566182, + 403828733, + 432932288, + 431710249, + 884496443, + 546693001, + 542358792, + 224275405, + 588680978, + 90464244, + 85287478, + 71991940, + 80222350, + 561055237, + 506543667, + 375246969, + 101343817, + 183578744, + 621734530, + 288335469, + 716668481, + 38057259, + 129784541, + 951631837, + 997143879, + 959061123, + 796051847, + 349673827, + 519850893, + 487255013, + 812018827, + 250027359, + 748273919, + 145868348, + 311430422, + 37965045, + 319918407, + 183170340, + 646916464, + 459226382, + 656807501, + 915620393, + 225465700, + 630787960, + 440004231, + 786806684, + 705030301, + 197806032, + 70788076, + 457579912, + 799280078, + 330846114, + 638035010, + 924660472, + 541776518, + 257961657, + 750123548, + 129833402, + 469180741, + 750339922, + 758653678, + 257063404, + 558443537, + 496983318, + 767625441, + 432991580, + 474236944, + 150240799, + 198718103, + 197817385, + 849529177, + 397143458, + 16882738, + 197880370, + 823543591, + 89403997, + 953685112, + 601388905, + 601182098, + 659537392, + 535396075, + 751685999, + 335583693, + 197315686, + 472399654, + 571059657, + 206323517, + 206374223, + 24002176, + 753774507, + 443822538, + 882418544, + 258135869, + 328173194, + 571707488, + 685650102, + 251646705, + 652822036, + 576206939, + 661922189, + 904725256, + 292043343, + 204291128, + 976670096, + 842340157, + 291200222, + 425677498, + 517660168, + 165986789, + 587451396, + 245600941, + 635857758, + 752784930, + 744893399, + 351273336, + 296056002, + 904292182, + 462569412, + 987074589, + 73683088, + 767818219, + 893690658, + 606969296, + 503490423, + 842389148, + 426933629, + 67110827, + 85649744, + 199203408, + 304017697, + 10237790, + 976233517, + 42315581, + 776902407, + 770922679, + 173572947, + 585320719, + 72444716, + 505389556, + 488264740, + 926372382, + 407754262, + 388065142, + 157527537, + 558833258, + 212612289, + 691424655, + 9685933, + 52158997, + 633535740, + 938767558, + 667478627, + 184645243, + 879040778, + 630151381, + 928552979, + 932056479, + 420309219, + 859747306, + 318244352, + 186259527, + 296881442, + 851718548, + 647936877, + 193348484, + 459219850, + 228153444, + 966312639, + 497165300, + 896644231, + 311823762, + 963546765, + 143186218, + 992846370, + 378428503, + 421881945, + 174172642, + 628890499, + 793055267, + 312849373, + 708865812, + 391435264, + 917729439, + 749970452, + 481945070, + 591073126, + 775686251, + 418763299, + 765436259, + 136951135, + 547038812, + 746455081, + 542311913, + 520571978, + 269289429, + 859118737, + 140981392, + 869786499, + 191918239, + 255591316, + 706147053, + 482824952, + 124422990, + 783745646, + 875740214, + 953379459, + 340585243, + 220658798, + 102646316, + 436587005, + 247681674, + 48484193, + 949686010, + 131497075, + 332111544, + 185253036, + 339425941, + 728434345, + 571827032, + 664209333, + 884529072, + 812848625, + 413866365, + 586092408, + 724535855, + 695053701, + 32947595, + 427492187, + 726639656, + 239195781, + 382674583, + 397170187, + 317037048, + 285394649, + 28582444, + 154393927, + 845943157, + 667189694, + 505186376, + 152001205, + 69890279, + 700534095, + 464122047, + 132970103, + 464467796, + 200686423, + 356022417, + 687608388, + 732185599, + 192113935, + 640469456, + 46307778, + 71434413, + 456508991, + 476217272, + 262199818, + 258100938, + 24606521, + 552281656, + 667779321, + 504120700, + 608468467, + 197773949, + 535176362, + 479608772, + 882267847, + 31488415, + 543141118, + 173019967, + 364683757, + 570823918, + 225113597, + 353992855, + 803060273, + 963166573, + 703190115, + 499484075, + 268366685, + 359268854, + 753396714, + 52876584, + 927348410, + 548917903, + 392543513, + 934116997, + 370072870, + 870300660, + 422155840, + 683695309, + 424388172, + 178019500, + 289206458, + 76455177, + 953413903, + 151115141, + 348706154, + 637376528, + 475236070, + 515932608, + 218807011, + 479339192, + 253955050, + 105195330, + 603154913, + 183713770, + 588944977, + 731527770, + 670286984, + 923559625, + 77492802, + 785020458, + 509231478, + 120485872, + 182401120, + 272232947, + 871378281, + 217005366, + 542808669, + 427741951, + 360401189, + 874219007, + 241901547, + 23859185, + 310819405, + 61331253, + 656177843, + 682584499, + 142682598, + 895534961, + 843970673, + 212037472, + 693555255, + 509046092, + 839250486, + 654124990, + 630406427, + 870528465, + 806739311, + 738511194, + 477092368, + 647782711, + 621360480, + 604768237, + 274910334, + 552344723, + 5072231, + 499865159, + 984109026, + 444172667, + 676206831, + 604301647, + 527350123, + 430214573, + 610482340, + 220636515, + 550505443, + 618958227, + 713192165, + 510024904, + 344994657, + 194098951, + 700401204, + 630887290, + 914590490, + 591741284, + 952721192, + 238813291, + 314387534, + 254911996, + 79214472, + 650204897, + 847889864, + 547806038, + 456115762, + 223821335, + 202406119, + 560949839, + 803053119, + 95571707, + 399911447, + 43842239, + 565317566, + 622096491, + 695089438, + 815601030, + 595672301, + 392268544, + 716146722, + 470803653, + 883834020, + 970847560, + 701765548, + 286157300, + 62924619, + 748525139, + 103577624, + 943337595, + 73155459, + 760843757, + 513708679, + 705977475, + 366623856, + 579043914, + 200616919, + 784209559, + 429366696, + 320469284, + 192143620, + 311619636, + 799020161, + 220053335, + 196995147, + 717079613, + 427586579, + 388575636, + 208859669, + 415268595, + 590869920, + 328211133, + 29818295, + 379537630, + 427982953, + 721932372, + 451089583, + 944258357, + 449670675, + 8802472, + 462535856, + 374221990, + 544518804, + 614939751, + 664155080, + 220791023, + 646747963, + 141730058, + 600567676, + 548746593, + 42006939, + 506928919, + 388337441, + 805528704, + 433753194, + 394583450, + 26629244, + 587712934, + 563865967, + 649227328, + 563795660, + 286992375, + 550530692, + 28451011, + 901274004, + 539503532, + 849292216, + 808264190, + 138679221, + 66181290, + 671917361, + 486995805, + 752205886, + 392618571, + 692021192, + 837119478, + 860851165, + 378477125, + 938792542, + 862795395, + 801355905, + 499947997, + 224446091, + 66286805, + 756665739, + 126387897, + 212884619, + 595415220, + 576785178, + 781865583, + 149149915, + 496972965, + 457513292, + 153414755, + 858918106, + 771554527, + 419538573, + 308555511, + 641992757, + 229520170, + 619989260, + 801167848, + 923537064, + 62456999, + 805429262, + 166156920, + 2996241, + 238660490, + 402147108, + 817778157, + 754301442, + 527076474, + 830831377, + 734932704, + 423902497, + 896820147, + 99592025, + 198462893, + 846713152, + 812178420, + 139241356, + 604331222, + 338794956, + 994147529, + 617404366, + 884982071, + 105606778, + 318049457, + 674176627, + 402907225, + 472915616, + 666916973, + 115696169, + 121522052, + 346201588, + 265420476, + 241426472, + 413971409, + 375509601, + 734351173, + 698251107, + 168990865, + 530779350, + 987373229, + 846153091, + 181246339, + 435735688, + 811139917, + 954497675, + 533565947, + 306560157, + 883675041, + 403591046, + 594079703, + 447723377, + 160233497, + 699890327, + 481446190, + 340177737, + 90051617, + 104042955, + 903427388, + 399734068, + 950080702, + 397002681, + 482815551, + 735449742, + 442518669, + 804685851, + 222025961, + 176726922, + 756802312, + 53240321, + 996490375, + 278888697, + 461820122, + 941150509, + 535695007, + 184199036, + 119026832, + 617381930, + 195032511, + 629269426, + 153911428, + 810652848, + 669186940, + 449059710, + 565078906, + 63503115, + 607333641, + 65519100, + 62520163, + 891814964, + 685913413, + 690853830, + 843473121, + 227903954, + 72685350, + 861825444, + 614094701, + 279767975, + 843394998, + 649833079, + 228462507, + 121017706, + 119912336, + 235917690, + 618164566, + 67439665, + 282252586, + 258698732, + 802348389, + 33030743, + 451131762, + 257667573, + 796526681, + 82324688, + 821493618, + 910025481, + 274484513, + 783760658, + 821157014, + 879946706, + 427556643, + 306153549, + 47759392, + 129436233, + 615242295, + 388269609, + 510647271, + 415237161, + 339943817, + 714607725, + 5403790, + 473921077, + 334491268, + 889077548, + 344974702, + 659147233, + 858948144, + 220988141, + 249775464, + 777565725, + 337626174, + 574899167, + 276312473, + 93806878, + 91766178, + 888726234, + 429774383, + 884927249, + 958938121, + 841309991, + 139074064, + 761865438, + 320014750, + 289049382, + 667619706, + 49926729, + 375921454, + 673654388, + 826913537, + 559433004, + 806631585, + 207537306, + 941870265, + 668193961, + 113905888, + 511181923, + 365504016, + 29332193, + 179733032, + 689968524, + 33818359, + 732032382, + 366769639, + 440841737, + 590597302, + 711029776, + 641907359, + 400842032, + 119609123, + 877410219, + 366472486, + 830246618, + 126457080, + 102061641, + 938917340, + 577298030, + 990630671, + 235857330, + 607068700, + 523329816, + 773185738, + 912346756, + 852868708, + 626880520, + 258242438, + 339641582, + 677501985, + 616492245, + 975155276, + 750076618, + 507379511, + 727882452, + 634604422, + 160799383, + 553760785, + 187170102, + 153389875, + 172765314, + 242365684, + 103080367, + 960917262, + 725618540, + 136782716, + 306935868, + 332251414, + 302827560, + 4534558, + 599731380, + 512070813, + 498370165, + 628168342, + 780047487, + 857655236, + 932633002, + 236247944, + 375334199, + 156553997, + 427961739, + 948384369, + 690781519, + 876343048, + 740570290, + 261355178, + 279373818, + 726386489, + 150264219, + 103475017, + 605507994, + 725013850, + 160330044, + 990045725, + 285002667, + 885231440, + 273234191, + 41226453, + 798600253, + 176854507, + 829642569, + 113344172, + 828579146, + 129645139, + 935947574, + 389423159, + 613816075, + 725641575, + 646889249, + 356863614, + 379165206, + 964162487, + 772991295, + 102696809, + 83348596, + 241606638, + 210388072, + 829761545, + 436132480, + 216201543, + 388347211, + 297034652, + 386171361, + 70350523, + 777688829, + 607571964, + 693073127, + 85965889, + 999706772, + 175782562, + 359112370, + 229532332, + 735872523, + 784025234, + 967205006, + 844390165, + 426559001, + 671283170, + 12556703, + 971898846, + 261302708, + 662132944, + 465308733, + 970721821, + 880284676, + 177954132, + 955699292, + 397936773, + 692351474, + 844663115, + 662969474, + 485324703, + 708373230, + 152037471, + 417568351, + 311562436, + 418736167, + 646330711, + 624931158, + 174508782, + 751386573, + 992294204, + 32952294, + 476510762, + 631071515, + 301909226, + 162293674, + 447679893, + 89187280, + 286486730, + 743712692, + 492707928, + 673605204, + 631966861, + 531999259, + 229362730, + 129274509, + 967869309, + 109336746, + 426951290, + 308759016, + 918220516, + 886049562, + 642630626, + 606432014, + 981716920, + 475748692, + 812953939, + 440652169, + 846148060, + 479598670, + 137167102, + 862420932, + 228343608, + 905810535, + 33945182, + 29445612, + 988773226, + 124888137, + 944000876, + 908020561, + 475646924, + 919103029, + 153527250, + 712325776, + 514620425, + 56512204, + 169752547, + 515000856, + 337176629, + 917358580, + 782430354, + 506382267, + 985688172, + 266225068, + 135274447, + 474138818, + 318635774, + 527702092, + 753878886, + 497118316, + 790981254, + 856316321, + 715127204, + 243401468, + 439797950, + 774130813, + 58807987, + 445075727, + 253345427, + 962833228, + 788947732, + 859866028, + 659618817, + 973963885, + 941852995, + 253924284, + 111356119, + 506584661, + 133781686, + 977883746, + 609409996, + 217337620, + 15851274, + 838212745, + 935170426, + 539815132, + 571883823, + 48322423, + 231490064, + 402695197, + 336135665, + 365023505, + 893483072, + 320104217, + 35182744, + 37458171, + 65053925, + 218779454, + 607804935, + 93952143, + 219582073, + 873502930, + 784989166, + 328744560, + 6205386, + 668962822, + 870244124, + 908379624, + 424809034, + 706968776, + 711820257, + 954809493, + 637057553, + 879389526, + 467574501, + 843444928, + 575788170, + 698363325, + 538204942, + 938436212, + 11976087, + 907584229, + 905416357, + 526113975, + 341147043, + 469172221, + 195494350, + 922522072, + 515773557, + 930190105, + 934808202, + 927113914, + 772530198, + 465422090, + 279076776, + 665643551, + 384601289, + 434862352, + 357607828, + 793915336, + 574493776, + 922723623, + 198214099, + 246041536, + 710748361, + 79015603, + 49485032, + 825069684, + 504870388, + 567309366, + 687355213, + 914537538, + 142564239, + 44249321, + 718758238, + 892605190, + 478721229, + 434772407, + 379838174, + 302902597, + 913462671, + 433537235, + 792380351, + 371467913, + 857463587, + 847013545, + 730519600, + 409906301, + 694948870, + 456102678, + 370654650, + 682494653, + 789667529, + 837137505, + 47739666, + 552751410, + 569634310, + 560626162, + 149605477, + 973234220, + 147296732, + 459483329, + 735640021, + 288530144, + 752954645, + 364664456, + 880109840, + 658787517, + 159947055, + 841126934, + 795135335, + 24939459, + 374747370, + 53132679, + 919320475, + 145105089, + 730188285, + 281851290, + 133658085, + 158239624, + 395277620, + 304814744, + 753250845, + 184935586, + 153256123, + 724572479, + 290022686, + 23078244, + 946851486, + 469742398, + 499880909, + 981339354, + 327805000, + 652554592, + 356193727, + 859016057, + 61840734, + 768407729, + 561904805, + 788865026, + 226989488, + 388635589, + 353446729, + 78290734, + 73959268, + 827087172, + 679400782, + 697421671, + 206161038, + 530950509, + 111878419, + 780343086, + 9401845, + 876798512, + 298197704, + 751574568, + 312827502, + 605792728, + 728544474, + 452972411, + 735067677, + 27809658, + 908703755, + 957416164, + 456250770, + 870056156, + 221394430, + 169537189, + 138164745, + 382800667, + 98731449, + 863423187, + 331122026, + 911360499, + 378888971, + 112087501, + 931297153, + 73858829, + 591682848, + 936703850, + 571153770, + 307632926, + 866931411, + 675253548, + 785654430, + 105570264, + 601897938, + 295342893, + 277254187, + 253861857, + 825936179, + 955263670, + 863444231, + 12571252, + 517584217, + 922762502, + 171163720, + 519208521, + 934298448, + 392893482, + 859792948, + 791314479, + 2324107, + 425485280, + 573027761, + 793180981, + 699339825, + 197704285, + 114064034, + 882761520, + 525188987, + 352258399, + 158591921, + 228223744, + 577727842, + 497444636, + 799917260, + 441665280, + 384163823, + 616538328, + 714985455, + 606302457, + 257523249, + 207376543, + 728981296, + 866240522, + 985477881, + 429098309, + 350421686, + 24010149, + 723930411, + 320259348, + 406539069, + 472932965, + 382231923, + 116812682, + 284521223, + 291869729, + 134697644, + 276439368, + 898610094, + 194470465, + 522279580, + 388612777, + 833342687, + 461123050, + 713766610, + 356357286, + 666853884, + 146054534, + 690711667, + 726069790, + 163566060, + 359279748, + 521333801, + 987127921, + 163516327, + 816443479, + 611069314, + 835224770, + 202559099, + 13802093, + 845225036, + 761416117, + 519420361, + 768359526, + 456400279, + 871116785, + 701482091, + 61038050, + 440033230, + 644995589, + 152672101, + 527104927, + 453373572, + 868641804, + 159175001, + 478346239, + 928308397, + 726577447, + 595954195, + 488684548, + 499735113, + 257036062, + 696849821, + 841399275, + 796094269, + 371078262, + 200339798, + 39035855, + 991218947, + 286915617, + 270073602, + 265738012, + 944318782, + 593490283, + 27962583, + 138443278, + 447633219, + 571308086, + 983897444, + 947307235, + 185124736, + 694727686, + 808734406, + 764577151, + 171514099, + 297681165, + 601010684, + 374185819, + 243756247, + 532895680, + 628338818, + 288692972, + 335581945, + 547315962, + 427685919, + 733713837, + 79372441, + 747567966, + 537249669, + 819332669, + 463162192, + 85348741, + 133032751, + 973678012, + 152544867, + 896016500, + 893948763, + 933343979, + 725291732, + 516201750, + 323711994, + 4955764, + 715569801, + 742067799, + 905556224, + 45075824, + 282584140, + 65258721, + 10821258, + 441093980, + 92338026, + 611171698, + 684934465, + 471407231, + 656313587, + 990167632, + 748876024, + 353382160, + 440277781, + 964869659, + 384660957, + 261846480, + 763852824, + 271197915, + 300104924, + 644736159, + 506999404, + 292838219, + 961780596, + 654345329, + 704309011, + 520850047, + 661086541, + 892443638, + 515797075, + 621833933, + 588550793, + 54434134, + 235229589, + 20452239, + 843698190, + 382595353, + 68803072, + 302331110, + 482059101, + 856602208, + 912449090, + 782836868, + 717915070, + 876163, + 546737205, + 969161625, + 941089739, + 978052532, + 788410283, + 21637417, + 238832062, + 799665806, + 789692577, + 261882831, + 808041826, + 595679052, + 783778842, + 452690765, + 302590529, + 772683109, + 272994777, + 324617638, + 584442710, + 178322849, + 916503917, + 436462436, + 880331045, + 222286886, + 854165314, + 902841519, + 542848999, + 712588454, + 687723278, + 542254198, + 411562833, + 241493298, + 954062139, + 608770946, + 506542822, + 645763541, + 729455441, + 627476190, + 385977377, + 985329603, + 128767485, + 190689089, + 343800938, + 963013049, + 398551470, + 526633738, + 993384415, + 641341434, + 757778102, + 25424711, + 263562699, + 109914044, + 547734031, + 312181506, + 632714500, + 244077900, + 224954441, + 549086300, + 42803437, + 276505836, + 919073149, + 427077491, + 637392197, + 623330204, + 82491643, + 568625578, + 215993018, + 93161856, + 163660074, + 178832488, + 124087955, + 642078082, + 997408906, + 384000579, + 631662498, + 333599272, + 23186278, + 9146450, + 510692715, + 568326071, + 610055998, + 776362615, + 438844177, + 914729695, + 5579212, + 155140044, + 674993697, + 296196648, + 162296212, + 135585782, + 771136084, + 905039604, + 27250355, + 10902330, + 57501528, + 689240616, + 580448567, + 183798520, + 584155994, + 763830496, + 918063969, + 415436914, + 860123327, + 4037531, + 438019975, + 620710857, + 517393953, + 935310691, + 936350458, + 652933810, + 108166201, + 254717021, + 838766651, + 578110211, + 297122264, + 161513933, + 142068016, + 813118274, + 175328604, + 236880202, + 177838176, + 838473253, + 867641450, + 434988297, + 178194957, + 711345205, + 849864501, + 376796250, + 334502636, + 65760746, + 192154802, + 364665139, + 18281603, + 440637375, + 522543044, + 28333790, + 119203428, + 694252338, + 941092310, + 598319854, + 10745261, + 281789358, + 603329421, + 261353889, + 385147876, + 660182898, + 532904332, + 708844732, + 331937461, + 734907547, + 155614260, + 26965500, + 81416529, + 702286142, + 53097958, + 434314221, + 309996497, + 403730290, + 33611546, + 262870855, + 739870499, + 578971574, + 379966093, + 929443081, + 999303963, + 602668536, + 787234850, + 75306367, + 936064135, + 977197769, + 688496845, + 195256983, + 477542351, + 417079871, + 377274369, + 577742029, + 177404513, + 980327634, + 583677071, + 517056576, + 640631518, + 708879489, + 805535680, + 62894695, + 595664511, + 332571737, + 812388404, + 779658741, + 942064486, + 335893628, + 167197329, + 358479894, + 491007543, + 612890661, + 779679952, + 689904636, + 253336999, + 278620343, + 371248251, + 789888057, + 149049342, + 912304668, + 631848248, + 751602437, + 273356057, + 563164676, + 711330911, + 968382210, + 201161873, + 823282905, + 877999884, + 355340529, + 272037407, + 705670101, + 753401301, + 619249959, + 169713387, + 354500180, + 502261125, + 828818069, + 127957696, + 356290682, + 598682980, + 289808365, + 86836967, + 737227251, + 489364928, + 402516509, + 482667885, + 27247025, + 299364406, + 232686476, + 353990562, + 560169800, + 661198913, + 485710145, + 343717403, + 746713295, + 908408637, + 576013552, + 246980795, + 558385699, + 96650865, + 470613989, + 848850021, + 529660384, + 652740924, + 882066171, + 227805158, + 784099461, + 725325670, + 579542137, + 663899280, + 19989021, + 516443020, + 533274478, + 679360672, + 612206249, + 938321270, + 779779223, + 202830049, + 890713030, + 466780607, + 59045285, + 174181504, + 417579350, + 306813352, + 332892802, + 996020366, + 997409112, + 97136920, + 919173956, + 107404537, + 244154386, + 878150105, + 279007526, + 236061846, + 906587212, + 789798941, + 642466144, + 149849458, + 643110359, + 79453605, + 32484311, + 840717495, + 171946073, + 913153448, + 615861679, + 541677868, + 955147237, + 695453787, + 247788629, + 654621383, + 684095846, + 666908694, + 863771718, + 730329282, + 396811286, + 732726019, + 724198053, + 929353732, + 850798639, + 582666304, + 998456410, + 841578171, + 695631877, + 520195833, + 490898042, + 472610759, + 808377280, + 375998947, + 884012641, + 99754886, + 451617520, + 118229153, + 145697836, + 397620199, + 351293222, + 383430910, + 848033608, + 42648166, + 105573834, + 986671983, + 447479418, + 501872849, + 545090887, + 744467435, + 616184657, + 558987255, + 882315864, + 319858016, + 705622429, + 541828974, + 175441691, + 424211646, + 517736727, + 301637700, + 103063174, + 847424044, + 273788175, + 905504751, + 545919758, + 578212973, + 549941108, + 826902534, + 797082592, + 99461489, + 855480423, + 878817983, + 306095917, + 819900440, + 584827789, + 724406483, + 202536633, + 868182991, + 299426620, + 479363599, + 267451955, + 513026284, + 732436566, + 41702584, + 397384173, + 794933583, + 746860671, + 772837952, + 258059398, + 500306772, + 972570470, + 629604993, + 578820131, + 849870064, + 281734709, + 634880960, + 807145677, + 667604919, + 79466003, + 188577198, + 888052060, + 349561531, + 382827997, + 196624888, + 535816530, + 638357181, + 554926955, + 106556471, + 222277358, + 747327164, + 405325440, + 22201634, + 421677514, + 391400292, + 619558344, + 330555734, + 577023864, + 64194471, + 703650259, + 677716371, + 131765253, + 281669338, + 124867831, + 414344706, + 369038508, + 603210693, + 165471764, + 357685849, + 991888913, + 511522954, + 382258712, + 643530117, + 27113254, + 640665893, + 295801566, + 382467765, + 766234858, + 530400395, + 165709546, + 89532349, + 564924291, + 6244531, + 790752453, + 883923231, + 496870526, + 316651458, + 612924929, + 788248302, + 966351751, + 323400513, + 911478210, + 569092655, + 943879308, + 422203714, + 965523746, + 562984424, + 64022586, + 806190705, + 167496758, + 641805918, + 191764120, + 295850998, + 375417589, + 809207166, + 975411321, + 375831846, + 158385880, + 987281039, + 550957028, + 593983760, + 805398028, + 39828354, + 132308789, + 818953620, + 246552239, + 365293586, + 304977690, + 844723195, + 24991068, + 123169971, + 512153742, + 469442084, + 625537010, + 243830985, + 579082318, + 353164745, + 305293231, + 627043652, + 730121496, + 442351250, + 52870137, + 238325162, + 762372626, + 598122954, + 314344798, + 159357364, + 610825037, + 455649989, + 199640835, + 580817601, + 613661415, + 754476177, + 936752510, + 109748067, + 653115716, + 712255458, + 401863929, + 640516390, + 664852079, + 401302699, + 254879859, + 315908518, + 279849270, + 112849837, + 953629181, + 995921890, + 220350355, + 549745687, + 427174515, + 907809848, + 20919751, + 111232368, + 276049483, + 481628247, + 357664604, + 586618352, + 232879139, + 237347783, + 567933790, + 213482734, + 555080147, + 473242178, + 657828545, + 370108160, + 269452828, + 860964504, + 510731579, + 643413980, + 625358220, + 574859101, + 363078768, + 103512628, + 816503444, + 599387487, + 774433068, + 767168299, + 920746951, + 415520927, + 340801084, + 820009054, + 743778893, + 288321944, + 741104433, + 203429562, + 690390373, + 357767917, + 382025003, + 832632768, + 832466060, + 550533818, + 794618693, + 607152667, + 130682746, + 944415824, + 473084480, + 580884539, + 153551990, + 566800058, + 190993674, + 480529763, + 619221763, + 109524653, + 723282101, + 22936687, + 20462711, + 595445807, + 883342438, + 284958572, + 401924811, + 414775488, + 588064839, + 557690363, + 65322563, + 848430476, + 172272590, + 615519974, + 524496378, + 768499263, + 345888790, + 155648476, + 202614185, + 566449064, + 73984069, + 21337723, + 225372443, + 828662486, + 82036917, + 715953250, + 902452421, + 99003514, + 207539752, + 29686005, + 586158854, + 398755500, + 551822239, + 246818291, + 413785141, + 92594693, + 94815105, + 703404793, + 770710501, + 108204816, + 321819180, + 915025673, + 549339806, + 447557876, + 691203951, + 298179857, + 267334611, + 280167880, + 442528720, + 734913948, + 611020569, + 200461785, + 57147134, + 138272981, + 192983449, + 61724384, + 131418270, + 721246983, + 166256437, + 602942736, + 789661974, + 856055504, + 993889285, + 32943987, + 38870262, + 889783590, + 675882966, + 186126058, + 147392348, + 267077975, + 162847064, + 451272139, + 347767396, + 674363424, + 6561597, + 487788186, + 863080357, + 776253077, + 320940847, + 406959622, + 977166986, + 962793811, + 761803083, + 558621740, + 390311319, + 665108584, + 839874035, + 395475552, + 982250578, + 449222169, + 245474248, + 888772349, + 317351668, + 712597707, + 391040573, + 532191613, + 542430254, + 108020254, + 236575508, + 352573974, + 412429020, + 761860104, + 765472973, + 31680253, + 656728313, + 728796173, + 431308889, + 393938417, + 481593201, + 87613488, + 938855903, + 968748621, + 919118133, + 450291598, + 666874298, + 305595859, + 403915275, + 414246186, + 407731775, + 858108781, + 87948805, + 724866802, + 486734095, + 439327007, + 480352316, + 234598758, + 538357265, + 602781913, + 438408161, + 649404278, + 693105091, + 230529754, + 233390615, + 954418926, + 60657938, + 99032537, + 380244989, + 786706427, + 276414103, + 641838071, + 449884631, + 173088613, + 822506735, + 853710559, + 428092076, + 347803147, + 823991279, + 765585931, + 323141307, + 989116973, + 543175492, + 34269431, + 527565142, + 362203788, + 775863907, + 815000041, + 752575968, + 150027644, + 521604403, + 664575867, + 153380163, + 697285986, + 453674017, + 230576213, + 1181919, + 380124291, + 175003433, + 658105446, + 839760262, + 303754046, + 328263577, + 208327180, + 968613495, + 3519562, + 129139485, + 629147239, + 88805630, + 157913059, + 293098095, + 92022106, + 760846725, + 668078469, + 319045230, + 6669585, + 743015403, + 154683625, + 674288556, + 348453602, + 986828487, + 961732412, + 367219468, + 996543718, + 103758602, + 304513366, + 136051729, + 186177115, + 163413509, + 586537839, + 225994947, + 599064389, + 89439754, + 793296950, + 692184861, + 235611153, + 266496256, + 224762201, + 556601693, + 482947678, + 947915775, + 555939991, + 157633548, + 765118763, + 82831052, + 865267165, + 546073611, + 825221959, + 303947129, + 733751585, + 859320546, + 310021265, + 49036059, + 697259756, + 889918958, + 386530732, + 419010310, + 405377320, + 921083875, + 724093996, + 664122095, + 440211938, + 496103772, + 160272802, + 383005149, + 545216551, + 656152483, + 341765248, + 456592703, + 803534566, + 558626205, + 247698093, + 139054892, + 222491365, + 59943983, + 310424314, + 892943384, + 446931163, + 216894848, + 408033008, + 694313587, + 60829767, + 452291139, + 644544335, + 123964878, + 29123779, + 668630747, + 702083790, + 595684217, + 804488833, + 195320448, + 643271785, + 370416330, + 56613113, + 73544884, + 715752792, + 318118026, + 718162549, + 449997356, + 636794699, + 931221080, + 812527150, + 339549486, + 931155348, + 429196402, + 213435547, + 267552028, + 856183034, + 675091611, + 303823105, + 12310835, + 500614708, + 573374278, + 531426335, + 386541988, + 152968393, + 827257032, + 216032747, + 869439813, + 140966325, + 243224305, + 939310904, + 45251479, + 785252086, + 882372071, + 883417183, + 381177940, + 688392972, + 543638110, + 132979153, + 786585900, + 708763701, + 550948086, + 624516180, + 424267958, + 305036542, + 817893120, + 629894705, + 152578382, + 982451184, + 19082850, + 604653613, + 357978737, + 837021256, + 694995689, + 480638298, + 695433963, + 96717917, + 749491387, + 397508095, + 790904007, + 969217436, + 964081954, + 276903491, + 459828375, + 875153999, + 465360195, + 841117767, + 682834924, + 80167580, + 791010863, + 439412786, + 53207135, + 584557075, + 320961177, + 199570703, + 417365984, + 268137477, + 955591191, + 843585161, + 28755312, + 364078606, + 341342576, + 333972191, + 330757611, + 495371071, + 917804256, + 813833033, + 571319981, + 709023241, + 903020404, + 815931441, + 133898134, + 481814853, + 286964017, + 259281113, + 15371922, + 17655491, + 544707247, + 625212523, + 343134107, + 445448816, + 202042404, + 953365011, + 829658741, + 487289511, + 454231530, + 757080686, + 803954153, + 240051944, + 600189350, + 631455473, + 545993733, + 497602211, + 723605378, + 306687726, + 811251489, + 48476437, + 972922801, + 457106779, + 710628144, + 709155984, + 576162853, + 344024790, + 816376890, + 196429546, + 650450533, + 790567063, + 609123122, + 140479732, + 487008302, + 369417524, + 410474233, + 11813284, + 338146957, + 203188630, + 88102837, + 170677347, + 775550018, + 464573727, + 90153625, + 541346175, + 396924120, + 299508089, + 527710787, + 791032897, + 268564730, + 42565954, + 426977014, + 336755137, + 403212182, + 685513930, + 860705604, + 850541170, + 346493308, + 449478059, + 110951442, + 136671989, + 743900574, + 344735236, + 732703913, + 136341356, + 260215485, + 998541286, + 66049556, + 76863135, + 621931343, + 985266622, + 310981433, + 252356189, + 87419649, + 412550387, + 827098746, + 344850697, + 496390241, + 369977236, + 451804701, + 800828418, + 146286550, + 787903606, + 425723941, + 574942637, + 276837778, + 342477284, + 54756520, + 664519710, + 976015346, + 482419563, + 303072745, + 550977753, + 904426405, + 85264193, + 612955089, + 407665082, + 37748982, + 61475960, + 920998609, + 672794839, + 968810138, + 792910737, + 50548557, + 301565461, + 906655161, + 128234837, + 223760348, + 230026089, + 565798302, + 754632310, + 537260842, + 751777667, + 506880979, + 600136789, + 494985158, + 677530979, + 721576499, + 35405317, + 882354364, + 422438968, + 889433442, + 347294828, + 271092958, + 512493351, + 775370194, + 78737810, + 913395194, + 897901175, + 304137313, + 660334285, + 445626175, + 809645137, + 776420503, + 736085824, + 912571887, + 699437957, + 171929029, + 671923949, + 509305513, + 378349236, + 651277485, + 122346307, + 49591519, + 674514626, + 481954838, + 666347680, + 504895686, + 752117684, + 278636413, + 769505779, + 567601552, + 680010508, + 631200296, + 973446048, + 883371933, + 885899834, + 634569103, + 176560710, + 221166564, + 549093171, + 153813284, + 364504722, + 98760078, + 665602446, + 194151028, + 525242702, + 92538385, + 381755011, + 130991245, + 778507278, + 124865678, + 14272788, + 297724620, + 304489867, + 930758239, + 481089049, + 154931032, + 733649495, + 388095642, + 239453848, + 823842734, + 10444581, + 349741361, + 63335399, + 721524986, + 838739037, + 489711692, + 253298657, + 257176411, + 641917782, + 161128040, + 344875658, + 585148129, + 670319011, + 893520022, + 76081745, + 395731149, + 339944870, + 141815783, + 358925659, + 602137232, + 507679952, + 717039033, + 117698351, + 176692785, + 605620911, + 214618123, + 871594292, + 29550497, + 436923319, + 895643206, + 967674489, + 286252059, + 948972642, + 78451656, + 162734352, + 657456496, + 381774145, + 228053671, + 274601057, + 677924121, + 339345251, + 622719822, + 945162065, + 334975364, + 693638534, + 901314321, + 297672549, + 200281431, + 723205570, + 50355776, + 356163487, + 839915477, + 490168671, + 301725111, + 562800612, + 905966369, + 704232448, + 132044849, + 865196055, + 643432579, + 702922075, + 896763731, + 186411651, + 189733557, + 616494184, + 588079910, + 835637604, + 49607359, + 867079690, + 399563719, + 926730595, + 409191642, + 62016944, + 199166737, + 51726493, + 437552208, + 561678237, + 553396151, + 326755083, + 214644391, + 241145677, + 859679638, + 395101672, + 840272035, + 5395829, + 302547336, + 527213488, + 402371398, + 947772447, + 40460387, + 631014116, + 47273829, + 376527015, + 205088412, + 999591195, + 612492796, + 96886772, + 656900360, + 450759419, + 64659009, + 745138929, + 721779261, + 186265385, + 7844576, + 158488755, + 635839269, + 499216146, + 970953970, + 180478362, + 302603671, + 634629607, + 736887111, + 165986394, + 245649947, + 160545025, + 217631601, + 953310807, + 8684568, + 572232893, + 273648126, + 989391590, + 365358013, + 181862891, + 376076035, + 266483727, + 134241586, + 123990104, + 30983681, + 179596556, + 903950726, + 678607216, + 218442403, + 704261288, + 448391995, + 86255317, + 342155702, + 738094846, + 433821052, + 187167301, + 755669208, + 76747788, + 175173991, + 916407634, + 83540991, + 490093700, + 561315184, + 372637720, + 571337702, + 795213203, + 942734536, + 658218630, + 866202070, + 419477828, + 815139043, + 358815032, + 701061429, + 344239562, + 658886250, + 905394596, + 256692567, + 523754643, + 426772438, + 820004502, + 290500056, + 301444506, + 887680978, + 768335275, + 52468787, + 697010351, + 679253824, + 688908625, + 440122348, + 319889522, + 810420547, + 113823091, + 378128385, + 596393259, + 520104589, + 57322075, + 248931053, + 284520835, + 121037934, + 785244534, + 694617743, + 911694088, + 570282400, + 474362624, + 22709166, + 230096113, + 524087429, + 420452243, + 411633800, + 334702851, + 270203555, + 534168447, + 938004410, + 907880246, + 574229832, + 553690840, + 397582945, + 531081371, + 142455337, + 350359642, + 463641365, + 70522874, + 455850683, + 160317199, + 160954644, + 691602670, + 21680611, + 745122717, + 985110278, + 471362921, + 180404964, + 163499070, + 552221301, + 544873473, + 77047805, + 100813730, + 729635337, + 530399110, + 416201065, + 91901151, + 251742917, + 84948823, + 70360328, + 619934206, + 754484773, + 125006984, + 52456028, + 209935159, + 532292505, + 956160482, + 319215667, + 773037368, + 653017635, + 487766112, + 327234175, + 672767315, + 463331495, + 888171378, + 749618900, + 156233392, + 10537697, + 366419216, + 44104553, + 69336931, + 165236844, + 352871762, + 46299973, + 531477339, + 41417364, + 775044365, + 320600462, + 125980965, + 395192846, + 850377669, + 224083642, + 348676404, + 416603672, + 372531946, + 112600302, + 962920248, + 159467673, + 834649100, + 816132811, + 230736193, + 805050062, + 27564539, + 83243956, + 194762129, + 863932750, + 450436943, + 526335516, + 641386226, + 385057115, + 236867949, + 701593856, + 837310229, + 913838064, + 441748334, + 518067402, + 369993532, + 713134894, + 455384439, + 506514016, + 227561447, + 928439499, + 747660066, + 80936653, + 857910292, + 536118965, + 372855979, + 477553629, + 158859614, + 717036020, + 612910221, + 177371875, + 920614988, + 267855119, + 904937494, + 817679231, + 244709354, + 168288296, + 388272226, + 354465469, + 448813267, + 477006816, + 274207732, + 704675430, + 549310363, + 527084485, + 989736419, + 402272791, + 785457031, + 663755886, + 727428753, + 997462612, + 428652370, + 752489691, + 749790283, + 668794814, + 626392404, + 468315365, + 477735580, + 79469587, + 8457964, + 183635575, + 191476519, + 729948415, + 87362202, + 250262505, + 236313093, + 31527590, + 755414697, + 823387100, + 409436960, + 542845763, + 587272099, + 608270713, + 526772735, + 343601689, + 155136791, + 169618479, + 116916779, + 426422, + 115813795, + 609828936, + 65047314, + 681646366, + 679204049, + 396017727, + 83920520, + 639617970, + 126699525, + 302059639, + 236274394, + 393520908, + 569169869, + 402334979, + 735408329, + 174636318, + 365258609, + 12134705, + 598436276, + 254099894, + 224887800, + 820146868, + 911966314, + 89176212, + 22568506, + 44322479, + 854077800, + 418553421, + 200565557, + 47887077, + 38167258, + 993707106, + 599260284, + 772176880, + 875475806, + 784372658, + 125789906, + 926015584, + 263241596, + 662814547, + 927543603, + 521655845, + 811487023, + 221117204, + 180427532, + 659903398, + 354777245, + 753162304, + 913435497, + 113210286, + 290747230, + 273404460, + 380278124, + 500177934, + 807648982, + 436431573, + 450626776, + 708871174, + 987763825, + 110751987, + 937794440, + 878045771, + 113722498, + 899272204, + 808941047, + 280746994, + 727777315, + 112355986, + 938779698, + 607279688, + 647531776, + 292546703, + 999439469, + 747531740, + 816751666, + 501482229, + 269017391, + 333044675, + 34562390, + 478907946, + 378881140, + 603090272, + 423964905, + 96756416, + 103413711, + 463501695, + 878746807, + 972077031, + 878121455, + 70097295, + 771555163, + 778515751, + 714265021, + 709181122, + 68932333, + 372787435, + 999488673, + 815926121, + 173613637, + 325590456, + 529982576, + 844716595, + 188643255, + 729160602, + 408965474, + 203355813, + 808010222, + 125687696, + 721530689, + 803243417, + 888503393, + 760548223, + 569136273, + 20328868, + 982368399, + 682418271, + 424299068, + 646818202, + 699893522, + 526681114, + 769602723, + 486617880, + 992631097, + 313072497, + 931738011, + 211135186, + 5746355, + 334007899, + 336459593, + 928838298, + 506138360, + 186941476, + 264032572, + 436245078, + 87901755, + 938428222, + 425600912, + 505894359, + 432286816, + 899291953, + 127275090, + 528488766, + 749136397, + 398685024, + 371444122, + 691263398, + 731718923, + 319232361, + 151885042, + 822189268, + 533107845, + 570043448, + 452688062, + 874884006, + 671046844, + 869349848, + 111413012, + 953377055, + 594145079, + 782669788, + 987070770, + 87658612, + 812401213, + 612678411, + 44813677, + 624621652, + 473825015, + 280525464, + 440493655, + 359736933, + 34254641, + 602103293, + 963384938, + 450477231, + 22173927, + 731978510, + 206379448, + 656241647, + 518134940, + 609599363, + 739238590, + 123258423, + 93171933, + 394618864, + 186397051, + 168046789, + 106955776, + 810590060, + 179640257, + 687150097, + 392957799, + 945213335, + 358515734, + 543366776, + 727244010, + 96020968, + 357373675, + 243813900, + 90829957, + 490805934, + 98604323, + 344396328, + 648898255, + 241392633, + 1113720, + 905283694, + 559844998, + 272094024, + 734328486, + 188910214, + 563835739, + 337776564, + 446607577, + 493873526, + 227864556, + 871081261, + 654347423, + 446513361, + 611383372, + 459240535, + 160431001, + 231124459, + 941308378, + 67690495, + 328193053, + 281672013, + 22206639, + 957646372, + 752437488, + 617674345, + 188070410, + 940710351, + 639551016, + 984915811, + 180188020, + 313171538, + 488180930, + 887839533, + 882228438, + 562540406, + 532304800, + 526631259, + 199396620, + 888925226, + 74489323, + 453351465, + 947411300, + 788564203, + 840687243, + 51253137, + 944182383, + 323664159, + 175399870, + 125549825, + 276196386, + 544373155, + 705403798, + 322167113, + 73082, + 109252886, + 719006514, + 541315191, + 516518781, + 155873634, + 443035733, + 867524142, + 183344163, + 718253009, + 240127773, + 667416016, + 950891200, + 698492329, + 666445631, + 653196047, + 506845481, + 705054333, + 465723740, + 770146624, + 152049796, + 940243019, + 110322032, + 952172457, + 987628161, + 337310716, + 2122874, + 672925316, + 736991198, + 611116165, + 745810664, + 953394515, + 238095528, + 671319513, + 129742674, + 159326003, + 293819073, + 257185290, + 684470299, + 313732565, + 420077798, + 455520364, + 483580307, + 920787938, + 45498430, + 720216354, + 143934963, + 965257030, + 854515136, + 201754485, + 319215167, + 882710377, + 952067054, + 735997232, + 51121482, + 522966021, + 385394847, + 842815890, + 516638894, + 277628157, + 785970042, + 579547568, + 800399524, + 360043058, + 221773747, + 132955765, + 164743300, + 290596823, + 734001533, + 39487451, + 597318901, + 41322123, + 32770386, + 998173637, + 828741308, + 233082254, + 271609464, + 566269358, + 290222267, + 229714795, + 637918410, + 697028384, + 976809100, + 625082790, + 185417212, + 560443453, + 338637098, + 848013038, + 303892301, + 999044609, + 335534195, + 700741370, + 948263319, + 558955995, + 815310390, + 720641834, + 720199038, + 35192372, + 553844147, + 571871329, + 740106835, + 56279522, + 155130106, + 28355311, + 667766615, + 302110574, + 607531371, + 348202759, + 28153049, + 258040098, + 597236980, + 892348000, + 73127641, + 604235512, + 36439253, + 686069722, + 37673850, + 776902894, + 228897428, + 523215026, + 435493636, + 370958227, + 678470443, + 534592547, + 419300099, + 614230853, + 145812527, + 752910039, + 345687844, + 33945602, + 845994740, + 718317511, + 395537594, + 513277302, + 131824308, + 181223449, + 225660100, + 862532956, + 779694590, + 124676145, + 657555548, + 514377047, + 740287209, + 516501672, + 341946560, + 537495966, + 78259785, + 371536142, + 359274132, + 151062832, + 768494887, + 67443270, + 472199249, + 148937622, + 543409903, + 483079474, + 722594099, + 877237931, + 220789635, + 644224022, + 923337533, + 845377124, + 287126024, + 564135750, + 622864905, + 86901598, + 518806202, + 39568124, + 835578564, + 386263819, + 863208844, + 479577616, + 267345079, + 456977289, + 373548102, + 9349275, + 700128232, + 64867943, + 840363993, + 773106100, + 486368129, + 790973117, + 166056743, + 712053907, + 60617201, + 650720066, + 80735909, + 183486488, + 511277826, + 186743662, + 500557022, + 577208194, + 272661751, + 778560138, + 253806232, + 102478312, + 332953516, + 194226963, + 366841568, + 380456344, + 812294104, + 765258082, + 119968256, + 779454367, + 28916191, + 265876041, + 684815589, + 66081806, + 721340536, + 924815994, + 155313968, + 650221673, + 619694263, + 159848594, + 328300755, + 934197039, + 792458056, + 290622615, + 58831436, + 717608066, + 130188335, + 603710009, + 731776980, + 204451494, + 606842610, + 280810714, + 567802217, + 844169825, + 597836602, + 83004783, + 950793744, + 876823889, + 324563832, + 551375853, + 779470571, + 909969171, + 707591803, + 898997241, + 33452772, + 499626838, + 8844973, + 869890759, + 779803414, + 648691559, + 765973682, + 315643128, + 221328971, + 311823643, + 790270835, + 176204155, + 553094134, + 458230773, + 481716477, + 341419295, + 933415311, + 828985444, + 732945258, + 567677708, + 877688254, + 243113686, + 961534503, + 601017727, + 250577348, + 803946132, + 620318594, + 984107353, + 979413122, + 261743691, + 117567182, + 331338037, + 977214155, + 328372228, + 162344702, + 455285117, + 6860340, + 553136275, + 896843127, + 585823598, + 670984387, + 821267475, + 652726919, + 647888977, + 633776261, + 37160358, + 321204169, + 720173067, + 537167637, + 414491555, + 141906925, + 741113291, + 780287347, + 954339076, + 42364810, + 968897074, + 345383775, + 196296909, + 488043309, + 880366669, + 651576777, + 435315435, + 975494115, + 639521813, + 647459257, + 412537298, + 13505783, + 74802694, + 514631987, + 957529938, + 166483659, + 171457274, + 982516182, + 619841584, + 961984203, + 253058234, + 55147038, + 967290933, + 598653393, + 49249287, + 714691832, + 633659711, + 175441846, + 668740102, + 391531889, + 872260053, + 143540086, + 437242799, + 759336832, + 835185940, + 492424387, + 58838124, + 34169997, + 38650138, + 335497990, + 686027410, + 340082218, + 729259404, + 85167036, + 704677792, + 715863273, + 5379784, + 736539120, + 21837290, + 500947688, + 568680404, + 18649062, + 353165769, + 743281846, + 329790609, + 803022825, + 106323560, + 939790055, + 855118932, + 395247380, + 710215084, + 671835621, + 707495924, + 954616224, + 145382418, + 309782559, + 380021233, + 570022296, + 740358204, + 832340771, + 579888834, + 142792920, + 589092762, + 689187508, + 504758140, + 300552837, + 133555385, + 842785059, + 639107222, + 837323793, + 263810491, + 195810803, + 821647624, + 426378577, + 699223550, + 689003199, + 656249640, + 929574682, + 87549840, + 696460103, + 889202159, + 775939967, + 896540159, + 116563655, + 216835057, + 162099264, + 675770938, + 77234716, + 451158789, + 563555059, + 639340466, + 936996486, + 160390920, + 198452932, + 11038333, + 279077222, + 366041130, + 93308031, + 561604254, + 813866084, + 939061355, + 673503323, + 169067299, + 125707721, + 28174435, + 399197699, + 678389024, + 441997489, + 419945054, + 882171674, + 354712320, + 152304180, + 732244574, + 200146818, + 218794429, + 241978804, + 410513720, + 228877864, + 167640672, + 187451390, + 399603526, + 70020303, + 176513943, + 367739406, + 163114736, + 298677807, + 609378713, + 22487780, + 354514935, + 547428836, + 35613962, + 454339127, + 494023427, + 524108015, + 565770256, + 15939085, + 28990761, + 675966, + 108936604, + 958223018, + 851997590, + 682696332, + 156189253, + 281446565, + 201939306, + 302523879, + 368600640, + 794114046, + 10011188, + 245407482, + 552736200, + 519434087, + 320195289, + 783119685, + 873325425, + 247461467, + 289913835, + 954404293, + 745804436, + 350678315, + 463521194, + 576768293, + 577275038, + 969797140, + 385197568, + 4453837, + 337394214, + 764253889, + 495945328, + 362826645, + 908362492, + 710787106, + 654436238, + 12228836, + 950450515, + 656446180, + 122144614, + 667684938, + 968354333, + 680755237, + 509080470, + 196181123, + 276902870, + 594732571, + 984547746, + 453341453, + 962600924, + 718494878, + 109028389, + 843373674, + 709694653, + 364692641, + 336546855, + 342293435, + 581272676, + 781212038, + 77385414, + 844730252, + 949300304, + 696328887, + 794183512, + 59302651, + 136851735, + 331528308, + 480288297, + 668491931, + 441318910, + 264391635, + 375415256, + 659972923, + 256529279, + 561805913, + 682905248, + 969226309, + 392237220, + 378596482, + 601302704, + 179872567, + 261197532, + 688886620, + 196342349, + 63579702, + 906141476, + 900401622, + 132665497, + 267899516, + 96039340, + 472080731, + 749859703, + 860109195, + 384106975, + 831311528, + 307315446, + 95858417, + 798244728, + 226045537, + 943911566, + 769617560, + 977665238, + 135579293, + 828948207, + 510681499, + 625275971, + 68127783, + 940618113, + 876263403, + 456468793, + 939988553, + 593944374, + 761203847, + 791926862, + 241901930, + 271111793, + 641809141, + 560035831, + 406965522, + 682281115, + 409427272, + 550790902, + 849628222, + 959503013, + 131164739, + 253912116, + 820154388, + 145116559, + 704236450, + 94652228, + 892822914, + 734825559, + 255292494, + 731935773, + 84624086, + 363901594, + 916807666, + 896295469, + 796983581, + 188133361, + 325126133, + 306834182, + 737051508, + 349490488, + 907463069, + 792309590, + 862097218, + 547824147, + 50527423, + 552469419, + 129186640, + 432893930, + 704277729, + 139564637, + 927343431, + 775883947, + 60661774, + 906931062, + 441855316, + 546876848, + 742733234, + 882463833, + 999218664, + 390767066, + 879062833, + 347196037, + 904571972, + 202518812, + 924792524, + 913103774, + 433216228, + 231516884, + 110931814, + 204767186, + 892020301, + 758498003, + 55632240, + 852626194, + 853208641, + 39201337, + 796591584, + 788632600, + 815499432, + 981290889, + 43954371, + 587594948, + 770181213, + 235788939, + 843711087, + 237226942, + 666737944, + 94412029, + 603393417, + 652172729, + 559300265, + 207410178, + 58695385, + 407605841, + 858452849, + 798941281, + 757273232, + 863487460, + 787288378, + 659887735, + 742526642, + 202003257, + 378793867, + 85464143, + 772799246, + 422553219, + 573341602, + 479946375, + 695467144, + 592803960, + 204900362, + 357149545, + 411780601, + 460015373, + 46177022, + 810443724, + 4998103, + 849888747, + 168690068, + 807520421, + 171341175, + 390408419, + 837402058, + 96470358, + 644921218, + 616492482, + 396748270, + 460562573, + 84686751, + 516775039, + 359195286, + 437074236, + 385430819, + 199471215, + 565683707, + 890472090, + 239676516, + 348591199, + 251220598, + 59754611, + 106711362, + 433166386, + 139950191, + 685355789, + 965423068, + 753063559, + 352431649, + 357175377, + 778150449, + 608294897, + 143969024, + 870055442, + 504505470, + 247977459, + 285118569, + 639750206, + 657535213, + 129015953, + 67320789, + 748963577, + 931759266, + 579707749, + 735872711, + 256093077, + 575383146, + 727208984, + 97087993, + 266117315, + 672173920, + 721198879, + 680053140, + 784775260, + 394836836, + 51237261, + 869519151, + 534873320, + 505798032, + 70184179, + 920885931, + 138718091, + 935138104, + 64225916, + 73657433, + 17554304, + 791798442, + 14707325, + 572153957, + 441576886, + 95420858, + 601842546, + 485861636, + 843971544, + 849396962, + 729506776, + 138700555, + 831196616, + 788578208, + 947957916, + 346652400, + 993829964, + 953057948, + 493175676, + 256190744, + 688454369, + 849398004, + 71861147, + 900422978, + 849333005, + 831503155, + 454906122, + 994345876, + 992758758, + 45374321, + 564416840, + 442153328, + 745751603, + 300979271, + 57774193, + 887695041, + 766121248, + 178679156, + 501292817, + 333625589, + 658978505, + 370603314, + 255397765, + 274270154, + 368842703, + 515681402, + 498556003, + 257347027, + 668949872, + 879921221, + 208621658, + 654651245, + 649848072, + 472732771, + 201061534, + 436739422, + 301068100, + 782765014, + 686269160, + 635093404, + 857519413, + 401924617, + 550387690, + 334378784, + 525295474, + 25948021, + 552728773, + 521777225, + 934866256, + 153451934, + 211065657, + 168820683, + 394652294, + 512638707, + 68905478, + 536143599, + 877958269, + 935582786, + 504060141, + 340358382, + 555478512, + 221375451, + 864211794, + 345730522, + 385228539, + 73838715, + 794136318, + 479570483, + 160133441, + 750198643, + 37063576, + 135719724, + 513636614, + 476173229, + 599783681, + 45660220, + 974156231, + 508910135, + 815742270, + 529643223, + 332651916, + 853220478, + 448484874, + 552250318, + 334941100, + 712397461, + 309729375, + 523068161, + 850764689, + 794087837, + 651854732, + 485082547, + 214224545, + 661273051, + 580813188, + 574042496, + 993241373, + 591440418, + 456533555, + 385100150, + 874318066, + 643792474, + 242075776, + 102660884, + 797703766, + 839523159, + 294682614, + 652844107, + 232709449, + 321268731, + 496894840, + 21991314, + 318705898, + 141375591, + 124309995, + 957825245, + 424932418, + 193977154, + 20732419, + 800736195, + 128943605, + 649469039, + 366411072, + 193727350, + 408963945, + 570034592, + 281456521, + 471974484, + 224620510, + 355638671, + 73273236, + 802723431, + 925788702, + 826774875, + 533853327, + 227555857, + 961275778, + 951832413, + 901421971, + 544099966, + 540983783, + 391620533, + 257475744, + 994543572, + 61582749, + 981044414, + 117314833, + 222362142, + 75598939, + 502511852, + 770805727, + 931285479, + 724055455, + 308403531, + 164221563, + 57855964, + 437725114, + 141064199, + 786152392, + 461216043, + 728451253, + 971910866, + 729824082, + 305917575, + 767807271, + 182712996, + 362581653, + 758162553, + 650031362, + 993650256, + 269349581, + 642299280, + 380152479, + 273112546, + 620883381, + 180406508, + 394336999, + 173960662, + 990874306, + 417589107, + 932088011, + 585627299, + 723213559, + 103335868, + 522320198, + 439026761, + 159841539, + 971261321, + 427604108, + 713981145, + 700113156, + 655705799, + 402643841, + 458898955, + 115863006, + 258098856, + 387046647, + 292526576, + 292025798, + 219485186, + 502146940, + 413593091, + 248743336, + 63381455, + 57746196, + 916614017, + 328447741, + 373035506, + 503531631, + 46902466, + 18488179, + 255826181, + 630007726, + 371712011, + 670915511, + 483391191, + 16098305, + 439262622, + 65883633, + 195950252, + 389960392, + 744939546, + 521697715, + 993543313, + 618896876, + 217579697, + 794416823, + 795043445, + 576780954, + 340439630, + 259732044, + 689064235, + 613528794, + 323885169, + 536188469, + 607648997, + 752127874, + 724872515, + 653630031, + 670933602, + 30038067, + 603781647, + 231999045, + 982139237, + 827262455, + 399202390, + 249451210, + 768358106, + 252142702, + 187910318, + 856458271, + 586308429, + 501559943, + 862727520, + 105868172, + 475099564, + 413414332, + 76559668, + 348707716, + 534257277, + 932272110, + 927209874, + 240442031, + 844689251, + 588897811, + 607854439, + 565482524, + 970439685, + 14774155, + 962874912, + 568767320, + 198285363, + 830844131, + 435629888, + 711547957, + 809562685, + 33902507, + 311162592, + 111235200, + 27029480, + 50101687, + 171692189, + 759367125, + 859710193, + 269912015, + 241500588, + 295267549, + 737764433, + 598659092, + 373101780, + 993054350, + 667068800, + 288211915, + 939779167, + 825257091, + 200140191, + 710827886, + 126002153, + 48299132, + 667572331, + 771312046, + 487849659, + 763639019, + 989099084, + 192419063, + 331175045, + 399479298, + 347860457, + 780027420, + 883108357, + 722251242, + 854085129, + 926352119, + 858226544, + 945784468, + 93640950, + 21582141, + 271672477, + 130639094, + 845434739, + 896636845, + 226192907, + 509995429, + 517116109, + 30534644, + 452612264, + 491872459, + 481750868, + 154005272, + 174810002, + 78343286, + 836965177, + 717878295, + 209914299, + 771376396, + 587363625, + 19629475, + 834194252, + 775877013, + 84703971, + 757745999, + 656653263, + 830147872, + 786385888, + 742037812, + 632870462, + 429539192, + 19721526, + 792936592, + 124913830, + 366304124, + 303652978, + 39479117, + 708999396, + 540486612, + 677023529, + 139414087, + 687370347, + 439051260, + 322198716, + 795155349, + 495140016, + 545679751, + 715844493, + 898967914, + 953812843, + 964374146, + 796754548, + 223533222, + 836900317, + 177890438, + 470904957, + 22812032, + 685406949, + 298995309, + 584235407, + 662690924, + 377134769, + 821220798, + 709110485, + 861414494, + 253098874, + 407322935, + 913995520, + 945081793, + 128913923, + 515911708, + 110929745, + 85567669, + 905706543, + 969884808, + 55650951, + 406248797, + 872994309, + 335672315, + 389289726, + 548800171, + 100265421, + 897085779, + 423942871, + 17033924, + 801821408, + 231137169, + 814621133, + 606411059, + 389003024, + 266843536, + 590861206, + 645028699, + 883908064, + 68254637, + 174725051, + 549066205, + 184870169, + 794928408, + 332263122, + 835437140, + 584326212, + 126150821, + 786069224, + 18054001, + 946143754, + 583359531, + 309909369, + 148241648, + 672771710, + 984978423, + 183139644, + 220648948, + 711860564, + 639507861, + 988168375, + 655328654, + 723192081, + 856234001, + 225657874, + 416932069, + 408856552, + 323186070, + 148611545, + 190440093, + 22822661, + 499565480, + 823445580, + 20432976, + 879388250, + 648225967, + 179300955, + 115180248, + 341648981, + 230389453, + 383723097, + 584726049, + 298168678, + 182197077, + 320184470, + 399510789, + 514820618, + 886640983, + 445934109, + 721423184, + 769225495, + 439972079, + 445793201, + 938367920, + 484590540, + 910326390, + 150788460, + 529913185, + 927776235, + 138576642, + 471264914, + 501101146, + 474411004, + 897407936, + 437252502, + 377612464, + 451470763, + 416482801, + 510185721, + 428906062, + 201192675, + 889892421, + 218565480, + 509083180, + 251008259, + 595465945, + 240348143, + 492772579, + 902429440, + 368533515, + 436082982, + 10772773, + 297155571, + 214966812, + 122506792, + 945566685, + 855862239, + 890434028, + 259219731, + 3121148, + 997383103, + 189117447, + 712572901, + 757718296, + 12636393, + 918963182, + 8991490, + 520702503, + 938559462, + 741942020, + 548695132, + 740709088, + 214890626, + 204171199, + 571831745, + 445774103, + 431013474, + 791557538, + 918672570, + 538272442, + 710695519, + 590912697, + 823036267, + 939479895, + 397237871, + 61321892, + 19273675, + 584404641, + 300505567, + 461846287, + 128898737, + 227333678, + 751868761, + 834113785, + 563607231, + 607878072, + 612493536, + 924884692, + 937603456, + 293070111, + 435612004, + 312615589, + 772083543, + 893318033, + 79560794, + 247178381, + 756710277, + 814685082, + 764949834, + 680544175, + 851179595, + 308209256, + 758027394, + 880870878, + 974184459, + 866560176, + 930144485, + 508422105, + 173435669, + 947985048, + 469092307, + 881763363, + 39938678, + 494941081, + 395221711, + 816340373, + 951157388, + 912218757, + 348537262, + 505843153, + 435818353, + 652817791, + 733033378, + 956140759, + 985451786, + 667411621, + 895208710, + 465169766, + 454400079, + 978586020, + 68752661, + 601134189, + 115979080, + 499203155, + 287956828, + 949970329, + 612155370, + 440467938, + 916528907, + 75693095, + 878078798, + 368129265, + 636648356, + 655755239, + 122393776, + 715642934, + 477649616, + 667073150, + 435904554, + 795806862, + 548786062, + 57081765, + 692663819, + 187205878, + 32291245, + 154042234, + 70745720, + 277786182, + 129193854, + 451128157, + 206958992, + 333316630, + 372848943, + 275575500, + 341699386, + 120751631, + 704502060, + 778929770, + 363482856, + 867070234, + 103558099, + 465185707, + 702565980, + 25323306, + 851494448, + 525906472, + 416009705, + 298848131, + 588452532, + 663738440, + 297677459, + 162757732, + 89729989, + 479356327, + 924785, + 398304201, + 787625182, + 842548036, + 598227226, + 993281678, + 695789684, + 710790865, + 376809755, + 641895152, + 87585884, + 487676489, + 259129684, + 45901412, + 381051003, + 235875814, + 54082278, + 106191202, + 345207702, + 823284450, + 128073997, + 609153669, + 855169689, + 26957210, + 381104156, + 391395786, + 742083711, + 551325829, + 503886461, + 877898800, + 329225464, + 582476815, + 908240110, + 724394706, + 650067972, + 193936806, + 168468738, + 126914850, + 327283981, + 694756582, + 656766795, + 718055685, + 99163215, + 853644871, + 567625250, + 610927461, + 174038540, + 4284302, + 65319, + 530805149, + 401663605, + 432355937, + 71780558, + 750694303, + 137647437, + 472577239, + 58346470, + 217350257, + 437661780, + 590472677, + 319838450, + 305641879, + 436611477, + 80111207, + 486655307, + 328413353, + 675028849, + 463213405, + 389821695, + 285479991, + 150451804, + 878222479, + 133681518, + 392478983, + 480486156, + 121858385, + 495207158, + 664182078, + 939519108, + 308067041, + 13250886, + 902646495, + 269267823, + 566665409, + 628875001, + 724915906, + 209349110, + 240257554, + 984220446, + 201478021, + 597560921, + 495654541, + 577983012, + 517426380, + 722604550, + 468856779, + 574864522, + 593805433, + 581997475, + 944918407, + 851783026, + 806849726, + 870647730, + 844626496, + 532729254, + 509795690, + 908872837, + 628915297, + 947981255, + 715189592, + 25024446, + 947271100, + 147592944, + 750871572, + 792070665, + 642664333, + 461918765, + 275265522, + 496660941, + 870170620, + 830056888, + 957045141, + 199406422, + 439810, + 661449997, + 946385970, + 697180259, + 579412060, + 432265979, + 157200988, + 217658740, + 920116793, + 800963342, + 544976828, + 211297501, + 930459883, + 103855624, + 903616798, + 22078694, + 20340421, + 911670400, + 818293035, + 550815446, + 636705791, + 431370700, + 185367277, + 943729250, + 161518389, + 10772915, + 445300177, + 278435807, + 827037228, + 852177914, + 675400928, + 631934363, + 180305796, + 355172345, + 740342098, + 722583253, + 84278726, + 140351160, + 291827515, + 934221305, + 62121420, + 839099627, + 57241306, + 679437605, + 989882225, + 586487879, + 863769484, + 377447155, + 270805843, + 432530129, + 286875949, + 539854661, + 903850367, + 964154446, + 132140398, + 724587744, + 900545538, + 699244153, + 389827555, + 603213113, + 561883833, + 771620912, + 959713188, + 293455975, + 942132154, + 36209312, + 759689209, + 90292570, + 5369608, + 608787776, + 402389053, + 804671494, + 261774931, + 777244648, + 161671645, + 682005787, + 218922866, + 145595999, + 632822722, + 615076111, + 60400606, + 911602783, + 635937728, + 200268167, + 599948160, + 557236153, + 636346631, + 212054887, + 850428787, + 209859369, + 285152629, + 326972526, + 776096752, + 762318504, + 543239774, + 797644565, + 31931619, + 780171322, + 314190531, + 649913886, + 158003871, + 119289108, + 57743499, + 567747755, + 177021052, + 964664454, + 15337497, + 38335945, + 290274962, + 408221971, + 401159767, + 42356248, + 576839203, + 695251614, + 283466976, + 21918427, + 517665424, + 191087239, + 262442568, + 686310757, + 84821890, + 704278945, + 206994502, + 474855578, + 603556078, + 137422463, + 439711342, + 171935307, + 367785377, + 180118194, + 615875182, + 622246939, + 855842587, + 455100332, + 548318194, + 532225442, + 356797278, + 834057765, + 295707356, + 550228800, + 498181386, + 646336409, + 305430721, + 675651217, + 721449310, + 41832220, + 237258260, + 939231333, + 764568827, + 423837891, + 909415557, + 850553884, + 435511584, + 332879618, + 738842919, + 89390230, + 780301793, + 960497416, + 82382273, + 833966810, + 572387150, + 937779769, + 148054255, + 745661192, + 536268224, + 872681147, + 911240413, + 261928940, + 168104360, + 95545580, + 277589796, + 608026861, + 459541118, + 65499425, + 932149248, + 142452129, + 287248164, + 797279738, + 264022503, + 892300745, + 775167820, + 398179949, + 862392042, + 812950043, + 997322129, + 571576688, + 238503647, + 296930185, + 557000198, + 156390660, + 48064481, + 67498011, + 854695491, + 254333474, + 223113449, + 507104026, + 578748604, + 291433868, + 248644793, + 846318317, + 416992242, + 293259346, + 931964890, + 587768104, + 968452454, + 890431358, + 244500783, + 857480349, + 636473480, + 857487651, + 240436211, + 817540386, + 226294936, + 839009922, + 387608153, + 913141918, + 284272695, + 959573613, + 701903432, + 968263196, + 765172834, + 481013306, + 18596511, + 267211980, + 253658514, + 91770029, + 306763949, + 874789850, + 588175056, + 744980046, + 947098563, + 274203804, + 721782303, + 755168674, + 847155342, + 118083735, + 998878592, + 17845493, + 842821869, + 262485037, + 3657268, + 667005487, + 190949753, + 130914712, + 79401350, + 626630350, + 987047200, + 814336045, + 364844008, + 101713611, + 211623574, + 555120974, + 682625425, + 904095890, + 814251438, + 591227555, + 52517350, + 134973753, + 949023865, + 230297159, + 997072075, + 872605135, + 168771176, + 167263325, + 21982170, + 688778198, + 498981905, + 641642436, + 805547581, + 217994858, + 564477198, + 88713771, + 309482707, + 386631739, + 720010748, + 505756282, + 587500386, + 988549425, + 366363542, + 831471546, + 582202991, + 652710605, + 182800603, + 352097976, + 631427435, + 915687347, + 779368105, + 26209886, + 45274527, + 615977557, + 158224408, + 438503606, + 342988222, + 524649749, + 752687841, + 109561910, + 380593793, + 536911176, + 504335824, + 90114726, + 901528492, + 796006591, + 992460360, + 680171937, + 8642927, + 277686363, + 941526576, + 718808719, + 794699082, + 64104580, + 127184947, + 435809784, + 521280119, + 101978205, + 165922814, + 888778997, + 867578948, + 529543072, + 730497338, + 129790029, + 25957923, + 437972614, + 594221529, + 10944832, + 362323070, + 571978362, + 347787857, + 771581340, + 786664295, + 850667343, + 597329689, + 355554290, + 741603187, + 796593227, + 334353690, + 391949062, + 478255934, + 261182841, + 238652137, + 552096208, + 175373804, + 692125305, + 849229358, + 509588252, + 757033312, + 644027411, + 253654659, + 45066607, + 506235806, + 831303395, + 720839041, + 190785570, + 778043328, + 433579540, + 996180198, + 356501579, + 939713884, + 318771557, + 252582353, + 176507676, + 38790592, + 263518135, + 797483898, + 132914812, + 874915547, + 991778086, + 686346732, + 839252507, + 79431229, + 299513911, + 958919041, + 922542202, + 844830532, + 817556712, + 94340424, + 940217018, + 581907938, + 771757665, + 771759809, + 717759565, + 462159149, + 949197779, + 484091814, + 706157092, + 390183738, + 633076378, + 183638551, + 236272850, + 696002465, + 252781297, + 498824874, + 442612254, + 582836756, + 678863848, + 723200825, + 197666694, + 639204822, + 685775809, + 645410302, + 374438384, + 439577407, + 164093305, + 531214485, + 585336486, + 815064550, + 931466452, + 6303388, + 199037835, + 462906037, + 521473211, + 756060285, + 29136342, + 634559377, + 699369959, + 60813892, + 406824645, + 216742186, + 611547407, + 890820082, + 714078741, + 168648991, + 538167279, + 529353376, + 112000705, + 867290946, + 669604151, + 862358600, + 685439392, + 790821035, + 543169541, + 921339819, + 916238069, + 712135248, + 244840014, + 997444331, + 722073300, + 426358056, + 296912170, + 163693130, + 748983299, + 747888429, + 923248622, + 357161877, + 146954839, + 2764540, + 880829910, + 937594915, + 513421923, + 314754196, + 184695180, + 705415822, + 145786376, + 584274722, + 760437914, + 914348281, + 282025625, + 284861532, + 160559352, + 154909831, + 71642307, + 36851642, + 930960391, + 468072531, + 708236180, + 523682292, + 612834533, + 397702410, + 240277097, + 156684868, + 640072772, + 289027168, + 639057227, + 873097294, + 624990159, + 854145512, + 435589492, + 872588194, + 534252487, + 828679833, + 780481647, + 70637590, + 402613358, + 929324463, + 49856650, + 66578754, + 733548133, + 812641041, + 282652924, + 306119943, + 337693988, + 967431260, + 574586795, + 708883222, + 613270197, + 154118607, + 416464848, + 462305853, + 14455328, + 64299396, + 854297929, + 722307974, + 741382207, + 557030286, + 972264717, + 346447029, + 822797021, + 335292761, + 359239206, + 476836151, + 199307137, + 802552699, + 529389802, + 40705378, + 279909599, + 637992772, + 939602696, + 766789648, + 413518763, + 305052414, + 898913355, + 176703396, + 67986608, + 757167538, + 975859929, + 496172257, + 87069582, + 692892574, + 90077206, + 175333088, + 287035373, + 914335128, + 187795724, + 638335285, + 797479256, + 278588495, + 187430124, + 675728537, + 634055760, + 768279964, + 286007065, + 793199096, + 712218870, + 315395332, + 127653478, + 197723401, + 729233007, + 908741410, + 827391220, + 517760150, + 497837169, + 522181433, + 196468998, + 58820522, + 675527092, + 642487545, + 880391688, + 298431012, + 603061648, + 395910974, + 891719282, + 813936204, + 297246437, + 663533740, + 724986921, + 274601706, + 802085817, + 145004196, + 640530688, + 741144904, + 87395571, + 636437574, + 971505958, + 908368542, + 668592554, + 852804503, + 776686583, + 841021708, + 987291399, + 187339405, + 10477533, + 997728565, + 197281302, + 390942001, + 15357400, + 524396887, + 223847134, + 763550155, + 216884853, + 791310388, + 572841234, + 195223265, + 970333876, + 953555200, + 23661116, + 548992695, + 11420769, + 499207930, + 959785370, + 701909607, + 896506799, + 888435592, + 272073812, + 337621080, + 373834359, + 213280551, + 952036878, + 259716567, + 178658863, + 218553987, + 288578098, + 529682630, + 801937700, + 957420350, + 624220675, + 284719882, + 848116046, + 129314313, + 978095507, + 992914664, + 861744483, + 571760665, + 98501359, + 864590394, + 378462076, + 703217121, + 931584924, + 969529365, + 461582946, + 547990610, + 802057707, + 435923215, + 430013472, + 696117132, + 421398304, + 386358332, + 594558483, + 557976187, + 388999821, + 36588433, + 716579440, + 850467310, + 751006761, + 857974993, + 462148049, + 640304510, + 14806628, + 511149350, + 134095703, + 91098208, + 245729141, + 571061761, + 357915926, + 772389283, + 836004959, + 886079217, + 895467423, + 816481391, + 733914572, + 737201584, + 303019881, + 171206635, + 239531484, + 277628307, + 864908442, + 970018667, + 394712424, + 487521180, + 587739206, + 538246304, + 975026208, + 971793410, + 385330169, + 105465470, + 432680102, + 665757368, + 329509654, + 244310653, + 756378309, + 423568488, + 793648151, + 647472026, + 549693935, + 239652687, + 355367952, + 620024835, + 128834307, + 327926998, + 123259435, + 22677623, + 328799045, + 174640706, + 485026527, + 390884909, + 877592372, + 492863467, + 547857513, + 540588022, + 581591735, + 834387376, + 657937816, + 458520168, + 360537616, + 391283416, + 778531388, + 581446206, + 536338246, + 977181206, + 436803484, + 214943570, + 145652381, + 766289855, + 656652966, + 3613295, + 468108480, + 419741547, + 883224441, + 612829924, + 972081104, + 347931761, + 39148008, + 856814869, + 891561034, + 869539619, + 309155072, + 859423504, + 990231125, + 621844969, + 841800137, + 786762325, + 883479353, + 813065999, + 92726630, + 257226324, + 902615578, + 348261780, + 794272293, + 150986987, + 307064294, + 10643687, + 75104208, + 60948843, + 188394381, + 859108793, + 796554273, + 491183521, + 315962546, + 896190199, + 698900148, + 293664036, + 385428892, + 462868967, + 900065902, + 204075442, + 698550611, + 173475737, + 683897762, + 147900133, + 585781922, + 469355064, + 943447783, + 567384662, + 813627785, + 78879951, + 742334771, + 899984358, + 588155940, + 920456021, + 778498864, + 363186127, + 190272684, + 703670819, + 628457422, + 822245606, + 732431291, + 315036459, + 221062336, + 397221611, + 225287120, + 66523752, + 108836931, + 677208159, + 134256630, + 881239899, + 890611974, + 205418486, + 843493213, + 491299204, + 463460621, + 516621405, + 109499996, + 88647917, + 742975401, + 479968985, + 157918752, + 755746626, + 322806058, + 925938266, + 950492858, + 138866001, + 594132446, + 330264088, + 154014079, + 139875080, + 722952756, + 240909420, + 751837772, + 512562406, + 194386053, + 864232815, + 948407570, + 818419175, + 2206255, + 492841276, + 747703923, + 41417212, + 696538591, + 233744548, + 313378063, + 348170117, + 526035301, + 19546255, + 641301114, + 447694180, + 748620684, + 303825886, + 337182923, + 220021200, + 553103182, + 606666420, + 966991734, + 871485851, + 959166114, + 47175392, + 60813862, + 394179811, + 924538083, + 809829539, + 946472271, + 800409805, + 390228801, + 190355306, + 650490817, + 640253617, + 829628831, + 118684483, + 392589620, + 916329535, + 761761304, + 751432509, + 876414685, + 900990432, + 650994812, + 552409789, + 837758882, + 281566026, + 376237118, + 737360456, + 571852725, + 653756555, + 892289651, + 863022151, + 292696126, + 509716658, + 491571681, + 812779464, + 535811188, + 449539393, + 185841894, + 353939136, + 426396645, + 64350744, + 324676552, + 948753710, + 44454015, + 179610892, + 908814548, + 897913796, + 284242296, + 317149607, + 360127567, + 572741500, + 635260558, + 10689358, + 606281229, + 980952456, + 382101194, + 10974366, + 99436639, + 694327764, + 830097302, + 921007707, + 148889839, + 768170911, + 464195444, + 409533053, + 214613262, + 414651219, + 668372833, + 948576074, + 336639452, + 948841293, + 253533551, + 744398774, + 661625774, + 263128538, + 445732475, + 699051449, + 999065265, + 863737064, + 708285580, + 727910263, + 693434863, + 324403711, + 314960258, + 874904816, + 464655656, + 42728788, + 944554178, + 935760521, + 32682942, + 226524216, + 321534052, + 219969575, + 63871806, + 423692101, + 814392677, + 832777748, + 393386520, + 331897039, + 247381899, + 911275566, + 604450913, + 933332327, + 460048858, + 415883190, + 38216994, + 182653754, + 967368374, + 382694521, + 952046023, + 578243781, + 260989550, + 59824283, + 520852935, + 596329913, + 516516819, + 458014931, + 614663587, + 122147473, + 581912905, + 953338545, + 542975098, + 50144972, + 613098606, + 11099411, + 102321457, + 954516357, + 901440493, + 386955984, + 896856103, + 897144933, + 72367860, + 233788363, + 691106393, + 583514274, + 369587732, + 360878776, + 172839038, + 264347251, + 604888371, + 923415436, + 838472103, + 237705395, + 777880386, + 316428279, + 99392509, + 908353262, + 245224607, + 539801735, + 596842274, + 83408729, + 459643218, + 7518940, + 944950129, + 175926323, + 74152010, + 81306648, + 275173038, + 800512710, + 973241498, + 265703490, + 690495786, + 135079119, + 758281994, + 249951250, + 284185889, + 241835586, + 56401782, + 109706133, + 730562988, + 867729337, + 373759362, + 607928385, + 343580231, + 427549760, + 123308699, + 35921612, + 689132609, + 771774015, + 906968430, + 32892923, + 713281698, + 412682059, + 646782876, + 841064387, + 605295209, + 543783500, + 625369761, + 205519227, + 822380188, + 206632568, + 251012971, + 745695747, + 196300166, + 892841365, + 78773177, + 985566260, + 969318175, + 683316655, + 837068473, + 791072210, + 243678148, + 140865842, + 72660718, + 881380838, + 538063396, + 37493481, + 509851565, + 20418379, + 526479005, + 732037785, + 477430234, + 527605318, + 73146344, + 625319593, + 160562077, + 741527942, + 905030870, + 41470686, + 754526713, + 559130300, + 753095530, + 631801599, + 369037368, + 520298555, + 711950448, + 954644154, + 707617184, + 358505846, + 219872100, + 524866216, + 998245296, + 718108439, + 324623640, + 406072672, + 272238275, + 842032162, + 892682221, + 967762635, + 915257425, + 718891842, + 137337068, + 981028853, + 24852099, + 518644157, + 416154501, + 975145192, + 882970034, + 762967064, + 452960453, + 714077274, + 368515991, + 92093515, + 883582495, + 350022345, + 972127967, + 897691824, + 862484418, + 50453860, + 765972770, + 776675487, + 220297344, + 719230475, + 734906146, + 466730578, + 109036935, + 488160229, + 275997032, + 510766425, + 986955570, + 629087520, + 994511487, + 465628615, + 227215044, + 384890636, + 532943426, + 887125852, + 305364822, + 923931376, + 478140246, + 642843524, + 120444978, + 16297668, + 476969862, + 699673778, + 245863129, + 24104075, + 88520521, + 604658106, + 388678943, + 202922461, + 399924948, + 557217325, + 676758005, + 579574710, + 523624253, + 681361313, + 510323340, + 149758874, + 769648490, + 826092815, + 350926880, + 653845897, + 797882992, + 86289504, + 773885190, + 628166051, + 427387195, + 922773884, + 880031469, + 845125135, + 504637386, + 935210436, + 545431825, + 885413394, + 830118372, + 707295076, + 343590766, + 892308268, + 432359632, + 307563805, + 846043970, + 676220080, + 721974176, + 922163550, + 377672348, + 74153659, + 487575882, + 208818326, + 808095633, + 617221221, + 96566640, + 662946818, + 113513815, + 322351567, + 784207463, + 26105831, + 285536221, + 768212505, + 469063978, + 965662275, + 271136411, + 349917103, + 922504437, + 446740386, + 870766859, + 956130225, + 456780899, + 243731664, + 938994497, + 676045953, + 411520052, + 829672919, + 395089552, + 856226046, + 826369624, + 574373992, + 629891191, + 387571669, + 646489575, + 715345105, + 449696863, + 483240107, + 920528911, + 611976389, + 385374334, + 208293094, + 938905158, + 891445399, + 492129556, + 233007161, + 311429379, + 909581302, + 672164598, + 859378737, + 30992520, + 546715355, + 859716820, + 581253696, + 119594751, + 383655730, + 806115305, + 749163130, + 11762412, + 900573967, + 546536418, + 365537555, + 716526815, + 687736965, + 552330389, + 419599286, + 549545254, + 813944411, + 179530342, + 919337293, + 326991489, + 470628052, + 360418541, + 46906385, + 623808890, + 26896809, + 741082390, + 898124611, + 874694677, + 655784677, + 673632844, + 616355535, + 722182536, + 396036108, + 558147763, + 869719621, + 31478883, + 302740186, + 559593546, + 182027168, + 170526069, + 321092190, + 229894078, + 276473519, + 802462107, + 457206092, + 130227100, + 416031942, + 526334357, + 254960808, + 485313316, + 335695413, + 829228682, + 624448852, + 799618631, + 925032177, + 60571346, + 691736941, + 392920134, + 786072370, + 507077065, + 55461533, + 650312599, + 425948203, + 94203395, + 458632235, + 506126349, + 595844681, + 147750469, + 883983746, + 192417321, + 936183015, + 11332920, + 28937026, + 693371680, + 601090828, + 402763235, + 898777848, + 684218087, + 690945025, + 388328106, + 304745881, + 397624675, + 708178649, + 605686869, + 347476267, + 484342668, + 978417341, + 528680368, + 704858603, + 522803587, + 136861028, + 730925771, + 716977407, + 76859242, + 568984343, + 627528035, + 779719917, + 552287963, + 316881380, + 484533248, + 695388307, + 15555302, + 75815421, + 574623617, + 551325561, + 972589086, + 977844304, + 25512381, + 147963675, + 923101860, + 747928698, + 705434625, + 370967243, + 898776319, + 804662616, + 700012273, + 321113482, + 852435323, + 42187589, + 587657442, + 98826793, + 187060080, + 269988812, + 757757403, + 580311009, + 807746399, + 832861236, + 261299811, + 792987561, + 42523733, + 442610343, + 718900971, + 205956243, + 780676092, + 592626476, + 901578338, + 81027554, + 229121281, + 709418994, + 294482880, + 891996880, + 934482797, + 253326983, + 742269569, + 935594561, + 449788631, + 619243419, + 386424343, + 905028144, + 663230087, + 411489300, + 235136044, + 175447041, + 167352602, + 402406855, + 641401496, + 110266506, + 868237777, + 374380092, + 609676764, + 16283023, + 478016800, + 921309087, + 437653234, + 102385095, + 646522994, + 807326463, + 175007533, + 400573507, + 765957392, + 304191435, + 994055551, + 843678837, + 863148167, + 595238244, + 678189361, + 442405521, + 309937718, + 733779000, + 998566826, + 325443154, + 290546274, + 351800101, + 774087390, + 56701840, + 766005310, + 502122825, + 684003871, + 167925794, + 997462584, + 862319921, + 643190097, + 184650864, + 348852682, + 722358725, + 508969533, + 371306782, + 251176314, + 199747211, + 275778056, + 995751734, + 469096559, + 550476241, + 772986259, + 437769121, + 812866103, + 987221926, + 341575321, + 200961005, + 604948205, + 991841651, + 410016107, + 522037193, + 622921020, + 82691733, + 448218973, + 568154646, + 535655485, + 201477910, + 747352525, + 779012135, + 374544306, + 563601984, + 434265525, + 61735689, + 789458835, + 523423607, + 781895212, + 222630957, + 256890085, + 693710608, + 746943260, + 458450606, + 7104475, + 223817220, + 107805963, + 663199247, + 525689509, + 524976494, + 147877708, + 92465077, + 958207131, + 393249732, + 1416629, + 496214417, + 181177504, + 96556729, + 290552216, + 842370233, + 863478147, + 681904269, + 601108165, + 431562171, + 5519117, + 592419675, + 989890395, + 736617772, + 867877959, + 151241851, + 986289192, + 266826784, + 36148395, + 814250670, + 394756585, + 53449818, + 995138249, + 618338735, + 331304244, + 637390763, + 936952671, + 552271467, + 640116009, + 578693986, + 227923536, + 142161513, + 689612688, + 738676446, + 696024487, + 447792995, + 713990924, + 13806438, + 60601670, + 131680549, + 223164240, + 25713940, + 323676213, + 300541350, + 444171989, + 494685123, + 190483332, + 819539286, + 238252572, + 168689891, + 880459830, + 689372635, + 404625365, + 812368825, + 979117506, + 811758124, + 859398688, + 164365070, + 389861928, + 853784875, + 796898239, + 854579830, + 533509371, + 456362017, + 800713813, + 331839411, + 717719030, + 56558840, + 285863843, + 553731565, + 979004904, + 714457462, + 930877526, + 833378744, + 495505889, + 865653138, + 13272610, + 678854548, + 347364705, + 877424009, + 931050427, + 275661990, + 690047182, + 88106953, + 526194343, + 488936811, + 797805947, + 591411026, + 597965948, + 648950541, + 556979462, + 308919992, + 888412384, + 127708888, + 637125954, + 911822154, + 539639875, + 760589400, + 458357677, + 109462271, + 844068139, + 86866776, + 54297612, + 254075278, + 792078178, + 187023532, + 958403505, + 351265885, + 960887716, + 961815383, + 827337247, + 141684456, + 753876605, + 873585888, + 166388053, + 259077160, + 512185560, + 11938638, + 736254029, + 166133128, + 629868718, + 530102940, + 689153635, + 477002487, + 42891996, + 302446143, + 982272744, + 911772595, + 154075448, + 750827690, + 212396365, + 159775328, + 2454068, + 763020428, + 932007298, + 78372699, + 728232895, + 279123736, + 576813421, + 901226220, + 11602560, + 512406807, + 147213231, + 618859702, + 365823558, + 477212684, + 732737821, + 80762275, + 906569449, + 344181378, + 573390529, + 132904059, + 279450880, + 384399566, + 718554319, + 827078868, + 227304824, + 177132710, + 463588734, + 979713829, + 340157849, + 535558255, + 150486664, + 164984455, + 3395298, + 475568885, + 248306231, + 59663944, + 409138700, + 565697696, + 769965577, + 178065708, + 955870692, + 27894942, + 366476731, + 225976070, + 398774301, + 193838285, + 791528162, + 148150573, + 446256430, + 984457232, + 932654496, + 533957739, + 38137750, + 978182351, + 307734322, + 531510193, + 250746182, + 412707717, + 608671965, + 124638047, + 322631625, + 954539539, + 934262650, + 49399905, + 911185361, + 262920749, + 433948174, + 593038688, + 878188370, + 819385227, + 496279929, + 359820546, + 956546224, + 494126741, + 447190903, + 599079182, + 412883483, + 891914623, + 401769107, + 411010004, + 927006123, + 995286956, + 41378645, + 885476137, + 371163054, + 428991785, + 412057863, + 416892742, + 350767077, + 322638787, + 528087127, + 581143976, + 126877073, + 609473480, + 774999714, + 895623269, + 480397105, + 990217787, + 497563909, + 72813886, + 595902425, + 99262034, + 229456039, + 589384461, + 359464137, + 548842164, + 610136547, + 485848908, + 495762370, + 783721993, + 353923822, + 853329517, + 637203351, + 757279653, + 515175643, + 39500963, + 252765689, + 247350251, + 774243607, + 453635659, + 173558481, + 906611118, + 189779266, + 244170175, + 903438997, + 665468415, + 309708433, + 299764295, + 230902444, + 646284372, + 489346961, + 617541621, + 32218204, + 253759425, + 831664282, + 944727796, + 644135637, + 508241705, + 881108255, + 784520693, + 829934582, + 461295661, + 719486209, + 207580084, + 941352409, + 40192920, + 197720789, + 530166516, + 494339006, + 640347142, + 990099578, + 140045112, + 523119355, + 882074266, + 506004997, + 530755404, + 637303647, + 431269197, + 16598680, + 927604905, + 682114665, + 684548890, + 926455738, + 940778855, + 239174570, + 518140533, + 110526819, + 608095728, + 926108359, + 892804989, + 301022839, + 393718292, + 504625674, + 394841498, + 725708767, + 39236550, + 662165057, + 574098391, + 55533945, + 819736167, + 90749025, + 126787050, + 850189677, + 637793204, + 709608182, + 514868605, + 562571109, + 25876680, + 607987635, + 76489297, + 457297535, + 65507381, + 588688177, + 927502450, + 763370785, + 378627173, + 347453029, + 322506925, + 441033073, + 548601236, + 526159561, + 329875814, + 938441351, + 321443306, + 233384475, + 680473255, + 282117650, + 648589980, + 377834744, + 116910022, + 736926184, + 310767695, + 344876368, + 692028004, + 344807812, + 144090870, + 68316903, + 439710770, + 222486070, + 683772093, + 956263338, + 205514668, + 611553088, + 815443796, + 69769466, + 95334349, + 826946166, + 402123977, + 433392333, + 826788194, + 208666973, + 302093695, + 119456512, + 585697877, + 762095028, + 958474411, + 299167241, + 440572058, + 441693526, + 544396024, + 736891231, + 405601517, + 768857615, + 906804296, + 561898145, + 968569469, + 71735971, + 871192656, + 900316907, + 129354411, + 290044413, + 919114788, + 409569160, + 832488277, + 16243068, + 870135071, + 945656804, + 443763010, + 622090129, + 885133162, + 930184758, + 466711, + 742178924, + 355155311, + 981792982, + 203993215, + 807962310, + 982185226, + 472029684, + 177130366, + 17828862, + 686898275, + 22466159, + 580023089, + 705824912, + 604649964, + 496165221, + 864735406, + 373851675, + 696419278, + 766993306, + 66346755, + 294675703, + 939295418, + 111054455, + 870326716, + 196252823, + 591255213, + 911884301, + 209579714, + 758549827, + 410116458, + 578643507, + 631413008, + 752897696, + 525041382, + 311783514, + 78719976, + 29350015, + 247413324, + 157105505, + 121616058, + 464340979, + 770574921, + 591538945, + 779853362, + 140552962, + 647114194, + 10421307, + 771830956, + 734580848, + 869955683, + 718577726, + 970920367, + 908017909, + 749244531, + 254787565, + 785516483, + 869782000, + 217876858, + 342768248, + 514884430, + 793006076, + 349806180, + 336142619, + 100809288, + 169429397, + 941934662, + 772810071, + 278016435, + 48508429, + 987073751, + 217875297, + 879511970, + 422462708, + 617043315, + 287179242, + 395521836, + 151002220, + 509117733, + 595360406, + 891204632, + 41332295, + 143704431, + 318650746, + 670619632, + 512410046, + 23094248, + 255890922, + 746638491, + 126033062, + 123476126, + 470641294, + 886013843, + 567137330, + 955507903, + 834985735, + 716191832, + 258902626, + 262626217, + 832010979, + 2243511, + 425695040, + 531378565, + 619782389, + 499607317, + 712012246, + 6083263, + 456339794, + 376891969, + 458783146, + 952470455, + 637477413, + 173703427, + 846812698, + 983142625, + 298677959, + 326967322, + 560559166, + 910326899, + 269783537, + 385704149, + 514451987, + 445657780, + 804842105, + 287336949, + 557184562, + 117202039, + 219885529, + 876671859, + 927638357, + 500194095, + 953219677, + 311369633, + 574091713, + 424756849, + 60015699, + 354602625, + 157943821, + 835463238, + 845915027, + 589796262, + 885248359, + 484772018, + 648467139, + 911607773, + 985624496, + 973197112, + 202428315, + 47191163, + 446307586, + 103648117, + 244225272, + 327188093, + 940213128, + 207856177, + 439088688, + 359491807, + 349788261, + 404188362, + 63136545, + 725989994, + 179774270, + 509771938, + 40134806, + 494219249, + 310076701, + 79312892, + 65472975, + 394785235, + 263099987, + 380753797, + 949353994, + 226640830, + 353834267, + 578730885, + 537234713, + 311719879, + 766100114, + 934917255, + 801422628, + 434959512, + 510140040, + 406378751, + 212315157, + 799560904, + 158878528, + 834230824, + 230160649, + 241769388, + 73316638, + 766603725, + 786418430, + 353704448, + 769490225, + 630468773, + 633982785, + 80462235, + 786080045, + 148061142, + 469151977, + 528065927, + 919048103, + 993220721, + 705409904, + 25424922, + 484307474, + 492176822, + 654525856, + 789200723, + 962965634, + 130178825, + 800327576, + 149925717, + 699186976, + 892097540, + 439412832, + 797746613, + 879489285, + 585470132, + 918919896, + 738735928, + 923944408, + 434784039, + 683120483, + 93223567, + 341919486, + 908513717, + 539087832, + 432531058, + 203463530, + 696928876, + 872457813, + 252267263, + 226741558, + 792938348, + 782079425, + 930681637, + 569590536, + 766718512, + 408696446, + 728896059, + 760291611, + 751033792, + 653554795, + 937503895, + 943682897, + 548615151, + 8161960, + 299476511, + 385534485, + 168535803, + 647506572, + 511596008, + 348491599, + 821892188, + 726886062, + 383588626, + 94104561, + 379204550, + 117715106, + 139105367, + 139815299, + 165417065, + 203487044, + 427050382, + 551214159, + 934504095, + 477663389, + 137088323, + 808507148, + 201789123, + 922282096, + 955132108, + 131387865, + 911228877, + 987295584, + 970795525, + 321315947, + 185839181, + 570665485, + 579391667, + 880808035, + 30772090, + 565511630, + 71097709, + 937361049, + 380889508, + 948726556, + 378113336, + 203372853, + 606196502, + 87766627, + 64136744, + 196188220, + 485219513, + 700721100, + 303916775, + 696140630, + 967877745, + 217885803, + 385590897, + 513324838, + 611595940, + 130580879, + 126141384, + 499038665, + 458887552, + 105498389, + 441273910, + 134046216, + 512450893, + 80369351, + 792783164, + 715879914, + 75521062, + 326721187, + 499063091, + 124693215, + 851711996, + 963516869, + 940833866, + 491500035, + 115114267, + 230355297, + 937708978, + 860098413, + 181922021, + 329624157, + 632145055, + 405574781, + 797822689, + 752356710, + 676540973, + 583070551, + 471639363, + 443628730, + 108228476, + 819138652, + 541983001, + 276561980, + 975646534, + 869281045, + 647898888, + 118315254, + 434633540, + 956678955, + 411373781, + 316361169, + 721490592, + 322543870, + 281046231, + 238758013, + 669165787, + 386312352, + 72560714, + 384631017, + 893959998, + 579854331, + 391944918, + 161713961, + 491574239, + 696922674, + 990379479, + 149588845, + 986174012, + 939732259, + 771834147, + 867839118, + 92351103, + 228590315, + 382761487, + 825840454, + 39352643, + 550989740, + 990378550, + 377911617, + 752798451, + 772227676, + 451378239, + 297164816, + 67622849, + 609524845, + 415189570, + 208241046, + 784407103, + 824264036, + 13567336, + 725632326, + 54096151, + 77454895, + 562116074, + 987609844, + 769772137, + 593206631, + 677261571, + 285000032, + 289113020, + 213168630, + 926697366, + 478963405, + 554278309, + 972438228, + 909545874, + 749730988, + 834953916, + 772076699, + 725239817, + 155001124, + 913515988, + 666212821, + 438541015, + 408742736, + 510973239, + 119066774, + 281834944, + 463685691, + 450937321, + 912950319, + 123280972, + 152821959, + 143131780, + 595876603, + 219394490, + 505525527, + 869529552, + 370429676, + 417010059, + 181223564, + 454097834, + 1181749, + 967831348, + 299064078, + 38439121, + 534561185, + 865786626, + 905674030, + 705801195, + 260743792, + 994046133, + 388358173, + 639900453, + 302810817, + 309338067, + 38988431, + 674812505, + 624474421, + 922386360, + 750052311, + 15562223, + 811706703, + 624150078, + 6115738, + 391143290, + 357787557, + 101226270, + 838025427, + 923931389, + 92540601, + 774770168, + 110825807, + 488008137, + 165271745, + 906730972, + 9238196, + 214978712, + 829021670, + 306669454, + 149167712, + 669643844, + 648623177, + 854517409, + 421717093, + 781070531, + 197009935, + 549914256, + 11987666, + 486044954, + 901495355, + 251055863, + 478287395, + 495995906, + 463305126, + 436519556, + 662093244, + 356916088, + 708797580, + 821620351, + 309954370, + 531420873, + 189861386, + 319664354, + 796101118, + 483340852, + 817270347, + 825615275, + 115429373, + 871717873, + 855487446, + 749806563, + 98347125, + 210058968, + 329545457, + 670584145, + 650318783, + 518786085, + 464411460, + 534342896, + 301506788, + 993386215, + 895219634, + 84381763, + 208451709, + 515987326, + 951793858, + 11335603, + 94159693, + 98254455, + 84905815, + 368425864, + 146356705, + 961492254, + 747722821, + 932227101, + 663571805, + 450105334, + 438076064, + 735959965, + 117615025, + 24489988, + 571262081, + 519336046, + 59361850, + 390613000, + 1882910, + 531036792, + 910728780, + 377376450, + 298670006, + 497794573, + 620983738, + 850715160, + 904396158, + 755570221, + 393623193, + 868995967, + 529858885, + 852812428, + 386871762, + 97703564, + 760193160, + 205238011, + 115360648, + 563739870, + 238072139, + 956372970, + 988591018, + 632658759, + 113544152, + 547499427, + 729533811, + 567636600, + 849957232, + 937776494, + 95767261, + 235447577, + 235029629, + 704702000, + 386484507, + 428473261, + 662775624, + 29834023, + 268937877, + 801618494, + 69172468, + 450968574, + 323470116, + 620162726, + 59844916, + 327052908, + 764103716, + 553941549, + 958484253, + 641627640, + 771587749, + 836160167, + 289347122, + 168572211, + 662518555, + 413495957, + 780421041, + 69764052, + 915578129, + 102823551, + 854438510, + 169788843, + 772591873, + 870666093, + 244608096, + 855293798, + 585981856, + 551280641, + 559699405, + 284735532, + 71348811, + 938890047, + 59610354, + 995283704, + 213064249, + 789846436, + 667879716, + 322579280, + 148477665, + 791286309, + 328376461, + 244108001, + 577550604, + 71214374, + 671116710, + 851399771, + 705750601, + 800687485, + 668855105, + 702645315, + 138316801, + 337231539, + 421765087, + 2646965, + 466127102, + 865766472, + 413132512, + 467514450, + 980391176, + 32951064, + 999690893, + 351170161, + 900857721, + 310629013, + 369769597, + 811476399, + 474488413, + 190045893, + 165994452, + 394221448, + 734846438, + 606223571, + 965171840, + 243003599, + 744401306, + 743309790, + 36021116, + 12376056, + 789073097, + 440579836, + 292925184, + 616124534, + 482362576, + 895383694, + 163727754, + 475407563, + 167443215, + 921867217, + 344656468, + 792203553, + 645296896, + 576087708, + 258869879, + 381305555, + 174753973, + 861298413, + 487219948, + 525196678, + 319099227, + 459745584, + 925563481, + 729275968, + 301549343, + 42119433, + 262266842, + 978288127, + 604755331, + 44824632, + 844347615, + 245995816, + 734213416, + 295634549, + 12317067, + 168752699, + 571210850, + 929657084, + 195630989, + 158367730, + 209109355, + 791508975, + 51235395, + 893950232, + 41403402, + 516294371, + 203219039, + 207812843, + 824677895, + 588477071, + 203873569, + 92265080, + 623564722, + 325934241, + 96204788, + 846632356, + 501045910, + 866849521, + 984006070, + 210429927, + 637032033, + 897755540, + 638545880, + 120479326, + 910282864, + 757220955, + 534625523, + 82641645, + 467341011, + 15953981, + 485647513, + 288885392, + 175412920, + 118831417, + 794981793, + 81937699, + 200862613, + 607095656, + 879536634, + 449834129, + 196910421, + 759714087, + 692602850, + 120293748, + 998796535, + 765092879, + 806127028, + 124172324, + 643891881, + 766010945, + 954796874, + 880542032, + 968816307, + 837175636, + 480060400, + 749823254, + 370337457, + 795188430, + 296426896, + 929407547, + 502992878, + 437575596, + 850757535, + 899880190, + 955755502, + 424555596, + 397724397, + 928279214, + 603840476, + 844244327, + 297637745, + 401684784, + 796258063, + 851678668, + 347395064, + 91991574, + 304908571, + 294739154, + 461067860, + 135740600, + 934493969, + 341665493, + 899843762, + 296580617, + 824063128, + 50782262, + 859738396, + 473042784, + 666916276, + 100245787, + 950414982, + 4092375, + 174727576, + 226392212, + 544121758, + 44354562, + 137031002, + 518339167, + 864063091, + 664252964, + 318517040, + 524110696, + 8787475, + 232454851, + 262039474, + 803053371, + 653792635, + 108751301, + 974759855, + 905176849, + 529953256, + 26185480, + 392195875, + 914356270, + 570892803, + 499674755, + 45773589, + 429664955, + 822121439, + 319180634, + 814454434, + 852709549, + 554979276, + 724364565, + 682684317, + 206510099, + 418666622, + 139782935, + 350168529, + 237394471, + 603520948, + 124282610, + 954285566, + 716714831, + 341893687, + 281511538, + 12528208, + 31926458, + 480664414, + 793832377, + 29554841, + 508959902, + 877751144, + 115195923, + 824580311, + 684744586, + 519928947, + 356064126, + 484051551, + 526657871, + 27499180, + 656726752, + 253869247, + 681392072, + 459581044, + 78738415, + 395149943, + 438036986, + 630066787, + 13134695, + 746779719, + 916562541, + 320200905, + 676532176, + 467701427, + 801481432, + 378352200, + 125429972, + 190782146, + 45635975, + 223317835, + 598339365, + 291280067, + 912641901, + 126299475, + 777672938, + 204888762, + 634906639, + 549850831, + 731441209, + 553241933, + 576897442, + 987044998, + 718961844, + 530579231, + 183461319, + 83610601, + 137506922, + 88532257, + 481184701, + 283821935, + 915754583, + 190244087, + 894264950, + 748945263, + 475021282, + 790461523, + 913113197, + 654124903, + 340593951, + 402539229, + 313040498, + 535192699, + 390685668, + 27799661, + 935318347, + 933281378, + 374072993, + 379253978, + 974143790, + 741014146, + 72163582, + 229669448, + 491059726, + 352412470, + 389600213, + 477460057, + 916656810, + 493084728, + 924702382, + 175982552, + 52367001, + 167667492, + 618364111, + 420749467, + 988024247, + 802619293, + 275172221, + 783309874, + 55318712, + 323717712, + 271365470, + 719253837, + 772781559, + 121676494, + 100473970, + 880864722, + 221641192, + 598618497, + 93070061, + 33904378, + 177136413, + 744364125, + 914045872, + 407847825, + 651368825, + 497748379, + 183677015, + 788634188, + 784812891, + 292271179, + 922010028, + 810681286, + 70078394, + 909947089, + 672266344, + 39780096, + 866201642, + 191872071, + 204829346, + 740155838, + 535930014, + 958829419, + 316446390, + 130987448, + 956066885, + 542295779, + 434318264, + 633945380, + 258570927, + 871891127, + 842409765, + 254828335, + 94208419, + 143724127, + 829416949, + 634725165, + 208721346, + 618603362, + 420499068, + 499282937, + 731289124, + 716903206, + 689187129, + 976908526, + 862069307, + 154110741, + 195576477, + 982338926, + 813901982, + 35031278, + 967325884, + 421083267, + 832412096, + 916169084, + 516776429, + 831598131, + 506607552, + 920820602, + 759890431, + 240492130, + 709221415, + 286713113, + 992765900, + 57149169, + 741392988, + 532151844, + 739533404, + 285416044, + 81191760, + 358147503, + 326815707, + 596426085, + 934597597, + 298511004, + 882115345, + 331069788, + 116497791, + 700101820, + 126112762, + 21948647, + 234419168, + 563602777, + 575544149, + 795346528, + 716860266, + 208500031, + 426250219, + 547249506, + 395761876, + 890354947, + 427805237, + 616758761, + 212696523, + 834249622, + 791387973, + 767421384, + 33681131, + 298249851, + 98350460, + 954739937, + 348736210, + 80558600, + 830015574, + 141566338, + 252660872, + 937189240, + 11972519, + 214515822, + 409096220, + 954469167, + 382519659, + 189423731, + 703031976, + 673019079, + 497667946, + 282504480, + 756198246, + 81533378, + 200430547, + 35093750, + 949358692, + 794644479, + 581871045, + 349947208, + 784345353, + 233015891, + 620509882, + 654290489, + 438383717, + 478927941, + 91672018, + 873084850, + 991058414, + 88513012, + 728726526, + 395424153, + 925772615, + 264460985, + 894018905, + 485779829, + 356332947, + 464679936, + 677167413, + 779523679, + 552356164, + 774324890, + 491145847, + 28419849, + 967343731, + 661187189, + 130822180, + 14645912, + 235832443, + 926042841, + 871146159, + 64539097, + 121070718, + 307437128, + 208854038, + 866186858, + 775828942, + 893993800, + 394478828, + 469840309, + 372445458, + 767819887, + 452865714, + 680802885, + 400285326, + 76024698, + 608956887, + 587469953, + 13247872, + 982282517, + 983734957, + 959937356, + 254298331, + 466956040, + 656719220, + 370657337, + 256910500, + 621508263, + 261565545, + 148487563, + 671413117, + 492784137, + 780559249, + 384897808, + 980642223, + 517318877, + 859879223, + 513656151, + 84484185, + 922555262, + 38415864, + 488064893, + 369431357, + 918375036, + 906046057, + 9623338, + 70787840, + 441804268, + 474814718, + 564203404, + 481536431, + 802008691, + 817296096, + 77312750, + 776312237, + 156914598, + 860996657, + 350283304, + 776316228, + 7655797, + 421666164, + 100458098, + 382193582, + 379257817, + 916944601, + 939469887, + 1456959, + 119123651, + 296189398, + 786375803, + 124278456, + 301272588, + 284300563, + 947044541, + 909214766, + 710653000, + 876929944, + 968437527, + 458133016, + 482556048, + 695317157, + 757716019, + 403294629, + 961274438, + 742062222, + 790127838, + 620844609, + 614866891, + 238126020, + 587621429, + 174144108, + 329949078, + 358775485, + 541210370, + 85799900, + 852338545, + 688247797, + 528885461, + 51880910, + 617169584, + 401802161, + 679174488, + 919579318, + 327408394, + 294351542, + 935953278, + 554517614, + 3813015, + 220109298, + 579319674, + 924250750, + 428175801, + 469953502, + 125896854, + 377203211, + 959541160, + 248660627, + 559664518, + 354945015, + 667780890, + 860783144, + 925979438, + 32481023, + 798663899, + 475734421, + 898680391, + 721184810, + 264528225, + 153634558, + 614986965, + 254999663, + 172316691, + 211186893, + 73611667, + 62267308, + 820204129, + 254333912, + 880100249, + 448387919, + 434117050, + 81258799, + 711611279, + 459349219, + 954628587, + 160490335, + 817234550, + 467485646, + 581825213, + 551025178, + 540974055, + 682032438, + 899158827, + 755793616, + 56947907, + 490977998, + 589352142, + 299663254, + 933928423, + 519398543, + 838064025, + 615036894, + 451161817, + 121718389, + 356481805, + 453614193, + 954490169, + 845525137, + 81616210, + 58124660, + 513054042, + 297972839, + 299779068, + 643857739, + 282552838, + 776361796, + 262089286, + 712556832, + 488584687, + 298047869, + 676764184, + 401662106, + 329616553, + 916303764, + 976502236, + 701256985, + 717338088, + 249129581, + 696611448, + 490725341, + 311128419, + 249205775, + 421180069, + 239697444, + 802122072, + 170438607, + 437608300, + 648887091, + 675608063, + 87109158, + 583422149, + 826314663, + 50990538, + 704081742, + 714074289, + 544490936, + 466984224, + 964059456, + 421784996, + 801767291, + 930252818, + 904618401, + 533444808, + 946778842, + 561824464, + 288633719, + 222152600, + 77625470, + 472609652, + 703507670, + 220379304, + 751955985, + 856253845, + 278290546, + 329189524, + 738359131, + 574769868, + 711170443, + 851031980, + 622968494, + 107060124, + 428321183, + 383008988, + 108046963, + 155702247, + 346796923, + 425477307, + 289183252, + 83858516, + 693108327, + 338049480, + 291354759, + 926840637, + 264331806, + 247638840, + 709693510, + 61528290, + 540471482, + 600411176, + 496214446, + 471631529, + 150618031, + 26146757, + 395433089, + 30488383, + 538040980, + 188490583, + 172917232, + 492363139, + 969414849, + 877376098, + 805622788, + 857786302, + 693553811, + 454721266, + 380823919, + 936864664, + 521417436, + 817099431, + 83994308, + 794037729, + 410387509, + 415538000, + 547169065, + 174922433, + 308760987, + 800584536, + 715484788, + 92396494, + 510453197, + 466914542, + 380202382, + 232627891, + 904021216, + 392914645, + 459194483, + 221619536, + 738861080, + 465484182, + 112619407, + 932177943, + 322219343, + 996493891, + 149029047, + 168094788, + 498564786, + 387572621, + 348032105, + 716689041, + 891765006, + 785176825, + 401745993, + 467791237, + 389426836, + 669393483, + 228682381, + 869831738, + 383777623, + 516564436, + 836264603, + 490911319, + 231280676, + 532242812, + 842891114, + 485420862, + 131845466, + 752412750, + 787614024, + 428879296, + 36724281, + 650798023, + 565148490, + 430779543, + 879868241, + 705929309, + 91315619, + 849945863, + 751934185, + 887813480, + 716265258, + 369891931, + 628224108, + 731981161, + 833257395, + 668049480, + 225286335, + 229852277, + 504159134, + 872686830, + 179997452, + 512157155, + 571303088, + 336312895, + 85488452, + 62761163, + 224651052, + 993663680, + 333462247, + 134513630, + 420070810, + 155252560, + 795545157, + 657606076, + 13213511, + 587164424, + 33672720, + 42869946, + 844791388, + 38393002, + 758911534, + 445172099, + 598565563, + 2912290, + 130478161, + 765412407, + 414574653, + 919217810, + 282853719, + 400330435, + 173444888, + 871645025, + 412502995, + 153207118, + 820402527, + 115405257, + 516951070, + 40576533, + 935044768, + 992924440, + 955570919, + 659635194, + 11849008, + 644524476, + 840479909, + 6038268, + 284219341, + 365659998, + 723999039, + 623435260, + 934051275, + 754260566, + 458048291, + 872221568, + 182691824, + 31215432, + 360710029, + 413634254, + 438969385, + 304214637, + 715802403, + 882881991, + 820453463, + 913410412, + 25350690, + 290064757, + 132713376, + 665986753, + 191175479, + 990421936, + 231946319, + 690709282, + 929079010, + 238473147, + 750528983, + 491678603, + 704267208, + 996904975, + 624685370, + 773727037, + 633674410, + 127670947, + 865994857, + 935354569, + 704544619, + 748902320, + 725017617, + 469305965, + 464871577, + 245007341, + 456000749, + 243921110, + 832487779, + 731858314, + 157581905, + 806086790, + 838756906, + 792625209, + 77400904, + 619123997, + 813340287, + 95319352, + 423960519, + 375501275, + 443182424, + 561434924, + 34228522, + 257918834, + 892553726, + 817853411, + 96708423, + 838041044, + 11698767, + 934554488, + 845650563, + 477869568, + 89180757, + 838104911, + 244158958, + 378168357, + 235354327, + 975840491, + 678283851, + 206827798, + 988189475, + 913256752, + 950552157, + 520446674, + 989827337, + 941804601, + 501162187, + 68123887, + 237274303, + 792495263, + 986644018, + 137296193, + 528772966, + 901320430, + 533795718, + 590523934, + 989135365, + 184630240, + 437351466, + 717270996, + 174770060, + 387816217, + 349942231, + 398305247, + 532968406, + 610687026, + 988686182, + 413560228, + 71210722, + 561118314, + 662974704, + 307321905, + 127311873, + 140973770, + 566134130, + 101371515, + 416511692, + 972201311, + 760524353, + 648808917, + 693308196, + 942424426, + 72478408, + 21123753, + 782686820, + 775560363, + 248722352, + 698222891, + 531064041, + 833843459, + 202432608, + 686646068, + 313352558, + 631312360, + 574710914, + 882969952, + 994842893, + 282199936, + 106172520, + 827980900, + 327820874, + 19967781, + 36264527, + 623691481, + 102581101, + 453289507, + 531463907, + 722169713, + 154937370, + 505638202, + 525560503, + 533273062, + 499216283, + 143071770, + 217654972, + 789947860, + 682664276, + 792103564, + 156381789, + 287876115, + 128017152, + 595747923, + 959554130, + 640312418, + 22652120, + 976513617, + 202121655, + 601614498, + 523061688, + 165711862, + 817224478, + 638062292, + 572229812, + 71015846, + 423876174, + 457143249, + 69109302, + 483064632, + 595054183, + 697776098, + 119447587, + 104386391, + 748328572, + 817124090, + 728328891, + 946005106, + 137125041, + 689700710, + 96364325, + 839161084, + 926896205, + 822147869, + 651577009, + 161074377, + 802827379, + 319706037, + 677389112, + 155934601, + 667593075, + 714446594, + 974735563, + 713450743, + 33303116, + 241794912, + 448556485, + 784530550, + 897586863, + 821151668, + 272129833, + 447172912, + 191216054, + 126651671, + 542743614, + 211815963, + 501183846, + 738017866, + 19604937, + 502514391, + 746671154, + 846293207, + 539573967, + 786709481, + 98031283, + 775710818, + 532147472, + 189007013, + 386004597, + 674890311, + 786576701, + 429484566, + 618747493, + 360440275, + 788818393, + 909359296, + 469307787, + 949418679, + 523870989, + 656431972, + 193267204, + 433055332, + 125313434, + 802587301, + 105013075, + 589864472, + 472322030, + 432673156, + 156259501, + 634376262, + 660464319, + 109407525, + 832055637, + 255585342, + 469849644, + 781099796, + 528831612, + 457794331, + 839365918, + 501586252, + 561739809, + 79268546, + 855962619, + 352092882, + 63647910, + 476122092, + 649642751, + 228185366, + 556211326, + 219461134, + 443882777, + 293768986, + 148695762, + 282404945, + 309226261, + 265109181, + 695232709, + 365950269, + 338719101, + 84039131, + 755988250, + 335007221, + 210668458, + 411433759, + 213092967, + 538455438, + 450814803, + 341712855, + 980587780, + 907889067, + 796923249, + 485558346, + 35227835, + 615755893, + 118302509, + 226354367, + 186213897, + 394030218, + 945229255, + 797256189, + 654550956, + 913907289, + 375358587, + 825723506, + 704092284, + 474967210, + 768909475, + 326029759, + 446157367, + 871240791, + 864489768, + 34315278, + 180211163, + 918567848, + 929989364, + 456240139, + 56316971, + 811948329, + 369246725, + 121365874, + 85278137, + 634778135, + 760374233, + 968129975, + 544781188, + 768215872, + 429796919, + 927263012, + 55203057, + 417783040, + 509828398, + 293092707, + 342517288, + 500929136, + 226332345, + 170784419, + 643826980, + 654571103, + 187786923, + 275543438, + 169791197, + 636884170, + 289063239, + 492547118, + 899220922, + 304368987, + 675622977, + 58799988, + 188126619, + 819367499, + 59734258, + 115014796, + 82858165, + 826332855, + 85751819, + 724009120, + 420881320, + 564321918, + 808140645, + 556952431, + 239171047, + 259770322, + 833465155, + 633253778, + 336030241, + 662320109, + 3221065, + 475042185, + 78047300, + 870487772, + 261710372, + 639332353, + 919745737, + 35408777, + 248590095, + 549833040, + 74786908, + 290009215, + 598063670, + 877208762, + 967065226, + 575992209, + 920274723, + 879041701, + 952030226, + 460772433, + 337498185, + 457083644, + 411888885, + 382780817, + 961889391, + 987974374, + 315631010, + 489353618, + 226883540, + 366820470, + 846699493, + 642847099, + 873902104, + 471123748, + 632159616, + 183152407, + 909924598, + 544166251, + 451529708, + 194192174, + 286731241, + 854787588, + 539141794, + 300938201, + 31963038, + 700969263, + 273356705, + 293498539, + 273914358, + 722435061, + 160677926, + 481355490, + 141771775, + 768025700, + 954559339, + 953271571, + 545713471, + 828589433, + 6224530, + 795811226, + 107174785, + 897200947, + 972007356, + 208212359, + 595229114, + 34492761, + 363504929, + 610150362, + 451152663, + 409452973, + 776079673, + 372473959, + 463090321, + 398836389, + 470996050, + 832524921, + 65450700, + 168283684, + 996195462, + 452298840, + 688156795, + 32709952, + 24748517, + 21167942, + 204081425, + 679429093, + 26442891, + 287214782, + 217680231, + 873016386, + 279283408, + 322390232, + 217045560, + 722924468, + 293345836, + 18754427, + 635567199, + 789908590, + 782755273, + 704373123, + 267156844, + 131929445, + 165768890, + 435870174, + 258738243, + 570830007, + 257339383, + 690383364, + 735971309, + 668440972, + 115816649, + 681397934, + 366206109, + 106801578, + 623445333, + 925702482, + 293328393, + 506745495, + 491209677, + 661396433, + 805858221, + 729411752, + 18102240, + 935667426, + 930089544, + 100030624, + 848038920, + 214269147, + 856730420, + 860330251, + 822816903, + 774399033, + 357633447, + 63030740, + 336198404, + 360077845, + 770230567, + 13039615, + 584108228, + 62528494, + 806993130, + 535125131, + 201864745, + 38437338, + 618320769, + 628108504, + 993652285, + 935228346, + 526559135, + 99911100, + 25379427, + 787792215, + 485008731, + 536503010, + 928083612, + 913027844, + 450946625, + 562601385, + 139859049, + 421654676, + 664766461, + 671932705, + 749479525, + 375369202, + 247437255, + 101119732, + 684784913, + 69723127, + 251759726, + 819661666, + 25611483, + 6425277, + 146668902, + 169987185, + 879309793, + 766220456, + 403014922, + 437003965, + 122281100, + 383775935, + 989356566, + 386255518, + 276418438, + 240985552, + 381363670, + 188596075, + 163327758, + 215243089, + 85191265, + 555625466, + 91586927, + 208523340, + 367563964, + 331606848, + 472530939, + 255008366, + 105595008, + 240642142, + 601947775, + 344202156, + 488390593, + 97868832, + 88884102, + 708409400, + 68344890, + 206635038, + 466156389, + 290142786, + 507351260, + 162567873, + 233905652, + 949181437, + 292311991, + 92887598, + 565145825, + 12328234, + 471378983, + 84903853, + 990035095, + 636671971, + 147700491, + 863951859, + 44683069, + 291797555, + 735061603, + 682305062, + 198529138, + 437791035, + 879637384, + 100275225, + 835116828, + 610521686, + 337051893, + 389319237, + 216905148, + 331348139, + 593625243, + 919748745, + 153423372, + 578473788, + 969188920, + 886294877, + 679575806, + 770288304, + 922166788, + 676176483, + 605366466, + 141650162, + 890687550, + 643980768, + 249934161, + 909458790, + 848329724, + 302426453, + 716733627, + 770910080, + 790052318, + 281435357, + 110130871, + 512922063, + 418277726, + 420074603, + 885280993, + 385211309, + 880250525, + 973086495, + 529635586, + 997478945, + 985474178, + 50937041, + 441522811, + 741858179, + 900589521, + 163984401, + 520926539, + 224450969, + 184923152, + 383431046, + 144351781, + 175424179, + 824025172, + 873700944, + 943923068, + 164413477, + 595684285, + 411361477, + 409371678, + 731516776, + 325409897, + 173863195, + 889011852, + 106974074, + 588575108, + 306246991, + 525876069, + 100854231, + 865998021, + 421694468, + 589486682, + 387925890, + 176933632, + 381882656, + 333800495, + 99150795, + 754470068, + 521862367, + 853583017, + 629335097, + 837262794, + 493695246, + 168826152, + 552747557, + 842333923, + 10955555, + 621977875, + 709090405, + 812325633, + 509950986, + 539596555, + 689518276, + 272658047, + 116421634, + 629130018, + 814621969, + 359751612, + 962766136, + 508103972, + 166715451, + 165304653, + 680508795, + 341284460, + 664059955, + 247574615, + 519948762, + 42610492, + 171646825, + 318794210, + 795663572, + 830139986, + 634507675, + 30772993, + 513979756, + 362477108, + 44486925, + 362339998, + 975333700, + 946101820, + 450727207, + 55890732, + 28136320, + 793818162, + 455903476, + 832442513, + 411216333, + 907624076, + 977247839, + 429522831, + 877326859, + 900520428, + 992814663, + 901045807, + 733442889, + 388514927, + 599951793, + 99558161, + 629085561, + 334285094, + 41746752, + 714099738, + 361175720, + 729138963, + 342056075, + 340260008, + 853589513, + 673133949, + 448927161, + 286331285, + 791175573, + 475120250, + 586255968, + 46459802, + 187327216, + 855747942, + 548527795, + 914317231, + 136901869, + 574108659, + 307230967, + 668948977, + 317611480, + 478763334, + 466576070, + 140358558, + 678890764, + 124005773, + 339978604, + 698457441, + 981535144, + 538903071, + 439511035, + 321941716, + 207975530, + 974780566, + 949014583, + 420904868, + 360699473, + 203865863, + 181619968, + 741724082, + 151397980, + 589495564, + 420196724, + 896655233, + 37788940, + 853423696, + 400139342, + 662358314, + 344501703, + 19313051, + 908146088, + 986763147, + 907157195, + 794508093, + 987440237, + 510750177, + 227968038, + 54451587, + 383318704, + 613424395, + 356868083, + 798312418, + 217649715, + 779214564, + 180715888, + 459948563, + 98537255, + 764559883, + 244937243, + 796207990, + 877694465, + 187680411, + 86185946, + 170708209, + 106400297, + 101758267, + 780558654, + 913987233, + 623074015, + 414695701, + 274205155, + 197937537, + 478892300, + 423593465, + 741023439, + 35376771, + 595887615, + 143377168, + 627031506, + 184663262, + 344750727, + 804285417, + 973688333, + 938187000, + 143472812, + 681075681, + 176513811, + 788821931, + 430369487, + 624488808, + 449340649, + 133442947, + 120026367, + 307409569, + 15110808, + 688104549, + 620418540, + 761310263, + 324298562, + 686010141, + 587893031, + 502399959, + 827160100, + 307539677, + 344293292, + 201063374, + 86265720, + 447278288, + 667219218, + 506586523, + 581006289, + 830610785, + 363199539, + 715011865, + 355172051, + 452901719, + 845500332, + 572349524, + 233227249, + 682981442, + 101141797, + 945585859, + 759142260, + 655460380, + 646237978, + 62014568, + 542381864, + 816885872, + 82784420, + 466213137, + 407664543, + 443173258, + 963829475, + 446854388, + 944188137, + 106711900, + 781834988, + 918145673, + 842727398, + 274422539, + 152236406, + 636243817, + 124069009, + 778908769, + 851862522, + 89514304, + 504283870, + 874401198, + 249398585, + 257973735, + 881269862, + 275009826, + 235365588, + 473670551, + 30258159, + 900004235, + 690219360, + 78287025, + 916797612, + 949398119, + 986664378, + 728627648, + 188340392, + 871103667, + 540433963, + 135888178, + 968959608, + 878793292, + 697413502, + 540662034, + 120289793, + 540027563, + 310974804, + 397773155, + 758656092, + 217452232, + 359468994, + 348696161, + 242091041, + 905123879, + 545672593, + 172430543, + 398292631, + 164015806, + 328592482, + 268815388, + 469593578, + 535993821, + 18522775, + 344783021, + 722899591, + 435025296, + 164428945, + 111029304, + 611953709, + 94222603, + 928623888, + 502628146, + 541866638, + 286471401, + 112402837, + 785896075, + 180622259, + 62911176, + 459059139, + 835737105, + 630844898, + 51865029, + 167251013, + 44729274, + 637725417, + 968448954, + 490538625, + 377479662, + 781038494, + 25660107, + 283004427, + 623705473, + 44680414, + 19777321, + 890788622, + 193709645, + 272351792, + 733545626, + 629116475, + 451374011, + 599165764, + 352664940, + 62494127, + 930521695, + 434708175, + 954662089, + 713479269, + 849848140, + 413673108, + 997639905, + 38770391, + 514070377, + 559166306, + 476575434, + 129562129, + 58433978, + 747688928, + 85247345, + 516878220, + 518268079, + 454947910, + 585023987, + 185304275, + 871149539, + 994207687, + 403923540, + 137079792, + 895505113, + 531882398, + 9154681, + 371804183, + 156694144, + 762712051, + 790784483, + 200047014, + 562603146, + 39402117, + 553598117, + 853287858, + 614680911, + 929000063, + 912196946, + 659326934, + 872596300, + 108750028, + 418661395, + 791426798, + 665665313, + 38313888, + 180332208, + 878741756, + 8118643, + 530861006, + 209450104, + 621078342, + 759178890, + 294005767, + 957703505, + 381343304, + 749198901, + 535831500, + 96513052, + 865495569, + 478889577, + 826231665, + 190883805, + 81186632, + 247807638, + 468427089, + 540840517, + 861421380, + 330943646, + 957391092, + 187501714, + 639382606, + 234906284, + 978408659, + 425394184, + 8071744, + 562127602, + 592592867, + 787485766, + 714933642, + 356568226, + 7506140, + 42403547, + 549272538, + 383149908, + 327074780, + 386141803, + 144996770, + 803134588, + 766997687, + 945777880, + 42674510, + 926367014, + 373504334, + 915599544, + 38460597, + 446445462, + 792467873, + 569617903, + 38546781, + 843922964, + 635457246, + 742550217, + 731018534, + 92117555, + 673674202, + 139653548, + 66810205, + 282113724, + 315774958, + 297766918, + 858607934, + 8504760, + 206842332, + 526450397, + 752276360, + 645974487, + 99183736, + 416974832, + 810449471, + 616582437, + 669812473, + 24552842, + 98108049, + 569386652, + 246806476, + 374751321, + 611979279, + 670461003, + 703761855, + 333650518, + 421155558, + 829199441, + 614530607, + 985247950, + 241285062, + 400761415, + 934223657, + 839306225, + 759161635, + 978247007, + 770735143, + 670969738, + 653699922, + 16664194, + 442566609, + 667536906, + 476536969, + 351853371, + 185982584, + 839689475, + 939927980, + 270006536, + 132924170, + 516273975, + 335284117, + 214627787, + 97662169, + 313546430, + 314665095, + 197551793, + 680540718, + 573897521, + 70344387, + 525706098, + 827902601, + 624036471, + 383907933, + 364991988, + 630890904, + 954592846, + 453729640, + 339496826, + 538862767, + 944908617, + 202139603, + 440539376, + 467662899, + 213082828, + 356150121, + 695309905, + 88091267, + 693004209, + 641630206, + 315622923, + 651941461, + 638168548, + 663022326, + 835338642, + 699654436, + 805325609, + 322453894, + 864187717, + 717884130, + 903810129, + 523936908, + 764116872, + 904572820, + 739365368, + 98670736, + 479056072, + 568605872, + 159933152, + 628092432, + 964121435, + 971690800, + 436749224, + 26428634, + 50718733, + 617714589, + 77779308, + 173058146, + 187694340, + 904493570, + 262091440, + 104246361, + 32415915, + 362890376, + 95100880, + 563052197, + 930563670, + 220230810, + 383454239, + 95494752, + 553042284, + 883739285, + 952981538, + 520223399, + 252374125, + 528567522, + 466435947, + 514359509, + 950061486, + 446626983, + 7089685, + 532575016, + 809167840, + 75318249, + 919363086, + 813739209, + 896314756, + 36823111, + 114254456, + 915853945, + 407758907, + 143782043, + 793426357, + 535363257, + 337797094, + 454876306, + 214434596, + 789065420, + 670971464, + 213638622, + 874292602, + 702292668, + 671688023, + 690672453, + 840361284, + 736295080, + 864147838, + 501265971, + 18956078, + 479263395, + 208228205, + 370710365, + 575375738, + 162914563, + 698072055, + 512977843, + 16976227, + 390690955, + 785716542, + 1140312, + 976035546, + 941144837, + 168644833, + 901269567, + 991997187, + 210672986, + 633230536, + 553018208, + 510682767, + 760250034, + 952132588, + 377776054, + 615384332, + 192461022, + 412503446, + 257333794, + 293162977, + 541897873, + 665777401, + 665111888, + 671790569, + 364144796, + 967421168, + 512118546, + 483785832, + 683623789, + 843443030, + 948189737, + 639776275, + 63985105, + 691713312, + 805200323, + 386134395, + 912739240, + 673166364, + 110541520, + 242270560, + 955202082, + 436227462, + 277625266, + 959148158, + 586149252, + 958576913, + 235164190, + 224157792, + 440243691, + 76621364, + 12479290, + 664815559, + 813266023, + 694483564, + 722444986, + 689911403, + 708481260, + 96192064, + 892432256, + 196852793, + 759960740, + 497734439, + 122902177, + 361185801, + 612879452, + 237985314, + 257119292, + 857924927, + 116144304, + 468818202, + 618560287, + 406066790, + 324294636, + 818173397, + 408144715, + 551973393, + 418631114, + 282270075, + 944706957, + 692688623, + 177335195, + 967050179, + 13683178, + 289139002, + 757153818, + 6191609, + 316980614, + 134070139, + 281514265, + 463841842, + 461764110, + 162336797, + 160424569, + 892466450, + 937025911, + 271552615, + 153192150, + 709055503, + 992166486, + 53676242, + 475922941, + 334821416, + 408172256, + 482326707, + 510543603, + 215409406, + 136113689, + 276686878, + 747258617, + 63128999, + 513201025, + 611357914, + 44650280, + 546177989, + 900930584, + 111141125, + 241706621, + 24069621, + 2033949, + 670333178, + 339387875, + 276895464, + 219557013, + 377886559, + 35636058, + 138684085, + 977759263, + 276055927, + 83146771, + 181466577, + 586615151, + 508757819, + 838960644, + 848897799, + 987429562, + 814816063, + 434775108, + 486805627, + 901642078, + 837434682, + 568834165, + 564085526, + 441904833, + 574163056, + 42795809, + 295861173, + 65315763, + 836939794, + 574619030, + 836081181, + 883614369, + 452107193, + 216452633, + 368084015, + 65655811, + 77580935, + 460980448, + 238808856, + 125873097, + 118861280, + 5374756, + 420768156, + 975306034, + 658076922, + 698581433, + 20305148, + 921202839, + 417255187, + 712371769, + 475753926, + 607016659, + 208957309, + 461972270, + 890146165, + 310669128, + 476203270, + 848134778, + 875165059, + 269551972, + 527872355, + 16944336, + 497556689, + 338989073, + 632217660, + 850476997, + 617793137, + 145872261, + 167497040, + 507605611, + 823572637, + 951023632, + 93089555, + 132862169, + 862981744, + 433094440, + 940735622, + 129493824, + 208324422, + 136659048, + 203543412, + 466418025, + 691690535, + 405250325, + 298304940, + 527772023, + 37125900, + 149231270, + 60986733, + 171685200, + 180023381, + 907899765, + 835975113, + 223677287, + 726731769, + 964098419, + 609912187, + 392356318, + 87427754, + 101071322, + 629025163, + 117885245, + 590708906, + 328847949, + 520128908, + 404442726, + 580388479, + 911463296, + 922856533, + 533179046, + 501365064, + 353875685, + 492155311, + 912724262, + 548039836, + 842602983, + 737568717, + 318130294, + 303274840, + 992725316, + 843051108, + 54034634, + 923979487, + 705765036, + 811910350, + 840600724, + 384252941, + 166685811, + 909197781, + 99112191, + 127799424, + 742592856, + 968024089, + 736939479, + 543322669, + 48855888, + 788295398, + 427431347, + 677555701, + 923504210, + 537060550, + 523211122, + 23985247, + 586458655, + 457254066, + 893372943, + 700152132, + 739531166, + 45904730, + 54123127, + 916042722, + 851586820, + 465659068, + 651146116, + 534482593, + 260926820, + 61781956, + 490872389, + 577487034, + 690717759, + 229966902, + 398884109, + 195886757, + 255929502, + 156589692, + 554653070, + 304979878, + 299143461, + 351696910, + 767854318, + 552596379, + 184467030, + 492612881, + 278815150, + 305206799, + 105331684, + 653418189, + 425444827, + 340857074, + 281243931, + 17082301, + 158856171, + 780445885, + 211160686, + 595998461, + 881942570, + 475933886, + 241079928, + 20886539, + 719278216, + 614395983, + 648341394, + 105345861, + 794616121, + 994205952, + 627897545, + 50714456, + 11965472, + 635051662, + 905677612, + 616061332, + 685429660, + 543742574, + 84319467, + 843021551, + 562636008, + 478239558, + 680931897, + 457088943, + 462254530, + 515157094, + 863729039, + 495653364, + 571039049, + 82166414, + 531458589, + 574053918, + 545711741, + 30922289, + 584448998, + 659040254, + 849334987, + 65042771, + 782094846, + 342440402, + 884464429, + 342285886, + 579646744, + 573548, + 840240468, + 483498672, + 653327427, + 909488454, + 281871374, + 726238845, + 553011301, + 40041876, + 747339987, + 623895369, + 839263852, + 739124955, + 728871220, + 162114481, + 808463245, + 603308853, + 953174982, + 932393623, + 933011718, + 733573949, + 336238011, + 392324076, + 42984483, + 205887927, + 243788112, + 920585637, + 472842536, + 399308536, + 193325325, + 795694951, + 577035047, + 31185985, + 32271103, + 478018371, + 46235443, + 161188091, + 252710958, + 471606155, + 852988790, + 856164213, + 261632795, + 177719305, + 38338399, + 402509637, + 969367904, + 834152735, + 66694088, + 546490370, + 344340916, + 229996729, + 703345365, + 271238189, + 277604501, + 169508644, + 18697593, + 589639073, + 842795914, + 375838048, + 488071695, + 356906642, + 797068447, + 872696346, + 19640488, + 39656132, + 524499898, + 286562376, + 530138833, + 529519019, + 256246978, + 224171753, + 982741754, + 454414383, + 325929538, + 673361040, + 266768340, + 708998031, + 144669929, + 412628731, + 925184897, + 145692923, + 441679527, + 491457425, + 821293285, + 682553585, + 102687487, + 746211770, + 911746071, + 446314495, + 457154232, + 37660008, + 142541984, + 745214008, + 479041666, + 559696863, + 649801948, + 263553218, + 42953594, + 737391787, + 569498224, + 964599086, + 197502025, + 747794014, + 175506564, + 903799602, + 240075777, + 924005182, + 617410682, + 365958374, + 277437243, + 618184396, + 34732255, + 271938477, + 423939921, + 387219346, + 621680439, + 580886712, + 863603961, + 511837627, + 215987410, + 175649319, + 200132118, + 161594754, + 170496207, + 171771615, + 348042998, + 537227810, + 496357969, + 488138289, + 499987947, + 711519082, + 464232646, + 334479001, + 424989750, + 839975949, + 154638457, + 151000242, + 213847755, + 711292058, + 567393877, + 965126624, + 702781156, + 611197870, + 567112308, + 216116951, + 687876461, + 186847750, + 608520166, + 700112587, + 112003489, + 975948010, + 357297650, + 747573730, + 917270048, + 577302003, + 597468686, + 463023648, + 407317915, + 581654034, + 295641574, + 670352699, + 673551745, + 644542313, + 97137504, + 105715704, + 7693737, + 196685331, + 503375863, + 678269729, + 92594379, + 188110722, + 358741325, + 562616795, + 469312313, + 170455130, + 502918511, + 895156619, + 387657986, + 216233607, + 133908502, + 59238313, + 629517666, + 513620799, + 147090546, + 578827177, + 526231196, + 538818330, + 115071375, + 857558531, + 742149129, + 208987557, + 238588524, + 775588797, + 561048920, + 334022514, + 231341338, + 964361740, + 932787923, + 763845565, + 532658257, + 809376300, + 495047226, + 394564424, + 849976505, + 32697161, + 55549731, + 958606132, + 689295682, + 942001834, + 671187135, + 754144122, + 529984238, + 924818941, + 141537498, + 60962682, + 828858889, + 920549848, + 830772301, + 804445022, + 339107343, + 627845244, + 317197895, + 911362864, + 772952749, + 543326850, + 520732558, + 504690170, + 492071011, + 500099313, + 949506150, + 716084397, + 571456853, + 407985680, + 899431821, + 166646875, + 693431229, + 53106786, + 894538489, + 159077133, + 293224366, + 204198544, + 694637751, + 1782490, + 798981851, + 904317996, + 877305846, + 170337790, + 376369792, + 300833231, + 139668557, + 543989833, + 644479249, + 622258788, + 450692951, + 201791495, + 425666955, + 964809189, + 526014855, + 333061178, + 702838638, + 627192765, + 181541954, + 964147496, + 893024696, + 282837237, + 602216867, + 453529401, + 416565624, + 899943478, + 974728421, + 55784462, + 516269, + 92364448, + 981639016, + 373044212, + 540319200, + 952305647, + 523850372, + 419411939, + 615938190, + 200855434, + 192274936, + 133846781, + 669240518, + 287422916, + 255991470, + 675878484, + 938831191, + 777594139, + 332841653, + 321480413, + 387053759, + 169525154, + 275165268, + 879573694, + 758431066, + 923311498, + 907602165, + 97130602, + 288693361, + 362125318, + 927889343, + 855880360, + 606420109, + 421292364, + 393121946, + 615802713, + 187475516, + 107457080, + 713183189, + 865111159, + 49985581, + 486816259, + 628477652, + 280906954, + 781860409, + 364200085, + 465442321, + 545075984, + 543886619, + 803333491, + 794656290, + 641553340, + 163638674, + 15844931, + 582695550, + 57792730, + 124325857, + 180896528, + 289595703, + 378937261, + 526247606, + 323766544, + 827784888, + 885482976, + 596474681, + 619235220, + 206389786, + 217080550, + 841124191, + 392138867, + 719742449, + 729242435, + 558621658, + 152686207, + 536975793, + 277647347, + 738104266, + 912966635, + 225058960, + 721867639, + 944739152, + 54371179, + 109774262, + 544427514, + 748665679, + 16676391, + 876439945, + 238200118, + 38086185, + 578168449, + 887047362, + 909454392, + 857278239, + 171298684, + 882094671, + 249178401, + 727106370, + 42281941, + 700811582, + 70804240, + 892137899, + 262409521, + 314250149, + 164516856, + 231707145, + 403322444, + 26578977, + 137281825, + 710481198, + 909342558, + 843242938, + 241916189, + 941928915, + 515459071, + 296660300, + 274893369, + 215652305, + 517864806, + 248196426, + 73051430, + 387513344, + 192709819, + 999038705, + 444988370, + 315056214, + 779020211, + 574234783, + 801549459, + 571614345, + 203810805, + 22067865, + 357176261, + 51624199, + 475314386, + 492934588, + 312387109, + 956069660, + 167191543, + 814221837, + 428181676, + 813813641, + 692700998, + 885146730, + 497477584, + 771209185, + 769672053, + 943640467, + 422049880, + 8166387, + 144071157, + 712122089, + 428134652, + 996682950, + 610295392, + 11449564, + 229463642, + 298071971, + 794035438, + 325145849, + 934274942, + 429581097, + 765500374, + 447460691, + 652062385, + 862651925, + 66587892, + 51366049, + 996194151, + 829909227, + 397870340, + 508703487, + 383967602, + 705202767, + 51719691, + 849443271, + 256734599, + 593418845, + 358167646, + 710844184, + 633935131, + 821295524, + 660473185, + 191154226, + 705583180, + 649952674, + 643409099, + 547203014, + 38597166, + 544488564, + 504138314, + 416271498, + 252795865, + 312901648, + 575774107, + 3828794, + 424850128, + 72997672, + 8532913, + 435995251, + 863730491, + 883224721, + 95296476, + 877631371, + 350355084, + 994140496, + 642757524, + 755526044, + 973436934, + 825138204, + 532493786, + 854111739, + 770310875, + 329004771, + 131352650, + 28032416, + 24482178, + 697723310, + 535289716, + 798465988, + 967346905, + 388813747, + 770880011, + 490224355, + 281919516, + 982981851, + 244024512, + 872097397, + 519448605, + 128916359, + 339114384, + 487550442, + 638124281, + 854674609, + 76041989, + 781279832, + 519218702, + 232662812, + 388837678, + 135439941, + 87092666, + 767282990, + 97651678, + 766136790, + 987342206, + 165716370, + 574048967, + 173267713, + 137638958, + 169862899, + 598415538, + 953703835, + 55201691, + 437912217, + 811661738, + 290159340, + 71243031, + 19811541, + 422869858, + 158739031, + 699551385, + 674563661, + 872473268, + 578339553, + 774058843, + 822267218, + 135691519, + 863981553, + 570123713, + 754411196, + 979632395, + 658378112, + 302960373, + 540511194, + 23743763, + 853054676, + 23316229, + 85494958, + 337371784, + 3303379, + 380211156, + 879633311, + 252240431, + 198324599, + 804349313, + 579772152, + 933920955, + 701666603, + 896146672, + 742193299, + 721317928, + 980950804, + 942190731, + 619435573, + 951464379, + 683002249, + 66397949, + 964800454, + 255491445, + 251481889, + 72926474, + 401990749, + 16147204, + 128664366, + 968448338, + 892994461, + 685120593, + 888586694, + 828615719, + 771986912, + 699931807, + 130223076, + 205345656, + 486492247, + 793068177, + 744887115, + 23373833, + 521609900, + 630283475, + 239381219, + 148945759, + 652553768, + 384695381, + 76410096, + 439613585, + 116293204, + 893097062, + 671797526, + 559692730, + 106118216, + 253208749, + 840787382, + 584324576, + 109882531, + 744772066, + 965821295, + 958125497, + 639765378, + 854252127, + 353767454, + 71154219, + 261001628, + 445668931, + 471849882, + 947075382, + 161131719, + 911457694, + 373776233, + 527385614, + 890618779, + 998729426, + 388088769, + 616213365, + 91827479, + 573292220, + 320891800, + 57214091, + 693135527, + 642022667, + 682907114, + 444462650, + 271748110, + 703625472, + 986512877, + 141574511, + 310019269, + 404500548, + 491405546, + 830657411, + 192762859, + 473380276, + 334468282, + 176477825, + 616041326, + 251692895, + 897327486, + 475849746, + 286184737, + 358869759, + 916311503, + 372214435, + 241067600, + 420974256, + 992024710, + 669125802, + 887301199, + 386324526, + 207312838, + 689587193, + 219795312, + 644637052, + 442063803, + 487298461, + 803385223, + 942058159, + 264462202, + 983546900, + 811673194, + 830995380, + 273268101, + 182185290, + 586669378, + 425076991, + 556480783, + 787907006, + 884882496, + 577674966, + 992467307, + 620558966, + 797232951, + 980439686, + 117525297, + 657604150, + 642535044, + 412360169, + 126747265, + 879047479, + 402619496, + 336117928, + 581552705, + 497351069, + 911702844, + 2057658, + 811829527, + 93137978, + 67749751, + 220579101, + 289819696, + 73414553, + 616104959, + 707151512, + 297486800, + 711676927, + 108720652, + 824695548, + 112213701, + 208346433, + 172914732, + 287709512, + 705616061, + 228055102, + 115850219, + 13017878, + 413622925, + 740842844, + 858234122, + 25535891, + 393419522, + 904678570, + 859820259, + 673762245, + 643463919, + 699414796, + 294540779, + 374113268, + 194912514, + 533740615, + 996836580, + 204595742, + 104878149, + 550127469, + 201312643, + 653615212, + 748673664, + 612185639, + 262811721, + 872364838, + 499119915, + 338827429, + 42528237, + 51082089, + 642407015, + 898466798, + 799628134, + 44828523, + 304267310, + 195325482, + 558471436, + 735475066, + 271280981, + 393052951, + 131948653, + 932597088, + 923122865, + 183950556, + 312460212, + 415438966, + 710646663, + 615462543, + 852232865, + 596950847, + 531925377, + 967926728, + 612521585, + 410498078, + 198622289, + 732196545, + 960479074, + 70825295, + 278701530, + 15118102, + 336209173, + 672949353, + 225636065, + 933061244, + 185006178, + 470786479, + 651861298, + 453237366, + 535894388, + 190609735, + 618151090, + 941483477, + 802408310, + 666293154, + 986697604, + 167555482, + 756175351, + 783016410, + 334619546, + 298303083, + 389034042, + 510813425, + 102372837, + 372050496, + 268346617, + 888684233, + 511466864, + 330723533, + 801940023, + 852913957, + 927784526, + 922572004, + 897457993, + 101886103, + 781331239, + 435734887, + 191261161, + 781282816, + 126213642, + 795692605, + 782173337, + 479625132, + 367749463, + 291398424, + 725330704, + 324911728, + 467392326, + 652057351, + 912142883, + 388637314, + 184344520, + 325234170, + 212443695, + 225289743, + 211261276, + 835598193, + 194576367, + 431073784, + 266996321, + 119113863, + 680028321, + 17442043, + 450484345, + 467278657, + 875772739, + 930217166, + 810984637, + 697545879, + 333373148, + 104037288, + 147396570, + 61311230, + 594174106, + 45928872, + 562078999, + 435621310, + 683594762, + 254564888, + 187688010, + 197855843, + 20285429, + 906985481, + 373368102, + 759471660, + 558168297, + 622805208, + 454430905, + 469509557, + 285887140, + 408723396, + 726628940, + 103133008, + 102539582, + 697333038, + 102151737, + 125118053, + 992363783, + 846367604, + 143105301, + 430129285, + 997708497, + 114319657, + 492057562, + 611935769, + 59847535, + 456535574, + 930408220, + 974310721, + 501125541, + 964000378, + 512448382, + 626981387, + 260128946, + 797629713, + 361622266, + 5909026, + 999422221, + 576215674, + 671149426, + 724280309, + 340075159, + 932902623, + 901092639, + 897853181, + 760468043, + 875553241, + 736281344, + 946174836, + 65130418, + 300636388, + 478019324, + 589556362, + 168001393, + 899983754, + 243924386, + 946117138, + 246899459, + 389813433, + 145502041, + 97252856, + 271190419, + 42453092, + 793702207, + 688388228, + 461877404, + 793153865, + 480702996, + 262150883, + 286061157, + 44546660, + 232057617, + 146494907, + 412034503, + 292867368, + 427469926, + 762515305, + 932982320, + 259014176, + 19980860, + 973583021, + 842042647, + 471403714, + 483438583, + 920460190, + 142721205, + 944425681, + 991391971, + 791171386, + 310874482, + 533414448, + 703941988, + 634262878, + 305748229, + 970753216, + 45447909, + 33064018, + 550923388, + 590054924, + 222036896, + 292568785, + 985020589, + 470678552, + 299062560, + 111887459, + 941437539, + 950992385, + 42412256, + 168488631, + 386549325, + 743043916, + 31635899, + 963461494, + 242111356, + 871667535, + 40049816, + 478206881, + 239556250, + 797117073, + 659780339, + 568611719, + 828498817, + 857696017, + 305049086, + 409797324, + 361929037, + 153920519, + 877877485, + 759933952, + 672972217, + 505841239, + 47294425, + 89185316, + 566634188, + 812434890, + 653246171, + 712292314, + 690815767, + 808225669, + 170977580, + 868025440, + 304461191, + 648881388, + 792483224, + 606430274, + 199946391, + 317309123, + 519327574, + 585272936, + 187354928, + 337691462, + 551010841, + 940320937, + 208673977, + 126939957, + 135138938, + 567096644, + 633221472, + 721605616, + 93906439, + 875348163, + 562306156, + 774306611, + 405609305, + 216433975, + 584333463, + 237597000, + 103716686, + 207111498, + 797964130, + 606803935, + 561925061, + 736154123, + 43072834, + 635777801, + 261911303, + 563553923, + 2743470, + 708475215, + 418113744, + 266429444, + 265724394, + 152695767, + 708774127, + 638030237, + 679561514, + 405432359, + 293833668, + 138977136, + 398893572, + 985549285, + 194245117, + 700946080, + 723926972, + 46284155, + 598679148, + 2476156, + 754462969, + 30549998, + 187116440, + 174159601, + 620008630, + 240015176, + 16044992, + 710672239, + 683615516, + 283391334, + 928225611, + 896353220, + 583963438, + 302766567, + 612320608, + 470834019, + 699990358, + 141066015, + 717993424, + 939098960, + 529261407, + 795615926, + 510263051, + 820930451, + 810634249, + 739913747, + 673556647, + 502064056, + 690603371, + 156936260, + 922879980, + 432958771, + 433141733, + 105360318, + 22337468, + 692644007, + 555819134, + 47139922, + 98422979, + 414329170, + 282302501, + 123449688, + 641172423, + 101323749, + 542821350, + 64922671, + 904065950, + 442703928, + 790223573, + 115124191, + 459027780, + 52023842, + 432861497, + 347267220, + 871748824, + 26345040, + 588357627, + 27942653, + 683870853, + 855766141, + 580297318, + 373175417, + 750028534, + 603873982, + 976672331, + 938914081, + 45632328, + 528987096, + 309572911, + 733902097, + 25594077, + 347844683, + 834127886, + 640125677, + 749385982, + 296511792, + 284349641, + 472062449, + 856180710, + 98249532, + 914702275, + 174400365, + 277590703, + 469579240, + 178875769, + 795962270, + 975584957, + 430226765, + 40507460, + 29143593, + 60730283, + 1299511, + 628474795, + 447288855, + 465329193, + 122615316, + 386072876, + 923298507, + 190658909, + 13119769, + 888490648, + 257556540, + 561341958, + 339394710, + 295753954, + 118485507, + 202387935, + 690807430, + 969804689, + 558138098, + 176688191, + 767937348, + 918612975, + 921183393, + 913051011, + 786791575, + 990585885, + 603824399, + 132073529, + 339658124, + 564826620, + 984122679, + 470971076, + 649293664, + 864579736, + 5093252, + 720418591, + 265465508, + 120628545, + 774313336, + 396087171, + 318857761, + 813188721, + 45179827, + 687577319, + 89998955, + 58574170, + 774875214, + 739263246, + 29384005, + 37702632, + 58537191, + 107620223, + 639264915, + 281312964, + 909458555, + 947241030, + 748937888, + 175857638, + 176427891, + 110304581, + 180301058, + 3661706, + 33639313, + 84524157, + 396614043, + 91970406, + 432746632, + 617107160, + 882939726, + 622212814, + 970011713, + 782416966, + 597698336, + 567423121, + 405914026, + 862770284, + 390125804, + 973966271, + 309845983, + 254203688, + 441590872, + 963165537, + 748116026, + 507366211, + 99656805, + 427548474, + 290329375, + 576179823, + 378502933, + 612246305, + 397197886, + 127842377, + 177988780, + 177507337, + 185825839, + 121744503, + 832622252, + 904950004, + 565038994, + 41467535, + 283225272, + 160553908, + 384274043, + 933122299, + 810965893, + 606910257, + 489262321, + 729258533, + 123754693, + 538230679, + 134769669, + 545270361, + 455715563, + 896887510, + 192683218, + 767688662, + 636466895, + 891390597, + 63379606, + 493509559, + 36140688, + 336546093, + 401483149, + 106730693, + 440030626, + 701725941, + 890903593, + 344852305, + 991021987, + 420316086, + 513578355, + 424637310, + 982385452, + 140035148, + 632786899, + 179327061, + 864825647, + 186672638, + 773575214, + 930524785, + 252908514, + 516572888, + 649008976, + 235188047, + 177859665, + 67103358, + 389556595, + 975020481, + 410671543, + 119903504, + 455270180, + 59672004, + 799464605, + 281870832, + 28302160, + 855967333, + 342796966, + 170854259, + 261109786, + 685818346, + 732898664, + 690516263, + 868175314, + 596310147, + 913242241, + 854232764, + 134069343, + 727604274, + 202908183, + 446392695, + 19606332, + 846306897, + 465972730, + 892902621, + 161656885, + 527664776, + 395935107, + 182115395, + 871903073, + 231094142, + 486318713, + 821001808, + 838195046, + 834823059, + 217004377, + 924106551, + 989063820, + 768968652, + 606096321, + 146175990, + 614461446, + 792471439, + 870600162, + 756806650, + 384666549, + 512794389, + 418691417, + 306837201, + 76286206, + 701789843, + 767408172, + 411864588, + 730582386, + 412787719, + 497469416, + 697515168, + 595095072, + 416537109, + 469458676, + 385469531, + 695487626, + 377557857, + 891705906, + 970962357, + 341929442, + 642202624, + 567891479, + 431108097, + 593678314, + 917889312, + 705953653, + 382129331, + 547039650, + 35017396, + 814175751, + 295723452, + 613616995, + 20099072, + 574186044, + 170487707, + 984972517, + 488343722, + 940824309, + 492591919, + 209445780, + 413737042, + 597107403, + 34752340, + 877976842, + 730171682, + 184852249, + 820098056, + 337951794, + 131254735, + 802740879, + 439948946, + 523005955, + 288401562, + 428691835, + 200954461, + 25827851, + 526115199, + 391665759, + 197785840, + 424821590, + 546009823, + 724127312, + 113823477, + 788940310, + 330958005, + 283516308, + 102242832, + 636516458, + 463602609, + 345554800, + 109281356, + 277204845, + 461322007, + 787979587, + 679689355, + 952493533, + 882292877, + 955139649, + 29529529, + 567783705, + 717792082, + 300802428, + 919410685, + 366629501, + 331111067, + 509399791, + 815963447, + 599467467, + 878893565, + 419423586, + 471358511, + 237504256, + 819450587, + 153136994, + 916585026, + 453448725, + 780363409, + 902060263, + 753605562, + 882142201, + 180183209, + 233212869, + 755392259, + 754405153, + 787496825, + 75789668, + 86828644, + 925711873, + 198304261, + 631189285, + 202737017, + 581323839, + 314289139, + 8190635, + 362488030, + 981011289, + 561221671, + 146569183, + 749517803, + 300398388, + 649406309, + 870736762, + 139809449, + 725368630, + 41218295, + 168306679, + 217806732, + 733359658, + 38321435, + 219408894, + 773653719, + 343162300, + 138846111, + 523979643, + 771173464, + 288562185, + 463108743, + 776060174, + 731563636, + 968532695, + 303541014, + 996176357, + 511658734, + 12388040, + 497463648, + 673837929, + 270458666, + 987639300, + 3189899, + 601567436, + 506409190, + 484397217, + 59262287, + 576643563, + 595162455, + 249889979, + 185105863, + 312026612, + 675098123, + 53914180, + 77017127, + 649144729, + 564024223, + 975088830, + 670669143, + 284913492, + 680514905, + 470411125, + 121706766, + 248666714, + 416157673, + 719805490, + 266640447, + 9142116, + 471879490, + 433225354, + 768203371, + 106906336, + 95002365, + 915692307, + 182623884, + 122999673, + 850067910, + 588975298, + 562663716, + 381679088, + 318782017, + 980636706, + 344852410, + 294544256, + 749992337, + 47947646, + 567838636, + 159758838, + 325507522, + 13727067, + 84847987, + 802830161, + 980431195, + 389263239, + 228414775, + 106026058, + 979527013, + 741236442, + 242089696, + 293280297, + 111329394, + 957440228, + 431939072, + 688756619, + 338330305, + 358807818, + 739951106, + 920145848, + 800071443, + 446797790, + 856931945, + 930703346, + 651895374, + 691955141, + 15353968, + 568131368, + 82116936, + 568034940, + 449591222, + 790583271, + 868405479, + 447946956, + 637593212, + 4013086, + 380484775, + 858868169, + 656647641, + 550119671, + 489856533, + 802014694, + 600495273, + 813058922, + 843527285, + 288142472, + 750286132, + 810334536, + 145025198, + 796644276, + 132330164, + 621451686, + 55041365, + 121840625, + 942700715, + 324853889, + 759068246, + 500930641, + 579526824, + 526176032, + 976256307, + 911675065, + 680466653, + 698406177, + 107313220, + 460714315, + 482544776, + 563034282, + 625815097, + 355570502, + 13418757, + 240018175, + 627251813, + 871476826, + 531020103, + 839340558, + 369871222, + 970316765, + 2236561, + 721965137, + 589809684, + 778062565, + 443280537, + 475583499, + 509039217, + 43985312, + 114956511, + 596656795, + 331526489, + 2366185, + 283163991, + 897992156, + 78210158, + 625085925, + 768980660, + 567786546, + 792170691, + 709386877, + 698003959, + 567176221, + 668051681, + 900821921, + 383802451, + 470576833, + 392244288, + 265876872, + 10841287, + 671261813, + 48743517, + 799882228, + 204731129, + 885433590, + 490002786, + 156047812, + 311460050, + 309670284, + 928783811, + 206122353, + 170302832, + 659466240, + 957262431, + 961188298, + 402878680, + 632465474, + 715240529, + 364562883, + 84310006, + 903919629, + 464845867, + 369877798, + 151434961, + 483594500, + 545947299, + 629165037, + 544185109, + 246318437, + 661583067, + 438334121, + 38558059, + 761458875, + 710009127, + 739121255, + 357455242, + 882979048, + 642198287, + 410674759, + 815635675, + 495148606, + 745945399, + 605386386, + 724496245, + 924778150, + 336825138, + 364141636, + 817823474, + 39482370, + 59276128, + 935253335, + 980117934, + 659324746, + 56393104, + 234622397, + 826091158, + 757363322, + 796753552, + 726709478, + 936960829, + 955100955, + 684136815, + 135144330, + 352822050, + 28763099, + 179585272, + 407092721, + 351416276, + 478117318, + 66250121, + 259570192, + 768019885, + 796875393, + 974014516, + 876424606, + 986015940, + 847062398, + 958197005, + 755523137, + 211105823, + 671074569, + 276942736, + 566496471, + 693004857, + 946339808, + 153413776, + 246413837, + 362829435, + 15041915, + 136912476, + 385168602, + 48259886, + 944356214, + 753616685, + 903438269, + 219865223, + 337133761, + 644404767, + 514856961, + 379089831, + 349820651, + 286310283, + 539325945, + 328532268, + 23584006, + 283676605, + 156674674, + 18452770, + 366167387, + 628369239, + 331644284, + 813881022, + 164060800, + 249257716, + 694580592, + 89785337, + 117350824, + 486395368, + 398161964, + 822630353, + 797168393, + 797913789, + 344421667, + 182004253, + 507167506, + 442667278, + 992312313, + 112139967, + 620625210, + 698427418, + 720770876, + 760800951, + 419296669, + 502479415, + 659959438, + 517332183, + 627717357, + 857331941, + 774574070, + 276690402, + 568068206, + 643371068, + 984177122, + 743945614, + 789281903, + 69683635, + 579208539, + 862603053, + 881819135, + 762424201, + 133161271, + 560261428, + 744537248, + 637067597, + 641268417, + 646781334, + 543275334, + 193559960, + 779872263, + 477597649, + 224878155, + 339153109, + 114979427, + 31341505, + 705028754, + 906476107, + 158822327, + 980285697, + 132563926, + 136985099, + 315426872, + 381862479, + 194791527, + 956782923, + 888128329, + 679110085, + 282542795, + 633208856, + 341316673, + 382715105, + 794250114, + 429568544, + 164496257, + 258232919, + 195789832, + 867640229, + 917772949, + 243596237, + 861442884, + 223432920, + 754117646, + 233704458, + 358774681, + 432659212, + 663138747, + 770072067, + 93392192, + 905577846, + 889053919, + 517024047, + 287468451, + 471198888, + 259203476, + 159380811, + 788718226, + 289323682, + 120228767, + 423891804, + 5642756, + 922182092, + 96796750, + 664861962, + 313204607, + 600185832, + 85141697, + 886365782, + 619314977, + 712370399, + 531402261, + 657510674, + 451988200, + 909710802, + 24408463, + 628996106, + 776658265, + 116173753, + 652168710, + 763221739, + 16369198, + 660952623, + 606465063, + 272738169, + 920042100, + 691876796, + 967947104, + 375388792, + 612724912, + 252822037, + 400165568, + 335508669, + 241429745, + 517623771, + 132138225, + 60014406, + 370722653, + 33279050, + 539978266, + 72263316, + 213857752, + 244549587, + 506392811, + 977376664, + 553879949, + 257570238, + 130152211, + 872765227, + 148783439, + 740072107, + 839018867, + 221329179, + 169196146, + 568973677, + 256589502, + 220651505, + 939608334, + 490133986, + 208674268, + 687055310, + 101461074, + 494015970, + 478374743, + 173889792, + 443162338, + 624587032, + 558398316, + 430105946, + 119898962, + 716937587, + 198902422, + 641657050, + 738596308, + 123257045, + 108574887, + 990769445, + 588655333, + 884604777, + 393026293, + 561932388, + 924032586, + 38038165, + 397185332, + 974349070, + 937804937, + 674357147, + 760654994, + 272726656, + 911981376, + 645210756, + 904117268, + 149188059, + 305767238, + 477815004, + 530821867, + 248209800, + 683207566, + 202277902, + 461605704, + 201734322, + 855836681, + 86940338, + 747128455, + 133750794, + 729313337, + 692560018, + 399395014, + 601323983, + 805422151, + 825647617, + 986077074, + 724721228, + 886983003, + 854647188, + 137088128, + 236190729, + 895368532, + 297310414, + 386012943, + 987053550, + 395793650, + 353844264, + 373967426, + 368374563, + 40320203, + 1304478, + 576583576, + 389531050, + 399157187, + 562093966, + 139346053, + 148720983, + 897408406, + 105539702, + 302518414, + 832069887, + 277105501, + 198393604, + 399867682, + 424770034, + 609161390, + 960161291, + 953893576, + 369878778, + 116481174, + 114046612, + 702221785, + 13385542, + 704047417, + 314961564, + 980653684, + 596066018, + 246020963, + 887958120, + 568540022, + 405565996, + 859348351, + 435337214, + 346737490, + 809013045, + 811179794, + 2617195, + 72586131, + 499834418, + 321449248, + 141509095, + 537779268, + 463581592, + 910656117, + 998462647, + 996351965, + 592594978, + 160664796, + 544533809, + 276446784, + 462802892, + 433054989, + 724898840, + 85692447, + 729260681, + 409961628, + 746895365, + 450446789, + 881040567, + 722613851, + 630386019, + 94039585, + 944891207, + 398130030, + 682995567, + 367817146, + 792781949, + 102273830, + 539312204, + 331371368, + 172835541, + 883077955, + 763020047, + 784385023, + 412193453, + 297501645, + 66282355, + 358942021, + 659153754, + 921888506, + 522455872, + 548405040, + 541662524, + 836511894, + 893644161, + 142310550, + 813118791, + 456081713, + 577134183, + 467631175, + 102154198, + 124586569, + 193726182, + 924330731, + 143138720, + 446505563, + 265306237, + 131294605, + 424474886, + 589379471, + 948645380, + 469169534, + 784306614, + 156813266, + 763730026, + 857065413, + 159485511, + 433576361, + 381750993, + 398522565, + 448390460, + 543278364, + 611869209, + 227905191, + 794125499, + 359938849, + 164661786, + 716607737, + 655446089, + 713273694, + 130143360, + 488653297, + 38558440, + 616876776, + 486240021, + 506973866, + 143376539, + 476507647, + 577934922, + 544776470, + 364712218, + 714421114, + 252529012, + 948550585, + 413634152, + 985626729, + 909929633, + 814558983, + 287151392, + 124706403, + 782858808, + 66785087, + 630675230, + 217565655, + 365073851, + 263536845, + 941372026, + 196945967, + 335312844, + 561238101, + 10207063, + 301416583, + 639644426, + 709203664, + 677388652, + 118826182, + 469784456, + 953511360, + 812637751, + 403262451, + 284887214, + 324508775, + 476667689, + 417698125, + 289272662, + 937532146, + 119397016, + 171505574, + 79945350, + 937430742, + 158299929, + 252702951, + 282839320, + 32513954, + 271329808, + 618673645, + 826648750, + 560798105, + 82865562, + 629396901, + 789109241, + 690062332, + 507366224, + 417375135, + 238346833, + 552338806, + 612464454, + 834871501, + 947409330, + 450478343, + 453619157, + 255511334, + 872962656, + 649020174, + 216851134, + 902575043, + 151898934, + 962647908, + 281274393, + 94049845, + 990359823, + 548348429, + 967816935, + 204398871, + 425481996, + 162202705, + 405722122, + 953376929, + 806652644, + 913697044, + 752590217, + 802476744, + 668091182, + 341815893, + 646651686, + 76489449, + 559977031, + 752409332, + 988194224, + 771846726, + 290027817, + 3782019, + 697895763, + 306289108, + 713005926, + 415750382, + 811540103, + 1171407, + 682739375, + 458361602, + 114666538, + 454027964, + 380401073, + 727479619, + 355551937, + 865299354, + 661395338, + 413675003, + 261301252, + 537080286, + 617168246, + 282139395, + 828024664, + 794002470, + 550946954, + 995994251, + 360206226, + 209947941, + 542394122, + 328651734, + 865261275, + 630487368, + 539068343, + 508372767, + 598901797, + 40341750, + 133931993, + 754526374, + 781145615, + 381562603, + 76559505, + 85655586, + 59058562, + 646792669, + 175931740, + 210458636, + 600754749, + 704250034, + 131062778, + 972073767, + 869888901, + 957436749, + 484864151, + 577429563, + 533728949, + 169626743, + 753793696, + 532601608, + 356187773, + 810938869, + 465707150, + 150205581, + 485820466, + 780802277, + 212492666, + 956883304, + 170512998, + 867751977, + 54339086, + 293186518, + 204416850, + 953119079, + 478278168, + 687287622, + 714948996, + 928832814, + 10438071, + 647913500, + 172177082, + 156829242, + 627650401, + 39560196, + 473345998, + 496565862, + 957310889, + 733170016, + 251044400, + 623399045, + 215767644, + 761253428, + 69193187, + 456318677, + 562776235, + 175716916, + 572481624, + 104479390, + 499699595, + 188588151, + 451702022, + 806443970, + 921385339, + 328803284, + 934677442, + 364213209, + 638239725, + 669351828, + 281122124, + 526646052, + 866488167, + 604666657, + 488802036, + 630292935, + 214927688, + 837071940, + 141538293, + 843556781, + 92078948, + 654786466, + 630701352, + 224122555, + 647063046, + 312941802, + 174748163, + 540404840, + 988584405, + 618493780, + 236447486, + 319638949, + 376789905, + 683695868, + 107598582, + 690992557, + 384663682, + 750658989, + 355604451, + 611953574, + 979598008, + 441611218, + 549236603, + 591668355, + 576280797, + 475665659, + 592672758, + 822081013, + 852153879, + 851267606, + 810810894, + 286985531, + 457437970, + 751654650, + 735968375, + 856134031, + 185864122, + 62601430, + 907281458, + 593516140, + 167388163, + 89107395, + 640699799, + 535847812, + 13452641, + 154372161, + 146226393, + 369492725, + 710231427, + 235635757, + 441060837, + 704044591, + 951301822, + 267689437, + 695941550, + 81858075, + 825406743, + 737687142, + 875980513, + 816835828, + 72143987, + 273058407, + 47697397, + 291384580, + 124238055, + 948872597, + 312833850, + 725456692, + 290012009, + 682647339, + 264699913, + 562895877, + 124241422, + 59071704, + 928558413, + 691477889, + 118448918, + 43867023, + 414816189, + 442303356, + 358842866, + 411528257, + 50053583, + 288412163, + 234320422, + 237941954, + 397234704, + 732138091, + 472236888, + 976425300, + 831639818, + 162906638, + 843496770, + 45372721, + 773128196, + 270885460, + 602417894, + 47648092, + 293225047, + 481059680, + 285875474, + 597541793, + 494291542, + 764755697, + 83064005, + 112054153, + 987193011, + 132082062, + 240976881, + 898685079, + 745500620, + 840604468, + 171502537, + 652232130, + 536733612, + 484798212, + 2715582, + 180648307, + 264845704, + 550546249, + 966566812, + 418838020, + 330703437, + 610637438, + 924603572, + 108400776, + 996184690, + 525246776, + 106211954, + 431705163, + 60011429, + 471146335, + 629933227, + 654629850, + 609687984, + 176221788, + 511820880, + 240815206, + 216383711, + 857705798, + 285959480, + 526789216, + 579165555, + 524358478, + 912079186, + 627467217, + 186255826, + 721580186, + 612012797, + 568460333, + 446756535, + 714277801, + 988735675, + 953327170, + 618170835, + 915666464, + 235858580, + 944371284, + 812337510, + 567323261, + 977353318, + 871551360, + 777781355, + 608865313, + 733520311, + 645613730, + 609983317, + 946938827, + 414731933, + 17823345, + 488424910, + 683493248, + 283082785, + 960498397, + 510929887, + 972964020, + 337555639, + 404620024, + 817179438, + 634675511, + 275727714, + 932340313, + 945490322, + 125724568, + 153394497, + 131530124, + 282253801, + 279907232, + 630419208, + 471999492, + 490319653, + 883118084, + 587204008, + 738936336, + 809110708, + 471057793, + 797211607, + 27334724, + 859438375, + 659194646, + 206268531, + 972739248, + 408427831, + 105299391, + 825568904, + 981689735, + 708942213, + 643042291, + 161127138, + 723734070, + 420655779, + 204707105, + 211167521, + 22362841, + 808841947, + 174559469, + 470303403, + 758953780, + 66731869, + 56843740, + 706495151, + 351395588, + 956046747, + 522012386, + 235160745, + 658338213, + 648688243, + 354135936, + 218332179, + 508016882, + 680024136, + 824701592, + 302452759, + 846806099, + 764899527, + 47894634, + 6652627, + 375369046, + 830121902, + 314328655, + 296438943, + 350375862, + 483294235, + 19670014, + 1932520, + 400144924, + 908847310, + 614828809, + 786555944, + 152726567, + 516215738, + 650525874, + 657770761, + 568147771, + 408214058, + 992205475, + 611478042, + 615277446, + 312514355, + 454142882, + 61998975, + 841007365, + 960025665, + 729777119, + 997477786, + 224962812, + 145390433, + 179282525, + 965882122, + 547050963, + 222477178, + 780596772, + 151704332, + 47174180, + 363388766, + 746968708, + 790735471, + 815499557, + 805233417, + 166291342, + 589618657, + 794133062, + 62874767, + 175562360, + 689418453, + 284609182, + 936930642, + 39864117, + 909595029, + 382180606, + 696204721, + 106656182, + 295662002, + 342199783, + 313710589, + 204752962, + 5366544, + 796558303, + 126043997, + 879801520, + 485064954, + 41764357, + 250666020, + 364938853, + 500565883, + 266830299, + 614364924, + 776142049, + 347407809, + 613819933, + 598225197, + 29557152, + 26968956, + 648484294, + 849911709, + 286585365, + 175305016, + 118946806, + 384300176, + 385803072, + 688802096, + 479256751, + 522571595, + 974859336, + 605428655, + 307459914, + 752459606, + 425883071, + 571959311, + 920621491, + 938731042, + 520243818, + 472478919, + 341157227, + 315832783, + 329138198, + 714873979, + 150914046, + 760746048, + 33177627, + 358516264, + 545630295, + 532905077, + 453855334, + 95090984, + 768489628, + 401361831, + 656212862, + 404696317, + 820847917, + 201317505, + 439095185, + 101906154, + 10430277, + 901568666, + 118141686, + 804141776, + 942461657, + 658104125, + 408614134, + 735159862, + 920810848, + 859651755, + 378362314, + 753337261, + 691449628, + 631665807, + 152178879, + 915888654, + 398489323, + 825759641, + 824100236, + 85406807, + 911260352, + 535156227, + 752232849, + 830580958, + 414043117, + 605810090, + 641158516, + 631076944, + 967031125, + 826347746, + 502792603, + 722439669, + 954936619, + 540119043, + 555407481, + 478802317, + 188025815, + 343153308, + 577608018, + 665951667, + 193358826, + 816203737, + 534525164, + 824897715, + 854850199, + 819412685, + 454824895, + 246387198, + 853368365, + 857570825, + 948255969, + 902350306, + 677913280, + 979587656, + 709892622, + 134401000, + 21246010, + 517597097, + 781732870, + 152760461, + 344966202, + 335207820, + 611760852, + 432599037, + 691413141, + 772396525, + 893752510, + 518760225, + 648388078, + 527397843, + 694467369, + 691016291, + 466205792, + 513940944, + 622244088, + 949144805, + 403987195, + 841391731, + 894358038, + 452988480, + 802220966, + 367066918, + 834334876, + 672489115, + 816157970, + 863807236, + 80901863, + 477838050, + 119583078, + 843604311, + 683574849, + 8444180, + 518153589, + 803958816, + 669390761, + 444513118, + 185326762, + 58213733, + 539853816, + 980238166, + 119950347, + 931035007, + 536696188, + 790295072, + 415486311, + 57116893, + 215930371, + 673761692, + 767622921, + 756797789, + 349916104, + 282559987, + 411180949, + 539444599, + 374058015, + 454076129, + 750182128, + 223244038, + 518935415, + 663651512, + 612382773, + 900620670, + 583397168, + 285952738, + 769338355, + 953638545, + 924833584, + 324942928, + 229831647, + 884338522, + 184486719, + 22244226, + 784614482, + 778215065, + 663472900, + 18464169, + 962110590, + 423243212, + 358881200, + 359801041, + 618093057, + 912164809, + 31572509, + 148749239, + 954458053, + 196669505, + 147397014, + 379317571, + 877936018, + 477489791, + 33694633, + 493784788, + 226095220, + 302146394, + 185577159, + 538609659, + 203445465, + 335265502, + 640665393, + 978997696, + 477092658, + 203554989, + 673621648, + 677107419, + 816858691, + 197850853, + 991439207, + 582285334, + 962787356, + 367910793, + 156929699, + 930151981, + 349204878, + 336473842, + 717318277, + 965288662, + 765245767, + 190553265, + 978557221, + 903976697, + 941157815, + 38058258, + 529199890, + 956002618, + 448455536, + 678142354, + 287270849, + 275272482, + 115004451, + 962700057, + 856393714, + 991739431, + 741740215, + 879047593, + 892067178, + 720740209, + 245978196, + 773081990, + 352560897, + 858457161, + 144301417, + 903403348, + 637045501, + 560927975, + 121389115, + 390295380, + 26312819, + 853019954, + 207111242, + 985091797, + 99930239, + 529186589, + 712046418, + 42826895, + 72445921, + 415094526, + 940753674, + 655562399, + 504844599, + 485787398, + 583563864, + 655285001, + 440959043, + 429856024, + 988819802, + 88795516, + 183762429, + 886595502, + 640795995, + 569973802, + 433086672, + 859560589, + 959336337, + 389301788, + 628447723, + 551625392, + 928328769, + 366059163, + 381989753, + 168521420, + 382091957, + 890009586, + 213096978, + 333438591, + 205140414, + 269872734, + 61050751, + 21253928, + 379853025, + 628864167, + 142031623, + 451998839, + 943379750, + 591023622, + 951390229, + 737777400, + 264872557, + 223032396, + 439968999, + 325421404, + 163541760, + 739332363, + 66909486, + 460577370, + 454293130, + 392007755, + 579460658, + 429682346, + 595402519, + 171165134, + 446676127, + 873858638, + 114196777, + 329210619, + 215425923, + 297349581, + 477347859, + 467284279, + 180613671, + 77025143, + 530802926, + 309337923, + 605183638, + 381561720, + 350857378, + 260625055, + 414658472, + 656783628, + 839198853, + 945803590, + 820174032, + 444359558, + 293755855, + 786914460, + 532930786, + 77287096, + 170893652, + 921844764, + 896284956, + 108578970, + 176542882, + 344657216, + 139806401, + 911669275, + 414550047, + 719344367, + 833269958, + 634970677, + 58246087, + 73763132, + 748804179, + 850727225, + 240639217, + 419608633, + 78591804, + 829024329, + 40790353, + 574628703, + 485067387, + 292386771, + 595921638, + 280772584, + 382329516, + 266028363, + 133394040, + 944227656, + 869304418, + 548184118, + 744480437, + 421615174, + 803795718, + 538330959, + 93898877, + 88264803, + 711254470, + 508349999, + 219725405, + 468241873, + 881497116, + 544377925, + 493844656, + 338392337, + 522640931, + 927684478, + 454442435, + 25068134, + 579680349, + 19185956, + 169871194, + 104877696, + 782870077, + 740027971, + 868917423, + 437609332, + 249337389, + 52937545, + 902448492, + 273968821, + 838372145, + 303971026, + 370271741, + 933499980, + 950471102, + 96217327, + 752094240, + 465189797, + 988884973, + 734411149, + 281850473, + 176748130, + 447843380, + 914992627, + 566718444, + 21238955, + 876942878, + 989808825, + 395126695, + 432505138, + 419262843, + 452320810, + 210488884, + 772334592, + 142345486, + 512320831, + 317486343, + 687672403, + 956669636, + 428044591, + 860387608, + 219183019, + 843390750, + 381338429, + 209621043, + 61590845, + 875789191, + 155144869, + 542397984, + 788438747, + 821100021, + 230002830, + 125320118, + 313192652, + 53215268, + 700280758, + 6475673, + 791832219, + 452155877, + 936679807, + 32433298, + 497611533, + 127879262, + 445246747, + 737819475, + 131025606, + 316092859, + 89542725, + 560199245, + 915749697, + 499187697, + 760376301, + 207977009, + 878494163, + 854813853, + 552179383, + 428042878, + 459060183, + 763827591, + 304123919, + 650875773, + 697925802, + 589473231, + 365637287, + 452996377, + 262819224, + 665229785, + 272611222, + 870950811, + 67517789, + 523045399, + 294362250, + 448259243, + 522824567, + 483109534, + 499272907, + 976494751, + 316977261, + 557979886, + 890373813, + 180648743, + 753238763, + 142734557, + 597809831, + 417113221, + 530888231, + 39517168, + 74835540, + 470314516, + 360845164, + 40570143, + 16398937, + 370530878, + 732623351, + 98026004, + 557439294, + 741971862, + 18107327, + 476019058, + 823120842, + 742670730, + 503754677, + 872441558, + 758953903, + 599731755, + 45424343, + 729442456, + 725335493, + 703805825, + 657855139, + 103716972, + 134040675, + 735815327, + 858331416, + 978564940, + 759951254, + 685406067, + 51463272, + 161586469, + 232878003, + 653658655, + 66436685, + 736156555, + 305341934, + 657827092, + 584702159, + 488590458, + 709904649, + 907763203, + 5282953, + 695713384, + 158573427, + 896721835, + 761686101, + 811239947, + 833432837, + 702913278, + 649557639, + 5706430, + 802244302, + 886173041, + 934678111, + 105979083, + 265408286, + 461691739, + 193564368, + 276620931, + 499449974, + 784681712, + 733696258, + 663052848, + 783049718, + 873280545, + 452616226, + 850561393, + 505096914, + 144913651, + 153243869, + 453879176, + 38365037, + 958902104, + 195487295, + 650270582, + 228840938, + 917839613, + 863603968, + 298682808, + 621054446, + 167543409, + 358789870, + 868276354, + 280804326, + 374596204, + 322753300, + 57308801, + 615711755, + 511448558, + 317023369, + 854960621, + 193494528, + 440305110, + 433952841, + 221882373, + 672491618, + 570018661, + 707464243, + 524643636, + 871556065, + 874358759, + 976654810, + 438924571, + 430336233, + 941246759, + 829484027, + 400312044, + 390820787, + 534622585, + 666897166, + 444524334, + 4334617, + 138556249, + 687306145, + 870837449, + 639574271, + 410249555, + 625388502, + 374748117, + 276057746, + 217031982, + 675590891, + 996142155, + 807026201, + 117091271, + 300968076, + 619325061, + 769575419, + 932466127, + 187627430, + 192836459, + 933056231, + 277838880, + 801363274, + 653868977, + 214049132, + 506913315, + 969925852, + 63397372, + 9329009, + 917591030, + 619124865, + 881598223, + 787257911, + 565605831, + 259377370, + 649593079, + 895734874, + 720598147, + 448548786, + 981549471, + 971817598, + 672927664, + 908464128, + 528977172, + 85476263, + 352278148, + 137985178, + 767324733, + 674395146, + 471310141, + 416878622, + 263626213, + 985526375, + 551133376, + 325294337, + 688236939, + 21856759, + 708650268, + 810605732, + 315318543, + 133755794, + 579063940, + 216014308, + 913890770, + 259615637, + 254822442, + 587490633, + 785394181, + 334740369, + 722906568, + 573251844, + 40318339, + 213408597, + 811763687, + 99189531, + 946827197, + 998851961, + 140456357, + 46469424, + 174604124, + 308706889, + 587342760, + 664951844, + 501726538, + 123000244, + 758229424, + 622513545, + 595284984, + 886995107, + 597101932, + 605656454, + 135584667, + 941096858, + 415459014, + 460497594, + 823773203, + 981566127, + 59718919, + 958348400, + 428708813, + 982183400, + 790050503, + 529824712, + 92858154, + 99216118, + 449149907, + 863913085, + 205107600, + 99315620, + 631884992, + 900830810, + 335542185, + 830282810, + 774711418, + 39903375, + 4538865, + 863371065, + 178860404, + 21647106, + 528781892, + 951773446, + 357460194, + 512858593, + 339840818, + 818413277, + 20397423, + 910670880, + 404349021, + 929530296, + 924827091, + 542317885, + 262493194, + 26075313, + 423171762, + 742177165, + 188056875, + 679601948, + 774883188, + 109899404, + 18818503, + 289712343, + 869542107, + 658583165, + 440539147, + 509828253, + 738713920, + 909719017, + 115024881, + 527956249, + 374849852, + 202085776, + 960322202, + 120276597, + 257525308, + 447111761, + 888830242, + 666103532, + 842497306, + 922529404, + 963270322, + 480190395, + 424928838, + 579668099, + 667677054, + 355487380, + 626035288, + 893912027, + 948597222, + 946950758, + 399836558, + 460187944, + 701369001, + 515931121, + 412791986, + 502566181, + 163088501, + 95177809, + 869800535, + 160213457, + 273914353, + 615474514, + 629407518, + 5648033, + 942228222, + 172958853, + 280911475, + 246693365, + 736274995, + 861507335, + 825607676, + 563496698, + 110875838, + 269990826, + 219130276, + 629771302, + 727370566, + 703036516, + 176946719, + 189770554, + 589926260, + 314718667, + 4741966, + 810064771, + 143023331, + 745419089, + 25480238, + 338688541, + 340146062, + 863814506, + 888342289, + 224326007, + 533147836, + 449947692, + 303159702, + 565896553, + 273893607, + 9044623, + 882384941, + 448030280, + 14424983, + 484484771, + 365827044, + 973671866, + 786916484, + 567258722, + 214721761, + 43051811, + 914217937, + 41253490, + 397795741, + 805750609, + 595520186, + 265366743, + 401260201, + 746088412, + 960167547, + 419322906, + 277195708, + 216797953, + 214957596, + 86690845, + 806032087, + 226608082, + 849107395, + 812985968, + 812917962, + 373208323, + 427971815, + 326130096, + 737189664, + 771849871, + 813089453, + 478668986, + 20641802, + 674350829, + 37217200, + 641084495, + 59138492, + 968226359, + 235467161, + 375700467, + 388780808, + 411421856, + 459611286, + 960701528, + 595758912, + 85360132, + 53116232, + 442319348, + 221812899, + 621803476, + 377289625, + 430986034, + 424837220, + 168584325, + 771378244, + 127538056, + 613329449, + 672845241, + 685151276, + 509556530, + 322841452, + 447699967, + 164923157, + 329244811, + 245490032, + 326964219, + 685096133, + 814239922, + 232677793, + 926306015, + 233315879, + 744595771, + 938457017, + 980432321, + 582594856, + 641879955, + 691851156, + 190889773, + 467587132, + 266410417, + 974711315, + 41274813, + 223052967, + 846012000, + 588744607, + 697734333, + 532125795, + 821051369, + 716261507, + 290775111, + 1714045, + 912618388, + 198931295, + 914989605, + 959284532, + 223796303, + 12279611, + 334177055, + 594842213, + 388294018, + 719770702, + 461732735, + 104392020, + 252984152, + 613866898, + 884545116, + 222180069, + 140516383, + 23423854, + 945878720, + 965591379, + 191948532, + 752300669, + 207461879, + 430474527, + 656468691, + 306492169, + 912306463, + 92958364, + 403423377, + 850873292, + 313267380, + 109018448, + 483515441, + 36843849, + 692617773, + 990793202, + 386848323, + 416054660, + 404592204, + 390833510, + 718961662, + 700313291, + 201267927, + 730318442, + 440381605, + 439571376, + 558275589, + 96038706, + 175646570, + 695673332, + 280775892, + 909736072, + 946501901, + 490520715, + 425072267, + 230585352, + 388436859, + 589148860, + 731285277, + 426402488, + 841646984, + 19695196, + 994434577, + 955631804, + 328373000, + 24390280, + 939094962, + 594131914, + 446148963, + 793778915, + 811262307, + 457255494, + 880022463, + 629591830, + 779087970, + 831529102, + 850810937, + 885194122, + 606355222, + 414573319, + 359456203, + 324299903, + 224419166, + 882683700, + 734881081, + 336277422, + 584822066, + 861833018, + 546304246, + 922610726, + 589039183, + 140707576, + 626039565, + 825079159, + 662448837, + 314348137, + 580984723, + 475418159, + 999961996, + 197374916, + 681174677, + 356432918, + 352315235, + 669165156, + 634236391, + 428039156, + 186611321, + 806016509, + 601519025, + 96661717, + 814974459, + 184205621, + 964082610, + 817410011, + 731583202, + 643459677, + 315643767, + 126081007, + 66366148, + 551058710, + 512277048, + 900427045, + 249769732, + 61542367, + 862752810, + 505745528, + 355228920, + 477250609, + 866423079, + 486167974, + 272113561, + 605697490, + 775317665, + 683184779, + 653899289, + 997631626, + 678556837, + 928383373, + 680186015, + 889385700, + 805339806, + 806573340, + 589352104, + 659680801, + 787224319, + 489644599, + 237407015, + 524679431, + 258120315, + 921655578, + 840169841, + 565121553, + 332936256, + 294123912, + 54997852, + 992050943, + 324019534, + 538623976, + 950602255, + 554778764, + 886106854, + 347629143, + 933993584, + 925065077, + 984968724, + 693876453, + 405733605, + 108086293, + 88530444, + 602639802, + 78622713, + 405123737, + 623720592, + 311821837, + 276706600, + 520056864, + 290912456, + 987628000, + 774755682, + 963368315, + 208388326, + 268759446, + 398441247, + 983490898, + 679638016, + 923520827, + 847651952, + 307521481, + 130592976, + 70654175, + 941004832, + 400097931, + 438769481, + 466955635, + 265293456, + 56100280, + 742064674, + 142473369, + 854441840, + 139035740, + 643305527, + 705728578, + 10652322, + 138913110, + 904548980, + 308536992, + 655319873, + 862678448, + 508532456, + 389254199, + 129550314, + 496621128, + 600140692, + 349828315, + 799307731, + 608833398, + 956326135, + 989620149, + 842625735, + 135771202, + 862416212, + 521037480, + 440938809, + 320266946, + 248763769, + 616564646, + 443476635, + 708752233, + 442783579, + 94181367, + 94283924, + 792352497, + 600814622, + 253897205, + 343770488, + 710275664, + 12946099, + 602291279, + 334396099, + 66502283, + 131852772, + 206587492, + 663606089, + 837354577, + 396597273, + 342258212, + 43871562, + 867973666, + 461717253, + 381630778, + 134372080, + 516647814, + 5616833, + 247852765, + 922278177, + 269713069, + 174468676, + 824710622, + 927270186, + 234885195, + 767884675, + 674099711, + 629228763, + 826475622, + 912907552, + 381730052, + 326952553, + 925431836, + 606337421, + 97529742, + 521112416, + 577841385, + 224388469, + 399277485, + 799334212, + 877518602, + 551915127, + 578830729, + 701057974, + 472803381, + 495952723, + 870040802, + 585350734, + 110887956, + 937282914, + 804823633, + 814372503, + 213883392, + 778032856, + 320551659, + 389786347, + 832032943, + 249621779, + 77769345, + 730869829, + 169678330, + 985041364, + 409495128, + 999982627, + 104593700, + 630750176, + 220418243, + 715666992, + 366699731, + 621761838, + 784446040, + 321161475, + 950014826, + 832217626, + 485895092, + 60937561, + 190432955, + 16015023, + 293401277, + 960143062, + 944112978, + 218178211, + 950068353, + 555544132, + 84590396, + 421254799, + 773605340, + 895103051, + 963434624, + 45745258, + 853630996, + 843249346, + 27892004, + 373892039, + 909187431, + 892125291, + 880234128, + 226406735, + 583611563, + 652638377, + 412728405, + 763624842, + 656076756, + 472528738, + 155229805, + 960750227, + 570482309, + 621087012, + 383683489, + 985801476, + 640722445, + 908496770, + 146875600, + 183141487, + 762488823, + 167050075, + 444476182, + 472889400, + 304660674, + 247403607, + 772249519, + 647011050, + 615479567, + 298273242, + 200593131, + 944402935, + 730126277, + 909725833, + 608093574, + 734137353, + 980376073, + 46927247, + 483760579, + 942752677, + 909812560, + 151945919, + 555662282, + 910214827, + 277870185, + 559442281, + 100148938, + 937270762, + 602235308, + 853757388, + 533772678, + 996842306, + 994611913, + 855317360, + 958608093, + 844508171, + 400941585, + 23309344, + 573739316, + 524606879, + 936068675, + 841591421, + 746587726, + 357280174, + 194745931, + 52267859, + 781747256, + 390279553, + 844612420, + 112645336, + 690376423, + 218211711, + 850047309, + 938936941, + 978729383, + 241730972, + 481611581, + 691231701, + 442470144, + 63830228, + 113364147, + 949883678, + 173799432, + 879888820, + 305288025, + 934834363, + 108003864, + 142933464, + 527929947, + 807082904, + 457693527, + 300290304, + 306469817, + 764198844, + 205752179, + 184557903, + 341829525, + 674385389, + 658831551, + 126279990, + 935554649, + 610861904, + 859445849, + 939594508, + 871251514, + 599001103, + 739703054, + 882312385, + 899189648, + 586241329, + 597661747, + 444820719, + 213661949, + 83433685, + 510394756, + 762263957, + 611611364, + 830889783, + 70640537, + 514512857, + 618315089, + 937342825, + 122281658, + 815672440, + 319020581, + 499705316, + 274422834, + 940975572, + 980878798, + 740332277, + 826425550, + 950477091, + 136179165, + 543708016, + 102249918, + 215639954, + 572055369, + 753949057, + 669426332, + 171361151, + 113488869, + 665129711, + 553874755, + 926247117, + 848701050, + 594782252, + 199096025, + 931204646, + 355225953, + 235898822, + 436669441, + 81494902, + 349844549, + 216886432, + 200265903, + 178299285, + 428241342, + 816418925, + 212383244, + 257655290, + 548864440, + 512521854, + 763357075, + 96534639, + 803624832, + 85673861, + 711173183, + 453980323, + 651577819, + 909175353, + 269591856, + 978748624, + 511949007, + 721167265, + 137988773, + 558271612, + 419411620, + 72592186, + 874567866, + 340195470, + 762314888, + 760717792, + 18022114, + 23622279, + 666158573, + 63288432, + 751557252, + 209572908, + 541987270, + 977244540, + 887365879, + 522521086, + 638476200, + 682049631, + 994836371, + 744149126, + 44257358, + 868058520, + 665390554, + 669018151, + 338329318, + 957981752, + 692472399, + 28722247, + 230726534, + 757282262, + 408840656, + 66539194, + 544039005, + 904100930, + 38934295, + 374015377, + 899703130, + 475805904, + 862675440, + 452687044, + 213637027, + 809076628, + 686019609, + 926308950, + 571700800, + 733110574, + 942873865, + 716809818, + 139968565, + 997262732, + 503640619, + 422127631, + 248326994, + 39265692, + 881859001, + 281871650, + 164573111, + 417999405, + 91337650, + 535220790, + 184440822, + 128599994, + 47858942, + 350644437, + 20525244, + 162237578, + 73424099, + 137110164, + 74835958, + 429599367, + 614258924, + 714384727, + 533930764, + 607740901, + 692159169, + 120390614, + 816841085, + 422894861, + 699592046, + 784228641, + 572705121, + 712543900, + 40895399, + 426955698, + 529559158, + 777408506, + 194031277, + 438361988, + 572012726, + 130606746, + 679335991, + 408287937, + 707658221, + 759194084, + 68254426, + 63896421, + 938981841, + 852542141, + 31412826, + 352042272, + 442171426, + 59619798, + 5931436, + 848652240, + 557405785, + 469452, + 794353973, + 413790416, + 231546630, + 717339866, + 814224710, + 761259328, + 569293531, + 715637927, + 803616900, + 801884389, + 793894897, + 264567501, + 892355933, + 762572035, + 473190324, + 386852283, + 934984893, + 6100069, + 352067353, + 240818121, + 230316041, + 876348730, + 653184143, + 136634904, + 187382996, + 403215073, + 663424704, + 640143886, + 204766901, + 905192114, + 146154696, + 47289825, + 427718187, + 607360875, + 477930745, + 991617266, + 627643338, + 261291489, + 100368909, + 846936745, + 818393741, + 656780455, + 773927684, + 890079767, + 839105519, + 666328121, + 488719003, + 184432821, + 922397341, + 798691039, + 266654772, + 839071081, + 152684094, + 644219104, + 814070951, + 274890154, + 421166949, + 782680750, + 95617312, + 638577561, + 452745832, + 937127183, + 239962821, + 380246877, + 285459767, + 336606339, + 61804210, + 285220169, + 715638013, + 572414365, + 147947867, + 497446450, + 520774501, + 860678253, + 128644034, + 636499052, + 32331188, + 881098628, + 314594965, + 922361976, + 719541506, + 83432761, + 88195814, + 486799846, + 31544917, + 579003109, + 881135097, + 166251592, + 311163203, + 632889659, + 808689999, + 336297578, + 351629130, + 813743753, + 102813884, + 361965546, + 496914589, + 170871507, + 271684707, + 361957701, + 580640291, + 69096200, + 530738840, + 966272935, + 976567612, + 868551600, + 179459822, + 758308102, + 971098025, + 847183567, + 815545321, + 770130293, + 860782814, + 614476701, + 640412051, + 220084966, + 435360363, + 517313655, + 194855852, + 330223063, + 487833151, + 504751127, + 106381593, + 504011759, + 894216455, + 239554318, + 513532911, + 93081430, + 238958592, + 928665287, + 749223770, + 681529513, + 623517303, + 632344049, + 800579581, + 130793179, + 713495617, + 587188901, + 865188860, + 462766004, + 906091784, + 231432718, + 42850671, + 854726594, + 244093281, + 512450699, + 956519123, + 204662748, + 318289352, + 579259058, + 995278506, + 19966998, + 237124823, + 567213824, + 900531003, + 218342001, + 491823276, + 319347051, + 892524386, + 154755369, + 890354872, + 485366193, + 837368211, + 566084130, + 641565019, + 287823302, + 298923274, + 923388396, + 138409658, + 284368657, + 536049584, + 118413458, + 955873473, + 53825828, + 937720311, + 974677108, + 827741536, + 381794571, + 435262179, + 639287549, + 208235001, + 288071879, + 208433498, + 739991069, + 241393320, + 973382434, + 344127473, + 807204275, + 109702691, + 590081556, + 586102470, + 376669458, + 886114464, + 226876849, + 977358703, + 211476682, + 387252239, + 547312772, + 641035235, + 307576804, + 633586398, + 177390274, + 393552819, + 379013803, + 981493329, + 940576108, + 925462496, + 667544857, + 814462982, + 645974885, + 128930788, + 164123115, + 98469962, + 307282582, + 723306474, + 748041705, + 727559233, + 992416160, + 893761116, + 927075915, + 210242437, + 976663697, + 449165652, + 143148826, + 330276275, + 398638630, + 871274235, + 277540341, + 433223545, + 651770020, + 876795154, + 502620262, + 478040576, + 450215153, + 915149601, + 543408502, + 616575590, + 390433334, + 411279091, + 803835966, + 765330182, + 438212596, + 332838317, + 466967006, + 394341182, + 768988676, + 225677251, + 137270347, + 127670475, + 610130485, + 639472031, + 635674871, + 390212380, + 12485352, + 622187778, + 617482464, + 652298865, + 465384255, + 460162739, + 584114392, + 97285133, + 883845596, + 693332518, + 76153751, + 29249933, + 407775489, + 97661218, + 273927432, + 523576585, + 92372540, + 728901884, + 53442047, + 302098902, + 873516552, + 62054711, + 583199284, + 704158105, + 152548846, + 429564522, + 645024331, + 794800908, + 78913986, + 50009324, + 657223707, + 736821736, + 606003002, + 726927743, + 712736290, + 194261012, + 494447223, + 535190135, + 247273706, + 546682767, + 374207489, + 903585543, + 915737374, + 939201144, + 234556060, + 533951387, + 771962919, + 338718846, + 986423039, + 914370398, + 95226875, + 382336949, + 662584847, + 340269160, + 248483354, + 470967788, + 728725968, + 466934241, + 534471796, + 881692013, + 230479545, + 379904230, + 338215243, + 318656702, + 104883052, + 151730952, + 976975231, + 232155713, + 951198518, + 918100682, + 214630368, + 428286483, + 414528801, + 245616516, + 908239634, + 521226205, + 782086579, + 427397355, + 392020524, + 581010240, + 927524606, + 349401164, + 285354569, + 448537013, + 823975806, + 382465002, + 250506950, + 798808150, + 382346939, + 195562197, + 695408241, + 802782773, + 729343268, + 293596838, + 70500571, + 668781903, + 545348230, + 144905689, + 804091690, + 150655098, + 886698831, + 75267747, + 893576917, + 559431529, + 191975545, + 554859536, + 18096756, + 746567288, + 125928704, + 891605013, + 576033663, + 925356268, + 663638119, + 232189500, + 818532107, + 250516720, + 2315464, + 31102504, + 707670272, + 310341594, + 468510832, + 551110480, + 574870655, + 925544507, + 681616496, + 788333896, + 650917473, + 560758297, + 111569264, + 842255575, + 913646817, + 578908689, + 292256582, + 171018668, + 975170407, + 312508217, + 411612946, + 331241059, + 683106522, + 398612112, + 625199426, + 896041541, + 539673152, + 635713515, + 475876707, + 334446047, + 359693198, + 755502825, + 41100554, + 786137207, + 958587167, + 563951019, + 716000312, + 812839636, + 278627633, + 840763795, + 882821823, + 972791859, + 307224842, + 901776573, + 624051381, + 827757436, + 699068299, + 854683094, + 371241394, + 951529260, + 496597412, + 652637482, + 837431147, + 21089965, + 464838134, + 779282536, + 671006485, + 192804425, + 206055930, + 23760205, + 866740682, + 49268483, + 95962094, + 864054022, + 378323558, + 734400464, + 526969275, + 584986917, + 271694321, + 580534194, + 999651458, + 488350207, + 499296925, + 56805446, + 804747564, + 363322075, + 924916630, + 902066118, + 806215172, + 664353061, + 518292421, + 888068686, + 417505305, + 86879959, + 823666649, + 411448204, + 705993118, + 488981154, + 281487532, + 966416878, + 493397004, + 300826413, + 125804414, + 97381819, + 127495781, + 980710675, + 909045092, + 594072642, + 26255185, + 796553574, + 229658923, + 980835834, + 55385113, + 552352244, + 77544969, + 542268243, + 527611920, + 505971000, + 913689003, + 315615021, + 508409711, + 337638480, + 467784613, + 44917229, + 414206139, + 487301763, + 914329243, + 217899058, + 104418525, + 868450522, + 362319724, + 414706512, + 691137477, + 307146782, + 571190616, + 773203648, + 652019585, + 450483992, + 519301802, + 871180480, + 988781748, + 547079931, + 990430342, + 249640515, + 525596923, + 34467639, + 240381025, + 338572984, + 419378822, + 223803808, + 325548960, + 358936855, + 535870289, + 575861770, + 403478760, + 628770254, + 357892256, + 244624903, + 972787366, + 831875134, + 902587738, + 823944715, + 202021529, + 151956272, + 190332948, + 887414206, + 583591361, + 296985527, + 545315767, + 90659690, + 277159930, + 406159755, + 835727440, + 251527557, + 872063594, + 67911442, + 673584969, + 530013805, + 5692192, + 985643158, + 717333278, + 411004349, + 186228878, + 98796417, + 250053442, + 48520036, + 87557258, + 580152607, + 423358617, + 726471847, + 751040013, + 148127202, + 283150641, + 951782185, + 881035141, + 918658721, + 9912402, + 967779847, + 674270613, + 679091521, + 868877312, + 184081622, + 85487207, + 168163906, + 43742570, + 175603454, + 22855325, + 208993781, + 697011379, + 608820271, + 4054153, + 638860081, + 273672570, + 318556825, + 7747608, + 460275562, + 20794958, + 230991488, + 849585073, + 413749000, + 571484199, + 971503507, + 717070807, + 526306621, + 530781114, + 620042413, + 767408866, + 453791715, + 980701857, + 792551934, + 964148491, + 499395853, + 54938896, + 269260165, + 609427695, + 460154009, + 353229187, + 933838952, + 664384635, + 200517290, + 377617089, + 144024476, + 519946588, + 613897340, + 954950376, + 508670024, + 885319998, + 903814716, + 845574007, + 767394457, + 53131253, + 342219644, + 364942629, + 221536513, + 919395927, + 31803873, + 794980982, + 946404374, + 583408458, + 81178689, + 118668427, + 931395896, + 378845780, + 973901046, + 632923313, + 997644144, + 772294835, + 332242413, + 90101407, + 706782441, + 539285425, + 949776958, + 497701956, + 187777411, + 676270998, + 325571627, + 8326525, + 945082073, + 909756032, + 304066075, + 713957548, + 321399845, + 847307861, + 331772435, + 963028581, + 484807615, + 984999567, + 202765612, + 452177476, + 332204325, + 884732606, + 611112184, + 9850400, + 551548985, + 685251216, + 555285594, + 883457801, + 153418136, + 234993980, + 435263449, + 975418989, + 131540712, + 385508001, + 378711013, + 727673122, + 768714569, + 322502371, + 792857983, + 248037118, + 697011317, + 547403462, + 522913563, + 120480094, + 405109714, + 590791712, + 133358552, + 685587018, + 798066848, + 425520757, + 638827472, + 607013511, + 142175604, + 388205612, + 767346163, + 451761201, + 801702887, + 478728656, + 819179457, + 292195712, + 679610881, + 493541232, + 644331909, + 441597279, + 337219090, + 900097079, + 481153362, + 630860432, + 778453696, + 869440448, + 391946963, + 593701412, + 543396509, + 358964674, + 173370410, + 543704719, + 38355573, + 301530953, + 866667815, + 63157013, + 340935639, + 505001734, + 181053759, + 163238927, + 446868792, + 954887345, + 920286183, + 746739353, + 18940541, + 713138023, + 458201345, + 11166433, + 116204699, + 664340479, + 632396386, + 177838138, + 237644222, + 578261215, + 223816276, + 157440659, + 771911423, + 713061115, + 358919920, + 776685360, + 487960649, + 20317843, + 106890020, + 333513885, + 447246279, + 422561916, + 622091557, + 225005129, + 45404173, + 284174910, + 947941571, + 530041397, + 604580418, + 398913041, + 728114544, + 522742294, + 115220267, + 765779093, + 133446011, + 756417943, + 933282946, + 140635326, + 81567016, + 238395439, + 917990043, + 703851877, + 104862581, + 11098374, + 722513684, + 571239269, + 957598268, + 972362108, + 291102674, + 738343250, + 921522583, + 843651269, + 20189671, + 790878125, + 231311449, + 740981445, + 669295367, + 572105219, + 291246871, + 44530129, + 562831038, + 14262637, + 943472897, + 584458912, + 861427010, + 919213068, + 881487425, + 62973032, + 297064923, + 633602006, + 478631759, + 550813290, + 928770358, + 662131849, + 248287420, + 433549757, + 393587837, + 234998678, + 752143347, + 979282197, + 368654312, + 400019443, + 626652166, + 288943967, + 689834202, + 666695315, + 134216473, + 610498122, + 833801593, + 229089647, + 223659368, + 484876607, + 737308125, + 167331058, + 2689655, + 93837365, + 820236228, + 783976727, + 662711567, + 801221856, + 687170806, + 407682837, + 762801549, + 157711360, + 603871847, + 339062317, + 888125032, + 906029490, + 96197535, + 205413627, + 592545252, + 268473841, + 937762336, + 750949359, + 352280553, + 806689058, + 254844734, + 88994820, + 854849203, + 872971180, + 594090493, + 490010431, + 55917788, + 473216152, + 465756527, + 163349034, + 644799571, + 416519307, + 375156043, + 741838556, + 379745065, + 690953888, + 977580942, + 606609922, + 388704608, + 322126696, + 28911393, + 562662762, + 500143428, + 809198787, + 850098402, + 148724182, + 992368927, + 299830765, + 897424341, + 228370891, + 452279774, + 855816199, + 485105739, + 625184121, + 379039627, + 575058232, + 109892165, + 888409911, + 773238494, + 381458138, + 383746535, + 763613211, + 520180524, + 759567013, + 634690389, + 310172663, + 935801492, + 718550637, + 553653134, + 679350549, + 852495699, + 41625283, + 641814388, + 926957733, + 881838740, + 456547302, + 13397495, + 520292443, + 65317694, + 771970046, + 854120390, + 901903908, + 117623581, + 278439108, + 113587513, + 270953501, + 993171619, + 938482350, + 522051783, + 268924967, + 881206070, + 212788268, + 623853297, + 798079608, + 728905124, + 966867770, + 653712715, + 615806065, + 795651943, + 118287697, + 920052531, + 261273994, + 62091991, + 547548347, + 489998096, + 171901713, + 772342113, + 959901414, + 901273571, + 349719849, + 219990792, + 700707398, + 996236165, + 278344350, + 491780541, + 728016075, + 427521596, + 324362233, + 917926331, + 258085224, + 159942096, + 802550481, + 825716105, + 84910421, + 122441817, + 436090365, + 83166638, + 749019528, + 573553918, + 104419005, + 75025930, + 694761218, + 966965884, + 387883452, + 167311476, + 811897347, + 319129981, + 984641182, + 907021698, + 776076407, + 197537342, + 978090576, + 761447549, + 425576184, + 474092657, + 655468963, + 896711906, + 31572034, + 684794344, + 632421372, + 463116386, + 878904101, + 635188937, + 341867016, + 856540560, + 610488376, + 983768268, + 16263096, + 259694215, + 177833665, + 284935782, + 829415587, + 319451168, + 569073678, + 653188276, + 351101504, + 853253948, + 173822252, + 528072849, + 889902390, + 448101099, + 489777915, + 840481977, + 630598964, + 710639273, + 195123964, + 463275876, + 491155533, + 803125050, + 220326319, + 653309921, + 368398013, + 68486994, + 827128292, + 637608161, + 717465097, + 528303845, + 268174628, + 444799650, + 931161428, + 263008556, + 825347740, + 551567512, + 121983096, + 671589573, + 661147931, + 812070403, + 391623281, + 736832370, + 424696971, + 781827588, + 566216038, + 381402339, + 662993172, + 929685843, + 192627161, + 701703925, + 287745536, + 945450170, + 102258012, + 255829065, + 7084213, + 746777427, + 549739978, + 180187950, + 816845704, + 687294428, + 888707155, + 142588470, + 762783366, + 533326098, + 478013756, + 60939317, + 662187761, + 862426588, + 466826249, + 307450041, + 621348185, + 666156624, + 711982210, + 803667115, + 667661955, + 407380441, + 319134879, + 262803522, + 779292048, + 691414739, + 453795529, + 185183224, + 954267798, + 50548190, + 584015291, + 980969230, + 400542442, + 325597488, + 935642100, + 675168157, + 404704446, + 288388001, + 631686508, + 938695631, + 389010170, + 391489883, + 726728299, + 592216716, + 537965094, + 58586436, + 388157076, + 634544736, + 181304873, + 866828587, + 249847758, + 322858583, + 133386536, + 252633891, + 848677142, + 521699944, + 588341256, + 543261652, + 979056079, + 455508066, + 361097841, + 216635854, + 320874688, + 564222478, + 552897293, + 419515191, + 125672440, + 872206381, + 759851135, + 354306216, + 597501212, + 895767051, + 529930455, + 743338121, + 673362889, + 375021403, + 48536164, + 141462549, + 85045283, + 884590894, + 834559591, + 338082654, + 891070452, + 916638082, + 951407365, + 797181877, + 225226424, + 439434542, + 591932327, + 325814969, + 906667475, + 923862233, + 573714027, + 731389616, + 573886343, + 594446920, + 224856828, + 400736358, + 791856085, + 278035343, + 459227454, + 792371041, + 471789939, + 110992585, + 154047603, + 508003729, + 250813748, + 964103054, + 863137741, + 33324003, + 571348238, + 467501696, + 202586164, + 758804365, + 82508570, + 417390468, + 842610768, + 623781048, + 360302682, + 842161036, + 597570129, + 40027034, + 860727515, + 76857568, + 754751043, + 219115752, + 901365375, + 947402163, + 737369877, + 401992442, + 229228894, + 597137333, + 931688386, + 49622922, + 731847144, + 207783437, + 243080504, + 439566037, + 784821628, + 109312345, + 558772056, + 670651134, + 589921723, + 22254415, + 741268607, + 825859882, + 772662894, + 596909991, + 458658915, + 818481332, + 830802216, + 792698265, + 591132472, + 599734235, + 399880373, + 895355031, + 656516135, + 446936339, + 169353727, + 221224938, + 869146455, + 902468500, + 870981528, + 110409262, + 236476847, + 262526291, + 425101717, + 991118799, + 913362798, + 815818651, + 236952133, + 988782751, + 812824170, + 134394647, + 745971341, + 819239796, + 916874668, + 854451534, + 906936027, + 610941815, + 517493644, + 120798904, + 95089714, + 78799980, + 698210024, + 574110888, + 242834266, + 225748191, + 254466190, + 599460372, + 824037415, + 129714838, + 847462667, + 502040870, + 72019134, + 210079352, + 165059810, + 876762586, + 162042041, + 793366073, + 966247512, + 692893842, + 451893178, + 122182544, + 287677080, + 580883055, + 196477145, + 439112237, + 173659486, + 415086380, + 205220987, + 112647149, + 565031370, + 223629393, + 841097069, + 432554640, + 183807016, + 268259717, + 571117268, + 812545508, + 437380639, + 903547263, + 783985768, + 942794899, + 160694689, + 897207651, + 876265941, + 301848581, + 255264567, + 335584090, + 655852543, + 688162120, + 18306602, + 568075118, + 616930726, + 485550977, + 425585628, + 275470197, + 913879936, + 435972471, + 159983293, + 533340679, + 729496771, + 458057177, + 576671402, + 247562747, + 824210776, + 408473047, + 658948385, + 707039292, + 367979994, + 952177254, + 757249518, + 420237467, + 445927227, + 325705065, + 733934771, + 835100696, + 827273144, + 303668891, + 392461534, + 505284772, + 242700137, + 226138503, + 767463947, + 949457019, + 920563077, + 883719131, + 362525556, + 375621650, + 933735471, + 149734053, + 665079249, + 882328189, + 71246179, + 164006904, + 270767265, + 535370908, + 550191323, + 729885278, + 557141923, + 792593163, + 805290206, + 403226271, + 23108664, + 785677141, + 844280792, + 363960080, + 75847140, + 612557903, + 815290982, + 262430372, + 287784928, + 888532659, + 287191639, + 790988975, + 709363160, + 283304652, + 307957217, + 453694100, + 184872300, + 49855762, + 908429056, + 447514682, + 611037119, + 827737832, + 114528571, + 706407670, + 710655675, + 802588033, + 142673907, + 379498106, + 729083146, + 790093890, + 728623439, + 363730713, + 423684512, + 171763897, + 656840705, + 600729280, + 901426624, + 359698296, + 150726857, + 726685229, + 475205746, + 38484880, + 179917831, + 543975251, + 688207973, + 36313145, + 652600748, + 51819706, + 995820544, + 368844646, + 350843564, + 576253806, + 633899454, + 586668023, + 412665036, + 808026104, + 919635248, + 894843830, + 85152845, + 821558769, + 876755084, + 790674639, + 430171016, + 790037234, + 743229417, + 575340275, + 312358401, + 893655508, + 671335731, + 939662597, + 348539828, + 387611530, + 88454237, + 936164136, + 879515170, + 63965561, + 741415701, + 44280574, + 545580662, + 203641733, + 394928252, + 49421583, + 763411654, + 521799677, + 171393491, + 686139749, + 208953092, + 158083865, + 104221217, + 868004691, + 192154689, + 222063632, + 697879610, + 576095039, + 191550054, + 909872831, + 873255000, + 683790670, + 167536497, + 545085508, + 984763988, + 121030243, + 301674566, + 223115685, + 328452844, + 527723331, + 774593755, + 311253153, + 674289385, + 720231876, + 63321085, + 612595161, + 130286667, + 806989113, + 556443607, + 817211446, + 72220580, + 520755524, + 378319988, + 372159221, + 235378434, + 478738937, + 397284608, + 845432315, + 470635937, + 489273239, + 453012727, + 401907922, + 921690863, + 839158900, + 943065254, + 781063736, + 563563585, + 224945383, + 322268329, + 242504650, + 275517228, + 270547948, + 421911587, + 767684920, + 471525355, + 837752351, + 666262379, + 832700365, + 376200079, + 679571707, + 753931353, + 346912442, + 385949162, + 534056337, + 712333120, + 933092909, + 835758701, + 932508884, + 112983277, + 88794717, + 964026498, + 328655242, + 285410454, + 294776892, + 202003380, + 176088957, + 766926270, + 711474037, + 244916578, + 533225397, + 842931038, + 649309118, + 693142946, + 471745433, + 379887345, + 531102516, + 919623947, + 879631971, + 997438016, + 157906821, + 625439833, + 448718219, + 13683975, + 414344707, + 23589681, + 475146074, + 199217227, + 788627261, + 600784885, + 177430038, + 595320824, + 975553306, + 124989643, + 867691499, + 650140017, + 629582961, + 738130161, + 825121572, + 590689557, + 121458764, + 258219544, + 354890347, + 290241887, + 3138117, + 337130538, + 19451890, + 576299177, + 368399207, + 738615294, + 471384283, + 956444558, + 380686898, + 11977038, + 262543578, + 418318124, + 781964223, + 629933779, + 543544763, + 38975439, + 746014229, + 724057664, + 832235415, + 895853974, + 76565648, + 718049671, + 433898898, + 645706164, + 532431891, + 28274948, + 876549332, + 36252375, + 584045688, + 510345333, + 175810628, + 256726802, + 796815549, + 121822906, + 11274347, + 781838977, + 55621720, + 824912596, + 786604426, + 797891516, + 222245143, + 720203127, + 831337905, + 509653659, + 565854320, + 185788683, + 386906924, + 282826983, + 851027280, + 218727515, + 197675225, + 594819179, + 851649835, + 16495202, + 785025364, + 131598987, + 301333809, + 102017050, + 64051170, + 144890800, + 890727031, + 682127258, + 184742615, + 56982910, + 616827047, + 853119399, + 345538431, + 291347702, + 894283924, + 652034538, + 747208012, + 15624009, + 125752169, + 739953843, + 345231844, + 344520022, + 874773586, + 459676952, + 662851448, + 873339592, + 852381733, + 444891814, + 680682145, + 406318085, + 395495536, + 606325604, + 524303837, + 560503643, + 484215281, + 882742965, + 666637562, + 919962134, + 80793925, + 82334712, + 320954554, + 527440876, + 728987451, + 279804612, + 885541843, + 271724015, + 436504359, + 497927961, + 831838451, + 547512111, + 599063249, + 487312450, + 861051116, + 463268542, + 996461453, + 325124005, + 501773635, + 76722283, + 340444839, + 606528514, + 931197942, + 711521557, + 630653238, + 126539963, + 469650694, + 945445627, + 320035575, + 425925332, + 974369893, + 646309468, + 780207211, + 888904107, + 454218914, + 437377026, + 493158433, + 36092513, + 203429830, + 599620780, + 720818713, + 377414251, + 649305598, + 841605345, + 838353421, + 359036333, + 821959276, + 12955601, + 536792759, + 951245309, + 531945672, + 729802359, + 794472730, + 25335565, + 384893628, + 262310254, + 178458304, + 978420882, + 27489735, + 191721741, + 696201622, + 194688465, + 901057268, + 274766244, + 39851636, + 255066715, + 317286431, + 412001350, + 563575169, + 594006816, + 864622826, + 777891598, + 355937196, + 768261056, + 956465993, + 573578026, + 134954098, + 407033878, + 367544548, + 323785844, + 966383661, + 456492882, + 926040870, + 266950291, + 935865430, + 568612772, + 813707782, + 640256330, + 440051143, + 521721007, + 781954796, + 819425596, + 835874200, + 51940350, + 623809231, + 121347887, + 111813647, + 76001019, + 536716255, + 444323693, + 646610971, + 836568729, + 631301826, + 23998532, + 16440822, + 903832297, + 414869840, + 991768258, + 285966840, + 996757943, + 951218600, + 613032314, + 353050737, + 85462660, + 412787115, + 908033047, + 710316452, + 330655209, + 683873045, + 722753185, + 326646564, + 468403006, + 906602549, + 457856828, + 668508206, + 26014085, + 546050243, + 233423601, + 923924298, + 805829845, + 546670894, + 231989978, + 8711537, + 147251693, + 674683999, + 389608510, + 220715603, + 837648626, + 760386690, + 660625349, + 411410566, + 450984772, + 64514444, + 468939755, + 66577800, + 944977182, + 183875028, + 699157303, + 828678253, + 727027552, + 565007934, + 969628529, + 476115626, + 989814368, + 991051404, + 731849295, + 993944394, + 878381490, + 183984090, + 410385222, + 450223598, + 411822393, + 216965858, + 137791210, + 571991481, + 708502855, + 29089559, + 403730235, + 11986006, + 501898830, + 375785879, + 841669744, + 448083530, + 131989282, + 461238264, + 516415421, + 519460779, + 887938980, + 3495493, + 598508651, + 514407038, + 701451757, + 516835110, + 105458796, + 373705855, + 162684286, + 651715059, + 934966223, + 672370680, + 764556048, + 690185688, + 67257161, + 194541885, + 610581021, + 200051979, + 921454650, + 851787851, + 181910320, + 957010903, + 188845968, + 833531053, + 268583857, + 405455784, + 908688542, + 177273218, + 546526975, + 845638271, + 591756491, + 633815217, + 178214016, + 14265891, + 645675617, + 493404115, + 625964556, + 819798271, + 147305242, + 995041124, + 418637714, + 691123702, + 311039906, + 275129064, + 298199244, + 713832761, + 455934675, + 484423812, + 217738686, + 521348172, + 865461581, + 452931521, + 694958785, + 44748928, + 216759046, + 481993820, + 856768390, + 815443337, + 68536034, + 203817794, + 736264225, + 791839257, + 63590536, + 206857488, + 544764877, + 172743072, + 319182166, + 441052157, + 462435620, + 726817194, + 489357249, + 418502421, + 839377398, + 32587524, + 702668383, + 137877931, + 64221325, + 833038651, + 662887587, + 499835202, + 428679150, + 246794417, + 84964988, + 911083466, + 572269010, + 573118639, + 412448643, + 674435910, + 267547738, + 436841942, + 609716018, + 824615141, + 543321984, + 926191543, + 370140913, + 916060299, + 110197790, + 365926104, + 211350324, + 677109124, + 776937691, + 744476864, + 774889902, + 417047081, + 256813403, + 70398587, + 904833308, + 616581288, + 303024991, + 50178569, + 788164336, + 364188977, + 688594852, + 566925941, + 29353042, + 590958534, + 841036030, + 389522266, + 252285036, + 592069387, + 762178817, + 258416024, + 199887122, + 438043387, + 123777593, + 246668894, + 248245465, + 689113350, + 86744162, + 85589464, + 823986334, + 59408935, + 105699441, + 87800880, + 72308138, + 393846139, + 420624912, + 681292058, + 438096673, + 561906248, + 565976040, + 421431768, + 994837910, + 453728236, + 101196084, + 958882570, + 52820605, + 182668073, + 638430450, + 618828566, + 399559015, + 688191431, + 390178168, + 340003950, + 476573910, + 522574851, + 836089563, + 333074378, + 324108492, + 927235391, + 500491144, + 26744424, + 612843701, + 121319743, + 45772115, + 127290836, + 818301469, + 120010291, + 217040351, + 663734849, + 400686147, + 268249326, + 569654444, + 857825258, + 598286490, + 181022445, + 553504842, + 694120462, + 292441257, + 667967145, + 726030183, + 627684362, + 696231028, + 182838129, + 239464817, + 421077508, + 497383119, + 331610908, + 549202390, + 373211188, + 62567231, + 404926127, + 487463714, + 620440535, + 82901602, + 67256074, + 596598392, + 728218619, + 26843579, + 240656053, + 572867631, + 454273257, + 216793540, + 444326906, + 212138938, + 57504998, + 811413926, + 92661697, + 457952632, + 197075365, + 273338380, + 981537845, + 916392440, + 269095157, + 623787382, + 582957835, + 922589129, + 61928253, + 41695983, + 1114867, + 250679260, + 511779644, + 730026107, + 378077782, + 172305200, + 797307182, + 523280129, + 237726864, + 387353154, + 553585371, + 492929990, + 731747894, + 863945582, + 210451014, + 787308760, + 60781888, + 367380687, + 984946566, + 171547266, + 661907950, + 671983401, + 939820637, + 156539808, + 386740173, + 957444264, + 325857058, + 375348966, + 671100344, + 421549191, + 764640387, + 875660594, + 633106432, + 865383519, + 69362146, + 719437548, + 59701427, + 822580802, + 865717551, + 925305673, + 167146175, + 256867287, + 445669235, + 145356981, + 339576785, + 934448516, + 335618299, + 91905052, + 848074471, + 697804651, + 93273269, + 790564224, + 645372726, + 802645298, + 108382971, + 155201146, + 62607326, + 602632386, + 595402591, + 135110497, + 661706533, + 230084566, + 68450496, + 961603770, + 645923521, + 968071887, + 168494170, + 556377909, + 35768659, + 214395511, + 111483472, + 527013130, + 720750565, + 619754423, + 186741927, + 832469848, + 500835367, + 387099367, + 160572033, + 830972679, + 917589286, + 485132922, + 525669363, + 146108926, + 501200552, + 848856070, + 944911877, + 41320991, + 740802817, + 34263051, + 683537959, + 758721221, + 175349198, + 896338757, + 29542943, + 698534678, + 900489480, + 867408787, + 669852482, + 981863278, + 412765195, + 809669110, + 903236530, + 311136801, + 222469979, + 435484726, + 266583447, + 599427229, + 464835329, + 529964144, + 346530450, + 714531073, + 180766293, + 272507684, + 12326671, + 628465850, + 617929109, + 323504512, + 25151034, + 877664480, + 702805651, + 798898175, + 535037559, + 24018663, + 830235064, + 538354595, + 361428759, + 901306445, + 186889656, + 4225109, + 205807030, + 167470521, + 80476365, + 828323175, + 692448681, + 642142864, + 307814215, + 588515187, + 914011589, + 738424462, + 873661535, + 627404931, + 929041157, + 290513802, + 761568193, + 10068165, + 589697962, + 645327983, + 357162583, + 838765122, + 462917779, + 755819420, + 882971405, + 438833273, + 215252406, + 947754772, + 125007745, + 51097910, + 581049060, + 174432706, + 60075501, + 617803332, + 464634162, + 53099501, + 920456699, + 154635616, + 465764304, + 160576355, + 544991070, + 186582452, + 872094083, + 324841651, + 616155786, + 629112067, + 877637680, + 94023552, + 356049186, + 451245670, + 190790189, + 605092789, + 679701044, + 974830731, + 237255795, + 338489080, + 453242826, + 594967835, + 298531523, + 912993547, + 704987945, + 830014409, + 959237820, + 459085732, + 908445843, + 807377552, + 112789383, + 163974574, + 539558358, + 645869, + 750998792, + 795475868, + 981891869, + 365954921, + 880369623, + 239145581, + 243106408, + 937791534, + 46110232, + 260625061, + 361794224, + 930746, + 245122342, + 441199986, + 243894044, + 678757670, + 68586219, + 750416153, + 751141691, + 329052903, + 821860449, + 829444684, + 29693029, + 688832897, + 691139994, + 347223014, + 321793030, + 514653202, + 453022866, + 210198295, + 262685712, + 324841065, + 706988967, + 129807372, + 163422061, + 393923969, + 818896122, + 624517716, + 59543476, + 739211050, + 118838014, + 162120268, + 622846579, + 125867963, + 946202497, + 183496950, + 31822624, + 86349448, + 620634409, + 772342210, + 413854534, + 153614782, + 389676165, + 782796790, + 197730536, + 937255679, + 838792560, + 67287703, + 257415278, + 756979081, + 627457375, + 505270324, + 431700759, + 830128922, + 183669594, + 445702379, + 894305854, + 366063645, + 195167758, + 70277643, + 913662365, + 134682345, + 831620747, + 580932227, + 741465076, + 229994073, + 850804745, + 723717532, + 642975915, + 120661234, + 945710673, + 108632737, + 488793874, + 643120305, + 861092972, + 765759497, + 124103582, + 920128940, + 705375243, + 920685752, + 753535693, + 932287984, + 999102595, + 954687811, + 495407980, + 792562047, + 824515692, + 526241887, + 265163648, + 612663937, + 444786994, + 554325704, + 393591852, + 821127317, + 269053297, + 365833617, + 217320469, + 567081368, + 748909615, + 412709665, + 367092944, + 998873345, + 569835350, + 591873895, + 320539428, + 12454483, + 768030958, + 272479635, + 814672512, + 667440675, + 60545536, + 917626764, + 578864459, + 432131283, + 722760715, + 908911502, + 386289416, + 230321430, + 685723160, + 455675853, + 437956393, + 263440707, + 633473766, + 840675659, + 194529518, + 355199194, + 404396595, + 3603788, + 800809369, + 508391764, + 454563511, + 508110572, + 843014338, + 811609364, + 934810003, + 177725969, + 134707752, + 344283825, + 706085827, + 449749696, + 467644988, + 716082576, + 752597010, + 7193781, + 218523565, + 164841658, + 655831076, + 769262783, + 133194128, + 795771984, + 914223292, + 617395297, + 753186711, + 488123938, + 618343519, + 528164610, + 321548360, + 720484468, + 925709297, + 874274609, + 589732866, + 25397614, + 986913681, + 625137847, + 608564551, + 893673748, + 347484413, + 379555863, + 177553010, + 911553260, + 980874415, + 113265970, + 903262038, + 149600616, + 690992760, + 152326329, + 374428129, + 850800373, + 144085669, + 917176218, + 374902943, + 62186563, + 563968478, + 4330611, + 783591821, + 931629303, + 436163114, + 364705501, + 383699549, + 602684152, + 228294784, + 997947927, + 687390735, + 86403932, + 98334099, + 177185374, + 889652031, + 217362800, + 649662572, + 641553204, + 598660200, + 404650098, + 303319951, + 251936194, + 962426474, + 396845082, + 162343561, + 180327436, + 882460209, + 252212540, + 33829521, + 639687879, + 96724652, + 922410073, + 13628354, + 667765117, + 315921120, + 890564693, + 702631041, + 319629722, + 646512983, + 224748565, + 549115954, + 99692988, + 86630230, + 289171046, + 463986635, + 723784171, + 11259204, + 358271790, + 24407235, + 879636298, + 641248512, + 688766517, + 371100743, + 751872178, + 73944537, + 928046837, + 608167410, + 710884031, + 652016251, + 987595300, + 840420618, + 658405832, + 350381980, + 369989755, + 496368091, + 318703417, + 617461100, + 678634988, + 199360577, + 960013572, + 673454490, + 875357169, + 798494933, + 295433961, + 426809540, + 676724444, + 335746689, + 669019441, + 322346126, + 414864531, + 799753725, + 278939891, + 508133097, + 423788982, + 302314442, + 722693003, + 621964029, + 675908443, + 247956675, + 245998457, + 536814741, + 913610629, + 785983095, + 410716879, + 101798046, + 291596284, + 456638102, + 513378448, + 410535089, + 795320033, + 680786764, + 664084541, + 804285919, + 569022641, + 855669673, + 399181849, + 807078001, + 227291187, + 544922341, + 3527604, + 208852589, + 397372278, + 566624113, + 216115979, + 528444227, + 536927586, + 539594583, + 678498118, + 214991011, + 819622142, + 94131597, + 257703788, + 129180513, + 162947759, + 156607852, + 631432639, + 22634598, + 279475231, + 218668421, + 646254675, + 275687956, + 536640694, + 564137330, + 263110389, + 495342344, + 737627840, + 537865287, + 352125309, + 985867673, + 419037676, + 522886675, + 621832378, + 25593453, + 752597712, + 566402029, + 925438872, + 825690200, + 817733707, + 984717621, + 166670242, + 891719795, + 232853254, + 217693992, + 75758252, + 613727926, + 990465848, + 721473483, + 56327740, + 950678343, + 977675639, + 434207424, + 691506444, + 255850776, + 508396534, + 672311043, + 705875280, + 117690340, + 756716768, + 5316521, + 433033595, + 776976447, + 809203818, + 276176411, + 886380803, + 341583557, + 388069919, + 933581002, + 852868788, + 200257573, + 801663182, + 806063295, + 225891685, + 218688829, + 503489218, + 748806965, + 22761385, + 916319932, + 612792397, + 570189069, + 919870057, + 537691610, + 261238715, + 171963578, + 235147452, + 622094326, + 833343137, + 918544191, + 300757201, + 224132407, + 657216833, + 979346839, + 729024682, + 815608944, + 250962493, + 243796542, + 398027520, + 61940752, + 650478887, + 965018879, + 254572269, + 32721121, + 326707981, + 282632928, + 413832830, + 492469841, + 966602313, + 409503860, + 872764787, + 514267941, + 841826792, + 159939592, + 171262920, + 401251692, + 2927120, + 48966683, + 129526315, + 623142147, + 738666031, + 174804882, + 64899612, + 108936370, + 597661636, + 589851418, + 127858515, + 194069959, + 304694501, + 216939833, + 139854844, + 926971059, + 276353220, + 173945902, + 771115242, + 180066803, + 535374189, + 185969706, + 50889914, + 879123992, + 365568257, + 14674608, + 3473797, + 610478456, + 333482726, + 432014471, + 1273434, + 853082332, + 322836879, + 434896407, + 611251700, + 263092424, + 502357838, + 405224787, + 437790842, + 190499856, + 145616760, + 693454353, + 732699847, + 467828643, + 47606982, + 428044718, + 411102847, + 402602090, + 982228787, + 851909341, + 242479192, + 171590810, + 303983445, + 555338218, + 447444989, + 934103858, + 97646685, + 71888437, + 130004725, + 288092227, + 967611541, + 143011683, + 645117147, + 143218506, + 978431691, + 528229826, + 342712351, + 178109168, + 429381945, + 753284384, + 92863914, + 261886235, + 623419893, + 240237511, + 900334790, + 793758285, + 457978620, + 932142801, + 762680086, + 11987587, + 512608877, + 918950076, + 259229468, + 4269494, + 18636948, + 981401179, + 610478119, + 587584239, + 521018094, + 219918277, + 16689753, + 721388050, + 71759491, + 320593534, + 741021241, + 904612988, + 671318205, + 543258285, + 391331653, + 815172969, + 472921113, + 6346250, + 678906254, + 290864507, + 407088931, + 176655634, + 914380929, + 989063993, + 625326351, + 999322534, + 196634858, + 768110196, + 512516311, + 424034367, + 168477118, + 256112883, + 14884490, + 586866098, + 687791858, + 405865236, + 375672305, + 645886450, + 648964249, + 644570314, + 570432063, + 59969527, + 751215459, + 149942451, + 900143297, + 267946075, + 79003680, + 78954313, + 851697499, + 137511671, + 621142115, + 956995256, + 219649249, + 274497951, + 111876437, + 493186739, + 739045751, + 639994381, + 795984602, + 128249865, + 386710230, + 657936151, + 424416886, + 312772318, + 389014079, + 110640604, + 525124576, + 700984094, + 358561022, + 245819481, + 573866636, + 257871186, + 960956923, + 57505209, + 577992488, + 277420464, + 308154006, + 295640489, + 510538676, + 920942945, + 199991785, + 624153999, + 676951952, + 234694175, + 340870474, + 941035516, + 12773744, + 48633577, + 923790333, + 752525124, + 805272461, + 160782206, + 394886702, + 917887087, + 63068328, + 437845662, + 236321443, + 165195041, + 387761917, + 35198204, + 168214652, + 393934417, + 546512767, + 692332211, + 97362754, + 775684454, + 659713849, + 788558770, + 163402131, + 90240482, + 432864080, + 264632347, + 991211129, + 279488562, + 358062039, + 218893220, + 779467430, + 180284379, + 902311527, + 665882660, + 620432408, + 18369784, + 760100541, + 299054059, + 432021504, + 736340526, + 871394383, + 788191197, + 880234839, + 82036064, + 705365916, + 394490858, + 862915693, + 745709807, + 701934306, + 802081418, + 889452076, + 963389145, + 754964647, + 927895661, + 165444774, + 695416374, + 946563794, + 748314161, + 662511605, + 68350130, + 897492627, + 484873890, + 572547657, + 433591110, + 537404517, + 8930307, + 343976210, + 345027127, + 239344496, + 975080239, + 909615971, + 629921575, + 869964224, + 337428328, + 823093952, + 470413175, + 527974137, + 718395215, + 662563287, + 533656378, + 542646973, + 802527755, + 512437800, + 7370941, + 261042907, + 653417425, + 977352864, + 863707948, + 328621446, + 142179202, + 740483938, + 510524022, + 797405983, + 363586804, + 431824906, + 685147701, + 205538480, + 452504197, + 809152966, + 646251349, + 727154603, + 519547909, + 715081597, + 276967386, + 50967279, + 978373903, + 219779023, + 729561001, + 85869024, + 794952971, + 269026989, + 523998565, + 519637660, + 663291263, + 521052753, + 973690533, + 925467424, + 156130575, + 155729748, + 501194945, + 761710471, + 490306437, + 482375260, + 341733568, + 693700167, + 725031766, + 676978737, + 269850694, + 816961906, + 934893082, + 122337432, + 469953132, + 775097950, + 561440860, + 58846075, + 706282037, + 90850140, + 917133798, + 109777365, + 901974525, + 490546893, + 653213923, + 901851481, + 867767630, + 272368428, + 126231383, + 465644620, + 913062305, + 941917230, + 813578086, + 273255769, + 582694848, + 192332629, + 344819683, + 250525282, + 579009455, + 430937118, + 517163278, + 190041094, + 461307340, + 787521347, + 585137159, + 102974346, + 143318033, + 894969852, + 61658639, + 818092790, + 876268755, + 44451576, + 559789603, + 630559381, + 37617890, + 356177275, + 841647678, + 904450401, + 931163947, + 831620571, + 885112093, + 92193298, + 500969105, + 487642887, + 427538956, + 540751137, + 294075643, + 771338686, + 311351767, + 870485136, + 641027057, + 532279596, + 695908849, + 778194104, + 667095749, + 77535491, + 207104965, + 209443874, + 30031781, + 717760350, + 609373516, + 353286757, + 723191694, + 146260469, + 489347857, + 899936, + 213638022, + 985606489, + 329189595, + 820837652, + 432651145, + 939872314, + 759419820, + 88287126, + 956966224, + 394486643, + 241428064, + 725317802, + 486194627, + 835910089, + 8680988, + 182249958, + 358961540, + 708956045, + 790215528, + 879554115, + 578400923, + 44210669, + 582796462, + 165248660, + 713817131, + 220960570, + 553315157, + 757658885, + 982213327, + 393312568, + 242310564, + 795132158, + 748349050, + 697538798, + 239949498, + 160232751, + 734781060, + 556810288, + 829257072, + 687299714, + 683957020, + 989129975, + 398165312, + 389734499, + 19745136, + 658684268, + 98406648, + 392316027, + 751727186, + 539789671, + 867754015, + 136338178, + 45098410, + 493919460, + 880412635, + 908839631, + 68541610, + 850829588, + 161979687, + 559607904, + 903921977, + 345088433, + 282248290, + 471747905, + 259658888, + 520220622, + 981066934, + 209079755, + 112504652, + 16093788, + 979256450, + 356885980, + 426828204, + 802465207, + 870847467, + 934419962, + 29420639, + 290873438, + 146456116, + 887464171, + 357931820, + 566193341, + 617575147, + 393824865, + 21751288, + 227814911, + 858772843, + 621356981, + 684219472, + 713786108, + 901731410, + 452251047, + 174504418, + 541341339, + 886326836, + 200861074, + 506473117, + 162100235, + 308738157, + 88491141, + 330288708, + 206700698, + 303912371, + 405859863, + 110695475, + 220420623, + 295253393, + 44617701, + 658202902, + 332688958, + 158248932, + 643817926, + 514380239, + 17642907, + 226569319, + 248808722, + 4124113, + 606501387, + 151576188, + 110968338, + 794130320, + 705786921, + 560128040, + 696165693, + 432481241, + 492208462, + 751204449, + 283988997, + 434542204, + 824897372, + 250578730, + 527863486, + 915661097, + 71820798, + 790170193, + 111157730, + 985009033, + 668875383, + 816009052, + 734711662, + 894920468, + 280606616, + 662480191, + 108971381, + 477136419, + 551371481, + 22980783, + 806162148, + 291496873, + 431101647, + 731808966, + 507910995, + 717343915, + 915495267, + 347590091, + 753239236, + 852607987, + 930382917, + 556861755, + 270278658, + 640230343, + 744474751, + 362002120, + 46813151, + 489175389, + 156539550, + 814085263, + 31289123, + 53845746, + 553318934, + 487255480, + 635412403, + 834325433, + 958515807, + 797397503, + 102484201, + 709357917, + 691127437, + 481405393, + 660874147, + 181971204, + 720766279, + 547917393, + 924722500, + 338545716, + 890200052, + 745798892, + 145183727, + 692383843, + 893069267, + 698884197, + 995864521, + 595393825, + 602740342, + 799091808, + 814885145, + 719603689, + 284750790, + 284560647, + 798144898, + 998847655, + 919751540, + 428391078, + 187937562, + 476646851, + 377478797, + 797943658, + 483199957, + 815000823, + 97680774, + 84777375, + 924293932, + 735115891, + 29944539, + 235831710, + 690854673, + 70883147, + 844039430, + 693849277, + 369194790, + 98222089, + 542812568, + 443981270, + 576327902, + 987103331, + 79889479, + 817090697, + 74869731, + 771210110, + 600299850, + 158237037, + 566783777, + 782121298, + 633219692, + 535423546, + 781142942, + 603777085, + 378237354, + 236084850, + 655674055, + 477570880, + 187522789, + 481505989, + 389338535, + 960280140, + 142704753, + 960928171, + 804437123, + 710201614, + 612319618, + 948766922, + 959482242, + 410649151, + 62677912, + 916145054, + 131107891, + 550989602, + 751847784, + 980476045, + 588406680, + 771975257, + 51516379, + 110374575, + 29796756, + 752719837, + 620818363, + 149645833, + 712385518, + 734374589, + 154228, + 691766016, + 407967856, + 989534103, + 112015936, + 317787084, + 213668328, + 528304764, + 912369352, + 450416891, + 73237672, + 497999433, + 285869714, + 897823087, + 365293092, + 618151015, + 915128625, + 951268164, + 729977529, + 610300570, + 61817493, + 610449571, + 341210808, + 29026066, + 133893314, + 212617928, + 499188278, + 255034836, + 784790342, + 338056706, + 831471416, + 936766645, + 732606666, + 20561275, + 462335191, + 816521638, + 934357535, + 154494685, + 109014898, + 992035603, + 379844626, + 684996526, + 162190368, + 814986370, + 974285818, + 804869099, + 300770244, + 137036807, + 36592889, + 857838530, + 132889382, + 926950932, + 746175844, + 217200532, + 316892416, + 49782444, + 302282227, + 613042195, + 28496260, + 214762473, + 885230168, + 816807074, + 405808959, + 157414329, + 341488105, + 548884258, + 285483144, + 736155324, + 684481648, + 319929474, + 409387402, + 737590923, + 985830449, + 848501316, + 446096411, + 552966811, + 678840044, + 669050279, + 551901504, + 205786073, + 196618259, + 176636942, + 64283667, + 291979430, + 527758619, + 332414897, + 560470591, + 123906693, + 130361720, + 953515452, + 267628549, + 113489800, + 919535088, + 586980595, + 111045194, + 179781887, + 340790953, + 127872355, + 653858543, + 485846402, + 917483202, + 723961850, + 981452188, + 466423071, + 350498850, + 39024715, + 692570938, + 6421070, + 380511146, + 250526615, + 543577881, + 138340191, + 861355661, + 355836973, + 987461650, + 556377086, + 622740481, + 648134713, + 69921183, + 739905578, + 514977629, + 871104676, + 338943882, + 891717901, + 61681643, + 553853336, + 243078959, + 978254674, + 524720642, + 308278551, + 678520102, + 679267389, + 883891132, + 994615313, + 806124273, + 458704280, + 904074633, + 699538884, + 112053654, + 93284301, + 494983522, + 665090215, + 407705760, + 220297722, + 463165083, + 706740681, + 305964200, + 506922142, + 473986433, + 435940295, + 562540029, + 497304976, + 199614342, + 601097331, + 711766882, + 193354742, + 286556941, + 380065048, + 116809947, + 946877957, + 922925297, + 161995026, + 979490645, + 408025462, + 443907526, + 124791822, + 555842940, + 694444830, + 165974034, + 254329926, + 694157796, + 321072914, + 303257810, + 607850625, + 293479650, + 207159196, + 8844942, + 473243276, + 200212675, + 553433213, + 467995270, + 406551106, + 591413581, + 188758696, + 292974147, + 976609005, + 899474705, + 563415042, + 743412878, + 48042526, + 283939402, + 372881731, + 30005193, + 938980886, + 710844446, + 105911973, + 557997745, + 877037539, + 221599604, + 468920766, + 413082035, + 664540390, + 219039214, + 497598926, + 551886739, + 139162884, + 175001223, + 580159459, + 993804215, + 693907540, + 525284365, + 614242397, + 927787322, + 766684546, + 693465654, + 402909214, + 722308345, + 416161814, + 927929439, + 234847340, + 343289645, + 908447085, + 929694207, + 748061288, + 313072740, + 761612202, + 962348712, + 684075467, + 693893100, + 189205540, + 280479043, + 316020210, + 329353986, + 890910405, + 848165342, + 929406598, + 463478918, + 236453784, + 358843861, + 599491348, + 255188989, + 853179461, + 341528402, + 117021475, + 773947, + 843733239, + 495899666, + 149009053, + 582112091, + 755255812, + 65757627, + 344054015, + 131515808, + 294763359, + 208406902, + 189078186, + 149022417, + 33401137, + 895558564, + 768231214, + 382313749, + 201492614, + 951380466, + 455759976, + 264987901, + 142690027, + 442263076, + 486671884, + 444509090, + 532975145, + 44624264, + 464693039, + 31047841, + 122089415, + 459368458, + 836762436, + 819875814, + 790302793, + 891237782, + 368140488, + 165292350, + 641222235, + 466855335, + 459495729, + 651965948, + 452004212, + 593568153, + 900335213, + 215116167, + 687740103, + 906600359, + 131906032, + 743592410, + 264488455, + 895823837, + 549112711, + 56013899, + 557661217, + 452711924, + 410608149, + 505445269, + 114160595, + 358114158, + 866665195, + 65794416, + 868760061, + 965513848, + 176012509, + 114934047, + 89304557, + 830240927, + 384742355, + 309685530, + 669270407, + 910197771, + 403556928, + 208994172, + 377930073, + 647215512, + 452729770, + 543143182, + 36803039, + 789024889, + 435906055, + 29897488, + 341595483, + 624864792, + 113207937, + 352519706, + 40574513, + 872111443, + 480677815, + 65605089, + 803635431, + 298368573, + 8343622, + 725978615, + 848226008, + 934361278, + 838751453, + 695832720, + 921134643, + 431654234, + 365161861, + 885275213, + 595056554, + 954961288, + 79085120, + 344958830, + 238963093, + 334950351, + 746306386, + 307177173, + 4525885, + 856184585, + 120471873, + 941156496, + 780328777, + 869031764, + 749324491, + 858349244, + 264320346, + 322310240, + 480817522, + 578673988, + 409187713, + 942842940, + 898543933, + 245509458, + 735700160, + 716627428, + 50824273, + 131202497, + 583148640, + 630688290, + 150450022, + 823484729, + 865867060, + 247329511, + 338175880, + 736824598, + 545222005, + 163453148, + 227443968, + 333225881, + 10310701, + 61841256, + 251614574, + 395837721, + 881522653, + 476682710, + 602494623, + 975260190, + 539932691, + 730647053, + 799135513, + 781785282, + 590756360, + 194554281, + 86434605, + 641996355, + 153578299, + 789872657, + 62176256, + 368843314, + 858407102, + 536025310, + 228071265, + 282028783, + 934609893, + 228304583, + 309851224, + 471102166, + 174284324, + 68698420, + 191358955, + 385351717, + 887632298, + 497501717, + 140748849, + 565643238, + 507398760, + 470246012, + 202282303, + 71043943, + 385520149, + 835508118, + 867266438, + 949364292, + 378290368, + 794079736, + 878824091, + 494143768, + 542509940, + 55566299, + 385422282, + 996666740, + 927234935, + 990292582, + 356591064, + 366914656, + 589672311, + 835938191, + 746829320, + 816003570, + 78683348, + 249622411, + 754148756, + 732053972, + 115755970, + 196205155, + 949219818, + 965250954, + 760501045, + 167268579, + 281921423, + 693285590, + 223561476, + 205169032, + 602764607, + 399301363, + 84269072, + 861558881, + 275676003, + 352666739, + 717050253, + 888573667, + 600442012, + 313216662, + 542722452, + 289561282, + 819282488, + 815487819, + 532719937, + 480526859, + 422053238, + 732108210, + 88405093, + 422242743, + 825873406, + 838299645, + 300555273, + 86822582, + 256591185, + 419876159, + 121959856, + 426838771, + 947848861, + 172386262, + 355559811, + 854881314, + 91640570, + 586567231, + 897084998, + 723159500, + 692237737, + 109126179, + 149178613, + 180290885, + 860816149, + 138598876, + 285972095, + 957320714, + 555036267, + 260268207, + 996207092, + 438829457, + 943469715, + 225580091, + 96523748, + 162029198, + 830617734, + 640494464, + 5706511, + 16206384, + 23280246, + 108795954, + 483238413, + 45159600, + 918476740, + 782143001, + 514873613, + 782806265, + 461666479, + 958342177, + 118681107, + 855573603, + 581781639, + 174326156, + 211285154, + 570481437, + 549801734, + 651872294, + 837243181, + 361033419, + 820712414, + 803099515, + 836715691, + 230721231, + 308528289, + 978854535, + 807434316, + 66734947, + 415207902, + 82369553, + 853054472, + 591543910, + 168295747, + 320671660, + 889878421, + 855613296, + 797116719, + 726287729, + 674142662, + 53145704, + 863716812, + 997826995, + 243547734, + 827564013, + 103628398, + 317559969, + 26025272, + 856562893, + 958779856, + 345759705, + 387359493, + 725909164, + 518974626, + 308400085, + 169691165, + 840322433, + 605404289, + 121046524, + 779414092, + 368708983, + 99769095, + 287951829, + 712313285, + 628771854, + 954344494, + 199189490, + 882758878, + 282881422, + 252875967, + 311262976, + 191118247, + 800154145, + 143111007, + 818861319, + 917369068, + 266183317, + 180820631, + 760985262, + 993756274, + 760661057, + 467293171, + 542387065, + 183257760, + 971411539, + 805203055, + 808927747, + 442949441, + 950362157, + 93296917, + 949924395, + 427525949, + 685367332, + 22399081, + 521689100, + 275625204, + 478907402, + 7606173, + 157799554, + 271008731, + 804029538, + 574826379, + 280765977, + 52566813, + 102735920, + 163342223, + 668309017, + 54433149, + 900712398, + 572778022, + 473590410, + 688463632, + 433212947, + 410411794, + 609215475, + 108349721, + 707977132, + 476680152, + 836217046, + 79428900, + 161827619, + 825941008, + 833026936, + 511948086, + 498708358, + 976644509, + 968337522, + 673415556, + 558012830, + 552011674, + 744163321, + 196899909, + 598762724, + 475932421, + 495708404, + 52631053, + 654414775, + 755024116, + 985591367, + 603176313, + 789636669, + 948000408, + 193545235, + 932073542, + 98652849, + 397680524, + 553285259, + 511995680, + 921174587, + 32907144, + 994448014, + 925783852, + 434098669, + 178338428, + 80441921, + 236119127, + 678141159, + 980761279, + 338481519, + 970300193, + 183232381, + 752524693, + 47858268, + 363205951, + 41659802, + 230687703, + 282857444, + 335729628, + 427501640, + 653305194, + 505574468, + 147577837, + 32062532, + 986391603, + 326110471, + 450649471, + 282615194, + 174492105, + 229786153, + 227345651, + 974142529, + 634630325, + 730106725, + 690489483, + 29105196, + 630958759, + 39711772, + 357284800, + 535726471, + 738205494, + 623214106, + 399998268, + 638391304, + 578076359, + 324714283, + 749838562, + 759579721, + 674929218, + 437970607, + 564795138, + 230363780, + 906940654, + 423254862, + 624511868, + 870013876, + 993968881, + 967711320, + 901392007, + 957714744, + 166260833, + 913972088, + 321728888, + 545902993, + 638674772, + 924039574, + 468469620, + 936865751, + 586413457, + 994414840, + 108567782, + 95883563, + 615478462, + 873779928, + 310766067, + 754970061, + 738633888, + 220934679, + 175021908, + 398771086, + 102209725, + 634526549, + 810051284, + 507869345, + 16858275, + 382853483, + 613566058, + 92090652, + 399708602, + 784045261, + 870549240, + 90923564, + 156750032, + 603356992, + 132984417, + 565748942, + 542338527, + 288343661, + 980936041, + 844619705, + 758723556, + 339247193, + 667345025, + 507426094, + 869101398, + 404868131, + 677526796, + 725416468, + 539125982, + 188759187, + 388046890, + 350981878, + 293509962, + 797028375, + 964454717, + 867475818, + 372988816, + 508318785, + 292682818, + 268669537, + 67108171, + 852723467, + 406759916, + 767846179, + 81919582, + 601391241, + 627329724, + 980061401, + 825673593, + 706113417, + 66264735, + 723975422, + 843390317, + 668568376, + 182779702, + 541448239, + 833786823, + 347739122, + 688638821, + 880645407, + 917574760, + 906346305, + 868138, + 478754136, + 42406185, + 590186248, + 730573708, + 280942181, + 208903918, + 658236979, + 998136625, + 739597657, + 788028501, + 156241864, + 792161429, + 127708520, + 271572389, + 166084609, + 382588377, + 796552571, + 727101065, + 650373757, + 422239303, + 96761991, + 153707037, + 261125093, + 906169327, + 167743659, + 340061944, + 849673655, + 147741599, + 434281233, + 261745985, + 796220828, + 206283607, + 652510040, + 535620442, + 332739751, + 444188510, + 436851724, + 496095046, + 314180501, + 120843378, + 454921126, + 123902417, + 88890785, + 319231762, + 518958171, + 631399543, + 953623556, + 655266470, + 5448729, + 649532546, + 992884196, + 998977721, + 821259063, + 905161708, + 600938960, + 366782075, + 279229090, + 933593835, + 787261932, + 891546901, + 51482243, + 835234209, + 434764920, + 674879843, + 884017755, + 687149907, + 637366144, + 301608849, + 368748501, + 112439951, + 878924957, + 830811186, + 524261965, + 905878986, + 863044436, + 91510487, + 784139595, + 850238906, + 575186122, + 392245613, + 234155669, + 113915905, + 340851284, + 144509912, + 893064706, + 51515140, + 753866714, + 247446570, + 81234483, + 964115931, + 749074871, + 657354216, + 239226087, + 262706918, + 155039260, + 227689698, + 372426355, + 797947039, + 692707184, + 279969831, + 337910323, + 21663850, + 597587869, + 555768279, + 363340467, + 396809600, + 562676737, + 442905554, + 549987570, + 956422887, + 113542963, + 922456248, + 177455939, + 345340143, + 933105720, + 210323177, + 61441534, + 706227319, + 288427178, + 562190330, + 114088060, + 866889622, + 326801254, + 144263634, + 825325731, + 879378382, + 784319952, + 362943412, + 594476147, + 790867177, + 481931750, + 31691194, + 564931147, + 1508258, + 959131112, + 756846096, + 586889065, + 273244603, + 993826396, + 926509266, + 845094966, + 276701431, + 492474939, + 926031586, + 924842374, + 285320568, + 40331645, + 206638165, + 906828359, + 471471790, + 432966233, + 562072808, + 127551705, + 219645077, + 714288733, + 942536415, + 824127986, + 907649246, + 768815283, + 283917909, + 41221942, + 861794227, + 644561919, + 537890237, + 937134856, + 971974566, + 803066150, + 369071167, + 490461198, + 265071386, + 904163508, + 814675247, + 435107427, + 803697387, + 599487352, + 880170510, + 94803834, + 159642681, + 434198248, + 3401228, + 238663796, + 447884074, + 805262191, + 65392435, + 189295756, + 692791808, + 526055458, + 962433690, + 952196849, + 1675302, + 483120183, + 452451483, + 46164348, + 750551604, + 427524609, + 783152072, + 754455385, + 858845175, + 385726403, + 191965142, + 152123518, + 990636071, + 538328968, + 47494598, + 867502707, + 496226511, + 513023584, + 743349545, + 190024334, + 520604629, + 52117516, + 949761968, + 57681039, + 54760992, + 221357085, + 68582734, + 714694109, + 286983687, + 920279371, + 667969047, + 564677047, + 952449845, + 174213211, + 14846302, + 212111706, + 655056758, + 406829841, + 739007944, + 215758154, + 162776217, + 51297932, + 564512516, + 152357581, + 46526581, + 2306931, + 537926235, + 510826353, + 947948449, + 581757813, + 80281424, + 285068739, + 726077597, + 898075151, + 75967339, + 353669347, + 821957271, + 267532488, + 777148657, + 300424507, + 120075797, + 526365204, + 224804874, + 292931374, + 429710185, + 403571069, + 355817402, + 673695938, + 886915227, + 740318853, + 203674484, + 697233329, + 914507921, + 762846838, + 483732671, + 655752867, + 343397312, + 158883669, + 399996953, + 375143506, + 685084644, + 185027350, + 853434550, + 493596582, + 736924964, + 525355119, + 868659443, + 55914753, + 145609268, + 405164251, + 337952696, + 535615087, + 717645666, + 559904985, + 669575872, + 348949315, + 419536870, + 540874802, + 638369402, + 921986548, + 561017311, + 539392464, + 585749131, + 23616794, + 571120155, + 825905961, + 846402600, + 732910926, + 788523590, + 880175704, + 901689774, + 301433574, + 14785792, + 21839190, + 895978755, + 389018525, + 775520521, + 479684720, + 412066529, + 515224745, + 919090512, + 774518890, + 947706318, + 280967086, + 897476239, + 22756859, + 59639791, + 311308044, + 790724392, + 194915554, + 131713616, + 897747748, + 172238490, + 115601461, + 935709744, + 652714569, + 860277715, + 772561136, + 731173612, + 415333673, + 792237954, + 490429753, + 379024778, + 944705984, + 300987292, + 734404783, + 679327553, + 800469200, + 596427174, + 275596343, + 931167700, + 254589990, + 554991586, + 964940592, + 190461758, + 252034606, + 266721894, + 435635966, + 868070939, + 567075788, + 474761885, + 143395409, + 114792214, + 644688620, + 707677943, + 181694865, + 788536600, + 95369055, + 939474991, + 653613656, + 450713008, + 735389019, + 428775457, + 737826517, + 977161649, + 120193551, + 124473814, + 496197017, + 316476312, + 55317515, + 763465291, + 746271880, + 989002864, + 504160950, + 656673795, + 523902983, + 163283641, + 914573300, + 279606846, + 412345523, + 749450610, + 501354181, + 562080993, + 772080524, + 861783747, + 627999843, + 999341575, + 811163238, + 856112445, + 505787615, + 69437479, + 864850036, + 269883948, + 650915490, + 178531760, + 937501219, + 784771570, + 786304796, + 306040005, + 277614909, + 162659272, + 179290339, + 387711436, + 887618981, + 804611884, + 930750221, + 763024974, + 739767687, + 880171462, + 361412073, + 99264565, + 458232747, + 582602362, + 912750982, + 567516444, + 82078757, + 780059042, + 646839977, + 977461642, + 651155274, + 934164143, + 123145697, + 125010521, + 106097306, + 5803436, + 579826281, + 36000236, + 64076061, + 20625908, + 86017058, + 441525824, + 333092927, + 135556128, + 283116378, + 488002015, + 313621061, + 399686117, + 495479462, + 769233686, + 807619580, + 955449456, + 329377846, + 574523104, + 447543881, + 74234038, + 711305411, + 15844523, + 324079597, + 783214925, + 788133501, + 443601857, + 403755704, + 924397740, + 602431031, + 790174109, + 7043080, + 112583026, + 967269030, + 938003268, + 974578773, + 165684293, + 668856220, + 244050278, + 780626326, + 59914606, + 515576350, + 234609617, + 958618530, + 273335615, + 701571291, + 708027798, + 777170804, + 184204076, + 761514232, + 543495510, + 307475293, + 595557569, + 385002705, + 14895380, + 54784530, + 435487374, + 213772115, + 490940622, + 77557279, + 561549751, + 180585793, + 420749726, + 571457192, + 494072454, + 837710340, + 716136464, + 168706977, + 413366246, + 845887765, + 411660277, + 400562906, + 432516047, + 402339325, + 445785363, + 160938921, + 714059335, + 404940900, + 908979881, + 541672358, + 876760536, + 169993925, + 572214784, + 778877928, + 77779566, + 74050616, + 799625413, + 710457488, + 758485191, + 905988748, + 17638419, + 308101692, + 99738246, + 848100917, + 589127479, + 707165202, + 341120450, + 17551556, + 769480003, + 114931698, + 875344010, + 319176392, + 790225158, + 317843559, + 353149070, + 717243402, + 807188246, + 167516670, + 769160180, + 610507581, + 112892413, + 673053471, + 491268887, + 172091785, + 389577002, + 657428820, + 518818174, + 780990383, + 977514522, + 348583532, + 503351856, + 619669037, + 677089159, + 341387962, + 508516288, + 27165435, + 299078861, + 213723549, + 667188790, + 628443262, + 959652828, + 506933459, + 52347692, + 437031417, + 656202604, + 175693573, + 311881057, + 617632023, + 634127924, + 834748292, + 660471901, + 471786792, + 284258050, + 773806564, + 513611234, + 565975063, + 139515243, + 449558474, + 213375673, + 893563392, + 86264932, + 642828816, + 713448297, + 940348394, + 845707020, + 57929344, + 632513704, + 207179914, + 99795608, + 637997990, + 467380123, + 305253348, + 733514931, + 783283452, + 402191561, + 736881270, + 37585624, + 759373286, + 487448494, + 450251289, + 841059365, + 762176431, + 804447567, + 200408873, + 369833570, + 39646408, + 753847606, + 111897863, + 342461601, + 857288833, + 814828202, + 391082561, + 916939452, + 119791666, + 306458035, + 67762415, + 674181422, + 48648245, + 810767517, + 541757133, + 537550584, + 136630746, + 513210788, + 889423235, + 136671179, + 439481334, + 548184015, + 302057588, + 322775071, + 47625018, + 609906767, + 485853760, + 475266518, + 912023262, + 607388616, + 349103216, + 829335055, + 495128455, + 915403487, + 869184519, + 826237033, + 925910115, + 435211711, + 77077300, + 109182301, + 232952259, + 356809569, + 535082041, + 572320928, + 55670656, + 63414766, + 560343986, + 878543345, + 549485766, + 60881599, + 424632309, + 698468420, + 549091633, + 928813281, + 26500094, + 847746861, + 753241385, + 133468635, + 701130501, + 316283538, + 82810679, + 496540964, + 417786221, + 910104475, + 635058301, + 721831621, + 944675596, + 145067363, + 431521462, + 685193979, + 602963035, + 438647391, + 109591753, + 40047468, + 17209805, + 736391535, + 737159606, + 97937783, + 644328110, + 289647387, + 337558637, + 170552556, + 476779108, + 670597770, + 817264256, + 985353776, + 411540904, + 316373900, + 736271874, + 771501127, + 546495615, + 493876034, + 913203497, + 985834074, + 354536155, + 515241670, + 789539917, + 945845829, + 721094171, + 457634040, + 899723858, + 900190043, + 752109367, + 344635047, + 570546316, + 873645155, + 797314644, + 755769652, + 665950869, + 500157456, + 811237286, + 765356810, + 738270361, + 329389284, + 602469432, + 646550924, + 546034652, + 148706720, + 825559690, + 811746500, + 655972356, + 948826525, + 800664670, + 202290568, + 527892887, + 128650998, + 740983728, + 470387561, + 927206458, + 839816862, + 64769991, + 59662812, + 583375164, + 118391793, + 137094089, + 751221012, + 94355399, + 784013981, + 733816674, + 278291099, + 396611264, + 233882905, + 319508050, + 462150424, + 70613295, + 735004024, + 591228366, + 404070486, + 148562952, + 931487529, + 680593895, + 162662371, + 177338255, + 974634915, + 915978223, + 188665460, + 706389032, + 395481659, + 657001109, + 269975361, + 183276976, + 877926391, + 899125169, + 425664136, + 502233650, + 536931313, + 790414953, + 346230723, + 274060232, + 899628521, + 352615783, + 839924848, + 700482312, + 247887825, + 549952663, + 755600974, + 81188258, + 481038542, + 632028794, + 198942311, + 635807794, + 259770733, + 962495078, + 88614682, + 318880759, + 623447584, + 171772843, + 852777898, + 939937078, + 321970458, + 867351624, + 167482500, + 759083847, + 193253172, + 318366299, + 604053306, + 521879926, + 352523891, + 597478576, + 220248421, + 660291843, + 888274232, + 755733440, + 992848583, + 773545491, + 847413005, + 279202736, + 803255349, + 204243250, + 660944089, + 952543146, + 824647228, + 203222185, + 313362920, + 921152630, + 221019294, + 549745221, + 955888947, + 574922025, + 678689488, + 74457185, + 519751581, + 601783982, + 956226137, + 615948638, + 488401425, + 287844093, + 616759291, + 563656246, + 515512172, + 627825504, + 83038576, + 277959017, + 706840469, + 155174544, + 818153946, + 327080906, + 625379013, + 556875469, + 373842649, + 164447665, + 504406332, + 789528619, + 942725113, + 252321503, + 824767563, + 144652678, + 645699473, + 666347855, + 863384190, + 228124495, + 330723015, + 727798509, + 679790075, + 567772550, + 805858102, + 343170601, + 64421191, + 542689502, + 26063965, + 576754242, + 816906564, + 594313988, + 456792518, + 444275520, + 278824495, + 65325183, + 923585796, + 861530044, + 72613209, + 544448645, + 234832191, + 824846013, + 967029159, + 500497417, + 942105312, + 949255552, + 908968639, + 806901981, + 904108895, + 819290174, + 689264075, + 891390605, + 433290835, + 443119529, + 295111558, + 438264238, + 72830132, + 766105406, + 263631974, + 377354203, + 991714390, + 451013641, + 158491845, + 206034535, + 111587260, + 883972774, + 458289308, + 308609697, + 823738431, + 869727012, + 272340488, + 198357554, + 5980570, + 850344160, + 795086207, + 258707600, + 301455313, + 973557234, + 861692037, + 894405674, + 954049658, + 929429474, + 38731687, + 336023314, + 141534674, + 853155698, + 925153299, + 275276108, + 966307032, + 181301902, + 341553668, + 316427922, + 670182931, + 787849699, + 627877032, + 19844131, + 733839435, + 608112335, + 240206095, + 989855028, + 74494524, + 341822488, + 831759251, + 955146985, + 261047742, + 612071964, + 637861469, + 706390395, + 206559492, + 284032844, + 579310975, + 631717079, + 193616295, + 112002695, + 387329814, + 470724520, + 861854410, + 519753971, + 774123835, + 837847338, + 268474108, + 975529413, + 175914920, + 803896265, + 913372284, + 807771863, + 834146326, + 687514968, + 334010017, + 865837585, + 223936057, + 147346909, + 564168230, + 923442320, + 9943682, + 744274627, + 384801239, + 661363456, + 595708954, + 852934907, + 727444648, + 168786588, + 225174111, + 626189596, + 376631067, + 370510654, + 344047432, + 765237059, + 927988587, + 168653747, + 166042090, + 999955779, + 816732904, + 179522029, + 534731375, + 582014919, + 768120898, + 176604090, + 939840222, + 109497437, + 616278183, + 281101494, + 948277687, + 640498307, + 296208367, + 692701198, + 200271976, + 500626088, + 850649320, + 436829465, + 195955426, + 937516498, + 403746228, + 892260446, + 377214393, + 447765755, + 352609601, + 689894489, + 80799801, + 115599757, + 820880670, + 803168542, + 685734800, + 98373084, + 762368233, + 790760758, + 331077229, + 270161154, + 655648867, + 800320488, + 743537426, + 824761905, + 300330606, + 280451122, + 485618624, + 176527537, + 425700643, + 691815298, + 410106909, + 485608768, + 168975336, + 128872253, + 609490585, + 636916040, + 215061353, + 859691966, + 198920880, + 805028777, + 528989160, + 545134228, + 966808437, + 148732638, + 267187306, + 261608455, + 409826799, + 657083106, + 623077627, + 584610383, + 121294691, + 369795233, + 247769240, + 400501626, + 712620035, + 426158934, + 891942319, + 127893442, + 226580031, + 388064981, + 77852364, + 385879766, + 422143795, + 480494196, + 549685723, + 907058722, + 819268580, + 619362730, + 6265090, + 630548550, + 387353449, + 336720689, + 450272236, + 930047818, + 989489644, + 396097936, + 787518221, + 809607405, + 205246867, + 297439418, + 34855232, + 462790083, + 846346767, + 797531515, + 102172165, + 167027672, + 317352864, + 216677442, + 474071437, + 487789477, + 919127557, + 278896005, + 574688391, + 724758992, + 472663080, + 185339381, + 747675897, + 31016656, + 238673033, + 165072932, + 363781528, + 969439782, + 585508890, + 63899064, + 407238401, + 508623956, + 294012921, + 917687781, + 97119880, + 631027699, + 41037659, + 345870048, + 612118646, + 874852988, + 461828236, + 421399639, + 922893975, + 340493676, + 353700962, + 655757317, + 284648573, + 755410743, + 23554422, + 496388759, + 261028957, + 507871006, + 703558642, + 42157316, + 286799796, + 268017876, + 287771316, + 358995862, + 666834507, + 182096684, + 866412521, + 647188766, + 306199698, + 142399827, + 4331307, + 329903024, + 531740795, + 304752599, + 827366243, + 226317808, + 746724366, + 61267950, + 617891259, + 444892293, + 510493353, + 537564157, + 343226957, + 538597449, + 411870742, + 192408718, + 490499625, + 928377676, + 301172480, + 479615720, + 792812421, + 633667699, + 578819504, + 41014939, + 614064893, + 181609451, + 724395413, + 599437690, + 761210559, + 173732850, + 588553288, + 839249326, + 65353966, + 162407706, + 131286979, + 63067452, + 785836239, + 443634840, + 878832597, + 390060538, + 355129495, + 503312963, + 633415103, + 963742264, + 443998020, + 429455726, + 118253432, + 651983639, + 355644421, + 427154469, + 216028858, + 466128453, + 218784672, + 784802199, + 357077901, + 210277323, + 553315907, + 729978338, + 290963278, + 330632808, + 861759787, + 45699845, + 495847831, + 476577215, + 598053906, + 808284766, + 689931348, + 755022328, + 993426180, + 848078116, + 429237173, + 439706732, + 546115968, + 652128178, + 559416166, + 103897264, + 230271721, + 501872028, + 900933772, + 800474520, + 549486618, + 342584511, + 131978478, + 361818954, + 180724904, + 691572023, + 46184790, + 451318317, + 532821322, + 823348611, + 217456746, + 556678744, + 6601410, + 519951935, + 507993404, + 127272797, + 747933800, + 293178497, + 937200251, + 377073342, + 513733663, + 319283007, + 670106853, + 333773730, + 391305477, + 313144176, + 544137022, + 856360836, + 707692031, + 833773046, + 223098769, + 732190113, + 951309898, + 956599568, + 521832202, + 515368749, + 937307062, + 742869120, + 502674023, + 760824069, + 188577030, + 589908974, + 622718865, + 417790531, + 861332779, + 139559455, + 107192017, + 950032028, + 864926228, + 816540343, + 166587497, + 210331363, + 383101752, + 527110539, + 314220067, + 953580500, + 911848053, + 693907025, + 25562592, + 976989531, + 79534411, + 887767191, + 680574803, + 851112371, + 730730534, + 118684517, + 622991585, + 221769758, + 547527701, + 329911045, + 981831803, + 5538209, + 13663115, + 411988101, + 936435120, + 741392318, + 391962758, + 713027991, + 438449633, + 297652748, + 922245819, + 587518830, + 849459173, + 344007537, + 448446359, + 29278692, + 251782971, + 543824420, + 353161495, + 320673717, + 768591391, + 218326353, + 880756716, + 676401718, + 109041298, + 723338833, + 345030330, + 788842226, + 801454985, + 381590682, + 943112048, + 27279444, + 518109849, + 602039331, + 361432466, + 970791522, + 953155458, + 36846487, + 959851201, + 642948170, + 2909983, + 562334585, + 892134336, + 722714052, + 358259701, + 67927883, + 108662402, + 111900159, + 625946148, + 666181530, + 557559361, + 632734050, + 164778599, + 393302799, + 439432220, + 277087254, + 33693778, + 605446798, + 40810694, + 596235935, + 522957335, + 626111326, + 454057887, + 226598971, + 2350661, + 894429053, + 835529591, + 366821004, + 291979648, + 389040830, + 371848423, + 69074410, + 767676588, + 270824796, + 545978971, + 699514981, + 539948422, + 408070370, + 916267922, + 45284456, + 294145699, + 856815675, + 133576392, + 220037642, + 862755293, + 409310550, + 571161382, + 470452350, + 55617965, + 225959181, + 624494833, + 43050189, + 49727488, + 252447920, + 86693838, + 411472843, + 197388483, + 448712265, + 615234073, + 357872691, + 270461655, + 30685815, + 582026156, + 701927024, + 115876868, + 449443934, + 424330966, + 665315647, + 115476481, + 507781331, + 252811528, + 734497587, + 447926018, + 355432116, + 74832786, + 861780645, + 167092810, + 163874424, + 64250696, + 604524831, + 919801763, + 596294147, + 336393222, + 637997303, + 311915669, + 876869359, + 913169000, + 965290818, + 523285388, + 869502737, + 696077004, + 845222977, + 692861982, + 631612467, + 185392771, + 225926647, + 771536900, + 662691677, + 616886933, + 257726329, + 441665180, + 564341955, + 389415525, + 312874630, + 960730219, + 100142257, + 323947796, + 503286694, + 768243519, + 784656415, + 415319855, + 900008342, + 502134224, + 591137581, + 727184987, + 883269818, + 910684506, + 290349, + 713139992, + 400166559, + 14943106, + 980851625, + 473935995, + 331356737, + 636162195, + 301309400, + 723850348, + 79770584, + 960999674, + 869645760, + 596535433, + 902916765, + 836037743, + 207624546, + 57216585, + 250938562, + 147827947, + 897208047, + 243846151, + 503223188, + 308687799, + 692052707, + 576652924, + 50301161, + 640742897, + 608036367, + 421627936, + 199548436, + 241653655, + 140312064, + 542983552, + 636140615, + 53073266, + 767687163, + 758300088, + 781723149, + 897132514, + 282893794, + 183108476, + 46146864, + 819062558, + 722299850, + 624783502, + 998621855, + 675430811, + 905232417, + 669088660, + 26647762, + 819999010, + 518998114, + 787052864, + 260489816, + 615734996, + 447556314, + 606404010, + 441827192, + 566142061, + 902439605, + 559712808, + 334267420, + 907299566, + 989779488, + 392524417, + 232414038, + 802501249, + 773595667, + 147108560, + 909342842, + 38622639, + 708529344, + 687134270, + 974753841, + 80036131, + 754985250, + 453857409, + 898892063, + 186390286, + 298683259, + 990914105, + 134794183, + 132421344, + 517863645, + 353169773, + 409384478, + 48924891, + 827202374, + 735589832, + 538699777, + 974181106, + 703332228, + 203925401, + 3616343, + 438917393, + 773435352, + 181709616, + 309247837, + 411874775, + 814949780, + 711651783, + 707267247, + 430541584, + 78127369, + 286382703, + 913921881, + 577753318, + 957489071, + 266591689, + 774211945, + 620675562, + 759024419, + 617833084, + 671206086, + 644645004, + 944430403, + 725955797, + 90728847, + 707947337, + 637537593, + 971779046, + 323185913, + 163672038, + 166949747, + 325291979, + 815699505, + 613909450, + 391887420, + 967706485, + 205315618, + 842439915, + 372424915, + 640170990, + 484483134, + 661474620, + 973091841, + 419477396, + 890790693, + 869816348, + 560088953, + 887870953, + 256861255, + 953211578, + 902311946, + 69844649, + 165119771, + 264544399, + 196528576, + 587594559, + 547110099, + 447914958, + 719110921, + 19248018, + 20739006, + 279661242, + 969806130, + 114524929, + 204312681, + 309726464, + 962845388, + 254459077, + 147270979, + 316596250, + 245159229, + 849173217, + 954548279, + 780718423, + 90161730, + 825866614, + 314751623, + 460826138, + 770973601, + 467522816, + 608287664, + 83803494, + 698768095, + 324889221, + 119085542, + 264783144, + 360207973, + 101595966, + 936390987, + 259876402, + 136082877, + 478769679, + 780421304, + 192550227, + 250079086, + 149352928, + 579002026, + 826592282, + 273540000, + 568565807, + 148765353, + 401627187, + 973698818, + 153074871, + 869487896, + 656876388, + 912058004, + 919956800, + 17779196, + 126726454, + 425727099, + 486077355, + 38870646, + 400189452, + 65545830, + 789053926, + 434439236, + 387236877, + 336174139, + 792715405, + 612571301, + 236729338, + 620210765, + 823214713, + 7099211, + 799484648, + 103241315, + 741137153, + 739853928, + 529855880, + 288388037, + 391351088, + 658288479, + 880620104, + 728932612, + 486128410, + 213305292, + 4973837, + 301791196, + 182172152, + 262343602, + 540694905, + 978521140, + 519959754, + 813581089, + 30254433, + 456836238, + 246058163, + 675681258, + 518825878, + 424267907, + 873641291, + 621033570, + 383739329, + 738631385, + 764858645, + 640435262, + 154810419, + 405527788, + 326339155, + 264347150, + 486848873, + 866251907, + 574276174, + 585005647, + 110591758, + 534668943, + 504826876, + 206763053, + 869015254, + 107731164, + 355133364, + 463937636, + 334397614, + 692043197, + 697339177, + 851859048, + 163579594, + 904110630, + 437516135, + 590537564, + 483403079, + 609956414, + 715021826, + 324884750, + 175001095, + 574245771, + 630922260, + 450593863, + 693025235, + 590292697, + 857799943, + 781947635, + 813842127, + 559497929, + 171594185, + 623907981, + 970205770, + 387995249, + 617193214, + 75185021, + 224981013, + 985498400, + 463284642, + 467809052, + 538106604, + 571705750, + 938780633, + 237830295, + 440753667, + 990569200, + 401560486, + 824063723, + 986831163, + 337908087, + 756542417, + 854522967, + 648796478, + 107627793, + 362791790, + 352067481, + 855937259, + 61621390, + 660410179, + 393873920, + 408531163, + 726584752, + 711755598, + 150777980, + 901420688, + 21116262, + 118212195, + 463904518, + 40437102, + 384572615, + 664512612, + 849261872, + 592391793, + 482364952, + 41700473, + 647184508, + 219989873, + 611585002, + 398110368, + 53279761, + 213265591, + 10317258, + 381235227, + 932039007, + 769964944, + 508894874, + 343211210, + 452628742, + 138344387, + 633311729, + 275336912, + 740362259, + 321096281, + 749159996, + 140114257, + 491224283, + 215902315, + 76049174, + 319217479, + 130684632, + 520420563, + 301270425, + 403321156, + 913180086, + 842814575, + 918551424, + 753211578, + 872583184, + 956426045, + 633102793, + 523498681, + 574621209, + 293736132, + 810273865, + 348685773, + 905022277, + 608916156, + 353863100, + 669530489, + 298695950, + 433567607, + 585700336, + 977363720, + 275697596, + 302580940, + 393568637, + 404602357, + 121744670, + 59485354, + 515739528, + 125703227, + 233545639, + 323122209, + 217145903, + 352229062, + 624193993, + 404949986, + 995321855, + 326306076, + 903463160, + 364811621, + 272108687, + 876578819, + 710361788, + 401094147, + 859295229, + 668943022, + 570354661, + 708206467, + 491126306, + 996534976, + 941563829, + 342990348, + 434771971, + 569552395, + 210402422, + 45653349, + 864047037, + 464182197, + 896320329, + 244759072, + 976777723, + 805562433, + 894266645, + 394631602, + 831013215, + 224177115, + 898499321, + 268147284, + 957293777, + 915350631, + 779183343, + 451890408, + 9758605, + 393874805, + 548426854, + 964395151, + 968071877, + 408206793, + 79276067, + 833028716, + 927729703, + 65720099, + 743524296, + 257885678, + 274623891, + 544110869, + 275249614, + 33656122, + 248964681, + 138466353, + 165927826, + 328581873, + 549447073, + 847804982, + 503755847, + 415748610, + 743141538, + 588376779, + 183982509, + 957902280, + 556618925, + 36949752, + 84353667, + 841062877, + 784825945, + 541319883, + 293526935, + 714788965, + 185513796, + 7982536, + 923113901, + 216247495, + 251372930, + 170837837, + 786175298, + 568666345, + 77041016, + 212500796, + 357606480, + 663579792, + 726057389, + 320396715, + 950831938, + 808349354, + 403491028, + 351664578, + 256641476, + 590127060, + 929557351, + 11247051, + 411976991, + 850620016, + 481322710, + 63218652, + 796390821, + 647842705, + 267015707, + 421852780, + 795494390, + 564357667, + 397095304, + 811244253, + 391126054, + 877182423, + 887597263, + 243350102, + 887580952, + 514346032, + 90642624, + 269788107, + 695394248, + 107775977, + 445545300, + 464806846, + 765180981, + 908536353, + 787016452, + 788647640, + 74787604, + 412491589, + 954395863, + 285553644, + 411788255, + 355690507, + 881077702, + 307995107, + 32690489, + 52291398, + 392896178, + 214343704, + 823778385, + 988897034, + 36393620, + 837624910, + 725377091, + 4390217, + 60172313, + 529905486, + 230010432, + 839899606, + 636068666, + 736313825, + 872296181, + 406883402, + 550610649, + 881944983, + 668757112, + 238616385, + 74278611, + 195776287, + 86705198, + 731738513, + 587695930, + 587660545, + 510020318, + 137489, + 888213512, + 533270927, + 364137387, + 3454114, + 968796036, + 522062385, + 800228181, + 284483886, + 457798248, + 205942063, + 67877983, + 299867943, + 416827875, + 548507603, + 896568663, + 818673249, + 652537561, + 283208810, + 869119230, + 714136913, + 471047381, + 4967476, + 190173467, + 84885478, + 150395080, + 433173990, + 358950675, + 698435743, + 608233185, + 412634047, + 230589094, + 881989784, + 442447865, + 61542345, + 868992713, + 247875912, + 821902949, + 512647326, + 193311895, + 83995171, + 104123773, + 430589457, + 382191911, + 962426642, + 621583928, + 565132040, + 474459902, + 115070797, + 213037519, + 6205883, + 554864985, + 261854859, + 748371253, + 716988859, + 199581255, + 499270608, + 84521876, + 274473139, + 391639496, + 19043509, + 775439394, + 783309274, + 486131919, + 460136711, + 114085893, + 498987138, + 798967953, + 160234466, + 766080633, + 90862888, + 13501891, + 334514017, + 904841144, + 464434514, + 753534370, + 954317802, + 665069191, + 169272617, + 986800806, + 416908883, + 247194318, + 879995431, + 645975114, + 287613381, + 845492632, + 753321568, + 559598219, + 855632286, + 416001705, + 855605631, + 186913472, + 661751198, + 404514599, + 1407592, + 978467862, + 598532716, + 45616281, + 667036447, + 2200989, + 495431100, + 401256995, + 949082885, + 401316299, + 975954469, + 127852396, + 347959638, + 461493212, + 889201134, + 112679327, + 175604522, + 998239877, + 413435523, + 364899983, + 66235337, + 962647346, + 207289448, + 157731003, + 817507121, + 498790304, + 557306558, + 228677637, + 242689947, + 446400311, + 749704080, + 64945097, + 821926716, + 17502397, + 888658716, + 916812334, + 65152930, + 777196609, + 233392492, + 580097240, + 861725668, + 990539513, + 547646217, + 891693444, + 96582405, + 578852059, + 458908957, + 23995630, + 437212151, + 918011186, + 603569957, + 526030869, + 365737375, + 176471564, + 831153806, + 665415494, + 387719751, + 864347278, + 467405573, + 207359958, + 113057239, + 811496543, + 915019756, + 339438531, + 85887912, + 566229779, + 746716897, + 244790173, + 549687511, + 861674534, + 16616363, + 789568, + 49789684, + 75218938, + 937733040, + 61102375, + 523424622, + 475890319, + 841682036, + 118502735, + 201196641, + 207137635, + 144814578, + 5347211, + 278468450, + 949218469, + 594168730, + 529691320, + 523563477, + 584062815, + 14254586, + 438078013, + 992837460, + 859117252, + 241549951, + 129478924, + 317686482, + 348749424, + 354502161, + 964016349, + 608019944, + 737089407, + 572334837, + 51987590, + 977687721, + 27185815, + 206747107, + 1402812, + 687356819, + 981729286, + 528084240, + 558617285, + 488974231, + 251435220, + 505133217, + 296386784, + 269808285, + 591850041, + 181014263, + 240337246, + 689914960, + 156975331, + 412936976, + 610948373, + 887877639, + 852489100, + 414871339, + 122041337, + 938377308, + 836756739, + 21182323, + 383303170, + 271922969, + 821085082, + 324919894, + 425354512, + 348015025, + 706884820, + 149216302, + 586492217, + 899048361, + 103685904, + 924077873, + 94481609, + 930472301, + 465483850, + 831447796, + 370080760, + 714482151, + 989515904, + 219528355, + 279445483, + 343790239, + 902778508, + 110709840, + 127388469, + 459646444, + 59020953, + 443897864, + 802138568, + 325137720, + 338158588, + 456948796, + 972948486, + 233841748, + 629348713, + 77121266, + 164898752, + 483345009, + 135403928, + 936644587, + 496809829, + 369190521, + 654093763, + 973146570, + 197705156, + 248509819, + 940691342, + 742580208, + 554751523, + 422005170, + 537177179, + 441487401, + 265217723, + 545318147, + 187428857, + 999850045, + 872074170, + 653157703, + 28633288, + 725964226, + 266039411, + 307259816, + 884115866, + 776899411, + 937270174, + 716868080, + 924972206, + 288328585, + 684180023, + 773680316, + 325693392, + 102907195, + 488323751, + 724220670, + 6854166, + 564112584, + 848033383, + 541286855, + 646034336, + 842756613, + 243552069, + 895862625, + 950565000, + 802793089, + 753597253, + 102652813, + 918586512, + 219710224, + 564641455, + 42657736, + 852286022, + 845972604, + 740130979, + 782057374, + 903187754, + 150239883, + 883886507, + 469897670, + 552535770, + 85728438, + 862952352, + 287756184, + 53954411, + 371430805, + 492358739, + 505548511, + 341190078, + 390876482, + 997426043, + 123185684, + 436242290, + 607558916, + 439765131, + 91858451, + 2995454, + 666392632, + 305519863, + 794908904, + 33402300, + 714476232, + 545158863, + 1738261, + 130968744, + 516152232, + 806803288, + 916905403, + 296052934, + 235488585, + 802538597, + 677928113, + 88979558, + 405474486, + 538760012, + 724967316, + 785694399, + 419827745, + 220472946, + 626837519, + 324548937, + 783632880, + 703332703, + 854319660, + 238887208, + 347053444, + 343972018, + 750148458, + 358338195, + 809710154, + 917564917, + 227562776, + 238372453, + 474828255, + 592507337, + 965579549, + 483489110, + 233126992, + 521948128, + 255979263, + 709102774, + 14923803, + 347535138, + 144564241, + 12700866, + 878620444, + 796156284, + 73343497, + 120035009, + 270291050, + 851895732, + 261592438, + 840507566, + 591626514, + 516362791, + 601582128, + 784604055, + 650769728, + 466700064, + 3206192, + 882638430, + 61400900, + 882782980, + 368449941, + 448030697, + 534751512, + 726634743, + 420443734, + 542871550, + 128447283, + 148657896, + 239418545, + 764702712, + 358439496, + 561997385, + 235948621, + 284921568, + 761975518, + 111671353, + 944129733, + 579823248, + 796774066, + 876946534, + 39163759, + 6250493, + 181816583, + 651979184, + 605546910, + 492157655, + 394585242, + 454087453, + 844062393, + 875429913, + 908926514, + 676443194, + 145465745, + 336286680, + 46722407, + 944908524, + 801167925, + 416818222, + 596992856, + 506472270, + 813364335, + 479839916, + 147552067, + 413281082, + 153982979, + 329715720, + 915075808, + 103696273, + 358917310, + 313723776, + 798610137, + 651887484, + 996921134, + 418876678, + 298824886, + 273059694, + 878911260, + 439707357, + 484085124, + 615488356, + 172953638, + 192387826, + 508753609, + 457373516, + 544236641, + 58394006, + 653034589, + 496037521, + 8765614, + 498280364, + 371352490, + 496993246, + 920759060, + 215489825, + 715293516, + 561516902, + 72810625, + 513092165, + 13664585, + 498915562, + 389587999, + 653515871, + 17832382, + 361919656, + 385344638, + 236186840, + 499664264, + 386299478, + 506087872, + 742805026, + 587752947, + 889836312, + 302398685, + 436466927, + 772619648, + 321445518, + 561165658, + 651833340, + 365288029, + 302946534, + 308547153, + 131981423, + 562812208, + 185688147, + 142002113, + 488699280, + 612254638, + 99775179, + 392174457, + 328155082, + 969334917, + 350447723, + 429246573, + 860601968, + 36982736, + 566404176, + 871979766, + 192328493, + 818662091, + 229550609, + 731469154, + 446591661, + 35826953, + 234511793, + 283607939, + 783589561, + 798819865, + 105428820, + 947463126, + 852161032, + 268766818, + 84436809, + 963719442, + 930284269, + 775341323, + 508911542, + 135859449, + 568046905, + 270760382, + 308802116, + 446012992, + 161305476, + 693028268, + 991800795, + 238213067, + 575428147, + 181651068, + 385989071, + 628274439, + 482435321, + 758503498, + 915114286, + 574786671, + 295340716, + 530182867, + 429183097, + 23249881, + 842230499, + 863075492, + 402482306, + 589531819, + 354943525, + 752996688, + 477468879, + 737499015, + 19132676, + 924595401, + 239600311, + 729137519, + 415246006, + 105692861, + 895304704, + 390456105, + 982205707, + 802147640, + 977202929, + 230093559, + 481770100, + 312167844, + 798675461, + 973934928, + 13372156, + 790080775, + 140531577, + 89959616, + 360444353, + 793674014, + 624363544, + 594802945, + 345527009, + 197676891, + 432551555, + 265557370, + 856134484, + 879598632, + 800259730, + 202255344, + 872728147, + 722747520, + 550401444, + 251004007, + 672380761, + 428703487, + 72015405, + 580819730, + 55887145, + 287385111, + 180174293, + 397984729, + 957807302, + 86513676, + 83035174, + 549103604, + 123390579, + 677144616, + 655260887, + 51110882, + 871299219, + 207238119, + 500718614, + 599074176, + 996861793, + 4470381, + 599814082, + 86030253, + 752868554, + 349412695, + 473742470, + 192394246, + 312165875, + 261567131, + 717792468, + 335182342, + 822367078, + 35344063, + 886777503, + 623762971, + 151180567, + 26236730, + 15747982, + 296715016, + 701526980, + 580230466, + 509873608, + 932789420, + 547797583, + 899462369, + 326722604, + 791320218, + 609529852, + 230348868, + 660871762, + 856425929, + 595249900, + 380816693, + 427069752, + 421037651, + 966149171, + 471555608, + 753880636, + 707659140, + 394001376, + 13693522, + 72368928, + 151598263, + 94060959, + 95100354, + 843840989, + 978449429, + 253158863, + 399217209, + 997703082, + 65226948, + 891291149, + 668281830, + 949688716, + 130877163, + 127437730, + 123788318, + 129824492, + 290935819, + 111402318, + 403309091, + 34852076, + 605476007, + 681403732, + 955545392, + 952694297, + 928556028, + 234381232, + 289898382, + 83924720, + 723714069, + 49510464, + 856959739, + 370278484, + 694977034, + 435367138, + 853558003, + 367823559, + 17526084, + 562648254, + 550973104, + 115634214, + 738739077, + 365606478, + 470886521, + 297020905, + 251718369, + 413900543, + 227451617, + 926833798, + 272398984, + 353845228, + 706365770, + 871662830, + 431565673, + 688830134, + 977252593, + 237959416, + 73354011, + 50334389, + 319057172, + 715236965, + 220372087, + 478113710, + 442794129, + 424577405, + 481468160, + 268439925, + 923946624, + 354513394, + 996624995, + 664054468, + 360350668, + 461446801, + 484899240, + 958696402, + 694003034, + 131604498, + 962562188, + 502680090, + 335599483, + 630047325, + 72351733, + 369651237, + 347036344, + 610645579, + 829426239, + 673760805, + 152208897, + 407333745, + 491311027, + 343533975, + 144289114, + 417842162, + 152272517, + 611869621, + 948002471, + 392838167, + 730526237, + 742069112, + 749611246, + 40150416, + 824427597, + 809679242, + 801226223, + 952549814, + 579930082, + 441241265, + 14713811, + 465415915, + 314202932, + 461876787, + 593271140, + 792167122, + 118620943, + 528260524, + 690103686, + 895394744, + 918671096, + 191743252, + 311406260, + 777866513, + 411552965, + 762824567, + 642802233, + 14926476, + 350302725, + 271457787, + 180518870, + 133628178, + 560632364, + 39296920, + 730315992, + 260892665, + 835596828, + 65341812, + 240978142, + 396132219, + 35164359, + 362713153, + 625722546, + 975848981, + 207149025, + 184717855, + 323383146, + 274678764, + 189772021, + 125237107, + 320653743, + 658594867, + 186628759, + 972928677, + 356307020, + 805810621, + 316931608, + 419872376, + 129891311, + 394274377, + 616957763, + 478059665, + 330065208, + 408303130, + 714125030, + 806316154, + 626747223, + 951095425, + 229241464, + 7841232, + 439194351, + 18923465, + 978177013, + 353128868, + 909699478, + 914563670, + 4316031, + 390352157, + 307905103, + 393901719, + 281481132, + 155346317, + 580588779, + 560236865, + 807584629, + 181900585, + 639864445, + 197235099, + 223767946, + 57368020, + 440000021, + 149816321, + 80536718, + 244590875, + 310640058, + 928099002, + 628466812, + 394949990, + 836685635, + 775137772, + 589228134, + 895811855, + 256848707, + 128432311, + 737834129, + 148056955, + 127089730, + 886188730, + 978592039, + 699079633, + 732060854, + 859632111, + 690854509, + 634833237, + 349561343, + 918482331, + 571029125, + 909669772, + 889035019, + 93243298, + 350450458, + 915964769, + 38936256, + 878376026, + 999231487, + 410313434, + 11320940, + 53370832, + 56632939, + 432506338, + 306371768, + 103021269, + 872019733, + 213464587, + 580225737, + 372849497, + 435154401, + 682912147, + 58741213, + 658761280, + 549618663, + 246704949, + 174903624, + 606991178, + 334272506, + 496318587, + 160005160, + 653967160, + 964399295, + 58734367, + 780208173, + 870345051, + 924525908, + 76032538, + 287923164, + 598716744, + 807792182, + 783770957, + 474386022, + 376375662, + 712149075, + 555673005, + 197086001, + 9257612, + 746548876, + 466061650, + 984689684, + 386328261, + 661372919, + 849308779, + 823708888, + 214396088, + 861288331, + 59454412, + 177550779, + 416644489, + 350800181, + 345538481, + 848981551, + 47617316, + 210151396, + 251326838, + 669451093, + 652680935, + 402080657, + 823265004, + 290578083, + 557075321, + 968170715, + 220203396, + 701440436, + 959938163, + 109173215, + 984485392, + 491292363, + 709587870, + 948596337, + 442179472, + 744475421, + 848057036, + 251752679, + 468415546, + 308705982, + 481927806, + 229050347, + 305060587, + 970799975, + 257462142, + 321599599, + 270308377, + 728589357, + 323031794, + 108956464, + 486553287, + 904692256, + 427641591, + 877200904, + 17030754, + 815388989, + 631306036, + 339923243, + 715758807, + 103909596, + 804508005, + 465742225, + 232824645, + 822487008, + 198299021, + 645060099, + 598846314, + 766338304, + 393462383, + 765218086, + 58214914, + 834418510, + 770056726, + 657852089, + 754147135, + 522365723, + 329541301, + 115508831, + 792268000, + 477985541, + 923212105, + 96169518, + 639805769, + 618513587, + 873103243, + 852188161, + 758339464, + 406398588, + 299149743, + 514988487, + 559690438, + 554798683, + 288654312, + 220925176, + 752488823, + 6797141, + 413427116, + 722813403, + 384035824, + 174133225, + 130837050, + 131243251, + 618229270, + 720376268, + 669511871, + 440987050, + 965127620, + 733042604, + 454072593, + 837593746, + 432548811, + 448945224, + 753159176, + 354788391, + 209236304, + 65208358, + 371913917, + 920448927, + 284572421, + 557828778, + 928162512, + 319698263, + 990393729, + 913289996, + 480209150, + 371206958, + 258463933, + 410022682, + 398574631, + 637451399, + 535364076, + 913574655, + 112700844, + 184500025, + 640517832, + 736984120, + 204454983, + 415762976, + 874256717, + 961376677, + 971114066, + 764094920, + 681150508, + 205315253, + 519477921, + 882059124, + 230618441, + 189877358, + 425103165, + 925781591, + 48052242, + 96829909, + 709478267, + 566493813, + 250213558, + 203703987, + 936786388, + 681218288, + 787481099, + 148310924, + 908389500, + 445230470, + 371969945, + 489634730, + 448310993, + 749134765, + 308001912, + 759667087, + 895172983, + 310969893, + 445873521, + 370029131, + 354347434, + 890224291, + 628443461, + 736962658, + 487414723, + 648266427, + 28177872, + 841438696, + 207331251, + 98194814, + 917982939, + 997862521, + 411420661, + 900989669, + 418638805, + 245941305, + 819231460, + 813740656, + 358073167, + 77029968, + 282216957, + 935401941, + 916397735, + 176354899, + 909926626, + 355608756, + 782788047, + 495675778, + 321666835, + 579912971, + 256767860, + 133261953, + 709887907, + 547423888, + 350843595, + 834304878, + 349046332, + 653782718, + 869828044, + 558950595, + 980321859, + 470576802, + 290951952, + 608386568, + 889981480, + 789277655, + 738736082, + 395716853, + 773241871, + 899822156, + 585199258, + 422963608, + 706498825, + 375555601, + 525427966, + 455597113, + 615186795, + 811510546, + 426612564, + 329768322, + 902921027, + 383107976, + 604292490, + 783247674, + 380339988, + 692499613, + 805314727, + 225186400, + 744792043, + 124601648, + 206228184, + 135746595, + 439716260, + 86495551, + 21251852, + 426056990, + 611651521, + 250268848, + 332385476, + 965242058, + 360165259, + 42253276, + 635487881, + 234454761, + 422214432, + 90205016, + 366151004, + 541738891, + 196231259, + 585283363, + 911591678, + 205169733, + 674277560, + 525132376, + 405728700, + 944060220, + 26526590, + 857729998, + 149610957, + 343349107, + 731049433, + 7087776, + 770746459, + 105515454, + 245806807, + 684488046, + 878491665, + 620498190, + 710386293, + 222700920, + 808762203, + 66460084, + 405411683, + 340745716, + 726475025, + 709973590, + 233332302, + 414683822, + 439559678, + 529243707, + 579774928, + 726588317, + 284306947, + 760338208, + 800160152, + 236763630, + 574842526, + 140730692, + 946544956, + 308834239, + 934461975, + 230612962, + 612369899, + 901986267, + 449567412, + 107427404, + 250370835, + 950771238, + 721718555, + 780632593, + 761799236, + 85658279, + 582634479, + 975465030, + 427761386, + 412346266, + 731521727, + 616967815, + 784858571, + 479267549, + 766481260, + 926064819, + 202727977, + 189970041, + 31016101, + 838366078, + 463696003, + 953429886, + 234240933, + 749126611, + 542106985, + 454243698, + 529366165, + 761609320, + 983432197, + 122664443, + 618592347, + 306573134, + 384831165, + 530469464, + 121905370, + 355680240, + 735260220, + 989623306, + 464761013, + 421318642, + 865577605, + 88122116, + 965400038, + 357427249, + 984530836, + 363226367, + 338915674, + 452987525, + 881575817, + 323437649, + 150730951, + 129108527, + 35269248, + 362921746, + 471631265, + 885155746, + 345807340, + 806575929, + 514978014, + 512047713, + 431368353, + 401276955, + 313120225, + 777649016, + 330715707, + 977871443, + 143453650, + 928066187, + 415172575, + 970067257, + 294007875, + 903324224, + 323413401, + 353462397, + 991700702, + 591656235, + 245425474, + 248759108, + 998498750, + 697069118, + 825106766, + 309979423, + 820991342, + 429192285, + 786443346, + 462274242, + 38454974, + 253604528, + 561120662, + 930273484, + 928386481, + 583234678, + 896738694, + 255650022, + 331599913, + 878861316, + 301785908, + 505180809, + 251777997, + 404445305, + 51037689, + 756178223, + 703371134, + 879501069, + 166379400, + 686801158, + 993880344, + 684601431, + 387094916, + 817865212, + 164044196, + 991678292, + 295758941, + 522982881, + 81797848, + 524197407, + 713514828, + 520508682, + 460553017, + 57041071, + 381948281, + 955458047, + 428738441, + 237178300, + 509338480, + 653989244, + 543720852, + 656739866, + 795939850, + 900507419, + 99316162, + 918787952, + 319360585, + 49012999, + 214596824, + 150391710, + 316821361, + 826547284, + 512381161, + 479682773, + 614638262, + 457047073, + 345489520, + 643813367, + 944511068, + 719926076, + 542615571, + 775887944, + 253783217, + 215156260, + 284325447, + 51511585, + 99799989, + 832772807, + 935692162, + 830470332, + 738668042, + 402795664, + 651309300, + 776841170, + 518856227, + 22126863, + 378970564, + 364305424, + 53385579, + 896449527, + 519407418, + 456215076, + 649651835, + 514541624, + 307361757, + 629341053, + 850809930, + 692902463, + 2001195, + 306825533, + 812751196, + 290021495, + 630964311, + 399705940, + 596050185, + 369084255, + 856931739, + 906359687, + 829155986, + 106524845, + 361492389, + 3383379, + 724438740, + 407014988, + 687536137, + 682297906, + 561352060, + 153894438, + 851682648, + 387567942, + 756484134, + 847143216, + 569059766, + 294606026, + 684048631, + 682267761, + 666084351, + 241845944, + 891269487, + 393067661, + 117578050, + 374888112, + 277405563, + 451144853, + 683866363, + 718232327, + 745203321, + 35906727, + 156478976, + 444798819, + 117421397, + 345294670, + 321750844, + 538849664, + 509896039, + 320761602, + 234632354, + 472900151, + 733214671, + 299054562, + 547775552, + 856359635, + 121476836, + 725732720, + 584441379, + 780927626, + 67481124, + 985196345, + 265047391, + 518630642, + 979773767, + 213719422, + 691797765, + 970228622, + 324815719, + 714838553, + 210250389, + 497416856, + 508681833, + 94091294, + 374735814, + 96763218, + 243327495, + 942678385, + 355233504, + 824846934, + 832755591, + 785242851, + 142466494, + 342781242, + 578073336, + 406131169, + 378612581, + 604848342, + 549311181, + 986204173, + 96099079, + 973556306, + 42505695, + 433476902, + 590046343, + 810859406, + 880719295, + 843618990, + 12717804, + 540903764, + 343466892, + 203192777, + 21294849, + 656003514, + 941983714, + 991444583, + 569813693, + 972637428, + 316879800, + 119973258, + 671536222, + 143027649, + 239252287, + 402064146, + 290216059, + 991806245, + 208511770, + 695935450, + 626956187, + 502911217, + 610722473, + 190223478, + 405314688, + 221366452, + 463912349, + 363728624, + 506254303, + 82950872, + 517634519, + 54733063, + 268263591, + 432668799, + 853696225, + 676286384, + 254718679, + 66734910, + 342912022, + 561578941, + 637775048, + 937191155, + 358674490, + 582966484, + 519150202, + 271406198, + 277423704, + 107910907, + 302768285, + 225657638, + 624508873, + 835646061, + 255944934, + 572803947, + 323184365, + 410568122, + 77342942, + 751432351, + 175563504, + 561036796, + 350373663, + 205685198, + 603257258, + 847773926, + 134367282, + 274176335, + 356493756, + 916629653, + 171044791, + 783390422, + 153485183, + 181491566, + 872591094, + 508925455, + 641211134, + 901952768, + 811097053, + 548187933, + 831229053, + 492918224, + 914767040, + 831960779, + 774741042, + 128027072, + 314031757, + 401786953, + 127691963, + 795144498, + 251169140, + 824379196, + 984108947, + 423671280, + 385398549, + 534795706, + 896432832, + 88079610, + 238725186, + 429193393, + 262951280, + 742482249, + 698643417, + 620494298, + 394998150, + 754279792, + 505583246, + 613858743, + 762751549, + 327835066, + 628247449, + 747800478, + 925321275, + 465544873, + 440293549, + 766877458, + 939779789, + 169889299, + 816089920, + 522770384, + 755611905, + 486549492, + 104750945, + 425612160, + 132636378, + 968833063, + 315983772, + 379991396, + 90307314, + 923334526, + 851291553, + 60521503, + 720340208, + 812873243, + 50137872, + 451138124, + 342673760, + 341072862, + 703625889, + 682151350, + 591038320, + 199544023, + 233125555, + 360777258, + 410918759, + 429998140, + 444680911, + 649307690, + 943286368, + 831044234, + 464145988, + 465511359, + 206064724, + 446429209, + 634288143, + 284809174, + 728469250, + 387708762, + 506867175, + 250479395, + 649137885, + 887672446, + 930651743, + 24143094, + 443558875, + 458556379, + 154763134, + 749152889, + 255455604, + 872963974, + 650909351, + 860352674, + 193488038, + 664247929, + 178014256, + 2745995, + 475339812, + 558720949, + 385545007, + 854598747, + 153940845, + 328870865, + 498914411, + 64014139, + 583879801, + 613008563, + 199922922, + 572140709, + 514704420, + 511671953, + 771653226, + 391862896, + 579140798, + 767887893, + 740336285, + 415971195, + 206544989, + 543232753, + 724053366, + 24573738, + 956694881, + 51907071, + 731259173, + 678928800, + 728839260, + 343511859, + 716152734, + 629599773, + 863238735, + 6835245, + 446262105, + 609251642, + 108852068, + 588912848, + 83557353, + 719325864, + 837688744, + 997907132, + 680316723, + 43385441, + 960197449, + 955510917, + 530792498, + 536101520, + 373242887, + 953392463, + 369582721, + 373798720, + 268171436, + 317842274, + 215681532, + 59235511, + 972777051, + 630697276, + 991059825, + 907233592, + 614360776, + 353636620, + 121194588, + 84081463, + 589229623, + 543303789, + 747801399, + 156778673, + 296623164, + 72970537, + 291185259, + 867786056, + 189068410, + 39460839, + 622527854, + 543082985, + 159323927, + 721266135, + 404855783, + 107900699, + 10036381, + 748845503, + 40846328, + 456136142, + 348822089, + 101604344, + 730509355, + 812824428, + 889028784, + 99218540, + 133673369, + 493868922, + 768512281, + 160589616, + 387159092, + 171072497, + 212198923, + 849176450, + 365156757, + 39841924, + 599811335, + 845282738, + 233289111, + 354556714, + 534768637, + 454255041, + 864380845, + 283723349, + 806345883, + 133162642, + 724106997, + 246456919, + 967196664, + 320060361, + 469373314, + 87550624, + 493944406, + 684481325, + 32171841, + 524093852, + 542070665, + 871986979, + 791024572, + 721444420, + 341440701, + 437265387, + 855356458, + 600906880, + 190723522, + 852464241, + 724807119, + 678174431, + 675606623, + 628306422, + 56167450, + 166536923, + 743702931, + 289800474, + 910195168, + 297231047, + 79959107, + 544921549, + 874135592, + 852103790, + 979066322, + 791112437, + 999561889, + 431321821, + 653270311, + 851465256, + 205506086, + 377180940, + 558938896, + 974542309, + 278266513, + 298554988, + 102793672, + 814058624, + 587331528, + 777731654, + 634240162, + 737977587, + 581588241, + 398024699, + 921210610, + 295024623, + 572215238, + 909849250, + 93997019, + 378714285, + 439760076, + 214487204, + 588700811, + 230580786, + 855122162, + 845985568, + 741857725, + 302125292, + 89487226, + 549629540, + 719991007, + 23373061, + 318419242, + 337628558, + 782314116, + 480714015, + 621795668, + 177316212, + 534177789, + 752229391, + 475722319, + 406405444, + 208328539, + 648114708, + 240250654, + 26986415, + 300632899, + 4781630, + 325415423, + 301316502, + 387032914, + 376151128, + 685252565, + 843794386, + 816885766, + 113625259, + 187088100, + 862482823, + 153592021, + 174314036, + 768357464, + 62064970, + 864528596, + 418835392, + 998960888, + 293280200, + 344382162, + 46047683, + 373898174, + 873452910, + 711627572, + 496697062, + 437210975, + 224735785, + 354131405, + 926227805, + 994603066, + 256481701, + 469916407, + 509437727, + 176302158, + 489474594, + 845451684, + 224645957, + 479237601, + 21444862, + 686267503, + 477049565, + 11303881, + 302351494, + 389953606, + 84132445, + 836349708, + 154378763, + 984848027, + 405385905, + 385362777, + 243218242, + 525727977, + 550191535, + 542056858, + 670061399, + 639735786, + 527506943, + 692416064, + 242638447, + 590501255, + 236133560, + 146008741, + 352060767, + 40377928, + 183717754, + 359608266, + 946053736, + 392435899, + 142794454, + 778501812, + 129535775, + 365978343, + 224197879, + 957078516, + 805748034, + 806989303, + 854534765, + 479544910, + 74552741, + 356415406, + 703806073, + 930354348, + 210964345, + 422667210, + 757202292, + 580373003, + 649939575, + 777920710, + 941385047, + 118536671, + 477727472, + 429678166, + 237362495, + 478991493, + 907036303, + 335926051, + 796020543, + 602800382, + 376679026, + 496911002, + 759888542, + 212504672, + 267541020, + 940085627, + 27662303, + 449210472, + 757403359, + 154561932, + 249554554, + 131191140, + 861525562, + 648191528, + 386063391, + 634273884, + 584862416, + 608566755, + 295817579, + 806022855, + 300476221, + 30022500, + 843820066, + 21105378, + 311848987, + 973662617, + 687844454, + 947696579, + 376448317, + 166736622, + 428143552, + 685312106, + 853390875, + 425734774, + 740495011, + 953577276, + 953958992, + 977519279, + 398744923, + 381476214, + 377186498, + 256255880, + 513019256, + 134876452, + 900569672, + 186588614, + 774925128, + 909903032, + 57559153, + 209051252, + 355444310, + 890593549, + 863856178, + 975985914, + 633328452, + 288652261, + 819154953, + 775848678, + 675587940, + 899998084, + 755422394, + 12577421, + 339974365, + 784185886, + 513646289, + 9954006, + 445475757, + 168214332, + 648743940, + 705193969, + 261927669, + 518679536, + 294481640, + 54383157, + 568050755, + 84822737, + 993639777, + 809617923, + 235868377, + 79140041, + 243010849, + 296542568, + 502428638, + 51607474, + 157543442, + 802212916, + 249731307, + 674333010, + 702182005, + 104272537, + 397545624, + 322073071, + 880773395, + 675295402, + 188011312, + 369930821, + 509106860, + 432055056, + 607373067, + 36907595, + 91156509, + 561721882, + 810426643, + 283532272, + 918859676, + 318279412, + 412751112, + 325981351, + 126888468, + 76484904, + 54570144, + 64903371, + 739642303, + 957027324, + 919871140, + 658293654, + 219805443, + 375299177, + 869623595, + 586651816, + 169017832, + 85468028, + 234295650, + 633174432, + 456612714, + 290473715, + 225164537, + 207302020, + 976574623, + 497601231, + 711223219, + 729900198, + 28207938, + 188802568, + 277275526, + 772177080, + 536489772, + 261734074, + 255160713, + 311331082, + 154864773, + 642591873, + 534156848, + 642929633, + 361198616, + 548507029, + 503938584, + 322285408, + 456653808, + 206438638, + 313241138, + 530604089, + 359912600, + 395623001, + 985016769, + 260745615, + 756014306, + 956319619, + 486114486, + 226011484, + 952776968, + 721068776, + 211857863, + 89574523, + 943068655, + 568491868, + 154854201, + 254374516, + 290677111, + 943874943, + 650297832, + 407442313, + 800355608, + 316940100, + 699819551, + 898982233, + 336527861, + 136362101, + 542792021, + 888027732, + 212749315, + 567782986, + 292630376, + 657083511, + 739850591, + 84403546, + 119488151, + 255065793, + 99892073, + 156822246, + 73677094, + 545372195, + 385394796, + 649903146, + 884620112, + 638412744, + 967834387, + 659616502, + 209131242, + 25106386, + 229796720, + 775148654, + 255938828, + 843116805, + 586210749, + 58127714, + 516169527, + 726503867, + 634936155, + 435818614, + 84280534, + 333823794, + 449832003, + 493111507, + 616047196, + 293762087, + 130617118, + 492622282, + 7565482, + 234580707, + 553081409, + 977100975, + 99654939, + 665343212, + 156505653, + 549987480, + 954997912, + 489788971, + 158024217, + 917545661, + 948545969, + 830665431, + 912611868, + 143429623, + 930602878, + 3685636, + 725455542, + 115330233, + 194131999, + 687543451, + 333859549, + 464262694, + 441250279, + 1136646, + 88698245, + 69746098, + 246098266, + 364756776, + 540856779, + 96174566, + 647653714, + 191342970, + 917273118, + 130934459, + 751136977, + 659872735, + 670607742, + 19565883, + 475570147, + 27593596, + 834838171, + 359859135, + 531524179, + 869658984, + 722233028, + 596697937, + 278272865, + 979559620, + 735966250, + 34947704, + 67504636, + 835364258, + 398468681, + 58157021, + 637064931, + 668583229, + 254183325, + 710976264, + 515091051, + 249302257, + 899208421, + 813908203, + 753606324, + 877122157, + 951469994, + 215743796, + 58228767, + 762842914, + 872302707, + 165179625, + 328544019, + 885335569, + 468634353, + 263911133, + 690194999, + 325726519, + 456489180, + 850066793, + 783896509, + 31013309, + 636729936, + 77082217, + 929916854, + 126108154, + 41231044, + 210415896, + 707867854, + 761834645, + 627413121, + 458101437, + 962082784, + 811863097, + 423212166, + 156095949, + 673054830, + 584458437, + 377406435, + 277593201, + 299030061, + 598950299, + 178935371, + 922140411, + 893488690, + 320643141, + 686867573, + 464452974, + 236819277, + 31128315, + 835958427, + 845611617, + 486436686, + 111790678, + 718004673, + 254459062, + 253743542, + 515283955, + 868486655, + 58461504, + 995174007, + 351608901, + 482893203, + 296102233, + 137781910, + 32338029, + 254028278, + 980655116, + 967074372, + 846112760, + 356346778, + 660252990, + 988756762, + 421839365, + 721812384, + 814658188, + 494368916, + 50446137, + 595589211, + 332873866, + 210228294, + 764797653, + 224926680, + 282378685, + 580744647, + 860261723, + 9282143, + 879434181, + 321656407, + 841006706, + 587447810, + 739605120, + 755093506, + 388436506, + 505465991, + 703656934, + 10728785, + 635916863, + 454793874, + 652325767, + 636830852, + 719718254, + 128896683, + 78785022, + 891925518, + 852840446, + 532196474, + 108231884, + 824475804, + 857937504, + 244760542, + 93670767, + 147077631, + 760446552, + 692324472, + 379755342, + 222352151, + 430685529, + 743925772, + 86764158, + 570520386, + 160787157, + 455942121, + 396799919, + 429843355, + 342778347, + 123909598, + 723149903, + 428952088, + 159896201, + 137974448, + 763884626, + 757453290, + 2438481, + 24205579, + 700586023, + 144797368, + 356800045, + 483817101, + 913362395, + 164505989, + 900941379, + 381677951, + 103793779, + 51423071, + 939450418, + 213753788, + 15228284, + 922158526, + 159419087, + 571421929, + 212551961, + 864443501, + 827024224, + 713409601, + 341380004, + 917304118, + 409185339, + 576837402, + 428486192, + 428571264, + 379287037, + 905069045, + 685446996, + 996109385, + 292020122, + 101334429, + 791899699, + 762986805, + 809893547, + 445073724, + 114523734, + 140185899, + 27355873, + 434373907, + 235715905, + 200925552, + 780599386, + 107981954, + 250793089, + 908266233, + 493448344, + 269836035, + 725479801, + 753226967, + 185259470, + 599420151, + 697830677, + 924952670, + 903235939, + 495981854, + 78311135, + 601701090, + 726130453, + 255280740, + 803488449, + 826549743, + 801136428, + 396546473, + 404831747, + 767907385, + 175300177, + 54177736, + 305456880, + 535242656, + 410004349, + 450514991, + 247312985, + 376764733, + 950919961, + 451167392, + 246294441, + 502799991, + 802126638, + 366797574, + 720576081, + 437069361, + 979272060, + 114914896, + 406061079, + 993935186, + 473763641, + 361873740, + 206640990, + 214853992, + 796068050, + 247489878, + 190394935, + 692955095, + 640597111, + 759098643, + 280777241, + 682923641, + 587902208, + 12334950, + 27420994, + 69624293, + 352177277, + 954989669, + 95788719, + 473731556, + 124644329, + 13615098, + 8287880, + 578646125, + 657254478, + 730495541, + 55327443, + 777600694, + 998122262, + 702175866, + 873014768, + 931848261, + 162511393, + 98295121, + 601232886, + 115101145, + 301258357, + 276999495, + 611253110, + 824036967, + 837277555, + 272463205, + 529213677, + 931325597, + 305294151, + 752521114, + 685074283, + 605885821, + 273659312, + 848506670, + 405432792, + 531101086, + 636100175, + 368642467, + 662256840, + 344230717, + 879218285, + 975159826, + 319469424, + 556894877, + 605068310, + 438278190, + 820895285, + 861558766, + 321568578, + 690124046, + 405265676, + 541730263, + 176446741, + 391823514, + 791860699, + 463180887, + 906934122, + 669373428, + 987710750, + 70299882, + 352135590, + 877674363, + 198587066, + 356934023, + 97062584, + 697935040, + 455380708, + 725874594, + 301587041, + 655025579, + 170363756, + 728810931, + 282438713, + 686540060, + 734902961, + 859016434, + 848984969, + 825697539, + 789031671, + 176613556, + 586145506, + 259887404, + 252985365, + 313443669, + 489779409, + 302381617, + 828924026, + 85781984, + 190987074, + 996167556, + 522188209, + 393224476, + 155895938, + 870851806, + 552137419, + 561884602, + 486241685, + 345792672, + 723057732, + 831512132, + 205022548, + 16454387, + 404731997, + 292655534, + 391085990, + 779670218, + 94016446, + 737586401, + 247310174, + 81834609, + 365049723, + 387915321, + 353646166, + 852666552, + 689319213, + 951029063, + 760930084, + 148958843, + 301412893, + 739738532, + 789664039, + 140035664, + 662148121, + 505621762, + 865562097, + 888361534, + 670072765, + 307598968, + 732206707, + 576228899, + 787231305, + 498225983, + 583754872, + 486618012, + 975603446, + 244459595, + 540899403, + 792639454, + 280676309, + 141987025, + 467776594, + 180251629, + 768206582, + 118126291, + 887918115, + 518669482, + 781586627, + 723142551, + 698510657, + 468861451, + 109232275, + 37221369, + 489959703, + 296800020, + 435890414, + 681518672, + 954584695, + 113281501, + 277101090, + 457759507, + 625687994, + 131896152, + 942835310, + 450713478, + 338436019, + 552523589, + 513639196, + 998413756, + 809638850, + 404269581, + 504405117, + 599624059, + 369647093, + 21570657, + 945109320, + 194650036, + 396593382, + 222726005, + 418060053, + 215513707, + 343107059, + 21204308, + 235733707, + 553124419, + 616736700, + 462018288, + 641813106, + 512387696, + 246669411, + 302865765, + 223152610, + 106295212, + 119487092, + 430764110, + 412259648, + 361984064, + 375396555, + 71242730, + 125550121, + 58145652, + 475515109, + 140887458, + 774979493, + 168690606, + 440837973, + 807787082, + 721620558, + 631167718, + 169150540, + 143828252, + 591263086, + 499387337, + 995227704, + 490322491, + 26025295, + 264142419, + 67103855, + 453691272, + 174686654, + 570794586, + 689498507, + 133598800, + 918550657, + 47735251, + 238790543, + 870692177, + 670359306, + 407154767, + 684453453, + 217146683, + 287476385, + 495044032, + 471448050, + 7223013, + 317006333, + 37530063, + 804959056, + 404599138, + 251360640, + 146578301, + 781081617, + 706655216, + 817297359, + 843294231, + 209906299, + 814007061, + 755757415, + 89941950, + 59721151, + 315561143, + 758934294, + 409466167, + 660660657, + 978021895, + 901321464, + 929635608, + 438839981, + 254264201, + 497491634, + 790716556, + 552980336, + 881917005, + 237165173, + 767811125, + 365793954, + 725826928, + 804355551, + 834573482, + 148271769, + 408541240, + 34551960, + 353740286, + 402239974, + 661510509, + 633009669, + 919775223, + 437799739, + 562776889, + 206626261, + 955039298, + 816286844, + 424409939, + 479286450, + 489697212, + 945280258, + 793015382, + 943721195, + 740383091, + 674358901, + 592130739, + 160657131, + 962043680, + 887943659, + 524683841, + 886475274, + 33257275, + 490009721, + 154838886, + 77746197, + 444696361, + 485029311, + 545963479, + 878796815, + 347275506, + 479596455, + 689938739, + 953707214, + 944880896, + 666993429, + 449585211, + 460891005, + 72601608, + 633219525, + 229340387, + 447182634, + 302183131, + 165027110, + 589461617, + 396040097, + 349037943, + 261245413, + 769696224, + 301954540, + 725936261, + 108716149, + 846849054, + 397007732, + 480364744, + 35189175, + 379418446, + 831380226, + 285214700, + 869339760, + 217119711, + 251626738, + 781349222, + 226349189, + 955992516, + 765351188, + 880602888, + 311344227, + 488934278, + 884613409, + 181076585, + 620552099, + 422647001, + 662670947, + 876736117, + 320682418, + 289471147, + 905292709, + 108794144, + 112542401, + 369019507, + 362634417, + 429077491, + 573066637, + 423452858, + 324887032, + 627554738, + 502674440, + 452547380, + 755426586, + 422794575, + 251083667, + 298823852, + 791950296, + 677042167, + 143310839, + 882624153, + 566512560, + 276394136, + 202652316, + 786602983, + 320157612, + 119356137, + 945561814, + 26091245, + 219796233, + 247868133, + 744959302, + 814842606, + 62656827, + 930964748, + 648246895, + 466850249, + 955220569, + 570813789, + 309784565, + 376675125, + 106808020, + 353476724, + 374417394, + 88631301, + 81064138, + 177123124, + 545508267, + 118718517, + 654485994, + 675237145, + 66164288, + 913911677, + 61944757, + 74421542, + 604519451, + 267087275, + 972364891, + 406722391, + 286056419, + 11104619, + 923648315, + 20206942, + 854001414, + 613339781, + 870535698, + 284258446, + 365035512, + 570837376, + 986037007, + 681155033, + 497792285, + 109057244, + 244656174, + 856746709, + 448198132, + 981535584, + 648729844, + 33105424, + 855575389, + 838278815, + 992083314, + 545022780, + 140790648, + 196451814, + 842532313, + 181625778, + 602787657, + 678406100, + 597284918, + 159045103, + 619023827, + 304286473, + 606731967, + 988883497, + 501326358, + 874188302, + 426506018, + 953146638, + 197973976, + 488934664, + 889452014, + 593669770, + 456215545, + 816749260, + 782357513, + 178662900, + 452166781, + 836045353, + 314648104, + 700907774, + 481453531, + 796092525, + 599161908, + 494954101, + 986071926, + 512933740, + 323455666, + 65308238, + 938387207, + 227284118, + 848852708, + 754053877, + 652774876, + 893058592, + 782827541, + 353255788, + 509633260, + 452669006, + 740829361, + 34938026, + 591379202, + 101957406, + 102711973, + 105917028, + 454529323, + 990781017, + 546817355, + 179844021, + 558898106, + 442140477, + 175973614, + 430116020, + 185241086, + 6818434, + 901305907, + 996904133, + 347866314, + 598067930, + 420997785, + 762195634, + 310411942, + 415653382, + 29212306, + 312641324, + 521727923, + 303864059, + 442481456, + 317932037, + 556498903, + 669289723, + 221077531, + 278085653, + 156522314, + 364874138, + 108839522, + 942899499, + 546682044, + 673462477, + 933582168, + 810413905, + 565849347, + 505367645, + 846498493, + 389240450, + 231414339, + 880994386, + 788938691, + 876143799, + 134698526, + 739983631, + 95563098, + 893503287, + 959544312, + 467263941, + 872713599, + 728418482, + 511793689, + 533836153, + 682213437, + 499272915, + 196312233, + 3753537, + 3798486, + 732185706, + 82807340, + 487844748, + 47314476, + 968290563, + 845847094, + 713516936, + 538112868, + 641406946, + 74588438, + 702750124, + 879875828, + 971299442, + 886025782, + 975029374, + 344190849, + 4885099, + 500335638, + 606475193, + 635068903, + 553749411, + 584754753, + 991561865, + 136940739, + 112461045, + 773120673, + 442919196, + 756658834, + 954178863, + 342335309, + 874153781, + 398350266, + 281141911, + 186846473, + 567449078, + 459785552, + 51376417, + 860163299, + 878202191, + 670226912, + 910085553, + 418859204, + 695945723, + 846328060, + 655860837, + 686446182, + 580428906, + 465831479, + 284592704, + 707908027, + 975262090, + 991182082, + 72808778, + 584091244, + 209254587, + 564649891, + 883941526, + 669638442, + 458824130, + 855310432, + 243757999, + 364212989, + 981094036, + 249701842, + 752429670, + 840332721, + 146933633, + 29658099, + 139390809, + 35371723, + 951293186, + 553746568, + 267733516, + 949642255, + 153176934, + 171471849, + 117168761, + 607435408, + 393285553, + 129120886, + 489186096, + 464592118, + 672370752, + 313039692, + 162896893, + 238923014, + 152323229, + 658115965, + 821416207, + 676113728, + 244788938, + 52794614, + 651470095, + 980518206, + 252510674, + 350643162, + 763811687, + 531927943, + 454416798, + 151117452, + 902987953, + 590799963, + 442077733, + 160249814, + 253867721, + 527311765, + 535798886, + 812339920, + 224757523, + 36428221, + 662520122, + 648979121, + 358252502, + 285114776, + 933990874, + 452291624, + 347837423, + 496242472, + 327899043, + 72982800, + 177482180, + 160818166, + 850379658, + 510106919, + 472599344, + 61188782, + 905783378, + 916946202, + 36245111, + 563328154, + 789589322, + 809777891, + 731946831, + 382370178, + 128202124, + 193717575, + 522799482, + 611583118, + 83707396, + 729357122, + 405124020, + 215183177, + 580413973, + 418679917, + 837331614, + 873510627, + 997881836, + 358775199, + 238725650, + 888770306, + 960932551, + 837152151, + 362673290, + 786649188, + 973140959, + 58592421, + 727328072, + 228714547, + 147949105, + 656932553, + 499522285, + 979283757, + 16679427, + 897350159, + 939117139, + 210078105, + 747426248, + 425802195, + 571359916, + 947782918, + 207960865, + 979725385, + 704622643, + 402163294, + 109819574, + 924328507, + 225142771, + 477490928, + 435344015, + 924556680, + 135514569, + 900183469, + 770267984, + 690371836, + 379815502, + 803896312, + 859744226, + 880071720, + 242338870, + 339537199, + 542968898, + 358755635, + 682284404, + 389632732, + 701216806, + 411790361, + 479684223, + 714836463, + 319108229, + 318616121, + 59201325, + 698697545, + 713775925, + 911440631, + 900851702, + 994909994, + 120660464, + 495645885, + 317750234, + 856191855, + 322117928, + 212499154, + 921090541, + 288119885, + 252453927, + 90828626, + 373200522, + 496768974, + 778556257, + 187976376, + 920759121, + 143932017, + 870692987, + 423186292, + 513852559, + 605972342, + 463803510, + 930278523, + 403577940, + 160538352, + 761988598, + 34806325, + 494934469, + 97287561, + 913865289, + 525666830, + 217735145, + 405021370, + 804290824, + 214390161, + 362953443, + 742031615, + 989790937, + 80256306, + 785890068, + 127254769, + 680550144, + 936704702, + 331755468, + 824978201, + 568088207, + 625804262, + 771614419, + 386240510, + 560293677, + 394016189, + 487611956, + 895957316, + 544760666, + 244804967, + 896322319, + 56315573, + 361141307, + 286966090, + 292200229, + 317144568, + 975961900, + 21856705, + 13438971, + 581763482, + 536057155, + 908483139, + 159674950, + 371983349, + 651029438, + 249466348, + 870632791, + 239908497, + 661579841, + 535253232, + 685300665, + 281221814, + 64575962, + 231050977, + 52170623, + 500685715, + 51804691, + 1404911, + 941168479, + 493126726, + 202152416, + 151875211, + 378787584, + 249580285, + 281760871, + 900199133, + 787541311, + 476968205, + 282712963, + 178544109, + 513583522, + 482459054, + 228825644, + 56180844, + 750643387, + 467735755, + 574102746, + 5333045, + 142772703, + 139903714, + 378150074, + 604798426, + 13774957, + 793815377, + 433032845, + 859260452, + 541829594, + 254286818, + 480654242, + 899520187, + 777595747, + 737831863, + 235570668, + 79402550, + 389058645, + 469533840, + 824341802, + 962130181, + 626141511, + 543156603, + 525427626, + 941966893, + 788584693, + 977490552, + 908464159, + 101469303, + 204619689, + 445150028, + 923169729, + 987240505, + 760665958, + 595626940, + 922392152, + 359153306, + 4381277, + 294903915, + 888383012, + 568737050, + 705314315, + 212043954, + 249906736, + 943284205, + 163945594, + 159429741, + 512653994, + 447539493, + 245128752, + 991417496, + 301766226, + 66502865, + 914720780, + 165700431, + 670946428, + 26407354, + 991948170, + 206696220, + 18591922, + 517381263, + 837938103, + 995569622, + 761317079, + 64464575, + 992726774, + 106695521, + 76071157, + 359158219, + 575982976, + 356592265, + 977156958, + 81647354, + 819837220, + 877223483, + 230849427, + 543770717, + 21245359, + 834548196, + 841850681, + 499968089, + 972828454, + 110330487, + 323097839, + 226542005, + 815592661, + 764298037, + 70604950, + 153704308, + 769389121, + 751088136, + 188687853, + 587494454, + 762197903, + 729943324, + 414117866, + 759585217, + 876297823, + 707678255, + 84230063, + 385304279, + 976709658, + 802521844, + 511877623, + 180843000, + 546110908, + 357335999, + 76746037, + 918288533, + 88234988, + 811052938, + 839844379, + 60718371, + 813348929, + 704224454, + 776344264, + 574031941, + 855635783, + 599903221, + 505228915, + 734029360, + 572003372, + 972816961, + 741734234, + 17719173, + 198376178, + 433344052, + 222067795, + 649137331, + 115288736, + 825994177, + 273477875, + 485987050, + 474635913, + 650328805, + 713749096, + 315673329, + 819068887, + 449870384, + 831491018, + 788857904, + 652534248, + 54210088, + 567699491, + 412179179, + 375406596, + 339532731, + 413467150, + 87985504, + 560802858, + 170648584, + 513959401, + 156120872, + 743842935, + 120948221, + 885234250, + 746549993, + 282249770, + 424827599, + 739310707, + 998083861, + 376466078, + 153123319, + 247314385, + 899419580, + 901313295, + 192913455, + 288730775, + 486568012, + 59176822, + 249664482, + 552315300, + 745197916, + 547751098, + 454359106, + 541950164, + 808333559, + 684934034, + 580585551, + 12928426, + 42888921, + 288646884, + 431620237, + 516219862, + 469880754, + 624166350, + 935507209, + 787331643, + 249632282, + 120433639, + 941759323, + 840389204, + 739687963, + 742882317, + 690872363, + 811628383, + 582842443, + 735893773, + 464008507, + 818734688, + 943597945, + 110384116, + 221034400, + 449503300, + 934514217, + 897276446, + 54042732, + 400347214, + 712864439, + 867678433, + 394676046, + 488588580, + 826495002, + 862816217, + 859365820, + 783737544, + 978174440, + 476678375, + 737756762, + 258081128, + 838008823, + 71106873, + 427355688, + 174846538, + 531021291, + 589090326, + 116394984, + 652197602, + 48087579, + 776243343, + 366109923, + 91064273, + 888216042, + 287028337, + 655385682, + 382804818, + 920546135, + 159247205, + 713285454, + 25130336, + 646970842, + 316100822, + 397862946, + 566088723, + 733333640, + 205353559, + 482820043, + 506561510, + 562285384, + 968092480, + 684611344, + 31439074, + 413002757, + 11318070, + 183555330, + 314784779, + 906577685, + 573012915, + 696979517, + 996032951, + 721974607, + 943600346, + 675761461, + 735248240, + 485046379, + 10560545, + 856115556, + 368972881, + 86247104, + 149438652, + 243366157, + 944475931, + 185602460, + 410923664, + 144437286, + 589988818, + 281386883, + 826255389, + 877180475, + 150111753, + 918941174, + 830519674, + 292651458, + 617059982, + 805626835, + 355243266, + 175819045, + 969383459, + 601301297, + 523733223, + 952612061, + 68196406, + 388920097, + 675878929, + 558494114, + 948258885, + 102683784, + 710705116, + 340282324, + 802743606, + 505728733, + 882118662, + 569553911, + 261763830, + 194957459, + 203313621, + 824005795, + 545942601, + 146216328, + 317619223, + 596622874, + 864863993, + 88197288, + 130677807, + 619401097, + 363435772, + 423743219, + 620379969, + 944736530, + 3057090, + 929389005, + 684949120, + 21282331, + 983246527, + 54862192, + 879534012, + 272135482, + 737238353, + 880213923, + 484227833, + 231193014, + 524166777, + 500829056, + 632448443, + 655660913, + 238315612, + 497665487, + 37492976, + 94805082, + 521940084, + 873942002, + 280484652, + 744575707, + 848726793, + 954006855, + 456650725, + 330642918, + 269229745, + 58862551, + 53998277, + 562228552, + 596080031, + 851610753, + 829225593, + 911256498, + 783696277, + 885900941, + 575957242, + 679205122, + 250386215, + 482657082, + 871413067, + 932428399, + 440690149, + 419972824, + 368658967, + 341410380, + 852737911, + 512975282, + 802438385, + 204947000, + 53795990, + 907421541, + 833476422, + 17897168, + 73191484, + 258816420, + 919628577, + 695361790, + 501248480, + 965218670, + 722196544, + 387640308, + 532929678, + 176362623, + 300035958, + 409555775, + 445099460, + 461332800, + 85506479, + 209397837, + 754496766, + 854861793, + 767634140, + 583454317, + 44592486, + 605955918, + 308280773, + 254412108, + 161764284, + 407615881, + 227818633, + 453515321, + 242331149, + 622317623, + 317534411, + 445846642, + 216302006, + 682265996, + 769480607, + 733441398, + 345609594, + 333022359, + 723336628, + 124065258, + 324627270, + 949147849, + 868588258, + 460190091, + 891590663, + 371329022, + 233634427, + 388830095, + 935829914, + 109925990, + 403657738, + 84656024, + 393438207, + 605254046, + 66446398, + 318287411, + 202786639, + 486038302, + 173366410, + 387579212, + 16219452, + 130970295, + 457123653, + 207974392, + 697370709, + 247091419, + 693851011, + 154122021, + 968790234, + 537729643, + 785063539, + 712924506, + 224873313, + 564570193, + 793814400, + 725032053, + 671104592, + 228132194, + 981593256, + 249252507, + 24756327, + 679947608, + 262304832, + 892568385, + 506165821, + 536860101, + 544295896, + 908105577, + 206976793, + 422367480, + 345205613, + 353383787, + 902053476, + 310550244, + 724871644, + 339782356, + 264678584, + 559743019, + 598197265, + 613295328, + 565817125, + 263716362, + 148842316, + 791935059, + 340560800, + 647609895, + 640333074, + 670917529, + 741816263, + 387732698, + 654057624, + 471224144, + 400983004, + 248303715, + 895193060, + 741654552, + 702773481, + 455773903, + 989383658, + 794666324, + 615697762, + 76008713, + 902322780, + 833909842, + 568366969, + 194664830, + 230008047, + 840767544, + 354370256, + 63027273, + 888066917, + 175656521, + 11445824, + 321601794, + 97246519, + 182402122, + 295803320, + 164325535, + 460764790, + 172241145, + 925334383, + 452098023, + 951831796, + 816458358, + 254028331, + 838055453, + 842820593, + 958246646, + 232675906, + 931644530, + 966843696, + 190726319, + 337876763, + 308428602, + 152246316, + 793572725, + 331600747, + 238342747, + 978472520, + 445977650, + 771590032, + 429402641, + 356265099, + 813114156, + 435668554, + 328775177, + 826162490, + 15214292, + 980982005, + 448801119, + 770810601, + 194213856, + 519180718, + 763444478, + 38277670, + 855482284, + 126075838, + 90472074, + 109847947, + 355676621, + 299051294, + 413079091, + 748984016, + 160364924, + 537732304, + 55246645, + 339828442, + 91460745, + 681765440, + 938499409, + 600785349, + 489774063, + 422142535, + 416909283, + 395093071, + 966776880, + 351764812, + 244338638, + 410476495, + 365196757, + 413709526, + 81989617, + 977315678, + 329596400, + 978057906, + 14044134, + 218619731, + 921812069, + 199543754, + 158763032, + 151830804, + 557448191, + 920228698, + 748473248, + 254004579, + 954640679, + 689740041, + 259223311, + 131677030, + 714287030, + 708480969, + 933011715, + 62179299, + 126917010, + 389522027, + 538917365, + 557491392, + 708306661, + 423883500, + 749101504, + 712563592, + 472870219, + 985292464, + 910805360, + 640098480, + 528287005, + 917048301, + 23737464, + 942989119, + 535490966, + 352028148, + 147796860, + 493999454, + 992837122, + 259524200, + 675629121, + 912346197, + 392764617, + 169064049, + 950208454, + 258894607, + 506178071, + 105973942, + 415171238, + 101994024, + 511335945, + 71611851, + 448722378, + 973131989, + 606642598, + 192731803, + 487788928, + 408577674, + 680996656, + 377786811, + 418261155, + 272516239, + 82659286, + 335625756, + 968276064, + 318741763, + 380979081, + 856612603, + 319696172, + 877427358, + 10022181, + 440682877, + 14256092, + 442746377, + 305625023, + 414657842, + 428546312, + 257372516, + 907178853, + 774226775, + 450269520, + 318707109, + 528706776, + 314782409, + 272917130, + 182749173, + 103771718, + 771392224, + 889362750, + 322038033, + 642056045, + 769863562, + 413570108, + 824974461, + 995118222, + 268027428, + 843790934, + 208013332, + 437910018, + 684206342, + 411926993, + 811598108, + 117752427, + 275112328, + 945694436, + 920446810, + 705246118, + 303657750, + 689000691, + 107613705, + 545621231, + 774349584, + 619455526, + 239661803, + 858991489, + 675518171, + 823249428, + 973500902, + 400504207, + 854189613, + 34632725, + 568977308, + 174283618, + 229662878, + 747442705, + 684076390, + 381359947, + 477478599, + 61349772, + 209620104, + 838633941, + 598683227, + 262652577, + 282310021, + 248452768, + 988284317, + 90393353, + 704682389, + 555652558, + 855520663, + 747301159, + 677639742, + 344100361, + 965513939, + 352501075, + 445290248, + 448308832, + 965344280, + 631729169, + 335295721, + 341560803, + 514256132, + 318430082, + 698443260, + 942878596, + 392659042, + 739956794, + 306052988, + 807077540, + 967363701, + 900572000, + 684069416, + 159136849, + 247879675, + 256296969, + 451820528, + 507233518, + 495305849, + 649312214, + 950482152, + 947697307, + 757442036, + 850341810, + 731064131, + 750231994, + 259284933, + 196597955, + 83522720, + 528272710, + 905042751, + 486525609, + 485117201, + 700555441, + 193224048, + 366945903, + 637120070, + 783027950, + 26463423, + 901660662, + 523485361, + 28697014, + 431341136, + 79670929, + 500232861, + 142203695, + 115251379, + 713618100, + 363102328, + 715379616, + 769176714, + 166465372, + 511700037, + 410395875, + 793831882, + 951682630, + 981188162, + 25207034, + 145162367, + 694604000, + 572227300, + 517241614, + 763444789, + 581340979, + 951576200, + 470194693, + 918743494, + 295985518, + 929157380, + 930847133, + 724629772, + 139982499, + 62984224, + 805866811, + 306254984, + 83217978, + 113738620, + 345338308, + 668447623, + 572662225, + 35189229, + 871016735, + 364888927, + 157081238, + 945826079, + 785195784, + 384223971, + 942005942, + 96764265, + 131242563, + 109899630, + 311996657, + 882660605, + 732076008, + 47875581, + 664703669, + 823724610, + 900119135, + 271622520, + 496872456, + 365668015, + 949067023, + 408777403, + 538363785, + 925362418, + 29791186, + 706656108, + 477683040, + 944506024, + 339953711, + 719761163, + 381296863, + 936025500, + 940131332, + 352688994, + 109673784, + 633151318, + 423673261, + 405928200, + 739859920, + 616623775, + 134826231, + 946523066, + 440173070, + 201273999, + 851102543, + 187256004, + 312423371, + 38875908, + 887463000, + 3503832, + 387199670, + 244824157, + 311946288, + 981309406, + 127246463, + 35799916, + 191353155, + 130469630, + 985033755, + 574896099, + 572521539, + 281538238, + 832869826, + 867315361, + 254648462, + 973774234, + 123825784, + 569653829, + 39035537, + 104962316, + 876438037, + 377217212, + 808328613, + 845998404, + 64535468, + 102282502, + 122900356, + 214608267, + 678454755, + 932471769, + 894645798, + 873399727, + 464805901, + 563015566, + 660110145, + 893765478, + 727138892, + 462153990, + 297726136, + 697681310, + 753683625, + 463981476, + 771643849, + 127355052, + 322863606, + 2262938, + 191714188, + 185036580, + 69425801, + 2820816, + 726010154, + 633977627, + 286799342, + 329675561, + 258101316, + 674906355, + 697881515, + 936106667, + 71262158, + 72093230, + 585375963, + 223517490, + 380065365, + 125733941, + 185175926, + 352110624, + 997708859, + 902421103, + 381277720, + 387208173, + 999886767, + 433663407, + 229614454, + 508868076, + 616807437, + 997917214, + 420481549, + 314486592, + 641761300, + 39364810, + 348125280, + 93848129, + 500985068, + 265348944, + 404504872, + 178828217, + 802160216, + 614256718, + 846122876, + 679647044, + 864688911, + 638476433, + 663537890, + 429792826, + 537794680, + 111136156, + 629250557, + 275315198, + 294685531, + 650249552, + 915921636, + 590255399, + 80646240, + 627704077, + 144347005, + 824349797, + 812984585, + 994414631, + 209882779, + 833710718, + 611404349, + 963009823, + 63541503, + 77233503, + 860330713, + 308352582, + 544554588, + 783316880, + 163382272, + 668889060, + 128985667, + 925877052, + 598257156, + 529778657, + 128430789, + 955232877, + 128700, + 80349701, + 251612752, + 999763861, + 835482422, + 264543223, + 798564130, + 345165800, + 638446335, + 164999739, + 749225798, + 880709428, + 432375294, + 197583760, + 927520111, + 391232979, + 304510800, + 814207782, + 766728882, + 769353452, + 95615545, + 862830753, + 921838285, + 438341795, + 912688204, + 850470367, + 794142568, + 774453024, + 890312836, + 111788379, + 810157, + 385269309, + 806664647, + 738798769, + 321720812, + 397429559, + 285323916, + 16861129, + 502082117, + 500584115, + 174549172, + 370304120, + 718830285, + 344649166, + 697348032, + 932602849, + 586506483, + 275116303, + 293669235, + 884937310, + 746603521, + 506523972, + 384060315, + 182590934, + 301774905, + 133133022, + 184594956, + 879430538, + 2038938, + 590681068, + 267117226, + 955482146, + 881527870, + 751787332, + 639238909, + 106360909, + 762164345, + 160475819, + 218960008, + 281707110, + 653642878, + 291528929, + 53579768, + 175276056, + 822006956, + 37926288, + 881841337, + 694515423, + 544110593, + 44597251, + 918862845, + 531750628, + 494668365, + 440201415, + 695085339, + 224893935, + 876107861, + 882827194, + 35335009, + 218068667, + 171364598, + 515274083, + 705054170, + 591867945, + 197725680, + 32259623, + 523470334, + 870143260, + 771300523, + 575784771, + 805397802, + 456522344, + 347239952, + 449229168, + 882409565, + 226270736, + 22602079, + 787595245, + 749466240, + 348939768, + 337334755, + 39638608, + 854090748, + 930304340, + 652114342, + 437581760, + 686528533, + 258771193, + 381223123, + 855932759, + 338204580, + 890715163, + 929021218, + 423042889, + 524534325, + 622418076, + 653845432, + 923733807, + 430453486, + 608496317, + 822992802, + 851391791, + 687669279, + 861917975, + 981663410, + 403939953, + 114642665, + 407861596, + 703360894, + 281573612, + 874745742, + 332300994, + 920660729, + 673296896, + 473299407, + 871182245, + 742453285, + 32303082, + 637698115, + 309922329, + 512596718, + 174245852, + 14592485, + 430674126, + 81931891, + 336037481, + 522276783, + 532727431, + 879294942, + 543926451, + 542306614, + 262118888, + 91759457, + 741720351, + 705491375, + 703307775, + 630986275, + 476803671, + 58356822, + 973536119, + 384916859, + 830043503, + 475955053, + 445156617, + 685369644, + 972171710, + 381357790, + 594955442, + 641301166, + 669583732, + 151110314, + 122513467, + 825536648, + 61798897, + 619607828, + 139681312, + 40017872, + 42526746, + 762686940, + 623216423, + 321602560, + 847723293, + 642172594, + 131104479, + 608907738, + 438120754, + 635065113, + 356221645, + 283980573, + 517035742, + 265742780, + 831068701, + 451169548, + 554768749, + 797506972, + 958875767, + 163739725, + 740987184, + 836383930, + 504505026, + 869214651, + 285917730, + 539539603, + 12040476, + 741770405, + 245066216, + 750127583, + 270600152, + 152717269, + 543149391, + 324316214, + 560656728, + 569888085, + 709226977, + 722532162, + 806237210, + 568948756, + 727569017, + 665430942, + 673913372, + 965985082, + 411152767, + 105080178, + 797630901, + 98835914, + 949543399, + 987140151, + 239715237, + 977926399, + 917238705, + 644629853, + 315261824, + 185175100, + 581810049, + 291736736, + 788305306, + 626134982, + 247481272, + 266973130, + 330732457, + 439259257, + 989610386, + 416587897, + 36851835, + 335961673, + 758855607, + 961515146, + 448486767, + 457670344, + 216771555, + 651355235, + 864484555, + 625886304, + 678167696, + 98198178, + 617614858, + 122180256, + 243660051, + 172441807, + 654085811, + 867125175, + 810152371, + 100921472, + 419735394, + 625189788, + 424950610, + 735863858, + 157795894, + 685320849, + 30717151, + 517710009, + 156743164, + 857428017, + 222361332, + 605247789, + 812913695, + 873720664, + 57059210, + 132314601, + 616479199, + 433691497, + 427897623, + 190246301, + 727680809, + 126656621, + 530348708, + 399542028, + 744188470, + 261174226, + 239511018, + 37315222, + 558259197, + 712667221, + 390123681, + 68436236, + 77094373, + 955540657, + 479513281, + 921313234, + 402966769, + 668975742, + 928066976, + 48174814, + 325109749, + 880495439, + 357113227, + 116916359, + 243616187, + 422016270, + 922207251, + 212874699, + 124786887, + 395768726, + 293876385, + 369594896, + 81260699, + 546646590, + 975278228, + 800427611, + 449811022, + 459410450, + 402125056, + 831283513, + 37495652, + 488015043, + 742742790, + 840808700, + 693960677, + 557791072, + 681033200, + 200847345, + 19838786, + 593451935, + 122622020, + 106655500, + 373033515, + 688540551, + 104378388, + 581426371, + 584463368, + 718568544, + 127646390, + 717583279, + 645626251, + 591146316, + 775460503, + 92412034, + 170100961, + 825764520, + 869012208, + 464577533, + 375135727, + 743533286, + 40492962, + 94461370, + 273929227, + 663917843, + 758773074, + 664172494, + 893832411, + 427326827, + 670097112, + 190887713, + 173807789, + 982743582, + 215947260, + 760608162, + 730674440, + 46674450, + 903164787, + 361479928, + 88879931, + 820165303, + 663750787, + 400231364, + 185959629, + 963791906, + 590232477, + 315354128, + 33331520, + 176829264, + 923576202, + 196156334, + 697581350, + 626375012, + 404787605, + 640763847, + 930927503, + 328512526, + 811996542, + 653470381, + 794246178, + 211569224, + 40478865, + 227869437, + 488832447, + 320712038, + 577163685, + 286929019, + 855914972, + 394641497, + 266222326, + 688396814, + 237951474, + 474647182, + 747598166, + 647104170, + 567216984, + 828889397, + 427247119, + 28659705, + 459443657, + 587167564, + 264951327, + 320890717, + 368234864, + 47777410, + 452453038, + 921286540, + 560547196, + 958411597, + 820361374, + 371549303, + 220074465, + 486445902, + 995537423, + 615477603, + 999817851, + 585858374, + 505847325, + 602435131, + 991353075, + 90224972, + 388724876, + 530205587, + 208705459, + 978920991, + 714222546, + 378704705, + 867211259, + 131135897, + 34919529, + 552616246, + 760447980, + 475958905, + 347189443, + 338679637, + 614837889, + 622273224, + 152479006, + 95256598, + 155838430, + 290560300, + 188239608, + 265842987, + 352830847, + 807295011, + 918909254, + 644520085, + 819799815, + 807294323, + 48741207, + 387624044, + 791954730, + 961052720, + 813822603, + 600668452, + 447819241, + 518358906, + 37564246, + 923326816, + 544867615, + 307807045, + 445858007, + 248232427, + 454738699, + 39968256, + 889315128, + 79043969, + 442767786, + 73433426, + 628011229, + 785470146, + 642193942, + 881556907, + 572690886, + 653910656, + 927090798, + 559262750, + 168725739, + 323619038, + 349233080, + 920377628, + 893116861, + 331359102, + 741675202, + 85892562, + 878833251, + 978240009, + 437581441, + 956968588, + 195127647, + 987073822, + 673920036, + 180080352, + 825111958, + 185500967, + 186134329, + 94873339, + 407693504, + 698935924, + 684831342, + 782444163, + 17742704, + 123630431, + 275958888, + 571828338, + 361899968, + 349618415, + 128343390, + 610410179, + 706210951, + 232202646, + 107643413, + 133362785, + 368633009, + 414950126, + 459331484, + 764217865, + 968854625, + 33576192, + 87977043, + 119603327, + 818420617, + 208147329, + 412849925, + 966439421, + 19261629, + 837812073, + 211503748, + 318617576, + 366458523, + 279978993, + 238148943, + 458787494, + 844460344, + 819529433, + 716116339, + 766346722, + 612079361, + 466883122, + 38768749, + 668596478, + 321689783, + 875859319, + 732243382, + 690443533, + 737518094, + 618741195, + 540577597, + 17067091, + 629026951, + 306211025, + 115873160, + 998011411, + 853745809, + 616127598, + 734669703, + 658766328, + 182166568, + 776341604, + 623278328, + 597293638, + 544183780, + 922294873, + 374265284, + 570470761, + 419754042, + 759350557, + 175999503, + 116358094, + 671865539, + 377817509, + 933703054, + 291359294, + 988847998, + 810434930, + 619014530, + 94086979, + 150766695, + 581908493, + 729661839, + 867221695, + 479105681, + 8841617, + 921614194, + 713057443, + 842290960, + 586311329, + 29176592, + 587017613, + 874544882, + 280643074, + 906791035, + 785750528, + 283148162, + 12187136, + 194655973, + 43309834, + 477330976, + 133251619, + 98469121, + 752759514, + 794303233, + 19094212, + 831406988, + 66186066, + 204352028, + 987420632, + 91366895, + 90552169, + 248685431, + 627916193, + 717092819, + 999244467, + 837258056, + 975452249, + 918408080, + 372155467, + 550737082, + 877496210, + 396804016, + 5468682, + 820722114, + 559965445, + 417600280, + 280048792, + 767380121, + 853167699, + 116734490, + 419225678, + 159662091, + 688883249, + 251684835, + 778412921, + 636217921, + 774208309, + 271219763, + 36792462, + 98654136, + 208518775, + 528445879, + 57723910, + 628952593, + 467423542, + 605815403, + 197659164, + 813305420, + 21986121, + 953049163, + 442187677, + 260713906, + 863133348, + 474441761, + 587590062, + 922051441, + 250498541, + 665676883, + 953186200, + 659188410, + 756531726, + 866396295, + 726376117, + 645436762, + 264030924, + 415783292, + 976046457, + 377975358, + 746114090, + 777838489, + 346914008, + 182974702, + 531492362, + 59867346, + 839500544, + 665630650, + 396608053, + 378032483, + 929256120, + 985530235, + 316937351, + 274357663, + 737974303, + 709028358, + 97825036, + 608162639, + 910678507, + 286634391, + 306816368, + 453174146, + 288246539, + 727770263, + 180442525, + 596076757, + 640003318, + 537775396, + 974491915, + 246294504, + 741267978, + 721832951, + 118106386, + 319220458, + 813232871, + 255882537, + 406915683, + 917944079, + 578604217, + 541810101, + 681666858, + 22483301, + 244260246, + 468851005, + 529602079, + 819865439, + 552431281, + 347912230, + 591541617, + 254501166, + 869031648, + 586929810, + 763414540, + 623329786, + 15562637, + 19383800, + 573515579, + 405695436, + 677831419, + 77125076, + 597516288, + 114973785, + 365159060, + 85253869, + 181872957, + 846539000, + 869944897, + 426463230, + 596071074, + 789936387, + 483566722, + 734888840, + 244436691, + 597733845, + 115881726, + 879935515, + 888034669, + 675448506, + 164140971, + 771018330, + 968541769, + 157136987, + 785205516, + 219479274, + 24423877, + 435751612, + 546097856, + 733407154, + 227161648, + 367955487, + 684885180, + 550122989, + 960434773, + 787978019, + 28096113, + 159615158, + 556525625, + 935208301, + 850825835, + 758043798, + 558723117, + 260357670, + 832376701, + 551844912, + 9037664, + 70126641, + 972974109, + 443826219, + 989096137, + 721400349, + 311307122, + 676385871, + 724430806, + 792623434, + 608104757, + 266738125, + 539629022, + 884226369, + 843292947, + 606497020, + 238996751, + 151091091, + 65802764, + 586306478, + 755457071, + 325481320, + 682620539, + 461271456, + 785189439, + 985889856, + 287018156, + 224168359, + 568325280, + 92320195, + 406228944, + 476828602, + 58690505, + 463186163, + 49392113, + 492110736, + 28891896, + 54557198, + 56684131, + 15350761, + 884056248, + 489247276, + 242464540, + 871240281, + 188424735, + 586959990, + 492756594, + 580649279, + 734223054, + 986824993, + 466077268, + 213235395, + 594503681, + 192444036, + 519385543, + 863633155, + 632958168, + 805228021, + 597726784, + 445117631, + 945306305, + 652218659, + 702207465, + 928911805, + 984482742, + 584429906, + 702928876, + 962292494, + 952069223, + 435485092, + 977705066, + 358987145, + 965879954, + 846014219, + 583044688, + 221506755, + 376581195, + 901195607, + 136417385, + 471448395, + 988727094, + 720939150, + 167683559, + 289287305, + 237062080, + 227625425, + 95765024, + 523019585, + 911131599, + 916657507, + 235744473, + 264586789, + 650375957, + 21278225, + 322877419, + 534956862, + 65142945, + 207164080, + 412577293, + 236698399, + 415466325, + 35044311, + 607500564, + 323521473, + 104546821, + 493836617, + 627732955, + 244929518, + 194116809, + 823735298, + 75412787, + 286333094, + 575738484, + 406552821, + 949876463, + 454033455, + 127615716, + 63599387, + 248902419, + 543283401, + 827040942, + 597088274, + 464663718, + 70801270, + 503694485, + 739436130, + 793351815, + 86187037, + 745793826, + 67757025, + 815178335, + 804185060, + 396509277, + 352558005, + 584686909, + 426204879, + 662205226, + 30645961, + 574226735, + 898725912, + 417490804, + 627656384, + 989039546, + 529838682, + 148253772, + 57695215, + 83485749, + 920635026, + 806247634, + 496755410, + 739373926, + 493671140, + 476056085, + 975397154, + 673924673, + 110949088, + 24956187, + 275458074, + 191202126, + 875503129, + 624102564, + 993448207, + 135230123, + 444620806, + 978740284, + 251544104, + 606062024, + 218217864, + 470875597, + 152047928, + 83756252, + 992479154, + 663075320, + 799485823, + 938344264, + 537932167, + 945959906, + 371193914, + 432098964, + 351774996, + 522865845, + 558241995, + 800205675, + 574721633, + 792016903, + 625733095, + 683430121, + 805172678, + 750865396, + 923208764, + 635499644, + 453445541, + 277420911, + 76921109, + 836046427, + 760571086, + 751629600, + 663474170, + 322241151, + 576611210, + 231320655, + 289673826, + 656395732, + 265844534, + 298931073, + 69939028, + 447549195, + 259878972, + 211513085, + 552119613, + 338657612, + 896992981, + 271108571, + 644853908, + 608210120, + 667562036, + 605439405, + 175174104, + 714074195, + 296878134, + 364310949, + 349462631, + 244966883, + 131813135, + 258534074, + 640223262, + 393015697, + 959432959, + 504637734, + 29582834, + 607207112, + 886849226, + 984945956, + 427864287, + 372464490, + 995938842, + 205040759, + 587438732, + 364189507, + 634487581, + 910802534, + 20723340, + 992832600, + 74383618, + 540255983, + 178643940, + 515304333, + 697002019, + 891276032, + 457279798, + 880330865, + 156196674, + 671464386, + 353694316, + 616245022, + 452584318, + 865890288, + 692213815, + 192854694, + 784024323, + 526380404, + 275020369, + 236611918, + 167049483, + 470125573, + 886696210, + 128346577, + 123509498, + 501322194, + 747992671, + 589325131, + 20557281, + 267752541, + 544445034, + 478619007, + 358665615, + 642544898, + 310575894, + 729250131, + 218718383, + 685840054, + 755182505, + 161335747, + 104779653, + 497274556, + 112539584, + 140604702, + 722724249, + 114978663, + 882951608, + 73774842, + 27515275, + 949613311, + 822293288, + 480843927, + 398687573, + 557313357, + 747278567, + 478299696, + 730036901, + 482774309, + 315100133, + 326398075, + 754929374, + 22124239, + 308812122, + 185080306, + 477269220, + 934807130, + 462450862, + 461216332, + 555045415, + 838890931, + 182626124, + 798241483, + 635710947, + 3955116, + 635089401, + 203974469, + 403642, + 441094613, + 549271549, + 678094364, + 225244265, + 502058387, + 827555373, + 408597422, + 774374424, + 78564984, + 986873249, + 805971185, + 488113118, + 296890697, + 188678363, + 650534508, + 939023656, + 712335322, + 1592039, + 524604504, + 827735120, + 98905262, + 765178526, + 321356743, + 805457688, + 615850837, + 344213225, + 473866428, + 789428627, + 327163611, + 814095241, + 203768296, + 307074401, + 988585802, + 103231948, + 932858164, + 963300965, + 739997984, + 803461939, + 698695066, + 822233733, + 547119767, + 770356325, + 69073489, + 713214265, + 95410730, + 99055474, + 2506809, + 265734513, + 902491601, + 597558802, + 713499292, + 26574927, + 419279433, + 885266562, + 42856806, + 811468396, + 259578171, + 65762810, + 934752106, + 934317321, + 750743497, + 800617882, + 27784585, + 365585274, + 630330414, + 322082518, + 508054707, + 499706678, + 441666197, + 291394971, + 214552982, + 417449979, + 264242186, + 507283058, + 974467940, + 962032555, + 100050859, + 326994714, + 653190982, + 763058455, + 112788398, + 534012987, + 881285456, + 706659382, + 680299958, + 14270206, + 536762174, + 8670249, + 645726452, + 231751588, + 72834745, + 671214185, + 158038351, + 485580632, + 814400712, + 160539216, + 638678275, + 116343253, + 432145349, + 733755915, + 375566454, + 574020674, + 945942401, + 994671464, + 726138910, + 90268414, + 572758825, + 598776869, + 664942258, + 417223974, + 528151091, + 52039924, + 519505567, + 715151781, + 577293308, + 569467608, + 923947416, + 741666250, + 886163163, + 908765625, + 584305937, + 886605588, + 197920972, + 429716492, + 600676760, + 89791971, + 144690243, + 177067030, + 838705323, + 567169154, + 853754432, + 818506794, + 978524416, + 244814710, + 295072036, + 300511460, + 661177167, + 465430791, + 387806586, + 35178273, + 966404691, + 322969652, + 317319303, + 271441355, + 249613386, + 774996725, + 770230632, + 705096114, + 875514064, + 514480519, + 41870930, + 386588785, + 631355561, + 809381170, + 559659682, + 987435199, + 727449648, + 27885941, + 286982534, + 376452376, + 806312998, + 763820150, + 714149379, + 590347896, + 275028487, + 301792224, + 875431535, + 154842297, + 499239850, + 996979165, + 442051087, + 660032634, + 855066738, + 817504431, + 594899863, + 839170061, + 574808810, + 910058025, + 202445624, + 819424614, + 604506266, + 187593671, + 795458782, + 982408627, + 190388222, + 66539501, + 819894552, + 109449551, + 551815730, + 138427707, + 718686425, + 325424027, + 853298335, + 350635873, + 254271870, + 286420730, + 378063951, + 757812959, + 179863611, + 512278302, + 604208473, + 546119390, + 408476561, + 975885089, + 775155433, + 912560899, + 361528907, + 224213317, + 785818728, + 382330574, + 593435055, + 3049416, + 342341873, + 223660904, + 958324914, + 498445820, + 438784467, + 23609675, + 670801514, + 224128342, + 915855771, + 568204873, + 112674180, + 494010177, + 679930327, + 276321998, + 95748372, + 651481466, + 293729616, + 622287685, + 531897402, + 234970010, + 167623426, + 976591775, + 48464207, + 793046571, + 879302867, + 939252967, + 900673271, + 764722449, + 400670317, + 390298060, + 741661107, + 97291975, + 615860962, + 374917427, + 51141771, + 90366775, + 549996110, + 56738575, + 804432113, + 897318687, + 872741699, + 513817778, + 646317692, + 378340935, + 586502881, + 939111789, + 671310899, + 773042077, + 316117506, + 119832425, + 126550698, + 322357177, + 677955060, + 139594989, + 66660934, + 98604438, + 286056356, + 413506561, + 967271786, + 925185029, + 547057289, + 241234799, + 20973757, + 303756585, + 570469771, + 358458676, + 642875309, + 202033346, + 395514480, + 127340927, + 130155927, + 622914628, + 263168819, + 607135260, + 772431455, + 805329271, + 405730914, + 284552024, + 978725660, + 750564148, + 887972248, + 521369553, + 213319637, + 725733271, + 196138345, + 77276052, + 16120543, + 183087899, + 851836881, + 978857989, + 646627237, + 390044860, + 532365562, + 68956352, + 92151982, + 382082281, + 279428743, + 568550334, + 541196261, + 891383701, + 595643416, + 816782801, + 564628579, + 808504904, + 332864535, + 43646124, + 712669536, + 692657966, + 702252816, + 728252287, + 921385943, + 291011040, + 861432503, + 844316702, + 703608330, + 433124203, + 137728672, + 912260831, + 10788755, + 361717181, + 603583979, + 976196390, + 912135729, + 164205435, + 126515274, + 595706121, + 206651770, + 842457460, + 415475079, + 505558851, + 529389237, + 75974270, + 81907469, + 685289488, + 996170527, + 10743788, + 404101784, + 612324872, + 46948140, + 431320315, + 199891061, + 531360566, + 534978572, + 783379028, + 404588829, + 526882790, + 501269090, + 29360185, + 934559905, + 600049059, + 930491802, + 721052593, + 121506896, + 117318322, + 336574422, + 703071355, + 867802218, + 524004494, + 403294329, + 529328624, + 199766438, + 387856338, + 201066863, + 826312427, + 230860127, + 401664811, + 138054467, + 466178485, + 786425869, + 846981328, + 828918982, + 26813705, + 350297955, + 750808002, + 847279810, + 654458467, + 318989954, + 279850322, + 582724686, + 530716661, + 207769267, + 765562612, + 786026920, + 197858616, + 71466300, + 726650354, + 984652523, + 999935642, + 305613574, + 542801023, + 427502343, + 407956760, + 14391474, + 380735536, + 670480931, + 641693718, + 401942290, + 407714521, + 671653383, + 114869144, + 987907964, + 160427615, + 915329440, + 869418214, + 770155037, + 664844463, + 43180135, + 168545711, + 239479629, + 805201598, + 955651589, + 20687245, + 178806002, + 868880027, + 672610356, + 806033607, + 304027735, + 101465749, + 18050953, + 177236804, + 990059411, + 751947054, + 83572651, + 492263594, + 579755793, + 88337688, + 327142754, + 655282189, + 156560313, + 594778269, + 246350684, + 425614646, + 384353146, + 45621067, + 430017065, + 763352562, + 195360968, + 707744967, + 330244762, + 980734244, + 11350546, + 925023040, + 494604491, + 109645983, + 733456857, + 781526638, + 774778620, + 623166809, + 846352856, + 40533802, + 384053882, + 533957030, + 506049220, + 27411621, + 752969920, + 770606010, + 871882787, + 326287859, + 532643030, + 327689101, + 732731186, + 686732398, + 234214658, + 362065542, + 591108121, + 633268709, + 726187757, + 771534415, + 773373102, + 692962841, + 460139793, + 932444051, + 196186309, + 634109831, + 423471814, + 590422037, + 404710419, + 925958441, + 426086976, + 36206926, + 427247757, + 197321079, + 857393206, + 637432807, + 645529433, + 281499134, + 449063048, + 66914723, + 823482207, + 13663360, + 750421351, + 917018520, + 445194179, + 267146737, + 349953696, + 971035691, + 47318453, + 204714347, + 982129211, + 705516410, + 134109671, + 314368396, + 153579740, + 769754189, + 341012188, + 644273372, + 184168526, + 664680987, + 382175847, + 897595710, + 953188846, + 157901401, + 6623272, + 324411895, + 39500340, + 861917557, + 699505808, + 595628060, + 399336621, + 406266724, + 446215823, + 185777039, + 963546155, + 303213193, + 772338872, + 274203224, + 646103995, + 722638769, + 795290923, + 534473675, + 440917965, + 585977529, + 380555784, + 205969671, + 503722980, + 621859330, + 978524402, + 915245617, + 279753588, + 173549910, + 35132363, + 776907769, + 235326925, + 643765214, + 182887085, + 960869071, + 817410933, + 681461437, + 733015801, + 275977318, + 843773276, + 784228299, + 75959967, + 635809403, + 716330315, + 349903503, + 231086842, + 916403627, + 828459117, + 680279965, + 924519048, + 236194083, + 822721129, + 538071040, + 718010321, + 874929884, + 491330478, + 477822112, + 763086454, + 124882195, + 948797441, + 697783226, + 951621665, + 576773247, + 511834351, + 780984364, + 513457886, + 355931958, + 459988953, + 415418116, + 199070362, + 853824951, + 126995199, + 476348276, + 733020297, + 104903497, + 408492762, + 285148489, + 738054843, + 42511272, + 523864560, + 269236745, + 720603332, + 41183000, + 374270323, + 77722088, + 942713050, + 654839700, + 623268294, + 478995796, + 551904652, + 237271718, + 931503986, + 645209865, + 446385239, + 420671794, + 239276607, + 303945172, + 561625181, + 667012511, + 648014184, + 219099845, + 494080490, + 474458068, + 312001033, + 150563969, + 674205499, + 351454429, + 370890573, + 296302475, + 809946356, + 691238254, + 434811867, + 289132865, + 839403619, + 870621080, + 233612159, + 280249248, + 540742236, + 538593058, + 537403092, + 325171612, + 636434509, + 892866055, + 592264551, + 249235249, + 276316574, + 163894902, + 611021312, + 561570938, + 345544652, + 833046772, + 462162414, + 369194321, + 563984211, + 276954621, + 329769128, + 182275916, + 467556857, + 100016303, + 595128772, + 51445408, + 38302155, + 528407933, + 590298651, + 43180779, + 811518179, + 153773300, + 171519648, + 803376791, + 415949282, + 817114465, + 702926121, + 961888586, + 563047977, + 554871028, + 892424034, + 600197113, + 102023217, + 967685433, + 710354346, + 297007060, + 572495976, + 914653866, + 420543136, + 320375609, + 732060881, + 181900514, + 414104246, + 844367071, + 61985727, + 471935821, + 736133721, + 224224100, + 820188859, + 774364484, + 658685584, + 783567300, + 894719885, + 902437169, + 450293422, + 537614304, + 603003673, + 695527677, + 33477364, + 373317106, + 843541334, + 305154916, + 452356929, + 834788983, + 943890885, + 445899667, + 79851031, + 108186146, + 452070576, + 92387170, + 331156868, + 275245877, + 296416839, + 936640360, + 685831130, + 868812989, + 915596066, + 678972807, + 754249988, + 406167568, + 160681810, + 660958811, + 801603577, + 947578752, + 502651831, + 912770141, + 437664415, + 627559790, + 315623856, + 263278599, + 56070131, + 926167700, + 147350937, + 601383020, + 621413940, + 343087776, + 251881850, + 525406698, + 265803238, + 471572691, + 637436028, + 587102849, + 363901548, + 590504900, + 891306181, + 366371033, + 325488875, + 667100227, + 516704324, + 16879300, + 362378545, + 190040034, + 540504494, + 975343646, + 234430331, + 815218222, + 461693743, + 820876620, + 144793822, + 142995887, + 456319093, + 132922305, + 752114655, + 767188848, + 95934703, + 613972664, + 834423381, + 918805792, + 235493147, + 72559876, + 209897844, + 992815670, + 138900484, + 292876180, + 315567952, + 947986497, + 950650058, + 380468913, + 419365845, + 717698624, + 130401724, + 615955603, + 295089303, + 139727018, + 859088438, + 495165904, + 641635218, + 646776510, + 25275977, + 568932960, + 915466186, + 177263414, + 123119015, + 222808544, + 601531433, + 320686271, + 38657674, + 33341563, + 540484864, + 176427122, + 478048767, + 711210909, + 96693174, + 555230597, + 218650209, + 999282939, + 826849027, + 720295236, + 211238214, + 52698506, + 613914477, + 194109098, + 876710066, + 740138593, + 609597647, + 829699314, + 193911959, + 600063819, + 914668029, + 402069880, + 504001455, + 831306027, + 495271578, + 642362942, + 545055197, + 322599862, + 921843493, + 104401477, + 244222994, + 865026305, + 482608882, + 279862423, + 164476967, + 736868035, + 188542687, + 760615120, + 14413673, + 847067883, + 913467119, + 673951911, + 492066128, + 907837021, + 836633958, + 312762616, + 929953324, + 860290954, + 174302586, + 306718652, + 556027318, + 691973675, + 907135332, + 198313673, + 884292464, + 829716890, + 447890050, + 341940186, + 560612745, + 541737591, + 726742527, + 335317368, + 822330113, + 875628287, + 17438720, + 828233949, + 416362631, + 214929144, + 3655356, + 164785001, + 267643460, + 654887575, + 894986394, + 102336681, + 507531493, + 447079009, + 722100891, + 20397053, + 17640550, + 565513073, + 555350345, + 592767495, + 428176895, + 242137443, + 476998216, + 623941632, + 297492083, + 579885130, + 748672385, + 936813735, + 146638073, + 476767361, + 834389850, + 658253321, + 50349432, + 659061798, + 67496531, + 470026459, + 193340410, + 514301136, + 298893713, + 578774448, + 138473231, + 703492494, + 60103250, + 898739995, + 926685585, + 423813353, + 175530585, + 680684771, + 39364359, + 283130905, + 940338496, + 113125389, + 157570241, + 47994871, + 832795239, + 5287096, + 684437057, + 615554685, + 96208823, + 761568288, + 923726072, + 995358813, + 452670317, + 371753118, + 511939459, + 965163604, + 226371662, + 20183866, + 577406537, + 115436603, + 615331239, + 632008506, + 949151680, + 460183828, + 833132391, + 318461745, + 839343205, + 269025128, + 968404852, + 821455476, + 211957250, + 158729405, + 659098138, + 425183001, + 161100921, + 286700588, + 950509483, + 178645800, + 748229213, + 890509064, + 57207506, + 623516070, + 708365332, + 88099293, + 518176507, + 700815364, + 332104718, + 697974528, + 899117691, + 403656851, + 238124293, + 177788700, + 654046185, + 210279692, + 53715410, + 478439060, + 145821513, + 897727942, + 854418278, + 413765749, + 132758185, + 476540988, + 315307553, + 848485705, + 315803239, + 10390200, + 308922453, + 815043257, + 712833573, + 283271309, + 525858563, + 427009938, + 46003245, + 915641768, + 225010458, + 191377149, + 444792935, + 664680927, + 737914454, + 477515571, + 635590664, + 835569692, + 7152073, + 501997554, + 13932364, + 471668042, + 86511176, + 756563600, + 837976086, + 755841568, + 813963085, + 553473580, + 715181114, + 953336989, + 273765479, + 675197462, + 520153248, + 641267624, + 463850910, + 586355695, + 434218453, + 613107372, + 794543421, + 1020046, + 645121407, + 384033994, + 855521433, + 838143419, + 319343479, + 577747873, + 839795879, + 393362941, + 516893158, + 82301763, + 290362167, + 856685045, + 247905434, + 324047179, + 680227096, + 397059343, + 278976432, + 661203055, + 206890045, + 747767444, + 263966943, + 524255474, + 422212147, + 816669601, + 237991583, + 26848067, + 242694713, + 154316093, + 945187521, + 724032888, + 148203675, + 795503055, + 45531841, + 240922095, + 400387137, + 593490876, + 410802113, + 605077910, + 467869353, + 114769798, + 643420920, + 768644737, + 604600101, + 198026422, + 901107088, + 966098664, + 497700068, + 984510086, + 616658039, + 394513213, + 246638263, + 663153727, + 617467370, + 562945366, + 265218043, + 847516105, + 279492707, + 836617384, + 425971442, + 367691207, + 887841400, + 503666251, + 829708904, + 616201951, + 185966599, + 292534372, + 460296313, + 246522171, + 649891094, + 888886999, + 528523662, + 517663184, + 785897101, + 988035429, + 486120222, + 158370017, + 247343432, + 99206430, + 892283992, + 569724163, + 377857525, + 647734522, + 409790203, + 322352773, + 846730733, + 176163705, + 993413861, + 155232264, + 654867959, + 723801216, + 259419176, + 905445859, + 672697451, + 40399767, + 43603995, + 220183154, + 294954692, + 849566077, + 792790812, + 303040515, + 517692657, + 22080115, + 53469171, + 860233062, + 611713004, + 740257910, + 21628858, + 672580967, + 7593955, + 638089828, + 778416092, + 457271664, + 713404687, + 901144298, + 900535664, + 40531342, + 475392485, + 198767070, + 124663139, + 717919240, + 934132322, + 536521176, + 680046757, + 592662421, + 997223762, + 119524533, + 664899813, + 760523929, + 201051606, + 311331045, + 415806946, + 753830269, + 412496812, + 147548382, + 608368035, + 194579471, + 116084263, + 986062917, + 999940801, + 437534855, + 38449069, + 54384647, + 612885065, + 733918673, + 169794969, + 374219835, + 348546857, + 723290481, + 180481761, + 22538372, + 549259245, + 736514491, + 833803556, + 359241938, + 514046896, + 307173066, + 538026579, + 544430343, + 272220015, + 617060573, + 966698457, + 105510039, + 659930004, + 506529112, + 832853879, + 220941040, + 926095080, + 499825836, + 296781069, + 140097163, + 918958313, + 92814395, + 892839224, + 115154020, + 1669334, + 645032602, + 668333186, + 494717080, + 501577952, + 89370274, + 648260252, + 147084787, + 23125469, + 371742017, + 488512437, + 196656685, + 609167227, + 37884310, + 768020659, + 36765915, + 428090371, + 299611919, + 966056617, + 595916781, + 27992170, + 110187565, + 347338454, + 296106245, + 499376143, + 190262380, + 976364813, + 388733277, + 20458164, + 836844912, + 675424168, + 440540651, + 260987632, + 197538201, + 65570069, + 938318065, + 208066606, + 72169826, + 898198784, + 739976140, + 67660710, + 552462689, + 211721968, + 319356794, + 823296503, + 348843836, + 317729328, + 591876466, + 351571143, + 33153205, + 206665763, + 21316827, + 722227926, + 128141207, + 554926784, + 94943272, + 440968713, + 560071080, + 501315404, + 901560510, + 661041883, + 284158196, + 163010720, + 796978096, + 484608235, + 185460979, + 582897248, + 6416710, + 143436971, + 226260741, + 196744862, + 607171540, + 703420602, + 4245468, + 606075394, + 402308263, + 719825292, + 671348888, + 758684337, + 745097348, + 497264234, + 697604287, + 918632439, + 530980022, + 436519731, + 308544879, + 824361791, + 994845113, + 381649894, + 540073170, + 676718674, + 337866028, + 70966995, + 306918437, + 901227815, + 597622729, + 523582088, + 784340209, + 182599319, + 608561047, + 167502578, + 808823195, + 508056705, + 630383054, + 684401167, + 744330752, + 923247274, + 435031887, + 832934442, + 845125429, + 29788829, + 243960280, + 2564289, + 20366529, + 631014583, + 419398325, + 30371791, + 166766004, + 133463985, + 363355516, + 782464838, + 424939430, + 126855619, + 22290180, + 389086101, + 420461061, + 556955553, + 347296987, + 715918163, + 367337305, + 193271334, + 360722279, + 560316853, + 526316198, + 963878882, + 373568006, + 588778073, + 878633476, + 184177768, + 437611984, + 151562606, + 662198590, + 400701275, + 376594002, + 104522546, + 204970609, + 268843498, + 748551872, + 138635369, + 428116776, + 299090758, + 153409908, + 332571776, + 127147422, + 347901476, + 14256459, + 37963537, + 479191517, + 655348984, + 500056576, + 330696011, + 918953611, + 803887228, + 234725879, + 926686411, + 723567914, + 629879454, + 955939381, + 185983973, + 476720855, + 377389831, + 991736325, + 247774440, + 924339126, + 328944639, + 372139135, + 30746903, + 865619518, + 787362034, + 480309016, + 935344352, + 478254609, + 949604089, + 681367044, + 674086284, + 576288736, + 104558710, + 904907013, + 34398891, + 911766899, + 83583147, + 416672108, + 529401400, + 73099522, + 636709918, + 900779777, + 51034873, + 303489032, + 312083484, + 678253112, + 245506416, + 203461683, + 608974611, + 489270666, + 880036793, + 664203533, + 891661301, + 2804095, + 154192147, + 860905245, + 715044268, + 339761117, + 871997873, + 60780173, + 555715589, + 135230786, + 306651561, + 275955609, + 406290494, + 682069929, + 709184634, + 719736247, + 796253432, + 574436903, + 445152394, + 707521650, + 372432375, + 414457367, + 433570691, + 723731401, + 348107849, + 571509039, + 243727678, + 835106433, + 753936018, + 411762019, + 116215490, + 15286026, + 147017079, + 231273084, + 266864420, + 197777750, + 427271733, + 115058887, + 401850615, + 575254191, + 336069694, + 174508222, + 51115836, + 720492340, + 535245458, + 735194248, + 575313530, + 827544079, + 250287243, + 789442265, + 968220057, + 886013656, + 718398043, + 829456253, + 253086529, + 480935146, + 864334124, + 370801299, + 500981434, + 89885000, + 674332296, + 91766048, + 237234052, + 114787108, + 628054285, + 616895300, + 308803462, + 141604843, + 510611067, + 211800585, + 258383305, + 538507370, + 612943068, + 127418360, + 980299367, + 571271532, + 817651130, + 635872327, + 660018072, + 680017800, + 270785276, + 588694653, + 993937037, + 91729047, + 138614043, + 64300901, + 436153885, + 856311564, + 307281716, + 786197757, + 492466916, + 55150247, + 637799827, + 291737391, + 306197395, + 334367952, + 675096250, + 535171341, + 35105564, + 326509034, + 702092213, + 611975464, + 503028040, + 188087380, + 79929325, + 407336906, + 671889287, + 593162842, + 416030260, + 615719523, + 807960229, + 661744918, + 838316273, + 859436071, + 871569305, + 765501855, + 154840577, + 755001489, + 666144786, + 348068997, + 488998370, + 779700427, + 38345468, + 643262701, + 509498174, + 905227375, + 491183951, + 492630548, + 153139353, + 343069959, + 801976972, + 214053804, + 248791388, + 866214699, + 56565399, + 837241217, + 240691769, + 459146758, + 980099187, + 62886175, + 568700650, + 173815688, + 96921164, + 708626879, + 31965500, + 512687679, + 65574023, + 742231721, + 915559680, + 48437455, + 933204085, + 763225172, + 912261891, + 948090827, + 798084292, + 916916547, + 966707075, + 700065856, + 210963937, + 379571648, + 846978766, + 584864532, + 609231764, + 440655051, + 304524379, + 633927846, + 46738658, + 995320932, + 249110868, + 187847220, + 953313517, + 687579615, + 81877344, + 583342271, + 158410804, + 703290615, + 639023995, + 633534132, + 181582285, + 151382978, + 503011822, + 292627432, + 684530370, + 933886687, + 733544460, + 628909297, + 347942319, + 263637585, + 119755559, + 593479292, + 398855628, + 105944223, + 89829342, + 214384316, + 547082276, + 996952400, + 889476017, + 986820801, + 234525462, + 714726030, + 94573995, + 194287341, + 551523039, + 293993938, + 17407829, + 998186221, + 970015319, + 26562866, + 732571879, + 83384526, + 336824733, + 880008609, + 6622283, + 907851385, + 368392612, + 641240987, + 559465269, + 245794340, + 872751952, + 254004691, + 899144520, + 413399243, + 398787510, + 702464228, + 205930289, + 971317457, + 995311038, + 896068555, + 94604044, + 506439332, + 4525421, + 890487787, + 239714593, + 890155884, + 222936380, + 809794957, + 297886483, + 835627849, + 794298185, + 99599752, + 497008734, + 40062579, + 423568794, + 454486976, + 726158391, + 372636689, + 893360805, + 549443150, + 349026482, + 172818696, + 134885415, + 119273865, + 909085311, + 606264296, + 902540145, + 982598355, + 318240682, + 620338598, + 346495516, + 961879071, + 89684885, + 879138238, + 611780731, + 477956795, + 333558486, + 419188555, + 119388611, + 719705490, + 694641619, + 952629301, + 500380852, + 484546615, + 658112594, + 174919436, + 573291294, + 341425267, + 692242050, + 728369704, + 758897235, + 952828418, + 47038124, + 911226302, + 82407010, + 398127652, + 79199623, + 848207030, + 44380156, + 131701140, + 823792444, + 99469898, + 936544572, + 440532809, + 366109597, + 997718003, + 857979138, + 356885468, + 777226787, + 482696700, + 572259390, + 965415114, + 543433947, + 119446161, + 45117111, + 653442769, + 38738629, + 548170071, + 501933239, + 989020890, + 953294315, + 537852787, + 288745347, + 570444267, + 971852376, + 289254684, + 243671291, + 618595801, + 588800025, + 511757513, + 991094535, + 951827228, + 205056252, + 655644882, + 844425358, + 740018699, + 741723617, + 740002077, + 710375996, + 352206755, + 956311673, + 596690368, + 234503169, + 678998720, + 109002451, + 167801007, + 773253513, + 814689089, + 674771042, + 584694066, + 952677528, + 130863541, + 946278786, + 677130471, + 740412761, + 194400645, + 650638869, + 400921381, + 63069315, + 959653202, + 484328420, + 241037160, + 366140585, + 934482926, + 721207660, + 723063889, + 215537287, + 587615651, + 918480568, + 452333009, + 739135417, + 390158764, + 838528392, + 553033667, + 547211375, + 540822338, + 940535392, + 46220202, + 285031622, + 72870692, + 599207803, + 14585891, + 553246034, + 558183089, + 268556482, + 737129481, + 764631959, + 330139990, + 67377040, + 735108123, + 750782183, + 759727687, + 924062618, + 849391813, + 572756593, + 557649511, + 455922732, + 165157339, + 843974048, + 160778373, + 169566099, + 697068715, + 31647665, + 824052043, + 287114112, + 46339934, + 550050885, + 382928114, + 108420237, + 674746580, + 252223926, + 123376108, + 567829532, + 327638670, + 790945042, + 308170094, + 445359262, + 235548571, + 243118513, + 148520842, + 659086789, + 668026880, + 379705513, + 932170970, + 307716568, + 855175467, + 395296817, + 639190883, + 653049225, + 97595854, + 791793633, + 544709389, + 193103137, + 219425975, + 735281959, + 243703471, + 763306041, + 374483666, + 838369298, + 992498978, + 639253473, + 547803011, + 383639031, + 245043948, + 844625039, + 316841306, + 320509026, + 754159067, + 400823942, + 973800626, + 429805070, + 122863771, + 850691829, + 865749942, + 115080483, + 275585674, + 228440964, + 137638545, + 465947545, + 975058262, + 264397549, + 713118066, + 941935905, + 7593033, + 494206785, + 575556865, + 281494797, + 992266180, + 596692491, + 347542292, + 798232030, + 305703874, + 474844267, + 209109326, + 498423357, + 330877418, + 723179561, + 337868996, + 7452623, + 831131930, + 202967560, + 335142427, + 809752833, + 859484418, + 632073917, + 996965058, + 741388417, + 652402396, + 287151310, + 31409926, + 875119226, + 9319459, + 296527219, + 868966899, + 195642491, + 689040885, + 299528237, + 324724001, + 306848304, + 139417170, + 843523579, + 240097071, + 993376313, + 456123381, + 15020355, + 925721671, + 29088463, + 64445687, + 585354243, + 633012089, + 940581352, + 511083292, + 18657706, + 196808956, + 595429931, + 883385386, + 634260849, + 261144832, + 26356571, + 336735998, + 337647088, + 865752521, + 849825310, + 382497617, + 453776525, + 72407340, + 507099110, + 446874228, + 758225897, + 684068506, + 591438794, + 249431821, + 729983964, + 305490198, + 271178924, + 245641532, + 264983633, + 374335978, + 370677796, + 670035326, + 132836486, + 291274670, + 362778590, + 62781286, + 563991464, + 49998203, + 128594057, + 414695656, + 234876667, + 351287459, + 954446844, + 635466718, + 654372788, + 61324826, + 668988704, + 378260576, + 93829519, + 770211287, + 964598146, + 977534326, + 936017378, + 540114112, + 587751274, + 486934700, + 961627845, + 304504072, + 753996992, + 112363365, + 364301282, + 980794915, + 36930460, + 636529782, + 758986689, + 836519912, + 21742302, + 117727023, + 331393166, + 183904635, + 928243868, + 401250250, + 678955563, + 594345092, + 908009695, + 261793282, + 887020965, + 401664969, + 791403188, + 83576262, + 102538832, + 298658588, + 882017163, + 609462730, + 912228499, + 90889578, + 680638849, + 705817768, + 977596314, + 87056142, + 869370708, + 435535481, + 23848002, + 264344942, + 862681715, + 212396864, + 925052164, + 170524036, + 3645807, + 189267013, + 74596197, + 418544773, + 628845578, + 877730725, + 39815300, + 151130790, + 337863074, + 916178421, + 552938533, + 289215807, + 621689275, + 775609286, + 312392128, + 779997964, + 739778818, + 756016200, + 289064309, + 128222212, + 391722406, + 498593025, + 819706441, + 75885901, + 497954257, + 777133448, + 351412775, + 161810140, + 226766222, + 41810522, + 979702354, + 888925399, + 851147738, + 503595926, + 675389332, + 399814273, + 804326985, + 266357228, + 71241623, + 161342573, + 271683228, + 623009996, + 607989034, + 64734153, + 297862084, + 515958467, + 423902678, + 843213037, + 84695643, + 48509604, + 138072235, + 495758895, + 524797466, + 567255076, + 934241597, + 34827542, + 297850098, + 73952001, + 383326568, + 129158754, + 21640925, + 144498584, + 98480378, + 410237571, + 626839123, + 117557783, + 39545461, + 720844289, + 805063465, + 270447093, + 913731074, + 715238001, + 588822135, + 201956343, + 180662181, + 964856668, + 317033667, + 768209155, + 949143379, + 668248565, + 641033297, + 356495854, + 580365767, + 288875043, + 391789824, + 258976123, + 886103524, + 482337620, + 473086104, + 816334415, + 949737667, + 768727236, + 977207608, + 189287698, + 190603024, + 514142475, + 633973954, + 977077483, + 418768023, + 307928665, + 659870404, + 212307058, + 755779302, + 161847536, + 924725543, + 813681466, + 750422338, + 487929323, + 929630104, + 483752278, + 33049920, + 398334893, + 26510537, + 765781294, + 569238289, + 520203927, + 846247476, + 334137773, + 203398137, + 345801643, + 807522726, + 766675351, + 703884431, + 123873030, + 541713672, + 634185667, + 969083505, + 723861133, + 443875298, + 576881629, + 554610568, + 815609257, + 138261723, + 923210809, + 535907730, + 636715143, + 916857974, + 315843936, + 154315421, + 353531911, + 303980333, + 165665766, + 163117359, + 425984064, + 583264162, + 462889545, + 905945735, + 460259903, + 792109269, + 246864269, + 399696160, + 670467552, + 854048077, + 794575679, + 976189174, + 554584260, + 237391658, + 435791467, + 759577329, + 121232721, + 439697792, + 654175144, + 100121694, + 781478076, + 172713757, + 913699543, + 17749901, + 546062547, + 182479739, + 917053535, + 891613160, + 348009709, + 378407148, + 948299090, + 465355362, + 548564148, + 239068902, + 213045242, + 123278644, + 676705310, + 583021430, + 445663841, + 968459098, + 138037680, + 852333026, + 569115566, + 23369747, + 475631191, + 346387693, + 92243116, + 52686098, + 220225424, + 355338546, + 538382909, + 230078507, + 431703849, + 360649226, + 877600660, + 502582596, + 744810400, + 544680460, + 222101509, + 820807599, + 106703200, + 956122749, + 153981991, + 576784618, + 44777979, + 3288094, + 575610203, + 353087029, + 479790647, + 984123426, + 345744741, + 837557881, + 966564975, + 286608254, + 970480634, + 309795204, + 771091986, + 697487348, + 749486992, + 851603872, + 587868672, + 694634692, + 189246182, + 350915293, + 550999163, + 141184329, + 517918298, + 469829117, + 12680272, + 629720303, + 199756372, + 837379094, + 322722637, + 700555176, + 943294563, + 187275840, + 272702244, + 694606634, + 229449324, + 719152162, + 527827402, + 385830250, + 81040086, + 669988275, + 756289420, + 113468980, + 29560874, + 331240777, + 767866754, + 375661873, + 346032423, + 893772581, + 327538816, + 272730742, + 180560508, + 39063572, + 907197783, + 793169391, + 653432866, + 478904006, + 181037367, + 899760775, + 801153391, + 390936959, + 793905204, + 717898632, + 855439175, + 835291830, + 701181615, + 213083997, + 762796196, + 831381123, + 60260588, + 416062411, + 977601748, + 48708968, + 923696777, + 51008002, + 869853341, + 297251993, + 592001279, + 696404820, + 748398586, + 757458696, + 664293888, + 692711084, + 594753332, + 925696339, + 841892500, + 149667549, + 375416295, + 868321652, + 11958256, + 101836524, + 107004414, + 747332757, + 490589501, + 356604511, + 230840611, + 779565557, + 711023894, + 374292417, + 6888410, + 10514769, + 874923659, + 303479804, + 583204698, + 421474231, + 35461899, + 733696213, + 514277466, + 321026889, + 796038404, + 699710401, + 662435100, + 45985020, + 40121939, + 161982429, + 183904178, + 533086005, + 216477093, + 38423014, + 615288841, + 73828842, + 378208598, + 406069857, + 64178655, + 460002841, + 274421965, + 835814694, + 296867364, + 185992749, + 176780637, + 492536082, + 585826605, + 152731180, + 299550027, + 334869202, + 172492536, + 931207928, + 400712754, + 731716179, + 84594932, + 270027634, + 124138919, + 101399511, + 278925415, + 564169655, + 100624546, + 764055386, + 775449079, + 746944776, + 856115239, + 127656587, + 550324711, + 116976197, + 921933056, + 82058154, + 374548515, + 623426022, + 197643794, + 654948717, + 177667753, + 294562379, + 413206787, + 195312372, + 17990018, + 771785827, + 715197471, + 303110093, + 390477336, + 70280597, + 362354153, + 936883994, + 88926799, + 88271662, + 210017593, + 186273692, + 473678617, + 8917116, + 295039044, + 655329686, + 943736253, + 538866775, + 779378472, + 208022165, + 46411408, + 626143454, + 161206589, + 333948047, + 610214655, + 432623858, + 865448034, + 584783817, + 735537679, + 170744553, + 814844570, + 97099798, + 109057876, + 482097351, + 666592015, + 606430886, + 451411733, + 18656267, + 803207798, + 456575295, + 155762867, + 842221391, + 340066485, + 390859269, + 877383132, + 501194417, + 630751942, + 311578334, + 549694738, + 241015043, + 360819906, + 981099651, + 122329593, + 728620134, + 620111007, + 674338897, + 584352950, + 371152544, + 45739191, + 235973054, + 163047210, + 350296370, + 938907915, + 103558668, + 281063488, + 719525035, + 186289364, + 304671628, + 77846650, + 619529922, + 445312994, + 370513136, + 627853863, + 915863339, + 388136827, + 148178928, + 118675349, + 589559146, + 709374322, + 29046359, + 207184442, + 421614262, + 571173393, + 996999216, + 201548028, + 34977803, + 338975242, + 422018112, + 923490047, + 429092178, + 280316830, + 921449849, + 329563533, + 893080485, + 729979187, + 148010000, + 28072732, + 278397406, + 914987775, + 161635896, + 592093844, + 828455108, + 634049660, + 275960547, + 604588867, + 539169729, + 162512590, + 735439079, + 767162671, + 454331093, + 941842608, + 691250441, + 874844862, + 236488201, + 295588767, + 776202478, + 147640403, + 832183408, + 150364629, + 656498863, + 786882467, + 106018038, + 44014229, + 324107588, + 711122323, + 582844570, + 841300476, + 323180341, + 46981865, + 802384313, + 294049674, + 607464493, + 82548850, + 414376626, + 765350423, + 222150314, + 770451120, + 322320766, + 432231114, + 310449255, + 908654734, + 198007268, + 639868488, + 437560953, + 731759748, + 588203707, + 688352256, + 266739643, + 414511254, + 248858682, + 381464397, + 192418237, + 269026368, + 194448311, + 924212743, + 507413382, + 422370217, + 831145461, + 576328181, + 112747847, + 7865546, + 920968819, + 294622308, + 309057742, + 540353875, + 728611328, + 443204132, + 45848007, + 38489785, + 196535267, + 443068511, + 526990794, + 663953718, + 77513005, + 645475018, + 755048298, + 675197796, + 366369044, + 598640143, + 619043494, + 488733124, + 688426316, + 111193688, + 231425791, + 183341843, + 716716540, + 502992386, + 152795518, + 781344756, + 436658406, + 321260580, + 892357972, + 714965045, + 536527256, + 661208371, + 659720095, + 591157269, + 810419991, + 317909271, + 33531219, + 759818806, + 670719810, + 461801784, + 443719651, + 823957255, + 868673953, + 675459829, + 412548998, + 339161234, + 46805176, + 587687150, + 983512154, + 840547438, + 285783998, + 241104924, + 59686202, + 546441718, + 626116793, + 812294585, + 797389015, + 917879336, + 44503950, + 308556441, + 636731104, + 220790106, + 323285683, + 383694865, + 166324805, + 690725662, + 315346127, + 358411002, + 322549766, + 880369824, + 129889095, + 366765895, + 504147994, + 606764823, + 914721706, + 7398589, + 998846607, + 612329302, + 18091262, + 921318624, + 741972518, + 502281651, + 194196286, + 327765225, + 185800077, + 237051549, + 111393562, + 745059228, + 833130819, + 211095503, + 634277700, + 244002354, + 560696185, + 848935838, + 382843033, + 357278003, + 649331897, + 219893898, + 728063519, + 120271831, + 295472083, + 25079353, + 268926476, + 344021173, + 169678146, + 975538923, + 9032007, + 137496496, + 356045166, + 544757287, + 330822484, + 950308613, + 84953750, + 703842091, + 781762770, + 854238852, + 613311760, + 322172867, + 468062724, + 693331404, + 350646734, + 803224052, + 704397952, + 512141909, + 419016142, + 38692978, + 659025690, + 38830520, + 836158070, + 995498534, + 164019865, + 229851653, + 77333295, + 482051567, + 200554771, + 422152368, + 748694059, + 868085754, + 164037222, + 656309841, + 890660765, + 260551617, + 852599137, + 773489216, + 336262588, + 292944997, + 76626902, + 570610493, + 881226487, + 417660601, + 502500087, + 165706491, + 560328029, + 26363355, + 596369154, + 171691966, + 314673153, + 897360718, + 922064751, + 440384156, + 993345165, + 421741134, + 261212731, + 569787882, + 40518085, + 345517012, + 927591966, + 863974782, + 856100760, + 324445435, + 501709412, + 733855591, + 595165462, + 851549665, + 833485632, + 608897633, + 39334093, + 641452582, + 135813115, + 717426384, + 973481355, + 696759493, + 602957670, + 687502545, + 266714610, + 573584016, + 78678407, + 396593827, + 589368010, + 326570276, + 182339910, + 405796502, + 620392282, + 906042067, + 992982272, + 979005061, + 709193702, + 281092031, + 473430072, + 591445429, + 878619911, + 666336907, + 221578948, + 254519201, + 422051275, + 466401908, + 815091455, + 544758592, + 346978033, + 310182341, + 658859074, + 410138301, + 914606511, + 527137172, + 504838568, + 361676942, + 737666945, + 158120835, + 405066896, + 639207709, + 420334803, + 476543625, + 538302495, + 744609572, + 565845387, + 868655433, + 564997925, + 941188460, + 281360055, + 417874935, + 510230137, + 812478435, + 619936385, + 208803220, + 466184000, + 370581880, + 962929043, + 10098295, + 237710701, + 452536679, + 641503329, + 363854061, + 458954230, + 505190210, + 159453231, + 341666089, + 997485490, + 675177824, + 9654666, + 762010718, + 213302796, + 579766030, + 788740823, + 295273855, + 725883142, + 104724655, + 621797573, + 330246116, + 74380411, + 103379362, + 915454016, + 137927424, + 862058143, + 9217396, + 522555888, + 798652790, + 367873928, + 200170735, + 565650568, + 865722312, + 267238412, + 25000728, + 856364469, + 813972861, + 694363077, + 139121707, + 211579708, + 601395610, + 503557733, + 769496101, + 693179641, + 48047359, + 466998202, + 18549990, + 900944339, + 87186498, + 901898147, + 874663700, + 581726955, + 57381273, + 384326840, + 118792183, + 267422300, + 737513091, + 1673791, + 712741603, + 778866979, + 830087227, + 168341695, + 22451972, + 422464357, + 816521070, + 785606429, + 70101470, + 668499892, + 286402479, + 773283615, + 200566839, + 330032557, + 252848342, + 770200903, + 703202841, + 477598901, + 876344525, + 782747962, + 121593342, + 423075188, + 174753167, + 336541407, + 979341468, + 116192292, + 51813357, + 255941034, + 798219333, + 737548673, + 674982490, + 851184496, + 64169224, + 130821456, + 995642022, + 549269646, + 740033922, + 341608247, + 125957279, + 233646173, + 237063735, + 949551915, + 433355380, + 514872954, + 830677573, + 693679763, + 700648574, + 72261095, + 9612242, + 484790378, + 70035443, + 470257148, + 194274107, + 40611221, + 778652187, + 99176294, + 21348349, + 198913019, + 876912404, + 700907330, + 577488375, + 168046264, + 639349239, + 56415561, + 114470778, + 275415578, + 162984811, + 793508285, + 330741348, + 450025522, + 193407300, + 962554720, + 896445440, + 934075192, + 351457674, + 147786517, + 659318098, + 321504728, + 770948002, + 705786938, + 597113890, + 676562851, + 820158972, + 768003710, + 223006262, + 26267736, + 331790174, + 264555158, + 278473456, + 654645457, + 321828187, + 213362161, + 234603615, + 137339665, + 748326446, + 782826454, + 721400140, + 293563326, + 227948240, + 333921407, + 656178134, + 957736994, + 965788998, + 975115241, + 380832798, + 377829801, + 8529762, + 237324959, + 2491038, + 982305035, + 26838784, + 285903646, + 973566180, + 150875297, + 136201332, + 657952633, + 68463910, + 350537860, + 247056371, + 763887639, + 461867105, + 913483919, + 691771237, + 767994698, + 193173470, + 903317726, + 729410896, + 228257154, + 169828878, + 226391126, + 320027954, + 547672121, + 472753065, + 959231222, + 310891319, + 624278109, + 75844588, + 238287172, + 583523232, + 537567468, + 708083578, + 560331808, + 685474188, + 166788148, + 823873335, + 869147558, + 952914294, + 528995915, + 649072740, + 634851779, + 980004540, + 511154182, + 252867703, + 221314097, + 347653273, + 91246712, + 301627535, + 591521456, + 577844972, + 773613478, + 81404825, + 275344645, + 246264040, + 473042974, + 685092659, + 677062329, + 969388423, + 754119136, + 47798720, + 924245858, + 447118416, + 581152063, + 652134340, + 125386500, + 988932588, + 96773876, + 457424102, + 894543525, + 381015787, + 268371255, + 539213654, + 165739841, + 107362182, + 655586385, + 487408855, + 837636509, + 93797859, + 597409802, + 62443767, + 53854118, + 889523522, + 813380317, + 41999690, + 428404381, + 78850539, + 587905971, + 188491176, + 733212436, + 420673705, + 280815020, + 240706289, + 486139591, + 679542839, + 760174466, + 962237249, + 611893687, + 889967068, + 638835881, + 893396210, + 129740952, + 75436709, + 680615210, + 293351780, + 57444098, + 304127551, + 106389804, + 374499615, + 216348081, + 690839620, + 439949845, + 338726038, + 864638532, + 320996580, + 420720273, + 301225863, + 50924307, + 918750369, + 527985804, + 413900299, + 72980712, + 250446955, + 456425406, + 311928624, + 611264145, + 64653101, + 53141676, + 390277773, + 253867013, + 843248491, + 564596423, + 338597031, + 589929655, + 730856601, + 777642183, + 686570097, + 984187843, + 559475472, + 947212965, + 792636361, + 428604843, + 562038006, + 207099603, + 608663954, + 788440291, + 203046907, + 866750296, + 841929807, + 128465925, + 706431626, + 786608379, + 610905143, + 197775914, + 264178956, + 679926802, + 627902295, + 878031322, + 975280916, + 299558479, + 336876619, + 844495477, + 691717459, + 543571157, + 509386487, + 24217262, + 627638381, + 127289052, + 492643143, + 2141566, + 734525065, + 675471864, + 253203213, + 191583088, + 248121575, + 571410940, + 510654243, + 198911528, + 520403733, + 34470506, + 481195397, + 283978720, + 304284951, + 818501300, + 755491402, + 616167685, + 960985571, + 167844067, + 69489618, + 115517223, + 318086233, + 232340057, + 883095378, + 410209177, + 404723381, + 200825899, + 365790913, + 842173353, + 168514405, + 379878447, + 535470158, + 601436505, + 782775711, + 222728212, + 93003591, + 290680615, + 577777854, + 461443927, + 997661957, + 827059267, + 222424238, + 970741470, + 140221610, + 206884084, + 510989527, + 801571951, + 668501487, + 218104412, + 523963227, + 349513369, + 324573817, + 32499887, + 610058419, + 28541809, + 193810162, + 706393275, + 447742303, + 927474462, + 56310162, + 223217715, + 605244261, + 78902666, + 310865992, + 683257517, + 340835538, + 848131976, + 435739421, + 671438384, + 372312368, + 763822488, + 263435126, + 273420085, + 674733217, + 421748835, + 218884179, + 790339646, + 896681999, + 423591434, + 799107370, + 788912572, + 50792677, + 73828673, + 976816517, + 324312260, + 28806446, + 26448685, + 579616971, + 77979712, + 206182438, + 556368551, + 313629938, + 587892506, + 637467992, + 196064211, + 507488517, + 728672498, + 571001913, + 318897325, + 118415189, + 697824005, + 142382857, + 688458389, + 342765785, + 222936456, + 823454981, + 912392653, + 893149161, + 245221430, + 791284311, + 496037899, + 953909771, + 877770043, + 772466319, + 371547921, + 696126197, + 106317898, + 457294656, + 748415498, + 522892518, + 577174075, + 200292696, + 580395742, + 390278813, + 906411897, + 711652594, + 402067075, + 522649966, + 821757693, + 907459880, + 91251625, + 353645650, + 261555659, + 402733514, + 262814470, + 442981268, + 823736374, + 39155952, + 203362003, + 263638177, + 197787991, + 625968150, + 414867546, + 650078641, + 932761629, + 541985224, + 918541648, + 471847793, + 184809963, + 308499121, + 413285059, + 315538622, + 855225203, + 523224772, + 341295582, + 540928023, + 26158701, + 779890975, + 979095355, + 86072097, + 100447974, + 650159067, + 642214508, + 663631945, + 943157801, + 972372101, + 766972831, + 221148846, + 861250446, + 477981749, + 767618087, + 869366637, + 693511845, + 278437772, + 541661620, + 603397742, + 7558861, + 717156300, + 436238781, + 974677566, + 317794876, + 708315481, + 777418716, + 369568081, + 843678669, + 229405123, + 757934114, + 514544346, + 921500798, + 989444082, + 270974501, + 280641071, + 212377751, + 845538993, + 566866336, + 237246672, + 464611523, + 899050419, + 479403466, + 276108263, + 977284813, + 752372591, + 610881631, + 364596077, + 685228662, + 594537672, + 128435893, + 916208917, + 879577076, + 56548626, + 669395403, + 364441374, + 420287662, + 181070845, + 955928713, + 884049410, + 798174712, + 687288182, + 337844648, + 73504197, + 521419448, + 358361564, + 599541635, + 39583603, + 936489373, + 873481845, + 358426664, + 465852698, + 760393265, + 997846540, + 502965772, + 786102692, + 768481823, + 159205080, + 169332222, + 506022761, + 977619585, + 384142171, + 418314004, + 224072450, + 2583192, + 235219992, + 560002824, + 158070061, + 318113108, + 876734750, + 450168680, + 221006594, + 792333743, + 58228918, + 814963828, + 430949668, + 823264536, + 417350813, + 164784888, + 978826994, + 197683647, + 892368149, + 73219681, + 383530616, + 159618498, + 45702277, + 206821692, + 828132622, + 923966555, + 951662371, + 67423613, + 445012954, + 818326614, + 22882712, + 95880755, + 656318470, + 113358876, + 568977145, + 233333078, + 905650167, + 356876213, + 265887495, + 693459227, + 680168100, + 814683704, + 722640893, + 482726557, + 716094685, + 784348493, + 271339206, + 691309172, + 629515513, + 747445815, + 243920063, + 820425165, + 688345894, + 77627900, + 276166473, + 738032293, + 652673130, + 25794318, + 525513535, + 25390286, + 269097131, + 714086524, + 967385267, + 865761104, + 489078914, + 207020084, + 964721365, + 727243753, + 216034184, + 155539400, + 436464710, + 425989023, + 527091048, + 404385710, + 912148101, + 189938433, + 49559422, + 620363861, + 888365503, + 259075044, + 704087273, + 614542101, + 812979997, + 109776375, + 872927405, + 143212089, + 52877135, + 710517719, + 246301141, + 755827165, + 712471190, + 894041596, + 346440258, + 326283250, + 937670985, + 637825875, + 833297189, + 725755383, + 463801901, + 154634133, + 887980225, + 126896256, + 8356055, + 41445869, + 267293347, + 166897664, + 803130721, + 882771272, + 94095371, + 595498686, + 145562619, + 763011176, + 204316838, + 642964248, + 43025905, + 27564571, + 574573954, + 491014345, + 457058920, + 784945035, + 430644207, + 997628978, + 372523541, + 321844904, + 222732328, + 607432880, + 350286161, + 692797463, + 34771348, + 280468417, + 318960747, + 441920192, + 418096875, + 786033218, + 352392063, + 783937023, + 411780277, + 116546542, + 152069736, + 900947673, + 94739282, + 992348776, + 482574657, + 594345635, + 461194232, + 817007189, + 217921374, + 559060992, + 769743281, + 767399213, + 145755354, + 783943296, + 190438278, + 786401027, + 580490158, + 386271572, + 898282104, + 244357270, + 374532240, + 108651191, + 722598934, + 583485816, + 484822492, + 553800948, + 761046908, + 469661844, + 513986865, + 388154041, + 26953634, + 708047879, + 911043341, + 477248857, + 676929285, + 350360228, + 1147943, + 745541103, + 580606833, + 944461511, + 762917369, + 89099707, + 973185815, + 831965917, + 147140762, + 189401564, + 798150129, + 81603696, + 953272764, + 415872692, + 739137665, + 96766098, + 896060594, + 966486248, + 338292840, + 748366569, + 348009531, + 281248812, + 502309536, + 374539160, + 784978215, + 406575734, + 42261256, + 642341950, + 447914001, + 630305320, + 908123821, + 477758118, + 144401278, + 901533125, + 714592090, + 311043831, + 728722177, + 234302332, + 543618579, + 743683292, + 115845881, + 945845431, + 289122549, + 290364939, + 742992073, + 309769268, + 586360882, + 116875857, + 966180569, + 681730571, + 677677541, + 74517024, + 334283359, + 376492878, + 446115460, + 340797265, + 185313847, + 425511116, + 197429403, + 977089547, + 867748503, + 249784285, + 527794307, + 182212983, + 840725739, + 251491121, + 28204417, + 162373009, + 814960156, + 480667456, + 917238619, + 885365909, + 601724532, + 460982040, + 944715107, + 354012563, + 562580301, + 627281358, + 493882922, + 146205800, + 720768777, + 358354103, + 748178905, + 66766518, + 958922899, + 63302523, + 560848975, + 283844532, + 413847699, + 13510360, + 894415164, + 570375351, + 270871610, + 143288243, + 204007157, + 983739022, + 118628985, + 664574790, + 215266720, + 568380631, + 750912899, + 993006184, + 782343079, + 239644487, + 513118193, + 676294376, + 452362659, + 722992633, + 273750868, + 623588101, + 933698416, + 465311637, + 265360501, + 702936784, + 802695075, + 925424372, + 947282294, + 826238565, + 880730363, + 169933401, + 742304736, + 193896226, + 426081214, + 985316118, + 648798321, + 585004242, + 801444525, + 730422905, + 94179851, + 609519021, + 31418846, + 354185126, + 559818288, + 73271117, + 521518879, + 753830664, + 560309551, + 33190199, + 734095831, + 707736656, + 912557723, + 953411522, + 548206249, + 515539812, + 520370562, + 557311449, + 580044600, + 345485879, + 263197735, + 971322729, + 639854263, + 663425595, + 871361883, + 686463593, + 216861866, + 48908105, + 454905422, + 802408682, + 645669233, + 366221972, + 858795455, + 213437335, + 678890900, + 820038443, + 89636186, + 391581430, + 550541485, + 73531233, + 242504987, + 690762442, + 344059698, + 318627989, + 542808544, + 963814554, + 863089201, + 97571340, + 889029365, + 211284334, + 75132742, + 21223487, + 411066284, + 31113544, + 294610365, + 758808752, + 891576713, + 265533304, + 111279579, + 705482653, + 621541466, + 739256579, + 826669809, + 76743837, + 149412573, + 480597551, + 937197024, + 82103462, + 647770201, + 739185201, + 415112520, + 285530639, + 926979842, + 497534341, + 732101922, + 115633796, + 364581963, + 200446602, + 869907871, + 88205684, + 730973548, + 559952528, + 38857217, + 830644927, + 236407670, + 828985431, + 715299764, + 738421124, + 872255993, + 446766237, + 609140255, + 205963657, + 197592069, + 811864306, + 837817332, + 318767867, + 134185222, + 381457407, + 759949340, + 771500490, + 202662200, + 81953023, + 311296320, + 986118258, + 656420949, + 651553697, + 765157923, + 565976071, + 522791031, + 562809604, + 175716133, + 534128490, + 932109233, + 565436859, + 827728835, + 993564668, + 429853684, + 629626719, + 971432997, + 736379548, + 319356040, + 440857621, + 442845761, + 770307713, + 79508375, + 4470205, + 238457189, + 203265012, + 910542151, + 598310294, + 998084415, + 938403016, + 975164596, + 641794677, + 859793144, + 482520126, + 946006900, + 307156824, + 806275165, + 482814829, + 704301824, + 669065153, + 907047496, + 493010019, + 451220141, + 248279844, + 867634218, + 787144314, + 641648710, + 457781895, + 473838354, + 304109249, + 667118133, + 389048804, + 569560448, + 53724592, + 829362208, + 384157396, + 375417869, + 585567992, + 541317987, + 391914995, + 258019496, + 313252152, + 610342360, + 255241665, + 123714709, + 654291484, + 698097023, + 441973734, + 438392624, + 151859827, + 952586979, + 297534805, + 951137250, + 523155871, + 105596295, + 990982975, + 865886278, + 495736295, + 532350311, + 18456226, + 507956234, + 296092520, + 454946850, + 325278574, + 294138234, + 976912219, + 558193586, + 345350806, + 970434581, + 573842878, + 139335585, + 339101999, + 247797979, + 580693866, + 581313543, + 8914838, + 851089948, + 170649446, + 485524397, + 781900688, + 788295104, + 68253555, + 362916012, + 452219872, + 999849035, + 255227005, + 800312622, + 802431840, + 192123196, + 323933173, + 865311084, + 782710459, + 418328642, + 371149591, + 197698298, + 980337061, + 643355867, + 430405789, + 677196738, + 381678385, + 528486387, + 11314128, + 505259594, + 374557826, + 592473736, + 405761052, + 504515117, + 636824693, + 552713104, + 619092744, + 322409136, + 398413861, + 150722187, + 715616633, + 179063477, + 330636904, + 823042256, + 300113908, + 105937171, + 5324654, + 737320329, + 483098270, + 223251367, + 779056835, + 944836892, + 750395096, + 568284577, + 750198091, + 545781894, + 810798022, + 846694164, + 662344319, + 100394131, + 426382257, + 86416706, + 63467792, + 4724602, + 398277517, + 273449346, + 47373084, + 553543298, + 628228272, + 187572765, + 769730078, + 887015843, + 809852168, + 508364146, + 116582117, + 547407150, + 272718995, + 217784517, + 720291871, + 286866203, + 834600344, + 104458880, + 502746258, + 144301389, + 157636463, + 895711148, + 222489371, + 680854485, + 99080642, + 243744773, + 145313646, + 44775274, + 330645754, + 929438944, + 774013617, + 894023302, + 119673146, + 279480661, + 23225101, + 880386161, + 400561248, + 236752047, + 483043477, + 880486499, + 323744514, + 353906237, + 522351916, + 774433100, + 825669369, + 260477946, + 493374523, + 241256788, + 372972530, + 95742030, + 287039515, + 698670810, + 603502356, + 657652103, + 649859053, + 912984071, + 743827797, + 702920742, + 968728150, + 365180886, + 522163153, + 490378886, + 969768816, + 164734787, + 544598594, + 187393029, + 727175937, + 253552409, + 101872466, + 123195884, + 528261612, + 225320260, + 154211301, + 922507862, + 531675716, + 466566939, + 802863731, + 800188732, + 329237837, + 579043098, + 313098750, + 837031367, + 728437447, + 629564699, + 310210767, + 452886945, + 104219144, + 631736786, + 768162725, + 777492046, + 9608241, + 553979147, + 271027186, + 960753097, + 191326137, + 587966273, + 589795612, + 332879269, + 414387126, + 764650545, + 519607759, + 119639797, + 88240680, + 77355526, + 122760679, + 458449498, + 628668069, + 631812541, + 266075580, + 264768759, + 698104336, + 374704106, + 932613033, + 310630430, + 832776034, + 65563254, + 542081269, + 719674847, + 908164446, + 3873669, + 912157460, + 21782389, + 778809401, + 361949088, + 177125034, + 952424076, + 194921116, + 595176932, + 757449166, + 809080845, + 676109381, + 186486107, + 83435077, + 476595420, + 235237333, + 529073335, + 840152386, + 61623270, + 173062769, + 38149479, + 68230606, + 847622306, + 392307168, + 284599849, + 617625918, + 400328040, + 738656642, + 588764161, + 797630380, + 410136425, + 906628267, + 722686186, + 817735111, + 436184444, + 474887103, + 165296275, + 272142047, + 790020157, + 17793683, + 140787485, + 61150645, + 126766523, + 708098114, + 539240980, + 226050501, + 864755609, + 764929193, + 562399660, + 872294579, + 79792192, + 261915425, + 848033336, + 460171127, + 495409616, + 196156281, + 288777934, + 763731884, + 257699960, + 338296126, + 144520210, + 196347491, + 988375478, + 784151668, + 34450913, + 686494283, + 60726186, + 384554068, + 671755671, + 305590282, + 939504672, + 950051204, + 746567810, + 778037578, + 449231426, + 958507022, + 309522501, + 445864758, + 569018906, + 320854731, + 616666768, + 910041839, + 328895507, + 51915519, + 156299669, + 632807612, + 888316197, + 366755383, + 795753061, + 764561616, + 239268373, + 144307349, + 261131472, + 602820768, + 285440807, + 759468641, + 266229776, + 89054182, + 465011002, + 489802595, + 536524130, + 448460904, + 497606315, + 532495788, + 643080597, + 951267367, + 924812288, + 994762580, + 715952455, + 941561865, + 680906369, + 965854785, + 224080307, + 263527011, + 827852920, + 197553215, + 264677755, + 404578494, + 209640709, + 14861637, + 796859581, + 584106661, + 349761193, + 562190828, + 899754425, + 989142398, + 733729082, + 927070191, + 173430587, + 265302998, + 489015487, + 204036919, + 337563357, + 743817250, + 880599210, + 773343240, + 204714488, + 624179832, + 535449044, + 512066507, + 47258276, + 722506270, + 196688546, + 679007165, + 881407266, + 459841188, + 20926735, + 677307136, + 755554977, + 203306428, + 939898604, + 508368015, + 168807091, + 573349011, + 295048108, + 749736367, + 220876916, + 826805891, + 132651737, + 820028656, + 962935577, + 928761303, + 493737600, + 311176158, + 783624020, + 832078687, + 547449131, + 954608444, + 987748971, + 730310087, + 127501410, + 376041906, + 12654847, + 663363389, + 549848640, + 187064132, + 128790419, + 193670644, + 526587794, + 635279021, + 772273428, + 439059629, + 668522382, + 857321532, + 331953752, + 659332694, + 126380697, + 357917227, + 609614343, + 79063964, + 650912720, + 311332959, + 358396615, + 303027597, + 615122419, + 727980017, + 497133939, + 443811340, + 988181783, + 611850025, + 298340495, + 21120222, + 971965787, + 569816863, + 129503834, + 635049509, + 483389763, + 204583678, + 671260458, + 522716347, + 630761221, + 363944909, + 534550195, + 18567462, + 632077363, + 264851141, + 813391116, + 988135772, + 522582766, + 339064638, + 27316734, + 210090067, + 551833945, + 267719775, + 568446732, + 644044664, + 749156338, + 366845484, + 393062727, + 647728174, + 700172306, + 258621578, + 880523333, + 802104638, + 345221126, + 484992340, + 987171469, + 246752683, + 545790285, + 67091513, + 50673214, + 565705219, + 125065995, + 906656760, + 310188114, + 170582570, + 568314068, + 351725581, + 244019138, + 565503636, + 106963670, + 127984744, + 578787652, + 575685464, + 765110670, + 931124855, + 992377631, + 75539581, + 92874379, + 24215012, + 137876791, + 42052658, + 692471577, + 690905019, + 90978287, + 406738704, + 570825033, + 90172233, + 72746215, + 563099042, + 654305196, + 605133470, + 585128547, + 348748595, + 901604971, + 144737305, + 117823255, + 978783048, + 310505589, + 228804406, + 297178064, + 974900529, + 748541366, + 540653153, + 685748783, + 484957694, + 968875043, + 980616849, + 354673352, + 408223642, + 145919730, + 912726603, + 230678678, + 855387434, + 900669461, + 935358630, + 139230379, + 206823635, + 487981741, + 181008120, + 106532957, + 614282824, + 757785606, + 980847116, + 394401705, + 335868236, + 924070556, + 540580120, + 342050451, + 634536569, + 460705597, + 34081551, + 300825458, + 695027998, + 11314587, + 138236557, + 794641000, + 520080071, + 741088935, + 241281604, + 548126171, + 188092905, + 508984427, + 18132874, + 138907285, + 259820075, + 592629183, + 865851088, + 461193341, + 240952179, + 296874376, + 160596216, + 194827639, + 926760476, + 176267791, + 451060867, + 383127452, + 709634343, + 312340026, + 164131335, + 902499075, + 857015850, + 421553833, + 927531520, + 763161785, + 325100699, + 975820691, + 476570355, + 566332124, + 952051079, + 26539165, + 576335309, + 487703144, + 47288769, + 681729610, + 509561599, + 206027596, + 579696436, + 866907860, + 174781714, + 713321003, + 293270690, + 936487312, + 656762376, + 888988459, + 41925133, + 404352595, + 584845545, + 112225746, + 899424034, + 187356581, + 584074328, + 244005259, + 815095548, + 158872322, + 492536236, + 358608008, + 14710447, + 285346726, + 622504824, + 223361831, + 157500976, + 291153974, + 427466235, + 422451645, + 916873363, + 684920272, + 19751975, + 690452734, + 321844035, + 728403332, + 207990035, + 116238562, + 955725757, + 628292393, + 983454292, + 200589999, + 365712301, + 319699308, + 722923098, + 559513296, + 457235542, + 161114850, + 549153314, + 390519393, + 78604226, + 487693296, + 602911244, + 993626858, + 807459933, + 636765173, + 103129286, + 381666842, + 619036744, + 868391306, + 127688466, + 688161222, + 97893105, + 112584430, + 607979283, + 34549114, + 859666652, + 536524708, + 482909910, + 953551361, + 973560825, + 597302570, + 554737604, + 411427400, + 921192819, + 506451512, + 733441022, + 71085910, + 277881573, + 738521574, + 842300194, + 767618698, + 192407979, + 628827892, + 145745607, + 157238231, + 696650942, + 69809672, + 97519029, + 219035922, + 975890162, + 349715732, + 976463521, + 390243942, + 481647877, + 259600062, + 441921512, + 238947130, + 354277475, + 904294732, + 83274657, + 668531261, + 725830362, + 643435797, + 149756796, + 235441103, + 457753451, + 827722995, + 350457048, + 994405427, + 393298660, + 637530463, + 992893684, + 346928471, + 101519573, + 73285314, + 740341377, + 651237669, + 184373821, + 783384103, + 547243893, + 153328407, + 22609554, + 570461263, + 359800600, + 719239782, + 971124337, + 800057362, + 299380175, + 474678593, + 357445895, + 555082836, + 373011509, + 561868118, + 519230795, + 239028462, + 202091383, + 932884975, + 224025863, + 953772041, + 363476907, + 225659652, + 999486858, + 229995555, + 198061702, + 91650129, + 707719157, + 163132156, + 766203165, + 507609103, + 304633283, + 666363032, + 325965478, + 693281038, + 572746562, + 278389415, + 156156763, + 44557302, + 71445366, + 834041017, + 266459271, + 544795332, + 562395637, + 922820704, + 494339832, + 148014461, + 731733123, + 257906147, + 821309928, + 866718860, + 952669950, + 213975390, + 977572434, + 40403999, + 111604379, + 272893517, + 176259950, + 984793395, + 928283675, + 123507413, + 415653739, + 234903675, + 41778588, + 100419384, + 165950749, + 697574664, + 622976287, + 148203639, + 907752714, + 700856552, + 741802741, + 761484176, + 934068556, + 399236902, + 505579215, + 901921484, + 213611441, + 82261048, + 785702093, + 467476707, + 427929464, + 140973057, + 832665284, + 2366916, + 509321049, + 271554775, + 194834535, + 853972138, + 986363264, + 362570607, + 938170947, + 653629774, + 519061135, + 954786603, + 894743456, + 810380469, + 76563650, + 381240983, + 90476865, + 797757105, + 568506537, + 792447623, + 808173311, + 870019719, + 581058644, + 51651027, + 10712147, + 604680179, + 324882177, + 730125509, + 553361623, + 454164915, + 656503426, + 570505534, + 761265282, + 238232361, + 166462767, + 504330852, + 74237884, + 701458160, + 377482893, + 135790798, + 538441180, + 46600668, + 655151919, + 360698986, + 300288975, + 807890728, + 342833901, + 280323106, + 829784272, + 18879719, + 993251176, + 260185156, + 749103637, + 555193741, + 182537742, + 370535900, + 853167077, + 881334835, + 354015336, + 193486549, + 107474492, + 627261649, + 93363505, + 200283757, + 932813448, + 514283671, + 732116546, + 69754994, + 203791371, + 6736095, + 818891609, + 753753157, + 933731757, + 221609545, + 448590221, + 717159602, + 56277206, + 942572136, + 404909920, + 742469080, + 309409984, + 68213805, + 976198431, + 415136053, + 69461574, + 741954874, + 584448704, + 752632325, + 557718186, + 957073503, + 920625415, + 756041586, + 943692675, + 50453952, + 333816201, + 791984168, + 638764263, + 639137988, + 393224740, + 124268680, + 861503048, + 328746373, + 860580954, + 825918742, + 632835667, + 759895911, + 736706085, + 76732489, + 183867523, + 471553570, + 479372425, + 894857238, + 619090547, + 608827866, + 504562269, + 750112892, + 483162967, + 524755869, + 889170524, + 959733221, + 1305610, + 393138125, + 498067281, + 140284643, + 264031610, + 378886432, + 139726753, + 836378106, + 103014658, + 523049398, + 230949958, + 101325638, + 629103755, + 327585920, + 829022994, + 832996975, + 281046633, + 542181370, + 890616809, + 8066514, + 989247851, + 305353791, + 506105968, + 728216203, + 578083538, + 173232183, + 475777282, + 580504100, + 992032903, + 418837253, + 614143766, + 498945968, + 455348525, + 790929671, + 948530126, + 574743267, + 51794624, + 560347785, + 944348091, + 518077400, + 431578654, + 551957818, + 421959462, + 534052272, + 231684498, + 205969493, + 586299416, + 877388765, + 978930344, + 32374062, + 806925909, + 400304464, + 118606830, + 669942829, + 190123796, + 649980739, + 374440510, + 264493269, + 623068644, + 857123944, + 501639148, + 138648533, + 589184265, + 700221406, + 579901665, + 680540363, + 400196345, + 972213646, + 628671825, + 154673716, + 91917455, + 255840552, + 983765110, + 314252176, + 691591290, + 355550045, + 611383258, + 356672793, + 100459445, + 485347651, + 837651386, + 985195305, + 652181785, + 44456769, + 702817904, + 592969118, + 743058772, + 84607726, + 614531568, + 227435602, + 905748821, + 988396164, + 825722365, + 202494537, + 988873499, + 641999066, + 260163073, + 784337193, + 850763625, + 770390685, + 407281685, + 390673261, + 228515432, + 481104248, + 840137246, + 18061815, + 422044279, + 245150661, + 432154035, + 218780795, + 746265680, + 665823434, + 496880541, + 57820039, + 243737401, + 124735897, + 246376449, + 809643976, + 764355122, + 484208912, + 584892380, + 531349221, + 445108906, + 110604337, + 829529337, + 256576653, + 413057015, + 825711736, + 74363058, + 99192814, + 158977575, + 36470963, + 368641892, + 359097779, + 256013876, + 621485504, + 779466231, + 28589126, + 152603147, + 791240144, + 451349873, + 470503020, + 792906797, + 532839653, + 494658522, + 282402971, + 716382806, + 80553065, + 905021953, + 132088116, + 9209409, + 70047955, + 128281608, + 352393908, + 737563898, + 145263867, + 762643030, + 289231650, + 954648871, + 888366559, + 813175924, + 92060628, + 790480593, + 439464868, + 541888867, + 443305113, + 521880856, + 600860662, + 916027555, + 629670053, + 224711855, + 877854586, + 78709954, + 340673649, + 1405525, + 986188671, + 178169065, + 548411633, + 811380430, + 54342286, + 151822299, + 200821575, + 458720628, + 86034773, + 221166951, + 912796568, + 249534530, + 207748931, + 58777094, + 385642814, + 657386417, + 348929041, + 704216210, + 793299311, + 866283492, + 223087146, + 101723232, + 610439741, + 956984109, + 235867732, + 991423229, + 424495952, + 381352101, + 161230539, + 481422195, + 650495857, + 143705145, + 681770397, + 928987968, + 936711082, + 973291065, + 37230060, + 944824467, + 401994731, + 895886165, + 697268116, + 991481364, + 313873237, + 337889980, + 357002828, + 384171837, + 861939455, + 82621595, + 516763579, + 153453914, + 688772181, + 595053473, + 532489153, + 977074636, + 804072482, + 220054150, + 903855227, + 879893590, + 261800906, + 213969431, + 553293367, + 168317081, + 702530706, + 983329619, + 477457294, + 1754767, + 166479690, + 667384605, + 936909877, + 104306727, + 445744239, + 451507264, + 517660616, + 230169834, + 703398962, + 930830949, + 89349991, + 73245564, + 117853156, + 10836443, + 842309398, + 581781568, + 771652922, + 261569962, + 125779591, + 543351246, + 994562433, + 463878752, + 479764742, + 181523752, + 933427601, + 436343804, + 325944806, + 835948704, + 330734210, + 261263278, + 155686133, + 108552719, + 398644945, + 683447201, + 762347760, + 890770125, + 2543570, + 822248764, + 681803183, + 99572627, + 39358405, + 741905043, + 885093805, + 26179277, + 832781630, + 783161033, + 605507652, + 745788955, + 727857475, + 397510222, + 367860562, + 799917998, + 757621927, + 674918615, + 399990754, + 902661792, + 745644621, + 274957336, + 732788189, + 655507371, + 170084296, + 473936667, + 652060907, + 30100180, + 647228331, + 912931306, + 110898876, + 32904974, + 263329744, + 295428969, + 955196031, + 235663084, + 867563600, + 160801103, + 781801691, + 147128877, + 949007028, + 154582256, + 28829082, + 190729756, + 584037585, + 220395121, + 28373797, + 612989846, + 367657805, + 671599743, + 770536264, + 652629998, + 322458056, + 553916948, + 602717700, + 327774228, + 807026705, + 907412648, + 341893022, + 760724440, + 436557497, + 350301637, + 468835378, + 326318388, + 812231542, + 686026357, + 618572303, + 863248578, + 561890861, + 331334429, + 593838580, + 381506608, + 379047607, + 28043423, + 341267375, + 563371843, + 662101273, + 180421536, + 780622656, + 391845386, + 370694974, + 854956739, + 897347397, + 79661773, + 575545232, + 834490734, + 328018116, + 419702480, + 315310910, + 907942379, + 13619022, + 502756790, + 752608247, + 241646720, + 881841366, + 652960863, + 970657804, + 67567859, + 940143265, + 515961903, + 308268846, + 356031566, + 384668244, + 616153365, + 475908529, + 939524671, + 507843365, + 779487085, + 588270173, + 390926006, + 853109561, + 177659608, + 93488429, + 277261799, + 571753786, + 999183197, + 6719325, + 834315694, + 299775482, + 930491826, + 696995669, + 350619788, + 981413341, + 865530263, + 494070121, + 77118824, + 586798734, + 840473812, + 145961642, + 300413643, + 975049151, + 432212248, + 87851635, + 617875381, + 781029541, + 255818186, + 802305857, + 552168799, + 387266455, + 942790871, + 213394771, + 368986175, + 801276651, + 283354151, + 199634821, + 260313502, + 44990612, + 999502978, + 437761265, + 698873925, + 184457511, + 454775288, + 547089273, + 340990362, + 13489745, + 634211620, + 849231367, + 5159699, + 404062697, + 69533213, + 97681198, + 638148037, + 268068711, + 632896647, + 272313363, + 940284948, + 960597152, + 652355929, + 545292276, + 326112022, + 344772759, + 105348267, + 911745684, + 601609571, + 750325621, + 111592251, + 886275505, + 39422328, + 17871803, + 839435705, + 980790154, + 811567034, + 312785561, + 992747864, + 817460044, + 815261033, + 248114432, + 276355004, + 922883230, + 683790275, + 785832651, + 838648328, + 345328733, + 691612115, + 352074686, + 294043517, + 805181623, + 669951421, + 959843154, + 568238196, + 633174204, + 144477427, + 503252189, + 393388927, + 74215147, + 36066650, + 544781886, + 293230732, + 519391142, + 83144638, + 640099821, + 228816297, + 350857066, + 631901410, + 717104485, + 944555745, + 923879235, + 98568061, + 967533616, + 437528785, + 902770138, + 164342655, + 977645533, + 430929579, + 121678247, + 222431533, + 396075493, + 579271798, + 432873038, + 800504364, + 36809919, + 56549150, + 729019838, + 387971506, + 854351588, + 625925253, + 621804230, + 90860798, + 754034555, + 851235574, + 779425975, + 737898861, + 91477703, + 56984502, + 871250757, + 1264913, + 21042737, + 788463746, + 364002391, + 309377787, + 292855513, + 925450187, + 668368479, + 267561747, + 281139456, + 595593391, + 298067117, + 508721287, + 317289536, + 148587493, + 613126556, + 229981093, + 279090281, + 296954172, + 900662825, + 121231665, + 920892563, + 652178542, + 805980775, + 46107186, + 544375905, + 40926503, + 254553977, + 823403767, + 619844316, + 240997198, + 491833370, + 547172735, + 631547740, + 12089767, + 994888060, + 851456370, + 575218530, + 509307581, + 517475075, + 104082106, + 297117476, + 457512495, + 174224765, + 192604679, + 102865821, + 794743399, + 942942276, + 887904178, + 739406563, + 672463527, + 235603789, + 710299870, + 846176603, + 25873690, + 387521477, + 880336594, + 234774068, + 583613345, + 764763701, + 347507613, + 949289568, + 684167590, + 116179716, + 207503073, + 466958582, + 378805696, + 998933869, + 537642009, + 966438421, + 852063011, + 910567393, + 213815448, + 43432548, + 433761335, + 62800761, + 625826805, + 383811653, + 249409547, + 744218045, + 573369390, + 928687180, + 712126217, + 45671983, + 809305399, + 821587488, + 959113382, + 20912077, + 300615908, + 633626105, + 479311606, + 339250551, + 624762238, + 342855740, + 383342410, + 684111888, + 259446107, + 544321873, + 901001729, + 554685553, + 496103191, + 758489987, + 14493469, + 399314907, + 151235287, + 601826193, + 327374626, + 340732622, + 688307249, + 157341463, + 936684380, + 118784566, + 855040211, + 718283724, + 667701294, + 657903532, + 531069263, + 170619616, + 70126781, + 290290256, + 68225028, + 517947972, + 105273219, + 608654902, + 265888009, + 672121216, + 612496891, + 486815888, + 763947168, + 387002479, + 217365683, + 772418588, + 202042619, + 142175617, + 443132385, + 593016966, + 26104785, + 699718187, + 152789668, + 525962092, + 833826591, + 810720744, + 416000497, + 244112640, + 301459909, + 702876510, + 444069977, + 191690407, + 215469938, + 781463248, + 882359462, + 391866182, + 535569895, + 656560465, + 431554761, + 935439157, + 273407382, + 640201257, + 201111601, + 660383161, + 760623988, + 337490329, + 195168259, + 671887240, + 441017535, + 453517851, + 713177431, + 75130069, + 388906883, + 912814870, + 753963014, + 517790986, + 941251464, + 463785050, + 444859019, + 46931780, + 847344290, + 298291242, + 857394604, + 792953550, + 607783335, + 568373546, + 965799189, + 144881457, + 546833135, + 679068829, + 738209844, + 52910751, + 925700434, + 640399418, + 286349524, + 681517498, + 85062648, + 24313210, + 726357741, + 177933693, + 250225993, + 298779403, + 809752408, + 721124259, + 529872344, + 883106502, + 856300278, + 293155925, + 322670254, + 451149465, + 588604671, + 643372363, + 700346119, + 932890587, + 138759934, + 478621058, + 745858545, + 39463858, + 850305651, + 401108826, + 469756922, + 863350851, + 703876012, + 327633902, + 10748953, + 245206620, + 974431488, + 530842641, + 541899532, + 922477404, + 88118400, + 49453427, + 571591814, + 787201417, + 4183623, + 95562823, + 757804434, + 377455279, + 254333216, + 281324559, + 575021458, + 478779005, + 919549683, + 704026558, + 945141831, + 873694462, + 798896121, + 181927353, + 958420301, + 754727116, + 655732669, + 886509913, + 553976795, + 336030183, + 300250596, + 141823374, + 274300379, + 912997458, + 115565868, + 425475712, + 963139266, + 540609149, + 355875381, + 171060967, + 653767215, + 18434848, + 927569889, + 160037223, + 721746673, + 283923693, + 575477761, + 740528915, + 567689627, + 143377634, + 798089665, + 117950977, + 62637039, + 785279860, + 127312632, + 58871129, + 802825913, + 468175560, + 979635290, + 706235134, + 883431604, + 762915034, + 955272419, + 26193161, + 995668997, + 30692548, + 247700284, + 222933650, + 104296648, + 125924088, + 963402285, + 972509480, + 603687058, + 517255290, + 167688770, + 532040958, + 293242517, + 893427750, + 781376835, + 219697185, + 527666858, + 450472782, + 872866013, + 47190211, + 254649036, + 531166278, + 349684561, + 814076815, + 454132899, + 411555878, + 297734845, + 212206882, + 914792389, + 554338412, + 890272839, + 902634921, + 464891875, + 823393444, + 783255204, + 363527720, + 998099339, + 754839267, + 780616460, + 336610554, + 917784974, + 555348486, + 412697210, + 347569528, + 554741901, + 479018550, + 342897458, + 511929128, + 303107749, + 348355202, + 848528395, + 434516779, + 844688798, + 51469151, + 92523538, + 388366597, + 332362368, + 791354096, + 733326031, + 960266412, + 600914479, + 157886252, + 872568652, + 484675382, + 108250234, + 118050132, + 941774991, + 468770043, + 535377580, + 766235130, + 459083184, + 708458698, + 741249300, + 683518839, + 197353681, + 147355252, + 393546464, + 943427692, + 13910928, + 123647216, + 478427589, + 641344853, + 936002084, + 389431232, + 899265780, + 459788443, + 401939225, + 395317586, + 367112682, + 828856370, + 366217056, + 127884066, + 381562183, + 70247739, + 582226048, + 531306214, + 832350578, + 329702556, + 351212747, + 99960942, + 61194076, + 441656964, + 829187296, + 831797521, + 338975397, + 17875220, + 795805506, + 905315098, + 598625003, + 467520268, + 595600848, + 321639444, + 956300866, + 270585629, + 687129522, + 23262768, + 178471648, + 822662776, + 78248397, + 330592244, + 530942707, + 252531105, + 544745905, + 669889680, + 437996822, + 212645271, + 604693689, + 979101412, + 891503346, + 299918440, + 618362965, + 93164921, + 37755039, + 42507951, + 316087737, + 914804443, + 618536901, + 531139169, + 15617722, + 767040594, + 303792626, + 804245343, + 988247458, + 468550089, + 719876710, + 551187336, + 656269843, + 876800805, + 326570912, + 906220176, + 749055775, + 629415291, + 156109368, + 940170968, + 504753554, + 695714047, + 252524220, + 508744939, + 488598037, + 642065334, + 124526234, + 750619279, + 20258865, + 977387767, + 494116741, + 81176431, + 576610832, + 951086458, + 74408987, + 661744404, + 428467765, + 972770802, + 576128588, + 262649465, + 784479091, + 893979777, + 90170002, + 508670125, + 279726646, + 287079062, + 831522181, + 617175992, + 634793445, + 743457752, + 493679913, + 520776664, + 885109896, + 825956967, + 434193499, + 81360461, + 69437537, + 973974344, + 448969705, + 378462879, + 998415997, + 731693211, + 184206072, + 804749779, + 276933757, + 410569920, + 776475599, + 291374510, + 754199066, + 781579726, + 238604672, + 169767314, + 733090112, + 786270043, + 119203816, + 651389543, + 146292235, + 80835708, + 724568534, + 521332755, + 498375991, + 147722278, + 142893352, + 46464361, + 319170580, + 174281632, + 287996835, + 445271151, + 281933364, + 73498069, + 318379380, + 33840919, + 73839195, + 223244948, + 495208269, + 75794125, + 611267756, + 800377808, + 494083297, + 807528630, + 368206199, + 850468275, + 886983662, + 570385161, + 261210902, + 930228543, + 584663972, + 533636472, + 965855613, + 294159653, + 641599519, + 520490296, + 328031480, + 509906425, + 653199067, + 716935320, + 126263131, + 473452177, + 469644893, + 552266774, + 588326919, + 71919202, + 546704399, + 654631863, + 607332860, + 562321967, + 724198122, + 619513233, + 898422420, + 600119169, + 244983280, + 107578419, + 455621537, + 462602223, + 779674098, + 367972828, + 358246431, + 628466683, + 292863158, + 263408368, + 844281735, + 276658450, + 481681416, + 812588633, + 592627588, + 690730189, + 631345766, + 361082383, + 234618527, + 705729493, + 934124290, + 299308355, + 387966286, + 980268675, + 632672933, + 600770423, + 45527305, + 424369074, + 820645439, + 834932032, + 818171929, + 598487194, + 509866714, + 905006565, + 909143369, + 745918804, + 963414626, + 652155603, + 607155386, + 180435916, + 234623590, + 797486826, + 421870654, + 590357215, + 687447759, + 780465885, + 401824112, + 262706384, + 211374739, + 274660524, + 175893836, + 240898236, + 741197693, + 859757372, + 72627208, + 439831437, + 947812150, + 783191999, + 507155059, + 399958818, + 574129575, + 12070646, + 611753879, + 97432940, + 486990699, + 358805393, + 812553130, + 761768871, + 35217120, + 236510950, + 5096621, + 647600410, + 638382901, + 875267723, + 64201396, + 99681284, + 695774846, + 960604115, + 636596478, + 228069042, + 872562997, + 678247635, + 342919725, + 462955955, + 258066224, + 906448638, + 932790563, + 653304294, + 8683187, + 203257886, + 601346021, + 481445162, + 936920612, + 61180124, + 836952749, + 145076771, + 407344476, + 437590953, + 993839252, + 495234460, + 490261088, + 659287647, + 626130734, + 225834055, + 393812989, + 33389480, + 760410263, + 117761702, + 759081457, + 757198096, + 90954553, + 634425661, + 593119417, + 825846405, + 865826803, + 907395740, + 966453984, + 672239502, + 937129774, + 493120405, + 22751965, + 510019605, + 222583035, + 568265510, + 424018942, + 507653341, + 330010377, + 901825427, + 588127426, + 984288036, + 359152505, + 257544735, + 588708428, + 329843979, + 59052836, + 151438456, + 653619177, + 562213922, + 816733043, + 206369274, + 479461755, + 613548104, + 689636649, + 842283740, + 730572195, + 721441336, + 829180661, + 868449540, + 84624980, + 648215073, + 879331396, + 295312176, + 586662101, + 762397018, + 485941429, + 721746889, + 862843781, + 466863118, + 214053806, + 155112641, + 350337381, + 45635958, + 396485181, + 963542364, + 865760578, + 293471205, + 162335995, + 699569777, + 385246753, + 941855633, + 26261696, + 818758453, + 197788068, + 453636284, + 144533009, + 7293949, + 455556245, + 837059955, + 351579340, + 849331356, + 265866969, + 933983573, + 871066503, + 420884889, + 626179411, + 345904714, + 717243648, + 459062641, + 395843590, + 53091942, + 709135395, + 199697497, + 262668269, + 527431071, + 768884774, + 773694035, + 436046314, + 687796445, + 325405151, + 695265345, + 596731315, + 980732690, + 220885874, + 477115348, + 502402924, + 255155849, + 204075831, + 169975378, + 865373599, + 758268773, + 658378473, + 910799821, + 46875477, + 412333403, + 487004293, + 501599028, + 419875528, + 609798552, + 582539048, + 942577179, + 200381814, + 303887505, + 305490891, + 779057204, + 628807761, + 102518957, + 828222068, + 472803029, + 669163638, + 848266303, + 812640491, + 152941519, + 536751813, + 58257948, + 580399909, + 127615702, + 950565365, + 996973225, + 952933891, + 469823054, + 300964120, + 76309789, + 655088877, + 61308738, + 406688870, + 683463391, + 817495898, + 390734084, + 911089002, + 744333132, + 563271954, + 996553951, + 425907162, + 257555292, + 631884237, + 204829449, + 651371932, + 858424481, + 432840522, + 810560309, + 856082923, + 780664495, + 242402829, + 907374821, + 562163515, + 835013696, + 16934307, + 845272154, + 785509001, + 369017104, + 768176779, + 840120032, + 67454982, + 163656735, + 973466698, + 466677143, + 907378130, + 821874419, + 992187122, + 133891672, + 939565772, + 418891727, + 202947470, + 927513849, + 790272520, + 213720966, + 196770108, + 454886675, + 779774138, + 187281409, + 941090949, + 688411563, + 777409161, + 873231173, + 648990261, + 594212862, + 725995494, + 826710113, + 371656210, + 345919351, + 422954686, + 451638911, + 399309252, + 644097984, + 403261547, + 30750100, + 907379546, + 72239815, + 939500797, + 909797662, + 664817248, + 504537149, + 604021070, + 259420260, + 611302283, + 452188710, + 166762112, + 129379316, + 696366065, + 517035120, + 748294504, + 929395739, + 141295528, + 336508626, + 639341992, + 471908220, + 496783788, + 5929256, + 109090575, + 978885824, + 393979169, + 729860242, + 882345675, + 350084184, + 507692198, + 819832473, + 495969380, + 324558594, + 916980203, + 710083210, + 375891733, + 669684555, + 780223651, + 80607029, + 359887434, + 905018575, + 175994506, + 957914682, + 916412298, + 288737675, + 43406432, + 162774071, + 134519692, + 595721610, + 3662024, + 852886233, + 862263605, + 869738544, + 781951935, + 280260186, + 868917066, + 667199533, + 819946646, + 478158874, + 118174745, + 382873610, + 860727781, + 547653217, + 822418292, + 25379677, + 922599815, + 650627162, + 665732, + 321113672, + 348401438, + 630402462, + 327587761, + 227583538, + 898030789, + 169914437, + 223333171, + 531579499, + 945756743, + 255668785, + 819301179, + 672272705, + 980511066, + 687238025, + 301600639, + 986296355, + 679327444, + 362870071, + 612252004, + 937469853, + 684540915, + 7137163, + 553421033, + 424350669, + 237640672, + 30455664, + 566573672, + 461941414, + 823590928, + 908183417, + 31923929, + 957726824, + 600320913, + 788625413, + 177315749, + 284836116, + 600925089, + 798298905, + 65677576, + 143390720, + 755607688, + 555043304, + 468583492, + 458387922, + 801269520, + 311063992, + 78001167, + 205520141, + 143528215, + 323634035, + 460975518, + 835976261, + 653211129, + 831183478, + 32580705, + 370649843, + 369852723, + 482842410, + 329134901, + 303182512, + 628586012, + 523445002, + 119054118, + 643769620, + 824321664, + 476276000, + 82908491, + 98070938, + 266912415, + 195461769, + 225810469, + 941834950, + 919016274, + 527472991, + 808315256, + 889642329, + 709529616, + 686721196, + 150976778, + 195924769, + 818207977, + 678319295, + 883799876, + 830531152, + 759436371, + 753236704, + 950776945, + 534627417, + 910686395, + 368223451, + 652003946, + 752378035, + 873658559, + 771418398, + 223925762, + 838300765, + 70550569, + 405005978, + 449312605, + 289170851, + 571606280, + 878727493, + 758446367, + 625039650, + 933476236, + 185641281, + 265338051, + 23263761, + 977460277, + 131853501, + 177239684, + 249260940, + 929255633, + 660309409, + 703950399, + 28287170, + 675503915, + 16060922, + 677957255, + 839796259, + 920491985, + 216686814, + 999240701, + 234107109, + 370552584, + 332441659, + 887450552, + 380407691, + 815865797, + 507878696, + 789783112, + 186105252, + 828109836, + 97446341, + 880967583, + 62905455, + 798346658, + 374337244, + 452208758, + 495386413, + 256600543, + 488645050, + 664958798, + 32056452, + 295763797, + 485262441, + 657506774, + 859451763, + 684498252, + 119355183, + 856914225, + 352118990, + 386805816, + 267296130, + 202063633, + 998647475, + 98021615, + 141475641, + 486823634, + 7867973, + 919128790, + 612176836, + 934752899, + 664271502, + 780217163, + 900594232, + 725243872, + 805204536, + 726647896, + 402276851, + 73675026, + 580767992, + 50802461, + 101961959, + 410840953, + 963200102, + 210698348, + 638349889, + 781197177, + 137475940, + 583453298, + 553686021, + 386735522, + 631165445, + 622148070, + 226268677, + 50283240, + 44369289, + 640678861, + 419889931, + 659020449, + 203612462, + 775485421, + 148903667, + 273365418, + 171906512, + 181978428, + 170180152, + 657680639, + 302545716, + 426721938, + 453411994, + 548472050, + 285722925, + 800814555, + 523004676, + 520963984, + 788659952, + 456076941, + 768426744, + 44234183, + 546770815, + 230967288, + 99346665, + 720654662, + 230845990, + 629130005, + 611483877, + 791415614, + 927677072, + 352045213, + 772457850, + 90719648, + 834087630, + 846151172, + 699238888, + 864597813, + 282414648, + 677143957, + 518941098, + 648550903, + 564482130, + 56485107, + 928126641, + 140913948, + 466308790, + 243877803, + 313535875, + 687290822, + 920334063, + 338696836, + 783728056, + 833527243, + 943359844, + 674795522, + 327125209, + 851317050, + 790898193, + 427910505, + 130929872, + 117534392, + 214669821, + 251254858, + 910214407, + 46786992, + 242945720, + 205538039, + 39922242, + 768482410, + 37935149, + 957830011, + 860083320, + 633209344, + 314966427, + 160080554, + 5068132, + 510751574, + 71674938, + 787661232, + 996269166, + 113305800, + 196139482, + 87840208, + 861208159, + 61478813, + 198261304, + 649220263, + 897274337, + 161655706, + 852566275, + 852708857, + 879335054, + 621685380, + 263087812, + 863408478, + 923549847, + 940370373, + 118301612, + 324690441, + 139928075, + 512661402, + 137145026, + 257566368, + 254467241, + 281240552, + 546044592, + 532496807, + 5360490, + 695331635, + 533302414, + 412967114, + 356290083, + 734556371, + 61537262, + 209458763, + 231105814, + 62952415, + 272358328, + 772525527, + 170678460, + 735801812, + 784013968, + 915247034, + 346442198, + 231904726, + 668629021, + 397695460, + 839789134, + 173308527, + 364506076, + 34222942, + 244025768, + 787154637, + 61116923, + 874002237, + 157983012, + 536959498, + 177945470, + 823278467, + 6099843, + 115374268, + 679940436, + 817985012, + 275448981, + 129981417, + 301871400, + 665961924, + 805521040, + 119565591, + 924477998, + 527157905, + 296177816, + 877516455, + 588542959, + 200788276, + 256929291, + 366665471, + 759998572, + 412739730, + 6071302, + 408169794, + 521075639, + 889700099, + 759069348, + 653283728, + 617426966, + 979408602, + 238379066, + 802959942, + 576739654, + 140211485, + 30250077, + 113556455, + 9139694, + 607541889, + 350918866, + 643362412, + 870003543, + 822004748, + 827366690, + 569070596, + 721830530, + 618987133, + 145036996, + 158410266, + 201135777, + 17659305, + 42611987, + 657877751, + 878530529, + 501273811, + 755648132, + 46875143, + 468158706, + 833781088, + 939207982, + 262973558, + 180197267, + 963411252, + 468914979, + 240481784, + 270441009, + 545856676, + 455633438, + 635429835, + 443735293, + 787894210, + 674192408, + 870385513, + 647909747, + 611122456, + 615578829, + 402826308, + 956051225, + 943629033, + 549302422, + 152191712, + 125586750, + 472904342, + 598131985, + 831507292, + 198162107, + 111679497, + 134711267, + 897338516, + 393017618, + 979516601, + 874959375, + 870110898, + 102352012, + 614857708, + 217226102, + 566027801, + 14150152, + 251508685, + 45902598, + 175005429, + 985862281, + 374699638, + 541042551, + 654906054, + 559355773, + 110974445, + 968331493, + 359051760, + 630522955, + 304730401, + 874651776, + 284625312, + 195088667, + 388467853, + 867136693, + 987254115, + 774244778, + 47921142, + 413465930, + 600834718, + 50645133, + 712051601, + 918650227, + 251231138, + 385204136, + 613602087, + 538419805, + 947735845, + 441169950, + 364079544, + 801332261, + 333155666, + 964516084, + 200690166, + 397639294, + 790282267, + 356166417, + 96931493, + 572574261, + 205620006, + 228155186, + 219084443, + 37556513, + 669956660, + 266320746, + 204702708, + 279035551, + 537557000, + 372593913, + 907360408, + 296992626, + 184774453, + 988754429, + 646341796, + 272449974, + 431852017, + 765547114, + 455653173, + 445326037, + 461045180, + 105963459, + 553390742, + 912389525, + 879219684, + 14153611, + 21457101, + 866835861, + 932209863, + 66026085, + 421808333, + 872196606, + 953944985, + 392105806, + 211201548, + 533481920, + 817421245, + 105023958, + 903632181, + 41632558, + 305389569, + 890837959, + 331603700, + 168791944, + 349100887, + 100286509, + 342913393, + 802160403, + 881876610, + 836236443, + 254879116, + 660802927, + 680842704, + 377312105, + 738176597, + 964673635, + 29882095, + 168655971, + 661398051, + 432774238, + 582131731, + 635534895, + 542861035, + 91319100, + 322031513, + 745410799, + 523050174, + 217818130, + 271964484, + 175464637, + 708758035, + 549249832, + 951908089, + 651860364, + 884686263, + 1134896, + 228036796, + 38327130, + 822274549, + 282916945, + 339049838, + 491060826, + 529843200, + 881753600, + 223025791, + 322458407, + 261382033, + 912302527, + 24785097, + 432267393, + 850406857, + 675698488, + 988515613, + 456235477, + 59051024, + 650229008, + 177839846, + 257799726, + 712136175, + 217117556, + 897006590, + 166579771, + 737327678, + 65775487, + 81551797, + 893302591, + 117309513, + 831538348, + 460806833, + 491624105, + 212282019, + 416088911, + 94693522, + 766466013, + 684547322, + 744511399, + 72013297, + 633707703, + 292196425, + 391029783, + 320947184, + 784907024, + 389504851, + 857832983, + 478303596, + 634929764, + 10195287, + 741385909, + 131609584, + 240527798, + 904691944, + 462309024, + 120865579, + 756193563, + 13767180, + 195379307, + 655349585, + 839893172, + 298234900, + 855849308, + 555959406, + 308619413, + 856866643, + 473210522, + 666818969, + 341381285, + 107633383, + 739841331, + 386594279, + 534084774, + 952500532, + 756102475, + 689417195, + 604701541, + 618434285, + 355737406, + 454617527, + 418903054, + 876746330, + 627722994, + 883899977, + 401469087, + 602080319, + 898148909, + 827679206, + 249020102, + 285895522, + 848048108, + 867367220, + 261149548, + 45747959, + 65181111, + 107961285, + 123866544, + 475649887, + 951002988, + 146905291, + 467694764, + 973728531, + 730563197, + 428314983, + 761587336, + 551118690, + 593049534, + 780904160, + 12827720, + 252950439, + 429637180, + 697531085, + 283991269, + 624914945, + 256692015, + 185388069, + 611094331, + 231251697, + 716908007, + 137730151, + 245046585, + 105849779, + 955659016, + 480838292, + 269764251, + 488610961, + 309832682, + 319013678, + 562143702, + 301432804, + 209120435, + 281282735, + 874295065, + 811940535, + 606769098, + 57142154, + 616128371, + 849020857, + 745764175, + 798697551, + 869903294, + 140345894, + 900486291, + 477928786, + 987263771, + 11375420, + 619964357, + 961191189, + 803628475, + 172040302, + 317574757, + 925427473, + 622684805, + 778165717, + 362319266, + 684103149, + 157758824, + 450539585, + 378142643, + 69866750, + 689298790, + 221991267, + 864662329, + 496879102, + 323957402, + 14088386, + 708403352, + 751322066, + 479537062, + 571019743, + 377700987, + 221488149, + 319679932, + 90437572, + 979502799, + 573233981, + 870608772, + 803144176, + 627611622, + 764253377, + 672085772, + 212646210, + 283895536, + 823885630, + 111037932, + 644465283, + 879932904, + 172092056, + 588209182, + 766965245, + 224777000, + 544087478, + 589186070, + 925350937, + 623094895, + 770240938, + 567622166, + 173522847, + 420031253, + 744152268, + 170840006, + 375767907, + 22516478, + 697926128, + 699916101, + 325697006, + 608049927, + 627891875, + 245872960, + 289694776, + 937768219, + 462319548, + 216608416, + 467878185, + 700699069, + 194656072, + 586515013, + 874806524, + 551185547, + 808291563, + 177617797, + 553094583, + 115513759, + 179191062, + 164866712, + 679343996, + 308112205, + 174720774, + 589592038, + 293547279, + 311396294, + 733346983, + 13593045, + 731898664, + 602657183, + 105204137, + 533806595, + 884465697, + 485674901, + 224868878, + 78116516, + 998308725, + 582068219, + 315046893, + 620783824, + 912591868, + 219529933, + 544987400, + 126518852, + 861333840, + 120047791, + 967987412, + 666614096, + 963889943, + 375155270, + 893623847, + 322789951, + 196703420, + 839334288, + 710135879, + 905186098, + 493036672, + 898432495, + 119858870, + 799574080, + 379792238, + 885975853, + 400409283, + 688689376, + 683444878, + 690161195, + 80234343, + 982812904, + 255107232, + 887122588, + 518283071, + 473081079, + 635912076, + 623122894, + 851859557, + 506596631, + 271174566, + 252700020, + 779182435, + 973607466, + 105122196, + 89801492, + 192768051, + 152374809, + 669903149, + 367275421, + 619276038, + 25322307, + 833941329, + 820624764, + 311749271, + 566357205, + 948207336, + 194472722, + 265516015, + 521227518, + 314506095, + 488319010, + 538217763, + 468986007, + 220450701, + 160614915, + 526544326, + 784359843, + 655983066, + 28351039, + 42985772, + 18129666, + 941856149, + 910334509, + 698127148, + 204317083, + 970094576, + 61678399, + 620240859, + 592973363, + 655680651, + 724528618, + 249403415, + 66177577, + 296937365, + 790509693, + 344076948, + 380845307, + 694230913, + 932821451, + 257367692, + 873890073, + 451669430, + 932716951, + 610483693, + 80665493, + 941894616, + 836884482, + 732636174, + 361307846, + 531352328, + 691365811, + 21523313, + 333818794, + 258305839, + 708401740, + 385145697, + 334557828, + 748208857, + 876599090, + 966602362, + 328716365, + 718908562, + 773056303, + 683849416, + 961003614, + 49585164, + 759138096, + 612066044, + 876669842, + 80601278, + 266528601, + 167275562, + 141707585, + 732033420, + 920082623, + 67167621, + 107751958, + 907199053, + 219195152, + 75766421, + 289400094, + 880319028, + 135761394, + 456571825, + 154553171, + 673846720, + 340959714, + 70262880, + 322531028, + 834150118, + 997897466, + 146880515, + 900889629, + 90630481, + 778952407, + 584795812, + 821195559, + 195486474, + 570064361, + 26978173, + 846587676, + 398899331, + 568613813, + 764870261, + 254906737, + 32642525, + 388050003, + 333513800, + 975479324, + 218510483, + 768443550, + 488671908, + 626553749, + 117020755, + 34779238, + 493839034, + 182208594, + 972969763, + 34616493, + 380223045, + 538960519, + 503371837, + 691210367, + 171023399, + 422079712, + 286814220, + 424487195, + 922122158, + 738924737, + 868229932, + 510757485, + 202161093, + 375783253, + 271610870, + 670283891, + 844577774, + 799627859, + 125334950, + 339914146, + 68815094, + 829025627, + 200778482, + 852480068, + 979720045, + 973509420, + 824518378, + 666821550, + 604277451, + 667733781, + 800329655, + 327443814, + 347706800, + 687780742, + 408637444, + 767500535, + 395009134, + 8824902, + 940007289, + 685310882, + 721154429, + 502225272, + 921208612, + 530228208, + 590300458, + 430264586, + 204250103, + 986629833, + 808420919, + 504805097, + 757500657, + 801821831, + 28220971, + 66164332, + 346993060, + 72304628, + 344728971, + 36857048, + 3175924, + 472394935, + 92169265, + 769653287, + 65965678, + 314897175, + 288463883, + 601181932, + 570239707, + 496875518, + 497831374, + 408715748, + 201658487, + 769752678, + 346226040, + 447508812, + 64314175, + 316063907, + 800663852, + 372934160, + 317185926, + 111486382, + 950063543, + 183197921, + 181156529, + 148220101, + 513416377, + 75613712, + 989948469, + 809381119, + 603597759, + 997975504, + 470697762, + 473365265, + 397691882, + 99862880, + 314722661, + 446818965, + 800395473, + 334723047, + 154152191, + 755253092, + 430471315, + 673943459, + 555796641, + 867602444, + 289846013, + 100243609, + 628070766, + 422634268, + 220652514, + 324836578, + 266692207, + 102407758, + 461897659, + 120219001, + 622269125, + 78749453, + 308277874, + 932107074, + 614337716, + 570141034, + 605311136, + 442736566, + 357711393, + 427003389, + 351007818, + 415227317, + 713929764, + 989310721, + 336062896, + 746828909, + 267765425, + 854607652, + 302453454, + 950364490, + 133952754, + 326631245, + 128421400, + 258228003, + 484675305, + 176376103, + 876288008, + 151898213, + 247938896, + 829351610, + 756448724, + 179917040, + 890785035, + 425595032, + 36318999, + 980939718, + 487272466, + 552506531, + 3058245, + 964435746, + 484615841, + 420469931, + 577074108, + 922427017, + 820354264, + 64594533, + 599502482, + 726126443, + 516302836, + 25224341, + 776854079, + 189916267, + 882074377, + 264303184, + 485069185, + 155056620, + 810301641, + 467965264, + 124310969, + 308596684, + 450291148, + 796594486, + 725375723, + 494793934, + 723724295, + 982703271, + 95903539, + 189720051, + 216674255, + 954965437, + 307318733, + 762732073, + 536137384, + 670427182, + 209863533, + 427554460, + 115355595, + 887506503, + 291227187, + 765939889, + 429813212, + 711478948, + 502020696, + 692273415, + 131711583, + 718748512, + 769363628, + 928989254, + 497675878, + 491928053, + 113670898, + 612697949, + 658613792, + 726956420, + 604485631, + 925780283, + 265402980, + 303438168, + 825047463, + 626704009, + 752203180, + 244854201, + 511939692, + 448221046, + 693980440, + 846772101, + 245540804, + 494181830, + 821529149, + 367503263, + 305124963, + 446082456, + 132713709, + 266404348, + 37174059, + 390309740, + 783842144, + 647872816, + 975428728, + 915066198, + 240763349, + 928943215, + 745255960, + 745994031, + 265915903, + 366361042, + 333254321, + 594127680, + 675902845, + 819272927, + 36475816, + 534952569, + 51874255, + 179169208, + 366445028, + 767963146, + 57670216, + 656525280, + 630451601, + 501305178, + 805016351, + 34426867, + 663496822, + 961930989, + 338052002, + 373382376, + 588916255, + 568380267, + 323933730, + 420752166, + 138443603, + 360453961, + 914691863, + 129475189, + 443732190, + 122070758, + 420508009, + 676007351, + 574075962, + 433588527, + 704804429, + 597656138, + 667775167, + 711480868, + 431110530, + 596543867, + 737577520, + 407748451, + 564704069, + 476511114, + 494202646, + 934293822, + 249088176, + 863858010, + 173943943, + 806646130, + 245903820, + 731686497, + 888310090, + 60153136, + 407891529, + 249421455, + 992226626, + 478585977, + 354849088, + 979070170, + 436045412, + 619649327, + 699830308, + 263922803, + 758710116, + 553630215, + 728182959, + 834801410, + 355362230, + 358500102, + 673777190, + 185006843, + 356645991, + 220354792, + 74320232, + 727920357, + 624698317, + 718061189, + 372344714, + 230053191, + 758632923, + 265653725, + 781382385, + 18815310, + 76191897, + 61241013, + 860063344, + 971153859, + 333947781, + 258880559, + 414550228, + 293347822, + 601729421, + 851278713, + 638608624, + 643347398, + 453626671, + 853137707, + 295734741, + 795988573, + 241367817, + 986906792, + 392294713, + 323988429, + 742003273, + 796055262, + 88528144, + 310092912, + 213211622, + 925842225, + 376279601, + 692158144, + 727251591, + 520657412, + 151933265, + 579281464, + 287826946, + 217076577, + 865204716, + 114207293, + 456027966, + 676984068, + 744568237, + 758623630, + 876817368, + 16596897, + 641468719, + 173026368, + 977738789, + 58101825, + 229453612, + 497930335, + 155608146, + 560036838, + 777151770, + 266699600, + 697399132, + 470031817, + 848256930, + 135971092, + 604120287, + 487415289, + 299105304, + 956965477, + 934872782, + 816245098, + 134642098, + 67576862, + 521148489, + 951898128, + 531710900, + 973571147, + 166135469, + 145914124, + 994009347, + 115554051, + 981380591, + 542854298, + 546010093, + 194800541, + 609049202, + 697398439, + 157159314, + 844164236, + 640741566, + 933470549, + 586221052, + 246100695, + 423506346, + 209681550, + 255970112, + 846261931, + 231945881, + 145931689, + 73402566, + 469793077, + 958286891, + 707105894, + 69330479, + 273135265, + 895108389, + 924907288, + 153991670, + 270843564, + 868750071, + 889867049, + 26797919, + 521792235, + 823686813, + 787238941, + 138816617, + 17483670, + 118506143, + 343395846, + 609123310, + 463032443, + 179655945, + 58931218, + 12107735, + 446553379, + 941797092, + 550341910, + 30796484, + 144983746, + 866458050, + 967978298, + 121751131, + 306763009, + 177230881, + 308961773, + 118060619, + 216064686, + 534725961, + 737392274, + 430418760, + 594228686, + 219566756, + 982416931, + 842310249, + 945285664, + 658193690, + 364957206, + 623905965, + 973537944, + 535452536, + 550487850, + 702462448, + 70563259, + 598750618, + 985480827, + 292545921, + 615242422, + 471804827, + 883786558, + 61363155, + 609305680, + 735532102, + 189862924, + 479212373, + 485140732, + 433663019, + 277821755, + 298465935, + 440118930, + 100734788, + 518316660, + 4895681, + 306177065, + 761467333, + 808796007, + 471906729, + 981472621, + 98297081, + 891004063, + 605721453, + 418526290, + 516911690, + 781488275, + 997020069, + 555640464, + 586822188, + 154247027, + 38484461, + 404401001, + 777335953, + 54829763, + 397925511, + 391187113, + 289763170, + 491105850, + 969788201, + 412587517, + 519263767, + 428355896, + 161551391, + 41620798, + 781679865, + 126259869, + 366198821, + 690230939, + 827933158, + 385576589, + 231608703, + 242887563, + 987499762, + 950691328, + 74043965, + 328971985, + 920988563, + 427817779, + 733989025, + 805388847, + 406639061, + 394265637, + 977339288, + 341029237, + 98527599, + 276279270, + 356076811, + 392301297, + 842294982, + 167835792, + 686585025, + 118914670, + 136850681, + 618306421, + 980793372, + 521029011, + 336976146, + 834938942, + 847365637, + 929151126, + 874834874, + 427118199, + 704542249, + 552424108, + 434783460, + 905529502, + 726852478, + 2742244, + 961098133, + 389017169, + 997957022, + 704940740, + 137796580, + 740671384, + 313578321, + 260271860, + 286811921, + 639440814, + 985952440, + 117113721, + 626548526, + 699078424, + 432526166, + 94277281, + 352096930, + 762853759, + 77006242, + 45592259, + 22062007, + 858315706, + 456585263, + 653723087, + 492058875, + 887309463, + 106197182, + 364028827, + 655944326, + 906284184, + 518083769, + 797612162, + 129144587, + 732329862, + 877051946, + 559803013, + 757711997, + 262311210, + 514167648, + 651838173, + 826097042, + 94735162, + 830332325, + 677372501, + 202333862, + 55298115, + 333657570, + 503567405, + 180086814, + 385608457, + 702014411, + 40968963, + 602118070, + 960765600, + 711283617, + 436684519, + 30919197, + 336228650, + 166463267, + 620008191, + 207317032, + 228284747, + 783199976, + 788043489, + 165646081, + 18194087, + 647254026, + 1823099, + 588459917, + 738241589, + 892156714, + 116034248, + 89167915, + 887510844, + 759119709, + 787968104, + 984506189, + 337478663, + 462266627, + 111811898, + 691045312, + 227324864, + 7347663, + 722515809, + 834434580, + 757367515, + 254612781, + 835021991, + 691243860, + 8279800, + 645583386, + 790911504, + 800329957, + 675218730, + 469080868, + 896629341, + 220370114, + 50790954, + 384698417, + 302688956, + 966543523, + 267489759, + 796805677, + 640428627, + 837673151, + 696092032, + 253613989, + 306557951, + 854574708, + 857566419, + 726486707, + 768006861, + 766618301, + 995179295, + 205525275, + 238947881, + 323572960, + 956725034, + 869692799, + 614174485, + 69713676, + 363888036, + 911653395, + 488977250, + 258593424, + 795581292, + 223767118, + 926609254, + 349471337, + 704759548, + 409500674, + 879439407, + 564349087, + 139244156, + 207120996, + 411896070, + 453998111, + 132984112, + 225657553, + 833582714, + 384966538, + 232516823, + 534057372, + 305956363, + 274835151, + 799572109, + 504973442, + 993818135, + 747723586, + 103065976, + 726445754, + 98392231, + 32237871, + 131173106, + 627433912, + 297616363, + 793197584, + 643071336, + 602943845, + 64313501, + 464557016, + 976450405, + 321706306, + 702891295, + 953155982, + 93700079, + 385067591, + 585890062, + 696941175, + 772032689, + 100307061, + 381992000, + 885845945, + 752820440, + 285228433, + 533689908, + 954209323, + 583016594, + 129369053, + 449814115, + 426872220, + 765527641, + 322401117, + 874002637, + 77773302, + 853185070, + 517167846, + 265116473, + 622822627, + 532729226, + 433975690, + 328383236, + 425921253, + 782738023, + 939632197, + 425242621, + 870398735, + 231052844, + 513198904, + 231808501, + 556495662, + 887074364, + 528990818, + 904935131, + 168906933, + 755181646, + 338458455, + 877016386, + 715182664, + 641133844, + 340470042, + 846481483, + 381800844, + 462420544, + 749820876, + 939827908, + 567056822, + 838492264, + 330250344, + 264348480, + 228002208, + 76095284, + 28530699, + 47257901, + 887503995, + 787407829, + 15983818, + 888405627, + 740850289, + 133502987, + 462913493, + 364170704, + 383340425, + 935000501, + 604092918, + 488611454, + 330169664, + 572318145, + 718619303, + 959357051, + 690642536, + 873020987, + 466936785, + 472282687, + 539875542, + 542866127, + 703472855, + 292223971, + 262314351, + 923292239, + 2608769, + 918560146, + 930468721, + 541216832, + 733219610, + 389042305, + 448229245, + 885798768, + 834669473, + 123565446, + 248112067, + 596745013, + 800068310, + 146118865, + 772162807, + 620953539, + 455950702, + 927694028, + 783166843, + 257519589, + 251318171, + 115685423, + 463969143, + 447164810, + 891868078, + 539194444, + 178654407, + 44936566, + 579775108, + 526057627, + 933515873, + 363648942, + 558653501, + 731823898, + 222758673, + 380089997, + 752533103, + 188100605, + 920822291, + 656810967, + 716399397, + 963702468, + 651444529, + 70028402, + 796444429, + 218435145, + 665762901, + 658239423, + 879994500, + 85935264, + 95836082, + 623279667, + 316523435, + 983137175, + 506815629, + 218247181, + 833609939, + 500685610, + 173739749, + 14591764, + 547824806, + 287118380, + 477601753, + 523737105, + 806969289, + 219584492, + 610342035, + 326168981, + 11159360, + 828597597, + 832514244, + 899245870, + 645793531, + 599222382, + 165816450, + 747898454, + 174393002, + 687277376, + 722654033, + 530113946, + 90801132, + 191748222, + 671163011, + 380567230, + 904457224, + 823476948, + 857836637, + 890625689, + 204367449, + 961707799, + 301227773, + 261028571, + 899479705, + 734232576, + 638494682, + 311095824, + 565470054, + 670092101, + 512873223, + 510102461, + 941594173, + 652930704, + 513540451, + 932892386, + 653037147, + 326062674, + 322383902, + 404173842, + 840677566, + 192454688, + 153264054, + 965613228, + 568085467, + 325246899, + 253752817, + 609631536, + 869225059, + 162178052, + 254554840, + 693680098, + 659152680, + 788239015, + 546858231, + 614754985, + 873616706, + 286921505, + 970696047, + 650747935, + 375575264, + 57553585, + 126309070, + 931262836, + 261153019, + 794375252, + 63713418, + 911076743, + 404182185, + 316172916, + 491957325, + 17370979, + 757095598, + 141156322, + 311226020, + 283113778, + 700199609, + 375121801, + 408176820, + 774458930, + 181302606, + 217805162, + 201055723, + 328451893, + 591373725, + 7127093, + 129041963, + 634375453, + 873441499, + 403473741, + 21316931, + 361194382, + 626334121, + 293965290, + 200953792, + 191589027, + 519816374, + 14409316, + 195077225, + 434177354, + 123927718, + 25479523, + 528042380, + 534458077, + 709332739, + 17083251, + 566724576, + 922556599, + 467543962, + 664494457, + 224512911, + 193588339, + 862743355, + 509252835, + 757284486, + 614715254, + 762242728, + 798887523, + 212068363, + 592047105, + 105429681, + 470234896, + 729511132, + 389940435, + 968130120, + 41745200, + 563614542, + 879980076, + 882784328, + 740348697, + 59863785, + 106920246, + 577894037, + 710898819, + 810444706, + 974618264, + 879450069, + 130892177, + 687273038, + 709679692, + 660944408, + 44212594, + 435615182, + 775495933, + 966624627, + 624082300, + 811819362, + 627726253, + 429746873, + 864451226, + 634390303, + 499078261, + 616173946, + 317117873, + 302026673, + 489799326, + 97486109, + 41749155, + 466727621, + 739763990, + 825014142, + 247920673, + 349357924, + 390855892, + 712376595, + 796384612, + 948457471, + 892966168, + 91611643, + 183427654, + 992399948, + 475838680, + 796718928, + 203254070, + 138285398, + 712964673, + 710900438, + 683245971, + 217544523, + 494204029, + 523491646, + 365936435, + 390678729, + 175659471, + 598028999, + 946804520, + 167407918, + 828212457, + 889379779, + 763684710, + 44853734, + 209917686, + 773541949, + 983267772, + 205394091, + 151754236, + 421011463, + 48050534, + 392679555, + 402448240, + 542527478, + 557490328, + 440992980, + 519248858, + 554591511, + 490277180, + 321447571, + 753975946, + 940098233, + 702304214, + 469224538, + 571584890, + 830001345, + 340597497, + 833660983, + 145944146, + 98649480, + 581693045, + 489117661, + 78261234, + 88303801, + 88076833, + 658227111, + 243810461, + 589368679, + 422463915, + 407048880, + 990078158, + 1646385, + 253273316, + 80974863, + 514338923, + 70643149, + 643013849, + 198891153, + 126421904, + 267759077, + 429547306, + 126751279, + 700146498, + 595945573, + 79173284, + 969485957, + 702008961, + 512279452, + 139737947, + 995651721, + 788582655, + 350590670, + 188647053, + 295101987, + 659640538, + 97207258, + 724453757, + 688599603, + 778370217, + 67675145, + 707993786, + 894194755, + 35279586, + 580741419, + 122275162, + 495543500, + 117789606, + 496522580, + 676243912, + 988881512, + 478328282, + 196868932, + 572749147, + 458238947, + 443168126, + 519002909, + 466675952, + 998341141, + 27807170, + 702468369, + 360746645, + 568104502, + 760960293, + 893708519, + 644392678, + 926039664, + 817828210, + 433483952, + 659211466, + 165815258, + 451241196, + 551671955, + 663583853, + 775688888, + 306124507, + 91477673, + 932069128, + 92557221, + 844425285, + 542397909, + 476321511, + 793066397, + 974558804, + 833754985, + 316402601, + 356056253, + 889383946, + 864279698, + 874457965, + 85741837, + 442977616, + 22126986, + 610723398, + 798958191, + 212712326, + 554951671, + 257351201, + 529289970, + 629422022, + 459108872, + 95780072, + 986045896, + 335558232, + 389606020, + 266574428, + 983302608, + 417804034, + 492659581, + 399077530, + 314147085, + 438022693, + 477378573, + 162579894, + 326893321, + 763922397, + 67822164, + 885168603, + 566293141, + 961841049, + 970225136, + 372621033, + 781904016, + 677600894, + 590906467, + 909602624, + 227026146, + 163129135, + 548368385, + 839867899, + 959878516, + 56812694, + 138753574, + 734134752, + 37323853, + 501757647, + 842737560, + 748492885, + 389505751, + 354847280, + 849755280, + 19451867, + 123916754, + 525166027, + 654188105, + 978183096, + 351093150, + 972970582, + 621338780, + 798794178, + 572905848, + 803209951, + 845301812, + 766737732, + 389226624, + 846689398, + 413625069, + 490586639, + 631586826, + 378589688, + 836557811, + 298154316, + 31550638, + 575857436, + 884666977, + 338329041, + 666289992, + 845821941, + 672345682, + 498434266, + 485997262, + 316901288, + 362517089, + 858639832, + 568635741, + 9090826, + 828720586, + 464542139, + 819450928, + 845756338, + 139284947, + 822868503, + 927587461, + 768173705, + 686644380, + 553145604, + 987085641, + 712869100, + 437206790, + 554208782, + 216837812, + 550494128, + 218573020, + 994172585, + 197382209, + 846614905, + 844381101, + 495973807, + 923473273, + 770064470, + 474553276, + 582607329, + 928170141, + 198273723, + 267529348, + 162448742, + 602663051, + 887820245, + 894542273, + 143165078, + 222754070, + 270134085, + 369397216, + 383752744, + 923638922, + 833746924, + 464643367, + 939053018, + 625039551, + 138250407, + 684754564, + 653888083, + 77584811, + 153381605, + 267764306, + 55548030, + 670665762, + 713113377, + 250746560, + 796781822, + 574872096, + 137396558, + 97992218, + 643567908, + 769303843, + 238318228, + 885306077, + 344078609, + 455908651, + 481375148, + 390467196, + 756403596, + 250543363, + 254106239, + 305312370, + 697823345, + 185632939, + 303466665, + 520706244, + 305341095, + 724350281, + 330350566, + 694065866, + 566795840, + 348183995, + 973341959, + 16460408, + 946195946, + 726690204, + 233492455, + 624485263, + 190103870, + 898798914, + 198358000, + 115599517, + 397641714, + 828132695, + 411507287, + 63544983, + 742148282, + 30747595, + 416763103, + 17061113, + 257557708, + 186461406, + 4381305, + 644934287, + 510791642, + 797186850, + 812005925, + 696888993, + 414092524, + 180144570, + 775829679, + 472129826, + 164432295, + 124786350, + 821282266, + 136591359, + 759397016, + 797603163, + 538060212, + 152939272, + 798360892, + 457545364, + 371090318, + 877856063, + 650137909, + 267614336, + 910958341, + 137198102, + 127223669, + 865663889, + 463612153, + 722878747, + 416860024, + 740218237, + 328572624, + 471695065, + 809298608, + 234445342, + 494969084, + 937480286, + 109402336, + 508398900, + 550558476, + 514396704, + 63571165, + 310028486, + 608824330, + 101996740, + 239543383, + 561300118, + 760193553, + 952610873, + 769173707, + 921348646, + 685616635, + 559924838, + 367054628, + 213039820, + 239553880, + 155826009, + 405177463, + 892816871, + 165333212, + 861353313, + 193064920, + 513180677, + 856568067, + 745043189, + 258049110, + 381746855, + 511605606, + 900978508, + 834569510, + 421154462, + 161473798, + 929148617, + 90201051, + 551338129, + 27633110, + 732930346, + 567842006, + 298074047, + 1061767, + 630751244, + 202262528, + 694784735, + 337164707, + 886779822, + 102165902, + 247984353, + 683751371, + 17868734, + 66707208, + 911196892, + 974790711, + 467095017, + 463151314, + 735745658, + 123272806, + 66558913, + 954851456, + 350711835, + 689025441, + 728753691, + 917114605, + 907930175, + 794367978, + 696555265, + 653040327, + 906160420, + 671969, + 360875573, + 920652157, + 211872763, + 567621380, + 103294387, + 295031015, + 674135555, + 853107515, + 791207260, + 841335217, + 433337896, + 493999494, + 917674277, + 102757610, + 984274533, + 285666066, + 730585897, + 868368289, + 743806716, + 412141593, + 80202822, + 2894317, + 212704744, + 649931404, + 255365633, + 313685806, + 57933498, + 751608290, + 478281542, + 654923284, + 950451286, + 692620740, + 596616388, + 160419153, + 46210776, + 188926596, + 964312106, + 143496799, + 220148206, + 620414542, + 636565605, + 198643734, + 241261660, + 21423809, + 955518731, + 982878300, + 256641267, + 277847645, + 781043200, + 188913749, + 963564460, + 72169654, + 288319234, + 453077058, + 294041022, + 486306069, + 862077662, + 582894124, + 469603475, + 372667901, + 795305584, + 883613340, + 888285083, + 744274749, + 230977391, + 394997360, + 584484381, + 111381748, + 326008895, + 934960997, + 410164758, + 387971230, + 379021857, + 89999435, + 932886172, + 850820290, + 98082169, + 482434330, + 731406663, + 80051257, + 235153814, + 551501099, + 332408719, + 460504015, + 757752949, + 315714874, + 514811747, + 770188234, + 337533536, + 918171607, + 849308811, + 962738467, + 79384221, + 525260160, + 152481736, + 449726429, + 197314406, + 729327155, + 912930763, + 964585211, + 959032990, + 388299826, + 837934198, + 73094022, + 86580961, + 712637327, + 337805083, + 74470135, + 282166411, + 500303093, + 202276840, + 422866592, + 462574912, + 895787247, + 172947364, + 266965779, + 133405502, + 452639847, + 530245110, + 495993423, + 711736866, + 430833794, + 344794436, + 778557454, + 236165920, + 296516385, + 928083184, + 721813371, + 626895607, + 334164694, + 757739740, + 76926176, + 991331464, + 450533354, + 601875907, + 587611810, + 578297095, + 282886288, + 992919626, + 17055335, + 435660600, + 841076708, + 900875499, + 615910406, + 905587496, + 20607533, + 744540748, + 396195846, + 198834249, + 339249619, + 924658827, + 397500918, + 972423757, + 703444685, + 382701100, + 859700130, + 487786229, + 872686668, + 416271639, + 151574597, + 717666364, + 607258443, + 192804477, + 111339181, + 709842838, + 59855303, + 119634771, + 221165364, + 741157331, + 553124437, + 769473048, + 36283976, + 754532711, + 316554063, + 612759022, + 364676254, + 952562009, + 659775602, + 594203749, + 216948367, + 895494634, + 49958794, + 880355483, + 655447460, + 33189964, + 531341583, + 47018871, + 808704953, + 332814977, + 64930670, + 268305305, + 104414182, + 394472951, + 369342489, + 508366358, + 91994217, + 736286325, + 413432634, + 56421862, + 924155515, + 871671908, + 610408886, + 809497240, + 151925139, + 156884821, + 69211297, + 717002155, + 264498705, + 811653080, + 295444967, + 872828141, + 772742151, + 2910625, + 888805674, + 940999907, + 139491555, + 805927478, + 919907330, + 574867984, + 723666476, + 259617368, + 211003894, + 814240874, + 390931485, + 225288853, + 382652870, + 902921942, + 180436558, + 775491531, + 836499188, + 794889727, + 148307509, + 743133254, + 943530540, + 673922848, + 296438452, + 921465662, + 690898376, + 941480058, + 178485806, + 24988052, + 41105869, + 566754804, + 263921946, + 117178904, + 268360622, + 998806275, + 56929072, + 17814973, + 800348333, + 390747312, + 158210081, + 169622296, + 839333568, + 391427233, + 568298410, + 512771163, + 6333082, + 662796781, + 688238601, + 152014612, + 577838084, + 32606580, + 65628863, + 594178982, + 489494432, + 777780790, + 794114241, + 637476519, + 463183641, + 980617724, + 590345065, + 96063030, + 972079773, + 299720498, + 5947571, + 882637955, + 480118213, + 454519875, + 781375564, + 450705388, + 394333747, + 914562362, + 158195536, + 53375101, + 154000616, + 705878779, + 961408382, + 15632383, + 886323930, + 102313130, + 460533131, + 84552090, + 727327845, + 296900214, + 547541480, + 441032744, + 668576080, + 182563663, + 885540950, + 813397672, + 706980309, + 932364125, + 481102131, + 805772216, + 785175579, + 233764608, + 83790441, + 741292334, + 135692340, + 463074050, + 444629406, + 418755944, + 974950203, + 482567032, + 280357469, + 343538375, + 761359174, + 226518203, + 231881262, + 499679633, + 108103116, + 468336777, + 486045075, + 397679194, + 269300791, + 817146553, + 720667336, + 673511261, + 583468462, + 371033467, + 896974405, + 445142947, + 665599231, + 547893885, + 379383735, + 50065911, + 736135676, + 955318528, + 445399543, + 96709177, + 315582246, + 707721876, + 413582734, + 276204150, + 168041196, + 317484854, + 688147993, + 426522346, + 685888134, + 326492050, + 355362028, + 140993932, + 229407599, + 828694266, + 815370575, + 198776499, + 33615986, + 443816851, + 390899006, + 341787982, + 8619930, + 188170422, + 788267709, + 771804672, + 994544201, + 128082287, + 286070813, + 34746808, + 997596079, + 910233063, + 338130218, + 54153119, + 484192666, + 531752610, + 529787106, + 281815334, + 19622006, + 983208319, + 390728415, + 949600968, + 565254116, + 947056289, + 192627962, + 679798517, + 892485443, + 359712490, + 973679665, + 85091031, + 856757172, + 961031659, + 546766553, + 686316518, + 439984944, + 218706028, + 911397368, + 260540520, + 330397271, + 890384500, + 66171949, + 558784781, + 956412660, + 674835188, + 319607901, + 965521925, + 998987708, + 586013621, + 883377831, + 286909577, + 213260217, + 486323908, + 188960244, + 63815362, + 542384865, + 474142085, + 856411791, + 397136228, + 24630246, + 66583431, + 321205559, + 276337667, + 926031342, + 67256766, + 162607461, + 975309678, + 337990656, + 971663879, + 963880255, + 527931718, + 107448285, + 862164120, + 485420821, + 498184932, + 329430212, + 506005578, + 226605309, + 990684303, + 197156963, + 600110734, + 139011527, + 882391905, + 932559910, + 681284484, + 964627503, + 786920815, + 332881913, + 653270238, + 760650532, + 451306042, + 272187923, + 21941107, + 631982892, + 648867886, + 812644549, + 441579689, + 547202413, + 801881283, + 910528597, + 489667908, + 271762765, + 150412289, + 352857974, + 69728686, + 754271998, + 33012629, + 638060805, + 881490999, + 564982984, + 784912553, + 467860359, + 851650436, + 756894983, + 145355806, + 445821172, + 559871909, + 207055706, + 909071422, + 483304288, + 712896515, + 737886345, + 310878070, + 519491242, + 622683601, + 36072199, + 966379128, + 909956258, + 193312624, + 947985441, + 598636237, + 378499003, + 612612633, + 364262151, + 568070387, + 348109005, + 763433617, + 617876187, + 804931332, + 93795279, + 422138047, + 864439232, + 617060142, + 168934003, + 839528052, + 689295804, + 619629266, + 71533724, + 221128224, + 55517596, + 152521769, + 651069803, + 72130098, + 484446624, + 523105504, + 922383299, + 784839316, + 616070091, + 188683647, + 508264634, + 553522608, + 331571129, + 428219380, + 517121904, + 450123087, + 778073195, + 978229342, + 60746178, + 847353292, + 335736934, + 858032328, + 490854259, + 823395619, + 39470445, + 237959695, + 911597306, + 343791770, + 624599490, + 304869348, + 886099067, + 989967748, + 907556134, + 243094930, + 396906672, + 93376627, + 987734109, + 651490166, + 662316069, + 914084805, + 562757970, + 942284017, + 950512074, + 888011331, + 470368951, + 150312256, + 232758642, + 254627966, + 967857221, + 706896740, + 459409863, + 332347746, + 512287938, + 760035301, + 364776562, + 694333266, + 507137931, + 742656128, + 612430431, + 352795536, + 622907655, + 695419941, + 565110511, + 663636147, + 723143820, + 717213617, + 218478822, + 720022337, + 937529862, + 780770012, + 473435823, + 154749909, + 431310644, + 501085449, + 203969105, + 427353285, + 844437744, + 743299363, + 201509207, + 322504359, + 813086507, + 222867930, + 930882769, + 70735391, + 533865755, + 668408365, + 361384871, + 828176481, + 8591962, + 206749836, + 555037000, + 680646693, + 721042082, + 443522281, + 216478942, + 242086189, + 160837557, + 14178399, + 803102443, + 730102881, + 445089362 + ], + "output": 72504 + } + ], + "haskell_template": "continuousSubarrays :: [Int] -> Int\ncontinuousSubarrays nums ", + "ocaml_template": "let continuousSubarrays (nums: int list) : int = ", + "scala_template": "def continuousSubarrays(nums: List[Int]): Int = { \n \n}", + "java_template": "class Solution {\n public long continuousSubarrays(int[] nums) {\n \n }\n}", + "python_template": "class Solution(object):\n def continuousSubarrays(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: int\n \"\"\"\n " +} \ No newline at end of file diff --git a/continuous_subarrays/ocaml_tests/main.ml b/continuous_subarrays/ocaml_tests/main.ml new file mode 100644 index 0000000000000000000000000000000000000000..4e45493aba259f832c415909c7054763277e8211 --- /dev/null +++ b/continuous_subarrays/ocaml_tests/main.ml @@ -0,0 +1,42 @@ + +module Main = struct + open OUnit2 + + (* Program start *) + let continuousSubarrays (nums: int list) : int = failwith "Not implemented" + + (* Program end *) + + (* Test cases *) + +let test1 _ = assert_equal 8 (continuousSubarrays [5;4;2;4]) + +let test2 _ = assert_equal 6 (continuousSubarrays [1;2;3]) + +let test3 _ = assert_equal 6 (continuousSubarrays [415902931; 343918193; 266220156; 251496706; 916594909; 183487908; 819573683; 410909122; 643194414; 542676937; 741361623; 663328036; 45885574; 599661110; 732324972; 589920561; 212123225; 426626601; 807144564; 694302537; 772834813; 789341879; 392314988; 552007717; 263515005; 391851564; 564745148; 139830474; 689551940; 165378192; 321798758; 251764230; 991334235; 455498208; 876688063; 215275076; 108543552; 182735520; 746496562; 176279307; 397900236; 980928708; 345715919; 739154585; 997386296; 31023045; 222116835; 696596571; 13334236; 105144317; 892424821; 880810494; 458810796; 731577998; 56097675; 350216705; 158484779; 258345418; 316801452; 954710160; 978449971; 398444692; 594275240; 970744182; 962445729; 223212988; 94925571; 889775911; 294377878; 667486657; 396086192; 901351444; 76539600; 279516041; 867398776; 310138459; 904219404; 548448102; 981365777; 320181554; 372267031; 666373363; 206976135; 946980399; 57950865; 651010321; 404777463; 765177493; 398996379; 486642989; 896382232; 82044705; 634153953; 204420548; 81201212; 782193870; 359964206; 507217952; 698119207; 239188305; 205081346; 558756534; 684411477; 305146010; 35717138; 817373709; 572024012; 817729927; 163305744; 596313192; 470326851; 276051153; 927905239; 747934607; 406480377; 443170362; 306728982; 961927303; 665406848; 849498963; 666404594; 89932725; 110023860; 623536733; 804489569; 337429056; 27941402; 911436544; 820114609; 735724962; 849542104; 970410031; 824695979; 612989017; 228198781; 163671669; 425047327; 733258319; 175676043; 235542330; 635435810; 111609030; 748803563; 216347518; 690435317; 348292694; 192410068; 756518625; 141133842; 895277409; 423412464; 982930597; 951557454; 450477299; 377496863; 517720039; 535768354; 168937136; 698585749; 48994540; 981597766; 449925297; 426565962; 59344853; 372583531; 135430136; 500904538; 365822648; 612100021; 118903581; 372615514; 498626430; 141267371; 586331432; 605465237; 387101865; 773812695; 44337623; 500160290; 926248803; 539819333; 37656570; 949653760; 818851998; 648245026; 374331139; 981894497; 903376118; 380876813; 117255510; 90479634; 461922021; 733796555; 775917412; 663608923; 916628077; 598712843; 926608942; 340312690; 614996364; 485920670; 763269902; 222557106; 720760553; 659147595; 798312082; 653358631; 431722794; 874054726; 540310355; 700299066; 124649589; 479420597; 74118813; 625057465; 450014467; 808583398; 666844052; 669409336; 172823296; 15052321; 589243485; 972321292; 216810258; 145194116; 58657973; 879739883; 516664462; 201639713; 547169435; 409245973; 361577765; 813347465; 469742829; 267107686; 108123445; 707331600; 727328589; 158875624; 387372819; 545756407; 495169015; 916966998; 76851608; 159552681; 620094824; 88424962; 567795392; 584383377; 699887772; 543563486; 636205583; 935426129; 751767135; 977879847; 240199148; 535654032; 82285700; 382886394; 708611150; 252892534; 51695558; 543309343; 887453022; 787203849; 230828377; 877631359; 564224902; 847641766; 259416389; 122910781; 819435044; 367118408; 43350399; 719347191; 543652343; 382337780; 69323814; 166711995; 278657005; 438130251; 242251507; 173125262; 143778166; 748412300; 161845701; 404818465; 631928486; 904417072; 134001332; 971231479; 364485339; 167348442; 776007602; 425715015; 100769149; 304539230; 303357812; 587295883; 358963447; 967471207; 148562585; 388835795; 45826475; 334158277; 876319935; 629143648; 424816940; 659259782; 752361212; 431337393; 445267894; 398390358; 665687065; 205928369; 953084298; 138321091; 771947051; 346275978; 560808132; 288186377; 760170616; 50086999; 436606484; 858979244; 394007143; 612374509; 665890061; 159186635; 244066046; 711577310; 981120278; 787759585; 530186071; 722324102; 680279425; 971230274; 822541505; 123414448; 274564380; 471408428; 601789956; 885465084; 57027470; 570865181; 979046542; 180027116; 460014818; 985024417; 560074008; 381781773; 473390163; 525110423; 475707615; 126679862; 514656123; 95605997; 67775680; 301098014; 264024852; 926381537; 473311241; 108705898; 500084279; 516676800; 778974925; 553024639; 555337372; 485450061; 104179915; 803004275; 184407279; 235526325; 371294052; 223093969; 655591449; 459926030; 530201851; 642145772; 525023518; 468809826; 874923671; 501587638; 677137377; 950827993; 480428390; 363995121; 155292808; 923762237; 757371572; 88947379; 694894144; 243376480; 729389169; 392027665; 653904713; 813539533; 862793901; 654334365; 931369696; 68302198; 559183607; 665541995; 221591357; 762741076; 159857055; 871227047; 499415051; 486039621; 159431606; 11778775; 632909231; 787866621; 990429816; 912217229; 239241297; 503344535; 60105056; 465265818; 551428341; 131087483; 199786217; 63134374; 323486675; 491542166; 758614678; 357311342; 572343650; 218913868; 564501740; 322199933; 438790300; 225531396; 198062739; 384893895; 441912825; 175638373; 277513619; 91317600; 148289971; 597198109; 205305918; 249361347; 662630540; 65558320; 168764773; 549188770; 643419810; 876225308; 606985887; 273898099; 375519918; 653568634; 265557482; 326560752; 309328679; 14302393; 569914931; 135218898; 516235740; 400077968; 721441250; 476512682; 483941521; 404162131; 393365293; 11449542; 879912141; 262942089; 945331120; 854311826; 340673963; 896206661; 963141047; 370096397; 301784532; 593329434; 852363231; 711714698; 787822287; 434337915; 152493368; 132734514; 388228301; 709145968; 726983239; 523139762; 768797466; 741788982; 752029251; 684075679; 958927940; 577639504; 944217021; 599841786; 707840487; 248977856; 594454445; 900709692; 467976351; 399766897; 379150375; 607917522; 408334398; 854129910; 619887569; 807290715; 320707811; 549330623; 437307127; 833667633; 943075445; 145485948; 81449846; 928745062; 781275911; 37515882; 950948526; 925455693; 67662739; 762077401; 126687793; 299297581; 720002928; 427858529; 403527296; 982673616; 806118267; 39181325; 81126914; 701223925; 527054232; 477357094; 594426372; 179751606; 324394627; 597846435; 977707861; 746832057; 217609570; 254370142; 117410536; 618146951; 881763355; 823970630; 268544114; 200897891; 443180476; 393233634; 32912048; 263885175; 26709958; 912919408; 814596187; 596847315; 140510290; 867848251; 814987943; 475312984; 885538269; 853418525; 130739000; 280308826; 602266456; 938792077; 308991245; 869648497; 621946378; 943797994; 179675240; 110117178; 41430879; 385218589; 212131683; 369930198; 38140291; 316668078; 624460174; 940497197; 454608013; 833389785; 342236403; 181055820; 493301053; 80215646; 659127078; 45340872; 210618389; 696552416; 837934125; 342997290; 853071954; 734877215; 917544854; 852499446; 254114464; 973800383; 811815065; 108099828; 990819965; 463543612; 530888483; 96638612; 411579764; 934331239; 520287528; 37805397; 921106884; 640426059; 416280003; 912937942; 223176476; 774291540; 814531692; 791424121; 359216579; 111950214; 366505788; 988563424; 295247481; 110137226; 156294890; 419560002; 408577301; 313586169; 550357513; 876308477; 437205835; 79377204; 325471745; 12588973; 114081620; 383433022; 834937520; 409231311; 825526602; 368046298; 400032468; 393909536; 101946552; 540132651; 379797928; 890731502; 857575093; 791295460; 489939814; 89323658; 402991123; 427021515; 709457270; 41336560; 938137497; 301887951; 165545221; 362383210; 810879792; 636549198; 489341040; 823131648; 915984233; 303781349; 479498612; 385001542; 541693676; 573558863; 510891225; 444028533; 889454313; 540363646; 928270717; 88745581; 35929672; 488807567; 447994293; 155494206; 698751037; 298450577; 548885397; 255135343; 667981461; 989740351; 20515178; 401874407; 987571033; 726500474; 571041455; 84540112; 31360380; 310260296; 776215999; 198961617; 417963939; 144956746; 628473133; 772183586; 956822830; 999096513; 43685273; 188445688; 654342728; 589270791; 19297632; 641302262; 188550051; 977227750; 404037387; 169012380; 708262880; 764890124; 855467928; 585262432; 314138860; 366288161; 776621414; 317399983; 844938538; 843064638; 51350869; 375136826; 368803587; 256849950; 919061180; 637721104; 686429659; 400201974; 594623130; 733324199; 119938777; 893355661; 261240180; 943725233; 85372073; 25991337; 109468766; 972467970; 866350374; 133906251; 447989266; 334794415; 256900901; 905952094; 117812741; 220933019; 522344545; 615336554; 26921928; 737757611; 644777445; 319778814; 195153693; 56688377; 912675542; 607989150; 359941448; 426924141; 198326046; 521793884; 610626797; 899273984; 551956070; 860233591; 514946423; 14750699; 786155699; 973917161; 494080151; 649919430; 26479127; 905060380; 418727474; 297174942; 846276599; 327938165; 541235879; 480941781; 90636134; 212672689; 904218174; 143551685; 548377510; 343960900; 33212668; 863546682; 114065982; 999189930; 85082454; 918982387; 656568206; 45636337; 969080868; 217059411; 250798351; 784408324; 884424341; 783340188; 315343412; 193563098; 659735953; 121066460; 650016257; 998679653; 383191728; 612291913; 536058969; 281559985; 446460923; 420342884; 979485752; 695888234; 485554056; 800927383; 585717697; 599539894; 917876401; 425935333; 802314797; 261121982; 585796198; 734136831; 782391497; 521669383; 691406502; 372666024; 56537220; 489598454; 181815522; 582336535; 837892317; 490755172; 558334744; 773718272; 384994013; 984251427; 984679836; 44396218; 710244085; 205938018; 125441107; 249899049; 980373875; 548349804; 415091238; 981065993; 610621714; 93111988; 653339519; 890019947; 789187318; 318823886; 614224585; 633385937; 925582926; 864844172; 7868899; 742202417; 545800947; 561876572; 875578320; 921195004; 931366309; 931275275; 788099939; 417768958; 299851617; 836067526; 790105584; 39692929; 616382255; 98140074; 687177418; 761967952; 772748537; 275315241; 118206894; 619824781; 252652477; 794173579; 186382068; 10723234; 187088429; 414963981; 57333333; 874954463; 412518961; 156763648; 670778434; 340118276; 593541945; 888702329; 829245261; 768173067; 495261498; 599363134; 442116198; 209548962; 157114328; 191145118; 273520023; 521543459; 460745407; 804019667; 669709185; 919926155; 496766140; 394107609; 513190794; 205409200; 290347936; 785662769; 280470876; 600661780; 714026288; 114555845; 800388235; 227407620; 985616086; 153380624; 431848248; 618835904; 466713604; 524410020; 162629189; 556422154; 123282528; 237265904; 728600549; 453960639; 946996998; 126725530; 258892519; 655632965; 411844729; 625879106; 899717627; 321193051; 284821106; 59134746; 208723990; 406193397; 64899581; 277501112; 349323520; 987418542; 560639320; 141917865; 390260102; 101455033; 138984464; 498012351; 982652185; 611842758; 632314569; 283311835; 949015010; 760547535; 953130687; 550659892; 929877931; 359473421; 672262007; 137651174; 474010919; 867041306; 770508769; 204424287; 990063011; 173170699; 394339916; 743592053; 692012165; 550116076; 777700405; 816860400; 967099490; 53486911; 694106671; 198151680; 312070798; 792301040; 352617740; 359823999; 633304835; 241725097; 169276529; 945998733; 618684063; 198166443; 816803088; 283080272; 617690904; 576492605; 578188824; 209324202; 276420259; 841043145; 832328682; 94544538; 118719179; 472245613; 339503332; 175011231; 489384553; 380019973; 358751815; 529196253; 238794070; 607676745; 814855859; 355917580; 996980214; 500731470; 200577529; 260006012; 26657560; 991919687; 294784898; 736175780; 219525471; 637569872; 138966025; 189965450; 867559998; 724256132; 569587683; 175695635; 684850772; 298291560; 812231200; 899045283; 810970786; 286761376; 383402950; 458407692; 930299966; 398095497; 847480246; 431422509; 566428017; 791425006; 130818957; 684618461; 968607979; 618042115; 295303881; 454510298; 563179362; 28870578; 194820456; 568782832; 682979358; 855258783; 78583497; 120494735; 772468593; 227204808; 526472013; 884349547; 952231280; 931281800; 467267741; 653091425; 142902506; 631515518; 253553048; 338079384; 627550829; 76932888; 943051586; 126635481; 500954344; 801682612; 979997221; 643283433; 13698932; 28660680; 441726112; 246449766; 599087994; 287026219; 689661734; 397333955; 949483901; 151018152; 130670962; 582993010; 467929741; 990458999; 528218405; 24211219; 886495033; 344673256; 192842794; 491298802; 302058888; 502537110; 988015671; 491420042; 680424891; 618826640; 226642954; 927551037; 998683274; 892575330; 100849562; 140635788; 50012733; 341035251; 852459121; 108464795; 353575354; 180152314; 635450499; 89918449; 582578237; 318984094; 628506862; 329546412; 611824016; 868686128; 245684142; 867652842; 476617049; 560305432; 628271533; 940401454; 716513579; 473252054; 792790347; 89034853; 455673819; 448349076; 991271869; 327105550; 602993663; 910781760; 245948404; 181902160; 893509760; 802439559; 972008647; 574300880; 849416383; 479694826; 213468710; 686417796; 12131605; 759141647; 673343680; 929768719; 398677744; 230171887; 536229341; 502697225; 8621351; 444608161; 954505555; 320444496; 763608538; 541152835; 754093180; 348261790; 731870876; 297215714; 513582291; 33685032; 945308068; 214179253; 722307252; 494532577; 342070717; 549271982; 678121432; 174626782; 273911249; 198443744; 176441839; 578572123; 283499836; 948559193; 820007248; 777345593; 146463876; 794239644; 411276076; 198687112; 369380238; 234625304; 614278361; 568577000; 929861978; 279832732; 833998916; 887232649; 163297983; 906687402; 221457235; 8196848; 623931127; 812420368; 606172951; 290113567; 283129979; 597980013; 36242679; 903081199; 26738657; 41378097; 662575437; 741675378; 889829968; 288350116; 705852682; 226311698; 170109999; 660407202; 56075760; 43814766; 827412657; 376765311; 661831955; 281993556; 160051272; 319774360; 151301347; 184069574; 982240264; 784741467; 244750084; 618309713; 564069246; 307846258; 700893594; 106386154; 941471149; 464414105; 778073539; 769283539; 3763418; 580817187; 437744161; 151350776; 309962724; 557210490; 191442566; 553664640; 35241531; 244878978; 581571292; 922390607; 100939814; 232335133; 229638070; 412208733; 146578803; 913949773; 14029973; 730579429; 520278699; 729811993; 545322699; 440166877; 582515703; 565588988; 130618091; 372864829; 232394494; 348115471; 506460365; 599819717; 135669236; 603693565; 786042117; 111167478; 265267581; 42618303; 8284606; 233792584; 866084623; 49927977; 911140656; 449105107; 643123591; 687395818; 532818270; 689787965; 790340589; 755500740; 48818335; 196865366; 413225471; 396125602; 118780422; 942775087; 595993221; 850156181; 542511697; 959505827; 668010806; 446265171; 731612981; 621407556; 351925506; 652542430; 450549982; 899159930; 40275843; 719902455; 916579810; 48003508; 185006249; 545000289; 508807244; 492022468; 215760334; 847561596; 257239832; 307116450; 6635172; 964773198; 529186330; 840943613; 768013422; 619013824; 505897222; 766105844; 841605557; 484130869; 233569649; 916450692; 376755377; 479426177; 700999389; 53907425; 597054039; 215568397; 620654148; 446264637; 22768052; 134699762; 740678283; 700172819; 523754930; 294118369; 628362335; 392483255; 131631585; 85480732; 305983558; 809282938; 513706258; 303391000; 446476712; 776161599; 915611511; 201467652; 143115152; 626091712; 112487937; 952711908; 172869051; 451301594; 362766179; 242973290; 393353834; 42778944; 654637361; 777266430; 632176682; 990433001; 713784885; 263688680; 284520555; 737811258; 224396004; 197808097; 341480987; 881277109; 975537957; 544704402; 78626213; 100125785; 131586059; 979527441; 623791799; 228831939; 974705152; 368335886; 202810047; 869593497; 643604524; 696160398; 891428634; 164292548; 898212469; 111586326; 859013929; 696000410; 318421120; 898674055; 497806398; 814066756; 834522674; 357888468; 816841562; 211728407; 702680887; 874222899; 238700034; 421065613; 54581; 681152962; 876568723; 285497070; 329623789; 75975532; 920867244; 251148866; 681414139; 957853167; 244914221; 752228579; 279339488; 749666579; 388249400; 4801154; 78712371; 354388024; 242310714; 735109332; 935100651; 795591037; 633980401; 329092036; 282510854; 440041810; 705635003; 936183632; 256236473; 578547139; 161836620; 940234184; 398847610; 33611306; 965471222; 381623886; 955201404; 259720576; 939499629; 643399769; 164048277; 304481041; 400817342; 594069941; 95186122; 657805226; 629679545; 836358435; 881607500; 120267799; 171431270; 696611255; 646038085; 424259836; 109764682; 542153748; 93789679; 724228038; 705852733; 217642123; 446402304; 491951158; 980474347; 708377586; 842372511; 976882548; 432496085; 267659998; 822594553; 130916915; 5134118; 356509195; 263898477; 110999291; 297873854; 355324409; 163011428; 559408446; 99435658; 78131107; 231995598; 815207977; 897258097; 839188204; 784000383; 159108332; 696359633; 50932674; 110776450; 466407712; 952209160; 828860074; 47546523; 891243967; 252519533; 164877954; 381444813; 491867704; 791304451; 17331092; 964255464; 668213815; 871275306; 873264764; 593039755; 187112222; 343064180; 542773845; 264582860; 660393043; 647601005; 776194456; 896998029; 989291709; 113474139; 88662129; 769505031; 482152702; 833393927; 355844506; 894417858; 292492921; 87604666; 902012321; 586207225; 501646501; 981754779; 502288558; 877379895; 706413168; 576148970; 410578235; 20945747; 989181350; 17602072; 683196311; 188584409; 131982612; 978220697; 306486586; 759703963; 144768016; 365980024; 65320353; 799275979; 92406049; 998675190; 338575038; 920898466; 53836609; 968526252; 853152894; 789501549; 414800251; 771545069; 23458685; 639828234; 500157268; 856064389; 316425486; 740406692; 200040871; 83306361; 536199447; 262281238; 267492277; 855876600; 372826863; 921586054; 962690980; 332166512; 846311021; 208139679; 968877624; 900835663; 526083887; 936151061; 58566586; 865214042; 189345854; 42569812; 962868930; 905358820; 701685172; 447789891; 902949797; 415618356; 282859584; 650268084; 8580589; 411700698; 666725777; 668158529; 104897449; 896537086; 488498362; 768907014; 807105438; 356068079; 385921172; 60483201; 174599726; 697904490; 626152102; 625759667; 945859656; 933388664; 566902118; 530910643; 535038847; 535951233; 758715057; 672129773; 898138443; 46515879; 180988489; 713885754; 409614037; 904997139; 622838313; 361280318; 139586565; 805605129; 41162927; 841603864; 112220197; 986753209; 960244374; 728915396; 474392390; 426945710; 634225484; 964830741; 429334280; 97755248; 106752260; 852793020; 976235925; 295065926; 825804272; 415663815; 431893425; 636849261; 727164446; 598380132; 345053103; 455043602; 775522277; 321665020; 742300155; 169443938; 488823775; 203696483; 75850661; 392404870; 591138159; 349384546; 387939524; 11825507; 930571331; 426634776; 680474276; 59946238; 201287729; 292570; 894720462; 345091225; 995739924; 746161431; 912848934; 557137626; 196809404; 835035144; 35619532; 974242760; 592392653; 863278427; 19959589; 286505553; 959675261; 715976838; 182025071; 620280942; 450656400; 638674780; 80528605; 530312303; 4128717; 409664605; 796178829; 414779144; 6030155; 761645867; 35248316; 964474520; 910906170; 268552509; 998034551; 884625023; 3009414; 342066015; 340353639; 161064763; 994890192; 166831059; 621435399; 625304861; 518291640; 557128863; 446249797; 57288599; 152426741; 348092660; 787332614; 809693333; 511269214; 351901108; 944629385; 875581607; 592461905; 121901661; 760211342; 639602791; 959313310; 929319598; 487022892; 603282233; 894982964; 770683677; 628888089; 759460265; 135638920; 121279303; 428917572; 930555972; 21832857; 712376596; 721944545; 586357821; 594600467; 774164215; 649113424; 2414758; 232212123; 3944493; 467426076; 521470628; 995071724; 512231976; 684765594; 247706270; 300585372; 191150210; 449348711; 986573883; 861011457; 215489592; 25705599; 354527756; 900779411; 958352047; 602167790; 989148488; 756985814; 220859629; 19092827; 350932159; 281875443; 545206440; 12865966; 259580504; 432160769; 121654297; 264983790; 501681741; 917960333; 848601766; 163753074; 384446515; 630146161; 211261683; 264531719; 964161482; 394331624; 863397641; 754018903; 21223153; 892687164; 541096705; 887768692; 24463639; 586500507; 637641921; 708831194; 656192636; 655836254; 651099107; 307302717; 812817593; 71808166; 961531667; 481937901; 446164337; 752855343; 371967589; 973987233; 354413351; 522229860; 902204682; 767069940; 965870175; 966880049; 407881245; 780805914; 674811574; 91140507; 994188165; 732896392; 891802091; 158572499; 857223349; 287637819; 986750608; 623374724; 376166470; 950447278; 904412069; 840955386; 401040676; 30513266; 968937242; 953271139; 375372042; 550583618; 562196031; 11916909; 321064846; 562063521; 659899177; 855458794; 97125243; 183133820; 625483434; 149876836; 892305894; 698214810; 670574053; 759144613; 860249775; 799085495; 511329745; 683228791; 798773339; 985665847; 486195449; 35760099; 457314137; 432876689; 128661931; 566801794; 8669810; 489015798; 432577431; 967334461; 988562663; 428296866; 253609377; 626285956; 63799772; 91401723; 713874260; 27688639; 532659291; 253804246; 320566373; 481349217; 774296015; 205418279; 668154756; 686663195; 160111065; 702289077; 384849788; 554419790; 10665826; 907933946; 77613660; 572559725; 502014564; 557192130; 141557761; 709364920; 517389599; 814216513; 447442480; 506846217; 870221089; 125197552; 150325807; 262592179; 506511418; 135061498; 477280673; 740807876; 273773181; 642724083; 314114600; 593756644; 90991288; 853624163; 294179489; 448501554; 665893775; 467779444; 718626157; 404790335; 987039675; 708486901; 970122582; 101432605; 509356055; 501575755; 2563587; 236884014; 908163194; 115523961; 19307673; 842130071; 453858342; 947561791; 656503425; 790588642; 706334271; 215151268; 21285842; 416751109; 985340660; 310289405; 653431282; 501585611; 274181187; 899423229; 748337790; 157178486; 500493615; 270986535; 900485172; 653911191; 320367950; 931052248; 201170969; 554894802; 26300819; 777947238; 498368070; 200020178; 536502490; 82201567; 594930838; 997168827; 977877337; 517137844; 833697582; 180074720; 690381186; 745339479; 364247996; 865682377; 514915225; 179906767; 532890384; 304094368; 248612046; 294792219; 833121134; 550428759; 305328370; 701982542; 301052734; 43851237; 307291628; 973874210; 918700840; 346348197; 796604574; 460052835; 893496414; 505179361; 780071430; 402878401; 171469672; 942128267; 377639456; 253858839; 830942035; 964214713; 458806493; 473632631; 981081405; 922642864; 295549351; 678430230; 914102422; 509611926; 673829145; 627984628; 635600513; 709754968; 290786731; 989744342; 950365514; 766903751; 875964010; 247747342; 192108339; 308274524; 182263423; 562107454; 141241451; 156198738; 425937800; 224086285; 914288065; 404610570; 851852936; 512910205; 43222368; 878034169; 138243509; 938038233; 410478860; 270819312; 264971617; 521702342; 508265327; 584474265; 681247831; 984288181; 172974387; 272581074; 1353079; 805427009; 484659550; 266372693; 633505277; 536132958; 304533156; 948486152; 683118565; 764604085; 805185808; 470262646; 468260655; 475248120; 287633800; 468533733; 258984448; 459073886; 706767891; 236223445; 175585499; 764874224; 942725468; 562574909; 605406847; 887007795; 685272206; 423120220; 137422838; 492249852; 854647241; 198869029; 522582948; 659430846; 917506212; 400306500; 221109888; 341616335; 360738075; 194576435; 169001618; 531509871; 250853688; 324980221; 456714738; 588019672; 495029531; 845713805; 168510951; 978648511; 500666992; 935600802; 762702298; 341328805; 891673763; 301395736; 264730296; 18515792; 484386422; 84127533; 945270089; 640392530; 33969145; 66348030; 204224550; 102584800; 941044349; 131168486; 862882976; 626330819; 459187126; 595521113; 639637110; 173520802; 602440711; 464637515; 143350828; 574873994; 220125693; 613920077; 823042421; 961302344; 793300569; 899578075; 476509459; 323880712; 683293263; 202808518; 585403016; 326329579; 506019079; 518710214; 582497911; 31641984; 920877767; 888450444; 18279944; 48845127; 388522338; 156375295; 685914448; 858397861; 655355569; 80582599; 191712976; 164309889; 142186957; 943803451; 663914691; 646457243; 970009725; 354737149; 417271195; 560883913; 849007805; 838228256; 149440714; 300893149; 59920171; 930281672; 772235928; 242922802; 748561393; 505300356; 129374686; 176169178; 314148666; 739272254; 504761119; 916198290; 653125549; 558384527; 519094754; 258306202; 114719999; 659808559; 8954796; 645212490; 790321989; 158432393; 181222855; 582573524; 347402695; 699753381; 442359487; 359750256; 508747627; 398594543; 870387256; 963415522; 724574928; 653436174; 414480107; 721490191; 889185828; 906219250; 568782816; 537589789; 716532175; 546722697; 777643945; 852130035; 468860539; 7136281; 170526545; 885543856; 82783488; 960449022; 836992151; 514040329; 829975974; 318417595; 641513350; 302678673; 59545782; 42738923; 774542038; 905581919; 419940574; 675426138; 989452754; 385822280; 23332060; 503843889; 739527422; 505868863; 699260049; 188052797; 14161944; 196425888; 974356665; 123482602; 108328254; 87491; 209036214; 587899317; 960678588; 409254501; 165524498; 875497777; 419471823; 384892271; 238034757; 563228577; 235429391; 176675284; 241532658; 19271968; 655004281; 667824195; 910879418; 256305800; 161519927; 396332921; 169550176; 552596823; 369756125; 141390563; 30165568; 980367986; 159807501; 788538051; 24076561; 926637406; 961751216; 324039683; 561135398; 656064151; 897044598; 600511976; 454395708; 205200052; 423051082; 395475821; 845123549; 754290907; 648933244; 158288834; 814191034; 130171591; 195892347; 168525314; 703382543; 997089887; 914834348; 40712576; 427385412; 732430090; 356998681; 55673321; 524723219; 663416841; 564219561; 564840225; 79696385; 556073553; 707208933; 904866516; 280555765; 818083286; 991137230; 824498864; 688568314; 170313710; 515672966; 159115569; 368665922; 781463703; 308637530; 851713997; 31192882; 209788821; 784732418; 673355249; 105154249; 288939922; 291972898; 896421883; 592236738; 706378062; 451867015; 217051569; 292049552; 435396117; 490839926; 779589312; 46507405; 365809494; 852138828; 332718164; 264344949; 907713277; 902999529; 340981875; 992573993; 432887883; 763008077; 540261798; 290691367; 577532090; 180110254; 708922303; 301164153; 328183624; 350475206; 132326927; 563926674; 199917935; 876860122; 876944200; 345798994; 941988910; 967920288; 660162865; 705579271; 239829252; 512245670; 504420813; 822998846; 503533036; 735456800; 31553207; 949425823; 925406174; 684600317; 961678582; 315635977; 451562628; 265510105; 914414632; 749077481; 183981963; 876324458; 594709151; 2415680; 292759144; 221872720; 842964836; 21108827; 929370588; 951935151; 491465769; 188984185; 21789713; 35819677; 799353867; 151215135; 731521792; 183685205; 952687401; 128692770; 953799857; 194612277; 941157061; 535039276; 917931754; 628618722; 534010640; 195685479; 678036431; 467654065; 693847026; 623920989; 742239644; 783326200; 155021930; 711597468; 980106776; 946672526; 179347347; 243721669; 729943923; 155539334; 131500514; 790593009; 169118489; 257009110; 941886483; 446374905; 497385096; 946380366; 725922536; 395095751; 347493276; 972709897; 360229347; 509544962; 525716197; 350361286; 801728928; 118222608; 33113604; 331217478; 444729392; 593230458; 30719189; 433945225; 899385744; 970325010; 813441208; 706390394; 289831299; 861526262; 11998444; 397164252; 848342039; 543245963; 795138065; 399173680; 705074570; 720739547; 278453088; 285185252; 978351894; 59235513; 91750329; 526182231; 25717729; 277883658; 570883659; 111504956; 751345022; 311887111; 387426878; 305247972; 697111263; 820019424; 549168345; 727937903; 409448308; 871266275; 824153472; 216373083; 191211148; 448842413; 444892338; 907140569; 135480380; 121359849; 76328556; 157574604; 901204338; 383863570; 274362722; 592825990; 605671360; 821281508; 49809865; 57744112; 204234285; 735643129; 638923501; 440086792; 709316029; 498926061; 309698225; 560778870; 467769445; 787278636; 17572327; 594392990; 893293763; 670029764; 484477221; 214091117; 753398345; 525451993; 853262702; 127000233; 853471665; 847719135; 439661331; 60562497; 446341768; 990186659; 729298241; 821428284; 432415196; 320514917; 787195136; 824530040; 939554800; 572021302; 264844651; 87550257; 143559288; 641214401; 961704; 271292539; 546329987; 759918532; 824700895; 657950775; 376517340; 136815401; 590783699; 299981013; 889112214; 622831227; 647886225; 945713028; 556087155; 201629127; 703991759; 49674453; 950573617; 920036148; 934861798; 559181277; 176690109; 56644415; 723936341; 40711908; 842650839; 437335441; 312761762; 45733749; 702891371; 592721051; 779314059; 755279408; 707351199; 995477445; 35627566; 275777431; 651906209; 707325827; 314246581; 366587832; 436452577; 385943554; 244764218; 196307856; 749134716; 448204136; 672500824; 875285195; 988257381; 501556942; 425235210; 251132430; 212561451; 363780744; 779626108; 474867596; 438935631; 671036210; 642217212; 808293878; 651218474; 595273753; 471795150; 991634381; 623073862; 714222408; 712361641; 104696774; 138284603; 64215301; 584356429; 767079497; 538805848; 756678304; 631660685; 751535754; 277929961; 196101126; 540771616; 921335378; 575394998; 626149682; 29831438; 528530805; 688473265; 65373099; 393867352; 719021064; 933636066; 278215282; 793601014; 207154299; 994201093; 687435040; 714420099; 61542852; 134559643; 336167506; 712632555; 808916300; 84174198; 367113856; 90690961; 906283671; 545347122; 290794013; 81473713; 824921536; 585082274; 762958943; 819865035; 97716948; 882138458; 177039546; 302292373; 876255621; 13656249; 686378188; 776733755; 646303364; 265037697; 418882722; 934621415; 59455839; 770993104; 690374845; 620860486; 306800565; 102638956; 249114117; 1361679; 655571951; 363732675; 771313247; 587541758; 472950018; 352561537; 438972128; 815825057; 659185329; 231460909; 778161189; 338383234; 331073880; 243888299; 845474066; 692722367; 684926257; 107259986; 726046672; 297000078; 525324147; 588737211; 367206117; 930221753; 682655152; 930229397; 404293378; 318364357; 166218879; 668737992; 560275055; 71067837; 259370899; 836904130; 258163394; 977687649; 206948815; 144271242; 125593593; 681725171; 12730137; 618231856; 8053600; 871570189; 98121064; 797963164; 988867746; 875466438; 435963767; 915037950; 240452333; 597690992; 51257336; 201397400; 444915041; 768969298; 984183653; 51104147; 393013678; 902940549; 674031514; 599027441; 750508791; 363746870; 925920449; 247735641; 426063428; 898000847; 829983881; 562285827; 783447218; 64299320; 288735473; 461458924; 883758583; 617924646; 695380609; 426529013; 780856479; 540668202; 304055968; 433442878; 712210496; 560521401; 820321122; 481086660; 201463147; 373752564; 884526811; 626075310; 19089338; 948867750; 426303328; 230835011; 763132673; 692611124; 785798525; 705531397; 529357762; 564879972; 638215764; 151733868; 510779198; 315740785; 924116968; 587219043; 79446640; 213890462; 231617374; 964891684; 889791689; 668640466; 88550267; 47048711; 443436133; 62733678; 684990526; 289513450; 724123189; 433652105; 226738259; 831821741; 647409553; 998982203; 873852795; 242194410; 688438769; 869360118; 484237129; 155625306; 405586887; 207615877; 498835533; 898959378; 578215941; 230344009; 637230669; 746545734; 857648034; 112222274; 272179815; 547745844; 883604447; 621742824; 54555314; 455834807; 186728529; 136949635; 509063068; 58899286; 111694648; 486509872; 280536314; 888338957; 564037031; 194273036; 770959681; 767353351; 580785982; 289136155; 351758724; 319853571; 892756894; 23988993; 867831183; 953150149; 22164904; 264858929; 203518089; 590008073; 335875412; 282954212; 108700567; 211439667; 794484573; 576085612; 144725404; 519497181; 504422927; 591893887; 3425973; 57504124; 358897482; 903470466; 708298948; 143835130; 282858492; 194083521; 959758225; 960257393; 679072579; 631313489; 999537349; 543878193; 101215271; 331641824; 148813252; 504390411; 593966374; 130352330; 752807454; 647101776; 820029754; 596217715; 983282518; 227345236; 371080203; 39045450; 577253641; 867539365; 551223588; 744180110; 887942973; 778989696; 658344192; 671216812; 101931662; 980573371; 864688771; 332148935; 493406879; 912643998; 110067830; 471796640; 841582894; 886229398; 574154832; 197682510; 212953097; 763492600; 766751726; 840345676; 720958612; 643531644; 637509544; 529331794; 899771987; 840641903; 153724109; 78385266; 839140131; 610645360; 164629148; 642749208; 4421027; 69807590; 23360852; 7020035; 877177343; 108416780; 143386496; 758121575; 881384844; 808508244; 275046481; 422103057; 917292140; 567288480; 267152205; 786655659; 186847654; 665848783; 120604507; 704446652; 909240930; 766275756; 923307169; 710809031; 502746171; 977398420; 417918142; 248303999; 371910201; 732799234; 168416168; 875418307; 582348645; 361637032; 545559979; 401642261; 534123380; 263497778; 521433608; 224845182; 340703130; 907360572; 96185174; 559034378; 584161819; 634989208; 977895406; 163334175; 32301740; 166986686; 766896875; 277741173; 561001873; 943679277; 200736151; 264145803; 747836643; 792980288; 546009057; 499732409; 40715069; 50695203; 565799502; 828652882; 506868534; 233381541; 384550692; 993152294; 795961362; 337284145; 666587260; 289816126; 865918503; 184638132; 576476971; 855766564; 588908155; 396128143; 502396401; 827906009; 904161006; 382384696; 861715844; 132742897; 28024347; 514334491; 614845196; 181999113; 212267557; 208005134; 217249677; 962224102; 772558263; 455268895; 579124267; 148065825; 77777428; 765597927; 919213579; 473532652; 703363566; 745429475; 725888791; 130863808; 76317777; 8437889; 686004386; 337404769; 126267359; 358003748; 400393510; 213467185; 256601769; 841775526; 26665688; 398269704; 120445415; 871095602; 313473180; 735577060; 814897881; 575936677; 901658947; 666598941; 855209966; 938541398; 641652983; 558279227; 68416213; 669858067; 774856151; 559025074; 386415435; 238206531; 51581719; 979897606; 970094486; 349945294; 127827951; 682965401; 332498847; 875467006; 485962539; 290592472; 73213353; 30420750; 30994305; 84277410; 245847874; 350635120; 216732562; 425032605; 910795465; 528276986; 23436768; 465001414; 490505886; 237810766; 479041335; 838368902; 102583395; 323441246; 891864073; 683806601; 136608862; 187436937; 382450689; 94924978; 362251654; 969652987; 401558242; 148807841; 381861825; 684119775; 168347410; 862425263; 394537128; 129602549; 197847870; 978137206; 83817114; 453898620; 955855594; 905276256; 913200900; 589482767; 213136797; 126106883; 564645837; 994350457; 512970598; 237933079; 401004099; 682008451; 769178203; 337849359; 921681489; 417898096; 323839044; 623823174; 85723008; 634068222; 153318662; 136744616; 534625271; 923798641; 342620643; 569799860; 135289623; 281933255; 138921049; 984712248; 904251677; 468017258; 104435268; 54467199; 596535401; 855806457; 948255271; 453634040; 767376716; 864304711; 20895929; 249203434; 825573596; 554395363; 42363227; 742590674; 359287752; 301161333; 812112098; 456346329; 267269692; 782975027; 593850297; 774286012; 223156356; 219999678; 636023742; 954353006; 264700885; 74592620; 9306340; 978875130; 607013509; 572794344; 737590354; 840018898; 345948514; 789047865; 590810027; 522150694; 751470921; 514333725; 282410251; 209692242; 145746425; 21696467; 366057517; 616715532; 10417841; 914078277; 895144716; 276778205; 610426832; 211457085; 810541046; 204825452; 268969612; 492814793; 481710984; 486257420; 293018120; 635094922; 850147771; 616242522; 199004439; 606207999; 987778471; 102343084; 288918600; 705064550; 617382795; 645185193; 644183054; 279972916; 319226118; 560948983; 942375225; 147172918; 172981200; 839474244; 893903042; 72761109; 982514472; 416665095; 743892418; 206139727; 804809438; 263497802; 343237104; 179378397; 486746157; 839942908; 275217159; 532092094; 353897692; 848255469; 385506512; 301839227; 640979296; 446511670; 459279365; 868955420; 815026528; 993110298; 667834189; 125797590; 973267361; 591835244; 144406088; 639364945; 494750170; 222999574; 923995566; 286716235; 662902511; 269082009; 69968867; 364116727; 702367426; 669263622; 598757742; 176660374; 115892541; 527588488; 266123971; 691785196; 509634063; 951518663; 170071456; 975194410; 50622651; 411512883; 59670512; 367652545; 460068608; 217584506; 736213512; 548359003; 826829117; 411004938; 614944882; 913024192; 284329730; 595368049; 429886751; 729973594; 32152604; 796303530; 924245042; 126752684; 7576568; 618616671; 427149452; 944720644; 869613289; 993652463; 756624274; 335458295; 917416480; 22087514; 639889384; 191755521; 407910528; 657353823; 913130230; 114044139; 750872955; 330146788; 645420827; 460095164; 867425183; 536744238; 905903550; 53026344; 678730915; 345580173; 752823115; 948346113; 858452647; 768253890; 975913750; 806033642; 517887012; 253572862; 733835084; 479393634; 856753266; 86549889; 145988337; 124512547; 869625834; 625218842; 184703371; 868299878; 12127038; 980280681; 142925750; 198201609; 702181022; 887150684; 900888333; 687973213; 107868854; 423695358; 162376663; 128647083; 893492704; 127624858; 2237705; 534380460; 624884813; 283406942; 256226786; 907060801; 418055396; 399633442; 784165780; 749779977; 418559083; 299348072; 107750855; 265471494; 379201738; 249284609; 637562724; 88886506; 502024313; 943292346; 651542483; 373803631; 932440516; 652257982; 268479754; 958516031; 447813301; 753396471; 821791096; 686529212; 776584730; 30838080; 252875776; 114630461; 993470059; 104045743; 245573819; 621700203; 100000597; 35405656; 463482677; 754876259; 738876608; 99301486; 426620328; 196980577; 298423183; 484982255; 840507404; 390064205; 7516910; 810682321; 279064637; 220520230; 452273319; 76657611; 885431741; 990023977; 645344195; 633702472; 336463253; 441053010; 467175097; 880764478; 778467388; 510579257; 381848780; 651388414; 360255611; 524323964; 420676763; 261321206; 147830082; 464845052; 382651053; 599404904; 528131057; 997545268; 107825578; 946379193; 721486320; 95698601; 545426131; 703343450; 501727882; 948923279; 40889905; 454114101; 423876743; 907342258; 855496298; 131051661; 224213928; 298280693; 271473571; 787717550; 238303505; 771113048; 558740694; 886495008; 876193924; 730651202; 328057486; 2570045; 230239227; 472616878; 903704852; 316239340; 549306609; 825012922; 179050315; 379029791; 226700157; 688619762; 682127999; 435172760; 295337115; 299740176; 33091827; 231368819; 737662927; 176981076; 518578681; 629760355; 383403231; 921001854; 122745255; 350841562; 783406485; 65044239; 229063536; 116669357; 474162451; 993863307; 10591769; 228725271; 252229427; 811243155; 248023718; 43476370; 366293819; 224912789; 496739875; 119836100; 716808823; 86750966; 591768774; 750654567; 827798010; 594618620; 139543045; 285111750; 993944687; 871777310; 529263520; 2491444; 350737731; 410145280; 366086615; 331584697; 255829950; 563047200; 281712479; 99878733; 788877707; 499602114; 394042971; 314369216; 495280652; 611555499; 41598963; 639588275; 683531562; 914633713; 939063768; 883301847; 270171361; 742300925; 828725969; 675676351; 896288257; 599029718; 92310751; 190625661; 741571778; 536075373; 350286997; 438083707; 751720509; 176981295; 838155610; 101136691; 676811360; 557080919; 233661205; 267771228; 66159654; 960114060; 408258012; 344602266; 405975422; 853679131; 505189221; 595828048; 602373072; 865814659; 824318709; 993512594; 198841049; 588764895; 242390758; 917728097; 191728159; 228072236; 818047093; 911125829; 707988218; 855232458; 257103194; 409433506; 737016235; 657751438; 158388726; 565286151; 336872084; 578728743; 363890951; 196555643; 213470895; 129687054; 376524078; 192754732; 309027010; 245996320; 942849248; 663685761; 958781227; 891860935; 230654850; 681472496; 290676036; 183914244; 515324247; 782387978; 133752198; 251748198; 575626797; 4744706; 981225537; 492109551; 472034976; 276080935; 798196651; 184202960; 734028736; 165849428; 668204662; 406669073; 958889704; 447856431; 687151444; 301833304; 22293577; 416462780; 611246981; 484354792; 380016147; 734627360; 912126177; 608825541; 799283595; 202746384; 679174304; 75122989; 727078983; 530207873; 853087953; 733467992; 580437748; 241683407; 24436740; 195380892; 64726197; 959669596; 203532967; 372751273; 190414363; 371421388; 819483556; 949681580; 644798924; 489058664; 195157903; 621337400; 22943410; 623248722; 335274653; 531735764; 843565416; 458375156; 214713216; 660247216; 990050864; 547012690; 495265582; 415733524; 172230384; 381253795; 913916854; 25046539; 564656670; 339507523; 666849790; 932093525; 580500555; 398583249; 507285244; 40213039; 896521978; 679784543; 610415588; 360346220; 963596874; 764341214; 166507994; 583381648; 913451685; 910228806; 70016110; 146181806; 656561171; 877490613; 470785767; 240757135; 351003919; 933492685; 129973319; 612760171; 685945234; 936316955; 157209987; 167322790; 475270432; 661852068; 40760522; 321160632; 490220187; 654616977; 780974074; 990358749; 633694834; 833875007; 821462137; 226792602; 33270772; 975024790; 914839843; 172085404; 505012305; 669314513; 441268005; 269149629; 25437352; 388918471; 725035515; 595547836; 712909482; 327248841; 324084760; 732018024; 779231850; 422202330; 839776314; 313238497; 945856090; 191419340; 714748912; 330975748; 376824936; 943856371; 55301267; 78130381; 742146555; 940377222; 728085421; 241170881; 996278675; 64033377; 126502693; 378094133; 4191570; 785515694; 329574009; 296919026; 368902403; 643790918; 34741782; 919236768; 145945153; 660958952; 469759148; 970699236; 193173827; 481858074; 842124486; 70196283; 928025070; 481406598; 567181290; 539415305; 100992833; 428202222; 541855117; 763076202; 15918991; 605057282; 99973347; 508169594; 91993775; 59313774; 810641134; 93397806; 663675399; 695801249; 501086788; 874329454; 552686942; 392797584; 43819161; 712866330; 64460756; 931774556; 23909248; 246079665; 666648074; 886365491; 287020519; 595845193; 208120248; 746526051; 727757584; 425410708; 128954719; 469320168; 958471650; 201012359; 820967521; 729957117; 142035133; 312001085; 348573255; 780642124; 699136244; 477438; 91016521; 533043217; 861272074; 429765267; 140984885; 846583794; 29263049; 672757588; 677799486; 348995735; 365953335; 992684125; 205460549; 672660935; 869693663; 48706690; 807798182; 713409265; 220670137; 963434275; 165584667; 179727103; 876165411; 631444513; 217173822; 174068266; 812025033; 966664255; 646825441; 502779315; 630642929; 323480221; 163263983; 227741391; 810848055; 995202920; 446789761; 455292839; 554944695; 573330805; 272458145; 278413775; 403991316; 229026251; 578854845; 261859311; 168782187; 367565029; 239488473; 772902537; 946032907; 881297287; 532867217; 979536; 495996350; 170441496; 369662252; 683323261; 605505351; 846048365; 681988554; 201363734; 553837201; 374503957; 497047332; 555162585; 447118438; 93983070; 742345346; 416909861; 13186265; 655924110; 559490987; 847530705; 986558911; 477360381; 877531297; 998011222; 101997728; 674850970; 648571724; 259556387; 662460750; 86215258; 267201454; 659290731; 196065039; 713635003; 576493323; 56255900; 722184793; 539578902; 712457532; 325252535; 727052093; 545660196; 348011169; 684527121; 365305796; 491247205; 504244792; 748991041; 865933157; 928869790; 38824884; 545969702; 238119302; 308651504; 586957397; 27003841; 354121134; 284977856; 690125034; 551936449; 196959648; 856472947; 705930283; 832274196; 516247611; 137851558; 109749826; 564029660; 536657965; 623263170; 132926658; 958615932; 77223619; 790122672; 462791798; 995851766; 809082654; 391876570; 399296975; 73170126; 564239025; 236032980; 31996854; 504862092; 653309606; 402967218; 208314652; 564014667; 381441131; 919722024; 45277253; 406524165; 126547565; 679260126; 183900673; 588836463; 192900873; 465866748; 429975321; 834400891; 2709735; 46576728; 227645947; 420641123; 578687345; 508734750; 890573014; 994353411; 791276017; 841177987; 973663552; 731386841; 678696775; 279550220; 117518211; 65991158; 777610701; 52182721; 908898233; 939443823; 97165342; 836858550; 984967036; 70138757; 154158881; 367194647; 670377646; 742957068; 711806840; 378483531; 138259937; 249400102; 916979392; 284658703; 150219237; 178124802; 308605545; 558079398; 775294834; 471978839; 717383227; 690660851; 328198071; 65588488; 174063478; 617930904; 297507530; 748311724; 340268090; 982678211; 974493045; 670825499; 742975792; 267949660; 728312619; 285184117; 955587905; 613859533; 392613559; 690436128; 206482246; 2620614; 266996771; 439780760; 814225429; 236102582; 563020650; 583993674; 417117914; 539876842; 287465989; 312956006; 191898225; 682347642; 186348032; 738100573; 74250351; 310962675; 278173500; 26277619; 562593629; 98906068; 18524546; 461440557; 808930329; 652659940; 446502945; 977922529; 626190905; 307175651; 410927850; 638141659; 546777600; 568938130; 869950638; 984583110; 862123711; 366962939; 323418150; 891823892; 886174797; 72681806; 754973795; 857640166; 977371435; 666589443; 982351207; 611142023; 430424743; 898117185; 109834790; 505344709; 665584980; 142915231; 437938791; 351735644; 359568051; 423774480; 6993992; 573096669; 119084755; 321679538; 578402076; 859483582; 734392267; 553355427; 729622436; 698468334; 702995230; 249375369; 629324803; 975130992; 700810792; 763506525; 366135890; 283501465; 966224214; 786096919; 706201229; 142799901; 130011144; 785029656; 365861145; 191448398; 114212590; 56662468; 732047856; 879855790; 991391731; 446775589; 728363071; 672806603; 311922830; 116797573; 945798072; 209626938; 5768610; 195712452; 674470566; 287479903; 448418710; 689257371; 286618423; 349748598; 204060902; 800285695; 116176169; 745279582; 429016182; 577449011; 788569180; 350074207; 356785891; 788567881; 785667052; 43542200; 480488796; 249669200; 105136237; 544600816; 868520580; 395588414; 854839876; 756539574; 228655548; 513009979; 213197658; 505255834; 416624999; 139920008; 809601338; 299175112; 79071848; 242175475; 98353076; 559975524; 286423143; 261250023; 732019233; 498978537; 61547648; 907239492; 985299253; 823428249; 888020510; 840354925; 152693989; 731183523; 151394998; 588927556; 396673454; 952504161; 266679048; 716063050; 980866322; 285869290; 898620073; 783572920; 742510239; 979277325; 117279074; 996939203; 14083716; 88780471; 508373183; 86949684; 700714485; 352219233; 676018866; 362905907; 693996701; 352509690; 873693881; 453350373; 662600963; 201915154; 750259490; 980342462; 373432001; 755221048; 494867575; 294395799; 459872352; 110887653; 325028922; 930857073; 359537548; 248488991; 122788110; 897009353; 434597644; 953240577; 58968576; 60702228; 851818058; 539430818; 878625361; 930836394; 907127584; 256582084; 239390735; 713797461; 494598528; 389254308; 512434124; 953770806; 463683548; 727290855; 543846469; 241562910; 919747212; 107438618; 571297294; 608177854; 968187599; 449800925; 665613826; 589680529; 298816103; 941600680; 415710728; 844773557; 959409068; 944495499; 751928206; 662509163; 521705053; 995173179; 681505678; 130104027; 307499614; 378472544; 32294738; 809755369; 663014837; 81569241; 710249283; 366459629; 499871569; 438015740; 470492309; 225828636; 379015622; 632696719; 980342250; 739693138; 708635066; 671824092; 114670939; 622178303; 895705227; 458574527; 330284024; 976947197; 282346755; 576486025; 733893824; 479488271; 750441276; 354967133; 479628779; 634488686; 350267066; 458881962; 871220161; 241438735; 201711325; 553259521; 444702021; 88967059; 998693553; 984089323; 2196082; 543723663; 309150785; 2353438; 629405631; 436342925; 172369131; 880907432; 86310585; 415632227; 602139888; 576047200; 717026936; 410764830; 48591011; 865639470; 996484319; 593871761; 398468117; 50323804; 730540055; 234745603; 366990334; 853383922; 974742216; 973715461; 731593811; 595674323; 841240410; 682458803; 5757778; 810488681; 872549731; 942352187; 830163596; 399478896; 903417258; 514208885; 208262328; 835452910; 609724829; 494419568; 520695658; 523006950; 421557985; 3408411; 997528956; 550194624; 550538727; 535818264; 345670751; 599021791; 776593644; 815173283; 247520310; 259026791; 311633640; 330543047; 661493524; 550886001; 411938486; 766744312; 521584070; 191096199; 38646782; 640211525; 425406649; 475772529; 670564288; 907022792; 586948435; 764530211; 611912551; 550173782; 517979912; 249187556; 832355672; 75616042; 210491707; 813634873; 547394444; 443297623; 171233823; 228661702; 322483718; 700021223; 733981902; 651338624; 809493543; 495330623; 895103305; 792339232; 306252492; 203743619; 223791521; 116693115; 688511101; 253276052; 900489452; 913468638; 556535228; 38654450; 920169815; 21788919; 123487147; 124179193; 222191687; 145123324; 610956837; 667242639; 697111122; 563760344; 434402659; 824722482; 680509999; 264924943; 502913921; 919064881; 709463169; 256884751; 211518584; 989183593; 521385454; 707715061; 670749785; 91872963; 143322797; 927703853; 899507049; 827790030; 83792448; 972104162; 695747902; 198523373; 924219287; 632098427; 40757580; 204757488; 394419839; 455592909; 235333867; 745367605; 313432794; 523351936; 571028926; 851971622; 614496757; 129787308; 745112371; 421223810; 27446543; 21095463; 439276451; 734947102; 764914472; 64747070; 854136989; 690339956; 225951037; 369199024; 448873668; 267879444; 447071520; 821744179; 165275340; 813415062; 772804483; 5227586; 530169227; 854714613; 743463581; 975874812; 422871006; 854502880; 414854057; 182753053; 657563610; 490162999; 238122548; 397811025; 793960043; 122235356; 623073368; 983167676; 528984150; 633538105; 854175143; 454729868; 264868915; 4375797; 993821853; 453058829; 9436851; 389506336; 469846589; 796141975; 542821368; 104647249; 930981232; 414137352; 474144351; 391860917; 503239395; 272997793; 193338040; 990700505; 375891901; 868378629; 714315000; 89377794; 449022140; 39438317; 171932157; 86116760; 57378687; 674872945; 615276647; 88337957; 434060219; 265525110; 203337212; 877188509; 95593111; 852900655; 717776318; 506758561; 96292486; 513925164; 79954572; 17435480; 302790908; 420676157; 727025575; 718572357; 814078464; 193864572; 796589471; 829232287; 949336040; 763191626; 994169608; 269131065; 825452840; 259068533; 125204722; 841639260; 798291037; 214532581; 306755060; 972946714; 103592665; 617498881; 205565624; 726131269; 611716978; 9908003; 671979434; 940255467; 831022437; 491103300; 405668323; 614557748; 535259389; 267088197; 135997389; 294807808; 911556171; 716437957; 723287091; 813763811; 783871301; 985929547; 86431282; 407667013; 309598471; 535655018; 998696279; 677516788; 86412633; 718242642; 648956616; 830734788; 305468674; 785943318; 431737830; 929726756; 370758765; 948519211; 257523447; 897742480; 735698453; 54401372; 230735906; 795043980; 635849568; 885424138; 621817590; 658591835; 730264365; 376335618; 997452980; 235811547; 744482495; 224747405; 935756955; 982542740; 699860373; 416695423; 752691684; 720636791; 17025305; 373866957; 174439826; 746076422; 807181786; 695731204; 896872757; 778938406; 961789521; 69140209; 585670038; 475503463; 380564224; 585295563; 614444859; 492106303; 465035896; 445904533; 835684364; 117700841; 985113074; 97442240; 326847007; 725039148; 514482924; 943910638; 642582534; 364774420; 473476901; 771824487; 993216107; 733743530; 531470278; 571683060; 476051; 707964069; 708029636; 317577679; 468158315; 473957215; 767715952; 444101521; 87537510; 464962888; 416350081; 235671748; 695121555; 625112370; 824347886; 469820091; 497764470; 637031443; 629072540; 992920548; 547909690; 10782108; 794575803; 231287; 256962173; 917544625; 54879488; 701285661; 29350406; 433187397; 763210288; 510149798; 498583653; 141155812; 720012362; 739937423; 773864652; 573681993; 210500820; 995209655; 43412268; 208884427; 917162266; 263232678; 488850566; 427391588; 650055032; 370164676; 380899450; 240592764; 910240925; 709752833; 621792125; 778855536; 234031021; 240508731; 323940816; 414796438; 65843698; 227114791; 583088891; 199075308; 685015930; 686712085; 536039962; 48701637; 361605621; 558437926; 130365224; 121762225; 774769624; 410311880; 721359198; 261792111; 172261091; 887795727; 80687394; 680032297; 869433027; 517003940; 25433039; 963733788; 339403024; 536227301; 132537853; 56084814; 680471027; 163928038; 780987820; 230101565; 265831799; 126938640; 918554597; 375873685; 336811134; 964811460; 302908245; 560589002; 604055045; 898696763; 200036107; 56136011; 470734372; 865668659; 564738820; 504802020; 77751325; 370244401; 185802644; 925137150; 496273174; 334204340; 589534977; 522639216; 948428701; 768640705; 666697517; 287705712; 802736422; 479554858; 845000004; 799824148; 890125962; 56613276; 626874928; 660690575; 769462754; 70099616; 762432946; 304883234; 608418823; 965250305; 447949549; 762309667; 695239023; 33920728; 694568134; 575588407; 776043836; 473272175; 289382335; 744372935; 977407648; 5331039; 288598506; 389860326; 144157730; 502046253; 826924135; 209185612; 409961868; 247668444; 416836405; 143239890; 377223100; 976238221; 512440799; 269317657; 931905727; 881213675; 257822543; 390620826; 37711447; 727061263; 814988182; 752456680; 952513839; 781134859; 679988678; 544801982; 467679725; 10450910; 161368981; 161158948; 997728427; 80250860; 52242250; 707170604; 873451463; 227040098; 165113561; 39650424; 624013375; 505376612; 800939454; 331512414; 415083187; 435892221; 804319571; 140688147; 97851790; 674174857; 204441952; 596721432; 121626708; 845335523; 266043300; 322505140; 797688936; 530171527; 347931309; 701738989; 871396679; 729473107; 818164527; 414670751; 245014425; 975370383; 974501964; 27477043; 500690703; 474535691; 850193906; 496262457; 695075273; 416267934; 827383869; 803876016; 119570852; 861510533; 453154996; 690513402; 953424922; 593636770; 721168964; 750297687; 228794986; 149752265; 43368340; 825023060; 323961513; 432105601; 479123449; 198116309; 218402681; 128520172; 884216952; 621058075; 973740470; 354837723; 683472262; 99151343; 804090810; 457629216; 663545677; 882057950; 969721694; 320843575; 585411388; 786724462; 351629138; 897168731; 493539220; 816396830; 103295747; 651285225; 91089876; 795680752; 459272204; 892204209; 877252659; 826507874; 419362286; 188968017; 118784883; 176516028; 678011040; 276677040; 870539807; 482840040; 990270004; 752816067; 802160979; 135178570; 333802329; 449781736; 290019685; 171126469; 938728077; 124670465; 418932373; 556390092; 541543377; 8204290; 223599774; 749873119; 905516793; 35719400; 158934990; 484930073; 697058658; 772778437; 164968256; 658267690; 729910246; 228304482; 835349781; 400597692; 281351965; 807018919; 738122301; 643477517; 634529477; 763925981; 212157821; 898541806; 781120768; 564006034; 873469006; 858566692; 510375335; 225462503; 647503365; 35402883; 24716157; 680657624; 240330024; 746317037; 914891666; 384424261; 460986408; 500316853; 946878195; 382249517; 705306822; 250920338; 927193777; 209290844; 78825192; 891114726; 742395451; 983933898; 760333521; 978898144; 287615950; 162341312; 724944653; 811962180; 931416852; 663989360; 388392021; 700748987; 923049972; 353508653; 947744661; 865717590; 995726424; 705994787; 509640325; 742014720; 176979020; 702663052; 646953828; 934421844; 858924257; 921542225; 704181499; 860927023; 442211208; 269365935; 762683156; 31810584; 989884308; 11100100; 605472453; 89037218; 571118577; 963277245; 769304150; 686507649; 152749043; 56866519; 223556433; 749093058; 560899966; 11469584; 165586246; 729358103; 262808700; 707720124; 106236621; 648427514; 162073959; 398656321; 259956930; 158002630; 322287211; 236280751; 490439653; 371129259; 101251953; 628228031; 978238871; 555096369; 35837634; 317839285; 856870051; 327334294; 334741849; 720563367; 470025981; 758508281; 593834474; 647484995; 254164452; 62289410; 541131473; 339658139; 162205893; 523684040; 850064213; 132754624; 749875625; 84505460; 260283201; 460532559; 179508996; 442449202; 860219236; 784045965; 803484296; 931247692; 241393057; 228822586; 372812392; 677573934; 468106155; 974760044; 365486435; 786905715; 852874283; 258717844; 117209115; 671115180; 975236371; 201914411; 811892992; 887989427; 560536195; 56039962; 858805963; 392098950; 12820577; 915265706; 856412493; 26965197; 97510532; 718010526; 396295804; 504211786; 538616097; 38105185; 612499276; 520633855; 214077687; 9549865; 654818889; 616420571; 583736805; 322637902; 440773846; 747055814; 146913124; 431700325; 717588773; 412369170; 351808795; 944312579; 141700143; 36206143; 40472152; 716840329; 746189417; 74412932; 721290858; 824415292; 328225784; 91337665; 704698418; 530651811; 292563258; 686798684; 714684157; 774426984; 859920942; 835869662; 688376201; 23730017; 835816460; 247182458; 536582845; 53525241; 553389320; 264286144; 259372043; 443679490; 27099704; 316148883; 981606058; 793607503; 422380384; 257512435; 776076271; 123272474; 392219676; 588043140; 125617753; 172793746; 378931022; 385903737; 821114277; 923575058; 962633010; 571105531; 121802942; 416470703; 971290981; 305133641; 236714664; 483860846; 893548416; 457615483; 647175519; 741826036; 333408490; 280296932; 234693360; 334112301; 24058091; 865089820; 218078694; 904882290; 967803084; 329427895; 650178572; 608130245; 841351828; 782686816; 429529570; 534416567; 229829893; 794699769; 176007767; 152576974; 825809032; 97072637; 961308925; 833564124; 352161839; 851000396; 552850104; 448229614; 479359327; 97869155; 620435476; 518812255; 585018719; 119815360; 627554108; 85544648; 954492534; 815423469; 541362537; 149077733; 974414840; 249697949; 776500294; 592068410; 546467561; 910678923; 753114873; 337384681; 731691615; 755430577; 60690757; 230691542; 772050228; 676972563; 505856260; 785090134; 181942040; 82114443; 663862534; 299001901; 992882665; 54586659; 178140826; 709185631; 988097299; 273811265; 126547952; 645095416; 24668415; 207488075; 817013119; 83955567; 263287218; 569295803; 716058081; 534860222; 69746086; 421657260; 503792168; 89373621; 148016033; 900784371; 614098056; 705630821; 113402784; 385385582; 579876791; 250559528; 161076647; 910223228; 719115213; 3919912; 997424720; 814281943; 62710172; 96991882; 863151307; 497860425; 334262922; 881961586; 693769531; 616336488; 287810865; 780816409; 228687481; 812351011; 992767858; 807838730; 538695310; 793823524; 338554729; 216011338; 652134904; 471871311; 414372940; 622861889; 923345300; 501147749; 940725919; 537779057; 212887114; 412778768; 756632793; 175994347; 649241450; 780043885; 887596139; 863796001; 237716004; 38729736; 462553270; 957174379; 502131657; 326399978; 174833146; 165250163; 896591360; 620847014; 731167140; 429383203; 6787335; 256521558; 493243865; 191780742; 152927102; 793312839; 436331394; 489086667; 515950143; 262555977; 330107659; 814827673; 738767606; 502845065; 671801045; 169122571; 107257269; 652604794; 542689738; 709234350; 31902059; 446858349; 882187644; 758856227; 772819170; 734889598; 352117000; 496855615; 919114168; 635745610; 513982063; 951068494; 624401050; 924124709; 736724565; 116198352; 8332488; 795508857; 110681593; 654328934; 201785065; 695604459; 616048785; 67309293; 492005846; 785029931; 961327600; 880453948; 513586674; 524850340; 772719618; 514304134; 93026085; 200738795; 702622361; 745261855; 671323641; 408651851; 308470334; 43979219; 842235037; 318080224; 451865391; 209312545; 158791096; 289770844; 612463323; 737518604; 963911605; 179105780; 923686476; 32804968; 266835723; 574449172; 578719220; 669052969; 841177702; 536816102; 569140336; 280721870; 828802069; 651948243; 469051267; 501200770; 914200959; 499615814; 500254680; 813066601; 46774434; 85687701; 567740856; 147795746; 178589107; 442805561; 752460453; 598246337; 637988289; 360578064; 873971959; 380680214; 337490911; 914041813; 124690344; 31987748; 912253293; 153978545; 603214873; 883576112; 686155392; 398786498; 866539043; 234140104; 158538745; 984207636; 891362001; 992947920; 459551214; 18315442; 431355083; 697413911; 851371505; 779779258; 144272964; 245183434; 819653620; 758000813; 8921792; 866219584; 952274087; 800409972; 692062245; 428884459; 98506444; 823004327; 230347214; 524100117; 225218983; 131984039; 479320721; 767142610; 321085885; 163599041; 402528796; 57492331; 248095135; 72923335; 682272952; 432444458; 854554241; 74444952; 734974817; 450068284; 379433139; 163123967; 827611110; 367964079; 357201377; 730764798; 61801537; 672644179; 736305406; 456024585; 764904286; 483153184; 234934053; 55818669; 691244224; 636023595; 962617588; 488942208; 577079197; 752689760; 428671735; 627315526; 981128554; 528622383; 939197095; 962129251; 834950167; 538748935; 686574780; 321203321; 428026239; 577921157; 571898441; 889898101; 325204072; 303447551; 807368718; 665985493; 436436035; 234379799; 393222585; 56202395; 479425102; 465236842; 421644358; 130492330; 111741438; 758988826; 21315571; 571856039; 236706686; 248150079; 31110053; 895924324; 15764188; 191577375; 861082101; 683042771; 134340038; 948227566; 20070041; 9751090; 789604707; 509596460; 634263289; 989780649; 922525198; 452878473; 886821449; 849966619; 301619555; 859364283; 81167872; 789332238; 122641525; 547930179; 901693933; 862514663; 457758807; 343780022; 501579629; 656727348; 708259873; 454792264; 123941919; 198761739; 463539732; 61983681; 215649733; 992242081; 491443608; 583710074; 433190426; 819370258; 181269352; 780378772; 121911957; 55707045; 308461175; 373949681; 831542653; 616426080; 119072505; 708550339; 300325927; 772155518; 486710093; 992192024; 172094261; 210685904; 888242342; 912377700; 589493347; 807902220; 291103120; 374943429; 816015718; 738907302; 843651702; 337936480; 966765425; 77449966; 38983873; 752442018; 888825441; 163485539; 761682926; 864920086; 423662739; 973124887; 648445557; 305449171; 423491190; 157489521; 834061284; 497657556; 355434334; 375943218; 627538845; 518334294; 427105961; 921611121; 774863588; 440215404; 198660947; 705472766; 991861230; 495514340; 911370784; 773452479; 30191424; 650422204; 591787583; 932817216; 752841739; 680641748; 997847709; 507743680; 978075543; 583909774; 546363885; 956094664; 743517472; 123244325; 445458828; 690256309; 398168103; 653818830; 625034022; 432688665; 629434910; 696146596; 115074792; 77551548; 679971598; 639625406; 539134630; 940604197; 273690225; 864986192; 34213169; 10457095; 70578358; 566059734; 1371043; 999924459; 5149359; 671211944; 350827757; 526981555; 661164685; 605352555; 776646726; 554713430; 920517117; 4906521; 389271691; 615750421; 366786377; 141618455; 822206001; 661808742; 511941338; 669785835; 367003641; 85958278; 312401096; 79456847; 577784243; 613327322; 571598360; 539245617; 960722455; 375430280; 526408312; 70926663; 460373513; 17925696; 717382555; 477232927; 892271380; 80898260; 7318851; 529647426; 374684283; 124261404; 322409456; 624210295; 265112194; 17146382; 737495398; 781617658; 497099164; 41268960; 916259041; 220143208; 454129722; 583960434; 561385947; 594668603; 577005424; 47836859; 103519616; 977909615; 194013404; 786803489; 51032123; 343266314; 107857444; 628022959; 460303915; 778864053; 220582857; 834620328; 608525431; 702543962; 790895062; 184063911; 779908696; 825508497; 388401298; 340240674; 886364293; 184414538; 584374505; 16562840; 744239604; 59187971; 853465800; 98842444; 546640798; 243645322; 638989413; 100120518; 211196336; 873741776; 510663686; 552600170; 819056339; 143639047; 210606399; 114265437; 367977345; 701933372; 9522319; 286237086; 89504494; 813490538; 127146057; 135468562; 291227955; 495861144; 964522583; 136885682; 205099244; 263602054; 715539655; 69622335; 121823849; 430507719; 69750973; 175474521; 653881505; 118595907; 80160610; 727531010; 173830772; 512515109; 735194785; 201962104; 488610872; 455110659; 46959178; 539070510; 162636644; 67734521; 893342326; 218426520; 700368295; 11423297; 819425929; 338535617; 241642543; 55922363; 799102932; 357174287; 182491442; 121331269; 307710024; 679195960; 316841401; 861991314; 476629763; 490834143; 159201457; 425007053; 531336771; 267235910; 827865007; 42752184; 15841527; 649279735; 235272327; 31014410; 596249541; 117664923; 158797155; 399089854; 333712019; 173814491; 400756514; 800173176; 671319888; 998672800; 350271213; 904957288; 22618984; 850890160; 601224760; 992234271; 637856302; 34617487; 429948363; 49538064; 430639569; 352137963; 158285205; 696943699; 287518211; 332097205; 652647943; 841772354; 145923343; 145886989; 188091813; 275869909; 61966782; 428675836; 161392015; 454150189; 536921162; 257531030; 733915211; 694608416; 583367028; 609359144; 349448495; 307482580; 952694825; 980353597; 857822453; 533018112; 407279129; 325449323; 479536861; 318096862; 892282319; 594688713; 157034880; 575211375; 878864761; 196323952; 529637887; 334025888; 366292751; 572275469; 975971274; 342202851; 992690959; 905946592; 638617638; 408257906; 893433470; 431337672; 121443311; 204691644; 149215049; 892866387; 499657902; 492373627; 727366084; 817413606; 299830101; 179108792; 793021020; 79484774; 990787475; 806778126; 699771690; 932517360; 396801986; 450369033; 705688179; 601764213; 543650000; 6424246; 101576956; 943742352; 469876599; 789602165; 193861204; 867914166; 855513141; 892781606; 508623681; 94734653; 240839222; 291304372; 782860714; 535793730; 316197460; 437266536; 818734523; 513125053; 341667977; 865885326; 459199730; 800469722; 73959588; 663225978; 938116519; 676396111; 771293940; 134110004; 604210211; 814611864; 809471780; 227147526; 919603684; 718877548; 600688498; 323051501; 99437760; 64384379; 2816967; 818797618; 610590379; 994648835; 573954750; 747757867; 489374354; 906949624; 497465284; 110560861; 743002268; 736660912; 864764678; 239030637; 179921161; 597075825; 648263922; 240484009; 403859859; 323376783; 111561393; 880769415; 754737241; 541693235; 729100522; 440848994; 430876097; 397697044; 986305880; 445501633; 745929129; 961822196; 463370806; 372917087; 929787278; 281491080; 260370802; 723087218; 203568982; 809192786; 127668940; 274859962; 256763793; 907418526; 948574569; 41107521; 275421123; 545480185; 115078834; 811728405; 749430864; 145513085; 516184423; 569736173; 616298152; 237442955; 535206569; 84012508; 226442680; 581787161; 223916070; 714119636; 858533616; 271167651; 4042270; 94481030; 420969509; 860656802; 664057935; 659812836; 635967870; 287614655; 518672419; 860701661; 622898608; 182056539; 606693818; 67809863; 476866592; 641506810; 661823557; 359067162; 146840437; 191874073; 827990527; 830271114; 378743967; 31191003; 914176962; 315775261; 104161347; 925789335; 224846085; 16306171; 697520623; 235541913; 755939652; 575119707; 184347245; 477066085; 539678930; 263733613; 214865263; 441131133; 452288280; 370114451; 916699212; 234272754; 500356074; 969628307; 218075558; 98545440; 643801483; 607531433; 884942838; 741633511; 986510265; 130375579; 687291472; 631810103; 897452246; 935825379; 406107678; 693379832; 889192140; 713870969; 47764934; 14203958; 264162905; 113416437; 614265384; 801578131; 689265440; 512136511; 165983016; 867516514; 758347801; 165973614; 851022298; 934841098; 971138766; 748262675; 581017148; 515614911; 964208870; 75596826; 421017618; 877419449; 554331043; 6041091; 154592380; 506155288; 307883153; 356449276; 6535630; 257739329; 907268228; 14466877; 270547852; 536213606; 723009376; 840425344; 488682197; 742223034; 800330551; 174356028; 154378213; 622316126; 979186215; 648850528; 94387444; 686133908; 625519268; 762398627; 102140889; 568059492; 620235278; 491928965; 561673559; 360605999; 671102238; 418722227; 356698361; 103779373; 306452827; 549138165; 744392295; 209157177; 128661454; 871804462; 188569664; 660533177; 892220710; 596810020; 148592411; 3754514; 316034770; 20560543; 947406831; 493843234; 193634135; 909235904; 739551763; 585249718; 570121942; 974319094; 390024808; 440707295; 832643610; 589779072; 351021387; 285065444; 622379634; 348513382; 239138979; 854608786; 610483556; 461886344; 223078013; 667060284; 472047469; 369143238; 552604544; 953227416; 753771196; 906112849; 860856274; 945392706; 33882596; 83862744; 183911492; 223443659; 266067034; 116358593; 854540787; 736104931; 654803954; 962437282; 682620320; 927570489; 974199461; 284615995; 422644873; 264036756; 527010436; 437700425; 591045885; 374999916; 271141299; 985862755; 711574926; 235092695; 473603161; 246073051; 318396464; 109556329; 252181170; 702194073; 167019192; 827598551; 214212779; 310715990; 952925589; 4726638; 777323627; 548721054; 43937952; 77555877; 23197176; 702509849; 935704911; 41291480; 831748971; 782607941; 363771820; 42493086; 625937011; 757646463; 762987903; 760712817; 250714150; 807968145; 115306189; 654191463; 959235605; 835903789; 167983154; 226372221; 776566089; 354926907; 754460873; 861983428; 77609207; 498433013; 707799890; 594776649; 196556894; 987641522; 497048638; 210299664; 93306080; 387825204; 774785188; 13418717; 530053934; 390953369; 803341086; 652325163; 573077275; 858592443; 563662292; 714630726; 358240954; 535799588; 304481571; 8732306; 868825292; 24184804; 412359413; 934807688; 49450658; 607917679; 462915075; 254876942; 250798488; 321722147; 186292808; 541309452; 35174061; 580684064; 137540335; 325902144; 226778756; 16721881; 520790500; 366570474; 165305178; 612482620; 708345890; 616876972; 486274357; 547241994; 908001151; 331138316; 13070885; 834276235; 223425171; 302712516; 453124853; 425023397; 53772428; 687347885; 759698297; 368039765; 490631626; 864069432; 129160314; 435820388; 680426001; 622918434; 990189451; 514735834; 113433424; 776776197; 554903177; 606811700; 867504111; 578030693; 92234641; 876331154; 495618046; 836099579; 315390596; 814136318; 790979410; 367734233; 994349320; 155931726; 903915483; 915789794; 205187950; 408251066; 726357912; 986553652; 515194521; 328982210; 493238257; 966842950; 421201798; 343360246; 260868800; 861467931; 312550200; 566115317; 834519283; 982818460; 109175736; 931484992; 432447058; 787785257; 523430882; 754624921; 784910829; 603112137; 60091164; 24409092; 703374552; 387038681; 308924099; 995827343; 591667389; 624067836; 224403288; 461352397; 780121764; 571664199; 522426972; 718727579; 992251904; 927417935; 966468934; 35630164; 258145432; 687593880; 304267413; 476720395; 153727916; 614385079; 443500497; 195328563; 329908235; 575507858; 87306548; 69191111; 545785910; 719427743; 332659180; 104143172; 574185106; 432521543; 589289201; 346983013; 784975650; 977306953; 443647197; 736488970; 974196347; 621910393; 130505118; 457386687; 687845733; 960403839; 77941373; 539698579; 323557067; 607955778; 249405900; 847661386; 326846794; 675203421; 277577077; 105821950; 940639460; 185238887; 66943731; 468697164; 333982789; 357991571; 279395721; 965577713; 863569882; 668170092; 146540123; 775683723; 261651818; 20611132; 253479262; 792044647; 398394586; 637607110; 410155958; 890945808; 93808620; 669595703; 919245819; 821748594; 869992923; 225316481; 588237284; 302330692; 946466054; 908506773; 961196343; 697288631; 462521674; 609673323; 220027142; 429813288; 840038150; 29758874; 114003843; 294463447; 332158085; 241487655; 399090795; 641749459; 877165514; 322692024; 126384978; 473276434; 502013960; 830279367; 38957221; 477371946; 20295403; 933906472; 334353108; 515106110; 923794122; 804926653; 461569158; 665335539; 420492641; 350938721; 220783853; 188580028; 625009536; 749331299; 993307251; 321867145; 69596272; 609159675; 394950955; 858715040; 504439218; 369839699; 941284073; 726653957; 414147939; 655042450; 917439904; 34384972; 558078996; 902018355; 775816731; 64726439; 500430057; 402929644; 875959932; 449006196; 240688443; 175432462; 509477193; 871742037; 229789411; 382693190; 960082944; 725361449; 319776621; 120980614; 287310194; 5067101; 171372585; 435177443; 489600474; 297969797; 135540691; 14030012; 405565478; 93787511; 99780297; 872278009; 402995159; 152532224; 145155208; 526740197; 167435871; 482467931; 742641150; 721448707; 677934740; 88238242; 73143776; 244303828; 794853395; 96393106; 539154497; 109305054; 634077769; 871305437; 576705921; 506713104; 777787263; 430431946; 493222240; 645192245; 127246042; 926254644; 453695481; 21307457; 887416858; 398429320; 538076177; 635521041; 521331907; 433259290; 831083088; 951922033; 554251550; 48252836; 373431669; 524832557; 428767902; 95774561; 367580032; 372141051; 37625386; 944666805; 32695231; 278479846; 100155777; 916771938; 760775035; 323942667; 588544030; 361959722; 110859781; 868923159; 546364710; 496702882; 294948761; 219547227; 462897700; 175068209; 365621555; 539113378; 468459284; 125453188; 264188696; 875622787; 767019705; 166798383; 373436371; 272752673; 250191721; 630106440; 549612360; 756162688; 514658878; 479573915; 5396491; 89869587; 799385383; 874436356; 785617950; 399329906; 442469116; 166056671; 240417861; 353322898; 111041478; 685219987; 472330412; 691618513; 546732490; 195002352; 33917765; 519800116; 680476339; 934639627; 400741201; 831479667; 761752166; 493658492; 674279058; 483905566; 133217587; 288218124; 623703729; 731708684; 103934799; 122835630; 65492038; 897964432; 642209468; 338021613; 386119729; 366173475; 104816886; 142536619; 266892579; 449323027; 505757993; 743452223; 91876355; 979839634; 600491861; 318009491; 56098054; 82113135; 332451759; 117304766; 861934996; 700827182; 733462169; 690500226; 294953173; 670975862; 943911981; 884071098; 851114369; 693583070; 134849294; 52834516; 502528424; 16360854; 57312144; 492787651; 243163572; 968956246; 263249298; 248855234; 740573479; 705584315; 418701836; 641220684; 60461181; 464652279; 816095862; 647340092; 578741145; 207699998; 177825020; 758106985; 699679517; 62625373; 786768791; 294833528; 537288508; 997789880; 592450873; 912328263; 386647671; 68243136; 113755562; 213360128; 988906007; 476622382; 284100383; 884695656; 107202600; 334329163; 712710789; 5721133; 561593436; 542378301; 449464653; 186715120; 647975842; 542461762; 278922648; 538688717; 848479961; 681036788; 398527666; 591633135; 687239787; 324013411; 447559622; 855331527; 381498049; 383602799; 675833258; 681136174; 739723370; 126453525; 84846501; 555206920; 890066272; 784115846; 758977820; 929370292; 678550210; 585240687; 548826291; 887365968; 850275275; 553474023; 878077692; 496616841; 21238655; 685909557; 836543949; 888665160; 788623913; 468007734; 342733508; 31839138; 954653660; 938327871; 330977903; 649448930; 206160253; 519662079; 44836845; 908116069; 295036984; 560588283; 953074082; 990879843; 804721271; 853215736; 80983060; 971628893; 996197528; 930362863; 326848267; 342691997; 624403777; 806106773; 390445569; 712400125; 962320978; 710081694; 980746037; 837538283; 528510344; 980782284; 907294789; 725597885; 674971011; 345653260; 958234955; 669303985; 838529764; 596782581; 637851742; 579222382; 439099775; 743834949; 390334071; 101077838; 177166227; 541393130; 786904625; 851826866; 429447119; 850713780; 508157162; 320578422; 109901875; 121508860; 354241569; 856305224; 954337533; 284230692; 213023583; 13179175; 311374933; 112559601; 803340142; 314138992; 399646312; 344724011; 932810846; 604835087; 960375293; 229521824; 695971102; 90007805; 47305658; 125455039; 469820649; 991107498; 786327773; 765024873; 475462827; 407792961; 860316947; 892324559; 393411616; 824630196; 31754524; 656395595; 766521622; 416245172; 297815562; 324104412; 281980812; 407213547; 779421052; 14283795; 594967306; 645937215; 800921720; 490273964; 531235250; 79269340; 378372802; 947328257; 428594596; 41132142; 713447636; 775581231; 7928531; 223609212; 104565727; 403197673; 528458650; 511211356; 121526139; 786964662; 890127319; 194819022; 332307486; 623576925; 216995427; 653528663; 794988033; 47796438; 644488788; 490965901; 301907169; 776095606; 305954029; 459495336; 433332325; 699388655; 181828170; 797752440; 208403307; 453495778; 655596114; 164276342; 544366313; 34982778; 177016299; 49738626; 192627426; 273035515; 769296134; 461200357; 496733328; 63810806; 850344536; 467748672; 164181941; 324013949; 369345595; 611258717; 246810704; 628325856; 971178433; 725444070; 372962967; 754029337; 207618736; 80290824; 519918822; 405186236; 850275737; 541787476; 106022865; 288955645; 737855520; 219207265; 816541954; 371287592; 998066125; 324951154; 151192805; 977002220; 805857770; 221614870; 995695397; 400086055; 300066691; 698539252; 779524256; 512988952; 798717810; 762613069; 842891710; 645029919; 826025466; 141027697; 450887581; 348952704; 161520122; 910761108; 384655067; 9420354; 349632911; 349304030; 916601635; 480919587; 582784459; 741909039; 354493410; 175058175; 320390776; 373497865; 546197423; 617142083; 808273815; 180994996; 8607604; 349248080; 738530212; 8155403; 649892079; 696924653; 384673198; 252228719; 119650547; 109827105; 323071468; 640185016; 879407044; 820978459; 604488077; 449179491; 972979430; 627258775; 390395294; 116606663; 261660798; 231383849; 364728628; 410477331; 18694060; 469158758; 946564039; 741511748; 191759771; 592132798; 529871187; 164061384; 595663587; 432501385; 575950847; 16305304; 167027998; 604878417; 120081633; 733708714; 607373174; 800769350; 587895190; 141518143; 409001187; 39620132; 991333991; 215957156; 428457343; 456293819; 896607335; 851784297; 545943881; 812884020; 130780961; 182574199; 170497183; 105536007; 490660773; 712034024; 240427542; 993782686; 243365278; 537210527; 683211691; 368189501; 448592766; 151916025; 996552569; 710817492; 835806004; 625652629; 855011719; 298255246; 306279850; 946292279; 468253373; 452914965; 638427085; 675512764; 834150145; 446340277; 925291426; 595461975; 697639447; 243238220; 623296120; 888819540; 945419667; 233825000; 750388347; 36862168; 18705703; 53627754; 653471025; 970493302; 122915108; 998501534; 934896189; 673893159; 61538250; 841442279; 503277093; 731403634; 914712325; 823297264; 731744789; 121655016; 598579264; 812431245; 595480469; 964929748; 874349349; 788996874; 113169064; 234051904; 494185742; 499583008; 910830193; 169861842; 5580149; 542634567; 73355300; 370109623; 161667857; 68285663; 771278141; 65758020; 614440259; 104233687; 670706155; 674476265; 871217407; 650566005; 955841537; 717239892; 172644282; 692204954; 350890100; 112323735; 702656494; 384378591; 93901271; 527387036; 210734100; 128906566; 778410300; 694938569; 388708274; 553249134; 577042493; 339771264; 854016710; 350210250; 441777881; 108476529; 297734309; 869309541; 970386946; 206359008; 684112537; 179400915; 477168339; 122556433; 576136939; 456937702; 87195148; 777967308; 852461237; 870223392; 377632432; 255062797; 322801523; 306365542; 657382807; 917471015; 738576708; 882572837; 778323380; 392919571; 4388405; 923808061; 688564499; 266372053; 328668167; 495597572; 445151189; 930197370; 398529015; 343353937; 989923413; 182707922; 119648236; 757250487; 555378946; 400097672; 142584392; 306476650; 771964069; 103017667; 697641658; 961296288; 108616446; 931164431; 545453496; 642124737; 446329493; 174333618; 264739823; 574656196; 254748603; 453478944; 551543864; 539915878; 740184805; 836144113; 727003768; 778186195; 408435120; 512557828; 50209942; 150507308; 269058513; 413828428; 443753163; 491666766; 235799441; 470330580; 398251677; 792578237; 504553404; 326517186; 145779368; 138220083; 750001028; 848772409; 584350291; 455949556; 529041581; 888966409; 510123966; 939342165; 300599501; 533907386; 434199938; 77017833; 183335924; 46423154; 579885465; 726604079; 88176808; 726393388; 522092237; 851051056; 633240540; 959157815; 764321349; 816796895; 718123778; 103623410; 923590079; 986726207; 865364515; 176209932; 870874282; 285234349; 786888050; 631011037; 794644959; 127616434; 628753812; 326689512; 391861019; 266476688; 425284194; 310320054; 365276690; 832512778; 272579385; 666318960; 692666811; 417266775; 714949503; 395220865; 582555783; 371326036; 412999889; 12797336; 614400782; 782565981; 837405760; 718983537; 970964658; 688429869; 596863787; 209320805; 648082550; 309217138; 374760852; 229106283; 457991863; 252842399; 806012760; 609119203; 216298470; 117326167; 450993599; 589734678; 822872900; 603827614; 295000840; 267457644; 190590182; 358248677; 85704281; 550388924; 313708868; 706699969; 891771042; 297010434; 211756128; 602778525; 649917558; 100318827; 997444254; 73885570; 109560645; 72349071; 391291230; 954877646; 812101063; 988284561; 816904768; 239095414; 687170473; 161790494; 153751771; 95112830; 989789643; 55152966; 267610723; 664053343; 77620996; 447750226; 623593943; 580211656; 219793525; 937588256; 937376737; 80401895; 123836140; 458259436; 889825956; 323007010; 39593098; 558903168; 218190453; 544930652; 909269793; 990848500; 999266367; 444632886; 978049396; 633306405; 888852887; 609236272; 73797137; 243081456; 139790594; 825610108; 357078403; 937525163; 110544625; 1963515; 344980894; 801485139; 265605803; 633753879; 967238789; 930542141; 665477404; 668398232; 150068730; 63377946; 757423735; 92057005; 640235696; 978633583; 16695681; 633302134; 377622426; 56607636; 215789155; 631052861; 619564315; 571896996; 569130252; 519673776; 708899967; 730019005; 518960074; 680742433; 787322058; 210913412; 701705279; 188049229; 520697688; 526314212; 345205093; 478655146; 890806169; 570460223; 73732670; 763763848; 425104806; 132198947; 394860222; 897050431; 123922343; 644358393; 282836464; 6787337; 149469662; 288157611; 118742586; 895523326; 34977774; 701292443; 567767556; 60809304; 449231530; 966132706; 622079453; 671633668; 790568837; 608639355; 505790516; 328831094; 515708723; 501809651; 777746043; 573140283; 832706707; 64315717; 410263714; 231849239; 667012714; 366190683; 532685052; 217306240; 451093032; 938794055; 834915243; 629130721; 192229270; 19929555; 611932761; 706702796; 581182902; 416846235; 298848664; 314667347; 704365626; 375887438; 257613225; 700747963; 12907591; 271556007; 456061951; 188071763; 662467260; 853761008; 21843681; 570050616; 785116776; 418234884; 813457569; 704434802; 942938963; 404210160; 266064799; 552484806; 310604547; 959314780; 887747792; 597129453; 608542879; 457621515; 301503355; 851191628; 646714519; 199778537; 49232998; 821109930; 547093999; 130731574; 496002124; 867301642; 170140023; 36894773; 935433871; 131823793; 800415731; 394271547; 119337137; 169287775; 638659211; 344233677; 621556947; 373101626; 697029387; 706272561; 214209751; 553211241; 816283082; 838430850; 323618701; 378294627; 878204186; 136213631; 756437975; 10030867; 662809938; 486446805; 258163671; 145660030; 334079405; 164350938; 351198672; 578580203; 911586789; 819815658; 802811963; 780417361; 688954473; 254419384; 945543358; 466432832; 476059592; 401117953; 952034549; 438454987; 206448094; 536771538; 391289044; 421928588; 97386295; 269183665; 276872938; 57017053; 122346162; 499536838; 108035871; 850691505; 459594115; 190659327; 934867266; 895605262; 747882028; 976134913; 489432750; 19979672; 186178046; 864128916; 479308713; 997551816; 490314502; 394117105; 521735837; 80001909; 158055864; 715184076; 445594579; 255252085; 617574862; 266367410; 540237680; 365395191; 868096395; 725755899; 786798450; 607218427; 727313888; 795270437; 43666355; 738817640; 843193789; 3855641; 875892560; 906031468; 423852505; 561444116; 885366144; 637375313; 784022131; 431465216; 840470185; 757507789; 505946801; 603180842; 797577035; 75736629; 600863269; 263655567; 748263372; 372964916; 363942807; 67237114; 157615862; 940315123; 886165032; 945844114; 969227530; 435471593; 565365316; 415981165; 816953806; 482194506; 237729488; 103621657; 273332309; 991352818; 369088776; 507982743; 517232309; 169547753; 109605442; 607311939; 662451241; 981624868; 351881175; 570450143; 879322885; 191434429; 41541665; 621571000; 444948997; 303444187; 881385623; 224451741; 556549635; 834025802; 620406248; 805263951; 889882299; 200091216; 386306780; 596403745; 673086586; 248921133; 760478472; 941717602; 969905424; 615057398; 291244774; 376249779; 587751007; 228696885; 136867342; 1585020; 462165029; 372238702; 48379001; 140350376; 902763860; 415357215; 609850353; 623699740; 804637234; 955043288; 168325549; 157152206; 934241452; 424143497; 604222635; 685584701; 97652302; 213740193; 997385625; 931562678; 464315734; 234546914; 31193975; 459725342; 834772464; 768639306; 325470264; 287033120; 767025591; 466040188; 621371773; 734334004; 259378947; 249288583; 496074217; 118646336; 241353019; 759094260; 871391512; 68302390; 329651204; 715048383; 801169861; 759932159; 987372295; 753305789; 515375778; 860241269; 292411788; 843895448; 678979362; 767055237; 639906860; 500935637; 799703001; 793513813; 827504534; 487843353; 140388097; 665734430; 489336705; 247569322; 45538993; 61877557; 31209665; 746507266; 648919838; 270820409; 709657910; 78021551; 600462872; 996765182; 213074643; 78316925; 509669621; 285845025; 305080935; 21105642; 282327959; 126164052; 146090653; 418032050; 404825977; 924641878; 462149007; 952896477; 196483221; 856816748; 283929902; 1516215; 674465379; 311447677; 545918238; 34773313; 421180306; 568513514; 259678749; 882055911; 351143747; 154342584; 521080914; 52670044; 389106466; 104110431; 501093110; 749856674; 176447224; 369773443; 168451090; 633178350; 657069199; 213086681; 305442444; 828951056; 552444071; 379643992; 543306794; 871251049; 934945290; 401425740; 791802643; 543247214; 907518613; 881824060; 66811262; 834977315; 102783753; 293844698; 48882882; 878870515; 886834372; 16477939; 741586698; 731546034; 31053940; 583923068; 173528319; 900111517; 44833533; 650103216; 690231897; 659561851; 675456659; 637629373; 58601887; 866058599; 941643688; 531285078; 628962717; 665869410; 271637258; 77262218; 447477542; 296754121; 31550603; 93052729; 968483213; 354851620; 98289420; 929821755; 723659852; 952833474; 682126513; 176779339; 264779266; 109090700; 68604748; 995713649; 750063767; 6248766; 630549776; 976832508; 771049713; 59370986; 684290810; 263777676; 847595307; 218493119; 884584336; 876355911; 487038164; 10519257; 272114834; 859300593; 729451159; 148990950; 340308953; 878343722; 362321660; 15059284; 979363865; 904662327; 544974960; 447745154; 920693160; 541210131; 400601320; 947399495; 303521471; 867283266; 537761309; 886498098; 66792780; 817536556; 357545509; 569380644; 697237890; 6430988; 726195602; 948731695; 578383086; 448964404; 98252737; 883691946; 515916223; 764895435; 397406468; 315395718; 792610327; 53032961; 890807851; 248489597; 582619860; 149957178; 504937111; 533316750; 709508456; 517327713; 311307769; 806344616; 511001473; 33253134; 213444512; 443025517; 886349916; 3950242; 275960024; 542527597; 296354828; 881225963; 196368562; 994278887; 505745253; 668371597; 32740815; 910120240; 186290884; 27191639; 398305913; 306124041; 712985909; 251568607; 943345462; 188481326; 737560598; 427206500; 558073562; 656899218; 968967012; 507732437; 806275434; 907450519; 963054362; 421579730; 216167780; 984693485; 227136138; 846411434; 464971132; 909847238; 349908631; 418368278; 985353437; 835430961; 235573632; 972461489; 61586685; 830050754; 356602647; 185628894; 528850919; 801088969; 898692300; 840238087; 872767767; 358849837; 10312725; 87705803; 16089524; 405446320; 237098642; 240918170; 962640655; 838462734; 298490697; 960252475; 74576729; 30621779; 318731416; 215157369; 73601511; 818063216; 609369428; 79521655; 89005372; 992739253; 549315747; 16691200; 673049680; 463881099; 784352655; 374398365; 982973189; 881992318; 537144841; 521739144; 788863986; 887661285; 866066490; 719232945; 636585032; 906706451; 700091507; 21311601; 686995241; 346593395; 229245196; 978839166; 911116260; 403404294; 15539342; 370228000; 434493547; 415425628; 65937773; 667662900; 128306652; 279558422; 843440107; 875833241; 105488455; 933282610; 987976883; 530271319; 896763797; 577942472; 512128389; 964029019; 547308606; 157098941; 829497681; 142226110; 841368434; 654418970; 169406108; 869105036; 23985130; 445108720; 366027253; 587320508; 206040925; 951616554; 770610544; 244753842; 172909125; 278071193; 568208468; 720977332; 317730835; 269146394; 831352372; 322918854; 387151563; 828918342; 759689322; 361458956; 717057024; 675876134; 726301876; 818813598; 842922121; 331708599; 934834555; 973154188; 688558813; 961336196; 793607995; 690294627; 774947818; 190782745; 966661827; 676495895; 668374574; 508463246; 741743470; 37772701; 854095076; 278101234; 35339627; 67723500; 838619827; 65644075; 209177043; 603335759; 601935848; 317279949; 318176380; 978809745; 643181058; 806484683; 688005310; 957155977; 682916128; 247569630; 33528840; 247562713; 133155632; 680747333; 81800994; 993224915; 866792557; 732424531; 879834088; 418701096; 366030885; 154012993; 791290422; 888853771; 680110921; 671259756; 488559650; 995799391; 583285225; 178632521; 725781975; 923195949; 77191037; 483317466; 64710983; 671280045; 526390859; 801651965; 861253148; 447437216; 112453288; 970539449; 11091560; 125487665; 78865477; 382693410; 414317539; 544070053; 835539742; 745717664; 367254463; 217542497; 450494614; 423151351; 260999018; 738688913; 468744239; 506103664; 303296248; 248242068; 286516065; 792933694; 343408791; 758275986; 593709124; 441881083; 652686041; 527791535; 86577944; 932952190; 35033072; 266290707; 926946893; 911117165; 386588861; 758259811; 768318056; 352048865; 5968275; 389723645; 857594267; 309132558; 316446; 683406492; 277510544; 63254156; 922629133; 473259245; 351091031; 607419144; 197091998; 924010963; 903178968; 964246812; 193542768; 603736379; 865010601; 525899181; 217875276; 352694545; 732324655; 811195720; 111172386; 320368487; 44388975; 991572212; 807778237; 931124202; 172193611; 786015789; 612905103; 472889868; 855712339; 611821882; 299348009; 142031957; 448301128; 243836373; 59460965; 98667555; 628307562; 860322747; 437546796; 696162389; 549448007; 246607830; 666004172; 26184241; 388719153; 360658423; 556154820; 164584801; 334182397; 882561509; 802404595; 463072014; 253600193; 743281117; 179126558; 907932425; 167076885; 582863150; 706432721; 955652140; 158838067; 624284327; 230599416; 89120126; 976403968; 183357487; 840879443; 398669101; 969060745; 629586293; 712723158; 773835631; 200745077; 610618332; 126167937; 313096223; 311371036; 132363216; 395947215; 976039364; 517093952; 747561825; 335329539; 187195875; 719486860; 420967446; 523437130; 448794709; 144463656; 111356572; 343933756; 162543889; 896792388; 517355829; 551500655; 251865942; 26412644; 326631039; 861402787; 243627309; 96273480; 950959909; 200462120; 452893312; 727004645; 634833706; 957701325; 114825293; 527842570; 444165155; 678268906; 195646584; 280726673; 827205443; 438062974; 546572739; 706737172; 191322400; 529210675; 528466554; 951537572; 170064423; 161349103; 525321844; 529986008; 7652947; 200443478; 339948306; 310513595; 287611458; 736335629; 839687432; 210543828; 134541888; 249728509; 111573170; 501776232; 256295319; 5714647; 325361898; 148670655; 740372069; 639072250; 742036839; 565794056; 55932014; 237340597; 732238349; 162578468; 144190322; 232753935; 867280104; 480679794; 667361070; 869063628; 384058524; 141364108; 738825342; 167002148; 689089794; 206430067; 526807957; 771132923; 595034022; 487731342; 72226691; 845526251; 906857460; 932708275; 59366528; 861626174; 346949363; 730878568; 415923499; 135894551; 900083102; 994877044; 326528618; 258121761; 445363367; 640968303; 582160297; 113201285; 375124488; 635276384; 925402630; 476072753; 389270226; 26572881; 991240928; 190935539; 557853273; 609853699; 200278434; 99042867; 943180380; 975629659; 847302938; 128625707; 979002987; 814040054; 267518871; 696724065; 460852257; 126768962; 888949413; 571979255; 173147819; 611649473; 31798288; 59899882; 789193870; 635849130; 945537888; 908060638; 757367326; 227655956; 767195963; 119151661; 238486235; 770062028; 401344807; 309416079; 600186665; 743244035; 519946942; 574727929; 624048098; 710449799; 822957149; 486091796; 196741095; 353506780; 907549862; 723350151; 966583892; 120740588; 743932030; 241336581; 50342824; 389205014; 994730479; 847349104; 428932544; 154858655; 716769821; 573248971; 708494606; 906947076; 953507585; 221099730; 954658142; 443042710; 164050165; 659286725; 691040679; 325082194; 943211903; 385369826; 952858699; 551740289; 724210108; 27061624; 414749766; 587778036; 100009214; 185771943; 206035920; 372861546; 725238447; 204229587; 361259606; 103494136; 23806133; 453866068; 193534313; 786382458; 530642257; 292047524; 946890387; 546425778; 682588873; 571704548; 139435506; 895885106; 225611324; 127179545; 410991195; 135399215; 814343991; 597717970; 276063606; 821677542; 133210900; 214494528; 596024143; 928344559; 179684060; 70886497; 94572256; 831417213; 649683065; 399445753; 985552692; 88587374; 448501028; 223819895; 121696432; 23009327; 658919305; 6607158; 142402894; 235884672; 154286675; 754349524; 302291928; 969551435; 23560113; 947175952; 283029741; 777078214; 635343846; 483485267; 276738191; 177516224; 640880122; 121343294; 770515926; 461861317; 282148396; 403719083; 996808690; 437152661; 88317957; 22719655; 547329889; 744999561; 511727992; 806264073; 552305635; 192357908; 77072147; 16811109; 734673401; 712355975; 691145232; 822284735; 407191543; 1614887; 237366654; 614130200; 798763753; 792557016; 979025990; 684224371; 194779995; 870454018; 329587682; 582479787; 714258452; 813778860; 230595316; 875271994; 42063687; 236280793; 239780357; 604242007; 466683549; 246935943; 435686306; 200777038; 239647977; 107782825; 286050988; 144015799; 895780408; 855700180; 138108923; 277526364; 906802374; 550813685; 609731705; 341880839; 303070081; 942816550; 543643317; 833616433; 328629205; 940382561; 71327138; 964663201; 838771009; 757052437; 116313449; 657762439; 909072087; 908597543; 923846504; 172087493; 606962879; 548583532; 347203674; 626159904; 927911118; 704428002; 56019661; 530823845; 162734156; 264054496; 61338104; 354510280; 967795820; 326896904; 928297193; 444239521; 871522327; 250963888; 56190194; 773773770; 236616722; 859631687; 658603907; 714352154; 640729474; 711405419; 169005491; 230838885; 400583000; 627694817; 487834623; 678094106; 440394278; 847453522; 101405343; 424418635; 749073271; 942643312; 728120382; 865147324; 148260194; 347709795; 324769842; 427547775; 148489024; 225526710; 456808423; 755070835; 571646501; 736747299; 346446018; 136330148; 494808691; 703321835; 363344933; 819064608; 348952600; 521189260; 198548808; 761440327; 54382935; 480021444; 959487218; 710555407; 740223112; 499890133; 724460651; 213279865; 993310494; 702929217; 596357138; 162754343; 984629393; 121447832; 36631443; 80823078; 666279692; 799159504; 511751136; 467053976; 260643449; 257361400; 114194615; 300304658; 922682177; 234002608; 536859246; 827846495; 786023110; 377652523; 263781853; 179942014; 307767573; 312204919; 940092730; 913135921; 159666212; 335423659; 800531266; 611551333; 218194946; 294329759; 10280475; 996715858; 394306742; 369057206; 441041395; 435317494; 545297782; 380858217; 299854297; 47840683; 925396647; 760964535; 259036072; 435628122; 9318359; 457648051; 874689320; 617191308; 539098945; 888393297; 349135585; 421125754; 467217872; 987869568; 290979109; 282392721; 631544683; 529191460; 128290110; 694485407; 526491198; 507342555; 449386791; 998604853; 305087180; 252156890; 936380785; 747374308; 16286458; 655606511; 312348998; 410254269; 563145592; 144527816; 776666853; 273489555; 111909669; 979643862; 102538113; 595323710; 481874376; 105184111; 327389075; 723910250; 69401519; 25900893; 420522198; 349507597; 609844755; 638991118; 257026421; 413116143; 484053020; 774726046; 807290132; 313621325; 226184044; 409077828; 334564716; 162450951; 469124519; 974618176; 533446805; 877951999; 813329676; 944678778; 717188644; 936079494; 97394031; 293980044; 705953199; 846297003; 469999655; 76329064; 669218608; 881809867; 775284846; 414924683; 812086975; 141592855; 362340612; 566175027; 497679073; 452324785; 572924373; 273612755; 883931904; 608209549; 168639237; 123799553; 242666274; 568393394; 234362870; 717103554; 835796977; 537931616; 178278294; 529671837; 742629097; 710083942; 327704428; 789762468; 890344619; 819217235; 30722847; 949429838; 796072579; 843608836; 677718923; 303906499; 953025991; 757153128; 853490416; 417538854; 629647652; 271226916; 936800415; 908895746; 766819711; 632731541; 1892620; 287380753; 433978167; 202536764; 566783211; 380751231; 39175573; 257654298; 833790375; 388123765; 964370966; 400146820; 279273369; 799640862; 602464399; 292182576; 888669439; 375852742; 521695857; 468235429; 207358058; 112171963; 768970206; 827700564; 979396619; 968594233; 663447214; 968133272; 402397608; 984691863; 313968004; 443139898; 747407456; 510428994; 301282446; 854323064; 134586183; 290446180; 140194651; 692061244; 347745650; 403070835; 566038621; 263190911; 824914155; 420021323; 575097465; 163325818; 198736710; 951014786; 725526977; 822819846; 243984494; 219056257; 274757169; 318942226; 143446995; 644497608; 796330834; 756916743; 798445574; 595842731; 556945124; 733231325; 598841267; 564086656; 658268190; 747422276; 465975796; 995991824; 196465974; 859199777; 528013341; 240003311; 694061827; 871005392; 916864394; 191112993; 439543955; 304633878; 403503700; 604525481; 21360106; 668904968; 27274988; 675011627; 139091523; 921595939; 442971159; 771967693; 684139434; 157668910; 386057295; 232920242; 671774393; 943080816; 991510625; 837052663; 548171570; 292007619; 358152472; 499845915; 620359834; 509046409; 438658700; 395086605; 220513161; 543779273; 337422880; 968257579; 678307449; 740734863; 173994243; 954979636; 154554925; 995664028; 182424907; 506451559; 596206282; 76926290; 495093028; 968105799; 820597058; 283032771; 85225655; 108930197; 922041280; 621220546; 151108127; 144234332; 534236490; 854509687; 70123582; 453644994; 979444090; 262562680; 495185864; 229519022; 76597089; 791134248; 834087650; 445913080; 465613009; 915047715; 213903210; 895786509; 975262075; 81020612; 434289057; 928186179; 102454553; 596477775; 426176342; 115923022; 850964463; 674884101; 969565704; 490979214; 572552029; 828424226; 331031216; 684216921; 367151547; 34395541; 486376772; 868705685; 316920679; 511797680; 759512501; 702132200; 21782046; 496743429; 766536116; 507816075; 793954695; 31716303; 531195812; 399956284; 307779266; 814904431; 325904664; 930288013; 464023681; 592803438; 136661761; 251777647; 763987122; 116967067; 32195446; 568004645; 291964493; 128785421; 216075226; 859981678; 959787065; 362866162; 634052227; 21185688; 372128741; 84691095; 996614217; 960363211; 413230263; 324834293; 137476891; 182517397; 253938684; 744058636; 839206499; 587170376; 890388033; 612115615; 779647051; 144920552; 661183386; 46105477; 199398523; 126655110; 963170718; 656893858; 441353425; 684930139; 547876360; 158905; 698626522; 346609563; 27981364; 574102811; 441500490; 552396699; 252501058; 953741451; 221121610; 866281343; 203097669; 865656256; 599532286; 679841315; 952103958; 275622919; 599816702; 297049582; 621952449; 229316019; 839945945; 972354149; 914390668; 564655975; 236113520; 187208675; 978737794; 225222530; 513569133; 838365928; 881729719; 970785509; 368858763; 819087815; 929749153; 483322352; 517932450; 233559928; 263312815; 22978158; 355690553; 778877836; 936799384; 890816849; 140010172; 888203235; 736020544; 870235857; 351225948; 728532062; 283482452; 964361230; 372584606; 538187448; 752032542; 687869736; 802893516; 812838457; 13417346; 316760566; 109610894; 72128527; 4840279; 396369825; 667379957; 207053282; 697967514; 457587081; 907485850; 499273681; 445567852; 129533655; 27466177; 280656420; 588952668; 374115844; 161828227; 268276269; 105260569; 737868670; 644577184; 858909494; 31911312; 668701642; 841091762; 17708331; 433928564; 665611896; 174634219; 23106475; 465415797; 229296313; 292514542; 85373874; 810125266; 845249199; 246244523; 817951932; 586951386; 397648508; 77486040; 572745055; 446041441; 902493319; 419644633; 870268944; 198066945; 706043622; 74588927; 587889495; 147972707; 229169712; 581673978; 432135355; 850441787; 191348783; 449492821; 180150647; 924881852; 144698017; 661742270; 841705818; 396981347; 689381797; 776566663; 954998811; 582761194; 701735129; 99219420; 496918939; 508288088; 386318431; 195127096; 90198647; 314105750; 113208370; 131509327; 373340658; 817423393; 133919868; 755180193; 569166670; 775539429; 851096824; 482915984; 666385163; 495105089; 226794771; 490563589; 76115625; 8883989; 434067525; 66558067; 307870331; 210404050; 920795979; 420418583; 632321568; 530362138; 372506574; 679457705; 552832499; 45226917; 995998298; 659023983; 243381718; 736833674; 562842487; 197584414; 429209136; 460665018; 215576745; 505993136; 163993880; 835770675; 839717017; 669378308; 146792915; 264557834; 732912335; 588422828; 888804579; 297286304; 29972326; 583248230; 269470868; 220909591; 590376413; 940815575; 909670409; 799105473; 666533026; 50157067; 151375690; 906684910; 305483782; 917830948; 243964080; 892754951; 434909498; 143306197; 479719451; 90832822; 194781413; 623043754; 336307744; 174312238; 336253789; 759629886; 638454792; 325565507; 261814314; 693500730; 54716070; 241258921; 131187466; 538725789; 336550264; 580058271; 209457723; 801895638; 526126932; 550017166; 273325591; 855316270; 482366052; 665665863; 276647701; 946674979; 435372385; 364750682; 228822623; 396439515; 100427476; 424316370; 787070883; 73904359; 971799036; 564626782; 915696841; 790203540; 696918800; 394326616; 815732458; 730091287; 222334009; 166259364; 352223157; 941698622; 269888631; 472717014; 621284272; 157871192; 938053698; 427200904; 904959489; 297487945; 723780210; 983417012; 699236586; 550327808; 556872920; 472213753; 977612602; 694359569; 154536031; 957427732; 490662015; 261089974; 487238161; 393864277; 787119381; 184561525; 84367990; 878332739; 879785846; 470979374; 968739962; 613854669; 220356263; 195682041; 534834529; 231746624; 309349494; 23894170; 727827597; 579496458; 442219632; 187740; 732354195; 616830866; 264528847; 187023267; 972864336; 495888442; 497125668; 47794109; 208897096; 100392629; 635092670; 383419324; 463845485; 278562302; 991372028; 332957423; 96651796; 656420552; 964223818; 35771433; 123149498; 228282047; 759116291; 858929586; 639725777; 820052716; 825320131; 502349163; 133923764; 813748228; 315444108; 661731900; 643756456; 690065629; 910043017; 265838913; 63758003; 803808118; 864914163; 114631325; 133086894; 356454000; 69988307; 241714886; 522491068; 386434381; 55763119; 103727757; 917893310; 81524838; 526712879; 193740022; 123975318; 559281462; 75590425; 333126172; 481019243; 186426676; 593994035; 225758446; 439588671; 32112872; 378728443; 91365226; 282487305; 229917835; 826498746; 881685297; 307741458; 173884910; 640624687; 219477721; 600917425; 866440523; 291841179; 634373983; 27442405; 71249426; 553708258; 613900025; 316145012; 651004939; 131358481; 937155100; 322969785; 58384292; 263158339; 531431384; 345035443; 202112992; 832914571; 807358126; 177165069; 832957194; 986910306; 59456900; 244740590; 667123224; 424887886; 113482451; 179765110; 860178639; 372250754; 229611095; 605882494; 656317386; 151303116; 756995494; 870859613; 763876147; 269938522; 307621164; 471117632; 360650934; 214611668; 226482732; 567897285; 63345534; 844229523; 202776159; 649545566; 676482544; 377851299; 748777169; 821246865; 393644394; 933265659; 485037844; 173722412; 616767109; 139497429; 450065701; 338086945; 934199080; 913760661; 14433035; 701077263; 455898488; 957604961; 140522244; 811022995; 856996116; 865099790; 709592100; 393629128; 364693270; 905149788; 196797857; 405669273; 969138926; 245218054; 835136883; 724743101; 265125478; 675449462; 61872795; 556918069; 974590342; 830304978; 698487046; 312526867; 388205891; 734520323; 839139611; 718976431; 834170337; 920920336; 967075233; 702345758; 77436243; 643775069; 885253056; 536353221; 711617081; 427772504; 781604665; 292657831; 964242738; 845465770; 623340138; 70760128; 734528810; 64166766; 943954866; 690755152; 365421437; 891556585; 940747755; 589367343; 295745545; 369693098; 703232606; 872997542; 821558493; 858123354; 211020882; 990604794; 688914515; 733896893; 515351596; 592869613; 2405117; 323023512; 167506287; 868109190; 195666393; 635510488; 421369318; 737859370; 892507909; 527321298; 64972594; 609891649; 988156614; 137909716; 119064581; 419951721; 740381161; 998602896; 281530563; 847607595; 368909551; 320583220; 726512051; 225255808; 73481240; 490846455; 797144294; 529105263; 89305411; 792199098; 111843154; 581574634; 749577565; 304747342; 408277115; 357145124; 114004884; 76730812; 796982054; 745437600; 528624509; 518234903; 165426190; 330010985; 260705031; 185379829; 142583846; 837090307; 605035018; 540196944; 524292146; 247913690; 234360293; 505485598; 983515861; 228188232; 790676679; 335219939; 644241988; 297163; 448698850; 499525201; 976191209; 321484534; 527181161; 232992268; 231978073; 291222666; 222688810; 22920577; 140971131; 438719909; 645897115; 531981304; 385421689; 224957647; 517324423; 824291620; 949784319; 368693066; 438311042; 663362255; 99685848; 446024943; 512678467; 30174645; 421466294; 411030046; 43009129; 854868509; 180948899; 223438951; 107683810; 86189238; 892639228; 531078427; 373779856; 4365716; 686420388; 96784711; 528409452; 82338264; 540568341; 697759606; 513975022; 946601475; 879325869; 523710898; 476588997; 503682654; 937480602; 890484331; 679089787; 202046090; 79923457; 586276921; 357815656; 661614388; 582434081; 225744934; 619807780; 394620102; 66295075; 374834604; 703984967; 608625890; 427360429; 866395769; 954812242; 552276694; 830477440; 729779280; 634132253; 288705843; 966474648; 222530951; 443078722; 498810527; 208527717; 327938791; 890831427; 46479945; 665484128; 477969504; 49496094; 148630265; 521987361; 114877623; 222534003; 805487264; 273227317; 377952290; 284087131; 996068885; 361980484; 460128667; 500639034; 638990910; 685465212; 916496762; 921973425; 694160138; 653694304; 530414123; 119327506; 918491677; 258699091; 498185140; 395157347; 38568977; 105593445; 181121520; 471624249; 514528223; 318748966; 824282766; 85598954; 94697813; 875277489; 833868061; 932387625; 841921180; 773690515; 358585786; 707724060; 916378145; 515550294; 1493696; 286811871; 120578641; 183159325; 526744706; 571356459; 160209938; 665424538; 223623057; 819543072; 257904770; 13605566; 66759590; 852968545; 726808529; 432423776; 739327348; 559757686; 572802230; 18392611; 83012372; 247237893; 804346267; 582028920; 512440966; 950239955; 11475306; 743259819; 166734700; 807958330; 636885074; 122580116; 534645013; 129653693; 34273531; 174685566; 562968875; 587763020; 122353778; 145513399; 925555309; 119966936; 235383508; 745997554; 423478118; 311851226; 440131586; 820599844; 576649988; 363158948; 206274914; 729775905; 103476304; 907557544; 145668634; 565606238; 746219111; 563744522; 810511458; 979190213; 919014956; 124646898; 492932213; 12714067; 972206215; 223710159; 40860685; 380550405; 609306582; 127233435; 546294339; 634445113; 25163382; 755855587; 779771099; 168181090; 562635567; 252139729; 488057304; 989636666; 345793711; 230362952; 802246609; 700541390; 964708886; 401731712; 351777784; 383465265; 102739027; 87229067; 911838970; 763513963; 247635501; 948592242; 607325378; 792300641; 446199191; 144808541; 695932770; 487459216; 787430326; 623340757; 894659726; 708731128; 483719880; 956502573; 144395223; 929576716; 885850002; 975852729; 448707865; 509013330; 292983280; 183928524; 332042492; 215118825; 753889820; 15938710; 100879573; 360365510; 288016894; 857058842; 864890412; 36910606; 366920479; 417426487; 634456834; 188594508; 916222579; 768497989; 606831283; 828017078; 737007121; 845993646; 210782426; 961621524; 844049867; 278605578; 84637449; 124674351; 410971463; 471602149; 423612620; 600110852; 262920511; 668688259; 447418369; 804855662; 564354877; 10006608; 797819480; 57818685; 690343187; 231487841; 588018007; 253610211; 257687443; 869570927; 631311750; 468878203; 940874166; 322029549; 464377636; 530525377; 746508009; 896304649; 870386910; 677065446; 574192820; 26970849; 679997766; 603205886; 979793712; 785099226; 302101111; 200132016; 474361124; 558018176; 126289156; 458322436; 844895821; 302568684; 492895008; 40502578; 627080322; 328861704; 341905260; 409734884; 292918154; 876837899; 624684540; 306127152; 718162784; 557563237; 598119321; 503305861; 277545400; 96032143; 974289501; 527954176; 114955644; 638752306; 964131272; 48697585; 545032203; 143810022; 955311816; 159627015; 478827688; 834098364; 617720381; 927391939; 420854661; 896272032; 303159914; 166759114; 811137308; 513714543; 211507638; 15602527; 645031308; 516613436; 774926894; 706268097; 539618869; 954495062; 986920021; 31974736; 436153026; 888880994; 887762759; 273818288; 972451583; 983871252; 629319627; 503403980; 289067510; 463510357; 455674122; 370930213; 29155154; 436053915; 265326917; 745988590; 683733830; 944196735; 33484006; 298112330; 911548598; 596165061; 917392933; 712337484; 294266421; 222226715; 69744853; 617789792; 81221151; 769849920; 441646449; 179473804; 936374814; 251292175; 93801420; 225848534; 927568546; 142159828; 529884385; 529179741; 539618448; 925287096; 681473740; 178411906; 140054018; 248021256; 398152659; 101533723; 998117023; 779306684; 141956429; 127697751; 356946781; 213507618; 647700876; 913727706; 169623124; 406381813; 439840287; 856721779; 298631271; 177448575; 305274997; 48268875; 805899650; 55146656; 440533876; 953156711; 369350015; 402127551; 613649269; 545760174; 897363918; 615507763; 729320973; 326593812; 167879111; 940491290; 488487081; 341691670; 564373404; 631215795; 615936159; 513819211; 368530540; 870154303; 250393521; 170094493; 926730587; 173457401; 997803945; 512995295; 668969830; 98850599; 465253565; 534495169; 192483836; 363556051; 984547567; 287523008; 292742716; 468975140; 266383431; 36322612; 630200435; 909536749; 992607725; 208184700; 129912514; 273999629; 626480797; 740817506; 710250524; 502556683; 85550985; 725957355; 41766650; 502765964; 947085642; 766255416; 212286591; 77383102; 906629428; 569346133; 48985758; 903429420; 741500816; 159589441; 667921477; 85086534; 128938078; 436355843; 458013114; 807222625; 682439589; 706247330; 23420410; 833500745; 690816690; 623309818; 532842962; 214699212; 841121682; 863429514; 405997568; 560990076; 727955830; 726021315; 882665249; 799354436; 671104439; 80751002; 77889158; 335157287; 932715297; 262589848; 62785560; 825059102; 251189497; 829625494; 560016461; 994484021; 642293924; 642427621; 891909450; 607505778; 243904409; 642401111; 278807871; 208381814; 364686162; 648789449; 236651718; 245087252; 989224924; 799300482; 845396540; 479279042; 521768532; 156223619; 821922953; 314912167; 724496411; 656764655; 978739518; 430245392; 191930989; 88279139; 431659080; 693176839; 165658044; 597541809; 185678887; 842447640; 684061226; 453691428; 824033619; 869138065; 693806589; 946639360; 210090813; 250036573; 663579605; 146811117; 61613102; 246315775; 286001732; 191703160; 404547853; 845553762; 638274496; 762190810; 722708248; 536377244; 547999792; 381555413; 7330998; 980228165; 674554121; 794866520; 399013501; 367689060; 276860064; 820934024; 978129733; 976353264; 862315573; 252967131; 290946748; 304748981; 488900870; 315547114; 261198586; 777432195; 148404770; 245107947; 574400061; 7801143; 100797862; 795408241; 920534859; 747004254; 820721499; 562573381; 263067150; 197074699; 586515261; 401181505; 399822174; 500148247; 655202362; 896155427; 307913351; 328288976; 403767602; 532113945; 297794492; 520533705; 403013653; 991377415; 605776450; 435682552; 785872773; 424925238; 593358660; 156868191; 843238506; 669960590; 862998626; 105592743; 968269002; 948672389; 236630743; 202926037; 991308302; 593882563; 44783667; 583771370; 494403229; 12484289; 506508268; 752553528; 778255333; 195839029; 781632226; 498814968; 740375594; 160723059; 415840716; 127330765; 607158045; 717462603; 348796624; 611856883; 453063437; 212846098; 571968143; 787592691; 404721908; 801934459; 896645450; 569029103; 505694180; 61649005; 761921637; 762921885; 714274692; 621566468; 591148043; 718851043; 449726040; 208105375; 452873649; 301690725; 905497636; 117991340; 132125417; 430242172; 797093770; 772380779; 827672263; 961808334; 885905649; 432777405; 343568380; 585444424; 506770058; 847408438; 320170860; 433313717; 563028385; 759897878; 412942311; 585325073; 806109515; 390929922; 142711836; 208123998; 458165898; 839159768; 863567265; 522554965; 645053303; 161273990; 469712087; 238001365; 580933609; 615832362; 419716408; 683927892; 210842416; 293323805; 401894778; 479868075; 68241399; 135646984; 779799704; 44858655; 906955183; 6126059; 545173540; 272456366; 973459548; 972256160; 74692390; 680213242; 790967699; 859441228; 546881699; 25538635; 453941965; 969673149; 741180146; 233060818; 144012766; 487352293; 452670880; 182176284; 476166110; 774878363; 179793739; 597555669; 630897630; 236980679; 573150714; 99558176; 95920357; 463675353; 187689781; 717926280; 111505322; 374498481; 211294030; 320110452; 32319372; 204677937; 209511675; 637696352; 900209461; 894539628; 784169955; 856595274; 239222799; 89719179; 879339512; 524299201; 512709342; 514493443; 612491531; 402655353; 879332403; 950935309; 668423258; 753070127; 94342579; 877890364; 407986993; 646356293; 781571047; 515059722; 541698726; 851765279; 236977012; 264292341; 772879614; 844095385; 215222391; 226947318; 905680213; 376155211; 496460819; 835446672; 497127940; 987645823; 805196719; 795655731; 127015767; 64013676; 764551266; 204181797; 364351537; 904567417; 495461954; 567918887; 40065282; 658812114; 333456744; 101746199; 617995221; 819632107; 926525411; 393031579; 737044377; 12096313; 587288120; 900681161; 360424369; 191557396; 595106397; 360498429; 840270187; 825811619; 387844476; 479214030; 577845388; 19522144; 271617544; 897496618; 100240031; 421388168; 511078774; 697401462; 2847414; 960206885; 567695114; 8942094; 327761295; 773797430; 329124689; 1070775; 42813933; 375350724; 366395721; 318649751; 532842263; 258408806; 811026169; 549266343; 969543240; 413071714; 91895855; 243855707; 518305154; 966580873; 413559808; 41782270; 900957062; 122728790; 641979999; 202622652; 438450654; 103518179; 767457030; 94407829; 447084778; 987038261; 368090346; 402539184; 508035741; 45307599; 764903510; 148215974; 103739806; 792337999; 793596856; 554294093; 303272971; 10937667; 815500801; 1201387; 814246355; 113264062; 884670643; 228969912; 486067439; 50040031; 856229740; 5245211; 197786008; 452549367; 485361263; 172479938; 541628237; 58193476; 588920462; 591795564; 663707863; 590583262; 759970077; 372631191; 767265183; 25338929; 905179513; 884312359; 472498201; 75921202; 972014241; 919117178; 314855462; 449380244; 494681080; 796316857; 265250945; 178075294; 174378720; 179240340; 884264700; 125729848; 686924861; 999334820; 534197820; 148251941; 574969655; 507698758; 138232853; 828913257; 333423604; 865617453; 338314161; 337209535; 989264682; 321511669; 58610142; 117155956; 294105343; 139570196; 248698784; 75516385; 782773129; 967934515; 591824927; 968996640; 57772953; 814466757; 879520218; 74945156; 732237660; 295580119; 507806324; 114977248; 282676644; 15916365; 106928443; 401120202; 143750421; 100940810; 291017475; 102736053; 874917751; 101734205; 729314311; 699301584; 610055373; 178310327; 757716330; 448258561; 435999441; 175280119; 967008821; 79307392; 484530902; 633482023; 917335568; 160779059; 593738408; 579677310; 624623764; 338755128; 572470551; 146781439; 630326264; 944027306; 399645863; 988498934; 709574880; 605416044; 210251506; 423392745; 242295210; 749281875; 708035836; 615613219; 541286540; 786122102; 753924422; 927343726; 99129873; 847846921; 218105320; 760846005; 880488145; 389636939; 622162134; 778513479; 133368303; 993159180; 755700502; 335555481; 887759899; 886872791; 450170417; 879407282; 881496310; 47204625; 847273497; 656344634; 4900219; 594055922; 140666469; 394162002; 187693001; 183244442; 213561494; 734237212; 727160440; 123023142; 438769780; 478027807; 219243778; 484167673; 581337837; 586420040; 270518628; 87895561; 937255932; 106498779; 396238147; 425171843; 929313058; 247494450; 813192283; 115507370; 183453336; 792630667; 800019636; 87681126; 317675284; 40307889; 292321037; 905426226; 39338957; 836155024; 294880652; 468129158; 36661880; 998609368; 347636150; 208154210; 408973718; 44230871; 989707503; 597750522; 432386330; 787763238; 248259424; 731109681; 457159011; 566956; 586594866; 41512029; 100662668; 296633217; 633905950; 783673212; 886910894; 422931356; 944348616; 756298884; 386626157; 440832423; 175575617; 960475414; 5438370; 525057067; 39809783; 337092226; 163035914; 54220008; 271692113; 277233777; 426518185; 980713812; 598978017; 149753661; 398795574; 630339370; 26650818; 152257671; 500971410; 186956039; 816141362; 881137133; 814871390; 916350182; 339716193; 435164759; 706090084; 239747506; 365756435; 786026881; 510185356; 751588910; 879715442; 28894495; 800767426; 82298510; 902885733; 141790022; 637007667; 243761178; 329216089; 16430943; 479258332; 864611125; 372415641; 801812503; 327091565; 729666532; 319662824; 732109941; 178762291; 584571472; 853581389; 921981559; 91966392; 364795567; 587938450; 729425764; 507957612; 864806715; 836287492; 659418179; 242175737; 831515044; 948389290; 550236985; 940254988; 206055765; 198468569; 261429289; 20580006; 176892430; 170317827; 378544467; 800038116; 976850022; 902716292; 25107985; 298586132; 897999707; 70993381; 427338297; 700779604; 744321334; 467362183; 490479302; 38817962; 857067980; 994233227; 843679462; 420854966; 128160402; 846998369; 658238282; 573446184; 106573074; 621722187; 621683453; 635878714; 843867577; 2458050; 694052209; 762211724; 286197456; 617234570; 418233425; 736438006; 308816928; 130099301; 307573998; 287293470; 161678480; 677355310; 506198042; 562771228; 753875167; 706671927; 443233900; 356679775; 352234249; 223116351; 444540979; 782016431; 794798924; 242624989; 545286392; 253913076; 870317015; 716258246; 717218777; 219471967; 446484779; 505849694; 666886378; 768140744; 467501185; 650280527; 602503397; 24197233; 826009768; 103134868; 901463765; 229498243; 70147768; 154086278; 990270278; 729842895; 531368972; 390859070; 651416991; 470598977; 89178469; 726912823; 64313058; 761996386; 181412766; 786556527; 796470930; 996519655; 904481226; 543906603; 433075512; 604921289; 828152469; 378677460; 923068541; 584288134; 409553741; 200650734; 623706219; 81604982; 607160574; 455412205; 274638356; 545137918; 700002295; 555874695; 456173103; 433181944; 216692670; 342290167; 709336141; 152860447; 462445929; 101805040; 133573590; 369775206; 93231740; 805290244; 119581420; 884575645; 744399260; 98542532; 284685821; 127123212; 280987464; 646053252; 35446495; 555698040; 944483176; 867281788; 829874262; 493998003; 260726958; 789740101; 429885728; 176660251; 644914512; 389757195; 237952679; 739939873; 951283729; 946083910; 996284428; 446008237; 641750011; 494398137; 661327626; 370051432; 541849794; 500665153; 70862501; 313997436; 413323395; 690317619; 180420116; 643335433; 445604115; 614783501; 20053634; 792024778; 554982531; 535065450; 149803219; 55255381; 345877856; 839963634; 845807311; 721236169; 949127391; 134055492; 815071981; 360471905; 838237090; 162163015; 913239096; 370743054; 565579818; 877067411; 245337220; 281722992; 305557441; 266004831; 711336873; 68917587; 403608861; 416484770; 380012192; 89383184; 313542370; 925620107; 469839679; 411167210; 320015481; 768201388; 693273383; 942540000; 831724930; 769835299; 450637806; 934278292; 913799858; 434029191; 523849057; 375525546; 928307655; 369269869; 899318047; 200869984; 474580545; 510674728; 622044542; 166689276; 597363363; 109551750; 89000848; 891482864; 980196173; 770911175; 760492085; 991705162; 799978892; 675481054; 155385392; 459865052; 564370206; 33415674; 46262211; 37120505; 390692885; 814396790; 873245155; 6951939; 953421514; 557633724; 277141142; 267396714; 960859056; 330906971; 427236138; 650915703; 61131436; 786788665; 404345325; 363094919; 568469436; 772166468; 46164131; 691201555; 857836090; 207666322; 180711311; 398887866; 271909009; 510545900; 185545300; 433536852; 18024763; 347155411; 365384020; 9664755; 429919961; 339305228; 754057342; 411344789; 24595413; 179785873; 780665585; 706510128; 369321433; 585830569; 237099967; 498210176; 742391246; 445330217; 283777675; 410404925; 593162758; 930275599; 197179683; 283330221; 894466080; 342885605; 339550870; 462608738; 421670310; 564597115; 177296099; 675016329; 36246039; 41647346; 245706124; 894593821; 473701600; 169638591; 483657613; 962292707; 892470222; 90442360; 437947172; 45643531; 460591297; 825142735; 536283557; 809346011; 885327188; 326963645; 196288550; 416527113; 823075813; 728715845; 411506406; 741460331; 592275125; 965486472; 575309234; 113331285; 860018784; 284683860; 313509834; 30890028; 933122081; 36503694; 270760667; 383359138; 999650774; 630340380; 601413470; 316397928; 25242741; 607604380; 461614534; 62416655; 457205832; 142293289; 157996740; 252068133; 12361039; 639304505; 151435001; 494600090; 191174352; 556053620; 903763415; 754789303; 854844340; 675799274; 385151889; 229054896; 30040062; 648965248; 566835689; 564591660; 714995500; 695746970; 730408564; 658546016; 19277563; 364957967; 735253372; 956443084; 586269636; 539152790; 178364331; 179915395; 717286111; 695148372; 637240014; 731417684; 310370073; 873498238; 745556497; 388475335; 371060097; 904510995; 802221515; 582145589; 625102821; 425092851; 656539517; 900383370; 383864704; 175550286; 46357285; 365780139; 947927570; 584941720; 210754429; 29426985; 466030280; 351901808; 197222593; 504001913; 870465847; 460792615; 779189742; 968677244; 506244323; 207240550; 70362070; 603369610; 315236423; 226479171; 141495637; 453946751; 347591141; 839682512; 483929931; 706230521; 355395849; 984593801; 69013680; 517998396; 711323066; 395713163; 255201229; 120047201; 153606515; 510797931; 930045207; 509646452; 78073144; 603989550; 741863241; 599176515; 539995343; 240427074; 916236828; 684223632; 494784052; 226672558; 591057042; 752883359; 452837395; 538715086; 206897188; 911919012; 606596285; 855681718; 614153241; 306646044; 624530378; 732934476; 719898570; 868942993; 348240379; 852506563; 140557326; 586694771; 712650640; 828831717; 880988884; 5498789; 600821719; 451731948; 746542169; 434129765; 195405235; 758893117; 107694449; 605882104; 380168326; 581356102; 720878792; 248783449; 44231247; 998401501; 92000472; 624957738; 440594835; 435037854; 453670036; 571538270; 784321066; 311425280; 391378239; 975152816; 859443221; 789410516; 779713166; 415841295; 181947099; 868012409; 412433218; 271348525; 198631872; 432263383; 467662827; 715095613; 892789682; 401971931; 951256758; 881550421; 842851524; 284497079; 242477807; 512456242; 653686947; 141570634; 729245036; 476002290; 910890245; 903874956; 727540677; 907372907; 297838735; 670810652; 94179839; 245107839; 427489487; 645687331; 140639787; 280563281; 460933293; 44612582; 577503889; 829890116; 167431388; 267778917; 310006195; 796582779; 902439146; 339166634; 996462393; 763069193; 370487647; 302263122; 301904214; 496166514; 464810672; 423109277; 910603425; 177694851; 228739421; 662595315; 989979179; 256188946; 362500744; 144830387; 529822663; 131354618; 829469465; 384978464; 519646321; 360765927; 840399030; 288873492; 446028344; 40687637; 644335939; 993345168; 119159155; 253213484; 681473681; 229926640; 87803877; 887655713; 402623318; 678616439; 28588427; 588040772; 1126262; 622874903; 504403918; 611689475; 186116336; 337064678; 985773136; 895603696; 774221178; 310253483; 75406587; 571225996; 823025790; 724456095; 768952292; 784435229; 616700188; 194191708; 90061991; 201214065; 154907076; 938161996; 742732463; 523160148; 279620580; 612972292; 351776938; 440851041; 663445813; 922634276; 111284399; 965131187; 869859529; 643422950; 764967452; 825277119; 710188538; 509539517; 180172729; 766987479; 663711015; 126544133; 108680358; 595961046; 999775804; 249380015; 827703966; 478374087; 622721622; 364489938; 950473773; 910787523; 980094388; 329286102; 943229671; 318537191; 290902820; 728356243; 221729727; 581624765; 226766181; 782257923; 215585376; 74320695; 871230117; 539734037; 228838357; 759889731; 528869749; 775885785; 296250743; 9346279; 78827873; 796513676; 695583143; 767182416; 366524558; 293568485; 665153374; 445572066; 114152003; 873549914; 458682416; 794551203; 749443547; 519589885; 6717085; 351196003; 802468570; 436909262; 9016203; 333209166; 427217039; 213998683; 322872434; 250753477; 925149573; 386203047; 91146005; 645259372; 454915302; 576904613; 436528236; 598896207; 550994846; 167257459; 20113732; 657213989; 428934136; 54738093; 270808126; 809839467; 460822254; 777662662; 382365179; 598626599; 743989505; 781309165; 342003887; 250453212; 519378262; 563928287; 825654111; 528074435; 901349786; 586479157; 551933569; 633652871; 1925256; 183376311; 541201676; 246691447; 319224753; 451926304; 46870193; 758347806; 535732377; 237379273; 140121072; 298314762; 707425468; 563747919; 225263386; 697842762; 941663778; 931436019; 131299228; 813715216; 747984919; 133286180; 124867404; 716487955; 616984589; 486258351; 196668619; 586132507; 87893277; 26353883; 349934334; 715401399; 144620325; 990169710; 826263668; 324704951; 953718622; 142882235; 74793282; 463745756; 908443117; 742822647; 292311244; 799763681; 260934217; 805935776; 942916291; 549509676; 592644695; 144244401; 258966334; 400861428; 771154920; 749358434; 322992851; 824982284; 224045660; 543977788; 398523199; 967518397; 344023881; 571882367; 935612894; 136508809; 641262575; 112645172; 603747006; 126903285; 720214465; 828360152; 765586279; 43091678; 642197057; 771087866; 328583958; 263515116; 760306588; 923856538; 743673141; 160845541; 459810350; 170963770; 958226409; 393152319; 745855038; 336605154; 690028495; 568625004; 830859796; 195411530; 886298911; 590198582; 1810033; 360572911; 487348733; 801706654; 942877947; 215449692; 302195283; 496480013; 512094360; 101429037; 908206650; 888632835; 898030257; 616963151; 88889014; 697963325; 224386269; 291808262; 202079063; 122111336; 362764228; 699350115; 160714742; 608212397; 148058347; 176090810; 50866787; 320739844; 959369540; 683888288; 902105812; 314944523; 95599030; 512594441; 257689902; 352115741; 126727376; 902037367; 594878314; 48866027; 753137477; 240998202; 392992685; 925497984; 401388054; 552579219; 224769900; 98481953; 953760539; 897759967; 56974472; 203212872; 502929704; 243273378; 557279890; 200900415; 642673455; 352866346; 167514593; 939635421; 600989914; 35540479; 416292901; 232847294; 706800702; 631175926; 269126558; 677437298; 700232448; 492129246; 125070034; 331903331; 693638784; 916658549; 758389966; 94409759; 417911937; 557679900; 687574830; 808870036; 147494664; 841584610; 690464822; 269744702; 115200388; 350346083; 692191734; 853484276; 730577749; 513492365; 500432518; 32888194; 677654303; 137455513; 323671968; 310495737; 640877454; 123242345; 767443947; 949628817; 842824345; 14905313; 171093503; 335330887; 350151325; 354564774; 588921924; 823182690; 610534862; 537716577; 806776991; 476588836; 376009833; 55604779; 132012358; 266298940; 73180704; 588089674; 246475230; 886598267; 874066789; 994592177; 611922566; 672327342; 732460080; 339843865; 588977632; 361200044; 729019950; 787956935; 745019770; 887330529; 489341485; 674967036; 758832319; 352308254; 27543823; 217269087; 734334680; 837958496; 866163044; 710967130; 168131772; 846390208; 214431654; 367987628; 761004517; 975408612; 732519431; 908312249; 640015554; 267804854; 561661209; 209787062; 512836598; 462660178; 191283014; 510824749; 592308920; 979537183; 905234127; 842560353; 421134090; 291502139; 213739898; 244599138; 446363711; 788555725; 733339086; 382013489; 190255789; 513977479; 373312151; 271365380; 949822238; 230837540; 347984411; 13569898; 112174637; 478555026; 660871897; 720667999; 777474168; 115779698; 463199701; 430216693; 934097317; 471921045; 91850628; 130219282; 739771101; 102087573; 798115097; 516626877; 993767031; 852198703; 588393118; 580574673; 524319647; 340658345; 48575616; 607049264; 102591903; 164426346; 28075347; 829198862; 722898117; 821563365; 830000206; 731995900; 50681376; 9468556; 367631452; 124485313; 508842155; 549453360; 942452409; 670564670; 615230772; 356952925; 384439628; 877200020; 491129205; 296757572; 858705582; 740859256; 228429900; 975871560; 173143188; 315971800; 914061119; 484665060; 747778799; 626222307; 627568451; 310628248; 779864569; 653098516; 938255542; 292202603; 37629150; 289896693; 314482712; 601220573; 387162759; 958501044; 788653029; 750898166; 881487199; 203172838; 78729167; 334263041; 854053566; 433572670; 593614272; 447087120; 631717127; 533140948; 17077726; 886131709; 636141808; 101514555; 954417551; 296352494; 803672725; 914371600; 822037161; 299923350; 812455679; 459761967; 42464997; 254645728; 602872918; 277842263; 106882194; 533159450; 861486763; 996743275; 72956312; 442505270; 600981444; 980965715; 313261605; 99249770; 342878598; 199198133; 791152933; 857910455; 325543347; 721434677; 56624333; 497859518; 837043063; 930267370; 4720500; 343062817; 649610092; 970591431; 417094847; 978359733; 597413067; 256922018; 633024948; 196155088; 869462175; 862597170; 744845170; 306450881; 120381566; 626066816; 700452371; 153661639; 925811473; 419151459; 825038855; 696281672; 281118236; 536943847; 572952903; 985363798; 929512712; 155332403; 344233777; 171650713; 966751823; 669206667; 684238328; 919507229; 278927231; 133171972; 89800805; 335753219; 422154814; 825218948; 743453718; 400922233; 375251099; 420125923; 728338690; 256668343; 561743615; 450817483; 270280069; 598969336; 488490183; 171947900; 482515899; 443990499; 491695214; 179465706; 584366783; 323337054; 610319883; 607030747; 754664683; 623442218; 544529872; 209406916; 184070187; 218465518; 94376472; 130112401; 269250530; 20142092; 956492836; 116380963; 97095841; 104706941; 798010735; 11509645; 340929803; 158803704; 43832140; 385257866; 313154222; 22000593; 506100462; 849370047; 787491645; 213582768; 763405144; 548349600; 392874432; 854000543; 781432744; 428308161; 157756852; 59194494; 330777032; 599256205; 42794255; 96613379; 373692648; 197625993; 461513716; 443213425; 983865993; 233259736; 272213433; 796585752; 144224798; 479046504; 600019389; 924247870; 621816693; 349622903; 175689659; 145617825; 870844653; 72482253; 580256784; 862626822; 79423232; 816691361; 544565188; 62286176; 427192235; 770614070; 559419284; 195468410; 313622853; 998013074; 269630637; 10319621; 515673207; 406361672; 880458184; 653311203; 207772272; 869090753; 20219974; 131177342; 150264742; 64449057; 733395939; 469787880; 718290784; 245744452; 610355944; 631425972; 834789793; 961061669; 504886730; 302892829; 287222236; 359043765; 783139435; 213518070; 739929537; 284186460; 860393588; 6602091; 117519805; 177078433; 400889537; 235280967; 76341180; 69261279; 241111739; 700939571; 434351453; 629233940; 167761412; 49390756; 252855945; 14119319; 464936505; 227818142; 642885945; 68674486; 715000309; 267122957; 696413231; 146467127; 793006100; 597593264; 65848633; 911379436; 819254455; 772182057; 624138651; 593165899; 439455290; 855817464; 102795386; 880009062; 174202208; 944081658; 270437267; 489343578; 923191772; 17490706; 656114667; 645670076; 415342915; 322015236; 742109455; 406933230; 181467538; 912192047; 129787521; 315284754; 195865596; 375740064; 429103738; 284288747; 905673226; 233269225; 994334651; 147244910; 827694642; 960452773; 957338670; 387300459; 951269519; 952043937; 802048372; 583503389; 595363954; 598677385; 677812530; 617704702; 801528963; 207138846; 13569224; 23281554; 602148900; 301687163; 209297871; 32444801; 618420957; 767965156; 889180711; 6709594; 491087800; 568029561; 187214396; 813434197; 138193353; 171152548; 111422859; 820784686; 220970556; 324937004; 222318269; 379305784; 359101948; 176929510; 241263930; 100868839; 343104869; 490874792; 902144593; 319030684; 844940842; 896948492; 985426562; 666195722; 447159813; 963824352; 921527068; 270465466; 232360248; 726214419; 223059729; 431399179; 409530927; 867029404; 988742849; 325962591; 606271263; 976650484; 430166170; 823646155; 965605853; 215933008; 655036168; 256162343; 151375092; 41398651; 433659928; 370322143; 614421357; 101155850; 551521000; 579116291; 897938369; 169010241; 971733618; 300972287; 699678920; 834151311; 757445766; 750724311; 939819221; 280222369; 998015327; 646898493; 602439793; 75757562; 520673231; 601396688; 503851428; 921593141; 289318689; 645243001; 15241732; 966146930; 176740784; 198053177; 972400634; 310571346; 873112589; 315093123; 555625194; 620605568; 295959749; 381075016; 558839323; 915630999; 383621769; 93801851; 930284333; 384363643; 949383904; 720174342; 505132615; 468761268; 968734124; 565323933; 913418683; 135762185; 343953763; 518992338; 340581600; 586553447; 168695518; 742347997; 264982490; 936328602; 940006669; 29110776; 771415544; 997760074; 375909238; 389001959; 557341801; 433438983; 841527058; 685425776; 542428344; 591611368; 448179246; 824023513; 651654517; 279974934; 292037044; 212481217; 961044728; 945278806; 479870144; 455208327; 818412345; 649924454; 917427469; 626407198; 247093633; 878256019; 943980281; 79600848; 307241997; 769992554; 259601344; 198877320; 182170076; 476334376; 580069867; 437460587; 446978551; 702583520; 292793273; 430833191; 473183850; 98421621; 985132218; 266514141; 448591185; 364988325; 925127307; 158368887; 519945413; 428833889; 900865042; 349748611; 846180951; 191550901; 904091929; 381363734; 286433212; 481302731; 4195519; 552892267; 98651957; 165271444; 143282317; 395862308; 557981135; 932240323; 511211359; 735545563; 996873242; 29478707; 87521820; 763189459; 667072482; 162578508; 854706103; 184646012; 891147707; 783790910; 528874106; 877535216; 527410088; 62485780; 875857166; 738122550; 160596556; 279844205; 290571470; 726791738; 179549095; 531408556; 996411131; 593195282; 27106194; 985279911; 918059058; 144463801; 147127737; 748535275; 886005506; 125500959; 591254245; 496754619; 575973760; 802260278; 200406460; 103433268; 230298400; 744948332; 803233456; 991680098; 400272203; 249695530; 832879214; 775918575; 760074250; 932411634; 591020691; 853969878; 761948056; 53629884; 487582934; 619335556; 444900737; 781252828; 332746508; 678107679; 750290247; 934029440; 490041258; 627899093; 820220512; 206413881; 786586577; 153641521; 598125327; 390394228; 299276859; 328992552; 124559755; 242189970; 641080965; 543094805; 324069343; 715465709; 719914738; 183712743; 75561158; 416218598; 5858903; 99646881; 578940937; 587018792; 275792673; 406952079; 136488714; 32389325; 562389175; 829554862; 88304306; 271536071; 276805940; 225148607; 311979651; 513163828; 938762483; 701971456; 718025051; 524163441; 201373878; 566762226; 493697577; 249702262; 167106337; 513340431; 271307670; 262813390; 471509161; 427814468; 75458777; 518536572; 575415913; 127654975; 972077645; 370764862; 531421890; 636300597; 10601968; 426306835; 591595304; 751980509; 335911543; 448536844; 19717366; 785296340; 117635603; 114992183; 223500417; 404160681; 749086733; 335599558; 689329048; 644731982; 330160272; 502144191; 832412682; 239378069; 258460129; 40473753; 362685657; 415773639; 683970980; 158336038; 714636048; 102404828; 485837534; 612009054; 640122922; 575595328; 106683393; 10956757; 335758513; 962629426; 47327849; 914666161; 671021581; 850154856; 8548262; 380743038; 301608244; 430243850; 806627096; 587342818; 407522376; 245294309; 945482463; 612881114; 18187243; 281975708; 257303067; 794306753; 155970207; 340345844; 400946170; 806353892; 544434500; 703897933; 442355185; 316581294; 684189408; 621938175; 208690508; 222799275; 554002812; 31883387; 532508137; 154575732; 424080798; 249136547; 467039511; 236867270; 681401980; 847246268; 851069138; 284281864; 981088812; 809649355; 308627605; 614907789; 861389527; 327657526; 736204679; 562074367; 97154324; 144242884; 677620782; 253993252; 6025289; 353517496; 559744377; 640464975; 660609842; 20854831; 548420541; 51549722; 525675310; 41115447; 120963189; 563180152; 492050967; 664735473; 534918277; 345073315; 187448148; 746965645; 553517931; 839936618; 264860851; 569074008; 6870573; 328639464; 989028437; 639571797; 548173522; 135303194; 980905590; 456443591; 535198172; 530395197; 446504348; 837047899; 686727657; 381449129; 519765706; 424540040; 645769820; 641105100; 290912226; 858791554; 461161802; 419304377; 295939139; 745756683; 33926579; 243059119; 159744542; 602487848; 665325109; 254126239; 416881944; 417750577; 320608170; 228128630; 634630498; 461835599; 342200366; 932479963; 229059220; 833856776; 305728100; 758270896; 967280027; 888729570; 727232250; 765122305; 613894713; 262476780; 449468217; 912232999; 329801062; 296478814; 677789495; 980224308; 363452725; 758379818; 127967386; 864865459; 346395180; 787707428; 227514078; 642885905; 396854655; 729704206; 817558011; 527100601; 740306444; 996170947; 233601668; 705242394; 283654216; 454724353; 811110123; 462434858; 720795391; 776023374; 457833189; 63924965; 608662744; 715858273; 77114085; 930955627; 491674796; 16553004; 398436237; 433617414; 349156562; 403964439; 169020562; 31156080; 11631660; 578166479; 223178570; 990322858; 580442947; 643283999; 536913077; 364292700; 989113098; 126195088; 921244843; 103170949; 68746741; 560853667; 224154570; 998754411; 220905780; 921576270; 233809208; 381853558; 525598085; 743925177; 189810516; 779291553; 218799119; 860777342; 329215468; 346253545; 430616151; 107475751; 215604253; 249689510; 269598529; 25447598; 265070263; 359921829; 967506062; 113258957; 974381912; 806381126; 153637704; 277696792; 741509397; 558247440; 232217984; 564885598; 512518870; 215980162; 657417215; 95778656; 769142300; 197522535; 886114993; 494023256; 785022369; 536841842; 278677087; 491608737; 970541356; 47348690; 370603830; 699763172; 540747851; 423995332; 734113964; 14396512; 52667651; 690773035; 337625602; 625781726; 292786570; 217408386; 800338199; 458857235; 669147255; 26939763; 909496679; 491305129; 503130192; 832770322; 643472559; 22342940; 666896579; 719438996; 290725257; 257387599; 987838991; 432704318; 173648766; 923441872; 545552338; 613708844; 361287576; 136583252; 347127690; 528320472; 39309720; 431411777; 953840021; 121353639; 523181065; 274440138; 92878385; 252479512; 571606185; 928965325; 206819983; 744141114; 49160443; 193051149; 195295084; 559538996; 558900427; 784578185; 708794649; 22566930; 1658474; 857655099; 161142916; 458743720; 567948807; 736328382; 843917922; 321065274; 286110666; 676491589; 83476410; 7561759; 394436957; 667132054; 699669436; 83498581; 535629695; 1003396; 783593553; 428403359; 739239164; 393360118; 336634708; 958260873; 350011959; 257723406; 636540669; 897895729; 471801083; 807832401; 464544422; 33917752; 722449611; 374291163; 979693551; 373438067; 166023636; 953426981; 758195381; 894822198; 748055246; 69502299; 848394258; 90693667; 92400176; 347452350; 919210414; 410731773; 370409206; 589525307; 667407201; 955113407; 379536235; 493618597; 476670661; 376240007; 302941060; 949041618; 590587344; 669354002; 161277984; 746257800; 502635238; 891755315; 566694337; 859529485; 133860971; 493616229; 65533227; 253706283; 236807158; 47821472; 820307622; 995642069; 600065452; 480836143; 545232435; 554366697; 800531889; 794730835; 357093859; 141173133; 859541168; 353520695; 923259519; 486303678; 487739786; 886695909; 208143405; 181845743; 482433343; 753503132; 55525497; 515161332; 494402842; 453162891; 484192428; 332967339; 418814566; 559922655; 245847877; 319457487; 534691871; 441725154; 707249620; 458593156; 594740326; 29842158; 503268762; 982678941; 470236719; 646586313; 520371112; 135948988; 131901277; 799315019; 532422495; 162177424; 450223498; 219021158; 633338566; 409995671; 251042217; 374116598; 305870230; 41289606; 918988421; 789451839; 200411390; 89134397; 688118932; 267757214; 494924471; 646928837; 339580765; 799589742; 596303909; 281061356; 365082586; 49125431; 174728824; 620270686; 931378709; 378420686; 938453360; 976270394; 856832556; 934048475; 40698145; 731613828; 572685620; 555286120; 818890520; 727879563; 60264097; 472907217; 953937854; 580565845; 28685611; 487084993; 215733288; 669972882; 268293848; 290797193; 585412677; 136392297; 831670960; 716304993; 670478175; 568082175; 778986465; 935574287; 374845911; 501285610; 122711572; 314328480; 513910248; 108254074; 760171417; 839298152; 880121563; 510230606; 951380107; 765966769; 699890560; 772966560; 81787297; 869136326; 842794636; 209985653; 117452552; 334817041; 147087135; 905750490; 827675286; 885212900; 667164858; 651763037; 594434906; 737413004; 22509993; 867788023; 782059099; 970204603; 617730144; 471105389; 919456919; 815585044; 317794022; 565666097; 593992655; 601519812; 822392030; 588028143; 919476851; 171845167; 17880208; 624792193; 430570554; 789452833; 554275354; 469704483; 474220676; 984689125; 966619797; 51817810; 36414847; 208026505; 600341889; 82762863; 783518376; 213506720; 201227710; 43316894; 463896783; 22362706; 508175351; 790139712; 845755385; 371513652; 943539140; 978812478; 641554998; 376700902; 955767574; 315505392; 330105210; 844028992; 10175356; 238337176; 59221089; 306415200; 58616633; 291297052; 30664793; 415172814; 910002497; 902615725; 756895577; 686904422; 519265120; 231588460; 466066535; 452661226; 7272133; 528926886; 751394918; 349636619; 867721053; 744812540; 612017067; 740043615; 985750229; 462722200; 628194217; 26728494; 595217683; 926347470; 395225331; 148719610; 18814504; 199525845; 972130268; 210862222; 798880081; 864862198; 502029878; 402310035; 117693298; 328714756; 910806271; 848830764; 410526852; 190819816; 889635554; 449399280; 629036783; 532892571; 290794443; 109691618; 52609812; 515022467; 322501662; 251299700; 112661557; 594534836; 397228264; 545458080; 989540775; 502878995; 869119763; 476973708; 378176745; 548668030; 155740986; 842677881; 450377676; 230898774; 21790045; 735071619; 550916841; 368587772; 56611091; 476044527; 409381692; 778821214; 267430067; 384887660; 260906913; 213804738; 731882011; 497487605; 196537277; 965668240; 996465171; 140168951; 598428497; 61822931; 928469206; 926326264; 583987943; 304871504; 327990; 785709283; 566225656; 232156099; 600241339; 217546863; 636532643; 254643112; 139217081; 814735335; 375095819; 573921663; 749487824; 384241906; 951825004; 580254433; 546244928; 159469428; 942621178; 594964873; 672573417; 97855911; 133807389; 667719641; 29728984; 689053488; 294601878; 190104108; 366615142; 217069600; 990121672; 186467773; 350118129; 649448637; 941380524; 100312232; 967825245; 498752143; 601943538; 310803571; 945092618; 763731090; 406605517; 644565329; 83685935; 926151759; 915578023; 111424391; 479248586; 905447680; 230477733; 222134779; 509024027; 784187129; 699047737; 941384679; 966925157; 17833904; 249007169; 583539467; 33724655; 439801859; 153519275; 116012107; 739941666; 253764574; 666938851; 973986636; 23748639; 962411779; 360033462; 552621249; 18595812; 784399321; 273617586; 809247218; 64204873; 324622318; 845163469; 161494491; 609321880; 930434159; 76759594; 993926631; 970464960; 277299552; 643489078; 172615413; 48775688; 250118529; 132987074; 300940795; 844978537; 210856472; 763068152; 582996834; 869758704; 376568278; 479688411; 547496618; 665518802; 356726800; 327727907; 659765929; 2029785; 758283244; 706510360; 758379690; 616154705; 149235997; 513114784; 889966778; 379639680; 926238919; 484645628; 670675406; 529704705; 774782951; 964744380; 188849972; 60575375; 490126840; 537279510; 663148738; 149735413; 724831019; 331535126; 672990817; 950781634; 759222357; 525764563; 169769276; 509285114; 765449167; 314211041; 718838904; 913969050; 494116362; 691130555; 321550074; 945938054; 748582182; 443682829; 623689884; 755313340; 21360135; 41429208; 385731778; 338420922; 580810768; 264377939; 229467291; 211232914; 189100853; 247092129; 713007500; 585025406; 860002389; 930615396; 923734627; 649783886; 910443228; 558553237; 617411944; 116267811; 311866208; 24546636; 436670695; 65636298; 795143474; 658584852; 491885659; 293394219; 727727581; 870285845; 278915864; 268605831; 37571457; 462083964; 852296455; 887197094; 193495693; 469518771; 933340458; 430706535; 477110114; 721549524; 663014381; 504150067; 537127631; 140222264; 509899521; 419634345; 192941772; 219457847; 284302207; 343699027; 448769754; 614027384; 173163652; 767220256; 831544556; 157970756; 364286611; 142146433; 840047777; 14427812; 646002346; 285834822; 184094831; 766736701; 272791729; 810705803; 378452386; 222649938; 710718341; 986112926; 140321004; 537238975; 504336669; 72847476; 109427532; 846334207; 224810003; 957171669; 804443442; 805229114; 891596815; 696977696; 661493364; 13384778; 570025428; 854567683; 731473367; 55928216; 851151867; 424536364; 602075818; 306584352; 963960675; 808040872; 12490266; 279230478; 453947682; 694674583; 11063580; 680823863; 908976343; 320518728; 923916749; 510011909; 902201008; 749404354; 221573102; 382719190; 83851702; 597874906; 247560720; 658936094; 929569620; 654357797; 418009583; 35680164; 112415477; 523126018; 757982355; 889125076; 970591172; 617168466; 270086742; 816911764; 236912382; 286675919; 945961509; 427224024; 637046; 103576112; 474757585; 509841607; 208946773; 106296307; 945650717; 660477017; 408374865; 347742958; 395510259; 718541505; 889880386; 357725889; 559788706; 367677895; 281732207; 913245579; 861918319; 874819081; 411115758; 423755800; 393544376; 389675648; 532920437; 135631617; 241422292; 998049972; 133844875; 61417756; 409438423; 495655286; 303660893; 752018986; 474923059; 527048704; 8971310; 151306942; 383156107; 361989352; 647656738; 670283352; 611275336; 284965676; 422318172; 321078729; 379045395; 718506565; 906703071; 231441169; 944658162; 394898853; 162092555; 141648609; 725442738; 95147900; 14752664; 745054936; 479121754; 144728882; 767842091; 659533039; 592325330; 635489370; 203016479; 848652963; 517692353; 998398584; 180313171; 893167716; 795723006; 377234247; 437714679; 374742002; 749130904; 665317784; 231864254; 548103274; 786989651; 669334145; 435511449; 361544391; 138729962; 831001299; 713358479; 458845172; 336730110; 560956719; 4368137; 944888759; 879312629; 754979861; 560683455; 107737458; 38786378; 413544315; 362926480; 901049425; 230574760; 664479294; 45744646; 237468601; 441054150; 972248305; 91543086; 11927; 552522826; 578742482; 92400332; 890317396; 79139378; 833181305; 848684788; 818702263; 925299194; 542232153; 993497169; 536860117; 164347090; 895539723; 215431099; 485733081; 159321500; 134036926; 98710710; 597903204; 665605068; 306277888; 353742050; 207944063; 695589741; 973741448; 533154305; 151258960; 900628860; 519847076; 896791159; 269134433; 838952902; 98276589; 530614856; 304664973; 142611287; 329634222; 281685474; 334723767; 567570130; 17559916; 796604144; 387613465; 637653640; 134530189; 279975254; 39569695; 195597991; 192090521; 56790537; 238930389; 968029461; 488129092; 721973771; 29851019; 337401033; 701116115; 880185188; 227479655; 188598375; 117416485; 708333230; 642618056; 591262259; 43558589; 767834111; 890553272; 272987324; 626641231; 399423798; 826794141; 612766293; 743317575; 479652327; 800353248; 873638524; 169744882; 58397258; 272493710; 138601237; 386222516; 646534027; 377734159; 423388558; 656827639; 145186265; 522464209; 188313164; 373205213; 46148603; 896566323; 812558171; 744546532; 839844492; 611463497; 477211938; 518459775; 741860713; 979168240; 975551666; 770570007; 830085493; 261135974; 632441934; 891740875; 939468974; 477488721; 372977196; 361733315; 720997488; 966537899; 381437790; 568443198; 236180626; 677093096; 132176825; 823893213; 818629392; 266410941; 272962160; 806068499; 401563012; 415651999; 115405728; 560008132; 227045755; 876128066; 14738356; 835495550; 297824662; 487310989; 765296184; 518440698; 179222182; 990697711; 21410854; 480755417; 865375019; 983256748; 365575950; 946130114; 479012649; 582265172; 463727373; 563726294; 650900170; 99186949; 268162793; 496167357; 830133919; 749724257; 882643362; 21283316; 689045735; 510948863; 137551922; 549156927; 980421183; 427016897; 276179971; 195704352; 979919690; 962218664; 742920496; 26743542; 922518693; 574189925; 873946758; 526132876; 497233054; 217613592; 935662050; 428452335; 270179849; 903320767; 759343266; 524727516; 288840428; 631419482; 283649508; 85522081; 770253355; 89057574; 174975710; 957861275; 850704683; 679973727; 258227489; 999315495; 105533171; 525425290; 879511583; 922069239; 843736750; 398838206; 828429713; 98775569; 452716714; 35842050; 118029577; 973168766; 141005198; 737720969; 939599661; 622831654; 78291869; 236606447; 990301563; 220906085; 273731621; 725960930; 241498981; 537978299; 619887838; 105230345; 937665486; 596251955; 381137824; 374890135; 891959301; 118844865; 273793483; 172840757; 111855393; 79270840; 542217030; 21733198; 433628153; 293645949; 858496617; 976721846; 361560207; 934837590; 756481231; 631038316; 803358065; 677914072; 457374031; 920900106; 176628335; 805423954; 432223663; 610579950; 459363790; 605550436; 784606393; 153097890; 725010502; 118745250; 909204593; 892850587; 80909589; 788748960; 415640914; 281166572; 382928017; 306153084; 413867579; 433358556; 593781530; 106523606; 489749905; 62200336; 501634061; 32364715; 96305290; 407363922; 461844301; 142271701; 870231731; 365516500; 24106864; 479674890; 905757297; 568489860; 755565484; 922835009; 266127445; 631288273; 570580524; 238913433; 575872979; 639576047; 54026938; 477460212; 129356508; 355469111; 919597606; 56660258; 258099899; 355705461; 702234024; 809831991; 797922542; 641834118; 709930230; 679749666; 563187909; 274357853; 855256434; 546511463; 797547933; 94924700; 490769508; 468297469; 899795600; 810395809; 784737022; 175256197; 247777336; 752408599; 302749753; 105549169; 140309362; 471785137; 320527529; 715787741; 943261856; 716798875; 779523081; 624476641; 942756131; 864634391; 905830966; 910047443; 881134643; 902175733; 744276511; 974942756; 826825703; 283586679; 41294761; 689916880; 767271409; 411808650; 484714520; 702280061; 630482722; 787267134; 735140545; 994705068; 636697958; 777711061; 821860466; 221440957; 46675500; 378607586; 740831369; 219616098; 695696308; 275718862; 251860664; 787403788; 926337216; 529240834; 361006608; 161256348; 947255357; 210156916; 531048685; 280602120; 85631293; 164332609; 491671827; 32584425; 457400557; 273801837; 54832978; 228444713; 490702953; 884897604; 481442817; 790589987; 986151172; 595941468; 141185314; 681897187; 584701437; 296381142; 200167402; 369732872; 447500322; 831136961; 924203439; 402286836; 744426551; 191990823; 238029315; 587597082; 166424913; 502165943; 738094722; 84361831; 431658411; 843290875; 109739232; 339509208; 755908494; 736758789; 939177160; 746811418; 184439385; 677729302; 735249405; 983287925; 455589581; 28721371; 934716939; 809160027; 178684201; 591569359; 72227774; 414086582; 672950844; 590618498; 915333485; 143785652; 281872314; 508744919; 930789719; 551429932; 992785643; 57182443; 382013811; 826542080; 153570096; 101322950; 463491442; 718728628; 976692064; 453849533; 806815613; 965177438; 322593593; 575155798; 245006630; 988361576; 459273387; 913109262; 599389137; 773333106; 984935937; 284959568; 257682124; 720778014; 38212218; 455404066; 77517455; 744545743; 217961975; 947759546; 744460523; 957255302; 35695703; 826125774; 88671210; 533635593; 718950876; 895066446; 365630843; 905086148; 628935763; 4631107; 647133016; 140279867; 31952915; 264411825; 769066519; 298317953; 886131983; 946090751; 568643297; 500057392; 554107893; 502484857; 799154132; 475590910; 82339673; 147599839; 447078165; 276319535; 801569245; 771273750; 825089630; 164387885; 284232865; 339873039; 815802189; 925203957; 107839803; 842972266; 626848857; 293384103; 170658954; 593560565; 353484347; 135454013; 734844015; 556675567; 384590032; 221920401; 245837901; 606001590; 32304982; 234876638; 739567046; 28796140; 834155212; 531177594; 872913733; 437744482; 279928302; 165450163; 639408910; 35608146; 997548215; 822992300; 906783002; 558471464; 289885174; 986492372; 993999323; 790148532; 335371663; 683112017; 375342730; 802987386; 954969560; 350781591; 158455790; 624939618; 550533706; 239558631; 120479582; 153120967; 928841128; 31954369; 997946090; 64557780; 940553446; 147395378; 273092044; 110108893; 887274585; 419526106; 674550421; 988907203; 976738315; 15031637; 533422278; 225339961; 606734768; 838292; 8660567; 822371356; 85011495; 263607445; 931264064; 730494340; 582107241; 926294136; 283950553; 88636685; 149844030; 550563657; 588521614; 413953351; 632069071; 702492888; 734806333; 107605117; 904969311; 568794282; 4342232; 627356903; 960697756; 504958458; 972786116; 953489566; 97994974; 371140059; 908011844; 446535636; 580419653; 208162617; 58426075; 799776526; 275862432; 405959509; 204158122; 24193359; 735541836; 361255965; 772309028; 251125455; 645555606; 806725182; 440357926; 462242447; 620204381; 696114010; 771134103; 439416988; 449259325; 996392481; 426875698; 989529152; 984609019; 225039737; 450070620; 541349373; 146660517; 560948528; 202193006; 605504965; 433570311; 981219733; 463067182; 414406799; 402496840; 197525727; 845470448; 960215043; 976013632; 347749221; 7832615; 888514034; 401355236; 71454391; 379242118; 58575076; 494293981; 163490396; 420166645; 28840099; 584303209; 908413879; 930804402; 813237151; 709635930; 518085426; 341272518; 727011117; 620086647; 926981555; 548132283; 997495448; 430167469; 529746461; 194841680; 553921192; 148491427; 304485892; 403853084; 751994342; 789432055; 539433698; 774391191; 526910052; 499936311; 589724811; 562451765; 716055892; 400121793; 876909716; 638612597; 738496090; 658232748; 709044964; 584394734; 73445006; 62695237; 481908379; 67915421; 966326092; 518678795; 197502391; 972317565; 769930308; 479686415; 131961243; 634577713; 74944669; 661121529; 564742788; 628032639; 8904632; 950950116; 924355063; 135148278; 29517632; 742368081; 733238486; 949205280; 839777220; 361603062; 332499204; 890597028; 644942321; 186511327; 654239807; 301589696; 509894179; 600119589; 357887841; 789663226; 375779707; 940336648; 22717935; 525564071; 612772175; 923468565; 453823195; 61052342; 315597986; 299283037; 9588177; 967004897; 100724143; 583510676; 104058218; 645094791; 752058765; 818969302; 870568131; 87979016; 37320146; 247706437; 264964380; 123931146; 499878442; 856473128; 211628087; 762335758; 804609066; 688599383; 566343777; 285094767; 903412305; 163629874; 874357948; 612730832; 713006780; 194899794; 686172279; 809603289; 396042314; 940149556; 929146400; 728282788; 197685596; 806180509; 503921665; 156132379; 737718307; 686309526; 856083804; 311859508; 203224394; 614838037; 112704401; 212395402; 291670413; 762519510; 609064416; 232025685; 28982905; 593623368; 433774842; 673624994; 998207184; 360364804; 133100159; 458200314; 126175741; 836562602; 822676436; 476191260; 839373264; 538697934; 32271369; 663932491; 988882973; 934882796; 55707082; 29885845; 982593833; 476307175; 282664770; 342968039; 908898870; 646072495; 321673798; 859096147; 864121111; 444009687; 709924967; 380140635; 220035711; 251547890; 103058070; 612221614; 899254297; 216218105; 918045501; 232398178; 216318640; 259257735; 724184883; 126872081; 755438899; 364078417; 986454146; 169649200; 11241696; 530207972; 39419559; 550851254; 49610127; 765830459; 17365399; 966894136; 161264924; 208892264; 535734633; 930463030; 752474668; 476102423; 150578552; 870797888; 892963753; 494536397; 129337377; 650153735; 435281475; 716848874; 242533770; 616472135; 340768870; 777185537; 485621659; 450798339; 642773810; 586556003; 435187390; 448133307; 202057119; 627338570; 788464786; 660911126; 241179721; 297345032; 938059564; 133678444; 837850730; 164118144; 155616792; 635837539; 659202165; 201039770; 74183794; 814678137; 678338020; 488925612; 792253184; 509054358; 650280058; 636269820; 699204243; 358442280; 92663399; 174277328; 55964400; 568069744; 54532530; 526215913; 527507133; 361907885; 25560523; 800853600; 616386763; 51802162; 600533093; 185689471; 660796145; 263177782; 989485795; 943753929; 174884373; 853070846; 396050245; 269056211; 182411750; 320438005; 652592676; 232076869; 226803802; 892368227; 655156263; 921823635; 887406869; 106221200; 822866770; 745946743; 586568401; 400702181; 70664067; 306327330; 973490363; 454727195; 116661139; 319602627; 107133411; 223420591; 260074421; 335187437; 410657122; 590807435; 151356429; 335564854; 690971465; 977455332; 73443699; 395063604; 797822868; 823850535; 926897372; 454045327; 367602742; 842691637; 6094501; 496135319; 109827638; 127216858; 611273753; 128077707; 239136647; 198369220; 94049803; 63956317; 625949814; 313960696; 172624382; 946037105; 445386803; 39185309; 286074028; 601948763; 306252981; 936712260; 280413824; 359082366; 148415062; 287722630; 386436693; 185305015; 384084794; 537579327; 781891466; 228850146; 353907264; 444627385; 776259435; 571949879; 318934377; 548926459; 292248020; 354321504; 15025208; 350770579; 243669233; 137468510; 169496390; 475876027; 278263915; 179809805; 159326409; 262224615; 484326558; 310899452; 516789285; 512446664; 341216767; 768210809; 295798785; 816363071; 283596364; 407013625; 282918575; 411874786; 695389639; 727522877; 622653103; 418049736; 366073728; 105309032; 282585850; 857220055; 678747716; 664803151; 175238497; 798076282; 443252581; 706613184; 178336988; 355955994; 912819946; 330893901; 186695774; 879662438; 937969145; 528581474; 598025984; 63056396; 559880910; 243889138; 808496698; 665968599; 23602464; 118351448; 641554690; 927351532; 427990498; 740834412; 135653792; 359321807; 432450187; 302988759; 820572299; 731572669; 854985956; 813038127; 355932578; 644922842; 377170534; 334636176; 435934834; 391163344; 763582739; 100108695; 167272603; 941428058; 549382591; 565480692; 954997232; 290493739; 854313133; 589888192; 577092180; 701713645; 551622774; 266556521; 424320387; 737856411; 183937786; 540994566; 677102985; 696045708; 274992004; 688481558; 292403564; 20817796; 77686097; 552486375; 358370582; 548139279; 26891279; 102735319; 817974352; 208343405; 467546689; 812313038; 409678333; 514209002; 481617201; 99484323; 818351839; 657703414; 285990300; 536802194; 814125697; 25429512; 862838178; 577219675; 975611117; 472465628; 152949436; 752580535; 908756264; 189675796; 423913093; 174480635; 949538032; 894073807; 656476663; 876561512; 767969539; 799999878; 619316141; 849936921; 276401452; 74564172; 97968155; 702759854; 901552618; 752103650; 78997552; 923052854; 61550013; 194937251; 514569591; 906164829; 880767846; 919269943; 989507659; 931462348; 689403757; 975302133; 421596376; 622306600; 644570566; 600326262; 954062444; 844995687; 380935345; 763663687; 463236632; 91950038; 270485434; 355159312; 694510925; 173513212; 383038458; 308038774; 71857651; 746093738; 271123068; 125039933; 727919384; 857405992; 676624943; 729715367; 298923256; 503245401; 521464834; 400282037; 192989248; 767425172; 449371642; 828493532; 738721465; 646086209; 583945617; 470541828; 597215719; 320013899; 285351193; 126369676; 426225922; 45893792; 881946063; 858284074; 890016645; 22425984; 341468163; 179545350; 908039901; 670198643; 559861036; 870893816; 824453936; 906192115; 157837427; 498863265; 104357862; 825126819; 426123638; 829706128; 515743643; 617959154; 166335254; 558903599; 238655931; 471321087; 103281598; 758059999; 327260517; 556525134; 326304615; 744759426; 462497538; 896184216; 42065996; 80214749; 680579904; 298538394; 266837708; 418368483; 264243682; 872532335; 735272507; 824496959; 627504783; 996853368; 895787704; 232548927; 548977925; 98373025; 928220986; 271290140; 978614153; 381355383; 909760910; 635209421; 787171490; 782129049; 431260181; 479925113; 520099036; 465668665; 613794658; 534031413; 952029124; 893528156; 330614951; 682217401; 954870478; 945262577; 17914692; 328027219; 505523406; 312145825; 956090326; 213403197; 472284357; 833029612; 820966572; 609327461; 860401113; 652578122; 569016493; 242277877; 134957207; 798014697; 628606534; 588275361; 929598381; 406707886; 536645119; 502871531; 886687973; 571238957; 396553443; 410551303; 373585812; 40467733; 660503036; 373469199; 883156138; 24444696; 14343521; 32731802; 194379054; 629748943; 631234281; 350407986; 124573214; 746158369; 95855683; 164761226; 872106048; 927695689; 450565314; 750192619; 838536312; 16399434; 926064518; 533133472; 784139213; 328037426; 355030143; 835047383; 822033296; 249863789; 697521467; 785210219; 16782726; 443575687; 65725778; 748115742; 958261896; 314628946; 119843165; 449055586; 206738301; 961719088; 124823040; 465864915; 140080928; 354608092; 338490898; 902427822; 588435035; 629579245; 204450611; 357738700; 312280529; 598709147; 821763540; 516254241; 989428455; 641067861; 532055610; 957692474; 746907724; 960800271; 149025734; 79619970; 924938494; 6730276; 723325275; 419967768; 962827997; 435367316; 376458383; 686777476; 595319800; 528613235; 942932089; 417025485; 61866611; 339876359; 768344221; 199957588; 832797919; 719885484; 832678617; 859615839; 609494910; 689404800; 918581932; 148958446; 696048031; 433420478; 954899226; 470488776; 79101227; 541655506; 356188394; 752671826; 655082094; 65769158; 15549514; 381577046; 507178852; 18901887; 830397375; 923111106; 706380208; 762098988; 205027270; 795223516; 623590896; 415965904; 203413196; 258338311; 936215215; 549121621; 602700223; 160685991; 448119073; 933255086; 836436681; 196594539; 124916436; 551720534; 893830769; 486315031; 367203418; 929807419; 928153592; 451056222; 957929040; 574162765; 236804866; 261826425; 644798192; 929970819; 151919666; 611792348; 851130159; 868810581; 499177939; 301241173; 812959570; 595201383; 62592181; 763677515; 209496944; 548633307; 869421463; 741097334; 525546018; 101297920; 235267808; 524839331; 421506225; 549119334; 470272642; 489472945; 697697418; 939552693; 328638934; 225102798; 645710536; 387539296; 243847021; 471519735; 374543436; 35943049; 11194791; 374325968; 118587236; 435320895; 171940171; 644643891; 572561370; 461259663; 643449093; 783573435; 209880031; 278289854; 188972882; 458965611; 686699526; 606712019; 789626625; 909735396; 132999253; 995779846; 483356458; 321006989; 274954582; 147578193; 489817116; 128493388; 958994414; 865281307; 40236474; 771436149; 684767681; 39067491; 883756780; 743393616; 849346971; 928692182; 249200140; 396319169; 70168429; 60445216; 109712197; 554147430; 988267550; 414923331; 939376894; 36157983; 483782246; 338022201; 546066413; 313167505; 622555624; 261062178; 973213072; 327312500; 56201777; 838640798; 27256065; 116789882; 922135658; 167116290; 585525370; 409834532; 180671629; 941929440; 194029881; 981348536; 470168818; 169049639; 949248555; 803182918; 554312037; 550067259; 962226158; 881521878; 514454254; 15255960; 492611715; 208026466; 504479369; 553681771; 981391614; 70850243; 253962440; 413036223; 227234892; 318405782; 294871312; 5094009; 377157778; 339098422; 32377339; 555624420; 192285486; 777354708; 276864234; 8651590; 209653074; 498673805; 497156124; 429144614; 802648006; 326138982; 531922725; 323562457; 906741401; 302269423; 921077832; 788858278; 492613703; 829187309; 968449474; 193186826; 748608301; 612511521; 760387975; 999159174; 450460171; 143902818; 507301652; 199306022; 857867198; 26043779; 168930178; 181048493; 992346597; 281012009; 771569052; 655431543; 106670504; 267060691; 169523044; 360461580; 666550409; 424722584; 819169889; 541012736; 709466377; 192409521; 230354518; 392104663; 519401720; 140113606; 409225640; 577178657; 740928336; 501387159; 376373984; 948366015; 366078451; 784466729; 423931329; 111234821; 219217298; 442017735; 133691805; 675673342; 252318313; 179745972; 647717759; 408068442; 358781164; 648649975; 355981891; 172126140; 713004331; 175330501; 933828881; 22735789; 820420542; 314322736; 752289981; 641534257; 546088561; 424456971; 120781032; 947976700; 558906522; 999428364; 371937091; 357629777; 377122899; 868448179; 61434205; 374286420; 478270702; 512729462; 31705283; 963013678; 168588829; 285363403; 13053810; 71927829; 121180713; 121620039; 68730610; 988623163; 237510432; 19688737; 454995240; 457403883; 469207434; 935985351; 187013479; 351740068; 461254745; 221929577; 735786757; 714822057; 968471472; 663575475; 845627953; 934031625; 756944584; 816043547; 804913447; 528122377; 385951944; 690741363; 34184887; 633960331; 839778496; 319951885; 526192181; 34034976; 141202508; 832197737; 156088688; 951810415; 94751249; 968730466; 920352279; 451360918; 662936542; 263804611; 977554912; 736693519; 64820343; 789725966; 7527990; 160139329; 701796456; 857205580; 93692880; 152023705; 391784388; 82448441; 679325593; 598715486; 302540995; 295324435; 781210339; 913820301; 596312402; 797617039; 773831676; 181761495; 215346836; 39585869; 331582982; 670453167; 206330460; 455123197; 670199697; 850530762; 85663600; 299042447; 898195524; 334340242; 493585836; 400608547; 345300840; 656556222; 156928545; 84999832; 320527436; 906368981; 591944920; 763613707; 853434713; 979567972; 428763138; 813144647; 607316218; 655480494; 137983575; 51458205; 890057688; 342175191; 123265745; 703257766; 907612371; 816522445; 296210123; 591445418; 561204915; 90754866; 582337724; 520087789; 578100215; 251247209; 329640413; 86480908; 792609633; 304709024; 47505186; 960228053; 554192028; 987559207; 692564399; 757361052; 199885868; 321794513; 978067179; 521803938; 741156864; 606172754; 620743038; 553046788; 18997327; 389548889; 44906582; 282797353; 517524849; 546995292; 485445179; 242554365; 401011110; 704796703; 761146593; 735868278; 157914180; 289676715; 945517992; 173377977; 855993964; 662793810; 699407766; 412292421; 128437859; 985297569; 531886083; 236280385; 559064456; 835172486; 233110169; 3708506; 765033976; 967125697; 353730643; 857201067; 792339690; 595433695; 818580559; 96128863; 119532653; 190202692; 550829687; 360468632; 627595048; 796613824; 62161591; 895655258; 778500701; 935187448; 945284864; 917181945; 377995330; 452237408; 534523926; 612310511; 425367337; 102875129; 51875025; 813890505; 556517589; 840068639; 544480794; 893190121; 416775537; 175848771; 31188513; 573104595; 61460804; 75470072; 465562719; 709677039; 48424949; 521719482; 365482480; 671310905; 388040490; 601766641; 602873061; 853429919; 213056060; 526450032; 963774318; 583723779; 896845796; 2269049; 252468999; 144076620; 678410678; 429667684; 469972896; 314235413; 117357464; 964406724; 254263986; 724167753; 965154224; 259232339; 335530799; 240500950; 392807355; 862896669; 549600586; 206682987; 339563802; 86719201; 347106601; 265058247; 770750247; 668404506; 1302834; 710146653; 463091504; 338785345; 552942903; 531649421; 947205023; 837917477; 935524784; 51369298; 175900171; 243320090; 53906707; 103064926; 585917522; 405534173; 537747202; 351131740; 736135647; 523314813; 448684839; 661002186; 606738893; 289777473; 363638512; 727942886; 291995589; 339441712; 939169892; 14766695; 11538415; 893724060; 746605776; 560248052; 292420216; 341935251; 273958093; 347480008; 988157651; 456946966; 772191256; 938037438; 107434455; 59264509; 1412577; 366958711; 119048317; 543093730; 455692189; 942297579; 378571216; 578364541; 539712166; 130481846; 589516871; 73946440; 433026240; 378896190; 487776439; 300665697; 937953080; 342333569; 594760321; 745349413; 492076070; 445053551; 167296825; 407201005; 852217234; 910928006; 824523780; 503987484; 928901826; 443999300; 600687159; 603592115; 872093260; 97716006; 623758232; 857600726; 782047047; 299033898; 397439298; 76523667; 700666028; 698102902; 306239488; 365035878; 998365535; 829140590; 776072265; 165997176; 815797309; 373169059; 203006103; 546637349; 326515286; 201641629; 883563390; 101255312; 785615572; 62157233; 425914784; 201084312; 338754009; 423605622; 737469188; 49096139; 508873041; 89550379; 64057218; 287633385; 608782147; 908354699; 900226239; 283012632; 818002079; 577695851; 738819514; 380768743; 889426305; 113312602; 183462870; 990091472; 318736220; 336120134; 700419549; 973448103; 665925106; 331763740; 809133672; 241614740; 788458132; 324680122; 678919336; 145094424; 141976011; 279869582; 935195597; 552329571; 798464396; 816386821; 638770925; 446865613; 655054562; 478009436; 479889820; 319574280; 780900242; 623210025; 935309130; 495489452; 787431851; 951965550; 655754496; 477580840; 580269070; 707325191; 725858698; 465427862; 702275427; 792697225; 108327737; 289220038; 178107251; 54092192; 798802845; 300811173; 206002245; 529673902; 766676481; 168911559; 90566062; 175342467; 498003489; 401350015; 133560733; 834512606; 158521994; 21521843; 542315922; 64013406; 620233383; 90866410; 118143683; 494305119; 838416744; 69657109; 145682026; 968769286; 659532096; 472082115; 587277305; 886494973; 846144339; 794033486; 606209853; 749218231; 513147722; 346672921; 245394218; 145207274; 334956082; 703282032; 35958445; 939978533; 475240302; 244118342; 355189224; 173712017; 814732270; 272392005; 182199750; 345850727; 573307790; 561584501; 748824517; 727964513; 97351620; 728162551; 668184771; 618383624; 794601287; 988925042; 830211680; 67538047; 505691619; 769572284; 739993950; 5454470; 323443370; 724080686; 78919114; 230105437; 542527526; 687977992; 234206836; 406194093; 231072487; 684190202; 549368485; 903346305; 470882842; 592303633; 33814667; 924268184; 337904102; 237070675; 485621425; 415923114; 324166410; 94979200; 949318106; 825580051; 142871654; 312215101; 10304307; 196535439; 787207220; 33970901; 849007875; 719730762; 601372916; 335705646; 873579088; 96474664; 216434804; 91297251; 338386842; 723880361; 673075959; 999421373; 576754794; 21029531; 566644208; 556352230; 547441190; 273298476; 647156109; 822198117; 236022289; 262383570; 69381420; 925418353; 290039063; 934824645; 149203821; 861917893; 435766839; 461484261; 298969804; 118964298; 609262461; 445988105; 841111434; 944061356; 136761534; 758254115; 874830416; 259520996; 572434377; 80237153; 137613057; 508661901; 596906063; 288625518; 852455550; 585185988; 318639366; 38618940; 495758611; 771051908; 986565100; 494743622; 402641661; 529729126; 980119887; 175297976; 681283390; 992055996; 694320940; 682603420; 468332395; 572895670; 130755835; 385177459; 980326328; 545491748; 697432787; 389391314; 853617496; 591687230; 730559996; 515352452; 339358372; 181876507; 873639601; 685458095; 60378683; 151716532; 804031254; 929296874; 805861511; 634521568; 376184587; 441480147; 233189354; 330937499; 238075567; 582375507; 63634045; 435396649; 642305663; 746292732; 812880526; 81243520; 859121868; 281838235; 561978072; 574985577; 39521568; 319019055; 79721561; 714788452; 602736952; 916737450; 288560714; 74913038; 383163458; 20619999; 494337542; 907710667; 225903719; 784253078; 204503260; 776853189; 893678739; 809504488; 826087543; 266742820; 320940660; 472065965; 632641423; 379172935; 925472029; 621307016; 642479569; 631672797; 105009695; 342843046; 3657261; 674843539; 778115923; 768009317; 710430408; 476297389; 709148378; 670953081; 392487760; 456112714; 984914467; 410041816; 773307486; 184207706; 508308726; 81872751; 953170244; 252569377; 906779193; 261654788; 537703084; 480666618; 945807470; 836237623; 437006516; 15052906; 369133355; 926442180; 838220221; 592067183; 832239613; 412803475; 120355233; 825762129; 917783535; 607410638; 474638640; 88617320; 976052548; 490649132; 141110987; 572712600; 215653652; 57617493; 172646307; 128766755; 787593049; 39609334; 451789129; 967692130; 762643792; 641657192; 821596331; 564980981; 999217600; 771165193; 849349519; 813308134; 171516977; 765259346; 659792232; 63375530; 800599387; 142169528; 638264627; 418387494; 243674477; 42334750; 505013259; 504772946; 286817315; 40223755; 983991858; 533512389; 829843367; 334141387; 307096248; 603687225; 685119941; 413792952; 728140537; 679749184; 862367694; 159816315; 778060195; 519535952; 901534093; 598724129; 522379160; 743454577; 446691266; 871478715; 629243115; 105753523; 974983961; 174407029; 941724876; 335202142; 797333148; 935132209; 390999439; 45867411; 888839692; 167250547; 496418167; 775531055; 950093449; 39277141; 340009971; 783579683; 654302854; 906986237; 995807077; 623788955; 144014188; 201834783; 596453959; 806412645; 765730179; 261084986; 861304315; 848950676; 324892812; 224099933; 215095843; 304551796; 159744427; 552955473; 910694406; 891591884; 132749487; 496607857; 593163343; 960716923; 969355375; 893994172; 219044883; 99039714; 433568248; 585378588; 672398866; 638912695; 343812858; 293722892; 649047214; 897496735; 416848980; 942222214; 452385489; 960896243; 346160497; 932327570; 99531099; 578733304; 452940817; 225013567; 269941509; 583783852; 317824248; 314955605; 676232120; 605363914; 167500525; 957236163; 656952502; 717337601; 905618038; 644335463; 198336793; 403716423; 767194663; 683630389; 710002945; 393330327; 113356052; 634682377; 221141422; 105733829; 333223050; 644208839; 316758182; 942132587; 666393027; 477754373; 680030421; 918273517; 213745713; 585920670; 576406784; 414217584; 770544890; 411402260; 697882424; 923080893; 214070769; 329659785; 8600408; 34841030; 5227776; 750130888; 211024655; 22839326; 287987524; 67294957; 70697461; 872715679; 495961757; 946239955; 951110700; 635692265; 638733275; 523034547; 270170060; 176176685; 464868997; 207747432; 384114607; 213360192; 981343103; 989411978; 233422641; 52743857; 266265581; 882385364; 373901795; 442754959; 712637475; 942717089; 436979741; 119973885; 518232031; 361787235; 865114612; 669324901; 722184178; 449407700; 926770376; 239135421; 646863344; 647424430; 199929780; 630678664; 730753813; 669606316; 941728093; 289220509; 961730804; 221118303; 191606279; 540519488; 911549861; 651201851; 248220506; 592002144; 700251091; 676149078; 765059241; 447163597; 698128332; 441675287; 524887240; 362660747; 818686551; 311135748; 572118866; 50348120; 375027109; 129060903; 188204331; 401495535; 548402737; 597909772; 154738593; 501978247; 75497922; 531125509; 522424763; 387120410; 80991319; 145992817; 414911864; 908415508; 604818991; 671971133; 257887476; 580614800; 256081929; 465767796; 336666592; 619264450; 978377566; 331410846; 776757454; 112378559; 353723463; 537086039; 340475233; 426551119; 870871743; 792042357; 446693688; 699308152; 397090404; 917368509; 123244638; 709271821; 31317846; 778768114; 193436130; 319754581; 688152158; 42907572; 276374555; 684901691; 599749199; 198999352; 643635748; 905971109; 497426910; 541316160; 423172950; 382308075; 472653752; 401270869; 263917611; 108112938; 116119988; 92030357; 448961697; 475933273; 635576191; 706529205; 913815188; 97026737; 298105391; 200630330; 563974127; 665894228; 771789930; 335189091; 932675460; 245109190; 954144590; 111764029; 87259038; 927270956; 577332967; 961293261; 877446777; 221786662; 995889637; 103046914; 13374837; 9951030; 78193920; 222070476; 788706335; 998681924; 991560456; 236265923; 87801365; 988850730; 931459995; 355482124; 718476829; 266259213; 756577433; 465105046; 359645455; 7659797; 535226398; 334631435; 108721311; 177128296; 144683452; 5605871; 897872379; 309475626; 886083578; 614884048; 574891095; 930870716; 497803592; 665001558; 598008696; 871707146; 404867185; 719113143; 394559664; 855735751; 476335461; 443167010; 808904222; 771331144; 336600897; 354682543; 139017524; 526638542; 388088256; 931166137; 671239029; 314680981; 789009685; 882633555; 443120402; 418636548; 575602291; 376119951; 147359313; 524979928; 585843505; 979484570; 173995122; 411490488; 381434216; 996802045; 324286182; 56114924; 156392706; 236585398; 387106833; 627964805; 89776524; 222703108; 576013674; 427946340; 571834139; 640990276; 20479070; 287393434; 263630620; 443073543; 267257563; 930163418; 207263299; 88584343; 933860925; 164594583; 655490408; 779857460; 35422972; 545424208; 411077519; 730079621; 602406179; 633752343; 100392185; 790381015; 781077979; 388130139; 899292607; 246679037; 463359007; 168183311; 343019612; 251038146; 401698784; 954485658; 468434864; 937246231; 368753760; 622357520; 123194228; 306226315; 204593728; 920651185; 511561748; 429885517; 621160493; 160451437; 550463504; 418186155; 372071083; 260248888; 5494280; 95451107; 665254658; 569771685; 169082994; 627733508; 703560845; 558644009; 124999435; 685806424; 944595738; 300114459; 439703411; 383200646; 30560137; 188832866; 477974859; 248477500; 611107312; 163782526; 71611869; 411667841; 138824377; 513343085; 342433968; 439895397; 449459063; 595597073; 780612645; 138528734; 647465383; 500714889; 283807455; 593745869; 652790020; 503244154; 935605403; 105152606; 355177408; 684886492; 58578783; 309323166; 261004854; 642381128; 229195082; 717289808; 120409039; 349882190; 507555872; 319327843; 150760517; 331732418; 421111333; 895742259; 207763607; 824576537; 915937807; 739597646; 44938763; 696800601; 508095499; 901773323; 329665174; 867025050; 270870520; 943381448; 568187532; 571639427; 537051746; 187223660; 333340328; 203234869; 401437601; 626020633; 436436405; 854808964; 743153565; 50050625; 344250320; 285765006; 732300026; 516768804; 328406692; 219729883; 495247959; 487924416; 199697640; 691513803; 52206199; 979364501; 769619673; 792627237; 54991797; 934017793; 235944992; 799577557; 164686674; 656185153; 340812523; 897026370; 494043493; 835247913; 937875022; 764137132; 212867171; 593392606; 742822058; 405075918; 330018085; 19012513; 39175933; 922188877; 529876284; 119529634; 132791624; 856769245; 340540352; 551070169; 135096531; 980635837; 92227989; 318592562; 369270415; 176412454; 278590522; 765762163; 225696387; 16098896; 960324187; 800546140; 568803513; 859636975; 633283170; 999868021; 108527470; 321137211; 426868186; 190256050; 763322258; 106246438; 417004030; 766654439; 579528639; 676646021; 44573347; 106571229; 143307583; 843397445; 646972455; 192040006; 956718742; 463540838; 525393499; 314800375; 172227552; 812446416; 934099741; 92992272; 135991901; 697439443; 147634296; 364639915; 336411246; 307510484; 992195291; 208456570; 961672896; 497537435; 727019600; 466568334; 190511341; 242866514; 423102815; 244846636; 686405830; 577200419; 327152894; 716698405; 257164338; 305854396; 532982082; 102169837; 847479456; 1463516; 724595824; 690033865; 155241340; 605278974; 573963099; 185419309; 376672571; 998217133; 864962329; 937607000; 938926840; 342892469; 283953964; 596158941; 621339421; 324625489; 192521687; 50251134; 347195544; 637574060; 858677971; 965471889; 679541469; 867137991; 12231743; 422732257; 563594320; 862820743; 923305171; 336037442; 52363561; 896767714; 981194847; 395607533; 65393263; 910211722; 631015918; 544353662; 477361151; 70094985; 663451520; 359938172; 351997405; 393990740; 540024070; 823558602; 916455075; 208738565; 187613650; 983026112; 406056892; 732907413; 753980017; 398634150; 132919179; 348686279; 853577402; 982612353; 695452351; 601463683; 956914494; 306054210; 946405828; 509141333; 85800210; 707814336; 277990868; 40573923; 851667830; 490123087; 353284481; 300291260; 194215100; 437309786; 434676994; 551322104; 45317912; 8566484; 525501348; 188640616; 944419377; 518031303; 349197502; 375413130; 234859288; 106168944; 561919233; 57050827; 212362707; 903347756; 568335685; 221457297; 893850586; 476598572; 754617776; 747260956; 377009558; 32444232; 510207118; 51232386; 825790409; 986773371; 342103945; 872684265; 341516595; 104055475; 781256631; 510067989; 893538312; 680874835; 330051498; 414194225; 9537288; 625358849; 778782154; 758451953; 818074709; 596366998; 115730375; 928546471; 637163471; 645085995; 502483758; 857842705; 871454449; 549495247; 468390062; 380595794; 56061279; 867729794; 478318160; 907739766; 519953633; 383446543; 349879651; 478309078; 155862074; 50481308; 684306874; 836516087; 244582643; 511488353; 828729109; 174130139; 116051796; 334730746; 468547629; 940740626; 406339184; 264075255; 498566052; 816978621; 931375284; 165321962; 376850347; 202349298; 273374401; 747095341; 317197240; 390756102; 481754064; 679740924; 763207086; 455957681; 96541121; 30895441; 936508598; 613884776; 395756905; 858807495; 825847630; 233792634; 907858246; 648391728; 287537715; 287299385; 256675259; 764798013; 253587483; 64555099; 705438811; 514681865; 287891596; 207584478; 992546403; 828930743; 164338242; 173704530; 922728997; 62696677; 169393577; 67794467; 791400223; 340249134; 992939015; 409132802; 235200548; 696618389; 998390251; 21478345; 268060698; 614248441; 518952245; 76836983; 107110025; 945139664; 867374185; 518434943; 328071955; 317661597; 119817732; 482630315; 830767917; 552557989; 430017755; 176401823; 281607352; 168148672; 164002698; 383747428; 734344972; 11831573; 685005062; 590339725; 381808394; 835804854; 754757989; 572932384; 37348917; 438145139; 29885359; 130512541; 784571007; 603230196; 825323092; 380853543; 774526196; 367188519; 487886529; 316449540; 464412600; 228305629; 542076333; 388725457; 758292653; 906438411; 166142311; 342510148; 573303577; 483226232; 939378657; 371297594; 955270910; 629204003; 445102069; 729959664; 251459111; 11390805; 849389094; 577203722; 200356904; 49847588; 4660955; 316379197; 940365548; 207241759; 956242498; 118746087; 967756565; 599567019; 35737964; 488504269; 680551297; 88226899; 422932269; 149264479; 638866420; 926451147; 84190583; 472774837; 794746507; 996187962; 301578632; 12322883; 176853066; 397802237; 637477921; 853846808; 909801890; 495589689; 106404951; 594550643; 516377894; 104601394; 383484810; 239261252; 908652911; 388296339; 130575885; 150016599; 968577081; 784335442; 511700456; 140807577; 756983509; 106869192; 727830224; 522178760; 383845795; 705641930; 782330882; 585255942; 711360056; 452757102; 70007627; 103237576; 133521689; 877409364; 260384557; 220663215; 404991986; 401292750; 704775188; 565690084; 453222842; 838699590; 919739834; 388838909; 412854860; 682260286; 912216964; 671401135; 249114555; 75308912; 823548990; 64464154; 622606058; 424297936; 652961301; 816966743; 49671577; 375040470; 728236001; 348776007; 300192796; 403150955; 934496527; 719715101; 240285357; 840516745; 987019640; 8993223; 227616323; 793455557; 874570293; 448034759; 586233370; 969071200; 690872480; 697307806; 194851897; 117083801; 234123297; 697694032; 751766756; 654990531; 236255227; 587449596; 482946765; 539420237; 532777052; 727465759; 921233759; 635783396; 531148478; 506626906; 306002554; 115400598; 60727943; 568268633; 201926561; 130100084; 104679676; 970339027; 74873134; 735321803; 775417333; 754714327; 621700221; 859878566; 916348489; 222840659; 866610098; 154017673; 478454727; 982396664; 283730058; 852281777; 70375151; 537748221; 514611239; 817953204; 197199106; 845650; 270137412; 398145215; 506796983; 307644596; 200682561; 516649832; 390866867; 549198437; 216719139; 625995184; 490630786; 743600438; 598934362; 952461000; 873278670; 381797277; 306225462; 91875109; 669545961; 806527540; 668206158; 25693322; 825769718; 40770674; 991238149; 879532120; 529581580; 246610803; 863193314; 509394447; 874127999; 471637386; 187110897; 530462652; 512995187; 47390857; 821560434; 544409795; 755025474; 17995561; 60503482; 29397594; 160185457; 915040400; 645162521; 740373606; 43563618; 422310037; 941301130; 379766982; 788994120; 54584797; 183751691; 198341560; 847328407; 560369208; 491618087; 368208691; 328109816; 896398885; 779647341; 42068480; 569486358; 256856182; 188983388; 318035855; 35163314; 510484132; 923179367; 254914740; 673284963; 997031485; 218089033; 292517541; 331156816; 26700019; 619499006; 591593308; 750513843; 33192773; 401887017; 208404341; 201792872; 793423977; 259603376; 64805980; 958079717; 860136264; 609659466; 199539657; 566874885; 216741099; 333733522; 43701398; 170809043; 8406500; 542001473; 989186301; 249060621; 901167915; 219330955; 855724670; 290792705; 658288815; 875898561; 522679861; 263923689; 40406907; 498353176; 499525708; 773841100; 322312641; 229793585; 575989643; 795981136; 879459912; 897923518; 61658420; 600625790; 842937304; 288551817; 118946563; 585198898; 743233730; 488348911; 514513485; 802877807; 505579032; 682963670; 867909104; 575720932; 30027139; 38685395; 423374943; 299912739; 193860743; 246494144; 415917187; 692561471; 545405312; 690071802; 775700364; 332103230; 178961871; 751044790; 505942250; 90088473; 90295823; 101190101; 537346178; 42958098; 420978435; 821707012; 41512310; 595261991; 192851643; 316833754; 9164808; 829537081; 796587527; 139144497; 627498379; 121760483; 808985396; 630864295; 46890266; 526023161; 268808958; 765420344; 651238717; 352332360; 807082412; 524737331; 366945072; 752843678; 694040815; 973287908; 611421769; 877627600; 161254104; 303825985; 152189123; 149333640; 892108082; 559602034; 897996229; 110191757; 831132346; 156608796; 367013069; 23548953; 252920325; 304913606; 79033785; 645497065; 741727287; 816798529; 455679219; 527290470; 620234123; 734344153; 825781427; 754830175; 493307676; 595147282; 557360365; 693049081; 386695992; 842764724; 234442491; 663771397; 212066399; 814462964; 642291926; 974634090; 450930570; 955748811; 295937688; 109766009; 602138409; 365088093; 241763017; 604171561; 58461573; 422682138; 790576133; 27799324; 129099389; 107694995; 101900569; 135537987; 20498999; 20712856; 836280102; 91742329; 788712295; 520582297; 152983320; 194028455; 503101157; 300262150; 382417713; 541482929; 176191185; 717977402; 962125626; 651908612; 937833893; 746482496; 378452468; 793921833; 907428216; 68217207; 483927679; 299226269; 914669896; 352393813; 400119856; 59583791; 973196041; 351309612; 256683234; 87376762; 951340438; 233272729; 909061106; 25623133; 800077487; 842764539; 317785732; 880512653; 922446014; 545651681; 848503470; 324949980; 531944588; 133349987; 859675250; 666406836; 935180429; 65727043; 51392136; 161537274; 937703440; 777227880; 699922236; 557108229; 298808654; 511722185; 803608600; 520680441; 531591169; 707010573; 451762535; 696474535; 733396932; 102689447; 770001564; 202891432; 146375615; 661847260; 738189058; 499204821; 585682460; 475211524; 352282041; 120904561; 141039482; 859843258; 918964438; 321171654; 672005068; 527262040; 590005098; 372245837; 49827646; 185477892; 656368221; 113242497; 252986841; 260310604; 800722117; 408083827; 770783592; 960207916; 223992292; 691900446; 686861703; 734044485; 529888819; 245476135; 380171123; 413005194; 614341337; 697068440; 69111229; 384176175; 62236706; 848847479; 743067995; 582192179; 946397335; 339929927; 107157466; 202621527; 995486504; 25659031; 153324480; 323391425; 88804685; 626513679; 846793120; 3268397; 279179087; 51350447; 177601071; 942545265; 748923131; 997298647; 39963159; 217108968; 834279534; 599694537; 527119547; 896623442; 522904506; 995747008; 711740861; 250607089; 277067488; 605560465; 872466106; 859222633; 490493753; 584402430; 808600743; 203366278; 235976247; 831499416; 683157226; 574917111; 389527069; 392822265; 116036641; 887845854; 575282759; 938874963; 249210075; 386594226; 427459603; 888397737; 770189818; 896661769; 961039484; 512683449; 182181458; 133305052; 420971339; 975949962; 963822753; 465882191; 888351755; 980820202; 434567016; 83159802; 951003403; 593818782; 795548028; 249144711; 436476958; 887244216; 220594204; 285362175; 555798596; 551185624; 817086740; 168428707; 565669042; 109309326; 764158541; 147599081; 757169353; 368415519; 187948778; 662668636; 962331746; 31411209; 903866562; 764367662; 32266332; 998680142; 905993366; 881377287; 447489279; 929667176; 605808333; 313308148; 931202524; 755706584; 468572381; 661154578; 422885901; 985066119; 259392055; 715605981; 691930195; 578525092; 193951978; 564986310; 546843356; 982823358; 302947773; 934740238; 772427320; 376518106; 487052449; 834896345; 522182021; 512137815; 203290456; 988262238; 243321610; 65395719; 937967426; 251820179; 878862448; 313647597; 710188941; 744430980; 262873983; 382581354; 483793652; 966167134; 454672540; 603560964; 496567002; 57418472; 155775015; 298144749; 70530864; 627121724; 978021432; 259084339; 771667254; 410197351; 851058314; 508394068; 395686592; 884167093; 228734216; 813862959; 492406519; 733345739; 890134012; 430625402; 771989841; 219063473; 861199642; 290812323; 362743253; 968210658; 665812989; 860182076; 897581612; 892806546; 368217542; 50585846; 489330075; 475140295; 292425777; 815684349; 524714945; 403843171; 661546694; 808321047; 380143415; 808513913; 608896910; 68288018; 671152877; 813281019; 161980917; 985375716; 683363408; 33528621; 121953146; 710551179; 109512912; 30453370; 204181811; 487495666; 807713103; 16812347; 223445027; 418206430; 239979147; 180710487; 881046851; 854749419; 970827678; 875165836; 711885551; 39935301; 329377761; 623519755; 391210881; 778625669; 408985570; 230948175; 876475828; 561731448; 114720131; 775479818; 409174963; 544193243; 791763111; 825837796; 587853306; 376459581; 928242149; 931557965; 454987596; 271897160; 432073460; 713711246; 662380940; 854541634; 260219666; 204445964; 226967495; 377760066; 127781480; 317396543; 859329970; 860322569; 312793692; 288862621; 566534384; 495605340; 253416494; 22485406; 916218669; 36148853; 987666353; 722443503; 491969169; 511181617; 301163356; 240123050; 291497002; 470860625; 196586958; 724871839; 269902921; 509695338; 994580936; 195878185; 252698762; 383498623; 526484220; 860888449; 483488101; 367976718; 358641458; 991454752; 896010816; 610256749; 445540683; 829712360; 623657508; 43214394; 203869932; 655619939; 390970332; 761100917; 551532571; 638609046; 817072285; 478400132; 905733616; 390204651; 221286127; 706408102; 592828284; 109404140; 504611593; 786066588; 822444205; 214567436; 626713788; 766218811; 503924314; 144468557; 410057676; 78432340; 463652904; 919436762; 7267547; 827696233; 501169246; 770410963; 418240975; 925065541; 498270350; 852097302; 92144512; 47163368; 476431603; 782697020; 56130633; 702241384; 511388604; 44202274; 102441626; 655121174; 373856936; 863958642; 306114029; 214373056; 930961082; 459126646; 532693217; 939024679; 295847335; 857303302; 546847724; 996656312; 964035068; 61155429; 874163837; 967738396; 462870825; 749609417; 976936072; 293001686; 922925001; 933320893; 120586264; 969569606; 370196895; 550987575; 700558445; 737509686; 913120696; 980661687; 351857235; 657524423; 879095665; 712044116; 421189749; 961376020; 197674601; 332444503; 29268879; 548769473; 841416900; 365897362; 304006658; 994424024; 681744639; 852423799; 692725492; 650071634; 353598672; 582734445; 59112425; 167662921; 556817956; 951552368; 149448561; 285223431; 336031973; 735958317; 187328065; 694696467; 550556455; 539451632; 818019469; 322852472; 539982498; 441909878; 249743032; 649083201; 239320146; 822368152; 256066142; 810415292; 600706487; 356783213; 137975220; 823759932; 237654746; 819316343; 523287383; 683761280; 518493081; 458671312; 935424461; 303712075; 813055887; 796547080; 424753129; 433938372; 413497422; 706650821; 384266408; 382194283; 244454367; 779684575; 519278024; 696073833; 800308633; 145205148; 242069381; 962596183; 799265584; 157646502; 133955185; 34225419; 904303175; 413030071; 556497231; 211919791; 669420893; 291968135; 847619445; 213634913; 172223040; 518789313; 271617852; 688275349; 774809343; 266405182; 384591280; 932600535; 76918990; 294536932; 102204115; 805782558; 472153789; 773089799; 796691033; 238203420; 984770197; 381463597; 294395489; 236231500; 884748462; 999181679; 551274047; 29066335; 679596976; 426214477; 710576411; 473669405; 710823549; 933716672; 481888016; 215651816; 922656198; 813551400; 861580839; 679976137; 896932601; 525367858; 251554773; 740223814; 417000211; 977382053; 856353099; 826231075; 206181023; 712235123; 752101838; 415073546; 764329435; 919677405; 199724673; 10266011; 184051679; 533291145; 306317256; 15832081; 19002639; 340242785; 934737897; 728945572; 737830033; 544671398; 511706922; 363857603; 394512149; 294677095; 845622480; 875275261; 197131912; 219904494; 517737234; 561588125; 878429394; 573126199; 300426930; 223176198; 488304644; 985860245; 811079253; 775061071; 95537550; 11461466; 329019433; 35548906; 707846081; 339468059; 899312108; 670291070; 564042697; 631733792; 85895521; 350174517; 602868888; 483445557; 329421764; 791188720; 628580633; 84513481; 776585214; 410105813; 894426827; 166923388; 563432259; 258635461; 583766384; 352431406; 114625381; 253379166; 789903333; 773335597; 530638740; 754959445; 287419732; 245298125; 406323121; 329318066; 152865065; 790757089; 774611428; 262519327; 226307566; 751792949; 573534881; 318011362; 268081259; 79602833; 397690184; 559537131; 251267124; 790626568; 343718614; 747530913; 281917551; 714994147; 704179829; 256859237; 994808626; 559804099; 587082266; 719203955; 542321112; 564055583; 125244477; 778785985; 26863704; 817747752; 481096483; 515528217; 284514308; 681917482; 462236281; 372210690; 893631536; 528653705; 828005134; 439970808; 366886743; 790853343; 857438457; 39898329; 889485297; 299017624; 968749646; 219996524; 488772580; 247897050; 664474829; 744579916; 551212016; 273711854; 164391024; 480973094; 295503984; 749297848; 521190829; 215699547; 740122570; 862406838; 580459008; 516780202; 157946400; 547922722; 771719944; 66350978; 368882925; 153998828; 208985844; 833489372; 809821021; 767027687; 846278204; 939448353; 878823205; 5353537; 92853765; 93543950; 755099266; 24607469; 456326230; 135381382; 581079985; 421883520; 268672369; 415778603; 776936203; 933568578; 620078526; 498973700; 402542391; 408132709; 208397700; 864141877; 662819293; 447004243; 287624088; 185247212; 909228233; 451971606; 366480460; 827115342; 796611427; 437630325; 752279854; 773006887; 513489028; 903549507; 718670909; 666242890; 769190443; 79358299; 346866669; 420138557; 643385097; 256708654; 326869611; 984292668; 994609407; 91761327; 917864072; 719861185; 937640167; 362576759; 379394941; 792557224; 730437679; 554015363; 699935169; 43380670; 126421303; 446890186; 420050502; 147567534; 152443587; 526024500; 448306614; 781029867; 71334941; 531653875; 930150246; 276504212; 391699558; 102753666; 272924101; 211971299; 472376751; 365339686; 796184871; 396912492; 521507250; 980033572; 341261891; 492433306; 994072857; 196988021; 154933582; 132454670; 153156669; 516666071; 188259256; 318537751; 832983449; 183180283; 348724839; 123939559; 240269660; 671374486; 670329580; 109005998; 638784625; 168146428; 593962710; 797316704; 972163843; 123698364; 332329826; 319797197; 551582880; 480910230; 219603972; 58630968; 669058279; 879345297; 926679278; 748969192; 331839551; 942225758; 820532041; 81975577; 896183107; 320076347; 535755276; 166574183; 646395998; 267453749; 627210047; 491938561; 179327004; 901105616; 332346054; 265224077; 417623325; 948516376; 130227618; 62626809; 853257867; 449278164; 470878471; 101896365; 181047309; 620674919; 923145329; 523616717; 681166080; 925437187; 411317826; 310190975; 45054023; 458322376; 242937382; 341746628; 541523510; 159242023; 536955164; 345091432; 707944153; 428880969; 61820856; 907614502; 610998302; 969622216; 708436587; 284362469; 399773050; 120345577; 163885348; 63810671; 643978311; 933493090; 623411637; 269405142; 522485355; 581135279; 477248287; 837641582; 432587184; 210967815; 193787924; 980477485; 999340608; 559822950; 568570895; 679690966; 817412484; 739194430; 837943024; 996090892; 689181481; 752396295; 616741775; 799163500; 213113822; 885530390; 556286291; 972012262; 690437318; 276517027; 648166940; 454266724; 546599173; 70806194; 260179687; 797380664; 91815707; 275575120; 493206352; 271592680; 138993624; 800066480; 172560588; 682598259; 52549243; 248816778; 219497863; 486188312; 616014162; 595066904; 774917782; 193164329; 466245873; 773489672; 49677799; 393598007; 130941553; 294017382; 599837450; 600174737; 419473709; 800093447; 146398794; 221862802; 115477655; 874630146; 945090957; 984729159; 737371630; 407764031; 107395658; 770456863; 165488265; 125237298; 729001975; 733689657; 895392660; 873182777; 457470011; 54519899; 81174309; 877917475; 580680533; 114700810; 232451205; 893903274; 140671826; 944809029; 211349171; 209602159; 30899679; 195346577; 558482715; 705102692; 205482411; 988031701; 492234574; 278736646; 489121534; 380802867; 968077799; 591605627; 695678589; 257451706; 166097982; 709852710; 534426192; 735396168; 565822587; 668130671; 667183151; 302838634; 771092163; 977912341; 922106281; 711075598; 490569517; 324611600; 864172701; 973971862; 264537924; 494449240; 914053625; 359936709; 997679405; 96848986; 357084425; 946675465; 477374592; 80245409; 486634846; 16766509; 178172184; 764963973; 226597971; 515711325; 514907545; 853630161; 153520727; 492410530; 20739920; 890789966; 501098408; 749287354; 669032557; 316218600; 227778411; 352452378; 388363135; 203335386; 570118496; 233793898; 340745049; 593750139; 215010279; 629545653; 587836558; 773418104; 291906682; 833810625; 896710719; 738310296; 964405146; 567370034; 75089973; 580549066; 223017896; 125113636; 225348481; 152529636; 796502886; 559716296; 2222269; 132566944; 865913789; 134394174; 269348648; 400426130; 617319114; 882800692; 889849041; 211853210; 80486080; 263819895; 574165112; 270184220; 839342925; 563051107; 332244023; 798887623; 305958482; 457869145; 895283237; 458289441; 975812363; 917028200; 410538450; 282707901; 12030940; 636379190; 770184073; 381047912; 744124991; 322632216; 70936069; 819271669; 897812537; 297466135; 505381010; 509359685; 185892060; 578666497; 583701353; 399095640; 268958728; 86670985; 112770388; 294777865; 175820256; 767881892; 223753451; 725303232; 126169511; 231929192; 289982983; 695571312; 551103075; 139489389; 134246638; 16460073; 155237454; 998532506; 404183891; 782990240; 185699880; 638841387; 122230407; 644400303; 104282199; 192822721; 448445164; 878640635; 388075775; 386278677; 626875132; 222866530; 413333070; 964303501; 128160185; 516322720; 324502458; 696198787; 635755290; 73198684; 20970567; 806278601; 642646214; 422818264; 703358271; 226329391; 645426755; 706569030; 533556446; 36127794; 688158289; 717717696; 720353671; 285298676; 660840993; 486699597; 249452758; 253894938; 99922323; 443052312; 329931885; 128552456; 346543509; 383161337; 679345517; 718354571; 104035849; 318442168; 605144710; 632992537; 992462693; 911055492; 437340596; 251988060; 513245953; 116722268; 94278331; 4296564; 655783790; 585753148; 202374858; 867532748; 745197883; 638989246; 675127021; 845956304; 752971272; 471136199; 388743258; 928961709; 432160143; 852004265; 738573704; 687584393; 917478399; 581609550; 862201927; 230218639; 125022592; 53432964; 171085346; 359182694; 593781794; 442701106; 675832293; 328065314; 850598875; 788276208; 28235250; 498195705; 165715245; 436019611; 468183632; 156476707; 992442842; 346119894; 543163167; 963343597; 875767689; 486243289; 394379451; 451299435; 561964427; 822460608; 943054869; 809187016; 643075819; 530964793; 522275597; 165030019; 268042364; 35130547; 911383724; 56668181; 991982055; 355910513; 433034299; 84186695; 816810798; 193081739; 999531861; 7667839; 553669564; 235040730; 167679886; 246668294; 983449860; 628699349; 300947189; 413383936; 61752514; 450673969; 656650164; 259065573; 747506276; 932364798; 395040892; 709370188; 893361798; 423817546; 427680144; 386563780; 662631997; 357427275; 721000558; 954658615; 41010602; 141500226; 111598960; 978754862; 122886065; 54908717; 626615728; 748350909; 449067253; 675511338; 667172974; 120479113; 281284923; 996845583; 744953143; 351568982; 854245614; 183948898; 946321469; 715649457; 862649430; 944557543; 180462372; 317159030; 64383304; 689339549; 778930311; 961728511; 367683508; 280071935; 223167784; 774352192; 980417749; 765868351; 220458526; 329073876; 933916996; 478636996; 29270526; 641989580; 339608168; 478486647; 518125030; 310409803; 519822096; 702799253; 209765417; 216468950; 529181985; 363176620; 825155402; 597897583; 294755383; 992038850; 456530831; 352301019; 92974336; 750291000; 773724598; 249276123; 663284095; 426964751; 623227601; 851401743; 965523968; 833507438; 644373089; 201559426; 503726864; 218978319; 45044194; 624622217; 846744854; 448288429; 439326916; 289919036; 106214901; 877973184; 398013301; 105412462; 592433358; 495720875; 416934512; 142918608; 112513779; 205053927; 962237786; 143588995; 900496223; 771700798; 920239004; 188322652; 360933493; 951501412; 442901666; 247589695; 907861601; 441692331; 223801429; 617060424; 977440136; 353803807; 498025320; 584186765; 35682688; 411230757; 918913281; 909671649; 814677533; 381065813; 785486562; 570347964; 837659306; 158808211; 837321122; 749014283; 694580733; 998475286; 189906478; 351568128; 524922822; 524166563; 972438552; 613498827; 749570717; 131756808; 687499688; 633895985; 69976946; 963890141; 894000711; 118909168; 173422419; 983500190; 761403340; 183362071; 328241286; 942405600; 303267976; 925272324; 900241925; 670757519; 656540170; 276561463; 326712656; 336837618; 477459249; 914293526; 535947995; 349338377; 843745600; 687363750; 447408319; 984372132; 586919004; 182066373; 462723750; 22872947; 577227527; 348151056; 977264946; 166931403; 652541759; 178514674; 72487560; 39901528; 362915499; 957589049; 378586079; 159331652; 564994925; 227812999; 777232632; 838140481; 543184493; 52076992; 895701; 981490615; 646924103; 61657228; 719040791; 655105741; 843883901; 589584547; 287291299; 994674140; 441878332; 787553934; 222176606; 241842962; 63200767; 671898328; 284159658; 141605787; 496699656; 723789705; 327045112; 540660107; 741815534; 170510038; 348119969; 53328802; 645702221; 734664904; 264977334; 576307572; 313726919; 35196688; 95551387; 854125934; 636699947; 210356234; 867269240; 901870048; 855396188; 338956692; 401997432; 25967920; 69316581; 113645370; 820689430; 973553693; 711752511; 795562426; 288654896; 239474062; 492311617; 108695744; 456434274; 700386211; 866693390; 677160770; 727066391; 328415347; 225395586; 560205534; 58180139; 479459501; 221041539; 810635555; 381809670; 204752422; 67110934; 146743552; 195211028; 276119066; 935121482; 665931915; 328594844; 36491200; 640268046; 185755509; 776279469; 783898079; 724547407; 660982540; 115162069; 529071803; 244953709; 117032672; 219257407; 566451240; 660863408; 499935440; 468344459; 82620887; 944609109; 218244955; 32283990; 3207286; 947764773; 909240766; 937055611; 734149398; 271877098; 490404546; 211734652; 20024230; 372545904; 519031231; 767166124; 966550809; 227315980; 155700295; 311904303; 184894297; 259739853; 688342636; 701535987; 112047754; 456278218; 114132524; 215171595; 45989576; 335534291; 363443926; 494129232; 335409663; 101247308; 167261650; 42762182; 55352506; 11764276; 556445915; 679920194; 866499751; 6991811; 184654273; 542653730; 841948541; 177315823; 918694704; 27249612; 269849091; 489052604; 196855267; 867127973; 761425860; 942094338; 620558416; 152237381; 529605906; 328031377; 9218698; 891162852; 305803192; 305087356; 61901359; 496422745; 382710807; 19143006; 812579371; 801617161; 906854680; 214305178; 986399988; 349988483; 470172702; 905817944; 131710881; 167648804; 841778880; 192159101; 827547703; 634913802; 967383307; 274745823; 589322372; 363260351; 747943926; 675275635; 834583262; 718312420; 182474047; 143104522; 757926346; 313333695; 322883359; 705422516; 167305014; 666567468; 404011475; 724539797; 688904814; 310898074; 814934513; 449855024; 806543590; 673497337; 774739108; 589278564; 692617398; 323523308; 472949518; 643629624; 667358645; 525307255; 737074954; 771960162; 986184023; 422094352; 468520228; 576571461; 311231604; 404982617; 69880918; 629568850; 865200689; 337373929; 295412461; 588033030; 703252432; 435417875; 295581366; 507723282; 942775208; 645611423; 267860760; 15337383; 943760025; 736493088; 30780639; 936817749; 789295913; 47224596; 88597360; 499846292; 639439694; 71247674; 9992788; 660660445; 631160257; 620239; 555834644; 485398529; 103539004; 369882946; 624334025; 924095222; 921020984; 176466465; 100747493; 247487155; 715895679; 62535495; 552321402; 822375464; 203651681; 442988171; 345938539; 754602971; 927572096; 772219944; 404169830; 101102230; 446258164; 625477800; 669049923; 830459510; 112061175; 577656212; 804010017; 440257220; 289858339; 786790378; 663236701; 604311798; 275413207; 708999955; 189262728; 283164009; 275115922; 334377355; 997591831; 385629393; 656681007; 847042014; 641416831; 932119109; 360300013; 993611935; 556818239; 952590781; 510242946; 583792067; 490562526; 275366315; 697994737; 215278485; 172157343; 460293635; 886102411; 53594931; 2489252; 500899515; 214183283; 958559677; 157260586; 470112862; 587280712; 865876352; 856925326; 397371046; 562547650; 231169480; 40433049; 626853753; 625118291; 378078233; 430376597; 639294788; 992776848; 52368936; 804346912; 861757127; 716344018; 820196419; 8057324; 456688345; 850770653; 529308949; 24207663; 453596898; 813133511; 757022390; 74050225; 292005482; 204194272; 883760801; 311561543; 958553838; 80214820; 527810997; 832427278; 562603227; 765505956; 375892105; 986725482; 811819208; 158003462; 240557182; 733880901; 512200588; 355374891; 819124938; 27697807; 774056067; 698118340; 904095150; 511156198; 209818731; 621748190; 118002313; 804792089; 127477; 739895643; 302361061; 735419365; 654879508; 153380045; 661473308; 588658090; 442817478; 173223184; 476070823; 710347085; 932386818; 874021515; 654240874; 124352018; 791842805; 216754846; 801807082; 29830412; 158108668; 164197588; 581350769; 678767497; 190971568; 224094116; 271378264; 428583404; 518816805; 870195492; 810751924; 286694744; 778479655; 407059249; 360759585; 98757688; 305698230; 545415962; 735518958; 727176495; 437903066; 786063860; 530028914; 559418000; 28947898; 508567703; 191578528; 10474009; 220819554; 557278379; 594971083; 904017047; 828921725; 706430420; 874891376; 27526912; 542553184; 527113732; 241406420; 616254952; 577109508; 262741913; 223137581; 656866375; 249564534; 112613371; 787605116; 126614585; 955827486; 370447122; 278639425; 484329; 426287230; 622559892; 646025601; 460921293; 690776279; 491330254; 124045605; 681548016; 819001323; 20057659; 638674020; 497917072; 235768359; 467115818; 206149435; 156892351; 766546038; 996541093; 129463523; 884284834; 935306796; 431565773; 500681550; 261792861; 753291082; 948301176; 268035519; 163106294; 916948628; 354898974; 219933438; 236592294; 693006256; 188285530; 206355267; 178978202; 884206349; 69687580; 985795894; 331610062; 111664829; 416817188; 377402297; 299442172; 344890482; 696229612; 263360782; 996625339; 221474509; 297995066; 595769889; 208042473; 410470680; 500515397; 499989380; 706669129; 814985458; 759077123; 263493292; 699170037; 631339993; 253633610; 673192124; 675153141; 874958993; 37008724; 711343196; 613401322; 852648143; 600678990; 192394648; 51380980; 829820044; 894915171; 847149398; 860985105; 605447682; 142829439; 20193112; 398855510; 410702835; 806976249; 502955234; 489964236; 998431646; 920991916; 139015393; 636790415; 978489841; 749580590; 243184338; 112588051; 425231137; 510066260; 731698381; 889502629; 242625057; 657241337; 526938482; 176143480; 312508964; 478147944; 392967815; 61867452; 738099801; 806995199; 28148513; 334041363; 526994652; 549523512; 997330143; 647203687; 590394654; 318388976; 762861552; 664472564; 219924447; 332483135; 478404589; 454506275; 555239576; 611009977; 664994653; 565399650; 550644317; 651817697; 990580966; 872172148; 778173761; 127493417; 946517596; 971821630; 991518081; 484533600; 873710238; 768278376; 610970377; 444471745; 802122109; 289559545; 53692899; 84198386; 88979806; 967806712; 206892122; 75939707; 755808621; 248474676; 436137086; 891079738; 811733611; 744072298; 32439052; 548305781; 283647264; 55200538; 724422252; 800358284; 531016959; 501470485; 935251647; 830909481; 892557521; 273232579; 575399940; 913241549; 992301788; 771887932; 969566616; 300056777; 33027736; 975420829; 841222812; 572343830; 346788874; 721287826; 294625586; 604646283; 780128537; 392076861; 139362064; 250657742; 870803342; 309935086; 376093361; 245163505; 170388143; 816448783; 340979164; 554358651; 371377783; 465152588; 908135407; 494658147; 121791944; 645611620; 582822942; 818214185; 134241336; 353206920; 343114124; 326255233; 649106459; 489165018; 233153938; 685605118; 211485005; 447450089; 285024179; 195241537; 565056018; 246324474; 132907079; 731327708; 176019591; 219547312; 632887307; 775792115; 95889334; 617462687; 118422240; 881714259; 359904982; 534443588; 361941965; 601011066; 19152667; 953768602; 385249628; 339896257; 939834422; 601880479; 40700547; 323048022; 957326118; 805975658; 727097429; 912537037; 79310161; 888873514; 236679939; 144834296; 555877519; 258273497; 117582904; 983278122; 595211525; 945227383; 907062005; 395049156; 820361411; 493387429; 588956513; 39714758; 601891195; 450393111; 813911734; 661918883; 139466027; 359814867; 263450008; 213494868; 395076209; 223693248; 994099272; 308686372; 362186690; 187179680; 484417252; 441646315; 502952031; 288255039; 337438545; 38857252; 11799186; 712908756; 50904556; 69639046; 155995327; 96157440; 635963592; 371780164; 37520382; 443480608; 710939489; 759085732; 906222952; 140007168; 838758451; 493094423; 853477895; 793640028; 253765299; 129229440; 607351012; 535035005; 923353901; 355140445; 955579327; 496811034; 301502339; 840610700; 219380006; 100220383; 646030967; 301643694; 504969823; 366188601; 949179021; 312511339; 468984024; 478105334; 278045498; 395881531; 694835154; 101712731; 737040035; 99905163; 267056637; 601786518; 136249352; 228647165; 76088369; 308669737; 274645567; 76231167; 650842107; 177273533; 390541831; 315853188; 458698482; 862432231; 651299469; 772351625; 496172954; 434273998; 623443386; 407681939; 460978329; 472032575; 578294801; 951734031; 814997775; 121899461; 531317607; 987058322; 232519090; 982546151; 920045591; 140511203; 755837030; 701754928; 802310336; 672168874; 99741713; 261312495; 264869930; 336371467; 753080039; 937520766; 138934044; 332960014; 743445692; 139055284; 494595886; 335395673; 519169752; 603537709; 914846993; 754532808; 384628026; 204867798; 356837423; 362795446; 933100334; 468106281; 562887088; 832500809; 984723757; 309292029; 302777636; 762940997; 859182498; 463467917; 105321213; 54985471; 839279794; 263374397; 107429858; 972148947; 922410684; 660763770; 844363642; 456461716; 439363063; 770433373; 1417753; 96317378; 720084812; 662508277; 824171486; 107475608; 701768363; 249390976; 669283116; 586425300; 702342692; 243790459; 245960695; 656946889; 744763795; 661193474; 803720756; 649770505; 213887785; 41089897; 797862045; 273588905; 217114848; 357889603; 127756619; 188937683; 917491244; 464365607; 976448096; 701516983; 302462356; 57602382; 645130507; 675469545; 858621811; 819486668; 750634579; 196530735; 570863568; 261871813; 286548526; 441157270; 371153461; 443277117; 563537775; 363696273; 494551943; 939506113; 692882022; 320427364; 204599404; 655916406; 879950460; 108348520; 871580316; 633618504; 896359204; 679702914; 448350085; 207275270; 919654100; 982626997; 52329222; 636235147; 221223082; 326059345; 404316320; 757495426; 134140786; 863715451; 25201970; 631359077; 161453992; 427546327; 103466596; 785678344; 711293690; 31536692; 270984375; 212341308; 883885024; 299622932; 438504416; 238473964; 32935297; 359080417; 254612763; 182411867; 314556471; 288722054; 400619833; 405171111; 557603721; 801636532; 328343224; 141141921; 271952298; 988934438; 577375719; 624587101; 769860801; 819329174; 632820525; 637881046; 242326192; 598341118; 699040149; 685705025; 581449529; 18602552; 171407868; 691266286; 722576152; 562897587; 679172454; 383661719; 176029747; 299774287; 720594048; 189866900; 3984142; 512905887; 791918569; 509950363; 508852782; 339852949; 973192598; 834715119; 403450280; 25584717; 686904464; 767084432; 24396485; 42434761; 90138536; 286760949; 912593686; 59814451; 138347163; 19201776; 420863997; 714522176; 241866978; 456230245; 4528682; 517250456; 854467403; 765724934; 556372603; 709702275; 443864959; 410318209; 550877613; 253107307; 680346108; 248150350; 640762850; 135451228; 907722613; 399661689; 748150228; 117177457; 440750283; 673876283; 188648874; 172568866; 230438631; 746940000; 118842486; 224081645; 741016444; 968345642; 963670447; 415519105; 89169867; 887685073; 744356177; 920055415; 246619445; 891571441; 348138997; 315720491; 341695393; 582932781; 230597498; 810390489; 714609552; 825865668; 896556045; 767326619; 437688846; 135498886; 168422509; 235823186; 956796056; 160416668; 533704085; 59903191; 916076026; 585551355; 204320993; 189501701; 164473007; 854246696; 564102667; 202538389; 553226576; 155902965; 231103295; 290075301; 797898168; 553018877; 406020713; 109054901; 104504049; 816557830; 831468947; 708315999; 802406183; 418204134; 891692840; 786748545; 771824375; 238944438; 818080487; 402621486; 496172317; 542110697; 143321570; 337569097; 463361946; 999107757; 461559300; 506390479; 562547167; 861648039; 386466507; 166634189; 969173429; 209377606; 50763384; 532913236; 88577727; 33809533; 657342657; 777676882; 6401302; 41984805; 451605115; 525041225; 698687170; 887666480; 841538404; 443886390; 421539125; 932434209; 255025236; 57063758; 212549696; 220241061; 558250560; 756442511; 956202486; 705850527; 502128718; 722600006; 26665731; 301194501; 893771741; 17536631; 194166516; 265265083; 173725555; 648339216; 346697943; 603537529; 844452241; 265232685; 328970815; 933677449; 19404256; 956411069; 527982430; 22041086; 142709929; 693468734; 351748984; 552648273; 588417636; 382972484; 765775291; 52497928; 453675760; 631800592; 256564591; 300127942; 972099832; 309874812; 223682015; 690792026; 342795520; 556531897; 836635526; 439368379; 21649523; 467709699; 806958719; 241996791; 515663175; 39325315; 830342504; 726913695; 690841957; 457918223; 880904737; 549589852; 612413421; 475321702; 322765138; 147471558; 886896445; 798388500; 298413844; 546376948; 210589724; 389892434; 620127692; 28363001; 742750505; 614452928; 74742464; 999315754; 570207098; 114397329; 774393905; 136187306; 275515992; 776296003; 2864113; 711334087; 262286133; 306959544; 18516733; 437230890; 640221503; 486969561; 433991256; 516741707; 980973944; 146334787; 44797735; 994651776; 50221544; 91798450; 304522266; 157948551; 353186649; 98892189; 64362155; 132907984; 461130008; 17075932; 878446764; 570523433; 457457680; 895598755; 374559411; 903312440; 429577018; 525323712; 152819652; 432330364; 193109046; 109800758; 848466094; 909911386; 962875284; 619017693; 890625699; 565335848; 126844206; 916804286; 379769066; 136778820; 17857559; 624946121; 260161453; 464055999; 113734199; 148861681; 239178161; 539977570; 468346890; 779485957; 217827913; 738904037; 109009094; 193259237; 209371104; 104284876; 994714651; 69807734; 237140423; 795626915; 470350423; 621758541; 8003794; 911530840; 176935074; 913807547; 582411415; 751265917; 989451829; 197998463; 8317038; 599474465; 279199919; 487323218; 21386752; 936271012; 23042345; 376027103; 421118601; 768640274; 184239161; 157866672; 628673029; 659279293; 591145005; 58312144; 420843028; 763862992; 571713235; 911460944; 694001543; 594082542; 383030232; 792502732; 572771185; 403347361; 252904736; 706213094; 92262739; 645273186; 323358538; 614295601; 967331890; 214391285; 499410179; 889866767; 15502582; 587425995; 163077395; 740023846; 33168729; 204529541; 410459690; 39360683; 205902288; 261178856; 573498091; 677668637; 833560110; 272759826; 781930829; 882654392; 319579828; 203413948; 725664625; 526328245; 180604572; 886568902; 852119305; 348417880; 768560433; 581082098; 746185909; 145021289; 844105775; 582296634; 212463008; 80871768; 828284303; 524540516; 337809383; 273883655; 13090504; 211394396; 944261926; 78498162; 47024161; 109673128; 42598639; 29547248; 311918130; 400464295; 445507337; 22727708; 666047420; 452000946; 185098222; 434951807; 372389615; 434857591; 992786030; 634432553; 60308056; 906952631; 277194079; 659043672; 763175007; 477211565; 362902436; 756246484; 369104895; 723673851; 157404699; 738120182; 999387121; 329654278; 963098152; 406351880; 544915269; 879079838; 932976359; 478384699; 752794669; 951450797; 267733394; 935553427; 397002660; 557606834; 444705668; 650315692; 74763654; 810107730; 11810701; 131683672; 479213397; 633700557; 783052714; 237451712; 998578604; 23714871; 586686638; 260773767; 402721708; 397571405; 872559166; 333605832; 976721352; 887262991; 26786076; 565267798; 517120720; 842483579; 175200806; 685113315; 186883802; 27939032; 129089384; 418926634; 876846466; 438868506; 62843661; 606423792; 569434867; 725475205; 256412494; 1339948; 718399109; 577414596; 967657410; 164704622; 246769505; 563788533; 338213641; 887013994; 595802577; 605322210; 16422056; 380118947; 451100359; 648441431; 705243318; 819715230; 625282049; 555234838; 566455098; 175648281; 493591835; 739003271; 602610139; 506208292; 907265212; 415666079; 213661953; 59107965; 761951793; 255184265; 473043218; 852885030; 145489181; 502576969; 796183292; 22207498; 115736872; 704584424; 319370084; 154849744; 174166910; 273547898; 638232869; 192004621; 611892830; 872176572; 602220690; 300759799; 821896943; 349249622; 856194353; 424656517; 228176179; 511850408; 311455871; 250131351; 897075604; 869609614; 649018761; 595984422; 887175282; 588084682; 8811775; 578977043; 762894983; 202618649; 488865500; 447747209; 509010545; 825193593; 273744241; 499146846; 147255257; 45725285; 86545108; 572755715; 297431453; 94722824; 378944715; 779477956; 977181830; 435713357; 577050463; 142378245; 679207691; 362576227; 877529158; 487468658; 801732091; 14128923; 398076287; 117690076; 658395878; 196556255; 599437958; 942091884; 435917417; 177244239; 763635195; 47209859; 548917447; 221810682; 644590859; 842781373; 304754915; 875857566; 168782272; 809599609; 855536254; 687706729; 929073658; 228058790; 118953571; 663284928; 935480625; 273278755; 92069202; 218633529; 923215189; 134018078; 168877088; 812529636; 434819979; 430082965; 860505636; 820381237; 409303894; 434323284; 665013721; 647861575; 746981751; 429484365; 890581277; 479444956; 497844347; 90267805; 419228046; 514766174; 346480837; 408025143; 587179290; 524423163; 214190250; 97583272; 992493680; 559539842; 171375888; 378820084; 47206471; 579527851; 356068260; 162699553; 441525836; 438658777; 153650270; 618447193; 242078095; 101081467; 139084962; 554790883; 30625269; 746796880; 929976901; 590111786; 726979268; 600286405; 154538076; 334112403; 696532337; 1077015; 618521238; 695196842; 869541730; 378717921; 748062712; 126253823; 782811046; 291873211; 277453099; 778938695; 846283566; 935221786; 209042564; 730033820; 755437777; 218112551; 409481901; 368484037; 896162187; 536195631; 932579581; 558011253; 110910120; 381251541; 699269212; 798456558; 887406129; 842215228; 643152261; 767109372; 26762558; 497813620; 998342961; 382414263; 606090593; 157268542; 879097191; 212746217; 977819610; 125573414; 178718049; 177997110; 584705337; 477159193; 669001614; 25041540; 174643978; 760107346; 992674848; 779220743; 827550477; 978249947; 390220975; 329848185; 918869414; 592560505; 860747249; 107762257; 898690241; 807914501; 514767281; 507008176; 329101999; 779334267; 400044936; 762993047; 369514973; 295382622; 892268415; 481738056; 517877701; 825338825; 970696129; 668864083; 593155499; 382218773; 812127623; 838783189; 51322216; 385900355; 762510790; 349934365; 208324328; 699119185; 780516503; 643235373; 219751442; 687312596; 441587503; 396550978; 401276436; 381831681; 406209023; 589705358; 288906247; 74987055; 414927852; 934748697; 909116694; 706654917; 212542034; 716505783; 147041000; 371844038; 38896367; 443169252; 234812857; 716954362; 945941011; 537070895; 498004912; 729989546; 462645041; 811747484; 850933087; 218968896; 376537858; 289037058; 657083837; 874004972; 17678804; 439065922; 637197974; 3430469; 424829115; 385124487; 431650963; 750032551; 445471856; 414463000; 657277426; 356836194; 693648341; 500245352; 995509877; 763517870; 642651086; 325030865; 85166635; 884532587; 921232590; 816674057; 37582465; 782690727; 608399503; 602167210; 378834005; 888391837; 367475510; 113495717; 70990586; 348112483; 125840684; 226707321; 264584017; 827046332; 709982105; 453627211; 307123827; 959009945; 593170069; 96725357; 460833174; 876021010; 577282566; 881534381; 322033030; 699104063; 571250404; 308070503; 870012640; 687311003; 280032042; 432999299; 85326454; 242481354; 222377979; 902143893; 947209039; 226025946; 740943849; 413226785; 799931928; 66938196; 726785487; 507093729; 50330490; 129662188; 376451399; 995681940; 225737484; 393751056; 721231554; 803229382; 53194261; 359775605; 187634186; 946745313; 573527133; 234167251; 149972314; 488966889; 833931935; 178881112; 361362022; 910509140; 604868478; 555268623; 593821293; 706641164; 126389386; 194151412; 316328656; 141709613; 886665858; 252139757; 208463176; 159376730; 172124186; 940854926; 783926630; 692332734; 379943196; 830330795; 304555320; 185795500; 365223336; 245155436; 262885216; 293102674; 130281234; 203447665; 562322487; 227468982; 393666365; 925215790; 569163533; 811120920; 794309094; 933802469; 255339696; 984129773; 92450081; 178348046; 206563091; 639447306; 698080218; 232540253; 862062096; 297483934; 68184301; 295146476; 717600998; 187765279; 697970541; 240889913; 904184012; 54504519; 373807650; 860523204; 974813891; 561852923; 247270914; 630327673; 416836525; 80840158; 121609071; 726835292; 617984446; 663909321; 940017907; 926253781; 957969212; 288669252; 599379374; 590585063; 500792025; 466011950; 333883191; 140540858; 336674347; 190345724; 495947866; 100176728; 725467764; 428906362; 535729055; 690857381; 648858391; 277548172; 489841941; 608757268; 87794427; 289734714; 830969769; 114107720; 684968894; 632499617; 702206203; 691109888; 320889185; 105253442; 892882482; 474291687; 430830526; 76971150; 229508241; 102343427; 244140534; 423376506; 801613087; 52775791; 754726978; 790072357; 323651834; 53314129; 438667195; 127866193; 277422155; 615801550; 856384450; 776902459; 690077440; 825054819; 316188158; 902852027; 458792737; 281490613; 785462375; 139675566; 475083866; 189682146; 875289467; 358185787; 472984899; 168152706; 788004676; 820428316; 30549218; 742463350; 64428483; 535316292; 844229717; 793912811; 265412523; 325971711; 193405244; 731144498; 618429665; 431879052; 670584997; 85261190; 49373171; 322266377; 198465669; 516826100; 976106893; 42217512; 613929403; 858774041; 894803222; 724168447; 657443080; 8549236; 978124950; 120661605; 807395005; 672062728; 709755617; 261193647; 296548783; 203123004; 504684198; 334158949; 864028422; 553033197; 521966681; 755842938; 40405558; 249566408; 956040895; 301564371; 711247279; 973468664; 195023617; 826941170; 626914912; 150502118; 734858361; 848662108; 971330240; 640882190; 112871512; 648790913; 615987317; 50702464; 530775375; 477931469; 707875726; 893731086; 178075012; 165545679; 642285660; 388651697; 438300870; 236067937; 56816092; 785397543; 443965139; 989269367; 616277246; 75278980; 126532845; 926765690; 626462706; 598311855; 869233220; 853131085; 804389425; 656688688; 109817009; 600432081; 599560689; 434330119; 779358934; 295525051; 920579721; 30995226; 16916323; 474383938; 800516684; 357607748; 224956907; 539294734; 269766333; 924926124; 289684125; 721706655; 592687393; 262491814; 620485728; 986498372; 811342203; 942261199; 521214733; 810647242; 674064415; 818029961; 595677740; 311547868; 923030159; 351456885; 688740836; 774014713; 797582285; 478247387; 591340244; 755418935; 897657197; 506693486; 582265111; 559838698; 654491284; 434276207; 798263097; 321536352; 902745552; 81909663; 936937521; 259355636; 448503640; 457740945; 357035933; 692526813; 987694171; 534600756; 960623936; 115888894; 142863996; 449635102; 627842560; 435103563; 474934184; 760437029; 230260823; 806614654; 807708581; 110411393; 745384073; 933731448; 369646761; 48531489; 931146132; 775640600; 267345028; 748291616; 154764042; 375562743; 241470447; 383894039; 400338625; 29903072; 812454682; 148278695; 364175193; 798776791; 287827740; 334542537; 593396647; 905932382; 457747836; 962155740; 164515226; 499299774; 10015436; 245931565; 574006352; 467196920; 768901285; 37760066; 97072574; 521029010; 373748848; 821454127; 875240346; 245342105; 63575657; 474122588; 121214152; 868235779; 657183686; 636770791; 769344889; 250421193; 141349788; 765707389; 128158924; 612234819; 818397609; 24511623; 822562094; 440456789; 895510955; 9852750; 272556396; 134687882; 291163696; 699958793; 403743063; 582033450; 778734654; 855697418; 822636123; 559309785; 613673088; 530519247; 361042535; 654444923; 385904039; 813297910; 327235979; 663838153; 862197552; 76449585; 746779492; 595223212; 915070646; 292723065; 290775395; 136050207; 460140376; 573988458; 187493232; 902871375; 376997800; 499235627; 385152915; 103668745; 430454858; 657863577; 871647105; 820996673; 152039939; 195987833; 850759059; 103425373; 28922318; 782340232; 86388842; 394632127; 639789004; 445875127; 317388769; 901144152; 382517655; 232949995; 601269323; 15122119; 602635409; 78252711; 928822088; 202016537; 633082032; 759458272; 594645445; 356842775; 448984395; 632264083; 506098044; 799766645; 609019447; 436875542; 11462047; 450733516; 388540604; 829753356; 656089699; 31084687; 144536964; 443874235; 340787093; 935330707; 603735350; 910810757; 168344420; 726527562; 171976590; 59046835; 406506808; 525606008; 506691831; 716383001; 538170404; 413143454; 213388101; 98247690; 992759579; 490271333; 918411787; 526374372; 940147736; 766306993; 713206084; 743670964; 750412230; 277621893; 344601845; 366514256; 997462810; 256359791; 734856725; 888005153; 719730498; 120070092; 688612218; 84080888; 424060456; 898273861; 489469483; 752240169; 186313744; 68568845; 262165198; 53938886; 720316277; 409102370; 565431354; 394532930; 148940016; 655242533; 929726820; 41376044; 147170680; 528204629; 154595305; 382545790; 372671388; 857192753; 157354419; 805913869; 356679461; 137117749; 954324332; 633788176; 890445467; 966729177; 310954147; 833773720; 385693265; 352529007; 618213465; 555662053; 955972217; 883118486; 110340268; 38034790; 505708672; 492246932; 506276202; 919693487; 466178246; 189215483; 524639535; 463247069; 337810951; 537479891; 966961776; 40780969; 37336322; 584694795; 72893337; 496182853; 869752069; 788278183; 970657378; 702029676; 629773316; 363278252; 433079866; 897744332; 558940849; 922387927; 279017001; 431411072; 308011163; 497512105; 837328666; 931283917; 518541395; 945170885; 707387622; 944479722; 17919600; 676711445; 808533238; 917457309; 207936015; 386391548; 937017153; 167137303; 165274266; 354649645; 380128564; 84517066; 61768415; 590658030; 591665903; 142058042; 846153906; 396890871; 598712122; 421092537; 263014535; 983425634; 236845330; 440640793; 234615804; 439856261; 665496335; 950727179; 692405443; 380543272; 537250421; 31996142; 275088422; 537353452; 656240893; 969985886; 906230904; 245803351; 306937369; 521679754; 44300624; 35528998; 685932336; 179382193; 14347865; 593127450; 697491830; 99425465; 611447134; 425919262; 899351158; 608115415; 236959650; 768071992; 956428306; 334818441; 751663353; 158841298; 734432078; 819525906; 888504659; 900381749; 777540623; 217224703; 104447426; 116054724; 227342584; 46276759; 913151203; 497687583; 677403; 160302570; 768080248; 127776183; 28797918; 116240180; 301356089; 460336715; 78527329; 524578260; 692812458; 121250876; 568173438; 738156583; 233522775; 599987478; 820907947; 799060974; 838910971; 30140179; 918448559; 849500990; 113528562; 374797795; 695655578; 746918688; 385732829; 910338706; 249915200; 30394365; 626664496; 11659149; 457890061; 740736119; 407306161; 265813560; 598145488; 562342082; 816786296; 851418824; 154915299; 228344323; 808184250; 56838203; 705213790; 326212626; 422325556; 22950164; 677703694; 3019282; 451457497; 974158612; 408762295; 784694852; 712255448; 299676204; 924756691; 728134740; 642135287; 210597931; 883124389; 924965957; 783258697; 71595694; 727250118; 467148416; 125740707; 479113347; 316869714; 30717866; 982118842; 489343847; 977044589; 119090510; 307708818; 625696004; 23530062; 443996739; 162687358; 659550591; 710837783; 878025368; 188719872; 637595529; 528842839; 192714305; 937200855; 540728922; 673050154; 734087360; 325145565; 784736664; 579582576; 763008528; 373032337; 578043323; 599812887; 325340862; 274066433; 31308094; 129362893; 858883932; 344683035; 587516760; 53228499; 383013525; 120737840; 487736954; 695690415; 119606250; 588458258; 408950274; 749944463; 622718322; 461477205; 713612938; 174632056; 70299054; 591029812; 200768712; 805928948; 632231372; 564620915; 573507717; 226554701; 184473955; 399735244; 7223393; 949361599; 112776749; 410374285; 893618674; 908472643; 375269081; 134059671; 16600084; 861601781; 245690502; 464729641; 962046502; 445583539; 744829353; 506453651; 863520462; 56855334; 881706238; 950703026; 916537396; 261443106; 104913796; 290677616; 685782818; 874577268; 94710204; 299599267; 674519200; 346186234; 909969009; 235984718; 484795850; 578015525; 717635958; 232887365; 323462094; 521291367; 285207051; 278346037; 953498883; 883504890; 616006254; 203669814; 531358179; 855634523; 235025580; 705131314; 246123860; 240663489; 350951470; 38681221; 770100540; 133258713; 802526501; 387935237; 615222342; 875499077; 845947402; 485291492; 43618225; 401321593; 853793018; 208479109; 790935798; 511665169; 56664604; 363864836; 267890696; 274599221; 582653669; 585416240; 126508837; 367025832; 274113841; 673064395; 714186880; 688936050; 89279536; 267119390; 542822265; 106001723; 30662879; 769586747; 886480502; 440506889; 911833553; 300723781; 78486651; 831809276; 128510119; 431851907; 289528963; 138644244; 757891627; 648566083; 295045003; 293589568; 88629454; 304933013; 521221527; 446040659; 97129190; 329619277; 372011983; 486349528; 928180901; 259454053; 371389147; 495444298; 474558742; 420543219; 767700737; 280369292; 331061750; 460939722; 106672120; 43620907; 548248447; 102628085; 497380929; 865733651; 114849146; 572758714; 13577351; 975629584; 29523472; 883077939; 158868632; 300722618; 685460150; 986158379; 47564819; 139705909; 939469952; 362391155; 464598163; 79363692; 983580727; 351350179; 307674682; 386970754; 245108838; 50234617; 235068712; 509594566; 258167014; 596064130; 828050299; 491944781; 460041950; 839141334; 856806323; 665188007; 623432512; 869189487; 97842526; 943622895; 324381850; 640036930; 835397391; 209892214; 758033562; 470769723; 726013237; 900063986; 106894372; 906893238; 120825864; 836945311; 981549454; 428904988; 929308913; 291702381; 756338381; 309548644; 812450990; 504109998; 810125681; 653369839; 272557886; 246887379; 713046433; 301325067; 639354785; 158503068; 459516842; 856074168; 878204054; 36557164; 360834290; 746496195; 222289435; 916750059; 929237605; 260534918; 454325284; 487492004; 367828863; 842001647; 913021341; 329741659; 789779145; 189750510; 977519230; 208409728; 767607703; 167659925; 855883328; 546580728; 58874333; 95628512; 81751841; 43801027; 244823849; 421706868; 689197966; 843929874; 812199386; 287995818; 875217883; 827259568; 24790200; 991884476; 541682905; 952531414; 96677249; 117916622; 883011830; 860020903; 847643064; 158521955; 205587302; 838529161; 162888620; 681789504; 664261695; 522810810; 998448385; 220613870; 308088518; 560054332; 178877802; 725840018; 456215807; 847476751; 238085923; 182248870; 985172964; 783711673; 361328101; 716461129; 477774976; 417413864; 373145342; 17150855; 43509979; 274627562; 554792502; 893356104; 559075715; 135343297; 873183618; 445273288; 569469879; 245873584; 363363981; 834943680; 347605172; 872968365; 527869044; 694815665; 153125420; 637355791; 896939249; 915728807; 27444900; 922033563; 921855882; 277301690; 575481005; 162153756; 163853329; 481201045; 296155141; 756457708; 901060185; 195675794; 217936692; 364493024; 61434761; 131126362; 870470561; 189890544; 641774036; 46517980; 119321179; 596736714; 228459721; 485118487; 242049107; 126196134; 32531433; 103725996; 301048872; 349849034; 564862110; 620500446; 324710666; 795335813; 335956172; 267308978; 828861281; 142996589; 498222481; 547238399; 635896867; 677138856; 470748401; 733404382; 351376008; 72515190; 207772873; 11343098; 808023433; 29443396; 58826960; 796825727; 717225597; 439769447; 995125173; 356683897; 194635318; 373718443; 605798583; 727624925; 783191294; 489409286; 201492433; 57641990; 359569956; 819104147; 795664636; 740950742; 168674752; 589488128; 324083733; 300024243; 40737812; 324882906; 856273590; 303522106; 279567373; 945909377; 459488216; 930067298; 179099437; 519374885; 454963991; 42420956; 4116859; 150911745; 227226597; 109139706; 7815158; 196679091; 415587897; 38659132; 760895434; 492302112; 704190548; 281591460; 209294963; 227692270; 821198676; 57634937; 903870702; 659928947; 835732760; 914797490; 346688632; 377931500; 611022676; 985773875; 556835727; 339897172; 337649660; 595569966; 512647760; 135836986; 11332383; 613223796; 527161435; 45621716; 614596364; 49358072; 28683833; 666541122; 536325044; 584664389; 788706559; 862532560; 953836857; 105542615; 373555542; 546021439; 320088626; 357621387; 721822377; 509490610; 4655898; 350200894; 619829527; 347366158; 363249662; 325973020; 237572053; 692304724; 392515816; 378416444; 290118225; 331539116; 19414523; 860198111; 213598105; 382821394; 166131399; 802371177; 889486248; 77770993; 757710861; 604427207; 217662356; 563923889; 250179316; 463331004; 862648688; 992102944; 401720281; 886658212; 837987806; 389899420; 979199859; 912228151; 439592991; 976916863; 290338806; 20799983; 748502383; 516549738; 392822307; 959251502; 563914876; 27804247; 601967916; 191681303; 656937990; 572403566; 609540232; 460549032; 922052607; 742389113; 21936845; 349384935; 369088395; 723455024; 624095854; 1548430; 445489511; 167368520; 171770706; 470689207; 565227397; 876667933; 400411412; 261403578; 910898248; 286515389; 529835068; 203212658; 614341299; 702872967; 430053176; 466525560; 777878215; 702374103; 3552794; 450204238; 409424013; 318329091; 585753290; 624938707; 164615625; 892558739; 191440483; 230013644; 238478488; 887700280; 196584505; 305769421; 871828410; 452397650; 807127006; 922629372; 358374057; 406265301; 605644411; 75912524; 764739132; 85265969; 649468760; 196462725; 346689357; 510109176; 528901219; 286585575; 293637695; 811302582; 59101614; 151261439; 519095850; 517050524; 631334846; 321108636; 811812759; 971527098; 253910835; 879838626; 549502188; 332946901; 79450967; 631296297; 215362527; 133913156; 586116961; 35623089; 6024214; 860829666; 788776454; 653907395; 319791400; 67022274; 552505054; 770741595; 126233765; 631889696; 480950716; 83249555; 694782335; 140907420; 470477761; 765136424; 448442267; 785993506; 200578581; 541679080; 198635730; 858305701; 891628985; 9659826; 504988026; 237424774; 915796033; 968038032; 524380001; 178565496; 901052740; 822719558; 231809940; 41917432; 519930668; 356960129; 300100539; 847010947; 990655534; 728983782; 172274615; 78468174; 677328424; 544689510; 19005926; 337289194; 667148295; 951884869; 155948433; 497160816; 944560082; 401625931; 325055665; 137315653; 542071790; 209109143; 751042561; 415391277; 113640574; 887348413; 610991822; 252299863; 93116609; 330764788; 803510923; 655510523; 608614358; 818062223; 273329600; 527643819; 635117535; 633598212; 438163038; 242332743; 831973842; 780109612; 737231886; 315322639; 97508906; 881221045; 553387464; 713951774; 461824405; 480876614; 874963066; 878550508; 443920934; 695111174; 127376756; 914853982; 907424498; 184545145; 341996974; 245426177; 58183828; 515296442; 327538092; 217933694; 971113739; 407186971; 580291849; 377440843; 235769980; 295621144; 357611654; 554704196; 128406826; 829541491; 30466616; 257997904; 370532473; 618606756; 936771549; 204291158; 803781839; 897501949; 171434622; 673373600; 670559816; 694877963; 590720507; 902874117; 301883512; 518793197; 671124926; 881112596; 770848481; 315222975; 663104905; 494946600; 564388150; 97267561; 372154749; 518924991; 303964551; 900799306; 740035372; 142141013; 107527541; 848929095; 182848487; 655933176; 125702344; 675988092; 111165940; 495740814; 30373490; 815851093; 449922636; 64656239; 29149277; 26089487; 581809328; 226607355; 848085177; 705675331; 613417979; 16570140; 506886428; 123067839; 719629827; 795787423; 598606497; 967568991; 899243260; 271756892; 700371092; 25931308; 26198816; 403639769; 767167335; 602386321; 931084191; 88224520; 38415275; 926286667; 392131471; 910154934; 11075179; 420481914; 442483240; 72836359; 698547310; 246659535; 864027147; 791493809; 684809394; 76509389; 366254389; 34617774; 978992564; 626153707; 546072469; 591354578; 598519903; 761884761; 457777677; 212728064; 15849212; 4611980; 964254701; 82651506; 73732866; 392234076; 802150653; 487613192; 944103032; 816939389; 604559892; 759237854; 260730274; 35192643; 89055870; 386354938; 848264754; 946936969; 843111068; 323973969; 806719816; 980100423; 98463770; 758711925; 886799243; 164798552; 41698868; 436092096; 619210580; 667520407; 36451125; 909125133; 821657718; 238778562; 377235211; 721775411; 456509216; 462914427; 518197024; 88293058; 932114554; 313882095; 312733745; 872355533; 263949758; 388415784; 305435606; 28412617; 319533350; 94639747; 762587981; 666710679; 83859407; 542871024; 271967250; 148545220; 353831150; 791551191; 125862223; 362590246; 323977890; 115484677; 6019688; 512936262; 717014809; 82100506; 227961676; 557417753; 745246928; 68257842; 323017522; 773016783; 736077339; 12961891; 602649399; 731548317; 372838068; 846933162; 626671355; 210406311; 925337561; 665586888; 968626701; 892005616; 540728317; 413006333; 355656633; 966292243; 96435156; 973262840; 100999979; 600510043; 97821795; 170374302; 647660956; 539807106; 986717507; 293868082; 349696651; 819508671; 878619309; 944288454; 936523004; 309312441; 875997557; 749946495; 280640834; 87768712; 956114985; 166830175; 105132211; 95548008; 380955894; 387943747; 811540045; 336313080; 698082597; 498864752; 758019087; 832010724; 950082791; 629932730; 808475336; 860309916; 351071325; 238366065; 935296592; 3668412; 938311508; 126957413; 355047600; 865710883; 323900481; 288564082; 565191639; 935367477; 788689910; 870412611; 537639195; 698917985; 386072577; 7313761; 290860953; 515772543; 959855068; 954524664; 8862308; 798400357; 842800663; 917070356; 383651130; 577331904; 148484329; 17306149; 342813917; 614770534; 659286665; 874813984; 152177045; 554106801; 839284810; 962679130; 575789993; 8131636; 783866774; 841292657; 645148612; 91068980; 88645169; 558652560; 226906559; 527308124; 17465991; 430136063; 383516320; 869818047; 802266189; 76916045; 564826273; 532061275; 892516066; 89803371; 883444819; 929065932; 8616812; 359827101; 232999039; 693727481; 735243923; 435022588; 295275264; 728668698; 898155963; 963202554; 403847556; 230791474; 877819350; 905102345; 169769499; 213247503; 340177494; 90992303; 245947109; 109174818; 958638393; 121299546; 504449620; 234662785; 553987266; 341945512; 714565280; 175678558; 773193395; 1623139; 574660747; 103582682; 276429086; 346651444; 157839180; 617795120; 148651093; 593181423; 740330698; 209079550; 923937856; 12797567; 126162468; 886995713; 968604512; 740841017; 243020815; 700443436; 807296832; 194677922; 117711649; 732063259; 710693098; 832409885; 873537819; 297527157; 181688902; 152642064; 862941280; 292622165; 351047372; 64754880; 569426378; 190922132; 294760274; 470233271; 438504247; 993548254; 471454325; 901519269; 734319218; 349263348; 478176604; 866378393; 745053775; 744953362; 844854784; 615555932; 387129023; 294130679; 969627478; 805654692; 731743662; 124238449; 461513883; 868520111; 14919334; 94511310; 29032185; 731897651; 817953686; 256890004; 971008401; 514799272; 448367624; 650827652; 985024345; 52719299; 843465238; 658303241; 636499056; 996739013; 756494292; 680835804; 697655371; 718397989; 17550748; 355927579; 956916810; 890700805; 433984990; 473044896; 275985041; 445102639; 419200798; 524492877; 891046142; 907647773; 242056973; 483590826; 665978327; 121765916; 557719973; 533354486; 925365446; 226007661; 5332999; 423016141; 420580133; 102845040; 163149943; 873510515; 862420849; 97975506; 215978997; 220043430; 983523729; 753191373; 593980938; 839919307; 296370250; 375744665; 705022664; 775580516; 196876485; 76138266; 128175397; 945919836; 125457932; 426710260; 506214449; 727157848; 978595295; 545500007; 34203901; 797893775; 541670420; 737025198; 298445709; 871107063; 532855197; 224150596; 75475204; 272399715; 168726488; 207600990; 708753406; 561245500; 86712315; 727500531; 398510647; 524484692; 465521780; 953826676; 175745332; 401610474; 14579580; 529133310; 288533963; 833672219; 955018458; 81989640; 271138425; 674572195; 671535383; 235269731; 862448664; 504036447; 51621376; 945800535; 6476043; 573152709; 865440492; 719620781; 114688104; 809545526; 751817545; 742229461; 489481270; 33792834; 632890735; 505618866; 360285116; 386805994; 892462501; 104767598; 269078066; 514657557; 514708623; 996557048; 260494303; 814901967; 616156134; 118440104; 765734358; 428810034; 209563708; 447230756; 235021263; 14216783; 553730314; 288914882; 491057744; 339368314; 864577974; 528632241; 34812240; 243993642; 338103428; 312376520; 899321460; 590466953; 297501317; 688043276; 540565541; 124608341; 839758824; 356843605; 614184891; 317991766; 596635352; 286017058; 609109896; 480042853; 574436014; 58248051; 106942818; 996905257; 121309945; 225020857; 555435680; 30747136; 928718344; 708858781; 993885791; 170740655; 960711902; 291478121; 643450211; 829084170; 215798592; 857932810; 575576701; 113119216; 560521496; 409189838; 319393816; 585412307; 425194133; 27003322; 362523744; 729733417; 646102152; 423154308; 936374439; 146326580; 385979185; 103809860; 387008936; 464588824; 213104709; 684103624; 217825204; 797301245; 405360474; 802858892; 293486672; 873656470; 133576916; 120602821; 739294818; 528498865; 415758517; 326902787; 483636190; 119510556; 141534409; 665738013; 212909891; 517042878; 203094947; 983302662; 78187401; 31258488; 63921641; 56412730; 794006325; 52219410; 634469709; 425550343; 52666923; 4534842; 299751529; 678607400; 390982702; 935633177; 355940152; 678024050; 841649185; 218284022; 22301541; 226896557; 421813960; 420616579; 865697516; 56065528; 19821122; 508167721; 756024829; 546901121; 991034233; 176294376; 872175804; 482536733; 498987920; 59917598; 863370901; 511223228; 583465000; 613393262; 198814777; 487832434; 961546742; 547451709; 795944975; 829045542; 941328067; 248849396; 505256106; 138175580; 522429434; 449269580; 793883394; 113187057; 976117237; 783508721; 909115204; 470794726; 181649534; 573976775; 253646660; 781575941; 425942890; 109197689; 746517302; 789279569; 142003625; 424948020; 223550689; 645645272; 193586664; 27159457; 148296075; 275607365; 927524129; 412552829; 548980957; 935128069; 419780876; 852001130; 956430665; 48172800; 673549923; 941872796; 886985021; 609672461; 794695207; 671872035; 305772305; 234868324; 726864652; 931028418; 539788876; 867812158; 183927169; 75412063; 634636264; 924156982; 708803038; 496750268; 877334720; 477417514; 99420418; 857346448; 765923280; 804701617; 339488092; 61909880; 679469359; 126367090; 654494806; 751169726; 737175897; 166378801; 155035088; 17299194; 709331313; 308071141; 180738283; 793775583; 19684127; 19209381; 243515653; 930538119; 842710230; 17942610; 264680471; 506344209; 56980873; 210374721; 304759042; 746666873; 838257766; 839160696; 64688604; 95393123; 927580673; 550257677; 352497594; 790510488; 734295464; 854342993; 999610464; 620761083; 767742344; 235174184; 874773291; 624201581; 815080398; 188342840; 371842308; 939194113; 852928767; 652657499; 817369621; 614854964; 453203774; 551407712; 699096411; 705055547; 780781647; 321656814; 385862264; 85928873; 300692331; 678684351; 120011662; 735584336; 527690193; 790515950; 868669623; 603883528; 217466522; 855616916; 660196817; 845540867; 273499993; 254192723; 694358771; 666706615; 645763054; 286168359; 727300873; 532457391; 43003832; 170204350; 422518343; 947654308; 574167677; 645626117; 945607201; 542735900; 685320487; 366221387; 230529006; 409773422; 472875821; 709577376; 801032056; 740830868; 51538542; 469369696; 77406672; 813350152; 552968528; 673791239; 225229775; 205663862; 786688701; 176306956; 422243110; 527658493; 510568415; 682245454; 592406766; 847743954; 820578667; 830034912; 373970368; 806327924; 566529993; 516526444; 285312740; 886104424; 809905263; 623686604; 426659654; 645681381; 232945425; 68128278; 909176104; 161713788; 644253273; 588404918; 828240957; 150260697; 328749007; 476060571; 114600678; 135001089; 673140275; 365439013; 416424678; 644060071; 864787817; 613194722; 393923865; 866870978; 889793885; 861865710; 102915296; 256337588; 614063701; 767674342; 716229356; 150124209; 968811881; 564065141; 375653299; 527637992; 48686693; 150335930; 378745956; 212028729; 732050540; 862181103; 340083089; 414762063; 959842447; 833911605; 983332929; 353604631; 44366063; 687822279; 888168686; 238190510; 808831972; 563099313; 967871510; 845853609; 66208014; 36617996; 938833023; 222902138; 488301174; 692166263; 139693364; 205176816; 921771151; 930159289; 481391862; 557038577; 465332151; 482606905; 996701952; 66247429; 727031819; 311807070; 73660129; 111020327; 145266747; 240923858; 131613367; 302799568; 548838018; 876298265; 645908321; 964300742; 276266534; 621312810; 721784815; 500260074; 619281019; 683238664; 868776652; 707233888; 832531814; 280823841; 674502504; 90865619; 913683729; 842972115; 945967240; 926890243; 760838143; 655240474; 286670486; 514483584; 816190499; 666858598; 435379960; 313264412; 336667109; 373246507; 282413623; 442281779; 276295425; 267898608; 189406036; 599761947; 99047858; 804313191; 814305045; 967582946; 92553991; 965052562; 223541662; 133044252; 895188983; 43923505; 820256936; 8594043; 740168068; 492939924; 711099256; 218566894; 944813295; 424283290; 61327394; 626058633; 741515909; 712179036; 653967523; 715107228; 751981527; 3137913; 918542318; 725007031; 520858238; 69450244; 839892895; 155869144; 937976567; 39643643; 644910253; 868051409; 885568722; 393526762; 229483146; 70003895; 64860386; 887739113; 128700963; 758553273; 271566278; 816646492; 418291717; 944548856; 399782106; 831628998; 376708256; 812214926; 470034651; 31789836; 28807170; 374287928; 776560793; 764269717; 799733444; 748907506; 380034697; 895917184; 404831593; 183687816; 745952; 944191970; 509268923; 600980427; 5085298; 714547544; 382406660; 729990061; 155344396; 356028284; 149528194; 831015131; 674678123; 490489722; 430065616; 53570901; 482246653; 410184220; 334612217; 810601908; 828203049; 572410539; 527657403; 228224705; 214139651; 950886686; 314580937; 129067424; 589263987; 91603442; 775722452; 457016009; 534903576; 637161065; 719531877; 209424915; 208069716; 752095594; 903274913; 618476907; 243974664; 277212057; 76885468; 796375448; 974645489; 24556775; 285338503; 123154396; 551747290; 111568229; 46999531; 230863837; 587333606; 691557862; 481543386; 625537143; 790306826; 997033083; 954250167; 197159879; 406987481; 511246551; 794438953; 82295816; 106753047; 734799017; 664600551; 168249693; 167157596; 758413417; 519373845; 62559757; 703076654; 726147534; 654504152; 750182552; 5264990; 15922142; 917974257; 316831820; 443996663; 284087452; 844875327; 279146242; 417926613; 483629159; 383181748; 116237977; 408538347; 602146203; 961904220; 142700688; 562814588; 920263661; 718640522; 998173338; 809140976; 932469993; 572186583; 894547704; 156069635; 514345330; 772451942; 718237761; 801885816; 175146371; 61598703; 863247014; 605820245; 206981152; 68404201; 604116784; 641547639; 568741525; 536934066; 935590773; 23653388; 149106803; 548946924; 426149657; 326692408; 594743368; 695108009; 866838431; 301511561; 628519622; 805310959; 544911922; 57886393; 495120213; 812554999; 483002266; 463016315; 998417223; 666747464; 26515421; 301017550; 472342633; 333022634; 897247115; 978458544; 625752749; 950263734; 92310953; 754996106; 480528958; 27722696; 75653458; 159238529; 722627505; 609465531; 90252449; 322310944; 31642264; 131515499; 444705042; 649074604; 379237923; 132195596; 119998172; 828962578; 898593598; 273412104; 476024050; 4691744; 442569029; 849636847; 904622886; 955571047; 222935633; 168794944; 573115349; 741911696; 304202440; 936926723; 760321100; 575543903; 682718866; 400328710; 525289560; 822239178; 815183269; 817713730; 926901807; 32127581; 272993221; 298745498; 111813516; 360645676; 401403586; 644223332; 998249508; 31600255; 829507382; 816246621; 579917048; 130089293; 652837932; 920066782; 821334313; 90514469; 350411779; 400131314; 216197299; 863952707; 456280890; 560188289; 773206930; 148650077; 672029565; 585208908; 116431784; 685210989; 971178315; 240010842; 448516288; 16254123; 565203423; 110907214; 982732622; 902708667; 819433430; 230416152; 48752405; 465763617; 231065968; 500581465; 487572986; 718193419; 990965742; 953416798; 776457902; 143368707; 158913776; 466462100; 866263181; 515896352; 972975201; 684560309; 894291144; 338949867; 326373275; 123112646; 789189837; 581926181; 17732616; 851344473; 184711382; 461032758; 273594742; 571678423; 860215006; 724749278; 427702468; 82506316; 670945348; 827789646; 559117106; 401369614; 697218993; 667648338; 988268806; 947038199; 463646942; 546115687; 97510810; 99569623; 829736657; 103305674; 29229871; 550005752; 154579876; 744489439; 886664995; 386125615; 908051924; 19736711; 401271857; 604399556; 306617997; 364652507; 586968340; 781873588; 503104593; 488002539; 586410121; 768846050; 1568432; 818992504; 7660625; 224557192; 255343396; 767900074; 585557136; 306599221; 773730806; 73353819; 891720632; 50908631; 904627298; 855529184; 43126526; 968407908; 881762608; 559155108; 134192569; 280792979; 753461065; 900957975; 263234229; 44208724; 87645819; 655477151; 233967427; 407749621; 212623287; 478618156; 566917681; 792173789; 966169951; 840914823; 237786858; 926234103; 375473205; 910693978; 944084181; 45421831; 149547911; 38207073; 51686632; 614707792; 104856427; 425021309; 401633962; 94751769; 244941043; 750126923; 448097611; 623233884; 204095126; 507432378; 166202606; 122524828; 605197623; 776785850; 685650400; 331841512; 545711454; 714010478; 216636264; 984384218; 404488873; 54131301; 56062909; 306998960; 633046080; 276267690; 194603695; 472147326; 15185984; 628611355; 277440106; 590285907; 875651847; 974237284; 719676543; 174143026; 518017108; 726801932; 944456157; 989133564; 798939736; 769985371; 82041569; 441256904; 210350810; 521474088; 734098578; 435775015; 689526258; 736890258; 565145607; 49857634; 267134755; 717545579; 739822624; 281879211; 530606124; 730607789; 168727429; 97834024; 337856638; 363074111; 861213638; 904341948; 261635739; 932107255; 30452938; 48409254; 297354743; 162103906; 454598914; 34186374; 408835788; 705307603; 337552519; 321641288; 241277747; 369379670; 567396904; 134986305; 695314153; 404110092; 754917643; 790827746; 535059301; 889740079; 589446825; 90604502; 556159162; 668176069; 896513407; 391987402; 238172319; 435834827; 43391744; 973969804; 48416097; 358944138; 509782945; 139625456; 559444596; 883900479; 834792492; 682790324; 802552884; 829648362; 352517731; 788207221; 899858942; 134819556; 621650791; 412441163; 915063643; 887548612; 411437797; 120317155; 796662395; 425994519; 936900104; 227353806; 720744740; 17266916; 169285698; 752787598; 848679353; 112364338; 401141318; 733764168; 55858987; 103004765; 39944461; 54906123; 205273841; 973602612; 942819055; 61825655; 93301826; 485952105; 164406926; 845223727; 679506763; 391680125; 554553421; 571657240; 73595615; 122757790; 354157299; 150688560; 276376243; 523638912; 810520648; 476866392; 904314344; 38053179; 210873598; 603618974; 438570548; 142469442; 290568677; 893005246; 49567424; 617727696; 521610602; 618011574; 638420441; 341063479; 96294263; 796185533; 709721583; 798283654; 312405541; 138995958; 709272470; 798006148; 987699783; 325398884; 511675272; 590142503; 774432085; 10148820; 406562717; 183971506; 874279690; 19464947; 948277442; 568139416; 943667805; 574992148; 991268467; 236753669; 637636823; 43640085; 583717194; 972092724; 295279743; 61260554; 763512092; 581909167; 163217939; 148941335; 126166204; 150916561; 381711653; 538618169; 546746730; 952017771; 513459929; 431201762; 89528089; 8548438; 559853679; 94887378; 927744167; 71653291; 740173671; 32063491; 312321850; 57973410; 991679818; 839392567; 898612627; 834553983; 436369257; 644991453; 832386995; 938693234; 699894228; 14206193; 658850009; 432583042; 325336156; 2017106; 366384796; 260300826; 60919533; 993052492; 794683065; 918075298; 205580301; 951019619; 975593477; 265482399; 969456666; 57956716; 792598880; 563455480; 436192097; 690520685; 582618554; 260757957; 134367008; 955407464; 812663967; 783729153; 580231398; 81835895; 430821380; 943755880; 741126943; 374756490; 398723405; 453215474; 248946356; 45483650; 43835542; 870458881; 713282757; 235785518; 531230255; 661933192; 252727748; 70146922; 118156690; 987210600; 141993235; 601468995; 889008403; 636986991; 298595624; 419355583; 178200335; 674820236; 160936623; 884847754; 935220425; 501174492; 659575282; 756210355; 149812858; 595788790; 874684823; 47211140; 320735117; 793610159; 675011797; 394652841; 44857752; 722438102; 986969957; 103850695; 301225586; 654151211; 234011728; 259958319; 295080655; 136706538; 452785692; 481021383; 115520790; 365727621; 997088003; 45071623; 841714903; 787060319; 364843656; 195461527; 827127026; 459147883; 651183239; 118368451; 246920127; 317715813; 874385144; 544755707; 305642648; 505495417; 840161332; 698450842; 361262978; 121252920; 338092984; 633814892; 901076050; 74831546; 335399023; 74856230; 12453937; 904123315; 644357029; 186796279; 456160770; 243611970; 657494820; 400279817; 482387450; 975726499; 429259375; 832238962; 612281269; 598269967; 296854634; 644151908; 763334758; 569677954; 592901958; 608758975; 51813314; 873120703; 907643013; 603557405; 731284175; 314622742; 609236123; 608679428; 319463638; 175281955; 596859643; 644970081; 444844174; 316948019; 820327300; 843869552; 567108503; 776242629; 450280760; 949250668; 670853958; 582014473; 831968209; 190593455; 974535914; 647543843; 671463718; 532563503; 431820998; 146460320; 206291638; 515928881; 862361568; 896724018; 982747716; 938051336; 403604782; 256805610; 104749047; 538276656; 911456011; 975368893; 401643676; 569543605; 967727735; 545979119; 455271450; 85200834; 33816116; 290436955; 213806573; 821784743; 437644754; 394187563; 108117940; 63496517; 512403146; 80411999; 505262537; 622606409; 217765854; 766050030; 285790230; 959204863; 187333399; 753169501; 141271239; 389520933; 462335941; 980801386; 180291396; 655802756; 947183562; 94889144; 274831586; 131095571; 109003229; 813827549; 721217896; 161108571; 314621071; 492343666; 876114107; 73636738; 589095043; 924972392; 197631930; 899162227; 282358044; 929309417; 254890528; 245900069; 656489844; 665046564; 217247169; 359675751; 177277125; 450598091; 983506699; 330382298; 913886350; 493957722; 45481941; 384019839; 882682410; 502017352; 462995930; 957857740; 852788741; 418426246; 608130514; 273922584; 356220908; 813611614; 214487950; 741091149; 869773729; 893380408; 46781772; 559460274; 395363551; 197874410; 101478046; 389423897; 343649548; 944120608; 315190705; 786339034; 439198290; 589460741; 789166110; 313079000; 673711264; 747451599; 914912580; 541357844; 991159504; 615465879; 275506511; 448689159; 978279083; 835259544; 543999257; 24687318; 908666056; 279332005; 729723883; 516302641; 605964459; 705159115; 663261779; 384831929; 434184409; 531735619; 785367151; 557881968; 357603987; 891126518; 598032362; 31055738; 97820923; 924133545; 815336238; 561488901; 56097497; 122139263; 749523833; 59884775; 341755541; 866095435; 315464137; 77598137; 174502776; 189203630; 602987773; 205920893; 17429446; 179025913; 502496808; 153120931; 752291006; 447186540; 487138560; 948921569; 291680212; 253600639; 90395214; 289067518; 451101410; 547791463; 421063291; 969595279; 306175125; 406763569; 864735434; 982483727; 599590376; 217680334; 901167557; 585216014; 786244347; 160480052; 422615502; 99387364; 762112403; 374864743; 848003242; 77602407; 178270711; 396222631; 971761615; 177748879; 348161389; 802983027; 11913253; 493651836; 868344718; 90877235; 129660921; 627492804; 73371451; 983441681; 298122262; 8152844; 979818347; 307882985; 895089115; 771679146; 808414486; 407457050; 503285195; 614840972; 342929459; 549965672; 344996240; 87238266; 35458675; 714809930; 605169889; 682626401; 776540511; 551156960; 691351312; 962295238; 626221321; 863972724; 29278597; 468457304; 749753627; 147711730; 509893903; 94810845; 211621586; 721567103; 901058636; 654172457; 401715456; 545843713; 317460982; 192680383; 791897081; 564178132; 790014838; 100757419; 680995064; 812719090; 961552685; 613357458; 64763884; 576092755; 358580603; 470939552; 675202461; 451306154; 999876339; 119171633; 533613119; 987008322; 449507825; 740047442; 181868530; 869945832; 369019657; 920946484; 635280211; 804018697; 500679846; 745537736; 425306021; 152897328; 202841691; 366797627; 825436644; 687363010; 734577782; 444621678; 776494496; 16083514; 745337355; 188924033; 348598556; 827908871; 115309849; 710269220; 297687841; 924756512; 823131383; 249303202; 734208123; 444912918; 59554789; 84223398; 688585079; 62200453; 842083359; 980049132; 290993973; 245471651; 753578616; 172063049; 987348048; 489423523; 368975402; 159457570; 687922523; 675862684; 288947500; 358855219; 71303348; 810512326; 197915930; 953536947; 36401469; 199196430; 967892885; 963818708; 405115570; 407802255; 399521244; 921808441; 728531559; 394930638; 721154429; 93797015; 39687564; 136828780; 316138329; 663225070; 391522423; 319873735; 692864702; 997173652; 232296279; 259435829; 98585663; 646637451; 139095057; 868684859; 964603089; 608595472; 459641968; 130988088; 246045199; 644587559; 456320423; 924917484; 881886535; 43361075; 150343412; 686888672; 232192739; 265414421; 250488334; 783410977; 978691742; 288922073; 503694916; 229737611; 479789616; 70285402; 936475020; 774343921; 17274824; 226108933; 788431057; 397799784; 192540886; 105930664; 731417747; 254553082; 720291425; 596464526; 511360628; 553006632; 297268702; 886853745; 941920279; 380472650; 504978217; 58298503; 355176448; 923418073; 387687218; 676698940; 157599566; 365999746; 437213782; 496873955; 401710291; 233551650; 16975153; 523933492; 749021060; 784273253; 519291477; 343687585; 93830913; 776999815; 659438029; 947046894; 578309902; 111728011; 667415000; 357582665; 558883773; 830776375; 333849278; 721722182; 703540756; 898570374; 617124387; 310787083; 774334607; 772413005; 794459560; 595783345; 895633763; 34416355; 409114322; 915035757; 316654196; 772560011; 949583102; 974102427; 395781286; 990743938; 147323388; 400043070; 349311507; 921454242; 474764869; 437229296; 304901550; 693151514; 326086363; 253675125; 244932862; 842929624; 13282319; 475239205; 90848049; 373719392; 560711086; 183781342; 271831595; 409396200; 389511672; 462623986; 726496289; 709349406; 958355389; 74189009; 845300554; 58675752; 352831574; 864587334; 115366442; 609513971; 934845243; 35643750; 885915528; 911273591; 816954089; 437247942; 930241408; 170933878; 20604308; 650123995; 709383080; 482773516; 283646983; 373432115; 904676107; 444534127; 531094891; 43995747; 157281359; 169239209; 604056518; 278049886; 132660973; 439015261; 287551777; 54818071; 415686787; 218330469; 377529158; 839957254; 862102121; 151043944; 674950136; 483167665; 849126797; 241481054; 922737226; 784746057; 614746993; 396043846; 834335070; 604554326; 730756514; 385495111; 674377389; 956379977; 618305763; 337785935; 715440644; 476972793; 802308420; 428149247; 887740980; 368144840; 85353542; 249523063; 276382215; 976332091; 98153276; 494916727; 946366131; 344065388; 72009121; 929805104; 80873833; 320602429; 919267454; 470275413; 140854826; 822495941; 817491610; 666985383; 284740209; 18716842; 209938324; 696184993; 236965932; 578667392; 506509357; 785204807; 846699167; 767665314; 394963136; 334413827; 368171370; 482615567; 737658627; 117552309; 76450895; 445157856; 340498158; 65574130; 448058823; 315729914; 979556668; 14630130; 904904952; 44172352; 458335033; 504051238; 854000915; 662700933; 281384055; 506081984; 503903839; 145261992; 151445689; 927469417; 528118494; 88281267; 894116944; 115807196; 124927351; 729722350; 277392278; 98191301; 327349936; 142566864; 254881259; 874156992; 403161705; 989767753; 552612175; 40427362; 527620265; 89550006; 538429069; 247953851; 183931256; 510305736; 958715645; 27694868; 869051946; 312870119; 856399506; 400740567; 890945059; 733473860; 603796796; 808286810; 969246206; 868976883; 912387714; 519024913; 539864705; 412882258; 889747215; 272563010; 198088245; 308093706; 680768634; 772158495; 978812588; 280637011; 282555321; 869870544; 318271157; 856221828; 216451469; 595255797; 376782223; 684968008; 759816298; 144167171; 574205142; 929047629; 355330925; 302416213; 469724939; 947829143; 276146311; 763306375; 460726273; 737494178; 638825071; 785539555; 710083490; 882370261; 346455611; 471854852; 335361979; 136826708; 435103126; 844328474; 868180702; 220022580; 257223934; 677936320; 14671391; 813270396; 15710393; 919057131; 752304937; 822014627; 407790228; 760568240; 185970632; 760380959; 949184336; 268453583; 642531661; 968139014; 169211546; 611416364; 354863554; 210214008; 701285014; 617848206; 287025237; 5318640; 124590067; 766913767; 331985859; 780854872; 627796985; 898425314; 186695148; 865405493; 751346933; 762588586; 904982268; 51115700; 192568706; 29132853; 715023727; 28570065; 81358613; 343701056; 898252970; 576704912; 741378426; 203033417; 671063232; 785526687; 888065902; 321377600; 627763203; 981446803; 96120970; 479938043; 987141460; 943224019; 512366250; 852714074; 379899980; 107071413; 530507645; 55300908; 597823255; 892858167; 297502490; 550517556; 984755957; 981917255; 138022217; 337271484; 949808621; 24650377; 387718345; 469310635; 305953421; 188264951; 968642843; 132467493; 418745577; 889150904; 84258153; 95161213; 443494753; 595902024; 891001573; 517428278; 831384917; 91626797; 253675083; 963101964; 780726771; 800360336; 178014068; 709308416; 949425695; 640714251; 207550165; 707897245; 974917586; 594823928; 905138312; 837108710; 683557234; 652273201; 367851126; 316971601; 303069439; 432162576; 199290590; 619667187; 726805345; 679128959; 912269828; 96268891; 746215224; 516526659; 175743768; 875196862; 690086086; 252201484; 566388019; 782882236; 137075038; 321711624; 512419296; 650204411; 307762804; 965121313; 438651448; 336839422; 185351177; 960778884; 340651733; 835682389; 928222948; 429260244; 78806605; 537362978; 554855102; 781171816; 419601749; 491924074; 297878948; 914319951; 76966368; 461638852; 442909041; 234435927; 415528462; 893342427; 453624218; 105704223; 762344355; 845418225; 270554669; 232123815; 51115109; 718049547; 67851399; 616049285; 784732421; 927185976; 9577156; 474627485; 326528843; 231403147; 774274924; 382524038; 308271310; 33445745; 139727837; 248085934; 77457391; 322849257; 976383339; 813849395; 899322820; 874679746; 110835574; 344643414; 358754932; 371434302; 821388655; 260605552; 442620237; 951610963; 450332860; 176779883; 111867346; 892903248; 498764257; 694953669; 792857581; 628229355; 562994707; 66497461; 106298323; 278122870; 572593785; 436870733; 572721622; 668881828; 180107548; 766075694; 385441364; 112918300; 423982389; 447523912; 96187471; 616701601; 514933772; 9400477; 924143705; 295995027; 469623814; 121473651; 76135021; 176985357; 723696159; 315783421; 337462972; 699565982; 96321467; 230026055; 608942560; 454013562; 37328281; 6226158; 543175927; 547927152; 669055477; 732078064; 327975341; 242118642; 379383347; 115307271; 62547668; 386037581; 847848534; 368133106; 301811262; 815159943; 650874510; 6610665; 932848416; 410932843; 207289493; 793566364; 886005647; 811797370; 989840316; 440796671; 382278245; 660790301; 149691151; 262630483; 983936200; 10160859; 818574610; 636152082; 599839463; 253176246; 473472964; 658581596; 330045502; 392216654; 722130960; 220274359; 371833359; 132544099; 984208176; 798416404; 198180975; 965268905; 661821990; 295530165; 673940949; 577071104; 591967766; 928931597; 367242190; 637987145; 772524160; 251621324; 934126591; 403672712; 25954882; 76598895; 875234480; 10365108; 709232600; 327839019; 656747799; 688629858; 740532162; 584034555; 985067624; 268909441; 301879935; 140291245; 480677240; 196547519; 436136950; 644334751; 556210480; 905776854; 812831078; 262066944; 143805656; 670802242; 694411898; 923983490; 51135633; 750844230; 216591495; 183212770; 603734896; 535985853; 48308319; 440033330; 809099784; 857589810; 981197910; 207525349; 829985644; 146687324; 626187141; 577517817; 972689526; 640729464; 130861076; 999302083; 514062771; 190821441; 212862011; 246813141; 369451481; 914550944; 47567079; 821062161; 166021817; 970546084; 812627705; 279084238; 676490359; 947722702; 351408433; 361154436; 937109077; 91923324; 166334042; 889787831; 253730049; 989911782; 928913374; 940956891; 685223932; 61699272; 797638545; 333640474; 432637638; 787687668; 553225501; 880890464; 885696854; 397606740; 829426099; 819792404; 531716641; 483221066; 865402521; 911765533; 449904398; 847733500; 138465491; 85569405; 28288348; 285394937; 170342054; 895089897; 939936556; 120732502; 440061965; 421660926; 456095193; 15897264; 470313662; 185697389; 574287421; 461787190; 860090592; 686290821; 303183329; 891117920; 944586299; 438954930; 503368482; 82563807; 130517307; 846457859; 880407011; 822314222; 302055157; 159486794; 695093537; 145461483; 481075175; 801479217; 834691539; 20538128; 193200153; 678420992; 295503949; 138039823; 196614693; 555531364; 250330811; 811372081; 760591746; 303014091; 500619917; 311709537; 278891613; 601935342; 963263444; 900190846; 771612218; 822436847; 647037262; 587952537; 696933423; 968346167; 259615459; 983735163; 936253262; 545826338; 697939069; 831467829; 244571288; 714137746; 568661112; 940668198; 944679119; 923366414; 468992775; 603841188; 23988697; 358820016; 395550064; 69504218; 87171965; 721760467; 751764017; 648693369; 432636867; 943043743; 600405146; 706927965; 67381461; 487260800; 381405647; 760188543; 293613717; 846662087; 85055359; 159800756; 997510607; 910355503; 185908729; 775202980; 992227391; 609527152; 496299628; 584513719; 507829193; 338835407; 888227410; 654941591; 808315709; 944770255; 861394266; 979652018; 816533438; 781289530; 644939830; 681921615; 249490102; 78477911; 679545200; 559417025; 840463968; 488779434; 923382244; 619971862; 555872294; 54032763; 196126575; 700415450; 694612797; 21377429; 389852150; 581927608; 366910142; 995476030; 220549731; 603850177; 555291635; 828132043; 434126545; 259773337; 336451282; 75973494; 829458445; 725794027; 871439186; 905841179; 975078434; 547054908; 944789768; 705411467; 986497922; 802074382; 876881151; 335581922; 348663554; 861956468; 152419514; 143997610; 745448980; 104532376; 157461435; 834253089; 611899538; 794195452; 464804029; 443749517; 34193413; 489623521; 230260220; 159092739; 291906959; 430301064; 957817843; 960741374; 767218762; 512759558; 539041532; 383892026; 542183075; 96505862; 614081703; 142566740; 562194765; 113784384; 12529021; 607132482; 15151804; 964577886; 886198175; 389771128; 586455776; 989436403; 352964607; 177131479; 521161974; 874807813; 139466017; 83627168; 819880164; 869055942; 282924254; 204313095; 945273561; 359126467; 597693132; 925975971; 686693026; 538571049; 46412789; 864626821; 548864691; 667003151; 293927924; 148604970; 772885730; 563538268; 550496729; 415766291; 987145060; 897006840; 323346684; 395995531; 517987997; 303300453; 790154721; 909626644; 540196536; 100810964; 925326678; 506377382; 610316070; 985987989; 607131854; 931495812; 570215717; 458244077; 994460092; 271883382; 730940026; 944244720; 482331242; 371730676; 887369551; 927279438; 249736161; 584237821; 448804101; 993074467; 150406190; 932722509; 969701251; 657216141; 188361118; 75540944; 932319092; 461985603; 953238763; 299938175; 747565366; 781736600; 326127811; 493624139; 992531689; 742789451; 382192287; 966395750; 389082114; 750089157; 156525144; 299222615; 42879007; 290637483; 231691017; 586334906; 897987801; 681812492; 720030171; 891086281; 183470388; 264226255; 85234670; 639142651; 989692943; 511944157; 534325709; 125728565; 638052388; 234604890; 810104329; 786068194; 678424485; 207548671; 317508662; 112290165; 640278950; 382789498; 316893425; 861480667; 579393553; 423945170; 573192301; 232019063; 134873293; 577950646; 559426174; 712291603; 805205627; 968348071; 196249838; 11273598; 900890342; 852607553; 2092480; 511080642; 177240960; 41991025; 282019292; 702635969; 156040542; 479734814; 828870412; 278764113; 327364761; 206616556; 656772247; 548974322; 315074308; 540039087; 35209794; 33385118; 377659826; 324094692; 936911919; 562528769; 699014555; 310802219; 909291484; 692358284; 29976384; 445452689; 509044045; 620488420; 891110788; 815666156; 475347377; 893716856; 404254587; 204196159; 281162520; 236110427; 261210854; 166025111; 665028857; 858260367; 890803065; 541040632; 450196625; 318551951; 118420016; 295310347; 177489350; 327999170; 989086722; 406245948; 782584111; 187896846; 235470538; 478932399; 858380152; 65838457; 761915555; 454489758; 741023771; 401844800; 444908818; 748349166; 591227847; 954570155; 618853600; 724592979; 799570103; 841809436; 255002747; 222938470; 429579245; 655928815; 262239002; 597595484; 239416391; 228709147; 736776686; 892520131; 145269129; 889161014; 679683110; 934710844; 479917953; 389543161; 629265212; 28883113; 191025099; 543313312; 185575710; 444350106; 55229428; 267468801; 768868101; 980227238; 873235713; 723785255; 778035336; 78274878; 65447628; 347440985; 70670310; 245695741; 421176432; 649648427; 452988508; 987329629; 181368479; 649612571; 864339977; 8286834; 697277444; 27550235; 884508029; 626700206; 132808698; 668176243; 787300225; 54307772; 130167509; 298539950; 57011203; 445804423; 836948877; 699275234; 985715863; 879774960; 484377972; 687853990; 554657569; 643786802; 551904098; 785717044; 912231894; 640923634; 617072265; 277974177; 470978826; 585705441; 980293258; 111951931; 637579820; 668727514; 262455814; 580261118; 387068369; 128241831; 184198682; 78218521; 931004966; 420962546; 843515939; 317665992; 613204656; 307289048; 840385811; 193262438; 61324030; 372605339; 298049913; 198586775; 73066831; 86584475; 770145539; 109594817; 768928559; 647747021; 731904339; 382809585; 552383279; 674200106; 254398644; 200568701; 717108682; 210484212; 17324687; 255153733; 245606011; 817820092; 647664186; 443138215; 358615268; 280346724; 978355719; 41966747; 307605659; 809043273; 892483853; 47957799; 642788996; 95780706; 350936185; 968613140; 246099476; 61121081; 23470314; 597565214; 134959753; 445583888; 973575203; 259914712; 415871824; 190481887; 660058837; 611189687; 430885489; 137973310; 209146025; 895140823; 748549999; 133294602; 78988699; 925188432; 497345012; 72718333; 692861073; 73109324; 136435164; 272642619; 384798509; 627649165; 542287902; 794898764; 801226296; 667248942; 988745423; 830405924; 963908103; 67103009; 866546522; 464302623; 509069996; 976843215; 230452633; 718696203; 785857939; 259028654; 579477709; 732080055; 136335386; 709251730; 548389016; 209676699; 738496698; 767542447; 963827992; 356509277; 704159518; 910092100; 150657723; 50741583; 354343274; 238880448; 567698747; 716515387; 571372127; 231365434; 525971805; 91906832; 3594602; 33615066; 911385668; 972698466; 343225181; 553396326; 960406354; 359951737; 512229221; 592189505; 651087507; 799071390; 795479601; 351663978; 148635677; 926003189; 460364463; 182635544; 717103329; 839250927; 803427691; 947428484; 891134371; 595004107; 913962930; 612001139; 205250125; 629994181; 853432742; 833022171; 164511390; 699876546; 83274973; 95604156; 279146206; 48659543; 304966079; 273488873; 797654205; 392699493; 662206963; 74708350; 529544416; 730013989; 762022558; 853654917; 27245213; 320656874; 989611388; 552683453; 659599435; 950395368; 229697563; 570133185; 77415048; 135365194; 200063614; 184318016; 550197555; 124487641; 716938895; 831195577; 801034811; 775738536; 138254562; 468684293; 389788379; 317159797; 383507328; 559410039; 669310546; 692847564; 779721311; 826646435; 723374252; 836718883; 172633754; 685273946; 267577752; 824804561; 206438216; 956915911; 679017582; 626167694; 234280253; 845846980; 150377798; 946256952; 808167382; 95612590; 245633876; 627871141; 282591039; 300677254; 989254351; 403796095; 956479534; 620304679; 962294757; 976716696; 382037163; 383446885; 995527043; 658189853; 174337925; 586664182; 286938684; 238077493; 1128307; 301633106; 594866783; 243288409; 954873759; 83821218; 693162893; 753185799; 110027549; 452326758; 522028900; 233693856; 201564575; 241882300; 30710011; 987888151; 162039324; 292757802; 522041856; 886829877; 709704384; 735727774; 715413099; 87066061; 157583319; 697044486; 876387139; 709426017; 362203080; 522771670; 449039494; 599193577; 889418432; 122319170; 634091149; 487625888; 527577829; 533203620; 426243366; 419135114; 783066495; 428601772; 335418352; 90149537; 11031146; 128225836; 117073344; 786496485; 627070974; 953891074; 37510795; 619903423; 73631200; 240318414; 482330508; 482165088; 290185580; 146095876; 18670628; 286150061; 538055448; 377362910; 738774635; 491972670; 185313693; 146399327; 463044504; 863117849; 329026786; 664867878; 685832689; 228738536; 291584996; 58373247; 174984021; 646644752; 170069709; 363896840; 906220289; 549471596; 47913704; 223405988; 303274584; 478316723; 159823190; 69410919; 240396522; 847932345; 852222255; 842326651; 474709214; 525539321; 603590103; 916341304; 601671201; 731087050; 115636628; 345631330; 328408428; 221367692; 364468949; 207696819; 334508108; 626958220; 167873023; 965848071; 937686607; 158728445; 840229221; 998742019; 775463311; 765322689; 844323707; 743642336; 334193743; 523263675; 60795740; 659698335; 206519976; 868983671; 994982622; 389994576; 331596265; 261328850; 491014006; 720531436; 688811440; 931672213; 455093993; 231715702; 289113247; 471270993; 178480600; 976884947; 232690582; 626720319; 991015645; 987596899; 209741862; 717897922; 599522881; 241410652; 813053529; 638842442; 483065153; 785688159; 217469483; 660592843; 253538978; 247799960; 397484047; 118955338; 89509069; 679792859; 993161196; 705612378; 333786067; 646931039; 337155301; 721224774; 490087558; 651501; 961233097; 924088050; 315885639; 42108183; 970314385; 114021175; 944274724; 107834385; 977833912; 930307576; 513141792; 458452002; 84545576; 603023254; 790567496; 535495113; 482673637; 952124154; 225268086; 760853587; 90731450; 332582604; 942559062; 930137847; 458625060; 301921063; 441543456; 259150286; 512220117; 11845456; 626039040; 732192741; 830868730; 678264807; 209181403; 962606415; 154830778; 283382922; 885993852; 798773008; 120151715; 217783974; 232610471; 937006066; 702743193; 444441761; 130310874; 810675237; 431852514; 366908409; 409177174; 639236574; 304650325; 246817502; 46327543; 14644535; 945926370; 750376370; 865330364; 190954518; 179507800; 934427703; 331454190; 981072265; 181460726; 977366428; 352419527; 138510014; 161772273; 589657898; 553010396; 324167031; 970301578; 717977855; 684076619; 876116007; 727796822; 833456814; 65312880; 242977977; 532634994; 9477022; 489298688; 192060412; 555687952; 462420809; 232521611; 798590253; 508650954; 331458908; 466554699; 543131577; 318712368; 726732658; 131051438; 91759003; 214048666; 554974843; 368742350; 45970065; 131018213; 496957436; 37747138; 30221812; 282842211; 100950340; 61773625; 911393116; 11107252; 471398835; 407818318; 187285431; 561714709; 458538337; 28323369; 560514097; 448493139; 448569341; 124989671; 617164589; 309237291; 17962098; 513936494; 271430107; 226219306; 382900537; 114124839; 356573247; 461879186; 788607678; 594345; 996006626; 389403417; 216053564; 861370623; 26130081; 733436704; 86032314; 80826352; 765188105; 917070145; 421878481; 660854217; 377021137; 529869069; 562793779; 796514386; 732698378; 183626306; 619438472; 957669601; 975280602; 229478131; 576037035; 457838935; 202246603; 457853510; 287831885; 66524419; 418873459; 484263300; 487092045; 883332572; 280013565; 539412224; 682459499; 630520705; 116604355; 292772434; 101682370; 642434787; 440454927; 384772311; 488273760; 979486450; 728072219; 168640950; 264485091; 591909416; 511576048; 33458089; 580588724; 183715259; 322658420; 952715429; 548677654; 51025091; 766141356; 860743050; 337149838; 305550020; 121017817; 793435641; 786430604; 907616539; 899200508; 522136004; 851666335; 441098977; 574992432; 357038122; 207887139; 750881487; 223274962; 43194540; 881059582; 981473596; 500973007; 302561920; 620768474; 425314151; 227568780; 625251324; 905976266; 800119508; 351217418; 985378387; 652749762; 431268606; 200408952; 801112549; 213048144; 709643566; 733420072; 94473137; 876066258; 825663372; 558484231; 725152204; 301715101; 290260179; 10142952; 295476243; 725972353; 344252157; 413840560; 586945060; 943768233; 404480097; 271531321; 299743521; 747669487; 623483125; 937288591; 296292587; 151639943; 40178234; 310402849; 732928233; 644639446; 678980357; 264201457; 357452761; 56591632; 223130917; 909512235; 519155852; 184875884; 187011448; 758478613; 831025656; 799225721; 657072571; 56207609; 501306361; 54415289; 838860323; 660017997; 794543846; 139731383; 440415215; 931596203; 728052447; 377807727; 174183005; 295915771; 488893916; 843282439; 528385792; 353712634; 707382768; 88750845; 751247076; 204240686; 805779579; 900164724; 225283834; 233925202; 298032640; 443227858; 578035899; 690408302; 522430129; 109281438; 203029005; 83458298; 732660580; 881905479; 660910260; 995939664; 1533222; 347827400; 77679339; 95459853; 344470314; 549103187; 863403428; 596994802; 585046838; 795057146; 527324586; 592355627; 300672287; 250565546; 165933665; 827483406; 27867909; 100042483; 790330979; 368616054; 515920351; 569178545; 430373230; 489689537; 308367723; 260724209; 898368077; 848505717; 72300348; 194929321; 12459285; 11366716; 586233983; 755049469; 510016615; 589409520; 809161962; 177624440; 477810503; 689680582; 30896378; 881313617; 367978309; 697815512; 92499016; 705196058; 457773955; 235327608; 639977947; 771066287; 293900663; 489235567; 819782450; 185919305; 9946597; 235738961; 947137340; 314629171; 434668878; 732149352; 642012655; 805225147; 954387127; 922306309; 208114506; 557966881; 152843300; 986866282; 653321515; 161919311; 954682917; 708102132; 576288081; 570165759; 368660853; 794932687; 440768033; 148970103; 766945059; 567138732; 521902510; 435505053; 79703989; 281358882; 144834454; 24352959; 795951346; 905611558; 324267718; 190653265; 529300049; 166411526; 337024187; 329374670; 8120402; 242414094; 687147658; 626063976; 881987027; 288948573; 871535172; 245903786; 517075076; 155676150; 662740234; 139969102; 837424460; 304227836; 474502811; 87441389; 665883954; 98524551; 504474714; 456237690; 928246409; 796820784; 17073783; 167229234; 556603187; 64165224; 697560588; 98506856; 932753721; 278792156; 530487587; 372889949; 646815170; 116200624; 527597065; 618896251; 574178641; 712613491; 485475459; 66652020; 52274175; 595353864; 840433623; 937214941; 395407587; 979984651; 42416671; 894764438; 253590402; 140935146; 197131948; 688381316; 401549320; 517796652; 512189684; 25330689; 821466819; 242834083; 729982696; 761434392; 193534767; 172154121; 721973207; 324913058; 510423583; 660869409; 428975321; 750372185; 405393955; 376408884; 975740054; 127578414; 433855257; 598791180; 218602954; 139794380; 734796373; 251035835; 412585951; 788985407; 833901641; 782802766; 665936799; 619951324; 71516015; 873386855; 756183225; 238099075; 745234696; 185756180; 983407354; 714057624; 967317916; 312756143; 163424660; 913703168; 127552451; 451347486; 731983812; 356658019; 876649290; 885122672; 887709022; 961003625; 114957649; 710185673; 979820182; 768086067; 325526595; 895703770; 368878374; 214045945; 771838741; 617164218; 672098605; 736155093; 400591986; 765963466; 394736496; 214666494; 713493381; 232808884; 269359; 419190045; 492516852; 749602246; 901508342; 74472179; 376835101; 427674435; 420811947; 689776040; 863915821; 343324989; 469052665; 339251354; 523108184; 420760852; 566547066; 415610175; 163981049; 950901097; 855420234; 365562586; 182333846; 630963161; 149042767; 800531937; 154618439; 403533256; 631242047; 76082585; 743308886; 895507065; 652818324; 361525400; 998002156; 815273059; 887577843; 468416455; 762067028; 102652597; 653633785; 36591287; 573505953; 587180279; 449403522; 300518673; 31680347; 232891659; 682733813; 425569702; 854216171; 294497656; 521712515; 739293465; 530371586; 959733486; 707143793; 114238386; 186782298; 162852958; 215075198; 401321026; 70024512; 304608613; 419987956; 113264464; 393890821; 62508115; 592013828; 300361752; 368238586; 728095340; 805305157; 973028023; 959685159; 874254685; 542918352; 283377047; 397887482; 838676120; 81971065; 149629881; 256796346; 722551451; 127835090; 182297476; 950325049; 908514172; 872679431; 701382825; 370789044; 303101219; 348482562; 737675681; 756250742; 486636947; 407477501; 428116765; 538371512; 859554047; 341020706; 307486962; 886466826; 225968129; 135163463; 743725480; 891826936; 91141026; 265724544; 713262379; 711803228; 573388257; 665389254; 175485300; 852577495; 934405415; 283619255; 817495299; 178036095; 238225972; 66666436; 861397174; 714233904; 466841354; 233457883; 607839050; 589692161; 475558151; 994727038; 288615172; 838678206; 2831112; 97323642; 754841129; 85718371; 377552143; 221918048; 803305384; 156411239; 331693421; 505521423; 699011167; 164530005; 147189091; 335672103; 780150994; 636738281; 447551765; 362447663; 375908633; 723559917; 388178658; 886695479; 892743615; 784220110; 272495575; 211331903; 944288766; 919430762; 472502744; 690527923; 53909304; 212359889; 576731443; 454097321; 825034430; 332125957; 767566892; 447711386; 405668828; 317356509; 784045609; 178694991; 250813837; 645921950; 468392157; 259890654; 245763242; 669936962; 600900129; 412079808; 163085066; 889643036; 544925442; 236630065; 440977918; 331589878; 16616683; 554612145; 808047558; 589092301; 662230331; 70944396; 608232740; 715560647; 180867917; 642251075; 280419429; 841921341; 911287337; 978523113; 740751457; 521310548; 227674582; 473836769; 765806401; 681386382; 55831038; 724926991; 317945807; 511292475; 924878636; 968502091; 148934437; 620927372; 191383510; 349854444; 961501149; 447561396; 998206428; 64109690; 748032450; 221271770; 114865752; 113979975; 488911462; 673075479; 847384481; 353009995; 617253041; 313306595; 240146490; 448271606; 619811389; 608225236; 592203972; 915600649; 953106659; 527239049; 665548430; 296688189; 619513299; 260495933; 124323684; 506677759; 607182004; 245835222; 625965628; 528512673; 38739393; 394699974; 459521718; 312703614; 646780319; 794978036; 853757565; 576301953; 301413681; 762449383; 139426151; 233248356; 54962488; 274315751; 755694998; 601548780; 764822650; 452918991; 918882713; 268116256; 374283648; 981531487; 268265014; 492293563; 675866166; 119285859; 364129782; 485956201; 199400621; 920292413; 249556812; 749280524; 250117203; 955125834; 917759287; 805405387; 127842476; 813387152; 397784426; 859188483; 607409822; 894798880; 519176406; 810568589; 586737144; 48597192; 777116399; 915418575; 507336709; 554132494; 579559638; 642135143; 938384991; 492222125; 992841295; 875373168; 212383256; 86263690; 630459993; 686234698; 588498309; 887144640; 231152392; 518900017; 781727302; 697963245; 717506677; 980545022; 642302034; 348415033; 204435241; 739851812; 175473772; 426501930; 665633200; 19784536; 86799306; 519220252; 235653978; 103152350; 834215198; 598871549; 810043661; 79608387; 168577748; 44016491; 274184306; 270793362; 528976808; 897561480; 487036523; 322939413; 800704947; 740076994; 920535348; 707261814; 319133545; 969302798; 269825968; 912972139; 833488316; 818192584; 945946284; 943869149; 355525287; 671854541; 73438707; 516876101; 231851029; 396905039; 797442885; 936921577; 666301425; 356956241; 963999346; 223895655; 832374555; 165001915; 615228349; 999355943; 465170500; 660769615; 960861693; 953133003; 705625562; 914910808; 337724409; 999193699; 389535419; 330047855; 72942719; 699524753; 8238083; 630032566; 455800723; 173165159; 233182346; 494797847; 950741898; 24015500; 965058985; 352506967; 765323711; 649885412; 438941541; 628810055; 378837995; 160563904; 857865723; 446048701; 312021314; 453331054; 546552229; 108808652; 115333911; 405898713; 77581923; 564063607; 892129998; 713993922; 926427568; 692255724; 359693085; 493203680; 39192962; 539767605; 20642628; 456027431; 974451248; 3394009; 411515322; 983954584; 562392125; 672968219; 796569846; 722856513; 277902841; 100392650; 671951295; 30165245; 147105775; 508541799; 173595995; 654725233; 240202319; 523642459; 264504770; 269276039; 819822956; 585393037; 888389746; 841828863; 36962482; 659629110; 254077377; 120449830; 924539795; 732925721; 311815185; 123264733; 825440440; 53138620; 929112731; 88867294; 736089833; 722685725; 887659796; 213639842; 365190438; 52039113; 887645291; 60768736; 90013755; 293575068; 363385186; 389021038; 807681941; 629646833; 389279047; 153651663; 92492013; 867108869; 524356228; 397792030; 176870650; 813336141; 500701508; 544390223; 410727770; 481441492; 511200746; 980394948; 725305544; 523062292; 285884472; 224063541; 383530452; 841501627; 499268614; 19517295; 788188313; 74239864; 185815303; 25225607; 60583072; 961819436; 476316719; 529407477; 179360901; 174337199; 453811707; 746921698; 472828443; 248366099; 215182457; 917679912; 260398888; 484196198; 178286779; 392165264; 982674832; 646597883; 274726024; 695654657; 988573667; 61872163; 558642312; 817679408; 806988918; 655247870; 59196105; 411706242; 541875474; 996785005; 730646616; 604813597; 734298726; 905139724; 166944353; 777969408; 241692506; 114119498; 612476506; 681276230; 428332327; 984075453; 408037393; 267746677; 64531503; 990995779; 927125731; 459696851; 666212845; 447451952; 313746951; 376322177; 770271986; 603633059; 526574301; 401477203; 987376504; 920974509; 20087913; 742535216; 872645307; 175790442; 865065765; 756048637; 605221504; 310362095; 514086804; 581835095; 975148676; 500854353; 715412305; 708614247; 99654722; 266940; 482904621; 182166742; 861658082; 196628958; 824391791; 681878787; 571409969; 811983496; 273620051; 19915793; 296475080; 620847097; 457440699; 957802564; 327930746; 635852543; 168038063; 894925419; 452818433; 472228964; 184271887; 771840129; 941197106; 777321156; 941760533; 764565475; 865561748; 39617509; 51000983; 919618824; 981062326; 294005214; 816174001; 439289243; 461380181; 30016694; 525882593; 523243198; 945412251; 918757844; 646185212; 578234660; 904795300; 453655635; 390120024; 82635185; 340135591; 363107839; 837257739; 111966891; 430023492; 166446045; 187744594; 506217115; 389922205; 47706800; 921970035; 698497101; 277374644; 136795691; 810857112; 641057220; 162132998; 28524017; 403827858; 915387837; 415614807; 550557651; 844250532; 269818830; 15873343; 765430602; 436989592; 41270237; 763240957; 568727147; 385409316; 910719212; 716623259; 86726827; 369589996; 902481571; 213792647; 100681792; 933789824; 402330310; 835808749; 903859533; 409096316; 746452742; 785441759; 552158217; 589703086; 206385267; 911467551; 45043854; 998457074; 901489575; 696507471; 651425093; 169014798; 689111503; 164891841; 506291510; 138494360; 534754613; 22188041; 452390466; 166173145; 635903458; 480324945; 979655946; 802036078; 217364315; 626593430; 793763432; 815075599; 364695268; 473453515; 179191687; 427241778; 445872068; 59532848; 509128725; 399038243; 958301361; 287735274; 41382930; 453812930; 838057908; 387232891; 50713270; 393010187; 180413290; 43113414; 102149420; 861562674; 866949839; 319187780; 161379108; 876591323; 645055646; 244162553; 752379071; 222564340; 645553425; 769535566; 324097413; 789169284; 670627154; 447159346; 483649146; 227395903; 747623665; 539667022; 290592768; 258014876; 726336517; 646027059; 950849758; 520384256; 649575008; 70447522; 172672894; 289772670; 4585933; 873607768; 957453205; 731748920; 283693437; 161708153; 952340604; 654367446; 454721446; 986654506; 359104130; 701010370; 262720584; 850129295; 43272741; 386784834; 970343338; 855713120; 26482074; 427102425; 52660236; 356346107; 567416494; 845411189; 24874973; 498801892; 149451198; 928393241; 219776720; 855160793; 796756888; 938502537; 297772219; 344714023; 290038904; 591622274; 275904303; 775219238; 318668135; 723287742; 545801568; 328292310; 153340680; 800150687; 302174147; 22088036; 880804228; 14044218; 284559113; 499802170; 118915368; 599866244; 489046944; 66882094; 588790749; 899821139; 989772004; 82019433; 209059029; 450586584; 720651777; 238328097; 613411562; 145073868; 866032325; 848706923; 934204705; 623064641; 550589565; 814470275; 830308755; 22276261; 944728670; 872929336; 922996945; 836489157; 648523709; 34799265; 511285985; 109091915; 825022993; 375942777; 723028060; 736923045; 869159556; 583497354; 520647326; 947691488; 218944721; 974225458; 218111035; 290640182; 702107428; 308651330; 676077713; 266807701; 864047647; 413863130; 837730510; 643402136; 962926627; 304107140; 482084197; 424730363; 207174370; 106197371; 583450981; 909011791; 589737969; 441411451; 287177722; 47910024; 818524057; 285781511; 456846096; 32194747; 120949932; 791221771; 240958837; 118424129; 31631068; 597958117; 723655166; 934175422; 856065122; 295343388; 864015962; 376344370; 899630890; 906286798; 481503403; 378257274; 394389573; 189843087; 632098511; 619847051; 31471639; 455757177; 616764918; 686847996; 245554810; 90044307; 578898509; 878275386; 40469328; 756481548; 121849742; 627959000; 366876278; 992078090; 15997464; 721783309; 961962528; 538394850; 337592752; 825483331; 99979962; 179805254; 918203255; 590464278; 270001547; 824381350; 543886234; 489319078; 470115186; 104364152; 436807837; 155258611; 13503010; 227677752; 960853361; 579048892; 147176315; 330681488; 415481880; 358404239; 770933342; 803270394; 269180750; 185362632; 260743592; 970701062; 297274974; 747068165; 386613260; 913583765; 683224602; 604885824; 715127528; 884155284; 476826845; 777025350; 454308463; 315492237; 574966866; 810246610; 505932291; 793396848; 948251803; 318348637; 840923423; 69897854; 947018036; 559005044; 295990103; 948674468; 665807899; 381073507; 1554218; 584869824; 462266226; 858400184; 50226691; 92198801; 716134725; 375334421; 795704843; 403353055; 896742717; 588287551; 965137270; 717201164; 984327485; 498422077; 690528915; 745211201; 791448934; 152279904; 357655654; 865299716; 938255140; 650033559; 664835059; 201504501; 635225874; 189997056; 733157209; 789701848; 245798506; 103437124; 966774604; 954228284; 937325339; 691899751; 717282920; 950971053; 407073405; 248085598; 650302263; 236680728; 404331160; 668371320; 321839571; 235047939; 481949015; 170122206; 657150372; 490241441; 682019495; 158438370; 890279448; 720796624; 27259780; 193481696; 214917708; 264420375; 727031833; 657095520; 754554124; 48697326; 76863449; 192850644; 540902259; 668690448; 660607279; 141593022; 473529427; 209392791; 249097962; 3019310; 572535739; 414926579; 604155824; 128737921; 567982047; 878965982; 422108339; 987654964; 759027218; 912469002; 986486574; 577127573; 523188205; 691593952; 220175812; 738098292; 703886905; 974462252; 833141944; 32381676; 614235418; 60094797; 387863322; 965876996; 358241824; 880204293; 214735964; 574352956; 703432283; 382024624; 998291849; 65524781; 720060477; 239942004; 781470459; 902983496; 206784949; 318896066; 964499805; 238755088; 167059976; 348754321; 100274242; 240690837; 544411492; 830501230; 71639328; 785503796; 531415799; 435541113; 363357966; 808056479; 577622722; 925391982; 442847184; 565862472; 156546062; 636098198; 595739302; 31616990; 670754246; 796642305; 13397404; 96980893; 764195026; 928080639; 604856410; 414764058; 522298316; 527610955; 54113323; 973517079; 387045075; 135125237; 207164046; 21956345; 824542203; 572123185; 729982733; 594310293; 728565639; 935102057; 893126966; 843040787; 787649882; 636259842; 769706526; 500965438; 438350185; 417933775; 728701446; 648122573; 76129266; 988577165; 533885242; 631855720; 653231325; 819382011; 165887530; 287039309; 802211628; 232446386; 599254511; 660990439; 85323859; 123142199; 766466696; 707242774; 508104420; 166826430; 111252673; 978632991; 106277912; 17692303; 513834522; 271489947; 84367308; 815136282; 387637864; 411920647; 203355783; 896578754; 52571039; 140507971; 156124287; 891916845; 166000077; 829070326; 892387940; 542711984; 206671449; 71915814; 436929605; 878606705; 396365251; 342708598; 639522066; 21341416; 441023227; 783938909; 980669413; 184484809; 185669044; 746475214; 688359282; 138856747; 710214725; 332254700; 30157970; 536586961; 761808438; 941330020; 805106123; 474534012; 676058116; 286559943; 76095522; 549086192; 61510584; 737998489; 828066357; 787364358; 575262434; 122800790; 101978149; 567279140; 386733948; 727820138; 701358576; 143934296; 646263019; 12454431; 337030256; 763600131; 65954601; 202140646; 409881908; 284051251; 626842636; 122613105; 798378926; 608082102; 273390570; 640817478; 133308092; 745871495; 953840110; 985477135; 557649851; 67257281; 603400982; 791936496; 552502386; 612503686; 555523612; 837849652; 753903592; 568449827; 586453627; 776875154; 423770213; 864143151; 837492427; 722744268; 581932755; 65062830; 129654599; 759513836; 488776070; 615628724; 488313079; 607667504; 154316434; 829241801; 3392231; 902291708; 860604915; 491349908; 844759954; 351715143; 569998588; 518492493; 881515812; 357349302; 253769856; 579024766; 504857405; 515694012; 796531349; 967029191; 797653003; 335406576; 891223186; 873172428; 554099246; 310162333; 392271043; 262971767; 280281608; 318734789; 749904024; 804433356; 273913278; 80927476; 765956240; 626377985; 971823614; 170190573; 436589484; 281444764; 158172847; 887982508; 876848120; 147004822; 779220207; 124254787; 805214024; 201090656; 822327914; 860872350; 720428376; 764099609; 897956935; 281416671; 617722014; 660627958; 815178436; 318997454; 630504514; 476787069; 187028754; 343970539; 336502135; 396321139; 981530985; 159229667; 44440419; 99053645; 909080543; 280920142; 55466735; 854563808; 440297295; 510878852; 720795601; 615565530; 403869557; 468407321; 70317533; 893865008; 537352221; 758683061; 438455137; 329302708; 877842560; 428356756; 927406997; 827082479; 467358486; 166836411; 548237337; 285002563; 283175489; 195447277; 638618552; 274147200; 449016510; 581025446; 723247697; 809041728; 824542615; 412225186; 814994694; 829791417; 317033926; 87856880; 479001947; 886360676; 229344921; 855153788; 79113547; 802104377; 968716801; 151626258; 129744566; 408201318; 785984467; 503943260; 785704929; 648848701; 394201354; 681604023; 822559947; 989662760; 747316713; 229106985; 608654997; 566782575; 971261407; 676287192; 630013757; 969292856; 836643180; 735651708; 497502129; 601551188; 737667987; 520703202; 578234151; 936555076; 388668193; 582102680; 718038156; 352429557; 770648241; 783313988; 61360085; 736447983; 386493070; 403041837; 978974961; 528399966; 123213273; 586235516; 398884156; 621581027; 494093996; 166167009; 674743574; 254314824; 106190143; 515383803; 938300164; 4209049; 208334692; 524883220; 592981818; 502087991; 617231149; 684109734; 806466830; 477143107; 44371606; 700182243; 852748847; 551087239; 204465206; 897037567; 983948593; 901022360; 556178284; 740470654; 286837151; 261509877; 580736514; 385015357; 403875469; 929530461; 238669238; 984515965; 79108220; 573724580; 836931529; 352366534; 513407711; 900698142; 765120333; 93390432; 684578245; 663103540; 582006377; 469892053; 601537778; 141424392; 962795; 986151333; 504333977; 715399314; 722165357; 407045245; 970883831; 8324569; 251292570; 573937574; 297369479; 597815965; 909138350; 557885413; 373570706; 114990739; 685285343; 423174574; 972783452; 54499526; 67403682; 965595031; 972766352; 123976012; 889548238; 280645750; 428400091; 782225492; 407289007; 877161084; 800282893; 971875779; 159511246; 654890786; 300496791; 143920864; 160334441; 404107032; 228721096; 327861599; 824678303; 416794854; 468793247; 299089270; 58948106; 718321457; 439535496; 575362235; 658956772; 214779393; 321356764; 128277595; 517014739; 478649867; 164028593; 283130633; 264668999; 495499403; 265406333; 185244617; 640109586; 541964080; 102107737; 208632254; 622769333; 494824630; 361490329; 377983550; 508273231; 54518568; 882484350; 530206132; 854014421; 755849296; 67115340; 487154481; 408161320; 935323257; 614337247; 666581733; 48467536; 187657531; 760725350; 398566643; 7146981; 862334201; 247318858; 905977933; 926505063; 251734645; 781733046; 180417150; 812532530; 249892605; 264572052; 670975080; 350914986; 48110274; 781125092; 875364558; 811342413; 422431626; 278719547; 554239262; 151216417; 203411972; 501117115; 588148429; 271937720; 417721374; 642515507; 593731267; 66317909; 167637304; 392653590; 438937617; 934449956; 218410264; 560497207; 187328077; 957927334; 814297997; 210897623; 1736621; 65784617; 389020276; 80739363; 190749363; 213618867; 74507180; 838983167; 286006763; 701420066; 788042374; 233564653; 626303688; 767659783; 102157104; 575175238; 783039212; 826771243; 528025973; 796183707; 536690508; 870526778; 290775053; 72711500; 534832913; 811426858; 614973193; 153212346; 806849296; 569066799; 481470404; 973453723; 769594014; 494863706; 103797606; 546764144; 320714185; 343519312; 751131670; 673793282; 792203483; 461312105; 428652545; 906905069; 419045137; 942952407; 723905365; 732436216; 514671916; 607962476; 905707742; 385506023; 616954609; 511797227; 395393436; 845246109; 137281336; 582527239; 327383115; 144698449; 734454466; 302640917; 555853804; 928950338; 30571845; 792887811; 813082976; 464359094; 444088916; 42382745; 716467208; 822465668; 473360169; 677599386; 406104537; 406157769; 942403393; 395890256; 883398976; 329214518; 811093956; 484346013; 112427689; 253025662; 827388074; 104744403; 793966794; 86386380; 724718446; 372172864; 234153571; 208559265; 63894885; 954768878; 58844523; 864673059; 389090435; 678138465; 602904272; 268200102; 707794195; 595335640; 529858382; 72068605; 377076331; 259593171; 783348123; 308077516; 927019126; 824260369; 716173499; 767684277; 837690464; 310702594; 217029763; 443995112; 574670376; 482718544; 423892576; 718278443; 778858710; 754658302; 519088685; 640410966; 167427289; 24640306; 25396055; 441568582; 694929726; 541769953; 636961112; 785822928; 975346943; 829567802; 34575367; 352245586; 186339924; 175653493; 14771015; 618591565; 635537406; 724117020; 44130500; 284622246; 693222051; 734735526; 10707727; 831624274; 913622003; 287127629; 447394049; 538957140; 225015351; 403210480; 687725188; 227988701; 931691055; 528054326; 877312542; 343338675; 167221927; 329056752; 80671282; 589218802; 212692264; 565152158; 869591138; 429376342; 427741423; 486946529; 587436813; 441879845; 965931196; 374936548; 292200415; 521946388; 563599580; 85086446; 824607339; 733133206; 207769554; 121068678; 220982273; 819716431; 904338701; 166961063; 611032376; 705352073; 622934913; 791340340; 260483995; 787693585; 1141885; 382826863; 594729293; 597077503; 391246996; 966016791; 527623542; 815845976; 745160503; 677676842; 979957941; 482458670; 250427855; 26066562; 311853539; 142913193; 1437168; 327924165; 141804407; 901560767; 96295118; 97201883; 355215344; 241170962; 705473909; 688417915; 181768632; 734058242; 346993362; 423378831; 359295436; 62746253; 970169904; 839611581; 888687981; 524381672; 444789438; 312355128; 71386364; 445292750; 936224837; 225298350; 417946729; 382556084; 231430958; 507699243; 20177194; 86983407; 189408402; 181576173; 923900999; 390819236; 228006998; 719498010; 14854264; 374790777; 818428871; 730863724; 550633298; 535662714; 948502360; 475801421; 68412321; 942830066; 932783346; 480016279; 422515395; 47079310; 756255607; 159091155; 681799741; 332332050; 937143978; 967389007; 367629092; 648049359; 162700922; 321055878; 431934915; 634655793; 156104156; 121365093; 611057091; 700302677; 7970501; 887164879; 558922168; 715763865; 883700236; 656013012; 816655114; 770519940; 39703092; 653455782; 223307600; 346309726; 367314466; 890825165; 420817712; 372623970; 335842284; 566954185; 485756128; 552618784; 442011521; 62159854; 401894087; 261397022; 97059186; 503564230; 73918081; 959162967; 518136418; 367163691; 5151872; 293041074; 316308309; 108403751; 242536931; 904879232; 829805556; 552320838; 248257532; 473124737; 158575116; 107000174; 30777235; 193406974; 452496193; 196258454; 265589132; 410933835; 737880189; 975688243; 416716389; 987572830; 423018127; 196037969; 80484779; 651989071; 212384199; 115089402; 117437275; 46842255; 31476731; 361197388; 57072281; 693718105; 535234437; 725466115; 613456351; 588014580; 94056054; 487495648; 714499364; 550023989; 348905769; 974193035; 857748987; 793488284; 759950436; 196492441; 168751315; 29124177; 184825221; 667834565; 856368161; 607855159; 246660047; 277461574; 521003894; 891376467; 595113166; 301941845; 111112085; 61405965; 281597724; 974558977; 408019621; 468088668; 502197439; 279310647; 993253055; 665756784; 788847572; 879992124; 950425600; 345539690; 966023400; 316942471; 715070914; 591088560; 617503772; 556830379; 773995748; 787558050; 279577058; 131826995; 382821256; 601427851; 971944853; 633452488; 701461651; 438142824; 740416759; 70319907; 643663437; 149802151; 923642170; 975800469; 848854011; 977778823; 947359900; 969666151; 931222119; 82232344; 167086195; 191365846; 601927763; 82166781; 766998849; 182717297; 536148644; 264266409; 604190474; 936534431; 673671095; 728572654; 666279050; 618196195; 36390107; 400601600; 175978420; 387397013; 814283125; 239259002; 188023759; 200639368; 837038613; 904635935; 475083521; 762929324; 223257130; 146917543; 816709699; 288857328; 377527898; 918811345; 722647861; 539028034; 855355615; 279931911; 540135654; 946488765; 531906198; 466332306; 838934537; 988469880; 335297279; 449464400; 278921077; 675351171; 811151232; 528885414; 710379774; 986918920; 713459063; 98123610; 807198007; 236117898; 159753681; 605036646; 259804088; 172174940; 665595227; 104936544; 284150804; 619867428; 606215411; 5319512; 781096240; 587856773; 623108420; 79564826; 228366713; 525910061; 827203853; 653552189; 9768312; 756794031; 218171069; 167853888; 133462236; 295297030; 105201825; 5130149; 710012840; 543872285; 567746776; 234321210; 873445553; 867252354; 800359832; 129641068; 140072106; 695689235; 605588829; 243752918; 604799203; 318258411; 960675943; 232609091; 430555610; 595056434; 969985172; 963008384; 185716810; 885261382; 998828995; 841347603; 618839775; 389267491; 84957415; 645521653; 983107324; 994778722; 283239140; 392853065; 570455082; 525265864; 760049489; 741772905; 264601961; 726686951; 613524876; 145408112; 40625885; 997814464; 180337939; 728791621; 695830015; 141109775; 931308825; 385772875; 368714641; 937563632; 123544261; 446760123; 824198134; 588324798; 90060186; 828382319; 974133799; 340177401; 105123539; 26622071; 407820287; 40771786; 756632395; 911235955; 990491678; 53345035; 97502339; 67092938; 665080702; 921172153; 626201914; 195577084; 390512020; 992043794; 169386155; 149899531; 166684397; 16796170; 164466954; 119590137; 481617365; 609288569; 184388031; 628854697; 92860676; 983844939; 99680427; 686568426; 571075120; 990032557; 442417389; 251450581; 164254410; 381164129; 944068115; 145002272; 101983817; 243608349; 697568159; 412596375; 992308126; 494904352; 428526819; 845656805; 268870021; 541225861; 519160783; 5099334; 950882778; 678757245; 884626617; 708448589; 664696998; 615677040; 217265113; 872804716; 567443681; 513882041; 123323350; 578067717; 57065278; 574759808; 775492680; 187557473; 607175842; 29180218; 2455119; 18319952; 132596647; 103398867; 637481407; 605336769; 520564366; 920851443; 58903899; 880531705; 165458715; 588677045; 764846640; 297423995; 838381573; 224583871; 899659010; 268323702; 132967197; 822224955; 155696800; 565510980; 834486992; 18256804; 252649333; 43819866; 430367059; 500977729; 797867259; 940973627; 282513313; 491961969; 598882054; 13602513; 679674211; 481554363; 586945915; 496495700; 752232056; 954166397; 954298366; 55025888; 565313035; 918603932; 412570266; 22153414; 803620999; 798817269; 571500583; 38196439; 156666960; 811340418; 138134232; 370769305; 119794266; 630864467; 238318747; 558279114; 599064212; 553610059; 792871213; 747154688; 621483479; 291142516; 101862075; 415000410; 490998600; 615681028; 469291876; 241282157; 479336353; 627312947; 598677488; 618819578; 640186835; 816484044; 760066970; 491271083; 88260878; 636406709; 531369929; 496853294; 470267415; 143282696; 747704526; 180207084; 765816832; 661865365; 876685690; 446608755; 660681025; 307535566; 359219886; 831583227; 815032603; 672575391; 783653862; 655277325; 944355197; 390941478; 484381181; 946609427; 620170407; 782579233; 751725101; 983199507; 818953684; 128673169; 219526396; 549951169; 717495947; 593452942; 419247680; 726357612; 18382476; 734815070; 572905901; 139546327; 320139298; 54138237; 150915940; 395035118; 672869950; 514868732; 199267821; 615974640; 114057388; 739864921; 389417176; 644860667; 740342322; 186751832; 201880925; 287548787; 21329501; 486365551; 765273525; 669219675; 453795955; 250296480; 719679999; 952992405; 731270144; 870695960; 750098028; 186352894; 383961924; 799664893; 465944661; 411987498; 470245369; 23594191; 547566212; 743774299; 891557239; 942147372; 597576533; 357372628; 728050360; 510288758; 951440146; 410551828; 607457169; 635126707; 415989863; 790798273; 965524170; 893455338; 811907037; 316922844; 809393335; 556536212; 66661633; 643135678; 410903180; 397258366; 95945435; 408402347; 496201055; 690634400; 332769895; 686150258; 946988254; 997524376; 328236901; 691213884; 433588440; 894221098; 618683502; 549797117; 820493944; 21849067; 233983857; 971203012; 735347595; 864928653; 756487259; 144521247; 528392463; 770921151; 63286842; 649572421; 342109802; 677790049; 839286235; 411762911; 732728370; 874725433; 404540450; 334657812; 982352847; 597947922; 336347042; 244517921; 401108928; 604070846; 246533487; 576752480; 122791025; 159407012; 98018885; 149300758; 907576475; 582989493; 656486610; 729186244; 593416575; 66645207; 939899866; 694461893; 711375394; 764363426; 348523616; 423268482; 830658001; 39295969; 120548978; 374234511; 794449039; 351001313; 555062424; 28520307; 281935654; 488020862; 138889010; 193876725; 62662983; 379490308; 10947060; 663964153; 12199270; 272938260; 896325792; 918042111; 989752174; 308315644; 193830720; 611436517; 447015411; 217607258; 351124805; 289496740; 259742886; 991696562; 878104069; 911155562; 945159481; 101906088; 630001906; 84560183; 566159088; 470042817; 251625904; 362325543; 310900152; 14987631; 437814157; 15030670; 569630791; 327434574; 327550948; 26186724; 205152207; 777284131; 205007434; 294932224; 913112300; 878054253; 374228747; 253043513; 592849847; 49237040; 29306282; 433331498; 245280766; 183603567; 167252171; 567699306; 644539731; 357712723; 682672537; 798432371; 297886765; 623731830; 260225308; 431352164; 493101145; 718654901; 933886506; 191764377; 288517215; 843296759; 801745597; 790147029; 959206572; 642836159; 468362956; 372053143; 706561128; 655631550; 297371956; 354061014; 416854565; 309982049; 521087665; 345653392; 749903572; 407200424; 568669943; 849567112; 15192838; 725869046; 899758914; 793152637; 290837835; 892644475; 857762152; 453070873; 266558755; 696416538; 517386318; 50036308; 581667743; 704226191; 955470580; 374426073; 237211940; 420828485; 45175313; 125090090; 692258263; 592263696; 15200387; 27595697; 741910346; 603200540; 743988815; 729359887; 732489696; 615065305; 76817202; 651434099; 512910478; 600690492; 456588455; 627352611; 63581066; 704665403; 178897911; 144808632; 182585581; 827401883; 265170395; 347102582; 225262649; 711566667; 64342827; 172297813; 680689415; 653157974; 455027868; 225951198; 926260588; 488613261; 723122790; 413538635; 526292865; 605058272; 122444762; 499063910; 239576106; 855545608; 366999014; 52576115; 654862668; 516321679; 515768005; 946404237; 824035465; 996537835; 452167144; 316440751; 104837732; 180697653; 34266449; 918274089; 203712902; 764898797; 107257420; 427693199; 822768566; 94451989; 586892301; 433896931; 929634829; 422140343; 362538623; 465251389; 977241649; 757073661; 232342709; 302511918; 680290054; 181027720; 961740537; 557527184; 822812203; 41813544; 638055631; 870810303; 735037865; 418981743; 463511022; 320911808; 63706573; 257138435; 475416110; 809623404; 594260350; 857652934; 454694824; 858602992; 969595721; 326968804; 14988992; 432334801; 322679960; 314188775; 493701495; 1584241; 891621337; 872379884; 986673900; 429590064; 449708667; 884353210; 484647236; 767717927; 292287281; 937636319; 703385172; 333613842; 12038761; 72765034; 4629036; 212319376; 786654340; 671726618; 51605123; 13556407; 398401616; 775360784; 785762811; 133158091; 690696513; 674415586; 673707909; 497796836; 701725222; 94192824; 410125685; 786989383; 805904451; 412862013; 379374435; 63670185; 318658974; 347353204; 943204109; 913718582; 951528951; 838054244; 231290062; 952677930; 694177863; 618921755; 184658152; 25263442; 385997495; 142754720; 142552457; 274776214; 809241935; 282743041; 766959763; 481050180; 251570295; 705475545; 386722760; 230383380; 538197624; 919653811; 707976563; 231838108; 537326870; 458669111; 908015465; 263853802; 685861186; 202563917; 366309202; 586940679; 955502075; 179812569; 432980022; 79930227; 547834923; 538476664; 693116219; 643881604; 775827007; 120993376; 638437849; 42601814; 96508068; 517387810; 95291891; 941984470; 964569443; 25494283; 815959562; 787711518; 518893947; 479078916; 909037807; 323130480; 706037475; 573730142; 851003861; 660361587; 613700741; 566428083; 637235230; 479175999; 682993859; 684835656; 603223172; 316921672; 178842642; 242839228; 487153888; 685567124; 299490793; 145839658; 625221913; 204315802; 290304084; 307043469; 466356150; 215147396; 78745548; 618602723; 953110101; 562069561; 694890071; 340410824; 33636060; 854874903; 662873406; 823310730; 831822412; 321719658; 930704739; 282035251; 417560903; 569331577; 423011538; 709600013; 332351873; 391464047; 167737715; 629624495; 856206434; 826234210; 697305010; 152885062; 892427253; 29637942; 270421413; 34673425; 882372067; 804532432; 871781568; 742390034; 402880953; 289632223; 939524086; 617785294; 962688520; 960021553; 368271433; 283745154; 476425574; 462479116; 998042622; 398163969; 940256407; 82549069; 838396746; 371892746; 705420883; 268679931; 859521948; 388041221; 612300846; 595583727; 474357807; 863823299; 446828441; 183897515; 818364938; 315364050; 389213110; 434982132; 6343493; 340098552; 937729566; 675867049; 6824016; 496951707; 203628591; 839810773; 722757306; 264053774; 775718649; 555443808; 415528797; 434809260; 642234792; 692186694; 405341627; 873715142; 792290732; 495417002; 415539990; 286166750; 331191828; 608110787; 719200625; 918985067; 192485553; 965301213; 592154672; 36807349; 294124513; 552399006; 541290759; 105068730; 307884250; 589854908; 685494170; 805964384; 31875127; 169103033; 285111080; 201032005; 625515179; 48026210; 397029570; 817454832; 497217729; 752862461; 372519251; 26306954; 73147961; 316888808; 596915705; 483516859; 730906767; 861222836; 967216340; 868868788; 233422130; 833254589; 109244862; 127023207; 27757930; 303200182; 248407370; 655152703; 393733906; 691343563; 385494745; 819688892; 131913159; 142553484; 525075633; 994192992; 295379830; 124323748; 850685329; 353405161; 227421839; 191971420; 343431203; 617771573; 324501375; 981275176; 567797423; 143371399; 500238099; 846272276; 466980313; 817426716; 294469226; 103033984; 812725381; 506989377; 60851078; 55315776; 963023795; 990941898; 664863468; 441446069; 509293157; 10289983; 875757321; 750312219; 367943466; 29054920; 327609316; 633987446; 420126758; 781003698; 183600821; 227136872; 171356450; 780622788; 744747104; 946449902; 107669309; 832192553; 629929208; 458490493; 547108399; 302766754; 22066636; 146395869; 968152701; 621437442; 678991292; 715353943; 856000396; 676641361; 404219440; 303715791; 360141438; 383432141; 744456336; 881961773; 788571532; 782398489; 776643166; 472810939; 132010569; 726342873; 421677461; 84965271; 389408152; 304101699; 737683122; 634075591; 242558542; 969695879; 73878962; 447693755; 333134928; 208553345; 700106979; 101005444; 502839233; 968588110; 301214674; 86078302; 565025101; 946587577; 5004926; 242908143; 105430837; 607089096; 819096348; 438763921; 156791832; 843483562; 513102877; 736794236; 635164566; 545868062; 343711869; 962801428; 297202258; 505419493; 637859373; 206843930; 946452462; 595585659; 653011644; 37763284; 670080065; 969997130; 219168554; 204609473; 745717117; 566476591; 77148512; 473725466; 798642833; 136079116; 869909785; 230771057; 748288891; 364001209; 927460218; 996075513; 680430909; 42441610; 674549448; 397174874; 878110845; 884561876; 219080884; 75077426; 27011483; 24185976; 396510846; 879278485; 267557403; 280322417; 410844278; 870455215; 326409524; 849196762; 365413106; 732548957; 258006568; 846700589; 401415954; 51563804; 978610807; 218837934; 237197069; 879996354; 620870954; 927681663; 744796094; 236238048; 39893115; 461657565; 976900460; 881764632; 510309740; 813134240; 468295085; 958722941; 276304042; 377689911; 956863880; 802574705; 350264517; 576683798; 386489803; 276943744; 544178554; 535528091; 735387198; 47239867; 511748969; 613569565; 577026289; 440241817; 894369028; 442294696; 595541233; 759430860; 230658750; 33194482; 9018475; 772487398; 823225496; 739246458; 642639746; 72435085; 784029723; 486064082; 640736528; 446789989; 258899834; 443225817; 596626310; 498286619; 773364594; 947480794; 835197406; 760762719; 41907061; 883648337; 2542583; 37352935; 358409243; 560526881; 467454380; 349422184; 515182609; 934320882; 365701333; 965364535; 469163560; 245169175; 748857412; 560654164; 203960829; 265071699; 22830403; 58590920; 781669190; 630576597; 107482783; 328192249; 721949577; 379734539; 909579292; 813616762; 221416409; 410935964; 763116134; 985177126; 509703536; 712930735; 233085423; 32440014; 415317994; 149826509; 766898405; 862759587; 393820917; 704227059; 161637746; 718214728; 481726854; 392868702; 855117242; 881619325; 223740547; 746058325; 575605063; 961096072; 501003615; 80398909; 877348041; 695475912; 947140648; 884024653; 480080065; 194783250; 456051991; 717923226; 854891835; 766897337; 887829018; 91690281; 901618733; 772610970; 670226974; 273476133; 990547810; 32989547; 897210953; 816375976; 740141462; 590994377; 258446298; 372417164; 344795065; 95619953; 397449674; 862693153; 371263306; 101075464; 446398609; 609922743; 828611072; 903739689; 522297594; 664117649; 419154370; 869152036; 298633688; 423454105; 187810731; 489360810; 720057777; 985418768; 473673771; 328792264; 468341710; 704041164; 330948557; 843503911; 626829699; 490934662; 387876112; 276679881; 366734048; 219251492; 647061435; 374949591; 943556929; 334267900; 963936199; 687170980; 261784422; 233661289; 666768851; 176585140; 761365346; 458524679; 1365341; 734297995; 777269140; 651733478; 478798108; 661958776; 235362170; 544666175; 545582226; 493427706; 402572203; 432145273; 903239952; 368599370; 994970544; 292780901; 273694082; 535738376; 629672643; 16354924; 442927878; 660586277; 306333132; 278083948; 644878960; 12671259; 598479702; 128286889; 683015784; 799323341; 859419201; 824537103; 674267069; 142426544; 826355759; 538828025; 511996982; 449870741; 317944831; 701491269; 676518779; 611286957; 28936815; 693252686; 803537626; 496609635; 670755406; 796384361; 852646656; 232242238; 937349396; 922863817; 467340556; 788522757; 687101594; 250724379; 662754127; 235058585; 822939651; 104616424; 107510309; 411422977; 565136230; 99256726; 199188691; 30052947; 796830131; 83566260; 328079881; 926101276; 559702885; 220710684; 84758958; 309674098; 355334299; 419392991; 634666122; 298351196; 909715122; 914819256; 427994049; 216485586; 175580335; 655354939; 18832455; 197035464; 730239175; 590225844; 145510470; 91101044; 39686928; 750206318; 997530665; 460218503; 540388440; 170551234; 983737939; 166768684; 25217455; 865036914; 119299096; 358587936; 29316322; 530732155; 868810687; 636190044; 123130648; 617542815; 141428413; 202689068; 846457769; 727993996; 331508262; 931541016; 413185813; 97655363; 336663536; 983479606; 839805749; 707771189; 121230316; 311908997; 305864708; 938222845; 229752577; 135305188; 464492704; 15073015; 292879587; 939694803; 834590630; 304738012; 590950426; 385863837; 536614333; 27956055; 106317597; 971650056; 889159030; 529931743; 787429329; 738588281; 164048348; 7573131; 436568335; 148601717; 186435698; 493481895; 313944444; 244766093; 173139073; 367910876; 703458416; 940648505; 49913651; 126209058; 938895686; 667679312; 12244943; 76845108; 123681146; 619255043; 841233041; 149512881; 376379572; 572251037; 826790995; 31001256; 123592080; 664489978; 561385136; 511490921; 747179159; 421024757; 936529513; 302661071; 713855076; 505817587; 516775487; 306762097; 487810794; 957547345; 254874401; 540169914; 620181221; 468719021; 342685031; 710842591; 924082934; 247024472; 674739047; 565850079; 224034255; 240926021; 448742819; 754037457; 917595012; 324997604; 229117837; 890941048; 4350978; 756373034; 536419305; 742475145; 953564491; 29497969; 421245401; 883936821; 383205213; 255934756; 149198382; 639578068; 53664636; 224362434; 205459513; 486306838; 690199980; 816540211; 527601089; 257074627; 437685854; 422294399; 883824417; 32138806; 273758513; 240900622; 482952612; 153987760; 194758425; 888007203; 616723345; 23823002; 673662071; 848365761; 364849877; 886949380; 392374958; 267855989; 943547863; 980132320; 141884465; 644499295; 108367149; 769565987; 38386744; 212492274; 780629310; 363660892; 246365928; 327437464; 733902662; 721604832; 257077501; 53492345; 795277369; 195112337; 609235799; 585430106; 265034886; 857887409; 278229402; 839860985; 528911194; 685935169; 524581336; 399400347; 125056922; 301188130; 206486595; 558612778; 416797215; 907709853; 368632198; 246634392; 732529103; 764151385; 255550230; 1327742; 652571009; 785238148; 14062355; 503964208; 861458116; 205538384; 848011074; 65586906; 160377035; 668878835; 300986452; 767676277; 430524754; 993697215; 160207020; 625197433; 446712213; 666913992; 852688651; 930342836; 255680911; 171298495; 217001178; 207019747; 590485953; 405323270; 551520189; 67263403; 452344587; 567587838; 504739749; 414052004; 200274843; 862322109; 16387939; 416581666; 648845286; 954271441; 398642850; 597813831; 164584985; 399048495; 481442014; 976928302; 530777389; 112058457; 861629000; 377847883; 684686922; 710588957; 168014918; 547129386; 420498235; 895952178; 769617672; 45145289; 821303043; 905514307; 984459587; 680519531; 117797884; 915933931; 803663551; 695255132; 987791451; 915682437; 287984977; 477123814; 559834830; 610324883; 649740481; 404142999; 701690798; 230367935; 329901574; 707870110; 453667203; 361204604; 681205892; 979373283; 329013081; 412494647; 918411198; 620006712; 165119554; 135905365; 649996880; 434298598; 445293996; 129894730; 673283816; 11033069; 399438711; 240376587; 920059050; 670559398; 829320614; 475384761; 689497510; 757038308; 301415194; 159197404; 982401358; 955727018; 997545641; 922047100; 319154075; 975479615; 35083202; 845181396; 340982785; 938695471; 597524931; 944165141; 753539070; 345361932; 529808647; 135115662; 823371188; 321965178; 638261988; 909023726; 261360328; 372692914; 989690426; 738338716; 428603689; 52946489; 167024884; 883819276; 749101057; 865879762; 681036676; 590525400; 286081224; 643529930; 841154652; 576582473; 612880803; 984889221; 61281553; 847306991; 597648641; 496267532; 837438247; 592993499; 508398977; 637007695; 464810390; 805656527; 765722137; 498580299; 129392761; 103926056; 334696358; 800924047; 456366900; 185229520; 29074159; 36850698; 975078288; 903175906; 932774519; 755802543; 136900796; 463467897; 355103728; 507918752; 548729291; 199561754; 296024627; 154456203; 375868491; 725506318; 297169837; 381323083; 487310233; 54331073; 297611765; 373829094; 491966532; 741655139; 13338732; 248199871; 132146352; 447386148; 762036071; 557439512; 58980653; 721304850; 967131217; 897728621; 115577377; 260508187; 677557613; 647378340; 865060498; 579142413; 186915351; 467776712; 31547286; 501341172; 925122975; 250060417; 798741671; 614163312; 526451405; 777675638; 510679093; 461511331; 262360306; 73085046; 605239644; 513921574; 329245096; 937630979; 819064596; 783856835; 470069798; 764849993; 860546206; 263142865; 61428739; 6415401; 972775086; 580164460; 624296144; 705505999; 191565343; 184182062; 271339198; 784753373; 719863860; 210534795; 424038326; 764688390; 560023913; 88272533; 448736632; 123513730; 590925424; 80148205; 447412456; 70724481; 952981183; 631525384; 452064578; 677612798; 645170735; 547509443; 539758381; 187395827; 332891505; 275033815; 130320546; 958732610; 559227667; 850477899; 406932198; 469643375; 973347536; 483973136; 300878848; 642475117; 348037229; 42711220; 695864161; 652645462; 626473666; 447468890; 875241919; 759096086; 114821358; 271174409; 241566409; 453364579; 935056484; 476670049; 460459902; 639682433; 473452218; 661801978; 566581105; 626496125; 232322929; 615541556; 484644357; 535009066; 573856450; 907995003; 114265481; 221868820; 533693696; 164916559; 195713052; 572331702; 783958724; 126163428; 64963075; 91162342; 909240399; 473783717; 992499679; 423634830; 605310627; 70262991; 916599077; 573950512; 640517077; 29644207; 153245705; 981072101; 900472042; 844130686; 562028106; 639952337; 533486527; 805373863; 201372110; 174465573; 605942097; 184262291; 697915325; 419002204; 149236003; 898915383; 847176023; 395199352; 656869813; 707842680; 800671491; 537949516; 926062478; 232078956; 139060572; 924787823; 253109262; 20375925; 89815406; 100258326; 966716240; 943541002; 717744009; 787679220; 687647881; 493817776; 817448728; 257970540; 810866105; 141604906; 358306054; 776977509; 363130503; 513825762; 998760571; 998356719; 324368334; 580253382; 519580797; 570844020; 715684889; 315473019; 49072851; 508711666; 995876752; 408269070; 628748246; 59555216; 506776737; 461443393; 283353345; 608189248; 797503564; 836162910; 377928741; 457550295; 324968660; 410800720; 200313302; 901292750; 833250159; 436144304; 707758788; 267749459; 804483462; 52918975; 397335519; 796360897; 612225389; 767012807; 113321643; 620696030; 113820266; 178450313; 697155928; 613507776; 551871482; 737386087; 882441629; 958565563; 952863862; 140073618; 958231393; 589424726; 185135144; 417710062; 797313955; 186078950; 570707058; 514513684; 37352809; 282544221; 382384210; 798410320; 140720687; 405660084; 493941546; 601085531; 198018405; 62340345; 94101442; 45399524; 870494516; 865955322; 723554973; 171498166; 883964931; 764539842; 608222461; 71640960; 446493794; 133211198; 108411161; 293645761; 429474864; 939516301; 791817781; 308459625; 447485394; 950758601; 999531631; 940578496; 219411620; 341116937; 641962079; 750827771; 775299748; 303180650; 906868409; 204207846; 97042683; 65661802; 388535964; 412591276; 416859497; 216786621; 479909856; 861633571; 728974077; 869461065; 773789902; 566293437; 614149181; 343123668; 35163812; 72826970; 552486119; 665433736; 564795395; 640465676; 586777476; 694156637; 594202116; 259555719; 90627804; 593802781; 270625542; 99366167; 203058221; 52590351; 391564726; 603563747; 447412760; 945863113; 376856144; 653854652; 346141118; 502895080; 224688055; 134942855; 169144956; 232271940; 592365279; 405505080; 86909757; 945925330; 218377727; 590708721; 490058061; 28189435; 701505430; 581394443; 908073195; 406705884; 725264687; 621885455; 512485571; 912057647; 288940309; 169796418; 716211630; 398938393; 915802552; 371715301; 843655439; 852821406; 7379719; 132189037; 998829660; 188939417; 356778987; 92198633; 670558547; 667680433; 270284608; 904862789; 78357598; 906618243; 511349689; 780176215; 18125042; 162405450; 817056828; 591116868; 346633153; 380552864; 614032186; 332863159; 833252284; 465921229; 251682389; 843091265; 9169544; 109048041; 172282158; 161379540; 721234131; 66794052; 732461106; 506306742; 256553515; 340285247; 935824576; 75659822; 380330783; 793039476; 237625382; 803170181; 35274381; 830596382; 464853621; 487545536; 821744498; 652607434; 496588420; 687384982; 699399627; 70594307; 251442115; 298057422; 477394417; 164837461; 250611419; 998189708; 706811300; 955065647; 890764476; 731020470; 963233464; 445448825; 459309330; 980369460; 492199603; 889138818; 246981363; 333995270; 458999039; 983410294; 482757429; 717539177; 616332726; 46553293; 674745752; 48600257; 367098880; 806247562; 625295688; 699601276; 50885775; 911509850; 538844814; 827766470; 142558354; 5120653; 619099823; 779262941; 950287566; 492216660; 487259474; 389102550; 788575361; 595643031; 223979653; 946678423; 462033493; 986592525; 593352550; 662079648; 615254985; 381075875; 285781416; 920774892; 123990354; 7642886; 880728427; 250121837; 147806435; 667728587; 48494157; 466875106; 589384633; 438678092; 749761802; 805692707; 863896663; 64304501; 438729963; 742751265; 872610969; 606778014; 932351231; 432870767; 589587147; 77846731; 160503820; 314904606; 219392231; 403738644; 189509473; 76493455; 640786605; 935435032; 78069564; 332678494; 472895927; 54436614; 984385838; 788047696; 982969656; 924631685; 729030317; 608148300; 931771973; 553909071; 614387377; 936876741; 795653029; 973982396; 736223525; 693683324; 534640149; 35253693; 222806424; 216770662; 884041549; 302578549; 689384229; 134050994; 100464724; 537050312; 765114859; 345414955; 631022153; 854630404; 408594653; 294442033; 406716511; 844625072; 44315075; 459833534; 390923804; 125730126; 101195539; 597508169; 717533794; 915994667; 52077401; 21090568; 672883128; 409153209; 196002440; 80658097; 961074704; 736183168; 808520994; 826200405; 47057328; 92774242; 95886216; 623442280; 739367536; 191026639; 692278691; 537637247; 537247363; 981697533; 371311332; 248448171; 561838845; 516644909; 881082062; 440694382; 81000096; 943933394; 687880704; 676037296; 375911857; 817552907; 258373260; 881226399; 464643851; 978774698; 49444695; 350268855; 563448863; 362438092; 970626506; 554353997; 734565833; 542032398; 175582544; 298270202; 287609736; 660670233; 683791071; 396109163; 876888663; 991111263; 631367508; 364094331; 876097191; 369437440; 228842873; 488450074; 911360650; 992454449; 967717535; 951932712; 662479410; 96641967; 143659822; 507125269; 977777499; 708992967; 972482057; 566844102; 336043380; 813060644; 349385059; 917443587; 223220003; 566932995; 169319676; 172216017; 571450955; 865740288; 185167813; 306818048; 898252501; 153978412; 158786163; 938485904; 272370562; 903836928; 313041514; 587712317; 478452473; 506728329; 607674144; 647405864; 167393292; 476475855; 165745887; 589742891; 824693663; 863753186; 79914725; 334083057; 63341280; 767751288; 51460653; 925134194; 224301059; 319231096; 347423331; 320389221; 483633482; 136883141; 100752258; 73926087; 842199766; 646217872; 747107281; 571791896; 28444942; 251855323; 352105490; 982552975; 111452523; 151178798; 436225946; 801416953; 684891089; 805172230; 917849135; 607329545; 966992665; 97948961; 344191586; 921651440; 447042916; 503036538; 832947322; 132347388; 226763543; 904685120; 748923658; 239475811; 592388209; 792215450; 879598668; 956609297; 871618627; 184872916; 131475466; 797240238; 426871754; 238242657; 184352166; 434067197; 76810734; 664414810; 602888680; 119839802; 526524765; 833539607; 432473712; 79331156; 751993769; 527845274; 908787850; 691768898; 890998586; 105334182; 957542713; 434382156; 569518909; 948563423; 894355818; 523866029; 115221272; 6744199; 352434384; 617774096; 64083445; 466018876; 678396955; 938004562; 777455809; 54355508; 500347762; 802014403; 120821223; 509460888; 722171649; 435134284; 683525175; 459229050; 868414680; 974772475; 799829253; 995976281; 716897108; 492744407; 486069460; 541357860; 195679307; 370205034; 77676430; 549400064; 151022726; 286233203; 68063311; 909107695; 901384974; 679478588; 219545058; 884622513; 396038513; 393446745; 368426319; 471250956; 905938934; 639822755; 851206842; 680813257; 548987471; 132314410; 72587405; 541149292; 705589059; 697154968; 869086704; 550143162; 520311187; 665526413; 570679823; 923509313; 4912212; 832046583; 947611115; 214702149; 98522999; 162175966; 96868044; 566904955; 895067889; 988383296; 957742934; 961954191; 727237571; 538969495; 976771514; 246432704; 989756732; 361994716; 30679845; 670285846; 483122395; 549244483; 121121426; 547805193; 12545488; 396479234; 814713828; 639008946; 210712956; 269924870; 89316836; 165144976; 330994680; 446115671; 148685934; 635241726; 370279875; 579214642; 782524018; 420115210; 396977481; 37863909; 438672305; 591486826; 586415211; 920169895; 674715168; 965518556; 865850491; 728515089; 983732207; 381162951; 912712524; 17643208; 109540704; 910225970; 97847418; 587051007; 676220237; 18904025; 959038019; 913811522; 148011983; 89793829; 686367744; 373329377; 203461540; 861869669; 496104214; 875124123; 313770236; 863982276; 687209589; 142226371; 883075725; 665245862; 214495766; 568541616; 945487020; 365530074; 570640409; 362257350; 651184978; 531458757; 761605439; 160455445; 635550563; 693820374; 43361353; 398132337; 971047098; 713392220; 606761403; 209891738; 39743260; 702507466; 20043366; 838735703; 55762404; 769294647; 812132291; 975560770; 242842641; 900416151; 71018767; 782696746; 99691068; 185258526; 222673914; 868562818; 169319514; 536478360; 287421184; 341941677; 169286393; 409051003; 839842461; 869218082; 633764226; 114540651; 949228402; 530142310; 281447409; 740027257; 517096274; 898318011; 63685075; 378744503; 610545107; 304231458; 644847196; 511516533; 682959351; 149315847; 266814040; 319263452; 267776019; 848238787; 750926765; 840045327; 862325117; 348733864; 298138703; 284103598; 598492580; 156001880; 70279098; 474460193; 55455136; 869473966; 756409230; 758012695; 298015263; 525530124; 386557302; 211952772; 335553538; 957935662; 244349152; 354739297; 720795168; 485356310; 123375568; 127688490; 524548650; 233259706; 673615856; 905091702; 872192099; 565369869; 678722703; 998707985; 214658472; 14750930; 551578757; 954889053; 51954916; 193284787; 168201586; 728476660; 929438341; 351726612; 315727004; 861429475; 536919812; 343507402; 340090007; 957939125; 896896141; 108832853; 969619126; 854127712; 908048109; 226093267; 481683719; 862001740; 83009830; 719129431; 947949324; 682702677; 765969829; 920320169; 430992852; 944702337; 21696046; 595218194; 71718902; 456900254; 401937727; 940533337; 494203404; 420795947; 936000370; 793390778; 898448496; 886943470; 723450332; 167326337; 671009820; 905745253; 79751207; 44135507; 471347988; 76469739; 852248037; 23228115; 855406855; 77040443; 490388316; 718114335; 158903506; 46272561; 696770576; 233752836; 236411556; 840163347; 655377204; 430704745; 690839716; 457192987; 311567722; 643311361; 710309085; 719450806; 692934508; 675093608; 602377699; 560004843; 887192737; 22411572; 700243769; 778601769; 475398829; 416714946; 333179498; 377534651; 722464325; 572207172; 774386588; 605749620; 126491177; 722624992; 792360758; 80682917; 702867878; 690550568; 690575300; 727975933; 517876721; 673831410; 103814711; 280342868; 430219673; 870955233; 922615792; 495412461; 273205147; 303205068; 217276601; 155926139; 650525550; 607250188; 153066784; 754460842; 123776351; 324631794; 201912444; 902626410; 200004682; 196197395; 991865543; 851427095; 853377876; 76141036; 745644546; 141393876; 705712792; 842861082; 625257810; 772385545; 894792161; 252360651; 219017589; 277016199; 302023929; 623389210; 253319888; 608772325; 244520059; 331285887; 24354541; 709469850; 69520653; 114155173; 145349975; 651754933; 414033701; 760143896; 357131644; 885091615; 692610222; 754394433; 602591700; 120210569; 480536385; 872061791; 693478065; 347202054; 507368878; 850778921; 811337843; 260106746; 371979786; 8929237; 905410654; 938041333; 960282568; 487617716; 997254909; 865594720; 73572436; 696694378; 193410759; 852642201; 613898265; 142698161; 407904688; 432888090; 418918189; 614915278; 49054610; 571490650; 790831059; 23777042; 828384584; 336056479; 261645030; 378464012; 219823651; 558456330; 139998861; 261295658; 242664484; 996227168; 29251656; 141410053; 250377572; 803100611; 92012; 430968598; 442929607; 105511481; 292521351; 156235931; 747991148; 810091891; 477555189; 500494900; 237715401; 106614576; 52224509; 240033921; 316130890; 166783020; 530933598; 504461133; 627444297; 341890771; 493617553; 164265460; 892682518; 285126970; 874065798; 74491465; 216537320; 46381117; 190774584; 730597372; 81085129; 824801693; 4264951; 314183570; 493730080; 609463874; 262977862; 552598301; 169742682; 2717924; 523912583; 489606623; 48086801; 97752479; 205989894; 777970808; 883350775; 589463072; 356072888; 237721004; 620799002; 910633983; 438918286; 616077332; 432510106; 755711076; 840235599; 131107530; 175183969; 913891278; 606759694; 296531310; 799391173; 439648937; 469221439; 375101853; 729058273; 835224804; 703889654; 985151777; 961183997; 967729004; 25460789; 769207088; 773819302; 334545345; 34959312; 644985576; 466276560; 36864997; 805694317; 478388474; 634923222; 127178231; 551939651; 592766391; 967506463; 201609935; 475015688; 56367885; 537253900; 707778631; 300635082; 71339940; 751600620; 325887850; 475631430; 306752845; 732378524; 277186924; 676604047; 306397938; 882411484; 7467471; 762004370; 934014113; 342600712; 398796987; 467505420; 562673092; 322440937; 115173532; 397510632; 880904923; 260859141; 798193717; 506262731; 203215006; 302682278; 513286514; 702090227; 960404344; 689154089; 549080107; 123121095; 66886473; 531905326; 118024980; 2530105; 847815736; 958177182; 194873862; 803381291; 75976161; 53148937; 359540342; 51816049; 823380223; 680926877; 450335756; 486075014; 505281008; 22328596; 268572783; 763937705; 31285725; 1490149; 193186070; 548215060; 904011013; 226966158; 15883576; 20449347; 380003454; 124948509; 851676191; 202152941; 230750250; 325540143; 876610807; 793297544; 210910282; 113591317; 675455634; 973910660; 343457815; 123802311; 208383568; 659759003; 957791868; 81115208; 83357213; 872503697; 458340231; 247136352; 264154363; 702945225; 612682958; 636787450; 571342288; 71868090; 511751863; 749668031; 189480048; 896177882; 69178461; 687856429; 688005027; 300743505; 146813275; 477909257; 902093771; 119359819; 177535230; 938285764; 334990553; 482431990; 333785572; 366405620; 308207640; 181625642; 188278251; 1120001; 764630472; 561960298; 495954878; 802895099; 778447631; 948605242; 672191870; 249794636; 459235334; 608424875; 18856435; 816614426; 754836096; 321580704; 762034905; 220697054; 499501758; 689796596; 856012205; 84585822; 31154571; 858449527; 335102074; 287243405; 972515664; 160496370; 487348865; 862413755; 565012391; 379906906; 681231134; 486597044; 225038285; 992991410; 251512361; 557519713; 802457639; 999649295; 303729162; 228166252; 252031495; 934957882; 370582676; 575190019; 922739612; 480672950; 90177929; 502430701; 754680920; 176478999; 107303491; 695587054; 754050276; 441217963; 656906828; 703268637; 176417343; 446376324; 840483470; 528163210; 560713899; 12872649; 583295124; 310247923; 385193287; 723396763; 364211143; 236379543; 476926827; 479110903; 390236327; 354347068; 680329802; 131435850; 899084927; 49142712; 235375070; 414619974; 814202848; 262038252; 182497609; 621656340; 107838354; 207989677; 611184534; 136332834; 357256751; 678214351; 243755527; 694268024; 445207774; 641331052; 19400354; 301687116; 405520482; 854370923; 490079338; 199438685; 698924799; 361927749; 551884346; 542364845; 430584064; 73885538; 931301869; 796893733; 277083243; 299548105; 539576943; 756739912; 589122630; 153394732; 850874263; 49440874; 139295255; 895911239; 848993590; 253215267; 352119307; 458565631; 500622962; 665816443; 40493780; 924774054; 173275480; 576341301; 640972481; 619584790; 217837207; 203572536; 462705768; 817710546; 11222125; 833703791; 224118611; 894602733; 844246186; 242786851; 1626716; 337444821; 572449080; 907079174; 717099848; 12872406; 700155314; 853790999; 865319040; 14991083; 534951518; 226785982; 170023525; 733952829; 216248691; 295065498; 318834367; 982069084; 487305924; 665621841; 563012424; 843918839; 290569547; 412725567; 566748231; 885420703; 194237836; 607262707; 825779317; 495416864; 753284858; 899707563; 673363538; 947333975; 796603952; 277322975; 890561749; 316514452; 367215622; 76275368; 967089384; 677323852; 409177393; 566428052; 355326702; 737727008; 495855625; 766195686; 591975746; 166650278; 964624876; 479743051; 292691259; 199085408; 459115576; 431247567; 835225942; 398057778; 57764488; 780606895; 676680772; 651343600; 498065609; 415766402; 676568606; 473429865; 949108920; 346661088; 797251586; 724409481; 921633268; 150607069; 786038434; 921325784; 866019834; 555591873; 82722367; 175508451; 162063692; 235955513; 966586059; 552570288; 566268647; 133973616; 39296087; 632149152; 743910111; 491034962; 625168313; 522775644; 634468589; 698563565; 598973149; 329683564; 766841271; 703372805; 584353424; 311709842; 622816196; 435562461; 472587272; 208596878; 545711741; 189553679; 348667437; 37848836; 80982679; 157771245; 683995160; 515474203; 20395949; 160026638; 201831632; 12092947; 338727075; 621943181; 818835146; 634923552; 579349428; 769202923; 291288997; 649375760; 344238786; 518246554; 549849341; 196134627; 703996673; 128749066; 576438999; 923373021; 131735927; 423690859; 404778736; 488340349; 563419568; 360665187; 143544584; 821226407; 857155784; 688130769; 356670908; 583430317; 933083858; 253716341; 878497189; 341439357; 275767077; 453487174; 264945563; 656200217; 448335079; 719359259; 295787903; 602088793; 186588769; 967403504; 689102406; 37857585; 96818128; 446289709; 869604933; 121273503; 234559218; 263247276; 159402397; 765407457; 533557146; 879799386; 731990380; 89076708; 261975271; 704433446; 72675785; 990723421; 531485340; 968672883; 161386409; 518837508; 96900738; 822563796; 719697634; 831892115; 685193391; 762088336; 314795525; 588570591; 54547269; 326898331; 209515675; 537361501; 768542759; 2704924; 353474983; 178067655; 659994441; 645943601; 75493661; 19757886; 54004552; 771076364; 747034842; 32152706; 994687684; 860790309; 989995866; 643003328; 38917322; 500591536; 159139808; 835673109; 583146859; 82830911; 969237702; 346722052; 795972089; 405762595; 64555013; 147232281; 186284975; 340087277; 258461662; 28340001; 145133800; 931973547; 977195422; 23307560; 748831944; 835828643; 105465266; 537316570; 894541240; 488472448; 737468322; 93677690; 531509403; 992979434; 955206809; 251848145; 535520842; 374726935; 839328306; 308362059; 755571984; 525891006; 45186530; 691137656; 239260643; 826143281; 3924534; 339948134; 2393386; 376999174; 755164266; 17805246; 370503312; 738576104; 828399565; 37747151; 331118012; 383960632; 890037686; 234334122; 150743545; 541574422; 922476348; 980138490; 349402957; 263458211; 279693650; 755435040; 190558603; 418132508; 537504248; 144729177; 257038397; 63633228; 209961314; 698221260; 430404905; 285123583; 283247740; 584047566; 106525573; 80268842; 809426095; 27285556; 641904454; 33092207; 221902235; 489767643; 652219124; 812581543; 468805520; 260634403; 702302943; 323164098; 637775531; 329869128; 974539466; 378310722; 38038584; 148147175; 74163375; 53138113; 976409102; 256793272; 372451042; 185849953; 87886840; 462708284; 454349840; 755634114; 211069115; 759714956; 607269525; 790889615; 121622359; 142729995; 321696264; 365404344; 718019825; 380391820; 858827796; 394484442; 613536961; 20963351; 666425786; 642419765; 360168124; 935507649; 852978796; 810032696; 495820120; 865268181; 144148395; 718055139; 316905052; 295707808; 720513159; 451974842; 640986466; 116606312; 455772103; 175216647; 746986152; 220381381; 807199723; 249624091; 55425477; 33961874; 801665859; 319755998; 839492201; 596883187; 152551908; 713807824; 650475079; 545379673; 688469607; 257173467; 731427071; 770996635; 977306881; 400362045; 45091872; 467742437; 549099436; 424165873; 688796598; 816722397; 245737575; 497824853; 209985835; 291790575; 110785224; 855942913; 682613937; 925806986; 154585802; 874890541; 513869099; 115113927; 191049290; 331046489; 436709962; 520586521; 262599836; 812398202; 326919529; 646884061; 70056291; 105526753; 142972695; 41266850; 436870496; 449334247; 351602553; 157767359; 646967564; 5847910; 91022098; 291702335; 864884740; 147364380; 306041485; 430528514; 397392421; 787305883; 785457961; 400018428; 142318447; 27267128; 424049315; 286687863; 186559212; 251405344; 191162445; 694171325; 897305968; 157468355; 891272261; 109117703; 497034604; 407375759; 55211198; 257306500; 161683695; 591017300; 111973328; 482039376; 440449701; 380248121; 24366404; 757836088; 30910964; 905847343; 62988958; 565659007; 607931516; 435533247; 253777236; 249524255; 155785714; 944839240; 788972092; 525256327; 390837119; 324737593; 420003876; 483708665; 198201857; 216384065; 582581688; 758866424; 95912084; 28521379; 134313930; 414898912; 50766360; 600958917; 632338924; 958645060; 501049669; 977034596; 43690804; 923354576; 162291433; 918883344; 540157210; 81303463; 860572571; 524780466; 457263485; 862777508; 264412304; 601474420; 786417436; 218546496; 707340844; 955649750; 158423727; 780757978; 138787304; 904514775; 319847020; 879599473; 26349047; 253296952; 941332016; 267616305; 945582051; 921822422; 579802344; 158619125; 403561693; 629403755; 490875031; 677722343; 885531344; 303664799; 173147892; 438699578; 463391765; 924448359; 706404864; 890551474; 630939371; 344450522; 843976557; 396579427; 805243468; 54922797; 666903987; 776786585; 649592321; 94063542; 567100627; 428669819; 820724270; 976078849; 333598183; 740272345; 9472894; 519708345; 432143133; 798309401; 986123297; 600581039; 300753822; 656331863; 897025561; 505910358; 916136263; 593551690; 635551729; 27142402; 34915468; 590600740; 402802610; 807837063; 715601358; 193469435; 212214600; 941352562; 384664210; 681320750; 713121618; 530388947; 365940642; 997589877; 156056812; 336487584; 736332050; 813947456; 874367389; 110458863; 365194718; 45806893; 650006198; 468944422; 466913215; 749314184; 671356418; 799895305; 225592363; 440294891; 33335743; 851193943; 963633821; 757399992; 845109834; 545099422; 946902805; 406294836; 650242597; 14637192; 196251920; 550757873; 96495476; 237624208; 775455047; 622591480; 906271747; 214718068; 185591323; 94952195; 581819315; 694980611; 745120141; 915499347; 748278701; 633511920; 144488003; 666609223; 600749702; 31098737; 508741918; 972145225; 157753564; 237626202; 635239306; 231600519; 242112745; 372375813; 761969309; 16958408; 300319490; 276776283; 47139665; 378025765; 846801746; 819358591; 718742601; 478949542; 903948506; 575802445; 832652970; 16477097; 193795462; 589414169; 675268046; 811370312; 937576852; 917417449; 185074641; 826683548; 655956446; 324087399; 333761806; 37884453; 159569628; 413902223; 263011329; 613749098; 640516753; 811502529; 997014111; 558709667; 593312586; 652999579; 713042049; 640530678; 795907205; 58296997; 5779918; 531357883; 632621011; 438418554; 247007671; 706823417; 546197661; 585925234; 830034271; 142834711; 354014519; 308803712; 948147678; 101032523; 511626172; 724880770; 122823219; 869204075; 205698691; 859277975; 649904171; 651812879; 781676952; 291704388; 48256992; 980883852; 44580292; 647485547; 830005400; 993446947; 294489882; 986809708; 599365087; 643842297; 657333976; 357253791; 398267546; 452289351; 380254489; 419375400; 526999252; 905238136; 133785845; 155646545; 997917643; 155644299; 158874631; 159099258; 549501240; 75501958; 258487471; 635259232; 808783947; 112544057; 955583089; 331371423; 852408065; 68909064; 922943663; 304547540; 491141468; 451777060; 792556049; 117199630; 874123773; 284201004; 156234167; 246149039; 904614522; 151025834; 998093899; 150984435; 990082075; 788356074; 754459656; 656211190; 793536570; 760570746; 246782063; 366982251; 996956613; 468781991; 823529875; 68012383; 220705378; 551937214; 853094121; 700836205; 460071446; 814823631; 816356231; 496760944; 42682993; 241948488; 960710145; 992404263; 655042903; 188388506; 308781463; 476925542; 673692857; 265918320; 540517399; 845233919; 968740565; 171372741; 12955042; 221012981; 328593338; 978274785; 108618597; 983679546; 356543336; 499924856; 454713166; 131231082; 619896204; 979837961; 584371580; 838251137; 150514397; 880464395; 289618124; 122707954; 970783817; 337376341; 308586439; 464986650; 841448967; 270034850; 776211940; 84998276; 487118423; 362891082; 962214481; 19374523; 587980757; 34907071; 588406678; 831272940; 797310771; 861445469; 762867708; 434276559; 736236304; 239846299; 303009375; 238925540; 358961644; 252956070; 228485456; 706342921; 783596295; 159369318; 105387654; 895811481; 912338592; 689524399; 541158479; 68148043; 632375786; 63202909; 359524886; 64687992; 853407528; 337592393; 528907896; 844131799; 95937968; 412398462; 37527326; 22269183; 619083463; 542327708; 831127949; 809320379; 538117152; 988994249; 737471173; 771226652; 443448517; 841960765; 24661685; 931066885; 97778247; 938398770; 156336162; 696298116; 929058088; 576528718; 277072177; 574614962; 112969307; 326512342; 767985658; 116845106; 561684704; 639430226; 283979809; 379398947; 450599552; 448309973; 172865646; 180293354; 148408857; 647193833; 857925443; 66574543; 624269443; 191155214; 157487477; 750640198; 641023377; 156785898; 572435761; 837555642; 417789155; 627286204; 690197031; 614013242; 207228906; 5081552; 309356296; 86025595; 66571346; 801415372; 439452798; 708416621; 484172828; 57543287; 253731464; 40421986; 23729660; 643862447; 427506060; 735589600; 578611003; 554435762; 453020574; 866465878; 315170626; 677340828; 338024326; 715899750; 58091038; 642640449; 904065578; 624719806; 210041724; 370649884; 6176694; 800034973; 856528159; 123271985; 671525573; 559350615; 246934346; 719086201; 795715840; 930590041; 265065060; 398571241; 717083029; 548786614; 351257173; 302901296; 998962598; 233355336; 191758626; 500372507; 610924613; 389657505; 790115508; 678043751; 608356033; 367549996; 578616980; 212651769; 802783955; 352423374; 60999796; 22265752; 176833355; 272523510; 344381619; 78433501; 476145830; 489656547; 970156113; 999750092; 40976203; 776772833; 538031929; 549610938; 196520051; 96094493; 345605987; 546187814; 216833120; 876771838; 824816573; 649995435; 286489382; 321151153; 542908898; 720660057; 658521399; 447726412; 160680599; 334522954; 948237605; 813270377; 761775470; 595151090; 405710481; 93567640; 212305786; 724107659; 61415952; 651631718; 545751084; 630468928; 590234002; 286583157; 439917074; 708266855; 924515083; 502337206; 72182768; 29098221; 995416609; 286225671; 200169268; 470071249; 635196129; 884577351; 950165666; 726454174; 452554720; 657613276; 873497506; 355499768; 398466391; 447472229; 919579030; 330067693; 156724060; 186011527; 247096979; 416628426; 276948638; 727949776; 482901337; 523719507; 937403003; 188743803; 31102352; 39673364; 936647089; 592221138; 437295761; 352380082; 145500255; 598835630; 102232431; 428690733; 133201008; 706917251; 955064605; 445683542; 847821811; 13235533; 585252510; 712418892; 271086424; 844189815; 314497363; 337696241; 386646620; 977617902; 149102659; 746620491; 350033754; 751906858; 859696001; 614031666; 591916642; 766155826; 603708469; 878475170; 12615255; 767415468; 546397593; 444423393; 196565011; 952199677; 218653466; 261017912; 487837282; 586853024; 72955245; 191710681; 945993210; 458847286; 871144849; 63914246; 552249496; 614876070; 739826919; 995810018; 841067875; 203427763; 700977803; 785910286; 130114550; 904765032; 319649434; 191209334; 141868339; 265335796; 908678341; 44895986; 594201139; 618834845; 57243166; 447023205; 874633019; 666359197; 407908348; 319405581; 640356619; 973905641; 601993077; 604020905; 506466170; 850956425; 15638830; 166955425; 561791267; 686346554; 115903823; 113519442; 131959057; 998330503; 288942613; 540488479; 995492474; 24933017; 819238368; 542926850; 278070078; 18012023; 734826254; 305179231; 636667406; 549617006; 465736366; 211009901; 760574807; 496184509; 267791089; 724280725; 955002545; 279342650; 204909994; 924593450; 242610646; 398865073; 104097922; 152429363; 591936579; 70159688; 696882281; 565161438; 668213993; 262052060; 65162662; 824074537; 371807585; 205439089; 454405832; 652119639; 742893994; 568191062; 783780366; 651636053; 972684608; 130785150; 518796688; 864996374; 810546823; 251459691; 281815316; 556752589; 452680129; 329805361; 560188041; 948729184; 814768698; 335519719; 54320054; 906876265; 997068773; 300667398; 282124805; 466014012; 262003898; 105531224; 578451497; 161444026; 818552487; 569446272; 344381419; 963256698; 505947870; 263694571; 959422082; 413241059; 207216939; 892025765; 929735911; 882205191; 780114641; 128697851; 559131550; 619636493; 368263992; 510119515; 934041601; 12537274; 259309639; 458844880; 575782848; 809648547; 5659203; 362113060; 185316928; 326190738; 760588816; 592625557; 348453953; 710827666; 6364237; 564715624; 373729768; 135923549; 288370763; 194726191; 924679955; 389628147; 690749079; 107248236; 381277988; 13501494; 803167399; 283864282; 128391205; 678096064; 628778993; 401147445; 853061843; 938733155; 376047194; 427554187; 562769918; 531692029; 671773361; 537788959; 410369089; 700516512; 817876876; 886293788; 254659725; 715459908; 279371174; 156237833; 903523154; 61280409; 545770024; 702572026; 167674327; 497876364; 598193429; 411293663; 403393801; 856029844; 997983171; 720398842; 280107103; 948014520; 376669076; 817032944; 223137201; 164733036; 850968841; 124552965; 116162950; 615170706; 908498760; 640711656; 96590479; 753255084; 169950830; 236235204; 501972611; 814946220; 158735517; 497504936; 183151501; 327233513; 132305429; 917442090; 136542475; 399703145; 736350544; 116325304; 585469091; 416333078; 948692662; 545222976; 884947002; 762925102; 968375974; 593349218; 343230522; 72541035; 25622333; 984265093; 711829917; 590802186; 696573831; 377950466; 441429880; 190181372; 300642809; 401174542; 13682513; 864753240; 41730274; 654970054; 646606233; 612359979; 408885030; 529793546; 817149085; 327861534; 70436246; 882770297; 546795207; 902217238; 280235664; 333829531; 979363251; 120926588; 627926261; 690886778; 777141234; 231247195; 868822225; 67241343; 278372592; 607858675; 160797347; 898024399; 245467183; 746763899; 41483768; 780629919; 925213233; 432760142; 998787104; 927980079; 353325402; 170844807; 127315951; 718660702; 898962647; 454313126; 891690896; 693832531; 103644824; 135015818; 69968330; 637613636; 269185139; 981652041; 594787261; 550268543; 853595549; 25608167; 410869870; 206988831; 702393255; 141481409; 819718926; 696216512; 398047961; 29128563; 216680397; 859924445; 833767440; 980582758; 793198904; 454345072; 185322622; 264945057; 943702960; 3428281; 75771316; 324518343; 824673998; 820124127; 874666249; 786552001; 798106541; 456904586; 52241516; 164280712; 834502254; 397598486; 522035539; 476976795; 874257195; 92674321; 705030142; 5139879; 324765015; 528848726; 697520162; 401171623; 975321740; 274174906; 486145853; 439917751; 281054235; 300416623; 959862287; 898484516; 572947358; 102947879; 105184660; 557067564; 173018541; 516361737; 171972566; 793853857; 281377037; 927836500; 735073784; 755543807; 500945139; 575391144; 360300261; 157837226; 680880279; 630384423; 580773216; 281793424; 755954266; 740575201; 924125544; 947495390; 582396865; 119919317; 597984681; 989564249; 244955979; 33834478; 829483558; 566475435; 173006646; 465682659; 526883062; 33230870; 911861585; 886787122; 359362855; 810163567; 219292679; 910460268; 922477065; 200061409; 324318509; 292677602; 40409568; 964410137; 412792573; 869907446; 160425500; 114062228; 406156927; 173489601; 604756042; 241603759; 687689863; 135015530; 626402002; 59814971; 664173393; 891037799; 611483413; 216661426; 9593361; 177856247; 211903819; 861936957; 143419204; 594108706; 548742799; 247156831; 347718747; 324323347; 631674453; 646384067; 834891733; 87051233; 339815246; 100443300; 850390664; 5675643; 128147563; 719976785; 350269465; 74410097; 206575141; 32786053; 651338274; 545730925; 653381868; 165453830; 304948106; 485957523; 588335650; 294677046; 318017537; 517677248; 707967166; 404657146; 872719093; 541052357; 563936387; 438251297; 776841137; 204978386; 802107491; 408335242; 832314806; 237755133; 353557070; 751816315; 829958599; 612444995; 37406965; 636922026; 532548682; 543669396; 633929606; 741219339; 678299600; 156436834; 231755252; 432766802; 763956104; 21405365; 727878454; 884328990; 168187109; 609172858; 306431718; 88392317; 265741404; 334870911; 678318728; 362741200; 56519518; 863252453; 983860376; 465239187; 261646502; 65602235; 484583502; 400178629; 946479624; 954123456; 617921721; 909335952; 729747162; 179827756; 601219364; 149668612; 244390766; 920004411; 93998213; 115349062; 568523639; 589643334; 160298099; 412365247; 687940535; 511075809; 454831845; 15833111; 553619073; 567386919; 986268015; 494237450; 615339071; 403808253; 564784445; 968845658; 581694536; 41934964; 608075212; 932539464; 825011275; 426904252; 550655011; 628663520; 587448286; 13155263; 694299757; 998139450; 402770935; 601017253; 473859303; 450810423; 692061422; 371354415; 707700007; 696067335; 988596117; 994896374; 156686987; 90175576; 710936140; 277339305; 587933534; 778303533; 811643741; 675086127; 478838290; 40176237; 794915475; 95817686; 348146223; 701066500; 130241518; 567456621; 3883997; 653440175; 239691094; 162399616; 34388533; 285476333; 568548574; 356100042; 900107167; 647098215; 398997170; 815002863; 749035479; 395803339; 118003746; 526313541; 498523326; 888731431; 739347198; 776781589; 249679789; 245660446; 760496796; 132697318; 951836075; 177833157; 183510763; 141813975; 416613228; 176609149; 446365456; 959197643; 117140485; 204243776; 964118750; 421038929; 727604614; 753462634; 992512051; 338767147; 874918365; 94241566; 322400444; 34049754; 750633923; 525104654; 330956926; 153643449; 701916774; 1974943; 828804104; 477902811; 260347886; 138230605; 212662097; 524106908; 716296005; 828932965; 564117401; 311623521; 570111357; 48325583; 565309957; 151119535; 242009148; 832076721; 93700992; 65448813; 714226256; 881904500; 397913555; 986394889; 384786719; 202087600; 639755912; 265723526; 207546783; 177620320; 47266697; 695005001; 355447187; 671502360; 946481749; 317711771; 33565289; 373501580; 443937709; 924661503; 54600948; 321606620; 794677852; 305184408; 273347339; 596625910; 348837334; 343935274; 687453049; 663418681; 356056884; 263412467; 220673159; 277361060; 889447355; 948711518; 901454950; 470004238; 413819728; 382283961; 138417452; 605740722; 996157939; 711745139; 249284275; 327075291; 402809192; 744453636; 19698837; 944445663; 148852387; 361207738; 350373342; 548797283; 179279770; 886151107; 401742530; 189683524; 854983356; 836591923; 377665710; 95275059; 88351156; 83111314; 517393609; 125360516; 266907728; 971155337; 201948823; 153189381; 71926127; 134493358; 636584340; 18229555; 162091798; 670572871; 774949121; 540472520; 238339364; 824761330; 496437599; 741436943; 515144480; 654880175; 951370196; 222601195; 131655834; 91108166; 38392678; 295705870; 333196877; 872305877; 318667201; 412556089; 797259633; 434088012; 590256236; 781427900; 391680790; 438575783; 876507659; 112118339; 32407553; 414778348; 688324718; 565394764; 503358945; 379803959; 445737035; 158699961; 553418088; 36381714; 136811247; 114807249; 384307988; 730617848; 660183085; 945754243; 742211791; 290023577; 53871094; 456702202; 860380860; 32881012; 742963328; 970191790; 936259215; 739568493; 69753001; 516902012; 523555636; 466801417; 572381845; 909746156; 607276076; 717724532; 611638845; 9390037; 739247198; 275717399; 121299067; 675833988; 187556489; 589005597; 300672851; 821977798; 960984225; 528519287; 74308208; 960733978; 889900956; 76291635; 217703701; 697749479; 531697204; 549463802; 526821484; 879429576; 407783006; 406480901; 856982442; 909410128; 853820393; 717337144; 1975436; 113457691; 286755306; 869984206; 524137002; 778843365; 763002458; 491295412; 415697839; 967851844; 810245591; 908841959; 949246367; 470853482; 912044787; 866944363; 489180706; 579379547; 174655621; 820175163; 310102326; 633354561; 58535443; 896725473; 50128430; 648758461; 682018062; 197970484; 719322875; 393300193; 454457397; 524745418; 857135998; 666126741; 797513895; 419159096; 305893465; 322591995; 876045697; 9157370; 372496841; 840280011; 210469909; 182676048; 441542949; 16531079; 792132339; 660790788; 809033568; 747316805; 596788498; 938943601; 11710585; 172666543; 371104417; 401405815; 848493977; 11219632; 113419791; 137335564; 795189733; 532933347; 237049279; 665890178; 656538553; 564743625; 880515346; 697863932; 501855683; 713821112; 174165014; 127767814; 94262816; 171292462; 684303226; 125756047; 187861073; 184747021; 248728788; 526809937; 618190795; 553105204; 999145087; 314744628; 809276264; 98401548; 699677790; 930731812; 469997495; 94529444; 367087368; 730046634; 954098315; 493464050; 155362161; 14909055; 348899367; 576815533; 610108398; 972585860; 963624864; 525984599; 575282552; 685295240; 746114132; 654218415; 348106966; 4922381; 116323393; 251019558; 640453876; 852015457; 212361977; 839103717; 370915580; 489415512; 701815307; 434533422; 124623127; 327372175; 164241126; 279531892; 374272019; 446672266; 558730870; 596182269; 665917688; 11935636; 823967734; 946872136; 159858919; 485172664; 94774043; 367557802; 978952370; 274205577; 800219796; 154418162; 676578333; 543991831; 635814096; 131449564; 487887037; 484501584; 816020938; 498104948; 41366076; 957076391; 228688971; 393366193; 200226641; 670917542; 396614674; 927959330; 906368036; 354270123; 211450321; 56074952; 473595456; 761747982; 120675608; 644359441; 658367149; 123846268; 28826016; 830081658; 222631555; 812113607; 938445554; 68859909; 896170052; 917660270; 315804298; 960116850; 148108490; 70481713; 372766467; 368455291; 16536038; 906137549; 171733539; 470393834; 19380955; 308469556; 206743893; 66281853; 46223697; 231563193; 390508776; 939182438; 343540245; 875425665; 630664511; 977161203; 24697313; 611331583; 217776154; 752122464; 822409432; 474763640; 406470958; 346832724; 941556521; 251576689; 873718098; 914613524; 922112992; 816721440; 207867327; 682027630; 853923079; 977663951; 234947733; 989961493; 705406231; 819229097; 765647120; 512250713; 484346048; 97138372; 836043942; 797492064; 816103552; 835151401; 53709254; 878472235; 15162040; 822513747; 342990225; 283196973; 368704780; 982599155; 691861406; 44160637; 689123636; 488392953; 739442394; 639203625; 602709379; 601083967; 487668109; 553726289; 228982457; 12781622; 406576517; 136726494; 141610011; 490568773; 678025066; 88789511; 102227886; 606490376; 443784095; 909558772; 467115066; 919793954; 325475519; 170825769; 971543620; 780724273; 730507476; 113617255; 488197897; 631921848; 108011115; 262972314; 195483433; 352433001; 471304983; 16571476; 855604506; 431915080; 857002700; 175380791; 470227214; 954289188; 450472303; 90869012; 53990760; 295339327; 59147350; 920808889; 198219676; 14297271; 181548151; 950448394; 501369842; 688326819; 232845525; 445072087; 252347719; 400838974; 728590523; 200686890; 879921342; 181487716; 757427486; 553698442; 943079564; 907620090; 581796675; 472313640; 882407703; 863863697; 178572111; 712405697; 297564581; 52682896; 860386830; 905416558; 540807989; 337680093; 790898552; 587935348; 544113991; 645261624; 299802296; 149259485; 343034328; 526390823; 408233617; 935906523; 339076508; 755259492; 858861828; 84220229; 890587134; 627352873; 319020556; 116469421; 205789025; 638918908; 515891307; 24363605; 804097411; 630837010; 849865622; 107347396; 902466808; 784128893; 539829700; 451191372; 110862961; 780004212; 459012455; 658269243; 94851582; 496255242; 586555906; 405021132; 252949971; 545820600; 245475968; 875007666; 583706597; 110471429; 72858669; 639464041; 891598252; 656211062; 597519738; 82939104; 300265506; 570124159; 418659655; 449753161; 669346409; 808467153; 880398206; 895019627; 4535942; 265385224; 540624660; 368179372; 519900385; 304265685; 745516468; 149256512; 102284469; 845111962; 873099079; 977390397; 424782363; 154073540; 796310579; 702924834; 136524919; 125172694; 921654476; 49949140; 974865494; 344226052; 294433065; 774046627; 557015847; 867124487; 724849990; 825995453; 798046670; 961070590; 206686022; 569115195; 758154495; 813490932; 87616902; 29040804; 466845567; 715751821; 875011792; 363470491; 903555178; 276215813; 645969929; 30772478; 29865478; 113005018; 874722211; 372614267; 5065640; 958586751; 735277886; 934901137; 420429962; 398790160; 443639130; 875030893; 292523292; 203344541; 296382730; 837142232; 976042022; 79433328; 860629216; 927951820; 137115312; 643448139; 656789271; 137481374; 378362513; 553350394; 444940745; 507714924; 619788588; 743623026; 376223692; 433544897; 769073422; 976764559; 330029808; 441059935; 518760277; 848284148; 327931489; 513552103; 804656234; 801989572; 390421771; 424990758; 479696693; 304837576; 321037983; 920630561; 330470728; 312331798; 877067197; 504523988; 181448149; 305997738; 53381337; 171407377; 185577184; 879406923; 658029648; 193591395; 805301094; 62312627; 659162161; 101624231; 160374514; 534307724; 343502762; 453910470; 14612774; 462071456; 512307534; 853237945; 388663488; 245089204; 537933346; 853255086; 635821329; 893113602; 220085641; 51355022; 735745259; 758882227; 428620855; 685249444; 685220575; 407057570; 568522373; 723566989; 920368268; 645686275; 239782027; 19498212; 66344682; 892944127; 253161072; 173426367; 33017317; 461906955; 461219089; 330463026; 936197757; 559227139; 470602932; 932901662; 838157912; 588909880; 853556782; 219911334; 332886581; 286111018; 995140527; 801111731; 453427221; 114223422; 324331254; 301907602; 939901216; 937704185; 656495405; 477411365; 800542263; 270893168; 109184237; 499120113; 222812294; 740550287; 327587982; 98000374; 231066078; 195511574; 132997763; 419190522; 83958786; 91442593; 391019121; 798120878; 518907373; 814177300; 859541104; 139053105; 256690191; 62692280; 767490785; 767729973; 742825311; 102446961; 347056980; 148347628; 923652001; 136299829; 528897960; 142976183; 263783076; 587763766; 248538485; 489190825; 377939806; 855296556; 957931262; 774533869; 384115004; 827540469; 52884203; 843568095; 877547904; 329275374; 375160261; 426113676; 252282536; 227502799; 436000554; 469912863; 655616109; 506511100; 801207450; 130526307; 725788431; 303893506; 233618122; 480305794; 435037908; 775078976; 234431700; 219064637; 511749224; 962819397; 666455759; 624554934; 987121869; 414687821; 636746845; 747003712; 905392876; 557395787; 158643051; 498868497; 498667802; 833921766; 762418526; 474082018; 443670536; 426368275; 348835650; 494440466; 144679434; 347281357; 745996954; 727317461; 134285580; 372389153; 356087757; 766402239; 870585719; 827922125; 724805724; 340709069; 652278587; 870377283; 848550822; 177383874; 403768702; 269976239; 407226770; 986018437; 407218600; 952942860; 539213778; 667224976; 854504011; 455793167; 550134301; 123397924; 99251561; 142404435; 945732386; 385926344; 498916961; 989825945; 331679357; 155403397; 92127007; 150816802; 718474919; 376352974; 172640866; 349898392; 628597904; 39240242; 179241144; 451211; 932735585; 900332492; 398715614; 370913100; 730681584; 850244695; 469331111; 322172475; 140876990; 395807367; 122030826; 243312225; 332199769; 615092971; 462782050; 881489876; 21278135; 834670763; 640002338; 46625230; 610265494; 706209066; 877090739; 813020842; 512394066; 13779744; 848482323; 521065771; 357050785; 967207883; 143121881; 815604351; 482846556; 391854734; 912290195; 263365135; 369804285; 21131434; 682702216; 214079116; 458851353; 31494661; 49824317; 234137005; 798760213; 204519292; 835034556; 743340726; 925892407; 67436266; 972776810; 466495159; 616943010; 425721915; 7480729; 469834736; 50021837; 206313136; 685059226; 839902880; 327327971; 736641430; 318831489; 219338187; 144583121; 367915659; 945328207; 17301198; 811839862; 674241887; 480136844; 276482132; 432468391; 953201600; 83319820; 65302120; 602959337; 715150627; 81114757; 679203142; 521803047; 107171022; 515290384; 394494585; 933407334; 4338500; 918467718; 571570852; 537434473; 646279758; 40108342; 434957819; 837380009; 49373132; 319319556; 374354261; 545165181; 566141987; 224823559; 273770520; 598989020; 947397532; 417556675; 575825188; 567091465; 728716420; 271720260; 456372962; 444706180; 620806277; 973214828; 95540180; 737934579; 925359380; 102296916; 948916142; 101795493; 556601825; 190300710; 176358334; 785363801; 163177025; 709311667; 782268691; 263388230; 435336765; 870625999; 360855424; 829014816; 548546195; 679107844; 78608279; 262946493; 871856692; 172147795; 149509090; 361331995; 956254705; 148079966; 535704158; 257152287; 231590347; 603880265; 145248038; 995823373; 300655693; 667641156; 975804655; 10806900; 272251333; 962434678; 614807851; 71690717; 793993428; 355082050; 775891158; 414798527; 883894124; 177261331; 541005425; 62945603; 768663941; 44910625; 511843111; 510176737; 689235239; 58674162; 947753274; 768780233; 581057148; 50285626; 111622936; 430410249; 537754492; 361712594; 534803906; 809253345; 155163340; 509697880; 132243138; 997810155; 777305407; 990240764; 405897242; 297608532; 113670143; 476786787; 342887321; 794388103; 182543020; 551469882; 3548620; 109134387; 737779820; 547932506; 680707029; 780359550; 11581821; 275643522; 807295012; 96777814; 204271831; 663546049; 983061819; 274812281; 688307722; 271350054; 472266874; 124699619; 7205993; 309273601; 517597961; 801030326; 893367494; 651634909; 81794384; 775132071; 717723205; 846315318; 689211164; 659095797; 503606401; 934910662; 506407308; 602530302; 316400767; 122567062; 541607689; 192765891; 303636816; 116605176; 876376296; 69965607; 613780723; 279585437; 344498298; 931090463; 797715053; 255271425; 949386622; 703077982; 843209012; 798959607; 897935229; 340392418; 253858089; 230621608; 596355344; 889882022; 475877105; 984413704; 748565788; 475640969; 184150158; 514816680; 194713545; 785267805; 690008396; 162222069; 455487641; 334317282; 49900903; 420992363; 679984037; 190515905; 853167236; 125002452; 786631977; 952780648; 293727641; 493560532; 158792621; 360435144; 231213207; 874231447; 60101927; 374752999; 445286526; 524776305; 454067045; 943589537; 379176159; 504839988; 260562726; 371250385; 280124372; 353739310; 587178908; 827832360; 193425616; 78704579; 765061900; 756955188; 981601564; 759886321; 809691012; 745884990; 591540617; 812761256; 884141116; 885396263; 212149091; 474507725; 418885788; 477545909; 636950437; 51906259; 375827194; 923522353; 114317143; 842679762; 737111465; 369328416; 532716530; 58474709; 521789503; 39654893; 285470103; 327229601; 369214566; 518370716; 263597005; 425379343; 392666773; 883010927; 68943156; 354494557; 72378026; 118355287; 967021693; 487574027; 899675031; 892131423; 847654904; 235797667; 722197906; 386848777; 585543033; 845127096; 462097809; 639581639; 107662184; 307089773; 234482314; 9329745; 91377726; 702007484; 207941280; 193570873; 73339391; 701444318; 350548637; 140285825; 656777964; 14643464; 89317093; 711444855; 60716584; 617880520; 667794581; 13363364; 924657032; 793248652; 432737219; 733798703; 484737389; 99467329; 957036639; 618554275; 395893039; 940858273; 857365386; 145910780; 543474084; 182850117; 206196212; 591106097; 174377014; 196747671; 127542930; 461202959; 619103469; 905604838; 234958075; 314864374; 284302144; 517694999; 561544048; 531156533; 722250229; 16120011; 79197785; 210579133; 369644761; 976034523; 780616536; 781062277; 444558122; 94057753; 123691578; 749385244; 243981627; 705161881; 555836889; 786976080; 860892797; 725147663; 691348887; 655986735; 645887587; 204974993; 719407719; 807595868; 401965981; 59649690; 857089481; 58494494; 592052291; 490115144; 928788912; 135871630; 535912562; 981314265; 657191819; 99858241; 673439947; 174013975; 774807148; 180679407; 644528453; 645796491; 648409826; 378277379; 756190956; 134530974; 319349562; 797378367; 960005709; 807902563; 885626960; 653487719; 366382163; 972697623; 102116335; 365594961; 621723183; 794044455; 820227375; 871577362; 3559901; 333557218; 528902406; 499692321; 807271995; 832392046; 756382701; 454012926; 420467896; 191676943; 149151515; 249139104; 606769484; 837856977; 571285073; 960861027; 142271750; 122913827; 652881911; 661163673; 352207153; 713256838; 975593439; 827635059; 977536924; 652281416; 634987015; 417008757; 588178719; 761218098; 350051161; 975760630; 221700062; 126945178; 445313770; 447461115; 398116718; 806264798; 230043349; 504725817; 15211187; 272886334; 468101167; 978643869; 172927015; 565140902; 313149986; 203449927; 159079521; 186390886; 504518823; 672120318; 259525396; 524223072; 473286234; 609662997; 833403390; 21612987; 760785591; 619830605; 142117573; 659285704; 292258276; 784837229; 166313325; 476089772; 963854405; 639074050; 179644850; 159333373; 119315931; 780165353; 809213579; 630135703; 565164120; 59477542; 575070981; 657950090; 552556012; 140615702; 427131123; 112045950; 579247773; 926332532; 244755224; 172368135; 315379620; 623470225; 578946247; 52285027; 310700394; 98966614; 636306390; 816721440; 755748482; 777048565; 291294415; 597128729; 930182300; 42243943; 610956997; 721938279; 896904420; 520702471; 483534409; 978139698; 802548202; 178691995; 936246653; 298968760; 920764134; 728659339; 733683551; 253243462; 407350299; 546345010; 466616236; 461460709; 391247425; 578847145; 183322456; 857097560; 16790494; 74424992; 245271437; 17228398; 238244540; 129328559; 294192722; 828254175; 790441160; 818338566; 84377515; 778481652; 448400817; 297499064; 646772071; 361533333; 250293295; 691791103; 768470752; 493330653; 303107211; 255989004; 272404891; 95622575; 49656525; 830696774; 879724362; 185607104; 391485723; 782379069; 699845145; 510340619; 871341779; 829014568; 806963775; 161928601; 816654738; 991746858; 781439835; 320345211; 823196713; 991854773; 154883436; 772875805; 718058988; 163074870; 939449467; 466933612; 767266719; 243438984; 584698453; 716592639; 487445640; 482144492; 413704731; 188616791; 716783556; 597372903; 86988156; 994506966; 632716727; 446408764; 356004926; 793239253; 341211116; 559528328; 233274545; 241271422; 709965251; 311289106; 543974177; 859986060; 529504205; 623275046; 295442717; 248695125; 458709201; 773759727; 979922086; 300408428; 666239331; 114250572; 91048221; 751835006; 346550038; 977803293; 177860187; 287052667; 110242590; 96296950; 144768456; 130248636; 772995595; 905675121; 563185628; 593257355; 97405138; 139024057; 862644281; 739425317; 979695352; 617513637; 973535948; 56704895; 386039033; 679862871; 485721730; 123488352; 200172106; 456692555; 878192907; 819914199; 96318837; 898101788; 723605645; 397810098; 812079778; 373564212; 462859085; 633323969; 724293132; 23096476; 221760597; 246350152; 352693268; 522791905; 27010914; 869790678; 635839058; 460263522; 111161151; 446182861; 211242736; 131559873; 384684918; 465218882; 965501218; 290077119; 930770630; 755631630; 802989865; 547231716; 744422618; 648647485; 752100793; 17236646; 336471118; 426091108; 783043392; 381808572; 988024813; 864582294; 720024258; 809892144; 212291155; 400138532; 496765396; 882414945; 32344693; 36282059; 21602677; 453441860; 251084989; 422550438; 771864102; 91267360; 519008492; 948577208; 179031069; 536701982; 698806432; 143774923; 172080681; 334976568; 55417855; 310499046; 367885494; 413630644; 40399684; 733185151; 535236857; 86654415; 553922197; 674798438; 74866915; 248221207; 243600898; 75485330; 99707461; 244252519; 536633278; 708784404; 600577020; 521869998; 391540738; 324282349; 389475826; 364004043; 654962871; 971182203; 894112922; 195518606; 504240016; 768623576; 574031903; 408524585; 911561827; 391633817; 979534592; 266416819; 615988989; 737075049; 390373755; 767122710; 472173302; 150800597; 269701255; 858872148; 697788463; 103968425; 168159251; 844427719; 139932703; 835736917; 187289979; 839965455; 441808158; 889508185; 254789357; 400698017; 71891421; 227749918; 600605955; 748717370; 460672147; 546085187; 532236368; 26252743; 399863286; 289732604; 833763874; 605971882; 808549224; 662321257; 184863408; 648893239; 833078660; 82975107; 35196610; 59860297; 333364288; 872303547; 329586321; 569314984; 227663505; 309303305; 957779058; 795344867; 12925900; 666144228; 922155834; 148177370; 201342735; 476288139; 7031854; 408888148; 907013036; 652498214; 602358953; 540940904; 191477172; 25280335; 668991083; 553333298; 189607418; 995032888; 378994158; 139401343; 631052634; 277823985; 625059721; 146827481; 73021186; 827391694; 872075679; 710675073; 234219925; 457763252; 732344772; 795326225; 247629600; 718086688; 899925356; 891716350; 395918676; 797810623; 852490946; 526682265; 347990402; 129869764; 657513930; 263703597; 160558122; 849834121; 919107216; 342436598; 491692640; 478832393; 386550885; 955230740; 203796205; 424871147; 620993611; 375356715; 509807272; 223555963; 765910020; 983152828; 522238657; 13089880; 923761523; 338995163; 479410912; 752252235; 2930605; 532867784; 233539401; 779392618; 614329619; 244444766; 758098805; 178142614; 748504712; 310236735; 621416437; 161196180; 295424600; 78465427; 278026061; 912628510; 503877017; 954623680; 219268711; 762092222; 851800548; 928961464; 373195061; 51800354; 754523626; 843721335; 933436205; 627751114; 794200578; 903441212; 174664328; 664682447; 289497349; 823386714; 783281589; 113057708; 864423065; 412763543; 207521098; 484938454; 86243355; 268449499; 493053270; 685227052; 352968900; 19584989; 916488253; 130925059; 676848330; 845211025; 909734937; 520997904; 56958998; 536927939; 795004033; 759868152; 188507000; 104917147; 212967737; 833416061; 880062585; 711087419; 607208890; 74940437; 251662724; 128979193; 183250502; 916383159; 673113597; 183681696; 6707130; 421365481; 515266009; 227378217; 902891850; 826572750; 797880091; 798274195; 665276706; 573291964; 285180877; 869445765; 616443699; 438962527; 491072675; 661819443; 585285094; 840706869; 166830189; 27568566; 258653724; 937228914; 796369443; 626966409; 380689209; 876145900; 774750489; 855045348; 394298561; 219231181; 740692470; 714036701; 128692742; 943136202; 521469032; 900632222; 565640828; 490702226; 916209283; 681875496; 576509402; 763051945; 541639496; 690221840; 826847045; 213033656; 433712557; 511408844; 835757091; 830862634; 616715901; 647894450; 253018460; 785009994; 138203799; 478567377; 132954800; 679479087; 812108165; 556259215; 905677377; 70514536; 520818726; 42124574; 344249017; 655227407; 426727621; 687703183; 546854242; 949248839; 76679400; 137127147; 613249789; 32090325; 842555922; 854938371; 456742974; 472711461; 910301352; 17494039; 971099607; 781903596; 939703899; 13668295; 418420814; 915111936; 890427564; 608903686; 274922917; 395916600; 266518982; 193160800; 686134516; 4934087; 873871325; 364835375; 942255870; 103810196; 127047932; 914647193; 225514996; 125409687; 961176530; 732660677; 182790892; 508305747; 891765514; 755132054; 646516886; 56852602; 476686531; 715521789; 801895200; 780995555; 8319291; 773800979; 138905745; 330878154; 529834156; 160341615; 783942148; 501180881; 530287862; 164478505; 936239943; 797284947; 425796239; 439738279; 332851498; 385554511; 791649525; 414023004; 389736969; 667034583; 735867796; 360322653; 773908129; 798960740; 101162576; 867061248; 603514447; 563399637; 861603706; 245621086; 962040668; 862464047; 782130731; 522625452; 233101608; 523437262; 762387393; 637985766; 855688620; 555105530; 206637915; 201629869; 262632872; 639142766; 789073834; 885177783; 807287729; 267682914; 475873735; 571560349; 64562066; 623932509; 725941902; 609294532; 764705297; 545819751; 600273801; 92381224; 404564477; 650729402; 825677453; 976003780; 790750673; 875489760; 275011842; 182173834; 334896168; 711715132; 616444198; 879734695; 755596474; 902362491; 815387761; 356424511; 358882207; 898891966; 856008133; 331745021; 534421919; 212325327; 99372088; 121890446; 56591192; 235744693; 472108438; 271278804; 830807230; 257864147; 520453506; 912453546; 451621316; 420320293; 471580864; 721027712; 277756895; 912424312; 807142615; 162503753; 478020543; 856694318; 657956176; 696275091; 168637067; 754363776; 734843750; 956120814; 745553865; 618305597; 199823583; 784953172; 818522829; 159609422; 625497808; 316207645; 341396133; 173898901; 940977132; 901820382; 672445379; 602260707; 758918771; 561234725; 675001158; 103465814; 661044316; 356610318; 986543195; 815247646; 899940374; 131514168; 207480561; 810495386; 137938233; 984859569; 181719562; 166594144; 999101763; 536356054; 17463023; 392454691; 445401423; 444675125; 509891020; 665655001; 628650677; 129357271; 536835537; 457209883; 35146862; 60110620; 284437669; 195305959; 648433538; 252266066; 892050875; 573916558; 330824328; 892166959; 881112458; 406796489; 945697077; 902266273; 460693762; 884045070; 662159402; 328478335; 1248177; 594477268; 847287420; 571041459; 771798770; 833063738; 419801132; 741769498; 308621134; 262451009; 308911151; 660352203; 226518788; 594914337; 528012489; 948327505; 291570076; 861258017; 882344773; 39051160; 424300126; 151193848; 860398723; 939100507; 382611029; 832840503; 137282800; 232653831; 659596285; 208741380; 575534826; 33718269; 339957113; 842994085; 830688244; 562123042; 813882837; 484217598; 996503768; 987398728; 588304860; 862471291; 997393228; 381257947; 252863559; 692447830; 736464287; 816631428; 306378266; 580754870; 176253070; 137152836; 652188809; 99617498; 491361607; 223481550; 289473908; 100347574; 424294633; 742649437; 765422456; 54167058; 323151546; 37987725; 73136697; 81217285; 855773918; 797476373; 749844484; 379866671; 926815162; 373068195; 109790807; 515141876; 277202614; 445285634; 127171204; 423087774; 822863084; 328939149; 369213663; 166530578; 286408536; 122001861; 368640710; 242962713; 895486392; 436776933; 804825566; 188042806; 96254910; 986479664; 651033524; 650207125; 376130291; 514867560; 506048454; 668762922; 557645339; 710805403; 1103699; 181449518; 301921380; 343188055; 819588591; 212902070; 314560317; 9424462; 511325265; 446086472; 276743915; 225015506; 759077320; 350889884; 649340534; 511460540; 655981613; 663609380; 237436360; 881831209; 533831109; 15135320; 773361623; 354971015; 171082187; 688159225; 288751017; 618313486; 828399581; 985325606; 968135037; 797084929; 504235677; 608971199; 487810617; 610136133; 474308744; 561043892; 973564531; 981405977; 837439081; 418032850; 433382119; 701076151; 509491667; 771028976; 881893754; 822381283; 612664698; 730879069; 647810376; 356971286; 160053814; 596320941; 915994744; 932185887; 49587493; 155598257; 588561585; 63889893; 880179721; 433838762; 118366972; 851398535; 637150246; 421024674; 589546543; 566389937; 6633140; 453472938; 539074437; 368841425; 61818664; 884788174; 908159330; 185921272; 190732469; 62636819; 971682128; 124374294; 481202196; 532447590; 617672755; 699283026; 264461370; 163161795; 536418728; 628418839; 639258714; 118480522; 92393487; 723326704; 6786929; 499814287; 471468729; 540025398; 191713673; 237745402; 7991692; 46970927; 905027296; 905371604; 148745463; 43815164; 248537076; 332647971; 951178858; 995341494; 37921885; 143108352; 829733581; 421828191; 163971748; 125282777; 347257600; 322445671; 93219878; 268928691; 137877126; 688491495; 211205015; 946306250; 485584653; 391613037; 156612330; 105795440; 646890414; 130950670; 50543037; 204771351; 423915439; 797608962; 134894474; 496343966; 852625485; 23268936; 927432177; 755482955; 324184451; 333428372; 926591810; 807662764; 887403107; 545517452; 206003931; 316697958; 187706045; 939425354; 671760577; 847383851; 59137286; 765944096; 497521245; 367516537; 182365669; 905508875; 788443869; 96755286; 91525342; 80501025; 242993415; 93908430; 739969214; 674996260; 617578067; 809821829; 650663596; 484439953; 347348739; 768638889; 762090309; 719589097; 278180042; 743462557; 141647820; 501434997; 985967491; 580765927; 981872683; 204381930; 811918865; 628051570; 42179359; 137102114; 189986771; 794204313; 700471405; 316568221; 715331730; 899045531; 88015147; 609625938; 800099667; 713220323; 683633379; 375989977; 363448300; 852819871; 42419935; 141372385; 727777359; 234542857; 186757723; 168731013; 854307705; 931509374; 379142996; 323726928; 989790132; 308290010; 849169924; 481571466; 892874614; 245273713; 318020179; 674304257; 538118293; 558466547; 480923321; 626649346; 75839825; 978205247; 534201063; 619764962; 802183118; 368001961; 359154917; 938450882; 153932572; 969140709; 445882300; 336787966; 26458254; 953062561; 774838684; 625192122; 391025461; 978246587; 110078681; 804769134; 28718756; 133113959; 367393718; 782742916; 851398438; 29073407; 849924062; 917887145; 785786360; 318559820; 506989195; 224356348; 649408952; 424972615; 525723330; 513667636; 735137676; 998083528; 659217859; 408333123; 323715719; 69180730; 705443423; 653416224; 789994820; 565674993; 821686206; 429878819; 70349811; 460469361; 553789945; 489512984; 806145540; 386250386; 169880439; 747244464; 97839102; 893579038; 786762100; 990421845; 56014953; 844874722; 493382460; 37454683; 78670257; 441608721; 783765385; 986706102; 76454055; 820905164; 995695108; 332304737; 661094984; 355826979; 807888301; 585956062; 396735721; 792927421; 510675130; 51275248; 293387043; 32674467; 568317053; 997100827; 97620321; 63233533; 315382832; 671364718; 867976285; 234380574; 196830605; 230412063; 262097759; 271702042; 953723548; 367517739; 531799284; 373113809; 27894279; 15801513; 405091962; 611678010; 165862228; 821776595; 328990122; 52660598; 775270368; 409813699; 534859533; 708706750; 934563972; 82603808; 15133790; 597778323; 861694670; 709156291; 764412958; 671352217; 801822213; 469672824; 780227467; 926492848; 96664752; 629060807; 989701283; 183103103; 921657810; 998316310; 126741504; 149175403; 556405661; 576135998; 791521836; 996962060; 278406980; 306893620; 495661410; 572350485; 978170624; 766824932; 977001120; 91145224; 637378199; 356912348; 678421392; 280730531; 518573469; 812006476; 746786660; 223077681; 226039457; 449954960; 860876488; 857523748; 211948271; 638281598; 996774605; 768016347; 364888746; 89778755; 93459379; 147803200; 59498766; 90103100; 895785640; 835546595; 596507885; 469789432; 436333088; 13515465; 23149870; 257849151; 334159039; 162801240; 293369863; 579020470; 562488036; 932348118; 247750629; 89321391; 602347555; 512407001; 547459831; 117020079; 508355445; 777911474; 117837629; 244528978; 324682794; 373268979; 49854769; 489530303; 914723331; 953494865; 458840495; 300861627; 829288652; 695132910; 649633463; 111575188; 263752670; 315166736; 209458725; 278684041; 601706487; 956025358; 10727204; 467097086; 644017055; 763488785; 515266080; 246025191; 899091594; 3738487; 974739917; 118347406; 5800269; 386137711; 637717304; 908236878; 976446296; 971077351; 801337355; 753414777; 434108784; 59720306; 919054084; 582472901; 261255031; 55931310; 156987335; 745308173; 118444641; 789235761; 135061872; 581599069; 887289800; 128752306; 220194953; 759227246; 180345504; 208415813; 894274447; 294791668; 188802528; 216173502; 459494631; 54830372; 777524638; 902372978; 522621561; 249563693; 263596190; 292143581; 759920934; 860708814; 918074885; 735196943; 357682324; 301449004; 631801535; 161529368; 947829401; 500885443; 34482715; 591961159; 424459373; 607519439; 551221579; 636635697; 564963295; 345817413; 184999660; 361207779; 628336713; 879600209; 526763986; 621373276; 783516735; 951075997; 599654573; 227254972; 736746047; 44147050; 494064713; 262711274; 145013306; 577811410; 557802000; 183112717; 257719732; 892764035; 945179367; 370248083; 792824279; 47346647; 40280827; 90904695; 849453399; 771790415; 792332684; 491510568; 195136096; 943776074; 308127539; 472497984; 859630624; 737281499; 629433717; 881378836; 368874568; 903179528; 299943158; 332132978; 174373201; 520871122; 742803018; 842334851; 115737855; 617494609; 96374133; 285855153; 147402444; 822940626; 565408179; 437190215; 714670396; 196099160; 643731571; 786330918; 540788410; 530690290; 609393236; 401895709; 218575767; 555734150; 725986740; 817723691; 395012371; 761638521; 340997989; 958744273; 257870508; 993334909; 93723055; 270867521; 714445982; 270053618; 970320863; 195625385; 8762629; 724423602; 581137281; 353744754; 609347862; 192314514; 911345588; 761318548; 944955624; 483009507; 702505002; 590910864; 85491915; 184169878; 425952042; 605348992; 913175082; 12952999; 643536107; 131438677; 284040713; 953505566; 364522135; 842705601; 780121833; 756930541; 86801448; 633514902; 520770822; 465707657; 726974508; 122745830; 246267790; 910311665; 222589619; 207792722; 382383720; 761203130; 824610515; 714059231; 182877716; 899090314; 140222348; 414710949; 906099114; 532952399; 704381893; 950060422; 932170433; 437843112; 286819311; 233681117; 104144656; 240475947; 480419368; 954422521; 926642689; 912221275; 580593354; 331814545; 766617163; 993769254; 865502380; 180604774; 489933539; 424783024; 318073629; 815704791; 166909235; 190115599; 719148202; 692511164; 91922100; 248376364; 314472117; 558044155; 327072850; 201419685; 721496173; 740620316; 492247143; 408886561; 620725595; 985727458; 26311209; 757817502; 825601017; 111461838; 374533912; 992348710; 363077426; 945249365; 32836275; 566419117; 460803059; 735600974; 90478259; 560790458; 191882737; 350407949; 11804719; 135619204; 942757582; 815892470; 4537934; 66725409; 974873117; 710156323; 30015365; 542824226; 905911808; 317123249; 482563414; 60350217; 94672854; 728945030; 15412376; 373037033; 557502714; 831607417; 600707723; 874460316; 195929260; 294435024; 385980942; 900229392; 971112358; 937159887; 536216921; 757082019; 430723652; 969312622; 143423698; 6081719; 275341105; 92120724; 96795000; 935427257; 674972764; 798065588; 510562755; 83319993; 432388979; 53424438; 810311927; 675079661; 370580978; 365243105; 87732583; 2882255; 17771025; 742973988; 336610435; 127748894; 744594067; 140101965; 717267447; 414710433; 656219456; 201041005; 366131947; 824828229; 395382018; 573557049; 512768501; 945970728; 183879823; 527766009; 524070383; 467319246; 979173261; 23885322; 525320798; 395508976; 729034913; 533754066; 527912820; 374303513; 870552722; 408544893; 150994149; 348130103; 825040851; 687586118; 174072632; 313990236; 195506512; 818399079; 589998819; 836793423; 748759435; 384107578; 41136448; 346176412; 337396409; 276159194; 389110244; 584728006; 805391126; 170446223; 34294827; 369682096; 729509318; 592566414; 208080800; 361228440; 815015717; 47873658; 715633554; 529311783; 864597513; 87860861; 903871407; 312167924; 591519727; 235043341; 302380072; 391789708; 168494676; 1125174; 815827735; 650137046; 204107518; 551473510; 632027968; 353466026; 868788858; 713144948; 67511840; 823725057; 168146451; 77268905; 867156366; 415530936; 939534991; 936154520; 948180741; 88895648; 177809060; 491928369; 396964091; 546372196; 24582472; 561250221; 694596976; 447580062; 789100619; 707258400; 929826276; 606470092; 608215378; 6308158; 68569088; 888053888; 156055316; 888733310; 475399663; 171045534; 300667620; 994529895; 138018895; 890463666; 773386457; 816633221; 696370375; 143285925; 157021355; 930704158; 619143769; 436889949; 722619719; 356928571; 877005245; 431523799; 324621358; 778427551; 835352926; 449918360; 243657341; 342203357; 492959422; 927252971; 381402047; 639839692; 626847995; 284409679; 440971926; 351819459; 111091505; 778249399; 416933197; 732480196; 400298058; 649842485; 257485809; 544242353; 190674034; 397225084; 897776740; 531640999; 552442542; 481982051; 488199327; 723564743; 903706625; 554514669; 440746721; 840770824; 579550990; 372251541; 546363460; 182759234; 292920219; 168658082; 11635852; 677847836; 875591147; 946046711; 757928682; 262633201; 723803348; 957109494; 601843109; 446028009; 689313484; 53065876; 474245439; 742292792; 501705683; 640672328; 961960200; 776363489; 25868408; 247369817; 438106492; 148110044; 25406683; 434421740; 474567156; 517417407; 227836; 216571535; 696060875; 819932690; 438409551; 746612633; 714960360; 258043373; 919725359; 244736164; 144004721; 633854018; 699910831; 119285341; 180305344; 182637091; 537144892; 732604112; 824261122; 136882175; 53047690; 626957740; 512340722; 669531673; 98616653; 210022699; 211040046; 407852366; 724787426; 581357436; 279503755; 7213190; 819991786; 95057338; 771874576; 917473337; 379639651; 431340517; 306459586; 215332780; 631614278; 139797082; 960076907; 754370246; 939794091; 702083533; 404923056; 240200652; 923833375; 592841415; 819948805; 769888636; 378152077; 185106724; 989314092; 625828513; 675863223; 823031507; 268353287; 73884878; 953170080; 105633529; 741159998; 557591044; 23929579; 710033153; 613426099; 191282792; 533152297; 772016202; 625634691; 352459930; 900988511; 844431327; 575958148; 289419900; 125159341; 585345210; 781212033; 283721180; 709662586; 592516046; 259839910; 978333831; 121022906; 286340168; 550891493; 591590552; 101237116; 24268324; 10045797; 144525647; 658333731; 437278351; 27314616; 802462076; 136969380; 45885227; 862572373; 230832822; 960812929; 639468122; 903590456; 570465451; 683686441; 839882516; 595832832; 710235814; 384168315; 956496436; 141133164; 783082777; 35211483; 200633374; 366713864; 215441694; 48580313; 403181808; 386598503; 42310998; 56810066; 227683136; 234402523; 179292812; 479170291; 736932756; 110998376; 330726133; 906871892; 397970878; 204322857; 305970720; 41379210; 294628506; 565289032; 858840491; 668993350; 104598740; 794296366; 700715468; 39854651; 169178891; 503368036; 253508405; 723804855; 53877247; 618359392; 679618434; 959000129; 796676250; 616441601; 380456098; 82737501; 800931696; 774965111; 848386829; 49951585; 356232259; 636739347; 164318676; 843507507; 355422071; 840127160; 737760200; 984928607; 147000171; 383722448; 416221705; 93833318; 655644823; 728355826; 214411038; 123529275; 846141340; 522229601; 393672550; 228622325; 731490197; 320845602; 704405900; 310560228; 998252763; 407741942; 65234895; 543383712; 514928762; 330954029; 90681486; 812138819; 327564962; 517940684; 606094386; 937740654; 455703340; 117706005; 151586059; 432987679; 420695420; 457633301; 711436949; 170142163; 989614554; 206091841; 127358526; 494671184; 709167715; 518821783; 713895580; 517932413; 751629723; 14926485; 869126154; 451883048; 100194099; 595693740; 871918228; 515739778; 731979985; 659152008; 525733438; 449980730; 50814764; 298216209; 226245251; 855290571; 674061694; 552292212; 82903996; 912274521; 811961074; 385351695; 753196216; 352466203; 901336790; 432012590; 221556139; 921033563; 755684400; 970328114; 519947152; 594898594; 784739163; 916113861; 196890368; 874585276; 617083802; 136557470; 649643861; 506964787; 46494554; 584934542; 77488200; 691453480; 239519828; 567097581; 808809062; 143195141; 832596247; 158253340; 996669953; 690183733; 164033892; 865042060; 173848081; 798445170; 832175568; 575126593; 371187161; 363348582; 972273077; 720235957; 392749507; 844564348; 769089509; 54158992; 138218950; 165070803; 693164461; 669468457; 616041694; 365307097; 452360166; 638255383; 435915982; 328306648; 618910800; 438320222; 566293061; 754991206; 199151950; 797707559; 356180326; 673687925; 834897342; 582677295; 532159549; 119448085; 68534757; 29114738; 528989674; 154092751; 981364903; 692892188; 557927055; 448564024; 784320594; 325572738; 530733979; 893751785; 786660502; 887240991; 844465255; 830618084; 4133678; 336514461; 628770578; 121278207; 566279062; 707093197; 256544382; 765169177; 871635194; 134013847; 898968454; 720336127; 503288047; 649328999; 275274301; 2777535; 433077531; 683015843; 659795675; 365215316; 96818206; 563947964; 414776342; 950440447; 406354468; 43603539; 910312622; 956299967; 934984104; 14717383; 746109779; 871782930; 525852313; 7229394; 541006536; 51853530; 113144863; 568738518; 690780040; 540953882; 244161804; 855634032; 486703147; 51814560; 82044715; 207986727; 124733813; 742357651; 959696328; 370914044; 406776525; 717694801; 450656530; 888410334; 805122350; 697014077; 329782798; 684066919; 744218380; 814546367; 326148986; 195420251; 268634400; 364312180; 418921466; 684810830; 882274919; 781018305; 628920467; 505292968; 54629407; 876854453; 675111157; 469693007; 940610723; 739938313; 285394510; 242535789; 689780335; 264834821; 59743076; 212892685; 494928477; 865121847; 114047745; 254717231; 736146020; 661752033; 538350061; 372502980; 28632108; 966959836; 469731158; 433485816; 676208333; 975349879; 853529361; 316746099; 917989091; 307934617; 913047788; 362531365; 9828214; 290132343; 28582016; 224186148; 692153206; 306229690; 886303777; 955012482; 768677985; 895677810; 524921679; 380192594; 787723361; 298067355; 679081312; 469110918; 754854639; 81924332; 718435084; 767078915; 896919813; 450236868; 921995588; 390246105; 107594349; 840250913; 430040452; 245551671; 790237672; 972188732; 905410192; 283588289; 76319427; 1953829; 984690188; 819048049; 234285583; 898805323; 166827536; 332757137; 372170547; 600196656; 884261314; 757000396; 816198634; 643293044; 368797728; 633368306; 676992131; 725442443; 278664049; 307451753; 60450184; 973273397; 586303062; 530243954; 826090480; 164023723; 292089605; 313173090; 759788145; 366966130; 351128173; 993446006; 867727350; 310504024; 821484748; 958661318; 982167731; 174182212; 895826212; 367206230; 51714324; 172497868; 88526265; 107560657; 499971790; 835569259; 75379328; 680953683; 248855453; 663252792; 334756094; 471370845; 919919507; 203137975; 837591398; 605821711; 295761375; 870390476; 454047899; 86875071; 501959246; 595614486; 871257144; 805244777; 686602375; 97402119; 213617708; 17962089; 397271141; 801498154; 10088796; 864452088; 941186551; 220987649; 751093228; 180103596; 15259901; 394860076; 492181443; 779818980; 551816743; 792097912; 371675781; 118800304; 971046353; 578787355; 745283687; 898838230; 929609563; 628563182; 244525589; 612009433; 531126330; 735432436; 634427210; 30904382; 47012917; 415143815; 892900063; 727841477; 97507326; 603893349; 344392185; 765021468; 325826386; 755141794; 775295804; 524954649; 814806360; 54875433; 413900528; 242145815; 588076475; 949067839; 165105209; 382965679; 614790819; 167258856; 509033375; 144033288; 257385547; 907383813; 202420016; 828423000; 823520598; 876569297; 605380333; 79087835; 357294120; 334628033; 807523102; 565769518; 671090412; 71000886; 772062012; 535036235; 26492858; 694418796; 847204233; 761383800; 658251286; 884397048; 570100108; 752880756; 51160484; 127662325; 649289147; 191834925; 135718296; 474759814; 875561012; 138729188; 484268089; 766030120; 839443707; 589601561; 923864260; 657757261; 736170722; 23929549; 104837711; 736243232; 599807247; 279468157; 51308054; 923129622; 958712770; 504817706; 119846292; 89664579; 277358290; 362354448; 121931789; 443824432; 917282732; 744924466; 643658702; 814190511; 328840532; 666485050; 264996913; 176466371; 559255632; 233449185; 26643086; 701586001; 422484058; 949446166; 205146853; 344927748; 856310311; 741603644; 63541304; 285784266; 185708516; 151763083; 533092041; 960411189; 164387900; 142035599; 370939951; 736225597; 313181333; 18441862; 11638378; 892655906; 930712841; 836360315; 980769074; 64374548; 731066359; 31228323; 559893625; 230809421; 308917897; 604645639; 124448451; 949392808; 141783310; 351591175; 733660387; 980693741; 256134743; 918910640; 585764265; 477282286; 834303212; 632914647; 561443753; 629849802; 70104236; 635707874; 328049098; 437909819; 471459916; 761010643; 494592543; 388747507; 138615446; 558960602; 198100558; 886585961; 706134888; 200849171; 607349207; 719832002; 331626448; 829291681; 781569256; 953458818; 491000641; 842469982; 518990874; 162684443; 257859904; 623916918; 324098278; 536872015; 84024176; 720646416; 279532184; 420780377; 566142365; 515336408; 248690810; 843833991; 730656414; 61347566; 736819667; 743262351; 706607147; 645240870; 293782234; 713981832; 350674321; 43867152; 91788976; 60521529; 978587899; 408565530; 409814186; 958029339; 703428576; 501501339; 983605731; 849950009; 135022010; 742191812; 161869299; 574559176; 539217270; 916707070; 614912838; 966594606; 532483655; 990205272; 92525681; 451063482; 851857001; 89026378; 256829322; 152545709; 355442299; 423122508; 155275014; 7791950; 809646393; 601402222; 399442556; 443912113; 360839500; 425879213; 334758001; 778866261; 493430435; 557843589; 217592053; 112139442; 993512353; 560733302; 467387059; 400760436; 810582945; 637234760; 793921464; 957269548; 43643240; 370281577; 116203127; 636985677; 123688593; 946653773; 118631620; 911671814; 822988245; 160779321; 206506209; 933787411; 987354859; 441180683; 197235128; 630115926; 954937313; 142541167; 74316008; 645592813; 613118778; 80097437; 489049881; 526865403; 178436918; 279998435; 193369089; 43713251; 130108845; 573699291; 660881097; 903952780; 386140115; 943780511; 832435772; 736077324; 589294049; 348866736; 229378043; 662842259; 208250449; 249592652; 524166960; 517935951; 181437462; 266321615; 647114967; 145665211; 700199349; 128102439; 272020345; 188660775; 578868813; 475635983; 415227190; 433636699; 446890070; 822714733; 360183442; 993794886; 286369680; 757584438; 337765081; 587652394; 793501906; 799225912; 646786255; 803090175; 969713399; 390345449; 482133; 238008343; 444033664; 818287798; 188978431; 745776578; 553807645; 258760999; 118370225; 454886459; 998702080; 826135020; 634591522; 776445064; 898460379; 550066816; 716682940; 58562328; 536554566; 973304634; 744914493; 527091284; 893806021; 176029763; 244340391; 931318909; 318996332; 438145314; 890309255; 781108666; 135078703; 830021614; 593111200; 119230352; 994499987; 988228680; 430298614; 30775265; 653131574; 902368065; 202051908; 951682357; 666790868; 414004266; 820575465; 387630233; 733445403; 941329274; 990255179; 930129593; 902782929; 888496984; 732366859; 334497578; 280315454; 224705134; 518870039; 462684997; 701195466; 431276433; 354954237; 332528989; 526701758; 222039935; 212732021; 541677431; 893390045; 953929262; 924633831; 752552177; 619748582; 523090904; 592575439; 306502796; 56021950; 433915458; 660976403; 867521482; 694443500; 604988036; 81875217; 321296141; 275087944; 854011115; 700168114; 984834563; 356409692; 362492789; 634664659; 521115103; 942600023; 584087876; 834181628; 430578483; 575738974; 637671077; 469827815; 689813572; 90265612; 481492625; 85732439; 65939351; 311646556; 106689191; 827244654; 682942666; 234034547; 496114354; 315421004; 537725124; 81658901; 361132316; 73259857; 34373783; 36962648; 18311780; 48928871; 99460691; 243332212; 433216654; 635715607; 338782311; 148090685; 829871319; 616434423; 691615996; 728415765; 164752684; 109533794; 54034445; 878822487; 281563669; 102322265; 173504882; 805957446; 253081691; 154028298; 908251098; 151048198; 770558055; 394323931; 711870788; 400767929; 273529888; 364710894; 186720063; 203903383; 764083177; 951489458; 830766614; 481194371; 14621108; 526954309; 774921399; 72318616; 413726201; 842830643; 375469294; 13298591; 454712912; 764834303; 788508992; 252635712; 40810356; 602998310; 212062367; 719478248; 202406736; 84058777; 419072272; 919686461; 719472718; 942226558; 848998623; 471110957; 726226044; 585560562; 248926452; 287946280; 781111867; 439378031; 435327629; 458393081; 345388581; 764055753; 635346153; 995493057; 999318935; 166202898; 146460462; 547866916; 314008766; 575125012; 526199502; 100729003; 802542174; 227292368; 163373902; 789181259; 784936329; 582074407; 916913627; 388305321; 964550089; 879746359; 296360677; 48880930; 475063773; 806723686; 367761152; 734352311; 547827477; 93985803; 407018146; 350793919; 800042370; 875703632; 439618456; 906493131; 865901709; 181822384; 658364560; 572982154; 113833042; 917276090; 11693876; 214673957; 311293959; 619493371; 743840433; 178396345; 892215163; 65350740; 198446589; 839043754; 947404763; 705184818; 322265786; 611095208; 678771279; 762685184; 290268075; 858188852; 417274545; 666896508; 651035059; 431098723; 267975097; 700798166; 125297468; 679727043; 697366672; 671617066; 457340217; 801557146; 422118165; 586395874; 446228698; 806908570; 750017207; 693706900; 361580499; 485516320; 44724990; 533049460; 805446622; 16109379; 294797176; 450488698; 258496215; 742998251; 357327876; 488470035; 53932170; 733579744; 375616907; 494933166; 253705259; 316142911; 816123300; 863435092; 946349868; 207739213; 235122677; 345149888; 446498795; 64894442; 406750353; 204166487; 121632622; 610367127; 468610515; 938747853; 624565440; 737699201; 39908753; 342937293; 388778217; 891700802; 912726805; 338990470; 300781589; 535591469; 60283705; 400840888; 40615297; 676360606; 110419657; 283476080; 470854247; 930549360; 545573195; 676024003; 834939919; 496803786; 744460140; 334970456; 725902053; 205588448; 692409843; 715708029; 145765591; 640164725; 209049938; 892547168; 372374694; 782087313; 459908562; 927800101; 519926632; 449367535; 475777040; 814154568; 159565715; 93717517; 398196853; 648027168; 230889678; 555019749; 614878567; 24179258; 530307841; 401940222; 40096179; 58544007; 175241394; 508696777; 733975223; 739506865; 63101122; 660868076; 815425855; 553439443; 741662991; 49367310; 973353871; 736294270; 573625999; 143745089; 167239276; 299383102; 691299085; 308585450; 113098141; 342485849; 610543863; 386861278; 768309757; 367149525; 431876488; 155199268; 453006603; 839647272; 637890308; 916920232; 524915412; 893376600; 625749130; 987669124; 877942382; 708176307; 163331506; 844411659; 636495281; 381084681; 836225143; 729974134; 268402178; 622649171; 395847654; 801204711; 613592121; 38963756; 711407077; 635772023; 112423862; 608481177; 227299789; 264324762; 499526228; 593920388; 552608969; 250193284; 189675826; 851581719; 305132085; 364595305; 385995094; 541906033; 720286621; 846265824; 660604601; 563943647; 142319697; 489304840; 336206377; 875571355; 166225042; 863450759; 321918575; 739441737; 385359384; 438148633; 540649135; 949890102; 505526412; 220230922; 563877759; 592002549; 806625451; 181168378; 459373761; 217738991; 65103285; 934432451; 657638050; 438468108; 582302514; 567301915; 234851119; 377904102; 303827571; 4439966; 665885741; 393264566; 760126680; 993792681; 202067685; 220013635; 260253126; 17126522; 599289121; 286522304; 459392316; 392303278; 466967180; 168397669; 861944715; 586002736; 963080404; 165018139; 77427952; 399668067; 51565447; 831601194; 19374143; 221980898; 365447168; 953070310; 943440277; 39255069; 700518809; 565266721; 588521731; 392928183; 545733900; 37067529; 278300397; 365947218; 6414400; 17322264; 710992824; 938712028; 672659040; 390046505; 630681429; 855799997; 492270589; 710250378; 358252438; 902747750; 963508836; 184212592; 208187661; 622493648; 876961865; 190279506; 444931092; 3569175; 426657486; 521857654; 553241548; 912453445; 986283270; 411663500; 308519804; 714484290; 291860157; 902550831; 180218607; 936211190; 172163521; 125194202; 691828937; 825638546; 187602245; 885840895; 683826283; 928031406; 409512059; 779798711; 887948398; 317401364; 900813319; 100453837; 692534248; 220363263; 503959144; 650049882; 467929218; 17090900; 687598231; 282930285; 327684814; 718787869; 283522129; 508547076; 666664349; 483427660; 675148315; 559771911; 950674160; 305304092; 248285395; 20846614; 277863253; 80540330; 113553152; 479105288; 164243247; 711528688; 149515993; 61327079; 851292848; 613958905; 11822622; 279781806; 4678630; 542162722; 203409494; 439859533; 152669029; 536542770; 497359022; 340902631; 933938399; 931731480; 484999951; 177895770; 358157400; 952745828; 503469208; 299227383; 641598932; 698755356; 312496985; 926820703; 24415843; 522048737; 185409199; 754573385; 801093688; 311039048; 275638742; 734159497; 447299729; 467890320; 924539263; 585246723; 364037368; 587482678; 145386396; 578291396; 647802789; 718212635; 491798369; 699884659; 223265082; 114290775; 808657812; 914366379; 285083303; 633830080; 391323301; 317844762; 137910128; 7429141; 157169514; 553396773; 926951609; 407660907; 229914916; 424037404; 474239163; 135894910; 378560755; 431621856; 244496301; 408886082; 945790534; 143994822; 773243772; 784665997; 362944750; 98682425; 478578304; 136772375; 505509732; 361937893; 427394957; 563260755; 785897782; 394268122; 978402286; 872602058; 418918655; 620525200; 521745199; 273641193; 458654650; 153242581; 175385535; 737491509; 962774637; 64578567; 21809593; 280397988; 413964542; 251878004; 615720468; 358993063; 284589062; 270427074; 834280022; 1667835; 188729218; 606363219; 939840313; 151686391; 581105088; 807374800; 697366784; 834634790; 359724875; 20786639; 678237904; 650350580; 573539131; 757913914; 365119059; 165928424; 874006212; 798655700; 541045081; 337959908; 488762174; 591086912; 617240359; 899783908; 491605222; 772119427; 359591326; 350002738; 257632258; 966417521; 206887571; 696443034; 111278204; 166917297; 73854553; 172680019; 665494600; 632976158; 522167320; 793650033; 742275607; 870886325; 397284944; 723803107; 469315497; 872750341; 582366362; 241910306; 353221975; 463260500; 881109507; 12700500; 913640; 628635474; 305054978; 934325647; 562135430; 650292256; 682118248; 252113498; 929083330; 426136197; 729623682; 459776616; 642927591; 551617976; 213600611; 458374999; 366640695; 320649836; 836431204; 356274160; 439016711; 271513484; 57669468; 761676005; 46953832; 264371353; 517646572; 831585319; 282734509; 345134425; 847115765; 429363979; 927528575; 441424050; 162982009; 582053405; 337212788; 705211157; 603568638; 97459067; 953378280; 25312497; 734596284; 688505591; 851324149; 476896744; 990513270; 914231009; 356709206; 9278054; 408302009; 116508763; 371947152; 327254934; 82241609; 815473704; 143596533; 902266859; 839183299; 686883965; 977878133; 63228038; 95837940; 542544385; 202025370; 854343637; 825793945; 937278935; 208290561; 26974805; 677822455; 463277909; 116781879; 989468501; 632889397; 739206824; 664915879; 149955813; 164494161; 747275848; 936841443; 603515041; 536066120; 10421781; 167083599; 35412506; 33242408; 929066787; 35660746; 825964745; 607902800; 395003602; 8139386; 935735775; 28152108; 202403018; 769008167; 341234395; 577562075; 431018016; 99671317; 595015312; 251888544; 582933340; 79424393; 8788042; 745787096; 280692533; 473429334; 175912819; 513350572; 137878443; 798448076; 594792063; 846429834; 697773027; 818778652; 239656537; 795844325; 69307893; 212637005; 75173913; 196026865; 154086791; 426260476; 380781993; 367348334; 386244551; 979019491; 121723269; 289179090; 981481979; 838403266; 317804760; 978431305; 950888140; 997845673; 331729542; 971601254; 926816436; 782626720; 361075449; 237442275; 879591311; 13356060; 869446643; 334157967; 883555050; 851515175; 15079629; 736782271; 548480422; 249371393; 208874941; 599798492; 901145587; 52973619; 492114761; 385774916; 217316340; 696740397; 276889089; 152616198; 877758806; 549934384; 188455903; 642080798; 219991040; 715777999; 324484559; 807892431; 781860050; 272566717; 813749847; 117540227; 837760263; 646903740; 857892920; 829504824; 589670208; 368781825; 615757027; 949588867; 360461699; 72031325; 175071235; 393354655; 349895705; 267374205; 242204920; 711657173; 167596278; 534048617; 527841972; 539278104; 815988177; 881077964; 183174397; 314990768; 203521435; 75687153; 137483867; 539371622; 689403412; 341515902; 225654106; 395790815; 716285311; 388020625; 136865294; 794529970; 913532407; 432384515; 323235970; 117410198; 607063512; 111306202; 948501775; 253343278; 105270065; 329977329; 946314966; 377140068; 176906451; 454563089; 152453444; 525209700; 979993293; 697795660; 619981965; 72063258; 85691948; 267533130; 741186707; 622860633; 722619944; 293332405; 848161794; 828693988; 106851003; 915102470; 149375872; 449510186; 555687046; 906783505; 267980869; 14205151; 207369613; 225547270; 270254217; 974492995; 877655412; 523758970; 118926846; 383875423; 496333812; 902617734; 754108699; 512053625; 2035823; 358904331; 178407189; 129415016; 342355721; 738169600; 777916963; 395036161; 274616174; 839485442; 407126529; 906159071; 882883299; 828611228; 645665906; 458216734; 195112314; 175015070; 116139245; 183303699; 480343661; 804870296; 520428672; 559753721; 416246747; 359414214; 260247578; 717121252; 226905555; 980112034; 864360083; 584812408; 123589901; 893186020; 281301078; 299846521; 193467716; 33177185; 408979455; 922251965; 559373432; 113287777; 80633071; 504990024; 847140235; 607989342; 181157719; 26048543; 164041767; 380902168; 138201298; 557549945; 223731087; 269258919; 816638917; 885401511; 754565368; 436659607; 291066919; 145741757; 961277049; 380354473; 308183656; 342541957; 910061103; 418486209; 980576415; 35525516; 800014245; 161965776; 86078841; 893298894; 994979910; 157609178; 151394215; 548461989; 978690411; 38012077; 238930263; 511194983; 197747026; 232042700; 178802259; 916058108; 41556938; 721360653; 839961508; 252084545; 760390706; 758003621; 886766524; 828985735; 830062769; 656040165; 868860344; 51010246; 437516428; 517487845; 388208155; 595427375; 867967596; 204162909; 102896991; 525765314; 50219312; 420449105; 693356091; 473523505; 601239628; 353170848; 388864723; 999649892; 768389739; 533299773; 917155856; 174288340; 584527240; 747917015; 73150528; 627543555; 203775628; 209746035; 244612781; 876234706; 601531873; 999348736; 904760577; 895774028; 93357328; 609600389; 624753981; 478492283; 898338575; 114527986; 358948905; 893734356; 332479109; 461385452; 716952785; 395179355; 496664423; 794767583; 237628512; 640585324; 563471572; 437190996; 405506052; 895330092; 356389936; 583977718; 810304098; 746667083; 122459232; 243236230; 553774828; 959601913; 388345857; 929498248; 500463763; 378487467; 793079972; 942187788; 62933738; 958026540; 887678434; 636779266; 260494035; 804844177; 423036465; 662784359; 730793990; 38091930; 10535793; 615670302; 705970924; 783756237; 162614373; 94517383; 96023814; 214187766; 558384162; 733949455; 650184246; 459975260; 590075774; 884394385; 445727756; 148469720; 858559774; 98360516; 215252418; 573310952; 117066296; 969111462; 689609529; 161852448; 684784608; 906920449; 833658598; 536096596; 522244270; 459035476; 321299872; 205064247; 574647572; 119849120; 855899529; 669794822; 500864876; 612614967; 564615427; 619029242; 537581145; 450183856; 576549130; 952084169; 761362544; 174971814; 653749380; 355312683; 629732380; 118581486; 934854342; 669451054; 636154079; 946354387; 677968894; 577377799; 977654735; 926139226; 458957062; 462480882; 508306527; 301656194; 938212680; 596922786; 319475923; 168680404; 116673983; 833563711; 91963659; 432878428; 55308345; 729964953; 2605984; 36813072; 184224502; 368815443; 953443104; 146224318; 633089317; 929984544; 435541419; 191571073; 965089204; 964785890; 786750942; 788423018; 812012263; 446900207; 257591240; 147318376; 331457961; 129142666; 86903879; 542965331; 809006415; 750561917; 937919122; 700857591; 112244447; 140620668; 965212633; 66525560; 93023960; 538819316; 759995479; 143789329; 619055855; 809659547; 780591279; 440557650; 392792125; 936962496; 251662839; 765371250; 106631101; 733159304; 577683461; 814150046; 803319139; 223616288; 722765945; 986910645; 578947037; 567622869; 573934147; 298987415; 101799664; 202990837; 917549458; 254108356; 531312368; 824046762; 63994605; 222811644; 224641046; 653302890; 406824973; 445409041; 44036677; 798184805; 933786077; 669345801; 64449623; 93090855; 374164052; 986058386; 801223459; 895945248; 557702942; 918899187; 716273874; 503933920; 423160618; 464210086; 626190792; 538518171; 372870728; 146287741; 559899866; 251265478; 501736103; 428683569; 595248634; 531511572; 256041942; 750833885; 630519969; 475362729; 436898595; 796196298; 310802643; 703742491; 409926550; 2939558; 739065256; 277898786; 995480221; 655240668; 239856798; 659132153; 921705584; 463024316; 666058234; 462608969; 154775044; 785339768; 397038090; 22370043; 754575246; 933322081; 844110615; 913225990; 641707583; 34172023; 641666441; 41836341; 203552616; 277678799; 340912851; 279448145; 120808465; 919367532; 421807628; 459859159; 625083149; 359155808; 611385575; 458460908; 290078479; 527629716; 453086809; 915763266; 182926633; 289844778; 947386328; 807841971; 420093857; 646641937; 574831540; 570964383; 726152207; 690277460; 933465661; 626541763; 163765759; 438001581; 776569882; 909213947; 366143732; 669010183; 482753996; 879426765; 833536115; 890731412; 554900746; 204194929; 576795434; 440185543; 35744270; 760436040; 61562440; 547865427; 856423185; 215871414; 143543295; 631406986; 971194924; 687732015; 311390818; 947322125; 302837983; 364371797; 142280683; 650806693; 908934057; 121100915; 459352816; 382665644; 345388990; 786277373; 79776065; 217745070; 679864474; 473833777; 280683396; 426421582; 875587930; 952668025; 403809387; 188666232; 741381130; 585908261; 784460117; 150658051; 67525293; 797558573; 713845071; 5783057; 582058160; 281381108; 375770262; 381605541; 718805733; 959058704; 529710781; 758556495; 623147910; 265466475; 457372028; 815087375; 873375635; 389490230; 784527077; 351132088; 208493765; 603226446; 994485567; 187715850; 909635247; 481381078; 957321954; 651767830; 857500599; 191566654; 698065404; 83996915; 507463213; 386863835; 530807300; 428361531; 45557014; 851959510; 53911109; 947791015; 694574986; 589439344; 614333407; 496288070; 175482342; 523348990; 415301653; 266407009; 933363089; 579759363; 918364522; 557410228; 78567411; 38538050; 154327643; 469533142; 753589414; 777426760; 638826193; 825649620; 89907962; 728404907; 181665517; 641384427; 61170406; 755530815; 879667761; 441834414; 387070740; 443710331; 274651599; 628218557; 240929846; 195153231; 226397848; 326249576; 23008334; 983828753; 176143110; 682200570; 322975464; 563615797; 413647125; 347199757; 90527143; 609160732; 30202076; 729926884; 19018197; 443847009; 2056226; 732386855; 96255813; 465133430; 289170979; 903974771; 292253001; 192679053; 243360013; 134537096; 99766602; 807397287; 643739721; 981318126; 59186993; 693108285; 755467678; 261344437; 66051387; 20307871; 280451882; 587806027; 678313826; 821138298; 358931056; 341664076; 903050105; 369021547; 241913813; 4118166; 721260297; 91205646; 288345344; 660570684; 235891322; 543579682; 4574591; 968484657; 195947551; 429876265; 534859023; 929201296; 769585755; 294844596; 736368465; 769200996; 360024085; 932716010; 925847482; 25642136; 13680764; 65468278; 746767261; 433989579; 93961373; 252184113; 874095468; 86022185; 94250938; 929508844; 95203134; 174494517; 742674704; 884210820; 655534128; 739127169; 355958031; 765742297; 64566443; 131905826; 468070283; 297766841; 11954134; 247010347; 425273250; 595699621; 591653440; 634060401; 284193151; 192354634; 103895310; 660768230; 294360765; 217806469; 357771498; 801051808; 506714138; 319280032; 733166419; 909887961; 520667370; 766649218; 719950933; 280315603; 541141095; 579706092; 243414616; 748929330; 986590903; 409008601; 777891076; 331831488; 81154545; 707570872; 418533992; 534758843; 632807502; 306224007; 414611410; 905622216; 464951972; 186778778; 970150597; 909608250; 132105028; 907088217; 41639710; 192516857; 774051423; 747410011; 323761630; 748450652; 394721393; 760897688; 468511836; 507122275; 918754848; 703865949; 800175763; 435172395; 341290431; 101342456; 748245768; 357628033; 523720346; 987544969; 492241194; 41414152; 273741371; 483252554; 430016103; 365671135; 301722763; 559474692; 533429488; 875663781; 479611562; 450974072; 759225551; 468403998; 6521812; 372092875; 74709664; 868526845; 810076909; 121856922; 970252187; 282771224; 837836228; 439056374; 3880811; 641929188; 946505221; 507524099; 953597122; 993130855; 783045821; 761171969; 997613430; 867878176; 715554635; 573007551; 314869855; 467822883; 100323211; 775324382; 680008566; 189121313; 278776511; 853043797; 39462859; 136787748; 848028963; 306033020; 483415803; 170959775; 162738640; 956117496; 418002450; 59954806; 608633065; 347196192; 461226706; 344003735; 361189796; 876234813; 206212144; 117233385; 669359564; 372417294; 527054354; 650990463; 723960024; 116596886; 113452214; 286200780; 387886767; 59880710; 485440317; 322912340; 47325852; 247355627; 486828455; 84361535; 559240310; 967058751; 673618465; 679078576; 415418839; 966536252; 53992511; 697958506; 198880723; 899704260; 357616346; 626958112; 990420973; 876701418; 461981116; 571630774; 973765404; 299842216; 104127362; 730475716; 273642205; 817068488; 899314826; 594981751; 485684898; 417695333; 910543612; 747881162; 470167621; 392260127; 747283493; 403320921; 134481423; 969928513; 899264987; 94038928; 417442012; 408031966; 465112251; 160386835; 831376807; 293276751; 988700242; 466725027; 873489729; 579072801; 149946516; 163724037; 456322672; 329780659; 474589450; 574239082; 451558337; 439666456; 449107179; 391268438; 15378107; 59142136; 624500440; 88912597; 57590; 2340880; 830039812; 213489929; 883776600; 990317341; 657585505; 130820688; 42389883; 984618569; 739889356; 444884441; 180741677; 272794426; 870903008; 141024456; 403927404; 889440593; 657504583; 315968923; 480626847; 244230629; 723253906; 67824344; 903492054; 412952539; 976734405; 851039826; 294468295; 524175470; 874228948; 570856082; 5821163; 532220796; 334279357; 418823228; 638453078; 818115823; 843558384; 509738033; 276231089; 873240306; 476754165; 717542958; 29039022; 804651164; 189919496; 399697451; 449195615; 707243334; 297108551; 464799847; 584793814; 189382022; 282144925; 375447073; 913848802; 276292013; 365907168; 59249348; 709490243; 319464495; 568655550; 866950408; 394762430; 384605490; 440322028; 310100292; 129256031; 681280869; 374519038; 176416773; 394252460; 104418032; 183110314; 705457547; 46279071; 403432343; 945172208; 153183017; 471076577; 113468032; 998384383; 199300068; 346138841; 501744520; 579170544; 183170513; 741636466; 570974030; 646846037; 965563672; 390475218; 603332696; 959642349; 388640972; 673501404; 252424987; 774886317; 436508230; 547198581; 630663558; 539390002; 276548662; 764678873; 330297075; 810869722; 667036876; 196016345; 673604701; 289892817; 822443132; 462926107; 563690342; 924927781; 858917043; 315705387; 297277044; 140826617; 958633323; 873065496; 479163047; 309372141; 174329270; 179556506; 231837172; 818251832; 489211123; 164483826; 957362079; 209021248; 824885370; 309830268; 930574471; 774930879; 816051074; 619730884; 756895414; 429154887; 168819168; 930154263; 329288330; 451634211; 670730925; 244266726; 39960795; 93410513; 270744714; 116418141; 911836100; 318968261; 773421685; 885685703; 822754732; 942088470; 15316835; 641847187; 947355448; 583831963; 917387773; 199224403; 708010195; 269890790; 257980063; 489849725; 781834370; 959402111; 64261592; 539156716; 329591700; 765948862; 454387921; 49790256; 929793378; 821378100; 275429269; 260458794; 415215944; 518300587; 812501519; 983886064; 415519639; 618553012; 985300973; 433575857; 846449539; 504279677; 71999581; 79497984; 520384089; 810983637; 661982946; 788828540; 922632176; 955510998; 202530703; 842129136; 95439172; 553355634; 678548001; 353074885; 606288037; 154522689; 960733149; 617499942; 220251619; 978914035; 452971147; 609829831; 460420845; 440256941; 153268048; 995006238; 147067928; 296685253; 20740237; 819522869; 896118665; 499135106; 580422680; 124250240; 882392918; 819093948; 639835435; 967130626; 809686511; 278510763; 307959549; 404042970; 926480407; 115070218; 965952901; 167261692; 631299240; 316834325; 754861831; 390785645; 650450786; 817132080; 839056643; 508793754; 630449502; 648130500; 985481079; 510872585; 429283011; 559644204; 59325590; 961959683; 927882081; 167630174; 513882143; 405903801; 179986241; 67578135; 520523988; 854815020; 868238308; 273380198; 456034186; 132824281; 321421291; 926821681; 315892962; 471235178; 130910484; 512058539; 706739395; 303322589; 572964301; 346429827; 31972094; 227825472; 747130221; 944334549; 213920275; 119195210; 401493048; 976893884; 354325145; 528111544; 113457236; 344380490; 586885117; 620426662; 825752344; 621733659; 465147091; 682127714; 996073062; 992509729; 700111099; 329837670; 665409931; 261877882; 103229924; 157525505; 321142571; 1743443; 533346538; 58554077; 841224345; 942660261; 669434041; 154228126; 719920908; 117811143; 160842164; 770717782; 193741542; 298331200; 5579052; 712675451; 498066554; 238732947; 57659856; 793517913; 440983281; 576751893; 88785877; 361876236; 960919284; 990460245; 570087442; 478313038; 690935170; 257858751; 730031327; 789298602; 939264204; 491415498; 732031332; 210132738; 943206713; 815422970; 363716170; 804017683; 276182729; 351670559; 36852020; 137040869; 780781135; 66942945; 623255666; 444400708; 624336273; 645483063; 268396691; 733790611; 332296076; 698721063; 519437232; 5578138; 923786280; 988683897; 528623377; 392667737; 480580819; 561051567; 591522730; 594350572; 683609751; 858585056; 309802206; 972675842; 804401192; 912702297; 92323968; 735921798; 287314381; 413991125; 271148010; 214065982; 295801342; 907634509; 161677694; 469629957; 988573788; 251733456; 515938883; 46158897; 613013026; 19991775; 471480999; 959516357; 12111; 225772357; 851809410; 97348052; 372358337; 638481331; 574812523; 528603435; 674848173; 550366392; 549002209; 713998133; 860248604; 53068171; 367279525; 36243698; 370353233; 251879896; 313053532; 116759955; 336555716; 451806096; 92976171; 814334672; 459194315; 418480317; 2131079; 538208400; 148045934; 165419803; 478321886; 157715472; 475938005; 734396643; 383099243; 803794476; 127039413; 244968686; 287375482; 372431733; 350638209; 223404498; 454382832; 225923070; 545458048; 259007639; 581097461; 920681557; 839089373; 637715700; 56887642; 151919898; 160297258; 140717005; 624736957; 107991796; 526462803; 90298517; 503585128; 690091124; 754231770; 523231832; 206649172; 564941056; 506277661; 768850522; 185978425; 291758351; 664210693; 866287836; 577045096; 359074327; 834468489; 654184910; 254021444; 368287059; 536585521; 79392151; 560980748; 591127714; 747232714; 899506883; 295810572; 136476996; 710190841; 759314643; 506371530; 105674655; 89895451; 88596497; 605963921; 141763295; 777127387; 347771362; 604495391; 17465870; 509723834; 5693519; 478914628; 443486006; 184035843; 371645964; 938734477; 892828644; 55083847; 340526933; 260141635; 869052712; 544560343; 794270526; 505045524; 349638085; 742551321; 777940600; 309261621; 143974323; 14373902; 903453412; 277738457; 320310127; 756238714; 92238385; 239595309; 688389827; 910692012; 437548203; 91223882; 602676471; 68896122; 935451613; 605097871; 709906823; 8321578; 974107231; 23652705; 716558614; 410268443; 461311885; 562384223; 800629240; 492177551; 602798632; 187588399; 834334345; 256200822; 917948006; 992183959; 527989425; 886907299; 966342503; 294987702; 240581881; 443949525; 467191684; 608294252; 768283158; 831068397; 685613679; 933531715; 720271755; 553897054; 284835506; 785178967; 289254792; 678025564; 632334391; 611788889; 255248179; 455737774; 619829544; 920853809; 397226154; 935781592; 500897629; 499761898; 184712953; 772820539; 507777632; 272886358; 852826592; 347229688; 527092521; 537101187; 409475529; 77106305; 855371923; 803888788; 841044884; 970533417; 586044321; 60412976; 688624205; 440254046; 36432561; 212192315; 940279027; 980885613; 630545483; 243159977; 203296086; 450301836; 788716721; 202307591; 144920305; 928926012; 174437871; 843063202; 771880424; 659551233; 392639384; 446261477; 20493139; 610999415; 603521091; 957367991; 323107397; 286689544; 106277618; 900029434; 775305681; 201593255; 860773326; 987600182; 925787219; 240420351; 751609327; 184324660; 542874372; 2107969; 916967980; 997958522; 789983692; 393446902; 904608295; 213211698; 173356742; 253391332; 352280739; 426436037; 53540533; 442547789; 525703474; 756125819; 63194928; 698391269; 108559310; 435652345; 355001426; 41273816; 791101485; 838694713; 712825376; 465718444; 360808499; 397671621; 654762415; 788066955; 658928058; 346736486; 2779510; 254767325; 803382844; 831000873; 57266968; 646661502; 592554263; 990947115; 642653270; 861382669; 216559223; 171671015; 385957835; 930412047; 560391417; 615409768; 991659808; 447841529; 896091106; 935477310; 730129776; 798194374; 162804566; 143395916; 64296990; 830544464; 407197530; 231886328; 937275299; 131934288; 484787003; 140151847; 166614690; 848671508; 492655558; 789288758; 627650265; 746819352; 355256944; 930536531; 745097520; 767435875; 364373877; 492538616; 809805408; 45183561; 549169700; 269466721; 986947203; 489970123; 197356464; 499051016; 24674670; 860055084; 457118438; 170347301; 775013168; 14978819; 635327186; 633191418; 514415140; 858457149; 192913692; 221618459; 197021616; 348116174; 712468926; 532760326; 729504768; 470712881; 645775366; 443508461; 37749468; 240602966; 286736908; 313051775; 165655704; 896265919; 541013708; 740026149; 671740069; 92033089; 51157398; 278508852; 911370483; 986017875; 812473377; 533151638; 558717881; 256547534; 889324730; 888860110; 823691387; 209782655; 795425077; 15201544; 234403079; 928612033; 150462803; 949788183; 213020807; 251043106; 812056186; 408225739; 199228907; 814285001; 165572729; 423825323; 795118983; 60775129; 144536382; 496201265; 785460398; 159429688; 253236979; 810771709; 692859021; 620169388; 136780808; 992975721; 357401124; 135523945; 161523422; 943363557; 164411852; 609858429; 322590766; 322572606; 575557640; 758153868; 950650399; 778946887; 519024304; 804098556; 105308645; 66326842; 865634145; 276478087; 332178038; 839043654; 776815127; 531803683; 30197552; 4733341; 206084039; 84349421; 671419341; 627632440; 40596399; 205402973; 64220425; 605460451; 773111367; 665062111; 803313606; 675761434; 462476666; 668677128; 838817280; 310064952; 692322475; 832823055; 524446833; 829964803; 439665594; 253335656; 91258666; 637443303; 838241953; 581252926; 312230397; 342685364; 599886241; 818299269; 958476892; 839092154; 967377194; 54481904; 59749337; 259102742; 202374100; 291749931; 493971424; 421998158; 542946128; 894317831; 627886609; 976457997; 561978598; 126358261; 977602371; 773512722; 113935890; 584931163; 603598373; 874831102; 433222750; 565724217; 805526294; 798654991; 546067626; 50198304; 294890454; 99739515; 23864734; 496641198; 805630955; 634110784; 542440456; 101633115; 215339812; 930870018; 151579248; 756148646; 473072316; 930999322; 660107471; 140048095; 173013841; 976270308; 573676436; 727042818; 502377578; 680396608; 290918301; 715683520; 777117845; 680044050; 382672006; 934731983; 787692165; 514305736; 590666812; 811938833; 673814370; 212531288; 855947946; 400892863; 860982269; 560539452; 610558083; 689706994; 11065968; 34850853; 189524688; 608466157; 705005313; 846985145; 21085611; 167857162; 401535941; 169656148; 932474146; 247339048; 282978868; 888953932; 997117021; 435573028; 722729797; 138340050; 45101487; 305876689; 530544258; 901030171; 155760493; 140813652; 105610367; 441283158; 631309110; 100762530; 83922353; 519516970; 666137615; 663935246; 814974216; 89493439; 880894528; 703716872; 899271297; 166055648; 427353845; 182967947; 933418977; 384028543; 899907006; 929161346; 301784906; 156398670; 922564900; 693022448; 331928188; 538764568; 184561541; 125676952; 371646546; 291848249; 600512202; 626232135; 691494899; 819640652; 76609009; 639541196; 315638309; 242411879; 297262863; 165369718; 946861913; 448305936; 844971381; 863290159; 691059603; 523892430; 879593614; 635390790; 761196792; 189399583; 804448137; 884004874; 781272706; 734518978; 697195676; 287363955; 786258053; 891378710; 104561761; 840960650; 629962440; 915382511; 571421284; 298263132; 132930682; 843677520; 881117954; 736290223; 862516117; 710804977; 392314680; 906929975; 539068678; 174499499; 266073516; 181317361; 365255597; 560037828; 409207301; 477606739; 993796749; 241611882; 856364640; 735199239; 745448574; 184870696; 983137623; 98172885; 361261195; 961632263; 828261049; 866948636; 744670093; 279800186; 546742524; 884576854; 877934671; 441343549; 927120446; 256470090; 51630490; 538010666; 550799515; 534733562; 442359443; 33046028; 706948022; 160351982; 235110166; 507006328; 857823330; 909637018; 688584158; 156506694; 720108500; 2905273; 821709794; 802591565; 412109676; 618512619; 221268775; 861656990; 487850392; 600476115; 394798851; 57829760; 220126539; 841403840; 751733045; 518761692; 255705758; 959187512; 518555005; 500739274; 621912591; 576481533; 882931145; 121981446; 184691600; 314801935; 56239966; 278843237; 686721031; 596754421; 392276229; 659442104; 342488874; 751629021; 912809296; 362853029; 765139193; 29093597; 694445085; 45292008; 741541926; 923335886; 470128010; 920324460; 833652387; 355929619; 513549651; 454639317; 105897314; 307625082; 607778694; 403398953; 278140806; 91477460; 92940549; 385760883; 991995248; 673195982; 302151275; 281942777; 325512511; 175461141; 798047189; 360012603; 418516211; 827046756; 202043946; 884742615; 442268665; 722841600; 806825177; 451001580; 88852632; 997132917; 429814447; 521546930; 107093219; 695654874; 916167262; 943333559; 454839021; 6389231; 533042776; 890420340; 136518384; 223863073; 58481928; 813749198; 572714968; 852432903; 598435021; 800723803; 483873769; 531096436; 926324258; 285885525; 424399341; 99874681; 322043683; 703254314; 800226998; 197364278; 980638105; 308796195; 871476504; 284680599; 162499377; 109118677; 345823379; 184353920; 38657888; 960419656; 734667033; 155477357; 394077271; 236519199; 191710181; 504133000; 604757055; 275052993; 188303908; 79219365; 716579612; 902195544; 127857085; 717361919; 857431657; 793250847; 445515618; 83823565; 170954940; 60856912; 633483727; 829942123; 620544538; 965720544; 459481009; 428601061; 897424519; 382330885; 715790086; 23145506; 547911734; 111408861; 262036290; 663785936; 58886610; 975642913; 853974938; 585106612; 787812198; 224964435; 633164705; 510665298; 542577494; 681562487; 426310018; 230668096; 359911234; 912593284; 371598482; 709019792; 710630445; 695762257; 322052536; 791747461; 904864119; 606421313; 969191161; 504092236; 603055605; 165504188; 936565503; 418483584; 276025732; 409801302; 323511606; 508012180; 384873201; 214413291; 905446837; 499987674; 185347954; 550556085; 953996339; 495259823; 805265214; 787505333; 411989403; 710915668; 683889040; 772431338; 59121259; 107304994; 776090448; 201635028; 783952968; 750389114; 107498129; 101490356; 221011666; 262831289; 564997379; 579225251; 719146020; 242960704; 693703497; 547512679; 431435745; 393720258; 634429038; 221213062; 722791940; 684503525; 309996299; 572794510; 795689484; 39292580; 77954271; 439495135; 287996790; 430422067; 598188778; 483931014; 960567333; 24807147; 560626188; 471944087; 534052865; 350315260; 961905863; 284431129; 390315874; 30834808; 587307193; 158852650; 568970797; 251657107; 298557619; 311064204; 675732302; 904735663; 271436425; 872951302; 136218271; 22297482; 452724522; 91627036; 149020233; 459412537; 131007150; 352914759; 611713639; 681902323; 961290185; 464160783; 838090961; 62746879; 751129301; 865788812; 211285349; 403723623; 598943083; 552657833; 263730609; 556429072; 397025352; 676852120; 517492550; 82575906; 384977981; 696654919; 218817398; 580505358; 812138866; 348241788; 841773185; 99132567; 506745272; 86957992; 425357199; 900541830; 406492737; 459354069; 849519310; 656058151; 900646995; 494234216; 538486840; 997748649; 268469623; 983002776; 350341267; 839125001; 89411448; 729149366; 366815759; 78552347; 62455975; 922162137; 253841883; 615886150; 243006011; 559644279; 442882766; 276302744; 90880780; 257532147; 357322419; 776104634; 978632357; 728524339; 532817734; 807928501; 468080200; 442262852; 362507575; 610040090; 344684470; 278300201; 170005533; 565100686; 706546763; 560926000; 882779424; 817519543; 417311799; 569154893; 343393094; 939548781; 380310475; 878640521; 146336975; 477938234; 605705346; 28859660; 212352118; 855630884; 716040422; 732579072; 998314636; 848697746; 479344444; 838622719; 891754795; 740572601; 348655665; 498757165; 341505748; 224267940; 356479947; 623798082; 865480073; 212178921; 175503891; 789042513; 381537538; 363067679; 716949794; 68005454; 194862590; 461449233; 664778179; 449453637; 56476486; 85808649; 815776673; 247062801; 528829087; 848436456; 67384527; 611583161; 624724926; 277545490; 953039539; 492506686; 494492145; 8860328; 290502236; 435238358; 534685687; 945850741; 371318539; 937878947; 950272166; 10609133; 777636288; 79729177; 122837595; 899798452; 332423954; 126384097; 597920660; 574506916; 335509470; 555002315; 114318138; 983244624; 247722753; 466409213; 223319027; 867881428; 670256192; 85421518; 227014684; 25685829; 377193211; 852205601; 964004090; 113382815; 974754018; 723017683; 60062848; 119102364; 145331372; 59447064; 964351485; 999277401; 52540125; 91880450; 759767624; 220506016; 815045299; 444998604; 710907196; 393033423; 555093270; 152216668; 714807924; 826179451; 319226063; 368728976; 622377682; 556607721; 676820315; 531176188; 720077552; 416457459; 279803298; 84548877; 985898378; 497163114; 431885598; 410048981; 826661877; 671235678; 452211005; 356557567; 398256876; 452358517; 529454370; 376259113; 876513783; 399406680; 947028339; 560585614; 231675864; 787996051; 814859008; 112770908; 978115001; 692864949; 701312069; 337815152; 18000932; 798558286; 392578603; 906499101; 217852164; 909301913; 726200507; 907707161; 868281328; 842596474; 222409242; 343394322; 900346546; 313594322; 386667313; 830978190; 287409938; 3098673; 548312055; 886586086; 710457184; 518829989; 340902933; 99571812; 353475286; 756230038; 143407665; 842188681; 472722426; 735167436; 105900646; 225473947; 184836273; 231567463; 143549106; 528843879; 220779456; 561082079; 14486797; 195496757; 787955775; 349857789; 497769649; 221109097; 153033889; 765900640; 800795899; 720334380; 593086441; 299123651; 264264733; 30028798; 25932878; 56542218; 327188354; 988533890; 268347021; 353301456; 140687090; 70802945; 600895709; 612660996; 934373948; 563192265; 973135364; 903836959; 841752471; 424411686; 514152049; 555560763; 923200844; 717654440; 889239643; 597268391; 941570369; 884908498; 493516525; 651696155; 931881847; 88825327; 924534843; 954712480; 782383869; 776418079; 635970376; 416424385; 456801944; 171332983; 335852171; 1974843; 57207539; 597540013; 987043640; 104358915; 879646156; 936324813; 369884474; 503370247; 492664431; 902801686; 638582850; 964463518; 669538521; 254102655; 61675092; 713236791; 287406961; 437380131; 741675477; 803834099; 594069915; 379914801; 493642810; 948365835; 512801290; 613024695; 637654124; 746263584; 21636373; 750548999; 677258087; 95160309; 47937107; 948732884; 810907561; 652293929; 115181490; 278104058; 622035764; 952340815; 725223263; 158180700; 143047073; 619492773; 892435783; 134454712; 508681246; 297283344; 950567342; 773216843; 62198193; 285510042; 665302949; 187377084; 77586670; 946276215; 489964974; 765306453; 282153951; 81831097; 128753776; 890498538; 239092567; 348340235; 392159239; 190690351; 896030777; 352961817; 705451192; 251551241; 822998241; 218140885; 993322242; 802944428; 409236111; 531913867; 332217458; 654545309; 192376351; 204238431; 247389792; 400564233; 195573138; 506741256; 184503187; 671541156; 259947397; 469221529; 744537640; 864210356; 681697799; 375079249; 890032230; 843750071; 287024743; 621361961; 325920039; 820435832; 658424432; 696027407; 477242973; 527491520; 355773000; 882092445; 190076220; 30195682; 583167954; 424690510; 451732221; 130512938; 449791071; 796273129; 875934888; 198865960; 591716659; 517918480; 294201687; 949821777; 520926274; 47110037; 892145568; 434634513; 95331204; 591542299; 9528892; 322213439; 37233537; 724517351; 577600805; 641241332; 298249715; 920599699; 397525373; 741315328; 438305861; 348181438; 167847360; 821388347; 808403715; 236902433; 301024448; 707896863; 95685570; 859319259; 795929248; 502091326; 31925446; 587062673; 678744209; 431220823; 800390380; 68782010; 171623313; 753876846; 218540126; 9086118; 173725297; 88735181; 531225302; 87977229; 85125724; 242017975; 547722436; 989145460; 176154815; 891998570; 684628122; 402554555; 575925888; 972333455; 889711947; 449297481; 798409841; 749103825; 439594240; 729056591; 489426544; 352390670; 537625628; 715378614; 577932414; 830642439; 304145900; 338039319; 338771478; 254610620; 602884903; 756176215; 358548426; 906538330; 925944434; 371021446; 259535810; 759191334; 669194756; 561203862; 692018279; 654322158; 217601691; 676892159; 157454889; 875414255; 887135634; 520957846; 288500295; 731568314; 802351122; 20533988; 825447292; 670111270; 139472969; 976846130; 307111806; 143694009; 996397715; 681262136; 867271616; 369536480; 509725225; 387320638; 897135434; 882831777; 119653512; 949658995; 586433554; 843766815; 456848318; 250124905; 583295748; 920479916; 371789412; 545943408; 401317241; 408923376; 596313025; 475237872; 71314579; 972760027; 678038903; 974523166; 369335229; 22622088; 982525373; 893607550; 517561485; 359806128; 274617587; 826160213; 368101759; 927956351; 712200781; 512059093; 109490437; 654420860; 404973788; 776877332; 28508143; 957692374; 63542965; 208534222; 196813776; 554917760; 101631102; 278606039; 161090202; 558420375; 744877441; 822278838; 342179515; 289070978; 147303154; 689214364; 717783717; 787148685; 418946061; 948006239; 107439739; 915478828; 665988350; 917375491; 980085347; 710719311; 670244414; 959034140; 651516882; 524873546; 398721413; 232014060; 985418833; 614939714; 686971707; 952706599; 839597714; 231971992; 989245900; 872303269; 682678605; 910729604; 967110033; 447174638; 584545084; 447057023; 803654431; 675155385; 241590513; 939576363; 557370860; 912305120; 335940907; 677201468; 386526883; 599113016; 248184520; 571993757; 613233952; 576341049; 194098652; 92071209; 359679997; 493274959; 361099977; 184174270; 898090252; 291500633; 445857769; 117237528; 509040878; 900783542; 25535441; 347317710; 471658678; 540347377; 858579886; 797711223; 16426315; 455132645; 200288070; 423889031; 71045107; 49766711; 762632846; 285773505; 369459003; 693911129; 311764732; 123372707; 295844016; 530721977; 738050559; 79855917; 435544503; 602936002; 778556811; 994327894; 892404743; 648336543; 999443140; 123377249; 931418432; 804920793; 844051013; 849639015; 493614654; 182005993; 32013189; 530737123; 627060430; 286754841; 936157868; 588560152; 221591223; 917172707; 613742466; 417256379; 742830135; 420055838; 685672141; 231519692; 584682837; 27050586; 260642711; 986202629; 267228142; 465239277; 615239487; 488194545; 926520755; 28524111; 869962700; 666981317; 373440980; 429591093; 228822577; 761097195; 199223478; 842176488; 279773666; 588854934; 741614636; 753200198; 254639383; 974911470; 411043464; 3989295; 171369686; 458735648; 773608976; 175763474; 92988845; 688866385; 283213556; 157243148; 48727232; 844406224; 857675016; 219866766; 66783607; 276573639; 275552115; 948573835; 797588179; 434412287; 385559080; 784254528; 460491681; 649498200; 20790755; 773830274; 877796450; 766622290; 593626130; 912140605; 231801639; 986829704; 550132518; 38824634; 512449243; 75845938; 787473021; 91483460; 143376550; 224931378; 423280636; 64474622; 222918233; 467536615; 868315479; 975006321; 207048759; 403218441; 803968307; 132106951; 102750885; 763629600; 777055455; 99597750; 704398913; 389687242; 198780432; 562146070; 763913022; 119583361; 790735437; 588679701; 733666446; 700369089; 393513705; 629375352; 960764372; 402346215; 963992942; 707953246; 350438637; 340276563; 640779810; 887784297; 367312321; 787857573; 547244472; 818786835; 693617295; 881894928; 220067242; 861029356; 37251622; 326849886; 702522883; 184533999; 191080389; 178189482; 92785744; 923091969; 316136000; 801913292; 972131797; 978697135; 614945217; 409368891; 908282032; 42602728; 284024984; 847132034; 976363091; 594320831; 677263278; 966621809; 726841903; 367325902; 442536052; 758417275; 706326928; 589160355; 421479060; 30113673; 647417181; 923031611; 720301477; 92646699; 849283914; 938903264; 984680650; 134452439; 735638748; 142341777; 430634029; 745601656; 5770607; 128395023; 417738645; 812401695; 511802566; 459298765; 424001100; 581529534; 678217823; 198681441; 592534220; 981914093; 405069272; 145506677; 3632092; 985965279; 271872576; 689035001; 26711338; 459796105; 834249537; 690475701; 247329244; 335270412; 751586225; 706056882; 943796646; 847265442; 161386259; 509461595; 681721668; 946924169; 576821184; 929667269; 88990986; 927747019; 614490507; 106856748; 740918225; 861018704; 271139599; 437209127; 82555355; 570963597; 993928641; 530906595; 397749751; 792848367; 766568589; 450629727; 224767004; 76083764; 227429419; 511768720; 126920059; 208724388; 60174118; 55371973; 114436328; 553400181; 957066613; 160861498; 627381248; 458689657; 296831691; 158622247; 993476588; 924395567; 389101850; 811714307; 307972195; 329010962; 928842462; 976929314; 84340481; 140126627; 13244278; 908147370; 282001816; 228606203; 175010083; 249010413; 392603460; 500346211; 334943800; 743742189; 515419973; 376739163; 330777288; 511316408; 449759706; 736020166; 364379672; 63190296; 981967388; 587330850; 589165762; 76614795; 298341043; 746495085; 744579079; 677565551; 37186257; 588996503; 805938133; 406097182; 88340783; 383747110; 471339172; 472073334; 870671253; 417151971; 965653399; 142538103; 321045537; 84179974; 111235617; 559536202; 541771568; 825908451; 18634353; 298382969; 586842017; 561030401; 435683332; 529124432; 424372972; 683325454; 62747717; 368411521; 847908872; 734677066; 138625601; 968111824; 362604888; 330156339; 377021987; 114831902; 435293889; 960313635; 370879461; 214691350; 773599890; 850434833; 104105978; 341710088; 768074339; 294885324; 865172903; 862208833; 581243647; 960447478; 738865305; 908357803; 318367244; 660279634; 2993817; 484258211; 503943585; 975184869; 728853213; 921202606; 896064616; 703932666; 788173429; 456077595; 499694074; 699301854; 722427053; 149269748; 683315945; 563775364; 52061621; 50953404; 802104722; 727425560; 56878662; 346385367; 708346539; 816856421; 999259886; 830184067; 819841159; 695577498; 392227217; 185624042; 176920305; 28405167; 173066508; 442482096; 104810077; 110892211; 354910883; 103948045; 110481945; 713721430; 686914903; 714892646; 495112408; 56579543; 714674240; 579662160; 640615529; 441490254; 732420994; 364893145; 821301831; 353570820; 253567246; 942568204; 499065116; 386937101; 955608816; 748327452; 839543635; 290590228; 747469238; 675252591; 680934682; 24601096; 986454927; 265085084; 879065144; 76186231; 309187308; 495285503; 200495578; 155015484; 135465105; 128262928; 335079402; 87479359; 118565457; 890119315; 55510978; 211128513; 41615251; 648025428; 19633676; 983429138; 257954699; 818660108; 468555063; 684911651; 645868377; 844930085; 425903804; 119663636; 419808931; 495072422; 863563609; 248439566; 923980141; 65153816; 68309945; 658123263; 554701962; 460990616; 241777215; 88191341; 766974437; 704880522; 197577893; 10291639; 695761939; 847943642; 842573361; 525906757; 442633984; 185359857; 264754118; 489248420; 268367859; 700400622; 617109535; 171439003; 532485397; 408781778; 189954090; 483292688; 561606367; 896439414; 645275306; 204247367; 584736526; 394925280; 736406924; 851092538; 845453271; 740663636; 578545993; 182035762; 974533153; 213812248; 294663037; 83485536; 948897848; 39607378; 890689909; 830270433; 795691355; 83103023; 609131839; 103124315; 180923626; 641505107; 400009525; 489808373; 251154317; 833322874; 111577321; 580796587; 771889288; 684477107; 252556254; 704655042; 544990410; 852776408; 459111616; 274543270; 99149936; 998020472; 646957493; 388954144; 700918862; 515965322; 57765445; 985412021; 17852875; 485819126; 500038181; 690122270; 183315034; 15638536; 757160869; 600578379; 740603447; 930148206; 245243807; 780464089; 379204189; 373490993; 610478664; 122985287; 959493758; 27116996; 751203948; 732345762; 480723478; 422239648; 310270377; 948200469; 102698335; 588865977; 107658807; 325101836; 763648876; 679976475; 643664496; 622974389; 861448889; 973546317; 691315135; 884059821; 131859027; 668774289; 172535088; 202508296; 321053099; 166919027; 171552941; 150221486; 826147217; 890779117; 693036460; 103452310; 103080717; 786869236; 774378715; 924117051; 431160; 236829489; 537193790; 836657883; 471832082; 244981839; 922866236; 359515422; 178379727; 453666351; 388210150; 251733914; 739477389; 480701591; 690611422; 845749432; 974237208; 830649539; 892826033; 318719211; 255794087; 8542743; 304614138; 726518994; 373788931; 974824405; 743835976; 680280834; 154046180; 138266699; 2765959; 395571037; 239833282; 108312102; 93448015; 961245990; 688306215; 871434609; 318548234; 460304278; 168799542; 713206254; 990549476; 370373683; 198335810; 181111418; 229746112; 770994459; 283851034; 923677787; 662870722; 688068159; 350424386; 483834274; 343976709; 417280890; 980803329; 559085965; 893287737; 870250221; 870391406; 927987867; 611340522; 997605464; 315567728; 695101057; 159357043; 791049654; 276628156; 712739920; 407774645; 524486978; 469796296; 541830952; 294488421; 431846353; 691649513; 843040161; 700978250; 432213907; 124091995; 363754447; 833271800; 979460710; 43312655; 360034718; 443626213; 576738632; 181105035; 188668998; 335419443; 301035680; 266354637; 281649518; 884141275; 163397097; 467237254; 916886000; 534173730; 238946663; 568308448; 639110220; 621127034; 313199134; 759242429; 850235777; 421964863; 951921684; 887699516; 358173638; 53026916; 813430739; 665366197; 781590862; 724768560; 870080364; 592362969; 518929296; 257704366; 895545943; 245317372; 25917255; 634365770; 128739159; 491453742; 769440334; 641188742; 473521782; 845336148; 728636767; 431279475; 246753639; 797687979; 127652757; 566224930; 519573444; 646300306; 374690240; 545902332; 792688589; 322914405; 759415631; 311057936; 763854175; 164011704; 778552779; 105359898; 977059881; 807804455; 436064259; 163963140; 216171844; 892779331; 539869707; 777510542; 725215569; 312581809; 528525533; 446104950; 235190480; 776285262; 996274378; 906075685; 986986711; 571411616; 623502187; 283646376; 996236571; 834206081; 413465777; 241956671; 670839837; 304725782; 592519188; 55315318; 24530518; 926930864; 7817094; 284053758; 865309298; 877687861; 417767746; 981930508; 204271123; 804750146; 481199057; 775516580; 948047092; 952497411; 463351483; 38498878; 903688633; 116378456; 799491525; 330082150; 716563263; 311406019; 868889238; 3814948; 144103887; 977154497; 71859078; 962328933; 442543027; 656967095; 115139059; 400197973; 97861210; 869684411; 532229739; 837291831; 537772329; 445847543; 64725927; 893703203; 942515151; 438958014; 992117674; 667215270; 114410249; 895581920; 608084901; 865493082; 387249720; 788522708; 462149785; 609615992; 334580020; 492319262; 287657206; 578619285; 381041586; 409270561; 775107983; 246359774; 137425118; 987338996; 865768196; 940230590; 684433830; 344834828; 689095835; 319150084; 246431488; 38273747; 696390047; 453718561; 59773631; 670743134; 225257774; 455122638; 437853356; 387947963; 8017627; 844160252; 484013424; 807289888; 215654807; 331626673; 81520405; 919840531; 564787131; 627597459; 925943440; 84989038; 73405511; 657027342; 690496305; 956537332; 548681002; 57563937; 684642341; 268638738; 78175307; 427854870; 837830957; 887530319; 10681834; 368859999; 173033785; 478681249; 620866211; 605657654; 576092168; 884281300; 50931232; 93496263; 534703950; 796995342; 329394314; 162168479; 533515516; 461761060; 821440211; 786750125; 47699711; 740033985; 266906687; 264892306; 935244076; 398908407; 277363227; 673778389; 919133696; 317649311; 905245075; 88137821; 457967537; 666232772; 329478978; 160989661; 127137708; 3451334; 934956479; 1590074; 531898485; 986550273; 704542401; 611580482; 152832392; 106119052; 367600326; 617872796; 956568320; 503750870; 783056630; 633626459; 280591451; 506169979; 645362998; 75076032; 602949416; 26578011; 45873942; 15784880; 489516989; 990472392; 826100325; 241492975; 699128284; 82705347; 220086251; 43471696; 567070432; 42814933; 492460693; 725200706; 825416646; 888472237; 539118715; 315970344; 825268857; 762712770; 975642946; 367419772; 270700330; 246174809; 5571193; 457276187; 173712989; 624695810; 572948814; 859982821; 251291314; 597394351; 264014738; 679132832; 165787755; 859177005; 326689375; 10542783; 974535283; 888557381; 957367625; 671459857; 792726345; 409985431; 31535924; 4353523; 487995171; 407528357; 738561336; 844473757; 293959920; 596362642; 564206453; 994931890; 448662958; 495160983; 747174370; 335724957; 393881317; 591647815; 399382707; 330189207; 256686347; 239380416; 13970503; 83086391; 770517577; 735157685; 28602417; 820242159; 964991393; 394542477; 62404280; 736263531; 124502058; 654433456; 827511368; 340549921; 591000029; 996249458; 647651148; 361597668; 645220133; 873372929; 165207457; 60014328; 308788027; 80119268; 343630727; 451879617; 949704403; 343818468; 557780468; 105147136; 629419695; 241380493; 417187963; 679236208; 381717709; 357960194; 189811448; 966606384; 47091449; 453465896; 278075572; 712874926; 946381891; 804470503; 418528314; 406702360; 710928730; 327556200; 731313558; 996011998; 805833426; 394134232; 330103921; 956532385; 272248857; 302620491; 543166879; 726903398; 472655624; 285125000; 738113274; 272060784; 784299198; 888077186; 495399490; 710657203; 228851086; 660355682; 937717705; 928431946; 722377014; 9408660; 129158217; 299965190; 627720096; 908664091; 746337305; 639884827; 212645327; 560098950; 895984255; 381617133; 593890621; 686172115; 77064307; 741991395; 327351945; 488157588; 165494398; 273895902; 618771917; 362369752; 536502578; 451194580; 264082498; 860328751; 896556487; 729604272; 690703756; 957623012; 939957364; 209925585; 936465014; 322622472; 419477545; 173083264; 999727234; 872261183; 138737982; 40459851; 888084253; 404932251; 500902887; 583717975; 701620137; 529669042; 722646297; 419175991; 525016685; 298114673; 78585840; 311215578; 252718349; 362503213; 901385805; 92871938; 81617874; 810437219; 361012710; 184064772; 142508982; 937435203; 396742132; 692448455; 112845425; 470048273; 678578137; 176852820; 856568468; 739854978; 985879123; 930516678; 349569253; 992991393; 407318683; 857011551; 275682730; 580294377; 265599994; 136097010; 732709729; 447961274; 554984269; 204300311; 827813633; 157201662; 687803737; 185862104; 612030138; 945332087; 971160130; 66347099; 46177788; 210261251; 821159117; 507735523; 200087181; 228950604; 286589671; 428017589; 902297697; 77552342; 950835447; 766032703; 369925651; 835272069; 66779310; 345013199; 922675246; 274881724; 623185826; 441200027; 186943173; 300136411; 660989502; 551181188; 554477684; 659419644; 383891171; 401453909; 127959006; 657360438; 901066413; 806286109; 890578811; 149882952; 539207385; 908269480; 963705621; 437102244; 128811072; 620752763; 249012911; 23043335; 277087199; 307904911; 639723461; 566740738; 828524330; 828372065; 113222217; 813892922; 350456740; 619530546; 171859377; 42411313; 375205672; 4110306; 617678890; 875829920; 196719446; 84971941; 960129029; 354330557; 238901325; 944168954; 239246187; 853515971; 307462677; 803582328; 375385313; 411495089; 340149193; 363489558; 574656572; 417422585; 17688397; 169311267; 572012175; 815803568; 166640811; 406268282; 316509117; 743939456; 926261890; 354292053; 972550670; 75688254; 235654347; 131076596; 1722057; 923808899; 58324126; 810239443; 448219447; 487470492; 134225100; 32328803; 980763108; 16747641; 542710575; 741646145; 345807176; 861869411; 668650866; 862649021; 321296771; 741645345; 346436867; 33749007; 781473203; 158576983; 271579904; 807461796; 310357159; 766465443; 84867087; 186246773; 808268159; 954066206; 576566800; 960766384; 171476242; 4160503; 605583973; 885830574; 379165410; 322121190; 411765585; 476131255; 87471509; 670550077; 801423630; 819885013; 578286536; 254690419; 140702226; 47258773; 272369144; 348573101; 509072355; 901219116; 42470959; 609775270; 592576420; 437239044; 787005799; 703075064; 960426684; 130226823; 525126157; 352416950; 867374293; 293230178; 970163957; 407354881; 695284689; 92520986; 952477771; 940273135; 786111107; 841162800; 115852810; 334649406; 975679710; 468090655; 928036684; 275692423; 693899778; 140369408; 381244432; 920501795; 831270957; 914891729; 290651276; 996230516; 581646389; 409263522; 818892081; 605315078; 436330910; 889114906; 514849994; 855419611; 686219237; 838020354; 213922789; 929679750; 334236539; 422848030; 57405189; 11958360; 105627569; 703804363; 432210059; 731677422; 950454270; 381019873; 400450902; 319777813; 331368306; 664494948; 740315392; 788958345; 94547932; 642884032; 703834332; 927304115; 499244924; 230283614; 193686362; 638523287; 949452556; 547220373; 226200699; 586665866; 105781000; 523676359; 149220524; 160026727; 123512306; 241740661; 386256774; 791476741; 621639705; 488993409; 690106586; 769290035; 513659464; 454416088; 12619573; 589305523; 643659412; 668923826; 576295091; 572803708; 465582616; 495743339; 800825067; 566762319; 351726582; 597370357; 941433733; 417007761; 145811350; 209394050; 167898421; 666776325; 593596124; 930562783; 5040044; 20269235; 946204694; 628661571; 741760822; 902902850; 577004917; 699313457; 21238997; 731555480; 914189067; 612964513; 446423306; 396049515; 579250130; 185607255; 376344721; 425601162; 524719191; 536048067; 258640710; 844356045; 527540008; 651801826; 305867907; 400024693; 61218613; 195229055; 366760632; 966523561; 324066263; 837176368; 620267096; 761817928; 530653973; 350403912; 622087723; 312865768; 501384753; 501217595; 907392238; 460602908; 459438703; 831976081; 803546026; 517854844; 891388162; 781830479; 861171380; 276096502; 452131292; 160737786; 784492883; 663854888; 574376064; 999995278; 670535550; 497592542; 59022778; 619461689; 877509905; 378287681; 219757365; 781684031; 742755443; 598201212; 146675201; 626408245; 383725859; 286042777; 73412725; 728858824; 775968078; 941833314; 108406233; 550553033; 700457984; 448763253; 654806878; 665419639; 959871461; 609501189; 554058004; 791505976; 338394240; 49415942; 344902729; 180860979; 145517285; 215093429; 841554; 422017541; 894654790; 320037778; 489378636; 588343062; 592238318; 70077287; 40062575; 210648465; 887734776; 519738204; 205129138; 520077520; 516222786; 572321541; 514392433; 365546224; 375584600; 1416723; 201194330; 347571084; 772108691; 673980382; 40785111; 668389268; 568594289; 555399638; 309041455; 874006237; 590215893; 184657229; 132194749; 255056308; 388955112; 71041211; 528236276; 612194315; 890894706; 876461388; 740683970; 72388444; 779620939; 854055114; 354259369; 435455670; 863145461; 992866183; 314151502; 868235323; 559355984; 958579771; 328860150; 906747815; 736087233; 916408762; 614295204; 835902022; 145385787; 806444084; 130811967; 876484074; 14700914; 881979990; 682509003; 988407047; 536843463; 122397371; 898638446; 365718299; 731222328; 249203083; 342369123; 747815162; 627298437; 788513784; 770873655; 690130084; 113530671; 997047436; 265962980; 737278137; 537553397; 859734120; 238733023; 644188666; 139370354; 499936826; 858975930; 346785446; 67324201; 751968684; 661005387; 388313764; 707989807; 774822704; 215245238; 205721723; 193234735; 969414176; 152604116; 345304285; 701824669; 242856443; 515843026; 15347417; 153204622; 392345798; 165078993; 806536832; 94750412; 774316875; 75740532; 315262191; 701952801; 229036352; 617633616; 911112982; 744814292; 280124205; 960876277; 623068266; 733831048; 23192797; 700415710; 579493479; 369081556; 162736612; 105107262; 207433121; 606138765; 753213545; 121846793; 932038297; 150414129; 349749851; 651217281; 936465381; 28161316; 840909642; 174041171; 335822833; 664767186; 118885132; 377643944; 616658794; 706884143; 590657598; 27201744; 643745056; 51684075; 316779565; 297886445; 560408816; 35752087; 907960562; 523770419; 984830858; 707649602; 818245715; 575595603; 457070890; 47519946; 778189285; 116544979; 310867876; 649456528; 184872825; 860937140; 106661867; 709258301; 971484025; 996602858; 258195807; 78808769; 785879478; 226646500; 173243874; 266143811; 203298819; 950881971; 735193349; 267379043; 390199692; 250835803; 6313583; 833222964; 22653782; 796486382; 445704720; 26179210; 944460049; 607076257; 180458111; 256314495; 438961229; 82982062; 147212015; 20292666; 630976936; 659189946; 891373880; 860672940; 937367362; 833312333; 192821121; 266879405; 141832388; 402983357; 405049497; 729577383; 154182185; 128360984; 891092465; 21494095; 8819285; 111923315; 906217553; 609893685; 998602779; 457805575; 141447149; 847562769; 477909830; 873294053; 373779555; 391571767; 950472913; 932461589; 23722903; 708525876; 732990610; 362289751; 327010812; 905881484; 228816135; 67484265; 640066887; 655007688; 564053763; 712646890; 880160418; 197586097; 394213322; 849046908; 548031787; 810386089; 407298339; 429961173; 479285997; 953018966; 837922030; 966647657; 121413212; 961868952; 800048134; 45102811; 87599343; 70205632; 234826179; 350065848; 358257915; 488407299; 473126916; 935797154; 49043966; 327096364; 732953438; 476832342; 77183298; 291900112; 281571929; 932925152; 905313653; 825791590; 718278588; 92896415; 129411629; 717291605; 874375885; 638539430; 982531893; 812396331; 230520934; 23357769; 367074177; 161026612; 248032617; 150611699; 916539150; 757113466; 309103997; 79099618; 541653722; 881982362; 577647010; 468578773; 95298530; 79613451; 835234786; 376219779; 422146485; 560276314; 104356205; 1342389; 15353834; 980645456; 777941654; 180650754; 922145045; 924728508; 302265733; 217954886; 410221054; 816724727; 872067914; 113828339; 663323008; 795907452; 991191713; 760150362; 752915519; 850422105; 610766297; 825123341; 108860098; 370112183; 132004583; 896553704; 576054134; 13541692; 708339878; 545418615; 721872296; 256665109; 1607348; 409366172; 730443497; 458665520; 349721291; 356904805; 250223431; 49819993; 130740352; 461517173; 477592459; 603296291; 291745893; 263899305; 685200666; 418899353; 642112488; 100255463; 25701237; 674111261; 12025155; 702821920; 380627308; 997250220; 899956851; 774423224; 858229392; 922064343; 862487497; 746274828; 632114242; 261835932; 884207416; 288727330; 556576561; 205784699; 103017253; 358432135; 574742070; 608681256; 682380082; 379896762; 290683954; 823587634; 639179822; 618252869; 375290467; 673945207; 183919405; 721871079; 887844371; 98292588; 492194901; 781351951; 823252188; 627284067; 119252763; 967844988; 829609134; 195344150; 641668484; 39457297; 668196730; 561250404; 293411311; 910790202; 83270589; 755182386; 248586398; 758418022; 900406478; 67489470; 675425665; 778050545; 28450192; 377755269; 864075268; 572700161; 159671682; 189516084; 769692085; 982684692; 232171500; 955846837; 936498911; 60604561; 24817107; 290863396; 320998329; 975949546; 568038318; 981190313; 839934801; 731076705; 308765076; 49096444; 819186033; 121848308; 70048167; 433291522; 267715821; 205039677; 592805204; 319299929; 885698777; 511372058; 929917426; 125995414; 149593146; 378173517; 302916978; 392260726; 751594922; 402696501; 895475947; 442135723; 328589509; 513754209; 286390704; 709180855; 492694123; 166449611; 464697345; 526361930; 488788749; 928531443; 158484487; 837956847; 428447401; 864250592; 398249607; 869305947; 701822825; 743938133; 262454938; 639477906; 823531685; 624565409; 547453600; 716607163; 806726068; 481458249; 239251348; 870986740; 805274234; 294326136; 127686964; 597119402; 549132515; 605297229; 770281527; 148357605; 205384978; 651242353; 965017706; 402552297; 486551664; 112902824; 994657928; 833204318; 100259244; 953265919; 917913257; 169572574; 130576841; 377044599; 492524142; 697767640; 913104551; 10323877; 854551002; 184070460; 141705341; 37213362; 971900688; 638515304; 642255796; 534598067; 280654043; 886918634; 198479778; 801969393; 738096985; 725846998; 789502966; 353429063; 81959903; 503451428; 502892741; 639583507; 266210379; 257818524; 961709196; 756459501; 174365787; 959290232; 625277241; 187319629; 622669583; 778823768; 219913430; 766405926; 481760814; 579456342; 458888610; 585156669; 410860238; 306914197; 753019689; 794847260; 820699408; 698750276; 119911626; 96469984; 400732723; 972435836; 520100117; 993044448; 514252505; 28815651; 534081884; 250501681; 568185731; 899370670; 418614384; 218916756; 355712045; 800709750; 268575475; 301944096; 561825157; 184448060; 634721854; 533861926; 378212406; 772078093; 269433184; 126996252; 698777501; 721810714; 28087101; 687535443; 618074056; 664651926; 990624850; 65429409; 206178162; 379516774; 737428978; 993696277; 907080269; 890636506; 365954149; 372075589; 895539291; 200688630; 155093737; 217407844; 313369250; 281664062; 487411721; 782448068; 606642099; 408623587; 932294305; 431402982; 330435073; 81843943; 979806998; 199052785; 248061742; 694000650; 206143634; 497270481; 460595782; 592159296; 721565842; 949741474; 159068462; 317224176; 754896533; 315677303; 523947264; 390911335; 498970408; 926554262; 206207584; 29159701; 345630764; 900017854; 862775304; 285288725; 286757121; 921923860; 237932922; 550426579; 912594793; 939091280; 682666570; 432894167; 108345360; 346974721; 626010936; 727440122; 893700162; 24427209; 780211311; 215237705; 926933860; 514718056; 558913948; 546502064; 680001471; 331080809; 829837662; 940260271; 920065237; 329586397; 240802001; 66061750; 644707066; 454416644; 639583822; 189923386; 861059742; 918108818; 952514870; 313067234; 762961370; 617122400; 716367107; 416111129; 793769920; 994579454; 174294660; 248181693; 865607163; 999612287; 886616722; 812267661; 896452488; 268929903; 935083768; 625326191; 321815584; 758910465; 94325909; 424456375; 366318098; 576671933; 752702039; 607984122; 954793058; 528538097; 631521441; 785409695; 711247709; 129886807; 723174714; 579019024; 427531135; 792577934; 781814716; 301976476; 276836254; 423758968; 138461301; 217095310; 559241948; 251074859; 121758120; 672695387; 62634887; 678739134; 60803625; 264413498; 872794947; 542608089; 155102053; 891599423; 593557492; 156314271; 391257589; 438763959; 397186178; 334079305; 801519993; 572384721; 345572421; 422482995; 437290636; 756070197; 758153784; 299011331; 228449661; 905562385; 434695259; 442618304; 903574091; 816464082; 399504768; 43393125; 567699662; 131345620; 764297345; 726119381; 488990960; 386878970; 439910989; 375851945; 890203966; 645881115; 735114187; 413663934; 25616477; 587727201; 130229047; 567982580; 970916394; 426600189; 709198830; 503618645; 314738216; 875784367; 820105548; 786487762; 747375788; 100935413; 380531094; 870586371; 184424237; 180925452; 249080301; 300873502; 707095615; 991649326; 604409542; 746179093; 448056978; 222712467; 10652066; 295170028; 379912045; 356226814; 756706027; 756702184; 602355017; 507271882; 59477287; 567562787; 506417145; 746326779; 491088687; 900164466; 690226362; 174394369; 201451106; 905837076; 57510648; 520338877; 531968668; 897624432; 292988956; 106847123; 728612905; 782846108; 723426789; 178445313; 228282496; 531425874; 922829591; 618799612; 773976976; 651204481; 950326242; 203982938; 143930337; 105098311; 502859877; 332207266; 579771900; 940568866; 71774420; 349028765; 733676706; 986929313; 226123177; 620869389; 319563133; 446485371; 539266235; 722918988; 814852538; 539538060; 39938660; 438355010; 951593634; 663448841; 593198973; 79814677; 660590436; 677357699; 440613670; 593202513; 503089629; 760195487; 250838500; 919950306; 646537243; 927152562; 592441407; 538104302; 536409150; 63571155; 195702296; 918404527; 162808808; 693940238; 560230958; 737510986; 992392320; 844265228; 695521770; 300308712; 786523306; 487218310; 192343466; 661469699; 108679465; 430226867; 941561661; 461895340; 112417918; 736377990; 696227950; 240271069; 206256338; 935980941; 859978405; 353098420; 111547317; 152239363; 296988839; 477144360; 128393417; 77685469; 763115205; 546450049; 859618098; 567035474; 829775445; 372053443; 677584951; 854608609; 586334765; 303868057; 945647995; 450081540; 245322512; 50888693; 646961712; 809340243; 163667088; 967984985; 37105772; 230666976; 471431092; 865794920; 557360524; 196712220; 339655058; 984593717; 71799367; 836631493; 767861911; 195845936; 847825229; 513338989; 802246030; 100630025; 146623935; 496400989; 932211814; 234071598; 224569877; 212150251; 989658302; 773018140; 976829309; 210704071; 976454018; 227206920; 82585603; 20943243; 941517943; 980858113; 716249194; 468918057; 297765611; 189316142; 704333714; 98158910; 660412419; 774432518; 256872964; 178332466; 149690971; 905953659; 191707343; 673508706; 328690641; 152589756; 642170662; 375870459; 82332887; 99686233; 361876656; 531997253; 587656815; 636795244; 376732436; 281463785; 333131270; 647351778; 413343918; 530826653; 121568113; 646639273; 918388676; 180500470; 141528682; 795381584; 243632557; 949920568; 770960434; 23477918; 367109645; 280753972; 931871308; 777106938; 807302416; 119782236; 838050188; 517701944; 521018678; 279999069; 95294174; 913737779; 636716456; 213917257; 313642548; 724258807; 447114817; 435888466; 688936509; 47173272; 757534023; 459798670; 218477703; 224684154; 883265694; 862519344; 103648905; 389801582; 376781257; 649196382; 193076183; 176342182; 370017815; 415275631; 159459129; 577741346; 183493187; 934288505; 247335347; 680384923; 640793051; 446100812; 472090670; 104942002; 443836486; 490041392; 177861385; 182011718; 801415588; 809341777; 72587813; 979246912; 373413730; 543484643; 164487103; 622207939; 593024874; 889723386; 281975696; 224739623; 847452859; 27688987; 249712284; 49278176; 778315245; 61413908; 393049784; 885481747; 700978812; 723208366; 480023487; 158133910; 744919697; 806460295; 823887288; 210260880; 457677739; 661354635; 237870652; 806351141; 832699714; 595028474; 205208168; 971927854; 620022468; 261394736; 608445279; 70608879; 316478064; 600923836; 184037461; 511106281; 211892154; 577399998; 591623370; 330101496; 12593437; 354113973; 838697794; 583284694; 481393874; 687939971; 407908306; 836809663; 455605995; 788731391; 825055676; 787999762; 919830905; 695143520; 985655555; 914583133; 822069478; 827882170; 259953787; 36258899; 44924245; 482745229; 160721907; 441951657; 13756175; 788419518; 239467471; 374394446; 567140355; 179443822; 367630466; 626006099; 32115082; 770233251; 492727231; 478887944; 49498660; 732566538; 359927810; 694733241; 61383462; 691640937; 793612756; 136625897; 217858549; 226697256; 224263712; 425925466; 968665597; 674867775; 823074177; 57135845; 585582062; 715076040; 16222845; 866849959; 420382573; 576433211; 881826771; 682534407; 630957686; 559897318; 915979386; 542457716; 183018756; 533483784; 303313739; 836061103; 52095550; 703490829; 804568453; 727605640; 17741610; 750354895; 658319560; 602467989; 152247655; 640059348; 147546790; 802741668; 491599574; 359205192; 128978041; 335392585; 920059071; 724881286; 164761861; 74506138; 251655400; 376606047; 187632675; 954085460; 491543906; 314263706; 541062769; 386121910; 460000369; 239530270; 667753828; 766688938; 293938179; 184910094; 670113885; 893199925; 771504370; 948104827; 701269977; 641880425; 220216127; 731833509; 586288679; 196876265; 842847229; 258464438; 770351034; 651737610; 601857225; 845208530; 595359819; 882383666; 56413156; 804256367; 506536033; 677124433; 252185609; 964068805; 537509060; 671176618; 165315873; 41014665; 472336214; 898902122; 683936452; 198500860; 170436612; 706490309; 38423920; 112712878; 495319565; 892397346; 423861052; 906994181; 144585515; 277837207; 176663919; 182309856; 272310725; 147517632; 92438574; 215878046; 639965865; 740778766; 600302269; 172452913; 88162526; 868882029; 863756969; 920355219; 319549022; 290145457; 968719172; 223606840; 992979019; 286752499; 444628732; 234516285; 456064198; 222598220; 62019544; 246705815; 477455618; 311305598; 972631214; 58570703; 699338302; 856781226; 515276101; 717064938; 281106287; 963140726; 742666030; 542940631; 617610884; 718051984; 9458187; 281266719; 974025170; 71010849; 945000308; 957312201; 12661887; 952210413; 37586241; 244367147; 693355069; 768621069; 570128064; 286258546; 14209477; 656843801; 428674664; 208228544; 245281137; 773344534; 162726310; 829385596; 79419488; 29622322; 26364387; 236412837; 564124049; 578043092; 181981427; 378318581; 951698671; 646657929; 654453223; 97630280; 337799602; 466920219; 654768773; 40999192; 104101280; 596167394; 541048870; 961765887; 95775979; 611844052; 679343016; 49706730; 214281688; 336615021; 429098028; 187109385; 522822226; 999131590; 348409261; 928001355; 800795138; 115249263; 817916391; 598378394; 901810915; 15426892; 929183101; 836639467; 449226988; 803376748; 516864930; 595759449; 876179767; 302810570; 911105003; 754877076; 627357498; 277243518; 852714689; 845500606; 747059088; 826752809; 494131778; 90643925; 218330975; 473714548; 278485257; 325158152; 313443972; 864013402; 620460524; 171319262; 826599922; 302716081; 507641478; 644252176; 279360256; 811783829; 418522458; 563650588; 818568140; 828179919; 397989588; 398312466; 679213376; 901671329; 723516429; 901751708; 724950819; 972463050; 129760569; 548945517; 256587032; 683859186; 527168802; 870762572; 471671274; 228150215; 976998768; 397350704; 277022553; 352371755; 634518561; 944496870; 970417615; 565093552; 323075343; 695646928; 923049675; 127509861; 426939471; 80647168; 278587870; 986101073; 541892219; 153184724; 281448877; 915817759; 675929611; 660563444; 803466012; 619169162; 376148284; 598717220; 471163578; 660758257; 338496830; 840989232; 187014176; 197286497; 551485906; 501175098; 54454374; 30365751; 271075152; 424823263; 593152331; 969861594; 527487488; 559978081; 535208831; 439400614; 427620258; 884716390; 805154667; 442355131; 292627100; 556411349; 179758470; 129390911; 764136577; 671854115; 205764046; 202448424; 238833900; 773462265; 253384939; 812617559; 354045667; 688097513; 429441745; 732315839; 516989520; 703830955; 919763229; 75294885; 617500955; 172388021; 743020974; 470001001; 613497749; 646195932; 367451432; 882315779; 43497988; 487948579; 557252860; 232058132; 524476577; 839345455; 993776674; 420250222; 1913133; 454045963; 914470548; 774070945; 342734955; 173226677; 620101764; 304759028; 984123820; 81225448; 307537157; 424216080; 122575324; 500081254; 695099937; 811189310; 482832521; 752463613; 857278114; 809118614; 823548858; 195669101; 261692553; 42773179; 586548671; 240450526; 559459840; 798835970; 868765894; 999872234; 342758104; 17764630; 472872145; 196338709; 934444670; 888178235; 84660711; 839878120; 578087845; 698797046; 575891142; 316849797; 424624362; 780510560; 644352590; 626612877; 110517612; 237891092; 569186058; 386881298; 923874884; 173795807; 806669314; 341186257; 228287547; 246554493; 545970967; 410859780; 998136726; 993522176; 902292008; 863049491; 223587499; 19496433; 773060595; 405926224; 924269855; 231393751; 328588237; 765748592; 682696120; 757190467; 18792577; 386803083; 497830525; 395988661; 408935545; 69474536; 380255480; 766835024; 22681387; 762002283; 877392476; 532258465; 790444418; 472439415; 85883557; 44878408; 975894962; 748379242; 484876275; 445800852; 636377636; 990959012; 937235068; 330612604; 12467297; 282339212; 184661749; 193339062; 451228795; 538940041; 707576411; 867118255; 414696298; 703008715; 563315975; 308224864; 391356790; 923133549; 657896048; 433280274; 654098768; 218504177; 277676776; 248400497; 279072849; 168938385; 914725779; 199607979; 951772405; 38589679; 156599831; 478975954; 53681060; 461656714; 223350405; 469194693; 935552940; 496383908; 448465991; 185253607; 719878247; 820689070; 681472723; 47407593; 488612871; 537766625; 540819211; 728713922; 252352715; 746308276; 132742427; 637614102; 818555327; 113697671; 637530328; 418332040; 446157688; 387243488; 334661624; 409410725; 56015245; 882722365; 367295491; 901027463; 794551603; 420177205; 633556901; 214533284; 206157335; 464651555; 808338321; 990973969; 368172382; 888326931; 276141218; 951786507; 351330032; 254253330; 162972076; 433198264; 957833273; 552434934; 937716921; 299277434; 334046503; 947587349; 997835410; 147226679; 612135318; 650868657; 48608212; 638841584; 116562312; 67051100; 257074132; 552480989; 493649344; 128397634; 971327381; 740553511; 421439501; 284611909; 753006851; 908168862; 56138391; 662379622; 37639964; 231723248; 180986054; 114003435; 817174841; 709687984; 786055222; 636694325; 900653619; 98235204; 4711197; 516854899; 528389917; 587599108; 538460343; 2764429; 134983680; 221978572; 242313151; 199344927; 935549253; 380020379; 606425865; 951847987; 809348110; 880041450; 203170148; 971360092; 738718955; 619946809; 843667553; 770468189; 468756390; 339835011; 18736880; 556973580; 800215569; 463187887; 342354259; 313727781; 278073554; 704692555; 724449516; 911499786; 157842319; 119603932; 415291609; 430810296; 132546435; 181079145; 211586023; 626196615; 767649903; 395487822; 70511601; 696503364; 238839678; 283255737; 307431735; 130129005; 139211810; 785569410; 255589422; 187332572; 157519975; 281610763; 775352768; 373144456; 972532112; 419823028; 285053345; 464928355; 363682110; 469854815; 90401612; 413984341; 784175133; 553769787; 900472192; 358398467; 439896514; 649956686; 927503116; 477154221; 301288347; 668649156; 330976866; 261704175; 538154137; 392100474; 359441208; 183656866; 741697161; 544007107; 610320916; 908430466; 506991457; 683407968; 374300015; 548729042; 49450102; 627618692; 780220556; 822591767; 583816920; 654521963; 694013265; 401987244; 244292376; 326082751; 251283375; 93248080; 992759449; 56937713; 24465600; 108247816; 961829522; 789457735; 352685433; 337913227; 67902597; 750133939; 486610936; 338123792; 179907632; 535494034; 226127448; 875119800; 590247702; 580361870; 143520698; 810481745; 686505013; 762344956; 352984990; 92135135; 322748082; 283763199; 467105271; 117105077; 155498379; 238507790; 326895033; 669816161; 552889777; 396771481; 992458264; 785996055; 809239797; 817017877; 57094253; 965558634; 207470353; 855196839; 186851546; 127469170; 620433282; 243352928; 410521534; 190212699; 830120638; 571548048; 357836282; 660186128; 378058742; 350246209; 575398937; 46431318; 47752769; 602409341; 321279087; 401376194; 854196437; 659422639; 473520463; 862296335; 721525654; 858965248; 226733709; 85194717; 102555190; 260250087; 289514521; 235179832; 698968630; 647471236; 202503307; 580385309; 649909599; 742070822; 484246120; 365075406; 784896651; 144737114; 313886682; 733049240; 933702850; 310640161; 122097778; 675681822; 519495675; 910382534; 247269379; 658103888; 798878957; 775107953; 671672820; 672451421; 349972413; 124806330; 528396773; 372005098; 612279007; 787864930; 664002059; 562251608; 60958261; 560928871; 660934128; 53976395; 21576670; 820913125; 172248379; 658537841; 278384946; 27117462; 761099682; 226440057; 365933137; 728517659; 165109077; 418207544; 460599736; 49712905; 637453334; 944289156; 160156879; 727501276; 102937410; 843375939; 547936181; 672807900; 186620365; 316375162; 39238831; 251245059; 96480966; 631355815; 901320348; 979823934; 630892660; 323439069; 910291436; 201145450; 251559498; 520531822; 719773012; 639607695; 740067248; 771437766; 988203645; 605267457; 626403557; 219166347; 501467351; 625905676; 812950168; 464569225; 665449793; 715839673; 101220427; 324586669; 821202461; 586933322; 865305405; 308800566; 164707277; 173763732; 125958629; 842726979; 173504002; 468054664; 972425841; 811900999; 580363392; 147617601; 835509798; 586268817; 255766342; 710683549; 81054839; 853371585; 779155196; 211419676; 215702924; 841940332; 523658258; 106011703; 808359275; 368833996; 611079143; 644325712; 148509006; 276750666; 974094231; 910761251; 166254048; 189980545; 747661621; 649393683; 140168362; 112606454; 417041566; 532425453; 702189896; 818229909; 36582856; 376097954; 736240669; 959936089; 35098257; 353251615; 729146668; 52502076; 496370666; 156534192; 948596251; 593148087; 130375235; 771601255; 27723479; 814112238; 197353412; 838159472; 491869831; 553427608; 738204568; 367305902; 253851119; 641950056; 606707191; 101126064; 942332598; 914747161; 976250764; 747862552; 802137931; 593659481; 455638638; 711652350; 159254369; 820734447; 609361237; 317743622; 690056596; 120541526; 318554890; 866047389; 990423498; 26552026; 459608194; 509169633; 150646280; 800851394; 221294909; 940195473; 199772394; 708237922; 580215162; 201358189; 972625651; 562590992; 898786720; 848625244; 130211626; 998588457; 276062186; 770813342; 629020424; 296020606; 765637682; 494837709; 549351307; 51202478; 746257728; 132826123; 745360694; 164045193; 753502947; 951762166; 763745617; 147003822; 566873293; 689310305; 608389808; 891266120; 61881636; 794146598; 703680901; 345562574; 94844606; 527617208; 378625152; 837775172; 459255739; 952773263; 3910784; 620019536; 728902861; 29737133; 69000193; 471047579; 683560250; 883734875; 735542594; 433980112; 862184157; 806494463; 643927846; 1260790; 957737070; 438925264; 152068574; 440734046; 366965622; 326004607; 792741555; 480258936; 187758095; 78102796; 607499604; 942737999; 150345910; 489338894; 31431213; 96526654; 913927086; 660213893; 567300418; 128020074; 487168112; 155038325; 263963376; 677042663; 26344860; 235159292; 587885849; 366422141; 544144665; 198998295; 687944977; 272309646; 1558838; 140370765; 292674599; 886424664; 440903662; 434935529; 171364745; 475351052; 950326251; 846483214; 631050117; 186579712; 873312028; 463333178; 339375413; 565769586; 117268184; 352587014; 256978061; 192857391; 872802971; 457990054; 44488193; 573256176; 83728087; 103056749; 785579001; 315428427; 868168979; 153181406; 698657314; 448655731; 867942952; 10348205; 374511484; 124739575; 752195756; 144637140; 281096310; 548446730; 841716408; 230920634; 134975068; 673712028; 87905828; 588381542; 691269327; 185416091; 398606705; 154204; 781000575; 607260521; 490345209; 591993472; 96296926; 256705569; 622251118; 990525939; 345635967; 870712667; 342817748; 966923265; 779675456; 63012805; 941504268; 154067712; 30259265; 518675449; 970905121; 933425347; 539160890; 654218086; 777678030; 27135596; 536515440; 641940479; 505428068; 137495111; 184096727; 921463563; 77530425; 87171947; 610944741; 401130695; 829957065; 712011461; 254156195; 592106433; 3178536; 909861919; 683676992; 671911192; 836376054; 291600465; 564561664; 86267478; 595213415; 739154762; 828644225; 947838610; 389031844; 697740158; 923753059; 110317989; 981756799; 425617564; 395377178; 583408252; 947426712; 425724830; 168728654; 953580474; 422961103; 755438460; 591307945; 332981709; 91903585; 605172595; 300895246; 939613098; 903238262; 639761308; 788521612; 619795476; 834117676; 268016778; 63083761; 317729661; 537958082; 917249569; 426133166; 258333276; 665295092; 492789168; 481059807; 865583773; 136579696; 576010529; 95311269; 662109983; 30159655; 415833906; 527410808; 127784161; 907309728; 20492066; 370484898; 904276; 430833131; 58156061; 440884857; 13512197; 596764219; 216277803; 915251680; 70112810; 287633300; 989541579; 861315207; 874906441; 151973011; 479738366; 593707531; 591293349; 181434296; 495686347; 590457701; 130226981; 511155165; 105362323; 115619176; 448545746; 610364315; 80535625; 605479066; 856468648; 555572550; 484893856; 125171029; 828282631; 24773241; 52260854; 270645178; 627339677; 221435210; 72539087; 537869611; 246661668; 647484866; 699982624; 365206092; 550220071; 373889871; 306383593; 947251694; 949752938; 947418133; 264335760; 579410851; 582406686; 472265691; 962600000; 371579081; 313490243; 138513687; 165377208; 205834408; 402623809; 798206125; 88959978; 56982090; 86692718; 973703419; 232437734; 342255950; 315941605; 804762126; 971189258; 874321994; 715677407; 284049032; 937082522; 807553455; 650281605; 674384241; 620330757; 982560761; 770613120; 998549460; 561243961; 206978316; 743960018; 636674591; 244374138; 354913062; 849750121; 5560236; 775851908; 951891170; 552525312; 731325023; 259997041; 649341103; 960377011; 862863567; 844587856; 499081282; 553632003; 111528312; 664470570; 433329449; 950270396; 156582835; 467344570; 821551208; 973350710; 808207976; 546381753; 304533747; 741355803; 401661311; 910541552; 301145392; 647120912; 45789386; 776339013; 367147003; 221556320; 872217147; 475358444; 179411142; 512822315; 503491767; 417096999; 358070270; 642118631; 927791154; 716250120; 218403963; 299720485; 158491193; 723273760; 409675150; 140829728; 536626499; 634305565; 906301950; 446195249; 896743248; 152971623; 253715324; 857011953; 535614701; 61738417; 231705097; 66900874; 91541353; 651221428; 850483773; 551974400; 751365263; 967786418; 952350687; 773850385; 832276273; 175710382; 479105915; 272421331; 614885263; 83890396; 642469862; 123833323; 402036882; 525178302; 359682748; 370481361; 417789550; 755528834; 427846241; 968624206; 445237634; 830368376; 724369380; 143458206; 726162354; 293792799; 371629214; 616436096; 556734964; 227344632; 403173585; 467748545; 550212781; 393533866; 451115325; 55262707; 802055255; 859575865; 816585000; 354218330; 204512506; 705463578; 612215509; 93132747; 890371178; 325539314; 505076009; 615630441; 660480699; 122975311; 889130968; 414285555; 324148357; 748688082; 590959740; 284735164; 23254324; 683581633; 253034571; 398837349; 118548164; 318088348; 803123585; 228070291; 95192170; 177746189; 612859566; 492260627; 78566336; 315961823; 557397067; 872223060; 749431839; 73620436; 141041980; 371349471; 557368137; 30577247; 120960927; 436466255; 973792644; 904100640; 863498923; 885874753; 795770248; 550714389; 82033884; 792653857; 211453518; 521111429; 380788987; 394726702; 599357063; 449599058; 843913661; 923894328; 840770108; 676040156; 337761751; 556117949; 62278243; 582806182; 53930493; 623148086; 909837281; 799999355; 874297196; 683601041; 182070728; 695985152; 926250732; 814673942; 500590932; 888021422; 984303811; 719737476; 36715831; 196811810; 575035046; 403494161; 346201556; 938769320; 804897909; 301390119; 1263384; 420122719; 429792765; 916404256; 111581760; 873140541; 950038906; 226356606; 737234919; 913603791; 348374433; 45774736; 43605369; 337694975; 663735286; 396273012; 523029091; 645052881; 9901980; 827909503; 363424956; 862248704; 763352587; 668719364; 487656899; 705948471; 36816049; 446095347; 945534157; 738815911; 604696874; 55298873; 399546161; 399965498; 550088877; 229565403; 657388262; 372691227; 509794106; 859565767; 426254757; 461473581; 143448595; 991993666; 449698783; 36297451; 307551354; 746037862; 56760110; 457741093; 467275158; 278275219; 411190092; 237528705; 913524326; 418922309; 838858325; 971669630; 864218897; 655550124; 553795312; 554222208; 667260113; 599528533; 50423070; 268646598; 594248142; 920513190; 6237994; 452349752; 991412768; 412199671; 60643934; 572047614; 66233451; 40166888; 448667264; 15419032; 702602243; 210456209; 570727861; 168207178; 262340890; 285605665; 635957969; 711011944; 692038068; 865686695; 181942335; 3121641; 604353418; 627436721; 682297836; 154939108; 81128403; 817245092; 347257060; 585119056; 607020795; 790584184; 589877500; 762381128; 27228748; 550811872; 885132123; 54374852; 88413412; 261238660; 972185056; 696056202; 378902383; 312024803; 334722898; 525460340; 572363610; 458633758; 962397979; 572762989; 342709514; 630809155; 285855471; 568232519; 909037856; 794616394; 983536228; 43496949; 557905365; 306484841; 832560073; 775740442; 881813056; 451487157; 25535871; 864757162; 842332613; 18481143; 529536438; 326361243; 589197096; 792521603; 532033640; 47389378; 873650406; 708989137; 768562210; 103823319; 65945204; 784496483; 445089304; 672162276; 404169225; 286651231; 878875149; 650505516; 253746733; 865322303; 52690969; 694002328; 427759579; 415746536; 781742531; 335424638; 430013924; 490079771; 9943360; 399062439; 886330522; 687814063; 976213110; 371372842; 214373639; 527264517; 12173787; 163384275; 546868303; 540323733; 946453458; 226237810; 300221862; 412840051; 669294402; 641936613; 292645443; 315519911; 728352526; 458226052; 546785163; 263462741; 403752629; 230281430; 687889384; 624818007; 806072861; 361930601; 408387900; 328418229; 769393599; 949767289; 754950199; 406209966; 710392146; 593523789; 728357475; 549387164; 688603670; 483819332; 417376673; 207546210; 744024663; 772600826; 483049585; 886248443; 271342650; 216252862; 991394591; 656530294; 165288336; 229045636; 256062228; 106408122; 445451532; 632815157; 34376587; 198212080; 65683699; 714932516; 562296394; 350467107; 681119163; 500661421; 942201613; 33436726; 318498939; 67704704; 772430469; 975816378; 608781556; 366532602; 140232144; 966361080; 660191024; 83634447; 640500020; 690918435; 331708301; 372438838; 565835115; 808066971; 450832573; 218217728; 164129506; 521411904; 376980265; 256192596; 507584828; 258870903; 944570800; 676599072; 258832998; 913984417; 767030274; 552320992; 647625077; 916283361; 671776634; 685255274; 843840238; 25948010; 527558374; 593422299; 747487487; 122825539; 890070207; 700248798; 95460173; 193876453; 970660701; 105032705; 509446895; 163352843; 413157125; 168637737; 478314906; 830921297; 207021512; 677862497; 740715531; 6624579; 307788152; 699906878; 559109733; 972270512; 441367423; 832030151; 660952890; 513246692; 872818602; 689747068; 56455147; 954041746; 914778521; 724112037; 255475106; 250541777; 273675771; 745664323; 109313078; 562029126; 114022457; 273834881; 23240835; 38183968; 723848753; 630001789; 4101864; 771778324; 789401154; 245822201; 482972685; 638405196; 929109489; 522489938; 256962182; 858123508; 738377667; 755198136; 453669910; 175600977; 215419491; 975388309; 1341551; 732049942; 228388576; 193950768; 779212415; 209200986; 197396478; 398819315; 570642256; 675313605; 512923638; 455802113; 751368409; 792319384; 717305022; 983090558; 81196302; 419595775; 369590119; 392057145; 225551885; 117591869; 10987196; 383340271; 432964419; 425989569; 187089116; 943909683; 14997552; 995605691; 278566694; 82083968; 555887035; 816305135; 890641557; 245274445; 807293387; 231259532; 198652027; 794125132; 975194455; 278487549; 707715256; 214745101; 690168077; 774917214; 152991753; 534900948; 810958074; 703728244; 123525040; 738863204; 66685481; 246327294; 87236325; 430163101; 318493496; 607515299; 809485072; 18415703; 145332253; 799981218; 988309539; 920810524; 580764883; 871679443; 459915359; 686331534; 165321728; 219913782; 83533550; 185509961; 926348141; 666759786; 636715482; 52262111; 660751248; 626666374; 18728321; 915280576; 32705376; 521892735; 883712957; 449411792; 617647110; 952209142; 963086177; 44147852; 168661743; 359588306; 469136284; 384452900; 887052822; 165877397; 972801305; 583042150; 817623663; 630806586; 913071020; 436023233; 773577742; 269239176; 506825173; 797471073; 425565824; 868596770; 61810602; 472328253; 207343987; 706613889; 808120019; 308556276; 462301920; 249197357; 594191044; 590255708; 275078443; 132267816; 975439899; 498830245; 815524146; 853737533; 799020191; 268883223; 616159941; 902046336; 710727747; 543802411; 296705630; 652437341; 852892329; 673803490; 247686; 56673706; 747240110; 312584270; 848628545; 772143589; 920017422; 966072022; 809240159; 61846261; 885207646; 554080908; 394269600; 235763422; 169984595; 370038207; 669818483; 154972286; 874095156; 529461364; 843883814; 326233207; 930683155; 248470639; 988953775; 64747049; 998167888; 503078230; 775109019; 170863346; 106911199; 992411058; 293989174; 816498418; 782357901; 122944638; 726658681; 322203367; 766625116; 290987939; 409187408; 361289236; 265700234; 84954305; 987115437; 875509660; 695407535; 545983262; 734854605; 26260232; 651892459; 373531196; 393156367; 385793910; 926144629; 940089174; 614626622; 422246667; 889034293; 10157176; 965305133; 581883975; 788785988; 284548600; 272184811; 58066463; 243875477; 259312663; 564849730; 920478608; 638830717; 187048267; 158272394; 670180068; 906875759; 579708997; 915136613; 506026541; 606981038; 713710218; 252223951; 937559665; 758734935; 748553001; 442900274; 701974261; 418254280; 858603366; 604774668; 145289820; 654766922; 437555790; 356495277; 79914321; 68588378; 457051902; 70511012; 736044940; 558895232; 46404403; 319273954; 315143273; 543934163; 349335410; 76277153; 978287821; 419814361; 633883644; 185978006; 226229967; 358351668; 226348145; 884917733; 461247990; 291757446; 303906649; 272725723; 361263479; 824464670; 642200502; 657355565; 48958996; 329164789; 151923716; 678265507; 475803121; 113527682; 906508381; 174862924; 200463375; 540042909; 685235858; 486276306; 539136750; 771690258; 36620006; 226525121; 100522554; 295468063; 61026113; 380704974; 62227708; 463393930; 424036891; 67605917; 916975624; 129336240; 932152680; 680110289; 628555235; 198525727; 206174520; 27346133; 424054251; 374591262; 305602197; 283387367; 449425755; 155646449; 244254216; 64199014; 798096446; 943440238; 530995282; 92045871; 381418275; 989047448; 27372176; 355370600; 279520839; 181715184; 863623389; 858314765; 48389427; 15393510; 432341180; 121917398; 620207161; 916690744; 248390926; 444214925; 548706444; 337216591; 220463718; 418488644; 730701174; 441820320; 704203526; 834603621; 460985406; 738874912; 908327294; 44640929; 212671255; 565167684; 393814042; 735288712; 721206895; 518482816; 381140941; 417664478; 807165260; 189755908; 400186575; 303259190; 69185018; 469908871; 881632243; 896067877; 549724019; 236553338; 929142368; 115036899; 324746567; 471249309; 99237378; 386588466; 737799053; 898789757; 536034271; 850726624; 696340173; 679982626; 700495545; 254139539; 506626701; 742061832; 36646263; 813532022; 267953463; 991772917; 631499621; 261717487; 948874681; 112702910; 358090968; 775308156; 790469068; 373774125; 689435158; 113845537; 944309723; 103086222; 587437792; 442505825; 955659299; 822479969; 75929908; 414705383; 881874393; 796882167; 121016121; 480429108; 683439022; 165153694; 477300320; 168437019; 928454754; 228697590; 625987462; 792553058; 543375217; 575761543; 493078687; 275735428; 934847132; 151158514; 310989741; 485921552; 835219177; 819143563; 202177779; 214149743; 93873331; 249551044; 304588686; 728550248; 419058857; 492166808; 104093084; 464246976; 67803533; 369570385; 719503273; 663796880; 435975223; 598361030; 609847853; 128919527; 761942030; 981399429; 117242577; 923181498; 55149415; 874572728; 303048462; 287943100; 998991697; 19115703; 173800483; 211059632; 189241183; 996595127; 792473146; 582352480; 911040372; 366724361; 639367351; 915483368; 95471672; 426834906; 963060060; 464101347; 68273671; 2341270; 853552608; 799688823; 871374119; 256375927; 68388439; 127954007; 959344388; 348976726; 959258807; 733111030; 265717621; 65985958; 709037003; 684260638; 300291856; 654566806; 134579059; 885238268; 780253265; 877448542; 561997523; 500194154; 684820017; 519513159; 914706809; 83437914; 170929289; 393202383; 324027501; 227735062; 850375694; 30205220; 681358596; 30410756; 237304965; 323070818; 797537448; 25616963; 632003531; 619469237; 184976183; 58537164; 112382186; 569446008; 809389126; 509179169; 267814615; 226133980; 331442730; 188321025; 111020104; 728640900; 542188253; 139839698; 450509319; 127261619; 839171984; 647038920; 484874454; 199750942; 357061765; 645847161; 7560695; 63367623; 386152488; 25348094; 697882748; 226412164; 557756335; 320851051; 426094125; 586781322; 480684615; 157268079; 51987820; 671715772; 187320255; 814937799; 730244475; 530772095; 649736669; 407348304; 805891326; 772586122; 306255918; 294921104; 696569664; 330613594; 818468268; 703868881; 574950598; 117436502; 513572463; 688949047; 186581234; 242668426; 968908492; 58691872; 416168282; 297907324; 120623060; 509176547; 507482716; 519724103; 85972711; 925203982; 158659710; 865364490; 507145484; 393922874; 733006847; 45269021; 830801459; 150396250; 616289141; 578899217; 734134024; 328702650; 901486738; 3984002; 5705505; 335620742; 855000392; 770307290; 417196881; 750493321; 971381486; 207659583; 608270963; 875266615; 102981449; 870837391; 952780965; 60328358; 966216793; 444654308; 340461478; 650901286; 617201589; 606312959; 53990111; 233465169; 772964106; 777510565; 289021480; 372706848; 4468243; 628444786; 863310035; 88591576; 591644749; 463273284; 367312598; 791848167; 741414560; 265217350; 635358523; 123654254; 317294768; 649501454; 275916638; 631786015; 946840823; 310399512; 932911978; 6134969; 678245271; 279317599; 168338749; 94673018; 732029643; 708384871; 345169628; 270469369; 529782520; 449719415; 917199830; 184020461; 697235376; 554485284; 967122452; 102779432; 106014520; 384104117; 269946290; 538913778; 307803560; 464639564; 395498010; 437344058; 986703022; 667762188; 203379052; 308661339; 658763522; 164882446; 579143770; 639969073; 875867704; 146243780; 294343177; 894153118; 123164026; 616824629; 585243236; 787645256; 406014529; 831892166; 764639558; 49795792; 709210788; 143288280; 944589913; 670451458; 636604746; 199913816; 44711982; 702901136; 154201716; 93412218; 184123785; 451533852; 799368906; 602098033; 625313942; 468300853; 907696079; 49015703; 498364241; 622175095; 883151545; 223907478; 637868163; 942719089; 615128681; 632838897; 403604492; 565165379; 716239468; 342928942; 444059621; 634646320; 818731926; 397470242; 560074853; 57669244; 657353947; 680634498; 203222375; 597496360; 712920749; 102248430; 741380638; 795476400; 554103189; 891518000; 175817158; 9768620; 166220575; 350207135; 563014487; 697126335; 468549836; 366168742; 956876988; 77989735; 16803890; 492091314; 983588322; 702807493; 798242058; 81318862; 631065966; 54338346; 326600787; 893063098; 889086426; 337999978; 402779191; 2458783; 742951499; 554344512; 271482619; 262694572; 838149233; 956610653; 86591257; 692057217; 17525753; 943735255; 395062524; 314626230; 582099639; 146244666; 646809172; 440147634; 252038220; 992018464; 901246598; 762522401; 109482209; 212162395; 811523850; 414871731; 303284289; 83065352; 749400549; 803430711; 719348245; 52087598; 657730714; 644512696; 250892956; 390838192; 99479848; 571583078; 973246908; 4221601; 463549077; 118180061; 894384427; 150331299; 42029388; 193556976; 650164029; 716808554; 291519439; 206855953; 818172063; 953712438; 600825783; 87612831; 62580812; 573101481; 194210151; 733237450; 511978659; 338943466; 455926923; 370071606; 434808346; 499904136; 1578530; 399562183; 168389909; 270328016; 519542640; 440260315; 683575708; 636335887; 999596771; 646564854; 932417922; 697126744; 78790771; 152306815; 206824842; 92857537; 284078311; 839099450; 872089334; 344332718; 957990125; 345750444; 68907; 997994529; 328067693; 197231849; 199645918; 882493255; 744858955; 199109643; 290856376; 111335178; 202902698; 874557369; 385046566; 405424801; 764338524; 47703822; 377321496; 819327790; 462801230; 657478523; 939564217; 454610966; 408545189; 564934958; 89637812; 120912072; 1397468; 28896250; 143746241; 560952254; 550611439; 424971782; 37651571; 860608225; 780839734; 514584512; 839747604; 858538136; 744362034; 342836008; 267373989; 164083168; 136206635; 54542621; 712295402; 840871325; 851807982; 210618207; 472060599; 656410677; 161504117; 172020829; 83201788; 207585381; 206603015; 455156945; 206722047; 69974517; 862025303; 317225410; 577237162; 530800748; 301477573; 974890295; 241493267; 320458531; 918989201; 27562256; 662807951; 994848492; 841821070; 847341743; 97426581; 15783323; 690064837; 235663537; 845169862; 212780495; 241237562; 749375576; 267117956; 396067730; 986884027; 94677294; 758314287; 612343787; 334176097; 978649497; 344532713; 289535441; 863771748; 780292134; 905735440; 984331374; 767835467; 484577913; 415025655; 233562732; 577436977; 631498094; 411937822; 243720234; 718281124; 348234622; 357780913; 806032090; 155982709; 797821997; 662597701; 867748821; 441022999; 627093466; 379189743; 427316988; 31447649; 928195731; 871290142; 854549495; 940310473; 777041674; 881830767; 387691683; 166935569; 815690515; 824694783; 589713099; 92969066; 504630088; 304821076; 223324520; 974525671; 218688287; 510634710; 745910286; 955522673; 632044048; 322930166; 880097970; 34515278; 711504283; 71601451; 244264714; 704987399; 188764431; 124126857; 115459332; 778999183; 239412483; 296992451; 400939645; 820803394; 510838401; 894170600; 638538004; 329849232; 993805125; 398988409; 373435678; 981191906; 123738426; 176982384; 871581404; 588446734; 233584279; 507733047; 130363082; 824197818; 896479518; 831463631; 502601821; 720694724; 874320792; 200164110; 680470011; 867493222; 435811669; 972594802; 78084604; 918420610; 981271955; 615459740; 977985162; 586062411; 592450158; 635372564; 860177535; 920199220; 23089846; 742623858; 329261313; 720541688; 662367095; 635773995; 63766187; 37625105; 345867822; 368097248; 216646791; 234222315; 173126067; 2071620; 528587467; 220441984; 327565990; 767413440; 527745509; 81060519; 153414233; 178751194; 781332765; 993186497; 950873601; 205252280; 790284397; 398784543; 642239700; 457778342; 221203745; 28567299; 104255973; 239366319; 87157699; 372515433; 356957866; 800941371; 496931239; 776772148; 218811710; 449516592; 644389522; 973904951; 682340873; 898454458; 369376634; 856666725; 117680915; 155395253; 197325335; 443504520; 297642696; 653241672; 419805916; 571509748; 251807577; 860343707; 78309712; 497395866; 3107153; 748825575; 731413961; 465235985; 255669190; 119253188; 286309266; 514654832; 403118878; 153962305; 734465926; 897969513; 876218337; 424556148; 865559186; 858128903; 816470609; 623725530; 28671387; 811622071; 340023043; 67653398; 259560838; 528559547; 302614226; 843356540; 528213414; 787376593; 624363934; 861175746; 732385330; 691425954; 452274065; 868411829; 828348924; 699045547; 239737143; 964540669; 92293279; 159939784; 379890015; 135661886; 334895896; 94000218; 609174573; 230248439; 330328849; 94842560; 339637926; 67873318; 988944887; 878506567; 19794548; 995470246; 666084354; 25579417; 551239335; 105019642; 318202489; 56476001; 259533942; 869954844; 598344990; 280861458; 478895992; 291294099; 639964119; 499907884; 953428619; 452867496; 616216540; 964507910; 360486256; 149818312; 978921988; 63549404; 880177684; 59325767; 105141560; 85447942; 45105319; 40611515; 671745231; 521846637; 445650881; 896525484; 645681992; 120681477; 845589659; 693705759; 751179002; 414504541; 404635932; 650645753; 60233135; 150991810; 153508977; 935103259; 612537078; 744874571; 315336833; 596066484; 946366709; 691265672; 249006225; 151100770; 973627096; 679801847; 779792602; 609946083; 47012720; 468385780; 878252609; 358464170; 119610670; 94491688; 297033986; 272684836; 699605465; 78903846; 45448882; 580452385; 468023517; 156289568; 300256527; 482437761; 210553345; 732433437; 475611942; 222760217; 660519680; 960968145; 743088201; 934102399; 822950111; 467904702; 955851820; 629357975; 741229226; 898602388; 349341477; 323877098; 3370871; 981589194; 362809749; 418254680; 146071819; 761196847; 530555833; 94218756; 39687439; 74610854; 700708611; 235963412; 720409100; 739320716; 139380333; 20883922; 598956445; 673946598; 577984877; 719561268; 318332982; 264908801; 830120205; 414786847; 359981680; 712490848; 782559216; 342884817; 788483469; 150667055; 515161439; 830993671; 131180703; 653233033; 199932422; 998782256; 550851713; 56702765; 889107210; 105835060; 365878083; 994724248; 701578689; 998097250; 696739399; 977726160; 589951820; 649439579; 53841862; 593943647; 641539068; 64337365; 422643129; 152695446; 770144832; 799898377; 24948396; 138520954; 852892894; 97623505; 408991769; 611441866; 528759384; 513815251; 766410895; 822196014; 472129302; 480211517; 601538422; 826405944; 5965991; 89425933; 611367626; 42250955; 304156653; 191240172; 732400231; 327439064; 900906822; 71728537; 426469625; 589779995; 192509071; 302283674; 157617849; 516696474; 678485157; 281091661; 329454561; 95268910; 644153521; 94801079; 855841794; 222102572; 334804812; 827990203; 31726390; 866361833; 58866571; 916363208; 769650200; 951277649; 299075917; 995494051; 417447917; 884690628; 46450626; 361101810; 159444281; 434850816; 713763804; 257559431; 265050242; 192719451; 871707400; 625850660; 331333056; 609134780; 803065440; 294130503; 792732845; 560797148; 905037609; 801867836; 913745298; 517538610; 11306582; 11666448; 429951744; 35232843; 313001341; 524616045; 960683793; 276379506; 321856629; 534291179; 822493383; 488501677; 580355544; 989899512; 574860184; 719093185; 879851375; 731772308; 516089241; 772815674; 185736545; 208002740; 837692494; 796014127; 932552741; 729162581; 109205588; 518288738; 400827588; 893633517; 320080539; 582645896; 371475886; 422654542; 482153896; 331995211; 103757570; 424415355; 301025149; 750063904; 166319671; 667304843; 816573121; 58614808; 294025297; 829954656; 551841013; 113440689; 98135134; 128442058; 71580984; 168569526; 115651252; 134326576; 381249905; 123220264; 140430226; 303237503; 824129782; 341293914; 152899672; 76031228; 448212723; 665643043; 264824205; 741073356; 895049321; 871199102; 998934237; 995097557; 129637324; 984643534; 775932383; 152039893; 825483102; 860267048; 490333641; 21540183; 343160933; 936014042; 201599371; 950713498; 488990359; 332827180; 866462513; 897289942; 568656003; 737351142; 800828306; 96500538; 61945808; 594716179; 782642897; 627804663; 710504208; 584172822; 256010072; 27171885; 725391444; 728620645; 675682741; 922224046; 555625819; 786157190; 178274876; 591567902; 834799983; 797605070; 912854415; 468355615; 587849032; 141148822; 949111403; 64487515; 330851688; 703273305; 795845490; 949830945; 636592816; 576956323; 913065648; 53300688; 828014535; 628294855; 776258188; 471283132; 175228700; 427002246; 357022566; 86826134; 750971578; 752503690; 747879904; 729587557; 57194809; 148114144; 705564294; 780724888; 44658409; 376553807; 351010051; 827314634; 223014764; 972283383; 444532966; 824418069; 88457936; 872443682; 114913775; 83977637; 764653092; 231165011; 20608681; 177179856; 267600585; 267258902; 626287775; 708405250; 817412727; 382852014; 420678103; 339265904; 943198643; 611435473; 530885073; 868538150; 15034382; 729507749; 951349260; 317900535; 51617915; 907449103; 928113628; 528236094; 283684244; 756989197; 677110172; 842528857; 889744181; 594318087; 726488815; 862874197; 489493965; 489405934; 67316597; 98866000; 285109940; 361527616; 400488779; 806982986; 356298196; 376818697; 843921425; 921633233; 836106511; 934971888; 752868871; 264423151; 693592679; 138937614; 502928325; 963975450; 33086503; 182449377; 774308940; 883844529; 589414649; 487075898; 548397798; 252721690; 450578829; 670608699; 173629403; 191237173; 669250687; 532737872; 516603373; 753751091; 677944924; 221484645; 112892554; 547682133; 966889915; 92134416; 322828514; 188733628; 988471745; 584157224; 248507846; 760369427; 726614340; 168240441; 123065783; 300883366; 139284667; 14223461; 698713370; 835325969; 82504760; 830603341; 273654735; 164417465; 769240417; 577140326; 202966501; 753934918; 140700605; 429454516; 741922316; 432134883; 320797171; 175764515; 506445799; 402213870; 896134005; 656069329; 549232042; 45606345; 71531685; 226150096; 960447635; 349492954; 946423836; 170700562; 553412817; 697965710; 275628366; 333726328; 614147994; 497438148; 410207591; 142940450; 603738661; 13058948; 817686875; 407495698; 346128302; 264338939; 888092064; 932054891; 603764741; 528540693; 356277685; 251656572; 618356585; 967637438; 247402217; 849212558; 349216835; 554656824; 541840395; 195022282; 672612999; 623597166; 336349675; 285410162; 942418666; 915617831; 70493441; 982780213; 655809856; 493168926; 43931639; 537368858; 685667438; 351755460; 211006045; 539548235; 691901067; 55877949; 673336879; 780073805; 433563414; 624941405; 769235186; 141023366; 446281745; 857415853; 574153216; 949938974; 742026155; 975112426; 196065775; 261011361; 755281867; 928212881; 388180840; 678268799; 502221460; 412393671; 95127732; 31814485; 182618077; 347339558; 761042505; 573728198; 593378980; 434016377; 556261263; 694166949; 190858242; 727246081; 172554208; 372745953; 90342500; 940558536; 918136389; 229006550; 692583747; 142118027; 904519239; 619156448; 592324657; 832848281; 210934199; 128334353; 63168295; 298310796; 761136679; 91230637; 53501624; 946698290; 217902075; 306020741; 565770264; 577575477; 897944639; 456642087; 338732458; 947033887; 449146166; 126142435; 22221990; 921990494; 258822261; 622657386; 643422912; 807370080; 522211941; 303364678; 417068326; 423294127; 629851895; 95038696; 794001714; 219637; 31008864; 134397553; 318956349; 268122997; 544785274; 312883401; 805836641; 514963266; 136136417; 322746437; 441113787; 823098437; 568681696; 804967323; 812299290; 143847954; 531427634; 553142495; 9459599; 241792518; 40585455; 496989631; 926704891; 9822542; 64754155; 822874185; 595045929; 319539296; 709488235; 884197732; 738723580; 475067370; 287698433; 808544423; 87884813; 596286810; 642756151; 554722445; 2779158; 218717735; 47228779; 972389851; 285158769; 476159527; 397943531; 523867996; 470831300; 283735772; 15848437; 667473104; 410508651; 69400047; 126264693; 809778158; 303060091; 631120722; 733608557; 798846594; 655257041; 773116415; 124383577; 344293351; 904901004; 56600756; 299740642; 615358537; 856973810; 75235638; 352503810; 115082218; 146339258; 254524457; 470189527; 268326922; 293783467; 718481027; 564772932; 63126580; 468300839; 6633465; 490367776; 415715401; 69765036; 150012818; 454308105; 575839271; 467482441; 211098170; 893693939; 119992600; 198534530; 711993977; 902632498; 129365800; 620292065; 581547336; 371526047; 85976173; 73713517; 78560297; 346978601; 894652122; 281440884; 630950779; 755801081; 668858972; 865477231; 587203476; 303366998; 811551394; 61659372; 287162279; 877457710; 722568882; 948636325; 53564515; 467661123; 828566169; 411419545; 486433131; 951208570; 43124601; 794505997; 489742510; 804884823; 496114816; 311906294; 9576813; 194314961; 517559527; 701904527; 883613989; 112829514; 717714656; 318652662; 278820780; 191625563; 783270433; 736548973; 562367511; 569749347; 227848464; 395119015; 420756645; 412714517; 644467195; 576469676; 184266146; 95941775; 567418534; 652941148; 14065729; 873606470; 61674248; 654846992; 320056500; 68495554; 150754609; 547746910; 492669687; 40560917; 582063822; 998873529; 910233424; 920299036; 956180933; 747324718; 513983214; 948699255; 415911326; 887714907; 399666852; 262209895; 137511767; 21208737; 4210592; 630028752; 955730276; 388998258; 635081035; 762499544; 582570370; 849637818; 354632333; 842977837; 848076687; 316064094; 686820993; 33759547; 228876521; 778579829; 997985999; 196216182; 198146581; 984510375; 852295143; 350541383; 387254037; 588995288; 86947537; 394365331; 37874217; 725843917; 237799100; 267591845; 617533426; 931253701; 506931874; 394113497; 920463756; 829137669; 543907280; 374341917; 965190496; 182471688; 716243882; 944548529; 400093572; 656860457; 159490958; 414433658; 1133657; 771175763; 954898280; 648763463; 108282510; 870034242; 194642228; 591411907; 360162705; 795994594; 721490235; 260268071; 725641022; 80553166; 25847589; 574976269; 17136731; 954794822; 8465676; 475056644; 302649761; 366454725; 591774324; 114862902; 263279541; 244898666; 361204725; 944713531; 100888005; 214329173; 612593548; 521593601; 956642071; 533104985; 283999536; 343045808; 503727083; 814164924; 524022532; 161235165; 11798242; 44426795; 701663488; 370962338; 638459874; 492856060; 838674304; 812038642; 55502718; 240080629; 652013645; 451130556; 665005986; 547826364; 69724787; 603978111; 150045688; 473450658; 950041346; 962759669; 192453746; 534437591; 545862325; 54804488; 757185229; 485566262; 642607902; 464674466; 147738764; 42068905; 300824919; 151519516; 996504159; 694330035; 897147263; 488329747; 805576373; 482721717; 606210396; 428908346; 355132124; 257022813; 662623421; 875381851; 244292817; 917456975; 718227056; 529976905; 761286582; 384366749; 581305999; 748677229; 100648155; 735620290; 553535127; 23160075; 454131603; 456290676; 374210151; 534624394; 809741368; 503636351; 864984530; 857384664; 110950737; 217686264; 241262217; 455933334; 439397140; 695086678; 900585424; 419653073; 496746247; 764354511; 617824397; 115785168; 447042137; 738205803; 530945607; 400830511; 875289412; 478543662; 373509604; 7672992; 246206958; 100028727; 209074313; 101382148; 78419105; 703193780; 968533612; 111944858; 448566225; 776521228; 38827038; 354604231; 310912124; 826430618; 484923211; 570647226; 745846639; 633507417; 983540307; 52117726; 165372006; 5775868; 134944571; 642328868; 941041311; 134960166; 940278931; 749347680; 152168028; 110984637; 598991297; 905839151; 779311459; 896963765; 4282197; 191336787; 269129671; 592492463; 954936531; 635168074; 612409117; 358324670; 33578788; 854618250; 747053158; 265920331; 280301242; 289853830; 413724106; 188826467; 880353526; 373097002; 614778318; 778827379; 659981504; 182396473; 717899527; 842626294; 369947426; 140034790; 283128122; 344448421; 688616258; 152415190; 368847622; 652677586; 281153275; 837251103; 659045755; 569329682; 429278987; 1937114; 184548951; 382714166; 699350214; 833387479; 453922239; 472901197; 706434259; 10495759; 474278570; 52246564; 795643674; 804915740; 361127791; 115215691; 3659034; 828203175; 885067979; 503459643; 603548659; 731404805; 302215672; 629501643; 547490664; 681029574; 223672637; 198429442; 987594348; 780921858; 33238126; 70882342; 28960598; 648602541; 286610183; 840856646; 237257814; 29741226; 519370401; 142946131; 715272061; 438169917; 68560476; 293986268; 911004525; 402964136; 659897726; 569516052; 596755939; 437859971; 239105066; 458501178; 743391695; 76354951; 672207912; 974431681; 464181423; 147066931; 848452465; 470922437; 659651420; 204842960; 518133525; 935672977; 15065899; 816346509; 789754234; 450282096; 20470941; 740578332; 298747023; 712798324; 382640065; 415431159; 324319080; 529754781; 95394586; 190017515; 912035468; 936131239; 680381125; 706296747; 697084209; 836346002; 971856503; 123851213; 175528082; 60801199; 457623982; 365232791; 610893375; 23826318; 705936275; 297049962; 909850050; 452714550; 916202701; 251705112; 790817448; 401410453; 529136746; 599232551; 704276247; 714104136; 422648499; 309706145; 608901045; 367096940; 892327671; 764897778; 228697170; 360421136; 486239854; 808690388; 731491589; 137614323; 533589587; 357539280; 394853151; 759705304; 32986699; 873239439; 126853231; 991454255; 95857925; 792929905; 862692323; 155476384; 985639271; 68435055; 969455727; 487342747; 230453217; 422524699; 607980322; 143061150; 718791669; 201023791; 569043225; 756178920; 88431838; 964198974; 321569686; 968812864; 941890734; 163057106; 454965134; 641361341; 227345038; 354460082; 709819714; 222731518; 832815951; 619780665; 699169121; 219023076; 361645020; 643363697; 766594352; 689353822; 25366558; 441616564; 906392129; 183330636; 479784953; 130806224; 437021985; 964564269; 120580864; 167622785; 761534006; 226720790; 442433093; 661978919; 337614030; 399867004; 205678868; 391467624; 675966443; 658882310; 589196965; 905733; 396088188; 919768945; 211762684; 867984958; 772392522; 242953552; 503705591; 616618325; 887244535; 264527228; 627215691; 268067873; 394370004; 714709657; 860538255; 470087594; 29122963; 733404065; 855207245; 588718411; 926776356; 382731419; 803974120; 830021928; 493718260; 932561944; 954116526; 370174112; 550630790; 925257379; 398457061; 26234442; 123648414; 731936633; 329938704; 432349310; 112057391; 489851845; 91275071; 60051596; 247216770; 297912447; 135652529; 869555488; 163554468; 682523289; 626339069; 620024533; 638860030; 525539335; 104397441; 44907547; 560383259; 538643650; 770193228; 421007130; 102030749; 51062469; 456874056; 40340720; 566975712; 592700677; 20994768; 971951699; 801224666; 892946094; 701127980; 970526791; 130981692; 406238794; 125611834; 520466253; 757168217; 839970955; 112422811; 937290285; 465541821; 155842166; 349222602; 3220927; 10054001; 140232670; 152722708; 838448122; 751930641; 49564261; 127942543; 853753919; 504541501; 23599843; 450562268; 458043077; 234790446; 287564331; 175840019; 531268895; 469574412; 809411734; 223960322; 267875077; 748105675; 327666555; 418161294; 966247641; 256488127; 576054959; 772787653; 783983961; 378629609; 960047300; 392476366; 932461177; 796796230; 453472823; 102688653; 370008857; 807312098; 543768454; 490931575; 772721807; 317837000; 652611084; 829044480; 740554289; 57236664; 438478706; 442963180; 839103640; 423026026; 975697732; 709150590; 138371458; 132007616; 654274111; 702687230; 987729992; 290086818; 496073391; 350577862; 986085278; 412829401; 891902960; 728976629; 93786959; 480675727; 961010631; 524213546; 105786276; 309969094; 675935740; 672996396; 88508491; 62667275; 232848785; 342476201; 445190547; 596047024; 219420736; 297190484; 386066145; 645430525; 851345879; 730792331; 603379070; 529387594; 86684583; 715110599; 937648075; 565471845; 864475769; 347386294; 703453078; 704594433; 404707610; 697299398; 838907644; 265789536; 191673419; 218721085; 562130375; 642817703; 793708851; 314465899; 392693108; 289083822; 247862464; 901650367; 254481091; 164175357; 616082678; 204875023; 548526858; 824321192; 667884015; 570298097; 119079989; 426905998; 176878247; 359361120; 189325478; 6878874; 624000141; 118733127; 727540637; 492024715; 278843100; 678556790; 365137696; 615515746; 693916281; 116252489; 692473908; 436913683; 575652790; 941932312; 207692389; 53285816; 688945837; 982714410; 271796105; 830735764; 648412282; 250903187; 831908222; 357191174; 49310981; 954310834; 52108506; 872961349; 33324033; 789036529; 526561389; 29670325; 632436692; 878700696; 147059711; 535970737; 266589239; 831254457; 602574447; 806757038; 639700664; 69907060; 468382280; 453122403; 132288748; 29105443; 338314891; 628393012; 901686238; 784377188; 100570552; 610189182; 430972347; 861731829; 658126804; 980400247; 546581738; 908287644; 658940109; 386357455; 411150701; 231618444; 661489681; 970601893; 667085880; 524724372; 810913997; 563686675; 203601584; 120633776; 805026761; 558720445; 864665729; 427431188; 922187669; 661693117; 201429177; 889821157; 931000381; 632507316; 69329096; 997956290; 466029771; 63699567; 35034940; 423349924; 99624454; 139071617; 416895479; 185402925; 894324790; 136194422; 338685815; 857809596; 659240085; 95335519; 433286985; 347115737; 999106925; 855941696; 367215628; 293295819; 298963181; 778810963; 573089352; 970619900; 816635811; 281601799; 394834303; 555777164; 109927505; 97724979; 866206780; 907187972; 389337332; 474535122; 277084950; 959474109; 721761588; 164702149; 800445289; 290702744; 695973477; 449931174; 95643240; 772415936; 813820160; 957781385; 242240273; 112522169; 884455510; 993321311; 39795590; 149671289; 294133110; 947000117; 676117910; 657735818; 331402061; 36948144; 887703781; 608279358; 966428039; 20701351; 52542442; 842539891; 593601247; 636541334; 723032402; 947120076; 474925260; 301020493; 274564763; 541685835; 823641499; 497184504; 219768064; 85515020; 559231929; 518269849; 509268664; 567646171; 781124565; 757331478; 800909006; 387308409; 318239624; 785295799; 129574641; 484317987; 530026576; 669413867; 285812755; 842786585; 105008725; 388856408; 354423872; 933367852; 568619890; 432008061; 107277729; 62540403; 717610896; 200272092; 367271670; 530939253; 875652406; 120878733; 171414619; 672178448; 312564906; 781909090; 330132873; 960441181; 208956082; 138966619; 695759545; 491780377; 175834485; 922150690; 674387961; 759811736; 613385073; 38338809; 625477122; 686819443; 300896012; 966998277; 782173044; 804873256; 237465721; 460661085; 686025481; 907903644; 371320905; 325462464; 649781438; 112005930; 303600462; 795469145; 66217737; 561108682; 870192785; 819196033; 266068207; 794062450; 555083808; 545661654; 682637105; 979593736; 379620528; 196755378; 253724380; 819565264; 326976332; 355735355; 471721333; 402298661; 675198106; 243027719; 622363488; 326616790; 574204079; 140618438; 640066821; 403362363; 350068111; 376703477; 610718222; 527006658; 982042598; 150158756; 108375069; 620829874; 956632682; 234044081; 972564362; 448918582; 401740556; 347301825; 962301343; 621662735; 433703259; 540042530; 168082820; 572623933; 303334385; 785167053; 42924731; 174666671; 995706698; 417450989; 950130297; 642052011; 406872128; 424214957; 366556661; 69574083; 25129815; 848261659; 118751441; 286325278; 315799630; 336618553; 313018489; 284212089; 132612650; 855062558; 180634887; 628077339; 848213984; 653218421; 75910787; 110468337; 696378126; 367146327; 99432321; 205334279; 778383678; 780275519; 865482323; 961420622; 465121525; 841010558; 359935239; 574182188; 934169253; 16010236; 423399674; 225236538; 196592483; 287534722; 112239001; 842869156; 160108472; 222383377; 727296912; 205079554; 94492128; 371827163; 268386225; 268180249; 761197952; 906237738; 635121138; 10269875; 97885476; 451404423; 450642449; 383977952; 187141740; 837252430; 24575693; 896151168; 262739269; 206000686; 317293327; 273856737; 993033791; 159801720; 33657334; 630165423; 731909319; 224567786; 392270465; 47647798; 239892797; 709632602; 205625974; 490068683; 859456672; 880770659; 420305433; 673332038; 96917693; 793673224; 743588899; 280262453; 281982897; 850715526; 12004626; 259523749; 427375317; 796845692; 595169865; 395898449; 469756066; 577620256; 485891404; 605200077; 733177340; 555808747; 330965340; 548131477; 590938568; 544604312; 660166928; 140285880; 60953882; 751856114; 996918242; 445216051; 298328478; 144501400; 441944593; 718209605; 908966979; 839703924; 528194701; 709884883; 610284515; 115247912; 257248906; 462729124; 627231771; 633321558; 229348978; 771555959; 456619655; 77549645; 582044302; 439124494; 167071770; 679736238; 882106808; 64734308; 533294118; 722092405; 541160376; 703632646; 48701150; 372328693; 993184002; 680391953; 489764894; 165009951; 969111854; 856849763; 204636472; 228411938; 118342664; 813410269; 998104264; 354246516; 963104919; 496518901; 653532428; 105712215; 335385511; 285794185; 954592489; 793551527; 798988335; 217626587; 602888702; 295637374; 396148892; 474750642; 826485485; 196684406; 332184133; 930592752; 250384371; 714610663; 361268909; 370678984; 142676247; 538220894; 46107117; 142432983; 971531768; 548439584; 214668513; 326016672; 5027246; 58431796; 547222747; 658868972; 605393445; 724158548; 940403317; 474635136; 149312970; 334507321; 627143110; 257335009; 634717859; 649569138; 69244685; 804003568; 675931402; 934806865; 368721781; 186518658; 462505082; 35294739; 227398121; 691888775; 762626198; 734504209; 874609055; 311254525; 114223945; 873304858; 341075070; 79497601; 331643330; 178552676; 298246201; 866419667; 188008153; 942825192; 933414426; 455674908; 182017047; 627627334; 597549539; 28355614; 222898578; 73833485; 964952915; 901689015; 373754801; 825118661; 391637783; 472585219; 780253683; 367924946; 376270106; 474644709; 302369796; 271004407; 28172173; 966664699; 203252657; 946919434; 727971588; 2245589; 760546598; 887777704; 737009565; 916625350; 414087101; 529949093; 543596565; 543299444; 145769779; 480783324; 449184693; 291742723; 658366796; 889398709; 363094617; 288562274; 821630406; 259855167; 512752487; 562945598; 338102200; 644232214; 256946394; 633996642; 525370661; 33172455; 908526909; 174608876; 554068394; 985509835; 940619444; 555187999; 908173027; 974159985; 114976058; 26443441; 403979630; 633352508; 466910688; 931542954; 401222492; 453466288; 214049533; 508247630; 278634399; 349822103; 781029547; 645177876; 414023679; 512839350; 169484490; 412149050; 33824288; 957852286; 529646199; 741507457; 503232578; 772065963; 892264370; 8947406; 82697908; 137668095; 2852904; 849592349; 497435310; 98461172; 771829780; 25960744; 886156581; 473566121; 86689860; 129748377; 510853179; 333874183; 523567712; 10314556; 249795431; 411596729; 598480288; 565206805; 569361279; 159499535; 953174609; 230051657; 919333609; 980647090; 996174497; 30394299; 874666227; 409061092; 442528317; 222590525; 583155077; 519457494; 414201369; 144943668; 124539816; 693051880; 776940082; 90303098; 721757588; 758471085; 953407680; 655544558; 591510798; 495513662; 965452220; 15022080; 995166582; 386301220; 137638326; 848855324; 297344879; 913451145; 73784982; 622117731; 844353260; 802726226; 724889948; 994568335; 21152400; 17472044; 563147320; 713374492; 56167206; 278488908; 846876624; 200274917; 209304271; 157474056; 407756049; 138225539; 606388947; 765525192; 471240380; 735749073; 49073890; 814041990; 134778986; 29976989; 307696311; 174417053; 4839077; 186591490; 734185409; 331483083; 618665147; 463022931; 38212157; 815941539; 559552845; 901697239; 959625709; 856423847; 573792099; 65699896; 773085021; 559819778; 389558730; 694547450; 563694396; 911950213; 723437554; 455617952; 556237108; 677131646; 470655810; 624128788; 362291335; 696337115; 4319286; 789831112; 102360593; 223649622; 409803996; 558711791; 56313319; 410440565; 93939562; 102416715; 91513326; 645374271; 22180918; 689868287; 995958262; 6453145; 225764248; 214270274; 35276945; 609303617; 77888362; 333135070; 747762253; 647703331; 632389298; 170587820; 692361252; 897138775; 756090830; 331208404; 186919925; 556365840; 849857942; 255200726; 518401486; 301867575; 246097724; 751026341; 536360098; 682935868; 798560937; 975189162; 514378573; 948399580; 400230170; 413560152; 79488268; 972784242; 769498350; 532179632; 602424392; 418426470; 3539060; 796967963; 934763581; 275346060; 723301022; 400699809; 71084551; 200205405; 137861415; 814698844; 476044897; 809347015; 957956574; 198823302; 656999627; 74644300; 802791591; 308037515; 7838495; 440891184; 693637365; 336530274; 842141879; 992338849; 186723046; 305209539; 945697929; 829742248; 716065220; 942983692; 873737553; 523012920; 757172731; 483806324; 556125032; 156508460; 275882759; 92293762; 83140028; 512570852; 544312639; 366360895; 381259836; 326975252; 765643759; 160095817; 825065592; 411661040; 249357137; 13081433; 958857723; 278251918; 513657861; 355571752; 670087476; 767003174; 944772127; 650837151; 427049776; 6619270; 367353703; 203376636; 306317891; 1574219; 194480963; 391327587; 379779312; 357023064; 619151102; 480493038; 453933779; 872691126; 258914608; 510306916; 278337386; 23404686; 121827592; 135583285; 980893634; 157769699; 418583658; 584220539; 384049183; 780467381; 23088271; 142547309; 625239537; 400576925; 421391225; 832463617; 738255232; 338180208; 96750050; 505806364; 138045954; 724381888; 759023841; 391598403; 949450267; 925061045; 198710580; 35870525; 972157244; 549759582; 476126217; 236440135; 306202374; 408247920; 20939764; 891880006; 85821610; 167697328; 90917284; 16647091; 499023241; 959309921; 874561970; 586743098; 23183194; 69851155; 467452296; 920179680; 204184571; 227619017; 534506631; 920786040; 408800887; 960641257; 202759317; 3129482; 663625693; 105683528; 356559967; 503308842; 592084717; 384391931; 834658799; 686625514; 993911238; 4233577; 727602095; 79724211; 297573747; 750082793; 353127545; 785414509; 704275364; 453402488; 764475194; 314395510; 132506997; 679707030; 2950757; 54287386; 390671123; 803092079; 744228693; 54910483; 610261248; 654656278; 946609052; 948600754; 303497517; 440393258; 414574996; 872516198; 295756031; 556242573; 371977098; 409970020; 831284447; 624923900; 985975119; 657000350; 796809078; 405275155; 465150582; 925259853; 776413105; 132161166; 945356898; 487769231; 319719393; 845229347; 278275799; 21878817; 465584490; 501143136; 152082008; 342771820; 692209063; 550910239; 500222992; 784666242; 374432757; 509711513; 442923378; 918791562; 88026796; 479999925; 478565631; 85945059; 607229273; 128544788; 873542187; 679833668; 459319239; 4378744; 279392415; 775426119; 177595002; 692491534; 806815161; 241097352; 971362104; 730695694; 533299300; 231383625; 794615852; 719016719; 629581107; 544245684; 358444154; 884382902; 466027572; 232896593; 164010543; 13089982; 599077283; 136229046; 879380041; 978578789; 170503282; 30526736; 311532317; 248611557; 996066247; 578720273; 665493614; 359299262; 667127102; 320009341; 740395305; 323713355; 372467819; 726534637; 148788761; 571880045; 470002833; 991285981; 162672294; 972359392; 53631243; 203525839; 834129429; 852402115; 813756719; 565099541; 223767809; 283135344; 783266576; 467115260; 92156013; 774134729; 90286569; 91752391; 325434656; 484201252; 502661200; 17963587; 587933611; 888943045; 202774448; 824163467; 661529510; 549969382; 388459458; 345468161; 164820672; 638102815; 654074007; 802434037; 838786049; 364745838; 183574684; 518836746; 776583100; 228810515; 563149365; 798231663; 288791524; 642483371; 104014997; 381243014; 705741351; 584985482; 25108804; 624863431; 825762092; 137499178; 468554989; 414395460; 515457067; 122206856; 784448513; 728539177; 295306060; 363859037; 236602550; 916139484; 135773389; 650975135; 786595446; 124381352; 907260046; 689215354; 858907925; 891476390; 898027518; 983683609; 606353435; 174243341; 102706622; 33331912; 295971422; 555725421; 257668599; 436994948; 491531244; 122398437; 127854539; 598291067; 152537069; 980037062; 610593887; 713551254; 992369022; 261403728; 768756430; 910664220; 716041643; 13661757; 466234970; 308704361; 286923188; 284633760; 818062871; 99180722; 37386448; 195620096; 567629247; 819093708; 668981645; 801552231; 284397150; 797421926; 941901552; 419296890; 197966811; 600660709; 67181366; 648253750; 670205920; 250078349; 80915482; 233085261; 384719762; 651049756; 614290614; 224673359; 82979171; 29575154; 141321246; 993798013; 24148588; 684954283; 579900668; 130733510; 321554542; 618220794; 92615640; 618773241; 88538172; 457328573; 291268588; 917444124; 48660565; 988973394; 370910908; 926283363; 253763461; 111479641; 338282730; 895663909; 312971088; 26802; 625826831; 251084935; 134430103; 450886215; 732464229; 944456318; 214377588; 792241372; 10195169; 434024977; 889394168; 959038815; 493498430; 159745882; 187006341; 832341418; 295586460; 447514348; 663361772; 684314717; 544418033; 268355279; 465353559; 310855020; 787686898; 717205173; 265020649; 265354895; 455483542; 223868546; 54040567; 759652627; 210444407; 201354157; 100774243; 950337243; 333931640; 62284682; 792180099; 975101318; 339204695; 369560710; 601305149; 138113119; 600665541; 420811890; 666523098; 102407005; 902331856; 833403447; 807673980; 531414141; 97647738; 686497289; 337605276; 3300163; 631877637; 139439707; 393694606; 99315224; 758208580; 250984328; 803269462; 595276078; 451522512; 514540661; 579881401; 337902242; 556887527; 453280464; 472095347; 106214487; 276030758; 806314708; 922010400; 481683855; 730166131; 404054580; 892682360; 370564146; 809637049; 345209813; 858425314; 657326976; 116948054; 176797671; 251918468; 342004658; 231406095; 331364575; 816159566; 290262053; 956496110; 127412590; 471176664; 822506870; 43834425; 310456497; 504823090; 546240870; 351208080; 947681731; 754246139; 119057926; 668268388; 584597641; 988090613; 662140513; 359528532; 227476437; 133257393; 495041862; 266905265; 301026194; 947678438; 257662721; 982073974; 295894169; 868148526; 472823335; 869859722; 625124031; 801839136; 106286369; 149793645; 143872614; 108376176; 867941587; 394752399; 296892083; 138559861; 122262037; 593001734; 168734801; 403268192; 758112454; 561077742; 390606545; 986669232; 73370146; 573465117; 768191714; 888590742; 328220577; 168111959; 765989875; 339660218; 904441032; 122691831; 949037364; 227891367; 783567634; 13892948; 327691837; 784244859; 12815698; 863503987; 466393187; 346145548; 189597770; 495948258; 303367441; 233534124; 966071524; 810083228; 754757336; 54611188; 244848272; 521553738; 827454909; 242223845; 297953298; 621936864; 221192911; 318038105; 872029634; 359305896; 404101629; 634749021; 688597408; 70412030; 712712142; 774793097; 268511917; 550139353; 372592064; 635103994; 865727217; 349983406; 808193263; 772684515; 58944972; 865841330; 471911518; 361147468; 868763358; 388469449; 615269031; 885875666; 213289918; 117169359; 277096870; 545184653; 182775700; 107907808; 443568105; 272949977; 270747017; 355312362; 471897144; 666390772; 273942938; 800690995; 466265555; 348609147; 322974393; 747861409; 103344933; 660685071; 904261827; 918037482; 596757481; 79950356; 362780382; 992067425; 717369502; 900405206; 663468374; 278080927; 517587678; 468955754; 447455789; 885275224; 593299556; 638006671; 51050550; 36377101; 495761980; 372314190; 724540660; 141606417; 922875376; 955449348; 76270425; 321658324; 967025527; 584385402; 253571850; 608759072; 897395378; 725180150; 184505949; 775218817; 305677702; 4249027; 119941715; 356379691; 353495162; 425620857; 999006031; 942800208; 896273841; 148828740; 946058667; 548405301; 384402566; 140651797; 339696053; 946172680; 314794629; 220722210; 402506901; 283906492; 780616666; 869936848; 772997994; 629147349; 296655722; 243536409; 819533180; 266234875; 226489337; 839776144; 693017088; 609817284; 315111464; 884664545; 155353037; 310877300; 54680380; 196773358; 556774326; 984740972; 758431238; 560064538; 772181737; 754645810; 859373576; 233027191; 959695229; 981614352; 263009133; 779963901; 256483823; 158677668; 821822801; 719531110; 947140072; 320394444; 944087041; 819255565; 112474578; 405704144; 78412140; 938909254; 516732926; 171326552; 974408022; 527904500; 696379985; 522391966; 424719125; 289937346; 730673738; 319431875; 586858522; 382900841; 989907670; 56152252; 545913740; 325102629; 224137763; 715427767; 410920728; 144374780; 265078724; 154050584; 722178525; 165020842; 345503463; 467229867; 254185388; 988900710; 255605861; 469533240; 956735214; 403077779; 456081089; 455794876; 260481917; 577925696; 332012544; 838022769; 500049551; 774286573; 475862096; 276106977; 358111800; 676246962; 654203067; 437049944; 12343988; 222032039; 870712925; 407377266; 445994122; 5642683; 838407745; 90643359; 280419648; 478947794; 88880796; 829822973; 353748394; 550935646; 928319945; 503834001; 33974940; 505590641; 554543757; 828240673; 696791165; 730512859; 950348201; 658043834; 359181896; 931219992; 275312372; 151770524; 103768511; 448183007; 216760426; 984856591; 352680696; 371634069; 752356780; 334591065; 295883632; 241791724; 925049392; 917605542; 683416392; 850228974; 703119618; 371370292; 417555927; 976414893; 6472918; 195166222; 330715471; 699646676; 817281196; 252278408; 477550153; 461256178; 852412563; 902199106; 935934061; 575260093; 35434871; 953915916; 253138290; 472056404; 313837256; 72522519; 796715584; 58964419; 111494638; 485520295; 105894144; 54586550; 434508842; 502390445; 620593083; 975672477; 559517397; 609179108; 381114569; 973594239; 725484197; 363313997; 79883418; 611684850; 357585828; 447136560; 264400872; 954723997; 790610302; 439964188; 965284268; 938234570; 914516363; 394196949; 215962244; 844699301; 131243425; 91110073; 350129940; 277181735; 590367044; 888674790; 485662094; 703094325; 796067001; 998124898; 772924450; 630491161; 156117716; 75823054; 439437286; 887856852; 605806396; 479044049; 302009688; 555824465; 40572426; 489316764; 755690364; 539470819; 80812225; 852597923; 852018563; 207989195; 183121247; 574248282; 400263922; 435233398; 824490208; 936536038; 747692871; 747906712; 271034753; 879750480; 669375186; 119591854; 601984589; 496812852; 326789969; 949256616; 687254448; 795797134; 474455365; 767467938; 233133495; 619067151; 887235075; 141798306; 750546489; 142636726; 774935494; 979394862; 79437563; 804039136; 408399476; 888838413; 887271389; 906435468; 410549220; 367148067; 413976139; 58221986; 232380209; 452369661; 526912077; 519022527; 882351753; 376551583; 721360600; 747371498; 584547196; 961394834; 771346663; 362818828; 339986708; 495936294; 385771104; 879230702; 12020449; 945487270; 464708101; 595951949; 656603673; 287565064; 326525678; 482604859; 250785428; 636034396; 404194865; 990190974; 986600513; 419457408; 199323530; 748779030; 126144563; 241888055; 773980032; 114079140; 929741969; 89693477; 569469818; 415866137; 740816017; 944457991; 874613185; 849528284; 512865830; 294796116; 23133401; 884947423; 362148252; 735407733; 612559768; 744346524; 372511214; 181228619; 810877410; 245586023; 488665387; 237835358; 432038671; 539149179; 497815533; 268915788; 971576576; 579362576; 301064230; 290176860; 917033266; 29462485; 388234197; 72191565; 440941601; 515626844; 936297964; 103111143; 51079081; 364754912; 525723310; 88979747; 552616985; 917621957; 266733375; 305434047; 136070240; 489539969; 642850763; 872367951; 686086960; 828421532; 365331063; 102483794; 396206422; 33486691; 332187138; 83007141; 682193845; 552803748; 705754424; 507223092; 720940783; 477006305; 809845547; 777064072; 577252368; 54622512; 224781675; 267060696; 99281235; 498912793; 18627661; 262626234; 456567614; 927211208; 378717932; 848699014; 582444389; 628876469; 707145107; 248622053; 388768778; 406682354; 642143062; 999840032; 576634783; 12264605; 639221186; 355541179; 282648908; 116899253; 753101205; 996055470; 162668930; 385589386; 712253667; 546639391; 641644389; 777408898; 380435078; 353768552; 775343338; 222060269; 940450664; 737215033; 969157217; 84916151; 283949064; 60154463; 417277305; 273246735; 734961966; 621382468; 618688373; 170397794; 712492837; 122209589; 766832737; 886727592; 611655309; 215534548; 905816354; 28142860; 672737754; 246052577; 954463651; 355829875; 774761167; 761926427; 939909337; 246542781; 256053330; 157790335; 756201140; 518328367; 824000285; 743869178; 403400113; 456646391; 437482792; 137225002; 373226478; 463566988; 535256814; 942209421; 633521950; 597698796; 702827799; 97708850; 228532632; 230312030; 613435474; 110817923; 9051069; 540365492; 33395274; 640995313; 361029618; 97705170; 242656234; 899616792; 482315733; 345853852; 746524465; 374749697; 285583271; 184674830; 255561785; 123551091; 959184429; 652683264; 78588361; 993687904; 288467216; 987243548; 250211234; 131780353; 267802457; 280014442; 8902426; 285272582; 651812631; 263808163; 725386367; 494493666; 741324437; 659460411; 635310573; 745155474; 865232066; 302327704; 457031120; 154039206; 168735173; 790575420; 175935653; 641015204; 677474422; 990437134; 883872194; 18774841; 611100552; 684269242; 90256907; 74131584; 682350314; 61377044; 865904420; 584691493; 301854886; 612421939; 505966137; 987933869; 245234953; 501866788; 389690949; 334967736; 219629919; 236499064; 341115527; 341144733; 589361133; 511432447; 292685391; 974072231; 895851884; 557175747; 711025124; 264533749; 624322953; 759069767; 977520541; 520090982; 888396703; 6245393; 189275154; 334474360; 480444220; 532317403; 33211212; 698013021; 171735719; 312157803; 876727998; 216483209; 17451359; 799232989; 579409125; 443384143; 887255794; 706234073; 823263626; 799504315; 850514787; 402853812; 347745557; 995957981; 841250752; 272957529; 45311730; 997069946; 570891917; 977145130; 392165641; 843439777; 515669568; 464380439; 813071744; 992604562; 89368902; 271186450; 187073392; 497462707; 429368051; 21731223; 50240910; 144115814; 762113915; 529077481; 739274429; 851913828; 880888027; 157454228; 930701862; 358648204; 329879429; 188977223; 373956015; 21698327; 765757272; 95667819; 338764715; 23309432; 528903370; 935243996; 175096977; 715414158; 374380692; 63702550; 831795961; 91692633; 622109365; 617243374; 746788571; 969943102; 126833849; 45573965; 528386121; 754734607; 971338666; 936756085; 638635845; 31574292; 461321534; 276479450; 988540069; 531170958; 352706105; 912681245; 593814319; 142078713; 111087291; 15396193; 422725927; 649168568; 85662094; 955858783; 152584268; 175087220; 183931163; 826324652; 261596992; 732178503; 997879745; 677623103; 541900014; 686020508; 929782017; 973612123; 387037782; 740729196; 526150585; 612281677; 222073771; 844240512; 130422991; 940634436; 289658463; 105884846; 625711263; 347649742; 126549078; 722576240; 347658075; 114871361; 277070928; 612895070; 408312527; 377951537; 206420059; 690978425; 721903482; 428101022; 548181980; 275480418; 779202234; 534324759; 286311008; 508360732; 741631344; 588049850; 544032123; 389117746; 95243124; 610002492; 898247079; 141061030; 888733741; 395938588; 602679523; 271260017; 345195142; 189361893; 273346375; 905208204; 383013050; 454392107; 562107414; 262103703; 135085405; 798719942; 217489654; 753014647; 958121147; 484746811; 805069935; 683413808; 507922103; 272659666; 356539812; 633580247; 645699643; 981036173; 409989797; 357814538; 27810139; 409146286; 512188533; 520417895; 782111415; 529957762; 375278513; 724690139; 223244129; 800591985; 575098413; 11995842; 478320009; 558097363; 810176309; 686846206; 753496835; 800384843; 271675480; 70251975; 832904145; 197103225; 334782156; 807233636; 960297725; 586462577; 585808716; 872719373; 487362136; 1017490; 355461951; 367457050; 948943451; 726381566; 331213830; 487227235; 3719645; 811601496; 28294986; 342240154; 852898188; 275045834; 883506493; 325783281; 592456777; 916893875; 706652303; 834321339; 746112266; 539478489; 405426029; 625799013; 122772121; 273451351; 485440160; 711648756; 426909156; 80196773; 826538411; 750189718; 672809440; 613760596; 419535879; 896941078; 192651899; 363673321; 555667238; 392663504; 260628361; 442144216; 188179660; 839792202; 475360007; 754322630; 535555564; 590023503; 855646560; 963158170; 24082058; 666604866; 139972759; 970981346; 77499806; 398931992; 249971158; 882667035; 217759178; 478478326; 722602719; 909612951; 978367056; 59189261; 848559009; 33300824; 185619513; 518710312; 311309639; 778802410; 95142895; 330412381; 420064744; 646367587; 101465742; 844891740; 319400717; 760804297; 811519489; 93753233; 516520445; 599498486; 290463574; 308026445; 528204269; 370450294; 902943040; 681158445; 447950165; 412420394; 291391395; 740924885; 464486411; 979866689; 605334952; 128791245; 512257566; 729551149; 810091736; 678873524; 495480801; 453094540; 840370131; 810945797; 428747481; 430926493; 943728365; 434604435; 5678555; 723077592; 41326157; 464134268; 39538118; 75900227; 640558876; 83699757; 111989307; 225664731; 695160296; 830128476; 927414066; 664294281; 240686910; 979395990; 256772269; 766952673; 683074893; 943286786; 460338228; 9605788; 329752940; 121128456; 104864118; 400361386; 200431815; 215542147; 669143557; 79053341; 197273425; 145666636; 200446296; 410944924; 703639764; 945739290; 497352188; 292254199; 552894023; 141902862; 404225156; 399825012; 836515502; 198552142; 120657045; 427408410; 126475413; 321960697; 310331765; 332676647; 204392361; 838163250; 229516936; 562921931; 784632755; 630354394; 99983668; 359890490; 678749010; 376655840; 828186317; 987195113; 6085681; 560361912; 233859127; 168468932; 692661358; 86180958; 260445855; 668259657; 200378712; 280222556; 710993367; 851239120; 918992344; 254612132; 646615345; 501622314; 525479978; 341623729; 201289413; 472841468; 512139528; 442060648; 195183264; 177838863; 904176620; 420774032; 938206812; 457443476; 47613629; 395725411; 219614742; 537347603; 652098378; 742719464; 288022048; 183776710; 506422625; 11657154; 60751611; 110432051; 377773769; 883583743; 791926227; 413690648; 91869299; 683624796; 743098704; 316373281; 877188373; 785262535; 396768051; 726397211; 756764176; 406539205; 359541203; 944306046; 128074105; 352971060; 401019968; 734743147; 714148339; 326892091; 519582726; 16013321; 79702894; 936171845; 311927871; 47010850; 925705623; 442745003; 952989985; 103323338; 277819893; 973733943; 258937597; 854299623; 820404937; 755922904; 69475546; 254915288; 187679999; 657014252; 630238743; 918303380; 398385056; 42584814; 254692494; 714157638; 336919220; 264001602; 792986970; 970560392; 144091544; 826216360; 840759195; 839790315; 393356376; 678671395; 117329270; 43315325; 15918321; 801713729; 108238831; 171865285; 781483779; 164116876; 846441544; 672724662; 155481376; 63922284; 336696061; 264874968; 159013403; 509361777; 900982756; 795157696; 402901793; 211037769; 625894639; 696929807; 157134370; 678640377; 112971376; 240332188; 450127994; 768783384; 126868315; 802417919; 743101114; 2713717; 510111391; 577884350; 106892874; 213931641; 771736755; 634745557; 536312208; 68190812; 821623877; 754680438; 953018554; 35774793; 67722678; 15036665; 106955357; 802129602; 48317984; 485541604; 558467499; 858951745; 191447810; 468837311; 708052857; 187957426; 543236947; 894189810; 917286029; 217928493; 893893469; 513733716; 784279412; 77468135; 479216527; 990982216; 130255712; 393138570; 394437113; 929742630; 769263055; 153798280; 924849345; 699144200; 464366856; 79219083; 794980169; 971795028; 974221082; 868378468; 988463018; 417226811; 890445188; 442846243; 690463043; 481216461; 711710284; 819654041; 723691412; 44929371; 141680941; 342728581; 108764085; 967624907; 497879764; 636376359; 609441132; 441159142; 823344044; 617770666; 433081045; 960054358; 268553828; 302466316; 694487016; 461574760; 39888791; 365762306; 331868916; 784791928; 915148069; 133202339; 291896876; 457584558; 652491502; 636574402; 401390072; 548770598; 726406405; 956584701; 4587938; 535288852; 670223822; 775389761; 95321184; 45666113; 273290591; 516781243; 186029701; 304314767; 339680577; 644849331; 529607435; 675420877; 721734907; 898478585; 924913501; 590477345; 737887027; 336933564; 681243872; 50047850; 302079952; 275906485; 968678182; 299927506; 727212133; 167450393; 342259603; 509935956; 838885059; 753968585; 273259069; 448827091; 176163644; 875587836; 567445475; 60166618; 829940142; 619000647; 379817563; 322670752; 404046573; 163417773; 83240400; 419452707; 178395479; 736822092; 646067341; 946086910; 955555578; 242260081; 861446984; 527608239; 363140684; 31708986; 648339024; 260082691; 968839562; 126373007; 164577916; 653431754; 132046215; 941994021; 702593737; 448856551; 362581690; 713145821; 929012986; 551702166; 263437201; 817851613; 233124971; 625941827; 314985820; 364363080; 986125842; 957966219; 488000348; 610311944; 962724305; 856114899; 640134825; 678965186; 105177491; 961234823; 519362578; 575175437; 17005455; 729539819; 381156882; 728458331; 89433920; 92427682; 965117299; 307375788; 827657249; 989961358; 813693656; 950615781; 184028439; 888844964; 910021049; 106953268; 176801172; 399026806; 286058083; 939555037; 931388613; 922370352; 213004839; 931617624; 772089882; 170192073; 857593210; 439223651; 652025933; 66481435; 876405731; 4151809; 773915370; 285572597; 631551603; 127000907; 724510495; 885586533; 803800306; 839624643; 708544496; 366602313; 659595704; 301383874; 530943457; 699047760; 215705712; 416135145; 758829186; 921278196; 82625709; 795489764; 738744414; 68377609; 544077841; 316972553; 425456303; 471982164; 471671679; 240094710; 825838861; 107667078; 100555506; 950513526; 15445381; 401219764; 639924783; 564044679; 176950632; 239825490; 822585836; 584629026; 910262626; 425314965; 928043059; 30554177; 368839451; 883917379; 308619568; 577623229; 22057351; 305992653; 830114833; 350250997; 948975351; 23059666; 731031102; 772422744; 289463241; 946855570; 287621226; 972487952; 870263909; 476536675; 606066330; 815261863; 713695365; 161340506; 519661090; 51464691; 611176860; 193219867; 724458632; 928006593; 685920743; 357730337; 687801920; 466983418; 433482581; 440866050; 199474823; 145119222; 703618700; 549221351; 365038362; 736138080; 610621897; 184556643; 109544286; 407808218; 700640221; 932534929; 598127245; 50506281; 284963042; 553054801; 349809154; 146911966; 397441806; 808457099; 804175425; 901530442; 977662625; 195639614; 326350474; 80782081; 429398938; 60042889; 882379786; 978309420; 409500006; 805151207; 498408053; 974776742; 224066811; 261353655; 681802012; 355747270; 157975526; 907499773; 827537261; 27351677; 81886443; 168509412; 591098663; 91143832; 339087277; 704302850; 762875918; 477454323; 439373427; 739064552; 345479929; 601736726; 440591130; 696966640; 518003836; 887735214; 567653050; 380620730; 598903407; 982963302; 784472768; 226152073; 808300929; 105347778; 227919922; 607368944; 865155800; 447089239; 272100648; 163609195; 33893511; 938239039; 105641708; 241190311; 530555194; 954540847; 20531209; 798688349; 172465357; 389953147; 134750204; 975246142; 468539556; 718668074; 877052911; 771823438; 297665804; 607399622; 395223881; 513505749; 535319277; 311528659; 910711820; 518906657; 806604258; 214601345; 750620695; 103671337; 70885243; 671083061; 458443279; 426597097; 606135019; 734861977; 322937501; 965094288; 295096051; 989242053; 436279985; 173137805; 752981335; 161132238; 895455750; 67893908; 727174769; 502297125; 27674351; 926670067; 815913274; 105350952; 82264927; 258901901; 241839301; 204098860; 933903085; 760841352; 212988080; 55994035; 862291191; 902689151; 847242195; 5734324; 407486278; 377169027; 694128111; 455605243; 47158401; 85321277; 867939997; 520124139; 357430354; 949211241; 979103029; 434038145; 290087031; 640850303; 874538746; 288939607; 162442570; 941626621; 936271723; 694249081; 588338570; 925339357; 578987077; 860252554; 372673889; 923941383; 644178638; 559583277; 828818933; 798887626; 19630434; 618180336; 358493660; 580450664; 129688430; 447359203; 963410375; 244357058; 139031669; 453141732; 864249762; 807588272; 417610410; 431009129; 186134864; 953320204; 467843198; 410159498; 431349590; 940868430; 147443459; 465142619; 258479198; 439810188; 883095478; 899255705; 860423864; 392578417; 860201054; 64872247; 42486601; 546168376; 885495093; 781238354; 197176140; 817146792; 343887223; 270293279; 834476232; 715914486; 351611498; 380546119; 336003286; 296624241; 2566714; 60124712; 404407247; 117907604; 798042205; 137855485; 17170262; 576611637; 231525651; 341080939; 150621665; 466088230; 224943824; 207226820; 743651954; 427122092; 815529447; 939485333; 46120500; 975120323; 719880192; 337465508; 986398338; 581305405; 541628405; 124001352; 398636064; 473002458; 84292607; 564251894; 367094425; 314707343; 448347810; 58354442; 634084042; 497938861; 25957733; 900590575; 259869371; 905027868; 499087127; 175908206; 897741518; 885585653; 185807524; 95669485; 145262771; 122124966; 936703596; 185879020; 296209606; 247157464; 338548461; 619394431; 311689380; 561498505; 639473230; 473351282; 259889704; 241274937; 250127947; 350293005; 540763304; 425785303; 981576255; 793350754; 928277866; 196477698; 911075979; 620918047; 932500108; 623033257; 516939501; 890922568; 566292553; 455878680; 318452481; 180566550; 32089212; 553619129; 955406811; 232375246; 52420501; 241702942; 396245062; 904420966; 671891103; 361457942; 615250532; 210356100; 627168518; 510082334; 150926564; 276599771; 147321446; 558181697; 35744343; 546931577; 693637827; 965973088; 898227234; 943476883; 559395677; 53569784; 314882472; 114682964; 633713602; 310501361; 193811544; 594823059; 223523780; 764782993; 884906133; 671678011; 106305238; 113036083; 266266529; 671138281; 496677079; 38353992; 817834925; 897560719; 553884975; 742670441; 262302764; 168411890; 245762926; 540495844; 93921331; 773011071; 61217213; 351432781; 114896038; 530269675; 143751758; 257819862; 431983459; 191755684; 644648568; 350257172; 121974000; 462520981; 649619966; 997557930; 255367387; 299235356; 659354670; 642055273; 51221043; 307052989; 81969782; 332702630; 427815197; 912370363; 987291946; 965145934; 75902371; 635941275; 131548611; 811688714; 781209336; 524058816; 272195831; 375213155; 376026192; 393272550; 873998263; 574638417; 91431605; 792268784; 210141176; 174921821; 964949184; 151230475; 344775484; 84309935; 60872491; 844427712; 31868679; 833086874; 167658221; 834886812; 628415840; 317054670; 860804132; 671143580; 106836748; 807129533; 678409579; 412135036; 756907980; 203426460; 411033710; 473050847; 285012916; 20264500; 752605311; 154461777; 556217686; 892561970; 33617493; 11090123; 839336238; 631513075; 633699889; 73590133; 218545835; 982961791; 812081633; 961688897; 811453225; 402400859; 973046473; 56132813; 54232922; 833254626; 333270102; 997027807; 460547367; 128125547; 143584932; 952598888; 445902039; 428037064; 622257895; 607371635; 973626683; 414039374; 568293498; 23387120; 59157078; 950966319; 154532539; 967990688; 256771200; 117494629; 426877926; 877058767; 686809356; 108905567; 705432698; 972517599; 5270996; 510926180; 504870938; 273427679; 921014108; 396985051; 571667646; 699368016; 33532848; 174548745; 825443607; 735464066; 809914687; 14934135; 777449575; 100408495; 749220908; 315002411; 768485795; 342472390; 641864151; 431465217; 661082676; 637230044; 289397696; 925200487; 428062887; 974463570; 361844463; 829096432; 119530045; 226527049; 478685877; 27335131; 101875924; 260780163; 204862891; 767819459; 58834123; 658800178; 961007694; 94917624; 676020709; 418883298; 852474348; 321350403; 657842892; 471801265; 831664406; 247742270; 955489928; 927010753; 307289728; 711969523; 221819789; 591082624; 66489478; 596877802; 304738088; 995400532; 278405993; 827974811; 33808812; 608530945; 501484895; 643574467; 49784961; 898705604; 776474727; 291371685; 319946487; 191980198; 620102450; 894552860; 330951854; 673125016; 856024353; 620028956; 228181178; 222999326; 86365185; 795566916; 380893136; 200172436; 527725564; 999446906; 671786401; 617240022; 522914936; 595618515; 2377179; 713860557; 162067420; 984999357; 332253225; 734887117; 140211286; 766094569; 141023619; 238852034; 870028298; 863868983; 873845290; 297117645; 135734091; 564713047; 611880535; 781291438; 721776804; 748910083; 944221918; 582281310; 525144137; 191665411; 826438441; 579824856; 853357976; 296668117; 777506569; 185868247; 160068047; 968203631; 55979660; 645378386; 82841701; 473322009; 415076516; 658832565; 416927762; 340465534; 545574470; 760628918; 372717547; 767678386; 954133897; 112689346; 516969288; 96201420; 893026650; 722808085; 710209825; 503913114; 919695537; 473711096; 585149629; 599438231; 607203514; 168259364; 162164976; 768975780; 468352159; 928725004; 821600907; 49430914; 180043516; 13244561; 100312512; 561416450; 61169736; 631722015; 52911406; 419735938; 514517672; 752211044; 428906788; 224630057; 993207600; 530433988; 284359055; 634052239; 257703792; 934804092; 898862698; 246747418; 787135740; 264510677; 426273432; 825477179; 65542105; 633669483; 519849379; 456066156; 160301149; 919596716; 108467428; 232295738; 394049816; 528086680; 772974283; 929497438; 401888349; 627455832; 289312524; 391102849; 331784605; 786911952; 619199061; 575234327; 598284810; 126190201; 826287156; 136632457; 46941682; 165917915; 79451986; 803843792; 933414053; 821004427; 968494227; 734138028; 910091527; 996834305; 714753434; 353890784; 943868192; 963277463; 291019294; 604484329; 787641555; 377194622; 108268318; 47145894; 492205845; 984106979; 166611222; 470385816; 269535614; 674921721; 605456485; 275780304; 992293404; 546713982; 598396077; 937508704; 286448591; 838625149; 699573137; 862811947; 526922443; 27251769; 847873229; 918729407; 371360577; 911928866; 929056823; 849921002; 978168154; 818366717; 999760855; 383259510; 705163819; 180448100; 416834211; 18053606; 916064290; 348905453; 674629846; 651340100; 127020457; 761569283; 723557015; 156274627; 516286006; 645216793; 973096054; 861195377; 846105633; 695956460; 429978134; 916719962; 989849218; 788417847; 83373252; 289743496; 883747108; 625327506; 242864545; 338443287; 301125552; 795464189; 999538822; 795727733; 802035225; 391477993; 478870872; 797478215; 546475995; 812673634; 650347821; 688715824; 395767161; 820128156; 555287848; 849065976; 831436407; 143822602; 641984840; 772334219; 753378747; 115329086; 490594183; 3866816; 756927618; 117975398; 208563173; 376965664; 931454961; 193548117; 962376940; 85716545; 441038848; 91715964; 155742797; 252507746; 150504672; 958655793; 764582482; 594192924; 954954301; 985670071; 179690263; 912457272; 463933579; 847563860; 311032728; 104480524; 521868833; 427736807; 363711800; 49504140; 818744784; 850162462; 178601271; 780623515; 287294986; 318120543; 632837717; 319404926; 256346757; 632683442; 636136244; 660969965; 189287537; 877709551; 23971903; 457527663; 871915703; 673682885; 623840303; 223267949; 351980883; 262029334; 357551163; 768529339; 39897554; 348977903; 936044114; 856952592; 219653342; 684924316; 968245783; 65971285; 689287881; 37379013; 397592224; 609315024; 156738086; 819139924; 740556143; 716722658; 647724882; 737505979; 634965601; 818594448; 141098648; 621848521; 549361261; 808602626; 700170772; 45494994; 922051691; 214588198; 1207175; 183412268; 832821107; 15566627; 603576055; 981587660; 237974863; 781032253; 632565224; 358257294; 872671467; 4732699; 720366406; 680249833; 234304289; 909116448; 926986870; 43508566; 960475039; 6618370; 649969199; 252236357; 705628018; 237578733; 713941475; 649333345; 591465120; 557009814; 117269814; 361095779; 389976269; 433640934; 72825156; 330572845; 140550806; 127388890; 383365084; 541377031; 53267365; 246988991; 843668754; 37437213; 673931943; 719174911; 923227152; 104984216; 627764762; 26174087; 237354551; 381361256; 253114536; 836790412; 427221140; 579137846; 105553114; 393439039; 11755838; 824630644; 713833443; 273525816; 213092609; 394439667; 962406346; 50538109; 738576505; 451702680; 402573509; 859584149; 482402133; 78797992; 90161172; 559118707; 997569871; 536933061; 221608795; 274719736; 195748563; 564351063; 667905973; 676270441; 719278038; 660836010; 769541730; 904019596; 626947657; 904272398; 535259471; 359011044; 260084721; 623924729; 944691448; 439824276; 465486292; 26732858; 952341656; 421061862; 955672787; 879168080; 689990437; 446155536; 552881746; 224936523; 968887261; 102593717; 799120241; 648277599; 752102014; 464757969; 969672124; 244196761; 477349655; 625520240; 660611936; 597056538; 770529278; 435998007; 513832673; 560674823; 847558353; 4947584; 693235921; 961433609; 428307930; 669869315; 208005139; 616726726; 783856851; 139813198; 406594855; 954066242; 683851476; 962394236; 338950972; 905772428; 628187660; 406960327; 53388860; 689899276; 812258970; 848990670; 63724121; 399172680; 353616029; 70940854; 332032359; 489135827; 666273900; 634025338; 41146902; 966613581; 723565441; 682872329; 633734213; 575795925; 148545626; 413978292; 922701902; 239008672; 837835118; 205738248; 807689160; 407699210; 172866539; 903194796; 54198271; 411780110; 461488247; 183827147; 878487376; 807955327; 934019949; 894051063; 153471799; 591593097; 514109595; 834471408; 759385361; 504418916; 824068196; 478248500; 373407148; 610747160; 388788564; 972510933; 823684226; 589811930; 651030498; 181963391; 965997384; 746225049; 895796268; 617112155; 44253979; 324470018; 514227500; 7864302; 731129196; 939372599; 897043553; 975603680; 596898481; 729775332; 917373017; 397615785; 26815235; 179233900; 57262037; 700157820; 610918501; 861454632; 525986250; 731723212; 651079262; 952188682; 787813549; 370030449; 422907912; 195761391; 38879888; 824143558; 56218488; 68251711; 801659670; 801784480; 999512938; 751373792; 360081055; 181771617; 25277191; 648470738; 631419401; 95041700; 302890426; 224550341; 120155085; 30840434; 395743488; 497890881; 101658019; 394572579; 259826404; 932692290; 717933302; 605016484; 601426732; 658736116; 88829625; 726696493; 691807535; 371722208; 433202495; 624396456; 771188146; 284701456; 700357232; 916259370; 942866865; 806629428; 954972266; 752408308; 235337489; 194242534; 136252709; 814256159; 423192980; 638645885; 558194367; 255952258; 356365221; 436313473; 382360334; 622449974; 91676908; 945212732; 247300108; 392682534; 80627533; 616996492; 913326655; 107938295; 743155156; 515130761; 77809785; 871572922; 400271063; 599999742; 968426173; 487364405; 882703450; 226958451; 336087451; 436595239; 468558662; 956127568; 565850546; 825522717; 436170145; 787454301; 36874946; 998697886; 925219546; 74653148; 583166093; 513744330; 898561962; 487741958; 427579201; 934264679; 640896501; 670546506; 212924157; 547463019; 246355623; 835353791; 568045093; 304387102; 200052484; 148853302; 980820609; 934953215; 771101087; 35167987; 855075742; 365284255; 983076031; 868807985; 369551005; 501907142; 749571777; 40521132; 189169655; 922785908; 617190509; 884284209; 588402879; 209669491; 198524640; 121559662; 864373136; 636638421; 30512733; 778609583; 924585868; 318253317; 724598657; 446906269; 493149285; 965363342; 664606174; 164673459; 80424511; 942218416; 395425620; 682230879; 65251546; 835311400; 212429444; 310172839; 35445077; 174852697; 246707530; 164945124; 892668468; 377423052; 209777489; 205322668; 756750927; 594688432; 587208595; 139605493; 748448721; 485348038; 920372412; 191123866; 75256149; 165598545; 881107473; 487998043; 230401296; 75630688; 301125815; 360817863; 9661318; 969745295; 407456989; 257376691; 690660950; 681970426; 149443876; 597632031; 634315784; 427034449; 526008026; 830854027; 541717768; 647972257; 557005501; 904711865; 65143136; 587646957; 788742182; 854461208; 333956035; 315967676; 437567091; 499439812; 643840428; 297174481; 440272714; 636510124; 190250022; 574458290; 493479689; 104637812; 461512625; 37129397; 6028156; 368816976; 631071910; 936626669; 835738849; 662364278; 854695704; 696176195; 977985188; 340456947; 433355029; 778826416; 638063389; 482771125; 998752777; 972997935; 151802131; 663306804; 218552494; 921328485; 820674399; 445813203; 771617768; 414413743; 478847723; 776242984; 985767408; 540705318; 191843532; 952773790; 509500937; 241143118; 38102342; 129254953; 201491848; 182249585; 754939230; 935774395; 656132100; 515474560; 90364004; 309658457; 578269361; 605431674; 898300472; 950256266; 287668356; 121069584; 176924909; 812118035; 513137738; 16303976; 940919245; 873201899; 92217061; 687532355; 463661264; 886187509; 896897466; 64844394; 565733764; 28513649; 898964771; 74059362; 512267072; 245469087; 694138693; 826373591; 684096351; 532038809; 725245025; 74301497; 280905977; 834827628; 388227964; 100666200; 388673315; 528473001; 801966808; 68433018; 555782035; 965348929; 469078078; 24443634; 397606845; 674128782; 498327486; 444916199; 441343076; 895468497; 300080802; 960240867; 373610880; 560241538; 848236161; 673961121; 185853276; 588874153; 657038493; 844343630; 2480167; 585431126; 944690393; 145157699; 160544834; 607702334; 144139106; 700401754; 868340912; 55392083; 180060199; 308981141; 618354553; 247612775; 341227084; 21889755; 476925288; 140807619; 444855041; 848210083; 320168872; 743204087; 866752897; 558004290; 912523124; 307491192; 273868373; 900985301; 945761991; 84084164; 647084043; 944609991; 402563404; 7409146; 272625476; 939566637; 351968239; 587101764; 74943514; 660717862; 475498949; 415106664; 864708774; 66410847; 754941575; 693235817; 239551758; 244585705; 342377475; 765517029; 244757598; 354281720; 981049074; 231184444; 524880786; 97932670; 503958229; 116314684; 684947776; 244086664; 611485091; 33746522; 363578446; 190341075; 323231507; 39230888; 701446566; 446487677; 947677430; 154793986; 768090685; 481684294; 256554968; 620622603; 5781572; 849322375; 483771366; 604529220; 653935096; 947645938; 3056223; 650624451; 689870538; 225082076; 297924363; 220812199; 909884911; 372967915; 972517259; 238740473; 850946169; 852002780; 734494956; 624785756; 933426680; 865901368; 928267683; 829489658; 661403662; 729099795; 820743106; 308359490; 880276370; 442416115; 930067183; 670390954; 14121003; 183286612; 901154192; 565654333; 77615201; 953432653; 376912547; 469506294; 32333582; 628868171; 504787918; 873819778; 756208401; 444313594; 457127113; 356654268; 46100635; 760381055; 107430121; 824007657; 437985269; 321820914; 720064804; 87269430; 942705591; 109702648; 116916096; 832338244; 511255923; 575628916; 456610254; 248238183; 837864258; 482017241; 857457182; 479079094; 128930238; 801216297; 619505644; 701100877; 219773017; 988396634; 156336043; 190594824; 579143048; 786822109; 450307525; 682880378; 102791559; 935283776; 528482280; 322661924; 343941727; 910207393; 739009469; 682424545; 838947490; 784726716; 122783124; 524244237; 312771085; 185621426; 694971037; 240863863; 437099971; 487335599; 568734049; 280154858; 74136308; 209218288; 182527611; 609175881; 70898926; 398786729; 923015696; 432225148; 925743726; 522512902; 624120921; 894885556; 30083964; 745798546; 4914983; 140750008; 643647839; 710176892; 78046433; 528831729; 9827353; 374852506; 98765219; 177400801; 604595751; 902856139; 519313344; 252154770; 721827647; 588308984; 863889284; 37418918; 723655282; 515992254; 487587902; 832395319; 69480212; 986723240; 25446161; 982218425; 397621113; 363413344; 726793462; 574569503; 750747195; 520894994; 259526135; 721863832; 839121116; 323677176; 456307422; 127185657; 288380958; 445660533; 327255313; 598457088; 386187277; 149000515; 847005477; 959874260; 536040611; 542095317; 765482806; 200643926; 299614478; 898144547; 838371801; 941417611; 805333261; 804891675; 895613438; 397295052; 834620167; 451145525; 617548117; 268313777; 91646986; 618543566; 278416236; 539879857; 201773403; 817062584; 43979556; 107182814; 460502347; 205293786; 570472346; 741054920; 942238881; 56682444; 311100478; 578991951; 928694460; 643874122; 640143286; 845584762; 613658672; 758148656; 706680141; 476062881; 127436242; 925548909; 315049030; 875256450; 408667041; 318813553; 586242290; 902403805; 868374884; 164174600; 226485674; 850711313; 464317274; 219502684; 490318272; 881915564; 241747867; 63701721; 406680366; 129215011; 468895363; 287494294; 946636984; 21050146; 60969747; 550733458; 842849691; 324242499; 596912193; 781749454; 424434579; 178692299; 41004495; 674634595; 522286251; 57284252; 568503594; 370045035; 123406048; 762060536; 280010007; 202381549; 74496337; 67868807; 300433998; 441124267; 603178976; 117411491; 346371312; 135865042; 773735568; 962196071; 698786137; 324178251; 982893120; 859072225; 889464000; 561487562; 57249630; 118416359; 517442560; 574244156; 535003954; 681828617; 499088152; 829089612; 847601707; 731578008; 649948469; 173447065; 709119971; 796908421; 343090023; 80736940; 717322927; 938418371; 240652168; 820221135; 114977330; 440943823; 266861999; 183565408; 291254884; 964942477; 873150888; 84993111; 685088032; 393777548; 550900502; 814429509; 416094659; 148066771; 940291909; 155502901; 694307839; 199423322; 816664625; 412356991; 937117171; 275822685; 349227227; 488496724; 907609660; 251857119; 252432108; 85834635; 299716405; 751263379; 129032533; 977858696; 164143272; 944530985; 367704191; 950471232; 561885976; 590034771; 957665940; 276341469; 984743161; 883569545; 922257260; 436537005; 88453223; 267487071; 813864675; 486514815; 984378401; 650318652; 879919622; 350888252; 362667384; 672753035; 619706288; 587470884; 777920127; 35489176; 114275354; 934279301; 590479505; 446899825; 287350783; 741461454; 781631723; 167893318; 743221274; 19905201; 900560752; 891458656; 902815500; 220052673; 559740574; 943200464; 73496681; 881438704; 532888905; 157853392; 181372819; 62712023; 888291996; 46142742; 838887694; 453094925; 987731732; 901442193; 942551074; 14708937; 693715975; 599148692; 902463761; 954645400; 488605043; 840740407; 906431585; 57035546; 944142827; 658390331; 973000137; 484657738; 602318045; 174683528; 821470866; 666060025; 213223373; 702553254; 374763623; 70925328; 462735975; 4963777; 393271322; 33126199; 175304468; 784112547; 653297880; 101946138; 604505608; 763134235; 121476732; 291760134; 99933519; 470390410; 385678615; 414740250; 582566278; 908953411; 809175105; 993170623; 716432181; 529445977; 474074487; 951128290; 669483238; 660975828; 934764; 521790961; 799582352; 319706284; 603501529; 20971879; 587852367; 4647391; 91558411; 400145715; 209310146; 590326708; 239301226; 984567849; 988646156; 749131566; 786090598; 716647975; 883415758; 437647506; 289455108; 869099655; 999389673; 826147277; 706399713; 915240234; 75100787; 971326337; 952019079; 416150118; 688510843; 927119757; 586260822; 259266884; 717962809; 380194; 109645369; 886433956; 641107360; 839421904; 516365416; 113583376; 985757471; 340558356; 486099838; 942243326; 543138066; 9681700; 452752238; 216763802; 394438469; 594669426; 671698464; 777471299; 956246584; 822217430; 748674864; 420655829; 647762634; 948848938; 439557848; 409758667; 551719063; 393401735; 497154005; 971413360; 10557683; 695318102; 614349571; 891404031; 44685567; 627303470; 886016060; 366234776; 173158491; 451880355; 522587020; 153416109; 366230689; 42670862; 609151337; 468760139; 9713798; 95285851; 870835162; 437214056; 615722391; 370675022; 682115251; 18874212; 505322959; 624290943; 469611322; 528990801; 804916708; 671689075; 306923636; 363348618; 652921476; 842603530; 941782105; 835773798; 941256054; 857560835; 975022510; 313734699; 514068700; 607447705; 863621152; 845502734; 900274358; 55533445; 522348910; 921047808; 603994503; 536247285; 674708907; 572513695; 353944596; 865348045; 673528916; 155351017; 189817410; 977733505; 559027268; 869436500; 563152336; 102797034; 538876163; 116771134; 607973650; 104284662; 520102360; 734840276; 581836419; 926307392; 797564685; 596498449; 410502027; 106543286; 734839042; 38286107; 126433475; 885677202; 528165406; 909458851; 745930957; 801474807; 869048610; 401583996; 411784681; 413089678; 90135217; 462376035; 554361729; 545653740; 976497606; 125768206; 260077051; 631436559; 4255713; 114013991; 71790325; 64693169; 917321588; 782241657; 465142061; 713925770; 143951767; 78606601; 572799935; 478986421; 296773156; 455941631; 746018558; 36184207; 400143913; 584834541; 250644101; 331064754; 963541663; 777664141; 674516108; 593926417; 579953178; 270193848; 837637437; 816704663; 179325218; 963418067; 37390240; 282376946; 673492893; 456319100; 819078306; 160604707; 799794633; 782675304; 188898596; 505237529; 514339591; 362343983; 570986924; 769635288; 253783184; 384809138; 509249171; 353275101; 843335284; 753499370; 239022196; 96789623; 102658832; 762291499; 729366620; 852725217; 186026388; 905257127; 516468109; 531795733; 637865091; 548205127; 124917846; 392697266; 266808452; 298922740; 140994807; 26289693; 896246548; 386701882; 154511906; 824477495; 403024478; 697119392; 610453794; 320892936; 342943112; 240640213; 843645975; 933079921; 316376429; 383330094; 972591519; 575846044; 860006247; 489374186; 229435402; 299138462; 697543234; 176585257; 564024825; 134148676; 649977751; 99237092; 963514428; 366660178; 308918349; 429367231; 413131748; 351623239; 412145604; 62901370; 60629614; 296801846; 892187863; 231511621; 331919374; 797818955; 817466610; 973242761; 313016255; 15083681; 208522392; 902869917; 674390433; 318046321; 378094528; 269509893; 661458627; 851518644; 996914007; 333077758; 416802588; 84963490; 286514519; 31519047; 417853246; 824049685; 266523000; 917602453; 577186800; 258636910; 777716422; 906591023; 688262327; 641151842; 610471466; 136195464; 739350512; 756156376; 793904676; 962858006; 157907228; 13846592; 452036667; 751835294; 191689501; 840349703; 596773783; 672022149; 121454966; 519345548; 226209036; 932405741; 828865447; 134222604; 924442604; 213348592; 201120066; 196916968; 462877264; 903933621; 927688394; 634840956; 934925974; 274062903; 883273363; 499224725; 929511940; 232882108; 892671121; 987073827; 383805138; 957811226; 460942576; 177874871; 448191102; 843537103; 839776824; 548238253; 381297159; 813141667; 682459961; 107956482; 305809004; 878190334; 957466759; 771702292; 892324788; 83761116; 979989717; 858558342; 12324619; 584713961; 632603432; 793103119; 818382417; 911518576; 573204907; 518308168; 585232060; 629786127; 167729863; 35663000; 783543597; 373841326; 612253794; 271258180; 959649529; 918076882; 76761830; 100087304; 869145763; 940923630; 383083983; 554079323; 308897912; 162766157; 468630272; 477367283; 681394469; 647612580; 734275699; 328886945; 558843319; 235877977; 955091666; 569665948; 159391056; 174211264; 229782060; 27248555; 794629141; 949167498; 917712653; 285051763; 227365684; 169919545; 67424834; 199765942; 991531232; 767072611; 931804676; 146580901; 829650770; 423005406; 128087048; 323460565; 29972556; 843882118; 887100917; 117373248; 401938920; 270583421; 294264399; 392411707; 139707496; 728395103; 264369435; 323131495; 260398833; 993857929; 297649320; 469426442; 651775118; 343251262; 853899095; 355949795; 278161625; 422610536; 772702500; 54860979; 240881252; 38302286; 331563411; 961005333; 633361220; 805832562; 453392808; 564601339; 983108230; 806809648; 166134666; 842703047; 626500683; 494130618; 909672854; 172894387; 223968095; 315976111; 219639208; 104802260; 638272872; 97307735; 614818366; 388482436; 427882619; 316331429; 279162665; 68974461; 814868406; 735844964; 502646216; 402971636; 352033806; 713758100; 817558798; 399537930; 256053203; 550443126; 215434418; 873880435; 149774910; 646716515; 516582746; 118423161; 928013081; 655259572; 192166919; 761899800; 625584209; 790269049; 898107678; 355261320; 151017956; 927183660; 901046989; 978125493; 699665128; 506121159; 940067840; 329307444; 484709189; 179078036; 367539878; 196912629; 598191365; 650968175; 507455546; 140662363; 317944938; 860691378; 667804426; 118983643; 694871405; 756790655; 339504637; 191411358; 684972275; 805076591; 72954868; 954324318; 444926076; 612635024; 80472025; 165838897; 110288979; 607855292; 765549807; 705723348; 293708374; 601713690; 752720479; 722780511; 451171514; 760135362; 506773487; 511147268; 904944281; 50265339; 109021529; 4267929; 578041343; 666060082; 834698382; 951796527; 794400567; 211340585; 473879013; 578093871; 426855378; 655888390; 765773157; 423335472; 536784717; 785431551; 590665872; 689589066; 826454684; 903398157; 575670300; 662842376; 340449422; 464776110; 777864185; 536762891; 893089860; 467974665; 802030318; 952092388; 52364860; 673661390; 186820208; 785864861; 729537468; 817344929; 897462045; 300583856; 256301628; 654014091; 364647211; 107568830; 264616052; 836594567; 377392976; 69716454; 735663285; 628502636; 245416092; 987627180; 75877844; 836608087; 148890969; 466402640; 184824552; 161896476; 380077987; 738116693; 925632885; 989602071; 257997609; 939828880; 253287524; 959838798; 110731292; 34345880; 185899651; 954248550; 863393011; 282286369; 207447318; 837122152; 586802655; 340496603; 102479075; 826635185; 825281817; 650698092; 33438612; 12950803; 562501837; 95872077; 447346827; 384222998; 914984976; 629634895; 737509610; 623434359; 521877612; 544115447; 409638843; 571303277; 908284728; 625212919; 777663797; 261398798; 132267048; 134186971; 651437285; 501901760; 805973067; 233503060; 98848505; 486180288; 836815994; 479038499; 332036327; 854056013; 409256242; 602157300; 335614059; 52619776; 848193246; 604645290; 520063535; 351728791; 76632589; 211890222; 906157746; 924511775; 107446708; 159973930; 820489916; 231817059; 601301516; 440560157; 12933268; 669132670; 808373610; 824890609; 236442215; 20632954; 443156108; 44295285; 203761471; 468886899; 972075431; 301578469; 856113551; 879360048; 459737209; 750956022; 552423090; 449821356; 601667332; 460643414; 240050034; 940790192; 377402125; 450829162; 716880651; 124856574; 828419438; 417615779; 895166265; 348247944; 593636929; 101763891; 280498599; 242198648; 426199413; 368740667; 317882355; 976732846; 591651874; 286155702; 281600154; 55163115; 393734114; 268209051; 934561909; 623396324; 16024633; 225243403; 371860202; 284531835; 380023600; 403365318; 68510897; 297670185; 308351529; 476249297; 895546457; 556620130; 791123657; 159873121; 200766959; 511763872; 522614366; 17855435; 769557196; 272261992; 854397103; 244616186; 935456379; 42497208; 899213379; 313032796; 552184006; 866951889; 902324592; 230805713; 592420377; 120134695; 759794998; 342567821; 741666931; 732115005; 164041702; 220861529; 519368132; 633132168; 827106602; 270850742; 61171375; 988732049; 179100796; 4116131; 737206092; 806677693; 547901929; 446283571; 705743409; 126827665; 941666643; 270061621; 758050818; 338636704; 584054820; 173499400; 679959085; 794822335; 504839491; 101993911; 712997236; 54022831; 356154960; 639216695; 827723394; 906862441; 448645233; 248173559; 830456851; 43732023; 527020999; 99396276; 568932629; 931437159; 435045081; 200448241; 170900820; 31550315; 347148923; 586320307; 759055177; 663458515; 238620462; 634476728; 561748719; 743604791; 761189356; 494322720; 777109720; 306584257; 595176244; 909819988; 961858955; 447951857; 472902925; 373303117; 62459921; 801078357; 534818861; 566041820; 836457142; 115282334; 200597818; 102503136; 64190551; 840102170; 507313202; 391873976; 550278521; 106582782; 835356033; 27094824; 971043462; 511336849; 502736477; 603985111; 563172451; 574779458; 455220906; 488767983; 587019108; 968645153; 635835414; 881790154; 671198453; 797906853; 215629244; 918612364; 727968806; 438823214; 42142929; 780152617; 639350136; 101995894; 398590460; 475663585; 824791263; 657178983; 135528029; 279498641; 660433376; 870857251; 774853172; 977739928; 310386265; 148840556; 349581905; 849222426; 173199358; 626470090; 246250023; 853882092; 523811058; 616608936; 495959373; 798981276; 90332676; 883235787; 403264837; 581738883; 769665944; 727371298; 537907107; 768491552; 752515650; 233036088; 911944660; 99981895; 41450036; 177399482; 301801618; 854393684; 934005902; 957474632; 508397381; 612284548; 348583540; 651475609; 55024198; 253751100; 545903471; 131147411; 471544796; 720661855; 178624167; 774345914; 424752084; 791510751; 634461842; 39584525; 245819012; 97869673; 171969118; 300823256; 804693513; 89783357; 173472196; 738343478; 493500133; 357318864; 971319427; 988457794; 565314232; 948141068; 329518695; 44448860; 481853254; 924040126; 925020206; 505088956; 221730999; 328120468; 767091432; 806460938; 69577281; 45516403; 14373613; 8646318; 656633629; 642741126; 129039404; 514163459; 480839984; 835886102; 523609674; 714052681; 364704966; 799203845; 17978030; 25935293; 777726980; 207218216; 336260304; 253346013; 323353766; 218349471; 718104495; 593713853; 88495678; 549103385; 474582696; 424785846; 792395498; 279166132; 946156444; 505834506; 800482914; 396683495; 841978742; 119680208; 428740148; 292973238; 55281897; 271197487; 318292491; 583571859; 633693597; 816216556; 302547419; 430050107; 945571352; 751637669; 466472072; 503772768; 964583777; 932580679; 191315269; 256700926; 316742748; 885467729; 604433566; 473810862; 327115194; 394125865; 789943308; 978761074; 978630944; 404934949; 681849049; 410066015; 292161928; 335403467; 720125188; 304386924; 443506291; 938601180; 662002257; 879055663; 907479831; 183027987; 363467528; 860809152; 911079402; 771687594; 685286992; 638222487; 790109622; 4853430; 69124975; 408048088; 371813737; 107931039; 461700838; 674334374; 406202640; 913571569; 280851934; 257820760; 674020524; 533667161; 257210687; 891722501; 176277590; 565719126; 955447338; 505239267; 835627754; 3906038; 906504647; 959214439; 905993577; 117496797; 356705577; 413128754; 567644214; 396003573; 28244; 218271991; 142710070; 33012061; 702230754; 304521700; 529303569; 267336793; 268385732; 805257061; 535257034; 527007280; 241196995; 68766400; 854532469; 68470673; 985697767; 19685662; 995204332; 920535616; 589783340; 93075080; 488358133; 81080741; 69871556; 124586277; 564908852; 651407181; 779670132; 359191792; 562398944; 173737333; 328658137; 456742637; 60692810; 966077745; 593592970; 521157046; 196414849; 665860347; 315517934; 898675595; 348074581; 149698369; 195790409; 2782647; 774829277; 391730618; 307588143; 827863219; 558016826; 137369112; 828384337; 615086152; 748536570; 693716847; 311401976; 768308743; 370689494; 486979285; 349271534; 476551299; 552911081; 487882570; 550691372; 828234176; 116663976; 247611953; 142638662; 321303569; 497615768; 135282842; 475910355; 758003902; 522009435; 248539714; 803610662; 454617137; 497696447; 152133005; 123245609; 920403696; 554492744; 799622979; 348653403; 22324013; 866606414; 568598040; 280229000; 346339736; 228609493; 972242399; 531356648; 433706771; 342108644; 746974285; 700105442; 625504496; 853752434; 52844995; 183991145; 495669693; 434889799; 987509580; 363660962; 454550091; 287331365; 140594500; 441003799; 354613915; 767687746; 109051469; 93625101; 649090790; 395707268; 514486382; 420958355; 208905031; 788948443; 793401454; 848280977; 188656495; 832146816; 946141126; 771205804; 992244567; 330197294; 842103289; 489089040; 684322339; 223646171; 140864782; 515566405; 208626336; 10244747; 542045352; 575748788; 136828945; 969214219; 365758634; 507883341; 35393056; 112057917; 540202328; 557945483; 961684434; 14957837; 422388736; 383256063; 330583070; 993815066; 482867614; 692583121; 21201994; 938511471; 747730065; 746426309; 156314028; 574649662; 971474352; 773835223; 820596839; 131539172; 70534909; 386305608; 246383468; 469524275; 967507870; 445523506; 529431823; 225653792; 502677538; 187046411; 907807775; 22868511; 118241441; 355448411; 987684315; 803241387; 4722750; 136524734; 58027273; 139563084; 161923827; 602923401; 2079035; 20327479; 407720917; 709010916; 598660990; 911869444; 823752003; 301181110; 88351652; 883439663; 469907099; 386066389; 548625868; 252585316; 334093271; 30844916; 793996095; 983045835; 585724984; 287730; 163279379; 223557408; 518227493; 308831002; 800744514; 266959816; 557610561; 219319622; 520496859; 804234974; 905325615; 797787841; 660477827; 544798023; 978585350; 514661096; 746711587; 991402267; 6100414; 935321909; 614074675; 679640880; 575175107; 640805405; 1440207; 869422700; 606398154; 844716013; 320098844; 985435831; 193409833; 122812626; 858675525; 183811430; 608468523; 326981665; 535100691; 752314225; 459522734; 755751256; 665899668; 240678510; 868233002; 121326822; 449978351; 514103113; 685632689; 173564918; 424912831; 433576276; 505400018; 442373795; 837046061; 922391663; 306700500; 605122326; 839145405; 462015266; 928774884; 328937725; 383304671; 904168335; 276936045; 908575504; 128144999; 235005557; 594551408; 922731277; 508412759; 578029486; 331482028; 190471622; 292648527; 978599240; 823068601; 47178580; 479820547; 461357545; 829092408; 392967123; 710219841; 928368712; 549275288; 658721641; 139106428; 770300849; 916191638; 875379877; 777192028; 646421179; 528131343; 409790783; 506866585; 234527887; 340719189; 165268317; 237926987; 401677737; 117403894; 131078477; 563125250; 486471620; 772281869; 973153919; 393217439; 613514866; 57213597; 180438995; 866558332; 463059033; 284124597; 436251671; 445174744; 994760777; 317058483; 625832068; 393377353; 371950179; 721551834; 320393347; 366486621; 993750454; 360966567; 891922189; 795824010; 85074362; 250574113; 611935889; 937814118; 549050659; 361835285; 847353414; 164115521; 819573783; 48784824; 992570847; 508803973; 526796332; 567485451; 672287748; 650909253; 533376651; 142728223; 349238301; 480320100; 444903303; 190742081; 913313485; 354391188; 145175425; 786923183; 326337595; 382447673; 19636381; 247966063; 324880100; 283860698; 81734442; 854860153; 888521264; 484438076; 302127338; 437006473; 683896936; 429664571; 210394428; 755239313; 329042276; 601043750; 537987397; 517374778; 331649578; 997282503; 635250115; 840098893; 754126514; 470254024; 50277060; 623968149; 362622883; 622338494; 696362928; 751120852; 841797941; 318586874; 211424892; 260689410; 964080219; 727049021; 146013990; 123515515; 519527441; 797989813; 450012590; 57946585; 614840084; 327281862; 353525679; 268674394; 867212291; 252555578; 956043514; 713118107; 670318186; 522179156; 289415195; 831067703; 146587072; 567234676; 613162147; 788690466; 440769750; 58951686; 785426981; 750990277; 869802778; 219982102; 962492189; 358235725; 30260262; 126507282; 697264269; 114411850; 216273950; 916127622; 811211183; 118555323; 915653673; 785686415; 737932809; 39377865; 89806192; 842560895; 448637960; 552231367; 355611835; 530547700; 613920949; 580601350; 448537480; 864934990; 924624121; 251283098; 147729722; 151359298; 196536761; 122121659; 463678322; 349281863; 18479376; 450980010; 363808521; 704567963; 351088017; 367700701; 491177640; 202432217; 726329593; 394508207; 339924880; 33558962; 162084888; 52328072; 711595278; 514100643; 190580410; 863398261; 809765267; 54681000; 315630705; 400448324; 673793450; 144678162; 250216550; 816021880; 450403846; 8558980; 713812696; 77959169; 745347446; 895885472; 127986015; 959593465; 843461576; 58439061; 676448489; 717351426; 555127174; 412755048; 284811141; 129401350; 840565739; 682902224; 948412964; 374567192; 122749865; 472582897; 866456554; 761381388; 273014484; 837520851; 587283890; 515381668; 793398401; 496734824; 217382148; 420790990; 894438793; 631224260; 248162243; 999883202; 513474091; 608652265; 192671988; 969819837; 100800834; 187821261; 912825859; 158233805; 754947483; 997371305; 768936496; 986980757; 404663899; 173463995; 116210435; 856523778; 432996029; 385250055; 643364997; 942368085; 713830890; 23652549; 908358637; 912921536; 191906754; 975367496; 389955866; 435879617; 630290560; 323048229; 7779687; 321267335; 340284972; 574280143; 723783013; 265077614; 131308542; 776928377; 174390374; 555874413; 660716368; 313296796; 52266827; 11533117; 384307356; 519672559; 808124832; 915889716; 902234797; 405088763; 120245661; 429615586; 702736212; 281812473; 807732777; 561007175; 670614991; 332303930; 792711329; 848928529; 506503142; 757023287; 647946087; 327581343; 904798386; 454573600; 481789308; 729740694; 292617488; 530421398; 561675056; 652715752; 787453268; 673909034; 632072954; 50250737; 13626792; 77869609; 537528870; 435585195; 876276468; 426036206; 340707008; 443212348; 356927578; 305429367; 195679919; 248876033; 118155183; 3113845; 853245268; 599248801; 621707337; 481463969; 713740078; 744798626; 897538990; 110695246; 788009648; 643951371; 298047455; 48423719; 789674857; 545785806; 165025115; 632462636; 624477185; 465841467; 577857953; 684617055; 454273994; 22184752; 375963911; 406192965; 570669846; 742227781; 889445596; 137106323; 91934029; 914511895; 316256580; 952728290; 726208569; 703859842; 289057929; 250954584; 966749852; 982067284; 284476736; 877453769; 594973069; 769534647; 580968175; 472121323; 88559169; 685864350; 894084740; 372521778; 188794362; 119142774; 240965582; 101421851; 762855831; 732555575; 957728970; 87347321; 486133591; 159142458; 269899297; 600175608; 445557249; 248025402; 526270961; 455991738; 584859308; 352535638; 700236161; 719159801; 539439026; 670286911; 582353995; 392518643; 717371262; 164436710; 49434987; 418824103; 548998260; 803319833; 110883865; 511369278; 950434445; 100263830; 806853177; 414946763; 556358212; 734247131; 740748283; 156564542; 515110770; 747218318; 1498061; 832323021; 165357278; 658103568; 528013715; 904487704; 531236999; 558819306; 924144275; 633535182; 886580669; 806626475; 536733832; 749423036; 13535337; 161633875; 159540176; 712661279; 678570346; 819309982; 68606159; 573578914; 755386514; 35465819; 95187969; 416617081; 896674972; 552598607; 665036588; 800713433; 287180480; 805138033; 677570945; 75594626; 639314355; 264575503; 371197958; 71409054; 651003750; 467982745; 438520534; 905252806; 422058740; 282297771; 256013323; 22454071; 320578501; 75399992; 23606343; 653283846; 789868548; 272154554; 352528964; 92016600; 701710321; 410079702; 329245332; 134959636; 551492296; 780747424; 414999245; 689838118; 866203472; 359856794; 162380489; 745917491; 842322032; 740988448; 211613619; 732508142; 796854200; 593722846; 341121003; 398363281; 686505113; 465301558; 202995017; 431163600; 403009791; 415627199; 905334843; 923179341; 232502610; 863507052; 371507292; 179828881; 701895675; 324581463; 170635190; 525567420; 175769921; 617973037; 468789557; 445223705; 56046503; 216621542; 679212607; 402705893; 721632394; 544271024; 346286019; 54589283; 391551333; 691509458; 64040800; 640533053; 599980940; 77650814; 769057939; 994864110; 11888892; 113710300; 270036226; 633898476; 603399897; 605417984; 251008482; 420406922; 131115864; 372774432; 874151751; 943203773; 705766076; 167231839; 866606174; 197951730; 408121373; 838437913; 51490614; 690686263; 735117657; 784206944; 819391929; 557416004; 983348479; 893227330; 885857478; 386937417; 803774889; 834631994; 702799210; 565252625; 309888900; 871358877; 203832688; 583462528; 48840810; 311339361; 187758242; 451995885; 4069907; 528188759; 350912339; 488189119; 103449878; 377318914; 288177913; 605711655; 875572048; 975352038; 984780334; 532409084; 284263443; 59004274; 853584436; 847466105; 587068144; 864856108; 424388507; 162880645; 820349109; 409579507; 1064265; 728122388; 664803758; 54171052; 597457446; 84892094; 307657964; 288911258; 456607; 71603433; 195484615; 150291408; 368930716; 369411451; 96285010; 959203857; 919534004; 498183021; 175223597; 700400368; 328362745; 140659531; 367871584; 8384960; 207264759; 808707870; 794657371; 245204439; 180151216; 606798864; 947082059; 647779055; 279761945; 19803485; 758153088; 407228056; 336112906; 827522211; 359190975; 994229204; 421283047; 60237334; 171970781; 925119727; 390545327; 341955282; 52574165; 312475124; 28548625; 650090241; 891343280; 989917154; 927551777; 779552423; 694511410; 572049570; 718544788; 148494843; 952415068; 258521340; 582460802; 363671916; 167412683; 583977797; 257904646; 162074482; 877823925; 943964975; 195820489; 618710341; 512335027; 272101125; 170468441; 49540449; 867441937; 211064554; 276589498; 827160070; 677412628; 159334357; 517167128; 762136836; 92631185; 929099293; 189611537; 10162985; 143048978; 324992017; 454611188; 975733143; 929419951; 314829751; 796312403; 203993435; 159325914; 56414393; 304814637; 305629290; 842600827; 844599813; 385435511; 551711111; 863900333; 744811161; 794895609; 858786768; 687033257; 446788794; 487235428; 826923608; 797164884; 811407760; 292255284; 691835989; 70879386; 335455465; 490915608; 282110383; 191297065; 318348330; 426658464; 348328032; 597350555; 413199934; 364581660; 464496364; 130584928; 73118628; 525825510; 103978258; 904314279; 981335897; 264697239; 957858109; 259215085; 582466771; 808976922; 553297692; 424561962; 83429879; 752857452; 238766841; 978943229; 828774229; 315690388; 5236022; 551643281; 816549539; 512594675; 425046241; 53734276; 60643739; 425132015; 136112188; 499601432; 749145606; 711034290; 474117764; 422654300; 237212879; 666325677; 197086238; 846541544; 955729386; 177142607; 902229762; 975424918; 766369249; 600735765; 68794718; 185587301; 213601629; 738363310; 267876906; 360306930; 706311362; 262572166; 290791118; 638795199; 923537830; 428878817; 380349249; 517184281; 120375917; 806992876; 85416194; 255247038; 315775360; 758011125; 615052859; 183686325; 45286046; 646542626; 506309248; 596333782; 93907682; 621617795; 975600598; 869977003; 990613788; 665118478; 996096644; 619269591; 36703269; 454033770; 183041358; 875586924; 217306106; 278000341; 874634320; 846739375; 549272169; 39076595; 587630029; 738256490; 913152035; 550116894; 803621473; 234756781; 885579622; 253033264; 730718933; 890503243; 51664053; 189938564; 164453357; 430349758; 341082149; 905123851; 80427495; 330473925; 746672134; 581346028; 977738204; 635895339; 341523009; 18672678; 158888267; 106705666; 63649010; 13177489; 54972767; 584223297; 285110575; 583389274; 66481704; 383356705; 161459987; 496600305; 46694042; 839794126; 238573723; 705282668; 988622700; 77126480; 515265757; 607007270; 694136485; 980020793; 150831022; 770288211; 491285241; 798498327; 631091303; 584910655; 571335942; 731767094; 223213805; 56088022; 25770126; 324137874; 63295411; 741746038; 419266821; 67460150; 28229419; 939439337; 714601278; 40139978; 423823391; 901059680; 328475141; 36156642; 250355469; 961392592; 462781539; 637526341; 344090057; 916185844; 183651464; 205203185; 971455377; 856497326; 336744985; 532478434; 264367611; 58501554; 627539219; 804777444; 533167441; 31060232; 923285366; 434848228; 630289945; 177904990; 128450120; 841430839; 532471787; 411500973; 721534577; 208813346; 536558046; 721336477; 603161192; 637504309; 816564701; 725041135; 806251230; 705205476; 906549518; 784519288; 532090027; 451176481; 460674371; 618563174; 721609986; 141878270; 673052789; 515791; 968578291; 402526783; 851400985; 252408899; 661119348; 935715814; 925652386; 794929695; 300847380; 637148471; 251422959; 917749400; 669390697; 84360616; 881319400; 137634208; 430927155; 544735213; 796152862; 988669447; 587919995; 19039231; 397243616; 619500214; 374368041; 212496618; 785751657; 504363999; 783675468; 58109062; 456527245; 176600067; 464746788; 539525636; 974120502; 2196361; 37168794; 211222428; 29633955; 972343608; 750300475; 647501541; 489705113; 144348236; 120376446; 909730108; 983576844; 42149344; 680026507; 95892552; 449201742; 867278203; 500257547; 4089930; 795996936; 465739826; 364873000; 21022783; 938338517; 98339645; 548134514; 862304392; 556986970; 667856343; 699275815; 559843375; 562202156; 826098030; 345037321; 412182719; 889780449; 767474432; 352124925; 615745022; 51162617; 887799392; 783990394; 286711663; 585978631; 585806699; 208142555; 558655100; 88758698; 116150230; 924604672; 528556035; 682108618; 725708053; 883638524; 645647220; 593510485; 263622806; 686572808; 279048222; 447250688; 87314483; 189461519; 332790448; 772047053; 406313632; 620176865; 228119742; 981298268; 797440753; 881387846; 614584531; 802612738; 267991741; 37712361; 395571909; 339497244; 694984929; 696289863; 126160646; 749156066; 22976806; 663820969; 950134578; 636192158; 959262446; 197675564; 738169283; 378566175; 948862079; 569140734; 758688332; 742834992; 481158719; 547150064; 134431771; 856609477; 402163950; 126008897; 107547931; 818983519; 333237909; 32924730; 606269395; 311085079; 19561707; 6883491; 125983504; 643263502; 202246112; 929631867; 990181199; 198920103; 67935200; 456461929; 661342053; 255853086; 648081906; 167509990; 345775625; 293184169; 444209811; 604512507; 262203682; 452373123; 942789896; 708072607; 626346892; 885653408; 801530006; 139089867; 121543754; 420357235; 73537338; 375902339; 57275413; 674386702; 46025213; 889221796; 857658248; 586092052; 564734638; 668525806; 364495279; 852395155; 305755518; 304351531; 832735978; 877789895; 202893935; 144206341; 696251467; 319143973; 102853250; 708663464; 860450204; 921030329; 493909114; 755003043; 108078960; 948496441; 672012318; 226070809; 353427011; 121340810; 374127294; 384605081; 298548862; 580062999; 810945908; 113262655; 663363470; 225878331; 921367243; 14382517; 819831429; 294536905; 588635511; 168375448; 9525521; 753271367; 610032231; 560123896; 763148844; 684025792; 77962271; 918931505; 355744878; 831892855; 648985177; 803778091; 210407200; 929023297; 547533179; 412466417; 768291780; 606181811; 402599451; 412799900; 997131631; 251863070; 429375386; 554118372; 833715861; 188293390; 941973115; 896282530; 57496181; 121553842; 375686988; 999926415; 17215707; 315717889; 216355359; 920118252; 407556569; 131675287; 426896629; 64710279; 652921475; 900833498; 13606274; 471408115; 50721889; 843130099; 141137647; 615287599; 40932991; 897865276; 376112091; 687312966; 245423264; 749281933; 843685580; 97935135; 639527844; 430279392; 708455214; 591047669; 302520341; 709213837; 694038547; 224060837; 655264550; 301607836; 212904604; 3884052; 861814789; 4784592; 231299353; 440622191; 407351114; 10503698; 86396702; 23538578; 889180678; 918583294; 95470673; 19484927; 417909621; 355941292; 24232175; 631574633; 479758383; 557590902; 793445162; 37787728; 922688287; 549670192; 633631310; 48213020; 71067311; 702788498; 330026801; 413489396; 683133832; 827862696; 98007386; 903349596; 322926898; 933443395; 769737275; 400159902; 595739964; 499066962; 567231962; 150068115; 784789477; 370617650; 693252060; 183333408; 939095699; 972844611; 167342180; 714206655; 886544898; 1455556; 589254699; 58537120; 438570954; 11209084; 475847982; 142498685; 73557718; 627398589; 206553537; 687716355; 847301650; 473744101; 843120033; 19379489; 280771805; 448674169; 95241233; 513535958; 454036505; 327947380; 880210638; 460007530; 546988618; 123829201; 18270041; 452220294; 541885669; 944880199; 428588781; 120315669; 471190856; 786786593; 856194551; 348126778; 380342816; 164608961; 730795284; 930965006; 845245064; 904852214; 893527134; 906986326; 523785804; 222840149; 783892429; 888511422; 486947195; 585948881; 390977015; 912782937; 882657496; 641458511; 2182664; 994608713; 226984087; 481617826; 452427783; 464618708; 549839623; 485178568; 251351929; 344142183; 155442059; 488414439; 231558947; 618101703; 689963756; 521385637; 864597551; 617858218; 631982323; 159356308; 274403415; 86088631; 454170895; 362081195; 450331481; 595207497; 981181397; 705070274; 224053613; 286775240; 315074568; 648006741; 6520361; 158787631; 290029351; 366531835; 77916290; 470868415; 95637030; 786297872; 563219913; 32615573; 884919680; 654306789; 893564745; 318701647; 314343125; 566458328; 482701992; 472185696; 705690178; 908205419; 11530383; 977620946; 819975038; 557804403; 725996256; 904800633; 548172214; 422550610; 887775374; 395512; 868684197; 913220175; 610441530; 127583213; 674563137; 823678458; 720028863; 561596866; 702101955; 121394322; 474314509; 243588271; 327927253; 416242016; 555175302; 544113817; 196775085; 887742060; 570082888; 118598072; 675768506; 697768796; 852765525; 669424629; 870156655; 750529409; 862262764; 708976068; 612876277; 401992190; 491308412; 317277754; 340993668; 684649909; 737992191; 258029929; 819323016; 265402524; 414693564; 993744023; 421324169; 733086219; 458622145; 531021768; 101345015; 442225410; 918298910; 282042538; 875955513; 546239252; 665661704; 693790070; 406507812; 578512137; 879105740; 812103902; 948277124; 507889546; 87264987; 34800054; 394635796; 443115580; 476044649; 733390552; 285800826; 561371571; 314194487; 300048184; 208464315; 216763853; 364794431; 298030456; 95218669; 231207071; 516112462; 78804304; 865634744; 367957084; 234827920; 474867620; 671238214; 197911; 412789466; 696299030; 25156169; 5447143; 338731591; 375390139; 572545564; 531580307; 565093887; 13761282; 435334146; 740078367; 389715368; 48541695; 215571355; 232322593; 912349142; 738517144; 20543258; 350230235; 940844497; 590219154; 643439487; 283346058; 134440434; 187530867; 304132303; 83662444; 524145582; 46268430; 159062440; 612951754; 141582956; 679559249; 73689098; 591757601; 301987971; 902239766; 140096873; 252017356; 238842671; 591800410; 666839758; 685467358; 819632954; 601592692; 771167431; 801001765; 81897725; 605424387; 329617460; 889143001; 881111552; 30064110; 456793820; 975392461; 353001409; 943116148; 701230963; 616407467; 766380498; 587154729; 247113623; 974584233; 687190427; 153600806; 781655452; 130971586; 619225130; 652031049; 661761192; 948795414; 845199039; 138911245; 210930409; 738604077; 717543997; 413226667; 945613147; 350837174; 934072425; 529397044; 647500284; 795419666; 274203168; 62495707; 312906335; 658415691; 77768248; 492147859; 250716728; 120160654; 621979850; 360882249; 93476096; 840623839; 811641377; 708480933; 666252336; 102283979; 87812208; 114231555; 540257313; 744171945; 490065820; 625620072; 506716954; 737994685; 357937987; 99869724; 147026068; 336962923; 236456743; 311607542; 560489322; 991508028; 605716349; 140990420; 407378104; 213312586; 82656624; 189463739; 5731979; 140102324; 431902365; 56614957; 294599981; 541502951; 861632250; 311081915; 645273935; 171886367; 690181795; 784649683; 375851590; 252304302; 380304859; 52447602; 73667891; 527609408; 210950139; 791384022; 39393756; 230190173; 769165344; 782191266; 642448806; 833549710; 782531703; 374289096; 83343495; 93592022; 916492590; 42710083; 816936587; 786913724; 197468671; 963577124; 106089943; 769446930; 348920124; 689418796; 364687425; 891842141; 670056239; 255704990; 465712365; 510954833; 317912881; 588164607; 241239926; 256228942; 363091051; 117349979; 106589229; 959879510; 607175617; 750871820; 681895565; 351550441; 987146293; 887609297; 282501485; 898892874; 185450283; 99697056; 30294797; 136598652; 537047867; 550878310; 339901619; 477460868; 10729790; 394685146; 726108357; 943532504; 929009556; 502679933; 869592965; 637974769; 548674695; 719924496; 613167090; 818916069; 245273461; 283623624; 248072197; 656662180; 745586841; 584706763; 731716309; 313320833; 913739400; 487475296; 227995422; 79156108; 652069794; 3172073; 965758713; 919633694; 751077945; 580449469; 241945912; 637564013; 760725186; 563302955; 109183201; 298445679; 713480683; 950042190; 361688964; 297481825; 250583620; 937041551; 624869484; 758598598; 697399595; 1385588; 805460725; 306196234; 419954557; 36557777; 329026922; 40467033; 176964037; 802663755; 15296884; 957896499; 400714248; 216206125; 249878971; 131677032; 72987513; 347455256; 213311662; 30308431; 680771237; 916173334; 53781588; 547932843; 22262943; 263644108; 96670307; 704320194; 163942363; 858654998; 334621594; 918062814; 84251369; 9369413; 19273284; 871556009; 459587124; 263391412; 767864360; 631134034; 73069113; 325136605; 346837401; 762601072; 660648328; 352643281; 750457680; 292033786; 881931661; 753504161; 214175086; 91052730; 886076345; 577362205; 842149426; 637563289; 325997338; 671741851; 170342510; 544542286; 501442092; 152441070; 79428150; 688922994; 716888822; 420040656; 88715784; 842525203; 871990951; 444240926; 682670752; 846093540; 545950739; 412683135; 439541776; 4851908; 950600058; 530207868; 419036588; 36653749; 463591779; 973671187; 921624113; 932912577; 682160478; 851171297; 201861393; 129660461; 38339418; 243967220; 691480732; 890461712; 977903067; 827782698; 357429804; 805718637; 797892456; 332052539; 497155475; 234195235; 340986004; 897086314; 452570302; 215617717; 112285923; 387152042; 668376141; 538434571; 87634957; 171973752; 338488519; 370531032; 429781396; 618623738; 535377288; 244843111; 521919083; 7447394; 334514969; 108824143; 783054035; 245777708; 667372913; 638285106; 252530952; 654646527; 663984502; 857205351; 859467863; 23886735; 165600923; 83920770; 406716563; 711878910; 827448676; 444580221; 324111205; 880239244; 450807840; 277737905; 20893920; 151189533; 531804197; 577840878; 256734677; 342342598; 401725842; 856615115; 654923124; 360324440; 282541394; 664205132; 144335924; 671953863; 316879067; 200159232; 762154536; 519388119; 682213778; 205002054; 97677542; 16796509; 698215181; 77195979; 470190262; 815499275; 313843106; 205668302; 845658570; 723443721; 945832678; 727296173; 371513148; 461334404; 717004840; 100029103; 624152712; 455890673; 897060547; 442157290; 803068423; 109227984; 689108929; 477705957; 400582127; 889817038; 999680862; 874201937; 516920021; 358554849; 575406928; 661804907; 992723925; 392211939; 155268499; 531363776; 331863300; 643297813; 260233764; 232070007; 255729173; 622813264; 352834344; 370242479; 643642; 643660040; 814818480; 996425396; 403995234; 857454812; 46666344; 19524452; 805948940; 952132022; 311048956; 526071714; 770815862; 695587213; 449125589; 787475708; 734082522; 455641403; 625139490; 735204605; 220539184; 130074045; 805806644; 429483844; 499516371; 842408312; 499637766; 856063092; 323933094; 40487406; 773610069; 860899059; 230175531; 549526691; 257940658; 756051940; 621160632; 217437664; 13775178; 862088391; 160700990; 928036891; 501778234; 173606308; 112484109; 584967916; 575138216; 776935528; 425751986; 143279317; 427359312; 577342251; 324032283; 35482446; 848424975; 522258889; 525009391; 741428874; 552132499; 437335882; 253389060; 237601148; 97590597; 500823408; 151714685; 487768801; 408489080; 331860861; 995435458; 249887106; 492665635; 609098539; 388666959; 493833014; 406459155; 403207474; 735913372; 217891377; 137371754; 529956695; 23004729; 902311705; 89196574; 60599627; 373542083; 427288343; 148549200; 210212732; 472007085; 712452021; 972060779; 627571000; 591984325; 551780067; 34464828; 991232620; 366971725; 622709300; 668622028; 500625283; 384917104; 394013513; 920899262; 440731629; 217838160; 871869566; 185156805; 541026408; 867420795; 6620250; 711649462; 742522548; 646115660; 539204740; 573538416; 924798055; 994665597; 414773757; 572111570; 154909645; 413314785; 329315869; 591865914; 254116729; 56676250; 628665844; 107387630; 778249699; 542685621; 516878647; 484105992; 998041013; 192711184; 99460992; 557352849; 494861291; 336966251; 584300089; 946080491; 359877482; 972906416; 768483523; 74293108; 709894029; 660015618; 514256810; 134588350; 674146954; 298526818; 122889682; 851486380; 436397841; 41537415; 721956612; 685157069; 971467668; 923922426; 857365148; 159527789; 735423586; 309475237; 283276752; 361449606; 923872419; 804072893; 12703812; 917624553; 258859398; 417007768; 515926605; 426611673; 293191967; 116757510; 372424866; 356599821; 87802494; 723876547; 853946071; 698048166; 407514682; 381346139; 370148448; 208860644; 661972270; 7631392; 255375050; 627543215; 639909695; 953910083; 723914217; 671932709; 137095411; 258020750; 117282674; 956834540; 458802237; 256413569; 34218426; 887315476; 84579637; 443096283; 133835676; 407074992; 294381781; 978005474; 683160004; 956086699; 388277870; 670806584; 725666613; 510941979; 123288378; 106437580; 187898241; 535899836; 63837225; 238681181; 488358639; 837266185; 473745047; 566331135; 227938069; 159446756; 624867784; 778505295; 271745746; 843044456; 434901823; 779570320; 861385738; 484933786; 426269642; 342902819; 362223435; 578998592; 409247285; 737617979; 97927684; 859137900; 712375937; 509775710; 935219591; 270807157; 223523183; 128541079; 145995033; 128679164; 343098737; 810411899; 226760522; 272469946; 670666023; 337984609; 171962628; 443043876; 596234885; 167380992; 791325717; 357548777; 245978250; 432603290; 645531952; 893757789; 206829590; 785225367; 848089920; 666000362; 548118134; 735182591; 691479391; 756163493; 214493644; 281639567; 799388086; 742784703; 861699740; 923527420; 370382526; 626243493; 499012837; 842969844; 945654928; 803306724; 970146945; 180473430; 525461115; 867098302; 814334512; 17950786; 531283545; 586952674; 457828710; 6303463; 179573409; 119180585; 133545076; 882779623; 876922109; 939992692; 76367727; 46392593; 136748952; 437952891; 803326925; 724603842; 408884911; 629181773; 735422731; 775936934; 511686925; 339432922; 71980793; 92337480; 936459234; 172596610; 331125628; 846052132; 971661733; 222513475; 874646556; 733211487; 493533347; 916661983; 6234298; 426953771; 930437366; 310069624; 572772580; 468658316; 831326858; 17807353; 268832964; 800766245; 797680061; 451947165; 629552296; 484098778; 682233184; 783032231; 522497756; 333201045; 430030824; 869674954; 934405129; 353695631; 408523480; 42120626; 850286753; 635120488; 173418809; 55090537; 221966138; 53640771; 594729034; 690454273; 720902570; 613905479; 911155794; 499125460; 830506043; 717559942; 857982224; 177852420; 752002100; 672092476; 111452721; 750504363; 625813062; 134135546; 486770612; 487178704; 172857836; 228962956; 510382936; 28869933; 135047273; 123603613; 618821730; 836614346; 562284171; 669390851; 258429715; 111618682; 907647146; 55868476; 692294543; 266144336; 805531912; 823281732; 178395080; 947546472; 719310330; 882464072; 423253260; 489904736; 747775470; 308013537; 18067916; 804613582; 657161369; 476710557; 972721949; 166791831; 77788604; 910287421; 73806271; 904825609; 65726586; 833275190; 314070097; 776612819; 673105969; 128028511; 141038747; 502908002; 216261632; 437761987; 281613477; 240661756; 629547358; 310382054; 813395932; 25106105; 459484006; 772017673; 819185806; 799343864; 290217771; 530642280; 446170254; 86880299; 494090809; 5529173; 59037265; 722181576; 474054662; 890388297; 187603474; 708631987; 296634762; 323732703; 441510474; 531925395; 413667481; 8130239; 82949621; 122254017; 505703677; 173826147; 652211269; 224882654; 744691815; 111489527; 393158505; 312587464; 308556464; 730094442; 204851902; 436127127; 645218235; 808751948; 873664179; 57399696; 339589318; 74862241; 517766174; 717226417; 518470300; 418418262; 184289171; 947307320; 291737747; 319095893; 759875535; 765951477; 908772535; 501345951; 90518298; 451696862; 434509180; 109570056; 342134865; 578469742; 636132282; 24917896; 950996074; 222104618; 186442741; 602743056; 619172466; 389518718; 134794099; 519401811; 569068839; 504226539; 827578595; 122380983; 906308778; 187114948; 668064372; 683272235; 31323124; 19054753; 973413119; 140659418; 371591845; 85452784; 635741625; 820566074; 522855192; 373678247; 299441975; 760643921; 292545509; 421738045; 634784980; 967750348; 526220142; 785495639; 483508149; 912652588; 67214985; 310952145; 248780061; 161554277; 311733629; 733489223; 307554410; 227423316; 416116587; 410475564; 288850260; 733833234; 451493567; 990627054; 500407468; 678537361; 255554749; 715888460; 252194861; 909408253; 860631398; 64874418; 878022956; 724825210; 954738995; 439348997; 831597143; 454922377; 212654997; 759570; 723311351; 131197009; 664606273; 895365655; 157510762; 775378642; 114524747; 370252969; 569455678; 517036829; 885017461; 866212222; 717798387; 479731361; 92276538; 741333894; 995355301; 451379494; 882088419; 705279707; 217021834; 116753174; 469282918; 294399813; 48194704; 15307114; 555296817; 149986660; 988378941; 326012774; 987107498; 154821470; 897937775; 360215862; 523867796; 515805536; 992915995; 504190684; 278883547; 267133893; 611220371; 626162839; 289214463; 207263544; 21921778; 920850022; 454415038; 109756135; 699877872; 697116451; 401911980; 777032384; 985452430; 382089998; 138462226; 989307716; 286610409; 701863534; 272441664; 474857990; 903139143; 667779314; 71136163; 816509900; 775846007; 677444449; 325479799; 338661137; 781499098; 872121463; 892227029; 130849340; 903290512; 551229024; 835050421; 925955070; 162960301; 705799242; 758872074; 489660366; 480135656; 538751334; 521528696; 396996424; 839910942; 963233502; 324738329; 559067898; 655057954; 812265702; 53950299; 599022071; 726775209; 739666441; 385263780; 875426269; 349448739; 292939654; 740813083; 763017916; 966610396; 235396534; 345953253; 21122814; 152347089; 281145934; 451233673; 915769204; 222249966; 663202679; 767985340; 171098894; 883058722; 880418520; 733343915; 288507051; 853643356; 125523625; 525155198; 597991; 303719826; 740239895; 284708958; 992343595; 91881470; 298016169; 350384620; 359213832; 697549611; 944174670; 552275067; 810661269; 882244626; 614146217; 464310826; 261819603; 411901237; 381011098; 700256932; 39975463; 725630177; 771044779; 472725591; 48442435; 739904486; 434255617; 26881058; 727070626; 989782361; 959544863; 841092477; 783693910; 846552889; 4971498; 649132079; 912347877; 421656595; 865071251; 302100273; 379708133; 602958695; 915263198; 930383775; 216864065; 93430322; 69430195; 356915364; 850018899; 240905838; 314408532; 131906928; 702117465; 88415019; 701965936; 336837718; 210940720; 701964121; 695379034; 991094537; 562792449; 27322845; 962950752; 272287919; 897985566; 432304440; 576567349; 905712256; 431716057; 387607587; 691748730; 707612389; 508209647; 38044283; 233804943; 7626539; 336354874; 753389637; 806882826; 115198018; 898017994; 405643696; 680486528; 618520395; 277887238; 626974844; 312116083; 853862213; 818073820; 774711033; 464849194; 964438463; 40501391; 537224568; 6022963; 900721565; 216681209; 745418864; 522296151; 785134800; 983221473; 944163245; 838108835; 217688309; 731234913; 96702736; 119771112; 95717056; 295197810; 344753144; 259736236; 560061377; 774148425; 989732269; 195570326; 321622502; 693526359; 321102851; 54817321; 754864168; 538599992; 320395341; 632494815; 383976558; 455957246; 621703228; 209621412; 452001247; 410792984; 771858854; 825721751; 7906944; 197009266; 777964645; 542078297; 663280456; 577087983; 642068517; 559654110; 486229459; 788516331; 497690196; 254306652; 645524793; 645894391; 662575747; 656472683; 21752048; 661880902; 861346874; 442194253; 906291022; 244766293; 712383311; 939911139; 938221742; 522341582; 340443487; 884121741; 222124929; 594794702; 699422441; 620599897; 946520662; 403085482; 919405131; 990824065; 967217835; 950773349; 127642454; 622330563; 89626190; 729536034; 694830010; 353261694; 956002349; 195367552; 572798073; 741149140; 726082262; 729994675; 313532900; 246802923; 737618489; 746522255; 493381615; 812640286; 815385220; 422902891; 44470188; 140303431; 517009008; 830664058; 87393405; 121940457; 80538188; 239846785; 39284265; 359250248; 359317437; 533759100; 667837736; 820122622; 333959643; 997504658; 901740026; 571006131; 145853815; 176517262; 420160662; 29299797; 729392233; 161524156; 597633823; 239435335; 597868529; 460542119; 361117790; 319155827; 121360617; 536868982; 462210240; 429589411; 78449619; 113035797; 99602065; 19138309; 209802369; 195102206; 268023867; 201721637; 777522735; 407015514; 164074996; 724955725; 618351933; 914455767; 538314180; 691917778; 258874392; 399758611; 241304507; 187200022; 310795325; 190987541; 81126699; 572935573; 131085516; 319180750; 56379446; 873339119; 172205536; 219619010; 104801832; 632696598; 818793892; 521927635; 610924859; 563932571; 106914467; 47369864; 51392109; 286628834; 415527984; 474546165; 404538676; 719722748; 680183541; 107451518; 910764238; 356293529; 211900596; 683936545; 436701331; 700305542; 721765147; 956127743; 962090723; 400095954; 473305511; 730976536; 579156990; 548245596; 319729880; 22006638; 631146282; 534409814; 518966614; 707692314; 162463571; 461586460; 638667896; 534769546; 483942380; 391779352; 542697086; 670333620; 54276904; 684068150; 982538689; 832691929; 938043726; 986811857; 76932318; 404429816; 243678551; 834215626; 154186605; 854971665; 672247517; 793173783; 873179570; 490534907; 494871306; 490491941; 824664384; 68612686; 856603846; 663752611; 603851212; 142143587; 647084914; 820937700; 393535803; 563712680; 751352907; 866554800; 746512419; 818642943; 746130168; 147131514; 720611436; 895140563; 701608295; 761698125; 419364201; 38622472; 635250190; 812079944; 528170346; 796742183; 629000690; 840930530; 990755987; 225717945; 6096473; 107166464; 587159469; 940452748; 683502454; 284718220; 638888120; 986823629; 424621738; 286002502; 923886755; 837601440; 436479720; 883321931; 212400077; 84343811; 594433398; 232602972; 411706845; 58239013; 960124222; 715270869; 337439664; 851855818; 146467174; 733838816; 86933039; 857499178; 94926064; 421682230; 633202201; 586448668; 270788634; 885799901; 267143807; 284771917; 623054728; 819852752; 322668552; 472630841; 126023343; 733512885; 57006572; 472185220; 848916436; 586372736; 140586999; 100798050; 727668954; 304781355; 18286096; 83688457; 855581148; 276643748; 555591199; 75193990; 220356710; 484516442; 487322364; 232321239; 314409304; 424888664; 444855104; 718014097; 295878006; 507162235; 145459265; 108303652; 492402948; 831914635; 110040502; 325976105; 285040187; 861443256; 186388050; 794170164; 735769834; 853375164; 899352049; 184897007; 51207762; 389041049; 668719878; 491722806; 672050722; 225539449; 48370819; 778965215; 761196731; 564448201; 287102539; 991518446; 555709102; 238514273; 126468640; 346637080; 640342; 876255496; 227778411; 887086122; 951642312; 658383965; 387567857; 701017358; 96133025; 526442193; 39363286; 654843532; 932019066; 52791620; 289899806; 132492939; 378474892; 853108611; 10536789; 887354348; 100392780; 29172133; 964463816; 941380131; 372593929; 328685842; 514932337; 239580185; 582771077; 188679585; 244314258; 883214; 882029049; 136229142; 440181293; 659684598; 345207451; 209837013; 165831311; 367539369; 510946714; 97264874; 84792435; 489421617; 947876694; 345981841; 814750774; 498751363; 509812584; 176056844; 199384022; 377438809; 71734298; 458550537; 162216822; 846234563; 32083519; 561540687; 271450347; 573760913; 23054491; 486551866; 708176113; 545054940; 730303868; 946752911; 898097592; 801980503; 193803535; 738062025; 132249392; 845013165; 89245132; 836561109; 836684708; 87722634; 823059794; 376055479; 436437778; 950371137; 479754188; 440570680; 368434694; 355851500; 417129157; 333004439; 875606246; 128827282; 905861252; 749464542; 976692161; 856737283; 224337812; 321595139; 971014074; 388952801; 537116131; 650509354; 282507516; 775063621; 211766803; 677911548; 924028240; 205277205; 889867325; 857192005; 96214936; 639575729; 177223155; 860484440; 645789872; 588959811; 465008050; 649468058; 12783376; 49565888; 377503550; 704130162; 752625437; 36333350; 134600366; 647579316; 827565862; 788096689; 495749788; 790383012; 66298270; 80186741; 701730185; 476827737; 344290233; 423828995; 734071423; 747509500; 968434707; 229471079; 866633212; 755426237; 396775694; 762479393; 924205838; 893388905; 374315730; 937381609; 946789913; 22422793; 598209905; 441381147; 100508387; 420209568; 493380103; 538598814; 410706676; 857254058; 823212159; 281271258; 124595404; 794941896; 225709888; 133894881; 202094706; 779551548; 36687403; 343002359; 202938297; 47845821; 439497238; 113534549; 993836179; 381605869; 38287682; 638144034; 384961915; 625952374; 895803110; 939552350; 931989380; 594756238; 86896043; 4476371; 200620444; 273381922; 515198858; 967516245; 344172438; 669670402; 593484157; 938208898; 660610991; 183374408; 999869451; 838880333; 114368650; 438722497; 169685040; 398284527; 296928632; 266426420; 712039823; 570349110; 805392418; 953868370; 834566154; 93927377; 18654787; 931358769; 608415607; 893858812; 875978175; 987823105; 622060480; 387840395; 444764206; 840340618; 821888958; 948029829; 764348226; 856915849; 660607827; 711365348; 249888296; 459931212; 631587405; 887995022; 262605203; 126390792; 378891836; 718555690; 11387043; 524791519; 912584618; 986664869; 855133424; 986137719; 814660128; 712348464; 773543533; 199784558; 453624286; 823724949; 654197057; 575805209; 22465468; 560351200; 934205288; 902646505; 598710569; 102963922; 108726978; 133179127; 731774159; 30999031; 14608324; 217960601; 567814349; 86840009; 410544741; 556072815; 726372795; 740142077; 768395414; 485795606; 662145899; 566973373; 324023470; 984424679; 571551177; 754189879; 509539432; 370381635; 12221226; 342618407; 588241548; 128470319; 787298456; 142142554; 771519326; 531906079; 606219804; 699919029; 790896276; 163628536; 131916199; 131582796; 551725110; 162756141; 323012598; 710406341; 831649752; 824110803; 200001609; 473065974; 118626445; 715344412; 395919787; 554460369; 556583161; 236370746; 173144909; 643915931; 24822291; 558466471; 129206596; 859204679; 886078021; 904196308; 848492402; 765262631; 399193745; 779369707; 899540028; 107366087; 896288149; 989716692; 458470929; 591824917; 171639004; 816235581; 410501137; 10328734; 258508522; 258928093; 987835603; 82622933; 37251170; 710768498; 327060689; 604132067; 744821382; 182543560; 701211587; 784440865; 872099873; 728661974; 756055088; 895123637; 583502856; 154135621; 375846676; 929700577; 195312775; 836243218; 893402969; 499316964; 384331403; 91739242; 230511450; 234908546; 951194191; 685463719; 672369015; 8591732; 421606504; 994164273; 231642760; 739183363; 291333220; 649452581; 325278615; 299816826; 298496222; 331240338; 716064635; 800157801; 924900761; 100002861; 850824126; 251274881; 810573405; 772944834; 387314549; 197129060; 291398181; 437283361; 426709266; 126872501; 256070220; 413878008; 794100285; 541979393; 562577971; 804554804; 858904420; 263995678; 440219778; 840227854; 857836140; 801441747; 330010659; 267679411; 196602178; 914064380; 648797638; 83691150; 973221213; 525930113; 710788644; 588904712; 454568806; 367880697; 734278103; 235244665; 881516791; 63308297; 328311799; 712099517; 640484167; 407757637; 423576467; 198213428; 657369589; 157008730; 694462989; 38016203; 664283743; 566265230; 957552147; 585469781; 878729925; 123283897; 371401540; 353589668; 783681170; 663104433; 380214533; 685206697; 273440283; 594320771; 85957129; 96311794; 875836702; 204154993; 666386391; 715472589; 913017246; 973484183; 574241592; 528617626; 463226868; 588065289; 600858743; 342557678; 396484004; 639677541; 915983874; 396242834; 802236180; 662100045; 994717362; 829359929; 82624681; 359278287; 980231182; 603373215; 782935958; 239455058; 687375205; 345703364; 35271873; 326827742; 542691403; 303286372; 923124583; 232711794; 861915624; 782685470; 443231754; 616253683; 40615286; 382408637; 775481427; 279593697; 334618563; 853367860; 950103033; 863858747; 670946915; 734062146; 990444469; 421594302; 529840467; 401180143; 695600764; 544860842; 614790974; 765564258; 483726591; 842737082; 577368052; 392709369; 204395246; 549502105; 305667103; 158963730; 893378081; 58789146; 310625959; 499555778; 93587; 574765447; 671214934; 510997651; 267576315; 16363114; 353452381; 318290623; 935422310; 990033076; 367697743; 206472232; 765782274; 174010513; 403849897; 85032655; 631339718; 315373280; 710924405; 640007919; 813317471; 669341530; 135270586; 27307807; 409610407; 886372765; 244880853; 635611423; 332734445; 121579684; 398985077; 814386065; 850271684; 983882324; 3113426; 748030310; 324921381; 122959497; 280005488; 425363359; 29459623; 111319179; 10207115; 558634318; 683913364; 841138938; 632234357; 249857093; 923951877; 362530454; 13774722; 699741895; 272465161; 973591919; 759784245; 75535176; 477486088; 582484229; 817467152; 564487475; 622520423; 603779404; 771109959; 27467153; 636290716; 823043340; 875427909; 418298615; 723236483; 72724371; 81905821; 793670717; 80101737; 503839691; 620046967; 508915286; 930557011; 723991493; 748542756; 393109702; 167755067; 428292515; 969108653; 464656327; 162961498; 303433350; 75208470; 407453106; 853502034; 875066993; 296100677; 777780093; 437372145; 924434051; 496902231; 102145325; 745480032; 553119587; 409946069; 348286530; 945847267; 541433023; 555134290; 249295696; 354599092; 148276785; 427132965; 747835349; 169595789; 961791109; 849728251; 668601919; 297300702; 506122006; 377228176; 901899043; 736088603; 687100763; 797502091; 63248853; 95293009; 248019177; 56897017; 32918564; 658306706; 321266059; 982220756; 332594198; 232946594; 464214519; 850548580; 642831215; 488088741; 973109032; 333728429; 86837813; 204155692; 99035314; 289403700; 617798760; 867292180; 401633552; 10632021; 395255280; 706904397; 445627590; 221611275; 732963760; 692262107; 685086818; 534556438; 415244651; 911783420; 990334226; 322811485; 781278460; 847438890; 500173071; 958723401; 819251475; 560830353; 112270609; 252806452; 186938096; 584463321; 276773482; 134538236; 17648178; 439351309; 147192221; 216621940; 936112052; 278339961; 32947708; 39039732; 278324860; 271558070; 754528190; 517773187; 792034230; 957275304; 24327563; 804601988; 983883678; 851433097; 536650674; 170055632; 389731590; 890049220; 744001240; 211412551; 948400959; 705431614; 564351180; 283841338; 775637162; 316498145; 140443180; 626558016; 700063619; 528065930; 765119219; 34570267; 36300001; 804044889; 418247823; 800837613; 632648533; 881901307; 102088175; 439124161; 216603347; 213459302; 22418429; 293020113; 772818769; 632749761; 12919466; 613498789; 962722463; 34761328; 261989538; 914102928; 963111010; 976672026; 968699190; 412451737; 342100374; 774461202; 405722125; 820147651; 923945413; 878990251; 840979183; 101722750; 401255939; 264072912; 94987716; 289778809; 668898693; 116779991; 907669464; 428226916; 244306465; 135796586; 322135415; 771292865; 475976687; 474146964; 178565543; 915054248; 88479425; 196138115; 645579002; 426508394; 311937265; 1633321; 548012166; 938555654; 143060254; 558332504; 65239750; 106784502; 360948834; 759828407; 816675686; 243295912; 885847243; 384693362; 879762178; 918540178; 98439086; 493871618; 723796105; 567832412; 141891609; 712901035; 579161618; 378623324; 677622264; 458535377; 367843870; 613453594; 364666621; 508929549; 190109504; 103126716; 406873840; 710221469; 569007468; 632388642; 415583820; 512922108; 337560010; 238585124; 481503504; 197800144; 949547444; 438926075; 181903280; 352515548; 987197422; 741903900; 723255722; 2877815; 528549205; 253181555; 957453774; 976059202; 676526638; 99427773; 730067617; 826489985; 419985441; 993960862; 889003320; 143687818; 130326880; 860958948; 9531557; 72293840; 689443177; 650946846; 361514173; 329036014; 917344491; 985959228; 352715460; 796313073; 821889896; 308955665; 464672140; 209084846; 241899601; 998539171; 98412887; 251424471; 468111615; 320010255; 609068161; 494015543; 137704139; 193417614; 875643299; 439235546; 321759095; 651253897; 29895155; 33827110; 202891541; 175584663; 843457348; 823919403; 621105621; 708796051; 73063292; 647111168; 752337850; 764854109; 232573403; 956840575; 197859504; 687414367; 262838322; 255739363; 543681389; 848006483; 716450898; 267196919; 921445195; 849639244; 908285621; 670001007; 380988952; 231364478; 293366893; 213770150; 126724603; 333464015; 945020444; 3096392; 765322298; 437165816; 982022454; 398670322; 260441940; 62744703; 13844313; 302556302; 902227738; 597992339; 692820955; 828503622; 24136669; 437260131; 165061996; 27821333; 611061557; 115770802; 807628609; 147138930; 966818012; 363401728; 989362491; 141653290; 756624585; 405880717; 787045487; 130113089; 247018620; 816505780; 737978909; 138336556; 19717666; 851511778; 160656185; 743001292; 673580770; 832978922; 11679580; 841551469; 73567220; 264905736; 410986849; 46768355; 642265346; 513821785; 303874330; 900319389; 956699296; 413136022; 366058272; 346302727; 600987145; 50896235; 82482047; 612744378; 823383903; 535600152; 714443084; 616206374; 82818359; 538416320; 61124843; 41823917; 208399872; 356909220; 129307256; 620653895; 923422236; 944595885; 341513983; 311645837; 815635289; 870990779; 700688754; 647033435; 570441673; 663758090; 665375270; 360631941; 645749245; 915737500; 470170472; 644878331; 132805531; 38635541; 964505155; 637535879; 871247824; 766945008; 643863409; 808325863; 227118845; 932255828; 943329173; 567995345; 481130098; 559543763; 363635008; 290771177; 385652410; 756996880; 25810468; 179334639; 74200409; 910058875; 588965933; 199050458; 670859976; 106777387; 258540389; 849411233; 902123762; 322943576; 954663564; 678372921; 387818349; 24530465; 134111767; 827319103; 401353590; 121266292; 858090697; 235170497; 843634116; 372269721; 141622814; 142626893; 553812724; 711642722; 676524264; 982213974; 652356647; 429837371; 952839867; 898578837; 773589495; 485405977; 307833730; 830424506; 416437242; 324420751; 648010923; 97165472; 727812363; 635612863; 223724830; 928122200; 437044460; 19049119; 624502997; 220946006; 679294013; 759692275; 189451026; 829035054; 188725819; 389567777; 61574997; 456002731; 773435353; 240449927; 972808418; 440971660; 767437680; 112245054; 864677117; 760122107; 656037047; 203076124; 550222476; 8715494; 712745129; 126585446; 361142130; 781688257; 729539971; 868681643; 86902866; 886040633; 91528540; 493082944; 691102501; 524577136; 204392477; 433056474; 74459052; 794147767; 613278827; 69520917; 935990524; 956540907; 956950731; 961084876; 142346982; 868203937; 39915912; 866668509; 302501964; 550108044; 417345932; 835547681; 10574508; 286723556; 118226749; 213298184; 459442082; 493577317; 183184897; 13183631; 749965073; 16082113; 704078635; 297181893; 379138617; 207359536; 826645876; 160821168; 206549932; 213413447; 762206029; 794330097; 805900423; 791875535; 851788657; 473369390; 5019590; 766933340; 592408319; 503886946; 273695337; 130022626; 234453069; 581380037; 785596724; 461851245; 941518314; 146726985; 764940696; 721439023; 596489130; 825889273; 305366197; 241803410; 416147553; 953247016; 711594447; 449543843; 798036064; 192023192; 161693853; 431053120; 144989949; 232887852; 93338230; 928517143; 227351087; 871685720; 875674283; 957396949; 768920881; 873353714; 260103103; 589874921; 413934249; 175884174; 148648425; 249357998; 883112264; 402875393; 199454803; 894615630; 729249012; 926116502; 309860028; 532011155; 583013444; 586875001; 204813871; 301522698; 732717169; 993064903; 759209899; 479643634; 631481496; 234715512; 180084174; 608959402; 124290661; 730828788; 971644280; 868303749; 494584497; 899957718; 832301033; 224459849; 599465199; 474852188; 772018238; 708442134; 311090502; 249904010; 915425304; 702722924; 703392253; 766122909; 671059791; 733426629; 603952706; 536633193; 234839651; 572606725; 265366205; 89410873; 891504482; 177470507; 420368832; 830226339; 43701758; 10436046; 741302837; 660793760; 711123687; 866107266; 466192773; 696571436; 383649299; 253162522; 846658159; 61824447; 678542978; 774230302; 369452187; 106245723; 235179563; 899912525; 657775133; 494999314; 250197993; 8780966; 473470138; 832921224; 664701193; 256885685; 597427809; 434829006; 952107675; 619632964; 614730157; 21508788; 222286935; 669595047; 22492463; 33480479; 140641744; 162815769; 418484294; 540957252; 113067229; 771625998; 247335022; 618158390; 565959167; 566093190; 962413993; 438517582; 88101480; 94805432; 177350721; 789018538; 869721448; 636065980; 76491972; 526307758; 100116781; 564268252; 925456733; 206926031; 40117869; 567721441; 284129189; 595575218; 443113646; 331726952; 718368293; 626802014; 124245225; 438574704; 719213003; 186849335; 539673806; 843446924; 735758066; 682278629; 137731194; 377169539; 609136298; 793100953; 981360811; 666133274; 30994236; 28842307; 207178577; 596341800; 819841326; 9488778; 245407971; 657787493; 227895910; 945607323; 532889052; 294940995; 774757815; 552725875; 281147851; 8220609; 714020570; 827675104; 200957306; 70800236; 615154244; 214123452; 413607831; 435556643; 918856749; 590391206; 884421150; 935271868; 805484798; 759989465; 351776455; 396635311; 315833226; 75761736; 233800131; 882040674; 595215391; 340483382; 94784085; 119781751; 982980471; 342494288; 471055246; 659487834; 159911711; 997905463; 118342457; 566877198; 813572085; 972898879; 101564965; 855611308; 811558467; 191082073; 698938287; 469590044; 237550595; 425138348; 857880945; 328845580; 709700434; 885793286; 776214353; 884264611; 581974400; 845060807; 648611268; 228545752; 384310795; 51851221; 601950025; 233179272; 13972242; 380141707; 6161991; 729817051; 468968682; 262923971; 344768907; 808731440; 312272615; 791053049; 928026969; 270430627; 613410777; 297116191; 934872535; 614359616; 351748332; 34841598; 204096049; 248818011; 483627223; 686981747; 64851789; 30355940; 107340628; 713492991; 475945043; 943762379; 51470488; 274617816; 918434326; 967539906; 9960391; 647096709; 870671695; 284036824; 195256249; 802360310; 758747265; 84409471; 472091497; 845021082; 746556848; 494710543; 3183234; 337465251; 145568610; 130817388; 386011207; 502690292; 323753213; 317727037; 759213248; 221248475; 495444814; 973506433; 617391151; 53292746; 381593192; 385035739; 138361640; 939912136; 362747712; 319290219; 51632964; 351333241; 99398118; 64384543; 636796185; 825476017; 611703624; 329523055; 888972273; 142454668; 873213030; 564501373; 238274389; 886622760; 991038296; 471327572; 288673186; 164481026; 294313334; 174631922; 958015244; 727784516; 355093404; 222039741; 676260336; 361087302; 560050763; 902797717; 306106009; 699868183; 169561723; 800517245; 152145578; 284015561; 532140528; 972681274; 369044568; 486320429; 820085736; 868329339; 708301963; 340712138; 853232939; 154792383; 355141670; 205267283; 98767705; 166824770; 794836594; 784388300; 317787271; 449795530; 606270852; 676811270; 355100151; 675298964; 319932367; 3979637; 5703240; 52575838; 915175672; 514124531; 996131467; 760613483; 721904279; 344509203; 437366028; 750455012; 281392524; 122965627; 626806845; 660931454; 566092012; 160922470; 749171113; 584572733; 706287283; 317791907; 938848431; 19507816; 970678483; 229685118; 338407941; 345991741; 575385466; 321273206; 316449194; 967226837; 977508451; 518490768; 182401862; 414633146; 103831885; 286116213; 773170122; 979220704; 11668335; 116695346; 86406546; 876782082; 199170765; 310740665; 278652891; 76505865; 293591316; 97037405; 549369903; 416482327; 261746564; 751983301; 756217620; 691186984; 481440632; 359117273; 529813237; 212074815; 691873855; 196125323; 620577542; 594993428; 85274947; 709315039; 104293799; 52975829; 510720081; 394840919; 676048279; 644848292; 554980997; 580477762; 551079875; 229456353; 201801700; 37075847; 220811838; 572215069; 328594004; 691211279; 405920547; 668397732; 418068789; 660843325; 493885415; 435894513; 969861602; 587040858; 562180335; 883320047; 692110642; 836093524; 118919332; 532099825; 123002159; 748456994; 729855077; 485600793; 85739305; 106760944; 91573169; 182478393; 853471073; 96057820; 501608503; 100481816; 343452486; 987012275; 238280583; 796046819; 6799607; 351452566; 588850020; 840476369; 759970958; 113986758; 495724605; 762562777; 425528197; 376366658; 484617777; 337729756; 191588987; 68687597; 331526091; 83320812; 532064120; 125128897; 3043667; 543082567; 79777788; 130927166; 739478821; 138865336; 806975536; 138621330; 251565828; 439436118; 414009063; 166433384; 817531892; 187550248; 176381894; 59816427; 357001767; 690897445; 822325898; 635222664; 905173951; 449696052; 649724479; 498201941; 935856279; 829801070; 852444469; 566146561; 738151313; 581790790; 942701190; 745594872; 277123073; 688072662; 157919513; 86501526; 596012613; 188910883; 981607915; 396530858; 439997751; 960403243; 933862785; 992635975; 761896074; 778733943; 733474824; 382298750; 779547377; 379295984; 45222728; 793316156; 292535745; 321434795; 488320652; 355626767; 474355426; 622093108; 311376144; 775566901; 178865806; 103696549; 175422751; 399490598; 445605495; 34196418; 625157259; 415083907; 28837441; 839136302; 409548241; 816889953; 78357668; 866365289; 177313005; 840005311; 669068786; 131498735; 889248577; 631128643; 161254128; 666088113; 430687171; 44348150; 209139038; 606488053; 821079442; 348540942; 601287885; 825768861; 954622027; 749958021; 810599834; 998722234; 273289056; 721569461; 238785754; 48413915; 107475657; 739072347; 724892904; 873510742; 329425141; 240430917; 109467417; 847802570; 892853386; 547102090; 710270224; 182221766; 146426304; 368294472; 716696792; 556514132; 668723337; 653381559; 199082178; 926413589; 319010140; 805878740; 210869267; 463671604; 408297125; 934721348; 445715380; 99894889; 737223699; 428463935; 817580614; 875224484; 787391965; 969059647; 718229330; 109746605; 660257825; 878037691; 389395330; 45796366; 358199037; 98054020; 928727027; 168280246; 485224229; 578390674; 142367908; 501718703; 9401630; 116796145; 988017857; 506112986; 306097244; 898470902; 166183458; 768999962; 780785138; 667013109; 814864737; 835818540; 290800018; 106037850; 264023459; 897463435; 628791911; 529694880; 899900375; 663695687; 865946883; 878915422; 485792710; 351826191; 134112359; 878348318; 114712065; 818018079; 968145016; 496178166; 80716071; 938720158; 566898123; 669847307; 230180053; 142757050; 137513344; 53226811; 20442883; 829789748; 449692049; 750068432; 794437590; 324386234; 549335550; 973990640; 783478128; 694706156; 116633977; 668337867; 688446952; 372835633; 226789162; 456869793; 97554850; 893773806; 108074825; 564164181; 178508470; 712227058; 125289244; 994867594; 233853414; 440232357; 84974815; 561533947; 607789403; 120987194; 417569521; 503285453; 10880317; 281345536; 597115486; 192385710; 772715416; 239442142; 164333731; 884807963; 231798682; 672967463; 484726372; 581769052; 586564323; 631756829; 731181998; 764950027; 402703700; 127354818; 470204690; 994846084; 373795026; 92264081; 415204840; 881411154; 977904798; 481984660; 207443873; 88290977; 950900051; 37947971; 69024573; 636782454; 447190373; 178239953; 888687147; 625570485; 585137573; 142329450; 492085560; 298271257; 673314500; 532097678; 260884868; 943687504; 972571729; 748274253; 955841533; 752010386; 544429464; 951772021; 830591353; 498656168; 23263853; 749516158; 12045170; 331089984; 741735061; 428948340; 551381557; 236630221; 793436138; 550313991; 390865276; 340011346; 527426032; 520400887; 468673327; 237000480; 589350680; 214860372; 643224437; 962536790; 488786949; 788388956; 892681727; 506745922; 295887576; 537555350; 132800561; 985322876; 103300972; 71648553; 128547205; 539866012; 70099799; 711579141; 967926941; 339440667; 132252943; 277252463; 148025442; 548108280; 527597617; 42535793; 31258977; 74174931; 109792965; 107037503; 716766791; 485517670; 181700269; 806438393; 746799478; 520764254; 709714724; 211850824; 177713895; 482991363; 694296077; 787738655; 123700616; 311729819; 411112065; 15942643; 201675635; 970738039; 711337880; 159155692; 469675751; 617766105; 147550165; 488578782; 791050391; 432330780; 653785286; 793329611; 531132643; 450496914; 184262969; 332792930; 614932472; 927624316; 124633374; 79527425; 366307659; 299062641; 171374488; 168867464; 379674944; 125155061; 871337818; 240632290; 411568611; 772350020; 750592963; 749319616; 565069890; 596873409; 709234155; 536815400; 558985742; 260377938; 905917260; 193420815; 481324761; 671076974; 517455601; 479289658; 679832852; 963631567; 273197068; 55830928; 632432352; 605895131; 491860438; 485900635; 71047027; 94863671; 264082297; 437028972; 690023867; 916013230; 821676173; 329464422; 559503790; 528307949; 652297852; 758649300; 892475988; 250633016; 285504607; 882110628; 233004761; 214534060; 452952689; 79111233; 381950439; 588641544; 106192636; 892693489; 187673437; 443086879; 758881662; 952773454; 143116686; 846111356; 107535103; 81951122; 223889091; 758998983; 107524525; 497835783; 665148257; 586925035; 878975863; 25850366; 542238778; 952968198; 158374301; 441648776; 337785661; 587089523; 715722050; 796055367; 673200157; 577523035; 611832712; 828975481; 544370092; 545311972; 312832843; 99207442; 602282474; 319879729; 185105916; 177803722; 67049533; 667025608; 809408656; 939976331; 518455271; 904809040; 909163777; 754612459; 160373983; 539181344; 533041126; 832019095; 66527236; 270873372; 683622179; 935625122; 163194853; 289804769; 853451379; 443493417; 542638589; 651252362; 357591241; 159474172; 268992840; 932903171; 705794561; 688001549; 872560209; 290064271; 759346987; 395715810; 321303829; 408703412; 375491319; 600004402; 438041658; 930961556; 828926676; 307982855; 31389777; 337768288; 430021507; 306973005; 693366376; 992207899; 378621963; 836187606; 475799336; 493993922; 433232920; 22991301; 300533101; 465858331; 201933340; 967501590; 936659398; 470005291; 208807234; 663018523; 57414643; 337586488; 431917752; 968501753; 338848254; 230060941; 633477826; 731050864; 132387064; 899959768; 40698516; 776948639; 946753446; 481936211; 728144770; 787422130; 761355720; 259879643; 216203065; 297467818; 661216357; 9655133; 576511025; 563770208; 73597746; 72061578; 315630154; 526733930; 51626417; 496126778; 308193238; 375929374; 760447962; 618653219; 291625441; 329460712; 416581795; 283158260; 870097790; 514614428; 224932116; 962915407; 520351052; 802241052; 966446930; 506214030; 568740636; 716772968; 609103386; 315944256; 164697534; 510395834; 559790206; 79989442; 273490094; 823052610; 534883143; 299458513; 671590556; 968846677; 114676221; 18224900; 409913146; 498825903; 458790035; 230632046; 444947940; 448589158; 992042937; 385322313; 514458127; 97460724; 826972663; 493855246; 578538532; 928061498; 470878808; 440010370; 449345759; 86259978; 964464308; 147277355; 265393078; 40406366; 305638218; 591248296; 997227358; 286771748; 947054646; 443565614; 235324071; 173721889; 729551250; 204423269; 66669347; 977033711; 622285499; 837919406; 88086789; 352159772; 568300910; 661170440; 36651071; 655134502; 623327034; 888665391; 784626895; 651357368; 968678727; 407214940; 157022181; 165376421; 913025949; 797301149; 96788561; 391087087; 396735878; 41689546; 869159650; 453496001; 994736828; 683524301; 849381502; 887063964; 204473051; 977315162; 88961882; 140919961; 256590503; 447965640; 877618327; 30416040; 229674134; 655303579; 85856250; 95005140; 797259698; 249004397; 996526674; 981191427; 731009986; 226998032; 781474124; 898544461; 866610105; 509269067; 124085398; 952045983; 228723176; 588460743; 439147458; 362229570; 709013580; 809855695; 472408892; 185470235; 281079096; 286488182; 295529166; 978547497; 791749480; 704593938; 674028004; 981580788; 303235994; 748995582; 711074575; 86345645; 965270414; 27547641; 25772171; 373472897; 805840741; 277527583; 11831327; 42422636; 701398740; 233588261; 978410427; 164554369; 47865131; 133721005; 510708059; 641925024; 983286568; 539046058; 116898544; 476540228; 559944945; 623606611; 772571542; 78061068; 15366223; 310867771; 347371920; 259695860; 733123941; 32837418; 718390603; 687709109; 841281211; 455890362; 611861241; 841107927; 453578772; 659766434; 388669125; 185685897; 64626587; 882921891; 773756403; 99666528; 145152957; 272017312; 135892933; 601794234; 585770717; 503642500; 960223625; 587203750; 990923919; 681436120; 260005417; 958800543; 754720914; 110348614; 134377837; 376655269; 565988530; 863806482; 78558818; 993357517; 831107832; 280071336; 185298647; 235394731; 204011378; 998289498; 576774641; 946994567; 150068109; 37367480; 282285753; 384493376; 854819010; 944788498; 32302095; 750254343; 791286211; 418755359; 931015041; 342352971; 742201610; 905783633; 420363469; 4991115; 193141038; 27068657; 702536853; 532720851; 142789709; 370713794; 376726309; 926545806; 817657569; 650447622; 684022549; 539800236; 58065255; 345477728; 776882193; 632758844; 715000683; 960942372; 55123402; 505846347; 699373791; 600721036; 463104561; 589187038; 234160992; 451992678; 119803436; 974478951; 204206283; 895776722; 563186693; 681980096; 69732416; 439164784; 688001799; 463271921; 346487707; 377423740; 866886242; 678851010; 862007248; 776044374; 461391060; 125142551; 140973022; 805430945; 525730892; 859475023; 897886216; 651472028; 825375084; 598665292; 853097580; 901562313; 410399347; 642075096; 543093635; 77245170; 192869528; 598924599; 415503235; 720661265; 412693013; 821335728; 839128974; 781163627; 789580782; 974985727; 354875135; 819232642; 893118187; 346619374; 461412383; 344289404; 586236567; 702821076; 473078953; 429846849; 762805954; 49893455; 224680395; 396513429; 510192132; 233235323; 501392058; 989858071; 435783512; 479448738; 62985713; 122126468; 620789000; 136833235; 903248636; 840195464; 32524504; 183103970; 275418129; 647205347; 602763646; 278900140; 761330644; 804103328; 992506708; 297551323; 793957928; 572349507; 410444914; 190728172; 937537627; 420999765; 225144539; 705163560; 465495258; 127354674; 237286619; 671360023; 627810056; 546532556; 58905212; 990738353; 242727664; 638373447; 606581181; 761591539; 294185303; 270869625; 90481830; 383262384; 655866576; 9335057; 380811675; 322038908; 393713075; 164293174; 789988898; 461405725; 497354242; 349621170; 549920952; 849341126; 162402404; 437873678; 389432107; 892786956; 231914373; 639250063; 121730177; 300770611; 434285145; 886959937; 547271706; 102333456; 150322067; 231377278; 964770493; 766583725; 647997915; 700469153; 452995630; 745711142; 173756320; 161550184; 665559220; 856021818; 173304921; 476952055; 172774212; 635850173; 400363240; 192698739; 884855387; 308703269; 365295568; 196650328; 609556517; 560998578; 361631971; 951646424; 345872638; 642529015; 607938633; 838199494; 904845185; 36482177; 298944863; 363880718; 46999042; 426470692; 826430894; 819889370; 862434390; 62734672; 423131112; 216151182; 821484269; 16632260; 269385126; 856329672; 800927349; 862332615; 104697816; 930842509; 601961159; 47274575; 170314276; 515311784; 206878824; 343550671; 135816285; 816335157; 137764313; 628840142; 522811955; 261005298; 461308734; 910308833; 63525632; 554608972; 339567732; 442546316; 298721657; 992204930; 379195182; 359963983; 493486391; 985328959; 919838702; 253039560; 462745421; 569513722; 404011851; 100322754; 920075754; 426436875; 498122370; 97223513; 415008412; 724797092; 193478271; 86062243; 301768862; 587533123; 51115534; 861499068; 983703049; 784053792; 107965203; 544769337; 722285034; 187372124; 43156774; 547312812; 960542199; 963421988; 425074510; 463100934; 148314464; 337252785; 921599176; 478673057; 899831797; 151876917; 326512411; 787934574; 537191618; 260956691; 356818389; 597231775; 213892882; 77089563; 718061716; 331410468; 29554601; 9105137; 910372412; 709082263; 266844064; 900678635; 841506996; 326521650; 882351399; 770668404; 714984351; 436444539; 171759254; 252575292; 949319654; 909871601; 605880418; 178351218; 296041799; 106357159; 11334689; 360388530; 170979566; 786256087; 655949664; 360445653; 825163202; 566144218; 287211844; 294695434; 800707655; 428516566; 82349278; 1513730; 869645462; 195436281; 943863714; 752281156; 890919313; 866217822; 212349232; 427253630; 208713803; 336359734; 650886044; 920727930; 858417103; 683961623; 561330179; 349656121; 996882057; 300383352; 117317432; 454640362; 790691206; 297313562; 338944291; 767195547; 9654694; 190015823; 882228869; 891416296; 711376963; 976563841; 250738925; 436759261; 832081939; 543181505; 12652324; 719578992; 655941169; 659436660; 395170313; 351442570; 790202583; 731529435; 238172120; 594338932; 617660043; 460408671; 793665921; 994692138; 761247825; 424116001; 361105849; 700321100; 389633646; 289292452; 374645850; 842502580; 48777746; 394023122; 283443215; 135640637; 422409135; 536735081; 209084632; 146904954; 258657239; 246344290; 737439395; 79259863; 647897930; 542800681; 293528484; 381851659; 877692189; 571009670; 843000755; 989758612; 599143928; 36277369; 620072705; 259404573; 686741635; 349963357; 200275310; 114853685; 681226069; 109803830; 261868438; 454002732; 646839715; 682927492; 455306351; 493202348; 481496718; 153003614; 257596610; 996475951; 358975743; 725075683; 367695390; 883608302; 473338961; 793006975; 576793504; 479730315; 671868995; 85174998; 669373197; 745066312; 301774371; 226903028; 440161265; 318348463; 289318170; 825613355; 981822670; 940935570; 420254866; 808798797; 374734765; 135526773; 185955919; 543077507; 36330248; 769778638; 761991095; 700328672; 907597735; 783075756; 814955543; 746117199; 995856594; 570633959; 611839280; 202882714; 679503710; 640668580; 780963218; 659747276; 346554419; 729907514; 503526684; 247620542; 502072449; 843447899; 251076614; 397535719; 707760528; 634713947; 348309511; 447838947; 714146092; 251135610; 729102283; 18067815; 845286182; 359024970; 444782805; 422288216; 550496408; 803372316; 308246837; 355539913; 425527065; 947069928; 591455399; 853912383; 697373399; 166260254; 575797622; 217030224; 713066950; 793828310; 313509278; 646781504; 921316841; 8288238; 78063613; 831021910; 257911749; 550734454; 862089265; 862702103; 509941772; 226365566; 81075519; 908500265; 193143978; 100934664; 60850665; 429104473; 14036086; 548732957; 276309549; 713750240; 692527920; 452458673; 97675723; 673013692; 6146452; 905913219; 699594741; 974475712; 743018215; 730449488; 961310274; 755357870; 582246469; 486064033; 873883950; 884958852; 712636477; 883527129; 793279214; 530233455; 212457632; 903681041; 989593713; 724201519; 709139499; 14766469; 188964355; 849178637; 902053305; 701293319; 169337026; 121551527; 866421801; 634296725; 563293153; 454195523; 608490619; 754649756; 960211167; 522917556; 455008773; 446212943; 704632127; 554818515; 732672658; 818154443; 647812258; 588453321; 872764781; 727394109; 282827928; 907152596; 381581635; 32836953; 291831822; 681416378; 296565197; 650236529; 978506961; 237628279; 442049718; 859018214; 252358072; 19876323; 655059675; 701937045; 775517730; 964790471; 640241971; 472900153; 249388588; 812469604; 541292630; 415977102; 399392757; 904835592; 800958124; 60534654; 257488042; 997491158; 915399565; 285839767; 437477008; 827916407; 418262054; 673397142; 640265141; 781465715; 139353327; 106911151; 989059545; 561937884; 879036536; 926432405; 479330104; 919880512; 650683500; 478610431; 560986366; 347376401; 637737146; 110953912; 857457337; 391764005; 976494687; 632660308; 921024647; 985147545; 636701795; 4489000; 65188949; 921673201; 697821131; 193526773; 917321933; 374797665; 962592992; 314887041; 433299954; 72500135; 887845758; 773526180; 936863473; 514968656; 212986168; 730847123; 376314381; 131542803; 713358820; 522011894; 422673631; 468838859; 530578164; 810746699; 643115407; 372210472; 624411881; 117286810; 771604716; 924416241; 220238837; 349856478; 440785215; 985488396; 796737453; 937270615; 57490506; 992743045; 431529498; 25676287; 846286374; 258031104; 539332299; 762350153; 203636094; 475776338; 704518567; 785979519; 840692764; 701922991; 575640950; 816079493; 658558077; 824664782; 414969191; 626327027; 882497385; 744751338; 811309754; 835032097; 804306609; 346484802; 819908136; 51360072; 87936829; 588813229; 571237463; 756279621; 131197148; 196761212; 586682185; 777570896; 186068422; 319696880; 426982428; 323161637; 817768454; 803601574; 814114087; 760613951; 233464055; 575289907; 124373489; 612136104; 100253413; 916600497; 532456812; 733030908; 832138447; 472130089; 724950915; 809230764; 229336617; 274063025; 346103744; 243170533; 388581795; 392737952; 984034038; 357635065; 9644038; 114883469; 187976818; 479635105; 192000579; 816608600; 309759489; 516049677; 667867321; 162740867; 586000593; 713242969; 490288711; 113558043; 970027878; 546386683; 425104968; 830682868; 76348024; 423881816; 415558711; 586549647; 145607826; 446738210; 984555781; 418336243; 439803557; 953391141; 488068154; 442422728; 150678321; 936208413; 224578758; 744301545; 140495320; 602881523; 334067954; 641562607; 938611891; 513144912; 41309900; 351562871; 317234065; 405119269; 902669073; 682756809; 461441405; 694558494; 627628275; 83560412; 517927837; 544366983; 112638806; 147355817; 732916880; 674361358; 326588048; 8922707; 957299214; 907198454; 309397959; 654217650; 704702046; 593023276; 919753245; 404575443; 838703436; 522698415; 106366518; 815029104; 380621314; 166070346; 848089860; 463299859; 686272355; 980518510; 462476509; 98838868; 771595022; 453174862; 317787366; 764404114; 619312369; 19457529; 191377603; 891874126; 82769594; 180226081; 800036338; 906534633; 583793729; 363317607; 394382778; 447663748; 425004675; 364430327; 890696254; 79757751; 725704926; 736719711; 757565609; 186115226; 89098457; 815289899; 936360444; 654495069; 974495081; 361733252; 878963864; 872293285; 871684325; 614025500; 966245100; 119971411; 561973374; 11795220; 160799619; 990752739; 306781904; 388342988; 700247036; 374388718; 80284970; 775341312; 48675002; 656912707; 42215521; 35763230; 694491618; 660880833; 291809634; 95554624; 264812750; 880006076; 869295036; 975623734; 642447063; 280372307; 508095761; 10302984; 155723628; 99458798; 654875014; 955316325; 275374975; 261430872; 808243975; 549345266; 607460048; 684560573; 636205339; 118910603; 222455587; 106590478; 126315663; 54763351; 653437449; 745268422; 688171473; 861926298; 677638171; 512642654; 666219366; 633893230; 942983131; 680324129; 318696854; 996835557; 985208111; 675908767; 245787446; 372585731; 831356740; 885218192; 536926778; 843440502; 707433562; 562101548; 760792649; 111288202; 141245921; 694139806; 221762693; 555819791; 956123647; 417804974; 361920528; 79767938; 101585075; 852088068; 57311784; 265459962; 821922662; 452684471; 5631530; 673330321; 532858314; 575087618; 448898265; 373361990; 357965046; 53421597; 880014188; 717245206; 189084474; 408825936; 872453532; 873946220; 738536084; 891896460; 141185246; 111864066; 423992440; 853431428; 425128439; 974314342; 135451562; 66887258; 859537966; 17615308; 593831358; 817822793; 797424316; 318331928; 106232649; 33687172; 262962413; 81134803; 803328284; 388507815; 464418993; 925362009; 470353106; 237171847; 470437132; 55103872; 163201473; 870774679; 109967396; 221489978; 32533184; 178290380; 425622630; 778211346; 927302433; 610350628; 150285049; 369770664; 374978638; 191357068; 728830894; 710315554; 300266585; 105340817; 609032739; 246391892; 942889798; 443049254; 599136805; 74560515; 302748595; 834486334; 753451703; 822873308; 775136722; 516595944; 485130549; 706068855; 822477359; 136532978; 157314574; 341501867; 232572229; 175578417; 50707498; 530936275; 891077181; 626793556; 983627825; 359214713; 398088894; 693328073; 94847666; 661003042; 951821784; 846527720; 582960296; 550590927; 155690391; 216722217; 705550155; 562210045; 487053389; 419911484; 390933857; 184641905; 837030444; 994573000; 764904683; 830344169; 629927318; 130434266; 578093297; 451998851; 21073731; 515579517; 78034590; 350199876; 450573128; 367313683; 707982635; 884290957; 231198902; 60923075; 885914953; 78662388; 324134437; 914907864; 415304450; 539348808; 841284960; 584773440; 920163586; 928491721; 129078001; 584008260; 39511485; 876413509; 603368407; 636989327; 353512833; 571325592; 466785802; 74676420; 590837382; 435550097; 706753689; 219633781; 688407641; 186197062; 310930369; 326836890; 622240534; 427405814; 211446665; 9754488; 46982737; 519150188; 662121788; 915931465; 878199306; 737921676; 571339034; 823863345; 561073464; 423722571; 187179115; 650931837; 449021848; 717738126; 569087817; 896996119; 319640176; 818190235; 798625797; 629332636; 379627020; 921051767; 194367868; 127828495; 378642580; 142411921; 194152511; 989503405; 391158276; 872787872; 653545716; 469238075; 364839320; 602164401; 963153173; 67714248; 886047915; 138881322; 199675923; 423694185; 734785849; 663852887; 876040855; 954133193; 749495021; 968473792; 354434032; 511973602; 203974420; 517473401; 799760629; 925625978; 251507223; 688792997; 852976400; 921769467; 169241715; 631002899; 408092794; 599129394; 78151745; 734920141; 527795782; 360046688; 828832090; 2199838; 858544576; 485760523; 923574112; 119654945; 43520402; 678517720; 963374614; 357215099; 305048045; 890059729; 220597366; 938492329; 202112051; 221863000; 244199936; 857393017; 29428243; 65935739; 301978803; 120095041; 256236628; 294141261; 112483282; 432074194; 833454064; 427217237; 130617017; 147489765; 325686392; 518469521; 968711335; 947363702; 774142586; 906384329; 532942851; 399249907; 777480366; 166238399; 93290290; 189085229; 463077183; 170569166; 404994943; 532652600; 801672045; 144418563; 461207717; 483975503; 87919998; 413722885; 556075015; 192029059; 825476816; 163615426; 803842720; 703599151; 923978527; 390851286; 271672382; 472552476; 884948050; 320143080; 344361890; 544615214; 662675730; 735339983; 462753312; 603577743; 770098743; 418674149; 590121723; 472033907; 260813265; 495449169; 510863586; 572169413; 303926215; 334475959; 894459870; 189295393; 94597570; 501762649; 792071064; 380237433; 456966372; 654517180; 563584078; 186002595; 645474672; 811018149; 322083614; 773690113; 396465706; 836018056; 492466742; 596889182; 914604256; 287242596; 524874720; 499343688; 728970952; 730224462; 753740617; 306544844; 673778214; 828565091; 690413118; 707782776; 65132317; 227278267; 233876939; 674951472; 799757717; 456565004; 788994289; 390233455; 797368452; 512454677; 212250790; 506801446; 298147805; 958565692; 925042572; 944085763; 500112976; 441334045; 803967836; 147238932; 886475283; 878321295; 28187919; 29789021; 909212425; 793808024; 77686052; 186524862; 149782761; 232751943; 730336935; 339014696; 541613942; 461041180; 815145463; 677251377; 688841614; 519834559; 815861578; 210234072; 482431035; 649492631; 295242936; 643429900; 146074440; 791072589; 14833420; 945018623; 191739418; 700956084; 347477176; 368521557; 45329050; 510290900; 409798458; 946015702; 732259375; 472214798; 308221349; 14024251; 617451592; 729592859; 129580787; 251132976; 763382685; 762960870; 368847370; 791465389; 34644645; 893122317; 809205638; 171071124; 95933531; 906335758; 179400391; 578920503; 268775092; 175524410; 545816300; 982608293; 615320162; 337138429; 160024463; 950760017; 188330695; 383210605; 274363988; 785766875; 513018603; 278330821; 767610138; 463967108; 48132923; 959307282; 173178812; 106273227; 751317760; 777775084; 823542485; 510816522; 171586076; 345913003; 461399495; 551139699; 296818054; 832141339; 714757833; 668841857; 6239059; 66375880; 539860191; 597857154; 98665655; 628501588; 535086477; 630994518; 507930018; 531580878; 865226366; 731738256; 935365869; 24352679; 193176389; 584115369; 222271366; 245160116; 658974155; 84672262; 978704989; 690373093; 863497439; 484828143; 877255404; 266352060; 762398352; 257690505; 939810511; 72875426; 253412351; 484223564; 223757294; 537911915; 145499986; 98344884; 350505255; 156514831; 328729540; 374451968; 756305373; 251015971; 652856223; 509882997; 550475531; 239576173; 929322420; 383871465; 100487323; 687817622; 838571719; 388345923; 436445106; 7885532; 974026499; 423169044; 356168374; 397323438; 462377064; 881897635; 114150420; 877823436; 667980386; 142675619; 842947371; 495753039; 30440570; 102485868; 856132228; 181344002; 947589104; 341501910; 651881894; 5865341; 674831911; 949352176; 400012594; 64732798; 106471599; 302279031; 802518204; 560774411; 689726674; 989560548; 422113715; 351180728; 825537537; 367011591; 170894491; 213915783; 500481032; 753467956; 956920694; 393646153; 202447988; 205375358; 341011555; 42702686; 573726800; 130118003; 230990849; 119288449; 798814985; 675320261; 632821417; 150701836; 725867308; 745930922; 782485640; 845406581; 282904555; 946201656; 510056627; 754865319; 133505161; 111776133; 964542694; 571267972; 427138231; 583335682; 235039620; 759689510; 509200186; 426257072; 643636168; 885775563; 957574886; 590676670; 379718424; 604446480; 232145973; 393019459; 430126488; 526870843; 807921792; 275274346; 742615616; 471173663; 433904255; 512472394; 161071692; 47150940; 644623638; 901577738; 219663947; 514032150; 914383714; 809060921; 660279998; 775566232; 696621472; 698118064; 127304149; 351581712; 5087985; 485175792; 482286817; 557676836; 646381666; 597043448; 943714531; 122745483; 162479035; 891628909; 922637342; 432652036; 212955457; 287132663; 183497530; 704578140; 283488569; 415000556; 248051612; 29198434; 317317699; 682850229; 658568098; 662264518; 819646552; 566369096; 798734251; 992903367; 360545857; 770117481; 191616289; 153114037; 258937109; 975439078; 896697306; 244884946; 251696193; 904491547; 88600270; 365063654; 368998843; 794183339; 930745090; 829376618; 268862790; 391472863; 686175191; 470766229; 236890649; 874501788; 647563389; 987435722; 984253514; 480673058; 928933408; 902923500; 420450563; 734594180; 101147111; 829453503; 257906018; 435030209; 392775392; 546886840; 55807219; 265589592; 20633644; 740545455; 687598057; 412887336; 28022988; 715183448; 327937018; 748833678; 463287049; 465251617; 969255483; 407182690; 293519242; 745241318; 628782531; 847711730; 620129620; 941729679; 924383382; 626568779; 255140266; 843762659; 305137455; 476539642; 801314593; 160371289; 376465919; 750008071; 254836121; 637666913; 4623445; 677339302; 192894294; 589422681; 82856760; 55620383; 54802667; 436163404; 545201919; 276977929; 126791454; 352360216; 478848834; 296194726; 846060791; 770279965; 356110416; 436469995; 696141908; 560241639; 206039978; 361639052; 963751447; 446597069; 569961949; 236117376; 162204406; 46791261; 442258682; 62889473; 373368274; 703456332; 765516730; 90163624; 942094242; 825285954; 934024972; 493497264; 298432370; 321088785; 749912996; 972081568; 395297053; 390043499; 908868394; 11904280; 172998691; 883758689; 920326576; 562020693; 610269420; 529939902; 672529315; 652934747; 360005869; 295243535; 587652232; 754893820; 249320260; 118366504; 552360960; 148287526; 926158729; 728179947; 240499881; 874092906; 215778848; 731526216; 895058098; 952603108; 706803245; 191913258; 687555788; 420083571; 254558296; 646905909; 204014386; 333572309; 493363471; 730632026; 389032755; 158304670; 329728434; 535486608; 315881556; 976221900; 482762471; 333783040; 452225678; 384669587; 750734493; 581634541; 640538435; 739993837; 682013924; 276294106; 12704395; 179494377; 871332924; 770671314; 262084448; 470312427; 654656994; 113538074; 390960552; 825151172; 464065271; 784477590; 516093706; 662668648; 720169380; 275718470; 796180415; 725243099; 747997405; 473583852; 534248180; 544869491; 280019157; 898528932; 839933722; 517327546; 324115693; 33512418; 589129627; 645663375; 339786439; 445205700; 321878697; 835666517; 188430161; 554115850; 83809604; 289480407; 652014086; 458092083; 881354002; 802841903; 371763024; 313018031; 888160089; 874565843; 204910655; 32709993; 748058090; 507759397; 669341356; 69056719; 25140097; 889564169; 81310379; 153765790; 519527849; 263071738; 846655343; 988246859; 23547256; 64274358; 309621772; 108091722; 44823037; 306018774; 375458271; 824348293; 637291909; 849569403; 488901391; 499324847; 90698282; 237153472; 740956963; 485385145; 895416057; 115231049; 583237280; 103559863; 96141361; 802459728; 683768088; 383459676; 402027244; 193973670; 655502744; 830079928; 359944782; 942091219; 621166010; 629102536; 158282962; 682825849; 584527540; 335657192; 768812641; 769354957; 810151248; 14428302; 918014017; 318111384; 892500980; 868058526; 107894078; 279538251; 574862512; 711465816; 391561161; 353558186; 558581617; 712599124; 199415579; 142705903; 423482618; 707665306; 94835936; 518070631; 771844394; 42331016; 241478274; 457825668; 701526314; 811461054; 298256107; 532835505; 705893376; 163035128; 932769786; 877915393; 148729522; 233736901; 797247115; 193514292; 79715625; 567316232; 949070633; 223404013; 146450084; 743159987; 984944857; 470724542; 351022513; 580337720; 861156281; 960783877; 988163582; 56205032; 657861261; 119928040; 933146084; 511151411; 214054184; 720952062; 74889359; 316345372; 189197953; 696073840; 540695748; 75698490; 165104884; 679725866; 420650185; 718699715; 963945751; 646317172; 26625004; 252346631; 6326784; 551259616; 745239928; 354265268; 379868289; 711567671; 713558376; 731286970; 579105455; 867918966; 687727352; 625444777; 92666031; 961817505; 610218336; 75135649; 631865402; 134775726; 934137480; 917689390; 412146838; 39621797; 709240423; 144341612; 823020667; 984062397; 427099887; 924357087; 975390144; 107653330; 848520369; 823978717; 553302030; 120258497; 808217116; 125872550; 206532672; 510791812; 128998629; 428661430; 86478712; 862702907; 89193944; 110447024; 541833339; 518927928; 661817757; 359826441; 990029790; 454439069; 188363543; 735287629; 339799374; 241024295; 895141187; 696354583; 372031987; 835014018; 652522659; 806270463; 184934619; 362439592; 718494745; 60904349; 107390773; 397483390; 761857634; 986271058; 558024332; 190278615; 308412513; 602878425; 679134443; 334113403; 119939461; 429633423; 941842105; 801183091; 257278011; 780044944; 262986606; 572757570; 873642366; 555369914; 858514273; 122621821; 410470942; 174216592; 328239892; 760252284; 269055786; 561779992; 742623797; 783352015; 258521569; 36706354; 355302536; 50312117; 867585367; 379317911; 35169262; 391865832; 192563536; 644252925; 985314360; 945851484; 864218193; 840102992; 710948752; 731908037; 183294757; 709886093; 34870060; 569724765; 502334582; 772889827; 286765004; 599366636; 34806415; 308206755; 244150557; 328643969; 84285611; 370617433; 441908180; 357813132; 989587954; 397089111; 216099352; 825526942; 329735761; 76821680; 108299908; 803154173; 644492201; 872730523; 414289756; 481989548; 894829821; 454256298; 448013175; 596336652; 636112830; 557663050; 88586296; 657226686; 366257035; 991818586; 45977711; 278334772; 428542779; 830536130; 872401720; 225216559; 427011929; 440832032; 232423610; 202980786; 786417221; 436903232; 317677208; 382237213; 796306773; 832205863; 953185660; 441222594; 244645732; 798657208; 377363307; 14648115; 887982420; 179918376; 61753173; 275830075; 136766512; 359187691; 951145550; 17058802; 842466289; 313273400; 138197374; 732098826; 820502450; 184766102; 887714849; 942220145; 93783981; 480391122; 564897458; 737492992; 820546126; 857762254; 310572772; 888431620; 577687433; 751804303; 703713661; 97423096; 869564822; 203930671; 662573479; 559014282; 694656174; 109619805; 177692062; 430570041; 293208523; 166824624; 225763182; 165748608; 115251272; 793991584; 127874452; 936139284; 270426309; 70939617; 143448150; 79595633; 654637863; 660059659; 525890005; 94271328; 589659189; 885568008; 440396376; 228310495; 592596625; 256569122; 590117724; 46236972; 435860259; 902392322; 888915267; 415165988; 355383313; 250024706; 782666244; 236068076; 599478943; 182305088; 110289236; 674190562; 528420000; 318216519; 775961110; 558385619; 84857305; 689239298; 768313078; 9858758; 429919545; 404618535; 162434848; 888409509; 845971391; 623749095; 934341361; 205464012; 322099004; 529196818; 361437204; 762920255; 559217615; 712657435; 982461612; 147733352; 96695180; 44747943; 749451861; 91407470; 741542438; 487661475; 898822858; 2712547; 351303445; 903833876; 577926809; 386540403; 440550637; 599036842; 593118009; 573548010; 953981606; 438367585; 556036186; 160631931; 144476531; 497636818; 537829269; 938647419; 648711480; 962911105; 122419856; 509265594; 93458552; 616286509; 320699713; 830129952; 790884095; 707354421; 297131210; 710159504; 897642251; 343087014; 622601107; 619718908; 940757977; 426712591; 722864827; 801971157; 425943160; 368461632; 335884685; 212562535; 100143164; 684557999; 216513708; 253484433; 785179545; 383423948; 157884726; 104412831; 172990370; 825879244; 933344630; 89193930; 759423480; 668970639; 443474682; 360666936; 113681364; 135526993; 962782833; 283216173; 930212195; 520825462; 621012610; 424586012; 402946653; 557803224; 508398581; 719820073; 273738884; 245693430; 974544575; 909608002; 802497009; 767073392; 232719969; 194635034; 53883987; 612393575; 862803394; 702146867; 614158348; 674023804; 22688994; 393922556; 336389831; 341045857; 170437245; 864200317; 467377735; 698406805; 216301208; 726314826; 816904475; 338606210; 145151939; 721805354; 305801697; 536757511; 856934447; 232981634; 998950298; 825299130; 117074878; 714673801; 602669359; 569313464; 915493288; 333444096; 925010480; 288281766; 326354132; 710666449; 670224741; 249329045; 537133684; 128380112; 296076186; 822181080; 170217508; 719034559; 241827561; 491543970; 841737540; 533062554; 590272935; 617777279; 8321195; 368226686; 125612212; 393481059; 867942649; 374990875; 644696211; 980375781; 257325825; 102485220; 218024700; 708844177; 520984295; 965164253; 128497323; 174435209; 225416749; 475449817; 86157745; 903573205; 62676266; 999651097; 187827466; 480978420; 438558990; 731800709; 147895340; 709410777; 207621195; 404243635; 511155198; 822295457; 972965181; 926864872; 725800386; 899105742; 740573865; 561840627; 618780807; 375092062; 739387054; 81056399; 192290041; 779750705; 571569199; 799033182; 907923189; 798261756; 381197804; 61258231; 416760798; 649657701; 427057664; 199574252; 731268725; 48741658; 199582188; 862216154; 121275805; 370814637; 428033053; 274307961; 209403150; 417428374; 581430597; 874214864; 362436318; 724701754; 770659112; 427342588; 7169680; 586736635; 216412437; 495290730; 247035007; 620744249; 617300848; 515575914; 184139770; 780053042; 147199860; 77711105; 596036543; 130778919; 789598639; 689083616; 437482557; 145420222; 674912486; 382929764; 202313664; 426282257; 734015296; 476721768; 268099782; 459151872; 425140250; 425382351; 253413718; 792228278; 243300472; 644533861; 154959103; 165976815; 845493762; 501516175; 298629022; 380014337; 237439781; 518202548; 361097802; 540543496; 958259792; 546853606; 113957800; 734121282; 109787225; 137862680; 746715286; 688279283; 788509967; 541102594; 196717648; 780812829; 949633099; 18753885; 471673117; 46063738; 4310394; 525686377; 460579465; 610198143; 74993847; 858783171; 799624099; 518501402; 101777365; 452051845; 627233389; 371924176; 981619161; 809095987; 454250912; 49253889; 531183506; 49094053; 767832575; 749718729; 234904330; 240057536; 912993648; 733138712; 67454908; 102412256; 534511509; 714014623; 750591692; 358242948; 698914308; 329170993; 638577338; 214199965; 401708544; 203714827; 15761679; 631965686; 24563524; 473822732; 446197987; 514987551; 716547059; 756062648; 894381928; 547132416; 297437330; 535313839; 115216942; 386569736; 139075661; 82129828; 684469533; 546723292; 817577296; 614510839; 877561441; 961201094; 968568753; 669329857; 917830423; 995141867; 156048176; 396256863; 576752276; 712865897; 480222744; 290088454; 338355137; 784924422; 558735332; 408872312; 405135255; 860923206; 649360449; 916173792; 856129031; 70771648; 495458871; 555660932; 359743672; 839855388; 78325628; 199918602; 366170004; 755987065; 310939322; 837898837; 362594955; 282145138; 994637217; 363474257; 35872067; 890731126; 328921366; 951598952; 879826282; 815376534; 111293821; 849807640; 508558397; 859527179; 669364924; 361374896; 555593563; 831733076; 918621025; 453450459; 364118525; 960731253; 606186967; 526127088; 434692658; 750941216; 254251628; 760138928; 338116656; 995653643; 669573976; 975571508; 867283968; 82266565; 821027547; 912993841; 216282737; 562785394; 824820749; 699761082; 405850222; 165257969; 43982116; 337487989; 85288207; 903870134; 477889168; 398294131; 877260236; 208946319; 623270141; 587142952; 968497694; 537473676; 389042821; 351444527; 78333607; 958659411; 956062376; 13970319; 121156751; 986809579; 372085348; 193647658; 852796549; 5964690; 965133144; 80815201; 636409274; 256780084; 993305992; 907516328; 221495058; 771967911; 625871828; 388212111; 404988229; 413856951; 62947790; 131873222; 938051463; 653498950; 221240136; 934502620; 416723984; 573421923; 454133935; 598788114; 588650938; 105529281; 206721864; 229823751; 113743272; 703380383; 408033873; 503385364; 154688569; 216002477; 320260507; 731798905; 649339934; 95722290; 604977220; 49777938; 415188908; 881562163; 503888374; 897437256; 690279279; 215447411; 224799896; 361769122; 230157215; 846508574; 162568319; 685006248; 314445334; 812662000; 590370376; 279370358; 603018559; 421181682; 610872879; 464473861; 622641185; 12007884; 963603635; 452981157; 428011682; 332378626; 38126152; 179858011; 536169851; 924034203; 475573729; 303378807; 288997523; 419480330; 383859487; 324170952; 688945504; 924192985; 961547806; 883893850; 533683426; 799320404; 314744693; 303631977; 739540811; 335768920; 89184592; 133378072; 437037933; 33453680; 112939092; 149019071; 579357913; 133648002; 808902351; 155640548; 421061742; 457086435; 386977664; 103425366; 732468855; 851981616; 867413392; 968527753; 718240507; 859675910; 392543612; 113812939; 428674482; 986252101; 793516901; 342898373; 938958208; 817170018; 968525020; 819517424; 498446647; 137360744; 18866470; 935356961; 626448561; 677196242; 322219784; 125805443; 596104821; 915709891; 533404350; 315459774; 138434297; 621797342; 109257705; 883791781; 4219220; 124831669; 892767167; 315242656; 636697622; 958510219; 823812249; 112828112; 959476400; 46220013; 37156486; 354793200; 619599485; 954001330; 189654506; 771685104; 778222573; 875227656; 982771887; 615455996; 32288707; 378077771; 236982339; 681624124; 13918967; 680352843; 696147487; 261419734; 73005788; 707534759; 382769920; 907277954; 976724625; 42307132; 407426291; 911084189; 430819448; 581342824; 345246534; 794477026; 346328848; 666383969; 419002151; 516766041; 599110332; 316831841; 655353816; 119485564; 93882866; 108611193; 411854227; 7066937; 954559435; 648487543; 604329275; 280218694; 554177373; 71215188; 155441048; 198727658; 154314698; 197254125; 582756073; 152552004; 708573406; 463953334; 138022478; 859415403; 700964464; 90143636; 959795111; 308796574; 539359961; 695132229; 52018842; 7869156; 754150615; 581600512; 431819488; 75869719; 550802762; 876506787; 352888672; 735649044; 71028723; 477502403; 674659526; 137000191; 867466954; 626159001; 86151185; 652163675; 875459737; 931747826; 827899151; 822847113; 444691524; 917283716; 538008540; 567887668; 942238825; 582789494; 900696339; 312179893; 519118629; 156722027; 588166313; 394695248; 623608245; 748454192; 624977311; 82077857; 914408336; 679286071; 463058966; 964466499; 439887762; 630055531; 414411936; 435955145; 486530787; 985345523; 131845973; 838171801; 15580441; 407579483; 250881447; 569935283; 195676201; 471682619; 136748040; 652985196; 845798274; 977277345; 969281985; 562769658; 954677164; 336645103; 846700035; 285227830; 453397000; 66246726; 372786750; 154514671; 225363784; 140519100; 24687124; 196750559; 463099077; 559003600; 336489278; 268740551; 9114222; 357265515; 347831369; 583238201; 63132763; 818981390; 80707007; 394908963; 496756482; 352926999; 913097545; 946064198; 685666693; 374182832; 565275100; 992963212; 98678926; 394042864; 907703474; 892097647; 39244483; 742158582; 648579740; 97567708; 845472327; 371509011; 692168526; 442052983; 358555355; 858690395; 507062175; 825495951; 846539122; 700772512; 484807297; 34618534; 173075709; 431307067; 287930543; 859133969; 849920311; 660956206; 951891196; 979111212; 154702810; 830059573; 691029743; 98030433; 629225990; 287454421; 541525369; 295665213; 579711639; 181707303; 270863340; 826206533; 129918529; 226949125; 393813251; 27632199; 219599102; 42533580; 906427937; 142523298; 210032413; 903611912; 45898977; 632282466; 170311728; 998318657; 782251127; 607252314; 334207179; 142840357; 575826507; 70011166; 151340577; 725782952; 597523408; 586920757; 592529654; 420145717; 483133709; 919399536; 854847708; 288529766; 504429740; 62778793; 223526246; 789307417; 554769911; 650793356; 632505518; 507388716; 819452503; 398978522; 292778334; 129662033; 242587223; 337804326; 317350863; 892107172; 591864272; 286095755; 578227659; 80740532; 352456221; 686798859; 505287351; 381946953; 275356746; 883240768; 72372131; 347498435; 327609495; 145020051; 710851393; 436270804; 803553855; 230958290; 381343268; 987714180; 993609078; 91828268; 40496139; 176926963; 175088491; 291588840; 399477269; 303732580; 579229267; 820426465; 41257135; 833532519; 40823139; 628465699; 49688976; 31578203; 364657981; 585081753; 803666943; 668280831; 234571486; 641600563; 762733126; 610818138; 197341048; 272608622; 509464408; 619127444; 736348753; 286157365; 644361130; 979817532; 200295736; 179934071; 881989235; 964815216; 838066074; 76045281; 613124107; 845896278; 485789107; 288835272; 230484028; 447081096; 474265689; 107641084; 923818902; 516317009; 500887889; 890078653; 60052627; 52863095; 270362545; 323929289; 239412132; 251183825; 429910781; 257122297; 109386714; 85383694; 617455578; 73516378; 320482474; 823752827; 569065284; 372311029; 652924147; 726189763; 643757153; 273322210; 949372126; 224707978; 292681603; 961759899; 811399092; 737071839; 677746745; 999342689; 969732344; 189852076; 13000244; 613414535; 177928398; 879316091; 366974990; 902089072; 939516654; 464478760; 911456267; 857057644; 258394710; 290913027; 715221496; 572782269; 156459868; 252295374; 527185866; 699351588; 417794960; 676032008; 99830089; 97719614; 851428761; 61255178; 909852889; 78552145; 42902976; 587698628; 292615921; 856360750; 766970949; 649594043; 599763752; 112763470; 281984507; 456968251; 635504646; 669124255; 968089339; 398857258; 651559390; 49429897; 693840498; 970522429; 182354286; 785991061; 312236519; 336775518; 572052240; 2720985; 940483566; 3266264; 787718820; 332615506; 179111803; 814014864; 440471327; 686274294; 337675153; 433224530; 923814779; 558496291; 793915653; 371064283; 121507131; 636362529; 451808565; 958066853; 917857359; 941231408; 73930420; 560517322; 549388134; 242196721; 826146804; 594868434; 641762579; 246884442; 629721184; 993370539; 37298935; 713440132; 364526921; 405369256; 853279684; 980857350; 444732569; 847199647; 646416097; 262182494; 850405072; 375830473; 375801357; 19516269; 849173279; 604942155; 581611017; 611277835; 766795375; 542232261; 965135419; 755936453; 365112338; 709286015; 31541771; 140050167; 583844122; 686950180; 558018088; 537932891; 391784405; 946178397; 711647927; 303783712; 904192393; 883597464; 73031737; 858269565; 949689554; 753172809; 286558384; 716472317; 857250539; 610118646; 529052243; 971724148; 686821008; 117350953; 204574936; 255552073; 420405835; 544507676; 582079831; 3434612; 184932051; 483686687; 516366757; 800927022; 968082037; 568157180; 234085412; 233468877; 562636549; 338817096; 62512519; 634099038; 125968689; 865328053; 171805415; 214879095; 9226319; 967119800; 155753314; 627317415; 724184613; 456754141; 383088794; 388048149; 348733286; 72487263; 545653332; 595163686; 238179454; 696852179; 136775774; 543089084; 575336218; 493389321; 57905433; 780393841; 28373297; 875649011; 60597705; 10501533; 769981057; 175473036; 454059480; 214447932; 766981010; 833771553; 699994713; 336114201; 228358652; 167219923; 626507358; 829513101; 545724343; 764125036; 819964160; 811145258; 733546061; 137516951; 836572101; 443913679; 423128644; 477039982; 44086094; 914979747; 425015143; 545945206; 350856623; 422882999; 542728376; 281472705; 146323965; 387539114; 887101322; 203928796; 557015044; 539385958; 160505770; 530050888; 920938189; 290251262; 19526307; 397188919; 333664364; 995279125; 189200254; 403498451; 859591333; 362474496; 994557218; 701788292; 949051372; 547760826; 533028076; 394415801; 719105695; 340535042; 176211141; 992722424; 26045749; 42702260; 736307368; 263277284; 590740589; 827123683; 871983320; 711390299; 818760622; 788269519; 346305754; 66908693; 410365062; 441253237; 406640661; 963914443; 587194277; 768278450; 827750999; 989044531; 59946125; 792592002; 602369575; 410248708; 177749731; 630491484; 661911639; 255971937; 593895713; 738453984; 932290444; 797665165; 921091967; 406733209; 713173564; 651484988; 982401752; 642896846; 712275321; 831209815; 852699150; 472753354; 287344590; 936240944; 831206703; 319293337; 34399520; 359515854; 626594229; 781038498; 465806003; 838190655; 680150058; 705506639; 605270192; 601821583; 438886076; 550841005; 947497369; 597570830; 699474285; 241873586; 701525400; 320134357; 183541137; 370326644; 948967689; 860305139; 407671131; 326040882; 669595634; 592411655; 895709392; 217757214; 555473407; 216641971; 23528645; 714948306; 813649979; 83885115; 274112601; 490636448; 864490134; 127818590; 544376055; 928393661; 771093415; 136568556; 100766791; 420283630; 889095275; 101687816; 834322627; 486530399; 520558689; 845589648; 393921403; 463135491; 856810967; 845238662; 978864674; 964502754; 373317924; 358265835; 636567811; 241636499; 783293004; 60275530; 246390175; 137046182; 394732566; 515710543; 841243459; 946727883; 767690507; 903781621; 547324798; 555499585; 292112372; 764800653; 383971334; 725118709; 758358350; 74343053; 290321764; 709753831; 961727254; 168944974; 164483605; 377520402; 63184171; 139884319; 234827181; 358034748; 712875470; 509365064; 203387578; 952587845; 965701034; 383217975; 445305780; 218396267; 562259632; 824145321; 370470991; 341762551; 710766547; 990520754; 514526360; 434163576; 77872344; 686492264; 21064751; 127405510; 75445008; 380604912; 595265163; 54308005; 895004898; 664540229; 552210857; 773156450; 598763949; 888554498; 223250727; 487776946; 1004849; 774886071; 482601251; 442683578; 688520956; 742214158; 790763854; 920969505; 993129003; 271269749; 637075292; 818445372; 721605926; 905003698; 219244526; 416379451; 916731989; 726588022; 567383859; 620600218; 44375163; 713741125; 233594139; 901958256; 73737415; 914528879; 177557364; 124271772; 201694637; 468664391; 644614497; 939541007; 278275413; 343909517; 586466301; 694693596; 94277030; 709783283; 254974856; 342910617; 629704015; 189273187; 897327588; 607620004; 142939548; 175585887; 652384065; 709864026; 877268801; 797778039; 818198196; 965787908; 324349236; 230071142; 176549925; 142310954; 567371671; 999043630; 425926098; 201620705; 365221887; 901539758; 987192568; 35857210; 636154234; 39524948; 513969655; 760250257; 861149844; 796804091; 100793722; 317526463; 855921597; 829715530; 797308981; 195353875; 814430976; 519201226; 483995969; 335820001; 730403515; 956295411; 271039610; 438852302; 339142415; 3098589; 689362615; 411893289; 327273672; 126646191; 697698265; 65817979; 927387394; 726493719; 271378715; 417906457; 679376495; 303165334; 796289975; 954520765; 498748873; 862324350; 332408280; 860568570; 207316986; 929451339; 230212808; 372598683; 216771952; 200821338; 393613509; 493269646; 636905778; 934124638; 510587586; 220477781; 444587291; 871051525; 395096920; 979256175; 206725288; 770510089; 369085609; 714498509; 2650289; 862009189; 762057157; 757153233; 495104670; 914680447; 487882646; 800309270; 88291968; 35916177; 932844104; 484462763; 358311909; 571260433; 991906925; 970995100; 961948568; 703600202; 765079278; 871048366; 486448876; 218799603; 485594672; 489727328; 990482433; 450153566; 62336841; 548334986; 535390219; 953448374; 880084929; 342380600; 215108339; 922924027; 690432480; 785397233; 58400038; 799799262; 766129224; 411271650; 691985514; 381715138; 421535494; 690656902; 43556730; 72397941; 422101676; 308818772; 593765517; 225437881; 408677824; 634379960; 71267728; 710752715; 679182931; 859542561; 473579746; 122628141; 205257820; 871893168; 341356720; 265659050; 330762252; 135663849; 775303884; 234886289; 934709789; 360323689; 463500635; 911847219; 361601045; 703758281; 790377891; 907188577; 476260980; 662712616; 932983767; 206862301; 581400931; 1530848; 354117037; 142951889; 526760368; 688566135; 402495204; 524756342; 229753913; 20526514; 453345809; 927377229; 748980693; 551710740; 818360440; 123224710; 384209785; 405535651; 293336655; 851339202; 123770648; 176437030; 730557898; 765251582; 852596847; 509487100; 850278726; 561834648; 925358556; 921898392; 149315038; 152388192; 91051579; 200492799; 145051700; 540282940; 178567734; 18660538; 15081249; 264282102; 369480355; 988236843; 841418606; 680196565; 799832616; 716415137; 274774922; 609715968; 760813266; 296717810; 632608492; 748345617; 188215522; 449647077; 290531101; 440034753; 561488800; 765664028; 290706087; 548573700; 889786316; 729277620; 98160245; 662349459; 942761055; 349747141; 169882815; 408654261; 979120637; 629296501; 622388221; 206122533; 253261021; 234351731; 441783122; 300292782; 366568555; 177913477; 886275902; 453991962; 121236578; 918700279; 276782381; 332428745; 628325053; 36312585; 297996158; 658832188; 723564913; 94252361; 332785893; 97541263; 613285026; 459417240; 180312047; 437640160; 422184487; 277447196; 477815263; 677858641; 851621339; 22047706; 277068487; 111859841; 604580126; 199090146; 867183836; 827363000; 84839888; 69898493; 641417979; 74680499; 348566259; 563998473; 409997274; 878459211; 900467847; 745843328; 473458089; 780692735; 102787690; 758196351; 470988426; 609714186; 974450846; 877155461; 536988221; 493069451; 1453580; 725803442; 922316235; 497450853; 138675997; 228190108; 99727895; 540356270; 375125959; 300017294; 976538266; 442929743; 556082892; 253282766; 387931054; 643946660; 415818108; 848412050; 107254365; 567225790; 846774202; 732925650; 300507432; 952371218; 499201049; 94339492; 49848278; 603185444; 313437640; 30559294; 453110321; 742921878; 31489104; 950201985; 137893033; 240451850; 756081087; 384724585; 673202438; 350500625; 304681919; 805937342; 783496485; 132714877; 466293006; 514324490; 144168475; 125290896; 89688038; 230390897; 336705247; 882376959; 587224376; 182704799; 25600937; 411947224; 485103606; 209713885; 632155908; 713547836; 650768792; 768255514; 562032464; 827474202; 98610936; 980224527; 929502240; 735751804; 856184223; 729924400; 462604268; 540151663; 758716552; 30909858; 985367816; 2987637; 395069485; 960287989; 34553694; 207189124; 441352475; 352094595; 968808598; 604341095; 423605230; 416501038; 858724793; 277541499; 813185970; 310349687; 910464479; 756149781; 254759034; 810590379; 949199574; 579423805; 34439604; 158310592; 475594217; 756856051; 27068424; 857286840; 351494439; 837494901; 658123850; 247665784; 74747809; 12120699; 618357918; 120873751; 904081756; 762310140; 460148798; 873761784; 40239606; 915233925; 571568951; 287868859; 649923592; 642239833; 233488362; 987542477; 276798158; 327208642; 256876300; 589241301; 958321030; 422696199; 374530894; 499502144; 782656580; 787340392; 619502197; 547692574; 427486486; 576224208; 429555873; 763934982; 585400520; 678924670; 479413996; 879049613; 454771049; 140790072; 737705552; 584148829; 967177466; 601472796; 558031960; 738168052; 261767222; 179577027; 490535465; 343665522; 66784508; 322863888; 113870301; 261945046; 190332957; 397238167; 852904102; 864710597; 457979672; 246688793; 515286074; 113946652; 464819157; 853989284; 76543177; 854487075; 404117048; 9456958; 97489937; 674065828; 685605622; 863825650; 352193762; 112423389; 736341751; 512750552; 776362773; 226406391; 710452630; 148110918; 334290521; 155556186; 582077371; 797824765; 860144610; 29837664; 402664700; 273036857; 295384986; 869468647; 512169570; 662284334; 348321704; 449654337; 615117886; 204240368; 737639325; 596491747; 1778297; 992742473; 797486845; 812883625; 691275240; 682141035; 632459859; 515103343; 840336448; 388801056; 892168071; 375748831; 832195705; 103613062; 88858393; 178792449; 607131057; 493792001; 566061698; 380511692; 292057129; 740094751; 560042352; 600729404; 107361027; 162039487; 884954959; 937322002; 557776239; 195228465; 499935567; 904078535; 685638759; 451284205; 38748604; 439895534; 507543511; 547482878; 150048083; 466027281; 498317433; 922799669; 245384579; 566291956; 37524328; 394963685; 188508654; 329924214; 783539204; 157453523; 544458923; 789204005; 723898481; 907875341; 343386510; 488856696; 380990891; 40967873; 108288561; 487360658; 487416954; 468762448; 368887450; 662678627; 250780491; 201872907; 786225119; 497709873; 889214914; 26471067; 792380984; 276474160; 215765593; 854211157; 571138447; 948692049; 506930195; 487843274; 170162978; 992498549; 438094991; 774805651; 360452057; 264850711; 858726636; 184755653; 601227390; 316543592; 270517491; 844840088; 644682121; 325920183; 63510358; 40924721; 201362442; 31459972; 666759663; 223210660; 483033461; 261505021; 670416609; 830324356; 69423645; 228346258; 144130957; 200104378; 416255458; 646363604; 748423128; 17669405; 728389107; 849439564; 393658932; 480516522; 377409374; 657639274; 702087086; 963578502; 208999513; 285846993; 499188836; 52387832; 208494369; 297854244; 361550784; 417205855; 298959188; 564889591; 171678957; 110802026; 792798175; 196408775; 182731561; 50118507; 503717502; 409283158; 347159088; 157888270; 982234182; 599070611; 980643417; 621936584; 223208489; 120900403; 565917355; 824907606; 310317795; 129042116; 195587952; 843766468; 756033729; 53502021; 525774634; 308332485; 696973954; 43387247; 743203554; 929938531; 931865379; 894621642; 893770610; 209064646; 146165254; 220620903; 955471756; 525508420; 230197674; 757023859; 140903645; 17960882; 134063743; 527186633; 520177450; 633371752; 394826332; 541179346; 168209535; 835536448; 864549299; 786288235; 404359034; 547750144; 570726841; 561658198; 515267032; 283576921; 672079993; 270310838; 904935060; 174064572; 522453297; 917662814; 695756459; 890068744; 632736145; 28818790; 746411531; 643225342; 19868075; 922393993; 197499284; 907093854; 329021792; 568072148; 432064132; 803855327; 768778359; 744146217; 285337675; 233027064; 235738280; 475069789; 343478427; 974924421; 534925483; 915324187; 404342408; 341314805; 500200359; 664796294; 905539260; 569742784; 650660889; 90036679; 505088271; 767517951; 837870211; 755814771; 691459591; 992893690; 465614303; 584540661; 292306160; 753332558; 758362959; 544812045; 187788867; 129314254; 613506261; 645565046; 748914596; 201265364; 661891426; 713295144; 775925245; 649660227; 270391344; 244390627; 26976186; 439343844; 606581913; 402469269; 194838366; 919249683; 556605026; 275027970; 521387327; 154113796; 7518592; 799154260; 695010464; 833953489; 987125409; 516309641; 77816421; 402969097; 147648365; 564384998; 916198004; 39007486; 381773405; 771344213; 791517741; 48325217; 726881247; 326935544; 87490294; 767356783; 51267217; 888400644; 59440086; 537316087; 992701890; 419747229; 292433093; 785041135; 868286229; 721946957; 665780205; 612395877; 982017549; 533891983; 849314125; 660216005; 205093549; 886638823; 924572913; 460896448; 695965718; 235459061; 328941207; 498658085; 478555930; 987710596; 177888993; 274251616; 759341908; 249071773; 583373250; 232773697; 967908345; 732341387; 497682800; 196756014; 885713951; 990562171; 721624828; 663126666; 122206826; 680872716; 678360006; 656043287; 388658986; 80228346; 802900682; 460344226; 962554285; 251877979; 931072675; 13251703; 229684721; 74512179; 408805872; 846127565; 746019186; 209165243; 196798342; 717835359; 680641736; 325302443; 926427294; 917624519; 240975095; 283842769; 285320633; 923637933; 962848481; 659560206; 274073990; 109517719; 766749744; 159233601; 463262705; 582798612; 332420045; 604803617; 99815403; 309263379; 801913377; 921169745; 507390195; 49351412; 891225042; 186378212; 745450315; 480140981; 604118933; 128803565; 173284915; 623154511; 174667270; 979847380; 360891841; 596192209; 541294967; 984565838; 243153998; 167359901; 472940817; 380902959; 115184265; 7496250; 251733383; 475422600; 493781920; 677275565; 775165701; 429018484; 706707561; 19671681; 24290291; 154894358; 393574615; 862311012; 258913498; 213097972; 412383745; 109564119; 791048503; 967319935; 472246493; 92591341; 498032641; 291626644; 369703820; 23191010; 427282293; 878901713; 188197462; 534720785; 775084629; 408808555; 585389623; 424058376; 729256668; 939747888; 261893656; 166175916; 336340250; 33677084; 882089024; 916749486; 620274169; 571025477; 760787486; 134463346; 260256750; 83835954; 353865745; 17637081; 150483063; 788400380; 288719002; 642624149; 243211747; 438484909; 911248810; 839159093; 387978842; 468363311; 798904821; 331356215; 408720815; 279641762; 396443139; 857431043; 524394243; 728180439; 695092217; 6728802; 729487612; 426166941; 818825619; 412888165; 205173498; 585898257; 158019819; 360563875; 401948224; 397710340; 100424040; 372567835; 337850659; 873232988; 211659814; 492305617; 527630034; 965808631; 336755757; 347408089; 170894892; 852799138; 475314713; 981967321; 848441035; 285282213; 898104402; 372843879; 866080483; 457590082; 722541367; 758059609; 663955067; 913945600; 751915428; 611167691; 117334755; 572447225; 933799485; 354615711; 182142631; 787008926; 142999279; 146579397; 614888274; 609204299; 322921411; 967063211; 534347223; 735928840; 854807349; 860154263; 593424647; 683695312; 305100128; 118864210; 339919170; 225250473; 520580709; 264673700; 402524164; 495370576; 119625939; 202485996; 280585741; 503762094; 875142290; 527859735; 311624963; 105696547; 747399731; 408280049; 431730291; 721763019; 171228557; 842902514; 642404769; 776160920; 893777101; 156627530; 243291; 349373974; 765087966; 774094700; 84837670; 726730378; 355829599; 169415420; 374154930; 805871024; 117318386; 465491036; 893448035; 342798795; 414142348; 252316068; 807265194; 815746496; 559406342; 478331686; 355944935; 166109699; 94744777; 903169835; 309464204; 367036110; 297449012; 113693814; 356161515; 150977603; 919299167; 139731632; 877255824; 497394566; 894601891; 180987131; 981886527; 605378692; 726995629; 737452495; 741994473; 219093102; 937316920; 616216209; 637575205; 222375085; 71921485; 802821842; 6935555; 621553245; 723256757; 191100975; 69800952; 31074772; 599198173; 141417353; 659474974; 263631939; 95607180; 10142881; 262761912; 765704743; 654631066; 122104034; 19724920; 437243160; 969207631; 7146199; 792984391; 37047653; 976980701; 550668751; 720156838; 745601903; 696348992; 313593250; 620244008; 320677745; 231391621; 590232360; 242874008; 678391481; 984601259; 361273373; 896060180; 946110504; 933750206; 908039357; 85014791; 241404147; 300985406; 158562082; 750397585; 195300358; 786077332; 368575103; 235079973; 643280990; 874330097; 838104001; 254104695; 472813792; 442046958; 901817507; 99987886; 691661010; 34846040; 634192313; 633256910; 341435033; 958121013; 808232179; 193807605; 702974730; 276330736; 496523737; 584451646; 361652597; 619197334; 167768962; 927063635; 784901840; 769906717; 363793795; 106302296; 276573604; 566494384; 134990942; 66753992; 41954520; 111369038; 997305486; 27448214; 254759449; 563931816; 575471912; 554623427; 753459153; 887582767; 719438466; 440940345; 186941394; 773592840; 905741581; 631594963; 664173991; 270503686; 340091128; 406701708; 564604679; 450490144; 114379061; 692289455; 520417602; 764783344; 655864683; 458747326; 991475650; 81985194; 964947830; 79535981; 52222489; 431547248; 575108764; 494455715; 580839031; 836846223; 247111433; 839639098; 155280010; 987577551; 357763881; 803316135; 677175043; 534061741; 110555568; 402225595; 101245545; 584903374; 359481630; 436801208; 841677764; 774625396; 353949202; 622432092; 862244028; 516533709; 956641035; 262156521; 993641842; 894887591; 494988406; 435308180; 502212487; 126184386; 680207901; 950664804; 365343632; 179217307; 120170478; 468602970; 119806436; 893119739; 937981712; 410669539; 503890205; 556513152; 772495378; 861904860; 312039747; 147818511; 348518600; 350928667; 821803495; 331540952; 322036758; 921683957; 252572236; 928944123; 842500201; 390453284; 793668457; 500184602; 9159102; 753614702; 155303542; 397739146; 663061359; 630250507; 154844524; 665978369; 415364063; 361103696; 686308792; 992169347; 641021828; 200573798; 128881871; 904151778; 110308868; 365017733; 507713337; 204336521; 288721272; 228366890; 485287135; 573434176; 633447792; 396553272; 366954688; 869603753; 569891912; 891119050; 356937369; 582049329; 955289468; 350500745; 963548576; 408978740; 147135909; 185386174; 567433724; 47076786; 285927185; 335279470; 637760856; 49152532; 145826676; 376582132; 21623559; 689378117; 476563805; 892123458; 996305259; 330418329; 11110467; 568605523; 979703399; 352663274; 911370165; 250801747; 637964410; 117867343; 673985295; 929958206; 376792683; 878192255; 928022992; 850372418; 526394119; 197011774; 786804199; 963649209; 261397347; 482492826; 752331645; 220340807; 165346486; 337104740; 919836091; 957840940; 321730959; 427914886; 933788775; 568069431; 716498802; 247213543; 640914069; 938107795; 305818259; 42659700; 46834563; 103810680; 238358164; 151068718; 486963496; 76651562; 771294677; 312071605; 562221750; 227882320; 796145732; 323786331; 263145416; 506017227; 962610919; 601824209; 323570436; 822643480; 931127127; 211184262; 420117361; 954449931; 619369427; 624727355; 790801172; 125399136; 479488557; 695648444; 206954400; 120238918; 186105244; 674965280; 598226841; 62839372; 366321901; 809403099; 151788028; 29828382; 824258489; 523918561; 565076286; 830930592; 233248570; 565495665; 306171271; 996475249; 256039483; 70600319; 420934999; 981670081; 8561225; 940251235; 204130644; 712809900; 888411709; 904047918; 183383453; 713465431; 133428936; 576879755; 562042927; 356821453; 22903182; 656948581; 45649600; 450958842; 913354713; 737623591; 456356020; 245530062; 29704831; 143505532; 998807255; 408151007; 669389686; 804285410; 415832335; 623157164; 880688919; 776754266; 521076192; 188776510; 611939070; 959487935; 608760182; 712441131; 560490454; 915766307; 830377031; 296963387; 2036989; 661213946; 339983886; 52400994; 74768106; 413028868; 271803580; 828320361; 757694521; 708182170; 158705170; 881909040; 427996893; 195763849; 179602305; 573240358; 349230970; 903789826; 588479259; 933799892; 484457149; 526356564; 897505385; 896568592; 829017898; 986228821; 994145242; 729753512; 207567606; 795150900; 697401979; 310205794; 518157387; 716640940; 702054192; 671516236; 835593866; 132381371; 922394143; 854321138; 26641278; 288345548; 569562661; 893374739; 922607743; 560760422; 68922219; 593491543; 154656349; 107813530; 523257106; 489856049; 171030973; 502054854; 306364414; 990117867; 756757248; 530862397; 686477562; 124588275; 471703247; 901747005; 59761733; 529362380; 587252688; 433785550; 739420563; 980421667; 317777187; 188995250; 296011612; 48010352; 794090563; 148248120; 850233010; 411810006; 463622610; 872368977; 403167054; 897446352; 167143701; 56116635; 894842726; 178700708; 789743111; 740621723; 31207345; 771566845; 159251234; 496034505; 831346329; 413623623; 114963052; 465233827; 148321755; 889416968; 358079469; 351954485; 827373390; 780336948; 552298162; 655108231; 974548979; 945778847; 563473607; 700847989; 507783183; 96528717; 535239795; 284031564; 702200285; 528635268; 59587954; 414261700; 881936920; 500511905; 125619221; 14452663; 122964142; 114968247; 270172815; 310370963; 229891866; 262071725; 637728823; 467250928; 382605208; 737557033; 684354820; 792326008; 654361563; 111090385; 439900336; 136006355; 800655151; 588884485; 243071811; 615019534; 208566806; 248717088; 118429648; 930859354; 321678701; 760322841; 907060451; 967500506; 319624540; 363529680; 91235816; 970634202; 430960463; 609416487; 643871339; 318696298; 888867896; 867763669; 148144905; 470112059; 712856948; 201064634; 438946802; 103123157; 469150263; 906209462; 946344563; 535191639; 443106913; 56152086; 346903884; 644151673; 875445357; 661009490; 989092979; 619169424; 949334297; 810873048; 170858833; 59653529; 359650450; 640326280; 428946327; 770837982; 634442379; 293655548; 551950508; 551648803; 834062451; 151173558; 333200299; 348647914; 984703426; 333596333; 858211804; 561851164; 806237886; 167165427; 837403292; 749805515; 628572576; 494655843; 366959825; 839488381; 840260167; 494138259; 297808612; 893194248; 124286964; 363891002; 809064066; 517963391; 885664494; 59160324; 754118117; 416839325; 195756071; 821439470; 548554567; 939357145; 552504900; 82440261; 258395798; 935624023; 71190970; 280790479; 555978146; 470172162; 34520064; 204587056; 778064587; 952790414; 561047196; 630210732; 619668130; 125507602; 80397813; 395822791; 383864227; 23378705; 51794298; 67750768; 850126393; 201855331; 697559359; 172025993; 905580798; 473186795; 183465560; 505883149; 684169657; 118418271; 230156695; 894857395; 163837297; 531074578; 559061344; 304165242; 490747400; 66485587; 596752912; 133742425; 965548111; 578236796; 903165249; 752435594; 130083264; 499875124; 123909349; 344388744; 599605843; 696168228; 614382534; 901908089; 633817464; 211154931; 147000631; 553776424; 324790148; 279178657; 839830495; 879237830; 304257069; 186748741; 210730427; 190599768; 748808881; 871865927; 717969038; 535978059; 358949544; 960218507; 855646915; 491743483; 487507393; 652488398; 832856949; 313311144; 587496292; 446265885; 688011135; 397385061; 106292696; 257239453; 579551372; 192128097; 220333209; 551825050; 130065547; 910741650; 129708968; 930890062; 757505171; 570922336; 172646426; 90858516; 990871622; 896098402; 805956707; 561337442; 339258466; 296588263; 682806413; 92324789; 774074227; 771763939; 625686167; 71789638; 798437213; 661455702; 603251630; 396815831; 452001521; 238577919; 453985900; 796153636; 906783031; 416360878; 942672055; 560502; 542954707; 482438181; 773470733; 741300610; 111450385; 812338903; 5487072; 779763712; 521666564; 12280389; 346882826; 703890662; 892551954; 485841806; 276850210; 338192111; 488328367; 168421843; 822948536; 729613428; 829563924; 459246234; 852975497; 566627607; 683708010; 181914040; 648963640; 373569200; 907619696; 959603391; 419968966; 532729869; 160865597; 498869816; 782302473; 587594814; 621310086; 297648197; 754826319; 345640377; 310014593; 627062299; 392186480; 943095832; 730178786; 895061623; 176584029; 325739235; 961636966; 987156653; 627432169; 106241720; 824381779; 322826000; 663212520; 191382508; 143179546; 354511491; 369913190; 498519639; 30149272; 65581840; 106236163; 546362796; 603742125; 202643957; 619040047; 771967871; 586954909; 947750245; 496980132; 447018734; 888802386; 177719059; 131630658; 339479359; 683315818; 593020947; 941283312; 194650087; 450157803; 154708017; 906223515; 633820410; 192202036; 158587839; 154610461; 726123810; 996168889; 483547130; 816615442; 355898710; 739000257; 393403002; 846198142; 654849791; 569102334; 937744526; 134765335; 18424328; 304817560; 251288947; 782041247; 429850178; 167653120; 373258807; 394422831; 736336049; 152983309; 571350204; 657407158; 992098086; 12961438; 908351643; 585811993; 679309305; 97255213; 204583774; 745869995; 506245299; 836960154; 555487591; 525265569; 486488756; 874064076; 460638694; 921352767; 806276623; 542884078; 189257429; 435177937; 225378817; 159190793; 539668114; 350660349; 48184874; 520591561; 613816561; 212351651; 509826047; 39636903; 884562169; 928474127; 441262243; 120548227; 862948313; 65028574; 169000667; 908836391; 507003960; 471285150; 143645322; 609493250; 135653081; 428437601; 684333942; 665367285; 921383746; 590323843; 776251016; 785630492; 815870714; 11467123; 352592544; 312263732; 285234175; 343326782; 348324488; 513995807; 508040357; 777113542; 951091777; 517402870; 637644471; 944922382; 413779289; 247968200; 458193942; 760291416; 354911155; 19070025; 245822249; 513088595; 649922224; 878634675; 209305763; 966250415; 840414919; 707248297; 399076743; 564099686; 854333093; 919756608; 634353213; 824078852; 849535750; 401876186; 673102838; 816261620; 959518090; 432870981; 455332540; 184490139; 629449375; 852594520; 316752706; 738688699; 553092442; 349366188; 631637879; 94590781; 830208458; 558025688; 455505955; 528470567; 430963901; 229802822; 244182196; 439885777; 737779146; 671349703; 107983419; 652183127; 737391546; 416694914; 46428632; 744839277; 788310232; 595752023; 158233343; 108187196; 552511378; 186119698; 659260408; 501758311; 499199030; 393224126; 670518502; 397048807; 234387995; 398680132; 611846997; 78383793; 659182628; 21093709; 300367961; 722045384; 791814408; 488517144; 890917224; 68187061; 438907607; 89337043; 352103997; 549214371; 884269453; 901155286; 927539970; 690032329; 253374797; 832515741; 515976604; 163779925; 201216582; 389580342; 541121509; 410349594; 531048127; 334350789; 720258708; 792356343; 739896567; 618357999; 352294268; 503518160; 821392572; 287431166; 639545430; 823168314; 307026971; 966037919; 985764237; 663108584; 553757560; 4341109; 654407770; 954935272; 779844989; 415830439; 768315642; 897167108; 643785475; 701552621; 452427360; 136436555; 673997088; 5673621; 507147925; 887886829; 263805579; 908867825; 117907310; 912217052; 153272806; 533464688; 418640017; 47692837; 673952602; 828197198; 512166334; 917227558; 438662946; 922889933; 630006721; 351249583; 25620101; 530276902; 917186543; 315126802; 126514347; 113814093; 953302838; 702023834; 276009714; 999850003; 84936663; 980757889; 118496758; 96832531; 35006274; 98031213; 645877692; 274448458; 249276093; 901360431; 999811172; 416265247; 324407250; 642950723; 779514959; 109209382; 956064847; 890077781; 835471026; 552521145; 608006448; 708261921; 620556702; 799844316; 358486079; 156421274; 30417672; 607035688; 265397862; 102458493; 269667822; 557036394; 541557777; 244576739; 475796991; 569363308; 889695654; 867259509; 84250926; 93710115; 869415849; 894241356; 655955794; 472635026; 997531599; 122565270; 18211049; 520911932; 905844007; 751629009; 940338956; 394678858; 191786217; 891650592; 561719551; 246766857; 400880546; 19054753; 657343654; 223812333; 5327902; 980713553; 780899248; 416005863; 767432963; 195441645; 156857569; 110345834; 254638977; 299710109; 718578167; 462314951; 90950307; 705040222; 718547439; 675497988; 793203853; 58165013; 135082490; 860633973; 675021861; 740961612; 244504750; 692729671; 468810569; 10109869; 842043443; 208593884; 545852697; 989034248; 315788225; 773137277; 214306982; 43924390; 270620929; 676584667; 886907645; 753864983; 522166492; 506755685; 784738470; 741146812; 509200737; 328194388; 88330115; 292803896; 794412343; 422253090; 497676400; 609502806; 506957503; 307162290; 338393498; 238955057; 464897857; 9694983; 965916061; 196739682; 89313150; 3004774; 239826176; 737832581; 467400795; 899358846; 175774063; 357574465; 308026850; 735716002; 903304201; 756325246; 712610092; 753421336; 572457816; 407334489; 513276442; 591742398; 65595398; 775233155; 277614544; 915039191; 423511113; 332840832; 246296063; 447620496; 94940561; 995227741; 496127760; 436546702; 261708418; 796785121; 776619704; 385831504; 237024445; 379006253; 615113148; 928527371; 137709036; 507646028; 866111104; 809146548; 287901617; 215293975; 778568726; 509014195; 670853524; 112504188; 408585370; 671621569; 333434837; 477713799; 454529581; 5370662; 116442963; 721220380; 591491209; 924975630; 133659786; 510852096; 166115606; 648294180; 554479298; 466658177; 769317744; 641486082; 135091669; 496606687; 253936845; 209103798; 368281422; 299719982; 492184935; 694811018; 765015080; 971255649; 166119812; 466964229; 961273385; 20871786; 411511297; 552979442; 142939488; 905178983; 848617703; 452660138; 431610392; 877581622; 400937345; 239131087; 761645203; 206895154; 567547753; 967073586; 388435628; 354141383; 216956207; 762850121; 986681408; 230323688; 796452571; 634270763; 688156504; 96756363; 729054437; 190678546; 632022567; 105108485; 473617091; 68715423; 991648071; 631205371; 737509449; 641874860; 568267702; 916151757; 578700538; 848478409; 38787185; 724873244; 511872723; 863872680; 945395930; 83787482; 526760120; 247728070; 632193527; 822121371; 375492926; 940763459; 306466361; 768653638; 422711968; 45470795; 578942469; 354096470; 258505563; 27777715; 197001921; 533814782; 398435349; 183938499; 879391393; 940201110; 557143784; 883292710; 973351512; 985184330; 975263815; 166613410; 801898611; 301157163; 646554907; 820764831; 268915697; 204757494; 999404135; 38573352; 376841334; 634703713; 407423456; 450646831; 315309115; 802168357; 155103734; 280227435; 916413715; 308180292; 54497083; 550978914; 940932120; 579322972; 412803393; 774269326; 618765908; 185336042; 595824003; 52256028; 61811449; 488024852; 460020474; 159743991; 319988881; 191001741; 124442620; 180311571; 341723764; 342368399; 84083583; 960114977; 483375440; 528859630; 713035442; 247954439; 889409403; 798369251; 874593304; 969607915; 873620638; 435904635; 96887427; 307035768; 876756406; 264823780; 820821967; 316659616; 268152011; 264436824; 828499712; 689920431; 648245366; 432276367; 384883299; 95891726; 123185057; 134964946; 479664032; 837568046; 156487816; 140505009; 489429671; 358604094; 322048270; 633341553; 890748396; 490526790; 207662437; 542484635; 236881541; 791098454; 440470978; 809597047; 119227929; 438040740; 918264969; 478505930; 153444458; 846128046; 570264549; 12757834; 93213380; 239466018; 901428185; 478247049; 767773274; 779997665; 663161874; 771471076; 131889902; 224700295; 69119347; 778928446; 290242546; 220900143; 482641315; 392016875; 763616911; 307446367; 445792133; 513363104; 617136989; 317775920; 94108073; 459462138; 424824665; 671587024; 885870674; 5592035; 73326943; 477918191; 376921053; 825545330; 938804136; 169523479; 729047496; 401138333; 653464787; 613254213; 171141043; 119499439; 763029052; 128953891; 378321681; 353089455; 926769273; 892390362; 384029967; 588075542; 291319894; 450482607; 507045341; 416652315; 14235798; 927248119; 964387930; 341778092; 4904033; 477206654; 109448714; 835864949; 666848687; 396743099; 701337638; 686843627; 584688755; 349479095; 714769792; 177900476; 485779600; 631953196; 171923259; 958361803; 512631027; 150462729; 892102100; 28933801; 863566214; 951235275; 965690567; 895773752; 783028928; 340202823; 913990755; 409521785; 172941467; 385400663; 110651598; 280524662; 122608601; 786544557; 962861710; 28718474; 671267307; 582408860; 777627451; 815655; 410762244; 936167693; 21293175; 57274010; 824173919; 764743855; 107178466; 876948704; 700565135; 781505695; 160910171; 630174148; 947622828; 507614358; 705702577; 127249627; 166417060; 608983170; 338602556; 315245071; 539682467; 59545020; 423306346; 970391448; 188865159; 850461178; 497493975; 713392801; 455568205; 442393343; 964623111; 420466744; 270684487; 229662437; 627542146; 449569012; 700616169; 784079762; 784476723; 549122327; 875263267; 632893451; 717304143; 823918420; 897147431; 869837697; 598343087; 719174759; 261978601; 586407675; 687071631; 409504491; 440626393; 168886132; 698812644; 887132519; 635195208; 634119601; 835153244; 652729070; 593048275; 436878393; 889655075; 833193455; 634255664; 983289239; 556158646; 653060944; 511327498; 198467895; 791712181; 662274973; 160275673; 784671161; 145517634; 857802443; 532841373; 695973673; 860631939; 320610875; 913535410; 594354554; 453333644; 745933056; 940736039; 109686413; 678024881; 889495964; 366855229; 705219429; 595221998; 641103846; 223543494; 526865776; 533506606; 454031750; 54499518; 677290520; 824430367; 221693726; 465248439; 172739941; 469658795; 68130181; 313005342; 442091731; 359210851; 299621555; 356307830; 22295235; 666305576; 622266923; 344337827; 165658509; 652037495; 501550314; 934592887; 798490895; 872132761; 747609964; 238639496; 840817221; 783231998; 877167674; 544220997; 243625454; 729401512; 478359033; 756615423; 391641029; 856482511; 227861057; 748565064; 852915328; 506612224; 834752900; 763838429; 338202842; 814912124; 591892372; 128661681; 934094994; 756575064; 453721288; 88422906; 635602321; 338334357; 239223545; 337092972; 476671606; 341428223; 137413326; 139131672; 892905220; 629364019; 849091202; 236790266; 329505574; 444460767; 20568624; 882248642; 2571008; 508417123; 531777958; 98515365; 899558091; 366851045; 375500438; 823336369; 185072236; 716367241; 879425602; 843030322; 829922287; 570456585; 549910778; 936616715; 339764094; 802778611; 479994705; 258167503; 211609914; 354193638; 361373432; 208127450; 669147958; 826210833; 705612307; 736094989; 832675084; 251454220; 141879804; 317138609; 107638312; 478012147; 272168494; 767578279; 221529469; 781754373; 105813015; 130798478; 410968860; 80185502; 625617539; 601848511; 355838495; 832857246; 911703546; 133411427; 469568635; 560925770; 900330414; 351548369; 3521477; 566349368; 648214794; 105609513; 138052287; 527544571; 458921545; 899347973; 669011974; 213036557; 337997768; 651554644; 582237327; 369908357; 288392361; 931443119; 395666848; 634908216; 297400652; 53749325; 985362747; 849770548; 943471335; 577124761; 741133499; 411393452; 439144223; 411107905; 675931188; 319514963; 979596665; 133022527; 828349289; 730068827; 440525399; 199516636; 286611426; 95976589; 571025998; 756915492; 197932383; 875148110; 222987792; 831159435; 348355885; 460891660; 206218143; 402871479; 83813266; 752561462; 709600121; 591353859; 935833269; 571499364; 344470817; 161531517; 157660765; 574147021; 722194645; 474544377; 586479999; 436254832; 963581782; 83386059; 364675001; 924879790; 892140219; 734061755; 63714833; 640144659; 561489995; 538224973; 98611417; 980310766; 83939986; 600038470; 637359607; 847434528; 797840770; 435045202; 352724430; 461737152; 225529477; 658663412; 525174222; 232830628; 239013097; 389208690; 862778801; 699304414; 974103199; 850857442; 102390193; 350817921; 19769815; 831552803; 300288574; 173333411; 329164610; 900841820; 799731376; 72906687; 281409880; 210822534; 773384747; 568208095; 98368083; 311027377; 772054171; 111607737; 998775245; 877965950; 290733275; 232324037; 511912666; 251004446; 944057988; 451918023; 823202324; 299577984; 614092414; 260429315; 182788002; 504076169; 487777101; 139161669; 28978957; 275264637; 225898355; 872101988; 716323700; 373421581; 253965309; 492186536; 266040325; 520337995; 770388705; 568140945; 647065312; 476512940; 700480455; 801498179; 802126142; 373571515; 309139971; 202957657; 793611974; 668845100; 524851603; 525580314; 795396431; 331495802; 947593319; 278941415; 46460631; 399495589; 869969661; 663459661; 660089309; 220427491; 76170475; 710923557; 883978192; 39378973; 791513838; 501692383; 665566328; 314670657; 873162949; 787055985; 989856616; 461642927; 756218097; 673134320; 550646990; 167978831; 50225130; 297968503; 261024236; 901966420; 735535302; 480005979; 454662903; 12284259; 332989719; 416696146; 515271406; 563878313; 632374245; 161487509; 839853148; 463756670; 640148867; 966165957; 983734178; 110418001; 929665664; 979457566; 756656205; 890679259; 166761221; 284327074; 548143379; 376951296; 423301823; 377083143; 394729917; 800172293; 150773581; 682562039; 426895370; 112219566; 762148519; 373765500; 620985558; 932118422; 803436498; 668130678; 532541389; 212465492; 435215084; 158206717; 41537335; 503965950; 458891305; 469296292; 991983343; 495971328; 233501683; 350615076; 505237700; 324847168; 326165811; 366364368; 240129627; 432376761; 388043699; 152534796; 643603723; 350136296; 967140723; 841749929; 768184502; 616739699; 570309872; 644191368; 404157378; 659097853; 776551810; 761009548; 881778884; 182658010; 699473127; 287736986; 529659709; 150145514; 987664547; 574303751; 742069178; 374237709; 500672267; 124880668; 3895767; 906774767; 866389653; 138466184; 205044671; 405986188; 381495968; 839167681; 79512218; 774735974; 852403513; 288563692; 132985625; 610694726; 142589782; 719163698; 647984266; 245202702; 394953902; 685589902; 370855310; 868642456; 365302141; 763344079; 995595732; 427368759; 55261273; 107112901; 288958615; 793074691; 324769595; 605602454; 518650577; 283481077; 425786462; 163353996; 889668473; 680023596; 820601010; 902353307; 234537997; 527015514; 374605913; 909696535; 784238847; 731923122; 248043141; 677813857; 535241674; 89867068; 470820513; 660983971; 402715209; 29077263; 507950105; 726730471; 214534764; 319835341; 477215941; 141035693; 271594671; 914200369; 48468211; 906995098; 801984257; 213884299; 976741911; 46407092; 644929628; 549347332; 410239912; 257511055; 417214772; 276780936; 567133738; 528754063; 834563967; 782074958; 910072082; 990358342; 830481457; 179270087; 359905609; 367251770; 56166012; 606347880; 559912710; 813222551; 44867473; 501168792; 766627230; 831638985; 166917183; 422896387; 235070050; 896975975; 869158698; 815216959; 438560061; 130190749; 215614604; 4124245; 210343113; 366385810; 500362783; 546193836; 43215051; 354975937; 726436418; 464437300; 659492013; 629558502; 173981846; 293171207; 638219006; 758724823; 23707600; 92011142; 542868481; 785832991; 45514816; 993115166; 284210122; 749322879; 386815938; 173410293; 264051670; 613763945; 696895445; 15086443; 64848866; 379968600; 197006680; 575664811; 328013895; 629264989; 538227647; 335517499; 361906969; 39427217; 283825337; 280275181; 952971143; 933337508; 706756096; 324166706; 271803859; 12504750; 19974332; 515570230; 250913556; 815366834; 901619452; 733106703; 568882338; 899483463; 390877069; 459953931; 85464906; 40505771; 624637120; 600674771; 626360229; 703887121; 419568224; 887163591; 601770453; 362619547; 826548447; 902137712; 132411985; 392301499; 22693515; 900769122; 904717469; 258760463; 693419132; 813690628; 393283760; 980872786; 769697529; 7937261; 343331663; 922598235; 959059855; 1919403; 905020291; 19537029; 447824694; 83576387; 210872580; 663973659; 97492767; 725318255; 761211030; 633397170; 673517225; 722515686; 396391501; 884040212; 483029354; 698317665; 681204005; 595415319; 698137425; 177041382; 385436595; 280657591; 786395036; 2316314; 555354425; 792487712; 522138828; 916373268; 978168103; 387366474; 606067889; 346962517; 288455207; 434297148; 186368362; 197930681; 978842432; 667898252; 425053863; 998275141; 935434408; 679017407; 526532744; 730682128; 588310224; 943028887; 726943702; 252340066; 950311849; 278960048; 182604689; 294114584; 149733440; 817520121; 646833490; 892135119; 69643032; 56898201; 40576712; 669412734; 397277190; 369002984; 250542402; 790687183; 264087273; 763015285; 619169001; 102928930; 996378917; 597315401; 775457810; 754194205; 692156911; 47229571; 584486795; 773461985; 473015636; 936723381; 770321978; 540594278; 855737579; 273731821; 19532456; 892209266; 930374199; 909484189; 226589693; 383606382; 437484438; 843353235; 180493494; 31074068; 987150103; 109152981; 239057981; 598176220; 578931775; 234123307; 694403138; 306927010; 86457531; 378027192; 678583736; 5740535; 462964852; 348471064; 863947755; 848364515; 781597259; 831935021; 970199383; 635344115; 407028321; 353130830; 90394691; 396530676; 816815406; 225421591; 495857643; 425141262; 844777245; 883132238; 165644105; 721002174; 523519010; 613006877; 791405040; 435038744; 430961716; 122223148; 773057392; 256979920; 562282275; 584839368; 222147190; 462961335; 445282659; 889525558; 708163082; 469537945; 891079184; 676983051; 256831379; 789475076; 152130578; 390325827; 798509711; 913740661; 811225104; 796351248; 477115385; 492105962; 684710404; 863057899; 489858720; 261062014; 16651325; 650920130; 394698582; 583075511; 131654334; 258869183; 465821411; 23269182; 763520875; 609521671; 939510917; 289960770; 45407208; 404623837; 971876729; 462397213; 619086302; 137987189; 902988465; 525576516; 170111880; 341656179; 905167467; 296019775; 430806458; 124363613; 978768218; 296389170; 627958005; 655964770; 625535984; 57425965; 93792867; 338947882; 114878362; 5171519; 242232656; 961163740; 260187243; 719149499; 221099926; 18403705; 269041831; 656151748; 229891540; 732777824; 964511683; 637028398; 878686546; 944145878; 402865511; 228019652; 169845547; 902352984; 958848549; 136748122; 959990382; 858140713; 294707128; 808418969; 334308342; 619928447; 328306850; 206451800; 435844773; 199025214; 541064359; 608019246; 925333268; 935604288; 500138604; 178924976; 368030885; 10904453; 367798779; 833833859; 372789296; 578207504; 112243667; 957684036; 513861505; 490140794; 762123701; 580727665; 983475088; 203846221; 226295203; 857727811; 820680867; 937536681; 433470260; 133424480; 563296038; 883486664; 431336871; 698542386; 685988732; 315469180; 957608564; 785674739; 445441879; 493439907; 635363348; 185686736; 720903134; 858079057; 96434374; 152021295; 126247417; 32651113; 93927807; 628227467; 175462847; 243278476; 387388337; 648499160; 141984621; 111421223; 588802843; 390372525; 871820060; 346368767; 318827524; 655329735; 2195018; 587284148; 846630632; 153270631; 588787264; 985076680; 795219954; 142664243; 414751783; 248276241; 756905909; 928698281; 72399084; 194373370; 264953813; 416751469; 61085048; 890921461; 57132686; 711153362; 796513629; 677622795; 883069101; 672622034; 954107116; 99760828; 300793912; 289468788; 552532652; 562657521; 974619910; 774845487; 157253812; 647097364; 969379611; 311838174; 313707515; 120493140; 78926016; 635465380; 696466420; 90732205; 8698593; 630052446; 298132652; 866913630; 366665770; 253077527; 594963777; 33381794; 635610504; 912902194; 187790098; 13181142; 541206956; 271446571; 255186211; 377768255; 167632508; 960823115; 566820915; 947274340; 533524180; 400013185; 828498796; 844880261; 503856382; 811938466; 40471060; 441452474; 280082831; 289343636; 400023726; 347292226; 500152893; 72150792; 615694946; 942066479; 211687170; 377510665; 289756261; 767304154; 553143144; 100544804; 908776349; 470657665; 127555862; 969747043; 10811584; 558683526; 391023227; 475245702; 334884370; 325001973; 577926949; 140909008; 827958606; 380865224; 517730849; 709616434; 177758485; 503019056; 124227149; 478856898; 227518239; 705353873; 525439791; 411567454; 151569478; 795451578; 519095346; 904421715; 953643655; 308959187; 965124903; 688599845; 731157625; 464700355; 932882395; 51431780; 67243725; 976739293; 552289707; 483784608; 423638223; 997563486; 696477750; 286648187; 854978098; 426837814; 827615551; 765239623; 842543176; 796591735; 838475420; 663292186; 610359737; 92664276; 31702427; 805248607; 155698316; 510229788; 549029033; 331713383; 306752838; 383545415; 302191626; 657284313; 280973126; 798862721; 308014264; 546031856; 517670544; 835865675; 701829425; 322029157; 81065154; 316495571; 54696325; 571191728; 5335867; 774691108; 40169435; 422519406; 60176515; 137394853; 789526718; 178305649; 56978192; 276222714; 427710483; 785407383; 418437007; 349364699; 835961586; 758701695; 771421772; 171920640; 399299845; 732219075; 42585112; 533779177; 783914356; 683015857; 316681019; 586329111; 715464328; 427082179; 11190868; 95455382; 612905135; 874129629; 526335048; 320810998; 351780057; 635206482; 146182981; 429273595; 895552847; 945921268; 677471298; 850503457; 88447012; 929712058; 302782058; 123955111; 732722521; 544950426; 226810990; 580817476; 684829679; 749592241; 542967851; 276411972; 898650506; 793161611; 807966269; 768820571; 284075625; 695522401; 956821185; 800125006; 75055031; 962932811; 26257358; 80251680; 769088021; 382052572; 678934760; 67420375; 874657805; 624688366; 605732326; 262265134; 925645698; 236270829; 110507421; 157839926; 59592681; 155890635; 188670235; 905843758; 754823048; 495026555; 176336234; 406142975; 645092306; 508933605; 242592364; 461092820; 825810846; 303658056; 960080476; 617869252; 482335596; 773025193; 466273659; 320307531; 95279953; 189056370; 501860144; 342617327; 306819175; 910836658; 169119665; 89516117; 895225223; 12007320; 358430892; 586190485; 34417219; 638866076; 591577651; 689244006; 26783403; 289046137; 825841765; 629605311; 887561206; 801058514; 764608296; 29599168; 22793186; 76735196; 79630950; 916635170; 263769362; 414568114; 464321917; 555397290; 820506634; 599208628; 96125595; 837792557; 707460949; 145540672; 352971819; 301603880; 522763502; 630935117; 927920989; 358939256; 464416006; 12854451; 838932152; 508239258; 148550208; 787821103; 493639467; 637763841; 398216541; 38732460; 494347236; 693723097; 77670697; 829696252; 226394751; 398827822; 620096317; 702277404; 377061960; 998901179; 311781290; 926688238; 761938581; 168791757; 766104021; 853691588; 773220657; 80636913; 997136156; 131316170; 837945065; 777454145; 955250471; 206075619; 979603247; 602643111; 500562628; 8136657; 362669890; 221957051; 492119150; 306144364; 30209899; 372451582; 856509579; 981398285; 11873727; 129049984; 974545956; 767929296; 475089603; 971886003; 511926360; 666866138; 855353642; 329926176; 219767328; 828070180; 422730265; 538056525; 711541834; 755512747; 979061006; 181046924; 322900187; 631351012; 600859123; 922706132; 798202824; 995404606; 310006911; 113307031; 974826372; 399919881; 20313367; 33632615; 741326540; 59387850; 432455066; 288671896; 97294062; 952708180; 206269297; 154657796; 231798498; 983950362; 416289491; 902831039; 615891540; 736329339; 276311493; 582300027; 724483915; 481157662; 158852983; 865733829; 28735187; 401607252; 940300393; 787883183; 835677038; 228773236; 634745171; 269668947; 780369317; 870560943; 419074246; 71220731; 768525566; 891335333; 214352838; 276461321; 691279459; 616134541; 504765210; 465319606; 381452371; 820450842; 643125613; 440816707; 373300518; 564389399; 218661447; 837758997; 222185815; 148685957; 335676136; 418487888; 709396918; 673791031; 469040997; 393649286; 832903243; 258130257; 973015684; 13234322; 811236120; 938049459; 945373125; 979729847; 762266503; 996917742; 964824262; 903329751; 529617363; 747599218; 990823627; 798390823; 353805927; 606445627; 584897498; 387001101; 902911576; 851679362; 948614433; 698723252; 242731621; 378798416; 182066888; 371213400; 999429233; 810646541; 687345911; 358541628; 787914706; 727608893; 475076882; 522033594; 13058470; 699360716; 865049020; 561198955; 648696344; 693576436; 799233467; 912461047; 709722394; 639739299; 856911528; 923166831; 615281606; 845987592; 740301524; 447244682; 309807842; 260895942; 777323689; 411645852; 105481718; 492880528; 56828371; 984487423; 939469865; 109854138; 462641880; 302569297; 753631886; 357492955; 791134853; 974253624; 919872955; 390245348; 833402767; 607915465; 419993766; 869859578; 255888493; 645972826; 614822923; 861496743; 453939774; 652327063; 636692058; 26961949; 393348929; 577208754; 570384349; 915464008; 555603908; 688080143; 739867290; 278667745; 852496861; 340240289; 274799760; 834123553; 676872267; 873358572; 747351498; 542857304; 877843704; 646459977; 316765278; 13930173; 634453191; 776784081; 515900594; 513100554; 391542313; 277921695; 830225473; 785380638; 271857327; 70542421; 842102462; 532670509; 818649580; 751543355; 121119619; 161668041; 67271312; 11587448; 746697016; 5815704; 921711072; 455808595; 611623731; 75143801; 747708738; 359458004; 289588999; 300164818; 7218314; 576126946; 355454873; 134085123; 568227460; 266095195; 895382647; 759100076; 186887897; 503804915; 698444275; 1303338; 452137144; 946822488; 956402565; 888320654; 971272546; 463405661; 985436841; 316483605; 483563761; 999417010; 409158569; 298782710; 270977266; 942134475; 934408220; 517190036; 468709465; 333404333; 403664744; 47084799; 36330309; 106144999; 266455191; 626970100; 853603880; 720670490; 111144959; 892912098; 233179826; 951407546; 484684930; 816685322; 14403859; 120167585; 100472012; 901721526; 905717422; 497610121; 245786690; 971912593; 595550001; 619178743; 651303552; 414328581; 532041263; 94258691; 652679665; 86609560; 271816928; 768918537; 506849117; 883072504; 159342653; 738381828; 807797342; 65167708; 579130706; 92369748; 194340084; 446759947; 154870070; 588974633; 198917824; 884453032; 911739598; 905587893; 27199943; 83269458; 209921886; 526370086; 195582269; 576265621; 579569864; 813758183; 688907048; 883112835; 679864341; 818278955; 58846261; 614856158; 847048235; 619491944; 466675950; 78789834; 133330722; 85048607; 412694965; 308957872; 916326502; 249420990; 27464433; 96548839; 52867228; 482257041; 25450655; 221395468; 331777688; 691107656; 256088944; 713890515; 651776348; 101440838; 566785316; 777461547; 228634008; 695324295; 970362837; 272266352; 776084922; 368279583; 306674439; 393434752; 315185721; 714747355; 449158848; 997891749; 575699223; 182930309; 313694453; 797437133; 292740822; 95560805; 489825763; 259806195; 529647674; 747149176; 957072515; 930826218; 679585112; 674318242; 761725325; 398470022; 108923066; 45358222; 257001088; 488737298; 241332224; 593950965; 438075066; 535411989; 518770077; 337421363; 690976482; 317299601; 229968987; 531544099; 477972526; 342858643; 90204496; 319804246; 161933161; 363480956; 631723618; 735494831; 500730910; 725016895; 237396589; 52731275; 613024988; 394139220; 69800914; 333125088; 74275999; 776228724; 933703839; 895745222; 666202886; 333351230; 515288710; 260228570; 613235948; 784408227; 920314402; 198983555; 883739329; 118119155; 1314806; 655870883; 170317759; 71965625; 29859368; 980426024; 25680078; 17978464; 107632410; 750798799; 434375292; 979585387; 167394995; 219295896; 441210394; 598073505; 629489128; 503029683; 872587973; 10702330; 798126599; 921818727; 979236600; 941612281; 710758608; 924291445; 976743214; 89713257; 265059590; 981230401; 843310683; 520938987; 291592371; 904386679; 319001396; 113607103; 725847323; 589987618; 794694413; 734197838; 167538740; 64441325; 613554745; 177713860; 926939769; 21763073; 557309378; 199008331; 254922143; 225195101; 421981080; 498384076; 774473617; 331234859; 865283235; 934930609; 905353017; 963705139; 651484089; 210724854; 423578566; 695541503; 17919456; 545249524; 65238734; 765457386; 327660920; 792104583; 646752630; 357839751; 12591903; 226954702; 768422548; 58765345; 956916646; 726903987; 211954004; 906500141; 106154614; 54748039; 414414390; 75149149; 972476262; 989209927; 330668258; 843836362; 320977684; 748846096; 44580453; 190809275; 978596989; 308659624; 275412907; 147180938; 547647937; 14690205; 806866898; 359958094; 56971225; 241209220; 112855212; 937691826; 538654852; 525096766; 620049389; 782660260; 720924466; 44559752; 714797745; 165733089; 546450930; 549937395; 986113491; 544164994; 839487137; 627292386; 367194578; 746782920; 348056578; 588657227; 786724684; 303346008; 226967049; 134363643; 524851289; 465256257; 391600851; 271816188; 415848525; 211445857; 346962517; 21379632; 347435685; 486524888; 751882964; 937956734; 368700789; 131983127; 287061992; 603820209; 645783901; 644259818; 670100040; 99107159; 872760311; 660081346; 667370232; 790345479; 306882574; 641444723; 82647803; 302909309; 79945067; 84803397; 968793904; 607659918; 492556144; 14697269; 964087087; 479901140; 921061463; 506497985; 466313742; 939127174; 814641983; 644859558; 657951941; 302252831; 236052260; 75297976; 579992712; 216630676; 479175455; 227724935; 734508726; 269402372; 132804373; 843732932; 672970359; 740183346; 819894740; 792788794; 272605491; 172489088; 978904410; 124025700; 764626958; 771078826; 930171120; 791434755; 905572640; 784788972; 944670367; 857769900; 839261637; 9594810; 21603400; 505674287; 880593418; 154019928; 521074491; 882577849; 456519813; 564021901; 393284413; 897061608; 830248440; 848871373; 583033859; 910679957; 791147321; 661202118; 339367669; 936626914; 59929433; 341109252; 157560603; 435863277; 577447333; 362128643; 864945983; 62389073; 756117584; 116578963; 181681040; 283250950; 693510016; 467333107; 575079923; 456568635; 16637679; 868389577; 463060698; 774341709; 890428627; 639933602; 208317379; 927303711; 183954074; 363686409; 722445291; 990613859; 623663050; 842011954; 218863088; 835816007; 715297021; 415331564; 789388359; 157484509; 485540153; 242294939; 849829400; 650545651; 710009614; 915979997; 151580704; 550927066; 298886974; 268424250; 369925581; 613571583; 499664023; 177851543; 52654554; 533753285; 959813892; 979201252; 777086219; 551576833; 208673905; 503915585; 353936619; 889404925; 272324092; 389528009; 999839191; 130872116; 709319892; 720091222; 353658467; 778246500; 402441242; 774166153; 736775515; 743919106; 982160236; 491154165; 506895893; 303042686; 943607163; 373677820; 587497446; 988628839; 227282748; 397954754; 15411863; 294599943; 480961678; 910117201; 904592286; 562812227; 552283067; 399829815; 574944305; 968694116; 965843832; 438930486; 5022343; 622134929; 76748049; 289234571; 836609726; 490012629; 329161652; 402442218; 419370560; 633737295; 521670862; 169724533; 433529267; 438529052; 106417334; 985734045; 114258302; 481620854; 166219356; 371301632; 615858922; 933295830; 880654542; 253209112; 881361464; 625265286; 39978427; 50074429; 455650705; 702022074; 984694110; 417789802; 289604331; 932424707; 241747896; 141277632; 70220177; 220028656; 545508748; 596462002; 744441721; 134043637; 195322384; 25789241; 122717981; 940299381; 68797754; 152668259; 537168582; 728233051; 582947482; 430997905; 876347615; 783872679; 900688430; 686403473; 561489812; 261083602; 627666963; 360067110; 571831207; 855971387; 188388797; 483195833; 755508928; 828663106; 471012789; 630524989; 427181794; 721394201; 209847638; 427365252; 503702343; 409903443; 298212081; 855741865; 655035223; 25376517; 528058808; 238829521; 795865551; 181357024; 400686450; 459670441; 923810071; 485069576; 751147503; 306231269; 708371113; 395848307; 415192636; 155378765; 920821998; 727464757; 147474184; 316956777; 170866426; 475750867; 446648156; 492020672; 800674799; 808868103; 364409530; 3958306; 40209234; 701370673; 243272041; 796117332; 270193136; 357124494; 235125490; 719232973; 965881857; 539054508; 236818300; 347858877; 895479324; 184256136; 988041309; 708220281; 810150827; 74556832; 6939617; 534133939; 124645090; 694728504; 65087308; 465808815; 632306117; 679374238; 856748840; 129155688; 684330629; 989716346; 291947844; 358112382; 698410832; 477052622; 292854700; 909225836; 760668181; 74781137; 116818899; 490232069; 941228501; 632429247; 744394; 875448560; 566145810; 498758025; 819964886; 225393135; 735342219; 400555715; 113323001; 293237924; 316772064; 447563558; 558932810; 3564697; 533368513; 171790746; 802073295; 289427371; 465765628; 674261253; 392922510; 813842718; 463625375; 634729950; 353043279; 34962369; 169243900; 442727126; 20373050; 571677244; 480462287; 200599331; 109675100; 303623931; 721862548; 853784309; 4944577; 908560390; 93320675; 613369062; 473647091; 643671963; 726017620; 835622224; 398190425; 829661237; 323183349; 195625860; 904370381; 789057007; 616104033; 236716704; 920610352; 721841561; 712525522; 275092143; 106962413; 748490581; 899509374; 958972274; 406645489; 25052616; 473566949; 987155700; 931655820; 523649957; 513212466; 515950560; 156447269; 28039913; 384141311; 123829138; 600887828; 560782307; 22521761; 510980104; 259179528; 399167589; 614648425; 696929265; 552834908; 273838022; 211669431; 815817727; 866551573; 384124621; 200703310; 489704623; 25068370; 668235513; 66961863; 991085611; 887680569; 167144758; 697311896; 394610774; 437419404; 957994445; 358944698; 373042858; 57888877; 701340018; 438154038; 371149142; 932365775; 536060517; 459232046; 762597796; 706952657; 155243101; 522378222; 273245356; 209992084; 880048493; 264330762; 177849144; 689318427; 934012886; 993864239; 499807429; 740397780; 450750511; 632216772; 927771836; 202940221; 591817134; 722388479; 410196766; 732073080; 390225839; 728967104; 438403863; 928231128; 105480813; 720316220; 236562869; 544055785; 855818479; 149351822; 984887029; 150670612; 906133314; 488738530; 390296853; 119336246; 514623874; 131943329; 43690192; 203360404; 639113947; 842272451; 534965890; 295759081; 616480439; 77866178; 836786394; 915754563; 981802762; 675768704; 451534341; 739295199; 530905473; 597794122; 717950814; 258732470; 997231761; 469133892; 166328026; 944491503; 188762526; 609447847; 352132729; 229717568; 50933973; 52107404; 958895022; 218752711; 816758689; 670653464; 644181198; 913228391; 254703025; 434939456; 228100669; 439175110; 708116522; 261391731; 171136552; 234530911; 366467989; 781924305; 435647087; 244213643; 63267264; 31182890; 880897696; 385314181; 719670585; 81492066; 908462286; 487802053; 927103466; 54505309; 177085070; 834823745; 129352465; 989013711; 445956925; 67370824; 218440862; 480616191; 769162777; 118639220; 890916187; 935750445; 481737372; 920077038; 294698869; 340130919; 757580753; 363912144; 44550535; 710447917; 752911899; 308464902; 15700549; 638002560; 495935540; 550044614; 519258823; 521152382; 20324966; 984783720; 135293298; 602170815; 61420738; 438325217; 121474002; 651356725; 24127248; 620011059; 25312717; 493272641; 983592838; 74557504; 166134329; 674693831; 538423007; 434482138; 552562935; 206016947; 138071284; 371965062; 549566018; 451140067; 900989560; 282719257; 147398415; 126729487; 120236564; 616682248; 957243273; 948759948; 444256596; 404902592; 897860326; 111318623; 537865175; 32750649; 634111448; 337406107; 751299649; 819691915; 946985872; 265367831; 335041076; 955732322; 838399646; 496113106; 952002986; 285740039; 790711204; 230585089; 241288847; 355448527; 633000175; 802541649; 640093780; 24167048; 500482046; 234458890; 549515174; 993937566; 934446227; 89188743; 437857081; 960518490; 389456969; 442718180; 961459893; 627386383; 971024398; 713327312; 204100312; 244239283; 234190138; 900377183; 841120815; 414853647; 886947927; 327915415; 520874931; 537768064; 378724138; 975452513; 761247015; 504875074; 377911946; 965421218; 3597172; 565263980; 537549910; 407354428; 190388071; 712269503; 246353043; 502172526; 421925677; 512747273; 772314420; 682103455; 468097468; 283060185; 648346784; 950168035; 78384702; 841127759; 407692749; 942767286; 497855207; 448835105; 785583580; 141266566; 557765110; 855224841; 407384142; 823116158; 341599514; 446405822; 692074716; 502405962; 488605958; 989163663; 39428288; 770272167; 710153203; 949272438; 188756395; 655724788; 665025175; 499976718; 647830479; 287492925; 824948783; 322837858; 691005959; 738456283; 76231328; 507486328; 878875245; 353934955; 611748891; 438955820; 20344676; 971958933; 556348114; 340725381; 496845277; 294559687; 549563057; 43942722; 468526640; 858217904; 786885232; 145848591; 261269689; 313228810; 989409821; 430075305; 905869119; 297832781; 359364525; 379445959; 595696756; 2726833; 452026848; 592914836; 720360237; 194308220; 466199533; 600076193; 766694664; 910366909; 738121379; 640195747; 245597010; 837280424; 587520798; 888942319; 173502759; 294746105; 849782813; 660192612; 48578573; 904827291; 55085557; 830144991; 958920936; 556497803; 586509666; 946149452; 383633545; 634031279; 477406574; 516734070; 321834935; 407565383; 873020056; 587992987; 391621719; 53320374; 998811058; 311345890; 661240675; 867110328; 427974875; 597132106; 127394151; 765815004; 265110505; 577192060; 285153351; 278071262; 720568443; 539431692; 169076822; 238215648; 5740443; 691837132; 224527249; 235569528; 41001320; 77377328; 598688529; 87713375; 594345093; 558394736; 481718931; 846880657; 378559572; 228887106; 747695952; 501187310; 543035060; 529143103; 62397247; 564697662; 20730445; 872787813; 424627998; 501072945; 978349855; 12833325; 173158458; 601579657; 650316173; 114784390; 977536467; 329119273; 601258183; 886617583; 579320262; 609499062; 147310476; 645023080; 506180405; 96760350; 985688818; 532916359; 851826637; 62274855; 910759494; 160748668; 134048105; 977738565; 695727079; 30548563; 390162674; 606788849; 406069849; 598940243; 730228903; 481297338; 241549237; 915985251; 577612905; 270360815; 195567679; 67170188; 914533713; 5456131; 977573581; 321639873; 427348242; 191596216; 563982191; 837524761; 558081798; 953252855; 29027491; 928173257; 42992490; 883817996; 250513479; 344333921; 355774576; 952424121; 911423891; 142221050; 466870660; 363927635; 986778225; 898883247; 631158224; 60082126; 811347403; 152529631; 994786011; 937691531; 75861085; 750357533; 608901857; 460771829; 565057119; 432570642; 262872518; 10452929; 999752473; 177869033; 886100984; 30663522; 985468000; 733295601; 759210545; 527001400; 194079878; 730859753; 580583154; 225247840; 766801410; 720221581; 4072751; 468256583; 747025047; 298565272; 935422603; 268669804; 647612038; 410838873; 13516392; 216386972; 631567485; 196120957; 604042428; 996116555; 112813558; 118151990; 336710; 759272980; 961881335; 124730586; 681845778; 167967264; 611994261; 912366543; 212775663; 607317630; 186387888; 10923832; 874144781; 468210691; 375625472; 188499871; 581576249; 769920666; 84612058; 925243996; 675472295; 117876212; 895713389; 330159047; 308133840; 579766125; 85831607; 501641346; 896813213; 160657167; 139590170; 678350882; 133291121; 733853112; 414451096; 995059960; 893382609; 189394922; 256267826; 526169776; 446597846; 438782695; 253451589; 574791815; 718712556; 511814195; 168428443; 323179978; 666832649; 214626074; 354490576; 130268154; 589399796; 715357110; 682753662; 75626490; 856351079; 229911278; 796356384; 261247558; 367818390; 731885525; 751291694; 691868831; 319572739; 735316807; 877434840; 138812504; 35533768; 515384542; 887235991; 502970914; 360528188; 160272198; 461446063; 347001621; 624112443; 35083895; 433108775; 692834177; 816245874; 216341000; 28382785; 737984920; 620737656; 394148746; 718863078; 576723877; 862866106; 731528691; 400097419; 220553715; 827239768; 781669201; 323554380; 861587256; 354778100; 137537716; 228720444; 249634478; 840308266; 45476595; 619844297; 599321858; 642279310; 646378008; 687735047; 992088191; 181697420; 330987892; 222753197; 125301344; 399802088; 345945142; 131018401; 222824179; 418638153; 147577682; 47905080; 992285378; 564246134; 108985672; 284056804; 417116769; 850586089; 770060146; 433406648; 438705091; 860229778; 669974017; 85742378; 857751676; 18523296; 664766901; 297943566; 849637043; 962807000; 979472127; 703468989; 851080753; 476113249; 243971369; 690688322; 777808421; 301960214; 115572116; 747408907; 722406108; 850208604; 606039383; 330053923; 703967495; 428020135; 985752246; 774887180; 717392934; 278656334; 229470446; 791163106; 612732073; 138011880; 315413086; 846002968; 455208289; 541326271; 417040254; 362013400; 577536744; 253706480; 966873188; 379702951; 996205416; 627385760; 542794793; 667584290; 754538437; 854436351; 975254079; 142283019; 100574540; 624264867; 31738104; 457070578; 667475270; 494582229; 356437103; 325067913; 760791434; 244106293; 919564974; 194404691; 50046265; 96489370; 829089796; 373998751; 12969404; 606707597; 853275659; 870239786; 826955395; 443896757; 585546180; 378475198; 733977225; 518540753; 917889187; 9370279; 514452136; 326007834; 187250430; 348125898; 718608089; 571722957; 821378585; 361861733; 475149544; 331236168; 787964266; 927563304; 688448074; 53759865; 129088187; 904220414; 309868897; 482833389; 437055898; 834821434; 354956736; 679458694; 527256301; 966173999; 423565759; 501328355; 674483039; 855559115; 549969944; 643148227; 118819534; 916601744; 426253736; 938020567; 216591235; 884291550; 65619928; 365862701; 977157042; 839112138; 756016511; 343617485; 859319468; 574183795; 553885439; 231195067; 13204058; 477411580; 170034361; 95612755; 76173611; 987347040; 543194069; 911394337; 408910208; 44793880; 911251151; 566327505; 964427343; 224743517; 382048904; 986245046; 991957518; 482079118; 730654567; 573922023; 934115451; 544953326; 360586088; 1126811; 974058558; 539004387; 525215261; 845329572; 18023599; 300210461; 750003980; 853251337; 909517530; 111958144; 334859959; 234117275; 614797019; 234551185; 551320300; 85466095; 203989952; 918911369; 137976140; 481529708; 696311130; 966232044; 72790881; 280150123; 261671612; 51298762; 465301380; 576661383; 749303328; 559108747; 708562549; 47672985; 916950319; 355835182; 450965966; 185021208; 260585624; 434103250; 964475799; 931117746; 555120091; 470042740; 347417589; 933741507; 593300864; 125701168; 470746022; 753373722; 944836698; 215701784; 938439610; 459744818; 826349595; 622490439; 554447595; 485751300; 131790475; 390825819; 849410640; 577334156; 395120842; 70197602; 631249282; 766952728; 997654164; 192804214; 401774451; 363842000; 744276951; 94171074; 438366636; 272749477; 38846124; 446574883; 356324719; 461486787; 233940657; 222390934; 143803705; 10980942; 549726942; 909479785; 182474114; 974347838; 633730901; 587654762; 988003282; 480456598; 55622329; 143382007; 265478654; 821587026; 256541060; 675882970; 27372001; 26715510; 600125717; 703250994; 953370352; 46656027; 463111214; 608516332; 652766552; 11835667; 310243567; 218474343; 659018138; 598996186; 323479685; 284520226; 878710928; 423488620; 74937952; 790155916; 597145410; 442963428; 984537001; 127701340; 52368130; 852694434; 903467135; 165689694; 992104607; 594385012; 119171394; 216873805; 617115132; 842390781; 149958427; 138274235; 681587061; 665546174; 836564362; 609120171; 986612050; 626694609; 619327540; 828110418; 396487217; 227594842; 181739026; 843823945; 599046142; 681491704; 743860347; 57138292; 919477927; 949144669; 319009342; 551194247; 225464746; 578667131; 523837154; 477192631; 418437386; 69637003; 916196834; 443353777; 298189381; 698175615; 36175982; 536024231; 145432579; 429346451; 760980955; 450085805; 984941589; 156752776; 591124425; 799610279; 340478180; 994623944; 647005900; 191728321; 843359670; 161306004; 690565492; 971005720; 116364887; 744650636; 412424248; 903854628; 671915958; 418385906; 299381003; 314376368; 605857635; 770386362; 343725942; 896323759; 971695231; 60197474; 678155694; 82705310; 29898208; 280278100; 22677175; 531015239; 145943025; 160901236; 75923088; 270323053; 258108882; 748267356; 446508534; 171820302; 891169654; 880491220; 921461385; 791771127; 493432684; 487743458; 83722855; 405479700; 570771185; 11530161; 397897055; 177026757; 518535556; 298689693; 800236368; 89101988; 395769527; 638409810; 992911378; 706320109; 785900169; 651551191; 370725312; 923992644; 447586697; 270184793; 805668140; 944535092; 53787002; 575290574; 805870483; 340453164; 474263504; 680560784; 117332378; 741972373; 234984965; 367483386; 303530368; 581672093; 585508815; 318531106; 14537308; 157523565; 547637378; 765747416; 430658802; 23341923; 323781067; 863630319; 451830580; 146017369; 374315606; 92943701; 736153614; 395015407; 556934150; 945271940; 293870471; 755646217; 391595272; 206279495; 922168060; 111445859; 817624539; 409636053; 494433798; 302464360; 327818083; 215138055; 472878864; 806017704; 450269044; 983791480; 624244433; 314906243; 798618751; 624497407; 704632096; 192246452; 367377206; 716198936; 271529747; 663989441; 92439241; 672933319; 608933959; 374299069; 991678693; 926317900; 965533587; 207598680; 418253901; 538236740; 668235038; 504378091; 736171529; 653017103; 63379366; 154006885; 609050190; 468560458; 891252233; 371729888; 428083002; 698755701; 487114773; 142230275; 752513267; 363884915; 180151625; 859202502; 969688535; 686566351; 684018812; 24483476; 28646075; 952556254; 881593840; 710200122; 954543371; 787015339; 27454053; 206617704; 880976708; 900996968; 97663371; 447842664; 904058052; 710909966; 175922232; 316174703; 633645595; 589930024; 863143554; 344386226; 47901130; 943900175; 343624862; 896034301; 762183646; 38494376; 445160143; 32325533; 74386520; 40749150; 845739031; 426696252; 675932537; 322632569; 255037707; 52639097; 497996902; 396144155; 44155123; 64636113; 180461689; 283381780; 925963686; 154418343; 818307263; 600314640; 718610567; 60094177; 260310866; 837581056; 25310401; 332785862; 29009643; 695496907; 827538757; 857177979; 258373837; 123289899; 35442979; 197604701; 989184015; 109023337; 507139572; 685580374; 297659784; 679350766; 124503585; 340586112; 710606342; 532952316; 626278108; 639450768; 937342098; 561907859; 216884717; 85377019; 91314093; 772771211; 320208447; 848211720; 474744040; 321068667; 360306752; 795473429; 905689757; 48499098; 440603852; 257393865; 207363949; 417693413; 186066481; 294619043; 949909882; 760607143; 894853675; 309565188; 757276800; 352746162; 317691185; 424790180; 356815555; 418968877; 801808837; 584776380; 458375331; 884922990; 424640202; 955661579; 221605235; 385246648; 259124235; 370734110; 809581661; 733837774; 850415773; 542071171; 762888903; 808491492; 804153283; 638528500; 583694002; 156202758; 321605925; 366974652; 484084075; 142506762; 484078523; 984225954; 440289727; 468411889; 381351054; 730787514; 507343788; 944617893; 497131475; 214969549; 944375119; 286962000; 648890985; 567584679; 264257611; 799265938; 346974698; 355714931; 332783871; 150129267; 931064848; 28746249; 710880098; 786298409; 505453097; 297621349; 996826022; 576410881; 384912784; 626017127; 365108843; 115983757; 478380973; 170932813; 102702704; 624594366; 590748261; 196501028; 625748603; 122706292; 248009455; 976624572; 105844655; 157033705; 791997912; 242986345; 908036429; 143385746; 669025552; 811662888; 38689137; 448845805; 848984038; 790755775; 716540089; 156225983; 495250665; 656896957; 150071397; 212796205; 134618234; 670984747; 461414326; 188127693; 281947246; 79474859; 854442434; 923683154; 479200562; 752561322; 318312295; 546145500; 445250614; 884822009; 535310568; 196636960; 483994347; 216856527; 404662388; 250514201; 461507594; 688427256; 864600290; 150826721; 317812586; 612073850; 307534248; 800188057; 910852100; 25166200; 375623581; 54963900; 181621151; 894507683; 877503424; 89078210; 738870182; 659871227; 744090903; 816405507; 306504776; 262983664; 220862229; 432824486; 338653627; 996940193; 600822915; 78653676; 966471475; 357273878; 533539110; 450125235; 564252309; 326782933; 833960591; 396711730; 979790595; 673714765; 955787736; 893599453; 882144702; 381913228; 62494403; 701060504; 774985287; 108067428; 340562457; 483570047; 470426731; 544930870; 469766347; 264300198; 926178936; 592743103; 53767873; 475693550; 844731794; 96186106; 418364147; 561244863; 221114620; 700029857; 850572359; 507132091; 216001369; 326949206; 741590143; 737395859; 346306084; 743404158; 709661022; 124449377; 240072742; 181900604; 170158954; 142382314; 815466814; 99764061; 230767720; 981939635; 849999291; 764405609; 272892170; 934120779; 617100485; 864988761; 815236854; 383935340; 815465816; 649809881; 526859761; 38941741; 11162526; 213680804; 685250266; 831439228; 879011090; 571551965; 785137090; 784933207; 347529863; 683705176; 420369270; 563854103; 450967064; 638801778; 821673117; 283759424; 26924407; 77905568; 848905132; 112553358; 22518699; 460615564; 428219937; 649473223; 136723827; 855270355; 482508303; 16207639; 568533375; 39866568; 985579852; 33770912; 814732097; 62754593; 653547925; 937482700; 259706381; 167079987; 215150094; 56518700; 178868040; 668946046; 985034588; 333834605; 36055608; 32556886; 398130822; 313873187; 252279703; 416824326; 215684622; 402223565; 58311376; 371412509; 555745970; 212606872; 847842000; 137746428; 304532289; 776827343; 911408130; 137708874; 743143024; 198296870; 224721880; 911877954; 569974391; 723570980; 929641011; 292353949; 397026671; 170838961; 913855480; 670290062; 381099506; 869497753; 846911003; 390139807; 142104158; 614859931; 173248001; 241207734; 435360388; 556666383; 118667880; 255117145; 81092036; 781655388; 813099897; 431076125; 76716286; 676884499; 656228120; 393270378; 321975561; 270713407; 662818150; 480272941; 169253688; 934098038; 488503951; 1258627; 128480479; 606522008; 831867100; 134152583; 978177819; 87172043; 627282697; 786650093; 375982630; 288295884; 155109851; 762352950; 445870914; 697002011; 738212640; 499269483; 826486081; 23867964; 666661404; 138017928; 404455132; 405549151; 798798167; 721231319; 59032946; 285933821; 922679632; 329837171; 304503386; 481755327; 774779262; 669046792; 117015298; 541262643; 596409418; 246786975; 275466183; 702236833; 369300903; 945482010; 429144841; 846322698; 243978312; 792312407; 401292408; 971084162; 271424910; 961206693; 483013145; 505673149; 243530000; 789795071; 636513810; 804283748; 640991869; 923917263; 434973231; 393197576; 539569220; 442190812; 306055655; 154119330; 40852481; 484851141; 679303558; 713137641; 598685517; 255073719; 195035006; 706444901; 670743411; 12588112; 187906693; 261264634; 595146731; 868078413; 815176688; 76513761; 574838786; 930437341; 243256460; 376653500; 932878848; 450624164; 667176137; 952570439; 861825040; 841432007; 870737199; 273713888; 689463567; 911461424; 577671470; 344939184; 312028484; 130950357; 861091348; 897311486; 491334435; 483999686; 71873433; 308329059; 491936390; 805735404; 606991518; 304757977; 968143805; 9418007; 693718288; 388659747; 365290662; 74778825; 476559804; 341918501; 192770602; 492924500; 984982690; 256134487; 999237046; 536444074; 110505706; 390985346; 632676378; 314403287; 546469361; 55029514; 220966899; 763610009; 119275949; 94597302; 624815903; 569098357; 464388828; 211550335; 967684527; 333255860; 596218321; 829746733; 893935774; 135733069; 444224814; 125040302; 950388202; 906736360; 495242671; 596018588; 786121052; 773388734; 83658976; 499895329; 395862373; 248886819; 461414772; 168685266; 328908162; 488521550; 572377703; 381463565; 768685446; 810312101; 629418425; 179921848; 80723656; 77129408; 619966785; 62645920; 924451815; 795378085; 863319385; 411272486; 526591426; 357379185; 162535868; 691072356; 316903018; 758440888; 897804876; 946248935; 135856097; 332100918; 567987462; 494216775; 876182539; 228327938; 973468236; 14657211; 595181696; 316908557; 809942827; 188055567; 241062387; 689085018; 568884400; 129459038; 459663139; 518322002; 454581595; 568246653; 583585915; 402368319; 984248032; 67201333; 491701349; 984257581; 349280248; 305259956; 143949216; 770118898; 969228546; 724337308; 240912492; 209895783; 344314680; 40938072; 615673292; 133171812; 546045234; 750163875; 598145662; 73706511; 694188674; 143101156; 826829041; 466409016; 189595204; 970269120; 567037830; 83897120; 268298223; 366201015; 823655146; 760980960; 201393427; 169291890; 754004906; 128881971; 816624344; 940900864; 870402153; 185272258; 160552854; 454673468; 590524618; 413661754; 849999731; 348926886; 363950480; 898309673; 989368836; 78936563; 925624810; 934819235; 813904691; 896645443; 996823509; 772667734; 221835841; 587860356; 887701003; 384272483; 571187617; 314085435; 369900501; 243336322; 217223240; 355450268; 900064041; 116935503; 297019746; 228259081; 110179657; 309460819; 340004089; 978122501; 602362029; 645948193; 116474987; 98523430; 583937701; 158642314; 786571882; 100821232; 848776645; 105080643; 918028466; 823961920; 264530355; 686600098; 400943775; 938248615; 447431535; 547694840; 27211026; 960615761; 681380917; 181601095; 154803678; 894019126; 655665065; 943618893; 962321621; 564777430; 255935481; 585160591; 49446091; 429986631; 7106256; 379032718; 815370129; 442223223; 810599818; 829518073; 500846988; 904950161; 908378067; 609972622; 815483780; 496063040; 900496505; 27992381; 306965622; 553043406; 724079957; 199739566; 920495465; 528864076; 167714032; 659610856; 482707531; 779869875; 973999201; 106218166; 187880277; 61556202; 13349351; 136133915; 473402042; 924039206; 848181009; 832525174; 497839158; 962341577; 406750703; 578609610; 549024155; 679999082; 791433315; 663560670; 470454086; 480471081; 527765202; 484163529; 621698988; 975124162; 150379744; 822867511; 498365207; 55932698; 179850069; 651178289; 300465853; 506084658; 586394336; 370894762; 808127850; 851193142; 763351272; 127505893; 12517271; 558794633; 773822516; 654129253; 745196755; 902128261; 98627727; 513811269; 651131516; 289004500; 648497004; 539140849; 340811579; 554316021; 490623072; 753528271; 540352790; 693212732; 863715412; 539231801; 12956480; 949628409; 991024402; 407890132; 883145154; 973348979; 52895610; 59641920; 672042215; 451899623; 169334973; 593601810; 820064742; 881623129; 998777953; 569012647; 298991358; 183764972; 290605336; 23678256; 414911685; 947221827; 22307553; 135925152; 974459464; 795578744; 45429430; 962135099; 822576021; 386358894; 735168031; 302606911; 113122226; 208912544; 691085970; 767085831; 982196631; 115786866; 463331198; 866345267; 802601220; 624534227; 985048007; 637132404; 50829904; 253964941; 381380167; 508802121; 358921261; 667956862; 236594876; 662684379; 111566795; 539629398; 84657973; 370005337; 239401006; 667891187; 865003018; 990533400; 501438887; 405091991; 625616534; 612545710; 773105562; 679072139; 793214063; 438834397; 882244800; 122719009; 186291502; 731177761; 440776721; 614840267; 510005329; 640231152; 499239661; 971596585; 200089786; 874711218; 780167101; 230847521; 453048368; 234876263; 566183479; 905281860; 50535289; 779760842; 756622801; 11861897; 24203685; 761064321; 152182601; 295573477; 311871089; 19388530; 95246339; 897595566; 966973066; 860498267; 940333730; 959980821; 245810455; 663585717; 741392096; 631256873; 591444899; 674791824; 701615484; 654137077; 820508309; 474187501; 94601642; 175367460; 352475832; 70813243; 763614412; 62632914; 407861042; 625689595; 176711261; 144744079; 18501107; 430436800; 191539830; 493289027; 908953662; 893856498; 611951445; 211754734; 954252396; 957365849; 830384003; 259233512; 455682250; 183812518; 284004972; 975130500; 234353378; 168653457; 247093864; 770175284; 630384846; 767353520; 21117691; 796379953; 713810572; 631816127; 822028086; 568857258; 313877017; 875687817; 627083679; 516159962; 717935151; 52563741; 266095254; 330524193; 670799145; 394171092; 402572073; 734864751; 798942254; 294060388; 748816178; 214274513; 220858698; 205850837; 513718631; 519214960; 936553373; 811314221; 440553089; 82405590; 601318004; 634130851; 960377456; 624362166; 619068451; 405927380; 194587343; 783466395; 734161941; 531730089; 289237911; 889477943; 342845015; 594622957; 400185460; 255725874; 149524192; 191887966; 83806972; 949853376; 552348603; 982047103; 940996450; 385600935; 730478848; 864525586; 775605489; 202137592; 812944592; 866887016; 458832007; 571813626; 295856471; 453930200; 406651878; 308997113; 468386750; 437982160; 54945833; 524890516; 944532781; 808507055; 15963636; 578405473; 481883215; 179392871; 464135894; 596319762; 249661645; 350139982; 63487953; 778200526; 619642320; 2226483; 60725891; 312686723; 872340599; 781997706; 243203695; 852552321; 410471908; 703292247; 672850009; 372731254; 466201161; 265545508; 44247586; 170814873; 11631951; 123009807; 318889397; 195627144; 292547811; 671775203; 277727479; 179326987; 440493628; 129426096; 121634017; 3306539; 27011000; 900450520; 473033743; 582470505; 276836809; 778685284; 797572125; 378541893; 131068581; 819123665; 76788598; 981821629; 888831752; 952466774; 22380426; 449999927; 477067092; 709999035; 220976801; 515661141; 36535452; 390257907; 618639687; 437561512; 388014836; 211990799; 100798049; 601586903; 487756422; 700506398; 773065432; 308475164; 820054734; 857273013; 351968330; 162690949; 638817732; 702704880; 776543614; 978295334; 861746072; 305884329; 564529890; 624471795; 872044194; 909097819; 229201953; 607909023; 700267844; 430263257; 558203554; 784386595; 537667863; 414725684; 355204731; 536941919; 254521514; 579064247; 636917144; 892376568; 812932701; 144684894; 227883929; 99209098; 840626330; 63958400; 183154609; 638236184; 342703948; 604969705; 825924498; 799999691; 176042291; 123374437; 649149920; 719658364; 11596502; 820356928; 762960489; 863293368; 216001657; 993638104; 930527485; 881911904; 176446374; 414157785; 540550308; 364058844; 303358518; 383239444; 359502408; 348858095; 439638486; 924375827; 745210188; 875663067; 377683061; 5294414; 511253455; 771714698; 601038041; 237730914; 910597773; 96901821; 944616135; 441421419; 459800523; 156854785; 520373741; 409541936; 341799565; 194494165; 580900994; 426608837; 442749257; 245054494; 65912420; 529913774; 689073379; 71140048; 434702682; 617412843; 801515353; 18503872; 996406112; 138294580; 646572925; 309478279; 756359080; 848909592; 6242677; 6058112; 354052116; 283260626; 675928939; 482326094; 751887326; 291522809; 336569630; 588763530; 16318540; 349263379; 140248930; 769899886; 222705128; 392571115; 6613716; 487997739; 510080009; 523802447; 434449601; 433308260; 748413197; 165451039; 614037753; 22044296; 13124429; 44424024; 225934121; 241502933; 34969730; 628988593; 648027131; 406329057; 129819061; 776404991; 839595412; 774340477; 827131663; 203321846; 623519542; 718354708; 425719083; 675000981; 470049478; 420098832; 716498519; 974120492; 950086442; 344086548; 105283892; 596115563; 186685678; 220801903; 215467372; 804636910; 675053405; 734412990; 285787711; 676625417; 624270543; 784592333; 563049720; 359301868; 294696990; 788864324; 376299094; 249470861; 752486027; 857567021; 819813894; 855061790; 273802879; 21337309; 35956915; 319937763; 340702214; 847824000; 984408446; 681388086; 325626564; 980865196; 30688604; 13933104; 695838757; 748951804; 274271761; 434969835; 195142749; 328352453; 903810981; 905734835; 408689688; 452332745; 616869391; 278932662; 19746523; 245626623; 916191578; 610725432; 407647225; 327870548; 292258240; 800787539; 426389162; 508878136; 855759122; 882465458; 522788873; 911067857; 382404903; 146921439; 931745648; 548527625; 335056583; 343592265; 593068068; 185162012; 905294370; 720959487; 373574171; 391759693; 135438128; 478758116; 736205643; 427319510; 624601551; 408053646; 473856335; 636417576; 568015134; 573533821; 704614390; 535608265; 687493801; 722433562; 444785132; 212977319; 469686101; 899821418; 591655951; 908272982; 895328534; 521157364; 271802614; 413128292; 696426607; 314209058; 916358914; 459183286; 3763841; 401565765; 817722715; 527893262; 766990589; 287562157; 63471639; 469727490; 223595688; 221397526; 723893863; 182667092; 833994030; 251737602; 538352327; 72007591; 389258013; 458832958; 917081935; 192299626; 985793532; 595224812; 497994539; 716620840; 119465678; 770434688; 468684571; 971619081; 921267602; 866345905; 622052953; 796275893; 556975492; 948730090; 994704270; 5451; 21388367; 819743463; 49886540; 880287725; 445486866; 420457915; 358686860; 335962831; 32016978; 126124913; 616868112; 430397271; 85457687; 458697312; 909466961; 901025110; 403368718; 42309129; 20935675; 520489137; 749392194; 265208254; 943491259; 460347429; 111349522; 435525859; 835698795; 838678305; 662253362; 851635812; 313446573; 385408848; 285450857; 794964187; 123606917; 888489122; 266722620; 227980392; 900639352; 867157889; 460355312; 779236460; 116034433; 226862175; 453827948; 751845844; 863787112; 759674565; 133500353; 701806781; 95732238; 395221784; 472395140; 942810533; 359308128; 681916606; 489835133; 572574738; 639437466; 308219514; 636468236; 637432850; 212774190; 14225556; 554559786; 101203409; 285584537; 587719332; 580791024; 437549755; 18560448; 246309499; 852648045; 415826751; 190292077; 456201517; 849768139; 317265747; 40698751; 110438327; 778170729; 887345958; 392263227; 871926122; 148645276; 247758792; 418201112; 530529080; 284421082; 338256742; 233523990; 760608831; 393752530; 66577273; 635502856; 209013504; 628290915; 841460280; 650198253; 708658128; 57548810; 663422283; 421158175; 787825730; 544092553; 566496723; 972658499; 719126557; 678462458; 488913294; 423559686; 659887179; 63758187; 696944024; 191789154; 966417183; 88900791; 242819335; 856397152; 37671727; 636957520; 586003864; 17711885; 355588648; 837928707; 492214325; 649786124; 235696476; 419852001; 105901323; 441618874; 607401639; 871729664; 322824259; 760191644; 369981363; 20308240; 132260411; 584535042; 997631648; 537758384; 643154628; 671324108; 714633250; 96881698; 311836526; 529741248; 271078229; 726177571; 516092424; 913131674; 145767047; 931704124; 506268524; 934884211; 308999088; 451175704; 177837244; 376714224; 692667537; 877505787; 536048799; 674311877; 670255696; 78863716; 973053581; 351397648; 618415064; 769978106; 578808313; 410047568; 826973812; 741140107; 945544631; 967144167; 705512422; 412539541; 631816344; 13844949; 551987707; 31649700; 266623046; 589591912; 67312836; 522679599; 994037853; 891093250; 801875595; 408874898; 249908869; 199855115; 182326585; 65447873; 43304958; 688696896; 852918975; 29457803; 620460629; 524543090; 902871048; 894723295; 48946669; 894453545; 672648358; 493755809; 26925784; 337860831; 651550049; 864358503; 239953127; 378674989; 938426050; 964218306; 786636101; 387950075; 348591827; 195780946; 309513983; 162505385; 299479918; 743170838; 616089840; 4629427; 663860635; 206530808; 493301743; 520795695; 715743635; 60275444; 133771952; 435257607; 577350815; 31878755; 626235565; 531821073; 621369130; 14918810; 877955897; 52285829; 482111654; 758264312; 71774503; 328929479; 240495491; 991443151; 364344769; 661029631; 965175067; 733134538; 509429937; 547442825; 55316833; 180594550; 174236013; 946248485; 688141629; 262165411; 361681900; 867576061; 344494307; 486925798; 197960815; 763734584; 233457619; 756845246; 536507183; 134767853; 520023243; 5249600; 695609618; 587586955; 641856055; 262461253; 998747739; 63796461; 579061142; 448693490; 470335259; 975376281; 62348590; 502327478; 887934180; 277671390; 55700527; 517978804; 476086966; 810025466; 416579848; 996310124; 878340297; 806890814; 474999700; 163720512; 921776889; 569389806; 266993258; 426378326; 468843207; 167423822; 13192155; 945921477; 561759084; 959360940; 803494373; 641873434; 789361714; 292208344; 150778150; 211846432; 386398977; 527431167; 342981484; 637994856; 232734734; 828909293; 396563953; 929843649; 873878600; 686619520; 633354005; 860508589; 530776987; 842826107; 159359460; 413364371; 318455385; 148746792; 55872321; 942871817; 680846182; 777277300; 109211618; 203995057; 328386045; 442612418; 583611321; 968024278; 202711464; 884741285; 262729553; 299935539; 257873823; 315011121; 773295512; 390118152; 835569614; 444735955; 474385653; 171559653; 540740507; 680815301; 799554360; 714406280; 851106452; 150861644; 525158085; 588040640; 24934673; 836673444; 146869215; 751813480; 718111045; 819176737; 82429331; 899305849; 783473191; 607914842; 828653209; 753161537; 320453453; 806249442; 412425784; 126419306; 793479317; 111229187; 446941232; 654230069; 806519288; 579689509; 136060595; 537716062; 894991678; 816359418; 236327769; 829332165; 988513605; 188038387; 722736465; 760310456; 646522094; 503869805; 417828525; 647778053; 718271697; 645559641; 250347753; 377952061; 956691227; 110529428; 932442436; 588214112; 803759511; 378802832; 313095237; 634600506; 315411254; 368456851; 99191823; 915323601; 535083664; 471984372; 107854429; 59545779; 98822874; 347855344; 618595812; 39633383; 65364126; 920820997; 665434078; 583471067; 266939431; 754755880; 930486360; 179891126; 866722375; 393036292; 697797824; 451835480; 132745311; 219180184; 774697413; 604738078; 913243668; 134444546; 306432694; 299695949; 76455921; 840022333; 800823782; 322911385; 897145029; 409389269; 412013884; 699818132; 416905145; 55432185; 530201486; 729868853; 758735932; 977766150; 449167461; 644725534; 880707652; 83816225; 962742923; 810384611; 461730774; 308536951; 137737846; 916370973; 508346837; 7947347; 712687865; 431943768; 48253826; 188760312; 354208703; 442260764; 115340459; 685291907; 894383482; 449664371; 563563259; 434625241; 129924932; 807202670; 830631477; 239302116; 704785707; 926382657; 286985399; 172583754; 56278402; 245125556; 434053777; 214543439; 850737750; 180354992; 691660390; 948983610; 842695555; 943462401; 188610217; 101727230; 751135106; 419645905; 974514677; 704650815; 871648690; 596391672; 713646182; 866949509; 18032943; 647539255; 196784932; 967529101; 575237605; 379973862; 962537720; 91408338; 867608392; 285229690; 433222992; 34035841; 166206918; 121673190; 618585856; 738325109; 204590783; 84995179; 956118351; 601706981; 736492663; 246987772; 204477313; 684410600; 534391142; 23992846; 828851467; 761908263; 609245082; 332174365; 58205600; 243738682; 844148981; 70931597; 836772188; 568617181; 289758840; 852248999; 919324245; 294594769; 235158028; 458114155; 857537513; 634314292; 949379362; 711380407; 134667184; 231049763; 626738661; 536813610; 766046157; 139044278; 693210396; 140747965; 791823960; 649761013; 138316888; 962481002; 330906265; 588730838; 895544205; 972585975; 460578729; 628058488; 875361941; 446333527; 523074082; 479446775; 919540190; 197278994; 797664533; 251523082; 794799353; 995751194; 563747359; 462607106; 758141902; 459995607; 105759109; 729814263; 218393614; 587337002; 18753197; 453329204; 523402909; 562866933; 800281797; 28235147; 582705938; 273586723; 33214029; 779254855; 609881579; 822359657; 48110023; 924890799; 454319290; 578927783; 912660594; 432111684; 393361063; 536825639; 236088344; 402639872; 656757773; 701905597; 700411738; 778891135; 223704817; 953997944; 957796838; 167681283; 52184291; 551303620; 466139233; 886171651; 739445628; 846610333; 119131626; 418385351; 974084249; 597064585; 973171232; 671977545; 594481980; 530970173; 114822117; 23953329; 416533850; 485670485; 629683595; 637494942; 628839211; 62995842; 202862925; 923695254; 752412479; 228218578; 74656354; 485207305; 962067457; 592178223; 440832620; 231393669; 788268414; 331093441; 473747184; 838980904; 680197394; 454493715; 717945255; 811312090; 714618831; 12441799; 776405525; 367132019; 85616229; 701327735; 206445471; 460120832; 336410113; 624136494; 276137526; 254338617; 318189595; 638984924; 589763919; 448746083; 403027243; 205007848; 300311654; 528512358; 182918960; 331923866; 52811545; 370823591; 180797898; 235374396; 296899525; 405023233; 720309995; 369420783; 338076867; 649483558; 434452240; 93797246; 407833263; 141601401; 695069683; 672481258; 868836875; 825191114; 473571925; 169601259; 307304096; 484065982; 555529522; 773366895; 261952094; 646005111; 218299921; 654732982; 283110652; 392977452; 873544141; 915467830; 398960008; 57595329; 153544604; 128229562; 977159567; 901514162; 928101; 596555770; 136685921; 785731998; 610623121; 876643524; 450230891; 691265603; 298603026; 560095829; 610754534; 258504340; 529262820; 981436596; 403302860; 220312179; 115493058; 925724461; 666597995; 958308977; 941870864; 491431304; 739811549; 814287061; 366209055; 916689745; 984169801; 758183710; 969846268; 102518935; 340415256; 644204350; 120734877; 854036415; 864386148; 122548795; 284757531; 744098878; 339087330; 746681854; 27144416; 136575169; 353567340; 78910736; 386113338; 191281693; 672060236; 51108535; 206713464; 806080566; 904623365; 253557284; 838667880; 264379242; 53491285; 136322583; 604542930; 554489095; 341506024; 241850919; 513214370; 117242843; 220133445; 101932629; 275827536; 786668882; 648815061; 138918912; 563634251; 231435046; 429235034; 88612452; 33710291; 636786940; 917541222; 780636653; 20600889; 949098017; 102517723; 818409257; 780195268; 788024980; 415139947; 352553828; 690841871; 846814366; 974641934; 691129629; 63590820; 291237246; 61071557; 736323427; 357549972; 868138781; 537499102; 326364590; 587220639; 418513751; 896669810; 698382245; 72594382; 725153444; 220038085; 871606542; 163921693; 120025253; 241770845; 47357217; 136507412; 676031655; 643155249; 208289238; 904527050; 475515817; 177817740; 583293815; 987224699; 520356245; 769806899; 783404363; 574325262; 98642872; 838488858; 375511738; 13957472; 169985029; 422478407; 178250965; 378753979; 460229118; 866572918; 791949771; 159510714; 376445279; 700931457; 42832532; 469227797; 126151691; 457350070; 593685429; 381224837; 12898428; 554870190; 23179211; 537171548; 738146582; 1769928; 700659726; 594764418; 188805195; 11976673; 182783567; 685407291; 751116966; 403060292; 977346470; 312485781; 532577219; 687526466; 424133918; 743812488; 73352732; 454226264; 717281815; 615884334; 541736179; 873239533; 945203317; 864028279; 692337077; 391962638; 305424767; 18257787; 850334498; 459066488; 126306004; 536436807; 347469579; 950384567; 758719393; 968891962; 39934437; 35499119; 674268127; 962230114; 3236798; 319653175; 572995629; 151082434; 304159341; 432473771; 971275277; 461816601; 957962599; 545119336; 284680151; 144333874; 618095902; 932917507; 278599805; 608910641; 205847165; 564775384; 623859354; 991150106; 286827510; 110812482; 445761050; 402493117; 9102165; 80809154; 503908438; 769295535; 417165630; 535392282; 116452195; 303464368; 145164424; 626490918; 156138666; 790252511; 812334394; 78023254; 973026316; 684464817; 672888129; 387748246; 670379810; 933804415; 203287496; 398958059; 868058097; 158918750; 697471963; 471171626; 938936777; 418574849; 684272680; 536664353; 195243872; 726497297; 53471695; 771544680; 504081930; 895964376; 754771551; 995118945; 616539886; 963061523; 97047003; 374176971; 474961123; 448338768; 710030859; 331562778; 254858465; 237599498; 960847172; 809898805; 636293623; 911832656; 199761742; 895961497; 509687837; 138529600; 323829549; 808277547; 438588633; 162431607; 870806826; 437483311; 389985504; 514672074; 933258571; 548897179; 43497189; 979097145; 12234182; 866275687; 769868182; 502224188; 193225240; 848361226; 255061959; 372499563; 551495041; 805719567; 949048178; 140195801; 971703109; 738299904; 525771832; 425092684; 655684237; 348458464; 951887441; 371720060; 398051868; 664503700; 760440369; 446784024; 761995375; 953062642; 597811767; 527247973; 4976502; 225333114; 468496402; 826238709; 63301609; 329428625; 317607049; 783503238; 712036410; 972362106; 454108165; 424886003; 686830782; 5577339; 936250257; 973965801; 2140444; 36448087; 468860114; 544621066; 426178303; 241562367; 206216472; 276307666; 700408058; 625863208; 79266763; 412093905; 399690643; 381839420; 467850144; 891184649; 501956241; 24373048; 262139692; 559109240; 804459599; 685326711; 404703091; 599124058; 705638160; 66010830; 572382694; 142393392; 755617027; 211256597; 157972323; 426272782; 170355761; 847696831; 686432641; 383382240; 282582534; 593709538; 320752146; 133156989; 886648903; 855759513; 85513480; 491658679; 725486533; 676320995; 114846874; 210181058; 267633091; 41505797; 802469150; 368384837; 332907465; 459876656; 350386959; 139301990; 476515542; 284084715; 608952961; 912412161; 497156205; 204280075; 930784971; 779122436; 639912989; 126609283; 254803045; 835189517; 130235340; 316733032; 108977237; 592160052; 37559923; 194568423; 914335770; 685720404; 107547937; 637317444; 953315988; 871460781; 22332913; 592472818; 476939353; 297916785; 439299040; 992445713; 152212871; 344276681; 822954572; 414689233; 644588139; 922214511; 181235967; 809186715; 534838706; 927285069; 376960469; 120421171; 944612098; 340608828; 141185974; 654039010; 301901081; 296186418; 137070738; 599074841; 97389257; 797992442; 433678538; 559504188; 996494166; 739448830; 475427719; 869762822; 394867932; 948262789; 452271808; 834513047; 199150185; 49650093; 828712800; 627921535; 363158976; 76454190; 146135990; 427597937; 669425666; 934284804; 522926621; 637831676; 483300813; 114082465; 545888377; 453056547; 949172295; 419258192; 514041620; 231384501; 107162413; 73173992; 844227465; 791239420; 837866605; 216244547; 826610670; 19449906; 468624328; 729637119; 836224906; 281505863; 705697748; 279335372; 582478498; 417570183; 690295152; 936613103; 941382488; 199769479; 29332370; 323861994; 429166102; 112235116; 272958779; 45111599; 422460962; 248191757; 935338823; 304617377; 568451880; 442521459; 432216121; 233999610; 635146751; 881002163; 131782129; 566256909; 411335999; 96899947; 981800344; 279218293; 646961444; 814063665; 667514231; 135908328; 634464926; 479559167; 13326366; 8053499; 901327496; 453296333; 737690369; 632593901; 16736277; 768217155; 398071355; 455319406; 20732209; 642669175; 702322195; 321919264; 943641048; 163523569; 604140947; 837388404; 746504612; 981439957; 669071566; 501080562; 735676194; 993993615; 660724997; 658015335; 679238625; 982401811; 505908363; 673436266; 709620947; 46276131; 148724631; 484351392; 891626508; 135667940; 588451983; 920108566; 210473120; 164587258; 257897584; 78366094; 132963361; 715418987; 482733481; 371780191; 413850129; 15539465; 536690171; 118445333; 325068590; 351406067; 292084841; 99114858; 294398919; 164521563; 274689230; 615947561; 392233866; 985684016; 334590391; 369483441; 434626832; 555283060; 499384303; 791918638; 454703383; 488556164; 876860330; 924345537; 28765313; 655633708; 889124475; 444366319; 426514394; 210665198; 438034637; 770416812; 573475298; 904958203; 879680280; 666883397; 412068834; 661612041; 943371819; 601381717; 209406950; 840725928; 151935684; 915005139; 363569388; 850895284; 806207458; 110967716; 41915685; 646848310; 377072799; 359707201; 613943867; 803593949; 710470490; 104448854; 971452585; 800074634; 741153947; 178462544; 368493638; 764001095; 298633485; 875307858; 840634400; 667643094; 662433945; 444892132; 728864651; 532977551; 889069664; 807924; 742002064; 866017576; 654011940; 360116974; 283588474; 926554740; 153631244; 492723950; 813957638; 106061139; 684115387; 317117289; 559313868; 300954149; 172098112; 745117159; 912973270; 352957873; 326936914; 51617341; 190367403; 855154936; 103124606; 409507018; 606395673; 786767335; 129979253; 613448143; 419384239; 212267072; 171258435; 303796924; 344583355; 908336288; 485870464; 639764421; 74829793; 264784508; 726395338; 372680437; 202248279; 333743230; 731416931; 188997414; 688025043; 5850816; 895405449; 274592023; 365763467; 47461045; 622161502; 55726973; 611743179; 373698512; 382501536; 854432535; 654911538; 936565555; 358261394; 338745461; 523140080; 180902944; 742266099; 515122874; 906478704; 18472792; 643495385; 212687378; 50306737; 162854659; 116210285; 215397323; 435304947; 858970704; 945142858; 293827102; 699132952; 239733461; 318999582; 89424477; 962962328; 670970111; 700199825; 594821401; 287849514; 651805837; 996426373; 603739389; 995484455; 80670999; 283902621; 905025733; 641494535; 440253166; 239773961; 963709201; 87595318; 842810197; 721349503; 378316046; 512241754; 716445867; 428229630; 156658108; 263208207; 404506438; 356637324; 331203229; 785352427; 231184022; 603592734; 173657167; 488530074; 520535989; 936765610; 856553595; 319830812; 187803920; 500330895; 446062724; 550827838; 662333613; 437902361; 867236970; 416574785; 201726601; 573567927; 868043551; 243801239; 745033756; 246537645; 471806556; 867238304; 958583866; 482867740; 576361648; 660624690; 535078703; 594913976; 903258780; 359908762; 900226174; 585340443; 916495363; 216485045; 265371628; 496435409; 726898377; 41144029; 302746813; 380489301; 605332707; 513513567; 677333326; 855863940; 673708101; 326537382; 372873872; 648703632; 307927537; 754280336; 62756143; 756163237; 639572402; 872453641; 445049794; 933385441; 998929831; 196088114; 896181348; 518154537; 163512885; 403332405; 207273960; 960858415; 11355527; 362597447; 655464361; 347233276; 878817314; 891229215; 501385125; 97030473; 839996025; 122006554; 152724566; 349729655; 761924896; 209630356; 617976090; 705655657; 670722120; 172272479; 693499243; 990491492; 262398490; 863904363; 923210683; 28682529; 759389037; 174370056; 988004597; 755673964; 834991350; 144921258; 420593340; 506311894; 973161848; 157079244; 135413222; 58304016; 496958845; 588566346; 535500549; 119836563; 343436158; 799624665; 597392933; 406080332; 328261411; 948115679; 600446251; 941059120; 607635504; 368194071; 584872438; 262462331; 426732312; 491416496; 195379450; 969148608; 339353658; 446461402; 466041038; 105972947; 79417410; 58560540; 300060929; 732410237; 151918892; 854732464; 994757575; 895358910; 153713943; 55951387; 8598408; 802408915; 107524404; 715749762; 211784814; 956756809; 946813397; 610348846; 36306237; 946624774; 841662139; 969945009; 759310763; 474127191; 88758597; 694652524; 141456515; 141156584; 161934615; 328601789; 151239441; 433913175; 124753; 939319358; 792831625; 104331331; 965759500; 144222653; 265703692; 622649950; 793680491; 641485277; 639262901; 935068163; 493022054; 506865658; 766466007; 128909819; 292847498; 548470070; 620197397; 189770322; 969859786; 137679954; 101547459; 745346962; 434736562; 881034880; 896325302; 373049874; 809467514; 530164831; 633387571; 197476040; 314216624; 329011377; 574011244; 119582829; 207882371; 796041543; 923655974; 34393238; 584968327; 927853862; 149250315; 742545690; 583840842; 583311892; 489656802; 448754094; 2834435; 857339246; 951899538; 736705098; 572840769; 328095335; 532707073; 792022036; 718214733; 713143237; 371481719; 268499181; 604110640; 524647235; 879705605; 924568170; 7835774; 958515330; 408752313; 626595107; 26987701; 725553471; 474571867; 483130638; 406157551; 708720495; 680646016; 383006931; 490687371; 535979899; 879403030; 420058062; 536275830; 516180757; 449225759; 227880059; 629632803; 459688318; 37597535; 647290604; 661729984; 379879; 673210808; 655786710; 114463277; 49543061; 898587159; 11730702; 186895213; 490977758; 968165117; 450026073; 358566779; 728050844; 471317450; 559436176; 650792609; 148400895; 751401074; 818289392; 585569299; 519520571; 220538992; 630081749; 733916306; 948852718; 592787813; 66817993; 826751458; 192995057; 414891696; 411627534; 636749010; 713172241; 380794287; 430100767; 271009912; 631231085; 15712776; 955533373; 263032839; 59274823; 145561183; 778962443; 409595079; 241368227; 305497116; 612047125; 170448961; 73980308; 475045977; 891218969; 414708731; 693222833; 459026369; 764089741; 344269105; 972445416; 142450416; 313522221; 587975819; 21963285; 243302684; 963521039; 951741230; 148124676; 522694615; 842622031; 132343563; 667177117; 901624028; 936088725; 516969275; 578853217; 195748012; 138548437; 308962539; 335439469; 571603870; 421392907; 872515199; 358251102; 400914164; 255811698; 328756209; 987857882; 947821767; 978124379; 143520806; 228549738; 277319837; 404772139; 740917155; 189823463; 364610517; 312257877; 506552745; 497851023; 402855307; 276279337; 274210177; 804559867; 471318350; 308464080; 309640295; 261565277; 775570410; 300809580; 217037388; 118942880; 290261894; 589251896; 972564721; 225120993; 276710948; 606196787; 493459965; 746678313; 143335555; 333199341; 356291417; 512846878; 715631057; 97601150; 244565172; 241035453; 804701305; 563072490; 653759253; 830304968; 763369009; 403908899; 37819216; 953811137; 493966603; 287797355; 233844590; 678028934; 284861956; 787513354; 425134604; 132488942; 641345361; 819423998; 575077797; 200592483; 2678552; 773880057; 633459454; 418563614; 392330851; 53212443; 112684611; 649380531; 328469427; 983813704; 615259884; 814402505; 935668118; 581255443; 729541466; 655588752; 547940385; 296523214; 198690732; 246785975; 37038678; 977056316; 190079920; 76964565; 730323231; 453821513; 457798402; 623681788; 805291730; 685126162; 321816683; 649250576; 302155794; 142455974; 505599982; 354378562; 929596157; 273283199; 463125059; 886143505; 420115678; 366762201; 154930404; 861281071; 170433470; 395481742; 422967595; 587784502; 656545184; 467303459; 318795281; 28748024; 817771840; 360241290; 575114910; 564917197; 946197544; 618544260; 562695341; 431249937; 234341302; 783954580; 7024662; 257034295; 457366561; 732256592; 616184899; 706997628; 156243262; 741336635; 546908373; 798077900; 694840547; 382900399; 6011952; 74351086; 482868741; 20890979; 844166201; 5406679; 695182597; 460949325; 948918620; 331990010; 250830343; 330993093; 413773690; 518079844; 671649230; 893777350; 433234593; 113262501; 447877602; 171748848; 786528553; 508517418; 206849124; 179607539; 873787404; 693804552; 133527269; 338498122; 648352384; 221852846; 53147155; 5039473; 518172082; 635210705; 450156488; 352542533; 58309066; 889341414; 339804847; 182104577; 986048056; 629396229; 88241540; 718131849; 680926054; 693248975; 960145606; 798684739; 689611077; 965278245; 606817738; 117064123; 135766461; 739869133; 26272425; 969218639; 51685576; 354166142; 21620455; 708455293; 579972830; 639037404; 545179844; 462306787; 41017015; 406597850; 957222892; 253527972; 646198619; 41776694; 931089216; 723025614; 126360990; 990637099; 423774546; 806233157; 804855073; 646341675; 504251829; 95978726; 92082401; 496686842; 402813376; 605453412; 562835197; 445997342; 675575871; 930738057; 659512908; 335853945; 264393594; 756491177; 623396826; 75463716; 804288438; 671546524; 515932979; 608570615; 175913080; 699535464; 873197485; 1235886; 754748928; 845619208; 7775689; 445300472; 950025231; 587977959; 121783002; 613480763; 563448530; 189533576; 774780941; 299658518; 415321340; 112042900; 405626181; 770359242; 230060980; 923793704; 511067252; 13926320; 753401249; 377714922; 106315129; 864640114; 32467658; 67145493; 942321434; 361682231; 471271200; 569440122; 481037197; 360152106; 962520811; 608334954; 254612331; 494273414; 494904107; 143927285; 294939700; 946235820; 473960484; 596130772; 675431275; 944655743; 108281304; 824777687; 199959754; 242834399; 688765874; 35889707; 678971377; 930501862; 645887731; 306404364; 120102038; 570107199; 221754217; 392551873; 837739481; 195447329; 669499174; 498493729; 127058810; 171270982; 693350777; 24750477; 621501128; 779020574; 137961706; 596481080; 505225841; 649416601; 330705626; 819330571; 100316246; 648884869; 367732051; 528042454; 615861941; 940936065; 654855678; 953366975; 187481608; 13072638; 811563545; 176862973; 522491762; 495515206; 549662553; 231145375; 36782719; 413277187; 444180605; 756986446; 203515708; 356450660; 222154044; 853252026; 529607447; 867300249; 732549380; 219730350; 718870401; 112120688; 770606473; 102332607; 962369809; 882034564; 651617852; 561265444; 268446713; 939250007; 969624108; 64451741; 952377938; 883373895; 132371322; 139707884; 641203269; 32987856; 984267863; 695377651; 57723811; 737422362; 430204648; 720248917; 964235271; 999265669; 565793202; 161475336; 872470203; 385556983; 640201530; 104663033; 718964960; 786588872; 940797799; 529448619; 163018069; 524103470; 376880209; 640251054; 97835934; 228739014; 548098012; 899736858; 339149079; 614779366; 947639599; 470642489; 417249951; 316961151; 414333711; 258341310; 360088804; 675046147; 470679507; 285802352; 57614758; 452835053; 525322379; 970191599; 89808854; 571026504; 456714222; 419922046; 592018774; 615747648; 695435219; 230282942; 282777475; 736393158; 19027186; 500857806; 328180103; 410335868; 421517559; 188003876; 848931266; 833227144; 329088548; 213052606; 373398306; 69897169; 517252605; 87024929; 719786334; 246381133; 564818808; 443340473; 952030767; 677881411; 28073688; 313720006; 258070858; 419197606; 678884472; 517474104; 441104056; 25877018; 998969973; 429423301; 58293248; 893615921; 831187574; 396327903; 69762474; 275664475; 331044192; 586204871; 106698065; 247457562; 661032380; 101932883; 447005962; 830147110; 269798384; 140963714; 577736926; 678331403; 12262090; 7718308; 382537070; 861072232; 433366443; 918335824; 598268800; 194624175; 815428099; 466058727; 931830544; 618703552; 810220066; 347643021; 478508217; 72972744; 538683457; 998761021; 657416269; 940321975; 469048308; 633557531; 858683477; 985474306; 510053092; 794978431; 836488913; 896719885; 23804625; 30806693; 157532818; 624146655; 476398805; 387193175; 244376833; 87650656; 888101216; 172038950; 852567177; 756587007; 905863962; 555013874; 328667493; 961773176; 321150165; 788629383; 700998117; 651260224; 965802674; 734859467; 79853966; 113427845; 608384883; 810082674; 219112661; 212980418; 124213121; 537871681; 888487471; 367407161; 330543173; 180677716; 495153276; 974566420; 961653137; 656949846; 251304735; 576177486; 749967326; 941263585; 28263370; 548196683; 189813118; 710001157; 164411129; 393696462; 834633907; 666732441; 260179634; 539904565; 189832686; 383401181; 487000708; 672805381; 207548254; 404084050; 604070349; 338899226; 833731952; 920558768; 436405367; 560084907; 879184661; 93690221; 599280644; 345063158; 611733895; 353608516; 792441748; 444101403; 537979629; 658345857; 838773947; 779864149; 834201101; 479653095; 691457214; 718337264; 491274972; 402520551; 104392337; 926884884; 395517545; 254933075; 727980238; 882106090; 347186957; 20608694; 280345993; 599682670; 287347521; 39854710; 684024577; 532733710; 940891925; 988151524; 63414860; 969363141; 732575580; 417204027; 381302365; 700029604; 703415918; 268410373; 224500928; 615496156; 200194768; 681646882; 755638019; 266681525; 802501579; 656022656; 415591448; 507732230; 943287867; 411045609; 286299838; 388388295; 501861736; 794699105; 450466659; 436375043; 425439174; 290704808; 429067527; 427946670; 664867137; 352539309; 458320186; 78714192; 447366161; 212681025; 588285688; 566049567; 245592497; 587298081; 662326130; 666706699; 702381884; 7592924; 138896928; 155057636; 776656461; 422402262; 57603399; 329846427; 818530855; 871148075; 877979407; 736669122; 170979261; 170583394; 933231858; 468321787; 22126824; 620955654; 462989135; 331827527; 781195440; 843241523; 553955086; 54608876; 595706087; 718793510; 73604859; 260899739; 821072403; 570358702; 683195371; 593278089; 12886136; 895685746; 369237408; 874556913; 597268509; 565632490; 373084816; 972892219; 284084779; 994471530; 951892323; 436655083; 184869456; 39590983; 950471416; 797947180; 792950891; 212173316; 972900026; 737709144; 20777465; 997520116; 627332892; 932808769; 678303614; 435019578; 726829720; 511500938; 514525836; 876805157; 914501926; 607581263; 127851827; 96501445; 610427742; 419727390; 750061395; 90478656; 494842949; 54431076; 858662555; 497395645; 493028117; 971284183; 716106554; 670509587; 289901395; 415463207; 126539911; 957463568; 353605623; 315642204; 374457039; 564502927; 518000656; 988345288; 931138660; 615697628; 749355521; 279016208; 121491804; 163872656; 350425773; 559543267; 839261249; 647395242; 954222185; 234723840; 650277200; 93871672; 187940418; 967206552; 449319428; 939717694; 538549072; 154602092; 672585063; 101605166; 556530089; 588194428; 560428735; 600059376; 505614677; 168977539; 725249056; 714022029; 619514652; 644722743; 385679800; 941790760; 811608986; 30901675; 677095131; 804262519; 424357828; 935482699; 499716783; 980412699; 519211457; 368290666; 950202144; 414258732; 620167270; 139456889; 594305651; 68112144; 900793613; 399183537; 375581465; 139077972; 706786733; 848676550; 568605333; 408921619; 833324418; 205158209; 958888669; 408778556; 674522081; 61404557; 66659955; 517119318; 220798575; 342410124; 942997198; 759359747; 453888785; 320436683; 747554144; 382103145; 868163749; 973141939; 456013886; 729708382; 554392993; 457645263; 668634903; 919073463; 461790106; 650462250; 189437569; 399436263; 502082567; 312593647; 225035721; 445911753; 135961367; 964992135; 839364616; 247428634; 776675884; 513764682; 294642958; 487608878; 59504588; 67829667; 268968665; 45154894; 875783464; 256848320; 197476740; 541799467; 578759351; 976674707; 965996471; 445125700; 314892022; 744787113; 410607235; 431423448; 122290488; 174230020; 490760509; 637890779; 38927948; 695445304; 659280339; 530814257; 520837155; 907755971; 188952565; 519565801; 568939429; 191522571; 729691675; 568079039; 18309712; 390048160; 33812139; 402634569; 167523322; 567199770; 830809055; 387882589; 743010101; 321667970; 223747632; 679685016; 740856529; 59848359; 7257301; 542869034; 536679854; 426876851; 974413622; 22802000; 76123639; 34253152; 357708838; 349233243; 130171244; 760365664; 715677036; 390826466; 485464569; 525268882; 692813758; 360974898; 441696132; 312207247; 486391436; 142114675; 658280508; 255704059; 423616460; 378383307; 295668321; 869418639; 4211304; 606455055; 396895987; 652902194; 248201178; 846175223; 307592875; 68689032; 109471583; 41585253; 618173530; 546610551; 650690402; 150713403; 62711242; 93682846; 919898919; 344382756; 548160845; 110202710; 302120498; 283762195; 607701279; 865483098; 429102743; 568890983; 158120607; 600070360; 996796751; 159666361; 919967250; 561799388; 652453184; 612136378; 577092472; 459147191; 460170206; 659757661; 681030567; 462976811; 597146215; 577999915; 149602264; 296550530; 595153335; 97753311; 762648008; 64087671; 436222693; 721013187; 632404607; 208527341; 276913648; 360289251; 510781128; 573748346; 209506769; 930171893; 103390511; 188577258; 993927050; 216961923; 456135489; 632370952; 163221303; 503172850; 93975624; 765584731; 761562242; 395870350; 556408824; 55181124; 499209900; 125463160; 54483587; 89983194; 432647433; 767068348; 670638831; 705597153; 299888368; 386170405; 833224111; 480277528; 730782444; 314599378; 664059384; 527695050; 596832188; 523719703; 540159396; 1827734; 343512877; 254059191; 790714859; 942919423; 241081502; 454132448; 435159111; 260902280; 81595491; 505694945; 67928147; 161318028; 341233204; 296806228; 449654063; 142664840; 110315501; 589804701; 244296235; 622667903; 970962840; 260284849; 486218971; 944837002; 813999962; 201469049; 217350655; 721812625; 349634930; 111528599; 904476691; 816155149; 89509770; 145160943; 816696022; 442672587; 518645662; 203758762; 683434830; 956774160; 251508525; 830837216; 313419712; 461464370; 606169250; 494435991; 147924710; 376345341; 655256284; 713194796; 103538203; 80962776; 592023070; 99817335; 302987006; 616607483; 381302266; 934511029; 972636400; 272903324; 720910635; 520213821; 458861488; 580680884; 693688209; 545322626; 754172978; 276489538; 107591087; 715137357; 470049812; 412495976; 429126691; 206087088; 760835382; 574016449; 25154295; 703303469; 420760337; 711166091; 78551339; 211201451; 919221365; 683716679; 495720350; 1489083; 127919248; 952559782; 574913105; 273767648; 452974357; 696803150; 735544443; 923605964; 230624645; 813323993; 432565911; 842651514; 328096372; 523034825; 824755677; 785888138; 992427019; 892400498; 185449677; 573940349; 80317066; 952652231; 372062501; 88712961; 925226644; 824178547; 806069142; 414696501; 972060445; 976047469; 1943241; 593948567; 85854949; 462510807; 733794811; 607882411; 199497035; 901089382; 103566478; 73423526; 353359450; 886510312; 29515623; 361454114; 335907138; 396664089; 604304169; 54193487; 843279880; 645213498; 709910955; 960077256; 237269686; 308053328; 85251357; 740726676; 130252148; 757630859; 62008964; 55622821; 840787843; 488855194; 323934134; 178437086; 755596706; 237579770; 781989734; 638405408; 28492153; 472071443; 768863297; 449197703; 829056366; 863630980; 685269673; 259472907; 578217443; 374532904; 54812020; 853338604; 257338514; 536893066; 561111444; 398153109; 188686358; 908746998; 19858409; 468950810; 337260851; 658829005; 47955174; 363073945; 942761098; 337828130; 830877831; 341319081; 645052767; 558254104; 475432900; 92897661; 736869237; 507115861; 453705290; 8103596; 621297911; 334949886; 89549364; 650068336; 166926536; 396620762; 944055544; 106128975; 328200689; 921640660; 187842384; 278523528; 667931202; 63316543; 798805414; 389246196; 759456462; 781862651; 203427557; 885312024; 507420363; 32435899; 650902630; 543212033; 284326977; 549382037; 401649743; 635488515; 240279670; 20532210; 745401998; 279452968; 604112438; 192010168; 410976398; 943355094; 606705879; 954451853; 309924074; 118242178; 823057346; 450193989; 142904542; 460650256; 560564885; 442891012; 376969095; 20287140; 648722379; 278707732; 117209374; 217559502; 34597079; 180732673; 75341315; 547706254; 432291901; 949467342; 594796136; 413284488; 189241423; 188041627; 804874822; 461851486; 494088151; 994394766; 23577820; 424181067; 624368325; 280815689; 923757504; 954440881; 437115018; 368355517; 438623365; 945607041; 664015520; 268251864; 10039328; 926018893; 949941948; 636774300; 882698447; 29903935; 11749110; 482921479; 5994153; 92419280; 675433980; 187967030; 522871804; 6560600; 485538232; 717934999; 47512681; 600134529; 364154985; 929961983; 210039990; 992389496; 886652754; 585469472; 708340350; 147692530; 728252743; 780881376; 778996304; 344614999; 862656006; 290273929; 61527365; 240402157; 697029112; 874941917; 69732831; 509932152; 122032276; 453943424; 753323179; 357816985; 237566569; 806822296; 176346524; 889628870; 451920125; 436797016; 47009747; 827783438; 164301943; 378855140; 773982429; 403317048; 978777250; 856975997; 102381675; 263681982; 105431600; 392945628; 191147829; 410959457; 352639845; 693127258; 604552840; 290493741; 12938023; 782099757; 526194415; 843390096; 476798929; 645265394; 925964622; 34878746; 591501842; 71703717; 976619772; 204761005; 103732350; 751236564; 926802506; 37288273; 869522497; 766248350; 774142686; 676229664; 857674426; 76521517; 208235942; 507355293; 586553827; 685828354; 108575516; 299057852; 155157682; 768522426; 134774150; 346709638; 516474602; 632160355; 343374737; 891607539; 750737100; 792015439; 765772907; 265010066; 67069619; 105548256; 411777512; 322754819; 288439374; 287714508; 366796672; 101070776; 157038394; 9844160; 844144089; 378993199; 949904936; 898475096; 59730013; 454628782; 813987969; 218487630; 123332815; 548131200; 313119730; 678002330; 528647702; 42190126; 921956980; 484396219; 105696027; 312080216; 364652758; 126930845; 70688533; 429593213; 942127361; 28026149; 988803528; 149540358; 72352263; 198331891; 966030806; 318514174; 653683902; 408013344; 319763927; 272980332; 436859647; 660404189; 454092514; 576029198; 23454836; 333841160; 410890535; 108841435; 106097731; 560779128; 744997752; 49190282; 21862704; 12296944; 315295697; 318529598; 862140561; 19730801; 871831935; 97818175; 280342881; 826474825; 631737687; 188181695; 916889024; 323960931; 116278491; 411763512; 945593964; 75620691; 253743109; 356901230; 74491; 461054191; 676224826; 899985858; 845906432; 416058238; 515440476; 395773905; 798359484; 250794975; 642980335; 211944980; 595445056; 84146634; 65105911; 476238921; 661894951; 398878288; 196789467; 471907544; 304816424; 95596574; 634376441; 182169178; 703562960; 511957000; 687358401; 629465076; 515072607; 308883369; 388190008; 62450068; 67879479; 739189054; 281683990; 381182432; 224503331; 87094570; 338271053; 166002021; 575824828; 710383364; 363830087; 317693526; 763695560; 444389091; 579977050; 621292506; 292171269; 292036142; 576908307; 583158825; 355141763; 26569236; 900368538; 424912772; 297803740; 401465098; 692951565; 675614906; 487572644; 628278290; 245504108; 777142957; 132725311; 108269053; 217465599; 269412591; 468720599; 599053337; 54776237; 483125667; 450537345; 983301403; 214983269; 480505186; 365836245; 539034751; 246994365; 178130738; 880124086; 71621815; 176828227; 106982176; 414203362; 780390979; 521956409; 920724803; 596177494; 490056152; 958227187; 261272311; 285649190; 300332085; 441304985; 240464391; 533649392; 164238207; 502114127; 331594292; 298934149; 947669621; 36751468; 232522956; 741957135; 238678731; 835647820; 512663447; 622029974; 991843804; 536217485; 352734832; 838182897; 215689599; 486477496; 287584769; 714126903; 370223203; 619271833; 590834869; 462693107; 955149778; 910383191; 239414719; 372593387; 554289349; 407608616; 831634986; 597245795; 201235601; 827562794; 622103496; 322527681; 835031358; 131615771; 512222838; 604527335; 705351655; 813184053; 82116070; 663014810; 364896329; 550609700; 687126791; 238474644; 287184742; 323887654; 634876308; 467773750; 562857153; 198099198; 167047672; 491333821; 460577234; 770241682; 704386002; 587002638; 452318744; 326462931; 444057587; 975586497; 385201391; 481913313; 132476205; 569399784; 347397156; 119448826; 496990273; 944347738; 932211089; 331708225; 713392877; 759466099; 258212480; 301576651; 915298979; 257119860; 763561276; 809372108; 665090309; 149701804; 594211649; 325639206; 298523674; 520986936; 814054495; 97740115; 856838477; 255841214; 897575341; 850972062; 121307254; 48812244; 701609591; 621161859; 872845322; 135688387; 175200093; 630484481; 120429717; 405822240; 818492399; 333561585; 620603847; 770001654; 247363681; 839816985; 853031016; 630698442; 218699840; 948490508; 890784741; 340850183; 811334721; 370837256; 875285081; 346867064; 759138882; 44896094; 860240021; 996786680; 203095330; 663479406; 55627309; 679023496; 813841007; 801648280; 853477103; 109264626; 45529671; 831357322; 674888319; 688589802; 278490369; 90713271; 521838323; 563946099; 638454800; 274324920; 471110778; 720349522; 891361376; 58837066; 126968899; 132779449; 372878697; 550212995; 768271789; 388388921; 490611293; 520729888; 714010503; 425367677; 980499590; 53682826; 495814758; 420209720; 425398878; 637592680; 802478359; 74146929; 59204571; 687020073; 600045690; 915772320; 104776854; 767876472; 261305102; 173080802; 889442235; 700394821; 913551944; 163358995; 356012385; 20836437; 889116796; 675684916; 669545631; 873234091; 43643591; 510913886; 896915606; 670586605; 613337861; 274447604; 810969909; 839071190; 842027954; 348907324; 88169643; 95965620; 389162190; 365294233; 353038016; 937646503; 256765092; 629695370; 63027373; 781300611; 359253006; 933728524; 582093218; 863710005; 466720740; 913645571; 73393635; 768988105; 382849926; 422095214; 657963948; 97538044; 692109490; 220102113; 835937404; 797274440; 329842730; 133698736; 400147858; 26257416; 259742917; 62181145; 904229089; 388469144; 519008913; 215499732; 866810355; 121597512; 369821025; 941069709; 218655641; 160226328; 409153117; 336544517; 101259216; 489175794; 300287376; 992784245; 749164341; 2445580; 89046366; 388248785; 66474015; 346576524; 227382280; 63271439; 727220011; 744583940; 108069042; 31350640; 790439316; 823055234; 929789968; 387337050; 751556105; 145534419; 519287566; 352444842; 330076346; 840679099; 593565633; 736330035; 24958015; 976674700; 893633365; 317059470; 533037162; 894170894; 927997023; 754581161; 991362642; 364472771; 208485181; 322378908; 361671838; 173979241; 81552606; 209426265; 834925895; 556019333; 198221426; 170669184; 384994908; 80428378; 704881807; 3593661; 6573334; 144754552; 114947552; 461728654; 451694388; 964977072; 238226403; 585543415; 472709928; 195004430; 107335633; 1506421; 189522516; 192666685; 297647017; 530803825; 936143496; 796374115; 33331044; 877735110; 373495429; 256780854; 666405337; 266424732; 642194561; 218778538; 933301884; 560458711; 862667019; 641270826; 597489802; 825055454; 310991037; 886716246; 801331300; 819686132; 377716810; 538967083; 721233431; 540443917; 736405181; 108878961; 614085225; 609650688; 793930364; 750643081; 964600424; 58043472; 475618636; 216180544; 561389226; 899874894; 890924761; 390586212; 115841647; 444324272; 968327932; 897277973; 306121267; 757235260; 981547317; 984408976; 933568848; 782478810; 503705698; 227520156; 366931172; 802643943; 586174083; 268766476; 278658148; 37789721; 855010202; 864026513; 780859044; 890812990; 368123493; 771935899; 623584376; 625916325; 624700824; 386228782; 114220512; 507684639; 340450878; 297399858; 45731979; 786502574; 346322754; 345148341; 977686173; 381465141; 960637916; 452569653; 404815054; 971199706; 231132982; 319193096; 341019585; 435491198; 52940167; 890561479; 134154826; 729804631; 174736103; 155227399; 143146097; 388636857; 323059754; 367354052; 329389346; 222308289; 366840704; 775083788; 881243409; 718043524; 602841187; 282168672; 996385689; 646079310; 227344377; 71242692; 46212885; 838422408; 428386912; 664362693; 100226579; 544958506; 824252857; 19555337; 197705844; 3370325; 20915689; 620549380; 955517319; 369067648; 158922429; 787727323; 693109087; 906417445; 442401453; 118666206; 212861101; 699529174; 693802742; 775385644; 153536184; 309748861; 205434461; 572291399; 358580593; 255183429; 345737914; 615682211; 860712112; 165165201; 674424704; 878020737; 32346616; 33146329; 389321732; 547301754; 614722937; 636962093; 296216623; 936539595; 487557205; 148332466; 113187609; 192088392; 701326689; 668156251; 473199433; 110849130; 493153163; 651492432; 486136285; 584213745; 983857765; 102083034; 179594138; 639270791; 533560064; 52237668; 617203425; 942172480; 948509668; 207264349; 980993235; 882855042; 331402061; 325265725; 943263833; 138095142; 790230557; 460522616; 332759364; 215231904; 696654532; 895661065; 485737571; 768338443; 143834007; 78369031; 715480182; 693304751; 352750107; 497185408; 2523751; 942447795; 300229745; 366247638; 979614797; 457280837; 963792885; 691321472; 743819903; 543788388; 582935739; 491631260; 722900042; 560189706; 364130304; 434732407; 60869560; 240234989; 327131400; 431354404; 584870517; 426661355; 341572312; 496353025; 256219850; 179538208; 903373229; 262869646; 243539230; 45745999; 215034504; 219065284; 325162518; 145914071; 756078132; 15082699; 249267847; 724457743; 131756655; 709646699; 719684624; 448066462; 174534914; 237294283; 748572127; 732240040; 760127555; 152306910; 590786293; 354965083; 704223824; 656864509; 200374705; 2383527; 452395401; 611883578; 702291743; 28505247; 660251665; 581619957; 492688829; 714298256; 689841673; 260247621; 905630266; 654225147; 543682463; 420906249; 216940023; 295195823; 972740617; 56721378; 824712797; 819681621; 978746224; 770375314; 951445894; 883044334; 740303190; 123859735; 658396848; 306381452; 793349926; 242463072; 942836885; 801427657; 148508709; 554498083; 553057726; 397332994; 125026222; 392847144; 175666647; 654252491; 342320257; 577296451; 885432146; 107299371; 551511668; 984317166; 530511670; 462401524; 428062502; 883017289; 882702968; 254456105; 205997673; 842550803; 883475577; 51583597; 257508423; 169601296; 400333457; 551645008; 192117576; 84841898; 99631549; 33596512; 224702761; 811524188; 667180317; 146653430; 508120889; 206559501; 69242418; 627241156; 487344554; 330354300; 742646173; 229226978; 966146983; 341149966; 579037588; 968431926; 924871227; 969773792; 655567459; 833370721; 481360755; 187527263; 938923514; 859136319; 341243051; 323888544; 328098446; 485872718; 143493190; 127354097; 558364639; 940054105; 245522026; 312419188; 535690438; 604357574; 603202724; 238375522; 451369855; 551622989; 777113536; 353551108; 148824621; 897163892; 787118567; 835224753; 868124404; 978863311; 318984169; 516507005; 786243998; 756725958; 519329520; 382069550; 726336105; 673036944; 314855287; 809979333; 857615322; 497763965; 632086525; 506845477; 429090790; 939618221; 340583166; 530479476; 422177190; 51846929; 133174439; 999396899; 280030502; 832076716; 123684871; 930810433; 401218833; 216824866; 161760394; 322801574; 413989659; 399632867; 405322007; 274936556; 415787731; 178403620; 589775356; 290509818; 1601168; 144754912; 143545673; 373928266; 368590723; 878872932; 97010082; 600303422; 705718608; 902996225; 790289993; 87617603; 624692735; 825189477; 715272771; 556408060; 401207721; 337386383; 916549505; 563513543; 79951149; 552089828; 815068660; 130738413; 11673128; 386126425; 933528386; 58175310; 964007685; 892528561; 564738022; 674705551; 438209291; 178102526; 615044425; 556943805; 812673853; 807368096; 284142562; 886263918; 130311560; 15890729; 944567519; 222452928; 216414152; 466215237; 142021951; 16708020; 563449197; 651349363; 247087142; 664239003; 154194589; 364609849; 371122379; 170254603; 634904674; 749839009; 182497156; 126840791; 888781594; 364322195; 970994422; 801257174; 633513663; 809688600; 241600422; 164467942; 305190218; 470914282; 34861712; 217859685; 911379349; 669307726; 654280506; 687427573; 86894855; 827724312; 505143355; 876224905; 184027147; 472225952; 942661575; 759292581; 211679644; 262274951; 779460004; 509335415; 222788471; 890122298; 2485663; 457665923; 943755770; 302538453; 840242731; 816058606; 761123380; 999309343; 883258988; 126298867; 732641819; 263165112; 963564214; 68520911; 345626042; 896294063; 700530502; 24099753; 994019818; 181983119; 202853918; 341250889; 538910168; 931148305; 511343367; 292780224; 918370088; 114772976; 901218520; 427136681; 447266585; 141521387; 934492809; 164704934; 113228195; 864807970; 575177924; 55857009; 237638244; 352920568; 272892643; 448511894; 947639874; 473477295; 980573371; 832876567; 334488506; 180502246; 2667579; 926665041; 493853260; 908430489; 767168278; 496559748; 232989943; 266544120; 749282697; 690366929; 937139268; 233068594; 831929174; 736739566; 727045468; 965773062; 371713766; 661706358; 979640337; 607841724; 612573592; 337131509; 122530384; 346218166; 252738386; 402912045; 650099766; 589424664; 81672649; 342581915; 368197438; 583738839; 50024709; 824583477; 915916573; 279240560; 790247458; 148060909; 919816496; 216976280; 177696024; 673713296; 623364768; 252499773; 308706932; 734633216; 683751755; 329116579; 576084207; 307699920; 718036261; 207495697; 718824263; 467510407; 604823437; 560787959; 237520535; 200288283; 972596876; 76041606; 404206687; 388291571; 758236157; 475568166; 475269504; 703208960; 213125488; 304925875; 502024460; 233120100; 930681011; 260235569; 534784773; 459685507; 351343802; 552396959; 753404014; 217165295; 929798959; 320628615; 795057070; 707534466; 138166761; 899116919; 418097506; 330595338; 839062347; 298487868; 175306744; 165776804; 57775889; 629015561; 838168884; 764475714; 860993265; 305178868; 75508475; 872411436; 819931085; 266973893; 793306073; 401603803; 777150241; 536363636; 139947850; 922371896; 752902245; 102256873; 907289116; 290881460; 113101821; 400500599; 894313620; 911494699; 239336965; 944458417; 512154529; 886405457; 160329315; 730082805; 85485640; 99262117; 611245911; 704135901; 434894127; 849356200; 831961923; 375123350; 259481359; 523297796; 669473132; 142420477; 776309401; 523684234; 706139880; 472202510; 689611632; 959583568; 976517997; 904880718; 68276919; 964232683; 652509757; 86329083; 439739195; 253834810; 539377712; 221754327; 619743674; 805569353; 622923257; 332163490; 207568608; 501753456; 54831042; 168242744; 253588700; 356703694; 706830327; 60964459; 256051364; 444735418; 443350605; 778741678; 480965483; 448239926; 825414080; 361418670; 778509057; 766004579; 949666109; 180237364; 720493277; 889353474; 609610535; 643973157; 299202854; 841892295; 923691777; 256096429; 174952113; 37460992; 579635160; 930008193; 674772619; 223516959; 229232679; 877028463; 934688075; 36673116; 695967154; 701633702; 642075008; 930139426; 566911508; 789317256; 846376915; 516290108; 306063274; 169921887; 28663614; 94398885; 66035640; 455852177; 959317061; 575941490; 715419348; 913017952; 297555982; 318473550; 459066456; 570968712; 681546928; 112548413; 838295220; 847734635; 964279083; 553568080; 387997512; 373410940; 562825422; 132025854; 537333869; 903874802; 529750167; 821765812; 135162531; 810993747; 629049966; 932315768; 759525251; 276365297; 206587206; 421837164; 923536030; 364735029; 383830653; 706426910; 597353050; 912534172; 408520016; 241381474; 241959948; 536939940; 58809499; 819547366; 57143611; 768468372; 815771249; 624232541; 227518437; 241975940; 588806495; 140319253; 513104836; 800619733; 184823257; 592576364; 323451691; 595372536; 45330000; 299675436; 405134548; 579137606; 475131579; 416297046; 766734725; 287540872; 636347073; 930603949; 822285694; 920249163; 254442680; 958829309; 601831420; 870720724; 87291397; 742381866; 2228039; 353775504; 419403740; 614699305; 575177325; 858031502; 390153394; 667231167; 567415415; 229643799; 456195978; 728795127; 108203092; 820895212; 224531809; 382719967; 713011118; 821354012; 506570790; 334414589; 578416645; 251787310; 38547919; 370034031; 288451980; 191857427; 272695304; 703941354; 790194270; 221349815; 105621231; 820066783; 243458598; 244395440; 310989609; 909875910; 815092113; 898862982; 241159448; 1296261; 452049123; 149478599; 343661398; 248083261; 633418014; 553161072; 664630466; 97610452; 965474329; 946391479; 203230743; 205961880; 232915649; 734262918; 423821462; 133643776; 747079142; 303219204; 806389553; 246554436; 44527246; 247570725; 383841522; 851527552; 340236384; 292862879; 769897558; 103663194; 763486975; 739692368; 401500295; 795508782; 109523558; 61633284; 434619539; 438516970; 992915766; 388568812; 267489593; 130757655; 186140258; 286667871; 952323471; 752237878; 935848017; 878307741; 109018889; 601394567; 563482529; 571999777; 322626077; 390909376; 846096402; 600190399; 735143653; 196835312; 233498935; 437596815; 178633224; 484556384; 144762194; 590861648; 46661593; 361771628; 602207099; 203561652; 150419743; 130284977; 564834683; 810698675; 476041763; 13636022; 355284560; 710289813; 536185256; 899216126; 609060768; 68988526; 497756395; 562852365; 947561840; 434860180; 748728941; 256552555; 476843760; 576388339; 79097457; 286291504; 943030870; 185050331; 225573288; 74761609; 934719307; 897073749; 496878800; 367622760; 884236366; 328496395; 919260032; 584022119; 469228965; 318167713; 181561505; 662284707; 429180824; 300203570; 771659821; 724977173; 787883979; 301894567; 585785234; 881804964; 274799149; 331230395; 307487166; 302843983; 846587780; 44447204; 202469318; 36206237; 511684632; 277516549; 307472079; 939080385; 225766701; 849930939; 311384788; 472394583; 527915803; 832195220; 200077877; 796096062; 516491784; 708719819; 342934450; 812498928; 526206335; 389347399; 148204903; 15454129; 984873711; 428957646; 512757933; 269747731; 606281997; 313802008; 855946928; 513112949; 683315728; 539858367; 91354308; 879165180; 340090554; 43228532; 708742219; 911530212; 149971695; 988428945; 131583109; 735401458; 365829087; 211828031; 421143619; 601238749; 476819781; 335582459; 671069547; 768184350; 989155159; 805870337; 388145753; 807171417; 642895230; 419971784; 167123588; 819677966; 111163060; 352757236; 858616860; 786441520; 563078389; 835716764; 876846931; 177740995; 328312724; 258150732; 999457331; 381137206; 773002559; 930941119; 33331064; 571808822; 860224325; 5169680; 44572311; 428506129; 715544445; 95366896; 760678428; 914902051; 822799281; 51839294; 270529588; 606751816; 358002938; 994201837; 661340921; 29504257; 82806294; 786556737; 687179247; 71880628; 860013534; 590758571; 478196158; 889139433; 607486470; 673083735; 792292981; 210148629; 871020208; 296988135; 233098230; 463974030; 202080817; 643689123; 681727633; 141195606; 249765139; 711030920; 417679139; 745849483; 492218423; 220908611; 613301584; 368211950; 314933825; 871266213; 968142539; 332040435; 334231192; 921237534; 378894771; 664142716; 229317303; 697854093; 774119586; 148802767; 382102830; 366670070; 789535873; 534122571; 309711560; 94011939; 589926549; 188834194; 115535191; 711162082; 555925720; 7002979; 204269970; 393755795; 83598919; 889087085; 231054541; 616367603; 332172663; 846354361; 762904132; 483978370; 388053245; 349375464; 120420667; 965019387; 992698407; 608212998; 123029673; 646705046; 700986443; 140089200; 608882686; 828866257; 839379649; 157327266; 652885627; 195294517; 720232077; 708097578; 835011664; 714642895; 774567496; 789382768; 691386834; 118687277; 875135935; 71172363; 894427614; 567968557; 652801945; 779084789; 757904635; 650130426; 923491064; 685599842; 569616529; 892586384; 941009696; 597647632; 224218049; 771556670; 840143713; 568434477; 427421857; 834610506; 109965859; 488724535; 527432403; 991424658; 466773105; 328668150; 243222109; 719929839; 304734422; 173288498; 984566971; 522176431; 466762075; 395098292; 593833827; 98854392; 276443183; 507344064; 675117556; 149691642; 37771841; 474639929; 220141075; 602080023; 457835165; 546781840; 674934648; 661852974; 75086349; 468540557; 965844612; 775126601; 771689260; 429699114; 371626800; 370841970; 525603562; 322408121; 690021656; 926277651; 792721379; 16272622; 35485842; 210387990; 898597928; 108645744; 2122338; 411426190; 82592546; 245267840; 315012850; 229946792; 35764774; 273148739; 814845359; 711749648; 175399244; 696448135; 341232351; 576764631; 473822515; 970752050; 335225912; 737781582; 382496644; 7594891; 705643247; 650504436; 253528048; 614337705; 143988244; 375320933; 776355647; 34118973; 409615468; 290052317; 747616370; 991319298; 77343623; 492351330; 889219555; 571052103; 264197346; 247410103; 653749837; 517908997; 644968678; 259191940; 779786323; 116813849; 645593174; 747223943; 669162150; 743898321; 373779841; 5589128; 485343360; 955151562; 19124982; 913191265; 959180333; 941395844; 57177975; 247733200; 348242644; 932809486; 220801027; 314342817; 849078913; 689837274; 828320817; 812512107; 935871982; 491117533; 705969573; 883338164; 191921328; 431054839; 955886323; 610036057; 733194257; 165461689; 636722801; 332074028; 465750804; 468435845; 281400399; 282961663; 746820271; 630074460; 917511048; 764910893; 421072816; 300235348; 552676462; 309288173; 699634446; 590918152; 684936405; 967946280; 967174568; 512619680; 99143832; 509732001; 183734492; 495372619; 691135819; 648986742; 531741064; 464867561; 714753942; 197139021; 535870931; 614757446; 869709312; 870406399; 67617404; 9532461; 665321242; 727950511; 416493618; 987460764; 267632368; 911455087; 676717286; 321418732; 11414781; 326943209; 721435123; 635384222; 349346928; 963909163; 60519145; 916205082; 370407446; 466782439; 574824633; 926709069; 740768506; 113442229; 7099927; 84276494; 840923872; 172624922; 191484246; 933722128; 592540553; 628852234; 354826023; 23853996; 489562495; 870293185; 57272384; 216692016; 496486622; 151222573; 56892477; 69034191; 541218678; 772923674; 887714933; 996255454; 489434690; 753229808; 153655952; 359026852; 372931952; 995642003; 462555795; 573333976; 97599821; 833230391; 155796415; 880422019; 498213570; 623747778; 10257600; 393879633; 133079599; 236923018; 16209432; 967195347; 884797525; 265378276; 873268277; 663377583; 491378097; 300579224; 550160857; 469099337; 83868101; 748082505; 49856278; 565885323; 290601848; 756941219; 576053152; 38689647; 753409730; 845067880; 737596433; 737716690; 326247243; 30917059; 663643978; 800967165; 655075700; 379185499; 396183545; 17045327; 443155730; 290198922; 174686966; 558767936; 100406785; 147259422; 778019993; 277061718; 226951249; 26011274; 15131696; 535899174; 195883282; 975962472; 784007110; 92945434; 523330577; 966222974; 611528047; 16453396; 162138411; 124157487; 304154289; 909044262; 856171425; 337183716; 98122241; 863543840; 531080568; 541100194; 246561842; 277479130; 135229144; 878675223; 189501363; 292224679; 54657174; 242082221; 922715502; 681909321; 409630571; 392113409; 402072938; 599517801; 943374964; 501999289; 272167844; 417319790; 165328261; 300527810; 844672458; 216509946; 141248846; 151663122; 150795969; 400378226; 204280555; 987794009; 56750015; 521960578; 664746724; 506197840; 613830596; 393932286; 440269670; 70201417; 160493840; 996595899; 275357254; 351930528; 486991418; 945286016; 549429112; 412112715; 555782806; 162316099; 296837100; 206012207; 25357440; 481480845; 151977343; 357652412; 248345190; 533804092; 722314689; 176960096; 982616939; 275331478; 797803913; 13590981; 104029170; 436774925; 589004145; 316468010; 461980739; 170244783; 981474134; 716620545; 277327619; 603363148; 355457043; 663178978; 981669626; 477396845; 241670793; 532933152; 574585592; 131785969; 311376382; 603434083; 481091976; 192072288; 99957937; 169751692; 712626952; 129418392; 307211730; 910058086; 845955868; 385565675; 46699667; 864248098; 551437871; 197447398; 966503550; 217043248; 413667088; 895134918; 656726631; 957185869; 951787169; 143911377; 905649549; 978293390; 238054220; 924931296; 594201964; 716282060; 77895784; 725070524; 159931695; 628579595; 469318889; 455314685; 12780779; 652005745; 831500225; 716871523; 568703431; 341115995; 612982744; 317635473; 480886618; 881743556; 987465115; 299557621; 166997973; 497051603; 517146577; 337993194; 263795916; 220726857; 954944514; 727356457; 160869937; 742894002; 484894289; 873105749; 264300683; 470101030; 828410616; 649834954; 131310764; 708815372; 340464412; 284525032; 948060390; 718750297; 608238287; 819121332; 690457673; 442092316; 311572830; 889430496; 605093391; 150639231; 458908945; 77062919; 160065624; 538556792; 425544731; 883991837; 497783498; 255807027; 311584357; 501770813; 269053359; 970462178; 726903766; 775357828; 36082331; 325059679; 182992512; 255348018; 696651389; 617717502; 346072263; 720856940; 562149168; 197332779; 402881934; 114039203; 678561105; 955531152; 846893828; 111671648; 833589533; 275772851; 561794370; 302337714; 75522716; 652442405; 759656840; 670438152; 875738200; 717154166; 88492204; 360820963; 731214487; 826149847; 60136248; 492581032; 48401069; 582886153; 746082421; 628459051; 301513073; 964931427; 943822349; 881602448; 471077261; 899039051; 537271100; 125285514; 364863463; 304738885; 810734949; 217525536; 622262443; 298060722; 255484731; 77270943; 903089531; 369231310; 76156529; 740081942; 414904814; 780670037; 347410204; 590085941; 111809332; 163678961; 762224814; 456650521; 512545263; 248460257; 924684394; 135093636; 305759105; 792431560; 297965023; 73160054; 60953215; 356429391; 838476535; 769244685; 819076971; 355140181; 989750865; 60697465; 238913001; 171875699; 715041701; 129116169; 914905188; 444205677; 538507012; 894534372; 726501558; 746750356; 463645596; 447093311; 955572002; 303904900; 820498411; 614198317; 299601807; 672475985; 178329893; 386898082; 507951567; 90565613; 408052189; 206031063; 735769477; 512330187; 658469434; 988204162; 360136538; 857806660; 8455218; 725382235; 423369085; 174745676; 391247427; 659798470; 481576274; 721609002; 696155145; 134764146; 543546156; 981562542; 112395501; 949402400; 675883947; 309908241; 212495333; 347638318; 441209541; 429208245; 810701423; 905161622; 338946563; 285410195; 177610725; 349822007; 384801457; 71583996; 679740398; 992348606; 624275578; 970495818; 202958244; 549899989; 355193618; 891539908; 380565576; 485567079; 786777132; 175571018; 350228502; 186642900; 670911587; 623604626; 35961283; 197941849; 444438724; 651175756; 365739718; 853779461; 15479468; 343423745; 408758931; 270847298; 115704228; 441298396; 856469504; 711561693; 754271585; 23230733; 603922514; 790928213; 172902891; 790489409; 288302827; 496632360; 127693902; 139212275; 856095775; 578240697; 830556423; 211371312; 216137333; 574601624; 643039625; 47447139; 451853615; 526473527; 324910681; 833191106; 940216557; 256952189; 438936023; 118832893; 866666735; 692895981; 202717367; 838461080; 793432999; 333566924; 142056040; 500648794; 394128810; 683669364; 625600654; 116238339; 250517781; 182900485; 427175538; 684114567; 54652850; 517991841; 208053068; 321004655; 869524981; 503126253; 15557551; 986350531; 172638625; 462310546; 692730350; 830874415; 538007466; 467568665; 688214734; 35635582; 910572150; 551848542; 737790899; 314129203; 848213256; 795562662; 890237924; 144281277; 959918406; 326788360; 516676508; 127183260; 129295268; 14861176; 849229381; 278317776; 588361935; 739228600; 458668599; 921049505; 89684662; 305769415; 952522839; 174783528; 108113333; 200231713; 752854707; 875611991; 562106566; 884732125; 84445640; 773011082; 311306365; 285960302; 243351270; 444429032; 612119425; 605613360; 148132650; 727859972; 775426506; 218757739; 965869805; 186283139; 265651912; 552284647; 531621238; 308091299; 285858091; 496561622; 356903067; 105598590; 834172098; 337784026; 184429501; 103680041; 260411022; 866912870; 268222471; 882691939; 885800129; 216761758; 720517285; 471827117; 503656485; 379784579; 193611947; 230617499; 393598069; 147872704; 47832212; 795154177; 334416484; 812608691; 880233927; 318271661; 389366914; 825446723; 846128679; 786364948; 146390401; 359052760; 658841513; 188786748; 193229739; 317841406; 397940755; 779133883; 433548372; 63169169; 68198992; 347732960; 895531743; 340262530; 883829645; 577687667; 809082901; 974856984; 147195649; 211503847; 964963305; 326018069; 666639000; 731789399; 402456596; 136500214; 866543620; 509551470; 382859698; 420308931; 65053306; 860155374; 587342532; 141352738; 85276281; 364810473; 943359649; 903331516; 664664903; 72762453; 233735741; 621234292; 889690254; 761570973; 351172749; 983178971; 687758375; 761151584; 197501459; 809638294; 326961600; 920557209; 292709367; 89133171; 857600178; 57601131; 846460825; 51023366; 655520080; 922782738; 399704722; 617942162; 960947717; 429122176; 97534186; 186054681; 343987988; 705646722; 309696483; 235932081; 493382332; 726182976; 318921176; 354494666; 738291736; 888761660; 697356338; 584807198; 266813260; 975682510; 866908729; 240093246; 859579902; 419350290; 723804590; 248681241; 815836032; 510995374; 531738829; 7294828; 708931767; 471288353; 275554581; 618558978; 816952183; 187278273; 749390099; 703631527; 604621831; 429506151; 154142891; 302263749; 611545796; 846996636; 43594794; 801839565; 921413438; 525828007; 122589475; 176277933; 903890452; 799404702; 308100551; 150631897; 305282410; 810160102; 19465048; 395391701; 311613343; 648529542; 629343567; 718329806; 559516352; 357111461; 274287963; 8396295; 725989407; 327415991; 190099864; 105927111; 377603136; 450288513; 133656877; 500766126; 851238139; 884020449; 325151013; 743169062; 902497773; 652079030; 668378518; 368995896; 386607899; 691214199; 346704290; 647945835; 161377006; 924157048; 474027284; 96591334; 459468867; 319762330; 829990219; 582794329; 720027533; 542448290; 712524913; 317718028; 409626144; 566929994; 154869526; 762725987; 114903451; 34519031; 230779239; 273692280; 500305727; 245412385; 946397573; 52926862; 178810396; 626767046; 179518163; 23796736; 111524030; 400570064; 179070689; 543990876; 844081156; 274898140; 973996279; 701255714; 277361320; 287179620; 782401892; 646999208; 110750671; 495036513; 537220560; 508259917; 70677560; 256037934; 159185267; 568087093; 885847818; 696253671; 304208261; 822676334; 317873669; 940468425; 994816474; 684051003; 67601297; 401219950; 261683736; 245892788; 782852866; 171908151; 951625960; 45067575; 174071999; 553856152; 524671144; 579325786; 76781989; 198115961; 754188767; 516706797; 433475716; 757620603; 121182807; 214891664; 783574129; 848486995; 776850156; 552864948; 702330954; 559557619; 349584080; 232934983; 604905862; 908307233; 357069126; 439021576; 785155835; 464802891; 947499991; 935236956; 921709856; 557576206; 459424110; 874578471; 538500711; 404985096; 961299571; 662645529; 187108129; 707013682; 564861756; 139054917; 254934715; 108146740; 332654662; 618218064; 326797180; 446502064; 635943360; 242264112; 624446528; 419804928; 657372576; 496590563; 487422112; 520487459; 65002759; 954926411; 420739264; 4629750; 307770915; 76050249; 178083942; 613797993; 905776840; 595481503; 403495519; 537391643; 196618850; 555136813; 623974333; 788305609; 156975859; 496600549; 696842923; 212423308; 186174568; 455889854; 824159707; 877694475; 87778188; 592755245; 325440794; 700036990; 34435983; 100302179; 445082027; 763969412; 647203902; 900999318; 780639300; 605114802; 679171390; 735548210; 732261499; 161093461; 686410673; 413103646; 728683711; 536976503; 381454765; 565448107; 718075155; 778796721; 637835073; 800609433; 452390068; 761330317; 312139148; 888760704; 678280849; 308320574; 49932207; 483223159; 588307426; 893664014; 517592341; 530807511; 285954986; 468545089; 689707523; 800292117; 772152244; 7990946; 891084183; 129210434; 951134505; 819426818; 500608988; 955321609; 514431922; 463864482; 629546791; 181577976; 271996530; 535077051; 229462337; 478501101; 345534216; 465204493; 583777110; 717878463; 292950875; 244663870; 768202612; 39017386; 321258634; 318946714; 180481276; 895538835; 397071999; 667920254; 411635159; 875946097; 747823292; 261573979; 323812523; 301870962; 556806316; 261836318; 208149186; 370451018; 319893586; 869934944; 481834746; 584462390; 425569080; 222748252; 198928317; 285395565; 229135683; 507914373; 351151814; 855402136; 691906968; 426792279; 384295637; 815344288; 299476620; 621787210; 72688715; 573638719; 118159492; 813317062; 994846028; 4518752; 798829121; 765741657; 16192504; 602114207; 216799126; 958166645; 31378869; 959813391; 38799008; 555998006; 497116372; 27872651; 800158934; 667857678; 982254864; 635789645; 168248783; 417541716; 121571114; 124069427; 436448702; 714468125; 695824381; 238411132; 362919883; 845521108; 642908282; 369896308; 795794078; 600607153; 170322601; 37316977; 499898838; 926569982; 990917842; 469875189; 104152639; 99860091; 279168211; 935503027; 368338079; 330131944; 475639669; 948780662; 847346418; 579235732; 124880009; 530392900; 795897982; 768824022; 954123240; 462406279; 924424797; 271196728; 503132798; 112346724; 118022598; 203211167; 307096610; 570181950; 614159128; 867605898; 410742420; 314167217; 361318670; 899673072; 398413446; 822289399; 225042271; 111860077; 898337153; 39966731; 945479122; 660408043; 845059975; 143399043; 806008074; 413451096; 414416193; 882411200; 16467106; 790011171; 226695776; 725643439; 40797494; 150773881; 983952594; 604341536; 730296585; 462680154; 251211854; 290187860; 799818218; 906571088; 254653050; 675372550; 22801816; 126530220; 14992927; 112264564; 197089011; 172244655; 614451555; 768365014; 910822113; 992760204; 129105921; 430226591; 897497459; 931249745; 396653738; 422624723; 984091384; 987436359; 341613038; 580252753; 783511148; 757908942; 978700651; 927146214; 584752419; 673605257; 657736746; 324743661; 976406808; 359282989; 427280636; 179512188; 909630560; 754288656; 188828236; 606197728; 758084015; 663095475; 934501590; 927520701; 900522789; 330291429; 503860088; 399510835; 307728662; 173252641; 190927166; 533564841; 701766501; 844110625; 148396215; 861656275; 661961990; 64951157; 991494201; 233129004; 193781672; 968119667; 875042747; 617016784; 480017654; 478798824; 141272492; 745543379; 69825142; 415018371; 381816417; 368776100; 159288793; 888985412; 25290786; 209986561; 574212323; 959608734; 995090267; 818328775; 673706716; 658366558; 758679706; 458933821; 461397169; 972451593; 761393454; 916773126; 220517251; 225025006; 283461914; 555531728; 809655698; 508845674; 429550590; 427426595; 945744151; 593790337; 188549867; 476709000; 51051831; 798837119; 572177077; 925240360; 335418319; 131390798; 99192267; 758080151; 207985688; 563466124; 131095658; 342935963; 978176437; 470369552; 299131973; 801073091; 776822740; 456306989; 628620799; 820493540; 787041232; 6243147; 234409988; 950735830; 628679782; 469878802; 72828184; 641006927; 145431804; 602398804; 998999125; 458603689; 337191743; 208454223; 425335525; 486375173; 989392470; 528634601; 194727811; 448152245; 946919045; 757048922; 521692152; 338281894; 892459725; 424895829; 333941973; 473741293; 247440605; 40670577; 692498579; 18670188; 653396756; 423016873; 801403100; 956227446; 636510628; 768939005; 278377353; 716953529; 191407110; 91905230; 172073469; 347664546; 272555482; 753808787; 451551423; 832087710; 443615580; 520424033; 776052281; 607462583; 724575925; 317633901; 812609719; 2123362; 27338353; 536282733; 556556246; 793860415; 71892544; 408921483; 490926112; 290977205; 139922581; 942851221; 485979213; 425565270; 498526273; 477252590; 735288530; 320511031; 643534400; 948761843; 6062060; 338082334; 253569001; 69953406; 746691762; 155047173; 633969955; 867499129; 75974374; 664091355; 343328002; 829788132; 127356930; 945528225; 930054458; 189130372; 69641007; 633813815; 372877113; 422463142; 159493494; 662290207; 582961340; 259523895; 265534659; 947062497; 39193004; 169607885; 798633839; 572503040; 59268612; 83391474; 879046339; 214542828; 501727947; 59607806; 840194374; 793431503; 507318085; 536940569; 615228298; 813658951; 711058619; 678188919; 996405125; 537014986; 864962841; 865219172; 926127086; 351716147; 5532763; 599119923; 104044892; 863462685; 59128067; 650009465; 469558120; 730585965; 826619064; 125531271; 508194600; 629206389; 93682068; 929897225; 503854469; 694922612; 723810797; 504102898; 457409913; 875128004; 886435398; 994570782; 547788137; 544245401; 792116850; 934845653; 224117300; 409765727; 232696031; 970537147; 885716035; 257918310; 21766258; 440238376; 585103; 175180772; 961001575; 217336654; 750104600; 663067202; 593124946; 702360918; 205878464; 675604149; 624848659; 37621198; 353523419; 44604915; 414411983; 822466911; 284229964; 693200442; 201085636; 66652553; 678600220; 857513784; 265681564; 2634919; 830262353; 419942391; 518243928; 973816995; 508762293; 915895590; 955592045; 647055065; 397133921; 18404091; 318704917; 234618765; 414279541; 338562826; 172562464; 751637284; 404663270; 411900230; 697542074; 500432460; 446304358; 843049679; 127682874; 688213872; 718669293; 573669660; 139164543; 940154519; 711262562; 359787702; 281862412; 171028332; 513025326; 680936782; 5840703; 540144934; 205943106; 875660770; 966797941; 140616484; 363784210; 692978019; 746911363; 973865916; 21801190; 437893652; 171042937; 304330193; 120141866; 312031003; 604213879; 186753555; 443861318; 260166074; 878561332; 378505876; 545709446; 526078568; 542512918; 764011468; 740588089; 127430507; 748464746; 128475758; 628497294; 567766730; 763651187; 520372201; 918350055; 122606408; 996516682; 343718057; 243224024; 530779607; 816268678; 155627972; 469029077; 590312590; 955278863; 464546808; 750730596; 981183498; 372919482; 178917821; 983361403; 669249557; 530656676; 542347487; 300382153; 640703376; 862693477; 915807583; 754319238; 667931297; 277695713; 567509215; 304775440; 156804645; 748620999; 96842103; 395624317; 877820303; 352429059; 963328853; 596971381; 334477253; 542714249; 149069517; 18922218; 725596522; 195552591; 77586151; 574212434; 487673267; 400189355; 602993115; 42068555; 333323319; 724609620; 92001005; 849146586; 912888814; 117718205; 418477790; 916351977; 860568965; 989748234; 588527144; 762189401; 662701463; 395672053; 301918579; 566820522; 148782127; 72278525; 330759668; 846810129; 842230373; 97869517; 593999050; 761648581; 94611834; 747092268; 369346441; 367912108; 329416244; 247606616; 616608785; 325832252; 349374731; 991740801; 842111329; 662880403; 623283953; 92052232; 27096275; 727899619; 173471258; 42210095; 393821421; 437672781; 975131583; 170427152; 126579046; 974766557; 846276687; 776250462; 577975466; 86805397; 147274409; 661951435; 920700474; 185920969; 881524519; 232349359; 32094884; 629279004; 724170033; 321859424; 561341086; 832264344; 941690320; 884457614; 215014820; 48778200; 38317258; 430264388; 247498361; 660811849; 731699823; 468608115; 122680988; 996623292; 448138703; 921259446; 170588224; 426518798; 740754664; 146092905; 774532843; 999598186; 228862194; 728701430; 709041649; 451448124; 12673110; 398077222; 10145558; 574000842; 307962802; 164633735; 674594144; 737643842; 483477931; 89231851; 419530854; 945206210; 810942446; 227845366; 279357143; 85522573; 672232296; 273864431; 582784037; 458572422; 230471286; 842313932; 492004802; 84349535; 688251683; 75533206; 221111379; 392875447; 960730521; 904367201; 31061810; 163296581; 950873878; 725153848; 34762116; 671222165; 421995968; 849169075; 618703; 186087838; 20310161; 922578010; 566849685; 706955468; 502341830; 423849812; 117956418; 812811910; 977188191; 490623796; 896035879; 953758371; 20300728; 492115445; 143626011; 523202449; 501639598; 780326204; 657805533; 136989631; 68057135; 709013701; 497984592; 291850040; 874372123; 758688953; 421531785; 932379707; 139446219; 734803972; 968566756; 556417757; 5463962; 46411771; 341517340; 989855559; 399889963; 12508339; 455826521; 95298546; 345834111; 595281212; 334367367; 863876879; 991293576; 879939102; 976284344; 327078879; 641312125; 302125856; 634283529; 687025996; 577241716; 686084243; 408475343; 883194009; 457590867; 712527060; 776312645; 371182687; 655550945; 904302794; 848856568; 177566205; 452421150; 792891423; 502564371; 12889411; 672824632; 536746953; 948121097; 456829368; 63791442; 288392371; 965655874; 289551684; 807489352; 638193304; 833786542; 88939464; 499826737; 382636595; 267970667; 728557945; 387542058; 251870225; 366082874; 364439185; 609281689; 995299790; 879469353; 750492966; 851180596; 800537934; 438221990; 702619853; 769710889; 543253597; 481424686; 904952991; 397822114; 654196327; 609656351; 618809948; 92345007; 996960062; 430542233; 274110731; 443261276; 78953965; 521766202; 449397073; 908735073; 150108952; 884455242; 678736953; 47316804; 372658521; 431370285; 362278592; 426954851; 216869521; 404442097; 467814045; 591484208; 758169339; 745515792; 545531735; 409355490; 547694681; 363879947; 857024914; 839823687; 577714911; 602666929; 789701545; 662097372; 590304211; 488943070; 782049498; 930522465; 528568704; 591409651; 374185178; 854180997; 896823216; 262625983; 468893523; 303729596; 559170176; 490341118; 163740787; 372403262; 793491979; 139993592; 918225282; 756453821; 815732063; 909032269; 25113064; 891333392; 159127127; 1166393; 840245859; 414020533; 872426908; 141314563; 599041324; 180593413; 550974040; 136434290; 347624591; 865955613; 576917179; 694539698; 767459286; 630089274; 840961655; 467525953; 311803922; 641187733; 894988761; 981966925; 692981462; 528350338; 511788360; 686673388; 496634318; 772298426; 956085350; 235110236; 927824853; 313660530; 545523335; 369114990; 747756670; 189413897; 449317398; 573911904; 279377462; 473420217; 643309154; 414783725; 164413347; 766472341; 375564352; 3070629; 783875228; 409896611; 620724521; 717720069; 105232794; 152674724; 497805196; 524588767; 464225067; 970217473; 27051937; 829336033; 530677974; 77942200; 200871418; 918048605; 116441112; 842100203; 682209119; 796679807; 551970413; 292813998; 496884177; 228168826; 9002; 383761188; 513332114; 913591088; 356842389; 455309386; 887256484; 148048177; 184943520; 141366146; 761916048; 721320700; 461241056; 243950689; 627919217; 496343154; 444789023; 445794174; 311082572; 730964663; 577240561; 557284531; 347120217; 572751935; 4921833; 550731064; 221923920; 496648484; 87553845; 385255773; 356147595; 272202509; 780854366; 618502161; 39069566; 448268177; 829110970; 812097036; 753466775; 109630295; 798328618; 303059905; 239205094; 284656879; 249367507; 608231062; 195847211; 781017573; 253165658; 364562267; 623126018; 895615591; 487970847; 697707141; 170265960; 885068400; 893254717; 559726357; 1625722; 191849768; 86403235; 944948865; 711287377; 509372874; 185075115; 263250385; 754380540; 744979383; 48338350; 477748441; 74163673; 554244567; 744001177; 491204009; 499167714; 275080218; 42811197; 127401543; 291964823; 435802911; 185924818; 851621651; 731399711; 90274020; 51651798; 942737439; 681779844; 500067834; 997289118; 808878014; 720550440; 407688098; 90088994; 239063903; 872579987; 349566142; 658303479; 966234619; 597640461; 543582196; 465551875; 339429028; 976633173; 939276382; 803128839; 363687141; 302126418; 215903652; 523858361; 456141849; 462360439; 270365611; 902323608; 445521165; 149947423; 487001555; 685945721; 806614383; 145709319; 736237874; 23114099; 271897495; 190128443; 727457086; 555390860; 121482675; 533558919; 952750520; 469122751; 934969770; 491308568; 705394374; 892220170; 108141040; 294173749; 901700058; 871271319; 824412339; 337978955; 24394837; 753634970; 152819050; 845039934; 807180174; 323303595; 504170844; 543650945; 270297895; 193028536; 372658885; 195277657; 205676421; 458111431; 771677452; 577712004; 49159036; 460373024; 719279543; 798868864; 146605061; 822525096; 14472305; 822619403; 563945019; 346501367; 601868326; 553246801; 639400837; 640347548; 442234200; 466561620; 150968772; 955125415; 622490706; 676473055; 303332390; 293535747; 933557448; 599965471; 211034719; 75069761; 699038114; 832590975; 452150111; 853147935; 992377657; 700993901; 307082110; 544751495; 716508988; 419366757; 682063811; 371970282; 175535122; 874395662; 17655787; 832206554; 78031515; 964041370; 142723098; 699620165; 544828487; 486760567; 893112412; 225584953; 284461527; 522313086; 615269937; 20352993; 998736261; 856470927; 64219025; 732735432; 642080958; 640073139; 317465248; 221688300; 469219361; 957972089; 85933514; 309735718; 911102816; 919907858; 115070615; 31178058; 809167645; 361874744; 716383781; 480809679; 386923615; 702025629; 167320151; 310824358; 996494116; 383543104; 546923513; 266944815; 290868920; 517845663; 479200236; 401992149; 110210030; 552607676; 416810290; 722059195; 787209513; 454211899; 319759993; 674575966; 25092225; 87974530; 655701461; 593224292; 258675015; 209081994; 894771806; 87051924; 290039463; 507171741; 352715725; 159428593; 186398754; 495212279; 779470533; 300707805; 234460664; 727204214; 130037421; 882959932; 758321565; 630000930; 826034847; 100529471; 629418312; 572432275; 440918324; 539272300; 331939506; 501178961; 745971046; 942123480; 747654398; 252648179; 902643569; 308451146; 961635599; 117343205; 337324300; 259762997; 772600192; 153682409; 880015690; 893690754; 95232546; 266759478; 176918940; 246275248; 658271850; 186293453; 705672649; 263683978; 626051807; 467188187; 755849838; 902633748; 284720267; 119406929; 589176202; 565836626; 169210125; 914694063; 27087277; 904342663; 896243485; 392325398; 869953005; 540760968; 783881365; 862921147; 683359121; 962570141; 993364908; 536976461; 218326330; 557688875; 748497088; 743017227; 49996398; 990968603; 182370275; 594366378; 331019805; 428954271; 981533720; 998669756; 324620898; 422336972; 257057593; 205141622; 823122865; 956147916; 560168918; 473936456; 904993326; 488784121; 301860067; 625218397; 962960254; 72667017; 494867512; 643134705; 908909256; 843385977; 376213047; 820918674; 155902114; 340807960; 113102222; 523850777; 920655438; 574264621; 721748374; 716844176; 457106805; 549174571; 586595665; 260751247; 99869410; 64967688; 170386860; 945605958; 2915646; 738266814; 496235126; 660365807; 797254075; 247375808; 83189665; 515785932; 742330380; 854999632; 931217773; 106218651; 51171932; 79122323; 34616279; 778602816; 38340453; 848723342; 907765499; 426598038; 818669292; 437852841; 641524398; 618285238; 382443397; 509513851; 447373631; 85109722; 213516420; 287187410; 771249058; 656683894; 552769153; 411178129; 170283963; 236503713; 811999692; 293138810; 848704297; 571967652; 225851700; 789302443; 278377369; 55089922; 524984109; 427848608; 490227808; 128866594; 769035968; 930770487; 257675443; 298729820; 350534085; 295903782; 117467621; 873468370; 900277207; 357735603; 672529134; 918404338; 67333850; 911697447; 837324141; 32987125; 477107079; 872857954; 728787683; 602294721; 241923443; 852271160; 279305574; 61326840; 811129267; 246988302; 92847434; 407860813; 283304568; 113096657; 359089795; 896667524; 50395879; 120164435; 785671334; 720469839; 29754442; 750142462; 118461623; 221555599; 51579543; 553279296; 864881889; 857743765; 811495702; 115036409; 721050568; 632058297; 248472613; 248313994; 556099364; 675399271; 733738264; 650146153; 823912111; 544669965; 78239247; 94364951; 888401524; 123996681; 558421372; 604797640; 795804512; 454745770; 87281718; 713762860; 128151714; 307660553; 761349882; 686412703; 25200201; 57527945; 66281162; 127406537; 164259536; 407793240; 805317675; 874195984; 599920498; 230744498; 150849751; 46962750; 785895519; 223072980; 502484905; 871896324; 25570927; 90644733; 550595474; 331869624; 362997251; 626292815; 796979405; 253724420; 175250430; 236373374; 939118812; 783385614; 617935164; 345998203; 675008799; 879167502; 207307221; 341267643; 474317959; 484214276; 677276874; 214765600; 162189579; 666508096; 288176750; 951645052; 248768513; 290891530; 912639250; 117183593; 964139787; 330721584; 107568697; 79586558; 177305256; 492490449; 82667534; 879083243; 235588250; 348038932; 109488160; 676706706; 377998612; 564634646; 567730182; 239885339; 642627798; 866781427; 452001806; 416563953; 123510513; 212551691; 382351088; 842106733; 551745212; 177421195; 555406372; 798234763; 663878793; 620921762; 795864421; 880032894; 44381369; 19975347; 121616413; 758251504; 172223215; 389952527; 409879132; 887986114; 505659008; 721058070; 42418411; 736869077; 755403688; 970632666; 906530692; 398649991; 39768877; 21591863; 314430225; 950596894; 584739521; 293754949; 566589556; 863419433; 98086370; 410910778; 674511838; 557950069; 153171618; 451214835; 946172638; 483605291; 941441799; 830668948; 381506259; 550538814; 934551268; 95435329; 344808081; 14397811; 631152940; 281594650; 761716086; 617646974; 474524945; 131168378; 418869157; 804522082; 548804490; 59483564; 696576852; 288068411; 827821; 340371111; 103482864; 652972291; 211771275; 828376763; 284256111; 270964189; 173489491; 956489270; 481662032; 579351483; 26499681; 749038880; 734188304; 551072551; 923958103; 487405309; 598958747; 313354043; 442854807; 348805306; 408244560; 940915858; 557713163; 735365586; 802402329; 693450653; 435181457; 192256430; 243158623; 923696962; 539951334; 751580904; 879217608; 148859772; 928162926; 348487723; 453346500; 265954316; 153692291; 586855476; 873795937; 315595392; 683110827; 150406926; 68609308; 859989796; 36062431; 118016838; 516267916; 751436649; 531973380; 708293748; 862623012; 687119256; 299060494; 665064111; 449743174; 384920207; 210687345; 279685575; 632824075; 981323839; 736849445; 929213759; 931124089; 627625020; 504334589; 663535492; 332513200; 90241144; 348938537; 936694387; 469595529; 589409476; 611533102; 177047815; 259418737; 206915403; 788703518; 237631503; 328527492; 332886237; 208258966; 475568666; 367149003; 47280511; 745508534; 395204189; 301858471; 74941891; 609374951; 640516019; 804974838; 944011773; 977949257; 867863831; 662435172; 25002908; 984433969; 651171458; 680042261; 308491114; 792304972; 877840026; 212163272; 624573832; 225444674; 736834575; 297592630; 163249895; 866801280; 673600643; 668149643; 730097564; 870604351; 23028511; 326701115; 801693710; 620185204; 598629248; 510299550; 773077218; 292294698; 825415848; 42952968; 464518246; 221993879; 845045871; 864108824; 917410073; 890221131; 376969467; 587603135; 548146119; 492748216; 227484187; 925724008; 264203574; 119367923; 409642187; 920034397; 224044508; 75103657; 528504116; 263007961; 244760518; 31060442; 602872839; 101544490; 220737007; 534642351; 507584900; 545711974; 951619010; 450732023; 736293985; 497186547; 693795481; 388597647; 541993474; 593172412; 424481725; 986986960; 813723136; 317811654; 390089347; 424312192; 18389420; 414751865; 247872031; 472378444; 30106405; 819092800; 877672426; 271152285; 244873466; 193675075; 39504709; 93020264; 784813255; 184003574; 99171110; 871377247; 97535070; 197769064; 182091377; 255486331; 911247066; 604820161; 794209216; 566617041; 267105416; 632208258; 742913615; 500593146; 923435524; 344462488; 231510265; 927884456; 318340821; 929581859; 911201998; 101374620; 816488781; 665631462; 807052637; 514143740; 252741212; 305621260; 123191259; 593027293; 256806244; 978128865; 450506218; 217473858; 148133862; 857385816; 80227371; 333614925; 237986514; 66555395; 718029246; 929257101; 960731843; 195024002; 78777010; 27156837; 263930958; 795576591; 152669485; 889684631; 244638891; 882639335; 735806932; 11033883; 965668168; 664779084; 663144957; 939821228; 774831927; 195862315; 134770606; 386001729; 520388848; 432356118; 845307934; 45372364; 951010539; 883740350; 372678819; 664683921; 521944839; 391306128; 495706584; 122410736; 644112771; 352965300; 530056459; 895717333; 30398820; 873301074; 38023842; 142393430; 343086050; 616339272; 571334809; 289408906; 715675417; 448462735; 835320769; 600065195; 575101960; 42833064; 686249313; 779688248; 538476535; 904065507; 392193762; 147147345; 432617469; 166349766; 182705766; 250858257; 299181802; 959034232; 829440998; 758451243; 871743259; 10849845; 452580721; 61893308; 314831240; 187476990; 846325599; 455236546; 900354678; 269408184; 205083881; 430817783; 897442298; 453784565; 518856868; 992136493; 101334000; 873190966; 842794440; 400867773; 5870275; 588661789; 647339774; 198368833; 349757968; 218523480; 317276918; 747191122; 80812693; 448932261; 624440051; 555441369; 871777857; 275975199; 486710100; 184894478; 384705526; 674821004; 280145306; 380622836; 159627859; 627988039; 993095061; 291873488; 603066658; 19536019; 513529811; 366756216; 675738536; 275170660; 411885395; 783072420; 869117975; 345758753; 78848921; 391406991; 743639241; 806275253; 315789899; 555545216; 50029190; 648113469; 990213328; 824624122; 205898194; 729176262; 364827422; 125990223; 66120001; 493114454; 492924446; 976085250; 307121221; 286131962; 150916213; 857668228; 161612510; 559565295; 627754256; 523021692; 816618358; 30675506; 848101652; 892865662; 266124541; 415019035; 678471210; 382967344; 561809370; 635014401; 495741783; 395643318; 431852287; 342919530; 868841626; 78921080; 710226696; 736474807; 803945855; 498045042; 264103921; 249753894; 495180175; 818507572; 239823810; 716317451; 985980127; 823226831; 275432655; 234899543; 870663309; 291961274; 657162898; 597432744; 939756506; 172567516; 165107711; 914749612; 318224819; 821136643; 70992016; 125809735; 390877847; 827364090; 209216292; 941318369; 639694675; 104425881; 968045102; 31689536; 646918343; 326568365; 176738539; 192650295; 890113478; 89256854; 125684452; 443303487; 368970322; 245477783; 205143903; 74634896; 646143854; 2313269; 852169294; 999624965; 194020037; 258517926; 539669781; 611579159; 923623707; 326491279; 381823261; 244952588; 787701204; 756990093; 440642180; 26146631; 580141655; 746429499; 273932111; 309739984; 135288941; 921548395; 696019574; 923068893; 565289436; 5920449; 388136116; 171002567; 609108149; 241582811; 654088587; 716767179; 698877526; 114555046; 511440154; 345824280; 195657750; 80400500; 552373333; 585575265; 743185539; 966720440; 351599822; 563929045; 781918842; 83976513; 286092446; 410334549; 452153750; 687366019; 388848442; 623507801; 852834266; 949531581; 389347394; 783691325; 170384420; 783851466; 422966893; 742529629; 537249372; 616935711; 49807692; 713369949; 974385793; 834813126; 908231872; 350741531; 897258593; 136111780; 853347563; 185165477; 246499107; 950203405; 743912083; 455451075; 97756295; 306848189; 912915684; 708212232; 772775890; 240863921; 910278623; 444241; 405928325; 459886060; 702490861; 982653969; 935919093; 135561545; 19196304; 127255552; 435110386; 387326281; 506738300; 847324585; 628323197; 967475008; 82057568; 267379329; 563167247; 287977126; 11613202; 993563246; 228170723; 3711614; 319651328; 311041799; 461831748; 827941228; 951926315; 148951144; 59499195; 935991822; 998558186; 611420172; 142660744; 858160176; 410204174; 912614255; 244974856; 263087375; 791283669; 290751547; 290256008; 612636638; 14574967; 465706520; 35371889; 768776531; 114109610; 27023131; 198720726; 382283197; 681405322; 495233533; 504317482; 704287780; 265180206; 580582765; 138240277; 166318033; 653198184; 53161715; 523108395; 838164081; 205309029; 661017815; 186327553; 300528245; 474952187; 557111666; 412869369; 166301947; 20805975; 405056961; 984326663; 516814594; 416390658; 729392748; 830105295; 862393823; 621788606; 816913911; 105497473; 746538819; 285026806; 797661511; 385559853; 467829901; 870646227; 966371443; 767744801; 604633064; 176233498; 154321858; 618618471; 700729818; 969847607; 559688108; 6069540; 115779919; 109662183; 685458938; 215932132; 545641585; 750887340; 214319895; 388611284; 208218483; 999982131; 449627664; 232593753; 397664975; 832447820; 990271980; 959119301; 199131798; 860953254; 956574771; 25773477; 340952798; 290281031; 553615917; 544178837; 734243137; 907080184; 183151985; 484230941; 409862441; 808129224; 266806365; 126943207; 106532225; 909321473; 115804095; 144284677; 461509902; 822557857; 182311579; 601501455; 305693427; 546667162; 682103742; 985944518; 202447347; 250501979; 972550162; 595316537; 35104362; 102217869; 57015151; 782382350; 384962670; 166246264; 360333362; 360632586; 642827928; 347503719; 707600067; 428209044; 128313657; 829500081; 884739430; 165902203; 926591539; 128760563; 916743667; 682508992; 935821757; 447237097; 77623459; 718018189; 401286300; 50749631; 769777622; 819247412; 902311276; 822365049; 694569300; 143008467; 753957160; 669854591; 990520841; 358732310; 82830351; 76306150; 478470292; 614483473; 874270888; 614797745; 312998575; 986278631; 344102598; 284509359; 154158302; 686234744; 703432404; 987715323; 137777378; 31225042; 471454937; 861124055; 317804670; 301241975; 114382669; 275869364; 438941008; 345893624; 650238664; 497107673; 790491995; 103824822; 329367215; 528080265; 626811197; 622346995; 410841461; 242413217; 907946963; 533779989; 709946650; 993907011; 293454115; 708188369; 38302016; 857462812; 382189423; 422745415; 527266187; 560751020; 310123056; 266605567; 381652587; 871364642; 488871430; 389085493; 36291785; 525559348; 388277587; 31889009; 220485010; 721327090; 327012956; 651808614; 927451193; 392183692; 58607752; 23613589; 235424435; 340377563; 962293871; 931624124; 933914858; 571934780; 391841281; 995700919; 344630468; 149978509; 127372469; 276832381; 595843366; 131659518; 995121456; 471238989; 221462727; 706356188; 485105361; 645433543; 462250243; 339317158; 908569807; 663474848; 957897853; 237389024; 371842692; 704416310; 416578563; 832709593; 930066582; 51288805; 924215645; 422345248; 3068943; 106239383; 661595305; 16475489; 12921008; 408969709; 843240842; 691359896; 44046765; 187721156; 262012672; 246085476; 656443535; 588202743; 79503016; 150921774; 733834081; 265900360; 64601423; 133592104; 170405818; 985270691; 590777625; 684593968; 426813443; 575367758; 220901308; 772561085; 397897571; 384822983; 687763354; 282623928; 407409243; 15173252; 927797836; 72629927; 790025466; 637023786; 219575020; 628969976; 271645179; 682266456; 900699959; 69378091; 41681673; 339585563; 261099743; 724910607; 203374654; 64827993; 201085634; 833977908; 208990193; 351985728; 368863205; 217621627; 369282667; 540015136; 148027243; 234635117; 175968244; 701711659; 52917361; 268173190; 562401159; 47631761; 543877061; 110339088; 248356027; 979588027; 270475586; 664897175; 947840869; 641175256; 88020873; 15813981; 602014817; 490617635; 263512432; 51079302; 968580420; 155274822; 147684866; 277304896; 620888505; 304877134; 715973390; 764233623; 759539863; 366174595; 534907434; 851886977; 491226509; 286490658; 685119428; 917273914; 968581542; 778598134; 578403709; 815114056; 352762447; 824384865; 700384250; 111756178; 437965590; 117972775; 264516547; 389747933; 180598028; 443228745; 30354006; 802016089; 436494137; 825568300; 659106260; 408233127; 976477357; 456329418; 510968540; 248019834; 501351006; 162397500; 963292711; 61945607; 402886570; 214503111; 916931425; 378354174; 785008377; 568250709; 973455278; 277150506; 778158299; 999145362; 817793615; 686503534; 655364057; 375948474; 348623360; 61417618; 529282367; 235162711; 899204330; 449696083; 303446738; 925205970; 490479981; 838580420; 719897783; 17591268; 234719133; 178861737; 445342137; 904421055; 536104414; 656484906; 681037550; 227970722; 526412622; 449277937; 36085994; 439244001; 109821134; 994150499; 509872584; 119823672; 326963936; 52732917; 431748140; 321905514; 137809379; 645878746; 519534654; 897586530; 707315307; 23776677; 412800467; 475513538; 861054591; 942787348; 597970241; 134146543; 298454400; 886112739; 518850354; 152536848; 356487057; 392083231; 58215072; 408898878; 346874228; 500795789; 716379264; 79741940; 978178023; 243965288; 900635733; 382506510; 844085181; 268124695; 666886043; 548495813; 360254306; 47998703; 382850456; 554610249; 384569646; 27794740; 577279012; 550944737; 266734548; 801850761; 673172805; 326343749; 45856294; 786988732; 272126137; 349845080; 399011056; 747487824; 317072123; 405467994; 232942155; 483908011; 610576462; 258722770; 162344529; 708808867; 357302648; 823480786; 599123050; 179478503; 695854423; 647959013; 474585868; 568267149; 15797705; 851308527; 643738530; 169189291; 112365917; 825403954; 169657891; 816145596; 94223817; 998921609; 186490579; 689834965; 533798040; 736980973; 417861317; 65814282; 767603947; 129900067; 778296804; 917936420; 594094937; 400020488; 472540212; 431642718; 733861173; 587926658; 983615765; 625790395; 6405753; 852823918; 195734144; 925620283; 86933551; 916292888; 412415225; 838870777; 894847173; 781993892; 543869157; 172585867; 847897073; 194801793; 582377752; 1609793; 376446338; 802963627; 985009524; 866191905; 114843858; 568126239; 863709467; 378393874; 64604884; 519480530; 649266676; 964448947; 218955192; 3129725; 993762963; 370576823; 872937030; 627463598; 884820605; 911788997; 44147335; 965346069; 262207674; 919390586; 272444205; 367627476; 322344725; 512978915; 749085510; 881623431; 410050626; 720326991; 319039700; 672911448; 493339595; 138142653; 87582784; 931069442; 591296875; 351329834; 483860229; 308912961; 65038711; 182518278; 284098738; 362543550; 87699277; 37426830; 424173221; 122593672; 249305782; 53003257; 586454737; 745527100; 335483646; 396998387; 330533795; 176428988; 118896331; 710582452; 671489129; 57846998; 443640433; 923675813; 298171528; 831373905; 226399210; 591702844; 528903128; 757837089; 473443828; 816231013; 398391536; 316283100; 26385697; 518706341; 261783009; 159545207; 102441409; 420844610; 315642074; 123608202; 675484341; 963234415; 456268539; 495792823; 979018725; 731237640; 506657551; 566942489; 157008177; 259284106; 808091446; 168196143; 218060779; 346755943; 273790584; 864232653; 121874096; 204963873; 721436257; 541829714; 355999115; 839041842; 69002561; 871330038; 703316259; 899460867; 746880000; 443930531; 196428636; 943431923; 759496263; 969009680; 19940848; 853952590; 29075341; 853115720; 316810362; 273633078; 711380037; 842934275; 746814529; 726074735; 847695905; 123424555; 907086748; 340653784; 729397221; 887657472; 150518156; 762192886; 946263030; 468666973; 405780857; 300701116; 939723287; 683643266; 793762994; 496025935; 296850116; 821888180; 357667239; 519174949; 835465593; 535532581; 589542288; 157026342; 357063226; 799061860; 667083480; 863663799; 538760595; 153632530; 509838929; 835599105; 412745801; 828907032; 27545674; 932074494; 275087641; 439576775; 894662930; 658943279; 523329967; 209554010; 80558055; 402361577; 224600465; 710064427; 356502077; 630117178; 371652380; 861881399; 442633776; 61120851; 536485084; 158072531; 704828727; 649541888; 703986629; 802663209; 909471264; 160265643; 122035306; 260657388; 427004404; 569383247; 980222219; 345387609; 817561999; 224425902; 326373409; 520580041; 626185341; 252298501; 30205640; 112114095; 96744032; 522983605; 694971737; 58426113; 276967103; 808167946; 808975816; 583173934; 277497371; 561054644; 314912706; 520128355; 995192265; 776829028; 942182012; 709700489; 113328378; 594587973; 101463065; 61939557; 987707728; 868342533; 269225513; 974314092; 577343361; 433281548; 340354381; 906429776; 141160947; 752625782; 656674117; 153678124; 480068883; 482815544; 984388946; 487125484; 781614926; 81117549; 816622588; 101545424; 789973057; 507287449; 76983201; 149538976; 51809920; 729733734; 197213790; 637229128; 305041585; 883775641; 824513531; 289992210; 593015712; 197137827; 979680691; 892964752; 177206371; 117958025; 878750624; 21193918; 608595484; 828901742; 33210012; 434216237; 628480786; 802680611; 691861473; 777564316; 975260603; 806834058; 725357479; 993287975; 627974974; 528040199; 729207799; 572045275; 302450099; 574307121; 495256212; 792491683; 387195438; 396443654; 295858218; 777331467; 143294264; 264556938; 639097429; 445789422; 501192593; 153159498; 444967170; 548441918; 777624732; 821313259; 88891623; 987712510; 890816313; 422516989; 150105376; 444858090; 273700106; 11747370; 94212506; 594771269; 594707124; 593449384; 572518008; 353985124; 955414452; 209203546; 465723106; 977811415; 494478407; 887746154; 474175724; 563100928; 942512059; 305257230; 313027567; 461757553; 352811419; 64077880; 139593834; 847364679; 176525770; 353474902; 149647468; 870478878; 382862288; 728969408; 613611041; 779588692; 773141396; 283044674; 306179080; 484024241; 813700969; 471705700; 497562701; 342138707; 937403561; 311123652; 66724132; 800743653; 859116764; 843676270; 875944567; 194070815; 538764726; 16134459; 68528235; 633404970; 862972980; 581654685; 955440042; 552841500; 939025069; 805831243; 713654603; 347737651; 481188946; 873908689; 348351206; 301702917; 267986686; 638032508; 737345704; 534865941; 326161710; 747719877; 737018073; 310974831; 822380845; 336515966; 151026183; 780337178; 548748119; 73627987; 414028475; 224153933; 441721357; 717873814; 276147797; 258915886; 97729527; 978552536; 509893314; 31661604; 835184571; 320527343; 530483121; 14282598; 118022686; 991143762; 890671420; 502962225; 733794719; 461641918; 797547775; 568471497; 461902678; 182026684; 83896393; 603608244; 464431713; 612235636; 367330362; 405466187; 275723792; 387588722; 578833426; 612443884; 711609830; 751879212; 682083682; 718200942; 338269365; 215294920; 103703303; 923483392; 687221694; 57101337; 239673640; 466288023; 545061098; 557907021; 60651104; 617972156; 449078939; 618142282; 664355728; 730000640; 535089007; 928461272; 300591610; 580153917; 825521176; 767370846; 995345528; 435434380; 853267792; 356438840; 217498573; 207342346; 401350251; 208274496; 981597479; 445193278; 670514568; 714559726; 785763111; 428232625; 394283990; 472764255; 168878482; 195695330; 545627511; 14937665; 900556562; 382571818; 292370146; 158432772; 245833194; 708377545; 4428207; 158233769; 114327770; 453720450; 783010611; 440621064; 499086630; 944550675; 391888760; 965725635; 24650058; 527244752; 193259265; 901534771; 735623551; 536595756; 180000103; 965267056; 355270923; 877562169; 797085745; 554773855; 959752016; 373372613; 250328407; 988466485; 367775232; 603616214; 41295181; 20078679; 336621416; 77643804; 634047072; 351956613; 923168160; 73435134; 187619423; 729915251; 398368183; 562461257; 927345361; 536039882; 502664912; 178386305; 166987892; 252408222; 885986485; 5059778; 686810112; 327199735; 320242676; 824044145; 948701618; 364506608; 997665934; 155740110; 83873719; 318873339; 212811905; 236807453; 542356179; 491877932; 982822368; 278709608; 942974960; 356574063; 408965232; 457621974; 52554688; 585403049; 931366986; 669672410; 47864438; 395626722; 280342025; 459652589; 298145453; 374429329; 878160719; 489958641; 500355584; 124045034; 677048076; 215636566; 178833959; 599759748; 57626498; 592396355; 338420989; 761036761; 544914058; 290663841; 344430383; 773783267; 819738212; 348960205; 135247064; 524775977; 820092487; 432039675; 569608134; 393537843; 497366089; 64476465; 323134564; 130031605; 18462870; 676295051; 324020603; 360705468; 56791678; 413816196; 35028734; 820247737; 70753032; 512279751; 405821237; 426432029; 117987054; 882396610; 792061945; 738431152; 384529642; 471537789; 250500779; 730696194; 672789467; 786566712; 804421022; 297834570; 286541483; 609383454; 377366512; 641095078; 25602869; 678648724; 999160317; 624952790; 218895294; 832998484; 213597675; 981109014; 89664694; 422007755; 990935483; 978273942; 387380626; 252245742; 70293588; 827268635; 828408041; 876817035; 579279130; 92226746; 857311438; 132043424; 808186922; 409020236; 60170179; 156121724; 95112452; 695679443; 590592738; 864069279; 531408081; 257167651; 643892992; 340556485; 678811397; 951607611; 811538058; 23732209; 74223644; 332418840; 479067586; 898886617; 485966866; 609418612; 942861682; 811899138; 935630154; 869102143; 649608730; 308429633; 797830483; 604871566; 227469251; 266591981; 682948507; 731647422; 156485296; 910838158; 974392654; 192930099; 320837702; 136978344; 155520202; 161054255; 817091988; 368147310; 768045830; 652539036; 253927335; 100738957; 56953418; 362575098; 37700042; 658350809; 257647244; 443122291; 378365594; 566458467; 539911913; 838267214; 221787561; 490117007; 704147468; 388864643; 722072017; 395232103; 27118076; 137049222; 402631763; 88776301; 692660182; 89902633; 935865892; 444139243; 55438404; 185643914; 111614362; 295232961; 467915126; 719866986; 907053448; 394472097; 552523438; 952449051; 983340722; 643457566; 889232252; 246407159; 469955525; 49772188; 480219879; 742304669; 776488764; 538985411; 956316982; 877794038; 446132342; 713903930; 33664499; 968608997; 571494274; 363642119; 598279810; 974497150; 936227417; 528828052; 625705029; 13570105; 764478132; 451628070; 368993938; 206341221; 640848858; 869384070; 8417876; 830838851; 210555593; 413974866; 391811094; 709204222; 588628993; 861227918; 313127737; 569198441; 323785964; 301065880; 701929844; 290232744; 182205042; 28974837; 219616934; 242733682; 688121141; 751149453; 949334341; 755823040; 308710298; 128361709; 458677189; 461459692; 212761364; 35467879; 72944143; 207556157; 968622277; 669509521; 239502366; 962590003; 334207434; 784642451; 4109455; 317741316; 998141182; 661359310; 498675645; 19755168; 651130992; 225800952; 452753633; 154725218; 64920166; 338033430; 931559326; 779427466; 268795033; 410706552; 938663646; 525382061; 742541224; 303214108; 761258156; 639272546; 636105991; 732584240; 902497796; 885537942; 417833537; 5851744; 653968976; 967650457; 461498684; 174409034; 399796865; 739326519; 665329727; 493587186; 681811587; 17224243; 21223856; 708523865; 762951960; 317051640; 126552626; 174630180; 638543773; 786640932; 372267071; 953442629; 125472930; 312985014; 536765866; 934276619; 464980113; 90161528; 267167609; 186123959; 325986714; 473280829; 405384688; 2442789; 582632637; 387963461; 128287828; 32639181; 917922938; 543153830; 922558363; 67018370; 837225839; 195229937; 56238945; 255869909; 773598180; 805818231; 734585654; 472123716; 622236759; 739480571; 377296096; 293090566; 392463909; 644517261; 849931749; 924326660; 959550464; 651228013; 776663308; 664605959; 142367692; 818801260; 395824616; 139593472; 536780660; 531400903; 628984907; 539279725; 21385419; 379107316; 536894148; 604272774; 92524053; 729999567; 800819072; 881707523; 51642502; 307695359; 999260576; 798000683; 181226543; 140860022; 487392510; 72218192; 646817894; 710619467; 902150735; 103270906; 796534161; 976500066; 789009779; 230469178; 779657914; 260781576; 60398603; 856247980; 99630394; 12108748; 583079228; 764575806; 653141463; 636451587; 759367608; 322675751; 338289022; 795341712; 664784742; 401170379; 988285352; 270316285; 683673543; 729543107; 883518685; 320516478; 635851664; 395496384; 840915559; 94011541; 935137028; 830156603; 686937946; 621497798; 507318485; 925061797; 239819169; 429912602; 124842310; 802735720; 1729697; 173868093; 639056145; 689719650; 599069285; 173122950; 745560123; 449182731; 171126656; 56583022; 20365731; 523161310; 206190353; 898119337; 17475565; 439055109; 130011694; 238788848; 804209188; 920317243; 333702747; 699267056; 755972765; 402311988; 88577603; 627565459; 782366459; 267824975; 907995242; 865371324; 3129538; 335619750; 720251401; 170588951; 886033227; 699197565; 930265594; 705540429; 235994815; 243521613; 498361171; 341674566; 71211896; 191847674; 234587428; 592084407; 380137030; 448586252; 293720670; 369902633; 560196654; 913923242; 635064285; 813163793; 286705699; 141222943; 802551766; 592541466; 850138134; 23949938; 447509616; 963669331; 19860305; 965005323; 255454121; 714418737; 666048457; 691630944; 470426733; 328361249; 152909713; 278654647; 531403957; 42242495; 662451098; 285188447; 485499333; 195797838; 230814982; 901614650; 981959542; 235323892; 292632990; 963902839; 631210721; 939578841; 740805914; 714326562; 526256009; 633668377; 546748886; 929513111; 194500454; 157765335; 316138015; 532606572; 141365351; 659709709; 390784716; 430914383; 447981479; 544587698; 880511917; 17630480; 192515646; 952208638; 55129882; 254497613; 98473120; 326969117; 410371952; 573265637; 892814804; 889307814; 379916124; 166996816; 500790050; 694619558; 180865399; 327573452; 469093104; 291718830; 683801648; 764982473; 285162760; 238965693; 730012811; 136504334; 78170351; 738645973; 35721794; 531768227; 546306579; 268126822; 539063128; 368181146; 552350303; 356767658; 862822558; 236825035; 245901062; 950005620; 14272786; 200207543; 745789251; 590823229; 438748045; 899250165; 328806623; 859796185; 942471112; 176076458; 674765215; 19539085; 76532989; 521279274; 99198139; 143062465; 66948799; 839478317; 333850025; 778398179; 361047842; 372121859; 721311553; 888749003; 986162915; 510455078; 613948132; 362966672; 786569819; 729674678; 479113208; 719500671; 843560278; 842029480; 752593896; 57119722; 50734047; 784841271; 83112053; 346682949; 935680565; 41562189; 115571888; 59491888; 168662982; 654072449; 511994066; 116660306; 850692134; 679470741; 992210947; 657378163; 742672450; 278336229; 677121144; 908414218; 630648354; 968696043; 113110274; 835065915; 969456603; 28072703; 713010007; 660059669; 372795845; 251497008; 897055738; 758305605; 718445758; 543340135; 185972592; 982501156; 802656158; 700424345; 46908401; 227393848; 375444774; 310992686; 996382757; 669044641; 573386550; 896005558; 238874829; 556826250; 503158441; 730369368; 888722919; 239165838; 414191492; 803754171; 443964965; 115113672; 949019574; 236823349; 819541128; 928147781; 246055766; 741493104; 747100188; 170821001; 454988125; 757065924; 820810995; 953309630; 289371300; 984475870; 885086103; 702663197; 414942882; 589460940; 205973394; 662525664; 30437093; 394071667; 779120928; 846053967; 540181623; 469937197; 746094437; 774799598; 951774328; 440493853; 733152648; 513855226; 542253873; 494028959; 787970505; 598676294; 548897609; 78903400; 829208183; 244412972; 171023288; 420952831; 765095522; 634272689; 548952917; 646270899; 133901598; 793626108; 51793302; 29779102; 252161636; 228356130; 865244004; 826238101; 153431864; 518325333; 918119949; 888195203; 941074053; 924212342; 254961087; 796019736; 970305177; 115678514; 464344689; 487691067; 207255571; 165272427; 617465197; 415124320; 424431245; 697698512; 899733962; 3979885; 734265526; 381512308; 194822081; 296395107; 746761812; 376461751; 767196768; 900682671; 954010667; 309664387; 536650624; 109884722; 212340879; 188792233; 615078929; 141934992; 708794412; 804374719; 123947989; 701689831; 527403824; 405711996; 195292771; 121802953; 593658881; 417430339; 473481859; 760742509; 175371718; 988287313; 886190826; 900766972; 321987960; 420719472; 657248979; 554338386; 914524338; 556644170; 687575951; 762458092; 445566847; 646254269; 257840641; 179264137; 995142802; 802086362; 576229512; 482541705; 205745820; 902985362; 349822933; 27464766; 545731439; 659547241; 811574564; 632142380; 318169391; 97024412; 207961425; 603093340; 308011588; 687673887; 881287051; 733881551; 580304198; 177428038; 417609178; 741000905; 996273996; 475629284; 584732100; 98819287; 306839484; 570984312; 598579955; 660955940; 381914220; 819199284; 626093526; 534361636; 784838936; 636905183; 585492871; 131433179; 428312739; 651982950; 560710293; 783992636; 991802116; 901325956; 305805360; 251205002; 515496459; 862190542; 171474791; 304248990; 700485000; 200606709; 784869043; 541992052; 582551198; 157123878; 781731331; 388293750; 412782038; 385549998; 376228983; 551846128; 231482179; 530153971; 344277548; 793490234; 520755418; 330533344; 356678361; 215307584; 306605571; 459400413; 383441568; 964644560; 689204216; 979534710; 694883277; 965821147; 882275955; 615628262; 107916253; 391497593; 9029457; 660483627; 679689666; 32354205; 94349732; 758622883; 749286009; 325103582; 319022032; 549019161; 906720308; 575212719; 11280971; 974294009; 62535786; 270142806; 179058980; 960322226; 182612352; 261406643; 982717996; 598346227; 961288636; 920230032; 464778886; 867104876; 715286265; 364934480; 487042644; 496387487; 273612604; 203436576; 43098925; 394138281; 740504995; 608945865; 679904145; 153892287; 522703485; 482968943; 44809067; 127926427; 417952047; 899153797; 751472330; 486643482; 296376856; 941520378; 985439073; 703980778; 449600305; 603014422; 845585679; 265916130; 331490323; 270119943; 75121069; 569820853; 861745936; 663432421; 190819602; 942622055; 736977845; 499820068; 611036901; 711984913; 786180879; 350744649; 889572168; 144795605; 390878343; 277311681; 103720044; 402629173; 266116318; 447735225; 537889768; 780078962; 507263575; 194091628; 285234818; 946340962; 113301419; 637414582; 858892215; 605660492; 680113019; 621432269; 411072448; 743652931; 240039860; 981928607; 239586485; 322251677; 598177901; 325964389; 398078498; 411878298; 816377536; 879026140; 649252204; 412540602; 247076479; 894214702; 196325404; 370576798; 700774592; 489638773; 807960496; 773216246; 380095825; 918679592; 492368130; 188468508; 555527322; 458864951; 218175635; 743714974; 862842146; 429017336; 279679773; 501343645; 441986467; 903321921; 55179465; 741122043; 321524860; 39469002; 752583443; 255270804; 931082886; 167514543; 469501974; 831368157; 997857475; 691564117; 642213397; 629622913; 220837497; 610358152; 958159760; 850511113; 677662577; 879942913; 255658527; 139532984; 798420669; 924401063; 668918235; 723217074; 252383548; 6673831; 712236308; 503426254; 229867529; 545756299; 203804140; 149791956; 558286977; 798782293; 97567502; 978564211; 326091304; 363288125; 43482112; 957510168; 95679015; 564065146; 328794173; 472338718; 560282895; 618874742; 800340987; 437908685; 366652048; 563917046; 688973070; 676115523; 452810144; 321677750; 579155289; 670483367; 227916689; 637820078; 829978986; 246344704; 345223314; 914555104; 634747171; 831697677; 650456685; 891846250; 530995014; 499124977; 245264558; 307826710; 643091678; 998086563; 680964793; 547153061; 805882457; 665143592; 143530140; 632524070; 152514254; 398304176; 72650651; 273581399; 615205844; 491504052; 301936896; 301985817; 381780544; 271614315; 798823072; 482666467; 270289148; 774696900; 640068783; 373151502; 964093129; 764029570; 600791217; 327105083; 586721014; 736565627; 977060998; 646607249; 196457366; 218616532; 34967473; 412135164; 340695486; 563101252; 185073377; 976019444; 548274596; 311687507; 305768053; 540472840; 501891911; 614999659; 785907891; 483195987; 103069815; 371862288; 607342500; 289857346; 97731085; 633826744; 430635605; 669934483; 870011241; 697766946; 804605383; 834595582; 86282460; 835202211; 115832469; 222698650; 86847157; 351911942; 594236547; 875293882; 38673256; 383363764; 953522812; 124664193; 162866332; 225590596; 620962003; 928174993; 681513907; 970111983; 582061051; 979686355; 384865854; 454809486; 871481082; 193162923; 666837951; 871116344; 630373326; 897295235; 42620851; 831202886; 962032380; 192626465; 538247075; 128819974; 931570693; 88909646; 904935165; 640647603; 230229059; 614639897; 430247420; 923375597; 840057971; 333292990; 162345315; 951870967; 305684979; 896380867; 358124531; 420176211; 169581374; 865209279; 310613339; 946958266; 728397752; 533810552; 744757210; 532936875; 848678862; 578784974; 487552485; 412044578; 691678155; 415881600; 797270150; 622375844; 219902901; 504251965; 154390411; 208077071; 542408049; 429731458; 921766567; 235783823; 909923268; 353817604; 643492915; 950474199; 320153945; 472230699; 192422216; 921471720; 523841352; 504773272; 839209353; 983935429; 470137805; 137055291; 526452230; 931956992; 862505089; 140873535; 231754514; 398093753; 655554302; 738967249; 894677799; 777043008; 808513542; 436115965; 899445577; 812636492; 514049413; 449311849; 470700296; 177276212; 306649411; 714806793; 652921286; 383553817; 145324776; 480388301; 899982764; 114880376; 985398376; 393184494; 94602249; 764166191; 992088079; 937928657; 994831160; 911214364; 814915382; 149323257; 59276107; 367983490; 942730567; 225958578; 181072723; 902091773; 791276341; 43001654; 529116146; 501812291; 486072657; 655869411; 211437458; 566784889; 571082261; 691681829; 674921493; 336615848; 999615778; 985970902; 733512902; 770431106; 394183496; 782241879; 838971841; 469332774; 463673626; 576105107; 253333626; 836074580; 336213675; 23806137; 704665430; 255236481; 647811926; 705183733; 542096975; 122149066; 443680675; 821867819; 267147373; 871464469; 910586399; 263621266; 447322422; 492780857; 345296599; 738051177; 489460014; 949235438; 567741578; 748469729; 99034078; 613594474; 435295578; 613516580; 644271997; 732548457; 20548156; 817605713; 625347009; 294639829; 938691721; 420854372; 200494490; 431716587; 186354312; 402860548; 420360958; 957332725; 222795859; 317442170; 302901822; 39296985; 729493432; 831320067; 488236640; 967185818; 975529763; 601312450; 994907778; 909208557; 659924122; 522286840; 346888176; 585613906; 800544180; 81783355; 807739560; 272075584; 996924212; 999562263; 56549727; 281460756; 766076671; 320752584; 991050311; 461767360; 262124853; 447469490; 906951946; 211700529; 387753327; 720025191; 546584665; 410833694; 354503912; 486358245; 121170792; 962422074; 611749844; 249004017; 617238107; 671470407; 357809670; 818587256; 789091930; 89042670; 42348708; 901713486; 229683267; 847697958; 905677129; 823204548; 414566596; 770208465; 434680123; 689745649; 980559951; 989194916; 44482386; 10072216; 1876236; 12926208; 315972978; 896673949; 419659177; 509594898; 756756022; 481360692; 278529682; 297688650; 897251121; 877118880; 535715338; 985297603; 309943621; 450682681; 813210698; 18667641; 69407381; 531174463; 670827214; 604060516; 985797527; 678452097; 601710151; 716889037; 643429900; 244411962; 137431665; 730228911; 510592494; 673110625; 941164368; 565960456; 12041488; 945929971; 286010059; 540117814; 786727687; 279367435; 484235407; 310080102; 880947352; 108524130; 301389874; 88018721; 814233558; 793015391; 152355414; 207178444; 437907115; 535993381; 909309652; 816244140; 705983374; 146526548; 749329537; 258128717; 137471209; 32195544; 817073072; 441292564; 531219489; 921784089; 563324200; 637153828; 53554588; 956591090; 750916313; 143249087; 653996009; 781300326; 580953060; 166612221; 988245441; 333201871; 903238346; 183120945; 444264076; 355344220; 803992898; 494346377; 84031416; 414196592; 449279932; 652235740; 211450786; 111850320; 564382767; 521583718; 339558136; 4216530; 409469668; 577752902; 954672617; 569509660; 17285165; 10903163; 830077833; 638121187; 745488910; 928050827; 244078465; 877418291; 803126650; 718623475; 112744617; 500850820; 794052108; 446362045; 623542259; 150886374; 729763252; 877974434; 183060596; 940694168; 906525190; 80722024; 646611494; 856707670; 669793843; 297105856; 911539436; 968527777; 683491913; 316019825; 286471034; 455683029; 193897826; 932827636; 252854050; 435552121; 84226789; 533741047; 192481530; 50399850; 11624682; 963401273; 807187590; 552929750; 790869438; 671199226; 731477809; 159084017; 710823486; 540036907; 105336736; 800023279; 625265725; 511711973; 1102488; 649745982; 43720471; 560481743; 268798099; 23166152; 589901811; 15473993; 673286759; 989931288; 789553782; 855262265; 332277602; 875090158; 296434727; 850410259; 782959957; 996933907; 531574885; 896307326; 135233308; 220956133; 997739626; 616557782; 472127963; 624165502; 491716442; 797531014; 359705318; 567002848; 501919197; 641823953; 363921033; 426117102; 113485203; 52204937; 583042669; 175872172; 254013967; 411983187; 311366764; 38377174; 641446278; 565141599; 135119152; 896514940; 798613178; 859006414; 282578710; 600808458; 76489896; 188836570; 479043421; 162534015; 337370355; 714861939; 322142079; 455989086; 326344376; 139792322; 948960491; 485502046; 211060251; 313817110; 726571596; 691406393; 349705923; 965909385; 116583862; 902734263; 579194323; 80448990; 703994858; 675219185; 762861603; 844117929; 919573445; 733552650; 268991866; 313102387; 227471219; 908503247; 933671759; 440163456; 526625190; 474188372; 125305430; 903909878; 6649952; 713757799; 345266165; 61647477; 582907349; 831055320; 581806417; 338032190; 168333603; 738985555; 780711105; 902946188; 283667672; 157092601; 385128392; 991684410; 216086222; 251394536; 700537247; 312894834; 788263053; 676376542; 716435853; 633646839; 520748471; 931546857; 6141580; 402980246; 481961422; 525248735; 912743020; 430811796; 347561404; 614296042; 646204201; 582988885; 743517091; 134501340; 903123432; 226577528; 658702364; 163047848; 93304710; 468046644; 94627669; 854525972; 241744676; 679150782; 250859640; 12067377; 448586520; 813630714; 608134046; 795613742; 240621719; 476907678; 842226628; 812551963; 233025317; 206424133; 750112557; 939037553; 498447110; 794567927; 208445971; 152620600; 4191693; 313682925; 603313259; 139815883; 883074304; 504582331; 684912556; 568110614; 800999791; 146361373; 168838824; 712956285; 194203785; 39720313; 26582715; 430908956; 388488644; 366721780; 486258045; 415040526; 658546352; 221651997; 199572939; 601075301; 992280017; 916618535; 973436190; 99067514; 526023013; 754697881; 365902454; 129768790; 575996782; 617719632; 780571723; 868856595; 536146785; 371217388; 307163006; 793405940; 755180542; 944141438; 494840545; 589341553; 616047103; 67467537; 655609308; 712592568; 558725398; 358761422; 918260011; 840619383; 547199598; 784276270; 864059457; 645723629; 369324790; 451912972; 85497856; 205128002; 100476368; 809534303; 529790089; 680074835; 154193031; 203570645; 902722736; 185646008; 152318865; 995907602; 835014239; 348826482; 289773143; 601338395; 529258960; 184423589; 869921518; 328747025; 74772488; 713545013; 486924060; 780210602; 383887955; 113153072; 973437945; 646782502; 410843039; 264585006; 530679810; 815868544; 192608559; 838327322; 149364836; 299275137; 118009157; 166823843; 452925384; 606184611; 623542727; 801434546; 141119934; 701730570; 985329385; 727595924; 44363648; 621538446; 474672651; 318610341; 150236847; 973646155; 431586086; 299043116; 246354524; 185742668; 770040294; 367782160; 320564786; 814543874; 796019999; 918605829; 363844322; 843668554; 224597959; 662046040; 7470391; 792346682; 728393240; 210640179; 963471392; 690674632; 871392618; 681859702; 504456696; 548057026; 897243490; 943009073; 541107552; 436897666; 451776479; 648539580; 420802727; 607132608; 457352297; 892291421; 679521994; 506666830; 981051652; 854886942; 219925035; 73088205; 912609785; 449996427; 236959748; 925877036; 753578714; 445128538; 460518651; 397081320; 933250661; 818512958; 223136239; 530836886; 137699630; 253701693; 774870726; 468942556; 881940685; 760364767; 887162358; 906946134; 121909913; 862071112; 868349776; 800093873; 796346939; 428485305; 406085237; 939547589; 360189478; 710106558; 708859361; 381915696; 830199936; 912263133; 314729984; 176310145; 383096287; 620797326; 180753340; 408657889; 822689497; 244127059; 421836576; 684207483; 481023763; 715354240; 356657331; 636325439; 108038870; 528861049; 766633322; 134621708; 586474522; 920916478; 64467511; 655971433; 675434749; 606583417; 594902966; 694887943; 544871557; 205559012; 10644127; 614733962; 823084081; 872496030; 430841590; 984997365; 764956340; 126162875; 986465626; 666535361; 816326930; 201482769; 650859439; 978684192; 371135591; 751554934; 299779581; 809700107; 796266075; 801689412; 652092380; 650535037; 483674233; 207261648; 423336008; 985025487; 706052647; 911692752; 78429952; 338366830; 860549513; 32744794; 878901920; 556381842; 527338078; 333955603; 206142212; 581605796; 743453178; 30038344; 272114661; 106570188; 328128734; 517848446; 755064292; 428223415; 4765392; 896951277; 98858983; 117765450; 329010168; 522590660; 337704245; 780904560; 303607458; 646553137; 649637174; 23055776; 390501556; 116753412; 382540458; 520762439; 265114649; 12316716; 887011575; 273054026; 920031300; 525647637; 922113464; 742547673; 230181150; 309005449; 295108096; 422642957; 658429068; 430551297; 355590285; 994920080; 519134832; 997238983; 653153425; 830979648; 744821097; 254305502; 66327595; 771606400; 632361926; 948170520; 882642156; 213363997; 533889186; 47624813; 883757861; 519796513; 127438503; 930080988; 96578747; 842973683; 155326116; 238611455; 289324931; 650270235; 275685084; 904590931; 882683993; 636175886; 571509842; 466444673; 427855773; 847211993; 366276380; 897172936; 175649775; 166640004; 698487903; 904519633; 712952916; 157033825; 736981864; 388328772; 119618470; 791072676; 642879340; 98134756; 457054610; 934074677; 619357350; 781155571; 756267639; 700178439; 470591204; 133803060; 869900319; 943370486; 400299595; 515645301; 848632632; 105542902; 687131701; 67445378; 52983265; 699459632; 657577783; 609098046; 999895748; 443735751; 666781907; 687906333; 61903826; 375415805; 772027376; 17320594; 117944693; 780236860; 576044577; 482384512; 208701323; 756782480; 672052283; 646234285; 336429985; 868803575; 216904612; 338761092; 347670003; 646170566; 499855316; 168922745; 163364880; 289506466; 261185918; 892080408; 912375692; 937436969; 180531187; 469589512; 323140719; 345189286; 797800309; 534057537; 639672598; 109643603; 577810266; 71547236; 130007223; 982304417; 234441019; 651790644; 34717666; 174491682; 490399777; 29515787; 387044068; 968277679; 327731141; 544132199; 172724471; 482444842; 995260581; 846017654; 484816769; 494657117; 742165162; 955391639; 993701892; 747245356; 981398460; 316853419; 282477237; 271245385; 564497599; 306152648; 428630198; 357829377; 864851903; 830891378; 518108542; 916688665; 446319060; 979631890; 897549993; 343781351; 584415696; 570626055; 410465747; 862405264; 637070170; 697750135; 988243966; 879755885; 117936898; 730715676; 585343999; 615737641; 651505725; 64812626; 342617416; 625390245; 786665076; 76599369; 137591643; 640527855; 151276807; 82877723; 402537373; 849465552; 190364861; 71248406; 156074777; 272116623; 233229000; 654858485; 915360762; 867390005; 83821230; 240345358; 97328507; 551565175; 799640544; 518258040; 174293115; 774229775; 795003215; 668450821; 738453621; 337895098; 982134160; 421154505; 970220939; 77830142; 126119314; 760065544; 451130247; 180251354; 828429471; 505277421; 695952325; 247813824; 55952036; 107011039; 390136916; 132025427; 50638886; 601982997; 311499825; 606221296; 767186474; 499754051; 266866177; 174914203; 197129670; 806230840; 361717617; 887205626; 991422349; 624597401; 488927321; 224992417; 551222570; 810974434; 146860590; 608399760; 162962958; 769278087; 301032470; 190065526; 532344524; 187996919; 437179967; 489449000; 765363278; 808426610; 388508289; 407458730; 157310379; 275229388; 943603696; 961757735; 500155350; 362823283; 80509141; 745358538; 334048707; 986674667; 481653514; 720088066; 794767352; 570164911; 670388047; 293523859; 811905565; 167607800; 662589301; 275029508; 724623591; 130518543; 597926138; 356135704; 256538779; 157993304; 482281190; 250016918; 37252878; 855741536; 621085920; 529320168; 548929905; 515069835; 81568554; 286845984; 795203796; 442156456; 294853036; 116011853; 881676509; 510644087; 257196626; 678452186; 824063243; 506178954; 319619580; 342136843; 815378008; 582173040; 191895289; 181483612; 494444333; 647702176; 239765168; 737953276; 705202469; 802685435; 699502734; 105696703; 395977294; 303255753; 307151628; 989172048; 457689886; 956565142; 890839300; 648178330; 297906636; 665050899; 422189880; 510140791; 25169979; 22086542; 597555734; 690488585; 723328802; 127160205; 739788036; 54062713; 501879612; 33377388; 851948736; 138458204; 706748313; 518390351; 179326422; 640005648; 391285626; 835424489; 893454682; 316875620; 448521294; 48487466; 936172792; 258348270; 257200825; 897799140; 331421345; 681180025; 36233726; 595782953; 190154382; 873903714; 579805099; 803591905; 988526337; 200603205; 207985480; 213076704; 450061271; 516833659; 245938435; 318244649; 830152852; 337878206; 770247061; 591499562; 741869341; 998031507; 29757644; 69481142; 853193126; 152486965; 31385676; 57102545; 726713246; 400023977; 366741112; 465624259; 554628581; 346586740; 725216711; 40823318; 407014742; 365693399; 92065192; 456929731; 495368501; 719165837; 754941306; 555183089; 370718721; 477057718; 555638946; 870661501; 222295668; 621130725; 349007763; 908887530; 298861753; 274642104; 135296703; 525698820; 664045039; 798839003; 488481387; 718556807; 102515726; 820907145; 98239695; 252814421; 807509093; 484890912; 385028023; 498242295; 680728154; 673358634; 575190108; 69900760; 248299124; 867819168; 768624893; 272926716; 774025317; 741731942; 498638567; 899609622; 543383746; 39398391; 991746406; 266943739; 6249874; 525742344; 432816904; 437586062; 177430192; 353951612; 793415326; 485966776; 451262695; 822900058; 974473111; 985770767; 35256174; 608175228; 111012505; 626963382; 859255086; 667074611; 476081105; 25005585; 656677104; 943447938; 310999786; 662302678; 307871379; 496092397; 703687193; 261853127; 920945583; 583453699; 353315955; 93449561; 400856294; 497448462; 419527384; 503165916; 570402054; 770442242; 888394804; 24018167; 384989422; 526396764; 267828414; 892667165; 852979539; 921126340; 388109862; 302632821; 67218402; 520183305; 631865; 42473583; 875811567; 587678118; 995824694; 307403913; 477413003; 43637045; 643086566; 934508781; 194434863; 278519238; 65697684; 734699017; 74345095; 647440944; 487324053; 471288259; 404305515; 725484860; 501593144; 473402617; 875357233; 927703205; 378525897; 460643399; 995457954; 983732107; 110351933; 382207218; 776842911; 436892789; 776478026; 317492757; 709901514; 293404794; 408349571; 698847777; 554047371; 171083783; 492991451; 996610847; 762323685; 113510329; 30397663; 838880002; 431091943; 762375964; 172607798; 457232270; 677099064; 45278460; 343643509; 282625258; 536386012; 623572129; 343557864; 207070604; 861780848; 330391583; 511833104; 965356500; 587941588; 337025890; 993047653; 893757507; 672069728; 775613381; 598565832; 326239915; 105977085; 730819118; 578500584; 398057537; 694244654; 196234371; 683922872; 102803749; 975923839; 494999817; 796753065; 863892375; 178765463; 595478050; 245851555; 144123548; 486316682; 72750528; 971034115; 791098315; 625161960; 981414822; 547863718; 809825678; 619238372; 518295366; 771946608; 781731531; 421288664; 810681132; 327301511; 68400981; 961865539; 303987364; 812935869; 629615935; 992087106; 384044584; 764838825; 422725808; 753265590; 631445652; 462290739; 506992702; 472954955; 166943075; 455996332; 330052972; 183166519; 767450388; 151919399; 777694151; 115624868; 693126730; 412742918; 276339699; 909723994; 394123835; 985644098; 231096412; 455939495; 740444731; 48714941; 77890466; 829855699; 418294928; 664555361; 206530268; 828001660; 874766053; 173358247; 87577803; 592437381; 710160379; 960044147; 913323848; 701377318; 46124061; 54918782; 420168371; 332471514; 985092099; 823399348; 148399866; 307383818; 16213463; 504372371; 873625182; 491035599; 355905572; 604229139; 223841323; 832213544; 809051856; 576426116; 246562658; 303648726; 475713113; 608345795; 713411653; 888314094; 791340526; 957322683; 26686115; 51274608; 739073967; 467320292; 212273973; 27844327; 312936692; 250128509; 958172002; 939444925; 24829943; 789897700; 507218351; 990421421; 345219169; 458579551; 999240212; 62418172; 302875064; 602065114; 489975482; 878639391; 300376549; 934341092; 398829507; 555651244; 569867008; 67830210; 116511934; 976691791; 211950031; 749615015; 206366932; 439818204; 489308365; 676442434; 212643114; 415783683; 246774938; 670542717; 18229470; 770718221; 575125493; 927650943; 945829304; 705015784; 518411848; 830943364; 456938958; 159519816; 884411123; 994404654; 880211885; 965379788; 268527564; 801818286; 463878275; 346570963; 296150583; 533421253; 519799584; 261107120; 783578107; 75750668; 323045039; 842065704; 553132250; 934115055; 172493117; 538664758; 512418833; 762587782; 911160168; 923967341; 248955833; 470174105; 647715169; 414552925; 995787501; 176515683; 322124607; 494349245; 404491574; 17216156; 889146321; 719918986; 244003005; 69526277; 695234226; 891023596; 585643813; 100434614; 608979324; 139781049; 917796181; 551474055; 874197933; 516895152; 816721310; 358740415; 492566391; 902326068; 249923216; 467968550; 653410255; 70654445; 380836438; 233868101; 466952143; 38058659; 143801568; 445048836; 350920626; 484240715; 952709258; 762473188; 218610389; 261956298; 21050248; 418963634; 415553761; 496409839; 527711721; 674519839; 843545729; 409402862; 77673808; 979049110; 918664627; 560700313; 629109723; 233956118; 901021113; 159067317; 89409801; 32571748; 129959394; 361073304; 417040468; 950492025; 207292303; 790947402; 572854057; 465102550; 355581225; 947651879; 890480655; 658086407; 568202192; 633151036; 904720416; 160157293; 648138244; 382366937; 16670061; 590902725; 628488936; 615628483; 710398817; 316899145; 820020039; 878797957; 579239004; 68407657; 257158384; 687972923; 368350212; 183696140; 65715779; 243837687; 417290533; 839661178; 808931610; 711708609; 960681546; 927390508; 322942423; 111333242; 482124557; 241502646; 353908716; 46258546; 179195093; 802890799; 485078041; 182647679; 519492079; 489804609; 595355196; 677020555; 976007475; 136361609; 123681008; 386329250; 996829780; 718018578; 827574023; 766047874; 552808213; 151079121; 671571059; 701964781; 611817126; 782061936; 418257922; 65065911; 203739513; 498954865; 514866542; 240946480; 700023022; 72041340; 612723580; 585572021; 398615193; 645978474; 533267271; 957736093; 303625272; 16044192; 334142717; 593750782; 725026017; 709596173; 445444613; 39014455; 551926971; 438923583; 252232395; 652149870; 171242181; 662343698; 829821118; 620437081; 863574996; 553581994; 655462169; 793786933; 966681584; 279613643; 436537708; 758154659; 233406500; 172493877; 174761113; 652961074; 720739691; 698553783; 747641610; 88165354; 929433707; 63511742; 173769838; 849646351; 837219068; 838766033; 115908575; 821430693; 719797024; 86977358; 883285888; 381497789; 281148014; 466806421; 346048288; 487431479; 754295499; 343779927; 883719395; 136352912; 374892514; 577691385; 443382753; 513771230; 201295366; 129400269; 589116209; 365044718; 875909379; 867537118; 230125326; 224437041; 594977356; 544791242; 9309556; 2403225; 67329345; 113974143; 642521759; 531456406; 547053106; 916954886; 762993534; 25827077; 501109909; 378502384; 209059283; 523060594; 666768822; 237304759; 702984439; 731413650; 799665299; 853614503; 393660400; 180808946; 731750044; 836567176; 136492363; 397960194; 825719167; 531226240; 65845448; 911491861; 521893743; 465942080; 104309263; 921015595; 466323383; 680318523; 145693972; 660226238; 2002506; 389946126; 621208232; 541499088; 29130143; 957437004; 91616250; 995991480; 292507020; 518811718; 645439120; 642088395; 56278298; 45014158; 732864960; 243021652; 785767518; 595740221; 447430378; 442037466; 252310817; 126463849; 166078043; 920439658; 692501619; 967062902; 109703786; 159358652; 292888350; 286946163; 794465073; 953896184; 488696367; 694447833; 514077884; 623698384; 889122540; 988330414; 719823643; 43099113; 783347634; 671180022; 227811921; 34734668; 831445387; 172104314; 718903769; 726053943; 430235276; 612957612; 536751428; 420009525; 140318079; 599216181; 510389499; 798001035; 176714560; 983429806; 4677472; 817201122; 887199114; 229220400; 109743706; 807522285; 796087868; 669220175; 601686973; 81102324; 602514165; 73663214; 752319520; 662264236; 659862950; 637704911; 754783782; 92575578; 987404276; 949971578; 835385227; 931470303; 880576948; 618263818; 296196519; 113105588; 767714964; 2278594; 353673830; 305173248; 711802783; 277857267; 336268075; 580185159; 904664696; 229692712; 398114547; 945075489; 800710525; 170378046; 785456337; 564328581; 994896889; 667945259; 81001836; 349635475; 700002131; 546577256; 523288510; 178830909; 240298462; 84919439; 223369076; 224624250; 177534472; 717814797; 377129908; 181061434; 450944266; 932216735; 148782910; 584803947; 354754710; 737323285; 354999978; 158087133; 403063225; 962796625; 194293808; 918848289; 402965168; 667782082; 112424708; 670411841; 294868685; 801715899; 932495574; 408765928; 591638641; 822866402; 68263756; 220210485; 638843804; 597246151; 366206532; 253487013; 321148092; 629169193; 802954307; 840715490; 170104554; 177789020; 203018664; 758495139; 838387061; 681785218; 651264158; 358689434; 250791885; 810478601; 721794311; 344711552; 372846269; 423598305; 150952440; 84748862; 646502257; 863921611; 644845902; 277811761; 521487702; 364861491; 95604818; 455611392; 724318205; 650255808; 153628075; 327581629; 477706750; 750700531; 351309982; 244853671; 600837550; 404174399; 549152188; 574079186; 709846238; 623164232; 259257009; 162263739; 810210546; 918124580; 144571337; 56788400; 147905858; 545729866; 201411566; 599456185; 471622779; 919007752; 241080123; 682835498; 983937044; 446435730; 945906122; 589737193; 745709079; 512476683; 963627819; 221027097; 350768254; 375727501; 647316329; 18683035; 349547850; 286667764; 16293965; 446083949; 981094735; 870927667; 868739110; 976661508; 65175929; 472726220; 578139078; 815300038; 394781459; 333888493; 471377795; 58901649; 735836776; 408504573; 148214577; 881363648; 464661601; 534174692; 380691076; 895416727; 602877364; 866918970; 566691272; 576641452; 482543394; 460418436; 386704507; 816884897; 983259294; 117135735; 677645174; 234213350; 816419238; 943285126; 438214421; 423243125; 27865639; 757982447; 991362237; 592722701; 805752136; 935959959; 342668517; 317421329; 128037771; 840852495; 889166971; 748591259; 760492811; 496882038; 878296790; 849442641; 850883852; 65236171; 309272990; 583222921; 465397108; 285670366; 304452688; 557657084; 880389805; 38641105; 154228269; 856397665; 316154076; 687898914; 979320295; 638298592; 459222319; 752088173; 922102754; 114176958; 307032142; 676622702; 523860672; 658004157; 721684275; 17195963; 798482930; 244434269; 352554861; 687326174; 366473399; 543754571; 736830796; 519908879; 831000168; 51643123; 997008977; 230670829; 580627594; 279305748; 315248836; 669440377; 169524490; 39199662; 296718757; 771893518; 918588919; 827816302; 196339611; 502277162; 990006215; 983852595; 882289341; 308527219; 537569531; 915782909; 702111537; 550704520; 557828253; 943698148; 248418936; 342955751; 933197852; 340708015; 496074483; 196531117; 337796894; 81549277; 51086747; 753467781; 627767204; 689486741; 175123045; 610898300; 31905517; 440962231; 181523729; 823983124; 231811186; 33296080; 847182087; 699255409; 958890142; 303676846; 462048041; 558807079; 216810094; 819465833; 248355457; 186660198; 759307899; 711783195; 228017511; 805108908; 835032343; 505821695; 312222322; 646057774; 268275680; 427320464; 828525775; 684616028; 512062368; 732444731; 590402042; 937541389; 827410738; 263859008; 264133543; 48811408; 274824270; 317370719; 903210025; 965159828; 286933033; 20439728; 547380658; 487372701; 753492677; 78901656; 585010131; 289998581; 968890289; 76190630; 842697153; 948092837; 90707981; 105540581; 521186842; 596708234; 202486108; 318456535; 51046344; 47323987; 630682720; 388059705; 906762321; 772664000; 271319623; 14953562; 305819364; 638503283; 326860453; 263627347; 181910737; 289239205; 578571383; 901793231; 18876324; 770705189; 142064615; 916913729; 395193970; 250020153; 18744907; 736832061; 151920930; 341648633; 177045183; 186598794; 549474461; 486699745; 602504200; 667460303; 652473499; 505572411; 692860583; 593697343; 621654860; 394110136; 796158926; 313985101; 136154999; 281335981; 438855673; 201569225; 162349639; 755011712; 655934239; 825405401; 723024708; 654813557; 991335689; 130106891; 133673409; 461861464; 980669085; 162133069; 803292025; 808452056; 230956484; 727279753; 375662963; 182329649; 78642792; 174795892; 145421651; 583974269; 412805246; 70489617; 162412821; 759849388; 326291212; 47796241; 910063256; 784650205; 347364078; 372181798; 584482250; 152824871; 206494068; 24226320; 726132935; 420496386; 862292314; 227082843; 559714901; 557205438; 426979968; 494489599; 502235324; 1711233; 294512699; 289442098; 755596690; 823002055; 146867568; 939604013; 776068590; 337101256; 726027215; 927277631; 101217214; 2515924; 401913403; 160036808; 577545223; 610757467; 674452980; 514749692; 199524; 222878231; 462852188; 630981576; 511133957; 953247907; 716652086; 665797138; 995982466; 197985782; 109395425; 362333439; 203926749; 841505612; 453667724; 930855094; 138607912; 284857710; 891402800; 808647926; 372376871; 451961478; 30335963; 212408542; 931647748; 880732298; 909292898; 715618793; 340196968; 627092366; 991879998; 487061701; 959082597; 803594579; 132378013; 404322236; 534025560; 863166986; 874609411; 971361212; 435274099; 808426375; 758540072; 618314760; 542863883; 369970344; 924780878; 251028711; 855973225; 968439363; 688679248; 761133170; 773706712; 160145093; 154955355; 85535639; 113676056; 779428221; 890892940; 236765627; 936041824; 422337656; 733034539; 97889174; 789154270; 988986140; 283635521; 686870549; 566448216; 926944547; 130856677; 477818075; 999051991; 142908712; 780469103; 955418446; 12671596; 203508303; 396308488; 15958049; 80942206; 998856618; 286366185; 773185030; 337242896; 247068161; 572397404; 959747069; 780375337; 920473359; 762358669; 96348666; 191628956; 359912500; 894377997; 383531122; 992513374; 863114411; 123223475; 331117281; 111454815; 146068159; 17998919; 792081960; 324095230; 740738385; 4538105; 23760733; 361416907; 112179756; 640495097; 711389633; 393175299; 904470866; 849687846; 166196956; 854521106; 769661475; 431616954; 47225919; 357753241; 100502841; 435870170; 522505406; 787143188; 777281050; 544006450; 115850087; 776187856; 756841900; 728363744; 487879185; 480237569; 626136148; 680884811; 198794370; 600833948; 312835782; 86755558; 226055073; 84841663; 799070048; 110725383; 507796270; 121213442; 914122816; 236639969; 91225487; 509205021; 241955340; 554195290; 102788987; 532764824; 235979035; 998199025; 519521535; 708147275; 370965510; 717195102; 287307171; 901568896; 196770293; 789106566; 788021202; 320815433; 829344743; 510897421; 226210105; 889983693; 748420295; 269793495; 605485694; 998344298; 417777609; 315159805; 595333107; 266213833; 817869714; 84565829; 26254617; 978680066; 642599485; 901946470; 883737561; 490388772; 620297946; 769128005; 471259975; 878969186; 915349389; 489046350; 942542467; 658807378; 585809855; 28095267; 32487163; 124850969; 475871183; 847426710; 540954617; 845394691; 253340775; 14449069; 221867263; 215042554; 88127131; 396013609; 207768642; 828687069; 323677791; 172338493; 390096979; 435490697; 720454955; 597604713; 655675881; 103210493; 66790975; 385988438; 721779116; 23253398; 114728284; 742143852; 227586237; 130918121; 715557492; 7489087; 15348326; 686882858; 985097392; 477011273; 471349465; 948082076; 56048970; 95307897; 879641798; 236062681; 418679563; 595683699; 833377412; 241666732; 500347542; 179639676; 748742510; 358838083; 700083763; 491514724; 363817309; 796484073; 352543013; 692281114; 853957450; 848210620; 160490076; 646460693; 676518066; 532161387; 568097782; 955767818; 573567415; 224496004; 6956404; 711161963; 720761647; 862038307; 283740191; 463515502; 500709594; 250943765; 26005570; 966322209; 231094183; 553690511; 533821231; 938893141; 959012379; 36426698; 759199812; 674926136; 997232536; 215452537; 712321224; 522709672; 851734082; 183284157; 685126017; 316258728; 351785484; 26090119; 847797045; 261812345; 475486673; 556190962; 105807444; 464714838; 827565151; 502851926; 179000117; 38179848; 831576208; 955753969; 575065051; 903029051; 286214098; 530212463; 158068856; 559040597; 442502743; 162096310; 14441422; 549209899; 687095400; 187906450; 589159800; 874658086; 744488200; 683596034; 13475911; 600132368; 619066920; 764773595; 381069003; 348340709; 675278253; 371895550; 581459614; 614028431; 639445191; 794266771; 256171548; 745242270; 123406029; 608590605; 827544780; 720304329; 468994185; 556249330; 627413; 483246293; 54452325; 104175791; 555424203; 166577823; 488132449; 453713239; 130091690; 780607593; 880774575; 13466214; 625531798; 732519845; 86631301; 510777233; 33188062; 399558906; 355647493]) + +let test4 _ = assert_equal 6 (continuousSubarrays [413731335; 708336615; 580085319; 965787266; 153396535; 591706899; 72721949; 674953891; 25636195; 948911655; 310850223; 386611508; 121141727; 808100; 298392873; 256726253; 175205914; 187915309; 657868217; 431814216; 270931564; 482808416; 846581830; 969190130; 202954751; 344941064; 305956776; 519071697; 98968590; 316288473; 771386513; 321406714; 666237611; 369058382; 125237637; 797497392; 5605464; 40734473; 275360753; 238178478; 800575742; 719846386; 716241553; 915332913; 721102739; 941978111; 645458450; 171452992; 829709893; 754359272; 673003152; 644744845; 216541790; 734948943; 683613208; 838534829; 603081028; 815431649; 352087711; 140211730; 293284204; 22469334; 897099441; 791488292; 99266880; 979355467; 373745765; 90037547; 961655046; 309461745; 193364737; 124234102; 582986; 857155781; 228344949; 278300939; 171852962; 238194209; 602079420; 325459203; 761636070; 560540757; 683762146; 536611697; 108084330; 89997168; 174648446; 699417636; 368273871; 239270231; 391868945; 609215741; 700049755; 809741386; 817163827; 871100123; 346868100; 861099090; 644271475; 394272061; 490454401; 644394657; 881767225; 834599122; 287498283; 375092578; 420342855; 4000933; 211111295; 212319923; 781867875; 267537512; 341625517; 413656489; 801281415; 594434; 801007943; 321374765; 907027605; 605118147; 336984727; 279791512; 871713172; 485049515; 153294539; 197724101; 978374901; 553433438; 962255541; 915612957; 249146722; 98268937; 762756724; 345221529; 29371830; 214098867; 322318837; 111719620; 673731698; 561512126; 450358741; 930383888; 694012077; 721782616; 915076595; 700166359; 957949767; 620792132; 357407477; 144854746; 967423508; 376914401; 149002547; 512037393; 356617712; 823634069; 917894576; 234526984; 833909698; 801274627; 237940936; 361945441; 840951465; 88002496; 113299508; 183236224; 223963566; 192532708; 955943454; 582845092; 684863998; 974926659; 434490852; 666925621; 951922254; 948781769; 269592311; 986648341; 785123125; 838865814; 943287768; 584171302; 28570371; 631314234; 781596115; 443217680; 333204827; 241415409; 213999286; 413781985; 310232141; 999044622; 628588643; 978380099; 824326324; 797681320; 156693224; 112145784; 947601358; 950562974; 494537697; 402120769; 7114010; 937456540; 567410413; 128875397; 521652145; 730976213; 867588791; 635633782; 39059846; 110144999; 670754947; 86063238; 728593109; 354849737; 957362000; 748743772; 770989822; 567276943; 791676823; 252069739; 956291521; 293971084; 732418410; 573495473; 473709615; 151288094; 178720569; 744989963; 775285848; 106362128; 746619571; 630679516; 335103311; 886547599; 427348844; 788963434; 720701036; 316032412; 488895813; 508908871; 980926474; 38871807; 25448939; 743692941; 975164034; 305042452; 386000934; 292726712; 271695008; 870759; 105884490; 94235554; 315968749; 913527536; 925914200; 744330646; 958804076; 145076876; 441496119; 402285014; 172213728; 169337806; 861042534; 586556348; 199614766; 236678927; 914626419; 656747484; 536165158; 199529608; 396479791; 69286094; 19800830; 903654001; 236553158; 747469314; 777537787; 270415574; 149388146; 74400287; 408750353; 289661278; 321944803; 65274776; 792999794; 663706642; 175482094; 813034331; 992430157; 287882232; 438487982; 427977428; 612396567; 119920863; 940603084; 465669645; 162707962; 462939356; 878376176; 930982098; 606577721; 926425328; 406992069; 669793207; 545976193; 728185279; 796354077; 542883079; 181147355; 465623475; 686865566; 663350157; 63513768; 137935593; 917565590; 886870659; 11445436; 800849397; 470104196; 920935548; 495365622; 956450015; 448479631; 3029746; 829993242; 637419854; 275364113; 366817830; 225756186; 827038380; 237179227; 950321772; 751840365; 118100349; 248412969; 265898443; 715451284; 917768105; 304928619; 842114964; 385856998; 321836303; 299829327; 840288592; 330976027; 109072258; 788020064; 792750432; 556960388; 916688334; 200152808; 996937287; 855926397; 676215528; 212492739; 649660265; 970060576; 267597002; 167781870; 206955139; 430916249; 748609618; 515896812; 803033637; 793689075; 548534581; 538324103; 183411531; 201243818; 599537504; 700391144; 557911654; 51996414; 548944151; 158261211; 616006451; 111582550; 621224415; 340902531; 943885077; 743256658; 196911496; 872411722; 976923959; 955308225; 833507771; 24017746; 540185215; 163122054; 943017611; 855797206; 816165484; 374728161; 982580543; 494547501; 715216836; 871502321; 182940591; 709230709; 557987404; 392819334; 906114528; 398796636; 565543554; 537027209; 187854476; 279930917; 363397967; 229580194; 24015436; 39306439; 668000971; 422475936; 959728478; 429088887; 344077326; 419642544; 30275043; 894648164; 681893497; 60418295; 923875981; 478237376; 53166924; 256824820; 120238770; 76801085; 850766631; 343951556; 551986164; 15782546; 612560189; 817881999; 902536232; 483356197; 768100923; 835058136; 80866190; 856731801; 332392883; 369822756; 599059558; 153250436; 677183121; 799588468; 276867444; 571407204; 347549505; 278312466; 966210989; 200557664; 150037612; 417386225; 824570285; 342316941; 490373184; 484095345; 885418724; 106013468; 902998002; 576464868; 212026191; 134921934; 264730231; 173416926; 426686639; 496806619; 219824633; 93790039; 650501396; 883577034; 109886354; 19184042; 583601582; 214197200; 8849132; 908027782; 473886796; 207044992; 76840755; 835555470; 998541685; 78688441; 2827655; 714460831; 806380957; 556238150; 702580286; 567714041; 243230630; 86720563; 62701673; 215853615; 78188446; 691994899; 116965365; 900179597; 512174404; 757720584; 302245326; 929726034; 773131145; 122947131; 768574752; 461913631; 545297838; 711952955; 799755660; 667207693; 387016143; 753348286; 158279966; 716779547; 609894386; 437866035; 97646589; 753477047; 281498129; 591705538; 46827770; 32682921; 858190303; 665669424; 45444551; 223380929; 878307807; 736007544; 861020535; 590178625; 634284662; 399756223; 87368198; 886429843; 686766055; 276174149; 521120704; 613108288; 849052145; 146646259; 250221263; 612027197; 623760543; 206748793; 922383026; 270229216; 151607509; 716259767; 968705433; 123403254; 866296346; 564391485; 963039068; 356790218; 988067875; 418524951; 893380393; 171779163; 64755481; 548151237; 788971640; 841725143; 927643523; 786340731; 630290254; 176806686; 605885633; 892104570; 501043790; 345946105; 679562320; 665783998; 217185772; 381219151; 882628296; 608473379; 332805512; 56566108; 925585918; 83015590; 254176096; 932334129; 288039543; 457713543; 846359446; 193969957; 636900718; 329621267; 639165997; 963448136; 223944067; 895146022; 557647432; 646539153; 232139458; 32228366; 333162038; 451494641; 629478700; 30768043; 118435128; 182388584; 283986470; 884752985; 45516620; 264728776; 93124502; 232682795; 407730356; 454644103; 560670331; 206494864; 665484115; 747835656; 869491083; 554345470; 29516098; 852742245; 42655265; 425852606; 50663716; 516189766; 321400450; 718188085; 203454416; 278541624; 597682318; 587039170; 296368722; 732535579; 110714948; 937555221; 347954526; 724477753; 620055420; 284402158; 146124168; 763015906; 953936077; 673788060; 825563655; 735934087; 426531771; 517511130; 932554319; 189329293; 292900931; 55161390; 310959308; 483535385; 997199345; 973244766; 612355413; 954308705; 984859433; 359607273; 743175474; 35022266; 959417310; 136718697; 926594041; 516356542; 74705318; 337746782; 896018366; 899482249; 300926791; 696835683; 673231212; 562571404; 776555855; 939619077; 838564848; 636538558; 253050192; 683060504; 984688992; 307974244; 283372334; 778956955; 689761985; 406481107; 14291891; 347227620; 69625173; 579166626; 41424192; 879126995; 456955392; 663010276; 717612835; 963318115; 736922174; 484654684; 791843641; 38579674; 795825389; 497339006; 434806962; 652390131; 345940390; 93907458; 645962363; 284085320; 163961521; 675082385; 107379399; 235054852; 306850097; 267194775; 12475538; 398394422; 945322302; 85066595; 58335379; 93083420; 937646795; 265322953; 414848641; 628546849; 885605272; 611960029; 71300872; 707529456; 203519640; 904855747; 947758838; 469804206; 528116603; 982081061; 373012403; 180752230; 747937832; 446414086; 462683272; 885011593; 754054680; 713881233; 135380616; 551436332; 758717175; 455031398; 146912511; 649989274; 358754299; 248111693; 839059227; 729934034; 665481302; 850532818; 269804145; 651283525; 477837349; 937048296; 485581230; 483691200; 121639719; 674411996; 42051473; 254999016; 334506778; 345294312; 356534241; 623031843; 627940204; 455563997; 852758338; 665197802; 381757926; 439627824; 648049707; 135323521; 109739298; 888047617; 563577448; 432935334; 864669427; 950560113; 633179031; 780669622; 907134460; 198717665; 890665536; 457587904; 184484965; 81276651; 769854047; 45405839; 208140976; 637347877; 228873096; 465752861; 280407394; 752168231; 711650345; 88894179; 697828595; 213659810; 568041834; 347149794; 915180944; 716092361; 766407138; 149345188; 101330956; 597732507; 19821446; 689477539; 371841395; 139447671; 144679961; 784762364; 808896792; 172847976; 853629079; 628430389; 488459291; 300400394; 891468567; 815692958; 523045758; 177388290; 773739145; 397110752; 958194515; 640761148; 646682357; 677658927; 947047201; 158130416; 345388562; 849454439; 476040908; 67076603; 74483251; 270237006; 434145305; 679391888; 239209888; 575743537; 947020258; 29982786; 65339228; 293454639; 795063205; 246857433; 783907320; 393630647; 568762951; 306074758; 922988635; 694819402; 970879428; 455679704; 212376216; 997776697; 855423864; 677069322; 310592112; 91567111; 921453754; 225429190; 371350941; 235957205; 707966988; 501175677; 565691995; 738955477; 33396184; 162724691; 731371019; 399931965; 561248316; 976210094; 409571727; 573027417; 517715106; 369660110; 178210695; 560019596; 252599420; 415898413; 328290766; 386753946; 719202808; 180165193; 925409999; 597842541; 664280152; 994655470; 989054279; 221977146; 608096993; 177671408; 127619823; 388409434; 363703327; 865203222; 802778059; 219558153; 303955686; 626020841; 578270154; 457779398; 481976299; 781708969; 944998681; 667066644; 507859378; 691276117; 375307211; 300374293; 694615978; 88932354; 954566837; 570053458; 325505751; 392936053; 141709077; 714641953; 340246795; 158983891; 856453030; 476861855; 560448974; 221576372; 772448208; 57062508; 132293472; 498376038; 416156538; 865353333; 154858954; 927836276; 907216222; 846558843; 676462152; 434378702; 866314004; 670415126; 904861588; 850418999; 302975282; 984827028; 345577260; 554134319; 544854958; 565596774; 310366024; 17910569; 918313569; 334051047; 899956946; 382511654; 160117597; 720442857; 379556402; 877458950; 292765966; 699918481; 550858665; 111545290; 820881785; 993301842; 308445312; 136113246; 919317248; 76541674; 467027571; 593287573; 342598357; 478869556; 453782080; 535498761; 512863157; 340014702; 827734938; 449353949; 729077402; 22276351; 736766269; 393531337; 745679509; 279935525; 493997536; 832023340; 996919625; 606430248; 252205601; 527759321; 825971028; 848848206; 718311826; 783199109; 384897174; 432343008; 107686214; 610382970; 627198023; 929646503; 358786231; 800923701; 256403902; 631903868; 958679879; 606442146; 521617517; 138742386; 526546010; 943515984; 931671476; 812513572; 786285022; 8034113; 405396209; 95714134; 92277382; 477747542; 799940327; 896793430; 494787896; 592010774; 8371281; 53712796; 640875897; 272634160; 154239003; 166722024; 326851209; 664982616; 183225438; 777672419; 695421105; 532798499; 185272727; 269208992; 54031602; 303491895; 508076960; 38161764; 669458990; 763700802; 133768885; 66571419; 332765184; 286080219; 410370061; 865414802; 106340020; 607411838; 686468455; 980674668; 572196789; 350654464; 263288280; 591573645; 272716357; 661662832; 17301381; 846253425; 276239867; 710925627; 345850488; 172748944; 720276497; 830664775; 208822833; 269604920; 309099484; 982317947; 314986552; 773287077; 750600270; 833813410; 273508835; 581329099; 649800751; 988757236; 268663805; 233155640; 439200021; 704711916; 340428817; 88324629; 739318435; 805208225; 30214482; 11667106; 880231600; 296234196; 202527775; 272785462; 85570851; 206930524; 158405208; 744852941; 496308108; 430260873; 581774515; 389483578; 644217884; 978644595; 309731298; 823169165; 868280281; 221049982; 978450207; 856046889; 206461635; 701897057; 433780053; 481339485; 61330756; 799145541; 911167866; 207488723; 610636375; 405869894; 102341409; 623531841; 371294189; 482933052; 821832287; 395455790; 365373327; 859899797; 188750301; 157327886; 201708214; 981655148; 568593284; 11447376; 704056583; 853691294; 929765718; 867689661; 652778673; 678736806; 29907996; 587751788; 430040407; 167489770; 206790429; 32739086; 998488865; 731108511; 145848401; 802725720; 632434616; 570700852; 531114033; 247323014; 509584135; 854169338; 984936008; 812785848; 780268263; 293665316; 933357329; 900522410; 216913150; 658392842; 82729587; 928020201; 246542059; 629954375; 676441382; 640169483; 609881129; 893816886; 762131991; 395270473; 402346057; 192443411; 219215208; 76092517; 676589808; 987095262; 105540739; 754070186; 87970786; 936906968; 479684644; 157227726; 843034713; 780789152; 991684617; 989012687; 713638928; 845462838; 633572721; 527597588; 187970877; 551924609; 908104139; 356526509; 947973846; 287531904; 368884759; 754952633; 795545133; 67745136; 781670999; 519061099; 944914594; 656745076; 679249536; 847332578; 294172234; 816163130; 555879280; 970069641; 863387397; 38409322; 355818671; 760099475; 531856656; 53936327; 279823079; 948140990; 965518126; 353922218; 200829283; 603711874; 755229679; 321801256; 430960874; 602148374; 885553559; 789093929; 711154245; 664739264; 228600828; 307829014; 103639007; 651476143; 8138101; 823388907; 878957621; 691461309; 659327330; 489912293; 413049832; 177972834; 275307680; 876023238; 768807355; 826587272; 736672976; 216435475; 487349073; 607079682; 883922293; 23948295; 886188621; 546760920; 207095748; 321301745; 290036870; 669825611; 621498370; 301925206; 925691420; 335354994; 429424789; 591585472; 524613200; 339984036; 900359720; 92923328; 905892915; 201371015; 690420231; 90619015; 246443495; 186347028; 805764862; 353280814; 285368182; 354402441; 323023485; 396364199; 718622780; 832184; 600785897; 115313110; 762948544; 451458935; 416157136; 780261318; 946846801; 488731555; 467329511; 741703242; 2309424; 58553289; 147950607; 543848335; 482709470; 483232376; 933160747; 905623908; 271978875; 731550634; 92537489; 931298197; 372604386; 820892540; 706933772; 866427648; 681435659; 87791021; 962277540; 702302773; 612418274; 566586339; 531418163; 212012934; 22420066; 116294017; 427298032; 588188941; 480754582; 958970820; 635445821; 461684313; 25237641; 707708114; 285421054; 636979498; 534488517; 134537996; 573651066; 778211996; 297152349; 981990991; 94330261; 267544507; 607774534; 742960351; 750790892; 687665011; 609432555; 127056040; 909313271; 310864816; 560698465; 929854496; 90637042; 171798607; 474091866; 190333634; 132192401; 307675697; 198564991; 467104529; 749218248; 741646970; 338239943; 318088786; 134256018; 623326505; 162204385; 445071719; 84376471; 268984039; 824635759; 805378017; 239093820; 929355962; 12335178; 753620269; 603878675; 51159571; 400555138; 927041300; 835504522; 726171350; 400983102; 358150636; 344665908; 481756721; 251242336; 295043691; 415962542; 913758599; 111517785; 423761433; 503053658; 194884323; 588078540; 718140888; 523613132; 450351051; 503526620; 830037658; 633231798; 473969186; 996141499; 823443876; 515858164; 555740081; 776437847; 865403087; 82734522; 926236247; 99468669; 405108225; 594580402; 761994997; 240304348; 201507122; 113462820; 364781613; 869402824; 350507036; 623640033; 216653571; 689337138; 725853496; 969462378; 880140140; 607518758; 755946679; 813607781; 255698977; 966036932; 878926096; 634115631; 244456837; 894683587; 817240970; 58220318; 590517693; 585765159; 180430852; 481887488; 36188242; 17773085; 810327385; 822915204; 560296126; 202928704; 749254079; 526905804; 646756794; 866888268; 580018090; 489031494; 559663258; 272580501; 374898828; 158268266; 822549379; 948421906; 81866449; 959990529; 405420587; 19196530; 58709529; 119084269; 411145061; 712341084; 255804011; 177348066; 331079796; 890849643; 43516975; 732280588; 958155787; 768865587; 895149677; 923408197; 711202999; 619168110; 155600920; 537719386; 401231278; 73183990; 134329509; 183280529; 602112261; 902666659; 605190591; 86090875; 477295210; 234408494; 135196569; 423482189; 129847032; 671983693; 531267536; 374671287; 582156388; 978417623; 158967063; 824847733; 459921769; 990416567; 883473999; 600771904; 321708529; 97704799; 674009918; 256895128; 745572001; 785990678; 694379085; 785393692; 139499981; 316773317; 740087705; 362998006; 793949399; 529138921; 779903627; 179654716; 617366173; 583651712; 803138787; 414570553; 270609377; 259193200; 149093106; 932521885; 443906154; 869471485; 728773909; 987078272; 66387044; 994341389; 31811108; 605436569; 181588170; 851740847; 428750091; 635341282; 615303444; 341613923; 987286694; 63810661; 601736867; 367423763; 358750294; 21385945; 536549389; 224073134; 908074312; 311971782; 41858382; 929576924; 289753986; 920029407; 645000994; 220997854; 951531687; 467513694; 798040859; 145395042; 840760159; 710479528; 174421049; 788076005; 265542245; 82774055; 766809571; 478516002; 947413061; 511230509; 121591704; 12416809; 491944114; 832717451; 630629565; 881620877; 50408117; 757642856; 93616113; 578449110; 864041138; 218140648; 739573473; 247690670; 692977352; 114903635; 212749017; 367107123; 883831586; 336508136; 536592435; 721478117; 544508468; 626728182; 227415688; 545452112; 92260591; 209274476; 364600612; 218264139; 331598817; 121975173; 596595040; 144819563; 384696635; 111906949; 199066296; 852544130; 287666918; 466408994; 215037610; 776148646; 143302235; 614490586; 545193971; 218330004; 891563472; 98679046; 147710475; 622255911; 778571501; 441003607; 586419318; 479857603; 402575157; 382983304; 186263041; 428129570; 936566321; 375652041; 888048904; 676814082; 395646379; 678684668; 95081400; 337695960; 198388430; 746629561; 490103305; 136224723; 954782470; 905609914; 192764728; 620837778; 341043461; 449567709; 16148897; 48960736; 13137924; 15160714; 973551303; 530093381; 670145556; 980662824; 842445131; 587948548; 644743872; 17712348; 623960213; 941611645; 437897142; 740568060; 206999374; 280438024; 632798957; 822889511; 24591569; 865144193; 69254796; 238651238; 865514563; 192944549; 344505079; 974756231; 791556700; 154327527; 941380658; 927831565; 336508836; 362901036; 252011646; 1802074; 737579607; 209112523; 260213570; 686582618; 642956391; 275306945; 601678177; 958575484; 634003392; 676395873; 767602218; 207325742; 205166807; 359581837; 414668788; 311790101; 73377179; 320995330; 726351541; 841097334; 308136066; 929338548; 459183296; 552363253; 155033258; 687391407; 40369502; 399707430; 441850841; 928123680; 296462381; 323214466; 945967722; 469077259; 792909966; 156590061; 756510015; 933403491; 893219035; 928875948; 526315862; 756896513; 751166815; 408446317; 838531174; 593831202; 304298775; 405070986; 811446196; 466032385; 87128607; 869784367; 299500460; 397039652; 664783085; 483631800; 451850920; 148108505; 976320197; 308000602; 186726641; 214510746; 96698232; 222484140; 638792388; 727309438; 768100598; 405772613; 672335026; 3125548; 98583732; 280294416; 489498907; 775363202; 951900602; 978863160; 440305503; 349402480; 323847643; 993961069; 918551710; 328072514; 231206965; 789247867; 131367812; 125618915; 563084042; 399203963; 119243107; 714903829; 860774111; 766900018; 905725290; 394311739; 228650509; 642996197; 36153257; 356140251; 224629587; 844745104; 253968060; 565111557; 343040941; 466115334; 973312213; 915150604; 355238148; 658840592; 785423118; 763722188; 294086193; 173809863; 348517867; 877667141; 617188337; 491224323; 528789539; 255288740; 258499173; 898343497; 453918864; 903826549; 80434292; 150757602; 833945549; 891464350; 565992242; 334700943; 802336872; 450473690; 280270859; 892946581; 138153471; 327100304; 276572296; 67549691; 315737078; 577199727; 191010696; 703245924; 618788711; 316382655; 607061435; 834859554; 246070374; 248666652; 97086396; 108551426; 297094355; 253631200; 558433434; 868304448; 384265042; 955085543; 829446894; 684460743; 43936312; 63833416; 885065419; 34494294; 972177440; 758022393; 528532090; 387387983; 13062534; 303265324; 182270410; 755188342; 636100451; 118980129; 538704446; 644397469; 154122018; 840724502; 667511591; 132284721; 872377154; 282160554; 330958291; 801103067; 248827678; 76319661; 360294209; 387233283; 656832441; 62019489; 157320427; 758412986; 746719372; 698161212; 787018660; 246835661; 879814196; 957764678; 56055627; 166318443; 767075391; 163396082; 440001027; 793918403; 927579793; 616208632; 525499036; 985362048; 170581666; 673114281; 422560901; 921245163; 888505653; 244862466; 755687979; 308131593; 322954592; 467364254; 39570734; 791368480; 771068163; 982980768; 695192613; 526092979; 275401837; 830590155; 379416756; 705426232; 125828588; 713321239; 603390198; 15373925; 131499536; 590990244; 585320324; 965297198; 277110107; 89571726; 983954663; 447140540; 138215602; 41359650; 340236648; 463967801; 576198859; 436040623; 545039097; 670427915; 498140518; 262231666; 785004014; 616942953; 782191947; 716466633; 50315160; 274931836; 715714153; 137181297; 974215292; 625900950; 318857650; 557069969; 403350402; 778843347; 78915141; 352003917; 152225373; 711724823; 133786300; 429811808; 5438497; 413350144; 324805175; 582928216; 502067412; 302536569; 79915926; 262206749; 830636980; 340167017; 648355063; 459945291; 69864440; 847941719; 841450818; 211302260; 780475703; 551431815; 190898234; 628878910; 979545553; 996435985; 273410093; 138758589; 522669360; 974307676; 801135424; 446094044; 273298907; 764601587; 595204710; 866936437; 908376941; 853199017; 601488548; 891377764; 57827911; 753350571; 61600406; 476006156; 436672052; 245304427; 171539891; 32740722; 609297442; 421062638; 779577674; 790914027; 843741481; 615519891; 323576434; 893093779; 153724207; 475861604; 6976568; 769960428; 669697249; 721652390; 358065158; 644258115; 534961471; 107840586; 764810077; 181890870; 509493009; 81132472; 175634367; 461570493; 284398396; 379500647; 31782829; 261217061; 39552613; 975723746; 981134081; 926465682; 233412795; 544255630; 839767794; 64611268; 631704423; 680504505; 78609955; 753654362; 245745949; 321809324; 91326980; 480139299; 50870750; 452780641; 984163580; 4236369; 667656910; 250444181; 712760650; 443775310; 590502920; 784436719; 785506507; 744319456; 402604512; 467141403; 341414353; 601815337; 472568202; 13704160; 929527657; 599092153; 863038896; 749376125; 579346166; 229013417; 977245189; 104048011; 726079062; 931757071; 799461439; 93987121; 651680291; 78792256; 979254270; 427703181; 397690189; 527556296; 729361637; 19301146; 542611347; 859009938; 332461453; 848947886; 762489565; 852310890; 523779121; 310655147; 377435140; 468309975; 244718386; 440811636; 940037896; 72243965; 257215034; 651548705; 794286323; 433276852; 958232382; 171790538; 53418648; 5226118; 404018104; 873291369; 321807151; 354792113; 830690912; 945527872; 216470404; 653811890; 981144316; 607414712; 769539250; 107671818; 102570011; 15684039; 723952448; 731979623; 956953138; 739380293; 270919429; 750088466; 849781831; 171522685; 536354176; 998052961; 49757192; 705930442; 538187851; 180343305; 93957807; 51247223; 829840308; 687895586; 932170852; 661679460; 627791416; 946826259; 822589554; 598170312; 997796557; 676041757; 935813390; 685161801; 72425486; 953974810; 68525757; 805082254; 671588514; 932607493; 195369808; 758163333; 144572205; 834002385; 634082125; 666887480; 767454091; 562150940; 421096460; 328638399; 858926615; 525790239; 18726584; 71769579; 899265887; 411248251; 14775613; 867023116; 894563930; 371093961; 874678144; 505523406; 259706359; 324979771; 96440357; 875200784; 447029881; 664176421; 648670116; 699728729; 770533919; 826712206; 590162638; 499972005; 544415193; 763403045; 354065558; 103404943; 38978182; 7406911; 214214861; 749820134; 180696438; 999592382; 307101157; 227210948; 712461226; 42968507; 385099071; 920384324; 912156961; 578168437; 94503362; 745370693; 65370187; 603830078; 77457120; 25896102; 929685720; 949156158; 179804062; 307568501; 59127807; 677398118; 862806293; 476821206; 81176497; 929610983; 39732898; 578236375; 639982924; 640438440; 831806694; 228031358; 525957489; 768896195; 544179047; 866408305; 24590029; 376315026; 932223558; 101309346; 490341441; 608094837; 605479312; 600859610; 920336984; 727802194; 175767973; 249461792; 764795797; 614232673; 590809348; 190710589; 873215413; 701324209; 917237583; 1731674; 394484315; 428901387; 234256603; 754488229; 103196521; 248706088; 68765620; 527384784; 342104021; 394604600; 490251877; 469174900; 236666888; 645885702; 365041806; 306551573; 954086918; 742465961; 995407332; 714449098; 509575481; 474634533; 246230853; 667404858; 289452952; 623024559; 736680837; 7442503; 707957993; 739040070; 152413642; 556011186; 229488458; 939621870; 7237687; 596633048; 408582621; 93036351; 80692053; 383751390; 316267179; 255243279; 614669856; 148848957; 295959764; 470285261; 232377397; 992310871; 257337028; 988345371; 925194406; 43555239; 65467475; 33796906; 977861317; 726995273; 474282957; 695235422; 603818422; 574636901; 558445752; 936682400; 365476516; 955594632; 129417742; 287640817; 755116368; 211028797; 284622888; 460148494; 278417708; 747896528; 959979600; 52347904; 468664021; 668098190; 178468240; 212440378; 457536872; 83317756; 367541293; 45815078; 821700934; 226374771; 405427776; 203468470; 525432368; 697041097; 878138151; 800263551; 422160301; 673741626; 796808293; 936402809; 516169132; 578193752; 48967098; 305133504; 519921419; 303358112; 302277149; 860037263; 331739118; 251834639; 681478197; 69524498; 638683975; 979972053; 83179028; 992175419; 132347387; 653548081; 252770919; 566825843; 537120507; 563440436; 915705427; 150125138; 487477572; 695675221; 257871215; 936637989; 213038009; 420818744; 102340823; 490224339; 104540989; 429620596; 488217832; 618241335; 263368657; 208178493; 12656915; 226301817; 579690099; 437525627; 730471811; 807381802; 502291137; 57087345; 770850407; 720563914; 551926373; 721227768; 411716355; 653223238; 619272163; 703732323; 913201082; 203097163; 953305689; 446216475; 834971408; 140150400; 784580486; 287153946; 166384116; 184461532; 997697827; 715435092; 909805532; 116036325; 301482013; 904281551; 253632579; 260778270; 732953283; 911561950; 927555493; 764405091; 864188781; 858491089; 338247600; 439969305; 108181624; 616215446; 952627178; 485712980; 530233813; 773032350; 796087558; 693829210; 892534993; 195611180; 549985227; 120545299; 986627163; 648915710; 430118229; 401773568; 518695409; 522303580; 521200064; 459573665; 46205646; 244694493; 706791537; 546897494; 766199773; 837214879; 183208372; 841896853; 19164614; 501483054; 47034683; 21126811; 11466994; 375253198; 520340304; 30816161; 871991497; 668325563; 904812791; 146969289; 724403480; 147549355; 878258453; 494536387; 143054553; 270512101; 88060187; 661606791; 537175661; 537649568; 577045877; 926110588; 415697537; 613043118; 987409038; 291454344; 527578521; 176708589; 245275724; 345758515; 547432103; 101757866; 94632346; 957630514; 906451498; 642062563; 182260848; 57525291; 780274072; 575651658; 76640948; 199400711; 897729922; 697697653; 199556364; 429479274; 328497702; 873839638; 142527996; 203705833; 417561122; 484111084; 203216550; 897917032; 302398380; 400501993; 266678110; 894837846; 612299932; 809230351; 433577237; 442926805; 889969425; 815903584; 415341747; 807110349; 164217573; 844063373; 711626795; 377370379; 156244635; 894197295; 579596616; 286625420; 510754596; 774517766; 83798465; 776896517; 947867479; 540909478; 710908554; 551139106; 975495304; 813874578; 585430929; 818186404; 159539853; 478908433; 892422638; 387067082; 793858278; 590144539; 266614725; 843893829; 849840219; 443475922; 813577456; 254783140; 397313325; 575872401; 470275326; 204661822; 73415800; 273405868; 898678826; 300830628; 239149688; 706391567; 596545640; 810034994; 787084644; 843859430; 513265632; 373440212; 112064910; 697220977; 399304434; 973369703; 526028940; 242617561; 991795768; 995590828; 427415979; 798668023; 510514058; 148812132; 903439542; 899872756; 903545712; 43926251; 711026041; 954892974; 683081780; 468071581; 357607931; 563861743; 504844890; 319480376; 737069045; 308225544; 838281808; 743281821; 852372975; 610773857; 213637643; 863223267; 9421902; 759375075; 497446434; 847147110; 336300724; 461918508; 516373509; 453829632; 507297300; 95817747; 463389723; 226361518; 944418704; 473105483; 1527779; 529938978; 236585930; 541762011; 551867197; 960165783; 27081612; 121164421; 344605869; 223417372; 859607334; 202698258; 389222938; 817968970; 89250665; 860972900; 967039504; 541183532; 458256227; 256052562; 274704336; 626036135; 889993317; 977550305; 286490719; 950296491; 454054345; 666980239; 618286493; 879706816; 17716767; 94531918; 313995279; 231159396; 267325271; 872465324; 266501164; 951627183; 971070863; 837657732; 5374977; 883714029; 580020514; 141173494; 108991354; 861658220; 914643906; 505193627; 989350304; 495682089; 806054513; 949735837; 120431880; 352965807; 897069118; 289083241; 968510870; 728267628; 167609296; 441844469; 96248380; 833750665; 840465737; 557464208; 496976525; 888557258; 557079170; 401610993; 889317974; 136220416; 142567249; 70584221; 770068981; 472260082; 249852565; 368226378; 98484400; 15798912; 146162118; 31975181; 799183742; 191355821; 507046224; 794572734; 415062640; 831080016; 517321774; 446918846; 840566947; 125702654; 590179266; 809761059; 298487296; 31622693; 348549270; 773320262; 869766847; 157175907; 915369349; 272073512; 19034270; 655464547; 179223368; 977053451; 646395281; 809725086; 73706101; 772144321; 275638864; 115094120; 625844468; 108142176; 893514685; 799726753; 845793799; 493926696; 855979954; 861480416; 41441872; 432743455; 598794099; 97478927; 399788796; 958201080; 509400797; 618698509; 790524978; 882242602; 174831825; 655391951; 812590664; 611676506; 186242081; 909394611; 900000867; 664604597; 414145815; 16208849; 638803672; 801436941; 467400904; 300147197; 586386640; 79902003; 980043479; 706693141; 119503701; 363057655; 727633406; 276448348; 953918554; 487723756; 294977747; 945302675; 509623863; 297228199; 776603487; 759415145; 637534440; 373015984; 959469054; 334153534; 993112395; 372226063; 264698150; 220360696; 434942417; 324320465; 378520103; 500931840; 892977552; 574509978; 506485282; 734039431; 638935762; 322164552; 608016614; 392124708; 231644165; 746964540; 74583030; 459745720; 450579642; 758967766; 38281233; 219532041; 322709463; 898136470; 578656799; 283869314; 601566489; 745863301; 88139288; 395854420; 61088540; 787626705; 235893245; 171771551; 878019312; 617197601; 495626450; 350764946; 924707455; 54949103; 332359554; 243213712; 479902117; 683012595; 149302909; 117260532; 66804229; 623510732; 134619558; 15297747; 57585451; 578946902; 275355572; 749723880; 184754230; 39937725; 964452393; 765940992; 281303363; 382733425; 713117284; 333292058; 9986507; 548334795; 499935347; 706437490; 941436442; 185545079; 398808089; 954212374; 935308349; 668933747; 357978719; 115218609; 331249665; 262813627; 882235884; 300798048; 436082707; 465053988; 810567423; 533932226; 148357548; 980613483; 628555460; 750662000; 46517353; 105929001; 245055160; 629080519; 216815656; 119411069; 773966705; 302905776; 861329884; 152507319; 286531793; 969541736; 186459772; 371556685; 216445422; 639405852; 620271226; 337057501; 558545888; 389255095; 907178897; 552689190; 231180651; 929859379; 178092341; 908647647; 520783892; 723496518; 129584616; 303905254; 181453841; 137434685; 605589113; 754609274; 145491282; 661832805; 471044486; 607362589; 972763723; 610486665; 956320498; 342370159; 965320573; 85583333; 52584375; 603543279; 640044567; 869501421; 236135960; 992640951; 228473795; 798857839; 515731563; 610118402; 93976213; 482335623; 933867184; 891395091; 678588782; 144298317; 480244966; 978082757; 89026779; 152629134; 214973733; 18246584; 90880035; 163903251; 705622160; 613122215; 382792552; 405463394; 62001998; 183372477; 884705076; 944692426; 841304619; 853975907; 143949907; 387032322; 750614322; 229800533; 186833229; 674937824; 572624868; 338691328; 468158772; 57709314; 653555002; 477777335; 899463806; 647068391; 719143299; 999571506; 118352181; 702689888; 705744067; 347303310; 13831087; 623347257; 913085005; 982166867; 519761203; 791527702; 589002666; 860380423; 513184780; 91873923; 947471826; 221916558; 205560938; 365275377; 212701267; 616285264; 769492665; 335809363; 865581593; 628975548; 303655284; 406081981; 559724811; 837011703; 591830558; 76829321; 960928299; 639602228; 952194190; 826625327; 744426466; 670501789; 415533635; 587684370; 282261414; 4300707; 622301382; 55038870; 35990469; 54921783; 558281322; 365364612; 147843427; 341510324; 893934385; 521108668; 23059992; 316331565; 689481910; 609366468; 450156720; 531858890; 383379745; 906159452; 101507460; 113019745; 210466778; 405650227; 38122283; 116990067; 270178820; 224368253; 385361073; 225183903; 133206972; 963870667; 419150888; 24158292; 379431466; 242163178; 365924029; 231491787; 626778605; 955941574; 521747901; 414564013; 430971213; 534382035; 12661998; 672485075; 700541287; 53505652; 161289397; 763291328; 99921887; 323823106; 656615764; 844924584; 797064377; 542785177; 675521733; 49629005; 553511212; 435787776; 399463766; 747127122; 121166355; 300244423; 199995943; 20728135; 842659864; 247291715; 785349965; 542191801; 752249527; 547677993; 717842517; 870515210; 399022711; 415433793; 179880231; 898051335; 50914259; 920103010; 915339240; 718353063; 191510128; 50626020; 208493820; 931119991; 277083900; 787672570; 203265068; 549600461; 411131906; 87869401; 245183582; 224464359; 483768091; 905693722; 846874659; 639459170; 601649048; 550105884; 982475937; 437693911; 696621056; 841943728; 918891036; 87696158; 575997747; 318893366; 267072292; 15799069; 747869880; 863878947; 776862807; 850623909; 463236545; 497932982; 146803223; 489814231; 943467622; 115775767; 315588510; 934038526; 374392113; 771917541; 631932532; 154008664; 905019369; 347608640; 620737388; 272009292; 710544374; 597325103; 777519043; 257174144; 621611843; 376804255; 285022176; 255767850; 739200421; 615337076; 762436815; 358487743; 559826208; 967424982; 277167634; 132392810; 458777184; 490286676; 557858486; 474843625; 326842365; 912976529; 1772911; 513084242; 850944001; 572898304; 718248659; 515290696; 107116413; 152435449; 252937676; 730621367; 849525019; 913975423; 319069088; 945877399; 49232863; 638388085; 534796961; 289761734; 392985425; 147491049; 500297018; 428829208; 557190085; 753200120; 278645015; 149344789; 198546306; 228373074; 266527267; 366504096; 891139688; 776063938; 592524046; 15623342; 915503829; 460961070; 368119931; 418233441; 234586214; 953424289; 467728520; 549309610; 60783529; 329518423; 452011368; 731386652; 18801987; 955816316; 177048398; 891755010; 738101430; 886390572; 932026239; 311723479; 592802192; 26862749; 732520170; 460423782; 910459760; 572196093; 260263664; 668400746; 746381845; 429429508; 343606063; 303556673; 156285634; 166724299; 320907010; 35434550; 636956689; 206431964; 528698824; 677100792; 797274590; 762926653; 196839497; 659284630; 135308669; 760849921; 389314515; 420468477; 187846650; 743793220; 632138865; 548895918; 77553709; 761140630; 396661975; 210008634; 471704282; 630866309; 427854917; 560008390; 112139405; 224128300; 870052165; 203007247; 178218504; 593065188; 311773465; 843264111; 863637453; 576983867; 672137099; 375606766; 513249163; 576048274; 297030427; 223109128; 124504477; 355410316; 581394080; 310219432; 707233072; 924903041; 816431525; 285119506; 283502295; 954009333; 504112778; 576134972; 801160723; 137616696; 396600015; 307547683; 973448058; 331279303; 368001390; 280293146; 253782850; 583639868; 992987950; 156179994; 50733967; 395432975; 283921690; 90418343; 60601303; 875239499; 564178350; 677852843; 565704633; 505857408; 418398461; 967394873; 545944896; 76489697; 544536296; 922855937; 579990147; 139594330; 660807744; 349618723; 104406354; 912771398; 260406988; 914202177; 850679865; 310031188; 153055098; 294744130; 47121286; 179046424; 801108209; 160964729; 666134698; 744346568; 554445732; 625484056; 471180832; 510282473; 797374080; 974905583; 191218348; 272344806; 410328844; 124518793; 912246473; 693916134; 599007824; 287549821; 84720114; 778874609; 868649460; 417812467; 85192026; 730638490; 333771548; 428844292; 205146835; 318839122; 262809544; 149481760; 324915185; 598046934; 45139050; 531175725; 592439203; 643898432; 996082917; 650674191; 317402339; 269798513; 633561405; 456448079; 491677825; 749057285; 29084824; 352175499; 831685171; 61526259; 288511375; 55704263; 225084032; 118130013; 392454528; 654612005; 199101710; 432612736; 277125387; 885937576; 85937817; 905866763; 125766569; 734124951; 640443647; 631231152; 528408077; 756308651; 608894852; 542746417; 399476487; 587993006; 314996247; 277069841; 161000197; 730906723; 37689357; 692585705; 487890944; 744413486; 557049054; 383132495; 52841388; 615879504; 253987563; 917362696; 144188443; 179300638; 716394815; 574063746; 933364097; 560533115; 707056590; 505229475; 985596027; 497843829; 490326213; 655546820; 347486070; 926407851; 80230587; 992106855; 280390747; 888136061; 27895490; 467368985; 240434463; 246993006; 791624750; 858514565; 833361762; 657727886; 595712069; 281229208; 450477234; 95183191; 647022609; 725160869; 399099420; 116930593; 200459363; 880806946; 900243092; 491200449; 473295037; 540086306; 765655459; 295258173; 344238937; 78243922; 656477947; 372754042; 418453062; 370248261; 467900501; 696490739; 263457432; 874322166; 598303607; 287744504; 674970062; 708528246; 372068490; 101895817; 690621023; 349422252; 231612541; 497517743; 605595783; 532179645; 981389639; 592561266; 815474675; 539566828; 102455061; 591858828; 126408893; 336044076; 866657144; 157169176; 930996847; 100539211; 499389296; 109260986; 891366579; 930224964; 98828757; 96236247; 398061676; 414446402; 938490885; 56893574; 700392215; 110946570; 981096212; 719586090; 699827021; 19835259; 720802002; 174217437; 776120075; 739541791; 869122103; 156894679; 777605994; 711748602; 327903595; 921471339; 189185986; 406838333; 563585847; 717315085; 840868281; 401126440; 623557179; 765435289; 130312295; 43951268; 677666913; 895538548; 177962823; 201448091; 230315326; 365958700; 972727586; 326172513; 868946635; 44652887; 379925712; 327350523; 700184464; 300519822; 644604260; 740145919; 661365513; 333698349; 514035114; 859527213; 271711531; 683933935; 629303498; 144506972; 470515193; 162318345; 361468988; 773681403; 951061808; 618054892; 170325268; 541789267; 879940958; 835631004; 228332363; 285941; 893489786; 707683348; 95338226; 306290205; 802405981; 293220340; 967511979; 593726390; 835193546; 76873636; 239104489; 98862539; 730794137; 483217075; 565334732; 620839406; 488761639; 306143438; 443844020; 191707075; 673806132; 371244124; 426322917; 690821801; 126313746; 368560425; 293999434; 238721923; 198407199; 259064807; 477745889; 669810485; 396775991; 917671963; 15555009; 961291894; 521275086; 118553165; 376450715; 436208891; 754192196; 960953410; 691003753; 277420959; 48223675; 895557693; 478440090; 845184988; 812492659; 716399281; 27282094; 594466981; 147543633; 191024744; 290864892; 192183368; 813367972; 563033685; 586187140; 196464330; 850801020; 300870970; 311947313; 681362461; 726142239; 239308072; 84012810; 241603802; 399718378; 901032097; 788930297; 975620475; 310650235; 137819782; 395221412; 242337596; 136332832; 262323761; 428955394; 616825046; 272608443; 942188421; 351541622; 373663972; 366026932; 569044135; 828867394; 839860756; 483606735; 140373407; 144133406; 571177100; 864133331; 483809534; 352462943; 476034081; 529590755; 811034676; 746270821; 63369749; 593688894; 278165128; 103746320; 170691917; 19098123; 596619039; 733097272; 370704721; 74535413; 940664464; 911538679; 943462332; 990306562; 793048101; 883432874; 203865682; 812420040; 306138712; 15553831; 37449603; 702612837; 841902965; 553941631; 52531429; 87602367; 800571677; 156944672; 340656687; 918148385; 756066090; 232089177; 797358606; 11236890; 848237973; 346750968; 670799950; 366501871; 73330622; 463396541; 52145811; 379061612; 356916657; 610924441; 566352168; 725712905; 525071540; 206556595; 298352204; 44052589; 265974787; 275331917; 695797905; 236938505; 970002970; 134849121; 669972523; 434179031; 347090745; 618225984; 282486983; 394331970; 395437230; 891404949; 239975401; 381980526; 698192817; 57060436; 912971099; 1104871; 688263907; 769198324; 739575598; 532631463; 277667949; 488947190; 810198691; 112549138; 179305582; 607773893; 579013424; 631392285; 308428974; 389438297; 591531061; 180081068; 520212290; 92817517; 984792271; 12197746; 133241620; 695914295; 815965749; 112737698; 860534153; 788005873; 868408275; 54048520; 324533105; 629384182; 11898576; 392656807; 304838938; 413892374; 605813142; 312625830; 879283147; 192493615; 636534893; 463717629; 645643993; 830319623; 907497711; 823984702; 86873495; 920329741; 491053552; 423509659; 557383937; 778140718; 991559738; 646331066; 642645796; 886317432; 601782135; 363069773; 633534588; 680004349; 5506516; 352975882; 248267268; 834087074; 5575808; 427613276; 221977159; 957545479; 440878596; 954122460; 566713065; 38054480; 807511120; 782891013; 118534672; 990036140; 756153848; 924333944; 831527806; 61823242; 506972240; 613113528; 952310587; 556625734; 683356635; 696578339; 308493989; 228232333; 254453124; 84225461; 516290794; 618679557; 63691765; 82224094; 189056772; 651814557; 310067314; 411763322; 313912349; 771320262; 585579114; 835544241; 566485107; 199009778; 811706051; 49495028; 770981261; 937563672; 126680902; 307838732; 735950129; 147051542; 783045385; 425661477; 809741678; 332129043; 916678174; 916297229; 41482767; 773422713; 509037150; 162414232; 859539910; 382275890; 768158897; 851882864; 572779052; 707660612; 759552950; 859138674; 744382295; 598537750; 463579059; 928534585; 927950208; 27660847; 393383234; 969474592; 847359283; 88414963; 78209647; 309163297; 209855851; 475442276; 918685620; 16036468; 908610682; 793486974; 220496231; 876286281; 827700253; 338635890; 597355864; 478125313; 566259565; 115026999; 152905599; 303008714; 684090569; 743078996; 365804458; 737716842; 581805374; 626757933; 987982263; 827845161; 670029535; 498692509; 370595370; 487234609; 269344736; 43501911; 354128066; 995753311; 925192574; 473304733; 475029048; 917514567; 545020447; 182588338; 316642599; 540035951; 710961242; 742498418; 200711020; 482141596; 528466631; 164571917; 364449942; 638092211; 928867457; 678394005; 117255268; 543985032; 21121661; 644159109; 690671240; 514290553; 751875578; 775725131; 968972849; 410235833; 735133656; 715008253; 364031466; 207104415; 151283030; 23444391; 216083821; 73608470; 467491573; 420886604; 50701033; 831624965; 901547242; 306395377; 920532100; 512930979; 584219632; 262671541; 816160110; 500472581; 359917036; 85225092; 37667080; 874009806; 333750265; 474803208; 939582417; 490443030; 645950492; 283156254; 333587925; 256037181; 926248492; 468107860; 989910206; 434995802; 766214484; 370383737; 785508012; 409728347; 608335758; 510392824; 920361764; 969876396; 636914114; 95252305; 100191734; 36173505; 27805966; 834499176; 660561955; 312717301; 601214298; 48976578; 472893250; 854365496; 687013775; 773108756; 524092691; 983822957; 563185784; 733135463; 169468789; 214071123; 152554683; 467244838; 22667157; 361612776; 242948948; 252024594; 264733615; 278320296; 966951663; 731039245; 197132228; 205967878; 396124526; 572104711; 194711647; 770982717; 649778360; 478972332; 485678989; 126031989; 747808032; 102685464; 897423638; 654318373; 713286421; 42805601; 261475668; 940193704; 608088613; 274559573; 880583996; 877527645; 30940592; 893336236; 369814210; 683937337; 769666312; 955283060; 63840162; 462408574; 843128182; 161046360; 698061185; 980141729; 528676729; 919743605; 891850484; 644700472; 976350749; 96713437; 278410059; 725487639; 872786715; 541185537; 272754980; 677276423; 818277073; 630709988; 552477150; 587882654; 59769224; 176952810; 84975297; 410928016; 892029106; 737940824; 67810171; 195073261; 195157966; 699229991; 936830384; 180098283; 692177846; 985614429; 132708799; 47802949; 849189905; 396463653; 724340207; 603195581; 882855528; 256420034; 907230641; 114614650; 865378449; 54887380; 380315265; 295423966; 594675328; 942021674; 719211937; 282157453; 929531439; 263721499; 226350975; 130912517; 361019368; 536655775; 634210679; 956542764; 395242952; 381757080; 896676803; 803874536; 39789419; 534445837; 649318209; 934512768; 866084407; 141057543; 89557182; 204571306; 792224623; 110354180; 837562932; 781192414; 759660174; 172855296; 138540970; 143289602; 940477484; 867244995; 319323162; 16774888; 59612102; 807984357; 373157449; 983604742; 942405255; 370545574; 265235934; 274414353; 645346254; 856009522; 394825362; 66481913; 222543930; 786061006; 542800434; 346806501; 189450334; 826953360; 347159917; 518762996; 836791944; 998740850; 712499532; 315831163; 757727979; 723627023; 387537087; 405816256; 577825543; 69360811; 61929574; 620518498; 786880442; 843535719; 215843910; 897220267; 511761079; 956738162; 912015716; 122989910; 628348925; 293239366; 202666848; 347050567; 686699606; 384236781; 345352557; 819954936; 216552392; 531106131; 249911840; 555205344; 366954680; 819926029; 622726900; 185122681; 441409960; 971546689; 758698717; 209327028; 277196068; 651920682; 852911804; 851535604; 253828078; 784488503; 813762030; 774332440; 367309249; 152868437; 75282501; 164225170; 672823555; 1230038; 267859240; 158682053; 252715353; 911371111; 922560963; 450537084; 319324917; 703164389; 487141598; 827642598; 614296453; 193382142; 740785872; 168669451; 215317641; 553899248; 442078367; 843495411; 991934280; 500692530; 582647689; 932908371; 603150283; 475490546; 863569191; 139042763; 631362140; 773855432; 9150349; 129297103; 566197830; 153907030; 932373923; 906364255; 888814144; 426871596; 68518236; 237186696; 851825653; 156323578; 691105797; 822812352; 564102818; 216579488; 834504136; 800457605; 498649279; 563118693; 325257047; 27007110; 446704535; 519911842; 101115933; 481204166; 343590592; 543798202; 459546572; 236313195; 98056285; 548627976; 53277049; 718833042; 394320418; 765983229; 616782805; 793202281; 972154404; 313073578; 602423570; 539068897; 525574887; 870524230; 571749019; 172333482; 231328568; 145138809; 177214316; 322689601; 291869508; 676869190; 358501339; 96898989; 157525579; 981044687; 561850784; 963306212; 241399009; 764667128; 389517295; 967327681; 783301124; 180762432; 159116051; 53140745; 873628167; 704300289; 907604399; 403961346; 389835228; 498822546; 40954945; 200880142; 33479471; 294838480; 710211435; 100342333; 602333477; 455056551; 781881911; 308254759; 508430053; 5811619; 645688052; 723960366; 189715197; 318809790; 778488277; 670258603; 31951275; 927419314; 533290433; 321403497; 523285899; 52449590; 966096408; 177759055; 865018282; 81622668; 53304684; 779766787; 708840784; 953969764; 876506150; 516318203; 650674743; 700953952; 88103930; 957683302; 419298108; 830577308; 975580626; 827142080; 320387144; 526836597; 29675036; 638043948; 876121399; 537475455; 838568518; 75527340; 526262929; 896382073; 323725624; 466350507; 780919481; 430973228; 663369859; 553516764; 530961408; 277393522; 385454956; 222951035; 897813165; 665881060; 714712819; 950662016; 988133715; 175817449; 67193695; 376682613; 43277371; 657764447; 903101183; 343298758; 962624195; 415635200; 351011256; 723966447; 873769944; 388429630; 13211224; 459591479; 44341284; 126689855; 53775432; 540743190; 618571597; 119466451; 541598416; 99115196; 56357955; 413990134; 47114026; 937861216; 309558882; 577017282; 889544058; 741327943; 687227320; 650325684; 680958775; 759428777; 332205975; 78157991; 666818073; 582620429; 356943533; 411443297; 432838758; 816701474; 820291493; 847076025; 340500498; 91072411; 835370134; 512167732; 93246501; 358154151; 463171905; 401954336; 950885536; 718594046; 590903248; 277825683; 892830411; 390166379; 246405220; 433094069; 148845067; 232825918; 735310337; 432196201; 690821613; 388400107; 304900480; 442482405; 89895880; 977623098; 42632262; 306259543; 156945412; 721975735; 36244449; 626415551; 489809637; 241735711; 967709573; 178526721; 678570076; 73046032; 741033635; 792940510; 859190055; 841603056; 101452188; 383715960; 319715800; 86082595; 729369540; 868398080; 275258298; 20806708; 788471862; 988070579; 904501400; 338957186; 228987994; 863180072; 309462935; 681344246; 52548574; 620255515; 610051515; 229579350; 949618550; 815092042; 15544693; 990598730; 745206334; 768638460; 341951176; 246999699; 697590418; 731754856; 897410496; 783602124; 993543742; 843978476; 77242337; 151664580; 767954544; 265176803; 135080949; 57778153; 15989824; 289866931; 763187548; 218544593; 368851616; 490372082; 556536560; 659385009; 644648856; 624934009; 852920475; 178585496; 93269012; 792279158; 626340418; 551593359; 828850068; 222906042; 90202078; 356581464; 823941997; 340442656; 962443689; 306595059; 938400478; 492371426; 646455238; 377297038; 594095724; 109499173; 824210190; 43538918; 963847913; 435756906; 317075841; 431717018; 545368972; 289110758; 121606890; 230597099; 615996798; 634782985; 296357464; 247311045; 150859256; 556781281; 501871284; 800756672; 225363557; 896298536; 916710734; 810603388; 225785540; 217332984; 206577415; 688636890; 197320106; 936177002; 489409898; 624688510; 15647597; 88954419; 412171864; 50788299; 781072320; 340716411; 42999228; 190020789; 100972794; 432571848; 679114552; 603703787; 302924522; 332843169; 644145079; 560866840; 972035087; 858543619; 936276974; 929923683; 725480141; 473141804; 972352876; 154679073; 281581319; 686767561; 177096450; 221606952; 482362079; 462058513; 145474512; 857278040; 187410810; 764104147; 399195264; 659198386; 937506584; 917357643; 323730959; 300884011; 866312733; 59161809; 588259172; 274069139; 255213666; 582434311; 794716601; 376594002; 700150452; 812245969; 472467418; 238748949; 289571551; 797979105; 90676458; 922872360; 458354469; 153918366; 466901206; 185573410; 720109808; 853347799; 600897957; 120599403; 767167948; 473012115; 758560286; 310257459; 161937632; 127245634; 784637798; 8668123; 629596857; 346645041; 769340481; 161101631; 489576036; 853522805; 718338868; 451929074; 260756934; 518247939; 525530986; 248032360; 659303699; 328496966; 291402796; 854196927; 448073951; 724520338; 837970643; 626030502; 475092838; 531889594; 717769313; 313796626; 64032398; 612360496; 313452720; 336533847; 279346835; 472096512; 209723547; 165099060; 288796504; 963924989; 900188869; 602907121; 13936698; 403960352; 317593859; 316591141; 806742973; 745423713; 802654433; 993442541; 546609605; 193435676; 602596315; 635340616; 67957998; 480932293; 818607463; 412768728; 223145945; 144487039; 387282628; 833313625; 97252252; 707135113; 780621754; 30927757; 855372443; 965059448; 415807168; 755798169; 838249432; 199066597; 545386750; 905468221; 844429459; 147588490; 432917297; 401383514; 729378535; 610922360; 246774922; 540541383; 203352131; 78353121; 767430862; 902524987; 477063845; 838043718; 906869364; 152354697; 493099362; 127743859; 544889534; 693951180; 524113252; 16175367; 302078648; 948431688; 740840648; 920866508; 915245961; 98793287; 606943341; 712694501; 427104626; 663725009; 460043604; 805269167; 804683304; 87338534; 539643585; 440225615; 484916745; 337761147; 621600906; 547105259; 523074099; 844047046; 314783860; 289374155; 778508458; 538209616; 388854342; 342280142; 123186818; 759325582; 160844114; 124321021; 775467813; 808122631; 273677482; 518086767; 990466808; 496801143; 754694823; 974740016; 885653911; 578336499; 654342763; 644257834; 655163207; 401621333; 176021798; 287926135; 43204708; 831423388; 321357599; 143685336; 134204116; 236698490; 668535058; 369570131; 436149821; 329419385; 540431909; 243946530; 810433653; 143248083; 709237482; 128323008; 275571363; 835131299; 431633455; 3137859; 434789999; 526274777; 305083313; 179386838; 806655088; 389673255; 149659963; 155835821; 107441218; 882276540; 54952432; 846956364; 501596261; 213629046; 838734053; 931539474; 81321963; 742889824; 401903147; 354305799; 604073447; 291506371; 232742838; 183490737; 591568244; 975373824; 344935720; 649512796; 915607973; 199640661; 637585586; 256401026; 868336324; 696870181; 313834403; 194576840; 372391102; 56547008; 559313365; 73217677; 568692122; 2737266; 399757504; 426127294; 613535367; 518268268; 851191055; 856352722; 928902439; 132977089; 734024529; 185110733; 115191042; 391229883; 900796327; 848922482; 360840917; 444861647; 152573478; 657920186; 480909196; 419994257; 985967052; 493396870; 543167596; 404058236; 610003986; 689301469; 956190190; 3642622; 322806197; 632511215; 984662546; 739950445; 108944566; 398244127; 65370022; 455851812; 696124046; 276407443; 540438809; 870275117; 321188772; 954332780; 993193066; 654465384; 507366353; 264459737; 763856328; 978147303; 637992358; 71127048; 845497107; 78207973; 63046799; 925882285; 4678668; 249983234; 766543285; 967521086; 324393253; 458584729; 139191645; 229830864; 699518186; 108051555; 503749896; 171193052; 570336694; 848971477; 590789341; 164655376; 274264200; 411327140; 748563986; 859007589; 737746812; 293856511; 521586832; 108237995; 485790990; 485020165; 788008671; 494001489; 323595632; 973256087; 768385986; 596104068; 317427254; 910436217; 424723997; 830212616; 480918870; 970926712; 160933902; 642444783; 110918310; 797368988; 44893382; 207597971; 835605505; 608645587; 945869577; 894817945; 153569903; 228862572; 602188290; 750639212; 547110227; 268501203; 506082177; 477409251; 763523760; 240418075; 956728620; 59558283; 943872697; 480843629; 592139544; 284917784; 523911111; 702010549; 336778047; 221783608; 72742646; 166667857; 325639320; 995350168; 894633936; 349629171; 257170309; 476727980; 12387856; 946814259; 531660713; 499214500; 136626082; 616992215; 295496237; 726388216; 555249273; 64982015; 346466020; 415262015; 594299419; 178516571; 623585953; 113982326; 840622394; 833536949; 272136155; 813797179; 499936856; 760042666; 307721873; 60810073; 894985141; 106370919; 54447832; 882944523; 194613383; 820374978; 484794694; 375195469; 737743548; 737001698; 133788582; 65202996; 586717815; 717281852; 437187949; 142421237; 64276113; 646156054; 898318102; 200292977; 154615367; 723728563; 265624535; 420202858; 278049583; 272752942; 796041896; 441014103; 297732232; 539720736; 300425584; 53309009; 711490559; 640327592; 244413655; 375655484; 476701381; 567254973; 408757339; 810428487; 265126937; 124486577; 901884481; 232814226; 638133154; 942757132; 910805816; 293361528; 616013719; 139945919; 562186919; 266744048; 653630512; 56851206; 60951514; 676913292; 565865689; 724660163; 141868000; 149146142; 277840828; 508009037; 808531970; 511304672; 103609052; 709515171; 513528138; 83045695; 816914904; 686111342; 448476860; 874642883; 125084247; 464592964; 563092022; 638999481; 1604651; 505929596; 462580833; 167097441; 69912596; 4997298; 727560348; 882106167; 630735045; 697050309; 868899940; 895984747; 737782465; 73821733; 499757138; 290822470; 831392938; 374740277; 454200764; 379740965; 197165590; 792792255; 630486528; 121254878; 890423016; 47664943; 919643171; 725812658; 705042144; 199915761; 330011065; 118291944; 8464491; 184061835; 466566699; 772108671; 254161855; 986055577; 59417387; 829626253; 263991003; 556163962; 572103513; 935121868; 822714470; 268921629; 49947668; 288497195; 736012263; 477669661; 318533621; 276740459; 340309788; 89582039; 685085237; 908705857; 661282170; 387404597; 221894240; 517162683; 837768779; 873538714; 126555284; 186046551; 392409127; 265289305; 133280389; 395806360; 239296596; 670579742; 690567807; 938409901; 785568990; 916114038; 965536741; 94218658; 966299964; 569994716; 34062965; 724460403; 169953664; 874333688; 720515895; 968194896; 568886977; 572680516; 778675080; 427658786; 698323601; 296533918; 678327308; 18183408; 622714840; 708675916; 124724639; 26013723; 107835341; 747583869; 409143626; 342494344; 106143205; 420382749; 549748743; 391107215; 756388941; 405364195; 28835429; 520347455; 106225697; 717580298; 608969066; 685648214; 379733475; 72809735; 560468763; 725779892; 784558702; 44678500; 197107108; 53372176; 289385492; 798377626; 524649099; 219438706; 385443054; 182601337; 602299447; 732655657; 306359239; 520585293; 374743128; 492169519; 320460134; 39853754; 724861117; 850435464; 349803196; 659613652; 323741517; 466301597; 237336818; 238439606; 129736117; 576854922; 429519199; 282410270; 908529486; 804482055; 38545303; 398854293; 156775062; 899356288; 974540524; 773860217; 822920637; 311416041; 53670501; 661247680; 970181506; 363470261; 555970489; 573115249; 625958653; 143439888; 113401391; 924234445; 905450553; 110149582; 809524990; 672343712; 139933652; 822394195; 624160781; 726770014; 859362478; 663147276; 656523406; 791360051; 799897721; 547201576; 468161953; 607085981; 895046444; 302270533; 659943919; 17209080; 21556307; 108615266; 925960068; 565325203; 578323636; 776226738; 955186673; 814749619; 374372813; 678872330; 869185848; 454756168; 196569508; 133625416; 490911059; 65783430; 140148074; 129159592; 349375243; 267752960; 55340532; 889073931; 87034383; 45651745; 625289635; 466955304; 763985607; 986665356; 673485980; 689424590; 781149041; 893601578; 749049857; 34906576; 537310413; 863136218; 351623714; 518388743; 642915804; 187604080; 655306030; 34401087; 712128353; 456199668; 517255924; 259178711; 393213645; 856824142; 675189376; 389336567; 429243499; 28538754; 834526290; 219988220; 565621489; 41093376; 166833757; 884704084; 91668076; 874839814; 210621794; 394398552; 202510634; 362685312; 426866008; 983253801; 709882798; 478768536; 72429126; 904484467; 218297951; 932147194; 926371645; 698649517; 516491235; 433641877; 575610104; 980407389; 772104505; 275291366; 454114999; 596343783; 993337401; 257481715; 279568177; 555193064; 496446775; 965795534; 472159185; 805411717; 251218896; 266289913; 898153140; 51098938; 181774214; 663612009; 803357422; 61386084; 473527014; 441499200; 204268996; 807133992; 937491280; 677280175; 406642783; 688249301; 145041661; 390205972; 323217351; 5683955; 952910262; 19173734; 419701617; 211611007; 29157460; 121445978; 165232685; 303846859; 209737183; 399600244; 566869275; 141780625; 971621914; 637419163; 257021914; 553655128; 762148360; 853509109; 760239517; 502525775; 74553975; 256858597; 228098535; 365679000; 785057392; 166256966; 359233879; 616195367; 289326620; 317711453; 321996748; 862175827; 625383592; 545569629; 15265270; 501101900; 351606395; 646164806; 516831147; 717488829; 416391755; 815129147; 129336572; 821815164; 905857882; 707609803; 867827931; 313383788; 654420384; 924716155; 398344460; 678281353; 158968085; 796802696; 615361994; 944047102; 869485166; 60206883; 863060697; 932757645; 867565160; 525604193; 85111453; 448938334; 845492308; 77029377; 892082827; 397902651; 972251226; 264402825; 608288274; 98398775; 107999466; 789249385; 309571143; 900860098; 899141196; 960237839; 785652432; 329298408; 133678965; 650559859; 501847323; 87417761; 687794779; 629578563; 593081041; 470041647; 90149650; 695279105; 167220859; 196772578; 526868627; 942180086; 134184662; 534771371; 584609548; 331671810; 155531698; 526757271; 124528000; 770101855; 895034066; 802836077; 653594644; 842656023; 216933808; 473399149; 711137627; 274345806; 418116899; 524128545; 646151240; 592560789; 455104440; 988051643; 98874901; 131914701; 858819964; 145799073; 20390206; 475800034; 330006626; 134777736; 472523623; 600914378; 640324194; 858512908; 849822636; 707098436; 853173090; 121172499; 444046809; 475972539; 118177489; 471994107; 365784627; 265775086; 378303572; 901537796; 347699826; 381250215; 365866987; 616876152; 777310963; 934674119; 357834862; 592381117; 694068432; 425026471; 401498119; 844587669; 760516052; 925100821; 862693117; 658160578; 818470484; 125285488; 935180932; 856763958; 764429253; 485569780; 158735656; 298914389; 658033282; 732580675; 639580599; 285619929; 392673711; 90322037; 352500613; 521927483; 539738653; 849632447; 195912977; 54173428; 52434977; 675905064; 621519044; 128459147; 611280970; 407582628; 281563564; 309103660; 674923491; 738661350; 98763403; 644486043; 111177412; 535748213; 178456688; 334729141; 580832295; 361696526; 775897311; 282826454; 607639408; 233962153; 934543400; 447928999; 833543139; 867339160; 562509032; 497006601; 32559108; 762732268; 74440003; 939857152; 690786118; 731993577; 921985686; 881964558; 122048537; 406030698; 948014362; 112268705; 190526896; 262200095; 294800186; 726157902; 319249110; 810780000; 765409479; 426239531; 552359108; 700599379; 343819520; 190208432; 434567719; 328256646; 180594051; 563977496; 264969663; 428831206; 339390138; 185258299; 865190447; 748465807; 175758169; 4208124; 571232647; 540071776; 705349153; 515490195; 291425848; 759811872; 805520169; 493435797; 625494037; 190043939; 642781455; 391454352; 321498528; 596404515; 505591801; 414719889; 996857182; 385373404; 851526354; 381383298; 902650377; 839468396; 817831703; 19225801; 342189827; 467571944; 678393881; 8089954; 378499423; 66931307; 289408823; 565824511; 856922752; 564502260; 434733800; 187974016; 589759936; 535576049; 156053778; 650825977; 56133681; 634341837; 329290433; 966696303; 866176738; 453048789; 339707191; 541734643; 870812987; 638765446; 320944527; 615917643; 340078461; 478570720; 395200919; 430015327; 453772585; 695343644; 534056246; 30139103; 998419430; 233963916; 408256648; 368361664; 146943775; 679491927; 78629167; 393494578; 130752009; 516661090; 829902129; 394428886; 594114454; 379200056; 227996907; 866619560; 27906234; 222949521; 968061653; 445357554; 705094656; 377553605; 177948902; 697148936; 156206524; 958107913; 416341105; 974689348; 342798747; 418462084; 453948740; 862345476; 894818500; 971480855; 417621650; 506634457; 726944297; 388877853; 810162300; 336214657; 493018432; 308344303; 16061014; 689059342; 462125030; 585951832; 711686869; 909325161; 285580765; 564180682; 159381871; 397019529; 125033427; 178588897; 143270112; 906366991; 337934824; 302704339; 56503692; 682998706; 232504277; 595875997; 228253611; 71060060; 882333542; 357020849; 411673236; 585237163; 871575538; 534862278; 453716660; 106127189; 923955529; 336429848; 295307992; 790730845; 389505660; 930702314; 836584897; 676593267; 465328217; 333436537; 269357935; 39406558; 290770561; 510526453; 469736187; 919767265; 245808562; 567398551; 476840645; 944035018; 626284867; 270196613; 834665413; 775684170; 695061807; 13229780; 399799742; 314608800; 975002722; 212359963; 537516905; 371332671; 50733022; 955211182; 321919922; 567289030; 795931381; 681171524; 110660639; 577085483; 689323073; 887177188; 392919460; 195347049; 75730065; 575308590; 763450446; 708991810; 10719628; 841486588; 920223454; 723076547; 780696049; 747206469; 235399312; 403455139; 975567058; 998634929; 285668112; 528508814; 189506557; 756663447; 474524705; 308567062; 726522021; 725020614; 262258687; 747496013; 313209184; 279765632; 870981776; 491522212; 965961267; 443138652; 247215150; 103039056; 291753265; 526969030; 284771233; 542025393; 715861943; 686531003; 229106415; 17306320; 775333142; 303173853; 408347462; 617151027; 658889792; 642987575; 99759956; 453639086; 208935770; 834317565; 251328452; 62088662; 214311744; 252693214; 796753593; 603158273; 795910626; 381866713; 875049915; 299855583; 26796427; 995261413; 977948826; 85347387; 50693364; 723314368; 169705513; 78518769; 338004922; 461357498; 525434776; 301919126; 213309618; 669393286; 860443166; 714973382; 303089605; 210978771; 661869884; 793447178; 753865983; 610363200; 296599351; 365509569; 944793031; 902485884; 208889832; 957564080; 561273570; 549266265; 787643738; 193130431; 699632743; 581522860; 841095037; 511305421; 188239334; 485458510; 829780300; 206038873; 94972523; 733620101; 931989605; 456947955; 22141720; 449206925; 189778031; 445131687; 494639334; 194733433; 617890442; 646842365; 912301828; 594173740; 117873108; 788251814; 910025252; 356230451; 105127475; 541846892; 277955727; 204421231; 666653071; 58086921; 945701463; 982302812; 300391042; 131182463; 118322914; 427747055; 201233722; 813626283; 160125414; 283682284; 655219220; 576413111; 46915687; 871708661; 239185973; 265808326; 191419749; 246805811; 913219225; 592862050; 447413946; 293599766; 702752882; 891428800; 722934609; 587872700; 886958603; 599203313; 663383933; 813062860; 105743090; 794669998; 517796660; 896201981; 191392234; 675817205; 311710795; 442360593; 193719911; 820254291; 203226041; 572094859; 288894377; 902784100; 884322249; 178325640; 54440734; 793723255; 845076001; 398349722; 512832904; 141390358; 305682791; 840087697; 830512874; 894191021; 201764948; 841049275; 679505429; 424893202; 981061035; 830628823; 838888126; 18331805; 842405636; 330998004; 469729597; 240777782; 184195169; 938499026; 592202073; 887556894; 787408350; 516696606; 321641263; 996341223; 417034105; 673173549; 63561355; 225321493; 89143979; 757598142; 411181452; 142904570; 260155785; 512411045; 49799876; 1476666; 994866743; 148629251; 328341302; 222308253; 263875691; 182464477; 908466702; 636232771; 775862025; 274823873; 806845316; 969383372; 261457522; 156449515; 757475300; 184319976; 944841740; 137305048; 610271382; 46681366; 170802223; 111678616; 370272733; 8368336; 950163906; 547420321; 636624270; 126758613; 892760073; 635170383; 530963466; 199814110; 379281415; 78765178; 324001909; 505043921; 93425771; 510834232; 143800369; 987117703; 431046710; 850913935; 174378698; 323625660; 399319005; 826410753; 154545983; 225052182; 510148024; 404186794; 186700667; 152542711; 23699799; 709910676; 863669688; 462735961; 614203064; 713291034; 830499772; 339149652; 284875556; 308491292; 466545837; 427536830; 798395949; 531302424; 283654336; 121242552; 41643204; 381164628; 204449576; 575821928; 192301967; 608711724; 934836920; 868121146; 129875372; 577522712; 622646982; 58813729; 296635190; 81035425; 254151878; 993587324; 815270728; 77271901; 380157581; 971522559; 484845202; 922284634; 430399751; 798038903; 972003681; 177194969; 643146642; 187059252; 114589680; 518614219; 369259915; 334631095; 531965641; 566659870; 631608090; 743006179; 600544954; 659718275; 769859011; 846880655; 943264530; 515796567; 803104440; 635810146; 159060670; 738678137; 669396473; 197650020; 796899563; 232759414; 488057121; 375357953; 448580537; 752253228; 169513716; 463296522; 352140403; 947011520; 531872899; 959037290; 817345344; 698599503; 721632651; 114081525; 380636937; 65150967; 869082887; 320845218; 29229435; 604028497; 942531185; 975120933; 720989189; 635825996; 707061016; 185200321; 871777234; 563548610; 811952901; 902205133; 417496129; 603487083; 581055799; 189584018; 745850042; 945541349; 893340135; 54182444; 600742066; 333559225; 378958195; 669867962; 874924805; 280227448; 128028953; 986536245; 763394039; 110198855; 427734517; 953107770; 487948989; 550540502; 92862681; 867689131; 251559940; 293048614; 282026084; 360689892; 999286919; 268081865; 287227810; 940148688; 471316912; 181131666; 232666076; 188074824; 454813949; 970740601; 303568794; 467462736; 477031739; 669338548; 966128379; 722811079; 800735784; 6538219; 535275281; 402462427; 247591480; 613588854; 633484693; 201695730; 882920648; 507940102; 875495940; 371507512; 778395105; 836305085; 832167626; 278220477; 692752982; 672886908; 793103394; 202020296; 303006845; 695459619; 483170546; 698673619; 286559263; 893595737; 813777204; 185673457; 933172984; 831655135; 138735033; 448040911; 652666699; 204613170; 5492382; 842922450; 275303003; 544173006; 64418536; 823712873; 500448354; 357209295; 519593904; 375555631; 781686821; 383629858; 710261736; 231158140; 126593220; 568764558; 202364344; 401961048; 905025154; 345591710; 864611387; 130667493; 377945377; 576073452; 502479732; 377757179; 696281921; 817982671; 214163622; 402107446; 761178971; 65994307; 391295278; 666931448; 739356003; 876544992; 511660415; 208828199; 501141668; 343099021; 457946110; 536436818; 685991290; 279625077; 193024461; 227668906; 437952891; 195563297; 354340281; 418472814; 297949839; 709322637; 368239410; 425072301; 747063408; 183438024; 319528034; 305071488; 685874390; 708287361; 333521756; 445411404; 887886868; 757471672; 208439709; 932148833; 990471272; 892360416; 859201856; 69096872; 586640706; 813823847; 556803089; 784218790; 79487678; 352852440; 968842245; 374117984; 285778428; 932715932; 857821119; 845106740; 317941791; 554804816; 374108892; 741475428; 936875819; 61308171; 688188261; 717026960; 330656478; 443454213; 179896350; 522970004; 143124704; 951157748; 500210502; 785977592; 391969017; 340419897; 488926711; 28724308; 558085901; 704932967; 471959853; 56028894; 378345877; 788281975; 811415298; 345291851; 689877618; 560897514; 735353325; 409139438; 370495269; 302898187; 232204811; 437774930; 396148470; 942244096; 10647697; 25565753; 110478724; 86894995; 896214138; 364667500; 400200358; 334172208; 275169438; 509281400; 372962949; 948180805; 834206081; 675390071; 842728472; 518615266; 129823567; 378163107; 704119106; 635934147; 303923299; 892038575; 585825437; 691281593; 639961528; 376179961; 702997435; 835113437; 781887710; 641584406; 632698971; 970676432; 659265827; 549084803; 575666392; 797225740; 12932379; 385842655; 267274603; 880883789; 230338137; 513227115; 324570632; 22218947; 421791298; 974677136; 681905162; 785149434; 551442438; 874460584; 264337014; 723144518; 146299440; 808965511; 754268964; 448555105; 701737974; 166410046; 528856151; 663401605; 103935013; 816478583; 161000152; 222553981; 320993873; 220806676; 453660539; 411447279; 111705795; 204233889; 929810853; 586796753; 352550337; 713594001; 225298581; 10139490; 400498627; 964247425; 425953274; 350077507; 872039229; 597153840; 711354406; 615753269; 671822292; 619482799; 247695605; 954579656; 580806371; 336050476; 674162247; 227988867; 694189603; 969692937; 65699568; 2252853; 495787372; 709000758; 321929569; 562248196; 138031867; 766357780; 299107657; 254513001; 753560646; 387810166; 58647563; 454403831; 583454184; 993957826; 484351279; 729012276; 824480785; 958859210; 296058351; 800997881; 181514233; 422449096; 764720857; 217575730; 956153070; 28881340; 488547202; 124643294; 692153839; 566659565; 306145080; 153887057; 687307998; 164594580; 477999568; 718325532; 625710386; 966928188; 970847329; 762307727; 154611275; 587221436; 949724266; 8034642; 976435744; 736207794; 559103851; 546569843; 512957462; 35125294; 683331008; 17054060; 253160086; 344412146; 162972071; 459310226; 649008887; 109671513; 365167071; 744452107; 635996250; 70698565; 245870117; 425237399; 166235817; 334753954; 650399335; 113402260; 330999614; 409994455; 60161567; 788407317; 300551843; 578253985; 297147924; 33916060; 862186143; 286160439; 362603943; 725249791; 160841872; 147207102; 795761685; 342826869; 221102975; 774477722; 738484014; 290102242; 852279608; 619709733; 781661300; 891450446; 100538881; 362554822; 707244154; 392108875; 779511426; 533960079; 911735270; 829472093; 434745693; 282441396; 803863267; 914367555; 916918019; 810891723; 697523243; 589774057; 463010228; 662701636; 618880387; 807690646; 284327105; 525676001; 228130393; 417768587; 413963185; 69745103; 9059251; 906708345; 965048229; 323571389; 98520415; 449088234; 82754549; 791308737; 518523435; 849599974; 670938269; 396818745; 186942677; 119848070; 309464255; 941796416; 334888484; 683442591; 815876166; 445722969; 84114950; 250346948; 613319340; 668298709; 432076958; 570116792; 25832953; 132508509; 957726849; 114179669; 124834221; 323348368; 745663429; 106048038; 948781195; 721580145; 34475102; 274065723; 468036484; 143572659; 528469374; 737262227; 77265938; 381585550; 330425918; 348099133; 507673072; 973273373; 217828574; 507938442; 232078079; 537604600; 877839647; 131963796; 84042627; 98155903; 20311724; 310740088; 520008671; 745446088; 147611840; 89691120; 273029009; 57190843; 665067058; 222778708; 41475109; 694574024; 73031119; 160364593; 585912843; 980504727; 829703109; 237193717; 176006782; 238457798; 322125968; 703119909; 923650724; 343607399; 281995439; 143551721; 301404160; 262202505; 15384442; 559127777; 515148167; 165714895; 541567525; 544839256; 800815474; 109559114; 981516955; 961329928; 626823592; 963282452; 102571986; 11314559; 110111081; 405311188; 944276432; 602571993; 23910740; 375404658; 550708696; 693093481; 500011428; 887210255; 710224558; 251281437; 528965060; 175082312; 606132787; 164565941; 847761205; 366002822; 490735822; 857324918; 905990016; 477652478; 898554901; 245539280; 30848145; 514302620; 561164019; 468295002; 988303116; 151073026; 670437955; 259571115; 329028545; 544060074; 547391933; 630992424; 531946311; 255161267; 180644911; 370909004; 29341887; 573803485; 519010539; 295540832; 280646936; 149821373; 914046176; 260356395; 699390923; 908612199; 533480458; 801416213; 534920723; 617760277; 994137969; 611916252; 837743202; 278608785; 965301743; 48904701; 338077251; 770049560; 543068055; 49669207; 368302486; 397721554; 548434632; 82338129; 600214852; 991835163; 135182554; 101192785; 14014828; 624483249; 310765441; 474337863; 978883766; 253639946; 864335034; 235069084; 368636636; 716798195; 39156798; 320793416; 611251447; 316032650; 7130102; 300856115; 46279372; 883034483; 594781542; 935440520; 423686957; 905339038; 886657553; 684633069; 118880604; 595284124; 910040201; 423307681; 526685487; 866888987; 57074295; 530580289; 611026943; 258495475; 580423720; 291288393; 588628242; 909317452; 995215212; 395902669; 563569951; 26761099; 280659543; 931522481; 901962795; 955005642; 815723720; 143641825; 678577890; 359251907; 302704454; 391561699; 60681641; 693082780; 586287515; 220726170; 899304232; 289553322; 663983918; 27685868; 653419298; 782582101; 744272766; 19635059; 377698221; 667046423; 207530994; 256406816; 584845772; 426721923; 870423527; 731269565; 142385478; 65779618; 632432141; 126628645; 733430348; 421080328; 162777713; 224423935; 854118413; 851006775; 580775646; 669734884; 280980953; 409783892; 638422313; 441786740; 784039573; 58069166; 125676850; 580457137; 645114191; 795467221; 706852691; 100786592; 341259730; 43268139; 911492125; 130792895; 365593254; 107622249; 988603461; 970872759; 164452233; 887862579; 250239331; 948923265; 266427561; 874894003; 510444782; 358493179; 253436816; 713755474; 823490420; 546650972; 721319761; 433923983; 897577249; 410786046; 825512080; 844459763; 645374554; 755087901; 243172940; 770288934; 98165890; 374072082; 194541093; 347940045; 586952710; 419038556; 643003824; 193800277; 72466930; 508552018; 603220286; 157535158; 552293035; 172169610; 691861294; 905921022; 452886303; 905810889; 621421988; 702643356; 810703539; 11133350; 577342151; 556176130; 980341297; 386172827; 111246281; 262392072; 868403856; 782482396; 3467838; 920572010; 153361944; 304645340; 620641745; 609398557; 231006511; 904045233; 963838675; 197657485; 684115649; 184811774; 296241028; 880501664; 56017053; 178859235; 270370935; 688613243; 227135026; 153644466; 417885829; 746950843; 223498963; 32114526; 329267263; 414031028; 346332871; 266862266; 170220008; 264519711; 636873935; 11515019; 108727573; 252802724; 546550234; 463674314; 172665547; 168190286; 862225356; 195668778; 205187942; 877030858; 884769379; 209553628; 99565018; 90648192; 914297919; 72528992; 515907805; 829025189; 708635890; 214902408; 425019109; 954467259; 673371408; 548447487; 944011904; 282006531; 566780799; 450814771; 976818080; 913010549; 856084411; 629375842; 31682771; 475815743; 930296473; 687960129; 939434943; 620140297; 875309581; 982120626; 255543126; 988282284; 942543795; 267024169; 855292577; 710484688; 244211173; 914168318; 870354168; 572805983; 769091269; 936289798; 867755346; 242963298; 48015979; 314032374; 288712527; 8772496; 715575711; 646945697; 30337776; 775495373; 592609705; 775698866; 376549734; 234003878; 893499151; 372322537; 918870272; 316026637; 872631706; 107099967; 913431542; 464802120; 810236239; 671018349; 683081682; 310692753; 913751810; 82225631; 643156396; 471665254; 663491845; 801683807; 932536522; 463542768; 396591441; 809153293; 20834393; 981260314; 70529453; 194576461; 957892011; 584885485; 949666977; 905318178; 543514681; 650897979; 323448479; 808239907; 848570589; 238288063; 892757728; 973034666; 604996624; 97120201; 583514810; 754274399; 828955604; 864783221; 129123079; 590726133; 130888609; 246388007; 650934054; 60062697; 501338146; 515140471; 999015735; 256367050; 274804401; 83201365; 898147489; 66030660; 74284137; 738562070; 789553750; 674455462; 831251208; 891282104; 79025032; 378306933; 213540441; 740533254; 911765594; 492368782; 929111631; 510499613; 143527902; 570464019; 717212691; 573046495; 98850349; 987492413; 992445564; 342614270; 183126416; 222607152; 754811096; 480955889; 697471808; 912246212; 11358519; 511830582; 906240906; 653997785; 969498193; 708784275; 1651451; 858556920; 238833359; 17259473; 514346741; 506251626; 2188553; 784470056; 217146060; 960204138; 707383855; 185008040; 248967091; 603177148; 961277005; 905390584; 331413289; 953946404; 634977100; 165863932; 718554492; 639118345; 722426255; 726537626; 768650038; 889341836; 877401726; 741061050; 363143289; 845604572; 371774784; 312511153; 441309941; 931195920; 121433030; 801965913; 405314733; 443130317; 34261251; 223852945; 342408105; 257931072; 433094524; 647982677; 476440951; 55057208; 430976525; 882451366; 501340811; 822104872; 482675131; 883027000; 439511755; 690209557; 107127964; 724545290; 897038130; 358176403; 767526676; 71747807; 784770199; 194243762; 788388144; 353696787; 222080016; 378448368; 5800506; 480395884; 124326046; 566945637; 105744091; 651543864; 300464773; 264328543; 875362243; 325858136; 662884394; 543469348; 486330112; 201790397; 714701905; 17471795; 794207728; 323040827; 496210341; 117029536; 757318886; 66023671; 994320826; 390084569; 7609049; 989047178; 929454549; 632175330; 464054107; 154766676; 997499519; 161555070; 210260232; 223206508; 506745820; 537082467; 86431633; 163532141; 550188887; 389529194; 418073444; 630639760; 968549206; 164894105; 170033973; 585163740; 752475975; 789594420; 287979157; 618525499; 674932629; 102066681; 870649733; 782538308; 181637234; 179576016; 210623619; 32649935; 905909399; 448946110; 475516184; 566229156; 129047283; 865955249; 928124079; 690833298; 424898245; 608124378; 290484402; 182607414; 811018738; 963292778; 461740964; 7859230; 146411337; 509321006; 352905519; 675014422; 301328564; 313777976; 307395658; 907005914; 170194239; 638766391; 226463383; 321971013; 201187180; 347210344; 37527796; 764485871; 707663127; 45401516; 867441868; 64400055; 71530246; 992402597; 446152613; 630355260; 549925579; 154484106; 99500796; 450977719; 403552810; 79047693; 560954874; 205857379; 915657874; 119180669; 993561038; 249742926; 992339459; 846621219; 633973561; 734062714; 548436015; 523816558; 992554138; 302131497; 411142900; 545958423; 979659030; 726054181; 610896919; 673441834; 291364559; 195131810; 253350418; 521248625; 597792024; 123152044; 631474936; 891891481; 945434758; 300129615; 223450977; 983093477; 570077055; 72564173; 295593051; 144280366; 460578104; 137977698; 726482693; 619092339; 343304619; 937869951; 395018238; 242895827; 565703067; 323975133; 731964669; 923642172; 667479858; 970650812; 130042204; 924262522; 786690576; 120440360; 193577670; 285263553; 4110201; 112074810; 47469185; 148231887; 110028303; 983578908; 57161853; 192310071; 67030193; 916291040; 791888272; 686739157; 464083780; 431751653; 858121232; 833430606; 368010856; 432034387; 486928273; 9979131; 913370176; 326324566; 579577877; 545519390; 255038888; 74827808; 161829602; 9314951; 820240265; 362567122; 706277025; 937758995; 190923454; 189937641; 79016800; 968720596; 328961880; 774661832; 262620680; 896929039; 289382886; 29688040; 569172341; 785242981; 606307739; 542468607; 791221312; 807291726; 684787619; 998746266; 656983062; 67353081; 629120156; 864036779; 180212650; 520683136; 356887515; 128357978; 280099242; 988755379; 209258393; 744789886; 660257090; 138293490; 168675196; 284800975; 658341401; 96135158; 752175902; 306751521; 58915572; 997143060; 217076801; 2448239; 527266123; 112640114; 323298518; 471813938; 684238656; 298540332; 982009572; 289216980; 928353871; 258408222; 56266870; 202595244; 649227559; 431120072; 679014346; 807752559; 29346483; 77036141; 306830909; 385040443; 920357732; 566291188; 724345393; 167313070; 611467938; 341473405; 468094232; 624830102; 388534505; 599298976; 651276536; 505472148; 460880069; 199204319; 633328214; 75828092; 881074136; 265864206; 157865931; 679949084; 359335862; 562450371; 728788467; 831273476; 584131340; 629221935; 997873195; 612344691; 979379215; 246499147; 233528746; 236312359; 181181983; 870302610; 671574941; 570423193; 87665262; 795002378; 299318633; 724839544; 383776712; 129183868; 352486786; 46122183; 507485985; 516756764; 7000548; 721729303; 637777772; 198274343; 448303037; 697623750; 617520877; 956114185; 274821449; 638170887; 513329047; 800154160; 321489129; 547366342; 66094603; 603171134; 118976572; 501543320; 519239336; 519949476; 389759501; 680565506; 71491258; 515913005; 939744682; 678363667; 85765388; 872603263; 31137346; 635438863; 763708663; 550609368; 906456289; 839592500; 380843569; 983730127; 455972118; 151699957; 926195631; 108246383; 259797120; 643359549; 790562064; 271961235; 286329088; 747495754; 962290167; 380611818; 744986190; 364431841; 293535259; 107988351; 786314364; 624660049; 314933286; 451229666; 543249365; 989891680; 87749619; 195637914; 342524124; 556908375; 159502901; 764868190; 675217792; 372683282; 82545083; 452198659; 176637684; 447083821; 740133772; 54648884; 822680364; 580592465; 95353830; 112705613; 609523732; 982907184; 646503295; 712687191; 99634123; 309250597; 270422358; 179783274; 134779492; 845346053; 520972613; 419184307; 734390729; 658716005; 455183997; 460891306; 446785684; 123769045; 913561815; 103667072; 621858071; 676389082; 434796738; 139835346; 436839893; 948100919; 308322100; 307508217; 12089416; 220213884; 578842381; 991226707; 54267310; 594467748; 444606975; 376215344; 151254182; 643461801; 971841674; 101941488; 892622833; 377990290; 914369003; 431535676; 996506628; 312058785; 72040559; 909693826; 514117621; 713350649; 498275398; 832697034; 530631655; 800437465; 778690036; 594974040; 889990747; 285292390; 590749338; 119253369; 613280936; 686408118; 540132267; 872670446; 177331931; 901620662; 955814356; 410020975; 176518866; 135758423; 214732260; 670228121; 700256742; 329866914; 207106187; 423624747; 313418751; 154182215; 500482590; 771542710; 919125971; 422635417; 196709384; 285995452; 853481320; 401796190; 51134210; 518625425; 148026359; 523389801; 976293584; 740871752; 694349536; 624325494; 616566279; 837831006; 623098467; 851204649; 768618529; 178185240; 615836825; 873636069; 253375452; 72237237; 396388042; 670106545; 317432856; 655955177; 69250414; 832271956; 302325823; 903116080; 273987363; 895895505; 715034731; 281436620; 785337144; 787673271; 58656481; 835933541; 607683662; 587809516; 477688055; 488679437; 348251650; 981417290; 353833420; 163886192; 478924054; 427516455; 921364245; 387092158; 205306404; 658692135; 944357178; 518112250; 390198569; 880154961; 571564362; 950167718; 266212462; 746360397; 668373321; 422571536; 83905542; 594698478; 630376332; 579041199; 471744519; 959995220; 692195421; 635738904; 650086145; 322160655; 497147022; 986532275; 241795070; 613893198; 827441333; 531461479; 374941697; 798124926; 259386377; 153429168; 10054967; 92710600; 297419678; 189027474; 107227119; 847316279; 661576281; 411383787; 462362931; 500860338; 531886033; 705333395; 428784554; 821464242; 918977553; 239745022; 170523464; 796457479; 342187179; 341832502; 881349889; 944946524; 803669796; 24932496; 779266289; 907809710; 318214068; 552609484; 632049945; 158123505; 48556835; 863713679; 677325563; 134902862; 768168940; 730850613; 411743549; 900187034; 925212202; 898853195; 223778832; 543058841; 242000589; 612684545; 517253273; 204429273; 581796069; 160832072; 239426176; 256150276; 15262852; 937369429; 205756336; 280143624; 844798499; 497131058; 385029232; 671990228; 621169070; 500970852; 909193838; 577578510; 546392818; 79609537; 976530226; 156714390; 287036682; 755810543; 948017972; 155329425; 578274653; 503079257; 598465749; 390086486; 120035795; 605005039; 668686690; 600173688; 821840132; 776094284; 276180434; 465619111; 35126223; 208601329; 618012443; 295149803; 646845649; 930280544; 421182331; 46795126; 869832119; 706342502; 583450787; 115894908; 380145207; 570229621; 443901726; 791089220; 970809137; 621788254; 737158990; 112243429; 351504035; 932390003; 658560783; 822060186; 538006496; 259789626; 44605240; 603020580; 233199772; 369059649; 141541140; 5851112; 624932162; 26503526; 915353171; 395811366; 964362226; 762594398; 497752223; 453892137; 25111977; 571215081; 944886052; 413836522; 879526665; 940322681; 813265247; 374045376; 897850211; 732249503; 769240522; 749592175; 532633692; 753914219; 209892310; 91260031; 655684428; 693140848; 651393476; 1566209; 793624413; 375586535; 890588624; 814740341; 648387963; 615265215; 726158582; 705880264; 948504501; 618468393; 901981709; 266308187; 456364492; 79979372; 221506126; 522772635; 345359365; 571808812; 137778919; 933032842; 451369205; 567148022; 132429850; 305200351; 45119773; 789262650; 811887706; 59988970; 139538378; 518305929; 371909120; 358560701; 368624982; 729607691; 554334200; 65794198; 361089994; 771669160; 330994527; 871957916; 264647721; 724965853; 852248656; 358223517; 944170157; 825990779; 994429328; 420343764; 685105148; 830875786; 336138763; 479204731; 837190993; 153665899; 311452782; 152626736; 919786348; 779018510; 628825334; 986571788; 130166333; 712596195; 747325708; 490522724; 47928992; 623624465; 598211896; 528686234; 231500958; 923120545; 784050979; 830234585; 822144694; 293818966; 865639204; 183254222; 499555269; 790030041; 454615151; 224902305; 498222488; 459156249; 845377085; 535326588; 254234362; 458546732; 707615011; 349950399; 114393151; 528840627; 450330609; 586083518; 586401832; 857206728; 645667725; 606261191; 138229959; 977043812; 560195089; 289741584; 522622044; 569641675; 508919607; 140247980; 465979808; 873508970; 61275921; 192658072; 467740007; 122457980; 266775964; 117983595; 481498709; 714164833; 438822695; 682182001; 764713071; 948842975; 492352963; 748794115; 477037755; 770158787; 431684757; 399056643; 175250387; 653977438; 982251198; 791589256; 597077020; 515466827; 660727360; 744265123; 699762977; 468273214; 717920427; 977811637; 17295544; 485412584; 955653541; 946288627; 638371201; 807382042; 507366852; 712687619; 655921843; 322648008; 834997890; 213187876; 821916460; 881863521; 807020525; 907598365; 337455788; 244875674; 772592640; 600394377; 136355183; 746818967; 450692105; 329243090; 603584826; 655176979; 923907009; 779750167; 233348619; 550077087; 888742577; 710570413; 971871168; 552825474; 811433605; 465182535; 430711008; 269897340; 836298026; 245339883; 44603836; 391534620; 715021260; 264774255; 882207133; 314768854; 22791152; 761870346; 744100789; 220324234; 558226479; 909001131; 641011842; 760646560; 595023385; 187315107; 495406312; 363218327; 570798546; 427887821; 607667856; 594461663; 520707277; 807702400; 334608448; 225124083; 591805076; 904497165; 362256570; 656694368; 549144289; 808446998; 579740458; 53062711; 624038512; 547645870; 775629739; 779293590; 370165279; 785685877; 305892908; 195899848; 207496376; 928611629; 290294943; 507919815; 446687017; 732526913; 101492293; 856296892; 432867262; 576186436; 402446762; 369456373; 599649023; 486939074; 425943566; 332647745; 355500314; 757181475; 443834820; 489908245; 221431986; 798507379; 542523852; 392530986; 345168491; 404116557; 855957849; 216520279; 166768853; 713251959; 968367823; 334970417; 181138906; 143364883; 556797898; 261774212; 285900954; 923177495; 652467067; 843522407; 673338531; 954812393; 144515076; 433168616; 100457434; 197777844; 272038290; 840095777; 320682734; 525003494; 898496675; 270007159; 274388867; 461952967; 361650675; 255532177; 134256907; 554429003; 229809589; 880060062; 249872599; 379827621; 548854579; 438419757; 221227228; 394136675; 45725447; 561403176; 958391041; 393232485; 263068688; 265438366; 424599304; 503391028; 635144936; 586177659; 997659941; 650958807; 497990351; 81434297; 925412142; 545062321; 907924849; 154430608; 780745714; 900796565; 519963662; 997685621; 750988545; 42752783; 158351606; 491278582; 811862031; 231660106; 525501159; 633106361; 966317411; 766855088; 703418146; 817797809; 450042273; 932832885; 180641814; 967396929; 190842170; 648047583; 935754989; 336839009; 390924247; 812349437; 394502469; 4590354; 810932907; 299162387; 833092198; 639278702; 822368606; 488403292; 815117844; 454860739; 280604167; 889416813; 781021574; 366096585; 144968181; 127690879; 247742159; 367541851; 780146041; 358295533; 975573347; 516024447; 738184110; 569745923; 840048428; 788601269; 608645739; 786460501; 488022081; 454273689; 492767455; 275381778; 105532937; 874272580; 286153393; 813885079; 784816436; 263690324; 41871146; 252096507; 184848591; 965632287; 252707786; 508358707; 422991248; 373940210; 996029294; 554793251; 340414391; 538487413; 959854820; 133565312; 228041104; 257374956; 16611568; 758518261; 107570607; 867802392; 484042372; 786445501; 766224458; 848739548; 738236982; 824069126; 254494117; 702139252; 395505084; 714422446; 426312492; 312590708; 646254434; 598576926; 489718779; 775084909; 905021385; 28072072; 950517870; 169600266; 997752584; 920390699; 77686045; 651301282; 421435641; 236030525; 896276504; 71431628; 678964018; 484468426; 383066993; 856156209; 611387296; 42864166; 25060204; 85825254; 144402381; 593481901; 935370886; 684463218; 91279349; 605761403; 336422521; 670376253; 377678962; 193791049; 148614979; 417488555; 983251342; 453578822; 730156029; 470133701; 648939336; 479147392; 184133228; 970292507; 669815791; 221470917; 762312104; 828607037; 657412451; 365116514; 353725436; 604147431; 128366214; 165993139; 439746679; 804147206; 834059720; 128419088; 201144969; 424448588; 491966688; 868701518; 915175243; 350671214; 349819095; 473236039; 749619912; 476193073; 755962005; 837969655; 982355965; 812889892; 342763524; 88253398; 27260136; 93131742; 866658826; 427025948; 139565966; 345495661; 397928768; 293399866; 378266924; 528729131; 562356627; 615920294; 231960720; 314550797; 741983866; 827745351; 437485977; 463465279; 903844759; 477581973; 187739015; 631291254; 42508503; 550991362; 47451744; 750720221; 767783585; 563045360; 878826552; 245797050; 92834700; 552250981; 440548081; 772266562; 3255797; 199146188; 876518239; 185820781; 758852515; 924687034; 420843941; 50454684; 745647987; 699785760; 324579243; 195989932; 298093235; 168344581; 103704176; 772343011; 355193995; 604294703; 230076914; 235800982; 965478310; 781189498; 750493550; 761080425; 131097300; 220717253; 668489519; 411336001; 226669116; 864508661; 227851847; 762290279; 495333557; 638229174; 919351296; 670196457; 33657753; 432650198; 646093454; 537383092; 980022312; 598753929; 734787605; 917155859; 219021243; 980022055; 269067064; 776583118; 149094130; 514138983; 850426542; 307520978; 482757247; 268392174; 607338163; 152555836; 507284326; 285929982; 888131650; 510374479; 674431977; 369987320; 451450027; 763924936; 538138601; 690805388; 849594916; 633589027; 937038176; 491455092; 951357550; 238448445; 540333417; 432015532; 69670641; 803556959; 38362808; 603438852; 788071033; 176860302; 187776501; 787350628; 857400488; 694771492; 788923335; 72943742; 348171704; 6937219; 311275897; 725969901; 864749724; 264886453; 270363310; 934876034; 235148726; 386831867; 483268833; 157130996; 142984839; 457063065; 139184428; 302109889; 367171922; 837761235; 549274047; 224418777; 870267632; 208193490; 488285169; 852447224; 507301052; 45225153; 46224249; 924256500; 994390340; 760161781; 76440546; 153425317; 520081158; 317710456; 919349362; 339854178; 905448642; 459956182; 8973104; 100192450; 620445893; 803087594; 754654562; 360026240; 824563880; 131603969; 540891273; 735193709; 994343257; 227720404; 455788400; 393233979; 23111734; 713284323; 478560671; 8298919; 669166660; 911684983; 849874186; 862180172; 311496400; 817157046; 920424691; 540167601; 198968000; 117019164; 518721132; 366496262; 820836798; 631968815; 342936842; 152775910; 680670466; 972402561; 992846393; 485951075; 194100817; 699579258; 730283090; 302263875; 497279864; 819643733; 645523528; 357054383; 332616724; 709937519; 114910197; 830346743; 863100637; 330511121; 451222411; 796152112; 296632974; 431312315; 802269911; 384048380; 852927576; 961942307; 833151806; 225410087; 86895951; 764776818; 34010383; 219198233; 166920800; 372269005; 833376338; 623873901; 854709870; 371199030; 490419406; 436984047; 435252748; 371782348; 728644992; 719645325; 759496656; 547266030; 242712487; 473725186; 166582119; 306558253; 351736703; 482972289; 745605422; 763649274; 848291010; 134521238; 822918813; 70559577; 169118030; 633838309; 287432670; 801147883; 891175225; 509084210; 73769140; 550755342; 806145346; 658957964; 299641265; 62025854; 564456547; 968813879; 432804960; 308698793; 373925099; 320614906; 500718496; 136853297; 738459928; 542130425; 728820527; 444764726; 948100284; 424857548; 832004192; 350652329; 495702710; 709518584; 232724247; 902059401; 521078473; 421778039; 368752854; 859413162; 305228196; 569612959; 119478576; 440939924; 336556669; 261837223; 454458371; 520640162; 439056500; 112851905; 998294024; 78011366; 453448739; 302871366; 339704222; 108838781; 103878981; 64776946; 148823679; 385969505; 520961502; 182901508; 468065929; 351016973; 314484154; 154941739; 455109765; 760701208; 719822996; 816587809; 43960368; 244146286; 625605355; 101149226; 124858314; 82047885; 26907490; 528419479; 18201173; 430420596; 956358821; 389090998; 789721765; 680171442; 984264344; 209885149; 640332817; 760804843; 584776255; 180409136; 138423134; 325709960; 879311377; 47679525; 894576264; 413399275; 959832635; 863640295; 13820699; 300580016; 659025744; 494867159; 933143916; 822920348; 178813374; 759299732; 789471099; 820190118; 496599515; 528007880; 785784734; 8914162; 43878697; 649902576; 917140509; 461088305; 439717817; 810124900; 116815509; 372137600; 834308431; 612644741; 399525031; 599777196; 129949141; 952217753; 171808098; 158692196; 201484294; 856515821; 898348168; 677072565; 518213247; 593385160; 48129692; 587503115; 108953611; 95818029; 390480872; 381008174; 843611590; 787741708; 146334505; 984488266; 86158400; 700151169; 333340323; 396976975; 308747539; 732319739; 111398730; 113517701; 96868199; 192794002; 882186080; 772600199; 138860098; 833178375; 991318904; 679272344; 645755335; 315277129; 470874546; 340903216; 665276379; 541453974; 936499501; 68492445; 159830857; 555515333; 90352805; 942468123; 649287938; 146679523; 168552478; 549284820; 40581880; 315799543; 636176607; 785469953; 248459588; 991426005; 45281277; 364817769; 782737803; 417670028; 200183740; 960650569; 425180911; 902347648; 918643232; 98165938; 665365073; 830330706; 779459856; 620234398; 621265505; 350332919; 360514942; 393320082; 178205209; 363756069; 681800704; 860836831; 412464790; 907254805; 683436192; 386708006; 81966382; 831895588; 438322346; 771335941; 851195299; 262903444; 362016520; 577700910; 524529851; 395853554; 29581453; 514235576; 916323139; 166069873; 552278366; 104787462; 162558930; 859281432; 558312887; 273555689; 926454675; 35523670; 503009445; 384405345; 313391919; 300935107; 775803617; 199983144; 677375829; 255235157; 437308268; 38992385; 691498147; 393760961; 459290330; 570045263; 512280920; 173091726; 915870991; 107987562; 360034250; 511964762; 520548405; 358290560; 507755374; 787378854; 626460760; 344984838; 323262078; 147694093; 415185826; 955567800; 534524188; 298180166; 619674268; 542017515; 498565332; 912458161; 427589188; 218463444; 772691156; 909025008; 250866499; 980261899; 726950920; 957754135; 998664042; 24038709; 177262083; 904723467; 686634388; 710786294; 945460309; 400081307; 142203517; 120528766; 264439996; 715952108; 236130930; 81412663; 360711334; 616911473; 662901255; 674504723; 173898834; 290178335; 199708283; 66948803; 219407456; 799514441; 790629518; 852009907; 267446458; 201735813; 246692568; 88578940; 521331956; 333072496; 808671993; 775564396; 157066897; 909177288; 126066613; 630024195; 119830083; 143172716; 224276862; 374845680; 993832865; 196328254; 778680365; 100146975; 634478234; 470117916; 923060320; 875662124; 329693426; 396949326; 734130223; 875530075; 270905123; 507985957; 747726108; 258393733; 960250955; 650320393; 900663748; 646155245; 447349909; 338573777; 365496379; 499911870; 655192304; 946619342; 860709321; 888012973; 596901158; 161487796; 155253723; 379866869; 361850807; 470434032; 198435307; 390451624; 742197696; 404274257; 787795677; 217164200; 987882578; 558085540; 813496129; 960070920; 79661137; 992813029; 69551410; 821447401; 255386188; 830832473; 140200704; 933279552; 989816054; 794192466; 929962900; 303037916; 825539962; 388030892; 968769404; 293369937; 50697572; 260294443; 363093927; 79610849; 395494978; 620029582; 10447421; 840208677; 61534920; 688940886; 597338548; 962242671; 829058615; 958565296; 170622305; 237673359; 719011736; 205901300; 458203576; 709980094; 452238074; 982797047; 979381043; 255585552; 941869452; 404232752; 658131405; 72855095; 101559157; 28500704; 491876639; 267160413; 140384823; 550593393; 256089395; 868551562; 681505822; 483686217; 98199660; 677816132; 32656871; 773200316; 558203967; 706463633; 607418347; 767817049; 738161395; 81670994; 885981387; 321859977; 735150361; 811633825; 752686176; 425341719; 335446305; 362976768; 14219295; 242572822; 829850439; 986768223; 739801907; 786741123; 53905209; 492954185; 899575040; 354738683; 400346132; 773910718; 787349171; 987756595; 703241585; 466753437; 810102731; 313891511; 127768627; 963055664; 167532012; 139380704; 210757637; 80275374; 725562526; 158612911; 768673548; 399239777; 296046228; 18733021; 259443899; 951401692; 304578130; 361593173; 968880228; 499478253; 905944420; 641956050; 634436054; 872858913; 756246700; 636891894; 143677994; 507846322; 65983489; 866552315; 911721324; 199578617; 138010139; 895872459; 558060259; 836837413; 382085674; 86137130; 48469849; 175712288; 939144087; 844615659; 527693142; 631501139; 264272292; 103792046; 135559902; 463648554; 1754102; 884054363; 593355846; 864901717; 715092347; 337104853; 231826461; 293325247; 8241697; 717840439; 742059191; 63575367; 869761246; 226848070; 832080329; 377080516; 5642107; 170699949; 650518782; 454357150; 200931146; 213628795; 455060744; 629510578; 510463964; 64326392; 572478373; 526014792; 318866774; 834954897; 582861853; 137587638; 220143913; 514485305; 546627850; 315178293; 779178878; 970060564; 834426878; 170969055; 265144765; 49469628; 621147583; 121717237; 164032844; 716776424; 847118718; 286106460; 476259318; 166963335; 845987665; 905718101; 505234515; 436801819; 991078762; 829358308; 388702699; 358874564; 84569656; 119198226; 751879906; 59425510; 53755153; 96483122; 128874317; 785923040; 197760964; 961812638; 754247836; 423564667; 808920603; 552389783; 171942634; 249773904; 473893618; 566004619; 942065045; 345329399; 289859020; 792461122; 100924548; 396539988; 243521503; 291604159; 475206596; 620423071; 780660364; 699372649; 490130952; 191872937; 893361484; 307439183; 483700259; 433380111; 39630991; 327046384; 134668244; 777618401; 127853473; 731602649; 147770991; 880346335; 867055264; 141750688; 94168423; 159398680; 592365508; 258046208; 758684531; 472764697; 230273351; 46609993; 275451259; 638261768; 986116432; 21861487; 438816689; 327259985; 133899256; 848039307; 186421485; 196239338; 751634526; 510698909; 37997141; 136870089; 87051574; 648901360; 151109939; 702782002; 507566740; 295509734; 354496162; 500413155; 762073381; 350949112; 638445805; 902416976; 61864546; 877818778; 612752543; 221352455; 181868205; 707856918; 571531280; 231020087; 306994965; 953914262; 807668272; 740783552; 358400930; 618031279; 964094800; 200899302; 700871962; 627552883; 349930543; 720427034; 324554368; 737330987; 297177904; 767931131; 601237654; 667706333; 510549261; 901250; 984603966; 266067613; 499232717; 459576860; 228652703; 467892087; 377486701; 446681606; 217619426; 961747451; 77623422; 284499960; 863849290; 148298889; 5766965; 53047027; 582129751; 132435067; 67862006; 732465581; 481681919; 154798153; 836489341; 422258299; 677772155; 144079050; 905270656; 153620695; 381513406; 174006804; 642431609; 645292212; 368577674; 512384516; 592924743; 824877668; 12187023; 76098338; 167973054; 4175822; 765694364; 401845221; 623748023; 743269201; 624096452; 802219001; 980797320; 687389908; 1641175; 257560397; 224005916; 5757118; 421050715; 933578683; 550951237; 383393590; 967667083; 691506177; 76074166; 67972827; 224293580; 601375087; 820123677; 354274896; 130420624; 630332979; 260228986; 92988385; 572937219; 542733311; 490100049; 787891310; 21709148; 344331186; 253880059; 329020633; 625679960; 41394059; 137005743; 199797943; 879681033; 926281704; 365239271; 665174094; 413204795; 308451438; 410401654; 855179034; 116432526; 677993097; 413656998; 669406381; 764908501; 762876935; 125969056; 820408234; 511156870; 120717446; 915674521; 950522694; 168364222; 718341641; 89009193; 254773655; 861948472; 842554878; 407836941; 695684950; 225954080; 990153269; 231036689; 907142842; 880675161; 600738779; 30737639; 64753456; 296121201; 387198333; 364384185; 963338121; 804121042; 465278358; 102120752; 196698776; 755377151; 872418735; 795181554; 29866952; 366687047; 560521084; 681577557; 171320119; 218696537; 299448767; 970597238; 961091948; 348579406; 73560350; 939944829; 962888709; 685500516; 240579040; 672799886; 985694464; 839818862; 512790724; 628299; 806149903; 209611415; 104450300; 161704848; 878899090; 567190449; 984321512; 599268611; 36879775; 508565300; 859736727; 926936074; 498014353; 622438077; 375335333; 53578623; 759585154; 755649259; 449173842; 340263663; 36452316; 535071986; 948580699; 27720542; 619965027; 103937113; 710342102; 346355046; 847927408; 312878937; 461969785; 186734596; 402022606; 144666165; 725038312; 261714105; 179967034; 349956713; 228079307; 767557268; 259058593; 556821401; 726966268; 114097716; 538198586; 539185104; 615348821; 717792358; 623589418; 870679150; 633168651; 877468075; 983908722; 941758621; 218799449; 925929385; 67538920; 578159526; 445969297; 108095976; 474125159; 288017579; 660452066; 35612659; 618080948; 916892000; 601316618; 757720727; 269949934; 68199084; 186037875; 895851576; 982013657; 367298973; 664255233; 651208853; 480910196; 428079022; 69357082; 508419878; 403856734; 275690710; 905575404; 700553418; 554856034; 668454989; 30356231; 86803912; 607840019; 815542939; 622216808; 247119823; 424743733; 681632127; 210910930; 721250991; 902313831; 327607253; 988704284; 404030313; 775774728; 312521766; 127537644; 22812932; 440905526; 772569430; 28732923; 119704297; 240063637; 794937227; 854101791; 853823464; 221833202; 37609028; 461274490; 519538841; 708223574; 318122068; 743248294; 185908539; 117759162; 479098346; 725733145; 960128788; 428545806; 627195637; 602246812; 469444844; 196195829; 876901340; 166910037; 652651280; 784760124; 200664105; 893510456; 46219243; 837640357; 864815689; 609788395; 89677844; 142763953; 898949995; 670882754; 682869166; 381539847; 864954356; 650173316; 423920660; 843663169; 831116037; 746969347; 957639114; 577377652; 152366954; 587236938; 819936316; 434949335; 462683938; 35327949; 456496230; 322261150; 989484498; 153591426; 816615737; 324624638; 490646020; 930775454; 320633695; 27672208; 994828255; 324699394; 264102322; 128762602; 951577337; 741879785; 107538821; 192079047; 136368; 44518687; 372120248; 879797815; 15584384; 933528438; 466698897; 214882618; 862540561; 908963326; 94673093; 273026276; 544194584; 748189688; 658497914; 161565874; 927269561; 622245138; 640379728; 967134458; 77812262; 698434408; 307845102; 242320976; 867276153; 128008212; 976440348; 649432958; 294675452; 95885645; 450962849; 1513466; 477524414; 579289190; 58601743; 296610706; 443191431; 102939821; 133760022; 16174890; 404299584; 65438711; 283963186; 14055203; 261443111; 830279042; 636555881; 522841483; 88213601; 897646669; 246858781; 794830555; 509285475; 876290521; 890146949; 336816781; 192072742; 680339100; 455947903; 970547620; 714586287; 221935623; 445788640; 418663288; 169655716; 86305772; 377732984; 443719075; 513386363; 100178245; 316690852; 812831228; 424395511; 713812552; 344597802; 418083371; 511948109; 345762631; 14045632; 442734880; 535471851; 24471037; 865148236; 126351841; 199289363; 314555202; 37738322; 105601064; 973169994; 816071539; 425725865; 219263197; 23554247; 801170499; 520672802; 766614977; 733565832; 137089103; 922897795; 102788601; 14760328; 37514022; 870270148; 949667867; 75663806; 603997080; 825010353; 372583433; 289857345; 929459501; 248591661; 539723384; 987892953; 152400915; 966164648; 75548906; 97729278; 357740532; 94945706; 603470307; 538252491; 583487202; 869329446; 775440966; 716036780; 904197169; 805506979; 411230000; 927249874; 274623055; 709669351; 864970397; 80025650; 310512220; 691041334; 636028807; 452346486; 378966118; 864501115; 585600286; 866911327; 710195334; 290406890; 149718084; 252629020; 486165459; 978465374; 772182845; 741335579; 510452860; 413260391; 846207585; 431304571; 982355791; 356526620; 614536026; 874974282; 535928387; 50945352; 662803302; 698044481; 935586519; 736529289; 54847429; 403375537; 178622302; 16700161; 465501131; 602055289; 802137624; 418783723; 820512994; 763468433; 695380423; 284195836; 988177919; 712089514; 120711347; 20203365; 885958823; 324996709; 796729946; 941178094; 641919839; 416454155; 64852608; 687779729; 319164378; 692269278; 294318511; 24265579; 745306824; 310643251; 413268661; 380440536; 441088151; 998029552; 810777697; 220051058; 453239696; 939276594; 913826228; 866401893; 562178425; 726502014; 190790; 182907004; 226544348; 709417742; 315196883; 996758676; 604040966; 77003213; 323873716; 160923281; 688797098; 625974536; 533128992; 286817373; 806447309; 674883756; 473859315; 680156199; 955553605; 563873175; 715289405; 741930801; 419956180; 435139337; 692750488; 151598665; 314976398; 939996163; 565804938; 719743437; 114848735; 551376072; 37788132; 454472060; 292807419; 135190474; 310250368; 181425178; 640990782; 235290540; 315687328; 994403922; 892816795; 360959184; 314515598; 769906139; 658529107; 997344471; 559037456; 187042385; 33441802; 320405371; 378274234; 701689249; 370730844; 458597005; 31647897; 499673416; 305944895; 342889882; 745299825; 54989551; 252324367; 942134927; 865366748; 880147043; 85472432; 213757478; 559088340; 524813245; 697106555; 235808096; 974865539; 629432578; 262470819; 312597995; 145352878; 270253473; 281601943; 773005029; 359051247; 251214385; 811379355; 481267910; 38896873; 881894689; 196215345; 877153584; 244968508; 498225681; 430382083; 200896771; 772278013; 829791905; 806094000; 148255458; 171283794; 170088444; 352692220; 789933496; 430866825; 600657910; 259762747; 99723763; 849822203; 743742943; 778703812; 201040914; 903397582; 8634915; 876048101; 221783715; 886375285; 121913480; 455296511; 632727766; 350087416; 738097003; 988750606; 915520177; 147606819; 865063990; 438244332; 258839073; 116491429; 915828762; 413663958; 62294999; 196005612; 644802175; 873659572; 568091089; 176123254; 401278698; 522040568; 723763651; 391116815; 58279614; 503731559; 879106417; 323445773; 998978336; 296742413; 168673808; 291977504; 580766503; 466546115; 399127808; 821213187; 975374074; 633212003; 636011935; 379306772; 880316891; 465452763; 573863068; 511391672; 215349216; 943510852; 652792043; 280359799; 765269848; 112097141; 881657054; 721613107; 950798335; 529210349; 170008187; 345750928; 230231424; 458069181; 554089564; 972157932; 733726735; 724477718; 520860235; 807599967; 609247742; 634809555; 92091249; 298178693; 324468711; 787923786; 903732639; 581373770; 655898510; 936168841; 943285154; 731576905; 370072686; 333131550; 790038413; 576800840; 983118315; 9545579; 101161544; 38709964; 791425228; 999552009; 112104949; 661274944; 744195930; 31201295; 537498003; 641445481; 260299856; 156044053; 225211225; 827117935; 785075044; 962100503; 465173904; 716164077; 410081794; 130559159; 726316186; 985526352; 715997034; 807614462; 199123787; 388222968; 679057825; 570646718; 195487218; 439127122; 659151257; 842068991; 876046760; 154028716; 52940731; 435712807; 991523237; 263739758; 534655279; 987991414; 282466413; 707320567; 813992508; 526312862; 440673102; 980076409; 943432306; 267964628; 85253830; 501710756; 238878772; 445965670; 587454850; 741894036; 750578503; 464208721; 742311075; 509377580; 618787213; 152273174; 651255116; 955605931; 110029630; 853453626; 138090005; 845105451; 824042533; 377439621; 600745380; 190983269; 338226774; 297898359; 646792454; 917310354; 255721909; 399363664; 758712792; 706264999; 279020095; 240768125; 146096485; 319349662; 317032616; 736397875; 203107293; 315753416; 200023280; 274188817; 677768309; 926008356; 111411097; 913574053; 908883082; 794622060; 112404619; 968884502; 474221650; 996598046; 222779187; 832049730; 655642900; 509837417; 104382145; 454615217; 875894137; 841699415; 292781145; 621726784; 361151304; 481130359; 948064567; 776559324; 511620232; 878356810; 869559988; 183052101; 122407479; 337147442; 570951813; 660611510; 177232061; 949773392; 576999176; 667406324; 616766488; 405907553; 891549446; 528129091; 372564206; 843853193; 743875402; 699154631; 3728906; 192427827; 127577299; 623330746; 629202123; 285113953; 412911188; 559056730; 865739546; 487159641; 850075372; 74225778; 514575643; 239848102; 36167014; 844193628; 992212681; 405446563; 896720178; 984885374; 833244098; 23002433; 848668870; 581795576; 450649001; 952819865; 656286429; 192077096; 16714468; 573919626; 137775460; 153498686; 843873498; 396282421; 673617197; 825015589; 15158435; 230016774; 613748661; 83907757; 12101194; 799779380; 592994721; 133509040; 659440368; 474927252; 166104181; 179245989; 912614947; 466417455; 698129598; 227555592; 406745222; 357861664; 460196880; 560358206; 328963702; 658630354; 185115662; 12588910; 115249929; 154907273; 39238338; 798456322; 636076189; 249091271; 504352516; 642112893; 261690667; 321584151; 532999921; 769430187; 320885915; 551223059; 780871092; 958142560; 579066385; 722188340; 783157363; 75348747; 483485658; 276995261; 377162859; 889799808; 433515996; 456180893; 34054517; 683175067; 709847001; 396703449; 476419604; 727972314; 313480325; 966154525; 324899959; 196321782; 883481755; 706985211; 839631356; 845799034; 874378702; 904024642; 547273148; 878608836; 24592016; 86400766; 287648511; 485566089; 376508053; 520576788; 683396146; 383115663; 748919806; 850556146; 591096817; 229376747; 263440731; 694607840; 604976986; 496149818; 151672659; 895348190; 156157254; 500830004; 313656027; 954052944; 313378385; 245116555; 128878539; 498194156; 977995791; 9179908; 258949498; 494211597; 632001267; 162160023; 26849764; 137915720; 717759610; 57834200; 193095056; 384748678; 212914555; 187628942; 459389821; 66906177; 870647564; 520576219; 699846957; 172228385; 460378520; 410430349; 652933927; 977982210; 433974164; 143282888; 459014005; 482080737; 639138800; 76348095; 201907954; 618568443; 859782429; 922448719; 941642798; 525016770; 829450362; 738365383; 780381484; 15566440; 622975522; 131477002; 363473338; 907831944; 923966421; 175526301; 665636052; 642154260; 536437243; 653275870; 102892721; 668764292; 625923375; 17235872; 990514918; 700031043; 507825924; 166335487; 389974967; 754921276; 15410219; 384878083; 167745662; 320285234; 999589554; 648172509; 187809486; 321609465; 948992267; 389541319; 545306838; 300333080; 797377479; 437126453; 579125238; 630531701; 34124535; 44432382; 326260208; 513647302; 64899699; 205025603; 96672056; 168444566; 336819364; 949081872; 25570228; 609957027; 916068675; 551740208; 388862007; 754814810; 331392991; 210654832; 374497639; 269905365; 646975743; 428433851; 408546345; 774731210; 457544413; 415447228; 900545933; 417073843; 395708827; 908205165; 298067916; 605663224; 862952292; 319835730; 29339629; 372224836; 84633855; 712239672; 460360892; 594352828; 580757309; 820097489; 785895564; 593800909; 759161834; 970747139; 74518126; 59310720; 844841797; 457578117; 978488584; 445724587; 687541942; 779738474; 552106753; 872194395; 427164159; 132688135; 551869447; 518294865; 515514177; 712987547; 268018263; 693663735; 857464273; 290672050; 827559110; 867316964; 433779250; 729298227; 925645017; 280468498; 748100007; 34342459; 876449610; 620956833; 739423238; 296635864; 318434975; 153570483; 321083806; 818883935; 385570821; 444429816; 230208698; 107586150; 360010742; 121973798; 407271237; 33716308; 741745098; 25619487; 286551254; 562991503; 265406628; 940408978; 285363106; 196126290; 881543780; 639739069; 619510246; 973472818; 562770281; 230395630; 649416183; 787678418; 943291450; 181004619; 702810206; 883522455; 429569016; 256666062; 116576853; 510938443; 955328657; 609525224; 633213104; 962743649; 884977484; 949410652; 299709902; 607336615; 677586775; 571898555; 802233848; 556754061; 660612774; 164686710; 72538203; 15743479; 898559574; 70298781; 820538137; 806007450; 464979272; 11729107; 76448403; 938626764; 602374900; 206143541; 116584108; 934331780; 385695320; 586434624; 302460713; 707999398; 126804709; 739359188; 599442871; 598086236; 913296963; 481945159; 91143098; 764339847; 997291907; 387571584; 623425779; 15219512; 95183113; 859644165; 615177011; 963807200; 218690730; 651554833; 120183226; 152888446; 394763769; 497167888; 260520495; 459145904; 203772259; 164562603; 986315090; 216730162; 410317122; 406478990; 692391699; 184455770; 566436467; 404833569; 100748957; 302034717; 402218867; 417923093; 660426531; 236121669; 574210073; 607910583; 604729770; 915428440; 756576781; 109334213; 202613706; 284114113; 120430006; 547252931; 808743496; 524319665; 472004981; 862979789; 793755043; 929087563; 839513656; 600601352; 53609750; 48430095; 154918174; 305662563; 543706531; 260870792; 938258793; 945981360; 175281123; 967726971; 571993476; 903502395; 320956129; 188844197; 705827323; 970023184; 329835052; 609890730; 67504262; 203642753; 226264053; 229986421; 732561368; 981748095; 788337510; 547395112; 290376748; 515903893; 146280411; 215341408; 214621074; 705059859; 182933886; 209679274; 248294991; 395529905; 294956998; 638172920; 276031904; 398823438; 936418395; 385304031; 468540455; 430802930; 814195576; 101958716; 351343432; 661476280; 574578333; 669979095; 201284737; 853609654; 218395119; 187527139; 503732125; 776179057; 710904304; 954037317; 462526767; 9363696; 562507199; 565102876; 523833944; 426715730; 263154708; 124845798; 317488876; 386662887; 445394145; 194780153; 471675495; 950697508; 95919351; 104254091; 964876396; 675821321; 734157083; 237985842; 481375249; 107137786; 813241838; 154979674; 67859096; 414798235; 151204026; 148028332; 474274608; 525899639; 387973866; 486835351; 132597307; 529894295; 858677519; 374958234; 94391860; 722804890; 6283233; 81167880; 914976374; 508438608; 405875239; 547620279; 302900305; 60452166; 707631188; 209398027; 80349536; 16111172; 814464344; 694728741; 239359263; 431354255; 954411278; 637973687; 695899906; 448664520; 333112807; 32780515; 614238148; 611081379; 919555535; 768940456; 860253171; 948388273; 379077075; 31191248; 677346860; 796119318; 291346737; 11022551; 126095195; 668836490; 707211409; 897534939; 374399960; 929390576; 764174143; 150323499; 620844294; 671674318; 780677573; 443778428; 663583394; 77396886; 928406973; 179897896; 550683596; 560220114; 424601567; 83213011; 412315973; 355052149; 330453686; 903921245; 981768209; 766456527; 853643819; 584051731; 535009250; 652921278; 400015173; 304725983; 435634293; 760866705; 613681116; 503306502; 102427690; 395253925; 752789066; 434327707; 993499715; 545455215; 908742344; 805661753; 758752295; 194448106; 44051155; 614277559; 308190113; 361214834; 289063811; 423487738; 327897978; 93483468; 101305108; 781397609; 36940286; 53923503; 993676693; 977136717; 493860226; 186809598; 958911233; 865531596; 963905101; 403757203; 789100927; 650374880; 341790280; 143617155; 958155419; 944465258; 833408346; 614281708; 280644542; 428596523; 215641907; 393078711; 274358971; 843271526; 263114435; 580448050; 888554498; 69663760; 224456741; 378348229; 400575549; 175603428; 407955538; 994129104; 894607140; 534180955; 693243011; 323805130; 593816603; 999509848; 458726229; 78363806; 871615027; 238545790; 566910404; 164875911; 847913148; 155033886; 890649291; 420230378; 273598488; 136651078; 403034455; 457573253; 625290420; 369134075; 118972513; 88952743; 292342164; 11879516; 274166601; 873356290; 558031998; 515598114; 356447692; 122972162; 158089453; 528641357; 637344387; 452429901; 932414022; 100746593; 868503880; 733354667; 630182551; 727531987; 474792577; 992176435; 509128871; 472289909; 180913422; 954526850; 40892348; 643743171; 890708651; 518760537; 305227017; 519264630; 157673080; 376857428; 172600364; 756447837; 57217709; 301231781; 342830890; 917237930; 731825733; 998596740; 460595081; 742201819; 638318387; 852533653; 420662416; 857394897; 689876567; 134092269; 62460721; 659474663; 695190750; 954216938; 275123182; 267097198; 78124117; 963225932; 666699681; 127684556; 441050005; 93841393; 931216447; 680396817; 177527270; 786606270; 381660141; 601996792; 950755851; 722234198; 506619620; 925317214; 601282674; 262040676; 65764054; 871712071; 154531340; 611894450; 33526667; 165776186; 608811783; 768041518; 652120931; 216054150; 502670312; 844598754; 719188256; 734736754; 214804351; 318095063; 339001649; 668528630; 437354387; 374317415; 280490696; 8402771; 583525900; 142952813; 497402140; 550577531; 97871920; 402208797; 256639464; 51901328; 688230539; 38617931; 450357585; 381194778; 175529080; 602653999; 477644383; 681590139; 47010903; 491365124; 351996654; 752657505; 563128459; 51047724; 409136212; 365536175; 778449391; 519234004; 383721628; 745965090; 733380170; 855347303; 219235262; 457759636; 506047680; 261789807; 452330831; 590730849; 570442628; 292313337; 271530765; 852759670; 541767254; 46736526; 3526122; 941736274; 215833866; 428731246; 400036320; 307250349; 444452029; 599222804; 200253817; 401603762; 614467046; 591506867; 693533038; 845774161; 944088074; 603457196; 273674949; 578901838; 128165652; 504474402; 55980713; 555927710; 812800052; 674080017; 724028412; 36509195; 504114620; 641817379; 944243245; 832589758; 844374579; 843370732; 841491400; 414643625; 786260754; 416796677; 786268412; 927434512; 913792454; 749210312; 800947126; 926538377; 519822111; 108655348; 194971637; 596541711; 355533495; 11121376; 72830841; 779831659; 491271370; 884692845; 701516054; 805516542; 28994794; 951973247; 656444411; 93380524; 657758518; 41769286; 582031208; 139005745; 114331346; 357433876; 674546608; 180968563; 977909030; 468391120; 790337313; 564289451; 77062520; 824930143; 330248673; 61502732; 125362727; 577959674; 917675478; 200358453; 374982080; 72828093; 887339428; 801620158; 417167417; 94804801; 451104066; 932170943; 857732836; 932416371; 881876649; 874941684; 119389878; 19143656; 798417116; 112132568; 73689316; 433502206; 603819866; 172442695; 382856549; 530223461; 991402499; 151307720; 962190821; 579466119; 954733558; 143837780; 384537829; 783374621; 722292641; 353121064; 596073003; 21130288; 667341769; 635509088; 375299918; 208241899; 507137062; 729407605; 777203274; 953134920; 732079978; 103030848; 264443087; 345333179; 205530407; 639242239; 75890531; 923764931; 357274641; 962127764; 785249883; 589735589; 77685529; 900513217; 401834886; 782081513; 550641764; 347649355; 63648774; 42473079; 753368100; 506613324; 272055031; 368895168; 826172441; 768120256; 958842292; 331359212; 686316735; 26586791; 907079293; 114606242; 40712690; 62951746; 499416360; 75126429; 878417664; 335023755; 911848326; 682278097; 982674221; 232828300; 12173682; 256028523; 513902684; 461973504; 82116152; 643641776; 251002494; 421782412; 95873735; 318800181; 752821889; 437363870; 439910773; 90346616; 562082216; 283132044; 89916784; 599859217; 719104436; 953263632; 36222327; 870229560; 368717045; 699212590; 779134844; 728113442; 769315313; 502974809; 593802086; 198494907; 775705600; 563872884; 639728245; 683406368; 990348097; 751733707; 798294319; 504162113; 415155032; 836912820; 999267407; 11860047; 677721270; 689325339; 420073710; 124771960; 60650918; 193203151; 190970303; 262703370; 215059379; 483987805; 562291078; 532959625; 154667402; 280885105; 776967665; 896538097; 917605925; 957944418; 92992736; 499703623; 483494772; 517312660; 801132488; 830875902; 163635611; 409789702; 640653632; 811396420; 206262502; 969099797; 706353886; 263875078; 374246096; 131812928; 484721152; 202547968; 579071862; 311714164; 388212401; 341364160; 23650398; 227993409; 661605476; 881446826; 138313795; 889138846; 644725334; 762618689; 76174270; 581232686; 866080505; 669263145; 1324666; 86323789; 580084250; 114131107; 882294971; 372293024; 813187966; 824021336; 172731897; 882234330; 836276993; 315641880; 783492509; 193323119; 192710091; 983199676; 855943641; 37696838; 724387477; 247352229; 775447045; 980960065; 103311349; 101086741; 435599433; 860824524; 723256510; 578704398; 289654539; 740743338; 766150735; 486755583; 230193663; 203791119; 909343999; 115214148; 301664791; 857368323; 335746820; 358969532; 731049214; 203201371; 355514671; 725149691; 657050133; 122932308; 242021558; 373775892; 961425505; 880592232; 927104959; 902355756; 965660006; 594244133; 727400455; 790030483; 399636519; 722317118; 111237539; 639121746; 543411210; 245411248; 4942904; 647998655; 610423205; 341829751; 449494838; 681546222; 15116317; 553223134; 132367023; 311555879; 509411899; 958503259; 387742132; 897321224; 775165682; 451060255; 389934557; 219871745; 249701027; 878467604; 588257441; 899970551; 237057919; 583585388; 595586637; 145210603; 757459293; 575323068; 83225276; 685851693; 547014394; 169090207; 158113987; 998779352; 72290739; 496379030; 864355719; 505597227; 380090748; 313829525; 276710489; 582526121; 965127125; 79946352; 283290785; 836860506; 365309736; 712656531; 720462907; 291303169; 48026431; 762642853; 638755598; 430461183; 404729394; 597803063; 570984202; 925273496; 46045204; 781277739; 904415856; 86025224; 11670901; 102157489; 353808716; 273676938; 669699740; 472121917; 629345854; 617387242; 116607220; 203717965; 864906411; 342990453; 956868027; 873833504; 729528558; 712813102; 521590537; 227584805; 585504707; 165877549; 652537896; 435006498; 275755460; 821275172; 690025747; 217518635; 459327624; 269252331; 813789994; 218418610; 760653847; 694250070; 702875987; 763549813; 39152798; 585546813; 807954360; 193325149; 533788390; 814801484; 407986234; 421982907; 550368461; 43828533; 83751042; 410166544; 633066149; 289880345; 335997119; 742165865; 591600589; 896637886; 550276803; 303388699; 106032940; 514236885; 741000; 604237519; 321496191; 168434609; 185162926; 485181552; 23617647; 698588112; 54253714; 986407181; 56165275; 687762445; 865152976; 277525633; 623160713; 845331689; 497797220; 514872812; 730478703; 356838649; 624497124; 152525167; 904212609; 916125136; 69771034; 168790133; 504739255; 545088549; 689680166; 652433114; 655983999; 830846104; 702709904; 913054211; 919371142; 849633618; 120627396; 457753104; 364998938; 835239255; 996591933; 611546031; 857010311; 246198527; 424943625; 655288037; 644419410; 53488720; 104836843; 504564215; 631471630; 542612804; 444472060; 136403629; 491460448; 658721853; 986070055; 983949898; 597379483; 872244865; 489779403; 548894891; 432610091; 644821129; 819087040; 212376528; 826271184; 603654476; 115019471; 340607034; 989244913; 332234024; 943449127; 994740666; 867950388; 967129375; 55314299; 892981474; 154214207; 11463568; 867004311; 493614465; 913739809; 259281808; 593379218; 28509559; 651684791; 518785103; 488338085; 568714035; 875196709; 186039453; 437109186; 463072603; 213459497; 864866136; 346778592; 510437946; 698609308; 251733587; 42812709; 760842637; 672766285; 844205204; 229507204; 599175422; 219536638; 217345449; 496521777; 465432866; 309977207; 344462087; 257622084; 941517145; 103725308; 734046005; 662868872; 94089541; 498074970; 599737135; 477638143; 137328649; 727590847; 659588724; 132045023; 643770359; 909457032; 654043891; 617327258; 167893636; 579195537; 10691652; 584781631; 588668147; 530848613; 191327968; 715904380; 614335872; 809847980; 236506545; 107284798; 271829006; 963386676; 746107473; 84896757; 684731363; 794085041; 759028919; 774948909; 859737868; 859205060; 290990286; 763695877; 459887838; 712667391; 877411266; 368902430; 810969208; 33103615; 408322565; 417830264; 699545402; 116131757; 85573496; 257315905; 100684833; 731637438; 455593208; 387355876; 879262786; 141981784; 196692756; 984957351; 138195184; 580972917; 42659366; 498673329; 513074158; 224380357; 101252167; 258107032; 273903345; 138425785; 452374425; 568057057; 203156788; 22307072; 36863752; 160164783; 113116010; 294182565; 420394520; 497074044; 820893932; 589865405; 308510439; 607037209; 163550500; 547699370; 525331274; 746596083; 290758568; 600885994; 885404701; 967846749; 757686659; 681404931; 721960121; 148255659; 921983383; 986662720; 418991541; 891982381; 299495534; 252486659; 767031125; 82177577; 176788952; 228718162; 860458684; 408282963; 463396357; 576681349; 758768101; 380002407; 880473303; 188974776; 427594852; 54651603; 188363690; 884404092; 888691394; 884855296; 88377493; 569623669; 147487508; 652371899; 477640239; 218994763; 900722460; 308463869; 619848495; 887742107; 49430541; 237916230; 144524521; 155321613; 848896400; 643731533; 276631978; 377136194; 338516979; 44782683; 59551720; 22059063; 11417117; 568287128; 365510514; 492781724; 890960618; 291204431; 264500704; 44796355; 612988664; 649894723; 266429432; 930410395; 648366574; 332149948; 672702468; 414226126; 416546410; 100174965; 640614963; 679059635; 831229691; 91318813; 124795674; 147493545; 715838549; 414436248; 827880429; 244903351; 179062113; 543748725; 61368530; 613691224; 600688765; 814433781; 591303154; 589357245; 174399789; 741087890; 781607323; 926959056; 185722169; 401635318; 620399877; 269209259; 365840486; 446785275; 710003014; 960880742; 331611378; 136835597; 226822348; 702857273; 54918201; 603734958; 487211313; 558458664; 942962874; 208669945; 872458532; 582585513; 198486654; 794821080; 443706185; 308022316; 62874883; 496708371; 707407335; 286558131; 892833823; 741090574; 48766459; 148905351; 459387068; 747950176; 593002195; 164451411; 868360538; 953808913; 136345247; 954067342; 306546891; 103396710; 675239335; 235027438; 295474443; 522598855; 321444862; 658887558; 535420894; 261440519; 181136431; 715042432; 827000337; 274656634; 944852299; 106944309; 850578292; 753972383; 876727356; 194638349; 433433428; 725143282; 500186622; 32008858; 472126443; 908041509; 696882483; 348196647; 57415631; 830056181; 915594092; 971963923; 496780280; 879987140; 51195141; 171194056; 936838190; 495283579; 527075414; 954150524; 692886554; 996501084; 704287156; 210295922; 828761003; 384231296; 282845331; 285457086; 109520499; 38511264; 153700676; 57970481; 543760032; 38431498; 916529700; 443972221; 698730293; 830156018; 315498345; 808117606; 922284120; 304771371; 459897213; 70984710; 184728616; 10228356; 37157839; 112706015; 483268013; 291665557; 393474139; 655926617; 115962472; 517021692; 739419744; 41465045; 899653124; 697028159; 960901846; 457655354; 660749561; 119191490; 591962542; 158620584; 369936259; 72850582; 211770581; 46388055; 566385223; 950796385; 772219010; 500948779; 369092085; 436001983; 840986407; 408691860; 981125374; 418408985; 163971902; 688560997; 925582038; 183454932; 399957002; 375150239; 399624638; 373392627; 640263578; 825277396; 16054354; 228315716; 687325047; 866326612; 198071754; 257593554; 680076376; 424479921; 615979637; 40691332; 223048730; 267236346; 912684453; 357107196; 251264265; 184787957; 116699880; 297429752; 80644218; 349605765; 466946975; 162614080; 765983625; 144798283; 621402039; 139143498; 61640338; 299452707; 947239294; 153112370; 951084603; 252341642; 9256144; 5363779; 982550865; 597581359; 967283876; 890877554; 697179344; 843193203; 207665948; 764300323; 849739076; 760520068; 299767068; 329258394; 490910741; 947232175; 749670398; 414260201; 447269635; 384071473; 198344721; 457533806; 367621769; 76813418; 932664353; 183544970; 484888238; 717742795; 12363692; 95203969; 457541127; 786197880; 55096675; 511837946; 950402891; 764416409; 939488939; 783600437; 36863071; 770809938; 206857269; 145838751; 998236392; 179572012; 31377073; 633152837; 796909245; 442637029; 551047345; 695245511; 962759979; 344088121; 273989884; 83482427; 172445160; 996751338; 848001052; 677851105; 133077309; 606828062; 951615373; 374784151; 34263917; 24001323; 536306379; 800709041; 541045274; 819571038; 492339749; 199821325; 686077938; 372067950; 688598769; 618945936; 881882647; 602682617; 136293800; 897920575; 105352081; 98388145; 720875509; 170803946; 908966878; 881000269; 873510117; 241520735; 824215315; 128607399; 7328897; 869085043; 537136169; 388904416; 365561659; 187471024; 247702166; 384412518; 467967661; 201322007; 914340918; 39485020; 504049779; 36338550; 930843788; 296604556; 29102342; 331940126; 273597875; 909741412; 366274775; 407747767; 59921482; 812656938; 233090663; 199568068; 650922184; 508017943; 452059161; 135479816; 463573106; 814317210; 811024958; 595072358; 601544086; 138171329; 198688730; 969062974; 578494166; 954128020; 956380917; 890500789; 17961335; 458453453; 98762315; 949598717; 26464658; 797161262; 870066732; 502845543; 983025902; 49799171; 724108195; 730394506; 761752756; 278091107; 955639156; 269440808; 646829544; 783707526; 438096453; 554399815; 313713944; 249442422; 5875001; 403361200; 744454165; 94950522; 671063371; 59416481; 353992202; 346886243; 872913344; 851921857; 725274791; 907008788; 847312803; 267778449; 889269255; 605780001; 112589874; 889957533; 58696463; 296169882; 902577312; 963848818; 650796079; 86752935; 773397549; 192512408; 275922211; 106272291; 984163166; 238344217; 325875518; 618422164; 926535852; 75339954; 28026045; 188773680; 222912981; 888003171; 30218660; 709373213; 257371274; 956838066; 124135810; 749158049; 334947817; 682420113; 736980145; 866424571; 802482438; 955753912; 903762957; 688702108; 990045998; 838149313; 475317011; 855384076; 424876854; 705039228; 205102928; 682506479; 712972337; 553785874; 996820573; 235289221; 378645217; 250940883; 399635808; 323421299; 441279243; 993609738; 847127772; 264914189; 571461192; 968962449; 890836679; 473281102; 690131248; 527428776; 212296459; 881000475; 743153208; 940788300; 401440071; 797245299; 25892000; 671009057; 223776151; 810672109; 647569985; 341837708; 66369105; 241384482; 770241753; 962057038; 429073655; 586033020; 641518709; 187349297; 498045289; 799077624; 335151242; 348793284; 476985267; 731057990; 925248003; 203948978; 880754920; 18211685; 527036867; 83509930; 154841882; 899257668; 934332126; 966161573; 658932734; 336405341; 625522751; 400965072; 635102902; 981038382; 112438657; 183658835; 350373066; 854175534; 928050500; 220216765; 345756417; 213596285; 694104845; 712984122; 177769596; 101378097; 755259014; 170232172; 33010391; 445731474; 682313753; 210792749; 928219640; 161804515; 457070794; 243940709; 999422485; 62357675; 677305767; 799566305; 256366758; 718561800; 522447283; 892431174; 752779620; 839630734; 674473247; 821141736; 445696039; 482277838; 556548765; 547963877; 919917278; 843892034; 68000371; 98039503; 788502953; 652469514; 290428525; 79920572; 152777653; 124202543; 647448126; 293476546; 58790877; 826287245; 97612527; 421205260; 89247945; 303822970; 943397257; 997205025; 783408089; 497937870; 156406501; 976012931; 41883256; 923680944; 726879100; 135907818; 648462178; 19614846; 263271018; 213150468; 758254971; 730564433; 331021598; 792387378; 480776255; 805791403; 4147998; 863456112; 565002724; 64224915; 273736960; 189435554; 450840036; 713361719; 752310638; 165416133; 735091636; 302702511; 786327632; 539024188; 457886859; 360097980; 699510643; 365842122; 839542393; 302392290; 207008214; 654995679; 347838400; 45513521; 118570262; 565915016; 80321779; 896314320; 947603528; 550372470; 967487582; 663764309; 340550734; 457350875; 283962262; 836242737; 899452089; 883792457; 375476994; 520154675; 309461717; 24695042; 805151601; 744420282; 560860255; 958235923; 319950784; 4370193; 330861832; 43669714; 966847495; 986196204; 962607216; 574118904; 131065891; 806912120; 288497184; 342711042; 887158421; 630123214; 521313688; 105636722; 2655171; 447884461; 715874520; 287760155; 584477795; 139499764; 821503500; 913451682; 437232054; 919748915; 438077464; 328464159; 950269223; 604842971; 219119524; 677563304; 267585330; 130894815; 447246374; 35188383; 579934949; 575501066; 754879699; 408057314; 582495362; 99890820; 369111510; 353840634; 520159517; 996319034; 330200363; 505910364; 490358340; 98573330; 746774513; 976089548; 326261148; 211606290; 301974681; 32453376; 187628855; 706220154; 266456704; 771025575; 767156255; 131509619; 133099766; 36694657; 143759499; 72916699; 260778307; 677234543; 616996725; 511017898; 91795485; 841354865; 101665934; 716505498; 116654216; 52955875; 737284050; 814413935; 486575248; 9225306; 377908004; 506155221; 173173061; 718908532; 111904304; 654951314; 326477433; 487309868; 287417449; 198145797; 45566920; 218344393; 594358997; 876710482; 511420617; 954631763; 29166989; 850492719; 423527165; 498115909; 225975364; 393018627; 414532528; 676434769; 906265432; 815693708; 46597158; 881720419; 301463197; 433345913; 332610144; 559850456; 156461569; 12364193; 722681750; 596073144; 491980362; 400314950; 791799445; 881639712; 144914710; 87980605; 679558406; 382980567; 51603628; 704923440; 936828833; 319327707; 988402311; 336575481; 817964043; 484540266; 588690096; 203040295; 86302114; 901868979; 715704755; 535573880; 565327555; 944550021; 675048032; 830134317; 929201513; 107313110; 845175834; 693359038; 831439917; 245571616; 458515901; 776932486; 923331647; 809801747; 148157887; 309997250; 743596641; 890587055; 785609264; 822928229; 802216009; 771666979; 807336347; 680293660; 394111599; 979158359; 929587947; 747251656; 338936103; 931886508; 238626038; 710454406; 181847399; 307705614; 765709447; 281852735; 485390733; 55271567; 445314599; 926240899; 746405811; 568999617; 276280178; 894251877; 972011301; 995999422; 744453707; 136487775; 348528870; 952148338; 265626889; 600721204; 63965895; 547567387; 141707828; 925880695; 149632675; 957257134; 442855224; 16447293; 1012486; 925520772; 615924640; 274750649; 176715892; 713624269; 946377145; 312371273; 149006194; 322432733; 649099672; 700606494; 359837420; 626242082; 962897007; 77221009; 242672328; 308460184; 550656049; 733454960; 687614371; 471679182; 155730734; 526123019; 167330397; 496370944; 385114149; 583451367; 566123946; 765616622; 625192242; 170722215; 566506152; 27656839; 420519921; 822770969; 203591839; 385178148; 31031511; 395592333; 299559057; 399287312; 64907625; 188324304; 539492040; 771584479; 205842279; 191054617; 709549916; 808014420; 778809154; 645115392; 805745505; 20498154; 923634785; 186611421; 688362263; 620067806; 685896917; 405011648; 760372680; 799720770; 877636012; 404230945; 327663549; 675135255; 982073326; 536765066; 118344189; 197461494; 646990416; 123959371; 79407616; 703044508; 559255963; 547391222; 176414949; 748131916; 419779476; 55241075; 114522351; 63169617; 225702573; 829262729; 57812417; 987729207; 671635717; 543152592; 471377320; 854427222; 844195203; 803553350; 834449193; 257710068; 495310482; 150154245; 804767582; 894590612; 302024537; 542022378; 881232818; 153927464; 831522290; 629504277; 777577052; 586819313; 800500688; 310613952; 285434120; 322352221; 659437239; 312283533; 74111071; 101577379; 165657841; 365909806; 850205639; 815014067; 32749396; 407814276; 820957496; 714794593; 667682930; 195066389; 49183169; 575931182; 277368613; 927261022; 99554512; 824188652; 804066039; 629022409; 777274462; 609370460; 314672508; 382293768; 641968462; 855704489; 845958760; 486783107; 261072940; 383242908; 667431563; 687205682; 623897420; 397771480; 633160544; 210814186; 639679568; 344980745; 650612714; 380594087; 83191867; 524526447; 892456242; 691605294; 657434012; 226656536; 265859394; 743384154; 789521566; 342064142; 984342519; 181939781; 566268652; 24851836; 950682048; 627323616; 380522292; 89355887; 959947357; 372772991; 848607859; 79388386; 378993121; 262566860; 581817379; 133746910; 473050738; 368229370; 218813564; 885729487; 409589929; 579410253; 507875756; 448072226; 392139462; 111479524; 107377107; 589529402; 257198334; 817061131; 311255115; 274780460; 145040133; 998166310; 607028316; 582180129; 441308942; 102938014; 247731102; 853945771; 298227442; 221264617; 511752174; 766543916; 50499969; 165772526; 384219624; 115829091; 2367421; 311011379; 472805209; 561281389; 474171987; 748418254; 28335805; 136455944; 702837490; 332639635; 383908050; 855068671; 352844135; 535891421; 562272017; 770537657; 404906905; 244769737; 303337422; 511037117; 93527889; 415022741; 794877517; 679957810; 424438605; 320701136; 94298694; 166317979; 174593; 389544816; 307592242; 239802673; 266491468; 115991046; 895449873; 350083675; 70291856; 265955930; 424096749; 257592064; 456360793; 684307654; 991028140; 351972866; 458307761; 782666670; 265645204; 156066507; 23868504; 853497616; 22277401; 265352303; 532489728; 842814903; 291253772; 876669091; 961336801; 552523548; 97451596; 847767697; 313408264; 546622186; 288930722; 678242749; 14715369; 603212967; 281694459; 962390248; 516800226; 335841047; 124004008; 202794648; 260290609; 492978206; 566058267; 93390045; 822338887; 608136009; 556739265; 658400649; 516167877; 625693403; 858689197; 948956101; 103606966; 442631603; 599235113; 821452389; 489106798; 587224174; 208161660; 660159015; 792635278; 629279545; 50108619; 251405775; 218803989; 642134028; 531643663; 803782501; 126116728; 674571683; 542427750; 953196139; 569450726; 945241715; 924221720; 494771469; 448635326; 949470686; 688917131; 379596859; 574429623; 654497424; 713697258; 275009290; 989527747; 346253453; 905547881; 5328474; 350699177; 27455170; 164384294; 611007739; 255539035; 82610485; 352191779; 520221923; 166323663; 584103542; 391559100; 606355616; 874384028; 520595192; 136510305; 575669013; 121931018; 320268548; 717590146; 887668689; 790321793; 321318078; 264499229; 343358706; 485899112; 464062975; 553556753; 87398585; 508931938; 148674359; 392140704; 649563745; 311852860; 486518897; 665997808; 869675394; 418139858; 772482595; 227760986; 522808311; 469733987; 362412726; 639895434; 580947112; 853456300; 401366332; 217909416; 397304907; 194218515; 227275450; 959184033; 42692381; 223239278; 51074202; 820382348; 144304974; 424949994; 333102520; 977514706; 242413955; 45922446; 793686541; 809616010; 736350201; 94882249; 907619930; 18000221; 823814338; 768347536; 448380996; 684827590; 744682623; 519354778; 612366425; 207375437; 867384610; 355762829; 955028745; 242280132; 421739389; 111930569; 61578250; 692623722; 176819069; 421864372; 656829903; 907963139; 434635513; 648142759; 233755860; 711255407; 556000186; 312114340; 696497583; 525604982; 583211195; 305270208; 924006671; 802073061; 385907806; 232882645; 507620552; 742376418; 491133034; 979290930; 684667940; 845526429; 174114750; 875995657; 694252185; 507814305; 392505782; 309918901; 138217640; 143915156; 714178550; 910922611; 72681514; 543728367; 858805609; 901069307; 421235914; 347684762; 11326293; 638713344; 710891495; 866878958; 949757627; 828463297; 113326110; 237854690; 40645808; 581456260; 182621670; 868910465; 892934075; 485407748; 661436725; 657885281; 230659343; 439634489; 287298576; 529481175; 336648287; 880156439; 567987037; 639159217; 924252316; 71372731; 512096368; 125124149; 192388811; 770682452; 333730594; 131779816; 248590847; 220932961; 817238918; 9112328; 665310274; 21894608; 945469452; 406772486; 558859579; 584693790; 453283447; 960593469; 386002234; 782677814; 567303967; 418504810; 253988569; 760607100; 957424428; 115498050; 800415877; 97065195; 91063595; 922688448; 599369805; 632179925; 938073734; 24934265; 347256350; 935712743; 8892311; 428918144; 781329861; 193466861; 399056844; 329353385; 442521379; 402003438; 321254447; 250407839; 317490634; 156271654; 52540908; 746767154; 988158222; 952822414; 391446051; 364744932; 891163783; 916575741; 137590607; 322304420; 429546370; 868171115; 848724281; 350917578; 27187418; 638712021; 274537567; 198954824; 544242543; 471665800; 108113253; 468410363; 223915439; 544651337; 27566092; 884705913; 824399386; 952793361; 166727744; 272460793; 176216274; 260702129; 541630648; 257763599; 379569049; 740745560; 537642830; 601710073; 993889590; 232243982; 577904117; 477009042; 343034145; 188106603; 860151377; 65969627; 706097285; 933103743; 409696314; 862653049; 745287317; 564705448; 49919969; 918651739; 684984753; 371448031; 282351455; 648622124; 971513679; 776167169; 374782771; 304061260; 203620868; 960948075; 413714610; 487424637; 354915955; 408170403; 114535677; 83399390; 87837462; 315024123; 741381059; 652355331; 300857269; 511742102; 245333041; 874780354; 358883510; 421558622; 154921053; 909647103; 379251750; 112948350; 275332583; 20261495; 648315402; 475794599; 72172620; 559996483; 267803103; 772042821; 503791142; 137152032; 808331643; 383253068; 329702180; 621861527; 865335763; 452284975; 94654169; 618503811; 600539069; 55019338; 9199585; 136976437; 890106114; 310509021; 469679665; 159245851; 16694420; 629914913; 814948333; 971679887; 156800207; 76389826; 837415856; 673454053; 257647030; 348447079; 998546970; 410983318; 824166951; 633453973; 134189369; 25951043; 119926895; 506605979; 303809204; 319210862; 731961940; 77263495; 515734132; 379863116; 725039007; 677975235; 375872688; 277141929; 487024445; 807825025; 938283193; 522931358; 166873324; 931124172; 384959464; 539283199; 21130792; 939075793; 162083306; 880348607; 702969219; 652259334; 433844700; 97877026; 845383503; 951601084; 532447415; 15701709; 102865367; 252512806; 507659276; 882532886; 204035579; 77223968; 85262455; 63685061; 476154358; 470234898; 493304517; 807253609; 556241519; 967245257; 737680086; 721755254; 564136978; 142648193; 570282230; 258185363; 259599759; 72808483; 769946502; 82164097; 842899924; 842779106; 772796744; 118151770; 603686263; 252483591; 573041396; 161608137; 891061865; 12148980; 3132992; 140153934; 676340648; 505103390; 713865228; 996057486; 964902015; 634694077; 645916121; 216463960; 998578644; 830907424; 484646154; 155650075; 149797316; 636027012; 628214476; 994922679; 943055928; 99032617; 741244721; 19112929; 401899545; 769559701; 570681216; 814791755; 418221227; 991632177; 711745191; 907463145; 814784181; 124718019; 359305435; 464489813; 355724391; 949943664; 610441245; 673124619; 169463948; 332533738; 105590575; 448351410; 378839252; 428155041; 506876306; 141115645; 327541578; 574136045; 856172002; 920387330; 39637288; 516386315; 721213185; 652253501; 949557497; 840886450; 988613749; 771684756; 607942710; 667222148; 651859707; 604403750; 948037901; 947439121; 702719523; 805211212; 469431128; 774465653; 431494590; 448654297; 257236322; 184014875; 861699969; 966924629; 515256098; 842143360; 10979407; 147869792; 266213963; 296984948; 830910586; 905008730; 679172113; 382214135; 364138373; 220335412; 772447657; 542742972; 460522524; 624460256; 224746692; 175879881; 722951998; 59430356; 471760728; 616405508; 657872798; 713757023; 416050428; 178772039; 452996443; 396761309; 624754636; 506835889; 198718057; 59568812; 180825111; 281811274; 512099533; 683569413; 132667282; 26694933; 206067911; 633028265; 975555803; 664834465; 859592919; 2092919; 988377135; 337358698; 490732997; 323898306; 282909677; 781941410; 560493898; 984775412; 244760483; 16950638; 249460451; 231669105; 665975801; 49711181; 648215497; 995118057; 106405882; 80192668; 442706891; 38913491; 657343114; 748576883; 317354035; 332293273; 40919614; 962218937; 160003371; 365499399; 546276713; 784804772; 879203035; 666009196; 383036546; 148085161; 498580742; 408158912; 100542125; 919615166; 699074192; 335238095; 938571496; 954245333; 16797974; 672948892; 566360057; 966243698; 231397941; 6841622; 307927711; 526622671; 108107125; 561470341; 827664373; 43745898; 910488158; 517183776; 352309669; 524712287; 131894282; 891368910; 797843497; 500722744; 475223692; 385622953; 113373146; 544758096; 89449256; 580124250; 903211032; 336761014; 925988394; 632132359; 920786780; 781487612; 695940963; 283055038; 274613142; 819434512; 679286066; 161014099; 869344106; 980391205; 565688282; 763566690; 552714879; 285772718; 980667010; 681682390; 980403014; 201873071; 156527312; 485843912; 474032276; 534755443; 982246948; 688358366; 653158331; 951310587; 824437726; 339752512; 197481138; 571238134; 831793252; 920368751; 464088550; 10044520; 575646634; 458562328; 2463168; 922642254; 53118944; 569780729; 226505881; 273242521; 3747953; 488261998; 332244300; 923643392; 963781658; 35064071; 409295007; 737810338; 102829021; 477804603; 468587202; 94162050; 897494305; 483586061; 666918802; 774970022; 643861862; 908763928; 78940338; 147459273; 310421260; 781988236; 811372016; 221428736; 453275640; 354544005; 942270834; 767647119; 672599557; 740840205; 771038670; 760401275; 519097686; 757511930; 355120760; 169456949; 693602823; 230484995; 412436124; 581745292; 157234485; 717038671; 204482390; 54310059; 295898021; 23542459; 854638491; 256245636; 710810834; 24062096; 38406881; 572598651; 315411401; 326035697; 433413938; 6934338; 258213164; 319822325; 805776355; 469702886; 183621607; 588613059; 22872772; 973202594; 426259034; 249416213; 598104853; 811778909; 752053666; 874860909; 995191255; 717223639; 74003888; 191646178; 649017213; 147743350; 712568738; 102755377; 89297589; 748701590; 78485848; 268012485; 427136352; 10768067; 130858380; 70575757; 12759554; 676485131; 528920732; 546619471; 647035637; 73009510; 430623900; 440901304; 563840660; 263105867; 762366571; 372282300; 744282613; 614712730; 627970641; 144974754; 915829522; 708251194; 296966673; 99682665; 559879529; 900728319; 665495880; 679216189; 132753726; 596146911; 302519734; 129133811; 208336943; 545696878; 334708524; 982427984; 326869079; 434592937; 458486353; 395707077; 238885676; 375230382; 974502180; 387226914; 631420781; 641489697; 207986154; 891528722; 228929079; 481455946; 946817086; 861215048; 889110188; 657470669; 653865456; 895804587; 981930787; 326255366; 28509411; 921887237; 187498572; 453926427; 235801906; 430316652; 410661488; 443048691; 156257064; 558192262; 326669244; 32006769; 758405829; 867047520; 698148327; 350024993; 395065382; 420696878; 90262026; 754398689; 316388702; 241681320; 606340730; 30563290; 121030958; 385443014; 76722806; 550854881; 357772907; 787539405; 930114797; 74235013; 53828148; 982292997; 904269365; 414214512; 606592673; 897700268; 618921090; 302979222; 93922354; 738106922; 790387865; 948623582; 267362248; 583310450; 770022364; 787796485; 235283489; 693130416; 738982517; 660944922; 328974591; 71121356; 322403720; 884364535; 63433428; 800819319; 504665681; 210672182; 450478704; 60958641; 885611293; 149546624; 775730397; 729602160; 782174638; 640673740; 920798543; 773104281; 658041104; 516131797; 145395563; 534300267; 91876666; 70740999; 65624868; 208205280; 584970717; 916520998; 432502864; 443120508; 227465431; 704409253; 602984463; 891944368; 862988358; 170540466; 969861920; 482270336; 791079692; 577119380; 908918704; 32082250; 641875440; 163527046; 679966980; 11763937; 640754868; 8258014; 498129533; 939304914; 420778900; 204482935; 361760433; 915698657; 447110693; 90005292; 151049943; 435081578; 834868844; 873093574; 288936286; 712945673; 348642412; 875713234; 99614747; 232462595; 524682314; 562103172; 876989413; 483269550; 999609699; 169830031; 713117376; 965697637; 20239571; 225758166; 903535883; 374079828; 253771625; 868818423; 541339087; 46942653; 409357230; 511376734; 691245812; 464279741; 514069645; 118678563; 158598711; 805950994; 139679048; 760245860; 444183; 821571781; 219788733; 775170490; 147018538; 456500815; 781400660; 278765722; 242784448; 529240759; 459762610; 87328849; 679979825; 106538133; 542046588; 74758521; 82653175; 154020037; 814313796; 885728863; 134250889; 400707306; 69012541; 740725445; 787215384; 324255418; 831269772; 350551019; 477333973; 976371196; 231444016; 665401895; 424003476; 73778677; 958532511; 623713776; 282379763; 488844712; 276865665; 828406296; 506177294; 394668715; 451148759; 794754040; 204641626; 683690922; 890962714; 744664964; 428532173; 615962344; 872583214; 182244238; 644692567; 504545728; 287676979; 463729129; 620048412; 692410111; 447092074; 931046600; 505715250; 41907491; 563274602; 845146003; 628171043; 328578123; 864180832; 618099785; 730264251; 814607000; 165853774; 185436173; 609533906; 692707255; 270736675; 29019359; 435497882; 655967911; 710672006; 616077275; 220730677; 377535116; 267627227; 611374490; 474087001; 790284767; 845225066; 923038372; 829463259; 204426960; 351569485; 947564201; 501920111; 961835301; 985051472; 580124237; 711637807; 843961731; 113936248; 933526727; 784190617; 905871788; 693592011; 941243778; 837510101; 844216780; 706794313; 920401188; 889083302; 64026971; 161670171; 601006344; 310648226; 260226635; 946882589; 520040788; 265202141; 464470970; 123445432; 94596385; 473632843; 198772038; 821681351; 226512127; 54151318; 650840644; 319756097; 681926872; 238441518; 461600469; 670269757; 964985891; 91173576; 19815433; 134526539; 916019356; 791709371; 911131257; 852095026; 432154215; 18795776; 36765767; 903941066; 230782634; 14485278; 685462709; 413231623; 157360440; 904202745; 185339885; 300384331; 178325625; 704937606; 306416028; 646681345; 712835004; 917761156; 360832415; 361813304; 332146855; 227320892; 987308335; 176353816; 841033537; 202971603; 33988533; 153988220; 742770943; 987901658; 512476690; 762345161; 517741626; 402708342; 327408797; 840568507; 935057889; 723913172; 665137809; 296724441; 711676104; 534899259; 245269356; 20466150; 837188529; 101027265; 787885177; 223006481; 959673520; 738606173; 206608367; 855973134; 204024839; 449220299; 249312034; 984953386; 194468865; 605319418; 652639866; 705031148; 436366908; 939401348; 976133584; 499780581; 325993926; 302626630; 508915681; 730245254; 10855096; 117564498; 358028272; 65706377; 733195896; 813052643; 179023695; 244898547; 510371782; 133176351; 646003779; 383461411; 477177968; 78971816; 198720150; 723935961; 256004754; 464702135; 612381065; 877696164; 224273695; 259840265; 789471016; 802730620; 304231569; 206873051; 428027609; 539339670; 532659459; 200447979; 163913108; 95999872; 880665755; 335611471; 556822603; 943446432; 845876775; 410743986; 277799891; 673275401; 353006731; 128073372; 571214183; 296219002; 267368169; 651799078; 760948274; 29918579; 117789741; 349610255; 918851194; 116903705; 920063679; 69430973; 882052704; 204207097; 672257556; 981661706; 57883684; 658150236; 348021039; 231074407; 209496169; 984693675; 907514560; 351813812; 583020688; 85715072; 762339238; 84021212; 198036193; 562143209; 296317778; 430470388; 60097471; 500004535; 350546737; 153843844; 5162870; 929602912; 497762452; 925812926; 854868191; 192153749; 504747170; 217711973; 458172402; 225778221; 595407557; 380260469; 596617299; 745432459; 795486718; 839075978; 156300902; 693333394; 381997715; 63374101; 94279717; 174366963; 310625195; 173889480; 854767337; 594229641; 243882919; 56748180; 672541334; 691896907; 21508322; 703407706; 752606219; 44475923; 872870919; 95680161; 785717086; 646556049; 503372333; 670494213; 223624782; 641547364; 846116001; 895362711; 129198008; 56494186; 93321223; 979766843; 779811242; 762698193; 206205300; 254698645; 995826742; 828901204; 164014293; 602798096; 684485452; 676241545; 375566612; 13741541; 533461482; 590781961; 746192714; 38570482; 626886055; 468401313; 216253320; 499658690; 411173234; 452885947; 833255196; 476103436; 857759466; 480324297; 672518813; 954279774; 575508521; 450234252; 686310950; 434630947; 449604567; 817410996; 391036102; 746577379; 735404594; 432329065; 722353206; 448231107; 426881862; 422013430; 648170724; 879372482; 540423409; 398686392; 414654241; 950490915; 350800691; 660528578; 623052166; 393852759; 655815078; 725383636; 606891047; 372821736; 127095834; 103745670; 817693365; 968030415; 869044305; 717288729; 339611649; 580584959; 266309627; 850433717; 575832531; 19909616; 889215460; 706783942; 874382670; 83631618; 376455699; 756829362; 701685073; 45860067; 702544542; 697943443; 537133654; 77559212; 245625181; 986532722; 809868992; 727421633; 176925806; 754086282; 726594002; 454140940; 416974818; 408023045; 460772075; 615198392; 533361006; 518140758; 17144931; 802365626; 923449252; 532920938; 376298069; 493486392; 757683207; 872120739; 880557660; 806614015; 87577539; 655270983; 772832340; 806752711; 616473969; 541966185; 803674710; 671260847; 31806718; 977599834; 718115430; 117741410; 310634690; 31260465; 220794242; 323699294; 606299787; 12451463; 349642080; 225627172; 494224432; 995920593; 578570587; 541325730; 607006767; 942873136; 653777872; 764898245; 685301382; 468595858; 296465279; 738742491; 256866872; 234632488; 518772213; 727059795; 36048654; 837263275; 672234638; 583537796; 284538590; 209736878; 907655008; 536930828; 463796715; 392898656; 143286259; 512161555; 164505205; 299654308; 629099174; 39025237; 599162100; 813765034; 632109916; 457490633; 637688106; 791386669; 515111128; 87091655; 581644586; 521555587; 928281895; 499276459; 671372076; 360940216; 904319375; 266275316; 162491200; 449754561; 90386962; 175878599; 62532370; 156718875; 138869011; 704796982; 161565104; 897513235; 360018352; 736621532; 925648584; 398970764; 343034136; 228124188; 695975888; 653920606; 723928403; 545179233; 354943304; 96899462; 539161102; 76774562; 848155736; 824009099; 79042692; 605125323; 387670201; 770161055; 848359847; 794200275; 151035011; 543079422; 827583484; 605813526; 54926168; 379125994; 452726874; 674643433; 235799421; 521388105; 892991124; 628571215; 491215354; 558070874; 37488656; 11434335; 642178394; 733636153; 835571704; 177179527; 545295526; 109193016; 597510512; 819786166; 783729396; 394110241; 398122918; 157315047; 233351415; 156759936; 198591553; 90696858; 523593450; 533590771; 744433408; 425612365; 464613551; 231680588; 965910490; 647234837; 106042149; 828299354; 522111046; 2469940; 283653736; 433036686; 817726229; 869896847; 568112837; 785459532; 346845126; 15397926; 486446761; 697112012; 467822622; 695222925; 585246468; 962983570; 733453084; 743365278; 213458637; 573508129; 65616807; 795717057; 622252640; 160650977; 656256515; 408703293; 313392453; 778351653; 250667734; 822549377; 16530247; 467378349; 774888868; 158360708; 479412723; 971818131; 593703772; 46291126; 2558779; 3228184; 978471398; 530339957; 920829925; 35017471; 256630908; 52704956; 883690039; 583368899; 453523934; 846408854; 197217373; 853452421; 810141282; 441347032; 756168543; 31154015; 211944515; 156415743; 733046031; 566943074; 102320811; 234990582; 585471199; 95836413; 143442908; 429799179; 541590241; 9669593; 241286746; 507735921; 311941628; 503881128; 941084556; 293879435; 761661097; 664112573; 846038725; 301889514; 714610667; 898731997; 897206231; 246280890; 975055014; 205101102; 621911861; 175845448; 145828544; 78377609; 279771640; 792452251; 564075561; 448884020; 414466901; 312765262; 583203850; 734998825; 29477951; 134146871; 513988661; 866806726; 769587021; 695975301; 874303028; 23668097; 186419191; 347309189; 598347435; 538736184; 192090556; 360378836; 91337668; 601013277; 741518938; 505414431; 381489917; 804808785; 127411285; 394917322; 430194671; 799681715; 290507930; 143013368; 133732367; 8181551; 123280320; 32820614; 454525438; 532904873; 872354131; 546122045; 61803641; 369154955; 692841022; 400483069; 976854131; 728122161; 754083376; 349250425; 482583982; 988201272; 760387406; 88113192; 619484530; 883445421; 348770543; 888627075; 181550778; 564271207; 421721432; 399162427; 826214130; 129036003; 69710486; 972277669; 862450297; 855630877; 602973476; 572368955; 270146316; 880407106; 739145102; 619815685; 325005011; 503950437; 506447594; 983446286; 298549562; 899168486; 382286278; 900748382; 345708495; 357798383; 777728590; 17108229; 583820289; 474900826; 93968957; 308974662; 248902693; 545398954; 34478476; 886520842; 686565172; 740473189; 237073353; 795289459; 26960251; 807461566; 482631557; 858100702; 22324038; 924198463; 934759844; 478106299; 473122790; 158057599; 296891234; 125952218; 887875777; 633403511; 717867609; 792215481; 82940337; 484384971; 451417431; 640020668; 293157053; 360099952; 979271387; 80279947; 712171932; 299883613; 81220602; 445998107; 880634770; 547820208; 879656103; 500428543; 939192689; 193106141; 750026716; 56125957; 534500560; 615359392; 948553787; 738719150; 691833572; 749926490; 133969289; 159939301; 106604119; 285729824; 701872110; 597122627; 62325443; 303301146; 592718344; 6744491; 985816055; 113618367; 524537496; 781468138; 896823381; 292838920; 374419958; 471555855; 677886680; 459131942; 219778735; 883291579; 446899661; 638798411; 445158339; 267090132; 851736777; 393093579; 864275650; 706520854; 526803940; 563112259; 265327338; 318871059; 241461398; 582044374; 69015060; 994804516; 301278941; 777151024; 381024395; 340263783; 525235406; 636680333; 636886117; 934518113; 137186923; 49900761; 79317545; 363070987; 736017769; 541669152; 834549908; 655634101; 43689533; 488556352; 846661743; 581610257; 492440007; 259656371; 69687482; 244222736; 493752527; 871115665; 357508250; 461142929; 129731047; 348124999; 768318297; 969663737; 533803618; 824244744; 738672072; 162024191; 732465172; 977647920; 161270837; 353385850; 876252026; 726037822; 40391381; 706436649; 940593782; 555213490; 226617543; 492787311; 500362154; 915133167; 33728553; 971822948; 668278397; 760978683; 132768472; 299903243; 238323055; 318478598; 286745300; 485430946; 717954039; 892421576; 570264864; 558757904; 338452072; 463029786; 675810341; 391340686; 21656789; 834333949; 941586056; 843434526; 641223367; 875950660; 389079973; 404152651; 375326771; 729484622; 688349326; 913192695; 80685989; 56765421; 860292112; 304016101; 553108086; 892240581; 673239024; 172609026; 74033588; 612904827; 180467526; 606685997; 886978836; 958757568; 456054058; 681436707; 244410377; 484070934; 449349627; 402286284; 680104516; 623921198; 49763657; 684860217; 17865000; 368019477; 740884351; 79585503; 344869439; 274375640; 588836884; 194688716; 354825530; 630903398; 247498336; 690326432; 184849708; 771651982; 761705307; 353227566; 809911976; 574097937; 179178601; 959062006; 990206177; 267717471; 320646780; 848047033; 574950047; 286567244; 832678160; 898742207; 718194247; 207440483; 998583962; 296380298; 987324494; 47726452; 945634488; 474498761; 228863936; 782777129; 542556405; 224856954; 251988130; 400348212; 227200346; 588745512; 365259745; 946189068; 918268223; 970097944; 545085833; 586490744; 662118266; 463206184; 791398510; 108833047; 981073050; 387511522; 243348159; 919442465; 614270806; 325816923; 856367979; 205023916; 488517693; 856005978; 323394994; 569334202; 979325140; 978519092; 391915458; 761701549; 7317908; 134255887; 235332414; 991334722; 918060120; 696949913; 633509854; 949030564; 896937961; 3072426; 527994237; 861012625; 849867528; 221276797; 700831049; 69813203; 924740282; 449739409; 123762709; 687433664; 566014931; 132428474; 785267444; 884320381; 218308376; 998518791; 210202194; 48144614; 388100773; 567449814; 398337394; 575923164; 834187212; 314041857; 85100080; 136970524; 112671441; 995405516; 788909937; 231029797; 951629087; 831733892; 102802741; 749977653; 1117214; 567823917; 468355617; 961704816; 706498861; 565089136; 160811356; 981174472; 278867507; 107181784; 254161462; 330571095; 818422061; 131914777; 354429468; 805668349; 853357855; 839401858; 225167305; 166782432; 998406030; 881252802; 57177963; 861986599; 141253215; 8015602; 937280598; 817875775; 360842600; 88132222; 930975881; 289053227; 769428708; 740697874; 709287585; 132397315; 896105718; 677612343; 679691478; 155892471; 980791118; 228498798; 450687830; 751619101; 521951615; 483092269; 954460478; 111264109; 889680184; 967751960; 238958053; 577575187; 23685008; 940063529; 237573213; 444408211; 646341739; 501254755; 118016000; 665196896; 254361607; 826008236; 130537092; 30617564; 704621590; 94070945; 612769975; 437896635; 272958949; 378672941; 551413092; 747391335; 788355116; 747109824; 332543117; 904883656; 538643515; 42778332; 611432435; 169994279; 979035204; 878764784; 879473977; 571059375; 329657200; 952712757; 287731052; 74867181; 512458274; 107972316; 159191484; 228091854; 710924495; 242627319; 993606189; 265039965; 850807780; 62933954; 932664845; 574330321; 463718211; 990516275; 935102163; 824790405; 311616201; 788107165; 404914161; 893405147; 159474655; 659763679; 195337605; 509318030; 309894317; 851487609; 669670726; 439161718; 691024134; 163051202; 489366260; 980804984; 768013979; 701743824; 855043125; 952533963; 153842557; 684426219; 72471576; 773272209; 404157363; 166135784; 596856531; 929363057; 793834811; 897485147; 952914932; 187334321; 733832579; 668272672; 106182340; 583150851; 138328754; 305759748; 566642741; 730556549; 509351483; 803254536; 220578456; 341377858; 453167665; 971297743; 400840472; 746940340; 482857653; 290055497; 927067145; 81157907; 477214334; 171703950; 329168519; 944653665; 669645412; 532415318; 363582766; 788587703; 644206213; 36107871; 515154681; 100602372; 396889730; 133669903; 61923040; 568057788; 69602192; 880904659; 482362943; 571670956; 739667709; 215172563; 771915180; 15622173; 464165959; 317955376; 978351080; 347862425; 435897468; 382268707; 490269231; 634460800; 28019778; 832279348; 299911338; 632768139; 156303520; 462148974; 658416121; 68529168; 695482069; 276327205; 167604013; 184952202; 897966389; 774325815; 520643202; 154931996; 138568481; 685963546; 310674812; 360608209; 326759696; 798400676; 836943916; 831217555; 641203505; 467703036; 746795325; 782430403; 320139072; 235599787; 521206309; 793342272; 420703806; 368103478; 156481047; 478501687; 334856688; 695734792; 914355492; 835733377; 250601256; 706667716; 888505801; 777556331; 55153110; 654767896; 768877266; 864538283; 510812069; 758206537; 360476091; 239184741; 668102428; 434414460; 531378825; 698589528; 661223436; 118397733; 512597367; 530726269; 309866029; 666845349; 427191538; 569679518; 910634891; 677907206; 1353047; 356816655; 12170654; 105820036; 717906969; 676210436; 699077655; 266172784; 834858361; 200569310; 134109523; 876431465; 189159732; 573629775; 811192688; 621158633; 800946173; 989345722; 40084964; 986280267; 316004723; 55277116; 810687020; 156407661; 885776864; 503288117; 989104387; 114502761; 981683157; 571368354; 122556604; 525448723; 472735322; 944647190; 650762279; 18316721; 201609956; 781584321; 37503642; 34721467; 707984845; 325667144; 353819276; 564366453; 966004294; 537952324; 417677685; 88564418; 960896863; 78219662; 296181568; 576405235; 440089300; 817556677; 239606243; 844934758; 181770281; 943975393; 179344178; 961131817; 681095930; 170040171; 364545678; 148639265; 833310415; 491481732; 998650741; 288485065; 870725293; 288095598; 167449433; 376563971; 292880715; 395466594; 614134383; 132134549; 541380166; 124873559; 684949737; 327982407; 415626210; 306952272; 382618251; 882396515; 176655992; 537873331; 273118588; 219022107; 702516166; 431635185; 690169978; 642759211; 414957550; 699648235; 488116276; 457797100; 290318995; 521743592; 483675035; 280172905; 71581430; 517590201; 253135660; 596239547; 928454188; 768528509; 237342074; 269109689; 81692367; 162524064; 933879764; 481734900; 785767693; 378712802; 976565252; 30726929; 342574464; 210279903; 880643208; 401721512; 708335086; 677947954; 856958228; 291363410; 844420955; 545720364; 958004021; 543849623; 431070505; 11408528; 587155159; 627223100; 941719836; 589169004; 395903031; 816883159; 898154390; 765049873; 455117068; 609918090; 317936732; 675485794; 294008353; 337832830; 16332535; 390006550; 890492137; 649310098; 941593342; 909640943; 456533246; 13524209; 518842673; 188237039; 362462282; 544312878; 863270727; 862516644; 590993450; 706563399; 868082289; 675349860; 176589952; 863454767; 471727462; 636001388; 757707612; 418517216; 552814977; 701084988; 579901691; 1657188; 375653121; 388336640; 901988186; 271811990; 255799313; 238419681; 976119911; 638921731; 14565447; 476372879; 814275530; 456213660; 802057810; 565899079; 942061687; 18026508; 30012548; 7616092; 385642768; 74753039; 963422517; 162570061; 889667136; 982132217; 272585372; 488785112; 658076780; 916292889; 242289142; 444842515; 892462148; 209959286; 727433864; 414004504; 8512523; 418141306; 153074839; 445674399; 817329023; 847887231; 72970020; 393097587; 16222175; 619462409; 510363825; 455375158; 676932399; 730809251; 531026065; 82447576; 996431185; 441880526; 871831954; 50018250; 126408566; 28162193; 167093290; 710409230; 568802278; 676572418; 395799696; 30700446; 975700260; 689021265; 288839718; 376652836; 539649829; 548655468; 715634756; 709136707; 771522628; 895261236; 78750778; 666029298; 22164963; 619921957; 91010246; 237592109; 377579635; 804094879; 984764683; 251609394; 408639500; 168435455; 566841799; 280864452; 515448934; 43035610; 594516496; 50656945; 721157675; 437881285; 958439999; 433941986; 392227925; 624490385; 534906661; 513069413; 587412894; 993452444; 925228805; 106473241; 613982284; 880655731; 628270250; 989812015; 798696341; 757860605; 793879892; 7492385; 349080525; 621229026; 130035162; 241601699; 927952119; 883773772; 544088049; 299779606; 537745145; 151795170; 80196093; 848393464; 276594882; 823772600; 45762979; 633826077; 415582216; 36788505; 939323917; 179629240; 874523852; 351996216; 291817691; 302334683; 581878483; 739569579; 180999125; 935808360; 981062909; 57446029; 226756825; 724458242; 966214363; 749799704; 714529170; 584735379; 640938149; 607588359; 469490237; 161174359; 387547639; 256846636; 339801875; 489192617; 814169214; 636429426; 941092022; 482128443; 826514248; 114294458; 775053648; 907828094; 117157503; 707547334; 359456109; 661522131; 529693990; 333426869; 317335569; 820471850; 691543020; 464468813; 231031143; 309063955; 295910171; 943400615; 570924218; 166020375; 243176684; 870178670; 133039349; 789596782; 803325052; 550343882; 706852511; 413126365; 632653582; 678818396; 891721080; 883072010; 616145086; 992996560; 539541052; 331201217; 792080153; 787966396; 679568340; 749211753; 947881643; 604652055; 480974040; 504113582; 431494716; 813078200; 935555300; 940315135; 727166638; 757088521; 660567844; 910999608; 565643350; 961945360; 289464253; 849551674; 359850088; 652739145; 370494472; 654253493; 968423503; 53779160; 321566851; 939443906; 985565154; 811128748; 270047557; 433256792; 106808350; 366209971; 857275671; 666322881; 99237376; 792884797; 406768440; 90783719; 965204751; 519675024; 181153463; 107105426; 92239694; 428410640; 883135127; 315533361; 56814583; 138112039; 443616238; 480018993; 878332899; 649635881; 58249294; 237455521; 245029057; 135478917; 47471195; 904905360; 103112590; 564009463; 524346087; 768890894; 867444058; 196280733; 566893493; 603892522; 901450379; 512504061; 750033590; 358629892; 780891769; 120275273; 260321229; 698499500; 33290807; 105395915; 515706441; 529578953; 713094272; 826700746; 962382009; 442788772; 367902793; 591730369; 707569869; 215229806; 300506507; 818200955; 230537364; 32141207; 541083843; 266089531; 116914158; 575623823; 442808438; 482960501; 197150512; 27323596; 549768515; 142160762; 818657669; 89502517; 532608560; 210805743; 686334450; 990940555; 402336223; 660081294; 281485435; 908603095; 339887374; 455647316; 359968292; 361243919; 486154734; 628614921; 102963475; 987537865; 153636456; 875650457; 540119006; 928207135; 471852502; 606915555; 230370312; 338737999; 466617988; 633855192; 611335239; 873579202; 975986278; 798155897; 176277888; 63347062; 516514153; 87463239; 295666810; 194706100; 425253384; 848477143; 922581045; 993090519; 293926533; 192007018; 875367840; 96188932; 181222246; 68648957; 513705774; 700423436; 580288714; 799875265; 751092257; 31361802; 732259752; 486701122; 22060856; 120733592; 373839697; 993415521; 303097028; 712122173; 641724796; 540421856; 345661285; 909112592; 213368079; 201577626; 111635810; 29574019; 781723274; 885043482; 389647485; 759008276; 856600109; 44386974; 676535525; 96880054; 713573080; 364200365; 432955395; 988106045; 198798314; 996122219; 715294196; 108453506; 137531542; 481839910; 753644315; 62117585; 238889327; 425084964; 771147250; 535138197; 152252751; 811582366; 822381568; 903012588; 348304745; 436787079; 818265690; 580718791; 933181979; 312663881; 899661324; 919012158; 104193774; 217424310; 674702425; 243239248; 667548350; 721117435; 477189979; 627792528; 851895739; 880780400; 568862894; 580416463; 647628214; 975787460; 183476244; 258651403; 19875284; 512211074; 290372411; 716058700; 849803107; 494690368; 30970634; 513257249; 215524131; 787500294; 425215919; 949518730; 105953907; 23137188; 561536791; 724153002; 575379348; 622735652; 8002363; 657438093; 893818636; 523353333; 798426396; 300080924; 945009196; 977173311; 406954176; 219429825; 313621544; 112385730; 32554711; 992034844; 737978755; 497009041; 859816036; 520423280; 896401840; 238961591; 640662030; 945271521; 646947271; 296325082; 401380731; 148597473; 210964288; 568305145; 790296591; 968869725; 828713031; 544826190; 401155681; 658575659; 933435793; 151592780; 910160919; 291729351; 37627663; 60394241; 758928351; 963958128; 688406179; 630003799; 292120275; 961987590; 780011689; 149420699; 70508778; 151170219; 251691212; 497030316; 817212177; 848586395; 378530675; 161500872; 925851616; 301156659; 682492689; 393283465; 293072395; 593062264; 832976577; 830126687; 694413773; 387315572; 189069478; 834140019; 909331535; 912433663; 823682875; 219238203; 959412534; 244878429; 180814329; 513897313; 459032545; 15474310; 290536038; 951495861; 815051933; 690230564; 43271729; 170240404; 729938476; 278364788; 557125204; 323060300; 3408960; 738426466; 605672759; 115318261; 420332948; 221705021; 112705091; 35282615; 323106684; 750193017; 643531883; 220117998; 16176953; 883305015; 289718864; 211636765; 359772645; 625126319; 501887634; 559252266; 927815796; 550980093; 100629283; 540717079; 95924642; 589675445; 596585536; 70303784; 824564124; 465688997; 400500665; 381167249; 331617975; 410285032; 256160174; 160554478; 933246785; 622274762; 793400961; 120049546; 167771467; 454951962; 609050902; 839733263; 697050474; 25300849; 992892849; 999313956; 447855688; 587492879; 559589683; 364565575; 751333643; 49914274; 834142560; 159075775; 500939772; 548686970; 65832371; 367654627; 37696907; 976830166; 379134519; 519476863; 946748180; 534776218; 855771030; 921687030; 22201687; 865872768; 710851841; 925234304; 860286128; 174111606; 229261374; 41209901; 6178635; 309642676; 992024715; 294714155; 538602426; 195672691; 150769986; 455960147; 930663702; 646707292; 482150906; 639720370; 975169846; 163825658; 616468153; 397363126; 417962549; 377053510; 91109704; 71019740; 374398639; 610962604; 70816934; 416227388; 601890309; 680665673; 984941452; 602530397; 456023575; 67148831; 907307001; 852763935; 193776358; 338021445; 988224853; 996004752; 103525552; 718953861; 693578576; 887087224; 456900770; 810093553; 736983622; 303857749; 436250712; 363792188; 871889533; 387285266; 7777518; 371393610; 761538749; 291742070; 536653956; 980296166; 80239158; 334071385; 636033044; 390730923; 49362564; 122382823; 294775472; 841966700; 602366772; 625323120; 821097218; 998900132; 813445637; 152698458; 198782494; 802787696; 612682549; 122249717; 422739745; 43786716; 716489887; 932233963; 320232251; 947532398; 105064326; 537013871; 803845880; 648777857; 720023084; 377738458; 297868125; 308794386; 383709053; 952839378; 159384982; 116794368; 355315547; 348752175; 896983097; 821370765; 3784808; 733885916; 214792102; 910698225; 674303649; 672362452; 434154159; 453999252; 424589265; 109528737; 420834920; 692767295; 757282418; 425683478; 554323792; 708422076; 196885550; 268884053; 316900091; 169539609; 547331447; 594569026; 636608586; 174917861; 967501482; 125318250; 416396636; 394964459; 90986633; 483666125; 496373247; 888095511; 109979007; 357283255; 421661131; 760269030; 190842563; 562954767; 919940832; 421097497; 63773814; 622026111; 179865880; 928893181; 951684043; 775311716; 682300438; 773160911; 402738977; 105222257; 26548885; 235943130; 545475664; 135600213; 91550808; 613855; 812106429; 796933038; 566657205; 814211623; 152315147; 41156437; 408612413; 456315162; 906230924; 176170508; 915998444; 225974809; 519810622; 903089250; 451002814; 492252300; 78941172; 618398976; 288163103; 921199248; 917163621; 538280150; 965010093; 968576760; 242440302; 705593839; 944678008; 26296029; 87899320; 785609157; 997216269; 620658665; 785436748; 30635577; 907298350; 976338500; 789216033; 534631831; 121707133; 621890833; 174297568; 927631386; 226762738; 105292699; 228603250; 419698591; 882865225; 899710501; 627547781; 486694638; 821973500; 391653378; 726591058; 529119713; 485383406; 559102127; 399627398; 244142219; 673947199; 901758617; 713062407; 823075020; 455091625; 834052821; 541694138; 588488732; 473817183; 783349167; 871909633; 9571279; 969133532; 929913573; 499940456; 546333121; 823917435; 420388000; 841240144; 19565454; 605001346; 767293813; 851434475; 9453559; 748750941; 861445748; 703011773; 34488766; 460902152; 261215764; 784602513; 597900415; 419654787; 128875984; 160131590; 717712377; 56220589; 336078316; 593180566; 380032776; 495254473; 34031030; 869296805; 595805085; 400311494; 329073877; 837014305; 26415242; 135563303; 180711741; 398408180; 58104009; 325694104; 207974761; 436312005; 258769252; 859393177; 516932521; 193706325; 574763339; 694906510; 191037349; 660777544; 933224382; 659440571; 333093695; 710328286; 894602657; 511055460; 504469738; 742362820; 206877476; 197983682; 597177387; 289996409; 131786151; 911059318; 127856666; 804534936; 767586021; 164356394; 273983566; 174872921; 510723647; 592915933; 720454856; 111699111; 540308073; 573349462; 729916880; 141422586; 721229118; 987554466; 531981885; 791888374; 382081083; 750920223; 424572571; 261493165; 515142511; 942729810; 979818030; 757030121; 19701367; 999354683; 187967299; 382527809; 225644678; 13692285; 461452553; 618315205; 667946139; 975373265; 22569379; 263683376; 973100361; 844899495; 893683432; 266026407; 19899580; 212785691; 204904722; 909252856; 201106623; 851100174; 327518484; 87487074; 720687907; 895918813; 389206705; 366568068; 304934860; 16829079; 810509866; 937305323; 746331024; 310762423; 214872398; 209104580; 196262441; 410779262; 566117950; 336789814; 517413850; 737626109; 971300575; 523823386; 98599637; 949612225; 393533198; 132013638; 362812488; 428941294; 385050704; 890924810; 700041411; 317267765; 393381875; 273954056; 393047128; 706617234; 941440214; 137713000; 955986814; 217590386; 179682768; 82252365; 650826015; 225263170; 840691803; 495679928; 193577970; 255361643; 892021169; 923386873; 762090147; 912857627; 934867514; 843550769; 754516061; 564366842; 266873677; 120551078; 391500180; 789372143; 488879848; 234778957; 472328396; 444013222; 157562691; 295563766; 145127422; 539865128; 735236176; 325407597; 836757965; 602321970; 751153493; 653443633; 754205890; 361355359; 374397477; 474533339; 91547556; 721900733; 47293697; 188805118; 175153161; 594463271; 94889160; 245755311; 401103166; 862934641; 123226825; 205177353; 298761428; 138225830; 50287135; 446530577; 788930187; 888648625; 341961655; 91455938; 454292192; 196186771; 170257127; 803962441; 83314645; 734483576; 589069268; 434161352; 583284721; 830469751; 40260858; 492512329; 238438721; 656988421; 292048821; 146285058; 664637663; 92545315; 679213501; 229051694; 957321480; 982631174; 925208831; 271512500; 523932260; 94069570; 897408191; 616698973; 182595132; 416153850; 265457690; 921327746; 378630280; 368371961; 834901900; 935830607; 101437912; 603468588; 437119400; 972072106; 4293052; 577491523; 671178374; 425484301; 544359538; 539463524; 386494403; 432006199; 850802308; 815576277; 70944196; 776793504; 127133956; 231679397; 458693319; 69232014; 646197188; 745190017; 593621002; 543875909; 553607170; 241184105; 7574210; 12649035; 486540634; 804409384; 117414845; 87727512; 303950562; 757290060; 356234318; 949480864; 631981937; 969035737; 584737430; 445935375; 450243227; 982338537; 853145588; 37696692; 884062650; 708987973; 399179763; 436303405; 79423889; 654373527; 143944884; 489891385; 119980270; 503335954; 23282136; 375781591; 45128008; 820025737; 820027669; 939242258; 972039090; 349180897; 537771654; 372022189; 216841522; 738588817; 831069965; 657639468; 234632059; 925889962; 861629584; 71271112; 429345742; 664070004; 691878380; 737691706; 157704079; 513109455; 605382893; 834032802; 747228818; 357885502; 328187276; 618868006; 48868652; 754050745; 831580162; 397204041; 180762015; 514330405; 23763580; 996520820; 170854224; 868456143; 926294048; 52948941; 773725795; 232798967; 597019274; 765525423; 663085701; 31341860; 914619380; 80633296; 117359842; 765510442; 75009314; 968130411; 811859777; 9201382; 542789848; 336823988; 972416534; 403938119; 502826142; 692923313; 59307404; 624895466; 550841016; 893293828; 268776634; 429271238; 102176989; 340694694; 977618186; 614126917; 551004741; 968360746; 135048096; 831711390; 213193783; 578807921; 363759187; 949757445; 985948364; 316520942; 569884202; 586004003; 377368532; 308323562; 584422845; 383104707; 970673962; 720346370; 461627482; 54936076; 480713241; 999703691; 143373077; 153300944; 881944866; 568337532; 506054981; 61271871; 387000736; 145703661; 860295298; 999835690; 510615694; 76563435; 447348600; 542651107; 312504333; 476461471; 574513593; 537673229; 911313413; 739918496; 462071764; 364209847; 107377823; 362112061; 396234413; 954247802; 54893402; 249343232; 520234613; 966777782; 51759673; 947412900; 29423591; 176975187; 720867304; 945119953; 422419107; 149533811; 266308964; 968089487; 440480474; 710755509; 953642052; 389268144; 257131851; 564483486; 114528947; 768396179; 524324541; 984382919; 335503421; 46850093; 365742746; 731503795; 519001093; 553399948; 605267111; 71652307; 945129887; 703935223; 218518705; 804976348; 296231131; 66528468; 114108608; 539318565; 207316950; 613627424; 620219147; 113433563; 937283583; 416392401; 974731222; 159189201; 985324841; 812500684; 324245623; 609085459; 668202776; 66066614; 264281310; 495828046; 857558116; 863599912; 657346588; 746818425; 972151277; 976528831; 319309381; 931932019; 481440087; 472283044; 898698870; 17669710; 613529290; 279439819; 996179445; 476693561; 305643113; 538953106; 324070794; 385594448; 766583235; 248147907; 975984376; 412309986; 183880618; 250425263; 647370362; 633127652; 686323380; 661752677; 453813502; 64654642; 468987080; 233539897; 902976488; 359434182; 509884978; 843223323; 711455470; 246010004; 774174351; 131962624; 728871248; 72540501; 82868203; 730649883; 598563549; 751579824; 867000765; 288213956; 133682867; 9470412; 376984477; 934722240; 359928093; 71559917; 209806562; 66958133; 87167664; 811470411; 425187979; 355048349; 130116851; 80648277; 673636755; 715161457; 398586621; 591958173; 858919910; 662349493; 737734315; 537406078; 638873646; 714344856; 279960686; 550881399; 829617117; 474618016; 542005131; 588750483; 482274686; 754645711; 954494106; 632428228; 163590411; 83948525; 596189409; 351304613; 598078136; 546975281; 868303361; 131947622; 493623899; 520954018; 587752554; 496932600; 734199903; 16886643; 598146284; 278904507; 78816436; 934491006; 296249598; 150171923; 853175452; 55854347; 989469782; 577054733; 129291488; 227465155; 555177200; 906462762; 162224183; 269482008; 130412147; 211885050; 168862533; 51889106; 620270408; 503576354; 232482042; 361222834; 310341817; 260431350; 51464046; 342893030; 926111512; 546109431; 651573368; 29101600; 64119475; 849863149; 390107607; 456635217; 441258071; 784112276; 680917517; 249246950; 752763510; 718438880; 897407960; 765166555; 936037986; 833486183; 838460404; 967490533; 363859117; 419233314; 805519137; 722171177; 453534760; 927844976; 65987679; 794672750; 309627764; 588690968; 196045552; 848534308; 411713633; 561505038; 16037435; 456054443; 202611801; 500786060; 223133517; 805823459; 961248620; 18187503; 660489309; 842499027; 734430365; 824189968; 57866462; 381860410; 43218280; 944382062; 531548701; 670345410; 391036191; 443781716; 586349495; 583416095; 82889267; 116708340; 533126355; 697020802; 22022437; 7458104; 558422274; 126709934; 31421028; 766831422; 116089188; 697613468; 596494655; 981407553; 809250028; 319644579; 802719595; 887560018; 330852683; 545465175; 583290027; 318093246; 902466142; 282022854; 863812858; 216565239; 456368800; 891980124; 854393271; 992407700; 311850005; 838830312; 73840954; 595919312; 904701332; 644970715; 92038373; 768902538; 571847250; 974194827; 162576192; 498623217; 968379826; 759096323; 261368968; 482213634; 860971817; 371019433; 100663536; 610199004; 276802798; 917041128; 381062984; 950195767; 726049338; 886451591; 103900473; 362491735; 358392281; 165101235; 197827286; 638804388; 399714138; 916845126; 467731770; 453569183; 988093030; 276945325; 589187470; 320006638; 50705137; 501947987; 105661090; 917695865; 706058914; 500496391; 591650350; 451720252; 569665773; 86259026; 809639852; 862519815; 54809845; 87551005; 203183764; 655027807; 74696771; 394796445; 458721247; 11224217; 195893828; 232642138; 972514039; 590573004; 125767976; 3854875; 112542807; 461165146; 768105777; 167108202; 534350304; 81746573; 708397460; 765896163; 211769581; 379548951; 766291094; 859576056; 220634782; 481950927; 201047193; 906830070; 8920551; 159536625; 323796434; 701178082; 968277410; 158734162; 995274604; 985772351; 851754787; 677067486; 342501148; 427818736; 987233651; 346588298; 190247203; 200338169; 679510221; 888687573; 917865697; 866204750; 690559812; 265657660; 906518146; 418251138; 129887856; 35122017; 379297359; 567306290; 561226791; 829185296; 431506921; 595973792; 30367955; 794874337; 561740925; 814577055; 396592267; 214686118; 876107986; 149336141; 784608991; 883763092; 929563296; 18600289; 942975775; 926152448; 880742860; 168723244; 680029430; 115379128; 261888232; 919957012; 62622424; 726562426; 639651320; 198379926; 792661358; 378350899; 611083939; 876994827; 221788063; 991678869; 248491701; 505772123; 898863649; 140648934; 662661734; 379788546; 553465001; 531462977; 117827494; 222633928; 181607996; 406258422; 203955494; 45365876; 948706533; 114336646; 748745882; 854774114; 671449080; 255968560; 629891256; 981522539; 474419934; 283187877; 236674093; 817196739; 431493922; 791477226; 384645606; 571268470; 914896069; 70844146; 928229504; 811911038; 923530808; 107896933; 269791500; 262091862; 879418318; 996169887; 576682604; 990533756; 520414986; 4402877; 814800969; 788057177; 790506614; 646912151; 882778185; 907597905; 961634489; 502359443; 828438954; 495233243; 627704198; 133015727; 138904920; 759586314; 179806868; 988142163; 812321403; 456964577; 754160947; 65864228; 645227478; 524938879; 551309265; 823340630; 948807910; 288670696; 460686906; 922611282; 198731262; 204187301; 81322258; 510906694; 615889690; 810947002; 436058862; 599407431; 592491637; 990267795; 92693605; 461540960; 573024023; 888405528; 816527608; 585932129; 443944724; 572564443; 793571708; 132730973; 708514726; 113621602; 950836933; 884458968; 409473677; 538445758; 271151543; 851016209; 554961809; 231413480; 672791642; 191442804; 605411792; 626421475; 216106340; 595352205; 959268076; 550569565; 486314575; 111933674; 730581916; 659164685; 502546235; 567533237; 982475899; 301094228; 107546226; 4340079; 766860415; 844796830; 630350725; 357554218; 243012467; 988534448; 959997993; 229342974; 935849681; 803136006; 320885289; 111663027; 189206895; 204545863; 985833412; 331893995; 611813248; 606500868; 908688140; 520930866; 995278456; 715284226; 284102393; 548262152; 435234384; 157948656; 58135154; 606252018; 775978589; 528300451; 95102029; 924719734; 149423935; 568316249; 480239207; 533446461; 511804628; 516102828; 829905468; 216181961; 602447591; 954786080; 319141107; 773107943; 371699665; 827528933; 149326382; 863403554; 86643841; 272988086; 441035844; 727985690; 11767993; 531226227; 244468916; 959038750; 780168238; 7662979; 245815814; 407673508; 325400665; 904051112; 681124225; 109036733; 818525149; 443204513; 454876798; 709254660; 450129776; 462532843; 397050699; 147089689; 615422381; 575047869; 613976564; 247607139; 103545660; 283772020; 365957947; 416175337; 552659309; 323349501; 638823338; 405600180; 887296816; 170020470; 546088027; 423424615; 434413357; 487899076; 792137063; 749082894; 653519921; 600344473; 876854506; 484002284; 440746931; 570958527; 837271054; 188348645; 428197684; 800734864; 39561443; 255738938; 871074482; 478115204; 303308416; 80556302; 377977356; 964061967; 752974708; 565489464; 621314862; 647407440; 180254426; 759117311; 352357561; 863381189; 426504581; 489748551; 205881135; 695188265; 434823991; 45522645; 208828776; 19697144; 533401403; 627589296; 815009975; 359181282; 590385085; 82381564; 968945316; 230093798; 539984649; 89259097; 960617925; 702911473; 316459209; 399770410; 898941377; 41793969; 770669523; 292423691; 162720800; 428978585; 426481288; 268337496; 294440331; 111612341; 863369262; 626851177; 398543708; 968176016; 237174674; 439904483; 259585892; 5140761; 309303741; 745647630; 576904609; 974893447; 19274581; 767065312; 86281886; 157126137; 697430619; 872559626; 953865059; 786727333; 81827700; 823533299; 734339144; 34442404; 44571558; 470325047; 185864392; 194524362; 657990328; 912989062; 178966586; 327822690; 129979977; 784107795; 695322750; 132047462; 577284535; 350838352; 532281016; 517965294; 843301947; 427332173; 107636827; 59520956; 646447689; 52677900; 421597711; 913930259; 583882651; 903673190; 315314383; 408274447; 85738071; 1922619; 90131946; 839485608; 217751311; 151579775; 399582540; 237626928; 454863827; 142119925; 88204220; 360238524; 208563901; 781322569; 495459580; 394503044; 601582786; 650193065; 272057133; 628393477; 403747104; 670906903; 937080958; 583067833; 433510269; 768335785; 43887513; 819562216; 347217970; 606401489; 563758396; 285699898; 885023435; 617158397; 472285793; 3766002; 399590917; 681534594; 402692289; 401136525; 542266584; 890357948; 775642291; 660250793; 818326200; 217925902; 19185214; 848794061; 698652348; 845434457; 81446839; 967268903; 187234970; 152784613; 594811286; 65111715; 369289910; 911034128; 436489190; 735013164; 402830751; 67585349; 935637749; 784291978; 835166602; 388938700; 719913379; 195887834; 892881077; 973592435; 31563508; 727710847; 69985215; 183783947; 144334682; 697699696; 77458593; 678980904; 78170669; 244038315; 739500498; 949067401; 67684867; 370107146; 883247053; 690011254; 43616646; 821387304; 272505701; 855547940; 925374369; 414029148; 295351252; 816176911; 783475067; 177438753; 637929881; 860291895; 552469634; 239997453; 148689540; 340137285; 552133406; 486928153; 748695617; 911770413; 553029201; 779510176; 641695935; 930353637; 589302909; 260298685; 227598089; 544836779; 800788537; 874515653; 137967319; 683127109; 69553547; 428255654; 297871722; 875068743; 19356841; 358309172; 861592679; 544715022; 208502229; 20877687; 768236286; 519367575; 643272158; 986792335; 47663498; 349574242; 106853276; 909254988; 350443223; 446041417; 627767716; 439071015; 334739966; 863177343; 661645594; 400467834; 636585569; 533554868; 451168356; 106067452; 324584349; 411378367; 828753585; 912666092; 676406646; 199040739; 652094042; 784775007; 460494937; 621083256; 484437569; 116318323; 318823965; 994208976; 110434485; 588901821; 516556662; 77894907; 54530593; 701755787; 891303431; 886758146; 494030927; 688333645; 12499359; 483625558; 544304838; 438376247; 318197683; 254420156; 519680360; 39457032; 255784404; 218984050; 434840983; 998133249; 497583048; 5774127; 270683617; 88188894; 276599180; 727202502; 270109310; 142018876; 713543974; 534840480; 594163248; 104005828; 634882329; 282195701; 775983667; 492419708; 414848981; 557149224; 325862841; 855885436; 218539009; 7647437; 339493683; 685804392; 398085306; 400870996; 20977994; 358517923; 850656181; 905600340; 390197579; 949806584; 479408345; 866284436; 308054113; 211852099; 472385818; 846255070; 472346416; 357898478; 335940240; 343081180; 198745424; 12251544; 842099639; 76267709; 175376799; 941613813; 426989434; 413996659; 231582218; 914689555; 135927717; 775244846; 739319742; 288464357; 904373812; 253725181; 716261074; 891136927; 731290386; 219798960; 20325298; 501623475; 30093643; 18104533; 595834479; 557113869; 277357545; 351999219; 689293795; 343004364; 220709015; 212810615; 35711355; 879984789; 296675943; 653942756; 980124288; 79631509; 466899966; 439118249; 197051655; 604822909; 339091244; 473747760; 834220512; 861763201; 78204804; 381410843; 44431189; 155021751; 297466020; 103509264; 982119632; 685478851; 415974295; 181728932; 284883091; 255894671; 476602574; 49488425; 380039779; 708071302; 58195826; 57096014; 60711992; 568820996; 812698920; 706880260; 740828890; 463930206; 646484466; 56988037; 510831493; 655783115; 617265625; 443845796; 937978954; 316493956; 69748197; 559740651; 806049346; 272784594; 672082037; 60382568; 84946934; 967940151; 679650173; 876236735; 47403467; 159533191; 416141753; 878364435; 911045565; 846305591; 896461492; 365682230; 600744986; 866513647; 20176543; 972542086; 888480755; 550184109; 354658704; 36904392; 889792911; 617722963; 872517218; 591928473; 564610346; 349832670; 764036199; 153061468; 651248353; 125693600; 626619651; 531923867; 397896346; 481578558; 16504817; 250525600; 310322323; 232216261; 277473252; 257996910; 396033996; 159633241; 880886116; 771925804; 9848698; 111408388; 415947328; 32911014; 804103474; 464203621; 144792073; 55631865; 104974798; 162386048; 208786569; 484366893; 528501660; 764464228; 168364144; 344225645; 804669885; 517699308; 852496080; 261507299; 84972372; 62229049; 790803172; 623522497; 12775405; 903195562; 734422496; 10282324; 977910019; 360446800; 816224564; 500725804; 660341125; 637413052; 266961852; 868936011; 539745700; 939834226; 270650762; 77401272; 322090889; 426728005; 426028106; 93179805; 432822797; 351383498; 644307270; 575045618; 603391452; 419499338; 172809886; 960694415; 504991067; 807647368; 729740308; 454180056; 586347711; 407089099; 451793273; 138677654; 706152102; 379963039; 434376581; 927018544; 823883222; 104494403; 645396742; 79270869; 979596722; 386980284; 506462053; 171090930; 598548632; 309270239; 667579438; 407915877; 595916451; 957538876; 272621326; 925552237; 2850932; 932216643; 101967391; 715823643; 505667310; 820669523; 687556018; 48314249; 389537976; 20106632; 656182415; 773495147; 801798207; 614959912; 918211177; 777586570; 674153161; 984409342; 649378413; 388689752; 380687430; 421441560; 529887990; 673828241; 934844944; 720619789; 795233592; 55825430; 470006546; 7336120; 328219109; 120826475; 698293192; 520751476; 999635899; 267741204; 340754730; 876242159; 767984238; 796145734; 672018321; 119996481; 471330944; 261606644; 150874407; 393691220; 585205168; 209129681; 138439555; 659685406; 475444805; 102630536; 151731650; 503696915; 572005713; 550071249; 262691515; 776288995; 560273522; 121200056; 734211170; 306001405; 996463951; 903988482; 301862572; 2967137; 883030533; 479443812; 934894557; 612078156; 790586243; 144685489; 993757075; 574946740; 353533653; 836227497; 859048390; 984129451; 51108354; 343520327; 351035967; 481177231; 242261825; 864372667; 97488515; 213665580; 421920094; 912396548; 817631680; 323626127; 177162791; 127056614; 835236154; 873442862; 256628247; 221299506; 852701087; 408498221; 210743493; 659038034; 431322008; 355376307; 955880691; 115762161; 997083566; 341006083; 422384837; 745226449; 441742410; 174129338; 416181936; 301692840; 908637666; 617694707; 101956809; 979958136; 235084777; 223815251; 8016132; 630452074; 998284679; 740337092; 609076966; 214317809; 458519281; 376892616; 85850446; 154653425; 204967147; 54947917; 680473604; 437395672; 849555451; 539916828; 430704999; 66634966; 112095886; 823196337; 335369944; 800437314; 461504857; 313828844; 256722315; 425323694; 896679685; 323106242; 385832156; 457746494; 847508186; 286730192; 233751633; 164529796; 234940673; 59475012; 905981007; 378275440; 222174057; 439341968; 817210374; 473829362; 913140429; 250146755; 401437578; 520347746; 545475334; 530983996; 667237538; 727029386; 120131462; 911985765; 146743002; 245030381; 665311953; 916158662; 26562999; 214473696; 957017903; 609574851; 95714912; 725125261; 70081802; 911675592; 409604420; 329273843; 273410293; 422133470; 453895401; 409910178; 204913620; 446298906; 7109163; 931165033; 954608491; 393632608; 807295459; 261370216; 302514861; 501668700; 165141081; 646049614; 451305124; 709298853; 945546797; 98893035; 760097682; 420809390; 683138577; 884485042; 533132080; 52685044; 89689904; 861810379; 456368524; 467741389; 357419164; 3693724; 854001406; 879836986; 778018854; 571838854; 58959921; 565903771; 777197822; 352859232; 870021941; 106506980; 259051848; 497881793; 597500360; 668227493; 233951381; 41790821; 527246806; 233175705; 738101307; 530100353; 134243757; 779803206; 893226007; 37429814; 913776801; 55414029; 642853278; 353019687; 997681668; 686251004; 352031744; 79547067; 140440560; 165729807; 950370659; 282558121; 621048351; 655572980; 646272722; 407738380; 612811896; 601897170; 626909363; 793076272; 25199102; 908455201; 706356964; 272845280; 962925676; 5866998; 120023850; 133161029; 913061558; 862680452; 919325076; 735070298; 755509133; 488549130; 167097860; 663374198; 958558114; 237797084; 738876722; 69897176; 622036908; 20773703; 198911393; 882276648; 213474517; 663879043; 298933443; 539105291; 673633430; 401509436; 762502164; 451109272; 761587652; 562746939; 852902984; 696317930; 639349593; 614968982; 464551421; 72389666; 973367762; 392799204; 604231659; 655840797; 154843791; 672664957; 528774345; 875322047; 134315584; 702289357; 696329815; 930596281; 780499103; 826487285; 812403644; 84109844; 265555797; 214702768; 673128025; 972878785; 566505595; 696537364; 240381881; 626093658; 439651814; 411097261; 44138197; 563679206; 213671936; 386277771; 852121757; 268984298; 384539785; 432153400; 39123336; 20061071; 113238402; 273233902; 563262824; 359263262; 301215010; 776331397; 534434523; 32111681; 708643402; 79270473; 492220422; 448906532; 240149550; 285071050; 830679570; 442334689; 547589248; 273166447; 293603265; 917728090; 154885404; 704186889; 280962986; 331947899; 107563918; 157581709; 550548875; 828520255; 972712775; 241100250; 600337807; 434291152; 438328130; 868016050; 971072701; 117760425; 583827634; 566894257; 669369169; 960856252; 244542890; 939423815; 442492299; 679618046; 114206061; 765678173; 614217440; 885789173; 874147525; 114193954; 639073207; 36282682; 662318695; 81401973; 307460332; 151815230; 792244099; 588692784; 796646594; 105459461; 627220796; 176727226; 35812346; 829757651; 449016539; 762519514; 48324276; 667837562; 801939567; 503091892; 323615365; 386089691; 348923232; 185290190; 306456258; 102529322; 241565984; 467509772; 470796288; 558539956; 475405728; 96143340; 728414541; 194943790; 333478252; 245999982; 385332591; 108428943; 725471738; 656643240; 664685056; 368806377; 641141657; 905211907; 94157687; 574779326; 161319103; 667336384; 963309223; 118050397; 621154537; 626459250; 517130106; 251789890; 837208416; 140051916; 831456440; 747530017; 651615975; 542061173; 858942148; 802827342; 837497770; 302197066; 161216407; 739151491; 699012657; 699777759; 294932766; 850383600; 780459623; 626672487; 871393900; 83151519; 111159718; 583768878; 128731021; 858678479; 520115293; 574683867; 721681443; 818199190; 499756442; 713261972; 602469347; 588343083; 772807447; 714224221; 511437051; 431922344; 813823153; 419839852; 724210079; 312589211; 822837075; 438173502; 324826140; 23332216; 913037906; 693399833; 606829358; 531476968; 401148591; 48322304; 902852426; 862864779; 640027679; 734529508; 685267902; 814563804; 182081708; 434016391; 187261589; 162449424; 746632311; 911282068; 25909645; 879793864; 320691492; 869609801; 30386503; 36949865; 821997009; 784744975; 348709313; 801577727; 759825091; 918605367; 263001650; 611074450; 390066065; 975304497; 833188341; 807186857; 302075169; 571413862; 852841876; 727139522; 137163392; 94834425; 494286255; 395025956; 872445131; 473629020; 779751256; 442945011; 595287504; 564070805; 967136974; 699481149; 538349798; 990460938; 227591845; 992455486; 548118845; 754204834; 728064738; 603335429; 203725445; 16995429; 860820789; 781857029; 757787644; 678927853; 522481343; 695726243; 171134351; 493202818; 508581586; 399493312; 743745851; 367907266; 569185189; 334914428; 409358203; 583800104; 614518027; 684660762; 575832; 84581676; 696573066; 300054100; 861641350; 805471511; 566386651; 859308511; 955579608; 795853687; 399302433; 922699334; 107011939; 330681331; 531111174; 613161787; 588447838; 776468559; 319031988; 897444086; 904050267; 44163812; 793533073; 129119245; 79640010; 80457533; 715494396; 163011946; 666996981; 623957701; 948683850; 646836834; 45914075; 751909710; 393597030; 989813117; 53976933; 58852914; 407051678; 237759429; 591126181; 552615834; 258926681; 397002565; 712255454; 460756184; 555968941; 82551046; 397908341; 975637687; 226315469; 613995726; 761569069; 691707774; 232158030; 516991800; 861202540; 604615899; 482615942; 42169926; 415927194; 176547303; 283256849; 466679486; 871346863; 803667359; 127784679; 403070481; 251376881; 288304714; 237565063; 635937530; 837677030; 973430536; 138622287; 345801904; 566908256; 207177715; 765399502; 186676109; 308814751; 999385648; 283548388; 925754910; 477304251; 301331491; 469556020; 851016568; 921441632; 950958756; 934150407; 777927592; 206037758; 707553691; 532837600; 277751833; 239616929; 215502565; 400499284; 759022669; 684853999; 579304186; 825319189; 982605613; 557362588; 864889364; 818001390; 262246786; 666190354; 303037119; 634058718; 458250180; 730089384; 25073099; 201942263; 371400416; 455099861; 480574689; 838908508; 78937132; 650686309; 134227920; 611215201; 662554011; 417283355; 69853065; 826949645; 891557007; 195499529; 634090769; 224524134; 557334479; 657915709; 103678193; 826842833; 597643731; 963011767; 832278762; 710240957; 944055420; 109440396; 534805631; 86756687; 263558710; 531054638; 759695553; 429034301; 194042189; 723770632; 226463842; 959398312; 594781355; 381289548; 987440787; 240466640; 289352068; 209633412; 84088109; 221406416; 261534703; 487262113; 893555699; 49727026; 758270531; 440537927; 693422199; 125709750; 694556174; 524262602; 136776658; 222599299; 282197189; 316303308; 881595146; 311829581; 685211921; 660411260; 107858599; 649385801; 160764717; 463709625; 239557001; 450710191; 655041183; 233864053; 721870953; 720674397; 612582625; 30237916; 332824078; 927775495; 429255452; 315826481; 44924671; 1632733; 427349153; 299446153; 536876098; 794702743; 571765087; 937955674; 879867155; 38268995; 948776618; 830918249; 421916984; 93474830; 366358544; 71673456; 160592027; 825980392; 97331393; 926344840; 291628927; 764275797; 62976013; 862901408; 778186302; 218566311; 507546530; 403691673; 402276011; 489594848; 72859078; 929263493; 985535621; 491990909; 40310327; 639147636; 109283815; 614489813; 152849722; 985346813; 550108062; 615077055; 331015757; 262712602; 923347104; 991210218; 35634196; 416254915; 69705296; 29164375; 906825081; 480680483; 639854940; 326317508; 745836601; 920679994; 468841364; 889349557; 658222426; 89914959; 222324311; 808749231; 286389297; 500293440; 999131491; 658274684; 170054527; 609522251; 350391180; 797925628; 933002381; 676038769; 69680793; 200293054; 175443543; 972069963; 937761872; 787227143; 972448618; 544377855; 597421304; 113072731; 43878668; 626305961; 428290313; 214228782; 268868660; 487196138; 250829040; 851886275; 324614011; 792849914; 248864575; 830669461; 176179204; 234297500; 690942664; 684491603; 527921792; 932188830; 704973666; 746280595; 711769802; 320866376; 942701559; 767508423; 14403596; 309979060; 739160281; 749485580; 817225519; 529906225; 1142328; 258508388; 292136958; 489424182; 620510235; 805788649; 537540126; 141900479; 265990217; 878897486; 811007010; 221247335; 136057364; 132385717; 663304201; 705502213; 159518189; 62428701; 896269668; 565330184; 523216562; 308874536; 401056765; 421797868; 558290064; 251506405; 677369110; 871955689; 804859693; 414125018; 518154459; 716471676; 828714958; 929640771; 851886835; 28864389; 13329733; 436416482; 892515573; 703609216; 302110312; 873889910; 89743727; 189945587; 377477672; 225405651; 695626637; 471369624; 122456937; 582448871; 699335272; 28199052; 558150224; 357619669; 367398709; 690872423; 151493886; 146550356; 415646465; 970717198; 30688595; 916347249; 688123457; 772741299; 257742295; 16874089; 613611520; 977352271; 244690699; 983032262; 464891062; 127552597; 217927317; 703447646; 417562767; 813248281; 446517485; 795732289; 376956185; 905642438; 937927833; 199794998; 983062219; 709445263; 876619589; 858399344; 826898086; 185065764; 888959001; 6753513; 983157419; 978176091; 467673220; 841158021; 65760688; 441862907; 225514888; 414710599; 48483932; 357765080; 455300000; 573009950; 114054312; 630263741; 942846532; 608134306; 485310252; 656209820; 695474766; 532939744; 867105412; 325437139; 923580059; 131705618; 108276195; 958710003; 625676290; 245607319; 724375610; 169969437; 109631770; 408869434; 74777037; 343337651; 864273026; 963233796; 611031576; 262466173; 388503915; 473057168; 91780949; 64076062; 165364076; 280500121; 25482147; 404464413; 186447069; 863420168; 315743204; 319631421; 737802783; 999023723; 868070650; 347098762; 342376240; 127664225; 883140574; 943350526; 906501003; 796710086; 689405738; 15682480; 142103341; 130196063; 803607098; 979724576; 662988846; 173320091; 632428762; 64490504; 331002556; 138769136; 733308826; 721673361; 514428221; 421757756; 495084702; 443217709; 91779166; 168063047; 653259349; 659920567; 523958696; 110564873; 38109922; 695630571; 220177351; 850042884; 634320746; 865702399; 852431006; 117803561; 634874846; 922687852; 835948236; 994704580; 759656552; 303231365; 443059814; 850646492; 858103444; 84971821; 488574348; 353176569; 434615677; 574481059; 979660060; 379856429; 217819498; 233195388; 403029131; 964035749; 508466420; 815448090; 632544668; 490475444; 378456235; 48336836; 656107281; 285194907; 563958842; 844279581; 319783385; 38134797; 606268558; 709664562; 150615120; 791928493; 872140223; 726922407; 920168155; 395440568; 339324359; 37197099; 832755052; 39524151; 216349392; 640740033; 586217933; 992543156; 29361668; 743797058; 300668788; 31805339; 61161378; 207564607; 752813300; 281613063; 351305187; 264533014; 120946241; 414888638; 763059773; 236341819; 153782726; 467791887; 102796823; 913755259; 28611466; 625487617; 400799812; 354955600; 954800329; 147425650; 345307262; 414047907; 299916843; 809553400; 622724863; 563077761; 409248405; 217181086; 154165808; 387939180; 66919547; 263192439; 52482756; 100986340; 611388948; 959266272; 299654808; 73991986; 432843148; 506818650; 314083677; 626793674; 990875964; 133357865; 100737104; 565138255; 447835122; 646016895; 129639526; 865203133; 243949290; 180635629; 455804564; 620172148; 774127262; 586600978; 45493328; 982667994; 334670139; 589171730; 104718985; 236218869; 943510201; 187272946; 11806464; 257200591; 226688115; 931999703; 802772525; 68554126; 426554423; 284561093; 528223042; 633638208; 141421337; 518606315; 362429031; 656441999; 710120582; 669143937; 125036247; 16382720; 651473338; 593577370; 78221298; 294785061; 814926071; 100018350; 412182430; 272879389; 79512662; 590394388; 541446497; 557608324; 144820076; 902995173; 641678122; 451051454; 952661211; 456454436; 769811394; 979806610; 697132782; 209790219; 915828287; 524077709; 930434222; 649803731; 753915091; 119030227; 925041698; 591558273; 559324551; 680042590; 856937310; 332831608; 732450608; 315349113; 651846899; 836164793; 561362650; 665556097; 242256528; 961688656; 660636940; 543349559; 68253275; 968519451; 612859112; 366433954; 289292399; 368903169; 739068016; 511485827; 38375135; 92897007; 808255138; 321966660; 521630559; 366991230; 107976879; 863584012; 291846078; 971738005; 580909849; 972071470; 307152252; 437075702; 734978222; 678217304; 89889168; 412756984; 30794476; 129228774; 229966969; 881992849; 886949055; 342076186; 945521303; 466537662; 442928461; 524043244; 866433946; 69723368; 84819776; 956442870; 826203662; 596192829; 155556651; 326438216; 642567058; 506074538; 985879459; 415328555; 825977083; 356526561; 412833909; 983475287; 402844668; 222673328; 667746111; 88335; 334670335; 186244458; 705803593; 149610274; 578128623; 656565232; 821037087; 493369825; 333606060; 713062893; 52867007; 50453348; 72012328; 124708094; 316292502; 494121237; 618518228; 936229617; 396833072; 701226853; 460130898; 460420957; 425879218; 897549123; 365618042; 535534433; 386313888; 279446014; 98908916; 911069855; 197404652; 323965096; 703242353; 950613079; 622073237; 790866534; 683714703; 365397913; 627884163; 496115425; 238238419; 331380084; 448316261; 814197834; 864835816; 657283935; 632585702; 730338847; 162987065; 420666371; 601255937; 751592984; 682995408; 672578076; 676003829; 260867174; 814204727; 60658645; 874973292; 542403524; 538641613; 715979569; 517727372; 360560699; 933072414; 409835321; 994175753; 624490943; 425573674; 856114331; 499028367; 496706754; 384402113; 875296052; 320736484; 985358062; 137606207; 635016806; 895064952; 910471231; 286731309; 583639987; 312254013; 23351156; 223573833; 231697587; 913972019; 588856968; 289164451; 952657985; 56514426; 443961193; 748385507; 783305454; 227503834; 918796591; 211350830; 926959253; 307469751; 937490055; 652599567; 804542573; 683175920; 583120721; 348232648; 252793995; 905129641; 545840268; 135262932; 279796030; 697961521; 912946580; 677180053; 558865595; 892120597; 732538916; 239622552; 659529771; 64348669; 194646212; 799512265; 380084958; 997828410; 443069777; 319116170; 859655; 760466474; 102433733; 397852824; 445257080; 255190290; 710414135; 879518521; 866933000; 505433697; 768443657; 614584561; 13114318; 41067678; 751625699; 246377897; 121730467; 464573398; 961529099; 695150345; 596470153; 70299717; 329567356; 360739005; 891708866; 321887923; 528588112; 869050551; 432183062; 551308129; 889102543; 64056587; 814105749; 572849910; 514942417; 256362972; 895551660; 111152934; 46202697; 522605913; 319169115; 482996753; 540976797; 90594092; 277816433; 619986931; 644946253; 785542655; 393118180; 562435030; 299358641; 865988389; 279569714; 317306404; 367811344; 994319821; 69771629; 365322102; 676624544; 869878468; 947011790; 259446984; 798553214; 193157736; 82004334; 240904228; 306241642; 608522820; 441950066; 72584146; 46955653; 874884561; 215898194; 160981070; 454524520; 470765465; 732686821; 162614854; 800720567; 11393600; 61747714; 267991038; 408159318; 253256961; 695410822; 906477182; 638048170; 52192456; 797050481; 31414012; 914355121; 836022385; 579401981; 444541348; 130310304; 597434549; 216333820; 705433333; 920473825; 674064691; 318799030; 719267304; 110914796; 855493851; 797029490; 789915141; 131560992; 726332702; 297539891; 276154017; 664756231; 317467178; 926510643; 873485250; 156373017; 897072599; 86354322; 102952679; 113599135; 350571070; 190103607; 820326638; 564642599; 954792737; 621794314; 569099223; 109760971; 694271918; 407637669; 653580050; 446869863; 22622101; 407383992; 678539798; 648661199; 627676734; 47253040; 137969364; 386710064; 92123346; 778485489; 155339330; 169205834; 451290497; 678816085; 682924058; 195107805; 379695210; 438749049; 404098797; 689127754; 277009286; 972012276; 620034900; 937045546; 126988228; 880181901; 645719463; 7484471; 183521962; 243113618; 794877893; 739381923; 785285842; 860597950; 557679723; 420421739; 135577877; 797955392; 259967586; 10284984; 319743978; 212226708; 57161610; 631996999; 44664747; 375825475; 518807641; 49850652; 593627241; 667261356; 873366556; 220620718; 730051929; 780645822; 639171262; 118982350; 516881388; 697238823; 111159130; 5309780; 94615398; 744978639; 646328127; 322422428; 861151214; 744957294; 533446258; 586921489; 279567194; 634356441; 13354743; 968033930; 784016190; 963335521; 390928660; 561807264; 656514967; 537954042; 417717415; 681562930; 206744976; 232869441; 291813145; 631667697; 380938134; 609139059; 927497046; 259066983; 44304759; 482519440; 433381055; 212838454; 255114963; 676814328; 534083123; 114515705; 658559578; 677336240; 819197877; 469745866; 327975716; 253589930; 230633489; 356295266; 490159376; 978858616; 55543276; 268478496; 487512416; 407075560; 225931026; 124608654; 27609072; 926069567; 150496858; 454482375; 601087380; 416732994; 603174813; 811044233; 964304594; 71086763; 974753871; 838075457; 921599061; 205972975; 409965194; 72838056; 292290751; 53682127; 182033517; 127696384; 670598146; 819599190; 318587142; 909002182; 195599617; 577596322; 259828490; 167798037; 458966039; 786594878; 357303948; 429479640; 745432357; 184849031; 251353720; 557904512; 298548708; 220028369; 339142691; 247609685; 236627203; 609234625; 466842732; 787887082; 51850892; 905760001; 187672640; 675367682; 329645424; 338150060; 569144281; 641343174; 419830881; 554578661; 568089090; 200828316; 749123665; 723837373; 664234571; 384976114; 540311658; 624903566; 329303896; 356923995; 215647556; 512846226; 934960870; 915227807; 893357593; 628580842; 138941801; 499039833; 145729775; 924146523; 192771927; 424711046; 650156042; 485894293; 447550896; 873012795; 181343395; 394447265; 662082518; 377161172; 80522759; 929687211; 146060910; 212747210; 384759104; 872206866; 72895856; 987114098; 282636087; 835920041; 461401168; 604939327; 34607047; 554576062; 123802863; 385191337; 897493567; 173325079; 627255978; 461574670; 957565805; 577493571; 259339878; 801704543; 577823155; 27751917; 303801050; 905144614; 18800650; 765608591; 23461802; 394673264; 481402720; 440709996; 791094131; 826399675; 348779381; 737296056; 647561172; 887497770; 535825711; 627559243; 701261119; 490593800; 911616880; 875009832; 633530613; 849099437; 513216190; 974014316; 334827231; 551649428; 321019835; 259800720; 909298892; 2989620; 289912454; 123233798; 166671367; 592503741; 459661918; 736546448; 558150914; 165459991; 96092449; 842355536; 114668567; 84946560; 137337230; 503873974; 823903357; 690902118; 690626675; 626897175; 164607283; 320889242; 50011343; 127755353; 430451680; 300211173; 427592558; 328410620; 226799466; 574417349; 854231673; 350680094; 675775762; 177508305; 620542375; 143947090; 416184710; 887184828; 895119644; 652848913; 153104910; 919880955; 883005557; 787837531; 216705858; 756964219; 270155939; 232113706; 171910521; 244713279; 819551208; 797188853; 714238660; 941802280; 731701702; 547181071; 366982297; 489483443; 469586935; 996289406; 918974786; 771079459; 658655802; 283641500; 551862865; 2351208; 841219132; 702142668; 421063136; 979635820; 898228114; 596467748; 106193108; 125005636; 132099025; 208870913; 35046893; 113352656; 428530969; 195723454; 711429404; 641959542; 809958628; 743897236; 259479536; 227146695; 253342035; 61838387; 5795974; 423948939; 854407646; 66679715; 819541670; 982856870; 779745640; 424009568; 678339871; 270516766; 673337752; 770973685; 20942047; 30944454; 453219694; 917241787; 836822204; 627177389; 584114513; 413031704; 422075571; 38663092; 610854081; 743200341; 464997624; 703571229; 136046584; 994945642; 568951029; 385882524; 765717828; 476509896; 940774087; 127219979; 186570447; 709676610; 489585499; 1443236; 597599525; 322795455; 342348303; 474424537; 593169833; 742690936; 625851396; 411749664; 350233742; 80237999; 538058327; 39263825; 333349607; 875895564; 18747541; 444239139; 965276407; 666501965; 920214448; 85320486; 919559051; 92676310; 946942202; 813780944; 184868264; 836615685; 426961616; 656944087; 390292997; 776322841; 444774502; 799062032; 773675673; 469943891; 867788472; 604395078; 398762254; 114826469; 560177600; 631547006; 185882407; 586606962; 277309594; 328219927; 801181339; 98624434; 471654779; 814972017; 476202924; 762447762; 387936519; 555272470; 657758930; 679362272; 258080662; 51146410; 300217713; 581637852; 888315118; 383516978; 399828867; 969535486; 675905811; 31466996; 302303187; 77068864; 157281984; 166431492; 369433553; 717900129; 795643852; 414455989; 478177603; 824658223; 691652692; 377296825; 170109237; 625296438; 635765545; 62921760; 684432833; 454730336; 788369280; 371065401; 679626059; 396261570; 848030403; 796328586; 807830466; 166503944; 58903384; 754929429; 785731882; 258898570; 325158677; 911851784; 881641879; 242285897; 74214998; 877514547; 283643987; 570003855; 672502650; 635011935; 384251142; 742272896; 671682847; 182786576; 235181706; 119850480; 928337602; 956480100; 385775917; 756474847; 80113207; 298287164; 481212861; 579690928; 619058875; 927351804; 656379429; 817890360; 406204759; 90389579; 274033354; 224695927; 542152915; 150434443; 843586896; 293148839; 154552108; 645768578; 288541661; 600938933; 197726130; 875108493; 156011402; 823560887; 609682975; 230304845; 948083694; 91734809; 832432120; 391705039; 372425210; 304451490; 813269367; 301247837; 753118233; 467555492; 405519905; 250686002; 298338313; 340027905; 753744201; 742890590; 803775433; 232789500; 259411870; 795513084; 367178795; 340840830; 225548531; 533916112; 717231374; 296856585; 448298873; 218987194; 297521247; 632568643; 58610839; 205930254; 809079897; 168478252; 182378498; 591510822; 421923122; 482270448; 911925825; 846502901; 589631102; 41847154; 216377025; 231226297; 27005902; 637769424; 255163945; 502841172; 622962497; 655161523; 75953562; 167580681; 543464759; 477808433; 352505861; 562525485; 269529512; 553773987; 403207609; 351198466; 391127893; 969124675; 720844546; 650646949; 709807198; 696739881; 941643240; 560668841; 197009119; 842696359; 478965105; 405021624; 416249347; 462494658; 551509551; 7712305; 975878289; 442681025; 993139279; 759536424; 543389648; 176666397; 501543846; 708344410; 577239237; 610206485; 723784393; 106792669; 529996148; 148341243; 252758591; 104845275; 164578758; 554993768; 341862314; 570471669; 158267010; 675262496; 932698519; 110763450; 781341649; 110310876; 941157979; 335312233; 258714923; 676977836; 998414953; 738699134; 744135135; 859372106; 43429391; 575377689; 204724476; 107009627; 947911586; 15869346; 185038225; 444621971; 563099458; 986588469; 181151652; 113726489; 802213203; 218527562; 796958915; 783882962; 780502635; 49275560; 231598484; 362894780; 276183626; 625756056; 439591964; 908850264; 372220574; 635558262; 173393292; 805333557; 411584307; 577734571; 657025679; 55542705; 552564650; 750785670; 849141994; 719578091; 917739002; 89908785; 69455345; 568377575; 580260708; 908439174; 897744100; 282636764; 623985599; 160118743; 48683448; 272830682; 603536167; 319262460; 75681071; 887491630; 825789688; 730043097; 941109105; 417295007; 953560569; 463694234; 239006976; 370067410; 809420022; 442306713; 345805294; 290326251; 663008784; 804091273; 144706462; 49277925; 692802773; 139154327; 248501979; 212967463; 229923910; 816521422; 338249787; 736145999; 929710810; 792077164; 848377612; 369579188; 716557408; 565126946; 504184837; 669561120; 958230595; 136120636; 82785331; 967169522; 368370448; 82788764; 349907686; 880706675; 314768269; 602917099; 292040982; 689780537; 775555000; 186388852; 53356013; 259084139; 889727743; 977935918; 590902354; 564318905; 888146839; 434348180; 162753917; 306934182; 657605837; 281826696; 156231281; 178503497; 960122313; 118852907; 678748511; 816320858; 20189644; 550428175; 579870494; 585488079; 504063431; 628328306; 753047340; 614501165; 504162618; 454987754; 861229313; 20160608; 501696146; 806409907; 6919524; 933765222; 508417063; 750077412; 922599538; 129059489; 42034339; 658971765; 990659241; 753959682; 235322914; 467435340; 60561543; 659495361; 331518899; 941342485; 238453278; 269713234; 35418962; 615509261; 596688092; 209502521; 870976832; 489625610; 137566968; 7339360; 950115254; 887409324; 124228550; 264631775; 836728561; 385563947; 520875683; 769607608; 620859571; 770663243; 901597618; 831253556; 409038628; 949321001; 97493248; 985622540; 745249637; 121263802; 418578966; 401434237; 943632838; 870388272; 656892166; 70607572; 481100706; 891547394; 661208723; 686294341; 50301254; 928125430; 647796178; 219009988; 256894817; 757659514; 35710526; 543669638; 649380493; 87812898; 886341723; 653448763; 831185727; 59237524; 880073479; 426967573; 682752710; 393475179; 791402228; 100429173; 895043820; 519685094; 435289464; 63268264; 222981613; 586934130; 219946627; 326014124; 720844972; 69205971; 751185606; 984191240; 905429109; 932822023; 447268020; 920422821; 748584619; 4630263; 634656595; 447385985; 956848726; 261006887; 54989379; 404841551; 697667794; 74532632; 732600633; 601728695; 768454286; 919088173; 979915187; 267299213; 898496394; 951293113; 497152370; 239385211; 224400973; 800734808; 590240940; 601681780; 358271366; 201591433; 191817467; 29991814; 456587997; 698747433; 488217725; 747660236; 928936298; 128542204; 741443821; 225023819; 735034740; 70724770; 1646273; 988490251; 245322182; 482837911; 552467882; 853119315; 686318174; 618746117; 928227495; 333582023; 300243931; 336478037; 986394858; 788013784; 911264017; 541449491; 874561718; 924167550; 24330452; 708056581; 933697008; 801901448; 366141358; 990467090; 723730440; 686255749; 451054324; 575963693; 995500499; 270875822; 484587253; 56066232; 232872965; 880421704; 492937357; 324017720; 965225281; 57164794; 666520521; 418964865; 328039111; 343888249; 741245988; 557328849; 405327858; 102171260; 464451944; 136565691; 735941584; 9426223; 546773591; 185343008; 58159322; 57720213; 518236562; 854747925; 335118930; 547457860; 334386770; 684316156; 577948686; 578554494; 449501710; 483329038; 13115415; 10576036; 598112184; 369967193; 439275446; 48486010; 951811357; 10956486; 210391001; 665911484; 370913759; 969912885; 191297205; 171338558; 987401292; 306686616; 380225618; 557150079; 908958890; 92407071; 622849368; 901605450; 501324825; 411893001; 486231194; 76794408; 151944512; 895214832; 370720469; 175464887; 967403099; 195754213; 45207711; 382329183; 365128656; 244368179; 296917725; 60342057; 356988798; 707735928; 844591244; 697253443; 763401059; 883614664; 713510305; 769360856; 898069158; 455795300; 993624297; 637229075; 912348098; 461576850; 331296406; 391385762; 376072761; 767221291; 887280720; 563397679; 996624332; 552796969; 390587838; 784414927; 251439043; 623413502; 398755555; 857660575; 865296809; 298532027; 604387977; 792774909; 134896495; 887684076; 652331234; 430157182; 523386290; 809655682; 388286779; 775644888; 761828453; 767616630; 211517247; 882379655; 214128765; 73659053; 84672046; 888096838; 818836160; 610136320; 566776336; 53591649; 161440735; 848208206; 678210677; 895039787; 249525153; 275801780; 385811820; 36587030; 544909242; 137037701; 403009653; 811217222; 916071867; 11036614; 334238332; 448465205; 878746344; 115402531; 667282659; 412706944; 942913411; 203924151; 245317671; 670120514; 332087399; 116256747; 908736290; 837807539; 691432118; 494539906; 123015003; 613080528; 674381879; 10045797; 407579800; 607064713; 623203825; 538873656; 567451080; 107072883; 325783589; 932514673; 465210199; 185099822; 718441180; 283895976; 197619583; 175023908; 649455062; 944312074; 515927006; 726912101; 339327562; 543916862; 829906194; 108809742; 26366797; 154802754; 674713035; 82991680; 791066841; 811252369; 39694931; 470385497; 889067910; 693919051; 100461462; 604076231; 915400240; 597691644; 850823921; 350938437; 202841347; 434629485; 890691573; 366442987; 83261931; 404186868; 627403505; 165444841; 819619854; 329928806; 952909364; 353866108; 736173093; 260606388; 735748986; 566646948; 492054274; 138349980; 540224499; 614211567; 98241539; 516768194; 98039352; 231507108; 325037696; 859297363; 766527945; 732588903; 159042797; 333471430; 670882081; 110713335; 246626641; 668787373; 302156527; 807633970; 646236761; 469328975; 661117685; 571716013; 774810694; 203427768; 119938479; 315003547; 602432579; 564776564; 390950344; 946446471; 247002363; 861299576; 921249430; 11567576; 833509471; 957965625; 287442462; 946468092; 559613549; 820115485; 786665940; 365413169; 37335069; 595802888; 351460393; 995403477; 258531273; 429947783; 458128753; 58521654; 531297797; 999713614; 98999647; 499889442; 300066058; 949672483; 219968673; 405867023; 844785871; 125305984; 88483777; 730030604; 966010260; 653186265; 936250054; 338125684; 304312684; 248760642; 996374552; 757017067; 11992666; 465590865; 296632425; 179198389; 939794171; 563761330; 396727205; 615303663; 809783226; 878916310; 472632942; 387105198; 559978693; 508878350; 866002959; 222880250; 555629180; 657701745; 245655496; 194031571; 250352452; 36348499; 593289180; 160503410; 341368159; 506849603; 419989635; 692592449; 67959855; 30722487; 726862569; 68011459; 887272636; 648246519; 302143968; 11166347; 501832105; 10752737; 936581358; 539301720; 141661947; 695743148; 526622548; 834091317; 719885165; 124351451; 663179605; 317123440; 296772198; 237218234; 332528047; 163055049; 209966672; 765570226; 287898654; 661527397; 156627488; 480977593; 671071696; 590745910; 134963852; 275216327; 996818326; 613796596; 194438333; 336656011; 544374207; 973475813; 539688027; 678455136; 690657547; 921908014; 528290630; 839967283; 151584452; 732596874; 495843446; 941381590; 780490369; 834553417; 253507148; 909617857; 346199140; 892463506; 18736290; 244182566; 183614392; 244448021; 102536197; 465531758; 721454136; 804154265; 578459212; 727191744; 234526706; 458036611; 745324145; 212809774; 939329167; 558322793; 686237182; 465690551; 758727832; 58470321; 621548009; 258051478; 614680952; 476194201; 601734746; 796977021; 118504284; 31390794; 358923814; 480852403; 3831085; 513577593; 424368251; 339598414; 269514604; 766718771; 944318412; 858994897; 75289284; 170410253; 29519955; 520515730; 469687788; 633303116; 990497355; 325167870; 550847730; 140751732; 450575616; 396515781; 794958108; 776549143; 706957470; 921813304; 811361222; 630910650; 174701961; 590526177; 676602876; 149261647; 554566391; 633755129; 19095875; 608484778; 234138702; 381591406; 651403233; 747566384; 933067885; 253523396; 307356742; 476004520; 145586731; 177759478; 135780158; 953245998; 76384609; 241435306; 881403715; 905244188; 842422005; 617983850; 944381610; 462246273; 966492081; 934429864; 842987250; 950935989; 711424157; 299546742; 688827548; 738190854; 574413117; 676095553; 574015896; 741718254; 751481621; 432357116; 260864806; 655998961; 770761456; 273941326; 360473044; 612348390; 173057240; 287242032; 282187659; 246877878; 232522499; 320126814; 533270196; 812909366; 885771285; 210485997; 525414848; 878486975; 119227042; 35191770; 983810980; 568853996; 912903439; 951261852; 898466728; 594765429; 695111842; 364844759; 79135125; 815421010; 159164806; 819188100; 662592801; 340074258; 654452447; 980546017; 984931806; 337189927; 57207171; 685347986; 78391590; 840114054; 388067325; 270561656; 89513581; 806317090; 465287692; 590492558; 130903401; 531698006; 484540677; 188143912; 384258830; 499491235; 109879738; 482698812; 307338820; 20239785; 978046260; 497384198; 271422425; 330764669; 376647163; 9176567; 860505292; 873555595; 701885829; 801750355; 15249149; 576471011; 639194711; 334565762; 282666503; 694138710; 839544612; 76912267; 806768370; 610392575; 37668266; 603920674; 109729765; 39904926; 870253981; 828795385; 43315484; 846228159; 925372794; 591546770; 727650437; 29313655; 896657059; 155687473; 146535940; 946416071; 520977226; 856571671; 259836483; 372385906; 299298268; 975818880; 103283100; 768893544; 259509164; 174994002; 758521052; 855717334; 541686312; 7425253; 470343952; 293224257; 250328388; 464955853; 496008969; 635530890; 440218795; 341341651; 665732677; 405265387; 426222437; 3947841; 407419729; 97480774; 127344215; 909068964; 849833706; 529960859; 343823784; 611955269; 474280356; 272371842; 280586939; 830284240; 730114546; 214504356; 529484749; 283432734; 771021693; 590571037; 385747656; 105246842; 247171286; 686422536; 268902733; 392441581; 729372664; 838304016; 599309744; 61581289; 196659566; 212614129; 728984451; 877740502; 201905088; 833843956; 766594710; 435965004; 255002512; 42360721; 904498354; 411931602; 493645517; 696369003; 187987848; 451882113; 164605146; 283967550; 547320866; 480633457; 1299001; 321704953; 537484900; 584055665; 359024926; 634252726; 76617499; 330759207; 356552268; 159389287; 337637485; 264529225; 769990461; 821483268; 22148366; 552443306; 641229743; 234331060; 859954010; 715736194; 552313519; 36161416; 89615507; 498023992; 469097902; 48162655; 788692501; 964961643; 546146478; 829238469; 879369307; 666749872; 408001223; 210660707; 474723880; 121949222; 721458644; 192201422; 857939053; 734935884; 117198776; 606842697; 994561447; 574979338; 769082795; 446013358; 742967125; 64239212; 202995410; 315694411; 183405440; 679759000; 270539944; 811105729; 292315539; 906899587; 280744119; 606467387; 462030700; 746254058; 659323293; 766081454; 38267246; 456606642; 670466142; 611187577; 43090301; 989708596; 541495606; 610164392; 596757947; 397028009; 202452449; 453432144; 257271054; 249461136; 889228834; 642555183; 806462418; 213483831; 370901056; 383531085; 238523389; 555589373; 5693737; 565832111; 67838823; 542629599; 469752695; 763553783; 225724499; 503579017; 842153626; 629651635; 160059973; 495122142; 376107435; 55085150; 739608819; 387833257; 110649110; 87390086; 622032501; 597633210; 82367321; 830075364; 336915180; 952037378; 367766169; 421108110; 622635197; 314112723; 968868271; 544987487; 565451730; 873197017; 754811042; 483569513; 302996654; 674681588; 352377702; 611631305; 328705710; 627155364; 692501139; 993050003; 119532424; 214491664; 247121279; 358658426; 818429743; 856165331; 799705485; 144024234; 293821803; 471678405; 338076307; 183020553; 491755920; 595439578; 660371979; 215288345; 937690577; 650678750; 475679817; 693495245; 682119011; 40560331; 111716401; 252304787; 347789101; 268095774; 654787606; 219462147; 617898975; 353421514; 287543074; 766942663; 969905272; 996944087; 59711287; 913856124; 775957987; 810206445; 798953936; 920805202; 466271564; 838582192; 39953631; 174603894; 707833403; 711421540; 559830401; 774604248; 727309384; 340014326; 603691269; 25680302; 159202113; 12038004; 973851087; 905123966; 456523239; 806674471; 600645790; 676200356; 797459051; 263226093; 507288770; 626007092; 556336735; 791517384; 802031381; 151430317; 325565776; 32092493; 479848819; 810641526; 383602726; 806345027; 926287297; 212227890; 113632177; 552086256; 561608274; 244186468; 750840; 585730999; 924955668; 549591702; 800370574; 315814447; 350522845; 428484917; 793118133; 522035145; 320976403; 742412662; 621914769; 619717456; 699178694; 687730625; 579374595; 876131746; 411859937; 582328394; 330937169; 497490757; 113085072; 807984205; 992693614; 730573982; 724644708; 604156133; 154531105; 158427135; 39918226; 208742503; 877095193; 989288285; 630780755; 291973768; 302385181; 552271705; 800040276; 193631038; 25411189; 23750324; 249236863; 274847442; 94753056; 984934910; 69708770; 263668668; 708226628; 584382563; 725463466; 646148221; 25454904; 495826739; 338674582; 555287824; 599001674; 239776311; 234665347; 522583573; 315309528; 597023464; 486980241; 620585710; 540012947; 829347998; 973426039; 36251066; 924474611; 371877586; 105709527; 20355310; 296623048; 8681913; 255470560; 753760163; 189014032; 650769280; 707402044; 860178461; 311683190; 546266491; 612266525; 903877790; 52652479; 874685874; 178768599; 361337981; 446441514; 520243841; 76656683; 336740445; 327813340; 424955018; 30068513; 657456522; 537396280; 839471187; 495245471; 685558612; 206038180; 161246892; 437425318; 513679949; 790541044; 290643843; 229152522; 116577826; 304758814; 843252054; 669705382; 880492994; 474231497; 37682950; 923932366; 684337931; 813711285; 985198700; 211925007; 458878698; 324036284; 26543284; 845200635; 194576126; 190916518; 529311819; 300479499; 870179003; 113723487; 936246105; 152622744; 10098302; 785739258; 776941730; 395675425; 477692753; 9263165; 723842599; 682054099; 495471914; 7481196; 150075988; 542492627; 45175025; 393203383; 324574162; 395694465; 518789983; 846901542; 439123617; 316625308; 107630930; 991837225; 623546062; 919994084; 781781174; 815972076; 102050828; 542645605; 801193873; 910662098; 887732950; 746209937; 567445644; 806690673; 760035245; 572473191; 264869670; 647599095; 243877351; 1353848; 326209968; 262377499; 180353252; 888486055; 431688388; 675487938; 808527844; 285683359; 446293649; 711752628; 553730287; 724957797; 741162757; 523971866; 903895371; 668502709; 193485263; 295334399; 410235527; 736024415; 862157568; 881939394; 854086950; 28644884; 829747754; 569587319; 483754247; 145238645; 457785109; 467140132; 143372630; 171964588; 275087755; 368479768; 631257597; 719244068; 167172395; 518514482; 374998459; 174331902; 242661333; 502065849; 169725571; 318813790; 410092787; 930361256; 2486283; 667338533; 296810959; 324151549; 465283585; 422039950; 899306415; 577795395; 199501441; 912991967; 797701654; 944263050; 460856642; 605338817; 255359096; 30082307; 49247185; 691804645; 921431431; 702424182; 923873660; 690869875; 923365188; 994416348; 8676347; 718061096; 972396822; 182996061; 329534080; 259134745; 68882078; 393141110; 859312728; 370667051; 467039490; 663286810; 503549375; 654601063; 924530153; 503457844; 324978174; 243948338; 834332536; 460320243; 587980831; 674201502; 548119845; 171064255; 729525559; 286783746; 556107828; 659595673; 157035742; 10258734; 653612821; 24108591; 362770291; 684463683; 259478504; 387721633; 436258639; 320957677; 828059032; 833574393; 735649958; 750849079; 627276906; 567058147; 239953108; 748867012; 387318925; 366702714; 202467147; 88869886; 376987173; 682373011; 934597318; 8470206; 657027809; 494858858; 623883278; 53310706; 753181664; 128252348; 203294714; 3945365; 177474520; 893616760; 300928881; 68584444; 276845256; 253331389; 253692135; 668311241; 287815267; 534223352; 194130824; 937469401; 220888060; 378762635; 777471997; 406937073; 444621155; 373361949; 591204408; 790981586; 10199957; 23160845; 156764152; 545552236; 113653949; 430064816; 378637048; 281688139; 94565633; 285725339; 992609330; 764309975; 446723939; 544743618; 563492303; 773917756; 893593926; 978432444; 591596816; 652377504; 741415639; 57258649; 402829177; 389285709; 864106942; 684869504; 833772901; 483990062; 241114631; 817081975; 851753574; 999109104; 860298678; 83233396; 513197245; 185979143; 934958465; 218108309; 29578176; 284294739; 476431239; 525767337; 146150520; 244767377; 915460633; 690605255; 859627521; 12562443; 918095146; 762617457; 67520946; 433646552; 254120591; 403137450; 771252359; 709897261; 797869027; 995838291; 517507426; 113053227; 382009942; 711902976; 470526830; 412417627; 197036329; 403487589; 825589871; 925589747; 959329972; 524552226; 29975656; 404035257; 531284928; 254699136; 734748447; 282180072; 802641836; 480780321; 878512025; 273327235; 490930805; 122829386; 923350174; 821889593; 616104525; 127645522; 136011118; 189654373; 547648497; 581480620; 400792261; 692975594; 354770751; 651840329; 221031817; 46716762; 767013349; 2528200; 416446468; 667187047; 190920536; 130867549; 389333627; 28284594; 545080443; 481139364; 459751129; 533452530; 489959799; 615162771; 764873470; 462745199; 290221854; 731607064; 828552404; 663905868; 835021716; 6956270; 763383014; 268836822; 58061797; 189126688; 143661550; 136630063; 54446550; 651108974; 720841986; 152587614; 486410113; 925046485; 535083474; 128855595; 349836891; 767944207; 726513138; 586066542; 585632363; 829009223; 617155304; 582702173; 696607142; 627228534; 557276853; 50049287; 238000725; 741891942; 41852039; 148335577; 397682760; 992159034; 872641514; 928067139; 427831561; 113016813; 793171338; 359691993; 176430776; 764981033; 891857951; 776585532; 523488444; 24111494; 637519766; 391112863; 492066006; 785612887; 838229454; 849884020; 698041297; 729251585; 852100419; 943054443; 465149341; 587202368; 914306213; 71906378; 376841879; 2861545; 710579949; 930965874; 127415752; 687267442; 233328595; 898022964; 570604831; 717992782; 51653393; 120180821; 710350296; 573037528; 97975767; 582259549; 634149433; 404678577; 602464738; 345449473; 832950675; 402536829; 718612514; 84364489; 16241861; 300805525; 646974989; 18445921; 744908426; 119643164; 781201112; 26519550; 723898831; 537509879; 126901086; 791303924; 846018818; 235843116; 10059655; 669049877; 662093815; 738816788; 832983839; 305323098; 839224520; 363890444; 98412317; 524229664; 834637074; 840397600; 244544554; 678903044; 829605435; 685874112; 116652824; 939981785; 540311495; 569250356; 961992556; 493173324; 594645290; 371633678; 686444067; 300029488; 384307788; 423441105; 692995897; 195614961; 410815423; 749369576; 975346651; 333380334; 181162270; 519964274; 882265311; 614531574; 813099491; 228390825; 326250577; 316427528; 780990263; 681621365; 876522107; 75133858; 509739746; 837674930; 789848650; 141850046; 270348851; 438419618; 241656976; 46593641; 955585999; 70115463; 725855892; 52018955; 61813051; 155533818; 611158047; 975792737; 806090480; 701050730; 552271846; 669986368; 206389212; 239776916; 991566926; 748287356; 121129205; 134697115; 551498157; 730795919; 173220804; 188642533; 136427829; 594458509; 755669231; 589094863; 783090009; 88369562; 63019336; 155312205; 793751468; 16013005; 560085963; 570036824; 44707393; 220882799; 400841256; 739127931; 790840581; 983592959; 773056409; 310921889; 811904898; 31472515; 49775023; 719626767; 123318308; 398063375; 29726708; 841646926; 667666288; 123973850; 245261486; 264164135; 266553248; 640785347; 461436204; 823620881; 783356097; 925072022; 585438415; 220108709; 181414833; 223389527; 421266624; 705630089; 818670161; 356977191; 581322523; 542184916; 811554847; 849567780; 83533997; 782721575; 991612446; 431983088; 347894750; 676536032; 416590105; 226777627; 129855563; 198042931; 893567457; 269181497; 704794579; 884170011; 754001612; 175543958; 623087829; 227090400; 900379202; 65173502; 732461984; 924291554; 775469008; 462798883; 293852522; 156933781; 54247789; 748268968; 959604814; 321185779; 102155795; 902554300; 335723132; 924543813; 503198363; 156904355; 921463083; 953021714; 41348158; 251357114; 675756923; 220503302; 974130525; 315387333; 622960253; 281990096; 734696309; 994519662; 120892389; 779033576; 877017349; 51019644; 643352505; 745054738; 404571729; 190535774; 964665715; 542206305; 490900025; 183032786; 556141274; 117579859; 290322016; 39444073; 401830795; 978655341; 918550245; 126203730; 445101671; 660785441; 991604560; 906620254; 804048625; 433190274; 132313111; 998068710; 53336019; 271221643; 686185210; 59053281; 807698197; 527467880; 307287037; 525134814; 745783578; 240477706; 187411622; 365800408; 54657038; 717871325; 522998505; 826300287; 937625639; 206807774; 385124374; 841882635; 456257041; 840270150; 502472220; 634167501; 60197698; 684469075; 324091166; 246537801; 911404939; 938963421; 856074482; 470517198; 455518708; 588803799; 174103168; 605169178; 936198349; 806686205; 614782649; 621944898; 642438491; 723130554; 116541384; 551215491; 510102981; 783898178; 216546291; 519531987; 321302529; 981670868; 663746942; 806814049; 157411822; 660622507; 626200512; 582293740; 833205103; 810942190; 126593377; 880999919; 540240373; 402444052; 282843462; 397314369; 677500021; 616425648; 79288720; 786639940; 398618490; 296197566; 577369521; 527680592; 438570544; 403798753; 369575555; 429534677; 970986005; 679032533; 260110126; 238755865; 327307011; 923594372; 76810710; 436176637; 358905244; 820682778; 785511513; 490613897; 580928416; 680884286; 324711951; 616866844; 39374026; 435151742; 448243066; 920599169; 256931703; 1378352; 123205655; 862226322; 726808544; 173157251; 80861403; 784968986; 123805292; 694601331; 550031962; 721640608; 536661073; 957470485; 992616542; 614849563; 864997100; 860350886; 629415263; 807302948; 50654537; 176520556; 256483336; 21057169; 140284803; 364396755; 808311208; 754096698; 317507729; 720234591; 121513484; 105109409; 408097275; 827961429; 74567277; 393220821; 168015973; 223080188; 78860942; 765871002; 24940744; 212519243; 33126979; 503446877; 719853557; 712121025; 799423134; 189718263; 102982747; 9090378; 867224821; 374030050; 747268257; 404787991; 302754031; 921061304; 898884600; 550877153; 397985000; 916771928; 281920640; 346754714; 711890060; 897549233; 591237469; 706880930; 208186776; 861209297; 892134799; 292943608; 441066878; 233628139; 758181059; 963770905; 285226616; 203585909; 503949114; 244625503; 51439362; 148257595; 802244300; 593754659; 390137410; 239804814; 975261661; 739550067; 53238290; 996958392; 917898632; 990227161; 782638064; 383069906; 870771427; 353607856; 467858814; 887190767; 16552162; 809252697; 869458550; 67232650; 392634309; 675700642; 838239836; 461603422; 567275394; 92362477; 368114508; 622687895; 233086634; 307123482; 936599887; 113514929; 110742724; 469988310; 391124793; 573743471; 337301160; 752490339; 748799081; 725602007; 715012736; 459366551; 316978874; 267882797; 795626777; 282541818; 582920649; 141855890; 976064780; 622635851; 765277908; 469567754; 968916273; 941988011; 155272561; 781624035; 608345624; 735361121; 857449631; 998653676; 787203642; 55801310; 378028684; 482803836; 510317322; 987377909; 721468274; 377644071; 777397289; 212008810; 950118485; 926497806; 564262703; 124722275; 527210741; 237055779; 83996116; 743395938; 879311123; 388473003; 354512244; 481981781; 352634819; 650079386; 52129161; 599118844; 255743451; 212986538; 318376355; 867985568; 27480865; 170512258; 422289265; 960355220; 967169398; 246861143; 519630938; 327863182; 246915178; 236606563; 246601499; 59287481; 943090185; 508211884; 167713353; 313713969; 283753266; 583841413; 406023418; 349817947; 207495040; 658270629; 447154838; 664281323; 536161455; 802694505; 785100287; 877142491; 735671758; 81141095; 318101189; 286747824; 322360792; 856616956; 523053496; 810371777; 570868729; 260744999; 374067624; 261152444; 316000407; 148960715; 705829965; 777199703; 427427282; 507984524; 522557366; 724887494; 407368112; 221457477; 806605871; 498800; 516860436; 205542805; 692814836; 810744140; 501441005; 401747357; 407949656; 591221566; 988171225; 54683455; 213602235; 420825020; 299673322; 639116724; 837166891; 29050374; 346970884; 912052244; 889721176; 554432358; 295829116; 259629941; 484382938; 608841527; 291147502; 225078302; 128416854; 924312472; 136952909; 663501488; 14385674; 171291340; 410115603; 239367818; 728664271; 225717247; 565770640; 86585542; 920553810; 352642761; 778959415; 636689111; 23465408; 705010825; 851526461; 550011577; 425818051; 37348765; 825483750; 647063284; 570934033; 604802294; 254938480; 657569754; 334657324; 213393460; 420461729; 33109290; 446335356; 741952748; 233032795; 586306174; 602333181; 741645410; 853953394; 224925232; 115882375; 252845491; 301077282; 187981426; 965583985; 247580297; 823200903; 909428087; 716577179; 633601763; 260876384; 564104053; 807040416; 188264882; 348781643; 803627117; 244990517; 273321004; 725318980; 615572396; 39498160; 730345484; 474315701; 867292753; 341814138; 832457604; 905754692; 231160048; 527208888; 117569761; 964143168; 531537027; 582660598; 634893196; 106488951; 848945447; 789358397; 800635778; 316180842; 477810384; 632105569; 30767581; 596253512; 638851157; 589026750; 626685040; 738476120; 635861273; 314656399; 614330164; 811731929; 715547184; 368494553; 562760133; 41816112; 626983763; 8194842; 757300378; 345687938; 95444761; 8971971; 330310294; 138356915; 844992711; 780811685; 863554316; 662350015; 981756217; 661955497; 512497854; 703673882; 280326017; 676478408; 778118767; 682607620; 794645990; 600398395; 318483546; 999860774; 42112281; 681169701; 389190111; 374479304; 165091218; 179654935; 192204407; 339942717; 514737876; 326465186; 118346620; 512710300; 445580637; 725811356; 377304039; 461932548; 180361052; 807554668; 913720589; 265417647; 848193485; 185943915; 64297811; 950493455; 787253268; 559585671; 341877152; 175927661; 334495796; 373652749; 617406918; 448976728; 791885299; 938738451; 51290715; 295362657; 511179269; 22809087; 670991333; 557855457; 803925120; 765720056; 639287938; 890492928; 640082325; 299594856; 832731543; 388835206; 380333394; 443300955; 272268885; 571256894; 487628466; 691066275; 210610707; 129572369; 869299345; 333074003; 331818166; 133897841; 364810809; 120629508; 640044402; 833482484; 145188128; 250615525; 521098445; 849284211; 679111535; 61138583; 462515827; 107309927; 147410124; 85890289; 318398374; 789104268; 131232588; 471014219; 604098990; 380347796; 783104114; 666053013; 871355714; 669707933; 684729362; 678982684; 905014723; 659892980; 29714059; 607467859; 54953648; 652402137; 349656086; 762828329; 175260487; 105234683; 339450770; 434469144; 71220204; 237299375; 23552303; 427174750; 193912752; 554412405; 403006898; 477540341; 324568645; 947199258; 944542423; 155212816; 788435576; 168303546; 605365603; 176348476; 907402882; 628923361; 954471946; 183235945; 412809346; 500977065; 395080997; 250472386; 804674550; 962748593; 515585346; 823543276; 146569904; 351409950; 472993284; 245757274; 880989445; 295414688; 873027126; 427140652; 991087376; 824675374; 650833659; 470600721; 284006109; 482634399; 445175628; 382763213; 59341009; 959366803; 115887586; 841149632; 801656037; 159396796; 870721109; 894684640; 870024808; 142151601; 976463540; 176548338; 514887022; 96806638; 399521456; 574615459; 639210481; 504723047; 796723492; 619572303; 116826919; 94579235; 116884583; 153919823; 135279771; 415762314; 817908996; 88828940; 191636900; 426281509; 226750315; 334043423; 326769652; 44865237; 857833884; 735101782; 794433634; 948588810; 936509079; 289768996; 453085666; 261597372; 488613416; 67758472; 639039031; 629940762; 900155892; 893599286; 807496848; 141035785; 782778812; 789147084; 820212575; 296645420; 79656364; 777498863; 118524662; 483148699; 723963625; 363829322; 912224501; 239986110; 887182951; 484684429; 138960745; 957646373; 290538004; 440171708; 388706232; 865681130; 729209873; 358156379; 927855997; 340320821; 269180127; 938533825; 84374690; 416394385; 555657978; 625197583; 983818431; 188416557; 261403282; 184150521; 442824203; 803456288; 547608601; 427387712; 275010112; 852538940; 323086781; 58981626; 386846320; 11278913; 89563679; 798411655; 402992873; 280588808; 116911295; 288761403; 995082758; 657556732; 485901727; 186883106; 701672336; 924718199; 609923523; 606301499; 520262188; 270989733; 480436847; 967682899; 330861062; 636803866; 991775943; 171307032; 166368071; 661030266; 512017247; 348145212; 138347781; 631368715; 789559899; 990751422; 494237128; 281065249; 7615764; 730338844; 519430596; 330110857; 35750085; 717076012; 107969491; 893002651; 971619526; 789969963; 919237823; 562307279; 281653231; 611899944; 325082975; 744507435; 50639652; 837082800; 93860132; 596145564; 438928275; 490370869; 885224095; 405179414; 123088757; 874938906; 969959067; 92166159; 699889154; 574961841; 983541352; 318441931; 529270311; 897074337; 571661292; 503894312; 237235732; 538368140; 181015687; 437216500; 388270648; 744903113; 652092497; 489021893; 789428177; 11518842; 140106741; 95994479; 645610049; 819553615; 206045389; 862032829; 49074325; 259461578; 65665383; 242709385; 818714001; 679539021; 742793720; 212362627; 322831866; 680828884; 897051368; 202707437; 602448191; 915181075; 638850499; 733525873; 48090948; 278357652; 108805153; 406270851; 482391470; 716730070; 751798375; 693582832; 338346987; 662641100; 90181056; 796463148; 15491621; 947727855; 401391797; 703770580; 188089902; 647585978; 736346528; 776731387; 900945780; 246799618; 392502427; 933419884; 262804187; 671946866; 64651740; 947082337; 263490444; 923914842; 575594277; 102174694; 802031105; 347492214; 853801553; 734552898; 114742428; 396374789; 744018915; 543683737; 137586380; 690225962; 96190117; 335851693; 239260890; 716578077; 979368567; 483539787; 803765079; 951093732; 295734572; 344632408; 674771583; 847826720; 107087323; 526444498; 212290010; 768165140; 585750021; 615909696; 703634135; 278155126; 721767600; 324525799; 635109063; 974568025; 229185519; 872348228; 846998436; 827400780; 329258480; 291177182; 607572311; 905841432; 389209918; 903761194; 216657559; 126103709; 436082951; 455131256; 20030753; 757727071; 784894297; 914929410; 174649086; 967855563; 50378868; 764852662; 124185849; 700620842; 454655766; 374270105; 711527338; 724012851; 245742454; 952575170; 356505130; 39749591; 154138480; 199024850; 783659183; 860259405; 714117923; 409183039; 585029155; 409237250; 779488707; 349294158; 246047000; 922645648; 174005549; 442272778; 449382032; 44422906; 861828586; 518370627; 646906342; 466552068; 313564982; 230468785; 491703384; 118907906; 342975989; 403044520; 986150796; 473960987; 988596066; 483056144; 899206886; 976220354; 393727457; 738631586; 35370017; 209638120; 663916348; 435648236; 359787862; 386042271; 838972743; 480436658; 717486816; 337560499; 856561019; 189009309; 691866877; 589908424; 690855758; 677043855; 52236294; 436942311; 138668715; 903881266; 644729156; 570880819; 851641829; 119130578; 158647249; 265067536; 319133278; 602881591; 575044966; 362670778; 701496650; 778913612; 800258318; 780771623; 871265949; 797052451; 307124640; 111567894; 510433264; 978617952; 438011365; 667369847; 258875161; 619057842; 403681504; 15036410; 522672305; 586707149; 327105814; 322191246; 200907823; 223097583; 998000572; 214975558; 189730824; 54242317; 151713854; 37541955; 772262903; 206820408; 70239638; 175495493; 804903289; 452176825; 485702295; 408031754; 369444439; 605991969; 768275146; 432871122; 593203761; 260875095; 535117890; 432772473; 468604422; 321045308; 284761307; 573821579; 981280943; 105413446; 724969841; 837388010; 563594099; 313714916; 875058114; 853900500; 314941784; 712833989; 682891818; 448259289; 849915877; 603256707; 336711246; 213445115; 662233881; 956868626; 312091558; 661954037; 307145295; 910499556; 357539613; 952564625; 301223959; 235023799; 809616831; 835059706; 541107604; 899684843; 159481304; 350845391; 183445280; 625343229; 897354688; 607674750; 980072154; 758873997; 720258613; 364512220; 352867464; 557207255; 68690418; 34746833; 208075392; 32104559; 340166799; 987626891; 882490464; 465427317; 561139561; 212020148; 934778728; 688780560; 162230586; 11971330; 204207346; 419325044; 460525608; 793243678; 127202430; 613961849; 606760899; 10541522; 677618950; 322500030; 224060262; 143124351; 762240382; 938467224; 581692656; 609097427; 886957669; 247419971; 229756663; 142209943; 934782713; 471522904; 859496502; 614574162; 843776901; 205266383; 398047214; 57288355; 532825942; 200137623; 470495078; 144524624; 170326815; 376015095; 533863867; 759673549; 998699328; 741941265; 516667024; 169375742; 961912723; 361564545; 810905419; 262778980; 818617122; 866746048; 350055198; 79455569; 205261501; 30507996; 600873300; 848653527; 769764347; 939986158; 977138688; 444563569; 661968506; 655885411; 98834877; 74018776; 68329601; 589462281; 100905093; 484075444; 932004257; 817855771; 443758370; 378798110; 286922747; 76274185; 10150141; 52709425; 353614094; 128742904; 158588337; 918401916; 609906979; 700645434; 941063004; 456281942; 352931440; 675107287; 778533508; 980313993; 603828476; 301556626; 52393242; 663081592; 572038496; 283174646; 202529124; 610274558; 666975754; 437269726; 932548569; 457470285; 768680411; 429334727; 543159409; 945879960; 694322962; 267777562; 337683334; 211323421; 524454134; 561237792; 548634924; 636213244; 336610837; 863838724; 505352823; 737092209; 308173744; 26816973; 892715213; 532592258; 770782103; 18622928; 806730039; 999589530; 696950731; 561519435; 749233635; 697751756; 793045245; 10530105; 213733422; 462718188; 203533897; 168461356; 56592899; 616317937; 571128460; 308712040; 364767615; 212558881; 147632306; 663275009; 10242970; 541348990; 116874199; 90471944; 627029576; 898907920; 531683895; 320836897; 847778265; 706685937; 358451669; 949264036; 106725023; 259243854; 440584444; 931306379; 409688476; 444747466; 169693624; 159824607; 151902134; 788435556; 621969997; 20034060; 359296648; 131477712; 23510418; 71349329; 423224598; 617575737; 769855159; 570396128; 638022111; 856095407; 338747191; 714293692; 783942519; 791649905; 896330191; 82598064; 323332464; 248076316; 537864339; 785484393; 185044856; 694587856; 220663768; 156993559; 803809791; 163713227; 78241483; 63459609; 852219716; 372348943; 153910385; 76181153; 18611722; 143752075; 797446352; 442717264; 429358222; 728905465; 655732300; 548559980; 890089888; 712937001; 547964127; 971802371; 589593282; 135410616; 414798473; 976976197; 246922560; 323642778; 112485706; 763674751; 214845162; 675731454; 661514323; 182964562; 859229256; 450660940; 243014003; 128099180; 420019047; 856121028; 404993399; 597692910; 762714258; 395485188; 376083143; 476028465; 979701564; 242754010; 41257038; 161340683; 256142972; 787489415; 367095526; 688020922; 337285489; 924587111; 502487129; 705919011; 434231190; 558754565; 62291718; 189199207; 340204150; 246259252; 531298199; 758049085; 231467839; 957339598; 748888965; 281708; 160379157; 456038638; 747327265; 427242777; 667172234; 715804440; 590029615; 188759074; 470590126; 461241144; 715405580; 692451459; 108256736; 86231335; 645124093; 770589730; 193075035; 693120435; 513004794; 868633932; 523097784; 162059453; 645357818; 818568614; 770066142; 140053890; 74348168; 866794075; 985620547; 529420181; 551581940; 258448379; 925264682; 37512218; 836344874; 492169271; 711412412; 341338229; 57369969; 562117697; 252689440; 555765588; 941919391; 545248167; 750896944; 497525939; 979434766; 34349308; 702125976; 431644789; 7534854; 279318784; 979533144; 242467133; 481612524; 766440538; 391476320; 225025370; 315918345; 780686365; 871771434; 666013411; 774543693; 191355517; 142234436; 951831670; 151530222; 352637166; 250844024; 967281828; 937359112; 334547754; 572096656; 839414090; 383703465; 590005873; 374754170; 330641551; 857122207; 294256817; 916719887; 382879295; 72598427; 32699200; 660056894; 728326288; 477209003; 873286887; 566960855; 243491282; 8787124; 460818212; 27345843; 983620271; 934028160; 104775365; 646849451; 769927682; 745545742; 856821237; 866330868; 446247615; 725538542; 405603064; 31232245; 150584408; 125357611; 465929638; 679513592; 604678829; 177306990; 564964163; 742374941; 69532808; 760634506; 101180948; 731010851; 280811032; 508861716; 398751391; 734919634; 218992181; 74238762; 786789689; 986910309; 41684574; 388791481; 928682614; 943817798; 395708186; 744931239; 451238942; 704283278; 328983643; 417098197; 300767095; 318176186; 993185216; 798822361; 887890169; 160392928; 989790632; 960382009; 311767421; 643533816; 764395459; 471139047; 374925480; 69200572; 497588713; 355469423; 111454915; 976381007; 835642213; 573759419; 903537791; 295911053; 216639958; 170374734; 755872914; 499500598; 109732792; 140779883; 658225161; 557510067; 634950527; 337146289; 21663321; 61548589; 17324940; 498680761; 400656237; 934586170; 632432153; 101496090; 397722235; 222029780; 471138321; 235809453; 7750640; 288424380; 229913019; 971234797; 437201747; 657168457; 557876862; 574282910; 349258255; 923755638; 439911445; 73089678; 139894962; 956953073; 692262289; 671080128; 351030678; 172789877; 958217376; 606565252; 387497466; 516609532; 332382153; 472653680; 856904874; 118370612; 527373378; 54449274; 82145388; 522236790; 413478456; 822588007; 428622596; 579107894; 235944912; 107316345; 292786660; 44302588; 895345529; 599649088; 673335957; 782494371; 526554597; 533156686; 627478078; 474769492; 772508830; 280580678; 68355712; 683801907; 180479012; 703392650; 37778140; 223314981; 664241539; 154865145; 953664582; 674212168; 910311027; 17782610; 518044648; 657771781; 594388300; 56746861; 725818611; 861851453; 674155634; 618613956; 583570024; 943720556; 980778381; 666474265; 552481453; 640310826; 713260841; 941292631; 901798245; 200287261; 809947964; 268406650; 539594846; 949547469; 528741271; 153345135; 279413164; 609880628; 986037675; 379125257; 503342114; 57687379; 626056123; 276024130; 978431993; 198888593; 933116522; 403494470; 6928119; 885536173; 821580891; 974375702; 261090512; 755816186; 618690194; 67219275; 393322988; 881518238; 752071913; 283520128; 652155102; 674434609; 484551103; 624832366; 752868357; 512097841; 379244051; 445132024; 974460660; 363028579; 6874969; 250953489; 705997960; 48991132; 476638206; 843845249; 465596430; 194105032; 656575431; 654881973; 900563095; 80279676; 381439151; 609359732; 891709823; 715516057; 228216541; 847694029; 821315035; 360541477; 363845282; 987023658; 505837585; 209209190; 236444598; 953035814; 315490609; 980838820; 228307374; 644561617; 196270943; 9254941; 532817167; 273924567; 884155247; 601202434; 308150367; 834668736; 876534523; 838149513; 606322725; 227778444; 167683437; 191517783; 145435289; 274083749; 535703768; 812367731; 431891234; 698781132; 661511992; 351932088; 974009259; 633830826; 165957337; 418280078; 997414259; 368480267; 637227862; 233543771; 491635629; 693015505; 929079886; 448451892; 793729464; 184535925; 40599160; 553583001; 239196061; 324110871; 675155179; 220440163; 128438268; 277863447; 944990152; 178693379; 978682455; 166763445; 534196012; 151311001; 306723006; 128460992; 39237382; 175347244; 376413562; 419148593; 821441359; 316366575; 656785837; 186487943; 931889246; 682323257; 635603200; 262023278; 980330556; 950479837; 195045250; 112688703; 12679190; 34059048; 893639030; 614920146; 172557405; 246644828; 81480109; 282908560; 129594521; 224203557; 332528784; 170238950; 968822602; 639962940; 305505806; 778672338; 159776724; 433032717; 402623453; 688048747; 519673379; 791614817; 833738802; 723908027; 634816206; 91868556; 494758300; 861615915; 588071767; 712717132; 441384025; 664269990; 584962110; 420589044; 429778924; 856583103; 857212530; 104379549; 323036744; 993895849; 341234903; 295557155; 160542746; 766670956; 775739221; 519900558; 25881699; 108879159; 41485711; 305758089; 232072624; 491383580; 659564379; 789176775; 864796159; 318293600; 733285122; 885263820; 874955210; 413929246; 705871216; 249463673; 564356735; 986557035; 341969050; 613810143; 291446674; 566502473; 598395702; 898031857; 505579680; 361012711; 647508560; 247417847; 401831307; 148704542; 385352661; 147977102; 777942575; 411629724; 905271507; 397094785; 969600445; 45755440; 254915025; 410220775; 93483053; 684824053; 894518190; 621707319; 268542349; 551227172; 531265861; 894619580; 423728630; 54193442; 893011623; 325406729; 516927609; 573046494; 867793214; 75405460; 693236639; 959445383; 154383084; 95273405; 401999555; 725242222; 141017084; 286914405; 438528218; 70293461; 195065644; 333990115; 407783656; 783446028; 2718859; 615529927; 961938888; 608764422; 431641245; 772297762; 644113138; 32940002; 236793275; 931468514; 574942940; 493347008; 313995593; 841597018; 472273311; 636264222; 94800549; 356146909; 806666173; 465366862; 136687333; 509478966; 393778975; 57087691; 217478205; 856652678; 928623875; 522910316; 675064571; 905980428; 955432379; 963700290; 192010413; 138414571; 751295162; 627267739; 562919220; 505173893; 694985004; 452463796; 595893908; 316611872; 238485372; 88548817; 448382113; 765603069; 505940461; 689720889; 45735490; 653727364; 478330070; 169123248; 935841814; 924247522; 434163582; 27562616; 138793333; 542552482; 970788689; 370873414; 133978434; 770491668; 650286552; 501963448; 913588062; 866512185; 120255658; 936933347; 575710004; 742762026; 353305672; 810887194; 628365981; 648458010; 976809617; 494013201; 458032947; 149462249; 316609080; 192545031; 81156001; 462179430; 77629050; 990200624; 482445380; 633414481; 30919382; 198373081; 826670428; 78780518; 500799070; 244731095; 731851006; 714799389; 478090528; 683395212; 220561791; 57677640; 581684318; 24592425; 807224603; 253923794; 6648737; 641815160; 946515629; 601189007; 295429589; 724166194; 103904872; 895479827; 459849278; 181590841; 597362604; 213238411; 426348150; 497527986; 900475387; 254685085; 371576512; 526145244; 983503716; 662183889; 761137791; 472761606; 150872941; 588067951; 627816084; 34039018; 230224992; 802999123; 149621444; 560788397; 742565733; 303163718; 744034431; 464943601; 254249756; 553700034; 722290998; 356024927; 825862682; 394803470; 124235317; 126375142; 458281212; 167836352; 682499975; 680669224; 651982925; 15846862; 38973407; 379090352; 164858392; 343924897; 947097498; 690986656; 429871319; 207274775; 638018159; 275472469; 665721478; 81313317; 964954965; 5652119; 57835003; 455987719; 405609314; 10652910; 129502143; 656292835; 292339942; 807802627; 661911371; 182866301; 9614639; 35291383; 34143555; 236889110; 112488112; 390946784; 919510703; 526791905; 596423793; 777427963; 525126199; 685293182; 621550648; 588240691; 73290389; 397584867; 30306696; 84789863; 399633369; 569638017; 961457575; 134153532; 794522547; 430686756; 961658782; 8314073; 146805770; 473978514; 130841861; 595136075; 517019641; 174534059; 774452736; 460972639; 330680974; 471300943; 242130090; 501049571; 383907314; 18244414; 925917097; 3499151; 184166853; 991353060; 477466196; 61732065; 654069549; 861391821; 169048962; 158945643; 905870925; 434183747; 566267316; 310778060; 768418109; 260314359; 873192777; 370778554; 883214671; 842218534; 698444901; 794451012; 252503505; 354587135; 49969439; 118413335; 491312063; 285801589; 151179962; 880912908; 467120575; 380898564; 35781682; 46226363; 107864371; 674688589; 218777394; 332618017; 417727475; 62360458; 805487739; 903000237; 406822638; 8444485; 317444833; 570144854; 201277147; 252818364; 265594487; 928712547; 753765319; 44913413; 398548478; 449330892; 994246; 218534696; 473764093; 391775216; 737505453; 932344134; 577715135; 683129262; 551421305; 274722668; 832058276; 546335462; 340031771; 504443909; 45603197; 66319610; 952448177; 278348156; 478690854; 64301139; 100265770; 619103327; 138592617; 699861147; 601941794; 530133207; 652322072; 381043150; 142886516; 772277414; 69469121; 867496664; 973485975; 841921732; 774037486; 813260857; 574275896; 950229980; 2429869; 187137962; 917087000; 14413231; 675373787; 419441974; 607437476; 203539393; 930967964; 870820072; 403849167; 930483985; 590949548; 240192998; 686820273; 312838503; 818449881; 232260230; 358981851; 918851287; 15818095; 176690302; 10054499; 608789773; 705916783; 929215594; 63324756; 660465474; 357764737; 79972289; 945229909; 741139638; 506401654; 581578948; 323479599; 434310178; 708657990; 433584891; 996512177; 547245284; 543965365; 509077262; 337770930; 441787141; 949307032; 100007861; 417326601; 287323006; 308480604; 855960009; 889511173; 920221349; 959703408; 453225351; 69551540; 871859359; 184595549; 594760432; 877916111; 936240980; 749509577; 602518914; 99513824; 211537733; 503743879; 914846533; 55307954; 550399533; 272385891; 480041265; 75919434; 220065607; 889405185; 873760112; 961939743; 627407044; 7637873; 990829265; 189548478; 857273633; 412403858; 319408915; 115397293; 470525240; 438044769; 388161925; 81221404; 343272193; 168773078; 414451980; 927169641; 840432092; 60200394; 287938449; 795715272; 103322605; 342531602; 429124392; 804413389; 850634660; 11194999; 520448403; 943934586; 732085757; 936418042; 320333736; 689445464; 346809456; 756848603; 61557733; 136623175; 748145390; 546592825; 41839616; 811967140; 625398456; 265614930; 828807344; 780796487; 58990671; 216059173; 805632215; 36971330; 865153510; 466344612; 625371751; 155703511; 403433621; 867609387; 133270048; 957249520; 557258079; 722048102; 103390112; 285914716; 688695462; 14889747; 21825532; 848465385; 847284451; 689945476; 609440999; 505304158; 385561927; 472701890; 731590588; 524632271; 957033094; 735397318; 431386154; 38741870; 607232941; 732662979; 405839283; 870043538; 593022820; 531163555; 390074488; 590443214; 427400915; 468155080; 98198300; 459539122; 728999819; 741603743; 849546455; 242371107; 473193379; 274476848; 832302239; 280073036; 62152143; 839448346; 141824282; 623238828; 742242125; 185531734; 483202674; 878019727; 16752256; 963041291; 492202018; 384359103; 577813656; 293771873; 377164994; 275864029; 591155379; 532202419; 60521339; 982902983; 271593107; 353499620; 488996538; 536796034; 597486273; 938422163; 979072282; 696256158; 774146843; 508747583; 349838551; 539626011; 909820265; 540231806; 268467466; 426775704; 360011330; 217643095; 785266779; 656046786; 146912279; 642111574; 126309692; 63464792; 804443804; 722000858; 284256700; 214862883; 514106659; 689616573; 953826865; 298043131; 374698265; 547862100; 438351110; 501557323; 6129727; 126773850; 14072773; 655938717; 710586504; 133854259; 86941392; 56745710; 241845514; 184145766; 782259519; 347597373; 636764334; 16609372; 743841760; 548120262; 49431529; 898793315; 799298252; 479355751; 825194621; 310899884; 331611391; 566646319; 807883733; 517129940; 515938140; 733831381; 256386165; 736995747; 686120613; 966306429; 582998755; 55934710; 521003609; 267320874; 967655392; 525803263; 640505915; 982330372; 296839831; 876544264; 744601599; 710686106; 805012920; 555330192; 990241991; 876252153; 552172492; 530064934; 140030733; 965787233; 246518895; 710998686; 115434236; 613596595; 314812599; 109094555; 172652523; 736723794; 310728266; 703590408; 207549285; 310888248; 411690089; 517121388; 251549134; 689441821; 439706738; 460609898; 179746000; 939234441; 218749407; 343138620; 282104146; 603663822; 576233223; 42800157; 896132805; 754703490; 458469521; 490350175; 286781349; 873432803; 675516680; 45617457; 773821869; 860722992; 384068175; 116877532; 875767891; 330728248; 521761184; 747436269; 343445706; 331982156; 693539793; 423865207; 78546411; 727930859; 177170751; 59590166; 404000933; 942230814; 233526134; 240486942; 791300523; 52884721; 503581288; 987180327; 860614582; 101121765; 558620090; 564027921; 342865253; 201929667; 481213172; 822253060; 948216668; 414079308; 42449612; 49783742; 650272608; 637716619; 288975219; 400084104; 854553232; 758102546; 779793185; 560329893; 460365468; 510395043; 27537479; 934905343; 739246393; 54953035; 745765655; 225243724; 197815441; 585376039; 553208326; 542473993; 798701891; 200769929; 773024395; 394986224; 856262911; 417246375; 739176610; 930577819; 484504752; 306620225; 15621692; 541382508; 369083814; 692397; 501500906; 380744893; 87947670; 191344390; 4077235; 743865683; 664489456; 298719208; 938004182; 231367576; 647202152; 883331645; 529744469; 856625485; 125122127; 485921030; 423619858; 711984330; 552898347; 225710203; 998979190; 398243972; 681149413; 462697954; 831502859; 915299904; 346880581; 122978255; 626238894; 773600477; 939786137; 591806048; 915165803; 498763939; 114814837; 101947980; 441782771; 977571301; 488527168; 92606068; 81217753; 506771393; 149250969; 757114504; 921918855; 539167192; 688695788; 900210907; 942083600; 380940844; 668345257; 325013060; 105849145; 372188296; 733026061; 913919282; 192799489; 315631900; 185339978; 380221455; 265466568; 451759051; 364643351; 203591307; 394905865; 496498951; 387985854; 257370413; 757270258; 776916265; 464924170; 672253182; 685607618; 861189577; 454751282; 854187117; 436624941; 996597851; 780448920; 510926924; 921431998; 761878626; 736577108; 777911635; 583440432; 35943737; 652549544; 675561674; 626065631; 215709573; 109510431; 930799406; 215849034; 201379357; 513049615; 386030881; 589919353; 364274609; 324050709; 319168128; 874837522; 797863137; 359613078; 477473574; 4008190; 235856689; 38080743; 419105419; 717840501; 412476512; 218906034; 946200794; 126664968; 279532420; 10935145; 285625031; 247213061; 799426257; 440773759; 504444523; 393982016; 944057572; 901772685; 520558016; 457434162; 850273402; 693089251; 623308373; 691002275; 716673987; 763840263; 775950234; 75699646; 109693652; 413677083; 79329986; 990633290; 623156852; 184835268; 328127669; 345549715; 996113406; 320617475; 83944293; 866874687; 690432371; 336212778; 108712148; 882212362; 544256218; 25944592; 604741511; 176997982; 249781612; 619260866; 911634710; 429403664; 829192628; 207393763; 828713249; 264300551; 677347448; 36105324; 819603495; 167808657; 222084465; 887409209; 301666820; 472668016; 299918680; 678228690; 553278684; 347505782; 614453871; 609444444; 504086630; 146767029; 350623220; 842310530; 295471744; 61966062; 995828364; 404471237; 171706462; 871832720; 749340886; 810447015; 165391194; 31484329; 562211656; 871400322; 629543470; 15618314; 932800824; 20998827; 913338310; 538031792; 494221503; 538754386; 117892948; 108804231; 260503398; 796904156; 236996635; 259327804; 865257547; 430505754; 743314894; 49580071; 55203105; 748854594; 14530801; 555210778; 481999594; 627159452; 716652777; 510171631; 754202806; 67823423; 798780979; 741963456; 182136443; 451000972; 849575084; 636185519; 918749173; 518909674; 744236732; 719808085; 325828790; 997946625; 812331768; 574159737; 816731726; 119665845; 92143569; 411319501; 815001129; 707427224; 557669191; 719254203; 589101653; 58670420; 891480517; 429272299; 98290621; 70996104; 544756970; 114046580; 204682070; 368495530; 865154696; 724421540; 383615286; 156479286; 763327095; 934443394; 315972798; 259680518; 607890589; 905498598; 678432401; 222325312; 491137753; 347553486; 261960740; 83440771; 826038604; 625939262; 843495031; 456551997; 665399128; 348048258; 637146193; 375648054; 992241725; 624690957; 192455667; 226991159; 112336004; 102415435; 94766586; 357316942; 958508289; 109431600; 378686952; 223110976; 365387093; 61790558; 4305345; 310479177; 620222449; 273974713; 492539519; 421552689; 634064587; 428545232; 36759194; 688008460; 650818686; 605205452; 907320328; 40731160; 835361205; 971397789; 803554846; 968668888; 268427766; 832442624; 262546396; 60385062; 874408589; 253428235; 824310062; 637937891; 751278161; 537610047; 773123986; 777663096; 235932097; 191042306; 60387045; 959395889; 335934931; 545651919; 631973753; 64328894; 151924662; 902841180; 518629371; 106372226; 607400728; 417862232; 484763043; 48382581; 7238106; 873986446; 496492409; 838480870; 327608294; 598002963; 732081293; 848459801; 52710376; 191494163; 10034804; 944895442; 694093035; 520439146; 341400096; 444016344; 40333641; 864475497; 478982999; 877753800; 211130860; 386075565; 532641885; 746410110; 26511846; 439800408; 676618816; 186060085; 738260876; 673950048; 631110822; 143242456; 853210207; 333146392; 177698261; 225875153; 872990838; 108186180; 603743634; 580998998; 676431138; 975801615; 559819598; 465184647; 425797421; 469370768; 571353559; 436037778; 458740016; 472613564; 578039894; 278203449; 92384578; 939028913; 2610393; 4685679; 553893037; 110810620; 442359464; 507257727; 433197926; 870915119; 354035288; 240640403; 964431858; 68764901; 878372096; 564141506; 839282659; 781044717; 651138230; 174714550; 657829470; 707127707; 327118806; 290654483; 987421374; 469931230; 210978542; 970343452; 618517645; 625746015; 506944666; 733026174; 410555968; 330093717; 125541689; 170430635; 451184975; 315657565; 347749123; 291113714; 219714648; 701350571; 694094538; 245040473; 311765590; 193670467; 41349642; 544700076; 864321874; 406380460; 29093898; 768000128; 867175163; 164161404; 82579138; 129798057; 173496475; 499968; 305823159; 298906017; 548712060; 808205467; 540187711; 243405053; 484846261; 780457000; 316392083; 144063002; 513202899; 820339603; 886763602; 780455108; 31570907; 309037081; 297912821; 205200811; 483836632; 141187810; 563180374; 226082717; 616268183; 266623128; 71716190; 56218417; 462688011; 278562666; 254508093; 12907112; 484587893; 343510996; 77818150; 781459062; 247887727; 963792585; 570210730; 330814795; 137635205; 335435199; 609717095; 516267557; 954613012; 18640835; 899463031; 5381238; 203119750; 775592130; 169488739; 212373519; 879232312; 474425822; 648987251; 144136652; 715548053; 627105628; 359154330; 923911573; 457234803; 660105343; 380760875; 64943931; 680729019; 373005026; 756841016; 604040149; 513434184; 399048364; 412131708; 526512018; 737764716; 437549843; 124651879; 146339268; 629990338; 88174945; 636285431; 612383982; 636818299; 61442849; 135261181; 824410190; 670066409; 547052861; 225501824; 465557955; 913516493; 706347186; 451747018; 629495110; 293143200; 362072734; 514092985; 331306986; 879007223; 398825355; 31280976; 364029104; 466972992; 225573984; 683684129; 295127707; 692487117; 354498439; 300385785; 183467775; 695375073; 175391772; 462259009; 370561361; 432845065; 428155631; 377203975; 29199072; 302569894; 153495087; 737490044; 212686665; 913118944; 734649581; 749029946; 522379753; 885725981; 292515587; 811209122; 709282792; 452520489; 537071427; 530717233; 663290400; 452339825; 739878071; 293684009; 413203968; 980234894; 840218977; 847896624; 759571188; 592739820; 704988836; 471315132; 724100691; 139785401; 780068022; 797409837; 274482270; 197083337; 736719892; 288913058; 702436445; 897611858; 78530999; 212968490; 955044941; 761912531; 175000405; 150933446; 194757998; 617127022; 445598301; 975755247; 314214018; 664159586; 788275013; 838097427; 786750770; 570554307; 28431834; 291248139; 967021; 838120797; 376691541; 917162576; 369592343; 139847660; 748220124; 740354800; 721264546; 560067999; 672147147; 515952403; 387159939; 386230554; 998883730; 402477236; 609388772; 229545479; 638399609; 961063483; 941202497; 425049714; 65636938; 549139890; 536488189; 47581705; 748415721; 787541121; 748973777; 657351309; 612151374; 895070220; 952641990; 345503879; 870560007; 517880366; 551503116; 637567067; 662041833; 551875100; 744607830; 518523952; 686118059; 292517752; 461033110; 243801198; 184177760; 917381610; 508594634; 622815777; 200517875; 307967170; 293682463; 442524763; 658391749; 358778425; 84651907; 792276831; 397953175; 998601867; 357636412; 979967701; 506546606; 864539464; 214334619; 233357200; 234772717; 717277520; 193598121; 329751059; 96036989; 904047526; 261761569; 60421522; 813719462; 684679691; 742738791; 854976801; 880666899; 131626387; 752310513; 722703350; 211832185; 15785901; 345922588; 444606484; 657688263; 85574049; 766389887; 783986778; 85179165; 620858762; 324410091; 761454578; 284860430; 995203058; 139583991; 952564753; 936725044; 377390086; 227931860; 96502543; 620979746; 770202432; 591384898; 89307983; 623223432; 542011215; 103097426; 157565491; 737500924; 178629117; 926298481; 319923850; 229653554; 585947167; 280693975; 224360660; 984173369; 50937479; 504251750; 315233352; 577829310; 805372831; 741266914; 661554790; 239112590; 54537709; 850444762; 384061259; 223182865; 508291491; 789188968; 699965037; 283772547; 420626274; 140946215; 525394009; 535204655; 525736822; 568361031; 814574304; 648909831; 269389260; 321966068; 9472952; 641215355; 545712360; 39457190; 115738225; 498459872; 562607671; 512809458; 48698146; 951465845; 365831359; 982160987; 187566830; 58410623; 574149634; 140231968; 838453375; 882789140; 846391837; 314156340; 379893743; 471382384; 210024446; 649553122; 330794535; 956122932; 636572538; 38569331; 358732948; 992451061; 707534191; 492974669; 625981163; 678419963; 736737933; 866586096; 526565619; 423774982; 117259611; 997575977; 736278719; 949451336; 746051048; 829994523; 18506121; 612394437; 471002382; 107848717; 954553124; 507536560; 453546252; 333518583; 32661411; 663225706; 749321607; 179334377; 179160560; 631013870; 559759066; 684212958; 642835206; 461709819; 592255908; 285752133; 202932748; 905828149; 631507431; 4158795; 335426559; 42635911; 553891742; 497514549; 785963639; 244675652; 818581092; 395258477; 307720089; 326037131; 42338700; 896183243; 616788491; 895821559; 764525210; 995869956; 993446121; 565168035; 963369738; 425959158; 970864975; 671127793; 947098313; 807714391; 974854388; 396940136; 702534544; 32748840; 124784343; 823120796; 864352422; 637512592; 551938814; 13128439; 578394109; 839010744; 983871087; 773664886; 1550709; 841928390; 910335699; 466124260; 150406453; 955717001; 921487234; 813846183; 743577532; 141941943; 603805065; 80486056; 215132518; 812016259; 672931678; 70813492; 841941315; 392719040; 538522713; 3881057; 549140222; 139986275; 523921705; 581574162; 788073208; 576413306; 229030938; 588761220; 197713161; 767910132; 837735216; 893861676; 549487501; 702763806; 358248891; 609143780; 975300789; 210178585; 87162199; 202208269; 675093787; 514131697; 402875834; 710026571; 490914429; 831339899; 340355125; 730008929; 640251617; 356031243; 699848215; 485472865; 573381499; 98110951; 379412077; 115638441; 769127166; 765922120; 910908633; 101061257; 323515174; 389711123; 49242413; 575768851; 276245998; 942486583; 788078478; 46340893; 81571564; 501503208; 915315025; 937775741; 938899149; 79054886; 717539293; 734547381; 217437422; 977579716; 451286770; 127464693; 867708006; 372973865; 634391465; 715352992; 658666838; 179521342; 640294833; 750906312; 310899783; 540427794; 102698722; 850790133; 167745272; 825672054; 595596789; 372236915; 926750521; 848924191; 126748025; 952458664; 137585089; 401306460; 443587943; 447358777; 436104745; 577422922; 722806353; 378684339; 351851556; 383303700; 582352223; 641930375; 61630033; 219365875; 638604540; 236212292; 384590886; 955551269; 288082880; 188808217; 352384269; 812225720; 616859620; 458364680; 396235850; 701129792; 549239513; 846226569; 231484844; 557679211; 273452421; 837246911; 379188180; 329013427; 96829316; 230718796; 25948862; 9134047; 152952310; 243048751; 623655566; 321353120; 999870014; 87047716; 164508200; 272988433; 588328863; 492718644; 548770352; 326762970; 237264758; 236519748; 67949725; 457387111; 275728104; 637372539; 197202325; 429185166; 562794583; 980008803; 155016222; 293815421; 809852146; 3845547; 367428216; 634870224; 927901867; 466228224; 242480189; 720641003; 855724400; 546821104; 659675497; 646454278; 887594794; 601444395; 817367868; 480323440; 758422877; 333764985; 205270944; 441251510; 299477142; 253054788; 169562772; 612732292; 621638462; 383866295; 955188137; 768485969; 638187000; 775324004; 104185875; 671417977; 742683216; 536484586; 69394759; 624450231; 244698819; 37680127; 818110967; 442698165; 225597303; 61194339; 945102988; 204054666; 526280179; 336726725; 640828786; 351099568; 689899781; 503761316; 251976856; 103166071; 140954666; 107688329; 984039089; 851338740; 589034534; 628156587; 833586081; 838543932; 197365677; 453883250; 930196208; 318480696; 266359321; 110794534; 430246273; 906015050; 396988163; 541799060; 153537979; 609824192; 664071885; 816178952; 9279150; 350320948; 374626915; 565893743; 434904912; 334673425; 110734824; 468266583; 960854404; 681228509; 437417365; 419772637; 597398472; 69517602; 878936972; 892583931; 239171785; 197052267; 720550197; 677983155; 54711141; 138571903; 725223167; 812085287; 168602114; 154767525; 670868973; 74945734; 215085729; 174253080; 376143870; 29592049; 382740636; 928173946; 913427823; 378824356; 434736962; 14910100; 609162599; 954949855; 547613079; 672436860; 136735194; 592012357; 319434436; 936487938; 74758540; 655716703; 431079800; 25074647; 310807184; 600616085; 223497135; 384908221; 401620180; 250918782; 63763380; 412362426; 958512209; 941903727; 838408387; 32570081; 842444367; 258805329; 20382997; 335369157; 840337056; 788572685; 863125298; 934790333; 999168694; 68844124; 857008303; 857824860; 48797412; 568670590; 99486127; 17413746; 485817491; 890033118; 545530197; 712968237; 932247843; 157688188; 248563181; 347811279; 609386350; 438732276; 282030187; 124587605; 630470127; 453902209; 392714533; 910149686; 6635204; 861565695; 323455929; 69711607; 831789236; 992936820; 428995323; 656350347; 753717044; 28007109; 303447694; 296940302; 116798105; 173527802; 665186050; 258437651; 790910137; 991933796; 817228884; 636462771; 269991927; 746779027; 424110266; 34425389; 699890465; 332913508; 389426304; 620118516; 62315091; 768381800; 288480875; 422618667; 612204754; 566237086; 300690020; 576370635; 877795535; 86791427; 292844023; 848526189; 75375825; 137114126; 351103153; 844826490; 594780965; 21085488; 270008381; 817177773; 34530276; 873225548; 477813160; 834679627; 709130464; 613718879; 233642887; 260442059; 727278502; 245577337; 96967654; 262239625; 564810052; 754128515; 131757319; 703234080; 265491480; 959940221; 403699864; 433811200; 580250451; 289188711; 382783134; 91057065; 127900959; 663625752; 148567402; 919647835; 879442284; 286597822; 85395546; 225405721; 647582027; 169841590; 770892834; 102088978; 846374229; 491817505; 190250902; 175660702; 488798846; 422931688; 583436289; 554029681; 97356660; 390187478; 98179225; 142863020; 13692329; 677507862; 6435541; 42689595; 850413912; 800296380; 677180272; 807323114; 847103310; 448042816; 874206164; 123065255; 894559862; 73061306; 537075223; 572998584; 321882901; 454033297; 2052489; 331365434; 975478485; 63758720; 31031667; 293613910; 248275063; 434085693; 628505793; 135165651; 969801883; 195571695; 939121701; 211445163; 423218450; 15264023; 915528896; 796150655; 708608752; 169837642; 507526394; 513608222; 857176044; 51228990; 867923624; 815991917; 714572536; 740384167; 675390141; 37571474; 257702414; 626603897; 624242324; 143621020; 955879228; 320775505; 628196240; 985728023; 826954929; 834165336; 275251261; 367361683; 827494741; 497728372; 240903387; 118933400; 811283606; 339811870; 506013119; 525822938; 101199817; 829842907; 471531998; 689654450; 135505086; 459203836; 507527360; 245262234; 619443734; 245384529; 930173217; 515392401; 262027844; 171162755; 75533323; 479766044; 212603065; 255166034; 746513188; 69212527; 242677643; 477679830; 342929616; 18062275; 35492604; 778388300; 830730628; 774449364; 713134588; 897820265; 8948985; 861566664; 253177568; 938215750; 703042633; 442667937; 274179389; 538713735; 272751086; 26585804; 398185084; 766297598; 178308568; 948688720; 333402137; 167068773; 98069347; 902762806; 475475181; 813660334; 274242164; 910662500; 56274373; 517592720; 27143157; 682378421; 804577780; 822951821; 325320065; 44214267; 511680524; 273514209; 860547191; 392672688; 815549243; 281346877; 796917207; 44515563; 667798424; 141517582; 217114233; 624653411; 393783039; 551427481; 868499465; 827747595; 919295557; 248485522; 402935120; 386423196; 732099781; 494723488; 542395053; 382346261; 957036004; 93921264; 803780782; 407073092; 570603648; 614041971; 882819664; 679173544; 705281557; 122974294; 361707443; 497198841; 746820702; 430207482; 188573407; 578015223; 577887473; 754969378; 316478045; 624082389; 745171124; 820997863; 827183381; 791986936; 266139088; 788424202; 261569952; 644506021; 78681443; 632641948; 663539107; 49097432; 677446282; 684956117; 710109073; 209971784; 365997678; 613038703; 196809611; 67635391; 611368268; 173188865; 549119267; 419243951; 453298955; 566088049; 457950573; 785784890; 23929829; 621868223; 313331624; 484333931; 488794875; 557523; 279318780; 461519983; 548458715; 215896769; 927642951; 858670753; 746100237; 679494766; 486081103; 243089475; 436007176; 259772918; 20788162; 124103304; 26139658; 666391366; 407158639; 990766968; 206237329; 855734867; 449589140; 723971508; 56478377; 38681841; 779859288; 151377452; 864668216; 395657597; 838996110; 2498570; 353446622; 395967181; 192785250; 798048498; 905033611; 802855058; 61229527; 603262794; 639393186; 957748880; 620483904; 524755218; 137745062; 445962324; 146490423; 170449865; 433949431; 352463001; 645888222; 265433513; 772837145; 153324928; 778075313; 645516531; 828969776; 985932887; 438613359; 405691445; 23591592; 758031943; 523492251; 16843642; 119331958; 940116572; 271014826; 781444956; 211221182; 392615259; 990898408; 855569320; 781972992; 179522095; 342927407; 993019132; 282170151; 756161708; 133221633; 721905697; 531956518; 239677572; 840470937; 579668806; 989870252; 302544437; 510079230; 883693527; 230771716; 353325845; 96899219; 577736068; 459871823; 39938136; 850180423; 334443444; 781890400; 810456120; 58485325; 403949393; 335084656; 553960667; 756067717; 801062389; 6325920; 921402263; 371242765; 609483512; 57425236; 878245101; 133081987; 588492371; 220043624; 185381741; 572540816; 353471780; 107612092; 15899773; 591210541; 993989607; 625592778; 728839444; 24317184; 417050473; 975003690; 591518999; 713349484; 734289208; 760701102; 420615743; 326264486; 308361262; 520175117; 473748443; 239851444; 267520828; 166370643; 278885937; 99260731; 286348557; 445135301; 367695840; 35572444; 464551993; 641359784; 844431371; 909587725; 162227517; 819712977; 221461406; 848111182; 252333717; 140384756; 725683241; 521126167; 798430780; 507065928; 819123015; 280467795; 893435654; 288136895; 254701349; 457136386; 535973874; 469162005; 647317607; 120318; 475638011; 365296730; 187864589; 709770139; 593739849; 917354549; 305425277; 348475187; 261870110; 534741536; 167050534; 359625826; 521400141; 896785440; 727620794; 613860888; 930168958; 227981000; 579631744; 408752319; 269864989; 107499628; 565917349; 332842906; 872942650; 57582624; 384034541; 639924105; 823513916; 531325887; 189762584; 202489661; 41485507; 46716642; 18329321; 733253589; 179470869; 253563091; 818413245; 136755010; 646398211; 157935129; 253602525; 407851607; 179661587; 415575779; 786134497; 475110334; 129024868; 896745876; 384589045; 574883891; 306719403; 510353001; 782034272; 957895795; 30032533; 697217275; 697608162; 892483064; 322865562; 578747016; 804871161; 824567306; 130040221; 575974207; 653877023; 198288975; 434614393; 542060626; 417603512; 481310274; 108730820; 817706236; 918654519; 199492053; 36604479; 611359128; 973541436; 261834821; 706407406; 463024274; 285151783; 52671386; 434601391; 599431278; 642370981; 905462225; 501030873; 126784142; 811328805; 539429804; 395919086; 320692905; 978187901; 638509211; 549760786; 992809942; 26707693; 553585272; 698653735; 748574616; 787147519; 250715538; 446145511; 269068647; 307173253; 70320932; 515420086; 191857660; 114631613; 995040535; 917042061; 239320496; 312692840; 609484904; 586704151; 120449880; 214965447; 597551280; 750463378; 68988211; 666320692; 346152493; 46188014; 575532596; 81321208; 358027539; 702080166; 701582943; 479173461; 690191292; 478734064; 273039787; 350609092; 695827354; 81109302; 485531760; 923323743; 457215663; 428144995; 45018790; 103511005; 950295661; 662944396; 951292320; 117519939; 968461625; 313200839; 201997895; 161407402; 853193476; 878797758; 910890969; 354088176; 391996341; 256083851; 158128203; 867337311; 185525607; 570342523; 844665199; 953385255; 396875361; 183691626; 641479325; 600560125; 70703086; 166972501; 252244542; 223207846; 665076047; 337108704; 765438557; 660501323; 388256581; 537135786; 899131036; 11923692; 160691433; 38510666; 169758912; 882729739; 587174735; 5158211; 122263956; 510587659; 6927142; 187006109; 483159940; 556075364; 958366792; 719694518; 526078695; 769021464; 504206250; 954314397; 522362015; 700066903; 783043311; 897643046; 150945705; 912629039; 786967947; 225824341; 51956382; 431147666; 733544996; 840279494; 879998140; 492543203; 661856170; 32847056; 10012184; 300529345; 119053925; 558999439; 317490747; 934972241; 152011153; 328936516; 188519945; 26983750; 61856822; 589141921; 964265855; 89898403; 751399524; 434114931; 865364970; 555971959; 10846639; 204545457; 337236425; 89585300; 561519869; 430910131; 123634999; 693044791; 182201602; 467539947; 960114853; 228220361; 776575897; 554123960; 651303691; 11304799; 522933523; 916704716; 282729799; 519017006; 993541611; 977437957; 411610585; 813663462; 171430900; 74135779; 349704302; 383854543; 733566761; 760438377; 557659310; 214614119; 35019381; 247368387; 220258959; 67282633; 848877242; 802314144; 926433055; 966350626; 794672922; 117771002; 523565720; 369088164; 957293937; 78581215; 416723054; 653534420; 883615395; 371055678; 576794107; 236647144; 533674282; 496481591; 1858288; 901548087; 207700358; 84996898; 913437482; 75370388; 790703438; 884720994; 287859359; 912828995; 272857508; 546480395; 386807234; 773028264; 312790349; 667401923; 270467970; 405405375; 911181749; 452036813; 73766945; 595728085; 231867476; 477073965; 861845142; 997340667; 562159463; 791555177; 933036962; 919630617; 991890122; 533641508; 111913788; 347137837; 770430685; 966596215; 789517761; 15622591; 878880933; 838429723; 87536533; 107089871; 958156581; 317457945; 470937298; 658549520; 120526017; 398911736; 495648158; 962634974; 683123276; 233174638; 593623029; 59533463; 555292373; 916074943; 715203445; 308551417; 132491457; 606822484; 242377876; 721923700; 279766898; 677013424; 67801523; 392174584; 760692157; 616306868; 830863895; 568984885; 885758057; 646072871; 389488213; 936012736; 825035475; 694273067; 609707201; 549498832; 769202902; 80124465; 619862295; 941125442; 466961056; 752992179; 617524395; 939376758; 416696347; 272063925; 916581207; 467999185; 330877532; 97902217; 456135207; 588016342; 318409197; 955702828; 169452209; 372815601; 953558177; 173229027; 160254603; 756815397; 126003671; 816465337; 211616926; 870729289; 541224173; 802616614; 54709015; 715060157; 954917809; 783693485; 240002319; 415571143; 961123860; 432360387; 308706712; 570147447; 971411368; 218601449; 245822791; 933117531; 538900362; 789771776; 778767732; 881981565; 2171709; 91058936; 349935; 804923425; 943907680; 73735608; 468730637; 321088188; 295225997; 47626116; 36940025; 527621538; 343337000; 710544430; 37101403; 536356459; 898041863; 473031820; 889408928; 152729163; 491844199; 845213191; 274236498; 874356988; 902372994; 936190360; 888703259; 373734435; 563851888; 718212328; 857856993; 564684149; 254268355; 163235630; 149113695; 770328982; 716736240; 766985340; 59903882; 780538290; 74479001; 225646898; 912993383; 218081275; 841303278; 728186031; 862678295; 582317845; 881655659; 177687753; 544693300; 797152398; 872117037; 830570083; 647237096; 580406384; 781605449; 773554334; 944175382; 799099842; 252136386; 885675640; 412256345; 874467817; 199323912; 884450225; 843859051; 594796009; 961664368; 515624147; 334235956; 12361102; 223189653; 846897278; 479520599; 868462039; 42034203; 831006067; 327404487; 534987655; 388396566; 104041967; 355441909; 59894135; 82707415; 967046403; 649875926; 419474534; 435077726; 541363248; 941242725; 893560512; 243281097; 778738059; 856009358; 319002965; 300200209; 193521391; 202981200; 130253348; 473288080; 754261944; 498561823; 84827017; 405566605; 848841686; 464233867; 984137267; 86639515; 453927738; 491775099; 71232775; 879986297; 717437812; 741982847; 8062941; 670427683; 600259310; 708058928; 774072585; 809949064; 55477819; 140225475; 212521753; 262100160; 733846325; 401219402; 483657504; 108712263; 10503386; 182953143; 731632464; 327131055; 499937269; 489486672; 775729580; 714559532; 819764837; 195210883; 676757033; 278092395; 869717525; 402793089; 435118905; 471251760; 703343820; 299747453; 807816277; 428123688; 419448862; 622822223; 160391833; 386639940; 498754764; 378918212; 697589037; 788662017; 109506059; 192531657; 974326274; 536312718; 483465799; 851114781; 896831391; 398436070; 857930105; 965616903; 614521135; 216697747; 571146680; 960896542; 702901998; 540602827; 400361722; 846965474; 888631206; 643751999; 675541445; 485751060; 187694699; 462202152; 865310951; 59781561; 244877341; 99274728; 467335368; 444790894; 5567144; 395532890; 555006646; 948895852; 159908597; 133669404; 75352645; 189885262; 560462158; 539850819; 43170558; 639071736; 646367358; 735268699; 351500746; 667241845; 170085078; 120377703; 592565979; 280065133; 737931129; 151968289; 578735175; 897264863; 387075981; 734597353; 752095936; 940743876; 242230953; 556826752; 342725598; 4721096; 531862486; 849129999; 896392726; 6342478; 418043147; 486035657; 628950689; 850180306; 948994322; 372092321; 625238421; 567363698; 539196290; 526296138; 12706298; 58515732; 337109340; 798470902; 57252624; 724778577; 394680796; 863457044; 366176197; 56221240; 688009425; 766140808; 328079678; 634580081; 593373068; 470828070; 481159050; 188456000; 282129875; 809618718; 859464505; 540454863; 463207390; 976563894; 201715787; 986165136; 385500172; 41380112; 763885449; 884268468; 111264046; 789814842; 667363603; 26322085; 744351232; 82473533; 625533815; 184145441; 756955870; 872372479; 370709281; 241455063; 549664644; 867143693; 960969109; 704506294; 554781426; 49778194; 660749300; 548171400; 875039668; 385779779; 863526881; 658267180; 670232887; 503867155; 825889451; 711768163; 246621855; 676599418; 738841524; 353931903; 34105393; 563003939; 848458237; 299079677; 362381651; 503946704; 347220264; 874876181; 430842083; 574587111; 785038614; 502458002; 718553527; 523664363; 116419814; 904631294; 437231847; 588589362; 830651577; 704416367; 799007579; 32067635; 94219231; 43872758; 732775954; 38817096; 159901299; 444817461; 203789332; 445315631; 431255791; 408220484; 328531714; 839346179; 626508774; 211971343; 497067986; 240376743; 799096399; 421208381; 871106738; 354581200; 932452661; 609008477; 612119059; 100188677; 714532105; 958342624; 132325422; 414544624; 711658614; 725417414; 930413852; 256083514; 74897575; 150446782; 557746025; 528359618; 903726824; 668027820; 160652674; 179226853; 711606165; 193773722; 802605335; 306521583; 792619204; 368353470; 227863351; 854154250; 571549569; 422895019; 742258062; 152094040; 119397132; 317332463; 117582013; 735871658; 494764336; 818751523; 234393230; 406150099; 246569089; 336742939; 43506076; 9848608; 571727029; 577549082; 911096008; 90465415; 686417072; 164839079; 287734714; 824779232; 217469687; 147010559; 116243704; 222287066; 97823835; 38981940; 336614317; 151510992; 384744713; 104335089; 449977337; 513161640; 702387889; 735265894; 704002361; 171917604; 940488507; 968348011; 382830436; 164914051; 47841526; 724144225; 945113984; 840478969; 787684385; 541087663; 2905855; 202057743; 609027729; 999730800; 851678147; 13833280; 477974309; 549363365; 532201526; 854327072; 42111298; 318201422; 766125018; 707557058; 469213603; 797107466; 830378085; 344619898; 20856266; 373012285; 983722550; 562064044; 945137175; 569025303; 145290462; 285168370; 669771565; 214065904; 580794192; 106154151; 508691512; 396537576; 251198906; 839639905; 964155345; 226630458; 593651134; 649821181; 888177631; 493774941; 979513262; 152381291; 782835333; 68216806; 230994378; 934878586; 974279909; 403163364; 127324601; 86418867; 363622604; 383688361; 645331973; 508705659; 533696655; 10005118; 144276874; 135846490; 555696728; 878428897; 980338673; 891800111; 729663674; 244541345; 172035791; 764141256; 415277096; 566102423; 921843805; 598473984; 502763684; 720363114; 565433776; 819966662; 97639557; 760982938; 845841440; 135175727; 88936035; 491090623; 813435009; 766261290; 85176016; 741676546; 718231202; 54211188; 613079118; 197663380; 743496898; 908651404; 949835881; 32909751; 85044823; 863779289; 223737846; 538724405; 800244582; 830670255; 858194762; 646462951; 257004273; 13025605; 378403635; 91688935; 446488929; 630545711; 533862143; 650537370; 306778488; 72406012; 227908630; 136997627; 818789142; 459251902; 607777845; 446396194; 114885597; 419576991; 112482372; 683674368; 528115127; 90541176; 334503802; 696006243; 574751749; 862224702; 657911917; 753165389; 401856875; 430631390; 209680790; 828915735; 19086366; 491859245; 481053743; 936468176; 360301136; 237221204; 95057610; 186504414; 132218554; 808207454; 654657347; 558429341; 858606565; 216541342; 733592862; 762973629; 369481370; 6324306; 193557867; 307481267; 72225424; 115824109; 388535739; 875803527; 877902768; 890236637; 961380950; 56558330; 306036357; 862509839; 446155857; 983730946; 995260499; 773020227; 604508352; 86976353; 14001677; 303729037; 262045149; 602562941; 276385243; 420893252; 708705522; 564929347; 764734359; 978457649; 468899806; 820456781; 347103238; 506657763; 103865918; 842439302; 655053308; 132762840; 716998792; 226754384; 939345853; 638063201; 69962432; 901469971; 28071391; 501138347; 985039491; 137866633; 14051098; 711230156; 750481955; 915644724; 683137553; 740611188; 939755159; 363040105; 215961952; 161658761; 250781284; 61823986; 822252214; 90423811; 197391399; 203172233; 831252831; 477714172; 509616381; 920839323; 682317378; 229437546; 30422330; 340084229; 988062507; 593694750; 113769047; 826290198; 714956037; 662675346; 17757340; 853203887; 195882311; 138838726; 927416232; 87118235; 4341200; 77895441; 63210943; 979217839; 163082085; 770992870; 177243362; 70630825; 28712913; 101158351; 358005439; 650220222; 653879835; 266542922; 586678281; 809682379; 999369391; 281451402; 450684615; 763810154; 832141040; 511771133; 360815586; 508028108; 309226550; 270168837; 361000253; 768713895; 512406781; 196670020; 323201860; 184942979; 601365855; 19137790; 786617588; 830160229; 5022381; 844627839; 790242521; 865197320; 111782754; 847272790; 219433596; 189783728; 677102088; 349070582; 407493964; 892515093; 734711289; 766600969; 248443644; 592680248; 890056943; 653289695; 457456230; 43479012; 395363032; 689201132; 463611020; 720827079; 867972935; 659549528; 310690033; 224484294; 680012075; 927650248; 359224158; 362134727; 81877790; 6815054; 787970813; 54132520; 899821061; 957075868; 457803905; 994306291; 725421818; 841698368; 355514317; 730016997; 733903115; 109996418; 615475395; 733849602; 397240321; 833493284; 999810962; 578383827; 162040480; 732334477; 719071483; 903323189; 632592474; 744270450; 807135932; 350525961; 484851919; 611494255; 625171574; 393109183; 793287197; 568146363; 811795101; 828431120; 24815619; 856507956; 411678543; 638642948; 442490537; 853887136; 348219153; 546343844; 866814601; 824839820; 80467910; 973461565; 534603948; 347702886; 206812807; 555201770; 45932776; 146318638; 164709843; 18342781; 988207192; 735848649; 651160749; 971575307; 890738882; 913672384; 263375302; 53215299; 731455109; 797466464; 297591314; 345760984; 855650552; 345687322; 470088391; 340629334; 288229450; 8818989; 392781387; 872535548; 556472018; 892028814; 506173235; 191595416; 32805203; 240147443; 689011930; 446750865; 946111848; 283180816; 847948631; 106757588; 808798019; 98725503; 611138979; 814125984; 829867194; 597771754; 883993878; 270661896; 955150245; 573880775; 760301744; 599284746; 68902830; 98426273; 748617881; 588927948; 414993610; 125616437; 425727979; 544164754; 828151451; 265575418; 77391184; 169371871; 266895414; 719968822; 951371929; 551814784; 962004700; 311408428; 632840044; 268544745; 348652669; 73204906; 285554433; 467442181; 156469858; 717254017; 867963227; 45600629; 898238964; 865193772; 14234056; 111851284; 754291285; 600691164; 155520737; 193171356; 161757616; 377698120; 537997050; 894240154; 463915501; 299499621; 777557073; 668404899; 952249218; 829645371; 668729582; 715850635; 582890446; 126921111; 947266792; 651332951; 595868889; 672037109; 170032474; 424332154; 544483167; 711681114; 65863724; 41043927; 547614159; 824348643; 640140984; 423635380; 57789229; 299215518; 761486321; 961403790; 49995334; 181509951; 807294030; 948723610; 898750716; 386916277; 387609465; 923212446; 108539549; 858376963; 137577542; 10041128; 240252493; 416176651; 977206448; 416062730; 897854239; 539570232; 815097618; 970902167; 472086092; 824133073; 378017894; 116013685; 521337952; 347423409; 186219553; 2672731; 237214125; 164817386; 494128754; 408385972; 682490263; 229375645; 320483179; 977738919; 64918207; 751643804; 390727039; 565173938; 752882940; 312693670; 334128664; 437691619; 959371904; 690549093; 384911268; 37769198; 313218312; 735327368; 865607311; 328963200; 485959265; 237256720; 298136882; 256432466; 738015760; 138776279; 351147733; 775904490; 594695739; 148720899; 480613071; 911896091; 780914864; 526778711; 655584350; 603344005; 152776216; 325711747; 577373432; 457554966; 619247138; 838235565; 297923010; 384806101; 905569534; 206638811; 686734582; 229246150; 349944972; 552137060; 33268040; 849867959; 339517704; 371319060; 296766874; 586112413; 613218613; 793845309; 269093294; 228213007; 519383511; 109049617; 111233096; 411401589; 90167238; 790774217; 440834400; 10282222; 649403696; 705138235; 496039627; 654506630; 187408740; 560375992; 165662669; 874737097; 418967682; 526677580; 299780037; 914504635; 806894081; 127048194; 178466863; 778264933; 634910240; 125805046; 59021581; 464540618; 602340821; 501915777; 645994006; 273883775; 571739822; 452246871; 621470422; 215880978; 605810253; 424364346; 778675059; 512120458; 564173814; 740852495; 734979; 913826247; 816928255; 854625991; 91567632; 766397120; 563899092; 72194112; 603130118; 768140955; 922572757; 525387278; 549297349; 744910600; 350488832; 293812736; 483517644; 68297164; 289996484; 568921045; 494946629; 899254236; 988121680; 16939479; 477146586; 529022029; 808877631; 255195475; 464953194; 211787757; 910950025; 509253967; 261049824; 819918065; 805108560; 96866729; 719270792; 823746217; 990908510; 872575411; 776739651; 236412794; 379157703; 178681375; 863350710; 637229057; 364421795; 958501759; 474906222; 93416458; 757576931; 692353928; 65720221; 533525431; 968372271; 372232274; 28894149; 283130376; 914897182; 675856315; 493707306; 4851512; 127572903; 684688957; 834885973; 202858390; 27133126; 83534539; 633074308; 639858018; 814976301; 445030019; 222077622; 506674014; 638783245; 758658646; 695196529; 455830785; 502031298; 426221388; 176022553; 182281360; 685646697; 769649791; 415312776; 357232799; 820151709; 14871740; 97419160; 291207176; 383930063; 872748970; 329513752; 899180528; 814859293; 244466821; 37200173; 189687928; 182374609; 108434949; 613642580; 666191221; 686411773; 909663382; 523209093; 540974132; 616816474; 374416684; 570433819; 568658225; 464015205; 2493915; 539498767; 277855521; 106640490; 170235390; 833168690; 252941064; 499627644; 311875344; 603402434; 303232621; 703348106; 164432629; 213060330; 425121548; 267397950; 570490869; 484955758; 233299368; 693894349; 396517130; 758205155; 911183562; 273907710; 303720724; 708404775; 630216646; 746989138; 790324962; 328114443; 119651626; 504020558; 420720593; 341610613; 450980626; 471028072; 276917983; 208490011; 272644317; 229238480; 45937922; 903947527; 360953056; 683568795; 731361533; 297055273; 132425725; 745394836; 841536742; 641845478; 639597758; 657794935; 100487195; 60132671; 380491646; 226735480; 933908500; 278553355; 493134792; 716163966; 684683843; 96951533; 589926379; 834682082; 868107249; 333758803; 972469559; 357753297; 147988249; 156012254; 247022930; 645158713; 655283276; 214183096; 738872732; 534135258; 380181043; 515671964; 807288564; 783893707; 106749038; 509836999; 763905058; 351648150; 478758310; 653955933; 694143297; 951310405; 626411157; 60977503; 358203194; 854111819; 697862020; 808826516; 173347159; 172691581; 728126663; 678929657; 694403152; 415842944; 514571277; 209801547; 199995791; 362941867; 857503663; 70750322; 986716586; 533282920; 375177208; 230730821; 49304473; 769785497; 322594474; 965222751; 427359002; 961825669; 56917650; 514094444; 894840021; 235936298; 5066562; 537737400; 166246998; 525019801; 539638845; 453723276; 526168086; 901758004; 742134835; 459508062; 430472946; 472881606; 150235067; 424216246; 323644603; 705448611; 48095770; 929382194; 130971811; 399041126; 191376243; 745683471; 781411493; 174018490; 932002126; 444121426; 217676149; 230443947; 586896524; 216123837; 392536487; 134697473; 757002259; 126711098; 115053; 868139443; 359270286; 891072164; 643172370; 256389054; 696250989; 874976664; 243912631; 792719294; 99709519; 470584091; 951434779; 996288908; 484579657; 502024214; 655574893; 939266848; 894899820; 310971626; 181761008; 769697388; 466222996; 953276170; 867908727; 949809579; 46938621; 972020530; 144546474; 654147725; 425954274; 377709221; 892875942; 647689730; 916098244; 734356354; 654274781; 233615290; 316232134; 277689697; 483978150; 846424118; 604304357; 52009596; 657443526; 698891562; 413823841; 959911907; 425218606; 465379798; 988519973; 683291111; 781401759; 743010302; 58305401; 591032606; 186318887; 631235494; 708800244; 527875684; 481448372; 940581742; 905375778; 227015602; 441243962; 421028568; 87934933; 695746265; 124852762; 692351980; 408924842; 679093951; 606352107; 765422020; 579044413; 844690216; 913165806; 653940501; 55402321; 666337666; 401746611; 799418238; 40032139; 55138563; 557569706; 980602054; 89706977; 169375333; 276048958; 13114391; 108640527; 266087164; 847545633; 117451734; 11391210; 756116576; 399313777; 595189956; 832237743; 76220779; 69716339; 61911736; 740965143; 957590302; 896645567; 90953293; 599581075; 699778007; 6451958; 525024557; 943472695; 448431511; 947499788; 238960600; 48063582; 781102445; 598501845; 832142741; 424912835; 681603314; 111991617; 237575742; 487835635; 310487870; 235438739; 374600591; 345901369; 296547555; 170364144; 554608765; 977899923; 470270120; 544438004; 488832457; 662799491; 416700528; 642491100; 539052181; 242908843; 464007083; 928515538; 641724617; 795379603; 668076617; 777836533; 421386259; 825050543; 374130836; 640140445; 800390681; 991921698; 31997363; 926751678; 724784616; 522113326; 730057048; 358744444; 522077981; 429130500; 506514562; 940983637; 567258078; 832874740; 405565625; 853763392; 43686520; 698285129; 86089714; 630724579; 904627071; 85464978; 210943608; 41397655; 215638016; 111338655; 839696857; 26251128; 490434156; 701564918; 424964618; 57141625; 275895833; 384382577; 60395938; 371782056; 978297660; 249358903; 120235952; 154369612; 724934210; 670376369; 164022320; 285097697; 294943095; 347593798; 239068793; 221374769; 911888925; 20810260; 332106836; 640930275; 95822139; 1571993; 857472911; 505560884; 134575040; 192300340; 216800821; 916722277; 22697206; 63092652; 126932824; 272898142; 978278714; 863336602; 307257414; 644789132; 114949687; 803123112; 936806656; 622383655; 98645538; 799440340; 798235890; 878331360; 744176258; 613194875; 955177586; 571424086; 123261161; 388334883; 22161920; 830208349; 222479395; 657022868; 629997484; 650837708; 436611625; 502956115; 858342921; 767141198; 562043633; 154452049; 732399631; 886837771; 915392338; 97463820; 833755489; 815743615; 876690189; 754387721; 596934133; 237758340; 607116416; 578004649; 295812424; 387351519; 248063391; 828957947; 1550994; 776291279; 626926862; 383173201; 124062736; 381941393; 88375767; 628349375; 228404250; 810446242; 339874162; 288674757; 30274780; 573959479; 311136749; 649514199; 510522767; 116464740; 700517948; 173495814; 60711956; 73649675; 466086525; 713505871; 50245889; 761309518; 896494345; 205290016; 398301842; 541729999; 639678325; 539101654; 841894603; 789326330; 620573150; 95480033; 425444394; 464780613; 14567395; 567446450; 358955387; 754997130; 344779860; 994686926; 479105276; 781249480; 552550701; 541023558; 559550067; 186215723; 845108855; 585371176; 346453600; 622647901; 291909496; 304646781; 546342238; 403462827; 567770394; 892012882; 671807324; 610996877; 628356398; 500972723; 251721401; 757622414; 578744132; 41566093; 9568131; 18352636; 88567796; 849312380; 474459981; 855209670; 376845396; 617717670; 461377953; 898393064; 677685131; 853714850; 889087342; 691111191; 652897809; 9629863; 846284216; 250013301; 681831615; 146216915; 74441364; 44783228; 149685860; 982578065; 155567299; 190022990; 850704534; 836388533; 597196207; 756593216; 841175392; 687798653; 739389988; 734568027; 119179462; 625144506; 848311679; 407165036; 612966752; 222443754; 717903465; 858963226; 779095569; 29576749; 23450977; 396596171; 330689083; 296585309; 894198556; 268808083; 79031758; 463746971; 785735619; 453078891; 572862374; 948022947; 326894415; 504270119; 310073495; 27267677; 508616153; 187970481; 105307744; 369310499; 834261881; 569395278; 416503699; 322101103; 145496130; 33195306; 301653691; 57948658; 523720429; 874749261; 249140430; 117623766; 807109538; 427178967; 162606081; 378210922; 169888597; 939799642; 117199998; 452904852; 122981576; 73820623; 197142045; 278056391; 236750944; 190856587; 124521692; 383483540; 870736136; 265390031; 902240416; 437596301; 32132324; 852149148; 372407666; 928227112; 715295008; 55130584; 276247578; 606487756; 108154824; 994727654; 108895351; 766250899; 412822602; 76179954; 847030443; 341593517; 972216081; 625283404; 124182160; 125781969; 770409923; 883526511; 573419987; 786431992; 476181233; 242298802; 993917602; 63128982; 201099333; 972419967; 498453655; 434307071; 594093257; 325199559; 764372691; 970931812; 218432404; 455107601; 469627287; 343738169; 721363964; 274813908; 342867048; 659546741; 229858823; 630855536; 227482130; 191487859; 899395453; 46299454; 669641858; 923792841; 655108394; 664367402; 602526320; 753894114; 475465625; 298622488; 710297840; 812077387; 536543915; 503427692; 265335817; 544833914; 344781073; 335608224; 253432638; 514317276; 558200155; 290148653; 143565795; 332531400; 92969872; 299839582; 699073611; 184200003; 916822299; 383203031; 311209714; 258914924; 839187152; 711744075; 651214908; 713550902; 441877562; 420316239; 907821188; 271030378; 804524425; 128415226; 858498825; 152613717; 11512781; 939130778; 692488873; 316668234; 274751254; 521722106; 317949444; 320029798; 507956819; 977129996; 298083709; 108994110; 684317112; 380056639; 144209675; 15342600; 447044468; 765423875; 48236296; 174826807; 658821509; 764772643; 889994168; 309392498; 223069150; 287830877; 430174418; 44103118; 27519562; 984923190; 684730172; 854503209; 419778214; 624666155; 270862172; 712587673; 120689347; 452053366; 333894647; 102761822; 121739403; 70021915; 902051317; 462099698; 998048893; 125394992; 68415845; 77675755; 103172688; 335872898; 635883541; 733654249; 160769416; 344575352; 131401880; 506025979; 748148989; 339407135; 17650055; 158931775; 98483801; 230211253; 362670497; 907102110; 30027368; 422739660; 865655468; 438526248; 857875444; 917146138; 405463502; 934653188; 948280556; 906147263; 467743883; 821038711; 126953928; 711335709; 795905877; 11738083; 560510584; 77624907; 280870332; 97316667; 568125745; 291531802; 842517797; 670786251; 148039660; 662838808; 644807830; 307005460; 905002073; 102117; 979690884; 121507443; 535874430; 915927883; 783875096; 772908659; 150258119; 554097668; 771162127; 795120707; 907263678; 377352943; 512206045; 802229876; 613970044; 922132088; 959884541; 195919579; 234957261; 756346462; 86922170; 630496699; 980744464; 887628692; 135489759; 262207956; 108756335; 402008450; 491626817; 200622718; 47062561; 384948491; 583912654; 497365817; 699099633; 32596187; 26432515; 216004672; 551022481; 565280290; 579221053; 673751391; 482116187; 35082062; 704514749; 87260487; 197460734; 722916692; 61113360; 340664545; 809561966; 741967525; 314239966; 780821427; 148376317; 577942357; 223400499; 14676614; 399985208; 186444345; 833550255; 923992473; 210554629; 296822347; 223343935; 473803445; 264649424; 211651339; 330608627; 806313703; 890351729; 833091865; 792908217; 502817965; 289862184; 871358122; 185285186; 356021130; 536996290; 274244797; 387175493; 22257786; 421680652; 516474669; 945147399; 648356888; 833214657; 589949452; 100575166; 933309403; 481348456; 101423446; 80467341; 705000864; 445830455; 496810453; 442005704; 222394244; 409126554; 536927672; 444532098; 698708316; 322794606; 42789316; 933549386; 544181836; 835864049; 946031837; 707996345; 587933135; 13404017; 817236937; 454279812; 873845621; 631728400; 450812793; 243815532; 620311627; 788863482; 824227245; 501932579; 980905275; 537728820; 334102732; 295727372; 377406913; 54121080; 177432473; 779935932; 836740143; 337962597; 497632721; 929191435; 382555045; 459554767; 211282907; 811017252; 905404774; 28751095; 612862368; 702008322; 964396433; 583590436; 412777007; 793180054; 230081580; 943387628; 480598207; 623083957; 450770058; 684873961; 992130610; 441834380; 592039282; 467947766; 157846133; 462752014; 221814503; 837618991; 123993926; 82846209; 386751184; 985446222; 69681307; 142821884; 705821086; 734535115; 302716064; 918581344; 597589854; 979744541; 780801590; 151258415; 243034333; 239523754; 313413537; 535062165; 987610145; 279388201; 413402183; 105118646; 994678408; 595518022; 893264470; 7417830; 29797095; 845804301; 496751681; 572463388; 589587821; 673241557; 21681909; 527075932; 735298391; 291486978; 153414423; 955731850; 394656414; 504455013; 602586638; 637419903; 552072418; 744786479; 182079054; 516090542; 55491040; 860505264; 265298337; 910170102; 148606277; 550711; 607449069; 627439041; 711229389; 400867143; 424323405; 114257153; 72529876; 511538404; 211256457; 657732567; 485383523; 547772476; 547358131; 163132628; 205849393; 65393657; 328404506; 304144094; 823318138; 212474880; 75012680; 128569206; 60448465; 628809620; 742831879; 54377260; 229268320; 508761910; 997417432; 532507571; 546257816; 775654435; 142993702; 249584721; 949102043; 575853896; 699315409; 142763379; 798850650; 689353203; 882075789; 503968858; 92439900; 955548076; 231713117; 465665225; 466065889; 393895450; 640623601; 98743282; 269656946; 536613385; 504555471; 339593568; 386667000; 18716008; 183050910; 754388904; 403854704; 220374593; 835351990; 917362804; 93211943; 592881293; 850174752; 507600220; 118861554; 611403710; 548850607; 118153251; 687864045; 686090623; 609436203; 159582640; 43355598; 411966569; 252462984; 427929900; 661444374; 906160928; 187694341; 631642231; 248270882; 872526568; 31187265; 606118115; 665042027; 445286874; 851674831; 584286173; 863563866; 855450125; 869440466; 739538267; 928009841; 46440357; 502663000; 430070375; 192526732; 31874965; 903062980; 382954155; 99090212; 996881890; 990785198; 903604446; 698467356; 689333110; 700654846; 55985401; 938640394; 232949478; 536865646; 298638779; 365760104; 493984238; 187048744; 772564891; 221382283; 26186949; 497620193; 956684631; 847688900; 794356533; 433613864; 927520671; 529879643; 616219167; 226237514; 275097770; 444190359; 699467156; 114473728; 597862221; 365473972; 852565186; 217690366; 951917084; 334048142; 379477186; 27997477; 471780069; 298482411; 861703550; 880374312; 713684835; 260106274; 427812218; 544283034; 863526030; 143727961; 425242482; 421171099; 579058349; 491153067; 753284777; 843699358; 916524733; 221081765; 367418885; 534403386; 262407867; 543578996; 80818438; 70951183; 678909670; 468795248; 557483631; 468769780; 150177164; 677608207; 554731952; 271257442; 563831344; 112369539; 127008074; 587603809; 200603435; 701198375; 26557324; 474202748; 984144946; 255756859; 749146472; 377941006; 605371998; 593708874; 917524006; 371614878; 743622904; 511807870; 835668962; 358792619; 185324611; 581942111; 618806695; 456858673; 411154485; 701154380; 575569289; 443661543; 460171001; 87549866; 981433104; 800410752; 185573811; 813217933; 232721518; 422708343; 538107507; 217611337; 610048458; 987093930; 232072260; 82754929; 712384275; 2786805; 783219078; 698644674; 573266768; 85958837; 308946455; 548828271; 287490875; 498974622; 962049388; 12874718; 861300395; 788513573; 914025665; 84575144; 563249867; 507032375; 600255876; 376751574; 105694271; 724386688; 759500505; 278236706; 99261945; 695291043; 70200538; 436152179; 430745886; 778174756; 737530107; 246662136; 429761447; 791600337; 777754281; 468862342; 759190538; 128049729; 734583859; 971610497; 583250102; 48232392; 552219440; 839160534; 862049099; 65657432; 479461291; 767376095; 760807519; 127344486; 198325667; 630831439; 796300787; 381056694; 102915665; 362444112; 52718319; 60112500; 628290008; 387598945; 326938880; 371633937; 442672959; 14924415; 830002670; 5402449; 479001138; 126893908; 152933587; 653119137; 396189589; 32587858; 147497141; 622125894; 971081348; 160558586; 398991125; 238809427; 451575568; 975578324; 466056822; 212132492; 803331093; 172203591; 744840716; 291778247; 386046365; 236414231; 838046457; 756067586; 348862889; 108431964; 637330101; 915570232; 204930104; 483588234; 660881673; 833161033; 923167737; 823748946; 881610956; 298385138; 569150964; 284413680; 750628659; 977144252; 441828026; 734662739; 657527458; 95148126; 470385839; 965726511; 213638782; 348560487; 80161183; 281421848; 797136782; 801589810; 364802334; 867239737; 167549135; 348455648; 612588607; 602222808; 269754597; 82021429; 860912224; 540358324; 533848707; 1663625; 943789921; 994103700; 761923860; 414763804; 609404966; 445716060; 50521175; 437672112; 93080132; 756852947; 153650599; 187332027; 181371707; 822722155; 71926247; 68227547; 716404947; 561875674; 373443029; 363785794; 178282051; 597078228; 302442205; 792967657; 902922246; 815355688; 101052735; 64451464; 206271470; 467239626; 27572433; 730045697; 789132546; 158542177; 452195896; 489527629; 185785094; 560819405; 451849829; 40198825; 803879645; 93282749; 804321461; 93831396; 274517867; 705471621; 102972677; 387281324; 842262796; 178665010; 336853449; 969928579; 460034963; 263791127; 454786864; 612544492; 365176543; 469927936; 594215866; 995536217; 885063704; 211530428; 473415159; 37147314; 258307045; 661641928; 288126494; 783407021; 996852781; 911217928; 489652823; 51017878; 908904759; 51986151; 803672625; 857437564; 496137798; 30149546; 903658032; 172784717; 295499493; 915433889; 150243570; 717051074; 990201906; 9132803; 394801138; 685561079; 692166514; 952374907; 498049150; 107253974; 894845502; 397224391; 492403405; 812638217; 30786333; 802178024; 451338840; 415147449; 983324397; 385624237; 243498995; 127672590; 502375938; 664518170; 48467405; 389113596; 4474627; 157932724; 177464993; 866636716; 950245277; 263041178; 656402356; 605641331; 495544485; 116388505; 307287636; 708550557; 906548173; 411887450; 913647044; 798471602; 286061659; 976456296; 108784299; 18696377; 762880782; 462418643; 204245298; 971613961; 142291277; 906960429; 548372594; 690489728; 853749016; 242543477; 32289461; 874164142; 70452467; 604089835; 1341973; 964185035; 917166572; 550196171; 761594272; 620566452; 61035675; 260018754; 931420600; 499625628; 259790475; 9693130; 982468431; 317378819; 325141551; 777671027; 18064195; 200113735; 703945737; 448211270; 229330282; 636535269; 2492629; 95087756; 84143037; 54211884; 843512513; 755078917; 239593831; 843906871; 145422074; 26616642; 117556511; 335550359; 53340257; 188897110; 226789277; 772597829; 952914736; 553000377; 308693149; 819232713; 504158979; 672694087; 129020052; 913618956; 31087628; 12091558; 916697904; 449193493; 114122927; 209367711; 647579183; 182477319; 789253944; 927297270; 165279368; 420889228; 888790417; 21784247; 115343255; 973993941; 727060753; 850063060; 269751479; 95425835; 964065018; 523282656; 405589149; 772765391; 340302667; 890136265; 283292665; 546698202; 989559670; 737137916; 923147199; 183957401; 192978258; 189434419; 759529449; 174218234; 164810975; 606912945; 459223749; 456388180; 412049780; 789934571; 327206118; 666789787; 350906399; 631172824; 641243294; 123746251; 70932494; 841873730; 195630248; 861839883; 984103063; 685107299; 822614627; 866095524; 631094696; 961022913; 590480772; 294304843; 646241887; 116934945; 609049700; 20725361; 227602979; 805091251; 268654597; 785876780; 472409626; 536808849; 754691167; 194356215; 107171381; 2880023; 456832705; 280261077; 831019323; 997828482; 759094429; 654088655; 470097007; 841700280; 19543394; 933463141; 35492276; 772106970; 745924732; 477628475; 204059872; 709574458; 109180162; 455436527; 113527887; 589753855; 64090089; 867812833; 921233803; 863945408; 455217386; 349456195; 471700479; 210792697; 977432664; 337214254; 79218757; 446340576; 716306479; 170145914; 406086831; 829303634; 867615331; 506838418; 416230002; 611868420; 772295133; 922751639; 981419135; 44842464; 43987051; 96654235; 942411568; 329108060; 6316197; 995583793; 736108837; 452555357; 327056104; 651881158; 562595976; 86648982; 366811158; 209031286; 407124425; 122013472; 824528362; 984821247; 683693460; 73008278; 384563378; 171043810; 736283913; 292396415; 339032515; 199981852; 752300446; 4732387; 230335129; 657187462; 574812300; 310686240; 67631309; 300882348; 157014510; 548920462; 238945636; 198833601; 970375609; 64484990; 836846530; 287040875; 89122495; 639708554; 364189694; 398363045; 299520774; 648883862; 761466178; 99196379; 151178488; 767483132; 881560900; 785403252; 630620891; 354131885; 992104494; 714228281; 349166385; 868010963; 367587778; 126621826; 179132663; 468084160; 111258767; 127956917; 352284708; 296197177; 431848960; 959074166; 878132058; 103194743; 475244318; 469846826; 166468299; 816791008; 19103245; 423703346; 845831112; 876171765; 402203026; 70797383; 376209559; 554300052; 476570954; 208779860; 410781991; 959649652; 498149855; 743274323; 608556278; 67642028; 288029635; 593389850; 645467604; 139145958; 441673867; 691269098; 662155350; 207027061; 93805382; 519000743; 212417602; 528324909; 479352134; 323074134; 433029390; 81464130; 698502328; 653460537; 657964318; 788613723; 211316966; 697568450; 384932735; 513262351; 933635291; 698793933; 74109858; 351107727; 458465006; 64009026; 619700931; 638372753; 812659218; 417724236; 311272381; 356175554; 855770544; 842714713; 293945836; 404135702; 875881088; 561918389; 543056012; 552974044; 447766610; 237437930; 328714154; 325467462; 33867673; 615839298; 471891443; 989410506; 787738187; 49307100; 475915086; 703457969; 153074060; 32272054; 321941683; 997657072; 670370406; 572670962; 349024146; 414784721; 941606646; 883027884; 814560973; 326659499; 691864088; 556008031; 336978785; 962602386; 839382890; 494233291; 909769539; 351258565; 240698854; 511256941; 353898293; 163089633; 269788296; 577693874; 712027283; 706362795; 440854514; 783894872; 690477947; 18436334; 146052250; 646257436; 348097726; 983349089; 483747684; 563044737; 450755163; 855282076; 686080119; 538999184; 566069905; 730215846; 19776543; 732743795; 113950847; 709310298; 767459128; 623674767; 192803424; 311828444; 633332532; 465535625; 139734057; 783507155; 991084923; 404626513; 493811622; 50729136; 147959457; 300005264; 627509132; 991984257; 43285289; 123408021; 339002812; 6442330; 40168824; 995610208; 823156152; 137327698; 674334257; 568965138; 468993588; 679442740; 538305224; 492549043; 787182647; 319239553; 350901919; 787968536; 357226434; 331749326; 70564748; 771681235; 410663800; 896943772; 646544713; 874137591; 216188898; 343984111; 773084220; 726745540; 398067119; 199468967; 585868074; 25961489; 500695429; 989461266; 121573285; 790179037; 213010435; 521766615; 86547792; 894909729; 489385449; 170643496; 35847729; 19320805; 492855592; 743207707; 592702471; 319734901; 128221613; 525339826; 269199749; 686641834; 170585131; 53263260; 909790347; 322079170; 887766056; 566474497; 899610144; 594299463; 65488099; 253760287; 255957005; 408370103; 643606868; 184063258; 349314977; 717521204; 775544013; 691344900; 225752669; 182398353; 128411811; 164375273; 487393422; 93785379; 489806204; 89570248; 846472334; 831539871; 645020385; 53130637; 241009500; 661512133; 927025869; 14791444; 657782639; 499786962; 961947570; 905695879; 889253410; 407370681; 623844946; 890810903; 253539852; 748963926; 119034505; 864159548; 750805705; 689724202; 450116139; 818704301; 479718014; 112504023; 286253109; 123733959; 378218282; 393610880; 176410741; 70302748; 463436044; 944913479; 185758270; 373724659; 918662294; 400349959; 641567297; 959395052; 169489353; 139799116; 789276735; 521574740; 787901250; 544148090; 366881168; 924007307; 724620443; 144061441; 589906820; 467678243; 636782546; 549990135; 599887231; 300700479; 829091243; 733818773; 201401033; 7244160; 11553420; 662927308; 500263678; 905054490; 783200036; 911904073; 200784470; 950224498; 694891057; 623521635; 105475825; 967106642; 994515796; 985241658; 925519025; 798517936; 825056698; 259899342; 322489882; 511787252; 383107365; 941260153; 382972505; 962814236; 608756627; 926571706; 286495217; 876790071; 199533558; 144835798; 462661283; 156096027; 241955116; 441411820; 354235452; 753245641; 757497145; 724591365; 362072743; 446059002; 840839407; 121158062; 704842565; 895178492; 339384571; 131622645; 887036686; 663783842; 874125293; 965362061; 387827664; 812435164; 131760913; 642646565; 493401004; 612136242; 771900662; 182569964; 670445404; 149858458; 532524168; 881434921; 631164701; 728408894; 129383526; 413081944; 59372567; 102679410; 926904487; 672143526; 817721021; 361016125; 792639577; 337389253; 600717499; 189200865; 595521319; 616380678; 165360987; 198787050; 504677557; 541145199; 604760555; 516406898; 220853071; 667870934; 661335854; 118942040; 338991649; 136148740; 795010415; 151262017; 93304104; 134821879; 253653887; 256861757; 675331235; 597314108; 275989695; 329674755; 9554267; 54025976; 940680952; 34770037; 320072902; 993938943; 89527372; 234497428; 598747178; 98639246; 658373476; 353399588; 964723799; 44392584; 726330607; 804391587; 77644147; 91810584; 716265710; 208985950; 956459216; 125352141; 39565889; 570790418; 999508368; 214983911; 506148375; 1830495; 510862771; 613604370; 893443212; 379497383; 93803389; 899913808; 381283022; 709513887; 194619626; 329991324; 78526345; 950439664; 905949153; 313288224; 164241010; 463315704; 91247292; 715772595; 701723929; 546570225; 470361048; 963014288; 85419086; 354057375; 438976318; 454365080; 86857882; 730205728; 865422924; 294812948; 844451220; 154000613; 729459795; 297949160; 917459813; 131316783; 528022606; 759982883; 711532674; 400454218; 277840994; 828948352; 863507030; 233377297; 997831067; 895136436; 803073800; 535758296; 819127355; 425722882; 37825977; 456946713; 313487464; 942231049; 667335359; 823958951; 630662182; 268322708; 757236929; 334097918; 790977093; 374484815; 712338406; 443126062; 47550849; 34885942; 420771583; 389652981; 928033691; 568641930; 218793859; 769859899; 582018664; 656773374; 861095043; 494943623; 747769398; 788793474; 797221580; 740187084; 800424962; 43411955; 831068666; 987480050; 851862503; 324652663; 505481015; 501412158; 526878656; 585903468; 636585410; 869150159; 122285485; 391014296; 323462361; 648186533; 437562337; 830706630; 633730711; 487384309; 282637221; 414144823; 719628351; 423708291; 707665418; 944231503; 776275213; 5727132; 903728392; 413125398; 690182629; 803602248; 333282596; 11367105; 244462650; 764914559; 609785263; 497636887; 201501716; 165570983; 206973115; 983356136; 525217798; 340640558; 27839764; 551539338; 42859006; 128624748; 902688434; 250173152; 119745670; 562177080; 66379953; 252345987; 156984854; 765318750; 608433502; 459621515; 227103320; 876284005; 761254141; 427165774; 92636386; 913419165; 769445800; 4737033; 220368607; 165159109; 948149168; 194673369; 791747464; 595191901; 494803458; 575968485; 897326320; 485961647; 303177652; 435169151; 961105254; 473893641; 786488664; 327961475; 199911801; 70313714; 134366967; 383977927; 451794604; 317289429; 68871036; 585726630; 100701868; 441223547; 194415462; 518852541; 7732306; 292557169; 667841823; 17061579; 439986594; 716555218; 256931101; 324700067; 377523696; 865999332; 666319565; 85077601; 566605840; 436284767; 731359232; 319619808; 721694381; 315100832; 680606983; 148253136; 344015631; 255935660; 135090679; 751255722; 208813107; 447032024; 943753744; 317456000; 39261297; 121812475; 519119517; 920515611; 619900050; 881870880; 496976303; 649665773; 393296258; 347997265; 301661894; 150030699; 519011061; 885786132; 447053672; 965734572; 32590280; 632044402; 40853537; 597414551; 496382433; 861641306; 362585790; 770878143; 330910457; 608891230; 271793534; 260065285; 749820792; 947792540; 214599342; 466207845; 495644254; 48653050; 325558804; 884726568; 42048855; 14920080; 796880940; 380680947; 658726321; 563698445; 387112943; 855377395; 619788393; 71946350; 258031921; 452196951; 928121771; 622026369; 347389218; 725211679; 756516438; 482376879; 902727364; 282704559; 55306934; 517619852; 836073444; 317959502; 905928742; 291885742; 226974811; 780889766; 217520909; 135615153; 997345511; 705178997; 4240295; 62781769; 783213975; 57209856; 360543485; 292519030; 334195795; 976518151; 506598610; 849151253; 60240374; 348258984; 515371581; 800784023; 24037111; 602096834; 709240161; 307709798; 650217832; 13430132; 761548158; 717975634; 999443620; 637853664; 625095127; 454376941; 637440609; 287586763; 334647973; 980645610; 422494714; 626290215; 346481503; 643293753; 730766914; 608893154; 929852117; 660566422; 48426236; 306885361; 255310417; 920057578; 385613169; 155955548; 139247653; 980976702; 367478384; 399574776; 278967053; 466060271; 261359021; 871488412; 553405687; 871266891; 615631311; 87822237; 822101501; 792200950; 118906384; 594841654; 939431791; 65195004; 848063644; 405439026; 986006204; 637145860; 920845304; 483484701; 159691455; 894601000; 539803375; 204400391; 357818744; 61458778; 453772285; 509821462; 163741611; 204105020; 904871383; 227797265; 49068354; 239623486; 543453994; 902827596; 214368868; 534559344; 717186469; 473772708; 342743418; 105787933; 573262939; 100956792; 90594381; 639253991; 399560554; 763740700; 951852462; 606132629; 140244965; 401034041; 819290077; 747828409; 99414241; 334657969; 650313812; 901796010; 805822583; 8291026; 930173250; 86660904; 598274135; 741217387; 360511327; 163975600; 530233829; 784456925; 225893227; 871515415; 781947096; 185932030; 749559795; 639393243; 717969245; 26987564; 999368190; 140600628; 473643487; 377185764; 779976882; 686544156; 55056651; 954295305; 760289446; 30137113; 869413687; 683140231; 920314600; 639744752; 548602345; 345139341; 558838483; 382843061; 220279155; 840132385; 656809855; 998155886; 809036415; 372746251; 672315731; 238832869; 769981208; 868980441; 3964372; 876183182; 69313736; 864460811; 845777556; 95636063; 305026418; 77488030; 198976519; 591871301; 328410898; 539910226; 498800524; 977501391; 305560979; 413454649; 806793662; 308893296; 812231008; 561346538; 888596620; 674849160; 831318399; 309749266; 146842613; 85584801; 832594969; 628849979; 280354748; 412851900; 257151579; 934117154; 556655878; 458473368; 753739473; 201792188; 868048164; 43536808; 423197373; 772193444; 898126744; 726933234; 260156046; 315198333; 382717065; 633196870; 552681771; 985251576; 698468686; 393598031; 416481180; 654908337; 453975102; 264915130; 355337780; 473696724; 769999711; 246001679; 107580871; 242079551; 1272129; 834023017; 442737321; 320710013; 222639325; 178595053; 99127957; 391285722; 776940988; 940699372; 884069994; 966590688; 950421472; 155221452; 773669840; 118931447; 242691820; 248786395; 672770470; 787954565; 51077013; 802129078; 886859711; 176052542; 675793993; 119469312; 400711049; 288207980; 317733333; 689233408; 570166904; 108477116; 304851076; 667253862; 759748576; 245299192; 657291825; 805467083; 669054868; 81641053; 623612928; 847975179; 650066018; 106940312; 727793810; 533336539; 333547088; 629783912; 888343521; 507107968; 384396453; 497563114; 708338395; 262066367; 20427459; 99094704; 774796182; 205780778; 934622725; 366471655; 353625590; 883484224; 152471479; 775646384; 923614331; 459177118; 368071042; 637570408; 35672561; 51110147; 397304920; 304223916; 216289100; 56698398; 728921564; 930819362; 523406059; 928256513; 397919304; 67449908; 590513425; 499395881; 537396649; 727085587; 947712556; 55437744; 991509230; 903979098; 459484847; 919364549; 335621908; 406656205; 153844077; 282510536; 714868578; 703115129; 127160406; 501666036; 780306807; 655654022; 589076451; 167464093; 484984905; 459239244; 845012639; 10402988; 695259675; 253309331; 146643427; 236467539; 46968156; 79973324; 764826659; 509530489; 381662960; 417661553; 282384446; 191192903; 706451423; 568731543; 594003873; 128817606; 986449483; 794351301; 977764100; 274327776; 939495312; 863528059; 438154536; 156246229; 917579284; 804932037; 199616525; 737640750; 988798782; 472724472; 967867814; 116693786; 356246460; 603026390; 322089185; 359331761; 267724635; 768996912; 200668538; 563928225; 622037151; 105505973; 941365443; 912542580; 172158711; 654452275; 819436926; 385688339; 894889043; 695387219; 473488116; 979632077; 522604533; 574114548; 29787800; 938007984; 15317607; 45997433; 193034224; 581551815; 353543020; 965722020; 669216545; 607629366; 966016416; 561855598; 310376809; 475443042; 81299601; 213600371; 542790812; 476768449; 12823542; 972224798; 606350844; 231817187; 159195073; 30861869; 862775512; 119541047; 972057392; 622492715; 770295861; 809926379; 797819739; 961632593; 238954227; 659497680; 146868662; 579702500; 59154041; 173375436; 481675429; 416478138; 785029441; 33006471; 867714383; 567523569; 150595408; 879548633; 947719531; 510643047; 572327714; 775246930; 85093749; 36598201; 821658628; 159713297; 989924650; 982922473; 622454946; 644840667; 36257877; 40669088; 333995089; 699619925; 931960470; 936986607; 878916429; 463105969; 298952159; 629988994; 518990958; 370077195; 180474042; 425494600; 523369608; 34251923; 102298117; 477988840; 696955262; 559178320; 863300296; 552108156; 223890319; 203413201; 842210914; 730957504; 956664642; 893908120; 697802272; 621980562; 836446058; 559888488; 694099383; 860947541; 230241667; 338144420; 226610846; 306040113; 833870836; 138585956; 232778950; 916826726; 121536612; 333899767; 356693083; 12737312; 845385229; 488673485; 435644630; 376303353; 523247955; 922163663; 954264428; 906106591; 847821630; 765288684; 690068939; 352313403; 222701697; 988346977; 562927392; 683761500; 290525432; 645726461; 40679495; 463618594; 232044563; 562261499; 591542643; 480216817; 603505580; 840587235; 236337802; 186764883; 335536337; 113072064; 604468985; 40058034; 870663440; 81733071; 486802668; 384890701; 443764963; 677241050; 56249540; 471884446; 462646481; 620174218; 349728049; 441532578; 309070380; 58268238; 529633260; 338261973; 63565086; 154480063; 71638770; 838098231; 201042539; 585459785; 302741145; 969637667; 626242866; 691915447; 514708332; 465606153; 468561114; 740558380; 52102678; 53644179; 356462146; 58253716; 918644374; 115722343; 929154863; 656212177; 525975939; 133527040; 453656070; 84097424; 556903574; 926610626; 564499236; 715513991; 49114183; 603484514; 928122885; 210556678; 485338726; 623149659; 490713745; 86867867; 394883865; 418334673; 667101544; 41794986; 673632058; 707617170; 763347616; 793572168; 406151962; 818883741; 964923422; 537388663; 702255211; 800766116; 101278506; 989795625; 958854967; 418549854; 640375469; 104978782; 425327609; 203528494; 327022161; 527987114; 326735567; 15593794; 791227673; 241150071; 330012733; 730738620; 832854377; 830204392; 724967690; 16471897; 616011050; 687336165; 713200655; 165167995; 182133124; 176568493; 431692960; 321783101; 856003309; 943327501; 144167625; 646894869; 325142180; 741185248; 42026832; 180112960; 143296012; 17983380; 459333438; 321484168; 886740663; 661296443; 475503403; 375620223; 317388745; 984231132; 372129810; 725660832; 74883177; 514462654; 933618258; 239436472; 399926409; 659664229; 587133613; 421428672; 82123937; 405392910; 485416338; 245733506; 155749169; 518347950; 889988349; 750862373; 235658914; 487873352; 936301477; 673367039; 3744476; 312448868; 575560935; 929025991; 686529101; 764045348; 870063339; 243701947; 46149716; 770399883; 148052133; 573613111; 541756363; 188982830; 467492118; 922095873; 158994555; 148457074; 711375750; 508437527; 280039718; 618269476; 699546541; 767671431; 636885237; 874666321; 256861491; 184738688; 517813397; 770074545; 129319528; 658153434; 735208317; 848378474; 545882322; 478916031; 791056633; 264833321; 839639649; 166397837; 79154968; 874917251; 340229964; 914971082; 437734844; 70763438; 376809198; 217336168; 342635024; 600313809; 407257561; 450739080; 229851494; 394565457; 292921821; 73201143; 461468105; 20683034; 185391034; 796553397; 191691824; 889569223; 348537467; 666887274; 740984656; 496420487; 946218219; 279943961; 337847257; 642716785; 938012261; 947126638; 293472223; 6853201; 500024576; 557579617; 774194436; 341604837; 64522216; 424998991; 911056852; 835800809; 385190970; 101341835; 429501012; 714712746; 413945031; 656836328; 670421116; 855323592; 527296686; 531902983; 726583011; 752132134; 787387869; 113726720; 65773883; 239452044; 628963805; 444746046; 757326595; 655429142; 147917151; 940104273; 782292889; 792778335; 182516282; 245337938; 639088844; 511078281; 691871691; 927493999; 763299362; 511799661; 577520650; 478824143; 961247666; 108758482; 922693704; 318430650; 23774529; 14815898; 619877237; 939573988; 737027925; 490883271; 76661621; 974339810; 936844288; 149021067; 551615295; 283265813; 371474154; 580838524; 251565705; 861666706; 76276418; 595278132; 108767054; 122505759; 657374792; 502290358; 165108036; 306541638; 370991590; 844011315; 440205473; 659603378; 565477491; 866000968; 443037598; 42640126; 943213111; 343185305; 62098379; 749803486; 398964403; 563798679; 127844554; 630978417; 814142843; 116534069; 301032146; 606037151; 262053961; 312409123; 662094667; 680595509; 291230393; 411224718; 30002813; 832844214; 779951967; 86189698; 982418104; 485914651; 200879493; 380516057; 970160877; 561665144; 392718010; 433336958; 153489251; 279216939; 372050869; 854933703; 184869664; 179082821; 864187943; 167333047; 679171604; 342168795; 46305694; 133766843; 318474505; 758299548; 701064981; 15351785; 395766713; 557538075; 760540930; 91091692; 750637706; 663709669; 580128284; 920002310; 112528280; 725981303; 207624290; 17866602; 848919947; 276677938; 361948481; 96302837; 256742278; 586381567; 618390516; 890808562; 874258535; 521050272; 542692344; 161127638; 149277684; 225925476; 71592079; 86224677; 606354662; 1359784; 60931459; 467806574; 334659208; 960376185; 60032566; 390091012; 369043539; 805722202; 476628711; 941673649; 268428342; 224463005; 169907601; 656392558; 906229539; 646334981; 70270720; 328364099; 639605063; 280212543; 912467907; 324971838; 153777957; 913630477; 560870849; 240298894; 814330379; 205383282; 641760334; 363722593; 69837834; 172809878; 446316780; 772027092; 708344159; 864374269; 195774083; 14505393; 690945756; 633223151; 61096477; 881734101; 90905653; 684675302; 786390648; 907272451; 624122103; 502934019; 281543411; 240041796; 398457215; 827096929; 273615457; 408189042; 252327484; 806503217; 78483397; 466584192; 654048051; 538303266; 407582589; 352089919; 299052818; 252819414; 762216813; 68565372; 794341730; 463962909; 513562642; 560169752; 540083927; 501673845; 650225326; 317909362; 976440511; 292627398; 43854890; 417987478; 351729685; 572199574; 119384876; 303784656; 3935687; 964624063; 200254569; 391969730; 388526743; 582110362; 473479844; 132116668; 826093618; 842587090; 230752332; 540618618; 358167451; 563259802; 694737016; 648099449; 34532892; 458514169; 694532678; 65506741; 962059417; 344900593; 873023359; 89458129; 288020641; 955084221; 336229224; 594034855; 943529529; 736010414; 281170394; 649947636; 689958371; 342664110; 448302606; 638913052; 829788528; 128805900; 592264316; 708042352; 634957532; 295369056; 622167982; 215371606; 39806602; 869494830; 391114782; 455520735; 773342829; 262394886; 678038231; 661551635; 479873124; 828333087; 214582282; 189069815; 318044445; 801014194; 284082800; 232415889; 151344286; 725060191; 447922746; 622685782; 115748661; 810224392; 291122373; 647319031; 631065926; 918713579; 105117575; 542034560; 793334581; 507121527; 260043033; 884862149; 761128536; 821163402; 737154072; 644298962; 467149284; 603670043; 863443470; 223332213; 557491260; 737622069; 86666155; 820459866; 492756342; 656456410; 500238244; 75554053; 263295506; 218216621; 878217215; 257860507; 88262273; 492254399; 387675100; 891040540; 897963412; 333082867; 265836381; 194407491; 744637434; 391294459; 809353264; 762780382; 64832258; 338062011; 470040203; 4009213; 500631374; 741243312; 779509557; 492357834; 542936970; 625794478; 939845814; 143867823; 812663566; 397563416; 924826282; 620632838; 939874596; 180562159; 964747116; 488489155; 199164773; 469186575; 470353995; 441514559; 12830066; 642945923; 794258648; 217962374; 689242968; 551401957; 760249867; 152138324; 254341133; 189830026; 920524378; 407153927; 491301312; 646849770; 136923764; 33143185; 769157792; 44265676; 938589327; 805688306; 701642260; 261710881; 194176067; 285673952; 767817426; 456395010; 684454009; 355282491; 884650312; 859569066; 141914772; 946025030; 812944244; 372994397; 634983976; 780726202; 555178852; 400664130; 389485698; 5482789; 263801809; 972699879; 356000619; 899476265; 291278987; 696809429; 364651264; 855787300; 484542862; 220769114; 801751221; 511451930; 578435259; 596614547; 702613380; 985081229; 925575646; 662252739; 655036117; 778635914; 927359272; 25425434; 377830153; 352625260; 729747268; 687501785; 717980991; 874871791; 338258900; 205635790; 836777528; 975857914; 769077205; 638539459; 122739054; 874683377; 102304544; 604308856; 597344041; 84287776; 493618054; 558562767; 648026090; 561866199; 201553505; 85441767; 672423598; 90179469; 307931298; 325434873; 731484491; 459703868; 435705316; 784387915; 545384518; 776901476; 424386203; 371327346; 31288142; 25442480; 900002095; 784068122; 147622697; 21647647; 59738181; 112419068; 590967575; 888862589; 341843497; 886067466; 411962846; 215061741; 715672008; 237415990; 9746881; 289913999; 241731244; 852829064; 96528216; 603347096; 14398554; 385304577; 53467603; 30243285; 646858473; 544133241; 362197002; 331159497; 655434355; 736429192; 248767923; 697636101; 652061753; 723623541; 114422792; 354614467; 389767792; 975330147; 733094550; 892654737; 481748809; 355412917; 95602166; 74014736; 555150720; 452660572; 772002207; 63700638; 921619045; 878295211; 990918787; 238355255; 95385251; 638571946; 501951889; 750743054; 699396472; 849078591; 190353747; 77790864; 977343510; 936871772; 295038760; 746967104; 839523183; 935166161; 790536266; 189029506; 278861001; 356488416; 995875300; 870268076; 541535151; 431731831; 221984490; 746722906; 213622200; 76910324; 530209127; 418458240; 751192568; 889467789; 616108636; 95732237; 406260104; 966453697; 287936378; 482790935; 27734855; 517986404; 999283099; 669811582; 760262942; 907836269; 970556743; 312915236; 444065497; 865462304; 843423798; 89161073; 682551540; 204877621; 913124916; 588333694; 297403731; 610902349; 355793447; 182496368; 286272652; 194329039; 438892959; 348860635; 880618569; 626640320; 413513638; 751359068; 956839421; 738328573; 574271021; 266008860; 383149682; 197312503; 688149067; 290384672; 915899594; 130427330; 282742505; 886506149; 201488098; 167895609; 669746834; 897637956; 570960924; 785486924; 386775320; 128603468; 83793700; 705911929; 998276116; 128670396; 543349108; 670732386; 151829741; 43193976; 129262986; 774689216; 895587689; 711536001; 762108862; 909677500; 949522973; 702351275; 424198719; 396807064; 197710589; 513897924; 985299046; 64769814; 31974864; 947869199; 22933592; 457267985; 334976277; 652550636; 49878909; 607444129; 443815243; 864727468; 719389792; 858151049; 257895499; 27060872; 617814819; 350188941; 663640429; 588479712; 699357870; 336398142; 455129307; 510438721; 876717083; 162200637; 152705495; 184585887; 900579906; 66251441; 36504593; 815561438; 580587588; 362417268; 532994023; 676661094; 585052934; 619800981; 829126911; 553386709; 466201807; 970129910; 462548233; 283688667; 193323320; 635302287; 437753627; 918578845; 890626061; 536007441; 988831289; 891558528; 559405764; 119020836; 525450748; 933869879; 927995150; 377746070; 858628370; 613509911; 626411997; 830417021; 52130853; 590509436; 783583442; 925053370; 887542279; 449282987; 675607039; 632805285; 626138232; 169071531; 831329039; 243431695; 971049457; 677630232; 747911043; 19729834; 252608176; 311275805; 963375483; 70055219; 668376734; 738948060; 451069846; 997998233; 285308450; 12889275; 639494014; 141865579; 938034205; 980199125; 603347856; 680693939; 749524387; 508218632; 67509512; 159772484; 982086714; 619375349; 690368426; 663871475; 248260384; 233397250; 599875892; 570612429; 260512743; 295083251; 585817685; 476100019; 689149558; 289284961; 565587276; 30245563; 136223304; 737246297; 802455624; 716909424; 383473777; 895918845; 828336780; 371878223; 279109048; 652140009; 912671880; 5051642; 635291450; 434052018; 173173438; 982316298; 440193070; 648082298; 351420879; 827536354; 52031930; 375214524; 625593681; 898479373; 390713088; 680824567; 261290067; 416052793; 954841593; 402161974; 475076450; 176224775; 583037519; 266115318; 666634439; 543253264; 976032253; 462713264; 281649847; 878723115; 748469233; 87087922; 229802340; 34608902; 480220675; 778423760; 870014672; 393045653; 839268220; 399520508; 286554939; 447866797; 693279533; 514306660; 162363220; 47117927; 82037214; 990604358; 367097064; 814694672; 835465473; 268729872; 791568160; 467278201; 550083576; 896161117; 529775954; 324812669; 335944836; 819209428; 588588556; 618521210; 91213046; 705375079; 912231038; 63600173; 134773426; 190900092; 6456499; 157169722; 473593087; 709198116; 90524967; 329957185; 616594118; 176412862; 829082205; 837444426; 923503799; 723625860; 685243892; 361736373; 210828135; 556044010; 628011388; 233978752; 401551127; 767872185; 995949976; 275913848; 217045412; 678651646; 3981532; 820460570; 176941227; 318833606; 529921086; 354114745; 289971104; 530150500; 64241668; 960814808; 737582380; 853465117; 343372647; 908821099; 529345298; 748275402; 595602541; 553067027; 487109877; 124856792; 547434064; 589469647; 672060999; 875580601; 268261496; 79183330; 84720692; 894559277; 285179638; 255997848; 153887222; 811456385; 250950583; 802025285; 910450107; 430004758; 18921785; 335274002; 714587760; 408944501; 712905480; 530754968; 304590543; 78000643; 23675883; 452030185; 68958464; 368305647; 969921263; 829016341; 715133654; 965161937; 98694574; 548066475; 728055933; 731989315; 384163449; 762467737; 101393330; 575099493; 15851084; 461616413; 804681234; 732464930; 28442421; 186249276; 871690384; 814207523; 923745992; 847360143; 129658939; 463845160; 874543960; 749976844; 127868007; 851522791; 913780219; 381147861; 987785410; 779422572; 252428464; 993269925; 812398347; 416713613; 261067128; 170343153; 196496897; 50895776; 273708852; 801793864; 67611529; 655793256; 236957846; 720310989; 240747922; 816377160; 578396687; 284935700; 147770240; 188672303; 142580246; 88251136; 463124928; 461119331; 172523562; 341958548; 696532302; 763173939; 680174198; 489484590; 331712216; 683578482; 299306413; 127346185; 454246286; 478455564; 778563688; 575788118; 965676751; 428605434; 735898184; 527140236; 150735969; 27463651; 248358835; 265956286; 401173059; 358692046; 890783059; 62079301; 85430933; 558838803; 933500759; 262119687; 209960465; 576362074; 28884892; 400990375; 605527303; 506234702; 440741445; 427199949; 294196286; 965083136; 624339902; 799773018; 950865324; 200273067; 595633931; 139867547; 189526218; 950831604; 612927636; 805134066; 36992458; 530605755; 294918965; 25064318; 506803859; 572085521; 596491091; 502177337; 700816641; 50214348; 787848803; 319776054; 227291901; 985606288; 356019795; 439759316; 589481964; 816920428; 685130827; 783954805; 970525815; 309608021; 889650618; 978810192; 711538786; 931483058; 173022177; 871931055; 242475325; 447528421; 478880983; 524262079; 710926241; 875977136; 911405559; 58158751; 574842471; 324809743; 92817493; 161090728; 369332447; 845977761; 199679758; 493136090; 708634589; 714393651; 217062252; 833176992; 621598162; 621046605; 733384295; 206692695; 963211640; 421966545; 491034132; 281405120; 675954303; 423340070; 823669074; 999577725; 190205754; 885144685; 702657826; 718740728; 218632632; 557436029; 761747151; 139173298; 190075646; 578331696; 432249636; 530336374; 535106786; 281619342; 865303374; 325608237; 722448638; 391597525; 936188006; 112783927; 943731224; 510068608; 159372713; 807932804; 740410061; 257827071; 981789016; 872837518; 870741042; 496300858; 566803717; 187903123; 979822602; 339376247; 485129919; 496453792; 404790296; 339729649; 155938195; 427523850; 868383967; 53394608; 226463739; 670325014; 570492260; 545667206; 701460116; 249653900; 414346629; 420273969; 777164837; 72486724; 464218366; 170527894; 374615089; 865067246; 14708141; 541604417; 723695202; 967690519; 467073441; 295959183; 257047020; 408403574; 121005292; 11722430; 922021024; 796380815; 464870168; 617679916; 84869296; 207949205; 439526282; 44549390; 523740502; 598009206; 350964640; 690275639; 670946990; 852012342; 876711195; 804094721; 199278656; 335768657; 382247099; 878537743; 407710885; 535705823; 684049386; 817478425; 342050446; 376257211; 767988634; 429418073; 433062377; 658392712; 776493678; 989897640; 38976536; 887788662; 602910609; 546316404; 929057299; 349644634; 438187392; 25384066; 605652217; 723459198; 343327008; 821455527; 227351727; 8918525; 759406388; 530855527; 638658347; 237021560; 325040584; 314975266; 985296565; 41673603; 14321380; 369672356; 230040537; 706377916; 705636376; 518147391; 404654084; 621880137; 758319485; 114660733; 509137063; 234073312; 447644945; 780514950; 458285840; 406591426; 572136119; 192449265; 113018312; 473650396; 535531065; 938969623; 482988444; 584437318; 275936143; 577905434; 146011379; 482837470; 30393113; 95819645; 191990444; 877877479; 640585059; 493431648; 745298944; 15404396; 184800509; 494297753; 696696637; 419198308; 437238658; 438561693; 752099826; 251999983; 285389885; 830903245; 95167023; 435700747; 207892669; 701748574; 896206438; 983993604; 694154385; 768499443; 37897269; 12348313; 379657233; 947894986; 601589732; 722447049; 272506549; 383174892; 184090618; 184295368; 569779223; 270667154; 653819554; 837977810; 575211397; 561068671; 411555227; 172143860; 434118365; 333693987; 862585191; 975542568; 649295278; 397888525; 595144798; 417725402; 858527040; 157870779; 42582991; 976031725; 493536332; 471695089; 299711084; 136828510; 954661529; 223211651; 800325297; 221855684; 207382985; 944610623; 115654998; 786420523; 997419538; 867489176; 435798537; 211456841; 188223981; 666929783; 56681695; 344349997; 596562923; 273765707; 127899232; 229955300; 945318929; 691615993; 106423319; 875489218; 773194455; 341662702; 840063315; 742800414; 932954318; 611845960; 552342349; 619952123; 618209559; 915244647; 804762247; 289720860; 818569523; 164893994; 2580834; 193886937; 868479401; 868173285; 250739786; 827519380; 293036423; 112040144; 657633554; 911125499; 936136325; 341577972; 474648436; 629494607; 152759492; 737073791; 370339489; 17750565; 599611758; 764842883; 674490900; 107009347; 387855165; 632426749; 629733332; 988495776; 154392544; 284545084; 837155673; 5071993; 999320904; 972902891; 895176911; 30413211; 91281021; 278860344; 899264968; 788128652; 490812337; 655063087; 23447359; 551708783; 612226556; 489694490; 170215412; 557481040; 455064796; 787467635; 74689831; 783779371; 823398890; 718355254; 499412471; 58939436; 568604541; 345749887; 859306826; 901839612; 683904626; 99064861; 296533154; 81246277; 30946024; 800299297; 907057536; 631233749; 911020322; 124546008; 158708981; 63919872; 990193306; 898411603; 618563169; 972314541; 308647828; 855569586; 754135141; 324409434; 502215168; 799638483; 272320670; 533387092; 637103364; 719820010; 26950750; 619882604; 685582832; 368149432; 84004494; 116342909; 282619488; 651694783; 217623751; 126475475; 544419428; 161974110; 482123085; 242719944; 844235645; 618652417; 408370382; 459405138; 362485424; 837165414; 316402022; 312166462; 231958943; 699706833; 638217344; 333481695; 973172177; 83983537; 609706486; 743564236; 269603870; 346854147; 225832521; 787705712; 810940361; 368993161; 935055237; 653244182; 333822770; 590681483; 253420700; 609446654; 420820519; 406405512; 440298577; 502777867; 190238133; 619962478; 290710283; 234160674; 114277790; 206454741; 737710056; 966498373; 171901212; 180075735; 573744895; 93495885; 500822191; 933199820; 367110595; 199666747; 590601473; 993191321; 414516594; 508839014; 599255286; 620591837; 341622764; 488082133; 36900762; 991459757; 795721541; 355822293; 792607269; 780806314; 479051126; 101110971; 110671866; 294600188; 516206110; 496505464; 981876814; 789451304; 689002828; 632969598; 775036490; 324212542; 579577818; 319109299; 2182556; 191933146; 464566042; 835512509; 357084213; 450595979; 566038584; 544850951; 688782648; 831982643; 924910302; 179882912; 921527278; 411385633; 222461576; 57741363; 461065886; 836576978; 848497600; 577771024; 272229778; 18654928; 364783560; 182614593; 564602136; 533911524; 647134181; 784684764; 929714595; 800928845; 310949690; 116280549; 428710629; 571668633; 472617526; 902737026; 211522710; 987525482; 133132092; 204215307; 472290569; 229849079; 623982957; 719977208; 168287680; 852021118; 547246675; 704564432; 265035230; 43913232; 287572553; 634658850; 980291631; 640665145; 921233424; 18350031; 891609736; 780746257; 236386289; 867197947; 292843667; 153698354; 743069386; 212625398; 727871928; 283226620; 855113407; 907196575; 535539218; 978664074; 381411235; 38299917; 202306241; 541858260; 570841109; 377977074; 829999593; 367360142; 101971839; 659730412; 268444278; 126416702; 409237206; 149152406; 989393648; 124234454; 840685151; 403620137; 400498870; 671461411; 980295708; 288336605; 946846647; 949546994; 422757248; 537741789; 310772072; 681474738; 886237847; 686128223; 353840926; 522127783; 323307365; 564161355; 570296496; 214558333; 246166173; 618956923; 455946972; 380957574; 908172637; 364783194; 451545120; 624919547; 643843788; 185155356; 249616071; 634008970; 801653342; 830719864; 689246389; 374836366; 869109573; 294407124; 774583375; 616881676; 690628588; 925825189; 255336298; 214632956; 124537026; 941407833; 495846065; 340572641; 44797188; 476135772; 511723199; 88321568; 3744020; 141081836; 701485724; 508087657; 51328599; 527606294; 108303581; 646432688; 529872327; 97032787; 907934562; 302354679; 629203216; 148675346; 875329743; 989974142; 681737909; 506766179; 556826412; 514961945; 140370386; 757110169; 13462753; 945905083; 334658465; 141225362; 885684619; 496240220; 934233947; 361113178; 633100304; 762537491; 845421721; 606118371; 787073043; 406054639; 810964439; 730910575; 188213552; 367359306; 260887750; 99908368; 679312131; 706431763; 408811303; 398079878; 647610614; 392711969; 665955831; 219774562; 272908039; 658300894; 187114536; 932536085; 363904427; 983081900; 172568646; 45792108; 435146202; 489694729; 792127637; 708626560; 883526780; 42428379; 746311474; 804061240; 274496315; 325973483; 583998717; 654896394; 804363845; 22291739; 39337047; 2107467; 161745704; 641590509; 954097243; 547741453; 903339081; 486314280; 224910014; 896363402; 297103232; 439430040; 68726540; 995834002; 954530972; 963514877; 683317288; 166591072; 448396849; 714281120; 581600092; 580876433; 439178817; 968536853; 514276226; 861086561; 779070026; 53001936; 531615061; 365765521; 125067923; 412341575; 381258067; 50537169; 336248079; 508907419; 21088390; 244380403; 292121878; 747557253; 73942123; 954026097; 824330205; 589153358; 277532141; 485252549; 131760269; 870452587; 84157081; 364082777; 756455335; 829233969; 58003694; 536333357; 913119996; 715689059; 385299691; 867388083; 678238898; 483573067; 960167258; 671333578; 36010284; 165009246; 471356051; 105364044; 888007734; 98505330; 227350598; 42386119; 121404061; 772789942; 750448416; 365828676; 865102638; 519189661; 937033850; 452753604; 660656149; 372255082; 225463848; 169026855; 43774834; 483203722; 798030244; 282071687; 868209981; 966653568; 343479275; 579878450; 394530494; 534049474; 247433306; 714483163; 221798915; 356124767; 776163319; 970577966; 326753647; 485359016; 519528439; 20209643; 187778268; 866397837; 211214405; 762936034; 587448681; 992093778; 793844481; 539376166; 268897397; 214126780; 305441250; 75668667; 58482824; 742292470; 282186801; 700937039; 264489154; 582947284; 80838762; 379878069; 83964482; 710032802; 153993613; 196233871; 808295654; 501014310; 731059779; 68757176; 140415635; 51610150; 119351162; 908392649; 354518119; 442080663; 198025159; 122424262; 110166583; 169061447; 707374482; 941210189; 44780290; 195481907; 597025936; 751882447; 957978214; 200787933; 841564008; 421780896; 25740690; 386404245; 547440751; 320078411; 701860506; 822861958; 124304338; 691908401; 499446533; 220096730; 666936427; 599331875; 722291946; 745374295; 864384824; 393635309; 450107019; 453278075; 63926956; 19130856; 465645981; 25961407; 733124794; 375503853; 208646809; 953455471; 563299726; 350587582; 424805634; 655918770; 321702027; 293058634; 989697142; 870127475; 528038787; 115450150; 777535543; 931254527; 760519424; 74027740; 13635784; 58218582; 996527107; 908823656; 452594815; 451768888; 97559108; 864356103; 622052636; 195570832; 140720929; 455761753; 17113427; 452472358; 179478961; 435824012; 950398558; 668325941; 272032021; 615686602; 808311434; 715651067; 174377813; 60365394; 377742351; 875549856; 612312622; 28130378; 138243383; 451453114; 267356858; 503668237; 991653297; 873037039; 625904217; 517169424; 154736882; 900639605; 668719448; 143516245; 108785212; 39631023; 812009542; 836992355; 28298176; 383405029; 912458920; 393770320; 642851902; 395069152; 290303980; 637418112; 527285856; 659024956; 738182137; 458005193; 940577301; 67091450; 885401890; 653803785; 380137078; 881837920; 500492343; 780204642; 659859031; 474303266; 761421389; 349747443; 503157161; 761249009; 944827112; 509423709; 873298442; 821717920; 267319364; 328944004; 689290205; 589044084; 892553425; 911561884; 860840314; 853993219; 396408205; 398079164; 696689918; 585979524; 846013177; 318295354; 516123355; 700100848; 373546495; 462945963; 655030919; 70981359; 259462542; 670236809; 93613390; 456192738; 948903343; 718356070; 196993427; 359528558; 268991923; 300600500; 788994995; 943206968; 545087299; 465284809; 321309617; 99268435; 586865063; 48055334; 150036204; 931696339; 423343261; 484426917; 427412908; 434234198; 272743304; 259899330; 296761060; 373984516; 996342712; 332197557; 386036185; 702394889; 390460731; 779584686; 485768416; 256260492; 811128850; 60849049; 499449998; 172955466; 503926220; 904744626; 365482311; 608782289; 425574202; 963533197; 37485566; 987145743; 847946723; 990918778; 154260906; 47273787; 207378175; 668920406; 148100057; 147185149; 834086274; 478391782; 638921439; 788803371; 76266921; 631700596; 760704667; 181381517; 738067681; 45181563; 455965557; 353704446; 222316617; 857055610; 820088703; 945213191; 506238651; 768167304; 915006478; 288916475; 91416901; 446471532; 516297678; 290094890; 742052261; 350529811; 707277277; 319247473; 72571808; 500799323; 758631940; 863369924; 11266170; 807800476; 339631343; 526222586; 148553315; 556966035; 399652962; 342890555; 449509988; 86445637; 563654756; 576127354; 404725597; 469610944; 608068965; 540545348; 367236443; 714114241; 379592937; 290259177; 619881886; 216835874; 86905138; 332253769; 36659528; 367043756; 87959195; 648469392; 48965734; 231864605; 438873743; 598607244; 537628130; 134020880; 971645059; 674478177; 462502001; 837449651; 815274607; 41865964; 332654136; 290508408; 813908616; 279727898; 581941718; 7823284; 967859940; 918174821; 561745017; 910497992; 433266171; 766898853; 844888701; 83472065; 880065196; 898557867; 113082233; 937090092; 91885958; 565643610; 998501781; 913245937; 421758233; 972634121; 206662083; 464513648; 815910642; 653545774; 666334321; 495593213; 100242510; 469267380; 267352473; 586995995; 744093191; 152263722; 250031731; 11153; 110128285; 190952838; 427862391; 428368479; 633893845; 382940783; 771869067; 484293273; 689744126; 121706499; 942489305; 70080257; 796998161; 377066978; 212420199; 660228575; 952170753; 132840969; 508855167; 936249382; 146662761; 957462551; 7942588; 579987484; 596083794; 579534845; 495065006; 460028333; 939129179; 909457599; 851477029; 992068700; 124001483; 21940703; 91592655; 517048540; 343760285; 688284609; 841928403; 385662358; 242570178; 542523297; 194863701; 780079054; 371874400; 286331196; 462149519; 136886264; 154938333; 836711125; 496734396; 208744931; 709490181; 426484854; 725269618; 665876718; 911892820; 455400199; 707619974; 355850883; 379749823; 481626061; 454864272; 76498440; 692925876; 593123857; 678242983; 386781633; 909695067; 870568688; 330492999; 191771292; 762942868; 932625871; 878593090; 9653263; 466099419; 374103418; 999467176; 504109765; 614069052; 904882529; 566046275; 452574155; 679542237; 487487686; 670969655; 990914847; 728486219; 404331556; 86944462; 944837518; 267923648; 401634565; 736736972; 433931499; 823447648; 108038892; 380154280; 561081242; 971585640; 501152218; 829610234; 491687523; 802620296; 499958895; 480126804; 336765539; 522809545; 996276021; 833178374; 721786968; 294778131; 992325829; 935451973; 153819989; 509689040; 201728679; 443559669; 422432551; 113388213; 724375477; 377149605; 973345778; 605813569; 826504658; 954802549; 819710027; 453858863; 277235560; 154370465; 924770907; 744185799; 541099146; 124914929; 894442597; 305598208; 470569789; 247198711; 413243567; 197849708; 146596556; 179360005; 413481102; 103783442; 681300303; 104153603; 340618522; 79917284; 641330658; 690751491; 938832103; 129331137; 591882417; 850285938; 745428229; 890461572; 705132936; 158164802; 103883536; 505897949; 871971717; 745965781; 412841821; 547559505; 212064718; 802232916; 833196985; 75552472; 916269495; 708257845; 490088334; 770725418; 706166973; 648236087; 603239738; 12194743; 382975162; 899620807; 172251639; 570201933; 348517684; 121204380; 24012630; 741170901; 889989534; 350154860; 545728669; 845256522; 818688449; 658647351; 128728758; 164582188; 288876014; 690828200; 958678752; 698130303; 329564441; 810062630; 736221328; 667114760; 975381913; 699008486; 59729452; 330893226; 129580215; 821558765; 435274725; 602228634; 690674252; 17913203; 184076174; 856928278; 67714707; 423951463; 148706337; 169227737; 469223228; 75702307; 560699038; 982201991; 2724609; 968528661; 398749272; 715386253; 703631548; 698483014; 13794642; 873732846; 587626512; 882803420; 995026339; 353724121; 229256288; 649600541; 37713757; 125884066; 817447936; 860383675; 702204914; 115990556; 877048836; 9469403; 754101141; 483202752; 811339125; 623393545; 698042480; 754379407; 117014550; 338934313; 448269748; 497366479; 291958148; 495552981; 220662864; 898126305; 551889487; 789043568; 592550649; 614888080; 204912579; 18823413; 506581027; 992457717; 532356157; 526192364; 457426084; 952245470; 800143002; 880931867; 485725043; 558207744; 853969417; 553850779; 565962734; 390378126; 794408768; 206194146; 409862992; 161288802; 154263751; 893075618; 882089811; 115993229; 473554195; 192267861; 452434112; 684499669; 191363005; 774686205; 864800042; 451946743; 414905812; 168294710; 209141588; 201346786; 134415318; 865296860; 296296975; 579886144; 338808739; 173038872; 761503897; 317220000; 793753109; 254538440; 491778754; 326426628; 361531183; 406042356; 152456492; 162966165; 743773483; 621828533; 582558237; 248406323; 870627766; 244095092; 200430156; 315958736; 49434710; 148675974; 412757324; 242772589; 650344744; 383622962; 45783127; 283238947; 743069908; 780339278; 683000764; 830043676; 146065876; 313995874; 870355060; 231760361; 242154300; 499165134; 166456310; 159468393; 589279058; 739791188; 791834272; 447669581; 386960086; 716926584; 541821101; 402397730; 818959761; 962295099; 336957677; 727946112; 811445997; 539506049; 751798355; 666598596; 13728323; 132203814; 267934301; 828927374; 820002843; 132924014; 279110496; 645674142; 477331249; 838335709; 397603766; 745127974; 575448696; 953120399; 977828993; 409468637; 45967043; 345612390; 335216186; 888819848; 781434339; 343297806; 237092541; 453053428; 761359435; 668514283; 922656840; 516723031; 455413707; 787884465; 273527773; 767104882; 961981153; 959445639; 869464333; 71712473; 693619437; 693736726; 381270513; 716849996; 340587831; 62250695; 448863840; 120455186; 268275347; 837349633; 933168505; 146113520; 414302408; 524609585; 432115386; 766891389; 306608621; 827672473; 522842106; 183309760; 462721105; 446976280; 365869505; 648679337; 279653976; 326122224; 704060859; 839739783; 542729854; 622583293; 68163845; 393085175; 389591174; 635494202; 982547984; 378419039; 379196511; 308259705; 149627196; 844175542; 239685054; 823469706; 507695572; 377613488; 747201789; 766521594; 717463642; 824783807; 928956986; 789898655; 510104437; 288086429; 791700040; 510015724; 183788841; 77904465; 542664714; 690293333; 558158061; 872550315; 6383112; 984059246; 102613720; 649460857; 985643582; 988058928; 639269139; 240527813; 873596162; 14270732; 672926056; 582703801; 93842119; 966552892; 113754297; 407310234; 368501132; 363680523; 253798913; 461683712; 516887665; 197066964; 340998035; 218315513; 351306041; 982987128; 673859963; 517798841; 8669033; 191152548; 348996550; 763779851; 152255958; 4059484; 180639182; 335283738; 881632018; 721652402; 738904745; 13080287; 716907019; 895492110; 6315309; 230797123; 539132227; 398552015; 397390876; 259479816; 987039094; 79738884; 534117418; 878709631; 315114374; 284640757; 957702221; 253050611; 654167521; 933897808; 394581108; 713511225; 386021492; 602326888; 702904311; 916420950; 255751304; 582741680; 299840342; 214757414; 573646520; 276399639; 286362337; 591761009; 750609878; 462112925; 50133047; 681606777; 631615622; 784430185; 115538036; 779344669; 780110126; 375145594; 871447420; 30539700; 229960667; 976164059; 764909721; 204037110; 783957693; 909156512; 940104262; 291227645; 27925299; 686368903; 666266490; 409136480; 916337948; 537682872; 959297147; 209197097; 781570802; 475116991; 284175255; 593264705; 8417522; 664730397; 734919686; 138413602; 12270399; 432604276; 327366498; 925806274; 528776701; 811367490; 605385445; 541403778; 319964492; 40942881; 200431238; 995594810; 787999619; 177417974; 677265453; 263678381; 925897164; 940983468; 500106795; 708727897; 450484839; 722296080; 604805362; 327430574; 924750223; 718461006; 311986426; 613552907; 691304181; 399968475; 676136362; 266762616; 827223343; 524488777; 682635285; 364520553; 247494821; 838355705; 896383079; 27913746; 187333965; 379791099; 120945202; 996021486; 544054792; 181600708; 546110868; 744957167; 466234898; 641348425; 650317351; 848651459; 239000600; 498381679; 812190994; 517614815; 312411447; 432484553; 473295921; 207660605; 48196060; 59833697; 27908828; 418362272; 921138195; 127376516; 633701808; 716429344; 585234350; 79992884; 442187376; 5421384; 434588534; 395598229; 669190019; 515396478; 684602891; 781754032; 237046300; 869589607; 960628063; 120424909; 43318443; 923841513; 319283592; 771878669; 534588938; 428047607; 741484767; 910437705; 158127516; 788877572; 276410035; 270943577; 605342770; 650479751; 109471922; 679107142; 195290301; 130821246; 881872837; 613240767; 152136492; 514802202; 137339972; 906709429; 76410957; 168526; 455516635; 794269163; 83455763; 586268303; 414485773; 432402998; 827757391; 449307787; 217708317; 337675430; 138345105; 349920423; 406747539; 897789203; 226029221; 827999752; 864775550; 833366000; 557295192; 292392602; 57608010; 153522353; 326192159; 241951800; 664557479; 490090455; 603805343; 348562387; 495188263; 496261283; 128090598; 645058163; 123909450; 73296963; 534191465; 177643359; 220194860; 845176293; 790983288; 366121649; 17335067; 822590193; 951031239; 417683735; 177355684; 907833852; 422045125; 120230845; 231559907; 122980594; 57938289; 922726254; 776174059; 189253086; 320408371; 261033072; 99687162; 419838243; 102626573; 200054346; 631028129; 853887839; 679009060; 321206799; 708734300; 144190542; 893689633; 379544685; 363109245; 241378081; 740039738; 929856872; 229686536; 477581422; 654864346; 474785436; 827660952; 509068545; 295269690; 951551447; 981446914; 686105461; 237163676; 159997381; 677637676; 135323603; 68766022; 558306891; 433961828; 370991013; 31528625; 935407620; 804911255; 287217179; 338448439; 892614852; 307364310; 503458154; 61011331; 762592491; 59552215; 850395787; 153253118; 575270796; 238486897; 367722612; 522266138; 507425964; 959480114; 641439382; 394783687; 978019914; 644867269; 801579639; 700723750; 103042244; 101361338; 517678263; 521813144; 696084485; 941933556; 833765011; 972408556; 99806880; 859897950; 738532286; 707586008; 197242096; 427096653; 483402828; 136053581; 581817418; 121920079; 147850304; 696818543; 636499283; 806228352; 950733810; 606412478; 190478187; 822898970; 56843381; 623558662; 791466368; 244932110; 787875732; 394279032; 472949015; 90558355; 164288909; 337534714; 329526757; 725253998; 794318226; 418093424; 583249440; 415211424; 923294013; 217994771; 799611946; 935801687; 549927280; 817019084; 664125294; 556125462; 488260530; 723045782; 417978419; 62933416; 517725233; 136071639; 50912642; 899813488; 277643437; 612758308; 391976800; 659105010; 285123462; 548391552; 700030825; 976094673; 966384944; 464656716; 151871762; 37094761; 460813530; 944537335; 451876658; 518396734; 224719037; 426411557; 123915442; 327621681; 707113519; 771031288; 27393800; 470524680; 668778083; 655461203; 470715801; 992193644; 186644974; 172132452; 722924438; 70043286; 66706750; 584739813; 54104091; 130173859; 343109397; 490846227; 57908964; 856084525; 970226844; 824359108; 973342568; 667645118; 958010249; 116383757; 651061606; 220200311; 633337876; 961418; 560455304; 657121774; 12402945; 414233562; 127079761; 46320586; 262533732; 560561658; 850839618; 855835448; 770202735; 102952171; 838629375; 336687854; 625459139; 339985846; 920569099; 994043313; 586281226; 57162969; 299775573; 54247414; 456217868; 480512009; 589427878; 806494631; 782986063; 660883619; 502320205; 600054744; 793107197; 984095367; 463038851; 32293738; 523459407; 624767950; 968086608; 391029024; 723503053; 266992763; 99754029; 765620390; 822909347; 906950845; 23155549; 65952427; 752338006; 61680591; 232941952; 726349655; 668231440; 991595750; 63437411; 186906923; 315033927; 153969652; 924332694; 524420734; 130738105; 994094876; 955262908; 517782667; 657122441; 320270478; 43972352; 561886671; 961403513; 977007523; 60467640; 192725497; 583129215; 644342838; 478151254; 791424648; 119325452; 977408696; 118389541; 999656200; 281636910; 593792526; 143204401; 740047217; 824089947; 71162730; 650457494; 537042431; 844476142; 215382336; 880617131; 767475365; 126250075; 472306731; 833009941; 641085774; 848704434; 150823637; 741370626; 898810209; 861865700; 841307006; 96037424; 707065650; 959914958; 896947050; 698051761; 469970600; 833108645; 928744615; 655812340; 870469224; 440310085; 952587150; 635739163; 595730288; 915478160; 995232569; 467652172; 240065826; 403623050; 569570644; 983117052; 247258879; 133812056; 864436656; 92179324; 523989778; 930090368; 482716219; 96329075; 813486660; 929333005; 899794518; 674353801; 840219954; 296281529; 93548949; 481928535; 432344974; 631239345; 349695977; 88341800; 946453682; 283357481; 875403518; 974809; 220527751; 863538609; 597890034; 180430265; 304999933; 221475387; 482506992; 886016216; 779230574; 235643811; 403841679; 289843779; 104441648; 101851623; 680746230; 538516641; 757939756; 160088695; 749508069; 16234207; 84731774; 486874225; 765487846; 639447578; 350752124; 769204284; 1635383; 421632659; 332350377; 871007879; 638932112; 583415356; 535811703; 272338948; 387586045; 78693690; 896228194; 615041111; 42097876; 113282137; 928930365; 176766198; 727796964; 888786724; 686105862; 301973878; 558387818; 904722274; 471032791; 307164329; 479964126; 844449107; 680186138; 581660667; 383758639; 635983302; 723355267; 665619393; 756625722; 58256211; 495856611; 301792020; 83944703; 134132850; 849718118; 130989568; 919291980; 291314354; 399537582; 872942299; 241522552; 765266679; 778489625; 966232604; 287628208; 86353495; 918399362; 522682184; 95416834; 60338491; 114633698; 608635945; 267034084; 905728425; 446255917; 161553393; 63173537; 575852475; 375830173; 480053566; 517095035; 90020855; 851046837; 242648259; 202684195; 134979206; 875598803; 976262908; 988428992; 560348129; 140396895; 455692505; 982567711; 518244456; 474334049; 468232097; 269187945; 566864531; 8468062; 6394145; 302310214; 211448131; 305781591; 413712005; 629241207; 261119487; 28829089; 875010301; 524803161; 580372691; 61729141; 53067615; 99868768; 293579407; 31791401; 111601246; 231086808; 305783987; 371765661; 979851030; 545598163; 644239565; 316617805; 602974321; 347442496; 620084798; 838277488; 62743509; 494386334; 383632740; 346519392; 958287202; 777907391; 949247961; 852872826; 491286878; 162920404; 454836992; 433827208; 814560440; 265394326; 248091504; 618689854; 129230132; 630475393; 494039950; 135346561; 89805417; 312386334; 254848179; 14894512; 187354450; 415232632; 56006560; 667179989; 292354244; 932418115; 374758742; 13903924; 502944877; 689426814; 290641778; 934770985; 209275366; 783552260; 189987715; 39699815; 970645055; 186728623; 724422085; 272029356; 197889677; 145596160; 593513376; 312474846; 846133741; 212751315; 143244158; 549941342; 916187119; 286142242; 132436109; 185368535; 307164701; 278333973; 69360398; 494923316; 192121575; 887425829; 455434029; 551520524; 931520372; 762722942; 434641474; 691846587; 335971299; 450630936; 512224930; 555062209; 908536874; 210795477; 390418938; 272362069; 203196360; 934600649; 208709892; 722616825; 766509753; 854484229; 862059956; 343223474; 578070511; 412802121; 363894881; 496238877; 189979161; 482530793; 785479632; 653471959; 584014693; 348027879; 420804891; 438770726; 426721399; 804527894; 486018254; 503479598; 922238314; 459288472; 92164625; 970985633; 466454289; 706541225; 160351289; 386516460; 322710343; 882414767; 615734146; 347530363; 62401614; 247216475; 904904478; 778705661; 120854555; 805410184; 283716702; 279494851; 793029133; 704379125; 231875891; 513582210; 988818109; 42646964; 669347423; 373190213; 115819910; 908996499; 196907340; 560872563; 445290542; 863797763; 493253029; 710466474; 515545883; 116922579; 718927082; 520032416; 583124878; 296780927; 822474335; 868094655; 832711306; 967382570; 56225180; 241641552; 771529859; 343601223; 649591839; 657724456; 752558413; 960194731; 212162006; 11086433; 710942674; 176330583; 604161164; 517467236; 62572089; 610692971; 831377003; 795980680; 295194098; 997081520; 956187001; 592831106; 517234630; 967804351; 779010379; 193925979; 258877875; 294712622; 527665398; 12337131; 629935377; 652390343; 928015733; 952506395; 828955756; 632470525; 657001679; 602116906; 929040718; 115087064; 773951283; 627631871; 746806640; 766837604; 629271262; 366790883; 653147133; 619147864; 349836074; 313187484; 795240016; 415470051; 341998331; 451813058; 941317089; 885505646; 945321125; 213961808; 173801211; 195352422; 683660615; 452050038; 506354949; 159727440; 656314872; 858683287; 964314792; 186543674; 321939266; 121423394; 849635657; 292058919; 840426749; 123461351; 785089074; 422576416; 164673309; 944913582; 225891260; 505862777; 762941234; 170305254; 951873847; 605734274; 236380618; 652899999; 108525465; 294674327; 460607415; 424280218; 641481544; 372968680; 386071694; 253610464; 798148429; 458992587; 983107562; 750234791; 177044547; 497889029; 201473749; 373727519; 836907914; 669989253; 970200815; 333931870; 548634797; 938528597; 898368170; 818405061; 965877369; 201937459; 792467262; 90105878; 546130687; 147082783; 71689351; 815280445; 947810089; 365944688; 517754089; 540487058; 996429565; 336328265; 4279367; 20595454; 228614822; 11620632; 442479024; 615654743; 85520668; 315089519; 145721074; 756758265; 528140140; 561800605; 187227799; 130124682; 386523545; 580889990; 197033853; 340575298; 549056164; 472634157; 31994297; 83609050; 283677772; 337527211; 937817717; 408434558; 539558439; 534484642; 89697242; 294447626; 549830236; 229738105; 277944556; 322388042; 609233315; 521265361; 409517731; 686593130; 269472125; 786533699; 406240116; 421720679; 337370486; 718564906; 506732004; 509814802; 77528981; 756112632; 901799108; 251370348; 613011132; 1533290; 823264720; 669546072; 561410631; 964928273; 114866610; 148673966; 517324244; 614013057; 146127022; 72150145; 937341683; 842778993; 595629884; 271926740; 745351571; 300916282; 197021984; 811352317; 267223755; 906263755; 673879445; 865907213; 57163750; 136547781; 772596413; 689814585; 611085397; 812727833; 143383814; 627611636; 265414200; 995940866; 301640900; 758651528; 84553643; 141798616; 70173673; 638935456; 802136889; 766272567; 786133214; 234506545; 472478113; 769904445; 824702635; 156844601; 947112784; 734020070; 518863403; 528967991; 877680080; 989802319; 993129370; 786128257; 371406094; 780948479; 935798652; 587519252; 805974960; 318683708; 998795986; 321716761; 980147317; 481406499; 485300820; 113113437; 350285413; 433824563; 714861899; 917671271; 770604630; 533350123; 530740401; 704612081; 225103590; 385156353; 787399617; 671906301; 959402965; 94630415; 940887712; 585572459; 966393811; 938429485; 227371661; 162794696; 4581021; 779493031; 356226531; 15097445; 866645350; 423845767; 934731703; 523589449; 533251972; 54110914; 519521425; 594388205; 407574971; 824597520; 833403702; 941686285; 35416773; 489744233; 975022251; 689653537; 865740552; 59505371; 684536497; 477178860; 389756938; 364371469; 552895415; 554468484; 48867960; 564649059; 623183027; 397565875; 434381657; 414455405; 982300248; 295347423; 248418845; 441682369; 506835718; 32245833; 151127073; 497295698; 355276352; 750000575; 518551835; 98401413; 699250636; 238580342; 539405631; 29722630; 739250072; 965273315; 52631324; 265087949; 279378543; 773796911; 431293528; 820929858; 792383838; 846307513; 320232613; 796824005; 592720426; 870345448; 173270341; 653604667; 856631119; 954155169; 394251484; 640731451; 319729587; 675327626; 350493252; 771829860; 250958719; 478420121; 832272668; 146852764; 407671414; 938797049; 848955390; 300763014; 219461449; 413524086; 670532453; 296964827; 246474964; 131004637; 103230508; 331193715; 293815069; 625062994; 917346169; 909380673; 795745425; 696233426; 929103970; 571950526; 477754895; 237732697; 716052788; 261858590; 966719082; 535605819; 251511137; 386763080; 545399661; 334299544; 964664337; 776539428; 724107575; 319427252; 890103224; 836158258; 399551825; 531194488; 385715230; 690991597; 45749978; 213703189; 245857709; 771876344; 653956789; 254732547; 40550219; 803947578; 700107366; 402698682; 589459652; 467447589; 944607682; 600366200; 97073290; 47486680; 162736740; 496123349; 920855891; 609380675; 242754473; 660098331; 936168145; 741905131; 464699305; 451918993; 301928103; 907709350; 706504467; 309452398; 778988634; 51715737; 468182841; 301044830; 31824152; 312750862; 604225343; 679052600; 955080684; 367499327; 846007753; 375619467; 488739129; 58421502; 285771206; 996505682; 137513535; 267638560; 968136878; 26364637; 124729440; 125937566; 766809417; 616466980; 328900534; 105787014; 994359061; 835088122; 379934816; 432497060; 878856740; 74765893; 676835310; 723331281; 763820720; 352485237; 679778463; 953035903; 738011990; 803672233; 802791451; 7873139; 397490105; 473996106; 954187249; 742532623; 466169122; 93896396; 515394048; 555052180; 441472894; 859853017; 496759089; 980038069; 863111282; 542119355; 472162202; 949630998; 398762776; 721824106; 26225345; 449331071; 307973019; 210881958; 365057165; 751119693; 640205675; 434517355; 868194771; 344701251; 23582239; 336077529; 802116200; 630453960; 465543579; 523547605; 374683212; 93548028; 402180941; 548348840; 328334544; 371017161; 441266105; 946866763; 301379717; 591360727; 997157221; 81135280; 208686697; 22027904; 229455372; 648432372; 319241519; 397663434; 422294579; 705406077; 148275159; 14063770; 885389552; 76025027; 821680411; 554833071; 333667669; 402340413; 891925756; 956110637; 87855126; 769187164; 154190905; 366584511; 358937279; 951862484; 339907767; 744302742; 764535540; 588035567; 498800364; 432503675; 368383501; 410642495; 896006486; 535353050; 376464779; 675896530; 829027191; 580153959; 708101564; 833128796; 926761723; 28891550; 38528110; 193552648; 411526491; 734326396; 356515541; 452563365; 541250929; 442751075; 440729291; 877380376; 577510107; 227830596; 224778402; 688608141; 937320049; 771790704; 475240267; 882638527; 425381656; 425511673; 639007844; 701175769; 98489894; 27351416; 100318291; 751847812; 498793170; 99389115; 329514932; 427400955; 724025882; 900570595; 368041047; 566169721; 506474699; 520886218; 554125202; 690439391; 991720736; 24511970; 557191887; 954243481; 382668703; 793266891; 189667065; 927023165; 797962990; 140814859; 538141711; 608305892; 300394857; 543380135; 14295727; 589990516; 759878628; 945880572; 973620552; 211589347; 675264266; 947023027; 661319328; 912695114; 261249434; 784993590; 63633715; 880259108; 974871507; 258966483; 579340999; 339445094; 562934265; 451902518; 946272880; 804870390; 480835170; 823176182; 178600516; 688435756; 406737385; 834104337; 591848310; 798710456; 928828496; 482194444; 244196633; 995473136; 37193003; 676190687; 942119741; 249435829; 238532004; 289783302; 786549283; 2257120; 678699105; 536576769; 763277983; 934679703; 695509039; 240740964; 240720672; 580797714; 203278761; 345566206; 660013302; 56809904; 198161129; 213386370; 789119928; 311808015; 595717406; 579297337; 60016309; 976591037; 60158170; 902064; 15880382; 761109210; 348036779; 14109877; 694243125; 588197985; 313657861; 648467753; 897503769; 700954394; 940277821; 257078044; 55415190; 733999783; 166464797; 78246114; 171898583; 454135721; 191108574; 34083353; 875641231; 168470204; 870091976; 684288028; 9456707; 153275183; 522721516; 746176481; 887924270; 330573404; 841768245; 834558642; 905950682; 840129182; 745968643; 580177587; 523910513; 19419138; 570501719; 619651713; 16092292; 258889740; 796361241; 760019579; 670197562; 630897333; 417951006; 283272279; 813793785; 614221162; 911976659; 593590255; 232594796; 478499296; 650916385; 658587792; 974173756; 147906101; 212154556; 222264042; 533175098; 920832941; 822451121; 414902705; 696318086; 952581337; 901909113; 92567403; 362099716; 667143867; 328610514; 961147863; 840029465; 461828563; 224186253; 740780341; 749106052; 92644846; 15302730; 499026158; 343549314; 221206098; 932999437; 862480670; 471381897; 678230840; 603163946; 514467929; 713321464; 334024143; 929411493; 167983393; 783190198; 675248849; 512505442; 890315863; 475051367; 421144895; 312515764; 754602120; 378953077; 133283645; 937612192; 688365286; 55865648; 980925067; 874564958; 357791832; 480976495; 96218846; 446561309; 316481415; 853054770; 142216783; 301792445; 375207329; 184060219; 209032368; 243627062; 648628051; 687237896; 855139904; 146218942; 908126067; 622840978; 751707552; 68304508; 146560599; 80732484; 10194546; 908679904; 862533742; 966743373; 763683391; 129584920; 516088378; 510798804; 843395876; 877863332; 517849916; 222690449; 795604780; 575300245; 388131776; 589296587; 23894419; 964333388; 390795194; 890635183; 794853936; 131597636; 415257016; 14544034; 914242708; 139347370; 382340784; 590659318; 55297208; 885091097; 671886962; 36274694; 559884782; 744683000; 134659564; 30193291; 518284604; 750070866; 640649656; 682208107; 374123324; 471980309; 13053336; 377917517; 521793540; 228116600; 255438699; 579747832; 904461881; 979731338; 739209518; 645943167; 758229396; 172425010; 520144309; 101274084; 507336306; 810645837; 225921400; 237451256; 908617177; 564292997; 228626146; 826344301; 378850609; 449772558; 508028847; 166300590; 728892653; 757570705; 921705664; 107127238; 470368893; 218418837; 326148972; 508085037; 973819971; 327615747; 792895490; 737968165; 976853859; 68854484; 663473516; 439635334; 489163943; 269554601; 435590125; 954381465; 448635301; 530394500; 887390453; 128281846; 51786737; 942594199; 717948617; 121694064; 494373398; 969644116; 769135689; 917975986; 9518210; 64294325; 319024771; 86939313; 555389311; 152514134; 819841364; 116629348; 302831024; 606267080; 466881798; 302374009; 430606363; 915796563; 823236243; 280980174; 175499763; 465352408; 314946626; 172469926; 111262165; 443256385; 877535834; 888468636; 44480204; 808523249; 933005397; 509181982; 771240328; 124324572; 691039257; 14376615; 967744272; 414683557; 526568589; 119615836; 898471937; 821896923; 817768783; 500940006; 667351995; 746417953; 205342063; 73791091; 301907128; 157832280; 771127844; 823464668; 7050280; 440141230; 447196165; 191804541; 452026885; 87347166; 276831040; 60045288; 734465819; 164560833; 199230799; 349216876; 428543293; 772522955; 347184953; 62340406; 54577140; 272726833; 794454806; 985751704; 341174474; 621985059; 692859155; 469189763; 321043343; 329478061; 343608954; 592782592; 879104522; 63173355; 413290636; 56255892; 929609503; 879749990; 702807091; 927760758; 746586888; 539058098; 127047623; 239033011; 555807535; 283062377; 272971449; 251977715; 80040060; 174738522; 983248882; 165602321; 67218160; 224964621; 894042159; 410101927; 520955589; 806873074; 308033648; 835263458; 11964240; 336858967; 198715807; 372278844; 843790923; 402207080; 241351895; 748877352; 702886910; 606916897; 769495286; 889412313; 172815805; 762669762; 296465696; 219756279; 323192882; 645319337; 590478084; 606671802; 251977841; 460687979; 434785849; 954050586; 841685742; 20399223; 683568183; 596291616; 222321052; 329184104; 520255361; 405636904; 680569303; 966936172; 2048902; 51321264; 408628815; 894248043; 436922851; 319754195; 727113161; 476616401; 857769200; 406587878; 924680356; 752826071; 230077605; 677605001; 264662666; 607106695; 586631397; 986808348; 469370556; 70085022; 426516234; 251182268; 414082164; 244381621; 330413331; 929098136; 80892264; 878086419; 492077920; 211750697; 295452807; 882560159; 873420655; 611155739; 37938835; 920898531; 867955246; 335742551; 169973162; 733695946; 899652780; 65354334; 513302150; 304859099; 944194106; 126428089; 533595542; 572286561; 572817065; 924129706; 512976948; 127706863; 655094408; 271484831; 59690887; 625625794; 719702453; 601881560; 26280177; 12826551; 434333704; 149322577; 946892; 228689746; 980028706; 612494720; 303269874; 805912980; 548784306; 248100075; 424988228; 434538075; 519525678; 163030788; 411733318; 149518659; 634610110; 963465495; 678635478; 299284051; 608728547; 57203784; 965957016; 348207775; 150465499; 622587473; 626159819; 727250521; 159473586; 310533752; 67604276; 6992121; 960546640; 497030182; 426800915; 362409769; 198309179; 950727197; 695291089; 858723360; 872424174; 694334802; 998242489; 153829638; 261957956; 454542500; 316850589; 133337107; 514296367; 566734301; 310276074; 732946036; 109393293; 504517443; 915565144; 729463989; 362313073; 791790612; 756466459; 516395724; 548841960; 484787855; 994349084; 273038906; 994344029; 463272649; 152190637; 324301955; 557013589; 537671846; 888951343; 569588101; 822295623; 376548403; 459744175; 585521210; 954883760; 415081894; 826748512; 275511322; 490179019; 713930620; 746237; 125480658; 355914301; 627386086; 359614204; 187679463; 458727138; 509337130; 720419508; 58203052; 598479400; 241316185; 720647261; 382379848; 134706195; 976724859; 494054017; 165646682; 567960211; 517333590; 395550406; 701129212; 138553764; 683192621; 856132938; 353182813; 57828966; 181110510; 465980733; 533815878; 264810815; 331412050; 695365486; 947107563; 326771338; 596304680; 22158227; 6670759; 990264379; 967329095; 936842637; 955347795; 662122280; 12693830; 604017445; 270313430; 91974997; 247320526; 617666345; 720259304; 58451946; 29744343; 192137035; 738404027; 511916560; 528845611; 454311591; 83679200; 366570854; 348963616; 870996352; 868643132; 705136876; 528773588; 944317986; 941716288; 170235720; 526696882; 132634591; 972883494; 545874471; 897858649; 831653916; 63034044; 865383685; 542396385; 962428933; 568126518; 856890714; 797913437; 327657627; 364411612; 755505612; 50236349; 40016991; 69792312; 738409476; 550599219; 105554865; 670576834; 77455355; 539797974; 990877549; 699145389; 31870300; 206738055; 253079346; 749151778; 922455218; 620775454; 130485804; 211003054; 893890126; 317507371; 518662031; 92822295; 663843101; 331004880; 646317636; 781547271; 757749220; 997994399; 824097332; 835179408; 13738075; 821404475; 59953151; 928145401; 646760556; 310421871; 43800793; 836234925; 531517423; 198561868; 73958816; 814908803; 741333490; 643904472; 342283273; 98136919; 911393175; 621890864; 511103918; 642836605; 748456357; 674186792; 686286317; 754140421; 383712724; 452194725; 938128470; 765609892; 9607337; 991986013; 259317782; 567677073; 328711132; 945159156; 115963880; 910713214; 342533198; 312727257; 460310499; 319021190; 195211438; 838290641; 995675913; 478638520; 678344285; 819357656; 415631089; 177935645; 715668543; 366522241; 358259913; 488403757; 284976732; 551858262; 343882609; 277524925; 513650818; 670606644; 174359279; 15423420; 209074737; 350967879; 172323808; 915013738; 975761405; 641999276; 344094963; 717243355; 397347308; 495044478; 352282483; 632105594; 81811089; 417307237; 265640170; 468402651; 778665612; 723922796; 786983335; 176544514; 621681549; 242168688; 793254374; 360102198; 414752517; 705913477; 901100375; 56003452; 37112402; 938276104; 515527046; 253702484; 859350576; 841699507; 679132054; 26112171; 897358843; 264580886; 253271422; 514363696; 389670369; 918288823; 58352290; 98953823; 203088076; 194384723; 716158423; 587504682; 320442818; 235576884; 315589357; 462633427; 432690509; 389525182; 910073710; 181551227; 961197495; 327375353; 945812093; 376634970; 865788441; 414864486; 963789136; 477369402; 184599622; 818835974; 467106331; 548651336; 765745264; 802851563; 792792510; 145956838; 684802090; 175885440; 48280565; 946953465; 177462135; 473299857; 669950820; 671489323; 54690604; 639154441; 619592864; 418238618; 716348553; 537845770; 424111546; 208853211; 825341873; 981584837; 884568145; 939064630; 312359819; 628189716; 980047108; 14986749; 570387115; 126856329; 667479246; 334356844; 999055161; 631580953; 526174432; 783242006; 979554426; 639895372; 296437341; 350160235; 50513678; 238876291; 931829502; 841688776; 405893732; 534237697; 396166044; 296984326; 952220262; 831646295; 414542155; 950434743; 530911894; 167290509; 233185898; 587677945; 73480356; 188731292; 737356128; 672516091; 964334774; 330003006; 66652634; 409632877; 637355033; 711157134; 216188909; 120949580; 99364819; 796376480; 127525604; 835306969; 782466538; 106381940; 767348642; 791100091; 140117976; 900004355; 928311389; 37896739; 824471064; 698658816; 75199025; 453832080; 964065320; 479441732; 48498386; 359537374; 556282640; 982926515; 152213167; 448569151; 34690048; 198255908; 606846508; 678582925; 720471076; 299754597; 920486028; 598023207; 906262473; 995533234; 510307266; 46475440; 28130763; 771228584; 826416278; 178212109; 928844055; 412294773; 546296101; 903272750; 463828510; 638793132; 271705431; 856304699; 102943141; 771301637; 886650807; 206898336; 282971329; 628560570; 216670945; 295555075; 751025620; 281973141; 625925863; 993680445; 763652032; 173031885; 581132074; 940958641; 365025678; 441970972; 66324262; 637762286; 398055552; 874160490; 216625476; 256441388; 849959895; 833494030; 217331780; 134901704; 907796108; 451872200; 589770021; 613447149; 900565375; 194883287; 341561845; 741538323; 202668516; 463251182; 545063407; 222918866; 317646046; 301717703; 576375614; 125144275; 204673009; 138500570; 465298058; 640779906; 637634004; 838794711; 615233021; 808921497; 72483026; 594072831; 513053724; 290130930; 670700014; 23522210; 984085690; 926940319; 227192753; 228353138; 56337011; 56130582; 767521208; 782717244; 300421657; 261685452; 115917502; 358950163; 172960688; 454893754; 429822436; 922614676; 326638566; 465280430; 587768084; 434296543; 779676699; 837356517; 637452633; 364462788; 838852413; 274874084; 670467839; 188786469; 602910269; 613534599; 539242350; 922434937; 825000668; 735778057; 480522814; 335710264; 577148841; 831093955; 647043905; 904410894; 404529907; 796907053; 424169401; 665087527; 401970565; 343938374; 378979166; 54674949; 390321442; 724951541; 756953391; 396398586; 701157989; 985834462; 906946132; 964401681; 894842130; 339321777; 919606116; 522192152; 972991656; 422386471; 200312331; 150905159; 766012621; 871065101; 72971619; 965969456; 829709813; 275019204; 289360907; 25430325; 41777150; 917816034; 916161228; 919043088; 559518624; 328444646; 302563185; 641628438; 186445076; 413663177; 959285055; 702307844; 27188490; 84628711; 275388490; 208612511; 880542666; 524337071; 803227066; 302186441; 3660638; 811639965; 686853810; 700296120; 22280092; 151041591; 258502789; 594767031; 399443376; 505987089; 792721615; 843728448; 426242825; 655605834; 827903434; 44340485; 196726400; 714808826; 990125736; 99866432; 264061257; 280881241; 227188682; 248562956; 984384437; 446242873; 687769035; 137956344; 454343231; 6120987; 96212152; 489823679; 520390155; 18258860; 386162393; 891731336; 601317206; 217664175; 584771173; 865039260; 523128650; 890384891; 626603006; 713050153; 19251700; 64360651; 739027732; 877106206; 433990206; 493855428; 281468583; 238090089; 260463297; 971410501; 948963573; 408414405; 777147169; 46181592; 680900763; 979645559; 405368904; 886874668; 711988553; 95086840; 376466356; 193693888; 307365775; 584122559; 300118876; 732987512; 726285547; 804008572; 166229281; 27902531; 576033161; 866725504; 817978616; 672959185; 434730844; 455524665; 404253779; 246680481; 997693045; 37745303; 7148668; 602019710; 13323541; 6024350; 528429358; 85528071; 945453745; 451614657; 750475690; 382128810; 403490826; 980002248; 570744830; 852022493; 894158274; 357669867; 836833724; 986707506; 578606177; 138309459; 66782715; 311024283; 750267030; 504603850; 696647334; 27249722; 30335445; 41206962; 349552485; 219904247; 290080942; 94646194; 219724512; 616850423; 177267021; 296273208; 511393870; 649674544; 254920253; 266848564; 844074547; 512575590; 574145542; 872113266; 781685688; 377778098; 653053238; 478809208; 707304328; 283760308; 548728323; 968079197; 725214811; 949963310; 846026363; 643764104; 769701128; 356507109; 306091373; 869376349; 320712985; 96587637; 728684354; 114907248; 947621925; 14697176; 531487270; 973996084; 379343269; 828055784; 891246854; 811505585; 437538516; 726970776; 697685081; 209332693; 992343337; 272979526; 278765567; 532593636; 764355234; 366879499; 312231328; 131716007; 144267521; 202859153; 909717019; 353834977; 258308116; 241303056; 819662767; 752210436; 459054320; 892455249; 70024528; 250148725; 211895525; 640459125; 683605310; 579068604; 335894915; 173563906; 843683895; 771944464; 69336949; 204862446; 496074095; 900619526; 728801523; 649083124; 467788876; 902571532; 671856759; 22746435; 2910804; 312938647; 38087464; 442067973; 14627452; 184726907; 165030835; 788722590; 43855710; 438098924; 900797666; 865558259; 205197759; 464827865; 492615690; 242201014; 754820224; 152786404; 549865641; 272628090; 210344732; 778357193; 768904557; 142995041; 151868529; 532237874; 694952147; 420647955; 8252014; 572650083; 534962823; 374099287; 165444; 580762256; 487817228; 247947122; 362709000; 666966489; 362249916; 184354943; 479511704; 414232409; 244062394; 62887607; 510068523; 944076660; 515690931; 744997334; 110677166; 154202259; 158476924; 122841637; 901295026; 191118209; 394703231; 88021555; 472651142; 853824098; 175298765; 698935575; 896032410; 998820146; 173306968; 437165094; 129810951; 675549624; 140232996; 244832309; 742859321; 578335643; 263535593; 305415401; 624142032; 795974687; 626985383; 369535331; 744188253; 810336102; 121464410; 493962958; 226919066; 661005490; 530149081; 693172790; 396491549; 275755026; 575898842; 621279928; 731197091; 658680863; 139297313; 754115331; 450591742; 835619443; 848990996; 521540353; 388823597; 918844422; 630332597; 460064941; 339854293; 395446216; 675209013; 41590497; 109357749; 421322340; 614860159; 972203967; 836552165; 871975543; 609456402; 244564896; 295538500; 117587950; 790275322; 513361267; 921859192; 152454863; 311452655; 858593458; 771888592; 246847651; 662064136; 754536624; 134420069; 746205930; 794783849; 141207430; 784178627; 376008413; 832329732; 254856274; 414638178; 723313426; 529195959; 18131049; 345741658; 979876768; 92082284; 45937001; 506645362; 877191769; 758163954; 859948021; 287935729; 648699120; 153564485; 108809440; 200584769; 722614058; 863285980; 140933829; 514570541; 440764697; 189356167; 565630937; 39341162; 881121036; 279734517; 272384531; 587056411; 847861645; 686632725; 230039656; 702659945; 289381904; 441639069; 505139807; 469700263; 39794497; 387067905; 679684973; 884533453; 182320161; 328981443; 865915565; 902458239; 762558073; 552436945; 625018172; 264854118; 638119824; 719937093; 266315892; 198681644; 833010432; 935214774; 269876590; 508818284; 236258999; 92937247; 617349146; 697907363; 690604641; 537807880; 867960744; 748835641; 36043620; 373878250; 699245657; 816705302; 926492210; 623863704; 472074381; 863919542; 974805556; 214956214; 126308290; 210758258; 763731087; 835366751; 958822268; 841685668; 802839321; 557783657; 710430413; 550149667; 238948248; 291930890; 630285196; 37125254; 99584381; 681609345; 846589738; 201836612; 113894293; 149387279; 515882648; 435338732; 613782390; 274253163; 78944885; 89919922; 953082172; 481079125; 894640433; 750201354; 67636522; 270383746; 280649313; 158795738; 676523756; 201922843; 153142117; 355766465; 613161556; 292514893; 688494123; 416850486; 316198418; 497562440; 645698717; 980463437; 586786289; 757263526; 896081017; 362867946; 296859307; 219095767; 562253455; 779917856; 364100514; 74840243; 749860007; 960927933; 516802610; 137156839; 977394680; 659271176; 586441872; 976015837; 139740216; 300332373; 57150028; 578649844; 560065874; 413012005; 383019623; 29400863; 470013882; 594803700; 199921297; 975946562; 769863257; 701064564; 239918087; 841950084; 2056740; 526112721; 306125780; 332576229; 869770046; 439416532; 729237644; 218396882; 842500268; 574994705; 743566472; 738536268; 270001668; 550210669; 957248209; 915016822; 651603393; 885122696; 57057087; 673572564; 102674974; 420778800; 231169173; 774193205; 974247095; 930558752; 889172169; 320838060; 151392503; 744986238; 934853183; 946187782; 666472109; 401489899; 722654671; 843840969; 314976232; 412979731; 345252835; 354055802; 676066696; 558218880; 922816907; 415202529; 30057660; 174410475; 504533022; 84614776; 961212766; 870210934; 482943352; 60410624; 984539760; 913816967; 806243908; 971013171; 52874268; 579361629; 20794239; 154708630; 908163597; 791438294; 869538331; 731397432; 292085977; 564574300; 381246053; 655134432; 515493574; 587375105; 254511157; 558864511; 572090822; 553008523; 58625498; 771342885; 682243896; 250751274; 353346885; 870992267; 211713122; 135036828; 7198723; 425405052; 124000418; 141570161; 55734534; 392534543; 142394288; 739252727; 648838775; 587849427; 315582943; 630361331; 324286383; 491072892; 326932652; 261114120; 979680031; 540282376; 553946235; 652639058; 559527751; 674721326; 764635257; 340321658; 902611694; 402678577; 596024254; 815865170; 178113743; 739058213; 26961127; 811765397; 63961893; 871339207; 811841272; 308876067; 964559527; 727905765; 990494458; 549075687; 99547387; 137004483; 377685136; 810477288; 227072345; 33185697; 502168714; 722537360; 856761281; 890371489; 122415874; 83969872; 647922300; 743074934; 750792359; 42457769; 823785658; 432597977; 289472364; 878966233; 581246338; 83477091; 652637422; 321085086; 715722191; 327265003; 757551328; 113813862; 96400442; 203870650; 353654673; 251947408; 41785737; 793138390; 823173432; 677068000; 470772116; 934975374; 105007027; 231029631; 249400066; 646913906; 864213872; 124633308; 925113311; 638062259; 284946934; 292853942; 870422265; 195491143; 439477638; 102695621; 156074983; 902123308; 944031028; 598955773; 833140826; 539883641; 269056462; 485543099; 254376262; 15333653; 545923333; 852896476; 33174296; 426712250; 895290414; 555185358; 72857748; 260559405; 180740931; 297842857; 718935518; 836913796; 208296191; 704490442; 167606285; 58549068; 225959880; 22791859; 362651851; 831674651; 821917752; 240151325; 259128874; 210135094; 619256494; 988201139; 570538950; 113633989; 215692145; 293207825; 260249880; 998551392; 308592383; 217879347; 127782428; 643724061; 820009145; 726214358; 525145647; 740627634; 169981222; 492460320; 490320819; 787665351; 290708634; 977321072; 484166473; 596574556; 549556778; 130290628; 438120950; 939127532; 395913868; 623316105; 393685347; 433407311; 936052481; 885262104; 996964549; 465960310; 708579207; 37163633; 708943714; 884975533; 61591400; 325110605; 293012411; 898778608; 580226007; 339521371; 795876536; 62136645; 535548187; 318645080; 169369508; 241327805; 69523277; 429175196; 222547086; 709385096; 581445955; 397699882; 195533677; 842690042; 445504303; 439388107; 450778870; 68066479; 983912433; 958402853; 436333472; 991229135; 720614812; 929896011; 864867577; 59290352; 890754590; 934742489; 159785595; 819855428; 70680828; 38688753; 618240444; 729266083; 72388874; 919742755; 626896271; 19548264; 240782095; 148643758; 133469027; 770747237; 722587802; 6956529; 181375780; 316605305; 652339715; 693839861; 988786398; 255337187; 207179444; 809164942; 579413823; 334362959; 394157809; 916729555; 598799166; 889165911; 592169893; 925327251; 223283589; 101890220; 11075233; 154499898; 771328568; 992753824; 799575779; 428114705; 416970961; 200033441; 711219053; 960983674; 8544653; 817769963; 839034995; 844311189; 492142360; 947039749; 528825751; 558624801; 467618196; 952943774; 400358837; 655439133; 867503513; 3888453; 924196298; 413157768; 165489655; 191603616; 404881802; 653579467; 639291275; 560080363; 516683615; 106300221; 192633232; 119134770; 82934324; 67209156; 511565501; 165834502; 563458409; 717178241; 372115772; 744398683; 57515213; 858751757; 217516810; 21347330; 6915492; 776747959; 816406073; 712593952; 89047865; 189350371; 958947882; 521050690; 534145190; 109162789; 39633680; 404940060; 818760353; 150087177; 31776780; 425097585; 159564805; 974350432; 214506200; 15002731; 441680200; 50569300; 681513106; 544701725; 628021962; 422867980; 911696981; 66535431; 520397280; 490716201; 409363981; 666262609; 11220844; 732892698; 151724591; 711909609; 37430157; 916383761; 146111271; 999033220; 916153540; 337912659; 389907296; 306121157; 170723904; 407371377; 547405169; 372106523; 613284836; 214753713; 339804730; 745915146; 244402230; 352676566; 283366996; 500292232; 345008197; 270299203; 381314654; 320288771; 270504023; 535254023; 361476317; 412350260; 769012809; 192251999; 65488881; 692236445; 35721893; 749171197; 936182899; 885571794; 915366155; 162086291; 840311958; 271807529; 868235612; 499856344; 89725570; 446273365; 886273506; 386817283; 490254474; 644929811; 141326327; 105740722; 908566324; 908338528; 998246610; 971433214; 957446656; 275900530; 741101723; 326904352; 557345200; 662436100; 601738122; 887813006; 620980408; 247152637; 325561054; 749700514; 336905306; 614665297; 608528303; 486743974; 927873482; 101275894; 757544391; 697416417; 213454096; 777961355; 25147944; 576018173; 451647840; 138992300; 344726388; 678037965; 849886105; 912229651; 941827988; 520522324; 576358784; 489110742; 670634017; 112013576; 594355036; 695317252; 717429928; 559699696; 262534870; 546003297; 354784424; 451467123; 664433320; 414263303; 577292629; 129590358; 373840986; 644603209; 653700690; 385439848; 828248287; 687005520; 992310745; 589790308; 599072506; 864595731; 384291825; 487642477; 259588167; 682697588; 105133793; 400556611; 916015767; 416523175; 746355812; 563224559; 764853892; 546528195; 185642722; 591895779; 327827738; 413560092; 563708026; 748727080; 313403567; 781761119; 843263459; 942331113; 993152583; 695212882; 378975291; 348598602; 884300044; 720935629; 846619359; 640309537; 680054409; 480966761; 150357982; 77250311; 577013955; 870877565; 477648563; 522676558; 553063972; 144841344; 567750479; 359031656; 531210601; 678467827; 219781898; 895929445; 277930127; 768683773; 853476641; 68163572; 458364515; 570658823; 284928809; 51410924; 199864303; 760139626; 696384139; 957141997; 535136732; 564708320; 971280347; 126372607; 803764971; 272932346; 524693371; 468189297; 205004396; 705820256; 822413156; 680786157; 277783412; 994184147; 534932853; 788470665; 736217728; 935061020; 240674799; 281745163; 262133228; 527687446; 720218823; 611227220; 161553346; 88263261; 504534450; 759722238; 573040244; 293568726; 365897340; 30028305; 676218476; 209360763; 977886773; 519278240; 953570687; 12531504; 272200521; 167924803; 550271946; 443228927; 771542415; 733096238; 626076896; 499878150; 59519102; 596775049; 61707471; 247753425; 331296672; 56550024; 87278855; 966899669; 33564902; 563038003; 365728616; 794980682; 747532191; 308399612; 361806686; 470772771; 661663749; 553200696; 292927487; 704651277; 70820831; 399721119; 762072558; 44306085; 961669221; 576846349; 92375324; 659671328; 126319980; 805981138; 275530251; 841673882; 58431893; 252996740; 203521051; 232101218; 937446163; 194349276; 807859220; 876482859; 445577411; 437633718; 161068819; 87184689; 514992216; 123042081; 725168316; 71646449; 334646665; 435507276; 567274533; 239724250; 179860651; 151503; 570758677; 232433162; 294404440; 403174746; 413863586; 424373189; 563420762; 919031755; 587264571; 830681986; 263939125; 371855807; 38684118; 64021454; 518056480; 248863651; 573818616; 550533289; 558318857; 400331911; 774908898; 126437618; 942378244; 574648114; 620634491; 663383379; 214377271; 236763306; 50925289; 838726397; 762846790; 841069509; 420083118; 457956948; 422595276; 766258064; 979632110; 943807664; 230224940; 990214497; 306406586; 255164482; 557223475; 543306586; 539852413; 928859583; 18492259; 472141761; 33579728; 408671261; 68540177; 18074118; 868439228; 646366305; 350066286; 957039972; 289965914; 746249309; 998161486; 445075057; 86055627; 496056497; 639353598; 617373181; 117753643; 968035693; 469924518; 578857837; 205418740; 83021724; 849278674; 581583839; 358189527; 454199278; 281524701; 294523744; 905170527; 203915181; 263884153; 403812220; 751302524; 18485203; 599036526; 892849375; 19655588; 371092017; 472372081; 315895230; 931864812; 692332100; 627138938; 168839818; 290185636; 61137265; 354401068; 970626599; 870260043; 319518638; 20628756; 976431159; 487148287; 181420728; 414235286; 251802610; 629042405; 878290883; 769798760; 175764079; 260707190; 712892490; 411764075; 30421444; 948930090; 398821775; 703906776; 441591462; 546409947; 435223911; 50279713; 91716790; 224893887; 906735442; 76418303; 392329676; 242953377; 430970158; 626469287; 778670280; 43828382; 690096936; 193463718; 484943545; 30248846; 752545756; 892142362; 194484035; 698124945; 5284337; 464112279; 924268999; 18048716; 522817733; 286078181; 571834703; 95556114; 317419566; 655517692; 938333995; 626160564; 511945301; 70583425; 987582109; 418789016; 814240674; 93546647; 350620366; 47040022; 94918848; 545501224; 159315431; 315900086; 893200400; 161936330; 796058460; 34727393; 275513869; 410918333; 183570136; 298016509; 435423004; 501986268; 571491490; 538999173; 109981426; 344666036; 427692046; 39540521; 434624614; 679425497; 437943834; 29570648; 259856034; 480375093; 525008519; 832893594; 215997382; 858016227; 618186107; 513671994; 366042139; 830020826; 97938740; 133257568; 739501265; 697530164; 473874339; 908280513; 6355405; 587610178; 623247587; 220552827; 108934659; 695189137; 110830846; 563720750; 418155929; 579046311; 698005815; 693031154; 657969673; 921748102; 277998204; 847868901; 580493912; 268300384; 300220651; 790634454; 451105018; 97408023; 839212957; 878255291; 357922489; 925822010; 992400; 183589034; 67307234; 532091568; 495287462; 360572421; 107577422; 572663310; 89651493; 705155271; 647247625; 342020044; 209498386; 117007974; 347976255; 436819409; 534134932; 645993182; 212816827; 872114535; 260069933; 90827359; 624069389; 625221912; 848551496; 286184383; 937989000; 458986672; 741846177; 572477287; 589128225; 27244714; 288468004; 393650848; 976452296; 77327723; 915365661; 281217977; 65414742; 57330196; 369695238; 584786818; 93998080; 455937088; 648233078; 734536313; 66772268; 977928786; 559837882; 983771728; 841447231; 99838963; 137898076; 61258889; 782471175; 638444387; 66178837; 611993189; 767944823; 696400221; 480042636; 864603583; 984158792; 136473356; 691157625; 457171234; 191296432; 713714225; 944199630; 322162662; 2470038; 13581986; 326412724; 167855811; 263760877; 110502438; 264598380; 236446604; 414259108; 972095032; 623327585; 590180007; 559102133; 585201429; 536036601; 810943066; 993927040; 60081089; 644519555; 744990242; 652819019; 700501173; 449250777; 497021266; 988189779; 277995672; 911587854; 134336067; 282405555; 303808371; 139899060; 655323455; 423629417; 547175786; 937069961; 388903331; 762843755; 232669174; 207091870; 697710711; 229225790; 387892295; 200284107; 448872659; 866470094; 765095609; 398824726; 975543170; 577025609; 803682177; 408383151; 835767654; 486450345; 461760774; 987747225; 564342940; 416324361; 869581201; 744090442; 195585896; 201855989; 572496991; 942006569; 459815135; 318683691; 37605683; 950339233; 808632975; 469435785; 989527733; 667502424; 121696212; 805494968; 318618382; 295804413; 242250158; 952713097; 978726076; 704459674; 111341541; 96026793; 579978372; 125232039; 871992809; 397610646; 699255457; 652311042; 74364815; 957569816; 737185336; 212035978; 2793173; 10234925; 218070059; 77405261; 108023031; 196108113; 771333679; 888623204; 63887180; 507105057; 56027229; 304943695; 786538821; 346654670; 284575079; 444414364; 396426524; 248700167; 412318046; 507301183; 913210382; 79767343; 782344712; 314584522; 671698722; 720567670; 63906529; 331763382; 580260237; 210548344; 523846549; 163007036; 573288939; 123593559; 718434732; 163497310; 848922928; 549888876; 657484397; 982397651; 412145858; 357059393; 267826871; 630919619; 242810244; 969288946; 319919454; 153279185; 734101094; 522111155; 52372199; 661742028; 345415481; 115696496; 756018867; 472423458; 355202914; 498621837; 865207885; 353056929; 513517750; 760900240; 271040046; 583874354; 469430770; 379094773; 349085827; 149886127; 73263224; 801042887; 971353727; 902446187; 857784671; 759469328; 787727067; 215050418; 145027869; 582032450; 488060221; 745110850; 770587948; 548210474; 285868799; 328517682; 681207984; 480131136; 508221606; 696772319; 121690470; 446335507; 455281692; 442699830; 393689076; 639532024; 418873558; 487477457; 587330323; 496239310; 832918374; 26784889; 692815943; 322838457; 68406286; 851585179; 811860890; 217464418; 47926309; 583334012; 981849787; 424081278; 846226402; 834734133; 16978019; 818288449; 813428858; 529242657; 128001291; 589781950; 672382319; 888452893; 724677030; 758668450; 777759011; 141350475; 814408429; 199416883; 330190215; 343185508; 529467502; 450220127; 497585145; 269491816; 357774572; 440790074; 548681066; 183048844; 371893011; 339147499; 259897649; 258978969; 275916932; 395498551; 712934069; 636328846; 715755978; 291895457; 667663134; 454421516; 284660379; 986369695; 365130221; 360090809; 420767572; 674657985; 410263344; 263146067; 971630833; 659492936; 831254124; 275273022; 568163145; 982385638; 458997148; 652705520; 482292772; 615572939; 369949257; 463000762; 697890193; 38223380; 470187425; 994048952; 376533151; 480752429; 896066220; 58264501; 219009110; 87586175; 374037153; 651499062; 238004558; 730448938; 382796974; 819459500; 528387157; 904142186; 946674411; 423198855; 303941970; 95368602; 585078108; 520899474; 424672930; 365086778; 450938816; 882444419; 342205986; 166013457; 948304909; 175794620; 511841464; 158663029; 271585611; 903706479; 273133352; 844580937; 106549204; 722709157; 947031292; 158146366; 575477879; 406848999; 884939718; 507474455; 303943135; 246568993; 538931088; 72155800; 339623110; 319212676; 110648110; 379161759; 358267932; 958307362; 208347124; 232028392; 575001302; 723682585; 844897502; 449327140; 125340679; 2677847; 732449516; 536873838; 560050164; 719012020; 117066196; 159364132; 221088992; 762700494; 937025242; 728356399; 938024993; 881173365; 79132140; 358395201; 941883706; 182289434; 118776158; 396900808; 562518465; 506572799; 441692968; 525636278; 823715019; 84608973; 278974721; 947170410; 674387666; 467416630; 702822863; 261709382; 553473949; 67094895; 143932339; 398914922; 798086456; 946025060; 537876502; 951862026; 353709769; 687535877; 636570715; 815919554; 954792220; 866583653; 218319573; 766746388; 675337075; 59856501; 686127337; 284506829; 920616014; 583100752; 340348809; 841300682; 339312201; 127034180; 84566628; 717702551; 511640395; 930269892; 100702891; 529125247; 21914649; 312412400; 928086577; 410019209; 92818825; 549929494; 981444929; 25900458; 716198526; 295153565; 615095929; 730361626; 836795933; 999545402; 851013151; 591392566; 956602277; 625175700; 441958224; 649324586; 925649371; 197424524; 587705118; 208501610; 387209147; 489878338; 18945482; 381867631; 525719109; 591263005; 778076016; 33535872; 791210570; 933105466; 97089417; 928856265; 346421912; 491097472; 109204323; 798599800; 732591864; 852265908; 351294478; 432217407; 630692369; 5011476; 409276478; 921752962; 616089812; 165350285; 315932043; 824417652; 919799186; 323123050; 472453189; 204799721; 407436764; 302316048; 848764993; 363963145; 433460168; 434590594; 236498487; 171804394; 782220782; 447540696; 593949628; 842943995; 188193299; 881910628; 96403731; 857697932; 999898392; 597014922; 118539428; 835675037; 768537707; 661485358; 895838105; 69666030; 266644198; 484582237; 360666734; 995273906; 343504041; 179995299; 12413511; 890092222; 245239949; 95218218; 213157463; 966892720; 366018052; 911053937; 755351139; 712997567; 210109939; 724320166; 694737449; 258807253; 786641617; 66183870; 820708459; 505899913; 325916036; 588597585; 565158937; 120473543; 307953110; 34960871; 444689233; 307158408; 488980048; 510068046; 335016346; 481661027; 759718310; 557273190; 437252777; 93072630; 65396633; 2168909; 14984443; 30751135; 126873377; 209876525; 522250578; 439843228; 759991122; 314039797; 490374192; 55727678; 492203637; 366111372; 438386789; 963332486; 694429120; 563841227; 717088283; 572085090; 887707528; 169585901; 405721606; 869546682; 605108745; 355129221; 198265080; 128098387; 138533744; 521109220; 640787981; 645344901; 91838048; 16145318; 730532757; 371755034; 560522754; 925264220; 230870361; 868421141; 779818311; 843813731; 494634056; 780759664; 474669722; 915867174; 335682517; 991963247; 524858308; 561800985; 302554884; 920424520; 257662327; 682566932; 936374822; 266471240; 310380347; 170498703; 183692950; 879678860; 117715818; 429644780; 8421027; 808260029; 912054695; 577106254; 265154265; 483792650; 324293057; 422124216; 759403666; 524146374; 930744328; 597123765; 61532749; 669832498; 648974750; 127831384; 365747858; 95886359; 989986237; 626322693; 520679505; 289321280; 256316534; 750284110; 306897398; 209036119; 487741136; 712325978; 201582003; 689574486; 275607296; 84853598; 496834237; 909623884; 830153048; 994799468; 232851956; 964839038; 302248526; 857206791; 461416520; 966257722; 338980713; 792000569; 939055669; 599204077; 751007869; 518026988; 313738798; 280876621; 694638724; 774501906; 411007642; 717070929; 809992569; 424058777; 654108211; 949497042; 856058012; 515088415; 150033402; 184190208; 604045479; 79432257; 755844963; 564988677; 902641037; 250113289; 454223112; 43614; 642456501; 368337520; 781161371; 417174977; 408175278; 810892531; 816744006; 680813996; 699982517; 967194655; 330316636; 22151650; 402825535; 512598379; 376093944; 72130687; 476417016; 971294027; 287561268; 342924520; 801267926; 612670901; 131686014; 82817689; 530671356; 17996151; 681501249; 278540267; 834188144; 753833403; 623264375; 691656979; 17171308; 530223678; 473646122; 401556701; 534632722; 655784896; 63729468; 501302301; 865179996; 204760471; 477759126; 357007774; 465463607; 379109392; 160119059; 968277734; 328786761; 99376881; 841704279; 557973981; 483748540; 13287179; 55555250; 625402004; 149937363; 334866841; 198834809; 33852911; 215845275; 997145595; 669091445; 331838443; 937133476; 95481512; 899004604; 509718973; 454788132; 329552724; 662510361; 729254642; 867905749; 544701067; 463125631; 5775454; 417616342; 838597086; 670091629; 328375564; 875517021; 141997903; 423232496; 935050938; 214342220; 934873548; 584306877; 952273339; 225509920; 530638965; 785865628; 453471363; 644944805; 385372788; 367021902; 356704394; 434226196; 366464984; 361147813; 266772563; 775620960; 405032188; 374036509; 950182870; 150619861; 568103889; 398386436; 833139533; 309799367; 199389843; 332788285; 845520973; 948221092; 559397304; 240452089; 193507897; 780366737; 378822265; 958423909; 766930706; 502345468; 111525421; 729609648; 864069779; 133365739; 636538493; 956792313; 377028856; 887929496; 139905059; 885947813; 663017618; 682620004; 961072651; 425218808; 111670217; 587484806; 491936132; 810713262; 66870563; 512750352; 119126864; 942670458; 967781113; 299741075; 957151730; 865503763; 625332449; 714780286; 16332042; 839196601; 417438781; 942595743; 308696363; 111454419; 795996272; 34526303; 793975111; 6282553; 408867075; 436264893; 461654711; 618962101; 530022632; 829647388; 156872641; 187710743; 970417786; 71976312; 610361693; 949479604; 246548379; 60479703; 42451571; 656802860; 772289577; 14518986; 195282734; 370587337; 133553451; 64416399; 442890948; 485741959; 699998431; 241657904; 58633389; 920623010; 289516918; 623982319; 628132245; 324686655; 207837984; 142786353; 492564506; 433210785; 831953417; 685746843; 842556764; 206951696; 206731260; 249203418; 668174154; 543635027; 502227111; 545762778; 620695418; 952518958; 313357760; 597833754; 850279114; 930604267; 138743961; 425430882; 132596380; 30383291; 374084580; 410697054; 702052459; 638782283; 363685741; 913792401; 123347115; 461827128; 638599332; 215244093; 321021363; 476016363; 1461675; 45979772; 937705394; 639380550; 172207016; 405063498; 414093361; 449212281; 697463256; 446953401; 397567661; 399641177; 795707329; 552662821; 45437688; 888941280; 636399790; 437665209; 386894403; 609108199; 496016833; 287646015; 571821346; 853173417; 334521050; 550092012; 180411843; 854161700; 637774807; 172130141; 473306557; 681612487; 352832744; 122586686; 637694400; 692879737; 591291682; 981786908; 978517379; 978259274; 153218609; 108983698; 344589107; 431225067; 283773337; 16874998; 789471476; 681745664; 723252806; 486355568; 135080642; 725199571; 133989025; 553655325; 789001098; 417229735; 698712627; 465916496; 128890711; 932365923; 442489840; 20348537; 379270386; 721960128; 654718826; 880264207; 824562947; 57870886; 183643859; 55544912; 871806385; 307234173; 674377438; 616547204; 29048767; 622707378; 638501651; 42575826; 794491021; 254065296; 634986747; 839890980; 153718278; 81502635; 262782705; 308343245; 150454410; 489692326; 846350010; 490531363; 610165739; 185061216; 909633745; 732526928; 372873343; 62061389; 936605100; 868811995; 376397259; 21427269; 61081961; 590623202; 83386566; 770277784; 530604088; 705449490; 603515148; 240188204; 79556189; 73213164; 318974944; 501978821; 842647372; 630258014; 797137689; 242297588; 831306680; 337483316; 984607008; 83592413; 957993560; 319370199; 969893588; 801948141; 413072584; 860681067; 482809105; 116048314; 332080979; 786629740; 121772985; 297211291; 552511225; 687308825; 637586830; 393696551; 581992644; 854933264; 602100001; 275234771; 947943033; 403659762; 670060606; 413988580; 724443366; 535512391; 234695318; 294536528; 580114306; 473667100; 154686180; 194815987; 59119057; 590502875; 33435055; 784492567; 565680445; 48365162; 67648197; 538783754; 27807752; 523451656; 81936984; 716476866; 76564714; 76983929; 701628465; 797651206; 760977945; 110264943; 107205470; 806386059; 224017925; 524662792; 915142691; 82382194; 74191064; 624795494; 465732245; 23317184; 995398586; 5792809; 832318002; 8233686; 343410017; 683201362; 708229493; 46592239; 889600085; 391346744; 693712764; 985578382; 421460321; 799018305; 899495022; 169384173; 711315909; 932606066; 407112087; 107212997; 127173274; 549331434; 165822476; 412842413; 709751620; 129586311; 103648263; 528382316; 401740975; 889725580; 759519193; 259012337; 234722774; 132693213; 840487560; 771044427; 408869996; 346410317; 639252735; 526956413; 175324229; 144301283; 124795321; 123676424; 942884026; 850147778; 657792443; 703425942; 388641; 121438034; 161285757; 505869942; 582008538; 762252199; 68467190; 761693379; 540902078; 486788932; 396987106; 79480612; 924049794; 55517531; 932001218; 118323420; 81699984; 562273810; 225841391; 215324278; 450212108; 579759726; 425763496; 867973372; 935809193; 700281229; 519562061; 790131948; 545400591; 760138174; 534717199; 715562907; 299164471; 54709790; 262449949; 941957997; 193636201; 938484018; 556684314; 790642728; 830955502; 782613257; 835499476; 350615220; 442547349; 878006573; 519599805; 602795433; 614442068; 760561439; 565453429; 486318914; 518558747; 897194988; 691660475; 869738414; 459965580; 827276447; 153273058; 181643091; 114025849; 1596374; 568360265; 777838208; 248214415; 939142246; 572654076; 293714797; 127585250; 215102787; 753244412; 116111454; 866651814; 297331625; 45598963; 530605481; 601746773; 319119198; 961383471; 431373450; 599883305; 702058050; 754629590; 232351653; 89083252; 4574979; 304661738; 78974751; 347372914; 841813221; 25677573; 779670565; 664323172; 971423606; 512356403; 472045475; 904238933; 123209771; 104165480; 725285974; 789654972; 645203660; 556542973; 833307576; 171009585; 497911565; 990187581; 134569211; 78256141; 668549834; 616112711; 974264265; 770377850; 283930706; 463433618; 923306117; 145452656; 623405779; 345415410; 804373929; 761750569; 714922274; 202706760; 538576753; 194921375; 495708910; 770207467; 551934885; 971870355; 399191316; 873340881; 511993981; 952024808; 15967464; 991863829; 840984318; 340722335; 35068426; 665027986; 269576584; 421989073; 184789442; 490460084; 636718701; 734553327; 740300451; 553853712; 187881444; 293542311; 528727756; 433462447; 61708221; 154513484; 827155805; 24662583; 248824353; 608998986; 410428764; 533117898; 435377543; 705885726; 829633463; 530328957; 204163889; 295289789; 186615962; 664728932; 858453621; 13969806; 829531987; 870241367; 854031354; 147716673; 93578702; 806507977; 717387749; 891453664; 677772263; 616945855; 793614240; 422967955; 962773593; 417104144; 257595027; 443949157; 561511625; 697535945; 423220917; 788259437; 317140086; 640742596; 590472774; 897867833; 682229424; 466191145; 3286040; 322360756; 463155731; 340016784; 638440711; 914846263; 420071060; 560456275; 32699863; 445791861; 716569373; 844238808; 118404009; 274633291; 793470737; 875877453; 612831002; 478611077; 389404729; 984735129; 210044671; 677434432; 99212266; 555957124; 528654183; 946372062; 940568699; 519281209; 868818722; 61387056; 17179453; 580340148; 306219069; 875414750; 955694467; 495935794; 38727398; 506119234; 770184454; 65799012; 733658408; 491521380; 350513747; 942135894; 673462299; 133519114; 954360097; 159382527; 483507782; 232026997; 329447804; 539750538; 718822257; 930205765; 414553174; 348770025; 923940396; 910764897; 772069724; 312804504; 963270649; 393704375; 348722496; 843132185; 846578065; 238537683; 374867953; 781497167; 428140821; 924784363; 788810705; 699801749; 609208482; 284093996; 4841993; 202941407; 456683576; 347922901; 552394559; 44348543; 376038478; 434962180; 136766865; 961571482; 285039048; 776735211; 707825865; 985816210; 472392173; 228075409; 759065925; 372412296; 822877538; 723929673; 654629205; 595097851; 213998061; 950254485; 425270556; 928896428; 684833265; 222829854; 869698823; 258978845; 30359610; 380197016; 533078636; 551011009; 797944108; 490252043; 324941535; 99343242; 291253012; 958108281; 214470748; 999776105; 443717896; 972165388; 290684236; 685281391; 641344667; 672862760; 231413481; 244287049; 211039333; 821458999; 839048171; 379112572; 929163769; 17510751; 916627320; 33312156; 461537528; 379441438; 949035690; 31249030; 633409942; 594860507; 371089371; 242691666; 481651210; 524772094; 93040546; 227772914; 988718422; 838006517; 465077336; 568222577; 101273288; 385433529; 607047303; 732634826; 70054198; 498495849; 579073114; 72815786; 723859431; 314954920; 947694418; 377829628; 325596677; 897618957; 406212686; 976495119; 357751523; 849136431; 643586696; 903003536; 815051188; 12641752; 670853784; 775177740; 476881609; 958465789; 215316849; 274376079; 354055668; 588790232; 236267761; 877988149; 352588320; 226212203; 382128129; 569246807; 330814637; 153966813; 504036207; 445062820; 431074388; 658722163; 640153769; 203489672; 149975235; 997608347; 740535378; 835239994; 469505316; 698607500; 633449601; 351552265; 838793348; 455992601; 999578770; 173174167; 854569504; 87226380; 291693081; 912116389; 319858932; 74190199; 536724871; 938076228; 919005043; 417569782; 519587181; 668222107; 857958197; 725224235; 738017825; 821723288; 366792492; 510883716; 634435156; 759563938; 400585911; 97940889; 522928089; 191430059; 17230388; 537893800; 805024730; 669064498; 55267594; 893703880; 643761884; 970251683; 849330385; 308594921; 728157639; 381446512; 687812549; 383805660; 788042453; 229884002; 60798482; 733122943; 262519653; 616174204; 995217253; 141226324; 986127160; 284085874; 209313203; 219724967; 438750232; 295998030; 693303032; 934096628; 854194175; 764422687; 18643011; 442279491; 484225500; 790428137; 764602025; 327903317; 808009378; 560360004; 197408817; 26776564; 649269144; 505095170; 555886797; 974323566; 300334098; 901184289; 113438782; 418156785; 399172642; 497022088; 283066583; 99694225; 754493533; 4626074; 397334157; 268800401; 494661111; 225974292; 682167577; 888525629; 401494760; 665252168; 469677720; 830085621; 142771085; 466856913; 325449205; 69342485; 651545484; 150810890; 994639298; 440247596; 520889768; 932521486; 874116308; 650958254; 161649247; 620555027; 549149914; 234997699; 71705103; 739600504; 32530367; 95210306; 683452818; 784379630; 639596358; 789792380; 466181360; 72828722; 899667307; 744863366; 994931162; 74493590; 270740105; 800354380; 77604074; 135386577; 560841760; 585631463; 695060118; 232548117; 791299059; 538151673; 734135121; 279209507; 668173333; 338792078; 968814800; 81626120; 512042870; 651222164; 915125029; 735213630; 167477314; 406726827; 752478031; 895178620; 9997475; 629321996; 833524832; 489862241; 841860187; 920706301; 490013097; 14122966; 284077980; 508796954; 410881166; 729462168; 607862465; 821410572; 211771836; 861486524; 632549589; 421276415; 786993019; 575964929; 597033708; 177969270; 218707697; 781769451; 463121241; 90535066; 927344202; 770028211; 996628732; 383143781; 858205208; 29420819; 617365603; 145136155; 198875222; 615580822; 898740800; 772663707; 472234099; 165151568; 443368163; 211968138; 451245898; 428075435; 165679922; 113344164; 3769855; 256653320; 133413631; 727469610; 486098748; 929334483; 639555445; 404596006; 548065924; 370813574; 341669324; 602949654; 380358515; 96822051; 1118486; 955916092; 395056355; 884860820; 6242584; 442811196; 812572264; 251842308; 691734781; 32638324; 681779439; 184437081; 987773983; 355271956; 876520174; 406595733; 701059084; 489274932; 157064002; 850937718; 507074627; 121735021; 382612933; 791755985; 328727520; 896650475; 588363506; 646619326; 699859986; 295954559; 834581413; 243407255; 665206123; 897120812; 957834345; 305037159; 307666379; 605404139; 274462227; 948929917; 136731124; 472543423; 174276837; 641696790; 801595518; 104336176; 253646590; 697319475; 648842081; 559902726; 604182215; 340515188; 35574323; 866080631; 949314673; 404499509; 153299264; 602402663; 373360244; 949905973; 908560456; 257336820; 651656023; 924285265; 222579498; 602856062; 392357233; 820715156; 679150839; 944909752; 201402736; 202384080; 398979465; 119666651; 755090724; 655001157; 473768283; 454874096; 960019491; 969051576; 701814879; 27311654; 520726070; 616493762; 198470870; 271619428; 519113916; 567373459; 140374598; 443606072; 126088796; 313639336; 154154570; 535744725; 300206938; 688037478; 840720462; 856364404; 26844060; 231464148; 555392595; 359412081; 263165960; 70702783; 586942872; 206829641; 63642528; 50443961; 174809771; 921917196; 177047358; 409891197; 744846198; 8345575; 841438745; 809130017; 180412223; 274114380; 427735312; 736725133; 112327009; 511326341; 183181306; 770868250; 468515026; 707490145; 781410399; 400277117; 680160404; 442077734; 514067810; 445439973; 225787582; 343739749; 387253165; 266138195; 320647158; 158291461; 669299015; 995450661; 969909759; 146401451; 77668703; 666235744; 329678966; 51982323; 226685844; 676867557; 280273550; 208041703; 709663427; 287045650; 425345898; 1419665; 486528884; 745518479; 497879972; 377137535; 503374775; 255720956; 227903624; 41969282; 286855215; 511030851; 606418448; 208380838; 897597973; 989983803; 661769362; 483923248; 417626442; 284621584; 751926330; 296090221; 646720605; 444924874; 882902277; 427465935; 225319662; 398086012; 323837887; 915753333; 945679534; 679651724; 60322251; 150302013; 67845969; 72569382; 243891548; 879874884; 138719871; 936435206; 890886609; 852825054; 708069430; 550940926; 932052985; 855032299; 368591102; 640019862; 390698750; 193507395; 196834733; 622074266; 126987687; 411409845; 604743306; 365411382; 460884794; 258449759; 242264399; 237604742; 874070633; 322017826; 192571166; 510958501; 778629522; 590984385; 382593067; 210497301; 263658383; 760181537; 993102983; 951158322; 605952329; 491253944; 911150791; 250995514; 410586035; 984374254; 751149040; 148485143; 525178075; 484690925; 541227806; 808248307; 149813515; 114009163; 893595037; 427141771; 219671241; 998828348; 490171770; 865853087; 891377259; 102490793; 75385506; 231389788; 181241267; 229091804; 121846366; 456833835; 836131835; 577639435; 293216123; 330098476; 820380636; 561293306; 289059809; 462548246; 202234955; 353976428; 96170721; 232461330; 267076346; 373029426; 917661456; 333864179; 656997944; 530215512; 238489139; 341518824; 548513016; 222542320; 478902131; 826357635; 911434805; 142031190; 458879636; 146481294; 663899257; 902994568; 173084382; 145551260; 555907732; 473868283; 900963359; 252924287; 980943230; 262913852; 609767902; 507956769; 263288185; 725993154; 37224988; 331248183; 444569867; 686316938; 503317446; 110753999; 319594477; 26467614; 106202392; 264577672; 314043839; 271461966; 433787989; 825293630; 754367303; 583320638; 460296893; 589812197; 429561124; 518683091; 938742938; 119412706; 374165363; 938284209; 305949983; 804270010; 574394643; 991744311; 118443661; 822879414; 328227190; 910036176; 17933687; 703760776; 561289408; 177049757; 684934702; 914704245; 207001642; 866918731; 823178253; 300884385; 562530673; 894888474; 910244844; 801151327; 647319703; 379453284; 123445171; 176281675; 494467837; 942048165; 250332363; 459953736; 440588952; 896721180; 175107811; 54092084; 429556569; 5843311; 606754169; 100100912; 749292426; 395672109; 256915470; 675549833; 278599767; 827463273; 205778696; 370152831; 954397288; 2164284; 567110357; 473106855; 771994664; 714608428; 895042302; 557506954; 932448618; 721137930; 234869816; 501862426; 735547089; 805023335; 747757381; 689361061; 533458854; 237647205; 821818219; 41426574; 328475030; 99495784; 836698770; 835286273; 410322052; 984523554; 58814160; 80738940; 112189037; 828986607; 945517327; 819555420; 683393828; 294570418; 735516857; 914859422; 339363622; 56567986; 730086057; 406731681; 871977797; 625550332; 778201973; 656013319; 127922228; 769992406; 685136657; 266053156; 649667035; 565278183; 60696089; 30818042; 679111362; 740685406; 479067710; 689859720; 988885107; 722100653; 755827653; 271051363; 252810337; 844530659; 589680383; 690086097; 565648112; 543705890; 167608035; 171833127; 131978869; 284792339; 597313695; 996716791; 318240269; 998940055; 977339257; 306408485; 608957671; 127164840; 796665191; 245245236; 498784847; 193224771; 475805254; 339071655; 627409825; 390653256; 802894785; 789937067; 435010543; 217239892; 544297688; 933216027; 183063337; 623802049; 466710905; 90157274; 44544327; 438484299; 130389846; 78482038; 635189788; 491464602; 271858489; 316674054; 80818423; 827382936; 300282340; 937879262; 973575199; 963836998; 577340561; 870558739; 35043234; 705638627; 788801211; 416353104; 746577685; 122470636; 161039091; 149250509; 795299898; 854803459; 580148041; 218832186; 758111499; 866919925; 560304820; 99138667; 304103801; 846468106; 291081113; 578967674; 957899648; 536051432; 837572095; 994298351; 248835685; 826798370; 529669552; 610699440; 678600867; 720621194; 202533857; 797090424; 819840461; 70430494; 696059918; 684876147; 982207358; 750507000; 185901059; 95651986; 649978527; 816638198; 160443269; 827910783; 778120241; 745249043; 591985312; 109083386; 477751891; 984513252; 709976694; 297773412; 851524947; 681053614; 780899882; 445100108; 501998733; 320622053; 351416832; 885205159; 73224995; 335461910; 565216084; 861169419; 207633613; 403287215; 74111710; 286342053; 292022703; 513527225; 187584824; 133691723; 499210600; 213443258; 287471122; 618393242; 738878188; 68938031; 383425363; 613406592; 372008077; 742253956; 775739693; 26905992; 630436120; 491637199; 79810719; 826872396; 765664145; 756001255; 810916261; 563901103; 702313094; 51720547; 36752729; 631293777; 868634755; 606974473; 921875943; 826921024; 413858819; 934407288; 767664397; 667206188; 892320422; 440717390; 22454585; 370729048; 507540039; 648928118; 953208674; 153422897; 558453816; 504370340; 339062949; 775367377; 886597678; 229207474; 359999767; 212504605; 329514343; 521070166; 584691212; 522097630; 730005150; 573159893; 580693080; 170111128; 983988501; 753808708; 530703933; 739300643; 511253787; 337731073; 998135795; 268398175; 291119040; 44379789; 53534450; 370608071; 687487187; 463754231; 756637967; 54947543; 484519653; 664651257; 554403348; 962917791; 132434921; 996938050; 856629197; 62188486; 430657152; 960621340; 546370441; 423576078; 90983461; 913272721; 260585594; 949017436; 81799541; 98457753; 382697235; 516091999; 837529383; 354168323; 410562672; 365610323; 466594698; 60086798; 425769179; 118004119; 117673719; 800871825; 854056186; 189130560; 267959020; 203337893; 585359150; 528188684; 979702187; 872766516; 335187621; 572539606; 76300765; 758091312; 826040959; 415544877; 920007767; 751131862; 413309020; 902212650; 39852873; 421505984; 211105902; 482979776; 99264944; 237961538; 454133948; 448477408; 261957290; 704682300; 502543717; 722587503; 741236490; 889941655; 748929382; 355129153; 993908356; 386253100; 376162772; 155936180; 964753134; 55319350; 143651904; 959500652; 307388582; 960796260; 606856621; 318252918; 994909220; 105127913; 318127686; 799498817; 269695535; 177855059; 374334745; 101091784; 179714580; 534119571; 2662042; 505599163; 303240296; 748255283; 485523776; 97067949; 517300224; 225825648; 137197996; 58932629; 491265072; 411585349; 243238379; 471830434; 403795694; 582371192; 210682627; 459978366; 730496243; 352447278; 311870834; 435709580; 356141122; 104290588; 152268445; 689192412; 540340939; 534626279; 562119192; 413011350; 460847845; 337407045; 703427412; 196425942; 498543882; 509698972; 351204807; 19254399; 950074222; 60481259; 41783015; 78845838; 256144984; 179427146; 236688369; 354860826; 670209283; 117602006; 662134056; 69062043; 740870758; 709944041; 807363351; 432499275; 388460379; 986157557; 850476402; 888686808; 248355584; 829545927; 730601385; 452586541; 952048301; 331345140; 690333466; 705933849; 160462644; 912052275; 441326150; 957628992; 380564357; 177907216; 518045293; 501584658; 769326267; 2354527; 74765302; 891332527; 681320715; 296975873; 110672121; 61462801; 876871907; 685445422; 4464673; 29779098; 709580428; 46414917; 310656980; 815461442; 768858403; 54152391; 489389243; 890073646; 455533508; 696230023; 156008759; 492306516; 496724495; 320187812; 87045073; 738092783; 502597072; 513166093; 42432789; 111620166; 342011923; 692512176; 207560766; 771364723; 956617771; 567874447; 604943608; 868326724; 725320718; 412038251; 957229689; 20059922; 156771823; 531615597; 377845091; 153296965; 884643913; 462562114; 727234276; 968921668; 869764333; 724395186; 312868471; 712540966; 174103664; 189317693; 897242971; 515410779; 254781283; 450798394; 873892950; 62033777; 847758349; 352819556; 817200848; 428736930; 764350038; 780249694; 567118560; 916654001; 403365416; 996621133; 390785595; 206792668; 804141086; 100851526; 914001120; 557464861; 455942232; 148082850; 320184729; 836790673; 296551729; 16576373; 23496179; 54502873; 439838260; 294925297; 79819362; 622115519; 60978142; 493042697; 143112142; 13543209; 650593766; 786514394; 70620262; 829768261; 283563898; 304002706; 327040436; 112976741; 191284388; 594973539; 34259798; 531628570; 812422387; 293752457; 261783231; 482201721; 304258099; 204108154; 913599340; 771564423; 614810393; 551875327; 552856056; 486549859; 352643674; 489382476; 222203947; 34676663; 353345602; 405567283; 37740605; 719960226; 731888158; 540640824; 616047759; 867338996; 66868419; 811895180; 528657494; 583178565; 954867971; 36912817; 303227950; 681030327; 858082812; 876423342; 472599820; 732273192; 202487463; 160761547; 143399114; 64440160; 938634614; 89743644; 11624246; 550801273; 715237723; 349025082; 312565365; 347772011; 343653802; 953487178; 146998113; 791889478; 422862016; 32852289; 236239741; 982936018; 928162002; 46696594; 966825204; 714176533; 483897977; 488149535; 275126528; 134086093; 310840895; 940476028; 503605009; 283398146; 285418422; 733538371; 848939887; 586540347; 566607436; 73169051; 596232300; 648502571; 504156304; 716327546; 365400430; 165267403; 270668493; 110688632; 746841988; 826770218; 584808155; 629840771; 959857660; 571115888; 419783503; 264771973; 559932797; 713272185; 327059055; 491869853; 126870212; 943624357; 341523760; 881776263; 197709695; 563533211; 161991913; 596081138; 936847804; 880883051; 763894956; 649991543; 202432193; 981229383; 566540972; 697875864; 549769751; 584793347; 87872993; 437187257; 498951566; 780374348; 812494860; 198364843; 112236126; 4434574; 26308296; 284809245; 644265592; 716574721; 469809694; 47212815; 930293702; 769816223; 851524070; 974557707; 417927067; 988014075; 548894841; 944934471; 534380646; 916201076; 507742046; 183344156; 555003962; 730731882; 338631254; 213456991; 835848787; 463135004; 163719207; 547583795; 172018018; 551463748; 798642454; 241294735; 912689910; 327531143; 874208931; 881209635; 927979016; 155973364; 382575366; 276507351; 717305005; 235255131; 417722772; 301679359; 238171167; 196467628; 991079336; 355352441; 870684474; 624157850; 58826251; 727523258; 571358482; 469433131; 381156092; 918402430; 579019735; 123760131; 749017982; 7902194; 72020105; 17229512; 848595009; 296674496; 789046217; 926955835; 273930538; 18623572; 716460555; 132658981; 955901730; 28370841; 845380532; 517777163; 792371242; 680710926; 249267160; 364122774; 134338990; 740494115; 173915097; 659543286; 1485915; 352617189; 849143308; 35220108; 358992585; 483078019; 750079469; 50382622; 552232343; 47514277; 744390590; 204165518; 273089341; 949572632; 537264966; 802513036; 992183283; 563255606; 234650509; 965216042; 469195486; 743664524; 297681891; 592837399; 381502985; 401408884; 573590229; 69807257; 789857387; 234632127; 892790860; 987228509; 562062125; 353072107; 303513245; 508343118; 861457663; 691259846; 408040444; 105499650; 975807021; 833229321; 826704432; 231459788; 110374165; 359794964; 795020559; 885788309; 944409392; 281026772; 717644537; 142959124; 47344550; 397053606; 143124640; 331699547; 947549452; 302837089; 42070615; 634262406; 264289754; 545486565; 711066942; 795044404; 322583336; 723693266; 717523301; 486716260; 262864483; 403046285; 252218198; 455423920; 70131662; 183838862; 151325702; 771592565; 511425883; 478537264; 836619313; 436473956; 514921220; 979889841; 213928783; 512405017; 638014610; 337357992; 303167201; 335471463; 234275375; 722551790; 97773847; 38002053; 263456329; 439480896; 402944023; 180297267; 134721440; 170909688; 508346464; 251469673; 145287981; 721450817; 838861921; 696240752; 326178725; 51109783; 447139878; 921621522; 628372391; 448278910; 38552630; 701141761; 970994769; 44155232; 96112281; 790563874; 260165122; 698261937; 362410678; 656409726; 978379578; 177760713; 367373710; 204255750; 59702440; 99688330; 438494480; 806598393; 190953048; 350801135; 42704133; 725137975; 32150981; 413273570; 25375826; 381388630; 80106413; 640908171; 689781470; 348988253; 745813771; 573398239; 67501696; 713778019; 995042047; 162470258; 54748706; 710379897; 507429422; 643332074; 969025571; 217696222; 27342122; 318211121; 915210972; 611154364; 643439001; 959481397; 433512782; 826934947; 161178457; 72551132; 753420119; 771258215; 850001796; 450179159; 607495265; 497969333; 418343914; 881995633; 11545807; 804327193; 387454741; 148522831; 271320338; 875179811; 875197437; 727507637; 522804663; 3446556; 514217354; 818476421; 359153621; 143607968; 211916325; 612499820; 85604557; 301288365; 801612197; 964974767; 342097550; 538901963; 440973359; 807146163; 80075582; 320052621; 979660077; 397206430; 62423570; 248533194; 927327549; 135964089; 317354882; 725939951; 449709189; 991849147; 302323154; 845445725; 877710623; 48745123; 281960231; 351901037; 394776954; 877097293; 652275962; 839063531; 378191472; 581997797; 282350815; 265370047; 905611198; 710594388; 158936117; 865801692; 866585384; 390245912; 787349240; 500075554; 453923759; 782912311; 371759605; 388331703; 814279542; 689597862; 611375634; 103378527; 714982719; 916251166; 299014930; 912761223; 946612162; 100484425; 299860204; 493794850; 27972709; 574551456; 135006052; 618085924; 889307304; 563797693; 897709078; 76787998; 267892918; 335610078; 181719055; 350076104; 805118734; 405784662; 575796573; 950324999; 498749742; 15908423; 678607014; 158693669; 387340010; 743336020; 205694108; 658260049; 240773263; 567519358; 733797760; 459076840; 108551197; 551842044; 821441194; 650986461; 450357785; 792989760; 32620599; 182038843; 670129088; 126427264; 418769502; 444468600; 43147711; 652638983; 610421507; 49792595; 875380084; 695801476; 726743202; 46818457; 853602206; 188362529; 464197583; 177407883; 893033934; 980403255; 759397935; 16588686; 796941254; 168145411; 552900316; 590180409; 389212311; 760147014; 914040915; 255640206; 964621421; 314041082; 301159850; 990913388; 823242406; 224150399; 511663028; 83794996; 725258912; 982255769; 387301512; 61044918; 604206715; 6560635; 159003373; 876065923; 446458685; 575819420; 595707192; 515396707; 977399506; 46243335; 678188680; 861252723; 295499368; 2403139; 59428282; 978041180; 841329095; 838569452; 172413884; 686592205; 364878866; 903413213; 540325791; 628297897; 659994300; 14327929; 92242101; 704084998; 563861770; 888718518; 486453265; 843416941; 923148550; 596845218; 168014666; 937261383; 434164362; 460076957; 504638254; 781029187; 500031230; 192344848; 905126583; 801164972; 36962633; 799009782; 714834576; 598872362; 394999835; 708517593; 333901620; 95535125; 952630806; 27608092; 293135020; 494720277; 133660921; 957123208; 257324240; 413915064; 130731254; 442856784; 303012228; 542439690; 735719642; 298099117; 200171449; 736276902; 872647012; 990034475; 62094518; 325971064; 41742423; 931395718; 989550689; 773128436; 759777896; 890389535; 35777385; 143149843; 405263773; 437817131; 676086317; 998863129; 77826230; 75452282; 794677396; 905163618; 255901761; 621933811; 260169603; 660151089; 251332905; 578717666; 881444813; 615405590; 123720284; 529124547; 770526156; 993872760; 484469853; 572811385; 732782192; 258758951; 732396703; 828635931; 548055559; 888768533; 727443345; 566718095; 677814307; 227924775; 190101187; 243210363; 359218445; 214159932; 813589143; 896351428; 708242100; 880178317; 511402059; 228707181; 678425026; 936587129; 928103065; 643237395; 679554959; 245576905; 772031417; 499476389; 637959694; 961913239; 883745675; 511961423; 989622873; 98185944; 552152707; 455826834; 458043980; 963808855; 975911847; 746007704; 819155874; 878642872; 695738095; 618663713; 949279228; 980100962; 793310588; 121138824; 769838415; 339332915; 694724109; 23758255; 841431865; 813624776; 899607254; 943905277; 938634110; 684112090; 110543979; 146741571; 50995361; 293070168; 485327105; 308561943; 757296883; 875128196; 96792046; 269805462; 735719240; 87242995; 644878879; 316499840; 369383257; 715063590; 522365187; 69370398; 628879089; 403054925; 929626750; 674766610; 172236677; 794064729; 604488596; 922916520; 72737291; 741891931; 972622550; 402549104; 786486198; 287508226; 948988935; 113987743; 582851672; 449940500; 763087817; 367676502; 195273923; 352049570; 24825186; 141433577; 838274923; 596323450; 471562200; 517569326; 760050218; 28926339; 778042322; 546981570; 127491680; 862255330; 29867446; 394065726; 195911953; 781401443; 504070639; 419382622; 736500216; 750644628; 776402254; 948438021; 550482791; 183683835; 374064047; 264930782; 996142570; 462216985; 159698236; 534997270; 957659958; 652435467; 385282047; 632702530; 686636003; 496329990; 588308517; 306167660; 915276882; 660264085; 261206539; 529577767; 526043379; 960527825; 371472137; 143676938; 468687928; 763070459; 900326149; 747698078; 960890996; 659972215; 640638845; 932279137; 680389901; 432892663; 962683918; 236756674; 778051773; 956869579; 1864928; 176042658; 941338650; 113407588; 598546948; 221292248; 862553852; 817497039; 876630419; 588138775; 486586696; 530658755; 488754115; 925026579; 748713072; 951595903; 141495507; 316806354; 262928959; 686156531; 577060825; 620020764; 55122958; 250923065; 151216116; 69928311; 503298422; 658333042; 357841527; 229431227; 600298001; 996265243; 584895494; 318657894; 879571698; 896795154; 886208711; 289896059; 434529256; 366654896; 685369052; 10158723; 909205214; 763208513; 652782790; 971484869; 780369892; 617642165; 223842894; 135471044; 150643872; 588884754; 916035068; 773790979; 658913006; 348128187; 835334282; 469632201; 896883549; 225718400; 930694631; 548746683; 126220038; 683787517; 412506219; 233298896; 167805799; 337681339; 280224351; 667844210; 773517688; 63351775; 987180971; 321854021; 923154014; 336248902; 900068433; 303905794; 161353114; 938345246; 41175877; 416314606; 752708250; 475789286; 632730991; 229233958; 740533274; 72765360; 70184957; 306187474; 295147514; 845469061; 699516525; 967305005; 273040619; 234392177; 518780922; 993147839; 34470897; 430058336; 965412926; 155696676; 905855881; 640023894; 692195872; 547009835; 640942550; 224326714; 721935623; 714643218; 722088582; 873585914; 540273932; 473874320; 349040499; 117943897; 687298970; 741273642; 989936930; 202009241; 438385979; 623982603; 44218362; 849356684; 368584983; 257509090; 41556264; 703173890; 397118505; 489176745; 94049903; 830648559; 237843559; 156503529; 958454600; 211394390; 81836913; 563888047; 164872458; 550543095; 548873346; 469194972; 731584198; 557556445; 950902226; 604221875; 263103555; 41203706; 703440297; 815560508; 362997023; 47327310; 213268570; 198239150; 686234695; 828177661; 254018183; 847755255; 561459186; 109893133; 527528842; 548232939; 996215599; 381073207; 47310263; 778461447; 724775851; 137464861; 398507028; 233902132; 922365606; 443949593; 753912916; 293083426; 320370985; 165333391; 883445137; 990945525; 728536063; 249591004; 202500290; 604698034; 264843630; 775305845; 100598745; 413088633; 597646407; 509158444; 257792266; 107649747; 409731741; 22114873; 119007590; 135556896; 485923556; 482017091; 61925401; 80733447; 521040661; 960358823; 573433162; 693326284; 587229693; 577398563; 770292102; 442548455; 16186533; 815007675; 979726830; 11419931; 918322745; 222591662; 149499837; 692412536; 609644521; 666979184; 14307163; 667354471; 343122859; 948228710; 666778160; 261443494; 340746107; 901511799; 109002019; 773147263; 45977041; 423016367; 853863415; 820303653; 123329754; 396563912; 371167663; 5174532; 591171828; 612946599; 655823739; 799022885; 221543722; 999025968; 427023907; 616779060; 543906488; 964900222; 766265513; 341183172; 504675079; 733475147; 618991188; 684419770; 424705378; 543362883; 486796195; 755850608; 319341040; 28895222; 493750344; 127371669; 586559122; 763184998; 850335179; 745631429; 738964534; 724601597; 535927203; 599840601; 779771727; 86462472; 523342504; 761368795; 727686122; 293606588; 979292766; 229750365; 562688691; 808116415; 293770669; 441142124; 663284380; 250589369; 122452513; 533741283; 632056635; 973161809; 825678961; 737784484; 228636052; 70787389; 938786943; 356478742; 497536600; 905171869; 576763735; 668168745; 303524093; 13728102; 568475085; 130340752; 151682600; 122756996; 774706136; 68116481; 11078552; 311623321; 796971660; 802195981; 714738303; 732069753; 495482396; 82680899; 723178060; 920016478; 660359656; 284338357; 934260049; 750233210; 442501992; 145277922; 787106515; 556983803; 913098816; 160657621; 446512121; 838272604; 542632262; 804053690; 131442646; 705329977; 213468155; 764236929; 320877037; 381665354; 731189516; 628434050; 592667030; 766967476; 728109825; 368906849; 798029692; 420832609; 632033476; 800727529; 282253708; 468786234; 95777256; 357452923; 270480590; 754484317; 468231130; 938856586; 897804419; 533195164; 818633313; 323041572; 92406074; 7348017; 624860376; 496061253; 925290011; 955328203; 198946938; 322323360; 124747525; 190819177; 22684122; 499602772; 419448565; 641227954; 662172938; 703467210; 1852176; 679402470; 766491616; 853870808; 373406034; 670829864; 681511546; 205518726; 326725184; 275818422; 304521169; 862566852; 765511949; 59425234; 547890217; 916634345; 260341415; 708066847; 641490687; 104919555; 314952705; 150133418; 736205191; 252950931; 701605690; 139056781; 143679253; 687959433; 349525669; 346385928; 147660628; 700838464; 767943134; 671065992; 751008901; 150929656; 269609358; 535064972; 99766405; 848970262; 264371149; 335796848; 719218818; 9940227; 824290150; 986114192; 808445529; 424904670; 324279123; 220351840; 324290984; 833970024; 767665757; 559241827; 185165582; 140601521; 371780144; 793231567; 19894892; 430883585; 699991969; 889057858; 78929471; 149634271; 135069669; 120810408; 935661469; 683389647; 959037732; 778754578; 400424986; 817760206; 280428126; 214201670; 669318707; 714734433; 97333924; 384127674; 345122746; 141818128; 541931210; 985551490; 462789767; 478669034; 532793487; 558722969; 864795904; 725225090; 353538775; 926719358; 436671202; 591282431; 162099606; 998505748; 128994065; 908107409; 235558687; 585367523; 687337610; 977404339; 402638533; 710941136; 752780150; 424407648; 874828482; 919367474; 109746069; 619604742; 842015298; 534573590; 277644816; 776422371; 44957069; 153150338; 810400200; 521917051; 395006583; 640896140; 732232983; 11586803; 753322675; 599272868; 279864049; 695356348; 380051579; 746256011; 184162653; 818432170; 378633177; 527723407; 438043093; 425184002; 248857035; 240253943; 544859581; 974319774; 610800957; 995837925; 967977540; 241841313; 707513632; 770945505; 2773393; 617972447; 524660504; 986559697; 614537706; 109843413; 840751530; 800274315; 879427851; 636959428; 464854741; 752595672; 600003994; 56520576; 760893470; 136306590; 876395109; 692286217; 502841047; 423380576; 61090198; 894866861; 560995886; 214348358; 39884570; 712571316; 425079536; 694569095; 704361322; 877671755; 831089344; 159204254; 848018792; 330229320; 965656881; 690165615; 985303270; 767209802; 696087630; 904657214; 142984579; 542793650; 715330369; 414910452; 250382445; 42810572; 986162704; 990023361; 164643856; 101797138; 602476779; 336642993; 600318339; 313830982; 236358810; 205323882; 638712614; 771922573; 588916727; 845136229; 536523287; 192579719; 841630137; 217180380; 119603173; 833597815; 292095677; 320102446; 14905830; 83603725; 186390955; 725883945; 400795847; 144232290; 211174276; 19969981; 773005708; 231197211; 793221499; 110039785; 255782499; 229367973; 379108767; 135023214; 403590337; 766536063; 318087147; 437306221; 443159520; 53231197; 187914733; 186485914; 947430477; 824880312; 99845325; 586310739; 147880745; 757689942; 480225865; 884196104; 724458463; 437300611; 528418070; 794761615; 81053361; 260935829; 433993397; 486730705; 409208184; 227898548; 166952317; 326203202; 804441387; 970435240; 213109729; 299376038; 608484533; 614086434; 569726618; 642417041; 939807507; 501528654; 521631135; 642174676; 768013133; 32664160; 284562482; 463754885; 528806925; 734919163; 474628748; 601194090; 249544527; 771510533; 645822504; 219348256; 308851395; 487048350; 354027557; 529222429; 233041875; 796744258; 344722296; 54456119; 966170966; 444614173; 106160788; 92379911; 542153412; 932589788; 21084285; 66689461; 435968342; 284961973; 294348860; 302741628; 545766375; 274948478; 658770497; 372058635; 389839982; 814102898; 763128115; 553904866; 794171112; 727875519; 317183668; 521352642; 580884019; 830802225; 985392151; 797419239; 629907440; 637403157; 418749339; 261634107; 463480826; 374311457; 479057829; 140194937; 40370952; 300461749; 389921145; 282864210; 471704331; 622484842; 907092139; 919889922; 887950227; 85008962; 124813194; 562004291; 897476454; 993609390; 404455091; 206455668; 243914991; 414149464; 64360883; 318681081; 848085621; 681839858; 967338519; 318545130; 458081651; 209603701; 917362653; 564129151; 833454844; 58462927; 940068900; 833518678; 220223820; 339608426; 391518142; 299640446; 769413547; 495099294; 401146699; 507155190; 118029580; 735427658; 677145253; 855991427; 277340214; 679562578; 826011061; 266456921; 265927684; 777632559; 810447415; 643970436; 372767736; 321921330; 451658917; 867577908; 181474705; 683271196; 279862204; 789125808; 298236469; 986691883; 930082443; 232896174; 298169652; 367684932; 318634145; 798891381; 98818838; 705157878; 167773018; 75154030; 202385048; 315947231; 735818772; 806517444; 330913934; 797794677; 396553846; 136074564; 101598923; 658865658; 351358164; 727537208; 925896815; 73336052; 316107707; 616332995; 929450055; 994943597; 997132741; 723060435; 320006446; 374771345; 335247825; 834151687; 498083513; 701705956; 386598606; 302167781; 675221844; 675117933; 578222047; 737243707; 704885387; 739217281; 809988831; 390797612; 745954865; 677885937; 391719278; 666004980; 642750899; 454836291; 964117552; 762298815; 535051889; 79469651; 135488966; 935527747; 728181968; 598017374; 232778268; 819798847; 701308356; 657166794; 647647231; 376664798; 300645991; 741459030; 861564258; 710762354; 50971726; 329060413; 324196205; 626600453; 608408865; 772816592; 407112287; 376708593; 876193677; 886854642; 74760775; 35784394; 712288626; 643612706; 437347958; 592694728; 578940060; 390272813; 541448221; 875382927; 457952254; 322453710; 408058610; 566599132; 18886587; 743645638; 228724009; 738709622; 850491059; 744659002; 294186725; 845792042; 925495606; 153124415; 287462864; 794054943; 195333208; 322361003; 572593617; 86804752; 66769471; 132085725; 308606842; 614117544; 361700944; 256597380; 144681895; 272949560; 6859641; 307359239; 533564250; 496470802; 551335910; 433102387; 45805144; 885594589; 455145636; 32686903; 34556333; 176412464; 884193066; 482503837; 903104170; 442038892; 37281303; 253761603; 419253466; 966537319; 439651181; 228478121; 804736847; 199182714; 309477271; 815705171; 511124741; 135187980; 53348787; 14619523; 389280165; 588465017; 304942713; 108788547; 572786800; 331692029; 118166083; 533690604; 962043242; 530590007; 211766443; 995108204; 317883054; 446335474; 13653370; 151359685; 43405803; 702208488; 474292709; 866748661; 410157439; 311602955; 642160460; 587369861; 536644904; 440559880; 894780571; 79925606; 837947309; 905687497; 253322863; 268972503; 118232929; 645801423; 97235104; 380554238; 395002598; 470194092; 845062624; 520119405; 50649832; 481785253; 725124531; 938125894; 391603298; 266153685; 328188582; 472665690; 893333876; 86934475; 174029777; 454087773; 874963800; 991495711; 224468844; 872581620; 651803981; 523586516; 508438322; 823886942; 816836362; 840054325; 963670520; 900145393; 337063505; 333570810; 182227852; 486169920; 600941438; 349268875; 156123866; 136390574; 773664267; 890005139; 945843524; 618995132; 848920491; 152661243; 982385936; 363201339; 530140041; 32290103; 93273673; 559952565; 632851955; 915567826; 556840431; 458635736; 830120820; 670525962; 504513389; 389372953; 718326486; 612056870; 665752457; 211491411; 846779777; 824718181; 495924958; 692398841; 959054757; 23557249; 414022349; 814350440; 425282957; 80292023; 199274393; 224843545; 246520811; 206618574; 992652418; 612469681; 408484592; 376838628; 38405177; 778505846; 151771996; 904547726; 19727132; 713202228; 989466118; 430267299; 977421269; 691089740; 376751903; 515990152; 650376375; 861894823; 145115471; 55672274; 734369547; 964193207; 468953012; 445495317; 535704766; 408699544; 166283998; 139941389; 237212303; 447265928; 616581199; 574107788; 649982766; 883967291; 36274920; 627580659; 997115144; 737259321; 84091577; 715916418; 900775314; 578508115; 208560649; 115498904; 265565893; 719720048; 748950174; 327250058; 106475586; 212863650; 622778591; 30337435; 907043881; 997311675; 834291850; 964202613; 507767464; 829570922; 795307828; 494170145; 108744165; 96938833; 513387679; 461489248; 696110062; 170139187; 3227602; 188419447; 496815981; 857654973; 259949843; 360529700; 301037714; 210858298; 743934717; 766306082; 743378069; 882730339; 502774557; 819756889; 639263650; 20626285; 676808621; 20354810; 641918017; 736814330; 59789319; 376067608; 358490539; 469175327; 63404781; 504772403; 586790040; 565798435; 362711253; 752184707; 951541265; 609110988; 463690330; 755539008; 78066373; 673193711; 139748648; 636283218; 184106540; 267258503; 15263995; 601958933; 781284644; 494561805; 287653110; 590253963; 505752075; 653929099; 127063079; 589447023; 727395196; 730111825; 952375782; 248930184; 749255835; 982449204; 747599487; 870611105; 360968813; 552874133; 201539611; 594720335; 346599828; 401045034; 453592701; 86757586; 952272348; 366218126; 519317258; 170437409; 509156379; 8129882; 489170057; 510178445; 542872261; 983045333; 66542734; 179668892; 182339457; 286072885; 522541154; 156717941; 436268971; 981623728; 243445503; 795015877; 43936776; 625331171; 538984196; 365219156; 980305313; 101442336; 962398703; 429336051; 253548586; 353754098; 864657896; 663626869; 22800267; 221718636; 842227589; 904034798; 662689385; 863239320; 251478649; 83530103; 267225908; 504095527; 366659290; 986917293; 378949772; 573918055; 804074442; 28963827; 877801936; 134114486; 683582861; 986964220; 910531177; 455811316; 412804165; 952817834; 878699020; 155980752; 791532949; 621904697; 343576206; 162766437; 5607776; 553591409; 461501391; 47614227; 778357318; 483128717; 159409865; 838757241; 332130875; 338431934; 279874014; 111336782; 230379611; 145468718; 666095199; 582843105; 138164651; 384220008; 224690943; 219604087; 913653740; 266555964; 32825627; 675131353; 68910217; 812466110; 407644144; 733609521; 313197533; 670180321; 291282653; 851322428; 842607525; 69158326; 644683224; 895320340; 196982786; 235702588; 24974190; 788372399; 408003321; 126442540; 359616978; 611354299; 983763378; 446134050; 336699380; 616577570; 871189094; 326474133; 810492588; 909916585; 395807651; 916566056; 13413641; 89832354; 799073494; 110348738; 938972123; 470874532; 964750208; 854265487; 660134753; 708790854; 688918173; 138891916; 886382749; 223659308; 329224850; 337793546; 429982678; 637264789; 236351526; 179134911; 641404727; 813049033; 897176197; 796695739; 446597720; 750385352; 349207654; 370147998; 145231668; 90937993; 692660077; 895878886; 848808502; 739870579; 549181382; 178374293; 449736225; 47741791; 77945718; 370737785; 556076713; 208643494; 429788360; 32166231; 223354216; 17220225; 774782561; 18161840; 626404037; 326918465; 21158233; 289135566; 678438564; 465378370; 457159316; 273108098; 533518841; 269648071; 706486889; 475718713; 388581831; 69773757; 312978516; 234047424; 551252908; 768791974; 290950419; 128361396; 221288489; 771184635; 109991697; 59034412; 646574489; 663064871; 134020825; 900619915; 646865896; 314854956; 482429410; 863152067; 334158461; 100422004; 374804504; 575883956; 939347278; 697044614; 563802389; 551073818; 68406001; 80560985; 447397234; 46433886; 361793631; 9922670; 510111369; 566426459; 640523265; 983318793; 831528365; 637846054; 799921018; 989381502; 925350665; 205751204; 349294927; 950764778; 960347811; 74932193; 754959053; 953937891; 431377926; 599696603; 934568857; 69960290; 673938518; 478937548; 876173022; 947758506; 368878899; 239193094; 859414828; 670428817; 590208953; 966311952; 366046174; 238501698; 758610045; 175376800; 497086777; 353332811; 690645448; 373785761; 62249379; 263910698; 41659919; 768985816; 259526346; 581297435; 9116755; 719734226; 188398697; 978270757; 199170175; 606529753; 346838945; 784158581; 186420207; 140893477; 492586742; 702559751; 507887020; 582854242; 842813212; 58516652; 451599527; 609065459; 755882003; 233957277; 576993846; 85620898; 74056383; 288521624; 646341670; 247577538; 336048000; 163310897; 607926585; 948549899; 195578539; 787853801; 841921349; 504189152; 506939826; 85190012; 52902058; 308930491; 961700861; 790508361; 204187681; 544832705; 212112639; 621873681; 819683184; 784174519; 59106329; 925738236; 689909544; 231501733; 963501959; 934153605; 40074772; 664380679; 118367355; 839889348; 509277770; 8847783; 136655527; 493080778; 392884551; 488214790; 73740874; 228863003; 979105535; 713021563; 509867357; 704064117; 663027828; 800423748; 545228551; 580665472; 322418656; 977245905; 765248190; 951015523; 190331532; 98038073; 289472084; 774789763; 809720008; 360769345; 374928879; 799501989; 613666037; 328362611; 977121845; 279586948; 761518660; 104593005; 428596923; 500966732; 122461611; 133416156; 531369538; 441579339; 561087057; 541401335; 484551478; 962933909; 68828815; 936262422; 245192795; 302108729; 574804815; 736772182; 534283273; 164177857; 25870604; 951483887; 588166945; 589931645; 975390755; 872467997; 599678330; 464797505; 817348087; 376252548; 176091685; 989508962; 574577914; 959741275; 977829102; 181920390; 770240365; 535067416; 508163218; 472321680; 591967885; 726403076; 470480205; 892244149; 745115632; 809117891; 840869599; 522610393; 39366727; 621260115; 717342009; 462326160; 382647137; 144060920; 576714448; 347349925; 300746360; 149577339; 36076501; 361008706; 249020640; 980626600; 636806777; 474857013; 373943378; 972747975; 936227862; 782525928; 520855724; 706109284; 724031189; 621285377; 793941717; 594439918; 596022720; 423053126; 715539454; 658023840; 981037499; 900853822; 593076953; 312938548; 621751578; 128577187; 868964449; 370300345; 204233601; 759407020; 730487272; 939429511; 760360169; 607099419; 234153769; 794403822; 973717478; 712319924; 825817032; 797810328; 58866618; 728749947; 921727999; 712719588; 941390903; 502079886; 357537801; 34558441; 839903620; 737032587; 690314283; 184292713; 566645704; 748997692; 874448775; 895240876; 924336378; 163030313; 404514069; 755798542; 888128182; 230860570; 650351870; 859823840; 588641293; 963381129; 586188270; 325491592; 990348641; 550024371; 346105434; 54338953; 793847088; 590837772; 364789743; 66517391; 599678650; 404648195; 986403122; 400828672; 379826444; 93073034; 798202695; 948199485; 714822736; 420265248; 292025334; 852670803; 119652695; 6606489; 932703888; 522556738; 833677381; 762788956; 214181591; 315978937; 352251616; 955740766; 947441999; 30237661; 466782735; 504703568; 41764012; 680117786; 988670382; 349917913; 439230303; 779641867; 238176247; 323670141; 645509058; 43437344; 14838556; 662998229; 939103706; 972738981; 748044544; 713008489; 942955268; 35804957; 825012336; 831958908; 277297462; 656991762; 388517540; 94607425; 706921427; 839535921; 136731811; 701997233; 777391626; 380426638; 231791464; 364306933; 224630061; 985802659; 556848798; 260432290; 616502258; 923805925; 802796589; 602764088; 402465867; 108075762; 578459907; 411352971; 638461704; 819914019; 678700331; 119248952; 730903122; 577979127; 962072683; 521973496; 729988248; 541877104; 913177136; 400208668; 347035522; 529595463; 251424564; 533313977; 22475977; 106957132; 861872378; 995192314; 447261267; 658190210; 532692232; 620227724; 566026272; 24116753; 998333736; 11501490; 670680749; 329768777; 149715320; 794868264; 391746953; 330068789; 307322419; 249174033; 394267228; 233279729; 84287000; 729892112; 124624239; 682906059; 551094950; 716081689; 355690625; 67015773; 895958517; 144628419; 814004160; 983335457; 216952369; 714948515; 655707309; 849817174; 515758708; 92191059; 246444143; 242776055; 801707408; 967120967; 536171252; 285719234; 198404249; 497392979; 72219855; 973161060; 173184891; 71824281; 856813078; 827102161; 158013431; 655185139; 846195372; 850895874; 986407185; 987852535; 341770458; 247410980; 566673889; 96060634; 646113030; 76480317; 784602436; 735448001; 914843745; 518308140; 919120788; 973740814; 653853583; 390656106; 561738876; 414030318; 801746413; 868651505; 406778313; 666991066; 336058286; 242661779; 174787314; 354954591; 523429725; 334257202; 805322691; 497841642; 423797828; 335242058; 514620193; 779657426; 458600046; 56503647; 741670705; 702436589; 904185919; 458162468; 616550242; 566505940; 320146058; 634233842; 892033784; 677431498; 329374425; 528469945; 101644620; 541245319; 362323162; 862548172; 215363395; 339856918; 769333535; 465965061; 521366376; 798224113; 603007989; 283873806; 652484383; 85156567; 253390545; 566617675; 144777563; 388755797; 829554604; 795086383; 321652635; 152023942; 337516377; 182885998; 289843418; 833943168; 78822898; 619646641; 925518432; 418386802; 878701817; 113022893; 768488409; 847597656; 500390984; 973929644; 611932748; 861971546; 409973463; 682697733; 175075390; 745062616; 734111998; 659729631; 85827156; 470581355; 317215293; 685419000; 850245144; 512390821; 623610047; 197636379; 78913203; 184307390; 445651469; 54216151; 373746002; 814057587; 636993994; 510301635; 75169271; 801241368; 521360958; 155608949; 653318400; 735070407; 882112988; 234904159; 707451243; 165607957; 18298824; 644464980; 836669301; 458572658; 863379402; 607893209; 303304990; 400711305; 350202415; 772711671; 85562967; 520417813; 719153116; 801880482; 764952491; 905686983; 46800229; 362276183; 793320715; 942622583; 28477967; 483867128; 997852191; 770683831; 824162142; 686420546; 21006633; 83914096; 109939866; 132575583; 857850770; 954124235; 379303337; 464609206; 738524200; 255374020; 781768297; 387360208; 527124036; 588280960; 217926332; 669759414; 109806802; 293129429; 588011701; 369938881; 536412684; 600306029; 264535428; 177108850; 397315142; 288419401; 435139305; 368733747; 405435077; 574219769; 428458307; 797372882; 678967488; 684473439; 979571950; 617514840; 856811950; 43683265; 515404807; 415550465; 341147280; 483764641; 688306296; 190147823; 603025837; 663537828; 503734429; 272195385; 84295341; 524441915; 977981106; 274845540; 935186661; 929889741; 601703154; 282942465; 832373333; 286194255; 118850994; 159245110; 747869597; 592498920; 705017285; 15672379; 476278257; 196185957; 730175958; 239299541; 850975211; 165931132; 232159600; 608582730; 219106843; 820085563; 928101393; 547071346; 135459848; 111064620; 578150358; 669865282; 762777801; 137546177; 921314788; 279166616; 913418356; 684362628; 421568778; 368481929; 767024213; 405888725; 395518758; 521606038; 97275232; 88502510; 884572837; 461028363; 710582613; 196720887; 122571153; 26827230; 522520046; 700907017; 623668052; 65624186; 465615059; 23740015; 288068727; 161130849; 633996895; 521352717; 891914162; 736717189; 250904272; 188093774; 227979479; 805459651; 826472644; 591963918; 244324070; 546228642; 94967459; 819934443; 160123850; 213324842; 197610859; 185961750; 534171404; 831084729; 525660906; 713449163; 52244499; 104916178; 704457237; 497315992; 804506785; 991307728; 505725950; 161097587; 254634232; 964977009; 859797017; 63919266; 199242516; 669995827; 70395628; 407226633; 646801574; 852846786; 134819584; 968511605; 578436727; 113465095; 414130209; 219556131; 940065303; 550110580; 518664680; 533739764; 654827226; 117333355; 632415088; 221318246; 745153814; 578810069; 665043401; 212844218; 589688770; 1205503; 160504413; 840689855; 234858627; 654189047; 61011111; 906593389; 237108709; 914848934; 262582740; 195527104; 928644740; 303752501; 342327150; 630261739; 975170849; 235251731; 545752590; 352613047; 492175523; 12261076; 497195032; 850200854; 260713353; 825829736; 257477582; 589387562; 928405293; 206157591; 949181802; 360849585; 46741251; 295170199; 706295111; 533005651; 913306632; 430406394; 741165857; 80021536; 796900536; 120961904; 945295298; 503699377; 823026863; 864076956; 145683753; 163558109; 256599978; 422673187; 447914234; 142468997; 31147789; 818965358; 594543813; 296303157; 249567419; 363369253; 338085283; 29628428; 356155356; 51345863; 456529078; 454784804; 698937652; 585822628; 74265788; 175260154; 458538002; 230939120; 232923485; 469548796; 838239513; 96086155; 628023891; 227459915; 425460631; 993421207; 264262663; 275206241; 172747344; 151804428; 565451014; 89812929; 490047659; 432136891; 705658100; 822208812; 771627003; 947267948; 33541487; 639644191; 613739182; 236816760; 748852163; 601725339; 269944973; 92981780; 215717120; 773829412; 803903030; 577144986; 299162002; 962516923; 801058070; 447283735; 863351163; 451532659; 706986630; 202514234; 281319266; 754320382; 142719597; 294399743; 549907959; 640829798; 909892845; 302510270; 939178705; 566223859; 80213564; 88440945; 373137426; 351286323; 862895698; 918248913; 849726982; 180089737; 173106597; 410742198; 432492815; 661614304; 547529598; 983521541; 198071539; 126017389; 370338220; 541782419; 218443222; 830989933; 352969273; 387380376; 140055440; 841195049; 552898958; 166452525; 560206661; 829341339; 753650047; 123074525; 628131242; 332790821; 840548027; 72009381; 384904738; 609014728; 96424802; 460002418; 595243342; 837870170; 69695324; 878134806; 544095881; 61215947; 503654930; 816059001; 619468219; 276779715; 598800030; 897738735; 103810351; 93089515; 714224793; 881448085; 371175153; 843733907; 362560589; 20289362; 620895065; 84695449; 869708050; 675467852; 129037906; 382975751; 625823232; 356284245; 76015016; 327012849; 436684624; 141933157; 803595559; 327182174; 537684153; 781397188; 77662475; 420165865; 700286416; 796299995; 320951803; 731905165; 749115377; 984320390; 393545864; 624095621; 955450889; 489947084; 236203250; 80857222; 470995416; 951285508; 787951557; 646472072; 761708369; 812139984; 788466185; 31384586; 839766709; 562775948; 139952842; 919745781; 820719003; 706596706; 399043067; 444197511; 575249403; 312553277; 796552355; 325460064; 567306718; 482185227; 898980249; 223432726; 899496448; 621613996; 350837707; 965679026; 487872058; 737161698; 804657984; 408251822; 783478500; 337445798; 555204131; 735108006; 766183939; 209973681; 372720545; 571674581; 416301187; 696277719; 163534652; 999818146; 30590342; 798589899; 694460848; 655814183; 244366492; 906589106; 610862786; 356838282; 926475778; 937122236; 459395723; 452086887; 588973167; 986964719; 724940159; 522712810; 808932525; 916436498; 776846029; 311562741; 242803330; 599380320; 725446071; 23527501; 60421952; 227194823; 973365632; 106210932; 327262111; 708491323; 741124486; 547238252; 475699520; 306510071; 359402814; 344777535; 204543331; 162599917; 491636895; 530685425; 914844145; 880792222; 853366643; 76578823; 214209159; 423847362; 537485380; 683016635; 705096175; 244533398; 966239035; 776000687; 240691101; 588731100; 541684456; 688172583; 121664892; 587126223; 132445809; 834711812; 583908185; 919947384; 381015076; 662856505; 459182314; 736962031; 106640340; 675526035; 951509132; 823697235; 780974982; 252259208; 719029395; 887690181; 200965479; 535180573; 411851227; 323830535; 470094292; 597218120; 857679632; 352157050; 223935420; 334915641; 281997926; 163353768; 38734013; 825453155; 718940329; 8894949; 43398744; 322438157; 467639557; 629607849; 764612699; 620392049; 636202752; 692796995; 493952614; 588475927; 641719531; 745731048; 500883891; 957185974; 211676195; 848581709; 705847154; 337470133; 368884221; 386404580; 800215375; 355322806; 472879812; 154798360; 900468319; 970839863; 520786401; 216812551; 263838503; 472833607; 932924772; 398018424; 463334328; 671492619; 585815892; 223362314; 596263207; 263536048; 751186654; 460313819; 459759862; 793458978; 315934395; 410097766; 278863467; 721237419; 543877132; 860850304; 824053240; 281103572; 180739911; 520622343; 948181537; 44061155; 329406026; 338418155; 414983035; 919201749; 490882694; 97030014; 855327287; 516933976; 483067880; 281127190; 774444700; 911361611; 355166865; 323963799; 719114777; 480826569; 814281471; 560821782; 880389161; 423475300; 158387097; 821219147; 857069543; 942343282; 541211718; 742509905; 565682167; 306730301; 920437478; 545348230; 78788805; 15028511; 32353416; 611567357; 805587935; 57927175; 905287540; 719098155; 863122272; 911582827; 201907424; 596349675; 131811626; 978112330; 37621103; 106460903; 174457679; 470245255; 960035489; 797359122; 140608219; 409057087; 135655817; 533428842; 676024043; 581130494; 367129118; 850386483; 352174614; 576878962; 972849878; 341284562; 90193885; 844628504; 536644203; 314742620; 174242389; 647992802; 869317044; 239701096; 736300129; 395770260; 686276701; 495900547; 670036213; 460216635; 839481527; 982167539; 361086645; 879651012; 210755006; 158278358; 206501915; 39670966; 775122954; 938088269; 879076197; 476452809; 780612357; 836275479; 162467215; 154449238; 570108767; 517523912; 747041056; 919886302; 305429155; 647880599; 784800816; 537037751; 269123222; 752473138; 434872937; 127054663; 208307331; 674291944; 798338580; 872993269; 401172157; 31513175; 436215317; 94739545; 692244682; 142217625; 543687030; 779438820; 260664801; 278246468; 891315789; 777025612; 189794774; 247932195; 780769623; 962461114; 854533354; 353186769; 219402309; 266800681; 426437118; 825889612; 613862892; 172510535; 926733085; 767124053; 624930091; 282795377; 983304557; 402987150; 420304250; 470365548; 125109793; 942616507; 467659665; 725967424; 682431588; 618490700; 938358190; 748137126; 689737946; 4942446; 263020789; 911156563; 281590747; 41413862; 763724202; 168786374; 373541948; 491963028; 796476560; 380638949; 550618271; 366212392; 802540677; 935837858; 145813078; 26551902; 859908998; 741089122; 879324755; 774152183; 553397969; 522102872; 293403961; 496186193; 631764415; 268840672; 283489883; 411464941; 417291627; 619799331; 312625436; 46831119; 773932673; 849779692; 973613102; 992126841; 414905241; 853962336; 804524588; 656105290; 858541579; 110395939; 206785479; 829208443; 183957528; 662731055; 35781770; 640217982; 420058710; 658375432; 68313201; 818028128; 239760537; 416142135; 953810793; 651614027; 514216357; 858989787; 494487095; 735211620; 765594898; 117435281; 587467512; 590070964; 813815613; 402712935; 15804354; 573914241; 214613148; 389224738; 568673621; 318959288; 602779843; 975574291; 74691537; 959635651; 252439638; 458082297; 39603552; 437297350; 566696572; 983331453; 117707221; 145705636; 779143775; 103787887; 270487562; 913375199; 243993549; 548463479; 914311520; 672330954; 830288691; 367161313; 638779056; 637671261; 303322069; 110959627; 943604802; 256169981; 227095755; 852797938; 838255511; 320953904; 863953526; 14441141; 575279566; 652156657; 217747379; 640053737; 175095416; 726275715; 837783160; 787174557; 409652156; 658790882; 573847387; 563901990; 234563918; 346661955; 961591811; 548185110; 786115667; 863049700; 638957012; 255114875; 288038496; 467032482; 645092113; 285548672; 363713616; 709716174; 444432200; 349084066; 82825929; 335786001; 616960071; 94503766; 795986773; 670604306; 368981550; 962109534; 371121631; 978466398; 363776812; 147204146; 206603939; 970039684; 396604988; 825699245; 56015433; 268981307; 307848633; 218727401; 240449452; 672875355; 259329744; 633364459; 986812469; 537775898; 612099368; 948242363; 345422280; 64429111; 119958242; 265279604; 703981293; 728174100; 270394721; 241347597; 356142330; 392246814; 633952461; 80359525; 980557227; 13963311; 793218427; 773011997; 768939585; 160713692; 97359885; 600189868; 109537383; 141566816; 304099723; 410747366; 990859695; 571907447; 569525856; 160859009; 670484355; 94417313; 667780536; 211780454; 882817429; 939658049; 626881189; 85035934; 595811313; 119578134; 153477526; 348389219; 599139347; 810176540; 721797530; 45900141; 478292114; 472864149; 193745932; 174149504; 558550562; 336485346; 242936727; 797941325; 467779889; 67391197; 258002084; 672875761; 986502880; 803458934; 782388664; 658024277; 443439585; 637118359; 10708628; 723242867; 163909084; 190466057; 407304098; 344872169; 850881357; 870774508; 937426353; 746032366; 502326025; 507091560; 236814921; 118350398; 481434759; 242804907; 565890242; 190519382; 410660303; 588180180; 675786818; 722252171; 501379885; 234148779; 24567701; 460241959; 211612603; 610829177; 707635138; 495982828; 311356747; 676330764; 423686324; 210432426; 111667295; 532322683; 219051364; 53355005; 520742946; 677177485; 870308358; 643578492; 297412394; 361790111; 955721067; 465286596; 910137683; 967273597; 934646496; 848374296; 519076556; 827220311; 789421408; 682391161; 43176800; 373390629; 370848051; 263315065; 15886559; 564272732; 826186489; 210193161; 857009991; 693843285; 527193553; 980097975; 221732978; 368733403; 433713321; 400078335; 280043999; 396627078; 943522696; 753382638; 964705984; 439332446; 853231912; 322972353; 669093723; 807342982; 810615643; 213434947; 30829992; 647675765; 287910199; 693320793; 163599032; 553608597; 979987352; 981974890; 653222345; 299330987; 672380744; 287036926; 129620954; 376428456; 622849467; 591525864; 287801742; 280103233; 733202303; 542327826; 180788796; 178480325; 514037798; 243243436; 277296602; 583188153; 88015190; 617692891; 922350820; 689738783; 648558829; 909650186; 278357792; 99840689; 908065991; 4133076; 307386486; 524163825; 72061263; 999981445; 295494703; 823642500; 542062986; 64961814; 957708038; 184238574; 784326259; 53216514; 809426915; 641804990; 46852664; 420412893; 55772494; 815936469; 175592968; 841048870; 29556582; 528830101; 466328442; 376322738; 92636757; 295787911; 391760878; 834893100; 763465822; 720294276; 93196459; 902156859; 198773285; 220538805; 126924682; 212057933; 360608998; 185176868; 276048725; 991750874; 144127136; 93566557; 189186444; 477514444; 574352595; 681964141; 497737123; 553366449; 599682129; 979480401; 182409325; 833739461; 157961150; 8730803; 952392629; 199845907; 960144569; 735691596; 565130880; 969651824; 171198865; 16322468; 29402316; 751687860; 359039166; 44581967; 815367014; 131680226; 806823958; 177198440; 535040465; 997929829; 154269949; 950687581; 383218593; 225875551; 382275501; 387880351; 724419137; 810234302; 642549271; 700160866; 18954364; 643635344; 183207586; 994045675; 751660840; 365704413; 904391275; 906548375; 671881352; 425291797; 576231991; 180039557; 562107834; 953131346; 401378341; 142370840; 800468520; 398077556; 745693500; 483284968; 539154772; 314418625; 409057558; 486971174; 930523094; 509799054; 323276014; 284891457; 780601687; 783547720; 857462857; 735845676; 722312980; 358858486; 358472564; 718065027; 434985987; 610464787; 127157462; 645482942; 490616668; 878140225; 905288030; 144553343; 363290074; 679564299; 456123394; 302053432; 7602845; 565164468; 583675342; 161754167; 34634311; 262987207; 374560957; 941883138; 705765419; 741289921; 386670602; 595171422; 884591359; 661174588; 823047701; 902087911; 246808704; 991963729; 810723157; 50581737; 50044883; 829273524; 161201354; 963304716; 610541674; 175684872; 676681373; 822577802; 404182165; 627557884; 547419690; 29817491; 680807216; 41816711; 553065112; 329281831; 314673508; 96553913; 406153979; 385817558; 390526660; 680536405; 888451440; 916840300; 577119544; 911266607; 264878686; 149611057; 964508023; 510563214; 534109757; 749434426; 894462047; 365707856; 142447672; 702021582; 644121059; 658628533; 371362380; 59450686; 115070802; 108378513; 347560450; 926817322; 818007524; 368503529; 559649548; 250939915; 528795017; 809171668; 531907075; 194678611; 199297853; 840267548; 852215441; 998894252; 116420853; 331398744; 74396763; 831374325; 776545662; 526629691; 823355449; 852987596; 593986123; 92767775; 846069418; 412471494; 558952815; 639740835; 745679212; 129667448; 653690657; 451524786; 985160071; 364011670; 540100995; 620740063; 929627077; 879445384; 100095230; 70101277; 538767854; 268264276; 894240445; 649029039; 820365425; 28508104; 585982120; 490651238; 158421322; 282650139; 839726149; 239019088; 304462128; 424508392; 244741592; 419244172; 363150362; 973050140; 104803004; 560526869; 186503479; 21350359; 128419587; 401231856; 865957279; 583517521; 249527829; 417777058; 255248238; 233657211; 565734902; 113420933; 866383523; 479927232; 794268506; 382414683; 417591916; 78724690; 964099856; 246666106; 663099924; 184187188; 658613119; 302437027; 814930597; 82629294; 420319466; 642496658; 59654667; 57461854; 992705241; 854176511; 781599418; 587777507; 806242756; 866251509; 156570209; 134587058; 901107894; 617280358; 163913920; 666394012; 614518567; 262078199; 142945736; 890121858; 20498891; 307872700; 958733433; 771855648; 339002116; 563610907; 161399295; 192568234; 918523610; 768273020; 320816796; 658388130; 51282694; 492894004; 711746737; 464952785; 618619932; 383091350; 442916880; 534701918; 770711640; 117731315; 483602500; 980922083; 182620579; 178612007; 862161198; 945781629; 974486301; 912985638; 178488106; 952054663; 909218827; 244769709; 378896775; 927144357; 250737180; 154170471; 744036805; 67565630; 457395778; 825397579; 78386245; 353226931; 956555384; 726207995; 46971139; 259439853; 929439874; 897528676; 809619552; 873892332; 119083417; 296130849; 736104563; 881734593; 526149644; 650624930; 554112084; 427255767; 398100561; 556241854; 925409812; 496427354; 958537554; 396657903; 866413574; 764082278; 867725691; 653702133; 99390033; 542809069; 449222511; 919644825; 28700361; 573354905; 975105083; 544622038; 537623730; 565328320; 449531348; 958220438; 814574469; 465853871; 938938818; 208373782; 773463231; 543669568; 942789229; 323691953; 491874096; 921510591; 595186686; 524484096; 638422726; 602345981; 352960859; 49523598; 773629778; 684660963; 244259969; 939665931; 10596288; 604356278; 846896300; 181620986; 223792705; 686624666; 780581640; 428025568; 615771193; 95321515; 276458527; 730462245; 644726237; 550410456; 630374433; 300245745; 649608022; 250186836; 127425849; 406462910; 648730017; 529710393; 165095522; 143563104; 220092519; 383153221; 451415377; 486972268; 393504228; 234133649; 286755888; 154666315; 983009318; 731914249; 591579530; 56266533; 91359610; 797844628; 577035618; 803517689; 758123472; 384617433; 687159085; 649971856; 454632629; 144243192; 219008605; 881995064; 342870932; 506021753; 603117490; 742378514; 513400117; 604803804; 55189343; 350804581; 968428086; 77156058; 913111470; 779977742; 256462332; 438059737; 496675243; 121055665; 828836194; 729235708; 781587847; 454102447; 58537287; 840422835; 284951511; 718042544; 298775901; 95932705; 413396004; 286580264; 960746293; 869957259; 925007921; 57397366; 522147118; 254214867; 966686370; 790620384; 467627508; 772515657; 333142049; 190017255; 480280901; 775097262; 317696848; 560382850; 998565101; 282008891; 555832848; 544342054; 366343965; 149795364; 552970489; 645016142; 802549851; 921936899; 698836293; 407033171; 304567963; 424187228; 271044928; 514758285; 45607267; 290859745; 673919041; 625115665; 476641996; 40532445; 734599524; 937209074; 720234909; 947753530; 650567335; 674231553; 945737749; 792417282; 213755601; 730397958; 64303528; 11976964; 158066957; 420047220; 320339291; 281883473; 888422798; 938331720; 188321974; 510680176; 529410167; 461247574; 830381276; 136474091; 753347846; 272743796; 665675734; 27451731; 156493566; 574479815; 468333379; 868676668; 73957572; 333113017; 115764098; 542752275; 52719274; 774051935; 450342108; 72289532; 541687715; 582942742; 146312683; 146389159; 748986964; 617814802; 168815113; 965192032; 539013257; 618299748; 138250924; 861194857; 646040875; 125676496; 67312538; 814871860; 108782677; 783361775; 167934627; 641872053; 374117621; 9692201; 577620620; 19412498; 694822684; 615297108; 692324845; 378501662; 425292053; 25631995; 509852689; 795950306; 103064591; 655913053; 394306621; 995325610; 762702547; 586650947; 801234012; 611174621; 744358133; 173051397; 289149114; 885686410; 237884042; 294119725; 729872000; 399604603; 278156472; 132696919; 854033218; 602336713; 953577017; 521666925; 716466894; 123046358; 585258265; 680333081; 819146074; 559702697; 527823916; 978906157; 845408480; 812346283; 261138038; 145312564; 356360483; 982599539; 749474021; 494284289; 600246826; 561518628; 830228150; 903911633; 850313484; 675300140; 293540771; 890247459; 971756287; 509054693; 215845192; 210696044; 690285270; 49891029; 825614827; 10165680; 570685384; 156782597; 890585997; 485640635; 334389570; 253777361; 417142567; 144784930; 608892419; 325991910; 115988406; 237672942; 313008861; 318749265; 509565234; 783258417; 767537149; 200819086; 309421949; 415987542; 912762144; 794529584; 825636848; 188359868; 665419151; 95180987; 437446570; 908272215; 296221519; 162998963; 909813533; 836757726; 848417103; 706564920; 90042413; 853133616; 984712966; 871213053; 485778581; 412011459; 355596087; 994015127; 416371548; 779702692; 127750119; 846498412; 933983954; 744423957; 634742557; 128642495; 666434252; 655314368; 219517247; 95759154; 712219353; 547611372; 32407404; 837400830; 946113140; 330236336; 512899320; 211788064; 461071695; 210684988; 187689706; 413803561; 434369327; 556492164; 629173491; 637889340; 920254562; 332887816; 626764750; 614725985; 796599158; 100054413; 919543541; 552164045; 929424292; 174611751; 338467885; 371190620; 906311848; 429899036; 933307343; 489862351; 36104735; 328850501; 55699439; 158404075; 730949335; 707322679; 365946589; 473891462; 789431683; 649679540; 695223318; 873679337; 346352325; 795518031; 55122742; 494728288; 761195333; 599241594; 761568526; 683213338; 283747250; 106947901; 751458363; 25602653; 167662317; 149888653; 792752598; 976344331; 202629758; 665406583; 885994869; 706421791; 474567984; 873332783; 6203682; 628801924; 566435523; 285649968; 781299694; 119333112; 887661924; 89377258; 517687814; 855544692; 979194040; 753208631; 866522938; 594214260; 442855147; 674322900; 89585416; 966144529; 790312204; 952102412; 168034003; 396972340; 207680527; 558026016; 465726421; 933355393; 922880570; 205703752; 344078714; 51622632; 211367278; 573955916; 304897268; 893964107; 313362634; 813377718; 878951986; 249291892; 399164183; 718198170; 50141523; 296429879; 410924606; 508482618; 752588268; 811178133; 556324834; 289689633; 643754287; 521710546; 421811372; 540138273; 515056109; 255108007; 770525762; 425670326; 919140088; 72057263; 734977956; 64054074; 983444141; 686173426; 296476194; 539802244; 363361692; 740329862; 753110032; 543825884; 321762144; 416538620; 236864066; 52142470; 243316820; 882569809; 576723077; 577883710; 359820757; 93433849; 870231678; 779360023; 469471261; 706339551; 267572254; 788080077; 495506579; 330030769; 498153617; 199201287; 733848076; 872621042; 943120463; 610028234; 93036599; 6797612; 823919509; 879226979; 314157475; 96176735; 322471631; 571978152; 279975597; 281392319; 295457155; 251364909; 567929723; 815621761; 771204360; 766731491; 249113918; 934042574; 708159224; 986698375; 130225562; 655421411; 632318562; 625638698; 974632788; 307493896; 188708864; 156470409; 965964337; 552964204; 141569499; 239983567; 219971399; 303685561; 848629731; 476507339; 639904129; 571209174; 683032828; 915468167; 551967720; 23483150; 546611530; 686284668; 443380294; 940344369; 323162181; 70674107; 189964320; 427444162; 470630046; 154778052; 598678055; 933583516; 636916878; 9625663; 589434365; 106545596; 265755641; 472138741; 241024230; 783340238; 431386065; 329464736; 970101503; 25546605; 26436634; 617640975; 996870859; 978519694; 838892565; 987970896; 373161572; 43883187; 673070697; 646330886; 647683569; 42791612; 496976744; 518902287; 478766257; 51141251; 711407706; 364519973; 689310314; 917773244; 434700541; 11491299; 297023522; 310831096; 398824187; 880659520; 514399664; 76947395; 989044418; 223272132; 988675194; 903512135; 30774038; 826862013; 165562541; 245735019; 568951976; 7728379; 653987381; 794504516; 406661924; 155162155; 66942263; 594826449; 57290123; 767818171; 372842842; 444733811; 143692472; 952191129; 596126188; 717370849; 657985705; 145167965; 21538054; 608298968; 118629471; 633761764; 19509920; 421192205; 689363035; 642640597; 167581328; 682377929; 267100737; 219495261; 591672047; 236304164; 977771340; 719262950; 543883912; 702472669; 718911028; 408337583; 895820369; 324789553; 302488678; 542524353; 550564952; 545591336; 383783500; 241165597; 517513782; 524779774; 342429826; 275242228; 758559939; 316472874; 96219333; 111322382; 739399534; 114283473; 137166015; 377193869; 728543116; 427038991; 541264707; 582131381; 98722179; 887524273; 987626493; 165063500; 985073798; 699893197; 917881011; 55576774; 47418513; 934711848; 250596533; 604940034; 596354087; 889495092; 400883918; 309547740; 105601457; 475073304; 254132493; 210431228; 202057939; 437472417; 568771219; 427105269; 720407778; 373101830; 331471998; 51838367; 863688588; 227942747; 69455917; 377928118; 699598124; 744195419; 784967560; 335260124; 543502417; 215209827; 617115046; 29757783; 93311729; 978638352; 356149727; 574961103; 335870881; 141814507; 34002254; 47736348; 983377182; 891321787; 333354979; 801327675; 818563921; 800555958; 862736316; 140195727; 734152751; 12472764; 775869066; 18638373; 344783593; 817587252; 28975286; 196839409; 548184; 305852302; 657547598; 262798795; 413032665; 955455111; 913339266; 844566799; 290939624; 893238651; 816014378; 365682678; 529049175; 584872951; 950160367; 721031153; 540409332; 359207958; 239886424; 807211014; 227957170; 574891764; 473030679; 667505279; 905482016; 371897740; 759047223; 227532201; 315683370; 855989563; 91808598; 443881816; 911370144; 349331294; 613428579; 236418677; 615720526; 125773613; 633255466; 212323199; 78585983; 226025437; 982860143; 38017436; 626869660; 393599150; 730151090; 490881659; 58932972; 485217460; 91124667; 134381317; 700143205; 956660881; 238510547; 603802290; 457200876; 49619548; 789859149; 281147300; 621541272; 963005123; 213189050; 92187652; 747627059; 469658790; 610197414; 197453591; 949018110; 220693762; 704638572; 803483136; 62562887; 763249074; 160535107; 899001616; 815257496; 357421509; 377327916; 180850543; 798477751; 24835817; 113828251; 793468368; 804759796; 858524861; 222973968; 73154680; 872794728; 598656845; 435391072; 933331273; 99974138; 564875103; 759098863; 212938849; 568704071; 461091735; 581553072; 839331250; 879009297; 506607817; 655607424; 118941037; 177733202; 743700168; 790958645; 248398201; 362961356; 444575185; 812262363; 507728828; 702244949; 764449969; 327164259; 749039199; 767293570; 894969893; 240704508; 979931472; 351683951; 256390840; 370740728; 838643541; 456996131; 632856509; 363843449; 2216755; 696792482; 536025976; 586564508; 888709311; 999605820; 528579306; 769625726; 667487646; 681167266; 720674706; 599557549; 253856267; 411553754; 445501027; 357118892; 28472119; 875523387; 334003777; 534833324; 217471257; 834950312; 670908483; 337508362; 642306618; 575657894; 636447964; 746614902; 326214147; 937651393; 205600090; 501649259; 264208458; 465982092; 693919450; 512784603; 573577874; 156264536; 275126165; 8275935; 462520164; 945226108; 686461680; 325651129; 472026850; 472384348; 7805562; 681110120; 820177657; 272556532; 842105703; 433736551; 581936143; 40740889; 111099756; 70835949; 222860785; 74433951; 423094029; 79671973; 230400767; 892234017; 273893231; 830738359; 494157140; 721231605; 500174465; 110797458; 723298910; 190892154; 756641766; 694554004; 540977295; 376513842; 35183184; 26220324; 355044804; 580228980; 431768358; 488319586; 768996392; 668080533; 989233701; 278925851; 259897757; 975362650; 352699276; 223707548; 265723509; 94493760; 878013939; 517427197; 501173554; 76772771; 615173959; 862407790; 941947685; 786188948; 787538055; 526082725; 405038957; 24177842; 396452139; 89368400; 571530493; 666527234; 341482633; 112322852; 916030106; 708565932; 963119891; 874245104; 630708149; 940032387; 329283066; 249566184; 118451624; 984914692; 727148914; 422242299; 119582340; 757183335; 926148392; 451722499; 274150693; 336713834; 722106735; 338784209; 915110058; 302394311; 526733133; 969472177; 732811116; 373488996; 431928003; 765226594; 724366017; 560255511; 516874130; 882920409; 443028183; 461282979; 698800800; 917285643; 707439597; 268302462; 737024400; 71825918; 158225008; 133529066; 478003726; 478094666; 730284609; 956086494; 159933664; 602170391; 989323918; 965104801; 35670433; 738269230; 594362728; 132739752; 715397181; 148548444; 411555774; 460253617; 196380562; 55993539; 521458552; 113840630; 536441264; 358831401; 824691444; 617873317; 263041019; 491031851; 85035413; 296321264; 703273562; 547025981; 323038547; 388915668; 322013892; 953479618; 573439790; 335705190; 635572740; 66192784; 799238090; 622503245; 487836844; 558379526; 20780752; 193391989; 237876989; 745865795; 175494231; 37555059; 902284383; 413907760; 65063961; 484257006; 358463236; 55737518; 771753689; 177012311; 159534726; 775001072; 276884918; 79065073; 146958408; 726361758; 49234455; 371574056; 553358761; 638187517; 225215064; 488875979; 721941009; 592344339; 916530741; 977711490; 836159214; 57970723; 634946090; 717105688; 338665225; 530782719; 217403247; 93254487; 278774973; 36049412; 45679997; 110102100; 354611918; 365760517; 960159472; 548650744; 230144312; 597541080; 66790925; 616045221; 656136972; 594075633; 635477741; 464282657; 78356072; 402673171; 363573539; 599303219; 782452454; 417651035; 960051638; 346987383; 399625267; 310362782; 599661617; 38351027; 922023422; 246507964; 134312677; 257147904; 770631258; 174000068; 861477341; 569564868; 671396827; 496784542; 988627087; 711065168; 438853866; 871960292; 547935579; 670358884; 17251125; 56764830; 828324579; 695089673; 251654631; 605213800; 47430822; 999019087; 632353996; 944757325; 428164488; 632733322; 329815669; 209536347; 168084310; 264871800; 959042984; 295319566; 690109179; 168695387; 479623191; 409922100; 10250415; 753899292; 927464901; 969460835; 633489737; 11215839; 370184481; 943846160; 16325015; 927721369; 152889009; 595697618; 42546141; 56761125; 348515622; 911185129; 160216482; 305212516; 924119457; 281989837; 160187903; 606172922; 296116151; 796195972; 206227094; 676233205; 312384875; 55961684; 315668903; 17850090; 638331588; 407705514; 143181071; 359468388; 589428767; 562825544; 890881884; 93109190; 52130843; 788496190; 800543848; 496509777; 57956870; 141776239; 382149247; 614226107; 858804715; 658907226; 785462462; 548283306; 868232142; 605287734; 858822345; 573456097; 911312540; 126468775; 811503140; 24308769; 935392938; 33322147; 446395840; 694797764; 382671669; 394126008; 271110076; 979918011; 599901870; 349272727; 722316178; 461401409; 561291837; 343789407; 821175965; 868782660; 292018996; 18770777; 493579927; 305361764; 323413259; 346363929; 601068274; 547311140; 771756668; 614885908; 940214310; 530250210; 912920480; 993934951; 6265973; 625114577; 921422450; 838952948; 445870429; 134244481; 128730168; 756722095; 309108109; 618419673; 660569067; 988769160; 996375062; 123541133; 768759054; 833369431; 37727092; 77449146; 115353629; 809189981; 791044226; 856354807; 307250188; 549545172; 882815954; 422739977; 217304884; 611834233; 637326925; 848223807; 616137335; 929940458; 589308292; 936230437; 844793931; 579390514; 677635113; 762245026; 73574120; 848959137; 103665135; 488931541; 246346405; 925805049; 405954587; 46282007; 664371372; 192759699; 465803988; 277638479; 585451385; 525374319; 538204347; 923719258; 158028742; 536932082; 659548293; 707474193; 782412812; 823260897; 527882541; 385184278; 847380141; 399561244; 83076117; 725285638; 678713145; 436271658; 873482751; 909628774; 875275874; 421418802; 856818560; 122238451; 57915934; 527277572; 251054110; 631939456; 235236476; 320186036; 524464085; 74439796; 522209249; 815757739; 381951287; 600062579; 749408051; 841315842; 936107146; 365828247; 491240285; 415608833; 426395217; 18212196; 785445792; 464838673; 537923817; 576191992; 84067833; 903729163; 443903021; 346668831; 176742942; 478237905; 703853709; 235772549; 845019388; 374522687; 555509340; 375096457; 95493065; 831289088; 291566018; 733191877; 861677507; 65327936; 822734920; 309909449; 568004012; 764740318; 557704095; 289566051; 124555032; 5276818; 334011482; 33275389; 328660940; 951788708; 219605694; 674990875; 79919695; 529947382; 492848129; 405049906; 916600465; 81917405; 699884596; 423939227; 192712924; 834851533; 955536764; 834248121; 658093102; 522228354; 628531249; 63948908; 910208642; 925652388; 608274854; 287684622; 354724678; 765008580; 563063053; 113382061; 397186080; 427560811; 607994863; 910811498; 831440682; 889761968; 179718466; 707816594; 829511056; 546589263; 167687745; 138923082; 54840422; 650520112; 491094799; 467384055; 536679183; 354110483; 216551143; 33891536; 766890654; 436731266; 402819561; 514760700; 6109064; 30449093; 816893322; 495290878; 51388847; 36663290; 31759515; 274054543; 419194230; 470091783; 49330406; 693541537; 845965013; 825290173; 180640972; 737245021; 443737210; 154951533; 308307527; 165588734; 845684564; 573884777; 486243976; 498837382; 19695713; 427428452; 898211281; 585453770; 386755330; 848528823; 593882392; 703146453; 484858322; 311317488; 472144423; 194838824; 279228642; 136753107; 68167459; 869213530; 217904147; 566051958; 47408775; 292123772; 89664772; 985043050; 363604069; 645790951; 287044443; 691189021; 463218398; 679338077; 583321243; 709726853; 231159648; 829564715; 951939330; 577870127; 829450703; 143445151; 454225399; 48709642; 785803277; 986252388; 77702624; 603236635; 671718115; 130442965; 99758170; 858719979; 517160968; 900099394; 878161626; 826437855; 998857845; 194643822; 505784954; 20046395; 511566279; 231709344; 811382068; 642411816; 832990484; 99659142; 506860531; 977017318; 948635753; 380586462; 707351879; 299956703; 736090327; 758301100; 600503646; 268707211; 626966846; 167772420; 203438442; 566464207; 124615836; 423170678; 682864572; 275371068; 22618705; 703273059; 417955042; 70032202; 118836433; 208538317; 812331708; 88353179; 781525001; 439052757; 283407064; 397982144; 334027532; 629628673; 270181054; 509930463; 177699464; 579301744; 434087723; 247272936; 701262604; 60397663; 214730500; 769062713; 932491874; 612781788; 841306808; 928659905; 875347768; 699394982; 292069721; 91596423; 346262425; 884653204; 973325796; 822978292; 663106873; 164468714; 942088715; 550759932; 98129688; 169108238; 430909857; 853785925; 512125390; 931203052; 192337154; 977976736; 785036092; 219087966; 100157614; 908880940; 409722092; 771688257; 218159873; 8418683; 697539260; 611610489; 78506401; 640193905; 814297941; 436410104; 276249243; 364452453; 230775087; 136349039; 957237297; 726885665; 526570856; 752139328; 80873387; 135672832; 301961042; 34087503; 16821881; 593909355; 889233415; 916088279; 623881534; 710995755; 489308471; 120937170; 437334406; 931458649; 227430100; 709098939; 183488405; 72792385; 502203471; 322436677; 700114741; 442690953; 854059166; 403913103; 573386399; 322532435; 638105124; 866323134; 931037233; 700681418; 386258889; 452867364; 376236469; 739418858; 549414863; 29858887; 249766817; 581214415; 721501897; 122293768; 121228552; 292908799; 607448196; 764305071; 825803539; 759907594; 315216832; 525328984; 79611459; 783564636; 666848587; 718736660; 273129423; 311663696; 505493731; 545441944; 934104720; 912920876; 643518317; 102552504; 832441239; 997897799; 47642648; 506343709; 217794004; 676144589; 302403049; 306800389; 265919820; 374863286; 273220066; 196692585; 568288050; 112454784; 704026112; 820737063; 823760411; 807087713; 327901149; 486377352; 652795015; 853411512; 182783965; 909507526; 180711925; 762077774; 303974940; 203323642; 775422546; 507225555; 662136865; 6738917; 154936523; 504108699; 20958011; 905729249; 82188064; 529635468; 720768542; 182996754; 793663921; 428965408; 523106349; 648545451; 930881627; 39924523; 40499957; 554110921; 626747808; 567688440; 312645270; 44584882; 620480486; 502327902; 130880488; 620694174; 965893733; 917464563; 740076884; 258254956; 591754722; 473387823; 411982919; 633737428; 956991853; 342183718; 900892530; 962770486; 237471627; 417388470; 378507098; 570508686; 417141838; 378666202; 44789741; 326855089; 113760620; 119455044; 10491243; 145111799; 114690467; 306931757; 108251931; 252300787; 352875816; 968155501; 801715414; 724573086; 506881303; 705016313; 618760624; 2416789; 15396409; 566454503; 436913796; 818599674; 30901323; 925320075; 678065624; 973970803; 739198382; 675031675; 441162590; 719588571; 563453196; 609395080; 164279981; 826553713; 524322494; 967791482; 163511391; 155213779; 475023217; 26329551; 543149877; 834875704; 606640152; 79701247; 678451866; 595437835; 612014995; 959194639; 884143074; 523234555; 638385722; 665968246; 131246719; 283321239; 213719862; 247678745; 318522884; 14856084; 932804288; 269631398; 759683945; 61153403; 67020659; 110591671; 222778250; 666831535; 910695203; 722881777; 675569715; 137781564; 505353374; 557187752; 512907190; 294716949; 250728925; 989955148; 325185107; 794853549; 584055546; 881890956; 968793289; 550051138; 756866792; 273078374; 891488987; 406091026; 748471644; 589282527; 191654326; 159956254; 564045290; 823284879; 647862112; 660848646; 509217824; 494192646; 364819699; 916608562; 296333716; 748999425; 653007519; 993327289; 848107309; 564628873; 513000711; 479927923; 364729177; 22769456; 642543168; 873594365; 733867788; 503719482; 92737775; 439027937; 513445878; 682265246; 624157218; 192278901; 471633060; 742825418; 332979678; 982231659; 659078827; 215832323; 568743257; 851158261; 999354081; 278318786; 457413033; 837061118; 509482394; 767761702; 731554703; 789576486; 915375469; 692022110; 690710623; 933149505; 304407096; 689557369; 237992824; 442354931; 743724327; 54676738; 102577570; 970589171; 123390121; 531616117; 439524589; 806755578; 559786799; 661387224; 353272419; 863567878; 127798719; 404097036; 986087101; 280768106; 656853789; 793720351; 583201899; 875520832; 51498595; 959286395; 812663540; 132863818; 791330060; 205025687; 602518044; 189529466; 977969980; 94459151; 668264168; 637356217; 67706140; 293582881; 413924389; 191252778; 925806627; 763512590; 452430745; 238319395; 328906275; 844157094; 743071706; 217647065; 996527116; 229661635; 953914586; 463040888; 310439782; 34433326; 858813859; 64121378; 317980396; 627508415; 796234098; 20323570; 623177083; 408423739; 742627246; 145536930; 100285974; 395063048; 783814233; 59467402; 19987039; 959073257; 472363783; 739392442; 503988848; 163779530; 451435659; 837897409; 103197842; 67765461; 60837715; 342876810; 336007185; 777874246; 706668982; 479055520; 447882505; 8809307; 212311978; 10790118; 970149578; 498546578; 245621590; 821518259; 805970582; 263706187; 803627053; 968150752; 385635497; 362458611; 43131100; 908553154; 867851531; 884619423; 591892310; 713587488; 988946601; 127263447; 539094416; 599276782; 659144169; 702979611; 346829331; 441795657; 792319818; 171961094; 236680694; 525793883; 285361908; 833667169; 34654606; 612526245; 218289644; 932342984; 99952837; 945238473; 654574515; 329139376; 682960113; 520829676; 955222381; 931424968; 157983956; 162273228; 717997769; 783444391; 999855926; 893547530; 437453422; 499281854; 732080113; 986995264; 167293382; 239047252; 665763039; 435221465; 277245023; 312767110; 766018110; 587157035; 840505126; 98280197; 229095385; 675163900; 7386852; 87532752; 635125709; 554474547; 525672296; 917970588; 11443414; 638444797; 598624820; 668969177; 23266974; 973495168; 628917669; 741409032; 51598815; 604430686; 367201030; 269361533; 566739145; 665547669; 115625420; 631881969; 509486220; 774728517; 321175506; 136168316; 192930065; 541352615; 511931163; 438682048; 748685529; 313799243; 753799194; 955659598; 974522431; 88081834; 476726915; 178816396; 132115938; 420611673; 207959146; 578338244; 576637748; 250817311; 864284931; 655161773; 211147056; 35843851; 490607515; 753801632; 64262206; 102684114; 826757904; 283276773; 341417563; 681424904; 381701499; 938313309; 36587205; 109445044; 778425006; 750868328; 506026555; 910628915; 224982426; 653669191; 9179817; 581634149; 571262118; 303300894; 638227844; 270317184; 269646356; 679171244; 197825918; 861892700; 625977139; 6964641; 778938995; 50794234; 364439226; 175506745; 396161332; 764831051; 937805853; 668596314; 620270267; 65761163; 703906482; 34366292; 122757229; 416082915; 479216585; 832702982; 509249038; 966179939; 590719850; 165470549; 250272954; 767655757; 282843884; 862295668; 438423906; 240909259; 730518851; 490142749; 326324831; 394592799; 964597993; 864465774; 129492586; 872778574; 179689726; 770941329; 608503950; 348866529; 837774257; 194919060; 9437885; 721964126; 490239775; 469135529; 130668593; 904552239; 840882231; 998143929; 88085817; 181961158; 836399841; 571429949; 429411492; 604995118; 311484928; 178749476; 12892435; 514750855; 981516258; 949803911; 975059858; 949915112; 737652963; 169425691; 271053765; 276104558; 164624188; 591889328; 320910312; 273825882; 158088149; 279159392; 830368972; 418551202; 373025015; 189031234; 958790222; 758915474; 63850957; 454008109; 504066675; 508679694; 392879675; 864080206; 987878667; 22867196; 50226211; 278868928; 990415267; 405471239; 335731803; 853778391; 576749734; 979725648; 879936160; 658209802; 640390398; 410208882; 85554768; 421481073; 872844757; 909136992; 212956724; 825346854; 905350239; 285971806; 976931990; 663337449; 203519690; 961769174; 796649615; 158806296; 742800165; 827694180; 26559346; 958855042; 363828870; 463724989; 278310912; 274910274; 843935868; 805371550; 186561279; 185728557; 219083659; 817920915; 925689206; 212941045; 432598650; 600652067; 842855656; 22473782; 834709449; 578422290; 137217753; 452347764; 554432756; 119419428; 152548376; 593347551; 493933735; 502778249; 791332232; 840776510; 679425959; 821962652; 731241492; 22619431; 695032010; 71989174; 306108483; 861121367; 217351283; 251272732; 840929824; 279563215; 485414665; 521027435; 749439297; 22715054; 132146450; 535376111; 172526378; 184845810; 515608665; 379409315; 941029934; 852139951; 44584496; 946225084; 878944783; 334324371; 590167450; 654412148; 945280025; 771403200; 833577166; 67885549; 162660784; 328930657; 125003699; 612776268; 684599673; 367425318; 571552556; 642247780; 811829084; 55221258; 687194453; 990087760; 270955382; 149604069; 200123651; 879935964; 572201045; 748222880; 383118578; 517393649; 392945652; 778813400; 913953875; 780615377; 305862597; 810668457; 822288939; 728877423; 457031254; 248116769; 78798857; 894724986; 341068877; 980585188; 776129605; 767281333; 144023823; 69504337; 845035941; 492657552; 73207814; 505706156; 243243239; 334636675; 954320202; 567389390; 482522287; 930180865; 825854078; 829201295; 422561313; 826496409; 28636623; 368731985; 314643282; 875965227; 111470736; 761904779; 274763716; 130221145; 784367923; 538596337; 250434430; 158870183; 303084754; 143392898; 80916499; 833083285; 166823857; 920070660; 954750241; 831258239; 469651847; 178088176; 809551418; 319300430; 682269008; 909800061; 800555957; 630565504; 639672756; 727330158; 709740431; 438176999; 843933686; 455695437; 859756389; 5796298; 349210376; 894660391; 741548284; 458030184; 536597890; 750439623; 255978424; 171882553; 981843785; 349136029; 207552884; 428463842; 551810216; 807699105; 30415878; 484221727; 595039453; 263773983; 581152495; 832525073; 672649455; 485934588; 775450896; 290393767; 964749709; 179105761; 769713492; 653011588; 114753059; 57318721; 68659613; 135190263; 913265154; 817631016; 871398952; 807934835; 130827051; 284319126; 455041596; 440228254; 882207953; 472199579; 175205383; 431268081; 859384541; 726407004; 492500884; 605654621; 459876512; 844100363; 905487650; 366438357; 506471258; 149287669; 905294375; 411501801; 450225560; 479709458; 620428096; 836275816; 511419759; 259301602; 383322415; 432341202; 215882916; 397770932; 850590997; 650275278; 756556649; 300310761; 764215704; 226846973; 95173446; 283717682; 648173109; 690668578; 917441398; 17575413; 474688732; 298029785; 86320917; 369502826; 542831356; 545743885; 841289350; 783511867; 527327846; 156174296; 486483286; 36026679; 274041628; 968031292; 583424107; 679163547; 141441347; 468092452; 383521958; 610815364; 501810038; 557610884; 57226197; 690978741; 991532447; 464239726; 233696478; 176080371; 872428102; 958904406; 18017326; 592098343; 822259426; 99856976; 755434751; 308345578; 479461278; 511024191; 630953252; 49894651; 811148529; 493733572; 398483170; 753137451; 393301757; 849963772; 52730059; 690140356; 195924384; 187202281; 784754781; 804322231; 754115370; 260067489; 334584715; 553382200; 443450573; 684006918; 425798640; 387581570; 483267611; 171882706; 731989510; 856138920; 587969594; 882782638; 236515097; 966105258; 600478312; 517969724; 414225879; 734737205; 539027569; 822745155; 219128590; 190980985; 198371222; 984987356; 207827629; 20992102; 376984638; 633721511; 693597091; 938791060; 895847790; 395174103; 931616637; 398331033; 965283552; 977406030; 829551037; 4801309; 496969418; 151679923; 697269379; 521883181; 8748408; 662993020; 441545392; 708581851; 49820919; 770905379; 366979386; 613130952; 363933976; 935224248; 80417773; 393026022; 16261872; 749740606; 515159234; 242529245; 233892468; 50482462; 122657218; 448795102; 723477682; 140546591; 947617519; 233651019; 438655273; 276397493; 153636131; 195520379; 940748516; 113038492; 222097702; 382345631; 35037906; 410895532; 473989488; 850830014; 129126315; 707855026; 34619546; 759878935; 820898811; 549323815; 259699173; 812058432; 650250511; 690052964; 701272419; 376111281; 55541672; 741953212; 483413668; 633077554; 972648667; 865182641; 586515671; 936083819; 404205594; 970427750; 620048749; 208439677; 528291855; 314645759; 498195048; 971044479; 377160636; 546143046; 98395227; 542103117; 493094396; 514047993; 428127320; 443932175; 564281082; 674704577; 971169262; 907793536; 399206981; 704775057; 585054038; 484856348; 612956160; 816132067; 819747858; 592919646; 5989927; 687420466; 462707753; 300985703; 806360371; 227898719; 873183093; 434168614; 811563798; 365865146; 318193608; 513842346; 452483811; 368956459; 347347378; 633595364; 6228494; 470759808; 983908225; 125321019; 741814485; 579434226; 208901377; 127253749; 817583353; 878098151; 34823705; 939879626; 137558661; 997758135; 672937874; 350210433; 156713066; 500651344; 89712970; 272598786; 112722209; 682176197; 481002139; 124156775; 954019919; 628654348; 636534296; 657702623; 425090392; 590647014; 865436448; 854422117; 279055881; 896413338; 303678613; 606872378; 575811142; 14097120; 42389412; 27195835; 911809632; 178760679; 388070636; 294349849; 333483026; 467201658; 75452699; 633779876; 477296949; 841093876; 705982463; 951864769; 294045877; 128580108; 968141302; 668126894; 465398028; 481547690; 730140753; 795022015; 9366052; 617001291; 161315906; 761532055; 198073595; 770611033; 761962841; 245670878; 960405086; 34891917; 904729273; 323990374; 390600661; 348930325; 76891711; 742303021; 760813398; 684649067; 980679238; 576483132; 967510002; 672872695; 899094652; 633653806; 808412089; 325357936; 191770420; 30363877; 965473326; 750046900; 957060149; 699928340; 656961759; 206884064; 654446689; 251858829; 54794110; 61748494; 483806899; 86028853; 3654578; 133969311; 433688323; 175647327; 520129763; 43729573; 982455008; 150277621; 183259202; 359204421; 920415229; 422617454; 252714444; 922450343; 633399289; 618142280; 82897951; 216752840; 913327223; 644649938; 104264293; 747394016; 884144496; 942862075; 696323425; 567615652; 397812061; 909616852; 730520162; 142923116; 361162411; 261861688; 56604923; 472035997; 936016743; 916841452; 565385271; 185409964; 396383179; 223487609; 239261136; 369586962; 934072282; 587615126; 329627509; 875212266; 235743164; 611131605; 477271146; 569169619; 231884176; 606129556; 134695630; 41570614; 359774355; 427240724; 722841406; 664995741; 785739428; 97804284; 575353740; 677956140; 984983602; 780542193; 762736347; 590956742; 580031933; 815082539; 370262625; 873156641; 777787875; 345783474; 507090547; 470094980; 203166988; 373961021; 566585441; 168828915; 107495946; 108075973; 816739055; 467994824; 438217653; 524648042; 237699748; 971252258; 629811137; 478352669; 679032509; 160448957; 810778900; 860949063; 41460396; 624452737; 291360350; 538371758; 145314417; 340783257; 639853270; 895596034; 80203845; 408760529; 867609298; 856309936; 765902062; 607247061; 695804953; 154083131; 256682593; 122967500; 34357695; 105710732; 278211725; 511598862; 689716131; 805316414; 526239088; 590120308; 497162397; 849835778; 713939659; 27706041; 305521914; 26854282; 698123545; 794683886; 760497071; 489774239; 53651399; 632998730; 631135611; 184719597; 188733914; 943863901; 358815477; 390081470; 702972398; 659274012; 113317461; 538492171; 284936815; 891754318; 779397322; 857726401; 56830393; 819326574; 355010624; 575754637; 284235991; 319570823; 573079211; 925311383; 355422574; 783090816; 466518536; 449181912; 918722066; 800244365; 339532352; 210364560; 141037114; 529501605; 216631180; 189442294; 419639916; 435002054; 792537938; 212043895; 488532420; 865053162; 906716420; 604137240; 175238897; 884658828; 961582792; 174714252; 432326132; 966571022; 935935429; 33828041; 852041882; 291608219; 774602687; 104072000; 947708990; 828447272; 350100855; 614107629; 905097788; 228043542; 833693784; 353979751; 766338135; 967883999; 78676913; 621883883; 216122238; 555852941; 699967727; 222023318; 776477859; 263606807; 964911173; 796277376; 390322286; 333874821; 418977676; 483662934; 821437853; 695553193; 942989832; 941767318; 641716502; 280054820; 597471705; 931030912; 552152359; 7357720; 637331234; 523159970; 333440956; 982067427; 194573339; 906205346; 513054944; 737467506; 817797046; 446009807; 863240725; 914878502; 723839775; 229084213; 153017569; 210700057; 33715509; 115546036; 25932320; 636721632; 419311347; 860255925; 584555773; 994507746; 885066880; 318734714; 684931715; 372742357; 832045796; 802107415; 268872606; 859744178; 66300388; 555071293; 219119569; 309556522; 657431594; 658631874; 929176600; 970860260; 398012950; 86346441; 262872419; 283925630; 270983892; 449749279; 620220112; 729890999; 291234825; 518709535; 931323992; 106056154; 761945077; 395270459; 445890684; 6871582; 434796824; 81635923; 223940424; 589611770; 60594576; 335554954; 61272695; 148457394; 309559207; 949759811; 213823302; 851297001; 924337403; 365970618; 386436212; 855151715; 706867443; 396884616; 164738468; 539187743; 326010419; 618438310; 175474676; 262603254; 833676476; 696091586; 309683748; 471819350; 104085709; 673510858; 298154793; 545051353; 462245510; 498384487; 175993990; 442883331; 825913798; 281836603; 40901168; 196538300; 14559273; 683253860; 938317469; 369653247; 840213449; 994312428; 295805110; 344010286; 778222995; 747459484; 765163099; 398251475; 2764359; 906231392; 841374732; 902466732; 512331108; 594270891; 317593010; 722477700; 490177837; 226231433; 498975971; 492152800; 122851047; 255127276; 729926868; 311904649; 742362298; 479088109; 889329059; 369651773; 216677683; 852744732; 550654743; 897909975; 50056430; 976578042; 898306519; 732550073; 589531444; 972509850; 326285011; 555771132; 810209296; 447473278; 285792660; 930666322; 782691714; 115388437; 881825021; 923263919; 137217030; 81055805; 552641347; 917408609; 386148707; 929471501; 321607599; 84029617; 161605610; 87752417; 606038575; 611323561; 480685096; 832269135; 723109667; 578628205; 133988708; 263791081; 364300926; 281974026; 268551029; 972204889; 820291250; 583981374; 622444915; 959697889; 12643166; 737857547; 44764333; 378503240; 502986041; 784702412; 285816657; 384231906; 722320791; 411774531; 722353803; 657159196; 117070836; 944546899; 717425608; 549472494; 960518429; 14898641; 679327424; 265638529; 454057009; 371206389; 961197520; 287552688; 392118032; 4883898; 112592411; 24951202; 411349641; 637556859; 425267309; 821515495; 676752805; 236781346; 438328380; 366884663; 983016445; 551260607; 567042811; 816893785; 296720208; 424867086; 394723147; 229494697; 984769025; 998070159; 540644571; 638829724; 294255191; 18284747; 820491441; 491755562; 999311965; 214763565; 242744425; 904251993; 385140749; 865252875; 72533987; 662473874; 486855925; 407888231; 592945573; 506964279; 508655557; 768341643; 263217881; 89322541; 664291514; 823863881; 232781; 403837898; 87532616; 539704332; 12522299; 649362100; 285770831; 673868849; 604201049; 2708235; 262428793; 948930235; 273657867; 956044062; 846999808; 97034182; 937751387; 552877003; 596711476; 638755010; 859942609; 922050100; 659006385; 803239564; 617242043; 815199422; 128967492; 660051357; 95206958; 302447176; 343264510; 998569124; 466324446; 377847954; 450549466; 622984326; 86555242; 364514768; 933257282; 858764124; 857590707; 732799059; 927282076; 399646349; 613301035; 754123974; 944041265; 549973193; 563996227; 917666883; 386812758; 796559134; 552726402; 718809059; 524156786; 106683123; 793305498; 720151957; 837567831; 941307088; 250723791; 396393864; 872007441; 351962262; 614192063; 415866742; 296372192; 969765167; 720177557; 352915219; 796930970; 8617327; 201387534; 379949883; 49609947; 424451997; 722636357; 107089626; 186472168; 734829552; 733214426; 774210902; 681287227; 387052438; 668400535; 261726265; 671690029; 403785700; 207655674; 851554383; 996638653; 313947906; 503714724; 83405367; 923462367; 580977380; 566734190; 136741266; 681715905; 48941474; 800870658; 938066308; 138222969; 241251062; 954209998; 61019611; 512981133; 499797894; 681749780; 648471619; 803133417; 63808241; 185890599; 548518720; 741217472; 811019279; 676097245; 746738089; 589086059; 73827457; 640275009; 842560223; 828700160; 693265947; 214282394; 54418960; 60368956; 423462634; 610142053; 840322604; 80325594; 526742330; 341576748; 567585106; 420677448; 719731488; 976674705; 394791953; 462383265; 356181372; 290662478; 748598942; 943203473; 727084264; 442445364; 336776153; 854944937; 716042639; 671691429; 750535783; 245140257; 791099968; 571246774; 599180406; 530190239; 884033307; 698605572; 933605655; 42335382; 545709297; 939679238; 164532253; 915067051; 761003800; 108113478; 104990914; 931660058; 89576232; 391052029; 210468173; 670646264; 434310475; 952897229; 224806560; 222986884; 849690455; 813906271; 548942464; 112871517; 513753228; 781398003; 321538135; 295100041; 638097686; 425679185; 235065810; 849484443; 484056076; 777231276; 765778463; 367558028; 186173140; 125505844; 272099644; 994815320; 472934083; 990474216; 314525737; 253226850; 822167898; 404356770; 499070865; 92766678; 523281194; 258812723; 609387891; 693966027; 817442119; 798654910; 698552539; 464366030; 397418498; 929421026; 742466873; 985742834; 136860193; 805846709; 697483484; 414296276; 179328687; 530977974; 696798347; 926342244; 987934313; 183872911; 489184921; 388415639; 611537587; 616305461; 316397924; 124811265; 562495894; 279282102; 894616789; 585753144; 972743160; 780888287; 490620340; 722044660; 471435976; 566270748; 824816264; 978547594; 739746547; 960265796; 905813453; 861041090; 290481247; 974647477; 234275258; 406176655; 812357528; 332526181; 403281791; 759584031; 314075622; 570478528; 44832735; 794934941; 322043288; 645724774; 143818744; 756413916; 7776126; 809190208; 77193308; 325356732; 588486959; 279093409; 367798911; 888709348; 852555214; 912086750; 389773058; 13204754; 569841391; 605876888; 569442891; 83631956; 401137297; 938554274; 28334601; 775367805; 905929070; 466535994; 795502922; 828901959; 931363130; 664806379; 447220211; 797271066; 387611948; 392874921; 955637897; 157753454; 749163898; 979944120; 261694802; 951460161; 97249705; 497009367; 56302400; 708048139; 496614643; 59556103; 254047389; 57999747; 711175364; 42392900; 763078862; 355052725; 758759122; 72719546; 659363019; 497376738; 730709015; 391566232; 56332878; 923069625; 514604751; 597876220; 127074870; 185924719; 198561236; 679720441; 752432147; 924025949; 345465373; 934390687; 867746166; 630474530; 434630079; 218440004; 21824737; 599259976; 961363252; 398344214; 199677645; 945019413; 240914342; 489844621; 886995255; 367900278; 103570734; 373362189; 531465061; 133503009; 953586097; 988486603; 179292626; 490612826; 162616071; 737477974; 735604607; 907375240; 852800614; 193311382; 792151422; 526853936; 873605146; 516218244; 520818037; 559624625; 916582103; 384226624; 187463441; 753367726; 901268768; 531496085; 788278005; 851150411; 388488237; 508394591; 79293494; 872148651; 670305597; 946797271; 586541005; 440592801; 708448533; 518538843; 764833273; 804384722; 845084219; 754417683; 568653535; 192866086; 663798935; 59903643; 957806300; 134799742; 405259946; 878098442; 505230758; 361131357; 989607415; 862433566; 616711722; 663278209; 577556286; 697780506; 802391572; 878816387; 907597556; 342680066; 363160773; 570116807; 859887511; 967545467; 748406833; 745951985; 469448976; 461240296; 600424983; 539157184; 189940643; 515984268; 252879045; 273108200; 485211722; 56597135; 566193671; 653470761; 508193430; 164238202; 601339648; 972694408; 156372739; 579221273; 437669543; 66928754; 658099380; 339769261; 61199967; 992420677; 180141981; 579727546; 372625060; 893614826; 978140084; 108754822; 625977969; 120855919; 858583275; 210301372; 75765574; 799981265; 946659739; 312173750; 705014954; 345786761; 455959124; 683848837; 375075746; 522944837; 262678737; 154369069; 1932397; 47629132; 317369897; 891543789; 664682444; 589167109; 435268586; 762869958; 17818710; 411088516; 934001886; 979165516; 282732512; 842246650; 993340850; 765425655; 724804372; 886746082; 751827670; 353071356; 431048081; 389815687; 512764227; 904988474; 61378335; 799552355; 554357712; 503619173; 618324717; 305713871; 969228173; 8971801; 315780447; 593087085; 46082320; 569857061; 448123052; 71240306; 60079330; 958872018; 677413172; 215903261; 550548849; 496138400; 698585358; 316917204; 334406884; 706566408; 461931047; 159940101; 810112699; 770360568; 234304677; 628994578; 84884633; 831492234; 41824528; 344231990; 341716178; 334146947; 968411162; 959042899; 518922281; 43195485; 670575844; 469854356; 502097074; 103116892; 894314474; 900852041; 159816184; 183904483; 996918418; 647873817; 603415973; 651736262; 802134685; 464548165; 668414206; 223263759; 219937482; 74266175; 703690050; 550268367; 675859109; 619558211; 539879687; 331984098; 334896150; 254264418; 954906023; 436369613; 644734969; 7952555; 323748106; 444453808; 489120966; 205504540; 371785160; 962621321; 314572748; 158443756; 551139381; 539092408; 535157151; 453095133; 191986808; 139927512; 415532646; 578269353; 786938330; 133867599; 112291463; 501971306; 112572791; 271482219; 426477566; 334957912; 731604744; 283123620; 624530577; 145754527; 414463439; 835762552; 569253204; 647021417; 899611019; 648139483; 783546271; 722905929; 406870660; 220177151; 257115156; 989677424; 638564669; 794084726; 163248205; 494811602; 485359753; 878178186; 905114050; 237505183; 413421504; 630267926; 308994482; 52808018; 713243187; 886124452; 375251636; 414226073; 40309713; 470177119; 557420156; 58370453; 426761388; 814100151; 217594056; 768130432; 709256511; 936804933; 812388850; 473934854; 694624081; 250368687; 55473314; 320914611; 346005728; 980124676; 196710866; 495497961; 316320903; 222841387; 200414894; 361871595; 570676266; 951820647; 232363225; 646297520; 659833850; 239985993; 302264576; 177292934; 565641901; 275425144; 962329430; 695027910; 91654031; 119851400; 159195441; 161557392; 387833074; 983930143; 718526330; 974397906; 991245105; 464544522; 510965658; 660361392; 690958748; 794563892; 740799425; 484560525; 4975228; 890130447; 850649030; 973278645; 883604377; 943514809; 422394729; 474644286; 188600423; 909994864; 387985365; 836100452; 980216127; 35184911; 89584203; 41284190; 809588584; 392834609; 406053847; 262945161; 368719118; 689543145; 723313341; 594833771; 854113230; 801962759; 924263868; 179516333; 689370038; 619129435; 463288876; 940310939; 850205608; 294426239; 410434640; 255788608; 202280852; 979943287; 413416606; 670548431; 601842811; 297768388; 593535978; 412553773; 387847945; 696058314; 120000101; 160892382; 249870248; 817268310; 352648107; 603015120; 200726343; 757294834; 488465117; 877828288; 193027225; 816160229; 918698090; 877723588; 830661574; 947067086; 487237879; 412602533; 599087470; 586968550; 625614989; 976783116; 27669499; 925968038; 577413827; 628904109; 865419653; 985824032; 417314997; 388736640; 282237953; 181721274; 506660923; 934852039; 394830638; 676881626; 591829351; 316281968; 676580215; 934774637; 837844194; 250307987; 536586006; 319945492; 242190462; 854670927; 389609116; 435859088; 54306686; 182899514; 347404925; 404709504; 601291171; 273157726; 928901958; 380439931; 84392595; 728179056; 147307391; 748173702; 105978490; 824260486; 606222038; 230908235; 507853113; 374022223; 138039267; 379039132; 268494881; 682465295; 118179462; 445033808; 207036343; 945707873; 653283208; 701420; 32979493; 554651617; 723606642; 538038442; 802908060; 534120775; 662254246; 767375862; 459533641; 313612339; 55572160; 368357473; 595196330; 176527275; 526779516; 770398183; 929915984; 359308751; 341583644; 557120741; 539272575; 835866461; 642111893; 95934015; 782705810; 843133868; 931728013; 254937444; 866949171; 590256782; 725184175; 507028199; 914095705; 802593991; 245221950; 844617518; 583681378; 226022250; 297999574; 456146036; 568404957; 754243669; 351863031; 760727938; 140551108; 436342057; 134058670; 22778186; 810164820; 343319659; 71377554; 144972039; 316964560; 338607310; 839478251; 338370840; 611782131; 658871924; 797845843; 296296199; 321092285; 875646346; 510332912; 789545552; 686387788; 833358684; 61401878; 685550006; 499742443; 504455074; 30710842; 65989194; 697636528; 577552338; 351416185; 112366516; 685074539; 526585281; 108019800; 603606439; 398630793; 716404250; 112927684; 787789448; 608187924; 752243255; 860666686; 994180153; 216737475; 166810229; 607926265; 285228604; 356003135; 686409319; 324755593; 638362380; 327146865; 423303343; 839097067; 995275294; 794019411; 715047648; 259778943; 778412581; 532066866; 655613924; 610464553; 200879679; 213449908; 902813096; 657405833; 243672469; 713663871; 646042560; 768234283; 38657351; 881307265; 581846181; 1194837; 724116728; 426260600; 580201212; 579594214; 982488008; 941639829; 530600100; 656407930; 506200392; 507911364; 313639085; 429685755; 99490968; 240441659; 964709950; 186469766; 667489; 849569187; 846920699; 388249274; 219981868; 167083871; 335665084; 799592699; 507230387; 209591964; 447741012; 117728935; 231283373; 250299824; 565693581; 498780095; 926751486; 593973994; 667245156; 125018511; 287500832; 485003355; 519181311; 585439586; 751412067; 583729669; 347020779; 144517951; 541927388; 8976695; 966831212; 610478203; 671208605; 192406388; 52371145; 995764314; 700861945; 265776751; 223697058; 391512192; 940847903; 629210334; 498355621; 116921497; 281825305; 118912899; 71504280; 842293733; 741408152; 963656941; 756614071; 724243497; 583417533; 985223564; 211271657; 700745312; 574406665; 187503581; 155868548; 756413655; 887372007; 215345000; 513372428; 547237403; 193670815; 365162818; 25689577; 963517278; 564696413; 670258591; 825140395; 611919805; 189767611; 226843709; 82106259; 158348193; 284281044; 836891674; 195677744; 81146603; 900031102; 340536360; 825245509; 61875865; 24976904; 525032746; 464538035; 168859021; 5253876; 781683986; 975622472; 476142016; 429003333; 504460684; 636174451; 87732818; 349002446; 921100371; 698482495; 82638598; 256185424; 715666019; 996006851; 75736575; 269192115; 868392192; 742569718; 852200546; 81338158; 318387291; 511322034; 456630312; 930531977; 849413002; 756603499; 837111241; 774741060; 677776139; 112240494; 256370949; 921919692; 476101483; 284462102; 176740877; 481263366; 154261008; 631089872; 22426236; 192013105; 287675435; 958214780; 663778953; 515106458; 502558378; 436831035; 867614321; 912100958; 624183560; 21848125; 564694168; 930036774; 581350659; 495395489; 161621939; 816030100; 48020324; 603822551; 899301731; 597292237; 220944366; 872995943; 555046389; 699855543; 949833631; 510955891; 170328831; 959114800; 244371862; 870046704; 807787720; 293926675; 155557956; 416250671; 939843133; 202631677; 123983523; 268053880; 274964110; 495411284; 418559713; 855373173; 753859992; 741789692; 663827225; 679872007; 154369040; 882183665; 849463056; 482392694; 852752099; 308404077; 758494431; 979191618; 306856633; 440723308; 229918791; 518583705; 402544924; 357665724; 777091753; 93701372; 794782341; 179290858; 450619505; 774441643; 182837969; 583388944; 807270143; 179331156; 164307532; 120385381; 403675468; 188971425; 96686328; 30676204; 600749118; 662245870; 656634224; 200781149; 927859499; 476063090; 140035651; 506460728; 183904040; 889657059; 910883559; 974219083; 828687641; 235264056; 652658202; 812386303; 909375772; 264082892; 67400816; 110103142; 627388424; 9119544; 166512409; 734759070; 304730875; 303609215; 587148515; 644272817; 405507746; 389837295; 538026175; 352934206; 356541679; 66233068; 92984368; 185057855; 41162295; 660723986; 69911455; 959136456; 644817879; 339604125; 915527276; 115260813; 24734560; 678416148; 399550475; 802110870; 861183443; 949690083; 989383391; 726905705; 333691155; 892336500; 134987850; 140049604; 108818016; 959038740; 502124659; 972194563; 979040303; 146371198; 610978133; 953640991; 48689143; 489584557; 178298253; 14151795; 778646568; 204051352; 709419780; 976818193; 344671654; 676066647; 787799296; 975941793; 28226348; 72144130; 395027402; 393872797; 574698018; 575864379; 538024997; 220031105; 244014619; 832700112; 493643062; 250912016; 483372239; 893517567; 360806162; 676042004; 432381047; 712324969; 568122308; 810001484; 820306000; 550686506; 758846219; 487209294; 147190730; 632518840; 481636198; 154528739; 156628209; 440935704; 632325171; 490032030; 460447179; 30559327; 699272373; 424458230; 63040552; 233681173; 632838827; 967073057; 505265606; 677765657; 429033922; 679469304; 468405202; 574402831; 419150830; 460999301; 629986801; 856991174; 486829970; 141736206; 827158052; 290077018; 289752770; 533428486; 264474724; 809489780; 518223420; 846693426; 284635790; 171434074; 733665808; 542331970; 850343871; 478553060; 791655681; 835912982; 508612241; 185510916; 641385212; 366933385; 103815404; 416972346; 721604448; 910636835; 46616831; 64536639; 953789269; 424400047; 722422212; 916189094; 428558205; 38860125; 957705234; 708037860; 491511604; 761045167; 109979314; 670307346; 454989889; 171650330; 564692364; 280306803; 418709819; 137875667; 342030048; 229367152; 149120049; 501718429; 33831039; 506580859; 952853273; 929724643; 145058205; 934461306; 22423321; 249488177; 870968334; 688902745; 612277208; 396146631; 470195023; 770832369; 212653200; 74176796; 368273873; 161898549; 690475854; 839855339; 498084105; 621405520; 217360716; 372215960; 919851856; 63174563; 662487135; 367268789; 50129130; 387037923; 480977403; 260227256; 731179737; 804578246; 972236660; 17783449; 879809581; 713907094; 104747130; 841525181; 224986061; 810501101; 948385464; 901738545; 672641988; 565067218; 810612010; 711500682; 186640645; 511933045; 408335877; 695811672; 280711254; 691415576; 938378229; 634843296; 886312030; 436029567; 610139166; 506987121; 258795039; 211454350; 514500975; 906376134; 267253159; 813354546; 886754846; 595669412; 382945381; 418941655; 833568736; 573119539; 238761165; 700009996; 984594784; 18845703; 34561892; 534356968; 158502379; 88702501; 572499964; 181267077; 94709473; 133139866; 923193180; 712314096; 254120230; 245058981; 133342451; 861453434; 603754123; 318528569; 503504253; 523209062; 345972302; 558142250; 450337033; 84089248; 356417917; 82994929; 399397684; 300945663; 691227340; 113423128; 264733736; 887143386; 132275156; 900852156; 345172505; 785737662; 329442469; 905218181; 591326656; 903103463; 328396309; 242327075; 931769756; 640253689; 373480107; 139412350; 926531359; 265492926; 833627124; 272831272; 853389730; 513445221; 1083346; 42816399; 32880107; 450530462; 383586345; 664051344; 25821752; 400354820; 663027080; 339372648; 740168775; 425312513; 655191119; 682605126; 389436614; 952854995; 769091326; 710729549; 369037303; 38695168; 150473237; 274250503; 500285072; 350558561; 393953017; 402075170; 789300753; 514993484; 345301010; 953143676; 389133399; 107789759; 881596862; 112238186; 181343293; 924831285; 49281199; 632592620; 158095034; 893863227; 839310784; 362464046; 655773048; 50079996; 175112238; 442878970; 125160968; 156850834; 344979195; 480777122; 708832936; 433513978; 775297917; 222736147; 853224447; 103387810; 985213480; 691082501; 241330695; 817424227; 662649345; 679517422; 555067904; 148359905; 719997440; 848400644; 976553663; 444451710; 447409797; 672319064; 770882174; 906486338; 307044604; 594830345; 227346800; 92137219; 676048349; 66369241; 852351550; 799987348; 86167374; 611772364; 926842479; 17141979; 51444996; 151385823; 715360328; 568934839; 92890082; 165849915; 866435016; 448231458; 791707869; 157879270; 687208620; 317622211; 586096249; 595863012; 838681272; 146773905; 412052187; 134776613; 518239280; 55723686; 206532512; 801428806; 368436552; 998121702; 791740334; 103467128; 24521703; 563028423; 931245924; 618541461; 241515132; 433440179; 325705698; 594512658; 687343628; 261523587; 554090248; 179731704; 249136034; 639881113; 427969142; 828488849; 251262875; 990829092; 512759032; 177221410; 485324910; 247674333; 789414142; 697572706; 547477822; 420690378; 224665220; 510905314; 776830129; 942087061; 22293421; 687092476; 647412509; 475201343; 794474071; 631368484; 532702089; 623877233; 23320229; 463491761; 997355758; 315270126; 561938481; 473827980; 676202987; 682999697; 643667190; 928667813; 413308059; 109129679; 240399566; 303786633; 21242048; 701653363; 628255087; 589380695; 970619062; 567622777; 498929707; 391786289; 120872345; 953825468; 178697409; 180706907; 103108761; 914847987; 891776452; 764962593; 290207687; 973578085; 397995109; 310447090; 149935340; 533652285; 545861260; 472324674; 792481982; 782720842; 943216484; 871199018; 367121275; 498206727; 133375414; 921176830; 169657730; 204047610; 895788829; 25245392; 196507033; 402978710; 532307792; 246581599; 619639777; 977683775; 351965387; 944747563; 892768094; 332182077; 305097613; 764922091; 699626423; 883694056; 114218404; 499347017; 48343851; 454321315; 938317708; 874743528; 414202812; 432531817; 996502035; 111894910; 621011237; 821140869; 246896833; 361704938; 927646394; 384823902; 80615493; 585160186; 778004616; 770121707; 515651099; 218054173; 67604229; 168657039; 388051413; 791606017; 716016852; 255284347; 951556050; 424024570; 536446051; 485337530; 619147274; 232383920; 451656243; 327224282; 658300683; 134923492; 118503889; 88709321; 576312939; 362720008; 154979174; 866195828; 44557524; 343772391; 467427385; 463157453; 567221328; 50259238; 256626825; 908461889; 856014399; 888671571; 986100554; 792517767; 705561226; 658919579; 11648289; 105838993; 179388303; 377957652; 92716195; 891556069; 175153150; 322508867; 471772642; 297442455; 186432210; 977148835; 802934790; 193686272; 367206893; 693522728; 755277403; 506990944; 990043328; 262348022; 848238682; 426331918; 221016101; 763521620; 792326270; 729030620; 463621173; 625429167; 502373169; 361042224; 361303993; 85556684; 354677242; 698050116; 987066419; 300436851; 500058453; 118118312; 534854497; 396539753; 86469022; 413496464; 570461401; 828540998; 713945669; 539291484; 517820579; 509272202; 544622201; 928524402; 269694940; 932484981; 566257689; 173210067; 955787170; 67157565; 581031594; 811900638; 586839078; 339468890; 515099470; 242485208; 824353508; 986183975; 255872684; 742036283; 546249310; 939530200; 946415828; 465252525; 227516877; 348781836; 638320049; 869840678; 392281551; 727547485; 726520252; 925065447; 391896874; 945067143; 626528808; 463391501; 39956033; 399416140; 792047759; 189183408; 223108090; 577419666; 188886490; 409314372; 344739709; 91842682; 802660577; 775385922; 585907193; 173670578; 442785603; 339943873; 725004801; 745078031; 485678433; 337698141; 147044095; 616979992; 872825833; 412038078; 785708293; 369183324; 724710034; 47783561; 672767096; 543267225; 923524173; 765964990; 382464210; 264061885; 540875496; 434451230; 30586776; 756418148; 80043325; 449063426; 709401689; 444575640; 247407390; 28980203; 771115960; 30107921; 772252249; 846775980; 819004021; 676221381; 478470256; 703337569; 209156355; 541695803; 269639210; 505451560; 555395133; 635800952; 235995615; 790852180; 87324308; 382998712; 594511060; 891707440; 190396687; 176596908; 43156633; 941954410; 648400988; 922583347; 114767362; 945546002; 314813137; 13005418; 478495844; 422601859; 837013936; 482365461; 977488859; 823289449; 198806996; 882632843; 452464798; 178242855; 277193015; 287740621; 219725053; 480087204; 852465188; 836342315; 858049576; 931068591; 242628187; 804452383; 379457474; 415349151; 34134877; 75525069; 883484808; 770930294; 103699448; 225148477; 860126035; 530205962; 896105485; 893585601; 149446642; 579246069; 657233871; 659241552; 314344696; 353997273; 266178639; 33890620; 622815764; 192872543; 176848281; 825968276; 656335882; 260275325; 196563879; 79708479; 698323720; 230781939; 568052089; 875190194; 839714946; 8271146; 497432465; 133297543; 248922555; 400973094; 474882865; 324042463; 714439939; 804994151; 76220808; 37259698; 733059336; 520533796; 437097754; 795386139; 922586058; 239423412; 542722559; 524284603; 448889212; 963669499; 693547942; 618989640; 300376980; 471944681; 872437016; 607328568; 689862877; 124588470; 510073941; 679932744; 871989319; 720087774; 456013189; 158761481; 107755167; 777484687; 952528269; 484906621; 73029698; 825833843; 893572445; 716610155; 685080223; 819207557; 55487669; 371022081; 957075576; 206901571; 128995626; 473408054; 170213467; 41859960; 153983680; 410983926; 282980694; 929205508; 755523825; 280602845; 462896114; 690331456; 61544344; 873908359; 567498314; 727506942; 877234580; 803580141; 366006584; 440399415; 811255390; 419562144; 685640372; 753520228; 739046441; 863913911; 522318220; 383725776; 922705083; 135128764; 123307110; 95678323; 671206121; 480326273; 817961646; 352946656; 683373929; 613342425; 982493079; 208124636; 357262010; 39908237; 704626811; 472249052; 58786907; 444260276; 841677020; 40282331; 111642996; 497822646; 891845811; 77155903; 174839970; 285907120; 867652085; 977183814; 50166451; 537129325; 360557594; 30589204; 191517878; 728178150; 45774327; 358398763; 217651242; 279650020; 960242923; 564023353; 604478452; 264898023; 701263051; 482765319; 517073597; 312169125; 980681078; 946245793; 460498969; 541007327; 763764596; 369828957; 111146985; 675455423; 428592252; 576619190; 773311791; 206889353; 1858521; 629550396; 576164047; 994284256; 877643220; 116186676; 550340145; 632651028; 962709771; 324695728; 184419501; 65132283; 399391901; 886632022; 489068778; 907708960; 857079288; 509314508; 767693237; 962143335; 513923425; 172341046; 431372955; 176499864; 616384639; 643731481; 659508590; 278830990; 177290528; 598169567; 474576583; 774740257; 43461888; 215929927; 27839118; 737403200; 549313680; 401571084; 802731273; 52439810; 639416391; 247800509; 586960320; 145335884; 553050034; 504033443; 789279436; 207527954; 972812852; 398447149; 470087868; 910477183; 706075787; 845297024; 604393848; 511675477; 153243637; 172964335; 836686006; 766775813; 17969507; 624329194; 28640917; 795472736; 345797014; 536946009; 437203843; 542990698; 235123816; 219389445; 946191066; 530003724; 825049178; 883782320; 233139128; 747664920; 159131373; 218058481; 501498126; 480628427; 377744906; 360017490; 4599842; 763699440; 612199955; 507017155; 580517880; 195041880; 581655641; 417569233; 691342521; 795537087; 817436904; 83464536; 402207893; 48526753; 641626766; 783378967; 486666582; 573904754; 837811313; 426843753; 685948879; 849589385; 100734396; 701788250; 316236400; 624157031; 595728406; 182603686; 739976280; 52013139; 180497979; 235256275; 83968124; 780257230; 755889544; 580154480; 896340973; 505643332; 220421801; 970195177; 821188353; 925809722; 603121721; 775563878; 408645271; 637195277; 531996986; 131951884; 188234394; 543644842; 323841614; 4669286; 458891516; 785549304; 860488210; 529090837; 61591599; 978989798; 64128009; 580438561; 434617; 549941087; 500739301; 546865034; 564938155; 655329200; 306673431; 551802106; 183974247; 402611875; 454079597; 683836713; 173660424; 208096617; 670700095; 301105128; 428209056; 23269986; 820836390; 306464030; 700065088; 529546486; 511913502; 86039739; 874202823; 232839817; 686925845; 536565574; 913600253; 655562178; 376795612; 430887132; 344960895; 802060467; 281552131; 14313634; 246889436; 397326514; 955315695; 162569141; 866212734; 931225625; 197910259; 281821694; 858390270; 301558087; 343900381; 193763921; 946111126; 855696787; 204837982; 51001967; 778910105; 336079431; 936027010; 221487219; 146753504; 855018575; 986713871; 66349425; 388969986; 970208674; 922633362; 105860839; 143579857; 697883007; 355998729; 510902691; 456029307; 876306243; 881596365; 255546830; 200794913; 323774204; 559186197; 416069278; 373366073; 649062686; 901925058; 153214038; 814408936; 445243575; 703250814; 530599227; 558714306; 755998654; 314751303; 637241561; 801447096; 982434867; 748246341; 839395071; 468253021; 634066618; 161423699; 929407304; 697948052; 500992041; 45169671; 437363728; 819436689; 945945975; 429148767; 428484734; 640016665; 416293388; 696276974; 314857212; 787099318; 589672242; 106034264; 552624940; 193843183; 114926839; 496784110; 779304648; 789153836; 859877683; 117857303; 233653577; 197372845; 909562627; 575477611; 222448729; 274867843; 987782811; 674874032; 506115429; 91898881; 67831303; 192874664; 485177365; 259553545; 723227732; 542122434; 240440942; 589555874; 262053801; 735930088; 819992317; 940343737; 354344814; 153123596; 113653838; 91614143; 930692310; 435690203; 792963494; 970668837; 191883722; 521507088; 99881613; 844117840; 79698466; 387659479; 667089400; 719691651; 51222470; 271198767; 116578498; 490465099; 363115593; 224175914; 438633568; 338611434; 562460801; 919482815; 857770504; 137409336; 766973915; 540897678; 326373823; 669830074; 238095916; 290531937; 174656734; 865750678; 570481728; 893364613; 445144264; 146259860; 205133219; 393446158; 440055069; 911151685; 519676163; 391113001; 895631812; 836078273; 469047516; 860907448; 283246223; 990592237; 81041995; 410726404; 472554693; 538586876; 397895190; 214423856; 46014977; 166935877; 748505723; 673814494; 773209835; 455686601; 285392771; 871220947; 532647412; 210388814; 535507879; 425893357; 936249270; 511428404; 733504190; 488978310; 68310736; 313234724; 464010732; 91355636; 460023193; 877935795; 229955517; 4880217; 910817706; 7918478; 133426021; 551872990; 302050897; 160668425; 154655165; 778955078; 670307870; 369170730; 899692172; 117936743; 827644163; 235492811; 6975128; 166426112; 457620664; 550426157; 300288703; 158036572; 801926692; 356965713; 32980788; 770636361; 951955391; 902222840; 295510504; 650132753; 352675966; 591183248; 57689310; 542385088; 858456354; 545610857; 887721536; 992677326; 313633132; 510513056; 422188751; 979677131; 309665170; 604417226; 427338505; 756356927; 545660883; 928509258; 254002522; 511583052; 638391146; 602313980; 641102283; 498313092; 906614485; 431912746; 632236205; 110906326; 11434797; 770174732; 639451530; 748835801; 263263255; 929415803; 637860715; 683859254; 933935983; 452168911; 217815193; 552344341; 829976894; 924114238; 450621199; 835431675; 227905664; 700985106; 158281954; 430008815; 210011347; 675606623; 803428910; 808448783; 405665992; 396869453; 220282403; 550911802; 694503555; 6020860; 63202391; 873673379; 502707829; 388681233; 593020488; 700138282; 232579659; 910337697; 450908024; 161312554; 376576220; 731591286; 524601264; 187132358; 810250886; 143281726; 770405281; 414267488; 417902791; 460311684; 644455231; 182425244; 165918109; 375315508; 91245628; 467386188; 367132303; 101557410; 129661789; 741265207; 983971385; 299963259; 176615294; 990841721; 297755749; 752158305; 714691560; 600801383; 596310924; 961973781; 522784858; 952973395; 620308790; 540907136; 199891293; 371936865; 757222258; 662893399; 906248154; 261689317; 578889047; 434330099; 961677920; 359898020; 827783042; 315835458; 728740340; 697650896; 692884790; 32091554; 4895993; 391389244; 396767415; 822752752; 683131990; 450183243; 880996415; 356978343; 553707856; 676313995; 640846151; 387458261; 75470749; 316211098; 678780813; 233158909; 68842945; 270435605; 716140720; 810531682; 474602774; 546628457; 60063610; 401672175; 763318775; 951906710; 264292163; 610880530; 630917876; 533273300; 493510665; 113959938; 616910386; 625413362; 717130036; 617493458; 814475753; 874754357; 662415142; 43756929; 153351095; 421934175; 421217369; 673899712; 150339664; 75690215; 971819766; 638966464; 908935710; 24347656; 38878655; 396641918; 939612598; 129638095; 202324437; 745068693; 755760581; 598958022; 951518347; 402327480; 259819519; 963936492; 709554503; 360132883; 111161579; 369191749; 180571619; 984748125; 681495005; 649568324; 520675781; 84825880; 320491579; 226565505; 348015602; 491494349; 884006807; 219334300; 680838709; 494474319; 336292223; 181889074; 314153474; 262457449; 340795658; 350212683; 567498181; 547923925; 346988838; 558843786; 302003702; 890502445; 572606073; 26234391; 910200592; 199689834; 386731372; 347602207; 835600446; 568971933; 248909861; 688971337; 175547514; 444407653; 968093800; 313899831; 464465091; 464797103; 944109860; 223661678; 636611165; 372938032; 332683147; 410115821; 889934310; 748319446; 70611199; 515244521; 95536253; 957923924; 627772664; 157261551; 273545487; 961420637; 352405528; 82599182; 267969423; 317468430; 977029261; 529677032; 194700360; 220370751; 389120743; 616313227; 20052784; 891551388; 117572729; 989454960; 111832743; 809522295; 850160525; 500588312; 85356595; 567143664; 375058752; 37715614; 797544957; 729121731; 728053634; 735241176; 587469906; 682977679; 738490039; 649233463; 566356354; 216942959; 625962443; 162005011; 958450; 844412329; 7766177; 519688816; 137483937; 232547599; 876870507; 319878491; 297843482; 661582061; 796516549; 124215089; 694296659; 243650922; 652422666; 515643363; 994660867; 830707321; 487121289; 494426613; 177591038; 243255062; 994574944; 227321500; 60973858; 353156192; 389696161; 763251468; 833865564; 353553218; 636625812; 240802029; 179872000; 83990205; 718153908; 467571371; 678034169; 369749190; 961580824; 30948862; 822460898; 423094653; 712535888; 635499538; 465381164; 731032655; 97788148; 146975682; 223260408; 974184348; 43535914; 444837567; 84992460; 754115521; 172649296; 170809303; 369128350; 596412290; 896418960; 409953170; 956438401; 800506382; 267181255; 187537565; 248894095; 249002195; 516699693; 158674657; 222528881; 634818839; 19637748; 289385958; 344077786; 125244249; 880015720; 742919271; 747284343; 455690045; 734401708; 288094953; 927656907; 976677473; 757275672; 642092852; 335719371; 543650979; 66417331; 729611199; 139193587; 414895728; 715848195; 178265431; 411108817; 326922939; 830495338; 787321721; 529073008; 954102462; 921550345; 355657777; 321197797; 258516482; 212422097; 367416405; 533912345; 51283149; 828128931; 202245659; 528092845; 64916053; 947738828; 920451580; 133284386; 593351445; 938289451; 351466166; 438649250; 943205113; 392228215; 67913884; 936320498; 36156904; 526656089; 859016191; 854798693; 138243035; 155956801; 203548298; 184216462; 232830157; 178896234; 853531059; 121647360; 28360431; 663938059; 550318240; 139681926; 411098125; 809191494; 9869704; 316645398; 646671232; 406191046; 527835964; 414880370; 558339213; 206039048; 899490719; 64769839; 711487135; 728239108; 379292826; 914962017; 512600176; 202633540; 809469112; 659106644; 211000738; 963038874; 64920713; 97402853; 461984447; 686703313; 456626397; 727526908; 748690819; 110907065; 127445893; 590242054; 208626363; 777425254; 895597025; 697214477; 251187911; 390629465; 644636480; 39842796; 589137810; 577664549; 773080973; 321220689; 741958674; 298005059; 999136415; 344885183; 136548444; 218724621; 84022976; 539461690; 206465010; 372999564; 389631359; 640898717; 857967784; 658009036; 903031300; 756402289; 222776247; 716333167; 501941090; 200896482; 333568171; 869592913; 945860733; 455155212; 968466874; 784233281; 596275233; 853837635; 157021605; 268069090; 813677724; 735692968; 244229826; 374818623; 557529313; 973151867; 711863827; 830455263; 387150270; 483532982; 605946778; 925657330; 751215508; 794475860; 526018907; 165891067; 982908503; 909797118; 914838851; 194578196; 393280347; 275662416; 747588175; 802598465; 377570191; 408214024; 985120430; 813173515; 883918032; 285125264; 721882894; 922552000; 102030883; 701827069; 273382032; 977921054; 193101501; 636104234; 939552731; 645777883; 619660433; 543562896; 862077727; 721790508; 150575405; 891728093; 386926372; 81577195; 702500911; 917784518; 957600157; 20957299; 694769074; 774982625; 384890556; 166274549; 541543466; 147057234; 25024953; 454734480; 399917628; 842904145; 368216882; 172423551; 669010744; 472163724; 339850830; 195999118; 935292849; 715500090; 241546277; 601922235; 456891985; 921354614; 146448220; 742573627; 404660493; 23039859; 81872365; 665465177; 221172138; 162690282; 78027931; 524363102; 669433204; 814169175; 432162376; 835079496; 525507782; 72516948; 823455172; 666632452; 785572315; 719371514; 716705307; 586864749; 995374836; 595255660; 945724333; 728896130; 584708278; 30899272; 187364606; 173728282; 230426893; 858377795; 434979081; 715056472; 252829192; 245004820; 58188436; 639823531; 588800093; 941432722; 746174694; 526006380; 1958; 479744852; 462502264; 429330463; 542470693; 331263214; 645031246; 379379156; 127240803; 190677416; 239776697; 52718927; 693267871; 541512151; 104136877; 392589197; 957209983; 378560468; 152748934; 569874279; 925819158; 234075257; 164319788; 301650204; 681849036; 420700939; 554849216; 106421995; 15097217; 150379017; 784270808; 82690133; 24097920; 106064211; 772894514; 268484678; 670016575; 772389510; 80610121; 593121281; 197895986; 942909121; 355358747; 25367399; 544405038; 381942609; 856925130; 266100680; 507466104; 960199942; 359338121; 277476733; 708569503; 150730259; 952313618; 278628267; 385913012; 970415092; 285407119; 510654327; 819208144; 130041473; 494160996; 940220770; 536235432; 842677544; 344039374; 23582132; 928827788; 316852531; 495311962; 872484948; 577812301; 403953051; 227778988; 911600304; 443115943; 946403669; 841601401; 483800017; 535280198; 684169826; 333391457; 882830418; 711312944; 701154573; 298263834; 200428464; 570942451; 973946290; 517264814; 521144879; 887668960; 451403939; 724890825; 446869309; 350761348; 36650082; 746110305; 831541912; 964244859; 141989707; 452601252; 518363412; 733120851; 229486164; 719947905; 205984342; 433490592; 161707260; 27376149; 739660220; 889716281; 217131743; 689686484; 421731112; 412285883; 158363325; 940881309; 37149388; 55818439; 861867604; 467528040; 833613457; 611268775; 910798823; 431282016; 431605101; 833191802; 653997821; 45339660; 453409106; 161691509; 991387701; 550569599; 860637959; 423526771; 632106124; 837520462; 803457184; 470371210; 708520807; 105942629; 475376416; 568000214; 386716756; 727941887; 998159332; 855557059; 471228581; 676893914; 135915545; 829559600; 54940739; 628527045; 41962397; 83730689; 392283535; 116906011; 37819840; 319587596; 448050875; 357182550; 311585833; 590194695; 567322957; 744956905; 476709531; 364836315; 686983024; 106663910; 384479621; 552374696; 777973016; 982743825; 463917137; 776296335; 65193492; 216328234; 600247580; 430276259; 499503531; 598437562; 53159799; 267302943; 157719371; 475084574; 669420330; 202597296; 964557115; 658635188; 922114932; 180385258; 971144122; 93607581; 73873084; 245990404; 804407980; 512944784; 947492282; 40664386; 438194674; 975648859; 607774415; 373808096; 802849308; 997000119; 482181269; 27357450; 339098524; 922135997; 133240092; 75859775; 557966796; 739511044; 632754624; 310138246; 258263012; 382956774; 618444027; 12096907; 158280345; 634837113; 590669773; 644208890; 36622098; 822674695; 502128290; 595551847; 641502665; 943265166; 200670750; 857052272; 700198883; 781722652; 611799401; 268262581; 790239433; 77628568; 222040384; 791417745; 672849684; 519807835; 984156859; 820493560; 389728834; 570370117; 563333242; 813944190; 840318060; 818394233; 728203735; 667074542; 68443062; 571876346; 865863664; 515424298; 70284705; 89225825; 796024953; 211299516; 638986858; 19206486; 245064993; 459232596; 762755868; 925548269; 176264672; 428904928; 514998171; 914337318; 597234558; 811121118; 646161365; 33444346; 46993444; 657321838; 876369593; 704093583; 793943104; 861449567; 995385523; 477644299; 466329479; 127909550; 746389073; 835823272; 967604279; 66865028; 213239399; 702493183; 144961253; 965624821; 266271161; 495190302; 594015762; 436799730; 631071172; 29221119; 22948761; 648402220; 183770157; 853359994; 767614022; 37618073; 642171407; 362110653; 391872580; 244809005; 433759967; 69277507; 254473129; 796192773; 67913432; 511390264; 328152966; 830916949; 328002463; 171380057; 539340368; 246885562; 118475182; 175531845; 431019291; 668346118; 917342657; 876785734; 776825460; 747791085; 535394670; 376224528; 980277137; 275066526; 107106766; 363445511; 433246373; 376548375; 424628738; 675780691; 380817906; 43653205; 397271550; 818212546; 698528160; 392084342; 863092423; 919532478; 849157910; 380086335; 722440649; 486391551; 788286127; 30415521; 670555908; 555012147; 60973911; 418278927; 464952233; 382509398; 100017474; 983009253; 581207262; 165311622; 615392887; 831027031; 979263881; 417913442; 775516469; 513631643; 806177370; 62819836; 510271010; 13505684; 296538808; 147599904; 378628670; 93871363; 463906755; 75635412; 769041273; 723131327; 936878565; 484948047; 47728735; 477733590; 223654107; 694300695; 34095272; 20527544; 419045776; 481902851; 868692715; 783673456; 283535204; 56434250; 393668933; 312441180; 365390394; 736278267; 182537019; 429676919; 549152525; 998058890; 724570387; 174004904; 631224329; 458793397; 621178479; 769478069; 979797085; 244695033; 873886272; 884669902; 584790574; 670248620; 180600872; 410133841; 432993964; 423345414; 744222719; 104354657; 494579510; 829917913; 551807122; 929864822; 595267116; 480936141; 283223566; 389063548; 877009072; 79722379; 47227362; 800064967; 283946672; 170664274; 710654503; 548729310; 403713930; 429939433; 428211802; 791359895; 70106574; 719984296; 982584364; 485344188; 708739680; 684145348; 447940746; 733132311; 53651676; 365595475; 237000270; 379144276; 398249496; 110549441; 709642956; 880614504; 114611470; 450558842; 167818502; 522418406; 957289737; 319232254; 261438802; 714759520; 248420252; 705170553; 548203726; 866752171; 929080744; 955528359; 416815139; 924498222; 174611323; 20768661; 83848121; 958755281; 821183011; 612301920; 632863849; 230806172; 771846666; 934013582; 862125288; 292956065; 661678154; 716501101; 532087038; 814171628; 916686117; 131617618; 280995974; 571531431; 516144896; 952847541; 274237677; 355069352; 961976964; 99537590; 514918914; 83101038; 437304430; 760155502; 269686436; 268164490; 569876070; 344893; 131604046; 898759912; 943570576; 238006123; 884319254; 282315028; 974520135; 372057733; 25671586; 490760034; 681611186; 909405517; 635099769; 404502661; 719532465; 591547886; 316192465; 616258829; 274942579; 671331590; 333771723; 261635649; 146167920; 547854058; 427365141; 891018211; 71213464; 208671706; 492615399; 740412641; 722793765; 875607931; 71600452; 648772497; 48820374; 912188134; 896185613; 770545785; 576993909; 116284926; 80213553; 445171747; 118177936; 73179701; 670173081; 350493744; 422607862; 420988921; 261843199; 148856786; 629814130; 605116683; 705958541; 615801998; 240606235; 830530355; 664221750; 630545768; 145051380; 636018365; 27058603; 694644091; 940911461; 67706917; 33346146; 15340200; 335230335; 694971091; 214386961; 353281746; 228345711; 700480486; 443781397; 477432894; 225377796; 926461958; 945636381; 507930292; 672403721; 887619114; 921770428; 572657525; 964029437; 390070113; 638716065; 646479814; 890288101; 771582782; 871146570; 41151076; 966928134; 92865487; 539898182; 21076988; 57537011; 991346991; 228957946; 464600575; 382525153; 300641998; 832664474; 824359508; 137134524; 680028965; 614581756; 689634529; 328166671; 982052474; 449672674; 723325838; 342096595; 78348297; 113489583; 908282164; 727036755; 395918906; 130017047; 684926379; 76871560; 708751226; 673646537; 542158035; 497794195; 751050710; 579484380; 516396499; 349684726; 471728143; 694775557; 342003732; 379819112; 776775123; 764639508; 145249619; 632054073; 554432423; 373163070; 500874082; 645203606; 521493659; 75520575; 398238042; 729563595; 572809314; 894871430; 492183280; 825986750; 444274904; 475642189; 909726612; 562234435; 491467592; 999398990; 540760673; 717289750; 378137303; 598798820; 172747652; 737577853; 410832015; 228850555; 245446282; 906758776; 367540169; 48428128; 570277426; 194224495; 345456259; 150513113; 517196863; 578141764; 519055590; 234861056; 534953977; 786758554; 947600810; 910483202; 257276548; 56008296; 155665743; 775652795; 419738443; 112580916; 177434521; 713144450; 317885711; 130107322; 651853735; 293492120; 413691750; 461504436; 910658565; 335072923; 423367279; 879185886; 734825706; 425220340; 97072690; 576990488; 677782717; 48451478; 557805596; 593821291; 804262439; 950695923; 784568353; 630880490; 526397929; 856056900; 913272195; 458060316; 774639946; 721445809; 637712864; 304725532; 818228795; 295306783; 184546077; 141734298; 347906254; 49774416; 404260940; 616087943; 58205351; 851299527; 514815267; 846868849; 250008246; 671909215; 874932052; 105658829; 596133242; 615781967; 601034059; 200800576; 472609936; 618548730; 922440066; 811764485; 711032875; 119874175; 280312923; 31459506; 9328223; 888128280; 948210273; 884711945; 331245572; 783388565; 394468564; 922306515; 448639455; 424031696; 144673781; 888725445; 773412260; 55980651; 749457542; 949476026; 887283899; 635915248; 954298766; 126817445; 119282390; 296748366; 343411938; 517092783; 561087250; 81894328; 885376708; 952294369; 385046332; 505282341; 240520897; 739154540; 586332761; 964068643; 773779750; 837504911; 467004867; 277879514; 547544565; 706654946; 299607742; 364969530; 381748974; 973352579; 972417896; 901835154; 434983800; 725812239; 491361808; 476469188; 996748598; 485612692; 194615889; 110881479; 317577000; 88733356; 602652087; 997248819; 283276911; 236710787; 512684294; 899174116; 763326719; 100366286; 594004121; 129853275; 659454778; 713288482; 163448601; 822658367; 818571197; 217880612; 744578961; 763877722; 128244015; 269348839; 955580501; 323173465; 520327744; 769538827; 583069894; 822591628; 884415917; 960497857; 175971242; 83679696; 721747313; 345824965; 514058454; 451760551; 685422560; 399517771; 189497699; 591031879; 38722151; 538283024; 384127219; 624120671; 416021080; 936977166; 690347391; 214097696; 155012691; 525905417; 662701552; 676657682; 721417575; 160607534; 459144413; 691902812; 168673408; 392841164; 891729707; 716616226; 120032522; 852704988; 443518315; 848085029; 690072265; 137858086; 588933600; 70274567; 201276973; 8227829; 172480978; 218313439; 977158825; 970629418; 736127962; 40574060; 970839634; 392973445; 579743524; 51024189; 518070205; 487905691; 548703481; 713898972; 152238557; 621488599; 392088466; 396299744; 442898194; 611137602; 556270919; 307914059; 446282217; 597901705; 122121477; 613159157; 810369457; 572334902; 153845079; 302325750; 176149717; 594991824; 937830030; 448500360; 779333101; 871936371; 242325635; 981431182; 107514097; 353815769; 421272989; 375617414; 879761144; 229730160; 338797494; 723923767; 685019054; 275922886; 972879223; 201638664; 482877178; 361160724; 966947203; 915675323; 728861657; 172117816; 436106606; 478536049; 944028874; 965517561; 951110269; 512502652; 805433621; 460296730; 713636389; 270316450; 564268748; 995015860; 274474456; 405239036; 259956535; 901624971; 543809857; 226588531; 411121587; 975934121; 862478931; 472943243; 780627626; 968013732; 389496674; 722615386; 222109894; 751411932; 868093594; 518040041; 944125701; 718279046; 255600702; 898133028; 927428912; 556640216; 838238074; 13995751; 343443251; 361576984; 425468183; 106220729; 734991052; 124294278; 829387760; 6736488; 138856701; 726659744; 329581173; 886553308; 123694507; 519932012; 814568176; 499495310; 185253810; 748930601; 167638809; 814832327; 348542050; 341382591; 597484306; 77686481; 882004056; 167963533; 194520587; 354019464; 696454755; 331910011; 545476836; 171161904; 681893847; 475070948; 500870727; 960905888; 989037829; 643528959; 11412721; 266157382; 769242692; 819613727; 959858575; 355004319; 350579535; 461214221; 199006927; 545363272; 528884010; 867854176; 639117112; 739805362; 303773281; 760180308; 562865710; 259821382; 411419702; 969259030; 702574339; 242702561; 171224733; 134168394; 416376064; 438964874; 952158997; 433642414; 667329746; 921801799; 950053359; 960742877; 342460801; 728353746; 877996260; 709392336; 100316307; 772495649; 948596130; 818734629; 132773911; 914623182; 700261400; 600464596; 947673081; 288626711; 622915801; 108004534; 39559279; 891927177; 616417063; 833276595; 583795698; 17784128; 642922285; 231440286; 384990378; 934631639; 772428670; 275317067; 453359734; 125394974; 647628493; 982930061; 410635836; 124569477; 963408839; 513244618; 516705100; 257982258; 278738716; 276217595; 374024569; 945197424; 311082578; 91401546; 424908563; 29787843; 687447094; 947321993; 35887176; 897415583; 176500769; 106785452; 525650564; 364048765; 456709834; 725710367; 927708211; 915724142; 55725238; 438815885; 965967140; 166616372; 276527202; 888056674; 630106586; 476779036; 98919123; 747644827; 633137544; 767158948; 959072818; 767005742; 820174844; 540285966; 414863431; 942185355; 759716271; 86469010; 427027088; 747120285; 381360095; 921576020; 940036995; 404017953; 955523216; 57440028; 943690952; 838677234; 53701121; 46782032; 996699820; 410893343; 994262070; 156493209; 663790423; 345668250; 245138641; 14295014; 240913354; 272731573; 504022188; 859654138; 510740021; 466139760; 476737305; 667822759; 150228754; 858787789; 495060068; 145935811; 180008060; 732974186; 477476877; 931308206; 920075435; 164656465; 545685736; 243150944; 995687426; 405640124; 942506737; 551442674; 127228789; 347458641; 444928614; 251599645; 652445058; 737551138; 318874287; 961279942; 285470135; 152836401; 886113196; 418904552; 668561088; 379314623; 950332430; 789983493; 490685682; 340310627; 415843335; 186006161; 300628480; 524882353; 702756858; 678824408; 48401376; 454418887; 405336472; 678947615; 168258766; 955715135; 561801735; 164780700; 358313606; 301236783; 233326040; 297488280; 563945631; 68859479; 256824360; 984877417; 312582346; 868950722; 14624992; 298388671; 877470011; 894010913; 904336345; 272503859; 11525090; 906562198; 424999605; 630326123; 600617657; 208423538; 328141015; 263925084; 404192646; 269702861; 273620166; 623609974; 455825440; 83009717; 90326863; 257809756; 325398573; 322906266; 704375931; 653062202; 463138628; 523585717; 528171821; 127566739; 631110592; 858756467; 984822527; 415812759; 832117515; 355231067; 686918562; 30199803; 790339594; 536261496; 319221198; 819036472; 400193195; 879428092; 739880850; 542706540; 692945917; 741700013; 911950049; 327770572; 330924155; 45086869; 261286564; 770326979; 423123221; 653403901; 144406925; 827176854; 528095320; 986104727; 667214927; 218909653; 386051073; 276134300; 659665910; 474310752; 746923623; 877751285; 150487373; 568063767; 957944171; 517531112; 827241901; 288534597; 474266633; 830478552; 391288881; 263517083; 794600872; 696574290; 390192905; 965091249; 873253893; 763560636; 313450348; 69814691; 732625710; 396932100; 128157031; 534900914; 723030206; 926766072; 409525245; 635434259; 683362315; 308255824; 644286965; 398932930; 688647753; 347142775; 823611942; 564727045; 87660128; 806093818; 339915871; 17967514; 406349623; 677105533; 525133380; 663457084; 151673230; 789952213; 314714063; 232968781; 462652433; 651618742; 368094446; 687781706; 443197508; 404394107; 767210684; 980809152; 515373605; 893470917; 382559794; 281762146; 957666449; 319940871; 940787720; 524324154; 696774250; 40296214; 956806407; 829096326; 962830958; 162955450; 928364793; 531223515; 911415567; 235539474; 673211251; 892761485; 421116467; 832140783; 102957669; 579824057; 74604898; 920440161; 705130257; 752648096; 23712587; 308440218; 824579015; 367884477; 151397390; 298292171; 140987740; 566688696; 830780580; 158276255; 401077323; 607950100; 839288633; 694640126; 392011698; 152901038; 703332390; 117132907; 825038395; 539066717; 79694135; 483101461; 252281086; 567565459; 685709104; 398776393; 646752380; 137954988; 267851897; 430047488; 442206444; 585987371; 106898415; 293123576; 379250030; 14880713; 427484884; 993348935; 155387962; 720970279; 86403567; 53385600; 993264607; 874497978; 777186005; 264556129; 868534972; 656054146; 446616186; 128178606; 531925803; 537658690; 444661112; 885962291; 327994647; 669047021; 797532099; 889010038; 111123626; 7817020; 30772459; 41906382; 780838506; 76517460; 270782936; 660708132; 149109201; 832742318; 650335446; 881008384; 25034670; 436851563; 749818627; 435787441; 248646612; 627319704; 85262326; 694065322; 332537284; 22961639; 297333860; 133854856; 811652375; 455245724; 157716576; 677134525; 979292090; 339162588; 12209183; 565107436; 505717868; 801004815; 626813607; 215198819; 305967988; 901704235; 532258330; 86837751; 889122965; 456404790; 482414208; 258059997; 14402699; 254949290; 492266460; 414732582; 590111719; 663516878; 61981418; 361800885; 33031380; 706398217; 406082658; 470412424; 703563842; 750820104; 999035304; 377079067; 246328184; 888754610; 356484610; 402493928; 701061501; 191792703; 588118805; 249172487; 120589510; 561540636; 387952176; 752440551; 470694655; 388736782; 71717417; 644841026; 297573176; 851683786; 168554124; 394132345; 543359417; 502942422; 822988329; 770420818; 84222441; 235797053; 402223637; 534725329; 761980501; 187299207; 207328243; 146345985; 498276394; 907125371; 310500133; 148072701; 732886324; 875776524; 69057930; 586586276; 545740710; 876505374; 69812515; 525853588; 331497948; 272292610; 905052975; 59123867; 82474557; 573761953; 626516409; 756572815; 889041414; 616599665; 569046529; 144620977; 12131880; 386427267; 744307539; 811424916; 497676352; 838833946; 750680537; 727486287; 875312219; 161705314; 96068709; 601720412; 186376048; 927396875; 137498898; 321688995; 449781873; 485893276; 371016724; 180381087; 77441386; 172402131; 763861041; 885157949; 925072166; 278724772; 625632843; 282596552; 836332055; 411944457; 722429157; 21707720; 234007917; 74435024; 556614465; 651459763; 925843293; 286912744; 16112817; 15145827; 643589854; 875142562; 889994196; 991024969; 800700388; 960714507; 683310431; 354641879; 383222955; 161296450; 217521434; 984413807; 21770976; 399838318; 743730184; 411590726; 736100500; 715776375; 669484737; 88886538; 526964247; 747752232; 815317965; 813051319; 83422359; 50976537; 442449158; 604191491; 159244205; 856266421; 359274198; 477029150; 888268437; 516870855; 108961603; 442455987; 415679375; 20376685; 573559924; 751660822; 14595742; 414240621; 747188287; 153313934; 896726148; 962472116; 255186706; 903194400; 454568771; 159054198; 567630756; 606500961; 836766944; 832771434; 231960788; 547933287; 679291107; 75049388; 389804341; 66351917; 531029043; 49655388; 400565315; 940283160; 330271880; 434429373; 106107941; 313493344; 398346407; 447583581; 135811983; 502538314; 387647711; 210670935; 826415045; 986518893; 37111910; 574750922; 773111003; 1111797; 523432925; 993927813; 394523861; 740800974; 662774506; 383155971; 506996163; 254696404; 608659928; 655885548; 965059920; 846436180; 927596358; 60338495; 729926782; 823750503; 523126706; 191591965; 492379334; 823069035; 95386240; 711569148; 557616540; 264337872; 66190198; 986626953; 215336043; 704690787; 293518818; 477352181; 495395488; 557279141; 426219766; 857007431; 323680409; 475350579; 549028588; 603947182; 982664968; 445868661; 232411922; 246409607; 576992137; 516543771; 947795721; 105748213; 548346974; 973210290; 229376822; 808835795; 528089839; 718600147; 277341834; 669482004; 261937402; 711189762; 116677611; 856010057; 838250469; 388440245; 847961863; 931878532; 954515745; 376475218; 353571332; 105664274; 594760340; 526504469; 619597916; 751847552; 714745551; 136666034; 364809804; 313591434; 185712007; 899304358; 83101259; 676781050; 761556063; 121534381; 508020856; 746482621; 520139793; 356164618; 506882821; 119795552; 213179788; 794599981; 84820695; 854713366; 452419675; 305295909; 287244189; 467847255; 473057716; 179629741; 521891933; 540993266; 240374646; 372570593; 734197413; 579023117; 556644739; 264839762; 537548662; 455603315; 496727140; 5861713; 24697704; 43164008; 913138429; 319422881; 703574960; 33982260; 309922162; 107928389; 987899983; 726173255; 421903051; 971675887; 817858391; 651150241; 407910979; 152677162; 944825572; 385332262; 122716067; 781709591; 838860726; 31513314; 642902281; 315944727; 175367775; 107184033; 518520597; 653926664; 899314611; 44797798; 690064889; 18151495; 906130718; 97076335; 498657693; 141135070; 891265736; 144943099; 563210395; 633810518; 867610816; 284258365; 695983038; 428210304; 18829415; 168746948; 162389553; 80051344; 855288218; 190600893; 805750365; 540434069; 719061364; 641366544; 97266810; 302311488; 510633283; 399136634; 341620868; 399929560; 699782030; 182213882; 368207540; 169550210; 752661066; 266261061; 883925024; 131016399; 650876497; 281059901; 73445545; 761457029; 22735002; 649701659; 141286061; 657028281; 806285744; 784599091; 280887203; 10449716; 506613058; 699183085; 522756576; 503025200; 207795612; 628579529; 439006378; 299072036; 801038893; 856103273; 569899351; 446838466; 656881705; 979677087; 358100772; 351453724; 627471575; 288731226; 252404710; 715345080; 120735797; 935144522; 677666110; 78591497; 691350292; 278818736; 282057965; 399461964; 532130104; 35618041; 112363137; 784885731; 152765164; 221414102; 6070970; 561310010; 271276233; 54989676; 72175799; 768703740; 272194376; 365325135; 204778141; 456302232; 971096674; 491411576; 843550846; 315307566; 398836757; 48628847; 685175877; 781100001; 703085825; 140794743; 133924705; 798863563; 319607704; 999163286; 370875315; 443242973; 509390916; 584021769; 742029695; 262559021; 906899657; 850850898; 399418116; 107906093; 186731045; 731399993; 480400310; 281003779; 930636185; 886315421; 606227150; 889777232; 179539585; 145105729; 805738850; 52098544; 748460496; 311577816; 594384448; 393633438; 899356374; 799030567; 627197184; 426131279; 325895813; 780376570; 921247279; 385391252; 724681706; 366675153; 178637344; 838377758; 374197683; 115724703; 849804979; 78694545; 997311390; 78718781; 734425707; 810762486; 694893571; 815423631; 288612404; 450208233; 917358984; 11887704; 332364342; 44876917; 899487119; 413346825; 693058391; 488889320; 832878372; 211080222; 657428480; 994036037; 340778665; 756319265; 288159401; 787491524; 978986288; 928974735; 849364599; 147377334; 442280892; 366022705; 10269902; 369484578; 959935144; 914686811; 461856524; 103244095; 935421730; 310585190; 207407215; 324685839; 665744626; 578181605; 776050212; 900938601; 106209174; 280326138; 171209380; 682474053; 271995098; 306503766; 582418103; 434140884; 226900665; 402272867; 667662745; 195825780; 721859096; 993475237; 196550427; 240903150; 662206831; 889021831; 999723617; 947885906; 702033246; 228159158; 484356963; 254662208; 353484021; 375945499; 735092130; 692292898; 80505075; 11027904; 961062619; 820813110; 283110677; 550478501; 932291413; 805515194; 542581557; 505850663; 803642322; 619285717; 156871076; 194542932; 7147069; 896217178; 124484100; 71451414; 901275434; 984753844; 928299205; 520304902; 118240315; 350413709; 710411178; 373858559; 861530615; 278769522; 505660702; 492558912; 371945289; 307632072; 789018759; 137680047; 523366522; 490950851; 481290908; 997176137; 616216247; 325346123; 911230190; 687545103; 351436330; 673042351; 867175996; 997737551; 903804977; 64733042; 757575064; 959048683; 593522530; 879350786; 376081016; 579423379; 853537519; 174104771; 154772825; 247970416; 977554519; 442156403; 685316823; 635762929; 774202202; 768972205; 930455498; 137635900; 681394653; 813150980; 266927445; 49873020; 600886895; 923035344; 164442010; 327248915; 179715698; 231543836; 97165915; 15354307; 783019377; 337234946; 264615867; 166904931; 129498473; 549245965; 312045758; 101312828; 22797582; 580752370; 409021727; 943919548; 401569321; 810162885; 401670620; 184475351; 469549624; 780155018; 364188328; 457490383; 163362327; 300263647; 879023276; 698609641; 628008279; 564922116; 172516218; 6994774; 143199971; 523854661; 247714264; 953290383; 497841623; 776473070; 623590170; 705573173; 60341577; 346019249; 656200784; 199522119; 618503721; 795277967; 784059581; 505056042; 861264265; 513289101; 519765067; 968841978; 285644423; 29874174; 86712492; 341240972; 860016686; 414530062; 377901124; 485564686; 177704571; 791704242; 763045640; 761159855; 404862267; 801013800; 944219555; 901139845; 993613636; 314252246; 671801902; 70672440; 53987881; 289940084; 403065084; 108163952; 106482753; 870012392; 53844910; 85911784; 712580764; 356708858; 171367686; 900323572; 250454525; 97608162; 528306495; 254704274; 990498601; 543741273; 824456817; 27827532; 954310105; 222421642; 627251742; 910031857; 936177808; 382895057; 416660341; 32272862; 544484664; 491751920; 40503669; 836107242; 648963865; 464059926; 769121444; 855591539; 302534919; 601850006; 611972881; 979140165; 243885749; 553381052; 177827438; 276292410; 310817152; 196102137; 448025393; 278242050; 552387217; 514454091; 296907616; 751916847; 158318124; 104927627; 594666848; 106094293; 577943062; 297881084; 122858655; 439927697; 943847776; 601018198; 920816673; 7833495; 317766236; 885771904; 562233713; 991174270; 700648107; 976762517; 257599700; 860376300; 833391590; 584328417; 517063940; 21841580; 544797064; 144575552; 907664515; 780266224; 748956983; 680232503; 114060339; 323307037; 555870016; 200176913; 674776853; 491174803; 345971411; 534396930; 710626944; 39585295; 700401104; 216025996; 769458332; 143549653; 518896678; 75095695; 541827037; 734278939; 976496190; 319207084; 425556778; 217413700; 276464843; 76372051; 907008012; 355157062; 861965249; 828580717; 619005291; 329153204; 192727045; 138408735; 591169047; 941756171; 122560494; 329181840; 639761772; 765343243; 547981003; 960903026; 131425969; 501382071; 988804151; 145240815; 328491694; 650948794; 261873629; 166111997; 27031805; 51047979; 230903203; 917429588; 23685465; 696922636; 878695966; 954789255; 996702095; 427361609; 21474313; 883385287; 649158820; 675196292; 419525433; 71373872; 723194946; 542378666; 567757265; 485309602; 29760490; 691536351; 95163562; 545072265; 946407347; 147413137; 813982725; 537424949; 631631259; 44904659; 387402489; 677960330; 170087925; 937734942; 781629179; 541692631; 62421520; 100854188; 234888039; 80944970; 877169879; 187322918; 980368428; 846878170; 938426324; 497044097; 419778987; 431329883; 60993369; 937445486; 927538087; 883408671; 866887315; 709862119; 532249558; 679122353; 346318832; 886515141; 154385004; 197911829; 580387930; 803192671; 904538838; 439495268; 895007130; 563876511; 337772411; 281276821; 214318091; 395190965; 937129647; 472358985; 562944790; 533992102; 215810828; 201029225; 212787292; 571498367; 373002366; 278681913; 780591610; 453657736; 565545091; 782922710; 739894293; 931805207; 686170151; 780523613; 321633963; 243453729; 980754933; 831846176; 322235095; 193437521; 849909314; 921182061; 484972433; 725269632; 732885076; 66812282; 122894856; 929151703; 187595784; 134116581; 405803818; 442364939; 147003020; 92408618; 847070081; 651487847; 18889494; 550827308; 409951280; 858593666; 192217490; 670443020; 752357743; 305168092; 166856463; 320828923; 600354393; 9151187; 324215799; 118799590; 509362873; 409237999; 523620319; 964118977; 437886697; 868760; 730269549; 970928679; 896711052; 699744316; 744355277; 780695676; 988460097; 248042345; 609536109; 185380247; 829478819; 70054733; 210291982; 731069034; 906397317; 688256037; 81942410; 274437196; 746660227; 427196992; 311405989; 461269573; 128066913; 81077290; 796035387; 625362010; 821756001; 484854027; 761183841; 122750543; 689596821; 724998853; 442455763; 51027302; 359866654; 725709704; 422025525; 340512836; 950051684; 198869419; 732379310; 765937352; 536417451; 494367704; 499966404; 934726126; 226794318; 956325335; 835983637; 417455383; 812016890; 763917785; 291753974; 677097552; 694715637; 244057803; 625201829; 489843658; 979610644; 897940676; 235424080; 980764901; 533312088; 815592789; 388724773; 719792457; 572717977; 310728315; 952598118; 487702974; 652463645; 979515199; 543099113; 893678873; 150827214; 58866747; 521861308; 857018344; 722558201; 529529902; 514228500; 58222062; 630151167; 436200350; 131296429; 298441148; 315735211; 513164879; 554086935; 703319410; 263973575; 587423010; 395647631; 494916675; 167417422; 687402163; 423467647; 415543798; 507490895; 329395860; 575479110; 692004574; 275342736; 189790036; 539157909; 446961227; 633055809; 190239455; 43631111; 689442577; 318873066; 738999267; 879394535; 82440124; 166623378; 786334110; 421777394; 13513984; 451723395; 126055454; 904670639; 638916246; 582710358; 280392613; 273704305; 16188584; 966736517; 605185; 735842104; 166555488; 977732994; 565184098; 667366990; 178661842; 730135640; 457953765; 883059544; 438078173; 215014496; 921882335; 264126019; 358423547; 507014858; 258266998; 692222822; 753546375; 41722277; 449339851; 357497165; 140186266; 690832852; 336058965; 24803933; 998157017; 698338470; 38199032; 189826742; 171063555; 87058476; 875306352; 449953410; 658202295; 620191206; 972748440; 621665431; 248315349; 261326789; 800892136; 793364002; 910782251; 81304722; 123799170; 857029897; 626568518; 679631642; 170961959; 259348304; 485368065; 315539667; 36095790; 28466984; 395405504; 171987162; 737247054; 682223014; 195034510; 978452094; 291989702; 382236832; 233254197; 489488245; 32178482; 439289114; 712986594; 281385482; 810346514; 391197789; 511001418; 172460317; 970855701; 857505648; 498428410; 696149869; 331226060; 512844951; 13269286; 562704826; 973039986; 308555470; 777565042; 114388112; 901616199; 990068299; 786985466; 363630169; 529012109; 639692828; 138743113; 148970961; 648889664; 495751395; 224003026; 460207433; 56498021; 926191018; 990235439; 607352562; 276080160; 282559839; 598361928; 143240789; 307383483; 691974670; 990700420; 815195158; 720803819; 436220021; 32487082; 395888814; 724559831; 482423541; 548098427; 262227806; 739915593; 314777385; 563707263; 802338755; 659469613; 141295569; 538716373; 501302430; 404228012; 564524981; 674595966; 993046706; 592752447; 412310540; 569271209; 644793491; 40198801; 451847501; 610051844; 274519416; 204389269; 200855202; 171465805; 122570720; 854170518; 189116675; 347395192; 993406692; 714538101; 380071202; 375967981; 616743949; 374076178; 596072537; 315655688; 986446374; 242748733; 952336456; 259346963; 380523286; 23889051; 615373744; 69752800; 194202427; 669079342; 235594221; 183428934; 605313912; 995341743; 125009622; 604017710; 865232116; 275275124; 304959689; 508172991; 49851109; 729514785; 759602737; 138503813; 274397638; 138852959; 451258444; 604027077; 266533781; 770581028; 626816203; 603864139; 59555279; 775097753; 386760846; 160075255; 22869792; 9745514; 760442514; 660577727; 836191914; 787026539; 119816321; 783056780; 217494854; 854876924; 904807225; 164037708; 605207839; 764872635; 964831755; 391933795; 129597731; 819712474; 354902394; 651272833; 294158639; 237667193; 226916118; 698867120; 71616113; 609314023; 395749002; 687655596; 1038879; 334586720; 6479409; 536101844; 176492603; 469297374; 241197491; 889160166; 406214891; 88702251; 849498063; 288582376; 228244642; 86444501; 908262873; 446586115; 947971571; 236852110; 565245818; 113832286; 800134225; 257255971; 887372192; 613380748; 65758732; 121790430; 237723810; 160511707; 741074949; 252411386; 5588254; 28713888; 252716133; 945560242; 177393363; 285665531; 881603906; 364067044; 480725775; 108119785; 501950019; 45172228; 312036158; 38887388; 710346215; 483857157; 974145493; 100298348; 192234961; 153382091; 784459819; 819197244; 3133952; 712005737; 411431119; 568056499; 728048119; 716325364; 162806686; 86512612; 715309877; 398096757; 857955816; 88573818; 4888639; 685144025; 325270325; 13127231; 67710628; 33006383; 466564138; 682513907; 526923255; 810060451; 452370930; 654230844; 287394957; 471427831; 98730964; 889099179; 993853989; 306695677; 181463606; 765467532; 381674290; 361767369; 733855377; 959533490; 376660512; 776167775; 873162851; 564356999; 486358325; 529332882; 804296216; 440856478; 344596366; 12314977; 501941014; 103645938; 15053082; 530467748; 68073367; 371361185; 58318443; 300531894; 105569488; 92854023; 497568995; 302377329; 894656160; 952973070; 206163011; 467957611; 416267288; 734321393; 766162209; 328102320; 801069738; 816046357; 284407505; 225937325; 143877575; 638054557; 391728259; 579021874; 18934388; 383725342; 150423150; 806496568; 41061338; 557601072; 225411280; 914909141; 280663201; 260120862; 354316099; 234070254; 467039061; 462870081; 990021631; 196076633; 762685683; 195545853; 601767486; 435578818; 347108811; 59881544; 789381570; 272425869; 538169121; 329909867; 186984736; 856260997; 966782253; 872597951; 756566473; 567539701; 286533273; 729146797; 965695685; 413623775; 161222991; 97433187; 420213599; 891548367; 642315399; 540200060; 547933618; 615968353; 378368009; 267890899; 345046476; 393215657; 799498876; 84712457; 653497333; 953154960; 382949496; 808871721; 694963347; 658361016; 156742459; 155045205; 879324396; 397028636; 847020647; 60648701; 663823726; 567638642; 739205467; 392579963; 709010640; 255645359; 536822818; 513165142; 742368718; 614528169; 593370177; 835724989; 382664364; 846484694; 578713665; 556274652; 383858790; 938379915; 287642629; 798999108; 648273434; 256671192; 235726737; 643102124; 302719076; 677789802; 680582044; 289598120; 683910897; 618736954; 546128995; 505542972; 56135382; 513046424; 46549129; 952349465; 845497502; 767079949; 236473210; 188608607; 443534576; 364602264; 889137864; 207927632; 456575117; 635770123; 249694245; 886010241; 366879421; 776562069; 293293689; 72998959; 76584932; 286346904; 117762677; 646793573; 713174784; 29329309; 638995511; 556001867; 398694620; 64660322; 437263738; 859790003; 52938907; 929421277; 109938633; 165531932; 720911641; 555370350; 576048360; 898801139; 238225605; 270182515; 947418983; 899159636; 21713951; 77170778; 38468174; 831236825; 373038364; 453178040; 248330307; 559022242; 630617757; 188396131; 322647286; 748986686; 609920330; 76489453; 714240865; 670418022; 634533027; 562352416; 777360977; 737545590; 799894466; 315034411; 280789717; 699173147; 793051330; 172586507; 988793204; 227244692; 928329922; 819528454; 593040436; 416410793; 657491203; 422768058; 891393446; 422476664; 456073044; 761783391; 8950330; 683743172; 372624872; 621892519; 361933024; 553314448; 357582721; 282820157; 269733505; 37405465; 820379708; 618078850; 959954637; 589862371; 891346219; 265244327; 783439524; 388997403; 796050043; 827535554; 60810228; 992256735; 421781383; 38152656; 465847031; 922293882; 32272927; 16924869; 240291409; 907108434; 781471784; 865707676; 825626936; 444981750; 837450821; 973080770; 474262415; 647336498; 964370482; 947838725; 793437804; 944023608; 233381644; 315076250; 268248928; 841493610; 145138665; 424669224; 712213930; 887988483; 96460297; 313851041; 364884669; 197298275; 284604261; 592858347; 2075343; 833448195; 442031603; 143337141; 909014726; 838707588; 673776879; 237121756; 61869106; 876970989; 183036766; 613489220; 838333895; 135564412; 12405562; 427409659; 389416737; 546886974; 821388532; 399667271; 10115913; 141684574; 745883999; 48313711; 6590517; 142977355; 703459138; 972608568; 290156512; 494759953; 104739161; 110780388; 476133300; 861108460; 691515089; 367789010; 298721563; 300467797; 69640173; 731390672; 49282990; 558280754; 240412973; 94830923; 892592396; 409911396; 543275288; 597766798; 112267386; 326885162; 124051648; 19660270; 618788976; 577738003; 623948654; 613153309; 448841157; 162395592; 127878628; 569779745; 436012301; 983540486; 343354573; 35510153; 498302457; 408028103; 376258412; 975884994; 927380001; 446067314; 891034030; 406824264; 893412766; 879661267; 262264433; 797280423; 169880433; 246411894; 969559200; 999748328; 384090371; 827866749; 894454748; 489027107; 345572331; 431389732; 961661392; 332507513; 355432793; 107347557; 238084605; 918920583; 97684390; 896185956; 60548293; 88156466; 129205667; 137242629; 140970777; 934567897; 179399278; 503119566; 662535078; 455259266; 703029099; 247033655; 252008781; 860340754; 43544047; 316188792; 785622133; 838858491; 725196949; 43172630; 792007328; 143769527; 554001053; 11014222; 925695116; 149609398; 622245056; 864121314; 599588570; 964657230; 858869282; 25821699; 347513860; 977312620; 516342339; 561559404; 553667025; 885779956; 740150857; 225919607; 97708667; 663820050; 167459691; 393864413; 736060706; 912060804; 720669876; 968430375; 597131250; 277474508; 751661181; 624494340; 337452648; 260594848; 152238690; 314531680; 22563405; 567449545; 570290551; 794016679; 669818615; 612415177; 269251929; 222892157; 77328247; 341992212; 781951196; 841261942; 322164168; 825789778; 142276966; 422399944; 23319945; 455235923; 793195271; 810904677; 246954686; 96836603; 954208315; 840976239; 365289189; 734111881; 612216414; 721801060; 882436541; 783255937; 828656905; 842064479; 152250987; 624448295; 426190853; 921453627; 725471750; 844060780; 272409354; 422132965; 373705438; 184134426; 572385700; 797663067; 381914595; 280267774; 395743065; 170457392; 618958668; 972105274; 367589541; 635163512; 546588552; 733719244; 655537469; 280539387; 121639774; 219968596; 516032292; 864150506; 459711926; 738049856; 374243167; 531897836; 696817475; 247419906; 610492730; 726726565; 545023069; 341718292; 36107744; 425482550; 919431850; 494271316; 194489745; 506445366; 315572111; 182444468; 84502571; 827570514; 813967709; 129161077; 572166785; 263969858; 986135893; 121864900; 544547310; 542263575; 891628801; 392400060; 999021343; 226304116; 171873397; 874244388; 153753094; 978028958; 128999961; 165458888; 64182763; 475346051; 305433400; 957939041; 263458662; 543612623; 789810787; 359458757; 202150670; 722971538; 850845860; 785254867; 957699357; 93630241; 664388223; 995473552; 869250451; 662940349; 809270922; 653068814; 400847576; 998458755; 602592050; 874352063; 539871208; 133317712; 427582732; 378653068; 557424699; 551383444; 75677133; 385729944; 558481481; 974238218; 787199545; 28046850; 25124385; 771008702; 892738285; 26403297; 701127371; 344790106; 164066687; 645204653; 514046176; 165166401; 571912177; 189726885; 744400512; 725136018; 922960939; 476964226; 183615986; 532937481; 296560617; 158660682; 775072798; 318014131; 87872803; 65066721; 625205688; 752360777; 192912819; 17587961; 275373371; 557574822; 729558905; 382170795; 148566599; 878202606; 154683890; 42800454; 839396993; 227311543; 128604656; 901614563; 505453437; 666142549; 271377427; 668279528; 148774081; 883423396; 392108787; 334941690; 305193415; 851046694; 448435143; 618731826; 356559174; 569670892; 725215762; 120097410; 640979658; 521960815; 204226719; 667628625; 876040020; 686080495; 295106661; 824048975; 676227338; 60206023; 467499238; 3123613; 432318485; 605501075; 411247368; 780818142; 151435068; 211597401; 928568485; 55980710; 785282330; 608361079; 121393406; 653261471; 792318686; 407129532; 805081711; 884108467; 46674579; 599379977; 490246923; 727468783; 657311088; 350330933; 804377045; 7610595; 346283498; 914809243; 21276487; 156560213; 205836220; 392186097; 692533175; 256388476; 694031306; 922921366; 581013949; 409436852; 431512766; 943553357; 538754187; 637263832; 124514277; 718842154; 226680801; 59969987; 617243679; 447513542; 152022591; 45211736; 446862720; 588508361; 559810773; 426242216; 956690638; 259819517; 863866819; 409729514; 325257317; 845533197; 70777570; 457265305; 38739421; 435541708; 717994842; 763053129; 316013592; 232526264; 813756165; 815997314; 935086234; 299467623; 700562225; 358608426; 854347938; 410643380; 26154659; 137279553; 971839551; 977521961; 202098206; 498752687; 939137734; 166486414; 283348330; 87861314; 898737457; 776251891; 782334858; 687776576; 586619910; 859507133; 669757900; 600830788; 717667828; 786364664; 467070083; 838206857; 685963897; 152844271; 834285156; 19781709; 153892263; 108355814; 869871091; 487084538; 42152894; 587091510; 973734429; 118944736; 833546688; 997941078; 778867965; 115553528; 57196929; 518989238; 32404314; 523484664; 975155550; 371859196; 69769576; 649618594; 646645694; 418437664; 760599709; 470612773; 171550646; 758964466; 952783573; 566038942; 133715763; 497006485; 770250171; 297253851; 525828775; 406903183; 604505048; 821325378; 18596742; 591270613; 646394303; 949445; 386616639; 515095414; 233222138; 335100624; 151177654; 543207282; 566124181; 703882814; 842563781; 592523260; 481123935; 10679009; 384996551; 88143477; 794965517; 165640259; 323308963; 424639876; 517558431; 941890920; 563223399; 539475167; 183967840; 159951756; 134966665; 450726961; 107767345; 534655535; 843012967; 768250778; 858775387; 915709842; 452981920; 552323402; 425775120; 82748517; 516119695; 923708372; 679064051; 84903211; 74429371; 343545972; 96215826; 418203980; 266533317; 260370507; 731183177; 541442243; 290226644; 510617523; 573373321; 17894810; 890149699; 791099246; 44702004; 370279833; 410192107; 561868279; 757002224; 53797562; 168074496; 533294742; 399708752; 384786687; 31650624; 488600801; 441073258; 985333900; 790343333; 266779490; 76159696; 744000901; 937168398; 841915451; 530748868; 738563925; 111966896; 467489718; 176700426; 117976935; 513527277; 310375793; 90600497; 93171621; 604071736; 675154965; 817781510; 628837956; 388127847; 144321421; 176127521; 483268465; 554251156; 28103884; 598215586; 265024238; 945953396; 686235635; 882803294; 474612951; 767767142; 623129149; 169856839; 345419500; 143030288; 257481155; 708403841; 320780620; 788735101; 321564779; 216964599; 618098528; 1739454; 986273379; 876220332; 792402926; 180581146; 648786257; 15534248; 671273964; 527928292; 814420514; 931232615; 906248666; 595702792; 713900069; 752767950; 803155749; 133934580; 28237492; 305367141; 133193751; 530757059; 426481790; 110057234; 648594007; 74650655; 955198191; 855192590; 874385837; 596537114; 430127697; 108816368; 497225810; 318255970; 518503151; 407042213; 925539138; 500294105; 190812560; 682674323; 640176663; 849255216; 101231093; 274146550; 390213149; 142903097; 694643214; 684449943; 428791064; 672788147; 566525954; 953986774; 459145100; 89920884; 560958763; 274599298; 133984398; 812390540; 813018107; 23124214; 384731538; 737671000; 429396288; 374301665; 140116877; 247680322; 705957305; 321477566; 154785593; 339873502; 736378020; 859995727; 965694949; 625421623; 889331118; 390547761; 800327418; 767844228; 934082352; 404260356; 666758867; 391887152; 804976308; 832804748; 674501797; 879407665; 429393622; 739726895; 416038773; 21444234; 394770483; 5389913; 564947550; 847270558; 413957460; 523003455; 94075286; 593235674; 733450906; 717484389; 663488342; 568164610; 868277991; 310403540; 779683615; 212393820; 849968809; 918896686; 994923470; 908278723; 646845556; 325068325; 175505608; 428267075; 307633080; 77149702; 956082016; 875214040; 619963980; 533981106; 868618176; 472123848; 530441244; 205422569; 196533449; 475633432; 579090789; 703164848; 12869346; 930760116; 438277275; 346230381; 711010013; 971112261; 77781285; 197129761; 492988204; 334954038; 513519110; 548862099; 673049424; 466254932; 141767001; 628522472; 487147805; 196230386; 548163700; 19525495; 396301018; 202257619; 598797242; 551314581; 425512448; 80817348; 717846489; 330034602; 330602516; 949010332; 151278639; 287636672; 286985908; 957796783; 926554239; 565323972; 69805639; 379778241; 155633318; 778345679; 57130281; 583254041; 431817577; 119982068; 145362963; 763099076; 600545501; 368567435; 516731510; 660908924; 825997714; 98264328; 916872205; 482535230; 575811296; 413577619; 929653249; 167323421; 831113783; 165394640; 305298277; 748188213; 412413753; 390449666; 208271985; 464121130; 435565884; 601565201; 330271472; 9805749; 476491711; 769426265; 94980073; 84888109; 541787076; 645150266; 176056137; 348376327; 201197043; 561151641; 390525600; 58563420; 648515989; 544919012; 6374542; 361737439; 769191617; 746267424; 986062802; 647932145; 694841391; 757278368; 698996101; 783975820; 963228469; 739312089; 750488155; 625340341; 481061088; 582915163; 557405892; 160978943; 49027742; 570506441; 279184513; 559617002; 884689427; 331260434; 561943754; 659701149; 13521230; 269861200; 465438535; 414963660; 260351235; 615206284; 22987255; 373713119; 989643229; 462794845; 841373420; 793648426; 689862652; 431862135; 515158620; 907671692; 252861163; 75962683; 324743059; 109651070; 122231047; 861695220; 949900666; 111657605; 340029945; 750775081; 743301263; 522708338; 733250962; 45469927; 746762169; 442144189; 92737397; 203370794; 808324701; 995296402; 886333667; 21045763; 968824590; 315812454; 433416303; 397518113; 661756647; 665996821; 280768907; 55496314; 62789534; 96667421; 311262795; 414763911; 607336705; 430731748; 573181241; 832689681; 921856481; 997916216; 754219255; 614746984; 245882767; 244795793; 184091179; 20294712; 906040454; 820013994; 126398; 174143455; 645013367; 637271421; 519031774; 329863761; 810083469; 913068927; 326023927; 399672736; 336659137; 405089130; 905063978; 914002695; 411510847; 720798797; 583851634; 548348213; 211898053; 800023638; 891373152; 728720849; 715513758; 376857753; 218610096; 884416707; 228559141; 16428912; 373683130; 476096933; 304355713; 952268771; 452086021; 580692650; 298249414; 547435969; 407169257; 147153438; 895933765; 471816602; 747606417; 681544983; 946808150; 517218615; 568498116; 475745676; 341112772; 806390443; 123394172; 725791210; 830755668; 254744631; 735217522; 978511300; 749208488; 587912008; 911952324; 342924919; 221774881; 430678947; 800217803; 18658762; 587509766; 887352779; 650205231; 988995474; 886518436; 175242783; 611470329; 828721808; 201548487; 669131527; 68541894; 475408519; 722448924; 798685023; 858861714; 533320902; 594669921; 673984394; 583325363; 100243908; 280475273; 464327534; 264753686; 450059429; 823758976; 88758937; 659284670; 184407921; 515882506; 881234616; 655566539; 730694100; 84262147; 933173327; 190185637; 873371834; 907881497; 495801247; 93847099; 102388760; 881560428; 866557307; 98863117; 992720055; 194188293; 902930642; 520999805; 856346173; 515791440; 714085294; 382469487; 456475202; 219429564; 932079280; 684004576; 866400899; 751750696; 10394689; 413936319; 335674410; 550256580; 82409787; 421669629; 567409406; 468326495; 772554252; 409132740; 479468303; 541524899; 470579547; 388728038; 18058534; 553713413; 820274706; 507212585; 924425232; 587914240; 297907561; 732170780; 826802852; 962039174; 314789168; 745533305; 713550267; 429115180; 981015931; 119523004; 462467952; 693290073; 525183166; 160014523; 548275957; 108749219; 863109294; 478798920; 781033736; 896884882; 354571884; 499946143; 604953206; 707135457; 960709805; 371644; 726407050; 743900716; 450862803; 319501780; 212855034; 609338781; 484234335; 617436576; 252229965; 794414690; 374667571; 143705731; 259490979; 80491355; 578891147; 807481322; 795609594; 286044049; 637771722; 329346168; 828936548; 860710537; 43521261; 675101534; 428503351; 965647864; 385605782; 35365558; 69009574; 620101598; 24448726; 754432615; 227775014; 23043207; 192097769; 84913585; 799999844; 836290540; 864107702; 195108140; 478641369; 779903296; 553771900; 932239809; 833379281; 282570078; 260834726; 985887528; 559381044; 871816638; 465538162; 305074371; 534951628; 747725895; 214050370; 434099076; 333144056; 850430845; 292136416; 54311874; 875600733; 559443580; 24898882; 879172133; 878628314; 737478569; 459759138; 383481741; 291196584; 764114630; 175261149; 388400003; 771958661; 488794635; 642576096; 374909455; 563225805; 598859208; 907984915; 700317622; 731275242; 978889720; 387219744; 59337858; 674362482; 138483923; 781382256; 662490316; 14446228; 206731632; 44517849; 622434319; 727591295; 2030702; 145189054; 445189403; 584258047; 718771582; 200760019; 830716513; 209739329; 876744918; 232225161; 468254971; 517261578; 799937660; 807072655; 111592634; 68446445; 226674156; 728936229; 228037370; 542491144; 114359892; 280129992; 846091257; 667228019; 167942450; 494725086; 671974136; 614488391; 619505778; 713178374; 229424032; 804332676; 906774859; 428368582; 239493666; 978509828; 276500418; 619227605; 763619467; 318150750; 707080672; 429615871; 283906113; 926086933; 21787960; 946290072; 138776480; 609458039; 423037733; 92989616; 693394317; 750255391; 318119310; 827325213; 204491938; 870326531; 336135176; 458568320; 217125137; 707330566; 586046741; 510945360; 672179039; 882992955; 660226296; 249734315; 460963464; 260740863; 387485121; 533477444; 829484530; 254710245; 687285260; 675225955; 49450508; 933396766; 286984317; 78814429; 697375294; 180531523; 126266492; 163424336; 965744791; 548658442; 670364314; 158609458; 545967743; 607479737; 534032031; 757540074; 334652182; 234884528; 320781894; 110640926; 610657211; 930713321; 379146203; 344771713; 235552630; 102697584; 474954785; 657227725; 185815963; 625506272; 802643078; 259402637; 74022562; 447322505; 542340405; 381156376; 420300475; 271267431; 76247478; 1037096; 342639085; 602359352; 592212644; 268474184; 838319807; 594382379; 749701190; 874884869; 620444770; 899436315; 221852562; 86708153; 803520601; 479619209; 275533326; 527261152; 24737067; 970949255; 524556148; 810005832; 737907884; 173159116; 248509162; 602715244; 234744721; 213374871; 284562739; 71600292; 992768388; 950666793; 925143060; 380501043; 851563748; 69796453; 823367043; 188615074; 799073991; 54593723; 46691080; 126530152; 582325058; 643690380; 759648473; 588945749; 234917306; 386671336; 24390369; 872017064; 669869696; 400906489; 810166757; 198571376; 333466111; 987535032; 298914222; 9104436; 42254869; 218357870; 497676527; 243195341; 933518363; 822595385; 474190187; 846638892; 257835937; 104901385; 147440677; 340438547; 508406464; 616436114; 351323622; 596098501; 593615204; 957006851; 440950114; 250926684; 692197290; 551088026; 483295970; 85296948; 545839596; 137548448; 577626925; 738069150; 975267278; 985090835; 476774085; 879241177; 983196568; 745770222; 396745682; 592346449; 656298550; 635813626; 449868860; 415109598; 657282870; 770049378; 100300184; 828370833; 841948778; 204764325; 779508966; 58957202; 779736428; 55622092; 699985522; 782802804; 564341341; 400534912; 289284553; 386736361; 10465441; 5737442; 297967759; 502823425; 822487894; 72313977; 225626944; 20513366; 108929526; 607118958; 969435315; 12564543; 566596839; 142643157; 981190087; 948147040; 541631485; 485114948; 510761708; 997715562; 303754547; 422270876; 715699865; 796732507; 218833340; 538194760; 980623153; 608191519; 784937479; 302234688; 257584217; 356692867; 653171800; 38690464; 738966198; 295549448; 533250839; 63152001; 302876563; 756038515; 891440023; 564170037; 33605722; 48054040; 719955702; 403329310; 415419235; 747132963; 472975809; 339240821; 751223816; 381352391; 120738605; 783154418; 586147718; 144200159; 481543492; 45057972; 245177870; 449539331; 857332904; 67672868; 499782274; 400236293; 504511688; 752898372; 342129177; 973178352; 300249907; 561122341; 635207847; 327492347; 580514432; 613365397; 473038701; 526380205; 298506725; 375106204; 135562995; 5558166; 241545839; 83147683; 365947353; 126887961; 86107783; 906661031; 717814396; 6030185; 587863558; 869215132; 410589969; 656230109; 515283542; 990068493; 19500818; 940124925; 334283943; 341148322; 730987678; 149251031; 465189712; 35753195; 181667237; 718627781; 551350460; 294085287; 998062834; 687171390; 440417558; 260660568; 256456963; 173286123; 165577075; 252990616; 96816550; 998883680; 101845254; 809734698; 275934573; 799572586; 761625872; 123187779; 460094424; 663392335; 335126774; 850070939; 854999325; 780184920; 36756263; 466322169; 895024627; 203722533; 464079809; 756530670; 986042611; 918297851; 998636546; 194216613; 225076191; 871241355; 188121100; 458747435; 162984434; 924195; 628229240; 966361250; 90914124; 895434155; 231806630; 840312514; 718757317; 708022374; 195499584; 505831636; 340250478; 272532988; 666438592; 511952191; 484352325; 541170434; 851702413; 392435733; 960921507; 727163473; 715065297; 722887525; 157325552; 76537151; 916805366; 739836340; 526073806; 52564014; 603857096; 752038571; 798245592; 168972999; 945903841; 449885112; 228916421; 85790551; 731477363; 493354905; 997696337; 812363035; 941481425; 921622378; 865613764; 901895356; 535753482; 117563951; 579753227; 804723907; 971400807; 533432436; 749455702; 640692683; 504828106; 612273182; 885852840; 625606035; 723132352; 486408203; 901475905; 10294593; 528222438; 566319066; 275528367; 146900178; 192422710; 694481158; 2411676; 114157006; 199764118; 276133451; 203086809; 378004186; 955189728; 730819734; 224361847; 757397519; 772247497; 610546072; 740993864; 948916975; 432011820; 194718347; 341265835; 308545303; 216990261; 351218464; 421229639; 543573844; 159805567; 433477934; 728562013; 565412384; 660024411; 647300498; 50320269; 194972029; 551146531; 465029853; 932863763; 650105045; 848814264; 468226577; 748774021; 505576531; 482819932; 283946969; 787750360; 67672302; 88854574; 468831720; 828568788; 914726275; 580346697; 991267223; 161417262; 866066234; 873859640; 371901394; 876800861; 534687312; 34409423; 313235170; 571496940; 79515229; 503313538; 518915929; 265013117; 514612991; 658076123; 64967574; 857424887; 855319071; 181759201; 245501566; 423526924; 435817195; 363128806; 70830659; 841781162; 422732324; 423020470; 723887142; 304598103; 183162885; 964369580; 385797980; 181217533; 581143418; 599274425; 461660935; 51185028; 927424407; 122802114; 134761301; 976074526; 471314284; 309031037; 299880487; 595461537; 615849478; 749303606; 416163084; 682367829; 741837186; 408006481; 677440643; 828079620; 315231205; 738066905; 862196318; 772475459; 434365275; 29785231; 26556306; 490342109; 318751496; 120328776; 572473093; 493397615; 535093956; 137836418; 381763508; 793961720; 60761203; 435919; 743668271; 588021863; 109318051; 772318998; 97647125; 892300701; 686308019; 301639038; 572214987; 791890999; 166324368; 438485993; 788738812; 239475011; 380805978; 166923619; 41150339; 561646541; 315235499; 46801339; 642128077; 710032980; 445607838; 231060973; 856868460; 431866651; 461532122; 554829729; 804090512; 924541976; 3553285; 281770699; 233149010; 465841348; 329975495; 804302827; 71354872; 103168910; 243686383; 676908695; 591164460; 448406685; 830351066; 504654440; 583013951; 888053024; 29334340; 308076148; 357545526; 978790409; 802661059; 379376424; 410012834; 937434007; 821496902; 624630212; 459612166; 55035634; 738705509; 841764340; 281334857; 13813325; 908655323; 558798752; 32754814; 25153591; 940121062; 490327123; 936296837; 83312785; 175799938; 405457906; 667817809; 541641430; 65935467; 611649462; 259881811; 459327606; 761633945; 948899208; 581707672; 700069836; 409557473; 628244320; 821182310; 402651838; 765219360; 831345335; 641024574; 419131833; 231010283; 375125431; 386085464; 420194301; 646738223; 860128496; 56074603; 554654327; 889589109; 547358187; 13694140; 358128442; 522947701; 114393503; 480953780; 652544843; 514342109; 165744003; 449432101; 691182025; 32211816; 201609502; 953778723; 842240936; 591118275; 66369697; 711527349; 156714315; 736677390; 584720923; 10449065; 757740841; 752927677; 760500470; 283713420; 144746051; 925832671; 132657651; 851363353; 866275624; 746022256; 982846139; 244668596; 558235454; 697586679; 52822042; 616800456; 28171664; 62001361; 675650032; 851653440; 397227487; 930402797; 129900309; 595060140; 763677145; 505062000; 850335362; 81450747; 538160990; 710431745; 5263649; 113351514; 821208069; 598383704; 865897504; 626631562; 441766021; 957064908; 62872823; 57838426; 777244737; 151428974; 265460418; 457109486; 644053295; 883019010; 985909655; 704140830; 230079619; 726027258; 292683; 448221228; 635515482; 423201379; 992346281; 676552408; 460655475; 383830065; 209046692; 848341581; 642078984; 780475489; 524870766; 144814273; 248197865; 190806276; 591452523; 931440879; 370141432; 611960411; 780515039; 465074224; 552353212; 18053522; 47077437; 480213866; 115238271; 165198872; 469604725; 697377376; 297681903; 173225767; 604917948; 608976295; 170550754; 989637845; 724226541; 420587531; 176057172; 707867567; 190785073; 999007447; 236992522; 917244832; 874161868; 549758361; 75081478; 954160229; 280161792; 607883447; 254303672; 101701578; 421330032; 910777984; 295325039; 481073763; 715373558; 35221157; 731455799; 761419152; 371348939; 247456145; 329963691; 600066153; 977533689; 956536959; 327976985; 668147859; 914318433; 166047794; 150019267; 739793118; 568796048; 223985076; 630555746; 886367856; 449766888; 528145246; 849408814; 880142430; 166810634; 29354883; 268004055; 186500623; 657913635; 438481589; 329354704; 797255999; 312529890; 465868777; 555565427; 812979244; 451063934; 900846099; 804621976; 936298913; 205353453; 787924275; 715200668; 678870843; 321438419; 623754229; 813543888; 73698122; 84338888; 56988708; 538463497; 717378686; 400889952; 956514712; 524095332; 269186414; 93278545; 685346789; 813599436; 825371030; 837785813; 67011576; 966586768; 490097547; 708133253; 820441644; 238448156; 626362054; 682046757; 540883368; 626276746; 303820628; 851367382; 316265608; 644128299; 266000812; 376659412; 836977402; 627192730; 962657417; 74704161; 39383790; 702915661; 553241178; 441549278; 157230877; 19157522; 85347778; 77860278; 53942706; 462699429; 237503609; 144862104; 760520253; 594274566; 960245161; 378462891; 999789997; 515038745; 677221435; 140146051; 143089556; 806761971; 712797968; 742689570; 458271579; 297979077; 915237857; 890306143; 824689473; 699877399; 554746892; 710140849; 409396529; 976871914; 639445115; 239240971; 241139765; 404045962; 458020250; 807916714; 554806331; 220091311; 292236554; 138889187; 177906523; 120360570; 239024630; 747840369; 435111797; 334147145; 828903060; 516193229; 871830841; 252330124; 486676708; 218669420; 739789150; 856954502; 666852814; 856690389; 344911435; 476226993; 256804638; 408458139; 309697270; 688620610; 751795784; 906251710; 70378518; 421901648; 423089935; 684341436; 991234940; 971455081; 339826746; 655398735; 177366935; 919107683; 795701080; 911044276; 174614953; 18210176; 137080178; 471556323; 192746949; 505456262; 774418133; 252559193; 65146588; 846064683; 800719105; 475402315; 709472614; 937377085; 924367161; 769621634; 473963953; 471857394; 715052761; 383137386; 576835487; 221363912; 65385892; 376712725; 183304550; 176005803; 352824566; 262018865; 860754519; 574293743; 98847027; 316499344; 586136828; 537252227; 769616879; 852009990; 443119961; 213882916; 649360831; 603076659; 896127783; 840845054; 44859205; 759889313; 255315400; 120145333; 71783670; 131788600; 949155960; 712408825; 56079504; 376609321; 30025570; 264909088; 938573746; 299864319; 910938941; 576712961; 138560869; 214307082; 631887622; 58518897; 127040537; 618278152; 729395076; 913451477; 452822207; 160153925; 315213012; 451055449; 335358119; 551706402; 782487802; 575777513; 851116423; 396667945; 671140224; 951193156; 303078567; 233535935; 537334391; 290017350; 427761441; 261317762; 572194498; 79463172; 491864154; 823689051; 846719374; 214323943; 604677161; 286113118; 209333363; 984173469; 686192409; 854990860; 92580437; 545786489; 243797129; 842352387; 106861178; 20533317; 846866680; 154752522; 46627498; 905092065; 112196; 299637; 958985218; 953654412; 996002092; 304715647; 392617653; 948913678; 838022163; 666139215; 990628967; 505483582; 13508762; 932609761; 50327245; 846537776; 661890470; 956545272; 50409495; 754730070; 870931605; 207863377; 108049268; 429717296; 305287530; 870644795; 366924870; 951257041; 583622161; 261079607; 129703276; 954029183; 821580060; 401848443; 565564915; 570627690; 467987242; 30608258; 328516103; 37993054; 203628152; 939155506; 328733924; 496103455; 559873118; 218361831; 832865970; 17005262; 826617130; 904243672; 29210576; 369611000; 22287254; 114801494; 137634774; 653634065; 498179644; 268288701; 595607117; 330426919; 809754252; 802750180; 999882259; 755989653; 661772537; 444492213; 543579390; 905529044; 912136076; 673376691; 727233973; 125844358; 254887923; 228029816; 200884561; 780767002; 530716216; 171239914; 129772458; 315561467; 183521551; 946656463; 728788777; 921436729; 92685250; 865205865; 90568284; 919535057; 756682557; 241027247; 496123527; 986686686; 622353091; 816531309; 641788641; 113863053; 824067199; 175917024; 945518523; 378763368; 765437765; 566214200; 905111981; 336065633; 964896530; 229729320; 264724499; 919807349; 402990775; 862894669; 328144965; 293226084; 753516422; 975263547; 436250986; 754949620; 235599301; 76416058; 162755405; 36460248; 327077211; 886401182; 76319599; 722675368; 15723177; 682007307; 103167861; 562479365; 226743732; 28672937; 592801503; 172154553; 906183274; 985646043; 100560061; 621730335; 336286168; 415185279; 646825602; 516497177; 961205757; 649709727; 276291185; 563866038; 251934214; 404407379; 201707822; 315134183; 249898647; 845458949; 249808810; 820350289; 958046407; 808483550; 834601705; 960860877; 362231871; 729135286; 56050104; 916397243; 43502541; 742074780; 468050630; 983192592; 521388556; 521705118; 977907340; 418205653; 311325120; 553621935; 282316769; 391798058; 822361849; 252740974; 461523576; 770079300; 574087539; 123519746; 56744740; 632493722; 872560557; 899196234; 573997690; 66892146; 634157034; 848795551; 576204029; 934928695; 420734646; 786245857; 858900441; 194159381; 49599675; 645151056; 13834884; 746095992; 251297453; 137815873; 276825305; 83478808; 415452751; 627491810; 500696707; 215421927; 569683404; 7315607; 476677816; 553279272; 870905158; 656079766; 715956957; 470604357; 633304086; 447442103; 389665651; 883434394; 369486533; 383585845; 425063276; 656829679; 3149353; 611379346; 665538510; 167898998; 514367815; 894402293; 961329947; 762491758; 544600686; 580185081; 698926463; 606059538; 50592532; 502797252; 835755700; 691872830; 225546165; 720900551; 441681401; 833351745; 416569219; 439665373; 380232098; 55905686; 105478414; 199512684; 920533599; 369081545; 398399604; 44258562; 870462807; 858711053; 807030750; 597624967; 271641954; 841324805; 170768472; 848099668; 58233066; 522308922; 18490830; 930659160; 275917698; 921881562; 917305946; 855442377; 995728982; 700743290; 640129649; 796806617; 852901832; 548436388; 895590995; 73436958; 248048912; 729633410; 788092345; 976173698; 69365275; 750000106; 231112576; 310621448; 872577522; 839515904; 766400388; 462375429; 891578682; 692313596; 378147677; 340085948; 980709520; 750038540; 223682458; 264145409; 977324712; 424408416; 83305555; 884412584; 347202360; 564886574; 544349421; 567850346; 459022203; 780707538; 132472997; 651729288; 468942219; 481477233; 312762752; 708203638; 469477097; 264716281; 323856517; 283556647; 345747631; 325638637; 627490152; 652058578; 194437580; 228350139; 242177010; 682792262; 843197226; 532684615; 398492937; 582811868; 960024370; 3682272; 541541574; 173609987; 921728544; 692554983; 389344105; 777700577; 730547442; 826787612; 962814732; 438300416; 529579866; 594688593; 156694815; 627686985; 855031500; 31644694; 96488222; 134082955; 707709593; 607750350; 22689561; 879135776; 679133237; 926060167; 31382625; 736840376; 985484680; 951369344; 392009873; 126616281; 949945405; 93081454; 12666341; 136082075; 123809054; 922038926; 748581935; 830478038; 405831082; 521778741; 175857563; 577794762; 721455112; 383875519; 756280643; 408204345; 737629043; 749558627; 602290816; 641060327; 75532022; 708860993; 778578947; 153269542; 776843632; 496038364; 922902241; 725186811; 344339446; 62375307; 179087082; 536565888; 355473280; 92670008; 898950539; 225375705; 849257077; 846738997; 229355181; 28959720; 700976574; 602412523; 69822858; 720127373; 463584384; 205872666; 326555065; 659948270; 75384339; 23512863; 488383871; 834840985; 768666741; 81639340; 944222223; 977470708; 700833526; 200785773; 969731118; 271208636; 173033101; 758481502; 656826263; 909943206; 55876508; 561507577; 965685084; 311676854; 559979159; 774768246; 43887246; 806268245; 853642353; 987938803; 261981652; 250941057; 583312314; 538444293; 13555052; 160655765; 343808538; 820829676; 490615677; 455879672; 992125904; 604424219; 411715709; 191984023; 810807789; 189458942; 397451293; 215015058; 900632027; 939317370; 32131876; 371816645; 583892115; 500603678; 352207975; 327700254; 129051291; 121558358; 702080593; 30960284; 304001634; 453883094; 263876970; 126125236; 350502928; 337770019; 201403672; 103397166; 55793389; 610930754; 683959231; 155749740; 810719793; 695139445; 229632327; 453902410; 231059761; 277856389; 136217145; 595790665; 830252833; 166478312; 707203500; 673583692; 200683664; 940157830; 551650320; 224316319; 550408584; 562947013; 67402908; 883226423; 486367892; 917452981; 467827665; 71729281; 700758438; 366271748; 471514062; 803372351; 196582062; 148624990; 122685977; 111083022; 837318354; 357710970; 584286555; 890564308; 690421114; 39146276; 708554139; 576243697; 594285058; 859057347; 400611209; 582910284; 147284829; 40394114; 805970330; 756863230; 325865573; 100888483; 356923159; 88377138; 636390268; 523434050; 368152087; 624620911; 579431353; 42497043; 969820791; 299374822; 308159813; 702175154; 939335999; 456804068; 761602804; 943952152; 997960914; 479018906; 860745522; 554536931; 149810208; 495559878; 857893405; 25721712; 534519131; 544308690; 32299516; 188350752; 972140613; 655297387; 257296921; 917764592; 335672895; 280112458; 325358770; 607886021; 293396687; 188670220; 835349532; 890719274; 184008301; 707433688; 38456533; 887664779; 756760519; 882256116; 978353484; 264497750; 152421396; 521376097; 803685029; 597054891; 802781125; 396403851; 504697923; 91482447; 268405498; 549995692; 551306558; 358047053; 723338970; 515716889; 398558332; 244403812; 463457169; 123666112; 505452231; 855514358; 901432864; 341412349; 14461591; 758180969; 966753962; 647028359; 808997039; 938766646; 487492906; 516654777; 72680100; 111521284; 52485651; 12415555; 760356278; 425994613; 667255866; 690981038; 790293942; 834770437; 649385860; 416399555; 871392417; 247490400; 435762999; 328613005; 184355384; 253426420; 391886819; 523644636; 297265913; 438550475; 418261452; 532418530; 857765117; 585071133; 919004433; 358601121; 476249662; 699880980; 655916721; 468653762; 387409869; 920452553; 921279852; 260019161; 113284527; 871709053; 958114481; 501500363; 440003328; 513405792; 95510357; 786732787; 709988093; 321287583; 887042288; 44150923; 779942807; 54525564; 792932326; 344066674; 476623299; 551038752; 143835553; 199052933; 819277571; 349489093; 263085058; 35096467; 705374463; 590501466; 448354092; 635017452; 587910394; 500844935; 400636400; 585228434; 192754503; 794340948; 453773147; 187174836; 643711159; 319272695; 908856553; 192860718; 401898617; 919924294; 64667169; 139515306; 340432089; 969703697; 874792247; 434625948; 221246614; 748172402; 630583578; 614532122; 794315068; 706727110; 910548502; 336155991; 750454626; 402837668; 12697623; 329681015; 273807737; 502759985; 425288080; 902748163; 485834251; 620534362; 863518169; 835003766; 284927718; 338536546; 20561896; 222795812; 245147887; 880655975; 174868338; 416200790; 626684292; 247184873; 857121725; 973289228; 253320204; 201557228; 822321103; 197458093; 14844656; 509796552; 936617439; 592838062; 906237408; 261344098; 531646160; 303351859; 785849058; 860382814; 554082673; 949009612; 126467059; 810482477; 663764488; 571523311; 795694619; 782326409; 104361127; 272416162; 213123402; 702204906; 624352306; 354169893; 787576070; 626113079; 405737501; 644873493; 272345896; 543712582; 596540508; 168217505; 272709232; 330573796; 203685204; 302278414; 738187848; 425899921; 684264826; 316570898; 444051648; 692090960; 855758863; 995080675; 568771600; 823156484; 66740492; 481695330; 51974606; 701690716; 474102222; 475785291; 769990123; 661160432; 595256715; 574812299; 654440248; 98803644; 928201015; 960328389; 684898983; 315013302; 139869957; 24915240; 3327391; 504233458; 719864300; 681960816; 573612168; 606992275; 533432116; 295670418; 945518849; 105651347; 38904965; 886932361; 603389563; 242067801; 35808766; 860453644; 934194387; 640536761; 11289302; 265442880; 17875945; 749340994; 742185679; 438688316; 798298457; 249657105; 848926801; 329381330; 764840396; 593585385; 944333965; 412487490; 153144171; 782783295; 798540285; 285437524; 673833636; 180518430; 316423825; 677448673; 573867014; 669055326; 600682247; 864390637; 754626024; 664383295; 944319188; 950222490; 640079717; 722034505; 245102806; 370341; 614727322; 638716774; 975417037; 794012652; 187917292; 270626440; 804279034; 437630378; 514739973; 593759895; 733882943; 359213002; 798719033; 652726125; 298339457; 659843174; 460104375; 381089534; 650612100; 185717258; 428424159; 95942198; 235157387; 945979648; 405497162; 156669756; 556813634; 766100816; 445630904; 336472665; 30361939; 621154778; 932609491; 46497215; 216071175; 14083277; 89555529; 729334321; 484494032; 940734432; 781643290; 763625848; 387054702; 920403942; 675539297; 174425054; 725116467; 927926536; 480359565; 86840971; 614263012; 307820388; 923811961; 556143527; 162115507; 448855786; 646450586; 443432899; 632091540; 419008352; 466221681; 735492634; 960692825; 382541874; 592446403; 368482601; 491676940; 982953211; 366144489; 345258442; 963405787; 515688992; 860675361; 143401098; 94082829; 707206925; 151207314; 781234212; 222700841; 523779611; 151216736; 999524801; 301081266; 75155613; 692790736; 708029103; 111119756; 449069957; 465097396; 620487442; 127143948; 261124522; 261506679; 303449270; 549125968; 770971328; 511720863; 453047503; 725735678; 767628809; 105599169; 299842834; 214008243; 359908293; 162631409; 10365878; 915129137; 901414871; 512015043; 139292103; 738126349; 659331747; 645832921; 856312599; 675626293; 317600409; 220197527; 656543482; 687296054; 185464825; 317914996; 6786333; 815093757; 556744207; 616176295; 778371215; 285773040; 322746971; 657830045; 751379694; 243084447; 452185644; 828335303; 908896480; 989115992; 263856708; 118931166; 887386521; 216721561; 499166340; 417858314; 579208406; 50902572; 965903349; 882045655; 599817827; 109603552; 766176808; 593687305; 32237903; 443799839; 375924343; 253007611; 822371475; 176051481; 236858610; 324188904; 238383252; 982724940; 280550866; 465577771; 676680134; 105197358; 378651515; 380094159; 77092831; 580002729; 672434637; 713354491; 458945257; 286382361; 808766109; 453641881; 235715524; 81306744; 329381221; 860538083; 929289283; 295237387; 536837977; 590161724; 650000477; 950168814; 226583369; 432854682; 785626293; 507697490; 93740552; 64380398; 686537629; 139958898; 591427240; 869325601; 232247266; 680534858; 715044575; 207612560; 707820890; 265557402; 23597233; 333420463; 104855902; 268362180; 997183233; 861625804; 489000164; 129006841; 671428203; 392068678; 920890315; 384091965; 482159835; 60560458; 23331273; 922416045; 958922310; 696965753; 39029891; 585043915; 503178364; 408319234; 99895195; 776333395; 343207165; 965161290; 313428793; 392884010; 794715218; 828029117; 988037434; 722617191; 178831418; 590307004; 768216725; 956036514; 497056124; 301056276; 550706736; 181028595; 989654714; 323579353; 62843817; 101353434; 485720308; 229437677; 844110627; 896490978; 588493838; 745795723; 360503327; 770966554; 20853207; 154898569; 909746246; 972072696; 828680471; 358192988; 52940671; 479522307; 375247654; 373895078; 145385344; 521079278; 994480575; 395003018; 527329108; 181736575; 235737143; 852098233; 862066536; 586835017; 852518001; 880317169; 564304326; 827997520; 120717853; 535836825; 129227870; 255580066; 638769489; 928231225; 809510793; 157254495; 584274839; 588192060; 965473119; 168133090; 225625917; 650420338; 795559173; 142888362; 363973227; 635562520; 504587634; 314477625; 585578446; 552135074; 476298191; 518789654; 294229216; 752188167; 768694030; 532171191; 769907525; 97819289; 634700441; 593080915; 726308460; 715340765; 488032457; 377980928; 180098346; 57624264; 94704566; 347567153; 285369683; 539644556; 391756821; 839765483; 490497563; 548928943; 599003444; 427583169; 574957892; 188450771; 626950102; 466792327; 798362000; 664567071; 460952522; 711663779; 731800991; 237964336; 176285041; 416369888; 4811902; 371781935; 342373965; 526734537; 182525197; 502545048; 603679606; 88271057; 721554294; 325714682; 487609392; 652514006; 738087946; 868034025; 42095323; 523696837; 819998166; 326586990; 887181837; 282184313; 555043394; 574333765; 985659103; 75896914; 272043476; 578467640; 186783044; 667756373; 303681052; 750168624; 570328983; 219074870; 290923010; 326701642; 427682597; 114765056; 293460151; 260504630; 677079279; 136799069; 983649762; 323244950; 650334982; 538198163; 297197099; 79550470; 324411624; 104250671; 444079167; 274272984; 452337385; 884351633; 276438210; 648970476; 710233351; 887946651; 617260135; 432707; 415558277; 549334312; 218592370; 451701990; 112894421; 768432515; 743031143; 816216242; 20441344; 335324430; 416168274; 396355587; 639550204; 156213013; 645077861; 861998967; 357809780; 19732213; 189312310; 877973659; 424517645; 528848367; 20491617; 90356921; 911308032; 167638020; 471744547; 141427407; 966500949; 451357804; 40928490; 283877779; 843801933; 999146454; 755296802; 765770991; 270435468; 215900742; 516595976; 307149994; 164694938; 415673216; 823965642; 328939624; 456184575; 241794084; 997688795; 239228966; 757076469; 446792919; 697030618; 860717887; 142353364; 345253514; 387137624; 333367922; 382343136; 353897647; 164047905; 151839930; 458558305; 110736036; 716061851; 721211157; 345059634; 982146594; 345627108; 105917876; 602898134; 47064089; 285569692; 569800832; 179221649; 61388578; 501513428; 23575322; 795221002; 61897167; 144053055; 953331385; 44186969; 317469024; 432661467; 695896867; 208608683; 876360916; 550493793; 558870302; 359003314; 942326196; 20753216; 786958411; 432835606; 316645705; 473169149; 557990056; 259878585; 893245072; 782002623; 205011263; 443161086; 229300296; 763698940; 335210098; 987528918; 488116168; 72866843; 257486222; 857581597; 227969005; 543593435; 276114744; 463412339; 317985327; 632053938; 54683420; 836313861; 245871923; 951602923; 34506969; 617218091; 797084729; 210052371; 950493172; 203852702; 295208819; 397310424; 143770456; 525612819; 764982533; 746814756; 421536763; 970933121; 188574366; 317733612; 613854847; 884990256; 112707046; 526901204; 20174694; 577531537; 499367341; 767898116; 369468643; 813127810; 614179515; 207270520; 614991490; 718624615; 708358199; 533269592; 25596282; 926864664; 50202150; 900377730; 600655245; 856198576; 521745716; 113175124; 76879721; 703080383; 750792369; 54354237; 158229527; 826972470; 86620541; 231512828; 35719184; 285848032; 381313012; 430182972; 397784744; 290285431; 147930931; 857884080; 749614548; 230805231; 750500414; 741368356; 509127710; 250449003; 652843003; 779704416; 987207096; 835158721; 416430411; 855312022; 956819922; 715917123; 72204936; 942920788; 41314005; 40165625; 301873442; 926760794; 804129737; 912538096; 663905383; 893675117; 66353581; 533073677; 786598178; 801382681; 256169131; 608365922; 732050880; 971751166; 496086158; 354347180; 396406029; 911490803; 981205104; 783764430; 185643897; 753816186; 414055342; 999332386; 200324334; 91175970; 597603860; 375098602; 425059099; 127037801; 305479748; 961322178; 463733629; 851381816; 766286128; 338071229; 126546228; 536764684; 779891875; 965149261; 349680873; 805293306; 981590963; 133617221; 145711304; 717611295; 577315218; 580088322; 642507661; 851354295; 351790329; 845295499; 520672491; 958979377; 883011649; 451893744; 584530711; 608298560; 702933921; 35735590; 380048048; 706839851; 916113857; 2995882; 928003108; 707614588; 562634020; 638468944; 780323649; 229686680; 191318790; 262365354; 152824907; 241197789; 324015943; 823543821; 903099581; 749478660; 308860658; 282157358; 208500181; 319866734; 633746609; 688998323; 552898151; 186647199; 879745896; 615983645; 900124210; 522123035; 192644410; 292854209; 371031081; 197963206; 336735156; 27850315; 436926620; 393476078; 838932336; 163174924; 981015940; 222442984; 673218469; 828681798; 425931436; 10753166; 513730984; 107906718; 189627153; 109807840; 689069877; 237043119; 140164364; 454697480; 531552405; 55344622; 948921201; 483579204; 160804612; 678109401; 741788538; 910841448; 747481925; 770655095; 970891811; 380472818; 708103094; 734752022; 230730591; 357956153; 827370516; 197639843; 756176534; 244490907; 380944695; 107937052; 958028095; 574839888; 949216965; 612005329; 29486519; 560410136; 742753883; 557902670; 33855007; 415021238; 331984733; 914255889; 513621284; 486871405; 922836059; 736416147; 244067830; 865196088; 352616712; 949655815; 406761668; 637790167; 571195043; 228352096; 669838374; 979087355; 309631908; 541579609; 993913770; 835667557; 869548927; 852036816; 756801256; 769513486; 385018677; 129503778; 410307686; 687614385; 509248084; 833126123; 947140672; 441347616; 291781189; 803879176; 508550394; 639705140; 654598553; 125453077; 310997921; 380987503; 919756559; 359874798; 840038576; 738898693; 920180799; 755772666; 978192386; 124633010; 833818411; 722110167; 370398563; 189654626; 449567764; 605628064; 144970051; 533896610; 593871553; 758264410; 891683111; 983992117; 506511711; 791256241; 309636705; 756208008; 411505732; 226214474; 936569746; 518007580; 377805058; 21109514; 234241084; 477312461; 982205995; 827728157; 427884633; 379028102; 7089713; 546055320; 896239475; 130767171; 9398098; 276214540; 4372550; 266345018; 756210376; 273133719; 895728944; 364322660; 380218439; 196739442; 975511089; 472386146; 234987013; 422428022; 557131588; 986434205; 150839948; 379423659; 941195030; 467562984; 219281908; 999309996; 869469723; 358049298; 75830726; 412495991; 471432900; 824912183; 337559659; 180954684; 32935218; 906900381; 87223350; 982802948; 317469512; 614766643; 972943366; 902675390; 470632698; 399613386; 648646160; 132879332; 76606226; 386686828; 237420607; 65634409; 672647678; 357072612; 47302329; 803432752; 503881102; 721070545; 246528412; 771286641; 556142873; 250631187; 276979004; 72662868; 229450146; 725817839; 162811472; 792776833; 136537516; 541111601; 815531206; 130862232; 61522483; 506300652; 277017611; 133392045; 549045298; 941839351; 111101917; 509278170; 594921731; 120013364; 916980974; 590742366; 706185040; 726829942; 430625870; 67311630; 622860316; 977525558; 778843887; 88878046; 387939575; 295376451; 960612686; 687848413; 159662348; 368350085; 883320801; 590817381; 638861467; 983286265; 868019301; 305567690; 65837794; 426034142; 170605912; 487638198; 224759256; 392365940; 442672107; 925910478; 55202163; 658157668; 170517056; 572739976; 758493152; 669634321; 952620677; 699409230; 682528442; 684809153; 560309969; 711380956; 921208330; 470088796; 786870393; 374992763; 790994853; 51196335; 915037065; 621284154; 871443864; 582364150; 659193104; 937861885; 996421422; 186447754; 434579767; 398245414; 49787170; 618771511; 506180380; 973858954; 433993854; 610500047; 430783206; 654070170; 460186941; 89596185; 740320376; 632604130; 416051297; 898126603; 651197279; 306787561; 605895844; 879461207; 115406586; 841746311; 52036494; 816231293; 950827591; 976704133; 624314954; 632623617; 644836317; 420591215; 484802984; 713781307; 753410294; 201947059; 149834152; 413683080; 467308961; 484902564; 669942970; 588533537; 902213154; 912254243; 948462401; 887096076; 995951367; 691942781; 758426458; 282207013; 294982209; 283621065; 900151617; 525427826; 298683475; 139194442; 279677546; 735804134; 745233451; 526597005; 31571598; 124842070; 257372617; 19787018; 144650860; 9498228; 119756978; 677872555; 97516314; 116961418; 53965360; 555984527; 633952548; 39518381; 10862546; 689130289; 592701477; 365465448; 261712076; 343016200; 491821624; 10614421; 336974512; 938918388; 218232405; 994440509; 154633452; 65442284; 444539728; 231691712; 346912799; 318464624; 717379954; 939106763; 330874142; 375377299; 622237746; 533271132; 918010420; 848192107; 673641086; 843620542; 125037337; 139669001; 907850210; 818468422; 880291735; 890276985; 70686367; 654841458; 911496167; 592155098; 264658713; 462637969; 102785578; 973466325; 766413303; 906131303; 395762989; 356770764; 485388122; 757605420; 200998747; 61749296; 329648083; 569921571; 792214096; 31767319; 516098162; 400241649; 356962887; 496741690; 788789882; 632169825; 351404910; 323302834; 50988672; 638040096; 509948228; 789555593; 164424725; 275746535; 380366308; 895227591; 681211108; 306210514; 342408271; 273747133; 664861659; 609081285; 333953396; 221249826; 923209879; 681808320; 279771049; 643464188; 518370665; 99108270; 73615477; 551676282; 671149026; 905951958; 335826908; 86525995; 25344208; 679451044; 862999747; 384392717; 731765786; 512568277; 557720614; 33478673; 167886131; 617498305; 965232735; 976523688; 848327979; 101845194; 121418150; 124940735; 334205371; 890511073; 657968076; 347890685; 915394179; 127844287; 983301781; 714634393; 239798050; 185393326; 75877105; 325557316; 629560044; 289952016; 929915911; 285117439; 33711837; 505894315; 984283206; 187186441; 537956696; 674226315; 52188017; 655620300; 866499822; 233603473; 191077678; 812242720; 502624167; 729351922; 562376952; 52406675; 170560507; 783598862; 307964838; 129552262; 494218743; 301706072; 919583913; 385237560; 468598701; 449956929; 136523748; 21669073; 184180012; 125712901; 606448000; 220352341; 141147447; 717248571; 760137717; 200750523; 771341040; 767836068; 72982472; 585032941; 212465788; 588356602; 639435325; 117948839; 506963762; 258660274; 161448830; 344125197; 697001200; 178568955; 488300467; 908983863; 425969393; 989187781; 357316644; 748972060; 983771976; 251078721; 539879040; 80573018; 412992147; 112213226; 801292119; 62454405; 49800964; 20766066; 605237874; 432807539; 348929471; 607016881; 913868058; 771484261; 165089478; 791827224; 616916364; 691117776; 360041028; 861541741; 953180695; 98874953; 311854813; 87292361; 906717094; 333515024; 159220399; 762492519; 76346981; 287074530; 871520009; 938235174; 932400676; 505304517; 377025689; 31245674; 320422759; 507239784; 33739167; 231172750; 44843432; 669873635; 389369295; 796892858; 87035567; 834905162; 107205219; 243091404; 198874246; 751051736; 725964943; 582302157; 342483472; 984778762; 657645058; 505444911; 972467433; 58726968; 928800042; 49107721; 448185713; 548686008; 35224026; 947247875; 97737428; 783044116; 144511943; 800711874; 283467033; 858717144; 794612661; 739761623; 607953813; 428757734; 899075216; 839118224; 288211373; 901078791; 749824013; 621793571; 937019300; 404148801; 582575386; 617126581; 671998963; 442807944; 86141702; 417957743; 442242536; 995714005; 991807270; 840945109; 278758115; 265930048; 35195111; 612548250; 724127720; 372055509; 328817719; 269320951; 477918782; 940255201; 660424529; 272479241; 949914855; 828319726; 90656885; 166206766; 295914138; 381714305; 727234267; 747820219; 324208858; 210810504; 510833921; 39168019; 486894459; 438960169; 6043567; 60834360; 957665371; 937949768; 680578039; 874334167; 485556726; 876390123; 345620401; 724001028; 731248734; 847999848; 263613528; 877279388; 689245934; 192616418; 676546207; 271920507; 325264364; 150264846; 132588342; 967195595; 254321700; 727209483; 916086425; 897288698; 858363012; 358784708; 410441185; 374913035; 322194900; 267677220; 256869087; 629845812; 227735982; 726959577; 762328558; 604965181; 963696048; 119339068; 894428054; 886174579; 77365310; 218861570; 44695210; 510560066; 637811002; 680279967; 478710279; 36620338; 798399069; 783569797; 222176580; 206385717; 345974343; 434018061; 831140699; 12591537; 277312379; 567929026; 724344501; 744532518; 627316148; 537037140; 455281232; 967552820; 935641412; 108661016; 225168713; 357828473; 525943886; 577213576; 240551993; 307586548; 463742043; 825617220; 235700626; 778003789; 577421288; 463253859; 434083927; 869120427; 824512860; 980598123; 602117032; 716448768; 527472027; 995701770; 269931932; 813325890; 415801387; 712591304; 95972444; 557127431; 749463129; 267461509; 361964268; 927595464; 172453196; 657609904; 893905759; 987744562; 991281514; 243890980; 196289223; 131154991; 855920234; 59670267; 584377875; 403583607; 824388852; 341067071; 319942097; 168013782; 22617933; 226772846; 383564235; 310407318; 25687593; 915476143; 101235082; 527484763; 507151178; 723353343; 125265866; 372594950; 357035462; 24910223; 276891579; 346959973; 810304388; 912148206; 876694174; 806308933; 726865950; 281246458; 719426441; 428330680; 483080191; 694571071; 804990146; 433479760; 400171068; 112639525; 58541536; 431301202; 974268235; 261263688; 416940081; 970719795; 305320288; 809096027; 242230863; 509688520; 44562697; 921823201; 197311048; 869470493; 563743266; 23575482; 641954863; 523968708; 447898244; 54874030; 982672674; 290017990; 310409058; 496330559; 188140356; 114533835; 652688692; 867515487; 165824271; 56235083; 664013452; 873609810; 370415077; 508278825; 42409370; 927684900; 963854096; 254963920; 429985736; 793130842; 166276441; 414177709; 615600490; 688529898; 942692061; 322366815; 436234898; 473724141; 362668769; 347368654; 632370485; 992198558; 183958496; 681129945; 678310818; 87345402; 722220774; 511000100; 93691228; 969187452; 466341116; 959739199; 919696834; 46016233; 972132432; 843965627; 854686336; 570574575; 476653003; 637190730; 9802935; 391078599; 406945821; 599819755; 444862305; 837374881; 105353080; 847419213; 104069217; 825475032; 897002037; 218085293; 713191592; 261400185; 88612834; 340154489; 38404672; 340802290; 662221692; 215123316; 386138781; 158171976; 205915399; 44528806; 860436107; 464676416; 441192090; 519880977; 773388399; 267255666; 198177585; 862680761; 898922425; 211268062; 827987056; 646030582; 5202313; 455796465; 382565924; 494751524; 15043948; 265095310; 737400033; 702177600; 247872402; 540819600; 853853314; 269119425; 559328773; 104033327; 403593589; 6276946; 837796314; 456176212; 832382157; 580954821; 618092527; 265422825; 425603157; 904858436; 666441218; 405708993; 424999175; 16320312; 227803425; 434329047; 232236419; 891832693; 155350803; 83798073; 320106016; 152817708; 291957507; 477600017; 266426733; 200446453; 340583347; 129482871; 908427074; 121533534; 809291017; 140321173; 857630771; 596965956; 996902531; 991092450; 475951458; 484447835; 356719067; 425373756; 985327648; 264094432; 316323936; 563233578; 881529553; 525384343; 975823266; 260024582; 914190868; 632668231; 354618179; 122528312; 819689964; 16070054; 341292636; 549977880; 764951302; 791759663; 74585299; 318743875; 737470236; 870054828; 611031071; 495249183; 143029515; 406280608; 220527538; 496282164; 163920873; 97482156; 393432568; 565118769; 935705097; 481748975; 484702563; 298191781; 745321522; 201785271; 519598368; 542315458; 231105058; 721696943; 131435917; 788514490; 931760806; 998871696; 377407005; 923308926; 754862951; 517375695; 37531454; 155765150; 157919682; 726006586; 770858071; 357639394; 136586633; 968633647; 69472018; 263856452; 766468715; 545906460; 888131232; 957881409; 751188432; 237611461; 949005476; 385246112; 408560238; 212836220; 658397537; 824178548; 778368842; 483046123; 919707691; 138236182; 379853246; 157354142; 496676622; 928052076; 167156822; 916042570; 384843901; 303118094; 280164845; 177884466; 540407171; 860736697; 315263684; 159844051; 684202291; 368189445; 981652770; 118490903; 848190025; 33509730; 147034517; 404723935; 982977794; 6575537; 236603211; 274482246; 327487696; 299874105; 684480745; 501836217; 209088416; 112679239; 810706360; 800279930; 638525669; 123241835; 873181044; 574232237; 367513164; 978878334; 231264170; 978310186; 247945857; 995680594; 279271030; 761599505; 542360300; 485713521; 716166265; 482428663; 352825918; 616555623; 316326878; 154685228; 347123702; 983595415; 347631623; 402040455; 511724393; 841313344; 746179042; 47384908; 850046291; 431752752; 508900948; 310548294; 827556610; 841503591; 138243340; 109504356; 756507993; 143149478; 289829822; 743824066; 773141033; 379045786; 399699318; 174050426; 659023556; 354802023; 400142258; 870387367; 558484895; 793594152; 289289173; 716860287; 99287050; 566104760; 621050858; 968737677; 9286678; 194569962; 853200669; 239176733; 836863664; 298908844; 687556763; 52103658; 456029821; 992556450; 881165383; 187216789; 596743483; 970208628; 632550627; 300335108; 574054515; 718458455; 613016418; 366654491; 603979794; 823490250; 521767945; 788319387; 124023144; 932100120; 997303344; 718712824; 131651236; 63477754; 824862235; 548185104; 563258383; 386748278; 426333617; 465579148; 135922212; 184902459; 503847286; 248423739; 629386095; 247627229; 851155612; 3213692; 276397511; 923584945; 109721175; 858356278; 857985155; 222413139; 118239718; 377279864; 458147138; 707568925; 250806443; 431788223; 268782812; 12454790; 106388022; 165729344; 359657097; 91462362; 58059025; 371561980; 274539839; 973251987; 469848676; 909459248; 406464900; 449617826; 601378772; 293757865; 809420996; 322508190; 455116150; 628058320; 773681949; 864176211; 745049378; 31913114; 285242219; 100631903; 670807571; 633149764; 149038374; 67697022; 957884170; 885019927; 885353939; 481266110; 487154812; 69467403; 769200162; 92927442; 947966248; 869466520; 642673585; 693146968; 736052730; 36122708; 222404234; 854341588; 34590618; 242224037; 744575842; 773108902; 683638165; 198411035; 835119965; 149171791; 97307964; 99636212; 168338884; 815474129; 758000718; 8401984; 554684786; 629175248; 668563821; 514909009; 120465656; 43912183; 695941568; 901547397; 367343299; 515421631; 972961170; 861878893; 340034831; 165642857; 767469497; 883193352; 493539676; 369589477; 463709625; 305700411; 416223766; 435392017; 201494210; 737020501; 396217022; 165932836; 360372300; 530688241; 750351641; 71265309; 638241335; 725389754; 47964576; 176542909; 374952730; 904637825; 298243196; 806103369; 972469260; 635369482; 142914624; 564172056; 734815605; 346581310; 35691953; 353092445; 353898784; 23540850; 28718; 424798251; 958973541; 980886438; 775579219; 489498761; 385242608; 498326857; 959141090; 475967884; 716748966; 290005446; 295185096; 968875408; 890984899; 941802898; 717671621; 515582758; 745442814; 804950924; 652589608; 310576689; 950755742; 583534268; 109350503; 898010212; 399926441; 547435010; 570893268; 556810156; 524645391; 567097554; 784109423; 141206726; 561925838; 896751957; 725892804; 299950571; 144065904; 862603212; 625188461; 778991009; 969376031; 988824975; 911780770; 199181448; 887258140; 570855022; 795527087; 274788179; 568950446; 465475912; 537445235; 843159615; 769964194; 266551735; 79227977; 549590593; 123554100; 242949547; 646825547; 49339445; 411713125; 913863128; 755951191; 8218741; 698587729; 981992503; 459054941; 608496525; 739694388; 631934345; 202341792; 590939722; 270422032; 836204283; 669871216; 102769184; 157156748; 313858923; 480781579; 114187897; 645888225; 541102180; 789160594; 451471655; 4060879; 548127564; 720906368; 278171895; 872537673; 664972776; 468566971; 787417352; 199187615; 531143323; 450297193; 122006420; 471414576; 679701625; 492222692; 810419631; 897801394; 126852766; 607682448; 48468784; 911957931; 827603573; 242979621; 887344563; 332521506; 17850357; 586431462; 36688826; 409913292; 907216388; 982942912; 165544121; 803478317; 402858233; 641561103; 287246871; 708043565; 219032040; 276396115; 570130781; 333333520; 570183283; 835135129; 913099649; 696979695; 850264952; 447800758; 659787336; 818896009; 819509818; 545462610; 389746798; 501076962; 712257437; 766617878; 854967464; 408580069; 848458761; 703212719; 367405729; 165409075; 882898801; 576907222; 745172753; 536798735; 718844822; 584087000; 773491223; 336933552; 812810257; 944333585; 696583528; 954347361; 100707279; 44699249; 856659467; 918711568; 816570598; 261600758; 884399751; 331074471; 880098966; 917881173; 42872016; 136590917; 548449679; 217073024; 372825789; 23197147; 709364524; 970025986; 570421076; 222103953; 10784865; 657730144; 336789282; 578584206; 503703130; 889850857; 116102054; 95559709; 133695080; 802050293; 957969466; 795182850; 126474473; 435184832; 146285215; 985870390; 932616177; 856168231; 112721485; 67552184; 104846341; 19524885; 975681429; 259912916; 974067053; 281207654; 627189101; 536668229; 192480185; 439348407; 490192215; 264384099; 665617633; 947324199; 804165028; 357889219; 933864378; 473822830; 959641909; 887702478; 404843415; 743516297; 862255670; 806962546; 326186784; 275094596; 958981574; 184710520; 266678898; 720090435; 240245789; 221554559; 44648690; 57221537; 571386582; 145926347; 475665645; 217977202; 294434208; 1000556; 878690996; 982560600; 382658818; 821382914; 900321573; 893387899; 776554701; 852708386; 167738329; 345882832; 822660958; 8550088; 692558077; 535534860; 622468226; 739755324; 137002878; 501740752; 208149620; 409522998; 792416080; 125577315; 215217632; 171486326; 853305859; 680629663; 570048808; 107207630; 212546001; 259848439; 485622170; 66728976; 171267374; 747204922; 851980099; 412044440; 396600081; 871070501; 474463314; 308748402; 18852292; 270249962; 832594899; 540706493; 459428993; 538662586; 574172508; 248396029; 808184926; 760794306; 957640140; 586385949; 647217396; 180793807; 660186119; 616809724; 86567255; 805639306; 342464845; 460158168; 384090456; 459732530; 58726460; 151334945; 252806686; 9413074; 429028486; 381107239; 720193856; 571400168; 334919714; 936388409; 71642427; 499900881; 104455259; 772008100; 980935349; 379456361; 693744247; 132936197; 258534885; 578821958; 189137677; 640271217; 422990297; 832468299; 677399995; 754046702; 52025212; 819154278; 143218648; 212521900; 878508927; 784307357; 342346513; 350230339; 1541877; 510213478; 834153020; 41852535; 881033414; 215089344; 165562066; 34195428; 449294949; 748207596; 235702037; 221458330; 196602435; 303059289; 111330286; 63028018; 481599499; 364661949; 997115167; 476786255; 888020177; 40553467; 214767562; 787933337; 998443336; 596515537; 536117784; 348164066; 534003406; 554104286; 248552438; 287220012; 187214619; 808705393; 557394046; 505804040; 940929403; 358069326; 268782549; 223189889; 377094472; 813379186; 369199814; 923311866; 220643525; 61659886; 887356576; 360226010; 471354275; 219650345; 175854558; 214489840; 981526259; 731984674; 379741610; 35941470; 746069062; 414763430; 247656694; 710541619; 833196192; 801542093; 737128951; 3405972; 340043651; 35576087; 158606056; 274764426; 76602329; 503781531; 424150449; 81919257; 160709731; 330180283; 490554136; 64903404; 89330712; 677476146; 192651700; 198261297; 721037544; 237038674; 719368575; 138102910; 214098294; 141488700; 790841095; 958072328; 890756275; 759114536; 393202250; 310312265; 278559250; 494379670; 70653635; 987299098; 338210897; 54573434; 715029911; 108018437; 970971832; 979384006; 631161989; 335344023; 113926385; 927192405; 66118048; 984450482; 378541734; 402360132; 394647725; 574303488; 882832810; 169713763; 599444812; 527677230; 328829274; 862328498; 329891960; 757993183; 631187618; 826028845; 651152408; 293871820; 23820443; 844734576; 592040655; 907282711; 167084140; 985796347; 623908897; 195027418; 746944339; 176027694; 943902823; 633054325; 724825691; 514281387; 951814150; 39638840; 761365014; 286632256; 220532155; 436896180; 234859567; 157397662; 923431898; 701825971; 321163988; 297419174; 379156598; 602010204; 993075887; 357854539; 204332446; 767814778; 679746544; 369383406; 17004920; 852106715; 125603561; 146594146; 271078245; 878228830; 847932528; 231397658; 133265059; 788849456; 382209386; 388241140; 596187568; 370905840; 131578117; 985862068; 741365615; 433221929; 750815029; 533468383; 145067501; 779309059; 667900401; 851577210; 416940039; 992844517; 880933051; 177094443; 699248049; 573610680; 773395271; 666406173; 771406361; 688263526; 371832544; 932759653; 624326480; 708309925; 410528586; 10714641; 129479984; 639621718; 893425627; 3714651; 63010595; 120830609; 74589909; 137962743; 756894618; 719411601; 530606738; 974457984; 645448440; 490277050; 475048515; 343557346; 431136010; 503203796; 525492313; 550084382; 56946569; 312756056; 612573807; 516883431; 884704482; 34205611; 182589922; 169051347; 354267342; 990266902; 978451169; 84017101; 333021681; 26077586; 94782634; 832647603; 8593248; 368183402; 153034738; 255822434; 581063224; 923198485; 878629787; 823283739; 87557219; 834096950; 836092579; 232540856; 630783434; 192921569; 162416942; 607774404; 355020294; 65302049; 159116742; 490431921; 360123900; 851224969; 124513058; 376989026; 785086985; 527255559; 213468829; 732901285; 142582436; 381498496; 549213237; 625519157; 101833185; 851749836; 304273739; 927993567; 17415440; 369103004; 283915938; 327616221; 310751126; 294525860; 901698370; 986442782; 459024508; 684826556; 668241171; 615107324; 711518947; 475622480; 939409251; 556576397; 22941611; 952898471; 709191774; 890981381; 730932662; 128302101; 674219807; 434588322; 90988453; 298445808; 754573374; 752780501; 512784202; 222766658; 366330042; 101327584; 288399158; 315987315; 614860366; 781675333; 221351195; 317732963; 839526568; 7478759; 42433496; 784546372; 79851701; 745680229; 897733828; 661819230; 946734617; 442749894; 233708607; 139432000; 787671339; 171749968; 349294767; 57744762; 614542085; 275389466; 501905979; 387590557; 188458098; 304930418; 446497563; 243666958; 496937048; 494570841; 265147494; 883684813; 87291710; 668825958; 830191807; 478849539; 732748512; 775864361; 389129597; 411076348; 567517818; 461382583; 487216002; 154152343; 494430592; 145637982; 151861159; 894817857; 629596392; 884729850; 605261406; 373474851; 403906977; 93551635; 285534607; 898465285; 375819421; 918276349; 516993110; 23495003; 496147704; 969180966; 906340624; 786361214; 703466773; 794907939; 817172063; 860320689; 853181729; 540880371; 849708088; 686540052; 560239001; 44982166; 285555058; 954523382; 310176542; 453436456; 493666779; 107181628; 700689008; 106875519; 166644453; 89236258; 396109078; 404825345; 844059277; 667206210; 231257890; 990775321; 667173592; 361965547; 429819063; 850969303; 6773773; 186474188; 695957122; 807378882; 266942706; 175684766; 64941195; 123638451; 38472501; 99445075; 4490830; 791344751; 688029186; 235422816; 679246415; 976096826; 55358734; 820229065; 593675715; 71179407; 880620106; 632711220; 445437871; 118122175; 20713820; 679020939; 586778742; 452212170; 658780578; 965121495; 650781520; 234051892; 341459992; 554556507; 13199193; 318311096; 302644962; 283890783; 1228935; 157015633; 491578834; 259857393; 533330737; 265673477; 654572800; 742970685; 934430897; 703512306; 701322495; 254610808; 346732148; 332337796; 607301575; 409813286; 966944873; 542599361; 906779699; 811845131; 279776807; 599609316; 570259075; 681710559; 369479264; 774534558; 821126399; 833806206; 893653786; 761181029; 469905307; 385588411; 9356635; 341470629; 838924198; 750770396; 618843651; 97225757; 884096244; 556184919; 560389907; 574870566; 397142354; 960153864; 540551823; 123302825; 572356052; 256553420; 632306169; 127931026; 716941002; 347624921; 201623428; 370205530; 556424589; 953340340; 215943549; 768492924; 865569851; 531675643; 499923227; 929509759; 745147853; 509455022; 806130858; 627388795; 934509478; 330383349; 523241216; 795205541; 890066092; 292134984; 559662803; 143496690; 41426042; 845566055; 311044510; 979190646; 556116651; 763182676; 846470052; 523742680; 685991769; 342666102; 353862793; 310268389; 324704861; 248522546; 563237688; 624163467; 244658585; 710155394; 236825599; 44828619; 865010628; 211437817; 207849550; 801617176; 469600429; 100954313; 330455082; 74344335; 537619389; 62568311; 829975012; 119875899; 502813665; 54469436; 696833723; 184933527; 145931055; 785196795; 576560722; 207054704; 987118638; 918721571; 903284597; 635007684; 32376320; 158582284; 935431231; 740494774; 709921183; 125282021; 734469339; 502305550; 358619632; 588367885; 378999869; 229784330; 482908288; 200015583; 917495282; 927948162; 608034697; 808431135; 527077222; 162543765; 389950857; 245601267; 249715419; 693027971; 190580856; 529089171; 955684526; 30761537; 938337593; 788577458; 549209636; 827045404; 122308318; 620861323; 971676255; 416840020; 294457424; 524558544; 556815065; 630892050; 967268905; 646360522; 429093749; 273629798; 491769510; 776972562; 7734440; 487016701; 464277815; 610398444; 170422712; 229016657; 714740048; 969069237; 80291050; 417641256; 952187770; 749983779; 648689790; 971140131; 951554088; 110361135; 366812247; 670286064; 351934350; 610789935; 892359063; 659538584; 809272917; 656853450; 834218956; 318381406; 421005852; 413973609; 964864024; 916374071; 48815337; 956932078; 298839761; 35653598; 993186141; 487819763; 266278852; 792289374; 65889596; 534911118; 683820678; 310945474; 369513047; 816802574; 930482893; 282430064; 218572025; 673462611; 247612459; 684708154; 572468102; 78534906; 779316880; 507584866; 241685928; 164169297; 925984571; 174048503; 725036003; 63721295; 23128493; 632477591; 323650721; 695154822; 194815714; 933300586; 98743115; 596527852; 794127852; 174663265; 26675663; 577862324; 434246016; 475233835; 849652896; 337638356; 755871629; 378866778; 279433078; 458464603; 235726524; 689767644; 663552183; 479240095; 743699136; 1551776; 279898168; 501372710; 374933359; 826435099; 8175993; 890212870; 68744776; 973300857; 677629842; 88200270; 933487038; 762800394; 782106240; 151044457; 533720302; 799661973; 397849546; 88133299; 856166069; 590641145; 938138799; 552221599; 856165278; 106746042; 435431789; 887586851; 274130423; 301977160; 282110657; 422720366; 63100393; 836615808; 52153984; 683905059; 144404794; 331665548; 915011335; 105012790; 447454686; 357783838; 875737347; 853022616; 609779392; 954358568; 828758691; 919695041; 821980278; 719841089; 513058110; 500117508; 691134165; 111958252; 260657777; 47521105; 576190368; 11416701; 498700255; 525863304; 187271885; 695854420; 780001328; 474696969; 660336750; 976279; 936448695; 336923507; 995705773; 740731110; 91954536; 46524664; 547873000; 731668621; 574726627; 53508645; 580644244; 504400694; 355885033; 212200417; 292060053; 721009357; 604932419; 828091150; 442201412; 957751886; 456865160; 474264098; 942382573; 724048394; 567218207; 596139930; 967007667; 6976490; 481022909; 992658387; 744364349; 782509587; 154080186; 491415374; 211057430; 988623305; 150094915; 858625639; 553935388; 173781337; 758264515; 797758048; 847819239; 139204073; 84946734; 798288654; 183143418; 292591740; 634366539; 905776888; 567587532; 28774873; 861809891; 247948385; 209496849; 735476781; 919054970; 917666215; 384789988; 9405156; 310680777; 720327586; 472862776; 767167017; 747931361; 549003538; 631150854; 973701016; 180281488; 616568088; 90667890; 679572702; 559637559; 583057280; 398005624; 551840589; 356926652; 789186824; 405464848; 15855738; 516904191; 931856246; 138626346; 947532730; 160004293; 586485329; 337827731; 249529441; 274382660; 940941230; 374608875; 796114469; 109815469; 255424270; 209459078; 721260654; 804775505; 743419612; 940965880; 813683566; 785512948; 477500721; 443873003; 997970841; 547656156; 501144940; 44044120; 279860481; 354881895; 67974289; 469155118; 646752721; 112881596; 336464623; 914370859; 541329107; 452319818; 981186137; 76415342; 866394731; 647347225; 657613976; 770247281; 922442524; 523943271; 154817027; 829453276; 341631851; 608260265; 261958915; 884099235; 694750566; 399062646; 55218908; 474919318; 368407786; 612370865; 196261766; 562103499; 394263241; 136041586; 50700713; 104487259; 15643690; 243739335; 333577808; 864834510; 760649220; 782472408; 559317505; 578147399; 232975951; 949630153; 946609233; 239169302; 805474850; 756450437; 870746657; 53599790; 883074342; 978572656; 949544208; 810415210; 232493696; 287063042; 243810909; 560083151; 692496045; 774535598; 886547501; 594208752; 19574102; 387866859; 998638168; 444421985; 56718857; 201937506; 411609663; 431426699; 701971109; 588504082; 521227883; 288287516; 701295201; 739013258; 128260857; 157937036; 2010706; 204934616; 439544293; 897335874; 925992026; 614992827; 704147094; 31292326; 492336414; 496741569; 474654476; 673289472; 780264004; 554125649; 608139985; 910533551; 462689313; 427302618; 991952813; 597279719; 802119662; 680409240; 661521314; 355510685; 479405186; 169634660; 377796466; 681215581; 868204754; 701301770; 253489987; 103958717; 701991666; 470932786; 718332831; 533644680; 889126107; 118427686; 437674136; 560875488; 870552891; 681471823; 312454442; 983972702; 335926877; 709383622; 696312396; 830298633; 915267542; 865016947; 151504467; 767067373; 135607095; 854146658; 812297810; 234009625; 641652256; 33493370; 964453271; 680177852; 328632033; 597693601; 825374583; 129698432; 250016781; 173471724; 821215868; 220923948; 341339895; 614249027; 163370239; 865736103; 908205791; 689752686; 416535782; 283833081; 311280613; 816065217; 796022191; 8261439; 893252687; 156737660; 117972525; 616978539; 384275684; 610460554; 187400435; 987124637; 55644850; 699910867; 17798292; 799048448; 785729311; 195410061; 916944281; 394164138; 61242258; 136943995; 344282091; 528517552; 936372020; 907043818; 526152330; 889409042; 462583088; 196058575; 730454168; 627453206; 451806947; 217546901; 726916522; 706468262; 977833796; 403505682; 393180594; 409376252; 96619979; 646818252; 759042070; 440010399; 26308652; 411545709; 92522462; 63062851; 588991652; 605243743; 168193572; 457306881; 784347270; 467008195; 312875941; 464375563; 512129654; 811206820; 832124657; 801343610; 749240671; 833980918; 949514338; 888364692; 659916832; 319931532; 446011569; 128937992; 876449682; 537823053; 863707177; 778742945; 18306368; 350585057; 845788762; 306685906; 438218788; 462850061; 536750675; 665252813; 99691739; 776023518; 182801723; 342832160; 574007435; 671000306; 462024901; 795626555; 302240773; 769196176; 896328332; 94706012; 898460771; 181064708; 687646575; 152662523; 696499801; 40703024; 607033206; 164843429; 725958153; 774477278; 92262644; 781547125; 823444984; 743007169; 213759787; 280052686; 720085456; 209839653; 873121446; 422160085; 829344107; 838121484; 354665639; 107493385; 964756622; 535166902; 303477351; 211742814; 772749777; 698034051; 157071044; 804407641; 427675637; 785942803; 949415464; 154127114; 30098708; 749287282; 188353078; 898485691; 144634957; 692241844; 718007256; 516150208; 912727040; 571568107; 579986861; 246304731; 840055097; 650322180; 869430374; 455700030; 386299014; 899100048; 702791154; 859972151; 921975412; 766146299; 123679859; 234935742; 875254790; 77814264; 398949811; 907223173; 793925867; 756964770; 814758421; 938357067; 896338412; 178348049; 873969024; 994140536; 820357558; 240252064; 488306796; 590861819; 892445763; 178678957; 98483017; 925591378; 112531289; 51571533; 695073544; 891838944; 966463330; 787354041; 728225907; 43071244; 858465760; 130244035; 980887407; 379789115; 338919195; 195982898; 905236641; 689670931; 64769482; 232547789; 464460119; 987700239; 631841976; 84386232; 538496526; 389551239; 470484674; 460146738; 109407787; 151104974; 823283777; 764441227; 90920845; 46221725; 237076013; 351973006; 7903460; 987811492; 502815862; 663466929; 437757438; 930587838; 453307935; 558648753; 454087112; 352255142; 951963038; 975148548; 319965736; 442562334; 493703645; 831867658; 378346829; 504580909; 213407439; 767892112; 917536618; 626391451; 457874303; 807026671; 929000092; 983713274; 326151518; 143070111; 538243030; 533371242; 795133057; 558409093; 830612607; 369442831; 755017518; 833507695; 975248272; 250299487; 791211489; 140254936; 287005262; 848219658; 91274008; 626150658; 874929966; 962532441; 956002451; 406009986; 423813439; 81743332; 228094661; 423469579; 345001700; 70560160; 368426159; 768975562; 236393880; 348357000; 224701291; 545543681; 692955476; 460709; 742113784; 895559538; 164905151; 788033458; 302851936; 374069328; 481155426; 330495016; 41780555; 404184867; 972005894; 520087309; 997660400; 935571478; 604174982; 722295443; 483990398; 647866467; 950706706; 547307078; 567834046; 578884376; 499352220; 897515918; 973294927; 750905718; 113014535; 421666852; 73428360; 147020467; 427371985; 479871569; 209565897; 584103778; 737151119; 682485184; 353372796; 524977646; 377432209; 628509911; 274204113; 516880141; 896802397; 745978046; 613939662; 131948140; 151118714; 91677207; 308222504; 182951039; 243551083; 309993029; 175943503; 800754446; 671924585; 614107503; 975067455; 112524705; 665209749; 764174716; 720894773; 828701220; 262932296; 592111389; 716105955; 222843637; 774751547; 831119407; 657403416; 629690869; 279743355; 434102277; 198077782; 247588480; 504341100; 880650505; 943225266; 689938807; 821271575; 250564788; 845814816; 491971751; 72512596; 286749860; 415806025; 514721878; 114336826; 487835836; 469078553; 485444551; 369065415; 993424357; 435842106; 236429485; 695964642; 94793882; 46686284; 413864990; 230848657; 494851051; 493078759; 556685490; 968983290; 699597989; 586650677; 420506989; 183664468; 92383573; 143402097; 174364449; 63809687; 710431114; 608307860; 665338706; 552031992; 428357134; 700532311; 925087343; 432607249; 308410791; 873803508; 110742232; 211584121; 638091092; 149861068; 821773925; 360978187; 962903730; 210638870; 694405369; 129939290; 573431044; 967924742; 995542745; 6365403; 696370699; 767041697; 841764373; 428526787; 495694144; 21515924; 830153345; 700372964; 747994226; 632241784; 638927930; 450864013; 522836496; 300412698; 850360354; 471572092; 11259953; 21908912; 1313369; 237207033; 699301647; 823399357; 717143708; 889946592; 572492446; 198217297; 244845101; 256429795; 94095038; 704341354; 165614294; 141063919; 546618388; 831246815; 170172517; 116820845; 947685984; 374661840; 209882153; 974718059; 911350875; 725704363; 432492916; 139114436; 335170019; 302505017; 829090549; 227548976; 247429891; 107271139; 880901941; 228810456; 418389409; 797348677; 797109494; 165607959; 557019439; 25536870; 33392691; 227340845; 286120848; 301484778; 325885666; 698958846; 451238547; 273868253; 955387944; 429334559; 209893223; 182490461; 906866272; 987718328; 8231629; 881799857; 59884538; 661231067; 997338626; 730195496; 377155730; 849223164; 221132793; 795191699; 267049092; 419669233; 704585374; 468550177; 670580605; 716132547; 193661728; 317210060; 218821517; 110844683; 265758222; 118913563; 933255475; 744647765; 911877215; 749917316; 941146550; 660297618; 721068745; 620503634; 415609664; 289644162; 678055198; 880252821; 44055116; 459515403; 233039203; 482160961; 200314359; 196507663; 187878148; 226564697; 492252364; 633458514; 940530100; 136881998; 590143999; 263908731; 383292279; 199931650; 643888338; 438678960; 452620567; 73270510; 386136594; 172261329; 713051932; 437151896; 44322318; 266597318; 998283624; 61955781; 826463668; 692682752; 522518368; 605472634; 972690868; 854495675; 447488749; 450910193; 469125622; 635138902; 684423148; 770628567; 900009795; 122529139; 59467301; 189454664; 12882652; 965152198; 163420181; 165792122; 18901476; 544263265; 396973680; 602578240; 679333377; 388733766; 794429378; 27006630; 262015145; 895629665; 853513915; 379928899; 546069586; 303639690; 717186156; 276679197; 248374856; 8462663; 369949531; 917818545; 648940028; 636536462; 625472149; 124982214; 128795178; 466634814; 702594051; 50608768; 383901531; 902192348; 230111025; 528089232; 506480715; 641852101; 664436527; 119938701; 576750808; 262235328; 975872791; 482345373; 274556454; 371234759; 245580968; 498990393; 738390637; 780324895; 36792311; 275363734; 3811362; 204115683; 325378682; 311846876; 866180406; 483750228; 907662883; 493513010; 210458129; 494190226; 312031004; 496645993; 736065398; 810833745; 812267613; 431780287; 565931855; 393035662; 908744240; 528948335; 91973186; 236173487; 191686020; 349138829; 47211774; 183895004; 679483208; 692386655; 37535971; 988761504; 576256392; 226226067; 311822155; 78533580; 588986170; 507197361; 843548772; 374860197; 371925087; 833219135; 744512181; 237534049; 142199972; 630243599; 642491605; 675899711; 821922142; 537635081; 630104993; 275893426; 779363556; 922188385; 659097791; 66771311; 736766481; 508974570; 466304410; 698148847; 650538937; 880730329; 572267887; 520693728; 932745177; 988843851; 620218350; 90802953; 994806785; 323008981; 516300071; 583229270; 712291531; 878784571; 813387634; 674852724; 224928063; 100714997; 999923608; 219809889; 714013024; 823941040; 63523896; 53113439; 5014811; 745233489; 571381398; 22941446; 812036071; 478401094; 571337350; 726815561; 864040882; 218295386; 106895782; 930338817; 795586948; 345223859; 459304198; 708585723; 260168432; 183143942; 216511232; 591610642; 715107604; 774170046; 130447626; 956619532; 512126588; 174514311; 964547351; 784128931; 501349861; 876213271; 449714378; 219644239; 216659144; 922012653; 53276300; 137132020; 981013755; 742872920; 941451064; 218422675; 867348142; 744946817; 361025736; 363776180; 271276164; 440085626; 792318510; 628021658; 569891713; 360404481; 190007327; 619416960; 588061164; 931521868; 308554222; 152966718; 612016748; 486621939; 788976107; 669829673; 969432859; 635461457; 670090410; 147578540; 230993204; 995748921; 718376399; 620667654; 924448321; 39605413; 153278446; 53567549; 854336123; 272218857; 516474611; 219394229; 395132938; 141717138; 561916258; 600896755; 172340670; 117738784; 90790698; 683144595; 492379513; 308894896; 355066351; 943294839; 907308398; 78742926; 492361462; 88591593; 446868611; 393094008; 878331835; 89094382; 9447908; 624311765; 504804114; 928323940; 940144033; 592136682; 732502437; 633544079; 138221072; 692009296; 428868800; 892105329; 330984666; 511201186; 543217166; 865164625; 246758637; 33703174; 812458928; 209655781; 375728763; 496544109; 325504987; 553555796; 798781383; 316313223; 839041212; 20646568; 702970859; 605498798; 184885416; 50628202; 135693160; 517523570; 432863173; 749884529; 887804110; 604583571; 374772341; 278603687; 210501610; 725444989; 942633080; 261633069; 548539077; 425764466; 135621009; 133245119; 531612480; 880936364; 112625887; 602116730; 288392508; 816841335; 272052165; 115693144; 826392907; 471386275; 294666288; 421824407; 816592849; 330958731; 787762396; 959274247; 527559904; 642793867; 950778422; 446392171; 506292001; 703738918; 553055641; 183442711; 265839343; 30278171; 293790729; 845316708; 561245965; 768138623; 451408575; 874635574; 264969638; 67097457; 377827442; 198795189; 239304805; 544453698; 962645034; 183271016; 861836397; 845256116; 967949828; 435015295; 12516562; 955266694; 987264080; 678582307; 690383812; 777539453; 636239746; 497764238; 87263282; 753028963; 814942575; 220585102; 455860359; 114201980; 25830580; 843746705; 225858179; 878176470; 80679080; 453216424; 509682769; 166610764; 539757893; 827963066; 682258094; 578750162; 193893998; 780082397; 880798840; 743143682; 125825848; 447834695; 721968840; 770530464; 81867226; 865553081; 504978664; 166215602; 585563758; 864551832; 912562499; 281293140; 879277896; 574585651; 826889156; 703380298; 217371669; 991866910; 356115874; 487503192; 107481002; 782704156; 126868909; 835932298; 510149640; 679804107; 503174169; 562786774; 376309229; 283517876; 349748943; 632350465; 278763012; 503121771; 833143794; 917908247; 815015931; 29645062; 587284319; 501463681; 350630191; 302993741; 449326699; 739466872; 67612954; 633601661; 64126066; 579062039; 122043560; 859615155; 923239637; 317730916; 583110547; 959056967; 6696303; 599991249; 991274886; 928607870; 518187618; 47029686; 839937829; 567988102; 434793665; 114310245; 655340521; 279985382; 393709510; 258003678; 901678811; 784295642; 116379281; 420438555; 855689819; 431526050; 673352530; 154923141; 522570812; 553848666; 324889945; 601225170; 659240559; 567268825; 214095048; 549477675; 327819778; 313797624; 649700313; 73153647; 943877686; 14493823; 396668670; 905884513; 728970362; 297784971; 347817718; 682022348; 658190909; 121517784; 987540280; 870656749; 778824091; 175427814; 656208873; 351700906; 595506275; 2070877; 975771533; 479710506; 800807274; 753782249; 21788844; 606228205; 437471154; 567606100; 235158929; 383281708; 128254023; 698346411; 169631940; 715887120; 715968222; 605442399; 572491598; 270574340; 381776241; 612745608; 696897128; 934306932; 267597392; 501321029; 223849150; 329628142; 988806196; 206314977; 233419262; 971670410; 52817118; 185308448; 810213576; 297763240; 109952652; 83357389; 257541243; 894846897; 593154657; 884112040; 188485032; 606951943; 546798849; 121258489; 136290603; 371328349; 640235814; 749957201; 594046220; 952049918; 330697540; 591061718; 525448770; 68567384; 461838924; 381122289; 294643352; 119837678; 98396029; 919060553; 579703749; 324970243; 773421187; 40636308; 997546032; 501545286; 438382465; 125671313; 857160042; 353834660; 830847496; 213300937; 524174516; 750146834; 744572991; 36140723; 642204288; 67205357; 4125776; 138664175; 719119101; 642378178; 596941128; 766414189; 923685316; 766969622; 125808920; 291596353; 146860281; 390582054; 68191183; 484242778; 829476193; 41854978; 972033400; 804949735; 365177000; 297569815; 781257897; 224751800; 386180050; 345236367; 265527853; 783669290; 165591178; 484212279; 246442186; 277007688; 418003245; 896116278; 607555793; 349056354; 57211918; 231221673; 780400901; 301000424; 907281274; 949906950; 681608158; 423821654; 196233158; 35034157; 441236357; 79978577; 531892525; 127340347; 788006756; 405983511; 889140125; 27998503; 174396083; 511080838; 621036142; 386745451; 321230005; 977638100; 716884986; 163889456; 554231245; 492963714; 15462887; 953397387; 802209258; 875490446; 926477126; 91995644; 779709869; 278623720; 616232571; 405309125; 738814783; 742461372; 677795955; 210053232; 750299359; 567346360; 228568816; 931153006; 608743838; 660698847; 590403136; 527779481; 181669830; 332314821; 947002221; 679369911; 115938431; 239266666; 716824324; 928569281; 327966229; 210648532; 392614204; 162776733; 68732992; 181911652; 905311306; 537458890; 664967335; 225599264; 398352745; 545168708; 305722042; 194098772; 900124216; 445001036; 74695682; 514759764; 368386982; 452513111; 294950108; 743207134; 297132146; 338385293; 130807140; 76918757; 633425387; 215595432; 908896930; 397116908; 401999305; 817691940; 867598816; 793830524; 957021271; 565827999; 821784343; 717535250; 225974006; 74804170; 619960190; 452434002; 651723190; 759314414; 896736524; 574595921; 817327048; 321207274; 132892702; 277151205; 537289820; 644207272; 967851301; 499389799; 821967757; 716616503; 718521124; 575793595; 214726865; 671503360; 778432511; 812007213; 163973890; 939873467; 196898663; 76736071; 284548758; 831156965; 172128668; 494577710; 320301407; 159913151; 555361711; 212512957; 609113661; 724182533; 679183658; 840564296; 774580740; 715287293; 293744179; 657605031; 609144767; 509457564; 171644507; 309323891; 361986594; 283570262; 398089030; 312473140; 726605024; 28469279; 540014545; 916333016; 957470950; 155449865; 371453949; 529089418; 540718659; 209894404; 39360854; 31579013; 382810232; 190879903; 495649625; 369827352; 453054142; 853375180; 680079175; 981672152; 626927845; 212833373; 235068538; 735830383; 830312582; 348175529; 133879909; 232211277; 812742335; 911869083; 402416055; 425025880; 571880233; 762595206; 626636371; 331457037; 168124247; 574979652; 41773725; 353615278; 312892411; 153848877; 531146816; 748170218; 325099565; 706860202; 747009004; 642622120; 598024192; 95683776; 769425481; 622521973; 345724990; 721828341; 58629196; 143309023; 825890; 814189260; 723616358; 688066823; 252821583; 64952990; 792376698; 817067333; 586752767; 834737401; 149470942; 665230323; 791365887; 776002424; 607584429; 93906111; 662750905; 109430207; 261886718; 9039193; 513290697; 699967273; 924520221; 835269155; 631978442; 395143460; 434715686; 750976825; 396974332; 39709464; 156388669; 578249388; 469942343; 658083349; 910263166; 566386676; 206206358; 159676634; 25592718; 864095148; 285063821; 861757352; 394657437; 89649829; 28042943; 739971799; 902519074; 155086573; 618230983; 386350294; 533733642; 972623861; 291590180; 810282619; 161600806; 409576560; 516336811; 158690942; 959604559; 550742198; 40738153; 256534802; 632537480; 717923002; 130396523; 28192557; 148073718; 23815708; 371812300; 129038488; 901087641; 408813387; 326889011; 955160595; 164424095; 820694036; 622714352; 269346265; 708538366; 878405099; 884028500; 400668534; 536947171; 492864609; 882964842; 569494336; 51917661; 490895192; 933567081; 129409654; 808688960; 257628139; 554561856; 699836438; 937833088; 795625021; 645876260; 952198118; 785205277; 841085773; 941697317; 779604663; 449923628; 249050667; 290473202; 804137599; 606360604; 349350658; 951275670; 821986678; 767346489; 597856053; 357203028; 404258480; 463646039; 824068763; 206220167; 936151083; 711702838; 683588803; 114948152; 37412952; 150014553; 927738425; 24265082; 743987549; 781168046; 370952563; 135840161; 518532960; 539367351; 651104043; 144607248; 415223745; 269852882; 121156510; 633715725; 31733569; 458919711; 939115489; 301958608; 458726423; 578103401; 575383582; 812101284; 249542067; 580016282; 405472181; 416560202; 464042949; 324695477; 359170582; 645381748; 546774536; 54508317; 819216996; 381092952; 828313981; 555049401; 13664274; 665056959; 107048897; 432987862; 348096869; 423702801; 209895908; 390147573; 835374231; 576253872; 831878989; 221056465; 227243442; 622681294; 616517620; 866157429; 419132204; 372090580; 857245003; 37175056; 979804249; 775864733; 974678652; 141931291; 44263895; 524470386; 339557682; 636857343; 862775292; 953785747; 613145648; 451560513; 692576967; 929200004; 929815725; 446547226; 463065057; 536051961; 610833058; 796037446; 968714583; 824472526; 970042950; 533584831; 170160633; 159247147; 9952168; 819424274; 313536657; 448030810; 259845959; 433397987; 794248265; 298835417; 44502151; 586016238; 762695261; 742825517; 982951154; 575077066; 413233128; 702649444; 175111533; 961678828; 997507101; 436770720; 724635805; 153070038; 180825085; 586419419; 288518150; 440420596; 856288880; 835333122; 176751496; 880446660; 989044950; 690506915; 451571462; 506630838; 927286444; 93986907; 122209307; 615415524; 874332393; 556094720; 241590365; 151346725; 670282326; 321339003; 963493963; 960087711; 779260492; 432297231; 860286471; 581490021; 952290364; 458437289; 597119239; 954137764; 622094105; 400049297; 424131738; 324020632; 934206243; 235897184; 314344413; 762909836; 762649578; 384777856; 628857848; 22786366; 266455471; 574921876; 289882686; 401528332; 288666709; 159619667; 575883695; 553620051; 854200072; 186239959; 239911785; 607300643; 596251775; 529937506; 749218487; 945917742; 479793703; 787699842; 690092166; 872072440; 928751013; 800120863; 834960255; 268551996; 576986815; 894847955; 129902756; 701323062; 15389427; 918985272; 892131873; 924968615; 39700989; 11649907; 99772004; 17308991; 993976987; 56711974; 646143713; 113824738; 112245793; 443635670; 226628781; 169934468; 616299148; 15673869; 8309641; 162299276; 462249668; 102428558; 44582622; 637512185; 679555504; 627993596; 245565064; 868832010; 877848211; 427835922; 531500584; 473504829; 87019576; 152648830; 717914935; 416944010; 902690344; 891917529; 277363499; 281216775; 402762427; 180949555; 874179038; 42508409; 594269393; 834382147; 551235065; 523850100; 12947706; 736152309; 568749620; 218587757; 200771704; 758647030; 81468523; 4842717; 961181259; 906039876; 715332108; 274248891; 115487398; 847999641; 903028624; 769829849; 706918448; 444608530; 903657843; 27493671; 14990157; 545692099; 802805013; 88576094; 640766928; 428610503; 803815108; 704974858; 894906642; 59226474; 28288401; 945013281; 767833855; 798214103; 267252624; 636259057; 508092720; 428239835; 742677608; 2439174; 749606635; 741168390; 903897694; 743789688; 712799103; 547787318; 821244384; 400054621; 826001268; 803845792; 815005312; 77719526; 883271084; 219430520; 73845715; 272428970; 228534430; 628277897; 162409891; 418426950; 830039189; 761710766; 191300655; 601038383; 287520684; 748502053; 186902957; 716282190; 600771373; 950210807; 705938598; 66421712; 104682045; 843518846; 348663091; 246613015; 473377429; 440306816; 691851338; 163422658; 135392796; 513339727; 88437287; 283214185; 117249459; 907156062; 451325657; 579647163; 513000091; 907803361; 551471442; 744358487; 591426222; 206499962; 100118887; 790249174; 73640003; 881917340; 388059987; 882675404; 950922759; 414377121; 781261037; 744167379; 179543548; 910757461; 971248617; 717898913; 770850511; 92008503; 676051468; 323395771; 785693339; 590710852; 5269715; 638467150; 222414983; 761259521; 263644731; 38435090; 511761572; 359786646; 922954018; 244924683; 583067706; 283046571; 318633875; 683594615; 666490526; 701580911; 113006477; 798971016; 601110540; 16906631; 925876997; 182600417; 402025416; 748769228; 952500551; 723955009; 721345133; 437098362; 110577320; 288452032; 157120269; 308808178; 529982934; 537116596; 851753399; 808073596; 281853983; 991840640; 674971920; 881953508; 826863160; 546397811; 993533771; 80415042; 537197012; 243843839; 305803329; 352030961; 961785935; 332682600; 522714297; 670726800; 415785964; 414333185; 366481188; 330700239; 552485501; 488988260; 374517983; 178014519; 491500745; 961531466; 469771503; 384094484; 696470383; 1583705; 22183990; 643154122; 788192510; 962850295; 609310538; 685004814; 832517167; 728213123; 63686736; 979223902; 834494380; 181440619; 657899494; 227121691; 113344051; 633328785; 180707565; 883367870; 619055916; 652349918; 287095263; 978242925; 413225775; 250453632; 881310348; 82635622; 538371953; 71119403; 567086062; 80160234; 392028501; 717832063; 900341668; 907540174; 708221231; 687052798; 619676292; 64403326; 364013495; 488213672; 493438603; 44656594; 887622596; 829650988; 874730563; 846056808; 42506429; 123224704; 111028720; 588987917; 799900783; 707350819; 418758247; 812018916; 642951045; 84909618; 865254743; 926896719; 327629618; 765175105; 735941069; 510166249; 626817214; 609508845; 106648879; 763596967; 767909762; 967382870; 214890611; 553410984; 287554472; 145093584; 899949989; 193975568; 202875350; 845684647; 267851993; 826063948; 685599133; 873902606; 631356665; 118030382; 33334080; 502602925; 493210461; 816193125; 579913274; 110984405; 610961636; 761687267; 410416790; 435693342; 629997227; 164809679; 957304169; 370578787; 124686334; 21220731; 876539917; 159511308; 574256011; 300148823; 614528235; 757067953; 942950561; 38648470; 67906110; 675401474; 258953685; 617595723; 550691700; 679155176; 68573179; 881330857; 497216607; 706764695; 875954171; 658466735; 451614616; 300245762; 450860146; 589061005; 244839524; 959407569; 985586018; 296670292; 709965248; 914841911; 542396223; 347632801; 884057525; 514841062; 204946906; 554069851; 830301336; 483666392; 165280700; 330294986; 586303412; 34248106; 972488007; 485734804; 759938017; 590180324; 380045223; 15436325; 384275927; 97195916; 145718696; 300273528; 758403722; 935394897; 234777236; 586936993; 560650825; 523436251; 441771068; 118128251; 325113714; 656265903; 23111360; 483963218; 250105333; 908932371; 429614994; 648812152; 666788826; 806817543; 39216877; 317026644; 13149264; 750683427; 965553329; 992555529; 644920271; 757324615; 713931409; 246271877; 527010715; 337508046; 767089782; 523531950; 180015000; 449043181; 168432003; 721113458; 131756109; 399835172; 202509715; 945410608; 515974067; 483523586; 813867785; 206319613; 643252161; 902938147; 27252470; 946801989; 189182959; 159315701; 622667801; 942901221; 18658460; 643182287; 748601029; 916630433; 515202432; 541822294; 490971823; 530862167; 277304438; 446091273; 727132672; 920918242; 456929764; 893538826; 61265612; 730521667; 333094080; 92060112; 162815476; 569780040; 362610810; 934934642; 150642458; 51447094; 849629843; 72127359; 134579543; 192371021; 764147145; 813401205; 516338716; 211192747; 830456339; 315151643; 183851735; 771589163; 612047116; 371106527; 21749065; 872889024; 315026277; 630211598; 827070751; 70444289; 759115596; 24169723; 887563122; 361695342; 115655086; 369266977; 60705341; 255587088; 637283561; 69087771; 263951836; 759199658; 13507410; 136101367; 16109069; 919947339; 191841266; 588723785; 201889482; 949297695; 717540462; 318021352; 193650596; 183275909; 333173039; 527173649; 842074749; 550002418; 179952870; 626674461; 291613731; 615229788; 14486008; 316631117; 573287626; 454516140; 987976300; 538767871; 337197221; 166804802; 882200475; 127183682; 260065299; 590933118; 413717900; 928297924; 415530617; 171086543; 178099140; 452647438; 659248471; 283268239; 199164336; 381825121; 704599129; 339061850; 441725606; 389514807; 51072246; 194007188; 510465589; 553206777; 633434569; 113247224; 883598158; 572947164; 878877284; 712099936; 339805514; 313994784; 640938479; 173677435; 992569385; 783085622; 623553391; 435835005; 343903441; 96104921; 262662568; 305211414; 30565407; 506835811; 735317518; 453705602; 79290317; 832425189; 201105056; 555458035; 630438554; 624606872; 66965768; 541136598; 843364341; 475268689; 756621547; 919285650; 153174558; 352561669; 345018536; 747020173; 369147457; 973308422; 392634587; 230391055; 567813958; 713041210; 172095041; 352419211; 224854977; 128265078; 248988860; 81236577; 663424496; 831493283; 155868659; 155836124; 318897640; 641430780; 768635540; 408074355; 112189313; 665061357; 527573143; 468080283; 999768743; 406406275; 165188462; 794283235; 99159762; 970306951; 776722693; 480726934; 48794286; 616045663; 258502479; 219407776; 151179595; 50981966; 121648099; 108069070; 166213286; 824441367; 950939170; 157330157; 411008035; 96057948; 44215181; 258584038; 488607597; 139125461; 382854237; 315536005; 217814871; 613279475; 614455582; 764117195; 884808815; 511529663; 982092343; 886771941; 603087237; 932245203; 711298610; 743282816; 81159987; 471342526; 845021454; 521401269; 462513459; 420269535; 805495038; 727924505; 886709727; 991398140; 868847330; 489891233; 957974302; 558047692; 927084616; 441893649; 963296200; 846736618; 943832132; 283400623; 70031515; 168371958; 332149133; 276380531; 339120395; 553060644; 556860226; 690680199; 837696296; 63371623; 671232174; 729706264; 972601447; 529555264; 211827356; 943880909; 700916112; 957436496; 306010335; 621906997; 965381997; 290665655; 597939401; 630452944; 48513625; 970223215; 882285212; 702055516; 643431697; 259615324; 391776781; 886243789; 399395712; 540376530; 609957011; 726833358; 710199777; 628526273; 832983653; 927328561; 935209970; 26031796; 719174013; 146124733; 138676243; 273707899; 887988609; 51127571; 791944843; 62595646; 231164695; 190065327; 519589919; 2329264; 492875963; 475861242; 442535825; 915267607; 328539363; 287032537; 511610638; 300972538; 318465722; 695832435; 491331863; 988467464; 983128228; 981119767; 430715017; 157014598; 254184255; 16050588; 772493819; 939047053; 499897037; 645524809; 873476113; 317288956; 247739974; 663517262; 735321871; 832517881; 763299126; 815803438; 415349498; 177538022; 237300062; 422013515; 775233240; 682424736; 173716402; 597197435; 996996242; 656150124; 109676711; 903450580; 150990268; 279120600; 829615733; 371069691; 285973627; 876537974; 513631017; 758650342; 522771496; 475217274; 45972264; 188644787; 108090278; 129018787; 70958552; 249724789; 702492723; 130329956; 256094481; 280907095; 693666270; 192290369; 906491185; 904396433; 272782617; 136844455; 536637023; 695112980; 667687494; 948176209; 989410435; 717516111; 813686931; 822199803; 748521836; 948034419; 669278472; 364899689; 376517839; 415776764; 495295662; 479158829; 273309370; 640962946; 21863655; 4315998; 823378891; 25738483; 445394456; 293504968; 455272040; 72289534; 466492431; 549030951; 746989625; 280885104; 666399241; 659813619; 795353530; 250282815; 508321826; 197263951; 703060970; 188312302; 263211491; 842310407; 845323764; 978391274; 521880420; 998274346; 458801062; 28089567; 708002692; 350435798; 23689222; 676952507; 697988607; 791410901; 848690607; 669769986; 891043796; 938295354; 850431481; 303438399; 306330846; 756101554; 898101419; 770590456; 158285116; 465533556; 620002371; 211902696; 883921854; 598974678; 379756487; 627330828; 388403353; 340334317; 136248430; 388901678; 300947638; 550246562; 374553154; 831416859; 199444202; 574230784; 387653674; 706329225; 224061290; 629678850; 620078680; 511218713; 963293195; 861282955; 961110425; 797602945; 941417355; 419068777; 680027716; 684417422; 956965902; 222087615; 968663187; 749716899; 791747513; 970683390; 942794353; 905827099; 759463425; 276111828; 584756656; 509049689; 145915352; 982407253; 717076292; 151819852; 297894513; 536945118; 150740403; 386565889; 411666225; 687831472; 728419337; 985870277; 191199784; 783121525; 918757323; 78650926; 53717984; 508431094; 347458503; 867189443; 563455724; 333899351; 372566314; 631487702; 97968749; 968728769; 795406969; 793090894; 886225833; 841357745; 605381537; 855601392; 931479819; 926622; 674510558; 235089443; 741175589; 339016268; 151404678; 161495470; 872276632; 187114651; 352558494; 700810341; 33024602; 563211421; 582125574; 957594447; 104300184; 358035823; 251768866; 144626978; 665180429; 133104565; 832638411; 519133900; 708922851; 947826984; 561372509; 532328495; 283688560; 209506761; 962509609; 337441019; 499054196; 292959752; 934460524; 924699784; 56728859; 28755420; 137065576; 906475255; 655676060; 843612142; 241195091; 134514673; 649990343; 392546882; 499143461; 61506941; 118510070; 919496059; 752386681; 420942050; 664473640; 705032092; 485348254; 224675256; 867129249; 565026036; 236157117; 761768670; 771135932; 435602587; 879499103; 149028609; 179988077; 698980555; 128996723; 966129512; 994052923; 516108103; 603969804; 265793478; 740727276; 817887329; 64830778; 218890536; 763640261; 719701214; 63364671; 989842862; 437510348; 812016498; 900526605; 720055949; 44137216; 242650098; 403504381; 510842706; 108466202; 262046316; 607378571; 322686985; 316748123; 836111015; 923504313; 591444188; 929438884; 48121616; 520656715; 483344743; 2089530; 826484169; 751970465; 138221029; 330637178; 56093289; 28231304; 836150296; 875743625; 892136450; 906490518; 481424975; 941374599; 666591712; 746411878; 10551292; 228478194; 797691051; 981519065; 770785029; 491140198; 165592312; 469386452; 215504391; 264023381; 29203370; 758475899; 303362040; 95255139; 791009718; 431504737; 997655930; 686994828; 177031892; 161533041; 159373091; 726191906; 666516717; 738088845; 866278013; 825174005; 881862209; 220334820; 427965514; 669701052; 938412128; 929012366; 319896180; 944112425; 299344042; 712047258; 424249509; 893603331; 537708128; 427870910; 254414240; 286184932; 448959818; 157874624; 468470635; 753356164; 968852841; 903937074; 447312108; 624193377; 751032626; 679984871; 896224473; 300061289; 757775039; 100172012; 458040048; 480710144; 161538771; 930870146; 262828557; 378760529; 807298619; 497825759; 188472289; 16275444; 754694178; 756419569; 121903924; 367334547; 247659208; 617045571; 486482096; 177664340; 808832353; 727128850; 627103836; 788092127; 993044763; 329120852; 796845941; 286507317; 73840332; 98834952; 609669236; 673012257; 985685110; 484388384; 641215660; 690288891; 237189315; 684637113; 179641411; 100331450; 331318316; 320843516; 549431504; 765840615; 328216515; 499564971; 762141222; 928710768; 274162562; 184053561; 850949297; 286146758; 822021344; 155186342; 975349220; 124468906; 495558640; 603285867; 635006432; 177537791; 102523120; 358080645; 267916067; 75113016; 781091937; 262665368; 818022230; 908145483; 985786459; 83542778; 285862644; 701024; 223387442; 603373332; 500238030; 662028404; 557138008; 368247014; 337332903; 836246026; 59003475; 484004362; 229346100; 381268190; 51166262; 882726196; 804392576; 81989607; 199679486; 80936194; 576200959; 588669522; 824999805; 732307562; 465225378; 208280015; 301350517; 915418767; 576742002; 199068798; 135102407; 931428333; 408738149; 159041809; 354974549; 578508521; 365565098; 897419592; 163441799; 674500763; 695188151; 509721208; 99410021; 880739969; 228648227; 869163128; 453346186; 989668561; 213979623; 774123644; 436057723; 436108306; 527986371; 266144440; 636256570; 130457020; 721428720; 75903805; 652419605; 501290030; 751629322; 98819160; 598343021; 838434152; 999173783; 247184217; 396227206; 780047759; 585708205; 150955365; 105092109; 103168614; 321020788; 471654648; 364846270; 231509586; 285675553; 18419438; 856628920; 246742890; 99529525; 810157420; 999860879; 9003164; 684289090; 865189625; 725043678; 198327214; 970995574; 155069860; 625558459; 491815008; 327773628; 440960533; 129493015; 439433491; 20498003; 842694683; 114767266; 855890429; 979832780; 245681065; 694259752; 868089873; 987946936; 265241888; 198114079; 503045708; 250554613; 314555943; 270952605; 244541626; 864587328; 950559007; 398020073; 910152574; 405950526; 231212022; 111572241; 440528770; 548985243; 411554141; 568540191; 85116445; 530486059; 428468178; 564357179; 309766846; 900387031; 156958503; 913626442; 88361044; 54756339; 670816493; 164660984; 595298990; 587433528; 897040980; 856493758; 514933611; 198456565; 661539701; 574726041; 726500560; 736654544; 649236251; 608058376; 742722383; 259856865; 703994172; 669784166; 459971722; 199893038; 538456393; 570956859; 416595518; 424529724; 792597242; 334575418; 952509459; 516981291; 424345184; 565904611; 912970447; 573596954; 841888718; 941454670; 382720959; 501224895; 68733364; 50556876; 644825354; 19485895; 959189903; 750781636; 770000594; 768664257; 862773553; 367375060; 50842267; 432821625; 289237387; 138965772; 228563814; 816253013; 169100888; 855986225; 788437864; 450253806; 267258656; 475441407; 228018622; 634398114; 627552688; 690082812; 187352278; 10428869; 937808725; 993608995; 294150630; 587359373; 238941491; 654894540; 846537603; 187868275; 433071999; 836854912; 694152355; 680278275; 799129550; 846343787; 445084253; 268814499; 810736789; 446802086; 727037107; 182973428; 742163433; 469817622; 850965026; 22978511; 484892425; 820448838; 948234123; 614284664; 220333402; 426488316; 32255569; 912453093; 968377957; 139360531; 531771441; 460008478; 409026578; 831614422; 788241275; 124362459; 287602880; 972828472; 416264584; 323694571; 180656937; 165286214; 440232326; 480672268; 695329869; 661447941; 736187875; 821461431; 765136968; 443949095; 534726887; 231510919; 93266545; 442752160; 850311855; 497394559; 912823985; 180979417; 15845495; 373699942; 631517619; 187379277; 86133974; 563189363; 797652649; 959932543; 959273354; 660452751; 869170653; 484132630; 894192129; 861089638; 938337960; 89943687; 626180797; 890394776; 742297469; 728416712; 457779972; 269930117; 511977927; 832226980; 402962045; 499506786; 688079183; 747033015; 31113961; 828276312; 380772609; 435091649; 976900994; 316455998; 400829672; 176503567; 413496175; 664270360; 239517064; 773558585; 67179314; 9869024; 16713172; 231025067; 320689586; 456045667; 888905079; 191769735; 29040822; 175037663; 298369271; 12025163; 808967491; 854256722; 453625573; 437969500; 594303869; 253235713; 102429935; 287016229; 302270909; 862490438; 404327846; 695221840; 128032703; 932948327; 162966570; 909401610; 136399068; 879791767; 361638783; 888084598; 676078831; 386286752; 659035773; 86223095; 963465492; 868098079; 667737647; 517048047; 945534088; 746977782; 837473; 151537704; 404377935; 576829694; 838950094; 313085024; 237641187; 569600573; 194868935; 730029284; 675871702; 803021464; 321559674; 355731636; 129964682; 851854721; 724867987; 380277089; 532146146; 108010557; 37926617; 298224348; 470048607; 513592544; 226036964; 598145770; 610173814; 79225172; 545402821; 799647254; 337321499; 585174163; 193214014; 709480227; 468803214; 18031388; 31835365; 242062720; 436755629; 423652860; 54253089; 76391265; 903278212; 174275524; 110151425; 447502947; 646678253; 16308611; 959337089; 492513499; 20143745; 417214155; 81436072; 144453044; 133204352; 199781039; 224690483; 168839985; 880879623; 707682267; 619752583; 901660299; 369163868; 407636464; 620502727; 468575884; 384306311; 154936545; 901675078; 226855618; 587663258; 326562486; 663122779; 303430538; 678308644; 604330620; 417758099; 218973353; 501004101; 305700825; 135876569; 617265509; 631279522; 359049206; 659060025; 522302539; 732000855; 62405425; 484662731; 248296700; 803109834; 830613774; 299679415; 774025842; 837242042; 977629317; 839813645; 885345413; 901567618; 26799632; 840991168; 361283105; 305102854; 226062154; 355930433; 17271219; 900197701; 873699162; 489034046; 250025796; 4312099; 726140012; 363233706; 387455329; 689025253; 263148444; 535144802; 119610252; 127379851; 990099235; 471643585; 853200745; 526658780; 167043913; 720819850; 304184545; 518523337; 906874615; 763704358; 529743753; 226138570; 699197659; 703863611; 701260127; 560476520; 65389337; 146496090; 840594075; 186692512; 843505391; 851708424; 254974512; 485873974; 502395073; 43725734; 9036192; 279010257; 907888034; 118316255; 510685196; 503099155; 700159823; 376166506; 300849396; 335102044; 864239161; 328161172; 793683069; 477799463; 185230744; 53314503; 441868898; 533607399; 151952642; 783378065; 453407293; 210015609; 884050996; 607178653; 267401067; 132749357; 499015594; 535022229; 353718776; 515812298; 785263492; 332709882; 476446758; 815191659; 830413907; 121501204; 132201022; 26944477; 312434619; 286525963; 335077284; 684856201; 223330445; 705348676; 597132704; 686720626; 562918725; 716290965; 847882767; 894573524; 101598321; 20238498; 724486010; 463401940; 528611339; 220825462; 761256413; 636749463; 208309411; 368254788; 205600943; 45316275; 273877363; 721808961; 525993439; 77075712; 867169830; 20860213; 454976847; 1903821; 898270647; 246323903; 975674800; 560731028; 459947987; 523189674; 349132931; 921902521; 753566337; 673948702; 220713394; 89588354; 140298623; 684396723; 80923063; 1453032; 394719234; 830882906; 885921549; 685212579; 867170147; 485929648; 858571656; 707049703; 592448364; 519977949; 590550300; 535943906; 231749369; 856431322; 337875389; 701135843; 678431068; 184869685; 177232215; 268745259; 229764405; 71269897; 576226971; 400375015; 549689997; 671790751; 909125653; 273618459; 934998046; 758012770; 881048188; 677987464; 813079447; 885735743; 736504113; 626535983; 758198046; 149895848; 102388730; 125051002; 141261553; 649939793; 304907335; 286189903; 147661095; 785702603; 951040105; 379439540; 671201810; 78709379; 522202553; 750333909; 548443527; 202203763; 299557501; 546312407; 23961861; 5004597; 579122407; 622761914; 257657742; 112456594; 7500674; 979479909; 159749077; 153791664; 485111253; 16531775; 179692159; 803769235; 972268225; 600670120; 592839520; 550482391; 882007388; 605758975; 430459133; 198716690; 998945587; 156410320; 544780833; 359507465; 599447768; 268013733; 461939352; 166243000; 954052748; 656397885; 990413059; 964358259; 532827604; 230511191; 653612559; 732000574; 157537915; 586848813; 359314928; 904207471; 962710492; 440923520; 206433869; 577388550; 103528063; 338209138; 640425522; 463677457; 693217376; 74143342; 347600686; 356382246; 728010707; 448091395; 873610017; 945677029; 638687003; 430155381; 567467061; 23880215; 169614149; 469139335; 887289949; 343474252; 829772355; 180382863; 840136255; 484168544; 705737079; 194625957; 73155670; 502272846; 927810334; 38404448; 48563440; 891923934; 637978659; 807859122; 905093622; 263014049; 379848894; 204646160; 685599987; 389002139; 107248888; 559157918; 573476643; 205014829; 428441930; 253113997; 119808717; 263556555; 459537218; 63363506; 90944162; 84434294; 739281960; 329881675; 307245170; 350148491; 879766951; 499443283; 150840312; 363841547; 845098647; 474737136; 200397283; 88122441; 642846926; 616992862; 408469076; 859159038; 89498507; 310620228; 496742330; 692347486; 794411084; 407946444; 737202105; 310473734; 30317030; 666656284; 466411491; 590402934; 456112027; 314143392; 336417661; 505795890; 650208252; 172376531; 110367317; 767819875; 591628663; 792995708; 436655172; 625051441; 881978423; 534908026; 108274296; 407219129; 745173053; 994340351; 548602473; 778667905; 33188327; 709504856; 777228369; 181340480; 224643881; 549564667; 485672441; 735576857; 242494420; 982117666; 556299319; 959267996; 551331982; 999944155; 395265331; 311627937; 830706334; 100112801; 845629908; 444861243; 803900805; 199928389; 859896831; 536780041; 277323573; 897782549; 276121491; 829541258; 251447675; 214775906; 476093284; 955954872; 284837462; 337008866; 361605712; 113867125; 44057119; 725956334; 773009940; 798186048; 480217945; 909282605; 670045; 549240463; 660968983; 180432874; 605974113; 713303037; 176976674; 294796202; 647546581; 291192229; 448010115; 858603909; 352945279; 210570629; 888290397; 427623640; 826922425; 166656505; 109438459; 66900743; 971509983; 26774190; 652806420; 203164896; 837089892; 408299435; 969852549; 537963053; 801744638; 748354893; 838862142; 214559464; 386842070; 154926455; 347787676; 375544511; 318515719; 618152000; 522170008; 193273324; 617733365; 188400877; 34105661; 69599238; 515192212; 105034453; 220236755; 324607453; 514255559; 22052678; 834493414; 714840805; 984979445; 433887812; 532657777; 646898879; 86766815; 19047898; 666361044; 492028378; 758597927; 893839207; 476009005; 91969779; 88830607; 580670162; 609182792; 158286035; 24264918; 557803951; 448990752; 973520659; 914756944; 325414626; 91094144; 449585780; 949259561; 611789724; 342025726; 848632061; 588235189; 365882819; 613894553; 1281261; 801373027; 875675309; 44370651; 553467085; 829617096; 881733940; 838023124; 265554292; 891617519; 498641153; 293074204; 358723895; 402200470; 31396712; 668971949; 627536541; 393922994; 557702951; 733725502; 867516213; 85337382; 807804486; 463084854; 44626272; 165227710; 257936543; 981087142; 354874796; 312244442; 708727970; 989397110; 792276454; 964669724; 598180747; 762992194; 100072987; 806915380; 199269425; 363595979; 930271222; 225531747; 524654862; 255558606; 270052714; 992463756; 717325763; 430454396; 297935387; 822946901; 112356658; 540285064; 800698307; 358540645; 232034502; 7033907; 561330536; 229619034; 488872959; 587958656; 115591270; 292442473; 922433881; 157768331; 713589863; 290112246; 117474769; 149119603; 7861024; 801357877; 698612652; 777638001; 561205473; 532038320; 483420333; 221290463; 202781664; 455142854; 863376138; 208834130; 512061624; 183867390; 191623029; 559770826; 370969056; 898006682; 350224358; 990579715; 307835467; 150950116; 787010974; 644614988; 260694330; 893970273; 217061935; 230878776; 910870666; 724998560; 534835015; 233087738; 543435955; 293280934; 183371410; 277003421; 271210343; 993180209; 945429560; 220872478; 833883846; 140094327; 23676880; 845400118; 685073777; 440497830; 611891886; 316986182; 360774180; 466076404; 639933186; 87583273; 992575297; 733955601; 987472821; 726999833; 88440813; 624583606; 519967768; 608828661; 321302962; 617052176; 91060516; 381298224; 346882404; 193685481; 615335843; 631367632; 632252430; 490381647; 421909616; 251088428; 303716001; 146308667; 123046144; 918289326; 432283751; 972428077; 957735628; 84605215; 462312972; 994093076; 338665499; 489721290; 70929116; 122157328; 550290556; 621704155; 680130454; 442189787; 834719043; 61669027; 527461040; 380186862; 85126660; 431473712; 806389334; 654991472; 368637674; 811588729; 610868190; 314676305; 46264034; 52596837; 535179635; 774973744; 83391244; 667299711; 884944430; 449712006; 209436312; 411131074; 270158540; 395117081; 392236619; 934175523; 511611281; 365470357; 302510838; 969912075; 841609071; 669756184; 172695415; 309502917; 249129780; 364903617; 332886564; 579000693; 379221284; 476262065; 115550512; 759227759; 537285548; 661009855; 922440438; 207269265; 142432579; 511077487; 935356312; 827526423; 802839691; 191039706; 502104837; 643690747; 395532681; 702147665; 665558630; 176709380; 615120997; 893250945; 537739023; 282121934; 27311522; 234481652; 13996766; 312741007; 111139485; 273412619; 709439992; 916271619; 277572625; 683116526; 984705575; 310369074; 895022045; 148701404; 694291032; 763458295; 577060359; 31891723; 808868275; 557931746; 408253637; 237405341; 425963367; 590040333; 610691588; 724313629; 784980933; 944527864; 136491283; 938509231; 686964970; 293570377; 320325406; 235439922; 940012797; 896214780; 849735508; 50423311; 889658482; 69390565; 415279507; 968580723; 753337398; 26128275; 984691913; 501487112; 865741470; 116205352; 216651516; 140740012; 298674646; 182363508; 312941827; 452282443; 345698324; 416646118; 483006047; 796923801; 505012598; 179873062; 677449130; 792637348; 986787183; 740001469; 909793378; 397693810; 225920798; 220264509; 202299712; 683766710; 447419594; 189672775; 453824081; 147425955; 77063024; 215736978; 502051474; 484485139; 576931963; 895970502; 942280680; 829825908; 383711535; 408703838; 660150305; 462695579; 45200997; 359737778; 38540232; 130077364; 676857101; 859839436; 545381883; 276083817; 105144784; 405797433; 688390704; 305353004; 985127471; 961271118; 125246624; 847964315; 344875157; 320106122; 59750873; 813073999; 953158387; 219553617; 320211910; 286318344; 948991458; 560945247; 123411595; 124274859; 865198152; 512231113; 295617190; 530833397; 394692216; 732476149; 728815502; 745377567; 602714203; 383049507; 894380441; 707917555; 893808478; 762584507; 623780786; 198072889; 458915623; 207409270; 691754956; 229591764; 279777530; 883825432; 881007942; 522586896; 400477475; 916258767; 694072890; 81593916; 443170279; 976699281; 55331692; 660174038; 895247532; 248935868; 772787854; 704222423; 352502936; 85485771; 28112699; 747792697; 425614366; 959374918; 108659902; 65813598; 313581616; 771854207; 336325254; 595262148; 514228025; 954907663; 422225389; 517381386; 431312662; 988833062; 53614438; 845181968; 848399261; 284235910; 562733438; 329475380; 781316199; 388386342; 490426741; 32708447; 699049621; 963178005; 288949809; 423363067; 884356374; 633707471; 317402609; 914541866; 640612042; 102860544; 996725734; 239833476; 363656463; 434368038; 969253977; 821220949; 531708983; 998360963; 737683386; 307597737; 100455677; 441631454; 587094613; 876598901; 656687337; 15940317; 181186907; 491894204; 361100592; 359282209; 631504136; 793956423; 217168982; 758434020; 105371195; 543792682; 2810505; 521396816; 566659946; 19328085; 209136362; 132346353; 568570158; 935158206; 472367907; 143861031; 621544264; 15261229; 225023387; 387283010; 415068800; 797501515; 735662909; 585280889; 865302962; 956722796; 863912592; 812999216; 953177692; 522526016; 933457706; 369878246; 717268034; 749548810; 45611623; 150620439; 322784368; 755071818; 911079220; 263816085; 21399865; 830679692; 745088646; 286888683; 983957615; 474470891; 709452260; 235636723; 113560232; 749144008; 6023180; 68629004; 450849210; 768721012; 307514486; 49911961; 180369613; 403158969; 450425374; 605363548; 110373404; 418051062; 999135530; 280197064; 648601115; 422029787; 277127732; 9364126; 801653961; 67448061; 161069103; 442044400; 99485671; 337186944; 156590096; 900725647; 985365749; 569995196; 410335300; 745740429; 700775565; 836971796; 106976914; 564913327; 788150924; 32869402; 808608604; 849768704; 667326539; 349899881; 95523753; 911364722; 493694357; 876496354; 952639833; 270241355; 643479809; 845045917; 542029743; 946569514; 329975835; 693567034; 669277708; 202152686; 459211089; 573374863; 780250135; 436322974; 323865335; 210939470; 998850234; 139435686; 326309672; 346261019; 451257421; 602732199; 859797073; 268692262; 153542735; 560460620; 953259110; 52164776; 338257298; 347594487; 635937946; 449257976; 110806041; 815950024; 942390655; 385758542; 530409316; 545060115; 4618461; 339042761; 365872377; 979027052; 871107563; 546531139; 762075568; 726908301; 406096986; 17005641; 752415716; 350146263; 311569851; 699472417; 181106819; 435203313; 447464053; 249245900; 191220648; 245011333; 127526353; 643085334; 215693714; 788071387; 696089578; 884854730; 787463780; 751345959; 309225389; 124912247; 607303804; 641153014; 762946986; 984961924; 708295566; 33781503; 322812894; 305434589; 430457952; 325102082; 55124059; 309577987; 911377165; 277486315; 288433571; 105049429; 568665647; 180162080; 333896964; 711613464; 900383682; 844860867; 870099389; 126339866; 281105241; 309790361; 128121623; 913704393; 898654699; 604021576; 526134440; 105518469; 467942230; 924189514; 910274165; 843114776; 591886253; 839740714; 150699784; 8265044; 646435830; 826460155; 616692993; 787975343; 306300037; 72291291; 573128480; 842547543; 331099576; 848363238; 547503297; 452568984; 142102322; 156559878; 303565892; 530229922; 895515762; 686779588; 928025512; 817283873; 8356857; 919813013; 227022899; 645405806; 837923974; 751795669; 77102191; 542464295; 472370018; 275042131; 477634474; 86435414; 742377832; 892115115; 807230103; 266772250; 491938244; 804515533; 941575406; 159463968; 361270637; 275795712; 773601772; 765847059; 174053232; 751594066; 328437205; 829814373; 986837513; 551199157; 347188683; 196181940; 142966938; 247881044; 954335967; 625450824; 692987952; 906654723; 566148286; 119266778; 32277853; 585098462; 597364562; 16066152; 514932397; 351147396; 862247811; 462352993; 270372337; 448537742; 226644319; 167742167; 434129798; 245854363; 245296052; 491149405; 360629267; 876580260; 925126699; 229091151; 802911274; 518908614; 103700575; 144957406; 355378834; 560786946; 185018596; 664184782; 645388669; 637558527; 25349984; 764907373; 862158190; 217392987; 342186325; 598784528; 484945380; 629482247; 541771823; 477472176; 502709247; 15037076; 970159473; 354232500; 383247444; 791887737; 61956400; 821142925; 590345181; 611776210; 967778158; 371469746; 634874492; 451057703; 644454574; 159555037; 767904024; 963617511; 909584929; 663284319; 135869378; 325963617; 987358982; 388290532; 73869960; 723248364; 627822089; 289608610; 509370640; 936272135; 56694132; 871965444; 276821091; 243322974; 789220935; 909360408; 108244897; 445371373; 718815723; 899545204; 815728255; 9809377; 958811723; 93755571; 145912881; 827641725; 795598819; 250941746; 925511213; 747886555; 238496297; 248316762; 540271983; 238710792; 795126197; 349437860; 131432569; 394443761; 935404135; 503456398; 352776369; 826441788; 289798174; 989755753; 246718087; 86038313; 798916982; 348209066; 365777555; 614859935; 558227743; 471916555; 218861711; 610198927; 625694937; 576401271; 938600345; 574342898; 354193817; 101648197; 295176544; 271542729; 402648052; 397302494; 957410364; 672852396; 919754253; 29120888; 572565292; 598384503; 48604501; 591800481; 607795741; 962974649; 360704292; 697031858; 243604215; 684191387; 216613857; 98452961; 84674912; 640382065; 288114214; 268220841; 571284325; 10290148; 143631661; 189427196; 218793845; 690943134; 938489265; 850784848; 790078410; 690199469; 311056499; 874898481; 181359038; 730038630; 535972977; 976609238; 14957487; 664230835; 14937134; 768219184; 993034373; 370628184; 396361484; 258200585; 693619766; 890908489; 431417705; 944725121; 910126739; 200873881; 17371681; 627929316; 478390309; 635050857; 641890709; 129564667; 348184506; 510116066; 734733445; 477678774; 166022080; 805292828; 551152216; 261729070; 656265687; 718284007; 672583619; 31172101; 86673781; 754070781; 284040575; 347513831; 126416220; 165273497; 433699640; 128212903; 893661256; 783925700; 48746233; 195211976; 615684438; 634882248; 817723056; 129988611; 634503132; 534431399; 903662745; 617623528; 927557310; 18069385; 252310250; 240752760; 625649892; 783764089; 630807662; 901842620; 987588565; 452233437; 598818043; 43529061; 114378635; 570626488; 928804995; 192557727; 580980604; 923426029; 509226486; 499731238; 932121392; 834640561; 120520725; 620611413; 458079845; 365921687; 85128583; 414357682; 415564149; 473133864; 704008642; 50386138; 847953200; 213428192; 114324675; 82411813; 551121920; 489791424; 717478777; 92059208; 478914940; 216393510; 406303741; 94337437; 659410974; 749521019; 494967163; 257039837; 159003908; 818238321; 508756219; 115201414; 172094801; 287967626; 83125314; 354898893; 144190239; 980404896; 961205290; 506144532; 329986476; 347938306; 362167724; 630009261; 397693839; 568395533; 135474949; 461162005; 244713821; 266461737; 772759315; 231290765; 580982588; 212609619; 255972936; 83689263; 804394253; 742997603; 563181112; 237952357; 216003687; 290624072; 216785423; 240281852; 394090433; 873304812; 627836065; 612636015; 575028025; 847904982; 305619329; 298512708; 538171836; 555256840; 359947164; 192409836; 422415079; 677422009; 925434845; 384877329; 902758485; 530389695; 936836708; 680542433; 980314998; 983730526; 961294167; 130063656; 879144990; 647152725; 837899759; 928517489; 987699476; 195720130; 673593960; 915757943; 333503050; 593995595; 346333369; 251871842; 582447389; 416169132; 223759677; 957136823; 944988282; 334297104; 215354334; 383653440; 364121335; 8940651; 479925279; 901681853; 371773763; 833938346; 517087021; 213151022; 780992340; 246819400; 206117637; 182073018; 218911165; 101442633; 338432781; 177409966; 224528315; 562813502; 680216149; 267562050; 939793266; 586512837; 465163490; 803554319; 720542260; 487685889; 138830096; 666425126; 804741628; 589441497; 33725235; 300600493; 291493401; 306492041; 993451810; 391748853; 662695483; 818700109; 418532288; 415154350; 149487965; 436867162; 378634562; 638977883; 468175747; 580882273; 510198020; 990502227; 674379021; 770298609; 734126342; 880993255; 199715104; 655292646; 80353527; 404027456; 52077217; 892135174; 75848033; 271422882; 748733615; 478927046; 504629584; 515723428; 962777972; 879771507; 714760099; 802396561; 756511660; 221069449; 234679878; 188087791; 57195105; 755952971; 832729373; 441707193; 975233735; 167015173; 590537578; 223990992; 956401068; 117727916; 750546816; 814339618; 332691164; 278877878; 735151416; 762937634; 963925923; 241394329; 120871810; 182817857; 25461625; 195409328; 520928939; 504234202; 191885612; 430851210; 844180516; 973356459; 504624966; 865116599; 337592187; 535838311; 336989659; 905961574; 512155015; 47972041; 80467223; 782518869; 303892313; 304038619; 98524105; 948860214; 51693470; 785990769; 725702555; 22949119; 633640214; 170170618; 610657799; 479280993; 162529854; 403400007; 880261800; 140112000; 140769581; 469003657; 151629767; 284279023; 483517703; 554241366; 955019708; 191473946; 304769306; 159002524; 942790057; 537128405; 39313898; 165271957; 764979259; 170922159; 190396436; 301955174; 828478388; 605214433; 618440128; 785547360; 789994183; 724439339; 815700362; 297943016; 779496447; 761957261; 494459298; 362300426; 25011070; 952863427; 636909175; 153066809; 602963069; 794192115; 592804656; 607575717; 80912339; 320118446; 832154624; 977738957; 281838791; 770810560; 160637789; 88622027; 91655331; 131558388; 246279037; 325758018; 647873813; 327980229; 745956504; 454608333; 275510551; 491035996; 578341759; 309144260; 84836637; 268629677; 166851233; 372946402; 12419308; 976496431; 715046849; 586673159; 310547180; 88216885; 257410658; 63586039; 253400022; 307985163; 43176416; 688141789; 588611307; 147105381; 411337967; 194773937; 354459455; 534749237; 394268812; 713792482; 694076963; 564014545; 156562250; 621489217; 199683817; 656928358; 427904333; 729622413; 476571840; 875175104; 447821191; 187597352; 855568586; 938533744; 960077559; 987351300; 751834356; 368990799; 538673986; 26459726; 963707588; 503005786; 826938348; 297216454; 878035280; 322310301; 824331842; 701147636; 260393537; 497763875; 670710319; 328137830; 669610837; 937834082; 952108329; 886002414; 46032256; 317207170; 934096665; 165246418; 206401549; 778951930; 837145491; 770451866; 528012900; 265739794; 292540064; 453977860; 754215841; 31158343; 349216516; 481495923; 180848663; 993415071; 187183720; 995599333; 172011220; 771245882; 916847250; 70478627; 971645781; 219542310; 342086402; 473950571; 5226309; 179617926; 619125803; 387308979; 386054124; 529481778; 394209203; 724163144; 29400080; 227877673; 143571309; 747967869; 852808355; 446372167; 543497908; 265160091; 998621848; 841971698; 851466475; 257035279; 256578719; 647302425; 62503983; 996411803; 926568855; 819007069; 657950186; 983324785; 576441043; 623199867; 537188185; 446891452; 283948012; 186442965; 595460487; 342976417; 227154825; 206207722; 136200738; 187218581; 944569487; 446144924; 38002808; 576729709; 25115909; 240880092; 231962738; 997292212; 824101218; 64589779; 764525884; 325943967; 482033544; 786835514; 468077066; 745285798; 89845414; 489327368; 33413890; 526863614; 540750421; 709258798; 874730369; 848275150; 651079146; 818525875; 221864260; 913287067; 312339048; 508206963; 269730987; 217855008; 543131096; 357416223; 312914935; 827876353; 434367049; 246649131; 747327083; 51931521; 855822902; 100656849; 557554307; 777229278; 101778752; 830457685; 18104466; 595195718; 435105223; 425630333; 608940757; 784307580; 192380825; 16531918; 407821122; 333437378; 581065934; 428333391; 465796673; 560397201; 838466003; 748687449; 243210495; 37796678; 345906143; 845201683; 533199200; 68930685; 385628937; 298209485; 392215354; 788128097; 957372215; 709171262; 779395409; 623490766; 948366413; 684937011; 805587259; 849729774; 16608749; 598465802; 841362937; 814283321; 183039986; 529789023; 558871141; 803359673; 425186335; 298629295; 639947466; 57614983; 566661328; 349724837; 857352648; 761579972; 51309842; 229965283; 442562766; 449318615; 414406357; 377763855; 496122699; 79683390; 597366209; 769156337; 861895411; 319743119; 98416621; 626060155; 12650534; 479077853; 175483352; 630477276; 258867261; 832838845; 446961507; 622629336; 742711464; 601343299; 494028546; 857971679; 553800783; 565418133; 558270702; 179068516; 165270152; 392811392; 660747989; 657638430; 649902464; 166684273; 592784489; 621356018; 284220266; 175603685; 234798010; 944307798; 550133543; 688785449; 983211217; 3400319; 794137631; 380584588; 98618518; 127820915; 375197361; 459044907; 10459186; 242783452; 692743622; 107031393; 577341584; 672151369; 384152192; 487565311; 222775268; 953420475; 277088336; 249703365; 401537684; 512328625; 484295890; 926303689; 374032541; 636392084; 823276380; 404813070; 550848860; 922132397; 385656555; 692764390; 318412899; 529451229; 174211112; 11793432; 893999550; 232044510; 620097962; 366866360; 992017684; 546719028; 545999242; 66338379; 356504101; 236120395; 302945458; 924073589; 891570266; 94556048; 612724268; 947373679; 902581814; 617325942; 229092067; 94123395; 153233395; 417573418; 881418503; 670883041; 197558948; 386919768; 815747839; 879694835; 665731319; 382656064; 689226478; 93615480; 321114165; 330254782; 559210212; 692269773; 10826923; 792370210; 517909570; 694422547; 847824243; 722248802; 477720044; 129327830; 669230352; 452977061; 773954657; 381111807; 239803715; 23369709; 409125506; 199324327; 922875078; 87662977; 467052613; 107682950; 783322772; 919738839; 249719858; 981921318; 965529115; 266099709; 7966177; 946162642; 346174810; 215590407; 275139131; 277226162; 325993220; 278689395; 81461489; 846718424; 889133130; 151570321; 869530719; 389822789; 455524763; 270274010; 650289255; 519554541; 361145631; 182639902; 167016260; 432007969; 61186492; 89371261; 517056150; 286731171; 754522057; 252077569; 591208022; 647731507; 516074255; 128803673; 862773453; 254322828; 390364794; 599270231; 990997577; 653394014; 572099633; 197044235; 955684283; 720084376; 555607736; 38018300; 903948056; 959501105; 637369840; 737107330; 227664256; 125969019; 623987746; 706463806; 546432385; 150085747; 548695310; 876511279; 711347932; 948360786; 202798205; 930090943; 534536595; 583999182; 316639362; 597449902; 59704669; 870811958; 859143383; 400965438; 510119998; 226383868; 490587205; 266984757; 87762420; 926418658; 332446558; 840223342; 553715693; 392037171; 274169506; 663002709; 40710596; 35685209; 896187320; 711579885; 844522980; 947257175; 595694624; 994826246; 802507403; 983126902; 952249574; 81166143; 343644327; 535687009; 421988160; 851316754; 307588133; 800332875; 120396882; 996978618; 969205346; 552993814; 951450118; 445974328; 398402369; 528920036; 810849820; 299954419; 476621993; 181252309; 616780198; 88447564; 776880191; 400217795; 666094871; 94718293; 107630860; 844135555; 414465723; 745126650; 75641238; 243170712; 949391735; 502681535; 23668648; 442498517; 172378349; 602303658; 807573757; 66248686; 302732102; 624419868; 526783119; 214759879; 56938848; 773989963; 6116688; 529841719; 791766255; 355991306; 452011847; 274887655; 919057665; 864871858; 917343711; 578369119; 361234802; 95351090; 860040594; 330241482; 132637235; 155390119; 70423475; 644954261; 604751333; 735667371; 422975210; 529911598; 545990160; 215568029; 784022917; 392679125; 150836434; 465546536; 276444712; 710618327; 458954173; 832088356; 746271789; 54477633; 521737764; 240717864; 495840303; 951620346; 760039808; 659102293; 688323712; 854617182; 492826493; 607041633; 300831073; 450471733; 801705878; 333577406; 478315774; 83066062; 495433048; 272973630; 505717658; 97135636; 822021397; 716926942; 570903994; 827377353; 76844756; 747320126; 258374912; 890704745; 103282482; 144709901; 250436031; 607267693; 232252368; 815372524; 463139871; 246680768; 475146291; 826993682; 14821143; 582618000; 534341663; 631404550; 541434981; 665611801; 439472516; 897865317; 484282471; 561614622; 180373148; 860996285; 530278936; 115871409; 817624707; 791959598; 665648441; 773590979; 353891532; 43897111; 549244181; 525385983; 356649028; 855581819; 730085270; 781276214; 553287764; 480390338; 315727600; 589134012; 349934365; 37358253; 133571856; 809362542; 512602058; 984259663; 964892106; 830181682; 193362496; 289208475; 858078775; 335502210; 668040627; 123040187; 723809350; 392230477; 349842690; 176407357; 519890462; 803398589; 844127922; 279530764; 777503580; 825807028; 874698322; 654595778; 299084787; 448570056; 998702756; 878871152; 144487626; 280164554; 541342381; 683395342; 704525843; 635099071; 871444074; 854755313; 545241191; 416677760; 908439008; 6280612; 113360698; 825184506; 498428555; 659322838; 206692702; 819773326; 78509813; 575568871; 494708703; 692886408; 198462687; 994113725; 185696109; 819841991; 924678596; 441790433; 160318877; 126342606; 132039028; 890339217; 35197293; 483412951; 290801064; 910545488; 236863515; 46764274; 464051392; 705349721; 56030673; 373758335; 542470180; 379511807; 807549296; 566007825; 62442422; 816879187; 335245083; 627558082; 670926079; 913404550; 981645396; 607214853; 111429998; 360143626; 820880153; 700969905; 390915578; 81704698; 606305205; 818997036; 839579420; 205823519; 155585230; 145122266; 964846227; 268585342; 450880808; 290929733; 701570811; 422554362; 176081897; 921511615; 101089094; 288879064; 468402799; 234186782; 332112040; 832983691; 926725338; 327837559; 991436149; 518001660; 474487819; 656995807; 899615488; 180818148; 499714157; 959395358; 274988400; 388367489; 439505828; 696162650; 510738466; 986082850; 229346437; 255240424; 293639399; 194808292; 13506092; 609265792; 464637850; 75227982; 840962626; 267354439; 336203474; 439461853; 840341864; 721752873; 776852512; 592626781; 135552747; 495942883; 255544023; 844365536; 800862206; 971108705; 717545873; 513717583; 793406444; 439190925; 321561537; 700764137; 250605404; 335229767; 583566674; 489981661; 757774134; 655977442; 243651798; 967095277; 10153428; 836309965; 309872372; 342038642; 349645730; 792751025; 990921299; 760149052; 567740315; 271399569; 175397879; 33450913; 651436244; 481824213; 403282862; 194689102; 143928749; 640446543; 650847561; 165382333; 21330574; 559749504; 282940989; 635452680; 198970804; 787741454; 224206403; 116876475; 888283066; 155625883; 860938482; 99088315; 484939080; 364475419; 153539142; 226078558; 750222544; 213606507; 688894008; 276468095; 278536363; 309485454; 494814303; 565847172; 185128670; 474807123; 433802845; 898356688; 43128309; 943678481; 969260612; 22405733; 710265235; 117100653; 838713994; 728511539; 888476942; 495013699; 520660543; 580415397; 712448051; 742683544; 462624548; 480195166; 360713853; 296023939; 136173400; 767333058; 887881473; 565244375; 692747906; 432832017; 25138485; 638412308; 130522256; 576208056; 84298855; 410520161; 416427322; 389088761; 624078853; 902418781; 760646470; 258257149; 899910699; 776203807; 19849935; 646493819; 560776196; 546763519; 823332256; 734592445; 614286546; 616045382; 989454045; 17075584; 7877742; 502817732; 224907449; 855294437; 101417127; 807471111; 560027782; 533618440; 678982159; 848796093; 689859567; 190011906; 5785746; 42930470; 192270620; 880400034; 838024067; 121561205; 290767336; 111960881; 853019340; 341175094; 766270350; 188758306; 727467556; 136319432; 576969623; 280426212; 623323983; 774448576; 588954976; 315027230; 803856696; 29941095; 431948971; 142281161; 925124433; 861392125; 80891864; 972043980; 629020667; 561805004; 312315151; 476215536; 771343174; 987329546; 357825065; 336891650; 411555915; 343813589; 195820445; 882645414; 410720520; 753478695; 663992720; 774220252; 749137259; 930691248; 434923257; 161093539; 770837781; 354312961; 193395774; 367123461; 565354245; 679270793; 397628751; 217121216; 11760875; 403564348; 71150102; 368592024; 897815353; 994505662; 408127559; 13668410; 69820824; 69774071; 861606001; 604655326; 121848283; 363261206; 533544368; 538663570; 172311982; 220197600; 172089912; 165169436; 429935475; 65008037; 699439776; 273839877; 490141238; 490067959; 444898877; 393713858; 176355122; 59295682; 892326741; 281583835; 687723650; 870182540; 346071449; 332969843; 335722873; 337845984; 45176399; 24415806; 2308862; 1110263; 952816287; 413596322; 457602184; 608181126; 138846196; 683156584; 648555388; 136354769; 70181525; 911269767; 348803783; 586386836; 95395008; 639691462; 197246507; 784316873; 351344494; 516118995; 133439447; 209032763; 754815525; 844000344; 579497382; 543598008; 669010574; 810144603; 990464876; 974778641; 697366177; 327010262; 370312488; 560846170; 792223978; 70777692; 730059355; 645250397; 267577093; 38654537; 752518626; 382980134; 931773562; 481034793; 391116196; 978295062; 460741013; 36044394; 427642224; 654541956; 229620044; 480648144; 220672935; 74255693; 164517499; 848528607; 698706905; 270106207; 72249359; 728454879; 401029097; 749737699; 540722419; 515623264; 186253746; 447327384; 667749960; 257643019; 53384358; 244082175; 319549014; 824197936; 312631521; 223966894; 407534855; 232784358; 271917418; 921835724; 796371425; 768552953; 771116236; 720631769; 176115214; 463104294; 32601129; 873101983; 726488097; 905506187; 772022708; 790766539; 277549142; 258224017; 534233396; 457451484; 984765991; 666356229; 285112732; 105240204; 928779057; 733734550; 426028638; 85012999; 607498383; 350044059; 192726117; 785458212; 5138745; 638384576; 530395046; 160725892; 734577696; 298137775; 647176944; 636168408; 916717020; 145883949; 21835951; 609989524; 624600036; 130858009; 196338930; 205677297; 242576008; 182054034; 173135017; 310635461; 239132350; 820851500; 952663487; 842340211; 870203762; 136114077; 875790965; 997698949; 398343918; 120520969; 730588957; 512775855; 8402306; 149806096; 944510804; 590083469; 73224200; 638298925; 377854673; 108235234; 523684573; 737188402; 2401175; 346457936; 172703383; 68480745; 645510646; 29654483; 134565318; 758053746; 173563088; 30554840; 677360534; 923509332; 473173031; 395834641; 895652708; 605630278; 508175810; 764267340; 286758227; 744444264; 379175927; 449921848; 733348406; 580120246; 517256243; 809596999; 389739963; 149587825; 518270340; 781470036; 338561638; 390916754; 176754554; 761794037; 291256125; 837185091; 732116166; 43956658; 150478758; 774125829; 643082844; 433448966; 145624080; 658759579; 975189687; 182969393; 969020183; 514460413; 407090123; 806351506; 546163661; 456190832; 767790206; 497309281; 279638005; 353159068; 188343504; 276622066; 11211935; 845988772; 129716351; 179604516; 901713398; 807188467; 221256876; 372100198; 210494116; 3705926; 424688858; 241869215; 463164360; 789967778; 906824777; 30644170; 922593312; 870508102; 295177668; 871995365; 945281750; 819341940; 739946801; 12044988; 154891550; 478628932; 972747958; 904619787; 377180378; 731784350; 399165286; 818350623; 864683908; 829864725; 859057886; 870464298; 550186631; 806230328; 156856889; 902361490; 150111030; 427978050; 635787880; 202050879; 942161080; 109182608; 896550699; 225527937; 1389135; 745689842; 86486564; 864162564; 5496036; 777358075; 770648663; 79851200; 949768534; 180911475; 432703028; 450220864; 512693889; 78978195; 536102254; 846388768; 709182546; 684179252; 588229545; 465688588; 62689190; 231436507; 444025359; 446536019; 498654777; 254235486; 757735073; 3308698; 204293927; 166774429; 206945668; 669447860; 587798803; 968552651; 702979778; 509986268; 421595208; 658693753; 311193363; 667210544; 522571593; 622115838; 276192827; 342369481; 249829775; 310669449; 143289847; 192370577; 276004383; 46471923; 517907769; 38643304; 859472548; 63585522; 426083874; 59218909; 808048523; 857310500; 634284520; 914991031; 768015314; 338364133; 56784469; 549295962; 905736217; 850548589; 436109554; 602310229; 280527687; 581026012; 250260519; 94920251; 687195072; 715605344; 812827227; 121047329; 820041695; 944980421; 761843831; 669681665; 893838821; 636433333; 658601084; 775978999; 693736; 828142745; 793907544; 443095282; 667829409; 966972183; 107051237; 835205102; 174982423; 976935799; 166285456; 616988179; 384074994; 798097663; 115797299; 109600134; 678026262; 164419564; 900720457; 890698898; 246533756; 744699434; 976145004; 859338715; 380534428; 239842175; 327532138; 560228431; 835422064; 86109188; 436136807; 562260015; 714422856; 652486483; 491382413; 248558592; 47127165; 420724437; 835853533; 700496733; 198441067; 847132235; 808758721; 969536979; 842604953; 19246681; 756169129; 87299869; 113484450; 213818009; 653256432; 460648611; 486615476; 786937206; 825708047; 144959874; 483005513; 315277484; 458118120; 987810880; 440448650; 450597398; 56606046; 622491683; 9315294; 402591289; 57507108; 540247114; 973140542; 901497821; 117059023; 923403284; 254770802; 337402255; 630798921; 44869992; 503635697; 653696614; 97691172; 692823490; 671486158; 215593409; 128049096; 51064024; 151859051; 989625046; 534568785; 511865523; 804590410; 152789747; 578002812; 400643391; 746641972; 373386205; 447966762; 216855307; 747531637; 629084795; 928318330; 386974745; 680022877; 721786378; 920395528; 597250466; 586201335; 188508906; 893020783; 208741505; 789442410; 138210386; 182816013; 839489682; 818535254; 27724923; 271657370; 52380605; 756435266; 259760562; 173264985; 578466608; 211415241; 277351160; 994433619; 605014110; 109737936; 951816885; 151872984; 437301871; 657772697; 701015346; 246627780; 639946642; 941448178; 562440403; 512597988; 641431519; 736319869; 95465603; 652165150; 324041869; 624372657; 959333724; 518346217; 757774499; 133957495; 25561867; 624193394; 595748537; 485385180; 133084757; 520071223; 4078826; 386659126; 496469866; 410370106; 515826958; 15107574; 928205991; 210199455; 872281929; 175547467; 599313571; 198410993; 524338695; 47629775; 323066904; 154106020; 89360205; 573686797; 115368814; 744836769; 407702832; 263786877; 503687133; 423034065; 814447664; 407373376; 89879452; 496409771; 635738873; 971649889; 278605005; 394342115; 247223851; 480025538; 332259578; 870606627; 853005124; 564178469; 76818035; 522787291; 363424451; 812925302; 941133394; 334980263; 288203814; 635000445; 718067192; 804859112; 506098587; 337624030; 855847919; 743511920; 766591741; 645185534; 666495062; 221502231; 956728792; 725035143; 734771055; 794004193; 54537202; 685441472; 312704634; 885657144; 394300099; 62867819; 185463588; 758479248; 811173547; 443026100; 934869180; 836211246; 329303403; 543539182; 804216019; 764975672; 867375998; 447868317; 510966542; 183996175; 770858499; 972270739; 38602002; 80079651; 631160166; 872300994; 281068346; 240997335; 558428456; 635393236; 314092356; 542158996; 361794680; 842118593; 969462755; 248845624; 97040434; 191026469; 506195424; 681539665; 471462363; 407031392; 394239462; 216587559; 499172272; 332717233; 528497883; 28397583; 127451318; 537488132; 233106459; 558910329; 568846298; 980238965; 663990665; 991044814; 469848397; 126594089; 752774484; 246840169; 363050684; 343002256; 489655997; 831774883; 4605452; 461419582; 657440698; 778869258; 862580707; 704169785; 237590485; 280719657; 917848606; 399201251; 768310924; 249798911; 360027216; 58620968; 283331155; 113392644; 33209187; 388100300; 956342490; 176128181; 646260884; 819012799; 425679597; 555714305; 159394301; 126727581; 615741944; 320363259; 285920844; 389710134; 716652518; 991139425; 94780009; 795769534; 329150150; 441979373; 310264309; 153137156; 440310659; 553597873; 246448927; 475695860; 862712468; 472822574; 942394929; 406325217; 233899864; 600655502; 546895948; 91896043; 298293314; 279708236; 599795103; 657181092; 868248663; 344244185; 635095366; 900328988; 957509567; 689693786; 89137671; 688078491; 477664330; 93445246; 352223023; 285209396; 266489448; 663740026; 290760952; 75807891; 342104663; 300477385; 611318327; 879011528; 348294053; 106086231; 196436721; 42553867; 674326498; 918025986; 382097348; 914538075; 820088277; 315177560; 650795975; 596956149; 785016165; 22574245; 609766522; 249342345; 964856558; 255079135; 785320619; 145692231; 858090755; 212951446; 968821233; 975005936; 618307056; 554840295; 740845099; 605303152; 494750071; 706309797; 652583336; 292329740; 816031908; 155579626; 268639277; 609245446; 219889746; 465165351; 631815232; 131531526; 13062478; 701402590; 353034034; 708865671; 982572526; 342768651; 217796881; 139746151; 711073949; 472232627; 34719165; 657057018; 300804329; 52433178; 432447337; 513173551; 128419472; 201276156; 164603585; 626836740; 253252588; 71654233; 297537668; 512351823; 253067471; 93486612; 220517698; 533772073; 582928145; 838113231; 733856907; 132050272; 462980761; 89920112; 660850401; 654018630; 731325839; 50814153; 218810352; 869687628; 880218715; 568822158; 288206695; 623106814; 198425640; 259896039; 444148507; 220412651; 268566089; 381656228; 23542994; 80244718; 257392574; 175154459; 652689485; 352631251; 370828596; 329552457; 133958828; 365912312; 727582147; 666037923; 776103972; 929325084; 198793300; 943852189; 302232495; 183812047; 936180550; 969000266; 766663961; 960600688; 918582507; 999670056; 474277182; 461748444; 65009359; 677365030; 614150512; 222438345; 288914363; 592560582; 423273195; 159464902; 137919624; 320902459; 631475294; 16946477; 107593784; 214540730; 244393720; 349479952; 987091129; 305316328; 977991030; 498549103; 693936549; 331120182; 258373419; 742637117; 698882706; 147205499; 85413634; 943554505; 767016789; 428963028; 919921355; 926169821; 289139767; 976246311; 638471844; 726514588; 185575664; 976506294; 930935783; 7899030; 858614604; 326844489; 474869443; 909620800; 116140043; 979361369; 177465659; 661377982; 598710411; 127139069; 191418322; 380466962; 653272896; 287567; 354652750; 912145420; 705625688; 374660379; 231343714; 97771001; 891876637; 53540505; 791667094; 995482807; 727637761; 547983572; 687092037; 69708130; 294217809; 527532069; 721068029; 551453732; 681760971; 334068170; 789247970; 426438702; 724012901; 249139531; 535951019; 332756504; 966797289; 860662712; 278702911; 326782086; 895619691; 920798038; 766140628; 576588310; 147296278; 668850596; 439382457; 429270355; 351998820; 524971900; 783004434; 387712173; 54031826; 870318582; 856012804; 817396913; 810177487; 207892957; 905753750; 27885911; 325103519; 452119173; 625567570; 212572397; 942205709; 336507021; 558807126; 968498395; 985132655; 245327149; 49752084; 211900974; 604855819; 925583760; 986598087; 70632960; 761113431; 530594780; 305809806; 393660218; 200868866; 433560330; 997359107; 398706127; 825555234; 946863011; 506217884; 334725323; 51045542; 920916934; 594106530; 487871743; 891651139; 110176725; 703652962; 117816983; 106505360; 192616634; 55941559; 617941944; 805930388; 860552337; 379574871; 629395935; 469476311; 808933250; 582355342; 430107227; 435443400; 342970580; 848085481; 385172863; 83448568; 652475389; 526083523; 527130743; 97221104; 36167930; 288003986; 830630121; 908895299; 359910037; 721699672; 958988655; 507214951; 340135063; 333733639; 13674951; 138530490; 504238845; 853597669; 161475782; 580665957; 178508105; 166111720; 555115016; 991760302; 197485259; 958992996; 15071677; 864308161; 806582627; 885848752; 789825399; 281935088; 892310960; 850547536; 98481415; 864729687; 273563786; 501402503; 344154933; 371795490; 463630762; 320674404; 11605312; 687678118; 934722196; 269842525; 364241091; 315653646; 171093501; 116825016; 183062633; 489071224; 111624964; 145418424; 76991024; 87698922; 681416157; 139233010; 667310734; 119779365; 932494558; 66147144; 122135069; 467002453; 722638346; 60268554; 589256691; 648832531; 734269159; 882220814; 571233622; 336704681; 190599105; 436244589; 875907342; 789462854; 393904393; 407069785; 31089499; 448813227; 629879357; 67443796; 145861820; 197807204; 657770049; 411923142; 705851411; 235274928; 967830490; 461363596; 443579187; 566376270; 304414; 862248824; 349509086; 278475478; 635642462; 237584288; 897702621; 893664663; 318171311; 262992297; 142347879; 841650248; 136917324; 358280765; 193390502; 140045350; 651227451; 215213895; 897345550; 635899844; 797985757; 192931770; 154401131; 725433345; 769010047; 714105431; 652404413; 412773010; 456397176; 659475790; 299563795; 614472636; 600074790; 235998625; 931589204; 890163044; 139305752; 854292755; 783643341; 96761775; 656652556; 20269319; 597959250; 781095220; 488335754; 25384289; 204738305; 330416051; 937952425; 378552079; 291837768; 684930158; 14292337; 774441313; 611889643; 741677935; 300904028; 205082077; 498876817; 46089641; 909831286; 323949211; 824866843; 391993628; 575000635; 128568245; 526646865; 406300608; 345148979; 175895067; 627665111; 652871345; 692092032; 677330810; 519371210; 543410910; 366080754; 737187250; 397416980; 768852204; 987061801; 676183914; 379982656; 684601580; 811927041; 802592418; 226626562; 972281546; 808144621; 158223357; 358913911; 388441209; 265855738; 534857947; 71389615; 103563839; 895063949; 746667408; 56927546; 550920539; 785598733; 525132464; 892093376; 908206382; 585287656; 157284192; 24407730; 919188293; 577685415; 67780334; 320443842; 309094982; 754227585; 610293052; 738040831; 735632300; 74161859; 637987813; 574366903; 73270901; 500225322; 37986315; 280581782; 788866758; 721731761; 928927961; 159385996; 406039767; 10269003; 388473429; 321262537; 322101785; 4454131; 22478206; 184223057; 168137925; 147693657; 809017438; 801431587; 701682566; 258792508; 656559852; 985334602; 990809436; 311274748; 308399634; 221681015; 550316610; 184623302; 300892135; 9156375; 426367270; 800641282; 351118770; 222110769; 284776345; 49516993; 837633972; 64611873; 588156718; 668443287; 858197351; 777464681; 426267762; 561354310; 688175593; 565505951; 279429625; 106183627; 276852201; 311951390; 624204001; 112472391; 503958006; 390597914; 377471304; 593586712; 757513889; 779390823; 891189507; 798915371; 508053736; 754573014; 808056502; 229942823; 463296574; 587119901; 197470912; 828879754; 727876786; 350586107; 653181222; 772746795; 320171518; 500923081; 245425157; 447068054; 46252616; 297556685; 284867168; 632569906; 551055123; 617070632; 851735271; 584875245; 941473359; 92457493; 419046933; 716985430; 486071397; 169289939; 316572219; 776539700; 207386897; 588027400; 904565878; 755780876; 796074629; 359992320; 192597500; 976686470; 517789524; 949350410; 357708322; 667423706; 402310034; 152801561; 250749506; 524999951; 122639864; 568007236; 964185058; 206706624; 642410358; 272227710; 577265040; 466729325; 830979122; 823567773; 642286475; 282027237; 236467373; 856165086; 835380102; 496387654; 214254360; 347384772; 893096173; 891014026; 604944140; 196083220; 105676788; 638228703; 540527190; 286965229; 883210063; 357988770; 713614905; 2415257; 882829514; 565608495; 394942872; 165977547; 135077290; 116979442; 458679475; 238495905; 150470735; 253963263; 218221515; 792276584; 29151071; 58585203; 929358967; 37910278; 380784330; 930003338; 451465363; 620841717; 669185416; 139853995; 456998220; 892342453; 847146100; 489536906; 643326749; 377595067; 718977239; 497382465; 896532284; 521571148; 16602370; 398812482; 746514321; 414042438; 341521608; 288987276; 705099078; 679975330; 525056116; 481073871; 241397964; 51056266; 863844404; 672199294; 542337208; 349722977; 670149923; 155617117; 93932276; 978200644; 909605408; 949524; 236845855; 881442384; 373821431; 238050740; 836801837; 855088726; 285742946; 231590600; 441957455; 402402291; 969433560; 854266729; 870087258; 164095154; 295513901; 416008440; 165195909; 854077648; 667431042; 914884595; 465830385; 306148058; 231186323; 617587540; 581490937; 422637192; 248249036; 438171634; 72733819; 916923059; 107700046; 176542828; 585195119; 330353529; 770127666; 407383679; 570939418; 244728604; 338014930; 916190883; 127657387; 71614756; 473988455; 218481192; 409776282; 526748624; 497383607; 323352893; 530918187; 620389662; 9537962; 423750522; 652080908; 491551459; 517358132; 458631573; 89806489; 24385933; 629493568; 789712206; 151670169; 541501250; 789025020; 671085286; 897889047; 684930145; 673314981; 602797516; 73449458; 193457294; 185897371; 789589234; 185622204; 236137593; 477722702; 855345928; 442489430; 992123228; 903212654; 777536059; 262506086; 88297112; 656852473; 259300817; 830380056; 651814246; 914288113; 157910472; 438177584; 423134229; 513684977; 996136822; 600695361; 984628366; 41943515; 944917173; 528175458; 620789411; 814963688; 517241114; 782189967; 159252370; 937461142; 446451027; 708943124; 283370569; 209880085; 975707674; 744799044; 774843026; 313493944; 658322991; 371347758; 559831878; 157873389; 76212297; 915488512; 209401681; 908025223; 674940310; 52017183; 436045571; 46505590; 985097990; 680580557; 53937397; 618160033; 135988050; 56049002; 208387808; 891759332; 810418977; 863839983; 523622609; 500481015; 576135350; 10686203; 397417576; 481061629; 307662951; 312257494; 412485832; 621056891; 166611899; 262210239; 612077120; 133164938; 777569592; 630958344; 362873899; 164976356; 975194448; 749756135; 331809667; 278159528; 261395577; 174450093; 634805739; 64617891; 415756338; 4033163; 296645456; 424023797; 606543189; 478874339; 932178832; 136167200; 117189166; 175040482; 275138410; 31240964; 210160888; 974210525; 50629182; 474006426; 836700293; 460268598; 740719631; 455562818; 241118244; 136760592; 302731236; 738895019; 879914491; 349647808; 636994844; 599936812; 603839800; 346492377; 255058321; 73426869; 692243806; 682641966; 610619140; 446996751; 226953813; 580434985; 578050365; 642595361; 295967921; 693526601; 725416747; 116820808; 967477909; 280134595; 676612089; 517671519; 886594447; 973282362; 42339583; 936627064; 351932549; 668065889; 457516096; 889707932; 379745708; 115949646; 606345711; 388388876; 929880595; 362797861; 292238510; 607623289; 999594967; 874919334; 144860211; 386599856; 1699482; 840456647; 631518436; 687906856; 315952961; 760886266; 924265028; 441000508; 785521306; 305348237; 804669723; 772022373; 346186082; 203723401; 62185566; 804519812; 205328884; 923972370; 677246876; 803806231; 684612587; 761287270; 61132722; 359167983; 462627054; 815230130; 220374470; 117201013; 610636630; 394208197; 162900354; 506015199; 509423294; 217609335; 598086442; 851937448; 934757772; 796171910; 928811611; 846218472; 141915387; 589103505; 649492027; 602417276; 560014173; 965219668; 302163396; 487808272; 907482829; 787556591; 556776248; 978234014; 670008374; 529147861; 839702292; 754792377; 941318093; 131369778; 412845893; 908694034; 51970414; 602383219; 676162990; 644000689; 273258960; 323426017; 474965518; 381190287; 281186382; 240045859; 960377245; 68926098; 463286963; 107785425; 480511115; 281811699; 630214041; 865975392; 274127532; 96302395; 345491867; 600984131; 490247554; 363535522; 955301509; 649414343; 993595317; 328949371; 126683430; 27733669; 849697016; 668655944; 687434558; 721856075; 970429213; 274602014; 37941595; 92715425; 939775532; 235816672; 538449238; 487884414; 897708869; 220744621; 465977582; 390223989; 303867819; 557870569; 460155638; 906426832; 233231481; 631578455; 172033823; 397181613; 708489667; 624154057; 592717130; 743753275; 927559361; 46559424; 781029749; 621293546; 314523301; 364021933; 393832400; 232535495; 653981191; 743515017; 408512419; 812789950; 542131408; 669602774; 820508123; 411303526; 967821621; 573436353; 172407870; 556795710; 213671521; 669382439; 194987885; 495976913; 184501617; 763969279; 457516106; 851141699; 204667598; 640960415; 811094628; 374352816; 362928109; 809559039; 262674637; 321875492; 260531771; 914962737; 285690992; 459879912; 621934918; 385119381; 549830117; 95859292; 698460511; 202780296; 855989941; 902381118; 687007344; 682821441; 753952454; 433030274; 317830055; 715908362; 48732071; 796526682; 873943675; 706181622; 547361635; 820389503; 972727888; 564844188; 695398538; 273826648; 498457570; 310324366; 446701056; 982922131; 221899762; 568182924; 534335303; 400733422; 156843792; 670223029; 331574138; 481115886; 247452622; 55453661; 941563227; 727627211; 987212824; 705277452; 485962762; 738491202; 689938383; 82773730; 939375215; 830788976; 327499772; 104342946; 298409296; 416064314; 634395576; 878104321; 461452271; 469061094; 818111640; 498049425; 628020232; 799957654; 152493078; 925287039; 943681057; 194908240; 280982264; 853350962; 697193578; 437097163; 242188743; 456468022; 269987675; 423564240; 513854789; 727689198; 874387254; 24539819; 993601316; 932352756; 895100345; 876464800; 484200097; 622354267; 592742184; 462697102; 810512243; 541459545; 506154150; 791120556; 540491394; 565214336; 626701378; 375118197; 512031448; 438955807; 846326154; 938794283; 698135355; 931342836; 377032737; 339112292; 121252305; 44108835; 893722320; 13396583; 299528066; 579300010; 82255694; 612397499; 744706789; 956369312; 526920010; 208170799; 268890016; 978221661; 377157514; 191016943; 856523648; 855790498; 220342995; 456564892; 772439147; 813592500; 646476092; 15491034; 288743148; 673548325; 128225695; 124937329; 224736652; 855253658; 406295837; 503001797; 64341232; 199844385; 24735455; 473482603; 793357233; 547437412; 386133014; 67065209; 921557597; 25488678; 591053067; 20836806; 66860595; 778732217; 283014430; 163834046; 723423164; 973334764; 57513605; 477923463; 139531424; 330796118; 787039958; 20228544; 6985631; 438279912; 507608779; 308053256; 305763699; 967600782; 755669267; 822324539; 471476584; 831831905; 974648749; 991523837; 521092141; 30882130; 830014723; 281782048; 938982501; 408279789; 200422319; 341675477; 923195793; 788763010; 959748271; 943630278; 793818463; 31311048; 585869070; 329545744; 58284824; 380148932; 266892488; 421766414; 634991287; 776966072; 651605209; 248208428; 229612741; 671786951; 125084578; 532290406; 605551977; 129804760; 502058978; 922644095; 470407; 496351205; 628049112; 992581783; 537671028; 201747235; 691218163; 578430352; 911628151; 559274919; 847941020; 206145775; 41656465; 649503890; 843629834; 969978694; 433326934; 582062925; 463806228; 96451201; 865439889; 429395407; 899592530; 670809477; 114416573; 337308289; 349168879; 469402379; 898913332; 562836958; 946610587; 683378794; 553574917; 414203968; 805133006; 224569257; 136712074; 400636967; 576270155; 5344381; 104198047; 891983151; 51007234; 669603234; 907457848; 794477741; 224303538; 605753086; 585731704; 191577548; 186251870; 144574837; 246814917; 732912938; 497061552; 757918293; 658058121; 776047801; 473882865; 905965614; 18796417; 348212555; 42686486; 371970187; 141908636; 589459939; 781437982; 266678843; 842067654; 697074511; 935860800; 514849716; 846810992; 914473210; 451887945; 998238630; 109924734; 691095849; 472407506; 836115877; 615758817; 638388913; 909099757; 672593003; 904315729; 576553929; 96808214; 630695532; 237838587; 918670395; 820555471; 315336915; 549736799; 294626038; 917900469; 367382499; 496537949; 141825855; 765280396; 825802453; 986094170; 435781376; 706614652; 585075021; 188977555; 890805043; 940722746; 368449044; 181646535; 151581907; 968207178; 34015246; 170404396; 32446332; 69243485; 704925550; 828384700; 274617426; 916512673; 978986278; 415793016; 861562806; 135487096; 480153477; 993113813; 433472514; 945280237; 926859660; 632905962; 900459005; 977093823; 851853757; 826623315; 22001001; 796399941; 331667535; 450227314; 631347968; 641792584; 905994513; 643846830; 876934116; 363031276; 947113432; 710060026; 935607465; 522126001; 712255058; 940212107; 366562826; 182996922; 170275342; 154878327; 765436522; 366731965; 253854004; 301980160; 796343563; 715845727; 941103185; 800891133; 783171966; 522019036; 747063004; 601250875; 911193769; 562202160; 468467012; 564232967; 68124835; 422127491; 485225648; 855283433; 276572321; 501415457; 992395225; 328698124; 926227273; 106341374; 351704308; 722228780; 278384473; 914460965; 19023395; 115018861; 82368655; 841267305; 14037648; 62992766; 921676638; 393059044; 606987157; 609817997; 1583504; 856393709; 136308473; 635969522; 464713096; 180518477; 166603379; 939290322; 692144922; 183916469; 901759790; 904065859; 229288030; 41005128; 185832591; 735739475; 960659505; 330954967; 892557588; 314373365; 811921889; 839984868; 88985159; 667246963; 682830338; 923618163; 206990570; 105610067; 304273574; 906828488; 915804743; 197609782; 384082648; 547050412; 762668844; 150217486; 997085028; 983455126; 847056495; 910163732; 485644031; 750692193; 296161443; 965300228; 445528678; 507085306; 523007323; 269038543; 28239427; 412090614; 847845288; 390672668; 58163751; 260862379; 13028972; 441745897; 212183930; 101720293; 82513313; 256526524; 908180411; 244299519; 862195814; 317086139; 11015140; 660704122; 682186282; 313943155; 348042738; 793818179; 889111686; 202411186; 388877845; 864689946; 667703714; 363270490; 223666338; 373144406; 13763356; 713612531; 971516247; 957950300; 498765648; 659684233; 697638235; 136575037; 976322873; 33649936; 301710157; 642899776; 485470483; 585121657; 831067190; 910604999; 343531530; 240869511; 586366689; 519242158; 41712328; 265004350; 998805458; 419691613; 432417500; 663695849; 536751273; 955722068; 17978667; 561481452; 51281261; 626595938; 551621618; 696756282; 101513253; 532699155; 360533315; 467385310; 935824910; 282370173; 170923127; 893750926; 16270915; 62734620; 325702641; 963767826; 566963047; 431493823; 795823543; 108688544; 645056965; 676994545; 200328285; 769503249; 189488537; 55617085; 506292678; 773722534; 641560389; 432609475; 769778940; 253556555; 588146310; 684136538; 78124794; 183425707; 183511777; 906199417; 189279392; 427402138; 632149794; 173565810; 953626710; 189754459; 324233253; 158113224; 945676087; 859108298; 8946951; 100880408; 612412139; 476432352; 881745196; 951365388; 123472835; 565638008; 947572037; 968585181; 882780878; 90040014; 778579773; 164137269; 673926607; 703711966; 942631818; 501578155; 274585477; 560219349; 363437247; 3789861; 509813286; 90968478; 502448417; 71700231; 121024400; 397727666; 30262975; 245025931; 21524531; 859439691; 432745084; 523385617; 423639439; 999880629; 956764113; 338718367; 453073080; 679589368; 734280427; 755980123; 654863818; 236365483; 773589820; 872894174; 784344977; 703154416; 248713614; 848313626; 782899390; 970734164; 494027309; 866695645; 273909687; 436042573; 706770029; 530226271; 982672952; 321796119; 187554338; 183097622; 897648124; 419484472; 110675630; 269950440; 261057644; 413520402; 274518237; 616438252; 941943897; 570798084; 408410814; 484656372; 242122967; 348091784; 286183382; 521462947; 173735224; 595106191; 950003997; 129342147; 299068448; 364422219; 514193088; 15701787; 819871850; 361034880; 323440427; 661129888; 51457852; 6087163; 532710995; 671111438; 305997058; 385409939; 64711600; 763399581; 566324045; 777456631; 586548880; 89591274; 714631738; 311431678; 353478258; 72049903; 662330948; 999933483; 136498104; 678763605; 445570509; 917459013; 292508552; 219161926; 481408827; 716415224; 935269007; 100417798; 767799942; 473015403; 854549668; 206508837; 368244973; 362905078; 837216484; 694008919; 407415965; 716431104; 65947961; 57025631; 733339194; 914430847; 334515284; 231720669; 352880787; 668798278; 183680492; 855511051; 532177371; 281084894; 431119066; 615405291; 878312881; 233479684; 244469059; 823956809; 897858567; 957255251; 536638444; 275565917; 241936775; 410396607; 388194722; 672131613; 558760843; 883957452; 404180216; 710267018; 545536032; 25174411; 849873347; 593780860; 240713189; 160024224; 302867295; 463400948; 558088844; 321555345; 47916230; 825119524; 436955918; 943774082; 92823595; 345943124; 842593213; 884662371; 741747402; 230323542; 875079028; 87983554; 68888792; 547097374; 627883738; 275945139; 830353940; 559648795; 567479938; 219665348; 744925210; 1163997; 534092314; 442506950; 420619766; 710563332; 505809331; 426730663; 935036050; 64941741; 697804818; 606660355; 685987419; 719714660; 610617127; 878759734; 24972854; 191580518; 998975053; 121303272; 275914368; 127720450; 653094330; 875749998; 299828168; 232659630; 44914060; 93263882; 801862212; 737475492; 74385252; 156920367; 681766353; 340913296; 699008683; 734623133; 415844565; 944495967; 672920866; 766891511; 767594762; 574319952; 226540889; 523424404; 981407949; 529184836; 462730063; 34328460; 363385295; 187695724; 132189977; 66603120; 592723454; 992694973; 509538324; 330671153; 344255798; 535581700; 709312207; 973492318; 838250325; 388718532; 632402871; 432577368; 49946823; 435770116; 106288852; 981315996; 22632722; 210110134; 660659803; 560209583; 930422039; 945303113; 140798752; 944916888; 693730187; 60990064; 105893799; 39022610; 548052896; 378923552; 223214203; 847393047; 577108062; 507518546; 963144246; 890793353; 197234647; 702154090; 101209457; 710868315; 935249167; 30573853; 286223791; 562385943; 82702114; 550084825; 521653672; 423348505; 980479586; 433458885; 652521797; 815835203; 857896213; 150277480; 732682719; 456899269; 851975779; 320351423; 491250521; 970235745; 480322230; 418889988; 610773350; 294596588; 591365247; 373579525; 853979328; 4751977; 984754926; 765956895; 13100905; 316796957; 398885858; 841281036; 831903522; 192846690; 366580510; 368996525; 661424861; 34030728; 55540846; 499062437; 636816111; 332779647; 887540155; 686828846; 9443882; 35098624; 130965322; 407327428; 803573143; 755448642; 30836627; 805904208; 986554620; 327187473; 594883085; 923273408; 986286285; 298690846; 176015404; 950767596; 622600844; 66188996; 232323184; 538880094; 984766983; 54255148; 32481802; 327482959; 239928001; 440520915; 440336843; 320667910; 505234672; 782393333; 576889536; 313502095; 905666236; 441351914; 230380912; 357038327; 762126010; 473918298; 133006831; 73127677; 99123113; 724765120; 671941182; 410466277; 417349613; 361713204; 488413940; 758809788; 810409899; 185489272; 970734562; 313521540; 245315146; 737144408; 391108563; 907655659; 177381120; 418351101; 87953075; 206123025; 596535639; 250034171; 855681349; 467342866; 261630004; 859923581; 50024525; 826619881; 418391686; 345997591; 988420069; 105473816; 62589645; 558828775; 719647968; 629130337; 109201882; 421252253; 613028452; 630833549; 725873419; 632314721; 491876937; 876658597; 419461057; 386158705; 297446356; 503862103; 655852639; 965498146; 923976228; 754626573; 494682905; 898843954; 686406786; 167635410; 236423139; 729154638; 504691365; 960261551; 98418571; 193865033; 175624526; 432305250; 400704260; 625737985; 934029091; 835677162; 551568858; 753984660; 493505892; 874380909; 953453117; 569382676; 696936412; 160476772; 494818142; 487472152; 29630998; 135606328; 875400494; 278814602; 456461507; 382307401; 729304058; 966527349; 947833165; 136448477; 156557075; 196397538; 240873095; 689835897; 178863759; 783832795; 245103035; 93040579; 772538741; 213270407; 673934981; 639178540; 493592145; 468629718; 674559007; 464683924; 627690893; 217476312; 459627876; 814503673; 686199576; 857235082; 448043401; 181637154; 346293237; 994418657; 984137459; 726332281; 247761364; 978273323; 865494300; 917672842; 69941958; 216104441; 413889783; 971287737; 722209236; 181840039; 656552048; 853173528; 423345991; 986830923; 665935135; 127350482; 66302556; 680736473; 126276018; 269341437; 992270865; 736250190; 540563043; 682297769; 255937194; 989721217; 204671764; 612113371; 911281153; 511839224; 793694231; 305098171; 757813010; 697336108; 524098067; 364375814; 291599192; 807152784; 94366511; 737606082; 697949670; 194230622; 606687813; 633197229; 935110119; 613145859; 532048859; 883880876; 372409458; 60987564; 855753217; 744367968; 832419846; 59622005; 783899609; 497843877; 617880397; 403903540; 686487357; 50539587; 988004764; 161837810; 666440447; 242042563; 377899570; 886989760; 929870399; 624918243; 677842746; 132041497; 835639494; 251884449; 550169386; 708525526; 916465605; 832512317; 709345885; 284435651; 368154784; 974272608; 719607964; 925550781; 155856877; 651933758; 711448155; 242319241; 883315027; 468027123; 892563390; 92147669; 606274404; 911243333; 555120181; 32742985; 242550783; 346454172; 346929928; 603520579; 331058136; 501535527; 779324186; 626383133; 179010621; 817826033; 402716486; 554696923; 236619191; 278921870; 779452361; 109287852; 199186619; 175292215; 450642113; 548974564; 250969917; 547621510; 901715078; 796931585; 753582648; 85800934; 975418251; 495603444; 510539119; 727113784; 126730162; 83237648; 987541737; 483162227; 616224367; 772901236; 443208187; 122099225; 356927666; 820158698; 416385766; 311399582; 325140764; 319873117; 956114600; 963236767; 161450969; 762166755; 980969756; 767901876; 990992147; 835906733; 108206914; 22021430; 776903613; 266902868; 221865653; 588408267; 624554942; 179390801; 985718936; 753502992; 664748023; 761637338; 826111598; 594817127; 403430837; 577677656; 624416964; 60891121; 814554950; 961244461; 940541328; 564259884; 566398946; 401718792; 897735064; 610558018; 218836720; 632403250; 311870293; 133368587; 246533847; 360377244; 115474691; 330500694; 985718642; 625551480; 240441890; 947103770; 635043276; 870431806; 130367354; 343231803; 207495573; 557289394; 260759235; 852267286; 135704509; 81173508; 99182474; 195215613; 423000582; 920597624; 975992923; 510627398; 256030214; 94103446; 988985776; 555562116; 616015568; 731712387; 710454343; 156606440; 900409622; 976201911; 104361900; 448154852; 273186309; 579310826; 27340896; 764818310; 20488705; 462406228; 653865425; 818312834; 80304313; 233244692; 21607464; 769487868; 158340002; 229337847; 401439086; 91730997; 240263237; 498061283; 372913682; 374044781; 671972699; 186972594; 408306235; 562351472; 880112348; 990472377; 635471666; 215435701; 960775991; 537287261; 139584569; 390944107; 904406787; 800263495; 8895680; 726211712; 448016388; 333889584; 163873675; 532821617; 174630534; 27246886; 695021913; 845168212; 346178383; 68242307; 663420037; 921107521; 41171673; 225545349; 553665894; 261254410; 461651765; 208252577; 107042483; 171890929; 207178899; 820978157; 330089199; 126650900; 194430489; 645010638; 594603091; 269911620; 28737411; 588714785; 100859050; 95891332; 202081623; 124172794; 449603405; 650142299; 95517178; 428677520; 578919730; 961671094; 213167430; 265803020; 413202029; 520813965; 281752288; 453929719; 122159989; 86200106; 796653325; 851722865; 377553853; 391484004; 20008306; 969969417; 110308429; 923139882; 806496370; 771277337; 974903706; 291933904; 241540790; 32458624; 379823801; 659120265; 643483174; 4944852; 856557697; 688913176; 598173776; 225213861; 151642369; 560405324; 54229939; 546280962; 346679668; 767109581; 169776170; 774158258; 771855608; 638011520; 520315710; 189344266; 948473196; 744645731; 514863902; 330601213; 637852210; 786881263; 418079892; 827151055; 571921393; 305809390; 725003833; 520201266; 720612255; 783123652; 567761917; 164021820; 81385975; 161746849; 293708299; 769283586; 796429170; 816976036; 5775140; 772340937; 652540534; 846862983; 42214918; 637393928; 47248297; 232592911; 267807946; 957825646; 61884298; 143879444; 483077413; 758092892; 956409163; 732131826; 561911229; 191804120; 468129690; 631210514; 366105210; 694038551; 709834817; 579073049; 407785286; 66623727; 34748292; 740943089; 794526870; 272216422; 181816987; 22881532; 688436155; 732109206; 98658720; 596821099; 459132157; 26252120; 441137705; 995786848; 276107011; 531259757; 690849081; 974115399; 934777877; 549314407; 442933001; 225414833; 317631316; 733762705; 268381403; 204002038; 846854697; 846617504; 700203544; 476409282; 512376809; 106801653; 693060332; 72941097; 164755981; 429738206; 971634857; 507482922; 77645189; 67502369; 730622526; 343009639; 571131616; 751282675; 976940959; 442408054; 230669336; 405599190; 101990011; 14211332; 975361338; 800227319; 619322926; 629337768; 576154641; 379756193; 988421215; 600423429; 596245896; 797614550; 694261730; 170756951; 726273200; 318253823; 780533818; 195722794; 304571097; 364913842; 903552751; 496504950; 808491671; 171064584; 674762254; 483802750; 734781432; 477341953; 48722971; 150403874; 452453080; 90649533; 663693932; 611742088; 621308028; 638682783; 498249138; 474108965; 977205207; 620818352; 480364632; 948531396; 390571028; 255944515; 623233094; 895730522; 418795555; 682995262; 40614385; 564902989; 821905649; 593535728; 497992986; 43321427; 65820805; 508482539; 87867533; 213911864; 184563580; 678901277; 977065590; 52195263; 98627381; 393360374; 628942280; 483565843; 124014029; 813439648; 187216391; 593780444; 457361700; 417026274; 84032016; 136200345; 170188764; 819215367; 11405211; 43023771; 209571250; 666374202; 855368310; 501830264; 791797641; 929793257; 847863456; 527418602; 71652798; 275795919; 12906991; 425744300; 758937695; 517547214; 702125494; 101098000; 54239609; 700974229; 669000465; 379623891; 459892641; 171713287; 701206017; 220288099; 777292264; 798032875; 346255540; 998580297; 292581728; 64026849; 153594556; 292882853; 652176359; 199516444; 835097759; 832499449; 481162190; 191798076; 521044532; 389133556; 435857852; 559434344; 685561284; 485310456; 935266880; 832923285; 523797941; 39037806; 815616024; 566644230; 167388722; 842278767; 968864325; 571312815; 230093827; 846632390; 591388618; 943024626; 600097526; 860190183; 270717357; 669694798; 988735124; 17411299; 89549327; 641086538; 456092061; 185938594; 327979217; 747300113; 479058260; 156861079; 73498548; 168799861; 936735465; 668600779; 222869848; 371110147; 166177491; 286564470; 264271415; 181848610; 951352408; 11778067; 302930785; 16415030; 683508369; 880230391; 375448040; 798255156; 146881824; 572561362; 793864223; 908935987; 102646810; 321830427; 267451589; 425820278; 70201156; 71273411; 337185657; 687775170; 603688846; 981482665; 214820511; 800655184; 129605344; 334641698; 156827732; 459917784; 224740528; 883480206; 312806111; 974206597; 332048520; 554124460; 523932859; 440090940; 497261088; 918664683; 270895612; 662323432; 657977051; 685420783; 929898288; 389646222; 222571459; 9606225; 471934716; 640585022; 260462266; 696482184; 629685392; 516897915; 478415980; 318432000; 569126286; 785759850; 281466721; 175210464; 31364752; 432914270; 867378203; 31956005; 501172318; 673267130; 697435538; 556740518; 932946722; 747784347; 729673903; 348068857; 169499782; 858543127; 674467607; 12895210; 159089161; 938165269; 969128207; 539617457; 14302123; 571972171; 531392894; 586374304; 344091734; 642775616; 330811573; 719155021; 815539190; 536926546; 456497821; 526215840; 915974366; 355054243; 436545594; 177412570; 795279154; 268502538; 671439106; 73548829; 125782392; 33192447; 556673871; 192531078; 42143212; 68571599; 574106012; 679519299; 976821728; 662896500; 236065724; 795324456; 256074949; 200628516; 778489208; 42408071; 878986965; 259908662; 108843150; 536645878; 892223497; 25104686; 406834451; 265617859; 655863356; 716794280; 965757501; 181170224; 858691110; 468175542; 562280309; 871884475; 326715108; 960523710; 527094199; 116855448; 963744591; 553436399; 701553627; 201382253; 118200974; 672999069; 612346670; 839851767; 83807990; 751280796; 23563524; 276468484; 934576314; 549211305; 761825340; 481577684; 711279015; 623704507; 978747221; 404409076; 806992231; 403263818; 341560608; 150555650; 904236288; 255222196; 808047449; 806616617; 7087873; 349098502; 165009575; 346438575; 251045878; 249938882; 768019308; 864558315; 574583620; 203760415; 187395482; 635040581; 352142599; 594549664; 914875054; 385889012; 698971176; 943554370; 624545402; 891504344; 946245844; 398201465; 993760394; 737438895; 821166571; 916185790; 650637458; 357212947; 261416824; 177924386; 376975265; 732672085; 344253626; 462488288; 102506159; 519978852; 51779944; 868169466; 871074149; 47739261; 826891809; 124483958; 161501525; 75873342; 190160279; 890114857; 152745915; 291548222; 81080677; 293348550; 121695394; 199677510; 163376024; 261096402; 122946147; 745877817; 144868763; 616835385; 857604419; 146725968; 704056820; 236283912; 439193484; 530573764; 605202410; 766164997; 388431369; 391184358; 26954585; 751860024; 839986598; 709346940; 314170957; 399102667; 641254588; 333227153; 299556713; 364683851; 736525360; 501503364; 259758971; 177082955; 439268655; 279246628; 586075088; 759768908; 161071997; 58569629; 947751459; 968360091; 280740316; 701512203; 226658006; 184111309; 22143038; 172555180; 462707392; 334611976; 520757003; 458038454; 186799533; 772960764; 971511477; 319033556; 946836994; 517925862; 664248087; 605330462; 40400324; 456893554; 41584934; 532827382; 965830690; 985147965; 953082380; 821701106; 918302862; 542953426; 22790682; 587688554; 466655270; 235182448; 541618745; 70519441; 203286183; 91197828; 962825038; 424881366; 858694633; 566823087; 219327021; 242746558; 461415983; 424375546; 40310668; 83359557; 235816754; 225661982; 856527417; 912519612; 530231145; 487326699; 276586691; 755680897; 3857066; 680059035; 799373267; 549407311; 436985269; 27700951; 534444145; 65866987; 270695281; 937137158; 74948966; 377571673; 319808629; 467833625; 682083202; 622072621; 895053315; 476712301; 653853046; 284877966; 787753971; 300484984; 939546917; 527744102; 975247249; 759877165; 837950095; 927051395; 134008188; 74486376; 741814192; 503219867; 250031519; 537439711; 845462024; 288490416; 8676211; 993657065; 194962033; 265634743; 40774401; 16541725; 64869459; 815380446; 969674170; 852699538; 657990131; 778235215; 539225470; 999706375; 492205020; 522172330; 745369084; 707035099; 380100724; 610357854; 783189241; 350899960; 644682037; 452025361; 65583772; 430720463; 412512879; 833421022; 311828991; 996762520; 769408027; 460983706; 9877600; 6744655; 543037853; 623948880; 36087308; 39443160; 192052802; 666000834; 346414931; 539725506; 253887598; 568888953; 870503991; 670108679; 885638533; 788054968; 305416405; 451768046; 123305268; 164999777; 267386647; 601993671; 956971664; 924763918; 90590239; 784240385; 119280600; 601460970; 815223629; 765363625; 600099690; 808656561; 175547202; 596887170; 945485585; 250106484; 968815383; 849490710; 472183078; 331111867; 895090675; 653744342; 560165824; 191154381; 285384052; 154000277; 59234350; 196306371; 584412741; 865907751; 659324958; 278635861; 902395685; 896061746; 820152496; 735676511; 823590218; 783455284; 726963222; 264238832; 234642039; 553733166; 934003466; 996874021; 701089705; 64518123; 311906857; 966193976; 183027545; 123178790; 376584078; 566768296; 110559825; 113225090; 294744658; 552479347; 50430503; 505970450; 902943670; 569024286; 924716818; 926294184; 521536010; 753329880; 365433909; 573032704; 631040776; 920620340; 129803188; 316673594; 991931916; 298275228; 861571353; 908061327; 905927623; 660303795; 264357542; 627994033; 387320686; 644853917; 59716024; 358997283; 646399246; 906992587; 958804642; 438802342; 402960731; 333215374; 499112242; 703144273; 84272422; 64279765; 834911839; 65884340; 828838070; 169971490; 812045020; 450031527; 768257878; 879666513; 351759276; 993244164; 102044417; 747060416; 998157798; 379776890; 130786058; 673668674; 901861190; 19661974; 209966186; 959519713; 784405710; 514749493; 845228835; 813249156; 627963045; 803781032; 408988559; 244063654; 113017032; 349551196; 886102365; 794111053; 257951391; 178797380; 598688206; 879276586; 24751076; 297479872; 283270622; 334225042; 218845081; 253605645; 94299670; 254484595; 661047011; 393203519; 723926514; 508231472; 586246039; 412893418; 550176180; 546046282; 117252519; 542244402; 333429535; 298359336; 922399879; 95121038; 605628108; 437716142; 364320915; 649356341; 509263547; 908838012; 534123262; 586456912; 171487373; 327937119; 95443280; 108950052; 751263299; 204560740; 942985312; 720842742; 164618259; 268436560; 418323862; 138097014; 336923533; 523102144; 191583605; 610219873; 907022101; 832105517; 866041233; 53462664; 588285270; 884886305; 261788837; 487070391; 326166270; 679854079; 527711497; 705422764; 123087942; 628944978; 203751044; 220054470; 45154028; 184029547; 886890351; 870603640; 270508898; 747521893; 814920149; 699644954; 972356759; 429635179; 418242937; 323092032; 436040887; 283357846; 380304967; 16214890; 237552788; 388132406; 891897266; 54128994; 647660653; 843456082; 984419693; 100043178; 283893990; 33756145; 627711187; 267399634; 976676715; 691458827; 985264394; 324662512; 687530586; 949658183; 766189733; 694306043; 755447547; 248187956; 977574514; 523026187; 475540919; 426571973; 764213911; 385467764; 364244654; 240664322; 522213575; 912765460; 600905238; 152723868; 590595602; 734474005; 996163141; 746805230; 532573161; 489109845; 347127663; 598166782; 769902465; 198840919; 481068029; 234542067; 920387094; 864255459; 828274079; 442870841; 141858880; 603882557; 77558380; 836789423; 624316351; 488838321; 279205715; 820672542; 449804961; 420333953; 691432914; 35053409; 102941324; 119043311; 185083685; 819293739; 713697593; 455988577; 4876281; 892906703; 457239572; 315998819; 783011132; 160821517; 629171711; 698477467; 337687049; 605192005; 77382360; 703527730; 277297745; 359038982; 914104139; 658154920; 492081770; 484307255; 302796981; 148478604; 775169310; 667303975; 959313300; 917701187; 148562083; 210352090; 626217599; 945015883; 710543134; 939074431; 325523457; 577183555; 942560225; 75730080; 711523446; 635633438; 168105511; 296971077; 687848331; 687748475; 352037246; 500478179; 775367279; 132184556; 173786431; 759800814; 408107070; 81341598; 669657930; 906479453; 901376421; 552978852; 647117144; 566214490; 320069188; 807215899; 781786813; 333305064; 974376278; 531383147; 381730159; 312995539; 592831843; 10072067; 695328369; 252402332; 639597500; 255165229; 797715658; 860976404; 386654985; 541467068; 912052151; 582076002; 671600109; 156645909; 199947497; 889515222; 508593627; 946077164; 369159304; 175092532; 172696022; 732310443; 170150250; 315017783; 988034364; 157839988; 801945276; 471314692; 620907268; 702054206; 856046470; 771424946; 979309613; 964631592; 992054302; 548709587; 881764633; 863068128; 435882412; 1852416; 164315172; 491957896; 788044514; 397498534; 680762352; 998744468; 822436132; 384826046; 5620569; 34353125; 153710568; 273875542; 135854696; 138966699; 445243932; 770762567; 166956041; 383440391; 59318132; 100353506; 923414871; 107618212; 523517719; 129748702; 717413290; 943278873; 168609636; 462437596; 93981904; 879689929; 623522731; 332674062; 107675078; 503350170; 420408437; 893046047; 617748031; 944003971; 668201338; 423982176; 252739019; 662555634; 211361393; 122831564; 794467997; 214752295; 659709420; 960772852; 501467766; 327316822; 431438403; 965273976; 576217216; 658267775; 665204375; 916332754; 742581083; 927306345; 327174909; 860088976; 476965288; 193653543; 23309650; 573830297; 90073358; 108106868; 25377088; 235735456; 216826611; 435424617; 814991996; 179543498; 15435028; 339627225; 688392641; 912712244; 736306177; 223813763; 937230393; 26193197; 800435677; 867683901; 476586230; 538712972; 251539801; 938588868; 749278949; 791831595; 565931546; 109341789; 480122053; 29134873; 394584186; 1445730; 297599239; 481011379; 50707396; 257574066; 117677697; 701293097; 906643824; 363523421; 364693331; 585241267; 104847617; 971640559; 466530289; 348834459; 892915326; 959568463; 962484035; 704810871; 879791457; 92065218; 91197459; 611322879; 173906089; 590907422; 491780867; 657742467; 275766352; 714829459; 246021763; 861380600; 185273487; 627757424; 991169442; 896747186; 874989408; 940128179; 107130827; 529364463; 886339571; 323612597; 669351565; 244667631; 711147423; 888069489; 810386388; 444037122; 810529196; 543606489; 167594281; 451785312; 70000250; 739382085; 596913228; 423665291; 866716583; 720126987; 252224767; 142518073; 977550432; 555799186; 91058852; 760572969; 161357030; 891828770; 6655443; 617438839; 484235838; 269142134; 833874929; 356527967; 776231571; 529819431; 884326244; 312485764; 838344573; 687999567; 836696831; 313829265; 110326339; 974925648; 956255573; 606864754; 372043752; 616354889; 448435351; 775272927; 692964231; 43516237; 325250388; 224477996; 475063511; 831884709; 70743865; 541543006; 292358299; 535266294; 659948340; 664627898; 53142386; 739801719; 606460217; 961914158; 191332276; 387203008; 397750259; 111833269; 243962527; 267060047; 319306591; 61608294; 563840708; 172989520; 7242417; 807143916; 125643393; 329733974; 786095262; 242481676; 563003378; 429453132; 222062050; 606204872; 212313453; 258875124; 160531296; 914535210; 988984797; 94142069; 597477091; 611761601; 578340510; 699397635; 534275242; 54276460; 551769811; 127590179; 852779743; 89243852; 960069743; 211319213; 460559998; 801426476; 325283407; 655340436; 825558121; 801876872; 930874439; 113375210; 905649598; 939602777; 612403731; 871979248; 755677349; 686174232; 791205623; 143599087; 787647267; 80733356; 899007344; 691152908; 214509185; 43803905; 810455755; 501567843; 897430196; 702502492; 349459595; 361298264; 795559208; 479416249; 446186735; 114998754; 798770877; 858526750; 853310892; 78547174; 641895942; 718663621; 872265761; 186882876; 326071555; 384473149; 882649147; 269862764; 194661254; 12757321; 626628351; 196432143; 479915780; 520252438; 246026292; 685544659; 294032334; 541607500; 880068714; 509320717; 681134976; 968008730; 33223756; 299981609; 701975447; 541705987; 797641114; 298944689; 727233460; 825740998; 749508682; 509643038; 208136873; 237300739; 371232536; 582688389; 575099407; 50754795; 663731682; 455945420; 393675836; 103182220; 967249877; 144741488; 242423436; 535324498; 629630384; 775572129; 524024243; 852144918; 695825377; 774986085; 974591567; 756165631; 258025996; 728557475; 136682845; 177858719; 260070327; 879295966; 503164547; 321018696; 659941725; 939691702; 278337218; 144780641; 962952600; 401992382; 307922801; 997651806; 70399502; 777332975; 407915225; 102836027; 251508777; 448496919; 382121097; 857641836; 179210187; 598077591; 979421303; 636311752; 258492197; 676574743; 712759359; 507091924; 441376310; 125497789; 550221479; 641226386; 448843600; 712092621; 779041174; 88389270; 881279749; 667616233; 917141349; 510061687; 314036313; 16586647; 415096765; 618916212; 209668628; 175802687; 457052152; 267936141; 789441161; 548049068; 545407340; 366721025; 173931187; 827021172; 634024038; 17692917; 667908623; 932881476; 662595357; 977537435; 836086199; 174067021; 275937452; 811282001; 118350161; 5322931; 958641017; 529732382; 128236388; 745220834; 325690647; 55958690; 97203653; 752041532; 622217053; 629900069; 950751916; 733723303; 956513129; 7907868; 541438757; 799296966; 986944809; 633859812; 494304765; 16554912; 679897361; 83316573; 17866320; 375358794; 336122645; 344179367; 478404039; 177672946; 558771145; 559577; 194874303; 340443655; 784337535; 421609301; 635755654; 379194589; 564788253; 919090518; 978893303; 417393740; 70419061; 672502643; 341858533; 554021501; 992479350; 199925032; 927009488; 440503682; 548852319; 897823599; 185157257; 796752211; 410108291; 175314778; 227928428; 558091605; 231408686; 314834951; 215832948; 475339558; 202673651; 405405586; 970798565; 559823603; 145576384; 183694740; 137643450; 638857338; 444682747; 441925413; 849856713; 840483936; 772921804; 439097456; 673541786; 652081022; 278141875; 606795047; 618201514; 234463000; 743306438; 559558853; 449499604; 653682753; 981015357; 532038782; 401022134; 436293158; 711373005; 510549040; 278746421; 165598794; 404706834; 80300914; 666319320; 498938346; 839459094; 858091942; 375510425; 58819998; 453646864; 512266131; 745576673; 738582559; 501819774; 609815977; 269248967; 723257163; 345316929; 533190455; 879156363; 871275594; 286580132; 226389380; 618211375; 50444353; 37008864; 497196712; 431927953; 287007658; 944926923; 398002342; 427745904; 897880282; 413228618; 69843500; 567839008; 25644904; 103004312; 692678476; 524557032; 560078779; 379815034; 991039148; 52059168; 393851503; 632372225; 206461319; 482639593; 664459007; 130411793; 794030187; 568381968; 903836573; 932333026; 402480283; 994983515; 930359407; 953290276; 478586455; 732264931; 481179807; 978630828; 408059644; 214974704; 747156890; 251227236; 38112193; 875772566; 43515470; 171801081; 446328520; 808474317; 718866866; 953870522; 661848417; 352244885; 947207427; 951214004; 538418310; 877025821; 559721137; 7228886; 684355936; 554703179; 901703587; 858465562; 256617271; 423635916; 454654210; 612217753; 892325828; 20559458; 302611046; 967805483; 961960960; 201567358; 242614457; 633248399; 379094921; 868977326; 708422348; 947869623; 672604054; 6446828; 88179527; 805388645; 677329900; 15651987; 648852228; 473229600; 783528682; 781290557; 690864122; 213567855; 717488052; 103662961; 860370530; 538237342; 345883821; 946084249; 723653106; 529065226; 551129738; 312797108; 518805624; 270225998; 34871024; 764011692; 948868441; 527132448; 473590338; 788366745; 884189515; 470861997; 220783209; 691421209; 59297726; 590599480; 994456381; 491168179; 517597160; 102725064; 83887658; 419889115; 730365644; 939355348; 554712596; 338704774; 805775136; 208963416; 450831248; 176925848; 300172088; 123407976; 983391596; 451300119; 71853921; 518828896; 62581166; 128081308; 989590415; 824614220; 412680904; 61377677; 524654150; 975331274; 486554354; 216911344; 348726246; 186506810; 747667201; 410153134; 901629515; 325508620; 308367977; 517868643; 73118853; 241744146; 379501625; 683379902; 117047358; 956184967; 717179501; 698554976; 169791067; 550332291; 331181916; 107759440; 982980276; 263149790; 586637722; 44119416; 461532420; 419061755; 711202727; 185056643; 599737747; 158683327; 758769154; 305004553; 595050187; 654417844; 81745168; 52727236; 981432108; 894187381; 455900713; 239558999; 177024491; 972782403; 692129605; 413343028; 719188459; 672063039; 724958193; 562562640; 556841811; 793129625; 363407536; 234635191; 324192313; 509423090; 367103293; 917475156; 16455836; 129223589; 407005545; 535910401; 40448684; 935403525; 629899030; 361726731; 678614049; 864371951; 528031093; 377494023; 171770081; 205014221; 596125236; 604814963; 43595962; 628379630; 862301476; 801188185; 507499080; 287994922; 632303504; 722196062; 873160048; 669354230; 11647510; 825426713; 682270082; 309409546; 144278710; 724142323; 835264214; 32402806; 371829099; 337915296; 240303033; 210389152; 968003680; 754739543; 621731936; 456985803; 9317204; 87755611; 110863501; 636503295; 358003208; 826308307; 844101178; 418134666; 306514828; 768088082; 745381186; 486807537; 431999794; 487169055; 786509654; 513986228; 133981400; 526772372; 486204303; 302109835; 813305258; 401356178; 57300504; 204221663; 950247615; 103973026; 25009885; 148691899; 627004598; 397519712; 840122292; 591760747; 188869017; 165051914; 487977904; 202753296; 524582812; 29855096; 237424047; 15012675; 312309348; 171069733; 622196327; 444567184; 668742741; 372267088; 696017488; 732756648; 816076129; 153908772; 890981861; 907866277; 194504781; 11740086; 60274378; 904106198; 202131772; 175066337; 991388360; 584317066; 963179613; 398430259; 353092873; 541909489; 401147621; 347518268; 535681605; 662066595; 672934042; 768581862; 200944880; 330738237; 761962514; 922740785; 765710842; 283582997; 149652225; 511514663; 315986010; 602501717; 414461739; 322233480; 839211546; 902709117; 579969092; 959629362; 882900643; 96247250; 302690537; 146278538; 286869891; 31829485; 875397916; 348447783; 829790434; 127727527; 41213231; 798416246; 264968258; 902223912; 628801250; 858811373; 757739461; 285810012; 368205443; 539974414; 483391630; 281754463; 935601390; 541043992; 884330520; 133731753; 936152308; 822079165; 749982410; 465350972; 25453918; 400760525; 999461851; 218482853; 60120526; 347296180; 295141487; 299465626; 385711015; 210669745; 2406984; 581461398; 316736126; 185508777; 785946804; 44382874; 364153762; 119932291; 449531271; 950812167; 640221454; 154498907; 411199600; 125170517; 958399459; 38852681; 430498337; 159357346; 553272429; 190270430; 506372995; 322647766; 24493640; 864967126; 557140536; 735242101; 233206806; 562604940; 609917295; 767982524; 175131199; 204017970; 228656675; 5968437; 790676845; 907371286; 376778287; 22503101; 941845307; 724046408; 432318378; 902864102; 837498007; 181608220; 835583359; 330665622; 28135972; 203681453; 188635450; 450526496; 975637366; 795804730; 595055172; 54788111; 376449267; 608718002; 92100690; 474937331; 72663143; 486087457; 254965026; 90601139; 540827028; 942456318; 516309593; 796203920; 813463719; 949107317; 196189261; 754736756; 21704855; 467075695; 509723251; 48553248; 195898949; 393846852; 630074826; 457640585; 779059529; 286912159; 174034155; 626514365; 417483310; 620994945; 645738224; 934700234; 53161576; 756906045; 960164109; 350152456; 995389655; 148735919; 345018851; 892339102; 282752334; 20109577; 844674620; 508695186; 355785954; 817728608; 610887938; 273019979; 327299331; 486225843; 701034576; 117324744; 372504065; 784051834; 49237352; 559975004; 517642902; 662451758; 315568959; 375088931; 72862305; 617918049; 315003345; 961432878; 622346229; 322532032; 627716689; 944159676; 592476203; 105363703; 306813613; 146035413; 654687315; 553803987; 508951543; 93643531; 610790152; 533072128; 519374868; 564851180; 383209221; 387801705; 231135326; 239174494; 656868544; 618739913; 747048269; 137378469; 291642319; 578122856; 345644903; 215303674; 633574869; 627455956; 101615137; 951459439; 858693982; 149047132; 585831876; 560873857; 675480432; 307727646; 988865255; 823044506; 414528567; 117505124; 750005946; 43758862; 619597098; 596284793; 50922465; 5016994; 980230395; 257499346; 32752845; 575268590; 59610119; 858348210; 360778691; 315087567; 562374336; 940801329; 130494738; 391568964; 949938361; 60563185; 764092671; 301283620; 720388956; 922180542; 5258144; 879056921; 864766825; 595574996; 993643527; 398279558; 91422758; 839461445; 507638893; 137552906; 38755041; 970621522; 398205125; 963346512; 292727734; 553999911; 247007502; 205107784; 960423102; 878302529; 805647546; 861820533; 29267418; 52875423; 957082154; 625136026; 230570210; 993549439; 941894834; 391629385; 895675980; 907738630; 891279331; 32434058; 247120356; 342420306; 51555521; 11692720; 371674013; 499468091; 237603582; 117802813; 830740863; 361224987; 172866755; 240390964; 663787922; 983257894; 827053225; 487398720; 527138164; 432837246; 131674771; 288879602; 923139386; 28041449; 312561358; 156906511; 272233322; 496632542; 916557813; 8349736; 628027020; 691561357; 585798449; 801549714; 915072552; 11912336; 992790565; 865703833; 830466290; 303330678; 881549796; 663354181; 48136280; 189276270; 591708726; 160875661; 876328276; 121224716; 538139109; 205726075; 152531397; 181543049; 604279424; 764405271; 223953415; 933045311; 562468955; 491417175; 422564755; 735592695; 643523627; 444012677; 420818224; 595191168; 521966112; 764586243; 830044124; 826661557; 669660053; 379316438; 256963316; 649261511; 862369214; 457851475; 762160804; 271773378; 646445289; 690099114; 363543151; 750620967; 354424578; 959015548; 168198264; 231724811; 999744020; 860055474; 77484536; 255259854; 76634582; 542112930; 351483049; 646603152; 814819977; 913435179; 915633398; 824602273; 99803957; 554319045; 77731927; 602053829; 259660713; 160866581; 255203539; 397169253; 859240739; 743925202; 556686610; 579271172; 414291464; 789548271; 22903334; 32321354; 962704255; 366218841; 925026268; 422797733; 234295107; 962264354; 801213261; 64060182; 904123601; 287857393; 397688485; 950812461; 401975829; 813030457; 591481434; 30398683; 257786959; 414466754; 288894077; 475674607; 771923640; 28414914; 896576196; 371958462; 756184522; 389310446; 814912651; 486525117; 51254943; 271551672; 532571204; 778303114; 259629248; 839258362; 506814498; 80175775; 299354503; 248144371; 107897492; 307485281; 536151419; 992783967; 119536128; 618772961; 573735382; 68376771; 929009955; 190198078; 406664648; 120958616; 930411300; 12825062; 799929704; 98803792; 668210754; 281800740; 350543835; 936421194; 780171618; 336642298; 256184150; 657044450; 773136581; 965444327; 64462146; 781634791; 774658068; 456072767; 127274676; 724416560; 321422816; 610113746; 56306914; 620009733; 749358889; 254355898; 264518737; 640805670; 76008684; 456012169; 855039523; 442214833; 538520294; 156298306; 279565961; 967876927; 32674137; 529176814; 204029607; 975609975; 896954772; 818089070; 335820263; 702295037; 502900714; 265050843; 530310505; 664159700; 495208196; 133522091; 167128728; 951711767; 278564631; 71253052; 41028593; 956391277; 905302486; 929532217; 434574728; 91171336; 713326744; 371506685; 58076832; 325881827; 539146852; 631525415; 398082841; 769095414; 719769996; 809861637; 611054037; 57613323; 261245203; 540649686; 236733429; 513086343; 806717299; 840775644; 575476850; 601943811; 896680266; 99017412; 578641053; 829169515; 847015214; 55908740; 376583650; 980542689; 181390577; 859986197; 603750545; 820690187; 112672210; 59493889; 575559677; 518009530; 549255776; 474524751; 963692666; 711136996; 795026360; 457209894; 77326721; 369703366; 506061066; 815841084; 566363680; 865130317; 148079996; 124881135; 870399768; 401930936; 848114597; 732807637; 17927393; 257996806; 264398390; 511061802; 201163752; 371791751; 651054853; 77410948; 259732365; 978756730; 190138255; 193081586; 309095450; 662205784; 615528682; 531271872; 5483725; 476634902; 511194148; 268097839; 736144998; 164214560; 562677792; 744956597; 95504510; 856417102; 887353596; 720262100; 7101052; 931410837; 689192376; 873118600; 289035009; 572369519; 573196592; 502578508; 735678857; 180278090; 292857590; 460098863; 284382440; 252357516; 705435254; 162847964; 78993972; 77126617; 461958120; 519900658; 639592151; 277380959; 527664356; 37969883; 610384187; 413777241; 939805343; 180042752; 181122547; 998775649; 254741866; 676201257; 767889369; 705955164; 226095289; 90322618; 695258205; 644011525; 59712963; 113469249; 606590453; 501458370; 963041882; 271876898; 378416906; 921264282; 282573482; 827427078; 73439649; 701127856; 874855383; 590961220; 149075962; 108630392; 608641256; 980325616; 704314176; 425246883; 939090032; 168376682; 597197365; 178991549; 628886170; 343596401; 126337709; 7554571; 112589084; 359007918; 246062491; 862866068; 114089506; 35421084; 595876665; 924477932; 214871049; 255342658; 39999061; 814415810; 295511812; 265017874; 725436780; 427021105; 139580018; 483380461; 81139115; 549073676; 382012034; 921445713; 661407367; 902102304; 591976665; 362790181; 179734096; 121300279; 966108470; 841593118; 153523298; 976621106; 693716854; 276118911; 526954575; 347892488; 134651309; 20416077; 437878487; 785804111; 756146831; 124836582; 96705858; 494595338; 194702129; 775107815; 226316839; 215730521; 664039810; 861353363; 183041380; 912173215; 34879296; 892273486; 282400367; 517723204; 42605110; 276057963; 548542528; 374633107; 978742692; 195514101; 330197273; 573749270; 125368457; 396715888; 725550057; 736915551; 994267569; 483756828; 477596342; 479444396; 40486610; 292056139; 721502610; 517608918; 682820634; 471078031; 631036730; 840823854; 352702906; 59526453; 14545521; 302520091; 174521734; 452009463; 977065192; 743564918; 499026713; 460275772; 972286054; 603679568; 736793751; 489242143; 307450185; 955919945; 320139247; 908186758; 404584874; 522759903; 248479111; 793561280; 143893372; 594433061; 946316841; 253289561; 736846032; 442935635; 62058915; 498949640; 127907058; 697112436; 809093559; 497834387; 984408426; 600948562; 192023813; 202233679; 192921193; 406215458; 480617311; 455073941; 45605782; 780842075; 164715106; 841010608; 861443493; 316857479; 366216857; 809527122; 11470977; 730411431; 970280338; 266301363; 263241352; 873537252; 6077464; 983727980; 521156667; 231978387; 105692871; 706180450; 695777432; 189319175; 861750585; 16352268; 497474279; 258577967; 578037511; 710213063; 205769460; 334414012; 255845719; 918882547; 816769047; 709325505; 797952467; 533798067; 731811428; 255935108; 249723484; 793757932; 677682358; 358832579; 274966374; 94727662; 382865002; 69803861; 666826737; 54272767; 537198865; 233173019; 595428530; 592013288; 226278179; 581275474; 746732190; 781592446; 817827649; 368060376; 650567824; 847504534; 51738770; 94597894; 637981032; 694493056; 422959088; 460599721; 157215362; 672275103; 983928719; 943706205; 69591292; 952986554; 372214911; 911774341; 995092635; 117802691; 141725951; 891298644; 234637300; 926751332; 414698587; 843349266; 382262656; 866782419; 55889861; 517910798; 941426939; 203009710; 456957282; 251244144; 784114946; 247350462; 128720747; 679408113; 755255895; 644340526; 560691636; 89584655; 33871593; 973209354; 835296607; 642305236; 425250749; 954190097; 33952287; 471328863; 702950817; 107855375; 890293587; 639385460; 333957130; 771289246; 471681815; 533086663; 119987395; 683817348; 219217039; 748668964; 995212213; 208403339; 156855171; 576549959; 238744229; 920795341; 351159002; 813739772; 985078560; 438343227; 603562276; 934070811; 420400527; 774930695; 758798996; 851545351; 48928959; 997376116; 606403486; 256516825; 68850457; 354788115; 471515700; 426292710; 884616058; 119917684; 784698588; 301726768; 349335280; 398638442; 655375503; 903944328; 669734964; 250037089; 911777200; 639332410; 551410025; 791667505; 603998633; 78239619; 209128864; 655831219; 5043918; 304957607; 550534882; 576670288; 888484262; 799119897; 210937734; 160027237; 223239315; 508435028; 771802922; 401115999; 328444905; 437817055; 560049792; 461768353; 451492661; 379788286; 811216722; 670740185; 279005274; 80182467; 627159416; 859393261; 424865080; 652014790; 93659125; 149769258; 356105623; 548495026; 814155731; 760595503; 111058190; 110655435; 607424794; 460530526; 887888937; 120172909; 419419781; 135671669; 975010152; 168875433; 492806129; 377242073; 740309765; 804749648; 207632229; 389707995; 532845444; 277803518; 176432029; 49836901; 698787384; 747108481; 895496364; 304798001; 134586559; 274990157; 479681769; 632605384; 258587637; 973626290; 124429481; 893130965; 454248526; 284590651; 571581398; 824288374; 410763591; 828535513; 202505648; 727415352; 169719909; 227253972; 501754114; 987357642; 477823866; 468272496; 518544315; 410954317; 47537949; 533792240; 436697554; 818805982; 453136928; 598579543; 494105029; 600796109; 972457429; 293862581; 747560030; 888382886; 458566653; 258874668; 456627482; 375014693; 324096660; 633836940; 440434490; 868729782; 302243493; 139908389; 576203677; 647551244; 522393231; 895388027; 345256188; 23417286; 489928795; 817085884; 746545209; 654329433; 770638836; 808020201; 927038168; 215487305; 579717611; 607039030; 575417823; 227622358; 303900789; 769375927; 971496213; 289770230; 436033357; 518817680; 509825334; 651660491; 728373804; 666374795; 393888885; 872659877; 974071296; 691766445; 575175949; 429804200; 232455844; 801897623; 117256747; 842636587; 175690347; 557679644; 189052079; 552962276; 524062649; 97889546; 902449314; 301032276; 486948332; 90955054; 869183447; 788815559; 730854370; 400592285; 216540251; 709043204; 930072590; 156780989; 29576710; 230575816; 146602223; 364797828; 814884376; 797309327; 237629030; 293477716; 360775756; 63665792; 873142416; 389826062; 960679113; 256301651; 508840116; 708479237; 273061405; 771145108; 159355675; 499448954; 243573910; 607861145; 645973778; 231783828; 141515968; 776087307; 266841542; 300112388; 814061483; 813729892; 383286466; 769370420; 377014219; 260208484; 957069003; 766118946; 991633449; 680644149; 782789191; 652053257; 296783991; 234416091; 809458434; 711416567; 85425245; 483271535; 978388468; 714571462; 760554747; 805069905; 5606514; 89244345; 82346900; 637028448; 722314143; 982816547; 99803234; 44622874; 194500949; 928970600; 293292358; 550093273; 250007047; 928237002; 756671694; 534300462; 32646962; 838939734; 712556580; 613508750; 94874004; 487271893; 990167259; 102121266; 826956466; 472115392; 227764930; 59550664; 374949125; 141692069; 906150732; 36267737; 835630387; 285807370; 835300667; 827126375; 173469168; 307528119; 113234152; 800552292; 942300485; 56669459; 591643316; 531187705; 805442367; 844302203; 224892316; 349930384; 775314954; 454643684; 608521508; 778942650; 776476991; 938214193; 744290280; 604862014; 547109464; 898406584; 393518465; 995087164; 663268465; 262112309; 363754020; 477473771; 398464182; 720396620; 851560091; 271692803; 573013419; 470149433; 680655532; 104818721; 164364568; 573771236; 897132771; 748505643; 368798699; 377892031; 567130; 55859335; 692738346; 584314050; 876595508; 108783381; 387271084; 982932212; 892641066; 201987154; 397295112; 753755474; 305483726; 364343177; 545186164; 548266634; 976890532; 962690011; 118804492; 448126614; 944830570; 56547954; 337604248; 956231830; 660089070; 384869801; 477971664; 95318411; 164393552; 869821784; 925108665; 359903576; 4849009; 754045892; 227184540; 836495952; 805809058; 4679196; 464770701; 730079138; 895019447; 81199570; 244273753; 83659996; 840433872; 314829498; 169279104; 395576775; 989592780; 687782566; 520648062; 268744013; 46448012; 931745978; 90221225; 525028094; 774970259; 843835828; 693364703; 820224577; 596913921; 522466403; 439020277; 180925344; 626438788; 863946873; 84505559; 358539491; 267999778; 450362962; 237317920; 546261134; 645033897; 388325504; 34205937; 810267591; 798891251; 778468690; 715785097; 888035575; 914325868; 427653155; 780911249; 637458334; 293346522; 930873792; 679875871; 275977736; 629010489; 368049440; 495598221; 122370223; 358307834; 112971499; 643379955; 50679170; 116665544; 661946540; 50229316; 573484163; 415394339; 336993480; 365511242; 16035553; 718892172; 488897489; 109822658; 545258157; 147854984; 178387432; 930568030; 159055667; 253487834; 750616009; 757846358; 257208663; 934419161; 689767548; 483186660; 722185861; 585310325; 126315604; 2583880; 359631844; 186682051; 718202108; 980012495; 766486654; 387306634; 911209278; 735544321; 320820227; 208071328; 704275644; 398507040; 40411739; 263186021; 946349834; 330641455; 290916211; 689824446; 754870696; 341722598; 146037384; 546654725; 366997915; 502349425; 568407446; 284980915; 143880057; 934685262; 705491185; 141487753; 321186801; 266271454; 185181335; 857189647; 560755103; 127699290; 238950430; 952635620; 968198655; 302041780; 291592258; 64530486; 576218945; 449676918; 137280061; 657165710; 662865107; 637538543; 459906301; 759821104; 315543270; 587318215; 333820907; 713500128; 910901919; 449244971; 293674973; 705383583; 265175961; 36118566; 199134601; 422561856; 660621343; 718166710; 860952834; 868949805; 491702025; 621053336; 584301808; 315615171; 111695361; 344729624; 314257027; 141652065; 18646987; 912206868; 967684290; 297802971; 17181104; 68474486; 580122736; 5969378; 521906999; 677061894; 421987951; 903303563; 137235517; 165624820; 464948645; 166895181; 943939806; 834673676; 948286049; 17758899; 532942141; 312576708; 508548860; 991803699; 606036366; 862857769; 142758377; 646305224; 296620679; 9500210; 622921512; 758453611; 965289795; 834533157; 361979435; 542251335; 630634504; 890822267; 165983170; 583346324; 855938726; 733250840; 753983179; 488741817; 593290547; 825117013; 593738708; 517456207; 146427374; 728712280; 863558124; 352348641; 385656737; 551001005; 438611489; 922188678; 123121348; 282342986; 342538182; 215668537; 101223111; 945671168; 164490157; 737381402; 251465805; 624666322; 964714615; 362587115; 585722448; 789016579; 916401902; 184415571; 42043198; 400959678; 190056902; 515590997; 714641854; 863817663; 137922231; 644552466; 427273246; 75534268; 655846160; 622726664; 972001775; 226570986; 264525915; 787612814; 182478617; 438748550; 516735491; 879927395; 788557710; 804793328; 45798591; 267188480; 294993046; 708936586; 891149355; 780225822; 366454319; 645568883; 481469336; 742061754; 759101867; 353758339; 960252966; 52443770; 652418954; 461299219; 339018950; 498385635; 660473693; 375019357; 517510871; 577584317; 321504794; 821546748; 222442344; 322733018; 541437927; 997940056; 190125245; 994650878; 183480572; 252822170; 212988660; 659723836; 660076136; 563708746; 716546319; 560616528; 552352722; 293873851; 872432692; 859324936; 377847974; 931864878; 607892107; 176540761; 452427134; 51293411; 508209391; 98668425; 83779691; 317840737; 708736647; 982351450; 610395582; 917950956; 769592638; 485224719; 226449750; 227559115; 509630142; 961868940; 694963042; 720780348; 480890342; 630699963; 210700043; 428792767; 194280778; 562631381; 913921988; 173082321; 926120386; 29632022; 635579872; 52068516; 54965636; 182816115; 541031348; 525016971; 102128987; 148062078; 123179108; 473539399; 27869688; 855085227; 479247596; 734783130; 737145052; 210784858; 904167620; 412422412; 106903888; 345246844; 976783385; 900389199; 859028698; 961420601; 854734922; 859690130; 772586926; 69001700; 30639881; 653668664; 657206039; 44443131; 741944224; 921055394; 112715683; 834456051; 657287390; 1030658; 391822988; 505533534; 327761673; 989395665; 816649256; 296678881; 614965122; 455946144; 523614012; 449460252; 104496629; 348140360; 283946882; 736151536; 466554474; 368246523; 587883870; 136153616; 797453832; 319435921; 596073109; 989242815; 919164101; 775163847; 383667661; 381073960; 370477531; 287393946; 370492750; 559398844; 339245000; 858643741; 497028477; 64836380; 279140607; 47796429; 504027632; 990135795; 621238694; 850632490; 937715798; 838669212; 767588179; 95325395; 570296361; 811002509; 178258960; 259017281; 725171311; 422049758; 848676516; 514078262; 606801302; 595768936; 609926199; 615626472; 587892303; 456765476; 115902432; 843189920; 552435087; 13990796; 199540635; 92207234; 569923587; 132524807; 327829504; 356239049; 969722812; 626877747; 500975107; 816065654; 364273931; 546770134; 942002419; 330951136; 605083591; 657612912; 734665795; 204218708; 245721612; 287327962; 535510252; 530058540; 166694063; 735748306; 816830816; 524906400; 334980804; 550643022; 41789410; 702410642; 48230091; 954255156; 465149796; 167643298; 52438898; 190867379; 410780391; 731599185; 4090987; 560010343; 90027553; 743166011; 574749040; 34055007; 470931080; 622407903; 640747350; 993308285; 887609471; 599434895; 973691677; 394642226; 48590054; 865284653; 774751435; 440313776; 574652083; 108370211; 398026364; 724495658; 469573485; 799251033; 505507372; 156655341; 892118705; 57668409; 420791399; 131473314; 946664708; 240247861; 816019097; 353183837; 821950715; 288132308; 71470263; 947224665; 512004800; 209325625; 732840130; 897771831; 750002142; 800261464; 66155885; 218811119; 742841669; 957339326; 44007707; 996528305; 820915345; 737741325; 137834248; 733127788; 808904015; 442408401; 362150040; 278050636; 607110708; 339149538; 309745923; 348145844; 893260856; 986886650; 301631738; 460686593; 361080017; 449552964; 882513151; 455196565; 661645634; 756748966; 290731437; 514858960; 300104694; 323475811; 553196688; 584041730; 193205293; 965926351; 814857170; 699872286; 437647557; 402690916; 694086813; 107793168; 895173665; 433048522; 474078035; 973636183; 229390083; 492427246; 590684709; 483698619; 2940872; 959885270; 566203366; 330891852; 637761937; 883882686; 486972064; 81865364; 568491113; 925870821; 87567649; 454589664; 154114431; 73040788; 180454152; 927251905; 897183620; 834516102; 220089923; 766477533; 369094913; 548405457; 953417908; 506514986; 322681457; 290704619; 284344000; 616508682; 392277935; 125020264; 371732499; 386665706; 486053502; 513920805; 739873022; 949758922; 727035544; 103583570; 781045231; 153547052; 848798218; 672111278; 646637583; 71495993; 715327297; 994571871; 271547140; 469756028; 913229707; 966210041; 424682353; 678531305; 700147971; 757377165; 218249312; 44967346; 216718328; 616834613; 181268831; 694039728; 520468977; 78929261; 853274255; 768767094; 454187051; 986193840; 32884857; 980076344; 115443135; 487807666; 812450272; 565501521; 605597612; 751533555; 137399182; 244259858; 435047161; 10334748; 587368167; 92590756; 529758255; 140794966; 581810281; 86799375; 942139969; 913997089; 38282758; 598810991; 601484062; 456250421; 568408096; 67309113; 338233663; 855831951; 351425551; 217983886; 835249893; 668740987; 437989023; 503911336; 24796162; 885742192; 79565977; 332874901; 825458177; 843138969; 864621720; 249434941; 405504075; 641360433; 556431557; 143843593; 47154079; 777801356; 689022128; 963975553; 327329945; 200992624; 491024909; 727536872; 728000602; 61106224; 511853470; 881791636; 195433727; 393674581; 543638065; 493004211; 161704992; 127743858; 667176728; 524707177; 807156591; 235309762; 963136467; 988589347; 852876491; 701177983; 177596229; 117703927; 419263978; 746070350; 558270435; 536163174; 87589174; 981426978; 49455715; 986877700; 88223199; 83738671; 199659149; 106733555; 582417773; 594415209; 760784600; 103284846; 864235389; 207237794; 217923570; 821983783; 134546820; 353129739; 929882432; 690300989; 324719993; 328883082; 13746328; 471165318; 287086367; 513691746; 437530423; 587845894; 284308926; 966066322; 279064725; 491572914; 390063670; 532650211; 236612416; 245926934; 18340177; 877228155; 76934445; 494436288; 680976578; 12045170; 173397696; 599143851; 361072550; 100743272; 332276997; 955747935; 136017041; 300299861; 714948254; 263586685; 341215577; 957250478; 876913290; 432466953; 728975655; 267820788; 499963870; 134998110; 712361844; 199045113; 298604341; 730764857; 260533569; 119526652; 879167998; 916434306; 942193301; 558615004; 606366914; 366418056; 890078634; 713417995; 552822429; 655676002; 414804518; 37102261; 369111888; 474967573; 447660312; 214142129; 696735527; 814375121; 927811638; 354498746; 758779660; 639832378; 303915138; 495413469; 574847282; 167424056; 71214294; 500414700; 777006835; 243300839; 935847888; 145730481; 172734650; 39017296; 876666152; 746332723; 806658767; 896997163; 838460812; 103416099; 383415651; 893213433; 55047005; 532995547; 204287553; 277781145; 706176394; 773751978; 64899558; 949394114; 508809501; 854448001; 813963175; 922797266; 241783520; 235590469; 226800975; 52547638; 123917812; 579284143; 958690193; 88371153; 10417644; 891180239; 788320487; 890974927; 345617698; 59420416; 902090029; 846792897; 684971278; 922078133; 547383795; 445917752; 383384050; 38741254; 457076274; 331404732; 935438575; 708507382; 436637561; 483930891; 996695440; 843728261; 705667485; 335045334; 277682081; 283894858; 621651814; 90449228; 594675746; 934180408; 755819595; 573511866; 686671126; 260020919; 749034870; 46080191; 342769672; 313267974; 602768265; 536958821; 907927067; 931328295; 184142026; 338972824; 859754790; 437933188; 454211339; 343944979; 592958888; 519850967; 827699978; 258783432; 138189220; 896654221; 226745110; 751668198; 820266906; 512154911; 531086970; 694348865; 457217139; 415801097; 154851079; 271496429; 721467028; 4009457; 285929886; 26459165; 621466951; 361878799; 960729774; 570912474; 984679741; 656832130; 855256996; 268645139; 822596348; 797811791; 834906976; 22578204; 53869663; 929741575; 866605515; 298103852; 185531472; 519375508; 28853711; 918443336; 561466670; 67166864; 18280984; 279212417; 850917127; 701814014; 344982817; 381320196; 709213328; 329661992; 105559151; 671830958; 387113613; 437747026; 285524025; 839862668; 134624770; 337700827; 618648328; 718834909; 742766986; 826440392; 700345807; 360644947; 500509514; 82218480; 487670122; 646434478; 330708869; 482586566; 959210168; 319201610; 216214230; 989266089; 539759718; 73225226; 904608781; 866799379; 982850385; 134457606; 459327325; 989462680; 587659454; 975494678; 761459927; 187016454; 946111401; 888821243; 124123082; 333148722; 104195231; 319684656; 790507598; 792222779; 717337095; 506269311; 864851969; 240788519; 248653387; 308504051; 65070303; 541504558; 10030380; 476479826; 836841388; 576749791; 876593120; 775082017; 435743404; 347455387; 765316989; 662251847; 638101005; 732563578; 985339678; 289011452; 683567993; 346918044; 85472402; 304323264; 556148718; 261055790; 656122327; 62706042; 91778777; 89311981; 532971522; 350745306; 562950254; 957395778; 586990738; 274543776; 568769397; 939922962; 110094579; 484172321; 521629636; 523533664; 900927463; 612231754; 947982486; 631866042; 855837424; 781869579; 926943017; 430937806; 182545105; 390563727; 801778313; 94278497; 255079206; 645648150; 371267391; 401440945; 789881304; 904538395; 978648759; 990284689; 950426428; 785255009; 662086654; 356533504; 816800111; 749733249; 377640738; 583049345; 165559349; 512788269; 95181556; 555190553; 541981978; 764062927; 220477404; 830984271; 901802749; 812692925; 731530637; 219482532; 547309746; 869905491; 514100743; 545493654; 452629557; 817790865; 936076829; 491292902; 912749961; 407805157; 36386195; 634525154; 900165276; 289208890; 341986719; 839976105; 338336278; 297141907; 620442273; 350442992; 711428948; 421093578; 211296844; 993958731; 386197124; 229721091; 870541834; 332399425; 252391390; 397901505; 491570309; 141325682; 324660688; 427818217; 944224535; 290502497; 480229494; 682790976; 948717696; 970937663; 843713231; 343634305; 5289188; 680320070; 842424097; 680023642; 10553223; 480858303; 387690537; 406301966; 974946471; 474699655; 631179737; 443653760; 412774966; 942368672; 93078662; 408506990; 90303341; 823637012; 444094614; 376478343; 191211624; 766028162; 758443546; 633946261; 732763867; 914969982; 170254950; 875670581; 259407377; 197005524; 924732459; 331465040; 174585452; 850187929; 642583851; 190937653; 327617814; 351644234; 350665663; 18012520; 665629414; 157141786; 837570430; 320589151; 768447714; 654726747; 659985400; 969972419; 143478692; 387313909; 74102244; 250553629; 824714692; 94352337; 560146761; 125585848; 264731637; 712491885; 362919678; 639941958; 646865384; 702063458; 426980542; 275757228; 263347417; 111922005; 36370637; 70274384; 505487588; 184694926; 116826758; 81259008; 473865152; 258407673; 5239706; 847230732; 750640496; 163802180; 223292447; 139649048; 597209009; 305186999; 596195655; 877281499; 173670745; 386262522; 489809994; 169463312; 320209396; 548250984; 802833698; 779547182; 579746694; 656897970; 253046105; 797987449; 389632532; 753389466; 880779712; 318696169; 325021236; 773420027; 203058257; 18285210; 19901511; 390740257; 703324244; 287869108; 880281290; 220847063; 116761709; 676247381; 35267507; 412246804; 662230323; 853546490; 979663972; 959307920; 898348754; 210591657; 540311085; 300080766; 98414606; 33718052; 987350769; 64379484; 94802310; 44792219; 439206017; 803898137; 80201635; 327216841; 954220684; 361994331; 273451076; 398153703; 363469629; 935566376; 528525645; 300682946; 454776975; 874358242; 515452753; 547372499; 119880058; 743023054; 851929797; 241543307; 487342339; 599609882; 721813957; 743872900; 130909806; 196625989; 932199440; 973402166; 795950025; 398277281; 475101519; 220365916; 629779594; 502544780; 727353428; 571292659; 452911958; 723210497; 318772155; 793792894; 90698849; 904067235; 633700388; 229857094; 790302448; 51959922; 113667129; 366229834; 428985913; 587736299; 559694602; 129763549; 788423154; 134739344; 670897303; 402328038; 41038782; 895008532; 531630217; 788457079; 353247597; 855693687; 161664222; 588557248; 800105051; 763901120; 636603771; 492370667; 863953769; 335958112; 278297477; 723068632; 845380677; 995931973; 401432027; 86743051; 825539280; 532144523; 715947996; 880407972; 793180015; 186842235; 848652786; 584601132; 322690467; 897821662; 46844859; 870853527; 962934256; 491457563; 335664587; 978439816; 124712548; 460203135; 964682432; 69428616; 554256346; 663348144; 263224793; 970321471; 626841717; 585433770; 867858890; 22867142; 817135209; 668438505; 754678274; 178124003; 612963047; 699839953; 149343915; 2518386; 629752686; 142109997; 287071359; 732610742; 328078194; 87813798; 74292482; 648297702; 860151823; 578530718; 599386602; 210364557; 167760569; 192996258; 990574342; 267310927; 627839069; 192542214; 311783652; 970970736; 916418145; 974361422; 240867096; 705843110; 42918927; 260834697; 454697697; 355405484; 479460147; 479465952; 762583144; 313215430; 415599026; 29636153; 410040115; 454026692; 177740335; 385167316; 10701418; 860944331; 29594624; 849179549; 5234398; 140915240; 293235470; 752662454; 546863896; 300856168; 901638585; 680570223; 22436454; 180438563; 231338089; 945230831; 622349329; 272079581; 623943469; 192328261; 390626461; 242140403; 37537807; 483507012; 630631593; 176694346; 510422597; 91909954; 186974170; 167659547; 290908763; 710501960; 40668161; 393446215; 309267020; 478887059; 203148881; 442601084; 215339550; 698978993; 653260703; 566072046; 240084403; 110051077; 12800240; 4313193; 883806191; 648022827; 199239797; 703856470; 211180792; 831715398; 609687999; 579557894; 665258180; 209104273; 250260460; 406868379; 622512573; 848343546; 10994522; 203190025; 657919345; 80644087; 965552206; 220424094; 884065657; 106842894; 246052984; 287824943; 341755742; 748926733; 131683691; 559359465; 143657816; 727286521; 438985687; 685059618; 523712231; 54444965; 268061549; 669189596; 919948475; 10925329; 579635523; 666178541; 527492162; 828532198; 43945238; 756208569; 94941958; 237156632; 434187287; 183572812; 587996323; 222888155; 723877676; 206736677; 54940178; 986580153; 481470471; 774174917; 24999926; 762946222; 399281064; 149479316; 639259336; 111127657; 440673702; 624913127; 447901006; 444190377; 281796848; 826093934; 896304359; 367430493; 50131456; 611594935; 927991976; 435385715; 201497913; 351436582; 421448861; 487440495; 679839673; 393678096; 438704551; 381325508; 287169722; 237903995; 595222517; 310172320; 552771229; 330909376; 88650017; 172490692; 41399368; 439594118; 535301850; 356431300; 400705498; 873822525; 922210872; 759218545; 438576294; 888340185; 181079470; 460967033; 588974543; 133818731; 960904505; 166002680; 694292641; 73554581; 471365694; 587603773; 104766887; 329834426; 345651442; 121478764; 616859833; 358149204; 929207717; 848664033; 80379821; 698719520; 435980760; 241682195; 480644775; 99954636; 571424101; 189841044; 783806869; 780927512; 485914986; 871856020; 562602171; 727557040; 300823292; 128994397; 942660645; 696814648; 776446798; 394806849; 699966813; 870273618; 253405396; 61526336; 847171887; 317939955; 807189858; 326213245; 935265200; 136477125; 615984552; 558988609; 825904843; 996989454; 166345195; 338763009; 774860209; 470599328; 736143068; 456125161; 190721065; 642756197; 648538105; 769103356; 941656308; 775923173; 638351277; 41068850; 754832028; 489884274; 611748130; 422911874; 157604088; 760804465; 446420275; 629336200; 410630443; 5265606; 929240986; 72875215; 501287494; 415588899; 891179687; 821601673; 488123556; 890322956; 192782033; 986138890; 954064636; 637713465; 229730569; 643012900; 83715858; 934535652; 229679791; 231405231; 834837539; 650892426; 826041207; 480133028; 94085576; 630623008; 584342159; 281838339; 704775720; 427620282; 170858497; 391476850; 448879500; 582546058; 383978145; 968746288; 433654178; 716129917; 710758093; 58530496; 357952895; 708577626; 794201013; 293295188; 734214003; 6982465; 779040325; 406734072; 839745480; 76710636; 36719612; 736817796; 157971575; 753570076; 721525527; 938872220; 235491071; 311900255; 992637244; 571911982; 831519387; 703174812; 526163873; 460787023; 661670129; 63337743; 868632562; 877521026; 684096410; 955394432; 435616721; 438442308; 265485524; 312779316; 216382548; 847323780; 619004355; 728448408; 877960851; 687995767; 314530507; 744533234; 350580413; 568958864; 211959544; 506924665; 781093571; 825444681; 651590644; 155166099; 660855920; 945833256; 427493200; 931789237; 9990374; 927504813; 169759111; 653739003; 227274636; 589835541; 211097203; 800195886; 123370551; 206571626; 861813933; 458018878; 335361380; 942942077; 913315986; 222762739; 734169259; 404032353; 296161952; 453563930; 571301492; 277768389; 292913668; 852379827; 347178776; 992846086; 871177359; 282076557; 112018226; 784279879; 316897027; 364259228; 339200620; 645757912; 491593549; 454667804; 950191275; 524797093; 921106395; 578182586; 916698224; 505061888; 484948266; 159557474; 171812207; 778384706; 804760988; 94741258; 152653137; 35544750; 877025065; 588580548; 451725442; 789546873; 818574586; 88321255; 71441800; 404960023; 624030855; 847884267; 641623047; 742208344; 612975423; 364270633; 437080854; 487175359; 401274220; 612376426; 853995062; 797862558; 764201968; 27297369; 82215489; 100297733; 844447871; 360720329; 490222650; 505051968; 436602253; 317332571; 730757435; 106997514; 362527989; 623750056; 803900527; 995381898; 600104756; 121512467; 993724939; 102976123; 787292490; 148233709; 239475988; 671264854; 415489565; 605253474; 447857891; 2219245; 656880787; 742089881; 305152293; 931320391; 849585608; 916043366; 186969269; 874305529; 440293359; 890459180; 732586442; 430762872; 249858324; 133568971; 572187431; 649502665; 411459312; 993656390; 91453112; 196036183; 195021753; 999031859; 409583625; 476358163; 672179547; 175016017; 825731741; 607640606; 781859762; 259518930; 957912271; 635781340; 536115403; 737063649; 355202725; 552974103; 197846915; 408639680; 120653890; 614131033; 666669878; 246916045; 835700614; 331865146; 41452484; 97229661; 169412140; 632170769; 119358299; 577269592; 125163135; 368206421; 858515173; 455716278; 590917187; 518749759; 283957093; 123141767; 40546500; 304286877; 354266919; 513167071; 910515800; 218199673; 51812111; 797831708; 668681237; 507456199; 304157501; 672445030; 388903091; 876963024; 282505389; 17306740; 90601224; 553276131; 588707280; 796014994; 291358826; 124275162; 195583900; 792895389; 778778076; 856157008; 140180858; 712167216; 422467075; 29575986; 226478964; 707512522; 121071829; 324921564; 326022464; 410002625; 233893416; 984911980; 541364462; 408798011; 372542713; 198625437; 869472544; 574528281; 463549977; 196436049; 13053924; 862776254; 663683181; 551082289; 434136458; 340811886; 896518822; 505177015; 582653457; 54714846; 740133752; 572002112; 578033377; 959956795; 715140026; 797708350; 441501270; 937197653; 945043904; 105096007; 640128986; 618344780; 318934313; 712810752; 902923108; 932096298; 554269433; 865429996; 235005481; 776740271; 62876935; 876416443; 844435101; 246980822; 820773320; 4620981; 686414928; 673693099; 262449609; 513164825; 17788565; 159086684; 912339533; 331844657; 136453624; 972860832; 970171661; 711536695; 569394284; 639149926; 366089639; 704674177; 189206381; 695020019; 80283969; 718652073; 169592022; 136939901; 903509771; 944364138; 364220656; 517418405; 563484263; 415108693; 188173487; 654527894; 913405866; 341834987; 257760674; 485821812; 989932748; 374023615; 4641799; 469158805; 198445864; 616872619; 109805196; 85266588; 491323228; 631471846; 178143869; 328665617; 994070327; 363748716; 893046339; 653958976; 888271743; 162903301; 505628034; 23148659; 672970526; 914903164; 444624047; 754132264; 350271105; 336374455; 567935516; 56379500; 867165002; 982734861; 687442667; 128513546; 396125699; 419058188; 288209085; 552515526; 64488965; 56408182; 513964508; 441504167; 929609672; 460875866; 98412256; 72048688; 80146100; 486688281; 944996192; 548593993; 148450290; 762900984; 520596545; 847476239; 901228027; 361605943; 649795019; 44956546; 494938176; 727471104; 401438214; 12000439; 693479624; 618424712; 189414454; 316462351; 561281076; 445222715; 389718447; 563726196; 305990171; 666399949; 281473508; 257517755; 868143122; 76126897; 388884355; 565852030; 982815755; 697803217; 386020416; 482960902; 36003782; 177782706; 639360955; 343461607; 407237584; 744811379; 377510793; 971985250; 123845867; 628346871; 317870596; 15324772; 622652538; 767579850; 836703909; 274243607; 245257216; 346080411; 554386104; 173661955; 469167672; 672775979; 805022944; 738033083; 953606753; 420932286; 387642314; 312927301; 544727408; 677043093; 235066183; 765563299; 737959455; 323829187; 649197178; 466591243; 354684893; 769553783; 600169867; 126015878; 912578930; 908448537; 751443548; 64782758; 869749742; 945858965; 927700649; 195417241; 366765425; 218342135; 271039684; 988678915; 808789847; 521403260; 270890023; 45653107; 143862138; 2223705; 596645047; 704579293; 426645733; 748929343; 963907799; 333849739; 628385925; 871798299; 10802346; 389788457; 304733795; 85386247; 263954563; 543076917; 987186194; 499994550; 396429660; 327317655; 750758453; 122170907; 15579994; 663173401; 624726230; 441148491; 309302989; 999118031; 410370784; 908356982; 141303645; 618170149; 472317022; 241883167; 238371076; 664974564; 53394948; 678061832; 303351365; 868060461; 992565092; 990392471; 458046846; 502966270; 449705735; 116401463; 205136196; 87634324; 85746580; 262474018; 420448325; 186333339; 932982329; 189084422; 410594036; 995620004; 446982214; 671093834; 248201801; 709997569; 914882005; 173031135; 104211755; 968777932; 706525446; 914254777; 500037702; 945603186; 246160970; 426090379; 93810342; 873721661; 47608883; 350073684; 930391855; 20505484; 473521925; 741943777; 700577479; 545082122; 500067972; 809122877; 258519285; 277282432; 634388242; 688136919; 834570421; 324274899; 683315881; 529665461; 164396073; 872361966; 848847433; 117964072; 964087346; 6899392; 499559785; 217669223; 215925404; 208045659; 788310054; 259989686; 412815360; 357681939; 46173613; 543224374; 601563008; 481129250; 625777457; 412273193; 730681536; 129564105; 540955803; 391248158; 402025095; 870994251; 650941623; 163531677; 281581809; 290497373; 311039079; 835997147; 170688431; 707937918; 975415534; 609505352; 334976265; 659500722; 303188853; 980736628; 659075906; 533836218; 343177901; 98318384; 29366025; 247807382; 227862183; 894981439; 722697201; 862061563; 333672420; 255789005; 202304538; 716984184; 917089510; 970320277; 340191772; 9221698; 395303667; 238814321; 400895588; 153179670; 44852915; 300914801; 878528211; 751439950; 576239034; 255276143; 426038180; 90277775; 189104000; 772565113; 602143145; 870039125; 806241687; 204959118; 327833340; 316039021; 582681407; 69222034; 126184959; 726011407; 462559737; 749454813; 601329495; 849012599; 213151497; 339217013; 219432479; 452840227; 273729228; 215765975; 806934334; 165620550; 995282090; 211246093; 888354728; 6314430; 248618352; 366566245; 793337195; 52818036; 353684178; 256898721; 493666787; 962005155; 964203500; 424335749; 213384055; 842343703; 599819385; 843686374; 905293137; 438930397; 173981573; 816728314; 553505623; 609857487; 9373195; 678019312; 443295117; 972061987; 607068663; 632822529; 923355218; 101761235; 707947968; 319813941; 356328224; 758940588; 298577398; 42554416; 70977550; 206655519; 85060775; 698921138; 736883120; 300404492; 640758591; 935624221; 242395287; 509990769; 988352101; 467405319; 459580032; 869053075; 570534108; 784340416; 670684445; 539659082; 475511678; 509162982; 382617474; 720372936; 45237078; 655872761; 321353419; 856388953; 121261650; 281719366; 913421592; 445751827; 704589003; 704893128; 198001747; 854779597; 420549944; 558896949; 676240151; 759183957; 408359777; 493508520; 652275421; 560410837; 354750505; 349537617; 746395884; 405735943; 358007310; 809616048; 781039384; 371834993; 104198767; 276952338; 307088821; 643719698; 990618857; 13404953; 237596345; 618047007; 775319289; 492430457; 667772680; 51952437; 41940865; 613111346; 797733445; 824155293; 403664499; 870427361; 706160105; 437981903; 504964852; 793568105; 48220953; 655736424; 146570431; 37611569; 679866402; 537860034; 633952930; 209877715; 40122823; 553518087; 286909798; 360305566; 421094346; 694207326; 379985769; 573202393; 226161456; 315233143; 988108041; 548209397; 975066640; 741539074; 638668207; 770160410; 704087737; 341088682; 755534729; 351084881; 910818124; 989363984; 511395510; 772943715; 142603367; 376859575; 777928205; 275029436; 418653835; 449371080; 983764714; 839116801; 84977498; 477225707; 630693092; 687758641; 600086242; 749925715; 408908055; 859463460; 661466904; 756192716; 251661025; 455407480; 44603931; 469177257; 522875425; 131387051; 905989876; 98735798; 297200979; 138846101; 791910679; 635195396; 618467862; 659032500; 682024102; 655550778; 283108417; 903365827; 841128239; 348472609; 529208124; 322164728; 670395204; 553672228; 485415686; 309463065; 684138469; 304083844; 357908813; 440162540; 315642098; 840253232; 532892884; 220502344; 32129853; 347925003; 660605797; 225671013; 953747600; 48084179; 558482137; 809720028; 685628676; 639427498; 368961935; 272128877; 712878510; 914862654; 254974920; 90279966; 486249988; 324486576; 826839267; 384048111; 739076839; 268255474; 273089648; 509276447; 669143066; 644293557; 26528681; 979578124; 78928151; 938023182; 416832254; 480230870; 286163681; 295090170; 70052976; 138096066; 707369237; 369900852; 678899437; 375011183; 842278746; 375350647; 803268912; 490289085; 840446510; 537227573; 892654654; 679585417; 928546065; 734571632; 53454473; 977385674; 847303289; 448190564; 443681451; 640187208; 53720483; 925473810; 250658583; 349474254; 990140522; 86543711; 369411292; 144457984; 18534454; 706889420; 794610970; 613541931; 730556536; 96983702; 588349004; 630819828; 336347364; 706249525; 966613524; 923984923; 341804860; 372292108; 845598165; 84123764; 208309347; 441774473; 525912301; 315908844; 194132762; 788475820; 835167295; 566153430; 751721252; 401229852; 674713168; 532353523; 77632469; 642557144; 222474304; 936269133; 980620551; 428307693; 972912007; 434124545; 265569450; 754071354; 821013607; 923385224; 706930216; 537089345; 527131211; 277860063; 779030207; 760311775; 167664254; 109406896; 147530909; 965998493; 11295779; 497098950; 198023184; 976790327; 448091509; 427427718; 481363051; 971733020; 36128915; 923120129; 333721952; 88035446; 827914485; 988179635; 526726868; 162618037; 60619333; 274347793; 765853082; 980816181; 953568509; 739845515; 434251687; 769931181; 39899148; 123869212; 158292324; 795439280; 172082555; 655787536; 977857732; 661113074; 139451207; 160621216; 759148103; 51555999; 831377257; 774586618; 649162478; 459557982; 859284046; 188717713; 421510700; 959386814; 95176103; 832818623; 912112832; 653614000; 89638957; 320014180; 66912471; 181249885; 808898497; 673604638; 872298954; 563251025; 339852237; 231947272; 695479339; 155377417; 423938064; 397378734; 32410785; 179375849; 240760980; 359999192; 287216312; 391948864; 820452175; 82233407; 774568344; 337526289; 173192770; 300828867; 287944772; 871122680; 638649166; 196554392; 695956301; 54999484; 917518491; 937567211; 545716316; 138619194; 835584064; 547288387; 708059858; 280742541; 913433716; 183716089; 981078052; 8726152; 750967409; 613587558; 710076379; 294691857; 396767116; 913506449; 931136742; 413229884; 908515463; 723621303; 112543123; 720887516; 777241552; 255030118; 571185080; 945038867; 637128357; 102206429; 603926348; 718045150; 305591271; 225068308; 361513931; 707512826; 288938289; 269116324; 210215062; 866133350; 493797150; 648616850; 346734378; 279473116; 370279094; 666118751; 482956918; 49970649; 355750819; 448616034; 16732616; 785118237; 193036058; 78500326; 318233721; 442330201; 897897564; 418727528; 351401602; 128021743; 64190729; 635752529; 599070910; 925561284; 191306219; 37824320; 678072264; 449659270; 212555109; 372162533; 145678700; 370293600; 408850479; 176344194; 642277157; 246278045; 504680212; 29008655; 331939794; 309837337; 331580007; 129809303; 175480622; 799266310; 100553564; 670870403; 895525316; 331632601; 763724207; 246754761; 538553245; 501153882; 62562321; 440716443; 272156734; 170558858; 706141076; 580089238; 658682815; 96117443; 417807388; 113519183; 639368537; 400065919; 657113965; 918310729; 662876057; 174769053; 335543604; 975822381; 109218837; 573834470; 574128206; 890693728; 321181888; 251494245; 662150082; 895869625; 537108936; 941137; 254314158; 17265292; 63202366; 171516380; 278945492; 600799293; 971190456; 577436146; 60436479; 403952264; 433851903; 920206922; 553285288; 767838428; 105254329; 496287479; 756037158; 119405828; 179922544; 715310173; 303679971; 914766439; 145281561; 259997846; 365532491; 528671550; 553135392; 918293895; 270358388; 36322026; 299934422; 138299178; 95741312; 87205708; 177431674; 86615803; 757453380; 337341203; 600489337; 934348391; 289474459; 348968837; 408591207; 659040188; 759517995; 27200229; 608850193; 614423387; 563721594; 377731843; 54650509; 48666057; 602552420; 655233191; 712757251; 542918264; 327288039; 417929882; 511761726; 746693635; 650671534; 360821194; 458627735; 647704766; 545536912; 811702407; 739227086; 252864723; 530843864; 308515308; 394990324; 39051726; 615455843; 878943541; 779435411; 182169202; 29296817; 678915540; 155426868; 484415306; 477515057; 794511607; 230518268; 539756100; 50760132; 539541287; 318722917; 162780350; 621766503; 994503625; 794215500; 876962645; 178698996; 379993525; 440274795; 971871029; 161818793; 891477292; 64229491; 926036098; 485339354; 987310144; 78657991; 301273978; 51511457; 493394108; 222501433; 859054619; 865818727; 796461111; 230461315; 24656447; 924645322; 406590413; 724435932; 199653864; 876886723; 189394896; 377978395; 639762163; 415206018; 366203807; 115857552; 730458041; 417002505; 641566156; 573077463; 661341281; 311057921; 568529171; 247714875; 829162231; 868271220; 637545156; 978885695; 468870551; 691210915; 371624664; 205240478; 243307141; 738556000; 75770446; 240541962; 879152038; 288829374; 297755714; 731086592; 647020745; 269814587; 281341075; 177287469; 397225143; 843875584; 10720423; 548349103; 281657632; 822684418; 256633901; 329054124; 860632519; 305183857; 211226059; 588908107; 576566499; 795428791; 74045673; 442064211; 985937886; 257301628; 867277608; 506150149; 627232805; 140575824; 821354131; 415763872; 551012563; 830602779; 954656899; 235717231; 115698213; 276987141; 28463431; 432763895; 455648027; 592791943; 795943793; 447882805; 299701804; 284635031; 95399554; 432693706; 499240800; 268042594; 377812909; 448726957; 812917528; 55268715; 406813457; 783379732; 110299831; 608777105; 325820356; 575875663; 345383077; 268581643; 664134519; 891704432; 33588181; 237555799; 823352862; 560579208; 634136911; 832456612; 777484516; 623750032; 980393779; 534540352; 469635270; 670771446; 989058021; 583251232; 231860007; 704645071; 75667327; 700877508; 220784493; 773207189; 401817434; 973950758; 276981912; 219804796; 112541903; 386676357; 390965775; 737358837; 675651234; 596160544; 545488026; 876472650; 31148164; 288604889; 588094112; 522178373; 971671429; 792141597; 731708545; 890402478; 599162114; 836535653; 835303135; 345310767; 284020826; 285725989; 180624172; 518100188; 400670717; 562634997; 133400078; 662057787; 655093699; 441965273; 603214694; 783210713; 854600952; 883285386; 90471009; 871603144; 705717285; 791150727; 3046974; 992291954; 265339517; 402100166; 932778872; 41246238; 651855194; 426351904; 236570599; 971421379; 536086636; 147164568; 877060831; 876520580; 267314609; 212163625; 855789240; 616502042; 57403665; 868403835; 779942405; 270147401; 767938764; 327881559; 952840016; 623046284; 489995535; 247398813; 633183728; 248132556; 645407077; 535234539; 797636359; 261955501; 795292490; 451685333; 661892131; 131261825; 934279728; 905389301; 91513155; 463540868; 557540286; 576933742; 603506184; 743236618; 389084373; 900174734; 788849873; 600455506; 637167962; 855976252; 314336436; 73901858; 355118786; 360679297; 264843971; 723716451; 465264849; 614440198; 8096358; 319401491; 26104038; 466391983; 789727267; 435801242; 82770876; 83636291; 902081376; 652624017; 776981435; 116612567; 768340398; 76492646; 828593660; 763965420; 769137942; 375499090; 502552588; 543774199; 373939520; 414108858; 666831108; 188107135; 784329079; 564860767; 626931349; 653167089; 235765231; 501561950; 916465243; 771524659; 12586771; 113777759; 21263503; 811295570; 741767401; 710077068; 839310816; 781958654; 91298905; 756030071; 179056601; 69998034; 162957762; 108200613; 470434275; 311020688; 594344597; 418713573; 295379432; 74544399; 187008632; 302760563; 622632187; 726639479; 350021602; 246163574; 966848464; 862177225; 747589186; 882943647; 208776012; 402184160; 805215536; 126566328; 226522219; 513898173; 116197083; 93171898; 46258155; 552968738; 857948919; 812688414; 122715537; 992167063; 533610085; 287067334; 458451057; 409664950; 458995259; 121350032; 741277002; 468946704; 634824875; 663046513; 867876479; 546301291; 85185180; 40867285; 883414960; 3714136; 768428063; 563849605; 280506204; 370946765; 466410142; 168186769; 921913214; 572887961; 174863643; 596714263; 210325011; 9314519; 969848265; 999190316; 272949552; 474298602; 910844150; 389317654; 639001003; 495298467; 382589012; 833518815; 708703844; 625882747; 490432307; 812633821; 9355725; 553171636; 206480780; 277619881; 940418200; 986787085; 769223417; 555267035; 263714466; 18784083; 187764967; 340602065; 111172952; 600182648; 236056629; 403758176; 6144386; 321550223; 167502567; 586585376; 510156977; 129408915; 748975306; 782386993; 545988257; 451500249; 556751061; 576151702; 67989906; 842288916; 432719152; 434932575; 547799459; 643638394; 30359108; 313732742; 436563454; 715188309; 390227762; 125483610; 840889392; 713598196; 718623191; 284770837; 459232784; 6557511; 642673484; 644168306; 105717080; 229526330; 207630088; 973362655; 509717688; 20598438; 638317999; 677818289; 430927803; 350762833; 329803854; 338066278; 361398156; 133980828; 72386739; 51123340; 209686206; 103462785; 586955407; 445620649; 339816761; 769570467; 331079507; 673857758; 534167457; 434754968; 785512746; 691381391; 316124475; 890403661; 624806118; 433850340; 270985772; 424775652; 293791928; 410905424; 659030203; 352651410; 447467133; 461743049; 749679684; 293590961; 931961374; 780784124; 14744686; 332098779; 848370887; 730433531; 634018458; 176443895; 717365221; 132830163; 965733904; 245620751; 239615615; 499717224; 861886846; 585036267; 901274051; 988881293; 396710353; 142791794; 711665581; 469665203; 233223261; 504139985; 13549732; 401900828; 51899483; 659574567; 296934629; 54341542; 822628867; 977900622; 866425832; 95322824; 865375162; 481653939; 640118639; 546398597; 787928983; 153116190; 7890339; 837179917; 987190896; 414857312; 99048215; 412199189; 325786520; 113690598; 690333639; 256139227; 326538858; 118944527; 373799282; 138736325; 743864324; 618894257; 836107323; 584632087; 869429017; 462105091; 765486256; 943478841; 228974191; 159794583; 386726175; 161282771; 439775362; 557110513; 120091090; 162756608; 194978562; 263978100; 906477531; 487002914; 858595354; 11128778; 82920486; 637605959; 541478550; 163990560; 237506834; 332675752; 887570784; 976714717; 564615134; 904860238; 360354602; 515896080; 461277188; 842390577; 562564595; 643536648; 318532347; 343164702; 441369742; 806963165; 618022631; 92791139; 396493963; 831252962; 636315725; 781073868; 731243977; 557316963; 374673606; 188685812; 551200660; 359299322; 514257805; 232447154; 279581939; 296811393; 404543333; 185298756; 876534483; 946020637; 159756971; 149591198; 420356938; 122235137; 285046753; 671542840; 609831342; 109655895; 273289923; 599499080; 728468931; 962494903; 824209126; 233753018; 699428182; 42945786; 330547966; 251344057; 874310721; 445373735; 383110298; 406768097; 719931186; 795631208; 833844968; 61006805; 244420387; 21449557; 912478578; 215426564; 106813455; 515950828; 2914751; 911035306; 941425048; 846413766; 398897115; 304163593; 202396511; 454698480; 515150333; 250383836; 897226341; 10849447; 698882713; 300622731; 772958088; 546566715; 649691677; 621512880; 661107554; 329290799; 555593004; 322134199; 404818733; 167399599; 572535364; 764061200; 191726217; 494304860; 138671949; 823697097; 152084302; 371449896; 204396184; 624766429; 513129350; 301193550; 537867939; 396124409; 219588692; 964205677; 439517392; 989598665; 388522003; 363776039; 396065424; 909649020; 375066434; 937359922; 466873352; 131928877; 427319735; 224029730; 359036787; 287850565; 206977132; 499497275; 109630211; 268732118; 348934305; 384331743; 336334831; 927902017; 751100875; 777044861; 41026251; 160033630; 992028455; 329441096; 655503647; 105077357; 465940353; 777933302; 535127989; 123262302; 238540346; 41676836; 834099172; 411935566; 777467875; 664107237; 152717713; 780407217; 824242724; 113402742; 326455324; 827948385; 722854397; 175427269; 875393760; 539888382; 663175279; 899490126; 816901135; 868826640; 697839142; 105986992; 227499744; 463038007; 166642760; 736744391; 306030301; 982998451; 897274723; 751874378; 390424526; 226205722; 992788828; 930803562; 738755090; 579960456; 967630497; 562230231; 689477639; 879085704; 769267834; 386301566; 156146970; 58161548; 820243881; 388321741; 714461998; 370600975; 914368008; 775198736; 637285907; 387537422; 210325548; 308849245; 874114449; 87864165; 773758093; 283365288; 851800500; 219209400; 806983471; 184858672; 263149355; 277866284; 911673464; 763529536; 331472970; 329848563; 299489443; 41792417; 34674845; 520203229; 213954546; 446582179; 449432098; 805394810; 206893201; 153337902; 314547708; 529079165; 810036622; 351330494; 364306015; 71887071; 128022064; 169803339; 274423528; 676652169; 923073549; 417507770; 423557583; 297500000; 329529966; 92409938; 605648515; 355671204; 694658521; 419762706; 8140361; 42342403; 48714514; 396745722; 507775512; 949782029; 389710784; 116665317; 29726704; 281007213; 862273421; 163223781; 230871548; 947006787; 35813445; 928151802; 955752783; 417285858; 118097085; 177195936; 407388562; 758458654; 280070695; 828471624; 891060444; 786882692; 116006488; 196584612; 708963433; 103098665; 594208228; 959428928; 469535450; 686679120; 324234248; 42345272; 666503648; 251706353; 8303103; 370749534; 518276445; 530350986; 732725001; 922222392; 806082634; 37313033; 507794333; 98053961; 576909686; 370556621; 410459451; 298117869; 421638294; 938882547; 291332587; 704790360; 743728525; 283216145; 703844667; 26723361; 868505140; 257916643; 601849262; 772205879; 237754601; 631392290; 900153531; 563649373; 335047330; 967887412; 78730240; 152661603; 194184373; 249971807; 987245665; 157084102; 614498694; 898201098; 555881854; 694702349; 342823079; 352577520; 245082624; 1581677; 723390937; 70142527; 2065162; 66099391; 472867402; 563477019; 431419881; 464260960; 255367496; 889304308; 561298268; 912480395; 111708649; 321759591; 143364510; 764953443; 364724436; 452339841; 819084851; 20560233; 917783541; 136279261; 572393877; 445768943; 219875492; 508269450; 61087201; 467232008; 307179481; 635087817; 473653196; 439386763; 135486545; 968300345; 175020991; 341381500; 148472514; 886093849; 151509505; 991979317; 549998682; 223982027; 257940633; 764216406; 595741274; 337091458; 545549109; 971069844; 774378765; 566959720; 437960496; 933240778; 375813240; 982487122; 224582456; 563632329; 974633371; 16350761; 434038189; 775509790; 533381137; 857928627; 907987564; 857762284; 91439263; 802654194; 663807112; 203541530; 788653192; 920691951; 110271210; 495419496; 414206711; 469728833; 276947197; 363590632; 902926807; 204036779; 316264410; 961761373; 665282294; 263956003; 747042645; 613558244; 723708381; 543111765; 350451526; 277092971; 933093340; 206628597; 765961159; 531754018; 679670183; 894414218; 214658020; 781429161; 324586529; 30982263; 464632855; 37337237; 707732187; 571986934; 463613958; 550929066; 147642583; 879554088; 64120354; 169812065; 436756204; 554519762; 919843496; 214172941; 827320015; 263110272; 46001680; 958207461; 317565710; 136140038; 518002376; 566216856; 885493377; 277158913; 726506286; 604307224; 177720503; 575687020; 298910839; 569287344; 6659238; 774805585; 621951162; 746694866; 661661024; 282117922; 261971274; 512721575; 712351480; 214715443; 207749189; 14825152; 593548783; 2440577; 672450624; 602174900; 411391093; 385722512; 481697722; 964379736; 380398585; 62368687; 238353061; 807525634; 882599823; 461025285; 121590738; 696666474; 775549810; 366426458; 773153210; 105223235; 580615927; 850827911; 289779820; 180025989; 701674271; 973238422; 217052557; 344211654; 788131078; 456776969; 120546208; 4151142; 470571732; 839087374; 807882719; 954480260; 18901838; 326160095; 570848513; 346037180; 188165046; 693004402; 470944888; 312719166; 346392315; 135724206; 951402425; 475471072; 971887670; 350734566; 942689093; 483432758; 586784451; 220372237; 205203689; 846656621; 908139981; 133123166; 52212397; 626581154; 597576475; 227222877; 992451347; 267048668; 326846905; 106528960; 913826137; 932982784; 612674828; 811130890; 825721575; 786295998; 661449169; 22884355; 376430100; 481655693; 972878561; 601704476; 529260878; 820013367; 178932192; 992813835; 421272263; 266647573; 909722184; 717026967; 929731457; 261160402; 801633749; 546189833; 890026846; 473377365; 721438873; 817172228; 45095059; 401162276; 388027540; 424299236; 781860075; 539161282; 452183980; 259740568; 134696461; 412831179; 449129845; 575514717; 19778899; 94524438; 151891497; 233349780; 774585770; 425401148; 412720002; 137410542; 656650694; 321942738; 540637815; 310440399; 953630048; 97047545; 23056736; 981220384; 419147698; 820246722; 697279542; 654153199; 2948593; 105720717; 819028158; 805043311; 692173736; 559607950; 557970884; 541729264; 693975971; 667336919; 787096475; 751413012; 160022918; 597968589; 399188786; 59675475; 644482128; 330593832; 613232154; 767553588; 779473924; 434196055; 346508558; 220071324; 522482702; 321578510; 356229910; 291285156; 970719365; 340806269; 666899715; 594829758; 698141445; 890629856; 986722628; 487223836; 970728538; 568760606; 787935348; 380609891; 99639588; 971497787; 50336317; 375971610; 65105556; 945672928; 345754444; 867724635; 718456868; 20637232; 81791460; 889397552; 300611358; 478961809; 558909547; 125109835; 642381054; 418463176; 11414284; 146926438; 97027493; 381831349; 97869899; 716351583; 50241917; 565520004; 850491753; 162404019; 462351549; 209109719; 765774246; 275217973; 762912002; 857616643; 540500148; 441160088; 198082320; 730418806; 817295308; 530888892; 865312105; 753610033; 563101356; 448585127; 628679502; 153929301; 371488309; 869538930; 747079502; 257259766; 780553392; 635300141; 67956686; 359402; 187913987; 604170339; 453050956; 580602162; 80638792; 655549558; 806759797; 745612777; 814636492; 321772048; 244988733; 672940104; 920525763; 794186300; 408789205; 771783587; 974857333; 792249510; 550508217; 666160698; 886747961; 3052019; 899479072; 116686650; 987652372; 448096120; 986821913; 565774851; 757501927; 294125096; 248167319; 93058107; 925534535; 790477515; 428242946; 246772316; 582703590; 15189108; 371976260; 970108103; 438054841; 702919363; 932439418; 300158073; 531474245; 996048716; 279843638; 210112238; 470247911; 505258417; 402057377; 465933360; 652274089; 965146690; 525777369; 319366556; 471748709; 959957656; 137608780; 820266493; 853381275; 83310252; 960272705; 576772574; 797456418; 894181234; 303395279; 284895517; 570331947; 799404076; 232324999; 223812397; 286473527; 830930910; 209117239; 764237971; 727706954; 4386967; 127291858; 109711383; 109924955; 563625930; 995564796; 875396912; 39840585; 923549420; 409728682; 806411435; 718349646; 86210966; 148318666; 450281598; 647253338; 204766448; 961602013; 423192701; 562655686; 207441755; 938137281; 535311598; 85336986; 777315832; 738803557; 527397568; 751456547; 428321883; 335566231; 774245296; 129250638; 602359189; 203904506; 718493743; 142657418; 543246995; 364411826; 210704410; 579320430; 791632602; 692883495; 559988341; 645602654; 326481139; 460620155; 690334557; 62216840; 538594234; 961593030; 208806152; 970506244; 255593985; 898700491; 868387478; 216374226; 103286192; 600232124; 820955052; 844462259; 784392646; 64845145; 606769536; 928900605; 647121477; 57346889; 824827870; 773209267; 456016136; 731629115; 610813724; 649232991; 890595155; 597258576; 570158461; 168774108; 869373154; 426529152; 848174835; 669149160; 547790336; 292621315; 205098341; 430705284; 512758036; 194914601; 745912383; 248026521; 317964204; 617419374; 517012733; 246608553; 510698818; 610601381; 418773372; 749741437; 266384283; 53032518; 561777295; 989902076; 23517476; 301394566; 285724630; 238079747; 170984421; 871806686; 264255740; 300589767; 197690950; 937876962; 654369314; 885345665; 803158653; 562977052; 617996948; 147861127; 940969091; 373576487; 231362555; 106285543; 760058691; 763185154; 534664057; 957017019; 300806828; 301672870; 898235400; 160351858; 737978300; 563277807; 652960544; 26446438; 300526577; 337019827; 169692615; 464451528; 498383000; 695524860; 443622530; 637379759; 187131053; 91567940; 174487717; 619723997; 547364236; 667077769; 861990837; 269656878; 98239251; 409722580; 93214370; 510934257; 176253950; 770498901; 33225028; 494995430; 666720890; 477902856; 379434004; 755291533; 421866741; 346000807; 664928344; 786808572; 917262612; 880619154; 32426004; 165926654; 610190817; 266970212; 401056129; 103510962; 447074635; 870941425; 62380403; 547593384; 302302810; 652824020; 606093356; 240644399; 875381852; 740291944; 253559985; 606696884; 151000920; 467331636; 31202911; 155490673; 663817458; 377999151; 1202978; 850331938; 74869728; 551883914; 920830669; 923465842; 40369669; 901524141; 598161442; 245959235; 406343396; 187197659; 478358674; 818902748; 14852300; 870811099; 602230009; 475779198; 423563725; 964897639; 546031067; 252973472; 853767649; 282542915; 465365034; 541808252; 337768915; 677603800; 310052899; 817647524; 640306506; 601043822; 191099917; 852178392; 827656916; 316167971; 928140873; 815408675; 572884737; 661924736; 459582575; 899910863; 381092208; 589274959; 293344719; 812818281; 613019060; 821756533; 787049947; 774637461; 398814198; 127042689; 515828983; 318358769; 615692647; 163869257; 163550962; 721228118; 208394584; 430286796; 777236245; 748942905; 479460062; 540690464; 120804780; 780179181; 266690257; 34139461; 882208391; 906235214; 37405308; 599460695; 666325146; 768034167; 485328521; 66390264; 641800235; 923682188; 773137668; 368686628; 742021801; 802984996; 371801825; 680713585; 811156106; 208512914; 730599765; 569167144; 35826841; 20867106; 634456305; 786126635; 476224625; 489368764; 360028860; 628356821; 513652489; 214137796; 189169816; 433563221; 55664707; 685140934; 510181168; 538881087; 688304025; 781897878; 923653472; 908505969; 728665047; 592314449; 699571796; 914973404; 608448117; 479035443; 189275097; 839779111; 64107724; 340321731; 375684040; 179509274; 131653792; 382961195; 585427756; 255333041; 579264099; 159186886; 852471505; 913225043; 522740304; 414512485; 270370471; 516225795; 947450214; 457352891; 204656580; 520979202; 280686702; 458579057; 185004457; 417961308; 535247220; 656761047; 356469613; 781365628; 618954957; 723560122; 567864708; 315320993; 808384131; 672059919; 914014486; 166343283; 365547589; 502332140; 356451832; 956440540; 472717424; 953039619; 946227621; 460497152; 153948692; 512257834; 389153918; 592328096; 432058417; 602045197; 632412603; 14158220; 618262499; 374105115; 986008294; 726378960; 775017641; 773324952; 763671330; 837984636; 616220226; 812066444; 892565384; 514584655; 645593685; 621139244; 868949481; 564036570; 250634364; 314848196; 715833577; 832753563; 81680222; 824483448; 61700502; 605080294; 369801760; 3248820; 526763027; 302852710; 728346284; 721885740; 653341827; 29103960; 118931899; 310095724; 981698283; 210061538; 131112369; 614365487; 638235870; 691653944; 350125336; 15930801; 926625016; 733354693; 149756121; 877962137; 448971267; 19573197; 938463329; 192515095; 808654488; 358853301; 474154394; 276651061; 570640546; 46343989; 285044464; 288713843; 983609851; 734622337; 200242622; 209942700; 596271683; 401003114; 523245245; 537724475; 814400904; 317495439; 43697263; 365150297; 588583722; 75927967; 379301571; 134304407; 552445583; 398283575; 383323473; 441254621; 324484825; 223886238; 818448918; 939767640; 198537723; 506977989; 230098251; 18905789; 430886078; 679913389; 380003133; 399880487; 190080471; 628244236; 217154135; 528452494; 6890056; 638650739; 115873244; 797582810; 766259355; 955978037; 158401294; 674409560; 283585397; 158906637; 146403289; 915214954; 957550233; 326039577; 360452432; 321011519; 2271982; 181069798; 257118254; 338415423; 944673295; 826690248; 937723918; 743923088; 41214603; 88741218; 250634938; 998224143; 388044729; 759997979; 330837383; 301063574; 269271290; 610465667; 915317784; 910633214; 433324256; 882489380; 158966296; 728343707; 402396489; 615795273; 718875292; 740201908; 48813943; 276853870; 624174156; 924197343; 265269960; 700665139; 738142107; 574460402; 508448722; 689801229; 973148615; 287106921; 882765074; 929925575; 863635172; 720956675; 321585424; 40249219; 551874871; 172904248; 193861833; 452709497; 967624288; 686710575; 423694170; 987596292; 49530383; 55706228; 240817895; 63003905; 25602046; 775352126; 147425848; 505025881; 539470670; 526853730; 634113208; 251251349; 548832878; 46972559; 766851314; 715350392; 398730473; 374668866; 757554316; 720067928; 380650405; 314335707; 768607525; 831733223; 730404990; 781085386; 672882661; 63771359; 929777319; 364258032; 546303160; 374900480; 497716982; 925827842; 634815625; 835725471; 887638937; 712103599; 987654990; 515774225; 673572914; 259503703; 550813538; 510465757; 459574870; 192608702; 489027698; 486418116; 216345600; 110869332; 878077053; 969185552; 368650433; 540658942; 954034723; 912064423; 853439231; 53774917; 451903469; 370749863; 818317926; 640556497; 664659507; 208616989; 723908874; 111773710; 886305277; 849163411; 936529921; 97583656; 764433319; 342485953; 48696074; 241572854; 354350611; 492572847; 6078557; 967198210; 626354288; 441017580; 192944363; 135566638; 688471103; 820551076; 656445780; 575978498; 809356074; 146981425; 178592106; 180997765; 579889945; 356524849; 810104366; 992376595; 315395857; 37531820; 196983858; 255551005; 257767661; 862669882; 247940827; 434180160; 27240242; 289516017; 589001461; 637223198; 739789738; 577989959; 209849083; 116895602; 48804747; 273596560; 914641724; 654110642; 732540679; 264392763; 85173298; 848622698; 976334029; 478496915; 517058824; 778912631; 589708062; 227467890; 541348094; 863039552; 327126703; 291819267; 418851986; 282129386; 17023297; 602317448; 335848811; 88596799; 724180108; 215200080; 931972076; 592828021; 181409274; 712827760; 514842050; 97446384; 810799975; 948801714; 822021087; 686286006; 498486931; 914707295; 915983801; 768745901; 844711223; 102219035; 644702811; 786199675; 944473435; 109979896; 729930971; 509152820; 772332834; 171056589; 501838243; 224958778; 216415601; 936713966; 457316493; 404302522; 735425814; 560349465; 610136811; 898307910; 505826035; 298770609; 528903767; 339650430; 35783073; 331528708; 166249046; 237332526; 460600553; 997754824; 223074830; 803106273; 937338525; 30113373; 966190404; 810980292; 752102314; 464505838; 555464487; 23556330; 647539420; 386012733; 574372684; 183585083; 730136389; 361647425; 999253102; 527034774; 857676502; 834266351; 231932994; 224105359; 230657773; 556421691; 577209207; 824039076; 989821104; 411704709; 647836427; 114715376; 840987758; 951042577; 4936769; 331904490; 21480228; 311113193; 279590938; 423408622; 841866910; 679459443; 46368475; 176618601; 377373695; 533830484; 218221434; 228695031; 560027837; 319567975; 216302020; 869388586; 578944768; 744960178; 924153841; 40357448; 260764232; 710845380; 418809155; 846798879; 287325867; 564900335; 713704625; 376532438; 63818582; 979370712; 397798810; 5980722; 919992843; 763963761; 936539272; 901980033; 942859306; 796338703; 886994369; 162666103; 492386887; 675311826; 246432248; 653307709; 272302021; 499504893; 912510703; 627343985; 168143899; 422731860; 314748579; 341873090; 99848483; 669244702; 506922670; 420125015; 51756244; 994679178; 735212569; 275946462; 24281534; 643750813; 266049893; 280883705; 724129118; 835280522; 320330683; 321563824; 515265244; 694192290; 451974424; 507323235; 502305595; 290029369; 828753335; 230421213; 211829755; 145230; 345855048; 18382634; 744155929; 121622810; 560747409; 190422595; 894866428; 251454281; 423491752; 588007420; 198007123; 174124940; 499390280; 656023163; 409183636; 507546586; 512257090; 404463066; 113618359; 94905315; 339141806; 608432500; 626714441; 476970393; 511674116; 97125866; 387824398; 189786602; 191286372; 762191151; 219495580; 128366919; 466504380; 862290760; 166113136; 78169848; 137764192; 826901875; 500398471; 84715519; 551185848; 849249217; 377059285; 186989719; 837151743; 679352061; 605199527; 952699587; 161141844; 292341651; 347312277; 434131217; 716140098; 249965201; 834765696; 957953630; 40000941; 618083245; 176434616; 493673847; 421771501; 371525732; 152188433; 698130054; 736373520; 469294158; 308086282; 245728474; 729111515; 709441900; 840624333; 371204511; 864938880; 167749467; 790620678; 657140258; 882137117; 710949470; 634445306; 307676433; 885983139; 769168263; 250899457; 130777882; 141792860; 846443585; 57941922; 138209788; 896460309; 280301418; 755777096; 280008293; 577225435; 7517119; 990452384; 539995974; 526523154; 347023029; 591387882; 987375812; 605372585; 827613542; 537214042; 75839524; 321669707; 205470136; 863383153; 271152564; 654641744; 571280878; 854367446; 26191740; 906849096; 812590967; 638784816; 124691245; 571928180; 833693661; 375629400; 714314342; 768527695; 762263362; 377094552; 120351782; 843356478; 145717040; 190842080; 832296543; 59218614; 566849679; 162811751; 212656248; 135290567; 657141256; 111623422; 115292825; 306910284; 42750062; 2294236; 985985068; 823244797; 539110827; 421262627; 341980682; 883953931; 314791370; 462522898; 708186504; 602648918; 175179731; 159400643; 77356647; 933858466; 859478758; 687507916; 37253674; 294447218; 418081771; 872335120; 351290082; 952587157; 29544332; 851041854; 392605690; 818210406; 347446231; 662851004; 24145563; 697555899; 508510248; 987849630; 878363576; 430377317; 949015413; 952004125; 152163511; 967221117; 835628271; 835728424; 556102126; 257938836; 421221023; 186472036; 287195340; 11031171; 181017789; 490854205; 885244784; 477732491; 658181975; 300188279; 273971313; 960704055; 17048340; 322591827; 242894356; 823337876; 603343602; 933065926; 880936497; 984954628; 404415165; 961011953; 892387539; 662143602; 82465011; 653479000; 702141920; 866148049; 924447282; 849975296; 387917521; 652829049; 683691166; 511694704; 953716473; 314941498; 559914515; 468345218; 484602363; 58531181; 307704500; 314581623; 328153407; 867575999; 194936018; 458687093; 801076364; 495330258; 632580119; 976583389; 342176143; 80249886; 535040574; 862714958; 221975520; 780449618; 556275456; 696437389; 874871775; 418254240; 690569201; 961902370; 427605618; 690276721; 902685144; 660158019; 984417301; 489074124; 537903403; 357399153; 554302351; 426132482; 986872514; 245327955; 615067387; 636373169; 480828608; 989129537; 642995815; 198596650; 724647031; 244765912; 589959226; 543462367; 469758901; 154753991; 396622178; 143256623; 291482039; 817727147; 3883586; 258535221; 47502251; 203053484; 366918046; 929597054; 52758824; 805739561; 257902284; 276663370; 959221961; 579739676; 875186569; 730292922; 845638373; 39687089; 553260390; 32535734; 172826370; 634193348; 558251883; 545262252; 652085917; 128145314; 707848583; 683068316; 350846508; 73405587; 90595986; 56982108; 833244158; 299625395; 424705524; 365045255; 678313349; 833265268; 70169099; 28546599; 937570140; 240748795; 868028244; 843984050; 261344791; 788613100; 253719026; 910562123; 136973095; 329320948; 925494989; 779421653; 943617937; 426114188; 780488726; 174793236; 353858311; 315258846; 47681715; 126074241; 124162051; 165312452; 555541963; 427197970; 889100463; 398592856; 435029457; 980142208; 793094280; 873611745; 534796884; 409874375; 665869714; 778975291; 15528443; 561370695; 349165833; 683397191; 618637591; 412619063; 149807217; 476304807; 33520691; 536105909; 566393069; 395875512; 869054700; 159711318; 612301493; 642471286; 456373054; 839172252; 858558374; 336204422; 864685751; 199573819; 655842029; 676659119; 492855996; 735886024; 329764554; 339019756; 130321880; 937405064; 372629162; 931806245; 129699836; 993921352; 77840251; 436367102; 885554544; 227107447; 612672540; 356698114; 814098391; 544970994; 955806053; 821402835; 920406057; 488499233; 704688636; 175530048; 834014009; 534997173; 779044760; 112657841; 667439958; 371291041; 963884032; 893918289; 117387609; 130764825; 21708697; 794431324; 177030862; 617195862; 250776985; 904626163; 825998380; 52943670; 401240976; 115409684; 714572197; 143630282; 377354458; 404839938; 457109052; 624974094; 671831731; 617462901; 10604849; 776572485; 89516745; 74293073; 281087007; 459477933; 676013262; 840165776; 806153620; 719700577; 840450742; 902058025; 800439150; 289190466; 89998853; 681053496; 719407377; 98554564; 553992365; 747374569; 377789815; 556233103; 938442849; 287949838; 892748688; 795399657; 779603223; 179153493; 748599429; 791802503; 393764153; 981291959; 841022311; 856013625; 181716128; 802648115; 398820034; 750486446; 875448556; 636662647; 335737961; 118767047; 189748706; 12298860; 812059362; 233064527; 403413819; 337898461; 646893973; 945840372; 85856341; 289550623; 855445134; 293481819; 926661040; 783624586; 669737870; 811100921; 895138898; 221521220; 21105195; 897593500; 140111528; 851828413; 432696519; 526677611; 982958525; 323677930; 679746345; 245335250; 831716772; 314849655; 770539631; 129837136; 310037644; 334963148; 47583262; 286562790; 723126761; 51422184; 531846349; 944541647; 368222753; 670360822; 275202717; 109172990; 377871173; 433066820; 787953496; 874010044; 526915618; 29439658; 47354278; 92186370; 722560253; 205305795; 645401961; 256052171; 627093163; 954423447; 676159445; 129683385; 696822628; 222905759; 687746383; 197658738; 961308477; 507262524; 756156474; 371246817; 253041316; 940499370; 570288010; 56421608; 616660579; 302185342; 770265643; 875760857; 246179134; 837507022; 793148263; 355122724; 579406104; 772009096; 755884476; 215812498; 202760604; 125939614; 639466991; 252638214; 808966455; 784014732; 698380397; 571069341; 977425208; 33051139; 404994290; 935724726; 261316030; 875148697; 839205319; 742750397; 447397739; 156259168; 249805310; 215223673; 706360604; 285160064; 491149964; 713854132; 937093998; 709643196; 547818809; 303866769; 943011578; 538596151; 660605911; 521771604; 503542987; 791743884; 682370551; 612165726; 303368810; 882225342; 475927449; 622250219; 845778530; 700640048; 528841406; 830418693; 675135780; 535671387; 129006361; 116351356; 564544035; 932097809; 669583433; 754952510; 361367724; 186601698; 413880241; 826474121; 276203797; 918128869; 249712507; 63965657; 807484413; 719311328; 981785380; 608178879; 755579893; 445365947; 51343312; 159345941; 226681689; 125809993; 529408891; 167316873; 238728057; 903533930; 403849818; 372525681; 580311482; 799561418; 693240986; 797446820; 938963616; 430272884; 404297008; 471710039; 347465475; 657045828; 367931393; 632925403; 795576940; 928588820; 75909946; 724561553; 52912442; 762659618; 323284092; 785401801; 87010651; 530118229; 253743588; 818093099; 277494613; 14108788; 344283264; 592400270; 309222475; 199468786; 897284452; 4318153; 643881543; 121059906; 332377461; 557895463; 974114508; 154223342; 748269438; 460282083; 872387065; 970501921; 455940713; 4883938; 249470239; 659629555; 959348774; 747039175; 563019267; 928950515; 968926837; 806791734; 734394098; 531686756; 657386253; 719818870; 16581471; 38481585; 874782848; 195876195; 995052808; 972015240; 459603210; 536004440; 255601172; 165700720; 623222004; 901890848; 380717359; 206763149; 96354281; 991325895; 259922751; 901747563; 739158418; 349254107; 101764917; 537543240; 432147591; 822930523; 441286442; 90873668; 544948702; 813652621; 545276857; 499305218; 666432523; 124875155; 357416938; 549619336; 608176945; 986363991; 623140142; 696796896; 443288967; 885071637; 863712155; 926714085; 849047961; 114119616; 593017223; 682376496; 387139719; 398853231; 800901894; 131951818; 409699499; 969705763; 810354986; 434544928; 861360383; 939798518; 657021489; 285539121; 63310474; 138291423; 376469932; 128701490; 620985969; 412312368; 560981731; 979640361; 695013802; 443463364; 901172140; 155808342; 594685398; 569805699; 737909985; 179654197; 930024273; 227768532; 402500583; 787928336; 457495034; 30445372; 738772156; 690115520; 475850775; 148784300; 284991895; 700305509; 814596833; 147289365; 448538638; 327574096; 530374261; 688208712; 94299390; 986169391; 395287674; 350308057; 938414427; 947032501; 904127128; 142303010; 876574404; 172162837; 396753057; 886781005; 767697791; 816666407; 952096822; 824011386; 266662343; 698711748; 314951894; 883745992; 944218935; 25578206; 808587035; 797414170; 431844708; 624650999; 113935436; 488677946; 798388216; 881513976; 33348892; 155329647; 532899391; 986755456; 909854243; 450511590; 131088400; 922982041; 617460689; 73493607; 794872935; 985163536; 637531591; 780726120; 957304953; 56596736; 149541747; 915816336; 272034283; 306702096; 633924846; 97520842; 633645848; 345495241; 509722346; 797111981; 187579867; 30311861; 249391733; 383945935; 532180125; 212543406; 982261028; 384820052; 538956335; 411375851; 585975334; 725815894; 389785224; 818069680; 925349379; 888492522; 756418002; 659524643; 309515938; 391644579; 785988076; 267471504; 221771908; 74249329; 942943888; 554790450; 697380679; 780815205; 872672110; 893534022; 817906467; 128555416; 375217041; 844021679; 151957268; 844953700; 37284326; 568418666; 333253781; 385086758; 503943299; 296898349; 732772615; 773138144; 743711733; 313044789; 628413434; 403714264; 25258278; 96180037; 948500042; 48180561; 57278286; 17550169; 118171405; 124622023; 393685638; 132855323; 603631068; 30882764; 345525286; 529622693; 850125481; 52373887; 723467927; 175565120; 217879031; 634403661; 219530523; 725241749; 927004793; 86381794; 710673175; 588965460; 493708448; 270951827; 199828457; 173859784; 383374200; 14949171; 262133267; 319712133; 512756161; 799533049; 792656612; 744629523; 598129383; 978409470; 79978090; 487803020; 256415570; 220996727; 651000591; 736723553; 293905856; 134582332; 514809140; 245082604; 520762209; 688667446; 654363382; 670443926; 152663614; 12143697; 169550936; 242682785; 726971880; 949007795; 321983699; 609275753; 532221004; 796849476; 194319362; 807136924; 331654262; 81118988; 541249737; 797000145; 90269248; 57974030; 971027708; 363948313; 321951285; 98447824; 890541482; 57376644; 948911091; 60395872; 797011125; 720766111; 630837950; 684267868; 383272506; 881844627; 225902940; 304728763; 270003366; 759099802; 909650514; 651531263; 637998611; 46395745; 699626645; 563837498; 922956598; 497607921; 694551987; 775075701; 599647185; 993049749; 819869464; 111916957; 272994423; 771450886; 282625080; 1844160; 983240240; 768667359; 594068647; 920385390; 292498853; 430641416; 153190129; 607688018; 545659842; 918419340; 78872170; 562207603; 221928898; 175694794; 35221763; 832378290; 743012442; 254708658; 561520157; 784175061; 135877408; 577360246; 45548928; 146203251; 777302439; 777590903; 597408559; 5808299; 291428080; 470328569; 740917277; 5813290; 25483074; 988119521; 399999091; 842554744; 683125763; 294502590; 133558598; 204198482; 47274319; 381307350; 967227291; 383781115; 954143772; 738188106; 189724190; 371148298; 508323686; 497628968; 613657328; 335369; 259825484; 625661965; 197051704; 945198159; 975636477; 845871311; 806859031; 691006044; 692313531; 473254503; 331545100; 885566736; 304971663; 608798850; 73444100; 480384294; 440129935; 696562715; 605210091; 589954352; 641351647; 560948388; 535290689; 255020748; 297035677; 341042875; 507863140; 741559331; 418515544; 593797437; 684099055; 321987751; 938909530; 185743481; 663965229; 949155788; 635732839; 127127553; 64901778; 657351176; 562071328; 239419013; 161096614; 568651631; 356166563; 617014448; 551074318; 379798241; 863084500; 852726073; 264609455; 837533405; 270922513; 161139003; 415319590; 783802321; 5031626; 187797688; 912876756; 834126125; 227591582; 895036031; 594543098; 699425561; 112237392; 115423458; 463468419; 199807987; 453925180; 411479709; 630774468; 147418341; 564921944; 327580089; 838727724; 623147126; 64283724; 552167407; 955315702; 345880972; 853057470; 901417888; 898764577; 159533645; 155839837; 779452974; 154676214; 163629488; 687059497; 117684109; 898752257; 68201281; 576694061; 73824106; 472676746; 621621661; 643024991; 82952798; 945426126; 807200946; 898325330; 608513135; 387536225; 961524747; 931072157; 168329531; 127549199; 955409454; 438135920; 302956484; 530224469; 700465027; 337889365; 57528050; 107990398; 24851639; 975780555; 52044980; 791872661; 300832026; 13961281; 238593903; 457368937; 946150924; 765007149; 591623430; 54257711; 959097473; 477166966; 105719150; 830847284; 61129702; 468261053; 356617173; 545867930; 237548324; 358957789; 165847298; 554463439; 67339985; 326605948; 310878106; 354136293; 652938266; 39430769; 957531331; 876791387; 374492804; 303291768; 636933481; 391155960; 143536163; 359908146; 719769170; 57954034; 279898607; 23186821; 919183666; 422824912; 988281560; 617787460; 531409881; 605819266; 157658047; 516296115; 900036877; 214424214; 215001816; 903419896; 735777265; 20116211; 443466078; 551441330; 269243624; 363421320; 347738214; 500886858; 942689776; 653757008; 226114809; 288665264; 270898884; 91076081; 974058663; 318080126; 39148750; 702590044; 18271284; 772660288; 811871642; 122104023; 871282274; 863838473; 754909875; 26604588; 686987730; 800474474; 41632799; 734792299; 201645319; 881219996; 722145061; 397917035; 544430716; 46451589; 162702682; 865036641; 641920296; 513418293; 272360851; 281949859; 230752185; 244462359; 23910658; 587619188; 247966823; 185058615; 725565460; 105445817; 641606032; 152985089; 430053420; 431716837; 660378549; 238621109; 144036116; 2763406; 329712241; 448990125; 332080412; 395437898; 739313235; 858196579; 653319733; 559526906; 450303153; 164540720; 251470117; 848938246; 972469408; 46845627; 547847220; 122105797; 453812549; 600614712; 624634724; 801039743; 818870551; 518077461; 865331466; 52202498; 982626501; 219346246; 916053394; 922015923; 950283847; 648595899; 203138212; 747271317; 196261511; 568601775; 867723329; 452823989; 865963472; 574552719; 624727075; 761809469; 189976222; 215563742; 821692245; 285711105; 462449508; 272846969; 784213862; 984702658; 962141547; 478121604; 639336968; 576303175; 871332914; 911692593; 119570973; 507780723; 979910; 928335810; 583636547; 653251198; 390764441; 132752887; 668467838; 110577121; 500346193; 294325352; 333456673; 288092323; 632704131; 653116005; 290056527; 481014820; 909070554; 353682881; 84258068; 145040857; 550409923; 720743163; 852583462; 147474883; 415048866; 299893618; 578321124; 736006706; 161639700; 246539906; 120900127; 218002362; 116726740; 206232581; 110308541; 621431093; 363112009; 646426347; 327812963; 775691707; 11103800; 249210508; 859435729; 146407873; 742921762; 291492161; 604565191; 790252019; 380145475; 346246062; 964920775; 573733868; 381661464; 937972550; 234758129; 459869106; 574245783; 453321809; 151623251; 188900736; 877503674; 352161345; 800427145; 515261340; 893733917; 816330322; 873567103; 701347479; 718731992; 726585167; 835506805; 24171716; 270839827; 854692971; 15053694; 50562527; 190369663; 957933526; 2260856; 347938083; 938859724; 295229014; 662250032; 105040779; 144061828; 290661728; 421125532; 245471765; 969449993; 534979395; 134123483; 277928042; 160012422; 467229706; 365154168; 900745279; 761445681; 694015625; 751415399; 162319836; 121470544; 688454105; 465225369; 556053773; 535143717; 697512536; 589107584; 310187072; 369220290; 174697364; 316053840; 506729916; 102129504; 869487368; 72220267; 126076244; 58569425; 664938980; 600369445; 359193028; 745483056; 537145430; 733880936; 974136392; 799629552; 327759651; 31533900; 163492163; 670798020; 19142414; 252768144; 396025496; 536390572; 502045470; 362713349; 769684954; 631975774; 74719376; 155969892; 420327444; 498944560; 847609650; 842962293; 748829874; 912181008; 769253409; 912686006; 271288175; 35284088; 26614605; 184879637; 882881217; 314345145; 657296674; 185128259; 62724637; 530287; 700083884; 167937427; 90195875; 763434383; 446273080; 722671352; 851296481; 714583399; 732238412; 613358615; 771648302; 147599212; 62679099; 366831185; 692618135; 549428853; 397480992; 536423402; 826536392; 700017638; 428694186; 357028478; 652809557; 654217526; 254884790; 318442124; 890435470; 620730038; 339644998; 231641041; 972074470; 736930560; 513834649; 705171386; 827688757; 361500053; 820305147; 770723031; 780955; 697477635; 66676887; 224635772; 250413350; 883597045; 370034031; 78845437; 117485005; 650523452; 707261234; 53071220; 542665826; 492239443; 844620403; 151062914; 530429828; 570866386; 889836986; 852513028; 877124812; 491004399; 360965082; 437373410; 407506986; 159525689; 780031148; 85733013; 924200688; 381492392; 101537629; 21736723; 413545682; 626610953; 288859424; 636257262; 244911088; 327930743; 552600575; 450916319; 292172862; 111568563; 328054286; 621325332; 110885019; 713733385; 139232734; 217877043; 691880311; 906286969; 462398705; 199077325; 198514309; 575894576; 413180450; 692508570; 738364271; 19584346; 859648493; 429149089; 708483768; 289673097; 665730767; 206618689; 764712994; 819544936; 530208807; 701819098; 938986220; 578808324; 854730420; 471272344; 348422816; 907648145; 457531000; 555652466; 954595763; 552878318; 641939828; 391432533; 302965386; 606427723; 245959535; 854776446; 788701819; 200151338; 77012033; 605046571; 712554824; 368364350; 714978723; 896783878; 867627063; 8584548; 258852571; 967373145; 91327816; 432539367; 563891573; 794229538; 138277336; 711652997; 380973487; 149986082; 288711081; 845067409; 171807646; 769080387; 555352149; 265756569; 100840055; 804676883; 690084897; 779403310; 82961748; 781473762; 489370710; 939174123; 765328324; 152310374; 100299706; 870232567; 963542919; 130338559; 740553948; 791902866; 587333292; 508825600; 594171935; 982354004; 882159737; 284315533; 179151131; 369033959; 449272510; 767741449; 673505889; 989385120; 337920991; 15660234; 396752821; 148349578; 285974198; 317382005; 133240701; 698978192; 728816717; 171294009; 690312637; 483218852; 662050539; 769840835; 344456009; 972578508; 338653518; 805311140; 814893340; 796675584; 656771686; 170934305; 272496550; 304907609; 975401230; 954460639; 297144908; 423193541; 110509106; 707395592; 914470342; 969054254; 184935120; 748703052; 541619675; 427154610; 951600460; 641311944; 877195214; 530502804; 722380253; 957116176; 718728225; 44103054; 639157331; 742888930; 223081513; 284640294; 524793185; 72122501; 59484958; 330509048; 62111782; 557933650; 144145139; 720065138; 692078360; 597132724; 30693001; 749013776; 390240974; 74647718; 830626889; 259622477; 161304771; 946712287; 759525765; 854279957; 117541280; 121996987; 51392376; 906696946; 898860936; 255715231; 341027263; 194181884; 509388182; 878712007; 755369175; 17430653; 965240750; 778299497; 977158150; 642631349; 365891664; 835644530; 500899206; 823999743; 524359889; 782318744; 622172946; 95302439; 276123578; 213949625; 463128181; 763366080; 675644857; 49118259; 181707296; 173682493; 472296127; 943706741; 29747313; 558205571; 807792471; 982469523; 888895550; 280095919; 144414826; 740024061; 631268064; 31842639; 999662811; 904213138; 645597386; 735455498; 209235993; 523365218; 417389799; 941544742; 252333819; 185641133; 938751612; 48138381; 849423651; 615717270; 2528872; 606351833; 785380885; 304178513; 662371401; 480196532; 563714740; 739705873; 943301552; 602357327; 878528257; 762921713; 17708275; 243739161; 171636480; 999300979; 447987337; 238991707; 10539946; 562478844; 366022264; 687376929; 884552468; 754708236; 912344342; 631222881; 516431503; 45942841; 80177411; 730335104; 310585447; 492159536; 516981549; 717136469; 156586399; 279035673; 783180725; 299713497; 239655709; 14786469; 893392982; 609532634; 737883707; 263941297; 154174705; 747787579; 849656058; 881531169; 523800979; 97740276; 283304360; 159585456; 603217453; 84257009; 300264051; 272475898; 367033472; 890265714; 549288198; 772885318; 416489615; 982567727; 633876378; 468248495; 216975175; 136262387; 368690762; 493878769; 837756443; 668695019; 416105972; 697430960; 960926588; 535652424; 829384200; 444816866; 841672778; 920953051; 738844667; 28595855; 737823458; 523246641; 157547106; 401625148; 107879701; 296899301; 305812732; 803464919; 83104665; 726143838; 249524492; 98356338; 518017985; 480597985; 83982020; 740865235; 34082604; 188508559; 940331458; 347856047; 597322723; 871172084; 186111641; 57461295; 985992109; 649054792; 987894440; 121307412; 584984779; 282109077; 50331366; 814639378; 607417699; 797430778; 1058819; 843180137; 664040153; 221862435; 968683063; 225633120; 210548545; 166157141; 353764242; 892969953; 676725262; 245653305; 213287393; 120066203; 941592634; 715938171; 639963546; 721581934; 575728008; 557068999; 623995712; 963809622; 316467968; 417254522; 42278312; 429658844; 510840518; 173329206; 169456487; 804795272; 832127929; 65810408; 856518700; 507775275; 861007118; 409048664; 819567372; 160505175; 374763342; 923211881; 680275763; 297273889; 683410323; 349001992; 638717036; 75153625; 602548323; 14741048; 30582010; 579131825; 957811148; 614562951; 861682289; 660431911; 177982955; 652015059; 778192330; 641476241; 230878512; 980570989; 823149; 185753908; 757891053; 201645271; 136045480; 894766834; 927187040; 229459753; 287199854; 215824438; 458400491; 177298367; 64705957; 187260203; 730575853; 475026459; 910487868; 865755568; 430234683; 640178423; 249273473; 810452768; 930179087; 644627278; 378830354; 193259653; 243772523; 583534284; 787210757; 445383178; 25685025; 481432463; 345962351; 9190545; 240614507; 979847697; 928153083; 27359590; 488477314; 322489045; 68587082; 190285529; 206060136; 25183306; 311648274; 451628438; 854554284; 774038386; 688570847; 440233028; 354666620; 874809860; 56961400; 79834666; 246831228; 594134244; 413411021; 251102180; 703418987; 408391475; 123011697; 283637015; 657947859; 600746510; 416678228; 107822035; 279018423; 954550049; 482560537; 75811712; 147565199; 460859713; 708982326; 288755090; 341282562; 929467208; 805445805; 970670161; 434457307; 765368298; 796151554; 534155176; 293076276; 875800008; 497764664; 928827517; 221354076; 302483171; 724851675; 975172556; 447527932; 510158851; 557024194; 947725099; 498429246; 583050761; 214366268; 214773247; 747090352; 974290543; 374419351; 859927140; 24045668; 780352394; 173057938; 10498764; 152777800; 7844111; 43085717; 739526774; 666132624; 702673658; 957430420; 181894542; 537498439; 590260381; 857552061; 84064351; 225981968; 20217064; 62594820; 763813892; 991616215; 469784560; 327880345; 466834111; 868702891; 827822198; 813673464; 196020146; 333671578; 374290142; 246983095; 912150970; 484232596; 814708586; 631381914; 781286449; 381380822; 387700786; 304635540; 81043707; 232831261; 246190564; 600322547; 833441179; 513675274; 50890338; 254793680; 286115509; 219306535; 627854703; 480785920; 527597728; 489848799; 196049659; 712649370; 994301970; 227708729; 70015627; 669296040; 707749805; 680209734; 247597089; 485871854; 566226000; 558326192; 263399944; 133187913; 735589778; 836873548; 995883365; 228415791; 672218552; 36855774; 252964051; 970863793; 303097268; 394947798; 799487543; 357409701; 214958741; 40161183; 915628194; 74766847; 115871839; 605784334; 360649669; 214610502; 878840343; 938036402; 996776324; 985214436; 447274438; 849828214; 646850957; 815054348; 913412805; 734587898; 310066171; 887590613; 64486114; 587892022; 617564425; 339872591; 962776779; 541882791; 7811216; 303985327; 720473073; 872536419; 333160468; 526186826; 154405307; 220450032; 810843246; 769622606; 662053066; 936535133; 501101019; 716658374; 124407954; 489799089; 688810166; 475762460; 984056555; 232724666; 513104465; 566918310; 216886041; 784121606; 263337931; 563401748; 88057169; 783152413; 136278278; 60545538; 279493384; 67848431; 628970480; 80422784; 668673172; 952570847; 329147601; 608371001; 40171099; 101263523; 949414005; 838882185; 573464640; 913954502; 264477261; 651042643; 851338352; 989423919; 517178592; 750296087; 101168766; 841545322; 262593476; 503877813; 25113448; 970990514; 520236493; 93167908; 550763532; 339145020; 409635705; 726997377; 598051813; 351795997; 145333015; 550859864; 205128740; 797633888; 706853469; 703272855; 877115521; 700797112; 274758313; 449058010; 575893836; 282656675; 975334060; 320941533; 511194773; 894534591; 445828646; 713249419; 414650708; 559143706; 998160648; 327322320; 806413689; 550021368; 858849018; 598738894; 639054255; 895513264; 471099497; 89951434; 374670405; 774905755; 185379680; 367065075; 253648061; 748429239; 196120237; 32590725; 384558039; 440545357; 580940746; 630614721; 244927136; 413376052; 595665197; 320682122; 245164188; 215172560; 713320797; 172185151; 303743554; 416890457; 308504989; 31308922; 964610082; 894582476; 538240752; 504596225; 544380627; 753245640; 679285428; 192841047; 328319048; 471300935; 580269789; 582618550; 614477795; 562457858; 474694021; 592270769; 561298353; 732723875; 928485139; 686808874; 472763824; 889369834; 68246615; 783504164; 544001540; 999121700; 611668958; 980407129; 696912049; 692426293; 727029910; 620292887; 395534924; 202280495; 777199456; 875582463; 284103922; 187076981; 847749567; 903065302; 741389899; 675971289; 140499299; 178811635; 27263421; 800867847; 395145116; 66798157; 388091650; 901694029; 747090245; 884788794; 256490631; 587074545; 841331675; 611261404; 974902841; 332553842; 304821864; 407193435; 92485845; 877929591; 21312148; 112591880; 968892212; 534385952; 149530684; 580956619; 155772074; 40955697; 293393657; 904948797; 902807352; 199939913; 286839295; 140609466; 277521932; 648955807; 164383622; 175273617; 899213625; 442115655; 981699674; 786997128; 901452715; 163949297; 114201349; 243084218; 661245076; 365255861; 521650014; 389861975; 747134740; 907567432; 274264618; 506168907; 205894289; 676111593; 951680724; 406294868; 95827805; 936785955; 369662663; 917770106; 49631711; 210562725; 291161228; 322529256; 68666709; 942503192; 279012452; 735474489; 146417506; 901835647; 109696432; 632863083; 528116008; 10058212; 172614010; 407366770; 66389818; 170840603; 815986284; 521940212; 493671002; 186397384; 145869243; 972613097; 905207863; 96180957; 948906738; 105921375; 221585447; 544900304; 559123203; 49241133; 857207710; 915389351; 115757980; 504534196; 787465838; 644243874; 575056843; 528231467; 733936998; 153318519; 502604972; 718464293; 990149086; 33718640; 71948038; 401355033; 446925541; 162535291; 523114236; 926050596; 708440631; 604032815; 3312113; 895048623; 519008014; 75841816; 779131225; 396137160; 725362378; 996496845; 400036795; 169293920; 683054123; 359227360; 85389716; 571034589; 615555882; 827830688; 182318708; 63399022; 332486621; 938964666; 881218816; 716744192; 752372862; 152769088; 906431751; 623505706; 713150913; 110838280; 823473128; 236542472; 727789958; 626274357; 207930456; 775550228; 476419691; 151146679; 264757778; 203718402; 936597025; 540756823; 782072955; 937144945; 365137980; 515106445; 504703831; 782174015; 157333309; 997883927; 600818982; 338026534; 972567221; 254343502; 972496774; 147622321; 543032696; 148210846; 277387706; 26962444; 513439796; 815592025; 883089626; 340461306; 765187354; 25139628; 612981934; 869478335; 507251691; 458783783; 861613890; 150071039; 573365217; 687461510; 215147668; 569336016; 427755545; 120804340; 533602702; 257880606; 243825301; 425820188; 179996808; 159919222; 20773746; 750896606; 372473346; 443905558; 52777096; 925398106; 892602974; 536550792; 249072124; 463887921; 116336059; 966932366; 394536789; 115152217; 621929932; 523952786; 937215616; 72167527; 815891789; 366616322; 920045664; 578952860; 386555747; 174100613; 961484460; 267810332; 218633879; 580426562; 474526585; 858973969; 991953836; 73856924; 69085101; 52172530; 489771390; 896374852; 289779283; 853412581; 718522450; 520611553; 695392959; 524927187; 266253283; 393774699; 9080756; 303950250; 315276286; 392660410; 793886181; 862737991; 915928469; 697369425; 709689661; 251142924; 544437917; 324752238; 724809701; 302711667; 96504055; 891618427; 541560475; 459756736; 87683218; 322040373; 556934819; 460208498; 121367180; 274436394; 923802581; 315894119; 911681164; 852039935; 415704813; 325863300; 145788204; 298194353; 14300437; 209301065; 92486953; 221926363; 376872637; 782268162; 783620029; 101516993; 114608700; 613316652; 543172300; 672120730; 227231114; 896387252; 321718411; 122372962; 868200118; 916929641; 921218032; 594525672; 990653493; 292502085; 471659254; 158821416; 674924857; 176098528; 5175459; 878139168; 218453250; 787396854; 657975744; 113209817; 57706219; 126730029; 66263753; 893482064; 14339412; 854342145; 749741683; 281497213; 347677813; 850597458; 793919412; 499514872; 628261312; 939449384; 774419275; 545705863; 577541435; 582302412; 578906638; 324910212; 406421100; 736929734; 154004361; 838352800; 602222541; 44999859; 721906311; 123033182; 597119224; 396371507; 397905732; 685016360; 577840816; 904741822; 377776228; 610002988; 686704251; 574613800; 270442545; 967698632; 237152043; 869394488; 470755564; 983694315; 977648085; 612378323; 152162844; 368507384; 470092530; 702130803; 783561003; 682423981; 87702812; 9884061; 580678054; 521402089; 150050715; 717689080; 717854976; 768800254; 373778234; 663187426; 690523948; 358780099; 267218371; 122410794; 875357658; 885209429; 641043613; 765854306; 707530278; 754398286; 164008949; 233311813; 164482382; 241030046; 92179998; 105190978; 346985157; 492611435; 14060941; 582548250; 683260302; 698363934; 249195810; 458725556; 887742027; 959735645; 58424727; 960119504; 913848988; 431068902; 155733623; 420228147; 732933102; 906437447; 226762676; 914815038; 78522387; 401016415; 430479404; 373994386; 180166242; 460678565; 491282562; 583592933; 661497927; 272697030; 615462830; 818480692; 157704423; 454038021; 322646299; 939726426; 760537471; 952217740; 900432681; 221587439; 63955070; 916476614; 927518966; 125576432; 494816959; 663352124; 949480835; 481215781; 319882571; 596489643; 554480587; 153754651; 185007264; 146757568; 362250926; 893069636; 972186061; 466464713; 625199848; 252752498; 683513777; 505049176; 143577523; 520882855; 997345766; 179647677; 397433222; 849468779; 643395641; 553193530; 691351450; 923553326; 164205768; 736900198; 539899796; 812700836; 126546022; 355774824; 341328201; 453080677; 438912389; 400828783; 814377781; 36357777; 972777442; 847438580; 444090785; 321509903; 102932533; 859233003; 145940239; 626627904; 490250368; 874016922; 136325156; 26378559; 748244880; 749560048; 534475657; 931425758; 509463716; 107830810; 639200610; 260451225; 637324055; 186486243; 712276447; 549838179; 730799376; 484246655; 405387636; 945312860; 48950903; 243460697; 449010103; 73228044; 79440741; 619603598; 407485317; 651543679; 604192861; 180511088; 684644061; 521482947; 129294089; 275683493; 840792922; 580366969; 713151468; 401846047; 508162869; 770462477; 189707571; 492461183; 577821626; 899892721; 30267051; 792225991; 255958816; 484689854; 98018887; 441240377; 689787753; 76474737; 854806007; 409202531; 267247422; 103744926; 360928176; 79695443; 20597184; 682738919; 727206361; 640426987; 912022283; 944990728; 362948979; 371905153; 130127062; 925722970; 675624472; 237203198; 228470782; 738842112; 657619066; 482651728; 370957879; 80500014; 542905792; 824079230; 798176829; 870830864; 293636709; 533943409; 310858390; 292358384; 101712724; 813946829; 43182054; 334645815; 253921347; 942606446; 31442838; 475249830; 395062553; 83808451; 874530548; 498613552; 165461583; 819224926; 550688932; 501715316; 554837534; 820093269; 784122504; 255424812; 1081882; 804341490; 418979129; 29838670; 169714352; 995418081; 710699504; 247231126; 654252158; 406640353; 5954554; 899066316; 188410451; 988950482; 768183224; 763118680; 584894479; 594197625; 716387422; 604824289; 680159355; 306774317; 308761125; 725817718; 758909232; 858954661; 218339602; 968051836; 839776100; 274452600; 406683013; 577563758; 928071352; 457812644; 254507290; 597683907; 4010325; 454416665; 804849713; 770576076; 458607821; 249457011; 847069905; 431474968; 235307613; 833740754; 132015845; 205074981; 528944081; 94072284; 792771999; 244560380; 962495000; 456768040; 95224687; 724089935; 744385253; 975845938; 921764592; 928414002; 181447977; 845669950; 292953684; 342900506; 988039705; 791226290; 225846072; 704725754; 375635333; 689890795; 376413002; 919756731; 1839982; 224106705; 823079071; 375528286; 571443726; 131510099; 742937864; 990822229; 685889689; 410171494; 804674773; 364003534; 639186181; 452339637; 49223137; 113922173; 819679946; 218040538; 883322995; 782796703; 57154167; 732323014; 971562992; 213660041; 378742683; 918247605; 958875567; 3495003; 401805931; 212498444; 34134670; 908287997; 411002023; 451491166; 538882614; 549001309; 574267416; 349091693; 624635886; 216995349; 477606345; 160521636; 195612595; 902478083; 661096349; 607875922; 486998155; 662128699; 254327615; 450760543; 416060934; 501672355; 66997675; 142337022; 361788685; 180167815; 28852057; 700045886; 344098297; 930179918; 425376569; 146104427; 696798801; 146772764; 517999871; 34879348; 548182546; 34146834; 691758497; 50848326; 433993386; 868545534; 487297434; 499753551; 23904451; 257485803; 857755558; 827592947; 80301637; 468280797; 377375348; 975827562; 986593419; 483659910; 816580871; 996402484; 957662681; 217017618; 284899511; 360769730; 784760225; 609867027; 768303477; 465644257; 767929942; 169999437; 663635048; 681341151; 703192969; 248469762; 601669017; 924963870; 601310460; 961634780; 744962727; 9823178; 652984889; 412086197; 567215957; 667180649; 839845953; 981929622; 18592808; 410750525; 161533608; 556851708; 326454362; 971755456; 980806772; 821759082; 624520118; 406943131; 16204871; 732047681; 129389687; 170524272; 184243024; 129042299; 980825801; 617574143; 935893611; 989347277; 820031986; 630985553; 645402579; 538419871; 812365107; 417580094; 44437385; 11895061; 338332760; 276344423; 740060895; 906005832; 991295653; 575442355; 252677775; 388951234; 855886537; 323767990; 570721040; 766631751; 931326393; 994988010; 471186498; 678987620; 570662059; 967535714; 774247009; 729203800; 15033759; 222075846; 277743892; 512347825; 924498761; 60635466; 835933821; 147052004; 777241745; 44854682; 440154871; 24690496; 233738584; 56308577; 598007086; 963814576; 561719994; 818672972; 780569219; 564241230; 689263344; 668008912; 790557134; 806786815; 28588306; 295365233; 119238593; 147915534; 639803943; 841289049; 447205977; 226912415; 105515054; 41235325; 805913791; 349872414; 150993643; 53677628; 361870764; 893255497; 268701280; 910184408; 88803822; 259125827; 891916340; 642511329; 319813050; 794116009; 301694523; 600751248; 211125843; 784055521; 971299574; 636836323; 867626206; 493576363; 443582901; 186877774; 136524037; 243076189; 22973421; 200676866; 328692513; 420508317; 451373669; 160301946; 349471833; 966657640; 962719709; 874989659; 280676244; 920104613; 159001571; 42580632; 168151822; 278662634; 55401924; 138104133; 626433971; 496354767; 103772982; 32285699; 586273910; 571133272; 506497659; 380909199; 703333945; 528523985; 872532356; 469855684; 161160737; 94940528; 909625591; 815645282; 965983354; 693463067; 61975531; 147449717; 338790683; 343964729; 516945226; 518102604; 431322663; 720800910; 15118579; 815503891; 184138894; 69778478; 100864742; 689329746; 939551956; 946151636; 775326698; 310364574; 368539007; 459961408; 172638014; 629486367; 37316388; 323483178; 309419569; 263866543; 300112668; 993212917; 311331533; 348689239; 831344165; 199659349; 3129267; 51309861; 741499058; 111994286; 300925606; 786444082; 971562325; 265159696; 358667389; 487148100; 225955226; 440434595; 285239998; 792057782; 82848978; 171504470; 218454092; 616540252; 379268562; 588336457; 998007040; 226384480; 638257244; 80076913; 176947599; 470967767; 477790323; 924013282; 457524220; 336388565; 849970676; 193820907; 357919452; 785214207; 893567055; 720163328; 285229595; 175140092; 283853122; 628750529; 174123081; 861571311; 357976802; 257864974; 777615348; 569793544; 98070929; 676988906; 970394269; 998528423; 920311700; 548863396; 571481906; 30031208; 48162182; 315370888; 163987457; 488670509; 798059948; 590095690; 602425902; 572145445; 54583146; 352670036; 71458305; 524384731; 419882720; 627645908; 500674250; 411438206; 315487110; 347926083; 350553012; 812909793; 424702408; 745527501; 385533634; 650198382; 585910632; 203800018; 678341767; 315924129; 470275672; 374076421; 438390347; 192311479; 293429756; 846100744; 484992012; 79219228; 948593872; 148208407; 541661350; 383950217; 117767843; 267981443; 359546755; 510694585; 18652205; 915974379; 340016967; 316856932; 437087477; 440423998; 169573632; 252707841; 106889569; 243442399; 329472778; 728138703; 789657403; 198742171; 263431290; 601107140; 252565080; 267854602; 564648396; 362616408; 210691155; 350601392; 983130132; 453268996; 866306649; 336528819; 667061855; 205525074; 416068902; 72582702; 660370770; 21602478; 753978849; 214325740; 631993153; 13848952; 996994544; 124881499; 513808143; 462036449; 950411648; 938909904; 956914538; 401882325; 669815741; 442411536; 118477579; 782681610; 496799526; 259084482; 960603022; 8907660; 785510435; 280199889; 660974826; 391337252; 749431530; 996809580; 79583184; 735831170; 538699411; 3986019; 636863483; 607328870; 688231029; 731941397; 561263428; 923145536; 441266641; 397923396; 557841264; 564647729; 489836187; 185622162; 196538638; 902101049; 157556786; 312756430; 581287801; 905420444; 490683697; 280310144; 257071399; 788487953; 580841493; 580083473; 184913948; 469132892; 689726950; 247317255; 673386147; 933323572; 649976355; 582460493; 932776911; 978146704; 808566567; 131029178; 389151934; 377068530; 199725285; 401619154; 42900393; 445950256; 401021112; 670501212; 732136025; 291004243; 4280844; 144352032; 478437570; 136163062; 22439260; 738144182; 931008168; 632395809; 132860274; 271756303; 450485010; 430172904; 388951162; 916914248; 347124586; 30112647; 48430589; 549341266; 904671958; 325320312; 187505977; 847544548; 592423680; 161520612; 581247334; 622935983; 784235700; 130701899; 859397094; 420304286; 840548713; 851906099; 847825628; 558690474; 610894224; 409971589; 248449143; 753602440; 514229638; 875473387; 496771298; 238457611; 45913475; 705483282; 109035065; 812219169; 82945314; 686587182; 486315004; 515341846; 216430206; 371476833; 111020143; 987820446; 791638954; 189922730; 22289530; 504207376; 870289042; 522679937; 867944916; 241391437; 834340588; 335012142; 262910187; 734266063; 206172810; 426335011; 119983324; 174942817; 962253968; 561241667; 171284412; 636491079; 357164637; 757989294; 960188280; 297065958; 959613695; 366715119; 480805495; 680886198; 108434486; 658315368; 580781234; 298961435; 819648743; 448396682; 191769405; 413070021; 338450512; 793560713; 429350602; 5953061; 941928046; 986034853; 439545101; 964065261; 716612277; 582886884; 66263778; 391684569; 528441565; 922878964; 2368064; 847605978; 42857652; 656572241; 178917208; 819134315; 94677158; 77002932; 350045529; 797949268; 282995595; 94995093; 210941196; 630012810; 344612556; 752579800; 603312683; 134802298; 729330124; 684517737; 449255516; 732221964; 293508036; 830984827; 385150800; 425460074; 478225360; 953499577; 146273966; 535693555; 344786213; 782594615; 103596855; 532758843; 34613721; 155606245; 630807778; 889977184; 727949107; 323956778; 390745971; 179413685; 79501805; 970192987; 817448127; 733513172; 248076636; 958838442; 947924997; 56893442; 909701229; 599283497; 682630601; 848320509; 501929787; 806692048; 52230183; 896284241; 912833243; 925609230; 932936646; 692440016; 301874917; 185843502; 181644767; 727983272; 192332519; 670580547; 724973757; 591182077; 268460855; 735353334; 904235917; 188317922; 888930327; 309973167; 735630348; 764771721; 193606761; 20257391; 160163731; 394112810; 292556318; 236168651; 163911726; 120772552; 103920549; 973229692; 525147934; 887349451; 529528346; 681690824; 114054868; 701527180; 656479372; 47211740; 741707115; 667820215; 595062964; 134087781; 855107355; 976735985; 743817889; 222642477; 243084474; 269817752; 442614723; 685444912; 386159202; 682847519; 969327149; 643072027; 39613122; 329364727; 232843747; 444298841; 967209354; 641040939; 153142999; 498123212; 428851597; 849405915; 440639129; 871117178; 123596374; 81346658; 596215404; 906809881; 750479568; 567423275; 428882919; 544165548; 381462852; 26193817; 959211050; 212308337; 582721686; 195377886; 762519256; 31797886; 229761351; 647752443; 137400388; 711254972; 203521234; 874425518; 239562455; 947730476; 782944731; 174336441; 677112082; 97896315; 188683074; 995286011; 96243316; 366262804; 638476876; 413083525; 35070240; 983217102; 132945753; 176218134; 324538820; 469584297; 452525437; 285552678; 428454109; 249897492; 302435334; 942682025; 96680475; 628200075; 625315780; 323819912; 678361023; 471787648; 328490738; 287017865; 766087988; 104027778; 108620917; 549973126; 618670330; 684525546; 336399626; 817890626; 945553112; 546826216; 854261902; 213992804; 682834780; 227463102; 585275290; 603586903; 651670470; 947771924; 117214732; 518661633; 183387238; 248633075; 708735526; 562836699; 263981144; 564995479; 392835919; 656309098; 749484942; 989728035; 376119257; 962953474; 537921204; 281854422; 427358976; 966975887; 798653632; 532681544; 681364101; 721792974; 140288494; 502219879; 347902674; 559097166; 358783724; 709031787; 714634975; 956991303; 736448743; 312927464; 485319514; 563809517; 926212704; 778041080; 149258548; 874929181; 668642067; 234384280; 728838419; 103680275; 397840246; 984156124; 661898714; 796767660; 145421386; 839082528; 114697275; 180154324; 814022372; 312263593; 755598747; 147623557; 16294144; 213960942; 545488542; 313286999; 316314685; 155297346; 13783134; 535429706; 708444258; 93717437; 760755940; 880601217; 916921836; 175871975; 724729278; 637843082; 544964304; 814581098; 216771338; 601826716; 598466968; 453646955; 565333411; 463808592; 605619067; 79120383; 109341503; 920539882; 40448815; 264943981; 964941306; 535840515; 703724999; 392781304; 988846519; 146880848; 581516940; 461266736; 991942970; 351330773; 697310691; 275606735; 458196520; 538229558; 837311516; 320157928; 563841407; 443067420; 790259551; 937906063; 7734929; 629418218; 739972635; 253901870; 183927010; 594572049; 728960919; 374361201; 840045557; 481619677; 273079652; 2350465; 435355504; 83955938; 643126125; 803640365; 803729988; 623422534; 267249059; 26857414; 553460825; 524688064; 624494055; 95881198; 925034096; 2162590; 748495905; 810877147; 837111984; 132060726; 671523574; 201777605; 734685911; 324222066; 136012495; 745040898; 361327749; 712032021; 842382115; 235854152; 359031475; 386863477; 866670761; 235885664; 552572804; 657718486; 636140542; 929971793; 549125356; 655924750; 189815157; 846139984; 119076093; 146136363; 718109164; 199851215; 548904570; 917872396; 148761533; 612515835; 840088362; 420294069; 687144102; 395852367; 930249590; 359331082; 153013724; 810582189; 449456506; 255615884; 851499307; 300133549; 232994488; 600441166; 559242926; 953890971; 992881096; 651532658; 697194348; 861022377; 141951983; 715556227; 608870981; 822163138; 282846174; 309699916; 748617148; 825019626; 120516327; 547514923; 603699724; 499746069; 187287594; 796048187; 612887460; 246424092; 995999823; 225459940; 83960964; 758501974; 618085698; 544264334; 737887618; 63079131; 313131524; 453601555; 699137881; 580843061; 133225620; 71056546; 705450987; 754601523; 185556287; 295904860; 329592280; 225944404; 217627313; 371596510; 417268664; 700900190; 312972669; 903298303; 828271073; 559088294; 231974096; 344725102; 125767321; 528663412; 869516935; 943491247; 682127376; 306784321; 235294015; 301436899; 269292283; 816555679; 818126727; 393584521; 954516685; 344308938; 691826372; 278811066; 323303841; 332696304; 264936089; 488226740; 537166370; 724505685; 864681293; 988496260; 156143476; 597599288; 983070127; 581904290; 466934858; 364036565; 278930480; 926994905; 703371818; 772030825; 291619437; 419033482; 855161445; 299000591; 206283340; 960010587; 964323976; 989838508; 363854560; 596777835; 380853670; 366039001; 790439445; 935594359; 271674448; 230202471; 356539077; 245939830; 291836878; 709083562; 827374318; 467936050; 974766537; 899956474; 245152841; 134424980; 736463811; 746016845; 83795152; 789487271; 700611465; 646641584; 259346301; 362747979; 684366287; 51027934; 895278873; 481643936; 414101397; 931723679; 749222736; 251404085; 145667451; 707808044; 182242583; 141134924; 991902258; 77114999; 118980938; 842411594; 381208299; 231692597; 451232892; 912310119; 739076790; 341406312; 502643091; 155839684; 790200132; 370367613; 108957014; 102705540; 875568064; 588967951; 645400124; 845748347; 124346572; 201849797; 879850709; 60638398; 707878279; 633573623; 387949453; 589407593; 399939845; 340223721; 95958947; 798133771; 123577506; 690181918; 204689593; 723775556; 912655457; 675418641; 122373652; 342538857; 381045431; 210575632; 842829131; 289371934; 834062245; 87043014; 200804860; 642849830; 567598452; 152815598; 459440899; 237530418; 674542604; 956067033; 38367871; 905619929; 631789795; 282780494; 869335178; 900012177; 818885498; 224157346; 238512723; 52167014; 70098021; 900131785; 652237166; 142393312; 967410949; 48852687; 549505062; 151315131; 68107520; 481137284; 954372332; 349869726; 428867625; 661640439; 988392345; 562477770; 471393170; 590252585; 228283375; 882605925; 830431892; 56890864; 168720210; 67310399; 685321690; 231948257; 86815193; 351832357; 797204161; 306207862; 328799709; 280990138; 875638044; 903264057; 209458804; 612555855; 979321801; 111855627; 619822053; 248120975; 559092919; 703083443; 51404116; 161811033; 223545428; 401506770; 378865307; 804471811; 697678865; 894828203; 155496351; 809953324; 960051295; 509918443; 563499961; 384296715; 499056058; 774329241; 783285144; 569217708; 819543058; 21200376; 729790186; 959570454; 867112589; 317749624; 256766039; 980091400; 406701926; 838098067; 461138118; 676348862; 215072648; 625298807; 405887456; 612803826; 975445130; 746688059; 278737402; 701864808; 166514608; 896654911; 821765968; 525342111; 774106881; 235920200; 325168445; 700692214; 48332305; 160900224; 413821769; 439197063; 896268668; 811703619; 37660191; 393699640; 463788166; 617838295; 358278376; 798780230; 810650097; 720768406; 253191197; 743693715; 757890924; 32278360; 178775255; 286534826; 639642998; 61596883; 649262900; 618602688; 731365106; 446542385; 549782976; 614246769; 742633799; 870879290; 387598235; 821561904; 622268470; 555922322; 425016015; 178527934; 529314711; 189222790; 343391814; 742601893; 48855808; 834439768; 738259912; 986824397; 44205841; 465282457; 362436617; 281557170; 697252055; 421622548; 793275891; 472121631; 729724370; 113334202; 172107389; 945774381; 80163070; 659737062; 452243356; 741304242; 557020488; 25998478; 445754513; 843321643; 142655784; 926691461; 956266541; 299200232; 325041263; 582963906; 182884428; 810208714; 776663497; 935796134; 246794724; 753957204; 878846825; 605702752; 492279222; 514118294; 434581593; 307023033; 828379793; 863497756; 980708014; 307150294; 911378286; 751505071; 665564608; 263964219; 237983645; 440132621; 670225984; 833912890; 524153067; 554516693; 703913003; 375427253; 205811627; 711783980; 267010959; 255321173; 920653275; 678343582; 471694598; 917324156; 642458584; 43941735; 486824068; 208768226; 494618621; 808674675; 966711433; 531185651; 252954246; 496252267; 943661490; 540824821; 891995746; 597152184; 251646910; 778651072; 551825246; 231105659; 596865601; 274733551; 429630594; 320866759; 427879147; 412398869; 71647561; 748208189; 157662435; 872492150; 851710541; 919755601; 196422947; 819099367; 849479766; 221853201; 282854892; 774145641; 112487324; 126044274; 787461569; 112445786; 476172515; 443450430; 508778771; 5395576; 772173898; 21910541; 124237776; 180203760; 314337557; 744528824; 637484454; 8702526; 562019173; 173531669; 347089809; 321561942; 704271528; 965129958; 527464356; 465609029; 883248213; 41728750; 273360639; 149351226; 686622141; 842813077; 512184982; 18022676; 833705669; 39758546; 472058205; 182954011; 944480471; 599202214; 411924464; 722367505; 477484445; 88572130; 996774307; 908728271; 955738218; 322769162; 158627028; 473591086; 995793318; 631779904; 245479192; 278051091; 371823437; 566022223; 457146103; 535755660; 448174498; 280352182; 68680985; 730835832; 135910580; 387227277; 875288473; 443489763; 872466314; 923362864; 598554013; 409025615; 353050524; 257698493; 18631209; 900098477; 651152100; 364598234; 915113325; 478937968; 961732421; 406552237; 964167033; 203316272; 974350904; 523570237; 401100451; 438133214; 470177957; 686792903; 155498072; 738550700; 753626332; 853876646; 750451198; 962348170; 826185480; 734782443; 560061063; 575826394; 823818562; 717979669; 84388530; 951398669; 883458798; 226832531; 620795519; 92525922; 108589328; 843355577; 650157608; 520909801; 655283859; 305787552; 375750882; 28722234; 605010248; 449110059; 447652199; 793646031; 563131306; 971666324; 652448576; 376880295; 788743601; 735468533; 31965161; 310835020; 838042887; 925753086; 960112390; 545636609; 483477384; 761412924; 647930495; 422924217; 534777769; 357689055; 362449103; 680323028; 830205766; 590466975; 961173972; 659629864; 577257930; 181635739; 723387461; 614772090; 114533602; 224753571; 798622135; 665797216; 469430367; 888315891; 137048142; 387441032; 791558534; 158618858; 724555995; 829899136; 118945686; 408346658; 66074953; 836198994; 200733677; 990058841; 977021988; 645597388; 432968258; 602367819; 70608267; 85198549; 429248497; 515499713; 264751801; 829430041; 247121299; 560448993; 335526998; 552800864; 56619218; 126128790; 333810257; 834598653; 673858949; 917703774; 490596899; 597851871; 949283412; 375560421; 852190511; 110031150; 777373336; 573910543; 623960704; 317057846; 761329138; 898886450; 586190734; 368970180; 93611430; 49463570; 584113656; 48581324; 498627749; 625553709; 337168010; 635562267; 827020488; 366124443; 269775528; 996406510; 121939195; 155654252; 945666556; 653271735; 703643132; 375171106; 344743950; 32766206; 220872711; 847373337; 77796023; 851662626; 690615951; 165062786; 285135414; 47560482; 232866427; 600653309; 610921009; 946608452; 370659752; 299790833; 556797077; 317392431; 728996921; 882039312; 812101131; 541300161; 91291937; 989542177; 397362663; 973531403; 585584450; 981982480; 316039418; 662551037; 226915103; 203312039; 143976765; 701906082; 444690820; 802868661; 396580790; 479768532; 131383596; 371185447; 879643865; 130426830; 260811502; 448547222; 922420153; 383368891; 758309537; 40083386; 785278508; 617301368; 535537491; 117875822; 193695507; 124504197; 990371664; 49468839; 707942762; 256810044; 593974449; 233599970; 31655224; 904044611; 906498658; 617446460; 625281483; 89528403; 53993303; 926473334; 814352834; 654304568; 648489131; 737846091; 738205639; 296718864; 44141185; 650029042; 902426598; 866500627; 129073753; 321274121; 246275242; 441183119; 565390718; 705057017; 402143260; 755711259; 765500561; 974247985; 232362235; 945257581; 573646992; 675480090; 48897954; 966969220; 539643045; 125642860; 967919172; 177385483; 264547766; 448730589; 733759180; 100479216; 962184608; 449324466; 527173438; 620232651; 1044952; 874791617; 799175430; 898296760; 220025969; 747480294; 828226551; 659770121; 985165667; 916201836; 227931653; 770252648; 93338716; 72106530; 663457739; 891661893; 178804041; 412580526; 973077257; 650521984; 316426544; 853350714; 907065887; 705009272; 316153240; 992177255; 992846158; 771923063; 900470907; 493143686; 243324252; 24066574; 202750130; 40908373; 313466710; 803559886; 481696294; 686598392; 892411813; 450625766; 470761109; 113762999; 246395466; 352718947; 647615773; 947930311; 140405987; 341230165; 782699586; 395590923; 897340652; 276748572; 159229100; 563231986; 306441809; 951344915; 963418938; 858735686; 284719727; 25037538; 39519376; 328287270; 669581793; 340974699; 408799646; 237651490; 499872735; 391283659; 188930278; 14579922; 436349321; 39741399; 219903454; 316386652; 790332018; 496992050; 470225844; 392107810; 542286639; 683503552; 332990074; 501545268; 797877595; 851307077; 191451209; 593189406; 976476183; 918321591; 340620296; 558449182; 302661099; 582112417; 844539054; 352913972; 853947180; 681440402; 480309828; 312390779; 784437523; 845403649; 915154630; 41737835; 418090345; 906117797; 349325996; 610038593; 724067955; 356683495; 993853901; 462716332; 148537044; 73972169; 55868155; 203298394; 906864604; 916946577; 815084987; 353891572; 906977314; 782787956; 938121265; 133361503; 472549069; 652414305; 974730419; 426577822; 692131182; 216483115; 33029046; 512325951; 762412000; 550037408; 250169400; 482454718; 924596609; 295013073; 252338038; 495012452; 895549135; 748123400; 816076489; 994413346; 781832298; 951782049; 317176914; 430667904; 191375258; 447442954; 365645416; 393784330; 181436151; 713216279; 980911505; 504089297; 65076019; 732200793; 74283652; 489241661; 969314584; 31956688; 842248434; 812446840; 368730011; 448106162; 847435078; 549798870; 912049413; 324857159; 204461086; 97965855; 864245858; 946407091; 786731601; 187637036; 638243015; 547325436; 819807071; 470771042; 240526815; 659446570; 253216426; 529583416; 544137363; 678584562; 262948389; 813002202; 193256116; 709494303; 818194550; 321957140; 158070998; 401790555; 632402171; 405718294; 234198655; 449015725; 494852498; 434910352; 612575771; 196481955; 417211510; 52952574; 244013989; 304062532; 479964333; 846729316; 362553474; 428455502; 905540917; 466451311; 690422856; 347383216; 686096120; 166727250; 372543626; 803971123; 413072049; 744530051; 312646817; 651860642; 315617765; 198084912; 929952566; 676044212; 990101537; 846609042; 869201595; 491651700; 691213736; 177812976; 496589603; 3930285; 142498882; 351086654; 711706061; 513485816; 209016986; 198161565; 318175126; 358678168; 813550908; 791699733; 512842910; 761190592; 731977554; 101762387; 37165904; 563710129; 360917323; 771155987; 91700843; 333685346; 210741277; 351212133; 894445529; 990359789; 415394517; 709048551; 389320136; 897199670; 424202332; 902697222; 635339264; 213404382; 342834996; 730302689; 367146097; 841718042; 4313027; 806444681; 940519228; 979508489; 773507913; 599663776; 967439090; 629420342; 108327119; 35524987; 82559623; 717646284; 805656152; 123938029; 751486783; 89742755; 346532241; 375983428; 362705648; 656151728; 848359521; 960892428; 40268492; 724016588; 311541664; 924532927; 315322301; 46946254; 880835131; 725337175; 233766344; 747956046; 770317769; 933188723; 946460600; 864177419; 202009922; 272683751; 996809314; 404589018; 505837882; 400155825; 764075525; 500977568; 304999105; 54297704; 308255967; 437865517; 593531618; 895412304; 780615091; 68238547; 892242202; 383510860; 835955153; 288007681; 290077607; 725158530; 991253866; 293788780; 499353262; 276190170; 164662264; 814684918; 761601858; 797778622; 176538697; 485855967; 242199137; 922649146; 863508678; 978802026; 327919610; 26942222; 748722068; 124246020; 250811278; 72880381; 586980827; 920279872; 743185684; 440647170; 115741740; 276079905; 957864927; 774267402; 81995601; 432648533; 662176181; 963624365; 947057721; 654054611; 531487020; 719409054; 384158510; 579991564; 199667250; 776044571; 987282549; 649542720; 37020691; 295051253; 846724699; 359612190; 10653281; 637124217; 234492826; 540541846; 578177177; 517822507; 378166291; 867677699; 958440377; 965863764; 610905036; 584303209; 778017021; 240318797; 967976383; 248393477; 673311159; 535544123; 508829646; 947511145; 440416839; 398664266; 775721188; 17901182; 928525010; 822322956; 76724319; 623014478; 941705693; 693690529; 799833328; 288626941; 121536345; 29787496; 23272066; 913803437; 148025489; 506731940; 330899927; 936065945; 185207104; 81412404; 583456663; 92789617; 794426427; 554662868; 914244242; 641814454; 563110357; 521580857; 796274956; 17062014; 453680425; 825067718; 701019445; 488772760; 166482561; 845662949; 790848412; 607962624; 926785143; 100325840; 845605469; 536504365; 172738902; 950150836; 157103574; 624217053; 972972993; 229128307; 890024802; 99440111; 655833077; 272720878; 8001316; 386306681; 459407657; 206806525; 41044464; 504743238; 681902765; 551407904; 822265562; 119818230; 554751426; 872237620; 80765587; 526814195; 496555341; 362743275; 360166747; 362542046; 354383497; 210238766; 949475353; 116519027; 18026523; 141501759; 15744217; 483895806; 220949684; 91981485; 745007573; 816690628; 197997175; 679239484; 178139322; 17349598; 283982061; 969216171; 27927395; 908842560; 55970964; 66320655; 493289383; 51484036; 852337796; 461920546; 609830269; 706227887; 755299913; 316028802; 575294921; 237296973; 646033459; 954387313; 462794767; 938122610; 291992001; 179594118; 398210788; 572467529; 383985280; 522418100; 272067301; 214265724; 64405836; 716238503; 326584263; 959114841; 623204110; 957154855; 882436799; 564820758; 404911711; 948342613; 562074516; 187915643; 797667724; 286119742; 568673987; 199580791; 927453448; 820890341; 631624447; 411314520; 30920346; 155179461; 350791222; 503803958; 192577269; 481384043; 686254086; 559243539; 813885471; 555679068; 613294239; 955566132; 921243835; 555379746; 771984614; 619044282; 970100264; 631210990; 652446036; 581930927; 331033046; 987366180; 330874759; 962816051; 710078737; 459100782; 998577944; 109955824; 603549286; 452016882; 248992001; 907855893; 777689396; 220815425; 402526451; 971033199; 147585342; 269555788; 834701407; 16162240; 546823124; 630286757; 337582940; 349941940; 154747071; 119298487; 915857289; 190022260; 561795271; 553656373; 642416680; 319951043; 675516184; 946555758; 266939045; 144293774; 316645655; 436315339; 424686353; 509774882; 549240197; 202859084; 133531691; 393378295; 481901600; 368771988; 117382665; 810378115; 506524290; 690937952; 747441025; 386328964; 832528737; 342202166; 37409419; 559784531; 385545445; 717082393; 506362074; 118629356; 662734406; 132705240; 354586972; 69079272; 985016754; 488442277; 861389226; 616325334; 586913331; 897835779; 487999350; 696381688; 634577099; 627943557; 768398396; 368364344; 159548776; 368661906; 729559801; 652533871; 847380326; 537829281; 820589246; 735099440; 546023179; 770712513; 195096214; 51184676; 621271140; 77438003; 882970418; 85707975; 806947528; 253849811; 21737272; 584277278; 105047871; 778216078; 457377967; 367761904; 811455424; 897662859; 896918474; 953042559; 354996489; 6668198; 712435861; 313406227; 281123611; 872355882; 344591957; 387924436; 435208021; 284088565; 757485750; 428421091; 479725110; 435927011; 249390634; 828260862; 352897681; 691655779; 612760446; 557450231; 802356457; 150103935; 731250212; 621814512; 901783826; 759710384; 62099085; 497986814; 228689319; 693566725; 821415287; 609701179; 320669350; 901620111; 740576246; 892970886; 669029416; 282096076; 695132706; 614510480; 378360626; 413541925; 724723496; 94799794; 983704806; 778959870; 773072900; 645418474; 172206643; 496822157; 187570827; 636596108; 433258131; 693429919; 488058061; 305507874; 518749294; 504415133; 935823450; 864300094; 563827653; 702396493; 320403650; 153989627; 870023628; 279172692; 362036116; 843808498; 754112598; 835536626; 662973361; 926787260; 978833465; 370156026; 642846463; 612649586; 242945524; 324870280; 389294411; 91821006; 659346231; 568761778; 577646570; 668614049; 610191416; 801266223; 147325505; 202607579; 235877965; 521206449; 18072391; 491247920; 964209704; 871159144; 787595859; 470433385; 666756521; 111238272; 906974373; 619644987; 943309867; 971924635; 682491172; 610970958; 816464478; 551506153; 380296301; 845384560; 777178168; 627304729; 180782487; 257273385; 604623722; 549464867; 742955570; 140449242; 169698540; 939828557; 850804295; 874790260; 312562046; 239497357; 668948721; 673831269; 505813233; 854342981; 848276653; 78116846; 969973819; 187005413; 884876445; 786527118; 755741896; 975523179; 861218223; 72594163; 856342236; 955061670; 71671901; 593910759; 969252391; 962466252; 38276276; 633591851; 846019485; 23190085; 342341451; 612766864; 445533771; 265894038; 537389916; 166353085; 70005218; 863606089; 589031221; 482954853; 39851757; 471010607; 169118392; 467840606; 230535089; 384666057; 84948039; 566091314; 733625701; 243760688; 435349717; 967714962; 645221178; 463066682; 562759383; 525873423; 19386117; 725253617; 292729873; 918693485; 859835812; 787339212; 135322753; 699413896; 875357017; 175303933; 873464431; 300576286; 626326142; 397910744; 323942517; 300471274; 915629920; 21517828; 804960766; 791876703; 120572867; 873499367; 473882044; 987757669; 282881450; 95736448; 421292146; 714393695; 548569995; 376936567; 492453765; 480203167; 958575214; 349018917; 904050928; 163635792; 913991929; 975460601; 184743683; 736625113; 283011688; 150664529; 641802421; 497677548; 162207721; 468207625; 617276271; 971106208; 255731169; 37858198; 418024471; 865332320; 64177044; 536711568; 721723407; 547517058; 427782311; 513592727; 176914790; 953382157; 434835583; 503627301; 120568472; 823696867; 79104825; 625926819; 606348074; 921013876; 928090699; 703668918; 741217763; 648726166; 459005552; 193865966; 639402930; 391985929; 449265012; 918430314; 247871683; 526427781; 721251751; 575577921; 635735967; 160331015; 233239742; 414323421; 405041892; 423269481; 198896906; 794218155; 189728460; 870059533; 472499936; 305274527; 723668632; 955063944; 444927978; 671727165; 845825536; 661838267; 702583072; 128134689; 581116945; 578896201; 719162822; 864623712; 637926046; 649258254; 101257691; 882453998; 131309609; 179015066; 545450681; 514087456; 110801357; 312574922; 95844684; 974524591; 842610944; 451195769; 637728200; 837231725; 994849953; 115344083; 200931877; 693666554; 998179997; 943087158; 653619255; 584810700; 270750505; 35533163; 350605234; 824429397; 700395125; 610765952; 522958969; 250455713; 546099478; 732790117; 806679854; 370390324; 703127494; 605872653; 664916820; 697795677; 109285000; 12848291; 532125980; 930371759; 249008428; 504468020; 554182561; 152600045; 762724492; 521295193; 886043211; 276584874; 545862236; 341460909; 939995827; 421727484; 238783037; 603908067; 148336664; 924953064; 413346826; 472543538; 550008973; 440221293; 713306025; 690039055; 347809902; 132728802; 290599296; 366753108; 520884267; 577759492; 570052878; 58429172; 875302319; 824983291; 603667506; 685978649; 153547422; 695755808; 278672294; 778223620; 702153480; 154267155; 802710558; 834562236; 572544908; 820033270; 707853596; 929407866; 423996964; 638724431; 799301883; 445927712; 256211254; 45009795; 964602840; 614887086; 473764531; 837203556; 780870684; 198614492; 457100505; 118101105; 495015067; 404215164; 405963468; 879392327; 125063008; 337277397; 776761253; 387315726; 43255347; 289117850; 429721568; 833863090; 222855094; 733641616; 28916669; 654893178; 915685612; 790422521; 938926337; 711829846; 786695410; 199284649; 106983614; 785313535; 56824911; 666430714; 229034434; 867956206; 705437038; 311123410; 578238881; 625014416; 520587004; 28530274; 799492901; 519512425; 354354371; 359203934; 514037109; 579287066; 40980093; 798543539; 86417691; 623355981; 381866757; 922861308; 878081616; 504912285; 660888746; 118746150; 576676168; 206081698; 507473097; 584674059; 290605157; 491761076; 299110119; 9955174; 275454371; 392094021; 93319559; 223706189; 580266070; 908032828; 438271143; 428493344; 708933469; 20931259; 745337821; 52421785; 610288959; 71586602; 989659869; 342634610; 706586853; 631961315; 48986496; 312644007; 29766387; 834637363; 931945956; 460144696; 332035306; 786464081; 519715711; 140909116; 599066810; 525874842; 71173980; 407878913; 211554331; 636512351; 520133172; 873237549; 195016256; 976366731; 99996747; 67452709; 913600950; 257002624; 909637757; 567717873; 189602049; 885571169; 498002808; 168531706; 226972467; 582358104; 952602958; 957189485; 120601339; 647456831; 118376096; 822977980; 140262582; 478483929; 34894687; 952692666; 92611159; 339100333; 587067700; 694754188; 499023511; 398949014; 194530494; 503891134; 590144570; 886207477; 447895591; 456368129; 959528930; 33608168; 389718730; 808971229; 300743435; 868960284; 885760553; 510273656; 112921352; 778655718; 647806864; 456490073; 624096489; 646563031; 448403357; 929520491; 891166314; 609350543; 728330103; 278876507; 725933572; 100835178; 657142542; 450272937; 719438672; 665888034; 737955839; 222943908; 884821469; 985571424; 855411249; 62772463; 996688002; 475598332; 79079839; 904904146; 62894403; 633970161; 993814930; 990993344; 924172907; 972750798; 113184466; 135320443; 359322552; 104163950; 742715925; 879737918; 378847336; 274506204; 832370787; 991570048; 519150075; 478013526; 88848534; 969332950; 37288029; 696767609; 571942006; 675431001; 389323006; 617322853; 790580784; 388318327; 532313247; 907234407; 798742378; 609153752; 146245811; 130912812; 272152077; 479563218; 354968638; 345831936; 589166114; 268442094; 994261268; 460267230; 299625075; 985041278; 969638247; 467935713; 911095004; 494386141; 564815076; 601899392; 991105543; 269209594; 420541135; 338860761; 97609409; 197350252; 320212008; 538243644; 900677213; 392093095; 229727661; 290440207; 945731494; 264527472; 314641158; 201504846; 712821515; 397150366; 271527131; 382308257; 293827215; 677016548; 495822352; 742947971; 819303177; 821452071; 401724294; 71005403; 682268247; 610890273; 591195824; 865455197; 776828260; 141848417; 500825731; 480240463; 634818064; 640032449; 191860491; 428907065; 318018757; 817389079; 359687806; 573648856; 533958869; 740311800; 820227601; 86672685; 22987391; 749849501; 341859539; 818166859; 70993488; 707811098; 89724463; 115828962; 749488545; 151344794; 230705064; 530832728; 517707839; 647826881; 859533781; 883479686; 845500091; 704740477; 581245383; 386975655; 779783744; 395610082; 272447383; 204963666; 399428703; 911011983; 152799301; 283296552; 951542196; 702188635; 326132295; 3518524; 772401578; 914225041; 380946398; 514687327; 146843590; 491000627; 999145088; 922738654; 452494896; 190968935; 885010551; 601628037; 943242211; 502058206; 615485575; 763189649; 899244519; 624615923; 84602775; 894472852; 282740949; 24679282; 296728458; 171757072; 786211783; 400358269; 736916675; 915329710; 601321199; 438365468; 573205988; 697733728; 79423685; 174722553; 810295102; 423887149; 726560267; 701487460; 854738798; 361803767; 917926019; 382667243; 16857553; 770326447; 766454410; 925784730; 874537095; 422442738; 789163678; 518659278; 555171414; 137871610; 812321722; 787421783; 114427480; 608366963; 475651937; 259548850; 11257041; 105644045; 31030178; 200203792; 626072257; 881334152; 741024777; 246136840; 485612512; 290094502; 785608395; 364709515; 111401157; 448080266; 848748527; 202744637; 406207528; 951971976; 196498792; 219994638; 430753246; 41907921; 50090755; 507288974; 851100191; 150711034; 185184434; 363715005; 208372238; 442238695; 184775073; 330350084; 120056672; 911016541; 590098192; 292211370; 945864024; 595006327; 717549070; 453423086; 468229912; 510094179; 376925322; 801382017; 716185894; 866452845; 582785185; 937305364; 917679636; 675396144; 419710425; 203832656; 964444087; 978169792; 531013164; 433446551; 243074267; 555600441; 326626753; 676174870; 894295117; 87113997; 530887097; 565402930; 808346054; 731390034; 979424833; 945717731; 440783878; 14531218; 755145220; 397246327; 120678701; 491372993; 921306915; 173281061; 830988627; 695978989; 846905594; 721145678; 510756224; 467272661; 769762270; 523636362; 673605071; 641043672; 590034667; 772854796; 938943598; 547426985; 254491766; 501178618; 177416255; 825361164; 34815177; 449638180; 174911001; 501447468; 512828912; 341285144; 344359783; 576074197; 913849585; 207899745; 720944505; 666483169; 267852718; 25184021; 72214146; 913460738; 716315843; 582704602; 139527057; 194090549; 667803162; 976906640; 335051167; 817145750; 861104511; 190788338; 568443359; 793546061; 67955850; 645797138; 297456168; 462934768; 528562812; 790199250; 958239958; 575191807; 858772587; 30848023; 698502171; 668299072; 165842207; 845955454; 912517236; 383700310; 865379880; 507401442; 438831369; 761926130; 818389257; 287294174; 87140657; 51031261; 554711503; 101929939; 29117506; 554037463; 807331168; 668692818; 18987664; 807178993; 257773416; 858874415; 907912829; 68353; 376100604; 36135161; 205399011; 794573956; 132655420; 929044057; 103484174; 264933920; 241963438; 390128691; 131727401; 891818842; 380653782; 424036044; 750689140; 313280798; 159118049; 767204834; 316241615; 288378557; 743423444; 588801799; 41574277; 716344635; 955069987; 83979304; 931847016; 382153601; 407517223; 486743294; 313929828; 871591406; 946712695; 287892013; 988656924; 517690992; 92470230; 327528683; 778976042; 746690211; 785948116; 306413103; 579966325; 74269445; 681277427; 967012008; 451371480; 671029794; 320073901; 522310164; 476177866; 726815925; 676188664; 962201388; 394948713; 40819039; 555469125; 244769131; 773174749; 682308862; 363034845; 380280564; 818714433; 909003905; 497634380; 255580416; 197230403; 382868310; 708344239; 597555315; 727419602; 173559312; 719483213; 478438391; 865806353; 813666220; 619905416; 185710089; 464344289; 508100892; 421434456; 861675336; 882066241; 518005474; 207866915; 902107627; 470228399; 876344503; 284327746; 276995605; 807950067; 157278841; 797490110; 4318800; 979706900; 975161979; 108085643; 683530388; 619727982; 125393545; 269000322; 146545772; 93321641; 966940616; 610229022; 552020660; 967631481; 508325585; 828406570; 854437374; 587553575; 603566518; 691648842; 425491557; 924610976; 846353104; 754913294; 789764036; 403013936; 571715756; 66521120; 305571473; 816554478; 639773753; 27330548; 607821141; 599756211; 759617660; 47933479; 617397433; 270978467; 592437766; 189464596; 900039752; 387842213; 616195169; 509392946; 528987973; 502224993; 761059692; 756699584; 685902791; 992268991; 41870877; 632578205; 262155416; 257478846; 558436028; 971893265; 750985053; 774569189; 735338571; 625886341; 120948397; 652204704; 351926629; 57787725; 781755630; 852095836; 631986123; 468418515; 622166523; 121175670; 618256315; 795064942; 62391244; 75052207; 330593728; 774438442; 901635317; 995728790; 35449154; 977756089; 102222121; 536299436; 540336919; 665274156; 275895242; 435190332; 720410208; 51516113; 107847961; 617865613; 603041039; 97554505; 449853057; 992863026; 840853492; 287108516; 804613569; 536006520; 772405165; 620211195; 232413628; 128811559; 122881008; 991376475; 875267741; 532113662; 321693338; 975641371; 828848217; 518673573; 650212667; 950702252; 866785110; 902089554; 923694752; 421682746; 444991769; 780386297; 568398661; 760846942; 669726259; 424324973; 890220435; 989005638; 951243561; 571152291; 640320153; 129189337; 879292177; 758013977; 118523487; 947449045; 641568029; 926562039; 538009004; 738974908; 389545399; 975850450; 478549053; 885570328; 919903061; 548839221; 596395846; 679356941; 528544934; 664668733; 701827492; 117556191; 179941844; 433181650; 774470648; 30854782; 290528406; 468734480; 712337616; 772616748; 215428280; 99089571; 515908312; 406120275; 207769475; 33563275; 406690076; 113820851; 891849259; 609173176; 75147826; 140291627; 326972887; 769256361; 681967320; 276629243; 286826516; 64950423; 269008316; 809590292; 850939526; 58235649; 614939252; 424457157; 647537659; 358164984; 259016052; 303516427; 785984454; 601184931; 106030312; 5998727; 524504942; 812721732; 461157005; 178354396; 152409885; 516128535; 430199091; 168784559; 662354451; 655147867; 408356280; 187876856; 333515959; 601742036; 610390451; 196384652; 117989949; 650953252; 319813300; 23505050; 304530196; 313942510; 485769893; 830218644; 231045314; 619542891; 437965636; 44142073; 930451503; 187993125; 828840567; 914262260; 213381201; 733082963; 858152055; 15830047; 71270292; 220377931; 40124663; 849009757; 819907193; 791092435; 939876008; 65465234; 933036655; 414625652; 450827207; 656416985; 13444627; 598078943; 677025309; 361089149; 752988884; 834009648; 861506231; 770689207; 884130674; 177224345; 126612580; 789658899; 197956090; 915432131; 567012012; 625435560; 39745947; 113233257; 216878086; 764194283; 997352143; 992561115; 413179692; 741821098; 72198651; 845618824; 137099838; 152133575; 981003388; 545338440; 188568305; 41850756; 84836088; 485289799; 256649750; 815859077; 68143914; 698307063; 341770448; 831413786; 624812339; 839594974; 54603881; 827342920; 371916940; 64291861; 272802423; 595917184; 744552636; 145634024; 525806521; 273973587; 25103711; 357701569; 980437449; 11070297; 517708261; 321408826; 673471887; 987678893; 678824354; 180931897; 462753148; 166585117; 291764414; 312377805; 643609168; 699621565; 603420805; 674729788; 998413532; 33125482; 608908312; 789750750; 589034474; 415906930; 118897538; 586005049; 943865621; 221449237; 234385985; 619537389; 1186247; 748847028; 926973788; 397884075; 7631353; 470189532; 790612651; 662590249; 61841815; 102404571; 951719831; 493833038; 928184439; 443559631; 582039032; 537321667; 561701442; 352735562; 352281458; 561924203; 280540477; 146829736; 963498014; 240636694; 131357028; 305241902; 822732649; 994638145; 332115396; 667609932; 450752317; 120435524; 707879740; 140088111; 397844865; 477290642; 60185019; 81319104; 945057898; 904560343; 21211633; 189105354; 419211917; 658739095; 893774394; 333034316; 513776832; 982939692; 297688013; 366356244; 837697635; 385102842; 136481595; 133364596; 341798919; 519790827; 486874168; 968104306; 193761680; 616547434; 149414574; 503670303; 200884236; 22111753; 111156035; 672306792; 924894651; 326363250; 592093242; 439239193; 299249244; 769820040; 457033942; 412266044; 599768636; 881067733; 664392363; 744229233; 783673056; 522971663; 228860040; 346009862; 477608503; 979729505; 877812343; 472043434; 633095925; 156513369; 30062947; 93285489; 193316791; 810704334; 118258351; 657248994; 563149132; 481417454; 747715626; 823544454; 914145156; 691603228; 513384532; 832889769; 125946987; 475227931; 323210055; 88918569; 687479879; 188136847; 609867159; 771171326; 192609276; 218324003; 635857258; 830657881; 420054612; 659122980; 871737936; 803841644; 429712012; 456911862; 575360313; 474394394; 259342497; 777085595; 554873611; 72962591; 624853492; 130894031; 265773281; 335423979; 822523384; 852360455; 327410962; 970159470; 396262082; 559115473; 779473230; 957412248; 186592317; 713599983; 178937507; 632714033; 226757799; 361460316; 133814744; 318035156; 234564798; 292069194; 903468572; 640668711; 294600696; 762345603; 233738339; 761018882; 288143083; 871731021; 773927439; 284535941; 933853741; 34432855; 938049524; 558738492; 819107606; 220280890; 895246359; 78828891; 743247843; 188567307; 19833054; 744596923; 171180871; 453784529; 218020953; 249620197; 816791359; 324420951; 636927373; 19054373; 868174598; 4355293; 641901100; 765856767; 826232190; 615251323; 970684552; 317949202; 601216717; 731741473; 154589951; 838303922; 953724917; 726742331; 577700610; 896925714; 280269018; 114304879; 910803962; 375596911; 629852087; 587446813; 38935200; 489862645; 579644669; 12283158; 182627015; 55840171; 423769604; 480578028; 903644510; 804091518; 283620714; 657356463; 978530664; 82336603; 993304068; 324122030; 454509334; 19895682; 95719307; 661256154; 876394318; 646208499; 661968105; 323498608; 946548248; 789816041; 197474453; 558898719; 442635269; 200139859; 530812448; 158576940; 107653415; 758942285; 22710561; 927179081; 180345622; 95202538; 741789352; 53378518; 212105777; 891065864; 793237648; 584039370; 140370585; 444473979; 832823310; 736340801; 141431900; 684251461; 737884440; 64600103; 67493804; 316947288; 36127328; 422846580; 254806306; 959974242; 363084500; 275016657; 774677510; 272530965; 221088930; 451929653; 648398410; 966212964; 26514894; 700054519; 564060002; 173154949; 548896317; 518853891; 729528925; 68639878; 120838831; 79695456; 199013502; 672718369; 746464966; 445915479; 328105355; 317515236; 155510639; 370953136; 244418330; 155775032; 492062139; 791604821; 836361670; 684943906; 132293828; 472738961; 956607402; 763133326; 987520991; 556938279; 818308314; 28933877; 683792694; 90657377; 850189010; 498898825; 79206298; 141403914; 319375102; 706272799; 94896082; 560374497; 122825253; 434254997; 859064159; 81524346; 557043698; 551688060; 222762730; 390892170; 530719797; 993640707; 372561442; 29421243; 911054073; 239218148; 637355454; 233682680; 872032393; 276706807; 53544508; 299315427; 958134144; 543418959; 674184203; 112014589; 705022222; 488743945; 398360412; 678835383; 951879122; 725768319; 936183593; 208857879; 626302446; 612272487; 259795790; 91089748; 898979919; 580266391; 864820321; 232922327; 208846404; 160817685; 266315228; 540523620; 670384726; 636421928; 644561734; 137590652; 314421670; 636809183; 341291561; 912864361; 909035092; 874725509; 167396857; 388937965; 674225805; 129443234; 277501519; 45687734; 44804509; 125744423; 993152338; 200780290; 906659590; 830761169; 790566273; 573912290; 686982357; 19702721; 923276430; 149632289; 935500406; 929691314; 665773647; 531790934; 232851863; 66213004; 118340452; 991017212; 317358342; 27956076; 13221345; 722612922; 860850509; 801955404; 765265641; 352886477; 458462487; 846411042; 728413619; 586491435; 672498905; 57657946; 101828401; 452917513; 385957775; 801297834; 695327033; 869245891; 700454700; 51270968; 253608342; 976897813; 802284854; 565513441; 795363854; 486709571; 747292926; 981950132; 640455566; 390422546; 497852234; 622592028; 540218103; 824887535; 990218735; 220076724; 378928853; 164268993; 963462847; 338301145; 710065694; 402185533; 838763933; 79744760; 494361190; 769798700; 164005068; 750199638; 269746755; 73842374; 603921487; 310664487; 567517584; 347681186; 189504983; 643868484; 709403032; 828820041; 194735467; 733367762; 184887149; 477372069; 299675960; 8395370; 382433302; 951552110; 590678861; 79736603; 74348035; 119686723; 395283306; 555304268; 818358750; 414511910; 787750678; 617950923; 939761953; 197890299; 301290470; 525957913; 396360155; 35399970; 952798086; 229542092; 857788948; 79937065; 128834332; 433649424; 434552019; 744753323; 561411632; 750224422; 260224890; 485434863; 489915407; 228002011; 96170397; 629148245; 701504531; 271199076; 441768933; 180546012; 586874693; 835613994; 381225573; 334856528; 971472027; 993979985; 765012803; 186741209; 267675016; 375423615; 344462019; 945720107; 477099813; 390480024; 827151220; 881236429; 92694358; 39222831; 318843096; 94939668; 218005496; 995327216; 350509376; 179925556; 547187468; 593585828; 108462428; 864505417; 123803778; 537407147; 902546594; 426357508; 595603850; 67493906; 685464778; 805734498; 29267652; 479914180; 300808718; 516732131; 207787285; 338333397; 230992269; 181632445; 239965700; 652089195; 711660289; 732537723; 855328161; 846496804; 39567455; 987601267; 753259347; 856128157; 981658469; 539032052; 578720581; 366695758; 523439258; 192537769; 582806534; 249448233; 398800722; 11904593; 744753035; 277834366; 277865664; 640915789; 409827550; 480624867; 609199377; 259918069; 778018804; 192594720; 550083197; 459102990; 620972998; 710971277; 569069792; 598425016; 369472302; 370395730; 320248429; 482728948; 192468496; 914458993; 9448055; 832636262; 898183483; 800795616; 942917201; 4171502; 675058863; 518298336; 270953523; 692933140; 962958126; 247754802; 185611670; 665355487; 35326058; 196567445; 503295848; 535368318; 713870620; 478393132; 781202959; 26932171; 404173774; 204331621; 313197734; 634064940; 273637417; 282415107; 827912513; 109472962; 522836548; 693224464; 38963521; 619693818; 520992177; 37552929; 680292682; 972624794; 287322258; 147238666; 321437383; 696327606; 758818367; 160016805; 878925869; 12232036; 844254493; 756327217; 495109781; 718539194; 246368887; 365815947; 108668320; 546530911; 491436539; 54860055; 775855580; 226825588; 677154762; 168226368; 194776602; 941362910; 642540889; 39026546; 260070523; 262362690; 76662964; 631651786; 227657016; 378186487; 229236878; 989379242; 100917755; 236384820; 718486526; 98491189; 526679650; 995479748; 830769638; 35052012; 193365688; 928948818; 312013173; 366819567; 430026728; 441858553; 220322598; 175797784; 40192402; 850835732; 764103479; 13976796; 745377364; 267069685; 885060478; 142932452; 24981134; 713758849; 425227132; 417418718; 24979809; 144916300; 541183748; 302538632; 249791451; 149887997; 791852479; 250211025; 454652053; 396037901; 408639631; 627742012; 446095105; 914119014; 661316897; 376249992; 471397889; 961580133; 797649882; 832328157; 404357179; 95927791; 507276151; 635029975; 840460466; 344025028; 557406477; 566976025; 553558909; 189784698; 885377587; 785833439; 963143788; 835949268; 837171578; 837423977; 229858130; 375827991; 639086375; 673938889; 801036245; 603150999; 859533376; 303693909; 165750742; 101736101; 44962066; 812183820; 20034004; 565676334; 486500422; 690784690; 430908764; 538504407; 565550800; 261329427; 400867259; 140344272; 954963531; 814216125; 854893105; 708493273; 309518176; 325039017; 392223151; 149890151; 2570484; 77396348; 112383121; 67587523; 189606719; 984286081; 10166760; 690285657; 169310679; 714521256; 158809663; 522340591; 52186408; 430506517; 987408567; 87113233; 211123549; 185813879; 158283034; 928075430; 945123210; 500851468; 317679964; 837704647; 364615168; 388497501; 129241941; 120158914; 868595154; 552526683; 758938460; 504245792; 818237080; 245788574; 453509523; 879584038; 468810754; 743811965; 219249841; 247350374; 889753066; 695800277; 343905504; 879294432; 203697904; 168219166; 597661349; 661033502; 747619395; 425538637; 952013166; 737783239; 64076401; 225877397; 645018837; 470710533; 30345458; 604724824; 514154450; 179065553; 559238074; 184571933; 921495981; 851729940; 852213070; 387918754; 295228856; 113748673; 642756948; 404121794; 863041410; 30895111; 433582645; 600631810; 726972432; 961953308; 372259151; 992163604; 469363729; 544273752; 246564363; 385234583; 441290501; 353763655; 646584852; 520957923; 509088399; 697769596; 107512710; 4353361; 844157934; 980590015; 914136245; 109198922; 413173019; 234614725; 949018194; 281787570; 664332680; 46659825; 955705176; 396404341; 714363253; 756514237; 370869913; 198185134; 524712743; 562167593; 706474033; 692673683; 3809732; 139830304; 76213547; 598174536; 578784211; 175345233; 618963870; 507984877; 82378147; 609994887; 654865785; 552906786; 84050059; 406153845; 232576594; 356103228; 881031056; 597717047; 951336685; 653059834; 537505788; 592946598; 863313224; 462700394; 7565974; 343277152; 592645386; 686038530; 316418660; 42996242; 9544842; 642464432; 391747474; 755309845; 969359652; 419591220; 586192161; 78992214; 805986613; 79730069; 208597993; 918611715; 731757659; 18826634; 682042033; 232716276; 396031720; 442476755; 298880666; 261047211; 339889354; 977439183; 391157391; 514563260; 857666421; 738865380; 20010223; 643077257; 424662836; 186173674; 531908674; 725421607; 143866119; 616830440; 706274011; 684212741; 481249652; 82076646; 615961498; 603619087; 905454447; 446357941; 538427833; 552945206; 635370511; 449884311; 881629174; 133868731; 73319731; 816768317; 318225939; 925045668; 364365329; 352874125; 705448270; 832345397; 161884488; 752991258; 643223666; 479447742; 392808097; 568145029; 236564792; 563145363; 11329162; 559998455; 42620340; 636917042; 719262629; 840578500; 865164398; 738510658; 976784572; 949309453; 554113214; 453351499; 367772228; 453494929; 533259073; 242062533; 798294018; 943075740; 923180172; 83939874; 568960024; 262031770; 782220365; 120180219; 197144870; 64152971; 286540757; 450966864; 469826834; 99317822; 712705642; 212853978; 438061544; 758011841; 964545783; 132561705; 653980767; 116042332; 137792445; 249676313; 430785599; 704223678; 553477108; 151752306; 441922834; 650473712; 464364956; 258429454; 498005470; 717061498; 451978027; 178490485; 177951319; 890135395; 751590851; 104446103; 424704730; 800268132; 301414623; 74394557; 320262203; 85469201; 993202095; 116676482; 900417322; 702319285; 30570004; 899554061; 255572462; 506014628; 163532454; 380831154; 560198201; 499231663; 507143444; 845662777; 907027900; 138931338; 949806221; 943769827; 2215736; 46251876; 265765753; 181135357; 279941595; 941179821; 680561721; 276131264; 701635187; 830568200; 353128576; 787489156; 434323776; 690788099; 516280199; 401746661; 225390782; 502213851; 179692106; 177258320; 240766205; 700086171; 416523754; 698553501; 716007063; 757476010; 848256624; 501024685; 351017168; 154424179; 246356860; 260450513; 473867065; 605971045; 117848904; 549608083; 580437695; 346687622; 600824136; 98200822; 383148975; 495291782; 950988198; 440667096; 936190536; 263662692; 63976438; 413731032; 619267232; 161865296; 213801117; 117814333; 127553413; 84077516; 91787324; 496779700; 645084222; 649752779; 811877646; 663949324; 851837808; 234264807; 91544456; 844165891; 625508050; 570001941; 438685626; 166151797; 270611031; 332019547; 520211793; 931438959; 623793356; 828576109; 158931910; 301086302; 304624790; 898976137; 372475286; 414998854; 76392194; 10942261; 364804524; 441096066; 686718398; 530138060; 643042677; 119856675; 714395309; 541344147; 835831009; 818553871; 759409935; 901041597; 580490511; 215116515; 635850396; 225158471; 355850010; 197658166; 994010128; 901611050; 932090294; 853886988; 836009001; 524090586; 947234119; 240267261; 133484838; 28553568; 481248819; 773823019; 191506014; 403878365; 812342991; 510446725; 904172864; 497303236; 835549880; 329273473; 488602634; 653834526; 862666660; 678105687; 747480123; 704765712; 176726391; 594735329; 99126988; 995329288; 127828418; 889169528; 668889775; 213081280; 503982235; 706708564; 383441555; 843852229; 606104326; 131256033; 820404179; 598403048; 247583281; 127339108; 480251154; 322927581; 301723581; 577295697; 387665408; 514942445; 643216778; 620869848; 320750514; 416484105; 270791965; 545472196; 68129122; 75267416; 604055789; 540910528; 624866329; 278088262; 243841847; 490716496; 711533028; 481946100; 343911717; 620439055; 623832419; 297267067; 469038279; 529927368; 436585049; 11833712; 909982202; 34258174; 781700027; 998665674; 916021165; 561839542; 795864534; 204750891; 323214477; 109227457; 154098434; 973449834; 709356569; 102676052; 516217777; 428886172; 399369504; 396035960; 203623029; 972093729; 612430394; 157282376; 932588183; 162156887; 990154848; 951852142; 993162758; 576253483; 377961583; 836965452; 880023393; 407489308; 299540337; 715701703; 493016707; 169987259; 663646179; 991747035; 285966290; 10881209; 772726364; 641075907; 86610868; 557725688; 605000267; 629609703; 792030202; 455585075; 894841517; 84867395; 210497120; 741696959; 699715395; 216307811; 813273782; 844125448; 711432853; 633480656; 203545259; 851135107; 191160871; 238186113; 146273760; 830123087; 210204497; 221851671; 161074474; 95102110; 73398792; 928805988; 514041827; 24322366; 663909456; 766390133; 648073226; 977715558; 555466006; 583066138; 960107037; 705858356; 666770994; 510721632; 401444617; 985344089; 799915986; 238989421; 334312224; 579003280; 302286652; 324524132; 632520334; 968144398; 373132975; 736127038; 222602236; 637863014; 490958763; 411682425; 17203469; 910858608; 158670465; 424598627; 49331288; 359767119; 764806687; 923262066; 653991990; 552449857; 733903788; 346404766; 616817445; 47838526; 505961833; 573074891; 471554243; 94123104; 975392695; 828700141; 135253167; 796258830; 438811860; 515451624; 118734845; 900296449; 602881408; 268991915; 124542697; 412433960; 674133797; 132905421; 68634910; 831201318; 771853253; 396633937; 681971950; 571952729; 653920920; 264232443; 580300737; 893917714; 610777815; 567083691; 388705789; 295387620; 840648817; 184936010; 183745879; 287055169; 806197083; 217635225; 149883758; 902963958; 846785923; 610350938; 617197787; 945803497; 136861863; 169161890; 677975882; 164624755; 944044242; 19957543; 415490198; 57393653; 36715982; 187497999; 45111075; 773853478; 387154395; 360360043; 862195284; 274977725; 793492618; 540575745; 614592397; 680486457; 214479731; 386528898; 541677081; 809936681; 819008354; 962126081; 452209925; 181351338; 52892756; 13239811; 195175480; 480412762; 198047708; 528466123; 372411232; 334592616; 116281014; 736125436; 378555733; 718676610; 592941640; 783917350; 351998632; 409903652; 347660969; 360571244; 432794553; 347056994; 880076961; 487749705; 736609564; 117775326; 171628051; 229799048; 903381983; 207526193; 962612091; 168899183; 901788689; 20427632; 790541102; 64875282; 955855478; 279699666; 453410097; 942480367; 13325360; 74420330; 349060571; 772683833; 41449642; 823383302; 913903426; 613203541; 292779263; 82245702; 243572727; 410688660; 690454579; 799154124; 636959621; 693333011; 775309748; 544538918; 465911795; 765535514; 251901606; 68253403; 431237621; 245557824; 459316181; 48023858; 837930112; 490725934; 175665848; 138239139; 465252079; 784999450; 124160056; 499610538; 890691613; 407589373; 982146128; 977752063; 717271824; 325677793; 450896648; 736488361; 151056058; 774963882; 743115104; 551403587; 515423005; 743911425; 264563126; 345228446; 768733669; 134291634; 474457333; 199802475; 88158068; 125853859; 52136069; 762301200; 220702050; 205736246; 957710731; 20753311; 564530552; 351922182; 721206805; 28972260; 27710003; 143360620; 223744362; 43906062; 955513832; 627038753; 684329395; 631869437; 481393996; 784587928; 114535721; 42100020; 996456818; 84694922; 511018722; 751206815; 761067864; 137600225; 641111775; 400462674; 644787699; 78924879; 772419901; 554237771; 16846428; 133411773; 901394943; 428591606; 956403709; 255620889; 881209329; 370536613; 198051165; 277835584; 659144067; 573423225; 388248920; 156312078; 512999248; 974642168; 251222922; 401449876; 159806322; 300767581; 666871082; 276530176; 716573734; 765561623; 569161374; 601834360; 457970240; 579941788; 326580683; 611670511; 570015466; 103589576; 946169793; 877053449; 69370152; 457304011; 487634334; 834295614; 576839857; 289466357; 320427266; 199675035; 865842682; 429652539; 131074329; 408875583; 910387522; 674069750; 400107824; 319442724; 368652077; 450603056; 830764752; 954252778; 24031500; 441792651; 510337389; 413014851; 636685711; 129555466; 123373630; 329737764; 128732386; 815366321; 343374037; 927129943; 999170480; 968164889; 216382601; 748043076; 387492577; 8063183; 296266172; 680623209; 24161058; 282181252; 281976918; 579580250; 212833724; 896386102; 995161250; 566258261; 691615447; 480178041; 39586125; 373238458; 508059739; 781040367; 550279180; 422969400; 543006975; 748756858; 567076719; 678360527; 140170588; 112767940; 227563285; 113638687; 622873816; 958564901; 753791160; 130425324; 491039529; 515134871; 953446970; 196652335; 589391880; 238761621; 415772145; 989401531; 202073237; 269687991; 129947736; 803878448; 224511488; 417423467; 287303952; 347286334; 19666399; 83864368; 305009071; 180263335; 352668175; 940888133; 40675742; 391780588; 730928961; 45264729; 83617232; 622678347; 388182741; 220801017; 720535036; 858195298; 843312639; 720679688; 404606474; 813793448; 242656828; 257221449; 225263107; 437151647; 411881457; 149706878; 935498664; 509761742; 416589282; 466429163; 769381155; 801997049; 670418798; 388386899; 239043019; 670692938; 17779286; 297338382; 426407054; 755178739; 511157187; 472906658; 227303399; 49674400; 947414049; 865783845; 485591260; 134576867; 387586533; 644470902; 431048116; 624265729; 249109634; 546290953; 253433909; 801376376; 135987271; 586879582; 959656145; 674200929; 228201336; 270785441; 718704730; 977039153; 581670109; 113875927; 170847349; 59547601; 366351226; 221462984; 585360363; 126246280; 235047700; 931978651; 442385841; 162490578; 952617196; 685655094; 219379367; 877964270; 435883276; 343593856; 579458336; 485107287; 467181057; 855665851; 622149699; 144791767; 389935856; 963362813; 779131582; 262828637; 744343257; 259042338; 409929870; 27463721; 857614525; 82170948; 818887213; 581145712; 512442982; 780653576; 336936456; 711793705; 223200541; 917524747; 896910889; 456450958; 559101853; 41199592; 992446983; 61184599; 891313776; 851136312; 244399950; 604280468; 43129417; 995337511; 929130644; 510115821; 688828446; 514158360; 450314739; 944869097; 741251405; 345398748; 203899644; 262453607; 738877944; 866266807; 830825942; 224065317; 105020451; 648412507; 578190951; 769636679; 119071975; 662422710; 426164714; 896102292; 164860890; 660360786; 449482159; 69947533; 182212349; 786506934; 180900931; 576930655; 124362633; 967465459; 330041432; 866043221; 865500053; 617563979; 521516916; 820809715; 560538033; 135649780; 187751347; 42310637; 334763517; 868157714; 509671104; 830154079; 618022753; 415627848; 591726002; 758407230; 901167863; 633618370; 678201739; 56720346; 115689859; 496826585; 77974404; 362696755; 454370218; 876137937; 142556136; 106089455; 494117574; 990871721; 238158684; 602007626; 680810727; 434662778; 243808095; 872203783; 769805938; 831052391; 587106998; 860166301; 954345842; 715542816; 394000284; 355675601; 938401490; 756963813; 853077077; 865264478; 648603052; 126692884; 932218680; 499605822; 229487579; 654857550; 985425690; 10724738; 276811695; 114947550; 255923816; 828721179; 27216823; 896690071; 845970283; 132657655; 819198057; 512479940; 785436270; 329167001; 941262374; 128236649; 573170189; 802845498; 295009653; 975167420; 98135176; 495201121; 782752340; 755799155; 491065156; 724469591; 160599318; 340215728; 601092889; 577843146; 961966636; 957205065; 990169838; 537959348; 11612887; 868186087; 494604457; 825666729; 831777830; 718412307; 281755422; 285271244; 621642724; 28552566; 302018296; 346794233; 49618988; 540897688; 999356371; 551308293; 559293890; 12844526; 323880327; 223564946; 480215833; 977244387; 332881858; 504240733; 69078041; 787734876; 929822382; 540957424; 613615999; 253609112; 373826709; 821468723; 13749677; 411366717; 61577722; 917737449; 613228729; 51114877; 195397056; 904188602; 314135597; 256327164; 742182598; 128189753; 784471324; 151028590; 819791037; 125121737; 670106091; 200267500; 582098134; 451128162; 679993500; 618174473; 413276923; 904864464; 986498563; 855830764; 993218996; 896467589; 49984081; 52890843; 985408948; 616151139; 347950453; 496060071; 726543190; 367472925; 642263748; 246497331; 859685627; 443491024; 530737175; 554145289; 64284170; 506393850; 904673227; 539339407; 657919107; 391777029; 604242305; 352129750; 567645060; 249091623; 10920858; 171940620; 147819116; 737814263; 425568189; 160210012; 370335974; 939803904; 157837801; 341913530; 562763206; 514188755; 179849911; 234163298; 401256952; 497116443; 853686616; 715279776; 562928190; 501162838; 973989916; 94088193; 776711738; 234318552; 207846253; 822616858; 610266342; 611041831; 392711278; 278213824; 360777707; 421842259; 731241480; 381976156; 805763914; 536749486; 995929491; 727855293; 680077144; 322194363; 584584774; 687501290; 753199803; 295218307; 613572807; 415442471; 346245760; 635292526; 929931245; 677645222; 255646696; 853111716; 869110745; 681244073; 707863195; 719935020; 170070552; 445712741; 603368423; 478656808; 109199408; 273269459; 112034796; 202495675; 900009426; 897386616; 166292266; 760855832; 269006687; 350203518; 892493590; 581403191; 133115286; 196970394; 67208859; 20895082; 802587039; 559784329; 58232541; 740283967; 569161574; 171566233; 649260580; 686409143; 80509102; 982351066; 756005477; 426015499; 152288189; 844021452; 233671790; 568674414; 705966211; 762784458; 411796085; 660834650; 106660923; 856357025; 176632510; 135497634; 705294756; 678143016; 410081204; 343469639; 956883004; 946833604; 978049024; 271338832; 63285654; 781751320; 408883740; 299782378; 827816470; 390967301; 632309601; 172327129; 400236993; 669793567; 594358469; 828832935; 560348474; 680432968; 992538625; 580106584; 987477635; 91352903; 113817334; 425905169; 5653723; 335592971; 588135826; 592940579; 666667994; 664088827; 164324478; 850008884; 825729234; 519811043; 92006825; 852420820; 863721517; 376603663; 690434479; 464782046; 408435957; 410076310; 338495811; 489271809; 386145061; 911776722; 638434646; 422353554; 868841015; 724580266; 125907457; 374837418; 432785441; 710424478; 607439367; 891399258; 564675560; 463930190; 516043139; 140634698; 702682662; 383077777; 994197459; 577236444; 24068696; 443869467; 851456881; 102680463; 847931820; 337042514; 837031926; 449968828; 964609093; 516117737; 286941482; 315552200; 260913442; 240655364; 357835023; 270122746; 753464219; 485731944; 379260874; 318064609; 383026285; 868791314; 538794102; 65776310; 456507716; 630318141; 821749620; 167427153; 93048447; 599408023; 628216022; 856626963; 594304974; 225072422; 196987752; 533896419; 609144113; 215422242; 610416008; 266486218; 755165418; 5588754; 231084245; 568783318; 21760100; 539772731; 488989953; 807191208; 441198968; 79166961; 682344576; 920874900; 589886139; 238946485; 92701937; 675021849; 138188763; 341554781; 695630531; 395579009; 184090111; 796722307; 423905079; 422644276; 400353212; 531181971; 654947221; 933331765; 827287279; 65953194; 612137667; 973975366; 798377496; 796048626; 531447863; 452261119; 613202164; 405945685; 10768147; 722264958; 699967470; 71196800; 990273415; 128104298; 1572187; 515484266; 610907566; 782502411; 90041948; 825266799; 893689556; 515354570; 342078763; 449937545; 46788300; 861384705; 303644837; 885858797; 269047819; 902492503; 989784050; 519012518; 281685760; 555853639; 470795634; 868702884; 673481741; 794973254; 287187283; 943280008; 468439656; 909599894; 661092171; 254121163; 779225894; 943947176; 283135024; 67542385; 575081536; 942400443; 616103746; 315264446; 691245394; 338765418; 137392063; 636714171; 20742275; 995482811; 714270265; 322940278; 443839245; 473931811; 788983174; 38511774; 830262468; 331502938; 269736134; 408612195; 540769439; 192165215; 834113119; 244589851; 145004240; 159187470; 308416803; 721038751; 343015873; 187278969; 120578709; 123453538; 723929131; 620938676; 513423445; 366545173; 851100840; 621427579; 591865265; 732891744; 911635391; 504657794; 58146358; 164737614; 589526357; 642411959; 651820696; 441501203; 637106038; 743793969; 453307334; 350327729; 127529889; 615521578; 849842294; 817072478; 915440095; 915563969; 825798927; 402915594; 490641805; 167457644; 779031114; 652959876; 804992988; 952977433; 85826132; 390335419; 878555126; 94106321; 745667577; 34070933; 374438161; 44552877; 828935426; 338114805; 878905387; 630196847; 375650837; 871288654; 249628253; 545675790; 724260007; 336614169; 887648051; 938953924; 625724786; 264448121; 684029257; 42731856; 374024472; 462460815; 960597604; 529835600; 811144546; 101648796; 221582373; 920543121; 992634067; 765449221; 488362980; 973315534; 754584342; 403655422; 73020675; 557887432; 441708121; 492233411; 163047537; 172823869; 740713513; 858680134; 904597207; 647230726; 801804459; 170743948; 623846328; 945051053; 293709287; 860723153; 821292002; 367822775; 357843361; 988234544; 717761181; 552859133; 459818045; 70414324; 764625989; 994660554; 42457691; 840115939; 808752244; 541396746; 896248129; 592444475; 248802462; 748307470; 439783499; 234642317; 788640870; 806063173; 693323916; 622956645; 618331006; 868382260; 286735363; 807452734; 1831494; 322175432; 850358136; 329771940; 555357211; 929364831; 92271618; 674502065; 595080169; 101648602; 13692461; 497376562; 620798169; 189312659; 911448371; 556063568; 120485134; 510864467; 78599572; 304043834; 183408810; 647152556; 18582163; 535397348; 451877312; 524303195; 868238743; 514247367; 491921841; 478987176; 185089922; 217882113; 32154029; 32645372; 800168654; 934941351; 631765803; 958833826; 151128701; 416507191; 351424902; 95976518; 883379285; 77454540; 90522610; 679638838; 103816421; 63693020; 962122852; 987055622; 926360872; 20774208; 88699291; 136109667; 263104216; 842969579; 687452202; 717966806; 153686592; 268752329; 798632545; 887611084; 375968202; 201387705; 445333263; 379971413; 835221660; 471428513; 698194025; 537166645; 671246018; 551999051; 670385784; 520067201; 18254184; 649611376; 128601041; 983389510; 848108113; 669402525; 802408807; 892717655; 357844880; 221175636; 719960826; 594868980; 839371547; 71482749; 882682265; 731491298; 961802294; 649473451; 944500387; 96698705; 915752940; 765778814; 335203419; 800969379; 990018191; 28869862; 901944668; 946148335; 511877469; 806225446; 504945117; 618041703; 168106989; 170224202; 848004333; 42630905; 369316596; 412867520; 402788439; 930143793; 560205078; 516097110; 47310991; 458717047; 434761447; 217986867; 405158407; 482483810; 501229557; 82557542; 705132434; 297499464; 103847; 654922936; 370748456; 612793768; 177408662; 902803209; 662829086; 107453472; 587812063; 296258828; 137950578; 873010851; 662183253; 396362085; 484813478; 6389232; 864615027; 920068008; 177505851; 574821480; 783077735; 274489798; 258333936; 186907087; 66377494; 237098834; 790585734; 399854894; 156959830; 978882095; 205818092; 706267974; 259471569; 156040394; 995800449; 362379418; 518865430; 492673552; 173510066; 926502002; 4850915; 678104611; 348386618; 351606762; 271564106; 5230826; 473912173; 640971245; 586297108; 410596950; 522066239; 254967840; 641918835; 455260747; 41235756; 27065300; 96371202; 382763078; 130898242; 604855435; 292160718; 66467040; 324634475; 200561726; 44879055; 696172916; 339079082; 158449969; 803807586; 472309279; 99604716; 49342924; 415150489; 920757689; 75316062; 854360838; 136671167; 341310932; 357849806; 334886161; 218642234; 274123715; 871124150; 750309254; 468258313; 348104506; 975412421; 582302809; 130366616; 567857022; 25609836; 308055698; 326509327; 493409306; 130125066; 846887654; 608602476; 863190692; 466729366; 120056417; 466191554; 841223939; 467004459; 207721624; 778454369; 109333349; 122822652; 110815381; 474180055; 629936199; 13631685; 77688366; 931945301; 444661141; 413592969; 546423107; 861402383; 280076997; 788446543; 717791870; 661796783; 964001009; 150686025; 250484406; 731330428; 425811355; 118810566; 387511142; 953929342; 276955634; 979606099; 470545853; 211437355; 837683813; 120883545; 755900811; 309828152; 338658307; 837855228; 377094933; 592019364; 623395790; 106261809; 668227238; 963733491; 665449596; 140006078; 732584940; 502817284; 734468190; 922176775; 633127270; 832736107; 954896342; 105491157; 47536256; 509811800; 436310101; 225400667; 999059131; 206495121; 270530629; 924285803; 469558477; 972024392; 638826172; 307803688; 210609981; 889363455; 513151769; 630428280; 545087571; 564133366; 884009262; 530783328; 448454371; 272826122; 524477482; 883786649; 974148297; 221000849; 212535749; 996295367; 922943409; 893235409; 375847468; 931517217; 140579008; 118701344; 904183613; 805741520; 573446906; 198563486; 709297168; 714658062; 371744454; 141712512; 273582577; 537344754; 816487291; 805407665; 111128174; 864897705; 313285897; 143080484; 600159709; 260411502; 851937049; 578864434; 6987509; 180899473; 864261480; 397152742; 44096061; 901685908; 634961620; 538402591; 348079279; 793434643; 559315147; 399616382; 806241820; 96275679; 95340678; 854970309; 563755062; 730772090; 19057344; 202907651; 367854990; 748368019; 548446243; 703117609; 893964082; 916648413; 757179633; 362508502; 411022593; 702221998; 289555465; 236577127; 761230317; 90864142; 804424730; 231830773; 404013701; 21575411; 828103781; 132770371; 250520445; 551820924; 445225982; 963232197; 704207618; 155925033; 563574677; 394173729; 590113805; 513000087; 72493086; 399943929; 232786968; 233020745; 146366806; 509333756; 67712378; 865656825; 787499691; 718316945; 170012044; 178561215; 6187717; 989304521; 617851954; 592617357; 647125336; 39831771; 191699611; 964679545; 512266591; 890080878; 29845027; 80599519; 627792001; 168253028; 471082912; 516187306; 555380899; 761264117; 562107546; 603081773; 759706778; 953253095; 252695570; 442133684; 291538349; 616034323; 555101288; 116154759; 655494341; 987306407; 167398405; 313805093; 125812564; 804025166; 119146628; 921524933; 415106267; 699450195; 585063801; 105083187; 103179993; 831701738; 65083527; 890501606; 723257832; 403128265; 675513398; 928693681; 234489942; 493192486; 644951015; 958511751; 91780026; 492836745; 516017701; 991411105; 502159308; 65573484; 736073705; 83721630; 554854396; 615801963; 830254765; 419287575; 71531643; 145316977; 5953234; 984878428; 5958478; 767653192; 69765561; 866064157; 100517817; 436374222; 744213392; 850703306; 459063239; 490834774; 218074655; 503919010; 524498853; 163217401; 872622980; 738972266; 508919929; 185597033; 476230551; 187015624; 359589679; 719062191; 204114833; 210005049; 532287004; 745617921; 205174414; 654135254; 143389168; 143285918; 745897274; 91574410; 740070416; 806813654; 959960762; 534474811; 324130264; 433955674; 83743968; 115798870; 204170071; 911124473; 992782490; 397584727; 289140431; 90796386; 981917511; 613310810; 368287370; 655603775; 212147659; 831478867; 527522006; 347563522; 952813334; 832555491; 143823113; 778976664; 507048630; 991650215; 834794626; 957383415; 538741353; 669599669; 721949440; 928924344; 820412715; 359648348; 296980747; 296673781; 203557231; 750500086; 95116466; 978943620; 742488043; 193181395; 66125604; 724838871; 892093404; 323385064; 775202645; 578364831; 790949704; 132007904; 651991843; 27566159; 870865814; 696317730; 825459777; 620613373; 660498274; 485347967; 179014980; 479992519; 438968610; 165947377; 547586057; 717331785; 778015918; 739824756; 888033091; 308660753; 292734602; 349437478; 896487128; 585556918; 4368643; 112781041; 519006896; 349617809; 746075483; 869917694; 248999853; 878942712; 34818780; 8924499; 389585497; 14700458; 713822251; 413800940; 859187465; 730870497; 309343405; 903951097; 299654501; 35485800; 386793394; 500223649; 592355845; 171340083; 194991175; 263702661; 547326774; 342037025; 700663182; 640643752; 755106537; 64606153; 912998415; 541057818; 821272097; 522618014; 635077119; 406335705; 169482339; 577754541; 547028214; 566091516; 927377676; 434033893; 841352554; 776912461; 617050551; 704057162; 777563926; 767343073; 579237171; 200863035; 266654105; 931091602; 848858707; 58435277; 476417496; 361746404; 873355723; 230143981; 595575387; 247833505; 480280841; 853821754; 870371100; 118631591; 801864093; 393806780; 201074315; 95559659; 92043410; 690653170; 29021302; 318247683; 685319881; 936472164; 395170668; 494974680; 469956961; 135699347; 284917338; 662010360; 223443770; 736287867; 533246416; 875085386; 750705677; 948066842; 342707089; 945349979; 464687976; 645089433; 254388690; 229526915; 19702356; 449160710; 147532796; 80072934; 550537863; 359451834; 268987766; 742869714; 716877429; 901844286; 71328464; 724476869; 739466572; 125183006; 63895764; 938593885; 869924595; 481397714; 648544074; 179444622; 737795986; 286060192; 819523374; 615922312; 242161826; 164548247; 415488641; 734277622; 736771957; 176281113; 868769390; 160241353; 123799421; 983039895; 468842361; 745879856; 212445169; 986841578; 193466893; 68645512; 215707719; 62587197; 781977045; 104875318; 104002903; 356742139; 179133845; 595886651; 940331889; 752356316; 793360406; 466691149; 283641502; 481017365; 882357875; 259596164; 578780503; 802830518; 331586276; 105805103; 86762051; 770236173; 856117112; 797768968; 521083311; 368017840; 307064337; 202528900; 153212412; 348606926; 767931534; 911324104; 562129742; 294677794; 605340488; 335914873; 629718733; 761656219; 599334657; 807952957; 500261897; 538941354; 404270912; 75163726; 646206179; 113007956; 15034565; 765865793; 432828878; 528579980; 935071531; 5441345; 892658477; 524124317; 709029789; 972207681; 856012623; 599574242; 194048614; 514421465; 625387639; 121306242; 196363314; 558630420; 380790085; 217006171; 436664947; 178517152; 747521116; 590617007; 320437541; 129748803; 466439063; 984354422; 591341975; 811468058; 863960287; 350863909; 26870133; 116800540; 201385516; 825236293; 830267689; 982326710; 721025283; 925357580; 899149610; 134646773; 197183806; 131467992; 163882496; 756108813; 723418698; 328454316; 271390574; 541506527; 328971182; 515471040; 372630721; 120586683; 905578323; 961058400; 124524577; 919242947; 950899838; 731493056; 223403028; 568507856; 162814962; 922243874; 634492609; 693254352; 374518011; 958559539; 777870265; 999963579; 570258020; 82218923; 348148182; 999160936; 302865939; 2895141; 836564971; 478324626; 265258277; 571175425; 185720148; 742450386; 318389562; 685026831; 144719388; 514230998; 222805693; 450912345; 741036615; 629805722; 650645932; 616804566; 422833893; 522139719; 223933367; 298574858; 581916634; 997867888; 972711823; 246704148; 285943955; 719835532; 16871216; 302860592; 533534432; 163375680; 784207651; 326133399; 481647449; 212903947; 637698021; 828929124; 639018732; 202678520; 601729385; 209365694; 462446915; 347033958; 100429171; 413841950; 115744729; 784139474; 617414456; 174787055; 758641147; 231646514; 524324307; 431373272; 78530762; 416222699; 120632316; 402765731; 925705600; 812010576; 640675362; 453841126; 643077563; 100391697; 895150350; 18884431; 770781143; 233959873; 211840359; 703366995; 454142762; 683807283; 12797375; 194546604; 439599005; 174653792; 632432419; 684331318; 595132702; 727773633; 546833873; 934002311; 783370837; 69245561; 760441067; 685483524; 848461277; 908135486; 926535366; 650871529; 875920432; 438079853; 40223898; 419631893; 201278466; 692506120; 463411904; 873748048; 775450678; 23669713; 787819789; 727738336; 256955915; 59462329; 774266353; 566039555; 708677781; 665095786; 27043998; 269373692; 126826124; 197641360; 335576191; 565540913; 270824504; 306623760; 78274323; 805020688; 304584936; 407566469; 921637097; 263190110; 642483460; 567788112; 958335374; 597888384; 585144564; 596672686; 365690253; 547799534; 537728422; 975030759; 675397898; 545060276; 556883943; 709153779; 870151682; 716020453; 184741470; 572300541; 28206807; 16489295; 769618223; 507211926; 147331555; 805886414; 516004932; 846661971; 279521165; 924182045; 285444265; 148835582; 558514447; 231334068; 261093528; 50526602; 241189350; 71554144; 974583780; 931476517; 477549337; 976537328; 230318722; 948671629; 710021283; 241997541; 201000930; 207748484; 191342710; 497211950; 687124841; 666202894; 79455596; 927357622; 803706141; 507044471; 890433624; 362087713; 939255269; 943975618; 603128659; 611822797; 536993080; 293307231; 165261329; 170725509; 611869809; 721902697; 977527932; 799355625; 913850654; 422756901; 483411235; 316600310; 248077831; 152061841; 919228294; 974712707; 776165460; 532983923; 312356887; 215797277; 785754902; 960276867; 214040904; 753018336; 316015000; 941271662; 855983207; 81579854; 535480668; 662667290; 89988334; 710727630; 211045253; 473026046; 44612662; 174459135; 735202536; 178716966; 221384851; 816126626; 378442327; 45503075; 228016206; 149554491; 158992587; 655794243; 981813552; 662698712; 977567821; 261040223; 904318693; 430321192; 221610438; 466682696; 896160328; 905653624; 22203059; 983982860; 787394226; 191829527; 662409791; 190080060; 822870208; 423341044; 212489454; 898371169; 244743086; 223192387; 17991093; 438190266; 931216258; 839434883; 657080491; 214517039; 775523539; 978189241; 257241379; 53532759; 883510945; 236810755; 45076858; 134227463; 750047025; 161338165; 186260324; 699756906; 332456529; 836955508; 693801155; 381241869; 165192556; 12776219; 768142636; 242642522; 188996082; 347476786; 953201610; 484524797; 320812346; 636690132; 449742791; 983884471; 210689776; 307527447; 74133683; 127557152; 166698810; 559217522; 124424893; 479651802; 616111733; 409105638; 655861862; 687625640; 653146747; 698874564; 904344681; 641123182; 301305347; 250766918; 182722317; 39499781; 475432396; 118394986; 670933353; 370533996; 707849690; 788692383; 391198504; 180097230; 711392189; 643655493; 808088640; 13585317; 238754624; 303069482; 643702159; 941669454; 758237172; 41409385; 887670201; 8129707; 614898672; 63614664; 755061232; 337657509; 621129166; 461524193; 203441772; 341272485; 600362415; 732861765; 989959980; 872636705; 220268626; 405347546; 311886874; 246563312; 884600936; 185526839; 877720335; 772956078; 183090423; 795589681; 865962481; 170647263; 454738801; 798989553; 887028107; 697525115; 804357730; 592720519; 136949865; 129982425; 507828228; 1297216; 619027139; 146965991; 959336385; 542990624; 852527870; 469993187; 993487976; 437625545; 859045014; 781792831; 971093766; 223241000; 78596226; 343498080; 885154924; 685846626; 602034056; 329099595; 964422698; 224728250; 410443364; 289706063; 359939421; 239597446; 26729057; 353792892; 438641288; 78337642; 797831900; 927414859; 190640457; 697113229; 967850109; 208895249; 994643003; 161497627; 509410060; 242252424; 901324021; 632704974; 470042217; 660016901; 987129384; 408862682; 984027052; 56965958; 688129549; 489669566; 285532497; 621522252; 181736676; 310613023; 166037227; 674032520; 329412385; 883503915; 972596839; 843018565; 449255215; 713915945; 945772195; 460078018; 169471234; 391567834; 228606240; 156142118; 229224908; 375101730; 278726818; 602442879; 529286284; 777324485; 734366902; 484486300; 973295209; 767482156; 619971794; 308935146; 416276398; 34144513; 751071749; 268608950; 864856911; 829889140; 258697061; 942546915; 209690592; 43626553; 955550833; 267466057; 874240666; 98102614; 330083312; 417981837; 381641556; 312734828; 253318650; 610318292; 432521338; 222138046; 738894232; 292224810; 394657839; 535612442; 425732983; 738153195; 617181610; 841465301; 861453400; 441280097; 632633288; 224730120; 24007918; 867730228; 329941200; 618429553; 593345751; 538464982; 175468013; 412122851; 665257960; 63745601; 474371634; 235179452; 50883112; 884657204; 31349811; 682110243; 359612849; 46016039; 664246046; 792978923; 734418939; 330319038; 98083339; 490257748; 32660832; 816675469; 805977380; 121703767; 644256305; 818684943; 36878100; 652944991; 997784578; 395979868; 468021195; 502022376; 979825513; 209322054; 794818890; 683064929; 830593927; 223724496; 513043808; 300343163; 397432583; 441068104; 8684197; 907090308; 12080615; 596281981; 547872157; 520791114; 492952726; 528379040; 620331641; 914028092; 889170033; 948870172; 332131555; 777724090; 38375371; 33216854; 771762233; 736321489; 389555137; 262411708; 847622342; 520412622; 8416064; 563337376; 382982057; 37771547; 490582602; 254338909; 636591633; 318669368; 560757503; 366077053; 21804197; 670022231; 844946034; 846183793; 236857304; 987045422; 406294830; 747913598; 922090014; 651561737; 757028211; 106770556; 424280244; 802253198; 448972592; 377995719; 828929417; 187674371; 973915261; 142048943; 942439303; 795300611; 13106512; 366923747; 16213284; 465928878; 628599964; 693249313; 520057223; 783315533; 547275049; 250216341; 325720216; 4661181; 66072140; 534929085; 709223077; 147945553; 95767723; 418429198; 299580696; 348179271; 415077091; 220235705; 243306392; 256444708; 306780574; 931887481; 414765026; 399485389; 319911036; 241537989; 359549167; 403511810; 215575485; 933543673; 264108189; 451033062; 720271351; 618272531; 740048011; 782591297; 104848746; 494673301; 682031218; 647816889; 477582337; 543664352; 959746321; 149165741; 691104653; 850753575; 936078986; 820761350; 318530856; 295930250; 196693812; 509773235; 35229825; 578492018; 983789079; 79034151; 719928147; 986718122; 95114209; 997216010; 376115654; 439844770; 705783596; 276669753; 580382552; 263414678; 118771689; 615523865; 141409699; 382611395; 955547095; 388551877; 693127514; 620204267; 739970174; 327087136; 519264664; 700148917; 677165594; 394692344; 241722269; 513074597; 983037358; 37097385; 352514861; 759540396; 794496762; 886778205; 814006141; 358843104; 1738787; 50110608; 617963322; 527472002; 821327695; 944814784; 52323909; 336175034; 860714368; 891099840; 27832029; 811480796; 35926226; 18907073; 129395552; 420878383; 937631977; 371990310; 10377648; 318638594; 959864480; 503119743; 821717342; 772921635; 372163021; 277041834; 22822333; 441591535; 878640339; 590861896; 663631191; 751872740; 237784893; 140115458; 208617699; 202264090; 355223675; 663850511; 482856396; 75157493; 337021868; 653652282; 446246632; 758061472; 1396894; 908509532; 959977471; 771380994; 105716258; 885095861; 878513929; 443626711; 531813337; 478660090; 886385283; 193468745; 625513704; 776046710; 647726649; 797136983; 664501404; 527822357; 718299999; 370602316; 190875161; 393854664; 152976170; 612732544; 284346147; 961431200; 758229293; 577116988; 863659902; 167199896; 42759500; 300286355; 708082604; 805071668; 559902144; 655487483; 107189914; 496881845; 11181170; 789910964; 459926857; 364460032; 834312252; 818181481; 809912154; 820980270; 130540342; 294736623; 255810137; 917200433; 600299393; 639373563; 180590444; 743978679; 454530819; 796013151; 366632222; 710626188; 621158264; 413763796; 251713013; 615627531; 37204100; 994972589; 850440448; 94197712; 941518615; 866514857; 390773380; 416669172; 281280817; 869075152; 178140304; 809064971; 13559380; 132758677; 84146393; 756773628; 564455727; 383416607; 82349518; 244658090; 722401923; 88100720; 121091500; 241758431; 648455974; 11696492; 267470993; 538729712; 493853020; 274408598; 696966688; 493459778; 808195637; 225538942; 942015422; 362429390; 598407105; 733628757; 104017402; 921002166; 334543959; 384775083; 499811151; 783423012; 387187956; 969440332; 993607801; 708768854; 488511485; 87399400; 472706349; 340963897; 803593702; 86789879; 21951242; 879279283; 711848219; 573632171; 760241672; 945271241; 476087930; 351107519; 547459508; 725837858; 403014207; 337794687; 179619366; 551179103; 450430038; 254139928; 759089942; 247062252; 368662112; 294300631; 664023269; 98290852; 949298713; 966356642; 78637562; 388519799; 226326651; 43513139; 179217101; 137242286; 359455725; 864428453; 300312711; 84249141; 330823060; 416476126; 532014793; 902418473; 533746810; 80254927; 477276952; 652646015; 252770320; 519466815; 363001835; 111023993; 111912337; 460729892; 173186665; 182133752; 868903867; 424252683; 526255478; 258911605; 340974214; 739864831; 404195383; 660755039; 786497928; 813096237; 817263268; 423994895; 407555294; 841307267; 381694361; 621633639; 634272723; 4656833; 756165838; 665238163; 565983613; 243806279; 650063084; 317867428; 538176822; 7060021; 285829435; 155868153; 711156217; 707537726; 371540346; 75576866; 48652299; 660494545; 940884576; 185911222; 71504773; 745619449; 28252421; 9731328; 625137352; 852526637; 272817457; 61361065; 431060959; 886397484; 37675059; 510213010; 495999201; 981745649; 84242920; 220215147; 907820279; 658040358; 277975218; 144019474; 486298564; 305514074; 522723166; 195186630; 676045249; 962465090; 733298879; 628253302; 499306608; 196602723; 117262567; 336467666; 344378112; 669094293; 343783125; 588977548; 206667727; 209623420; 494782568; 917686632; 997652132; 511452841; 961251972; 318659890; 535664368; 689356034; 733290070; 928322311; 761127690; 239287050; 946614212; 447656435; 637591974; 759526532; 923679796; 942706928; 492584497; 211037778; 626322929; 372222268; 715622012; 770367779; 485727711; 390213504; 944891236; 481503588; 568212508; 315838978; 784029237; 311893136; 903027235; 376497833; 943928735; 120684279; 334840251; 855998878; 19308741; 977962296; 519262519; 418634343; 382399721; 331123565; 72024208; 734818103; 653069588; 883902241; 130732422; 487040269; 637715360; 511870710; 164631289; 279352933; 83844931; 764929914; 116995494; 865459684; 558902680; 812631473; 166523788; 316016920; 445456460; 387194332; 145466424; 776797343; 95226589; 748257430; 890850169; 644204577; 566745454; 383268023; 162381935; 751983326; 790349002; 634465955; 687059591; 180685111; 270822204; 420862078; 818348277; 54974327; 827940598; 692786976; 604303892; 139587990; 704560727; 286178546; 714998825; 226062316; 624047810; 634281830; 667471417; 625790123; 87903816; 494010837; 742279292; 544230859; 594181801; 806137729; 331785930; 996469677; 605689189; 695958506; 139838746; 205924064; 409330857; 615124121; 237597386; 955813527; 909748741; 966517668; 348291836; 893903113; 158649333; 796098757; 687957045; 510907219; 438495875; 126531612; 69349572; 42310312; 50620081; 304175110; 325432571; 32025068; 112392018; 72923083; 384469030; 679262910; 276054185; 175176050; 495843830; 291775816; 625752256; 628108428; 971495642; 780604961; 904706349; 13719832; 179158871; 607808380; 169099512; 455606875; 815528872; 399005454; 992980027; 96048752; 769282309; 21666650; 524664896; 246438423; 967954296; 443966367; 1999294; 91580088; 357832704; 235863773; 349568016; 902719162; 311593459; 616705820; 685177049; 875218149; 577179998; 601900731; 451625410; 217823248; 877760739; 416077252; 866596190; 784066678; 457536769; 4269541; 139711789; 330380433; 26622584; 508552066; 55797452; 812125022; 288607425; 100250618; 459231268; 448672134; 856370468; 697179326; 861369964; 644427341; 671512085; 50052013; 618828715; 194770389; 918661402; 549810850; 269661275; 864514822; 319725214; 464940142; 840289639; 927625787; 315371796; 234319332; 499969150; 519720296; 29118084; 722122668; 242957267; 495275791; 711660842; 300197321; 433098424; 277598303; 469902535; 567613293; 634622987; 923900810; 588829655; 311379572; 343808136; 692471382; 776143757; 87530745; 412585676; 164002588; 794404169; 146735653; 679297084; 123702729; 573993111; 653801409; 673411285; 132180091; 775029960; 245790889; 530850712; 727129343; 435730392; 692905767; 831162309; 862594990; 839874394; 756322279; 791045590; 242322580; 417714658; 347624944; 465124778; 437997246; 939077815; 256498549; 308593589; 603376444; 752670900; 436924069; 18666190; 97205440; 397293671; 51097342; 559807350; 777792006; 674592048; 577341554; 421493414; 535327720; 983563044; 409122330; 500567856; 978408808; 942814197; 424679342; 8593935; 230400378; 402986296; 428644987; 105542296; 431129441; 287231776; 89772855; 235762476; 432987896; 217024959; 969518535; 475363277; 313814388; 839326592; 193670839; 92652826; 443641051; 386465401; 680220836; 292276093; 237174783; 856960710; 888959614; 395004940; 605015946; 551803663; 275257026; 1827731; 869840541; 183548212; 638692226; 136915996; 413571894; 510664489; 215150850; 555890943; 799245461; 369455378; 412838154; 947545981; 444612290; 33330428; 933573939; 875777800; 578511376; 602914835; 924876221; 156225553; 616176014; 398034520; 629858260; 996265436; 694591437; 208349524; 544048425; 359973373; 990314841; 548444790; 570798024; 594781307; 393784992; 80862154; 348122437; 81752521; 927145338; 889252219; 725189158; 570937427; 291452974; 264563340; 984044253; 147047245; 490033768; 940523933; 395577397; 537845692; 861512113; 342357466; 372810598; 678874394; 518863615; 813197076; 346997044; 650224988; 523504953; 83989065; 687600767; 923016660; 556406583; 895746062; 31388502; 98911528; 56761227; 508747789; 342505302; 595812416; 821159364; 32426144; 551008317; 2601432; 328090592; 967245866; 600109596; 821450879; 9463934; 296011052; 605979156; 951048136; 680325869; 149051985; 272501962; 558953154; 624546146; 488586788; 923075441; 434217473; 525758976; 135700150; 134153249; 589246060; 193811489; 345835687; 116658648; 864216186; 798668852; 186799154; 347534; 597858948; 756679923; 233240908; 399188094; 633932548; 203882119; 36641250; 739541205; 506716614; 828051115; 255383511; 731799298; 834568292; 491150645; 457818272; 890667284; 893838449; 263955559; 493879868; 31337211; 411525262; 580296946; 250611106; 374910284; 100024283; 474677951; 225514255; 869864303; 670280856; 935441918; 643457016; 377299633; 714115628; 663020586; 777578162; 282872826; 480849778; 166958911; 507652276; 230247485; 885312793; 249693746; 349327944; 564201315; 789019017; 216283124; 443773725; 970770262; 888559019; 368244946; 945076738; 343133211; 968256259; 889832400; 162256862; 10942625; 27562289; 704150478; 16993835; 580813670; 575410295; 711429401; 358367022; 428059044; 508540506; 40510789; 231625508; 367024274; 594443118; 597205845; 475960950; 566097509; 87720678; 267307002; 830859471; 806120356; 751635738; 910482178; 84977401; 262774469; 517074748; 296555029; 860652810; 117444811; 285489371; 656799282; 169771699; 840205279; 192048904; 398889805; 801663298; 131327513; 174483756; 685605395; 660814811; 538884071; 26601008; 2177810; 732061992; 726739604; 594341327; 528923051; 377090859; 548970639; 554860025; 983186198; 598626348; 683287187; 525495031; 886573199; 851107935; 901335562; 257166979; 610506320; 853864378; 575326132; 814541587; 435331328; 760617241; 916907961; 628608010; 9687791; 879447764; 545908414; 40594796; 231292526; 110314736; 733070198; 215418460; 350626683; 37392132; 394696562; 267604931; 831261185; 162845862; 52289145; 298389690; 129490735; 745817816; 686384241; 283045460; 741462739; 658743565; 469970740; 3733623; 51131832; 862575936; 272872995; 104586139; 253041389; 376741310; 623148201; 392806448; 957312265; 525920174; 619771690; 92517843; 71998890; 532525138; 799836601; 894761205; 777944174; 998119805; 908067505; 960907103; 170467469; 433412842; 706408373; 899318553; 574232494; 397668619; 724395938; 373900148; 654359332; 29190375; 430689943; 537324461; 964479876; 648687713; 692959099; 291549369; 118351976; 31468736; 511944677; 433038799; 225827357; 877420201; 604202435; 100372361; 119560538; 500305077; 110890704; 528926735; 63898737; 304887385; 200351776; 16622586; 888390380; 524418087; 61720582; 168980055; 641537383; 782928729; 446275845; 388706080; 795672351; 84196511; 352867747; 90387016; 687357743; 141535383; 535897179; 199150852; 770211770; 714930526; 813753797; 358169623; 509583301; 323800088; 329081171; 627663778; 542629583; 893572152; 808897029; 21676936; 321444111; 890040771; 419031499; 57174432; 958086138; 62970998; 132639614; 884649741; 475442008; 322484730; 538916343; 972659109; 318991613; 813558426; 784412990; 539734417; 353766044; 424146614; 922987671; 987832222; 318773916; 817435968; 883342491; 93313430; 693726703; 193940505; 763490119; 122716231; 537459198; 992797103; 402758600; 959698805; 28418269; 756829588; 716934077; 670044153; 673016943; 224754607; 355654555; 499097807; 185270360; 252683420; 318046600; 839557368; 121355806; 959136107; 302058514; 369294302; 30124490; 739053370; 875762155; 545584084; 481945030; 408573010; 258169717; 713174126; 525403420; 867728455; 810101285; 354039966; 710174797; 123925783; 810675694; 653673843; 218459093; 553352566; 801447018; 676904661; 767484399; 168613594; 720748306; 986259969; 825187006; 807808193; 430305832; 977061181; 148655633; 720982973; 622445999; 786052482; 982197373; 341724441; 533375774; 958630913; 978810689; 724908783; 988443599; 837509084; 32219604; 385431374; 226358341; 613740258; 379769458; 323042276; 618754013; 692011117; 281179859; 990739015; 986516624; 320044899; 300192694; 168176107; 960975833; 446091819; 927535613; 434451288; 71538578; 65848552; 601136830; 283724599; 689202374; 558353034; 968919317; 160357291; 28771210; 896752953; 115432121; 945712699; 253295630; 714189343; 507578414; 729906778; 998674608; 376486880; 951255478; 173019428; 75626088; 291330388; 361215161; 649997081; 27545766; 944048088; 790642193; 820770770; 210794370; 569317222; 90303921; 348507024; 536809692; 819514333; 785653548; 401859531; 396594993; 496173659; 608928623; 360190803; 691586465; 964987427; 504737390; 940541748; 165090036; 860558064; 711731631; 85488753; 792807829; 350476045; 548948506; 389287872; 520203243; 939426549; 346554620; 846130404; 977352801; 498043624; 970801881; 842514970; 946335129; 992910584; 272740605; 81806327; 570216787; 323149721; 369041490; 976835016; 715962143; 473490759; 468502922; 194654360; 943208710; 985654813; 598758468; 663693760; 718579099; 726068100; 979237301; 820548764; 905598620; 523878984; 709621459; 581098296; 929715571; 277182700; 496801991; 171039728; 844699439; 425838233; 513537340; 689629615; 129970430; 843702445; 318946513; 391733750; 828383550; 690096739; 436054728; 187810346; 178389; 457167612; 936996915; 551639640; 5846035; 860397392; 36949753; 167955141; 551124183; 684789382; 80832814; 120767799; 748447041; 464463337; 393517151; 298334742; 788983270; 963923651; 721196022; 623739990; 62979180; 799492302; 280149323; 680898054; 768729512; 397914353; 339349649; 89254434; 650633299; 854264318; 9386729; 96230876; 287843541; 291448783; 913316075; 756143629; 710664248; 792317781; 100300069; 338517818; 470504383; 237931559; 641167002; 902235020; 472967571; 641973029; 587136478; 53257935; 338798995; 262509285; 506237480; 11454084; 72074919; 356729920; 279046712; 893517716; 958553895; 151910978; 750219293; 791261489; 510523452; 218494203; 756814018; 708683240; 683156593; 459261790; 723803377; 430184209; 98738853; 809689732; 390904412; 558154883; 16810141; 177351201; 949976257; 818495985; 977104639; 531161826; 160719882; 242824412; 567086834; 757732385; 194690372; 30981804; 647225383; 330903628; 95314536; 580577116; 703930795; 70776127; 108617582; 192861382; 57480222; 330300381; 273096522; 286798446; 784563241; 633866021; 840448211; 833971239; 532077371; 34282928; 584825606; 771596988; 830419943; 276806154; 446201731; 134645697; 806647140; 585766932; 396198879; 450973815; 678896424; 88556859; 216768618; 9030966; 377765831; 831818853; 661402550; 113376235; 170865500; 73946406; 145993264; 944491310; 416486181; 965862657; 853358054; 720107105; 807684122; 840862688; 831552701; 150353338; 289572399; 771604333; 957531002; 642601263; 252441534; 813379727; 333001789; 799609735; 969102360; 800722971; 359019986; 180253457; 282770854; 517559247; 264434155; 584346127; 384760024; 810486019; 406057963; 232220164; 386526091; 180474093; 879270738; 320801874; 807668896; 30065608; 49148940; 409055888; 290825524; 938569767; 381374941; 64268734; 449300468; 217572059; 32764480; 907147030; 763806728; 963508555; 894192635; 667901383; 187319332; 63315270; 904640673; 186186258; 848168570; 29693325; 31568166; 707739554; 921380400; 112667663; 772820711; 531802648; 380028295; 712814889; 695616945; 73414720; 862083694; 868284747; 48472463; 880710654; 636815059; 603158531; 811261678; 362270723; 968370954; 295673964; 213895956; 13672225; 658452344; 185198747; 10939697; 111607572; 132902160; 871087419; 719248039; 991270288; 529020287; 982852062; 601183052; 457632554; 26144114; 382718073; 484903874; 277164567; 345415366; 380482255; 915795511; 213351207; 412248132; 833045706; 16656250; 494855585; 432512645; 752402418; 903313188; 116668958; 390116708; 83003780; 371643102; 733245495; 56786792; 598505650; 908252362; 310815448; 911391064; 841337174; 720629046; 37362186; 246512286; 864383596; 239955567; 572125433; 727011545; 889972784; 421156585; 696763820; 43513614; 768320761; 140014801; 733060491; 352805615; 807737034; 643187100; 960747867; 644711498; 524858653; 434349476; 333210577; 524832081; 233525669; 141608495; 507902054; 211307056; 515152835; 999382385; 700390881; 50879954; 914547479; 511545823; 93717192; 129810177; 177381126; 380447798; 917694128; 680252483; 139431398; 662298739; 729808606; 791968970; 454254072; 228129159; 644615650; 688003839; 150984680; 186804538; 647073938; 449563575; 225885461; 650510806; 655412978; 318912192; 909617993; 810597461; 214510079; 942205639; 380893663; 151642678; 413963359; 289888282; 183683368; 898490576; 14593444; 907568468; 612935153; 349395179; 339255690; 723062246; 17665630; 536038589; 600580428; 706759499; 237710657; 48602062; 163876870; 644710735; 902102474; 969216310; 903703587; 516011592; 283442362; 933525067; 795143459; 322806744; 417135748; 142625094; 489995324; 627570474; 914650037; 435368511; 590825506; 915782858; 425811107; 282249650; 654080931; 989744328; 41439886; 285791079; 681389548; 371412355; 680044976; 973418393; 339204829; 281126655; 8066977; 636037358; 374311292; 420045245; 957823748; 793672699; 131648991; 110286370; 684884228; 640459948; 671037555; 942729905; 749917081; 332731366; 341433391; 856332981; 717566720; 176598030; 561387074; 260205614; 791676625; 977875312; 158099195; 932483633; 661052097; 75616315; 402023943; 622630966; 966082147; 114831530; 368446918; 983384961; 107529112; 151623176; 347735278; 976306294; 833784128; 504302504; 471896788; 281074202; 753754833; 50880773; 191187901; 794222434; 763015896; 740953357; 213807339; 587504997; 336224476; 356624371; 463172081; 556685452; 806986642; 684621910; 685767379; 133203477; 896386396; 172277519; 953764759; 279711630; 988591852; 383800093; 393618362; 744776328; 988710201; 777809274; 474282693; 292371774; 655803016; 427515150; 200068539; 536056906; 267899770; 978897615; 932745638; 23535974; 911728439; 135110054; 101854150; 827400101; 981329957; 168047412; 66992994; 41428311; 139203394; 572000707; 850594011; 912677251; 149158682; 676597898; 570999380; 258310731; 948951857; 352973301; 656499135; 462524481; 52008397; 309840264; 74060455; 816766249; 502445540; 978612904; 367869586; 141763556; 284235098; 125108287; 699361872; 314445990; 35091782; 7613634; 206137822; 231354981; 607690276; 742127027; 96641129; 524899947; 728702811; 924839953; 287425686; 969702835; 833961310; 857977531; 729039394; 407403875; 224404625; 384004608; 335068173; 952902123; 697036412; 866022476; 8805393; 18195363; 608287548; 192835053; 230605879; 649881132; 547798210; 68844484; 803441561; 229477871; 838297731; 862547618; 211000726; 99110347; 295553795; 578484841; 616353020; 861890374; 609475303; 442937948; 315838278; 191383817; 498981832; 723098701; 877491535; 862798902; 60763151; 586990806; 808950578; 642944658; 516653324; 11009758; 970574247; 281701348; 657884340; 134031783; 444408013; 392734749; 641997054; 427255170; 342403090; 879459562; 991283817; 554869371; 897341502; 537130783; 134609461; 866640280; 773369730; 990505085; 357737369; 862035498; 754223881; 204650576; 489658717; 599839898; 221408866; 875151890; 119586588; 616839026; 631827160; 592181816; 514076151; 863427531; 735834407; 958885028; 355476397; 807909950; 442918088; 245441307; 904388717; 968919259; 738631437; 242147484; 66624870; 300313478; 300592386; 509493852; 306030235; 990071527; 866121822; 704785869; 855093344; 985288152; 978157199; 106100404; 800239170; 433698139; 269137109; 476489242; 56479193; 745257585; 402207595; 999703049; 189517239; 481595187; 976754521; 908372202; 77918038; 215199638; 852353644; 991864228; 173697627; 604517310; 207497856; 764633311; 966693628; 949241644; 172193512; 392935787; 400515113; 270590491; 365795203; 757123802; 824246620; 486691927; 624275437; 851693753; 992601663; 257262673; 165670786; 387766211; 798848030; 509541284; 658576651; 573126393; 103654910; 550343325; 34915842; 187921791; 893025971; 534635790; 754560061; 682387083; 352556639; 427293067; 644424007; 807641912; 156697438; 588593467; 815567150; 559251333; 627167377; 171121396; 352165490; 156972319; 998526231; 80894314; 375992578; 777700068; 942357362; 63553054; 136165269; 404471230; 991187489; 886481513; 374270943; 808431138; 690017518; 709953910; 974387008; 45209372; 280033642; 24935874; 134223175; 74813421; 571988679; 101795767; 273305871; 590474190; 793279387; 327037430; 974476626; 618365560; 907359888; 971828562; 910420034; 403728229; 726967423; 624190226; 648672440; 164180821; 991245222; 859615046; 478577875; 322001978; 878243800; 127676739; 699747955; 25344265; 845017156; 433842728; 31940292; 642675248; 640164987; 450630488; 372439814; 199584275; 247162042; 355370250; 219815792; 819384742; 977107706; 612862470; 705318466; 677474842; 357207313; 173312387; 385004993; 652120036; 606662918; 472485912; 173908182; 103850283; 656698187; 26458390; 662938914; 219770858; 359603318; 320600395; 812953112; 784243307; 515008440; 192035988; 97233275; 62664174; 44420034; 756045242; 697044354; 306690774; 967748873; 650763199; 456264025; 112876478; 227655047; 714644464; 759881671; 415263421; 145704879; 265226236; 179245300; 584448338; 786868978; 777930829; 816845311; 457515499; 6356144; 384970527; 973253077; 154171857; 457551835; 996499984; 175458671; 315533653; 118385025; 686068090; 128960988; 136482992; 825381546; 458933728; 826102058; 536981578; 925147859; 488657133; 243499607; 76734917; 130485461; 196137242; 714775894; 213895668; 964674963; 158936017; 651760668; 69276653; 957318116; 332015205; 541701613; 9327603; 332793181; 364278566; 335372252; 864753442; 89950097; 965790534; 252334030; 294611692; 426986254; 893070498; 63897006; 72779481; 926722646; 271465376; 203400850; 532791352; 661895773; 299501189; 830078238; 952889430; 704503949; 268244967; 360227433; 138871662; 999905128; 929147265; 206552001; 124261396; 290510500; 845792959; 465434092; 457342551; 504524517; 504294066; 476008084; 580906199; 776941451; 898509124; 22159961; 190405551; 733825520; 577399405; 742221288; 117047792; 718683141; 573393974; 675179954; 79664439; 840260737; 942702021; 425507550; 841051000; 415229381; 150817953; 472718408; 888785269; 10383905; 423295280; 140062946; 581067096; 205219547; 606820767; 290832609; 617473042; 930312931; 442153357; 58118983; 864749857; 750937094; 593200634; 674134571; 24734862; 775716824; 694650418; 912421190; 385371526; 76923387; 557849777; 434252555; 952274832; 788908359; 256582123; 778725243; 210844397; 575411076; 231016532; 199849448; 720848558; 820005705; 364450693; 764517533; 488235882; 851820855; 405109715; 277787487; 147721503; 544914971; 491203230; 697897250; 300017663; 887121662; 481500212; 510548480; 717469553; 454316318; 588911962; 66939277; 136435194; 738475200; 555834576; 749586347; 793925912; 542377600; 725613364; 526150137; 349921090; 246121008; 643817236; 641776021; 257340798; 762785349; 566790695; 975218974; 720065834; 598331602; 693677126; 694834118; 299335997; 691213745; 924308981; 900605984; 12563288; 252864822; 4795025; 231855517; 889088813; 424434076; 789865225; 978603876; 508586783; 956008287; 884635739; 304095507; 876470102; 531941854; 794186711; 318598930; 570260988; 864901937; 554170521; 679492880; 169197213; 21223631; 201379034; 318937622; 506421751; 459096078; 918287107; 605853777; 544257612; 528718262; 65434841; 424853080; 172215585; 885210109; 873592285; 480079760; 194222640; 650547659; 316799650; 651658766; 401576480; 929713423; 939239356; 163799335; 790508583; 566140178; 135379711; 647461003; 350424979; 869884378; 253584236; 914798243; 900530967; 121879908; 618024158; 991863649; 824715879; 960610001; 876098450; 792873602; 889285822; 48244229; 137905533; 194972363; 995232400; 323360100; 996634770; 45415861; 627475156; 91288366; 54383516; 815228673; 311980673; 278849543; 119293782; 773216332; 958329382; 774487099; 840319937; 724356825; 134651421; 625234433; 224762057; 540109041; 986456775; 574097070; 173044372; 688892911; 836638986; 503939283; 952139913; 255150014; 939508698; 925225447; 759836046; 588219392; 106506049; 750958346; 387565560; 9587423; 441472422; 733050538; 807872632; 627372907; 82433711; 907617479; 977821548; 932524446; 159033448; 657795795; 364218784; 7452197; 70261052; 327227019; 240163647; 668916487; 852436194; 720068343; 768858665; 125664218; 47724672; 881402304; 630863796; 943503514; 152730682; 295990036; 178217136; 119757621; 883619189; 333452395; 231550579; 958670728; 501360412; 553602047; 59849587; 788225878; 156470367; 278984666; 596422504; 198156000; 279119079; 220565538; 295208193; 468785881; 989376477; 536639733; 587797769; 829565916; 665856423; 773388263; 491809459; 544083359; 484503272; 266674446; 732747022; 422726996; 618586808; 970425575; 285012304; 953764511; 654032233; 422692043; 201394076; 993889648; 72562110; 266771542; 899158118; 67325674; 299562366; 996900181; 579119656; 315597886; 475433331; 605894978; 894869178; 69289373; 166949962; 945229278; 995502918; 77620385; 894026647; 1140180; 525201908; 958152543; 161920162; 47941701; 509530537; 753241634; 626565470; 291570224; 574845715; 806539822; 485798031; 579542283; 335929098; 850443702; 735854197; 78793918; 695662296; 389008580; 975166401; 126557359; 667755725; 878920818; 822176557; 335149510; 416913212; 176954486; 375365867; 204128446; 126747226; 971090374; 262374833; 865038902; 59397185; 473311355; 737270652; 515155925; 220296370; 328790490; 769213223; 238791836; 411720090; 767798299; 874534737; 690052515; 448852897; 111558252; 781517461; 70824242; 555218849; 163969758; 99859162; 655255794; 31459848; 536365815; 152422368; 219917265; 219398479; 708500052; 614025521; 618087731; 227030371; 452906413; 520530598; 395405120; 714570567; 858782670; 875100007; 28594681; 590585990; 475241588; 908162505; 658670905; 510204037; 15678560; 635022879; 97567117; 17738315; 834950235; 483952928; 586823646; 519653674; 517061577; 523352893; 273681271; 339488461; 888942365; 469431070; 336520990; 741973577; 948491313; 970652124; 942084193; 472579232; 652790494; 980443870; 617366837; 805740706; 937374493; 898262045; 233282822; 376516786; 471701632; 410119332; 395637425; 707192300; 817780668; 656633447; 441131980; 339502835; 648889412; 386676241; 716784576; 786540950; 53439464; 327579616; 338191277; 47387614; 80976197; 646242108; 770339012; 228083015; 776093508; 294378752; 94327186; 520159269; 411352320; 225853987; 39170003; 733991755; 893040309; 900239556; 141003937; 793943664; 163523360; 245103034; 905117537; 463876886; 723999852; 40676761; 698178233; 281179793; 755114713; 966137881; 373683905; 554974332; 274488152; 586423515; 388354970; 800811027; 483487994; 102339506; 255677212; 46485530; 340503432; 168766321; 582942662; 182151811; 869269818; 720274937; 413865913; 311705852; 752795096; 225305931; 767645282; 879602793; 981873702; 633151794; 464322695; 871889403; 120797509; 557019306; 162538943; 207060485; 974281350; 743450375; 385852862; 633260250; 842261591; 654814907; 285292685; 171800370; 381194895; 120084661; 703627110; 285926371; 530514730; 387206379; 281390570; 170575199; 702516668; 105812482; 372846547; 147680562; 165432477; 831367530; 609290036; 590157782; 950277372; 679603309; 825204961; 764693296; 521457044; 465198166; 930688062; 727187334; 816509530; 962740325; 369826584; 726925763; 54543311; 582121043; 478019400; 847878185; 46662299; 625175652; 827281549; 402830592; 358643268; 865964286; 207668915; 321564478; 324744944; 19381972; 558414746; 627060711; 437238959; 678437431; 56348268; 38062589; 904233036; 281142684; 646109706; 45345272; 755864105; 588778789; 584977738; 96845958; 589569433; 961718777; 559665184; 604232887; 314356042; 901150853; 884959133; 688095791; 177059026; 962960672; 951981738; 700917485; 684640743; 609881311; 5866040; 781196069; 910091238; 899725556; 257502273; 71856604; 342505075; 434233161; 61449295; 174790840; 983857156; 207529877; 992580306; 220711322; 953511584; 153975731; 357274757; 303407239; 959124204; 342962270; 751326366; 284906235; 550981694; 532126053; 901880569; 202409853; 50387041; 848526135; 180659014; 462936616; 86448329; 805286929; 432595240; 139953269; 23987456; 909282381; 456968555; 233149603; 986920265; 292806821; 647361597; 109010573; 84196307; 910076493; 17221826; 831033961; 414498780; 855614469; 11557460; 302953619; 107401987; 405788525; 280037162; 229178834; 511277053; 551245746; 735121756; 694239103; 249053923; 32280602; 990061944; 393057915; 283963231; 267536251; 258608188; 524677539; 259261730; 92340883; 129522353; 88755555; 582613026; 970336595; 324612297; 394378180; 833996358; 54665420; 303450036; 563432515; 19159866; 591211177; 656266471; 355567531; 899964335; 784438194; 673083717; 226604012; 644142670; 5270117; 525642091; 353630421; 848680619; 186066950; 480479881; 828234435; 575284408; 293370703; 819899444; 413907536; 794344062; 690346577; 369752653; 309089482; 238225664; 121323316; 37624528; 668680676; 281302436; 326104531; 742841720; 809293233; 27566545; 249666650; 162610151; 840712406; 51799936; 144759137; 145108939; 669690204; 125484174; 301911372; 553178437; 656615604; 573475792; 526212945; 237275970; 578901040; 538148928; 764298410; 650824234; 831295213; 620968307; 523430535; 775717986; 407502645; 750025151; 778150837; 259332986; 803423323; 213922652; 213015998; 952925204; 4778185; 235425962; 256710139; 32460460; 866359548; 449296215; 784104078; 332752071; 914814044; 938443974; 203370191; 814355324; 509378241; 956347280; 989202281; 278305900; 973989630; 673544508; 132012989; 791974625; 513091592; 279736921; 802818415; 169939530; 339601069; 507495300; 790805401; 591061974; 626919325; 679783371; 988962336; 216620794; 236265932; 597252954; 395594014; 280033836; 474416390; 634788514; 920389927; 192938974; 602847991; 413722901; 448780884; 953686715; 804494288; 186950156; 55701861; 636115082; 354166339; 282489905; 9207792; 197788341; 673229655; 125653912; 319024504; 188342261; 955311124; 504593987; 414089836; 738973205; 72620727; 607796283; 796900170; 501430097; 900424001; 851798908; 418974087; 444721669; 377662481; 432838887; 559205089; 534727171; 48070046; 899379919; 975018995; 744934772; 440756132; 750985430; 70177720; 267853929; 653712622; 921599967; 331818032; 679086634; 150445478; 901946301; 127545865; 668512036; 931741287; 241556819; 719689734; 364137602; 53606727; 315052832; 171486700; 375063986; 552924690; 403986359; 883047858; 30037072; 370467725; 975795756; 206289139; 990741558; 861185956; 498671028; 300933860; 807196563; 803811048; 884279796; 749985533; 964881722; 681974228; 745169164; 188666053; 397029756; 535516306; 138655193; 957460599; 915928806; 979468529; 390397629; 974443578; 217103168; 143922150; 846394650; 220627051; 240315661; 92403626; 935873286; 361298821; 539625736; 188770673; 891498722; 420786726; 512604613; 590487653; 665906781; 169234336; 911893821; 565456366; 842348452; 293840968; 177424116; 76922978; 598571940; 689267581; 401836141; 724215277; 169813697; 511564131; 663223201; 331561911; 690069199; 331965540; 959900942; 129198797; 873391339; 957740423; 695410670; 678441949; 334636047; 271354556; 680883260; 702022173; 829873591; 116180875; 347377518; 785257163; 310360502; 748146261; 693218536; 349353757; 103553344; 15386643; 215329538; 25742085; 782424322; 793001903; 886309013; 78453845; 654748408; 485540354; 300583553; 643477137; 814843047; 488312339; 422596818; 533769993; 624079426; 376270178; 885586631; 910745121; 406326706; 651034229; 945986871; 390064788; 321973268; 183082176; 486723422; 992500146; 513275376; 381504298; 941935378; 622767573; 566753028; 114469196; 695072566; 177556310; 749843415; 894344649; 612507419; 43682101; 16207285; 68372558; 720787435; 333412195; 812878450; 648599748; 505626768; 850104833; 789088845; 227783436; 245286120; 259318404; 457598721; 72462829; 502449778; 962991473; 269045645; 323655169; 848912997; 583748577; 969863176; 33593903; 600518228; 970489235; 635147900; 791807389; 183050226; 936774078; 121805868; 250150651; 90303292; 149502165; 197762836; 636700465; 780415384; 215781252; 518946395; 60989490; 557725781; 110762453; 813521985; 793394695; 136032405; 498702897; 561222917; 814638836; 126763465; 887092034; 657468523; 60539862; 275171972; 394782715; 203246617; 591192195; 517784145; 485329479; 960594924; 67824617; 985005383; 645377949; 265006138; 965354193; 493997765; 225549308; 424775398; 873422677; 100835877; 523361186; 634604850; 679520485; 343423085; 610824136; 667600080; 711010205; 677778021; 465092210; 577025022; 367102946; 544897681; 249145118; 483116080; 930727221; 121954705; 320182857; 106706148; 231033; 424160064; 478510533; 171317026; 320023488; 562993326; 537271712; 180066821; 219321751; 937130203; 98536165; 524648869; 764828169; 160172181; 32557975; 941423760; 428433102; 709936115; 483515314; 504702594; 841976325; 193967310; 23549085; 8961430; 181825729; 604676784; 416747268; 865733406; 452134522; 854334811; 256469379; 168972269; 888333947; 573935886; 825508019; 308822870; 307969133; 883590616; 717092192; 146609754; 313399444; 296960034; 24908682; 579015318; 823745985; 319639932; 336437521; 976261568; 588170038; 325088270; 303886179; 284628535; 506179186; 936850059; 829888271; 712020424; 929266749; 444552150; 733340315; 919067338; 546155584; 89169203; 217145688; 251909564; 249068836; 198166527; 92825061; 550770686; 121525901; 980682541; 554282612; 320540684; 884866828; 639489386; 937583969; 215136796; 29878957; 23722858; 866591837; 969035846; 911591563; 574422297; 3424448; 698748719; 939135691; 257455081; 382762986; 531509906; 253866805; 107510532; 435157112; 814573395; 730396555; 11367446; 288942927; 730005602; 590175915; 159950765; 482870548; 81237797; 43009777; 889331697; 66071791; 177439150; 369625244; 825303469; 317217692; 87361907; 275282806; 911375369; 181630695; 760677413; 143260425; 349107194; 461224181; 230162936; 343052527; 324486171; 344254484; 876831446; 406207612; 428205027; 232961625; 959374905; 951668576; 99168876; 385564193; 407321048; 513667200; 571263011; 155320525; 620274999; 672963704; 241177613; 840198719; 352430211; 741407388; 540399546; 549524813; 241608476; 609089510; 174041641; 22863352; 444665667; 269539533; 558653886; 641643568; 77483527; 786462278; 711697495; 676134350; 153560882; 215030443; 510248763; 742331728; 608695290; 556874509; 691199902; 61154259; 723627372; 964369221; 134288146; 565414397; 65185071; 853027148; 538756287; 362477559; 48799809; 137714018; 973993976; 26328690; 438449421; 331577259; 437490261; 18946228; 629779669; 782384052; 871068398; 774582973; 175763900; 547228391; 536115484; 141842148; 717751375; 174254948; 452864353; 438088888; 254558168; 909196631; 141585594; 692792087; 439956384; 317450193; 325075520; 901431402; 746887660; 249061803; 591630530; 179491900; 559256155; 250257176; 671019755; 832424875; 542730931; 297195046; 411014496; 352333860; 892517270; 459728845; 102660699; 77582024; 288041902; 601380320; 941858594; 283104766; 261574529; 744829524; 166667572; 147760694; 853988465; 131583158; 705417872; 332985959; 31651600; 228868744; 988847727; 249160160; 149749516; 144102726; 589848741; 315115545; 98882182; 419475081; 27046666; 944675895; 436442430; 331603110; 332114422; 993305516; 69896596; 967646236; 254361862; 622197377; 869499096; 93472426; 572269644; 989716289; 601598391; 977281619; 731819764; 880190352; 328537997; 768896136; 700445272; 928631462; 393585850; 29728348; 812426533; 25323752; 153063185; 891776445; 99893081; 884235874; 942110105; 228468580; 994506564; 129253231; 390953916; 18956713; 270731907; 87896119; 698763577; 536883840; 548939344; 815266445; 68367104; 447943571; 210655171; 561780610; 105806013; 464039795; 932069601; 777513439; 456513627; 829042458; 45366162; 78136330; 246532393; 465887098; 465510640; 723310345; 661234260; 120274148; 870537063; 763813112; 626785529; 952109023; 480432150; 116967287; 792320079; 719301494; 2562960; 308461832; 776856310; 33352174; 905337125; 280530001; 215534536; 425102639; 505942559; 907743463; 552188163; 673654924; 614388519; 17324689; 123425783; 596552474; 928485931; 404729194; 538704601; 696403858; 79257069; 155092539; 201693396; 581717945; 220712087; 516336652; 657741969; 620468902; 36503701; 646270002; 118949219; 630301927; 265156886; 716485342; 94510341; 162426105; 34925758; 700869516; 532221934; 289924537; 25312697; 542009508; 842707888; 409246034; 188797304; 546508972; 990265216; 531527362; 435479677; 591428663; 373630375; 366037618; 147901390; 396575650; 940847636; 347720993; 736378813; 549533335; 933870204; 634418557; 205184835; 632869096; 537709672; 686821183; 197977660; 861270636; 316866349; 219725342; 648924640; 228880347; 614947878; 780479872; 577552148; 867139034; 840425368; 888775363; 618096470; 518842869; 824075846; 555889774; 788070602; 29810384; 321309829; 962525180; 322804676; 615799287; 227944357; 5096871; 245564478; 22278174; 601731907; 643940705; 526482374; 498828666; 470779528; 989898175; 830983724; 261406310; 263130428; 238194031; 203996986; 785641862; 291558998; 857064994; 338952021; 319498750; 949619229; 536948095; 807497503; 238075631; 617561090; 741574656; 710491704; 236997805; 58180248; 225886919; 72716140; 756120188; 845102963; 330451665; 312121167; 300878438; 210005627; 710288616; 437587705; 696407718; 553144838; 184840820; 622600436; 559368969; 152790184; 223648996; 637999997; 701809930; 109109081; 648032328; 136301601; 690630137; 754894264; 95822067; 260494022; 363595969; 227177783; 683689074; 435737127; 174966694; 654311344; 621832122; 577605459; 257565699; 935377403; 14124796; 494646272; 55985068; 918180308; 392412028; 205007186; 538662109; 282510694; 971558980; 12096228; 600081332; 450100925; 169902331; 210253559; 67816274; 331325359; 513039530; 36454466; 244533546; 2101919; 722357543; 618167475; 474432105; 855090678; 487737425; 463139987; 124570382; 969499792; 458320303; 898733939; 149514219; 137209395; 204918537; 439489863; 446528036; 403153331; 878643306; 314766412; 880861432; 596514147; 195771695; 477183650; 667937075; 240759864; 252652922; 80341095; 494616756; 103901156; 998436863; 549896291; 895602023; 94994006; 745094695; 115399021; 689264916; 479973382; 966450796; 380279219; 844280274; 289884649; 293909259; 427405175; 921481605; 324484350; 605277109; 816242478; 538349514; 472056539; 74244594; 362360172; 856552378; 47347708; 767980260; 884441039; 12736037; 226673257; 659524527; 781807920; 233917950; 415472207; 609642902; 339714777; 103029629; 257708386; 359518804; 617050359; 816504226; 815883486; 820533849; 152197070; 875101907; 229351715; 942582181; 215575258; 591935841; 377896713; 975732118; 15726249; 57722077; 688250597; 434330006; 820368376; 962872070; 586161611; 213874477; 848139005; 652950877; 182491261; 442379062; 49782964; 741332333; 671167545; 191056821; 570274827; 881408158; 152443220; 651692882; 721325510; 166658817; 489621768; 910481578; 775827268; 541741185; 300159377; 694718194; 600324345; 325169269; 341642452; 963081612; 529915727; 686071250; 120684955; 814294505; 189067314; 156488849; 882801209; 18639796; 248021817; 870014183; 137571360; 787544295; 709022008; 493683204; 70426506; 607733680; 651452035; 420879340; 173019047; 967604820; 539748903; 313081807; 459827505; 437591657; 711491033; 430692346; 375674342; 816240105; 991666799; 82734144; 55838637; 555254508; 320739930; 337067692; 166344325; 89210077; 4611185; 545297314; 900648727; 711594180; 2007998; 424197145; 692767789; 683386915; 864907329; 49009270; 963129036; 89151931; 720844890; 344842305; 492171665; 67697682; 396976053; 374952972; 520940834; 35243450; 180391856; 594160937; 988791225; 972759390; 306035108; 723030436; 166351997; 447616777; 629178524; 350975420; 843358589; 164566706; 162998628; 995087174; 935274272; 636258620; 746045412; 734770299; 495160232; 738369726; 788703573; 444024769; 977058350; 501457967; 52504538; 696008365; 579759568; 975733758; 637184230; 833981422; 741546856; 367691905; 261757826; 210256446; 166072384; 720181679; 776864341; 58690804; 664574081; 393847953; 720940138; 813443698; 299935989; 73993409; 406635153; 62828285; 513242227; 92633998; 218041615; 732702428; 959863649; 182580009; 868842411; 177596073; 570261750; 221555135; 189694933; 507406603; 416872275; 451038762; 356395556; 21406758; 595651788; 648616311; 457167191; 427602022; 288767453; 584139649; 163737922; 524761180; 325425379; 571259768; 219047112; 244474962; 806476882; 70950022; 658599965; 258239512; 489901847; 742094937; 895265129; 760891463; 746769918; 351027406; 297694662; 321611068; 121742129; 890136363; 687465250; 723685941; 839362754; 854477663; 852766369; 213892507; 340525724; 742112115; 315502968; 295399225; 982768669; 895005412; 469984542; 595750218; 457298504; 541564400; 184505512; 573173889; 910298325; 532688026; 372973167; 759907120; 872637955]) + +let test5 _ = assert_equal 6 (continuousSubarrays [545474762; 953787709; 674751628; 547108892; 139086321; 913984794; 455213752; 457371038; 837804203; 321301980; 622340159; 762005224; 508473801; 816102502; 114924508; 46789407; 657987508; 379771108; 196416467; 719296810; 495054479; 643462943; 12654004; 326443663; 440676053; 994855948; 95788762; 100456096; 270977958; 713933605; 740874937; 707881191; 521361591; 856258740; 718514932; 170403000; 175385464; 277230308; 624255322; 273359290; 953643451; 417501937; 798361803; 70944199; 962379022; 801126488; 109005986; 412779329; 318426048; 349405407; 598302991; 660867031; 1287363; 498039388; 655636954; 694997519; 513650074; 537106096; 30938447; 50239758; 504254037; 187552256; 870317830; 151919568; 869264851; 469086257; 222105663; 223490643; 893523557; 882450539; 549267987; 529469954; 823331810; 705347339; 65639947; 153171028; 265941837; 960051315; 292768994; 146881323; 628344033; 765468117; 857907900; 501562920; 787517433; 704861639; 11308443; 62725156; 607283388; 129346720; 348144468; 851306922; 344199521; 964292328; 128065732; 117805474; 467572364; 259778214; 319062270; 88533611; 126196412; 506345806; 441891684; 624403986; 870190098; 966167749; 858664638; 259225645; 985568593; 240806542; 796991554; 651969579; 924176268; 939796052; 377908036; 255806797; 181631657; 583668594; 429223101; 874833713; 412446693; 587837591; 958218101; 640627901; 177088445; 292216349; 193286102; 650633109; 853390624; 923312715; 362299943; 658210714; 804686394; 515526266; 451181064; 662930694; 626753689; 783555897; 12400310; 651814387; 938473743; 921168035; 391708552; 990604624; 979125847; 390093813; 825136930; 336454227; 376681215; 295643059; 419679702; 466493923; 73261819; 810794197; 487436405; 647687668; 233793725; 421738676; 898054550; 954533970; 103780920; 258582691; 866068063; 769182044; 998691651; 216046946; 570575460; 722218063; 359388980; 671059253; 883861116; 599293317; 30980739; 148289732; 358975391; 392969658; 746363205; 135600987; 710084864; 763429926; 323673486; 482258903; 499559815; 867845406; 483136077; 607104626; 16356966; 292267078; 422213889; 760807147; 567904255; 188239674; 673159479; 948735836; 882373507; 465742361; 506189533; 780640488; 752952151; 558539784; 486650725; 925079399; 291818571; 280039695; 314645165; 827470841; 73409681; 371218556; 216918091; 255693008; 667729327; 157759; 84608120; 127134321; 619916149; 327789042; 29728282; 876431758; 885622384; 482327881; 339660627; 352158148; 589081320; 396738219; 42795378; 803488061; 611767376; 960250059; 684476138; 197317093; 950355897; 406931811; 24349873; 970957800; 768442025; 754695890; 945932300; 136657174; 741180125; 807693202; 787725639; 360386485; 206012637; 519172129; 443867048; 81643105; 299588156; 218403345; 21451125; 616192657; 846590558; 443337316; 869802114; 421812875; 185371674; 257591463; 625879557; 78544716; 480628532; 627635990; 802455816; 921237920; 487488040; 561862634; 230240853; 773074864; 390584721; 232335660; 652529420; 448011690; 8324566; 335030889; 806053899; 940893509; 619360012; 723933263; 972239726; 714735400; 402518771; 742677165; 71418875; 296399566; 502505589; 827333130; 921605726; 143917835; 854959077; 895195342; 46950801; 675823938; 793162894; 446665270; 69742208; 418936131; 335363404; 614036870; 478481976; 971486173; 535186782; 838381379; 554100015; 598992997; 696657391; 870254447; 711831205; 176323343; 417694819; 151955415; 167281484; 448398683; 486830952; 593857530; 34967712; 824252004; 711386403; 402415956; 308979473; 623988414; 297692250; 684000792; 801637230; 25551290; 47406041; 339996352; 578815397; 997125839; 346630568; 445549892; 536888157; 712676461; 893316267; 811898762; 232287079; 341088297; 772011188; 693856715; 506001495; 856328082; 847418912; 575406390; 596785758; 774764468; 889530908; 966351783; 882592495; 340930891; 553807837; 123214609; 654854481; 978491472; 773065653; 776036754; 434109022; 219322095; 716182903; 628698585; 585623443; 125470931; 896459871; 730677023; 486053605; 365888700; 828118172; 896692557; 241894416; 63500807; 721254487; 117459765; 800286276; 329169937; 139984775; 456143947; 224908111; 600061356; 619292656; 58115536; 820843928; 685023287; 906494665; 480558257; 17825086; 621866055; 279233987; 655043510; 803392170; 251772159; 759906701; 444886526; 703414433; 85614203; 449268379; 293106900; 620959312; 845176523; 389202392; 788358775; 593593095; 922865226; 225037727; 183064595; 289253763; 118446192; 657233912; 364740200; 980925159; 693694199; 889243693; 403977707; 849606682; 872903781; 665011827; 343570614; 694238753; 115686435; 386119859; 540127512; 92791100; 810369430; 73933972; 311821610; 477772414; 927807719; 897029559; 742243851; 677803148; 98629375; 660516032; 342403461; 680146081; 867895850; 684963515; 77257011; 828987793; 478516366; 806952055; 870457563; 159392578; 939188936; 736487428; 437405433; 178709496; 841991515; 974735087; 130253428; 878145233; 526259799; 900845676; 374434377; 975849426; 757178258; 966787063; 302266026; 566020965; 61328760; 485590426; 238707687; 541324004; 998654768; 5456994; 117168740; 943595809; 926590565; 483231730; 535417750; 113506112; 938549495; 660732544; 274494701; 226314107; 625050478; 408899361; 635160847; 473933508; 383932427; 269667017; 998850970; 671265289; 44704132; 631168982; 904297704; 654040943; 649082038; 704955159; 23179026; 219543654; 886638783; 490363439; 708727854; 341920967; 171857227; 566349222; 326658879; 351134898; 878098244; 163527856; 444522521; 636185358; 165360294; 883016603; 307589084; 1127876; 297094573; 2266870; 773320646; 449377654; 411159915; 991928672; 865085084; 823684697; 526299204; 189163363; 450936725; 400494331; 984643951; 904036482; 633380680; 269002587; 145582883; 990288863; 818395328; 591997773; 653587918; 283333259; 657517832; 121590451; 406976514; 86341578; 295248803; 842841358; 318955430; 866162711; 369675805; 140687209; 304949464; 451470721; 831427057; 924145515; 933203451; 896902519; 188560232; 721521820; 108724259; 884227111; 610251465; 98122207; 990137877; 136448228; 271610438; 396784217; 391952157; 365569312; 517400730; 543789050; 248576794; 686942509; 91683708; 161802583; 678197563; 792922455; 883944849; 240477286; 909619908; 899484842; 31218726; 489212141; 128414243; 434785859; 301813582; 510916403; 606770772; 560480638; 924010217; 29758439; 573495626; 306790691; 656871980; 188519384; 591351428; 434265823; 319057051; 616827891; 618236668; 795953631; 401636033; 108600394; 765687252; 192922795; 47122622; 149055472; 312022541; 919094598; 968937120; 273189234; 588170831; 674991522; 995665825; 163566593; 631901094; 676082689; 245491590; 170263264; 313268266; 398558884; 654178111; 586145685; 55545839; 62681921; 652472126; 661456537; 943362938; 648407692; 874675248; 400391181; 617985661; 600650899; 500102731; 742685142; 431436545; 515024357; 894852168; 95010406; 393126650; 718767077; 143355012; 287816003; 445061639; 687716793; 986302907; 46160337; 328768315; 363690151; 442972337; 868444648; 981732261; 873563843; 973373342; 441344806; 440848829; 541238310; 385022583; 151948139; 663589540; 59689588; 717520943; 453600351; 509327393; 344240072; 775178739; 562700376; 258352741; 319843064; 472851438; 51278135; 146737094; 220689807; 700320382; 837332102; 762385525; 399959971; 340391529; 506350075; 309244592; 922326445; 308581072; 693856672; 435122256; 549415026; 943761953; 878234910; 38686776; 341990619; 332794128; 163334525; 436719687; 57646657; 917462331; 850315480; 380669479; 537835446; 204877363; 699662373; 39358988; 410026675; 94768102; 329948058; 721550840; 825553659; 304712541; 196325200; 607009647; 945395785; 967956293; 388320607; 133243535; 640342851; 445277384; 240854060; 469239245; 221896301; 325377114; 171457041; 925879675; 607293320; 53067765; 740263642; 898186869; 169410240; 948730095; 941019494; 294476646; 178250682; 305501864; 413087864; 924901626; 458315450; 958314557; 590331576; 75593805; 97061820; 145043190; 162473687; 951836985; 962466400; 167018333; 341206137; 134960982; 838815629; 382897871; 599308775; 101595843; 493804524; 230089706; 14722163; 350127480; 403371683; 613235294; 915894561; 834618526; 475187293; 27401342; 25363743; 932209539; 493936940; 524781045; 341384337; 885707986; 931029183; 988701420; 283148480; 935006656; 137668991; 874762225; 269100666; 90798739; 260988534; 126779018; 590532967; 97365741; 140736498; 714123802; 145722215; 722460160; 490322286; 811290287; 67742715; 713677709; 39743735; 332639627; 218125803; 713378338; 824495521; 802155217; 464190961; 508591532; 782584768; 62270081; 473801997; 780246306; 492962814; 596922368; 830159474; 982171716; 485473444; 748662054; 641029558; 211481352; 142625254; 754603067; 189617175; 441925744; 147899125; 860281759; 721251483; 864773403; 872633785; 33285556; 512721503; 163153735; 923076165; 499134592; 305679331; 52448476; 304471733; 904986224; 180173469; 873491106; 54145038; 850413878; 907977403; 729927922; 811633977; 904950176; 967333052; 873826354; 201838752; 805215738; 401471602; 198851990; 100308971; 820767311; 271177128; 626224830; 878636669; 766515865; 698046510; 94262611; 91220413; 34511572; 369678587; 136416738; 135295118; 835665387; 837010861; 1778766; 188983056; 520636238; 67932808; 842490299; 537076134; 257837150; 254214487; 640539077; 163653725; 365902396; 360638622; 747990900; 366004316; 518292904; 316433552; 864242416; 553070922; 855359306; 274710491; 30862493; 371214965; 74018785; 860725025; 23212647; 773378365; 244988883; 23911823; 995715530; 619254393; 873229435; 906485693; 802772084; 109348094; 337709190; 360376560; 620412528; 748806078; 96927764; 645692670; 515921770; 829497017; 319535006; 410349879; 365477827; 825984480; 420095159; 907728075; 453525347; 599004529; 524492831; 573007531; 588571259; 845043093; 659303990; 897664755; 689141490; 553464385; 612402452; 373088932; 290561218; 547062193; 182482668; 552490321; 631921117; 410498709; 897645415; 334252520; 853354392; 481839029; 499111479; 448327286; 758790177; 942150784; 810550498; 325945856; 864779657; 911600156; 737246429; 721670995; 370483014; 306381760; 582988068; 606736194; 528288688; 684396087; 981207893; 889223032; 452556604; 545934929; 432351484; 76192129; 24442032; 559427512; 118522351; 324985000; 602642254; 479431557; 820891887; 169957371; 692922048; 418135756; 575759197; 409144974; 546524375; 212836422; 869372143; 739934065; 103096338; 71683468; 166537114; 274182811; 152109497; 595401186; 943372376; 769966230; 376541867; 755512473; 826110380; 675752392; 767459616; 896331002; 624758059; 740305558; 560126549; 658826649; 539109044; 816910325; 566750152; 471067553; 688551621; 741199527; 52483806; 953002908; 730160068; 995900903; 331283408; 968015001; 4126543; 976093594; 862752300; 398483383; 659408192; 237199285; 348457285; 772972019; 480622739; 406044796; 751533503; 863596949; 571567136; 352641320; 668049650; 826962409; 690997860; 910314042; 713494248; 600901841; 688516875; 214834897; 177692862; 531026235; 990390602; 43541428; 617020987; 570722474; 162450513; 635827725; 63288761; 415548905; 286793206; 714088196; 940059162; 893899441; 749707054; 54067503; 27553999; 265237786; 264657154; 918428214; 542011994; 973059413; 979487296; 445331640; 21967865; 890594067; 768968716; 635514547; 575301384; 855634337; 367200514; 675846346; 642148298; 484407741; 221163342; 533925647; 843020373; 625603149; 916232486; 873072403; 779163460; 454060507; 75836; 7985462; 736721012; 383345697; 742346767; 660760312; 879114550; 29098064; 960655198; 426890371; 931812190; 428746353; 461046966; 494984288; 141134427; 811563191; 78726270; 588642920; 393699714; 142913769; 518877134; 604838140; 556676182; 152929184; 602798185; 910403651; 898625854; 626487224; 266034437; 725262406; 889614366; 597343152; 570666408; 218575288; 434917749; 516664; 944606220; 308338510; 871383776; 734925803; 297242798; 23889061; 627743907; 801456652; 575033010; 368240050; 672023672; 416777299; 789532761; 715855021; 70299680; 243983876; 33760751; 793001861; 750079838; 917145769; 643627426; 135779765; 721092021; 349580710; 937386887; 885945353; 528411233; 381325889; 774124795; 555778758; 377724189; 948995789; 430383986; 977767872; 411335735; 142426216; 80314555; 960647770; 840694797; 793202061; 329255107; 140086498; 532839916; 176196362; 57914219; 508464092; 992844662; 436809653; 212757427; 65689962; 366513380; 889148347; 837903010; 239554660; 779049456; 519381998; 395974210; 966870175; 474141784; 857071524; 688749281; 823683661; 256223060; 45021479; 70949872; 894833262; 211212585; 538535431; 414150849; 715635319; 586877556; 82270020; 556856608; 413749079; 681255945; 245554097; 408996897; 798777881; 964027279; 363846487; 290313722; 545523710; 991273368; 765412282; 617077811; 861215115; 26299008; 862797793; 59596791; 301896640; 761869449; 639849999; 800538240; 866748390; 993625200; 338906345; 470425459; 548423176; 536041050; 10782658; 382980242; 929027491; 738060623; 813836313; 658393818; 311258651; 960649848; 157822478; 514337768; 303480104; 84584675; 522762408; 473132591; 862805502; 349693312; 685105050; 200084935; 183456708; 337091315; 311170111; 601955385; 306355864; 36355775; 566661078; 901658014; 239156691; 24297902; 729470068; 52099623; 861296757; 87538180; 223653700; 558360570; 800466924; 964342519; 28164274; 97396457; 142583731; 37955214; 598490362; 65710058; 796478107; 319102805; 805443945; 128652129; 829657375; 744635191; 573704173; 423364048; 337376628; 912558285; 817468003; 818742040; 527484292; 745921998; 891911812; 457218573; 829125159; 566269154; 840080035; 612959021; 203165549; 19604136; 8674653; 402126667; 42695166; 189514194; 899650021; 348613324; 544024948; 462169960; 756134466; 508658848; 416201885; 77415861; 689685712; 940375657; 387694047; 184410804; 451594042; 677737450; 700266841; 790998449; 983438722; 706328626; 250762882; 647220267; 596114504; 522573431; 368335835; 116968162; 265467938; 433197341; 410593071; 689722571; 100882194; 250517565; 267394198; 654885954; 791220086; 385387395; 512629463; 427780382; 170956603; 560612281; 772076965; 720564842; 488615934; 496487939; 938725656; 344192520; 688755731; 110702180; 922350327; 273458122; 737158042; 781943315; 303792122; 340675387; 864307143; 806616164; 521146724; 388790616; 690256761; 60107634; 286219868; 596962067; 401129328; 3889485; 847924455; 979435561; 636654269; 910632239; 75718267; 430645998; 883062573; 78731248; 458560935; 210409424; 822159050; 391028691; 479458762; 807759689; 805467099; 391472631; 999061610; 863224004; 688267509; 179558502; 308937627; 171612608; 196507573; 8226690; 35218013; 651260077; 917416729; 283822888; 729020905; 489577865; 925303596; 246169850; 447609486; 305785839; 138918250; 535618005; 395080705; 840329533; 642433981; 923222229; 97518185; 943216342; 863719630; 837664589; 177492642; 613251889; 883509110; 864465797; 844094073; 421112860; 102956809; 553334773; 33367108; 400740021; 203737987; 316599432; 236017967; 410849848; 635198107; 771254195; 251259615; 459544712; 540355720; 484074381; 120134184; 780456768; 485597522; 617441391; 620328097; 781190683; 426842509; 693597921; 595298352; 178975374; 656798243; 151445934; 811132838; 235866953; 877793433; 786950615; 22681856; 920348392; 452775298; 986977771; 56345757; 766117314; 119243437; 510109445; 148064871; 103002707; 531949818; 966192244; 617095082; 639927510; 358547925; 2883468; 323176740; 33976940; 887381028; 639641104; 444391049; 825848115; 401579326; 49924231; 774504372; 878084802; 438736343; 280764838; 477861458; 305398000; 365919126; 117014660; 90530276; 223286082; 291332275; 194474090; 894003353; 565760011; 375913198; 153404764; 341017814; 313645146; 358356814; 552393957; 479675974; 64236486; 988652945; 940311595; 573275015; 588685691; 739444804; 715734849; 92919073; 95753635; 536207137; 946370747; 839488653; 498323784; 476451053; 72413659; 933210640; 457112560; 458752884; 180856524; 983236538; 557099459; 529995835; 926253994; 742849187; 342913171; 604768245; 838018587; 803865502; 200652393; 169706181; 614344516; 674422514; 308979502; 765984833; 348054262; 126912774; 707577036; 472653114; 423888161; 456193180; 66461691; 285685093; 540995782; 214301182; 22299842; 539000136; 11718239; 13206791; 91466661; 63830789; 844963994; 589466276; 226811295; 167471765; 853430338; 108591090; 51827920; 869173817; 301480866; 935946965; 919250600; 154795190; 425361886; 171870810; 316299095; 215697575; 155462995; 664565769; 609527593; 350858889; 766351396; 708760825; 144720506; 5326842; 351968601; 795875700; 633752781; 144309113; 269426973; 514590742; 478952952; 397068883; 483210; 903556971; 384232999; 384525706; 317350321; 673491018; 102183212; 367097956; 868164933; 999030445; 736378698; 217439879; 283982012; 438397539; 575564836; 753967089; 175708960; 412930649; 884483303; 923631348; 944453572; 37184601; 942236403; 616279693; 320226682; 762709977; 245927662; 479470077; 778597054; 765306649; 904549370; 727876269; 872620103; 170886370; 888444142; 855990907; 746741327; 623543118; 616767394; 274015708; 371264586; 938363172; 602136544; 5121907; 816193356; 278008691; 120457940; 292909843; 134407516; 266855193; 582265333; 487428920; 33903388; 883944844; 996644083; 144719175; 39689161; 424289042; 553754672; 117371262; 182849470; 573768345; 15512358; 438205647; 709504272; 245854884; 758552849; 911166829; 179552501; 933420287; 170398995; 750671721; 558518772; 739363661; 174590890; 988584173; 597670431; 988919279; 380917937; 235322464; 916511528; 964987293; 912235250; 460751322; 481062140; 517178602; 433118684; 884187269; 813047920; 260108521; 771891610; 67180856; 67692516; 946607800; 748465252; 807227704; 605986010; 639569963; 823459529; 774631666; 779371270; 391824543; 334621050; 425194741; 490986952; 405423883; 294658403; 855035557; 268810322; 908627670; 850662293; 544492775; 787998170; 836929703; 305979856; 207950875; 66843008; 916238441; 572189328; 966287456; 144131350; 889967423; 771031945; 394270857; 224536928; 695808640; 388137927; 771022337; 625631027; 303754181; 653353920; 964589853; 938425465; 755683021; 323880830; 750963488; 337444540; 47795552; 504231403; 362678177; 711224267; 239181312; 352082927; 844697922; 608690808; 567108619; 820648549; 831470735; 131819488; 452875939; 236504294; 812755420; 448395358; 127429881; 895215665; 136500513; 680103027; 709741933; 83237379; 31186693; 85280038; 225015595; 990263321; 17403044; 702768466; 371625217; 689428379; 926411632; 208823805; 937725433; 687037143; 254938728; 813469932; 87663854; 742699924; 357511406; 704424156; 273193473; 335307671; 452555265; 760105171; 286664170; 999193583; 311599503; 465829552; 675180690; 326904371; 85410941; 709871833; 624283060; 314883674; 700936741; 986713996; 294309855; 230899320; 383249980; 94270733; 837273005; 707287632; 567074790; 114619612; 31292085; 718908009; 810426882; 152494066; 832704914; 945591132; 126567325; 388012698; 501494863; 718251516; 420292959; 169090612; 816089214; 486041868; 408081394; 653652506; 624130979; 980270500; 499322388; 51461772; 20518627; 959149107; 946721170; 30358281; 153193848; 402188570; 382703386; 97311690; 943934004; 267493692; 676485361; 271088763; 189392; 849949014; 368141519; 364426571; 929718969; 411807418; 526643452; 47842799; 162637920; 512298819; 624946145; 288148069; 730546282; 223375135; 279669518; 342929454; 346568452; 626325245; 203796627; 337747070; 546891917; 193446517; 88258816; 355206206; 168611927; 378242113; 633047195; 968530242; 220672359; 642613345; 77669205; 680408968; 348361636; 756117845; 487840395; 614614203; 290965357; 61735792; 775505792; 744913573; 74812209; 472870216; 498746395; 978216286; 992911656; 493492912; 416336926; 92777874; 378133612; 766773580; 503914590; 964014124; 816870855; 332837871; 549028976; 243723848; 611509005; 622776867; 701613586; 927530077; 29286350; 599358839; 272131387; 103586743; 650687795; 311131803; 72046091; 68131563; 459227920; 218545147; 402032457; 317222954; 981607464; 420560723; 834304223; 877986590; 617532088; 501035956; 959751365; 360466345; 929031678; 416090738; 486185860; 706203269; 387536723; 239108411; 531218988; 513951010; 507598745; 616765115; 821162559; 928774996; 273176472; 467459755; 290104105; 192278967; 748449422; 654293301; 386210412; 327961863; 638157305; 151392660; 779705436; 942335051; 487000033; 148619671; 901344202; 666388055; 393066941; 54726027; 191645409; 684468687; 980175064; 464987474; 833480336; 695936859; 464097615; 402828229; 295634363; 853727004; 1661910; 958138899; 33754215; 431244903; 559227878; 183171949; 244173362; 428954133; 584028446; 583152145; 447569574; 556165918; 89814802; 978740599; 965800971; 618787714; 162891221; 284079827; 121087786; 136778506; 366529974; 66624914; 677243573; 620811433; 793088703; 335350530; 308776003; 510778331; 560004445; 548539507; 944485252; 929068866; 422083797; 259531117; 616175949; 338886401; 560067580; 56068534; 403938305; 244133026; 14701152; 872463625; 963999547; 480723683; 97051622; 817860493; 8632649; 587901920; 105791497; 503119781; 544039641; 468694243; 249831778; 410203092; 862064688; 179676223; 784850455; 217885201; 629649222; 262463805; 865377180; 597277248; 604703598; 556928608; 945023813; 622907090; 415827563; 39885883; 744104712; 416657176; 525432884; 140724163; 223387080; 641317504; 626482675; 675861094; 79295850; 724357963; 762270059; 474202963; 252982983; 309335964; 852023575; 18761755; 212480871; 291500510; 474320530; 985554089; 933603379; 738044811; 563917627; 903925207; 387100824; 427841910; 45834372; 92553571; 98102425; 446235023; 25095098; 89786949; 512483814; 492330064; 136816605; 30099403; 857366777; 104934903; 579573961; 660556988; 601268415; 26240169; 705633420; 819961837; 272848665; 950592612; 900366993; 985378679; 916037221; 171375585; 949992542; 299967623; 283407342; 586902371; 480730687; 4088114; 380394370; 846518041; 867835508; 381493660; 706952084; 349131763; 750459987; 214077262; 437482647; 213515026; 579824327; 498340209; 498202749; 625073265; 988972259; 177523029; 784369756; 411918352; 680773690; 57695851; 172042152; 523892175; 43706140; 582641462; 584292083; 688261450; 590012175; 575450050; 364291531; 695107845; 148741851; 583468807; 474626062; 258562553; 566000705; 212770026; 734185142; 267619855; 841904976; 796960237; 949019366; 500928349; 273616844; 601858185; 115202506; 254433683; 823657759; 925761178; 390652234; 20905617; 60797389; 376248729; 886385098; 117979069; 679843273; 381652609; 103936454; 786941909; 91286776; 761794271; 826854270; 113928621; 49796393; 403052800; 202560184; 849612874; 862639786; 954851896; 946197829; 347013707; 136982428; 952003383; 287436486; 238181924; 537279327; 28579892; 676414413; 160655288; 83043560; 667895652; 536182301; 685278090; 567135300; 27400168; 812549357; 725852630; 465160349; 921396435; 902934209; 727315626; 271807750; 234055703; 347941992; 217346896; 935937011; 989386614; 146767874; 870930333; 678406583; 186581172; 214804318; 792178530; 273792025; 191345509; 365145778; 301612373; 360215683; 379102492; 268158014; 956724493; 670556196; 506120037; 567746164; 113041681; 264033478; 601202897; 957627338; 840088178; 86824413; 445340116; 181509034; 416619273; 659185210; 870122037; 969490674; 350761605; 234399748; 536636448; 900739384; 974382167; 44417973; 102839031; 76166966; 278503326; 31102458; 943072102; 831756119; 960378827; 556842802; 306024335; 231584378; 503839857; 261105150; 129403563; 38240617; 566476727; 25028064; 65465971; 181578371; 837045496; 861095475; 732392588; 16785361; 261830968; 287649773; 192973925; 361958570; 875160560; 752728547; 218428289; 863595469; 295557775; 726614606; 922582021; 402740625; 307713163; 135184696; 526938641; 825723154; 473161125; 622463123; 415279809; 618053891; 981487310; 680772766; 206049248; 311165464; 456151871; 931405637; 876272495; 482680006; 530479461; 318895592; 253914388; 600544174; 434429887; 718953453; 821302784; 31339654; 502185703; 787212430; 786958035; 717125604; 89926190; 378926973; 260457654; 258326884; 333508196; 920081823; 888386730; 109721355; 317288849; 284888377; 871748095; 92999752; 129853916; 860626543; 961375327; 217319026; 767591300; 679515786; 861694653; 391141160; 88724233; 898719585; 193332111; 799380521; 160104301; 720185093; 812746383; 257409242; 913721848; 752988567; 972404785; 453738053; 143024510; 151131826; 171577136; 755425529; 648956078; 475703195; 193490964; 155830244; 401693373; 501547323; 149233723; 501253165; 796094513; 560557365; 674880158; 425847412; 789234724; 934522982; 235543747; 640964113; 868599905; 506939895; 26688794; 235455597; 119204086; 885724989; 418558546; 243624597; 979976483; 913358438; 654359926; 135937620; 569321168; 211509609; 307349745; 384998829; 563177493; 510387494; 322418416; 382155418; 179873810; 85818298; 40487879; 286977883; 264650851; 239246502; 433008; 795409932; 161143395; 851066705; 522577922; 51969475; 303097170; 525446882; 1260937; 813518302; 621876167; 768213354; 889225166; 564564166; 64079567; 855391565; 558931146; 818035247; 99770910; 278994908; 43228303; 281022961; 74639090; 36669996; 332255545; 409997028; 29504392; 515492845; 403369011; 594607407; 472078682; 319344991; 746437824; 611353666; 858373052; 617373639; 471994843; 763925526; 141853143; 369516300; 495755351; 133929659; 304278447; 340412102; 182609802; 194427504; 260506160; 912804989; 136246535; 19131913; 770883893; 222764940; 622729176; 999390488; 27942475; 292693708; 323781574; 480939154; 267234098; 44354366; 238789023; 756340601; 913622507; 810880044; 767373666; 952476974; 218531847; 337345311; 269719503; 124549413; 332859772; 913039131; 825371411; 550775739; 743858124; 250821189; 677756223; 65370794; 347351633; 85301263; 155371960; 758492635; 306945004; 507009987; 806625865; 587306687; 94151435; 445273913; 464176579; 594574641; 396701891; 68229526; 347861958; 49736786; 156968774; 486977742; 908771719; 387923681; 545191516; 589794745; 570976491; 983061156; 99594946; 863327089; 478535740; 173801790; 505716536; 980059937; 823448352; 310516801; 236536245; 596843812; 793446145; 509000348; 279449893; 371168424; 740725742; 220318780; 804525331; 148531381; 591440983; 787936188; 172089621; 839330789; 155362486; 176904476; 179920846; 462273540; 949684681; 116941022; 298917022; 963045832; 148226950; 313079294; 297045981; 272514387; 19472100; 787574941; 917085852; 685356712; 899339069; 452791686; 463182021; 63056345; 44241627; 536478890; 151523778; 395522268; 367864926; 838841020; 285726507; 554669659; 184905634; 742433109; 249409261; 781280163; 684857004; 460892738; 245052214; 312672979; 644463614; 44150004; 824160443; 195874280; 855248962; 169104717; 597163617; 103510010; 751954822; 374287915; 769316563; 113759039; 665659317; 661241451; 802341914; 11181895; 851763213; 135346535; 825844045; 638189759; 172707220; 188567925; 699433552; 790140084; 710954284; 5020665; 790507422; 909813702; 799202767; 789744445; 44956269; 988941546; 662253141; 471931895; 863889811; 858315485; 643220129; 609553047; 788851957; 813822809; 800287507; 293922598; 183525156; 870331995; 486472005; 722356426; 1426155; 466071882; 37128501; 21550214; 159863360; 904448010; 535656596; 134020476; 495084181; 155440139; 976719629; 767544431; 228240157; 726004533; 321958094; 385010040; 527642363; 336883841; 393828409; 552663231; 238746592; 874641217; 238295470; 490506067; 890256380; 313887046; 954571558; 625347754; 137036504; 299137324; 187974073; 984118908; 17567153; 677307178; 671898072; 593636359; 409297401; 470938340; 195383404; 663287121; 774337040; 168454574; 234914258; 591403157; 85601696; 120836858; 504575553; 301142091; 893963887; 762067181; 95759418; 200289891; 478819458; 582943946; 21537448; 996425170; 727074791; 239265113; 366577079; 635968060; 209879763; 384305484; 913054350; 347477148; 251727432; 461658224; 464731534; 979080068; 992882432; 565021945; 581353310; 66165450; 346489985; 462560156; 828518484; 389122463; 423075823; 619297788; 137971880; 747645232; 920305068; 377438381; 404712970; 655316265; 746386685; 862736878; 91442617; 877556098; 369810960; 504277209; 823766413; 507818138; 68788864; 159468632; 136847349; 348839851; 835510406; 159459664; 404903009; 401552292; 459435207; 628383693; 7539421; 515146380; 262182013; 659089754; 440013090; 300924598; 173328361; 803604029; 250969610; 191677037; 556387584; 472610737; 909624019; 629047472; 168708979; 769301010; 533755719; 319195838; 860266461; 298559175; 287451096; 309594172; 459704419; 829247412; 639996372; 41301244; 930750077; 249425630; 629210538; 14532017; 946954128; 982886385; 9672197; 262585052; 664742393; 749692050; 592716590; 626932772; 747161998; 482916310; 343875324; 274023813; 273160949; 423904105; 90029175; 874020739; 347848841; 219446851; 80505871; 917793532; 135853995; 631608006; 731641895; 526321382; 587101429; 890249558; 51830958; 766713682; 241537294; 620012991; 714012879; 958934633; 918409416; 309089925; 472080943; 246336413; 189852268; 396966351; 794652402; 677436245; 492197810; 438966600; 265407286; 970767471; 747527271; 415635650; 673595508; 109319236; 249603864; 698188341; 998080299; 10579186; 458689641; 333071021; 397600865; 837531047; 865092630; 207637421; 710313196; 485252187; 717954835; 94011131; 817893332; 922481624; 418417011; 547825706; 987001149; 467716181; 189803599; 933009911; 450364499; 366419009; 507471621; 297013854; 611625157; 913848205; 816940710; 363241574; 480376004; 632511988; 349268017; 99510975; 896800618; 20957257; 667136626; 682967420; 784432860; 936889935; 795903918; 709771676; 389322139; 709051292; 427393296; 565935890; 697876732; 299955216; 37364267; 939049548; 940010077; 831345644; 769648045; 7767575; 240758134; 871547295; 684371172; 340981263; 123073219; 654636490; 150638263; 906037085; 268941026; 825993582; 375449959; 888633615; 727905021; 434615509; 637455730; 875646512; 980782540; 115616482; 437050826; 625133362; 272940390; 53279330; 623642143; 650342096; 800562138; 373612502; 803727922; 134013241; 722570984; 925052253; 681045189; 595119700; 403399826; 793811892; 380288517; 452016335; 298884778; 418798496; 559519837; 446947295; 522268675; 746812883; 847977696; 440670840; 967253108; 883729101; 813625414; 470472376; 497893062; 565421185; 514770449; 37886862; 422107130; 877888262; 805448769; 317842972; 106716364; 457077222; 487386776; 619884017; 701647167; 323450706; 924675576; 610525255; 842585852; 652421730; 613903086; 677038111; 150424496; 659692947; 719704394; 916209547; 121672094; 529693614; 54797798; 355035678; 600808582; 367375414; 294615020; 543142894; 163510762; 20182205; 749075965; 401998900; 798941538; 766101146; 554427678; 116285338; 690396432; 953594662; 30152042; 265342790; 624927895; 406342314; 504305670; 144546567; 842780975; 215600692; 383314323; 601198807; 274737470; 838130097; 266973847; 320987561; 435707079; 860112419; 359254473; 497999205; 55304625; 805638418; 130798849; 690412174; 830031540; 407276482; 329203935; 553667410; 953334599; 145087607; 752962719; 263446847; 65441300; 546519690; 615474310; 110000670; 113613743; 794313965; 384112437; 979174410; 13444838; 286743230; 960285697; 540069925; 307282004; 148409652; 818464889; 883057580; 33644699; 436034836; 140356312; 2184607; 761906890; 884268489; 943341822; 420814233; 572487785; 292664984; 987956843; 717597808; 509417288; 767309817; 559812155; 695660327; 395390504; 534562117; 391757712; 7292167; 122059701; 957559000; 315275253; 778089919; 701002690; 181426825; 43522511; 874544364; 419889381; 184640792; 257743383; 169919953; 162725719; 530746589; 21806025; 476313762; 636951355; 800361405; 199108840; 382194066; 171850; 182032140; 882473899; 419825710; 230011401; 326551197; 538153943; 279350642; 975678077; 292781118; 229768421; 205974333; 228565731; 815782915; 517567123; 413415691; 754329842; 366819372; 491593618; 71984570; 779202181; 259947311; 585952820; 162426984; 952918457; 269362805; 337253256; 510218295; 649671982; 178624419; 94501319; 439764255; 113656980; 749911571; 87429388; 852778470; 526001577; 540223890; 631124558; 311330614; 497745293; 54532352; 771725480; 330326274; 953422291; 771513107; 447191508; 895359470; 584675952; 909682893; 842294783; 539964461; 543466915; 32259542; 429130140; 244716802; 588018096; 186919973; 13737814; 611496091; 614893652; 498994654; 352651128; 801803828; 919197043; 485607819; 108949943; 291446205; 972551903; 516407308; 413126928; 919424637; 896930886; 307862015; 814033447; 318545669; 808337199; 552441836; 142526986; 482161945; 333884475; 227902651; 375325318; 39716905; 761194257; 562130061; 199071171; 131669099; 834118162; 374503943; 518128121; 631198166; 684089095; 833168999; 299036033; 936907476; 480713720; 326609459; 696062255; 539999792; 341634517; 713933165; 60170184; 969838470; 98234515; 143644328; 447199661; 567459071; 173421784; 474477103; 591538911; 157378742; 970931835; 885372590; 593190162; 943680189; 843782140; 856553820; 961005059; 335999118; 132469133; 866426887; 39003681; 938035445; 64233449; 560301601; 659620340; 67489220; 854908012; 499436233; 396299190; 857356731; 420885009; 753668604; 579383007; 494250532; 754370691; 807814911; 393671176; 350419980; 763643068; 91942721; 298664625; 513244281; 8797265; 470654720; 617081822; 963548162; 234261667; 829281497; 314920608; 852863458; 490662676; 868882072; 628079678; 891799838; 1812998; 873499912; 38691623; 841533297; 167964955; 605066796; 924624422; 691771372; 439664955; 942670008; 654484888; 170748298; 747733646; 260786379; 842420800; 181424110; 815489453; 475734791; 700185636; 608358158; 226858118; 681415459; 96736907; 381944746; 827521318; 703542235; 155532871; 407634914; 372097683; 672932118; 612165085; 806007121; 613165029; 728944103; 729386837; 573812128; 98208085; 38742914; 660565653; 443433587; 942478662; 966984816; 252301134; 295644383; 508400964; 83194518; 726833898; 196571294; 330906682; 727945202; 291177859; 357257567; 876350021; 359804581; 882466846; 795423888; 933717538; 304795984; 818845402; 821064879; 710432881; 740586928; 111851235; 468896735; 250315980; 192487966; 953249374; 989150763; 755387932; 752385659; 724609614; 883040840; 826568048; 482726987; 421891126; 316418313; 658814755; 882765721; 433597764; 729608548; 349705465; 457684921; 770037177; 41844118; 914173109; 872405637; 623957606; 792914047; 970234671; 907160801; 313272429; 201980284; 4415540; 102294948; 463235521; 533767982; 858366441; 124631524; 854720101; 224014115; 179269573; 372916320; 367664179; 345584137; 440079604; 365731905; 906576589; 230396316; 696038073; 909298470; 820759515; 310697347; 394387811; 615547298; 277554074; 242064995; 186607097; 385874757; 366635781; 993019754; 551073392; 613802945; 351339310; 723933323; 216823676; 465630420; 808511690; 114580355; 607233196; 86344405; 902961958; 337238707; 670457623; 569227451; 473232309; 396057735; 489295628; 904032665; 96034423; 628704359; 187767876; 244720697; 96169740; 247451818; 157888538; 938261622; 532502908; 974541108; 16598964; 166183417; 32806768; 782528087; 581059701; 429308404; 487507376; 604568531; 502854853; 526553809; 149028214; 787161712; 721618473; 520562451; 429163690; 363157162; 220253999; 695225224; 982322828; 791164750; 337571118; 972845412; 582638093; 229689491; 970221085; 746856183; 920073521; 442360272; 933867718; 406917372; 820222333; 395566927; 74262648; 175459690; 348950108; 539590845; 521928331; 904073434; 479738473; 437525738; 593836748; 392311990; 985410115; 836419060; 567219940; 564571095; 322015210; 755193180; 675048605; 51872729; 997335598; 421763411; 224809678; 596705858; 494207959; 292840255; 384390431; 979223483; 423783352; 671024248; 291182996; 174291134; 113857815; 476449231; 598988087; 607520564; 241186112; 22518697; 287485696; 690042956; 597861321; 176692171; 363583340; 500981474; 529131136; 908673974; 226738800; 418333793; 382108029; 893220378; 425323068; 381068680; 791606499; 552518635; 814214360; 249422074; 971167094; 791650734; 972366174; 26095831; 952305754; 529716826; 87264678; 935598819; 139411762; 501010245; 820960210; 873972570; 381154881; 990483134; 305807054; 42694275; 332779388; 497658913; 826675642; 232820606; 186101300; 6452380; 131556289; 838356187; 242900912; 850609692; 390292465; 660518595; 625249774; 846890585; 167185603; 336847158; 104004260; 154733079; 85737883; 103773178; 527223041; 133049136; 480461050; 83233235; 432387866; 999455285; 562474336; 697237048; 564983857; 600563691; 755456968; 44454508; 601539069; 114678988; 467756875; 810206800; 367692613; 650823323; 832450066; 745362761; 440796599; 880985113; 263314425; 687540443; 131547277; 780405485; 608983333; 848629795; 121713727; 362244363; 20802011; 910794057; 657942580; 886873606; 749572972; 307550848; 991001286; 489857597; 451765092; 24809275; 401834863; 170047998; 669445711; 504031158; 707824005; 999635609; 378201136; 378164139; 867185612; 314606663; 754170687; 998551922; 35869012; 186699720; 411247520; 172236003; 366586508; 144939596; 866778617; 984875454; 454853169; 701985486; 636092747; 81700805; 153247666; 662888841; 505645766; 636735750; 96800926; 202773384; 121592492; 322859856; 602275330; 239591873; 75336373; 559535464; 750299632; 454604499; 309692294; 796412677; 492429571; 113770007; 93921921; 783255432; 158894702; 75289566; 38253721; 595188931; 225206247; 132825687; 83053018; 595960892; 84200213; 699640525; 173035739; 279346495; 840446828; 516415193; 476285079; 385936308; 381429656; 993492287; 777499323; 594569139; 19299769; 211946536; 323193473; 824004564; 28577311; 94173679; 95509250; 820897906; 669474889; 334962809; 229030035; 562798363; 194378149; 246339042; 280893132; 300305786; 951277337; 847652131; 32535455; 65399122; 881898648; 261940645; 443902890; 846479912; 449779450; 183159146; 400912971; 337079300; 20824019; 225133778; 276749314; 207861772; 90215278; 299106632; 505867044; 643516985; 526646587; 36706942; 738687372; 759633761; 253849571; 603903906; 804589932; 455301181; 463014322; 903006479; 562828633; 995624047; 745903908; 678991733; 489876267; 138401171; 848635772; 888164204; 739694927; 333582014; 248367592; 10721427; 357446407; 475434206; 320664224; 852006760; 678803159; 409826055; 717744813; 403299367; 963934599; 188580419; 209368084; 556102879; 109670284; 951323069; 984693169; 687725676; 545295012; 397147671; 372368649; 31046366; 779217099; 653421129; 203037957; 507225572; 457427594; 579724166; 42025757; 856843065; 139552008; 516148088; 516134979; 627741342; 630564797; 517878981; 707225372; 876224637; 472062017; 840849039; 692335505; 854080264; 975812067; 766960862; 455687168; 638096007; 404799545; 500240821; 615244280; 168298481; 889187427; 302653187; 325541097; 298196988; 702370838; 154390320; 548368091; 893741826; 456499954; 422473015; 377587600; 880675987; 972887979; 92848960; 439985665; 904178321; 518756855; 163439077; 501601045; 363576494; 107548285; 11079074; 346919542; 739876470; 35332562; 549592668; 13245524; 143062310; 650389392; 310000901; 137273781; 564696340; 17657246; 581107704; 662224915; 301333325; 844074554; 531132302; 667724130; 536413906; 27187851; 850600294; 321326826; 807319693; 256619042; 103256708; 755779642; 683467922; 646673062; 806091318; 818584041; 982805134; 622763658; 86972367; 204299098; 695723166; 238374877; 313058903; 599409902; 757769385; 935094903; 685387304; 551967586; 626401837; 27026799; 77264148; 958142238; 7021931; 902537294; 348505552; 156417532; 301182818; 380969143; 153256999; 432625203; 833405002; 983108878; 547444435; 624703926; 610310131; 301214259; 188384275; 413424852; 186605343; 928205672; 235866055; 91155011; 944142278; 844056060; 921357311; 547530392; 621366421; 868379621; 101890134; 744294122; 108400965; 585535431; 941223236; 202413414; 707964873; 954375981; 655806805; 148469318; 69933221; 481973396; 355094075; 291842012; 28583510; 520303777; 931691932; 373652373; 715224878; 340120109; 923074984; 656566333; 394603976; 193378397; 519399779; 242009600; 16249142; 205159838; 593127618; 133643239; 700501613; 507148355; 95810671; 518804081; 555480872; 838952366; 2722467; 232199376; 504242239; 992972387; 578617371; 175243675; 834856251; 84288631; 510090496; 527454853; 774153742; 451205376; 978473956; 672055800; 106895170; 658257324; 287447496; 703310011; 44245185; 281613759; 985117004; 806731670; 472746043; 131297326; 261766978; 93496296; 999631754; 930502436; 723861751; 447817714; 411571551; 580752396; 865672175; 460794428; 654252143; 705162682; 687675245; 522234030; 820100348; 398260854; 674209868; 1073287; 753762350; 125031358; 310295870; 726360835; 451312891; 569659846; 81852236; 648305201; 776455795; 937816883; 591725649; 958549189; 216967266; 982968757; 390179751; 208660960; 889006537; 756009824; 982146223; 554521392; 311129475; 500014701; 157545041; 20332501; 776257409; 948679308; 911461378; 278846990; 26078764; 567884673; 906617361; 999429812; 611685361; 291493954; 608793488; 900727214; 853224874; 66347913; 761303311; 965239635; 270941528; 137700479; 618612918; 65240759; 94973333; 434948543; 170983368; 353121657; 603331236; 494893572; 997580715; 401807424; 54371163; 794762770; 779150306; 407431856; 550733040; 650085067; 947941945; 984061253; 140142363; 248444734; 805084822; 278075736; 171120616; 191257921; 885867795; 382869907; 503122447; 343798655; 384161000; 514737082; 624615692; 707356725; 808810963; 226929570; 657378152; 495090263; 606067931; 852630001; 170937035; 712454612; 853122997; 42120808; 727284869; 341096867; 22916188; 747518081; 342960800; 541434116; 259919570; 349127; 993343309; 626957752; 294428033; 737854833; 708209238; 309401533; 89247876; 338569055; 218861075; 751517369; 605433330; 132254374; 306074196; 512702090; 752793226; 767048599; 504130315; 491045674; 341924584; 910608849; 637168597; 981983350; 522503466; 634761242; 842141589; 568824613; 330413190; 76174864; 151965562; 494736532; 745191988; 61228323; 410754245; 300684995; 901179527; 299612696; 795948597; 984356687; 315227548; 325340712; 720374318; 675427002; 106754704; 157232235; 273125698; 80246967; 154867932; 945585378; 532734615; 509582186; 296879847; 504462953; 965241506; 731614057; 43159677; 597928482; 330501085; 201375012; 293116718; 789470025; 412051075; 123429227; 975239366; 959980500; 355217012; 676088395; 860350698; 644343162; 42805924; 850842927; 617621396; 399950486; 579897164; 827421169; 938043968; 16870023; 369030755; 643319719; 49010457; 847888143; 392955385; 861540428; 521128128; 338350848; 821243982; 175778591; 116316082; 441043590; 498558857; 67113237; 365510371; 865564135; 895616843; 743361912; 755817912; 274680224; 667702203; 331649606; 296293474; 265490951; 797897015; 427017048; 513697670; 276335268; 797377010; 316447667; 59199545; 91552432; 251685847; 755105758; 533615198; 280849262; 571184940; 477250279; 692446598; 598228469; 216265570; 897172815; 512751725; 459802963; 47556047; 824621973; 801694655; 576844448; 71019235; 782710850; 540470220; 439892195; 305117831; 227232427; 471042743; 712756973; 123412983; 180832466; 675348514; 52408662; 175893445; 196900351; 256446609; 175193596; 726046383; 82372866; 983564175; 866158019; 471862971; 884272346; 390602269; 436928712; 614660183; 644288691; 422304872; 41869798; 181764762; 261535194; 426929939; 923357917; 87827360; 60596586; 247347948; 769012480; 479205598; 931963956; 967720718; 290070190; 247361720; 62988197; 230649759; 987472641; 196923581; 3020652; 265541235; 950332780; 218729854; 595953973; 585980485; 1049341; 472378275; 915531017; 966696050; 328274778; 332339825; 100782021; 669862095; 634015965; 431928420; 876412218; 471742221; 341240474; 26411080; 811219030; 954564390; 662428408; 637180214; 683937983; 991082328; 872685635; 274240436; 614234364; 84066481; 292074727; 269987752; 730504483; 59299152; 76097898; 33234435; 4707415; 321995643; 291177990; 219800510; 336158875; 306987359; 213596888; 804688165; 76352290; 866148290; 268983350; 515389464; 350744158; 232213927; 229038912; 411478417; 91276077; 76120473; 239865962; 72768319; 674391680; 293279925; 658195814; 145271473; 718192601; 442842733; 141455265; 411955230; 787858555; 341936714; 14896526; 108465692; 907801107; 363027072; 567540935; 749349823; 874020240; 335409888; 364388497; 81386145; 353465126; 28677775; 271651389; 109786821; 210181167; 810454502; 4119885; 471715295; 392262679; 272102105; 795880843; 341811774; 608510591; 154952936; 645254885; 756387854; 309306425; 182736007; 80538287; 671847088; 839015619; 109286328; 927619921; 465487020; 322896298; 762295577; 243062349; 927160927; 478436486; 981151512; 627651722; 297385933; 129442147; 764156526; 605525100; 582633598; 136131263; 274738902; 846923848; 966792777; 308713592; 719511657; 29870503; 948788382; 857738320; 489596091; 948565876; 88212201; 963598575; 218263680; 888716879; 863492698; 313352910; 224431206; 488039853; 746572565; 960599248; 807108758; 77343710; 165977337; 314360776; 860285583; 845450648; 331869266; 231444848; 485783936; 124786773; 692279043; 735881960; 86716194; 533038415; 395733870; 481907322; 79901425; 395413660; 636175044; 7972257; 667917360; 963383598; 190773384; 795533673; 885491635; 43106956; 309843017; 219121805; 609611326; 525457480; 455795613; 323573405; 20775239; 634898447; 392909801; 619959599; 4364973; 245444266; 311852750; 398931584; 836918116; 830431729; 6179725; 365396715; 236529057; 410446320; 986781053; 759817341; 412089055; 683781065; 220035735; 753353454; 839021563; 769140388; 27883023; 972739683; 78818518; 185360838; 623684733; 143053054; 638283146; 636167349; 349866027; 107063186; 878962912; 813174934; 758421025; 701540056; 85176722; 640681566; 78692219; 246051071; 172531813; 463400958; 688910160; 624785059; 48315934; 750709744; 303766313; 856783449; 931617088; 414135145; 702151870; 377205554; 671135489; 29653348; 49511929; 477881760; 436209714; 135628027; 802668726; 366100099; 403868931; 124967851; 32168004; 214985704; 978536328; 490086959; 460321464; 149576320; 97265789; 976450769; 438008389; 339072412; 656209103; 119614048; 418919804; 209521705; 914807537; 177205340; 581579776; 831491660; 359286813; 799422869; 738211743; 483675752; 764491357; 255929965; 185567232; 910323464; 712603003; 360588102; 308422388; 944043506; 630448956; 719358714; 369788555; 930512707; 797651110; 146319052; 268063276; 109011404; 801815204; 194773774; 598527292; 686878087; 953818032; 350190002; 132463614; 946165673; 914386438; 929622586; 31011207; 168685941; 37629321; 295071029; 453958026; 68973279; 274654257; 880904438; 911937400; 954331410; 491575905; 662685110; 33125488; 830650132; 250206619; 137772541; 164874543; 517084669; 781965160; 49569870; 281108956; 559037099; 987558578; 559638001; 225719175; 807159003; 440466585; 221791771; 893810416; 273962374; 591738945; 136459156; 111930935; 357113791; 77250565; 920201686; 27652921; 168061656; 509320230; 516236067; 228649175; 774019665; 303946537; 912568273; 763982616; 814731048; 771947795; 334699555; 628612266; 596320429; 359215528; 682801891; 610310506; 93248248; 546367917; 716583227; 509610741; 125797324; 202732687; 272679576; 1566601; 599410264; 579158307; 986106133; 226082651; 9196670; 452031023; 377595955; 367211206; 945739883; 934168080; 411854489; 541875469; 85079543; 643238705; 803234091; 930067972; 61248417; 932082998; 48275023; 699265683; 48090667; 40563186; 410666315; 310785172; 954924700; 64499823; 576291359; 803790065; 763516453; 319717553; 631613305; 134729877; 309260974; 570730339; 298896114; 624164835; 68189626; 201075232; 930238317; 832210948; 387221131; 379234378; 581078136; 163310224; 626566813; 651528636; 314905808; 13715252; 647461562; 425520697; 782160862; 13790874; 318687662; 626706735; 873305154; 222712864; 819672815; 276759749; 443233133; 827780705; 794394959; 133790435; 241515; 19590787; 54039318; 415013753; 147581836; 46625924; 92889757; 508140979; 155224236; 8908223; 725387605; 779871287; 909809433; 847217386; 244412946; 494377820; 91464815; 722049408; 854090353; 838274522; 292201407; 175902588; 405074835; 879817110; 278636758; 990291673; 501230063; 771141450; 466565035; 20134486; 998308196; 435346588; 583540864; 336495482; 516189271; 727287876; 121376351; 759083153; 130222151; 989673181; 312390828; 213376807; 251154842; 72828133; 347163791; 573150579; 44801007; 758426463; 771117180; 598612227; 466033922; 983961311; 836608657; 691703808; 462537714; 117702848; 142700122; 39927497; 400286121; 343350224; 448272113; 457717101; 660334804; 661323424; 800828097; 649898204; 238974644; 621253816; 237644022; 21394704; 18123825; 724149981; 302630605; 328909429; 541812005; 269743978; 902189488; 733845154; 379746703; 125592107; 356348040; 898544769; 742083643; 638662725; 861458055; 300704556; 57960267; 594348857; 273938190; 582957275; 45761410; 490665613; 374629510; 294037919; 904040790; 175524620; 823512783; 185239212; 542256019; 634630394; 762726173; 111593753; 392390659; 507474845; 614478438; 509120492; 967479295; 570781248; 204366439; 43729486; 305249271; 379815559; 326375174; 598175359; 77027376; 222130061; 689566924; 127085324; 841837324; 493629956; 308368220; 815004732; 94011610; 934500887; 532192852; 52085408; 101605081; 573464966; 902797262; 511750870; 533480792; 975644147; 838130212; 44067041; 775639688; 717380387; 677544053; 879614676; 849979561; 488806939; 292690755; 569430596; 399265537; 273423626; 451424875; 283165157; 51614068; 719900712; 251749337; 477550408; 729368883; 712658770; 442348107; 500498376; 533765664; 429132549; 869559432; 28391562; 565553705; 47536227; 105120973; 659717322; 211334714; 675586740; 672214740; 520625067; 59518038; 363774808; 412520611; 168758003; 125511572; 274552628; 998319631; 819850490; 127700024; 345733417; 866491539; 260958064; 747458265; 756555289; 467356946; 49025781; 888989615; 18955356; 943318907; 223375917; 472322509; 839264788; 962731500; 18373763; 674186799; 483691233; 287699619; 394382480; 249063594; 177133931; 509862015; 300434737; 517869700; 162903855; 887831408; 17081290; 832372463; 193902147; 618744624; 949572142; 400018469; 365338013; 993611400; 322078411; 14412190; 316317087; 461222651; 724835889; 216746160; 422324153; 758037318; 523416651; 25971966; 397736414; 947742921; 602889233; 253001174; 366678080; 335732288; 330947431; 606806497; 365220294; 1462533; 493351584; 15010989; 399621255; 599092291; 841883837; 19304563; 456186135; 449885657; 841039626; 177284185; 111779506; 147872243; 179645108; 956344328; 115186766; 812040138; 762983109; 772874994; 307718072; 264128625; 131825355; 220738025; 560712238; 426321346; 926309996; 694145216; 721149714; 974693059; 965643779; 822697210; 277136118; 738418906; 822884858; 469382809; 244975983; 72422893; 825364137; 780016878; 706408504; 769934716; 687462176; 722060755; 10435324; 566990662; 532170938; 383736607; 99254347; 575147745; 997568637; 720203232; 943868770; 436527114; 415693868; 259218282; 722085351; 518246840; 789285592; 898287526; 449102767; 793181179; 806927494; 859547188; 438742317; 940060614; 292255655; 958912907; 371037362; 201573712; 981341186; 288688140; 430325864; 320442932; 780183623; 577630137; 713001794; 303340728; 611301852; 428218252; 186955055; 278908837; 270473175; 183226485; 178703264; 771768930; 720853870; 88148198; 378287345; 339613481; 348088268; 245394542; 836716854; 759825472; 908951770; 237515786; 735892832; 211334542; 231098168; 216322645; 218098514; 631449621; 687141486; 265281288; 278197432; 69428162; 108040680; 328544366; 800536756; 970680472; 699575151; 898791987; 78968650; 16307726; 622702406; 448488082; 367967619; 577500600; 487433747; 350902033; 207444368; 6486453; 997194843; 91199240; 781881569; 565525725; 524532906; 950308773; 520693729; 734788432; 242228010; 818281151; 629790800; 648718418; 904644692; 121402358; 474885458; 980084251; 615086010; 463128921; 344573756; 525003540; 723318395; 976922538; 317083106; 283296013; 862407203; 167985345; 840442640; 350835330; 409934654; 849550879; 323058386; 772099836; 607885987; 699209238; 346998251; 52642402; 391352374; 780698389; 317688305; 655360324; 170564486; 991941413; 825350213; 279660862; 437709892; 460395511; 522703863; 282638873; 798741780; 303949678; 21507056; 440826544; 935580456; 566382606; 310315614; 816346169; 768483402; 621481847; 423729807; 792883632; 304454996; 114261947; 293553660; 99659489; 448387087; 199109541; 952110272; 836308647; 797452788; 192339000; 549022692; 871819452; 164626996; 378127861; 539590116; 358073785; 367549194; 840830866; 660700424; 427730165; 54297020; 356442819; 290476152; 220104825; 459576902; 999402942; 896686287; 445426452; 643790002; 513075886; 82525027; 169543716; 698723951; 759581233; 699779422; 683931787; 794687063; 829398661; 516972090; 602261659; 308926345; 677469924; 670347735; 945214899; 825680089; 8241522; 182300987; 402365909; 952625971; 476530458; 300288408; 345324021; 357096280; 710901085; 367581301; 394396551; 425243208; 344131463; 924836572; 285854297; 71337918; 105265701; 715685044; 516631475; 366651059; 657335452; 345644403; 948985305; 919964644; 635711434; 528617184; 11366851; 534289110; 675785459; 534705671; 76126783; 816006469; 995607326; 384685882; 199831315; 612393616; 528644132; 957754555; 209018611; 934033111; 978354087; 894623191; 418261699; 697116900; 44726549; 778752118; 766178863; 216824018; 703269954; 35429709; 542796113; 239394651; 582379406; 233127181; 406048947; 558900170; 204179245; 417179470; 771912667; 482475141; 422713235; 243589721; 466910617; 315029013; 519291465; 333177672; 70010498; 592445348; 751078960; 779163065; 277967051; 84403913; 534077; 394046359; 288873084; 981985836; 977690679; 873750047; 551270972; 164832864; 145061495; 416200494; 974295365; 344822591; 566522641; 394473699; 859961900; 446188157; 468269894; 334770446; 434540463; 525282703; 518008808; 138474383; 25529740; 182237390; 151235695; 26344826; 33531072; 445908646; 66380264; 595050779; 210308128; 602383865; 841614987; 759122598; 936076986; 977793448; 33324623; 789627345; 327289047; 311287224; 591140580; 516757792; 61023073; 341015749; 403758670; 447860175; 584666818; 670864171; 632952801; 416670365; 318826498; 496678871; 76700048; 402700754; 684300700; 531450029; 816085483; 665673479; 808178120; 412534582; 994907815; 96165668; 791820198; 32425513; 414852364; 894644088; 875719614; 20165962; 129529423; 309917181; 586839102; 252804809; 272937772; 405548376; 747082929; 918847590; 892213693; 448849161; 287943630; 560520722; 41099651; 344069311; 858964086; 769684170; 703576234; 391544911; 92824821; 615926077; 769602053; 916677045; 102206603; 318539689; 74144617; 703594238; 691287905; 942643365; 618831238; 933114262; 176965299; 383399242; 850203575; 33759475; 650444141; 375407612; 857817471; 778523635; 221032336; 777163111; 200514448; 703357632; 165062472; 554418890; 281181784; 21261289; 864941665; 576299760; 913282810; 802828768; 90390955; 895759223; 743317362; 917647131; 374328911; 755006595; 78037841; 203981221; 141915330; 123334474; 544662014; 894688957; 3129072; 954368147; 141821580; 247950886; 697919323; 73395494; 808137480; 767182913; 469678548; 595572320; 740725689; 337268045; 53922488; 414351769; 788250364; 451288814; 660008309; 277769666; 370460378; 202117331; 166543654; 909647841; 667049197; 133447098; 538465467; 750734303; 975797291; 781114222; 696021313; 864547752; 303517401; 416907372; 688001548; 420072397; 236845950; 699674629; 277380358; 676434434; 949337122; 138406650; 265935489; 286705836; 189162265; 285574170; 995700635; 598584002; 768369647; 43546280; 713026718; 927855402; 645725818; 261903090; 916533087; 624912356; 879589763; 206625452; 555431775; 955024790; 624556438; 936743494; 31358075; 838955981; 688128976; 999217717; 627490669; 996100033; 725827911; 580876210; 330838545; 66631684; 538614394; 489633817; 521347772; 434313671; 414628404; 910033903; 167448328; 315242897; 964579390; 457698856; 393133320; 912362879; 422170362; 625976039; 426071329; 395426705; 24146330; 402982785; 584732950; 951238810; 668978060; 896681061; 399958118; 372286825; 906345022; 361242009; 642826278; 602671653; 59921087; 470883790; 6171240; 221901154; 80530451; 940572475; 369272976; 159050404; 626040046; 789581909; 849195667; 961184889; 919727631; 983864478; 357121036; 827878426; 811879156; 171836076; 250128627; 933243951; 30589691; 225427713; 882202893; 566548791; 938475743; 127341287; 915741228; 766555079; 1587683; 116582782; 931155138; 574312519; 310839147; 314016824; 401561679; 428044190; 497317200; 872400778; 417863236; 954613895; 489975298; 597460299; 954001842; 207119449; 239738147; 371129008; 707484338; 954659810; 922336765; 542583172; 670247651; 636164531; 205599344; 62718669; 460037520; 196880465; 739780648; 212633100; 27012885; 736275764; 631100032; 10051694; 747146176; 746685209; 906101682; 638654241; 3665865; 451057269; 973533707; 273054449; 550430595; 6111708; 564292081; 58941981; 778661486; 670828682; 659013828; 309910666; 259254310; 158950106; 370078691; 863150754; 46272462; 397948660; 173077842; 846997377; 42851308; 95765996; 763537080; 703396496; 673249894; 691860202; 551891619; 837976032; 884398172; 73793849; 905707761; 317074207; 164652720; 470142916; 562619110; 512753340; 986492838; 642777847; 6354271; 359970889; 801994792; 845070482; 785934339; 360976462; 334116721; 992059265; 362900116; 245354145; 676033522; 505767025; 140117135; 233586667; 66056534; 278047158; 993172274; 509972581; 223966186; 972589452; 330989404; 254798936; 723919868; 592922515; 187272287; 187999862; 793225844; 312073504; 833592618; 106063724; 287152445; 692831144; 558874070; 136455; 734432171; 253967746; 277617807; 576753285; 359764178; 551347414; 693962746; 19094212; 67450498; 445978811; 37677300; 449619456; 145710235; 609178657; 355428884; 834651818; 801628964; 96016193; 564767128; 378598268; 203346166; 976963112; 381938699; 886140668; 778394259; 359673223; 377476822; 143427020; 934353337; 979958483; 635584437; 319117582; 178804381; 234172140; 851191527; 957856759; 819713313; 48368099; 313379989; 265141668; 27578257; 421889592; 873158703; 914122338; 523946218; 880484083; 707135768; 208939077; 318179490; 967159963; 629485146; 386213878; 801049463; 722273795; 991523032; 250267709; 126537048; 81496523; 640515931; 198373371; 624406397; 690392596; 136691034; 555056998; 555406152; 884538362; 123571657; 749630188; 800979894; 244587021; 83303463; 370619012; 619518176; 157275768; 11497896; 622720070; 671269785; 523282528; 804156335; 662596981; 194858145; 29610450; 476781315; 764794912; 854829465; 203694909; 815136602; 656488244; 90577211; 656491398; 601229421; 383190077; 62103533; 360943589; 538290737; 526682119; 670442866; 769246126; 227917602; 557877997; 274962456; 939530476; 872630531; 968579987; 266390249; 237029062; 407334818; 349939367; 369895639; 371741323; 824838518; 131948779; 285637578; 280763227; 354878016; 547578866; 689476647; 727212434; 824487586; 194384146; 98863431; 621469240; 926253645; 747369952; 212688618; 939484429; 120734020; 566618824; 614910812; 179381690; 171084273; 826779925; 942069745; 345361741; 280173662; 360116255; 697606655; 419345688; 537275267; 661058480; 47022952; 47462942; 509742274; 58329263; 773025156; 400566257; 745855834; 30907139; 506000243; 779257994; 246513674; 355884307; 166800364; 834782723; 396558241; 948565471; 577477205; 304789289; 11407914; 971190835; 381684561; 905575601; 909173908; 648280308; 485640651; 58122435; 384028336; 290523459; 696595799; 847206463; 214293134; 973786974; 25808633; 943138330; 689613278; 354657283; 918895405; 109585189; 492224537; 305621500; 844449536; 1981115; 810973767; 851395130; 719637352; 274906634; 877142623; 562281547; 167072742; 837587774; 444480348; 753273110; 494400930; 793335570; 495633575; 635973932; 177437975; 170486243; 255364801; 331484739; 465741292; 186863186; 171779898; 114244391; 725082975; 210555636; 743904882; 597860982; 253161427; 161114031; 634119906; 550759000; 836848822; 21689123; 369446673; 588286219; 55398026; 230573389; 731041143; 945731857; 220233530; 483267707; 967827554; 942676206; 98628368; 754374776; 114941647; 81140203; 416223918; 676441875; 675455920; 132599917; 426846667; 73361693; 185033784; 750489822; 39651952; 405973134; 465673550; 509036968; 818463127; 265241464; 917527218; 188951446; 504349793; 32883883; 848637096; 53285478; 547199763; 558653589; 128690823; 704496015; 622874009; 323620467; 564213773; 111470097; 589725659; 165858007; 502967771; 667204064; 571311880; 331891928; 18241935; 472560382; 172068734; 583812279; 794158111; 354478823; 257078024; 751880093; 593443902; 651965532; 75093005; 208425507; 156636638; 524092256; 183167082; 495736626; 794473942; 492658390; 166195496; 768407698; 768950583; 437172722; 35665201; 817233433; 80438376; 907797398; 749557771; 898026295; 683045057; 151519936; 827194715; 764204640; 217458895; 133776319; 144599035; 411921019; 704204086; 611453839; 374162114; 824891507; 164122143; 836589849; 605615611; 217859112; 902662874; 394831311; 637607254; 575169282; 800030381; 497002710; 650997486; 362524743; 747174634; 655357890; 305956891; 925098283; 523114204; 387867506; 889697959; 688435396; 165792841; 768286970; 389520063; 387448565; 118633801; 787226464; 650070003; 429046251; 163609428; 34668457; 45521116; 507464393; 393924576; 389093615; 372333314; 360527568; 965853717; 266071460; 660485360; 191997465; 916152290; 651805856; 598368600; 237711689; 38559696; 428570160; 974216749; 133675820; 6280369; 168162907; 569527871; 878645378; 156226192; 350193805; 331679186; 300322035; 482208536; 321889727; 24446613; 941566190; 908115494; 731258454; 161618923; 998974512; 326543059; 961746990; 74503316; 308675290; 469927472; 494480207; 936011220; 464596640; 624191746; 456928972; 739597217; 343796821; 478940258; 659655766; 596736287; 406440355; 807422328; 734603455; 973533709; 175194365; 6802303; 286586552; 448621027; 534532358; 96179426; 292135459; 407754378; 652593551; 631127561; 412208706; 408544449; 420583980; 583759519; 761581033; 319115566; 62674934; 279907075; 138681886; 421503296; 102404411; 295022457; 63742111; 187607382; 895411841; 680644612; 23632721; 540849616; 330412243; 150963154; 76280870; 501598607; 123651771; 952848533; 117513319; 97193703; 487513383; 386282671; 958151797; 289889111; 485698810; 104645018; 780481315; 38401948; 670669890; 639501121; 938114816; 219689111; 520213635; 262283309; 901302393; 145396696; 308235606; 724188792; 781008513; 719237187; 889455717; 591210483; 225588961; 27177056; 668694747; 815247160; 948883962; 580962229; 679734409; 469728341; 323015353; 221388750; 661419368; 389042475; 718632833; 77164446; 482039392; 337108227; 636911021; 182274850; 630942894; 140126897; 887542240; 472317092; 321141246; 814471726; 117989669; 54600151; 473343111; 700815318; 465520622; 20765598; 836280753; 216748760; 763550341; 127731477; 255967670; 259660875; 647270634; 477714936; 283381924; 52246746; 230281456; 984787639; 829501764; 972165415; 906448818; 969318173; 462507029; 92552300; 863123364; 765538974; 437440798; 756256034; 923776637; 32056350; 24811060; 886981298; 602058500; 264335022; 746931616; 411491479; 837213410; 820041357; 693066443; 611621254; 746392781; 855064473; 292305280; 388639735; 233304939; 966715940; 41113925; 403423047; 708150866; 568135508; 776887607; 374190086; 924389812; 714248582; 904221726; 152741436; 879016637; 864085822; 59878782; 339091149; 818546947; 988330764; 97271430; 441932814; 691402693; 225305253; 78986220; 316841370; 313930023; 141049949; 839597275; 244201107; 443706712; 96415466; 105961813; 840280439; 188656385; 211266547; 227850165; 924837827; 239145553; 526357369; 126252816; 374500394; 682798911; 493768817; 639718544; 106228260; 117340982; 649501511; 96618806; 162317011; 874923341; 549469094; 282734706; 815314049; 361274868; 512377781; 911884384; 131613660; 663684499; 419153345; 249152862; 322501649; 188572320; 498036905; 878038981; 593843880; 169870020; 616140121; 770874675; 100848267; 55104098; 329740501; 394034196; 572975122; 894579573; 998198764; 106549152; 227666644; 2836009; 765729681; 623818589; 927027639; 176660416; 513200766; 225882058; 857449297; 644087563; 881121435; 595379135; 507260066; 413532575; 716775216; 221341108; 36370262; 506327199; 415802787; 924595018; 654820986; 330125572; 262200142; 184486541; 510103948; 830605770; 134837001; 94269470; 478558788; 235182575; 60056264; 805417912; 88630908; 563426627; 218106157; 565231815; 419109602; 206642620; 918525837; 62112315; 422005459; 16639142; 312842017; 182910673; 76826371; 846928365; 356232375; 484898203; 337821222; 465872814; 944088378; 15087559; 128258020; 778049658; 284849438; 784457504; 46880140; 505785892; 746956277; 508179008; 447883665; 919324739; 608501290; 830995999; 485924863; 465375762; 482114104; 340130703; 17093569; 811399868; 70430942; 458342214; 210155644; 40316310; 329950439; 287198863; 534650769; 114407704; 130577434; 732230435; 499066347; 74131918; 550179784; 898442144; 764086520; 358950083; 766651477; 725557112; 473666552; 228164578; 436371007; 81359423; 530979699; 190238962; 447048702; 530559015; 560197666; 33071433; 728001303; 63608677; 93676469; 596005987; 848681828; 749544233; 717900358; 872554931; 856171127; 428183314; 303951902; 452565174; 107475052; 299238894; 645010815; 414789583; 773897863; 343830692; 376562730; 660394972; 486295161; 124868762; 669751826; 751470236; 634277053; 156396053; 498138641; 292729184; 573010447; 100913693; 369560033; 182003488; 511811917; 736236010; 437125361; 949374004; 490046333; 963246738; 259620333; 62521003; 774297932; 955152851; 349796873; 96644811; 684452761; 225123239; 495654107; 665507123; 644826919; 898484919; 221611021; 985274848; 131251482; 311112178; 70136389; 181540010; 734200283; 913073446; 464769328; 177172138; 5261052; 827149502; 474126408; 565820391; 219211892; 909448638; 241715063; 308749550; 14472089; 569050805; 343535526; 930181590; 833644264; 893491197; 271090975; 513530281; 940042284; 192547564; 402588308; 682207499; 41912788; 400557369; 256361116; 636869369; 23739839; 614110853; 604785610; 462690687; 74326839; 895282858; 887949286; 760621772; 334884756; 513525968; 156437406; 29951050; 397526164; 112040868; 833070821; 295693385; 132005261; 255298664; 92467741; 631210150; 759483409; 36629504; 898419620; 972486626; 191051388; 774826495; 913095695; 413846008; 616358602; 338284152; 166215278; 172269282; 212904639; 458350559; 545964413; 97697848; 755076026; 338637972; 49234415; 36442070; 329728118; 563346499; 532091694; 685054867; 604027800; 14829640; 182546154; 176340308; 5970052; 1529375; 962178547; 634141329; 465778999; 516715593; 853361205; 431091494; 501136499; 347458881; 572265056; 710173427; 45770766; 220881277; 676748598; 745303721; 558894565; 57210969; 643780362; 412898655; 478867975; 152215999; 569997057; 267873507; 249443369; 235410360; 428703886; 181261863; 241561832; 511995468; 68413166; 811839632; 303936858; 812875274; 654739770; 834689175; 951191218; 688404255; 204284885; 196593660; 64841274; 45386093; 673865389; 529302137; 220409501; 379534571; 813213470; 560408080; 547992729; 44453022; 331186382; 475814994; 64313694; 814578431; 514007812; 16672094; 802306469; 972459441; 1405550; 384064935; 595300303; 578709177; 434360356; 18570009; 492655091; 743778801; 676181087; 103725683; 480492340; 563294075; 617802667; 679123288; 785004296; 337531899; 780442449; 933421412; 266253070; 834571921; 532186986; 633963417; 893331951; 802755188; 596103921; 13785244; 4098596; 229324060; 345622909; 976191160; 204998233; 655690564; 255276044; 379248461; 397004064; 254245716; 184762418; 94922417; 992515947; 256114901; 422046468; 51468799; 52340223; 688582806; 687906851; 572036359; 819276210; 538339145; 553178285; 626307946; 732707498; 815952838; 687854363; 606507813; 748085220; 324390051; 167219874; 686451017; 15435942; 234405244; 259246610; 678499730; 689580899; 663503503; 353470968; 869455633; 690144856; 43720259; 957047650; 781346303; 489283000; 961001681; 768259120; 563994147; 298249992; 765666580; 586816110; 669859053; 164042926; 36223189; 366936781; 388461061; 385332579; 781593369; 872854379; 679735822; 309149234; 165421338; 118607777; 986229295; 548718956; 183337636; 437938332; 841444483; 110634513; 848880614; 308441849; 974393552; 874895908; 891697552; 534909088; 885995416; 230606857; 67928181; 969245224; 311475631; 88682426; 803392596; 628456979; 741452262; 666455945; 914324247; 126435115; 582512021; 519272548; 451281495; 445846504; 9340113; 857461169; 66787062; 759500984; 968040814; 142876765; 580470482; 423852676; 602328049; 139337477; 11517719; 703464644; 978035012; 146970103; 127319194; 936176880; 606045078; 242073569; 332581814; 948270084; 794393449; 421769255; 93068290; 935215521; 292073598; 321062439; 483426274; 780692179; 419041235; 64015594; 66295981; 676436652; 581821969; 960822588; 73672453; 579836988; 82330549; 516742276; 221577086; 425104969; 976741976; 236762320; 332853018; 545053451; 373746288; 717925409; 62024803; 100391442; 233542162; 130767988; 875196115; 665249421; 159270098; 626072642; 658319413; 751338394; 146901992; 207350173; 788318092; 101182383; 241154502; 971649735; 409785466; 698181415; 203642481; 812299850; 324022699; 962931526; 62539015; 688597261; 282811166; 663467257; 482006783; 187847878; 354765320; 134338525; 531267570; 877718625; 789444174; 744543442; 935859526; 904182496; 610004400; 515797688; 317200449; 591291342; 685184438; 118667186; 768625404; 219201766; 469258478; 403895575; 294611592; 876292847; 777345433; 379809622; 51052012; 292041340; 492392263; 767892361; 615218279; 999298346; 779972011; 900891841; 571241560; 307078275; 998736286; 642246553; 959601829; 320119988; 382511917; 662441686; 178480874; 247654954; 929544249; 344463283; 477424845; 451202124; 189567238; 400523867; 975841121; 392592330; 11305005; 792514394; 350777665; 221506667; 649603846; 903428383; 868488500; 992010851; 244213724; 522071303; 399331904; 752846266; 717446057; 784245358; 464632713; 713090267; 629901542; 5979383; 161049790; 707976485; 410108815; 555842951; 772616111; 220238375; 741365887; 799413046; 176572416; 851316727; 926962134; 223149574; 13540494; 378737186; 992998791; 590823221; 672504243; 761070300; 555175928; 500008875; 853134766; 866974787; 405924346; 540839602; 285927771; 824890779; 431436321; 484183082; 443026111; 896769395; 38004515; 665761414; 610806104; 873335971; 436742526; 797176470; 247162340; 143293563; 352355954; 590806481; 637428822; 706361473; 406562930; 888393574; 711896362; 57238668; 215002429; 866296990; 804173396; 144375390; 211537060; 534865171; 137994320; 177022526; 273808417; 552052594; 345234863; 33078003; 748187637; 603670321; 107893423; 904905425; 425626013; 501838856; 546161906; 734164157; 529104215; 792152139; 355093769; 761995153; 140357303; 83384383; 514916641; 174771544; 21125058; 624900121; 266162051; 605272175; 653629142; 681851646; 568736596; 132540582; 767448160; 799996207; 135942914; 655733352; 366303819; 793280790; 611307483; 916268811; 178812712; 840116499; 338407692; 682996055; 894778566; 167853599; 731381734; 916442293; 546891301; 667358817; 219974891; 505135635; 426043596; 810986119; 655034577; 257103093; 661292476; 185861926; 307767284; 153894013; 506821987; 508980076; 66632587; 571228972; 660551259; 246533494; 19579730; 576449067; 554374940; 153977045; 628969390; 226017798; 246351962; 388977965; 53900891; 354115890; 498658072; 756071954; 850359907; 93994583; 436697835; 720723736; 515721514; 613434902; 106865457; 505947037; 638403860; 808295164; 729253157; 880018396; 81162229; 711371909; 938192712; 945251039; 859134601; 261770885; 709373395; 553953846; 345946735; 272986839; 225462337; 595387169; 98283278; 462863000; 164134955; 227957351; 557935994; 367290060; 234615338; 383629127; 400474607; 423925389; 842745965; 32078394; 24310237; 634158729; 89400319; 591082560; 903585444; 776117466; 109950290; 684585224; 364465125; 804623536; 412109860; 711942302; 18311294; 245897873; 453014637; 55152324; 865389273; 149518297; 377974439; 833211359; 333945366; 769963559; 75356638; 645490890; 681127287; 391679875; 390282160; 371660941; 257553030; 52615770; 798331209; 887546323; 836556725; 152532505; 873006083; 126803876; 835365876; 109134314; 242953122; 129750628; 761392837; 779969953; 153392061; 476714365; 507910267; 764927499; 633279638; 669276538; 609436605; 725832898; 598418539; 370711033; 696251734; 232928331; 630167100; 257926743; 197299157; 101098435; 11895779; 389301816; 801476641; 70887541; 852310241; 309380863; 225539641; 679665913; 461241915; 553035879; 639447514; 200877404; 517417934; 164014871; 744383796; 54007431; 224962933; 738387277; 722292966; 156298937; 249747051; 984485339; 295141878; 901871191; 640921448; 942569742; 815469543; 656219174; 900546188; 632180714; 369072909; 162001296; 20760452; 564674219; 835753474; 10856907; 887290682; 43029118; 923480493; 860275255; 87039872; 776583885; 797943828; 720684466; 958498647; 984037133; 477909959; 321340543; 891179127; 220707342; 89717912; 383691709; 946552488; 69462298; 550589688; 799931487; 469893510; 268830432; 894299794; 305961871; 981052648; 572534218; 181346385; 105499890; 250194; 872667217; 956700602; 315409740; 802200404; 752690264; 121410575; 334993662; 196414735; 832492768; 10430822; 867400784; 356046982; 960588787; 359461879; 271850193; 979439225; 31497354; 866349260; 833557393; 658854508; 706833655; 708388751; 248058960; 142610128; 930394695; 799924094; 835865530; 229237829; 701905081; 412365567; 707752529; 357127092; 810034856; 846761987; 656934889; 783737450; 211880334; 569314146; 836198760; 741944298; 259229372; 840911744; 472239924; 788209950; 423830439; 489493141; 197526530; 115721397; 633897245; 768787423; 94659410; 281777707; 568557542; 719512776; 961443319; 971386178; 73647506; 47079709; 102893908; 384097448; 332681764; 36731856; 392588047; 764509957; 988628050; 690175947; 664984852; 985672183; 883168283; 531806955; 493968347; 877150840; 209032568; 271336061; 454810027; 475272578; 832406769; 62139852; 615806882; 212908758; 760462569; 288876513; 89154227; 730533561; 79779648; 603794215; 913442975; 44766524; 373544249; 531817658; 528441954; 486228888; 556657020; 269613074; 193296809; 764389271; 635160535; 190641955; 377186741; 108495269; 513151972; 589046392; 8602755; 50594510; 176129120; 873052628; 811199530; 647077247; 173554404; 53112316; 956513949; 478752432; 20470136; 125904903; 158014537; 716075221; 235589274; 482410508; 866212216; 790702026; 82815604; 77029717; 913465628; 222536605; 85054611; 306337598; 993575545; 977995019; 481851437; 920812533; 868626338; 782528655; 160180081; 18077935; 461059224; 560186127; 850018463; 424182941; 654163302; 222488716; 10256981; 847556410; 403050898; 508968671; 746240266; 333294953; 262243502; 118428282; 21564048; 15181469; 811054867; 992703648; 91839244; 147793301; 87850505; 500497479; 229523453; 870672814; 657004922; 217029909; 969353578; 116920950; 620054016; 842810726; 500984010; 677489002; 679168369; 41564173; 315250962; 868043614; 204039227; 565683346; 831533692; 806000751; 326332420; 391191059; 305020645; 941826191; 17186278; 824892410; 134307296; 788432171; 291957981; 878976367; 172348229; 213818755; 703021027; 303508303; 555336737; 358800521; 184889011; 830421811; 659712179; 306044163; 248837509; 457761546; 611085549; 267850848; 632506504; 296497750; 836215576; 189855820; 140032771; 146409046; 411628952; 749274722; 386590667; 459005739; 645936650; 401483197; 485950202; 516442988; 768244910; 961052450; 692361752; 793501724; 330883650; 143138272; 252531601; 512221284; 999049882; 315272965; 311766223; 417656279; 360721642; 714067250; 510577557; 10837148; 563844378; 347380557; 936695487; 696974712; 300025871; 81438137; 443964501; 510470680; 988913231; 404580211; 659377072; 694064696; 989397113; 662322212; 941588695; 89194804; 453469784; 920489560; 305552781; 741781491; 68173110; 362242289; 156518930; 316399963; 301533072; 126304930; 830853669; 961339731; 635118737; 675024543; 62491937; 799161690; 729766092; 560468978; 798423685; 702084912; 507047615; 951047110; 106712354; 426041823; 626350523; 582533119; 898470229; 752921218; 945176809; 629906760; 398341733; 456065360; 903773315; 987252827; 915091595; 263008477; 355972536; 977503906; 982438077; 74890398; 491482432; 42528573; 727628212; 514691220; 258058808; 540751102; 180193999; 889888881; 570583758; 418461411; 724001852; 559951606; 764716344; 998592253; 675745745; 441215420; 98157543; 896273590; 973382377; 778867677; 945485768; 582834337; 67171212; 331328640; 944809020; 482413825; 214790203; 514397300; 159079388; 830102444; 589394925; 124173729; 775617282; 970606297; 132275341; 991229881; 62712924; 107616951; 681252251; 904448150; 428671037; 651794328; 189459514; 605123256; 445978191; 22441708; 176819952; 413159888; 134087111; 855664427; 695622054; 330995284; 285858328; 686630429; 594779598; 622233660; 611350147; 718272547; 114704604; 927518455; 857911838; 603121300; 404478076; 625916027; 462289930; 997011482; 741125465; 730947637; 169307885; 655708396; 711616632; 735386893; 658579149; 569288636; 477798521; 681322620; 5804326; 995985714; 393474749; 853792403; 603601887; 78699766; 852329616; 24118142; 423357650; 385227354; 858799805; 690901980; 607122000; 149343097; 411395371; 394632816; 340423309; 733513440; 544661042; 87555993; 329665262; 59354086; 922980016; 557638742; 914737796; 620348434; 896429734; 547228135; 834738687; 660734821; 137167733; 830240000; 511622912; 807254286; 970536620; 641764585; 794529024; 192210347; 121389060; 497099197; 99361069; 227586650; 610153541; 866567829; 443762790; 95507701; 506147194; 654789716; 991266106; 571491373; 872338392; 768088112; 874278444; 971201339; 718587376; 348082345; 566757563; 443335132; 776132422; 778122976; 985347431; 190390745; 38541135; 674262698; 785024726; 27716429; 803143706; 433979900; 64636589; 238339954; 53235219; 210466020; 158379120; 875308463; 367740048; 372293868; 753720663; 399499405; 667224273; 971410951; 342962787; 933527037; 476132832; 125948861; 536317697; 48137010; 466080253; 197824550; 245035368; 341261197; 543233450; 55811546; 726681132; 964224160; 201779490; 893369030; 541353218; 725169368; 541133225; 159165321; 133885138; 698453426; 629988985; 551982076; 517004587; 254234687; 27790039; 383908732; 123069613; 131850383; 434176995; 531244357; 484850168; 498131765; 138598196; 113482497; 778416353; 94721209; 451190893; 159977821; 679427274; 995045116; 958321411; 434125642; 839961475; 478284216; 400450716; 246398862; 318671510; 642812879; 296582343; 950765967; 343118991; 91617403; 34576811; 923387482; 104329739; 39591161; 939073127; 63331887; 369188738; 20937291; 738295824; 257668192; 212518459; 215489932; 837601823; 67748386; 791453284; 486952502; 715655198; 228463830; 468638996; 872824691; 843251702; 538860972; 458216988; 920442338; 388365947; 10710475; 790052207; 22685895; 48412841; 35769442; 840260647; 169985529; 774933836; 423843688; 794733691; 618923052; 91571890; 878459848; 757822313; 322226255; 39230241; 511287672; 658309944; 548350442; 921103811; 520057964; 954295128; 169154439; 895254070; 137947369; 856039908; 610063352; 419194340; 191295383; 671742276; 890759003; 31053884; 540093289; 288155521; 446998247; 22620470; 351238993; 359958736; 690081398; 790214115; 305016075; 755215457; 12413933; 750311770; 939459555; 356723874; 810124083; 132591586; 698691709; 830210807; 598819465; 816740495; 298199236; 830979661; 581507527; 391735400; 127304331; 75969691; 425515929; 342000804; 837441500; 332714662; 487720495; 24021979; 271855128; 78172424; 797867928; 522686773; 899805025; 661130702; 104571001; 419588984; 402903791; 58225627; 945046951; 101827033; 76568176; 655312802; 339041752; 671884788; 937845125; 931238443; 78333452; 447946157; 53761225; 423078245; 739714513; 777798790; 750441296; 490786544; 250031627; 799261251; 695794988; 184906180; 500915905; 508933387; 680351870; 381061039; 439598959; 818993431; 74136503; 564349790; 296262842; 753937425; 690659817; 323597246; 796627366; 916447180; 528099324; 241346275; 492671062; 776968066; 599434574; 561767688; 959305266; 820244174; 896178473; 186492272; 434097897; 610770889; 282407166; 56902412; 118539099; 978003618; 659781461; 814234193; 711073211; 61894401; 846772277; 712450100; 485559319; 78523152; 420006520; 326529767; 374181464; 276626240; 681159684; 666046977; 849747130; 616598512; 333301045; 308968164; 37964435; 232947768; 221194741; 546430939; 954285163; 858869600; 686407358; 84622181; 344901455; 713907413; 389337144; 170607235; 621009310; 276654532; 175147120; 967940140; 249695378; 664559704; 736332312; 595607931; 697693134; 139094083; 307850955; 514541928; 383319958; 512110189; 258201574; 180723426; 91283469; 776554823; 184461148; 152517742; 980754664; 814319114; 662960156; 135636750; 253349385; 914580536; 724260895; 847118082; 893455798; 272683104; 795679817; 77221982; 442434877; 904692654; 632170992; 390703469; 204548856; 114993422; 691713169; 970452573; 873381791; 731143822; 922390374; 266599055; 838091957; 411062003; 604946661; 395202229; 236354630; 387045968; 780577325; 895974026; 987945395; 836125888; 391008272; 844164664; 195174595; 393744887; 136945234; 54058178; 685479689; 635656129; 588076011; 252630357; 680260544; 942668653; 576110681; 777784089; 400781048; 245151032; 599232983; 84605484; 376887935; 121879419; 548715822; 345814081; 945644841; 485115293; 733881951; 752498760; 123389173; 232798848; 606373153; 113144452; 825117190; 567523029; 828576190; 813279580; 647146307; 739524209; 757189893; 397229670; 977069384; 950657485; 351320591; 130511889; 969949796; 738285013; 942037191; 875674110; 990920465; 178910903; 150396007; 746898792; 356619246; 604170936; 742016544; 659500443; 358723473; 918281950; 896686420; 486006974; 293226973; 885358870; 103912401; 678932909; 770540150; 752128377; 675427074; 218740804; 204676430; 878227929; 995476366; 365592894; 199139734; 457604265; 76667367; 819385630; 636752133; 878506038; 737924420; 505560433; 116616396; 886626226; 313100396; 738912311; 184483883; 468340890; 175883540; 794292570; 121003624; 245504150; 409232597; 40486441; 840794260; 692448813; 511791252; 37874766; 514797059; 98359065; 636704286; 245313215; 908413906; 72225890; 198323405; 39130633; 452962301; 884138289; 249682604; 159919409; 216258396; 910688073; 469365220; 165186311; 788377882; 104248960; 474582802; 533077530; 349328721; 857262789; 364013446; 524293651; 812231331; 524801617; 136305717; 17262271; 833773371; 721741197; 796148446; 602845184; 536649611; 291707711; 930904869; 70381828; 470314283; 73741257; 105529821; 349537322; 41064579; 468986213; 13763716; 599047005; 76558911; 703427325; 975542232; 428966361; 65060644; 487485419; 843671971; 883628755; 638431181; 137595656; 767726132; 805244547; 626040445; 277370339; 565040317; 513850686; 261838657; 831264510; 96673899; 740814444; 632617390; 86038280; 835594485; 864228041; 213421548; 479094851; 291672568; 324190766; 322607217; 756529342; 840013612; 222968851; 954419095; 44175791; 777372623; 958988742; 160111145; 918780081; 509692894; 688206109; 899516405; 639400611; 659253409; 462586043; 728862471; 913486396; 909533112; 491905235; 530233669; 227911147; 698079473; 642851035; 78270570; 962022206; 596634037; 561163032; 260374947; 562540462; 985603099; 953968456; 847792980; 70625987; 791302155; 125568504; 301636553; 369625600; 10425614; 275779033; 762998874; 628768729; 930645909; 220475640; 306891181; 55253351; 973129249; 792543879; 439238002; 811524680; 507059579; 113022388; 725015106; 236371790; 772239300; 673758906; 251968381; 413749943; 409805687; 807267484; 460352962; 722778854; 223214669; 728823763; 615193826; 846639355; 946990330; 480619851; 81363707; 552242031; 107563147; 109057790; 993388625; 115610893; 624487351; 176474746; 815921015; 594808797; 114786312; 80144548; 951299457; 690934479; 958376920; 389759589; 999375660; 525894305; 723379227; 384112854; 415911529; 416451835; 136281654; 481276140; 733234650; 940359425; 862549002; 492155145; 590675586; 589368728; 748097317; 160851843; 732048379; 498063564; 964202493; 77999382; 854189027; 676813302; 562742030; 280188245; 888862876; 495100362; 261987036; 779813355; 264210001; 835294108; 197780764; 698252090; 817678929; 618917446; 564406902; 794777063; 385755569; 383039558; 273381028; 922152621; 268937618; 459910870; 238659074; 854781572; 327930904; 571238748; 103176967; 541115587; 508063707; 753635986; 540015383; 765165746; 505325940; 284579730; 305201001; 526308963; 297748097; 835265863; 637660592; 726792545; 491267142; 724531727; 479701701; 588358525; 504698732; 970020241; 772359792; 253570033; 37174916; 989968559; 678073022; 175782714; 348784243; 624914929; 813559065; 985301021; 489417008; 513227093; 46490565; 481289013; 731593200; 369824927; 858469495; 386360515; 384591650; 937733599; 279436260; 777763556; 925588680; 578157666; 926875682; 816877368; 830767316; 454967698; 699084137; 674783843; 54297999; 516129544; 836647065; 531295315; 546573346; 581317790; 853546781; 233455533; 604996028; 121109988; 721547583; 406080100; 706575243; 104596024; 907727441; 43392153; 300571075; 996728702; 852935969; 153658428; 6020672; 964941858; 25330383; 7866633; 344604267; 605213275; 178962401; 658212918; 271350544; 796897681; 429494524; 857864275; 974011975; 847872830; 775452450; 917225963; 109704557; 759506073; 831268874; 709883312; 38156034; 426348921; 869451254; 516442066; 76822665; 561177932; 864126808; 329882082; 271915229; 780381076; 771990193; 344153953; 850304097; 73052788; 15645850; 591022595; 703279888; 900736001; 126744175; 378365229; 604124390; 27487247; 874166292; 400173912; 511972980; 232217527; 495900806; 444196777; 759297535; 427204918; 444059020; 346903239; 3706344; 341040705; 539999428; 79185860; 71402853; 983851198; 600741494; 967706226; 129618235; 583187251; 843982144; 402034026; 736106487; 917181610; 661340524; 494527078; 233587837; 714831415; 723927379; 970173533; 88679741; 367899452; 40291140; 365954133; 121937660; 927210387; 531463348; 856873794; 535483815; 995502624; 820475571; 8993749; 620387526; 340660275; 456994156; 917527818; 574901170; 642880421; 114578242; 562881026; 501926433; 433018142; 655642449; 697780052; 664541924; 917355694; 299157800; 438645775; 958636280; 481877609; 700794867; 373887882; 730375075; 877371935; 936361566; 850279352; 524208145; 530669607; 757143840; 32109574; 521158400; 184831432; 899240264; 978932422; 189977470; 378080502; 447654; 522229206; 667148648; 901379921; 818699043; 521353419; 579170895; 305833511; 714568984; 656859123; 269665733; 566510367; 779431071; 320743651; 735483746; 775246984; 367781555; 843564786; 795043394; 285100527; 36246539; 207672564; 792862831; 337773666; 555698000; 341951371; 211106043; 971891172; 813144345; 786892549; 642215271; 56275173; 25338503; 729116423; 522676185; 795104372; 250174828; 858523887; 402032232; 649223526; 492611022; 476678411; 270291390; 15693461; 672482803; 414314904; 113593155; 16115990; 622735087; 798727072; 861355370; 490952186; 8413949; 398544633; 628323359; 512039870; 552574363; 550662316; 208591101; 36753241; 848315029; 585663894; 468917252; 264968041; 704560704; 444299723; 546141831; 335277318; 640659626; 752836734; 563139250; 469444984; 71087694; 684798095; 893464596; 576942019; 203924055; 820987409; 382415822; 679626818; 123985216; 88842557; 984175499; 414240522; 732967526; 774299612; 64232060; 406174935; 640098922; 240871602; 447066864; 702859506; 117374246; 627585030; 374732317; 963760316; 939466614; 544495906; 942340731; 613896666; 672115868; 293949932; 109168853; 228950000; 770564756; 507479639; 288009478; 368366821; 471066995; 742716230; 961648285; 739340962; 318705611; 51574483; 656497976; 703326415; 108218364; 194387320; 515963350; 448983811; 873569309; 646329706; 69593243; 920851821; 787677764; 913395298; 152130889; 821603723; 244041570; 121231151; 188478095; 868235379; 375543426; 592133057; 372714463; 400824957; 57714193; 751268044; 99332294; 639686713; 422560312; 290959192; 803486254; 120660798; 531198814; 468750334; 32314678; 998140098; 347475324; 96834955; 1355991; 606514038; 124294382; 709629342; 774777764; 939828501; 297803189; 929638475; 906243058; 282594119; 350183550; 444309239; 628139669; 135459612; 377382812; 961033459; 961147012; 218225179; 753858026; 47005387; 119268526; 84187319; 149147072; 889766736; 439108087; 840341551; 200212946; 836886434; 162179730; 260584946; 610323917; 508423210; 244615926; 357414516; 492326865; 161181687; 656183108; 288716694; 168351909; 770528902; 340418744; 117013911; 89074442; 807487104; 312441700; 186127758; 881409039; 289270704; 562759620; 157910656; 648771508; 217531951; 247706235; 510437717; 129763352; 950643033; 393563050; 337508032; 184660720; 875604818; 37905675; 210586726; 894292444; 350572261; 296073379; 688821974; 712063269; 10707447; 462546220; 772016108; 672672538; 804848961; 626378254; 56430630; 472284107; 580146152; 647229450; 256993129; 421621665; 671633012; 357073952; 964560756; 550883350; 444993969; 726248018; 427488178; 37555316; 147931183; 328863065; 855233192; 333584136; 259139624; 984720745; 541092362; 883128670; 176712093; 423342239; 771745231; 952348026; 582606195; 979451475; 670799243; 898649324; 848616293; 517365451; 58951977; 80909402; 192456033; 692871465; 310615392; 362082929; 768489982; 508684398; 151130194; 179103852; 984094223; 416665955; 3197287; 918505550; 470774392; 643055155; 961563237; 979616074; 183428144; 420670013; 996860754; 926047222; 77749779; 725228770; 163571365; 679153547; 541163985; 602977917; 398706665; 85734279; 480544008; 810751466; 45349027; 850717862; 278169551; 869270176; 51115166; 476095885; 382361110; 837251245; 957497082; 768993455; 184202269; 859950077; 509661320; 971405485; 236407553; 717640283; 853550856; 793401649; 632972843; 909682658; 862226290; 959357316; 204436647; 713995378; 536736742; 952991548; 680334804; 22851052; 19145618; 678117439; 307482116; 153205811; 766718687; 964924565; 461596038; 481898140; 807796086; 990743908; 309385038; 727862002; 690606822; 950315718; 939868946; 63072112; 373508041; 861087344; 283231653; 449783268; 826878613; 433561003; 745114644; 70792788; 941063268; 356245450; 597886681; 204204780; 577502657; 544004511; 739441349; 98430762; 109752920; 208720855; 751485650; 914816975; 202411389; 266740231; 889015861; 987968259; 793166087; 78291027; 436159791; 332827393; 945512881; 65873306; 215284504; 57062284; 926085448; 760926427; 826577551; 772216329; 505294290; 473704696; 473151561; 147413381; 73369974; 949287387; 373881244; 612176119; 555728566; 927731917; 891271868; 787874652; 811073755; 838624392; 827101728; 509631850; 783542116; 341999480; 331539832; 363976023; 11996466; 512118695; 754620592; 842433211; 723049155; 856901404; 467782503; 897382377; 871467267; 676835195; 779592808; 986030577; 950229067; 98856627; 39375374; 159381073; 804862932; 390091585; 313225029; 727030804; 237476435; 453155171; 54426713; 492816759; 297170383; 537963635; 352520704; 54148086; 219346969; 354260240; 231351122; 249185216; 698105901; 598186034; 882011708; 432936549; 51836104; 568586834; 126105841; 643224403; 840261875; 327780360; 758291799; 375032871; 597336859; 113493458; 566912634; 337555697; 527783271; 10041133; 265710726; 35698635; 610896758; 388514613; 981708100; 53607401; 459547942; 785979286; 623660961; 46231950; 126242943; 608356225; 763083892; 258566332; 608102914; 671356779; 1397073; 44191096; 142254083; 866826771; 374252863; 16311417; 245930015; 581904393; 35558652; 121691544; 299716204; 814414923; 187124662; 288638620; 768488458; 428907855; 620995281; 744470338; 922079879; 186815401; 452622815; 38418783; 790229019; 706586689; 774431088; 2069856; 989006064; 450477107; 851108427; 255326152; 694294806; 401630562; 463616380; 398575521; 703756461; 179716294; 505088941; 424974143; 981095788; 740110498; 524447931; 102550570; 132739284; 658235109; 504478075; 95818748; 722157035; 106449379; 208006394; 242222035; 381660331; 652366567; 347344272; 761002608; 171867326; 690343006; 936520495; 477014191; 68009875; 93501928; 675051693; 268276315; 672046771; 916233613; 128932755; 467200544; 472422948; 564987816; 102387602; 227526395; 246452909; 151828591; 606312585; 307058761; 557411488; 370424569; 89032340; 506960839; 276131785; 848436679; 698668327; 961654345; 991721365; 132064428; 378328657; 683910826; 144557409; 618959648; 71813783; 399218924; 212678075; 886061735; 2865853; 766195974; 617495153; 697270645; 155607141; 228414512; 405718991; 104985402; 909071179; 719606221; 59130199; 759881300; 819173588; 93768081; 179763928; 604625699; 200324591; 602849796; 134118583; 810082477; 172906198; 217610567; 755400621; 833493826; 127980123; 658450854; 533645031; 811217479; 677904482; 222588886; 994369236; 843399486; 682037897; 578574720; 12013653; 204027465; 335097035; 315111732; 327393925; 680248885; 684764707; 835874158; 267406330; 900481942; 235399952; 622706490; 67379273; 963645507; 152676412; 198743202; 788596366; 406237611; 398350904; 949576582; 339671528; 598893206; 354394093; 264843762; 495498317; 527089257; 350701406; 406388206; 927787491; 560024453; 351971093; 828163658; 431925229; 619757138; 478880167; 984592905; 349558988; 829534587; 528434776; 892058663; 713357141; 9248783; 664665037; 276164259; 169251560; 348585926; 593578992; 903340803; 795678795; 221497027; 502817542; 35618342; 400979603; 731499642; 979800271; 407196332; 564669933; 558074686; 395019049; 721535665; 282429539; 488573943; 933250501; 330225075; 253714937; 220211138; 786525006; 549734019; 436704871; 870829055; 427930525; 16053851; 381249136; 643992099; 718942760; 989322368; 811637293; 415185126; 610698231; 888423265; 969287506; 438838916; 138366119; 541166038; 725740666; 377786643; 999629503; 928821251; 717858768; 724920075; 534206307; 403189912; 25814084; 163157447; 995852111; 456392162; 329619306; 146068402; 774622685; 701958401; 334776578; 103309811; 859077450; 714206041; 261603469; 928108725; 233161654; 721712205; 418691156; 337794258; 33350305; 32783709; 478671630; 703418069; 483633424; 208876915; 8253054; 69344720; 267629391; 233035771; 900936142; 401854283; 898207822; 938679267; 171548771; 520574583; 680414306; 661398315; 671060407; 540265907; 375392893; 949280303; 170503459; 973796604; 394443654; 723412337; 621965119; 445066719; 739992977; 615769781; 628803367; 103976854; 732059094; 53872183; 653308759; 870478476; 759168560; 488233659; 695874565; 214916468; 412998035; 54685521; 767262040; 985575391; 828526876; 644118554; 332975218; 595312810; 186973604; 723321804; 428754024; 685089186; 564145918; 683210362; 499556515; 985674106; 478200070; 810247136; 743043645; 222372063; 577944618; 204891389; 984715786; 181978068; 107580593; 85864710; 898820447; 43260270; 670238221; 523819029; 935258583; 203004434; 209822519; 569184245; 124547344; 512467178; 612585270; 20558147; 787665538; 791659683; 556592210; 175416882; 726236651; 141701563; 93505999; 147888385; 667890873; 583212894; 190991870; 479980260; 22535723; 391387840; 787298780; 93058124; 936101750; 72668451; 785386012; 863717228; 253671867; 897394463; 659190734; 443333954; 990431285; 551591929; 403586515; 928965751; 589375983; 856589090; 157775197; 133642436; 25570232; 84428508; 950526822; 96988529; 328323095; 185367719; 706542042; 899842850; 636769822; 595295984; 940233645; 912091359; 781780697; 548878355; 320442790; 903909822; 744817791; 82712857; 311292230; 528478722; 851195908; 88996398; 594975340; 128749510; 630439515; 968357652; 362584692; 67868513; 271687586; 982282774; 342213665; 293425061; 753340052; 781288379; 862326112; 32287425; 810465226; 416192521; 356568718; 331897101; 62073572; 871994250; 976281386; 875031394; 885045984; 891552481; 769781381; 234451312; 250316431; 180768713; 787968012; 594817040; 270355675; 818937229; 498224599; 548928140; 427747260; 455196161; 748358340; 989509379; 170256002; 430399540; 931039665; 424937285; 534925473; 182359323; 804800300; 556090902; 978574296; 307760437; 128743253; 19546286; 372591902; 56476460; 378807165; 418131012; 1975259; 74266083; 366893828; 806572141; 898914921; 435551793; 447745191; 637469510; 608667604; 859775638; 780048638; 840703647; 96076104; 805801425; 132911822; 488434004; 888419383; 281461303; 741352674; 86883512; 179436460; 46739856; 449486812; 295611204; 373376670; 304706096; 621317838; 246601956; 782971335; 449932427; 602735723; 311972605; 678783495; 700605458; 659477371; 834391526; 18601016; 586362587; 490901537; 344509051; 465330652; 822594525; 97787032; 518638460; 180567077; 492342946; 681502684; 643288678; 839995143; 176684776; 774700403; 717789181; 219892753; 13451939; 622769565; 214378849; 959834404; 629321624; 685871848; 270452748; 564631983; 197332506; 899040303; 936217383; 219078467; 799154720; 88904390; 287259286; 724011468; 623998029; 838375649; 588760377; 45305176; 552776349; 761997798; 55251434; 370982493; 898693169; 875922357; 63984151; 95311674; 158500231; 88260203; 679039867; 588203913; 280985864; 81170408; 972732838; 569329138; 842422945; 964144042; 363884329; 442476882; 368325060; 849410477; 537395044; 42361596; 595752614; 386799936; 861032400; 519226592; 903921042; 941903541; 135654896; 13797163; 840139671; 855123775; 74421517; 85370095; 768702473; 999196352; 632409162; 456928651; 436943563; 536125058; 546473689; 27950220; 930611099; 376511084; 47344533; 391484562; 767764361; 158027473; 97344415; 913776575; 540078356; 425024917; 268116720; 383946210; 537071657; 960942985; 507482066; 162694725; 424479755; 780117668; 304404971; 596834114; 236152774; 390399303; 886920705; 819108898; 952953584; 637321964; 81231003; 908684549; 654429049; 222808824; 277516384; 360020886; 835492480; 542845951; 603571519; 757607617; 407803519; 711632309; 57237206; 464905454; 895667046; 50129213; 442237421; 986386359; 130602164; 454051425; 773866938; 793084241; 803832603; 491968114; 866966614; 250499328; 794209961; 626075246; 101205818; 246357195; 662030951; 82010131; 241383109; 382198310; 259458039; 915082633; 48449379; 258497781; 70924140; 490670183; 567025680; 140902695; 214370801; 52701903; 785270407; 212566968; 903054791; 557618184; 322043053; 521113507; 393021503; 223842012; 828266814; 19073475; 986148657; 189896; 852137807; 237369761; 540867931; 493461115; 830710061; 371944433; 157096; 822696117; 926792831; 790552149; 149542742; 875475311; 263341162; 498567280; 865771817; 24426181; 298509079; 808869834; 60115568; 421693840; 443106293; 697913829; 681516370; 72028738; 936920298; 580795652; 145193033; 536126271; 340120488; 641962635; 273390515; 818178222; 510376730; 621271252; 178700516; 511604306; 767984464; 232563748; 79360784; 551516419; 660450387; 732246157; 323532631; 57972064; 881156697; 811348802; 41610134; 496502972; 622635559; 552281061; 734722058; 906618907; 281873751; 167399539; 775040853; 424515249; 825651876; 387902414; 390643739; 178000583; 988311404; 286655957; 907679819; 889296929; 433097819; 186677888; 395362472; 202990718; 450677767; 466487998; 37563874; 222743976; 700041750; 395380169; 226730616; 349241250; 548353668; 906907064; 874858547; 273183590; 797519621; 710421006; 110305504; 879227816; 505676552; 430588341; 479981994; 407018250; 37158322; 898679763; 942668050; 451810890; 511803525; 243131301; 972617195; 380871258; 149724080; 730113767; 223250783; 377018910; 271593149; 30632044; 18737223; 721131972; 190646947; 906341616; 256470953; 555225760; 69210624; 20546185; 705457561; 870946224; 695044231; 75740133; 293277839; 548073334; 610948149; 454581225; 313542709; 596797497; 655644050; 711059264; 595940252; 55838734; 39068253; 985403689; 926243481; 889556477; 131371845; 431477747; 441250707; 650754096; 233464077; 357225275; 115575861; 485408887; 963342752; 887874952; 43276035; 37390807; 542295634; 630093221; 404363740; 202309720; 127617483; 508871205; 449013208; 479992365; 804967991; 407398113; 299535925; 366254929; 453815648; 313676804; 728230043; 825584643; 716636324; 821827781; 945839036; 66685331; 893280498; 358831257; 402324804; 350438085; 426811002; 238818649; 25087526; 186407362; 931153878; 691307129; 288532815; 976321592; 62431988; 312790221; 794085718; 77162742; 877485907; 436135753; 62927067; 773204109; 271403128; 778502611; 635084361; 509625953; 817339061; 513811268; 429634492; 846645891; 852697777; 215171906; 724880841; 956919279; 911273573; 549131361; 152048388; 429869467; 396017593; 851184803; 74572545; 768051318; 213400658; 99603573; 105343804; 190686520; 392185027; 522664017; 694120303; 209527911; 56675523; 444316040; 421651776; 395963385; 217347075; 44466288; 357871492; 489889351; 802920669; 649770023; 753739643; 859978225; 963409793; 429888298; 929571323; 470971619; 77745345; 426748370; 465020468; 332979674; 928220097; 958216976; 140939215; 97953022; 964696223; 141742684; 186289647; 658221883; 743049830; 429540660; 190093878; 323126355; 966801305; 521050710; 114677373; 601526094; 389507121; 885475379; 723904403; 318678456; 451276075; 429671970; 822529231; 103978968; 726439384; 25641118; 340592854; 730764981; 799798571; 420460023; 625664709; 558214991; 15631605; 336516352; 861268312; 455274745; 209034241; 971331903; 774974557; 966352428; 216278807; 568372964; 4569074; 146293084; 870601162; 26488570; 631552141; 475812731; 539529561; 421429405; 4085915; 115785344; 434786155; 787127920; 531612351; 145761904; 635394026; 542695510; 685791596; 400409757; 95598981; 620987461; 109737118; 782904117; 778061290; 187891702; 898535816; 852828980; 951849420; 383518035; 218442078; 698118555; 936670962; 438514166; 66122021; 361703311; 901427499; 301374907; 36870310; 524381545; 613442444; 273133321; 797574704; 130399509; 678199395; 620938578; 244314952; 442263189; 233744104; 661134990; 567701746; 52987426; 76320970; 528256173; 712897589; 996996707; 616682992; 361454069; 827876724; 271154061; 545750337; 867888301; 839348783; 335601096; 335855314; 731990300; 866615154; 671714353; 643745593; 663922261; 952182175; 820776176; 152327301; 220619567; 986342041; 902617828; 433696951; 791976096; 306493266; 398684713; 224889980; 557181767; 154964988; 964249440; 894263612; 771386961; 947657092; 896633415; 624113664; 776666912; 417002763; 822867570; 149912584; 923107944; 666877107; 419257748; 343808078; 890427121; 346737030; 387331302; 547738850; 617546179; 960355266; 323726074; 973348960; 914470856; 866866224; 197156719; 797468348; 3267625; 989009795; 676956016; 834391531; 784750313; 880272968; 896889303; 830233481; 312381255; 457981414; 416013086; 195418406; 481022794; 207621588; 948305360; 471476670; 596569751; 474149764; 625188397; 81569052; 204058906; 102913203; 523005083; 99850534; 887007649; 477325732; 366729538; 840650275; 422894148; 465628435; 48262607; 174151921; 328389529; 166418086; 93467312; 516314761; 303535388; 949576958; 699467047; 997393033; 664969059; 86020279; 644127831; 703951918; 745376176; 878340881; 695942934; 649286400; 890759179; 981187135; 180114670; 790882294; 931942407; 830764316; 880340001; 915748914; 854165826; 317736121; 537023024; 130450130; 908434251; 7172493; 899790325; 68355339; 374052090; 144214997; 512034747; 103225200; 194124971; 846739948; 960116612; 296730949; 60842416; 678976229; 671845545; 992328304; 496572428; 647666162; 258418641; 121980297; 694237378; 886711412; 153525843; 393624156; 784457684; 597772341; 52022688; 205455739; 407642958; 93272043; 301441897; 598827738; 397026192; 316739104; 630368699; 971845475; 802873170; 803214281; 754923550; 486089789; 369609056; 243515302; 432530790; 613983396; 217378905; 39099621; 94389371; 201601503; 859581589; 931603699; 585622738; 319566610; 706698384; 375586861; 29074246; 169999605; 124052168; 913609096; 794849736; 975370580; 551421987; 188565714; 74367152; 672260689; 950520037; 37223827; 986290506; 944017242; 159120925; 575833797; 246064892; 611927969; 302489586; 602165802; 143054344; 831451768; 758933894; 300654811; 979087327; 952680909; 397757719; 858700629; 493934399; 920534327; 424986968; 240148414; 507099643; 899011212; 279066076; 386758501; 209072178; 848492765; 936128695; 905905592; 665233712; 236227807; 130783677; 417564679; 529737034; 99817490; 989140438; 666177881; 879230083; 144481928; 141912285; 8551477; 700193690; 925038285; 537242138; 845656106; 592789320; 931127923; 883376641; 729433588; 123955691; 174758427; 56284211; 413297504; 502743670; 257750454; 196336751; 718983617; 383687403; 543053546; 628346681; 405366919; 574412387; 76867974; 789684161; 746044209; 174898702; 458109634; 441597067; 515979202; 709610505; 876838107; 463503401; 354026459; 415382132; 401391014; 806111107; 871499976; 185174559; 747903655; 646489773; 271836832; 397704293; 339286886; 333876780; 577625159; 943969644; 53072141; 750308594; 148331955; 465046877; 978487670; 950872562; 696143409; 421299664; 375324150; 432374317; 461812277; 644974279; 466393054; 801217303; 845410388; 462231472; 454202013; 714955848; 824678581; 803244917; 455337797; 345140497; 554091497; 310096135; 300761894; 25443080; 348213179; 935681192; 133544100; 124198249; 85653258; 847374360; 908877894; 588409206; 210349801; 182566729; 835820478; 819771514; 85504066; 154143941; 475066395; 126233919; 631941065; 397379307; 620768664; 237985565; 673261203; 650481886; 518073721; 153623019; 669650529; 374961475; 762626756; 98399667; 702230290; 153946466; 357600788; 452992422; 931713352; 763111978; 616545532; 877104525; 183783920; 198757960; 358711595; 130841201; 836724041; 262024974; 708067862; 968660340; 683219404; 67575654; 811713870; 8862311; 86214801; 223527303; 35863281; 193031781; 496361694; 577168638; 906284547; 124255417; 878833948; 616170392; 494293918; 528274238; 883630817; 352875295; 245143320; 538580646; 83679469; 523327031; 620220447; 162115359; 377937527; 240999938; 965235727; 935522536; 167343746; 895926522; 659802315; 770217285; 305263702; 468810669; 468352939; 905911531; 687810712; 574413858; 895818500; 344889040; 628292587; 977919306; 758369766; 455651981; 270946665; 817481968; 746340844; 321224011; 938683223; 977328259; 134089138; 640686426; 576977307; 378625114; 610877673; 195115064; 842666858; 541614679; 333880272; 244739958; 486761093; 679384644; 779951154; 235817065; 457338609; 427817159; 25503136; 664534121; 449587881; 675572262; 600210017; 12332011; 143235386; 56408211; 360272817; 455860456; 316503537; 532725032; 788569264; 981670581; 275310502; 715084069; 405855563; 629409485; 303657626; 604173340; 590435879; 166406610; 247083914; 311401810; 880589270; 120877495; 245743357; 268189366; 642956415; 34837734; 480352137; 302177736; 165045449; 922836688; 378566734; 760144548; 500231788; 451846440; 877809350; 914949319; 859416058; 151251459; 723247753; 69710364; 393962480; 275259098; 777318661; 606217229; 985555004; 62271450; 301500625; 388571345; 696523335; 20691345; 931201204; 521135709; 717376752; 590117762; 261667524; 492841088; 8206807; 98336501; 94692887; 455607120; 103271578; 492074748; 631915211; 844546782; 104884390; 168717512; 480939094; 978160398; 551677547; 520839364; 474977305; 735735412; 481225596; 361305453; 853673880; 184266164; 347198214; 194367044; 382632056; 998120094; 889539941; 89896848; 940871449; 642714453; 909002408; 971916430; 639295512; 124506374; 333949290; 656112456; 653231751; 838159632; 998186450; 952464663; 18170408; 51701563; 480872433; 713256671; 131472933; 435159083; 177524615; 255932662; 277319763; 358317304; 117590125; 382915062; 131036743; 323978274; 895745338; 833222874; 198382548; 818592512; 901728822; 355827384; 687656790; 411612913; 121155545; 236366847; 931634936; 132112060; 681141110; 242877421; 516094046; 491728967; 971842229; 787666781; 535880120; 763377167; 249254839; 969925391; 912922667; 720910551; 162657613; 666194006; 164180464; 693840185; 757338061; 895773073; 763336921; 988522379; 258295858; 833027114; 6403203; 605758479; 63573951; 771396359; 347111244; 824674386; 523653114; 546034112; 333953339; 708426511; 266891200; 630581970; 548103865; 909326326; 322663623; 653352504; 247816487; 934606289; 127627474; 112549027; 692600215; 166003825; 394871285; 999491229; 606963133; 337694030; 807310763; 860955343; 334518454; 605680958; 837331049; 306688006; 632545144; 30475479; 196093323; 777731741; 655209821; 506947041; 481020167; 854261200; 683864432; 303043470; 149597052; 567436446; 464378690; 774980032; 65716692; 269458797; 230794664; 25088439; 762867218; 536896527; 635404668; 122170865; 577709862; 917340976; 442551885; 448486142; 394597748; 202681413; 123792473; 407394101; 63954609; 363602778; 291454403; 800593900; 616245226; 80808730; 197986289; 88438162; 212358022; 676821469; 874576822; 844659928; 293432961; 228493470; 876943534; 831131595; 119546784; 587528815; 897412555; 669594425; 735303586; 454576372; 229844988; 399186351; 591257481; 3635458; 202260702; 602430835; 672797228; 972090572; 535196849; 627665501; 888190613; 320877873; 957325960; 768455100; 77583922; 57078780; 646648646; 156558123; 49710376; 812183747; 26376823; 950379041; 111340245; 774812180; 910350180; 172575394; 158892348; 535189598; 582872526; 419269502; 214555432; 328741641; 244941109; 542792685; 859890817; 331743555; 883957277; 656642733; 706309251; 760955856; 875406863; 992953360; 615774604; 159053692; 615180401; 86584893; 911159292; 315755788; 351819632; 102327562; 136458115; 408286650; 252789920; 423789731; 352509379; 769324300; 608829335; 389000939; 737073095; 938672679; 124025588; 512860975; 28619717; 251181966; 816406882; 506801475; 497780356; 115450205; 92141442; 447302057; 958341375; 147412508; 866595554; 19238659; 858724790; 432361759; 862943535; 62388817; 957918199; 862043617; 645823553; 860316607; 415853229; 138566999; 394895850; 795757439; 860962168; 676836652; 244785627; 701839426; 679823751; 923030299; 565354358; 740944252; 732580696; 554455007; 270126718; 139193759; 314492018; 839306545; 131882802; 119622971; 162994388; 662487349; 815589397; 392141096; 99367577; 6863519; 819442323; 986545811; 670556883; 280000122; 364510580; 732892077; 530807088; 37220044; 742870454; 727718438; 799255158; 855561094; 323372319; 452403154; 781841979; 861721310; 599738336; 140374579; 281626469; 960822539; 160336447; 93379420; 62102201; 819601216; 523626718; 295912375; 361046143; 59498997; 67138898; 369187726; 530694281; 47590362; 334616449; 844134905; 880141965; 340138943; 132046757; 816681821; 576717677; 172834626; 539574546; 548857878; 667149265; 112274813; 654174721; 140155485; 418802485; 30269822; 183492361; 71611519; 747320948; 690781933; 25046233; 402285177; 237346569; 380007724; 382996502; 87271021; 366615862; 232004847; 767572741; 806410431; 415592365; 364284482; 610179989; 677530099; 858700220; 139499154; 426044378; 886793242; 410999684; 379013686; 92501427; 628544541; 560913372; 812633423; 411717004; 61034440; 550023485; 87208890; 986187310; 667583945; 32887041; 951218692; 701091218; 170989837; 230056055; 11945872; 263037157; 163894622; 64400091; 716450329; 147355439; 172133386; 375783064; 325367355; 148149083; 566110201; 359217946; 495948764; 50846998; 490436049; 177481086; 41221509; 91259239; 388445297; 875446973; 616948565; 404441215; 500089600; 707047661; 500100541; 739400761; 506789718; 68124844; 701676847; 974537636; 71308628; 588959908; 622535497; 844660758; 173386876; 982818324; 861052538; 691757538; 859138998; 238777665; 339128579; 340194003; 846046097; 941663918; 829904307; 792663177; 281156043; 38022908; 548353773; 322782951; 469301841; 1868017; 240604061; 968125871; 831728464; 682270179; 777824579; 759561213; 949151979; 584290495; 661040715; 481769970; 827666004; 293839865; 44270795; 715915491; 980810928; 208176105; 743565001; 499807929; 721979270; 262845130; 87086722; 228776687; 110003514; 347758729; 251473841; 630352369; 61023499; 846111161; 266703498; 877153035; 955436647; 603176123; 808799003; 489626185; 880333910; 493141409; 426364417; 429618644; 728298515; 654795564; 305693260; 197052847; 915897489; 991252892; 445438275; 575465255; 965958985; 298782500; 291305069; 601594039; 542155896; 510810483; 557994645; 164188386; 63307973; 305812083; 470060441; 821526849; 992665935; 573804767; 411431772; 583529116; 648323161; 709580889; 572790702; 127004784; 235270674; 195696201; 913495328; 798862487; 133626985; 992646813; 71236054; 303295183; 417084418; 812907536; 725614822; 219874180; 601252008; 988328213; 649769809; 241513713; 519619499; 722826587; 504741107; 272943773; 480843246; 377377407; 572152038; 74246285; 566826206; 641333999; 476080636; 724830179; 830267324; 188510376; 388135272; 33675684; 6805221; 372208585; 826318532; 953410185; 715467996; 229670335; 897011920; 533523057; 861728575; 671135258; 288010080; 529004866; 435605620; 176206570; 899805749; 898061098; 540539632; 643133450; 452819121; 956553113; 906563866; 762469316; 894940359; 928127539; 960090293; 72891308; 317170354; 671989700; 413607935; 30561838; 910377257; 680233539; 670383504; 867061631; 433498516; 132144601; 800027174; 917931929; 517486945; 533692281; 121710005; 888745005; 855313892; 321711999; 191329372; 753097384; 668330269; 569240503; 284410320; 222047787; 105297614; 924738276; 466596987; 729781257; 911254799; 589625186; 891583740; 957090586; 616365552; 465840479; 65769771; 155323903; 844412463; 145439305; 318599493; 299092913; 596701607; 595440667; 211557055; 131925545; 852370497; 511247209; 976999240; 993825405; 502493297; 307821281; 894547366; 936024736; 40347232; 968438875; 224069518; 450433756; 798170970; 705995740; 795027569; 944369414; 260638421; 658679499; 981220190; 652340394; 701757498; 652876821; 376756194; 422185324; 213350036; 139503993; 623050408; 951689315; 195132408; 637593238; 132946891; 843192205; 256549951; 665663327; 880693471; 779492030; 22597984; 451409639; 853635317; 856430828; 166721174; 742914789; 576404518; 39397410; 462820744; 922178288; 708595921; 749185389; 648117715; 803634820; 85677732; 129519971; 822441511; 143613092; 107000764; 552824102; 722677742; 426995267; 142222971; 897431130; 448246337; 216532336; 746068825; 480339528; 28824685; 529587725; 70042980; 140893597; 473492639; 208576540; 627836549; 272655760; 993866097; 329196533; 340061684; 845084727; 183073494; 74322949; 576056931; 477373849; 315945708; 132203296; 1988593; 316791540; 24727042; 241100089; 59770117; 581686126; 377583931; 403487698; 302920385; 11196269; 804951842; 436319362; 806761309; 654836227; 834621231; 827845481; 317356352; 829062099; 160582745; 509806947; 335974201; 939554395; 279869100; 530891580; 179170526; 86062501; 261435641; 72473543; 227360039; 119096548; 234199550; 881027465; 154514328; 668235364; 848355101; 594276087; 848620389; 388129540; 304086043; 972587408; 824851270; 398883587; 121063308; 419523984; 122068416; 28495849; 391126811; 492579149; 334193456; 806005413; 277822329; 465256010; 16619499; 240333162; 647012846; 356000203; 988542129; 923002354; 702124075; 703461577; 226801569; 647247437; 372914616; 405823446; 439681526; 89178200; 599619453; 558778393; 940976267; 892627605; 361208398; 7486588; 811847798; 823723351; 107410531; 373544949; 564602348; 894435475; 422855397; 894296711; 193106563; 681431761; 312704412; 263008006; 811472676; 821346747; 759358423; 582184145; 80172253; 359757433; 843449966; 711935626; 438869852; 321102563; 704738076; 681898942; 941673654; 139113920; 761850660; 307662071; 597154566; 185620719; 779949426; 857020722; 660373529; 239667906; 332962794; 263561138; 164341798; 975619968; 842355894; 413484624; 79888577; 942247986; 962596891; 377731314; 462245359; 710821169; 759356426; 357992308; 721216663; 639630982; 531981641; 695916905; 464600767; 85265588; 304337794; 755584584; 182537415; 505017514; 757670149; 500927795; 191428826; 195139108; 50151371; 788719937; 561542082; 713007529; 425744272; 58039201; 238380675; 818650657; 764658622; 430051988; 108009748; 262738720; 940328552; 447227115; 628889130; 974455437; 412512029; 607414731; 747061952; 530595242; 641304692; 918300061; 479853846; 967147885; 146015429; 326353886; 42356452; 923582377; 185084397; 835944168; 627119031; 138615994; 486644713; 834485263; 871280457; 576670443; 112943167; 794206983; 558886950; 951952993; 92946971; 447951969; 630630272; 614396050; 650400148; 927415739; 389391219; 687707293; 924650327; 546755737; 377122392; 543623301; 518970615; 506014870; 969106752; 360428600; 333811234; 166971155; 891171388; 608546288; 148504328; 515718407; 136068624; 652090808; 532611126; 159051587; 639183609; 738241278; 697507722; 719299294; 396866933; 680856395; 496860452; 155970988; 601615384; 661454668; 229704258; 271000593; 314535908; 524845863; 44998905; 119189605; 444949863; 985251979; 680108622; 84230405; 810902569; 255933787; 200476009; 752288961; 695059403; 67978655; 30242110; 353789875; 508940545; 91309485; 605042824; 923577415; 596418244; 750521312; 389374489; 744553191; 609242549; 607743233; 191137580; 135833343; 13073271; 527146897; 791157349; 433699238; 200802090; 851865797; 924696749; 257191611; 842823614; 319225941; 709065594; 739205069; 483496856; 102670928; 502136087; 98705484; 532060658; 824752949; 978339321; 433124485; 97424338; 687866179; 98276026; 180513309; 274214252; 195189279; 244795967; 575786981; 1577268; 636285498; 318958583; 18736864; 356866219; 46298457; 242327033; 339481388; 97079284; 884903772; 546106518; 71980937; 517496092; 553206025; 353811494; 122834016; 415750004; 627559746; 748516255; 879481292; 37440133; 651582880; 992754685; 311713790; 744416198; 48292844; 761306491; 111762821; 189455534; 945249289; 65999483; 996053008; 777456557; 201762235; 365249220; 636373872; 681989472; 141608111; 78327039; 348854450; 164296494; 904275247; 520526858; 300742977; 431784206; 51588997; 59775797; 256135133; 834083987; 846045291; 55456038; 767325529; 708124280; 674919805; 136609383; 849255299; 920565049; 303452642; 317846268; 407118907; 103250462; 911646403; 136313190; 848897264; 267437167; 419574113; 211590680; 882769870; 253142275; 144919612; 253536666; 494175242; 343271565; 292164935; 479649210; 33864692; 393580285; 558034976; 260536714; 491666068; 153801954; 750502764; 556702038; 66932332; 498864989; 852621867; 539087913; 367153628; 45343652; 408286103; 74684167; 942080072; 496383611; 534716398; 414669393; 759093035; 200250748; 1550302; 979084743; 987087896; 335884304; 714448099; 860263707; 981010905; 167012941; 847787624; 633272925; 909963810; 713756179; 308020512; 815818532; 349724152; 5033611; 115184463; 546931713; 256563669; 111667287; 268995115; 303164771; 668426057; 328231656; 768988437; 137766465; 737080294; 16815702; 354202559; 341250368; 119578306; 43256918; 402522162; 631740459; 589773807; 773753314; 469742304; 505547235; 19124297; 650496595; 948699960; 248833532; 405521419; 888068116; 516494479; 132446111; 106932482; 945134520; 204314297; 98839245; 157741809; 311733833; 21042016; 582460549; 821235526; 88109167; 15840914; 456270867; 37777556; 963242650; 199511556; 687556787; 409832711; 979966162; 63427975; 161781285; 558357123; 352838560; 933706420; 319792054; 368055059; 895302354; 323947737; 353262610; 754654344; 898544547; 97254215; 581986472; 324636936; 215149827; 856172685; 199477821; 777835276; 212763359; 398498026; 493405779; 22086502; 248835005; 539429380; 111394479; 156546990; 798000022; 146971903; 11390249; 87054109; 778070922; 190157018; 51136291; 525601755; 652047249; 204625207; 955159361; 153410514; 77754178; 578045378; 90419937; 354592215; 724995567; 83197751; 768115793; 577831645; 24737215; 510265454; 764545007; 480266985; 222822371; 714149155; 798193307; 134503919; 193074903; 482123874; 16457049; 878364758; 994804865; 332738510; 316025805; 718749653; 245192692; 289169038; 534226813; 927527514; 788927813; 230746642; 628745875; 614092811; 203107889; 156825165; 381472907; 692772781; 714488608; 597073130; 987152426; 719930677; 802541267; 358738013; 164864849; 192148772; 131605610; 192749041; 250401277; 397271465; 423642600; 655619736; 848257999; 901451388; 65436397; 206105301; 958575920; 571538926; 24701775; 17962576; 509692501; 805112341; 568841302; 290132699; 671548356; 982872667; 45056966; 541020424; 274232922; 515732512; 982938806; 199797073; 704973236; 808514528; 968614006; 594080042; 648200428; 589255760; 920472535; 434896204; 4304874; 443912623; 31922821; 777777789; 827839349; 541052020; 360128270; 944044001; 967147216; 688928370; 794148966; 786070749; 478236244; 849456718; 291245794; 58217521; 75487451; 832621046; 304283844; 329927521; 213330079; 831140089; 991403027; 776860196; 742073915; 628803896; 452212807; 658804914; 436592135; 243224242; 414666725; 119478253; 131797461; 314129827; 45008622; 173116790; 321146173; 329929055; 437919231; 3646200; 999616106; 10781786; 584079677; 226459115; 741601457; 936953151; 953406278; 970595727; 419259228; 207446373; 279473056; 50821601; 129113294; 835513465; 997420875; 685289325; 319876517; 178742371; 572029261; 254851662; 473230960; 880422133; 252851152; 402476488; 610765521; 333560271; 558194300; 968554450; 655058466; 544077036; 863273645; 318705546; 440957446; 981128530; 709482383; 24463754; 521742059; 449395023; 915189408; 846764899; 788389432; 255266077; 824709844; 349911943; 29945912; 841456407; 763847605; 331832469; 8398434; 680818809; 710586193; 903194242; 81760546; 187329992; 19784040; 920652537; 308388270; 792059234; 469435596; 861449726; 770793487; 192577058; 457643168; 82360719; 135399871; 609457327; 1752737; 430928874; 310793350; 467162861; 192483992; 279685945; 752592560; 900600202; 484670056; 588701991; 738742570; 777389449; 563168630; 113708200; 383759595; 911848849; 335714400; 28267264; 730787981; 834781496; 842945479; 479244125; 659655039; 578894822; 193832490; 781388051; 393705446; 832619959; 376903937; 231980942; 502732709; 690908120; 207462847; 724076646; 524329743; 585109301; 57681674; 484064030; 415016276; 54505502; 144403467; 107920929; 360340461; 655587202; 461581159; 491641330; 766232967; 676716847; 633901904; 369473028; 755974217; 974466582; 484402024; 296044179; 700708664; 466365136; 987194237; 612915937; 116435910; 500661858; 627553617; 354523773; 503041941; 858219083; 200516963; 386026422; 124671132; 334611823; 451325605; 626313165; 243249951; 299335144; 704926394; 759626079; 86036522; 66664252; 161638289; 415474954; 927435131; 355785912; 576969037; 971669753; 174155856; 901858172; 976888269; 207367867; 600771198; 722248571; 93353650; 151314442; 414568150; 420565646; 178600338; 594698451; 728188325; 283961875; 780401341; 511250669; 541197084; 638837311; 513456433; 18577091; 344624800; 399201053; 521104846; 802652480; 266239342; 683824967; 640547356; 594150260; 870869426; 988681916; 268630517; 604490397; 378551991; 434675155; 920147380; 134608800; 862249909; 779632688; 90778386; 769508527; 742854726; 143390675; 57396524; 763244977; 747628520; 764002325; 887758855; 162085215; 923212761; 114239926; 230890772; 423909687; 649194657; 765870954; 212275025; 392112741; 92423765; 277052286; 752494153; 764595499; 343743126; 210923371; 820807604; 737734329; 411485797; 719096496; 995109706; 796190578; 108561363; 496746234; 834046321; 47425955; 451452167; 303983848; 933742837; 899921688; 694520631; 21122058; 890020507; 49823675; 109810756; 110944151; 496958229; 804392161; 631096307; 280413982; 580332092; 401727422; 822802848; 588154227; 977931296; 377144113; 335497071; 898885096; 484506554; 705804241; 207203296; 45869977; 651527074; 942638861; 338672249; 807275741; 459282255; 636951664; 324176288; 400125759; 653665868; 174103992; 996141561; 189149341; 58115081; 514895786; 692391307; 220652756; 118758545; 431737501; 736225798; 318716430; 167999269; 486463414; 930832008; 580472087; 859782625; 258894038; 646078961; 771131169; 112418058; 820860466; 98087706; 524500928; 563842016; 176996341; 676586883; 937386578; 704181139; 250761532; 874872121; 84479636; 452439385; 683225741; 71844415; 522592444; 215217177; 600487601; 506406133; 188192311; 202080610; 670969061; 405582990; 515638372; 227150808; 583002316; 100446865; 837574866; 370835474; 457849426; 757920592; 989922665; 289967708; 255324014; 123046160; 109948120; 843478379; 623943657; 931291732; 333342881; 528899844; 808983261; 406022715; 878206066; 50640690; 275428052; 539540546; 648907500; 681332297; 276405651; 576874225; 968626564; 950580175; 738538059; 195275628; 594606501; 595903491; 997375122; 957970945; 351079492; 481830021; 288666747; 645865143; 902007277; 202003745; 906982912; 821346419; 161913173; 249643097; 802307; 442535491; 876948542; 11368638; 251923406; 234564178; 247386464; 291096139; 820441192; 492632070; 515493460; 742543168; 273981926; 65783362; 295065328; 128392291; 702991167; 630540445; 486428493; 365400465; 50694642; 975155054; 802446544; 682258533; 914645128; 934338432; 639876503; 633266644; 499698974; 410855143; 451384478; 513962155; 688163376; 330117475; 816112741; 817328564; 269570531; 936039999; 580167299; 979167584; 449477199; 288133256; 430495857; 248378103; 154139308; 742054773; 965639655; 691763570; 457079261; 760613539; 526869229; 886546044; 102176759; 802602768; 910674082; 745201095; 590299345; 807090953; 674071738; 977600702; 369858403; 886903746; 180277721; 137447412; 48231698; 865071282; 87986513; 305950335; 298679079; 362082477; 105306931; 141251133; 262506976; 227715541; 9233687; 690570587; 865468096; 26332373; 464041304; 115266067; 640312839; 901504018; 400250031; 741498923; 664829986; 53110056; 640448114; 961826468; 842065975; 152778500; 151130227; 465718966; 824691780; 613082040; 690702683; 625059759; 3153555; 421095110; 238175138; 99674246; 243659028; 202598282; 822169783; 824535872; 412360563; 529148755; 485129469; 809608557; 843150241; 330867270; 673583455; 7520683; 589538619; 276653122; 503117922; 217912531; 931369631; 39501957; 467044641; 759232885; 632780278; 200785511; 249426731; 206566917; 133104128; 712230975; 936356675; 360663247; 210606916; 410434668; 528798370; 650001544; 319747674; 980070720; 168891630; 609032442; 103614938; 356749046; 885562068; 661674055; 133306546; 766824182; 962619998; 855643951; 525049061; 96338557; 498116240; 230359116; 148571596; 859161869; 918024410; 46429460; 887106154; 930154232; 39102759; 623397038; 961756214; 238264502; 154584908; 881758400; 793750541; 543888522; 479266067; 560453807; 178958019; 211204906; 628088234; 791009617; 302224087; 628237856; 967531329; 242045563; 58773004; 579116240; 521989584; 635396328; 963558492; 178926362; 462232090; 177794976; 512545607; 551398491; 820275990; 960386524; 143402705; 553028203; 598012734; 352741380; 449430293; 332223037; 788354416; 421201794; 883173821; 180609100; 541752282; 362523525; 70887403; 495674867; 878133259; 213094863; 384735465; 230719289; 91371944; 259692044; 965136237; 626937066; 105577493; 164483923; 939332245; 297863375; 746178940; 513900075; 506939528; 319378455; 228685413; 126760135; 409150513; 183866682; 110724344; 4464528; 626555379; 947944230; 791539410; 964267784; 396791558; 998758162; 768418885; 368599415; 897246651; 49168485; 364460862; 418198122; 865588825; 966395405; 616117672; 277026233; 384976735; 256165830; 822770663; 872225043; 655369134; 867164436; 281505351; 793059163; 598453204; 331899461; 99447372; 916684939; 10115978; 354402636; 524833285; 456981676; 216936; 633970386; 190643328; 268624703; 467320757; 404553457; 948007396; 742221146; 610195120; 364728249; 539083438; 960339597; 327957468; 731321707; 957539585; 93463143; 359958971; 833221526; 467527444; 649466433; 583310080; 685521438; 608921569; 551755268; 156276483; 620554269; 60286114; 105447483; 56288202; 494293604; 18482813; 316804290; 592190736; 943794166; 306579605; 713787468; 968303931; 8848973; 12996002; 178202364; 519541108; 358638379; 501739965; 548985079; 918011409; 568585680; 691899278; 762941907; 171175549; 89746373; 233210965; 10419835; 937302150; 634444967; 41245968; 558049249; 689685664; 841885138; 266742919; 166218952; 473483252; 868246228; 647678332; 914252977; 360658938; 585705565; 445367541; 489897541; 358156429; 189202323; 963941103; 703488722; 486443698; 793096444; 622169287; 431522462; 724226447; 529932431; 417677105; 775586110; 648971993; 84886554; 687882736; 143703384; 840350955; 10564955; 587140305; 919400478; 969746000; 28602753; 154527604; 595499512; 120266279; 808593953; 739675851; 522321155; 621111997; 511728552; 215987071; 250433540; 289169876; 197424996; 229937375; 275123839; 613206902; 449685670; 839250151; 516325077; 695900273; 9927709; 128014309; 399562974; 500525207; 657530197; 80971902; 517770948; 172868744; 92292288; 943480383; 146177280; 209410685; 931810237; 172300983; 453712199; 418219615; 753294636; 858099302; 446906020; 50315625; 348729961; 486819153; 528031568; 877824924; 741587688; 378343115; 459659318; 358599572; 272207617; 660945885; 812281098; 486369593; 98308485; 22879204; 488819487; 693239822; 613034070; 956845; 609081075; 328660295; 607155939; 592323552; 100292785; 561397589; 571877420; 374731747; 714807601; 898061356; 332039338; 661687063; 266003162; 648918002; 499138939; 197832888; 767995636; 903803470; 56946529; 243841580; 91483127; 868312644; 389727973; 483763606; 894466263; 807589259; 851407558; 401992025; 696449202; 792703448; 670670584; 551297457; 949161329; 578931252; 592202875; 85849288; 106589736; 981022427; 828490766; 291562890; 722400170; 957915970; 797047978; 175527056; 988123353; 462280656; 524285460; 32119028; 632894937; 219091465; 190343289; 719577249; 197518061; 393396223; 711339173; 976930437; 420064469; 389494978; 763681758; 898968509; 368176693; 781004969; 79885963; 877108206; 930457059; 929309220; 431113373; 106645450; 522490268; 204950432; 297601498; 840822041; 42788992; 388426951; 618862091; 539035746; 200139228; 478108437; 85392403; 143447220; 587402793; 572129795; 646047777; 363432306; 859087230; 211561185; 355554209; 759063641; 851023938; 8536451; 47160110; 295743470; 659771860; 389348670; 471230723; 548257914; 909125326; 829623391; 814571234; 335073079; 101675816; 723709165; 430141623; 805547969; 21863389; 107914405; 469422398; 488903643; 214629869; 591974321; 845608001; 446338459; 740025665; 408272753; 969816042; 82059823; 469895949; 250727455; 309363578; 512402038; 720863057; 119203804; 867359102; 233353581; 73376918; 603345589; 129774511; 254449326; 835622928; 631319821; 726760775; 299783245; 213806278; 495017295; 359697125; 881529974; 502704479; 109959829; 397074777; 399449153; 883863409; 537222306; 674710448; 206202196; 256048775; 420134229; 703938717; 317395221; 386415346; 151698906; 893405749; 118684636; 929158986; 962140323; 30481205; 840604534; 750289628; 338501479; 288351152; 45957503; 490989597; 258993666; 458087361; 187495842; 229449633; 277591623; 55787124; 40212025; 555632084; 355125899; 707221426; 260905319; 103455974; 921779247; 564104820; 453975120; 28679267; 844987910; 917870946; 833394997; 537405604; 42483903; 923673112; 408018313; 307594874; 52966144; 802768416; 646715969; 160285267; 399944068; 704555591; 33736132; 761441442; 281500261; 901208504; 408462618; 120251939; 801109245; 275921388; 36935760; 198031419; 89456626; 522493103; 190345008; 769564320; 851479813; 645527587; 467498864; 718419245; 961340978; 114644291; 847061787; 700514578; 752471444; 875686582; 630901708; 945659145; 784117504; 100780691; 961514782; 193475399; 40055170; 987634031; 711318467; 574050818; 269050476; 643172404; 740824366; 660517615; 239774490; 738629527; 441294003; 91274394; 804761591; 968238677; 676471901; 715307333; 255477761; 231056004; 151032983; 908668210; 665261491; 465689829; 199827911; 173293871; 502621403; 644193744; 457176626; 95586449; 559212922; 812907464; 306364125; 93932351; 504953662; 650904938; 262428421; 79736987; 405245927; 629617697; 473782892; 267633277; 804485252; 40750576; 718373238; 802284567; 899508943; 33391337; 161750596; 571097983; 144467481; 39243147; 142051540; 992504159; 61327913; 237758732; 975398246; 533614675; 821282541; 803778465; 666053596; 482474688; 287343026; 402110709; 361467820; 660682459; 766863962; 940971332; 133443376; 299322317; 403289380; 91773147; 578740420; 178337753; 626487223; 3329078; 133029916; 3445303; 180192376; 348345874; 382546435; 166253188; 762642188; 407937250; 357625136; 577200245; 379724244; 19232721; 345288519; 722704102; 223235722; 598922463; 881090280; 630053391; 718604012; 141511726; 273913253; 102354794; 476017907; 422540672; 695048655; 265734182; 240752030; 72436120; 74561677; 369765754; 986102028; 271213492; 144489834; 932666818; 473117188; 947829933; 341732375; 416832921; 206474181; 188913129; 998511470; 73646354; 299332842; 270671030; 77491204; 199382630; 620056299; 593621476; 205712819; 370899908; 27972373; 247878908; 471032089; 602821904; 36654639; 472210204; 1506888; 675608009; 188051949; 1167041; 532098903; 476252659; 669257691; 559553425; 715122734; 20547462; 536253493; 64166682; 494508143; 856419984; 546429105; 401304239; 483683742; 561236488; 925680184; 97940018; 739642396; 215456008; 179172199; 457743168; 454303229; 40214746; 666384953; 570926099; 317619550; 675864306; 585532696; 579862672; 529502563; 740576505; 385691413; 560222402; 93681395; 542474751; 950202120; 878048451; 808731428; 463878722; 831849211; 690138855; 104977773; 644018655; 81525857; 621911831; 722700955; 885090699; 165054401; 214052164; 53318648; 531691184; 780786743; 759193573; 810047374; 385843571; 636137416; 699791663; 918197910; 917669687; 604733759; 128077557; 282018282; 818485977; 404253604; 224796331; 830717554; 736892077; 237971203; 686952929; 832352844; 939385224; 864533054; 558246504; 332102058; 181428997; 170905489; 965822013; 311167709; 424290155; 324675837; 744974423; 923753558; 215435880; 661537145; 98598118; 401814655; 585513086; 500782111; 982056643; 280836371; 777948762; 62053892; 989591926; 558089027; 150308517; 102494307; 761855398; 491719540; 313833799; 787853830; 680999807; 285474868; 823831355; 487419754; 775390507; 774844102; 674678210; 107334650; 651914174; 731087618; 424443194; 779124300; 311082994; 66146814; 574712978; 195648032; 47340149; 740048564; 774440625; 912386616; 106712487; 990929093; 479657623; 579562917; 979925905; 896835207; 588948714; 924994467; 641703137; 103851144; 181744391; 903478053; 173534727; 835429479; 779727670; 518445180; 797801167; 84688954; 271757591; 243561365; 383869750; 12503155; 733977353; 328482802; 220455684; 325796704; 701277435; 225703491; 371908522; 315305513; 943278837; 417213490; 476407708; 204101784; 924105650; 956566869; 187723133; 674794433; 330150559; 145352675; 764384131; 523608159; 522652896; 240079428; 588212077; 826744362; 678228374; 713681319; 323625951; 626134311; 576030436; 172499205; 527153247; 849978068; 538483200; 307960863; 288873086; 708805257; 929145923; 796650440; 755467254; 516490791; 566444533; 179811163; 368151876; 375227087; 962418280; 844732958; 660975984; 864078849; 767284855; 110599079; 414761854; 814506949; 640661821; 753940276; 211161007; 122619936; 855029226; 846373552; 124254601; 976515689; 702139420; 289323689; 800855803; 895860146; 52670232; 236408258; 337587658; 20052478; 107643886; 821932709; 47777713; 424699248; 787285352; 11511992; 435779428; 37640569; 105997829; 555901379; 256164510; 394017575; 138177804; 72280161; 269242166; 705900441; 507045556; 875410672; 600076836; 366396719; 742936519; 826096577; 268159050; 108434341; 498995760; 52964357; 33585445; 163960723; 928550671; 367423573; 24222656; 574303907; 909532602; 579341391; 380140407; 166386321; 230546300; 520910726; 851814753; 454958295; 285031541; 117589106; 93524253; 433786619; 758377794; 119826477; 843242724; 573561994; 185503411; 711162233; 7833516; 897992628; 791063982; 842376379; 286786970; 28894124; 373799675; 731072534; 133306498; 518557782; 207121887; 133229360; 681637585; 454196646; 664997512; 643888558; 473008641; 79626084; 300700803; 191904399; 294943269; 650725754; 678191650; 369444142; 542419740; 995746712; 100493269; 213208444; 395996385; 153421443; 958461258; 45564257; 969273327; 259908894; 810923083; 98927862; 520543653; 195700116; 369892009; 767633128; 902866211; 310665207; 819037660; 8972278; 297942802; 31459453; 95988447; 563361072; 86692933; 81124319; 867978444; 383316498; 487051984; 62934898; 239833867; 552196833; 53955629; 172657428; 606474412; 335557460; 145557222; 644823371; 48857577; 45270372; 725657204; 897239268; 97006795; 99455912; 860385715; 618984039; 672552024; 323090996; 1130878; 971983578; 854323538; 550120983; 493765136; 512540169; 561639076; 510345063; 581009977; 50474279; 935374775; 789252348; 580877485; 254793747; 247650635; 171603249; 542555979; 388928136; 601735654; 990325645; 416595669; 485334449; 213389490; 725840032; 6462992; 408051361; 870301011; 888597507; 609682693; 940986890; 996838573; 449783687; 84467663; 110434429; 324095380; 493339444; 184782661; 316722012; 100792193; 828304402; 756504878; 83966780; 823557645; 546126079; 577093129; 543374338; 849555733; 910871853; 93692770; 563883649; 120131515; 480773657; 824738829; 772663671; 410735421; 356807837; 570974460; 668574348; 327972049; 370234855; 595632569; 681193488; 238224832; 583114028; 768501086; 385460389; 66838389; 646221508; 318319593; 928936405; 417756186; 363878096; 169957149; 469388416; 206113929; 688953663; 998234811; 312908002; 577528725; 863737144; 502698131; 678088765; 572716338; 49506241; 950917746; 985064567; 578032951; 775046937; 653979252; 28855707; 907658180; 103380183; 128592879; 402168262; 830451830; 552320941; 947382580; 405287281; 338298324; 874171231; 598853720; 312738333; 659912057; 83552159; 97149317; 885450385; 608808659; 307443193; 809488793; 334444846; 13540615; 764069004; 989411837; 989992867; 494376208; 185304716; 933025516; 515558383; 959573915; 108841997; 337676042; 894760342; 791444274; 421313607; 337925556; 770226917; 802806322; 362827296; 336345887; 552663403; 766035273; 152846983; 70085777; 525289153; 862330203; 281677461; 512692600; 394750755; 353567578; 252486796; 945051323; 545368762; 617985398; 661085622; 679889865; 203348884; 45884218; 597036160; 740552638; 974927841; 874985946; 941776850; 286236561; 967628725; 600622103; 260412816; 704410679; 368354222; 797512010; 109104239; 549187430; 383658072; 698882757; 981908961; 859206008; 745484739; 57199793; 972706842; 593761504; 942002813; 898482953; 476560035; 475965690; 693678800; 683701966; 333391163; 576355713; 810265280; 272429292; 558257999; 109464290; 179138554; 41466949; 176540931; 189861841; 981234983; 424636343; 124258832; 800922188; 418732796; 380582968; 905507432; 506342546; 808914618; 757178351; 587270257; 760521781; 911011621; 354844574; 124637577; 866964211; 76936541; 995624618; 449681445; 528960601; 296202055; 7345553; 222383668; 185814912; 119281004; 596424749; 518415262; 785769749; 638400725; 391979220; 345960069; 869376035; 807042212; 549559674; 526259562; 795429429; 881280355; 429003935; 995613209; 569463349; 877093595; 419656156; 835479133; 66941963; 259274570; 825432626; 454765865; 819550971; 560993317; 324416025; 602721331; 310489512; 263994145; 154753998; 745457465; 296265200; 605405662; 250004664; 726772805; 989003967; 908444294; 2920588; 582688591; 251601325; 443210894; 675453202; 540306057; 732456118; 395282948; 835086136; 852001992; 83764786; 40667549; 951979223; 808652033; 869454031; 905453644; 325720543; 996372842; 579542889; 619916537; 693010352; 489068235; 927058352; 610405815; 339728522; 235234812; 878570623; 852372411; 781151027; 553607427; 15363387; 717303588; 698589801; 597745275; 789292153; 880270263; 342877813; 688838394; 284787111; 619088937; 215590940; 694355700; 293942294; 383390671; 935896784; 275503424; 196619482; 893285648; 996765693; 522322373; 146765950; 456733515; 551795855; 77949424; 852104082; 111825070; 633615404; 239413760; 233191069; 574380711; 487199587; 900723693; 412684785; 279283213; 370635070; 736314697; 612268011; 622205130; 95438309; 752687355; 211208420; 919014092; 357355447; 919683657; 364605565; 695480980; 989316742; 344130607; 466273897; 842499131; 11997156; 951942443; 99086312; 185365541; 719618851; 223250053; 531648148; 524358945; 647562599; 761151530; 852435953; 700025611; 916514242; 781097730; 18965179; 73094835; 67009942; 868623138; 985274163; 905813142; 766811906; 326396497; 596910842; 378542348; 584198061; 261217027; 32571459; 531749954; 841916611; 480237711; 602064862; 684835787; 538121019; 802965947; 433618520; 589885902; 626474801; 674154450; 741087985; 531854984; 447766527; 866780667; 42336726; 914565176; 822599924; 176281041; 391936955; 433183131; 667990938; 83095976; 36239261; 597891560; 616093281; 5539284; 606304917; 577141687; 674393153; 313714352; 217655441; 561559108; 976206234; 137262940; 646906336; 716624919; 751223980; 618658735; 676580770; 406712107; 13866377; 619258417; 740252049; 78799433; 49195247; 30060546; 573665494; 968860567; 579977314; 411406301; 908988429; 717483905; 30487385; 409674069; 348889880; 536894554; 175243472; 672001272; 279723668; 225105401; 317982189; 61453406; 487580996; 596486437; 414801014; 120156595; 721921242; 485615087; 517512313; 998563768; 385496905; 447209845; 655020908; 489858077; 674990726; 239787862; 347298343; 245618144; 766957722; 869189848; 429135495; 334140348; 710850674; 64730003; 698676127; 961141339; 984087171; 733228099; 594763978; 103019364; 768957906; 418147016; 330657156; 356151898; 224529032; 396734064; 376763479; 527936717; 770677401; 228374783; 126384213; 934714492; 749662421; 708250738; 792394347; 603523181; 785978433; 609748589; 421821890; 19173848; 654740655; 255291638; 499622185; 978968167; 255392627; 488518263; 333984564; 49304163; 825206766; 346315378; 521189558; 688279418; 987150806; 846638527; 464217069; 776784899; 135981291; 105135949; 208289723; 646554056; 332293053; 442736141; 188226460; 215789208; 138174560; 592218878; 653613996; 900037555; 447860103; 717227196; 448725582; 60123482; 769184604; 323146137; 64756097; 782767668; 337782619; 445617802; 81836694; 144328560; 564462110; 685333335; 192038120; 191947512; 453391184; 598445831; 258686250; 987489337; 586958329; 329345726; 931328536; 355611485; 678166421; 342687338; 383412041; 795546264; 865592850; 874327994; 381911315; 694050430; 745616572; 23713184; 660564632; 77866698; 632123422; 639450650; 903327210; 241009825; 679477476; 712084634; 467313823; 544925538; 291840575; 892290046; 963064003; 838258507; 392722392; 59191994; 457691534; 569468050; 77122561; 387385228; 930025991; 235190867; 371859794; 441674240; 968833855; 925115259; 777264344; 645589091; 104939955; 815752445; 150235142; 627460803; 706095376; 177407119; 20126085; 537612254; 733398470; 800830806; 41806905; 332874224; 51656492; 378935836; 251743565; 510654415; 464392944; 544260210; 833754051; 195234792; 299761392; 925978906; 457196399; 503698712; 107707281; 62499352; 415364722; 495618004; 280067077; 61714292; 794471720; 118721274; 791617134; 234264639; 775707710; 613740901; 402118540; 770764445; 531948657; 764812423; 817709672; 775516771; 376800145; 724976445; 428222566; 275687964; 812158735; 800529615; 67720569; 112275127; 93017313; 569091474; 948224004; 73020223; 364028206; 478051176; 261123233; 727577865; 379562349; 721761824; 284636392; 899996212; 475008901; 51094687; 598945856; 163034792; 101270354; 158545962; 704249237; 570341606; 208632339; 215763178; 939746840; 789746151; 347981524; 130810868; 105559948; 10052307; 40379749; 956485618; 356426423; 904734098; 384562504; 35979345; 421313463; 798181183; 672386287; 33975308; 977917089; 106553803; 385127774; 658603049; 387971061; 574294014; 692442714; 888359348; 719902819; 271637867; 875949580; 87146486; 302234534; 84557591; 143298125; 233406675; 91604257; 478245644; 965849536; 909314012; 784622758; 710485916; 720180937; 28865996; 582629024; 191242812; 944239809; 256594268; 881543462; 66373940; 255145095; 203116237; 396237979; 548633450; 583695071; 845576177; 768835118; 96160897; 854420863; 906996306; 517320948; 278109403; 511594676; 599701949; 347104608; 928057125; 123672135; 31464331; 548156883; 520598517; 306098618; 840025741; 799153722; 125594930; 59734421; 30718316; 238449178; 479463034; 190922872; 58678430; 457338028; 385691409; 476574662; 872872802; 225080512; 538137607; 897838317; 1096368; 200768967; 333134346; 973724191; 203031742; 441405017; 524561663; 621331211; 516869709; 184389030; 422546122; 464233037; 136705980; 728662413; 425709861; 543848460; 498969960; 891941; 909292884; 94260512; 983060790; 64985685; 692128896; 901518431; 129847054; 645336449; 494020862; 217111084; 739727651; 380346460; 661926068; 805264711; 250873211; 80296717; 273596715; 463941095; 596253695; 377498853; 374529413; 236192566; 448450710; 458304190; 445586817; 934671396; 951316172; 548906586; 48612385; 494798144; 690156394; 858024161; 778858270; 660386928; 65816071; 366584952; 421337068; 439222200; 204512149; 580575632; 72295461; 562336296; 171532892; 881913285; 129273202; 542090702; 984487562; 512134183; 361973477; 858383931; 355291940; 598286070; 464495931; 270923827; 392311474; 811923288; 773431731; 551966809; 694703171; 470623217; 36222177; 912363586; 721144439; 863705054; 895346502; 360101391; 1057773; 575551143; 813757489; 706957740; 596941446; 575159600; 518894511; 765191701; 739083127; 352162624; 593879374; 280186941; 731538545; 837932608; 209341449; 963450938; 578636770; 294408018; 108209852; 945901723; 269907064; 879576225; 151916759; 913786088; 952755826; 596039178; 994857167; 725261826; 36947395; 254329752; 854505153; 192186150; 954581668; 576104495; 608243712; 601501019; 392219914; 473516887; 50140872; 709237172; 798846123; 305902072; 617175670; 246496903; 889324875; 83607783; 421443076; 442176836; 912117055; 775505045; 689776441; 44730679; 39233036; 514710124; 569352791; 504798947; 760396259; 868129724; 674686656; 504417300; 796832350; 808558254; 735009920; 753806670; 557188081; 994307511; 23191543; 265882485; 924350299; 806633003; 712490242; 769257315; 956159; 669864698; 949392879; 236238962; 245569993; 400163315; 388532812; 577888101; 829222178; 203324357; 305805743; 385401783; 993477192; 891434964; 827551902; 407493111; 925487433; 482724964; 716187107; 152801963; 545689470; 286012981; 978430321; 16081423; 30642163; 183667106; 787139011; 665215469; 198592326; 498814191; 991941883; 406301543; 765569060; 436089039; 747939681; 647402864; 104276176; 842308704; 756533946; 37176631; 850632460; 134480337; 909465770; 173660234; 74405402; 919140794; 392847545; 285164145; 914677522; 965238724; 420212580; 98840815; 140777567; 815689564; 888734912; 833014795; 491716891; 125392756; 607040999; 90588475; 121140212; 635219047; 312245967; 717883664; 185966426; 666195054; 14080036; 872948143; 705531232; 369122767; 868971826; 309278071; 475433933; 724133766; 164548688; 816199014; 176875097; 504746864; 518670801; 942612381; 169412591; 377165881; 856203854; 426555451; 186590900; 166310227; 537728486; 147583599; 524028789; 682046360; 944341933; 100803683; 388030076; 817072505; 854048073; 244827002; 124655865; 884032618; 777108077; 857548484; 966689005; 599074938; 953398496; 487915955; 737029682; 382288226; 999641713; 24479245; 319214931; 658969325; 321149409; 482207657; 855578624; 382738297; 152084148; 19030066; 718750031; 395013854; 813692538; 225278515; 753356335; 625314949; 10319456; 905975164; 230514397; 737558968; 142554687; 210791436; 762434637; 53139455; 744208977; 691429168; 613877584; 821442870; 864055646; 165922588; 538949985; 991324442; 482026728; 450337745; 229019450; 910098049; 267783092; 646311994; 148686709; 481769535; 427711825; 351537411; 361963638; 76367774; 561727633; 823939092; 227835647; 219570532; 154377598; 495577211; 941387373; 484088613; 153483587; 985464731; 649427575; 95217182; 825311755; 974559273; 332217377; 691775307; 713787960; 807643916; 601437997; 307189733; 416870973; 505366341; 964015118; 312477955; 150779455; 327779974; 612366315; 312802901; 897113267; 150021216; 863527594; 814008839; 96206996; 551437073; 908795568; 827087052; 565179602; 394682559; 989272027; 830830010; 778158965; 519323043; 423096842; 62728625; 542381516; 885963135; 849547406; 229136652; 80411291; 782355719; 486454622; 737646881; 468022605; 295615214; 283560683; 770553835; 642961277; 885635970; 92120198; 235210300; 198996690; 639808751; 488727741; 915804120; 765761331; 548415038; 269419593; 506733660; 712537102; 965867619; 547437437; 239738778; 24894528; 413013737; 413204118; 821439529; 310151141; 478066513; 354170399; 458009425; 589551259; 411229704; 488435910; 386217589; 703020251; 634337427; 409791403; 857652589; 823087444; 10792859; 463459162; 748195775; 924891440; 356567825; 173987539; 162069100; 555479034; 34299114; 494138058; 724171555; 751968496; 152756761; 725754099; 486412795; 978065974; 382914491; 652867614; 912106190; 644373146; 821119819; 401186403; 780239272; 703259082; 592129930; 839956086; 392517048; 302862578; 4202958; 556354926; 172331154; 675063187; 617894432; 305707039; 774371595; 366194315; 160964317; 944104077; 522814859; 345784715; 316498835; 840926624; 419799563; 200863888; 750027352; 579984398; 992818181; 105099840; 172760698; 288353491; 955534366; 961616277; 628029535; 779977522; 259273089; 302383727; 262292676; 469187699; 929106117; 301416520; 331216857; 263041463; 889593151; 663782352; 32703198; 607645779; 482073648; 949454102; 319437571; 760121969; 683532612; 764813576; 170396156; 840453955; 758879192; 382128093; 650812380; 443403703; 222043830; 701784268; 96959012; 380856183; 645482181; 879070201; 984212185; 987547942; 774950044; 744571855; 254067752; 626742781; 888725629; 992934995; 703628848; 800195717; 118063612; 61323368; 462780462; 79832285; 172941180; 770438425; 821383642; 504708824; 45866009; 139945967; 648178858; 774944009; 2290854; 340145240; 496835341; 251311895; 4014940; 309682075; 800264397; 311941786; 234759805; 292156367; 214581976; 608156970; 242092270; 462537137; 370547655; 47281654; 762044681; 45318250; 385415010; 31550598; 489056461; 942892597; 829627325; 41459462; 800223916; 645563231; 952797762; 253844153; 710725627; 234445175; 779468191; 612540609; 339936418; 886274682; 240578707; 607810886; 715797778; 366767916; 979914873; 384483358; 583381405; 871574190; 704787475; 240543561; 905094240; 580734156; 541428837; 806061442; 839176985; 630501646; 178266037; 236255770; 185563239; 611098694; 570594373; 71862607; 210015956; 950884496; 829796502; 543703918; 286896994; 633677691; 886551291; 979404013; 738728258; 253794042; 663212785; 559174449; 448424582; 517090892; 888834207; 574254484; 961863299; 323295496; 622936573; 46472058; 78287807; 875107966; 638163377; 346684215; 9263104; 990165992; 902284234; 274481740; 805695809; 672458663; 908783286; 65531672; 371304841; 161792504; 434364980; 900440081; 198855761; 373248848; 373189256; 708531671; 910812985; 196695467; 543097289; 318239319; 236489539; 403037290; 587760445; 215544422; 934976222; 443128086; 123995112; 343201889; 504000477; 637841283; 551200698; 8605913; 661152182; 414745296; 305983792; 747008903; 231495028; 43813556; 864259207; 906999308; 484276672; 262011104; 935806150; 398347619; 749145212; 238575016; 236182071; 496052592; 2918395; 260098390; 285763408; 345047467; 567945432; 285877496; 864165175; 452898767; 5472849; 32750441; 292911209; 132761940; 999180238; 76183694; 653606882; 913651064; 487942053; 181642367; 589656211; 74525157; 78893726; 419882564; 263985937; 328959797; 2801214; 58238074; 39594491; 274488803; 518930514; 36730028; 787140732; 536430970; 639005662; 155288663; 632162451; 729349495; 875644555; 375688525; 674221558; 904964211; 533957836; 935798560; 698532664; 624025322; 703240082; 181145974; 105270235; 485374538; 122103499; 166419326; 816440940; 372592950; 912678253; 375303042; 633313274; 875613607; 625266161; 644383146; 907260653; 630509859; 3664695; 15699693; 46927008; 160508324; 229490826; 509622211; 732768383; 80563664; 165670370; 787259783; 961702618; 3508396; 662581834; 983578185; 22454607; 957011870; 195051467; 703248341; 136180554; 143672365; 179935572; 194313556; 386575814; 539455002; 802371123; 551225485; 180646044; 2177733; 858205206; 805957222; 743872156; 115686623; 760536714; 273499229; 302794538; 943051520; 559934214; 234118829; 745304381; 703007443; 495552792; 595729163; 880004630; 444028443; 319238243; 736047233; 941899102; 735156551; 377419897; 281974908; 966269672; 283449197; 839911740; 5410528; 577639038; 684502268; 896760679; 264506405; 695278823; 888036793; 679552914; 960500501; 276878567; 451645825; 885172410; 749714322; 467023469; 547222190; 641309850; 941535577; 789917136; 33850681; 185017280; 636861250; 506973336; 979911627; 669689041; 548482880; 52911909; 15056346; 196242148; 497034770; 745463938; 83166201; 835827469; 55863867; 195282951; 46378517; 352105645; 562135566; 698594760; 988722550; 973020080; 168018070; 822949041; 894176898; 947057705; 256683109; 305580341; 963279900; 948349906; 320234188; 255821449; 318018386; 644687810; 110365825; 402496030; 333519274; 129364220; 11092815; 723257320; 495592184; 631309027; 880009188; 849935547; 464092293; 440137835; 229583781; 325272160; 252460281; 7925450; 286615879; 548063519; 681698591; 370939767; 787090109; 373501847; 784901333; 976655400; 969037023; 338817382; 557984004; 442955928; 224523477; 308233289; 385031063; 71538400; 751797223; 689076423; 355424952; 56645481; 16824821; 213266757; 974129263; 772637772; 638101616; 383289282; 690997561; 331296571; 400654523; 313556603; 76082353; 302591278; 564232560; 89510929; 491886698; 444877553; 157395646; 419934865; 484474219; 161649464; 281093131; 742786218; 524618137; 94122679; 852629817; 981980698; 26210962; 704089464; 587348353; 208623213; 151948789; 652687506; 743350743; 642809474; 697639577; 268715581; 223013805; 966616324; 165457371; 627085482; 688674127; 315330012; 611127023; 124560589; 646856942; 916705789; 926165619; 484359471; 947748845; 794631145; 111514400; 706294725; 217852618; 419051075; 493788174; 746392430; 241477982; 244284285; 412131589; 405906463; 161229615; 580308167; 983749128; 971703368; 901982613; 577986259; 623547041; 528053240; 307472792; 593443833; 320205639; 104252841; 625999972; 713641035; 145675459; 456392610; 392343285; 912837682; 710155571; 254531757; 257380464; 227833241; 874421715; 106425676; 892365521; 399628090; 454123833; 974115307; 361042589; 828960161; 13430404; 340220601; 584469476; 625275881; 663798829; 39170935; 718249402; 733511936; 18312224; 769849964; 182334389; 843432929; 998712293; 818439373; 139670982; 311856588; 585214175; 703946616; 708719769; 51518287; 202565097; 727864816; 351823905; 197407686; 305328983; 36991302; 712144578; 564967582; 386061421; 32379911; 404875066; 440537546; 208533688; 600445948; 658577900; 553932626; 751286527; 98360460; 521741871; 666432125; 239988898; 582319553; 556217651; 680458107; 48681980; 751208022; 113181054; 930278266; 142706301; 568930612; 558929952; 713586163; 255194722; 869472682; 452475170; 38394135; 978464772; 325897535; 641851056; 721468079; 756682349; 316689518; 733177541; 48039703; 835282705; 349026805; 921752074; 795032872; 950852447; 222812251; 83669459; 382256160; 236538630; 698285846; 426127580; 270837526; 701335351; 128538599; 268271576; 26653481; 739145792; 501421001; 575880540; 588656604; 292285650; 100809162; 516520849; 734841734; 620221489; 578229682; 1886363; 868418521; 229529468; 674556119; 487368543; 274908119; 565317382; 503490895; 498763871; 434118058; 202048033; 550274104; 115773412; 360794999; 573571486; 935446615; 830590025; 896045066; 695247867; 238199062; 262066940; 750665452; 833909504; 587559778; 163030207; 186329379; 868715944; 789451672; 448541550; 230624480; 963853823; 2883947; 513375703; 55707019; 366628270; 921499379; 802365401; 635490551; 807643846; 216166570; 987978292; 595407820; 118232324; 954152806; 89799231; 461173284; 693154341; 441026061; 542000805; 417419489; 925798481; 371773309; 241341162; 930871954; 616652399; 247440302; 378428018; 60539432; 210658390; 53017839; 629073753; 985364126; 970947909; 132100442; 819577283; 391218636; 47199857; 554195841; 157149007; 198581106; 567185780; 269960119; 379297520; 901221768; 279635365; 152152232; 702782438; 314760288; 669308942; 98808748; 557592456; 37997652; 911356891; 321844133; 927186779; 754187692; 826990335; 842530531; 307881668; 864903165; 745566228; 350033964; 37176350; 120937580; 504800822; 970914555; 468064942; 884894754; 827432623; 655268842; 824149707; 267137233; 376444107; 697669367; 497023341; 265964585; 274059656; 736142643; 39542051; 773066275; 601962983; 886489539; 464975908; 793927728; 358282689; 789163369; 687324285; 313744897; 57945227; 378476031; 989054139; 406230184; 132193368; 108120160; 162681552; 743575282; 869639420; 251197205; 640098922; 222981173; 713239299; 18329730; 861268598; 628377437; 978738018; 931013793; 226653929; 133213637; 614559577; 741040391; 828242595; 590112216; 230744959; 942282188; 16458030; 887832589; 770572104; 643716456; 507062062; 366395368; 177229063; 714555951; 280963750; 213312227; 769796387; 757334198; 955171085; 378260320; 727721109; 479198299; 720944930; 796909874; 783746303; 191248554; 343524679; 45961365; 423649900; 385409730; 771587366; 741333307; 23383200; 369866197; 965530449; 6180350; 904918337; 831387764; 118478783; 978099999; 956299431; 391384763; 412018417; 64414726; 779761465; 997691195; 735902755; 830762283; 98320621; 225795420; 913446888; 67698858; 762525780; 926177590; 715107954; 865225988; 144532007; 715735358; 429350917; 245767548; 494038144; 545271365; 298845170; 211391420; 758048017; 456376700; 705763254; 808926765; 224449051; 185244447; 649976475; 108640919; 185789919; 878400809; 764309454; 431918308; 977015446; 64999447; 995001287; 894858066; 510658032; 752139930; 451684991; 213749847; 555065171; 862859318; 241716797; 328905236; 397905208; 326501072; 858066532; 720888376; 591630177; 332871064; 493837579; 238523462; 315481760; 447580571; 308574787; 614195816; 379323307; 973614001; 644359838; 416913285; 665750735; 359860876; 57199542; 915647249; 595725390; 109639037; 745605518; 58716967; 542603627; 307988290; 677655425; 7792142; 33831841; 543312931; 292129146; 707967456; 644718710; 205511192; 763410504; 556755574; 957485705; 489288045; 553785613; 136958546; 940600193; 289276966; 71268704; 383329987; 404350687; 261848214; 514544828; 296481298; 651338752; 57817451; 311183765; 116832483; 739571022; 174991927; 240862125; 241667508; 665368089; 595301314; 799953201; 875687855; 143889597; 375140184; 380317752; 689116055; 955823867; 546702571; 255295869; 376718417; 23813433; 331443797; 328231276; 655193535; 874600009; 164072750; 355916405; 527279188; 267177353; 532445434; 368447684; 564608820; 580407020; 972805360; 205049401; 707340332; 872592723; 410856949; 45248952; 562122189; 501426967; 98884309; 872213852; 70760075; 856796943; 38925597; 141248556; 980789836; 345363490; 232037688; 388627111; 795662592; 529655799; 97223928; 907341273; 799069028; 540305609; 166026148; 72155212; 863518487; 984141170; 485215135; 858492811; 225707349; 34929090; 465589469; 402531366; 880555894; 445820754; 313118787; 765120794; 535619358; 968515105; 248490934; 561652734; 726796323; 298566871; 595550978; 289455360; 108896537; 338101408; 165160348; 330080735; 47415330; 784799001; 595243863; 207513278; 495981097; 88021848; 314283019; 804137627; 562605730; 776712272; 181405166; 632256513; 120833930; 590357072; 820985686; 268354169; 395166956; 49645517; 208638132; 214271934; 855229675; 228830826; 743368693; 247132575; 704081398; 562465429; 845937946; 410978599; 971062880; 510110685; 98205372; 462903466; 407285528; 584542020; 414531529; 318178836; 358579919; 929228046; 896276149; 64958837; 982803128; 996906056; 170928101; 417565216; 11404472; 660032101; 832912325; 130047737; 974522250; 706302133; 323342718; 474326956; 258803911; 91638016; 292544724; 954898686; 95963228; 422404987; 375219399; 785495108; 375221197; 754869574; 105172765; 635963052; 357588926; 209590306; 595602035; 170488820; 113594018; 151715544; 386151307; 120657271; 258288852; 192284020; 433201047; 322603664; 979920964; 193581294; 257456800; 931770146; 392765141; 157670266; 939958365; 350382357; 987259651; 405712574; 427642126; 636547836; 879382788; 697152615; 128634252; 437120957; 274374261; 339486994; 964997494; 733828623; 969091245; 92695216; 193571359; 1532690; 821798443; 636329728; 692774353; 976234995; 370233917; 943698691; 743487430; 528178055; 187812710; 507821419; 935014076; 605690001; 177125102; 298838724; 32052365; 833119048; 766145479; 508073842; 97028898; 842212037; 175815045; 544196273; 152967360; 442493635; 528143676; 221288243; 945079578; 431813259; 868796240; 64459937; 916512574; 939042485; 127532820; 714451101; 386839469; 552479123; 248987036; 337025316; 867697291; 847904381; 183940303; 49207826; 503372852; 319315531; 975686991; 703652120; 572419564; 884986310; 387566551; 231708921; 799099056; 402199547; 616568683; 588999110; 417483702; 807267918; 141925927; 262686484; 375698299; 323208772; 577354654; 542470092; 909922382; 376802368; 714502293; 386258217; 481459634; 927626285; 107678598; 554157798; 7934308; 848212950; 80996129; 392899332; 759239073; 582900183; 287054859; 802305193; 529155551; 442020888; 465099659; 186336261; 44954624; 694044427; 127806856; 640409227; 803728220; 946471200; 602198919; 450685535; 581564574; 482852732; 254064594; 373957508; 986117530; 442622365; 554471361; 359173776; 841254633; 195738361; 75886032; 788396695; 20428037; 93651515; 72358372; 136464916; 651723632; 563127125; 25490727; 173599858; 997501153; 987166235; 613192305; 435826972; 482466771; 205116129; 838999426; 200607887; 614489182; 264713778; 783627647; 990062426; 130910673; 607718694; 610377309; 573971785; 44762487; 835681954; 901110225; 810635240; 907611164; 18990065; 891266584; 443709899; 856361936; 333544319; 449821086; 391819344; 492571820; 569201419; 43290455; 715139587; 977360249; 911158090; 208880862; 120246831; 325012151; 933168271; 59056896; 452251614; 42677113; 329291183; 507672703; 828848904; 805074800; 927800487; 112119792; 671013909; 280205230; 304046225; 233620113; 82697693; 603202922; 431708257; 924598392; 771690178; 162826872; 556646653; 754736670; 691737621; 893738106; 828481698; 847417499; 711097283; 335748196; 648357347; 253025199; 401170055; 175724403; 176989383; 329081393; 821902026; 668264335; 931168239; 31404023; 264373266; 209633728; 281695773; 900023297; 304588401; 112910078; 535724287; 512675127; 211323872; 424940210; 940956705; 852411436; 720955844; 276896509; 775331342; 843433286; 93024939; 126634849; 237184412; 942062873; 791406974; 124699996; 579130417; 725044404; 366851505; 528133958; 337290560; 932310854; 734525480; 223812483; 834958217; 674476081; 818888091; 63761621; 254695498; 805113726; 840952636; 570419319; 487364464; 726128723; 796227572; 794725038; 950841452; 394301434; 791909502; 544663440; 399423788; 854629610; 723654707; 106580963; 952996021; 783544010; 533572122; 323567763; 219718785; 144002928; 348711; 268688938; 811586929; 599960972; 225211524; 527867956; 336262974; 92080553; 737311714; 196860926; 598253403; 190309270; 565120269; 465452917; 731607347; 272736106; 503430147; 212730386; 904925581; 720277894; 260795263; 210596187; 694790634; 624776087; 671663944; 847511013; 683925203; 636072522; 702102668; 447575011; 851687143; 883015212; 439516260; 16750807; 485427525; 888327453; 221465665; 909695686; 780635295; 932254232; 203119849; 320378411; 668426417; 763693420; 471444790; 241684027; 982953794; 960328452; 997520736; 913929868; 924579815; 777271518; 205492851; 221105073; 417782751; 117922847; 446445473; 501688424; 569325831; 353735051; 100947722; 552928046; 550517992; 409502063; 956136319; 35561079; 319349605; 285689093; 340466719; 699578802; 316307848; 485863505; 884645562; 228275908; 892506654; 31171149; 806590153; 796510306; 200902063; 738864517; 226777850; 111505909; 387592741; 865027458; 513133876; 910770118; 692239882; 659768857; 407995501; 132054630; 414570827; 767478608; 767363709; 237939981; 167125796; 457778291; 436383327; 247025420; 427653923; 687809316; 542568515; 258138862; 429591349; 831078643; 691563804; 6076712; 32832048; 651801971; 832436927; 383723073; 516565758; 663885240; 634741769; 156052531; 386969098; 896948673; 62889360; 806506987; 989947807; 959873038; 561568856; 907200468; 336886056; 399053830; 293312423; 883103631; 269935595; 847651833; 79170664; 547333795; 376080999; 593947268; 187421151; 264310614; 657721321; 621107862; 493669992; 764718750; 232810153; 752127194; 342901750; 357453511; 698109784; 859753082; 489914655; 955400174; 519959228; 246128707; 402468393; 685729119; 69856467; 367165748; 138369385; 562354182; 262904273; 10199255; 477488697; 132021531; 739029924; 779281102; 63612578; 626669690; 897048978; 419058738; 601638816; 744011098; 576599564; 812800558; 561703165; 39063056; 479380867; 929458705; 451396871; 307851439; 13291917; 491960891; 720528393; 408003208; 948856978; 216061878; 45363753; 431877031; 631572742; 486743468; 754614879; 938257294; 263274600; 103073283; 624897259; 634425191; 772325148; 827981337; 239509894; 408247025; 451882216; 474576441; 35104984; 293481671; 932372206; 416207244; 423187228; 886949683; 424331940; 448827726; 338304841; 675688993; 682176060; 474347768; 874258027; 680756980; 872130223; 109959412; 229729139; 354010016; 205799359; 438538723; 110254676; 371094555; 291120096; 450255246; 641644943; 850492225; 298814161; 988770042; 304274002; 716843243; 866866936; 974204375; 806858506; 826482270; 794173391; 878088530; 856980379; 908736049; 487913784; 142531387; 358480247; 727393711; 609738411; 426290335; 112548255; 211014775; 209912135; 41133458; 35264820; 743422796; 164235339; 13758379; 953981087; 196733812; 701044552; 712119106; 871012964; 380621390; 426359759; 218396581; 696874394; 704436303; 441930125; 222108652; 317952760; 961443205; 630423306; 258285433; 562451173; 982711292; 810991713; 683327677; 493663435; 314871021; 716089855; 758511951; 406227696; 67761985; 651785462; 185683564; 263942043; 266487354; 877115452; 279581012; 564191654; 188659276; 565082849; 412460785; 644728891; 155611384; 947081884; 126227509; 300457549; 909107582; 734620264; 516285455; 475335700; 516547497; 22021010; 371484309; 13475656; 271775417; 240483396; 493507914; 251423575; 342383990; 495373032; 5646399; 559212030; 430495522; 746456282; 354419228; 308384321; 350513233; 537447859; 500997406; 112435378; 667185557; 358906711; 900407852; 325662938; 203365486; 287355104; 370227382; 948358472; 987413314; 632990611; 657630885; 985825811; 629071056; 392255905; 469519912; 152864550; 116324934; 896431336; 691886714; 220560258; 425470610; 126003363; 84407098; 192485033; 932678841; 225344184; 93908835; 921156465; 124830866; 997347540; 761390909; 182793301; 454895537; 551960614; 893629668; 763497900; 535489631; 901662949; 954715266; 655343788; 677661529; 695166119; 560716517; 603966178; 145107468; 621524376; 814733835; 621754418; 253617223; 326101572; 315225228; 682773281; 160514706; 363140981; 374193828; 222509896; 750780404; 673939334; 44143854; 94775450; 600235672; 68006694; 595204676; 543329678; 81916148; 500736663; 129304543; 59061803; 499771112; 184890948; 190205673; 386598581; 295062338; 420816574; 37465154; 663297757; 464682612; 424405978; 758902354; 474916087; 933979147; 818096702; 225532561; 194927230; 314379252; 348071739; 87576268; 404194126; 267546512; 414736173; 617817923; 523619556; 478369149; 839782358; 359701547; 290668765; 703427987; 355012053; 859392856; 687592704; 176163227; 966835656; 612730629; 850873501; 190900846; 1891782; 524348898; 843974712; 211926064; 711720847; 633514798; 651269086; 410030874; 561395294; 146011348; 942009467; 416449875; 442660810; 181053991; 275742831; 652219209; 587357577; 150583521; 175388851; 345735968; 870165551; 389517571; 417320093; 646833144; 39564564; 769306564; 847798749; 970327769; 148952539; 609517647; 78626713; 602969360; 912406833; 35184725; 407763477; 669360706; 513627859; 509484005; 814053844; 638591226; 239576871; 464961419; 859658791; 651839026; 871909042; 703465773; 830668544; 625480185; 54495912; 788286887; 286583073; 976295257; 225449454; 948681774; 443799554; 408335956; 623171282; 415363920; 467324352; 637361797; 41845785; 118858588; 905230900; 564201581; 478525902; 642649869; 809525144; 243304164; 370453202; 646373885; 791607163; 353127986; 87017951; 734063559; 411032701; 510185216; 60574322; 785080230; 927780460; 754693760; 272295819; 723996102; 398311808; 989380209; 600664571; 88397500; 625587845; 757337620; 600716059; 599453541; 48968802; 717154486; 160413947; 891968562; 233147788; 397846850; 851156951; 566889001; 100689184; 936478328; 797168865; 112635655; 988527615; 899075102; 794410288; 946657162; 550117697; 16711288; 745502969; 54751684; 208385516; 496782678; 6378482; 127938444; 803582092; 150282643; 472657363; 733417184; 759187749; 771343629; 453959644; 430864872; 882857389; 61117358; 187677199; 196620473; 924991771; 49630299; 79319450; 58320803; 811931935; 225293095; 961932961; 993014260; 146275865; 211750788; 141385755; 770732726; 65941134; 706252289; 43959019; 160326808; 763935726; 537542646; 455346968; 461727655; 184611323; 527313282; 396804095; 738275751; 847313622; 948534327; 470864984; 25156089; 81392770; 819635414; 433728046; 144133770; 920310188; 738824642; 866233095; 921653029; 901746821; 976566935; 563071924; 120697329; 583292608; 933985142; 142641853; 707653767; 489574686; 915653857; 543162187; 617929391; 839854517; 973096839; 901497380; 741758313; 477510583; 915075561; 997372955; 508054407; 841129465; 630539801; 314899931; 561387300; 265990603; 14274272; 157883278; 364268551; 261234686; 394755980; 541905605; 389962084; 742985486; 355539146; 636431347; 673422000; 192057606; 985241812; 831606645; 323375306; 268007203; 905243081; 52617681; 573858557; 752330170; 657868708; 293933037; 223594690; 490177861; 612473742; 148821926; 58392760; 825680570; 175510101; 519072272; 904529413; 523252638; 622737136; 33796199; 981217879; 331716646; 370274270; 125522874; 297759193; 900818297; 188037002; 431699080; 843119457; 541810826; 270548794; 973680675; 96626912; 56282126; 381033187; 725758999; 511556944; 444079168; 778786714; 497731571; 666381886; 115999073; 687550808; 425091007; 38990048; 459250090; 113048245; 305012308; 470004084; 544426322; 521937044; 626223896; 339654645; 35654721; 669625512; 679733418; 512857064; 599635822; 774362890; 747016601; 939787033; 304356189; 61159262; 205499617; 42001673; 360718450; 719619452; 281089549; 911484458; 533004272; 72386455; 178136088; 642393312; 681808155; 723069963; 887977296; 163133222; 380089394; 148275063; 877008944; 824766232; 714021273; 516302020; 793928247; 481327365; 334567959; 423445627; 806623044; 953655596; 14065101; 371252093; 386139764; 898270893; 517755493; 249149395; 655755150; 519952720; 491777117; 796647443; 404478568; 851005565; 349242215; 973522156; 699618675; 164158207; 134038287; 686754625; 562714158; 79731415; 460347518; 534499456; 743767373; 774702764; 295045999; 455165743; 99120201; 344979336; 944351340; 121307847; 700239121; 371106627; 802510563; 850749961; 214288743; 160938373; 861653320; 451705561; 947571976; 220909594; 425801429; 747743094; 72356034; 265926179; 19199909; 275908414; 749001187; 967114232; 661614699; 334248838; 600158563; 326656177; 967108898; 344242533; 289540119; 902119423; 288790031; 726253927; 783854038; 397864115; 334226459; 611851006; 410117386; 73297332; 652302941; 978439712; 899070495; 143873593; 916563119; 912036141; 551666623; 23809432; 49873486; 322957604; 447387940; 968328567; 693172442; 710939025; 59387796; 406074838; 574527647; 649444778; 967610412; 387340105; 265175917; 558285840; 358861257; 689552937; 635803044; 348262385; 180328739; 946917215; 786487668; 582308299; 633229103; 214061194; 155209472; 381314344; 673018610; 967006291; 963991669; 759351162; 663025199; 672682769; 527509032; 603306862; 159648545; 404879826; 815401195; 698039461; 439353284; 667496857; 59980597; 934601845; 647355926; 194635046; 520329193; 234858707; 696394106; 447099840; 236084788; 741940097; 66071739; 333905813; 311346847; 644537586; 497092124; 347530796; 546018082; 798852350; 573216603; 726528025; 176023366; 404222370; 602390702; 819439551; 912128174; 266327760; 845241323; 591440729; 452414445; 729829912; 265636544; 966213428; 675912053; 44336523; 764380926; 634801842; 321842824; 25799519; 732972498; 463836137; 802604609; 645393705; 622224703; 50769918; 978921986; 952469435; 144685679; 639931826; 363846651; 238431255; 251477467; 800311621; 354068641; 563795406; 766744495; 786539066; 759229923; 862359618; 937907376; 846531304; 281321793; 158533597; 641852703; 956115567; 180758139; 370286763; 641534736; 330244002; 364769202; 189250198; 344523794; 50425702; 888177386; 4144815; 39263721; 767176840; 65062159; 448424742; 816460173; 371906214; 672564225; 491452664; 583906590; 742790472; 317756115; 959378306; 687183102; 93799278; 712677415; 47230610; 870730357; 641841558; 985181744; 207766310; 473377581; 953867832; 873534481; 424054657; 218357420; 489960398; 46376143; 656381227; 491006218; 940258407; 882218991; 639613783; 806211473; 11272344; 511214862; 719160497; 122553512; 343684464; 229783308; 245131914; 922431825; 456315985; 931899094; 987633945; 21981495; 296999037; 226376658; 574518781; 678681355; 949456264; 111447694; 37810589; 773801808; 371488005; 663554740; 198082193; 201913472; 853177769; 526291953; 471622984; 568351086; 114604701; 990067011; 957948439; 185602036; 285814266; 380477347; 450486296; 357716969; 770704096; 527524998; 272263555; 192386529; 668941030; 582376850; 807533510; 232698175; 208225109; 528093328; 380327528; 875957400; 856721425; 567320092; 140167172; 111312331; 882274370; 325844268; 417562397; 691817927; 589295667; 704660467; 692990959; 847093212; 382085392; 133209757; 974308956; 515651534; 53452380; 782181343; 651130190; 481400685; 457202460; 57774375; 200795668; 205520849; 401002981; 135119115; 423036096; 392371803; 745604673; 178348777; 965654400; 471250961; 705076072; 226545755; 131675127; 89118592; 561530346; 111420977; 788480146; 360600984; 880526132; 116720867; 924356194; 852977914; 520401761; 29987231; 654613487; 85333479; 689407513; 848048785; 495212763; 47112295; 764244987; 800364611; 204057160; 715329745; 981606051; 708777512; 961194380; 781562061; 840221360; 349290197; 893482026; 278177817; 511770756; 239578576; 460817467; 295023894; 90130210; 734325785; 738261950; 484410745; 591139251; 207429271; 529137997; 33379445; 696281680; 834729647; 393927454; 366366315; 417485863; 454455727; 926928521; 337967342; 733596178; 646060709; 121941044; 891438943; 162957710; 769451022; 21714015; 463324960; 778643247; 694601077; 517434273; 753491974; 440368241; 291097727; 754324982; 932644380; 945720753; 504573513; 413019921; 490841710; 721854867; 857985960; 439408572; 706554284; 56874718; 784163326; 709811136; 502901492; 322414340; 589037580; 220077169; 770378102; 339387201; 151258623; 489906356; 674983662; 53785518; 687724056; 139509225; 694509727; 573036610; 878352757; 745423666; 484011725; 543265643; 639858284; 973594854; 950219043; 649109976; 505333301; 303045276; 369846903; 490593262; 338808024; 606841703; 576000177; 507407788; 863577833; 594235814; 883340541; 397357863; 665045157; 679057623; 967068678; 153176947; 851949599; 674683131; 70063117; 633892267; 182222343; 380971579; 700754812; 595637943; 643172489; 618581184; 952496533; 24414398; 329468785; 180998970; 217466443; 620173167; 541787068; 972237781; 358904055; 527053260; 999067793; 503568617; 998601816; 763802925; 386345379; 578974443; 933429597; 936742647; 79354351; 281460937; 769146704; 875531807; 309444046; 420210685; 761813642; 787037967; 79337549; 420222635; 827083818; 645862952; 529851802; 916278843; 423443727; 864250716; 241841336; 361692275; 499590268; 547507923; 980789910; 218142558; 506880171; 638398651; 956614798; 317298138; 264511288; 624520946; 355301476; 427990870; 213492919; 407596281; 588052435; 511812170; 733017120; 731074092; 612809753; 163406548; 287945191; 914645414; 233439113; 733240348; 317366568; 690817672; 434229962; 784851770; 488158715; 329812462; 816034479; 235464015; 480986860; 746730495; 326587445; 407587130; 868241354; 999681351; 59638102; 195814973; 634363797; 574665349; 166091056; 825221483; 78310006; 183126816; 476745249; 245740804; 139233000; 522295560; 711498495; 333215572; 341769974; 438648640; 373376152; 412650513; 756060417; 857613200; 846701223; 525834583; 461505844; 595856986; 801443328; 309951105; 434397408; 623691225; 349592507; 566475983; 795818425; 402118701; 5657466; 67644717; 158688772; 22887247; 508006197; 528712867; 224941202; 719170196; 271700379; 622258884; 363608887; 525161922; 852193174; 668876605; 902115121; 805295698; 55310320; 729060417; 788740098; 502207389; 750893446; 856809665; 706138306; 662478671; 306177051; 640975971; 249335681; 854040659; 829705226; 808892414; 922183589; 295534604; 619568649; 854450401; 42383252; 94691042; 800708868; 64452472; 453991593; 698668561; 445605713; 952640987; 331161356; 911367067; 384077272; 618919896; 160460273; 466688497; 414351918; 277457416; 691655079; 19749544; 514923249; 853022799; 28421378; 743744211; 216746387; 530455579; 604647888; 968230516; 812059746; 280398541; 450326125; 997515625; 38187680; 860075686; 798490237; 573855826; 909004489; 795965017; 92672900; 748059561; 809609676; 48689739; 672524606; 564119980; 108453996; 418006412; 450724276; 40330154; 436501271; 389000967; 373478579; 88841076; 755739607; 819459288; 902913483; 113373395; 662459604; 915574506; 75507248; 292384579; 283376087; 757651446; 753681131; 618874345; 486788659; 39565227; 88489282; 897496655; 790011166; 163342846; 136085384; 703279666; 203958469; 447381723; 492508228; 57926236; 821403679; 691171615; 616700588; 968656521; 982016538; 376723780; 847043599; 664005239; 192635347; 52776465; 247493059; 665903753; 742931430; 943059412; 670712571; 13598144; 8217306; 227917131; 65604644; 31374687; 881574637; 285048735; 974393217; 343714759; 775028978; 527276896; 193962226; 256040320; 199187634; 829899111; 475820546; 862592353; 301449265; 833950401; 199710728; 746116482; 446113244; 162017984; 129615795; 933751984; 11710373; 62765247; 268679094; 99536874; 795865484; 136888643; 947914449; 972727350; 860211856; 552368746; 768734683; 729557231; 72064449; 375163558; 147095859; 487777602; 881870701; 125409092; 867021157; 280637408; 253432639; 459285908; 745774645; 39716963; 535710978; 7209648; 289269703; 558376831; 16106495; 272494196; 944920830; 803985197; 101507307; 889720027; 944197228; 315528280; 317487307; 419584353; 280993115; 432280189; 873545048; 329153215; 962173490; 48841565; 495571623; 378990849; 994341021; 660783344; 214313849; 234571679; 362441526; 110995240; 477512643; 738083018; 357572846; 294262074; 718797708; 182209179; 689358608; 551662994; 571938960; 190652147; 545316838; 490025218; 462350500; 101468617; 676340777; 726179527; 607502904; 844000668; 298965525; 590469843; 226155806; 116953820; 116998942; 104122097; 104487899; 65426904; 443051248; 92003332; 68858403; 433582222; 810854467; 50686718; 571737246; 721249322; 921239269; 596430550; 476056155; 982860858; 613212695; 529134997; 505772630; 207285061; 862842968; 486152896; 511646494; 738739230; 13285452; 871331129; 935574581; 804310633; 446656762; 328134742; 299952704; 186526901; 348194917; 133185747; 923294750; 701943823; 855577123; 926918506; 296065438; 413810540; 156194099; 200004471; 803620627; 866255008; 808726777; 415956949; 35572301; 68781066; 985957330; 571580939; 225161957; 925637195; 418495702; 390877191; 573315063; 42792955; 19345702; 166663377; 201138625; 899595907; 102406553; 944624200; 165121507; 180230275; 768230028; 422667792; 408083076; 266942880; 746436764; 335205169; 620804698; 376732397; 707132576; 605264459; 160915341; 364004752; 13413279; 863501822; 84906095; 803838719; 488749085; 208406273; 323722456; 788741897; 878438642; 967153257; 194837067; 526427675; 314262130; 870756031; 512407368; 902616892; 210378769; 54341349; 978695069; 409673816; 551287398; 165554073; 114728939; 645923842; 577877974; 349378738; 73432834; 687380456; 849503538; 553137830; 826515250; 904517968; 364518623; 550871816; 323363347; 41835029; 86624316; 576608778; 79071063; 382485476; 326977285; 187447063; 832459670; 460361731; 426489102; 825638219; 986860155; 907450625; 275778231; 861849673; 482280182; 614614761; 812157048; 410286797; 60533055; 391276014; 50248856; 317996432; 687132674; 748915709; 627169549; 83896975; 673067725; 517702363; 515333953; 3415098; 342455338; 721668145; 799350668; 291778073; 380846052; 850879184; 984229944; 39158197; 664439624; 738520892; 487095366; 972832628; 838126220; 939605256; 963566373; 503360784; 350618864; 526543544; 14644830; 776405763; 756090577; 5621829; 240332637; 463377888; 689375299; 20990444; 100466109; 693520768; 233823440; 769739277; 629215634; 333669999; 320390374; 175653607; 756667350; 31753226; 181549233; 884441976; 892331084; 204481552; 830191988; 518607254; 120525434; 166385263; 544085312; 305125716; 679323232; 537378885; 349752565; 560535169; 988846448; 313857752; 198846908; 346387960; 814657444; 773440278; 562432389; 212772637; 825787427; 979233845; 154018625; 744934448; 341697190; 481708096; 339513709; 504359540; 954733057; 605941971; 305727819; 141315095; 528589138; 594146400; 481660900; 844303256; 876098588; 263045463; 622580836; 987543881; 835027350; 439265193; 964311387; 325700901; 338165073; 350682937; 444994187; 71526298; 74838903; 72988556; 258285919; 106695270; 541692490; 584706032; 430460632; 133375097; 92132590; 60740798; 699253824; 665384925; 231639982; 476571547; 928210072; 283428460; 519482620; 858548699; 687776; 629706538; 54539233; 698310010; 638417603; 351626256; 142324083; 306555781; 448066908; 14419330; 465119255; 955939266; 668222500; 939209854; 416698882; 451295375; 795513769; 242017417; 84828103; 250275598; 269514339; 55045455; 162050485; 432149934; 821864212; 290597998; 694870012; 700735484; 377198510; 204538040; 167977427; 982743118; 578243366; 692949521; 590881254; 97386928; 121343798; 591459487; 579025782; 947828893; 624926048; 584766018; 191554785; 777216386; 980056986; 245863015; 241656510; 429601207; 500903056; 145652227; 162526691; 617892768; 211960034; 129168150; 52231692; 901978433; 584987032; 127825300; 434285309; 755788407; 158430426; 567944956; 192855315; 309858535; 94046680; 492074159; 308580880; 104962590; 974216651; 510491431; 693235649; 35921107; 851661572; 450609080; 423366133; 193784020; 118949063; 427497670; 572715320; 358553594; 539060928; 508342549; 653903459; 867209718; 100012091; 172873070; 87436492; 641043785; 885700856; 144077930; 713416564; 291638948; 263671285; 104814716; 645267868; 31623645; 618227076; 285614954; 445305784; 345112342; 425302521; 315253993; 367560504; 616391687; 93385879; 18106302; 579863032; 76923769; 908311834; 932592222; 367916585; 590030877; 889689025; 51649381; 890262591; 307802705; 803776177; 396774968; 932914272; 308475537; 577215575; 937132313; 893282439; 991031329; 806264143; 295042344; 540523909; 99881343; 434583570; 948086478; 570448833; 831704018; 97330343; 701001346; 765686930; 557016004; 3276074; 112436319; 314572622; 303484619; 792991341; 209755836; 650199331; 475490512; 423327307; 935879083; 241887104; 164765541; 814076486; 789699463; 66928152; 860872568; 849063055; 569772716; 669157053; 574060129; 144219531; 687913062; 716246678; 404115736; 470215592; 298862383; 657194579; 627492385; 302717903; 997852738; 39535240; 303368956; 8476049; 115773266; 509007738; 545538945; 258792745; 183993183; 26841641; 70266556; 387283134; 105600046; 812107995; 201892616; 975675352; 431857244; 615363017; 676548161; 289592291; 291982496; 358763158; 983083883; 591835330; 362386750; 692005681; 195764808; 489456007; 138363188; 855406699; 639455966; 421268944; 673739089; 191376074; 821171149; 536994162; 27242880; 290648097; 399148814; 288148654; 949401053; 560752144; 467367408; 854556514; 898984771; 150141309; 62663322; 627124092; 831073106; 173522410; 604073329; 660919046; 713083857; 962228989; 768885864; 596689567; 84491191; 841034162; 484861819; 543104168; 144159786; 717826243; 463710954; 946455624; 770882640; 513425276; 814912788; 428817912; 67333524; 125460719; 823251164; 668467137; 711556055; 122743415; 719560407; 660337464; 668446244; 558120018; 643249869; 784961237; 961153503; 414920490; 815917631; 381176201; 22002379; 177624486; 328090936; 755290535; 493853820; 296607680; 852855650; 181141453; 257171346; 123083607; 950154918; 733558557; 315859492; 191731695; 713104267; 581517878; 588763379; 407710247; 771345120; 800307399; 737244346; 605976130; 789853668; 540427777; 350566360; 198288959; 167438958; 152433315; 343397166; 452360979; 275421035; 988075415; 376048232; 14553453; 360339468; 11599522; 188918343; 863546404; 723423076; 827012152; 885774126; 798920062; 739356455; 368573783; 181945884; 429724467; 535135683; 702200116; 934603456; 718147890; 480908518; 963600778; 636873648; 432387080; 965122543; 479118773; 543707694; 879506194; 529734768; 182870164; 981558962; 974716137; 513145214; 473918010; 377908440; 784216833; 276285981; 639075369; 530006545; 529408522; 310934743; 651213133; 674572005; 14972950; 489647254; 993577943; 816174305; 577837752; 647243740; 901596664; 337821325; 907284103; 476727089; 121267579; 542318914; 64674771; 844361878; 678625640; 900760316; 777645772; 107081946; 214912322; 190333680; 151576365; 433841038; 41852337; 527356397; 451020079; 298449236; 986508754; 244350520; 75965330; 370610805; 340298059; 804157386; 747113251; 420571981; 766048584; 335922955; 586493714; 467765347; 209914802; 992643952; 194336239; 989062843; 151540952; 703374264; 33436243; 998645728; 933472618; 204181077; 203294559; 958243292; 158454184; 112704627; 162360865; 144858168; 11219716; 611733797; 360812352; 638695871; 748344527; 176606185; 127995846; 711644136; 970790848; 880290; 520737080; 14802214; 328958747; 317367000; 976199007; 439308538; 257083836; 571073631; 170563752; 220696746; 401872378; 155183129; 619948406; 949869706; 309690127; 904243040; 786730226; 119581966; 632592864; 455622088; 619701081; 82270130; 3403280; 635503783; 695987152; 502835031; 343255074; 172864627; 436044040; 825329721; 211093919; 471177523; 747749888; 43211207; 582010423; 188938312; 989339017; 780204515; 940256803; 113212106; 249278578; 281939580; 937152915; 105203407; 629106519; 281828653; 857852801; 199326797; 412402076; 319816897; 719987646; 916952792; 911515639; 896648127; 496630128; 428814725; 100043089; 287543423; 84224179; 73277487; 997407970; 658750817; 701808187; 61274987; 223061343; 290857724; 682073121; 159830738; 724225067; 923392344; 920112685; 749788284; 999517624; 573337638; 555615988; 712072226; 710351580; 160292078; 459349735; 970161399; 207647289; 852648271; 133769707; 691813122; 324791152; 805394002; 267730315; 690013652; 341296316; 848022938; 122496863; 622921341; 618838133; 601809359; 479002298; 17629014; 687212373; 589217013; 68734406; 211169552; 461442185; 756252882; 585311497; 205932086; 222191955; 366310258; 766315767; 989212677; 184949386; 492117076; 185891713; 589520010; 573318345; 347130224; 982181496; 430127483; 303605556; 727280725; 327531525; 151309364; 916418990; 32127305; 373239495; 938005147; 914548942; 293633809; 96855583; 738178797; 646612965; 970662166; 929587951; 560945317; 745776108; 507395116; 105364299; 350333938; 163874432; 309695545; 687991734; 164221759; 50418195; 609248183; 970856871; 624766204; 592256165; 775567664; 245029287; 775941178; 713743658; 20985339; 984884495; 678143259; 960151501; 828387416; 667591587; 671791532; 227746225; 664660056; 264242677; 940783206; 985582228; 187415692; 381627586; 969654789; 903657937; 154869844; 775802543; 774696001; 895525340; 775961002; 731481897; 791440612; 199304961; 858544212; 928098004; 742330249; 620297642; 394661439; 226765385; 365488298; 519039365; 71650774; 611817535; 36919638; 155336296; 292583160; 943150044; 608100326; 984552676; 125428844; 637362066; 639605163; 609464468; 561583133; 870501455; 8054203; 892852442; 654428045; 880482; 814614041; 359769163; 367229115; 607298987; 156801509; 387937093; 979171469; 812966511; 49777957; 406581355; 673560235; 455355089; 710883921; 796325574; 588101685; 701954394; 621205082; 527526420; 762320782; 420756512; 848809205; 968800016; 972278784; 979670915; 674277165; 743415345; 34180043; 446249159; 593909056; 229651433; 671008697; 233820763; 797634701; 733622626; 298341290; 971151496; 656921347; 549064750; 415738707; 399261211; 8715673; 91546605; 787853477; 465999631; 618626307; 79701527; 869266430; 117548369; 82831802; 965172263; 224277235; 35770553; 696353095; 972276108; 175553069; 882318924; 444598737; 531813455; 268980197; 192951565; 239993441; 634087129; 751689896; 822473190; 489395906; 722741069; 63252259; 753726456; 438893336; 914587427; 578225212; 194920978; 289058669; 267151437; 228556647; 904249191; 771636604; 387686416; 729470508; 378916561; 930707196; 443823180; 574973802; 714346625; 277537854; 300180056; 656705636; 730862008; 125853451; 588095764; 920119971; 484214781; 811910574; 757282318; 787335449; 985225903; 529899016; 993271311; 969842032; 390910994; 148976571; 385906962; 839649736; 790809346; 341607322; 293005025; 415151521; 776289020; 919275485; 537902612; 240911117; 262995596; 67480147; 985555335; 921214980; 268958446; 546352035; 50820626; 162413440; 89149474; 795729405; 703625104; 735075479; 42047801; 715615895; 517798495; 41231495; 509001569; 103025441; 170065624; 792095650; 551001852; 884400366; 871421926; 244738280; 904986275; 657130700; 74755928; 844038355; 473077699; 587607565; 63658005; 567557782; 561655606; 232421260; 783645792; 818042541; 47841624; 890494230; 213533201; 337091468; 620507479; 288253178; 484862019; 929066068; 801406447; 965656822; 334810684; 411075839; 995739987; 745368892; 143264184; 200007309; 815246710; 283080260; 78565033; 520098573; 512423934; 804698036; 251324438; 397505231; 62007505; 161309578; 529067927; 982737111; 63413751; 632695702; 170242015; 263419908; 512021064; 525530786; 82570014; 858295157; 884883541; 539114298; 196681928; 406743233; 66964976; 667592480; 78660121; 917946661; 296628182; 989193271; 667325549; 463148849; 820632014; 873549891; 485837326; 697864224; 584087944; 895853629; 423008773; 668495721; 621720503; 170232037; 280788912; 484298334; 192723152; 20640839; 778015589; 786642863; 912874145; 753823122; 938234615; 307523470; 430084898; 394383456; 501743941; 126757665; 815064833; 998285807; 699446347; 295454762; 823848881; 119352567; 895070361; 451833165; 110604359; 883757456; 165432111; 982718510; 677479740; 162447568; 566551955; 512152210; 937615536; 768850697; 562083818; 64865331; 738910941; 989247257; 308200587; 635692634; 35672539; 979966732; 582697918; 224828336; 858634417; 329602688; 953250619; 172662899; 427374187; 594415152; 746527781; 616704998; 753455480; 526309979; 361685041; 998927585; 305315492; 295049433; 374913294; 391371245; 371871074; 91709520; 411272772; 591255394; 573129020; 174085894; 587765856; 738877600; 217747592; 249633190; 772814249; 777933029; 188828614; 287932191; 794337982; 239683449; 22106593; 465274385; 928336546; 159126827; 465148166; 132336925; 810993250; 515187143; 175367011; 279204864; 922245546; 585442406; 456983930; 682814062; 688763681; 923038350; 126592455; 403103929; 673879706; 421360996; 738083155; 808654652; 111173035; 804050219; 351710327; 6650114; 772483288; 791627820; 619800876; 846962011; 988422880; 691147461; 897305234; 475188837; 222690495; 587506865; 182226103; 438517990; 744158205; 725436137; 643978441; 22462736; 349297234; 716989413; 936028930; 293225798; 619035848; 486470501; 265054812; 722400087; 719657702; 561243826; 632890028; 728482494; 592614527; 694838744; 241795547; 287453287; 467956706; 147266668; 51606369; 467762157; 192100089; 397457409; 89383013; 952264019; 505825508; 512787132; 486925989; 11852191; 881322981; 996616140; 642498995; 367283192; 378309710; 493000337; 833416308; 132176480; 96347124; 907140763; 630373160; 583438791; 933937365; 134459317; 756083569; 69682323; 435409358; 952622876; 584798221; 264929198; 741529253; 844639525; 803511406; 76562215; 674561633; 932016794; 653867987; 978027719; 617395733; 182770712; 648063459; 68716849; 163962141; 839387089; 41717636; 983099574; 339512166; 675718378; 46239149; 833945047; 939936995; 103188854; 911034054; 848277452; 756367677; 881883725; 291958951; 185515072; 465508298; 565809603; 641193509; 669251157; 831093785; 472395653; 578964166; 87245804; 599435128; 87892882; 822648652; 747048899; 752906253; 844680639; 662005529; 280932634; 31656978; 669401540; 111504030; 730232174; 849340436; 415840331; 312066634; 539415368; 291117172; 185601161; 640370494; 820077441; 297799327; 766896620; 991611185; 791067222; 750287474; 365817783; 93366515; 611800072; 327972303; 565936771; 966230219; 343149061; 976195696; 788067228; 841363342; 514724669; 942722108; 291822952; 443683170; 772729065; 518308624; 745407718; 730814848; 543236336; 600934459; 743334024; 155310076; 810000986; 141915146; 630946041; 141910466; 261910966; 994225799; 473130729; 897894094; 985107831; 502557044; 47889593; 408780404; 679172150; 654046547; 84834330; 265388432; 700570984; 368269004; 994268687; 103496715; 103752752; 27765388; 448521384; 896917140; 412648771; 92830922; 991836019; 752765323; 655219085; 150841473; 139142450; 719633743; 73663777; 872140779; 989060922; 308246754; 361163372; 463375164; 36869068; 497734837; 918279385; 966663343; 400190947; 829939329; 410325756; 510042500; 816360557; 523865982; 214201112; 910712884; 648528192; 863623847; 540470249; 139764597; 729108395; 908335106; 542500820; 184858420; 785178867; 80774172; 97988850; 573527913; 797247265; 703891684; 214613635; 26241811; 908422276; 661895730; 914490792; 764149451; 205072192; 163364341; 480401747; 742605543; 456630320; 864675966; 262035135; 339874929; 152105747; 679792434; 879308424; 867832566; 833346862; 43680313; 211813497; 535855142; 665541460; 202750346; 570077765; 529209562; 646493598; 180016312; 81332123; 822339905; 66386160; 630457309; 522863168; 989217971; 690480371; 138613851; 963392165; 745645412; 122026458; 907883042; 130643538; 678539411; 907734277; 828140541; 150614908; 917722135; 927284102; 216160246; 911765241; 938623977; 557007236; 680246392; 465121822; 984379431; 826163238; 651398034; 828057408; 137533965; 867141882; 234458103; 585292046; 297811700; 553205963; 943740380; 66806084; 795623175; 783171704; 658336483; 825879862; 885166675; 107956989; 853394189; 672116110; 310078773; 148910275; 472014403; 125306352; 847686569; 165688801; 814418028; 363102171; 923443946; 565984560; 841426564; 75842904; 910322810; 172382651; 645740023; 702458635; 913987062; 308033109; 955162441; 347287800; 498454021; 331159224; 492142815; 727318556; 198003685; 52641178; 631663931; 339830307; 321917869; 135882209; 525394405; 889154983; 165136223; 518201575; 395040447; 792788527; 989232247; 110884291; 360347893; 305362482; 400425846; 462197560; 475832418; 618949391; 420406777; 171728123; 514754411; 565942818; 252186378; 864243663; 739103650; 668629628; 884600870; 756970637; 44679581; 489514805; 741822758; 274976077; 562209816; 843362382; 939723823; 440994318; 127931341; 87746840; 862969363; 615787653; 186484142; 597387329; 848434330; 803796983; 975117807; 802927869; 180624217; 894986548; 605079336; 955044247; 816631921; 216094178; 729568914; 939979623; 137337798; 8327164; 462845226; 727145345; 709232617; 297554595; 459232799; 346565155; 316085533; 322121627; 76430431; 808934278; 143247719; 241274008; 299978880; 778275665; 342367482; 976025990; 530849868; 421220401; 847773028; 885935807; 578923463; 936697619; 185817342; 418749201; 119149074; 229143491; 975947398; 819853562; 770194242; 745467516; 854211176; 137864901; 828102534; 921170012; 823869361; 348286015; 159257234; 991489646; 17382860; 785087485; 101123299; 727510197; 366534301; 124921766; 598480980; 334913704; 501133245; 600478007; 763920920; 428045662; 474787286; 383150894; 181143009; 788443943; 46616819; 883227871; 853531864; 114403766; 920460168; 313145473; 938209699; 838538158; 460379823; 829985017; 70073780; 290491377; 774333906; 274785999; 943429616; 574109157; 755511452; 901126176; 137160821; 686386353; 938845252; 883861836; 15190593; 473097016; 301852620; 570496027; 570283302; 187548266; 460267414; 29933182; 647460922; 28821394; 360778722; 819672810; 543525111; 910676721; 443813933; 642996959; 204408585; 886151017; 41451313; 324137796; 231278608; 876864481; 624433521; 66293080; 80511917; 566656297; 839373954; 954304751; 671611172; 549738572; 360306729; 540311893; 639259678; 592443276; 788283957; 814836960; 725547846; 765495963; 975700394; 596368917; 43709601; 124655947; 801094676; 682497302; 35189000; 11153274; 296277298; 918809572; 257354952; 381932697; 299553461; 672177621; 808590741; 937190246; 335592232; 270645083; 135677221; 489004021; 820050804; 65425260; 118077164; 159418700; 768478013; 342236789; 309345838; 596626076; 874943133; 882704165; 670010458; 182706626; 480269861; 850692173; 818189756; 23464531; 854718813; 460039879; 412190936; 472392873; 972589311; 444438162; 500338579; 476555835; 238876072; 425314402; 207260205; 643555040; 108931990; 216716758; 452598594; 570291371; 508531017; 642040951; 888816903; 523004509; 315845464; 864123976; 18404426; 946314163; 510494920; 526563622; 202108526; 655004836; 660800208; 848478215; 64149194; 309443931; 316175249; 551032056; 916500380; 101962175; 905383886; 118560752; 781347868; 369400534; 68346830; 70867211; 611848558; 880254642; 345715219; 586138729; 85457883; 613969176; 790498883; 335036360; 6894546; 797947581; 862895005; 787839107; 630029172; 567139842; 905470726; 437061701; 909646124; 210948163; 114490249; 366494921; 540051544; 806886078; 295369099; 587591573; 558260585; 290444833; 327926970; 298281030; 765906211; 133916402; 549275314; 589341553; 480875174; 577625053; 819726796; 328500754; 572321177; 813895947; 634094376; 334198472; 238715780; 648165722; 33906048; 82458079; 528591457; 243025744; 378317845; 727577661; 784612248; 382577287; 139804178; 537823007; 967535759; 531561470; 816356271; 581404099; 741464621; 738854903; 439811749; 929351230; 107845579; 563369619; 993449214; 47159361; 407789726; 897746161; 905484730; 261319298; 715053097; 826649347; 568668220; 369457222; 369041502; 749481970; 516683697; 497557503; 193437954; 469248010; 179977283; 247560999; 718390080; 963495894; 658361398; 406108768; 165275618; 76532795; 95818225; 488993099; 811242196; 893982460; 780534030; 96141828; 924561312; 50242261; 184739086; 657603844; 435428199; 860409633; 649213634; 499563045; 174033612; 7491711; 532074672; 34702728; 294100318; 632856128; 347794924; 471411287; 519734622; 952060175; 539637480; 993612578; 190406846; 511177791; 266897534; 145766803; 464885210; 977827425; 308566292; 427600152; 864260002; 797683379; 47502557; 131529711; 827229417; 638380864; 888400362; 23274326; 92603492; 233692987; 645392766; 593117815; 589699825; 62808513; 127038842; 350541901; 378046962; 839506064; 562431634; 164922012; 463419844; 146937336; 693654966; 441833486; 549814391; 528404387; 596257193; 758688029; 110896696; 938456135; 502428404; 915075257; 425620493; 621462350; 434334727; 35243281; 452168455; 953120157; 70923908; 782120189; 85535493; 530186181; 389098157; 179344431; 966997194; 960601909; 86333721; 128574828; 554147840; 436754621; 867951473; 580201550; 360255979; 965468005; 56218697; 106116502; 582437523; 810060481; 182639617; 339844828; 555211350; 410092935; 542665280; 621154374; 204120086; 195324365; 995572939; 698813167; 257638199; 668651409; 872047043; 341256534; 973473467; 294804034; 329037452; 286860449; 336962753; 811468376; 901581251; 579255890; 509230790; 682270434; 628468941; 61495011; 34050000; 414428041; 139160866; 302785678; 571825081; 326321390; 482212678; 960348540; 455190000; 294418410; 518297338; 247697470; 294206896; 800896173; 302677183; 644100037; 876875215; 939844649; 502495183; 872841926; 202083686; 294313489; 156807668; 280513485; 901244875; 760909276; 725124902; 813314027; 715850259; 74006837; 361972084; 520609105; 359820979; 824493829; 328445918; 584177761; 159012921; 352305060; 896478086; 475633475; 304493335; 913758601; 446117899; 494945142; 895343205; 82516896; 932260257; 942105422; 873611446; 27524600; 122670318; 716760417; 464187166; 370268984; 289931405; 28756516; 270174466; 238387513; 924938806; 436744366; 342135581; 28879383; 870907274; 859641509; 808715491; 35106193; 186153294; 956784444; 995914013; 765569618; 455772490; 700143713; 947208672; 257265899; 849701208; 312566113; 164205858; 114091718; 684997944; 70533514; 531028204; 961136534; 728970987; 890206207; 129293936; 95389808; 781693367; 454883952; 710223544; 518373966; 480229769; 267240229; 362614175; 446299409; 568065573; 95346595; 528178264; 1291923; 592009060; 59179195; 646051156; 545331734; 494673899; 160274249; 85498709; 118240780; 269871016; 653903771; 523622215; 367531664; 519416545; 843364152; 504638884; 738526629; 100695194; 496826964; 982089755; 76340216; 131973353; 516274186; 779337428; 853143868; 670032112; 864305971; 385364479; 274930716; 633947620; 978104979; 118922662; 306332493; 393807213; 187636415; 623213878; 868468009; 482143947; 850367139; 522853201; 280284654; 101634180; 527120129; 4549461; 890272424; 788562723; 739735212; 684611011; 840079918; 355588443; 643719263; 396745068; 968265504; 618285051; 876135499; 664300116; 342449443; 534301989; 247963724; 539371908; 714530057; 359688391; 902594931; 133325284; 936223312; 156802711; 715059021; 960178024; 705084398; 543084579; 162965667; 874072824; 407978063; 11561802; 440682471; 38812654; 520388324; 474048715; 580286378; 812139788; 952532178; 525550971; 384931581; 986271088; 328380257; 999738381; 31005236; 736671541; 262278191; 405540851; 340696013; 186731802; 979158159; 872088368; 104964325; 895153383; 121269370; 741922740; 30597026; 910799658; 107817022; 910408277; 253615044; 886396186; 361283176; 85763046; 358306517; 26758423; 111886455; 804527739; 206840417; 47770196; 891751599; 356871209; 232121380; 869919914; 330066129; 797259525; 651693899; 20283492; 434294301; 163018732; 550870589; 991826608; 580703453; 111792206; 661498669; 280981097; 391178121; 347293096; 646933117; 95999707; 891715552; 99417314; 91837477; 252989986; 73453236; 87943888; 265557858; 192235163; 277336567; 913082133; 276450995; 786058331; 549033843; 951395768; 533513865; 977038250; 793918457; 892952653; 956854730; 316873565; 934824343; 110076010; 596612890; 787477170; 469830019; 757773729; 228202979; 999674341; 945847093; 317083521; 763054293; 476843021; 565136204; 752725513; 131442259; 55841256; 952791017; 526120402; 534963409; 66968883; 129812730; 816463381; 565316871; 550258841; 383980447; 531404709; 724180743; 704521640; 426794250; 675820837; 749213218; 69224414; 450245997; 550091741; 941610659; 63283199; 525332926; 739961514; 54033010; 322675714; 963285467; 949633690; 49849559; 758504280; 221457807; 768055841; 78952; 609148656; 813664607; 596483587; 404810798; 720290289; 786235618; 813286999; 402708411; 169632774; 280267258; 963002291; 243244597; 705622014; 429751051; 387334942; 757309543; 605403867; 60477197; 458001665; 307322027; 169317163; 559122424; 186393211; 735574934; 733024988; 797914662; 293680054; 146491107; 3156954; 979803348; 443844508; 170276183; 179872928; 388180496; 838305013; 814090296; 673701302; 782172380; 523627105; 718077964; 747359532; 647577715; 179178052; 868358682; 21863375; 458355337; 342948189; 441237832; 522641077; 976301435; 821710967; 284233557; 825792020; 826397844; 702130772; 644801759; 413485033; 263898504; 755641895; 408786017; 929870018; 869295526; 548647377; 141252014; 45212434; 649733110; 9643896; 337970446; 209219154; 67100797; 917206877; 477223611; 331651686; 774729915; 145958493; 442833209; 640098219; 506734095; 379345531; 78935328; 682940272; 830469704; 820696369; 538923430; 573502341; 351156261; 652141593; 165990857; 549928150; 482843596; 275750927; 351359463; 966972212; 945939711; 726554882; 752820529; 793776758; 434865670; 337547563; 958184665; 364455570; 23256196; 463383230; 609220234; 495886183; 573396425; 461668855; 593440880; 652510688; 594251265; 264318456; 780878971; 625987392; 715177281; 164000967; 969564025; 649339803; 273925492; 764359901; 183532143; 101698513; 734990030; 575570737; 971285903; 216066517; 961124793; 243237637; 186644931; 886376324; 391046321; 581271089; 522450345; 968352867; 957501179; 550453339; 886037438; 521817146; 677705816; 192436438; 785386488; 732137319; 378913442; 916520908; 295983308; 807728818; 995899585; 130889560; 541583091; 25219977; 934367369; 261653931; 355246489; 361969281; 738660955; 811445277; 380148554; 491220723; 582781742; 104347943; 819130118; 91299224; 181361348; 389337060; 752482331; 144402387; 687967566; 838838892; 710430613; 773916894; 614535992; 960028876; 992899086; 724343501; 832208894; 338823417; 995269928; 541904159; 428197668; 477033774; 548275635; 7439478; 464309657; 485953955; 977315311; 341922314; 617938889; 173176336; 523247851; 304456520; 611142784; 340540475; 76092957; 648459887; 350747816; 568087380; 150947528; 405733; 736947022; 959679520; 26680780; 659505662; 694615749; 22929321; 836791276; 157345328; 692597716; 243515892; 778269055; 770173486; 518205661; 442182740; 110761531; 428691890; 699360044; 177175689; 360665345; 417591978; 913244089; 479478136; 432035697; 454028437; 789446331; 516282680; 837731046; 455657900; 806839282; 735151314; 57364557; 872428843; 778690997; 899501946; 557230097; 744002539; 5867574; 250669153; 456613856; 6110401; 581799263; 905113646; 213879014; 843053643; 651360350; 574142214; 862710936; 860504897; 194852126; 311844477; 587623097; 463801901; 95753776; 989328550; 435184109; 149061279; 107461418; 792202885; 927566802; 271430090; 874882875; 45170985; 73542215; 600380059; 362925966; 989644723; 291326752; 720975539; 555817799; 847285083; 648954953; 476681068; 50124769; 240124557; 431629633; 140425708; 66703104; 314120290; 870139671; 420096557; 610075888; 834619643; 736543219; 737809294; 779024669; 85877610; 880658665; 737526783; 8812646; 782592746; 906445909; 997218352; 760664729; 560541542; 300191672; 852037978; 943721857; 463619515; 940624222; 811639972; 595486652; 820527349; 759431790; 890396910; 162869292; 62501089; 248526420; 199900456; 865254089; 812745885; 207413809; 618960887; 814413065; 241457268; 662675420; 629295760; 933264523; 567363940; 924216294; 848360804; 634221806; 956184686; 421516853; 232841040; 706290070; 66051373; 961043539; 950072155; 915747569; 670972694; 91138629; 190322772; 893817265; 178479473; 649244290; 140388340; 350404694; 288335401; 661102973; 670940349; 854707119; 568241982; 246871872; 286674141; 839843314; 652119020; 764563149; 927811448; 15469822; 204742171; 474614927; 682070774; 84614990; 80044928; 104325347; 24033290; 783768589; 174258296; 444066918; 960598056; 57760858; 702547674; 256972327; 666099918; 824075749; 4736060; 134358536; 284372830; 159659395; 582802654; 647490747; 462858399; 35181096; 502169647; 932614492; 888937592; 494179709; 230380784; 37733002; 745113520; 664095590; 451099985; 843509169; 120543471; 458237819; 448189759; 911310046; 794719253; 424905628; 827495185; 996873791; 890650456; 789860743; 111642020; 555870249; 919276131; 22252396; 512343597; 421690023; 375897119; 828736809; 566530464; 202684677; 88222714; 250011967; 391643778; 991330792; 41408746; 305238594; 150493233; 247866585; 673860357; 79823370; 245432005; 881832008; 850883458; 830983785; 850983797; 57234042; 297918921; 44940715; 252349328; 945636395; 827975081; 763264697; 776395186; 385758015; 272273129; 39750122; 303479494; 552649155; 809890423; 363609102; 618368568; 35381079; 44046245; 12986845; 954994209; 763646831; 257602798; 259317827; 350683338; 640090562; 136292912; 192874530; 920689007; 21367914; 453798042; 493041794; 386333896; 291276733; 526330320; 357542923; 169972274; 620812953; 746913722; 91479411; 266669734; 673070267; 572382954; 541736757; 28104800; 557714243; 352090361; 944250291; 352260227; 528087494; 963763490; 78921712; 820492392; 42548081; 801765177; 47123079; 595366727; 410398705; 945981823; 205114741; 55112944; 877618137; 817984893; 461331834; 523410302; 993951198; 116004076; 653394205; 816783643; 362185641; 889768011; 331590658; 542784338; 532759646; 323955177; 501281526; 902728159; 51814549; 90442028; 214853916; 473330212; 225845861; 920628175; 848971753; 602442257; 908615141; 498827137; 235210900; 833706874; 192725867; 26286119; 866722050; 500156731; 311678026; 223761813; 471351416; 400771762; 12017270; 973258072; 327318740; 426779662; 659952482; 103359803; 792674661; 600073613; 862227844; 820576790; 126753371; 885387378; 122391957; 269327767; 136773745; 160491014; 298705187; 299179167; 120012048; 931916058; 20416707; 579782570; 656913063; 91740508; 622684038; 702537400; 703805374; 210640811; 322409481; 295676105; 678377098; 362530208; 592052759; 662558224; 80563500; 436574251; 611567365; 162273698; 539992018; 210599797; 496489148; 830134736; 949964983; 420100294; 680040757; 150620889; 398279347; 370523034; 48300745; 426155623; 424898623; 89068123; 756675008; 16965951; 930378997; 285606283; 921225575; 718841310; 661772146; 921707085; 976661523; 534234329; 149399647; 656368820; 423616308; 274458341; 197734111; 570771768; 963190265; 69496940; 745476119; 909130001; 666000796; 804705344; 287504765; 503045462; 338322422; 121844196; 726784995; 138268587; 700774149; 758819304; 105516379; 816914990; 974109827; 898876342; 630428917; 764271763; 716783593; 969279276; 708243559; 651495878; 518815144; 299105731; 802193778; 441717553; 38379260; 583130611; 340820762; 509549677; 936352113; 522625567; 89928886; 596337906; 938366507; 463192380; 437738163; 621503976; 664446711; 252531301; 130632882; 383121227; 709724063; 194184674; 850908440; 309636512; 801914853; 737814835; 574693004; 730659104; 200917505; 562080860; 500715478; 967573449; 845013539; 672605952; 510785426; 652314550; 683743942; 830004647; 524972261; 856871615; 504340201; 63979382; 233620794; 430161289; 94358732; 459612919; 383366346; 394288718; 495561747; 772623828; 805527817; 758147088; 567895718; 634874546; 982071924; 641869806; 623278354; 617180334; 52361714; 126974831; 196159188; 669814914; 333244598; 771370686; 177201473; 336292905; 561791701; 831813049; 63899716; 859173132; 213230547; 148459037; 380215895; 703525855; 249865967; 259113041; 289968118; 90373186; 438446592; 657090042; 670455848; 246500124; 445530645; 844869571; 733171539; 307705387; 220174719; 335066228; 370277409; 289702154; 729625141; 17704736; 661340902; 695904849; 557805875; 157098501; 884312164; 341619623; 371998503; 613554165; 384857845; 287637594; 659403241; 74864472; 577165101; 565464909; 327365984; 339839445; 610038390; 143955677; 90377764; 644731247; 364811224; 943718358; 235833005; 118712852; 243023652; 410371069; 635654576; 358569837; 943947399; 214301860; 57253984; 34350982; 777276178; 386876655; 849063287; 923783364; 270737117; 915310840; 58911434; 475000010; 644462533; 892699146; 508090359; 896206002; 713087186; 13664997; 725473707; 50909854; 436134936; 117566580; 197312727; 178627643; 393704984; 134512176; 961805790; 867803606; 702836183; 801437255; 989427222; 875558822; 534712567; 253165713; 207107955; 880567951; 44179710; 72056699; 964600290; 522780145; 420036283; 890292800; 595586233; 750375987; 288600442; 284029005; 493857100; 605995932; 654059368; 297719006; 374733586; 187429082; 760692473; 712443961; 176104858; 202348886; 32352723; 134858890; 906341325; 930467263; 411161275; 10195870; 775881437; 566463267; 361044867; 425881910; 988991761; 287154304; 819979413; 582126486; 316136298; 137096140; 936922780; 218876650; 109980738; 985052385; 607452587; 734165749; 752733246; 398522967; 786273727; 69397306; 72812288; 895252706; 515424095; 882036375; 573022750; 334908288; 75981620; 628420888; 248007484; 7174919; 867721212; 514137039; 155993929; 971821444; 396133596; 123819302; 163015600; 990209396; 323232656; 982358663; 685899015; 895415395; 197408460; 414358947; 169004403; 34014811; 462324393; 599038198; 890668595; 367113772; 974766450; 568461276; 796454245; 586943216; 367103516; 626319661; 614729138; 147753299; 238145955; 889097953; 854453623; 778154426; 786767251; 773471596; 551647712; 141590655; 159127527; 60797777; 37451973; 192709904; 573336817; 589289795; 706999463; 106282598; 706002060; 91056070; 901574420; 568572092; 601411645; 837255289; 90887852; 177676670; 526030518; 73691212; 751999060; 48568338; 420706590; 212637118; 805571164; 897701516; 830836202; 469837698; 425995960; 782482940; 645975186; 651066400; 161527345; 500452280; 951653093; 940658873; 415165722; 817354777; 224449310; 808255707; 593819367; 443134796; 742497025; 410929604; 376355492; 75837200; 555443363; 540367299; 977831791; 526286419; 334791932; 556384876; 27536657; 92655717; 657023306; 252147017; 740226187; 514918463; 816373328; 839565735; 784335017; 172108662; 136187710; 517512236; 435488945; 694461186; 958002764; 244885579; 435106604; 935373804; 881363415; 559695653; 470567921; 81461616; 798192404; 546235972; 315626141; 21976282; 691455156; 486495442; 942928553; 310400930; 5653271; 844160567; 488235273; 733991435; 821405638; 956544390; 385184366; 100757524; 319753327; 469356818; 313196048; 302299854; 350752150; 90530624; 896495737; 150470130; 282921633; 712424094; 27482817; 651715430; 747784774; 898213951; 107769372; 768651942; 867557953; 514277345; 913752651; 625580715; 221676775; 358663140; 842659425; 135192309; 764965914; 145672262; 521534759; 602542169; 356093075; 730057977; 803419164; 417896436; 199373010; 477373350; 826430633; 756502840; 250813115; 290998356; 5417690; 565182164; 604403927; 868805386; 199274916; 181911438; 820944427; 162719958; 848841587; 561054964; 24339551; 290502108; 297901471; 481454262; 45212521; 825112537; 593781811; 523544215; 142749794; 552717622; 256843677; 621417660; 557858185; 890144461; 659661127; 125152198; 542622920; 255238115; 681695151; 481546742; 616978502; 453298950; 946542255; 107204059; 356781849; 855734935; 959459351; 514898411; 862198954; 871495762; 84020246; 359489789; 484857832; 608184852; 692288913; 89798918; 377305743; 339366523; 330794462; 318195301; 849228059; 674111526; 211368866; 232999618; 834308456; 455897882; 597852114; 128369200; 164423058; 597123795; 392536287; 257420267; 989981255; 976824726; 16183407; 779525840; 33974220; 533381181; 630212105; 678568426; 535894892; 555224135; 426711387; 702580863; 976683782; 96079480; 806251719; 102204861; 266098146; 430245989; 617405607; 862245500; 84203150; 547136277; 965699617; 219049808; 121807159; 648067593; 386097415; 601226862; 368195000; 358344766; 437837874; 921630662; 796519651; 205314078; 353994865; 222716205; 219089891; 109132944; 922004157; 454599427; 357489621; 130002999; 896427584; 714933375; 56324321; 400451506; 909319734; 290800887; 431675653; 638061876; 57772072; 533044713; 55323636; 842123102; 352674403; 430186949; 21524824; 890779416; 401787381; 606393126; 823174271; 557396635; 61483451; 411624100; 954483194; 576402176; 912702140; 734174710; 987912638; 214581402; 758274325; 45648672; 74801233; 412702785; 663358751; 251597224; 426832476; 798081489; 33494873; 576713184; 172101800; 164578158; 563216298; 571317114; 961363299; 430588028; 318196230; 683145173; 129770808; 295154498; 87347697; 244159504; 812917048; 342162769; 429463796; 358713897; 181295656; 921798722; 450248331; 995972022; 141351063; 340845404; 280830113; 584530589; 330916510; 718113352; 929157555; 181207992; 122822851; 47742326; 77943556; 387028879; 373329656; 517338077; 537623440; 511276751; 117775461; 337927495; 78888945; 215990677; 99483279; 883430627; 158705361; 740969484; 327343218; 877896124; 799511104; 862636883; 595282210; 110466900; 626463624; 512353718; 195753305; 712507618; 996663971; 646665; 779508573; 351728046; 869447169; 422052491; 472707603; 95228722; 551605759; 955939010; 157730458; 680206093; 842654804; 826393720; 426408693; 636308385; 852033002; 235678009; 45259380; 640687129; 178637043; 924014191; 807625131; 426712716; 364753700; 579809411; 976138248; 891657834; 921137055; 130576800; 903123982; 650036293; 903507605; 596068733; 474865278; 128516336; 740309843; 539757434; 789005829; 377587157; 553317040; 75112155; 943968968; 119479100; 612475954; 567897383; 309050712; 291973921; 936845672; 303959925; 225565079; 925005464; 854528097; 217689340; 146877116; 49442970; 837847733; 296987327; 904147245; 153062488; 764010658; 663692797; 276196316; 529240166; 851548850; 920497040; 641526591; 379624661; 546003581; 497634655; 163689269; 405279586; 197584682; 939204331; 151720985; 546256737; 94413475; 290585074; 569424962; 957028704; 997568876; 589983691; 584105286; 753127018; 605533577; 950445818; 834572685; 431675047; 970478675; 687746629; 507327511; 18452557; 536366664; 754118544; 237267900; 654978478; 13838835; 244578048; 884471055; 203015558; 271372858; 673543212; 178286511; 306572909; 459538475; 413204668; 737958562; 319967514; 999021712; 224650187; 35003195; 966571389; 554005951; 468429379; 970960400; 682156084; 385474279; 137372066; 839092589; 99126975; 963018112; 180957208; 189900947; 412274457; 451783090; 553975046; 859524523; 953896118; 900143271; 917848007; 287532891; 784289763; 958363870; 664608062; 118374848; 317152495; 351740393; 827395237; 700792542; 446907307; 299723018; 873437960; 516131021; 389614130; 139563966; 917804150; 584804658; 350889800; 905482036; 620458616; 606657331; 387729882; 455721617; 347835505; 278313017; 503979436; 542061033; 578298115; 792304247; 826786737; 305332589; 460929376; 772739780; 512281994; 835407134; 714460566; 482462322; 399422027; 545359767; 635674519; 446355187; 103492366; 712428184; 438804156; 377829727; 739177451; 579704901; 424833658; 657598936; 468121624; 904967184; 897201222; 543927510; 104846010; 274867483; 898591215; 701316124; 908544450; 265598042; 579787761; 83830880; 264355224; 684501860; 842775392; 49687298; 266313904; 189295820; 198074920; 55458857; 6166828; 942787199; 305152900; 991057298; 101575342; 124518065; 539838956; 445099317; 841519927; 239838023; 292987505; 109134639; 119754068; 785504633; 537394773; 578215282; 147109340; 757602719; 619200634; 809601210; 827890893; 51736323; 501706680; 595433338; 134448616; 285542324; 901582795; 754597379; 276323983; 619176329; 721710648; 504217527; 266140030; 16219642; 859286805; 461379043; 638570672; 62008281; 911107517; 746820714; 487309294; 238770406; 551908901; 428615685; 505179165; 740402887; 260325760; 4877352; 411197156; 809923075; 388666218; 773837478; 203595774; 820423431; 457272944; 772466114; 740451151; 668119569; 25373409; 279327102; 96221137; 428085903; 912487524; 409737668; 899156150; 427904672; 205607956; 347231892; 386910263; 122340623; 590439989; 159304955; 18744610; 73338089; 707797567; 864713326; 324832556; 560795180; 182649391; 439546282; 42394625; 410453139; 917138890; 607680131; 673929602; 67925577; 533824907; 509102790; 569032296; 594789918; 431282772; 44344020; 691479111; 58460153; 586039077; 479700811; 712635638; 689588036; 113918559; 675107950; 51799869; 753040919; 694994237; 991209080; 33182102; 553269350; 40698320; 861019683; 852150717; 91594167; 152068570; 536288683; 250048507; 54206960; 235010014; 343087511; 384029973; 158841523; 494901156; 950570137; 923302532; 101245139; 143960381; 15598882; 112151081; 893401773; 991374791; 236611884; 100734158; 202215955; 71701359; 717220900; 801273540; 979771466; 784826808; 328632536; 172008993; 294232753; 505571704; 435447562; 15281404; 267032859; 408068448; 898827230; 245671572; 537192365; 238789435; 315841205; 667589770; 463592931; 216399183; 733480692; 912573870; 87494950; 782895604; 34782290; 766088252; 99884336; 460698144; 237957906; 942535021; 555331690; 650077551; 108163106; 679307559; 92197630; 52939010; 893334394; 457047155; 729106809; 349333725; 41666833; 977942323; 23281731; 119624745; 383948542; 486852263; 698308260; 721857298; 691205029; 737609265; 735298475; 528914158; 146590079; 898229952; 596721058; 462583789; 562755105; 185938975; 74974779; 761024378; 484938884; 690029858; 200583897; 129536652; 400412666; 17548175; 82962620; 652453255; 386510575; 635018105; 472983562; 262607671; 437670038; 488834164; 430202673; 796709652; 320756950; 539353024; 481616754; 295149392; 898001944; 556781367; 977038956; 971204406; 971819521; 228156155; 304984587; 562772758; 561751097; 579030652; 886333110; 135960962; 457818916; 946067384; 802217912; 901775033; 870436702; 944755397; 911497471; 872006660; 977849795; 211853165; 759389394; 826362376; 564702334; 997346680; 28091461; 896490626; 721637032; 727686400; 597596027; 106575071; 227353954; 436807996; 216883506; 16602193; 107594004; 717085470; 401943385; 521045022; 329755603; 478400453; 900777445; 408567351; 461645448; 736741871; 688094870; 392445212; 15818091; 693485761; 457199866; 525852815; 663446086; 350230710; 564614568; 365258695; 899570096; 115268466; 23373446; 626889257; 201029688; 593809151; 209296821; 683546724; 441806798; 582735427; 165503059; 349432491; 608113963; 89155276; 257223972; 755937619; 468146834; 891130879; 559848680; 955256365; 150212743; 21154654; 216393473; 869870712; 966971649; 396036872; 438882199; 893253880; 482080474; 76599947; 101981691; 659819252; 344288228; 721577009; 346141186; 440718144; 407091806; 72045011; 140794953; 880697540; 256101396; 642662248; 158194623; 20612763; 698149151; 546523393; 874622556; 635222706; 103282462; 687419952; 882110875; 806343064; 612266978; 710727961; 770874736; 368495772; 519432461; 86654972; 46785081; 439118124; 920832414; 766086435; 447461948; 530187780; 74909762; 308043233; 849135533; 796908853; 6323464; 559074788; 691184827; 293058240; 342539438; 515392013; 488280208; 623640736; 758577556; 416272876; 283474230; 910095262; 929491934; 184520088; 208161803; 204629480; 165987074; 674268174; 621189703; 683606313; 763604799; 226362846; 340851572; 376571778; 908678652; 369595320; 900325672; 705661273; 938912948; 118356004; 929837725; 758953876; 66278946; 840143475; 210952242; 857135585; 699442904; 808165584; 938504473; 136747162; 267249571; 706924604; 296687760; 233265805; 981964657; 148543900; 381375761; 230715307; 410841166; 377216305; 999789369; 217273654; 716495945; 340219124; 230141735; 512629758; 32357747; 262593821; 975059713; 180030216; 405249407; 513771015; 937175650; 703168319; 998890301; 378410994; 857719646; 750016659; 538146897; 225215924; 194754525; 26258728; 245447389; 116796966; 898987005; 958010284; 884606825; 507535540; 489999347; 828935709; 960147880; 958648865; 464544031; 406621312; 465527401; 485198896; 782633052; 93087183; 109289781; 955500397; 999755483; 833005358; 667716067; 448922765; 44764417; 203607173; 857845112; 793446701; 358337580; 240182411; 782819757; 343979028; 893708724; 697901240; 246029911; 260383119; 379189923; 818384565; 415951250; 55403024; 236642534; 54823685; 155390452; 550484091; 624952657; 712330874; 584798868; 228583555; 117443477; 300636603; 348890374; 416788883; 912690717; 182564016; 85290950; 873050419; 398819276; 413087506; 242535092; 441270677; 386370044; 696486353; 720359720; 669547559; 963768256; 966240073; 393329426; 247596250; 973814410; 885969580; 828819050; 567825625; 410886077; 112813902; 251799792; 951988654; 429995443; 238623691; 157714089; 31447113; 207379949; 649002330; 88228111; 887378173; 607379317; 947511678; 708498959; 909253999; 373000307; 395690593; 45845243; 401259589; 728897942; 551430643; 441158562; 9200341; 846711300; 56291451; 316791712; 487255503; 641642951; 889293416; 785675596; 622042303; 86822783; 917440762; 197325066; 66827378; 270834818; 745991675; 859533063; 30763454; 62095; 529704270; 105941722; 472299220; 323609475; 193229246; 427082773; 283848347; 191256301; 679648175; 438679558; 770732853; 640230364; 876454231; 235456366; 255315707; 904319221; 488003281; 67858703; 259321435; 735359273; 289682554; 888188298; 584688986; 225851567; 602224235; 929910643; 586679626; 928061902; 539488199; 283326031; 965546997; 263566560; 676866109; 412755728; 758880039; 613923282; 934063939; 263430447; 834612593; 969959186; 742476002; 615589416; 383558844; 880925460; 882383516; 59925124; 104205219; 775225428; 416746997; 735277108; 271619777; 674436142; 592381611; 71330641; 792241845; 689292205; 620379965; 33345764; 252546858; 183450512; 752029187; 241280944; 851116215; 717641063; 114026138; 485029718; 779096649; 94350877; 787837955; 95255325; 725020300; 178165834; 214319446; 803159344; 214107983; 715747044; 131816814; 285216684; 900495267; 24146378; 371296669; 643959343; 421926689; 235956539; 206748906; 745614880; 33369137; 617632536; 546254540; 359629228; 326927098; 485812582; 788106513; 997798432; 301945763; 966225600; 585200655; 822980154; 377425965; 844613217; 200437936; 382608522; 64996884; 937548873; 552215435; 702498824; 157354919; 838534248; 697868072; 385948967; 930892893; 219853330; 867057840; 613945514; 30684315; 305725687; 422059725; 242321075; 465075024; 999846841; 664555292; 648502311; 53801982; 748490547; 514024335; 904117450; 966725932; 717682132; 920183672; 161417118; 64951783; 623727051; 350962176; 281206876; 700523985; 657587940; 809920521; 910058814; 369952417; 281894198; 160930676; 318255747; 387022658; 316020674; 47698111; 701168524; 129971438; 499036590; 235173190; 170072747; 900430765; 513824524; 955685567; 827608323; 803930273; 898514272; 165374691; 704495323; 332452861; 893407664; 109994983; 700665836; 404632990; 434093997; 268922436; 716968998; 225760907; 574731298; 236437720; 551306349; 333994987; 75231339; 744773600; 492240838; 972873335; 650604530; 703250652; 931900925; 639443122; 409561380; 154419999; 239388733; 671766555; 495136487; 313110632; 299644464; 319704396; 110312044; 655257342; 133645615; 717539208; 719562077; 530138119; 541581302; 686277406; 419101257; 27192544; 75219108; 126666812; 483749558; 614572950; 256885492; 647552043; 31953040; 806821914; 795371207; 773720373; 519204654; 208295383; 232053453; 179266930; 291159475; 1692648; 120940289; 406684235; 373589220; 220873466; 803259944; 173102726; 723993964; 154138308; 833383727; 331872652; 253864520; 739342787; 775884151; 697804700; 115995439; 238461779; 574508344; 710591968; 720053064; 984402190; 347958933; 797697551; 244040434; 743202586; 166918567; 165684811; 658016510; 635938617; 728416749; 278083697; 939414487; 12410475; 191366012; 637410174; 30664317; 460326699; 543464412; 617676770; 17542140; 599099050; 713005699; 836410631; 448261483; 795916402; 851446413; 187678090; 658072931; 773079533; 634222151; 549714565; 464087779; 655718638; 597771257; 211013503; 67872839; 82683107; 631703458; 633090374; 922087227; 155431254; 803057021; 314596889; 972120046; 160849291; 43357648; 550953896; 143316724; 719164637; 307415758; 962052442; 425392197; 922982103; 299317591; 916494766; 763856390; 537581112; 409957935; 609764084; 385722402; 610886830; 648545742; 411794441; 496844057; 950873497; 667534712; 641059086; 593752429; 974347123; 830380815; 204560854; 374047035; 679415838; 815527036; 15336556; 575172026; 256650838; 468521610; 26055675; 317862191; 520540280; 989733402; 65022744; 517333209; 522858586; 891649758; 513142454; 475123766; 950038060; 618431176; 44715453; 83829218; 516223285; 200205989; 963050243; 566841397; 641897798; 628665520; 767544387; 172104378; 859946822; 564686917; 323988932; 331536323; 733221379; 395999586; 581130820; 221029982; 655767073; 890102587; 822176048; 915437319; 344106572; 481191541; 372578728; 872415923; 469372593; 174486980; 654346028; 200321683; 387589304; 344966838; 442130433; 750520706; 61542431; 629024922; 43463561; 448371604; 556330151; 640488789; 189752209; 73077828; 426876297; 883199036; 790775492; 441519415; 730841631; 694058224; 674283096; 750935748; 217802381; 591224987; 490696085; 288973041; 258546546; 848715341; 416033936; 919722015; 931409048; 976716584; 911371611; 58722938; 686627026; 57248062; 88108634; 516732748; 667916519; 149973289; 745774228; 814717454; 992468330; 810643050; 355293669; 585834112; 933761951; 254151353; 58626535; 853468283; 480806736; 599452980; 504283627; 497132052; 450181060; 429343416; 959800936; 115074486; 731340970; 147539206; 671140106; 3579920; 412211975; 524179735; 149050942; 967912822; 587434346; 45502510; 321571909; 836375713; 336576350; 947153073; 762120545; 561946021; 606225029; 865269172; 13572188; 604090007; 753055517; 997074457; 927258655; 650720152; 117761432; 717872117; 731427333; 526465025; 530706388; 168487432; 324584999; 110113554; 993149498; 398105155; 256297114; 803873755; 138895684; 174237741; 468459672; 458197248; 233318214; 860275559; 703840288; 575648561; 121744148; 968123441; 113370124; 654182074; 894153984; 232782718; 722843512; 236421956; 811351095; 328007227; 767538793; 866303945; 386373317; 685976054; 701461779; 200610029; 816076555; 313401987; 992776561; 679670435; 620811197; 434383360; 236427882; 809840983; 821604181; 343007114; 79683863; 77360677; 9417313; 371653034; 135754952; 816031403; 398742213; 636091564; 153249215; 654439706; 440557636; 471074308; 469435745; 573047962; 695494754; 98062090; 534702710; 685861803; 538492159; 286616112; 967377684; 125720783; 505637711; 4189636; 801838010; 622189972; 64430917; 495686629; 806962020; 258067307; 135069631; 702078365; 705627127; 153685378; 921430929; 708969565; 676140594; 771508337; 395865558; 17153163; 453018645; 373041399; 285694459; 959135294; 207026808; 820588975; 467130073; 174658116; 816099811; 56918065; 98139646; 916932702; 253527475; 109683117; 931962739; 532553637; 578692952; 160698230; 368682505; 96500474; 271013035; 274113327; 974106520; 861844629; 868588307; 337910338; 192153163; 565161861; 378493147; 962274264; 656877339; 887589400; 706841777; 129479380; 770927237; 831317622; 674365707; 635199899; 66520542; 109453957; 97630857; 262767827; 208724382; 641279325; 708616758; 350037685; 239275380; 877005511; 704610428; 233183813; 500044933; 770621889; 648374796; 22949999; 43817935; 534112747; 231913445; 488693030; 651900253; 539608263; 440593482; 565437180; 338060031; 69961620; 141896677; 497520855; 819540680; 166438367; 234031241; 527890799; 853792205; 977489352; 225386389; 778621472; 289520837; 952397119; 204437004; 972445826; 207235713; 98730942; 915302330; 561663022; 263169963; 662306352; 649461554; 968580523; 735319566; 183792245; 938703755; 508404935; 712810860; 17240024; 500398758; 260654606; 650953887; 392231749; 502472239; 776804904; 610878197; 310689526; 889300335; 239796608; 996147124; 677118810; 648533616; 934934612; 700858567; 230360420; 536190535; 540461799; 647501096; 790172405; 749037446; 273365364; 769392053; 947035231; 15258676; 219168744; 591731226; 746365420; 109387714; 531312918; 473346250; 549051940; 391239002; 535585969; 677627414; 540227089; 957627867; 81544190; 198139649; 254397269; 500759896; 86091857; 988794317; 331311386; 18712762; 345854343; 583211265; 18674817; 987470967; 909005805; 602325150; 188383650; 853378261; 250659557; 158267854; 405281886; 137057779; 426274412; 290160925; 152121706; 83325232; 667397852; 756481758; 881653300; 278293473; 895104896; 956781280; 428918470; 681247062; 543592015; 527045761; 744947217; 813027334; 618064994; 377272247; 706939059; 322089985; 626761856; 886448004; 518801073; 327734808; 509002975; 463189187; 962194325; 935876052; 523439995; 883707263; 619978402; 530941065; 865515471; 565558713; 44528288; 878382331; 609302675; 659245985; 248512611; 303060574; 832374357; 493339116; 776545208; 599302237; 851972266; 366653286; 732055116; 923127856; 514762514; 421272976; 46259688; 5971891; 356184326; 151297681; 42494016; 399594761; 691716841; 372532371; 784260333; 918023377; 268951604; 906728219; 732765533; 33715132; 786474585; 530858448; 786094510; 324385200; 243714534; 668213384; 951625517; 7469208; 964078202; 788041512; 862112658; 482585685; 241357746; 905205014; 242778590; 354853451; 722305741; 148833018; 413046805; 653368127; 300297849; 971141211; 662726642; 795724875; 602488320; 375285210; 389818047; 648239831; 596990398; 376997372; 110030349; 556399159; 855488777; 741383927; 985980045; 350631334; 839075452; 127035987; 224368831; 759195304; 302354110; 372371559; 282852952; 933577217; 727046708; 180122577; 461801389; 540763511; 538578138; 428076243; 71304943; 670810664; 191367817; 142205264; 621282975; 957872066; 510721870; 942389498; 800123614; 500082777; 209834040; 345440183; 357701824; 848202898; 860422791; 842779062; 404821037; 697045673; 288289487; 576257013; 633198233; 311102851; 628275741; 528783127; 834908304; 974116201; 660711394; 475125963; 662664033; 157659562; 501711622; 252776639; 452795601; 387435643; 98896023; 612854265; 463249899; 125435003; 207197821; 279592894; 89971837; 848851227; 492658342; 488939485; 260817995; 619949716; 111314198; 912171377; 543104942; 917983970; 544821383; 571904067; 540207970; 809030595; 529090872; 744968234; 793948049; 202224123; 20479893; 384574462; 631409163; 288291323; 383617955; 370741778; 620783159; 556298213; 359733329; 850889547; 19121848; 634898686; 182926309; 115026212; 200785991; 90628692; 532433327; 522033535; 446180928; 340552189; 972123546; 951082014; 465467490; 49759961; 796559427; 302414561; 227298764; 30274749; 227383396; 928937774; 634466972; 389534178; 215530561; 876888491; 574246721; 386861180; 773229541; 171753013; 147310807; 415644859; 336477666; 742095065; 173095393; 953979282; 83662953; 214168741; 234140442; 225845230; 101587422; 934143088; 910552674; 335332223; 444573705; 376788358; 348440989; 350983473; 325551916; 18528910; 961397023; 810752889; 611869686; 22692405; 540104699; 626007032; 643915014; 124664529; 882452283; 624604139; 455107539; 381239040; 86093749; 875513307; 658611396; 455723003; 440406983; 114298646; 297233398; 640765378; 962181399; 723277796; 735069752; 418619503; 642119337; 271920087; 325617558; 127353897; 442197530; 929618904; 746747656; 248601335; 291794247; 161682519; 581775848; 207697382; 867620358; 399120855; 18392124; 572596927; 419123995; 818361590; 731870144; 928540672; 550680616; 604374663; 745814746; 807899937; 603273736; 180054063; 194744393; 559257805; 771344026; 27263041; 5773085; 522943085; 853456879; 569171383; 168520787; 414562080; 302782640; 547155770; 830781194; 232454301; 703281297; 517082985; 782549374; 754020502; 109338120; 681305825; 603977415; 911276663; 998260453; 415154419; 215503609; 353575512; 373119659; 953551245; 717356849; 247073511; 166573609; 754833061; 787813237; 621801680; 704068639; 423640993; 898662789; 837015173; 842459055; 675768423; 700343294; 441381634; 272156625; 65459161; 524598035; 809484348; 746326835; 570668336; 497806006; 953313438; 747586439; 15554519; 759621927; 378206494; 954192775; 710099212; 109498701; 48959136; 804427273; 637273584; 985870848; 94242207; 544325700; 385525126; 33870598; 939214498; 295621434; 141782875; 174161623; 106780598; 750518573; 700687137; 990351827; 423288251; 995698866; 252862781; 349809396; 412128982; 518174056; 984696853; 410672713; 95851600; 166603153; 896648726; 169992710; 635025781; 580556995; 733947381; 226280283; 392881887; 132221739; 228150172; 781731782; 100177147; 520626725; 521333157; 308020906; 505296103; 439032392; 664765555; 635729393; 815479284; 84689203; 895370601; 261795972; 773207412; 127653735; 150382680; 571102031; 350445442; 146538607; 718603611; 405804779; 519686112; 496917137; 284467255; 536752858; 623864512; 684754769; 765250762; 484620465; 379590549; 225867450; 502128249; 936230196; 437853023; 14759566; 50739716; 869099994; 426120738; 853948796; 909199045; 132775064; 598868505; 33935724; 45135363; 448848337; 518547061; 155532172; 339436574; 673846453; 372055225; 115961942; 67795545; 859804038; 2914397; 262458794; 8973124; 467428257; 218887364; 87402064; 281536757; 922973777; 390695456; 55196852; 989974059; 884452438; 467661184; 62180044; 821620126; 643605427; 39505577; 120889682; 389329796; 893898777; 504633791; 256975800; 571351530; 486504077; 434409955; 602802740; 104481316; 634857970; 982912457; 296446887; 790943898; 520031479; 874993258; 748877550; 108360437; 960622292; 877263744; 458536926; 216927312; 920388565; 84939992; 660600171; 673714661; 590050480; 167999957; 840620036; 242100545; 200075493; 324874815; 25750015; 321182967; 680684322; 955682927; 843541486; 182028144; 107922181; 47636715; 341796080; 45513841; 302815099; 36355394; 712713822; 701370719; 352807009; 700774041; 905233453; 638487824; 911532897; 517971230; 872953480; 921308437; 982982005; 776531143; 474190503; 43088286; 412551959; 368802629; 36309682; 229710761; 144702026; 938658384; 628633524; 920383389; 865066326; 532203240; 606137057; 894960906; 919246588; 867745108; 923879770; 242319513; 770458751; 13180868; 292337249; 176659055; 520084501; 76610005; 713261948; 839526049; 155514881; 508563360; 312207938; 162018983; 855183560; 569254126; 754755923; 354401235; 838116346; 11501774; 82845720; 40569320; 259185330; 115393513; 976989495; 688663259; 547896661; 517806175; 25612725; 151623069; 206702501; 631016; 583331897; 580997277; 583173649; 439601751; 750444084; 985129243; 905412926; 269250267; 207357336; 328274416; 139838429; 813709667; 459760314; 433753820; 55753139; 86528692; 213024625; 293626615; 315727764; 853229985; 399742699; 661376915; 149067483; 444882796; 197645904; 205763874; 203911555; 99564610; 83596434; 166535327; 767600534; 754522977; 106179120; 581856404; 772218117; 604580000; 940405361; 612527871; 315820625; 121579855; 667994718; 773533533; 934519832; 470573856; 809185095; 727197751; 664200109; 667966126; 568241638; 366402761; 969205614; 611560848; 674932435; 939552967; 154635533; 739018796; 587145042; 387213538; 623870031; 540600619; 480883870; 472239564; 119512886; 485751113; 465729060; 875799613; 367429445; 618743126; 823526045; 851578745; 24966279; 336537667; 706587535; 100644124; 511687580; 55041864; 739147731; 511900004; 456560007; 476119288; 171682812; 538788085; 812092111; 890059270; 487165849; 519653348; 404251738; 991993024; 298163231; 13381497; 720080969; 650325040; 262952176; 666754434; 382435637; 754939427; 859797501; 3450986; 584323664; 93691916; 698351039; 768349891; 307321675; 677943478; 706077039; 724232087; 927738731; 16772987; 279273725; 754684805; 182606160; 764848843; 122908480; 499211730; 40802466; 107681886; 741904672; 882371397; 514803378; 797344380; 933811856; 26564668; 104651175; 242030014; 83236770; 784424919; 575237972; 930578857; 631767396; 848374782; 921659778; 972315784; 570781652; 577633569; 462384024; 794851088; 128977030; 190581483; 474880931; 424281842; 823813948; 298952555; 990725665; 974467651; 765595382; 440134671; 185983177; 446427361; 27309508; 42427575; 721696355; 806267032; 555999621; 882005557; 66739149; 167435114; 291548833; 708426064; 50254113; 495410126; 864452271; 374188824; 423252593; 13478630; 708240897; 400557475; 957431740; 980121116; 298823992; 12715754; 520059113; 465973954; 163236735; 697502498; 558408507; 974758733; 48775437; 727192403; 645678840; 385235003; 4207951; 201844575; 410265264; 38808145; 230631070; 418263404; 734327458; 274573464; 507337140; 59195812; 560444355; 530405907; 150827639; 974122573; 800590913; 916647077; 915043882; 743159744; 255592274; 754635453; 805630051; 604867086; 824290005; 848504624; 507036928; 295335816; 13075464; 442877113; 860859376; 87571464; 614756201; 654874955; 296647730; 330317428; 447546391; 240841940; 917561813; 39173819; 440759722; 244996468; 717476243; 466941991; 403374278; 125721828; 940646782; 2771267; 430724200; 376718918; 978286458; 805966613; 57854630; 38049479; 692375930; 923782673; 338706161; 118681139; 766826348; 128473087; 508762173; 851605686; 685537798; 147998978; 729549970; 743430466; 811639675; 38343962; 554472294; 22726004; 767828242; 864193394; 719256143; 630941042; 959712740; 689829629; 663169753; 976055049; 6411981; 815423823; 204891470; 237672109; 624638824; 49599420; 720906516; 586385591; 254910559; 243134646; 675505606; 224133211; 201074824; 583450300; 293973251; 634072549; 909213594; 31834846; 721084624; 279255115; 795854177; 408689307; 712224642; 301988796; 646828644; 273980587; 549302337; 181452251; 84209088; 393820370; 169258757; 303406629; 16455162; 189793827; 962956719; 99809898; 399686869; 682760888; 959456584; 376595096; 386259147; 818977689; 571880706; 967509919; 9656617; 619565636; 723549684; 296643362; 27420352; 477568054; 27089344; 888877766; 771513514; 270130629; 631841879; 821827763; 185624126; 789911967; 235495389; 675842016; 962561540; 594122326; 190983724; 272786504; 359522956; 544568369; 723653844; 301123489; 3391902; 896822165; 101298718; 536834852; 549503250; 414864350; 915714483; 583152181; 844846010; 945325538; 54586128; 644373993; 252721698; 895257018; 929928528; 734049291; 775646771; 772024615; 962299940; 568833414; 429493199; 777363727; 318995115; 991833778; 692953825; 78976349; 83414683; 737220922; 313088063; 839929174; 486229181; 964817985; 997726848; 221343479; 613378555; 959857978; 450609772; 397908156; 235967714; 92472577; 854739016; 258304980; 616745838; 25880466; 875469948; 330189502; 28826591; 859265685; 790738357; 224374315; 739738218; 337179730; 288180678; 893340118; 811428308; 622431730; 117824652; 946880788; 382804382; 606376827; 497608754; 956924002; 838066047; 480642566; 714152561; 472277862; 739425943; 252447467; 273352581; 392550586; 58224376; 609684060; 500159907; 323085437; 810700438; 616341896; 708982533; 205952805; 83331062; 70657948; 616037293; 680140947; 398473356; 910187729; 798032546; 600491311; 325653815; 508399479; 467867142; 912958895; 444034426; 849132265; 479952766; 396496915; 438210139; 417497003; 741157365; 803810323; 903206702; 226830699; 149982726; 228117709; 194449452; 578703014; 429991377; 485166070; 174825868; 448943614; 978208148; 794867083; 312466526; 437486891; 28311458; 390678496; 48228664; 369564977; 378345374; 852652404; 795472694; 254888659; 144819470; 34369323; 404746155; 339194706; 100927851; 225232967; 236658409; 423613386; 535929319; 192879895; 729641595; 330148967; 559264888; 55894912; 375104288; 781557637; 462469551; 860493165; 812339574; 127895771; 155940613; 513655291; 393318504; 690107453; 261634364; 592713255; 711861878; 160649260; 813977975; 175912468; 723070330; 557493855; 188881327; 233128558; 125474533; 500415080; 557308629; 319609604; 474177763; 837350110; 172979708; 398082668; 404351745; 468023855; 490711822; 38343454; 988659137; 566835158; 731272; 766695012; 267424833; 762279229; 813718573; 330249710; 561310467; 876571540; 937307434; 414524789; 786974281; 411760156; 220189502; 136789914; 503155886; 832960191; 224983246; 958693440; 524599075; 309303236; 240817695; 231485602; 632759283; 286375247; 136402647; 868245926; 598949857; 703764031; 204466344; 916492378; 619647369; 862452972; 454371519; 949140036; 123440022; 907203233; 668227278; 38983703; 705378483; 969951223; 602388147; 526519302; 908212021; 795427138; 817980840; 463443714; 505818963; 462090219; 248850929; 741133280; 675775151; 149202457; 143239349; 598905135; 484996092; 740012040; 551099100; 107303203; 924725390; 810133601; 848001608; 78133944; 26322065; 53991450; 529780998; 667905129; 970039245; 93523710; 379535003; 5876898; 406189218; 449203011; 320950531; 929103054; 183627995; 99769333; 934800582; 334700784; 27471546; 77938819; 46535936; 825122086; 614377828; 186141636; 47534246; 273403255; 44218599; 681423515; 264789443; 3064615; 43830200; 56605810; 883604893; 131664995; 716623405; 368475922; 5426467; 400352212; 626530554; 68962489; 229510199; 839559131; 206964191; 752374097; 88281032; 470273306; 45439378; 182381244; 720825652; 224102665; 656018600; 635636013; 578962224; 894529710; 602951739; 109524293; 349288325; 852820523; 42428779; 174895477; 51374278; 34355106; 348302841; 307363202; 654565237; 381071563; 700253349; 900131394; 967442270; 414913975; 771950568; 895919754; 980653220; 243051796; 463054314; 665953075; 36246411; 571635471; 558201816; 820580371; 667760903; 154641347; 526496824; 967199048; 104632726; 248428786; 595088034; 792745355; 694207644; 703683847; 906222321; 507814418; 906595848; 387999273; 900571310; 803409716; 773880246; 184011301; 836264779; 499955776; 985576274; 333107565; 676084677; 674135091; 772570395; 408374905; 275508793; 305617304; 861522963; 702055899; 722378068; 611976171; 491343584; 260121637; 474428243; 330105481; 521422361; 742142579; 823516794; 652353637; 869626328; 208789711; 847438720; 447051327; 813521769; 852418908; 513542334; 264143133; 193238074; 54654192; 680243099; 373716007; 423450202; 559944961; 803894440; 675219104; 391606617; 472662037; 663224946; 375640733; 430261901; 211320864; 467385581; 176353451; 37423859; 312932050; 987211136; 9157107; 319594892; 674284823; 555420943; 406085594; 479147402; 640319199; 33877880; 104869875; 151503512; 261511789; 332227328; 971575061; 755867218; 740897546; 695329503; 777686686; 51403991; 809547864; 97295649; 922906706; 84355001; 551331579; 119367586; 414026994; 787110250; 912869903; 864544987; 939928507; 752371653; 198028251; 644566825; 771980719; 209927646; 214403972; 517618356; 262455691; 153109485; 58296204; 29445130; 431334037; 261819495; 483817487; 997821726; 439288691; 739163690; 785153624; 14822718; 673419645; 132858461; 62453309; 968089536; 446973541; 648389267; 175909639; 288611205; 489214345; 519431658; 145900904; 374422233; 882880598; 314097660; 416664690; 250325906; 528125713; 166326716; 851937978; 160603319; 558648765; 863350058; 770420257; 172039634; 823129588; 710007646; 470684721; 152706641; 817940668; 816097882; 987110869; 838770813; 755248205; 871129880; 18820740; 978468898; 726645574; 642349358; 851997630; 408686983; 512159673; 893350340; 649812065; 16024266; 383152854; 807366359; 615218061; 913352489; 805378678; 487877416; 560814107; 640082931; 495431516; 445169104; 392176732; 617801549; 754301660; 298315708; 172047688; 823503324; 835314555; 884088720; 421367188; 951083413; 593052397; 834511216; 365550764; 178160990; 327371451; 746837717; 856397456; 327246272; 835236442; 535517058; 914121780; 75173977; 274263202; 84613571; 511593408; 935763643; 107428494; 922521935; 164816618; 606101327; 292192137; 227792576; 763966161; 194303471; 503521334; 499261841; 835066359; 194148119; 862497261; 455093970; 758535475; 902221198; 552988804; 478399231; 53309053; 516943296; 703259378; 919232382; 211991799; 874545470; 865731441; 53074040; 634301707; 991730556; 457003668; 177174071; 508231093; 167709623; 473486979; 717121079; 314431483; 406524119; 221427728; 774097775; 289135519; 928981930; 354959726; 629111898; 6549975; 473661063; 773357804; 883128488; 293526028; 156073374; 742634066; 983374633; 866414214; 247307807; 363218232; 983918068; 204355314; 498170262; 443934632; 803511404; 861832078; 537542732; 813371190; 407788028; 237420215; 727783100; 154825308; 582335448; 506653594; 889995134; 167880264; 725100292; 965562894; 801498579; 118072072; 264496833; 373635698; 696095649; 629043988; 574156958; 391868374; 512988166; 45915440; 221142488; 523862530; 605313700; 517825558; 675943229; 152274550; 685911566; 933178661; 419672491; 722648236; 184989042; 457574862; 153653922; 143132572; 991387932; 522726436; 910413066; 542313842; 520190702; 152985418; 915469167; 142297084; 781820943; 924797930; 758663857; 875196332; 609083412; 388189497; 810194585; 717768058; 693534644; 618207629; 724093256; 901536385; 40979282; 140476513; 127632923; 272606120; 135841948; 226103164; 719158742; 173894328; 233706243; 685700586; 520467486; 344460919; 556782103; 814457290; 313871123; 888550392; 52972389; 685289306; 106077904; 872063740; 391285557; 155098026; 708210851; 668643249; 944337699; 568694869; 733432898; 844835456; 17995809; 640933571; 969134202; 669304948; 721517771; 433167790; 551005980; 575815134; 249691602; 134721295; 386798245; 809900613; 614797499; 241966765; 189792897; 557355666; 806532323; 607821845; 387343922; 930269446; 852458235; 661581917; 603463451; 879896500; 166329090; 275729413; 294197253; 542229112; 658673704; 221093689; 888333459; 562398850; 5451401; 241151352; 492792559; 147736873; 764614603; 119525946; 468113895; 466184936; 640156584; 802076899; 847694056; 662503555; 776085372; 891421757; 372911721; 296047394; 507004215; 805904603; 583634042; 625091600; 583522877; 615330592; 217832278; 519222541; 562188134; 531444810; 236218943; 639260940; 657924790; 468625106; 764589559; 226184259; 164177544; 720009731; 536177125; 969396005; 717167361; 992092704; 765032020; 802389634; 222658996; 589045842; 691298071; 391385768; 436852464; 872342688; 907218667; 921827908; 360506443; 279240396; 949374180; 537743143; 846254666; 400936289; 253957913; 343501212; 237303948; 82089102; 421009645; 917219255; 120067291; 364826286; 950252697; 475636923; 721048051; 170832861; 893920528; 495438126; 506358244; 55589003; 103359522; 653659436; 968345975; 865895845; 353500729; 386580519; 875529667; 810183697; 560880374; 600971835; 897786723; 477687077; 529660234; 808528715; 453087890; 272891436; 658118778; 513559751; 293633124; 740208614; 571481302; 702794359; 886162107; 972473326; 165195313; 58493315; 990966743; 624659366; 149711529; 486634870; 481572836; 863962881; 138675525; 823547020; 249720633; 153443669; 220923211; 184504025; 87263341; 756713992; 983476516; 575203042; 952463354; 572172373; 131339992; 573050262; 373424239; 710370975; 114375477; 451617721; 388768300; 726440950; 908654551; 662815480; 572944434; 211492224; 822237838; 392554576; 340334946; 679452258; 73462167; 942143327; 414839314; 131224886; 945424518; 779766171; 403760238; 2214362; 813944075; 850576058; 12507756; 408081119; 554685939; 301281716; 134239486; 330801678; 574739707; 161107119; 573143265; 864176582; 458549617; 882978541; 123950067; 381059128; 49570501; 575807917; 17055734; 376506640; 828496312; 949231089; 290649114; 467018781; 519978158; 422231000; 497059672; 785045186; 390625348; 233711533; 579038522; 567094679; 406861317; 655480287; 452412403; 561057296; 814437886; 557867252; 600731889; 233011908; 706697881; 714332380; 39349059; 870883921; 725706493; 279810377; 754665531; 217953784; 10541414; 615705449; 234319913; 933661788; 185156819; 167324028; 20635379; 595632650; 495464884; 670353875; 690355235; 459327104; 909111005; 235496122; 932183553; 803242997; 323263639; 30001235; 125261239; 83672877; 349723341; 952995996; 551057720; 356357924; 285272045; 869182211; 7465746; 417652268; 540926088; 349034040; 54512142; 290864543; 313356144; 500041373; 429308799; 350079905; 921176892; 926557438; 235471797; 387446772; 2648570; 314983629; 164148259; 776371215; 977150873; 1030862; 226145358; 255932901; 699556602; 988071018; 128995796; 620732011; 682275013; 486297118; 31946855; 846237275; 365229878; 100281530; 953375758; 810884725; 878352241; 461038433; 959155394; 611147623; 558023822; 866871160; 914114780; 677263116; 463947179; 737662093; 488152025; 263814168; 683396794; 587770410; 930074291; 398214959; 902949011; 166363681; 557761866; 83846570; 840919204; 92867890; 685773184; 580463657; 354526631; 972054683; 875757982; 878888169; 550395596; 316986065; 719817097; 986833114; 605110575; 490634088; 836276639; 902960667; 264851516; 599572082; 760961260; 799599764; 444266472; 153609009; 769432782; 287080547; 490106168; 290526795; 283030118; 994071285; 153000607; 803456951; 651164157; 838983627; 356822746; 421449130; 200491667; 653282079; 874001000; 407646262; 35581162; 575793348; 100595303; 111727961; 523070604; 583577187; 646147114; 231232692; 668271826; 416813341; 442288808; 185694120; 855968201; 468732441; 765493459; 400226183; 728669770; 700487471; 432299704; 875207926; 919179912; 939234185; 256522497; 59995355; 71639188; 39053533; 705523318; 604930838; 664027023; 157359387; 588663870; 634006349; 545486437; 183778137; 297371343; 494011502; 529138908; 313717789; 362619608; 360566710; 908202470; 499255329; 102241499; 122089882; 513590344; 381348023; 703065747; 951559121; 32815574; 819531192; 951697386; 232032233; 893243559; 219016734; 532013202; 476721528; 667304609; 611290020; 136488407; 627520922; 196609868; 269029408; 530132081; 159851947; 13340766; 331967331; 176489577; 462517845; 500276202; 657845482; 784333986; 333257364; 370515898; 952508089; 232366841; 354453767; 268412933; 582769746; 257721448; 567493382; 176110931; 839295192; 454717413; 983489137; 986549876; 280186698; 9959805; 88500864; 97549703; 409132066; 935989479; 255889591; 30694673; 247786677; 661875363; 57452946; 361557531; 690435069; 36758805; 682990854; 338595068; 997088689; 724279216; 755610582; 360727203; 961063451; 335208127; 953183773; 992103621; 465786495; 28658946; 202068086; 487384017; 330430138; 866166914; 962060973; 161899848; 820582720; 991537534; 818302904; 965400843; 134909247; 387549460; 780558894; 818477519; 495884687; 609311032; 926643028; 443739688; 640805269; 361990098; 990942805; 57621359; 674470850; 875535602; 792388177; 151690439; 858824872; 808259021; 573875328; 945644136; 873447580; 325881202; 579071608; 277642919; 16749947; 679209259; 326283542; 273341900; 690695009; 78432125; 24777153; 566542593; 706305131; 542034302; 59827022; 696590866; 573980724; 300561509; 604702157; 250747894; 993982733; 311490687; 850953648; 987950135; 953683821; 210061811; 900963678; 114854407; 598632130; 822514178; 745077812; 998229246; 978112508; 345336580; 115200508; 667938798; 306036219; 628753262; 312778972; 994899683; 697806457; 48311313; 286688615; 33928900; 783459381; 334505751; 723583974; 411611505; 740590376; 387709424; 768565345; 61497762; 138984998; 327953993; 74587524; 614680168; 328114243; 602108550; 839915595; 167976053; 815034407; 51305363; 652044383; 968080; 238403305; 486937439; 707026101; 336431182; 650809445; 38706346; 500087773; 365441979; 384891192; 710812062; 505124909; 195149635; 210746393; 510476947; 503380180; 653665168; 791933809; 925511358; 4409648; 794661675; 832332459; 478041795; 88409110; 345812730; 701018628; 104666105; 702443110; 196034842; 842449953; 709536820; 728652040; 630903226; 953673320; 982127639; 228444992; 736460362; 932077647; 368029051; 578474098; 386854193; 642649806; 204408806; 231954501; 309155292; 835526868; 695787326; 458736527; 65432707; 552805039; 289046351; 85702152; 275336156; 153988012; 892342259; 597568718; 195414197; 961307133; 304763557; 412828809; 827471189; 305623995; 412640240; 870733799; 141608933; 966115170; 723308220; 8000293; 551131485; 49894856; 232685045; 253966556; 600282775; 645965895; 194679256; 881914870; 662391198; 915805796; 583242296; 844476861; 342755642; 421052635; 961944389; 713862950; 34888655; 496726973; 86543671; 475730759; 445266056; 400912607; 255154522; 972714233; 650641803; 776697037; 32999490; 262027481; 771537048; 901933662; 699915045; 978317170; 452711187; 600608528; 549396078; 277656402; 497078618; 157417103; 283367290; 283323902; 911366354; 274210543; 337341758; 459863222; 533216687; 923401370; 81361870; 24244346; 73404128; 678368116; 686498559; 728470171; 552727994; 366364796; 860148539; 351918939; 134536243; 540860198; 178322080; 8528098; 548873273; 424224954; 243715711; 244216592; 244859802; 979686560; 782168261; 571599549; 15499972; 283486909; 882989248; 554937301; 189412456; 13792086; 606128896; 11438316; 200202283; 902788470; 660188382; 973960192; 632503797; 397735328; 877404459; 135569933; 342127742; 72465329; 291158767; 586963052; 773583858; 620188661; 124823334; 980923337; 23313582; 34213660; 462179334; 893985868; 398703282; 88112739; 32044915; 308785434; 443918175; 632899813; 393325940; 362578749; 312193838; 955504824; 581291307; 359276306; 334963072; 68949621; 516632930; 202272995; 57479208; 614385586; 321105169; 319981771; 249038849; 104395925; 557845514; 825205583; 46060764; 239209568; 624157787; 864470114; 674587036; 381839143; 180811385; 967011777; 832427545; 140069119; 594781825; 860778296; 269975645; 903329965; 8383153; 225941174; 266978268; 360153424; 909367099; 133274754; 425784018; 855207186; 715822532; 92773578; 232035342; 425236714; 528550245; 979653023; 791539205; 120961318; 277689991; 521911374; 279444469; 17329292; 284050131; 952641624; 778960096; 443921325; 176526263; 406927788; 185685945; 904159366; 23511148; 261294316; 568701907; 164934037; 977654524; 113229493; 321415384; 385665803; 598013211; 235204400; 497657989; 709347396; 50932509; 621433781; 335535429; 802052073; 747893520; 515734590; 849275330; 862549780; 977226341; 644646922; 465284311; 921765943; 503240160; 838554450; 284965289; 915447327; 112535653; 337285578; 334425990; 422855962; 190395298; 740831526; 207095455; 431415117; 347706906; 152726169; 259460300; 186981754; 698316682; 911225091; 839675804; 842930210; 149676427; 619211398; 349705117; 701615924; 598936444; 910959735; 409719743; 166341916; 515239436; 83471587; 159988624; 130067718; 958327704; 916167792; 536000015; 160878486; 546335419; 748509618; 988339450; 358953489; 970491344; 230239602; 697367324; 613570475; 297005053; 438754589; 504449520; 45881122; 965887716; 17812571; 10706314; 807961253; 8286610; 679455907; 795172933; 880181515; 228730271; 690211173; 69395992; 825985543; 426447820; 617951567; 54864998; 294953601; 802359876; 964711221; 48935380; 163591073; 814156923; 430270980; 535208434; 319448247; 703444347; 203003034; 598944671; 732243238; 790991413; 110577466; 216654716; 615713306; 130379961; 441240031; 968401670; 901474630; 989263582; 472424633; 855126524; 115779634; 833429284; 578545293; 669735696; 196214608; 344463742; 713152402; 141653639; 540263699; 49847288; 225356677; 517038768; 265272253; 485826901; 385698441; 78637012; 435881804; 702624894; 979740406; 733794509; 934777284; 972637845; 436987089; 950248234; 411297759; 196212791; 17600405; 206974420; 382835321; 985273426; 894998916; 410039289; 234515662; 543900947; 730578523; 525320086; 25140190; 114647366; 465384886; 189219632; 987876400; 574067046; 635994968; 235334265; 779810947; 801243602; 513249549; 329824085; 56620550; 137498635; 579771423; 917493833; 618147880; 38889122; 963450198; 909449791; 135717368; 35481530; 207625770; 624038195; 278210574; 133453635; 384780352; 321958214; 858518622; 271100031; 799452076; 52812273; 324024919; 397548046; 90868016; 905654210; 417914904; 580314610; 152805121; 804977457; 276400221; 986405760; 495284860; 329672825; 500427594; 533910443; 310510580; 954581228; 22128268; 899111605; 135886386; 584272180; 342427714; 438270630; 834972006; 996449356; 957783813; 319785483; 548033334; 822946061; 149635550; 435988658; 745005825; 153493788; 832982345; 102829414; 721904344; 187075493; 422623963; 319594692; 62523796; 180719275; 760473522; 337574757; 614929869; 247428188; 566076695; 140247443; 145048758; 505717505; 61509100; 821301261; 97268299; 500352343; 492861070; 304003787; 880642306; 623874031; 695842424; 961882378; 477549544; 34112772; 183445328; 668032203; 745335278; 924289709; 256113529; 199957678; 642698737; 813485959; 107702994; 903956160; 998695776; 961384526; 163595137; 405757197; 661150918; 344456037; 833053150; 396163013; 657909911; 808566769; 848554338; 249874226; 784060979; 608425694; 668774080; 984648974; 881861112; 239526650; 896291614; 520636148; 805118615; 657449113; 691588145; 694112366; 199531486; 761811006; 778417660; 211198332; 974113545; 347810442; 111139871; 95576649; 464491743; 558415785; 180291961; 825672554; 669697102; 228690044; 905894303; 219063669; 55986663; 25056559; 958103247; 303144658; 838836553; 642974475; 748491900; 172211012; 142338022; 444921512; 804350519; 425437841; 238438580; 617339678; 797012611; 629465460; 323067475; 199762682; 816683353; 100588119; 234112303; 76194057; 698308860; 859391015; 224501511; 618707225; 233736768; 194603656; 102627571; 232157042; 878682709; 564235135; 878015826; 526805527; 521261939; 68523114; 75187929; 911497469; 645165869; 415148533; 128549321; 305951590; 51960225; 427311013; 361054583; 63719395; 633645407; 239047431; 882818539; 56349768; 994297723; 745974703; 399801578; 293370896; 676108159; 465190966; 596886834; 713181157; 10395088; 218116302; 841684185; 990154913; 808931109; 362646549; 74181222; 10486737; 302103287; 542520988; 880575713; 711364535; 470873291; 38823005; 854676487; 285101141; 165021760; 742309552; 494214063; 225523525; 725572862; 934243362; 303982918; 394321745; 229629745; 593065075; 604021244; 895997221; 974691693; 523928606; 131257618; 717861064; 468941329; 792625911; 562719431; 799837028; 76047663; 156999155; 762634132; 219114901; 130900501; 584640271; 221527585; 932627862; 957582695; 330362288; 399045144; 11410231; 785946263; 942657737; 111245722; 458782212; 853014896; 375210043; 687172676; 541574732; 171982653; 596966812; 492934654; 151476685; 741560109; 713236878; 462118438; 501365730; 485062799; 876316145; 193373623; 959302945; 34419436; 221784316; 882463650; 935811919; 312118591; 277339683; 250402383; 195713482; 764111815; 971537525; 844977232; 229106098; 914708288; 21722029; 197327848; 993117276; 452556780; 666012928; 160383720; 300596649; 626560321; 785483409; 551575543; 895297505; 979944822; 266306122; 741910753; 494625463; 882223645; 6334225; 585917760; 710628264; 484465402; 810450866; 731210768; 506336176; 994599693; 291989536; 307566304; 605198243; 256973501; 853240483; 744536030; 416528551; 233978809; 368761079; 275686806; 265928218; 934007455; 144843056; 596278464; 394677271; 739986182; 622087892; 232153455; 187232014; 934347149; 661801406; 388989284; 362740420; 538143881; 209566708; 105736727; 207797216; 545344397; 902236203; 746977415; 748829974; 812120589; 600900344; 719117857; 778830922; 46662220; 393343939; 35157046; 943955093; 246201254; 248657021; 984484067; 188951666; 614027966; 562224433; 357425511; 675077503; 923073807; 408053788; 753418993; 632177733; 573954431; 903812453; 394580153; 60000673; 617323845; 176190192; 992106337; 284698325; 598400070; 573791993; 312934765; 274016175; 852406066; 706844490; 195703995; 211847647; 861419532; 852538857; 397093815; 220838630; 83917530; 476581938; 969164155; 856222143; 695231926; 594688964; 989821485; 501506403; 613120528; 184914477; 838614813; 580972552; 816048153; 168984349; 756310519; 792810181; 118611702; 350314077; 131009130; 763116935; 165367774; 82917328; 735574968; 808157566; 931132809; 243761308; 494434060; 653726975; 359579715; 213963492; 708855687; 269185013; 210217674; 870503657; 997368043; 618407816; 746739468; 482316078; 391552713; 739135513; 34919476; 311576394; 958711120; 779875245; 531523660; 994460714; 449243350; 230105703; 806790501; 284878102; 414780661; 57912935; 956052504; 976670751; 765212443; 783596418; 687476952; 184686391; 476460323; 939840591; 17725973; 833462842; 568880404; 471850675; 978752209; 65146703; 452583444; 789300455; 112612724; 302167051; 785136199; 475714001; 487125226; 517419337; 462969636; 106039490; 727366029; 503144944; 596550547; 374061174; 228824137; 329481263; 66791757; 324949860; 977387877; 771218402; 659499517; 957598236; 687356448; 245115882; 484488978; 781381531; 999443037; 350003572; 423313815; 518943780; 15223719; 909807276; 789481539; 828477831; 4748916; 172347842; 552759429; 881118873; 688619723; 299942928; 398178620; 140943694; 937783259; 331005843; 16065655; 476036155; 130518490; 717744652; 307632277; 518218459; 779426351; 443655244; 354922574; 712444897; 868620869; 395797088; 804495381; 401484944; 617508474; 321532339; 849073481; 445906662; 557438792; 767583311; 328428414; 597408754; 964439692; 52287406; 578667147; 784546224; 532297729; 711732566; 614508172; 976555236; 95100367; 497919928; 445795784; 246541574; 412713706; 258177891; 425696915; 619037118; 335074837; 119704927; 930657694; 48683797; 788501798; 209402888; 729326548; 925636142; 775323283; 561443535; 583534607; 998020233; 463067092; 174501860; 774078649; 198866986; 293304753; 921084612; 416045979; 56597888; 351477300; 638245241; 529249899; 68092518; 277381178; 676580854; 430481301; 189049489; 149722221; 188751050; 661652534; 744678413; 136230450; 852320474; 71682476; 277948733; 454107672; 627575627; 755780721; 372243032; 464697561; 993140020; 351065297; 340884434; 867408818; 97428623; 541239666; 969215205; 695917151; 579113610; 463504276; 140542219; 603349209; 416874143; 966801842; 8430680; 146336652; 972654598; 166718980; 758533914; 413227647; 173562643; 149613571; 116490176; 652074682; 172285975; 114701189; 598706066; 841981011; 789341049; 446779092; 39873109; 111814207; 292417075; 989340416; 751179686; 36751795; 691397239; 770885227; 394900078; 820751137; 384235177; 211112556; 232777005; 698014151; 811716171; 310244959; 181875351; 754255583; 571560044; 358691320; 512749239; 42132198; 675239621; 684509557; 902882538; 721390037; 33385425; 876135741; 813089673; 782765150; 540148873; 422345268; 893691658; 576869865; 972252608; 500510126; 671598983; 139123889; 785838650; 379374873; 716035110; 872044039; 484066807; 989612403; 461694203; 775602517; 218838353; 875792058; 33867579; 933397012; 522608098; 216309358; 329121625; 177106220; 637802175; 350247683; 844547807; 940709000; 346048746; 290250106; 968866774; 161597607; 768195103; 58505166; 32900023; 338375820; 556421718; 76248023; 41995721; 549987599; 244399892; 849274142; 595939651; 945344988; 598166365; 36333655; 639618451; 291657944; 648687969; 665108397; 533410149; 358540868; 953573587; 23654932; 385598096; 511558822; 635878929; 92669199; 338239109; 1968200; 324219589; 460225572; 83797323; 399477579; 767484235; 72943413; 817172043; 622088648; 297014300; 559777741; 400733495; 567381573; 316822394; 670337563; 440849889; 424316492; 928735702; 11135142; 736166633; 226935708; 511299781; 869028841; 76386821; 185044397; 203840501; 849568548; 929061039; 397506720; 917668881; 707705820; 94020547; 720205535; 116343383; 760546644; 840650871; 269058338; 676549444; 305519727; 81283930; 44599886; 982109252; 218523367; 509773021; 17601199; 61019207; 521169580; 881984673; 252756814; 843069783; 413969701; 392919285; 569085672; 543023698; 437063203; 749546438; 165615908; 303223088; 450476051; 833393957; 540585510; 61751110; 523868793; 101540208; 309965550; 260885279; 690068322; 339324520; 2536007; 836162524; 286481832; 756299103; 985098606; 838212743; 86172744; 460877868; 838240924; 151361892; 155831196; 339316299; 40126174; 808510734; 967054151; 169759797; 425259750; 483503932; 110076694; 726671125; 11128247; 939467108; 676770720; 477989613; 108746709; 409692825; 161429; 704745446; 576604155; 396723152; 740711235; 208780959; 189806806; 781194653; 357590757; 245664726; 663954754; 884178372; 673536581; 439474818; 241494156; 590440258; 730820555; 849377991; 610274520; 739842370; 188662207; 21633954; 21204918; 792809071; 597384884; 838003; 692051821; 598490309; 47527231; 451166172; 938191459; 217038708; 251302718; 481610465; 329366318; 653318915; 796758862; 849401800; 686450842; 746104860; 316156443; 663285112; 887850459; 726480935; 304684884; 5431285; 816906899; 944450200; 670917006; 840235495; 802749470; 243580012; 611425416; 297842755; 556869656; 540460344; 709202410; 825864194; 675565996; 359272856; 123476329; 957035200; 693068246; 488097970; 903303823; 301254466; 314710569; 116813979; 143217173; 272431774; 546425016; 235212170; 237041589; 540300276; 857060981; 244519809; 594112364; 135694081; 624672397; 671242586; 946244503; 217417588; 394206325; 738586342; 483831314; 538678920; 761561436; 829886077; 318196543; 28441258; 22892725; 398618330; 488330509; 543754945; 469429541; 183368373; 600609335; 533858352; 750778344; 454506388; 186053028; 105116508; 575705807; 316543052; 866457144; 550971673; 41457573; 613620789; 130218873; 42906999; 910509219; 193371286; 278807470; 767361157; 544724367; 808389784; 223473475; 617692315; 127298107; 505910144; 119555942; 396017718; 241902149; 452030589; 664170511; 835375636; 5513541; 985440470; 110319101; 839615958; 780039662; 561723168; 406757456; 350268473; 402673390; 391760299; 697270641; 958172723; 691445766; 591664754; 222846774; 393388776; 386115599; 845012735; 590631887; 347372265; 403591897; 438651539; 718809759; 408020433; 228864277; 220005566; 755297583; 79600550; 366284596; 891886485; 155579750; 669716449; 44149417; 769506558; 507560498; 958712381; 464654755; 750087831; 305855646; 470848065; 195552106; 984948683; 801677714; 260747014; 573689729; 709479699; 85813213; 550855284; 456965149; 952099731; 86512186; 909783871; 305367600; 83653855; 492305481; 220339986; 152701830; 86356333; 355688045; 283283105; 767971336; 533444553; 64357990; 223762203; 810452328; 856772692; 486580291; 234022364; 692126549; 284846416; 800407084; 391491354; 110493132; 143435814; 144206113; 737927826; 177289470; 964069418; 807199258; 991796851; 405130181; 521394977; 10153029; 758766711; 103840827; 269458708; 907505774; 748754080; 987909135; 769253050; 992326250; 60170532; 460228997; 660674584; 176256356; 746301633; 176785920; 901243639; 591262580; 238791964; 313854438; 646426821; 61372709; 271183673; 730764324; 667940242; 522893698; 306922666; 963518601; 719497701; 511238053; 792973596; 38210846; 145681222; 769285009; 41849444; 282654708; 324751362; 753566434; 461756671; 128695995; 658178219; 918668475; 636977227; 579322440; 251035289; 445169223; 653629397; 295710135; 718166829; 158844007; 202285422; 363560152; 336454054; 985228260; 903149831; 896421200; 175351704; 647920389; 173554806; 395527419; 648818802; 212496850; 717363718; 950166182; 652157268; 790567656; 664001483; 250664163; 178536092; 948246884; 76465393; 270358411; 169216917; 264446665; 472146468; 245619858; 663044974; 399884931; 145578331; 323066841; 858890369; 389188108; 688795905; 739539972; 749979885; 337257199; 546083777; 808484811; 569201883; 93622214; 158285096; 69122606; 311875739; 521644779; 281459825; 864180541; 351157347; 894274176; 316359926; 940220938; 596129597; 297379819; 691929601; 760956157; 676716511; 182710837; 68190275; 918780188; 659917632; 199005252; 240220232; 322435645; 60073264; 693518408; 876301890; 682197288; 26525702; 597810795; 249008103; 799015662; 212174721; 613600983; 982652756; 74473581; 913959080; 417073566; 412100768; 794764587; 968414110; 882387680; 965950416; 434210465; 502366922; 400518604; 46008956; 605045419; 749202416; 779167829; 623461333; 647555982; 866099850; 203150209; 226388730; 553301101; 836619408; 354950105; 72680904; 564618992; 114834847; 889854944; 461902631; 751635132; 218525725; 199142206; 468790235; 503333934; 386376855; 473897059; 22606278; 462696638; 37664680; 539687111; 68636709; 421314319; 606814536; 527095215; 48625252; 108377523; 774100460; 495874260; 170541178; 606459928; 138271019; 606178096; 415725001; 42289999; 323923355; 246465601; 463433760; 43349936; 98175745; 428112775; 973600722; 54320678; 443004986; 912001059; 432491375; 500500034; 610850228; 782112554; 489838406; 473916214; 564607483; 651542132; 743811456; 510511297; 542074405; 827372614; 275679375; 714174721; 666667057; 243794048; 194083408; 453344713; 3186481; 191456297; 114111910; 8901436; 902632552; 97360990; 355433466; 321409741; 334218642; 34768162; 874679563; 599562432; 327839199; 561162956; 982319509; 906074583; 502930966; 639065454; 66663035; 369531303; 745264257; 286417380; 856383917; 844245914; 167700358; 686897263; 582914288; 959409042; 102406331; 670852921; 475068010; 90124231; 822852182; 388649993; 593832152; 978151987; 760788562; 657416548; 509857307; 546382285; 894172760; 156584440; 989943503; 851726772; 355572809; 800343926; 736372943; 328615724; 113805508; 767260877; 29632189; 987799753; 841442124; 961461708; 873364018; 870206544; 507765516; 240113662; 278797723; 168568221; 929135436; 436994410; 339597166; 683260107; 423436730; 715493918; 29801064; 813279110; 194229730; 768976552; 635954105; 187889545; 649005278; 819470720; 782283413; 136367365; 846819819; 822523417; 676850861; 605927240; 425342768; 693387962; 215659489; 91308991; 326614122; 35993236; 653025994; 39294006; 681029639; 643265784; 141946960; 274299338; 374683627; 655964129; 53438925; 43216486; 96469738; 935152243; 640430379; 202171881; 564622714; 53391157; 583468612; 564276090; 867590036; 470349095; 696328919; 871808684; 822474465; 10247420; 983933554; 12137987; 993119653; 745849596; 205495845; 348075851; 501848456; 579259063; 39662520; 158352555; 785474152; 27696700; 332332066; 398529123; 350801354; 375228051; 438337853; 379875833; 74833051; 826022928; 830062858; 250082452; 366130797; 333360242; 904880266; 314254371; 93324061; 180094465; 881972601; 667110101; 865823739; 618712528; 908519795; 152878769; 54073080; 820372262; 166947144; 425674162; 704792001; 596270524; 134581294; 519749734; 381556435; 322555407; 639679156; 630392817; 251095722; 809173544; 911111797; 527533502; 197735671; 97364901; 6143952; 378847016; 598383936; 826734937; 61404480; 736842472; 188253236; 261007009; 712428649; 221046394; 933276184; 65311264; 270984916; 144918227; 953597411; 715522938; 944071606; 207503820; 355282974; 203552759; 699820562; 436965322; 766789006; 214318436; 418128416; 729096956; 552561546; 38929059; 845580904; 583709418; 250384331; 683849708; 62348429; 798590697; 4670685; 591916337; 67155108; 555407878; 694019357; 907006372; 844231432; 33213593; 826535175; 823021636; 519560095; 951073944; 739013562; 184042498; 113875005; 255626099; 267520754; 318529875; 462363525; 558653472; 139137281; 966249478; 480578571; 395269159; 454410974; 411777165; 232625548; 150053061; 700459784; 216743798; 956446203; 58589393; 729939378; 907810110; 182352455; 474873731; 292261258; 627610774; 870998040; 68993090; 812373918; 208252523; 1462802; 886272994; 578445219; 445142556; 356133043; 721200673; 696651197; 478465676; 100157201; 192267884; 730178374; 157043646; 518610253; 710262822; 310566485; 58218031; 517133682; 620081754; 379987514; 921332226; 885964726; 426470265; 305758900; 953921383; 672159126; 629466289; 907582591; 491056826; 872032101; 390539114; 776851092; 474722564; 982071829; 873176795; 643172955; 465546526; 213552732; 512597633; 927367174; 155500029; 989512396; 595709292; 403012782; 182461896; 535383087; 101330504; 40560197; 71413773; 84286873; 886863395; 719306966; 835555835; 607672717; 111020325; 173075978; 917615181; 85777874; 366661477; 390183771; 730090322; 803114421; 697194701; 134660112; 405808910; 168181595; 250941569; 166335089; 664542136; 136683298; 970811053; 520909604; 854109579; 197117053; 838977026; 813323178; 285216868; 592390147; 396839261; 468768647; 335633385; 815932334; 771959530; 911012089; 855090098; 237361326; 906984036; 890747369; 862860007; 385000335; 749551593; 144128209; 693424168; 343418343; 947736626; 757132713; 795766995; 240207773; 770537517; 336061826; 28843243; 498408247; 312723364; 73094130; 826671366; 990680311; 148679413; 343989786; 548239600; 101227779; 768800513; 288373497; 644575924; 162101554; 690766879; 336415725; 193261721; 608855925; 212105816; 539787258; 117260041; 823498865; 308298318; 842853951; 932270762; 434073915; 11806936; 800538444; 397541198; 235101348; 586987999; 300648795; 931643204; 940019881; 736295324; 803492521; 13444041; 118760167; 296549620; 832491841; 925796429; 995655514; 79153792; 91576135; 453639024; 751367548; 929530299; 696923392; 258691256; 650482476; 450970111; 506893987; 407063922; 886320217; 462254032; 425601504; 765670266; 739054002; 415210863; 84618837; 994132003; 392498747; 924277851; 368659679; 892345370; 844697374; 501570416; 82230036; 122450583; 695284737; 642298762; 496384781; 658667253; 248123296; 377339701; 766232423; 268426645; 651376096; 250682373; 143050214; 96814932; 857737218; 974274506; 797516365; 484011918; 259721501; 267384060; 501104478; 201105573; 484971205; 671204930; 25631703; 865434490; 738334545; 673098877; 883269559; 575235436; 439186722; 325136987; 625333751; 716290796; 192576972; 562520268; 104334510; 126041472; 814745627; 883553365; 778006804; 845837255; 847775280; 398674356; 576000096; 280477878; 539015963; 456166735; 99386071; 705359096; 784806774; 996771230; 302418112; 596607932; 450537959; 802945012; 496112740; 193698235; 178509021; 926661593; 404145477; 794128852; 426552958; 943003584; 441213367; 508991477; 183153542; 798429200; 547707004; 291871557; 146229116; 339500331; 870409554; 44825864; 782737645; 992115859; 983853501; 378366774; 126060004; 502530551; 410584054; 736167388; 878335839; 140190021; 599630565; 958589494; 176081815; 233543648; 703427482; 851077133; 533270426; 572709956; 369964648; 747354837; 733856411; 161111097; 645478535; 841761031; 572422458; 896429025; 673317578; 117459974; 487071495; 892723364; 672910687; 995895271; 810130950; 767425784; 939308310; 762908395; 126537753; 829215166; 424102144; 471153582; 608370445; 703104229; 206132265; 545780814; 2796834; 187130270; 667673201; 367411375; 792999065; 951187149; 970861953; 565922876; 957834689; 722980043; 60161992; 845510673; 201245573; 89012483; 555372967; 166682261; 271818650; 966875233; 871801498; 431872389; 632149895; 241655358; 735589394; 318387988; 434979895; 333559128; 873751675; 235319292; 709128644; 382387768; 970494639; 151466850; 390402311; 74811321; 302859390; 918968723; 542509286; 408269165; 432576277; 299348486; 965340232; 945063776; 776904042; 314814357; 917537217; 445226053; 361690019; 377854611; 806438813; 874356011; 953408592; 88758728; 629721394; 394560786; 467327936; 978591162; 625189536; 84483516; 625765117; 320081860; 55459587; 481004160; 182883637; 697078908; 455207330; 297193843; 908466859; 180042859; 891381601; 474646235; 822804297; 902589720; 430815497; 764848479; 26075048; 517571004; 857293532; 950364011; 543570376; 497956348; 287840258; 46407443; 323241241; 167499937; 626120819; 275790081; 283275808; 990213455; 509150790; 950317751; 582775954; 623727075; 243781058; 935120728; 319461014; 845484719; 943580950; 136505467; 140991699; 863177744; 385813298; 952788056; 365289916; 752343863; 531845344; 379702328; 884056060; 23981423; 999573993; 28561136; 617221273; 678371576; 368125140; 734782184; 549020851; 187150746; 839029028; 225603459; 868042164; 935844717; 599650410; 647290056; 324236734; 817906739; 141316591; 88764454; 101591548; 40209308; 666924417; 910129813; 812234058; 345891800; 130302855; 654126196; 693355571; 778968941; 872322011; 449346707; 227619445; 116339776; 536960818; 825573405; 141979913; 793990758; 73629194; 425304557; 755327124; 880296659; 462748754; 164926548; 9361391; 846731182; 634305279; 195342500; 653982201; 152399071; 725829319; 102725646; 779809543; 569692954; 753792875; 749250577; 140447952; 484077933; 971334335; 108026300; 568415611; 825623100; 175344578; 512518839; 613395639; 125910018; 444380637; 772803195; 574240869; 440931800; 778183222; 316832677; 546355408; 572386009; 120387577; 332579685; 314434990; 771095260; 691989790; 166788753; 618493741; 94787043; 535294483; 134014637; 63135069; 573694892; 993253034; 756149954; 890921510; 747382767; 220740219; 70331102; 448492709; 128317721; 656152344; 274077342; 188473908; 871453827; 945610115; 789688342; 609795213; 283398208; 980704757; 232881411; 615546559; 441828414; 858067773; 905437065; 949516905; 814364405; 64920716; 189705642; 30473638; 277876935; 319332043; 908735102; 22304275; 35414842; 588613415; 468919456; 701931309; 361552819; 116587596; 804355479; 644629337; 458577604; 409287006; 317347166; 107964507; 748673668; 503393422; 799914420; 457321105; 11964948; 819876582; 516938402; 155329154; 153523346; 320507364; 512086134; 647534999; 870225804; 953312735; 792736853; 585450092; 573324524; 504264838; 944363572; 791335959; 980812765; 653508220; 19780945; 601844626; 51810991; 454887031; 156216758; 158578915; 164507871; 455462420; 868225095; 525263462; 857664008; 536319681; 937116595; 607766166; 555805768; 741721519; 432722554; 76416192; 459042702; 268869898; 368859267; 518800977; 803028566; 946183403; 664274029; 986174087; 378015499; 563181951; 314884474; 16704275; 234822475; 122640601; 435492063; 217836461; 392364179; 477934791; 286509734; 699541673; 143435145; 574740945; 632999480; 599243982; 539537864; 285584280; 241321950; 850680887; 99822252; 997008170; 340053751; 44841560; 120445549; 747390411; 612142224; 306863536; 271866773; 4279523; 786506700; 104778935; 550809450; 259291966; 771566343; 794959554; 834502131; 141352047; 659784828; 683953636; 518986060; 511554741; 493606043; 163779078; 773261369; 343282959; 23040400; 340085981; 839972836; 297381677; 536951838; 353572825; 416762909; 393487177; 795382144; 759241069; 649753264; 435041754; 816641707; 460444709; 747996722; 680123046; 543020478; 949293494; 686692738; 692848656; 152511843; 851367726; 834837008; 148696234; 703227859; 446736724; 285327443; 311612749; 770022775; 92171284; 468972874; 614757249; 965618081; 442273032; 779796203; 725221300; 829474811; 822329157; 638885601; 249094144; 866393753; 501542622; 544326778; 833374080; 558102947; 806000249; 155187883; 628860967; 672321290; 460096696; 73698378; 7609235; 398681639; 650129125; 559125644; 429643918; 946654182; 297389479; 162982966; 545386539; 320066077; 607903064; 800667396; 433348977; 975444296; 894944829; 641544745; 264327659; 829688217; 449088405; 525696858; 881923008; 682682314; 772670330; 632257526; 544151439; 680748951; 314168151; 218980153; 250359; 725506909; 330060892; 365560805; 7570396; 113793202; 700329762; 640334633; 177002449; 340193573; 245509781; 831988077; 226270173; 100113585; 973495055; 452955372; 719750472; 596764799; 286080670; 132975382; 848017770; 763241118; 106167406; 80069461; 275409312; 138227937; 127959675; 52489594; 77425962; 359147853; 490272267; 692741955; 260222264; 976469822; 154336131; 730617779; 111351429; 813190014; 3818031; 22270227; 921464503; 601288662; 477458257; 12055801; 306931187; 331144732; 906559065; 90984380; 975003679; 369678981; 11489379; 859964362; 625071750; 249614149; 915046031; 348954827; 363727948; 579779793; 493581796; 948567040; 265371504; 154729605; 387808411; 828796810; 581718364; 327614067; 710508897; 782332160; 155538252; 976389310; 928893857; 34746898; 293679122; 448638550; 829414294; 794870870; 549938955; 589479191; 740374868; 376448556; 81879798; 326071974; 963294609; 637429938; 847038364; 69703514; 853193074; 278658240; 713777245; 344786130; 600289795; 69302356; 649051643; 918713653; 674426680; 571187767; 506003956; 383455497; 92965884; 793227045; 728442281; 762841203; 818406435; 746501933; 653090944; 789798178; 449664138; 916927573; 732498028; 824414298; 199492636; 798758454; 294594632; 431349221; 102168853; 513516416; 191476263; 210400567; 256052903; 816165162; 853409622; 928799826; 994918325; 932553146; 555309709; 752418717; 349456191; 824199850; 217706720; 763624030; 565002191; 75969580; 574427774; 978865287; 567191805; 408960864; 482004040; 110685283; 432271847; 557668078; 824224432; 18648175; 10364359; 964873152; 186303998; 855902190; 180753696; 557619158; 218770707; 110855367; 215938652; 315449814; 330333255; 610724021; 736004060; 644963692; 455765239; 479242282; 132436626; 834518337; 560627114; 181236259; 725732205; 822876330; 202481807; 945303569; 637213095; 968758262; 624037207; 996252948; 814471981; 993950132; 848328985; 88621655; 674533178; 509213230; 408182794; 489403380; 855274501; 433822427; 316910125; 834253047; 783788744; 983682609; 562627094; 664776664; 29300829; 298515518; 94249560; 861406458; 765718952; 460741726; 38478667; 789221932; 499806861; 187072569; 50533955; 218763282; 242244907; 447699842; 247651345; 455887629; 81445289; 69440507; 345050016; 661703186; 420269540; 28486810; 899255912; 964521444; 753835929; 785643732; 676846047; 792056985; 547386165; 764590656; 906296127; 186742188; 766974237; 451266309; 153295625; 143052523; 330870232; 308403090; 219314918; 797942132; 177333740; 798291908; 687113329; 986363035; 106003676; 91292166; 478132781; 59185106; 665272528; 382825735; 815080387; 42614377; 670164987; 26673845; 254627834; 126189754; 638141412; 497019130; 314237757; 289495368; 715947466; 371238411; 7712945; 117291204; 799004181; 491068825; 571243388; 78395140; 245840863; 975682698; 783797669; 874671231; 60644705; 383135238; 245307795; 599721489; 768368921; 427804442; 977707058; 721684026; 501471154; 452073492; 526721976; 434178626; 954201161; 858516051; 557698322; 672754934; 787250561; 54294394; 323760529; 973072222; 874481693; 617919028; 25619748; 257854483; 716977858; 975390957; 648611819; 792912088; 84268966; 99675491; 395744592; 324574014; 705929169; 730770477; 456168081; 239013564; 112971413; 408453987; 528737752; 986748237; 783830279; 444790318; 189958744; 640940618; 98089799; 248482809; 490543308; 94547776; 428055548; 988840089; 566655153; 691098228; 680052681; 374524429; 351439019; 280642707; 45258087; 925672261; 883517522; 730956688; 406335493; 428668327; 328122645; 440108814; 833232513; 347965985; 951214961; 246576132; 487135476; 897335554; 145826579; 4153090; 120348453; 520506407; 515789724; 239270928; 766863208; 433573730; 735781430; 663190755; 687435807; 281340660; 307350535; 22807841; 998543632; 27678536; 400573950; 139758604; 841031690; 72083718; 355204718; 731558862; 80232386; 764216166; 378226759; 6590466; 122577154; 520707179; 675228003; 853419648; 906300791; 206639514; 251667329; 872665542; 251023013; 81222771; 694960433; 863374689; 802359235; 367993107; 640518336; 73138984; 246668022; 450527982; 705011681; 220937348; 591834622; 672487494; 189477688; 399071972; 922982397; 72039682; 720248062; 822781804; 383709297; 910025432; 529839663; 488370958; 662172394; 751075197; 593328987; 517816533; 248879161; 838734853; 628645670; 730786537; 905632059; 398310529; 957844463; 722680819; 123468267; 196576455; 801306672; 227115055; 813551158; 570937279; 632863735; 617777033; 594655585; 500783104; 928642093; 266920967; 822959292; 16929881; 821819524; 510255305; 38417798; 606281844; 943236692; 824901300; 154313914; 597999642; 172015391; 413900566; 324883491; 208807703; 926319416; 148127959; 483561730; 258127069; 425788563; 954949545; 565596283; 159900286; 593150465; 80157665; 435073345; 617655458; 400406327; 150047010; 895166013; 979817919; 16229942; 25267872; 605644018; 250097234; 466404922; 723175020; 243833686; 635163298; 418155738; 936195886; 682870098; 613331213; 44855373; 225442293; 935853134; 765005793; 616399381; 138150741; 168602641; 311468523; 160425349; 585114807; 314999581; 615413171; 699315554; 273595672; 782374020; 731329388; 27571834; 263501243; 235809533; 18319048; 84337407; 646403120; 70853526; 152629256; 395829989; 126637532; 95852831; 613452484; 366311003; 556033697; 161818222; 500297330; 323632654; 38791842; 163857061; 307890520; 795238172; 408691296; 908105130; 390436065; 273367170; 149080851; 832557043; 490600497; 888851427; 814516515; 486774766; 526423285; 17648515; 428683307; 219929549; 176261595; 712330270; 101128825; 17395307; 616476515; 105186333; 822195301; 633190682; 97825498; 297906695; 41255667; 863388094; 485453900; 705880444; 517933085; 9496792; 606366884; 21264073; 342317826; 894785865; 70646775; 894789376; 602136402; 623393174; 737339635; 237810328; 798572845; 661346178; 619571380; 782295742; 534169457; 814768557; 976459095; 938042590; 637575226; 998561150; 38733597; 603446004; 128048862; 102691584; 88186388; 607725678; 601645764; 627183143; 809918753; 9019218; 30700310; 79866920; 272325602; 410772466; 621411835; 591638797; 974633922; 93713353; 939400650; 443690755; 63675484; 472567819; 521139099; 152419538; 524715632; 191438956; 890859059; 6776185; 410514620; 634064515; 461037548; 153177353; 71715029; 596828341; 299799933; 351940389; 485048407; 73381106; 399962708; 533549030; 486255852; 234047647; 177904353; 733534195; 902062469; 51387293; 338709975; 55086399; 429933177; 42008961; 718442739; 710363516; 701401527; 870290139; 230927094; 218726850; 267847101; 542710036; 619333613; 520163519; 596540243; 95910354; 227987541; 246514176; 342616342; 414536786; 174731113; 13166335; 595463336; 474574065; 741628842; 853984814; 191427497; 355033646; 832172400; 485220046; 582881830; 189251335; 155405597; 197624559; 219672220; 357672047; 477103121; 30599531; 193885334; 621544420; 888666534; 460978028; 611775697; 522227088; 221600539; 447657224; 327741726; 4681497; 864291818; 792345197; 370889184; 3088514; 184696579; 205959930; 265559999; 577302387; 807543710; 391756066; 576828242; 72987057; 989920511; 314386016; 152062047; 594009914; 115608194; 456930663; 154582844; 119404200; 113371582; 724063568; 91833821; 258794394; 732793783; 779727530; 458586870; 910348859; 315750027; 220339839; 633017744; 724304452; 69037982; 583033272; 543073665; 468716946; 81589049; 573295824; 236836322; 507657707; 337665054; 118688975; 829969275; 753055263; 498802642; 199171788; 549863309; 254384291; 153530620; 418789160; 927313984; 238331378; 424935219; 902316678; 495222809; 229471851; 378026205; 464217119; 801581009; 130479389; 767157009; 774403995; 637281114; 493257789; 204871255; 301915766; 677889777; 748407210; 811275181; 70395693; 670233365; 36237643; 43601191; 735804133; 544535916; 844762402; 986068938; 139938271; 133994273; 70957955; 87815522; 944270058; 65628194; 602793543; 411346059; 477739472; 262570885; 149034197; 768689248; 477286635; 246924545; 758606531; 614265782; 172834893; 203902236; 530807736; 710516721; 614376769; 513669671; 564838564; 948384349; 576197673; 756807006; 203467953; 482131019; 410651561; 8075234; 542435180; 861894166; 354921318; 849911051; 374965441; 656504971; 673398195; 321603851; 508559559; 666425310; 139473879; 725260578; 646527600; 71559376; 485798556; 494517224; 70570882; 881080110; 145830712; 45584510; 760141449; 58086270; 989161278; 91913872; 455414313; 607947484; 443697201; 473253286; 190792892; 539988137; 272312561; 120213283; 667039206; 252227644; 454622880; 230093467; 670861284; 335977983; 606867754; 942341353; 119138127; 275792218; 872423222; 256767769; 688869188; 412830432; 666061505; 34056885; 486508402; 304245646; 520425309; 297965032; 902342160; 279750017; 414268144; 373504707; 352536494; 897795358; 421593790; 497149101; 457245073; 311106536; 209627416; 974667934; 857451410; 518944075; 704347711; 686308345; 452117020; 630884991; 697920509; 889413515; 86325168; 311152926; 12944262; 903718354; 373581411; 907056144; 224419446; 571503820; 416816088; 500105118; 524915246; 860498701; 637806023; 842035640; 150885990; 845814940; 133191617; 975576855; 140279040; 82681598; 55666894; 899066753; 84925764; 813390881; 653654736; 383555701; 243973356; 785888732; 898368549; 676698366; 409545517; 127776642; 170942373; 110613328; 907575394; 57725516; 578796935; 898879104; 719387965; 848199954; 810694395; 485586935; 194697880; 103261032; 388608624; 212448228; 758319212; 320238790; 207418497; 116782895; 712535663; 608991064; 785525144; 640712525; 290880051; 204774784; 745379105; 946507383; 897881131; 95134397; 839869677; 199605242; 831197201; 952372187; 758287260; 164261043; 462119008; 917235640; 801565288; 479658551; 291295002; 841441181; 77370219; 80451679; 820806338; 928390924; 605768067; 956162233; 472247286; 88726465; 113520311; 584596704; 285164432; 158223781; 371161392; 583068369; 96203622; 344386584; 493822891; 980160473; 207899488; 676897580; 981979477; 110359846; 354663452; 795504923; 583125272; 581970434; 148533286; 988869933; 430275343; 924061921; 79353698; 708120443; 34428812; 40783187; 758991760; 873834321; 824270967; 435256467; 115677896; 89558488; 917227465; 993511910; 654309058; 682174716; 594488997; 131607160; 950561348; 527327559; 149032197; 2722355; 512817369; 897582713; 536888657; 768280450; 736861636; 851400453; 668458582; 742990947; 450713365; 690386373; 560704577; 761497608; 98764977; 967549766; 691733464; 11369445; 956105927; 633021371; 842789701; 615377050; 337044466; 10340756; 951254477; 446625120; 534348725; 244816494; 589392264; 778821682; 47972684; 936991886; 131451834; 959074307; 897009421; 636348630; 45787785; 796612757; 420498906; 621931126; 939646302; 945877640; 704013299; 836059618; 157902250; 12137207; 917175178; 645928709; 689195401; 749082265; 830288681; 210856714; 21876957; 773711408; 2160241; 582583932; 576772702; 312088390; 717371973; 250569050; 87009367; 415718718; 689396212; 78261207; 586827105; 691946546; 460254495; 969657205; 827075437; 523426374; 830150103; 677574592; 746880962; 133790703; 500979678; 243682379; 68807879; 276258182; 282271171; 145450917; 461967913; 410782807; 9997560; 759041342; 451813440; 418333589; 329220693; 370380393; 665109197; 457808869; 828104299; 974490211; 29049982; 329288650; 395289146; 392539004; 174502709; 577613442; 895109517; 75277104; 297907604; 130809399; 340628735; 437101900; 619523178; 712921322; 815166196; 321130095; 668107469; 216326609; 857094090; 575685758; 747966894; 539800968; 70190863; 511042315; 147078166; 455830025; 27134580; 907253912; 764659204; 571286601; 318663285; 315301684; 171722844; 398651801; 260985793; 434898432; 916090203; 909161211; 594754113; 620026481; 241919805; 622058598; 671332560; 360924856; 328204549; 840070920; 862153014; 970563959; 858278262; 873267813; 718861951; 417000171; 887921966; 456637430; 948217321; 734977215; 525207712; 244170579; 396813836; 34742954; 500523373; 847983383; 85164499; 940979703; 584348100; 822897974; 707251941; 704031467; 974411837; 44515729; 445208519; 422971647; 338291197; 809369816; 942266851; 771209737; 111984565; 773787912; 67870169; 58724598; 691861919; 235108551; 772555639; 138875457; 230002801; 925306119; 309320776; 402847394; 176931448; 403379594; 999075680; 514530717; 528489616; 763515118; 297519964; 476860890; 267976428; 973237854; 671161092; 120302790; 128300636; 162891793; 873091755; 553782187; 32923232; 365872215; 435257964; 504098887; 945516462; 190992407; 296729058; 350414400; 303132348; 932166574; 53207399; 969965802; 382237064; 244346859; 359648425; 41797209; 934790097; 261443606; 484209773; 771447287; 989781717; 726556473; 999104715; 438710144; 321829015; 406220601; 648721877; 254237969; 65014417; 7415832; 939850242; 613061069; 907366704; 616698690; 600726324; 844645737; 886477842; 863229716; 254598129; 99040456; 723959456; 922624637; 147799631; 484665906; 356550204; 983563017; 758122872; 866198363; 375809858; 556139810; 834491346; 410248745; 931403479; 490467639; 554659450; 897856179; 739214920; 161500438; 283151294; 892067565; 131783173; 604190423; 891836579; 650389206; 349474614; 359297948; 467261265; 839275372; 951096686; 3618722; 978909775; 700723532; 892681586; 340320558; 365491991; 220058940; 666772318; 39511707; 750257253; 668850299; 32913987; 975794017; 922629816; 349520006; 701146330; 315372714; 118661482; 907868479; 747236776; 47913721; 747499008; 425394755; 924349351; 973040113; 412260701; 312818803; 158073712; 208107491; 328555737; 325407118; 836910890; 895921453; 549993768; 373119081; 726802565; 490589828; 758064638; 779431824; 850848033; 446942668; 202185650; 334450820; 745591594; 167343711; 114800147; 792606757; 408362842; 8275247; 753731054; 422438491; 381891911; 400984128; 524481208; 57773056; 683163894; 571479950; 235112092; 152127344; 97092228; 439909624; 333760915; 977902177; 861867260; 666752643; 942837155; 738359525; 523645912; 391600118; 444799705; 445698445; 634914783; 220027628; 708584818; 160975257; 484872522; 321462316; 433918545; 773258017; 964607727; 174660043; 570120687; 653935897; 244346789; 355714095; 783655287; 110402401; 743463181; 783110991; 102109035; 803604025; 55598292; 252075884; 387655319; 431384653; 795830605; 18371316; 561401438; 721974197; 114951709; 307683925; 272091573; 923769490; 473232910; 529901166; 962744357; 208041383; 772820073; 38924308; 416999242; 317930293; 368798422; 661204508; 71615221; 440506677; 28658788; 582591679; 295708085; 79872400; 453580063; 674704917; 752482745; 936620702; 763009656; 150904461; 316884143; 65003366; 17757695; 883204543; 870548686; 210816309; 68159514; 941087745; 943784067; 508947193; 822170877; 95224195; 473499561; 763563129; 123621955; 691346549; 147905724; 750579535; 326704800; 108508276; 598368341; 159872989; 819389483; 582005783; 365930006; 231482203; 774918057; 188782617; 972744542; 542985121; 980578995; 106753758; 230408583; 450315597; 734005159; 824775738; 664240161; 919813251; 870439061; 131546678; 717594900; 393935891; 323152376; 951206089; 342153812; 564440003; 305242461; 681717990; 508319647; 43248030; 357762160; 392296333; 658524714; 310008709; 899819862; 759846170; 174734585; 945980858; 614667479; 692441556; 492486077; 741100596; 87423365; 920010658; 191932439; 319112111; 744253714; 233566239; 371466185; 833059978; 837786401; 213001560; 890978300; 602925497; 537077284; 318169276; 703638730; 113388369; 327031614; 109616158; 518763281; 996938235; 541672322; 892108842; 530623004; 287427600; 91136705; 322843887; 932443835; 896854247; 553968266; 574014113; 200506112; 31368682; 203384892; 914462254; 461288372; 661680098; 557388811; 331052462; 195184116; 604472224; 292709557; 256938315; 331300418; 544890368; 887095271; 439087278; 568073466; 973742352; 126514013; 591989927; 295182847; 246378620; 824495449; 384896537; 282204798; 711054013; 815652987; 182740342; 537606479; 204652739; 109295182; 685626696; 428968117; 314993047; 997881891; 935030561; 441057273; 4353999; 986116423; 436237489; 994008535; 765275720; 152583328; 973121224; 861895335; 679716567; 267568710; 826367153; 498133032; 104824745; 809900454; 604052174; 647251685; 469978089; 343636177; 993938230; 277103936; 755134612; 194765050; 522870822; 9525929; 453305080; 705532921; 788485133; 654223745; 240893473; 433368860; 396151139; 876287545; 942016004; 394400976; 183139770; 753439935; 16482884; 74153928; 105673088; 131274640; 931694829; 536944066; 531676448; 525433121; 538687978; 302733709; 385252157; 655585847; 349116304; 640856465; 714351334; 180059136; 229734664; 875477147; 469158939; 334520211; 706095306; 576960779; 612414569; 706412438; 782438352; 893949503; 49116056; 550270449; 167631187; 697446117; 559953143; 724260299; 206241044; 465177151; 570167383; 315518577; 996344793; 520403556; 557066833; 98848892; 321195504; 971639911; 934958853; 393689587; 387592688; 956746161; 734055765; 449070542; 406847364; 422924355; 39836533; 388598133; 293266517; 335387816; 728694242; 47830415; 452991846; 638177062; 886640939; 202323072; 489195779; 472310824; 47825640; 408019857; 211507981; 889089313; 892640149; 624189735; 437064264; 352937136; 853713602; 6067973; 785197831; 773881007; 867265480; 4956879; 596633406; 780207028; 748228620; 898302151; 460979363; 228769532; 90321207; 37352606; 8960766; 176494791; 213376174; 23814436; 229889863; 512672198; 437684568; 252998119; 113051724; 122697921; 897395992; 261421594; 357358272; 508851149; 388019548; 752197510; 927176796; 147305254; 504013831; 299110426; 855718982; 174679512; 948426736; 308682504; 758088227; 388759491; 39233858; 870257119; 631716892; 875762971; 961337489; 275336469; 567491037; 70837343; 423185407; 808657161; 283442286; 188018029; 531029166; 616706714; 19525019; 901426336; 650671043; 159072103; 578395691; 913972117; 713326385; 424410997; 442579801; 444632696; 612580972; 547212086; 935533347; 708473952; 227550807; 185371338; 390550725; 885709273; 162554710; 236329027; 737727317; 292515306; 754737813; 576986482; 368191796; 674146645; 629861908; 221241874; 419138508; 865992131; 470210619; 388968498; 117441066; 663599400; 440054224; 317997809; 847999017; 60996199; 872942093; 758308133; 939793521; 841522295; 975926622; 357940627; 142623708; 596234994; 18583713; 463502293; 356463841; 432022553; 662876960; 499701618; 842266814; 77325287; 976888172; 35662175; 384624082; 54677330; 896748893; 812531415; 304982948; 299773502; 180910260; 84737821; 266748056; 351269052; 258959313; 269077203; 516661597; 675065566; 941948350; 845239224; 706257059; 389346998; 373900824; 143552267; 916697086; 965307886; 514298947; 672208212; 644662089; 556539008; 974107352; 213882084; 19516788; 104788722; 935197979; 655462594; 861656211; 46853438; 462526007; 40434493; 187907463; 792235940; 268196122; 221134340; 303619783; 107932346; 562464196; 394815099; 962935155; 487984872; 640006630; 378786662; 304058729; 987348000; 380627871; 173849265; 878860841; 771259305; 908390158; 994368444; 356609090; 808012215; 805162786; 244571652; 574003351; 471362130; 770732387; 851832213; 492118381; 396068109; 645269811; 953974643; 433427989; 403252528; 363297296; 144538220; 573166509; 772899924; 318677830; 562559350; 28648918; 924578676; 570448645; 192628492; 489192013; 709865314; 331441340; 131879515; 25536171; 713295258; 659947021; 615369000; 554292120; 18751696; 472882353; 271534333; 265268256; 58458586; 105392515; 694419840; 832379790; 903173330; 272584733; 121136076; 971535805; 608776376; 631015627; 738969536; 151669569; 481186921; 974608718; 536103525; 113424074; 352035245; 572293276; 622977803; 612798337; 913667652; 896074838; 900986348; 10057748; 425048234; 831569974; 164931289; 869332833; 390461801; 119287882; 948612153; 835054941; 64873963; 687448147; 624228437; 644532673; 402947762; 906052358; 346258454; 243148458; 793263317; 841958256; 116453136; 121191887; 140556429; 4369793; 886273109; 354040573; 568974011; 189182379; 159605555; 703511977; 9931825; 292307826; 813415209; 568236278; 873330311; 414456726; 898411775; 320026589; 655576635; 330224625; 379642089; 124549144; 566740044; 424176299; 451978714; 899312974; 147693843; 11293260; 903161519; 54329462; 97761597; 910290025; 488269707; 974943903; 654561394; 66789580; 185836296; 671685132; 202424624; 98712859; 656528823; 349734464; 616762264; 348232843; 113961305; 699801092; 176099971; 963153669; 287175030; 624479822; 989632914; 77246486; 660526733; 400321950; 440471877; 118187333; 17093199; 358701044; 305134918; 482666284; 656700235; 257202705; 61749441; 684565902; 853324820; 952924805; 759079919; 447728929; 704796880; 138347922; 128442580; 848513077; 181842935; 936335087; 134225379; 304807785; 802256003; 604343865; 968659146; 801616700; 787992113; 425994249; 933219240; 830613508; 384577294; 219398608; 663274838; 367959059; 751585434; 374451877; 711650619; 380979143; 796039877; 261936184; 849421496; 561652520; 146515690; 18966445; 898417520; 953464208; 378947621; 202188167; 888873533; 504328276; 843880531; 795814922; 494802316; 524341068; 870423704; 432494876; 842614832; 443855379; 306557581; 528800162; 732194326; 887304987; 332627822; 233189462; 504981122; 51043141; 370655737; 760647539; 654183225; 543312427; 436562325; 678034729; 490818356; 304272740; 594795867; 952458368; 463662700; 410880627; 844398133; 891532866; 149505404; 819410272; 280422395; 119417016; 786445639; 409925014; 814498446; 506342168; 896590252; 156561716; 718291297; 768622089; 474118039; 731459452; 843034720; 290700353; 629020904; 613879173; 710953464; 256823005; 388590875; 559425222; 582365718; 622038039; 508872286; 790380106; 539376522; 234445354; 355752633; 574341270; 792483628; 74469735; 969077063; 802599764; 565480416; 272038720; 438083990; 669040030; 380589503; 41209055; 886071850; 432083638; 22727062; 845724656; 643704692; 844898512; 384220220; 285447924; 4581843; 737871565; 646129020; 383525703; 96912955; 860501922; 504658773; 72470098; 73121062; 907485123; 537352080; 136447333; 45796825; 377346461; 496868167; 339949169; 616379205; 973383965; 292405637; 252247048; 374986262; 514647041; 399905614; 358416417; 765942818; 943953522; 4498282; 741498589; 747136108; 786765548; 111312900; 954793679; 185355380; 370175835; 587557473; 978160583; 888214355; 991614966; 121732191; 557029992; 976594545; 658421606; 207983658; 159822950; 734973550; 370256822; 628924226; 157495767; 828427629; 745894413; 671258756; 75945124; 695212356; 533366192; 869140298; 826855139; 378475419; 238501410; 478038807; 4994280; 53132738; 284723855; 726357016; 32025022; 424450753; 749368249; 275261145; 62201615; 319919194; 400241431; 670589381; 663528021; 978605192; 847423944; 231328792; 487460855; 116972207; 216081711; 560612657; 750648123; 511879252; 478800767; 245837621; 443807583; 558051246; 403293063; 677078556; 568598802; 795677368; 250736866; 767634841; 844340540; 516489996; 657385413; 904593322; 572775206; 317272459; 525961366; 384875101; 26942995; 380425300; 926918615; 260054523; 29307227; 902738656; 677701701; 495538256; 456393878; 882205921; 762758406; 33086750; 600257622; 160741517; 267120963; 452037721; 961995150; 490012313; 231610223; 662918837; 388870725; 539804678; 838374663; 102637032; 178519889; 304645570; 304811942; 718473640; 936119820; 402905607; 772924031; 92172179; 965284760; 289628208; 360104078; 580074665; 29769301; 831118407; 825456384; 506597333; 862822554; 622079035; 478571775; 739483512; 720483455; 388219479; 177790139; 579345556; 382665303; 551567275; 89669640; 162407259; 384436686; 462628460; 486745427; 369067462; 563926906; 501939065; 960127551; 444901733; 403088373; 678464889; 319988631; 569898486; 913165351; 478794965; 262898915; 774209864; 480797472; 914837248; 65985007; 45334999; 843201860; 28801187; 287147857; 957408941; 682861006; 584734396; 403167998; 984362890; 500257721; 856594256; 528244865; 707771667; 980330473; 895780067; 259593816; 838878176; 370105724; 288103794; 191702596; 494661117; 20984306; 568021285; 965006156; 181689451; 935848212; 132594204; 922827728; 69205709; 288507984; 513473106; 486202606; 454899819; 26712989; 453310031; 581797927; 411141410; 846737280; 116186094; 326106936; 809216551; 7904790; 979453540; 623208614; 276850322; 601119332; 906540098; 326844237; 753465612; 552654419; 986772339; 19625893; 706199313; 415911701; 788213185; 308397603; 988533951; 431347944; 412465514; 782755244; 603663614; 476126821; 61695130; 981233142; 77947254; 274331433; 52418929; 904936134; 501957264; 681624643; 235282521; 804211255; 917569771; 404213800; 87393984; 499260173; 151875047; 725077696; 597278976; 361567274; 803133059; 805938421; 34131400; 980010717; 658453079; 921693223; 757242902; 124392504; 887449541; 997215094; 503504879; 712282694; 167788940; 385176814; 148560816; 460435999; 17770685; 638683699; 894985418; 202167138; 166771798; 90833795; 324801899; 135810230; 534063419; 528883442; 5418578; 297833925; 866775619; 40397360; 960978892; 592548338; 847356886; 1555518; 870467780; 568670938; 21484019; 767019123; 831880808; 419743778; 401709780; 585321209; 602328741; 239667686; 678774414; 871766697; 982157094; 723025623; 185987815; 16794967; 231875470; 19535012; 29551196; 78683048; 952378376; 650248590; 340006463; 561579805; 725312193; 609386139; 330947161; 353651511; 988732394; 634512269; 766168487; 928516329; 301920883; 638821212; 869863; 253725908; 550236729; 536538077; 666068409; 162734673; 479617393; 894192806; 857434344; 225065026; 805479574; 280448059; 249020295; 985982865; 242963396; 629803986; 801767321; 548320256; 869596227; 796054547; 42785693; 299133898; 119564049; 918500916; 785582245; 876392600; 513419541; 629987577; 251957943; 4203079; 103642626; 567342608; 207104062; 433467317; 647245271; 556792645; 135781044; 518632861; 915596580; 151352267; 326013750; 908295636; 582827035; 843619929; 675474129; 98637462; 807432072; 662029376; 864930166; 896162238; 506280992; 710334662; 942790440; 517929066; 565707417; 351745282; 73574527; 895905491; 60747584; 445719563; 627423167; 121106616; 601970108; 336438994; 511046097; 108210676; 481577641; 668988150; 683466633; 100891880; 166829156; 869555218; 633687078; 535882477; 548901998; 189831315; 190574456; 321445186; 33051332; 774725834; 40336098; 77230220; 902162081; 23629649; 715456076; 225491767; 99325036; 515950352; 182539137; 200681118; 863600358; 755525690; 843693099; 180067637; 880038208; 57447722; 807816398; 559277845; 651917444; 831644488; 461353630; 384181062; 790869964; 994573122; 388242985; 547327588; 708897084; 837304021; 180783056; 949935527; 368448583; 890780377; 199950205; 110880794; 585301377; 955743462; 574937080; 118264911; 821939593; 507112373; 997364290; 39638195; 205248970; 119094607; 965322868; 914759182; 785746383; 345804065; 226535253; 41039728; 527762043; 935716369; 358605920; 815122306; 445216435; 46016383; 693444718; 350551322; 674944064; 75971740; 696828850; 157531252; 482801380; 54318649; 771995061; 823650335; 46647383; 205195520; 221932471; 901025882; 940460722; 600110429; 213010087; 901901108; 476422036; 933212644; 851278444; 622715957; 885498355; 404570115; 888745486; 302993661; 693954869; 798918378; 684022814; 142681512; 559204485; 361172828; 807713438; 209664299; 2220957; 164515215; 500243067; 35655138; 606010734; 816529147; 966521020; 803582292; 812792643; 612269348; 474274598; 684501887; 153880867; 508936069; 979811141; 91312745; 456661887; 229087949; 551412728; 875847185; 797468147; 29696038; 558668121; 569479686; 370353401; 128187570; 141789601; 149733650; 424739900; 312920971; 670690512; 332142418; 499326763; 646697894; 60861033; 982017679; 481800619; 988726053; 260520863; 971024431; 706534019; 383334347; 810679944; 959556974; 322151962; 819022877; 240738690; 928425654; 542829222; 614484421; 643827079; 557200418; 195448446; 635076710; 504563405; 526122381; 643244062; 157672403; 397865906; 84674857; 874310539; 254605353; 520116039; 22104821; 767281997; 56964284; 369095497; 910326852; 345225785; 469516968; 891377978; 218069747; 705638496; 45893085; 434754547; 50072380; 533734857; 466624144; 772134005; 977712198; 791441087; 135977581; 491244891; 8905165; 758285706; 119017272; 205403768; 191656029; 264763799; 403788431; 818893659; 877463444; 220681599; 244201127; 695916762; 254991858; 18767492; 305147005; 282369903; 35790819; 460788517; 142379579; 3826478; 772600802; 576688051; 641427286; 6336143; 86567583; 267091593; 883827807; 446248101; 565610354; 489409297; 399570192; 145536236; 68273487; 350674863; 416738430; 269015064; 973484181; 486412585; 55745012; 656413820; 855935579; 50768655; 954650468; 581700177; 81142000; 393261609; 221313720; 105172558; 955082278; 656814704; 796936512; 569119682; 916465700; 73138269; 575994604; 122670924; 283769295; 91672758; 8836646; 798111447; 869494472; 10081545; 345971998; 151558007; 546384561; 765998603; 148259907; 294175221; 764537384; 252651829; 164921696; 475761936; 704962543; 881172678; 510046750; 825081809; 255386896; 883413581; 11672981; 293249102; 436663516; 590747811; 655144299; 465414875; 350872517; 413849935; 256617155; 854609058; 473208340; 904741096; 24451213; 664705897; 641804971; 200816220; 101955852; 809460348; 527040452; 995378424; 226976910; 625670396; 226604231; 963101593; 598659826; 757800005; 960267270; 142736970; 764276006; 379279245; 931291005; 355575411; 573230158; 355203734; 911354696; 152193850; 908930328; 77490475; 927651905; 840557449; 335142359; 855089445; 663067987; 349630148; 681992294; 841778835; 36024968; 127827073; 851181847; 510956210; 484277277; 726570974; 440210209; 770811001; 701819816; 708415798; 329029125; 438184284; 903222420; 488018929; 173058245; 617109011; 703946029; 650965030; 675170337; 124587861; 100500242; 713504201; 660553188; 866130313; 602835135; 565348498; 240021297; 249358644; 803466080; 702118784; 12021438; 386867951; 607232630; 892617854; 188452174; 361914106; 239468732; 327533253; 725785123; 916708655; 954664314; 658029174; 490099756; 753004095; 940112358; 856083429; 875991579; 879918272; 992188119; 744571559; 480591859; 49930022; 696933384; 415570059; 791113918; 345605749; 887494816; 762419054; 247297058; 435047355; 984149638; 647748008; 654051106; 891730422; 641073991; 995232890; 968340265; 644412013; 869206568; 824157175; 876280817; 666470387; 617236728; 912974728; 631732778; 752985481; 408914752; 891439896; 812401283; 372237824; 765251210; 748114865; 923757928; 641958286; 118300761; 28837725; 826808481; 391011768; 697837032; 877585709; 96669488; 351930878; 62124924; 427660118; 772318449; 150639371; 614075926; 211204966; 164635391; 524322634; 252354623; 268204551; 168781852; 351338206; 297818516; 956860163; 160103377; 115005732; 95228405; 334320417; 346889324; 705711797; 763131388; 456788898; 930866840; 522097137; 407628698; 549416929; 38568009; 675177355; 288034371; 186614316; 672863454; 752020138; 422470234; 568048671; 404023313; 385804581; 442624771; 156266992; 442190102; 979874130; 219938693; 570328058; 797170644; 685194615; 222490790; 746301825; 28561130; 329441498; 677422605; 715577752; 330925442; 787517815; 486689726; 62935579; 301088322; 297559764; 75424756; 963793789; 343693807; 116125458; 811117538; 255108074; 270916867; 870987276; 180345171; 178160203; 547330966; 740457929; 327878842; 804810298; 12592611; 731203452; 892071263; 679176462; 818076080; 183120509; 507627471; 54114337; 657757100; 109506958; 956106753; 701585778; 642588361; 250484878; 444395188; 135862881; 862571231; 140536973; 534381602; 375466866; 734282985; 670800566; 378072047; 469692493; 931514100; 683560260; 605630788; 878768880; 581089872; 671711794; 683158797; 700315545; 792433778; 237732782; 630164771; 70483599; 140802674; 405384279; 542288502; 748884049; 751357403; 141954625; 450863021; 252657036; 353740427; 752926802; 442322355; 579535335; 406263693; 898475977; 891832837; 592252750; 190545028; 801566452; 687397329; 215894673; 507575640; 288485930; 640107226; 613186569; 924047538; 66624226; 878186500; 709112790; 622122539; 331384401; 12058216; 485463591; 462932653; 325484648; 621809756; 471872639; 540096343; 958473580; 544997776; 114173477; 316433802; 8662414; 845831467; 264377298; 14470438; 846556828; 671698635; 579468539; 639320030; 240982578; 842355844; 454172488; 552580382; 283083808; 668981564; 293101323; 895602262; 4813355; 207530083; 301431738; 780889889; 408393307; 120228756; 668954804; 986865104; 629747081; 606321137; 402791225; 283955189; 35564436; 602484554; 338622121; 784204193; 148597861; 227406318; 440055844; 566311735; 128167847; 829151432; 689542755; 607337137; 733302732; 221522665; 258835184; 596316179; 624973760; 637511818; 303314679; 169162819; 429147635; 826788001; 672694596; 578680350; 490432063; 935521734; 91428443; 882227790; 862736242; 452919606; 451043172; 251386733; 961442264; 518224035; 801237848; 536428097; 248262660; 663057929; 433065248; 634870000; 662810663; 399879591; 61079136; 512116799; 609803265; 313724657; 217891194; 482282523; 669683161; 199096124; 22817740; 499329399; 579604923; 936700695; 769107124; 165509763; 790219959; 912946570; 319361873; 452192714; 754148004; 204308276; 888335813; 559691923; 492914699; 931770357; 709677162; 365854508; 66616040; 694790830; 657173073; 619949657; 395264561; 413561727; 100024944; 218651029; 469423616; 755610858; 106747916; 950301288; 690779466; 315074253; 206665365; 283341926; 927871722; 724015964; 959182210; 521556122; 984460220; 157790948; 448595300; 864121929; 987274867; 256252463; 314734973; 805174901; 727619569; 930393156; 200695991; 231998820; 20910271; 461177505; 116744704; 337765102; 622035637; 267798070; 549051367; 2388137; 955477512; 856183238; 898569242; 449087121; 530866563; 998444564; 535322698; 46444835; 801824231; 757389454; 168017261; 450622813; 219555821; 914476766; 339943366; 342413253; 231281861; 481661674; 580671010; 492172316; 690231827; 264792898; 15584009; 738881519; 773870215; 971683733; 931390049; 237667396; 705422211; 373417233; 165140694; 369189177; 826372183; 231605954; 363748446; 639717562; 409049362; 713980947; 280334434; 981392349; 399777582; 755829009; 641109007; 533134352; 569535481; 21682908; 844939003; 685828737; 158258779; 906105379; 885163131; 817629887; 390664337; 559736932; 857407745; 895791430; 61644251; 652252369; 306368789; 26658764; 152487549; 269956414; 961769444; 32508691; 6334457; 964158821; 981002465; 62818981; 154012940; 127527378; 511067661; 785266628; 707148671; 151393746; 469660087; 106140478; 24355594; 773163319; 870355633; 3747128; 407481579; 664920250; 203026174; 75490644; 744377430; 888083312; 427003259; 848105885; 779205612; 760196905; 91655303; 253306598; 670802617; 798512115; 488690673; 912651182; 33806091; 443556127; 408657410; 693626500; 603396463; 968067468; 856171867; 438156029; 465668780; 543736088; 58210182; 507845865; 543139986; 288282290; 547218313; 657330476; 314357582; 172465593; 131861636; 120498931; 831030663; 706244999; 784450012; 405247240; 905901697; 988475100; 592772849; 152048730; 496571747; 10729427; 479220090; 886749715; 236584527; 302307453; 857547289; 790314590; 662877952; 928773332; 563923659; 444695288; 953546734; 440431494; 666250429; 525167525; 499158668; 804968843; 788445114; 859279639; 620293519; 273538467; 768978503; 119658213; 384082735; 380183391; 474086152; 148778391; 413767607; 331208031; 686466174; 288280417; 887150731; 261089601; 128966417; 335234238; 739921472; 755510742; 851145826; 846854168; 970589759; 210592544; 863516323; 511389397; 498676806; 485632885; 310488689; 496308739; 446766243; 313392030; 683165700; 458634852; 985195469; 571160578; 634717501; 927139864; 660572169; 846223365; 447562542; 197594910; 86064939; 548028712; 867946698; 658662840; 184888848; 512950751; 196554925; 415719629; 152853144; 712516794; 858566445; 700068655; 138560952; 854295280; 587268778; 423111961; 505813685; 782671381; 813274411; 896266162; 634457289; 610099420; 391868110; 812312549; 385523785; 200203568; 352125688; 636215684; 773739372; 501155314; 851827232; 571918818; 25742386; 675469179; 563816638; 163858581; 100057886; 243000712; 354690779; 248578498; 100645915; 78989658; 83071524; 109218658; 760013953; 946950680; 944023293; 258156395; 92495178; 743732570; 988132844; 926826307; 638980712; 38521659; 547286674; 571530061; 972452170; 766209055; 628531330; 790825436; 732898574; 740988095; 640600812; 172711939; 702643911; 507923808; 468802022; 172421986; 319890421; 867851747; 173861881; 262384081; 886671671; 610973456; 667355424; 974054228; 375074980; 564122415; 231128793; 72554370; 535459111; 474381993; 182981706; 517319067; 509513506; 494611742; 4897063; 699491899; 129399804; 999313432; 962822023; 200754663; 899941705; 901370838; 722703112; 637560343; 990874954; 456490914; 449768343; 879869079; 163189837; 909356788; 239378938; 698804488; 901814188; 214164624; 371313036; 959244468; 878798600; 838638448; 117832645; 753168762; 677002913; 380091873; 674844527; 727246001; 274227621; 150490961; 990518587; 974003486; 266181675; 282301597; 972167040; 235131399; 303099385; 496369837; 156910344; 446693346; 169837278; 278740440; 120476105; 883493641; 255982150; 876774726; 931733168; 895299922; 111869257; 265661307; 526368643; 908827021; 768010066; 961656742; 345715707; 996053311; 940050577; 451100326; 199538628; 422028476; 54620178; 446049680; 24224780; 212456562; 839562968; 807229590; 799398765; 857819575; 799093093; 158422129; 108036875; 188881270; 942431236; 897907739; 527430463; 288042614; 507451625; 195292203; 182034877; 283705774; 941855340; 852650717; 146287004; 546829202; 736949755; 848882374; 237263872; 237531841; 457759661; 562460584; 205827234; 660216366; 5876517; 509207609; 616995849; 614927607; 463436470; 597962170; 45410610; 995574661; 290368112; 552981521; 461600589; 124387933; 269481951; 772732477; 564704342; 507493304; 253602786; 79019496; 281895622; 193900081; 53028975; 967930747; 589330673; 131089561; 904854366; 591395509; 519102039; 157978136; 704842741; 660831025; 242312781; 995605429; 808039878; 7599648; 208419789; 895122834; 777804599; 675799176; 4969659; 466556598; 547403399; 6800609; 336795970; 56611159; 796274480; 462472734; 942953663; 775263954; 984364692; 737444285; 977402653; 789013026; 775065362; 421780275; 980222510; 682764376; 150018198; 686630403; 875195119; 492340963; 265431490; 868035037; 835675657; 895631763; 352488077; 149537863; 12955227; 970294698; 535870627; 231497858; 612751675; 188746129; 919206881; 80513552; 570775999; 409410748; 667027650; 981402501; 372954447; 571672319; 85518137; 470088602; 10641316; 368628823; 16200275; 856510839; 931277696; 60248852; 572844943; 561732605; 936488166; 762174959; 283482872; 142568518; 343420712; 79899936; 700895578; 454618924; 618947151; 810135880; 26145878; 290952596; 317714509; 10358530; 517443353; 928069211; 243237140; 756109419; 630771020; 792204435; 600129567; 933392418; 309929763; 718681869; 209558404; 414346032; 845235605; 451688597; 590039639; 225364932; 868822505; 562043201; 117553030; 453207679; 881484264; 236598664; 893583022; 606421640; 778785360; 544451503; 235240939; 710694655; 353205797; 107913432; 543774486; 582138670; 635583512; 506917698; 203028967; 501643484; 710028233; 363656922; 73848638; 941450014; 836594971; 541953461; 985120451; 81792045; 614885093; 31190508; 661388997; 378063153; 222362426; 440922778; 583458319; 778989574; 389675147; 272327624; 357584148; 376691650; 129559305; 256007202; 111472662; 256685519; 159057007; 971637971; 51025795; 561444464; 84015802; 654993487; 182015179; 704791697; 23809205; 61515549; 475187587; 268766005; 383431515; 675516060; 505566653; 607547089; 998153221; 354921480; 129837825; 767458434; 220768027; 825317094; 416034834; 317386751; 134699936; 652542258; 903775459; 991987514; 409484773; 60380519; 774316886; 611776551; 168009533; 295245211; 173485485; 618512776; 173822021; 261306222; 322432117; 516745068; 841487040; 608726123; 750719132; 281848606; 879065244; 463836917; 10884985; 764728353; 639450782; 131494384; 653909997; 328840753; 779949934; 49481494; 677930328; 733172154; 560094917; 365333213; 663572332; 914132032; 182281371; 731327710; 865935225; 364083380; 709981690; 292386635; 34426291; 757838178; 581828752; 206598244; 7610163; 17503622; 199029497; 271253890; 774298741; 672332343; 281576999; 139250078; 373206626; 127152059; 540760969; 786049200; 1519567; 262843266; 254311643; 893976612; 325888497; 388257927; 381866694; 44616252; 533342122; 126616385; 428290997; 656348225; 839706703; 140225250; 776414387; 5585369; 603872922; 930943271; 88745964; 803208724; 186303258; 48742589; 576898900; 571841658; 786517719; 108212747; 81457808; 876632901; 860384833; 941688372; 569021731; 149715112; 352671952; 712511884; 326807220; 347586542; 533738626; 448380399; 74427558; 808796802; 22239895; 564733321; 86765650; 707340043; 280205772; 363644332; 385105936; 975914745; 154890956; 917663344; 135706182; 512211962; 492333532; 711583469; 306230660; 231745094; 242927153; 400571572; 479157853; 12493947; 961848809; 631521147; 260077021; 972167508; 668303273; 590741108; 927320855; 707316102; 290285216; 562117649; 711678647; 204317108; 108119281; 926449912; 29062264; 725932470; 949659538; 877569940; 375181432; 463267263; 363056520; 679759736; 121435625; 246799508; 669340566; 538810977; 306554737; 253144594; 795522177; 50372655; 223768231; 949512332; 821304193; 966460199; 578516795; 796621954; 972661636; 765349915; 676762072; 103816652; 139450104; 486619174; 191472832; 60890087; 679830563; 575164020; 837976493; 195758697; 472046089; 774991289; 341631016; 212017104; 511732970; 329859088; 656930908; 160117272; 98495046; 626501224; 316013620; 893977108; 333934960; 367819380; 938350109; 995501121; 719857176; 430151380; 45686052; 53428336; 360812305; 505127177; 21533336; 723497633; 41336295; 517331646; 110666859; 735805309; 637549244; 576008193; 171012526; 995521287; 678471898; 433300543; 456993412; 45333492; 338074584; 108454846; 946637457; 566655824; 444851619; 770004731; 590527992; 329831278; 899215721; 691744857; 342323767; 583334479; 217839633; 680572771; 583806058; 426854024; 991463760; 315530042; 3913938; 204852870; 668207150; 164975995; 761618770; 640584119; 378462827; 171753637; 299727009; 852209928; 452870623; 942682863; 433191544; 473571336; 874051939; 765282733; 143881903; 417777563; 844866587; 492141878; 416800245; 25078759; 749181968; 748966612; 666550937; 438249682; 355995823; 773179235; 311334761; 928691412; 100708785; 884135793; 338266591; 467122858; 822645419; 813247111; 14879782; 188413542; 268442580; 547104173; 490328337; 989052803; 52096881; 370681143; 429705426; 9189120; 229223464; 529264284; 608626725; 808120390; 636226430; 429778900; 746587764; 27175542; 912310102; 717423387; 26237452; 996066465; 956174421; 184705179; 770960734; 971790063; 254812302; 240721654; 907655248; 729368194; 669295083; 869490044; 919283892; 100158327; 789158938; 975674178; 636734872; 472727144; 436118720; 687369217; 633730754; 84978723; 828216160; 792530015; 225778297; 188408595; 777436975; 341272909; 13092671; 994044427; 20974526; 426672291; 140293702; 712891415; 597637840; 421813799; 881848724; 993694452; 922937813; 152886100; 481906564; 747244962; 145770989; 412516565; 105969233; 784024866; 162250925; 418015540; 125547103; 236337926; 454160683; 102945238; 453180564; 589035943; 93796238; 474812029; 278924856; 114572044; 862793713; 551889684; 820843540; 105897919; 863191679; 817608931; 841528657; 395233466; 157437476; 132945006; 399927719; 654966331; 344893043; 875455676; 647293190; 76325574; 25411520; 186928820; 972607494; 385236299; 542052728; 793891288; 731067874; 808320406; 407087831; 19105987; 15495524; 595083548; 744036445; 246674508; 924340504; 534757679; 576097441; 525974073; 548817096; 708350740; 553508699; 87044237; 279100717; 906030297; 350063466; 614204558; 19246739; 11831662; 154849782; 187043054; 495334305; 95048459; 793512123; 510578650; 350798022; 856099026; 798468381; 455649803; 602533760; 610936216; 303585791; 589834693; 761905071; 903904692; 742279999; 170696339; 279424629; 476060064; 888095491; 192050070; 84142635; 626464706; 279077548; 58065529; 113702357; 656242511; 171440259; 668939809; 899947794; 804575974; 531464659; 866396337; 647867480; 922614254; 193061292; 647090655; 442994985; 812864332; 380915517; 733016226; 683244276; 699047713; 198840581; 725077937; 366031371; 639053940; 817938660; 378455836; 852902849; 60225041; 703806579; 170749223; 696647746; 875129828; 885222977; 683439174; 291447198; 287525287; 959434763; 996872855; 169441342; 614467745; 356962909; 244063030; 557343149; 355857953; 150661551; 948851345; 29698306; 326028964; 708336687; 107652271; 177546313; 684799865; 638406306; 196419888; 911746604; 340874785; 612900208; 855609897; 451903372; 881462907; 206127427; 229998355; 346917126; 694068970; 121633114; 741354165; 152935159; 484166457; 196531653; 619894567; 390712194; 344821207; 772250157; 263491712; 146287106; 865193633; 47371164; 556335327; 605213454; 168079108; 23060429; 704603889; 85177015; 366719725; 818907135; 122378211; 703798682; 328411040; 683158068; 489665260; 172915715; 71684679; 945383699; 920030102; 279977272; 54163555; 457756518; 118075789; 348803324; 601528285; 711650619; 119420506; 191899130; 438716898; 639527244; 645136884; 265075376; 922176578; 891006050; 567473580; 102061155; 840235902; 811145259; 636089505; 386029975; 998869729; 162873773; 348991673; 49637179; 225570860; 890937767; 88084600; 542833900; 458339028; 162587544; 773809302; 899579923; 332929066; 770136031; 418730503; 952830489; 221680398; 653805852; 697760781; 998075532; 571869827; 299590545; 501941095; 230437750; 515858494; 436251217; 431323955; 354149405; 480160156; 341410161; 249105471; 304620439; 147698371; 719292790; 477126636; 422108517; 330676475; 887316971; 490033984; 606919780; 373801273; 345174033; 784228086; 152396876; 648223286; 928411220; 261481730; 996228585; 553865360; 983667404; 943354259; 766121054; 60920616; 570291250; 562832031; 711643057; 646741085; 429179648; 845405466; 868932865; 213685978; 618782673; 46147872; 680347298; 768671587; 474118820; 871570096; 850207349; 890225268; 21975411; 468205185; 532370177; 322398059; 979427189; 368408284; 897357146; 712619859; 264062891; 513628272; 244637469; 338908968; 384576389; 958562677; 707789508; 253830005; 119623732; 580636375; 450138362; 951049246; 864552823; 526905486; 346056815; 227505520; 739579256; 328655604; 694647750; 93035742; 970956280; 599110152; 489614687; 253220215; 483834753; 853541464; 64819895; 491025962; 375846015; 608810189; 541845267; 574836617; 840495010; 57416689; 775700255; 213932135; 495092677; 572863042; 365019412; 887230762; 803744113; 363346409; 338361299; 624100128; 105844903; 140346667; 442584969; 242989970; 888763991; 282869829; 545002258; 625728729; 640623548; 368207580; 384401734; 456201992; 79964077; 178673941; 967345882; 714112795; 368958080; 872096350; 584264646; 233800405; 359281307; 405256054; 803315590; 929565069; 263415255; 947985265; 753204637; 575904934; 270590247; 293818423; 460675624; 153083546; 706102978; 536810763; 921519181; 115542993; 117972319; 430165879; 905026567; 889033577; 627894745; 999162063; 289151607; 575993992; 602044487; 575739554; 374800074; 853742089; 17696438; 856456879; 923021309; 944446022; 915564768; 414802849; 691675604; 283675551; 727557613; 548790640; 648014782; 483713699; 563747119; 73642924; 935760491; 16529363; 925453877; 238426343; 447760382; 613530313; 311695550; 959379696; 530605434; 934929149; 253603769; 427331977; 143714389; 620506994; 122306381; 855613096; 237628629; 893428467; 733217943; 687111275; 475490308; 786949123; 292310842; 470784713; 970667122; 613657461; 550068946; 329927758; 621581424; 964197548; 961755402; 138518147; 720468683; 364322468; 513699901; 953053497; 483097399; 252575178; 715262115; 924198454; 14202756; 323151032; 307740192; 679128964; 417424863; 418254686; 150089771; 731232550; 57915470; 289389066; 849051578; 288758271; 750622140; 906262607; 598845872; 419157074; 910958545; 437307376; 796859359; 910689645; 124121895; 977625773; 161859296; 868931214; 524749267; 191495816; 22828034; 693241399; 846412502; 720800051; 38345478; 22239635; 596445876; 993233257; 575146571; 292935050; 951756400; 207342876; 756816907; 890147733; 962438281; 88635936; 461112149; 288541210; 356713615; 18030775; 300585354; 404921150; 298756368; 643454680; 604509324; 280353550; 343382812; 644824944; 628528571; 796898361; 705625502; 348241584; 522971638; 940272105; 670030665; 622504408; 209633423; 829446576; 733724305; 14894230; 332404192; 764183346; 697936798; 836996598; 193429817; 805321524; 129774688; 152867419; 117270009; 116270730; 117139643; 515643885; 134167237; 899429301; 743846486; 744600807; 347219890; 307537067; 917631171; 85981471; 618737441; 202423707; 710405065; 827939943; 432067578; 539495006; 262131951; 252496944; 345784693; 236447727; 262682314; 353176975; 295532328; 592943438; 840152109; 844629580; 787669253; 760329907; 875736812; 30610988; 715521017; 890962779; 502154232; 651168504; 101205061; 500047281; 462411760; 847338160; 850378956; 552866732; 628781920; 591983596; 61596028; 75629339; 291843338; 899688657; 563158737; 368618987; 465314095; 211096072; 999967088; 957607158; 624558566; 393099126; 923712184; 538722309; 209291051; 833820368; 187648852; 588007414; 93789131; 134491654; 896624597; 278302996; 352212860; 222887368; 407041294; 395364959; 473592941; 919154164; 766873386; 887733147; 891045623; 466627342; 476636199; 555705674; 221525483; 167430190; 205397526; 338453757; 457177682; 984120762; 507269785; 714309866; 826892208; 955298543; 609340947; 208419625; 357825463; 153123096; 24550810; 237104917; 298945784; 300065436; 134875197; 206048146; 977579488; 248048864; 178230290; 325419049; 636194574; 200233705; 884312428; 469853719; 521244654; 43757586; 477800356; 131815190; 9614230; 125623341; 160204613; 723487045; 393429860; 506138861; 748050087; 216505622; 428745880; 439246633; 105122793; 360152691; 739398116; 703421232; 762710670; 4417631; 875725545; 671919113; 646075898; 417051068; 152729620; 827152007; 419992279; 274906062; 368805966; 578243597; 431701844; 540996826; 368503054; 100223834; 6925639; 743141532; 996743454; 695902999; 799972435; 646077527; 367027618; 684275681; 28111611; 707790299; 685875956; 188913153; 549609958; 490388077; 945957236; 447950510; 291655772; 198834480; 240207540; 56375478; 135863869; 943149081; 539646972; 686309760; 836040569; 355733037; 399272693; 665414869; 274836968; 430053169; 153002161; 310363854; 300394656; 316177227; 959585470; 329656715; 937787755; 501519571; 69604089; 770752234; 604575731; 203220648; 605030278; 17100666; 103316888; 116278407; 848868553; 466895933; 452479604; 658014087; 518548113; 785697004; 623718719; 911844408; 119916554; 289109913; 387393605; 366826161; 612856139; 387454134; 824823204; 148377151; 24454695; 796794540; 406969543; 478181644; 877997627; 537965862; 450502005; 530769405; 680094712; 626391642; 190621038; 572693169; 550322291; 752392934; 115769903; 474236550; 604659760; 596891387; 915964502; 168088390; 896487687; 345711288; 400778763; 201531907; 416556819; 704691152; 715057004; 350379569; 70462847; 360366358; 187692237; 236998184; 224780120; 515382569; 82313641; 100610642; 396804862; 687587314; 674809803; 240515064; 74628245; 88090338; 505331229; 772477834; 834663801; 612434551; 451217973; 288657377; 218544844; 338188426; 304417961; 14231615; 712809294; 116516621; 285351867; 403395180; 944326705; 480253888; 886586784; 982679369; 535862762; 40617365; 104969351; 659375448; 278843628; 412242163; 974950668; 980115132; 292049327; 713052852; 598654269; 37795526; 243754245; 454807965; 865082013; 53568663; 69480470; 776517001; 484528574; 760849623; 709451648; 720441103; 645073903; 998112091; 283866198; 276871890; 30472217; 177787664; 470895394; 273713889; 274537717; 822413671; 595361545; 875765540; 273220472; 302089729; 719203317; 882176885; 896698022; 389471897; 879478738; 454212763; 498852814; 512452185; 975874049; 605125368; 613225374; 88811777; 682164229; 830174441; 95002362; 172035520; 315347889; 742060259; 901871503; 756086464; 706816978; 470646800; 681319058; 771198083; 707991185; 411575008; 522778711; 327198309; 364574818; 191718788; 314794667; 199694872; 523278837; 546412798; 395561336; 709139341; 452919949; 658822136; 437771336; 531041388; 42059354; 8966291; 395966803; 479978634; 833893460; 686105890; 224391836; 245260614; 707588954; 835406969; 471787119; 882050607; 417622769; 676472317; 115764444; 836397728; 53542297; 209530097; 717525985; 431066043; 178074630; 232456629; 386025608; 504415119; 141338774; 11308283; 466394067; 476076898; 268996803; 675230337; 528518865; 882346773; 347150411; 620038422; 615700966; 723825835; 457876233; 240737583; 132520789; 758848344; 77480890; 730223721; 818431876; 934199694; 568462489; 383630762; 267382721; 440104400; 509058973; 213298495; 830591832; 8673465; 888904400; 443925390; 870436582; 257096409; 253168124; 766300920; 423864735; 504415878; 800982396; 812945447; 742935086; 45178428; 77734096; 97738023; 364205718; 407314964; 847551504; 8980554; 628278645; 330588329; 986449728; 801358523; 624719726; 411037102; 140038296; 895068811; 804559670; 146313160; 303095213; 460826122; 576921814; 311197466; 207374544; 248569001; 52157434; 927953772; 550175162; 675567409; 37348313; 731537513; 979344443; 960294174; 663062959; 233653184; 693110223; 786970374; 532676734; 432022803; 641741557; 78151892; 564600076; 55153456; 257591747; 551371472; 120313963; 293354834; 920725037; 150941070; 864036605; 573980884; 619103892; 856749562; 85259387; 530877923; 241261792; 785121900; 898138969; 322424163; 759848624; 593778985; 618276939; 798935905; 520431106; 531081413; 559271011; 860646386; 165011865; 18040411; 527898715; 401028363; 705033639; 14357341; 99621530; 314388062; 81154556; 14199232; 563950509; 915675389; 173279429; 164393154; 571044218; 190204400; 425623852; 39549865; 732465608; 947073689; 893338641; 730553450; 596832284; 445017087; 992392956; 231226530; 442944278; 91993129; 352906011; 326648056; 544059966; 80275355; 796725303; 642459031; 922661968; 687487945; 548496859; 414286702; 120422141; 907592129; 151890326; 527715000; 485023908; 312782587; 121882739; 48259811; 142917657; 125258417; 387547439; 830654674; 7906821; 68129701; 653786243; 920396749; 992131615; 504293479; 533122480; 414552247; 852183165; 597882506; 19017762; 869644325; 914867533; 895179236; 819862134; 759918382; 915056947; 764824188; 939575621; 9021934; 486261658; 34127357; 158351237; 692256744; 681337104; 315574000; 78430500; 649459949; 541498056; 444345595; 850318596; 512078329; 392579089; 782868596; 865985679; 775931581; 626825322; 827585091; 412854542; 568566405; 3760406; 978977859; 762282953; 964455121; 396621288; 801266022; 944712296; 357705644; 551074925; 588911935; 926663973; 933895611; 829075990; 673324443; 170930382; 866778608; 977554413; 979923613; 166023299; 221516978; 49053165; 82877238; 225548548; 33666987; 987429038; 740265531; 458903688; 675422526; 425067214; 727816943; 648307173; 148258107; 48400; 95223184; 105871026; 870775999; 478699666; 803407822; 26022537; 443670024; 127275273; 531827413; 169704872; 749400111; 110199891; 266498310; 445269394; 163316132; 590995942; 976168330; 665783772; 611597545; 808822897; 317716251; 469318947; 835554344; 513012861; 540231700; 18317706; 102724476; 764592422; 407910930; 757683153; 146452200; 333801784; 835565509; 660435288; 921298627; 455512014; 212870121; 632144396; 366796654; 678109705; 169496727; 947561338; 366176995; 562441215; 327949150; 326507344; 327955717; 389079708; 495530490; 698082131; 994671478; 580633221; 486066916; 650254138; 895903517; 763998096; 919122789; 427240691; 356559227; 432804726; 908458900; 313584380; 534315348; 319059156; 559202609; 390533968; 634070809; 308586957; 656609052; 551997733; 991473410; 440786043; 598987432; 262856529; 504159824; 817726381; 277132136; 166587124; 397475745; 437477406; 739469250; 406689907; 442635406; 757542888; 939534755; 450973882; 894137527; 278747042; 621515163; 683958993; 820913491; 244282983; 756765444; 850854402; 10152935; 674217446; 498047606; 473920692; 473419681; 922730254; 527029587; 639807468; 644993823; 609811911; 566064561; 57047204; 201838967; 20146402; 910299168; 290537006; 467908135; 988162920; 343247051; 864198045; 532086584; 959250751; 953248675; 461774256; 804313758; 611213934; 814460400; 481252712; 837786346; 729785151; 43962093; 807677606; 430946372; 251009254; 790632542; 951838745; 292877528; 422631983; 807595668; 700997182; 127479338; 533590459; 24922288; 527041774; 10611498; 838448041; 72090628; 332663451; 661253717; 547709072; 777824794; 308068607; 417540022; 955802071; 585092165; 507286437; 895235525; 225856351; 330403750; 629901368; 647371895; 671931348; 740872536; 777212935; 968691031; 814013576; 992264008; 737775010; 846882027; 614915285; 270035675; 878447019; 6143829; 123506274; 389857252; 537839807; 691191997; 155045607; 598508067; 587847661; 147517094; 414495345; 220569067; 806820188; 835278251; 762571284; 545958867; 895070529; 942357838; 735640985; 481480980; 816070281; 13119778; 817160526; 92320522; 804124111; 455020820; 224306786; 859276749; 259623313; 446685209; 891733262; 411791924; 999165936; 335930808; 425484389; 206406021; 294046158; 49798698; 550877047; 237161166; 941009332; 458676934; 786951242; 639240677; 629364901; 414565089; 486539256; 364632231; 668062795; 722730455; 391373243; 352881751; 121798368; 995061107; 591032185; 150615892; 442584044; 745641376; 662987025; 227016895; 359839681; 697830852; 620886765; 766129041; 736726878; 284996443; 890025582; 177695790; 745023471; 251472510; 182922970; 508974360; 279141860; 923709787; 456277138; 638049116; 116521120; 382262159; 669255320; 830796365; 824479453; 794693634; 681948553; 894373502; 328747678; 864485513; 838625639; 98959710; 698385626; 719121740; 563268221; 126075350; 256878478; 267930928; 643837003; 396531760; 288420261; 575623270; 954867513; 76288095; 300820423; 137293858; 504123554; 225955642; 687427144; 833368834; 347759034; 41113314; 640143859; 81854420; 610780925; 478379480; 129367061; 360294445; 571359139; 427089785; 587252686; 637044626; 744555971; 724875231; 861307602; 936703235; 567941550; 705457068; 301139008; 846545798; 218353739; 806631147; 90042853; 965649597; 762712263; 488958661; 889905523; 622154837; 13170042; 923906316; 440139429; 334704619; 94565509; 503337427; 940514073; 74647368; 565769922; 348625004; 797237524; 202871051; 10687597; 680781042; 367319681; 649045910; 757948988; 388824208; 515936490; 442408645; 298597613; 911540058; 199910139; 5970166; 973675571; 733591705; 154666287; 536389760; 455738994; 934454788; 714077695; 650008814; 114989652; 542402951; 812961660; 443572409; 297485486; 692134086; 282277901; 643831506; 684280302; 910718671; 6046757; 911202254; 999958596; 599351672; 16895306; 695246968; 335467544; 312861148; 914152376; 740602364; 418903541; 783782627; 263968089; 861673978; 87536547; 908828136; 627635372; 938905415; 353971814; 128659112; 533074038; 684485059; 950684951; 246840247; 889537067; 116399463; 104663759; 592237175; 144550341; 502678268; 128968695; 999236791; 548150972; 267088905; 505882298; 543917403; 640665773; 714468921; 924116603; 454716059; 890843806; 45994820; 316981011; 635481476; 775362750; 930803004; 150552571; 846304960; 153611133; 326999337; 296852548; 37237401; 732931956; 480244143; 566518230; 859380869; 816985397; 47042691; 983932457; 212844320; 806847046; 975408547; 636672977; 924373197; 935508099; 79806626; 760988245; 423696738; 149942084; 791787743; 209963025; 552633484; 292901172; 821758315; 224076172; 535221954; 223853398; 999582611; 945129968; 49812709; 177590203; 758987378; 960848979; 833116934; 51027106; 424579263; 699734263; 102644325; 962878294; 453243740; 606885333; 754856338; 866934442; 404667100; 489763824; 547323945; 162982510; 152931732; 276574423; 182050969; 374287071; 262628343; 979523447; 589354171; 123294786; 414697229; 592712394; 478226358; 146943273; 704291884; 981139613; 596805868; 685777285; 174235915; 744126673; 382667107; 412392724; 249716142; 650814920; 212669066; 878650706; 320983569; 345098538; 812796189; 425592653; 570747770; 155074130; 379089732; 354442062; 626909837; 16901904; 253294429; 542515372; 414194026; 693046379; 264754498; 273001819; 383541456; 648370199; 207662666; 364995095; 656572820; 484008022; 631128552; 941464516; 377767295; 927844834; 395125563; 622926796; 180442649; 325800157; 708731403; 412764162; 996964429; 784760998; 608087087; 87808976; 878283239; 178419143; 704813323; 148297349; 621229496; 779090208; 827050870; 404238830; 183015273; 138453150; 834588759; 557135585; 585089811; 644437177; 993243931; 449611380; 384192443; 683602224; 452042881; 156675609; 427401731; 6380658; 916341775; 410312734; 187457312; 532844424; 242971034; 780598650; 573209722; 648251402; 133918559; 206798296; 263308005; 763114301; 52584; 600252984; 850995828; 374245446; 814423717; 412821632; 129275757; 558065168; 679041488; 985564503; 675565808; 188992036; 683949114; 184580956; 683010189; 711885849; 593297161; 24127831; 279947354; 811963258; 663041177; 631985183; 464578151; 118280454; 148809173; 234803329; 921105604; 552622660; 237321859; 264673620; 568813722; 552564886; 939780465; 849121531; 449834980; 456548297; 409219868; 263603677; 102620956; 231263633; 384729003; 222614374; 68469514; 598864564; 988996689; 13946001; 337731884; 535888197; 501071619; 996626537; 922211125; 217100405; 660828775; 70235628; 826954083; 709453408; 212490331; 533692059; 97407291; 702626770; 351010468; 858840274; 875061410; 788058667; 407703510; 652351048; 211344532; 500786749; 159317529; 583119935; 391936626; 680468775; 553713350; 429802987; 564423502; 933088134; 336646493; 938636606; 217829921; 900406752; 593831058; 767391294; 271748548; 822950156; 227219979; 64605813; 947573570; 183296840; 940509960; 948107718; 768271879; 250146981; 129716266; 904412852; 588395391; 815149788; 528099452; 150016703; 813220612; 914577629; 290976184; 753181743; 21281645; 674174799; 503403287; 780695392; 718582122; 264188816; 716167129; 30517959; 73982598; 826335924; 357765273; 963867596; 649803322; 462992156; 582745762; 455351967; 689342044; 370709269; 816593034; 640429942; 668771264; 778997875; 333393671; 411482311; 608579424; 446681207; 410371876; 768093514; 330294780; 495084100; 910279208; 997137327; 238906383; 578555612; 1029079; 538152030; 750437212; 913195992; 657978350; 412211985; 677632167; 345362827; 756289171; 488583858; 177004470; 348821051; 454241609; 791951005; 348887259; 543130138; 664574726; 135383846; 5584222; 194432454; 601083661; 756182290; 897314650; 360886136; 815749240; 81709728; 603740120; 340579047; 885781871; 873799520; 578298498; 729096664; 765460390; 967671850; 898604103; 939878592; 861921995; 73786669; 962592447; 706753593; 220393321; 710539908; 454445001; 622348557; 84237956; 434991323; 491554004; 717626383; 782342803; 14719726; 689183368; 233372998; 323913118; 582498076; 179009198; 263297456; 657722521; 260440516; 72244391; 183737589; 441287707; 101258909; 495706214; 900115512; 477765295; 688619540; 602259372; 700836527; 147971017; 437744088; 961399039; 298626588; 386716142; 352064192; 971860471; 430097276; 159314583; 413364675; 615227276; 589224107; 611514724; 1749386; 864251574; 2622094; 792715873; 992555172; 276562566; 562349686; 835424155; 117069395; 427040066; 417183303; 81231531; 773745198; 894680142; 99980293; 108622086; 789780093; 575881254; 476559007; 521012790; 187597816; 75576626; 937188733; 3263277; 677100482; 617387746; 565779997; 992741604; 34580155; 272962036; 737444924; 286654409; 292251364; 164487979; 178868613; 839174363; 250469679; 963790825; 122470609; 443480610; 247798534; 621797607; 238590922; 330662362; 614736096; 621029827; 16597716; 148397080; 222638023; 489994244; 245587915; 360145784; 230520939; 947464863; 920922846; 191227198; 818313940; 783395239; 657676398; 409494398; 903216709; 12431143; 334123739; 141556947; 428631934; 657629690; 409104360; 789077997; 984825556; 657492905; 972487456; 957655175; 995187421; 626869515; 21651676; 333341035; 775273287; 243967810; 688040499; 51897725; 130064304; 510081095; 492695411; 375239975; 890146884; 542568786; 163479187; 770113442; 920708329; 497159816; 490019422; 295222630; 850070042; 537599594; 626973130; 210422729; 651999357; 608546472; 380378171; 386778681; 975481131; 799353288; 109069647; 242370997; 50802631; 149462687; 526685557; 567106193; 19126507; 186975213; 210294469; 312520538; 423548066; 400598869; 738834499; 836256750; 950713632; 453939156; 748152535; 416868278; 210376251; 870178445; 539751958; 666238609; 452324448; 167891190; 421320542; 139172522; 838600774; 971494377; 237626210; 529866300; 867461824; 538970439; 690276716; 91202303; 863134329; 420572234; 565585163; 520494980; 15552642; 349663655; 66779176; 814713617; 593286239; 61908672; 757838985; 476496362; 253703257; 851797305; 360471958; 177494138; 162474121; 816525649; 681443077; 838702697; 547058950; 449890373; 684005683; 128563422; 40669734; 560570704; 498292407; 212399549; 906021364; 884940784; 492443529; 964991069; 91738021; 420237397; 330690904; 548180932; 507152081; 161143526; 874984092; 425563178; 438659084; 917142825; 630820212; 347875881; 888530107; 27302338; 653427566; 17010420; 103206963; 923673915; 806873087; 472492983; 936278116; 175989199; 612770188; 305013586; 764165513; 579323647; 597188681; 421196188; 10351270; 174811512; 661410711; 444223204; 892308936; 714638616; 214045485; 244803794; 63347878; 232484557; 625625351; 516074314; 161495284; 284403797; 721862710; 236070795; 45045473; 819762680; 933263924; 467149005; 521232829; 235860463; 302266719; 890156281; 977064322; 785565922; 2699785; 854444781; 154559333; 619567108; 509171112; 479428286; 82511479; 547067716; 850018361; 885272771; 610574071; 394571382; 54774362; 758523993; 9685369; 236288847; 676011886; 442796185; 763584235; 860378606; 730483800; 77810020; 648680343; 262213181; 184233203; 818188209; 580853128; 249401709; 573749398; 203529869; 95703428; 412437341; 830475419; 861733328; 324544574; 713705898; 895200743; 815971892; 304170217; 925518890; 999432485; 430773541; 912087903; 899178438; 701133194; 656559694; 764502132; 777104687; 449749601; 938139078; 52704369; 168631253; 546957116; 676778833; 425047115; 231118081; 299668358; 531622240; 800569465; 543138473; 351093289; 318092949; 85633899; 48927015; 9386; 808345347; 6506291; 275644013; 72595825; 856459083; 347368048; 72601957; 521324052; 804555550; 783601344; 351304823; 843621859; 439528836; 923776967; 672533642; 409345738; 188675582; 66626254; 233776742; 60426751; 83845930; 184759396; 87353864; 710282049; 795657628; 170310358; 995919337; 535480956; 380223183; 966464940; 975350672; 436909863; 318785911; 185287582; 567160256; 311347019; 877575241; 727359010; 154008765; 716017157; 619763331; 225356571; 955671123; 964523037; 892361196; 630607928; 205992123; 975942397; 587866958; 295628805; 993885084; 705196272; 151797521; 293762346; 546538681; 854768371; 177162023; 400776645; 67110226; 74162669; 792575153; 422010531; 180858590; 527488238; 478127225; 319341355; 741773621; 278361549; 759553550; 981574239; 93059066; 665667665; 29674932; 617666309; 456368401; 412505023; 146191635; 37248584; 129551176; 119098605; 116537905; 423985019; 960967156; 173118705; 166708789; 152346463; 366155269; 954010383; 250865473; 159761164; 641634808; 345542217; 750168517; 762481303; 393810957; 514589969; 236837506; 950294301; 113804528; 905884523; 614693722; 702750785; 159214789; 4183336; 271446975; 184221641; 220521111; 699949129; 434119007; 98951430; 511080258; 949616155; 501618580; 454205; 818212007; 200136492; 262067591; 654047254; 735759937; 933481115; 481798487; 192665089; 655984129; 716281152; 912588041; 348430245; 644574839; 17152011; 583887522; 486972618; 929845275; 485562404; 500601904; 550049053; 220027565; 928175067; 146570897; 641005747; 111351196; 427097719; 465573341; 990278147; 562203109; 960481325; 284301345; 92919018; 870907868; 417026272; 404726953; 138369165; 412553422; 615792589; 6590279; 597298465; 514553976; 442278474; 943765408; 399623748; 659683189; 577448622; 560015110; 974203732; 594130544; 626993077; 378384483; 202403614; 999415583; 191842503; 110284832; 924046838; 740088176; 317075291; 458592686; 413030060; 197516929; 912950899; 3381547; 911192444; 974082196; 556516170; 656207756; 726166636; 82477490; 808541369; 307664337; 27286737; 212321281; 802215508; 911372117; 294524810; 625037215; 169420358; 490918314; 391123197; 401855021; 570192539; 540467354; 241826140; 215001976; 384632450; 629660897; 497546998; 367769637; 226945926; 915460275; 12895030; 711444924; 12603750; 304150925; 784508077; 598105361; 689888138; 781782316; 645582531; 231762739; 485456153; 301006249; 631395212; 88328698; 626855473; 78474935; 953038004; 220791330; 147455827; 729800214; 608048181; 264439328; 19382750; 193575665; 879133499; 588840388; 334491760; 950062741; 931437957; 929289885; 540994044; 576394560; 762770056; 200781985; 453885333; 761631019; 66557506; 216393037; 338673320; 725062223; 81955080; 771059941; 403548130; 775536104; 634185613; 589541121; 746431719; 10317430; 314324711; 869847053; 847176438; 551687470; 640269676; 565272761; 587268088; 42271445; 913308827; 475405227; 322685705; 319753566; 320150279; 769575142; 581704457; 164623981; 114095409; 962283107; 509682157; 971286224; 547676267; 71718632; 532906223; 803686342; 188267015; 955842795; 249023321; 499621278; 547658021; 877820003; 846193429; 890772310; 389226292; 146468334; 414646320; 789405999; 577951761; 761692941; 791579429; 805800297; 132303701; 849588356; 997210945; 138616662; 141764092; 192012809; 247641122; 337854262; 544020860; 417801760; 605498212; 172601219; 856352900; 320086795; 482161752; 473554377; 471052385; 870342513; 890973546; 458163780; 476111798; 217658584; 937700543; 724493485; 259769261; 345019985; 707191349; 521839000; 332284353; 113607790; 248581010; 956223673; 853803867; 661492625; 415499961; 351450992; 72810808; 492750971; 343654037; 386701600; 163090083; 933892156; 358525100; 117815177; 973284243; 397679224; 188936796; 26315336; 134392689; 686773810; 10007163; 184573631; 577501941; 577182257; 635685863; 743295786; 223581928; 387280373; 474422497; 134673494; 548971680; 816552680; 770947336; 762954504; 489581292; 846966708; 822915629; 504626010; 313555772; 386409606; 924459614; 8711410; 903029174; 593514513; 159801793; 568214572; 302246488; 399153636; 576301473; 342546836; 762657423; 738043402; 146986851; 167669530; 607048554; 727410353; 978873334; 518241451; 500690524; 960965324; 749357832; 8657608; 500827035; 686038037; 340253114; 730715442; 688366357; 514173576; 311830586; 460972543; 612870767; 641953057; 8426768; 36199896; 943228534; 113532233; 629284069; 61482207; 305247873; 705461987; 933705807; 5150676; 398822914; 290372884; 129418006; 197045422; 143751681; 885606956; 748864761; 766416878; 637763950; 127476586; 519356979; 253083242; 521076517; 732325762; 969790226; 429473671; 571932583; 772715114; 199694748; 366911495; 705389596; 188722396; 535263218; 280926958; 535456401; 395159182; 252865916; 849248807; 208473480; 259911586; 918017196; 284363373; 106097923; 566965441; 576577972; 555176605; 835795698; 239186410; 692641488; 597740841; 848980741; 613136138; 716851116; 545133222; 382691653; 42705004; 508274380; 563020701; 340256894; 985647396; 386458544; 448302055; 590128900; 252310619; 935164636; 488651132; 357883355; 142808530; 280359688; 630063882; 325238637; 312048682; 897941133; 592049755; 959044588; 422991282; 80397567; 418221439; 864178651; 862507275; 324402983; 370514269; 171695377; 883603801; 993478750; 892329317; 658010808; 948066574; 624917813; 623271738; 839679608; 218001687; 870279148; 137121359; 761155176; 33643354; 908286393; 947566974; 725398669; 607675997; 478376810; 931109087; 893451557; 621602227; 649455366; 969016750; 813268638; 15620283; 463771504; 460062575; 868486248; 69460260; 915932223; 150875904; 926827013; 700896282; 84576471; 283100109; 793285847; 248613801; 964337021; 149804717; 174858436; 922506921; 866093282; 929899688; 993017102; 594371844; 355188813; 499182596; 394865342; 381142891; 37342369; 57440099; 27852524; 800638700; 859732169; 323328312; 297879488; 83271607; 300536209; 657086494; 832678735; 781515266; 197979233; 839955921; 668699627; 297551522; 252319375; 589233114; 897839839; 377339424; 701599422; 975302032; 359662343; 885136235; 334176095; 316209996; 340466966; 213824721; 107123455; 449458420; 411220237; 507867035; 986145723; 242727588; 339833855; 251916932; 991398011; 367197349; 397710634; 350853135; 558653765; 706495407; 905544704; 554287438; 225927814; 337792630; 21557249; 876963578; 557266983; 598622765; 513144480; 582066903; 595406895; 555408282; 704251407; 551445675; 815135034; 804254835; 475054968; 947505929; 581011258; 446587580; 888424093; 622241243; 170902235; 776986169; 583416425; 290628978; 394817621; 682303907; 204082623; 226658283; 400619232; 133964511; 155404524; 885872580; 649072924; 438148928; 106496308; 800716092; 615673839; 247799052; 87419517; 96406492; 632327768; 735356546; 888174479; 801745470; 908992553; 902686302; 569087256; 523865593; 734459208; 586007695; 986163693; 730280350; 444014979; 833852555; 530325312; 249082171; 529816604; 354191443; 426749226; 548885293; 987041121; 42460755; 997368616; 787130725; 739157963; 246428028; 294018789; 460021994; 979475731; 999439113; 912799385; 731475172; 148413701; 716343147; 393203298; 918113337; 300670368; 337375907; 355951288; 80797459; 364506279; 524771590; 322896716; 81623858; 582469632; 429962570; 465401608; 429523426; 338898069; 228816992; 764910263; 470744493; 275444885; 808163604; 175182102; 280904963; 417318779; 962944015; 903813670; 925780802; 848395568; 469448459; 927941783; 391592418; 288197896; 777214732; 225431925; 636633997; 529099999; 557277774; 509426363; 572834112; 581457277; 956997180; 41299115; 647967972; 695387926; 288884303; 426967824; 851497140; 912734607; 831388435; 329545197; 239029960; 827965556; 247423221; 918519026; 166606417; 187770408; 563074624; 928172608; 883578815; 924733899; 881323138; 3229861; 958815508; 840104184; 156221349; 97354273; 388289570; 306285712; 247740926; 622956133; 671017117; 58527743; 636033194; 722298518; 334576284; 145875078; 466397008; 563411732; 620282185; 356184565; 482700155; 933987561; 991879254; 509466632; 121321018; 768784756; 958514006; 271921724; 703850529; 13011801; 644328450; 279076711; 325568836; 538383116; 656915080; 196990032; 657867505; 51183392; 581529272; 668468129; 959187622; 39720125; 207377348; 357212793; 75746425; 732421617; 722385227; 148914281; 797948173; 289998138; 331585547; 230117676; 417650578; 219333676; 404720802; 258300267; 937639501; 705031390; 372436715; 509469557; 219896258; 625016998; 332621350; 346013590; 441128769; 818081599; 731097083; 754340198; 439093930; 58753445; 187692720; 493805860; 362049599; 589015914; 769982165; 185507227; 771735978; 140678370; 593851678; 449693266; 516090507; 27140571; 839645578; 342150861; 259361806; 323598245; 175787642; 24232975; 491435599; 274638754; 620487103; 59529520; 146501509; 119825704; 608983596; 658983579; 203850815; 425503271; 483716517; 204694046; 915511790; 572720117; 250379940; 148711341; 1372358; 889874164; 587127722; 428653894; 934402351; 686988933; 274621598; 325092206; 577223425; 805666669; 573200046; 893035667; 382672352; 349539797; 27085997; 117231921; 755383126; 166500593; 471601692; 675315352; 46464007; 89231492; 11573562; 896539293; 226475324; 263930525; 283211442; 465373503; 262185281; 248795052; 416511284; 748804216; 290537719; 554893865; 619975645; 309526347; 560668904; 58323349; 681268819; 209452359; 898473036; 865332760; 623338180; 21616943; 457993979; 594725406; 27922920; 264277514; 370093882; 79938127; 361156308; 906155121; 333225799; 4221997; 539554232; 150886081; 180920924; 554379432; 179097337; 556914044; 707205176; 101193584; 509426953; 384504620; 680228264; 938175281; 300555337; 735002633; 942318179; 773404290; 772153431; 233729323; 903893; 481263995; 314949467; 300438565; 506848498; 653419194; 955734197; 690799762; 617937947; 758477355; 248617754; 767305073; 756694765; 170898429; 289062188; 549584902; 691627679; 996054102; 171037463; 937784064; 624768337; 500635287; 775538659; 908423889; 507493292; 870075232; 249881153; 623391594; 762107006; 700684426; 44836538; 969608968; 620251239; 670534097; 701402059; 7446170; 6355609; 299827955; 414077752; 529092127; 715011607; 685668266; 30691379; 84981811; 456470279; 938959914; 832579667; 710149014; 695120985; 237535455; 97243940; 728868186; 990579948; 214705724; 674262589; 111706221; 566479310; 143416720; 815914759; 902882295; 100696224; 506888675; 559307932; 936043683; 269933655; 804601230; 31494426; 398537744; 286644421; 937704969; 173919202; 717402796; 133195587; 565684884; 553335052; 911690226; 405015827; 225749207; 826155734; 11034605; 397718024; 635946701; 450634783; 642328528; 442535458; 43894157; 613249290; 274014224; 595270424; 745585415; 242390683; 184719463; 835371057; 495763451; 72426064; 481709566; 666550074; 828813655; 133129806; 784545106; 571077920; 537785761; 962556963; 142436922; 284952774; 609741923; 742494673; 970358205; 552459562; 352561593; 46786297; 352723810; 648910768; 428459772; 163816700; 729157065; 988788663; 755932693; 907673682; 719923538; 883351668; 458997903; 534816162; 476492195; 882813452; 266985881; 566210348; 957902194; 271281226; 925447962; 516305502; 198371266; 696822824; 481643345; 666998721; 582817150; 74055689; 861604060; 240081894; 920287233; 81026130; 352872767; 923788265; 439613677; 239495893; 504642288; 199105662; 746579608; 52382105; 457654374; 238857314; 530986034; 578654764; 784489546; 453494681; 677038747; 742178080; 692138269; 67015647; 764583405; 386086478; 218146882; 270429837; 857575049; 895514755; 252665507; 531192778; 14154590; 853722785; 406452596; 443597350; 78026875; 18470934; 65908013; 929471774; 375551947; 75741706; 974266166; 457023717; 56079480; 530607312; 924002864; 136039180; 174381951; 53140245; 369504019; 408222308; 938051527; 872687747; 662325306; 888047338; 292865844; 60544170; 320014590; 493786046; 533109332; 369517190; 381498714; 96933710; 272441340; 644725907; 845161365; 135249944; 2191989; 257991813; 417008643; 425021177; 181706881; 85482846; 28705329; 727543086; 480196119; 413055196; 783912062; 29111850; 361260801; 75161862; 753857446; 408116675; 74986058; 95036027; 317169629; 668486442; 503955482; 5279347; 221784877; 28078184; 837063538; 191849259; 153213623; 584974029; 463178723; 527900564; 201307356; 250182478; 953423773; 89593762; 670443203; 739895968; 989290991; 141178588; 341335688; 7544513; 835779901; 229793964; 325794278; 791242519; 350275551; 817671843; 91670840; 251046176; 161768782; 695880370; 564530976; 642608495; 218312895; 719424956; 754053714; 81693232; 279710936; 431237832; 108070367; 331682049; 176569018; 828329106; 246186735; 181904931; 970499812; 268379951; 676558664; 537419713; 629208690; 131684407; 725680511; 838141865; 305643816; 88711396; 853722620; 849607654; 792845554; 92000564; 876429515; 825960780; 536444185; 255204030; 739952405; 485805306; 790926571; 400106410; 933211998; 291118999; 954763575; 472948130; 654090399; 908442145; 218624589; 869010267; 443869949; 648488543; 446553508; 519199407; 132744069; 210897795; 403627685; 556842444; 354211983; 846949772; 246453247; 995313883; 501910847; 407730086; 59876778; 153103549; 568707033; 309487491; 133692383; 68445747; 564127677; 229444851; 612939141; 105563056; 465352073; 664685516; 327016694; 535538899; 883131370; 247246387; 148825558; 766858351; 627593632; 180044227; 983741685; 538885812; 135476250; 614012399; 750199833; 972349882; 2855582; 403730735; 361454824; 580875726; 204364679; 253144924; 961094877; 603196799; 96497418; 569447050; 781182508; 200513413; 782876306; 705976479; 42861570; 797668746; 714689887; 825665712; 608506997; 733141129; 459889774; 498316981; 367562952; 758919828; 590312770; 90596658; 203869037; 703287365; 884175355; 582498741; 317268171; 111497473; 945056846; 73430444; 950358748; 612297414; 508098754; 889615770; 818469973; 22813555; 402666122; 227585890; 401847004; 556012445; 309055905; 8185055; 702769430; 240841533; 433866517; 357722566; 919833706; 566279772; 270040696; 746553767; 271471663; 510841330; 472814625; 175490060; 380555459; 61952033; 106375245; 531812494; 87785137; 195845768; 94010417; 182823711; 257823918; 150760858; 155211498; 303095827; 718846492; 671927542; 158467410; 114344208; 329149557; 384444114; 214657241; 987756410; 852852386; 523394541; 271678419; 587725996; 726185820; 832413682; 651436076; 211305157; 485974890; 362723098; 548876520; 120009679; 463804511; 129901646; 681195189; 247637320; 535564879; 237108890; 958579428; 906387096; 708397421; 88568825; 183243547; 129531850; 299699670; 104279768; 804604769; 531517535; 711288021; 527194824; 463913521; 157972838; 345950016; 758085846; 290731718; 829824514; 439277102; 665561866; 369671390; 868159376; 213414747; 208539030; 305408214; 198061691; 156104144; 784298168; 23381502; 589593334; 384437321; 687803019; 807531532; 593608385; 872356367; 75480640; 98420683; 802834282; 777799173; 824369555; 46892096; 180280853; 668459779; 712435708; 705659613; 286799034; 22445518; 877859309; 432319269; 503759211; 161251195; 718227284; 345699729; 977574586; 379105912; 304322361; 815543524; 711478035; 756959959; 268616941; 272714092; 538238242; 567876646; 673860600; 783065042; 329065250; 604936167; 322308350; 119208442; 591293564; 160698169; 229594080; 955515054; 711030305; 715575597; 658965845; 159907997; 359957510; 432611886; 696438040; 822171098; 325170550; 751882249; 314275667; 347497811; 754350820; 887827678; 572818261; 832743490; 110725246; 482118375; 33622281; 445596389; 337651337; 928797691; 91639312; 92364892; 774093082; 557542226; 845455920; 980223516; 268988407; 835026441; 65801842; 407742640; 77739318; 700830462; 81955126; 423689688; 324353048; 492752740; 97865270; 288492880; 190432270; 798144340; 213774556; 965567760; 285770192; 503333878; 597560358; 988998059; 743757431; 527463462; 347546114; 107564202; 819297178; 564142693; 887361400; 96405857; 426970599; 734468312; 288289985; 619823110; 155507484; 209692253; 390457477; 214301941; 1837416; 95205946; 429260591; 432695267; 174862726; 772303928; 481626398; 783134511; 677900711; 957065857; 37057583; 948871917; 641739934; 911511760; 352618639; 144144884; 642550638; 797834095; 463006664; 464388113; 728985125; 106574706; 844551739; 532767458; 707715667; 851689093; 110184963; 611739256; 513682935; 856429092; 326777561; 744972921; 877791939; 132978690; 135803803; 926136772; 968590174; 567882723; 694782523; 861682127; 152256335; 790725824; 596916483; 367571719; 627420629; 136173879; 198044353; 511070611; 442455017; 834116714; 701693337; 992900302; 771747360; 617784839; 522960141; 346429435; 169500046; 6071737; 316867778; 277787152; 188993407; 990685361; 312029437; 96117817; 687289715; 720968293; 900389433; 927588466; 639758844; 162513219; 710391516; 774529200; 562823075; 765712224; 266138608; 193301190; 214860502; 569621103; 488870689; 399252209; 673757438; 375409390; 445687655; 733416580; 531558204; 948227586; 946302828; 636845835; 162843359; 535088652; 704196763; 433614275; 976185238; 638199673; 18575114; 760098967; 714132944; 73926617; 969084096; 205996466; 925332702; 269773141; 662659411; 827610981; 351513379; 169478736; 340121492; 692665906; 709329717; 647919030; 490994344; 949825790; 520026019; 384548813; 696151191; 765437277; 148263379; 873730131; 940605067; 533176151; 846086907; 527762075; 715335656; 301820554; 230461124; 841050218; 630261373; 744228791; 143619525; 223674426; 240328857; 946432016; 374537753; 755909513; 472304041; 228392771; 951318893; 777143591; 597909051; 612832640; 978572924; 372443016; 712332806; 463371403; 983093144; 267849842; 530278126; 875006043; 375265125; 696106962; 338964489; 916735522; 265029251; 818473463; 448638713; 757806898; 574340535; 179918040; 431791600; 920277555; 385162752; 471660133; 87158064; 993161900; 99534653; 531834173; 937548633; 243645459; 271691341; 533753312; 443292544; 562033813; 798339860; 174427780; 691762520; 746633641; 594698411; 747607868; 289948115; 873140690; 408948715; 457545238; 790088344; 609910000; 92359424; 502459453; 993681303; 170578854; 933143308; 847159630; 902660503; 202816025; 961378094; 586870797; 6597422; 715009393; 544352161; 442388790; 442351555; 413270310; 364829953; 709908780; 948316405; 355401700; 832550571; 741420053; 415584444; 427590056; 579496827; 101833951; 649060577; 132455349; 150302460; 793979921; 268856371; 64571225; 594205180; 742588338; 613143851; 925893458; 573604747; 314432722; 784578329; 120615346; 945634791; 816299875; 720827422; 257689098; 497213787; 618589955; 830126427; 287617909; 435479642; 308682117; 393551572; 158192768; 24162952; 453280450; 798940506; 721966326; 706730633; 951474354; 94194893; 174866621; 632614063; 702367567; 761763812; 324931167; 948598417; 541163292; 384196586; 179582683; 374962133; 682696873; 277922584; 352332351; 541560896; 34363151; 225452952; 660202266; 266195117; 469381641; 124704964; 252546926; 925602092; 420243494; 3721371; 151605106; 860251977; 590861630; 468721681; 547860123; 883652779; 959746031; 823374824; 972573207; 551047867; 680876209; 308132831; 187365545; 925546248; 718306121; 308304633; 756443336; 974590100; 324709392; 269103071; 528559879; 52077121; 457190533; 605555588; 64636890; 728812749; 656837376; 303206439; 756724558; 768541929; 619719857; 140133572; 20037392; 699549844; 200105788; 725966424; 52626940; 642719923; 902223160; 607417710; 611363645; 765676583; 144467559; 272759488; 232056684; 431514201; 561775599; 762774971; 765368743; 678927833; 504996642; 589808713; 725956198; 102598644; 24343121; 168446691; 158488841; 523060401; 313024510; 663699005; 676252294; 389492895; 127110452; 467574029; 531376319; 319752410; 220004095; 181299782; 901194408; 301958470; 877086216; 419799505; 181678283; 766476610; 524326144; 120523468; 906199801; 967103129; 541178054; 667606643; 593245416; 700184361; 862588623; 7729757; 255547371; 513649039; 705794691; 893024843; 555620833; 148745345; 235838290; 571859499; 760890356; 789225584; 620181679; 189159665; 516468687; 237916185; 6004873; 695858848; 355834694; 941682223; 665572248; 640879378; 206170582; 11620037; 598830471; 718853325; 333750561; 46022443; 713162272; 76052352; 458407071; 52642838; 942629118; 875017777; 824776439; 117808409; 210172271; 953278262; 475103977; 370650413; 83556775; 490097345; 216216753; 524648284; 703888970; 594140357; 164389401; 580821229; 639006993; 825313107; 959324446; 105279256; 768637528; 887154661; 713643119; 345563531; 241851440; 468053686; 304233619; 186648232; 635051997; 586210266; 109505328; 543061133; 795294900; 304925672; 64032801; 71700010; 523834741; 372045097; 902849209; 53393516; 328998138; 505957716; 727289606; 759344172; 476853046; 206395041; 412369212; 749583277; 884036910; 298591982; 544587976; 774996158; 78912228; 653275598; 588015491; 441401240; 517533620; 554788326; 515174318; 758298812; 865157144; 566552194; 35566884; 376432292; 913158433; 231021695; 682098243; 850106823; 572657477; 225178574; 301975599; 135216956; 81019875; 893119116; 816214254; 386273176; 200711396; 274749711; 553604322; 701931559; 337684414; 416505804; 900364702; 335306857; 141138437; 875508655; 750682435; 745315101; 421238668; 290499948; 713431952; 729330812; 783533455; 214620898; 537035183; 359697066; 424848105; 592308769; 922974206; 434587250; 781063254; 677359730; 578801518; 254112420; 546264638; 564625919; 288547106; 631717369; 962440683; 871576618; 732235820; 592430330; 191097560; 422577898; 27697112; 445790749; 613609811; 990495869; 528011278; 779882921; 669181639; 556441757; 242540064; 739535102; 238134499; 691702551; 284781491; 115148353; 147823259; 996910195; 329053336; 389570946; 691655128; 934532143; 299871032; 94296310; 661577161; 540491979; 659669849; 757820564; 850815194; 950209198; 209397377; 351955066; 646454981; 556199745; 713339169; 542619132; 702196035; 873883018; 114994320; 357740473; 324418361; 360128258; 30464796; 58763251; 180065047; 671787939; 606458741; 349206976; 961121451; 90979793; 201074021; 916739971; 973003515; 287889421; 689706873; 459856621; 132147537; 544152005; 879220327; 273059892; 571553118; 447972901; 78821172; 142483696; 864224754; 443448749; 511758471; 323581968; 477472237; 698951631; 921073785; 990476246; 861510331; 220186279; 340893201; 205058867; 951293810; 417823605; 169771655; 428368501; 728476319; 580186758; 899237290; 360889787; 411219803; 212245330; 878023329; 658509296; 620441037; 60359273; 296932527; 304472254; 391439193; 281759930; 244250835; 609545569; 775036642; 729201978; 471997336; 224293731; 648455905; 50760899; 123102135; 557496190; 118739950; 530301232; 245052612; 949584331; 662163325; 986528797; 486420052; 68016361; 302564668; 996915993; 824477472; 211419341; 694961215; 577281722; 418543701; 399334933; 501687616; 148512259; 420841448; 265859905; 828017219; 485472177; 62352006; 419263994; 565988475; 213284769; 699240977; 182297367; 921150811; 444071126; 519477715; 971905873; 965035184; 795226346; 178181105; 659684665; 191147930; 374522357; 48537247; 915553762; 833959323; 118854226; 209388529; 875315216; 743121202; 969738172; 688821495; 237677656; 668608086; 353535346; 436943807; 931827111; 13503687; 722169690; 68444323; 503181611; 826818028; 995992149; 922222753; 210270003; 870576713; 514794567; 957653473; 495115268; 274657332; 922497304; 379247044; 635569057; 240726314; 673412017; 705796677; 445980716; 247373963; 94125378; 30247298; 816122174; 834461642; 567408153; 302923798; 583586149; 32447768; 658966431; 39407641; 7671863; 574471819; 86121522; 703427546; 226942506; 172649419; 57290023; 435941924; 350516776; 315117095; 286531744; 993637784; 609526200; 342846696; 906215450; 177373487; 687616539; 934662845; 629650622; 107119201; 183274200; 701577867; 415983954; 124794816; 946255079; 396414986; 34034727; 703347277; 357163123; 67486690; 718039272; 998500287; 867069353; 63893679; 963517227; 981435537; 973410024; 50754474; 267295059; 727538218; 906227859; 899621102; 508184803; 56308256; 923068016; 645073164; 310377034; 61443477; 502079563; 566378219; 193610590; 524805908; 608627088; 195375010; 368338363; 10929718; 838857713; 759101260; 572085386; 438659309; 784537779; 91058934; 793385541; 505974032; 608101361; 852173722; 646111756; 414443317; 709872298; 755996920; 830199153; 501580885; 862535224; 835854845; 330571542; 39633931; 609454405; 631021917; 387184689; 245562093; 387604622; 25168812; 556845426; 19579083; 403115686; 625651623; 755874140; 166524606; 916721667; 283048133; 755772163; 670640056; 565950606; 589677042; 324086291; 312096382; 942677747; 353799980; 743414976; 480961541; 536265664; 438796872; 697476460; 164728333; 835634807; 707669997; 378089303; 597368773; 120655130; 978502159; 492654119; 467903183; 693283459; 386157185; 356892496; 804733882; 837902475; 600352099; 128943683; 53305159; 671520581; 957197359; 931362385; 325461456; 973066711; 587377016; 855673712; 466338386; 61091770; 67884920; 898720486; 169644205; 327975638; 288115824; 9650375; 960890627; 72148407; 471320877; 65405941; 588830578; 835981486; 277507716; 49653032; 808460942; 655723378; 836923916; 539313390; 768074464; 56562190; 665069539; 60061611; 406337925; 811232481; 453739276; 336602049; 239822259; 714397807; 394172243; 896454209; 718668637; 637446587; 10157207; 116263952; 542727050; 792122066; 760726432; 539163229; 638559849; 66301722; 53964505; 210002256; 984708115; 176065099; 774969561; 542681340; 640534091; 882076218; 577385590; 551297534; 747708869; 527615229; 746958489; 554531109; 38464602; 759603821; 171537249; 984029685; 644162022; 200801530; 788810160; 325555831; 473095762; 600034027; 450997974; 929045494; 336232052; 803600611; 433462131; 822703240; 419152890; 945447715; 660516099; 494353410; 69066313; 229328465; 624611059; 621137952; 591053781; 336255491; 128599203; 509047229; 611449157; 310199588; 602030934; 633054802; 737089094; 287447701; 565479189; 906617033; 998565251; 897335508; 462393286; 752152053; 114164270; 148588125; 200661487; 553206077; 744160790; 443352794; 525120666; 750962165; 329609388; 751236684; 620422628; 401901470; 986868068; 872858194; 331530843; 251515082; 315758016; 468379702; 317849272; 985308785; 524711632; 615624295; 498613974; 372457527; 467245914; 206783621; 267031170; 350528769; 387682853; 467543613; 589260936; 593121586; 731302053; 289218299; 826793843; 61563721; 269697783; 861494287; 485860917; 19509170; 670351443; 209578257; 465554469; 173255496; 979086261; 418344147; 854735999; 849003048; 476319668; 952060848; 535566379; 839584243; 497286976; 4121450; 204739308; 62350977; 555170562; 616435200; 976875222; 245218901; 692865614; 293105488; 279433569; 48022497; 952527955; 805313788; 378969765; 690708821; 837732599; 44859351; 457696053; 246923589; 608234187; 717179588; 372382662; 981977575; 983841518; 927011095; 340018541; 560292672; 36039156; 491381937; 771438641; 784984059; 658564772; 874485223; 383442586; 22770931; 816173380; 889324366; 519927195; 101593243; 781667610; 288316929; 761922944; 43639547; 522883774; 783604736; 738904298; 339430769; 578270028; 151726500; 781920009; 389135055; 58124181; 736913445; 99196910; 544855652; 547226239; 458805062; 350190667; 404565785; 564263886; 864511847; 106791622; 363443022; 502919362; 277911572; 907489740; 889052600; 601440638; 834788068; 461972904; 695962531; 415957013; 3200457; 633707260; 428186609; 494793189; 570777221; 528595721; 950465415; 559056275; 668327127; 496098791; 28777923; 648247238; 87160076; 211540937; 274722171; 487284682; 987322090; 859845533; 668057019; 493274470; 609548008; 746515405; 645830083; 448487679; 823467490; 879524609; 687385904; 72315572; 276275689; 502916707; 883761496; 639716784; 769157644; 298078120; 818924293; 983140590; 319435898; 645646458; 812131028; 325311880; 712937634; 491417652; 333554799; 915714931; 882402681; 541204188; 40957590; 656850440; 356421761; 676317532; 5622936; 659572450; 866357556; 212850957; 212638323; 216429618; 598241205; 423964009; 660582645; 66768945; 85361888; 517089143; 357397416; 779658213; 334398169; 45344920; 101672354; 874885702; 719088961; 318005085; 834518260; 385274389; 988188052; 641549666; 327415664; 864290668; 171866290; 211578323; 356201329; 76647487; 258977595; 729684744; 484363673; 416865365; 277170750; 339625323; 277504064; 411873853; 295048653; 382248060; 605817012; 337893607; 178296901; 472917286; 137937258; 997993585; 305625211; 535857787; 357156436; 630600836; 448232069; 94269910; 648737761; 745558338; 394381066; 34134522; 86492788; 383259062; 650939869; 455961379; 201365368; 351719784; 888270213; 995063186; 554564634; 356848291; 150722161; 325551399; 679783145; 269409756; 920866741; 264348307; 466050933; 794769058; 691251159; 683764477; 483802812; 773212158; 120591452; 178153591; 961556439; 752369053; 205822320; 902705331; 352459958; 151630344; 971585578; 988614948; 372860828; 714814893; 742980320; 299996082; 716603946; 784819410; 163319723; 145556174; 402908003; 844749505; 938811841; 468061323; 514528083; 744013414; 590443249; 104254797; 275568862; 824035155; 387929096; 688830919; 719012036; 822337082; 366700867; 380252723; 721884996; 145389558; 678351481; 13524306; 219726969; 574213679; 284650660; 404750202; 987130780; 540111236; 105010989; 901486662; 405435963; 386168566; 14260086; 88240121; 426750443; 113659236; 344966040; 817143679; 666206999; 479214505; 500639280; 10072596; 668084788; 252172925; 514175439; 989751676; 843738987; 52420190; 146327201; 645114564; 566693437; 917662986; 197322948; 129956511; 102616595; 763856407; 662828821; 776754286; 19405554; 510541809; 335713783; 567517224; 261026794; 432539522; 212967252; 99166365; 446253563; 142722813; 104824695; 60595603; 244139769; 755035094; 681726466; 125173240; 9578851; 619529435; 636415912; 876202954; 78469011; 717871799; 82900499; 878527333; 820002426; 518551060; 47490290; 101806443; 389234853; 386551227; 277328592; 737604086; 132185282; 669034485; 969435585; 598100955; 715811776; 636504784; 856744429; 65590208; 898833611; 55518828; 939547371; 701227139; 99840370; 281535449; 71566599; 75896634; 27526300; 114765775; 784727425; 929364147; 327420087; 138185847; 9772389; 13166049; 310284843; 840314958; 155692526; 281999868; 538436225; 461005202; 107068321; 295215952; 462345389; 106901092; 485209488; 184976943; 393386691; 209708309; 191612465; 751478592; 38400941; 669583145; 614108024; 640074950; 131850921; 224195497; 918701737; 214072355; 728940370; 853807440; 904862675; 440153458; 739254614; 820984788; 899613793; 967296548; 95722450; 453022010; 933979785; 386684850; 538790156; 639525323; 762890702; 684661339; 774632435; 378089322; 225886548; 540219173; 774451779; 485166257; 67113848; 916253033; 699535512; 774795262; 809291986; 763849599; 105766401; 796439230; 347886791; 591223154; 643944645; 585946760; 853220638; 745467455; 843961391; 533033587; 648456993; 669100164; 130348532; 937840327; 126110711; 874305014; 821819998; 886853806; 917189549; 477262712; 4191601; 564864806; 797294662; 718628210; 325044849; 695231254; 228514290; 595127536; 347062987; 501331700; 562518091; 847419589; 307899781; 539024531; 116965848; 221822793; 866296887; 334685650; 323707837; 748457326; 732555907; 970997331; 304449202; 228940288; 252590977; 769624648; 392426317; 114951730; 403636625; 65941958; 602535988; 941290997; 268778904; 936087319; 818876600; 92608052; 994049900; 529071482; 235847346; 156533418; 832863780; 940457909; 228726355; 745384272; 453710879; 438555133; 61481725; 213525205; 424468067; 915967002; 208399975; 749434019; 145356082; 436083801; 630053680; 23170609; 29615523; 14776093; 660036083; 284320398; 784924981; 103301722; 277334674; 689769090; 222833413; 463497468; 581990211; 794407154; 598563157; 642264712; 214883292; 57145794; 611740147; 316064632; 183121636; 529488030; 713886317; 237420240; 269498457; 564536197; 18387356; 20515055; 132931990; 746087756; 622754828; 859605228; 270612887; 479963670; 599736739; 331999666; 968333759; 478220276; 578730886; 312123930; 194810515; 70304493; 752818835; 593587012; 217597220; 148384072; 306543279; 645496960; 389563472; 689716124; 709441316; 886503896; 111926986; 254986711; 299853548; 615680955; 532067658; 779871424; 347203465; 424083656; 593446231; 186417032; 121671462; 848516170; 980413883; 714077280; 274122656; 322170780; 135680177; 308493679; 265979305; 980182866; 763411515; 115135797; 779671590; 707046748; 966022020; 746961000; 492381879; 83665402; 779728695; 705854087; 744869949; 268069690; 687432118; 409025612; 891709245; 798766316; 472170991; 696814503; 67387522; 482822510; 589276708; 13996119; 724767823; 522404097; 795688697; 446833231; 468352728; 130350914; 92120063; 303002245; 705712736; 504931677; 467983834; 288931058; 217954806; 547314205; 9688871; 170344406; 449686054; 435050745; 482666621; 396553003; 487586433; 406995978; 859004499; 945200437; 445103856; 424650261; 437296786; 160091128; 364137204; 280646892; 937287854; 835902905; 734961520; 749091580; 426027322; 27549675; 222097820; 492696140; 544895652; 129658139; 851718998; 763152507; 415766999; 473936583; 782901222; 770764330; 153603879; 366306397; 422894072; 876218872; 726960789; 229086088; 242631193; 136685804; 657884309; 427359214; 364185871; 265918942; 384184510; 912530420; 622103381; 266207244; 239390389; 48521135; 441753237; 256977240; 133849630; 579369454; 154046249; 937204148; 784363338; 653420708; 678159901; 682224900; 907542747; 961958137; 662702044; 38787740; 695943210; 264935143; 887146647; 128269367; 674976090; 504857095; 405195138; 374226705; 952865939; 10363092; 926672936; 827263440; 992988245; 542119717; 547928198; 934926247; 292266020; 816717854; 767206041; 11767068; 761747754; 395951348; 698644151; 139855839; 93023263; 627447273; 682484168; 703158195; 841969922; 218162894; 766202511; 900361386; 94153238; 277274942; 740955526; 645846502; 222084099; 400928018; 807356852; 378685388; 934495764; 412321665; 904995946; 783396093; 842581450; 373874962; 442737980; 466880851; 5500653; 177066758; 297564931; 793161302; 302530136; 511943523; 617396687; 13243465; 816544425; 484808777; 625168317; 307375821; 215338712; 73090113; 221790043; 735275174; 621241982; 576869490; 177097903; 434065749; 355235213; 21696126; 656547690; 245072611; 207228542; 477178537; 905475705; 791774666; 370147878; 465023810; 296552025; 810219913; 246356315; 161281101; 258682040; 453800214; 980282937; 768980182; 172560379; 480722808; 881673460; 795982666; 677874875; 376907516; 403667377; 426089990; 931432601; 986043866; 449798831; 965755201; 877047537; 552357535; 323997857; 778521883; 299140642; 694928323; 236517854; 301514239; 469970109; 844657739; 905273260; 68677008; 752546875; 555750605; 965368118; 346975839; 320153753; 890657328; 370759910; 326300523; 361204642; 672027973; 659475632; 164943876; 735627829; 800036331; 607321884; 22618501; 945064190; 232359073; 624917983; 416495664; 191484105; 96210571; 861164540; 229889095; 170611314; 309756653; 453517442; 360101524; 40182056; 419254962; 379702688; 419383449; 661599392; 902465566; 977344788; 238169649; 837886834; 644510375; 822034485; 436404118; 60474682; 641397071; 732215680; 704588629; 418744616; 22555554; 883253333; 577516294; 740680184; 800712521; 763568243; 166867832; 694561312; 453698769; 929071274; 45961852; 646357776; 906369822; 960003418; 642978768; 923153983; 462462807; 441469159; 975511785; 818796375; 13061984; 62807383; 423307990; 108770293; 491245407; 909311400; 113230781; 863799141; 840899936; 715723312; 340691716; 269392014; 87609348; 251466970; 81962387; 945915473; 434257719; 817959186; 752419559; 15050906; 882887739; 798317778; 920301376; 879375758; 772235330; 219862805; 289765137; 79593065; 364509034; 94670309; 328986851; 450436797; 681695769; 802874598; 302965611; 548803735; 687447386; 626421274; 241528057; 424686671; 538909106; 635748415; 515532156; 220470682; 242771826; 687883842; 392176335; 809852262; 716273639; 565507424; 568072226; 745103990; 861024694; 281179502; 33366513; 611091211; 292540781; 194384412; 754195424; 243323030; 641384874; 171612861; 878609865; 877327621; 705584869; 655638886; 172984699; 154382270; 716072668; 126067057; 648936876; 710354490; 412172833; 840869771; 557471778; 742965422; 330860498; 406927212; 712326474; 341406263; 575138360; 184943817; 970545121; 175223031; 924085225; 449434884; 187782126; 171495851; 768716569; 250438686; 922630070; 162808845; 758506048; 339594056; 115935389; 458536273; 722928047; 433213069; 674559140; 567855165; 572531446; 437261993; 547528772; 130106890; 205713873; 385407712; 234127341; 830808653; 63572650; 666126259; 675342225; 553621919; 887286253; 895260311; 481417750; 537748229; 359858118; 722668094; 598676490; 955709578; 765577359; 588114826; 481328606; 522449454; 248178882; 532371387; 186764161; 659672264; 531104660; 305713282; 633200585; 765944549; 340343028; 624440808; 253124973; 538529624; 780472834; 119884814; 953334605; 648179362; 315301370; 513034440; 899751775; 563170447; 209134507; 207876425; 277128030; 467461719; 906953487; 619448050; 417895547; 883512713; 169343662; 326137338; 517832160; 212076261; 77387326; 282951065; 447337531; 796110121; 775635205; 793998942; 866076785; 995438122; 397852697; 933460567; 274195894; 383650474; 248465290; 637875565; 498627614; 538034034; 407412895; 931413394; 155069591; 760975128; 500490863; 526207464; 119660256; 402810652; 6231759; 302646793; 849076769; 915937596; 77737716; 353382057; 182391240; 325360133; 576519638; 122006239; 426056871; 322903985; 44115428; 291663041; 38447964; 379328175; 659239434; 915342114; 773113809; 435127599; 584488661; 20802633; 789128521; 459996626; 609458500; 108403145; 177731317; 730017426; 288795724; 880636878; 510499157; 874650585; 954313362; 600561506; 890411103; 995850330; 980219082; 936724713; 972874604; 113154008; 925756228; 659319594; 661884619; 539469994; 951910645; 318045208; 208142063; 153345529; 58146804; 863132300; 640074959; 101663102; 449710593; 345123077; 841774926; 837277424; 5609682; 776193072; 178677051; 67774698; 202024586; 432083536; 212887641; 180981525; 943067197; 930902281; 529790005; 527758074; 528234749; 453186210; 254305097; 440074139; 719738724; 231409609; 50180430; 463983102; 394538670; 964772704; 113710452; 199771185; 947126055; 832581440; 465302771; 677298093; 626033222; 65934604; 557141594; 618103185; 747799953; 220793886; 715573827; 226562041; 474372890; 876699056; 545810662; 278524051; 647717170; 880425476; 337993606; 143543197; 674454263; 30485978; 542023106; 635391340; 368258062; 858414428; 459895136; 81810869; 623263942; 71904775; 733017653; 3257160; 955987163; 769459492; 595041258; 399610049; 203570730; 462720055; 351620132; 257584146; 409966220; 242155586; 997447042; 808322717; 528225311; 615509000; 349291065; 601610163; 791569879; 255372151; 747433608; 656462710; 616176789; 556386116; 64207688; 404090963; 664057896; 882426521; 958745976; 249529132; 383519410; 529924640; 190837427; 936334133; 664419976; 393828040; 16597383; 391222621; 181660758; 289552083; 338747754; 311289003; 761525166; 579924860; 855938530; 482400316; 730137797; 644535388; 429716853; 37243795; 356236813; 992169613; 100393310; 403105964; 190169326; 252997337; 536578567; 283308741; 853054080; 18300158; 626827610; 971270932; 36523668; 558316526; 489248464; 733024290; 664208599; 731290035; 980332699; 331545266; 447503228; 66830286; 290871090; 122686563; 915048074; 882203672; 243761311; 494570981; 944839692; 160834566; 892935812; 153464185; 406320990; 413058083; 391470840; 504507293; 965990565; 463889105; 522796302; 977376607; 454750928; 154805856; 904285332; 809854230; 827245688; 499467946; 115954994; 678044105; 632769508; 681773826; 300257514; 216253335; 119170222; 862633951; 706805233; 789668490; 157612607; 200587281; 863222346; 415729787; 637165729; 210580216; 550288003; 847379034; 83088159; 900091703; 482024976; 672626924; 665126656; 343313975; 356205451; 369781540; 527125643; 518008528; 957570556; 530911825; 933611234; 12747404; 178404863; 62523615; 873925844; 915008100; 146147319; 971644491; 843012296; 395991207; 560918319; 594647970; 44328989; 246434640; 916047667; 992173867; 597490090; 56673897; 538831137; 512112861; 818787386; 795383469; 494724133; 688865476; 325490330; 911232429; 350172270; 533515525; 31555297; 838764031; 869955248; 576906911; 281131117; 965347857; 431551523; 802792199; 77927702; 635417966; 926080849; 463008189; 316224621; 150617510; 562825207; 813048585; 100519896; 665633741; 925711847; 549060675; 478456209; 860035967; 867693921; 271984538; 532414663; 32830327; 578892237; 542165116; 206820898; 249746087; 809842400; 134302359; 910567754; 45795305; 511978532; 632056752; 942070394; 340309735; 990758987; 685914211; 887914694; 792795099; 838292628; 376689743; 310084120; 404424468; 774442839; 937361296; 353124649; 757197016; 919206247; 10665028; 482648276; 396529581; 924112819; 708863313; 28392373; 209356915; 549237609; 147546935; 901347273; 659321078; 503645415; 456912870; 951049796; 2141147; 488128069; 904467583; 977729171; 90373205; 853954707; 93509668; 533184971; 946524347; 698968854; 220935105; 396081351; 448552309; 177823368; 219665004; 575489025; 754994258; 956609650; 544387882; 803989465; 239498439; 779290903; 183061653; 652093164; 372158138; 151869953; 224009123; 630717653; 861156535; 779457977; 162951920; 304605136; 26317500; 673826759; 790239519; 69537735; 529302750; 74362454; 376259388; 142120771; 756440227; 225639916; 586674529; 416563484; 699628267; 32473396; 409358154; 236509130; 384068184; 789626037; 148769239; 790004861; 882999002; 113693636; 893683402; 927872522; 522972675; 545535202; 875035079; 238746861; 630565261; 457201226; 713909678; 342619950; 339170711; 389583848; 162934521; 367012027; 101516838; 596992239; 689744793; 452631902; 698890992; 769239504; 793020655; 267032966; 613644452; 97474368; 731125100; 38082803; 402037323; 873077076; 822377458; 546623749; 199358731; 116808391; 293077137; 482828536; 999096398; 979284899; 880737302; 452137555; 872626904; 581801254; 981899168; 802735827; 173681252; 639354195; 651943636; 245669476; 89675195; 345729503; 79414217; 253769581; 186443125; 119824387; 274198495; 940922572; 94896809; 692462972; 771844935; 888398937; 496908603; 253319301; 511682790; 990988682; 336310952; 235091552; 431583247; 721125759; 807655269; 2732200; 949424943; 757132666; 260136852; 284922698; 203016354; 517744582; 305204070; 175043218; 653424595; 119393673; 828478635; 701332925; 753615336; 862288383; 1654968; 562677046; 439147265; 489698815; 948849696; 603243149; 985398491; 508423322; 708554003; 220809129; 474558040; 78312231; 198134566; 207086586; 231636819; 771698792; 581173667; 331916938; 512117726; 131009430; 457838937; 54057143; 960759199; 487509864; 152416886; 435108788; 940715163; 748860228; 609715419; 550583848; 954413228; 220733916; 848071823; 593329324; 247918724; 676448622; 576904137; 589079622; 892152760; 720611345; 566284189; 314187655; 396394533; 905505800; 30399423; 479718980; 748773353; 36008622; 455202271; 261003477; 362460814; 10144663; 985477176; 707491204; 711699519; 185855993; 437644953; 939417540; 695784442; 249556486; 431968459; 968428575; 185462068; 819282691; 377281464; 5768789; 216221404; 436877215; 842773505; 447018746; 742866466; 751009777; 700449983; 699271081; 668253553; 971023312; 438447893; 927037672; 714835184; 446744308; 597447925; 836359213; 771461963; 987784048; 401152464; 410415443; 514570654; 951041605; 198337406; 809832693; 685090811; 688118514; 323749820; 323352213; 821964083; 126539084; 784070552; 676960100; 463516716; 565382006; 163314280; 80229122; 607028734; 571248930; 536040511; 108255601; 750237653; 871483690; 312398094; 22712474; 455569795; 758338504; 436193212; 392025604; 250386181; 967527628; 458918577; 523083475; 965873848; 940505515; 358838427; 743670923; 782955769; 751783755; 557191108; 457917092; 253890200; 829315231; 82258222; 101128386; 560837958; 387088578; 686431672; 68604824; 659827184; 170944772; 951782976; 558872016; 568323900; 489947227; 373258871; 709517022; 823486453; 953074954; 172229998; 713346615; 39620682; 874907717; 304642991; 741484849; 341462453; 846639744; 326855200; 144318082; 690136804; 298243596; 933674299; 101670732; 587548471; 622218298; 521303407; 820734323; 807029723; 217515259; 623335757; 541644438; 866271312; 49370470; 671292519; 119712551; 409226982; 634833192; 496427743; 62270180; 978224323; 796567098; 627048541; 409292865; 515327270; 912781910; 105543769; 574686388; 611150849; 541036321; 560452092; 797447338; 859250066; 731443509; 779408531; 808675248; 292627884; 724029081; 167455501; 667739603; 682149342; 92918258; 499484230; 653748889; 810288126; 132653316; 453021536; 445836074; 8081469; 993148462; 722230609; 828947796; 254718635; 970373796; 301112477; 450220074; 744130892; 972573335; 375056718; 697175261; 303016157; 866121895; 795533664; 552003185; 833793605; 762325167; 891995743; 345256790; 717097645; 436940331; 106278844; 27754746; 379554207; 286755141; 369110163; 607145102; 655009341; 571835204; 47862801; 352550562; 222785719; 532879327; 159316850; 197480575; 754125851; 191110; 83467704; 56720530; 252204408; 678152626; 254395688; 212999878; 973416851; 161183273; 766741437; 156510363; 790591476; 260293080; 36139309; 443711906; 944764373; 745513065; 878715680; 587442381; 925959446; 467406376; 699593498; 436986679; 472003764; 571681218; 573189543; 301463730; 91248982; 149014672; 297958210; 599611288; 710981358; 781972278; 413272483; 986862277; 15594348; 980697792; 163524222; 278137754; 226656901; 271273962; 931136580; 401764852; 144459773; 50817760; 792741695; 878926919; 242382442; 84874653; 998103613; 749287106; 273846270; 920868875; 356147066; 372452972; 929863673; 70897077; 858049244; 136815880; 649360402; 37347506; 378659202; 695173373; 821725981; 362914096; 187868377; 467379441; 566055677; 334231649; 511436287; 52846067; 654418359; 321027058; 359874542; 355946773; 148969692; 815223919; 675157406; 286813647; 336631942; 944759774; 18737877; 70291224; 238121572; 338158151; 83941744; 884547400; 111284910; 993700963; 200783779; 811072935; 21408585; 147830732; 988656088; 576098186; 600538869; 853492825; 165670177; 570781688; 481646771; 69693534; 650728418; 688057818; 732146488; 360409809; 112951612; 58245412; 525826840; 955257922; 271507710; 985230075; 386035708; 992377878; 301700151; 454416880; 329296798; 616150455; 44215072; 730432258; 834324438; 284748082; 597962490; 954197790; 640432076; 776638870; 131011479; 952222292; 637468025; 56551706; 94968433; 843076063; 129506822; 977113980; 667927827; 444109128; 521262209; 534792971; 330232528; 519513376; 350734269; 413700549; 950458591; 53511096; 244229852; 283898023; 424175978; 587836618; 370345453; 883710455; 503023245; 105502666; 422906353; 205316474; 610333478; 967159939; 740365028; 981589637; 99051327; 961005126; 448441775; 579297767; 783630248; 894282873; 196592762; 356286781; 198120281; 893390942; 712743141; 283253492; 265694962; 442804457; 577959835; 674858151; 703296695; 190429874; 155591215; 690809778; 838141920; 346499602; 392040890; 255376212; 435541270; 739293618; 360344406; 183814564; 509338256; 320013256; 885041868; 455750625; 399526024; 628496865; 494219611; 265829064; 655626921; 414489838; 733489019; 186299079; 678746345; 385746299; 86174475; 321405377; 636849670; 832591081; 494096747; 584971536; 339294606; 723066776; 88177011; 102454268; 242953706; 744612204; 271091184; 343654145; 186323516; 133619441; 161334339; 94148197; 820445624; 449400585; 638939726; 681038749; 458087092; 523993155; 940245700; 759399604; 791113066; 681216247; 264218754; 935070793; 497939615; 472017383; 563584451; 96283537; 136393106; 632803692; 67812024; 626524907; 130340981; 663121947; 527873691; 58976995; 160554817; 681328210; 73288516; 848826591; 418824905; 633423409; 225626614; 545129803; 343643609; 319227015; 381011201; 578717739; 683077646; 834317071; 885582234; 457160624; 614251152; 566305412; 359653416; 919983865; 677669170; 775729744; 588452752; 412152068; 263713774; 449561728; 251321697; 758798994; 472364333; 13452989; 215499485; 427455875; 733265560; 555351713; 897521972; 52992027; 425460241; 312316635; 430226152; 866681943; 562973788; 51141434; 22586068; 718763708; 798113515; 693452496; 163201424; 97209878; 638739852; 32835305; 928145863; 940060345; 122709889; 279817012; 23460670; 628214938; 795302735; 153842139; 969270970; 284181126; 475764923; 260121030; 352214804; 559132247; 565888408; 36050659; 429968280; 999257738; 197155659; 399904050; 814553767; 719290554; 128621594; 271892338; 897883593; 937609771; 496891826; 727461131; 963364146; 423241183; 536922299; 388453961; 544863644; 623247080; 438052955; 820474308; 975952727; 919596825; 167981981; 128402831; 847726830; 708162115; 247311948; 700348516; 418905225; 26204255; 412216841; 14823379; 426653713; 805260024; 189898378; 564069453; 875582163; 872461792; 534948783; 708516364; 397684043; 318986601; 636137976; 131421585; 393853462; 367034150; 331647615; 126832238; 810093983; 480966333; 608481935; 498576789; 883251989; 894714261; 634473406; 651831769; 331001046; 264640449; 286088627; 53638573; 540749534; 353803612; 112698294; 37927009; 116622311; 253565735; 445929891; 651779003; 918247054; 943270007; 206463198; 746145035; 823311941; 27887729; 843266329; 425426981; 807981526; 735104779; 808459088; 895079936; 161255772; 740666384; 83689724; 666621557; 709255072; 499290939; 304249710; 547946489; 93840578; 867086643; 22936005; 777065980; 659413981; 733504919; 15049961; 237574092; 68324446; 603627490; 805137383; 222935431; 519390195; 7118712; 945817983; 260363723; 825197777; 456671713; 158760543; 520121107; 810462777; 780487155; 723840669; 120584278; 888337605; 749902088; 483148487; 365070031; 302702417; 962285121; 912311523; 101210012; 712874489; 6324937; 841064360; 696401089; 633808849; 405141792; 692764923; 484449917; 195463638; 459037831; 389160930; 776686969; 747230108; 770355808; 685488287; 326933302; 851378511; 193929573; 673874117; 9519405; 581765200; 990847043; 467718633; 53851304; 332656955; 814517741; 11065289; 171692410; 123260937; 941837143; 32961787; 986783707; 931922060; 250391047; 86826734; 198607871; 488015331; 158990313; 35723714; 864642783; 789712130; 30003762; 233758901; 169882036; 845200979; 522776078; 948998960; 531343661; 354000394; 863002749; 946494988; 531130104; 941852249; 497566688; 570003048; 46420337; 134639585; 950357205; 981611551; 942156310; 923305067; 889237050; 544512149; 183591358; 190962207; 892170683; 77990322; 124178804; 712406116; 868519128; 297078627; 56836479; 874607904; 717348152; 214733837; 205035843; 587822176; 591793609; 153553773; 167593446; 429184338; 513366945; 709500553; 983398506; 143951412; 199507927; 815223909; 891406672; 810415370; 613681838; 733233642; 115155989; 184104680; 383616310; 281012764; 294875557; 991192749; 979583317; 919920136; 352379087; 781250166; 539769949; 149072925; 576985566; 484517220; 961853207; 356783813; 382417288; 54546077; 805792283; 153943757; 156692571; 436546841; 503314538; 352254353; 28686316; 339505691; 656690436; 994336148; 886971752; 846884743; 810938448; 155548086; 859236161; 614638421; 839054117; 413400623; 636908983; 510179700; 652438597; 228224693; 337616254; 972475804; 468067223; 968868273; 482644907; 575828404; 704245297; 778682992; 597497646; 77535714; 408124920; 209431341; 48683825; 455999282; 126956166; 857951286; 6524747; 565807558; 353761516; 156745983; 312330803; 45603373; 955454260; 163387438; 149610768; 131585998; 921061309; 502581024; 330609141; 911244183; 415359109; 843140805; 664440439; 754426389; 491502182; 846619257; 618601937; 247926835; 186211970; 718454076; 116698947; 767612136; 695270275; 218795089; 758679389; 896118312; 979242672; 429143165; 21727548; 469373834; 326238888; 684999469; 881243905; 675699993; 66792724; 917796605; 354361922; 606553921; 826254125; 587716494; 227243322; 278341394; 149888410; 408792462; 855915930; 294138396; 500038320; 552444853; 958896390; 629279231; 473921955; 353164465; 750683228; 413283190; 559083674; 973084895; 350327728; 324049830; 819448147; 72359988; 311378114; 957890571; 262787833; 761614414; 110706464; 373073998; 978790282; 243098711; 208171896; 677151781; 309510800; 376272764; 886711380; 926135931; 603275077; 837220302; 389591541; 378060633; 436215490; 21553817; 595305410; 663724925; 360353976; 333622753; 22542545; 485068714; 519826385; 523531926; 358129826; 390304613; 830433583; 206071137; 724386796; 290146857; 535198282; 8380227; 47696422; 218497491; 56404889; 267231426; 69247514; 357216743; 243565965; 362912984; 302097974; 436866614; 575477912; 861256252; 512504058; 956661775; 250667384; 829839441; 867117698; 759428727; 45299178; 950461676; 760133624; 306570459; 307558692; 290739306; 435385951; 795293771; 966661941; 616868071; 24302014; 147800457; 449910800; 493631355; 106917275; 69319818; 744873396; 51679898; 414107677; 859356072; 467790182; 344749775; 382774478; 933107076; 604932539; 869464051; 712410701; 498246990; 515914345; 978269073; 394680608; 440184752; 482056547; 249987166; 250057797; 875225271; 132674862; 365141148; 49175762; 7221927; 612189608; 136923525; 142563764; 328509157; 98042181; 377397726; 921055577; 264079780; 226574179; 588023400; 935505634; 322673301; 722627840; 560165330; 659129168; 880016627; 645627214; 820577270; 560667581; 267483681; 820764801; 748046895; 630408123; 71614722; 578358257; 321657976; 504076977; 180449652; 158526096; 710459176; 610318115; 343457530; 817036635; 478829613; 349641233; 967451815; 989383848; 632907539; 679611628; 3338194; 57803935; 954452660; 372653539; 797030045; 955635644; 441137630; 965961460; 709443093; 288706950; 962942616; 79950283; 341912091; 680949768; 805490642; 272381045; 89937128; 564716647; 864523334; 863805192; 972096452; 678411219; 66700733; 607362203; 228937879; 180424789; 311759649; 783908559; 353669394; 974243195; 605926888; 167478142; 561509326; 158672140; 565852180; 543181455; 259775499; 518917978; 92076061; 453404582; 22868202; 678276012; 559889638; 479069929; 464079299; 871916070; 256306432; 471642455; 226515558; 769749762; 538992818; 103320420; 593766215; 906398784; 697985055; 931366105; 260798596; 765143089; 961598039; 663855021; 991893818; 205290608; 151591441; 547396930; 661706823; 532857877; 800640210; 201889559; 929291626; 857862514; 942492710; 555984106; 598315703; 765180319; 174207982; 54275227; 503319496; 566826387; 732979842; 31922859; 25145329; 999226186; 447509733; 390038315; 123022592; 632407090; 876605201; 778160774; 86840969; 340259980; 523294054; 266388962; 499941941; 448975754; 651064339; 587772257; 185725032; 305084357; 85250685; 484949577; 964245830; 787789559; 928053917; 242053520; 388249720; 102628387; 347878240; 982166799; 330734777; 292715402; 691526137; 720503407; 159918307; 4407442; 778116019; 736579081; 788307779; 278349816; 299268242; 157574211; 683883859; 404259787; 364893645; 9262794; 558861477; 366413488; 294968259; 546567397; 568316916; 752955466; 855589734; 885622077; 840188739; 576149977; 280373544; 527814903; 886747847; 443911945; 12591466; 979237229; 257895713; 120115109; 611773736; 476983738; 829713323; 437582839; 700679911; 518547936; 718827144; 537229440; 393638791; 819224799; 650292954; 105780307; 850882155; 144012597; 988196512; 951068196; 124493438; 155828004; 223784170; 534685032; 335006116; 119938264; 894275994; 590348912; 34028063; 68771942; 281446282; 750644859; 859898946; 471600008; 92139735; 755329289; 487562531; 331165104; 691224782; 94181281; 574549795; 446513034; 856151505; 172785387; 709643754; 806729602; 471942916; 926914984; 773707072; 67647299; 819961677; 510633383; 647192410; 306849447; 72017865; 345582441; 914334787; 319630859; 19611860; 862620217; 445542396; 99610393; 9584732; 367397851; 747629700; 912645785; 782699626; 326694003; 660728684; 319415528; 17961446; 678383108; 61117671; 349815823; 183473684; 661239726; 765695347; 512036986; 392073687; 936652365; 10258403; 913414994; 140857443; 640638148; 411681631; 569475030; 212125992; 316498943; 318434193; 523393740; 584520776; 998261838; 275215604; 610681382; 720355946; 219803192; 413630367; 798351669; 741201366; 777010579; 499729238; 383014402; 420256483; 291190137; 322709428; 576523215; 338330540; 969112457; 187570124; 70624011; 68754182; 672642514; 175462387; 114130517; 460481977; 538155182; 892476757; 418942814; 872162277; 213338544; 337612432; 904111113; 519436940; 342138634; 118928233; 123211100; 90401757; 617911172; 562391218; 889318354; 124529263; 495787172; 638348305; 886817805; 569199910; 485634095; 848778720; 109676494; 920904932; 629403753; 113659237; 116009117; 654948905; 645376055; 414065528; 461555242; 527755856; 920228357; 330126005; 172218060; 483888817; 90933081; 375189159; 310669680; 792975986; 870455538; 251296201; 188117655; 633906507; 80854410; 562817629; 595648184; 416280287; 533990561; 868919398; 316506709; 532026510; 298172470; 625711757; 611015370; 138512091; 12922031; 668284073; 913973564; 929482649; 103126621; 239042365; 986127464; 97603766; 884777015; 496925023; 581246321; 337819543; 215377505; 120046570; 825822370; 832541694; 693701382; 94341939; 935011056; 689904122; 235637587; 406755694; 81205847; 328232013; 153801359; 427246432; 304310472; 38374749; 850938412; 776822150; 720803158; 217620076; 276514970; 150283306; 770847527; 81722556; 154630249; 931381766; 925022950; 413339339; 716346794; 472543677; 533092116; 644316733; 734058919; 656550714; 563990490; 787322078; 913116296; 77197605; 587827661; 784822554; 623366377; 939706739; 245066760; 980124616; 257233308; 689684639; 667833759; 367443466; 579661218; 406536593; 560577092; 773313222; 800070907; 799646415; 154722619; 356956677; 582613933; 14382394; 331759619; 875798556; 966140758; 931952982; 164483357; 769483928; 282788883; 645847897; 379792202; 518539476; 215392706; 740769641; 76679710; 282623998; 363459544; 850964692; 686278613; 283820867; 554381667; 287546368; 381719729; 373129007; 590348881; 669047227; 792415111; 135177134; 683494911; 2136992; 972783594; 682411018; 95346748; 844301845; 693796617; 723292386; 199963606; 16526311; 410100231; 246296903; 942164630; 950362620; 18712061; 952120107; 418433108; 406189598; 338650425; 207546422; 427740052; 195818393; 511955507; 862151364; 571863570; 880263403; 681251699; 996909766; 712916363; 651284464; 381988296; 505753320; 79823272; 256222931; 290160337; 661435591; 292126572; 496017691; 402809231; 571584390; 678369638; 607833062; 643773284; 100761655; 56163405; 94522504; 839203721; 81034118; 732983868; 176955481; 216150313; 657456685; 80589685; 864318871; 812199476; 486604001; 906545355; 450774593; 467401755; 205830621; 775207394; 458626206; 723722515; 143041049; 35114061; 580456074; 298070358; 628798255; 466478016; 130891594; 179776469; 873259073; 186697368; 481652319; 153287709; 762914721; 657292678; 110375727; 115164071; 303502894; 57287155; 235298525; 553820179; 99256638; 862305549; 59180551; 652546607; 541082436; 697271936; 205243477; 425669452; 525726997; 596910157; 55611534; 467420068; 484651436; 253721921; 114035116; 492457754; 108493904; 7305627; 24106459; 718958412; 888307390; 482954269; 739442668; 723820783; 972076104; 453116420; 527243006; 672329138; 261219588; 988187082; 692172139; 683243361; 359994922; 446341409; 34730512; 513051257; 549004992; 875407441; 339475888; 801978917; 341913072; 352032824; 73045462; 788143941; 486806907; 941207758; 704466288; 961300646; 615117414; 457455664; 307748117; 662071893; 681399497; 884371865; 811984687; 490101097; 639878390; 776156711; 30933800; 734355766; 49832018; 21553567; 494787326; 518872501; 588652671; 983971993; 557308620; 772727782; 172776052; 436625251; 792626344; 812399963; 436225778; 545922646; 288019242; 909659552; 683990603; 181957621; 71708368; 701403686; 39788369; 354644587; 239947505; 850151930; 559408927; 208751774; 267518467; 130976581; 528258771; 630843052; 224250644; 80358985; 930100659; 812714860; 878438919; 764846926; 902537298; 791516676; 921897788; 966461607; 980354211; 14741077; 582690108; 762726440; 802931766; 632907183; 28469309; 167463751; 738558818; 41149020; 99348568; 866093586; 614408536; 24104620; 338348521; 48427151; 262170212; 551573846; 886543808; 984129027; 563658956; 739251594; 863604404; 487838126; 248838626; 779830378; 682961964; 916562779; 955560284; 900325568; 664607494; 482503806; 263463112; 289806901; 582499696; 798157342; 659860507; 620710361; 936303085; 662932607; 188614683; 891858757; 165614760; 366850729; 984664468; 267661679; 141881376; 922523934; 682894967; 473632549; 904459684; 872326084; 183075629; 423123883; 877288855; 172003090; 440448080; 950794820; 387857036; 278163054; 472637823; 901824589; 726975016; 720036600; 166240653; 923302162; 319580533; 596306679; 228036778; 640870425; 441026158; 907699090; 394462675; 449037853; 247866276; 674405405; 893516684; 299087375; 87721130; 38054049; 904233468; 131186639; 123857708; 370170186; 344537991; 935149775; 955633829; 21999150; 544822001; 336098034; 791968; 222850775; 664573907; 671406800; 650644822; 624821321; 938638689; 317501504; 93437412; 756288866; 278335803; 909598407; 39975067; 258994972; 933841135; 674873967; 465081292; 174638121; 646906895; 505547010; 668563309; 558420199; 995225341; 20985172; 41349614; 496798587; 584219798; 335521128; 605527342; 663245372; 125415394; 168619762; 997267443; 490625272; 855214493; 998394747; 597156032; 777221429; 541754532; 225342305; 881154796; 637091365; 509500954; 679382043; 412009765; 646899645; 276283736; 881671311; 264922912; 763488988; 668927793; 69172732; 85477745; 873580884; 258604031; 106906998; 192681507; 902446708; 357272778; 146919579; 185735589; 950058535; 653675656; 78499060; 287665972; 466592532; 321113820; 14918203; 900492232; 366803924; 858496276; 199454832; 416508219; 674941272; 502177710; 565107217; 776372522; 937637961; 426627269; 286083577; 910453801; 879458000; 980962192; 752531195; 148885466; 808249430; 268302465; 882028305; 116246489; 235335348; 535188395; 245014809; 519385307; 943717922; 171225450; 364427323; 610312247; 236720240; 826629251; 669292792; 986093700; 669216263; 862269858; 400897320; 812023189; 746811695; 107960223; 232285054; 835761991; 691140534; 582225403; 330780571; 519658877; 996344573; 938573311; 223953098; 68659660; 741740498; 84523998; 76473253; 618535018; 461634778; 224291426; 5940777; 2209975; 175691483; 935735634; 184413706; 227320909; 651173203; 675093616; 906126877; 123463684; 927812281; 183640699; 621695948; 41260416; 243988536; 308119346; 545672418; 274719937; 649943810; 938471446; 165015341; 759269150; 786324433; 806537412; 287536065; 679695153; 27677199; 350332333; 993613511; 341942147; 404930292; 453985639; 410537098; 414719146; 767107114; 604078145; 271194973; 122155184; 354368128; 328086493; 566273160; 154937574; 312551762; 824867586; 256511252; 537055020; 224670644; 545790786; 887824585; 325840333; 822797125; 415543330; 798702452; 263860454; 137411294; 654572426; 805271771; 789788500; 853249358; 490343154; 174580068; 263277734; 91792123; 536858743; 305934676; 614536272; 21735800; 159046937; 219952759; 755245887; 81582599; 39474638; 605073366; 430231552; 4537200; 133287322; 342412261; 819069700; 946843442; 769630791; 824921732; 942693538; 929994947; 709505547; 99946370; 280394621; 636055305; 83426434; 73386901; 43974340; 301229731; 348032866; 683283990; 792067975; 660035720; 301439973; 882417521; 263532712; 252582246; 415834826; 814869679; 444470364; 192660594; 200194773; 155917154; 614048777; 611072455; 510328931; 928285363; 155911966; 181789298; 835248707; 843602935; 111209509; 91012326; 229683503; 874416991; 994623076; 970498645; 82404829; 857781682; 279764694; 668911290; 741130356; 771839362; 410927327; 475595896; 412909510; 415407331; 131879523; 232845576; 784004936; 895206179; 428529337; 605485852; 98737270; 233281582; 741576458; 250221547; 893690403; 481079345; 674263597; 610176110; 446606868; 343164094; 780632186; 489557069; 202248000; 608914861; 210384338; 881333593; 820608649; 451193413; 988795643; 844576626; 198234264; 358468755; 436796374; 498152287; 255467900; 195734649; 954184502; 78596582; 18369038; 675796871; 457729788; 527331512; 340265355; 640161110; 213741627; 347376402; 851426855; 528827279; 425849713; 932705314; 977065711; 925446077; 748008011; 467472080; 291514379; 737341205; 610389146; 684435964; 820693111; 805908942; 892710075; 860163435; 663339260; 694001210; 354596550; 711023656; 386261855; 82972429; 174108457; 498352664; 102485967; 721835688; 704424385; 559135913; 483849819; 277956217; 191278523; 106466567; 143695536; 177164952; 315304036; 495156183; 138215018; 159543646; 960663106; 493036428; 379780158; 711547258; 156599965; 66294435; 778763249; 832138239; 483022276; 725965812; 743351035; 873347963; 562634883; 976641104; 383669663; 32339698; 784727473; 37742842; 660689000; 715929919; 399474929; 104312692; 813353169; 749138248; 285400362; 743295569; 498606573; 786916566; 295437818; 441338104; 947674071; 109442851; 405626092; 18345461; 56061814; 779214307; 486140549; 649668556; 4098618; 375331443; 172899058; 921789840; 24348643; 790324683; 263383076; 190155165; 390979112; 668922470; 183526475; 425830776; 249650602; 660949413; 329674226; 271581477; 368724504; 156218924; 768246373; 894281129; 818389753; 803078932; 63488081; 109713907; 540595626; 313142350; 217560277; 808537809; 956409480; 52070499; 594825299; 940581562; 217446044; 663847115; 142919138; 508143660; 629432383; 306190261; 554267278; 90312904; 762193559; 303827283; 482080459; 762736262; 519214376; 13009024; 663398399; 369416678; 288577945; 506003829; 672454760; 304269823; 603849592; 454130773; 890929387; 741085335; 410580120; 305084350; 244753041; 42711220; 7180416; 699907821; 126631605; 631008989; 497252930; 912400023; 285043421; 364097786; 909741435; 537788243; 625141971; 46705573; 509880524; 395860786; 291662337; 754546015; 702284439; 349096291; 164382881; 569660269; 330392023; 82898695; 921738751; 52697231; 301372899; 362059644; 97827412; 894383914; 854812602; 531556924; 895887297; 217497972; 347757694; 207613017; 45761566; 287340801; 656976937; 782474080; 217718072; 767168402; 125217402; 867480189; 502474358; 745404887; 312222704; 857847846; 626480596; 201816938; 91037811; 771020367; 271153286; 910336763; 717802864; 300075436; 92816318; 745890115; 32765160; 606166679; 933971761; 714994807; 227242726; 978364673; 975922931; 695243832; 872804502; 652947256; 585880832; 292584863; 195257712; 108132747; 396424928; 338151174; 140230878; 466974954; 638582661; 261435776; 734339394; 810738994; 45000950; 45307592; 901926567; 754377514; 896860320; 730316268; 415807449; 419263561; 38073310; 931794880; 231021484; 747950505; 28637925; 149658248; 44504199; 469290750; 452206199; 445931457; 678906679; 713681286; 468098897; 112475442; 39155998; 806968017; 576981052; 242279728; 807633665; 502239145; 369417052; 59447436; 544823193; 932016280; 318020529; 24749070; 724509429; 441323437; 145190319; 516268817; 925048926; 234575422; 888009392; 938944141; 590550581; 417878389; 272305549; 596720572; 395521184; 43028012; 240122162; 96683962; 424729184; 718756805; 3199235; 71333802; 2260850; 434482574; 692469904; 632674521; 215445342; 826830245; 392400827; 937920059; 671816256; 702556936; 905195859; 395085192; 975138548; 768604555; 243014118; 377155345; 217013998; 337803726; 351553252; 122578293; 189822324; 434298345; 945214574; 285777998; 692416920; 815933536; 303518868; 227537214; 85577558; 831528138; 970515065; 887628555; 151712495; 809708486; 842457630; 291881262; 638671516; 699902701; 727472306; 151606175; 770032454; 226963869; 458415542; 463517127; 369568533; 734316179; 891115443; 312898364; 129217343; 380255813; 695790256; 319627995; 806049511; 662099051; 466183258; 699991422; 405141323; 796070035; 349543269; 924321829; 620059119; 356657026; 968587533; 949762128; 818762840; 6337730; 972788532; 440447728; 187753349; 939005264; 899381828; 835587516; 853138994; 312120574; 645085673; 685620175; 512218446; 881241152; 943583188; 102073392; 210669929; 454192886; 546470127; 370061341; 623489716; 190356855; 414713596; 754664957; 205268792; 379961779; 788323627; 930202542; 67338965; 116156519; 922392616; 435853776; 447243127; 732688405; 822428704; 517631230; 529133453; 72395627; 760620745; 707719754; 838562303; 779656155; 906075480; 242779061; 444448208; 350000379; 485386296; 895807793; 563220969; 252416092; 523830907; 802784124; 739680610; 347218594; 520027605; 74656724; 575392727; 933534838; 981293874; 854708059; 180389356; 322974446; 669573715; 861156718; 462012091; 519456752; 147118465; 259546974; 748128945; 601184336; 463518309; 742007655; 272266179; 10667670; 282988511; 660415545; 817636130; 199180281; 62077546; 63663864; 346528765; 196749137; 831786705; 61192478; 58554971; 954367555; 747105718; 864316913; 847807520; 690616096; 580347474; 31288564; 162861713; 902201923; 319830556; 837629279; 909537135; 231080615; 791933549; 170394153; 810627676; 140600862; 975194198; 29913354; 191004549; 937110092; 446563737; 43630185; 38050114; 727844671; 723189475; 355664237; 853758097; 760708051; 217174157; 865927248; 441220085; 315691446; 654690387; 685062010; 443482590; 231756653; 115465725; 426955492; 734511978; 415049251; 201590340; 636530431; 252051877; 517528500; 29837650; 49783845; 121238094; 760011423; 295618020; 533822196; 103292796; 903714411; 106145255; 30367295; 1364772; 149273709; 538774480; 219400184; 237644840; 738187261; 987837103; 810873676; 849949322; 132557319; 838074879; 136929604; 263490973; 549700068; 540089613; 754181559; 875555594; 144183097; 980019417; 845657666; 300979606; 618766607; 98416556; 215958832; 118402300; 390606945; 269796657; 709330396; 429680974; 540503080; 212202315; 168278309; 492224747; 26553863; 395495556; 90167681; 841319733; 478550428; 24242652; 336549942; 208047428; 531085360; 30697369; 686982744; 757998699; 986923831; 699766215; 807483054; 141019169; 90368320; 234683498; 351464962; 939459187; 52856887; 858573721; 295763424; 151223445; 340693047; 683997022; 905644219; 762139432; 666885723; 183895807; 376828800; 584124808; 769312216; 724698119; 429038989; 90018145; 89098985; 746118195; 762461323; 669816796; 808929527; 821214703; 271671230; 163840837; 138354672; 980331144; 467927936; 198769649; 532486122; 49122062; 805533869; 106478519; 445992957; 555837008; 832519260; 751287523; 188174366; 235900164; 730436717; 354043538; 611759744; 457926378; 476021725; 808848434; 237722595; 511618308; 430785860; 245224980; 437741919; 614376753; 384953685; 709729527; 811122008; 505425023; 408164069; 753800608; 470906530; 851338320; 645504337; 599706892; 343713536; 132686920; 415065369; 740126906; 497194201; 549479651; 863266238; 203106604; 541960676; 725983545; 410464722; 895396356; 744558290; 438552731; 768176778; 841523385; 328735457; 631045672; 996711193; 282922097; 157547040; 160772732; 27950908; 839951487; 655769260; 307052633; 330023700; 362701812; 539310933; 605132407; 414288056; 666395258; 32623038; 135894179; 956840338; 129816640; 97400853; 639169803; 205282943; 557646660; 729148300; 306940629; 459876123; 744028783; 158410455; 957540698; 843177929; 160066314; 103031222; 797773137; 770923959; 794551091; 402319613; 131232606; 275298909; 818545054; 644228326; 629899279; 535409524; 300910105; 188447951; 73496615; 312009879; 47765845; 958621762; 734392011; 188304467; 183341252; 577659863; 696826295; 357402089; 228770942; 536625337; 624338675; 863372747; 749915500; 964970660; 827542431; 219439383; 142986799; 269744924; 252843828; 952376114; 17855101; 14540396; 620995798; 206599715; 484202845; 514309373; 860197007; 209769738; 404520364; 89149500; 318770122; 831859011; 319625507; 907709834; 929304466; 172289047; 933000907; 48088197; 295190770; 151750399; 698442032; 54179648; 907425796; 629912977; 764963258; 402963478; 125723896; 320669803; 308212996; 98806838; 183768739; 850529323; 912065397; 833576654; 609702843; 482255166; 703250283; 867825057; 598425463; 677346492; 124961507; 565848670; 445337482; 770393256; 931579153; 11610833; 467405358; 414485199; 876448045; 897080713; 771216500; 920775009; 819484460; 955077101; 694091063; 210805042; 729813229; 317290635; 562162239; 275812975; 957532434; 88348850; 300391336; 778587056; 68681967; 263627047; 194029181; 957921776; 376032848; 165222388; 673472835; 925358023; 783151335; 469760361; 741455933; 78073347; 331001193; 166190253; 239505676; 540621646; 780685540; 661411823; 62429992; 321639543; 941227315; 838225736; 308686485; 194115382; 492979850; 440127445; 268848647; 685371525; 350174059; 569350211; 147073260; 475617558; 577885054; 746703285; 606107851; 468736170; 345594965; 334166237; 721121062; 180308884; 168254578; 85490032; 586891010; 245153679; 501848714; 355485128; 129706123; 966700628; 755289411; 477792573; 51883673; 424960540; 910889461; 9695931; 989026658; 13759332; 398503737; 145731744; 356830852; 288727112; 106591525; 544777651; 830974685; 958081454; 92846971; 307716505; 1122365; 506198036; 222702619; 848566638; 704315534; 998119593; 375340888; 339529846; 469598872; 950299856; 297638170; 810432399; 396501749; 762651007; 251975889; 840855859; 602269450; 406064833; 258437677; 299089393; 98992356; 800427056; 113362473; 269931961; 87130824; 271746729; 43141142; 489233675; 462961641; 848803761; 431772135; 192484789; 289752689; 67362721; 464363464; 557660852; 50823445; 891575924; 546325975; 735431282; 390508346; 500717824; 839723784; 636085180; 427197642; 154411479; 875470076; 931215830; 63994856; 16899506; 997012016; 232689928; 897179920; 513793771; 311425315; 887003569; 679187508; 464242903; 52119742; 852496977; 102997921; 21956903; 811297887; 845808774; 835970030; 929595715; 625691394; 739437142; 901567416; 580172705; 35910292; 443428090; 66937583; 141754336; 387760784; 125820298; 762487296; 851797159; 268636259; 190732944; 152837131; 824281655; 883186091; 518705697; 40895700; 346123043; 225327740; 382318548; 507661992; 46307416; 210032917; 226375511; 318140275; 392574064; 200838021; 273466996; 109160709; 37303990; 19170283; 804642947; 34224680; 842518778; 379185682; 974288172; 522391639; 933345877; 742200908; 817227156; 680735934; 261457825; 72340153; 998228265; 440471203; 302386338; 606448452; 797470722; 138163875; 925201326; 267177551; 229744423; 812099836; 989741941; 171814608; 580356940; 537711440; 659448335; 927897073; 958512978; 201236064; 147553147; 77022046; 326823972; 829529292; 944457989; 717636033; 455738859; 380750578; 581606584; 390344570; 147964209; 336930463; 232195618; 696704609; 586970284; 445591096; 232615249; 670650903; 652245077; 919744701; 94779404; 408657952; 677980170; 450611637; 708318360; 951896001; 791125802; 190241256; 594946089; 573411353; 28281389; 891573419; 499017337; 779769593; 143818247; 210535452; 46597977; 75081417; 238287161; 764954573; 608978862; 866644590; 693742498; 880760441; 279565411; 301143691; 77417693; 827002622; 663146963; 346542562; 305129228; 842674699; 968860650; 569364830; 842324123; 672564954; 248526309; 235883487; 494366532; 736548032; 609558639; 183669090; 420768787; 517101427; 491494086; 862168791; 917819711; 95976372; 354177508; 267773922; 764338908; 614699510; 149336788; 845697621; 176409562; 621121373; 607335077; 395908920; 765421529; 310200836; 668501080; 945690112; 832374729; 950134304; 315767630; 137846269; 229036203; 571093119; 882236442; 417892739; 207182376; 348345362; 125791757; 347900298; 219511455; 649456346; 383288225; 581730659; 833016385; 667137693; 887539256; 558607846; 568329572; 467837252; 637772766; 70959129; 857560501; 475377314; 504640992; 765168677; 315428815; 812297758; 530935670; 583651825; 104216283; 304840761; 699441770; 453046142; 561839844; 690160073; 857750195; 493196532; 883742649; 683942490; 683977010; 131618398; 357117004; 106480792; 77372076; 326919194; 549861423; 834618987; 905821494; 353637235; 518163439; 187349396; 907580690; 402278904; 298189980; 93522494; 375607004; 186778280; 817451454; 61469590; 218089315; 221933657; 625433088; 103228171; 79394522; 203543741; 149899246; 678978840; 931771201; 720204355; 147526291; 870538013; 623792465; 908449376; 410412112; 389430817; 506263684; 544015517; 592988747; 305887041; 585706960; 15375188; 808478634; 430780510; 50020144; 654673863; 225516586; 238308610; 521417147; 24132553; 51477345; 878332896; 531133291; 419675209; 938460383; 697449252; 484488907; 771916424; 172638034; 86248041; 952090243; 7331047; 240898572; 355486707; 579380063; 327393828; 21649059; 840250798; 160490193; 9534382; 176724635; 220038298; 716012288; 360771567; 258603305; 453681382; 202258182; 751217713; 861587917; 878714956; 967653405; 385456855; 319205917; 130179888; 183291346; 188871693; 794921068; 177896855; 910931488; 233122524; 57036327; 919308611; 831518991; 70800999; 674140457; 454005360; 839196108; 348756059; 77410248; 144781812; 496822173; 742340833; 410547755; 432295600; 340696016; 383137870; 656652402; 366479878; 593777147; 799262747; 165752850; 373680804; 134879441; 909195480; 481487733; 870628466; 136289853; 622086716; 593855566; 44947374; 745125257; 701563402; 810394404; 191315688; 872059089; 9727702; 11357346; 654960664; 342918908; 144119586; 958133617; 847678102; 899058957; 908101698; 128144042; 790019702; 649700441; 898836906; 832403948; 264982871; 150473044; 165141087; 735105803; 525359968; 422953172; 231666363; 636695002; 616901869; 886705447; 828547271; 90687584; 992927470; 996542641; 225889349; 222587693; 698307677; 26140986; 784250216; 267233503; 60936214; 410743698; 449066409; 903325856; 322827976; 792800245; 881096689; 918297828; 542550835; 698614673; 451396308; 368997572; 979158492; 589721370; 440079381; 939945862; 293388177; 476175676; 989150567; 543950449; 769356492; 121842361; 538697859; 995490307; 427815317; 626509600; 275806743; 434144640; 262728736; 32190587; 854499567; 472762127; 963005240; 914738084; 287317604; 573638192; 421131499; 381157205; 230431737; 275458860; 150187491; 204953565; 304577882; 631267136; 187877068; 945933055; 477662364; 134988972; 907446580; 592200622; 311569364; 357738776; 998623491; 983082280; 968903061; 611072664; 205347207; 580654246; 835532914; 589687497; 909449096; 20935542; 457217198; 491698089; 202644816; 81077389; 846973073; 273357079; 207721218; 257001127; 958703733; 106043656; 538495542; 511145655; 962692982; 352127529; 93580435; 692376431; 668737940; 183941612; 49837630; 731315857; 197168843; 352144845; 506513021; 503970341; 224321945; 46322820; 963806490; 536977711; 612105759; 537965413; 38847259; 113237891; 512058976; 547417325; 743719640; 929095934; 131732406; 847518246; 937086742; 973674223; 601243405; 810918792; 813304598; 739884018; 49147964; 54945803; 125374840; 583267566; 764334094; 962367191; 708121561; 916580948; 247330993; 640680661; 94566748; 96817957; 233780747; 410653224; 864494569; 364301213; 83012652; 517205672; 426144724; 212009812; 718984621; 573491999; 864288807; 774435881; 418043501; 287830170; 122813150; 399080832; 561893134; 810433325; 624437637; 43683655; 920990410; 761588457; 5929915; 501999378; 837240346; 116915600; 470698717; 885786007; 749873332; 696670459; 197112293; 704696980; 428337317; 688353983; 181536967; 924343916; 18148356; 974079903; 981877249; 143865689; 254451039; 905101152; 743353007; 662270743; 54184521; 71484722; 686192837; 400502772; 431527031; 647327973; 903585676; 752160660; 303737394; 545602734; 978829849; 243036636; 921334221; 982753833; 452962424; 793957994; 130125913; 553293190; 114555372; 624677572; 810816862; 198197982; 474192133; 798324399; 237709423; 349588652; 279645383; 913382256; 71293937; 440776795; 992449482; 681254016; 247035043; 621853349; 237982138; 370190824; 565326974; 816124993; 991280932; 247745035; 389207750; 973675204; 142201632; 596953568; 409235322; 786971959; 567248154; 797398862; 748126685; 492029607; 869849088; 103832552; 982925401; 388236036; 700802252; 462722249; 295764793; 432156440; 87252336; 978404917; 279644149; 52128006; 233727008; 116818673; 21323443; 335148942; 340493116; 755880468; 236384079; 363304394; 159830449; 458480617; 483437198; 795262405; 261379825; 321947057; 659316571; 924108959; 207112692; 580339413; 685070536; 904497780; 817661563; 942928916; 518970302; 610943286; 388326967; 248039767; 606645385; 405797780; 218260718; 569245356; 838890325; 862448791; 420055193; 889929622; 312556153; 715530133; 157093240; 211748696; 870394365; 278754193; 57780127; 867919930; 725175898; 446198986; 482739813; 224731710; 326021778; 712239752; 874418387; 819849946; 349634452; 371363868; 15068087; 292631152; 46655874; 884191712; 808233795; 882686212; 880101290; 948485162; 436484433; 344867116; 919340761; 45964043; 494048203; 242916101; 898185085; 990289696; 895636314; 335728325; 639764796; 178451461; 387738245; 939112765; 405638860; 260160649; 334422926; 787792314; 734060715; 716446050; 387822203; 352728343; 707267841; 472565511; 646748158; 408502436; 402524172; 909809065; 337739192; 149433203; 629518512; 364350079; 906067810; 301316119; 22519887; 609076862; 329318412; 222903723; 192319192; 561612654; 657010639; 872713229; 259792888; 368383239; 469139659; 770838847; 527292355; 546492521; 249814918; 412359095; 418304604; 145124018; 184897588; 759362067; 424173623; 803811158; 438884343; 793227300; 911562664; 128773676; 88075407; 256080858; 337733147; 405375826; 952302343; 465453117; 637453413; 59522115; 953710956; 178223073; 509201999; 384796276; 340827312; 724033228; 648398647; 764749989; 7691524; 268883614; 726200738; 790363458; 163234576; 980932739; 485347221; 9501766; 884406147; 679921443; 246739651; 864324046; 601842621; 612545934; 744645769; 668811877; 687625126; 306131768; 649445217; 121694244; 466249364; 564974407; 865997; 638040307; 559768020; 306105440; 291987153; 978801326; 342907459; 372230598; 348626476; 294771142; 89609539; 410134279; 236854449; 384997951; 157190076; 54676408; 543322515; 379564305; 206424112; 218880549; 657175320; 90879541; 631032936; 868144783; 415867004; 577701991; 897638201; 861996781; 424167318; 246924552; 269515001; 339967367; 817477559; 195962604; 61088570; 459617793; 555383826; 161591582; 914620268; 719753943; 299952796; 721756184; 663735613; 767545275; 497076058; 995891990; 940544546; 642951002; 19187792; 539846558; 747738362; 304318150; 109603633; 328643822; 6334334; 454304234; 620333433; 958482083; 829335015; 543987775; 942221641; 65395104; 809243864; 32171646; 848375333; 52937571; 561600628; 713140960; 104705326; 840947407; 77380374; 421187709; 257725900; 630497594; 109155437; 13496256; 7027641; 847261075; 469542354; 482691327; 541271750; 643965167; 212614188; 740096501; 724492318; 951706084; 255081134; 997385736; 170225504; 195701050; 826798081; 897334106; 924983957; 531672707; 500622748; 193127076; 923378497; 489452936; 190324202; 885820526; 123951688; 572354792; 230851608; 454458933; 103945799; 19742192; 225004856; 754154749; 668052526; 447030515; 458330384; 204481567; 742389942; 475271841; 799303958; 967803038; 123797891; 937499720; 598346441; 934679920; 492158691; 560166987; 484065126; 251261078; 861848615; 927437178; 58879008; 365326610; 239587810; 969217903; 208273084; 889677732; 327784389; 476776332; 743915838; 893909537; 579898947; 436375113; 163303483; 351473046; 858210984; 975315604; 918199619; 322451666; 401522381; 328592514; 569206933; 681160030; 517443431; 647701337; 126973372; 365607183; 275640930; 603949359; 272137161; 137510109; 134932725; 729714695; 303929323; 714754886; 797200648; 773618260; 749945903; 346065709; 916592688; 848750809; 858966919; 746524649; 220689568; 379391878; 209067542; 586271650; 646667800; 674592007; 164279989; 925683817; 664992378; 587397964; 556434936; 984841000; 950674472; 817766443; 127469420; 170271031; 445905382; 24857217; 58497020; 858941753; 21622432; 739312450; 866449283; 696756995; 957443137; 359831477; 39971710; 276757105; 721984151; 805619895; 692758397; 703520476; 502005674; 830858704; 568269083; 240705675; 26528451; 562047714; 762514850; 224407111; 625974702; 57551794; 851179568; 442769118; 828423142; 126792011; 65476375; 737862463; 452679994; 804524025; 97871468; 772627534; 143168647; 681467550; 753035439; 178165489; 37360048; 141895120; 69731650; 387557439; 953699554; 365006433; 4503937; 117605657; 128785937; 764486238; 373121517; 366856764; 266018339; 12016910; 57727480; 949875823; 60109248; 937049558; 356253387; 655275280; 148809862; 770690965; 599682049; 959473274; 640470859; 96853455; 343031827; 938464324; 184510900; 396137157; 85852136; 818576117; 18251312; 745146817; 797642866; 959556096; 64472827; 295270067; 400169634; 610269567; 935059624; 178623337; 788406711; 779053261; 887261374; 842013365; 167741105; 186406966; 315749591; 666111826; 788478927; 544039460; 271477857; 780662713; 155344262; 758375995; 699862908; 581282717; 147218367; 716305014; 959760997; 926389988; 929140846; 392260406; 68564114; 15825844; 551604500; 264952869; 776423136; 727025160; 75302401; 298275570; 725561276; 111046068; 158784883; 455990605; 832648632; 192202949; 828447853; 126706611; 218106264; 872605949; 981107668; 788355609; 781408364; 215710836; 931500942; 777902065; 944123306; 761466686; 769152492; 625340031; 352697681; 146353908; 779967552; 555346655; 501672712; 700310870; 888767711; 304734439; 978808424; 839072937; 413472761; 821354395; 433881588; 557823424; 466618555; 628216666; 505991582; 304676025; 778786881; 606553737; 435243067; 230748972; 975558835; 274478523; 273993377; 381162478; 906447076; 874876543; 449969735; 975508495; 221438406; 678510554; 457659814; 348078205; 961096661; 386484980; 661822316; 849950842; 92610978; 988451749; 119981822; 442173268; 107755934; 664577333; 315719330; 584239568; 712964785; 100526588; 702342986; 536630276; 485135363; 426830120; 618965641; 243833435; 903227304; 680776349; 660440213; 592199426; 161167338; 882776716; 877711831; 217127295; 431054338; 322253183; 542353710; 788729975; 259116528; 414216552; 67096084; 803873586; 102400143; 844823147; 894421320; 514914512; 750703452; 355734805; 849089321; 206337560; 285208440; 980480103; 29617520; 720066038; 381188055; 494950789; 921521495; 773068380; 750932270; 260692880; 700345056; 621474986; 782054060; 218288008; 461612318; 406649063; 747050581; 183844806; 324438875; 487052918; 353976719; 532415919; 442308979; 623743307; 867511372; 114428454; 249870323; 978869848; 734637023; 821028611; 953570227; 403176789; 660798578; 659155050; 23398762; 458817254; 778699758; 533556307; 784276353; 104105705; 101949013; 62024764; 144794709; 57260185; 135650117; 306616028; 502850188; 920929728; 129182216; 531306083; 66315988; 508927804; 618669674; 995812656; 174302636; 44606659; 564933554; 712279812; 870487766; 468889845; 477207091; 374364754; 917457041; 193305922; 482477177; 460046275; 958480065; 924161715; 53591722; 686803660; 592435648; 334938437; 848928216; 860114560; 895465398; 388239620; 424655699; 405496470; 848272851; 59905340; 199838852; 306193026; 919210633; 43961359; 611583473; 885169439; 88403258; 650286809; 307424617; 286341211; 195467346; 696715099; 341904601; 936452287; 256546332; 621395517; 617004720; 156668623; 180086627; 617438043; 975296934; 203993633; 447743213; 954330356; 675295980; 151960512; 213292344; 862418574; 338012598; 499325895; 312526834; 128071257; 821086891; 840542934; 418114893; 385213295; 622400142; 506309419; 959054169; 941816955; 621327568; 225500220; 637699723; 191162819; 668110916; 820889868; 732556544; 159051300; 136828892; 112537982; 1049591; 226275921; 569103682; 631937958; 221578466; 792940384; 511107925; 94485838; 595070749; 4051397; 600148491; 974500342; 217343604; 742708990; 21287671; 718505937; 186820208; 844995109; 347071681; 967262711; 962649898; 880825407; 414576718; 402377796; 785932603; 871309443; 954355569; 984224236; 620816823; 60617627; 309980989; 466180849; 784383663; 824074745; 433464929; 762322753; 132380813; 293653208; 779334338; 380711669; 736277422; 520751184; 778899273; 435323494; 374886812; 802486854; 537043093; 198905466; 21874450; 299538696; 884026010; 730893542; 549421630; 911845655; 21152504; 668061596; 98145981; 456789519; 537043877; 384027312; 669336959; 155717032; 520203384; 811119976; 185775413; 707556582; 799094231; 79431578; 974708331; 260917224; 743201808; 574780871; 5437542; 237597653; 276254756; 289631444; 371812601; 103331403; 803140243; 381018792; 607726771; 224139194; 731267007; 637708238; 497652408; 658315640; 51634200; 130593890; 664242238; 602060321; 630844718; 353864997; 579353069; 100958297; 677081430; 279274768; 273432432; 778443025; 604093941; 241580638; 123730917; 464271532; 181067248; 604121535; 22599994; 754842329; 931573915; 218416559; 803372107; 859774763; 193105272; 764926510; 185821439; 891598028; 268046324; 875369656; 776429459; 613845821; 537186713; 724752047; 314656705; 493388312; 8905743; 602833968; 317692811; 747473099; 955896338; 294146083; 403868251; 915107609; 973038955; 362418666; 415354546; 815690291; 880179391; 186539843; 459769167; 247473741; 610701359; 831437228; 301347713; 191768750; 110338729; 909369128; 755811465; 264836516; 161390554; 667072699; 25813167; 94636033; 153191439; 138894764; 290790843; 944438890; 178643569; 733867365; 722419305; 540404350; 625423067; 220047260; 597117590; 210317285; 218923363; 596091985; 495879607; 838793463; 931495532; 150388087; 80243195; 567796458; 233306825; 836982172; 390360891; 509155105; 189817312; 648698670; 107729866; 688106166; 177214180; 816403263; 289510864; 483807502; 797552663; 615971149; 849654771; 366485819; 116456478; 558071273; 288813945; 276976725; 386736390; 606527089; 164856560; 632808075; 188015630; 464508152; 332711203; 887227350; 18839165; 535439306; 251897815; 989127341; 511527393; 666874554; 528822371; 923493584; 812481270; 888467761; 349320130; 641253874; 225338867; 669170361; 101434501; 835231909; 542424022; 582407262; 24999951; 649075563; 774735650; 398377246; 12444859; 254060160; 248832777; 799973175; 880318784; 121940336; 899314435; 996693628; 344609321; 450585720; 334158157; 914454248; 553638021; 175336613; 169342321; 406594046; 754739644; 719640390; 686926181; 12653286; 443331116; 951328723; 682068013; 344763484; 91563703; 132505775; 588088306; 39910723; 642605663; 336668320; 671166180; 194126121; 545792429; 427178670; 113603170; 788452941; 846221591; 366830206; 823282557; 416713030; 794552248; 655075304; 762714669; 664025349; 648690244; 447010650; 480311427; 814404251; 551314622; 652970459; 160818817; 602778793; 810757979; 981892289; 585355713; 291223659; 512020549; 783357923; 997942154; 428297153; 719113687; 354020740; 799818940; 711319465; 769221102; 333389329; 988537082; 535653376; 692061719; 916965284; 926271918; 455134176; 346554337; 150825737; 642110139; 813968234; 990079920; 309972914; 525666570; 597789529; 555873158; 361477517; 84750527; 53958534; 97004562; 129194641; 407863504; 421317610; 882816221; 311060780; 377498439; 528887312; 154987413; 728801668; 879930164; 152261073; 696851005; 797224722; 485830967; 206899034; 11096761; 544671870; 679066320; 728305965; 897208518; 61373589; 687793406; 342303329; 505587565; 465939166; 364388972; 994693045; 348979502; 317656066; 441605598; 691909307; 555700080; 589685958; 613943657; 121529867; 460592831; 773356650; 934048964; 448827760; 60533702; 424619305; 863919174; 566484608; 284281721; 516926078; 156977383; 612086608; 326466502; 861994200; 197325612; 307643621; 672737134; 721959868; 986586649; 51345927; 13845429; 813200704; 283897605; 641764882; 74808605; 636557748; 132251089; 999452299; 693022041; 828291602; 165397557; 643720680; 196265477; 710651969; 578424128; 705982219; 775725723; 113934936; 448194891; 317404991; 902347115; 355602135; 441996159; 117784421; 608223092; 42907799; 583903579; 98987109; 196196859; 688686805; 203778743; 617713405; 416882988; 690269196; 863160343; 489851548; 572206025; 751735062; 642024234; 831564942; 849060480; 143571670; 182367099; 686044101; 250974424; 997578209; 49936750; 701899265; 748501921; 663697102; 424516478; 253173287; 380219773; 874829943; 328857099; 8285295; 645860944; 601054489; 535816651; 490966589; 837717487; 739348292; 780090507; 741211562; 838968349; 490779681; 213074648; 534309005; 602571237; 680364669; 74048724; 652852467; 156110737; 396305226; 120520332; 573322189; 553152379; 460866485; 997855802; 915198829; 906335111; 972661162; 606172666; 103219447; 193012432; 566448223; 705351327; 579582611; 279387768; 956908241; 548837386; 960540956; 457195820; 61880891; 129822773; 890541033; 729212946; 40754628; 498962213; 518054458; 187940764; 974939618; 40003675; 379003324; 669598291; 828413076; 735721619; 68303580; 161112975; 962782957; 805641333; 761336413; 597615160; 246918620; 672546122; 541026720; 300682168; 282160339; 504023092; 819141190; 803916780; 185897413; 234570134; 586760222; 973680801; 891627255; 977399625; 701474008; 80010761; 223723702; 276498347; 427904166; 384264781; 435998967; 429361665; 189364543; 105078895; 968728656; 222634353; 568562898; 548943639; 780498355; 717133325; 415809469; 100938973; 362222048; 57846075; 343860192; 929811642; 715435242; 867758175; 317219671; 963108024; 930237044; 722607469; 646486903; 623859000; 923185547; 610007757; 237695957; 568169033; 686443366; 331100054; 482667617; 902446397; 471781358; 420369246; 63074917; 803586196; 276458524; 96401471; 613183697; 75405555; 816679253; 34033402; 823839212; 431906199; 976388635; 732890855; 984399007; 917231263; 870395574; 310782198; 31255985; 568809609; 659279120; 992192259; 570259363; 821312516; 446391583; 765023793; 440540219; 614113763; 797605388; 955129382; 771128241; 251331255; 459215269; 571153529; 845407564; 668809571; 391894495; 939989868; 794605374; 298588192; 342844815; 136471262; 611057424; 10567368; 853074887; 661334513; 361997341; 76642646; 326278249; 424623068; 310946525; 872621620; 345678837; 840443269; 251072177; 998820581; 74761154; 376172352; 165438335; 205372471; 947599248; 594933599; 323892786; 110732312; 934107551; 755117712; 684497106; 332373521; 966460779; 959572111; 376923176; 168339182; 157030501; 692569008; 356101832; 444559752; 701815442; 999471023; 83565487; 552090671; 231321574; 973431675; 106109794; 389400557; 978698842; 575607457; 333737342; 518132327; 421729486; 489038833; 800984012; 851467040; 289850681; 2682046; 768423857; 879851517; 378041509; 327844750; 371449108; 182527083; 535692937; 170519470; 213085981; 438011762; 146947965; 832195994; 757421902; 294421857; 146126972; 665235827; 332067741; 608291245; 71328629; 104646507; 908591538; 240888983; 449158073; 721236605; 213422194; 264741975; 12517408; 742671332; 45335208; 152731904; 541058897; 309049783; 31396934; 308027326; 446545631; 287434876; 894977433; 879788724; 134719042; 924012622; 183152278; 479093175; 142163347; 697879092; 226906144; 893587031; 182236184; 691837785; 646137529; 585729178; 655647302; 217892129; 372930950; 978137315; 34075700; 899703080; 388196861; 315124381; 326639639; 876783181; 736765908; 934713990; 56939417; 723242578; 664513107; 167427437; 715163748; 510395040; 363679724; 326906178; 403370801; 644422044; 796901191; 446619533; 891551502; 355243781; 639385994; 593289507; 216185604; 951084061; 845477582; 221726010; 542406670; 484382801; 352547884; 369977233; 978332185; 67723407; 181749415; 715553377; 369563763; 364179984; 62953923; 149875435; 729696288; 461254477; 142360306; 995619786; 128180158; 45633921; 711421157; 12087500; 38438450; 953855183; 269043835; 989531959; 197820113; 581648986; 580094700; 279163473; 20699517; 319853982; 170047027; 766433520; 600661870; 342345627; 555334845; 907320281; 612455656; 222629662; 324093245; 793628597; 401682571; 452110779; 839989854; 925348758; 612137187; 907251748; 945027389; 457695133; 698431960; 454882839; 920749327; 121987979; 145731689; 742812067; 901273200; 377318696; 445308584; 654769159; 971819270; 950650498; 841968317; 198460939; 907641004; 118688991; 663503198; 336998394; 906547676; 927912941; 104319635; 322877796; 701957861; 285566221; 296144828; 205096694; 769888362; 666307110; 821293422; 111440834; 572393343; 697502000; 49292291; 56557194; 421528945; 23557997; 790716518; 862547671; 12061898; 935935100; 165797170; 529281400; 389258416; 924981975; 134850389; 264415526; 780895323; 380762735; 414566725; 120808470; 250028124; 878314481; 280482046; 604790169; 35510675; 215776754; 87741477; 187611631; 531541918; 190986471; 244058796; 531056196; 931320782; 5046418; 435237574; 198775258; 493050179; 255357929; 8254578; 586374550; 64450647; 798861546; 30605413; 961788412; 452796185; 438925542; 797651112; 517067610; 375573359; 903626820; 332024983; 598418413; 721557877; 134648850; 142294315; 409380821; 71077676; 687771565; 238727977; 205906346; 251878111; 693286740; 477311361; 642216487; 204328101; 378809136; 135698332; 501293958; 999858669; 756195399; 951795192; 659802489; 573216290; 154277792; 378515086; 45234371; 986077772; 928260284; 286327693; 247705055; 972436019; 933803126; 225839632; 672394262; 59244389; 538566909; 342152601; 360604800; 244575393; 309412647; 58016929; 155510656; 904633120; 885103746; 636008381; 682853015; 131878307; 574863962; 381327427; 783937115; 3073240; 753915855; 120174123; 11183460; 448523721; 223318412; 696229110; 391337329; 879133223; 886459375; 43334606; 603398800; 169378545; 321119632; 563650026; 359960607; 478190633; 967812347; 670734819; 965697399; 322269337; 935879025; 309937574; 835476159; 140304554; 508818759; 235889315; 290880868; 424595930; 669385053; 606199577; 946151756; 486633141; 542869934; 194733517; 678230302; 590327166; 180338630; 967753599; 364867250; 653265840; 626306663; 653821258; 790569169; 370028191; 58053464; 623810120; 310582804; 812919829; 340760981; 929809532; 156593119; 775965862; 450304838; 940328811; 540297388; 566030216; 875008671; 424442756; 366130564; 215030325; 781192051; 470671711; 341480079; 832986314; 271651497; 971387220; 223225512; 109541483; 98779104; 750713318; 92378757; 6859113; 182333567; 611641187; 606452042; 649260738; 857763970; 670092824; 114256277; 397999546; 270182640; 696925856; 627795690; 612858430; 382057972; 141019923; 221673621; 943511467; 897913880; 799902534; 853670517; 276015049; 941057534; 323786935; 565205033; 73897872; 690051821; 272795635; 181133081; 761146177; 998152620; 894449856; 55662529; 680673704; 418409816; 282446005; 320970167; 828432036; 544727516; 656296779; 897085684; 415644642; 410794140; 683325877; 348548182; 606019032; 214287859; 956395855; 779859894; 950888846; 446009650; 578512862; 772122554; 155458250; 48323652; 48904626; 300741321; 941615327; 816132500; 97988138; 386453479; 971074259; 34129137; 74856043; 556175303; 183767995; 953938141; 140218999; 773623377; 705437697; 553277748; 304511793; 464777142; 307453946; 965946081; 628458057; 444393825; 83204046; 554215230; 495225563; 673740304; 343313388; 822283656; 382551260; 842139987; 154741685; 998692997; 431490745; 666332010; 70840739; 344435595; 503814180; 361648899; 69673624; 396106029; 919287027; 237443506; 129028322; 649632673; 643091982; 863778016; 714495174; 294974369; 369205787; 774236615; 959847610; 313259742; 328775789; 83149703; 677475830; 48346173; 303705428; 428390714; 852899250; 181280105; 275088947; 364313094; 170219768; 985825791; 609582807; 836674014; 331615886; 608846876; 487840278; 332385535; 982096843; 833680889; 167818654; 149659478; 395058685; 720131343; 891595156; 181078893; 710531531; 528985133; 541603490; 295430049; 793269684; 435422980; 192649970; 389608300; 332764541; 670598120; 375747337; 919545420; 120339623; 857125658; 366371305; 488435609; 745524541; 500710969; 372503141; 555409562; 416611128; 824166430; 5366239; 812407106; 389726338; 132835448; 657796922; 487766040; 301891684; 674541748; 907499268; 20493847; 512509414; 434051534; 97328622; 648713540; 748361958; 312096046; 460977171; 520157474; 823534440; 118902406; 352196258; 545719025; 685397487; 611547958; 579246881; 623986621; 801137817; 514798694; 870554525; 765031680; 887626602; 830417326; 327602502; 375943900; 391392680; 97070941; 924099829; 856027264; 466058750; 242723160; 958977794; 772178302; 578882834; 537868354; 11175285; 265160163; 216901078; 864082709; 411321312; 175156176; 916917424; 658900903; 983235257; 34835407; 636893629; 280803227; 721419129; 272461144; 302856333; 403501096; 288669606; 166571990; 916131185; 46162351; 430006993; 114653498; 288799765; 899578561; 275549129; 569652145; 324701836; 1875303; 482716120; 610301647; 627794615; 487597851; 717844277; 697810555; 788719125; 116402961; 738975643; 973484900; 536322670; 557256334; 908277164; 685673762; 906592163; 218820863; 826513311; 274694662; 315775122; 61354141; 35465867; 889797638; 750329664; 247359149; 532503412; 502564790; 350479125; 896668487; 414950330; 66456487; 911033631; 260714817; 181897186; 202561872; 659860146; 852560796; 214582526; 368642735; 298786189; 238348637; 114491395; 199581978; 919899234; 717936090; 357843640; 42839688; 616869572; 761002970; 249999570; 889837565; 41815749; 65547404; 866345401; 432242203; 387014628; 497578246; 224908865; 181826966; 995061775; 620398167; 560954585; 51454265; 415167881; 708656130; 787798616; 98440804; 8858604; 357618466; 79457452; 111361879; 970301626; 216452259; 629158998; 671704115; 171998451; 16400126; 182899640; 800823797; 126179484; 945175625; 752939346; 486262078; 579207771; 60233303; 934324250; 477164241; 704773734; 968726247; 231838489; 199168586; 371867382; 415458101; 950943820; 410206779; 407288493; 582075807; 721761189; 830502828; 399803303; 955096460; 152924116; 20220866; 161722301; 388201078; 411807067; 859342636; 987323727; 53031590; 805034595; 330356368; 575723296; 536743629; 543626306; 521729886; 206765919; 785991466; 580096849; 521515133; 434562047; 556307588; 939322682; 817297046; 794833872; 384556647; 4313793; 458235044; 455404722; 925745644; 628283037; 662188194; 507617991; 774944185; 828570107; 529834394; 42713807; 69430001; 716764644; 230940883; 236469759; 666626314; 664376059; 699738623; 547776724; 489613746; 974181104; 774946431; 682416961; 265235444; 797621309; 877510381; 772980288; 821331446; 669985597; 227736732; 707456213; 387789135; 921484511; 851853396; 192041143; 161882318; 303050777; 784432021; 322640723; 939681766; 429009550; 955890862; 468996983; 41882248; 897001964; 618987720; 918771425; 437932275; 959996704; 171013700; 543958350; 768017712; 648073123; 426704184; 292680221; 657338124; 53855757; 732369515; 823824844; 936723658; 243365791; 734170736; 268921794; 238745686; 718077499; 340336555; 193048826; 939051858; 401680815; 776495511; 37811560; 161162867; 71891779; 932714216; 484671645; 125311421; 366648980; 967835435; 594226713; 452726897; 397078953; 459942300; 645922101; 370982862; 178327433; 740961494; 247235985; 489273009; 640398526; 448972260; 300308494; 92979829; 730202887; 715176701; 442607006; 976015976; 21512421; 936079806; 557395777; 213111955; 154457733; 343863899; 369675646; 560377946; 821362058; 198441120; 34506; 219156442; 834328434; 413242828; 133264799; 782538136; 528807922; 262796359; 243445268; 752862591; 913668985; 723762954; 782149407; 105155413; 547863054; 597081252; 117111390; 48996982; 381258190; 240176444; 870447696; 71297629; 80494637; 337682441; 299450100; 641691928; 855818562; 580974128; 692534427; 258924276; 121369905; 645227762; 412094442; 652612758; 5609803; 683296288; 9128385; 228792651; 955482721; 732616446; 26817283; 578985578; 94866638; 634428239; 865265271; 934888072; 41188567; 889006559; 408000921; 130754530; 665767456; 99602089; 19951446; 615721558; 518219227; 628630694; 556925096; 903825149; 32830901; 295429912; 164155610; 85515511; 329495171; 653717766; 867037956; 868811889; 503736078; 143056487; 815541232; 580572643; 851302550; 167949182; 706801509; 978664598; 974272189; 59904777; 192789922; 222206199; 22694988; 224897925; 808194159; 597868072; 978640002; 153235535; 433571529; 919356097; 217312416; 797795321; 846811650; 291409879; 247848910; 824317636; 559318742; 841447317; 211146269; 969170505; 868378846; 774870779; 745335720; 464643032; 819072204; 605020134; 151522012; 18157212; 602221834; 981629953; 856875383; 902025912; 893420676; 774686948; 20074112; 996679551; 756325216; 266057955; 35550994; 413361283; 868158324; 516666393; 638902791; 574967182; 497235205; 607280129; 559452937; 484464601; 753525929; 195090415; 860429825; 760935235; 279313873; 98758199; 184961688; 966458707; 786786025; 638471228; 255114608; 401817915; 677990793; 38968704; 576806925; 717117419; 714212758; 625281086; 994805658; 362286692; 545667352; 897088601; 281752189; 700771217; 190549203; 7709977; 364917112; 61467411; 508754408; 665606228; 734674823; 459278667; 41869865; 536351162; 126761771; 640637941; 790410062; 132693434; 559226521; 355658466; 383098232; 648955790; 210894114; 221663872; 204857886; 519399668; 574824314; 748532394; 933844992; 628084076; 82310208; 166091775; 876796838; 796421679; 267193022; 338431147; 502521184; 685215617; 981566971; 131052398; 752685943; 12151326; 91367253; 282218295; 886922080; 642362925; 482556015; 588730177; 638788591; 126886894; 51055613; 916571218; 997565145; 171128135; 22776854; 855461297; 425920701; 488000072; 697492469; 157943966; 150884971; 625030658; 282464407; 230756062; 657468927; 544656639; 880543587; 117783684; 199314509; 460609045; 200266911; 652160962; 326050354; 863783819; 355880856; 475342627; 510934703; 272076972; 266881173; 892110553; 953125345; 189666092; 718093968; 441402075; 800280757; 47727750; 129587245; 603995551; 883782484; 603853440; 877371209; 374237467; 76189334; 211029409; 9961218; 171974100; 569244796; 776646544; 323590865; 935751798; 367183785; 918666532; 998371396; 109672162; 597171037; 837895739; 242141100; 997673183; 965715293; 530946749; 162122103; 597710444; 406211400; 546903222; 47482574; 39854599; 99056203; 659394165; 825356380; 655099454; 537486204; 984678319; 229129836; 314970894; 379519867; 376500377; 2734131; 878291775; 102364497; 263014209; 488443588; 899838615; 791732369; 645638; 496098463; 889467075; 379407716; 104010431; 391792954; 215478045; 687761543; 85469326; 712878761; 585737540; 974802858; 54681702; 256988701; 65391111; 29581851; 397966530; 419820542; 365301768; 144512771; 31330663; 118580966; 431017042; 519379876; 25468884; 887632435; 942010027; 360869422; 712750589; 942730832; 914935629; 584981030; 342202287; 908759822; 631383359; 598502981; 445720045; 872305194; 125975331; 740894874; 334000455; 545945098; 498712720; 874886883; 689524010; 101384559; 495440000; 295956827; 285220180; 379111771; 609119657; 485366008; 913694104; 6432647; 240833940; 906361622; 125676768; 541222654; 190913386; 446198045; 276352106; 213930628; 661712241; 500850579; 454283711; 218360594; 845910646; 990919068; 958509152; 977598256; 899741200; 380851268; 332875603; 862190244; 332127660; 228506317; 824721350; 869994422; 38469217; 619595089; 231146114; 846278251; 651334560; 61745902; 56293196; 991703862; 610698607; 881959700; 152650584; 167470984; 857517335; 863802000; 208389484; 918737362; 401613108; 96543939; 881675548; 662898596; 35887940; 536427009; 366700501; 560039213; 346010475; 534359799; 74814220; 136016333; 268982872; 95334056; 626238233; 49234339; 836191625; 85270267; 825533730; 925050071; 749139021; 464862952; 270579900; 162481514; 892564544; 352538413; 299769746; 995493562; 982483625; 763203857; 489391816; 977136474; 855206923; 351333533; 457457881; 796144834; 844933990; 406817045; 896154628; 291828623; 124626303; 704072722; 599689686; 734986801; 759298696; 855274637; 415553743; 352432042; 427832384; 204482402; 842370057; 488266181; 886074269; 331485916; 610402842; 8421782; 71550749; 569732184; 35676466; 613015975; 520021951; 36176070; 426375791; 747246671; 111335976; 235226998; 582869707; 453629810; 896572081; 558690138; 942263581; 740790959; 818087652; 168892693; 538441898; 958126894; 788138033; 38021837; 441176021; 880699442; 761410910; 936187203; 772309929; 513914449; 513480770; 721530727; 610093628; 242397651; 817941805; 182630312; 888991455; 248107655; 663223443; 712124787; 513013991; 624095893; 815061418; 73159208; 7706082; 458674921; 500371387; 91210508; 910997570; 105670515; 412184099; 724827775; 40120972; 493126822; 203011614; 206582178; 654042240; 705567112; 150357478; 715583359; 765707640; 552964791; 701221243; 915881294; 541505490; 807417232; 591418788; 579270824; 337013027; 613955636; 814770055; 924822373; 909985974; 453455575; 646477281; 226216681; 486050987; 422293017; 2249929; 129700608; 820773188; 636288786; 793032226; 401804190; 463272559; 284209808; 174349244; 485476502; 647638917; 445659117; 39294662; 62982554; 546329507; 196545713; 820684327; 415666712; 12249220; 898148911; 629233639; 997687652; 461568211; 646654681; 998438709; 977879928; 37310730; 273179882; 399953671; 237759036; 244963347; 854280601; 787136656; 980394210; 23062030; 886804023; 864803764; 349111759; 519202482; 549464397; 56722991; 453402899; 125513623; 716910249; 117439089; 270029520; 122788977; 94455493; 163429700; 154922960; 864303749; 293158627; 768681042; 233764689; 183718324; 795839253; 459690398; 275094600; 440051788; 568962983; 120363596; 89404401; 187287076; 88369214; 328044304; 502859655; 267418462; 240136666; 782909165; 149409029; 282180906; 530898266; 868359677; 709223248; 808410597; 774348475; 450494921; 927491094; 411277643; 602833832; 217165643; 303926428; 304662933; 549316418; 822047953; 346794017; 520120478; 76006874; 905245409; 770998174; 605183283; 792757634; 252390568; 309752560; 965092876; 856878629; 614044968; 107255787; 578932079; 571331886; 605442081; 128133446; 986102879; 941024347; 737840706; 355266618; 98982465; 94443997; 591165911; 896903334; 874782891; 192301980; 465197894; 794089596; 575000556; 715467954; 136376098; 377554186; 437570472; 421285140; 614055916; 954097559; 88385723; 477946493; 85359008; 896532414; 952143562; 913743321; 273051884; 953117319; 919127750; 918338193; 346368672; 261637799; 12596175; 170457798; 489629174; 528571099; 284337232; 681775278; 220942216; 211048164; 805863378; 186661080; 797773280; 318386637; 590491752; 490544201; 311863015; 85111644; 295091475; 563474663; 620007717; 123619539; 540403427; 292892020; 59767959; 941823564; 898534721; 74972849; 515111087; 816363688; 600576606; 847267705; 453583633; 829859999; 780557216; 216727741; 991680065; 918096425; 924070845; 833442320; 266973080; 887494457; 767028792; 466673730; 568004457; 511541280; 985467994; 817292247; 204892736; 575542004; 634750167; 331309678; 484660623; 722752126; 391890763; 922823327; 898025275; 298680979; 416516937; 288331737; 748340664; 509638944; 296185364; 29219003; 723934617; 541857361; 203566719; 862937809; 696788190; 49247855; 126150316; 60983205; 440754328; 742981627; 989933843; 27821279; 308529813; 22914275; 258302594; 18178707; 46853544; 1181600; 768387399; 438212715; 774310024; 444080274; 646124814; 395132897; 100417574; 962192128; 131728146; 627940101; 100366944; 713129566; 944764075; 200464964; 739103068; 344038735; 610047213; 701287369; 903568819; 313323950; 535662853; 279796379; 218517822; 949794360; 64927840; 463231251; 120137716; 288956921; 237661404; 89242909; 970629087; 842440273; 605066822; 499578419; 61069518; 313895898; 659824381; 164728630; 873955089; 311709085; 515420883; 906278198; 82099986; 967713274; 96205998; 239512011; 879725606; 809077756; 489521574; 846049429; 363473544; 777174350; 246160151; 487499869; 259953945; 172500635; 225959881; 450616805; 510264962; 207179545; 612838384; 663371547; 148192277; 211154407; 518692749; 124545033; 394652816; 721547392; 641818392; 990393905; 111377185; 304108744; 45567288; 514587986; 400166681; 165707015; 820190354; 181085374; 959845105; 111795513; 55678706; 618398555; 497253187; 45605536; 364338780; 369678872; 893684258; 975705028; 970586365; 602606639; 372671867; 207379626; 952709935; 599063284; 420356329; 714415327; 341353508; 831055033; 490265677; 79577520; 300133658; 937419701; 678745740; 258711607; 775393918; 432615263; 667803563; 256225563; 177407930; 849159109; 624943823; 37472777; 270044765; 724591624; 726191123; 849506690; 935924777; 406132317; 986681876; 176621041; 932324674; 583610771; 267871840; 608945874; 186939818; 220488045; 410620497; 221505836; 556039966; 490254916; 672246921; 769135886; 187750095; 664164235; 943931876; 158434042; 461413139; 562886231; 807362089; 802883597; 197797504; 754795957; 681166908; 884331161; 497297232; 514101013; 19322175; 618283278; 558780138; 667202655; 65377942; 849399315; 40393723; 489340549; 693415998; 562519129; 161726220; 773776585; 701416678; 739674570; 64561871; 91123456; 852167389; 932450825; 297818200; 234475595; 821273069; 483728185; 884861754; 866964731; 436244389; 872705141; 820325921; 970490340; 881285243; 337883382; 89925735; 235514996; 325386555; 770610348; 368011347; 803772330; 248352060; 693070213; 472077851; 444392557; 991054122; 486047932; 303724307; 537152416; 259943100; 141803930; 819595337; 689813006; 778198819; 763911657; 247551929; 690613519; 101664425; 131360888; 453607478; 735828635; 662575524; 688398363; 90559166; 340150542; 423196080; 540467296; 537374017; 892928785; 835033107; 552876757; 286926525; 986107223; 752993896; 958448042; 327233717; 359112570; 385653584; 842972739; 776501979; 18104642; 160385060; 707684580; 633479551; 67647524; 547488471; 589035811; 419848852; 478759389; 369346904; 561922552; 698500351; 524461787; 459046739; 910468843; 126400015; 565659092; 82037722; 915088525; 297880940; 206209059; 908484388; 604230379; 829556181; 542662522; 898987860; 40191259; 875142109; 503522286; 254296255; 241146149; 325665955; 763910334; 695862180; 968203137; 234479287; 330483900; 575071469; 374891109; 784108199; 192597152; 242290024; 601888980; 525169690; 726352551; 201179018; 870462828; 936907288; 848868950; 830854190; 463397249; 581121361; 141406375; 732944368; 490901336; 594182774; 802922057; 384112211; 781662447; 119997329; 793669815; 691726768; 607969807; 677060760; 576438860; 611011946; 110471899; 149864250; 913709964; 486517694; 649017642; 358235726; 296900258; 58532591; 941723000; 965696822; 577728411; 401414047; 598575634; 647856539; 663140925; 449481097; 674923258; 137271464; 775919799; 258411214; 68203322; 282347964; 850585522; 903101584; 24959103; 443352448; 354729085; 832648433; 49374045; 392330518; 728211710; 182413330; 391995757; 607346067; 909800732; 478672832; 434573454; 719637033; 411108495; 820428871; 260350919; 182098678; 228610241; 351157864; 403841297; 908651127; 882803715; 374526239; 118672016; 165760893; 789651238; 382962814; 562232793; 961628604; 272915418; 689530712; 920570127; 842264975; 841065907; 860757110; 128034092; 850669852; 110794576; 665084646; 509703692; 610034547; 360972453; 553445413; 930918931; 159171900; 990901982; 78771224; 59472441; 635811739; 790071984; 397940865; 876092650; 423444629; 732311259; 549091488; 108137908; 202921774; 218700159; 832642487; 43269794; 989270889; 718241021; 127615937; 139926887; 935896405; 758234537; 475788598; 169263000; 49125704; 822146801; 573644950; 442597256; 996214571; 481894304; 374077415; 623323621; 362558940; 401759374; 418054881; 587485421; 230255758; 660706953; 810336583; 667831603; 931978600; 839607241; 161679446; 240035108; 467731865; 154486255; 723315568; 839235424; 256785806; 760536420; 33803110; 192506274; 223852875; 529360529; 206869251; 350132520; 903639860; 63806530; 409749151; 688602556; 479620684; 938268852; 381587169; 507117108; 463262022; 502838094; 644466975; 40696189; 694765527; 809916929; 760161269; 887322913; 593890842; 653153090; 412592034; 871467547; 264486814; 733605727; 141949967; 337464542; 645501081; 7469689; 214384560; 14857835; 791017096; 712899065; 361363806; 485761894; 286782314; 746609125; 191219081; 690667356; 997138745; 220786241; 144322973; 260185340; 637952964; 605025724; 309778930; 13612529; 786919891; 959154690; 211367212; 603927587; 925642117; 655734357; 379418304; 140705590; 239318807; 896725833; 105895411; 719657099; 817538231; 917510260; 404297148; 342052778; 99664271; 822021542; 782911485; 829578635; 422622994; 578844163; 307718594; 653604290; 166447569; 480186123; 974800839; 409370970; 177258110; 928780280; 825678675; 120704749; 216253185; 30491126; 55686430; 479215743; 556126272; 738595021; 392320548; 997526018; 641049948; 855362851; 402165421; 462633546; 810801052; 154113816; 204693370; 254084657; 355234513; 48936676; 771162480; 815287425; 897224087; 242009197; 264266675; 266762272; 884191042; 809316125; 977005006; 319113355; 254841611; 101670946; 713132421; 21246347; 232202734; 70743067; 982900630; 734903269; 22044505; 118370918; 712458797; 775278861; 287891339; 656435065; 248856919; 945780412; 242980157; 653925562; 85295515; 947724693; 151862345; 339381788; 823930155; 45928557; 158809012; 261864433; 362868655; 739157771; 842202781; 719264690; 389711557; 714680331; 575180873; 970681591; 296536976; 946873692; 439135465; 535258906; 830036044; 529299606; 179030099; 676325812; 442233167; 816326706; 227571041; 508588381; 425677642; 272859900; 584090990; 823425104; 108251378; 35393044; 735722675; 569572330; 739034846; 95104518; 105118590; 437624092; 204320639; 367619462; 944055750; 412014079; 468590898; 642203243; 47685103; 544226928; 247611971; 827425988; 39325017; 47129994; 181201063; 994586033; 678618108; 18784887; 725061901; 585550591; 396029350; 828659323; 786058547; 392560770; 957717608; 235435921; 748618747; 189711292; 338101916; 100719775; 657928019; 475025317; 805615630; 365767506; 341040255; 986081292; 795686026; 68277830; 395511826; 987690332; 78908092; 487531130; 625279746; 610700210; 423266215; 799687667; 341748849; 936751914; 290839247; 622046678; 464751879; 599515445; 495133455; 798346341; 757045399; 859131350; 993345629; 240725577; 780633092; 968090404; 860885912; 19009871; 391226710; 670973103; 455031558; 656217305; 48738498; 72880752; 642260823; 548860366; 287783201; 566879307; 543191896; 384897831; 417313809; 258715830; 640126796; 127346623; 353599786; 938831811; 567460640; 681661720; 98197160; 623462160; 48437687; 471022373; 199813687; 232987646; 916538808; 531204109; 935396801; 580113697; 482815540; 692068381; 642488182; 69405993; 750708940; 842755980; 845214576; 873852497; 168757503; 860251831; 522563157; 382948208; 415713204; 706469291; 316985248; 984415103; 523964364; 405108730; 773419332; 424291106; 966122190; 73107447; 506033893; 183709106; 727847417; 47276338; 959965002; 19965223; 720702698; 771834989; 254639884; 595399353; 852876697; 771143866; 623947516; 136997554; 586911350; 851776564; 122321397; 763743599; 418844540; 297680258; 845502205; 107682133; 529169112; 639274253; 746587956; 348641702; 251128694; 547209084; 764967630; 444478026; 803548347; 23627958; 856688354; 754096726; 543161213; 823216755; 670381491; 370449452; 803622136; 45059433; 32145521; 717768310; 58022780; 451709279; 981572435; 601655762; 891376419; 94312122; 23912700; 95353728; 763806128; 952495681; 156244243; 756914609; 784411323; 202556518; 930716174; 599549141; 60218300; 826104829; 567497533; 934877174; 81722768; 755972125; 115555925; 648536099; 152070397; 244363421; 486061823; 230120970; 127886833; 365350643; 549997145; 735738218; 255680375; 897335901; 183403863; 470446547; 252325426; 314332986; 347184720; 664566840; 893330177; 606302725; 753082855; 218215186; 639747578; 817303649; 499015416; 147330720; 745274416; 642375564; 837273276; 122690822; 930972614; 602319664; 469276322; 577570739; 411801223; 967935435; 146393507; 878916051; 349593077; 793158028; 324923405; 211115344; 151534611; 430924690; 856988523; 258076135; 937598403; 990156049; 916673953; 483518424; 572121392; 894334823; 286799694; 523577995; 359688573; 215536287; 686118986; 743266133; 886877951; 366292601; 139208573; 775558351; 92126077; 986434048; 891985650; 59739281; 969829945; 214449121; 514230747; 511348609; 440592635; 911754332; 774118431; 122004988; 370262905; 368187860; 864426303; 901595776; 668153402; 989047088; 81246797; 32911116; 373469823; 706784043; 249110056; 201298110; 703710721; 530330347; 840358924; 958024002; 980752409; 490099940; 666811916; 565845466; 200254654; 125832463; 935820946; 438399248; 91439031; 186188725; 191319221; 976606608; 410408730; 942747938; 454473085; 430072132; 662135949; 617869325; 651217295; 933156436; 658762357; 917232243; 927062377; 680088339; 757343473; 365886413; 548201019; 127801987; 568122934; 540983911; 804933115; 384455726; 17338388; 691014662; 214552631; 610110290; 69501234; 451976583; 380976407; 35939840; 250989993; 103049635; 389515567; 462267674; 753288958; 826252515; 105362110; 575316855; 109794507; 604229891; 757746884; 598508197; 697259255; 955333566; 330353071; 692393726; 106123547; 276740439; 167003472; 441232952; 792650645; 780924630; 672708920; 839513530; 650685767; 130983002; 681975328; 438720531; 290197336; 474530415; 737942224; 597568975; 870904524; 507667504; 144116508; 238581339; 709628106; 361077135; 218375510; 990008569; 302542060; 954910460; 434734411; 988861394; 827841299; 753323071; 677753895; 384890391; 970249243; 5684819; 708639748; 337604621; 125925772; 396670209; 449015229; 132038103; 947309122; 744990831; 64637697; 598832879; 989374093; 20413771; 604756376; 384773853; 386810965; 671114203; 634961462; 925857820; 705282643; 367295840; 145048421; 922701027; 773769150; 782971635; 394815901; 989225040; 433751793; 569908864; 538455747; 193148691; 927572728; 957743304; 108240065; 557297364; 360043940; 249106095; 642362712; 214312667; 191487936; 38547548; 360282552; 17429904; 310057773; 605860315; 726410925; 695098802; 616775376; 543232182; 377137399; 141226165; 53260744; 780338309; 578842027; 713326978; 77467968; 960283102; 876528311; 441552188; 741525263; 769981392; 889301557; 812228436; 690823698; 282610301; 254694533; 782885110; 388383827; 309471821; 99753629; 284247671; 494463472; 224883599; 802500841; 887938160; 490928788; 499969063; 190236327; 596161321; 417001798; 142815922; 199300343; 586735204; 870638977; 970706279; 887457098; 111295247; 607983706; 291753137; 944817366; 773720300; 874265397; 103225335; 128827561; 400185926; 866960681; 44854643; 211403946; 807234475; 873716485; 477614456; 264899306; 440517955; 48261538; 589417879; 800553288; 831181592; 367165316; 29623233; 406643420; 669231402; 405149396; 652412997; 585769236; 752757523; 360882866; 845555393; 186870187; 280271358; 397698736; 128266231; 586244705; 325048709; 957490036; 122290529; 450522778; 896021616; 275148968; 685886191; 505704380; 632326401; 252493045; 945058381; 413983162; 471961021; 357644870; 498938314; 910493505; 886575651; 564352957; 234898223; 409310563; 818932703; 282785851; 922365628; 737463988; 303161415; 994451345; 701615247; 219467063; 437452354; 719199569; 362864980; 412183023; 596851534; 677895891; 226651995; 789764509; 99841359; 475282377; 715041439; 101858926; 451723557; 492845000; 2166975; 813278644; 693973776; 521258661; 979428849; 934799725; 916892106; 851988654; 167492310; 569646609; 868960030; 41739645; 357973448; 295853823; 140714904; 194119932; 337048597; 702603568; 847346661; 190601064; 895948384; 224754313; 418518109; 981323382; 294133830; 823055632; 397991890; 473378307; 141285948; 662992452; 776754892; 491509130; 305737653; 194880251; 121002434; 522628237; 153352241; 720358249; 997079372; 254823732; 650841617; 99254067; 459373534; 772873472; 133016237; 219850174; 578290976; 492649613; 326644546; 962777530; 67243532; 85986572; 87432079; 726596102; 785075685; 458522359; 514131633; 375719348; 314487505; 707919398; 27580423; 737831494; 326487232; 525522642; 330489361; 908216916; 469829244; 481168589; 705523539; 256955957; 309656987; 545627025; 272688538; 752133894; 950370264; 45274638; 451098207; 231840706; 306491635; 231113409; 662935757; 640416520; 237535951; 174785989; 758206336; 347644252; 679446179; 264929886; 642501607; 481506808; 23628327; 291058712; 965651629; 381486673; 537097824; 653853466; 451198902; 230377753; 668301496; 484356968; 792015416; 111012448; 408169278; 63596556; 107102101; 627592637; 255924270; 511224702; 782691457; 695259502; 570538058; 732283482; 376559037; 439100794; 244754188; 366143769; 273609987; 808720975; 546582334; 171726757; 938391125; 510178963; 633535554; 112063058; 747936247; 842498857; 317974426; 510561752; 602927847; 101710097; 98103696; 896871344; 626853136; 126861317; 260231362; 447838536; 159020861; 913919612; 987123586; 635289087; 295129770; 305075231; 26034737; 720721231; 599981870; 221055431; 979274326; 79333886; 869096114; 64033632; 672899128; 599528099; 340536125; 689804090; 460497644; 735875311; 576947850; 943540289; 752972354; 236827714; 218216776; 244219430; 705902770; 571093803; 938062929; 382707828; 820036499; 92782111; 497537599; 894225719; 303397587; 558605160; 369869866; 765610672; 443709139; 857158018; 947508188; 291686865; 467030699; 31015130; 794279782; 405061695; 480931716; 297701664; 163692644; 342985892; 300296577; 848125193; 654382843; 808441574; 136289184; 610873916; 230813514; 785289089; 744103329; 885736185; 28725594; 452032754; 848604758; 102073606; 70721971; 19915687; 687136575; 342804379; 42543961; 31286285; 223555178; 420747102; 379786045; 920855836; 313202611; 18377964; 73684697; 356929887; 372468589; 406254831; 454869336; 338069504; 839453092; 154374131; 382595668; 615277528; 449200167; 172179251; 932394564; 486737149; 910995648; 760406051; 317613840; 378756404; 879091127; 471459472; 748085312; 643842048; 523306433; 176188907; 650354849; 558328308; 737466983; 791329084; 204695618; 104505729; 403184523; 903389597; 648730985; 887060191; 432332860; 558280435; 69016767; 585454077; 724802053; 82251088; 45176456; 116675008; 571452786; 799486636; 606786982; 693218173; 440841410; 316674092; 559993008; 41949608; 674400728; 576134381; 404055; 948208242; 708003350; 733379843; 144527083; 888027410; 36573046; 921658007; 337334541; 704716332; 712934801; 2522857; 523664660; 90014517; 268020981; 104525049; 893929243; 275187217; 742868157; 607907918; 637418360; 384163361; 317845440; 602252030; 459836554; 854416392; 851359783; 823238506; 549419303; 853269269; 149040665; 639799639; 105424291; 793340468; 282070837; 572988240; 206921319; 154715583; 497347343; 999519643; 900382675; 311851245; 245450255; 292151001; 351679806; 799603146; 628787348; 709419854; 533389507; 802467313; 504470345; 913870765; 647938342; 45169572; 895849819; 674715257; 290710924; 325258085; 419963892; 897159023; 10990781; 82876539; 339382711; 818856883; 429953787; 169996708; 72080095; 435899831; 741103484; 227356989; 156202729; 17183776; 34979049; 172124953; 340397706; 680204742; 49946617; 8011724; 708845945; 933467452; 301594747; 440212655; 40817878; 632116323; 683301047; 807548900; 864483003; 748489626; 805723851; 656106740; 99752686; 856007981; 755996147; 141830441; 830530808; 624438628; 772907788; 325117489; 389619189; 705284174; 612187903; 584236953; 508007121; 796435536; 705397227; 708594272; 325652721; 662764479; 246032990; 862301868; 301042074; 243158307; 867032762; 450888990; 964791661; 754951159; 277626968; 615687604; 80862322; 245823757; 343602704; 603127999; 630115357; 717417695; 256170944; 123071375; 406490467; 230272589; 232198310; 859698761; 138602054; 783991443; 875267231; 83026773; 270787831; 75774537; 875224130; 373515860; 77222769; 493121215; 847973589; 11209392; 784349637; 767457874; 78833256; 813808043; 561213476; 429116535; 740704613; 408742240; 299997149; 435832160; 49384177; 687243078; 4384091; 438529485; 828095959; 329871776; 607950099; 695544568; 992808469; 251001709; 708236617; 492251900; 442925319; 644358982; 44148031; 247979419; 92484033; 681928931; 680886851; 415912796; 44055720; 833119044; 158747245; 25480472; 469224755; 497240394; 551187804; 273751205; 643077600; 543929101; 623380891; 780030365; 974048774; 928823495; 308448423; 689618012; 621367339; 70637342; 270603778; 392547249; 671685485; 207647401; 21607672; 291069924; 438543253; 797111052; 499539165; 261036675; 250200038; 838071762; 529331969; 972122144; 580033986; 908436991; 797121198; 238163852; 110591097; 121967193; 376116549; 274971006; 391727812; 252651749; 60434757; 185486505; 50860680; 663436575; 41102657; 458105948; 799080781; 382589208; 314091254; 121719478; 628975036; 790768771; 826037713; 876229467; 445292083; 210887206; 356495831; 631293250; 46123180; 609420104; 278475717; 504092265; 727510433; 176355198; 705659826; 802013595; 820197990; 404654358; 642786776; 162184238; 777786288; 905294343; 775672267; 879239397; 373149308; 315734589; 104440724; 701606228; 582270552; 608110397; 173634336; 960255415; 327433118; 370732942; 762722271; 427647859; 569472466; 283807003; 930488838; 559390974; 967663392; 737811157; 539408866; 776459186; 376239893; 551813004; 609345322; 985179427; 907303663; 84166670; 736138237; 889898749; 48903588; 584294251; 885111789; 134578711; 589806123; 864300999; 672111861; 37308795; 264749797; 155553334; 789890106; 206464786; 498824406; 45292882; 543586362; 23111975; 97589842; 671828284; 938782300; 955081193; 340822410; 693885699; 142028179; 920221727; 254968262; 918789436; 739012902; 349521477; 53748016; 591340856; 239340983; 667141767; 429528615; 738297419; 917484744; 531408885; 818776919; 960876273; 396194713; 849702589; 174839824; 744548742; 313861534; 395539227; 609715350; 653206975; 504542977; 283496079; 491969452; 887004486; 105081723; 597144148; 562285567; 480877337; 207117735; 662493644; 649091684; 682121569; 659149336; 175503568; 41013771; 52129876; 52348975; 363812286; 267015946; 681184317; 758879628; 325183387; 227435647; 857471701; 362852366; 161955169; 283617403; 490768186; 967845661; 285971419; 820054818; 503172439; 113698268; 208907799; 810313643; 847456117; 862867730; 37075664; 818157003; 806746852; 175512043; 666730756; 833627386; 904404394; 611248305; 745947057; 85015202; 502214058; 861204689; 485797971; 834782231; 768966580; 609810874; 521080950; 880403609; 384313664; 843387991; 612910822; 533588344; 105825443; 863463124; 765289790; 408785591; 346042897; 12358587; 461183998; 753506697; 887134747; 496348893; 498091137; 571721651; 117701818; 49844886; 325786316; 145227287; 185152998; 444377333; 743387319; 23598812; 184089140; 745582081; 135118766; 154437566; 774611889; 184306226; 726179989; 341936528; 248011673; 221682549; 877462276; 597284376; 478931799; 43369296; 902576186; 611271323; 957563795; 213364790; 53368366; 97174409; 320263551; 260229394; 836680380; 241621445; 217522716; 394501857; 381363812; 283000415; 143737778; 330648288; 654933135; 257305515; 693656634; 917881343; 784413065; 588672967; 905381306; 775407169; 739193188; 322905563; 618964454; 877178564; 621695931; 897858011; 127839387; 482784945; 16572907; 487919072; 777134208; 552619539; 382175892; 19493128; 522767261; 960881694; 967742380; 539028190; 870548520; 598435939; 54351692; 990777000; 437952549; 840796778; 694904142; 216145925; 553071997; 842695799; 97768516; 589094987; 853502363; 100667121; 938606349; 759768539; 387799415; 97214460; 24248698; 790215702; 153996352; 119252649; 612799535; 824420911; 513107973; 725245478; 546892775; 584522909; 92497998; 715783402; 417474019; 353699900; 766825378; 945920282; 632619099; 675471469; 940857695; 230261485; 378528472; 383348566; 305446729; 297386747; 196498616; 608691503; 585723253; 482947574; 525017957; 691080297; 670794190; 858145109; 809279246; 484650754; 591387379; 892477640; 356032981; 866433982; 235328601; 737335130; 219381516; 718682830; 60103923; 889128318; 145973358; 887686949; 704106232; 878622576; 680562966; 79516404; 593254471; 326900718; 189082138; 658639198; 601255862; 608809690; 448800764; 11724012; 837092363; 432437012; 374273318; 688903639; 525804373; 283961805; 843875344; 782400563; 864008783; 301629771; 607454029; 282986136; 45920261; 899546986; 297032154; 6912796; 979167533; 475097465; 937451797; 125713876; 538119832; 873128806; 452588330; 370825489; 149611359; 314756633; 8398491; 254868235; 572775570; 996349238; 569608058; 706318843; 543769463; 850233190; 162350709; 674481942; 759459431; 174462100; 557087410; 58512597; 174296901; 54515225; 71556271; 258734859; 548717131; 381100319; 493977755; 207356410; 81500998; 919509850; 212114777; 913109189; 126278254; 759002256; 275842805; 213320237; 107813161; 506024041; 851933931; 725398313; 704168038; 805668407; 599805192; 351463481; 804510709; 941345439; 790166216; 493731917; 459213772; 391189370; 843376511; 629473754; 841854732; 286761104; 559612250; 212418184; 957758202; 156658017; 268317902; 124163347; 698289395; 436078967; 851879484; 447556999; 83259312; 281933639; 31187891; 235910184; 172690310; 847791196; 691379664; 92800505; 53016921; 29746960; 338443780; 22456268; 421817763; 809478877; 535165823; 487346864; 779321078; 505854227; 349759444; 433616276; 181253312; 803370010; 169153989; 282601956; 141257391; 892158977; 429989619; 825147758; 971553040; 282134473; 453021392; 885037209; 134912014; 692429766; 113410785; 473233928; 464675207; 47534149; 70734482; 737662291; 481124844; 551217445; 616008506; 100122990; 721769405; 691284265; 853772779; 975778472; 214649634; 593818420; 554092464; 210950919; 698997899; 115928686; 160390065; 71596716; 652323235; 513339192; 172958392; 464459299; 185842488; 142177054; 478842331; 110858208; 134647629; 272510105; 556276982; 146085149; 526679189; 235719701; 226847887; 194058178; 746849360; 721898324; 60811440; 40615298; 612443947; 233708202; 213680704; 346288400; 747039320; 319044145; 604332110; 732021534; 861550211; 462472984; 543828202; 278247713; 621501754; 278090641; 685390911; 800473795; 830144128; 721821478; 494313462; 391976390; 7173523; 110824724; 948590544; 324212058; 387626925; 861391644; 754081804; 345419736; 162289342; 86109943; 258164023; 996354442; 199276435; 862338377; 524616182; 599218991; 88938028; 743517149; 672866298; 270272014; 326471893; 813535241; 934142546; 297697304; 409689507; 937017538; 569737856; 355780668; 879902397; 765660723; 348383864; 516463855; 247914318; 333844480; 269729178; 564675546; 627631600; 133791894; 60755664; 611697056; 290133135; 573445125; 589946443; 872673521; 219916579; 456854681; 789039330; 429092439; 646434057; 668518001; 10937245; 160405731; 180012470; 598619325; 519581691; 363523769; 158109056; 207494427; 985665834; 834243623; 983202443; 808338842; 598913887; 976431821; 885255663; 108691957; 980828211; 74185735; 848795170; 565924072; 629648361; 70783224; 674110258; 74358952; 152233492; 179170933; 808400529; 578025834; 943260480; 579442288; 351330544; 425311539; 179808968; 896771630; 762254134; 495737215; 398492531; 499477743; 525513910; 810516833; 737171599; 74752115; 842623089; 307885224; 428729611; 545888221; 77407565; 69415259; 557294058; 868551885; 993067860; 896415517; 57972040; 561797372; 200333210; 904190495; 549302048; 119126849; 427629364; 471664697; 497156612; 24296570; 75946211; 849677520; 860810589; 908428168; 525029521; 735625041; 578978267; 811771023; 579917607; 954080424; 412813823; 737680765; 527177891; 914445723; 643388250; 159299791; 679345276; 791997022; 730614808; 485627880; 325502018; 573062178; 672150235; 376304105; 584128985; 917570636; 261546228; 408480084; 46358528; 115117350; 187535659; 715739839; 332078783; 593342800; 252353648; 531097239; 414186668; 891161331; 558373908; 561855611; 845295532; 6316040; 291701316; 901379703; 828582306; 720209545; 79107397; 296088096; 483194275; 180508274; 406952080; 639018830; 733113234; 904228276; 691355328; 673339898; 914527569; 695166827; 3816349; 770694018; 734759094; 163994995; 192337995; 721681280; 483913311; 250856529; 418847552; 212162196; 87237301; 195837122; 328571029; 773433530; 428522240; 616141613; 734316023; 105072750; 680745019; 265871652; 631658452; 686417134; 177682363; 685488967; 531113859; 922995144; 965181673; 608170056; 869024884; 824419652; 392282305; 940686188; 526587485; 235458504; 160933232; 51580412; 35575758; 490303896; 254355096; 525773066; 921048315; 712832360; 334505179; 329620100; 432072335; 383099690; 473847573; 578158208; 469070344; 631393928; 864174709; 906315813; 10788287; 159121436; 371849297; 464341150; 625241053; 563540180; 523243802; 857899935; 100026964; 252847571; 945230609; 120158396; 447042312; 436983733; 950158974; 634513264; 291473157; 243881935; 416064983; 121663128; 736369686; 3769328; 687586243; 525070099; 227811750; 336887800; 262663057; 450912147; 762569664; 688448558; 4628367; 696715116; 349188994; 110007614; 996748738; 743210552; 638017310; 439018035; 497239409; 851871343; 444237036; 501523212; 707242605; 624789503; 834255844; 7126632; 257598434; 246850940; 612162437; 747043433; 448390861; 113539348; 600172262; 625390642; 281631168; 199356398; 642524835; 258019146; 227300853; 984274217; 782006858; 942203118; 579736194; 129984026; 837598262; 404425172; 909031864; 191497961; 827510193; 858455992; 189768090; 742322120; 386641069; 329005621; 420617220; 702790111; 118872101; 406727902; 222088077; 473307130; 55406329; 27691310; 82325313; 157791701; 249943865; 992337343; 863081199; 492886357; 681918016; 911670858; 809263489; 487751862; 534878067; 288067650; 346972149; 175265425; 808196067; 42406932; 695460002; 440056295; 431953962; 38183121; 65190340; 287765315; 30604626; 392675824; 932846531; 399433170; 407322180; 666298966; 32554354; 168641863; 632656270; 159791528; 477666050; 962457243; 759126769; 119939630; 44351372; 210597155; 128494651; 931275808; 121953080; 766076752; 155982247; 907365777; 491198093; 525365194; 916254510; 335054252; 138365367; 937945497; 274596570; 425558746; 347836456; 638307245; 533885578; 972625099; 39685450; 530667808; 911001381; 271052482; 968352361; 598019645; 43642255; 521135435; 707298977; 859993637; 265514260; 847463229; 231925467; 772786586; 623502738; 466408526; 774990036; 129296767; 833968434; 537432659; 102464075; 564823078; 680012123; 779981351; 203723073; 943839262; 519370468; 613992695; 405592179; 116340051; 574863179; 546257975; 63468759; 423652964; 163329819; 753971185; 650731504; 996396173; 939121029; 770222730; 112591318; 713432706; 342859609; 636683328; 842457100; 14021592; 352968369; 932864533; 892766190; 299335490; 702155493; 82841521; 183204872; 440273288; 335901725; 470051453; 948267758; 318616954; 725885801; 76859135; 101628880; 765710033; 684868829; 712449424; 667242817; 94552586; 795766640; 91940227; 54418542; 273931469; 309723452; 375754328; 799170023; 501698542; 315015633; 537801538; 757189963; 853881968; 897017669; 196615295; 534861318; 106389736; 718998581; 611714365; 904041700; 799661019; 966348098; 401292971; 980888482; 175824291; 223479260; 962118327; 392203957; 127417118; 288418232; 546401622; 996868301; 562300226; 991402546; 742009768; 36767249; 821612983; 265739884; 384696154; 48891940; 455962226; 443783802; 728867599; 10095249; 507334214; 509801023; 705132618; 236300162; 864028460; 476059183; 848428949; 35982421; 965861402; 878279488; 70596602; 86815460; 238541983; 46961426; 100464921; 976866629; 642506529; 279616350; 998903194; 305244051; 630784654; 867524799; 170526416; 977407347; 749463560; 38084527; 518773580; 460612607; 817786109; 936319767; 673220449; 609221992; 865079470; 171433892; 669191800; 211603867; 663116654; 999273639; 929672093; 131762178; 613401666; 789800358; 401908722; 54255536; 34560471; 119263689; 425874436; 945081261; 35873952; 909941608; 347228688; 230612028; 638076120; 515295819; 327409888; 736437763; 549098880; 445747192; 418807447; 257794257; 878523094; 541287191; 967352308; 255283358; 358801617; 522151781; 565274623; 290902875; 372709602; 493298875; 109385233; 952913731; 603831637; 670380995; 806800607; 68571489; 780770785; 726329432; 516401002; 165849277; 233391426; 292840490; 381311395; 353369564; 675521631; 599616297; 736689682; 365519267; 898799691; 760250760; 795851446; 833871245; 752277787; 959186820; 775860367; 475752568; 302459576; 117045483; 416102140; 824591904; 867775236; 52956427; 373884037; 423242200; 567321419; 313328000; 934580930; 654867007; 436632476; 92021094; 164642298; 102014581; 933203769; 754429367; 372544102; 466696789; 702291404; 155863081; 836886447; 644106600; 333633272; 761598659; 720050467; 550244460; 216885869; 624578872; 343263773; 168854767; 772260600; 597504336; 403080340; 459368466; 461901929; 794572037; 983664865; 4057379; 989966079; 254261077; 82690265; 563001546; 28911735; 199144539; 40869398; 981004148; 446682628; 724413502; 352958680; 744784922; 454043969; 191599319; 175768726; 765264539; 3925237; 615634561; 193424375; 771935061; 711892240; 939792186; 243813944; 527931236; 657285341; 932333263; 314742552; 578521227; 352974173; 18085082; 233802439; 518708161; 979646476; 530290526; 83041982; 833192602; 137576951; 935136871; 873372417; 551159602; 122463484; 4341497; 996303693; 372572415; 656004490; 119537687; 41641065; 350292260; 493115049; 361511341; 765412789; 911050708; 264839251; 690587174; 103565736; 968380703; 331428429; 174991259; 949310699; 932753337; 605669478; 594219539; 319260426; 740255418; 81950411; 890824304; 113386023; 576529450; 489047925; 691489322; 863987909; 707723378; 27112281; 628814540; 104842599; 500526791; 307309053; 922123657; 810636226; 229061119; 526746442; 415478649; 80239290; 863923379; 194457923; 217517579; 619061424; 868634092; 577626927; 45265084; 794267698; 502287183; 176733243; 502438758; 159516694; 548608509; 196788244; 415897541; 708433212; 162018527; 464819957; 174098056; 955301889; 935664650; 199746973; 769963647; 525502545; 398668584; 9218509; 971535488; 99584261; 256746459; 508305833; 438750502; 603948309; 919807388; 128912291; 498288687; 968342968; 121035762; 745286926; 710935477; 79679422; 524293774; 123729832; 422697631; 261276848; 253841041; 309135623; 452919499; 41811494; 233219624; 20223165; 629006202; 745583557; 884368054; 291918081; 601814462; 460803541; 978441030; 170503193; 295351330; 422635781; 260494030; 417525062; 60536903; 371299284; 340480496; 781466813; 76510776; 46546742; 733733670; 262087025; 349847603; 590423206; 414545176; 890745434; 527411748; 337041644; 898262451; 495130089; 359121069; 353015554; 296493571; 230557031; 449034758; 648215754; 204156957; 264311014; 296334123; 847585896; 629171037; 358034349; 203821851; 482016470; 194381078; 493403776; 125554173; 46390993; 512628804; 228256397; 607004923; 80226066; 221278746; 750748668; 85924285; 283377316; 37473446; 327817747; 106674531; 135077686; 63217376; 239891855; 823356139; 347600299; 369126735; 975209004; 171433685; 319517514; 923486442; 767064477; 718291992; 454233021; 636164746; 345177170; 815435047; 731494040; 843694769; 640106843; 41591141; 983924130; 447662779; 27092306; 67169282; 265760011; 835798179; 743041835; 611637272; 887016696; 641405148; 35675823; 237744407; 745074730; 200463973; 833581229; 355728542; 39123526; 149028641; 234875319; 387173352; 895749604; 814788523; 210355037; 363947989; 443761360; 472370666; 478564141; 730384361; 647356637; 989903326; 582094538; 498649877; 71875237; 782901929; 733383197; 530275334; 775835115; 311515935; 245093653; 842035022; 204239763; 22174473; 566834824; 844939493; 605035353; 537761315; 778659614; 537743220; 390063554; 944670870; 878565892; 99687812; 927863435; 752816451; 452823621; 915038714; 446512533; 842310454; 903096919; 466425477; 250047936; 688456200; 532347039; 652660436; 603941862; 812722475; 549727771; 15786745; 272127664; 979370792; 682891972; 728105840; 854125001; 600129051; 10331715; 59409923; 581429288; 583611725; 371748517; 568553927; 908487984; 355324523; 68072551; 299195705; 380879615; 679315317; 883627137; 89553953; 599384066; 776575181; 370513333; 505107996; 20572507; 396093717; 613166162; 905031008; 315625874; 899734776; 454418845; 58321121; 602211995; 766923736; 758492467; 368044209; 268718515; 307360163; 192143484; 440675214; 467852455; 960094046; 351890143; 507040312; 303892592; 642468909; 142724388; 779263327; 269813598; 203864842; 443259033; 719928829; 13070916; 887803280; 648738928; 38442351; 18056085; 764507855; 454941657; 96811258; 898079213; 313473354; 960991979; 419250202; 585542821; 586881150; 958985189; 394191870; 149438499; 772006898; 427370268; 345149571; 870643900; 930332589; 756891947; 28754927; 621135895; 484508477; 541327780; 519580603; 499914409; 610274982; 950030942; 602536822; 706440685; 426090942; 540497362; 531869112; 996069874; 425960553; 281740021; 83899295; 247815322; 946921608; 97687138; 386780143; 118160523; 529125516; 908160725; 348588266; 676490661; 511431867; 303305348; 382356143; 483470661; 895681368; 123080045; 351918674; 684011347; 505847104; 697153811; 225602918; 240470423; 476046247; 153492705; 296387589; 404097720; 292121792; 977170833; 526660637; 765201409; 654554711; 138249835; 423578070; 514731049; 431047176; 704734380; 187558851; 370287949; 491750490; 411644500; 490129719; 925859723; 271063943; 709424567; 866970026; 711217242; 371158443; 237795603; 730524316; 906031427; 163106605; 464466243; 256440722; 196886769; 629532448; 504293455; 165248371; 856149194; 584390319; 736127201; 350761782; 473042740; 913280883; 210578495; 991425615; 187676304; 525233913; 646656085; 468156220; 376445566; 112932796; 748497917; 379974251; 937076985; 4909653; 488227465; 861647274; 929670095; 990652178; 86856787; 670081706; 229112668; 517041026; 339607981; 622604955; 254841916; 198378661; 958630846; 492411426; 550996027; 231154955; 587066293; 172908103; 875132441; 557888164; 906106935; 845758800; 404111692; 289637106; 300101932; 947019926; 135390204; 436256302; 658033357; 942491646; 712555021; 532242765; 884985685; 875174960; 758825030; 628441476; 925241405; 613786864; 122628256; 610761646; 664430542; 439971509; 392482598; 144951317; 571374301; 314573796; 579931864; 851789455; 411634616; 908982533; 461200419; 240643835; 808903357; 837787827; 539853611; 42616001; 353988703; 283499217; 918626521; 126728980; 769292482; 786911002; 93828073; 403281233; 718442793; 692156526; 237941648; 138093772; 460749549; 567213650; 496536933; 324658137; 864444015; 209165697; 571892881; 187865917; 371452938; 547233437; 493686688; 154238910; 918918592; 735947319; 245785118; 640259933; 79363770; 709530353; 989827623; 464519247; 943242857; 835442140; 81453145; 441102770; 94699523; 303346450; 242274604; 759385008; 904910085; 872540679; 552453620; 286702537; 941611597; 75060412; 265995329; 266227753; 158374793; 269048152; 489974795; 513575009; 999713968; 490336385; 876123465; 579632558; 83323967; 203559439; 184217297; 641710810; 878387641; 543202786; 455913687; 301318527; 968166193; 300382113; 333762290; 906201380; 456250921; 603509149; 791465289; 918456404; 766985092; 294139690; 599088715; 577573713; 514527630; 656664860; 956190436; 208569033; 942715845; 200706399; 722445973; 923585583; 368645890; 803063028; 111967099; 75695510; 889255487; 168514512; 383866556; 155471769; 237670055; 165318783; 688524379; 204519362; 222908245; 971948400; 373727407; 673308319; 134604770; 823224812; 161822869; 200663478; 105316173; 171870471; 852045416; 884258310; 266593738; 226725818; 743709552; 631774544; 921562720; 538231753; 768962330; 207496912; 373077754; 880228867; 873050330; 466433961; 438553245; 915841866; 760552962; 225281074; 27529020; 693312850; 839109679; 958350342; 342487233; 548088560; 610954913; 359520741; 87075868; 570831510; 340574184; 856276264; 746866729; 67933913; 497739002; 26335037; 506016657; 548380973; 471437599; 908631907; 175742945; 280255865; 785941865; 327621547; 667603184; 87452398; 214409986; 484637179; 505606777; 727410232; 636294309; 634157847; 617886388; 784277442; 85466339; 622372471; 603272619; 798410605; 989975983; 360754011; 347407408; 873569660; 43634003; 345404360; 604268245; 76702331; 700733022; 150541702; 203513139; 970632124; 351592609; 290900536; 349718430; 880311251; 872916816; 816335848; 668930997; 763988493; 871107171; 563064741; 517166814; 661039857; 119171380; 265480037; 378625288; 638866540; 184207684; 573346540; 546671655; 56031535; 514043381; 840941612; 892438260; 755622598; 182139956; 783306183; 492284061; 63274319; 7926962; 809231560; 801334235; 488947670; 450278218; 978722699; 922671516; 984745152; 514026765; 181012354; 225410175; 732818274; 69722472; 828295833; 634286590; 65872778; 873369673; 48129716; 104908707; 840578058; 169548563; 492731162; 45141742; 212797839; 249037453; 841494862; 734323085; 388947744; 926247227; 672230083; 202253312; 734512334; 937839148; 44998267; 967918328; 559897216; 997177046; 843623712; 399070130; 599433687; 826381085; 336608287; 629036902; 31099415; 933513378; 4934745; 790571729; 894115248; 677697394; 427808533; 516959296; 233397560; 278949672; 138215745; 133224401; 339557464; 392851981; 958545895; 188127147; 883823816; 229863256; 23053409; 714437179; 330021152; 712380201; 287968403; 814912800; 386802800; 897491745; 660077647; 951663377; 879571817; 439781095; 921210178; 886119612; 67164456; 784011224; 212766174; 37201767; 537563014; 440204513; 986053838; 266379086; 867431146; 460798750; 350539260; 570044678; 528864368; 191756566; 630191530; 340752075; 252622474; 272078954; 237254537; 612324001; 225048548; 96977464; 210580168; 515005199; 431228832; 91923590; 971589655; 706427483; 722659013; 453836675; 412376649; 445524448; 972290945; 327567124; 990097132; 37691263; 100401635; 936512; 636715025; 250671703; 454832179; 102252214; 495009359; 262527606; 686127808; 806945143; 918281428; 1937382; 217673237; 695892254; 22644504; 336304466; 112128314; 728563748; 26135337; 138614967; 563519808; 631776298; 360925592; 424696571; 817761203; 46630863; 155149446; 245206972; 20950501; 89489060; 702380621; 847616536; 229039039; 800550766; 78883343; 792038578; 973953566; 440233285; 692143966; 383258972; 433511746; 395440755; 614642547; 643363425; 725085226; 198670356; 902937414; 59026491; 607011128; 482232497; 269972303; 70396363; 591704886; 21148294; 22298632; 848503446; 925818257; 118195236; 685415597; 86405832; 614748586; 332890885; 113252253; 923809363; 435867370; 856670932; 644304096; 136421262; 102952008; 727731544; 368072995; 387323524; 278365288; 600373243; 159935401; 845077073; 408449083; 541726886; 562242409; 199132305; 455811323; 25301183; 741157721; 678896684; 762751791; 581888883; 795479019; 441530627; 201583834; 73429213; 631784532; 284747476; 907867960; 975473785; 674248957; 594621978; 710664221; 871301114; 618294828; 823602214; 896759037; 455548845; 127296308; 564446903; 425337669; 678243336; 237252642; 140082609; 54139153; 546568938; 862658423; 692954268; 586106678; 347089342; 684119481; 882293096; 727622415; 584225511; 837872151; 927812401; 891020394; 459098313; 524229988; 400618593; 144233708; 126665186; 363617713; 714757815; 234359306; 90483192; 35696734; 748412828; 976610672; 920023435; 334790411; 415613634; 157769988; 801962517; 342275829; 775080169; 141978694; 347443114; 496900560; 404302005; 402702646; 343813894; 387209951; 228924156; 86075543; 906861978; 876974887; 469502628; 340179167; 154015765; 229157248; 521977653; 875389899; 831090087; 239030902; 258473485; 587239921; 334458327; 223893230; 97450404; 56998536; 764507851; 860064895; 834148940; 165676687; 301660165; 457546086; 53832583; 483941609; 459130099; 750333246; 949324772; 629360906; 884290308; 40405607; 868914170; 905159240; 804155778; 176128048; 383352783; 562393403; 121624317; 437718967; 95844153; 326500952; 651919745; 121327219; 884634167; 413839324; 302678474; 635755824; 922535625; 397520240; 423569913; 809083146; 916931293; 223671042; 2794666; 397755994; 409982219; 259104695; 37760881; 587011035; 145232683; 51604967; 414047939; 49542484; 313082584; 905333331; 884527093; 131031450; 928697422; 591308967; 827004998; 400057520; 43890898; 376902173; 301771275; 529224486; 695228203; 897721803; 898696058; 644890253; 497317092; 345730700; 454564480; 281742474; 894500055; 92175688; 43045005; 662881108; 508640736; 425205834; 90452847; 74616279; 877738613; 587899024; 428739640; 215350779; 635264513; 173775820; 500378634; 542058542; 228168117; 643034785; 892880631; 496078095; 914164796; 546195608; 651878884; 648464723; 782956563; 676768581; 881479866; 164176703; 923044456; 71948078; 448759692; 844253965; 479054454; 474753258; 850058609; 24095156; 202596846; 957576989; 347226699; 346930691; 599649689; 920132705; 109781658; 40769138; 551160772; 820516839; 437063445; 808349729; 402696401; 730630132; 487661126; 231124935; 446348675; 142082403; 730588311; 475029523; 833398491; 99590595; 979378615; 645768777; 646557073; 900367743; 315090817; 845582723; 517748882; 281730889; 641806300; 983547271; 109829654; 699123544; 815225780; 720042682; 405125323; 596324522; 279499534; 667442300; 107332738; 117010288; 536656135; 682270372; 34714294; 15742184; 876395419; 142010477; 38560363; 387042106; 926796126; 94593624; 570446864; 623955457; 202120514; 126330987; 156757609; 103806189; 354899247; 218660243; 665763216; 78760319; 386445739; 719773885; 43793660; 747518209; 450503706; 972821426; 539259066; 681996465; 754771468; 334841423; 567434863; 456320627; 545910245; 584109691; 694096215; 620682995; 232964030; 738544627; 111419497; 17906087; 765004868; 232917506; 830993728; 558021573; 492769428; 863702439; 454066520; 757348476; 199072255; 339192021; 718136422; 437434207; 918245104; 405788820; 394301058; 307939839; 191730197; 625294713; 933474132; 421750618; 424620957; 338532255; 193804647; 843036624; 573038740; 901675969; 989224916; 233216035; 53438174; 221059372; 541921148; 503920213; 471125637; 941962632; 705247663; 875854223; 513504807; 767781266; 876613442; 772908801; 135351830; 291849992; 954992564; 723576619; 709831262; 259739509; 546879126; 397241756; 207788674; 834729661; 269076168; 593795400; 933289167; 418196570; 597971877; 628384165; 251737696; 788124250; 2335914; 264477564; 222370379; 335071141; 802601388; 867104769; 799030972; 781989467; 208396929; 768867985; 636528999; 727357960; 346945477; 194701687; 394560219; 484201767; 804853772; 492666546; 204365868; 592213147; 356026062; 394301059; 733623693; 722229719; 974946426; 494005262; 368846711; 547047810; 879104872; 523996169; 106500022; 303914597; 522424651; 508719380; 762412219; 564392489; 721800195; 907297204; 695285600; 374191002; 902713892; 512611751; 49675175; 306705382; 252032090; 684724536; 677716117; 294025346; 997967009; 30234313; 382293882; 826323950; 988528049; 625041847; 53895882; 175104222; 133514554; 526997743; 524755768; 722169337; 37207707; 937626844; 456099622; 770216424; 284876396; 670644090; 634900580; 584552344; 451665824; 368398947; 740074413; 413343590; 526968585; 450318381; 277139380; 20941984; 770816362; 255343869; 373165782; 145818863; 275104646; 428606131; 795721881; 586733817; 553053855; 968270805; 756357406; 222591940; 26828780; 967161859; 742206025; 888148994; 201919302; 254509846; 782091762; 775852971; 617524911; 738387033; 144328247; 310344336; 376249511; 439064374; 365510027; 240779857; 493885253; 338385792; 90885509; 213704418; 562619320; 345059960; 39363953; 337464602; 137736661; 62294997; 796338349; 783259487; 268172090; 290734960; 143651321; 291506499; 119930614; 425298874; 405783720; 827397006; 280952798; 365035644; 537840609; 311960932; 938824288; 841547782; 859014334; 761384436; 703197146; 221802491; 377957155; 66091001; 778816542; 919671958; 752073260; 980728796; 598718777; 362565611; 964268049; 876951153; 688235140; 302875359; 121267261; 103640614; 324005035; 880662808; 696756323; 975840643; 681498581; 718557961; 235742343; 17836141; 530417653; 48023601; 573004009; 182996295; 676654268; 938998913; 853271609; 240328543; 154068467; 625325511; 982037638; 528407320; 794644800; 932133309; 818251209; 922570652; 110122252; 506729464; 422418736; 887075016; 541789378; 19598471; 28360264; 709482803; 746686321; 892286685; 696173058; 500027068; 950457256; 587589132; 681444394; 404526178; 719010178; 984311833; 642038848; 101706727; 525973741; 632787463; 944979537; 178196185; 572131630; 863073323; 738251877; 115457634; 55035144; 105635409; 633812981; 656649089; 15936499; 11764072; 812418475; 981306642; 127142534; 665847441; 919675024; 688816819; 683099687; 432479604; 322494186; 225519854; 67031268; 917579847; 37125386; 101332221; 397665918; 909446297; 755406689; 681879361; 245934828; 634684099; 718610527; 561914191; 932093150; 18252049; 450053499; 878075419; 736573702; 533681523; 88186267; 934301659; 782777655; 886082942; 318556859; 725255679; 559021758; 44254996; 443968864; 675378593; 119447476; 21778450; 291854800; 882426567; 64731038; 375988624; 888352300; 871509704; 133846522; 146970922; 634663994; 822806115; 158227124; 375187455; 984859529; 774463145; 588537622; 526454312; 950248876; 227531909; 816263788; 827840468; 264432596; 429123826; 224415281; 838920005; 299288453; 429522787; 130794148; 953593532; 559551852; 55504780; 260286399; 59695547; 958332469; 543475979; 619470908; 837122160; 432665505; 456330220; 3993715; 624013139; 921429973; 51941239; 805297163; 927463953; 98110645; 280038537; 43664565; 461653845; 543300141; 535644895; 920949048; 503023840; 53889871; 697771441; 506746123; 657516508; 367443102; 360288383; 113581120; 570458998; 341916474; 539998638; 951965255; 846205799; 513162712; 960786918; 1403718; 373625420; 537150204; 111953309; 429163815; 276846758; 341840341; 172741054; 161961803; 61499338; 559615058; 314125942; 969107135; 351351396; 553010481; 778222437; 936929235; 566995818; 427594028; 169947163; 141980999; 872033571; 597607478; 196238449; 816878194; 117884101; 608223089; 771070624; 926273280; 347851497; 31606965; 481687037; 628154135; 154581106; 458551971; 574450600; 542158409; 813656444; 619470733; 624828617; 274549618; 455065242; 571417540; 756752086; 975910662; 621143958; 935287245; 977888139; 680735467; 323187071; 773962868; 133170808; 292443269; 165920123; 314820551; 526721682; 490561586; 520207019; 667753385; 678032735; 596898214; 679881912; 870065454; 446203249; 42705698; 898997407; 206214847; 111091594; 655186413; 281007908; 437535178; 826093615; 52997574; 44753042; 269524530; 96831467; 926656379; 959875347; 444704887; 619955520; 762123407; 687606069; 301661627; 798550580; 206199633; 879519311; 975551740; 345925943; 378011151; 960631807; 729061636; 786870405; 730285790; 330266753; 546651459; 206271894; 781844774; 326229517; 894446699; 325275959; 847402202; 221423494; 821124326; 944018947; 904667253; 908009565; 669396625; 63718657; 975087820; 574112412; 962912827; 70440558; 644829217; 460548471; 193209974; 948558255; 721635220; 97274013; 975075433; 608971439; 435196126; 888753099; 541563251; 969093351; 282374456; 204746408; 842005405; 116795232; 20728703; 456840653; 522456381; 406362678; 885578300; 41364683; 320079166; 733875620; 806517175; 190002189; 562996823; 764198564; 740627659; 725571110; 992623962; 192364969; 278218030; 59010330; 943960310; 512629039; 523078483; 56668074; 58483753; 101624464; 507757720; 847039159; 31629425; 746497240; 774106000; 555615961; 955513388; 453532928; 293122993; 277206415; 493598825; 368637474; 231922950; 675055480; 579136062; 370489035; 41252706; 450128966; 953246486; 732683653; 314292831; 988546792; 596553883; 254601372; 981380413; 571542903; 851463642; 32588950; 422610867; 28900343; 192069687; 303938463; 831602207; 539658790; 353305377; 473853215; 913985564; 152380552; 308130873; 25307299; 693998345; 366464099; 391695752; 532557572; 138713648; 556152737; 790656973; 710109186; 364206053; 674664849; 822085163; 382676409; 620595709; 354861218; 694864931; 280550408; 847900532; 132213121; 745258609; 350385438; 519316917; 11207901; 38665677; 553023093; 980560883; 635096069; 32652272; 549077206; 644370442; 973749829; 630676841; 397353578; 452826387; 750803558; 178315979; 731116338; 969079800; 760809597; 162631423; 272998632; 351723328; 554435729; 380201621; 580246504; 265069862; 237464448; 767698644; 991809432; 986810904; 705889622; 676138971; 770453089; 878494727; 285526528; 879134073; 26844358; 502906871; 227958094; 599530430; 342729222; 1331210; 785978522; 725397184; 729377907; 62870078; 937824146; 42177836; 548132593; 342281685; 619025827; 243601145; 560672769; 163318959; 202526914; 744882865; 412687510; 679597089; 138071491; 300486552; 717060274; 527903140; 683505309; 875152429; 135349404; 980359751; 10764836; 302530764; 274424746; 358042616; 7293391; 163499866; 203507096; 893560302; 952807544; 138736629; 307249060; 460324047; 85297672; 614373042; 766424692; 300939999; 931252605; 151424387; 721749125; 150107678; 561558039; 94383397; 376066659; 290740002; 375309819; 719495852; 64430097; 976164716; 192040469; 380268252; 217496060; 602853755; 411456413; 424656659; 980866341; 450088564; 177080510; 39913537; 747905845; 414597906; 431001830; 250894405; 762407990; 658392023; 262748159; 187028280; 862872761; 154713341; 178868356; 447279610; 437015346; 575585668; 616888469; 378849188; 972151645; 814854290; 863361925; 884834938; 619058476; 874175566; 316359697; 189340701; 79429848; 628710918; 942687912; 959026995; 236155325; 32261839; 70351732; 275236179; 200130268; 608452639; 48140540; 955177646; 594714241; 828778590; 143395881; 630497932; 38034605; 671710954; 591161145; 620196814; 312407522; 135112729; 387887703; 917017720; 325522148; 876489808; 892065727; 31931663; 500115556; 671689192; 757949402; 635320799; 818434240; 338554270; 136445494; 529300820; 493636264; 194571197; 77574346; 852667500; 463745852; 596610104; 359689795; 685103173; 425629062; 842294993; 213404120; 363998377; 367110603; 376787982; 128951841; 221555919; 823925525; 652505270; 311526634; 53439800; 918930317; 679622561; 160457634; 313131314; 104929658; 203048410; 350416130; 291389832; 39314958; 357843861; 32475101; 40760805; 9114052; 989629343; 331292260; 596245605; 885684945; 856323273; 68888479; 786044261; 577132694; 175492809; 9190415; 482209332; 768039876; 510690393; 177395593; 153271046; 203850294; 442038972; 549059995; 325971958; 33221652; 72002094; 412827029; 110571958; 611116511; 238937824; 125000537; 837439677; 510064091; 849609686; 805532487; 493598111; 738264553; 854650429; 806187252; 194171996; 162355734; 983731200; 348139876; 296439424; 54691845; 639286972; 773617997; 617451677; 501364298; 239206148; 526672487; 913741564; 13661078; 448669564; 265590526; 209532980; 724468535; 623550305; 11456371; 166595170; 916498573; 612259237; 226085256; 846326284; 492308761; 145670232; 942833361; 784931315; 805146468; 982177258; 458580572; 844087713; 215705970; 329874481; 317393683; 569117494; 292774450; 504905400; 489034651; 870438461; 341233178; 756776259; 890714239; 635798174; 293943166; 445108862; 639271101; 259129509; 811971984; 410854247; 57558628; 525543198; 895724654; 736974353; 991554719; 131537395; 839041936; 266080741; 323055163; 648292107; 19835942; 471843236; 899129201; 387154054; 430963850; 255614407; 207285686; 525991128; 720880469; 5755070; 832320767; 442130168; 869265201; 989526893; 145681832; 398425167; 657523205; 90468986; 584770244; 200566804; 444218837; 117440460; 764741195; 923571355; 859106784; 550797060; 537569840; 763957570; 798785661; 875557531; 523057936; 767892022; 12510667; 235737205; 317790836; 961897387; 385903487; 665443383; 928840881; 693698995; 682597699; 332093071; 69424227; 790937271; 545830751; 740062508; 767219273; 859254406; 380776773; 444356230; 212606924; 630650416; 653615410; 795481104; 216245689; 969083417; 236557419; 787823275; 455266847; 518638494; 237879276; 582183748; 323813566; 829556308; 185432622; 391749307; 8494490; 807947065; 312003091; 191504753; 886256525; 841449737; 271015340; 882766982; 6016832; 750461297; 21075006; 330677506; 769126951; 982208810; 645876853; 551666298; 56617834; 709725139; 300323861; 741753725; 565539537; 660007432; 326069037; 37406902; 572264048; 72457260; 517135655; 549420464; 959565146; 250764349; 437633677; 449719675; 992955715; 968493444; 771783168; 471273173; 596987836; 234394459; 955233047; 294933140; 650240681; 490974386; 936256865; 40639542; 745838573; 696924259; 509709455; 747907476; 901701693; 25190909; 769742531; 341526885; 641353551; 915002418; 664866205; 541571435; 372334404; 800343824; 806350977; 235463427; 883246636; 959089569; 510531193; 661557615; 195505493; 510815654; 6931602; 382229828; 828359070; 410028929; 449400336; 754132846; 794275389; 62208513; 378748331; 442332539; 83382752; 770642560; 636326372; 57151321; 748816715; 458215020; 277869413; 949729754; 701934019; 673931114; 801055665; 816717809; 920715471; 975696806; 162453901; 826359837; 950538006; 93396432; 129024383; 228429347; 285530655; 512822878; 626295117; 874468415; 556306598; 523730653; 632381055; 471596721; 807821919; 465560209; 625644232; 691263911; 228854930; 486186164; 607980870; 753319057; 926959747; 481723048; 762441505; 917209440; 312838662; 846552557; 209192922; 585569400; 209602178; 640083532; 471719787; 12001475; 595600927; 216850256; 831162544; 638170749; 368010937; 351725728; 220373495; 63396881; 659281384; 826620756; 988682899; 653984385; 236906744; 503850487; 993637358; 640680566; 456866706; 997507472; 299546546; 273045731; 94384440; 362505537; 457372005; 843513037; 715167218; 226550042; 601209048; 951632041; 535063143; 943218653; 525567787; 595571228; 69341515; 709483356; 144255579; 254732918; 247053850; 392590176; 127075455; 931296749; 900678770; 194899005; 531323099; 50307831; 23634310; 465415133; 829154383; 339131156; 300575496; 61162017; 801427742; 344630990; 13557891; 973089209; 101629618; 888750663; 58085587; 116782218; 716181553; 939780727; 649461580; 308389597; 4933099; 299085811; 9564074; 388777525; 132075868; 657627856; 762011191; 190398922; 705164102; 192321813; 581898708; 345810169; 358371737; 332036016; 717564014; 663723752; 821373348; 106277409; 377469631; 654213575; 162162117; 274951884; 269441718; 590787898; 840145087; 885971846; 981175321; 765724574; 962091479; 2926838; 964228116; 697971092; 769795264; 789798141; 337748721; 722101172; 316696131; 287190511; 9657420; 669782911; 298056695; 154898579; 557988367; 457459161; 204394618; 145922351; 85609095; 57270204; 870389433; 144879668; 820343035; 732506250; 718844806; 55889531; 81076946; 406722911; 252035790; 919961902; 601372189; 75792693; 86342765; 547789571; 378077465; 79419696; 685833681; 394099694; 790959774; 295703209; 253796131; 33905460; 931759836; 463913795; 860418500; 947537861; 210646051; 77423826; 396128593; 63595598; 121573738; 104364120; 548861259; 238530871; 438687344; 264140165; 820088402; 952206536; 489220665; 951299503; 249585320; 912272682; 43809245; 348755040; 901784271; 83027637; 599872188; 938097569; 316343587; 10663436; 462989964; 201300935; 831654470; 130561234; 462653233; 594871167; 656489735; 557723944; 356071108; 577664894; 936278815; 434700472; 212590415; 487704781; 926501764; 595745712; 221985048; 709680943; 599508377; 71602008; 821354004; 54137871; 66992083; 856885348; 396797865; 213593436; 7318581; 633589678; 487426685; 977346328; 106767859; 840217505; 3819382; 722913028; 117306121; 9623568; 465888315; 199696802; 582418095; 700809146; 94444910; 85784839; 694420973; 438472155; 190720793; 216113195; 812132654; 410977303; 67132049; 380466500; 651185435; 61535614; 663833479; 383020995; 768111364; 932435842; 634162960; 147788773; 883752425; 891440455; 804045825; 858454359; 801470478; 684837502; 908252695; 557340514; 717883608; 694799281; 869518363; 643272988; 569381614; 366610539; 700623600; 280547313; 184712473; 312195745; 170103548; 86597476; 824245371; 927740837; 88891186; 430723154; 412434106; 860972048; 89367642; 987707294; 819148004; 190506112; 967788421; 180809811; 959878067; 2495558; 794028163; 53231938; 673289386; 142502791; 219462293; 435810100; 579922109; 314040705; 271285339; 357101831; 298910469; 761598806; 477406413; 714416882; 212685498; 798143269; 608813964; 347181212; 50036615; 492005512; 656915369; 994949753; 194319928; 325324864; 123131929; 79362801; 633452640; 569586780; 328807555; 55439112; 756128013; 766312061; 296743114; 187143403; 961210711; 396353587; 894140635; 790359733; 51476334; 986089924; 993387296; 272018898; 684042114; 808408255; 768885670; 476914318; 557037411; 497117004; 994401794; 667766629; 544620503; 705028659; 21850876; 315593519; 38764888; 935518999; 62505126; 148433881; 461176239; 402734365; 123880746; 864161677; 976234724; 331404898; 408941322; 692656988; 193601003; 41231402; 616706722; 458215974; 48781654; 843797673; 331741171; 728814270; 614000399; 181083054; 207685577; 156695349; 620308392; 415749270; 870217429; 517235109; 576118953; 673952869; 728758397; 111678328; 81811103; 707157196; 99730760; 435524581; 364302095; 363830596; 86328278; 746491393; 326362956; 268570487; 473881382; 573144625; 34130654; 241798756; 221661593; 475246372; 784822852; 437797480; 84314389; 433217058; 578999791; 360049769; 678695736; 618427950; 178921363; 831600485; 992685185; 850431218; 326844148; 324378422; 588142463; 385075182; 374361984; 861688495; 338989471; 340300409; 266340440; 200376782; 215854548; 923212486; 447039698; 521543991; 197941775; 723306015; 248035199; 48968472; 353182723; 214526061; 923638638; 270000532; 191765947; 294671668; 815883876; 176667164; 760766010; 201132563; 519619182; 608026474; 632637447; 819887564; 832421049; 608478723; 213858397; 99815688; 596458441; 348003355; 821729361; 403431358; 291995623; 427626035; 111439364; 622568046; 121426529; 204697071; 180654299; 580007845; 78140541; 892333457; 438912170; 844281487; 9569218; 76452938; 952437978; 412465190; 859254583; 904080960; 368045761; 718848389; 686136312; 121085622; 642551652; 177989288; 392997188; 857933904; 78612369; 346474640; 243734658; 256908736; 610242980; 39534363; 985346903; 699118842; 204081148; 52305213; 861204063; 467541940; 606105274; 80143464; 973606614; 261621002; 712036920; 731494073; 312475884; 767114240; 178012715; 531406995; 165480138; 97034107; 894212927; 199334380; 886546003; 697569618; 759359164; 925169314; 785057459; 354443423; 107401290; 463912333; 492540291; 341386658; 300144514; 41073984; 110328927; 876310698; 12530762; 792625971; 3377345; 60376372; 994349223; 790446815; 339814954; 176758533; 233113483; 466290040; 329155198; 159645620; 276206717; 538529399; 453687921; 880444855; 596720783; 400630306; 91614717; 2698100; 276968269; 212555952; 274222418; 554605638; 38917567; 34674526; 877892446; 720205762; 462900957; 250964918; 187203113; 827461746; 203307741; 646872016; 193171356; 212990842; 194381791; 440719117; 633490741; 619274957; 334015810; 485895810; 448924279; 736325457; 619779259; 716876130; 661176747; 940573289; 673519855; 708218056; 37970778; 980082109; 361434683; 567562403; 44563632; 920722999; 623658797; 594542993; 205307277; 741431463; 215207115; 173477543; 889496849; 607677061; 845816492; 284324480; 490248829; 847723799; 853148036; 285534543; 60938848; 976707202; 430127735; 703638250; 409268647; 187152032; 98281134; 272984837; 290434098; 26573434; 574310971; 122248679; 459450009; 154559768; 204607588; 788103938; 187627623; 79944406; 885934071; 959382838; 940122218; 528358235; 228316724; 467092844; 484371158; 4950922; 87838508; 607736080; 10948794; 805754219; 192905155; 793436240; 856998271; 494325045; 873857406; 66378025; 408730227; 189136518; 61493142; 929865721; 924709062; 743826095; 292891888; 805145517; 608448845; 201081812; 410822293; 317680141; 409492553; 888217678; 817416635; 392584648; 265285951; 669933113; 146184809; 796302251; 990079881; 487528828; 634922829; 996457980; 987002037; 332373475; 937191257; 837249583; 292118065; 826732897; 962754365; 273708121; 160204849; 882374686; 619478519; 501291017; 885807650; 35186851; 704007458; 759698792; 937845943; 591955123; 881279695; 732448380; 561301852; 132093927; 912342902; 506290512; 491145499; 614108050; 68626318; 208320892; 493350256; 281264389; 497177563; 360219348; 867045044; 756087413; 733199184; 624606739; 559523432; 270658258; 576794223; 8512397; 891493619; 443840661; 709456857; 262451529; 906025488; 835086971; 466380620; 908543219; 971174960; 828805926; 158396998; 573081832; 762607064; 245536485; 648781260; 221701573; 837223625; 598044595; 628893951; 529198698; 28454686; 836720295; 836628124; 959603692; 582306205; 114764129; 200515729; 756776571; 779857292; 127663976; 190599776; 36469572; 336752272; 411032856; 872264163; 923234662; 659036040; 643857528; 246368093; 18137011; 816512956; 519940543; 279599931; 670786097; 989900993; 582937112; 668246420; 156945432; 60353298; 257355633; 567076580; 928328104; 514239587; 934864954; 798196655; 939236756; 314243232; 238411913; 9287335; 596118744; 748396732; 351026979; 945582044; 710706374; 725609356; 89392976; 158719897; 1719803; 58077915; 269921199; 737852793; 799809615; 146111126; 386627523; 502440911; 484917069; 779027186; 475171165; 574276446; 14420177; 898443122; 565778871; 902794659; 663058127; 981357155; 998484935; 347698453; 396158218; 490011772; 485041657; 872975470; 974663183; 842956850; 378570108; 492204456; 363821193; 815855650; 796858844; 907458902; 78175615; 889623870; 390630408; 727112262; 826117130; 266173806; 665541866; 588113805; 616057664; 432731895; 701912525; 639663835; 242847366; 987831771; 561193457; 700557636; 854934645; 190302811; 943958551; 593635819; 808696176; 691017846; 894209724; 331686985; 761700313; 502027826; 503084945; 611218506; 273842539; 138086485; 475072455; 147768322; 208905080; 424139493; 548312572; 113292786; 934275775; 751997337; 848352959; 82727738; 525076001; 781644640; 811709986; 137074694; 860147050; 135940196; 318064359; 112403588; 395039925; 946136782; 178740872; 990144448; 912031403; 996491461; 852414841; 175096578; 455544189; 892679300; 90028423; 386884146; 551686888; 586054066; 835209094; 309857504; 968112445; 388146850; 658544444; 973038311; 409895236; 510431261; 200753244; 795376580; 634070554; 887877422; 395845053; 125316571; 254112105; 261774283; 198665671; 273259230; 613334230; 374756448; 135132193; 224069552; 457287145; 882407321; 912548733; 320776803; 841827413; 87607810; 247906864; 90060945; 563561653; 370399895; 429776901; 701941272; 591184107; 42242654; 132493494; 623937008; 232848164; 420070816; 826156332; 533892158; 777683866; 937023748; 729327040; 213087697; 579487088; 276626641; 865654665; 831953060; 949939339; 147613666; 402584685; 189908267; 422415770; 537069623; 439248837; 714734960; 924459570; 462569961; 767069690; 496375779; 30983173; 242228375; 637609222; 99414579; 667027794; 996022751; 501271139; 160579950; 474179509; 826536234; 702001658; 754425239; 43530450; 384459162; 417332265; 961106733; 611395100; 758469889; 327478685; 444283296; 828687856; 837106191; 840559285; 762456109; 590754626; 557836673; 236079597; 784853669; 598703855; 573818038; 161509795; 878731108; 203047502; 412457755; 980618319; 648620912; 242752064; 798872539; 68439678; 616531509; 260000359; 209196613; 739766364; 181192032; 861799412; 691331907; 858850117; 819547223; 1150464; 503072638; 961385950; 234470327; 126327052; 811458251; 461907182; 454336128; 194399485; 282859479; 944696443; 827108904; 760747834; 621889337; 826282238; 72173167; 364977054; 404378526; 364248110; 38541217; 752707598; 201297259; 295617150; 200318749; 623021770; 654374411; 401060688; 640659106; 703665912; 23099631; 475593337; 167637597; 354796952; 880881516; 54493414; 871391453; 592035174; 205802088; 369588094; 80609983; 961084515; 402358170; 325639527; 384444135; 402355164; 185265007; 974501033; 748024788; 28348466; 969189465; 737011519; 883277840; 670006494; 854378237; 13595348; 464469788; 326785162; 994951862; 662870853; 798183391; 937457385; 586815286; 256572563; 325381142; 201415253; 808627115; 811335213; 164030385; 74985402; 490691587; 256398830; 297709763; 731018714; 218325505; 515957781; 341129316; 18483616; 506904406; 419634062; 753715202; 278439828; 664414157; 512736228; 904388898; 582163053; 264864284; 202448480; 343435197; 623349965; 139734047; 786675232; 306427434; 115004998; 128815247; 478725100; 726561050; 564876212; 865340235; 256330592; 906938975; 207257099; 909474104; 427725038; 876397589; 461778263; 398272123; 519708990; 820787611; 169591777; 411206678; 830491677; 384832047; 750619726; 84921906; 989580692; 136211437; 944475446; 463577202; 812696165; 365126295; 320148460; 75442925; 320211549; 605994281; 21121370; 18455898; 541907606; 473556068; 818271436; 71392326; 339929728; 209146888; 899531083; 540187946; 164553653; 110563327; 399400884; 929664856; 984801855; 326932244; 407317520; 863233774; 881097195; 547952339; 555476900; 120429515; 930589563; 941207173; 331007092; 682892182; 864487690; 914593391; 380469773; 446403517; 475796453; 140684554; 925969229; 529341059; 133984475; 974499274; 544670559; 717405384; 815624352; 830973477; 153406905; 961617048; 541025477; 682536729; 249398452; 287454500; 915446546; 605701521; 491038151; 977198156; 361453718; 909373408; 627258541; 121942134; 959862407; 221844451; 451702838; 389276718; 454782350; 764209895; 738649481; 317549110; 828065931; 929048218; 247641522; 729417194; 991649535; 230773381; 140341084; 450917085; 312555269; 445150842; 879541685; 907620015; 995211279; 283997856; 553074165; 447928676; 703373344; 761263441; 74556710; 875141401; 170631529; 124702563; 720760139; 873060984; 905856839; 626942643; 328096154; 578565260; 847247395; 40064030; 776948629; 991408394; 131159218; 321789864; 710114948; 745128436; 985090031; 424388426; 887945089; 417485025; 454791575; 500564606; 827187127; 581207589; 367126440; 692209013; 408178531; 894936016; 945998614; 604312759; 788265136; 73501957; 135835043; 279457641; 194912394; 725057256; 990923061; 262809143; 301364168; 906377207; 523454826; 984175409; 249908287; 629779263; 75396703; 256934153; 516947537; 469729236; 552998754; 85178820; 124032170; 302668082; 666225148; 572281347; 689848055; 170408227; 811081317; 135824530; 842477307; 152921565; 273113096; 600221913; 414407528; 721570262; 503595930; 705159982; 869752973; 171416692; 691371308; 812178743; 624326102; 874690508; 600426913; 636927211; 856147295; 825935870; 73228144; 517478151; 819771796; 267042650; 340553411; 175756278; 108785274; 545158226; 126060584; 331208625; 804860822; 862384582; 29715076; 447480380; 489160954; 446055858; 924403529; 414733762; 224535012; 318489280; 688959557; 241000029; 590815791; 97627841; 275623132; 692095564; 936954806; 157825252; 424749232; 937376723; 65064405; 297063734; 513089529; 201978937; 155395404; 597019352; 451288900; 308835371; 785137110; 154537272; 24620718; 604489017; 620018880; 228170582; 262687193; 732820010; 475623308; 913033906; 203605132; 960821337; 255787579; 10324819; 772676424; 151372633; 191613175; 727199129; 851180641; 698102224; 277480386; 795379362; 516011658; 395866303; 214820297; 802230932; 790519922; 41919061; 980060671; 119679994; 764228445; 174144078; 716413604; 209054142; 896831530; 204341498; 421457619; 744750697; 943620883; 99187646; 195977921; 195948876; 757868233; 562041684; 890548077; 733605630; 215650371; 110632204; 140655374; 145866191; 518895193; 459736305; 5929870; 875521827; 346984959; 939473614; 469661700; 511213033; 371211082; 100241111; 425428675; 553402119; 771791394; 621055817; 75915210; 730749612; 682954708; 440164260; 219380166; 224257133; 700177965; 786350904; 252902183; 229506582; 701591093; 260396561; 437980844; 336575059; 778994146; 203670354; 423483327; 376572797; 442557469; 694762130; 680425984; 687246810; 13005729; 712135452; 180417531; 838409874; 845728988; 199235178; 59485630; 307998968; 330570690; 980963434; 912604296; 814143911; 911613969; 800234982; 301288706; 971092076; 957030074; 994674869; 625804951; 449040462; 666128341; 724769778; 171335809; 880630599; 159203076; 888980883; 610317538; 260070264; 940756685; 580393587; 112725065; 166607433; 337176444; 915866806; 941286898; 438446140; 923211262; 473290563; 25878594; 53726486; 423247441; 937022638; 876552170; 737494062; 984339467; 105775429; 73065143; 73420661; 254951229; 386406945; 73040070; 665091333; 214177010; 140429170; 234396864; 383495955; 613561973; 838984843; 409504019; 815517891; 849147413; 662259145; 337904637; 816384562; 325863910; 426019015; 276961187; 990303403; 534560241; 82909948; 392594836; 966339906; 948108675; 163415919; 149939167; 168505784; 147295257; 664315696; 711045969; 962614784; 7620934; 980502662; 496169581; 967042967; 955855276; 241571387; 361589807; 94705725; 731916655; 788350004; 390079877; 804896091; 809261850; 307265441; 593303548; 647100827; 54558400; 317997854; 791028838; 201732727; 450907070; 866554185; 279483418; 788014264; 57823610; 376130992; 208252442; 708564937; 990357966; 288046223; 424832959; 189686605; 815280648; 632141298; 608439751; 262236797; 356814321; 109838100; 620269543; 292281029; 442360584; 723347572; 722048276; 592692246; 175093639; 808220122; 364550114; 597556582; 15749580; 529256512; 187046352; 121362450; 388786701; 979671005; 465697245; 313541667; 806946897; 263095189; 290486403; 166407225; 935160232; 846239735; 41563869; 178010614; 719583817; 544833681; 820855128; 596813480; 704959710; 948970464; 70177618; 511348315; 472238188; 781825253; 484699019; 952680148; 530380815; 784195274; 764174682; 798600043; 592204235; 75434209; 8166141; 279553787; 168628972; 496394971; 527994783; 517543395; 252321046; 70654741; 758024840; 397794498; 118477889; 262790772; 550909888; 460915142; 986420838; 663747166; 191816127; 628796262; 182271625; 105275084; 83062125; 163369005; 595655502; 293026738; 98762035; 238460353; 511446978; 78013361; 121149664; 8624808; 777372166; 937094406; 265154926; 776401982; 505051390; 960470907; 928631876; 482919208; 673057777; 301472925; 353044291; 959448843; 812560663; 419169589; 354268800; 36225700; 183682663; 879233542; 123242291; 342271862; 736094280; 474662938; 886804353; 811514801; 779942955; 936492211; 968011092; 975341777; 533159823; 11028927; 957016887; 364152833; 410120908; 484859671; 248309442; 863679106; 995848376; 474790902; 636567171; 689255752; 70197333; 793206309; 312390730; 438710270; 721807456; 930970811; 340750026; 445169718; 313214919; 672530893; 994447906; 381761552; 978406474; 384426562; 991634751; 523333505; 958039852; 287727146; 536021526; 810550187; 925739515; 694527843; 423750730; 909442920; 36198203; 253146788; 937894034; 242635101; 831967116; 329453632; 745371161; 524915006; 72759092; 693926200; 150259532; 347939158; 231996580; 160477260; 941243793; 380627186; 271955842; 575370896; 987636384; 426629340; 25879733; 320035163; 382972405; 641084022; 521031142; 265572986; 371500459; 686098916; 355059274; 987999867; 238843928; 935805799; 171002473; 378353913; 69554730; 193661460; 121276124; 610209803; 34706888; 909089001; 852307480; 693845268; 737174719; 198369388; 531191200; 509544861; 399304458; 222551477; 482766165; 285540185; 163983640; 685645614; 783581675; 94192008; 555585878; 609125050; 890861612; 454582197; 202351129; 144357638; 453101193; 82015663; 112237510; 940237360; 936627570; 647766505; 179382300; 565573395; 276235559; 369477425; 11536170; 289133646; 53179888; 555867705; 621685090; 132678771; 659014200; 597154346; 209887307; 267466858; 725189737; 534192288; 126028606; 41825736; 866780785; 170612318; 750987079; 811912981; 744446211; 70989612; 436351830; 44790994; 801518956; 417772089; 525498542; 494526693; 396278405; 119827726; 974008868; 591534822; 891443299; 882518835; 42400532; 104092878; 337630936; 338417657; 270461677; 844429103; 225297400; 591598172; 952575799; 733240170; 724937523; 657274519; 123901276; 646950796; 735679546; 839961026; 700312898; 653860830; 585583792; 328157176; 283396066; 986514154; 693439811; 999215414; 167472749; 854274588; 949957342; 415336511; 819001566; 908394123; 417651874; 309194216; 129186881; 969656294; 728384208; 911266969; 503679563; 123602829; 265023951; 660044170; 4397939; 964412931; 341631254; 307752164; 443994280; 901595004; 864338333; 97957216; 668228879; 997528186; 615954398; 215185205; 569197319; 848686284; 442808693; 186829782; 209639441; 790584676; 825938374; 879787114; 774035953; 212980350; 42543816; 552198307; 585331367; 502947143; 752342796; 650644375; 957027723; 973149231; 749777072; 175852964; 639509670; 379598690; 394973536; 93626233; 408760948; 179667960; 686757982; 705691062; 989903145; 764254713; 274635998; 121131501; 356921592; 305388958; 162559039; 372312087; 709988602; 112668206; 490591262; 794105981; 518899912; 331042842; 970758861; 197297252; 390364636; 85166700; 349411492; 698540766; 413061136; 993272933; 786381318; 343894922; 20917284; 4162469; 818986811; 788392271; 343864149; 49813590; 854778573; 577329127; 212290533; 582017931; 181499940; 718292918; 976197912; 653388167; 607129045; 7339064; 225240018; 485774889; 86942900; 328392154; 479547052; 772380189; 475228221; 847088734; 14313225; 575692530; 90328446; 763361740; 171004488; 709335576; 400612011; 99914507; 51609070; 62520579; 319803593; 714094857; 123215178; 477615656; 16209250; 199351999; 538780836; 561036744; 107923232; 523998792; 166330927; 853896866; 381803422; 531229335; 728074918; 689573684; 907573007; 590581884; 916711217; 95609844; 129410712; 56584327; 959503064; 957056750; 174215174; 744459038; 628985450; 544700981; 256370856; 274085016; 569969065; 80965709; 570140769; 278915121; 384090535; 908985961; 495909709; 899372711; 798393288; 634366113; 367735202; 222448367; 351845737; 954035471; 983250113; 820438584; 42704652; 653660836; 812552967; 657742693; 792480327; 753678477; 263812641; 154229201; 496536597; 999420510; 299597162; 364773715; 211490008; 21104206; 310972890; 186942321; 757251207; 812453231; 663833786; 922407489; 59946741; 564704393; 126756380; 685616429; 893601589; 736990521; 400966741; 116627896; 112251287; 358147473; 656532732; 341659779; 781811635; 496072654; 84594744; 834210672; 774323215; 286979415; 236179242; 497487631; 986294165; 606264334; 581344411; 604436841; 89367990; 183301355; 735670029; 428543862; 505296770; 785706692; 234715939; 277162883; 32222492; 18460317; 271996127; 799991118; 760150530; 269722520; 146813081; 926958666; 951859911; 503574939; 195066606; 804553622; 215936770; 918069808; 378537540; 798837642; 425180116; 165197802; 499316498; 22168589; 185500076; 508722878; 889723976; 908263988; 139195262; 606246954; 657755291; 315325647; 228660461; 927778893; 773886452; 439856948; 162230151; 879081064; 101925670; 524899845; 354342522; 133025868; 108866469; 121189181; 270276064; 969560216; 722147931; 313498007; 719133170; 624863408; 938930036; 536249581; 425190927; 272648950; 434021221; 387834573; 292316946; 274994692; 507311664; 570350651; 195366142; 485475398; 442659745; 471245125; 706289563; 654688224; 271869745; 209340773; 706623957; 567840485; 616912489; 167930641; 303686752; 367962771; 350789032; 80236200; 488932009; 964321600; 927976838; 81006556; 774412764; 160244233; 471356767; 991797103; 666297061; 416998448; 934599153; 595460050; 776591390; 257742904; 808988958; 693050843; 103653544; 128413832; 354563702; 462954621; 195328082; 359138347; 441836915; 957489681; 796564917; 846676910; 540525398; 513848662; 997378051; 228900217; 171561307; 884494259; 721353654; 167291613; 123767666; 215668879; 729854390; 397159915; 5679327; 91757280; 460993580; 758892395; 63364111; 208641496; 970003687; 634189428; 430341582; 744490912; 968857586; 949030417; 553839150; 216345426; 782160216; 792328776; 395705944; 866853155; 286856891; 52236982; 297869558; 201704212; 642231314; 334898280; 455213838; 232079102; 352590943; 178636650; 535975629; 82298428; 646038502; 502890869; 706507039; 474355858; 378367492; 535213711; 116407579; 319484256; 720767517; 246535744; 149382399; 917995160; 670775554; 681126581; 954512373; 797491622; 604082172; 729862161; 511091348; 100672983; 385805541; 762425255; 256157537; 931194850; 560295789; 722837799; 328350201; 354399213; 92596021; 587112390; 810973259; 938371616; 329036152; 46203198; 11616611; 21259407; 692061430; 750532131; 105217242; 726942756; 514312248; 941080895; 335716006; 907162999; 246758021; 552082575; 75297184; 709313219; 695892239; 580985617; 426368424; 824466468; 170874326; 903685463; 174693086; 947539186; 37396746; 101157192; 662256145; 260992070; 622977927; 968943493; 901178788; 862455773; 76973103; 433756078; 68125774; 825843489; 329407402; 955478178; 600573316; 479181475; 453581187; 595941271; 433304677; 56378151; 633487342; 494755687; 493647493; 702660394; 836942765; 920512286; 969629067; 708496326; 976141398; 673631482; 481578887; 745001298; 228865290; 492279631; 902358953; 665644545; 357636002; 407896753; 399474653; 957377649; 720649709; 312245988; 726258976; 655544170; 656631691; 923978810; 525496169; 583172968; 278704317; 266763811; 868822416; 289935922; 413678974; 742915793; 625366611; 417987874; 154357619; 378033914; 586283498; 821889053; 545559974; 299862341; 386532046; 239241952; 856158621; 887565736; 934086935; 495469834; 804782016; 300335237; 253522125; 516950612; 191703017; 690509366; 389966439; 774017734; 305822339; 43597842; 28146425; 840223154; 40448111; 762009308; 964358276; 776198924; 676125809; 405387575; 889967028; 958667358; 239935066; 89479564; 685958360; 367961757; 811350539; 630777525; 568511668; 374273340; 283463622; 781474126; 211086524; 390712317; 40869657; 253756557; 626884512; 113319930; 428770206; 516517849; 182327581; 258051145; 751062164; 453021476; 209763508; 935194281; 20060535; 60414480; 177719930; 884271211; 109869739; 209653092; 708260; 385501635; 886535262; 867463132; 978581191; 598943712; 805049182; 260627808; 163405322; 286408763; 743219258; 128122552; 534875474; 54629670; 649512062; 279312123; 402845103; 359140116; 372800395; 539408118; 137486651; 66594538; 648677736; 249037799; 352003761; 805983648; 855661793; 838101977; 966584215; 254313752; 707375407; 179607649; 200880027; 143531642; 715758635; 114842541; 777971516; 533948872; 853579446; 237192132; 399153048; 253078883; 786767054; 621974218; 661204384; 384911236; 186524396; 694187772; 41970709; 919169660; 864282142; 239421868; 339161732; 516488567; 519958019; 528531659; 61409824; 173364939; 182203345; 98940850; 349373260; 856604823; 916497458; 674392523; 282236000; 713833160; 462506977; 708401279; 694659673; 579465778; 13682218; 535394141; 727635635; 54414410; 80052747; 921974647; 988265240; 641338878; 857810302; 877310557; 543762279; 680159043; 828170042; 248374536; 996825065; 914358257; 483572020; 872306412; 102228516; 363830363; 199715027; 483424229; 681246862; 358050989; 739865461; 729474664; 687499309; 83883873; 619888911; 63919509; 89580931; 986969515; 880180653; 782124246; 772211624; 926728556; 750498195; 960907109; 468747481; 582459775; 194419538; 593745981; 107572772; 453139383; 858102731; 73196554; 642796804; 739325068; 736678254; 424960581; 80889136; 943870697; 117909597; 964629010; 540697635; 854314233; 136923569; 923459171; 964763093; 139833097; 808367725; 824353455; 188538504; 507976604; 887012128; 455119635; 284572309; 583753838; 378567908; 40274501; 271766003; 709663162; 350727677; 415386190; 456743571; 367387199; 80759919; 259383170; 547971560; 325695832; 428876929; 722090305; 492455680; 369959056; 663461364; 180943918; 927920824; 958017640; 57607853; 569509347; 116227148; 579311918; 864362565; 369474601; 615265190; 10288847; 251052525; 876303943; 193318381; 393265834; 780360005; 854401549; 889920065; 814928908; 892193817; 935735418; 878590351; 746315093; 664023130; 929215657; 712351016; 139546212; 205397901; 458050712; 724796747; 9881699; 36003408; 517835809; 381185336; 436786129; 533180198; 542553241; 471298520; 848299852; 941739321; 115719311; 914530382; 795361160; 988057911; 530273205; 511801399; 938922843; 716481221; 896904800; 542110113; 400475008; 772598967; 962724510; 778504679; 895860878; 715570724; 657062446; 557913851; 332375012; 710161345; 437115597; 778865076; 891746056; 301495540; 968423949; 982231830; 509654458; 420687400; 520397609; 592358099; 345820764; 883737198; 684728911; 196012538; 929423939; 266041472; 203595711; 303278580; 536587286; 186641062; 689276880; 711843897; 69385283; 786573587; 151243040; 940899730; 154270385; 507704474; 655133128; 546175456; 790601309; 484502229; 342591236; 115725530; 675141648; 933513489; 195412461; 33284616; 559571005; 330088016; 681807694; 215489036; 276630185; 318633981; 473747201; 5890801; 367430025; 990203628; 482638487; 880277518; 757334763; 835918336; 463648647; 573354787; 310731880; 542362672; 609456683; 624315036; 30367523; 561258876; 976008579; 451264498; 637525413; 654094145; 859258865; 330674929; 949234116; 911831688; 396631776; 305845421; 875418685; 660443533; 170079267; 197271500; 896952110; 218035953; 373722107; 176882676; 179875131; 792713209; 907300979; 351836111; 665322090; 426080727; 557077245; 122952213; 834475237; 630623172; 188734328; 35610417; 283155016; 649073326; 135972305; 202028472; 528968016; 318104437; 779481509; 34235204; 500529349; 385362030; 928509185; 184816722; 476677263; 921949041; 658523635; 439872785; 645597630; 210965006; 937870322; 283047652; 334222466; 15757041; 744118288; 377465833; 12445159; 58467670; 972894210; 548857504; 451306700; 216926386; 473106473; 121624855; 520660155; 232353639; 300385241; 818452051; 721507323; 257346264; 933631541; 437734302; 433006708; 115722054; 309992116; 683901974; 530969488; 575938556; 71796861; 432986593; 133094722; 975020293; 666387762; 221730377; 799402032; 438180688; 310390850; 244770169; 371527436; 444463680; 912982892; 670785103; 65732576; 990656124; 659263839; 58192336; 247116856; 944799334; 58685830; 461556911; 809867551; 736153959; 941822068; 196906842; 398447758; 146111551; 681271638; 711745479; 903672505; 612893310; 893406661; 442568961; 868135642; 204264014; 270742220; 693535504; 272463798; 419541703; 990125512; 47649036; 995664098; 424885982; 126875588; 102094765; 485836019; 684175303; 204043001; 653456205; 248596608; 451351765; 79730793; 761383720; 309108407; 989012460; 188000877; 772836066; 45027618; 68760502; 757395029; 46885137; 437613817; 336367813; 813885235; 901206600; 886136046; 229779095; 891209406; 204971276; 136003383; 113707337; 367269602; 56234599; 428472518; 481084472; 340172985; 931208691; 795779068; 859420339; 122621829; 703661822; 234375734; 799563149; 833391187; 567767346; 20891410; 533372525; 165931429; 960668568; 488410580; 758431447; 374747576; 299825383; 560616134; 381575079; 371450078; 960444484; 318488581; 126541428; 388556068; 902565104; 708149762; 602082201; 668915994; 184030685; 607343436; 588063337; 278810564; 570227758; 203403527; 663861439; 204924938; 364449939; 514403442; 367144138; 434299640; 971931913; 737842781; 107971338; 462669375; 946145057; 543401997; 543657975; 726106279; 672368443; 250340852; 123303840; 369581598; 621165906; 845401109; 509261301; 525379199; 349790107; 473201407; 588311524; 556034306; 278655301; 124368382; 605176024; 509218708; 101147878; 515068372; 147246394; 371116300; 843912590; 752657612; 778569830; 817957199; 979453570; 465411058; 213807931; 487681542; 304816351; 595871843; 378417567; 821739500; 436357133; 332040925; 699082862; 723101268; 357818742; 385027562; 72448155; 9426366; 53449665; 377338294; 983906464; 900128180; 665928022; 449572779; 122009240; 362529297; 756596544; 475888523; 141972648; 259820516; 447433920; 99879154; 788710288; 875698851; 745695174; 48899240; 20189679; 605540793; 132615570; 430511160; 363742760; 998270835; 140199943; 588168152; 826739812; 562511712; 485204670; 624524396; 502472205; 557134465; 190451554; 889046148; 792943058; 624804443; 967528804; 31491341; 540156648; 823581440; 532008436; 840033593; 745764517; 832299653; 76079889; 702740912; 226594493; 536192981; 706575619; 608206918; 216668130; 506786228; 997880007; 438376534; 742050043; 148943874; 264888049; 601719026; 268447298; 933806462; 998123340; 808283301; 331836330; 222421613; 913500248; 170019784; 687155346; 778733630; 97940580; 517088522; 190242075; 887682906; 747710093; 499042930; 745041228; 885044095; 111822895; 456592942; 858849654; 821323179; 519900669; 196055786; 92576367; 687135986; 177719954; 430330440; 141348772; 114567453; 518703000; 54540544; 152125693; 82548652; 35697320; 132459448; 595227510; 503568801; 907755; 939470459; 742360673; 804854641; 250892542; 257764185; 988638727; 305560289; 830750018; 267997696; 480470986; 816447015; 35613210; 973655637; 262829702; 680757480; 970823635; 486587761; 21146520; 118649308; 99749580; 259699796; 90679265; 291503336; 15469292; 745348150; 982044677; 1177114; 64484920; 959690296; 928130942; 421395413; 931730894; 677520010; 685550958; 125092725; 950249646; 380302096; 79533380; 599098826; 178350661; 924822628; 177408891; 544799990; 595540777; 491914245; 674571438; 635853884; 955868785; 980759056; 803184353; 515510975; 758508810; 338169920; 272293457; 1544045; 219251485; 604376101; 865324164; 659828884; 889483907; 742772053; 986149420; 532204187; 66164191; 712175026; 248054315; 846579805; 79137520; 145656303; 454769853; 66760724; 350810002; 602616804; 874720011; 843459401; 500102309; 621818043; 671679008; 435778088; 974184418; 537710360; 397806782; 601295491; 406823846; 102123720; 874137648; 964315143; 425878915; 380601196; 757014150; 468062964; 449809805; 61475284; 437151921; 892333200; 295853524; 755784950; 473502580; 582447599; 178527685; 621225413; 909699458; 982036677; 851382779; 608001085; 986290945; 147654185; 982722044; 615506010; 468228796; 110852254; 51576746; 469871799; 691423098; 790177557; 469584804; 450787906; 291737697; 150723020; 899374535; 131539979; 123670081; 682224816; 254438757; 811637070; 355446783; 733924224; 2310157; 662000513; 584713932; 107049950; 804894839; 953102208; 539143966; 614823394; 753356414; 388564083; 491029560; 314942459; 836879766; 234519757; 822674687; 676750325; 451393208; 559789790; 226696490; 156859937; 61268552; 665437415; 217324070; 382844115; 719644950; 863935623; 832174860; 66265682; 408913511; 301624803; 108698918; 796408132; 555773377; 498877490; 283746741; 176624017; 17317757; 337157761; 674230233; 255924396; 85037055; 764462217; 364221237; 700756109; 317029786; 804325112; 382428615; 543678781; 628212109; 172279690; 616412781; 184740260; 445454218; 35748665; 308373504; 403806371; 910772887; 508289327; 948315401; 614407265; 442443691; 602745783; 718564968; 983511598; 576086311; 245665947; 948595855; 888629378; 736701290; 483104740; 540699597; 131022426; 909681416; 106257394; 7507747; 883529380; 286254270; 862316551; 810144884; 817312181; 953535949; 214848160; 174474070; 349394021; 188614549; 199324084; 968395396; 363748716; 814272093; 426447544; 461185348; 392279401; 525341782; 708597489; 512289730; 874064448; 198576013; 551070237; 327980630; 369253736; 494732228; 763006062; 655231210; 766990531; 624407768; 260087797; 149428995; 442793232; 830096897; 453224997; 75979337; 825169843; 52572231; 189526942; 32248548; 605044421; 163746587; 250276278; 750637380; 30050616; 449928117; 695446487; 960640988; 400470825; 996049280; 719355502; 332729485; 977345417; 541831822; 227456297; 97872329; 296082599; 70911513; 242531336; 899255100; 299665544; 123152539; 800780041; 300499151; 17234694; 93545057; 633951216; 841615832; 635428601; 359133739; 421571058; 310398552; 723044270; 170045986; 761472497; 680837441; 843623585; 413035879; 912501955; 291934777; 496011478; 544872418; 995799807; 916513660; 689643591; 974460670; 711978457; 784288472; 17520541; 602259454; 996784306; 126554430; 495475184; 546386102; 918184064; 935243398; 746585929; 605860071; 218346665; 111093999; 104928935; 726464760; 295795629; 351894703; 941236363; 626689993; 144232765; 232425296; 146929936; 927322090; 483251745; 960669780; 737704027; 701495845; 312475057; 1615781; 966282581; 256638242; 475057140; 507374803; 840142422; 968105862; 663868801; 745882387; 606275217; 559958078; 96984052; 57142272; 815702652; 40182356; 994718218; 779643195; 365351960; 743400523; 194215994; 138294111; 637952740; 951594365; 534604750; 552643304; 739114338; 953857779; 288801960; 658487189; 334144414; 571355966; 280361034; 64693972; 90548086; 955624619; 387515384; 357584602; 523815377; 876577485; 684941544; 194853520; 519636506; 737645295; 349387639; 125932529; 246699010; 237641122; 649975687; 511421175; 328139546; 56178882; 659980645; 962704899; 443272199; 846861677; 141693182; 796615676; 253461330; 62162780; 396032488; 615736785; 268053776; 654970531; 54534761; 180999714; 520446347; 427954409; 331431219; 711641493; 603072311; 149107918; 979334989; 705115334; 530612748; 88143785; 28843252; 792888842; 137589101; 623787781; 375477319; 221209197; 267341032; 667950012; 611625448; 67885028; 339195132; 687261245; 1599387; 659374924; 827645797; 940881963; 654819982; 403024857; 650924657; 777222728; 394361903; 491267974; 152961708; 502304869; 14387873; 111690445; 625069964; 950849925; 616223560; 746312872; 327605933; 48211900; 149407121; 598665792; 319636868; 417858298; 143800720; 437245342; 326508948; 685265451; 88935845; 856740257; 633517489; 138494265; 562284320; 496281201; 903192654; 469464658; 529721006; 899977730; 495530646; 751799467; 961640740; 889483112; 169705660; 529072383; 437476570; 65110952; 736887177; 336872129; 223229677; 950220161; 567781903; 108876178; 801907681; 189860094; 93820508; 11261840; 333924624; 88853935; 187595603; 358401350; 348342871; 493375571; 730688088; 111408861; 220493930; 930821006; 352551214; 769173970; 363356766; 949293492; 663290646; 430434241; 934442424; 516018724; 718334738; 16080964; 552545294; 586648411; 35369517; 45955824; 546503811; 178095178; 53518691; 270289508; 405036189; 275699776; 166491856; 798071196; 656778448; 362953862; 43616866; 71709781; 412708908; 638948052; 331237108; 383432163; 286023412; 133963484; 469796059; 511908793; 946537192; 900780057; 595888679; 416159579; 119543155; 177162293; 867265305; 645171813; 946316992; 909059283; 914814032; 743216292; 316736819; 159355148; 663508686; 783030256; 946899545; 821213414; 420267383; 393470923; 280888559; 990871878; 241350123; 311665373; 243345662; 116137987; 749380753; 945377675; 173854494; 634448983; 847664974; 863686262; 748649297; 712073281; 969066110; 17656665; 718746022; 686700678; 84223914; 875149189; 357691471; 742860807; 717165597; 965221004; 308788878; 836628298; 872063664; 326622608; 713991127; 467097591; 389244605; 576329451; 384984457; 627058696; 282044112; 358348316; 119903774; 678076172; 875892281; 292988619; 471145855; 874635784; 690831021; 536011185; 61842282; 55984841; 255313910; 21633367; 294610215; 935221413; 498238262; 585405783; 237765412; 899986986; 695876464; 415392126; 273430946; 53773510; 26149799; 650082571; 927078726; 19228640; 451381423; 560289483; 940529082; 428501190; 340315082; 507923841; 498032659; 836050854; 815920962; 571059817; 424987106; 185547053; 381849835; 570526863; 180955112; 850806883; 845442115; 689614330; 195444339; 307495168; 226230219; 879041419; 436892018; 629323820; 429571247; 2005431; 623088843; 440468740; 973852281; 765827108; 696926861; 432442461; 99227490; 677254696; 977152834; 254338962; 749229; 50141898; 601955169; 348035003; 907927559; 842497506; 45669545; 403972998; 382345180; 862320111; 71458826; 499357965; 368848352; 383206665; 400750628; 904964744; 458211660; 35208087; 41514642; 806921399; 956918911; 74517698; 775151423; 195708998; 464305048; 586319253; 695990456; 272191302; 934759869; 838841552; 886860995; 953088139; 981036412; 643019348; 644187430; 475176369; 709522978; 435562650; 393905129; 115301629; 42461115; 995806369; 393742457; 233957003; 634294668; 671256724; 581855273; 197487355; 378455300; 268445185; 612965455; 601983783; 250847145; 407427879; 47661763; 807203944; 187607103; 133019848; 322902794; 687613475; 781621001; 264447509; 679595511; 557202808; 725016213; 421550471; 46086906; 973832923; 131872133; 48262013; 81154059; 931388246; 2488276; 681210857; 707861157; 789428928; 746159608; 685680822; 267915538; 404486747; 338854071; 613194767; 876993837; 987763822; 149341488; 940652119; 536766406; 252688994; 638579902; 359114209; 77828797; 543814004; 198429455; 965602927; 866585787; 535373446; 85523636; 667471333; 803469703; 357999071; 465318218; 620582637; 599432336; 129743687; 960762026; 856207448; 32984659; 176281546; 779461689; 768350350; 50367821; 89564945; 366021990; 164097647; 459402427; 139250993; 593196199; 965957450; 751415505; 535381840; 419969016; 194880719; 576035025; 167649765; 67748459; 779983033; 128373536; 570744043; 549446195; 143228318; 541980313; 464333185; 243137620; 110154564; 179875796; 164202130; 97802556; 823758519; 432651005; 196302407; 66565107; 196458440; 3201610; 446658; 535286357; 746070465; 10814587; 108414447; 722166439; 970021076; 253809874; 310574235; 5822878; 600347458; 554357879; 834416065; 935189980; 963486683; 485321472; 98042754; 651700002; 453339055; 347938737; 173925671; 468474463; 809232005; 191643914; 566399626; 162758840; 670276583; 827265964; 174004048; 433062554; 808524482; 222513836; 532167290; 360564496; 769928691; 797620197; 824155065; 388777; 71007442; 506883838; 563291030; 352031059; 824803229; 539282210; 193164515; 189512352; 837262768; 210246031; 17678486; 519941500; 811001622; 142452300; 248610074; 174527128; 217949010; 796613211; 887308530; 377110042; 241206706; 273387813; 838818424; 657687027; 224802816; 24896262; 852620075; 939196582; 285549434; 890029624; 53042820; 779957626; 101248220; 732155084; 896906221; 695790986; 665447874; 572694482; 480813741; 784242740; 301161205; 300810236; 28243374; 111453978; 445469049; 336530590; 855976067; 895346461; 288524683; 661445371; 276611686; 687649606; 923840952; 6698953; 96276914; 197355023; 209849241; 330677273; 856768813; 362695948; 893284970; 444728750; 726145181; 244881883; 281009951; 529018553; 935827323; 363059764; 825464094; 82061511; 70054430; 811640504; 640852654; 964360175; 626407045; 75449007; 958103008; 114716958; 867395283; 325845736; 191897746; 498556300; 747992850; 670180491; 511570331; 167025985; 4385650; 281023033; 78938448; 732289270; 994676831; 460178875; 585075749; 659640600; 473123211; 384011986; 494854497; 259455661; 70597317; 458415606; 863102639; 178635756; 134953631; 924014673; 715871521; 429243165; 693546101; 146417511; 837923242; 719275835; 216959381; 216732424; 707086543; 262559105; 752130810; 303886466; 529916472; 938437581; 165746988; 576115151; 193914653; 217564832; 547535259; 169776360; 401674725; 422530721; 180491859; 938144888; 40035954; 279832950; 662235723; 716073403; 359986749; 859131963; 121745326; 461257090; 609718101; 414827292; 86103216; 2681433; 149307394; 806800296; 993341736; 938747282; 641504171; 757851639; 473947441; 685471928; 235973887; 277425662; 514714668; 653746228; 505796036; 170522441; 748720104; 214176378; 862963405; 253934875; 372259462; 496271067; 149208016; 255990068; 35620838; 408441115; 304505441; 862918157; 433751626; 261059379; 215878209; 669305764; 763825600; 529695460; 174476643; 143751394; 912127531; 722647815; 649758036; 653654754; 140650120; 555947591; 427106504; 838007690; 377297397; 284327015; 722050673; 283098430; 854243356; 488305417; 74461752; 15010803; 725149420; 614445485; 959550012; 76873762; 742883454; 43823524; 809713026; 234643734; 69028747; 26033435; 285046044; 400500155; 456863249; 316304521; 523267711; 711962542; 996479151; 947249260; 2216268; 111570039; 906586131; 876437542; 84906249; 432807043; 846820701; 515498573; 952787021; 63638955; 714526015; 863238254; 155796602; 16522862; 602024414; 6332892; 219382169; 924639934; 238682351; 950453473; 535559040; 52429990; 199399202; 482815644; 697929640; 117656527; 133150630; 770878826; 787131145; 576732310; 135378759; 588414052; 752207234; 50392475; 767022377; 594001584; 997585870; 346599472; 610548899; 983784705; 343144743; 492481682; 758491243; 778390804; 262456915; 855390828; 88043154; 592118165; 276571930; 824870295; 972054120; 682425755; 570866261; 239094726; 886034404; 593868826; 885582334; 934465191; 672727839; 600989338; 491151662; 238242567; 821520239; 705578188; 474024065; 253038307; 286323487; 215983593; 877677357; 49295443; 119657665; 682163618; 377923045; 677334500; 721064768; 135248077; 326163360; 788156832; 319761500; 796904155; 143353188; 603461863; 409152673; 736490702; 973555810; 753649814; 43547228; 170430754; 598836839; 670437507; 250924187; 293012218; 609078557; 352479657; 386028718; 411826614; 696411471; 269150518; 712451467; 987828344; 516659756; 420115960; 584779015; 687929523; 497758719; 215033438; 654319988; 679851583; 939875904; 306599669; 775585536; 92505780; 584977696; 668331137; 248952992; 531604760; 35985106; 123965089; 9470483; 482485115; 561383165; 573724953; 92681107; 545913429; 66804044; 315875511; 700968797; 829397608; 549648691; 323356577; 941649790; 371983855; 111122625; 570714476; 44331211; 54554824; 679996420; 634520679; 672318168; 741719323; 190954241; 915024030; 951948173; 109417503; 64965207; 725050789; 860977465; 38444411; 327028150; 682829078; 85029570; 356109546; 662412516; 546218886; 495527633; 159425444; 396824883; 787336129; 837697965; 228290379; 444542543; 63733047; 614025845; 738964111; 81474850; 957654637; 630111012; 248201054; 484882594; 912847904; 188791526; 995403366; 100481323; 173468099; 564385354; 421106755; 288796411; 52197514; 583899222; 963013876; 976506220; 300338080; 606268824; 172169165; 670422827; 325918558; 289245738; 461929082; 975983339; 929240235; 651476200; 868260105; 274781169; 119251766; 971397026; 173902595; 495699857; 552992311; 674064163; 815212002; 812927258; 785977279; 82448657; 275482542; 139194238; 273897708; 220177990; 903120102; 545055358; 786863883; 618417053; 418900585; 979721531; 626913285; 58050742; 806349324; 985735515; 439829172; 485513827; 300930458; 444166664; 954433827; 178599027; 596160530; 397893721; 907701552; 826671380; 165906512; 955862217; 881910640; 865128420; 572795532; 565103470; 509704708; 212909438; 864117140; 963886601; 673381742; 317764852; 451412512; 489623601; 801502227; 309719431; 267295633; 385583903; 531563988; 835819410; 795829143; 960071238; 575655498; 508730252; 526663767; 789443226; 221193743; 902525043; 195640753; 125712797; 990467904; 507683374; 850882115; 964995216; 550324955; 248286543; 779951988; 220389794; 767268915; 611625991; 772918214; 650068458; 406270936; 602323631; 855189994; 693997687; 50673117; 834282228; 8753233; 283100408; 78029415; 898128398; 304633674; 358473901; 57671675; 749067650; 910397244; 448649256; 525099093; 139507871; 923022332; 529483924; 67074431; 130802898; 65349084; 302670392; 327039423; 978233221; 147007938; 817929485; 516899116; 728003903; 300930476; 216333745; 864173842; 205616293; 139125181; 710710067; 838627828; 516540334; 503517745; 372343184; 172057950; 149035861; 587931537; 164109657; 242511342; 412462730; 86622825; 283744303; 692370883; 289422107; 613269068; 514398255; 155067362; 604172565; 917274572; 818422869; 993423004; 763699999; 757748318; 101029667; 856217183; 213630193; 469392143; 571518168; 265022416; 900028283; 732078412; 70567897; 194271437; 897569702; 537905845; 129538105; 363834821; 776695001; 359440608; 179731329; 677420254; 45235722; 471542153; 395771141; 847744685; 162347048; 903629513; 644645020; 622104177; 774417672; 396141822; 610075265; 939968385; 121637040; 833545718; 919029984; 77610459; 964490234; 721924959; 32319928; 120229011; 490902809; 35517493; 640177779; 15121853; 954000294; 308599485; 406475164; 74840343; 870300643; 160422124; 186036411; 965436221; 697753632; 810078601; 302595334; 352013999; 971605423; 338971933; 950021383; 74876201; 959943537; 743915562; 793390837; 648922537; 551448333; 37088447; 113499323; 668322968; 426594033; 387066623; 180772673; 475630157; 338238578; 692314349; 845103411; 375885404; 250092144; 566026469; 341773124; 869501419; 630825638; 24110724; 615982710; 540370913; 598589888; 682972503; 403228289; 826871596; 265852877; 330266945; 893639800; 835257865; 304282458; 185741033; 38504583; 750995036; 687124971; 328210072; 234899376; 956070838; 582697103; 587748946; 127391936; 682869259; 19715392; 373409659; 586664469; 905797514; 401841322; 56334065; 938861306; 768419381; 934563527; 611490014; 506837974; 451529935; 50300541; 990993227; 768793350; 532157092; 196197824; 352337641; 423946703; 416925199; 585833590; 368833582; 881713229; 292992520; 662877758; 59080594; 25746956; 845002585; 924958928; 317144121; 176969397; 247228579; 173168645; 791111055; 189408174; 661765805; 105345267; 410741195; 545984664; 256921855; 655544555; 295381500; 742983089; 336911528; 154187345; 912819488; 349368157; 97690182; 96285936; 74464974; 145489168; 260159897; 690891866; 463940099; 950826241; 804035758; 789185726; 583067834; 511545513; 173198802; 886685794; 681522156; 213770927; 193877128; 647528509; 255150220; 421034243; 970894556; 461104050; 854672675; 373231146; 350908572; 771058363; 551682333; 277530860; 705279888; 952861901; 1211247; 470239554; 277858274; 943974561; 914261766; 931077601; 927309949; 849511488; 207458701; 776004679; 257440861; 962418285; 907641543; 245571629; 135753935; 529259158; 421663170; 71919489; 614027682; 348106639; 630803740; 432913598; 160097566; 219457023; 776508056; 291697076; 259424745; 768623679; 216655972; 708859358; 530682078; 987316804; 404289670; 595771990; 273249854; 149508777; 71203155; 713398475; 456081375; 303563851; 568499333; 512672065; 126334413; 526460970; 107472442; 282244778; 286699057; 493932218; 638782210; 581816903; 85489105; 586774856; 61015758; 175092101; 610242223; 747420776; 433804131; 704111182; 877148573; 828413359; 878855602; 236053006; 528097269; 549830212; 40446500; 968171859; 520288333; 364535660; 670637272; 942580850; 921544501; 933220856; 81463433; 43185921; 598808143; 991247398; 675616963; 121981235; 544714909; 139811264; 41023675; 761625127; 68785290; 807462665; 197550272; 912354198; 336234010; 417973084; 235963409; 218269206; 482510992; 463526224; 566497699; 760142121; 354976953; 310435389; 426613866; 263680237; 593937351; 651363402; 262293544; 630005736; 786703585; 106299577; 795230207; 194539670; 685159617; 401609024; 181881831; 352555717; 922716031; 570858267; 806242878; 812129441; 222107408; 360697000; 558054193; 21436340; 948919304; 697060931; 989922595; 681676498; 348869101; 441978495; 334004427; 520438573; 785080058; 426714772; 998594121; 801715878; 972879838; 499765065; 532975907; 195758070; 524827730; 54312099; 916014577; 283165590; 632632405; 387395759; 324287623; 54824509; 573536864; 57353798; 209875643; 426084184; 925087136; 42692571; 6650096; 306463962; 34446374; 767565696; 178681459; 333265872; 91522023; 216598488; 472146999; 582102230; 598610788; 182048444; 508068765; 145737535; 704528729; 870495174; 934776368; 329614827; 23012401; 965551426; 897220575; 374105702; 320263014; 274295201; 230639616; 188839359; 890154924; 313160252; 636826981; 131228866; 885295815; 664327081; 550235625; 375648927; 815746154; 464965031; 429421500; 539186954; 439885812; 511454366; 504433086; 555198486; 755623548; 393278516; 759572176; 607833230; 513895677; 877521004; 681219745; 343635221; 386343738; 977102889; 325262577; 17993467; 606414710; 839532889; 911345769; 71756176; 214775276; 730531370; 54906386; 630000297; 618227693; 813516432; 363456354; 308104732; 321109476; 509652459; 73006029; 663643709; 258951009; 339882378; 773251714; 21449291; 628476369; 273267766; 580747328; 332830190; 94694005; 42625129; 695810238; 982658846; 452169270; 771035190; 80348571; 970848545; 943937097; 172033751; 404147378; 598904764; 700531095; 498868754; 990973349; 920066862; 697683496; 684534059; 423812465; 902806807; 119737717; 317774775; 806637443; 278977696; 656114106; 238512840; 972942001; 207219752; 334304093; 455306696; 610295863; 727306850; 808936321; 570495328; 673996006; 461035961; 35419530; 666694411; 8915842; 247010638; 462682664; 185861822; 518878490; 561311016; 677364809; 602499003; 267734192; 295464341; 932361458; 432406011; 152050684; 810656616; 906665410; 373706812; 706021905; 472200363; 551936608; 738440243; 718917302; 879742445; 145664089; 302646953; 678778845; 669414652; 128470741; 810504842; 836406042; 275671104; 677222252; 476771535; 75605489; 456514787; 659976885; 897186774; 159830068; 252165668; 661463448; 833738531; 748408836; 967689765; 160996808; 258894979; 134902748; 141406993; 999549179; 295680690; 37364322; 461802718; 613307824; 25915497; 807742944; 969000624; 598802119; 955333451; 401378382; 996925028; 625023668; 63687356; 143548413; 123022123; 939817474; 120579160; 995315922; 825854458; 40040733; 177297158; 359523621; 930324004; 311243667; 273253182; 500240862; 415359577; 343957461; 229955628; 741653321; 14852651; 966344628; 271824675; 469693809; 5149787; 364877273; 301276125; 333402205; 193756479; 419268118; 831962580; 306005446; 623331456; 833451008; 999753943; 783636348; 502851451; 599279850; 157673463; 841647244; 390116362; 597113055; 820433541; 577626231; 478294830; 862025047; 880576630; 712888600; 956629282; 560666556; 488399244; 630842028; 416202879; 514763102; 346993185; 860569085; 15159589; 251576652; 512544842; 91277033; 452746644; 144055838; 796549630; 792218317; 921367904; 22283631; 83511829; 460262265; 92890194; 407751621; 926248355; 656973959; 224305582; 708462908; 54249591; 141249158; 542920927; 372844671; 726343485; 120182961; 253579215; 835188894; 804982035; 852554602; 297387066; 431489385; 940123946; 77480950; 150153886; 422171524; 860915944; 326571987; 944674406; 538880698; 843894316; 839228755; 179771471; 296114554; 790843952; 192161924; 31965220; 549902800; 960419534; 631810756; 150561352; 932490722; 19333608; 542801445; 567997712; 453003730; 637026843; 941564233; 937717388; 939985904; 489597812; 205505017; 102309919; 27295311; 273362; 272563062; 484149234; 818311710; 223959504; 809354207; 804119995; 246172532; 265869025; 99133031; 374921714; 163207745; 489591905; 810750399; 607156417; 849954472; 973654990; 948819596; 625398874; 662690282; 402685107; 235415646; 418858014; 138180681; 936895810; 570176381; 26083764; 203925185; 538110543; 876355868; 883587553; 134908497; 719379389; 667022154; 486425006; 335408331; 788308144; 894059036; 51527537; 498602301; 528500128; 57744710; 942133279; 647808629; 695337403; 935506697; 948444733; 608644392; 251504617; 657959214; 185749779; 478559906; 578700841; 528393427; 448473148; 438443714; 602311556; 322057259; 102347929; 708417538; 349451108; 254554389; 468121385; 759261194; 412764398; 96601336; 420736120; 403617916; 401094440; 102315181; 796367858; 623311337; 896211180; 625301335; 502546306; 130095747; 317807298; 94427687; 186827229; 413048933; 32955665; 737693023; 331576603; 52689892; 229298106; 961912845; 885781864; 736043641; 738400410; 236849640; 562291464; 935310324; 239501664; 804348972; 652386669; 963293609; 356835413; 388392649; 634534617; 472083001; 196854789; 858389750; 550345022; 351825780; 304032438; 682846558; 906068384; 724834434; 78777153; 632056677; 165576795; 484112060; 147354515; 109496742; 687073201; 359890602; 556864513; 280188803; 56653780; 446300063; 104382015; 237456354; 541009387; 713838788; 559202635; 263469117; 789593477; 2095614; 423359851; 950453795; 762299530; 140963918; 32780864; 679550611; 352996115; 635271416; 58865372; 418570133; 406790259; 775629350; 13259964; 474536354; 175188052; 298393001; 639074935; 886018249; 261709592; 433616958; 552521566; 87752439; 514838568; 444150628; 969129265; 887186703; 660814723; 395727927; 495380359; 281401758; 787853229; 685333935; 5961968; 157858285; 970260075; 792614898; 798099129; 394082473; 124930359; 224121619; 167368066; 59148776; 258492924; 828587897; 474657976; 805104696; 489979878; 625572930; 661453802; 458330439; 747234705; 909365899; 426254228; 191340513; 358761486; 622740553; 42717430; 13921711; 169843959; 182714393; 955482942; 119006396; 716859585; 988115266; 667505526; 886169039; 296305317; 981409067; 101433410; 811649487; 609937209; 414418039; 680080242; 350372501; 638963062; 195937516; 493895941; 370051303; 994620595; 582866158; 67403394; 773626884; 238950242; 87658721; 788673616; 262801302; 753992616; 186330807; 429591360; 586447961; 448015769; 820093601; 871257915; 867708937; 416456599; 115399936; 922531855; 887574762; 63219024; 267634563; 184444772; 219282774; 883528963; 306104732; 79757304; 723269864; 297381020; 120949259; 941404265; 203394324; 860655544; 346146867; 496518746; 58467521; 66174328; 997249750; 782614143; 816383203; 38962891; 158981961; 461683704; 604977094; 243240696; 27632052; 905949848; 180433771; 118575662; 712509222; 668803908; 356018628; 908780317; 415938424; 894253181; 522824388; 80097598; 889932597; 203372524; 188097818; 758252500; 454998072; 373499714; 835841273; 744212856; 533426439; 66467752; 193233673; 27000985; 632311651; 789177693; 486667041; 623283304; 20224792; 625800385; 292137521; 992011589; 516102356; 540288283; 349869252; 444212112; 942848737; 451648307; 801508809; 23958115; 562266820; 218460485; 892535071; 68588872; 516346239; 814389511; 363423269; 857324123; 872051618; 514039322; 714514153; 982754707; 256289202; 537596373; 698379334; 661911286; 943035873; 551689034; 840274948; 777004458; 686891791; 12294014; 25159363; 149301485; 181418948; 780010779; 240298898; 113084395; 119881372; 444567148; 837021901; 19233892; 146205200; 117441236; 502237451; 78226946; 227008585; 657617521; 963621185; 598565971; 942338263; 827492389; 331979260; 491224743; 381476224; 701307700; 685708526; 43686461; 869066266; 659059766; 225705045; 766069548; 595366506; 436958688; 726299501; 484768942; 392641774; 88385794; 121972007; 809398722; 166682363; 533760973; 136463117; 686012076; 78386700; 499915456; 65539718; 98193575; 288475792; 157783755; 123089510; 352585259; 566137124; 471321494; 915397211; 723292632; 742384780; 100172555; 2170546; 789949857; 231001010; 883483282; 147021419; 129163034; 955615962; 387446532; 275400542; 439929978; 498287771; 18013327; 99611627; 653282021; 191820948; 443190813; 905014679; 312684136; 691477968; 683742433; 544089261; 240820413; 858192038; 117341222; 769483562; 774823388; 713978978; 545639566; 1771860; 21811138; 938109714; 560636146; 89203414; 124310202; 107345839; 472314257; 963502926; 427625322; 85182965; 158548081; 274380448; 587819665; 481303508; 388112487; 898234900; 673045889; 172810915; 228946981; 375786282; 903074792; 170911985; 172980656; 87433783; 710485478; 483790135; 702623127; 625288684; 546255041; 736791130; 118382762; 456580340; 365918582; 904730345; 660301045; 619201000; 729474348; 420097430; 217085295; 850196933; 813856130; 830907803; 736863591; 979885141; 173441798; 624426868; 545662404; 660854329; 175739727; 491157904; 169381707; 82970671; 365028521; 366743118; 842638748; 264784950; 523184378; 974746210; 326158570; 569710445; 755728649; 337104683; 227400241; 150898954; 295795680; 355157612; 385401396; 111310571; 912497574; 452183070; 903040968; 217699069; 526987891; 806717032; 931053772; 248863603; 682794052; 171256474; 378549178; 615562593; 809762140; 805466618; 141825038; 526979985; 338416207; 360993164; 318430138; 66272017; 2766514; 999584573; 307485011; 853915777; 786610238; 951423816; 41149376; 455652602; 598588375; 36637626; 33805783; 286873857; 991912968; 249809541; 940893357; 419563656; 453104978; 629634667; 73726548; 689144132; 3998450; 987314851; 9662926; 91566174; 974443021; 251138294; 896671208; 829679653; 85905223; 790364296; 124254188; 738359941; 68919431; 295849133; 612580467; 141292897; 148015843; 77690465; 856183035; 647834414; 378746687; 446316372; 521083937; 111799567; 231818269; 772968068; 89902031; 702771150; 795982028; 721747455; 194195464; 707332576; 554480021; 209039795; 394631398; 878770138; 381916241; 499866439; 125480542; 802558199; 76703296; 98271946; 588347834; 231969734; 158962589; 388564173; 693812259; 172021812; 362975332; 187541013; 462933580; 896520962; 223083416; 673750726; 767872906; 235938610; 284939400; 968742952; 862992390; 863078473; 771316761; 90415195; 700643622; 194982208; 471712911; 127719718; 387325985; 109371523; 57078602; 495800335; 450892203; 65269250; 601824139; 981634218; 510886063; 122832505; 183225102; 330212607; 480805120; 644392610; 912032142; 996556912; 206657277; 687397090; 158278423; 693207487; 223352443; 507203382; 854214325; 100540844; 782739174; 302605993; 340127369; 938203229; 670839825; 443451717; 829138699; 259071; 709583895; 862050272; 930741611; 897273166; 75348557; 278248563; 928270259; 288247062; 280968733; 805342105; 309665265; 427246159; 4289700; 333239587; 703297452; 994589968; 249506791; 552727355; 87251505; 55599758; 881733228; 424056630; 560526125; 843870099; 594057085; 123566753; 499728536; 452326098; 373616585; 62833286; 323731511; 392520425; 651302492; 530391026; 543037763; 316036568; 287761227; 844675711; 540947202; 995114280; 628645434; 859758183; 465224867; 636030202; 1539441; 451491317; 227645732; 977024284; 759619546; 887551781; 464547107; 216822526; 404841888; 807658172; 558543551; 763924652; 63368742; 451222588; 611067056; 79540602; 655033263; 190443181; 288792060; 109838701; 396903152; 308162276; 270040632; 169578101; 737074394; 831780773; 240135821; 748388385; 167134710; 124064962; 228498825; 730392983; 816226864; 543878744; 963384194; 312536100; 741071998; 566621292; 820609066; 397815264; 425175324; 440811132; 995865224; 91678454; 216227569; 816004889; 829346862; 461100891; 720403097; 752741609; 257261186; 838934528; 557669742; 636588899; 690688240; 58809903; 841926599; 60418296; 404377303; 237087484; 660556860; 955232865; 612999528; 840103916; 156360668; 526373298; 160659228; 123318377; 949239724; 113341615; 827014106; 583009273; 202083140; 753956451; 353813457; 57595737; 389930087; 593790434; 691756113; 26630498; 439977053; 188394177; 553812535; 444789586; 131422042; 969035371; 583201273; 340878488; 700666180; 130789595; 350828448; 572366636; 631159150; 190433613; 503048782; 996551535; 647647110; 110879795; 612564742; 309859062; 411994558; 621321861; 230578455; 291249717; 108024663; 749181218; 528028734; 579667194; 208520026; 811710912; 124030938; 607506859; 362418936; 272726275; 865058886; 55555063; 668738689; 591363306; 776113029; 311918818; 181004298; 265645169; 979953227; 29142851; 716379920; 827603008; 190220883; 788025372; 396731733; 920209311; 689912336; 327584574; 309071470; 418687926; 152079856; 843816642; 240250397; 309806922; 662548623; 60869125; 94867079; 776922816; 414863324; 730990381; 149896807; 883511927; 436077063; 85710604; 249531086; 168200317; 205196849; 209846358; 911819191; 169821830; 140879863; 475783566; 514693215; 624120236; 695661517; 463147869; 258489213; 970384113; 80592558; 863185756; 338505938; 581081640; 560234890; 752068360; 794523358; 345585813; 799888553; 149712738; 656066943; 138607213; 832146481; 649289753; 88131706; 111498012; 99092792; 92153476; 226618152; 872827188; 605299938; 533288758; 195124375; 903617409; 720441389; 619921301; 653087829; 660384155; 808472452; 535093885; 61743370; 915598481; 677953198; 66708794; 907598526; 623010390; 259769456; 438109705; 935980436; 170690977; 113311683; 622077484; 461341263; 903452258; 903826930; 135166704; 361994604; 740321788; 697224732; 350080183; 627266168; 368807326; 549284997; 438268425; 917175813; 602660850; 996366802; 620550639; 785128439; 74574882; 422882265; 378646700; 513869969; 283937334; 613939238; 74065474; 142948436; 407366968; 431648652; 881294781; 797191104; 674591305; 900878810; 401130590; 766864304; 481897276; 198217441; 852136474; 481178773; 662399245; 837059521; 671171774; 641898469; 868847127; 695988179; 152971851; 505204311; 903862744; 887208251; 452303861; 255501246; 829599685; 743646673; 795763532; 933986916; 276961909; 460311086; 724342224; 60155044; 346446918; 95818779; 488116996; 503258131; 700308788; 250198895; 605871008; 293394331; 31788838; 914273586; 48992704; 746276682; 830494687; 950994197; 549651480; 169209092; 614357427; 623217976; 206909789; 660294311; 800761960; 803595244; 563212220; 877414205; 334824088; 129612967; 31319702; 517277614; 971450625; 40549884; 418302764; 975921886; 494110414; 428501681; 100458862; 297970288; 796975028; 931840328; 710854942; 943725745; 355498282; 437876873; 595898068; 590738419; 628468209; 413713772; 294104914; 608617142; 17330788; 501590819; 970269472; 812135352; 47996991; 791325981; 50813179; 480143653; 665919450; 542089691; 422259713; 20469006; 810631489; 816177254; 272800407; 196065156; 9864814; 347187840; 412773939; 752665877; 167342234; 711837372; 10372310; 913919197; 199000834; 52010775; 21149421; 404997467; 532338011; 368067294; 189821398; 626822515; 936094756; 72456398; 998090956; 846860488; 670190959; 732966308; 762177563; 984326850; 127068431; 861398365; 898026869; 456728101; 161028580; 609993830; 814329303; 721015200; 691288967; 400622132; 636913793; 5418253; 878347907; 75256556; 339631562; 128047869; 219939217; 856722242; 392341701; 198573721; 128296963; 946968941; 640177087; 572642068; 63010919; 361497801; 288897874; 191300965; 410933620; 630686982; 766283577; 289111996; 437001075; 984351013; 657759562; 38076518; 32386262; 198655624; 945199294; 264818333; 642138350; 858301119; 532791158; 114552945; 215469982; 975998634; 633206488; 211990855; 107059507; 353654794; 155786842; 815948486; 415376950; 476463705; 960592603; 867756672; 305946890; 739448470; 739530858; 706232997; 619705099; 677677380; 285712183; 903068449; 760852172; 792383952; 161195864; 184276951; 266531901; 949155693; 731257509; 631310392; 817272334; 346860929; 480940439; 512365216; 859283350; 151116933; 104391363; 185703611; 774436183; 179987559; 727207807; 62375412; 632745460; 610592494; 353952291; 708143009; 548785222; 741529982; 8126400; 53457455; 365889985; 33220315; 108885474; 192072112; 567479726; 446156043; 736307692; 551945514; 757136940; 193701970; 524017529; 272770802; 847563540; 137893944; 164772817; 73311874; 463184305; 605561995; 72460209; 299477051; 309359622; 67660247; 752632625; 406350412; 641578674; 380601277; 279381620; 222136007; 567401191; 102775792; 839912879; 817307586; 524336918; 203710404; 733260492; 309216013; 979709197; 839340849; 924511647; 731218291; 483077581; 652732288; 662441820; 135562132; 719477130; 967508955; 11081394; 79140850; 379680911; 545517760; 655357313; 541191762; 237786502; 551052556; 272953852; 303775637; 170764772; 553341236; 648308294; 368813375; 943813144; 942749452; 726434784; 368486001; 114342567; 891309178; 511066998; 816861374; 87881401; 277168568; 132347043; 779102686; 326733124; 318240520; 694561747; 819143510; 454555783; 456963001; 231010281; 671456290; 413680218; 55004740; 124299147; 763765718; 655623497; 30513945; 760016232; 776035128; 687033325; 639705659; 239878248; 209222146; 189347140; 761781249; 552031923; 35143196; 815872965; 429074409; 890259595; 712309485; 933780447; 948030009; 765830083; 489377762; 977210883; 228169112; 245726169; 78289682; 998239478; 43225300; 821924168; 117078931; 630627631; 695649483; 672114695; 818700928; 16605382; 435583074; 97567064; 30905827; 710450012; 401194320; 825686399; 707599091; 162068943; 88240498; 403348990; 402717876; 35577349; 52282356; 186402623; 496401056; 843877507; 94657396; 497655354; 97535851; 776779690; 789429817; 492947846; 652496805; 627858703; 164622770; 111093910; 796445609; 801664942; 704403607; 156835611; 366332183; 174390670; 161540643; 83571668; 238365638; 323406626; 974883043; 336159096; 532893127; 614079202; 137859971; 715910366; 43709408; 501887149; 741713207; 821882784; 315964741; 697600687; 232799126; 877210255; 429470291; 510677121; 223583435; 749593789; 649686131; 724585654; 478878889; 221702698; 754240087; 578353168; 351094952; 8947826; 305636452; 759739584; 644093734; 89857020; 951056098; 275115697; 332185559; 513376910; 992967798; 906221426; 788703245; 209969047; 222807489; 113338578; 41873753; 263367409; 91902892; 529577237; 657212092; 966339895; 777659357; 361452870; 220157222; 495100976; 58435367; 359263756; 903336137; 588770160; 945083277; 604725980; 330253763; 688294281; 418997820; 16746734; 102090671; 51718713; 125735780; 218541398; 908647834; 423141054; 553267784; 883171904; 856969963; 549224047; 757662839; 211670728; 553604472; 686555071; 490142339; 948371243; 977280039; 406374265; 422489130; 635153204; 799067464; 958923809; 263648636; 986388315; 341184045; 839384672; 754699667; 197895152; 613291260; 180145033; 882365979; 535607248; 298318195; 212058628; 721497066; 722051660; 220330170; 247858939; 742508154; 64571907; 581520866; 303972505; 543529071; 103478606; 945415427; 203174953; 290396436; 572046687; 715536963; 646509874; 159562010; 749890118; 847150617; 745380773; 874536993; 740888242; 582672159; 572525206; 223006034; 837007827; 933090002; 911627279; 502652088; 799430881; 627487933; 677280310; 175562453; 445714182; 221862512; 960820176; 613527486; 931489259; 466566184; 134319200; 466523228; 70940554; 565504657; 385480621; 291171862; 891220796; 353872983; 6472955; 381455450; 13374229; 635540518; 470105967; 232900844; 196707179; 719790938; 549061269; 793882793; 883460563; 635932393; 495007780; 886089547; 845503936; 431310449; 363660363; 973133937; 384868068; 550732572; 355239404; 163417121; 327193713; 223214408; 718091879; 881870883; 384689677; 101074665; 813385507; 659645981; 361465422; 657346814; 52882712; 207857782; 119633633; 397764051; 969311866; 415835287; 549409625; 927964416; 662168518; 670872118; 613048140; 682589623; 514378573; 327231281; 978860422; 321461298; 88208944; 31854494; 550849653; 454157907; 547896687; 469127023; 763372642; 596340589; 962881315; 858202250; 241885188; 592685193; 483497617; 268565483; 921386708; 381385138; 993970140; 147976534; 552230865; 352844518; 950516472; 347669413; 688088616; 810273864; 46075398; 848099773; 331613322; 551938035; 922406835; 777768177; 882798274; 486335911; 909292973; 256831147; 644994126; 150547995; 288370795; 323795663; 108742265; 453149073; 912532352; 15582072; 542098727; 800502675; 544882890; 26501794; 349426998; 49633702; 568923524; 491756306; 104857663; 462931562; 286692666; 477256230; 514175190; 787063840; 221154006; 261952541; 660711329; 397456899; 981818417; 530128147; 528257350; 963119957; 380377420; 686809808; 132144647; 528985910; 822294053; 616751510; 342510535; 542964752; 953736559; 313493164; 606887229; 911292; 661263553; 317923504; 150918173; 953725773; 362959048; 728509806; 653017803; 557664301; 394839285; 564024321; 704009062; 582571207; 210773563; 934715457; 217651160; 146271867; 175351431; 734103732; 619211915; 788609505; 966641330; 664196629; 88484452; 4375848; 264242203; 283978763; 83505158; 129465938; 995387596; 673405066; 911938491; 848086590; 312531131; 231829372; 534010781; 208109621; 934747745; 59758280; 861199006; 292364283; 422301545; 170556456; 982043871; 461717221; 923602512; 439408812; 554739754; 322796482; 602385737; 606130602; 803857160; 184414665; 331495691; 115086127; 473735814; 720760173; 865176005; 911883067; 739298005; 710288379; 824096197; 208072427; 882631896; 909755613; 158794979; 561655918; 239980500; 294709389; 859781803; 386790038; 236223300; 117115216; 133665300; 627007489; 862633710; 949048873; 305030016; 491724165; 27711678; 663042318; 856215328; 322408442; 240477405; 571620355; 570994377; 519959176; 222186849; 586598305; 196850282; 89750964; 256459655; 742976209; 26407404; 238815112; 726482896; 26355249; 310573384; 196809673; 532263838; 19124291; 794786340; 769165130; 41163052; 913648000; 799429256; 123697854; 897390823; 97875423; 185273922; 141443839; 219477736; 469243930; 995093812; 579215653; 65184158; 21448310; 193287709; 746956323; 24277780; 919064137; 910732439; 561660236; 830485783; 126349456; 434520385; 301911573; 536666991; 176665085; 400954491; 978235065; 371380724; 348013368; 259798936; 327489424; 111043722; 314249202; 222824710; 728307409; 270371251; 75183573; 154614057; 510711750; 782148192; 635853480; 301575301; 530572053; 345524638; 437031322; 752844285; 988264720; 305379142; 891520954; 768977588; 358878989; 389180951; 861964780; 798867116; 393911788; 21750507; 2233747; 531158231; 541881482; 442255072; 575213953; 828578790; 67894413; 256710500; 785265036; 403538256; 59202696; 989532536; 394166965; 837938694; 576886567; 617846895; 410323912; 807527372; 895741629; 386416813; 449271395; 373633647; 727394498; 347734284; 12223382; 287148315; 67155248; 669491060; 912542072; 888119566; 55675429; 17359237; 29359169; 778123732; 669850475; 784249755; 898534023; 747242469; 975754501; 355261389; 98103520; 38885553; 888991824; 567438991; 539767105; 741520318; 217905171; 938406910; 960444514; 991012863; 887743765; 935872850; 123954930; 277260410; 757880475; 622227102; 748936696; 119120740; 296073344; 890727352; 510793528; 72710488; 518483154; 388362322; 875867656; 934948443; 149838834; 473598381; 52607866; 197134941; 900372787; 918542323; 959804948; 887071515; 396721017; 126255377; 910945082; 75320725; 757075137; 738945772; 477074789; 73043753; 277156626; 242124511; 353796082; 405966230; 907579650; 559454138; 401850903; 289320501; 580367026; 956423402; 383334128; 158486392; 217962084; 100351542; 627266404; 30158315; 852741828; 38685779; 359487251; 177384403; 744300229; 648044924; 757211372; 608618902; 709949274; 774431650; 50030624; 882837771; 845662011; 884149917; 886509289; 828776883; 349835217; 304493295; 280532931; 937781840; 653830358; 761388380; 79857414; 466954147; 791394412; 161927485; 883185226; 637460453; 368855267; 895727304; 414455204; 511026749; 41992615; 751131197; 865454175; 915612067; 95439329; 956801634; 564580135; 493670196; 243576528; 592912467; 965327208; 722836392; 669703383; 808506599; 397074674; 776575936; 673595131; 260697013; 401493934; 965560807; 788173731; 921330088; 60084730; 420687211; 798036709; 210645326; 306179972; 134004315; 518908306; 34104910; 800684544; 784291119; 59398704; 917164084; 792699705; 301163631; 776747883; 757977528; 121460391; 473587570; 430795729; 965445788; 841403811; 258923773; 232207692; 573968501; 149786305; 29281179; 363984292; 869045797; 826023315; 741425895; 636061738; 546546035; 133785744; 859079739; 764042548; 802354412; 7432871; 924757157; 787578336; 130791650; 380832386; 824853418; 527345636; 702825644; 19195472; 311714088; 999987183; 386352721; 453561610; 101405884; 217794774; 554227798; 386223742; 741247177; 184234488; 773042155; 746730418; 201656162; 512238163; 860004682; 621676168; 612563329; 188960352; 561690139; 795381960; 580975369; 994515448; 651406105; 806319080; 393287282; 661901674; 222246555; 390430152; 173701513; 916012551; 691757183; 325832846; 127859073; 77872131; 415439568; 950209196; 107539137; 292216862; 159134497; 262734923; 842321712; 810558124; 123338743; 228572778; 73877527; 725207314; 449781771; 126136370; 493209802; 122191830; 461055221; 927307682; 942103589; 836864296; 812494051; 480006228; 574368423; 147487189; 200368795; 397629089; 749894799; 847407093; 526401691; 825137320; 343542092; 630964770; 149337816; 487677948; 323312911; 605057304; 49685560; 658159751; 135388919; 269778034; 335019398; 915906471; 615455978; 908037049; 370613706; 292456318; 95153823; 936746655; 664101642; 134551675; 786283958; 397480237; 489957991; 883429052; 58148192; 163724705; 556646778; 487127893; 873950753; 240118459; 76709311; 488294905; 857245484; 470151377; 457636272; 460342131; 18970678; 52579061; 365270712; 30121069; 69510073; 63464735; 675868929; 519290240; 372968085; 810208216; 35902803; 354531635; 718478917; 739384972; 895309457; 122291699; 149801531; 623433839; 109100382; 913795799; 579443123; 145554883; 67064978; 454360307; 761766713; 767821127; 245084073; 639831264; 633911214; 684592466; 662829613; 168689615; 514097300; 864575192; 127492807; 569210589; 200969789; 672989948; 157298037; 260121378; 372535162; 740500173; 614399997; 209756398; 437751939; 70216461; 919377953; 636868159; 611647266; 739038802; 669791722; 634968912; 523782817; 246466077; 781550689; 857862514; 631765108; 934618139; 134911091; 499986181; 332933853; 2388202; 904314823; 101576934; 268142918; 714357650; 500498285; 789553540; 869948508; 15119601; 349671566; 460592097; 731229268; 460440625; 504433141; 410121050; 206614040; 784817524; 280328026; 990661188; 71293396; 546741534; 916159385; 467920599; 479239690; 855221442; 734003225; 900522521; 448119365; 15952230; 884236467; 720282520; 95559146; 709555077; 38023111; 425258929; 667852763; 150857760; 543192919; 216650584; 996932464; 563404211; 387183590; 376064719; 675186704; 925467917; 518477309; 25254100; 87610164; 339483852; 950492746; 687035064; 95929345; 336516408; 552108397; 872071614; 287025798; 573827221; 349418062; 861236277; 610803084; 93914624; 807727386; 511962918; 118127131; 750516545; 504773742; 698088723; 254015423; 439580051; 865594893; 369591351; 505457839; 909161793; 125802968; 648238587; 620163057; 752240302; 208371000; 554672907; 908923113; 691208646; 680150642; 982569843; 272565607; 220474013; 289257773; 831036036; 478234772; 904839538; 883351484; 243935493; 435045332; 67885304; 599614988; 567628384; 692715970; 488119562; 195687829; 477744439; 89767695; 81160738; 541503588; 742909032; 532260643; 870210219; 994344898; 236901382; 400503978; 600668952; 960241804; 340633329; 107635009; 374601728; 19393327; 862434018; 119863094; 182997012; 837858699; 717506034; 413492772; 472221080; 194991705; 744556528; 144613995; 310138987; 565571184; 858022536; 943444627; 962158673; 595049979; 179220585; 704070887; 160237233; 477085377; 255927738; 150442171; 931070496; 597470447; 671667023; 168901479; 253160229; 570515721; 192871455; 284090318; 284265096; 549682217; 388105147; 656460894; 152054205; 983987071; 703815544; 660506749; 49522211; 721887506; 552806081; 789884098; 34727658; 389788065; 145263477; 34771746; 424316757; 429357439; 150740702; 245535506; 36428018; 458168723; 71055236; 997807635; 566315912; 988530862; 336961919; 358210582; 18710980; 922935910; 902878721; 617340446; 606578348; 484678172; 582865234; 352322852; 905830887; 491155124; 823949539; 614484020; 172925175; 838013959; 381286844; 498417285; 168637181; 887345322; 735240299; 582345698; 457925687; 868846067; 656646167; 142243954; 985856185; 36975115; 888408217; 289834120; 532180922; 201476790; 944240429; 697726890; 295191773; 227467691; 415246335; 297638632; 327213240; 460072257; 804704640; 472593394; 5825417; 335831791; 127094751; 428711710; 733865156; 665863183; 56962079; 486933019; 193477510; 260518214; 693371689; 359803458; 134240304; 779384689; 291819979; 555571219; 724491118; 581141362; 261844385; 84211219; 167317494; 38122087; 101820907; 527924199; 301706713; 485473338; 448804674; 866178514; 52851903; 201837489; 654858746; 338347881; 306030046; 193840302; 825206474; 816946438; 500184743; 783368635; 372282411; 759742073; 155954716; 246143493; 378156549; 645784700; 13130991; 627619075; 699521635; 831047652; 65852125; 771587822; 178952090; 667403659; 652980654; 453771103; 240094761; 742890135; 109387330; 222371791; 313122406; 646966903; 20906564; 716551824; 712746309; 430062404; 152985948; 281788563; 695030216; 467669674; 387625563; 996126282; 978729982; 452665999; 374883679; 472541987; 375163245; 450497146; 771431170; 141092259; 96379674; 467256840; 819347245; 861041536; 859687117; 700033481; 305807697; 272812389; 172375657; 737841018; 828387192; 255937049; 421873875; 896636096; 293298864; 351918724; 823009369; 55953731; 307992016; 560729600; 539316305; 178666582; 668618692; 98646235; 610126421; 180834089; 185732298; 628776400; 924030424; 838338208; 446179012; 776193139; 821389435; 930602686; 144030460; 215201776; 664099881; 416431864; 928219177; 162510839; 136836401; 285640077; 935767895; 324206298; 656075340; 105279057; 683178869; 594496694; 450830646; 390254356; 801278184; 751808522; 580262205; 230113826; 392279339; 468242630; 480415006; 250318474; 738328138; 133753276; 346787716; 311879760; 24608894; 957240224; 781887175; 446467482; 782342386; 636650002; 644789936; 203726165; 108914381; 945758806; 317018560; 652714399; 995639220; 556220212; 880645629; 728502911; 403173639; 898360330; 56535034; 977967672; 499834858; 72542345; 778317801; 124366767; 904716141; 268348120; 370777691; 196437409; 936929688; 114016085; 843899887; 59661756; 651590314; 220929887; 792559410; 851879828; 297591720; 356730489; 233982235; 786917250; 983595690; 105738170; 788904746; 945664792; 759281859; 996372862; 143414335; 918592811; 927251733; 301828457; 63832378; 942603838; 609820644; 641729645; 877658216; 308085303; 43050301; 989325505; 15934819; 193301295; 66937268; 10406700; 514701720; 697842162; 356037918; 770808883; 340000141; 135311152; 678476857; 621616277; 226187690; 584302387; 536275848; 26418234; 204105489; 52330170; 330072895; 757760144; 898340451; 465752402; 629717625; 267542437; 445510822; 218998901; 766472016; 142066030; 316962063; 770436254; 263121718; 273736303; 163356070; 905515281; 753343710; 375442443; 437077521; 496495687; 87545072; 988067686; 600908676; 214159275; 772083458; 392151623; 973480317; 174531099; 710167308; 307951561; 757743388; 470663190; 410846582; 788292846; 271745627; 18002451; 928439910; 668691736; 780072316; 971495577; 256400373; 176247816; 651359766; 683660846; 365925120; 178875674; 194658943; 995341230; 295527486; 826522741; 498912872; 375389259; 639513611; 951567016; 685452215; 7501372; 75516535; 412257324; 31071168; 577971849; 878056383; 117854684; 367777950; 768034361; 598135814; 242688966; 456085242; 402388950; 308967038; 440046966; 321870905; 577593041; 967025720; 618747494; 619891341; 312420017; 664054596; 868750614; 57854413; 95137461; 657263347; 262349609; 650300679; 109499647; 33022647; 530333413; 957413526; 485218136; 756583954; 461718628; 616234889; 589232521; 581795370; 901894202; 461965874; 831945404; 248305563; 370366146; 678715281; 676560097; 198375040; 726530850; 613156570; 657545512; 782013588; 433818643; 936307406; 206033208; 302670108; 592493566; 969417247; 224102638; 727992868; 511428770; 572711193; 577397067; 560429238; 230104301; 234128646; 251547439; 569232598; 797971996; 996454163; 17960039; 546436037; 266654814; 813071035; 918906513; 227917633; 164724075; 444941941; 486159419; 635296456; 394137620; 12748994; 575516436; 607037501; 179863956; 410644517; 258591978; 270515835; 407157429; 7383863; 965814940; 277073772; 868191176; 689697204; 396432714; 881213179; 782935872; 977666711; 534372662; 965101574; 698052880; 438766759; 692131586; 102298656; 902724614; 64260801; 179414425; 524887537; 934106762; 288058991; 515555007; 765891082; 681756677; 565498025; 958245480; 541111469; 10117908; 154463138; 500847302; 972364; 736757617; 259041070; 116335075; 440548069; 974112818; 728313003; 421926481; 160443765; 754814050; 568410958; 173201281; 512704946; 415315751; 74236558; 623015143; 188685048; 843035726; 238928128; 935375730; 350815928; 249602418; 377139337; 571527393; 878097337; 699794163; 939215234; 810302683; 867077880; 990366976; 34807494; 307856365; 566668604; 874199905; 153461405; 201656169; 131604790; 270179035; 340429448; 676511917; 872175211; 603280808; 288881522; 187476224; 974729139; 705501975; 53210750; 624682801; 598638862; 285769585; 916760939; 895448258; 559085289; 164795977; 810468188; 821712525; 797971200; 712276098; 14319315; 684362510; 510110255; 962549472; 870909151; 775812764; 649067005; 482978253; 641987026; 178051169; 946384181; 959691768; 256284477; 64294052; 70010655; 654071670; 555612518; 284420876; 611584860; 737256549; 682138336; 291778961; 447682923; 933038065; 584879617; 252676725; 220330386; 245438584; 312526589; 242559145; 733882255; 641792782; 948371526; 38372856; 175792530; 201276868; 765661535; 321604222; 859456329; 38448978; 58579696; 526744205; 137658291; 813631234; 391090646; 765596167; 240397108; 158882040; 687158248; 717161640; 269235096; 324046669; 434245208; 369474155; 525735041; 302841995; 418208960; 843231139; 307067664; 100711599; 679899728; 824404738; 602712641; 818037532; 76958739; 367922392; 637698158; 628898164; 503061710; 788455055; 319173801; 966191683; 806209192; 510490940; 667810117; 585807097; 816347595; 134832850; 789521893; 738410717; 478206829; 202198861; 776934115; 391851233; 945990646; 610241700; 526017195; 553111094; 458614957; 159999453; 197503075; 598454310; 268982470; 13396792; 76210763; 391811495; 59331291; 961069305; 291000519; 79797649; 379321932; 458409315; 586498475; 32237156; 253544517; 604644784; 352698893; 33466460; 128397866; 84591632; 610152661; 972917197; 685982841; 407047398; 363909724; 656792838; 810787801; 934844627; 414070322; 718318649; 575142248; 555199158; 22072846; 717413314; 786622069; 719560903; 752319422; 683977399; 789890958; 475394769; 12494347; 485631847; 299655377; 35778753; 716348505; 789926672; 527126937; 837134094; 193978135; 996551003; 570101275; 7841138; 494342942; 763539421; 525314304; 464604430; 7060903; 378451175; 220324036; 569221357; 978704384; 366355658; 270561088; 702743363; 623613256; 957692098; 793947793; 721914109; 82396540; 111300969; 70598115; 649545626; 60749743; 435791196; 234664822; 730946115; 117342043; 308965253; 973235974; 407705733; 943670816; 523753183; 30871659; 41351032; 142604362; 478085188; 938149430; 127520854; 186204953; 595193115; 39680129; 538968189; 289341308; 144766491; 102017032; 640463513; 666025780; 610991562; 8130091; 400660134; 754127841; 354415124; 404291690; 527047499; 49301586; 590101458; 972449123; 279635986; 291194383; 546493927; 939066593; 429487725; 872399237; 379111725; 93384623; 226825408; 397427851; 9596322; 298212332; 912730393; 127391045; 874617259; 100923266; 685445631; 347587579; 608929452; 216192910; 233165478; 109866122; 751247412; 23215909; 586222348; 205117872; 212442112; 253421247; 194483130; 28291936; 610676862; 77107076; 774261385; 999969534; 261230857; 347196699; 704840995; 42395833; 421532537; 961732049; 680426653; 774070243; 12386817; 736377291; 41017364; 323032148; 86378664; 512043129; 903586490; 610159057; 884027401; 51947878; 345033125; 720862599; 132352106; 231416941; 663360067; 279609073; 881358442; 37603902; 136930909; 169278725; 466701515; 274388184; 586038843; 620946077; 123349186; 497883839; 192980670; 795804368; 447642062; 564248023; 562623424; 870091907; 341325877; 891860700; 285200391; 188066336; 257831411; 195896642; 770488127; 146911855; 27352784; 190301928; 857403456; 373323595; 219028788; 27517442; 666561401; 950958246; 748225693; 780552380; 458273811; 358439601; 569625165; 738609774; 922625485; 958581705; 240168183; 737837597; 322724599; 800793027; 271158434; 728745190; 779002898; 243195892; 861811306; 571460005; 355245528; 651116615; 835324683; 414041801; 344852190; 886700336; 210587788; 999140936; 624231241; 110957245; 189745894; 711900592; 712590705; 686913959; 197156072; 405180266; 782182395; 779742160; 901805061; 188068627; 880971248; 51891339; 949468190; 485129883; 536192571; 656637463; 388133304; 925709740; 581303741; 218502684; 306765802; 69438499; 956069316; 506741836; 874728415; 485669893; 492784528; 479320785; 512064430; 21181732; 844800469; 778196692; 71155907; 814985890; 112133683; 863887248; 580161477; 187355586; 801113862; 590430279; 587005539; 25017876; 722036450; 777931451; 26265377; 487508416; 141029643; 484448533; 633759770; 677199394; 528916331; 603627912; 135710241; 572969117; 164856741; 262070882; 587535607; 266156223; 136275256; 973313797; 601214211; 955160138; 944591574; 134765261; 712073531; 888054435; 629141366; 291948342; 3472831; 529505077; 990092347; 258153046; 880594210; 554422360; 609017993; 441823940; 730361783; 638082907; 22982479; 388808421; 190075276; 623194197; 476647879; 51977957; 801917972; 259294178; 635975932; 225994177; 812751613; 73511054; 10384748; 321215716; 882737611; 9462059; 882961369; 609820269; 774763331; 595347323; 366791043; 167472883; 613015495; 603881869; 610339813; 147615465; 44589835; 730040366; 63074094; 470020303; 130902770; 402810439; 592346839; 504327990; 497705397; 879838371; 784745953; 405040745; 28531228; 625884273; 202403950; 35373710; 740178684; 477180456; 968802961; 364043969; 516847113; 85592324; 707527799; 706751410; 901481868; 72522841; 639974341; 788906206; 615794925; 8880624; 833961207; 946452682; 323621443; 703860596; 741598891; 155987152; 383232499; 291692448; 334527017; 311657264; 928134642; 538465429; 146179557; 505546368; 450125862; 933122707; 640359806; 204099097; 233820497; 24862116; 181687639; 45355096; 950419730; 405629676; 170976257; 588899275; 883529247; 22344905; 996820236; 283906693; 492578350; 164042544; 905730439; 462138497; 937745914; 126694129; 189191329; 661929751; 914972532; 478786998; 722778654; 125466743; 569487467; 529646018; 270815378; 983264373; 209995394; 459672602; 254581458; 829478238; 725500828; 356886710; 383225336; 403567727; 791770486; 107430562; 820507011; 599524720; 363368664; 486972586; 212797959; 243584123; 297182616; 347268338; 369623847; 308809369; 269612079; 320750987; 502543402; 43953442; 249941011; 949751701; 348695351; 906451067; 473153203; 776299366; 963824407; 896678266; 163165562; 961786505; 191899485; 63842725; 353798124; 860138338; 70813271; 649126846; 718135785; 531173832; 376551; 375388868; 439609514; 338387113; 575352627; 901901833; 853967432; 688025479; 132711550; 215189888; 800185032; 567106499; 779909380; 123924753; 676455212; 176304453; 870512254; 583193978; 76466762; 888295234; 382442413; 716162238; 8610800; 477368696; 286768668; 437527221; 265420282; 811616477; 324637747; 137264749; 893145168; 496074256; 420940472; 849301008; 136286701; 813834949; 503816593; 755016220; 539673923; 885909682; 85932578; 639096227; 214355545; 994187065; 241608691; 471646715; 887931715; 470408284; 185697376; 374616998; 718492062; 473510154; 578272650; 999834361; 896719494; 856168819; 45061071; 247323494; 248897060; 211924520; 183071433; 987944833; 844477146; 84739747; 574423453; 271687006; 809815658; 402583453; 633161532; 563706336; 615353141; 828261862; 550571968; 758189436; 227886391; 275193455; 100157889; 778234003; 748322611; 724434762; 458540265; 798725580; 592345040; 910984644; 619572359; 367413960; 330597467; 986866851; 871559106; 907416455; 762622571; 822177498; 631798314; 874668925; 839735475; 820983193; 751873995; 269478987; 322073278; 349271861; 270339518; 325293065; 602274046; 395997911; 407865489; 262424590; 215529374; 390488705; 806019090; 741628096; 782694749; 222749744; 369122762; 475119304; 807637095; 137338104; 418509382; 109721406; 839161715; 245503790; 913316106; 529696445; 160987381; 755174540; 664403805; 506677552; 921650837; 323108565; 417411536; 647363506; 274143311; 750056862; 790001962; 968486564; 605237584; 102201993; 809713536; 164437053; 687417500; 849557812; 545948846; 678674703; 278932401; 6918092; 579005667; 349352875; 565838776; 377763224; 606559358; 78437169; 457921675; 248888513; 386936840; 983443110; 4063754; 727850861; 278372235; 912638489; 551743408; 20090741; 966613824; 855539993; 614145159; 876488463; 824553596; 656569962; 66120889; 733870574; 973782071; 691101542; 559761376; 596296428; 579553544; 867700646; 862196586; 217016089; 815891058; 158523224; 937155725; 794887485; 364154557; 692352489; 396378187; 835099487; 838454049; 735284630; 496770360; 649907842; 31320500; 612841464; 675910987; 50205885; 73821948; 878630162; 532091273; 787743725; 471166935; 390643971; 536918634; 411733067; 635778281; 881441675; 222902532; 617000848; 23490124; 776065500; 538150313; 496212149; 698435592; 358665540; 960913113; 673925250; 603544474; 4959572; 366065473; 657489679; 626026794; 359296739; 462539298; 195345863; 355189878; 361875357; 804099352; 759320339; 792900014; 553507191; 352819975; 880938990; 725076051; 488976734; 27918088; 197614676; 33200102; 763176346; 363935980; 753448034; 594262111; 60828043; 728062780; 438258859; 346510882; 359708307; 915349300; 790814739; 587160083; 512078790; 537513663; 144979537; 865505725; 878259433; 819173934; 306040556; 551699463; 110634356; 935907812; 476626573; 728135428; 153018477; 859851371; 444175863; 456520545; 731372377; 100667793; 764970082; 847779225; 39232627; 916386408; 142170074; 752433909; 946888749; 589967451; 380629639; 262068888; 562366262; 899134921; 734854276; 47203343; 33235758; 701033083; 583692261; 518738374; 821771661; 170917934; 475545632; 10827000; 83903728; 827000744; 388224923; 378881512; 260075729; 312407158; 850791856; 356982719; 926314462; 682546344; 594933921; 183432962; 542634264; 293182604; 520623716; 661155513; 847860552; 60064434; 129648037; 883095294; 840151409; 717185097; 438085026; 640716462; 338701108; 724760554; 221236683; 49975012; 209980906; 964320310; 537281855; 300657539; 705599867; 576214468; 858008059; 684837178; 431890950; 266242056; 791077066; 86139474; 968547166; 93929277; 73903026; 873247058; 211237509; 948933633; 97313275; 156471471; 156195812; 533065676; 879025855; 765442455; 75263811; 14917530; 598880435; 309578866; 876875368; 518086493; 360445225; 372725387; 355995964; 167308009; 816380100; 410226415; 545975741; 11596662; 754688063; 982339790; 413870145; 122185786; 210618131; 917576896; 403537201; 342406270; 344037789; 947027171; 139222145; 399928314; 567933579; 372937876; 491944441; 350754469; 861838337; 505698952; 974688904; 507321266; 469916161; 710960626; 377437695; 997601050; 458217160; 467505678; 548080703; 652264870; 709472447; 240570054; 555730989; 716700229; 456345140; 558160065; 54225921; 560393536; 266233377; 844953830; 657944231; 566473576; 786832050; 465773208; 347584768; 814899933; 270184789; 159854693; 70924549; 964037299; 788370007; 825939974; 891372560; 848075490; 719105910; 691158970; 273157599; 915184192; 395831323; 213871679; 515297307; 815337133; 22951905; 107496558; 222208598; 510848518; 539467548; 291158711; 736664142; 314038330; 653072699; 996495000; 391521727; 327934919; 702709827; 571828044; 277946990; 84960961; 896648388; 931974867; 863797388; 12210923; 812497240; 105032477; 89985007; 78564304; 556762055; 138510167; 139536656; 923741819; 221615960; 707365849; 626596303; 846641; 210064003; 627169362; 911970605; 216570752; 693902578; 416042938; 209751607; 269737997; 852295719; 412749144; 275090529; 859435303; 38991556; 991294061; 492852639; 389595239; 366278485; 797300397; 561854198; 67966987; 456971379; 752703864; 890746112; 584609144; 807186312; 745104189; 617969324; 872052726; 253997476; 813919479; 868790462; 689886206; 572389277; 208755844; 994011150; 727636506; 278499944; 851347836; 167044299; 293734898; 956825263; 714523021; 783585574; 655831720; 106212024; 974754339; 308900102; 532350812; 526602021; 213984817; 921553945; 532106960; 599972247; 700016153; 308885342; 468173839; 812912256; 59583811; 334290120; 350684217; 196983789; 748707075; 912255904; 15443246; 937971092; 822428490; 859810106; 978565902; 770573356; 722999925; 971196807; 116314098; 31802479; 283006767; 96699880; 673863742; 698642333; 339733510; 131739668; 341748502; 545782183; 276600793; 959694456; 139212043; 649379470; 971902479; 580700004; 440517362; 47768160; 227695320; 853452964; 113510686; 38563739; 216683081; 643929684; 285518142; 562912655; 703139411; 366601261; 901936887; 703303693; 995603991; 45710680; 171039452; 838501261; 469514072; 486468899; 676101921; 280213057; 348567783; 4079998; 434969673; 305152566; 639148785; 486603449; 792126552; 382195620; 7319566; 74267223; 896452444; 251361974; 141089098; 696671065; 855680031; 976196970; 666842442; 638533162; 851484296; 869838328; 331217719; 959112626; 249799191; 673230230; 207203896; 63412688; 48607119; 410801296; 785609729; 912671797; 129782268; 25720480; 598056530; 806446463; 709797179; 886839954; 804920990; 2754095; 620221783; 292448301; 100767824; 33747730; 666182562; 700799054; 685715281; 606431223; 519931824; 826834483; 285052414; 92740613; 821755514; 808526209; 649777757; 84364030; 714919204; 965136805; 744753136; 122848413; 68524566; 299937457; 196650818; 515513830; 291937389; 586091769; 762410349; 668542901; 711877741; 699478732; 612076786; 786759108; 993783726; 740834952; 519112668; 184107406; 320294546; 257250095; 878952113; 105865000; 921152926; 825990301; 373452043; 284667329; 660768553; 96347146; 242580370; 892736978; 854049911; 55832872; 738805178; 999131027; 478464729; 973247015; 409303979; 537477462; 94133910; 26199849; 411598243; 855131236; 470280769; 394937156; 12704950; 63556812; 351581766; 769921056; 539880776; 636907560; 4821151; 311090772; 725817535; 481778787; 469580583; 544360258; 132466360; 331305815; 115080132; 188270412; 113721961; 163864476; 757926961; 331231551; 439128171; 425916308; 435549166; 529618696; 320059222; 851648305; 403737998; 877563729; 507895691; 152774399; 714367909; 182875281; 400263381; 946294726; 140818999; 170170842; 50269688; 719131833; 663913074; 68338545; 435462774; 618023833; 402581508; 505603739; 251836078; 923265683; 999822786; 348717869; 917555223; 372614190; 481756372; 637037413; 387095292; 97913949; 38491465; 407883443; 398674811; 403136150; 577739117; 225819343; 635279345; 353400944; 78091574; 29184080; 756238123; 518780154; 811104105; 562117039; 869133267; 533011326; 604439510; 273988040; 697134195; 886752860; 782226300; 661864060; 876678632; 842626109; 201623563; 512682538; 376472913; 666048515; 682763874; 812947994; 878374994; 754693877; 337492642; 934159197; 666191250; 113664860; 337489437; 763011534; 776088717; 276878739; 33999622; 174516056; 323119595; 101920265; 223904764; 67770313; 346483968; 207216866; 87467065; 605507897; 377369155; 787536791; 950155217; 315901113; 437346158; 644312127; 312022347; 445472361; 252822649; 417335901; 214344964; 425563225; 511401058; 839864888; 492066899; 110832418; 569941128; 423699003; 505674320; 479989995; 15448009; 751831208; 442146097; 46305793; 282361372; 605560672; 992619680; 8790253; 235156179; 75887068; 742199433; 918454676; 326772474; 613706758; 883650319; 646959262; 787036225; 844989357; 960303767; 133626961; 220205778; 371372871; 172835284; 677532641; 105538284; 387972456; 976171180; 988442753; 159883071; 933210879; 51913104; 875456011; 885254378; 116717762; 311929673; 598736631; 714071059; 394792736; 189835722; 859946094; 955517484; 567430702; 603976507; 474477093; 88981945; 982643699; 4672762; 995784080; 222286788; 766744098; 119597245; 256842706; 862253875; 670399767; 873633816; 545033465; 31779959; 529352301; 359192945; 688651050; 759655278; 362679416; 487365671; 317909358; 961086252; 235550135; 295182377; 863276550; 71541398; 385840959; 306965088; 63317983; 551548694; 595576502; 929511297; 143513523; 560374794; 840040880; 184002173; 56128326; 327737922; 446348909; 849995709; 665794467; 394549856; 666121013; 117260902; 329659928; 563985786; 138080886; 824943509; 304845476; 660901139; 811478520; 176757366; 618032086; 292708041; 521156851; 969131643; 783019939; 96005987; 226011296; 9155534; 419584844; 438076874; 153038377; 736575732; 160157331; 582305655; 764187908; 559595917; 733263173; 147469999; 534729470; 175870344; 581706332; 31407639; 737149590; 812950356; 63705689; 498732263; 942213672; 138613776; 147425592; 329046423; 379507102; 746623477; 205755272; 684775241; 340387201; 770549575; 767423163; 565950324; 389093325; 993408069; 612414817; 318815464; 208818707; 876666783; 648950819; 182086737; 89575221; 125786028; 800627706; 54182401; 767363951; 184995281; 24293548; 448913715; 399640729; 108656654; 526127648; 556845867; 11282769; 493970231; 365810476; 308677129; 993497328; 944383658; 942011531; 864234230; 404866642; 210767025; 225072958; 991022563; 788316711; 562421437; 831689009; 253084075; 4555766; 523353082; 253695448; 267349651; 330492246; 914810366; 71209315; 872565141; 328750605; 553752543; 976380244; 526991670; 143092931; 251014484; 342518217; 125295154; 654427442; 511119600; 460453245; 82717411; 896619656; 213626802; 764362914; 710743680; 961615757; 464785104; 132433702; 794579890; 188135697; 168316432; 757736042; 738555150; 131164039; 693056475; 306641329; 643558023; 987291572; 138042905; 590497194; 677132863; 230789332; 206940626; 768479144; 937111229; 306931555; 330765231; 59976762; 317688534; 278877002; 673178186; 455359187; 590397471; 150252162; 7831118; 605225676; 334803871; 876946581; 450021354; 219501320; 554359138; 717448378; 328813999; 848316579; 676187984; 756501199; 719563236; 194517457; 293069158; 23650785; 973241055; 914665615; 255127063; 411662607; 333547431; 157515123; 67399595; 229641175; 287475249; 461357938; 960672790; 218088253; 212957257; 599881906; 823041642; 242687108; 330692695; 863338848; 780464024; 984105034; 503286716; 333698825; 214924562; 702018166; 158502303; 517975303; 418858238; 369000869; 668223521; 595306717; 226405167; 970234187; 142200758; 741811193; 422011562; 338962407; 735909941; 704704395; 151248053; 911812613; 498805001; 273010992; 367883707; 255612294; 364299286; 423538754; 974484870; 318963887; 858815964; 311808432; 295657925; 301439654; 655760000; 641118082; 231997553; 115785071; 784720052; 176189388; 662558970; 672451012; 437556258; 885818501; 274060624; 501912870; 548700662; 844231988; 383046448; 995838821; 516901425; 765314321; 45937700; 717459685; 418688507; 825923604; 797795246; 107378783; 900147599; 79585847; 613115569; 461171792; 381465177; 395491030; 630588457; 997637140; 281968763; 175187083; 626511030; 196070666; 686529269; 205678675; 32323479; 567954883; 561326924; 528996461; 874427185; 652637279; 79254490; 188500783; 860014879; 958962076; 68934893; 229244688; 826580198; 15592540; 881521586; 8984295; 445299760; 282220266; 559544769; 518601731; 521945886; 426079554; 927764364; 152795834; 668371735; 119508006; 83788470; 132317993; 478725017; 85094505; 953046411; 746644289; 482623018; 676652072; 705761975; 497207426; 597473768; 711570428; 658596893; 708307213; 836999630; 705563100; 243746263; 147766240; 792684972; 813524214; 953063157; 269270260; 795455942; 772757748; 48641015; 516115979; 847600803; 377477207; 717718098; 671350818; 122534310; 962812318; 369744883; 852982630; 363168652; 393859648; 5509414; 725940647; 790909575; 803157461; 37103540; 226146560; 486889733; 125323459; 741022252; 516509770; 174354246; 381145783; 673679021; 314491062; 369255021; 530632681; 745303096; 839163887; 225083963; 53845047; 333873981; 819806364; 312804930; 231399892; 897145085; 547473991; 388301132; 531496549; 799346566; 63230990; 428493445; 729306163; 884595612; 172287890; 298753505; 722859934; 778637079; 704585127; 501200133; 490096595; 639537497; 733981400; 715610865; 226270154; 693600825; 280207702; 21665100; 726135415; 864704909; 280622911; 573189685; 829750085; 526950147; 133758849; 103398289; 446526685; 320659958; 923417287; 910416745; 2774804; 214833185; 113515060; 27439599; 475423287; 113886584; 198228096; 419352523; 416904595; 895166959; 351677316; 524620439; 695429652; 379472910; 269032851; 702773717; 97926391; 425053419; 746179303; 587005599; 255079370; 944325227; 540726867; 693744002; 909987355; 411048237; 254180465; 694051622; 728147556; 823185264; 41181497; 705102416; 632432010; 143628768; 685486548; 122401526; 992271099; 112074300; 781454918; 350411293; 83652950; 443107100; 121603557; 699383372; 525300958; 312297366; 953085848; 863494528; 943118806; 320720579; 973764389; 188778446; 619870529; 549441636; 55016496; 997034462; 482472114; 146304099; 92677793; 496147315; 837438660; 484172099; 185446036; 810324844; 892431164; 503308430; 588161243; 548847707; 948720549; 229380850; 885513530; 633252580; 590869059; 430577066; 593597268; 363606311; 480784146; 709537735; 410119907; 952851057; 575369061; 481863844; 374404189; 600603335; 89258047; 550601314; 850169213; 33427637; 600336493; 783563755; 474814473; 239919447; 896811562; 567159407; 180058166; 926318362; 592581549; 130423912; 682929618; 383921878; 75302368; 175875569; 266775133; 871889617; 248320773; 61672667; 295366164; 369760337; 588746476; 257409150; 57774210; 310566013; 189513619; 639648425; 268855558; 658392890; 384694261; 608496104; 38307741; 379073787; 194800450; 570148627; 44073480; 326775284; 300019584; 417684464; 439353244; 994363867; 293323217; 545047441; 223765773; 737970641; 26364581; 523601477; 775676507; 284465174; 999937562; 226470458; 122130382; 623834719; 386469727; 140106320; 997437587; 44470756; 235159326; 387806051; 91999373; 111967406; 892882023; 891038089; 194082042; 248162319; 738202678; 803449095; 300275580; 917334514; 318571309; 11067579; 273973771; 7778693; 769233552; 409819160; 228530372; 757269050; 465749000; 194394583; 442974036; 379176647; 553362305; 28679814; 368616016; 990357690; 347882475; 226945833; 364456847; 371848476; 317920082; 782856875; 476543678; 915949156; 986584200; 542947392; 965004340; 803644522; 919783055; 993403048; 73762196; 776790852; 926328899; 830597370; 774367212; 94152712; 9210042; 433814831; 40225957; 968165812; 487336188; 907840883; 885931161; 354400999; 985212614; 418199566; 900265838; 642149262; 103555583; 46497210; 599421683; 714105323; 796500339; 446980473; 855552989; 641246639; 173180807; 370208248; 387666465; 802396743; 302139536; 513221846; 15630988; 863620847; 545356493; 44525988; 746475254; 106229667; 420828135; 757123985; 857492182; 952496679; 161880718; 573795078; 182241927; 695441287; 990924944; 169366860; 663397280; 137679160; 316519941; 518766992; 270932403; 90378789; 678670794; 727684729; 396749272; 181113184; 118323329; 697233815; 737613471; 81058359; 462575088; 452628347; 503638720; 310806586; 436967111; 876207731; 844723443; 390152911; 807419853; 405883143; 411663147; 721270814; 430493514; 24343714; 865536840; 64555215; 860650888; 945164870; 2720959; 312828090; 568559199; 732559882; 20822479; 63927261; 847120586; 472941584; 981659648; 211074673; 315578500; 784307682; 834869734; 815164525; 913993554; 583533488; 556398271; 260150506; 892584147; 957997106; 222943457; 11927161; 977429913; 395939333; 436635312; 20917574; 123386309; 490167761; 863623792; 882755007; 130194285; 202288306; 178207677; 686525689; 822607927; 8133674; 572039493; 545101473; 61615512; 761416750; 271328616; 467981999; 864850589; 33208149; 306799482; 507788622; 234233829; 757243321; 91088181; 129180632; 725627143; 826049384; 334064371; 64712360; 578046951; 844640913; 648374111; 59780041; 529305139; 60073777; 259042929; 149311122; 655864759; 934306261; 356024558; 319674157; 186081142; 415493718; 21585018; 400487257; 70941995; 557854522; 266552932; 94722602; 779316998; 628986838; 39166078; 926118563; 220048867; 530888157; 225465931; 352817318; 652169191; 82368958; 24013479; 84412998; 561097752; 507389500; 991984981; 775765505; 458048028; 948326856; 727891682; 452164448; 410431161; 601306250; 498425941; 406824516; 287136374; 4065486; 570336637; 783153553; 653059435; 144767272; 117348323; 912284837; 966672962; 112749333; 810463283; 88986145; 647233700; 751092668; 675686255; 737325229; 763491790; 410563701; 653769647; 756650826; 869417631; 533570246; 621024307; 101221913; 798629465; 800304543; 27129210; 325982142; 734358841; 123458221; 505387384; 47962002; 954900617; 829706439; 267656728; 761471545; 126962153; 276504903; 73206328; 480752117; 734057964; 682511314; 707691086; 513851640; 622848554; 808690529; 861718802; 839917220; 969856363; 993146342; 496105875; 252355034; 993502530; 737227128; 15143444; 606579614; 534860138; 454023870; 595947392; 829000635; 843686017; 731599880; 88939077; 467654711; 127630988; 350312755; 601967802; 97393114; 400571239; 352616975; 542370201; 703446718; 300478932; 572733627; 934880095; 120000520; 502527056; 645539731; 624211535; 636190024; 805318227; 430637917; 875816828; 701226902; 278391620; 193622805; 414594389; 480921965; 155969988; 948307018; 833802462; 37656550; 534776976; 113653705; 295229486; 776339318; 395418750; 882886808; 729980775; 703778930; 13724585; 680660998; 931610295; 71021575; 250809298; 217483323; 248262216; 551356857; 536861130; 55267817; 537827318; 570911128; 286745233; 282624739; 905620052; 709416881; 935233287; 473906786; 367790645; 695255321; 383493659; 834440891; 89625448; 102878443; 582777883; 49304641; 490999497; 392351778; 11894370; 980408328; 165553224; 182842134; 961840826; 140146407; 120313054; 848017614; 687923003; 422023464; 878209942; 2769943; 1766028; 249718926; 990130836; 69207214; 539273022; 820091329; 834654324; 330710744; 677029111; 326468388; 512832726; 346895817; 215884219; 237033546; 972684946; 37761498; 258081861; 37740117; 47794371; 613678551; 177930103; 652522955; 134819081; 225079899; 4809048; 308957511; 101526192; 32818356; 581638000; 409519726; 855120794; 934507490; 242228346; 614609769; 483639142; 455392501; 176074851; 725759663; 666170013; 98785587; 967379221; 784122314; 445637175; 683825852; 666734503; 850985281; 801067138; 39211581; 462803606; 65591743; 874419627; 808507425; 521587806; 946096027; 565968967; 680333938; 6864633; 120325066; 137247593; 499908282; 397385449; 285396434; 485746337; 487845712; 778342604; 334400494; 784464098; 758433617; 458518671; 805424884; 159941429; 970222267; 836169701; 464169997; 952753586; 763231971; 653475660; 766366420; 951832681; 919453263; 493210280; 606992708; 447972254; 305969600; 675638147; 721740410; 873908893; 695967912; 308354116; 767390005; 392502069; 473155221; 965413583; 687277870; 23038315; 534999093; 542567275; 799659087; 231163995; 205093127; 30018822; 550186300; 23366389; 463379960; 81716872; 455290643; 137946304; 761949869; 769087415; 165389343; 738695224; 263003108; 947588561; 880834637; 153285946; 527180086; 112708418; 775511096; 813008890; 699266831; 167206283; 621315757; 990049771; 922098298; 164595706; 737957403; 331051488; 31969303; 638341940; 696489443; 370796197; 268865905; 902080576; 731074380; 54991287; 697144386; 851286387; 447120651; 231516007; 347836430; 919873569; 335339419; 92199506; 495109374; 101529686; 420869469; 88288954; 750004624; 231606357; 272473238; 853684780; 19661124; 414738889; 300326238; 405962189; 134746369; 875575150; 10660060; 880998108; 75555714; 958365924; 506485484; 274943549; 839091815; 255948682; 213140836; 79382250; 254623797; 368427476; 8974237; 799414820; 769659576; 895541091; 45041762; 221683177; 855644499; 459513751; 169087417; 373790404; 91401149; 600146641; 357858955; 525786182; 716297094; 615704037; 822923297; 420304957; 547849722; 204783207; 389779180; 484219472; 675110924; 121831266; 379494838; 420758530; 18881439; 592334727; 419393073; 864175089; 530131608; 922039031; 24280458; 848566342; 747700528; 911330309; 742872243; 520411171; 164667407; 434203253; 215401177; 759496974; 376656847; 584455901; 551480564; 205341919; 120530247; 814037550; 149730787; 944836678; 863452867; 742648620; 505717176; 596522339; 66088190; 963093300; 447284858; 432425327; 143398237; 606475325; 104109108; 969142509; 414536400; 324898646; 851411514; 497311198; 259629141; 780627408; 1909915; 662230901; 696407787; 220603254; 479622739; 891463842; 847297007; 395090129; 75903537; 651958547; 922414329; 321668793; 686813549; 280564504; 352024707; 440549924; 516904474; 724857036; 170957567; 476651191; 508398817; 576688146; 943523273; 11746091; 513710746; 359188318; 217503521; 523726063; 894701604; 749593543; 488040162; 282699727; 330211631; 438623529; 167982367; 87651605; 851357296; 546612581; 693775777; 474861418; 187935321; 907700928; 308895804; 642401441; 674420043; 983114993; 471544237; 640279443; 680421308; 589839286; 707010122; 765218124; 826237095; 524057781; 896350341; 162149681; 882749381; 73864903; 195801114; 110615316; 897264328; 745067112; 657537392; 560852266; 634337794; 337560761; 893579611; 368188036; 300182832; 641421337; 697016721; 941767281; 241220988; 515766449; 247070679; 329698837; 592286686; 104348197; 546227361; 634155051; 190116580; 813943111; 639902950; 868531112; 178021378; 2448280; 354904906; 804782883; 863690283; 343318360; 381654563; 504082070; 91902746; 123148687; 540951000; 630424881; 298663486; 591749666; 227645676; 690211186; 675834125; 877462241; 618069862; 161378001; 116296658; 543019483; 848816987; 424345466; 874893247; 379509284; 603480898; 802238757; 601823565; 752595555; 550713120; 637674732; 843784323; 742176862; 712179511; 283406199; 47948563; 674533945; 641600929; 772053066; 380257605; 284019266; 831604921; 456904246; 784735856; 571475525; 824173751; 792991498; 190537707; 272635303; 973320650; 283472404; 388861769; 370326799; 934049608; 301148831; 566105445; 351830806; 800391609; 310274634; 338338236; 23844802; 79990543; 52698991; 196927988; 702995024; 507010711; 693143364; 502752195; 836814330; 56696225; 400550063; 637616091; 179544174; 817741074; 759434773; 580666903; 293174662; 407469608; 51310453; 648846915; 659313551; 135017288; 267882643; 393484292; 857911933; 776428996; 299407667; 60948276; 924612038; 41804827; 670287755; 344388249; 505838339; 551803989; 826211050; 908755949; 448515952; 903953241; 756564178; 902949296; 883806580; 687260726; 213650934; 849181416; 604526745; 591191644; 572852655; 293025530; 136346898; 713776235; 154384447; 284548878; 843940035; 366946564; 415403598; 958827073; 997052400; 989794300; 773225865; 852768823; 595164725; 19152157; 889512700; 166163264; 25512221; 223515806; 169621595; 537337393; 313305329; 145114193; 328910071; 334699929; 798455684; 642150574; 413642078; 442604319; 990795298; 239023427; 425729731; 685718686; 272439018; 423771334; 377768400; 396497290; 446360628; 427756252; 790204582; 746511141; 936361879; 265236016; 116412745; 649124670; 710948965; 721631433; 490255544; 777872555; 898019819; 402859363; 500387538; 958123638; 463980439; 871487053; 136092929; 517622780; 304855921; 300593628; 708381587; 994671704; 988234501; 167138683; 1179255; 20854996; 232888751; 375657682; 542158955; 238145782; 817363739; 391328612; 823445815; 663406329; 955990594; 742481676; 457670654; 484902679; 501951815; 744344745; 397590930; 626509452; 417428563; 527257343; 552592557; 303621882; 6076450; 583849499; 457693551; 610819310; 580913565; 824468582; 550177748; 357623750; 317382870; 467366992; 777992700; 329539640; 287954426; 833292636; 127870171; 495122481; 740468222; 155146511; 676781797; 781706134; 204942367; 478370581; 280420376; 379932078; 890316968; 927421962; 906620313; 944940125; 293721997; 355603907; 942436763; 626144028; 19847359; 977880193; 880713753; 15647815; 999209718; 582115954; 173069346; 195006436; 244431226; 477109681; 72544408; 305296504; 952529038; 939462317; 101868540; 345069048; 660429392; 127425877; 248557860; 137213817; 641789160; 763061731; 865107577; 89387784; 878983574; 847286802; 893106399; 437437034; 650821692; 498106134; 31245637; 551489736; 992758659; 212139721; 230306804; 31960949; 622465855; 500503388; 352210238; 133051508; 324555984; 890136870; 508273031; 408930764; 477200699; 984043459; 323331882; 328685538; 198514383; 765127071; 968994572; 725917927; 467404717; 406549776; 310646654; 839249931; 85875958; 937590786; 520682692; 733644112; 479673111; 770290703; 185211688; 991789307; 466328798; 89522200; 768258648; 628337631; 881746144; 14306613; 690076360; 341729436; 94453669; 867485922; 615769893; 821430188; 385952105; 441002266; 651360109; 814401444; 317273371; 564932610; 9904579; 636164812; 25615686; 875653400; 580902448; 935284196; 572466500; 47999693; 528401066; 855324784; 431626156; 817202204; 514095597; 910827885; 918314679; 823170751; 694234807; 720910491; 249560667; 522303565; 561817999; 960685595; 855252438; 678052111; 860917951; 502261189; 238390129; 155704571; 454279051; 119093341; 864614103; 97222966; 571846938; 810556604; 279402942; 912171467; 230509960; 526208012; 369913871; 125045390; 760793005; 137086787; 571818670; 806974348; 385397841; 503521973; 387083047; 381272921; 938512996; 409128060; 854959831; 876940771; 593513045; 233599865; 854815404; 435059498; 813650105; 971638861; 901723598; 118541747; 77437649; 371805533; 679297158; 638122463; 648723168; 995745103; 560056710; 182170648; 557442012; 934884204; 724264539; 970467346; 468130245; 835854841; 865719074; 260951243; 509544356; 590600546; 733332866; 548285835; 910736513; 84776589; 62358096; 306530121; 628467337; 239605295; 687483537; 610703735; 786586042; 525290048; 294182103; 942080977; 840571418; 139439877; 33688697; 870049565; 206001236; 198189030; 961484305; 367564080; 12835874; 288475999; 793451322; 995502312; 264237994; 625376527; 227858208; 993168449; 449983177; 826104910; 710164359; 707669920; 518085462; 884336555; 638129314; 397826958; 594658354; 928662744; 618383946; 150541168; 26962846; 510537985; 16069100; 62301131; 514036619; 476465911; 943096391; 764722841; 798453292; 548829542; 68109785; 143301770; 731801154; 762742634; 735940665; 642042090; 597783996; 647814934; 752296191; 834262498; 877308013; 761342004; 368675859; 291536391; 494832052; 628768304; 727852766; 162663591; 654764636; 69873666; 78662978; 878252023; 51636135; 441401046; 361282855; 738983715; 895988464; 687045536; 381985180; 567957065; 759777637; 29023851; 439002304; 499762587; 34467163; 220579639; 763651762; 297286693; 942102078; 502445897; 156628071; 259537400; 524949388; 552082426; 732484205; 96568926; 926150953; 771014713; 709877763; 268834444; 50622949; 105528737; 602645414; 270026629; 363070916; 184885664; 196947132; 995422201; 409555980; 563326400; 615250596; 884349866; 55273276; 570114204; 708639151; 301617528; 361919408; 877761999; 485488199; 842780476; 354098388; 608327575; 7948085; 46905170; 552859770; 603940406; 245542218; 861058514; 815998066; 739445600; 335174988; 773725473; 627671940; 715983866; 677643406; 357027295; 996134379; 988529640; 778127967; 303111444; 997480693; 568034243; 818862023; 716296176; 8981061; 338899256; 768929532; 196985722; 256017845; 52211725; 295206094; 547165570; 566040167; 503803421; 38772505; 746121643; 368874696; 228927971; 683395165; 397329475; 872180635; 352460027; 52034686; 45070067; 862285100; 115395310; 634246436; 944832606; 712814127; 733833066; 470578886; 126987865; 238794888; 561922379; 407957982; 709695573; 194249951; 558831115; 919319431; 711876868; 895947690; 600835116; 5322988; 771669746; 108946135; 768789529; 934811615; 224434828; 675015152; 695905477; 158667252; 851556294; 727562378; 357200808; 779272218; 48693648; 833159280; 955183319; 260133758; 962127052; 245634628; 65063354; 715524785; 535640058; 365946214; 511763100; 789635766; 955254848; 270795199; 279525540; 34671354; 317180112; 463498051; 956222368; 126848066; 890613616; 746896027; 74709088; 889609898; 213811320; 921153176; 829892199; 25774578; 845016611; 755418628; 774366573; 897439926; 999428903; 599669258; 533488962; 134638949; 72295042; 846672132; 990439904; 277414610; 41841888; 882698041; 593502213; 887537486; 808125854; 295701474; 133020999; 48934516; 550210917; 741983553; 832064355; 128786693; 309774374; 475631480; 702556187; 82363731; 930160411; 464675278; 180458193; 669718794; 841857873; 854568131; 311504245; 46352171; 960994082; 912301090; 933537118; 36766416; 559374834; 291144027; 527290442; 756746865; 885803846; 65420366; 396986543; 893570454; 390077065; 607007079; 65611102; 342751071; 743106660; 845318831; 943040030; 538457020; 638291882; 325448626; 77277750; 984708381; 932058524; 720262387; 290178811; 121196777; 753441669; 199200141; 102188144; 201013307; 661347561; 854964016; 450620788; 449753326; 667452744; 100396848; 562249432; 646785167; 656846402; 945635932; 755476019; 595518649; 196766672; 704706081; 403232144; 728070619; 417534391; 604362616; 621011318; 298129831; 514768341; 324504756; 334204456; 908382228; 345896243; 681892937; 96725372; 28288478; 342786790; 100397862; 162655675; 641416292; 562959825; 825509928; 119556579; 372127030; 603959717; 996001552; 899812761; 254851180; 948148529; 641895253; 859743947; 198958135; 80355490; 605245603; 240513236; 561444151; 843384186; 279483816; 253933672; 78246128; 93711938; 838578905; 454021772; 66762912; 375577217; 630141134; 762731116; 204519107; 397220208; 331094898; 133518572; 292311009; 484583812; 826186558; 488721327; 661286417; 415474043; 63303186; 522908785; 69186072; 682719510; 998059750; 635525962; 511348349; 879627507; 236199437; 333331490; 348610128; 149110213; 684697173; 672248348; 146213189; 219857943; 530518287; 195171667; 948094442; 700656302; 170718530; 871470955; 688340224; 807928588; 617491667; 417113343; 746350863; 264813895; 758717987; 673937914; 894092010; 541353395; 58143360; 56557908; 697381065; 784953818; 583885161; 930338439; 752341986; 601298064; 39040913; 951768657; 938184116; 916150756; 720518849; 674392398; 39202618; 498614716; 837685014; 196882292; 937030580; 477486626; 848752837; 981723699; 795491108; 607295469; 556932478; 763713445; 340015113; 388586161; 958938279; 535430207; 254613699; 525829856; 496723323; 646256470; 91393119; 419285612; 794970929; 751057707; 145509369; 929210836; 360169722; 767901502; 68402804; 250243135; 327150889; 784370983; 955474392; 27652690; 587923691; 927009113; 352205253; 803056685; 422280206; 407348044; 956338869; 897536983; 327030657; 406725055; 103338775; 761523793; 648057883; 386379252; 920414609; 362055411; 840484549; 655893508; 761232802; 139633001; 685604954; 453668255; 211407301; 795084832; 833724703; 980624027; 929768624; 773211528; 821933096; 735034689; 938664953; 437342674; 505114605; 676900479; 545316816; 971720771; 376925451; 546493700; 822166138; 231335860; 997324937; 51089353; 710787365; 783290858; 29102606; 553151824; 326590362; 131082025; 434247805; 832141224; 579070929; 496767291; 330470199; 465321529; 656587313; 468108608; 76973069; 141069439; 944758752; 903978155; 284655185; 134626155; 149696455; 792546914; 350358812; 653737542; 832978923; 765561552; 516765659; 497824315; 980436814; 749914558; 92336473; 24135831; 240263779; 52445887; 761691225; 202495279; 263226630; 435657016; 985971715; 569184380; 10670315; 301504587; 953486251; 967877969; 580582297; 110492525; 700102901; 167067531; 120231867; 643977376; 838702292; 704747757; 839695866; 518982644; 853638102; 852584109; 515578729; 801176792; 662175091; 694233299; 138830241; 642920291; 3771778; 514875037; 225409844; 89165750; 254124568; 702050596; 168609599; 723336007; 943656729; 257717500; 715507424; 430273826; 963618412; 420328760; 251431713; 241402727; 87126518; 887171075; 914194041; 624022299; 697716124; 543370037; 426588274; 861937974; 291875948; 814449627; 119075357; 554537271; 609175964; 587437976; 66897890; 148011409; 127543800; 334028084; 839105441; 67216654; 961130750; 985685449; 348007111; 439755050; 605672068; 190596560; 559795213; 690630247; 898964185; 79085646; 304379390; 477499208; 798992675; 282557495; 832113545; 471861974; 304901143; 184258606; 975086745; 566155308; 728010165; 527325732; 669719618; 407921089; 389241315; 551104161; 539813563; 6506798; 258400318; 831877216; 246566730; 377031551; 243914036; 524770674; 696716466; 275284050; 3744158; 305972490; 348569725; 655733622; 226255609; 936640317; 305582424; 532352249; 538780239; 396963705; 746079824; 800621510; 985028541; 634956467; 999438714; 313214019; 210715275; 504734596; 522272488; 276193898; 339333252; 316159507; 827777538; 404511; 373412213; 624844419; 103363583; 622908077; 179301439; 549012827; 392506821; 665545683; 515207001; 62563746; 60927088; 974624914; 62539899; 602493548; 883975212; 321338858; 710470967; 218365254; 189244642; 702018159; 875354499; 825180266; 779666231; 988308612; 381075183; 892719287; 279942287; 556511052; 228622161; 315652142; 954219659; 742018849; 241680472; 529618305; 8933814; 794915293; 207702274; 595275272; 885422280; 254850412; 185504896; 915300609; 193917588; 160356309; 921692641; 40357060; 567892738; 232232689; 159263923; 245108324; 911791358; 465616485; 8296737; 725076321; 633415659; 695497019; 850750237; 703425692; 711323824; 391576335; 836214082; 186215638; 472505205; 881968389; 509828434; 150578706; 94533780; 465573745; 334367690; 328966707; 22061494; 86178716; 420770704; 115609362; 267060927; 83802503; 524101728; 40612967; 24520086; 4101101; 442973024; 178160811; 372755093; 228225013; 486192871; 620791447; 969813012; 853986445; 843592080; 627298019; 205054981; 508425718; 535200878; 766114139; 62776973; 869533654; 243704004; 841811692; 136867411; 73010518; 433487268; 165198298; 802559780; 986455328; 435742092; 110608922; 436189129; 397527781; 440574820; 849837114; 759026467; 440979039; 487904246; 848926378; 72013264; 629446951; 287486633; 564469920; 342319085; 941301495; 184170969; 11274716; 677361774; 295397427; 805672604; 752698059; 836435251; 926657751; 104413984; 24090721; 810595632; 218340693; 259296732; 265896322; 518604846; 938415160; 829356750; 277346667; 741957993; 567181608; 641411451; 467905144; 903309100; 275680565; 508752404; 144899734; 471454438; 36451896; 349865293; 13239527; 42962529; 946739010; 198783189; 790291755; 491176344; 390682005; 750465729; 971760660; 857225958; 229775687; 317718567; 329317953; 368233939; 111339297; 259308738; 971368358; 558059011; 622438081; 186337388; 899558844; 201742131; 236841628; 863128123; 441150365; 99257840; 853272183; 847355108; 633079057; 164862179; 844962371; 917628073; 200462954; 797936691; 282567297; 290539069; 869049780; 456795485; 420568615; 434560790; 876300997; 795065136; 437349548; 605178698; 256901016; 853964140; 490905702; 66295656; 439444905; 177198442; 898364849; 291518030; 28515732; 199503407; 229599556; 252539721; 106219886; 403868944; 881965300; 873168713; 72815588; 143999370; 2826093; 277280192; 561480991; 788991056; 442705751; 854922784; 529192545; 569536905; 289710788; 745306595; 136139293; 835603732; 126811268; 168564423; 937564167; 101090314; 951226330; 96135821; 816007059; 358609069; 778065673; 645462422; 500331020; 145082796; 714915509; 364177462; 332549510; 583144072; 922874642; 641312519; 515459533; 608030244; 144940595; 836424354; 907649413; 337251610; 875563838; 960302720; 53540678; 597334451; 281236972; 601827522; 218815975; 456579359; 99924523; 274332457; 798607558; 393024863; 155876937; 880212564; 515285757; 972515866; 240662088; 480314629; 638119683; 980236267; 277495537; 921179933; 165028445; 612591477; 641627511; 802763530; 789299235; 334409767; 467200516; 680248848; 362326768; 237048199; 820936738; 344498019; 502552077; 474588289; 755876997; 261309370; 718377667; 391489767; 528788049; 712477560; 671316714; 67575332; 370151912; 199200305; 712744074; 777806943; 974599348; 365620272; 874629263; 489240177; 9909076; 195817063; 138756879; 498032485; 914975855; 861837770; 932270905; 849957738; 280115650; 830347169; 419465764; 890683419; 852339798; 908768764; 105688457; 683319820; 556534531; 109332587; 400718170; 155910708; 47274964; 506130433; 205852542; 932773618; 160871180; 579686907; 744649635; 336196184; 514630580; 315864478; 227684599; 330868371; 837387613; 192528527; 414254607; 305676725; 74946339; 709967307; 702276239; 20913925; 73139724; 552283874; 280904536; 179369719; 788024167; 949693725; 840237145; 511620589; 426443482; 831940320; 297506106; 706304974; 968238058; 810547796; 212555071; 833120839; 57037685; 88788643; 469975793; 177567093; 251815856; 488609105; 637536492; 747421048; 86043301; 104907235; 259304280; 305332132; 800504653; 827505212; 235947912; 157035786; 762680689; 501627794; 641421845; 214520658; 330911620; 112348813; 486168408; 80908449; 146357047; 588603774; 922618833; 790777531; 328027076; 373440832; 876372212; 336677425; 442182997; 158577086; 872721279; 941490172; 192651100; 950121949; 920798984; 130388246; 863589845; 19446199; 327015466; 840746181; 431984306; 179483013; 755393712; 713851509; 48893701; 746018419; 883765073; 504331758; 772146176; 492272017; 820357695; 96557021; 181776954; 810717424; 849210412; 539462837; 143897315; 656963115; 718944886; 503637592; 848011186; 639542206; 91839929; 163567111; 766979571; 929706502; 530631158; 984312871; 323518456; 360147516; 652364881; 82667630; 701437760; 561343444; 884628159; 800309479; 114709057; 996311855; 191561700; 835505038; 785966849; 195355266; 335323656; 677539884; 813447989; 642591856; 440732280; 243592343; 539772141; 448568103; 368439; 926285248; 407496359; 465644514; 374977968; 654827506; 608940051; 696145267; 229953602; 671488569; 401866260; 955620428; 379557012; 178148842; 846984594; 661771272; 29992296; 795765512; 819535483; 401510753; 666044510; 107998653; 294570892; 236077416; 841667007; 450022919; 163798017; 226820088; 254389907; 62878284; 462315333; 316403723; 834036694; 982580324; 526159765; 443185818; 660846445; 655471346; 656236737; 388712220; 527999410; 503115688; 436033529; 386566699; 284855684; 411923746; 291591914; 976780907; 655086673; 415214020; 134176614; 344742464; 274113781; 764521887; 448455857; 338619148; 287736785; 162069939; 117767146; 275269128; 807980183; 677592470; 8904466; 745460311; 396784442; 658191692; 749474761; 708722704; 249625503; 825965333; 608221270; 638051186; 815263493; 133260362; 144562719; 19128252; 157197069; 54085982; 814875594; 918774832; 74595292; 254206875; 428777065; 197076641; 398703085; 754236479; 483148150; 297604206; 576962887; 268988626; 11444175; 788397289; 89084187; 46440800; 899715607; 353773910; 123897304; 177489192; 569151664; 446858813; 179152220; 647193939; 827142314; 542051267; 980309899; 361641513; 761723933; 376737494; 32352898; 920581336; 888733704; 754344285; 420471035; 242320418; 111758437; 156354479; 547979653; 925270587; 753842520; 836883444; 723807311; 323218780; 802348382; 397097667; 799371886; 494599852; 497658110; 160882593; 159581809; 925697188; 334721938; 778808286; 983803792; 776609535; 346172535; 918514437; 342048235; 32592503; 959538230; 195752510; 744200025; 394958806; 307067966; 353056174; 33357541; 938719452; 452487831; 953736525; 91538788; 835321933; 14662852; 443620109; 14095416; 144582334; 994428952; 221370093; 103816330; 98298082; 112446481; 600099800; 711657368; 795741820; 633351938; 726944813; 878378807; 816659384; 893894872; 170387843; 101248467; 780188561; 232870519; 100191210; 701316031; 934916654; 381443339; 271151078; 16061899; 555248202; 384163349; 243688415; 186707724; 181546269; 982881862; 793197865; 157356563; 294952851; 712296288; 512313225; 524785900; 509117492; 580503429; 54443948; 471755345; 231945366; 898195979; 577138597; 665437838; 542329524; 636620541; 800157571; 442215366; 763596409; 753082067; 547805195; 28688727; 805401858; 247541501; 994492692; 793923218; 237178686; 23781941; 892887311; 987643794; 512890155; 563210268; 711766615; 179719485; 212756355; 73742432; 382040913; 774234845; 205608438; 854970604; 164895028; 685227628; 372574990; 925276444; 625419536; 924633282; 760830483; 193763574; 322690107; 110547838; 390319102; 9764992; 666607406; 596902685; 704233813; 860078670; 276497234; 539034905; 496237162; 842637053; 419044945; 855505890; 433189403; 566312060; 757874013; 292867504; 505535174; 579310212; 629836768; 519980530; 740237456; 785080121; 182857255; 193003601; 306125131; 760482231; 221069619; 23281586; 50951787; 627041767; 394223034; 345040045; 522402810; 559968319; 967357821; 722768843; 308243634; 356074991; 138330983; 206517606; 504999298; 316690866; 781787854; 730038089; 443241546; 827104287; 887527553; 994389013; 123938452; 826720655; 875655865; 40096583; 35868985; 70578375; 413040676; 734511721; 595441334; 217820515; 488429076; 701007791; 373237357; 959452237; 823054378; 446916771; 794794712; 45757616; 324422755; 893130620; 929906956; 152967620; 319906422; 968499608; 242568569; 136420576; 519451491; 855656183; 209941780; 915420147; 659835020; 258855951; 614218773; 390749259; 809895336; 69838226; 978080798; 4451337; 229525206; 378006841; 235753620; 581779628; 599071430; 634992492; 237514092; 572161015; 861061659; 507824284; 288165143; 544004313; 267451446; 912100705; 94788648; 183437500; 753406036; 12432273; 684497887; 213046242; 264929465; 87924610; 400802719; 714474667; 383870118; 953745055; 773467227; 751995346; 835241369; 803242010; 75760351; 706632759; 914426041; 849689741; 626645148; 387408606; 522871455; 503465847; 1729239; 204875998; 724580790; 548482794; 855194613; 677692557; 382042476; 136310466; 100902360; 394146739; 559463761; 41107191; 619307704; 451782019; 722842261; 149202340; 527929095; 343327334; 920041714; 219151741; 317773804; 458774067; 685976648; 633156451; 777288513; 659875617; 620734796; 8115781; 558904445; 330699046; 297100803; 554252897; 339945449; 476136590; 882302308; 195207157; 752030133; 272891517; 328986697; 251616238; 664269252; 196420510; 805880467; 854818014; 210756638; 249295726; 428617938; 625638643; 730338466; 665259552; 913610988; 922224435; 935479998; 860773135; 995955771; 24363542; 344616096; 947868060; 480512930; 152612131; 622120017; 124009538; 502111162; 592556549; 131060674; 857640290; 874666726; 597017294; 215423175; 556002744; 335166160; 904169195; 903512268; 642377639; 212574978; 744202703; 934083146; 680193481; 861236406; 38755038; 625549379; 251133749; 522494355; 983260803; 307833018; 951707517; 7343783; 879548077; 326575680; 13266689; 618129471; 367182622; 761849392; 298946502; 74787955; 276543890; 128396197; 513046135; 680524730; 734006661; 792220202; 450212445; 893453299; 403043622; 403904202; 219848345; 157546738; 143047633; 520125776; 127098725; 862051562; 134306797; 259182772; 952689403; 756217931; 849226779; 861479970; 407907674; 278948920; 846587045; 967091984; 268524589; 640266995; 933732723; 534333384; 63235519; 373127757; 569866842; 536893168; 618479535; 529273212; 774455488; 418720659; 344864787; 639182936; 893706288; 370166368; 828943588; 183280054; 280052755; 143907082; 831798117; 51252617; 866280316; 29391423; 894713479; 47363760; 709241223; 178544838; 171614155; 836965301; 580863284; 692624323; 662495888; 175860559; 593046462; 312427681; 440879106; 160234840; 759852789; 475589953; 67835563; 223830146; 36253693; 857787674; 743318455; 842785511; 595012565; 537718550; 247268777; 688942075; 50901933; 408962850; 79257096; 903182629; 493630287; 82240673; 666667994; 515728885; 143243634; 124009221; 348078864; 900397983; 713628455; 752490658; 767118452; 120968954; 376516280; 362803549; 567928938; 131544933; 615274934; 189237423; 752629039; 779423227; 937898757; 431610733; 888481298; 777958954; 3772096; 997084290; 251486732; 267646194; 886407238; 400149833; 675847101; 289977692; 586440003; 965753275; 190138075; 473771493; 741250386; 853379567; 546504436; 385408901; 905068910; 514152059; 357123269; 766383861; 171671325; 731494758; 863186618; 800420383; 195468904; 707940452; 634343068; 184648244; 920607596; 180660510; 540353755; 524174021; 987969893; 660594493; 502504720; 239235074; 317492939; 600247330; 542988347; 993254229; 177307708; 679297616; 787255843; 368037692; 403728984; 862267268; 728021653; 436335289; 561946925; 294414990; 120604902; 216268433; 558629722; 308355883; 688752881; 742786498; 465575636; 455544983; 780087046; 319661645; 431726641; 405090230; 852955131; 493880700; 74595975; 170584942; 299050742; 518414702; 605125202; 935908407; 909598635; 81898604; 928657277; 685835291; 901735937; 412609179; 950570473; 738222487; 491394226; 304634203; 404540954; 228423653; 538899781; 267848758; 769219690; 696890279; 495687599; 698531125; 54264632; 67548286; 650572968; 985402864; 760108730; 593032848; 555231717; 949425112; 747102551; 494610245; 887570291; 691230408; 833036030; 115079861; 424798710; 125968155; 374783846; 151915334; 359222259; 845575540; 405534026; 670244493; 519851063; 951660848; 945236610; 54872024; 741906152; 44655901; 352336743; 586772229; 990520565; 966938820; 593727091; 889281087; 581663579; 169510; 747328881; 400448899; 479154834; 686325590; 459304478; 722066541; 335417196; 98275071; 361367558; 326683862; 173569818; 836694299; 219038141; 91650008; 953673022; 598888866; 364291302; 45150675; 690194250; 841648058; 520655873; 761978087; 789020790; 84838839; 155741394; 452635457; 187666921; 802402775; 975660920; 909167547; 769476319; 436769058; 669150326; 767354272; 475024577; 1240102; 667815512; 39408234; 377346150; 798680526; 926737793; 14628095; 691460568; 66239560; 885116470; 220468129; 946508311; 524054958; 811121729; 68017249; 938921694; 513449358; 330071777; 950474895; 953684618; 848714612; 957459069; 500039640; 128637637; 97127304; 100095193; 524635402; 850509084; 291688432; 660856444; 921667524; 248997293; 123121241; 510057096; 224626672; 521573178; 273462494; 452256140; 4055520; 390275419; 921264594; 422278561; 102047182; 20554424; 51293195; 245093644; 407149180; 925690102; 520245031; 919073486; 751701716; 135206552; 789303604; 87105066; 373680962; 789135409; 454036279; 627942981; 924865253; 312139381; 152771610; 49407893; 488882074; 587008901; 465960235; 265116692; 155758580; 30509290; 273337605; 189109861; 142854504; 49035427; 674270223; 349238696; 681997226; 6203812; 236039496; 4241982; 448518696; 181043515; 337989413; 469422763; 8746846; 404507295; 572142400; 521897837; 572711705; 52706405; 41200275; 829782735; 798684437; 153476329; 77204318; 384520567; 243417784; 765459794; 323189912; 748247311; 440456663; 955883508; 182914326; 744610157; 841448884; 376612938; 760561700; 652218625; 845134273; 54936426; 206011691; 370738980; 570651447; 746960097; 694717876; 279158420; 478964424; 692136995; 222525178; 819192097; 458784290; 367166537; 240148067; 583025415; 876173110; 905946779; 756825527; 760735350; 489436035; 670991439; 515957368; 365398856; 708070110; 713445500; 777624352; 897561217; 91129301; 728049700; 782302035; 998276014; 630413315; 683950393; 181443365; 796518034; 127543039; 806821145; 552317928; 423164292; 48893362; 212925868; 568109701; 479181840; 226400581; 358922000; 708316350; 963868441; 162647428; 345951633; 403125558; 253569382; 806938814; 274682382; 146101202; 876863834; 370207321; 538965902; 248123947; 150724922; 277452362; 169740630; 930282512; 391436449; 239357919; 308727784; 170868534; 747340543; 733369172; 229884628; 476981602; 243879274; 468470738; 780243521; 294536240; 902801220; 933012609; 908906117; 646633730; 917488309; 225841513; 854494839; 192084228; 231109777; 660040991; 522476308; 950017555; 390620771; 278533750; 992481517; 698504522; 509835189; 129087413; 633710917; 16933368; 753910721; 539931663; 20346082; 590571682; 294645497; 726375855; 216212909; 414015886; 32597803; 28668272; 446679320; 422154640; 270059626; 991070652; 730206614; 424632321; 882637673; 473703010; 649015504; 889191062; 347572214; 921661337; 651477777; 182399655; 317500126; 766906332; 668128116; 663392617; 957301072; 746148302; 852604785; 180017638; 731166389; 353106492; 908401599; 413236400; 812515656; 22411953; 766521031; 564514165; 722241718; 191764041; 115647844; 444433391; 32239772; 710675047; 169017470; 155364053; 902210281; 546095837; 917184986; 601233657; 27182138; 238360458; 964160462; 959276609; 771590866; 996640454; 905369934; 610244021; 699393057; 513606210; 883829028; 244178150; 519040379; 723129320; 470753376; 473528252; 879745059; 596595560; 397897423; 467492083; 921099332; 880769847; 271291500; 657414872; 454981422; 532480930; 314577755; 940795090; 765646340; 274724207; 314077446; 876069884; 751563425; 926995865; 257714606; 944861989; 113599099; 150005398; 971439806; 830793982; 39120374; 396450381; 378057811; 996148710; 611278782; 518656498; 649374468; 973899284; 977336521; 481414473; 366341789; 661000026; 194207183; 627034979; 96981609; 895049463; 334305899; 744419888; 455142153; 446588904; 679797473; 873160251; 653843571; 769966969; 832290286; 32902901; 868343108; 770515251; 230276019; 205951235; 195454041; 546286386; 204371028; 589218473; 895920105; 850783613; 761761197; 345638863; 318342676; 927633712; 753193876; 886211002; 510963519; 124885556; 884570341; 157638712; 590178653; 98945377; 179808775; 536235030; 937568974; 288712975; 948274886; 331881550; 634353857; 757393355; 673292867; 516125830; 31016642; 414063610; 744566339; 119299730; 257348501; 662277552; 677976210; 632514767; 714022595; 356463512; 445835172; 81112790; 60822693; 263284653; 279148857; 408619834; 365426834; 613869908; 518460288; 856929592; 835542313; 743906765; 689328836; 348966221; 178233141; 946484780; 83300550; 617207220; 424121271; 775408201; 948766486; 572270908; 665503795; 420516896; 568600027; 496372718; 59805556; 159753333; 439754766; 774779166; 665732821; 513252321; 165813046; 427552777; 501248545; 986746273; 614019304; 662789410; 433093032; 514183858; 595142926; 267506055; 743242572; 668053761; 122006443; 242475971; 260320454; 486761238; 696471514; 741174514; 208470595; 709524602; 745688379; 721395404; 905013656; 488037690; 961898348; 393301049; 957946703; 318273541; 356614873; 683240152; 86339491; 252242303; 94772817; 686975064; 218819388; 222598502; 793847592; 942507782; 379082810; 87699605; 90765238; 505825969; 574261670; 430246184; 111393731; 138889203; 553104504; 362692526; 262002398; 198327426; 355650958; 614774966; 75930059; 37748405; 869753293; 720137860; 290784528; 658712397; 154138801; 75545878; 282424477; 437472567; 583073375; 883778440; 120452853; 905154520; 389495379; 364552523; 671337402; 62006873; 559141277; 723930066; 294170345; 441937041; 695763151; 789022551; 873471553; 727356072; 943602610; 869219821; 546139355; 333760421; 490314792; 404718155; 530598927; 10561213; 1655766; 660561122; 957123195; 102888535; 523370502; 19913423; 340470814; 614001199; 894493343; 643584745; 724740996; 347205444; 868462978; 934462456; 71233720; 192820269; 341894863; 483575442; 363793392; 615703899; 41530426; 610643618; 711175407; 315383461; 470124807; 549500251; 387619570; 39353463; 74161946; 257432427; 598957091; 79122299; 515605309; 171144850; 222467704; 876312958; 869008144; 906359354; 991046768; 887358959; 2998062; 42244682; 606802457; 820435030; 945278257; 348174532; 197265660; 856048928; 137005063; 200412656; 219275767; 655118783; 379829483; 82033627; 823449813; 433771475; 35616642; 803939391; 778527095; 384390971; 993844785; 613163457; 145936581; 69209030; 645028096; 793305241; 149351846; 182304576; 12578038; 745135666; 479011947; 937781590; 573695512; 172145588; 753876254; 159388559; 901067010; 212489162; 46282452; 789315904; 549845880; 297953397; 296966148; 245394344; 915256516; 105541877; 616629881; 752031544; 859862792; 774746839; 720778857; 449118578; 176251278; 713918570; 650596473; 681705411; 840538642; 337062281; 363127289; 74395005; 72504180; 793721771; 752608346; 87047545; 851317275; 611117093; 284968102; 465771374; 63277870; 547255317; 800604665; 447471624; 692163811; 947039758; 244037322; 817926984; 837787465; 156086647; 38022451; 812879600; 585916860; 966561067; 112852263; 961926386; 587938845; 725168147; 506505927; 581105151; 816047833; 8301876; 154807495; 962733270; 88957551; 649268502; 833104028; 574493744; 321080055; 947734638; 680301625; 404047114; 182546184; 885050286; 286814353; 2185749; 403312728; 656366850; 127723420; 986602305; 25265407; 467338417; 766081880; 206507203; 548629610; 755640445; 943757217; 955201728; 793809133; 678977614; 785091445; 224179967; 574428045; 187276613; 212216011; 476993387; 330661161; 947227302; 783505883; 330122322; 872326336; 639332590; 867007043; 536251238; 574261285; 93741686; 377476997; 656432266; 87986425; 681180316; 341937178; 597909811; 261930500; 945645394; 856226259; 103829619; 706837737; 525494369; 487643794; 299100051; 673781646; 488944536; 831900591; 823626397; 874546888; 582111677; 312106010; 961333147; 341349702; 576227641; 345038902; 820709580; 95910474; 742330081; 236433005; 863855223; 955053645; 18955068; 765990187; 604595588; 90773005; 579390670; 804286690; 424355703; 392307454; 509890995; 944483786; 503989989; 72616422; 373958548; 685627523; 368543567; 649617295; 473788300; 802095688; 365984053; 589279509; 267911886; 83021921; 402997984; 163397157; 752367138; 63736686; 245444917; 502356088; 722780469; 671373429; 951560541; 431510277; 728323178; 316091121; 643170117; 466419457; 196685183; 123538430; 133895657; 749004938; 873324928; 33141694; 861230019; 724775758; 691914652; 940196512; 500792776; 116815233; 594381666; 177571067; 621827302; 333167191; 24518101; 41413284; 985835482; 253500590; 131041651; 47425430; 283229398; 526393103; 426116867; 804368179; 967914538; 125995; 513875641; 131545703; 714140748; 263719060; 434528109; 723135746; 277656880; 924060868; 999414453; 571799130; 771451146; 82088849; 23304534; 746797883; 222291299; 48003783; 650928365; 282129789; 792408087; 867699649; 672170461; 637690370; 587971474; 751450500; 240910046; 859915261; 476689021; 515299494; 268851858; 162318380; 757549326; 432181018; 395410942; 648953140; 372661969; 299889815; 597419089; 574247071; 446836127; 321471354; 251867548; 750304051; 98016586; 952207722; 191611246; 939564147; 642666568; 250773804; 644257420; 100685236; 745432999; 807123894; 476509621; 783167225; 673158218; 576445771; 222794393; 162270810; 122510261; 531129174; 805902143; 410790143; 713749862; 796224386; 28950555; 530345152; 447456316; 989753525; 578911610; 158583159; 446332158; 545476761; 848704269; 727022531; 320462380; 891327663; 586601136; 314131798; 392740852; 898516130; 252751982; 312667117; 363303407; 541386308; 865143620; 182257351; 580193362; 802275639; 824759852; 525439636; 388098228; 203398436; 752045221; 369779165; 386862766; 576989726; 652408367; 382023340; 801511857; 203692190; 48505396; 665792738; 628258887; 970107321; 456581835; 637089456; 479399978; 762098105; 949752544; 247484042; 665546735; 53578362; 72409449; 207886600; 272963010; 852085119; 349199065; 997446837; 132110651; 483227889; 841775473; 904714774; 637153119; 461450708; 866296057; 869699720; 871945485; 252634706; 165916156; 25419359; 727507135; 306169115; 719111750; 569152385; 211911820; 593314160; 635763587; 612017494; 249834684; 791446420; 969597938; 792215812; 486059857; 418816021; 854883057; 741272462; 307090607; 545227223; 616807784; 695520764; 157825147; 55509894; 54710947; 401051742; 473681414; 944705836; 921281938; 827728454; 303228186; 54022369; 583885208; 663372368; 314649148; 18330942; 277414561; 379063829; 374890745; 647224851; 218624519; 413977447; 192128488; 709650413; 797742594; 188326760; 499040377; 290456690; 868918357; 750120637; 92502220; 908241898; 293404537; 19540918; 735762928; 116535022; 796352966; 934971322; 549772703; 386513135; 329675703; 906195310; 344580588; 655507149; 261342670; 691907379; 621894058; 625898307; 967726115; 9506399; 13894509; 642691464; 843466097; 913057040; 304446047; 657632942; 733974725; 679099910; 118478591; 62437861; 371440432; 740846538; 314904295; 251969414; 981295152; 937476158; 67969020; 56926822; 446274134; 197867013; 750491124; 724167695; 618650134; 91124791; 795024561; 782726988; 610955009; 73229578; 908259936; 861284216; 42684369; 565533247; 313307291; 908117302; 351066919; 33239469; 368494655; 349932206; 326267105; 777069220; 949141388; 646619187; 652104188; 659108573; 613979572; 519970523; 896761232; 581141366; 507251213; 614134550; 281389976; 762692361; 800521517; 614476007; 84739727; 417597618; 473244106; 392515412; 842326800; 76899402; 179857924; 135067205; 159035886; 891228001; 545556682; 753058673; 713208623; 299539686; 693010361; 964493849; 28068328; 926702974; 162495044; 110731502; 827530711; 219214657; 437739407; 265925030; 741645973; 291552034; 961403175; 268381107; 123526437; 345563092; 375371427; 671887685; 529128824; 403941709; 829345245; 680157649; 271988229; 822422384; 744333955; 583108432; 851826443; 775330832; 70470292; 123379714; 369449503; 846994471; 384764634; 138473055; 99875115; 137296701; 961097037; 654124429; 881782127; 817704544; 236943234; 65069868; 850201763; 687215016; 72518897; 827718835; 855601984; 331061912; 995218631; 344980723; 485754731; 692377712; 265864576; 176031367; 874185570; 829201611; 498816735; 729062668; 230573439; 832506515; 344535764; 918813240; 358594145; 461637754; 4074483; 376639845; 640937829; 257651751; 255618037; 701840512; 291789657; 645080074; 846832358; 295880587; 570776882; 763833156; 757574934; 571754010; 470087913; 397175663; 261004695; 267569676; 96886704; 365446329; 334423528; 122846927; 219803984; 288277520; 30005991; 423214481; 706769011; 886131332; 428671501; 701919854; 917312345; 819274147; 232048440; 532663351; 26612983; 648436633; 89617310; 744258122; 540694038; 71300066; 469029651; 115578805; 818513700; 176350856; 485844976; 26542856; 51908940; 92134759; 372112087; 257659731; 711577965; 424012070; 638424167; 185205609; 299932715; 135648636; 770150606; 992311672; 384359187; 6314245; 435080047; 919662150; 733393941; 976395414; 439370250; 763603894; 701495011; 719402320; 293600071; 391596044; 36937169; 985246774; 918964476; 295079198; 726364368; 955987565; 745590535; 60071943; 448622840; 16355419; 803631002; 348023011; 258913618; 40210488; 67483000; 795675437; 129354431; 198172990; 736735054; 916407434; 92381533; 717064368; 957434693; 158049568; 4026733; 596285400; 31160033; 401877756; 896552089; 161288612; 284432964; 77730185; 71374632; 147745860; 149376058; 558478618; 125708246; 582813515; 283714928; 939386391; 786369308; 48007517; 496577379; 865930736; 265086092; 545035943; 398122240; 838068375; 91843685; 662420646; 665214562; 151213794; 324608622; 797196930; 135862821; 653056181; 12054646; 817436559; 556914381; 613263381; 735121997; 310657433; 903410263; 610863497; 694311387; 597459204; 122168567; 409246243; 126030708; 476919633; 781551419; 38237327; 466755438; 172987115; 948450172; 950565806; 919799338; 811451726; 892843954; 121019450; 971918178; 366472010; 880539528; 926002533; 841147378; 629584804; 425321941; 44427657; 474185481; 782303056; 605971090; 279027766; 182544206; 323951367; 885627018; 643868531; 26036143; 794586594; 313312796; 644735878; 370759302; 303716918; 645740256; 947883099; 804812889; 820590077; 918489339; 721503268; 365478558; 299305986; 209907412; 730608442; 206613969; 453180033; 660718401; 712985456; 792820281; 440369194; 588452859; 525355316; 447586143; 755416500; 184099262; 601680342; 936501763; 168354080; 351198187; 270615434; 118281395; 487197805; 606971477; 422710473; 869408144; 58362397; 398455366; 921993621; 302548509; 940916216; 595126323; 351550489; 813117855; 197350801; 505510241; 652647209; 676400268; 873083195; 254842234; 737119113; 981538986; 216184867; 38984402; 603641084; 356706006; 832542210; 701629353; 38966880; 934486007; 222648011; 524034106; 679401823; 42995380; 960887587; 322968955; 837481611; 505458966; 837205523; 310958291; 834218518; 188087320; 882530642; 339309318; 5548886; 774186365; 55126581; 153329408; 921843297; 962838481; 37318557; 316558658; 405898964; 302179009; 895008428; 704980201; 115692980; 616289619; 30105671; 422470965; 372147688; 408975359; 834374490; 128690535; 238091114; 300107469; 653235283; 258696689; 723754292; 799250810; 421436297; 426875724; 627379467; 316862194; 212861259; 292567870; 72587094; 107057928; 625158626; 354465924; 889605769; 535516522; 122320974; 780222492; 155762412; 78838290; 542993075; 783741614; 114846801; 191170335; 618906683; 833549087; 978333073; 325730972; 973008; 554376578; 185567868; 631064278; 504426122; 703966597; 879759001; 668378942; 267525919; 373125639; 800582130; 554317752; 453395563; 253144815; 871047699; 440162809; 762511470; 246795969; 3579179; 198432037; 729627349; 183011607; 81956275; 177823323; 969874865; 289999843; 768770324; 308152815; 951109195; 587550959; 787866073; 971240919; 455934360; 105520866; 154224933; 488503671; 467933927; 803585114; 287435763; 520722140; 166885373; 8939219; 793981255; 990581313; 584048593; 894308833; 175327895; 268133876; 783004518; 374119071; 509002841; 342607118; 610283614; 202107234; 832545698; 787162571; 380143043; 658455643; 642195185; 421062846; 687232705; 542563480; 413958315; 13354060; 561120305; 191377378; 148778803; 879879478; 345584778; 265107426; 473617101; 733407333; 245029493; 727291088; 351145573; 221766210; 297243697; 589953149; 122058881; 793146176; 871389499; 23008782; 103066808; 54969358; 337834797; 796335826; 380660881; 592741120; 290920908; 110097776; 273945345; 870191289; 199250902; 191897106; 929821734; 726201181; 336579445; 281945530; 779486459; 834732610; 296483037; 115386994; 801314465; 90005670; 242641004; 498780797; 650934937; 829729989; 6250055; 101062684; 510419173; 935009964; 469728953; 864435170; 297382689; 641711338; 792558054; 569088398; 632214889; 19529133; 673514825; 570700647; 372659095; 995517719; 504625940; 680827544; 545368950; 139757300; 330475496; 822195600; 608280164; 836918854; 257080794; 547138487; 128477153; 49950962; 260424626; 949002067; 539697789; 234867684; 932434259; 617144487; 214506720; 310608065; 487426512; 938616751; 694102541; 882031404; 801767510; 330399357; 882424482; 619783792; 957319597; 36837235; 126289994; 857124975; 167158044; 42202751; 207618356; 60578422; 210951858; 807769611; 622706717; 43516881; 699573099; 69431193; 433951490; 807351713; 188505355; 930082086; 739657821; 575015213; 648746156; 388392514; 783664814; 146620680; 393808379; 676070677; 800329032; 443080813; 121171833; 582628487; 822863124; 766830521; 417848240; 880487242; 496710183; 345637463; 335913816; 334488710; 539291505; 846870684; 573024946; 614748148; 278225405; 197956896; 415867284; 474940220; 228240667; 401282812; 145136335; 850879366; 860862769; 674030433; 898699841; 967407218; 662617711; 260188718; 932013762; 626485223; 710311892; 919647569; 884764728; 239049497; 934246996; 307796244; 279059173; 863502994; 842756157; 270302447; 56130784; 486427142; 760955528; 666183411; 497727643; 752235514; 659196962; 236376464; 691304709; 488308301; 689772466; 752922075; 896850820; 432766454; 900536164; 420451421; 142067254; 888162318; 202914887; 520189869; 252528423; 896148461; 43309874; 428623004; 797848884; 284223150; 970300636; 276153878; 648219937; 806889623; 215699788; 414960170; 647343680; 238556322; 66819800; 253863080; 990816576; 423965666; 283460600; 295864556; 246515325; 334535465; 185680846; 578869785; 643925029; 537303246; 140796824; 689568371; 736265660; 846745205; 606636577; 262227356; 402192667; 748165969; 278305242; 216308487; 274764669; 208516067; 732852660; 139190700; 722946743; 615041488; 113938777; 739573071; 76085666; 846167554; 624831917; 885508544; 553645561; 757273194; 72797776; 61337061; 710864480; 888834643; 430217005; 596819200; 595973776; 47590668; 792272784; 601856027; 9053409; 480606165; 976467583; 93304345; 673009343; 326872034; 894337989; 32740638; 369059188; 607650689; 325167476; 852837395; 760362711; 463437657; 222280471; 836898076; 390258311; 458812261; 630259595; 669545286; 83700780; 652489418; 783383001; 664659386; 999119745; 606554486; 646490719; 549950799; 890518905; 634425247; 303549941; 828537048; 297274988; 744411503; 162456648; 844079218; 697602220; 738468053; 702546518; 664229719; 298094871; 408468596; 358906145; 175057725; 428280163; 123494983; 391145240; 174527561; 919408225; 425567432; 425694693; 352398821; 651850835; 116615953; 850325737; 20890832; 300926530; 486196326; 576737184; 84930926; 544794690; 373186036; 914998246; 552748274; 270597679; 715147765; 52825746; 45715533; 293806876; 164867075; 304794208; 312531638; 208561339; 461238696; 635338474; 286591171; 895830041; 6137051; 254160041; 431842319; 62217269; 959100097; 585989663; 455950; 428199474; 168396950; 442832694; 423898529; 157721403; 795525827; 530459192; 437695038; 442886733; 678463458; 841337099; 942179102; 538435426; 273866141; 83783746; 527033168; 373121825; 206212702; 737022124; 989889910; 320877500; 683326707; 741004540; 573971213; 635449523; 303483178; 10873287; 805273541; 810169506; 786856008; 448378925; 207321386; 776403854; 70347931; 489768159; 493131075; 573773683; 123215004; 898359890; 233290576; 241393386; 464880394; 996090898; 827974790; 418846058; 300129056; 775253067; 770333095; 670684669; 666460806; 504656866; 390695524; 806826378; 277468755; 519047091; 848144932; 823833906; 525597093; 525167158; 51213398; 993312138; 144617802; 851807999; 333071486; 561132867; 618989000; 342119032; 583203138; 484486484; 719142326; 245076259; 752838697; 127840864; 582856190; 337220623; 906600189; 363494024; 761332774; 558074157; 900177875; 66174970; 71387723; 41694087; 228065795; 82339314; 814630477; 678892835; 555568471; 466379686; 997421352; 133772779; 27582946; 661670372; 51989283; 198252047; 997003270; 320012117; 320160541; 907069135; 83866473; 822572240; 382316892; 944129569; 657109212; 433291076; 565217204; 938290874; 72537938; 659884132; 626493285; 739705769; 580969423; 835569731; 302617243; 107264369; 25905280; 715361231; 187268133; 253749628; 691551820; 651518567; 795458124; 241637971; 11004841; 134621212; 553167367; 42264991; 784860869; 688180260; 747787763; 180715356; 731896671; 599916432; 133942594; 936275730; 681218923; 745671286; 996671653; 42166412; 667810006; 455941547; 139318322; 565118063; 941224400; 36186815; 166873507; 520262570; 262884483; 731472898; 197882711; 611595984; 958089760; 576734356; 995293320; 701309870; 774629810; 977683103; 471192241; 230746500; 308941602; 782582665; 746981066; 503189902; 242622443; 144004851; 219764093; 69797326; 135369879; 195206200; 987949131; 3870140; 121464369; 177226595; 40680502; 331614277; 433641582; 544475723; 337862367; 464517350; 481273221; 797106375; 443013777; 517783312; 162363610; 136048610; 10331468; 230640476; 898641863; 78431535; 120253436; 110905862; 947648743; 117209500; 226352874; 213526536; 166660411; 254702766; 256979993; 169681677; 513398699; 603487934; 528729207; 493408158; 793660306; 713179061; 157920112; 110350264; 353286349; 17160461; 304475789; 806254612; 413475701; 961069815; 84559904; 118309233; 247192970; 45474104; 425187152; 838209941; 477007512; 8990173; 306531001; 632855156; 854961784; 699122457; 160588927; 264533675; 392528414; 202018487; 378289105; 610141226; 919733698; 694704368; 60013571; 532393389; 413464420; 473309961; 606084597; 406778092; 640898159; 41202673; 101345986; 840042152; 476760631; 390638864; 334163680; 899650388; 885486445; 473717097; 804422523; 648008086; 807189965; 723491503; 207840045; 538981609; 582396408; 114215828; 844727100; 922630662; 291679374; 338914322; 376098108; 57897581; 481570858; 108397800; 922935329; 512265827; 614349604; 657014519; 232392826; 744165618; 127877604; 554874390; 482611437; 396163312; 494597577; 723821942; 808097407; 228931748; 131045972; 417616255; 529455811; 800380252; 222927595; 547627559; 668678048; 122623875; 48217216; 71771606; 821386186; 313591805; 234362888; 94352308; 907659883; 655154433; 980029655; 516776520; 507607316; 34627093; 473574378; 519698183; 303983128; 939777357; 856787029; 566513300; 167999905; 561584603; 328209034; 533300436; 909778408; 582422596; 992752219; 3101106; 443293817; 370930737; 513420998; 193544401; 712644811; 771750719; 534986335; 952324215; 276149214; 92988547; 814940868; 287954444; 590889408; 927997816; 747043433; 667415701; 228666482; 480251360; 944581131; 34364736; 419540631; 503614028; 335130541; 539341966; 246487934; 364897467; 566386334; 931030570; 189582676; 269255351; 736094644; 170996985; 803257254; 470517878; 395534033; 481914480; 859394623; 340493694; 238686631; 734960758; 398047727; 851459636; 425012231; 875225830; 281042766; 122924977; 350294244; 694879136; 929177003; 882533016; 194055301; 132616923; 637435856; 658629935; 834346978; 775387232; 817744912; 564893145; 593492894; 106499434; 120449649; 524096663; 672830173; 952071694; 836062317; 588341541; 369804997; 821947046; 964796894; 819020498; 221659397; 851026132; 573570475; 162720721; 836047305; 203980725; 589021348; 250586791; 595644069; 252308421; 555426215; 9392027; 125363374; 352869545; 160428056; 494852331; 231172421; 421694949; 968705062; 701656916; 193926293; 771513449; 642516064; 70911214; 107252883; 87774313; 928345081; 52030812; 799208385; 136177634; 593750270; 907050324; 434465533; 695257862; 493157108; 215306481; 522363120; 589390081; 202008631; 169374678; 756676193; 251932506; 139074378; 509851262; 263188214; 671881181; 328504690; 783929195; 171522176; 383513435; 2777667; 869116635; 90251721; 282960186; 48782880; 729969927; 100519706; 306127832; 77754925; 470914455; 441260190; 978239297; 203970673; 582749883; 150681491; 573463688; 33745117; 211324023; 479554379; 50635577; 614898890; 704719461; 217361929; 558489662; 418947951; 676893400; 97083721; 403314690; 827942904; 926400335; 486095572; 16141615; 885806248; 464367906; 739293432; 325010252; 561962572; 807291394; 330704; 519951221; 811603146; 741667347; 213820291; 183956594; 115243636; 517460253; 80459800; 974764954; 329869027; 513146719; 136684251; 121011713; 903212516; 358236421; 720789357; 508044234; 680048256; 267357321; 963428002; 214734498; 599181797; 50709771; 997750222; 969043820; 969823708; 490106795; 948323714; 32289800; 242273588; 82324271; 224813376; 743461698; 346689277; 501334939; 672602906; 66201247; 497725540; 22752167; 247515037; 533425896; 264256264; 950938559; 850965741; 424444785; 804181611; 771100082; 996074903; 227641568; 311464636; 216923410; 865960092; 532312448; 948279160; 49352712; 522596178; 514285219; 817128974; 755799048; 70343335; 721096699; 998175798; 126249651; 205638226; 721646921; 946055273; 930118782; 192231803; 300891973; 746994542; 398376072; 780361093; 630953896; 814966852; 888350171; 859073574; 669322181; 267241156; 674037936; 89863996; 774167547; 130810508; 616908159; 66096496; 424919156; 798725648; 289751495; 540417256; 338799816; 453302887; 243381228; 236085733; 446675695; 747127108; 305901311; 760555700; 272607418; 597362525; 600674534; 782690684; 14916341; 377705767; 19063088; 89387533; 674306310; 987982578; 932356474; 631657642; 435419869; 899017235; 758755887; 579699998; 395320118; 708399980; 835370561; 439754716; 939462302; 350459944; 517725528; 804810408; 113385838; 98406128; 174855935; 928696125; 731762720; 654225607; 100052236; 64408049; 120530295; 790069288; 22134590; 483156939; 858978773; 874504322; 903196873; 217932252; 516399470; 819260534; 570471615; 854423933; 618269242; 435159126; 170686550; 288737416; 377540974; 345658058; 314894651; 113676492; 869390768; 273396262; 55827869; 836107106; 946815955; 498782507; 695610239; 701622297; 678939785; 189238024; 601108780; 213816644; 186311623; 517948066; 718418547; 436590872; 491031125; 856955476; 296953659; 822881092; 334001165; 177396726; 499359575; 902773462; 636891393; 369600827; 147828319; 112450704; 152801680; 764010838; 510215554; 39623003; 429453048; 464397393; 56970157; 431634592; 527568394; 25703109; 445265957; 412632830; 442873261; 117227423; 958691532; 770715034; 970440436; 844876549; 864045968; 184027287; 877504316; 473763041; 229466341; 353091342; 193493867; 405958297; 435290451; 447993242; 106654511; 437308416; 705178227; 226148938; 850928718; 443147341; 626992751; 395978982; 156996170; 680395962; 884777418; 99240146; 174918682; 645840767; 492002300; 580694642; 367029226; 193964962; 575352928; 709991068; 113854089; 237017456; 236860974; 959965499; 836486714; 526074955; 577471237; 181277210; 490923725; 141715614; 828299637; 133169519; 234436085; 508198910; 517559010; 37367122; 56779657; 172097489; 516242959; 877302854; 449749377; 524707248; 906329957; 895764505; 630425208; 844426251; 819822674; 541632868; 159948083; 246345807; 321571806; 25267560; 700918849; 683224486; 795648861; 76462539; 899594597; 332401300; 348697406; 598476214; 408895968; 915994450; 468057035; 734480450; 544576266; 828767837; 719245068; 105376487; 512530837; 736357373; 470029422; 660995524; 665949143; 201029424; 100825024; 208118172; 763985837; 128866186; 802411714; 108950350; 936263513; 191876840; 106480177; 870323442; 128554853; 535613055; 938288848; 387714375; 848392728; 803940225; 265432885; 203140155; 790304246; 433539038; 408457921; 948152094; 141824979; 982435665; 324219741; 753133290; 458391443; 721247726; 568041240; 160924340; 763856950; 279534873; 481832772; 141031113; 176357664; 361022591; 986982324; 875032717; 658909914; 692023725; 947179049; 605808674; 633449604; 422936094; 305482330; 822728574; 10895023; 75447714; 782956246; 704436797; 245244161; 587688740; 786549415; 640337190; 904238849; 403310678; 467763852; 424853267; 610892635; 546796590; 270577947; 53554367; 759958163; 565924493; 22084820; 164252653; 739880900; 758403993; 52736641; 458276327; 982495188; 51748705; 913851651; 437155599; 45455267; 85456269; 826097735; 118969605; 318220327; 145152346; 616152076; 542785603; 411298896; 925548533; 154033799; 483943513; 602941344; 133606669; 55432757; 241267595; 94753598; 22481877; 444786315; 18464431; 166650880; 691834475; 886718522; 738297621; 945172959; 168607266; 758956128; 22507687; 23264575; 859180732; 973210276; 304454966; 546246027; 797561254; 922748030; 535938286; 360553437; 491275361; 686043795; 330572196; 228192418; 969523825; 757780798; 483586911; 181902362; 387775415; 100144486; 218254581; 163142316; 268531503; 76425536; 634018710; 722133363; 35276485; 653841233; 517599248; 983559777; 593495618; 759767903; 55171640; 944214799; 384376213; 628886141; 124033625; 47557029; 243022096; 164935379; 962245635; 557957704; 63487017; 346745386; 597612954; 964079123; 114195556; 803102658; 683016521; 164215993; 589758934; 188479167; 434217061; 375327054; 526647965; 590190113; 398578451; 897578561; 383336179; 187164323; 628805846; 103664372; 801453041; 109088096; 338550179; 595978760; 988977793; 972786183; 652487521; 311417796; 13494677; 552090872; 439620742; 131201903; 933723398; 963441317; 498082480; 782142143; 414393704; 665941895; 45267719; 391950894; 269477493; 949683996; 369957860; 86331679; 374218026; 659060582; 417624002; 359591954; 406935939; 905136558; 464801202; 60319458; 694953231; 568985282; 75846834; 12757687; 980277126; 242487512; 746027333; 730909819; 689930531; 453520688; 365264313; 863362203; 249768326; 998058686; 305151432; 686110597; 412139067; 354383491; 73173879; 701124021; 319475809; 355053807; 423226660; 431088863; 3968521; 58806315; 724550645; 625102509; 873045003; 182369178; 975152844; 882318168; 205337366; 747894383; 795373949; 959324482; 466179706; 671192835; 296119457; 20887552; 817306446; 561043872; 801622732; 468992429; 540056893; 158672635; 522004624; 152831397; 136357698; 159629567; 496143794; 112781763; 804620003; 437734073; 713949189; 586803209; 442039507; 110868786; 370678943; 552776350; 127081646; 684911584; 404762682; 662081750; 590069207; 670562384; 556761480; 887581285; 943625888; 133925321; 811772114; 304072841; 635051606; 454629118; 880897490; 758281412; 975821370; 874391548; 386038885; 120194155; 32414755; 420150999; 767664218; 785269898; 534218786; 758464127; 958824347; 70200623; 366418597; 540975881; 368782227; 963300128; 285880543; 491875588; 848544143; 919975909; 593619509; 971138451; 35171927; 15175132; 653325183; 684799220; 673514657; 554883329; 593776474; 11059524; 617216675; 381366493; 396245123; 253785303; 909522420; 202200462; 298600726; 65777148; 460925778; 756412397; 801108563; 373810765; 498447671; 160669202; 847573471; 158122871; 75201414; 417998506; 141954811; 195116597; 276869240; 442173540; 668344306; 183975582; 330082827; 568829616; 644112976; 418689402; 911443436; 110344385; 552062929; 436641193; 239910844; 866726437; 184140449; 323716542; 495749731; 760389256; 406180284; 249026740; 294016138; 828836363; 195362334; 759516388; 741771722; 785147910; 885218887; 1679353; 339359657; 265588881; 462472680; 752483389; 959064885; 444221756; 268764853; 356994815; 145580533; 649266599; 585128781; 38599736; 640127158; 831748762; 243249419; 632918016; 514812479; 98807222; 920195122; 147374017; 839344442; 736420862; 434600500; 202988225; 454806259; 45883402; 25345484; 805508471; 435542131; 842020710; 676517758; 532394653; 110012169; 743069378; 357226793; 613789973; 735885235; 443296925; 96723567; 302219805; 492968554; 372618122; 186520336; 111499166; 544318983; 844080542; 115024831; 178569238; 838187958; 565226292; 115345479; 922042100; 53376678; 704179820; 587972479; 733508398; 606033786; 906492753; 134309683; 764465879; 386279427; 41169647; 752449935; 59559387; 252485668; 275351672; 220390277; 339356362; 31085638; 809975614; 501851237; 792867239; 693345919; 593182051; 244788174; 277999196; 311381054; 612076090; 523860896; 454564057; 613060003; 221180519; 664227040; 419863033; 712196238; 65352736; 807186853; 685814296; 95681689; 461398767; 946658321; 550064671; 919120123; 869619187; 614491472; 247656062; 124489782; 806105951; 655924603; 426276271; 960765173; 728297405; 382376486; 138342820; 89489277; 54448349; 192523871; 541722136; 496201089; 537578973; 659433110; 902986365; 47077093; 691301082; 227473274; 108708973; 634025669; 526455029; 942150210; 371335313; 77850306; 233738682; 984174085; 829989344; 784371285; 976958016; 408449072; 7506161; 660001308; 425336430; 191243127; 684563888; 667088918; 943203951; 158535153; 697081657; 882700604; 688011691; 694117041; 699320916; 759577175; 541365024; 414035033; 826068686; 462743779; 420858056; 236398813; 319891519; 403523834; 549535060; 651465241; 6078706; 367830616; 244982509; 528757946; 632251300; 227529379; 874664259; 461255188; 213320984; 842204782; 779815524; 517861701; 645112975; 425154924; 218489961; 79601626; 405599819; 49301906; 682637864; 697152823; 229778766; 208156385; 635839900; 612567942; 544461113; 583564905; 914054862; 915239820; 585439564; 148040893; 707082960; 279958374; 694971238; 800181452; 883667769; 121862348; 354805326; 142860724; 414407127; 971392137; 741733087; 346175915; 39840042; 94033230; 465746709; 957131649; 289352256; 772516136; 768530786; 297669695; 287351794; 721132709; 683745276; 841348575; 287419659; 669131090; 93347107; 717494971; 6748285; 758724481; 979824905; 719682823; 318424447; 895716429; 919659927; 33974269; 557792415; 73695803; 939435842; 545349018; 83613737; 365700098; 512537134; 64206043; 361582960; 677440602; 530079947; 181667456; 724014847; 582498038; 251589953; 839088867; 609610029; 25942044; 659618166; 819229457; 32115255; 931192897; 340210225; 396019590; 253109678; 411527247; 926745993; 628651830; 514951650; 288535413; 241555458; 851658644; 307303454; 682453862; 651672862; 894742979; 873522485; 609957; 674853346; 841548967; 655294526; 674397416; 891057897; 667085076; 392682630; 978088088; 363310448; 978938719; 442947679; 50484962; 336657003; 569892791; 673245068; 285681694; 756518535; 276718096; 619429742; 663530356; 860640050; 169716042; 490409387; 166871689; 270604710; 126126704; 916449433; 628409951; 248638832; 729699303; 890759411; 851578122; 902955173; 943890156; 696280954; 984197281; 675316328; 860540386; 660306758; 119052463; 458645604; 828645436; 838954059; 846187700; 246754733; 853509640; 309813792; 516977011; 630791251; 873880699; 145300761; 776238929; 275945908; 35086913; 518254034; 565264375; 63621401; 402875587; 757995165; 381647061; 366122522; 816877873; 158287209; 92320160; 108822059; 426565218; 655433255; 433364079; 848763201; 816614490; 631410767; 689624828; 300778620; 323548196; 258647249; 217476789; 327363211; 389706387; 339519910; 44921059; 690554089; 396972066; 32072104; 516860388; 198893765; 93991562; 277539169; 485683075; 418721614; 790159340; 264362452; 242900202; 183604672; 343783346; 91947083; 354167995; 927258683; 576553070; 969196132; 75783279; 11763728; 658258314; 933371557; 57829509; 992536766; 810872833; 856567394; 368696853; 326160895; 68353280; 746766341; 797570314; 134545228; 188741043; 634015855; 1287069; 135636159; 490132201; 839366475; 564146898; 116494062; 322682385; 628791864; 806434943; 557837080; 517975082; 410770981; 567151712; 177992827; 110511634; 107497691; 745077426; 761141655; 452263614; 296664826; 798141485; 932601926; 470648280; 108125929; 608993437; 818957373; 550055266; 61318359; 944685830; 949969820; 404986889; 734490389; 435881178; 362494467; 908656439; 804783971; 616639411; 311369153; 409534202; 468918367; 155606185; 202705731; 440801047; 575688835; 561745001; 367868934; 210047820; 731025955; 432033919; 532272029; 927890293; 577433055; 65171686; 703933643; 289326539; 807401980; 406881205; 750458209; 842589504; 505597012; 958032450; 503807165; 973434566; 219576813; 791930534; 22712269; 576822280; 895594428; 92287916; 844133046; 628234613; 123186743; 931454399; 770680545; 735349529; 569844802; 561996408; 742842237; 802452246; 646215986; 282087765; 351664312; 774521636; 965047152; 844625054; 586497174; 515894843; 864643973; 258762859; 804186638; 816960404; 839487400; 234020012; 906275010; 807751787; 295905850; 519727895; 814729871; 903111344; 267951764; 833167707; 404604085; 208900562; 307216750; 262901150; 198140608; 701626993; 294367174; 323830547; 558467784; 753619932; 290678986; 764763173; 656556773; 5197474; 237000633; 622359352; 444671443; 99445531; 729480226; 960778920; 639019535; 222293153; 86631947; 262893688; 717913786; 550286513; 654494988; 952737486; 403258127; 870947956; 770029586; 166320676; 225210382; 638829448; 908661809; 928243991; 344876810; 255777676; 638541545; 318894066; 513137099; 513724046; 264807406; 141002439; 778137832; 99989638; 409005627; 524247909; 145796714; 567422700; 887565141; 238894704; 601065579; 341497785; 941907501; 955761700; 926325792; 862432294; 653837675; 996318167; 800681407; 967851912; 298376754; 350285971; 240968011; 854944433; 838088931; 674788386; 639762070; 588018397; 637185559; 784289352; 218737034; 745792225; 161948278; 473735404; 377096796; 241927206; 978702146; 922305917; 545541129; 53708641; 619538668; 116750773; 759304082; 375205310; 718145487; 125624733; 166189958; 844858003; 201482375; 861441157; 105530315; 83077940; 682398423; 869222439; 155563492; 739490095; 450664443; 678626165; 72904421; 299490679; 514461326; 241537194; 910120779; 820327925; 340810342; 964390700; 565392002; 245533431; 647915238; 30903616; 984067315; 817422333; 892980758; 129799946; 263236783; 569414386; 526860219; 748969735; 729135628; 966428665; 74091809; 773182346; 382408050; 154277798; 610927249; 691418618; 117268965; 436609513; 258854018; 529223767; 679531241; 207615725; 497797412; 591312292; 728357706; 142734872; 908901357; 740008264; 845691626; 611774689; 13331356; 535269054; 234544761; 660445056; 75660461; 170561295; 981848724; 654281494; 62557045; 523526992; 936764672; 849518505; 189717736; 381932409; 310366126; 561069302; 702336258; 181430032; 313436204; 218232211; 159238758; 64873734; 146432957; 316591666; 182768580; 37714513; 762895041; 169602630; 606807783; 24786880; 713710318; 56604785; 986563383; 604746251; 453900889; 637023674; 268759114; 742594823; 893492358; 149638286; 149237186; 674686758; 623038028; 695924934; 779090091; 146393930; 532571331; 454045906; 256858757; 928494482; 668063194; 52046201; 88011734; 423369226; 891448562; 884166406; 809759541; 725585837; 267745013; 65523721; 109477898; 784815041; 478103469; 310756036; 501812366; 441519354; 893520644; 284372665; 638581049; 848384476; 679232653; 678082385; 589995396; 138561513; 214214976; 948809760; 456341659; 876839638; 653463585; 979748844; 81774405; 588097114; 323245335; 767303716; 304740580; 789693868; 63043016; 226586014; 91491228; 822692401; 52909426; 122045336; 870069983; 645313937; 316001456; 459437388; 291254059; 392280831; 536314188; 102252477; 719090502; 396116399; 357320554; 15213000; 947756231; 252536375; 503990747; 766809778; 397154679; 942997308; 638865088; 794786729; 868906557; 160370175; 192453123; 345163833; 271329233; 122612197; 983553187; 405676564; 563615621; 359024059; 524505722; 670846317; 206592317; 874220881; 736207497; 15695691; 209161442; 491804610; 140533489; 58444072; 434357879; 234506227; 916057639; 964621256; 55125690; 313935274; 528344643; 219810570; 356818363; 137352996; 330587198; 943102086; 829139549; 382570071; 827733146; 502397096; 941785447; 161369519; 261661626; 198787635; 396899715; 654835419; 289594352; 621954787; 737225983; 410156304; 206674918; 526050196; 601669439; 580677468; 584701248; 893146491; 703512118; 690383212; 977901393; 427800277; 636511868; 350415137; 733904199; 310675930; 519007843; 395539985; 162706588; 216793910; 27330846; 246713928; 974477308; 234199402; 534240016; 913765481; 645377928; 862284585; 950313419; 349100021; 746150881; 928689086; 352221203; 318534335; 327819385; 128166957; 795680681; 49522040; 98228521; 494438721; 661083359; 264237874; 542410965; 264702059; 422547239; 843876342; 255782789; 821434552; 20669131; 896808437; 595998827; 152969534; 118072978; 44214096; 217306396; 516792566; 12410960; 60096592; 460195566; 230453467; 613935441; 327097050; 353622316; 87120515; 351761061; 501978697; 905687054; 268809395; 429807530; 761353126; 660416826; 561285682; 383640289; 574057467; 670933968; 394151232; 775220183; 581911950; 439931152; 840246612; 525023760; 455099827; 623973170; 449932122; 825574515; 476141207; 771111624; 706906016; 560006959; 816351049; 892504672; 513404768; 883814869; 896059895; 856108355; 311088619; 491189447; 371226431; 599756054; 699417402; 697492366; 541401658; 980688253; 966499333; 126110174; 697775211; 864120440; 723570426; 347362771; 197132785; 172083468; 219677901; 103236264; 927906802; 388048833; 393368216; 55899811; 82487217; 118550680; 496942882; 287596364; 883503672; 705048473; 157803686; 298689905; 851629435; 108198443; 806510345; 779889684; 610410670; 605740646; 895592570; 22526370; 415805228; 901014572; 179146843; 267852062; 742548489; 65040418; 193533165; 614401627; 296342572; 129756023; 841254155; 339188648; 884386662; 157489248; 531478552; 984465119; 69125036; 863545888; 712897792; 221087186; 788982332; 625922261; 615984261; 429277985; 272828441; 347824178; 549875547; 440982949; 769757793; 266846506; 720554367; 627191137; 280244071; 95803677; 763100037; 747504863; 391889765; 114144084; 948080646; 155128559; 459241362; 245343784; 359547891; 818990634; 609920328; 870677606; 304337373; 139037079; 762582851; 36732433; 695066533; 169842807; 912293536; 297312850; 57350720; 104452713; 425229843; 13993171; 866235970; 241916413; 394521418; 912920091; 106427807; 898040999; 924746568; 714237685; 267825105; 521173187; 528653390; 872655583; 634653984; 731723439; 226742389; 674939408; 639984506; 759496145; 284649066; 226934614; 956889115; 787715533; 827364582; 511069549; 649618112; 412019067; 10862271; 280001154; 286262573; 863926508; 609178082; 76509537; 948018077; 675140175; 653611; 464172437; 800975970; 923617332; 23398063; 539229173; 423305418; 510716991; 318112171; 920190860; 916363827; 396111056; 421387655; 309533114; 543013810; 145308431; 14436163; 460176615; 441407963; 528552863; 304959582; 602614523; 554702189; 573800842; 971544359; 338143732; 461381036; 853679764; 411673702; 136245486; 160269604; 997210633; 549579955; 780901235; 502847891; 55427249; 348780960; 576281923; 460624932; 156198079; 27866589; 899887003; 291715193; 629370156; 948011931; 455478272; 413515546; 250554687; 508333503; 471040699; 517484832; 682286776; 191882175; 972998149; 298096193; 445976013; 190154320; 337772891; 296439080; 395341597; 182155082; 759385359; 398477477; 23115128; 984549834; 512878981; 238626078; 639839103; 454049327; 428076390; 702244570; 577783040; 590160550; 146447651; 15227703; 501241732; 177560206; 608803340; 858658026; 693083133; 22254998; 670700343; 883511272; 954166099; 417333086; 571798843; 238703835; 474096575; 386707653; 724103151; 952501658; 702630162; 773418065; 772580476; 648682643; 530918826; 72751038; 416255332; 295484970; 549336702; 646084330; 634137735; 219138887; 918762135; 579232108; 357669985; 759336451; 204783165; 708927169; 216536427; 645196198; 815947713; 672214520; 630988755; 807618594; 743487673; 753418401; 610503299; 36790980; 522110314; 502417715; 352725096; 674473374; 687333539; 452346763; 832631190; 12206912; 698811410; 873654684; 841225327; 914929896; 446963960; 377311649; 958137085; 534486851; 857003773; 39911639; 136679209; 456651795; 542215703; 887074303; 246892301; 890595339; 28893668; 723009018; 696054530; 495284476; 590461350; 854275493; 74351868; 663788056; 645292201; 513029362; 285274037; 361258038; 445998673; 58761719; 961999751; 848543725; 242248457; 931261860; 492004977; 459897886; 357750024; 729368743; 979819880; 263415187; 590895832; 499717792; 106446023; 646732628; 84623820; 468184580; 452122066; 167132020; 689591556; 354025198; 180584345; 471193744; 525766737; 132632012; 498025844; 542670355; 666271908; 950197465; 1239359; 989646570; 942990395; 995818348; 465900873; 624677107; 555301738; 932592467; 820565659; 243223213; 40231385; 373712163; 308507731; 931379214; 274491833; 623207005; 632033366; 612517165; 639647835; 602478571; 409050195; 730127417; 863234611; 458212747; 670975029; 957842597; 123039459; 308285258; 833353392; 290961223; 62704722; 943455699; 226324803; 675555893; 14795939; 202124916; 539217405; 704728462; 656621339; 324677437; 161850658; 884805946; 507761951; 958449816; 557852930; 479259886; 783186117; 221505567; 40878645; 162962109; 15306407; 769606424; 112972594; 184894061; 320563194; 742472086; 974007397; 374887660; 19862034; 519555741; 760006889; 836968978; 600388171; 510867892; 234720582; 446759165; 24473136; 322292560; 502221422; 956200135; 924595314; 370183340; 924262673; 160985339; 341778774; 74115099; 967597498; 879635193; 719475068; 351529071; 217212282; 366374626; 154793464; 737238861; 359168476; 290529348; 751126638; 887020782; 596696658; 188243621; 454741670; 506799748; 932234581; 638925894; 733652519; 475813778; 328790927; 790663703; 652284730; 297039215; 212715365; 66936647; 70410728; 287300801; 620856857; 317982831; 475579654; 944304792; 804492380; 640703057; 637316587; 127272227; 964916891; 668680581; 543794207; 551318410; 453335400; 53935623; 255713615; 657534372; 285007138; 688097223; 905813094; 861663713; 382423868; 981908153; 861707685; 634276112; 44730652; 799958705; 292438646; 59290699; 449397346; 670939732; 117602468; 999564244; 871896971; 155772115; 470636841; 937260486; 855503429; 28023345; 996168255; 193274095; 90033179; 163050350; 770498357; 679081650; 794601403; 468517156; 668989845; 122717418; 166203395; 774178214; 936290870; 631468045; 244786089; 100083871; 436819765; 556273426; 641957264; 217324167; 39105395; 24006890; 959467359; 508733002; 456794833; 192479020; 782368409; 946941774; 508225725; 845151666; 757021787; 11852953; 426839572; 952076607; 263498955; 35248595; 416565801; 967901679; 148023460; 473855923; 741063813; 346800241; 789574735; 926858564; 805828814; 71877992; 602911943; 969732358; 697353691; 504236400; 858943267; 462708483; 732445350; 774210978; 550116759; 593523449; 152329914; 17003552; 512496348; 682986914; 151844832; 878060054; 639156802; 416262935; 343861767; 466598722; 441823423; 847407662; 444059217; 598541444; 206145786; 905678286; 39900405; 881030847; 578689908; 520885120; 203515444; 839606289; 834972735; 685762610; 15535481; 459518283; 182044078; 972304645; 574831946; 597440129; 367695378; 13481047; 104576215; 895763058; 302747884; 295148202; 606022765; 488195282; 873885990; 80979412; 142031327; 44713183; 967350900; 930770971; 935975028; 109521301; 621616715; 294545885; 767917393; 173596790; 803692455; 254027543; 231844491; 50925047; 296840164; 555182750; 481209745; 129544882; 201760309; 65427737; 920778328; 126415808; 344671253; 115903192; 297974741; 730451028; 656191981; 962671712; 451741635; 397830946; 290804307; 995859886; 96304453; 758636649; 93226984; 562264628; 234075960; 935354869; 993147690; 72199716; 821104845; 902019363; 408486333; 29806843; 854188846; 173677282; 433677588; 601909526; 607373696; 411902280; 903674072; 533310710; 719996428; 123798261; 853901207; 784712047; 580814967; 422343341; 184458258; 331036863; 719089129; 56687009; 727305623; 10505150; 554666726; 687917431; 422969386; 452309646; 483143539; 684233345; 18422156; 947475923; 197111345; 923274635; 429634573; 702013672; 590539663; 743981111; 369604007; 502656441; 359234698; 451750187; 668240729; 73095826; 808063249; 924208236; 78358005; 858333327; 226378829; 518630657; 325070435; 295724232; 404441959; 453763775; 176533752; 731791310; 655599972; 814201578; 635711576; 506243121; 890581558; 341178872; 30730907; 844139187; 663658331; 813819081; 276778941; 621043020; 816802569; 801239729; 343690782; 491261780; 792003677; 113754301; 993944373; 994774191; 132323212; 929089437; 492907353; 45972438; 299909396; 476267367; 277750585; 728249004; 775561144; 43677178; 751638316; 94252671; 630440710; 280254059; 741737508; 62042212; 736373674; 887044237; 194168735; 192147276; 358141209; 203609442; 966838986; 316814460; 146639862; 33023784; 35633445; 677055162; 139593229; 834937259; 467877931; 108454529; 578864060; 817023534; 955042861; 212189492; 293552922; 320335134; 397081992; 710146963; 268801388; 12254519; 409405312; 367354747; 437019283; 527099222; 313325765; 341275642; 559281989; 517311276; 510208979; 387435500; 57760131; 525272792; 311055374; 716279565; 509932816; 699481115; 4518172; 831812160; 100156023; 765154519; 853284968; 736902460; 438062931; 920323927; 948921445; 949525947; 576596800; 533680172; 609843398; 892567487; 610335839; 720364430; 577758994; 42116222; 185673628; 410312022; 307329717; 225713657; 76175319; 53383780; 778350931; 850252696; 455734239; 610781624; 124630875; 704913301; 566480413; 692226216; 421612326; 854048636; 214665148; 696939401; 245168864; 839122852; 807699489; 687573007; 979535160; 105568231; 751741029; 842243625; 457441155; 481220919; 290556609; 350722664; 837611607; 317287777; 273196923; 458510682; 317535448; 64328696; 175771246; 979504270; 600673554; 874142064; 531414084; 856848107; 618151222; 130645002; 35674494; 451820005; 146854450; 482989768; 682814913; 860836769; 557419123; 709258586; 930747946; 69989421; 985592585; 439104631; 808893313; 518194884; 724915252; 70193356; 226870070; 179856913; 651293752; 462282575; 907462923; 53619567; 59113825; 713899706; 303757577; 217091576; 806157979; 7629132; 752417608; 25134135; 230668707; 25491256; 120733976; 345134978; 706511419; 506161004; 27961297; 394087167; 917876255; 424193232; 112168588; 328315026; 525803170; 352291403; 437956888; 200939293; 607400817; 335785243; 539339506; 250592051; 395018560; 289859738; 933351600; 436062217; 762180759; 203018383; 193935830; 174697567; 631989541; 330938543; 97398701; 42062082; 671037790; 913744665; 397347567; 533566166; 680579952; 410762153; 605738870; 544268183; 148777629; 613775172; 390660648; 209749730; 674386898; 133946564; 573888832; 220468714; 608770505; 266225724; 525838830; 821543506; 760695755; 834674815; 852234541; 496349497; 16580828; 788375701; 722788328; 587414480; 764950425; 677619079; 229538080; 262833492; 965241024; 959335483; 844395882; 94831131; 677186099; 908922190; 286807296; 715829792; 86681542; 418755552; 681214582; 240002809; 666843173; 844668228; 681221441; 853618471; 44264483; 113267847; 975151776; 673568256; 363360749; 494774531; 500391532; 718826516; 823774419; 793974162; 45937234; 415352723; 218951283; 683103946; 930256343; 846413605; 312415291; 486438396; 878619430; 332691447; 928441966; 235681941; 877843786; 476907306; 756951270; 905234732; 893140207; 681005111; 980599887; 340756284; 574163268; 391289180; 694874731; 376263165; 507996342; 227407153; 321650006; 379974232; 677850097; 650084971; 41580068; 914071771; 955939789; 157095553; 316751986; 563529368; 834530988; 936983896; 149054899; 348708444; 613940856; 378560900; 530189900; 722593705; 475114403; 858101911; 802178788; 898692142; 988425221; 565402778; 133298659; 891917148; 61742607; 648422796; 628277187; 838345023; 683435106; 826691308; 347176437; 368689884; 784070742; 235114105; 819284720; 734455185; 895782308; 246180643; 646609892; 258185080; 844853751; 619766469; 5241087; 833101197; 172480987; 811529343; 217304843; 992659187; 708551240; 352108675; 960478452; 923086838; 75836578; 543760106; 674812932; 533457866; 498924903; 192940064; 889427563; 675202708; 667040170; 547446115; 393186707; 739030743; 98567681; 421997733; 512521823; 140810054; 522691281; 922266145; 243130627; 70281443; 83041501; 897627171; 426413991; 4500255; 844950065; 420218935; 791861539; 521426799; 560950022; 632773253; 528873936; 97325327; 260764153; 197765823; 972550080; 976524480; 207668912; 707436055; 47550474; 232206124; 50815648; 636139773; 660579400; 656783677; 195910028; 10734120; 508851321; 29183177; 550885614; 453080374; 611969121; 810062019; 963801027; 178448514; 193889350; 52382659; 286000418; 323883250; 303928879; 468118652; 73327722; 454601640; 992958374; 309161105; 701030972; 732866595; 378198202; 646677613; 769451424; 652277369; 784046748; 923975282; 649164388; 836022753; 619468275; 651711884; 48427200; 657794789; 171574199; 30781222; 464779355; 442486624; 591400900; 74817215; 282468589; 881544300; 287432058; 206635809; 325315665; 279849705; 344426700; 568243898; 733128775; 801546642; 640898795; 991051624; 203915171; 578538736; 20266722; 651673429; 247590288; 357508818; 552701476; 440071757; 401557259; 911578672; 283262758; 984815008; 72209635; 251252450; 642933132; 349260490; 903198902; 451861685; 429520743; 404139691; 114686837; 530338035; 29951033; 650335710; 674564378; 823917080; 601825991; 388602660; 720149357; 227250638; 694669871; 94426948; 47253924; 527639684; 509840425; 48000295; 535162897; 620863911; 208121147; 391155956; 637059679; 893215098; 484930157; 350943451; 56143212; 344829811; 529801577; 160630482; 212264158; 774379344; 351505060; 635315566; 998927541; 157464482; 233684201; 188220607; 204982739; 940886275; 216320300; 597628899; 685407172; 252649972; 756859966; 128245763; 344983008; 57374439; 131464170; 615635414; 237424800; 482317509; 868780551; 492298067; 75941773; 109925184; 408395553; 880232169; 757447268; 687153089; 56397958; 344179982; 691219827; 56281370; 868607418; 966428978; 455688564; 761819773; 321663709; 157261220; 149537586; 195503800; 812747816; 800858322; 487147941; 554424950; 246724296; 736952532; 150133067; 879688858; 511633520; 108547571; 48733488; 886065812; 519474799; 753594171; 578989355; 48168912; 504826003; 653944510; 968256524; 192960339; 845355083; 638757619; 816845325; 776464153; 284592586; 885790772; 235179996; 559308317; 377567749; 242328361; 674866507; 759954347; 969560540; 295999446; 797323221; 882482086; 764617035; 35002677; 69172354; 105551761; 496944497; 468364054; 562193207; 760690711; 34815681; 366619790; 396338313; 409434044; 838576360; 439243295; 879091893; 764116122; 403070129; 162206649; 688410978; 995391129; 241271573; 201172885; 129622951; 916143520; 89510248; 777325620; 526386474; 605493718; 923411604; 784785629; 451558183; 922551580; 452203976; 614799899; 536097825; 43766968; 402465100; 821738636; 766332340; 673754929; 329464259; 401288202; 544948171; 161296876; 221901174; 721972832; 265249440; 196852938; 221651406; 344004670; 11261071; 883866161; 858037513; 999739220; 707406269; 647917352; 572872470; 825830605; 991352818; 508273313; 811870564; 752893475; 935822791; 910177921; 629811832; 87145884; 930258390; 29537611; 890802706; 551047464; 343035641; 997703795; 471351161; 938606874; 745456757; 268083428; 901714215; 927772416; 765960790; 24508903; 916619048; 265458301; 796704377; 634720762; 627147733; 802272475; 776984150; 996485655; 548157013; 142110843; 716392152; 864808446; 808754718; 764392405; 675088725; 358101778; 999510791; 485929314; 52835048; 160209249; 152802818; 672744681; 976607981; 697056654; 651167306; 493973947; 637983741; 849191636; 311531414; 52931943; 142611574; 742288255; 495923299; 692605819; 368900034; 360772910; 716177323; 740867530; 444316590; 736505207; 942980380; 514754361; 829534286; 460117505; 168592952; 879380748; 811743581; 445408105; 598755970; 634541771; 726545831; 778898068; 134859486; 307663066; 731631239; 511315214; 171437141; 414355920; 992900837; 989238289; 432809009; 673503506; 611065310; 801149231; 932669225; 604782682; 300969971; 61753328; 69784726; 764892843; 856688647; 265234965; 916929828; 598362768; 937664444; 672381810; 509414539; 402587159; 305023485; 715387335; 635676618; 746647237; 69345528; 434436134; 993123577; 793635137; 995139457; 876563527; 986730714; 565982769; 136629143; 998911247; 42984641; 565395143; 245660276; 303055731; 21235930; 924083843; 865572097; 9590985; 731868945; 68699531; 305276478; 630622297; 225132652; 115959947; 600340953; 392134549; 321163476; 52381326; 401886510; 67160112; 26556850; 388625186; 882072412; 579658284; 853990097; 365837276; 401462505; 878945031; 587483102; 686409621; 905768823; 377983047; 71089629; 72813572; 513654167; 355403463; 808042275; 675303681; 255570242; 16142284; 186952507; 258784944; 809161833; 976905609; 735063787; 401533489; 209152590; 670576063; 395718926; 134136681; 848581273; 324188301; 940416774; 3654149; 880803961; 111627822; 333242350; 484398331; 821496495; 653788181; 94551982; 332625209; 109485981; 405309324; 967278837; 779898013; 162155505; 817289648; 214179507; 911562593; 104057462; 981676340; 362394984; 292762382; 523970729; 122087581; 52929677; 77580388; 740660794; 409165718; 432087289; 90518256; 396568912; 62730687; 494126732; 530822156; 444160081; 269372410; 13544963; 238024512; 889058075; 311508940; 388286696; 297291369; 989009812; 922751761; 36957370; 559481480; 68283427; 337576586; 929624300; 663562937; 709580219; 423932956; 368919144; 634553916; 217318479; 903860449; 42555110; 869486039; 300383653; 617838464; 165613951; 938608046; 952763726; 229689389; 514481480; 662590224; 318254559; 177847862; 603701410; 953093723; 678552383; 524361638; 518621982; 83524316; 298381417; 481688608; 488430590; 723431923; 869764527; 161002847; 349599614; 179815660; 582868051; 597633518; 811388361; 812368800; 916842283; 98799713; 15888143; 533305176; 322575546; 146696457; 776704479; 800484601; 403989946; 786064931; 379681009; 536176554; 394135659; 904228305; 770721983; 321892804; 353383813; 707622662; 164386384; 643475333; 103612459; 873923411; 419819702; 656697625; 616632211; 32981178; 90592628; 11268692; 271740308; 123208160; 401084923; 806102458; 616814390; 105018622; 29725533; 107842426; 535466463; 259068045; 812045590; 488230438; 311469982; 59870257; 248692410; 216310648; 949945793; 571392323; 112896397; 132246696; 331578634; 677452537; 254982251; 617415555; 103051260; 127883316; 300217651; 270899255; 243834588; 325323257; 511760204; 654590460; 280151316; 623275330; 15429939; 687341326; 926955745; 326957373; 484412951; 543107233; 874717104; 165528270; 369128639; 703535519; 279764353; 107903664; 896067598; 533788873; 568714974; 605711581; 297401308; 966500872; 869354117; 196170273; 835285782; 430911187; 303794005; 375870326; 276387423; 923975170; 178953028; 261023706; 189311877; 274299531; 796745701; 478067124; 50441558; 161403949; 866885738; 810981592; 773366553; 580785342; 37903099; 209862609; 649476435; 302347862; 549425945; 842272730; 835948578; 680952477; 271147694; 270961407; 763143034; 632412168; 865217851; 923550785; 206079725; 420586269; 799701054; 114994376; 416385747; 830944790; 337607035; 715665117; 800633857; 976965746; 173027967; 846548442; 436422307; 75730865; 462235105; 179401832; 221378691; 944407173; 160127530; 345153656; 543692161; 483702958; 92057840; 971506228; 279937154; 477293598; 77548566; 331391489; 852722776; 765339827; 718713237; 222818622; 894450660; 551544118; 936430017; 16168034; 491793612; 902399490; 809919345; 477794887; 895174489; 287393876; 491434744; 450293316; 426530152; 558999004; 696945012; 384049721; 410261235; 97933182; 200680637; 185349638; 766153575; 87929963; 307892758; 321059538; 890233666; 309611078; 670647726; 551732814; 145310871; 313627502; 245966363; 824533718; 377453223; 171339762; 858064970; 341523746; 402713469; 40873556; 253225403; 81290980; 733417629; 37758374; 25114969; 784141317; 899825618; 812205427; 736853177; 723536791; 80400721; 816209210; 953489114; 491588768; 773647691; 521293359; 702766242; 199430356; 793155978; 801187870; 600216723; 389956443; 469128753; 882010142; 268305050; 530116497; 597406520; 577408066; 915735486; 947091940; 376026355; 605337957; 55095498; 119085681; 304606837; 491020121; 381644720; 8759261; 200755830; 889074611; 629777262; 906681287; 692314422; 936650445; 766468853; 335572390; 101919549; 739729337; 500388678; 912201004; 172874399; 482307649; 4095673; 395998648; 708404726; 832118048; 973014190; 218026184; 701267271; 542820428; 460126794; 488819498; 221205037; 670641271; 317555577; 498454373; 70163853; 68833048; 390535526; 168158476; 347551838; 464211638; 518506743; 915334316; 493577721; 417266195; 225221304; 785865460; 154790355; 227397125; 149306691; 722667819; 531408060; 509922263; 145728031; 399444814; 995947710; 537708929; 990326565; 879870733; 662469984; 186757688; 142371740; 367187412; 444561814; 172932415; 607696874; 293125151; 477097829; 198004047; 658592660; 885565462; 735812337; 203387210; 802997509; 14720734; 761951290; 120766677; 728501286; 497299105; 202066779; 990099218; 978158440; 671146272; 447770334; 193802216; 252660930; 505582646; 822267798; 407634040; 20405485; 414420025; 677709080; 685829119; 3358990; 833392572; 785780720; 17255269; 392153236; 372462024; 347644795; 150796706; 731726650; 420347065; 590196723; 441866825; 304300753; 538409041; 801873276; 190701861; 241562168; 176428676; 144648867; 364592967; 926186201; 256888551; 151970011; 724208570; 405651423; 699414150; 944332303; 975615975; 807767907; 907839519; 866178192; 620153433; 870796990; 667255944; 636640938; 661902467; 197602057; 177912062; 401597122; 639989973; 618826656; 306891431; 393213341; 179716395; 218872865; 645320644; 458659307; 435398080; 499702679; 210992247; 591809588; 946748785; 52693828; 942033706; 364168263; 948793106; 531055027; 381088744; 147989894; 614379709; 97447387; 864062105; 261816467; 829674983; 651113979; 598024344; 631642380; 878672990; 396566849; 86435122; 956323221; 566225960; 214237259; 322392165; 603391567; 755797413; 141925056; 886296702; 631007649; 270700915; 511209009; 944111816; 246229654; 593627539; 495584646; 964177676; 626856074; 420586797; 292246522; 702975773; 395861055; 429546334; 979717573; 633551830; 463561159; 42089758; 153886383; 663600476; 593835618; 643602361; 279708686; 611773378; 652395358; 665832971; 566503289; 940759769; 829919345; 84911913; 33848036; 218077142; 805816201; 257315906; 287290311; 512378183; 124295045; 537101359; 869865632; 60169310; 949896725; 895200317; 745772369; 918116608; 929957653; 308354420; 466171888; 826190947; 676980663; 762208763; 490716418; 765189435; 243171423; 719624691; 671376257; 256041224; 650609602; 500423092; 171620436; 104022575; 803273831; 170408275; 380146168; 439029363; 92966740; 190727326; 371082725; 520103943; 861152372; 373302844; 586626657; 18855617; 667959685; 349778558; 859177732; 625998006; 988548264; 615111162; 307766823; 835458789; 61524304; 580918193; 490303308; 561014985; 384218539; 894108139; 213124033; 594918271; 325819490; 93988505; 68530576; 870566218; 992034269; 28497569; 765795488; 810466544; 698914910; 903245931; 399362109; 52461938; 513569711; 704842936; 5740928; 133930666; 614786644; 812574471; 27873113; 75961449; 772005911; 734312701; 98165838; 484025330; 663201194; 730948457; 510345543; 213245720; 367915571; 564045725; 204204197; 932759820; 685406721; 727127191; 899213229; 404998382; 623483368; 638187727; 279218558; 363304743; 817550756; 331586479; 367285814; 628969182; 162834044; 665620180; 42879863; 295895973; 845433367; 116737024; 681567555; 241742271; 965822757; 476558217; 601139452; 728337800; 77383824; 181931848; 286188985; 495793646; 17211381; 661760786; 935863207; 168621316; 87385813; 837648601; 787820526; 378983903; 933476077; 774830545; 44172938; 227254170; 339957832; 934667268; 369760544; 503349334; 1300610; 30194697; 294492957; 860230577; 431277771; 260933439; 249530981; 404844917; 715524925; 519110372; 149482339; 475687065; 20809637; 187081805; 303630298; 142098294; 42488725; 225275226; 273293966; 146793419; 521067909; 557259613; 538114914; 288022823; 505188527; 950451136; 542197132; 510285571; 83615108; 203572573; 721186910; 105606839; 381999636; 773650688; 26888501; 198575715; 66580867; 661393874; 782163377; 2980831; 358473041; 563989103; 909593567; 137669380; 557820305; 113095562; 877368595; 674966579; 265562610; 166961905; 617447197; 887834030; 333722460; 55345974; 474261352; 134399905; 317291596; 752893094; 173797853; 771515640; 692149519; 931631417; 770987563; 980954737; 904734549; 378032296; 735405168; 470399345; 5223343; 479821075; 76741115; 989581048; 464714214; 518851647; 360828038; 996151474; 937390374; 315420064; 483668734; 99505404; 532161887; 914494410; 304192285; 306356634; 443542747; 953369482; 133673137; 460118104; 382475159; 405243685; 643954148; 464970023; 635694851; 71988540; 727815720; 822761199; 49783590; 777292906; 162800216; 613035651; 107737561; 962462769; 260957505; 742174756; 377778448; 669589216; 618683022; 36928359; 424362506; 650509454; 616116159; 690227938; 883519558; 987357226; 601689899; 586888860; 387493489; 709735608; 349887464; 112413828; 503103568; 984401736; 94569181; 784431985; 669806977; 46385063; 34683728; 432687935; 474018040; 508406096; 134374082; 918667499; 860575247; 36241328; 482182020; 714755365; 727326641; 561704795; 882354829; 433727391; 284082888; 738656970; 427655948; 143183496; 732865635; 209324256; 976744265; 402560415; 199682761; 939326070; 30651731; 34853947; 37232901; 283006825; 141780434; 906944728; 123067972; 223535420; 11646228; 403349389; 602609961; 675930780; 868075260; 856394108; 341033628; 515327198; 811887611; 969170618; 516571935; 391924100; 644876227; 933096835; 22807274; 340117802; 415408026; 5547985; 164367545; 614670634; 637294122; 790715161; 124399409; 877926096; 584343287; 783307204; 845652875; 920175812; 724031081; 489205272; 592999870; 715141348; 754870919; 514258025; 145055453; 799580773; 403282483; 754151279; 314529142; 36159509; 101472995; 317613485; 107658630; 329403626; 533254384; 29295663; 598671291; 153123433; 626774160; 308699528; 272929534; 126169446; 263447992; 730373908; 262446590; 333664842; 415809542; 198620989; 452989877; 389561813; 687843731; 52109923; 278127158; 91979809; 948713106; 898536543; 796061726; 605610151; 937133816; 576883685; 727289597; 916072755; 887294680; 443985901; 642358078; 408546035; 711619805; 75179366; 865307648; 95893680; 471951979; 756167927; 80786122; 793402127; 78649037; 240779539; 589819856; 958978138; 611637511; 946140423; 893636953; 667516950; 7997866; 604300711; 632010541; 873972503; 631131752; 549429524; 717165010; 348746027; 95238619; 614079314; 698819380; 635627559; 500328634; 199532546; 18140766; 207832216; 401266034; 399116655; 893465913; 500526205; 290600605; 654806666; 366671446; 780674128; 756105026; 501537079; 17361520; 883149953; 680443420; 737835255; 635831786; 826421406; 288748375; 681072556; 775310554; 338083331; 865969486; 188530625; 20776679; 130876610; 406458393; 530090550; 478642156; 196946221; 519055383; 114044597; 139128559; 651847167; 982954587; 844965804; 878040956; 62353954; 935332505; 911616025; 580841829; 221197616; 65887153; 542219308; 226157176; 727189362; 675105093; 323328133; 747370259; 948034449; 414247081; 41121413; 790356886; 476499712; 690407099; 664284945; 775383681; 64722277; 210048143; 834351139; 545551393; 2065049; 952287959; 859679162; 856780670; 809782698; 534142021; 13818955; 431105379; 965385027; 134013072; 202865071; 559431478; 119995433; 37243472; 525476124; 344541499; 440109904; 429565742; 311027744; 783965953; 590536079; 17718156; 307700604; 605653776; 251940451; 693813795; 211942185; 743592536; 70614638; 790805599; 285983908; 491135616; 457646547; 627959560; 570273199; 591317731; 44243485; 33746176; 244127549; 422090531; 244946346; 967603413; 416626923; 282646633; 964419821; 380866430; 627776442; 559651164; 463994093; 977318358; 515991572; 763009233; 787458121; 322099709; 348955125; 175060411; 316941046; 13911777; 389624641; 839172413; 274729974; 360181348; 384597437; 609078213; 264891881; 804755286; 838545014; 542241111; 432206422; 691180874; 113212351; 149244; 709435707; 138407849; 569975309; 653693334; 908486710; 317715783; 221669859; 106238201; 580602141; 888237594; 988596343; 273631392; 758478236; 856043730; 837593374; 943782842; 587388081; 579239540; 767832296; 145461827; 633741245; 840645273; 790580105; 751185222; 624579060; 499518580; 944733832; 29189123; 511597592; 501337168; 641839541; 832500105; 431750222; 786917378; 44826211; 3405666; 283642148; 335756434; 44637757; 429007724; 237649594; 671466264; 301070852; 302251977; 607814738; 492529865; 509896469; 791993432; 826509974; 950141501; 434587278; 200132451; 854674080; 101581156; 809117738; 268145027; 348019255; 27395412; 19531824; 969859497; 828856096; 820915727; 119326883; 207944489; 876788413; 42142078; 744276091; 714331903; 756560325; 226653914; 560498752; 316200008; 497959067; 111220722; 553904348; 990930074; 911056068; 399903610; 165537350; 847470491; 475305663; 602259888; 453937300; 711716400; 332076848; 851950329; 392114634; 210226938; 920594397; 740785008; 587498666; 84276948; 714357099; 861039409; 179911107; 305184440; 546728516; 460749209; 124255529; 13724877; 332991489; 857079878; 662112331; 35198647; 138814131; 811798651; 820686481; 364239785; 65157433; 865982492; 407152012; 362253435; 194228283; 94568838; 62603026; 554652288; 805727087; 257283869; 951021506; 85336919; 341832420; 335479861; 33308057; 751013954; 503888405; 233697326; 488187490; 887275206; 594985441; 832119941; 278565759; 483406838; 524416197; 451058774; 773605442; 628357800; 363680392; 644243528; 210154545; 190314289; 95687297; 778815637; 128938813; 506146360; 232999281; 266284961; 419294959; 985416909; 703417941; 97783891; 140897055; 151847103; 437746353; 203578261; 5235900; 577935268; 912142210; 381629486; 594909629; 949483737; 485072739; 175357182; 779405757; 683491560; 296307771; 331398983; 883035212; 825581906; 837140667; 136333511; 764480513; 518771940; 728267529; 352401977; 974242580; 700400823; 398912481; 665811547; 635594746; 158890307; 326859558; 963490747; 727664775; 375686757; 523904398; 500949844; 464362759; 945478182; 674196808; 405880446; 870271372; 915563184; 523951441; 401847204; 630792705; 496451116; 729942382; 672189552; 484997535; 346279844; 385461435; 996251719; 677938035; 46115834; 270389257; 381981623; 551464765; 56306901; 228034957; 247089304; 619155934; 866152714; 785712927; 60872817; 973888678; 499777525; 424198094; 677149722; 362012181; 602750277; 659408573; 889094210; 537660321; 288456718; 668935626; 169189110; 339691399; 662578177; 288925095; 122879108; 849291049; 308756399; 946664131; 153805056; 483308704; 830016259; 129149136; 502773036; 312312265; 406770600; 956504364; 541059915; 229949428; 270460903; 215657186; 643914165; 248497792; 379704920; 867435729; 99696621; 667917511; 715800801; 947119808; 69433937; 533244994; 413531763; 161759822; 215872503; 128752139; 421768383; 365299332; 815570092; 24612329; 689597831; 839368775; 276694060; 410711452; 231143688; 87526177; 209798370; 386981896; 222540169; 720153433; 334156940; 988335516; 498610949; 641095040; 758997416; 471503543; 405840403; 823635913; 963453175; 389796456; 134859727; 565116944; 655520432; 976908689; 15287562; 173525579; 923126328; 933599959; 18493022; 200433164; 603841862; 233771115; 370386054; 702857570; 524950935; 637328214; 522723476; 857904248; 786967061; 738057317; 791959135; 515404818; 945316587; 720358916; 910725708; 51557301; 367994574; 562738792; 375569226; 969021927; 821834900; 29926609; 580948448; 990141943; 28424974; 106428668; 614678002; 333748456; 895198697; 891104825; 799381086; 676839139; 378809804; 506584328; 668313895; 623790011; 14674258; 985329033; 253905361; 697167280; 112970772; 469464594; 10172235; 392402507; 139262805; 750985758; 598295396; 579497607; 508501945; 396627389; 904655150; 388534310; 987470296; 797971728; 446547116; 304515496; 76658662; 122258339; 257216575; 195438056; 450292681; 970089567; 160364075; 686947112; 910488359; 176509791; 247282195; 206222640; 302276991; 551188671; 629709073; 733254839; 748140098; 371973235; 980188554; 374662086; 628994312; 498311052; 31013667; 89920248; 861692325; 356496556; 422467305; 571544054; 704478905; 685990050; 821278486; 307978767; 240423978; 924000390; 38156173; 81895509; 578235901; 788105824; 25358510; 952500594; 918380037; 673558825; 905628695; 98010129; 989403320; 169645377; 308727183; 343031258; 340942787; 608648268; 148750279; 872756742; 206041206; 865128663; 278226368; 266060436; 985401900; 350884407; 204170892; 404204690; 160341059; 327037641; 430975292; 526070821; 71413476; 783800571; 877632212; 725895674; 62814042; 380445468; 644707242; 705240648; 176597001; 92831030; 107733959; 611326362; 657432952; 69687031; 996677701; 230915540; 323515128; 450739387; 881471900; 584368573; 679560111; 922620212; 820677725; 637916690; 675204495; 973606389; 332763526; 122347876; 731389898; 526871944; 729605012; 986577427; 903387313; 137725640; 62367128; 453651040; 395423870; 823473407; 251466037; 760601029; 852658862; 980365940; 716653084; 771278816; 188877850; 776196840; 206657149; 781784163; 239355293; 663726884; 188657155; 230612681; 342053061; 594167311; 174632924; 639150676; 119326651; 789829862; 717536391; 567052071; 740326314; 732131640; 699610568; 621604968; 247029495; 928990834; 349274655; 20522836; 875859808; 720157605; 951589978; 322161884; 235621855; 409473782; 609007302; 556648580; 8390490; 601490123; 138401717; 144589149; 694018422; 371603226; 524340811; 585499715; 714942877; 207892975; 655023551; 321231063; 45945753; 409961359; 464138239; 973525267; 891328563; 97999747; 439946096; 182411808; 993372456; 228796976; 497178451; 563830627; 888167231; 736495565; 335655228; 536437602; 962269709; 721474015; 305638542; 681842616; 497594033; 732272442; 335687413; 747341891; 178883501; 543111759; 48162938; 773279464; 223141816; 795215725; 641593351; 498912657; 314375697; 772709820; 627400168; 414710102; 926088306; 987657227; 190854327; 77137767; 562484173; 266298378; 581166336; 745653072; 969536419; 543219474; 143769678; 178676485; 860504313; 317563372; 259406622; 717258975; 622870643; 156857528; 251775974; 628169314; 388574373; 895269620; 372024608; 808026632; 27714937; 425062738; 698360762; 77582372; 775160790; 718978129; 566287854; 599362395; 72122246; 54816022; 647279688; 492401984; 514011443; 228822841; 894760401; 432844100; 214438828; 301284660; 681848557; 148795090; 241149751; 845301932; 658582114; 768280041; 947867508; 702901328; 905941552; 174980326; 166357962; 933128731; 204091370; 428325874; 315578609; 426630691; 501437731; 263083171; 313289102; 378024982; 811163074; 896605437; 315420805; 253353560; 143079134; 744444932; 145754841; 238048654; 320305749; 789409073; 551478604; 187070592; 80323794; 835582219; 163086436; 340370945; 516563283; 878013578; 182387742; 880832226; 912233766; 770659639; 804913180; 673597384; 237817484; 670469668; 948439259; 914969076; 876883565; 89633973; 630977507; 428839562; 912197272; 983113983; 565096697; 685793387; 331565895; 533814312; 625979895; 483785559; 864997348; 437620001; 307834843; 181748831; 900521518; 423360488; 188001069; 130035767; 150317880; 594002074; 737216307; 957171552; 109978028; 198143309; 966900500; 856062976; 303577280; 697525840; 137336397; 543672041; 784204026; 211380076; 325559882; 63801235; 501829366; 951165833; 519903387; 47802369; 41407174; 348614142; 773779652; 724084450; 604561140; 16764475; 381926008; 663968842; 335278421; 570428434; 41859330; 609202142; 427128913; 844714942; 945291393; 337730901; 501477967; 630750258; 286423732; 974621563; 623881546; 559317712; 405179056; 705962120; 496168946; 901286323; 980178638; 713832492; 989740250; 336259995; 213632017; 380347256; 876831772; 427075652; 998613200; 709267859; 965569922; 41037362; 639543265; 389779466; 444948947; 187437238; 907115341; 738161343; 486912589; 922324875; 125514310; 787003433; 300033978; 490101878; 606096007; 39746711; 196431154; 319239330; 957651710; 287029057; 932724963; 891922484; 399632361; 749794095; 427710809; 881703527; 846511386; 489290705; 879900606; 8646401; 119999740; 406954807; 856909016; 277756403; 517076984; 684896561; 558258782; 804572941; 10782320; 656251647; 689100239; 825230437; 197063603; 29355297; 525896150; 552354982; 245945992; 716590226; 435211993; 215670339; 581877531; 49533339; 889657698; 820871438; 175082498; 33833647; 509779831; 523238406; 920160333; 605220052; 971853347; 356338937; 714475918; 437068095; 883251094; 414745864; 281048399; 400205615; 75008093; 201050530; 599930129; 887752971; 206052048; 255208993; 515885823; 859465453; 61522625; 53653198; 248587976; 998377410; 292514883; 670336885; 542566520; 484741680; 363322089; 428025067; 843128984; 608770057; 484694981; 353867676; 713740051; 145546920; 76632583; 462978899; 277190053; 405095494; 651425185; 2382353; 263770364; 86277363; 452278581; 508865559; 521364427; 347277539; 551370929; 478459301; 970196761; 334959179; 496894344; 845482053; 400294502; 61097412; 867906140; 51232511; 561804829; 56493562; 743579313; 875454964; 936730013; 887763707; 592096434; 229083337; 731371594; 536002704; 359472383; 408541095; 734879479; 508901650; 747347318; 51232778; 895476482; 188565043; 706729304; 139901244; 926927420; 548754632; 141389560; 539649339; 158092537; 853986578; 654482596; 350057482; 913000620; 377565459; 307005708; 572393240; 852651005; 202774458; 429029628; 538388583; 43243475; 614756376; 51612641; 806492929; 316664749; 119722652; 438856731; 339203041; 302246810; 310809883; 885372574; 938960106; 365961503; 661174049; 609350538; 892229590; 503760913; 440869156; 514731486; 862133031; 384774904; 605564512; 63342572; 619062769; 252318734; 850972184; 230502227; 839170044; 228638321; 321910896; 723598918; 310871881; 973470739; 929234324; 672118224; 59832857; 672553980; 473573851; 812341883; 390256933; 831384735; 193583011; 768624917; 101233160; 274250373; 526688062; 40426463; 689997032; 626300471; 984080254; 599299291; 361085179; 973969617; 136845671; 161245930; 10071770; 361925808; 849684956; 372327818; 666148904; 387759756; 167894470; 737125008; 784171134; 351376990; 353005609; 528023496; 994243522; 145214693; 619775288; 995717305; 403556058; 919508318; 373903425; 607868194; 617217521; 40505437; 549781282; 261528354; 468079334; 450096082; 919937528; 954336956; 812408577; 727430643; 397690443; 213042333; 550606512; 858584873; 877844939; 202600987; 891399474; 947584164; 352292550; 149160727; 374169070; 18300689; 603437300; 374339317; 35282235; 112180510; 878994637; 36465305; 726866071; 820658012; 251430562; 416786392; 683150830; 831793699; 139859659; 402598883; 94378261; 39194310; 300461467; 127708158; 352056217; 794473357; 622442097; 382830924; 666482877; 262129358; 18133550; 990016424; 360934944; 979679534; 732899546; 840296224; 953045787; 15373; 997276116; 770433192; 3767936; 452540333; 164983106; 703532049; 139954857; 996501759; 487375711; 279816681; 27915572; 376620567; 844620044; 787507840; 316212934; 525987674; 565802056; 426030674; 978918641; 19201250; 944959094; 870126572; 478617760; 114741511; 451185078; 467321599; 78735171; 971713009; 198766436; 40990175; 700312784; 549261220; 565126202; 360233081; 658669736; 458919164; 583924950; 469097072; 746725301; 512512323; 498510671; 355155210; 628905275; 900264324; 984077594; 815017604; 394046757; 390673621; 586457485; 574770808; 317048357; 920220949; 30930886; 456697945; 500132973; 484411951; 450951288; 46588628; 467211643; 803489767; 729288942; 642342948; 269468742; 609784032; 983602674; 496366014; 980735884; 391164265; 750244820; 983199393; 14534793; 86476794; 755273961; 469047061; 839464113; 341600711; 835890878; 449647058; 732659769; 896136688; 297447478; 430114134; 297298388; 735034405; 696491188; 582165853; 160080174; 230225608; 801097214; 463371504; 730572047; 511669560; 851303472; 736127240; 449536227; 962730017; 645368139; 406802233; 402436153; 389650282; 98550855; 756967866; 58232260; 212733957; 610967177; 879316604; 61078811; 378127748; 144198419; 575051398; 320426193; 175610390; 120126405; 509335018; 6981649; 301776696; 395893113; 159983082; 334565426; 222906151; 808501696; 182794663; 961727838; 241712984; 616507619; 895479993; 295669833; 432000326; 613402744; 554238745; 811907672; 567682361; 176439617; 481239439; 688703675; 573780415; 201007674; 785359569; 314725441; 788191419; 829737775; 682144896; 380655130; 513392046; 858810819; 881642267; 174994365; 108327454; 498226452; 361670275; 37956596; 209715234; 535805938; 682438159; 688437803; 953138512; 951169768; 616929900; 689590842; 271963035; 606223204; 419207728; 302205192; 438554755; 54546966; 284660638; 218128197; 550210681; 843253862; 220634105; 410861308; 349174655; 272621424; 352222459; 736508794; 588771734; 779370090; 857480902; 745677570; 693618527; 735862941; 291877913; 531950257; 720670626; 49812239; 357449331; 395235959; 746868290; 44791195; 808625255; 189323893; 855330218; 746778175; 87995227; 77312615; 456430459; 853075529; 101585697; 276859281; 43518050; 722471123; 722042764; 326599861; 968788127; 146630605; 250602068; 102659130; 729014644; 275090663; 482445211; 598774619; 510029883; 58120426; 499112705; 719152897; 677976947; 598822977; 474334335; 658214181; 628543567; 198895256; 720727644; 864823889; 224673013; 188577003; 854536343; 541768863; 576922483; 377733930; 574384508; 784470426; 421210855; 486498132; 696605683; 539927073; 913820694; 636841536; 863096350; 151370672; 256859243; 132566970; 211124277; 369184892; 723244961; 959044623; 595290980; 493680576; 922202350; 694442637; 609620081; 518921681; 164764484; 762391857; 156113384; 507359211; 790101723; 660159745; 232201150; 163795322; 55435734; 978677744; 633035787; 71508471; 827918514; 887484062; 243535150; 708503351; 294089871; 260805695; 174907109; 84168836; 344019606; 977977540; 896617804; 693162593; 585029938; 917405736; 771611389; 979099181; 566254971; 793501372; 404234249; 800615917; 122862319; 78710425; 577044214; 762930623; 894340720; 129593303; 425182056; 23199828; 590275301; 399912770; 648190306; 83038023; 604004991; 100509851; 269816559; 398677867; 747522278; 685777269; 927006982; 875059926; 88443430; 598888934; 147807703; 949519026; 936384185; 887799770; 186171577; 8059881; 721670213; 182003147; 639103104; 695737162; 589925957; 672603871; 882623802; 999712032; 599173840; 398962414; 171808060; 733820300; 346838708; 308205730; 526788208; 534291804; 310573422; 457045868; 489540142; 331000898; 939538987; 976217559; 711582303; 892978643; 967180419; 53721378; 561689789; 108654321; 655043893; 427740996; 17492617; 570256158; 854377660; 112234644; 709219699; 856186789; 380316988; 662367450; 767795126; 73630187; 426956061; 474693065; 86603869; 911968255; 790864362; 751647647; 993277827; 360358821; 703587670; 146868131; 17728860; 595136778; 132116878; 709047013; 216041957; 249025134; 433801233; 609398788; 620998759; 592373554; 48930352; 947068547; 94276598; 704898842; 964321413; 660060113; 419244928; 158403352; 853027779; 524017971; 359123313; 649782863; 180686177; 169871864; 392286647; 543618265; 36395324; 882984626; 847584966; 528682648; 768470106; 550441400; 108742834; 24858159; 397686273; 229789564; 270236369; 754705661; 544346930; 511718913; 129781482; 850548701; 19515091; 360512585; 244238204; 760696462; 521997713; 835451249; 194050124; 50626355; 660986784; 571454222; 496473620; 417900158; 504954919; 327639000; 368523957; 543753455; 60778331; 892473911; 584418233; 620057786; 612393155; 620364848; 530701726; 593568870; 732499260; 360410387; 386081400; 153718913; 400703436; 52867793; 769688712; 464179773; 607771841; 841338427; 868322901; 49905572; 631960808; 856455674; 337570224; 125180096; 798665259; 800421995; 740986502; 220866814; 414431716; 636022647; 49459486; 554740424; 38853209; 120471779; 480649060; 640098475; 384093864; 798791246; 48595479; 110996841; 265266820; 545079580; 238761053; 457349771; 409315974; 755455249; 558224387; 728623114; 639065995; 246199180; 9114078; 225012306; 724747213; 727230867; 264380695; 677643822; 312193883; 781420614; 117169346; 665402836; 657919421; 527488860; 689166624; 124603220; 548287749; 360722402; 656652841; 467540246; 670564529; 4216198; 900130653; 555635685; 496703242; 463601738; 304296113; 559035322; 295297828; 311010352; 509385968; 853958649; 784173712; 127573317; 122812045; 217934172; 625465655; 668321558; 983136553; 708122049; 894654344; 844427637; 650748072; 646530810; 687389193; 101128355; 441318268; 376413187; 221763508; 125779457; 69419746; 49203201; 522350807; 625363647; 678678430; 217213394; 603742665; 515749745; 217860539; 582919085; 401084996; 818886876; 328131760; 455008496; 499830688; 722679797; 76509633; 103593814; 818669023; 775740326; 184516199; 7685695; 558716120; 541938693; 642081704; 777680129; 96498325; 655924387; 975970872; 595610703; 77272960; 546596516; 954811927; 595600993; 880808499; 164450087; 735070806; 597118196; 702728380; 731908101; 466569011; 680759384; 764213866; 802780483; 289947056; 61424476; 116058213; 88099621; 971943955; 319991548; 611829200; 963434479; 474668649; 566116429; 505412101; 908789874; 726738654; 369894120; 82620437; 548842377; 232947416; 52327729; 433352283; 414563553; 693512357; 294309348; 596714856; 547113472; 909135606; 347117444; 118662652; 257474198; 480740368; 987000901; 179681175; 880234580; 379159384; 924645285; 796847248; 865753083; 254250388; 290257676; 231170861; 449799767; 698418766; 399766491; 515217698; 765650061; 249587906; 407499750; 93781907; 183610469; 2321929; 615503215; 468784357; 443023406; 88882383; 971803587; 663868099; 59567724; 277565921; 778679221; 71912546; 873227631; 619627840; 778290872; 796854045; 787733744; 439908832; 964615367; 256087313; 534069083; 790431276; 867170327; 901210900; 627783728; 950502565; 807463437; 396981484; 334428065; 14534556; 451158362; 922971190; 453607452; 220884446; 670716684; 247940206; 143047490; 383737193; 181861444; 542367583; 310434015; 250798893; 174685305; 995068011; 900251870; 353883668; 853653357; 483140462; 985454337; 621289480; 483584815; 950985017; 382756065; 564581712; 518789229; 544800656; 163828514; 142985431; 401822910; 103977366; 56329138; 625005290; 975360590; 676281869; 438116056; 401056922; 601614231; 459420890; 346869162; 114812322; 106592353; 42944056; 113258009; 755353747; 500629524; 910954403; 156626096; 676652497; 349118279; 484505817; 501268425; 685217038; 944994198; 24507502; 639641940; 393107567; 703965362; 244781623; 446205114; 824513506; 850329452; 246317929; 27785941; 401609303; 466415365; 535892486; 749608913; 763876056; 38141897; 791780693; 692083459; 957841976; 277456469; 750326627; 386692199; 679331812; 228882113; 29635733; 170783247; 369543560; 940071191; 601840153; 515510752; 626213877; 518077651; 532601014; 889644807; 620490798; 44568272; 55578066; 494086100; 536336366; 42629548; 123971002; 7935435; 561372961; 143788903; 90224380; 850892602; 417749652; 730270646; 836291528; 423611354; 233523814; 498643877; 631188437; 151869452; 400161007; 172309753; 616087847; 444488735; 102987453; 502975554; 810303193; 602557418; 124428976; 505653401; 729059244; 304146295; 90982286; 263588047; 748320961; 388284560; 664777602; 603583560; 717972597; 61087417; 215618977; 840211902; 891379273; 83131294; 161503198; 486562364; 622704586; 264877427; 666348830; 123933071; 669873358; 401703381; 302886540; 597130375; 801044244; 220568814; 459924332; 165190378; 912555972; 184653153; 346049620; 238047377; 812981350; 33648885; 84954214; 38703894; 525908831; 14565868; 274058857; 703513094; 622840516; 506409213; 293150435; 641685287; 508149921; 193569247; 40793630; 908387030; 296289771; 845780867; 94275982; 758613689; 240524383; 725682845; 287220371; 366142532; 567451863; 779259196; 475881056; 327331242; 59228070; 689863636; 915381308; 393764477; 596140071; 96647024; 743679878; 356649233; 514293000; 984239473; 815011605; 87723271; 91180473; 931847415; 376424748; 230608455; 335634883; 568098719; 308553847; 321548022; 170341896; 14470360; 469237965; 828855931; 402919391; 567168715; 317828487; 904022270; 475572924; 979555330; 319664614; 88052342; 126282152; 855178124; 175674539; 830291876; 911100696; 142230218; 643807268; 133170174; 13147186; 34002344; 701157829; 778475383; 901710444; 688532048; 637183689; 46413801; 145050406; 687976624; 976768437; 859986624; 804626066; 533614941; 327073018; 179354321; 493644793; 616544455; 61409701; 561199849; 890304712; 816163611; 423643973; 747483890; 257689900; 165072457; 25381974; 633160565; 815971508; 126806903; 184864224; 415002742; 205366569; 840893602; 241360343; 85499418; 829397184; 587999281; 10329229; 926115830; 210350886; 25504080; 476581111; 123254679; 606895449; 76583042; 192547656; 492773730; 185605358; 400853624; 585033999; 708031336; 412180256; 825964821; 781905042; 622024551; 952983723; 222583759; 616879966; 298725360; 715680135; 349396085; 285729589; 752108659; 801734993; 360171809; 325686472; 116279272; 826125520; 61956937; 764306757; 847006607; 917684861; 700554904; 959829390; 268151651; 904969097; 266054488; 606001497; 999305338; 672369290; 827937986; 374284153; 909965535; 463461955; 181329734; 368463070; 153607173; 889338775; 662155889; 483393033; 963015571; 717181138; 147936010; 784561804; 430248572; 324102226; 880202079; 123233620; 917802285; 144293405; 453677049; 711421792; 106583886; 119046641; 986711377; 63108601; 116054090; 628716319; 513183494; 80261572; 316751255; 800363700; 342616005; 726740720; 252612276; 717991781; 866481209; 917938335; 732476485; 764422159; 269722012; 743800690; 284409016; 727989235; 874444652; 966744323; 878355701; 650660334; 935607095; 980770148; 60988098; 647349136; 888235232; 528353866; 685939846; 465084367; 985222410; 286804540; 875623754; 859757307; 690845559; 202910366; 807788388; 430169902; 449222965; 764440433; 712820280; 308683313; 530594120; 762690091; 765921735; 417113171; 28657474; 771790122; 710730219; 716324025; 788337348; 800552416; 277705688; 675792678; 520222859; 19101338; 115476223; 574633083; 413051437; 619524949; 378328913; 505468651; 786725263; 709756403; 321326995; 310941073; 621895323; 621230616; 645842220; 12042243; 470841862; 488443792; 358687185; 646523599; 432254545; 772964663; 726214518; 395501656; 460770024; 482294903; 401612651; 941205432; 56311955; 170972877; 95942260; 762227625; 139512858; 42862214; 676597626; 399276082; 629808305; 265909890; 289731895; 478466102; 522204670; 697572365; 799059260; 991358480; 254968398; 792878964; 548993540; 356779601; 633899380; 440095962; 816989624; 451952360; 896608073; 782136977; 481902314; 131662046; 648075590; 843461974; 600545643; 384565027; 940618194; 340121157; 132455962; 282109091; 401143692; 173730048; 43386970; 915624202; 449233431; 290531651; 164608350; 288911136; 306149316; 397014374; 341870390; 374222400; 653219180; 650258368; 985113901; 29587607; 378210148; 382362307; 462951324; 632160640; 323798219; 59930075; 665862878; 131615396; 805553808; 123685153; 546460986; 535762293; 547351310; 464311112; 634134582; 942546823; 680826928; 688756691; 323417483; 430368764; 966171665; 900326677; 297695148; 592525187; 233277586; 283751243; 326987011; 727699483; 620667137; 24576546; 551583990; 874888429; 414096503; 239700718; 268682217; 695415821; 539902199; 759940925; 552778296; 133226163; 711262134; 888809295; 879849362; 469534637; 870673379; 390399328; 635493568; 111265962; 963789334; 986027263; 56643179; 370605889; 66783933; 494742526; 989615807; 840579315; 413811219; 184203386; 838344520; 832011031; 497062359; 98591176; 308978043; 577580567; 160029493; 665381845; 826199376; 561995896; 356634123; 790660380; 93745487; 656605956; 464783673; 30450065; 420742524; 958001553; 5066574; 466794373; 334290425; 884049434; 532640488; 930303573; 95485959; 452405146; 680352248; 882338363; 851608258; 962028073; 91511461; 26848662; 529411339; 631241906; 803963521; 725450791; 571362014; 337521211; 643825877; 299214342; 549112875; 272056497; 292506176; 258851704; 915108080; 205002673; 37469240; 307954400; 162981946; 19237505; 130781279; 295820354; 167495545; 813258373; 938910888; 859610879; 20842671; 939634900; 121819605; 873045113; 88077986; 697976440; 686493734; 143527769; 974984554; 503739341; 843827083; 892207544; 663354004; 271984781; 504866821; 977702108; 937851518; 283546791; 322114948; 70832123; 127091208; 510663017; 289142859; 959486148; 552138056; 307445015; 726230854; 436760654; 358753429; 133970647; 422607847; 998997500; 846388725; 143892011; 733904539; 620447460; 62229636; 604687395; 697609618; 68176943; 810921443; 341008612; 865563678; 580718837; 405600568; 573155666; 117804850; 957052050; 283958261; 170023882; 768716815; 492256949; 671047038; 7037610; 81522487; 382768011; 667590847; 328951339; 18108822; 904821365; 26946969; 614947723; 341847785; 965917237; 969793156; 602466359; 352581442; 493181037; 567733381; 363667521; 737022209; 32522294; 51065796; 840474078; 454421787; 422273149; 520635536; 57349295; 630738832; 139695705; 591664026; 381004410; 194387693; 934143076; 814209073; 944644236; 89899746; 548184505; 470600647; 176914388; 13202620; 318156580; 457067238; 708692155; 353869759; 550637306; 607004220; 25466895; 979246133; 126018376; 752791373; 877391112; 176801976; 613360760; 692924574; 229677017; 298432239; 393536252; 770960240; 280620434; 300024702; 179602568; 316994063; 446887606; 777808638; 549669447; 611901941; 598935025; 892727733; 55189679; 965052188; 847264126; 321059344; 920165790; 172392689; 861613910; 468551360; 105538994; 735864845; 806799887; 272438802; 274905712; 979443091; 45196455; 43620675; 167615190; 729688143; 676398661; 219210922; 539776453; 907760758; 970531033; 794966680; 872331510; 458741028; 270163883; 933396280; 21038276; 207417919; 599326826; 96220945; 913681184; 788967346; 996348225; 418987639; 838566818; 518070026; 59903215; 981014708; 609860417; 274408060; 396225486; 693228197; 595626986; 204693377; 956645615; 338740107; 60906927; 904343169; 75636732; 478556284; 579754269; 21910851; 238722453; 420951830; 531920503; 383986213; 520548427; 256757951; 124066665; 93461619; 2077471; 403361689; 263728569; 396418090; 365963283; 388231696; 147555407; 476723696; 660297848; 329265544; 797609924; 125905467; 770051127; 59682270; 321822848; 828470157; 916552944; 981426371; 503182462; 455726695; 662124546; 938681627; 419822102; 320226586; 278407800; 319219811; 443769549; 500607983; 883242140; 55348389; 794943858; 331574166; 80245592; 922781789; 209669301; 76199789; 374766480; 158534931; 424243523; 291928807; 457646388; 465821111; 958614286; 837656168; 454092804; 936673035; 380006796; 800441899; 250424783; 515974584; 489699893; 852629576; 604531406; 735370858; 976217974; 458401711; 969732960; 420923194; 406725141; 146051040; 105148925; 516786300; 474023258; 81744693; 275892953; 304688504; 321007350; 162972813; 454460104; 810250044; 207187824; 197563107; 526130816; 761671795; 512030194; 193501971; 149760218; 960173034; 808022810; 745491715; 425530249; 446238038; 562646828; 594030391; 341305742; 738164146; 221953282; 149764579; 640162616; 380067085; 110487770; 364161281; 285118635; 914460090; 238821985; 406473184; 655866498; 924441417; 392848593; 874884845; 249319609; 164835701; 646521440; 967148280; 663937897; 493286202; 992799841; 469168988; 303768833; 828335552; 338290811; 814590628; 666655474; 539781291; 818671891; 327273687; 512171554; 812221636; 89715562; 704234186; 702824149; 313368568; 174895299; 459333224; 574382525; 218996366; 471967931; 37355429; 350687392; 275785144; 489194688; 176254151; 117425351; 442976155; 570636686; 422603672; 756332842; 366800796; 720148055; 188035949; 616049030; 82346053; 799707975; 588691934; 148741776; 132012691; 760304543; 910455751; 896791542; 272164613; 637096497; 693794431; 855435616; 199081630; 442512721; 996731748; 625027741; 70201623; 777520694; 261167516; 69993196; 413088058; 211153187; 966625242; 911079091; 61772631; 942012637; 670449573; 258117252; 379571741; 658373481; 704859575; 534607666; 647079088; 804739664; 103082964; 555109767; 359531571; 771451622; 515015872; 573851672; 999059756; 67279214; 840749794; 358645896; 949476093; 194086593; 446166006; 621237569; 789931885; 186999590; 717206998; 150946432; 45341937; 827381217; 595253894; 246563769; 215325708; 49630993; 130300765; 176543430; 55713747; 983896306; 407115720; 181204509; 732727194; 679633794; 734771012; 868078040; 354564356; 721095009; 794042428; 405820909; 341619155; 231134934; 795032268; 547702012; 386321351; 186008722; 316177138; 686831179; 441491496; 391411187; 696237308; 718510918; 32851549; 253702508; 277336195; 993069436; 93588495; 118973092; 734735787; 63379536; 787685202; 314134397; 299946236; 410558146; 382377017; 907669839; 4068775; 917289804; 224071405; 428152196; 286969670; 515048121; 492159903; 511290562; 278961288; 880054445; 831317239; 940331249; 385114363; 146083032; 340774736; 18544656; 111024787; 272178417; 849199812; 452132842; 496506274; 100970238; 477082340; 639863760; 377886134; 503387824; 669964179; 530342106; 249623415; 781517846; 108091132; 325254883; 851920935; 671379292; 332815304; 608829034; 831494306; 73322231; 244068394; 705025045; 596553667; 861735176; 978269278; 521172544; 785135806; 43876492; 824550781; 594961532; 883502739; 909117020; 601358578; 198037636; 869092343; 107979509; 753709083; 818672202; 887234380; 141881904; 80774801; 818445643; 173779165; 503200000; 701596790; 857795353; 241634972; 187310145; 799968850; 958241101; 863466828; 506703572; 778660690; 136355920; 634188820; 868371483; 256702527; 529908493; 239499193; 901921589; 722604454; 103491651; 21959183; 823982275; 521410600; 570335356; 283901869; 68028593; 312038477; 9636032; 563303200; 160826339; 698697404; 60384525; 239794542; 694360541; 38123004; 591904572; 205038578; 636347009; 536871551; 279802577; 935130183; 92011676; 855330343; 38070037; 867080438; 311630004; 462829192; 864030532; 2031480; 249465063; 788256180; 982279957; 483122707; 782928298; 596768985; 525268382; 875173742; 434816551; 987374634; 367638315; 963534789; 302031868; 399790672; 460905248; 186507161; 389349470; 99622518; 814344562; 351759144; 731126077; 621583958; 251344005; 899499703; 121214452; 207709177; 456566818; 304961539; 865736049; 273981035; 203257476; 761473298; 746825427; 487010960; 863750888; 77708677; 18797616; 746082554; 543614103; 60791106; 904717111; 673900183; 480077192; 140634465; 162245764; 422737487; 892887811; 812643216; 329725747; 985959404; 564524347; 273585890; 33748269; 95723001; 564240115; 932567744; 320183015; 953187309; 877949666; 148959155; 729219902; 441906790; 404996254; 455176671; 727777919; 246597346; 701322262; 452657245; 353871491; 49650551; 13290531; 510246283; 284504615; 973499235; 547076630; 354279041; 858549411; 148291107; 75448038; 3714252; 445462049; 277831922; 379826809; 964087014; 506342279; 306644483; 790067319; 506203203; 780877102; 359328450; 381334446; 94027836; 616704239; 898163616; 712360543; 912045942; 152845202; 821905938; 704925378; 674755564; 1912123; 706892973; 426019148; 800498727; 796157223; 196639938; 77493597; 708486906; 140700465; 834922833; 258288024; 672069010; 439249249; 622953139; 757037634; 378667398; 837978446; 503328271; 60117306; 826268451; 217922656; 1167241; 858709853; 834462474; 930430791; 987946223; 539831445; 709300168; 396376154; 873706965; 171835183; 769784355; 682779692; 787105458; 358668849; 622391437; 682083095; 152543235; 658063092; 960371469; 786475797; 679026011; 75143712; 755987025; 70645268; 453395683; 211752856; 175883161; 321329054; 713292016; 596411351; 164743070; 345440332; 620846154; 956978509; 821724284; 791427977; 174787211; 748766253; 667067738; 613104463; 442627046; 313116099; 969218269; 305325948; 188622344; 72675863; 811428819; 944406265; 34844779; 904588164; 511247173; 391665744; 304161057; 258218462; 494235262; 937705055; 234270790; 100009622; 513055261; 665673529; 361572033; 26323754; 546823550; 697951549; 48533195; 160916410; 156130833; 912538829; 733963007; 534123568; 856642689; 441639916; 506606064; 872022728; 235205416; 52612288; 579678001; 384089714; 358010354; 752398556; 612087609; 904031466; 640716094; 795822362; 363527425; 76353174; 699252062; 907004634; 809750934; 166089748; 861840194; 719465934; 416062009; 544544785; 72112566; 314471950; 889845441; 730054736; 878038632; 974142038; 516842567; 740905556; 274842010; 755941223; 81711499; 386117995; 166514748; 121498832; 965639164; 533259987; 876525631; 533368258; 959801474; 364558976; 803144808; 661669693; 358136176; 809915641; 7805900; 173708053; 872128942; 432502200; 451768679; 479369443; 131130648; 232762235; 530140803; 335029945; 211748079; 204435083; 678474078; 642632168; 461037944; 642932677; 906730420; 520108262; 640349579; 923198814; 572796081; 626457163; 105573278; 413278503; 763991904; 551271705; 250733420; 491464178; 434600715; 503710868; 530541083; 445802035; 829253665; 6697631; 123697930; 401644458; 295323871; 448462139; 516841863; 132881364; 986817394; 129782443; 642184512; 709668083; 605689586; 571992304; 969501554; 78396395; 292328559; 640235053; 984296826; 511685478; 633871284; 44482619; 919686221; 487176028; 722603268; 632140546; 52247053; 544341528; 487644427; 367842787; 463922372; 480104163; 427543686; 635180691; 773466080; 873034167; 73332972; 944704559; 447020080; 24205260; 851725038; 418330208; 596002648; 843329795; 190991872; 479705907; 486340812; 279899230; 436917941; 90645798; 199067624; 489966543; 875175199; 459071647; 623005735; 105266204; 657052233; 973718944; 583138098; 308312065; 631115848; 851469780; 136664422; 971272127; 422335512; 714787819; 77710874; 324540949; 974026443; 299972970; 642151850; 756049538; 204493423; 575055484; 191861888; 329092854; 49673860; 576611981; 474562800; 193976402; 454543341; 86172305; 178084658; 248754004; 226245882; 969960550; 870385476; 942682956; 587351636; 9213622; 471800105; 71527620; 535599317; 388384228; 523342480; 11029451; 164995209; 701041169; 878966574; 613284628; 140572358; 556827188; 234633761; 621480175; 696315631; 642905201; 686052188; 997542404; 477634659; 775170402; 769417795; 121623540; 984533954; 909432703; 62952571; 202232970; 434379071; 377511225; 441228192; 896733101; 389309971; 219721187; 833498718; 546738472; 722200655; 500878869; 872513390; 863957062; 552470138; 50154606; 878006761; 21426953; 466177901; 182515221; 734652813; 224969834; 892408388; 625652223; 731470862; 204780013; 921654404; 544022066; 559152087; 785375746; 515279195; 592377129; 543155790; 617061539; 301873010; 533357193; 498774404; 798673812; 920329664; 542055992; 185324053; 397085491; 947402319; 664620792; 288328673; 545108432; 176793274; 676306204; 545011161; 6244899; 68593778; 51536804; 572526118; 981860509; 20948430; 908704682; 696576913; 958051428; 424303348; 327876939; 372987861; 919513860; 267357957; 193077076; 49543054; 323281840; 445583903; 244876839; 287094760; 638393395; 941755598; 743832611; 461476856; 830685995; 351675570; 193604238; 310114842; 667126317; 91354329; 121185775; 559698441; 619093018; 2760423; 623499997; 934586703; 798518497; 817401859; 386004017; 46405852; 428072597; 99921003; 88426343; 952403222; 541801469; 747926058; 338185892; 305353107; 610991679; 50545766; 773370035; 511542170; 259601543; 973835687; 678476124; 395814187; 144939659; 331167672; 363376650; 518141917; 476833352; 64055072; 290099821; 256826906; 74279031; 178023485; 842814605; 769474672; 60285517; 594727669; 711140474; 971902956; 635819439; 275819585; 557856110; 561071097; 673388705; 375846992; 631631174; 752011259; 381008463; 415423490; 402211702; 611877408; 787061461; 930862077; 904716263; 479910347; 615443106; 661847086; 21258081; 379170980; 810197696; 953120583; 998670497; 435453059; 523290526; 948773787; 483315387; 544885551; 580560417; 696619559; 588021771; 294350698; 999396857; 10314674; 839729817; 367752394; 646337948; 215194833; 349479463; 109065328; 790902589; 194108706; 791072713; 406673403; 14700335; 315997996; 646316681; 591253980; 829615992; 730598653; 352006534; 590184972; 468793448; 363649000; 797163073; 94236777; 387604177; 693097722; 411646602; 597427991; 295092711; 771405730; 405900071; 343635381; 814062215; 818011055; 916027072; 717420854; 594922886; 81413458; 683828747; 43014823; 25548432; 282136107; 701296436; 361833256; 505840731; 953439814; 915508386; 14324568; 555195477; 67415115; 811310727; 316206652; 809867955; 326805707; 831306732; 121577373; 363995019; 596710541; 840383425; 318101884; 19807496; 43632145; 779935421; 485079257; 125951824; 117569620; 636877055; 238670297; 292037696; 777276177; 477813665; 577276847; 458012323; 162436820; 649215751; 735244061; 786206294; 361224032; 367831509; 240259472; 689668860; 276630449; 517316803; 67897630; 777976673; 755218340; 48113229; 788241387; 334394453; 190793524; 14783472; 84961013; 960488704; 369506132; 352401963; 388315224; 163483319; 877917891; 153035398; 45289032; 186072565; 457420974; 828473050; 17779292; 263164993; 783015670; 27985221; 136592420; 862152917; 580708018; 535126971; 486864364; 943734939; 843779833; 17990853; 566537137; 859969907; 934195574; 206710768; 812997784; 44993076; 394542348; 427901643; 629355902; 349098129; 526833314; 1371962; 520203580; 643515057; 20489563; 482625921; 950790440; 781490638; 754543890; 95038737; 577805291; 915861961; 685921442; 939158518; 444806204; 679226159; 733782406; 206609950; 892298629; 831382033; 445688021; 399943457; 145377803; 971732616; 209264648; 596298205; 184601216; 568259821; 165960128; 914493442; 144372062; 917335626; 670219593; 434007154; 930325249; 706531451; 893167050; 290588405; 467888706; 824240672; 346675873; 31573065; 288200855; 104120717; 219850851; 765485075; 207921152; 327319107; 781977225; 278459163; 585409807; 632890500; 768522072; 729862284; 778729878; 41987748; 666142333; 66604899; 10072284; 484002074; 684090423; 796467066; 991007187; 768224816; 922214160; 300103570; 792817421; 534968642; 483185580; 445561941; 591016632; 915305977; 647991372; 258254867; 404373757; 347331094; 333225793; 716852582; 474031264; 318337416; 771389052; 873757014; 711865861; 57604619; 135148358; 771144064; 262424664; 613076790; 67697442; 630388525; 552479623; 77264008; 191423057; 402764854; 525063868; 542557057; 844350630; 478261647; 447905211; 549833431; 952466742; 441236953; 692462827; 789130022; 321084766; 416194919; 460084569; 713946309; 17214264; 356414415; 52358882; 933434406; 933525798; 499872349; 634494060; 627340585; 738324608; 725220816; 455747134; 428821863; 421586069; 735432533; 925266874; 884586904; 512164418; 937087124; 19672522; 75657819; 212953591; 101714357; 914069683; 513183597; 345170035; 735120560; 655807122; 718929141; 855586350; 606741644; 973888756; 25880203; 127259597; 462797431; 355111029; 911758296; 908510409; 989414571; 341480865; 554310244; 298901539; 969420535; 707063751; 831115454; 986715233; 742853620; 446668836; 6735176; 430807403; 309701380; 555723761; 824473396; 528610662; 848644223; 890990179; 68844567; 762988727; 416990675; 775502813; 214055791; 106049075; 723566367; 382549923; 224042942; 795626520; 168814105; 375324907; 765653454; 597302838; 851461829; 147982554; 817915394; 670388519; 97641071; 173923127; 994833882; 140311825; 521561148; 485169470; 56979435; 317037941; 760966471; 32637660; 64557727; 480831442; 178525550; 775939214; 287545435; 50260053; 384801470; 865035171; 232858115; 567617341; 756907194; 574475848; 83581047; 332044164; 120975071; 857538410; 893064690; 355383553; 169577325; 293712211; 711503844; 947948450; 333771027; 448271425; 532567101; 120621051; 284811001; 765060601; 216568205; 177693083; 803414212; 69052602; 632983847; 930918077; 208531481; 919505815; 962910810; 321341476; 969661764; 518754443; 753859476; 597641111; 587964969; 195360556; 691438793; 474918657; 289536132; 280937392; 654544893; 242187956; 680087225; 66241315; 935471324; 337557653; 775573724; 294783971; 8065320; 412128399; 368333746; 927379733; 834977966; 769755422; 840228289; 442284814; 496657769; 143728120; 560571501; 505642215; 40039811; 840443686; 814920206; 108272533; 545505544; 514523829; 827869817; 2441896; 654928768; 343621618; 583177521; 28667891; 812839186; 314466186; 198017458; 322557524; 204083361; 280894502; 919973847; 404154866; 985207545; 812743451; 503353533; 639975055; 449421214; 396390867; 560429791; 428162692; 882808281; 772189854; 779466004; 132425414; 279252789; 101776047; 997775306; 75626453; 834304992; 57478785; 400296791; 888870667; 324876814; 323548005; 15118500; 523705039; 102894672; 293271106; 351942509; 285229991; 743076323; 728611339; 177633988; 207379125; 211155318; 596395294; 330635692; 859050995; 370212493; 606116405; 468180948; 848909443; 877900943; 394573666; 807756930; 760299833; 728099102; 283496623; 540899260; 570933634; 47905545; 946700045; 190423395; 272990692; 212020409; 127257208; 521338802; 378572869; 612412603; 309684398; 949819973; 28351414; 366115473; 66783981; 251332428; 423387050; 491267932; 215162664; 440646022; 73700711; 859707243; 944103710; 363185331; 920288938; 200598740; 569785452; 484623067; 512284489; 939441074; 347005916; 316403992; 174018292; 209475290; 797260944; 152205300; 507508555; 450693898; 507206062; 697366663; 874455400; 527897190; 781661244; 997179766; 807547477; 152855430; 682013714; 23877192; 721676360; 304911417; 338907720; 642906752; 433635207; 925232818; 304902205; 385035337; 149989101; 800673989; 666106307; 443412220; 321715997; 480618341; 127300837; 422258606; 105830976; 616460513; 217596986; 993985795; 787114800; 630331547; 295502996; 741173459; 901186440; 214647289; 370431005; 974876500; 336392099; 217187666; 909281484; 940867194; 971550172; 721523195; 649465855; 973129428; 548407475; 917522633; 919803297; 442829498; 17117185; 562862061; 711630385; 223388895; 902302938; 902825950; 112809835; 776695649; 519183600; 677618459; 842172629; 17007959; 430391477; 471216066; 484726222; 782975094; 376933492; 951623573; 645252542; 31890893; 239507426; 492638308; 591339859; 797975494; 275221423; 411923998; 521298363; 548454533; 636352029; 7407149; 325657114; 17764532; 662158314; 983899258; 62204899; 257827720; 513542996; 461639494; 893148503; 278178466; 325657556; 30680110; 42330126; 3137846; 229355035; 625300960; 143405126; 990999118; 681540797; 482815508; 580828215; 259409717; 270545606; 331436884; 172994971; 18794637; 613674155; 588176421; 189292824; 96324596; 146665692; 899767655; 263348512; 228024674; 503706243; 215699355; 778489491; 173880146; 860237933; 533637207; 407837395; 891977777; 148339793; 39023837; 897801408; 854280827; 879972356; 235405738; 457044945; 265134991; 76893415; 775500283; 105263681; 484250092; 918836350; 739003373; 144782385; 925321221; 776653665; 520994929; 901516302; 996486476; 780076420; 647737189; 884375586; 551832245; 625893209; 843294161; 968555190; 591913123; 577477507; 345714475; 216052753; 812162831; 303903334; 659361814; 749423526; 780095367; 864141506; 946007090; 35482584; 278033273; 27716594; 226440075; 553518442; 212466037; 470158131; 8251636; 104401475; 906492151; 941749716; 967765245; 467895849; 152857011; 126603748; 3278740; 378313325; 191982188; 310383143; 701833350; 681480423; 483109071; 103598102; 712948811; 90922847; 563260129; 262860854; 909394003; 166288486; 38691469; 190307756; 13203742; 772669437; 409976920; 38570600; 315725952; 5567783; 99837513; 429064162; 608597176; 782086760; 967542179; 457868402; 657381540; 484359959; 273467215; 814629525; 771053655; 484396846; 549727464; 773068760; 523072490; 300779742; 44937467; 609627092; 287416062; 770020896; 632492958; 375137547; 44864216; 832781348; 120114558; 327048369; 634459417; 489591103; 341860905; 598093130; 701370662; 788093473; 435778803; 697440796; 88549602; 785122924; 742946850; 723922768; 419036125; 649598866; 844813283; 900009949; 203988276; 371191510; 612833082; 772319562; 620020512; 338169579; 544060422; 16266423; 592091759; 1025175; 199433419; 383479529; 504586886; 195293709; 266672934; 140166996; 198792875; 58438932; 67514518; 294151583; 297088239; 768867012; 809347034; 784160001; 97615493; 357524073; 117498359; 118414851; 213438665; 244319264; 319453548; 307364692; 732237589; 309265821; 660277744; 45338051; 180179910; 367875312; 333703609; 827947986; 152311939; 899413517; 702447384; 550499560; 363251679; 513792449; 157443546; 604480277; 85750987; 794428288; 356127000; 659385501; 672317385; 747587806; 519982134; 257928658; 363720532; 95724194; 199574939; 344545324; 485768648; 210723051; 909735716; 765078136; 82613088; 545323255; 516319127; 954343044; 580658840; 92928570; 648073011; 509938883; 940400257; 23128244; 909000930; 392555062; 801049554; 85909880; 797674267; 302379338; 705691033; 488986141; 239093260; 102557482; 356699949; 278917153; 329516446; 274239437; 233382875; 123574374; 508426029; 182949729; 179729698; 553734942; 741801734; 561952462; 47391152; 19863986; 97306960; 733783954; 959782724; 703407976; 716303114; 316418219; 620163017; 57037848; 486822419; 257673221; 915981752; 658415727; 203130506; 134314615; 800229624; 714260474; 400933635; 839953715; 682302196; 927782539; 897153614; 992317192; 890106386; 334136281; 880480441; 629964799; 893583473; 825641591; 33084216; 264643283; 257479805; 375813094; 823274964; 849796443; 953699688; 370699454; 627543223; 561818772; 743934926; 591918331; 879607652; 397307123; 450238291; 419068976; 539012139; 771073153; 579756364; 398319242; 628223095; 969464342; 890486122; 281882583; 628610058; 807788677; 117302902; 138934073; 552017770; 36487019; 453025991; 196234890; 946660148; 818512605; 906665527; 452294978; 649579018; 217853998; 658637832; 611654580; 811742356; 641463870; 310118861; 206380599; 154671437; 744995622; 522148225; 256580545; 949998179; 322034949; 543721994; 896334555; 758361328; 770052268; 143460361; 50071657; 851247045; 61609561; 886712037; 666666727; 824975136; 253061983; 532149434; 754071213; 61941055; 737331302; 910706031; 281516688; 794176726; 945438182; 554254074; 406048857; 963618539; 371609476; 213798983; 83712611; 186792523; 696939605; 30888672; 966094694; 590381463; 129034753; 399946960; 160250204; 690834700; 903153771; 751097029; 71044949; 314951143; 228423877; 78993464; 29203494; 306777683; 619318660; 958310676; 887961896; 265479404; 305124458; 668995421; 543145125; 622964125; 804004891; 619995093; 172405371; 334206079; 824476711; 722853462; 935876301; 724470980; 816569431; 767596340; 671130622; 502200340; 600383110; 59241655; 532115235; 696180192; 855163213; 18515251; 220608527; 183422539; 349997421; 18156135; 780043290; 905065325; 605728590; 35137863; 10653427; 870447187; 12646052; 766705755; 728775653; 888896621; 91745587; 296206341; 410675576; 251028693; 215077340; 48408999; 279121072; 125868576; 681096562; 511588301; 432664707; 803445596; 594289845; 688320863; 393865966; 174880215; 840879551; 644954703; 513082804; 597208735; 84136547; 486091013; 290448377; 207966875; 239898245; 454442223; 860071203; 526811529; 908949998; 815255630; 668564275; 566636087; 691101607; 424084675; 669101675; 777503855; 59108927; 43014561; 182020868; 541306873; 680681859; 894394278; 323132606; 615527423; 287224932; 80322721; 154990319; 660726689; 341439205; 683799921; 578068809; 396850320; 812036742; 913738031; 576672523; 302709455; 913460855; 72258922; 779620609; 584739665; 773291183; 739046691; 431266873; 558195594; 456289500; 298737995; 265531664; 604881129; 110588404; 182476258; 37952813; 123733035; 747630729; 668941955; 400125357; 114774978; 729727825; 170802297; 277135312; 7900997; 962236454; 218716661; 915751880; 672516493; 681316106; 141797240; 184759999; 480499181; 856054942; 460099146; 993012267; 135805789; 279332667; 147192654; 151743041; 640047134; 701745686; 914155071; 93410265; 285626962; 953742805; 500742447; 865714980; 430793794; 66494081; 13225744; 697366075; 834903759; 741934048; 271641932; 70967851; 951272120; 681827096; 888442794; 299409406; 932730950; 310320640; 458544522; 792557712; 897885559; 727042110; 691917942; 607310210; 609181843; 422926550; 112491675; 129215895; 470688900; 739552025; 644524817; 718600214; 414202350; 528169542; 713266662; 333822966; 8313102; 857948229; 893329819; 260248145; 19453001; 382979850; 143441466; 672703823; 802222576; 73881846; 72823741; 316930079; 15079771; 784397128; 55539999; 177043390; 566233721; 736855206; 41324810; 409078018; 673274831; 181565532; 349169716; 406876746; 344235628; 307807966; 501969119; 831800056; 439836590; 772695645; 264222198; 926893387; 781978491; 97171708; 615394385; 635202743; 595164994; 943474068; 706237509; 701452471; 931951660; 130830996; 594428363; 103903763; 535510083; 432502978; 92698085; 598225646; 826330408; 811947439; 327199743; 765427150; 540118361; 409604442; 509559312; 649987285; 147102835; 769136235; 970970520; 220334052; 992858439; 550331126; 345134368; 689307995; 169675560; 612734079; 452259244; 81107559; 633192037; 630071262; 234112943; 520951691; 171774268; 86921864; 745438065; 678098619; 579520204; 652993409; 10810262; 262406589; 641724637; 105474379; 465213442; 909713039; 453510871; 24293876; 793583278; 722431057; 421398324; 570455366; 167517850; 164000648; 504631849; 831663621; 444090821; 589221061; 464157966; 448078714; 103034698; 743401970; 795356892; 566803340; 673772485; 54476883; 249025921; 468364279; 906106404; 809961806; 24805522; 958679406; 869329093; 980641732; 88651849; 856482055; 183284720; 249783177; 214709044; 333126796; 499694256; 330284780; 805450373; 592813741; 689241086; 5532583; 996291179; 89972801; 86090703; 372019639; 922975371; 418477210; 766793516; 111797484; 520750989; 231458291; 251788946; 657285751; 600424228; 382344803; 332311427; 552968012; 796829524; 245146552; 980528220; 556421809; 874861590; 68307169; 44236136; 637100210; 544490394; 823069629; 339929836; 977238599; 184647842; 173065800; 800494910; 514245492; 821909643; 259667622; 406233696; 858905107; 101987015; 261045555; 340910010; 372570607; 925918861; 959313876; 396174984; 620329578; 331023946; 117551153; 868703892; 333645074; 850860628; 33552615; 233441364; 46015346; 868326351; 270368623; 183976174; 338732774; 572726764; 789992269; 895093501; 870213910; 252776941; 361372228; 680352246; 256114355; 299425952; 896039406; 833828456; 147152639; 82533441; 380125505; 763755139; 712690708; 865834725; 237187282; 332266954; 813920126; 438266677; 858397088; 44362541; 231399850; 817925402; 863463333; 374478849; 407385598; 901305383; 711112167; 990398067; 684187527; 397918017; 178119547; 674380325; 546829908; 898156893; 648929545; 925894958; 474594270; 242082597; 602103594; 670873268; 857192878; 771501019; 200182144; 640668621; 990344856; 853983771; 782491231; 93239133; 462291482; 265228543; 273321469; 617908953; 573696573; 718087201; 196162311; 553598980; 90191096; 582963321; 630493578; 766323405; 787758612; 897881768; 696508717; 599740978; 348374745; 281374585; 392314678; 995002931; 792968740; 572273241; 596579610; 177655664; 424706575; 155937702; 20449492; 617436514; 481923031; 279517592; 294853656; 116962471; 276412754; 970621326; 677359760; 835957314; 812020904; 203059433; 307448842; 969016064; 777333419; 177661320; 216827043; 885439178; 350697932; 664172170; 190938103; 53028187; 968595375; 571692323; 692495147; 551678598; 336425978; 415520038; 958360104; 709312087; 782155944; 742966876; 302264515; 336784132; 720388834; 235097695; 225805740; 337334057; 770092337; 393183628; 209380170; 227788484; 735912113; 637373153; 629945416; 798411682; 898075137; 76903557; 780656464; 648310721; 397832646; 87807165; 711947521; 988513320; 762966579; 548733821; 278179159; 46965314; 633687703; 997362929; 960408512; 882577795; 880841391; 279664912; 326390113; 743153531; 385293286; 61293601; 107850032; 432519106; 655464953; 572885386; 921564602; 666679172; 533433272; 503096669; 161886235; 204346875; 50346607; 688272252; 659552454; 830018578; 426657936; 331913173; 250152044; 438596841; 207687791; 35309318; 153336049; 370965602; 359415956; 61395443; 635925433; 445691691; 764265441; 846175918; 736363710; 389720865; 797151107; 324876648; 11584001; 82572586; 233942374; 39299065; 846954196; 374907553; 506551492; 961492245; 711601930; 262762289; 940503780; 320785591; 647612132; 50720267; 552107857; 699772988; 67741057; 873405287; 288978634; 862980183; 738569512; 23592868; 614004674; 215527839; 473537508; 217026406; 613031935; 635988087; 608744935; 55981542; 278767474; 436251533; 734928518; 424340788; 546157049; 596965756; 931339782; 359475005; 431284453; 92057662; 83254349; 557792268; 555344673; 678496308; 423922253; 641914617; 887563407; 191273157; 343981319; 735544289; 489666897; 327974487; 682326381; 832264300; 95114022; 233542303; 931192206; 582186658; 542366922; 827121581; 294836761; 767928698; 125635237; 449382065; 783012181; 533399248; 736192578; 452312486; 643648291; 469034827; 6204926; 754257081; 869244517; 367407644; 657601245; 537396099; 565375586; 677270381; 712065339; 211680190; 403286844; 141402610; 209607012; 299815018; 17228696; 307908329; 978265360; 476288944; 353400249; 243818803; 794332905; 866412578; 580043944; 744794364; 345478196; 706871081; 781049708; 368262270; 5231706; 511813186; 404471494; 703436199; 522868382; 857149446; 597128818; 755689692; 152846262; 415311908; 326838723; 846308891; 512532192; 967901947; 297820237; 247524090; 787121497; 756418262; 549437181; 467222565; 66029545; 179822211; 232140203; 448364917; 126983258; 253704282; 946102930; 887203620; 54732275; 168264917; 325840214; 895440810; 275347949; 824024386; 289592370; 602890503; 710589612; 604276664; 100719403; 436385434; 669008948; 348847752; 791238325; 949005477; 394242895; 949348793; 691465108; 843682099; 981564174; 722655015; 177881338; 452971593; 436225945; 179981671; 470970595; 160499069; 534474977; 195779269; 856317214; 45512742; 793990805; 523988651; 346634950; 746159064; 39685873; 262465044; 150531394; 126854; 186893167; 139852826; 675061566; 701937155; 636393247; 966116173; 872614376; 116686052; 586443298; 592593499; 25899325; 434840546; 890515910; 173323433; 445662697; 439074530; 863222244; 840794720; 657147441; 167781920; 898650871; 638983906; 333627167; 189418421; 647387401; 319461659; 201930557; 748937497; 213170241; 623759838; 681768315; 859715318; 234524985; 899475709; 819458753; 391246263; 43585670; 56580453; 979462645; 521108289; 396309723; 918937602; 707998929; 773906437; 802221709; 568579366; 598197898; 869357968; 379934272; 755926019; 723097128; 208754005; 997545849; 114648230; 36296582; 361894229; 320410478; 394050838; 421630402; 536589743; 189022211; 915393826; 87084765; 957883529; 670702169; 985125754; 899722147; 380400264; 728575324; 620968665; 330647830; 278751019; 249947021; 7360780; 597484258; 120908304; 74990485; 129389943; 382572677; 203399844; 506285710; 729207013; 753569951; 306711581; 987268946; 39343654; 726190948; 111351091; 924269849; 179163326; 842172983; 67679321; 239584418; 133933449; 579788457; 167158467; 27968337; 399186949; 872031325; 753335193; 749495877; 381261761; 401011365; 464126386; 72457786; 10993310; 573663498; 865338788; 87016459; 589729420; 954597557; 388090973; 593265638; 580545314; 89553574; 77283084; 8093222; 354201119; 938294004; 828323546; 324760215; 742935641; 326727956; 295475873; 649108281; 295622208; 327927634; 940518039; 616238708; 375179917; 750723048; 849346305; 309936393; 854299193; 17577868; 54669318; 861377827; 599534642; 881965595; 569679876; 909229443; 9852285; 895581181; 655469763; 83239350; 96862980; 390125277; 361038908; 54127803; 128972066; 380114324; 663874180; 478999394; 106718060; 109053646; 990166455; 227218885; 544050174; 438389702; 927943481; 630293097; 455219888; 636425912; 890707506; 199137241; 832511739; 134203080; 890865964; 31848860; 679903522; 138765091; 205472408; 106859535; 103519329; 67620415; 806616492; 533361425; 746816059; 12794213; 824948540; 315133282; 114375704; 228479189; 913021788; 614053333; 722820424; 237648039; 223610489; 809214945; 508821219; 544774050; 364893091; 391563224; 769093088; 39996233; 821486731; 290256661; 210843811; 83118414; 890639898; 850623759; 567026127; 92862841; 862585118; 325549171; 652011435; 829214386; 9197913; 92097637; 599938675; 860161725; 789790810; 114930349; 319132057; 417850815; 628402589; 136360209; 762692456; 342393096; 526087009; 393629444; 629868628; 686858562; 104658300; 527515158; 74651188; 745327960; 909854546; 494982534; 331349128; 981956439; 37011301; 328374715; 985013826; 380624156; 597149871; 250802984; 531482049; 686924493; 289558185; 186502997; 942527315; 817604640; 398077232; 824851797; 682782580; 124626759; 941294909; 784212013; 774563923; 736174786; 666745836; 655052853; 562747268; 149447716; 16503869; 607712208; 931872885; 447372646; 651930387; 906155795; 23679707; 11996242; 586370839; 951332479; 817558876; 403611649; 376177512; 697556626; 773070913; 846687651; 192838283; 279950315; 664201597; 428582870; 880168416; 154480026; 161261533; 194293863; 43951905; 906131239; 624501380; 128565738; 992846738; 581110517; 115117308; 693620009; 398906485; 202794562; 838881166; 131643464; 964997889; 642828625; 175208101; 13245987; 418453758; 811943079; 829497331; 400578160; 864159731; 475596762; 784856925; 480758466; 903984087; 988877441; 404145605; 106124254; 729207058; 643822793; 565500912; 801197902; 964978921; 270914836; 709795277; 30128267; 350699448; 904395004; 755426811; 445206657; 52225560; 566942786; 16054723; 881964798; 438290032; 147106121; 161503322; 901005583; 163243444; 691589064; 380213619; 493814330; 72493195; 374585490; 945781817; 79201153; 355912771; 374996587; 232489441; 247269738; 492227623; 411752993; 996145130; 403766735; 196647917; 367538234; 323282302; 217016475; 131416656; 455163501; 493312558; 541876024; 191070772; 809596869; 975891460; 497980027; 424732450; 673350738; 137116530; 557943586; 311468602; 248836195; 248604512; 352954119; 304303389; 238581999; 29345972; 212733348; 206902791; 656075067; 955461138; 724836212; 599814222; 311076919; 978453480; 868833300; 509787573; 865922063; 437076792; 958367222; 187626325; 660789146; 216379248; 38724155; 643244917; 541487869; 269323843; 690230646; 945122871; 167119804; 524508603; 910340204; 970754290; 120343763; 459501332; 137232691; 337077193; 553971139; 224506458; 36639622; 851059113; 655202974; 790859533; 840638526; 482769777; 133630440; 365634125; 549394842; 754874644; 99768369; 357906796; 264076061; 580644696; 549626685; 446815895; 765298369; 86484160; 548429950; 822272018; 239623382; 866459196; 835771182; 564619829; 757376608; 740107748; 120038679; 461298913; 719291039; 656047437; 753730678; 280420767; 768294503; 293041369; 298507095; 380137196; 763193361; 178427494; 922631372; 38165253; 172615517; 482901537; 193268319; 198377078; 739535072; 111052171; 610986205; 783589025; 437414494; 869709413; 843634840; 673323716; 281774174; 389164731; 965439711; 220005684; 538481726; 42821645; 818602915; 770598049; 621357888; 475055954; 700946289; 821912664; 152639316; 427060750; 239681621; 257235163; 850605041; 162862604; 896309726; 210377975; 495527854; 914133875; 642372123; 109870596; 668408661; 874984725; 59701083; 613461866; 723377726; 921734041; 709629478; 322951192; 186901879; 859354638; 150225148; 22644308; 350749265; 96172786; 429809040; 103345570; 554767944; 151641306; 532359496; 388507019; 950989098; 403755146; 617534076; 952313148; 243258507; 86295946; 811264215; 768300150; 627467916; 833435537; 471107381; 224049133; 112756754; 201658210; 366173018; 613038441; 869919565; 13120561; 642504534; 211832919; 96640486; 629885687; 640186970; 705614467; 375377034; 128923806; 670090135; 802376991; 314756189; 612840166; 358864786; 12259502; 561423893; 330902338; 164781720; 902587382; 766731177; 721472083; 37001363; 116937224; 608701268; 610776136; 404183406; 2371995; 401237414; 170571097; 135007500; 710519576; 473083735; 943425607; 732545211; 886650042; 110085359; 929853865; 785631854; 236940136; 176337995; 18427767; 854222312; 752773786; 167789188; 612697440; 699104676; 576860182; 934032164; 155157890; 741821530; 851964842; 872286759; 398487582; 29674029; 287804536; 231676619; 695110720; 710239285; 716195287; 268399564; 376725101; 443867949; 868349017; 316722094; 358069776; 88688482; 382837341; 252933372; 962648640; 961299523; 816623529; 47205851; 141977256; 712179829; 119837270; 92877946; 915382336; 249059418; 798566071; 36291707; 345612939; 662389659; 818621515; 457752981; 575388590; 341091078; 429901611; 11486227; 17061445; 112101347; 244150311; 283202258; 94430915; 119930487; 205710495; 648454000; 244894022; 821964036; 985328257; 651316242; 852313718; 729718833; 386141481; 105913125; 909670874; 653661586; 733185677; 843405356; 690950133; 361207029; 426492956; 810271931; 23437450; 84705382; 749416742; 88354973; 612860362; 291379837; 631052503; 568447116; 120284594; 301516277; 814324521; 148560346; 149771148; 184150469; 153642615; 260759414; 134819815; 365153102; 462161011; 729507752; 564994690; 736417890; 822067646; 370479929; 173991683; 905046435; 275967171; 480909412; 19929268; 13636105; 744118095; 790899397; 962417269; 962736324; 117920917; 304940897; 649172913; 365028214; 175698154; 302612507; 87149223; 817989534; 916974010; 845281080; 527867770; 380882596; 98676163; 536179231; 687580882; 399092491; 745706264; 86921972; 832473835; 161159847; 347417136; 659996134; 602227457; 321959737; 747163971; 198633364; 247052691; 214495177; 241688667; 64797477; 380075408; 745550176; 958285057; 420878074; 344750773; 759622859; 372162504; 45047112; 688611583; 475597560; 255074566; 317642722; 526745083; 665427398; 829001207; 694104109; 681757978; 597900709; 830278953; 990278581; 27728369; 546518115; 885763723; 212155069; 489134492; 89596263; 660395311; 90964954; 883183734; 272639564; 273703568; 945723266; 534587424; 980344613; 799679624; 647531081; 128157031; 561084192; 596265751; 896694725; 718726313; 65020233; 162149912; 978131445; 800540467; 260589946; 716541007; 182114653; 513415862; 277804606; 528871959; 751464651; 310098868; 980415555; 384287213; 522380257; 23202895; 777018368; 135023159; 857500520; 796306458; 820217959; 345921797; 709864427; 481990589; 935853275; 490707815; 717951653; 663760457; 943964041; 447762398; 665385599; 533377719; 794737361; 942328921; 647652228; 148870131; 758506687; 457895546; 155104764; 455809557; 457368859; 184046322; 721602660; 694125902; 522436670; 312914426; 679325936; 882225464; 518646130; 965055124; 774862241; 504582947; 615113554; 71686339; 300635987; 93053363; 73058288; 121311780; 668647374; 552343117; 953281570; 567622809; 495423823; 898089588; 561397124; 674155817; 220523465; 421281929; 453880160; 186802771; 383635411; 746468438; 349633588; 944027903; 519739429; 345261735; 360093165; 796473363; 36369763; 26301434; 214920149; 247312705; 626980272; 334658482; 568741695; 4485299; 690023999; 966895098; 399989306; 959636373; 571946610; 332122198; 723826407; 840674263; 876140214; 30858705; 926011395; 620646699; 276609234; 310303871; 885610934; 567336328; 73720505; 318781766; 565101611; 901481340; 700912709; 442566779; 179267790; 352748348; 194998300; 637377460; 62296358; 254440858; 439151803; 379320151; 820757653; 636042888; 881842181; 467991477; 69384126; 781821096; 522145551; 219895776; 704765846; 685982905; 456209821; 853681210; 790333083; 229450375; 105912003; 184549653; 886475980; 362453804; 163750976; 835524238; 213942877; 753113015; 756405923; 987498101; 750599179; 382095182; 37558319; 997484480; 525137165; 175943634; 687181801; 161007043; 999958215; 940877945; 280760197; 672205629; 465727753; 987696458; 831841142; 198325195; 304884560; 24459121; 850685706; 451532639; 853795862; 537144182; 735181950; 392783308; 103313915; 811792022; 236709831; 992695806; 50781643; 606507366; 337589797; 107509154; 664201577; 389159456; 614081109; 322073195; 224358632; 976450953; 502596082; 139829339; 568321745; 291343240; 639165083; 28786770; 735514500; 545058759; 163943563; 982005661; 956652487; 648323546; 983588048; 752311091; 631251547; 186783412; 769393515; 483299492; 75387747; 898462290; 630485973; 253213917; 143598161; 153303405; 105299037; 248902353; 851548394; 13135959; 833529120; 305471441; 6217980; 219569514; 628102281; 414235097; 858732557; 354452550; 303936043; 76292410; 490622349; 913848809; 438340299; 757866421; 108265730; 310042929; 953701866; 95357220; 306411531; 799761106; 186110473; 51093024; 769938395; 571095868; 220207378; 391614156; 385322781; 196550766; 360989876; 600936955; 819318953; 952281691; 370575557; 480066652; 213328923; 178632844; 786980008; 659059262; 12227517; 593370218; 755377894; 623593369; 151724770; 998191686; 157654842; 55000129; 599865415; 920791311; 308768569; 960695368; 572334194; 431652556; 556249318; 783917095; 651927966; 481388343; 812841789; 105491406; 11437269; 763027261; 459280177; 271033609; 966218099; 764938535; 696145393; 767957240; 828669846; 474045453; 794932989; 735558317; 693408014; 241350273; 130333545; 248554991; 690280909; 995689906; 397910055; 175629901; 571517146; 990203022; 281347693; 667140; 939668721; 27662806; 617176635; 996234410; 736917270; 173217736; 55954124; 598265619; 650469593; 685483296; 335149384; 934815242; 677371310; 716648422; 380163979; 225250866; 710222816; 606385331; 739420632; 14084009; 901592322; 672531767; 523723950; 151824987; 238992528; 348739888; 163768174; 823204503; 780747393; 733954334; 633072617; 367378195; 314254345; 382968856; 624468732; 178046497; 286371348; 168569422; 657009523; 380141889; 193924380; 239691012; 161829284; 636651783; 99673716; 342854453; 576408858; 598831665; 531836396; 858625362; 112512317; 841622599; 495775855; 668898378; 653029038; 957702649; 684691750; 830350591; 982513342; 918739949; 180338176; 906361314; 626666048; 822262984; 223554106; 610059780; 393221027; 845548423; 397964241; 450514409; 237553046; 916001576; 315965408; 609647319; 404880975; 901810787; 24463953; 606190287; 712148710; 862966420; 700874999; 588454837; 67227931; 538804851; 700846661; 172162986; 82205084; 222113937; 607607230; 966438685; 480105178; 855234177; 671352957; 984046573; 322456597; 788383453; 550116364; 262801243; 985335107; 87627748; 273253974; 598466861; 940725935; 55799647; 390469286; 265514226; 996753499; 536135173; 38920035; 326363314; 260148059; 988500444; 859826519; 601823738; 412565349; 109709782; 311687984; 206911220; 141507397; 317667145; 903413526; 19705390; 720882025; 537390606; 944367045; 598750562; 591230202; 8853405; 829025645; 509554745; 57614777; 673021578; 813917871; 662835612; 140199937; 215028406; 744364700; 58273074; 612410786; 912969076; 332648087; 289611530; 259874055; 298498923; 932914319; 791202378; 206172633; 724285543; 597914265; 3286249; 777943270; 677994693; 18307633; 754410377; 682295054; 17300153; 991400593; 624006451; 18555047; 401960518; 206101641; 911750504; 867219383; 51702163; 777011323; 98575065; 376926819; 971284916; 369709437; 751709601; 682885422; 261990935; 114238708; 337241269; 197149968; 63846134; 999310944; 741843331; 499167938; 595437222; 523245528; 985466563; 607422674; 794147676; 597727722; 598928179; 430722475; 695470872; 235130074; 413519690; 105504287; 154072793; 129274816; 135054588; 195572758; 353939178; 424536469; 827765541; 769139142; 115601493; 204856241; 283906635; 575589733; 361766574; 426321431; 454702860; 304321712; 661562188; 7663736; 750468914; 703210298; 704159631; 254285180; 718719539; 473772802; 300999484; 660903661; 228380370; 23332607; 937547643; 308448558; 808694827; 278402879; 108422915; 654796028; 356765387; 171453695; 933571548; 95850420; 643668921; 4182777; 212592997; 664429005; 410166513; 433605742; 787760699; 735425230; 133875442; 188855539; 27393510; 423707690; 953128397; 679553693; 170347395; 245076842; 642097414; 929593218; 42071058; 35104748; 675891581; 526797784; 951284655; 838784228; 680645442; 485224672; 110193101; 227331633; 858542054; 551775611; 88076041; 944704115; 149320513; 364703160; 502599171; 891967187; 683974911; 479237915; 139935891; 574811542; 474359458; 639071436; 736830265; 133590604; 986430985; 223025412; 985812336; 624067866; 355077770; 377245137; 679344163; 781091359; 230027947; 22300197; 140821423; 675472944; 564070052; 730124423; 150821779; 39963102; 172300096; 611242831; 356836814; 323226171; 490630975; 394582947; 68930618; 797462554; 346961806; 829859808; 22475483; 283991327; 662181099; 511452677; 855770275; 958232050; 224405243; 762800174; 606147673; 200551704; 938967662; 346985600; 153300168; 279764391; 634447378; 68774207; 972406328; 40592430; 232248815; 409238569; 113851853; 615514057; 236357303; 766449082; 916414201; 63090703; 939220890; 527286879; 144094034; 724647889; 495017665; 648191564; 497574785; 267761337; 251819459; 470451219; 447976486; 782682894; 344833827; 108576841; 127088452; 665604434; 295958265; 165210595; 325356401; 430718599; 373473026; 404687892; 603699946; 331526390; 642193994; 647548679; 923958911; 201947430; 999637401; 364671939; 920728022; 364866363; 486186925; 170938904; 399427944; 180529832; 779483062; 596778060; 344499670; 690923583; 497271858; 93319236; 319167027; 424728637; 585924296; 211207559; 384420365; 186533790; 96132367; 415397138; 198127980; 456342037; 977677992; 199568859; 838061427; 98365136; 98782195; 364340070; 594548449; 1529512; 283731492; 307156495; 621641065; 23581712; 607641284; 678188956; 645283439; 115771923; 966354407; 641924970; 332190940; 625028540; 235660333; 540507808; 839241001; 87824699; 981633958; 736532063; 99394345; 545457269; 439977928; 818626907; 882245070; 45173246; 184296627; 223055876; 35868165; 570644225; 629010291; 243148661; 935857249; 588399755; 704807787; 414610262; 361978138; 252757307; 42963698; 694712915; 214565828; 952614694; 635146214; 809099130; 942469426; 982695480; 660087157; 815285801; 333737944; 81685683; 776639768; 939218595; 319864853; 88895232; 235399331; 88664419; 366779592; 503985975; 828720441; 904443082; 57517986; 412889294; 331848505; 624889212; 276543133; 9615342; 177729890; 700954417; 704076570; 803306488; 913664315; 793087822; 892616934; 867721704; 532680584; 265929828; 832413359; 668474079; 929704378; 295608471; 826676033; 835181920; 854399001; 25327441; 33914472; 314236031; 875140461; 226422656; 619759165; 234365392; 332078725; 727633621; 673445898; 213613424; 89544798; 734463096; 321283442; 226325249; 747881366; 3339780; 690155949; 183313009; 388020314; 293947088; 266907420; 898659854; 536732017; 373183931; 417407304; 254023199; 213298873; 545283083; 52212215; 664404240; 125511204; 80290581; 274078222; 519901555; 766670097; 647701189; 802503828; 631512179; 315818593; 691984443; 830329082; 899067600; 542015042; 778308693; 198457144; 376108970; 289213167; 527682033; 722442949; 506891582; 889163052; 923986625; 524261250; 705512823; 798912302; 873222002; 647621742; 197470620; 600576817; 720029311; 744503646; 30514387; 176361078; 593230667; 11890591; 913188881; 127435449; 827642293; 681936623; 70509540; 72536170; 378611668; 748147288; 922037096; 982654552; 731396052; 63395032; 753721296; 736757255; 375421698; 211379539; 143146878; 732145127; 303974915; 437836712; 820394274; 750621525; 217416908; 795186582; 189709038; 219866724; 480105200; 413112017; 743651662; 705282807; 145122632; 286975201; 893722621; 545701082; 518571992; 263547201; 346658753; 371888016; 68518168; 601626551; 744322839; 227987561; 58912383; 178660721; 902376830; 51191471; 440517503; 624126677; 782991576; 201439836; 714823104; 741882755; 808832032; 812444608; 264782750; 944187973; 854043047; 501587157; 603721385; 793870326; 470793706; 149943082; 553352716; 96403710; 851791189; 13906923; 798525012; 942729228; 802825782; 107229472; 485951855; 516128471; 393861141; 397399465; 363846566; 454688309; 639315794; 83829769; 505912711; 472992959; 138983417; 766846734; 161918030; 453647940; 223302967; 693703550; 386187943; 610232959; 936628734; 392570463; 169144501; 846916998; 695639295; 795373451; 217276095; 989379072; 789607985; 191152460; 913685441; 352124966; 543799634; 810593491; 8679394; 78486976; 384616886; 345901117; 607599922; 630879855; 569817192; 328156856; 770689625; 321233893; 796314629; 911345686; 379839302; 825503108; 861476431; 701590885; 100403590; 249268554; 657178765; 953308960; 515181111; 653825577; 691212488; 817307658; 821996660; 425789190; 264682662; 127309839; 42492830; 650272373; 353940087; 716689628; 83446527; 611087093; 952192610; 834350795; 617644925; 37275826; 285808101; 544487511; 505602898; 280339426; 58508911; 728219192; 239077278; 190952376; 564648807; 741232314; 847876752; 940160677; 797912598; 214762465; 324548159; 329592292; 827495836; 623861375; 801652245; 173761351; 20104467; 341993201; 232337787; 90219720; 595179861; 239360431; 191307012; 382351974; 33035099; 911944809; 820247947; 996480038; 464626253; 656972329; 78443055; 752052045; 258267793; 559094408; 239073724; 105590191; 217866452; 956507105; 663922377; 46851689; 538400837; 324701367; 644289761; 736786761; 499615204; 376538623; 711605958; 572335414; 150057687; 677067731; 332975367; 926801169; 616081723; 19920906; 531013925; 34993572; 490436318; 847445552; 266906782; 936024890; 195580391; 842354960; 450460136; 20274533; 196935008; 787076882; 826876637; 535858307; 549196391; 316694226; 806457026; 629855583; 863563625; 914782258; 974337181; 429270802; 527580517; 523984922; 113923869; 811334285; 461177181; 279838070; 111371453; 79325065; 821308376; 335975412; 243614919; 825116895; 498921789; 608259139; 663712586; 260285682; 603137638; 341980141; 384018171; 509691463; 695611009; 113874875; 212904751; 329528120; 69629163; 736770738; 104112326; 878670767; 200481908; 324880961; 678558404; 41705414; 344538260; 811878596; 386608956; 651042838; 68809391; 959914659; 573143699; 824284712; 117104861; 804721453; 68366055; 505713284; 564813240; 864825402; 507917575; 72404696; 114643110; 736371162; 542693521; 775065300; 57471692; 555330998; 699717203; 403007909; 39747400; 464456209; 652633954; 648838526; 27955212; 982143794; 387229126; 167560864; 626502628; 403550914; 218635638; 910443796; 159714175; 474059427; 991798825; 461150043; 527330827; 384317469; 304014388; 531923195; 588547891; 865684766; 525170127; 652469653; 663572806; 417494105; 554646594; 482195551; 54358640; 362798315; 399634207; 923919656; 732987842; 115935917; 781792802; 806244354; 788292135; 451120963; 419331499; 582492068; 101314541; 436812063; 219922194; 911224222; 342336123; 364436942; 493607033; 758820934; 313627861; 657925277; 261732439; 409327934; 941235741; 764469578; 490417435; 842883714; 272655629; 668345270; 23994738; 684580160; 206950606; 564839051; 898243515; 977553981; 470738801; 351139037; 247829949; 242499671; 944468524; 865833616; 364906727; 577440734; 585949211; 198912881; 297976919; 479609938; 79623690; 345088450; 152688310; 6928812; 502042670; 350671845; 255058155; 333735506; 428852390; 174012951; 666373578; 489844732; 990841498; 253261763; 464338389; 551451327; 252396818; 242626363; 192628882; 67435135; 419689041; 840807245; 626923238; 258577165; 174288150; 330548645; 950657713; 645411103; 186120612; 12548360; 494514941; 142115189; 307837993; 5672794; 419375020; 496047231; 23306173; 401131181; 180806754; 10841706; 636878491; 701774697; 940767462; 590542913; 627164450; 851111003; 806757352; 410487523; 889234094; 543491184; 438624596; 151064368; 406430719; 662682323; 772996330; 300028365; 702722761; 964468824; 411238301; 34152881; 229213150; 184969961; 362866047; 575894075; 217117676; 396484574; 712088915; 112099943; 831912231; 84575519; 889709903; 158658384; 901137082; 885898440; 471871195; 234666561; 746125444; 436925692; 799608256; 215948997; 162248527; 803926016; 357660628; 357903927; 91050517; 647777867; 592456305; 504752952; 121202909; 686225442; 59851481; 715855152; 527852437; 197909196; 723955262; 902619717; 10240796; 45195209; 887661510; 586417099; 803771514; 509661368; 23293765; 366184883; 701516360; 661054294; 939369955; 621085820; 42533461; 914796942; 947071001; 219724556; 485391570; 607797679; 355948474; 734984097; 39895987; 89270221; 41963839; 389615516; 890345716; 722032821; 289929855; 104192519; 863277431; 601011809; 666816156; 425776232; 552572868; 603196837; 761691433; 964441909; 530215261; 692613830; 75181782; 801501873; 803781597; 137480281; 430721656; 29164832; 250078954; 869810726; 460735226; 366989677; 700797177; 872564590; 280464315; 796475551; 190340450; 318664915; 611606052; 688279360; 895506157; 768505255; 935260854; 790044583; 379009447; 649436334; 798030340; 432931265; 811723352; 667470689; 706457820; 634329976; 523246816; 697935190; 758925470; 306809461; 66444414; 645609263; 447913746; 536244283; 877976605; 623324286; 506948816; 854872946; 834000679; 543899806; 555073738; 246751817; 787511655; 208642866; 131730358; 531890992; 467685252; 93810624; 77363003; 509253025; 791259303; 394624206; 996746690; 78003241; 799911069; 497833389; 37214648; 962440973; 728374351; 177191466; 6022373; 249413015; 417466720; 368637271; 365602281; 567240438; 742567697; 847592437; 979187930; 428437406; 970511686; 166106526; 908324762; 654161597; 301887420; 803257610; 912367048; 415820808; 345721574; 585118128; 877682611; 664788664; 599523175; 993347196; 993209569; 491088496; 694423663; 448472737; 536665768; 456276033; 848754438; 691604521; 876381226; 159298711; 1392236; 79444164; 251313597; 152095737; 55642184; 221072545; 145939186; 598170474; 477061060; 856020402; 715134874; 459115723; 629165645; 194001774; 527630907; 770186591; 836883786; 866907974; 934349434; 20727810; 473058042; 428586201; 951791314; 134107174; 323557463; 88816619; 551277022; 802548534; 164773722; 89768218; 514704084; 324403849; 833945114; 662782611; 774818841; 616313535; 743316120; 955732435; 329267195; 659738459; 145028402; 24050941; 62387118; 295795031; 106791464; 518711208; 244907206; 192382855; 874967944; 626304545; 394076065; 738304328; 107983559; 301670283; 467292527; 145045456; 912454342; 516736552; 962069434; 726620194; 537457560; 92605700; 258570388; 684316319; 368288455; 885614440; 590887797; 599892554; 919714654; 532090593; 652828379; 595255944; 642708187; 781590068; 183541722; 298892077; 412222122; 925699114; 843119482; 962256275; 321379137; 807527899; 300212293; 418360534; 302653219; 871656850; 224692383; 595716132; 34475580; 142366243; 900581057; 458326226; 491680710; 882410308; 91824052; 604173344; 8243158; 342800527; 15832332; 422699437; 363719339; 855364040; 488142413; 510309158; 147005435; 603117729; 100494043; 565346673; 495770219; 138886980; 133863144; 912561016; 121290531; 630589352; 960968687; 744821247; 772313662; 959848675; 82867073; 976432944; 22958071; 504213538; 60635680; 90032846; 67586123; 101347399; 593217305; 787981693; 595570611; 596553011; 280729940; 216016943; 722222300; 99587131; 994241671; 927294049; 191839561; 916924338; 313989722; 401126964; 360706287; 662557456; 395614500; 715922449; 13683792; 272006607; 46788981; 982362538; 234391132; 672430718; 680872203; 325372883; 671573985; 68142470; 624164526; 990101020; 728517163; 148293796; 959871252; 731802306; 296567609; 737880167; 632145843; 226449080; 114389104; 23444169; 263869011; 40541501; 36875729; 289460743; 761454949; 401394396; 655044459; 102831369; 610405320; 510646248; 700817461; 799868189; 164103077; 106359726; 313285253; 942343836; 843919441; 631765544; 843525590; 271108409; 372082996; 178988939; 264447788; 101713373; 857549554; 575687567; 497065221; 198158773; 977440912; 449533621; 10472630; 666628896; 795156383; 576242523; 42695742; 770202928; 763049156; 285801186; 771145851; 342499390; 817732574; 389688821; 149847848; 70094705; 297193609; 755110323; 949278440; 452660711; 476538738; 610985624; 346287829; 666771185; 30325169; 395638855; 463334879; 641436379; 546288372; 222678400; 966459843; 656006616; 432587971; 107313057; 33598233; 74006833; 830428300; 809671128; 539129559; 241523757; 80900075; 949329782; 172901739; 154444972; 685128679; 375726798; 430739811; 187985898; 742686925; 865421896; 259373377; 838502623; 284877244; 232780387; 902119473; 490596614; 470197491; 372720825; 320926319; 735063149; 96449942; 943281582; 964237513; 569243779; 615071851; 314865438; 654882057; 103306734; 718749349; 627274308; 246437976; 147004156; 978873386; 579422059; 817095532; 389751057; 150957440; 857218084; 191793711; 738442551; 548577788; 808640760; 65381483; 390494313; 409839716; 307097076; 165408469; 969701262; 852626791; 891944604; 991687789; 58915100; 627247615; 732136465; 302150023; 712566397; 463614236; 527952951; 828610458; 404025651; 818474030; 914934132; 824416847; 986451119; 200115021; 65788795; 483231932; 360861091; 735873450; 184919016; 125838113; 717802601; 585046392; 579286789; 313697798; 561915847; 430913594; 297248954; 302865941; 321507762; 915106260; 736680043; 761214008; 888633455; 317127670; 190936174; 692251634; 177827389; 918999021; 220190044; 396117996; 628568199; 26102509; 811530328; 923947717; 55252740; 337419520; 658507034; 378036244; 472052417; 654313257; 406058743; 390867131; 500382591; 462743950; 665671557; 549734307; 79290003; 93693914; 868961708; 709073649; 80337270; 775502165; 627004436; 556640777; 83868075; 883650303; 75657958; 855372773; 968686496; 470643161; 15838115; 789341076; 400641052; 35676652; 583143325; 508108660; 925853850; 516864895; 562537011; 353492917; 772695372; 142927657; 45429278; 45380915; 748304418; 68479614; 248260876; 691503410; 89406788; 647535039; 792620439; 249301599; 650267021; 541524575; 216976940; 807800317; 759057249; 690015472; 552021336; 123912751; 224084687; 941139650; 875177595; 638850000; 410405227; 554011643; 494879351; 573191697; 578791208; 705110949; 847819699; 981601703; 274873117; 720298603; 734189142; 106244833; 776060474; 626983047; 945204613; 751745477; 997150170; 809320498; 226538738; 321458542; 276648172; 574697698; 334109839; 294079551; 181227799; 958053552; 472212119; 407929550; 547877066; 183747013; 475879629; 94617612; 807354696; 882763026; 211275900; 251153000; 915438415; 400942514; 328605606; 222212519; 355541176; 260904719; 281440774; 974502972; 817783723; 195916587; 444584990; 709547448; 872146924; 194181959; 631049771; 14899912; 123647157; 854433845; 723424984; 688810013; 517421940; 208580394; 422609214; 412091115; 886023169; 804043640; 822396152; 542087888; 127977360; 870144285; 922830129; 190043447; 677979576; 750585734; 414489475; 314336584; 621462920; 876822167; 880942582; 364207708; 492976938; 526377216; 363216832; 903376249; 76263958; 581860800; 982265310; 371172748; 599028596; 860373684; 562774468; 192933502; 898259535; 606759995; 685881501; 3304270; 17128575; 214411944; 682426811; 895521289; 622157762; 962164202; 253533197; 668402319; 657285663; 481112295; 860517038; 580393168; 920520959; 534689745; 772032587; 354958887; 824582013; 478505481; 339520553; 809556239; 443720496; 589395538; 955066590; 411197764; 426434677; 293373165; 192393410; 252702486; 321342551; 163599000; 85518746; 769364541; 834326234; 264827941; 602189183; 66422511; 836263847; 557169782; 965768511; 943890145; 138567198; 290280797; 55998339; 176758673; 255990268; 405067889; 485223819; 326257453; 41801771; 300599161; 522937048; 964868733; 374590487; 348642396; 330600259; 187951714; 239643314; 486568268; 727204814; 896103362; 506719830; 454646956; 309343592; 164780752; 500543213; 411930770; 145405078; 361636234; 187007084; 62487178; 917692236; 907148403; 909747942; 849463219; 73857482; 345576566; 487249414; 946054614; 155802869; 156310762; 957263165; 49484130; 524727501; 33013087; 510244451; 954617469; 627963369; 728146927; 624377773; 79157397; 152638049; 341743619; 656712582; 893597881; 516477517; 692572811; 917468953; 920250588; 589748417; 1459643; 379441942; 37252933; 145462292; 850537523; 735230746; 450259308; 761951708; 893359126; 282490095; 68844790; 667017304; 270176650; 142458820; 304210311; 354256325; 47478055; 586368181; 628082731; 186058217; 734446717; 150743162; 840405274; 184298476; 204959115; 576991599; 478395010; 692552546; 737191691; 738757298; 349891731; 498507673; 159269388; 215203440; 262287754; 868412497; 328792006; 714488932; 231218075; 33845727; 948073700; 326188080; 278790909; 815469350; 953540117; 514045769; 235860140; 987998610; 535847292; 186157940; 696076926; 724017363; 121824867; 299806509; 421938928; 291774915; 51841205; 287236072; 572228415; 558164570; 950003344; 879907506; 473493552; 774818248; 845708259; 898794869; 56459255; 796772042; 375337054; 971083401; 423636847; 750800330; 399865749; 327665303; 4057308; 763531927; 558029241; 340062576; 133913325; 199574414; 734184755; 562649442; 144129551; 911597463; 22111520; 85690535; 239939987; 198285546; 401680775; 615417291; 15772515; 377386206; 759462991; 495538757; 743870183; 332244917; 80916598; 7316464; 843126102; 258278425; 10908732; 679838691; 236447324; 538451172; 40272839; 46541250; 549919017; 289254695; 718358200; 702643347; 83461821; 923335595; 38165615; 168705185; 783973190; 99039569; 982305823; 913040739; 700919409; 551888822; 904959024; 464166169; 83558929; 391125636; 969110020; 337226464; 621047524; 651657489; 300195180; 972137042; 266192816; 843558426; 560722978; 991612801; 685097958; 875618415; 679679037; 308691009; 262552480; 860540393; 813784008; 52762035; 640980592; 881614443; 932487147; 244043388; 494279567; 557995408; 689483528; 666241328; 370031497; 229554457; 386956473; 153326136; 572943214; 221139611; 202201457; 871451742; 731872617; 712632919; 37332798; 871399459; 706288238; 364737882; 682673855; 484173961; 549893021; 127130365; 785643772; 866996577; 123091874; 812973037; 550042819; 321785676; 669647155; 863871826; 348654971; 518630139; 285618580; 616583471; 713331193; 276825038; 599387857; 897758426; 754347176; 880233544; 518001800; 576050561; 855178569; 701480061; 95097274; 851528633; 791075357; 704411492; 771832795; 464116037; 184630816; 711143696; 676133120; 638071142; 64227033; 223855760; 222200440; 359317764; 946448122; 271021522; 476408498; 431147530; 411110763; 837304898; 762763683; 875457018; 253349234; 679779727; 95021319; 87047538; 897306997; 289897045; 29247771; 863680675; 813187840; 701133485; 102948951; 152087573; 272646939; 469157771; 193061072; 748320388; 729204526; 372192280; 918089936; 348290013; 5841329; 589221720; 363342557; 492556170; 955046549; 766755730; 119189065; 65925707; 823983681; 279723170; 256188704; 850596249; 949676256; 690558807; 8571939; 69563223; 558637985; 175450762; 620823722; 236799703; 581891535; 24666490; 640207019; 283325270; 376635181; 745356996; 274819358; 988602924; 148426670; 593710906; 4253844; 484426851; 89884046; 882358398; 861796240; 79661506; 974991808; 947216100; 506012485; 436807644; 684178305; 906853429; 290762531; 315715801; 623901066; 301930359; 763820190; 464359479; 200255563; 859121848; 267496949; 57338545; 845509189; 933751956; 34738299; 568696737; 763222085; 982812509; 594430870; 787673875; 961156889; 494196706; 472970221; 914426847; 690571330; 914108021; 292925210; 156385753; 66073144; 105464259; 780480772; 592287881; 690930628; 925420495; 565354784; 298175124; 349854442; 101164164; 899375561; 170157910; 102136019; 834066817; 989836492; 184631096; 833660445; 786795713; 713548051; 641807104; 229436970; 201641921; 560489227; 854446085; 472888205; 970664813; 639920280; 785409829; 787022726; 462865012; 569980048; 275540748; 165970557; 1889237; 622791781; 202623801; 834940307; 310580857; 606943347; 238628170; 444302883; 641240201; 471363401; 658770635; 402794814; 609214127; 255238900; 469254801; 438759034; 578260393; 166715951; 611248244; 355601301; 444040301; 428635391; 279665981; 790131150; 783273484; 470544525; 691546789; 603243096; 285138606; 747440044; 318420356; 761681839; 624056935; 719769107; 658952971; 788782061; 181814573; 291765530; 585776625; 838099622; 900835297; 777669605; 590717020; 702310962; 48622839; 705321197; 821883491; 470804252; 192981831; 110991328; 87318376; 11035542; 80507137; 575813607; 289450600; 606318493; 851005888; 919056892; 66927271; 97633852; 485004287; 249687202; 908360427; 180230041; 269962016; 645424671; 815178330; 532381442; 245038780; 974597428; 578223705; 492597859; 766153947; 995538923; 363527278; 755826725; 647139554; 445861555; 742064401; 45576451; 287981263; 676583068; 60224936; 951626087; 214370574; 911393025; 366365897; 891514259; 590746314; 543768753; 132823666; 689047470; 916268612; 412228698; 173165566; 534395165; 940767503; 388998263; 3311077; 897255656; 370536348; 832064183; 53007332; 311139942; 972431835; 806418483; 356227161; 808760045; 410384782; 772792393; 888565380; 487993003; 518738494; 12543900; 512509125; 848109644; 661441535; 19311007; 513450976; 777226606; 335686202; 897163267; 268198822; 355187107; 633489672; 425695944; 88920662; 873263778; 60081997; 265595702; 922398162; 819771642; 295538480; 268322103; 382290093; 447066923; 796385116; 22509996; 757520500; 194593219; 496081844; 645697965; 849971315; 479363534; 79955001; 545447227; 236456471; 448153505; 974571188; 261972926; 118913323; 274618938; 325415895; 759662046; 962833753; 664638114; 130231034; 83408531; 396955253; 121964459; 375415413; 176709293; 78846037; 393887789; 833554893; 38750607; 263524531; 111467789; 92755662; 924718513; 995316765; 824668497; 440299253; 688168066; 781626671; 54889791; 640600323; 524736289; 829811852; 501192637; 121631957; 473979383; 427405895; 848345648; 559148660; 288250753; 769474111; 979870253; 168692512; 248815449; 642823960; 478841080; 517622890; 598833801; 882863752; 603758796; 69734848; 898723534; 323080384; 911083089; 272374179; 842879823; 689287350; 638809065; 282921243; 246585127; 773971446; 997675743; 962777757; 578769687; 568950323; 770342723; 892549939; 155050579; 947220893; 994003655; 518024991; 137148477; 983625903; 309813507; 745947622; 482986386; 809444763; 289738684; 86120610; 235178057; 219580863; 521663607; 193776216; 248165902; 9777455; 681340188; 599753489; 437977659; 220769375; 917995945; 192874960; 647970962; 21760017; 522617830; 117659063; 356863362; 1537485; 311081766; 5643082; 732970033; 831832659; 357456080; 262615073; 81887119; 213552633; 300555990; 656608097; 30024117; 915730063; 405132249; 144978145; 389168214; 158433451; 157809979; 813028329; 718378620; 257863918; 632145867; 447761027; 69196905; 64254285; 645774933; 909333345; 265991464; 562292561; 752175378; 335757526; 5996023; 447158574; 278298595; 789920372; 292426121; 964652152; 701689144; 859990105; 200836041; 89596709; 682374246; 673878239; 367068047; 265044014; 680988505; 768750393; 785717116; 511672667; 664923158; 616481353; 238197061; 475767569; 265875563; 692191376; 634715795; 2570390; 657129653; 887799140; 360376721; 292086076; 575023302; 571223522; 485523464; 184784202; 855678585; 342374655; 801561844; 819650222; 140468740; 869689580; 396003197; 188082502; 789595271; 593725877; 607463026; 542749857; 375243167; 883235674; 903442563; 221887034; 132872532; 225300691; 836708641; 127345829; 888761853; 401953400; 143753469; 353977350; 734449771; 734486225; 517973893; 742108050; 293536010; 124278545; 31071536; 818315015; 980865758; 166905416; 539073384; 780302059; 247341847; 788176900; 818780650; 9014734; 485211281; 662075747; 446943574; 296298323; 701139013; 384233463; 726307754; 63327783; 162224639; 272659834; 114210948; 176275056; 322225550; 494750750; 435669923; 420248974; 986923079; 807935496; 399245868; 240568485; 489415215; 779556156; 427862330; 715874501; 998890082; 312816648; 404230372; 138879977; 640035370; 658236913; 536133749; 189409930; 985378651; 943408375; 244475569; 342436343; 217071200; 312520183; 921967322; 599949387; 715139783; 479602169; 787520539; 320852034; 582400795; 646764451; 584141842; 272599159; 146246103; 705519308; 908469826; 149776052; 267306117; 892535958; 485679048; 24664527; 667251401; 363245894; 483856980; 118587216; 138497368; 375310717; 770031900; 559257920; 79138722; 18520294; 16236625; 247841769; 810183668; 555624201; 89682385; 543556387; 184227865; 29159080; 631463993; 578841998; 719125332; 718134409; 560105243; 695783366; 495795269; 877322068; 742774246; 136519799; 322297293; 190953648; 642965942; 651148009; 825793291; 848366880; 262203117; 788454627; 848185147; 469585955; 515526063; 849242782; 899876173; 757247669; 518912586; 657080028; 907242368; 626542912; 205780432; 357717717; 343906484; 973891627; 906484860; 675047429; 962312160; 432320801; 484360702; 776761958; 969031601; 23632000; 968420513; 706607924; 554882741; 372447081; 694701826; 873771783; 169534173; 841623676; 460981187; 655401077; 366849104; 431681920; 679935562; 37828438; 208182645; 995530820; 422509247; 100772786; 201215358; 862588899; 44779329; 567671325; 328576529; 740653190; 176051277; 690320401; 288966913; 635154108; 339500686; 270641061; 669593275; 20704746; 207555787; 531607726; 803159973; 745736972; 637261987; 440599680; 54199868; 39427439; 534290375; 548593029; 215936349; 412117230; 578238884; 62270160; 945719965; 360064481; 116054742; 27711553; 492381786; 94087964; 692769097; 856830651; 10079110; 197390042; 570833308; 398103844; 271414016; 876763582; 179067241; 856907644; 299473961; 85168672; 227913635; 182646106; 7953039; 30008040; 23481539; 988007091; 494318636; 418666553; 301209462; 954936837; 852261784; 598763136; 363752446; 879770656; 281885262; 339547946; 524769731; 113533882; 62688088; 944701683; 540569955; 805914594; 174318444; 636478775; 288935996; 846163118; 6933279; 948143655; 798966516; 992546518; 283749336; 293638126; 682628756; 675381425; 734493757; 892734725; 867766886; 648926284; 656234375; 12291511; 43332683; 226275343; 274810104; 940339915; 535725641; 771829090; 494952143; 676321148; 816658558; 414217821; 223925295; 129870265; 163676703; 87841183; 493811269; 219736597; 583384202; 605405151; 122010915; 783240518; 994873462; 321881180; 902070369; 633129504; 29566631; 666010803; 249878860; 11703525; 634872961; 814565278; 322674240; 3768196; 972212568; 721173578; 200544544; 482460777; 518450026; 435331927; 605349521; 770413209; 823119462; 161788846; 7964471; 100637231; 970084812; 783421997; 201097047; 266752500; 30207067; 202412961; 728531581; 728895609; 614426019; 398499830; 100953717; 992215407; 43445998; 851684325; 30958392; 432309097; 902032955; 472530145; 14599818; 162022319; 116446857; 926123886; 285615768; 951329543; 237593170; 541738879; 941894822; 468388868; 900937349; 897808791; 634620723; 19733648; 365834960; 383353347; 12077503; 285630379; 410400835; 518977870; 728374378; 499105059; 687241336; 187509732; 91777862; 66436514; 581040299; 544511686; 848330775; 506948508; 852295134; 352117921; 480048443; 711425558; 637081445; 886315932; 715137752; 737870362; 848108942; 456443354; 275901370; 779773386; 910145766; 182551234; 772530601; 823633058; 175198429; 697646565; 384318624; 698533227; 774534675; 574986922; 287286845; 740509082; 502078495; 774719793; 191152899; 459082349; 608549553; 630243867; 62822387; 673101955; 206264350; 821934609; 339317585; 607765385; 731603762; 815542012; 32158127; 208254331; 545489321; 878167018; 373401899; 705359126; 911210908; 751099254; 611170386; 180678505; 481032847; 561489024; 437540447; 714743416; 623470341; 867032431; 426103035; 187394170; 972770300; 767087515; 370523297; 7674861; 944474792; 541986061; 771598434; 6405700; 269233814; 763686761; 793758062; 148403583; 484421578; 376346017; 143978985; 292651974; 743217116; 430172240; 440608717; 119850863; 710330150; 849584841; 756419165; 395218534; 313735374; 512449608; 670639704; 916004494; 787945132; 225528918; 164386336; 23553749; 565626363; 314337475; 580280503; 400323809; 240870136; 229370031; 570539938; 465347228; 803211533; 418703449; 366085891; 496577607; 490830370; 297997277; 46899797; 271291375; 248755674; 146620732; 175431417; 633134805; 873301314; 16602139; 293661599; 868370986; 970316555; 187997377; 14275234; 2613735; 148424093; 791606209; 305710533; 219634156; 414055225; 388621152; 322172629; 725317450; 14720368; 361220672; 437032596; 17088960; 55031101; 297321695; 247089060; 537445195; 95681841; 712900488; 853380491; 246115213; 151639446; 507220727; 748643990; 930648537; 683730996; 306229334; 81132001; 224289122; 221413952; 621881907; 404886702; 96250993; 147214863; 517846881; 557469333; 705789570; 983977196; 906031793; 615414840; 208665310; 665994138; 166290313; 770492812; 587575497; 856096171; 264023389; 620179413; 207522876; 907709904; 375005922; 104128842; 82975774; 124811182; 570750565; 260358335; 439367887; 899060034; 462396692; 477197115; 325902845; 795333818; 624307681; 809459085; 834097495; 768979319; 487622626; 902648985; 907877770; 608843222; 384953349; 300421778; 614268213; 563653071; 599946935; 352328657; 69706539; 112815841; 954522432; 171267047; 778253987; 678850347; 711712870; 963490133; 668004367; 565825914; 908233023; 161933692; 780093430; 410403042; 28676842; 443060720; 15654405; 797981880; 657989737; 264500421; 227477741; 278194421; 268619871; 391240962; 554883853; 398259327; 955276782; 77023455; 807043527; 348045056; 530579812; 956206885; 277944499; 459009114; 729758297; 54720464; 562765471; 887005134; 995119959; 635904012; 766614885; 74550887; 775927403; 355919579; 194565851; 793881314; 483814251; 821939531; 299968251; 96397305; 68367844; 36778963; 593055904; 575361304; 606073908; 216646301; 453644587; 712408878; 392318206; 50981118; 177052714; 657434125; 960675992; 847481327; 954944360; 346653587; 505365047; 732879667; 918375961; 740854295; 292598772; 428908485; 874597924; 626967042; 745127237; 923196868; 279939851; 908018437; 891117962; 9457006; 279962571; 121617314; 537158128; 746000627; 206195021; 297568541; 201952039; 964233700; 100030331; 983303194; 686878277; 384705376; 892102859; 631990587; 550767535; 536243148; 765761453; 542057054; 511529530; 861252225; 867880081; 690241597; 176630702; 121533156; 91551525; 466095630; 782198730; 491182019; 201842032; 729885951; 654740909; 635006939; 78937086; 319666468; 284013814; 189447754; 873284036; 645647297; 953162432; 769582145; 507482857; 397839417; 655285864; 44571021; 134977231; 329870814; 895435441; 943625697; 907812037; 243048152; 945751497; 806184324; 844674374; 600500313; 546949394; 337333299; 443243254; 13259500; 694782541; 654273724; 742602848; 581240864; 860995157; 33393512; 584606166; 371294819; 81472055; 271353026; 864024293; 791658761; 670830023; 745238340; 95603171; 139791326; 176245360; 308197955; 168479805; 33573126; 282387854; 5773279; 401902226; 536576121; 91296643; 70488132; 711630875; 505703933; 895318099; 861664820; 353371275; 973753725; 230530512; 631599588; 546183701; 679194142; 465575779; 200112264; 97997718; 920333062; 534207337; 733306045; 477572757; 185524323; 281403524; 728503414; 842742708; 118889571; 820422996; 859682059; 29060121; 442559572; 888773115; 909469310; 479629637; 740414019; 479315594; 128990933; 111596984; 79051459; 114805631; 213196446; 937716199; 754661403; 837441596; 383411396; 553541389; 95366387; 800489383; 56360624; 213546130; 364546796; 903795617; 854198358; 730577364; 615718556; 634878447; 911799848; 421772836; 288963920; 315600360; 236630537; 248321485; 857815513; 782330384; 225812404; 616463730; 666464852; 650983840; 56379411; 275302893; 547891617; 957230532; 404519336; 454329224; 859367103; 853098622; 219230306; 117117027; 368051407; 112091008; 672701203; 605479038; 670687296; 578141485; 45683294; 202405911; 834524469; 993575878; 536962551; 717730959; 543926600; 781563949; 163824685; 157458705; 846706589; 789086580; 550250943; 537380764; 581454505; 758331964; 688797485; 11543057; 51162869; 916678590; 490409915; 19612841; 456182322; 745003424; 35953862; 276883104; 257423427; 955836491; 819276005; 904024572; 378186331; 506952712; 65106136; 145015496; 536134437; 346157928; 524731574; 689623730; 954998003; 546593694; 79039056; 409754782; 213421330; 613314748; 25933167; 835472967; 1646365; 783481497; 598975102; 561393480; 378091033; 671047478; 457264909; 70212475; 622152907; 12732708; 346656640; 446946300; 806619391; 468225671; 542168892; 538696662; 300526318; 895280124; 916902533; 537842911; 983333846; 136622672; 24933862; 802469667; 69905931; 421700350; 835816807; 526502451; 269528634; 908138868; 105372984; 304469792; 597262227; 886492997; 469536119; 451209998; 343057163; 105093077; 557735336; 442058029; 897693743; 689215100; 963313567; 483462176; 518278936; 800410207; 13228855; 290540737; 146220506; 53905759; 818981368; 819539353; 948737548; 83332120; 464410520; 924051903; 767837073; 652796828; 302944747; 530953290; 542009593; 724996057; 890889249; 376452260; 822441448; 62236054; 443564856; 762021694; 888128620; 750785556; 615046021; 850651124; 684427967; 763045363; 409767145; 573716577; 16242486; 910907536; 682514732; 771662550; 382551027; 562185876; 561099510; 154473060; 956227622; 310881752; 24885738; 122724740; 705865887; 579444701; 350632134; 812647317; 109046085; 740326830; 641476421; 597608474; 572733277; 477175718; 49176658; 509912961; 64381912; 959912721; 488347562; 386208528; 231515089; 40376279; 241145272; 87997934; 932544449; 723485947; 484388170; 550696959; 374739313; 298557956; 856479869; 919892510; 610309496; 154978481; 445316117; 875339274; 374028593; 513139270; 85166735; 327758896; 472996630; 822842317; 365646201; 823264141; 883709398; 369599735; 735372989; 739143376; 807625713; 183512181; 271826617; 882449681; 503156378; 168640499; 165591767; 77824710; 295158483; 527180708; 805858786; 694526654; 592001157; 883072702; 390573122; 884634676; 340847402; 439862584; 254121992; 685836198; 446591464; 340154785; 98959457; 454035207; 102613333; 552120046; 198003336; 814577658; 365436522; 640562003; 117249241; 993818233; 870412405; 2282143; 147254648; 594791355; 328548056; 89111233; 920260078; 362907827; 265226889; 644929606; 390969639; 288767299; 915217856; 430961380; 945276360; 595497295; 942638564; 123248722; 739589557; 450516390; 866479818; 339626728; 558993589; 363608529; 839366024; 473939996; 293538212; 512822186; 656228361; 51898543; 66845216; 930625070; 723807565; 626250469; 33788579; 590071493; 239769018; 496623753; 588900196; 758019906; 628553545; 169943210; 854083597; 702508216; 649825579; 47710310; 420623734; 865222646; 34755128; 693550148; 239003571; 918254884; 210003819; 530595180; 678775264; 639460732; 940944330; 630570197; 733087774; 428101833; 71844828; 312722250; 665573923; 177173264; 481026137; 135562158; 116550547; 200927417; 997961521; 242026757; 951270566; 193464133; 797201026; 580980008; 946350988; 879659449; 63196024; 527046539; 990712408; 716520871; 891622739; 99827641; 320422; 816255759; 480469749; 628515100; 789663457; 140538673; 864967151; 736756204; 144233709; 239102183; 420918027; 195562331; 844239525; 67998405; 534747550; 243026788; 844902190; 706778400; 918729605; 512888025; 417920306; 362290991; 331739204; 981648114; 246335728; 147773591; 877180640; 327754867; 899266030; 639872255; 660366740; 75054143; 229171949; 17214651; 820663589; 306544354; 764802269; 438109478; 128396429; 223909258; 515199998; 504346286; 368932477; 235067399; 995766686; 640434261; 812307191; 148754014; 100822101; 499777226; 133598491; 335154260; 764540345; 574574946; 934351844; 441112801; 94074073; 698248824; 428913539; 739127693; 225142797; 662006326; 138881162; 396135311; 694608632; 346332638; 280483294; 394878560; 531886777; 241360672; 707094479; 397068974; 212655443; 988113671; 744961217; 871190317; 679211348; 373968552; 36437364; 725192369; 208073080; 951447821; 596434345; 41851886; 215450484; 7529701; 977243234; 211070765; 392620846; 158683689; 235353800; 204069917; 744834659; 986008113; 965070638; 949972036; 375428641; 34800993; 227721263; 696172084; 687277739; 117695665; 562933603; 688172945; 226035889; 674509272; 212740824; 413651329; 638506580; 916752809; 343785640; 107684402; 538791351; 967986475; 32029322; 57964298; 520258549; 573049828; 33769934; 72359330; 610883651; 758730345; 880239839; 651639765; 498452124; 545198207; 515965087; 29044934; 888505474; 370002530; 663103197; 456079650; 10114849; 1230956; 691740715; 16371824; 128566645; 372741257; 840108845; 623196700; 935501956; 399540057; 108190420; 47506429; 918824986; 905941637; 723385873; 279224471; 763552502; 307288794; 165732605; 525152639; 122121504; 350449014; 267668893; 913316992; 985893468; 74460985; 128069743; 639707735; 306044134; 117051413; 399139638; 721213237; 775858993; 924155671; 565387108; 174666874; 802716534; 196179737; 949203619; 236448417; 633551621; 659021787; 966179447; 675559866; 145145376; 765979016; 672404352; 871845773; 508803703; 633093970; 188144917; 554513289; 809026801; 586683293; 554576994; 768495736; 164096027; 576167186; 96539800; 134106467; 207202361; 458923633; 315490763; 156729882; 277297948; 782044030; 398475314; 983622482; 808479778; 756395371; 581429421; 477390208; 895770603; 603064840; 761213791; 208097644; 521456340; 674183376; 376963439; 26879528; 872688136; 906960320; 935336940; 93954497; 683597379; 139202780; 376388069; 68348299; 331323606; 493373994; 532553878; 280935067; 180508704; 893046296; 864220488; 418579698; 323254110; 565203037; 749159191; 925441298; 36351469; 859500533; 499027018; 930626787; 548222194; 863636918; 698743279; 252848134; 741857389; 107139244; 797742196; 962890625; 712467654; 771971417; 361267511; 418667603; 33151542; 661958709; 987168804; 199716945; 822814867; 847654879; 472516781; 370134415; 341672960; 643113914; 763391559; 827670926; 693402939; 342102894; 190682981; 830696690; 67772051; 89586108; 929978994; 64224599; 686485618; 123665810; 366908934; 401933522; 134750897; 942160784; 636383959; 522110042; 33282928; 168925512; 550111026; 525756927; 616179447; 771691906; 551466930; 372571206; 124792243; 697946290; 962915433; 752389788; 627754902; 481878115; 799653211; 341180752; 226964223; 511451791; 906604785; 657575207; 989915472; 598018166; 432854237; 59090613; 583209615; 438108042; 921428921; 348232111; 48787627; 604412040; 967226912; 810281039; 544434213; 903290324; 287509705; 783986962; 789976497; 441181864; 659781267; 878361662; 820093335; 808801763; 426539298; 435184059; 12226377; 676676217; 849140987; 724963631; 496209489; 8325207; 466404251; 574380929; 752754067; 312224012; 285903765; 174841468; 746056271; 539635064; 212800852; 786335636; 347397682; 387785792; 658226722; 245734428; 278687424; 889165245; 944451964; 75934319; 266079533; 240891135; 85416194; 277796425; 366997447; 508581532; 930329759; 49331561; 149647163; 39373778; 141609852; 144560473; 560215924; 237829388; 173820854; 795519705; 388009395; 250622078; 888390110; 551509238; 109554083; 723709286; 907051275; 294195647; 397397743; 564504330; 193830488; 196425724; 991545401; 91749100; 599249205; 717915375; 845104619; 622991295; 51074084; 101475535; 670207001; 12448108; 681269774; 151619883; 923053854; 639432028; 470095265; 574019403; 377633861; 186462382; 646110058; 437944495; 177604296; 797866069; 379669388; 526101627; 742336150; 63092175; 155469945; 19174041; 173015852; 568849173; 103486721; 574891816; 250045036; 546850377; 727806215; 583013326; 549999877; 454689926; 860098791; 318790173; 942747679; 881932356; 514445243; 169371246; 350929779; 939560757; 261853115; 865950642; 787133091; 537537210; 982852945; 581752928; 100262439; 508808777; 734314104; 526309812; 912050137; 218770320; 676610204; 662480723; 850983427; 889476384; 615169657; 346829421; 10175472; 887861029; 961658978; 258016791; 734028276; 359430923; 335493480; 523736938; 967757691; 258964030; 48962224; 282491898; 137444961; 67422077; 155764079; 405947510; 160957298; 986248126; 139166970; 612301449; 475282361; 693674473; 639696443; 89847926; 657534925; 283689333; 452011972; 447978195; 224726879; 327522442; 196268760; 50705101; 458071437; 125636823; 474740824; 836779619; 275146272; 262097736; 397330671; 438349278; 854116894; 754885020; 20972617; 906381922; 556988836; 69246340; 750931437; 230803960; 874582026; 452961059; 514841468; 478651030; 502749599; 331392841; 676179085; 955783494; 263347970; 523891783; 702796169; 394927073; 318939704; 341205353; 752761330; 240564481; 731874628; 900448853; 773469961; 3084504; 169731473; 814502764; 272511570; 498598738; 220918974; 919129517; 949987460; 974341707; 193801190; 232042183; 669504788; 970336096; 770217174; 230112784; 462331927; 32610244; 968808852; 471086245; 473923514; 485368507; 17362174; 762758088; 809504638; 901079008; 406197455; 878415548; 853008590; 130112796; 322316748; 301061661; 478813290; 613847385; 206025968; 146928245; 992133837; 405576087; 401351861; 376252801; 730339055; 863088594; 197048727; 516420441; 525435387; 359543704; 23831317; 510063841; 167318910; 151799833; 623836293; 456559158; 295036904; 521029492; 276407420; 816170515; 72692762; 499681414; 439487526; 363737936; 706893350; 243725415; 369291299; 389251100; 774452866; 855155600; 460149714; 933832611; 210186237; 507839328; 132509535; 146364591; 326259758; 279487861; 588784007; 870238555; 6871473; 376439119; 19333574; 164675758; 276015700; 671065884; 595317232; 917440768; 498753185; 874598108; 473458834; 678621186; 898421600; 340202317; 557378795; 293201942; 118907454; 954343315; 391506043; 336805137; 332222605; 563485190; 223571042; 495930910; 899911996; 733296626; 167927514; 553795602; 994546198; 773691315; 928041898; 39688888; 850636319; 722022188; 812938367; 152730768; 529003251; 277670665; 271145036; 237231940; 313876342; 346536357; 860978673; 988042129; 512656679; 435696133; 28601086; 271873979; 896683795; 278083274; 748844812; 799457661; 349216713; 80371511; 11450357; 147283588; 249722693; 234482109; 187520236; 535315470; 77686736; 273104279; 187635600; 869885835; 382883006; 652471052; 348241787; 649403534; 855287122; 696701927; 881420789; 610741191; 383456178; 450525592; 945872729; 76495630; 147041429; 419275208; 915871800; 677534717; 90324698; 912862622; 942382519; 965402926; 709557982; 635939533; 522989948; 710529737; 36719634; 326490283; 394753549; 572235170; 918536872; 142590965; 656075536; 642331747; 275856025; 923155034; 926358143; 128126498; 528267812; 728159353; 703969841; 319648609; 530257436; 512325754; 950070584; 182131103; 288846625; 132804988; 396085702; 198175598; 318849815; 295036951; 186966742; 467653437; 924076961; 211148945; 780934710; 351351432; 240881848; 173384085; 722565007; 984634779; 750387064; 599494951; 432531563; 585068781; 28871339; 241046897; 327900897; 12247691; 23813751; 917131240; 491323108; 33763780; 378049595; 561652757; 743273597; 203357598; 10093880; 797780147; 37919061; 197182606; 889549114; 322152281; 355868054; 869251941; 830999567; 237269681; 949676043; 204672167; 501001272; 564194428; 954105130; 716230425; 437943494; 807878394; 681918306; 372059981; 26635778; 871140949; 682119215; 655111198; 896766262; 223017060; 483851617; 882729622; 449438850; 209078136; 223698833; 797351119; 943450085; 660300108; 195929723; 337650360; 103431817; 650185574; 873215570; 901561; 180269663; 101265262; 463726481; 922501997; 473603907; 680552591; 877641564; 684965996; 377458468; 440471720; 984476606; 955870604; 756802941; 340368249; 223963841; 651054392; 994210546; 554179954; 234983402; 617744133; 494160397; 335217882; 328731621; 335620825; 900541336; 754304869; 460084825; 782846447; 781181348; 913354721; 414339241; 577868722; 868970432; 286227852; 133221445; 3559841; 844327829; 502321556; 960255340; 359349618; 544595545; 560778758; 237177696; 994712134; 495930003; 791210102; 975091647; 231953671; 883540346; 366773729; 706251568; 591739732; 200637803; 153067217; 723491663; 494064032; 820802705; 258359209; 200358169; 338687431; 307469646; 464877405; 177910444; 575749366; 640580689; 190991751; 14683228; 314100133; 410455204; 415553343; 964613586; 634237752; 605057370; 428739706; 360552801; 760556575; 686102542; 992861121; 602074738; 5709910; 735003101; 203403810; 738494376; 411796598; 788271953; 953628577; 893073130; 200801575; 123543805; 372835656; 929385688; 221971916; 404220073; 118082508; 8969653; 899950307; 132608856; 139354167; 363469787; 396066056; 143654194; 649231384; 892145741; 746529597; 123452388; 902121851; 822471220; 156284957; 218599996; 753911234; 4395684; 350863143; 853626483; 37531701; 893316450; 6980520; 69772638; 760636498; 662302623; 320620668; 377782217; 124567135; 869257916; 166856231; 658229899; 327132662; 105110269; 403647970; 817527109; 850175818; 352705952; 910509593; 761567403; 200960635; 876112537; 808609736; 293706415; 317955241; 276588039; 925570755; 345777668; 385005827; 809353637; 170178613; 496768710; 181985233; 315318387; 440208469; 936308569; 57583115; 20618925; 286209645; 890862016; 651966032; 341042140; 964664140; 29616439; 958918109; 49485705; 640544536; 91699968; 662805271; 71048922; 408185415; 891584267; 424421700; 929399251; 707902318; 594316014; 360480411; 496363200; 488455501; 970541246; 387018072; 729502464; 200183080; 878948850; 916680114; 662996141; 208307530; 364748362; 935812413; 133160846; 940563662; 310855802; 632492126; 154716647; 33596857; 744202470; 256999061; 756872550; 971246277; 93976455; 221329065; 290989946; 579204201; 497279546; 945477337; 638652052; 93619016; 481315889; 671437185; 345593739; 632810701; 288317494; 394016544; 2684089; 187665070; 56229132; 918267759; 208544814; 965508393; 72475716; 285800850; 900058927; 964734527; 405866963; 452204718; 990015662; 325669650; 867781006; 998926494; 517865061; 439758271; 975695557; 775306986; 641909567; 696757002; 11378786; 579776699; 406190883; 563015184; 459421516; 187157818; 710135030; 773739178; 419278729; 890374827; 623327864; 190341956; 407258148; 159527729; 430923261; 842629533; 897506555; 236258058; 563992629; 435967022; 350512722; 272051307; 628193606; 228504053; 398608995; 416866242; 804525809; 499084891; 7908875; 484248874; 101759945; 853848738; 834253099; 309142804; 976047413; 730724304; 356373280; 125999636; 586586877; 63220682; 865422487; 654824852; 520026057; 813143195; 55971195; 395310788; 62513204; 887830365; 81640209; 308275328; 504641661; 366937017; 856349932; 218356630; 80571094; 648800083; 786893486; 447259175; 724360928; 20443411; 510430168; 262237899; 246786391; 221418350; 254478843; 337249062; 94706717; 457085804; 550661231; 478762714; 646173108; 812818603; 471547338; 95145840; 667381656; 662568098; 757106818; 466167276; 549403309; 639847164; 865332068; 880902900; 211667403; 328460179; 276865579; 111515760; 970431794; 199415213; 305524276; 10796812; 53962766; 315568277; 746510794; 67093862; 484016721; 430784087; 338900103; 377096180; 597096624; 69128589; 716902117; 362214180; 192933894; 519667534; 776377767; 359033150; 777054348; 800962659; 564315218; 235767424; 988895548; 874198576; 971175702; 272577654; 257171005; 503145301; 943417365; 97341019; 194850163; 37697402; 336156213; 99905577; 31586699; 97873377; 95425991; 365334477; 873112258; 986914418; 629984151; 950857386; 264107472; 444392057; 713862392; 199445772; 773386823; 686471340; 653485585; 358709576; 30329780; 631204920; 831415355; 180830404; 652169807; 895778407; 744735601; 530951869; 625253984; 197941560; 332041981; 388597197; 394380769; 348151309; 46126096; 970088141; 247767842; 394953774; 583319765; 799398853; 296042244; 60817222; 153988770; 99882215; 757020869; 690923729; 434444578; 638614352; 48968908; 148503327; 346453101; 59545608; 198217339; 2111613; 179134867; 231415702; 923236313; 780225101; 690367714; 360675066; 161451115; 647611033; 292714863; 120984596; 205840350; 851816937; 823694137; 199304189; 329828839; 743636565; 697885987; 109257996; 864899676; 563718601; 408318781; 15702437; 813814795; 253925202; 258730713; 272658650; 948800413; 855983021; 879202152; 516215667; 657615301; 600292149; 748230114; 974846888; 244370897; 222245287; 491619152; 802565880; 799899533; 652678405; 403880734; 666626244; 844271458; 196779942; 217535716; 195928799; 448183342; 435143720; 193784454; 952215119; 228281294; 239634377; 509417572; 697232623; 327642850; 398711545; 374612687; 649791496; 126968874; 898760200; 103174691; 199428996; 833225965; 488762612; 600991116; 66984308; 711872644; 614342625; 317891904; 567857834; 643634353; 168358534; 95423274; 675599450; 76203872; 169470366; 692617011; 818729485; 84863162; 975497351; 136876859; 951817379; 666347568; 379341062; 394269910; 896046145; 286649062; 514749592; 221200329; 534413225; 541475039; 376383915; 677267436; 352685758; 27114154; 125255734; 234012043; 657053715; 857726298; 141430769; 547429248; 394230879; 453095759; 883148772; 394464412; 783143215; 536369570; 499010265; 351384809; 143851716; 961922902; 164564944; 380225974; 13927014; 130863054; 940236666; 452460023; 656426353; 538726256; 823944972; 975334874; 482120758; 448529509; 285654538; 77368476; 354113728; 565344598; 980218064; 949305017; 799248860; 275977262; 357038655; 275594232; 844870009; 70316529; 700544279; 649656981; 30566796; 218945512; 591642401; 384779112; 986340585; 904317397; 449199680; 326764768; 28295960; 18687880; 395588489; 204603301; 565837237; 47044178; 815977777; 470538900; 62865242; 11285158; 599010878; 178176676; 988500331; 112138860; 428100508; 999263666; 250135920; 859132051; 740924632; 478357802; 632275507; 94100885; 701802098; 157125951; 121865638; 291677535; 774005337; 517016321; 407086779; 956872590; 653170921; 946551418; 769247390; 7601513; 678737394; 146095366; 516041045; 156981291; 284869639; 772072193; 617988144; 17977168; 756386060; 715855822; 680448852; 404424520; 453690261; 536075808; 494121306; 771593660; 932670678; 561731510; 410414541; 243111190; 380345716; 481316186; 306280998; 955613745; 539597092; 729236395; 685118116; 999900263; 304049140; 749364982; 819775452; 95637006; 97588146; 973155547; 909821488; 583805501; 383554102; 3476532; 997429234; 395656307; 412444801; 773379846; 869023532; 974126247; 851489904; 220784315; 578502085; 680252276; 453433623; 302648926; 683791853; 992061640; 831902357; 68478182; 128638502; 416682263; 908872477; 26317165; 228583607; 721094204; 549518889; 496153249; 998337047; 731508363; 593096933; 16826479; 996455880; 326040482; 685807611; 66124801; 804459434; 182462857; 67557405; 681034984; 640393212; 696684415; 821359477; 505046006; 58775578; 307770096; 752499660; 820497891; 72564925; 331580702; 626682928; 102943046; 687914428; 771976779; 14381387; 700526973; 298382503; 665739561; 951371644; 584147618; 519514425; 397287854; 150504079; 429017327; 550833497; 16257117; 852781514; 370152649; 136780506; 463550098; 287339788; 168504688; 128284781; 290363756; 258433917; 243086372; 921499580; 965114965; 762952507; 616287461; 369850859; 186683564; 105096028; 107987617; 840252679; 316672029; 238846883; 218205842; 811785991; 249157020; 997859095; 549163546; 835591008; 404995179; 566513065; 441760534; 136630135; 203332319; 565543864; 886636509; 960738521; 293742507; 765785150; 307411496; 686990785; 426668685; 537450880; 958364493; 869356216; 199613330; 818278301; 80912993; 813099894; 751400263; 883043472; 980328226; 676141026; 252680776; 363464083; 603978277; 922352863; 378444823; 167754199; 612550973; 573125742; 885630493; 158916773; 832998220; 811370455; 492715233; 964276412; 414167042; 410262095; 742764815; 316656246; 185277190; 497965903; 198747333; 929057251; 128595177; 747216745; 75185247; 17991255; 456757236; 325938600; 759115741; 866490843; 523493457; 644121724; 353402828; 803599932; 432016032; 87650965; 750177719; 596344606; 515348319; 576037649; 36575015; 891076206; 443090227; 311555463; 563097239; 201201862; 19915210; 197126047; 876132967; 375722834; 674518728; 36833123; 128343321; 610073745; 613475254; 473159679; 595363563; 566974359; 280563017; 209320496; 958684408; 661509945; 627710215; 107850182; 959637394; 631934638; 140135108; 918716482; 815223540; 778524397; 162265314; 739211967; 708381537; 64978508; 231130882; 353187023; 552712332; 421768691; 753927055; 928393480; 144051213; 101436411; 923874028; 679387602; 731106721; 59036250; 651701385; 75956938; 122331053; 577210916; 730294310; 479869706; 614499100; 223697546; 750990127; 442605518; 603406270; 509093818; 659443266; 127912665; 288370849; 298776220; 22917408; 624557624; 167355019; 826817509; 152585720; 531743955; 352120846; 900930421; 641222739; 562936849; 110456648; 128892316; 178619682; 590549527; 463955469; 425339725; 138545705; 553990656; 941450093; 225341252; 908703385; 894680134; 202479269; 718378828; 968657244; 916962207; 360808500; 581004815; 164290529; 388924378; 797835151; 207489061; 179067132; 113049599; 175929109; 769452790; 715049140; 581362025; 467537986; 841338858; 475102365; 666987836; 846685501; 957633472; 429837032; 868914894; 898954929; 140329368; 854770883; 359328377; 329197511; 77190726; 386540761; 61747241; 386414653; 543056521; 215071618; 710372319; 660823707; 924048963; 526217166; 145668579; 845269113; 198643144; 36313107; 794661827; 72002673; 78784862; 49406796; 443067454; 90545449; 213390135; 688036866; 149023615; 775892849; 954196635; 633220424; 840164875; 285791832; 343947462; 432975411; 125535048; 187766324; 366827312; 981829916; 686088914; 816691836; 847877530; 541565109; 443255529; 145854383; 770376840; 955040752; 833200146; 388880112; 796592472; 635361003; 169086291; 199230933; 411517043; 902813132; 381925417; 753631470; 95065849; 376552251; 566234891; 757207489; 108282609; 197220604; 156944614; 525144477; 911499830; 758282013; 636369688; 41793616; 846177916; 476676339; 773860245; 111370900; 525186000; 597412929; 430069519; 448210023; 819714405; 249920831; 929468050; 7883370; 793097820; 465914513; 236725096; 728709146; 351144633; 187348293; 485269670; 103065161; 859441895; 503670112; 478588610; 902441825; 664088782; 457493671; 566173392; 72771833; 24950574; 236677637; 746403132; 89514671; 799814537; 346026221; 294357516; 243378069; 834909301; 931105012; 181589080; 964914276; 809461643; 126398601; 246257896; 475948446; 268042789; 384578621; 231750172; 980459362; 534667724; 54995671; 662642039; 674408372; 981677841; 281974352; 187477744; 688072457; 388904634; 10615180; 445577085; 257093576; 100146795; 307698350; 487241862; 150814935; 878486034; 672361623; 471363005; 63196505; 462636986; 838603787; 890509439; 541243138; 5418093; 447277640; 152056240; 750074071; 748798102; 848676451; 175220187; 623565273; 731562734; 594011748; 14613092; 802667770; 870902794; 663011518; 693075356; 635019790; 949915511; 948166876; 162383430; 534165084; 905657694; 372920162; 313752881; 884460071; 110891399; 48183338; 513145401; 61344807; 281610686; 231024092; 361121443; 97502696; 444101001; 656696163; 961336942; 894102596; 937606624; 848909847; 108262245; 518683417; 773278519; 803338819; 368560249; 917151059; 86913188; 277009462; 366394324; 792664371; 832225137; 931927773; 89959328; 629643131; 244339385; 762104955; 230438783; 853802266; 813612646; 801346459; 334773905; 500291012; 800020000; 713689156; 47516179; 154680905; 51796706; 865612821; 324322253; 857175006; 352201490; 792172719; 109942428; 645786811; 985718823; 762296307; 300829949; 433821620; 261873828; 467878378; 576831372; 3741803; 607988906; 389142562; 38006933; 576854256; 442012465; 710555532; 819021591; 492765852; 776975923; 739131577; 412128575; 963773552; 823234329; 240820233; 987093623; 426974220; 124908151; 205666419; 563124912; 864146282; 128770356; 733853593; 977286840; 61770222; 660254401; 290807349; 366733884; 912848128; 143448859; 950462745; 904578284; 858275927; 558105820; 226139507; 369737749; 776330210; 753858873; 977524726; 858320892; 825085437; 884821992; 74881360; 314623715; 533698463; 229249292; 925118387; 400298977; 688097450; 336982129; 904128892; 904543589; 194717749; 891410237; 75647801; 26176917; 748224154; 520158404; 620223105; 140669681; 698896058; 741666875; 598802022; 401794095; 872434527; 827666; 123047174; 346113366; 886280828; 97219402; 694793891; 177967118; 258129911; 159091689; 712238728; 918400855; 514117056; 694326131; 570614232; 167509519; 94646414; 402631068; 123092153; 487963842; 45666383; 617391014; 655785946; 21894444; 798074558; 793891328; 872082901; 987293260; 806520426; 910267068; 387725368; 91500798; 84987168; 133465092; 106667126; 98971270; 83016183; 565696517; 495400084; 473846713; 707286794; 901857477; 296104704; 115512704; 125632882; 947885136; 318393543; 717387350; 188752311; 16597375; 999707709; 991035931; 205952423; 809328496; 227945042; 950622104; 228506651; 915939097; 154813956; 723848140; 398002546; 810343884; 567214624; 966148508; 44424230; 41320551; 396853125; 405655315; 539941311; 713713608; 550144480; 313539162; 530358945; 634007306; 310902549; 513946029; 996734270; 18258783; 695161736; 229532516; 500659459; 808735771; 218672801; 986524218; 358642710; 962462017; 635699077; 159504878; 996734648; 542465076; 963258008; 638407540; 664091282; 373427303; 881860103; 975996688; 885806540; 722329594; 324854828; 255461627; 422357885; 882940023; 309003263; 585059504; 492566623; 861837440; 21306595; 803861330; 71836216; 455276657; 31497591; 856406370; 811665913; 269219192; 629021615; 986171277; 21199970; 158084493; 205787422; 359940157; 855477157; 469671847; 144922723; 765989004; 174884902; 668351476; 986489329; 938469469; 586459529; 550569470; 246442132; 725474290; 160311824; 730878590; 94269599; 445647542; 886494621; 923496734; 703034493; 843729283; 609622772; 815075813; 671582917; 241266722; 361206893; 37230979; 741992429; 498941236; 875543224; 341469609; 797445646; 820351805; 18648391; 523610190; 942577664; 272468680; 213515734; 293767787; 569633839; 183014214; 947353868; 148636272; 338673779; 347952784; 992494763; 514534244; 631915974; 508029088; 956900411; 347339628; 751333800; 218969697; 4524734; 188425992; 264244673; 626838124; 362937276; 437431772; 708107779; 465494802; 547359416; 330587972; 48177900; 530873603; 755550985; 367179621; 62704524; 656226839; 368362571; 154304899; 511787239; 527829580; 411322490; 42329848; 537307188; 595913015; 615460255; 985720108; 309084845; 573056073; 105596506; 343282402; 529653803; 320273626; 279663090; 848107195; 239100461; 938638683; 731225176; 678266555; 428131676; 105346141; 143519612; 670331253; 74892075; 286019741; 951655653; 456592110; 335688181; 949844091; 8269580; 110725314; 97931729; 788076237; 608957166; 694668387; 190499033; 609260102; 691473652; 351690438; 687835638; 901928667; 974487478; 416040660; 5427384; 645534912; 98000664; 952111488; 593653677; 153504530; 998654572; 832183438; 714550604; 350169353; 887891959; 531966002; 960104929; 619203691; 369786335; 341328640; 208017715; 416596122; 880233714; 155402055; 752941938; 149996609; 736810490; 762744924; 310357908; 833752017; 319087892; 188508175; 899907862; 496906921; 805983152; 31741161; 505838153; 861629764; 503421391; 511160822; 584928733; 874620009; 312497073; 915290533; 257291992; 185848566; 347026771; 661184333; 265134961; 584981491; 485099171; 528433337; 94491781; 250490934; 298653820; 857120154; 907277466; 341399480; 129194815; 293203131; 431960142; 966237773; 301396890; 856338688; 116492543; 12430031; 22808747; 310428991; 202838390; 666279295; 751817037; 448319007; 501845705; 489733300; 551562710; 185820249; 914105738; 39851981; 379589722; 56875165; 981233063; 314754824; 508014413; 745212386; 657375062; 419665; 508783753; 988323960; 471414494; 966849060; 460693588; 444040385; 562092294; 243531410; 710041749; 451268355; 467058681; 289853258; 535277494; 900470353; 973501120; 69098664; 8127649; 484916501; 101088655; 418568020; 584713224; 593273335; 614459196; 680618615; 534553909; 688781836; 299951847; 691390075; 723263808; 154167238; 864512787; 743354110; 567750116; 262345348; 126661557; 418351999; 28529531; 684260482; 183420305; 23856276; 833303558; 906335712; 70731824; 393820115; 483820421; 770334925; 540329791; 376966774; 338582704; 58773395; 954479833; 319299361; 131772965; 93015980; 741941683; 904592935; 274601848; 798842046; 430763329; 28441783; 96211403; 918834219; 808692629; 645897861; 920654590; 680000669; 958987024; 208899228; 675266579; 931789662; 217781253; 511629689; 909438733; 778010357; 281543585; 996126666; 937979199; 689912384; 47225492; 997687159; 185946204; 609847778; 228493713; 657728575; 302849916; 362859208; 225895567; 940383938; 654732754; 470498391; 986998546; 896576201; 681727949; 175595719; 117436496; 441285832; 225245142; 159994574; 680070740; 34495583; 397666979; 295569857; 474820580; 732945277; 844343121; 218338911; 336813783; 276339140; 632344425; 88288988; 993871965; 381200673; 923625459; 156349142; 957999232; 350991453; 133307887; 484122927; 152498388; 914608996; 474952065; 431699899; 407539239; 375152953; 333557375; 137764137; 857072022; 602727984; 150099467; 779189692; 685675802; 447007829; 577659643; 545478125; 681770104; 247543368; 103482410; 475101309; 844694689; 252664481; 736396207; 723180470; 986912227; 89091391; 700870217; 14805349; 303812349; 944914112; 604766683; 816221230; 581408510; 374436471; 691054992; 527059170; 48758421; 327390156; 760447124; 874371438; 168991479; 936056771; 612435976; 176964718; 211348682; 258628623; 982809811; 345026788; 802414958; 184223985; 377660735; 417996664; 749264138; 212889682; 283907468; 781482414; 882893240; 956084162; 646397275; 881385824; 221670946; 686290619; 219332938; 616126005; 251975416; 457306012; 506102857; 242885264; 284214614; 627769064; 230693506; 21319166; 684930291; 976953267; 492797496; 793551474; 358127325; 103791251; 287222229; 651488472; 947349571; 253053425; 119161217; 543917246; 584297716; 144498180; 193430150; 902826262; 642330345; 711448756; 609612005; 688074427; 374390183; 855110380; 93535335; 70612888; 501142405; 532151590; 367703865; 246165953; 856179679; 294109842; 471455853; 822550416; 394906595; 743543765; 38106170; 162675666; 784039368; 650670158; 406001896; 154578659; 582684240; 704624951; 112883046; 997288652; 279812013; 825891822; 809747393; 242971212; 978281970; 162283308; 737714988; 674497177; 310472730; 896676095; 7014847; 84288054; 242712482; 289575458; 809263598; 856858864; 529960910; 49800761; 430849902; 338619728; 412162393; 674279558; 228829704; 493598293; 72408916; 618719366; 500864299; 651135284; 422713954; 842431228; 484659457; 797099814; 276056919; 121083174; 26261956; 310824857; 625839443; 322904738; 246308821; 745061655; 70333486; 86747571; 949597652; 802571351; 521347897; 513292585; 823793860; 595588217; 601404706; 763544760; 75517740; 35171890; 442417424; 550190239; 88139565; 508089107; 135246017; 8669901; 154816022; 965208461; 843930617; 38240959; 976655499; 107604343; 363576848; 370450938; 46296990; 263039039; 873866788; 649841250; 303172124; 933283070; 401538634; 728577577; 370581325; 438223102; 585688888; 882584477; 219307550; 595553855; 156729914; 386563509; 812112954; 294769598; 222055607; 908649422; 531667197; 380928491; 413871009; 828003922; 685588394; 277949631; 741088474; 700026515; 379288058; 62753302; 291661447; 487637545; 500450573; 808861577; 950787047; 167466493; 454939006; 529040611; 36437670; 237877932; 597303436; 253171749; 271506145; 9462921; 99214672; 533281904; 991514583; 455006025; 375286368; 557187405; 76740385; 431599489; 526337206; 244060653; 904162986; 310593933; 869812043; 583712192; 942814157; 763344151; 771083384; 920495054; 934546350; 447530953; 876483509; 813661041; 4322520; 45295225; 186298891; 682021284; 179949076; 118305553; 363009517; 159856008; 167351084; 756518514; 951064217; 897559130; 95406662; 801960729; 994421723; 240705608; 115273383; 746856118; 248240600; 839038610; 931846789; 253231287; 128720813; 263250487; 544343094; 315256787; 570496601; 730063806; 227803308; 182068972; 419708845; 901868692; 493705064; 739836789; 375243407; 148658385; 68639694; 304712096; 17281405; 519374683; 890805010; 35849691; 567544666; 78821061; 52994419; 115766810; 993050807; 51351414; 599945846; 341297247; 345535360; 418544574; 895369467; 308666287; 383319598; 794627223; 875970425; 651247049; 18595899; 474247629; 892656054; 40761243; 529697181; 325772547; 80325121; 18409740; 240171036; 766037219; 772740007; 364868837; 182965165; 384302698; 561388080; 265511311; 898161321; 246291103; 754354636; 379973430; 329613305; 818589453; 236720955; 23553091; 9932253; 378252552; 254912861; 579450974; 780684963; 907539454; 501097386; 845921484; 532139572; 170628203; 714796676; 705109182; 281893189; 548687121; 461660068; 65737470; 377239209; 980536221; 618531872; 695127763; 691766223; 884060013; 255549143; 406203411; 249753022; 40920662; 855103417; 18953347; 200818061; 847457867; 958835881; 754560685; 936657253; 616015628; 526060227; 915387399; 239983539; 318330396; 373679982; 9444841; 460737962; 779512252; 485142341; 255348988; 732680329; 30973579; 551367238; 533322903; 110482007; 350598013; 626922855; 484885412; 412361243; 367080323; 314044747; 952309294; 467865531; 514165196; 772207120; 955467035; 276276402; 872408959; 721317036; 804319148; 454722900; 674706632; 668470409; 526353728; 827215660; 954324353; 703228518; 221117986; 461162999; 926663717; 706946012; 464108493; 578531316; 428472899; 242422497; 315155060; 928812189; 640640276; 47645752; 978579306; 419832680; 99929831; 824138784; 690279631; 234513328; 249380918; 519360121; 657310192; 532907584; 536914837; 778734322; 760762060; 481241166; 811321578; 185611578; 554963751; 513017647; 786776222; 333400141; 767642860; 934303279; 570232287; 408538582; 145216419; 486247977; 330840061; 569989828; 424057; 692401837; 159877397; 562959494; 270120103; 587437844; 440659102; 205863936; 118740550; 710761476; 957217951; 531377337; 681242760; 985913128; 888584122; 931988877; 566039769; 807380073; 64366178; 83248670; 156862502; 493045996; 298161406; 806340857; 46848173; 861646606; 178129798; 741790981; 114395896; 754880599; 842698824; 409820963; 87907167; 610057743; 135801220; 333665406; 33473000; 631451773; 752932483; 790736056; 757349968; 652166184; 146817114; 158321695; 598066579; 196701356; 982264735; 599202081; 909898156; 813594639; 775235249; 34841629; 424259706; 960353604; 760953256; 242449360; 741085064; 158680777; 842737124; 403283210; 126505414; 122506227; 76093783; 559832666; 865171127; 72605369; 786799391; 162364900; 199360419; 659513050; 342036383; 173925043; 36196354; 651461436; 701522084; 852487301; 297603991; 183477447; 938205146; 72168195; 177416866; 551844881; 139171404; 669801849; 655742386; 201229147; 406276652; 791976016; 520428621; 160607335; 163773414; 362314275; 208623764; 715113825; 874858116; 145702456; 862941546; 517438344; 926624109; 281439624; 434708480; 85739815; 983307157; 896190340; 45538313; 1112283; 950417477; 399621420; 43017426; 318124950; 473264489; 294139005; 71955413; 721961085; 807882748; 804101990; 778615669; 737868279; 962721449; 915666144; 637163029; 348939732; 626537220; 185217384; 526371273; 243982703; 428722948; 621680292; 157006153; 388187046; 748100406; 289201400; 445979358; 849864270; 542913999; 719550391; 274936038; 987972446; 120241828; 360547065; 677699961; 284434244; 154679809; 278159965; 910877490; 483419828; 423110961; 963586421; 470228642; 321591509; 208365460; 441155137; 917845819; 862802388; 536636759; 7551770; 33951591; 308995971; 583693854; 446791978; 251257935; 202245619; 887805673; 975942625; 435554413; 719521468; 242628865; 778151157; 122435315; 442096814; 251712495; 9530670; 80415506; 353140795; 257723090; 593831007; 704597499; 56261553; 940260192; 927729137; 16366877; 461846148; 317039188; 244313787; 667996239; 562378934; 231415353; 818822583; 583153471; 149684859; 810348054; 824825037; 44359382; 491355565; 470575784; 227565090; 229355790; 961912974; 983862211; 738749786; 38627710; 404353964; 352192861; 409204281; 844056339; 897316985; 268188697; 269423565; 193463230; 323422523; 296754900; 357941336; 675414827; 128426050; 226698094; 299356455; 669140252; 274377839; 74070800; 458498010; 153108571; 432900129; 730400920; 159087248; 238215822; 234803160; 35033238; 905989403; 974459499; 621098963; 926127705; 214507535; 771929957; 948186250; 283336522; 252122627; 320234647; 71608032; 133946123; 443917029; 33769953; 968093437; 215210889; 159255697; 814967151; 184130555; 220011713; 536171265; 328411621; 616356417; 56667039; 583897930; 717435641; 95740772; 808460829; 88171114; 685347574; 514506689; 988092848; 479986810; 40536411; 849668630; 939343183; 895169473; 532158639; 355038138; 466417320; 106557820; 942660427; 458454605; 209798628; 726455887; 355860083; 121802461; 60192827; 703491165; 655844672; 188194921; 305620615; 646465031; 740582378; 914455503; 24824306; 52469972; 142000487; 305845048; 534649247; 829911126; 101051375; 921899676; 410876562; 818114745; 735180172; 876696325; 187728751; 104805607; 843756101; 164481807; 929522104; 914883040; 517628466; 414437627; 374101556; 205065143; 822114862; 73106046; 789590032; 930071565; 948515562; 764742223; 445590247; 881254618; 405741805; 673496269; 912001339; 934004146; 767933137; 327828000; 434731625; 823479643; 688660420; 738084020; 774633477; 164325947; 246433467; 333603668; 936232837; 876267833; 798595808; 936968425; 902061235; 954873129; 597732305; 806409226; 94671672; 837211208; 728209283; 955334309; 920178977; 744558705; 534014270; 998130972; 435147928; 193930914; 322153093; 740942865; 705922779; 381777014; 950670937; 744583549; 251579496; 549364646; 317598139; 71417875; 856287515; 643939251; 280563986; 151384423; 823878938; 178042031; 614105112; 185815204; 30889561; 214602558; 703479549; 827119949; 462598351; 264362965; 18710098; 311756894; 887293002; 850997785; 956368221; 624194679; 115383106; 987794536; 956596708; 81360378; 584582246; 403541567; 534419263; 558113207; 126549395; 859073546; 576185303; 648116925; 562317695; 975981229; 901737647; 235125303; 779675974; 785625036; 135729012; 529464219; 186307351; 342264233; 847775556; 775832855; 83637432; 459198402; 603625459; 258971535; 630761552; 970187734; 527321746; 365494020; 733918007; 308258117; 734009071; 778429431; 12014057; 186514062; 725583125; 394943884; 217867877; 474452676; 263469773; 250529960; 292674429; 289687249; 679738115; 150613461; 368625358; 33003442; 735574277; 492849305; 454162183; 48136844; 4371965; 544373150; 716003200; 592434294; 63183668; 782378661; 725414139; 567652120; 232115047; 740148084; 403487557; 619676888; 730615864; 939285587; 197530959; 587042003; 838262736; 151800086; 14289903; 642463302; 463530836; 950221869; 145570441; 996360113; 328677931; 172397903; 928826428; 91587137; 297979301; 277607278; 753521859; 342383631; 938626557; 588628886; 101916003; 298733952; 68282356; 884058173; 485817497; 367986843; 739959333; 277126169; 888787363; 174333752; 34925415; 974236736; 76794443; 918920470; 709897863; 304182886; 68483033; 630101073; 809812377; 940734685; 860414016; 77694641; 378625376; 355881721; 265605966; 64749486; 337004580; 524362235; 625564337; 164346675; 515106828; 803993118; 197934412; 54995419; 683022256; 206880437; 835041626; 454029682; 506949697; 598457262; 976086854; 921621835; 96179571; 813874872; 577365678; 431277249; 685715191; 744997087; 350098437; 172845013; 47544411; 317611190; 5974481; 552147395; 11037920; 132029516; 466933954; 530725215; 488935504; 261884161; 704168525; 60335007; 617654229; 732349363; 568456682; 432175192; 995705108; 564072966; 212025999; 604679939; 384760633; 997688772; 148434460; 293091947; 593524792; 143536251; 239241407; 152661494; 614020038; 856863374; 829881544; 736535867; 783899201; 955855237; 702207271; 655825049; 520753353; 926574090; 280176440; 531859350; 286086230; 654475584; 108925227; 792545370; 637727042; 317626178; 156502094; 714038015; 65342031; 66841191; 273500717; 576685875; 720596377; 477820895; 829323791; 603374008; 280208250; 465470224; 148589809; 108101495; 458151974; 519594273; 395878909; 118099045; 403587185; 204743178; 486927114; 763652130; 885711955; 519770509; 560208862; 351411642; 197465968; 157133609; 774875748; 933544766; 560407189; 801458710; 567058611; 675270159; 383847808; 956854241; 259521614; 406870158; 240032454; 901915509; 186855231; 742415207; 242274657; 959096046; 163319765; 358314433; 666326910; 513017411; 902996236; 118670838; 868541127; 718845814; 746672526; 403102022; 953462348; 839495960; 484887845; 306432870; 33458487; 946875292; 767426018; 651187853; 343150103; 592775930; 668539598; 262499423; 675594229; 821618088; 718521791; 643885619; 979494966; 384834948; 37280488; 517518897; 678364595; 696510042; 567204766; 414636007; 95971199; 640314474; 163909760; 75157691; 819647921; 898139358; 166219609; 622435208; 745280484; 317724165; 940799410; 347193677; 970358612; 769580086; 236303693; 224150731; 655036487; 44546009; 906787027; 451671130; 59892617; 48158270; 641682973; 241697565; 230772827; 809411568; 344115059; 954647591; 712101651; 551684118; 484885139; 764602580; 273009365; 333154511; 895316888; 180479542; 907642959; 399382357; 14264731; 522972253; 323163690; 92836881; 112272943; 657092203; 37078900; 979732006; 772893034; 435270512; 305727027; 669889646; 244180559; 339480992; 458488757; 706890040; 378271219; 802857428; 373504048; 131667616; 248811784; 776539383; 155707458; 369297467; 102353910; 12623269; 93128455; 89277859; 719668570; 913208813; 715763139; 426726923; 93486747; 48746567; 420487773; 765083915; 224119101; 283081311; 429332490; 809151562; 281898991; 880144185; 924612960; 952121065; 74726899; 829716652; 778789659; 793964093; 171254422; 774102855; 577393938; 682956436; 799027767; 603598892; 177573240; 758988736; 521325569; 54389; 849558279; 197449240; 420979185; 165887442; 849243037; 237527000; 859656082; 910089065; 863794942; 896759802; 760187456; 654011007; 993779456; 598059163; 26507790; 644795228; 667628621; 311549812; 816461782; 352403635; 710193047; 497685921; 574177560; 597396727; 105352830; 416185177; 795305062; 532046064; 16386591; 308970338; 661315607; 869855683; 22679204; 783243325; 665726836; 531705740; 736616353; 703975601; 317780795; 577479503; 784640010; 820417412; 996619129; 882199668; 251582170; 562087017; 453168166; 721519090; 723145880; 108237235; 304425717; 191395458; 640004573; 279147704; 466600315; 521032995; 398900302; 713554274; 455031274; 776855083; 678663518; 290694425; 114628984; 849134681; 336675328; 223460308; 49041376; 197460514; 878894743; 332404458; 339203584; 525211902; 763597666; 875054302; 959423203; 65934989; 523206660; 141845340; 867678832; 498673377; 725942255; 836515788; 115916062; 382131722; 644446532; 632876276; 203766625; 962935389; 962220236; 966688176; 593527404; 390819871; 108088800; 496743056; 750822144; 221279839; 894481869; 35249478; 494028126; 553646521; 725808068; 920354045; 260775837; 40238087; 762364230; 823626928; 695093754; 257111848; 754302072; 903092103; 278847282; 261492149; 706305034; 64384447; 415599890; 489964780; 385578820; 502077636; 544454439; 188489711; 658064644; 925508908; 706734840; 702066896; 887652087; 759567181; 817073872; 333890654; 480372521; 560184335; 241038563; 505828954; 665410274; 65529703; 161240881; 266653379; 372967977; 875431530; 595388306; 377651150; 447866565; 739281355; 633080886; 342804302; 986351030; 942688445; 127442542; 400166688; 585304084; 680599574; 486762938; 391667817; 321583307; 483352859; 571439884; 584241766; 649268287; 429395153; 51794678; 542265211; 945413832; 904902134; 281462172; 484890554; 38395377; 364748628; 561334742; 408200372; 889195374; 709098769; 294450139; 358975487; 275056697; 971891006; 353310462; 124671601; 112814546; 456140527; 104303308; 425739669; 147135047; 477139169; 593925044; 242194032; 983539952; 486946373; 356899443; 769752231; 976414479; 910771061; 632830691; 473491463; 269780976; 976289778; 200893426; 683282992; 672589064; 223950925; 11640087; 492382120; 148314825; 607531069; 350657654; 153432165; 267094113; 562344199; 885440473; 276166685; 126421445; 261580745; 666655002; 591541935; 684107303; 643257950; 945082773; 933104692; 933371791; 720614531; 882262297; 206407461; 104484630; 979786002; 919310367; 511896064; 11748098; 81936213; 605635070; 747186390; 364945334; 469524071; 864482894; 315495222; 176562020; 930093507; 161325039; 206217924; 377675417; 470109905; 818798706; 104336754; 638882454; 656493156; 667900349; 25687976; 201224361; 79418487; 836143931; 508498048; 146246699; 584391717; 460967377; 124469255; 427630465; 816269711; 186593358; 246566863; 559486303; 76786236; 166829702; 946884055; 696079233; 34696455; 52132422; 70039888; 773753381; 49172643; 604762053; 253220718; 397475039; 827744120; 455108587; 855366273; 605804893; 916330276; 142935781; 952232776; 560329555; 150035019; 293113109; 886287915; 449949540; 925839963; 574000328; 632815240; 306829756; 489688347; 452002413; 743736095; 627621371; 195036209; 217037922; 499005168; 139305178; 357104653; 183192303; 371641002; 628039937; 295047460; 571351545; 990523662; 919858907; 964294919; 206288094; 66730432; 122647978; 500170464; 624977153; 282736544; 664983934; 286502504; 590334478; 278516021; 888109985; 96098053; 304400121; 136102395; 610488707; 453688400; 251444462; 566704393; 908359008; 506946819; 2257787; 700900168; 711989335; 719425519; 7931397; 459513159; 638369910; 241114997; 262075203; 885677533; 950965070; 329746411; 385962925; 954944053; 151182322; 384229648; 152818565; 57180014; 319773718; 954271419; 591295161; 564157843; 594541013; 554206642; 259994354; 911430988; 493183618; 782573227; 945209374; 477351983; 704177193; 250665392; 10559713; 306067112; 396035650; 701249776; 464281307; 149125797; 383507771; 863010023; 573291608; 786823945; 507371182; 622780976; 596507826; 950845201; 227578766; 219624222; 623862138; 742875465; 715080795; 325694419; 586663229; 873275077; 384253511; 51157628; 996224726; 156218192; 229264136; 927319871; 657320965; 947939591; 490983977; 75750410; 304226475; 447947763; 922115514; 205533897; 598818174; 387486209; 371532163; 10124250; 390433225; 387338278; 720179459; 15836137; 130445295; 730876362; 65982530; 84435624; 54590680; 193018195; 460313454; 106319035; 625228784; 964584018; 541630423; 613455411; 141847256; 218261746; 661431768; 660772375; 862777623; 399315836; 189780167; 548942527; 226970113; 171399455; 966947634; 91324846; 122473943; 781250239; 989269353; 218815265; 96070738; 936728380; 314779960; 223138827; 307584021; 637614595; 981865017; 331794996; 678018954; 295641257; 670632465; 738610102; 174574169; 689102608; 838296460; 813592969; 118159801; 872793884; 282987461; 319291009; 21502469; 575329341; 656790991; 560046448; 865771890; 389123451; 422414767; 908643669; 23465659; 732729752; 578628561; 187328349; 93293274; 20053715; 574948704; 516088591; 793043384; 174481858; 18138981; 411228430; 524286646; 126504775; 583971725; 905342870; 377521892; 731749259; 679715554; 563491876; 239516606; 286725474; 615856637; 535912757; 714708979; 247655396; 212612476; 567867789; 985710546; 112606043; 836339500; 997514108; 266323259; 74230628; 446751451; 388982212; 346822128; 770660671; 982483230; 139853014; 632674196; 60650318; 367871422; 879497744; 379374174; 382546892; 594819486; 435228617; 51537503; 439396286; 57256020; 89008227; 843515744; 318363193; 474492435; 131896424; 912131855; 747749147; 945906737; 118656015; 989575573; 997179946; 180468931; 955970975; 903056864; 722842822; 498700250; 214365046; 834690300; 971494045; 496538688; 364733654; 530372604; 776485011; 134644576; 533615789; 114758393; 999528264; 155735946; 213956323; 474869444; 379296547; 65529981; 830178955; 59923825; 91997235; 265115601; 881758341; 69423903; 229762867; 757860486; 600216247; 213650636; 400131606; 512941130; 805837567; 81718552; 880623625; 274694697; 282920001; 655538855; 71265667; 845777843; 892854262; 624819346; 477302298; 230694951; 969350493; 827270904; 276205153; 802411083; 991085412; 456646734; 324982879; 456189714; 317206809; 466288847; 400268751; 212253577; 343050869; 400932195; 705398329; 976319441; 791264660; 168262714; 192946904; 109616695; 632719563; 200706110; 99138534; 406998799; 171441699; 765191009; 486225529; 407462874; 217980801; 711128178; 503245453; 469165098; 144272784; 996487543; 729822420; 667486770; 148512858; 789622617; 455835192; 657137393; 734991280; 185701017; 705941069; 187830970; 180360398; 598354745; 451064261; 700783119; 361092623; 972895709; 997965812; 341682934; 367973170; 905859374; 243297516; 68690510; 944472193; 822783796; 53010150; 835431925; 486253801; 258733706; 713775306; 777991129; 238075331; 524759581; 302340492; 249336486; 893120949; 403329136; 546164352; 732347992; 647596174; 592691310; 682648666; 342978898; 389156178; 607327435; 964077807; 926942930; 299637281; 817641302; 451076456; 895881308; 552120364; 28886126; 978340406; 359030012; 981661011; 989898029; 972726182; 669074279; 154717489; 247358209; 1567095; 251198378; 670223341; 574941481; 587502321; 886343299; 91921573; 481174315; 470266789; 663662311; 968070692; 827371440; 696292628; 568309077; 75518081; 642404272; 436796959; 295805696; 92972978; 56714605; 660230133; 179324666; 996220499; 326722997; 350211631; 534500170; 110616770; 912320728; 160411527; 607991298; 24008878; 526905479; 778446400; 257996331; 408182380; 774175664; 129523174; 376770415; 340672401; 712849537; 725536276; 121066388; 423463461; 200964968; 260361605; 142261876; 377293696; 890954226; 339059984; 677080094; 726193229; 562734158; 736296318; 217662854; 852106637; 294273590; 629621607; 336352812; 836221174; 49353368; 928330660; 307674657; 342224512; 210979586; 639758196; 660725273; 363905666; 343532459; 532315034; 51468143; 947329737; 759470262; 122220562; 684312995; 425586645; 818749186; 318425101; 151887771; 82597482; 481367594; 180100183; 984139992; 476048124; 465774624; 311756521; 558460356; 571615523; 958471807; 920825316; 316367361; 870491944; 404793783; 134382417; 511229688; 558259997; 104014142; 290706140; 683649089; 68881791; 506410612; 475965870; 821249181; 490171788; 157720730; 188382793; 232289062; 941557039; 346983142; 188022483; 387241926; 305204029; 720996758; 792412612; 983709300; 213242014; 94889974; 163994387; 945325905; 642133418; 540175008; 303387835; 559224204; 268953632; 509234275; 270120043; 221635381; 438847358; 678932527; 838126012; 243506258; 43794464; 776269579; 266166422; 693811795; 378978879; 172645472; 169408809; 762929332; 771094798; 770866182; 986875297; 48933129; 855145245; 192563917; 852071237; 449620950; 550674318; 29758676; 986586796; 247717821; 5004583; 18086875; 835016681; 758011422; 513892748; 813296557; 671217022; 509817786; 382662034; 494828704; 721623705; 557036560; 715238622; 804173106; 532884614; 433303867; 37247159; 260098694; 720822637; 4392390; 405191129; 888177745; 381609400; 890698274; 152653467; 354137624; 850007133; 315993039; 754312586; 123516728; 415902041; 317092309; 123751014; 931638019; 973027623; 35425412; 421975578; 339647515; 333060999; 921437701; 454370103; 514224288; 620277896; 614708320; 264099489; 74559083; 58403566; 278336398; 805984663; 878337100; 222064315; 898014792; 71873259; 486926150; 394120279; 646943052; 822638107; 608911308; 321259759; 585105111; 108912146; 863250184; 34423217; 663775007; 880247622; 576577422; 71725923; 654879997; 444425178; 916336627; 523429723; 807323311; 317693028; 438821251; 236113337; 595507065; 538543853; 951227371; 909323957; 732788597; 249394477; 665420894; 555338614; 811380444; 668757089; 739278856; 274659300; 928878152; 844793511; 924048993; 591031272; 601890462; 336450193; 172469526; 809872767; 414479515; 116984280; 536484107; 412777791; 63443203; 143720746; 657918773; 434733980; 173582554; 833727106; 170311413; 423568308; 353902282; 368627321; 887295564; 168747502; 27597089; 949621007; 114308930; 364341486; 267931581; 238332638; 301369045; 210848559; 7204561; 426336978; 900702606; 463895372; 874456767; 1808154; 92128493; 153907722; 414643146; 993886985; 336218089; 622622149; 574944274; 476831135; 225553314; 636064631; 901478671; 932441965; 148513322; 276693944; 695842581; 331181188; 82804097; 846359493; 359842833; 964803664; 302289167; 463125434; 695428621; 475675462; 856901458; 268107925; 533634498; 496919658; 68756071; 607987817; 404532247; 428803354; 340891206; 597541204; 973460477; 435707904; 606207778; 62354152; 700574856; 994984486; 91119732; 337579548; 853811862; 194664538; 800822703; 837873409; 418191555; 308524054; 805641382; 649971975; 56058547; 994712455; 459967619; 408162655; 292282372; 524406554; 194093632; 138796626; 698005554; 54701274; 225626011; 805665144; 643020417; 996616831; 711271331; 833694280; 532682775; 820254764; 764309148; 734160205; 76739998; 144180889; 17061684; 552608786; 973876721; 691855726; 285838342; 210278856; 881594848; 808420601; 390147594; 318434390; 549425437; 786521963; 387332901; 617804340; 90556746; 16934989; 328635464; 288087360; 395497637; 115291885; 79644554; 177180205; 824063133; 776348546; 142966529; 57266687; 565862316; 98388696; 877453169; 316748887; 853832365; 562253547; 787985848; 988333849; 38611611; 719457005; 313440781; 246830379; 90410612; 867751382; 471449881; 197129739; 750390218; 573880508; 141955116; 468044047; 408756299; 939862562; 71042185; 982229035; 195632441; 647978488; 367100677; 565759614; 12149647; 972360395; 489315973; 460562189; 205338945; 236080501; 991768978; 388835129; 533452914; 175421574; 322620195; 670192688; 887466050; 675881634; 964272413; 139769490; 877619271; 918030149; 775752121; 727606156; 680489212; 334526212; 773386569; 163194271; 198453696; 831207914; 238036346; 458986615; 530758581; 40051236; 83802839; 759692055; 605274772; 779922898; 14816567; 239526214; 939153265; 123386377; 405302514; 48450935; 844585211; 496707034; 982354970; 645656689; 727163077; 957368776; 184273411; 855663945; 73759488; 972262008; 56399106; 666744847; 551528024; 773203407; 645536635; 976305586; 787466797; 198329086; 366458506; 912369721; 648748175; 810162237; 20770936; 857362559; 563333405; 635838840; 731464859; 127798218; 988776058; 278764253; 164853061; 794792429; 934410560; 858112786; 106344815; 12944883; 96970870; 844053229; 540290924; 654049225; 782655379; 68491279; 387132817; 678604063; 611069337; 419226644; 989075591; 900735416; 998007687; 213847245; 402137097; 482779016; 366724404; 422207436; 97362978; 805150462; 418630771; 422002970; 242366780; 213393403; 632461599; 811679276; 485947882; 163030813; 708161842; 404702953; 137359656; 538905387; 505013529; 556529353; 564792178; 163191280; 637630282; 104817617; 340622339; 807825892; 454025716; 572386899; 55533747; 15135584; 233438761; 702365210; 585062790; 408183380; 429712654; 501034318; 714456212; 37818011; 668438498; 729839940; 458483728; 676450485; 370197555; 779711623; 873381189; 249647304; 882525905; 87404187; 363591103; 547492629; 869718678; 230480690; 84370016; 889494105; 588548273; 335867460; 950675514; 186509953; 782419800; 830070978; 645422701; 381870221; 486413809; 241520057; 196715836; 946472728; 132343659; 808283780; 461310013; 58423391; 672398716; 228677875; 874841154; 222926594; 204812213; 470191151; 822482699; 466938122; 386662605; 719403737; 10019658; 811593303; 319290272; 175884145; 342302352; 497154088; 746825338; 545416993; 313202223; 495119654; 109031387; 715115255; 771770331; 700564287; 374454631; 216957814; 883318291; 137409098; 302176011; 262200195; 700602625; 177619610; 434798980; 829807714; 651703459; 680415371; 945931808; 444679827; 245568533; 737310817; 96798350; 198423492; 297448676; 785013481; 423594203; 460398744; 169220257; 232670425; 212057835; 640331314; 71155197; 829977434; 146082212; 663540970; 41530322; 965092379; 871364842; 954677707; 86025994; 184454184; 483913926; 61217277; 120802877; 323790721; 746861262; 538386074; 802896098; 50477979; 859908790; 452493309; 432006792; 183813844; 717833918; 937032458; 492071352; 638524265; 162567983; 518015488; 992163021; 476110775; 182320197; 198041722; 467858964; 307665964; 224214954; 479314979; 714378843; 189926771; 356355999; 939210931; 436985088; 988689696; 798467438; 140424887; 723285233; 57430619; 443918776; 413259592; 850802215; 401109379; 401966101; 210746460; 744051858; 468908025; 909130898; 269361972; 524330934; 239392636; 222601765; 594274990; 978154143; 463937512; 902748928; 568345797; 986269911; 759551437; 862872179; 921014787; 391001153; 244295444; 60054154; 57536832; 761477879; 999950259; 861366959; 975177410; 530573948; 903617857; 166680933; 82458450; 415247299; 566883257; 165801; 584193133; 610343579; 322956872; 183953895; 866578174; 966239445; 294854283; 431928608; 130814367; 581324267; 630346170; 157311480; 674185636; 536948984; 233675564; 850191416; 887907459; 598702181; 333865741; 145950979; 327227660; 154980713; 750401422; 285814142; 281660377; 240736940; 516058103; 368535165; 287268639; 207662910; 957106969; 363864838; 32743033; 422766766; 907095953; 722295275; 317800741; 415315369; 951050076; 446422553; 316338188; 530843702; 937367661; 306940406; 13605024; 859731505; 79517406; 160262395; 38966296; 248378390; 977379237; 661750454; 62270266; 826663391; 746922682; 715720637; 428163407; 676925386; 349496208; 514822916; 871328685; 579445949; 351352009; 62870808; 935849362; 577271074; 726479865; 875948936; 429930801; 900077986; 687584396; 237184088; 899405602; 553126069; 289344494; 82372007; 672401865; 52499822; 458191831; 631281497; 533631641; 60903350; 280805548; 291629434; 330719837; 291666842; 685611336; 47720339; 215148617; 539476427; 62866834; 73368946; 323304464; 574095154; 272689952; 790158135; 692139774; 112268124; 306323259; 271301793; 526967500; 271379567; 247999442; 4310199; 602436379; 485283794; 321051955; 712579788; 568946043; 352965662; 184457963; 510721099; 112387897; 386142754; 121268352; 993478869; 581434590; 557215616; 889566030; 369440148; 743045533; 830107369; 490319283; 804840910; 6419180; 959945396; 190614911; 444278912; 424589218; 977907001; 854525719; 610694612; 681362815; 368200300; 684828514; 450942926; 514029875; 913849655; 851306301; 673317426; 559407571; 638727600; 385822892; 104721048; 475832743; 405816550; 803070000; 603927207; 635092947; 343478431; 665162793; 756201078; 54799913; 998138231; 743075914; 730375930; 814393170; 728232261; 62044653; 749501841; 415427038; 513028142; 249417179; 407489793; 8834419; 763455232; 575579214; 336172053; 664149160; 552764934; 368989298; 869381235; 245760504; 559601798; 459411092; 128521566; 105948064; 822503862; 28182710; 425804549; 296216902; 783985669; 738287529; 245216367; 205671521; 219292492; 417375923; 88060995; 221789467; 103643152; 97007674; 946405; 547224805; 375118476; 106191758; 19985374; 728029622; 798077597; 598195072; 932201935; 741122904; 387694757; 677287916; 195375494; 874040994; 454154459; 32085124; 349686963; 164908756; 814292456; 592063801; 788139179; 537873054; 827359417; 801913924; 597757325; 48010650; 837545334; 819126990; 855957844; 85007013; 572464285; 548926678; 725367000; 116115369; 512413926; 342314126; 968581504; 52547535; 772240546; 383799947; 585911059; 282867863; 700287741; 549921260; 532655537; 138258764; 432791725; 357752860; 940644567; 704421017; 168261924; 605897316; 432426039; 374132771; 610045010; 447019469; 243162073; 975979616; 97008845; 719608588; 353366225; 787500224; 593440073; 47629185; 434626138; 512744854; 251118508; 623122670; 11094260; 169645830; 528048638; 566621041; 381884160; 773486573; 94360158; 82760880; 463204505; 422480116; 167581376; 783857268; 661271465; 909522961; 659253075; 326023500; 371004541; 262730988; 680953610; 432595175; 231244248; 546215018; 84259289; 504556555; 219654290; 195501912; 307052632; 418356154; 329362376; 669865795; 439812306; 860016622; 74360913; 332152235; 807622082; 443082613; 508234766; 528623685; 402633623; 740506255; 852911932; 867133523; 163157266; 736508791; 708896062; 803882785; 272961421; 643298792; 748868096; 319073360; 454788453; 682479981; 957887577; 596018191; 905769375; 434845080; 962708802; 377896464; 63166324; 331744668; 109860589; 779815618; 372429780; 910941329; 945187623; 53099201; 41645261; 579844663; 248498587; 35411060; 771965983; 250289077; 425512707; 931649263; 890365559; 782715791; 10368292; 380281668; 586461314; 880299475; 246702094; 378895698; 441890601; 615160867; 785072999; 167198517; 681651389; 502261139; 30492505; 524230436; 913121407; 772694165; 657502740; 940222153; 698531638; 46485602; 252280180; 324826643; 931927926; 78078388; 70692540; 143551684; 525801083; 954362043; 359272479; 744807174; 641495624; 876453513; 543179161; 153134709; 12259712; 968845964; 597240007; 31447396; 409096573; 944256961; 877583951; 550958411; 722863008; 851332097; 224362744; 252506815; 403259766; 652995660; 435785420; 259996738; 31630275; 243228613; 806375772; 558952114; 972753138; 231295310; 113272882; 604453865; 98227579; 674278659; 813750494; 413117764; 859130011; 3094164; 700511972; 918203760; 254260806; 225253062; 388047763; 603269028; 990381164; 877610281; 509735984; 430443935; 431244873; 590767225; 713929682; 422487228; 491005288; 566600838; 833917760; 247484487; 532852586; 108413801; 796282761; 895608902; 178139895; 332713512; 396607835; 479071664; 737810377; 230357708; 860724198; 374069142; 683885075; 736271585; 742340049; 765103134; 490733760; 107248094; 752467299; 182445563; 283010196; 11062589; 506855704; 590475623; 290446001; 823104265; 751959050; 311126747; 702020617; 681859438; 30558111; 105667063; 927741330; 111720908; 818645528; 134266315; 384625240; 677050185; 189406663; 201602163; 105957159; 986615719; 154010121; 302506315; 307468237; 812304523; 336152959; 601709125; 369094842; 96879803; 830015342; 106907980; 848035832; 295227574; 347856849; 77376250; 561500158; 931648827; 246873453; 291259566; 428365077; 324972831; 285458643; 50159839; 191645091; 143728999; 778599734; 588716423; 443187210; 599923028; 992771172; 349106695; 404138926; 368557161; 688753223; 26034686; 701430935; 862852355; 972599532; 422698371; 192374540; 573769308; 325972876; 813485907; 851640889; 635276925; 502404213; 96179126; 456985364; 551501026; 601050839; 69426017; 667030460; 89824047; 667102356; 120093951; 870892374; 726981505; 108139288; 136729659; 889892456; 244753859; 987401415; 853379828; 974191889; 800906583; 134679303; 421788470; 867918010; 143563227; 964397993; 565126020; 226026569; 62692353; 104691804; 805197861; 173075132; 97404202; 829426454; 50324380; 918363521; 310504710; 509605502; 350244463; 951401051; 376989234; 518184902; 303172756; 495588178; 361007044; 24635485; 294855537; 639718699; 967944739; 976231398; 628763772; 213951682; 67461587; 649856532; 799086632; 716188892; 606553555; 235114409; 867987903; 264412700; 550362495; 510639510; 863680262; 233822549; 388386883; 420317888; 787391491; 928913176; 514811533; 654051267; 413908611; 527521048; 252867047; 861700693; 35599428; 988081535; 756954055; 611533857; 353887235; 564100042; 485056490; 591079944; 7488448; 858550074; 772857673; 241404324; 576037379; 671266486; 261450768; 380180467; 707952724; 44254078; 568914479; 982957896; 274160953; 925263072; 90424024; 562462113; 600363674; 59281989; 149189899; 113649739; 114946011; 887845366; 942669589; 312934106; 541110202; 456583701; 379685084; 160441356; 237412712; 180052990; 991433915; 252223453; 770942710; 953963047; 444569309; 394568426; 56514351; 344954175; 499818526; 147024029; 188856377; 565284449; 433806778; 676122119; 872126020; 483218092; 206931404; 357612144; 239681416; 782030071; 582677173; 782489823; 799898864; 200420270; 191167074; 302929200; 13508807; 536523068; 896911056; 479245690; 299601953; 110864590; 678443411; 728343594; 213045007; 340473408; 298365386; 135715419; 223447964; 282418027; 704213012; 218754678; 811914173; 651968236; 867149977; 78036033; 959634982; 375879259; 681801680; 699468176; 349579714; 283253986; 497982948; 292378715; 380733629; 536251555; 828774089; 41097237; 111292987; 559373928; 70406845; 158131274; 524111767; 31941572; 174423976; 274804747; 151276996; 395139115; 869010220; 151647672; 189547143; 480510360; 867878088; 962238125; 29103961; 658988924; 178611180; 360128378; 444676885; 148703598; 300236085; 957832620; 412576911; 626520094; 797871906; 405118863; 453891060; 488281388; 498404409; 743210762; 459379063; 21916561; 483794779; 233305318; 678633939; 971440356; 984905924; 690037836; 69224950; 351413268; 604690700; 398599242; 106068461; 482059240; 579282034; 807349159; 7362140; 679296297; 901627025; 66161952; 500198323; 582569585; 851237895; 666396035; 871355894; 248644389; 100185132; 283526771; 832099900; 424143063; 230260260; 724009961; 976142116; 274933527; 954529713; 521582576; 595681626; 79439440; 585208603; 394282014; 26915106; 283855753; 387608944; 52402357; 483491500; 518832740; 686299637; 610949725; 91868083; 489845622; 111425070; 516378689; 303075289; 199102939; 12716760; 947414396; 890441873; 491342929; 718441104; 13613602; 268558954; 223343842; 594275398; 275874225; 560524867; 682620926; 304430968; 321573489; 127376203; 95283016; 543026665; 394584916; 978809985; 631421061; 744216506; 975696451; 848393873; 969476195; 430417725; 600848444; 297716251; 871415526; 568144481; 544544993; 130774489; 169340200; 27784490; 94244094; 887330586; 256467142; 793709155; 615068257; 518484366; 195164923; 187728695; 538328592; 386249009; 632218824; 154085776; 696731548; 446853727; 157284584; 59664445; 456769260; 33467294; 8134763; 579133049; 771838356; 999125855; 33180418; 567762676; 415230602; 534411830; 329789307; 323840712; 439776468; 36135493; 924663349; 40237295; 651759500; 186686129; 5859494; 841522649; 486869804; 330183205; 252128448; 219337107; 650205142; 155080169; 449912497; 605410196; 183023867; 266334854; 754687107; 617556850; 503699120; 573580158; 448547684; 167200757; 795629199; 383040004; 165807453; 322767276; 426624352; 309741672; 915632670; 653962559; 309835615; 625860991; 261881652; 685311721; 670236104; 422976723; 970224587; 665776583; 378479495; 283769222; 526648452; 304356747; 95099547; 735483291; 481510622; 225044746; 22449856; 639091996; 324694637; 986616893; 401462979; 794686388; 504208634; 128313269; 234617362; 512561470; 262606860; 699238481; 589454310; 654586686; 711344197; 604766517; 515605241; 913431003; 467625107; 721522378; 854529151; 452467351; 695810422; 92826777; 888559728; 391763995; 679312867; 738018492; 652047638; 494374661; 566200043; 983753820; 748295216; 926959528; 527881778; 662185194; 504953369; 927031371; 679263469; 67822409; 923337735; 770184721; 466522329; 955269672; 448142536; 530382572; 595726765; 646767702; 381910356; 301590949; 788378854; 200689880; 798988118; 604078480; 499238874; 79103449; 74586534; 38260451; 447934820; 964733949; 503133409; 155259969; 431236182; 73670836; 235958999; 300958992; 325503025; 90694630; 47754827; 276215982; 65496606; 14738333; 570963709; 124708353; 599634703; 493573360; 256037880; 939230502; 488578050; 151313999; 880379235; 919441769; 3910909; 970598464; 442881139; 121056434; 446195333; 962045360; 169610698; 676329764; 67675944; 503986522; 258149920; 941413137; 832453943; 181903759; 991119510; 351916838; 253260870; 208551606; 732327269; 218828594; 249363392; 547597227; 557113148; 980508161; 267275594; 916714265; 137356924; 627119829; 137458419; 472368566; 160199259; 759742708; 247822677; 945952695; 327604062; 82137680; 705136950; 755533808; 646485035; 389527410; 946900939; 450870082; 403031267; 317564199; 445860142; 434063437; 447922794; 388057478; 318665589; 641170231; 75425619; 918536352; 248323417; 587065077; 941526476; 618107024; 537306087; 878909894; 514382603; 261058736; 152633683; 565655159; 383019115; 403529583; 319349417; 231704298; 569401610; 483841004; 589404682; 923000532; 747243516; 242683865; 272718847; 334320714; 616497255; 922421868; 662758242; 474953226; 401788580; 176989543; 836627602; 855800690; 412280930; 667716402; 952230068; 501357166; 339610696; 576477753; 220462838; 875406870; 713634432; 38025135; 155186518; 107005045; 447178699; 820697383; 875844343; 995582121; 673836818; 821133860; 390911629; 218390267; 187598631; 509515014; 900717977; 928611831; 868490977; 466379996; 337163581; 843362162; 435637787; 472794434; 283116222; 613086290; 651054712; 701348621; 861604014; 734512669; 282061580; 577444592; 293503211; 468482893; 364729149; 392662118; 623948258; 46455521; 651182072; 991867625; 682062868; 876781970; 273658458; 45448422; 824761474; 643057457; 608444358; 743625706; 386514843; 720593676; 441037089; 152548801; 364608114; 869691; 247386823; 286796381; 541902242; 558160211; 898582961; 847306280; 489382302; 714606110; 853433458; 877617333; 988949306; 663594240; 480214018; 713648496; 620813608; 459155124; 742118271; 103832884; 376061463; 4915750; 665612771; 97207552; 417886128; 134338274; 475428382; 73608071; 735521452; 241663428; 462161644; 103177277; 566354564; 451900567; 87749221; 105981094; 702345569; 141824179; 175115134; 931320465; 611912525; 88789578; 165234443; 768738451; 905989656; 111456350; 777538523; 309730680; 308330795; 379026751; 932578725; 910335919; 625817232; 598606493; 71788901; 464978102; 711022637; 534482620; 635806559; 705584519; 823449810; 588846434; 69565655; 274281303; 17768884; 698588528; 190263584; 823300283; 235142147; 378820305; 858139810; 940065141; 486405933; 268668095; 973646968; 146312986; 620440452; 25709842; 256542819; 903786187; 956748457; 433417515; 747024625; 532157355; 886561729; 550287627; 884423739; 468564473; 40824135; 654600518; 30354327; 32264664; 299463565; 420349838; 584390039; 926058296; 483315897; 359292871; 88737691; 820885183; 399326998; 609104707; 281668450; 509585438; 896475554; 46825493; 468175916; 93146429; 75149704; 663945520; 844992600; 747199150; 381976042; 567887089; 790146181; 499682098; 188354601; 368394039; 461814082; 618525622; 208568799; 634902128; 842504461; 631065971; 328232174; 787092377; 762373467; 738156109; 610773471; 847517091; 823071944; 812936080; 985907183; 874637884; 409199912; 6778537; 639827695; 15414877; 490871172; 440502471; 459501128; 703075592; 951217217; 435403924; 680905235; 52572693; 811611071; 384472809; 552480571; 419707062; 864430119; 267693063; 33125960; 23424146; 79183057; 971115026; 67647480; 428309109; 846555598; 889238181; 338857109; 988031387; 726461916; 575892930; 550148611; 156133494; 686994614; 959336912; 265870310; 471241316; 766481714; 738318595; 489724425; 558965445; 406224990; 675731134; 584984429; 532072331; 456677628; 543944643; 207642517; 481843579; 766686819; 62673231; 684746266; 296614473; 987936672; 19519947; 157030240; 305477145; 690719276; 650432460; 999877674; 449013119; 711616514; 738457598; 582792279; 161408407; 921045761; 700203709; 113771659; 912181014; 660629709; 180668993; 34831689; 733854275; 220090215; 379314949; 529604791; 454984012; 380711321; 273495668; 853109795; 458562207; 444750756; 581879175; 151301155; 403012540; 936429416; 859800328; 517159323; 969294440; 748569252; 46502979; 655932216; 400917819; 247759804; 585079863; 885366759; 325462567; 629681970; 537328364; 862317211; 708162533; 873574985; 600419684; 568432517; 816089667; 855717697; 756100362; 382269211; 415798304; 505172088; 678463704; 826181259; 168654032; 283228072; 678106381; 978914852; 230076371; 505058053; 434198823; 492078513; 824859141; 499215027; 557034704; 855729777; 592654519; 963416576; 866329149; 781467615; 198456441; 297385850; 572084703; 578073592; 545800232; 763320005; 728353116; 647863503; 485365707; 565388682; 837752668; 904290666; 291597032; 506093193; 929407324; 412268093; 669021757; 728326381; 369543892; 659123072; 794111656; 550725265; 145324131; 895969177; 666036436; 137411881; 960174420; 489544997; 499370634; 332541091; 446995581; 586162909; 943801876; 612369162; 675278068; 947459680; 730978686; 823701539; 860368525; 624502675; 285808357; 194205621; 263041954; 34235256; 66196927; 300211725; 145089385; 150906829; 381059146; 318695029; 137424165; 784538743; 98258913; 739126686; 986631644; 473616305; 837142890; 779861176; 904128869; 324858944; 765990009; 753193367; 234404703; 2018552; 891090340; 49318523; 719988975; 14791816; 951676131; 599780206; 222436151; 266653993; 641223270; 320173432; 584031640; 444357784; 298383769; 780372614; 342652106; 555327977; 131851970; 175194347; 741304901; 251582985; 342156324; 345796243; 605906087; 352421040; 230253366; 993235257; 1969693; 281474188; 111016296; 824690716; 894944977; 482038080; 636320156; 790578990; 502396837; 523840788; 349748619; 972128524; 701054830; 337786421; 875171484; 822916241; 286921120; 561846284; 613580799; 484573305; 993610851; 872196940; 333242067; 349937096; 849906783; 49908089; 743533372; 658266306; 386639072; 586011970; 842935939; 342371414; 393986007; 575207498; 168604948; 214304006; 907795244; 248420370; 363625364; 827514166; 221096498; 966836689; 971929622; 418585743; 706739447; 425853724; 900128790; 900733193; 30543942; 734187883; 394415880; 544856894; 569566671; 103290435; 70580858; 59711808; 710032977; 249851645; 337334402; 461705316; 92329528; 366911765; 334796049; 567192930; 791923255; 720232864; 343679461; 262185886; 554970574; 254142664; 913079752; 814761387; 888735188; 520983618; 455389107; 431755676; 798174929; 259893423; 64405313; 7243084; 925615955; 842598743; 902785203; 846361742; 122749378; 180632462; 708810233; 812366622; 233173292; 131033349; 112196428; 304306776; 645307287; 570759260; 60834827; 116662236; 899219934; 757525569; 766719924; 588649303; 570844993; 51002503; 604170753; 591132281; 378547274; 146049476; 183819447; 913955497; 550078327; 559529384; 24905873; 647073766; 198415512; 719343295; 508295435; 400409892; 760265724; 94184038; 539214553; 991847031; 485747217; 399102641; 664971753; 991477592; 108275119; 561147043; 562040342; 621779645; 785938050; 739144722; 615225248; 994805428; 394487930; 894037259; 923682240; 43004805; 369479471; 919077148; 639980054; 626703243; 454692327; 976087245; 707307036; 400626082; 124955200; 851810788; 669003450; 810519571; 883995293; 213845740; 236095867; 179602456; 855296527; 455118220; 510528471; 35108972; 843937697; 329008005; 971054715; 737705562; 348582493; 693737258; 603275003; 902089194; 103543926; 777539873; 153241748; 956580036; 761807478; 539430966; 480418983; 65363229; 460487854; 40743548; 454671158; 972206433; 908974449; 322315503; 110268610; 686926985; 177133879; 335037877; 161075744; 474092329; 754030143; 801772724; 817148787; 674611573; 758240652; 461913824; 821388309; 787212142; 118920323; 698116007; 704100039; 136795407; 366183003; 985541015; 497120673; 343162110; 58858634; 328193124; 59333140; 505457807; 370925360; 887102724; 590207630; 995904364; 978227184; 128533219; 361116492; 927416478; 287046958; 334598404; 826567560; 766380956; 387399293; 610040213; 67889025; 500279753; 221039914; 761947924; 290590030; 357294274; 762258931; 463085570; 104944345; 53891189; 816753000; 652028847; 76693454; 807361377; 774642291; 386368608; 429808163; 305491914; 612238657; 860079063; 157182675; 766764369; 164551872; 798878302; 7676265; 427862487; 418784890; 696961656; 986449456; 628464644; 606692017; 863966009; 213796025; 350494043; 754629315; 457740603; 465408182; 155366244; 434162926; 166266940; 544697861; 455817159; 745621596; 116214986; 407037763; 37510297; 659103718; 947206768; 380146779; 178441882; 588810473; 910702477; 742100513; 506398900; 78948914; 148915085; 586726661; 94511150; 89416212; 669066166; 176452143; 814622632; 610142321; 143581589; 806938583; 106132945; 575441670; 810768819; 940699304; 279715288; 210603555; 655719558; 623234413; 531189354; 679465713; 962245112; 117956501; 42536699; 10175078; 441359588; 260534326; 73271918; 9934085; 726983284; 493505781; 694158561; 39742021; 404208445; 778428736; 197940120; 568628378; 127094494; 117983659; 159874068; 796861743; 186406357; 463133716; 413252565; 65007814; 676083694; 356659794; 551966221; 15387105; 567542672; 477316217; 520316086; 964023870; 331846008; 960616796; 994028705; 656053807; 143840958; 710032805; 859406265; 266078336; 87538504; 713379627; 851373517; 12465574; 578822303; 534153334; 743297876; 678474482; 574120829; 351800460; 306688009; 840029909; 325463859; 795813923; 766224438; 453029252; 784640243; 102097305; 667580443; 964021748; 703999087; 846300429; 800326353; 450701585; 234612325; 138453683; 528583114; 410123543; 435580382; 20901999; 167906042; 282080030; 474304373; 247547544; 115326016; 26372501; 651823049; 414152575; 808294514; 839236603; 51990413; 947148583; 268282871; 172462538; 715353239; 87015120; 623803143; 398092712; 768985006; 63174591; 598850834; 920479944; 390740505; 476732193; 168503448; 76253371; 434259097; 308079295; 380666113; 671126536; 120376766; 778453294; 758731887; 719045564; 802583270; 171667173; 91649316; 112540254; 921161700; 419910330; 965984748; 703849834; 402194578; 319564218; 833790073; 862772637; 13973749; 295506953; 560192226; 241845300; 459016554; 284424176; 495322860; 908548077; 453250224; 549830587; 101519816; 316306680; 4297274; 477591933; 929962688; 687356969; 704176315; 570802613; 192540473; 876244597; 2352570; 161476919; 849719649; 326532826; 914425547; 304260255; 705752182; 191928536; 818243490; 48026838; 751112307; 727240325; 14192232; 305402925; 698844691; 499796875; 761261339; 92939287; 322481627; 393009167; 554761352; 363499340; 938467278; 213523609; 408615979; 969704197; 999792740; 871268387; 960925764; 965551046; 744832839; 489557826; 597085985; 474378523; 880102871; 909535741; 599457438; 692812284; 346285099; 623217380; 501353328; 56899865; 636911947; 738219084; 70134573; 527461049; 106559068; 810111463; 208249045; 924396426; 561698898; 684186001; 462551659; 626727259; 601653983; 961752476; 194549712; 404788333; 383369236; 741701702; 123955592; 179934961; 273323873; 262253410; 370068399; 589383282; 118500823; 225341612; 114207638; 324748608; 353578569; 400723274; 485376116; 155237963; 416915063; 801437726; 926540916; 873433287; 980821313; 32012835; 409561044; 126219618; 130251090; 231497075; 775502207; 48683846; 676215637; 20165694; 109965397; 983224952; 930484600; 736322146; 908251788; 933599195; 357570996; 193187040; 981127519; 279774120; 24542801; 418039497; 599573216; 281940477; 445646172; 288693840; 98193540; 599139456; 37471004; 644669251; 807518813; 63138917; 582451650; 767067766; 783088986; 33248852; 244162103; 774330124; 995667619; 578111063; 345500715; 184658013; 566535159; 999106421; 746817361; 289654502; 950468044; 439475067; 746402749; 298074927; 590414146; 190468335; 541570670; 847385340; 590407191; 670118320; 434966136; 430797375; 764314557; 569495540; 139367547; 116201815; 626245134; 309618198; 130055973; 100416415; 573457213; 678091931; 244142167; 324520935; 755759385; 641620088; 548111354; 789034994; 288527047; 695926502; 739586343; 820328226; 933287844; 20797880; 335199579; 380319210; 435632491; 944033827; 564667116; 460531104; 44054348; 527896444; 7651123; 65919309; 813049872; 516541406; 741169518; 387004322; 565924865; 680072669; 399151257; 716301105; 166297630; 954483141; 755689683; 880992351; 830736318; 582944143; 830408622; 349102087; 938381719; 305397575; 579727518; 75458779; 601566722; 969806471; 468843697; 959576032; 362248172; 937378584; 7807180; 732124825; 729049850; 220189016; 559158857; 139651929; 1463412; 63171720; 285623426; 604091081; 56228109; 916158069; 315683725; 431421794; 381203992; 695736713; 423822025; 179242122; 814611460; 32896558; 509381281; 485614243; 834665169; 404153196; 117447196; 280830851; 84815114; 155386312; 1329059; 367109128; 866577119; 136010953; 843735615; 649702963; 636104388; 790151515; 513602221; 39418187; 907639117; 943447839; 931904679; 459274839; 597337805; 362097618; 525459536; 95379158; 312513417; 321117234; 767943294; 253133714; 667804728; 700176654; 324244555; 70142379; 228916152; 887835813; 895075926; 482060838; 398579272; 991435210; 637972955; 546930296; 92598921; 367636733; 899317402; 139931578; 191792528; 622050078; 472161889; 12990656; 782876033; 867037140; 64108588; 788425697; 284655044; 339114067; 973071478; 841539100; 363056050; 70597670; 359364937; 494640469; 546357925; 579039900; 240903677; 93629298; 640438653; 441368826; 901699704; 600858681; 808182921; 556126971; 823332898; 407742352; 495276847; 336011469; 814144096; 489300362; 994186836; 123258915; 754640406; 673725403; 536401347; 392476048; 492359725; 842458229; 428737161; 403418619; 134564446; 747843565; 774234013; 905143115; 509512978; 27540945; 402786805; 699152761; 189284580; 280401553; 613188750; 746867896; 751684378; 588480054; 199861508; 256800902; 595750656; 749939986; 35376617; 309394126; 299074763; 112880695; 120490986; 21072336; 679537329; 950081033; 379636076; 187372636; 412874225; 637481275; 717934761; 322908379; 531009794; 241289814; 621709486; 624372339; 571733658; 482766056; 310218859; 23866849; 76783484; 324268685; 644079303; 354946735; 678367543; 559769159; 978098509; 658309176; 736161886; 399717784; 370905484; 166566210; 858575674; 148885655; 737161300; 902104899; 61635611; 917081504; 436469173; 585869534; 719837919; 549464893; 829727570; 995533162; 541997907; 262144445; 547275155; 886195719; 957193337; 293479774; 479676865; 696098435; 959507792; 848520788; 440126476; 24473989; 120738889; 944157022; 285504747; 377028055; 194837927; 198891834; 872631411; 827040694; 14375858; 942532076; 659457233; 224378233; 499869537; 177114504; 978257617; 401684550; 429446992; 169546692; 269008166; 70767055; 470591578; 900298047; 135460987; 896423477; 284015191; 273262409; 517269787; 908210616; 940902190; 881078390; 85810042; 152864765; 314285346; 535486758; 733577043; 911357131; 358407621; 470238691; 624161928; 867739423; 701486904; 660337017; 418806455; 567425082; 529003838; 380512038; 693293983; 925608375; 512643488; 777674221; 950965174; 872827677; 243168775; 170114437; 734220766; 234947022; 260363344; 186253978; 282406891; 138494753; 811380047; 341470523; 344712208; 575150361; 882071547; 696314909; 960055551; 954436743; 614902137; 770152008; 906808679; 376065057; 477866428; 164279933; 339858387; 27691811; 90944574; 581132438; 304106063; 468235382; 240100618; 769105562; 981533962; 447615421; 88733927; 672034535; 116989791; 971859441; 808556584; 53640331; 574280584; 755610974; 840111086; 200862065; 678605080; 265399357; 938896489; 125408770; 667150480; 531751640; 135611975; 865790609; 484354978; 969106335; 762215342; 257085675; 11285334; 997304190; 576683819; 345234604; 615205268; 413720835; 808213612; 254999251; 521958774; 568185130; 92450161; 896903685; 372989939; 314453410; 128946272; 682811172; 927013764; 535038161; 743948205; 315857009; 23522915; 495408157; 382101413; 229315293; 667522338; 431301704; 907099926; 750818505; 907662608; 563437251; 606436150; 106906060; 268092662; 513804138; 193586474; 868146365; 680632439; 606411606; 394903405; 29973001; 332338915; 841426986; 141387984; 285691568; 811860049; 806602229; 578777525; 95815635; 161227109; 781428350; 854231576; 23801469; 864543917; 660887189; 451422782; 447030518; 910119326; 917932506; 475366017; 935026767; 913608001; 914595264; 449377033; 335530279; 341705115; 780979229; 350318685; 607278383; 698400202; 183352745; 146902547; 209548942; 610663784; 79801766; 538978216; 653239336; 107219187; 545020881; 224076956; 695982056; 87742618; 94365928; 634077828; 320742547; 550941190; 469387268; 434859837; 940940804; 678957866; 292955728; 329439289; 94333042; 278345457; 858243016; 74726194; 707721520; 460110807; 217500722; 697201353; 795924739; 135379576; 792132830; 53506081; 706117293; 751706013; 13821647; 268379239; 773264196; 572233715; 345962374; 716098664; 72810058; 115219508; 179713996; 690826061; 126084203; 382374368; 882749945; 37956358; 564365236; 614338288; 613764357; 870679107; 12376425; 168434382; 794883417; 488056334; 862867100; 483242104; 798763634; 721936784; 652827822; 511234568; 991313962; 79140652; 163227445; 689075505; 917194787; 117585392; 375780557; 420134621; 995608505; 798731199; 680162805; 614884880; 350354175; 181150062; 163607923; 917382585; 176456828; 89327578; 521373805; 549586811; 216272104; 135100940; 947323154; 867350206; 41188893; 573046386; 946791505; 737285722; 851727591; 689375699; 534315589; 611844035; 446036068; 452111465; 521643701; 65655139; 182732508; 608619692; 884164679; 897328400; 939740721; 640284550; 129663799; 346629938; 161006562; 123514654; 73507542; 249804843; 579365570; 509414053; 479731659; 382623671; 549406959; 690637795; 936974505; 518249911; 702440353; 241327875; 94487395; 659213063; 364141193; 243045103; 578343799; 90598353; 693862614; 983711303; 879863798; 390540956; 776748405; 674755168; 874775359; 22358214; 383571817; 834573462; 202108645; 81895939; 415855937; 761978991; 357768787; 332015400; 133849785; 785665519; 915741652; 675535506; 679326274; 643261894; 799176595; 358801654; 254640771; 283314552; 138850237; 471569068; 366538759; 985425824; 768587513; 610910698; 199488999; 353683990; 333592392; 290093053; 347299647; 469809681; 289830084; 162542430; 722732867; 628682119; 775480858; 349673218; 737763604; 831456733; 120341430; 215910959; 437991797; 485179003; 189904315; 993488642; 36042255; 812412062; 687118595; 8529421; 768249810; 93681710; 450102893; 220249566; 561932576; 169299630; 947933781; 335971708; 580505579; 550004833; 888462212; 359737857; 64376312; 469536041; 384547572; 107557034; 42644741; 297017776; 413152195; 78478474; 952214320; 477744252; 813747780; 132255987; 161829348; 51395914; 901969386; 192423700; 735070215; 314285496; 698468829; 465062496; 861228192; 338475080; 855228061; 7736550; 934883368; 508063109; 58713890; 191762703; 874026144; 670369127; 949152258; 100652616; 70548221; 310182480; 157702151; 999901689; 548105805; 859470440; 579517283; 358825649; 405116740; 626337972; 757382508; 144011680; 165795269; 802556541; 340161889; 348015914; 682784533; 828490878; 428968986; 418113468; 637393553; 725411757; 13548659; 362002690; 429139847; 348425250; 636322451; 582945143; 897321660; 529631104; 336098411; 496137528; 164900465; 423320754; 477961501; 44668908; 907418977; 728521159; 770626710; 920403638; 464417063; 508792848; 949424450; 99488635; 512629612; 240454553; 138726665; 226789679; 800938679; 488849372; 842984090; 44553005; 810902200; 732552831; 418376353; 436075160; 551854637; 503048867; 781633304; 993667788; 780584657; 784130396; 971831539; 35883327; 838669367; 951033573; 425174345; 203787818; 272580377; 835152899; 659034237; 36823633; 641793367; 632956764; 823884054; 746580290; 998096688; 911347749; 180845138; 200892512; 698676843; 260582752; 781079496; 590866381; 847850621; 196339713; 235713193; 757107442; 37552046; 167733476; 611061364; 994160845; 114415537; 84032915; 510959365; 280434308; 708916667; 161522109; 626460847; 85718917; 488828165; 808300872; 689398226; 410369573; 533763623; 170665233; 189016958; 729258720; 601032042; 750293129; 61096412; 917156571; 605066142; 85245862; 319848822; 321989965; 398103189; 162872728; 809066465; 757736168; 747591753; 389342377; 731672491; 578597716; 822517095; 549043907; 921753308; 443769688; 974365820; 390535126; 926832445; 120005023; 198612333; 525325127; 21124145; 345706697; 9949073; 402937373; 766685574; 388561793; 205766771; 447559887; 713710589; 84994391; 228434413; 253076567; 791207126; 552949391; 470286388; 239810609; 195885326; 197262441; 360996238; 803692993; 309023825; 693184435; 514528489; 827644232; 521273537; 157062220; 296252043; 822305091; 93250131; 403128828; 68675526; 769506427; 430238302; 794917917; 865151044; 953878432; 829424565; 806377546; 587299019; 966406670; 825700067; 264091256; 669930195; 398745721; 953747710; 157996010; 636403663; 838793796; 413445528; 687120921; 347176692; 792674522; 497887644; 556105482; 693861498; 513225677; 528589901; 860579475; 818839821; 487675286; 641146471; 158289303; 299790514; 393753590; 360355601; 466599199; 189591000; 535342059; 257048285; 159358611; 303460437; 367009393; 107551280; 421802038; 297118767; 152328438; 256688902; 914518734; 293475987; 869694362; 925004238; 766442796; 965016738; 848633193; 81050153; 300223426; 723891521; 322205414; 30423389; 758738292; 736517899; 452398732; 928965970; 858472706; 196618652; 247368082; 503402430; 698541649; 531774140; 938504533; 258381977; 587161825; 651529965; 206866593; 276307788; 870862953; 601650796; 568705991; 959896655; 982318309; 751186916; 20394769; 552104856; 49397896; 681478899; 115561957; 351365976; 30071065; 139587736; 715132944; 59899336; 350346619; 629660394; 680783567; 214138596; 788304478; 633150380; 469816614; 457406363; 625545515; 903216180; 665051278; 642997589; 963713795; 855939978; 74276671; 533230858; 178066839; 873459340; 561979550; 13331900; 634708693; 407080402; 323626175; 109595601; 188416641; 624172863; 663529773; 357165096; 538752918; 784784445; 594702965; 408656949; 176619623; 655379714; 453094052; 547583652; 185417500; 726595904; 543910805; 852072328; 968804941; 643541495; 923068653; 452598273; 829456043; 428641607; 850563715; 597047854; 482823291; 1986615; 101204923; 378072579; 634574291; 637365552; 847106000; 493365606; 631533530; 111286574; 892647978; 238382878; 820756891; 501273955; 247702653; 382115093; 420056588; 327563650; 774521635; 515066110; 226885318; 194380511; 984328133; 101462064; 60518522; 246131197; 507711586; 244974205; 777347035; 338072534; 242046448; 79045400; 318533274; 156356531; 261624662; 259403816; 661948138; 713106738; 341719040; 224307127; 207270668; 157940434; 281630398; 754900757; 188795228; 769040774; 25210163; 1866727; 419429022; 730155411; 85808304; 403759992; 556554461; 363182733; 694802732; 127461591; 405909971; 220415838; 643861437; 643684255; 49551252; 955604605; 589191119; 877864876; 841940222; 331290771; 339286015; 547248592; 680542299; 576764655; 337413066; 407647185; 691349584; 643035896; 439645541; 396047842; 549822685; 60081770; 4885345; 50686509; 179634422; 454774638; 35230731; 11058983; 857288037; 690275019; 335615786; 712340163; 436006593; 786515029; 639614649; 397311159; 972303772; 955031943; 442870665; 827744871; 7385499; 730258113; 654128782; 318070324; 770494456; 769241501; 256060216; 981842064; 698911814; 625627534; 760379056; 500499598; 967728579; 875587635; 484546148; 389717277; 807986249; 61768244; 937259428; 595592663; 608010707; 572194041; 606739403; 100542012; 52159143; 842341025; 638608345; 313796167; 470528491; 424848364; 461290502; 570020439; 626638211; 540488914; 350767983; 637427765; 626931714; 55361867; 905746813; 485376282; 224138883; 131484680; 650338724; 881099674; 26557555; 756219949; 333921261; 854779915; 652001474; 255775201; 861991627; 809320052; 203069067; 716077623; 905649538; 64678528; 959847429; 826314670; 449237136; 120389110; 192995523; 57281810; 204247889; 774800231; 473626491; 940608; 224857472; 13348333; 731593203; 772223976; 291449826; 119440279; 633537740; 309441463; 245992735; 388501055; 294202968; 735861114; 874938575; 742759489; 817000849; 454395691; 83264021; 197552580; 553167034; 427793695; 73394659; 351279521; 573711696; 183277880; 625796567; 682528352; 316545931; 76174860; 428676574; 188341959; 595079274; 464627925; 528659317; 364936675; 735352767; 326908931; 588436185; 901951792; 855485568; 319534836; 977956492; 859048557; 420977603; 53582065; 756846398; 279916768; 381674156; 381413761; 415864789; 936478592; 104412598; 309355501; 357919716; 40964196; 21584807; 601728699; 745147675; 204856002; 92635426; 761962462; 1942547; 820774103; 14861187; 269583266; 164156948; 724729398; 373786991; 326181959; 816273998; 549198235; 38279490; 870364591; 299709420; 549500468; 834220798; 349876246; 91445236; 518195064; 13434468; 337562150; 41805838; 126527149; 51050452; 964491228; 575567480; 134262383; 310993420; 317131613; 848908283; 223914060; 240451185; 498214996; 317790406; 866305505; 908477731; 652923035; 248051645; 703255713; 507823328; 537735965; 890737910; 103279416; 328446033; 985433585; 632440012; 519269640; 478605651; 942314833; 806787724; 709677464; 784521440; 502252073; 727135012; 687648214; 442299062; 615531491; 989502491; 390163500; 425447090; 287631688; 432235208; 735938202; 696264953; 636590969; 249569588; 286774297; 760009888; 436827026; 723194067; 480007887; 681399783; 202740575; 899688664; 556058674; 891898584; 748123783; 405465272; 407741421; 466621124; 172309120; 774403291; 961944585; 592405473; 467298547; 853383847; 941978152; 893300255; 620687369; 30839037; 352770182; 323976612; 520835469; 706003761; 574409077; 169133868; 945874789; 434698843; 405803923; 521639085; 73707186; 99240304; 967522279; 825059784; 222954018; 196779355; 184824774; 99522019; 326451190; 293519204; 671855378; 28764564; 153668719; 654665941; 381945801; 116621366; 183713898; 664863552; 107002452; 667375954; 417029343; 697735377; 216936739; 591451202; 869520514; 645231415; 258130042; 925293341; 381249108; 740694206; 206869671; 545012688; 299161892; 617746985; 480850909; 463773429; 205654231; 496659825; 984231702; 822439359; 838260886; 76822065; 866733944; 314972206; 448823460; 351830395; 881465901; 756325779; 965114158; 335362984; 29834908; 466593162; 59164478; 183879299; 238863544; 41605134; 813603804; 878653717; 610770413; 184228362; 216341402; 375448108; 636458846; 770577601; 644626290; 404446022; 101018315; 552553220; 30105501; 17394695; 462532140; 651548338; 510483511; 421638119; 662435694; 42502735; 756582540; 257586193; 1120856; 299442172; 846095275; 884920547; 52191460; 815226793; 86101301; 22703951; 806685882; 860505256; 400668135; 190554048; 355990246; 238986754; 731767318; 183358634; 420481201; 272673260; 647645097; 215410417; 797356287; 651070455; 244978850; 714449227; 182150862; 714744241; 837805117; 453238590; 952955294; 415591901; 67705919; 567062673; 614226777; 28324755; 391773113; 358402249; 199528943; 621010078; 204821371; 158010766; 995981778; 824814812; 573821004; 987384412; 697117950; 21810646; 157263348; 602181950; 42212843; 780492129; 677076333; 567631483; 951928214; 678632466; 745187481; 944049415; 722570609; 31692486; 748365174; 70597322; 360698118; 999477667; 999623181; 765129745; 81984627; 799846627; 6052048; 468346676; 413093862; 438955516; 935250007; 854924495; 196020289; 345402354; 559528841; 646906903; 897692032; 166948615; 255819755; 124726623; 898212259; 625751524; 954171620; 923731864; 348854930; 245872142; 235150186; 161440713; 744723326; 683903602; 447172834; 268223520; 476030877; 604620590; 324388620; 78732012; 941526750; 7493642; 170215645; 549190057; 618558139; 790407029; 825905118; 139316406; 21430402; 955531943; 193384917; 247030879; 815397728; 439635568; 422197954; 348005127; 185400353; 696873564; 518322974; 902133451; 116211698; 349127787; 340508421; 915965026; 487662374; 884233003; 823298880; 17512240; 84406226; 890615591; 865267167; 604283314; 254801352; 805296851; 298910890; 911728361; 918359488; 418680928; 596406212; 241470439; 571501938; 269776317; 859794168; 817962378; 482400590; 870646933; 725326923; 64827121; 837655454; 74307807; 494278614; 453054338; 307221158; 807983520; 979804374; 958278003; 712582424; 77659347; 202008235; 360233855; 902976981; 443300704; 32601444; 683298649; 277301826; 400389898; 647484184; 316379672; 105884113; 849961529; 794697910; 996518209; 181467390; 905116426; 635563891; 124493246; 223739341; 778040499; 589924308; 88203762; 861723630; 139852258; 799117365; 593646089; 286390349; 668617052; 641880867; 852910779; 704487390; 410436273; 170828481; 300519316; 164830587; 550310190; 785571164; 515854907; 169529477; 94657699; 626232561; 616493450; 662799039; 535079643; 479967197; 282492320; 591402845; 295153195; 356681586; 355540432; 459626601; 133188119; 396482749; 178283259; 552832654; 449983996; 217460395; 746851968; 257124923; 495687830; 405330539; 943979909; 569314072; 348741175; 445790424; 426425461; 812415823; 373113859; 648625232; 323649560; 717971412; 508128002; 684143970; 684894619; 943251705; 353026981; 934003226; 963917732; 845494080; 187195396; 67510256; 749102773; 983731203; 793982308; 565363347; 661434929; 285118853; 530731415; 595942855; 566621540; 207724688; 63778788; 368453951; 666504136; 402971260; 261100035; 982027923; 142821207; 730819813; 802334156; 239515079; 654215244; 488790154; 872739367; 848804878; 214573678; 420060371; 370133908; 636281155; 707747597; 350758953; 629642806; 490543288; 870981091; 993781203; 678003313; 213295192; 386317842; 764992044; 99068162; 911615970; 56288790; 723673829; 118175837; 66203249; 872679598; 221827199; 705666830; 759131658; 461146682; 535628211; 177757143; 614537836; 206340788; 914621301; 251295314; 65201599; 595527269; 948960412; 258392481; 420867790; 141651288; 884833983; 25376583; 641429607; 447336962; 226608234; 672745827; 299559484; 365884605; 437242125; 863893737; 437601286; 154345172; 681864582; 41077535; 493008373; 331338726; 533888521; 359072508; 66647170; 697300059; 780522963; 410854724; 535420603; 403088422; 452040112; 238050015; 563056444; 84422239; 312439908; 659293756; 474660926; 731297508; 296456749; 601753030; 38097459; 75449987; 89081386; 309459657; 793655534; 834882344; 770027384; 993982708; 731462191; 542155109; 955301608; 100736504; 725832879; 811787170; 708506823; 82290325; 516609376; 167515743; 795620762; 892909073; 460790121; 930327207; 929740875; 586030266; 569297038; 728696756; 786978436; 386346956; 935499785; 119598238; 546795687; 388091327; 468041255; 305051712; 201926418; 258335880; 791379428; 937858705; 119576645; 850751491; 170073556; 87811692; 853232848; 859171186; 950999820; 988599284; 916675203; 107047129; 373167657; 715060300; 874895022; 546471259; 251447810; 773293686; 740245499; 294668424; 189622522; 777450492; 565953524; 93868385; 398804669; 253188147; 222557214; 649358746; 908108667; 912255850; 615921829; 201474062; 192987479; 362394321; 58441155; 88223718; 874483960; 628014592; 962289441; 163385815; 708857398; 809191891; 866445040; 397903745; 983473644; 402241624; 828792145; 486596400; 559587476; 118370443; 348603309; 966883568; 18832078; 882909634; 299623094; 201001266; 549855166; 446064608; 927454286; 721649964; 263384516; 489301635; 490149406; 407361119; 294828795; 805228392; 357399330; 865570098; 615893508; 402982092; 237427321; 427169299; 629400991; 158704132; 668050172; 334475571; 33044653; 338937952; 993744503; 130325132; 814317635; 610759951; 264649186; 748838775; 223878670; 392482284; 635614465; 737961407; 529358376; 40569051; 687273491; 104821368; 970442312; 511678973; 687201125; 647451501; 81545610; 577143112; 21352551; 289136454; 932192977; 862009622; 513073827; 324994475; 997768798; 384931040; 612362579; 935970488; 969580199; 564009628; 449684679; 508115807; 995217219; 137926574; 875838; 746776608; 845361793; 264431007; 65771898; 111094216; 376216731; 887107839; 348982427; 643239556; 558353955; 914246203; 364842510; 231662968; 614826001; 334097430; 249464628; 435587383; 703981914; 249150630; 673502830; 450434060; 75242863; 431832606; 779735110; 66525468; 418286519; 687317763; 529225040; 816243581; 960509130; 499660210; 33841660; 991925104; 889416294; 533442087; 663175676; 718665176; 708847948; 614539213; 234965634; 112852141; 351482105; 832271554; 544950470; 959164750; 164797156; 466443387; 64837782; 530635696; 881416619; 881953601; 298341641; 710538; 210957201; 542877794; 728265041; 192582118; 405769326; 782441828; 680232586; 137265680; 234058360; 269340739; 378189525; 50760879; 940926474; 811087380; 352693930; 365609301; 633493528; 581002602; 54807765; 509955028; 9717398; 521024770; 71555321; 308381735; 452347982; 807264948; 743143340; 624227361; 905902175; 307338869; 266317631; 269951747; 187089974; 165207846; 345022355; 429425690; 312036865; 435928981; 502335405; 283890247; 287137777; 57517898; 599517561; 375655146; 863017980; 476518045; 242146776; 968092120; 547030188; 944465553; 131255512; 24416377; 254044389; 27746910; 666994139; 897738149; 372079735; 477768531; 607598911; 756223245; 577641394; 476449419; 292125690; 995512346; 478436449; 732357130; 181795980; 822786917; 721908181; 11638156; 57110056; 92301093; 849998922; 987470243; 761282106; 781743430; 83240174; 372913455; 500034957; 829088729; 81412915; 676930845; 190676278; 90268180; 272121322; 386362265; 573545795; 672064573; 346582784; 648847965; 833543399; 895147244; 697062775; 745934085; 211258423; 87874342; 198966368; 485916659; 837616954; 802264239; 817153251; 20066946; 674628906; 457594135; 476108039; 790843552; 221717758; 93183170; 515191374; 641067873; 977920322; 861993442; 39954598; 90302687; 92950441; 22716925; 896355875; 286603447; 222348982; 452913621; 786497472; 663687048; 661058210; 352169058; 927399381; 883684554; 536411055; 314569678; 264898228; 997748824; 566238113; 400382602; 822568438; 787125147; 422038355; 113326691; 718140328; 268292764; 783032651; 517884825; 35479189; 944057781; 63163324; 150928674; 223537025; 915418679; 478282252; 812868516; 179652820; 156745736; 842559433; 890400142; 835460258; 102642454; 336437874; 374840362; 241590919; 138497942; 871296897; 494769491; 969111084; 331841604; 331281274; 479256783; 359044995; 123894304; 728943460; 21169780; 416441296; 310762961; 266626659; 578540207; 792745873; 283886915; 709856079; 355357976; 884750802; 292463515; 318123905; 610712921; 493840386; 333691994; 671148244; 146589535; 869892464; 191850076; 579549964; 43475329; 432200920; 24292317; 558339244; 731656332; 994386812; 599595585; 73153628; 23808289; 193257072; 463418980; 950658287; 843689224; 55726030; 189286443; 104900285; 321100852; 416779643; 420983660; 432560635; 424511022; 102631877; 142954956; 622379660; 477373132; 83126060; 619590981; 310435279; 329029244; 545463241; 263895751; 745227508; 548394391; 273287013; 211182312; 523893355; 342134792; 60323578; 787960930; 957963285; 415894351; 480474271; 39937509; 575189254; 669374958; 968094784; 547552992; 858847361; 667452881; 281871376; 163826094; 510884493; 954650183; 947669366; 50296031; 620295390; 676469969; 491971703; 799707091; 577189390; 533890926; 289047434; 160130012; 135880570; 47611469; 205903845; 374156995; 175352630; 786663697; 811184709; 669071438; 120812354; 592516269; 464179584; 496219092; 819482897; 149826; 834561728; 360348495; 415898783; 874589754; 272300199; 577836254; 733936039; 185619139; 258588542; 336550260; 330050257; 993850159; 895112162; 122655187; 638121265; 446489750; 217034251; 14000894; 471375648; 264013044; 633207826; 475102954; 731243149; 538400443; 674447007; 519714318; 132424151; 451262994; 581274178; 132132220; 868504934; 773056353; 292831174; 109554198; 218795782; 133977113; 764110893; 437633544; 753765546; 960749520; 492705857; 475089306; 125296608; 874795965; 910174584; 433585047; 683077291; 793491455; 480475855; 838906714; 315895210; 587750029; 624683692; 458105748; 368045077; 631559501; 55626372; 119613622; 518392998; 107077433; 580050306; 157010649; 452346915; 290972855; 797180856; 642803651; 78861598; 410299541; 676339401; 609428236; 529899442; 107930697; 896460612; 643692798; 685310721; 78143919; 305661872; 567281944; 355533221; 601633797; 731257558; 904482032; 621752597; 281613384; 975054439; 595804854; 133558746; 662307231; 408399836; 335443417; 292310620; 790240786; 923007248; 963960720; 143459535; 373738661; 770154283; 681835186; 685061352; 905923434; 364877070; 557307237; 64918172; 928395802; 417383317; 597488685; 501882731; 191843314; 669660295; 694188187; 488382343; 958488595; 570151466; 627306890; 843506122; 652692384; 951788617; 227108822; 270705232; 116927678; 214282671; 660713160; 737415375; 649443440; 105518385; 887892388; 121290394; 744091652; 202059305; 629066638; 15248679; 80635262; 10129406; 471937663; 675663164; 941214445; 568850960; 391948828; 974991748; 388887006; 591474058; 868642298; 760461398; 612635114; 410281975; 468319238; 242571514; 293037455; 901659583; 177673801; 157032141; 570494763; 951081458; 791488299; 607269806; 196521820; 13028193; 786192772; 666243968; 669056077; 134871770; 357027376; 270541314; 706978469; 191091842; 394562; 642474268; 433505198; 700652574; 15354129; 698273743; 762674082; 90624117; 562501204; 494702268; 654764373; 930310624; 688592943; 468379023; 436049988; 939204784; 6530753; 514825246; 487790274; 198797955; 553933198; 528620934; 773430805; 837755737; 391007660; 632532295; 761891675; 150092795; 381368940; 318991230; 171025072; 845562953; 730725629; 484730114; 603293301; 315529891; 563655244; 759901611; 874116945; 57938538; 114771320; 765461586; 626932627; 710921135; 644784826; 86042666; 137278669; 83361654; 995964643; 926456340; 909280831; 928452094; 154656350; 21134999; 438211404; 704898417; 877415759; 127540641; 250620110; 804887431; 287654435; 770356823; 135561708; 970622941; 715418108; 436001010; 404439384; 285331260; 763985492; 358583576; 81914602; 810188066; 850445794; 971868069; 807230530; 463848052; 864504373; 562647675; 663400509; 185958221; 729360437; 367263221; 683916250; 965886033; 482807872; 831468009; 277306046; 798406773; 923997682; 901009575; 129268485; 842744251; 854262137; 397322924; 572531462; 553275116; 178952502; 425000487; 30656773; 716222745; 782806760; 223738316; 307156465; 546301665; 34747332; 983207427; 446760138; 19063006; 251226809; 339004060; 578091948; 738293391; 188562820; 218720029; 493013997; 236525971; 471837947; 896092249; 541262630; 657866345; 412641154; 877499764; 676687754; 20946553; 725506496; 179760451; 677960508; 767526241; 272464941; 723208292; 418785985; 645692978; 772527166; 64512562; 701943177; 735147988; 464201129; 672096903; 523978270; 302739430; 702352268; 956226739; 853744807; 601800954; 429775483; 302195939; 403098076; 946103790; 647765396; 958815717; 724798259; 313844636; 334318383; 360680037; 2061090; 798117832; 300817477; 353877021; 871744128; 988669104; 792651874; 86512063; 379759269; 774950713; 323678935; 430910761; 254592656; 317173052; 927947213; 712193956; 291985166; 338105252; 71800003; 50341887; 716403861; 670889109; 987200169; 684733263; 741264568; 751010811; 454250587; 137178579; 624078895; 438595107; 759615112; 754699154; 431710698; 576281792; 750443356; 41483759; 270981464; 319460153; 826811633; 273976076; 83341164; 854777148; 436448978; 575354680; 974115490; 569844915; 766294145; 378962412; 361616819; 440680357; 64187451; 337382004; 833062494; 441846476; 157484985; 552415012; 515661682; 626058226; 693849619; 374053100; 640756661; 139050982; 257178186; 274742761; 562122980; 805007554; 487931242; 958571550; 628889036; 718537940; 980204217; 418184612; 40399852; 416859409; 157870920; 765425759; 551526252; 617064916; 995107430; 286895937; 457565676; 657249525; 491344066; 649811719; 821511820; 416599311; 669512085; 554766925; 956593690; 983458172; 90990257; 333150211; 64283379; 24469475; 433292533; 778359767; 899080160; 905192624; 817510956; 401406437; 529411953; 214099599; 166660819; 265658323; 26813526; 977312081; 70889095; 235613772; 813073025; 5618071; 228643598; 833240330; 607812331; 164983524; 214399518; 928440313; 868067104; 315385065; 554387895; 157948515; 606775793; 760770743; 769162754; 877587914; 7774152; 7435486; 662408372; 348924930; 258591288; 975976107; 47897164; 210586480; 232349428; 845800257; 432247724; 933767689; 154733781; 480545675; 679863681; 656975482; 499633189; 984350878; 228601524; 29922699; 637836072; 770639004; 381478937; 92169866; 807321359; 867416585; 701645679; 240185285; 562359027; 370303786; 176836115; 300201500; 59522069; 111006542; 944176246; 691163989; 412196690; 754263748; 443437086; 961809391; 947745991; 427954887; 749270821; 704944212; 597971956; 884659575; 389240365; 704854353; 928655728; 690567056; 272675145; 552333625; 197195349; 251867375; 443389522; 698191959; 305568431; 576399440; 261128024; 728895785; 823396379; 509847676; 976331384; 963180665; 48525314; 309623821; 923180047; 77199751; 582866991; 710144196; 50500759; 52743915; 982099393; 195620625; 405815325; 868401873; 336709152; 709687310; 665566146; 301508781; 579356845; 555495768; 898419305; 856607270; 458608773; 475966907; 303602865; 860265298; 648514527; 246234031; 838773220; 223639309; 18549294; 947052788; 643107995; 312196267; 825188550; 164820723; 270995346; 820904731; 723942066; 808953407; 599764702; 626516253; 318850163; 506742940; 180558837; 983897664; 264391; 682261908; 528161276; 553996973; 672358721; 859184329; 671139888; 132256043; 418878605; 180884989; 255762396; 108799393; 216622377; 639362489; 320679022; 620301200; 817862365; 73539363; 309126805; 267246959; 228729277; 56015486; 735242545; 937683125; 514479349; 978730922; 426539184; 238391222; 568436311; 626427868; 685853562; 738031463; 983684284; 89130836; 728076735; 516368709; 120827997; 548325659; 324866115; 522712735; 62470303; 537559197; 557300356; 934414758; 387716446; 759645631; 770673358; 303655540; 75097143; 265709865; 159903686; 392966307; 829498418; 745647466; 749254045; 646495089; 763707743; 164367566; 680657696; 412854443; 564543987; 90637367; 476159695; 376359552; 656116363; 228436955; 308256470; 502213541; 381142232; 214743447; 924201669; 78770513; 35192569; 587451154; 129014820; 239733475; 85276129; 329932595; 282263208; 499168227; 230673733; 768055604; 695690661; 630475731; 220345679; 520850288; 355730165; 822751393; 119315243; 637584096; 804635523; 125723704; 993338767; 534706595; 626227568; 129394665; 933096485; 675614175; 528012254; 528829764; 440356699; 861620640; 800570790; 474536658; 572553330; 456018997; 770426851; 257097265; 120855013; 613808747; 186425409; 193379232; 777107268; 87760798; 172447934; 632791583; 794504621; 775507241; 568513299; 85889541; 94645910; 381612925; 339421605; 788197974; 87242643; 749224336; 702341321; 932525404; 692065248; 905364761; 469232743; 901631336; 157028677; 654336264; 754060682; 31378041; 433981990; 134806524; 450429820; 332507924; 965868757; 704973519; 578736630; 121175574; 217441261; 357802894; 416718303; 651287470; 271826232; 361013289; 515375746; 550840777; 575142297; 79452488; 194833805; 378537188; 478810809; 393993587; 352460233; 294921782; 235215229; 853171295; 241866480; 831768803; 172136107; 33457120; 474905737; 129031101; 567950290; 153504067; 338823888; 319798907; 170467449; 19961707; 628457446; 188999691; 72299454; 511911967; 741613504; 920446432; 305785003; 754075144; 88848820; 68653229; 850025767; 447973432; 509195717; 384195112; 350775823; 400191910; 189368300; 738340611; 29238337; 120990980; 739495296; 783067611; 506751270; 789944625; 499363333; 774686812; 568852585; 207383033; 146185968; 678750209; 84831626; 560681006; 66076541; 499746387; 588246736; 166190490; 277755270; 363383669; 699064161; 662034583; 578325095; 812931644; 739647188; 164794106; 443969266; 215550455; 981166585; 330453478; 724789723; 615488304; 453463376; 2070371; 932412374; 59326196; 830444363; 447671647; 88240155; 382165641; 123782909; 793603213; 394214310; 809516842; 746342753; 365953881; 715766783; 980297287; 945668379; 802367388; 620607905; 874994999; 334489774; 679090361; 526259593; 238380034; 631112746; 818755364; 817148816; 485987029; 211499843; 63848296; 828794563; 155693687; 655730978; 156583225; 30968629; 69539646; 541665059; 331063865; 820811078; 865160957; 787270456; 333354266; 253557198; 190838252; 725001830; 240579638; 258011269; 964012313; 702574204; 378989479; 189374945; 145372992; 131641654; 841867535; 658488353; 779330400; 544694757; 114583305; 866204967; 827068725; 100770317; 710033869; 768708024; 701958239; 746547016; 323144478; 882972776; 414994744; 514812430; 731318627; 40617318; 74997752; 850396485; 782670477; 405241392; 524078426; 526938691; 617624754; 797753001; 408285259; 764596161; 598974966; 205542371; 276590592; 125503640; 143306851; 727055448; 389701112; 713180217; 48576593; 91709946; 56250850; 944810540; 242415272; 919659701; 822059745; 743090178; 762423598; 380285506; 523838421; 853246105; 340517917; 740144783; 37582462; 9229653; 817668189; 516410136; 525423270; 652885243; 365469500; 108282810; 50796708; 772605448; 477267927; 304509581; 472399243; 390492548; 734730768; 834399943; 400571697; 795142052; 807807303; 797922871; 260619428; 454133868; 145035139; 356117145; 847036660; 853778140; 303013438; 611694832; 652947404; 552372237; 135955387; 294188084; 696199456; 211608499; 166693975; 720450779; 607763608; 283202868; 951750590; 613964580; 207703526; 388212826; 348259036; 890213780; 246383242; 757050714; 830807191; 740006335; 613084832; 794458747; 818208460; 447915125; 473442687; 384057193; 910066830; 998487408; 69560391; 56847170; 643190245; 747077656; 332447026; 94075813; 561271042; 765222756; 330595912; 241283819; 750696172; 833877887; 341347216; 589373837; 447747922; 466719938; 286501838; 415157405; 654323175; 339406409; 694699051; 740171585; 340701794; 341947345; 500777718; 267610730; 919930709; 436667296; 24737943; 167094743; 640102068; 246259531; 573000117; 315299327; 536261878; 813573916; 65177949; 950279972; 820455868; 11599820; 435261814; 716812237; 956836295; 323568640; 241366397; 963495805; 127701176; 762541479; 615028171; 752788501; 823037906; 535372959; 385635106; 941936765; 318492717; 906391237; 785422647; 518134527; 787851504; 409102412; 39661327; 893090327; 493629644; 393201140; 618250836; 674692266; 388949077; 357859741; 673349140; 130821281; 552431869; 682941580; 776818990; 830456594; 571540892; 557365895; 271083551; 569902777; 295687509; 421540897; 412008793; 838523779; 390644604; 326196112; 922133105; 768081750; 891832047; 479048029; 663935615; 227745053; 220025048; 269045687; 353428895; 631663339; 114347252; 916950203; 264040959; 30253368; 346399737; 548830616; 496868496; 552711987; 116460721; 418887541; 344223934; 153831484; 710695126; 71384069; 180529339; 461483144; 940538449; 973861150; 255801366; 59765487; 864272275; 740423831; 42050439; 951967505; 504112793; 47731860; 176674232; 991339871; 266543875; 339820313; 731818878; 594834983; 4232530; 542317995; 359657200; 898200644; 636109328; 968503921; 875234670; 192146770; 442374890; 648519369; 755991595; 293296620; 895802621; 224497175; 917251986; 82018717; 793558114; 178713476; 578505896; 944636983; 72635932; 558066699; 691552885; 114797461; 206504307; 469539168; 541946627; 173464713; 432691088; 706226817; 142594280; 415117581; 804383853; 277002786; 496767343; 49241848; 738120105; 660826332; 489747157; 619556203; 693661936; 982104718; 301246684; 67291404; 145435718; 347119917; 75356399; 826771875; 736754953; 909241257; 482099288; 302243390; 514153785; 930001605; 452239107; 740712008; 696123907; 688364320; 622207635; 224353619; 185647226; 320094234; 871637084; 836218802; 592431428; 976226949; 254769093; 840691108; 939013398; 757170812; 49920838; 461621542; 473655048; 946427983; 945983065; 190769907; 501401760; 798174723; 601062662; 718030365; 197453090; 121162742; 737954930; 8834615; 66246298; 960354104; 669008526; 277585720; 84372118; 268150528; 736902085; 627948284; 949265932; 692552235; 443631945; 426175261; 406093711; 227739831; 569276031; 603168124; 847264773; 46771623; 440960572; 146935725; 47566620; 974152036; 116642530; 482593735; 392417265; 882243715; 615450320; 414988271; 2683349; 206210938; 252986277; 971556828; 450765916; 94338953; 783564849; 45777331; 314889374; 993437809; 444149648; 863650596; 259688741; 54993000; 511577082; 641380806; 485724663; 844553945; 35047955; 161530303; 197715767; 701642456; 361862667; 275478806; 411810330; 373094668; 197505874; 76494714; 394072504; 775781758; 718173692; 691782715; 97774777; 503721370; 635471307; 800040117; 125790047; 441886482; 439997603; 362781875; 560173444; 226771493; 357597773; 158841958; 775624462; 850108805; 138028998; 872086520; 411647263; 189855650; 921366847; 125794398; 979671301; 568808402; 514003137; 503436421; 763545728; 487985427; 121016482; 971008275; 998457882; 463098070; 797622187; 388014247; 120092830; 13125268; 742198069; 900895696; 567201212; 802758118; 36535572; 264848536; 229680934; 903770651; 934678501; 787889262; 922721447; 696521730; 471723727; 580540076; 98095217; 12510537; 734070487; 946148440; 971816548; 263447197; 403698583; 855959995; 622098730; 70828604; 61663901; 213068000; 778597684; 724305004; 372135378; 354375894; 132322774; 902552158; 644293518; 961820461; 199356169; 698057494; 71784317; 837261961; 345091016; 140572634; 619753287; 532818259; 334113120; 529006482; 726758966; 4930115; 370581302; 476595119; 184647591; 454973618; 699367749; 729145937; 153796152; 620393255; 587707207; 583575290; 386277986; 486557842; 427519961; 240978444; 802993269; 250205064; 483008330; 597950406; 747600557; 325363856; 714091827; 659075588; 976147334; 285391461; 598305690; 714577857; 319803889; 254409672; 167272662; 384718163; 266435481; 677935561; 607185653; 728451121; 865092691; 656317974; 745906660; 926807883; 90386292; 187512202; 524904460; 673427954; 368868331; 943167273; 210785892; 16896793; 658987006; 994453986; 760808677; 173299866; 931638751; 965249567; 39605288; 564994334; 368975951; 267391626; 403789301; 866065923; 263576992; 945671397; 177687995; 800503228; 210543073; 498365183; 279793182; 475207258; 632634543; 725194197; 357223271; 731568704; 143836833; 576631554; 689795641; 919662204; 183655; 316612381; 46825941; 322355614; 34488804; 482706850; 90341229; 809681891; 600647741; 53069606; 145608798; 44125849; 313787926; 615459747; 779761832; 281126837; 98615617; 448752259; 664304567; 463324195; 859643897; 98720709; 977529450; 571637553; 573658838; 948372675; 417078080; 879461418; 191514336; 447941796; 975539007; 169235073; 487596182; 36637418; 332545134; 298746872; 402930566; 994736910; 283072560; 400730249; 761438065; 644786584; 29655238; 617835034; 397623969; 754305774; 273669566; 276170216; 269366314; 525406669; 174868278; 344346251; 44290543; 499417720; 273840589; 195390389; 771829551; 853074494; 834188073; 318726513; 890754068; 819911938; 507856531; 394697742; 253473821; 840456037; 682395194; 109257200; 201434541; 675903596; 132318071; 569238123; 401514312; 237857056; 47899593; 530329021; 66587919; 607980289; 943743783; 660647622; 125240556; 833033359; 20879481; 316011758; 282379425; 733202365; 956598237; 223601523; 987388331; 478723707; 198120656; 134684419; 54608638; 837211336; 616688894; 60492843; 622942063; 494984705; 419285621; 120903664; 814639775; 367083861; 705417247; 517335123; 812935726; 86328936; 854663334; 719744044; 977314129; 534515935; 334044293; 904008788; 636513550; 684535717; 987146489; 790770855; 183697750; 60642934; 473029999; 925098145; 942727397; 830620864; 628535409; 365495442; 23579478; 938238478; 37037127; 482169318; 812731234; 750484607; 424072242; 587798654; 497045282; 436932020; 596448266; 397906922; 467677202; 94204822; 157598642; 509154619; 754158848; 533615797; 411708975; 970909222; 404118645; 90424160; 53802023; 407497094; 193588183; 264813407; 905535223; 142837909; 702969027; 302159885; 71492777; 121249047; 171403688; 738635662; 91550264; 114041934; 380660620; 453137966; 854282160; 616102928; 828721970; 82620218; 79293304; 667289657; 160763354; 242836965; 664396273; 645312548; 664565492; 25299864; 838788602; 769948258; 522503714; 241285854; 709512925; 562834801; 408634499; 219600070; 640090758; 719672645; 925737998; 603961365; 306362643; 998369759; 76984956; 180112670; 711717936; 506822425; 644197780; 26695985; 736398046; 13136100; 871344448; 78055788; 858357727; 309141568; 773209331; 214395283; 335746968; 632114367; 276424147; 584174063; 350709; 520808353; 255093840; 540916492; 32953454; 989696566; 305986684; 307110152; 75617259; 999326356; 924394448; 698083305; 58151588; 313331750; 262090258; 346811462; 493143959; 258087748; 86988624; 543913712; 511797185; 478061604; 790614686; 958231295; 304918581; 506503807; 810240101; 328398092; 751508354; 364786931; 875842830; 166792095; 797655638; 366956300; 15539360; 85122050; 901107652; 822247340; 43025268; 929034529; 821695403; 308031946; 383380379; 660085896; 824968768; 171764404; 254548074; 204692456; 895247031; 873779609; 636622724; 343888054; 126004981; 106935807; 722520912; 176677929; 133935323; 989702312; 482032411; 671433588; 682530274; 135313599; 236700108; 169560702; 123823956; 270070055; 276472440; 596874386; 470835763; 717099065; 832199412; 953909678; 168447365; 55892528; 8845059; 407620328; 17936881; 633218755; 708821998; 254034632; 528085081; 935365319; 667738721; 944139384; 488145296; 935738349; 738989535; 753761734; 403003964; 91286555; 385358154; 38749192; 712210471; 387212941; 403579589; 356141729; 45881281; 171984323; 423765853; 768586751; 805192543; 673377760; 112401658; 808373577; 393081051; 122283982; 608559886; 509505249; 717361317; 189959413; 441695428; 931245005; 236317038; 645179480; 262664709; 459901875; 91090898; 972824469; 699220199; 777212786; 326820901; 171464291; 478966832; 918927359; 786456261; 77971979; 958948872; 594163724; 924473700; 70660433; 146364205; 226797256; 832094353; 341955006; 626646471; 577369989; 93326990; 843001495; 705656119; 960002666; 4356773; 142809875; 514159560; 889593985; 923753210; 802897926; 241764091; 262905339; 131674907; 224035980; 830177297; 146305020; 477767685; 719967443; 747045233; 65666992; 768195689; 101148134; 891421381; 851717209; 469088910; 463941425; 144432347; 474336389; 676615632; 390917048; 605723383; 736168898; 533814977; 4794081; 531811175; 925364631; 311467691; 603357470; 608856729; 40693242; 246151749; 237233762; 525268648; 124349391; 522733058; 666762623; 188553158; 851878623; 90073999; 132710109; 587906991; 677829666; 273051604; 92364039; 693148997; 134060127; 244953437; 638068087; 958503460; 922497660; 655065820; 406629054; 865140342; 840974530; 702276776; 965557832; 928280891; 973110827; 33447554; 452905811; 244362347; 901501694; 103453403; 201970632; 798508057; 627789079; 51871658; 533425628; 649202399; 797043496; 207882677; 403358293; 197260099; 970025602; 711565081; 461638717; 832407164; 777578330; 386163809; 116738539; 798073860; 863808317; 195663879; 126580199; 561751114; 854953612; 366993396; 765702162; 808450406; 759572885; 866339587; 317298913; 675289622; 692647873; 813044271; 687063064; 920108553; 715129660; 209941279; 761292060; 320233262; 459045570; 802653486; 280565996; 276945184; 56896188; 167244773; 725350932; 406158200; 296397794; 380666997; 439687820; 800992687; 476737244; 880157971; 533060156; 290349059; 548966754; 781801049; 838142882; 207005401; 630918026; 112355534; 519450726; 367473778; 66613053; 116230427; 566184635; 531975831; 88654218; 853222831; 4396776; 726565057; 357806781; 422148525; 306591792; 940264374; 592055167; 191720836; 779923854; 286151146; 711343862; 868508382; 62748734; 128986615; 817885888; 147384863; 83944398; 217487609; 892110200; 765627041; 524950352; 893703810; 337177738; 912328193; 747537195; 71405405; 18453709; 195780796; 653911058; 201681830; 758887299; 888212776; 175779142; 296353428; 575424861; 631417042; 555263824; 677847692; 698120073; 498265003; 887937440; 430544801; 251662914; 817557584; 559165194; 363749127; 299846644; 664399656; 336631637; 142555285; 965530742; 905167468; 952188964; 180611355; 417498642; 455031791; 61971192; 728565565; 586993971; 510700007; 618589664; 285241967; 97291780; 632816648; 618311458; 657632391; 116599784; 5886959; 917146117; 714831549; 755982023; 67413985; 63826797; 657879185; 267171024; 207887739; 415794080; 565934381; 866043552; 137471223; 427503863; 884002504; 249689425; 909848372; 141956628; 404575354; 559918570; 332641892; 440201103; 66028444; 273313981; 284013482; 510839458; 658268332; 615341922; 894046904; 141014936; 871817922; 281786552; 444243681; 844840386; 889945049; 257157160; 228010294; 136163350; 874200220; 506571701; 777117411; 737180102; 96122604; 662876096; 593652964; 979885136; 184589576; 202746214; 161682401; 255958520; 527477664; 241528992; 915915394; 335020572; 442397426; 328583980; 216931542; 22998540; 358662633; 301314580; 640964851; 218625097; 745960127; 580122997; 757515914; 261046391; 846235486; 430115019; 813461000; 820463463; 1929040; 843145538; 663116857; 843096378; 824694590; 970130625; 942720485; 350046942; 141846927; 328799506; 217513224; 86446562; 364170264; 345974801; 33842698; 120880123; 138611725; 548355287; 558381316; 919355445; 981247239; 312592235; 221909417; 693788186; 149252587; 910924303; 225485747; 574624352; 878627345; 594284807; 871200859; 104810785; 122788955; 946440856; 543083580; 676691983; 886900657; 223278693; 268268923; 293530436; 561399405; 891024856; 474285982; 764383440; 925449240; 702031161; 567167411; 591441162; 455813745; 196450732; 13926343; 646321674; 663825397; 306364896; 127689541; 378151221; 67498553; 405065211; 997107842; 865901382; 168009018; 125521549; 363443057; 649037047; 192904063; 436171489; 783865448; 874487710; 806586006; 362022091; 477481399; 220411427; 758943254; 204097643; 501293845; 941281494; 280366944; 708077402; 430490432; 349050704; 762252662; 936373141; 60953542; 695036784; 425258089; 688105496; 706092706; 278381003; 968195893; 169161628; 647738606; 622415018; 860527044; 689307198; 557912272; 82363822; 684651647; 922045945; 3862342; 886320864; 521905316; 192004635; 353312548; 413878723; 373106662; 796255747; 233625552; 717664035; 869043114; 188544811; 162106928; 667043603; 20382320; 644230476; 460580417; 7100485; 624656868; 709442995; 871850262; 146332367; 789725442; 454983443; 711706781; 627361186; 859000991; 538990216; 775780173; 31338284; 153640275; 441116054; 943769232; 277869641; 797112129; 933275628; 855948279; 42060805; 689069488; 629900443; 717193998; 436560729; 448343139; 10312445; 864818015; 95866923; 832918554; 736146622; 880846200; 277176931; 163201971; 857946602; 747288259; 855504302; 670845777; 928539720; 570843428; 665374297; 111809093; 415956067; 163814542; 118258118; 111308151; 160314365; 752782619; 686460220; 175198008; 312550097; 679103015; 186852356; 435196326; 46354963; 388856336; 964103187; 861256268; 50518654; 86269283; 115626389; 806785080; 301047035; 383844971; 125947306; 899279409; 945307423; 5739043; 883488201; 534802403; 775215354; 63966579; 599192849; 788857250; 360694362; 794794544; 136291099; 976592327; 691148717; 728791559; 202117875; 682638723; 856174395; 841618967; 35160986; 848298868; 430247350; 208521078; 548246469; 129406116; 39217090; 746090086; 725115926; 103270647; 8883840; 292323072; 692076177; 615438959; 624303420; 663273315; 619933595; 408635662; 916075117; 748977808; 260208738; 229202452; 415068590; 407693135; 824212119; 803779068; 662483015; 929718523; 43933125; 71579431; 691487081; 105926572; 137977399; 743229996; 856506178; 44452046; 710948240; 84072192; 798186365; 561456417; 61039087; 66028835; 419922872; 99459129; 96646445; 425212477; 230446082; 859032424; 289708293; 667894012; 935884271; 959190179; 647428446; 403882521; 477780539; 597692972; 232011832; 447977636; 431938210; 4958356; 518590152; 531601520; 707691184; 581006853; 890391386; 4494027; 821736478; 644106809; 778226675; 747937442; 674199528; 490845203; 148826883; 60878299; 340576886; 344476046; 755287265; 61609844; 308388196; 53430227; 897523250; 453373177; 347813467; 946351202; 52808567; 526427973; 829903057; 287693934; 605368989; 291086852; 169364425; 697700082; 687482886; 728527912; 855164673; 330022318; 357869124; 979284614; 17575106; 376222728; 627951343; 910844342; 844891587; 173732075; 720061065; 272081137; 604139347; 856671027; 482750862; 858270082; 691357368; 734033286; 147862489; 657680671; 551592220; 143938066; 56783701; 425904374; 727944137; 45130029; 463603522; 771993089; 335763483; 262988327; 830278861; 589300751; 49276646; 787053440; 916767116; 556477467; 279398732; 86106663; 444731550; 709853534; 526350328; 760982524; 882767931; 142955184; 450971935; 297860941; 501021150; 382902277; 646358976; 63758878; 73489725; 590401350; 826114915; 366459765; 931467601; 269945193; 861598786; 441548036; 365765743; 426482712; 907637041; 651891592; 35490857; 537273575; 405614374; 958181812; 138170890; 632810746; 233756611; 242083586; 733708323; 85435870; 720161523; 643205444; 713995532; 216158931; 674590589; 186430075; 234132939; 596572670; 437186989; 782376520; 454214096; 133505657; 135974528; 346277054; 886451042; 311146420; 701984220; 186825127; 599600934; 831773668; 649086984; 979636405; 619789976; 541792645; 476908925; 684555496; 183562750; 615882355; 168452967; 759690577; 7991467; 341650327; 280190439; 487628685; 795164864; 926196782; 725221598; 260580409; 806543758; 801519240; 949594482; 667694532; 537728488; 794869729; 294187800; 356856465; 96027443; 448514102; 869065914; 749458286; 938647296; 506385419; 169338293; 482241812; 337030162; 285224469; 210119780; 134560753; 966639002; 981903970; 138059038; 988035462; 449989412; 487097365; 770393411; 642576096; 351195061; 701573450; 128792137; 154216014; 776644076; 938029814; 263539278; 276786699; 829249536; 658936107; 689190427; 746552781; 583530974; 897984363; 939604499; 423592163; 422900769; 377777003; 675775183; 476157744; 823204076; 26893839; 866486839; 965882697; 518822777; 885230319; 451770514; 819720997; 208068722; 223562612; 929464246; 601004610; 902819339; 340679469; 730596827; 992290738; 62510301; 51232315; 710615508; 278866796; 529201122; 168855124; 864944885; 194161584; 938126921; 999633763; 671971196; 451027494; 477593154; 792830210; 973983806; 419323807; 208614149; 777264013; 891876302; 302133663; 198676737; 94880876; 413663187; 743564204; 280855802; 102105646; 366572302; 170953999; 706679798; 592197822; 129944119; 30213796; 850917955; 440431362; 116711619; 405628182; 809253424; 173544021; 989172822; 393185488; 778704432; 279666133; 943663774; 365594819; 92373414; 904010169; 165769963; 56277366; 474942257; 959990012; 938236627; 977037415; 497845467; 433487125; 651572792; 973982568; 296452287; 228844685; 131477654; 357424564; 730354800; 630195333; 754360083; 16227591; 948081521; 669733316; 912363872; 371536323; 529616051; 567860314; 630773073; 42020941; 51331575; 661883160; 405689644; 757104276; 936191619; 174639181; 349379697; 180326118; 171704107; 317250396; 922453293; 760434220; 475922086; 519988152; 295686379; 31840779; 831298263; 521700720; 521797454; 426961375; 854470982; 174593506; 836973878; 312393307; 148785753; 79419581; 19007546; 85226210; 219957737; 489842246; 469513111; 721906484; 49527374; 357363208; 956734774; 110052547; 150959932; 189994078; 609039572; 599003192; 989958109; 30925686; 800802157; 185859775; 321213562; 602033559; 389868903; 431075169; 537173725; 449838380; 170442817; 796979111; 356179943; 611627587; 153371652; 520944237; 332861073; 561736410; 817316416; 951051472; 791384198; 261432782; 44076330; 96816940; 986417000; 813922097; 20961109; 617167673; 607105342; 461653930; 170343661; 257252153; 670629417; 886951042; 12917248; 818205444; 156063133; 406238560; 320867415; 71357299; 127187924; 609181387; 104849144; 81351081; 822164287; 904314075; 26015789; 544027523; 600749801; 920984606; 883705090; 596416338; 513963497; 669582659; 700403188; 724491114; 901919277; 309716827; 449433155; 120280168; 467306612; 544882858; 652327775; 144824046; 406886819; 205802625; 979579082; 382194864; 999753055; 920521563; 846699203; 451548810; 990163744; 387166495; 439669122; 616544434; 956717071; 149689664; 555995616; 274816282; 434706588; 1924594; 855314471; 931822042; 61686979; 608468214; 768879056; 513829875; 818900641; 184992235; 323772776; 130705760; 93546202; 955335407; 417823390; 423260360; 24782857; 626618467; 9481036; 37301703; 45976603; 283588902; 485829787; 371404534; 540414045; 644500988; 30438653; 669998808; 844037117; 285191057; 772038769; 395379111; 191604087; 906340478; 794151717; 133324820; 414015116; 67516248; 84078088; 156993471; 41073301; 297957752; 395996177; 64195968; 992538422; 998904557; 502632869; 726863076; 889769404; 495778311; 561587012; 186141106; 532307425; 514673080; 950183413; 914704028; 85189078; 818016864; 876499127; 225703133; 222535040; 116629799; 641344937; 692079169; 902419141; 905395273; 309769426; 255570681; 734878586; 578485887; 551792849; 500391943; 576745940; 26767566; 686612305; 905608791; 171154379; 695487816; 501020275; 901867102; 107836585; 123326863; 372518962; 825875876; 268224608; 669062310; 53668623; 243026546; 586658149; 812725612; 162686727; 479697440; 497400754; 807608597; 432008500; 483846438; 473357194; 937755014; 260105609; 33350561; 179203012; 73729957; 212780648; 781095053; 777963203; 834635959; 494391036; 493720201; 407855562; 800451918; 649187896; 412115489; 495522090; 110403133; 787901656; 433678553; 981499613; 386016252; 837357010; 797119729; 557126491; 917643367; 492481659; 233081207; 478678828; 444774571; 661169354; 151809840; 11481167; 739448672; 932542223; 959838404; 298527082; 64014903; 747676461; 165701950; 385562095; 202473446; 334403949; 48553453; 189169951; 159834683; 134786209; 308356525; 595759928; 548242528; 551613783; 949871152; 174313239; 688364113; 925854149; 247796986; 530331679; 809182353; 718277860; 292661810; 554631667; 497799991; 268375708; 478591593; 827049698; 629913496; 424812248; 272810406; 956038971; 929745609; 68608368; 260691378; 294640610; 127404513; 70529183; 588961419; 198393731; 156527987; 951833719; 112340978; 309797205; 583838670; 678991122; 391726602; 799964357; 457044742; 361572151; 849508906; 931097422; 855871296; 248907772; 639137612; 89471532; 988442296; 248998454; 763452733; 374730264; 571923166; 157102687; 777175198; 447922102; 717456192; 277400508; 879039323; 452341032; 699247581; 489088179; 421035324; 17005101; 388046553; 25604850; 265164331; 401849145; 827138871; 834271654; 936073639; 480002944; 995703263; 8504080; 264129903; 633760524; 537390725; 797156220; 632996269; 436701757; 358128439; 3336327; 247841830; 825774156; 996158263; 406534736; 896789696; 861888927; 910781247; 228147041; 188755023; 170858474; 575890612; 876924726; 635569952; 371594568; 453828190; 195873903; 456658132; 114108647; 777723991; 458093745; 972589093; 32443540; 203519365; 468080374; 236739055; 157275081; 49441879; 812330322; 185596365; 778185102; 848631548; 194239016; 469350758; 109717324; 313025770; 325758907; 994315040; 580628816; 393257624; 156495859; 342723483; 368531795; 360467181; 86728322; 252402366; 168236836; 374297013; 363296806; 290448397; 186042173; 476450658; 937634492; 647193210; 781710475; 60810568; 259687788; 505673796; 668268833; 472533482; 89608398; 921551218; 756448396; 790064506; 580689620; 675872520; 31432472; 849400480; 335006311; 501224443; 221646518; 201418938; 868098219; 811115218; 27571990; 815866342; 598338998; 666597462; 786214986; 291885590; 715493094; 323456648; 8254352; 341235214; 93236893; 480577866; 586865123; 278484670; 24469285; 408982217; 690814524; 748461779; 254358555; 858934605; 849429481; 296566366; 814107112; 202515008; 558588562; 54538395; 461430460; 538694509; 795677044; 536131557; 539962161; 323907420; 649389490; 57450621; 247697237; 291236662; 818621915; 195676541; 401171861; 762449176; 96353306; 439936771; 972210535; 846754802; 707560993; 146696799; 744256508; 218435506; 655103999; 447134057; 5616733; 251014568; 396335859; 31388980; 948209543; 235355131; 100961605; 822740043; 401247194; 667866867; 386510435; 892882870; 345305018; 852891129; 632538359; 173259021; 487306676; 614856744; 555684926; 757261435; 601854766; 193904732; 965949720; 387458727; 754827659; 611589519; 420410326; 231888335; 611743091; 902493750; 346334470; 177261935; 159417873; 349652055; 638066598; 622879749; 490662967; 208779426; 419620167; 306412423; 90735735; 243752085; 397676505; 165691738; 434262156; 163200640; 86481356; 431590688; 64693798; 926465645; 739406510; 725697397; 73468804; 379476313; 148613993; 398334749; 898539090; 470336658; 721463758; 840913860; 68908954; 417575153; 687334748; 877362470; 700250120; 554016101; 578495879; 553696399; 843604342; 794195738; 30842153; 588374935; 738872270; 667307269; 784486568; 173386641; 72527260; 370614996; 277600446; 208045213; 405952359; 485479526; 852221974; 780315249; 404510283; 766775967; 438422825; 2365062; 459879918; 282654263; 157683186; 740913400; 124078446; 323872637; 425664895; 812446063; 117542318; 799332912; 630474073; 173204533; 533086719; 253930303; 86569696; 630480803; 70383093; 323666621; 575563281; 260001160; 710760995; 734475403; 368004315; 759378295; 89279208; 459003404; 891807133; 267918696; 655087854; 261306290; 853280523; 480544723; 374896896; 135246298; 342316704; 413391827; 628153912; 476315109; 786915659; 25313174; 229859414; 652276106; 119977372; 305292978; 257733158; 323241548; 354359230; 905718995; 36696034; 320452589; 214737142; 723813129; 835765397; 311161856; 393181904; 133342379; 75270716; 757946703; 459515609; 391871860; 760447350; 16189455; 898708933; 122572472; 496198641; 458305011; 838443468; 357311736; 749741379; 928394688; 750330296; 623411919; 607752334; 296084682; 160996197; 626820453; 551867962; 964074023; 849487731; 738233725; 54482006; 727864924; 909193462; 504453630; 679839480; 828674858; 875509731; 658590320; 851878237; 758673077; 519331475; 93082583; 791699654; 83691918; 253100146; 636608370; 428376683; 337782236; 614515663; 672403031; 109297967; 664463221; 194865697; 856550541; 731942663; 558457824; 11830971; 236850022; 773793235; 133280664; 107849999; 569615448; 791977698; 718085871; 302430232; 161820627; 27333912; 271820109; 919442657; 520578049; 299263574; 4801556; 39101015; 56110438; 51780648; 97448798; 147135118; 339259448; 276745309; 368567496; 794736270; 352388292; 943852324; 747754412; 931233430; 651599690; 524659056; 722253733; 543186350; 598793922; 8490559; 729423802; 665858987; 319183663; 393747593; 465307462; 919617379; 601263789; 480631625; 110221039; 252058252; 307882698; 853372378; 748904471; 93308923; 221782720; 917781589; 376008529; 203307819; 986592510; 600223457; 190185980; 799013245; 59494647; 669563232; 448129144; 993321297; 51582990; 721198065; 246669399; 747568553; 604147123; 110046095; 915993007; 314947945; 861603552; 314707380; 496671780; 425386397; 611147879; 852897556; 889005988; 858344277; 562569159; 552799456; 660550061; 29313576; 711296561; 890932504; 91466822; 379031077; 83253269; 230746154; 584557418; 13176714; 455441041; 239966369; 429460142; 995070743; 22437574; 688178934; 903567531; 907273557; 90604471; 912768902; 722745151; 253712351; 53427968; 357074994; 802672909; 933713351; 802383404; 493912461; 945108850; 129058817; 611485277; 169588239; 266972681; 255851257; 965679762; 983966906; 572600402; 528634368; 761532145; 420431195; 883570296; 666729528; 114854646; 536571179; 450842242; 941093580; 844053229; 971568520; 139419926; 549066863; 663300476; 402748502; 124629627; 343982686; 567646713; 731847475; 861758921; 383389892; 562266145; 15173795; 282042183; 230061430; 723117763; 363592744; 96856562; 411423161; 617301715; 153403644; 15231246; 683415115; 109789710; 666935794; 215240187; 730564107; 964863935; 839908261; 803930750; 964805854; 58042719; 914599265; 167435821; 111536110; 838949971; 167381372; 686119133; 378989517; 417711977; 884545714; 367003724; 328449824; 240640549; 361861935; 506572917; 293773783; 347765439; 329107036; 115582443; 109804752; 115171005; 33720278; 142622766; 694002808; 874608597; 394593297; 301154944; 529313752; 993714937; 648830024; 332611827; 182800107; 722186551; 435138590; 764124312; 447147075; 79607127; 412468713; 212696415; 122929866; 679997285; 720706618; 374997461; 378005901; 557795638; 504318385; 849399175; 184125608; 282666859; 471666248; 962619182; 477238697; 760618348; 323127896; 756643916; 102728692; 737327550; 810404463; 657937982; 319602728; 116602518; 948219808; 729972538; 982931107; 566016684; 340926439; 667746868; 990885525; 253186854; 157774077; 931261376; 782648584; 262853232; 334468537; 350539912; 534281651; 627121030; 220191225; 41687950; 104711697; 488746840; 498095407; 905070111; 904326056; 393297086; 245254104; 246244793; 519066514; 630917652; 373369441; 93169445; 60362580; 973529823; 441711045; 159636073; 638456206; 586092699; 575367628; 249793959; 965615194; 853066739; 632321343; 289924109; 633987907; 818877835; 83665914; 760260918; 306574444; 63882364; 211418905; 489154740; 826197635; 418233471; 476500642; 935229877; 143266509; 405910611; 276064312; 978903931; 217312482; 436365527; 79266812; 165988795; 979829371; 654266058; 42749456; 304075964; 556582024; 482185495; 996898690; 569635832; 570723803; 361749979; 686019855; 801568169; 424046104; 69907726; 735984366; 692220419; 755393179; 386925081; 38523033; 659261357; 472482945; 115185045; 90958023; 813265491; 581099216; 639385341; 298244941; 572061272; 198896360; 354616368; 220480893; 814905826; 86578118; 4856655; 952062387; 999679249; 765175844; 17177664; 152652282; 92874975; 172966527; 533659557; 196464533; 666813208; 907863360; 574853804; 424152949; 275718304; 574177751; 953510205; 413690639; 989791011; 322130896; 496959492; 337917088; 894090511; 47923190; 424259943; 747643809; 324500706; 325942642; 757363208; 546422640; 63290649; 173755257; 559881377; 244840797; 30604778; 825859046; 362943682; 388766975; 420245226; 657436367; 364418116; 480311315; 254422730; 912758732; 199294939; 391938490; 109957960; 331749764; 840578261; 279462113; 598821039; 619248248; 767469030; 241033965; 967464977; 41579992; 975250264; 583448915; 23202633; 449395286; 160902450; 974314752; 846711778; 248558489; 226487850; 337047108; 215184850; 659421640; 401446837; 146768080; 534833697; 549587699; 997838975; 578861344; 197858289; 480727753; 995551763; 322650977; 971741014; 755001023; 201458934; 328806615; 631831501; 664451073; 672748934; 232830225; 128771853; 851944187; 485157521; 967744679; 40430741; 639291521; 630443091; 177724000; 277761929; 191722318; 505147193; 198946729; 141402472; 832398633; 527178616; 92380440; 613108822; 662421624; 790637212; 227485101; 295907866; 713931772; 552270281; 811566946; 284378539; 142854970; 507546074; 284240786; 550281467; 694706565; 868546458; 528567853; 874582535; 28677643; 340486485; 722950566; 643434399; 151200704; 834123096; 810561891; 114920098; 864710911; 162657436; 164566062; 797576586; 281785639; 747264524; 585112173; 354890963; 63487789; 666912142; 684735160; 835655543; 221565647; 945081758; 537583104; 58467591; 533393285; 373937724; 106072202; 875676168; 690387905; 811376241; 777190141; 659364489; 412134714; 793074028; 374157065; 210752890; 570999413; 495150125; 424319408; 781064738; 76833071; 702409455; 154325053; 233193189; 71192768; 790492665; 279226868; 836380957; 5143184; 835996497; 476789215; 237092719; 742682985; 394198343; 120369276; 335413082; 179016836; 965999255; 678108625; 109735336; 900174654; 167614707; 365268944; 390655378; 571300807; 790518145; 398116329; 793151366; 136837804; 2539670; 147341650; 416562993; 44864510; 131744850; 267558041; 674367660; 898168501; 157494938; 581623540; 249079800; 273858269; 417273889; 625227462; 353089; 857770395; 726937797; 216741989; 238832234; 436968130; 407604164; 122463840; 482116536; 483602711; 404656743; 323952971; 481005288; 496385340; 979183065; 861894618; 995458091; 970649044; 275662331; 983886550; 41320826; 342811871; 427044739; 577265462; 410945687; 532312653; 770968055; 490244567; 794443441; 826358894; 345609561; 635292190; 713870317; 499001760; 579501478; 638104456; 341564774; 633034598; 752855151; 85678095; 529588502; 10100856; 309648888; 725387929; 336870946; 94914952; 304249472; 211889663; 560024652; 454470939; 745570773; 534534199; 945861577; 187721572; 257954248; 165249373; 195168303; 606995773; 575495870; 814430519; 273645864; 516094514; 525442448; 701695942; 498009464; 405380689; 999063644; 877400182; 140525674; 6116395; 410137941; 926971301; 510607761; 531659697; 149457004; 826394210; 264927657; 604135198; 161267176; 683083843; 603701197; 907249112; 920610534; 306211601; 325474087; 678061948; 483330124; 613940116; 357458639; 985490872; 647893622; 513796557; 987888572; 477563751; 392956387; 864785345; 110883112; 494320592; 327601745; 33436060; 760757415; 36183590; 461786416; 11824510; 897802472; 911992973; 228262802; 478354186; 48744581; 501092903; 57546371; 878976262; 199405253; 262487868; 806299246; 485919334; 748092042; 245997320; 638973030; 981681293; 816162859; 561979040; 223198165; 723279015; 996147735; 200535839; 645811325; 881492637; 205874295; 732100467; 608737003; 127922269; 933548219; 527307475; 222015059; 454609427; 535657962; 142679965; 454466340; 739343317; 795715177; 872398393; 356088380; 368303084; 696883524; 911196989; 520359986; 566307915; 586804794; 706497836; 874759310; 194658946; 210324286; 938463865; 418483162; 850381310; 293764716; 135066259; 899007020; 985807408; 269025459; 937837609; 762588544; 81379959; 756439941; 263900159; 25354017; 878839173; 976323072; 559111453; 803064739; 413216585; 197622124; 484867221; 137564193; 52563777; 901359495; 462455561; 971517174; 335661816; 828351707; 804670910; 714673714; 505229740; 241061348; 465895190; 374455211; 440322140; 585459569; 193811358; 423168760; 616930952; 29633798; 337470654; 469838703; 600181295; 157268165; 902319721; 364327090; 571596292; 729321032; 137182769; 940349493; 312124088; 717873887; 759584487; 174928910; 459751429; 284836863; 660153341; 402502185; 718989633; 304090911; 388129052; 553952937; 987503338; 117236730; 192051963; 256595971; 918154677; 608611011; 347168386; 955704595; 824710280; 276670098; 476282714; 660446618; 494853790; 327045619; 235541121; 490738199; 576876767; 97793294; 33138323; 866595552; 273824802; 895058905; 716463359; 862169038; 985758238; 312354863; 747915281; 91788771; 933204631; 17231173; 753994836; 288591600; 247807724; 511578078; 224093151; 903932302; 142576964; 907250457; 790494300; 569351541; 210649965; 174955459; 841344060; 342196597; 498596929; 469907766; 333100332; 765755906; 39944125; 501541950; 242082036; 631996322; 721872045; 602511069; 807489048; 932539475; 658007438; 842895932; 144365086; 641654969; 814353546; 493788602; 69524031; 43692549; 602613862; 251333769; 416630186; 401530146; 494413731; 632246965; 778168788; 563663822; 536143137; 232964164; 40704988; 577588069; 574158631; 355056844; 658465557; 866873042; 544064421; 156834494; 432510854; 211764753; 697423177; 221304505; 249870172; 487919191; 306717309; 352776278; 286854543; 112222299; 7678598; 962738115; 763662429; 592517888; 744245611; 927649239; 949403202; 914001446; 958261884; 667800976; 143443008; 843388369; 513656859; 699608003; 806214488; 98923696; 662724546; 700463092; 452472977; 36915907; 244942945; 554941631; 103236428; 939879187; 858696270; 347292830; 940043604; 585234113; 696979934; 5028311; 569948107; 155267758; 529287685; 338440333; 924120993; 167535435; 922211684; 288998382; 836954318; 797236629; 188948750; 766600862; 737750890; 624708519; 92443897; 969216546; 48858999; 949185252; 901755060; 721072478; 435306888; 307731289; 225062143; 312258464; 459195177; 38939143; 313806817; 209034837; 819052713; 784890227; 141083609; 678630054; 954448092; 73234506; 887917544; 597204429; 478052826; 273287481; 101191426; 364897194; 183627390; 110499547; 787366545; 60270623; 215616221; 288587541; 69755785; 591889681; 721710022; 474308352; 671655590; 576798588; 234762207; 96625968; 340445625; 630413609; 162212395; 703744310; 416201914; 715820575; 586037474; 261936697; 600386023; 815367015; 20243328; 481933621; 708889533; 515033833; 487788901; 277751327; 191888497; 339866473; 762888236; 895312917; 802821383; 224401700; 394955007; 475106538; 230040019; 416061000; 927990313; 201367556; 179189955; 538699097; 658186008; 454890854; 260467976; 60625401; 116745592; 17997513; 950099718; 417547913; 437758919; 492965688; 560065527; 806777321; 435825907; 916345026; 239518910; 894430644; 523734298; 869617410; 187234156; 129793708; 691746626; 562938162; 645709093; 452641932; 840341683; 666906824; 702964060; 759976506; 177978132; 983387243; 820661967; 239886706; 689033607; 928818317; 511201727; 203160376; 474274569; 228160881; 831176496; 931932301; 345935567; 378177276; 13174572; 218757031; 233842305; 706313317; 977540191; 801899578; 150980316; 856493202; 633536251; 661130236; 616993517; 553355039; 924548554; 411061749; 510990859; 694808223; 39385891; 940517284; 620438054; 282950474; 858920540; 497910454; 550393908; 319960062; 980797171; 381359553; 136069775; 179414143; 480821233; 392796781; 636368406; 942564317; 539943987; 44099157; 243761740; 424812652; 151864445; 927134333; 271921299; 968340300; 454296805; 121666590; 496124853; 420442184; 77065870; 658623634; 271385210; 858709383; 180223597; 285229390; 129081555; 514001627; 88921492; 177260463; 27211200; 806007861; 981988127; 719913879; 810402582; 32292516; 852386845; 684707854; 760457669; 905112294; 776673992; 338539687; 759580947; 745798909; 289126224; 268362470; 930223510; 584991974; 664511688; 664596757; 723722168; 739522285; 128422668; 404198898; 591480380; 2880542; 119425937; 323628766; 445596392; 337461989; 355477886; 487660129; 839656705; 285008179; 557856358; 767310535; 851729006; 141128288; 809353827; 781131834; 537360544; 244268598; 856795748; 319278387; 978893083; 61029908; 224189090; 109978629; 307991966; 104220720; 739006549; 621869907; 588814043; 810126001; 35628041; 493641954; 133127634; 671678650; 536373032; 184428139; 173928902; 252037154; 339153114; 896957731; 615249212; 726699021; 587583945; 117743722; 746897794; 146246663; 160056113; 276634470; 851717117; 618851; 98652353; 77493932; 516504581; 94112448; 677966037; 978442920; 917221487; 228593946; 386184340; 118443591; 375593961; 957961311; 1437858; 740036311; 583476035; 50699495; 230387452; 12515103; 24706690; 396537374; 303411603; 716178286; 349925975; 456919213; 99111026; 960903580; 443505518; 185957043; 991773047; 310477902; 907271083; 15505633; 372369036; 838405592; 862919932; 186225874; 46331009; 897513637; 568915175; 325776551; 858724419; 535905283; 773447142; 37705172; 287977969; 751000538; 567983078; 487950801; 422159659; 424650368; 640043773; 538881721; 269721246; 261224664; 677888488; 491855487; 412243291; 270202924; 558039042; 864475926; 784879337; 993215045; 913884277; 836038613; 707237122; 925524276; 186799349; 47619720; 366946396; 291401517; 684287779; 725367828; 731742623; 82243475; 205424073; 359622053; 148553983; 936464576; 1098689; 380716709; 378033389; 584600222; 396683529; 985411268; 854102224; 641087499; 36635607; 669942704; 117497428; 443843639; 699630270; 20303357; 605384525; 936333738; 319613328; 216796463; 71243985; 59200569; 325823903; 244079104; 94208773; 130883823; 805617115; 53964385; 368589820; 651526398; 610501991; 681619336; 181734832; 416436383; 915878567; 874044478; 729702324; 787210389; 511660626; 466465683; 113886202; 397586408; 797531776; 648208849; 728774458; 374298099; 85852925; 638734278; 750819466; 200121723; 807606499; 238006541; 749238872; 136182526; 763232831; 267391200; 270134859; 340087546; 565118491; 884455051; 833739397; 100418947; 817002980; 474533047; 676434764; 267917440; 703437346; 703467485; 308875632; 132849841; 637936875; 14181357; 29987693; 180663210; 608355256; 237449539; 83531966; 298073011; 525757374; 604600660; 476953818; 147204796; 309967479; 826587509; 9086469; 984511323; 721871330; 906842313; 809650448; 609996470; 36990439; 803739209; 512837785; 415887381; 900783914; 358684257; 514751889; 183209872; 21234562; 385660424; 480144446; 558064465; 510778989; 174792593; 264334668; 856458220; 935049673; 443915509; 951866318; 664583058; 744511156; 847910721; 824484073; 330715796; 923758850; 55828758; 108607391; 839835935; 925367290; 411251887; 55210749; 440041103; 989524270; 888501194; 625274090; 316082839; 46972852; 434252517; 898248640; 700684603; 885228564; 368694975; 121045111; 777125535; 898111360; 692743907; 448928843; 768007627; 348005504; 887334858; 936415761; 339272225; 535158982; 956689663; 780509769; 808034045; 499737629; 892827683; 488180082; 555374544; 496153914; 654375306; 48295924; 156417973; 455910670; 530273261; 590002094; 875016621; 927281809; 517893901; 601780039; 296517546; 768006117; 748775812; 875267429; 896470491; 93185076; 722494489; 653128012; 340280627; 705861341; 977478912; 512912195; 726075690; 571018123; 645744775; 350822496; 749410761; 610472518; 851631353; 138631445; 333581651; 850443766; 198372728; 344790137; 604446814; 65710161; 417134049; 750033273; 37139437; 44176111; 981815447; 302324743; 220372398; 875964815; 582566028; 966643287; 373080434; 939211651; 736334842; 40949669; 302487963; 624056101; 404109380; 539118036; 855270666; 341220053; 411211944; 634489140; 723842173; 727441754; 313747582; 857389241; 313742185; 105577620; 267064832; 907743407; 565542217; 522338688; 990157842; 949504855; 401282858; 68463666; 355543899; 649978993; 256137682; 825723459; 803158935; 912416932; 863092670; 789926902; 225427715; 501547264; 468644318; 165539390; 217358812; 824820456; 944572216; 212174546; 89493573; 462367199; 491164930; 301848559; 787231084; 650722612; 46049897; 352007546; 852788767; 340276454; 943637168; 864666873; 556910286; 956013133; 217531078; 980394246; 166473930; 281393931; 945519808; 885157041; 11861436; 134575889; 626526530; 778240402; 775207440; 328132011; 829723298; 23066448; 205253267; 698082411; 492404285; 160369868; 354817921; 814598522; 381584360; 465639554; 289902284; 744489193; 338181246; 719767604; 573314583; 337021764; 463563487; 90784936; 895513103; 58409912; 469135882; 323784003; 542359488; 971972260; 218262155; 564512939; 752878007; 143002295; 960071148; 860418237; 349016289; 4388370; 162147717; 684784604; 489860987; 102599577; 437727979; 457568935; 955121200; 588419436; 259141549; 332716; 492587822; 747979184; 318665488; 228987526; 105236998; 197231672; 351617291; 959259748; 741403502; 176502269; 952156011; 406554277; 252476480; 944904677; 101267021; 786336679; 674562742; 242784304; 495116047; 361367816; 220689501; 218253452; 246101813; 749345920; 722397722; 160811903; 57292793; 961934566; 882084260; 663082460; 390016552; 520002104; 102410022; 41742954; 696768254; 910099074; 874563218; 840237424; 131929166; 905105487; 331480514; 558121571; 768482517; 873071426; 682799516; 534008870; 827714146; 778494456; 386017605; 551372532; 869503131; 857592387; 435976563; 191474826; 325193834; 727787966; 107651600; 125561084; 410777474; 352104142; 155392630; 649671596; 307278536; 391888965; 177006913; 641932381; 869943628; 711973151; 430627776; 404986977; 953659476; 970691398; 178723365; 192311034; 273563836; 208253301; 292329925; 489761656; 278992191; 654909761; 579258214; 174499229; 163210971; 593375104; 190773194; 517849999; 99289257; 99554951; 789211939; 596446657; 411365930; 810029279; 893545475; 642714048; 562240688; 46094743; 444755263; 670176910; 413725557; 463480103; 675096037; 23503169; 397331272; 685443593; 959348099; 749922846; 676184779; 60719168; 749776462; 438640896; 842372063; 59780326; 216878392; 559099556; 57686034; 579811283; 871270469; 153792519; 728608349; 847838722; 90384765; 137080005; 909918201; 751077056; 463733752; 578966937; 585238055; 577733505; 544320334; 361305552; 694017685; 133370459; 63628776; 872376524; 199436454; 374551570; 995038692; 721458493; 97167871; 860484640; 65875618; 179314841; 735934376; 700590851; 748312149; 350381457; 547964540; 928059089; 663485746; 322264125; 655780519; 530546490; 676706629; 415900114; 978103944; 894413333; 754129870; 630545791; 137277236; 224575865; 939767623; 146259623; 770831093; 124553480; 250846928; 168498993; 289498760; 808858396; 525490268; 667423982; 540916603; 878556124; 272992855; 399306120; 780183434; 564400665; 635207512; 457397568; 825185501; 336044533; 24094228; 142907410; 495139219; 356888061; 762350606; 477917408; 287806547; 603146684; 134421804; 519386883; 865023624; 599093449; 485941259; 937602395; 639963617; 407313449; 526201982; 905458846; 714280305; 382910159; 701535498; 235518093; 262234797; 205882687; 408110777; 994079112; 268592694; 922248037; 152484289; 718986420; 662557311; 113842057; 708094944; 408296353; 713453993; 931022751; 299418649; 475853067; 599215234; 39094516; 907485430; 964850332; 531148951; 107476550; 713948; 324605075; 575937511; 351999867; 214887437; 66804314; 747910483; 77242871; 652108904; 293267893; 34246068; 524538259; 336737201; 324679467; 712557086; 289843069; 249106249; 143409680; 160223741; 554086317; 352030842; 298888363; 30968832; 541330494; 884073790; 190008059; 71057448; 318224772; 68901930; 889425019; 449147331; 901243108; 330166455; 872589082; 229424621; 82421970; 359634740; 67604175; 974159378; 718461121; 713542274; 910459307; 481834314; 218763014; 380436427; 745582726; 198306429; 823161367; 14000382; 988303330; 408122013; 706349653; 693156952; 540730052; 330255645; 645321969; 27150520; 364044782; 639327587; 726268997; 937275097; 241349772; 92200588; 478846801; 468988235; 461762776; 496769421; 449163284; 142632762; 487237244; 651858511; 940515597; 824962912; 346141149; 226917770; 713714141; 481004676; 987922215; 959343724; 993680820; 810986829; 168275603; 34399705; 231433982; 184479858; 440253733; 54476505; 986559477; 392936445; 875455030; 439209845; 828368642; 461734359; 442892213; 568602268; 524108624; 811642473; 350689815; 847266071; 730289534; 870925457; 410586674; 33199834; 967726298; 829979267; 887232351; 118027885; 762829429; 723512770; 538296655; 88253348; 335879847; 2904090; 163633211; 898306117; 716694484; 237441244; 46939906; 19002488; 767676875; 894352157; 726064836; 845561095; 739253713; 521959008; 964127762; 30037020; 960205677; 121961735; 831593954; 274453232; 501778405; 417797251; 59176691; 551219661; 393084728; 329899986; 591596330; 839363476; 480377495; 984783759; 409181085; 923753053; 820210959; 624500746; 931096459; 767275910; 13900732; 615821497; 891118019; 125870491; 338627450; 586916442; 292703732; 177864296; 574733295; 224925888; 408706746; 946450900; 30302846; 683231539; 546480227; 83410541; 681778989; 955482500; 9949245; 620565845; 790120007; 264818989; 357524417; 351392217; 475927471; 175949331; 641148282; 149275188; 61408659; 461881854; 837951554; 833974139; 756855876; 109414169; 540622198; 319549229; 530860266; 586462305; 706067535; 921964648; 940788567; 456125081; 972250045; 109740609; 933157941; 888055385; 267279281; 116395324; 478657743; 504110404; 870196436; 711470277; 871972143; 932163534; 125115940; 751204948; 286963619; 975953504; 72550255; 363331558; 973500155; 330419827; 941886585; 168342153; 692384075; 465908886; 534005141; 531557978; 135795459; 834935616; 852657115; 570093057; 945000636; 964041726; 86957005; 215333323; 502949469; 278809539; 483753449; 191775788; 174024362; 803642703; 556352449; 706224631; 687745682; 647471363; 135165561; 10300062; 637784478; 405218651; 88629630; 540991074; 100530980; 153195331; 181675261; 435553101; 58872767; 729092778; 125103468; 353681232; 676080438; 932831209; 90416428; 553061406; 37226913; 610905049; 571867088; 602383310; 376483950; 300925946; 608111340; 883827204; 67846577; 61989463; 389922849; 58292967; 50785801; 447899096; 407449350; 395843881; 200964428; 253932131; 616563449; 106496432; 336243655; 993373574; 720142491; 178236831; 957784024; 932538121; 101107948; 747299417; 421576476; 471781264; 304187784; 580184990; 288751535; 573724510; 911887168; 267041855; 767926434; 250851337; 405205435; 742957197; 391701462; 402483860; 462692538; 452388646; 312373999; 347046570; 863315058; 142110637; 235438954; 405151476; 831334205; 212159633; 983880992; 353832172; 431554988; 993957909; 347861913; 654506818; 336083146; 113742922; 965094514; 263867673; 463436495; 511167182; 609526674; 941119117; 958864833; 340167656; 750867109; 974219699; 785418281; 225935008; 18172388; 550556558; 188053919; 475572540; 426371017; 965656491; 902347847; 576445396; 358080328; 774920485; 417680488; 555672160; 368092074; 366610396; 331668181; 805133077; 191427328; 957453885; 320686945; 995201927; 900098043; 367240786; 923485763; 430449133; 419823767; 164938893; 355234076; 108593712; 342205853; 302838566; 886662788; 149914307; 838689790; 6899306; 851014611; 49205671; 483660648; 173669724; 430043838; 93501684; 744091571; 402832286; 560567723; 792191645; 704538967; 501874340; 581374908; 728695650; 637749076; 775088276; 315371698; 63971611; 299287553; 307149752; 971765536; 469903501; 346391566; 692022360; 244730485; 87149859; 625233445; 690585636; 469853641; 263166006; 459947842; 130628479; 146429460; 550122791; 530608340; 789611608; 117052679; 171107747; 460212768; 763920950; 102954561; 373837879; 869959149; 692467097; 130818409; 261313152; 270886613; 824403371; 418505102; 859730620; 376441024; 30257350; 436252459; 358258915; 629362375; 36932783; 917038458; 483479565; 556484004; 652638016; 71921896; 113608835; 378526933; 405698028; 930125746; 390241864; 553178507; 920726356; 872872366; 106752417; 848516696; 299734955; 217130551; 442452874; 49691590; 968175512; 730262413; 732039187; 318911413; 653642455; 783363403; 415268734; 615422435; 740586116; 724762423; 691071301; 205120761; 534659341; 304312622; 66276133; 641902157; 557406376; 808832859; 622939599; 936532125; 154870070; 327649878; 369793333; 682350487; 642897774; 512279602; 285961092; 445114343; 619383768; 610714514; 993079477; 204526851; 824765407; 695517898; 645463052; 354616501; 770438849; 236149706; 916366240; 111777913; 434882424; 838251761; 687492370; 216625131; 730287997; 92069042; 363606817; 676695197; 617227839; 840521104; 977833451; 541879416; 94667487; 923403815; 95115045; 816604230; 921843085; 222012565; 367746625; 859798472; 953618058; 127948713; 915646585; 539083065; 553232558; 209406499; 692954101; 876193409; 12702356; 333191596; 921084609; 350520341; 643157091; 614128065; 381820500; 347552043; 32844668; 301794311; 903403585; 984188097; 766973235; 938947910; 48330723; 791034474; 519321054; 304666504; 290021274; 697834580; 871666023; 52038838; 935928833; 481315149; 437846568; 269532320; 932265961; 115832901; 452960498; 143333103; 980419399; 319023901; 481512157; 472534023; 642370669; 135073111; 36986179; 444704594; 859586185; 103737554; 360338761; 973833557; 299246165; 36182655; 55550106; 682305996; 390655950; 9346371; 761993235; 760784308; 666058985; 593787872; 947944942; 642890446; 326862692; 135459953; 255358261; 743987019; 592825969; 165143041; 380732297; 897121981; 193511364; 914042875; 113303771; 707876468; 611999702; 747503991; 315020105; 718190068; 559368988; 394054521; 887972607; 294122383; 280878529; 719831019; 818528577; 119676512; 300293568; 834117428; 471323286; 72243326; 573539621; 232962336; 496398255; 419895290; 608304925; 103904243; 656411364; 254897755; 246933793; 483720377; 784422670; 142155089; 149656113; 391069583; 376169958; 152100808; 694805519; 334346360; 854314170; 155012609; 719519820; 515298325; 627127627; 505886089; 338407543; 30325757; 950190995; 509305783; 796110423; 746972285; 609249120; 91942846; 95470451; 821395913; 508743746; 980516336; 884723944; 999592596; 280045901; 475045621; 27782304; 285162738; 99843273; 91798488; 994791734; 522648305; 2091167; 288416071; 212747442; 348353112; 960004467; 723209777; 282519702; 196159760; 975425382; 223626142; 720525367; 471983063; 512977026; 230023446; 992480709; 513456072; 496617754; 875333342; 525927045; 723163386; 487201443; 531737172; 649154727; 396311326; 903871828; 347392116; 8779206; 496748095; 278273546; 585448909; 103331224; 64390248; 618856147; 944554705; 288260705; 797042585; 634923394; 629311785; 746780830; 332922245; 89164883; 342246264; 152138281; 220241908; 69306352; 441285871; 583782110; 664583895; 132544023; 402828425; 384069007; 822418413; 447790230; 647632152; 674888133; 383487471; 683273470; 382263639; 118452292; 583584334; 46995171; 79923725; 119114783; 480764150; 166523257; 679815895; 759519630; 66650446; 574630944; 475038918; 830659756; 214906641; 947721513; 875895129; 776702842; 198625247; 890461317; 986592550; 595987024; 819564196; 84029497; 855139209; 192219946; 566168710; 343155858; 247884967; 157402139; 114261532; 75269476; 177317304; 661191748; 838053628; 362043788; 254087181; 266697393; 683386967; 563801051; 445172833; 507277809; 631959431; 7832234; 437494326; 41699744; 8429419; 775159428; 853798499; 95240338; 936590705; 932603036; 840289958; 109081437; 66990917; 158206518; 862673170; 811571724; 766373911; 210439510; 161187506; 546809864; 968493540; 300490507; 411385066; 482189639; 130536611; 469841880; 736816813; 674234620; 227959297; 737118462; 223640052; 740242495; 285141256; 225903761; 415126490; 202609566; 162951567; 370947887; 408428060; 558693280; 462733663; 721559283; 707420434; 376916167; 522655906; 637303809; 981038803; 877096772; 117209946; 191212390; 190233199; 965322968; 832996349; 264605963; 320960512; 261980192; 76721305; 282926215; 762913098; 59024430; 675712067; 292530078; 639448741; 780461154; 17799743; 478769669; 332785694; 474152255; 312867677; 755954873; 904072508; 307677182; 879413159; 691077253; 700688768; 847137441; 603362041; 920121916; 441249037; 258454613; 59719194; 665319296; 175276771; 314848168; 418676214; 398298773; 722256430; 354395239; 507880640; 884321085; 104468848; 102755235; 38886682; 417693225; 895789464; 474622134; 48418158; 815870536; 17850671; 570616522; 953636294; 374986785; 902856132; 883668784; 255039593; 219007321; 270192034; 471651372; 875303409; 812689410; 403991984; 71836709; 992410402; 563518033; 156428456; 51828467; 941702580; 207006561; 529209102; 542008523; 991799747; 643664599; 43846765; 96603475; 83983597; 896220491; 572160064; 680915426; 604365054; 466758993; 593530461; 478428327; 433245446; 36462308; 993296111; 775109977; 929577560; 40806593; 90816121; 455915738; 465019986; 394100358; 371546494; 815092541; 168098707; 942733065; 694450779; 355310759; 162903280; 504057120; 244996046; 475819319; 816147936; 239275918; 917935884; 897366406; 702681770; 974726920; 774647791; 452763862; 210540693; 656700675; 108871711; 214335262; 88596601; 588986433; 645047084; 82476340; 199242641; 124134192; 944813384; 482170399; 554977641; 357213889; 45250230; 253805984; 133961647; 3034497; 746553702; 264774880; 439194209; 292890505; 566855757; 748626057; 273679971; 31761046; 821841090; 369178731; 441590356; 567752315; 921394127; 705155434; 81370654; 25097067; 975726055; 129424508; 275622690; 531167879; 863524506; 873537340; 482550244; 526785941; 450879609; 477726313; 965710424; 286335041; 806291988; 761430415; 149500683; 252617849; 337002327; 601367881; 413360246; 759615826; 53513790; 936115918; 198048168; 485858352; 857172444; 538796204; 749765900; 861126019; 479889684; 484936453; 196284165; 145158828; 995453133; 793956647; 444598597; 645060430; 717554538; 455617892; 697882760; 315963126; 74398452; 504534005; 870538633; 16426812; 335868820; 833093242; 999610523; 687251161; 495879176; 3802598; 970914516; 799349234; 253498109; 673753576; 267407538; 390799013; 116595422; 896550287; 600516894; 982473562; 95430406; 162939278; 933664124; 499649089; 18035050; 165263999; 538359076; 749971678; 216302378; 808656252; 411146853; 616873238; 296615860; 303505033; 64527878; 710114099; 782045538; 915972561; 874433623; 687054739; 260817048; 948139455; 785771201; 932549940; 81630851; 116702704; 234913324; 654454209; 760727327; 609738986; 392807850; 45532224; 725150352; 315128517; 869198295; 846768992; 313431114; 803824950; 997125135; 908412004; 361516038; 998350524; 121126451; 689628403; 934308129; 935864778; 286719589; 477154288; 831226268; 922908419; 976645133; 461654187; 434048188; 366633001; 528582759; 877679486; 83810237; 643112827; 90999081; 930528959; 653095466; 784667694; 978419973; 922633477; 455591955; 450215356; 70449071; 138793900; 826565005; 723857787; 327281216; 652222150; 753091372; 166014330; 292484429; 16141882; 125757988; 314660292; 8194055; 459520505; 316517810; 203781853; 809922118; 146631601; 105299794; 851779018; 147038075; 343910194; 651006378; 577143252; 352627678; 857392747; 709842604; 934337802; 275549844; 314845906; 295703726; 995401899; 673591732; 103411560; 236004872; 994802740; 528963750; 593573531; 932612912; 876042722; 55003605; 796963851; 372993958; 782722757; 343243319; 810442165; 276141994; 323605465; 162699557; 289469366; 481069769; 834781892; 882141650; 189684550; 993125996; 798052985; 44361245; 528732646; 775095424; 496071609; 416444069; 398338605; 376566226; 760345224; 390666561; 935016739; 654743570; 439949849; 367020355; 757884498; 298478949; 511663656; 25463811; 642230924; 456434174; 948309208; 786631161; 711608471; 904969979; 499185390; 535765291; 552890614; 860756772; 425952074; 543816741; 363319716; 705489176; 584368481; 620176873; 388081449; 722885536; 263095528; 389438457; 332164422; 710152719; 976576766; 350595210; 380901378; 197024537; 714741598; 273213370; 562564828; 849955523; 858639924; 95420942; 557135877; 878229437; 942979103; 247269029; 925659590; 974306787; 39547588; 279560832; 896677376; 6200505; 760350285; 715280178; 578755324; 734130842; 298139533; 979831526; 352317493; 416091835; 304769074; 613373698; 719589737; 607513253; 524531724; 74108970; 266978399; 842987730; 235207216; 186365861; 375162204; 505561304; 993821990; 443287488; 546019767; 76544673; 3694195; 991002912; 97952223; 988933148; 431408943; 949514676; 428417391; 917360943; 92154208; 584167529; 200365270; 90564009; 822547865; 571445673; 242407744; 499787483; 554436502; 952364195; 842911495; 75618905; 341510251; 491556807; 721417574; 384820700; 196756367; 156808749; 587223283; 696995226; 758605056; 433902813; 975732458; 56853317; 626317733; 417675097; 916754614; 998449585; 193141822; 643489308; 667136896; 338942872; 69766673; 5930427; 524322138; 414696991; 540112988; 564299726; 586921007; 588438167; 868452404; 678829619; 337915554; 469187062; 714295457; 276308105; 769155547; 99177763; 767168097; 552406844; 269131541; 178983653; 538004409; 337703358; 955673018; 600194391; 249179066; 521782063; 573013201; 222850241; 584145008; 306182660; 981157380; 940733861; 378151650; 634382909; 768050276; 312246053; 759165582; 37022343; 645804949; 592537776; 822940513; 467941774; 208154530; 974223573; 160318130; 361467995; 433208664; 154165101; 52286020; 779095963; 857356402; 581689499; 810852308; 202511234; 622589413; 186979287; 92424521; 977650565; 102442640; 2886749; 78857208; 686677422; 785764223; 623387940; 695683396; 41120054; 822140092; 495657403; 625194029; 463546285; 273534112; 508002633; 706695015; 591811777; 210827397; 155645507; 143475711; 974496796; 654136417; 592524815; 472457812; 972769287; 180138585; 382823988; 169792633; 696903231; 804812814; 819875911; 997841631; 175584679; 465107020; 125666612; 835714854; 958151761; 276752114; 776566811; 783180384; 441050856; 872921800; 231487404; 938773255; 440066634; 930810015; 514413360; 366867759; 270231125; 368513276; 174078729; 436525318; 402508891; 919147709; 944289463; 929475235; 396227789; 795062890; 576668621; 393878710; 584076187; 482757608; 607893961; 641555654; 841066936; 986182872; 813285026; 857724688; 834126817; 520433564; 119293857; 727581763; 279192420; 199882868; 518696469; 662879347; 593242050; 452080726; 394023073; 526647760; 388429795; 426047373; 665685254; 55115900; 817046145; 109119925; 558242467; 176101769; 368352878; 250541365; 417763402; 537570305; 955685886; 355392052; 385790335; 962129471; 770302513; 560720023; 609577227; 983848094; 531409550; 41047623; 946345407; 572553063; 132122834; 292158894; 118754653; 4149870; 412846221; 258836547; 126039366; 383203930; 6796577; 939906175; 997996295; 645686358; 232971909; 891865285; 4034339; 430213362; 747881183; 113286110; 350716338; 609796395; 586742502; 287815818; 4230182; 688022162; 296075562; 921011252; 34240152; 374178260; 8159874; 109570151; 865084368; 181994972; 975375220; 955613322; 889958973; 623347780; 195904897; 14958398; 574931204; 156982050; 489423194; 129557622; 991458202; 732585446; 251043815; 771270974; 681895933; 857811983; 676567238; 3097996; 91719800; 329753993; 522333227; 310464743; 877366026; 410984325; 14595964; 334049467; 49195689; 522313091; 428838379; 17854638; 610753584; 514181307; 312944670; 269085135; 54194558; 627781753; 321532652; 528426487; 46942454; 250203079; 259140570; 663289153; 914643032; 225859315; 894276027; 915380332; 982242293; 591776122; 271018639; 611743802; 171878840; 364998299; 177724413; 90732649; 81281864; 477856251; 454072288; 537719066; 744384180; 606092642; 513417077; 871418600; 304004310; 325036021; 602982270; 307224431; 707822043; 254091028; 501944059; 135684519; 875645439; 476992242; 817898318; 467021057; 59804257; 532060640; 665084356; 215396346; 455276267; 417703908; 695958537; 685067522; 157585765; 684630870; 414036208; 440196852; 779248519; 481027446; 816408870; 952937215; 232048546; 787046555; 168582340; 479631032; 125696569; 630188299; 708387614; 31239594; 974726978; 274527663; 198260181; 785556377; 735140954; 507452817; 543327024; 313279441; 712708378; 457320815; 677021166; 284594478; 879657188; 959675606; 751972215; 569374606; 384846190; 76542388; 962456713; 556621671; 868532328; 452389609; 647956086; 271881012; 134921627; 656468079; 274694889; 796767691; 296837005; 740150965; 255270180; 899253388; 939426781; 838133211; 823837149; 268223936; 339227977; 905710482; 286823478; 303538370; 603772768; 262913356; 418019920; 453415220; 822835319; 3124317; 770707526; 479553401; 430946514; 190583300; 456602747; 938619278; 301198120; 566936031; 685517372; 943801760; 109923305; 605949025; 325505201; 376757144; 765649422; 957759072; 847519727; 809848877; 639961918; 630644733; 587286892; 528101067; 625081015; 412337436; 180386843; 918440275; 226849931; 439182886; 961940848; 312525222; 190889187; 172381468; 389894064; 621497906; 821232248; 510514463; 890341854; 548036570; 644790666; 875365567; 731241980; 829780934; 713211388; 526859586; 778123021; 259277784; 96741518; 933012102; 236099662; 721606256; 339157051; 350584452; 968523318; 61049860; 832186208; 892821331; 204689146; 331272480; 933104969; 281112254; 274196262; 754339362; 756871442; 482552290; 41097325; 628258476; 465348374; 739764845; 988677796; 381408145; 75782622; 700892704; 932856464; 349808123; 223758003; 210252644; 566212004; 28438325; 31834613; 660506197; 797004573; 635430673; 11119677; 700534104; 897086419; 724736505; 37271464; 599776769; 148621065; 958373480; 961993036; 18146025; 54519258; 498293652; 408057042; 819200077; 932331585; 786967943; 491975159; 497226350; 343441994; 590230083; 26177683; 666154709; 913358944; 262101701; 351134477; 804009871; 333520286; 103285173; 153110533; 637242361; 206055802; 42645631; 248322065; 975678213; 931101188; 251057161; 324717763; 607954785; 820377363; 518013815; 451900852; 527048120; 631158748; 275165154; 764042842; 278891031; 526592508; 543897975; 111037400; 261342810; 47037143; 442725126; 199331953; 660472028; 690516812; 368615179; 806291129; 481710353; 684540763; 953953277; 205173399; 624069672; 522193341; 619594068; 173921214; 223759628; 294306357; 636714903; 98017507; 774680646; 723016996; 258602386; 259711945; 433552239; 37612808; 22042910; 475984449; 748576708; 221701566; 670896994; 23837075; 382557702; 889384298; 4937259; 135223808; 612801996; 865249086; 74439681; 865204625; 56129472; 611696858; 209228491; 751161708; 519027054; 389010329; 134883328; 598204163; 431386320; 493512629; 46131676; 872507324; 746028154; 801065926; 769825996; 847646184; 171521083; 707487003; 447058003; 935097913; 395727947; 961335683; 366349083; 526139715; 736457475; 339409975; 919630097; 403438583; 688599823; 134335244; 204901187; 30294971; 200942475; 310021193; 28650179; 518463220; 11641775; 983890781; 659294422; 474058710; 295039554; 937283176; 688622304; 152835959; 687195814; 618571664; 230153374; 744996130; 107115298; 244308641; 516782696; 706459691; 540704208; 744474601; 881019507; 180140830; 417837567; 990784838; 597290370; 506981205; 319513496; 34557189; 90120658; 420999518; 137586474; 780238388; 83697066; 195344546; 603929915; 748804351; 36448383; 205318022; 680356832; 187533905; 666656159; 566871037; 234245445; 186969545; 527845487; 115955; 605854765; 181203442; 800869228; 494849913; 941335441; 735501857; 440742807; 80398541; 388107936; 503133297; 3197515; 977173090; 948197281; 866149030; 890336241; 737596275; 239635358; 763128793; 464260133; 34597222; 964315349; 966698994; 550837991; 975100395; 482333357; 670852629; 606619048; 136457243; 257228789; 673786956; 719476553; 255045898; 434789793; 444366287; 33716053; 677384030; 531727370; 799307461; 766726992; 868268592; 805286845; 72495250; 760160131; 22466245; 614423273; 642394171; 450064837; 993072964; 602744724; 751187501; 254919657; 596080075; 725099497; 187626331; 289529676; 686447514; 59030443; 617579753; 95757627; 255926332; 430369520; 421793393; 153845646; 691709934; 816021786; 610895947; 140851285; 939394708; 28437159; 145476209; 958148237; 559758662; 848249845; 921372382; 702243153; 555134166; 656801764; 897738223; 203000159; 390106757; 818710121; 685271237; 820221118; 348154174; 769008365; 756086965; 711073105; 960711921; 251585986; 539029627; 942889107; 479045202; 797403137; 354064939; 18609673; 360608350; 221907315; 860590850; 485044445; 160630607; 282451344; 972023571; 595221899; 324405145; 768928757; 308246831; 537466560; 457078115; 341280099; 732827119; 827209551; 365284460; 957146180; 534142839; 682828334; 775037956; 666998442; 502363463; 485545469; 279132970; 336070178; 949728800; 323652840; 755751018; 681927740; 183035896; 704675063; 600718620; 283792085; 914050916; 669799915; 639358090; 965856421; 250151927; 8772769; 214268657; 616964115; 594064258; 688802527; 458847668; 446003312; 570378651; 797270856; 300864262; 253232240; 659497774; 868774917; 549100110; 524496549; 732181914; 173500988; 670667595; 869665063; 603547692; 926926; 914429430; 272748408; 268355759; 597576430; 718987854; 936361271; 391375997; 499825952; 973019958; 181675125; 738481588; 205268467; 291872837; 739022275; 149926094; 263717232; 168178914; 712859476; 762894829; 21112388; 771540142; 913718864; 35967132; 990282591; 235895331; 80891970; 45765177; 867665261; 676387447; 110434464; 668459812; 915840473; 974456395; 955804968; 530308455; 421293578; 338752716; 179945203; 407873933; 230148297; 372248231; 390495586; 268984781; 22278233; 642690544; 916079713; 836434955; 305638684; 62126415; 912864197; 179848353; 489565849; 386010553; 743838764; 754482035; 129036507; 2498307; 78943861; 829277865; 892418677; 813082127; 414516241; 610465301; 409230647; 120925686; 827143102; 686232368; 38546949; 939685019; 511868195; 136316668; 774637573; 143850388; 73013809; 213445303; 765917163; 757061965; 474802205; 753082880; 264023107; 473227731; 929298070; 833859926; 263036402; 768522445; 609588007; 664900084; 369443341; 283111630; 20417587; 840901619; 54231653; 859992222; 615364247; 720624878; 187583154; 582608511; 565906775; 44883342; 727169413; 819523610; 60260068; 768389783; 132575818; 782820229; 482896706; 882701726; 981861980; 873495995; 168773289; 510531831; 774687808; 205086306; 237147367; 233084474; 487412049; 231693497; 35063592; 598909418; 937999060; 958267583; 978295086; 716854435; 229929979; 25331989; 779100581; 991205270; 486940401; 597366968; 155856079; 729535814; 220501769; 923414583; 294466901; 559693808; 208462182; 516415494; 235193270; 578101207; 956864089; 329917509; 19053583; 685764829; 780838801; 249194407; 169210087; 67464814; 382394634; 11756297; 258526064; 203778532; 987427343; 960488911; 566353928; 688009974; 873146774; 799138281; 367264497; 993571830; 363443535; 83238653; 726862939; 923750727; 480371563; 174296309; 753164267; 323409712; 95686228; 169305287; 129361246; 414172278; 452318191; 793485050; 294885095; 152712538; 149484478; 255793961; 681610053; 946620266; 446601418; 134245316; 369299767; 232496389; 296763292; 702230830; 670344619; 124485348; 173508040; 734216183; 942535356; 87383407; 706164124; 372861955; 793927526; 561482241; 715708749; 620079710; 981762816; 465547587; 11018605; 19767265; 220855265; 111168400; 257996380; 309097972; 406161058; 636806751; 972498898; 306759091; 978872603; 944467315; 12661573; 278338376; 320268298; 909105388; 72624790; 290007253; 934232102; 837831850; 303663759; 474769279; 697532180; 584422801; 861530836; 223507490; 427366996; 964080498; 327638807; 827986187; 979939560; 902855506; 704120104; 560066393; 147271314; 675214855; 691992468; 681900825; 834186625; 365361207; 364497972; 667189316; 682860146; 432159145; 132386673; 554485194; 240482790; 664008582; 458369883; 989281128; 179226460; 431624525; 91645563; 152686868; 758925700; 567602475; 449287093; 414186515; 727135078; 932148828; 290999326; 551556274; 116532166; 455769405; 545681621; 498217646; 488087820; 41031618; 604286578; 780370464; 154619658; 198231676; 383279611; 486181060; 881980584; 228616345; 932123600; 324912088; 528081057; 186660967; 890806377; 19188082; 373949309; 869949676; 878927671; 723754130; 532192038; 731046105; 559709999; 946873598; 556211195; 495324452; 440309506; 436174680; 785162269; 231370732; 701815684; 343032512; 386287194; 631927650; 978095954; 622122780; 855426535; 275014465; 825824457; 937368088; 358875310; 65969834; 510507901; 484539030; 725045636; 25686682; 267525123; 716564742; 39573811; 833200653; 283186200; 426512798; 912293816; 559483085; 456625205; 568874573; 35359450; 183765097; 123674607; 87069097; 85763087; 662360684; 326160611; 624473049; 13569885; 828763412; 258898445; 164740308; 289527924; 858492882; 834398355; 146955650; 168187128; 823840138; 504833323; 859411286; 259357026; 412422633; 9147708; 412560843; 302327744; 76984845; 526036869; 56513271; 906859970; 509858699; 552911684; 781866379; 55407333; 693439682; 246276549; 235415042; 652515306; 946406977; 330987937; 651551277; 116597111; 298285907; 97164926; 493463647; 953102838; 406718547; 491507539; 159239270; 562860256; 388941907; 292138986; 787690527; 468267704; 470288309; 75073453; 437842129; 832258914; 184816169; 432407364; 86244669; 140571080; 829751935; 619408107; 611561131; 210981242; 743430369; 792628340; 607392285; 856655501; 85832159; 164852741; 681570229; 639025476; 119131938; 548766570; 316351484; 149383612; 417289650; 356524025; 739236545; 959878008; 724932776; 697290933; 949081786; 25817246; 265607051; 329252196; 795222990; 713599530; 660142994; 278230173; 120397406; 965534996; 520962850; 885014371; 74912593; 972619866; 717357351; 108494954; 959140949; 512463327; 593155902; 221144115; 783578143; 411253076; 84856884; 492123461; 622314257; 667293418; 225178426; 784815321; 917497793; 257668865; 627928571; 936122338; 954161688; 908198224; 542376519; 64835017; 509819907; 59918286; 837037758; 646564554; 610161322; 39725718; 5920405; 90981425; 118778082; 166764935; 281025610; 864576952; 169264401; 80661029; 959548482; 84561787; 430204757; 406161961; 182442904; 524166664; 250907368; 734209044; 450184782; 664998723; 900872658; 212775663; 156810902; 445136947; 53888129; 593724904; 940952365; 961676430; 654921262; 212433632; 123598427; 914919615; 776561755; 574880577; 329770150; 235454763; 956516639; 238069495; 837950049; 387790443; 582575429; 784546926; 843336310; 323158530; 978927673; 274849627; 693213033; 276444121; 695634700; 553419910; 352344236; 115123159; 561286001; 450849699; 764258746; 688900337; 919694336; 93831335; 7871929; 446252570; 265539885; 663999910; 769666319; 412493231; 10275649; 185928089; 574447495; 746936443; 655387690; 225621260; 33626325; 537046001; 461141994; 211694884; 36147225; 961358753; 646629930; 941907998; 80903034; 227738374; 942820193; 382080750; 460359487; 495374877; 93447711; 384645003; 689172601; 186717547; 367563199; 836020663; 565502006; 369499083; 917111870; 127629536; 432796675; 211863243; 470057627; 694288694; 68193476; 529978529; 678985771; 399488719; 783649245; 212378386; 10387746; 768076633; 100232004; 773439854; 126917990; 115998412; 387479229; 49107686; 271021538; 636228886; 702710050; 712029214; 739195587; 594501397; 675502851; 469411023; 283507488; 273526398; 769055306; 244556051; 823989136; 407381796; 33036596; 355954559; 468952495; 101297912; 881399567; 549557262; 101573349; 541712929; 685921078; 204701566; 436728694; 759817136; 47202490; 365296404; 533527126; 242574687; 894711498; 924049819; 142093212; 328176832; 593796832; 124040798; 602654682; 699984559; 412880968; 534776659; 341864782; 707944727; 359392061; 374098408; 486575505; 994993113; 932557553; 417725805; 336306419; 545689959; 717391394; 5705780; 265765397; 988265621; 148287949; 62442428; 892605647; 613745851; 991785191; 893459725; 172459006; 386532532; 321047614; 6517013; 763915066; 328865461; 931618436; 745183281; 580651289; 438015163; 873222862; 153689432; 206243193; 371274775; 13017962; 726042315; 472846824; 322966085; 510494186; 902876859; 254754455; 989285734; 23483477; 268887377; 593211259; 659933490; 49642522; 81939300; 544224714; 291051668; 543219767; 644223891; 557542236; 869657383; 940850797; 234589148; 556539940; 295197135; 299266676; 577686735; 747831278; 519598055; 229059773; 887253905; 939814024; 493700319; 421549615; 435954622; 48167750; 5952188; 887799848; 951265088; 327200808; 575622586; 615518021; 622005824; 119059442; 496765334; 979002929; 943120749; 836865184; 227278378; 175379652; 399069461; 397890881; 944097169; 664147870; 642565020; 377836838; 885048100; 212073339; 303999642; 200755308; 218517362; 472163525; 915622075; 91964324; 497502683; 849685724; 214264421; 175058029; 729010692; 138789040; 990012706; 433491235; 479732408; 712153728; 785782718; 932351375; 204165321; 655861192; 904175587; 291404946; 706845618; 169987847; 515890838; 227988628; 751864658; 898249038; 375479886; 716138752; 889965976; 590641898; 138984012; 862451486; 504252900; 977406538; 777840490; 568923699; 502211323; 5550779; 510745557; 212082544; 776654790; 512686930; 639636802; 862788235; 318813593; 572440710; 644831119; 556576240; 844625550; 15662194; 481579661; 506396828; 448987712; 266421942; 452336934; 961477447; 44102481; 140273548; 241238346; 534969733; 673666200; 203528849; 128559262; 401816342; 588784901; 752332485; 872611583; 932530246; 598749703; 581320532; 68732116; 63677622; 50462933; 46806666; 715359964; 510680941; 921229751; 832510269; 658621337; 520673825; 638016323; 67912424; 99547707; 607043762; 682447997; 333651622; 982779610; 914062605; 351302057; 729706237; 765288893; 495528358; 788465749; 882930574; 695809664; 413949152; 653296740; 352827969; 99552102; 895885315; 380502346; 354390084; 996868665; 950106346; 426025635; 832873877; 766631445; 4453745; 312322491; 905463216; 893378510; 284228791; 58489502; 359291975; 905447857; 624922154; 773689566; 149009423; 168666334; 978327568; 645790579; 529625544; 88185820; 40737156; 3003036; 111849464; 919428477; 509357675; 718158179; 919703100; 22982600; 296339876; 584292476; 237319205; 881355437; 431765876; 548508856; 793408317; 944615471; 467971902; 754611636; 157710013; 480065675; 295707019; 225090712; 800872156; 248109913; 930750674; 100040376; 869150602; 59008290; 732862698; 255954333; 574024659; 807951584; 281664871; 297439574; 971410429; 305393269; 931683700; 473304327; 893586888; 107551136; 300170552; 480861732; 735518053; 479924427; 183083170; 393314671; 990541996; 953811123; 73999066; 157098641; 624145443; 246599345; 735724238; 808076080; 897850144; 137843217; 228500680; 721391227; 442033784; 958742400; 203803262; 325610604; 727158796; 418595061; 502820325; 444780191; 643992188; 111921352; 180815322; 690015439; 541674973; 625855711; 4431222; 593354606; 695629644; 755795480; 948716964; 515854804; 136048729; 872376767; 57165617; 928579393; 631886469; 791528858; 786331026; 118881650; 460505116; 79735947; 318517981; 970235017; 859577385; 849326222; 761997296; 407218062; 940053427; 424028639; 4334474; 123696761; 350723574; 834277957; 138178517; 744068153; 174699396; 675641095; 308471254; 157178105; 644114959; 4879829; 601424266; 839728221; 569478504; 28503202; 115698645; 922494475; 553910558; 656487342; 66292765; 64015684; 70840226; 998292320; 844094342; 552851024; 433879996; 731281676; 368025205; 876582833; 7764751; 278689124; 525468401; 875517236; 818300624; 218578725; 297658962; 859833697; 37451953; 341849396; 688582269; 119491177; 680297318; 289498012; 565708780; 361104633; 833086445; 904588969; 522692179; 251930191; 707914813; 219138410; 632801950; 80243463; 257131548; 382679769; 812228450; 771083905; 427562878; 130317278; 44431534; 266440573; 618361621; 68481604; 621314695; 47568868; 667312411; 466842055; 461159596; 524482792; 438293462; 252493161; 547379658; 541894260; 732181840; 526932855; 216141216; 558725237; 578084620; 457520135; 192563358; 365758860; 729898262; 464635341; 323912290; 793526714; 356283194; 806809822; 164597654; 385396619; 735975399; 791573496; 883936525; 942901881; 910291268; 316961366; 497183215; 879154980; 18123103; 732431816; 69869305; 916910881; 254865372; 939878303; 627814787; 348490126; 713405971; 639419729; 837276173; 899022105; 169843100; 124833444; 526928727; 363709837; 226559697; 584416400; 350880701; 886061118; 238487357; 881677073; 454706952; 519423653; 493531449; 590008280; 424528930; 93485529; 673526337; 332017718; 177311403; 413680485; 610537350; 276038599; 411706943; 873517334; 266952368; 222988376; 840864888; 825793803; 888270982; 618458696; 222772848; 266301442; 443123172; 650172208; 905908030; 320618589; 349242455; 370304269; 81079933; 458349642; 830833476; 986868896; 650877118; 283634297; 882186640; 937139985; 630821074; 213586555; 78288765; 405040616; 975711864; 275940919; 804000556; 243169391; 924988637; 83943360; 55263861; 679702325; 55884361; 776000754; 430230621; 895456092; 204448518; 527639705; 461148089; 246009583; 110011444; 819284534; 341436217; 542702463; 368430591; 20837376; 717550134; 202356060; 540629826; 128341783; 434358202; 99782926; 313984572; 977445012; 418870559; 48886291; 224413689; 683413990; 725742420; 46369693; 161795291; 63119264; 909134264; 505959229; 834657553; 502816339; 636378955; 62013618; 740703946; 132495418; 78026618; 676512806; 827413136; 359951465; 747793075; 536867316; 462799169; 820263374; 578238114; 256377788; 763910767; 819541349; 268899364; 959345974; 646877159; 414631065; 65341594; 155277273; 813492765; 694379162; 935639748; 288969264; 656741331; 460923572; 167975035; 737702017; 900891546; 772397047; 472009695; 900779964; 220419076; 403222106; 947621345; 186420067; 473233131; 925288141; 91057645; 810519380; 396002722; 214352706; 299671683; 7151931; 928830411; 122224679; 965059840; 686154804; 342905383; 975726646; 56415548; 41620279; 937919246; 213560412; 62185083; 999677490; 494979843; 413960258; 115756135; 492553224; 524240568; 631621415; 277391545; 459940418; 689170329; 284166238; 625687690; 296033942; 57296896; 162603034; 414660566; 61979657; 252095261; 987081390; 85160619; 821688080; 706806111; 164273089; 913025027; 73016406; 633905749; 104647238; 822584948; 609932786; 399211256; 467796275; 280885218; 51444380; 958315367; 482996521; 171852395; 271535765; 139329910; 600210534; 330036565; 369325150; 374288494; 181009456; 998950153; 341712313; 901914490; 754282166; 798955196; 691167751; 710692043; 210153888; 683300487; 463372175; 953898013; 923787318; 168894396; 917691148; 364137082; 216204484; 397976522; 215182485; 66782943; 926439009; 863320620; 930326372; 204745116; 111529907; 652903570; 235600891; 529315701; 735351269; 440280318; 856129194; 346240756; 461142265; 954885576; 252212516; 494859564; 18252394; 697048861; 604038253; 700585924; 111464052; 772003503; 508764573; 744461014; 498194730; 192607077; 59014459; 252726994; 444875440; 895561989; 364765282; 122763089; 296380657; 708431098; 70029521; 784406828; 965752415; 393463064; 448634990; 62529564; 179442073; 697680816; 280770236; 588425868; 459949243; 609401396; 405381024; 108676586; 251651928; 71854382; 540292012; 406745450; 494548588; 480473512; 490311952; 156849868; 56851966; 876192476; 583636209; 31580401; 723786044; 420421459; 249267948; 373183846; 500132820; 650928808; 370649206; 4957740; 817081885; 499890236; 938184233; 353246393; 795521059; 781798177; 76004630; 665927282; 116385909; 777035354; 975828901; 333639193; 710839127; 861608113; 691188115; 449093713; 198955798; 331442777; 23341620; 425004840; 418908931; 369054877; 778624723; 121621090; 196836658; 189717906; 80004680; 382851612; 518327869; 376811770; 429464571; 753600420; 467779552; 158772213; 773311050; 643621064; 450224496; 571537341; 313607706; 171265985; 332946220; 40192530; 280359633; 590010725; 433196885; 768913760; 514731011; 491723065; 476451660; 892432132; 115423475; 463917545; 722189036; 385693403; 743437116; 510331629; 14200148; 586808507; 369926119; 442381074; 665205813; 852036598; 362580290; 301624232; 344146079; 240517067; 506850346; 726396608; 749746203; 585210702; 164581525; 553353225; 636655656; 856476935; 182963029; 874282120; 605443271; 70079119; 595545509; 535256983; 284379026; 194278783; 155954826; 79156837; 207733775; 257226120; 306109780; 114930835; 993927157; 445113153; 916699238; 408571174; 692104553; 890472899; 287977210; 492923516; 313351616; 574931743; 123828145; 126038280; 952942697; 154926875; 215392862; 962636104; 792592391; 867420576; 772566430; 343796377; 944327292; 917631669; 941743080; 580458101; 626767564; 60667043; 303696728; 163173580; 105376459; 223085301; 134147597; 805526319; 597678708; 508275676; 550971728; 741485076; 630288688; 999959099; 644135653; 306694135; 650089660; 481531597; 879447963; 29798766; 668869840; 716640393; 195611051; 548790237; 201467479; 324083474; 750434048; 466752138; 266737461; 244413667; 895685670; 832398579; 959158647; 315484542; 321277731; 153834493; 484278430; 516506539; 756272074; 307437792; 680894127; 873232577; 348409375; 365924454; 230497815; 870640109; 246289828; 377816704; 50401191; 96489057; 352049463; 816668093; 10241209; 759982080; 283198305; 341623527; 786239615; 976339601; 251209009; 201502676; 836623043; 477105240; 573567639; 823734383; 902433386; 360646602; 617810974; 69894342; 839965842; 41526833; 350967152; 836619174; 404723997; 939156721; 972018230; 285599318; 947371776; 465399025; 60749986; 183940662; 216537699; 534120469; 122598516; 495470097; 709028289; 216717789; 70268480; 990936982; 777553074; 787344075; 184022448; 32194494; 570215090; 952124515; 496548787; 67827971; 750286453; 331416370; 914571613; 443220164; 345585511; 275183237; 548164867; 618671830; 448006778; 26922112; 638465674; 658372151; 218162064; 71861337; 418494918; 373580448; 441538182; 25197456; 428617719; 327359659; 786141098; 199357039; 291628709; 724531365; 175653246; 200219524; 190346582; 713644324; 250472405; 126779823; 976930012; 161327001; 445870296; 68395385; 921090469; 543120269; 564029886; 332899960; 929636136; 840174534; 849142793; 554057826; 561070101; 839105154; 897524003; 945926415; 552268877; 399520367; 631118031; 972303672; 398719234; 65094440; 770591899; 681985616; 504722760; 134546445; 323833377; 922028817; 986696610; 872840424; 109029801; 859591417; 86959283; 495334232; 538905226; 567910125; 959404125; 957973903; 292951378; 438216158; 490267170; 875511373; 835958362; 768222525; 137793698; 367350187; 524460436; 20607206; 526642120; 467437025; 562688367; 161899453; 731786549; 976607553; 605494158; 381433095; 574132709; 469278264; 982482335; 142876152; 895230683; 943225518; 189338498; 965772079; 152606469; 296363955; 724670356; 912314485; 260603793; 983075145; 108785951; 508067371; 974104727; 757033131; 47173310; 664152821; 232774320; 257816407; 906639417; 218027397; 40484081; 139745142; 328568553; 848017594; 719196784; 656156307; 186502247; 346514626; 326492481; 320073786; 560144498; 140248345; 858550219; 973599894; 219249921; 21044390; 670577263; 413784229; 629671095; 682135776; 474711026; 6005323; 765436990; 885721272; 738549208; 420151591; 602566315; 658609692; 919528692; 853127508; 317258812; 485580638; 727757853; 718091994; 399410229; 34652787; 322379807; 700819777; 909073242; 331975559; 664268994; 931553147; 653395789; 769020407; 780900410; 11025660; 227818113; 484139613; 432959142; 88997020; 543221710; 321408644; 801196849; 728574470; 402490877; 918246521; 691370613; 214028968; 959647728; 464842213; 663373800; 274559847; 757987769; 983186324; 501975515; 927224479; 231005399; 586677353; 45782049; 296829649; 678856162; 95858032; 635221956; 551199915; 841555778; 449289242; 608138582; 72660505; 798077801; 224205948; 480472978; 460628756; 443412624; 357975082; 429510570; 293607334; 855470494; 968254758; 261952854; 182981974; 314777143; 240740675; 362126319; 824482246; 687609476; 337694804; 817412346; 969979718; 270606990; 655352311; 500315719; 648058595; 972127231; 155445550; 525365118; 928728931; 497758841; 134605705; 561755786; 834677085; 200384731; 589593068; 499259289; 541812393; 775551519; 202487900; 222519852; 439129086; 797079090; 100051539; 886645741; 433763923; 312743293; 955210161; 684615865; 369875521; 256393581; 675913695; 282625300; 768934543; 4417206; 163763541; 756102252; 637937470; 417967485; 791796288; 961180390; 186606235; 935960413; 682638268; 50924304; 3933807; 256092067; 1366342; 464017715; 334171124; 645178173; 426345309; 801174697; 232188148; 197147039; 616305550; 721874668; 652739245; 874618374; 651628291; 791203369; 534887119; 875802619; 431491374; 141165871; 749324203; 51196948; 841530975; 446225699; 689143256; 863641109; 793692858; 984994617; 953639216; 146526507; 434889113; 255992444; 599190496; 342791457; 111341359; 794594069; 783834095; 460721056; 206877888; 652932992; 434812772; 562546831; 965269982; 389936314; 232534079; 359743296; 949731858; 575462856; 79244676; 722087397; 588769984; 84449803; 151369284; 475800445; 236644539; 312581742; 568136381; 465892994; 667320419; 489544218; 332188376; 531164474; 695283343; 351614460; 922207162; 390237027; 152348348; 266270570; 982775041; 684318822; 788235919; 775907819; 484576791; 506562958; 206543270; 358542787; 538415426; 945693360; 121434455; 200818592; 194753870; 10520769; 628607690; 285205795; 643296214; 936346845; 685268856; 812895569; 142342149; 80798203; 151301972; 728027806; 78155076; 890317439; 458796325; 734671262; 503973961; 899634035; 581928668; 920317014; 19070499; 912396186; 817753676; 895895365; 291904051; 11751454; 673372922; 309154079; 16844291; 266583100; 366343257; 997329675; 557494192; 601448346; 22511813; 384017767; 814119384; 397443100; 956954416; 357421734; 180949593; 730321001; 736214400; 283578618; 785673587; 482342682; 896703341; 594723969; 767724024; 626839595; 15107764; 150208408; 245615218; 943700230; 128933319; 661429486; 485396310; 166989113; 799703074; 672875441; 588684495; 879352949; 805347612; 848074654; 701595869; 678273878; 415168061; 636289299; 770514626; 873856739; 452061571; 19493776; 648876986; 29585257; 964838142; 490308806; 519898295; 664345035; 90966790; 270310110; 162228522; 587995622; 290733306; 14584422; 20758521; 279102929; 755033255; 745216; 822224178; 38602452; 313638057; 497860940; 910789932; 858545326; 599629104; 986773090; 70566495; 654513257; 9090310; 24851194; 847415795; 81074957; 495909556; 452057592; 674304556; 291720689; 493730442; 83631688; 323093331; 951201546; 832843092; 16449382; 489301078; 630671871; 381475960; 883033149; 602870578; 747509890; 692345830; 874799323; 905922865; 798861771; 256224501; 30942935; 652884405; 288178489; 632838431; 495575275; 478641872; 58556155; 568021944; 986904513; 463850961; 770470942; 2326362; 375980481; 948623405; 907456838; 614333368; 790158070; 903469461; 191497204; 918905991; 969339255; 212828402; 152336227; 70570967; 279490161; 574443642; 334323107; 59455531; 352579544; 107569391; 856342642; 552729520; 289272886; 597136898; 355445342; 519459776; 215040700; 866093004; 895544993; 682682822; 166793107; 859943628; 202998679; 347803721; 456269304; 447675345; 563398777; 432870151; 719846469; 267480088; 901105877; 981178328; 875907128; 759821478; 398979763; 430449941; 749448655; 141853137; 365919660; 453043675; 655490084; 829066270; 476333844; 655776598; 991324506; 220109239; 853649590; 692526508; 887634313; 741171437; 399884955; 54594303; 776356237; 208197577; 526444339; 120758200; 540818605; 810037417; 704105542; 814069257; 355709088; 386294256; 623696136; 787053297; 473910994; 350501450; 185226395; 915584265; 698732034; 379422619; 995399067; 132458880; 440713975; 943276396; 206473781; 828887956; 856715140; 439552026; 641805196; 880255083; 787108519; 461551515; 763649557; 282797221; 560748040; 466311501; 298630537; 387865656; 452477152; 118231865; 324202402; 256469861; 496314313; 696304588; 596026258; 174715864; 639004751; 243009454; 666630087; 520403727; 267033748; 348057792; 684973082; 507619261; 914749136; 379371808; 538169520; 145498560; 336700401; 585359835; 354424664; 195997239; 171819890; 637011823; 230041494; 232064374; 496844790; 83775907; 330850834; 826199752; 775186436; 788221721; 728907966; 809123422; 438890988; 281574878; 339314727; 424619606; 644923795; 565065506; 517990277; 54848275; 343874973; 723338410; 713049027; 766985311; 932473378; 578696185; 689350884; 352272734; 440409016; 858117263; 113789611; 671021911; 312751005; 217866827; 660207492; 282054823; 862756473; 477128923; 348654750; 982862467; 993589270; 100088473; 614342573; 367547699; 924825284; 306685823; 290002644; 451994141; 554454797; 260616847; 382132816; 456829770; 257982752; 252652600; 806931226; 14460290; 27044588; 254201711; 621468797; 120911975; 25974614; 735618204; 819183427; 393716266; 778148217; 761992460; 269301138; 239332957; 862448948; 153746569; 985806327; 739288094; 437389534; 506602262; 641220760; 86775938; 703675679; 296318354; 25576991; 777575852; 303064074; 15143586; 829980917; 237447739; 554589218; 604371189; 234331940; 832498931; 91973940; 211484865; 161172571; 852053011; 382453869; 984189448; 94480683; 868761452; 965479009; 591664967; 181967024; 451090090; 942505492; 893319038; 319364456; 870461452; 694507177; 342084890; 165249536; 572205981; 618246587; 960284116; 356594950; 681944367; 545386101; 148672141; 948262533; 493205113; 642025803; 719929652; 259833886; 296829777; 668993367; 979474244; 663309934; 915875025; 717555741; 176772730; 466964330; 972916374; 824655995; 612222356; 716184918; 234690425; 667093229; 679182069; 180829615; 717232235; 619374456; 665344420; 160475692; 937173092; 451290265; 698847830; 895656770; 285784355; 112904809; 742141419; 409486875; 54165492; 756609185; 790767975; 293671891; 133640718; 98137931; 687153752; 910153839; 644113458; 308922925; 754291746; 80024014; 993188150; 918545260; 349731602; 810253861; 745418011; 532093722; 747670870; 67994161; 220139902; 288024810; 442889032; 35745642; 780208764; 907437674; 526965944; 830445472; 141102296; 909407529; 370468571; 288428484; 425262669; 835500738; 340947250; 617106209; 453766252; 147290103; 309208524; 332519526; 217380476; 456094364; 961476614; 785146497; 433104183; 810500946; 697196408; 222016721; 147735923; 779356685; 688949090; 465142709; 220915609; 685394997; 161586723; 141735279; 408633910; 619062152; 149043031; 806042480; 660808891; 582091844; 646261242; 618410; 740620670; 962921007; 829708339; 177198287; 139185645; 154934116; 332869410; 183514809; 526354280; 274846633; 478956333; 575369483; 412617216; 762659844; 722807424; 244498257; 983662712; 222669348; 330300989; 960741756; 116892145; 45668480; 100495268; 847769746; 494018865; 381441083; 817391339; 433829954; 712234932; 761222177; 502561548; 912690545; 674823643; 523130346; 104734318; 756094088; 966291985; 347489277; 338249913; 512446119; 504165240; 725451021; 375782135; 532188835; 597791956; 524551474; 794084051; 130320774; 114096078; 104709907; 622904041; 805547514; 324740492; 113123319; 412448521; 985929814; 599419106; 54523901; 392607608; 334282936; 114951791; 319570576; 114194945; 973841894; 110652161; 550742457; 47101653; 31963195; 628611906; 589911586; 62634234; 850782871; 708904817; 150921320; 652258459; 873572484; 110807640; 79152626; 911367464; 83094153; 591488090; 423908202; 568049872; 198075196; 406291820; 393725215; 76936961; 852595018; 275384059; 834837226; 125331771; 262797990; 385918415; 338816150; 575452759; 474690548; 362504677; 781861903; 542905832; 385993371; 489248163; 509536466; 507287103; 186735314; 145215553; 605739580; 728758128; 709374407; 836589511; 211580448; 122272610; 114297439; 678603469; 941159335; 697220322; 585440651; 161749105; 585554105; 363462453; 699715191; 447758073; 636499310; 703033249; 228473291; 609798502; 34543524; 520590068; 632522248; 225318501; 81713709; 939956662; 109626249; 159321616; 220515110; 35495444; 704569366; 66063165; 994434197; 735686974; 30716684; 32954171; 986472967; 198804786; 859626549; 481893714; 311966788; 770108148; 451832145; 312435714; 878224469; 402594670; 516480149; 340812188; 577849333; 335531648; 790139766; 575501144; 20074617; 693724053; 293167754; 994919211; 562869025; 129507452; 191508034; 870140753; 56047313; 551527979; 61811968; 285584627; 33328593; 462143193; 901711239; 3839049; 962126371; 259631790; 405445156; 297490662; 392481940; 411257565; 187185138; 996829915; 492290409; 669966383; 333203453; 459724269; 482575491; 582581997; 371432063; 199729181; 686069763; 346314071; 123050611; 824480188; 124499439; 52650978; 865353273; 368261485; 24881613; 701073088; 319396489; 691586765; 475223909; 74390366; 536846112; 53188786; 644836271; 102647120; 709925049; 356548252; 451394681; 360599504; 951361826; 245839023; 942496219; 483222776; 706656261; 820791317; 449952553; 499595817; 753182741; 347880611; 356634204; 10947438; 208774870; 58285304; 951951122; 400037059; 448747179; 876799362; 147248073; 141085814; 464599129; 742551144; 836909331; 637893993; 101913891; 65191905; 849792775; 291880390; 460106495; 304559476; 118000142; 611710666; 924371587; 366362349; 443323059; 914115465; 425005507; 981649320; 372635212; 994298926; 539047597; 262107893; 922385333; 949858349; 887666526; 498908797; 605729185; 784240505; 636668015; 462637665; 234550184; 769406235; 424127482; 117337155; 522245458; 371562589; 758980106; 553980108; 654971621; 158352645; 652259175; 216475488; 140669367; 511115279; 979731055; 621833914; 216514877; 384527840; 803977341; 773637396; 850852054; 133961208; 747442541; 898880329; 252813859; 454621418; 274597410; 814783839; 549559897; 631866532; 947147293; 948674252; 777472383; 387054676; 350660752; 761702649; 567338215; 800109996; 501383763; 811565590; 604491446; 847086148; 373961812; 303856435; 421941343; 121961547; 121435845; 410907267; 509785496; 129476736; 360258087; 997029164; 977136416; 993394682; 772195655; 995805856; 210091480; 882440865; 869958583; 646418209; 794445433; 658889317; 60588184; 418328386; 173168950; 441713771; 290736346; 531750748; 583633900; 933808685; 859091239; 567272467; 759986416; 785408863; 524678137; 107332495; 30422453; 728573456; 816993795; 764397388; 308564842; 876089984; 233551342; 272116690; 930299041; 298330392; 123869734; 741467716; 429249455; 984033974; 464817166; 791891684; 191861567; 869014641; 483754025; 311166741; 706556279; 540518185; 695648979; 206751882; 396165815; 233497442; 683437999; 333662510; 616775865; 55940155; 798395972; 930678403; 395181145; 672225788; 626992343; 436889747; 763923595; 212775405; 566686494; 730397262; 564022261; 178705456; 657438131; 87501909; 792957293; 836034789; 361846090; 904333724; 522625684; 559783354; 869207131; 788538582; 213619928; 609395192; 186450494; 26706188; 679586871; 83492727; 163871449; 710423073; 664433227; 69205703; 522681821; 700923645; 387703912; 419031468; 29219236; 23209141; 324244938; 37099744; 973228873; 634520576; 447333475; 234800459; 239398804; 144794143; 637869225; 515844524; 434016146; 511187955; 333423311; 526530832; 625279823; 14912588; 646542549; 717481168; 629496324; 766403512; 780831286; 840217857; 89465628; 707233106; 918416363; 494617348; 446573192; 713470002; 350904868; 347316307; 57765669; 384351095; 315880156; 974218818; 124665201; 992529014; 249590592; 534815596; 652290538; 181244168; 61922092; 220008911; 142026713; 671092873; 264498505; 370482242; 90771651; 243723750; 162431447; 945747403; 94796884; 768018322; 299081104; 96473894; 763302232; 971543940; 673869773; 559952396; 789325112; 95166449; 434535304; 438372342; 363201109; 334251004; 485947993; 878883605; 133526893; 528450084; 99168212; 744589478; 741568127; 449792404; 354164562; 40375492; 12209993; 580102196; 666777832; 602474072; 647948735; 3737829; 147751414; 773040052; 182635; 108778522; 568915043; 787584675; 427221534; 967662863; 859404736; 230266631; 658903434; 945692375; 255661535; 496239450; 691548400; 501213035; 813750059; 242880991; 165912636; 790181666; 880996728; 212017848; 908340205; 547639609; 263463691; 779849829; 640234328; 824049284; 586197647; 471645518; 47731671; 258785732; 710305963; 737106960; 648514728; 89873066; 955517360; 484847967; 136349155; 671550111; 580228564; 395546022; 570672797; 34634363; 138563209; 719364670; 640889735; 116493170; 330553164; 717593690; 355072441; 646996537; 736409429; 304536937; 875603171; 77805015; 504975955; 683775571; 692648974; 477580255; 366324434; 511575072; 36026935; 809105316; 817485841; 234840687; 645176348; 853771063; 889540726; 847587287; 567830097; 990398070; 815594002; 352345377; 634786219; 845537276; 659902974; 359850463; 166696237; 475113038; 597847681; 774721580; 30447849; 175151725; 386305283; 105842088; 353309986; 95389262; 171545547; 51207066; 191166182; 787880404; 455287580; 267619981; 282034206; 269376442; 221163451; 208675253; 663939410; 769908950; 834433364; 157200475; 94759224; 382417222; 364239941; 680674440; 754315499; 607778236; 713645524; 650672991; 510334190; 786557448; 364273855; 726680164; 909368723; 295084039; 618114773; 439717409; 633683677; 779824559; 311910934; 794023712; 307373674; 975777204; 926957112; 252941124; 50785573; 804610625; 936024143; 705328323; 991314868; 528547958; 343660251; 57593422; 505592441; 522268011; 547220080; 712567970; 739742375; 442367986; 703320003; 749052; 862516731; 697482480; 129123574; 590728461; 192436162; 244354341; 828083514; 505729759; 904177423; 345528039; 843301940; 413327598; 932714483; 669800361; 955133641; 489903817; 817074185; 358601003; 483195784; 923673205; 391658391; 283769408; 209311898; 856254367; 242619884; 90972439; 412945641; 552117048; 651886848; 49875272; 31570335; 877251409; 286999934; 161043476; 802271788; 326931455; 273539194; 660160574; 220970713; 674741825; 387720355; 432281800; 387052952; 797462016; 49722665; 436339396; 222114119; 982585945; 360430469; 934968789; 588763803; 882675316; 775036124; 762141334; 933932690; 576682023; 390897809; 631623102; 421385443; 434248004; 448125977; 717347107; 780680535; 313021007; 387921582; 868018649; 598269016; 490296397; 321265565; 371399758; 158087230; 525243790; 750147076; 601180268; 309118558; 784521765; 731221411; 664426633; 340178558; 393941174; 259335550; 76125688; 587457648; 674636782; 123412327; 399726106; 921994469; 828178616; 572432397; 193730690; 330983783; 713409071; 513426450; 159876201; 279435206; 351228360; 19275485; 4304357; 998772866; 838943729; 856735371; 435789540; 516057022; 675194557; 897705543; 699456612; 205806469; 471189932; 141309408; 403507488; 670074850; 805910406; 689293018; 823221446; 505447323; 529813038; 429023104; 920854026; 306871270; 108533993; 999305227; 106501390; 938604520; 965434359; 61692357; 502421129; 302512105; 331560305; 714479111; 50864708; 729153386; 253918335; 924697082; 618477059; 495415637; 829388280; 135160856; 402771852; 363253716; 711462222; 342755251; 708128827; 423711621; 616603415; 802258255; 503073010; 591805583; 38656846; 661322254; 487132366; 445721197; 151427089; 285076788; 972628857; 213289251; 255591922; 721641107; 318923207; 76595837; 718208841; 954871546; 791534258; 365799610; 848691661; 247126248; 461966489; 859010425; 811370238; 472755146; 996242458; 513906148; 711807449; 54620974; 298083624; 420486212; 489082405; 282057687; 781017210; 604954060; 489102895; 430605036; 836465866; 679404718; 615443582; 203079310; 332917684; 51245717; 204650604; 88067932; 742769054; 123904803; 419039294; 830941069; 353198418; 763346293; 197230926; 98376231; 313123934; 245553527; 410841865; 803079104; 526696748; 839866137; 796758677; 287063695; 949846236; 280518386; 50892702; 790234746; 766085814; 835642842; 860820074; 239626025; 893266648; 899558582; 228369429; 951904893; 286558101; 4441901; 706962712; 23363669; 917928297; 239808199; 521156244; 303337947; 710896143; 458430964; 819070982; 569208530; 973490399; 358571557; 514845948; 998041851; 429880334; 151579152; 583697355; 443392308; 200974585; 907679799; 324840308; 799222916; 749782910; 278974195; 116185700; 831724553; 892030259; 155043237; 711052789; 756509318; 154838684; 313367043; 467877714; 690160886; 264195313; 245570771; 987956253; 663900608; 621674438; 657099925; 973484081; 272279171; 424127481; 200940882; 527963458; 134374478; 48090944; 758994160; 54006683; 348725734; 754989485; 732886245; 539068323; 4999465; 804015582; 262085601; 912819551; 401164581; 549972408; 259711981; 156918579; 67819713; 2860541; 544413692; 268687525; 459777126; 278608561; 50958690; 21809282; 936296463; 811239089; 199973616; 761078770; 722316254; 500115719; 679162896; 381163849; 675512751; 299986512; 536323751; 427433484; 561497111; 103699433; 348339397; 217002553; 534934967; 497958696; 379682404; 872329413; 179176950; 548855106; 35799405; 930860742; 315749807; 834344525; 37550344; 208769757; 536872294; 33748932; 37439942; 593306682; 67684710; 196206784; 115351515; 991139841; 114072939; 818240233; 565625601; 625095802; 977022434; 604099737; 565218999; 473646299; 439320491; 816015938; 631013132; 626334419; 186400599; 882151420; 981399434; 66803220; 393353039; 829144641; 462542281; 640433211; 503009605; 606908914; 825420360; 295650246; 342304395; 789033465; 215086700; 855420574; 131296247; 993657577; 87514843; 382009611; 688253913; 221869744; 128733517; 776687996; 735520176; 271400720; 345321372; 539682369; 787331048; 529096126; 148141681; 690262202; 218789225; 372898988; 508926927; 862576544; 624765648; 260694345; 41125454; 754571273; 977829907; 876247028; 525039308; 130712689; 946705074; 399322890; 171775821; 973250829; 17890508; 289475912; 952751767; 359690128; 161935639; 999393894; 465129521; 158354601; 724105866; 215680689; 355851980; 942773758; 98935929; 144803849; 284606955; 414896528; 433503558; 108557301; 42143237; 578031597; 342057903; 201923442; 246782288; 900603515; 383319619; 516229516; 787525200; 758462287; 439931268; 279821553; 573032536; 154025070; 464142181; 998431397; 308974470; 786892252; 126168762; 379370937; 896648525; 909465483; 374834653; 370002361; 47532589; 996819098; 591585621; 973864421; 607526706; 702396132; 196838322; 744929630; 863794782; 902315058; 615206820; 434310129; 528075950; 518089603; 617336853; 36094186; 183245483; 16930329; 745132718; 93601774; 14713868; 845506957; 296106643; 915699119; 927276459; 659101344; 887402252; 659580542; 170726278; 556771164; 337259837; 192352288; 43020394; 162901129; 84417560; 408718049; 65679967; 375209297; 309098306; 779129644; 822837520; 265512127; 328259286; 27935292; 545806242; 514797660; 736882815; 553306784; 387120956; 407207802; 255363472; 819180375; 407385551; 722700999; 38411898; 592379784; 586382632; 271642784; 159017557; 296528475; 491687592; 201786728; 280676076; 678794601; 852635187; 162451953; 414863116; 721311708; 436516355; 1178999; 861766954; 561986646; 629639024; 442286279; 243731837; 929665254; 418386178; 781560318; 541822797; 697817058; 231220914; 891615077; 918384524; 711184425; 939184450; 107310140; 122742854; 832094229; 121529173; 340919545; 945921201; 430030908; 431462707; 942632119; 523166618; 778467777; 786254017; 691364177; 909300008; 766191707; 641488982; 907281837; 727723414; 739436467; 693970169; 44074125; 911030741; 106078522; 878561881; 137711288; 584518700; 159024972; 177096819; 287016287; 516715443; 836844846; 371185033; 16379239; 665482751; 337738038; 772545413; 718816596; 376927706; 648830282; 963097343; 327736411; 762318164; 946543417; 34576269; 560686002; 580268397; 548484296; 427902751; 302815133; 199877298; 966115458; 523889527; 366679991; 170583288; 504438383; 458389772; 873804234; 163457852; 677036288; 522010530; 648962186; 653475565; 353069803; 193472444; 343264989; 884524028; 284690004; 571688077; 925462329; 773892153; 999270592; 143942920; 799256578; 920592757; 115366565; 875458771; 762236727; 860865666; 956443185; 855217228; 356322323; 750283209; 343698327; 904836744; 872445976; 802391322; 849413614; 439316870; 499446666; 382870006; 654701659; 902438931; 301712444; 568513323; 103257806; 794959294; 468969021; 510938210; 309391607; 546747152; 637031744; 57779852; 836056124; 524847918; 288018440; 297107209; 953801745; 836933201; 564579217; 200245564; 761848211; 201661058; 535616489; 434305232; 587552991; 131621621; 285704237; 555418568; 438427205; 305140579; 345026500; 414052839; 377017381; 347437553; 534454741; 633516975; 297241387; 992759648; 273227074; 258396668; 124635619; 771665356; 483459032; 3986571; 448173848; 627286407; 101162590; 656977643; 988789740; 705587064; 712439783; 282580216; 269527473; 174719818; 192450692; 81665048; 827602920; 901957157; 253867285; 971444006; 963946458; 183404941; 808894722; 148512446; 467989853; 860333484; 287576423; 859896385; 576535000; 58275570; 454720632; 482560810; 676131790; 741969582; 856837271; 148273919; 412043906; 589386678; 660034506; 100442320; 211084914; 741722691; 501608998; 905136359; 473674000; 261378343; 308260669; 737252421; 513343871; 303420822; 377680622; 297816455; 192703364; 86180594; 262976151; 470593807; 766221573; 523425597; 18369709; 582586594; 15431546; 238417944; 298878487; 578107427; 286902568; 407691347; 120100474; 919717905; 403173524; 259709695; 563377762; 954103173; 554013203; 740661171; 866702194; 255372010; 290701040; 813319484; 944760258; 62161000; 575581408; 661467622; 681748516; 230522971; 152343446; 186785174; 91074868; 462099824; 847274327; 970169865; 37771633; 133096866; 59317043; 79387510; 373048438; 40350819; 135772408; 221143684; 814993850; 257059509; 710605563; 725466403; 633980993; 796634065; 158064301; 233958291; 805891383; 979293416; 580329628; 787262059; 633314621; 231394192; 675461348; 938708222; 539123600; 813498459; 199103236; 720033974; 842461065; 54453788; 609939687; 846846107; 649699540; 528539586; 256630112; 664780586; 777273222; 480716841; 468197890; 381953298; 819932316; 459032856; 954516687; 61716714; 577057795; 265102803; 43249939; 992221166; 569672702; 230453523; 940752640; 820142267; 149279043; 75276911; 797608117; 259355897; 409225133; 753187712; 48702654; 336722569; 927771529; 123890469; 922897682; 994569163; 589527140; 601278052; 260573311; 720357870; 166711485; 998362029; 450033896; 127827220; 175364305; 680385590; 570143290; 934914880; 594057741; 205405305; 632662725; 916002706; 493909818; 977316382; 999347937; 65938021; 427623801; 43442589; 117081811; 342754821; 419143568; 287965578; 693153874; 781041860; 627247954; 680444978; 812797036; 175025447; 907627796; 996432068; 461847571; 751628028; 915010356; 343108941; 611005078; 183083677; 485926380; 272269316; 293063156; 204409997; 697182210; 529853431; 435410879; 661652009; 785829438; 6341402; 994915770; 359720844; 122316828; 696732072; 348164111; 960123101; 281562239; 636471962; 582329770; 151690646; 236261123; 918408542; 447320894; 75511995; 698871483; 435983619; 390437172; 139390533; 175228271; 562068292; 340638344; 265134365; 871007437; 181889623; 656654194; 588182074; 446073177; 385224938; 317508879; 492002253; 22288029; 716595596; 888505663; 290594241; 472521198; 202468977; 472285703; 675321705; 494308648; 238449968; 518373963; 597435559; 438590785; 899202183; 56119171; 439461682; 315768373; 612818890; 371080469; 547282098; 300606201; 143981703; 199248484; 513787731; 299664997; 223805213; 679201302; 294714474; 647997571; 443401398; 346999732; 395000392; 684692188; 264152919; 256858049; 175948175; 386779384; 352346967; 689434064; 960392355; 818854588; 97428839; 910509047; 88596066; 868588526; 476981223; 53258353; 240257037; 812334135; 980616644; 56043227; 606734079; 443226259; 583138829; 687694044; 137689876; 291439036; 818336807; 704806894; 424891919; 266463815; 719299113; 744006376; 814785471; 135633887; 733177496; 78247204; 751650402; 306450375; 673381582; 562259544; 706266178; 520540233; 889153174; 170644056; 494694193; 424345456; 820916712; 587748270; 922466298; 829471579; 106646698; 573779763; 947124293; 471129852; 286420668; 706139608; 605334642; 341523445; 444439456; 314294864; 794722471; 840709590; 896741938; 6175913; 464950780; 492717917; 601196120; 73460084; 83486540; 393934239; 228808247; 814285361; 641290622; 763575786; 418426888; 991665717; 910234248; 879095686; 216033299; 693452585; 487920739; 991478126; 731776621; 836124411; 983511689; 970119350; 565952492; 260660180; 466379629; 408585797; 150122453; 624533772; 28375586; 86769922; 207964322; 929931104; 83079980; 521791406; 909693144; 964092031; 254630924; 237638256; 151413174; 488120809; 150378657; 51487877; 947028469; 315685109; 715652862; 980635361; 523588016; 44824741; 730017625; 591434610; 701113798; 730103128; 415707599; 101409332; 353876396; 198850418; 665632711; 482693909; 516084758; 162103090; 695144079; 665979495; 590955810; 923775223; 721169338; 883529679; 740595304; 892709399; 950614139; 75297248; 282862842; 564393186; 275473664; 894550957; 825765083; 352110602; 66099804; 153476348; 45403193; 488438243; 556943640; 760339085; 742048164; 297199625; 714328309; 61781913; 627797587; 56510512; 817810275; 713808866; 580908476; 562488369; 487994518; 79825604; 917080314; 955746867; 828527122; 100088772; 451872031; 154726852; 952081214; 846983775; 309451426; 868496750; 606893344; 143942251; 533862662; 246123437; 379830087; 905397028; 638857002; 487279854; 921290830; 655604205; 955731528; 922131916; 335767429; 575939744; 165216627; 856969380; 299267618; 96940553; 329230750; 374215668; 564289494; 710375848; 632804864; 287261323; 240101972; 281434172; 755471750; 969789791; 521449268; 475047117; 418723320; 334261201; 666269923; 117665135; 830418001; 153786364; 881510295; 776763567; 593413455; 23321095; 936216165; 208823522; 334526556; 535057523; 472955044; 965896881; 835426941; 265338622; 654860335; 212658718; 156227112; 225830579; 920841862; 97642954; 279322827; 597071867; 841172676; 422931805; 232809159; 505316937; 967089300; 483484504; 103309439; 122191885; 411098523; 987459320; 540692627; 344270089; 923890182; 756264174; 429282675; 710638310; 260500221; 452307232; 190790846; 703351558; 826353309; 932245433; 458718348; 440869037; 95711352; 961050530; 612430014; 714095832; 838654919; 833686122; 959015882; 617132287; 591759707; 906999256; 933221441; 414681774; 157358069; 346768796; 873559092; 275311548; 901399133; 491666736; 61002846; 311519348; 540064519; 870150750; 981897249; 906716551; 235862751; 229640853; 830463082; 397286167; 692133278; 957481549; 549653033; 440077558; 788977986; 584865906; 287106195; 475247429; 239163926; 26780037; 424774902; 763680185; 798166802; 525596468; 329936229; 464958632; 552335185; 800783620; 863015384; 693588186; 806811423; 164402765; 485026128; 584302578; 339284276; 234443784; 899814044; 62801894; 122047038; 14061882; 192416967; 716937743; 264754244; 804417461; 157549301; 631406999; 499038610; 238484492; 687822551; 443460025; 249466858; 760372310; 141706574; 708815330; 285793087; 886740026; 503870195; 388580988; 315699850; 784007050; 908872184; 826480710; 291748471; 350112169; 934068180; 982291152; 523056729; 868858960; 534263673; 49796801; 506577900; 776837321; 303474624; 594791881; 369776795; 690084556; 48404682; 967451709; 117744449; 745203079; 401720533; 184846091; 435815392; 533235548; 683698742; 61429920; 109751208; 61993444; 594544909; 215582376; 614222383; 39079321; 769042729; 938925663; 701472031; 473374767; 500778991; 615698461; 583252897; 562398639; 59244887; 299947642; 551763428; 168075786; 116343891; 532351958; 762391314; 859096579; 873760453; 87831091; 172714012; 718044495; 65589027; 745796636; 508992133; 344301778; 571924505; 650814952; 687683002; 854407911; 633236124; 58273804; 15004485; 376501697; 536860891; 32201389; 527873894; 872541416; 645762421; 130530668; 773235388; 218130846; 640163770; 125554671; 700800870; 937442264; 280623626; 596093742; 33235938; 487866024; 401145028; 441355449; 965234949; 834844497; 374988036; 674694939; 427550041; 821741851; 121483976; 692554721; 622309477; 202812072; 970361005; 394407121; 499186524; 449148526; 773619312; 870774967; 460168166; 915796113; 614369025; 103288862; 755144645; 577684255; 363840181; 738655687; 195474754; 548639807; 585390587; 672922798; 438204778; 355929949; 736839939; 474433349; 479866518; 676532518; 705156272; 171220251; 79393072; 143835631; 380050591; 138963098; 696201416; 736719187; 750288917; 690561354; 105766936; 763322654; 762652220; 713379299; 191503992; 397094154; 840692497; 648409904; 7792449; 989269389; 277374296; 554530580; 128419401; 682746611; 918027351; 370681349; 217935349; 534943883; 84590635; 842316012; 200860060; 776868523; 571609507; 547755948; 498478911; 139292891; 542338304; 420395549; 92549880; 534257067; 22898025; 455377957; 174717204; 164140555; 849989774; 123620176; 644576441; 414066722; 729138040; 824572432; 947834622; 180464031; 710890653; 472271017; 613674905; 593016128; 871038411; 399191; 190398952; 777478367; 479111441; 248375976; 937647836; 203604353; 489502750; 473073985; 933424578; 702303676; 248754071; 720356513; 745699978; 631072955; 895742857; 779744951; 755545125; 246730262; 280100439; 815866078; 732049361; 329434046; 274732383; 132580788; 320488189; 35518717; 617905349; 559340992; 956823223; 555161611; 632843321; 734661996; 12015986; 778193767; 83346726; 120626162; 245615184; 621589550; 369104929; 738232059; 43491660; 536420941; 978467733; 615686312; 544896973; 738750059; 804556770; 796618719; 287304998; 286273513; 473665279; 748073826; 371210278; 262526552; 182828122; 816957295; 154390876; 801790290; 813098697; 794577011; 80515197; 470278221; 506059236; 436189703; 966918479; 626572719; 245863160; 292184347; 911921762; 773952225; 219100443; 305614933; 740449676; 973335512; 868851964; 576700937; 854547821; 408855037; 578352824; 374199105; 364339430; 415329736; 706182885; 216151965; 654681024; 738362851; 723023314; 385546647; 797520396; 368285767; 907073547; 378686891; 746058190; 469574038; 226396615; 343991409; 855212674; 37069095; 136037335; 512681461; 181537820; 628788994; 154831616; 454888241; 674796279; 997708893; 323160762; 614452030; 886986660; 214366572; 250248939; 838397244; 830171495; 496872500; 470276641; 367104959; 370239443; 459262182; 147657407; 561343399; 613019485; 770594008; 481902937; 839536177; 700971153; 577567232; 498919850; 152535211; 936202494; 217615955; 662842516; 737595672; 418881311; 492201555; 760533546; 592786185; 374367012; 800635234; 552962428; 910501877; 601250324; 221993220; 173553811; 504954057; 163235665; 526210927; 917425152; 94916067; 946711251; 316396976; 642635578; 706873873; 604515209; 105376410; 401438596; 829951653; 933144992; 675313252; 924657052; 588707748; 235916715; 991979999; 562613924; 929048842; 641934737; 312790544; 894788696; 895646083; 482784340; 90672080; 342929734; 548608281; 572932609; 547998283; 558911653; 27209108; 876357712; 462839669; 726714504; 102651069; 327120614; 49479217; 728506248; 382596010; 457480722; 769893166; 764179563; 700251204; 435379075; 636429166; 905778713; 43770334; 679374076; 323322269; 687494366; 998107963; 271564500; 990515627; 308231711; 628837893; 896128917; 843320208; 382870887; 264714357; 85139429; 140348119; 578631147; 354538822; 4048335; 210195764; 629062578; 387641628; 221676559; 347311946; 298561879; 409653590; 106542022; 405292117; 986894746; 747645365; 640572775; 365361789; 839032085; 346573067; 230133271; 850199492; 685088021; 255108698; 201707868; 652329975; 340873078; 579521357; 939530378; 797875742; 173243649; 518461988; 773598598; 167654640; 891350609; 420109056; 241438267; 965409057; 846322747; 255442642; 293168890; 477309059; 214401933; 151575989; 999686802; 671438292; 403217671; 279827496; 773686537; 624924847; 864109687; 498835900; 526181526; 424562823; 370132077; 958021142; 619361621; 689926739; 914945229; 275722006; 451459162; 505418695; 786306709; 788057705; 399418096; 327174521; 995846504; 848399330; 366626143; 892714067; 784665677; 796982979; 963692215; 838644547; 250909301; 215607524; 209425645; 33637024; 487570401; 944090701; 236637806; 261742033; 961465464; 20203639; 943989676; 404364187; 21084007; 937641771; 988076060; 23371151; 544545664; 77781758; 754681749; 67622818; 635418340; 866612061; 140485141; 191154401; 636846662; 190714451; 2452550; 65681144; 196385762; 285441348; 616432652; 105624619; 656991385; 633956222; 430353799; 80240626; 934954835; 80890200; 198959226; 635493068; 819089308; 605896178; 485714928; 241218845; 722625242; 371366260; 792131562; 655871913; 791038563; 190839385; 864979334; 430678910; 847052480; 802288291; 773241783; 993873579; 57439035; 343400372; 368124417; 754096227; 371522658; 975032317; 449630689; 909454111; 690107781; 814417687; 144781229; 115784844; 285248427; 198444196; 789288102; 668831166; 309150763; 443360455; 109485013; 680025273; 62376392; 311141990; 743072586; 667526187; 30578159; 994643860; 74715494; 212887928; 148237342; 760203288; 745330428; 196606693; 987754525; 437758794; 404891190; 937507260; 613065375; 102070911; 15229914; 151328645; 838102532; 236232220; 191519346; 429042201; 478285367; 772631417; 20458334; 940311693; 276518589; 477835738; 246283514; 97074812; 88734161; 92759848; 991820124; 102495961; 314093431; 661353111; 971206438; 812007547; 414036725; 482045967; 154771634; 811610519; 952305795; 801942713; 198903183; 399949626; 353840075; 584403139; 466768740; 947602240; 127701071; 252170247; 211629586; 347497091; 752980204; 558608593; 234034966; 680793786; 434144943; 57958290; 606329832; 353435816; 9006563; 894976813; 295976637; 334004455; 267514398; 656565280; 364751667; 59398178; 455763576; 44453277; 863027875; 477682748; 839601955; 141301828; 711649616; 754187159; 77493080; 766826490; 168228087; 307978046; 621514422; 7206479; 623736142; 597169952; 955865176; 32435835; 34354190; 633256567; 979190122; 788668453; 957222349; 950409696; 864639486; 745587234; 45990883; 553811285; 230963018; 648629578; 615339344; 594159037; 113687207; 482272232; 119558572; 21751453; 742704770; 199786164; 734535653; 605823319; 731709787; 74619403; 538943114; 409357894; 649600862; 253730538; 562013278; 274455824; 517429287; 783469245; 711357188; 749042768; 883933280; 173351592; 686265159; 975352470; 156354564; 485077778; 807096668; 966395511; 782080199; 854068023; 96785181; 745293616; 851404128; 544373979; 680728077; 447380400; 820657423; 267073584; 266317815; 928059589; 637387117; 803875836; 840953589; 175337463; 725246466; 595325250; 7932068; 319641824; 358185802; 444374662; 522445087; 883315649; 438792029; 822661433; 363196247; 109490145; 353379694; 932549278; 911392589; 890158943; 400901370; 278910050; 934345056; 288086163; 447397669; 529673002; 303391581; 642684909; 510436052; 2452068; 783500104; 213898837; 163176819; 935512293; 110894216; 387421793; 689705100; 716631432; 641549776; 216267831; 919877366; 372224659; 873288035; 583939456; 38472254; 904887784; 127864388; 645092081; 822067636; 63285009; 356798095; 459607521; 838805039; 632339124; 1468712; 345603638; 297307149; 894899100; 409565086; 312052073; 351531128; 967631542; 862708378; 4221787; 489024187; 460792097; 425122296; 701036372; 169239436; 494768730; 703596537; 67385173; 25248935; 240309742; 976449435; 715850128; 546273897; 398650009; 604461635; 892550973; 880573467; 357826380; 267726812; 119458518; 130031115; 479147030; 259399620; 713683481; 612300755; 160183579; 40526590; 347305188; 912364449; 974932502; 350439057; 883625829; 56311945; 737304420; 809564853; 159316934; 227438176; 20647206; 736826475; 295440742; 329147913; 96605533; 335614883; 809573801; 192244507; 13358584; 860718084; 770359743; 820901900; 592243826; 452370547; 508411417; 797887629; 50959861; 164955685; 970419576; 464568409; 94330999; 136983671; 414676345; 9144979; 94703430; 483891575; 616654624; 83233019; 545654569; 737001285; 912502644; 80498787; 799357849; 526498057; 506040441; 994825342; 457032474; 707597693; 454376690; 149429459; 565710807; 897185101; 879503398; 481909735; 804884057; 785716323; 217013060; 509816336; 314556963; 861767112; 193288261; 629364344; 491583266; 168127655; 254813330; 780232306; 426954772; 842167237; 274682856; 166632736; 499420123; 839558997; 424382775; 975315411; 938344038; 841052896; 652860952; 900218636; 520999118; 963747491; 643594968; 553093268; 112618230; 735427407; 443546203; 719741168; 258681933; 741408560; 610184494; 81265557; 401012702; 282621574; 143498856; 126869200; 657407790; 24582852; 520490498; 937823245; 852778650; 254141537; 422310951; 477771511; 246330956; 510450387; 162542121; 717534495; 656062648; 139109222; 382246983; 504158742; 756828196; 992001664; 422351855; 40593011; 912911695; 788733754; 568072556; 798263339; 468221402; 604627699; 745571081; 54329265; 224379249; 16978652; 158477961; 866341527; 754286691; 571870407; 61292560; 580928799; 809666583; 653411711; 711680418; 739784545; 461402203; 962552564; 700932188; 755151248; 872691290; 271840409; 144059653; 580569000; 934252118; 947047882; 821841106; 867633537; 57681533; 411543269; 249593245; 151495692; 376176671; 937687912; 400555785; 177861240; 144494917; 268959441; 173539479; 447521749; 191842288; 580573710; 546342650; 134134906; 244680700; 283203045; 498510458; 140316864; 81467865; 873366708; 919734154; 612221827; 119355976; 856832903; 722595998; 512198518; 199039326; 640300177; 516620263; 417863209; 480229147; 956452607; 839727306; 285531294; 36604378; 860114927; 318377287; 418197852; 993840005; 566446195; 975488721; 341189208; 627622333; 73667105; 464333402; 193258587; 166718377; 70390886; 174373372; 838006823; 765809563; 665977461; 187569982; 30626304; 494538736; 949703767; 778590642; 949922871; 946869598; 915027418; 314072286; 624427031; 942500740; 359490187; 81239799; 759086484; 367325823; 161645554; 785936762; 51373534; 326110723; 374272050; 391202444; 876225223; 935860883; 231896403; 671607089; 110891714; 373375991; 445458918; 528993496; 561880223; 450846125; 925988030; 138344035; 997994271; 65031049; 96349637; 660572156; 555040750; 590393181; 322762122; 415009817; 148320367; 158407900; 952772042; 902890867; 551586489; 940862323; 843626195; 962771051; 603844712; 666644326; 374393081; 225191373; 21278118; 57386114; 15140219; 925951430; 46335618; 843157187; 141149602; 64428558; 702979676; 885069899; 529192389; 483243507; 117237608; 714026187; 145750521; 852396971; 37046850; 94767189; 895445330; 799740360; 812901332; 958582623; 184907230; 922115856; 590526681; 703230716; 395789462; 441477394; 759258463; 440258385; 787725935; 291746238; 613189069; 702923233; 377404410; 139677013; 365998506; 961256380; 435969706; 483317906; 158209065; 546566001; 358204651; 853426092; 30055646; 457226199; 358745433; 724856586; 768422809; 330854873; 641213220; 153942009; 324250109; 668924536; 680109154; 93539740; 748750542; 473539826; 622399647; 334242246; 992224325; 200315414; 259639188; 989705347; 402103029; 804780574; 636010559; 708225532; 669232369; 314089962; 507265996; 600357636; 316063262; 116158340; 429456680; 444212202; 438217929; 63128353; 614818178; 692242563; 687965372; 228819513; 510121221; 75637643; 665214406; 397996304; 500153638; 897529117; 915367161; 240130894; 22520695; 276334604; 926866979; 833784214; 835016554; 476286293; 628585804; 410231549; 576603884; 249007509; 839417781; 294019159; 916456143; 175813045; 760308398; 404844998; 68542135; 840809673; 172275336; 103261200; 23025111; 538492775; 513109566; 241547863; 674047362; 679548637; 265080891; 633168424; 126774711; 734752569; 170848240; 497095257; 96371763; 738029873; 758523862; 271415853; 544068378; 154316107; 794368872; 303347802; 635748311; 962265781; 887943502; 516515780; 239200770; 971160216; 773593886; 928853698; 535568036; 492062707; 220549273; 498493675; 701574495; 161915236; 637896528; 313891535; 581291887; 556719290; 382376434; 823465065; 831466080; 500852666; 842344037; 790340698; 21438197; 656656513; 750827842; 377921990; 528448648; 141186589; 728260145; 670905000; 715038227; 342286047; 966812948; 144222298; 381418312; 68520645; 563380281; 415273682; 15968827; 161719865; 879505908; 873922562; 877273358; 580569983; 848449682; 2933244; 749962741; 460763502; 311975615; 439897065; 764334511; 683861148; 8292504; 107872849; 826696138; 692316819; 121112593; 975731494; 335653947; 815347480; 660142649; 43470078; 205605; 282176925; 359873050; 164584845; 884131957; 432446292; 901674386; 651654039; 749098753; 342301452; 706262918; 608352415; 886486860; 491619783; 809670994; 872524327; 104816938; 130964085; 813355555; 329442769; 524781751; 219965172; 927595292; 532647614; 564947160; 998086084; 18937753; 763726301; 683175891; 858516715; 995702899; 745889716; 100792706; 153506115; 76372012; 521483360; 283086731; 89611203; 31617480; 55198557; 57549565; 563808949; 510553989; 391500258; 768943379; 368518150; 221290077; 376202603; 93375738; 750648536; 284354217; 696136947; 906544910; 96760498; 569201202; 259008825; 918587463; 20558580; 499952315; 753891858; 541627501; 487667754; 38885217; 262145767; 278674949; 756776636; 319106163; 923211243; 530026639; 677064147; 565683731; 947684540; 266200076; 663528978; 573292238; 382006151; 335140847; 793845484; 545746510; 187456754; 467016637; 600234337; 187123381; 160403629; 934170495; 912361201; 366042499; 189110624; 33666388; 416863358; 801158790; 829543675; 592334777; 375418405; 683880490; 654654841; 118432309; 521899517; 726161014; 229011746; 297748395; 897545731; 382840394; 629694251; 443021378; 567238633; 288873026; 560698793; 327517991; 886367713; 378003544; 383172707; 896538270; 9976827; 115073944; 661040601; 1376214; 430212374; 439554922; 770063953; 781526973; 350187526; 316400295; 933378979; 173428392; 262426035; 814450884; 488592999; 802921356; 221797502; 880801229; 603392271; 670842584; 65877096; 340617684; 923083754; 600896996; 500098312; 426140053; 393785614; 257907088; 828850091; 818442606; 963762160; 410929983; 811570332; 508120875; 405539468; 100437182; 744662122; 153380559; 864870412; 58466468; 337220478; 738511746; 437008022; 956113934; 348852466; 312113653; 486834025; 128203511; 779770707; 524093989; 905862155; 348270395; 124027670; 915430171; 869326758; 533964402; 384214658; 12824386; 857541496; 893583526; 533843669; 712768911; 585056314; 170458971; 347630829; 365297078; 245687659; 725292124; 570426642; 502767304; 312821347; 684515905; 897139355; 331215829; 456806754; 979563309; 267837444; 32074166; 953439926; 179433136; 337659; 258923251; 751468537; 49261334; 213184347; 149833786; 963697446; 417230731; 382390474; 764915020; 530971612; 121578345; 366107679; 455485684; 232745; 442778923; 860910116; 279080880; 813505583; 264563813; 665952988; 717083102; 882762138; 510974399; 104640958; 952493644; 799244598; 330081359; 805585320; 791298005; 952554773; 481269664; 923096590; 83426659; 693545303; 800841792; 971740416; 908456240; 67985876; 384318581; 260427096; 237090946; 496763022; 573031847; 412631414; 418431934; 51781292; 161496048; 449227243; 496618823; 355104383; 174734589; 238432978; 285620255; 866037537; 291950751; 757735661; 159768; 721945339; 521974809; 207984283; 653131249; 431783819; 9723667; 680998321; 823036050; 900965529; 110295829; 830246963; 855896506; 218850696; 494427170; 972685249; 837918661; 53344095; 689279273; 224556043; 473558953; 862935210; 674853974; 910603311; 538269987; 399910239; 18796429; 431634118; 91449448; 921583915; 794506749; 653538576; 117651110; 418552700; 85476135; 147755682; 281669879; 670747565; 823145331; 308077421; 511523823; 598235260; 412239799; 88131960; 884781840; 186110047; 375904515; 849310765; 868341235; 130290395; 315113507; 892225624; 534644521; 343073463; 451976860; 497962034; 408165227; 441903747; 573040987; 86977914; 123956782; 396610856; 931558273; 688119548; 790976508; 245573275; 291601581; 656248525; 298008695; 786772492; 613390146; 847099822; 974568212; 321246068; 240564386; 647928424; 847602720; 949016252; 338878002; 75634749; 492525584; 103141922; 998253559; 746996486; 169054144; 339763405; 642506066; 354178723; 522517737; 787172146; 733198521; 457606147; 777309176; 516452955; 234821649; 889419759; 601982684; 608441910; 738804935; 614207646; 716471846; 348406862; 200592107; 707019708; 624100061; 840281521; 458414150; 998086575; 227248965; 852880251; 821086190; 48595945; 399426074; 7927466; 538210883; 990327560; 490188897; 50689428; 940800745; 106269393; 895311027; 637955384; 961963731; 583068745; 351290155; 518841721; 124895063; 94346160; 118250393; 123751013; 567095575; 182110409; 222365465; 543598211; 511953088; 787948569; 310687219; 812023653; 606039563; 502728488; 222671322; 156224459; 154937941; 861139292; 782655294; 232746794; 821776358; 191623848; 34339665; 882976489; 772287636; 544615473; 597248991; 347417269; 260472775; 720535127; 498067533; 473599533; 819712165; 803123921; 114629441; 446524563; 407595221; 899654148; 155165141; 182572343; 582476810; 803824913; 96917304; 608705695; 32018385; 566127628; 29114836; 708600493; 260536221; 281263548; 537873888; 386393177; 681078981; 220181334; 787690871; 207665827; 267407734; 549721932; 531030630; 692173619; 984961476; 977468830; 351793322; 588199816; 479107548; 238954636; 896858407; 596981637; 903434525; 858801302; 821848353; 617487598; 132090093; 817975598; 772685445; 480303585; 488252276; 864278074; 869660804; 18446466; 410190665; 705905443; 816452212; 722333019; 114718899; 248433458; 621374398; 822690501; 344557981; 880791743; 782215487; 935446963; 189469762; 231860929; 68074409; 274422827; 291380196; 201378492; 311604057; 636679097; 674422385; 718934794; 80968584; 782344741; 386682386; 541978459; 600129945; 26473624; 356799255; 49310159; 549277166; 502769990; 735659307; 479328110; 147247989; 923591939; 408962240; 895378714; 458770547; 154366063; 595643079; 47154528; 649872477; 890566476; 870492616; 119349121; 349463332; 566058561; 392226432; 789726112; 444290190; 207795358; 365104680; 389859919; 483121886; 486461764; 612641460; 98575684; 250052760; 423985518; 228653970; 499410570; 854026828; 40881674; 452029559; 712098956; 620405309; 653515278; 98265128; 379052215; 408101064; 429179679; 565599961; 770055062; 546746128; 615313917; 286206970; 885340228; 924356842; 834804395; 535306426; 13996192; 595784505; 311460842; 812547195; 396454669; 347068147; 538898290; 30666219; 310822470; 552167945; 693377729; 648777736; 606809643; 416950238; 39116275; 994647640; 743743800; 547157237; 827393521; 970255773; 196340923; 912530028; 452604715; 269458809; 239757323; 229221335; 719808894; 846619707; 430449199; 371588858; 981649651; 687224424; 417070380; 5217890; 380904699; 229346395; 783590248; 105866654; 44850498; 797492877; 219508540; 326675470; 466150584; 465179336; 839443964; 586047361; 491757433; 440637715; 739189904; 609185153; 820658353; 297669685; 654572171; 678048029; 692327674; 773062573; 841516965; 454282739; 276275203; 589208831; 710851411; 220379156; 354647533; 366380643; 122998295; 812479826; 549098577; 604215178; 209814372; 914072055; 701935750; 875611418; 983205652; 596758087; 995053382; 948625690; 927681121; 465623278; 688864536; 226910793; 255175729; 34430623; 525424258; 393908664; 212282245; 64943964; 586190407; 266612941; 562803300; 689504719; 331042656; 410729346; 192705866; 885904105; 496045229; 78066311; 117923444; 642202124; 381229161; 823133535; 126034898; 914586881; 186561395; 565832678; 991932322; 499218579; 681919284; 491977898; 907078347; 283751704; 985884895; 967599307; 982855881; 22200354; 356593169; 645895361; 806316211; 482048817; 189490694; 550868249; 627232091; 738506602; 277389714; 900356220; 965465105; 642320204; 362466666; 906987727; 363216965; 742610788; 23875957; 533460242; 14477543; 336332778; 878604456; 485569359; 751912859; 538209978; 365935489; 769198444; 998031693; 328513096; 84148461; 319795204; 919112878; 261810429; 49989421; 188097625; 288377556; 165184798; 421486265; 436824984; 633858855; 267779772; 562760533; 16550226; 549205106; 276460750; 319480434; 855854126; 250497334; 813668944; 69405367; 953129364; 16664304; 691032420; 471297948; 339437920; 13902324; 605685687; 513155004; 830612912; 883389377; 876208357; 510861580; 893923786; 557222757; 983249811; 692201327; 270621964; 556158895; 315328540; 396380967; 580366028; 468223727; 63813728; 509272947; 566063995; 730371153; 775496743; 382960841; 235493609; 646046593; 948954801; 92908437; 291004803; 28454485; 913463518; 790740450; 182435888; 487147985; 421501634; 878007683; 460419315; 372962212; 624329582; 420504403; 150682114; 511386944; 629711016; 187031405; 350582580; 206440111; 227579959; 428276338; 727425908; 216702924; 968952334; 519584624; 50209217; 117928222; 996291318; 960158891; 521653959; 223107533; 143139910; 541790350; 407657678; 367068437; 559272817; 872192817; 397274366; 52845081; 199452570; 653984040; 227275544; 612505797; 491445531; 807283331; 110195359; 291393495; 681101683; 129576104; 492923964; 634780850; 192970498; 795300869; 287208728; 763265829; 852166970; 335304293; 179947098; 695272343; 120160302; 410302888; 831918772; 634181891; 170175529; 836062086; 199106104; 790204538; 899386796; 2306211; 260657160; 6944574; 192340118; 964882408; 104726379; 531278451; 788548997; 287376619; 463520714; 834258352; 963361740; 792281980; 621104506; 409176018; 286814982; 124381367; 450924531; 840362209; 918152482; 941738740; 696163934; 357543841; 375179419; 879236908; 838815128; 707150851; 13000434; 657219812; 896184373; 410799321; 254041464; 61276274; 963239117; 50420946; 156965280; 601428529; 52929091; 716428147; 609200529; 554011147; 543502765; 493577659; 78280222; 490380279; 950352396; 326849010; 777647061; 414951598; 976933357; 177811822; 642568524; 618400882; 4046329; 954193571; 959123384; 349154524; 454878775; 521535202; 685079986; 472853312; 440566840; 320525820; 490590934; 429953333; 370578556; 222823637; 125591633; 518683019; 122210378; 277250220; 308348652; 357575120; 58058720; 371840425; 519156901; 741623454; 484389517; 999979426; 149825589; 513275019; 517963637; 455117064; 60023032; 108110138; 282583854; 100625418; 609922080; 602279293; 361227197; 337780166; 258463150; 237433997; 755541788; 440633712; 667829898; 520871625; 549991751; 52837102; 698200506; 800480307; 349216414; 749890541; 368355506; 217943087; 800718553; 2959189; 98495595; 624570480; 205793900; 306543657; 260482010; 429241576; 468202902; 640322090; 821502635; 190223082; 969660404; 956313794; 90029744; 776516312; 663207192; 877721263; 486162291; 642871749; 756548011; 397231330; 211235169; 491834110; 737338451; 111630968; 734494753; 100247775; 601271560; 424252792; 993874956; 246735618; 235016229; 780959680; 49920453; 81242087; 336197488; 46739559; 72173474; 30937988; 798252414; 280870873; 485953609; 706493530; 937364318; 299429452; 150415622; 461289952; 120932482; 206184422; 974467711; 906681768; 543315717; 367055390; 32193065; 157168728; 696680991; 945470820; 692998586; 729070143; 91810378; 41430493; 113979681; 554239482; 652653691; 708044816; 150752809; 856798119; 874327728; 514300169; 936081418; 188121884; 577406915; 124387665; 778249932; 620911393; 486629438; 768917722; 482081260; 146096353; 919824841; 869903632; 830890695; 635695974; 379445396; 633588634; 419540921; 941021315; 145821830; 156137233; 773844429; 842913593; 90163063; 841202107; 782564079; 217967540; 517341231; 352290740; 367604639; 561116435; 821248015; 244148842; 576010686; 327592162; 127943208; 20653178; 238770147; 116403344; 829611187; 873785751; 211788006; 397387810; 207096443; 501899762; 568760900; 542299211; 204828811; 755485223; 500927972; 406403126; 684999797; 104293639; 856314901; 283623929; 205300533; 587623482; 87558509; 788022713; 981110289; 377877650; 108804551; 140527476; 717063482; 323899426; 309930879; 103673047; 711000425; 768468621; 217684134; 948727042; 493584095; 763833645; 126237106; 187402847; 941111956; 510630299; 551222355; 971187624; 420174995; 55728558; 992689907; 536040511; 775829268; 393938242; 784381350; 512360303; 184531923; 338013727; 541871789; 715223202; 414736566; 848369308; 157690982; 439723507; 137212142; 821296177; 457326783; 177535554; 880235950; 702560221; 131772177; 897632616; 238071357; 865954645; 136661367; 868425002; 595364595; 364492853; 410748516; 23620486; 797154329; 38195027; 968988967; 977640090; 370894268; 107037074; 503337843; 827141652; 960963541; 481726630; 812294031; 618584284; 835403834; 806332040; 226422629; 269497427; 362761982; 756455644; 429275808; 718851443; 784165307; 88137399; 376338729; 449027318; 865176641; 58615597; 314146516; 233097736; 682800090; 985435713; 475772500; 710905425; 833395336; 33326755; 760752639; 219055682; 752944299; 926227329; 881770688; 379003430; 384903948; 438428386; 793477160; 488580922; 312295223; 594381371; 425851400; 657273500; 753014353; 701724814; 134368644; 218524169; 461564927; 412531485; 274445407; 529874449; 887024990; 615402004; 50282401; 294769152; 339441127; 746274339; 879518605; 618824549; 298441905; 312499555; 387648213; 520818137; 739253936; 626874234; 585033942; 135919525; 543838987; 263582901; 250769586; 560248378; 596039331; 779558128; 835975183; 704525381; 149609245; 981553345; 993072674; 570082286; 259470053; 603658908; 723244229; 151138275; 442681794; 306171003; 663818984; 586159628; 613983326; 280783242; 191987933; 973623946; 680793175; 234107382; 940472371; 326049458; 627193409; 113913392; 629223251; 47777033; 245043; 996830701; 614955710; 520566934; 842689609; 924052163; 276899044; 830570275; 19011674; 502291744; 36707905; 117617134; 161175155; 496087486; 483057730; 525034182; 20761697; 956747859; 816767526; 385901577; 913839340; 22024799; 421698842; 164188514; 843744414; 662160687; 817584121; 295442071; 882058102; 868964577; 275036126; 214212771; 739542573; 625384606; 128643268; 907698340; 427305156; 422101613; 329923711; 424855536; 354741513; 848435351; 704151706; 451179717; 233934086; 405443156; 16694297; 855400196; 783515507; 498318655; 964655296; 299303565; 397261968; 520069747; 689576291; 756774446; 878208779; 662366957; 37210364; 333917203; 361791519; 730491638; 181980761; 549043086; 788984727; 843335630; 557771649; 157452611; 721320900; 118322989; 954694851; 164676287; 221062004; 658619923; 598283288; 784313299; 833988250; 208065737; 764816021; 180327382; 265572096; 761658654; 863214027; 106279028; 158709020; 25477440; 941675929; 808414128; 436055768; 999507170; 92544296; 85024576; 385409467; 26177231; 190508335; 711449051; 544085237; 773092606; 946031057; 9147137; 901986310; 492508593; 24430040; 719007675; 156331773; 681066184; 259135457; 466115244; 914616588; 179668747; 135106304; 444578854; 329289695; 543380255; 832512051; 830300638; 742532305; 693178321; 362654818; 454325430; 85179909; 771373308; 768347313; 283718289; 781332990; 842520425; 294971944; 628138743; 48418347; 714271802; 993018547; 290133045; 760392693; 380855177; 77328480; 541276022; 643860528; 24887083; 856069018; 995174002; 557056572; 412190044; 621050154; 850705083; 325890950; 913981241; 161619560; 307647676; 377472342; 348847820; 715659266; 563717105; 213179093; 219841309; 864014093; 619960943; 779025081; 669197022; 105200758; 1712610; 578611124; 585892920; 240968257; 617956629; 971660499; 145551811; 919453138; 841663618; 318176871; 280447817; 480586488; 811756392; 901940040; 306589835; 36245769; 268212776; 648047806; 122321765; 553401625; 973126334; 819217528; 460265058; 509159510; 982124813; 545814618; 136038933; 973778858; 876289699; 718127074; 432149555; 114446610; 819026475; 856134517; 173862503; 819184307; 383449933; 564466685; 167659921; 42228039; 380884469; 644201406; 845860713; 13746872; 248902909; 405704880; 491774951; 308841684; 247135843; 760455084; 684061597; 659647924; 906381871; 686900054; 944946583; 265007391; 697489446; 850929243; 650703236; 170322349; 826356374; 490477120; 877136493; 629198072; 170969520; 601766041; 108306511; 308526160; 610300013; 956025657; 674914614; 989371530; 724152922; 406752407; 561621282; 957401359; 608038888; 779638689; 579405511; 830226719; 1361716; 155339681; 791116098; 661990103; 942179664; 378703473; 294198979; 197619733; 460723542; 650115072; 541792500; 19439547; 989458207; 270591328; 82642802; 320491878; 15944256; 572741035; 938614036; 533658593; 120880260; 389804785; 302677665; 833314604; 174531212; 739888957; 246146934; 223348808; 290614989; 533264548; 332310647; 249203043; 596895552; 185285905; 917742306; 101416699; 773274855; 125834445; 970722613; 864933252; 299901189; 744450222; 380608088; 965652699; 756424801; 307174582; 746136002; 233676301; 855479540; 128403306; 286563154; 544287400; 338212098; 994233201; 98702645; 852780946; 491953787; 939544884; 536476775; 55977326; 946477867; 272803237; 51009976; 596296269; 800007909; 846179116; 751715832; 867682762; 500240735; 734219971; 367690914; 634525297; 916585004; 625334193; 474705578; 591768934; 730284315; 977266647; 454416091; 209679072; 943607119; 161045671; 589979405; 452858721; 478161800; 164998904; 361540760; 876419452; 926533639; 960718316; 145132051; 679832182; 323074592; 126211130; 785965463; 901605177; 423569508; 543209649; 340975508; 687924899; 366904522; 289934338; 440559661; 746890450; 329842498; 649834424; 246537112; 337877716; 637221436; 333924343; 670371206; 769618090; 658259270; 769424175; 705753403; 42053232; 848244068; 821735380; 198954534; 714751261; 714175317; 938863051; 411775358; 560041747; 750770452; 251886139; 404673499; 872686658; 937234361; 188846632; 460904175; 586901741; 986646915; 19227211; 565389539; 389129850; 616904688; 253188719; 91158905; 796557200; 578165454; 310326402; 621071443; 631273376; 430117655; 23839794; 868764425; 763736286; 592750275; 756813327; 917766214; 634322729; 8189203; 411926204; 928296127; 74638292; 48275083; 795782438; 964837334; 523828969; 350204143; 847261555; 145939545; 361811987; 591602819; 413204936; 595383384; 503824436; 356590613; 44735604; 213627169; 439524404; 192624446; 961544489; 213949769; 411950078; 769314014; 635639724; 733779946; 141894335; 153130877; 218877740; 812514690; 299348373; 318174564; 672150864; 842185365; 366482461; 489119415; 856227392; 79127334; 448142449; 331040612; 601460194; 199163389; 329351572; 379080992; 931492957; 885448222; 414607879; 9865567; 441840607; 543632852; 993953541; 551355779; 557116200; 548554295; 164515601; 339348860; 697664406; 940935064; 963633352; 131440812; 697837125; 466779188; 980445145; 953032009; 509245392; 306677059; 880499684; 65365690; 322524642; 830131893; 45941680; 616660823; 998493429; 672409648; 646310056; 434597813; 492119412; 715597754; 136208747; 979973665; 825355440; 12636845; 448719488; 123177503; 340723982; 661721726; 16979030; 362566039; 526578106; 591268603; 772909969; 864933823; 687225308; 989726966; 936782861; 86862427; 79493654; 739307914; 867459947; 114315652; 665227881; 277039228; 325101302; 610736783; 386422037; 799900399; 343517507; 162765339; 744348348; 731899517; 521479840; 222343874; 549465030; 487944090; 726596325; 208489028; 968636465; 429354682; 704680156; 785126779; 592441634; 28213188; 131056651; 309993619; 187007152; 504679453; 750708112; 932982076; 164207432; 426942136; 635420477; 406843445; 101269158; 643304709; 441221306; 426391481; 655107293; 959736794; 760035059; 312166929; 456623159; 624148732; 159385433; 986596260; 953777007; 557448155; 188859353; 816258821; 749671646; 505459063; 123363884; 572735513; 96965693; 337133156; 43384706; 924855384; 77008918; 654640105; 263460298; 798903626; 858095101; 74233749; 745723065; 398989212; 937575734; 520579152; 319590705; 722949888; 438546210; 549296243; 48860621; 51197155; 875513367; 954957279; 146383933; 103146233; 785585212; 815508657; 216863371; 840307540; 922870734; 867343285; 579770621; 450250038; 490164571; 991389703; 641703796; 407265229; 921228637; 551625845; 523428615; 796169792; 147130299; 360140334; 785603002; 970625185; 267182551; 364112366; 993391772; 530670478; 65901199; 360230933; 406505087; 608658428; 104822226; 448937658; 930715535; 698528166; 244292348; 441451548; 947154800; 701064371; 658946533; 609794881; 909422781; 559408081; 989998809; 295505073; 760871442; 175400483; 820622616; 738488630; 276147133; 20488681; 891039647; 629475424; 251632146; 263505424; 242423762; 368640091; 223205437; 470907878; 884550018; 340978535; 352285015; 671974514; 277374711; 868506412; 705019112; 900040069; 940660371; 504054398; 772706266; 662283657; 712929266; 163869271; 227327409; 324866533; 132639465; 747834951; 187004990; 882372377; 556791382; 937859710; 314456839; 425305753; 948288934; 851804917; 576973905; 205802083; 279450197; 30416676; 715932020; 696186556; 942011903; 252031837; 918987810; 394695440; 898698400; 300689394; 673951568; 98226237; 230600709; 424006781; 436268414; 114047805; 838517157; 434354992; 450448581; 855931897; 477926696; 884544112; 305135953; 361354704; 242539185; 726194826; 60219042; 980171883; 555408966; 30370764; 156736082; 907711360; 380709729; 901022114; 926595680; 355880106; 559098416; 486834314; 570385782; 636313766; 800078883; 541015939; 675825003; 390227193; 111226425; 909952193; 796977256; 557949376; 755834216; 615545335; 872811530; 939644280; 574345566; 912914538; 719202877; 982849568; 34756910; 820404397; 526747196; 775449939; 339607073; 461570893; 462102393; 358172719; 711115398; 379053612; 419672390; 974558320; 948550169; 427081534; 998301320; 91150345; 797911924; 108013225; 761621193; 305673826; 171959362; 610391906; 646042937; 180881983; 656952004; 47181714; 511917547; 461362063; 570420510; 108669174; 788448614; 207527329; 507481344; 302304025; 195545006; 82520388; 794214073; 753653964; 792126992; 110174412; 660801647; 719371486; 521703890; 909061821; 50038249; 842772780; 154140893; 152299512; 258872363; 593028043; 600764414; 613346181; 673152124; 927938011; 767329378; 629405821; 269327467; 796527314; 652295758; 699864342; 634738628; 983842475; 126081053; 651491916; 699642801; 748464326; 957903030; 775421332; 982620126; 435130275; 635980195; 41160443; 909353153; 615823951; 692774949; 344163480; 519625243; 300195901; 512064480; 826868890; 54974031; 613490168; 848575837; 686507571; 922736368; 744816277; 276079266; 296079636; 442189600; 189346955; 590520268; 621794822; 944089615; 891680113; 513565007; 832811717; 617561768; 156693609; 467613533; 558492596; 104578300; 553813186; 34518498; 201190063; 468360317; 376544087; 746833394; 816112070; 499988634; 190037094; 470342488; 849528371; 497721043; 940868929; 860706981; 230913132; 979773257; 422037593; 145853987; 561107608; 381983232; 571480783; 712399158; 932757900; 495440318; 28402301; 138853759; 22651967; 808111315; 429361799; 961025254; 782688443; 221524571; 172358431; 294422605; 217493096; 172678090; 992936808; 173799229; 259245794; 256805505; 615177219; 814190202; 806180639; 979024670; 132060056; 20556529; 117784372; 233642894; 545939742; 115096281; 209682224; 583594200; 255424880; 59717067; 274549927; 131666471; 633151990; 139467571; 983486044; 212068536; 407702327; 406662561; 314170473; 609057381; 204806350; 380489188; 959983080; 98731331; 28572301; 954227442; 474221509; 444602218; 579053013; 164651006; 961369079; 660210294; 181310201; 497708860; 972787285; 853777818; 367213993; 104217037; 899288873; 372341999; 596478806; 6876653; 388067470; 429736422; 106844395; 362595910; 262696474; 802106511; 524369152; 117469657; 351611813; 814708269; 277636878; 325567566; 696721191; 675842861; 592085245; 754151818; 138074933; 588351872; 260247399; 393927098; 20455095; 352664708; 778597162; 143996345; 15491096; 864241300; 711934825; 205387306; 796390747; 175736912; 213977265; 72411407; 843348613; 709882970; 549465453; 515621888; 189591920; 759774136; 535241566; 803932232; 947444688; 964271771; 889230443; 230319887; 184270474; 315665633; 826674530; 834906030; 954634405; 446545369; 944039496; 122453816; 643895199; 760516931; 142662424; 202068401; 243294111; 723160711; 731647249; 847666020; 902006440; 287034562; 415893500; 364947651; 461710160; 930878122; 107338839; 43291915; 472926475; 744616403; 144869463; 31761987; 891705275; 771266725; 434000439; 200214025; 563782106; 693324886; 991874726; 926265523; 891130057; 305592562; 301308076; 182212263; 968207952; 629700422; 279005368; 445227561; 839448745; 664567249; 453822222; 364909984; 748102661; 807240643; 180402129; 213194540; 239965833; 222183498; 936944942; 776206955; 554128876; 661858630; 457861821; 28167338; 369608636; 416303540; 483894168; 518428140; 549690892; 995100323; 476926984; 899627863; 608069000; 669675651; 547840593; 520804536; 599919776; 415877640; 222262397; 807375798; 958965408; 182328057; 101760711; 638006756; 395734780; 907810865; 485855980; 672239160; 165784139; 884678747; 342706651; 645021880; 961669568; 549194915; 419657253; 630710378; 261300033; 980465445; 959726180; 88558392; 881224540; 930280702; 300540117; 746905972; 954847387; 608502263; 372403145; 35289151; 723330398; 756035326; 368928464; 214197040; 247319518; 581888560; 620896055; 144445075; 38609320; 525102325; 586259224; 182875124; 42800660; 630811607; 218705081; 987364233; 807310512; 399591623; 200987322; 464006531; 551321492; 743570043; 76648754; 785780462; 427986642; 516233167; 267484932; 676309418; 628475898; 998835512; 380313020; 824066439; 599943429; 362322164; 824883466; 805212089; 434294925; 601587028; 788326671; 458821388; 413887434; 743745737; 837917638; 159394787; 329235459; 357331175; 321043898; 794117050; 317808246; 139649744; 981486398; 879106055; 609280062; 515104245; 505762842; 556022671; 160931189; 489195583; 140240800; 183607619; 98905870; 556334596; 863614356; 226175834; 707859522; 295191893; 38646451; 68354487; 296224209; 627787628; 374931585; 413149707; 437723717; 966711601; 323592472; 671690963; 273987660; 791754087; 309814027; 853663379; 81566561; 552819121; 149702555; 368301927; 862604187; 402838623; 349284169; 747205580; 484053083; 71822118; 695198028; 375917943; 106664549; 605851767; 487555504; 970836060; 478542705; 799525831; 136831595; 510820288; 903503748; 812869855; 286582540; 611016794; 91110357; 797152280; 2938279; 47757710; 23104934; 575552013; 694761277; 744456229; 687306414; 321265239; 716796402; 155116265; 189880509; 307435632; 403284599; 917690937; 38193593; 861462088; 811415080; 772051082; 590342491; 720430355; 710521098; 694622684; 273921236; 172884934; 715260063; 347314263; 874898591; 21324035; 895832717; 332386506; 594343913; 790550403; 693002375; 77932346; 205045702; 444905923; 152536119; 174660388; 933795101; 384520548; 591200622; 378629516; 87521165; 125641881; 787625626; 310431981; 849752910; 217591906; 92841760; 450952130; 703448128; 233180580; 343539270; 88577582; 743180295; 447999661; 544877296; 2395745; 693529895; 712162349; 704388082; 418185385; 709589780; 381228772; 909714420; 463839344; 875533097; 71732290; 624235240; 234328455; 849131331; 620029542; 20744961; 39425396; 651298430; 728366276; 340304243; 654092523; 341137214; 576926536; 166850192; 767342380; 927285204; 886982387; 856028395; 868826684; 349744492; 731817101; 155717045; 217098133; 421409116; 241204741; 379033908; 104109596; 557413457; 854816434; 848170611; 767150303; 169283972; 65693602; 542915213; 618194088; 754400888; 899211639; 736481990; 663909863; 52967659; 839603181; 811539937; 658428501; 848013867; 478006369; 637470612; 909331631; 610103968; 12784129; 574661650; 84886174; 801660168; 134928101; 672340358; 589576309; 862590747; 795265671; 293562901; 806276142; 17435055; 468195676; 32829469; 23259558; 152186930; 331510298; 303994497; 954716255; 489713692; 993799788; 149762880; 929889707; 625384897; 295633632; 28999372; 972435607; 811121924; 492650125; 475237521; 929433721; 20696408; 81608107; 727687020; 906564263; 359576693; 314985550; 676528890; 540594949; 398734549; 431913760; 783648331; 621672656; 670597001; 292909422; 477931563; 23977796; 489983524; 364506731; 649088787; 122893686; 449147509; 975830640; 960687309; 44034244; 43989281; 383926375; 386379940; 559437593; 322418379; 956229266; 14597367; 186957848; 76807179; 967210433; 807246467; 871361327; 269375564; 976004845; 519056403; 451583444; 748328502; 754692349; 864027745; 358508997; 247804975; 272215318; 2949372; 542772065; 556821547; 679288007; 526296936; 903773010; 831617071; 120430601; 286042570; 563012674; 569160163; 755157617; 217152111; 419280484; 666439282; 179625075; 532497264; 349355241; 984017703; 344036363; 582920899; 372188908; 18413440; 552541710; 732836734; 805555667; 330716090; 615031046; 144718861; 892064309; 627203728; 78036906; 230708085; 137578195; 905229731; 986895209; 86896474; 388949455; 772135168; 673503886; 632985467; 765631833; 421880375; 885007297; 839099759; 123686965; 772645858; 32367062; 376382608; 500710485; 325497209; 496539180; 310554115; 511574991; 661626656; 834671442; 63380510; 188906442; 804579401; 266149788; 160857338; 97152706; 709421166; 923246661; 455559695; 665538924; 260625800; 42814107; 407074280; 406817579; 151990798; 598866318; 918725392; 502753028; 606221713; 473905485; 351242321; 550196055; 123714281; 443750308; 226831297; 348247174; 251706539; 789196729; 883204548; 934796182; 260116666; 869094784; 781845297; 900261430; 959656266; 595222161; 950826166; 753410604; 569311779; 437721562; 732633234; 453250445; 750692612; 725533101; 385305998; 881471255; 841346732; 720748827; 448519264; 489730810; 663281417; 936270698; 761968532; 662960019; 518934522; 433996149; 486169707; 919089634; 207976247; 78111422; 540142208; 572193855; 23104356; 554123773; 877099912; 764626475; 61456369; 527532467; 955766234; 779672878; 886198689; 307317019; 696354706; 923472889; 462076432; 613506898; 378354713; 783073866; 41087837; 676355157; 353123302; 531897793; 417537047; 988693717; 7275835; 77328185; 293573892; 993252209; 116996457; 373086841; 308178701; 733331568; 992591110; 242779561; 203509859; 476261734; 999597008; 273797533; 822634593; 552598053; 994659564; 359155586; 747471188; 514021673; 587098634; 892796682; 513032552; 644489503; 339320090; 690270924; 484083341; 925719610; 33963532; 775484531; 574721029; 847191628; 470495603; 51266344; 544804399; 182828263; 222246885; 372521960; 381780972; 886950140; 214623751; 822949870; 357654972; 630625377; 781440297; 89704126; 365115655; 685712049; 327579995; 889093459; 97781325; 4350643; 329573955; 910578974; 833884836; 90226186; 659939025; 110795371; 41955382; 928225307; 865047566; 368563131; 54801868; 579569341; 66500442; 879297527; 957499760; 744032981; 440361632; 286074104; 132728526; 70931152; 388753483; 159255226; 209954369; 998598349; 600097199; 246707640; 730218136; 889332451; 775007140; 564750240; 932499271; 627956961; 672570011; 645056753; 423274049; 221948232; 548545387; 98837430; 304995353; 58146606; 766560950; 8941493; 88146726; 120376263; 676594427; 262392681; 751613579; 111449261; 180271061; 312305143; 631526433; 683494606; 337406597; 907142075; 373333560; 381068233; 452972607; 907384064; 556575606; 170850405; 368852565; 883419250; 727892126; 782368977; 381696399; 110122627; 746043533; 965037006; 718073062; 468125278; 950138947; 780626085; 453798943; 149239858; 578492203; 355228552; 874960073; 798965884; 975757270; 898046008; 660904098; 302499909; 148566166; 236066354; 537626618; 18032354; 288207573; 763536434; 181189101; 45031057; 123701508; 325381776; 928705267; 469482652; 735677431; 700460614; 316567525; 192510307; 915814044; 557778604; 56283675; 275895756; 882763240; 82996600; 664713092; 397330704; 839655699; 578466419; 635568203; 912146694; 37006807; 479340476; 684007731; 987790770; 206965980; 718612929; 49362501; 924078935; 379271501; 422410370; 601018013; 504186323; 118120816; 815677643; 933710931; 193416441; 564765061; 501425477; 717020093; 401603461; 370633918; 848644617; 274299680; 530731761; 395283410; 646428403; 751502020; 620124685; 812072995; 683975384; 315919855; 227323123; 423755272; 650350608; 339138875; 920388511; 387436177; 358644487; 641873496; 878806278; 4571152; 87468319; 415431482; 28029816; 951459671; 209620232; 291311561; 235485249; 690129781; 248488813; 359982685; 259879562; 689220446; 641952545; 132135912; 358814514; 894359978; 361626126; 608162399; 557865951; 95857732; 376407364; 894693541; 760415825; 800394874; 70210330; 380597843; 792608353; 291236798; 947363608; 466262826; 328650754; 301778238; 979436324; 728153712; 411211209; 906659540; 346544208; 91162010; 842409192; 965270253; 586918572; 476418934; 22828546; 816899457; 50439608; 324279020; 617892336; 311740134; 334899416; 560869137; 430869790; 369305518; 732323064; 28855133; 253375156; 888398706; 804182035; 728223411; 177820769; 441317726; 587271697; 880008679; 384472; 888586781; 200136805; 525764481; 190751604; 361703007; 22721373; 675758072; 433047965; 794283010; 624773645; 3806286; 200017127; 672189469; 36508867; 349181022; 654244279; 316739431; 244364429; 93619580; 583136384; 400245676; 12423710; 107970957; 303616706; 46166688; 46485109; 734617682; 220448949; 841429511; 961325660; 810116091; 576085948; 943364242; 308478978; 451193276; 969234222; 16640770; 777435164; 377862537; 214974910; 805174549; 914564121; 822570929; 765841277; 431198616; 929778772; 744053564; 979622870; 864515900; 961048882; 738217526; 891277504; 71873995; 444342293; 616040571; 327210289; 756465816; 73969090; 598338825; 307606301; 872871064; 80698802; 97129899; 353265466; 609224168; 200783850; 181088931; 386746361; 978104227; 214030950; 350650102; 384588073; 786557699; 767960205; 517390756; 71652652; 831486597; 512439277; 751262587; 80099103; 350802933; 512080884; 317200351; 609528981; 739089895; 818199847; 792384858; 669065025; 566508843; 507062129; 732548473; 186123421; 335427207; 486319936; 427614127; 604384832]) + +let test6 _ = assert_equal 6 (continuousSubarrays [986576039; 601518733; 744798894; 581260814; 819551063; 25280437; 912790185; 566200129; 512449764; 813324259; 935779477; 75523677; 110564640; 996917008; 24329099; 81044379; 639852709; 485230276; 868577009; 991579590; 173179412; 153444229; 696412320; 668285025; 665305513; 374760041; 395657366; 431207308; 723415171; 78217974; 231578479; 44787201; 520128365; 190886570; 99544457; 834752183; 839840220; 23156798; 568958840; 828175027; 573601719; 646397626; 359922464; 610592950; 761436656; 991866724; 975548126; 596278074; 51352469; 709760089; 137138347; 35412739; 740326384; 428595150; 561686033; 826522352; 528512395; 166766340; 903971986; 930175620; 291876450; 325746465; 226954604; 342184919; 786100937; 33431144; 559960353; 228435020; 981753250; 477182859; 853319621; 531074058; 293762369; 756977260; 982115626; 109505171; 97662291; 597546699; 25539355; 514871975; 21469506; 866882384; 749542329; 187314233; 668059077; 880111727; 802394008; 684226238; 295590795; 933475698; 603784570; 805706585; 106664159; 706632391; 920925278; 534703454; 809799056; 533469791; 699009564; 574769508; 286021995; 580299338; 927136527; 182061139; 50256606; 963343548; 2079973; 759980720; 239896735; 944973942; 715128164; 958534922; 284255197; 962076026; 543624223; 280308022; 922047898; 608663068; 462272761; 947562676; 27146468; 341833914; 373203844; 406807671; 587150376; 428133803; 347613221; 515250274; 825463982; 900359800; 907386894; 758524660; 920655262; 270154021; 958873500; 110226802; 114234297; 326643960; 5861654; 49217327; 698710492; 81052676; 486338667; 421658147; 698878003; 522872439; 376629510; 608900195; 61788074; 690780333; 11942994; 539935304; 292087332; 12152539; 317686301; 915961372; 150374730; 869266096; 1003629; 142908381; 204197001; 394544263; 969450770; 171841363; 370991241; 650184990; 292091080; 505109506; 592028441; 596806545; 834483109; 673378639; 767537232; 201264498; 585809426; 849412291; 631715774; 259388106; 462631908; 473311307; 585798379; 905873551; 750313742; 391002361; 68500749; 679610590; 82384498; 896993563; 234936883; 75315577; 354955786; 941817712; 104302093; 713662616; 936482013; 43657259; 745642043; 405663793; 895477621; 69916754; 662157906; 108643574; 133515441; 947816601; 42991330; 35801373; 846689945; 783572043; 615345014; 800773933; 436105384; 559804754; 325938750; 603283553; 389448681; 445037108; 787491667; 185306896; 634916738; 477037552; 787317467; 959074084; 555832639; 203512770; 942124651; 552642935; 946815932; 511046362; 791528968; 910331118; 417421115; 171635618; 60882630; 695292693; 979469165; 954647745; 664340639; 608490206; 175615746; 788066583; 210609215; 662081854; 502078228; 552639148; 408995863; 928867883; 788865214; 78446845; 390010046; 956279858; 273414686; 456561571; 177779246; 215293145; 144082790; 620526520; 398982331; 234873517; 527385946; 613566832; 477765282; 278465563; 989951319; 385737853; 481073764; 240056230; 749226389; 667689555; 935319591; 540379075; 897989401; 613685104; 385113713; 338480692; 257208208; 875552232; 739900834; 742532026; 42254847; 502853370; 396247091; 481159225; 557415631; 914083869; 281797106; 292457360; 112959996; 351547590; 265676736; 923147125; 266464434; 687374493; 580794148; 716602199; 338798401; 913791489; 677172734; 738912761; 152982023; 525315575; 430182817; 354623499; 937500825; 376724848; 757581895; 876521213; 551782406; 151721898; 789720210; 342190487; 319203609; 966485054; 958968137; 513122548; 975613889; 866247534; 281738095; 917981986; 531829981; 359842995; 6622721; 904674242; 974976449; 748258437; 567842348; 638743706; 61494949; 303462355; 445161378; 749225931; 787139081; 668259182; 234981552; 462258435; 726625304; 341510016; 577058185; 992554850; 749445478; 582595339; 780481917; 750180751; 262124589; 106535883; 367687558; 971214612; 61319084; 965726400; 657516977; 883701697; 862522904; 64115696; 513783295; 999052937; 486700811; 796573702; 280239976; 234185826; 461204650; 758125925; 126775922; 838175995; 806801831; 700071822; 989267637; 910282003; 878022355; 244255278; 225338144; 881659572; 538074143; 865267119; 764307133; 253726616; 4475863; 87932273; 729809419; 268502433; 65681120; 535102289; 173483085; 798364418; 968369339; 396296576; 73922307; 899252389; 412462346; 964316305; 761282647; 255990326; 949404058; 812590373; 34026036; 97939548; 322224015; 510940653; 506559314; 503977550; 774514848; 36247643; 437658632; 479381; 51878343; 337682815; 597869299; 870247035; 663466909; 420381212; 288653041; 58094622; 9581960; 423701880; 571611425; 593983811; 982942712; 615198986; 370820134; 665231038; 466181876; 543638295; 78012277; 808025712; 110429581; 481671110; 198451122; 555980045; 252794221; 789193201; 299465441; 145553688; 174638070; 110315978; 181179796; 552120081; 995670736; 455857983; 158953526; 789054048; 936324288; 712896109; 176108370; 623745811; 385669462; 386367438; 216076496; 852262157; 392113704; 800367361; 35297933; 382493560; 153843060; 691569272; 206751308; 496810232; 948567947; 909942776; 22548182; 269168821; 784279534; 404708186; 642552253; 157290956; 844643546; 749012594; 319158474; 309157145; 449213107; 253681659; 306003941; 528681663; 947286174; 13134287; 868446224; 362358182; 264069010; 580630077; 322123947; 773675502; 415357338; 756222969; 259106790; 105858528; 30623735; 167775546; 197595956; 450054857; 724671100; 682749838; 558106911; 883549230; 269667837; 756991009; 252082110; 787111586; 56626871; 790643061; 566304803; 587813314; 77961425; 273087539; 830963409; 133834852; 587489818; 989427376; 498572580; 639829475; 751779327; 41302627; 222532052; 697417077; 52806010; 982963393; 149885608; 395105597; 645764472; 191141038; 845031106; 312109458; 729512844; 176127964; 809793848; 664968995; 704916862; 875673216; 141833510; 182051317; 992183445; 297792113; 355574825; 606046037; 194300931; 632720241; 610881837; 186754220; 720832108; 146071000; 243419454; 828709151; 43639123; 666855247; 163869981; 268559201; 361847381; 104957194; 190591744; 634468624; 321594174; 862283064; 205152266; 177397962; 556311619; 863894633; 373831766; 942279545; 653006149; 160951075; 236801325; 493232814; 339583131; 484320386; 21025914; 256711360; 849624193; 401395721; 496381864; 332735864; 217338016; 331625978; 57067206; 524966047; 567366924; 118409006; 770385788; 603521587; 306874647; 230486584; 917544600; 410833394; 488486675; 88688023; 501855718; 308799624; 198553054; 293888196; 109345877; 584831299; 935375323; 319691116; 790173522; 433793231; 350306105; 656922791; 254787836; 648834473; 69769848; 79680095; 577271913; 577615598; 83426119; 167136032; 716304509; 840447832; 554251141; 917904548; 611101123; 78487475; 472387413; 187390057; 831236707; 74874951; 451113402; 934949752; 252310862; 79253725; 903689754; 269740554; 752807142; 982768130; 5205489; 201734494; 538149812; 306360124; 504690456; 216678578; 141422302; 142708240; 334420714; 789870378; 332615884; 644067726; 846846492; 889176620; 421265897; 962675830; 944303527; 217209454; 293583694; 823750001; 492538867; 305676053; 309983666; 902029229; 854985728; 144425088; 642729776; 526520803; 366059436; 172215933; 976733788; 909084484; 124595472; 453968460; 99113563; 173436747; 636604497; 866277760; 505575047; 520608862; 46301245; 868493326; 269333051; 940295888; 595054344; 809152297; 540724164; 154224803; 873893058; 733259375; 536533553; 617692870; 733884839; 460666106; 274602303; 950741840; 468289936; 544801847; 496872794; 188022530; 308361846; 473824480; 644807993; 410054596; 482314084; 372411277; 28145300; 517628091; 494398440; 108336654; 231230366; 455525638; 785967900; 909775888; 663148606; 947641873; 547442634; 327586571; 368743086; 812934032; 242359806; 900501040; 481701585; 625197976; 906163166; 572389826; 749804175; 770180626; 423149784; 690990313; 764392216; 779926189; 145452549; 395972668; 642625619; 450047676; 140155889; 654897705; 340834937; 596247349; 253367486; 772441625; 397178326; 516751524; 656974341; 141116671; 773481839; 180473357; 636719804; 936547609; 336092653; 191634486; 258920566; 953378934; 161483711; 733252003; 212620250; 72639104; 920522471; 376147673; 351072337; 750975083; 474000170; 431964154; 604802291; 936933417; 536723843; 325972811; 81511779; 183576561; 394027356; 865906962; 408834402; 520074229; 245029833; 415970722; 487181359; 525147700; 955420289; 419546405; 35534058; 244737094; 351570728; 393362930; 864420719; 987440502; 914151300; 732024790; 517887877; 940220056; 474807908; 54332016; 450628737; 248165962; 708385943; 277002523; 540665248; 729421264; 372474544; 173854046; 848679620; 591958283; 387139566; 366709532; 490529618; 733230433; 555310779; 212871363; 634593613; 789815897; 344012663; 192291081; 754686060; 693344777; 852397477; 482465668; 402928302; 976386953; 185141768; 215267652; 159292854; 640962388; 156621561; 706192644; 946595396; 641923802; 848690811; 729896504; 199608705; 447301337; 736791970; 878841552; 30301284; 468198364; 332347314; 764408034; 62518773; 893624383; 511404789; 216219825; 459444145; 9837850; 851832373; 396526624; 408886323; 260246028; 272648477; 662543268; 884571944; 504589438; 735466421; 943634437; 987392460; 174198798; 985001154; 628559284; 274251988; 739793275; 768341410; 880418500; 364542649; 393945987; 247599498; 851319424; 345604729; 455254550; 913063364; 598539995; 386146064; 695090808; 156259258; 73962034; 588884334; 800086874; 740188025; 59302474; 181600767; 66082533; 510776571; 36633108; 728512690; 635382302; 393939959; 767127464; 687207892; 323448714; 903413875; 784772324; 769847240; 385363892; 277499606; 552770739; 198009999; 865700508; 6122709; 998815288; 639486594; 737034697; 426771340; 995923120; 843073558; 674510925; 171483616; 950272084; 473017770; 276155357; 946732144; 77878333; 326866906; 284809603; 11916753; 76483263; 491178725; 195357618; 32928657; 360264741; 368002046; 797667558; 479883567; 3806652; 100053441; 49764335; 233827150; 966165851; 299691293; 191059346; 424648450; 937697832; 891631170; 810474530; 141424072; 494037220; 426259722; 105210394; 673567320; 480246657; 395288408; 530636929; 499914791; 304213778; 715201314; 901449164; 381721199; 913862153; 179346872; 148469490; 223565496; 79303151; 994169369; 470918881; 86267931; 501375786; 404137902; 788330108; 296937007; 253346788; 845839600; 728150937; 44676193; 957357770; 152888575; 835705180; 196081889; 90926363; 504445250; 806072267; 53423666; 459045713; 761478620; 748173243; 377592615; 794069247; 46074891; 618733588; 613480327; 807958893; 738744322; 177399515; 489924779; 737922419; 339764223; 784456098; 666610787; 123385633; 200519390; 916326464; 524138634; 459359318; 432076898; 92551987; 126605305; 647923175; 151676410; 748276775; 952524998; 610607034; 535093358; 69335779; 651055828; 968479865; 851695058; 219941076; 587985205; 933745954; 259887416; 56597410; 389914717; 402822378; 904001354; 527432726; 961502247; 470139454; 745115869; 524821435; 720089395; 497674929; 538781692; 126687566; 849812508; 510357606; 700626030; 641862225; 900942001; 700885907; 735519805; 584910579; 994399994; 771534636; 311788676; 305841072; 124840659; 426699010; 925815049; 828691029; 568176087; 358396156; 770402906; 616542608; 502606997; 33565309; 756280776; 490494482; 865071710; 124254311; 505042767; 507835801; 149903760; 541774159; 680101366; 515097761; 910887206; 200928602; 25018206; 137263416; 471738493; 300829837; 772014793; 477042531; 668810692; 449670700; 274442516; 617516315; 216702299; 582885872; 630457303; 455678745; 112646971; 716419192; 820618514; 854269641; 742875822; 682600898; 27486674; 648247165; 325734409; 149726892; 996802993; 860986715; 222003754; 856662976; 18652603; 202240329; 387477952; 270113319; 679287443; 974880243; 49504286; 895388288; 22300516; 13751064; 976411258; 958640931; 221159301; 327380748; 955221902; 9425450; 181415223; 854854441; 989110191; 329839749; 733713179; 6866679; 187093683; 723886631; 294524679; 726149748; 135382460; 935085411; 495085316; 497704213; 99324041; 511778957; 543128576; 996621738; 744290255; 301798288; 527774475; 2283682; 459737942; 731435429; 349076351; 375330492; 381836982; 524367832; 997958386; 606338879; 365247869; 989070681; 423330089; 430331870; 430450084; 674033136; 699278942; 982132569; 673877576; 478823225; 588011223; 572520597; 52590548; 658849578; 109285107; 498488460; 534344859; 484576872; 557655008; 900053888; 922972287; 559122206; 484335605; 419515969; 964121136; 498330080; 183983701; 166898608; 728609354; 683295908; 951496687; 913234493; 228643392; 122451236; 326248725; 381025726; 553549307; 175233471; 787119947; 346584126; 807008210; 564651643; 744271522; 514794366; 924364324; 545214668; 658854025; 880745050; 241643207; 548526374; 998536424; 975604461; 478134892; 829968428; 612135198; 438573255; 687846362; 224800446; 678060653; 957344959; 492412450; 36273190; 113782707; 865842852; 704565173; 406187724; 973340673; 301125429; 478044041; 314361811; 180597293; 744883721; 628700550; 604143322; 451008067; 480834434; 183988201; 859180156; 375001260; 889386689; 451787242; 652102751; 167156824; 413155326; 519672357; 319886201; 300779618; 58124313; 830567026; 250707961; 513720380; 610627934; 112843799; 191436616; 747163762; 115774537; 151884727; 266636220; 657665974; 920606028; 164187109; 862474737; 917705845; 82584871; 511206272; 107922931; 103875332; 542355762; 297863866; 700687804; 412327941; 263152644; 319526495; 387630768; 650176479; 651400390; 522673786; 50844782; 887565269; 395477533; 706752245; 508399207; 413363997; 445076369; 169200104; 130908062; 768044002; 347537954; 697579513; 796408345; 132850467; 597617278; 602475506; 945958255; 23823331; 970944437; 537329692; 103848475; 47006196; 525250853; 323465378; 345220343; 647712376; 620256803; 561723687; 306535944; 147888705; 759909856; 313402006; 525375313; 871856491; 301130834; 137546158; 499821461; 714292167; 580737118; 84985910; 468713941; 728211737; 464327518; 280414810; 846609010; 5789267; 711396078; 721326933; 838225532; 889825409; 296774397; 573675103; 296627806; 694496114; 228034366; 312583229; 413396179; 650706030; 810763132; 656748092; 326338824; 367130339; 963050464; 612700577; 38078765; 369620097; 402721352; 612846892; 719511018; 887400356; 780477034; 405419444; 639851418; 636069705; 807024698; 324792234; 448441139; 556194397; 962751237; 397277287; 250853382; 117616066; 333782066; 56221931; 346456768; 668230224; 205064744; 674434480; 152685602; 333711527; 833552139; 946801018; 134996218; 396930307; 704721069; 586389265; 127493541; 293380144; 315930416; 876779591; 415510520; 595467505; 186618457; 571640009; 210841865; 115248499; 697830266; 785552679; 691774331; 531882328; 320296450; 319948371; 948942538; 781146654; 125631270; 753976436; 933707675; 286978444; 721564824; 110497466; 360327851; 220193725; 969813144; 133861104; 86184704; 645801405; 412238564; 524205942; 669156985; 725418297; 572124885; 235305580; 620443728; 378158887; 992849496; 944447407; 289657433; 972558855; 760792668; 939409858; 113833843; 121870897; 989112181; 968319028; 461233291; 313896944; 166320624; 978652417; 828343576; 285392956; 930176169; 479437221; 909866334; 327089606; 741593535; 695211265; 653341008; 493140645; 943135234; 892369361; 391458871; 372977658; 663522758; 70745703; 296573451; 987563405; 930230329; 818530969; 468783218; 284551398; 785158843; 422830132; 866042448; 539399871; 172742336; 953610433; 735901718; 755671210; 24687842; 918059021; 891693651; 773627646; 262804676; 845835876; 104771818; 330078383; 673195378; 199614261; 715142396; 570957848; 195133203; 659682907; 551511513; 597871569; 389806908; 728219943; 912136988; 922329718; 980340515; 786933442; 555838838; 348248307; 995182610; 553338903; 634432486; 238909929; 505060720; 60007623; 332681811; 229138999; 750056366; 135608661; 867659239; 517673397; 214592814; 329258851; 110379871; 536266069; 831653225; 156869239; 57866175; 372771662; 198587103; 232800264; 582995445; 619477519; 145249641; 994266095; 883176178; 627987925; 673311512; 359530039; 223425877; 668057290; 320699950; 712859313; 576683225; 752391878; 967753571; 992482062; 38524512; 810422231; 190495740; 990497174; 682326920; 783553180; 586085802; 913440283; 245612384; 86481359; 507195397; 692434313; 24230073; 867891023; 985253645; 249976897; 211546544; 132271048; 68067628; 862357524; 158078750; 758267781; 114455258; 712586056; 546994934; 808326761; 838981173; 966368905; 864995256; 934999680; 276125059; 979540976; 399015349; 329343570; 623837261; 904989746; 995350662; 974746624; 20126639; 256669532; 644585916; 906817904; 622607804; 680167615; 64433292; 487201484; 627663049; 356459009; 993489733; 491229920; 295500541; 198780092; 331908340; 842045201; 880406211; 340937757; 325862857; 243407439; 658087317; 956308756; 644062108; 873353301; 183457389; 378005760; 409772395; 581053569; 751042001; 993256723; 324826774; 608797529; 815824680; 242532832; 880535373; 317717750; 672372272; 371416030; 431423441; 103602024; 67109546; 329893263; 988786735; 224973953; 724462393; 427459818; 327145347; 277712776; 394072537; 584870600; 266303282; 836513660; 300418431; 2665482; 215218726; 273713571; 651405723; 571305561; 834307748; 29659598; 137383013; 292524; 901038717; 461619099; 41101029; 971364034; 679805575; 244587278; 384179079; 318209343; 620799662; 118743259; 168203256; 435370432; 317463526; 972645750; 344845525; 280522222; 329343261; 763470329; 253303267; 43401087; 633539460; 904801161; 152589864; 129198178; 698207955; 688597268; 759347235; 216463268; 119184452; 230246787; 483164029; 90684422; 484813684; 995044366; 647524100; 250111736; 31109154; 760403936; 355380622; 220397008; 877296750; 576011695; 526398022; 977541168; 909186901; 358538309; 369908689; 976733050; 395469033; 618950160; 148817624; 96391011; 841554406; 886450972; 628474861; 168667519; 693433495; 976034748; 584654523; 972189615; 696216855; 473742137; 586122783; 334414483; 418400651; 102585734; 198955796; 383351846; 89621709; 186397325; 901228819; 206592579; 442678482; 646847024; 215762963; 705052374; 166308595; 236009260; 308007156; 733144348; 911714719; 576867231; 350502547; 517696144; 10419386; 373477478; 500895193; 682732667; 352496488; 337175771; 732797690; 425202741; 189448651; 861389089; 125820957; 475905145; 390855792; 122541166; 589138727; 703690873; 488638808; 765217488; 245796100; 327336741; 409359149; 940996252; 150631338; 471300375; 986460604; 894064038; 1271202; 434271359; 546018019; 476511333; 16274396; 595108601; 380198879; 559298182; 384680037; 110631233; 189454993; 371278246; 438550068; 408497749; 234126240; 585862047; 71382324; 197836158; 841610406; 358700792; 38659181; 120561653; 237770088; 636994454; 61088040; 437579765; 976439946; 676199075; 319278431; 680302593; 631122874; 899726990; 125230482; 437347682; 503862589; 909489156; 370869300; 572185459; 436662762; 66527855; 575593536; 134605578; 833703074; 927607631; 219336839; 6906079; 490219673; 622744038; 994220801; 327163518; 887086762; 676735112; 347495993; 876531703; 55373820; 819152967; 356113070; 232027931; 189446369; 162238011; 344681371; 394444617; 299084855; 927274627; 925424622; 472383396; 107913977; 555582312; 598634062; 451341034; 832988297; 711016734; 555276702; 892173115; 190973611; 697102582; 840375991; 123038610; 212299011; 491374175; 772594350; 584439670; 277605241; 928636891; 804987172; 445970535; 355038974; 617029532; 589983294; 682217758; 89625762; 803571486; 593180573; 484509209; 947433617; 86872088; 285874384; 960332023; 434347604; 622491942; 350191556; 843130289; 341556911; 507105248; 239449109; 912622725; 581724026; 722136006; 691139400; 703803324; 935445408; 555548639; 914421790; 116080079; 9294548; 848156274; 499314704; 7342392; 814923956; 92860087; 220102440; 634212351; 679221602; 920296890; 388852010; 642053629; 807079836; 922941714; 820219917; 185082979; 235055663; 403019282; 297803197; 930570216; 855126672; 914359065; 287327286; 877444406; 432392221; 398392751; 851638454; 514697828; 218853487; 730052752; 775191292; 725225009; 634512699; 350910894; 890116956; 308432895; 708563535; 804739795; 751841678; 152162816; 677584120; 837057032; 444390754; 589864873; 645654364; 66226096; 73229082; 377199914; 839959549; 952209899; 769216269; 133837249; 674305692; 13606016; 76489727; 625780525; 665901670; 671489906; 547958357; 20365291; 910977788; 416499743; 72598511; 762595046; 616621649; 425171642; 114440826; 640871155; 750138018; 335887902; 210052080; 124424056; 421611272; 547746156; 621604874; 811503057; 972326559; 909589502; 50174297; 142719028; 368497648; 840597435; 87540760; 640825534; 953150151; 197124631; 283419391; 241154464; 563244807; 829610363; 55522671; 746971220; 861129400; 535995036; 4215625; 933231512; 342380750; 520767203; 679638508; 210050792; 558489503; 576267227; 177348452; 580515022; 383894600; 283750129; 766520363; 506062684; 446629186; 279138609; 284978643; 859734483; 305991557; 315187158; 974921157; 117576867; 169089999; 925761418; 764373041; 405651415; 647875816; 53415649; 491300306; 723776343; 221852702; 372818911; 743061445; 429331787; 232384; 128746533; 489187589; 126689009; 184608888; 25045905; 184934206; 955719495; 517276052; 83447309; 367792505; 274706927; 345760393; 920153104; 854530779; 956425369; 986933640; 900088347; 234028316; 189010951; 834443404; 332383957; 720470590; 493349935; 623682564; 771936958; 629287634; 230042467; 120160190; 128074868; 972127117; 428933190; 31688257; 831349278; 717314750; 526708673; 966963183; 157001778; 526208230; 442311495; 50603303; 752250239; 949894597; 603541187; 6269166; 922597839; 755528875; 300932105; 954591827; 810255418; 777227661; 707459169; 100480160; 502639112; 343216866; 939581098; 68653891; 115840262; 122262261; 952432533; 918594966; 699504172; 437275013; 647702839; 736325185; 597375337; 900388168; 218015160; 93655587; 88257692; 162604800; 20672805; 571083319; 328362800; 326033993; 871864315; 704539602; 693795848; 268722689; 575146902; 544684235; 223700567; 789120757; 994333602; 795505390; 763615908; 238029391; 640693473; 184815452; 630113412; 72071330; 295628311; 430088647; 241075639; 278667254; 749705384; 664147718; 125130661; 993682714; 544763375; 903367057; 542017263; 726764966; 220151078; 229955686; 5212841; 440922845; 297316977; 858145969; 92622074; 141001854; 960320811; 764211441; 729251622; 774205031; 522150538; 781133985; 744754267; 362391736; 469529585; 751349436; 953868544; 59811003; 614778948; 894074215; 949287753; 793052735; 236202071; 255051005; 180439030; 383519238; 265909058; 807498554; 509766146; 886416122; 50880873; 458742912; 429742515; 823121209; 409883806; 62630351; 225481646; 525314727; 360855493; 926715425; 558581733; 96074629; 56471696; 604239828; 662595248; 235077164; 250607577; 462515565; 452300935; 628372017; 426346660; 653144897; 521868355; 955790793; 355374280; 618179015; 260855274; 35277335; 377535052; 517302416; 127035430; 586928688; 320411861; 654938124; 629723419; 167412238; 912487835; 510492008; 815020417; 31788417; 33529360; 65186782; 759977513; 960720405; 818056734; 868804836; 766835333; 776352926; 63367556; 735909085; 889872994; 49765661; 174063293; 245237911; 449418849; 682970022; 839172805; 463939462; 100736418; 380402157; 9061407; 548163824; 368840454; 84615631; 257757918; 182127386; 376794701; 65856158; 601753845; 670936689; 317886345; 341748076; 806444113; 3737778; 721181926; 32647468; 4736468; 10918975; 423801524; 560284523; 650483626; 289657048; 698364862; 58927298; 598768927; 804287668; 920878181; 77898939; 72452829; 783763756; 249048354; 573063387; 631533880; 202741975; 643453093; 617659082; 33643917; 483505542; 948412732; 846131071; 743930; 711856856; 296980839; 483010592; 436519969; 11190890; 708922535; 148094106; 579583246; 577829389; 746848688; 632920240; 616367274; 375545667; 793456996; 741810189; 394206866; 434039440; 959454100; 849854952; 319106341; 883123155; 654999752; 132785683; 195809817; 616816108; 592308316; 130639031; 801536267; 448027297; 456391331; 415067985; 320675141; 95346307; 72945622; 64121938; 405322477; 388802816; 389599993; 799007370; 645482210; 326781402; 67604548; 721508019; 549669015; 6934247; 851855876; 603204343; 559726058; 432817983; 516100652; 667962146; 501070070; 42266921; 841233220; 977458990; 318723580; 246398453; 654783477; 825836134; 162559306; 143289014; 323071962; 633247251; 43039917; 268058280; 754633280; 845133748; 191928692; 887548131; 128541; 13948703; 803610402; 806522931; 851623468; 520461919; 929480302; 259414838; 531434782; 60281330; 886313490; 200667907; 787773947; 617771333; 260405048; 817086321; 805698257; 71375144; 756957149; 13486796; 717612617; 686063691; 15213485; 277778354; 490540748; 7007016; 452304510; 91141491; 839657227; 53907887; 475468234; 453265091; 923008830; 570124892; 64231546; 397691429; 188072356; 591490965; 933097387; 817134155; 432785777; 775343623; 302451124; 227795582; 228841479; 98800598; 704272462; 654840714; 640935261; 813973555; 654728203; 448787508; 911383314; 210486298; 655880496; 672453622; 437321762; 729855343; 352752534; 236291785; 341980717; 915027601; 689301897; 278836475; 942793486; 578152146; 472508049; 136121057; 416755895; 493246860; 488641408; 973216434; 459385216; 136088924; 579924464; 388400813; 13195159; 775011893; 17663574; 465973123; 131356934; 569769804; 984198730; 953264250; 252183195; 532346146; 754390766; 626612734; 594561146; 942816846; 116112412; 965321568; 980368854; 418148218; 630254272; 180102482; 778418086; 801146575; 23520247; 597264595; 582591953; 848193494; 242049540; 587081940; 55372911; 163529373; 6597606; 710057761; 265927480; 183631325; 581225743; 362932861; 49004629; 460152851; 529438055; 822430771; 798950224; 495435605; 148360068; 549387665; 86923119; 511997226; 748201368; 911514329; 340058083; 916915838; 989430614; 716587270; 793730435; 603430274; 702680784; 140199876; 289341908; 847530806; 716934163; 635505378; 806661448; 840708180; 383437566; 335990415; 611797694; 762895183; 292734082; 362255094; 467994684; 584189206; 548896020; 395742238; 26365817; 465620147; 368052838; 834434978; 477330746; 624248485; 396403443; 465779826; 740952398; 93001567; 275138027; 564041897; 839787464; 567082944; 477432405; 236387712; 230458838; 371799818; 991120726; 342076033; 954237051; 553643873; 608140350; 278259543; 952913556; 669117032; 162463966; 581386365; 292386153; 312967626; 557488077; 722001828; 123129121; 682186795; 831279410; 448654567; 658821312; 116391311; 541782326; 763980852; 184938202; 318982151; 651407791; 351365424; 520278092; 890359285; 876675294; 182822782; 18748040; 916571707; 750587716; 278555242; 8009990; 126607627; 8323219; 605058452; 969321900; 176712248; 485398843; 227545829; 55758292; 52880424; 497547351; 686894369; 119244350; 637578478; 807175975; 646890547; 621748480; 898435345; 968654831; 918716337; 47190041; 974512999; 270441707; 679237163; 830257507; 652152960; 681011783; 843800897; 735032661; 145424971; 620328333; 139930119; 818019690; 991851758; 446815153; 767831439; 924813682; 510081042; 851256241; 186811769; 891451206; 446773688; 196164199; 214643654; 910341835; 637520024; 172065480; 887573010; 700997131; 531733496; 656672082; 36075340; 664335614; 108372306; 495177697; 841693596; 619225803; 393083816; 48262744; 442105323; 37990760; 923595516; 773580990; 742932707; 874130362; 86535282; 254622390; 46386604; 800219045; 627094331; 570881064; 417315119; 878168401; 471621287; 965360993; 346737256; 772113295; 571678353; 102222720; 356769943; 801308721; 414093192; 7274657; 297140410; 900476622; 26545369; 330836775; 781778198; 189015037; 301927085; 737704355; 755271210; 451584653; 743869747; 952811301; 204992213; 846888761; 389810920; 790341554; 374273343; 649743534; 944740304; 126553505; 448897970; 787676728; 36720535; 685601135; 546688979; 758263620; 766166623; 831630231; 328622466; 914611096; 405631388; 296847439; 389358530; 605879232; 557670692; 27170848; 978622976; 276222900; 556902984; 832945328; 816863085; 523227373; 124927231; 546915054; 938785584; 927487954; 101424099; 399756993; 681275342; 89120137; 992215643; 684064376; 466859536; 935208624; 401920582; 263219327; 280287859; 605028222; 233931078; 244555238; 9454390; 592914144; 904953631; 21541492; 133371738; 798172242; 759785395; 125284326; 173327525; 435343047; 865305356; 605619062; 947865034; 804190994; 749830301; 719047130; 446471442; 431901713; 593538832; 792773282; 108359957; 401824407; 581195461; 371443516; 779789087; 769205262; 824721709; 601456405; 485616383; 185544580; 95385672; 297682149; 442739750; 85022014; 480946068; 232546994; 437720966; 197141447; 452344290; 475346394; 448968866; 556880073; 235260629; 741357253; 969813968; 68715074; 657033311; 836737364; 655196179; 403647660; 916100633; 805881321; 467378822; 816937888; 790551592; 390806718; 314687318; 54278481; 402885488; 862114635; 392390476; 98850108; 162298090; 876541434; 326488770; 204919626; 461286844; 195632246; 868570469; 137157266; 450948928; 526416205; 555660735; 216343143; 35886438; 525808681; 959312986; 679788284; 772376614; 940967231; 474988741; 167486380; 219420893; 944251785; 66285368; 616133153; 997395884; 899104230; 768787298; 385221046; 685913055; 892972249; 932064476; 785378186; 659973230; 848832618; 968344528; 505944211; 507114713; 235289417; 918163896; 692505315; 834927456; 756195638; 37427989; 341549252; 943622643; 194055173; 461959777; 970392575; 99217183; 914418247; 934314709; 948122650; 357117528; 460256407; 57147611; 648063189; 897179811; 733995206; 530782294; 133743367; 103618827; 299293793; 713124880; 179358768; 249518162; 302670054; 290429864; 554726363; 819151452; 730553853; 514463096; 370877976; 255852831; 651401778; 606842639; 60721709; 220761774; 444053767; 884453197; 504646309; 921344230; 529398215; 943939959; 43454959; 795249684; 515658780; 818350977; 314270107; 726271232; 843665591; 67458445; 320394839; 637780031; 169937442; 787160719; 200208585; 204768851; 305296710; 386984798; 105196401; 408298448; 610609537; 22592327; 999077140; 321915257; 346366718; 292441921; 744917334; 605218192; 427501465; 901289145; 869043943; 276640175; 354058877; 352450856; 518532572; 538221075; 567350761; 149051501; 702656305; 141233430; 240610869; 550509442; 520758643; 160914009; 647178859; 76449582; 779024598; 250046377; 378744548; 513531663; 878425057; 617538842; 298370855; 699488348; 228206810; 722830496; 453503962; 436791122; 177593047; 356773497; 548572252; 640434155; 166473740; 971968542; 479297232; 96198247; 380111658; 608803298; 75052686; 759147855; 617721202; 143741817; 661602088; 880098795; 604182246; 125336277; 49877053; 34548867; 570896299; 888150380; 72907235; 459960666; 870237203; 172094126; 141538958; 895282074; 355111110; 848265364; 6704928; 522419913; 968827293; 823328680; 270896549; 706719677; 149619187; 287429763; 754377052; 507202626; 992743343; 990757015; 214437200; 209904640; 642019325; 746459080; 599636726; 488022744; 953893170; 153409683; 657933071; 370525149; 351468672; 194576011; 842767546; 33057; 225090164; 757950439; 368141655; 552226479; 31359432; 743706892; 442623670; 646948925; 838333757; 814760907; 480914407; 862033625; 706789671; 713642893; 46287214; 88831530; 961140999; 445781649; 300458461; 560143054; 784986980; 660938773; 663212491; 482549052; 605333289; 967370204; 218206398; 849976133; 901176090; 743863425; 114642946; 202590218; 651005392; 216645793; 799057299; 364767266; 619375310; 778945782; 848890405; 381488849; 845815373; 520448078; 597026690; 203342712; 103184205; 398891166; 521442381; 372682677; 135134729; 206367196; 332376787; 462103570; 210200967; 768681256; 382192136; 362401990; 374954224; 668284735; 110094511; 52476413; 219511306; 12637816; 177198682; 486433255; 171661952; 730556114; 38820146; 722637309; 557980333; 461208812; 152235679; 816228319; 453300754; 223532473; 520790128; 946809769; 637886279; 84171018; 712702015; 291973126; 993493794; 551298327; 217660394; 610901649; 904379303; 256879979; 980553146; 207079755; 289881296; 461453215; 741148609; 769133734; 244262326; 447055210; 550402450; 274057369; 436419980; 709930607; 487361319; 161597939; 615414142; 940420157; 165156501; 561417111; 229040581; 578885580; 368835808; 760980160; 452734404; 337934681; 3315128; 55233429; 619285614; 442318876; 573260694; 66271070; 703974984; 369485891; 311073703; 508785052; 676163350; 585732715; 815869603; 692430286; 359447110; 950855123; 659053977; 815807927; 860378567; 70223700; 511820699; 196837545; 784728013; 131672076; 42892773; 376068736; 911982463; 80798098; 515712249; 221974133; 148383753; 797663870; 908814999; 581344672; 549012261; 72985707; 372284951; 184119969; 460135231; 615914409; 668543305; 776191559; 119414179; 649559894; 428507884; 514984443; 194695522; 103878983; 250811486; 362369938; 882373766; 443020108; 602484135; 40281377; 772412226; 452973083; 305600188; 938049828; 483542563; 718497324; 187128782; 294634681; 145774537; 999840436; 868096855; 690784224; 451136972; 890490038; 676442403; 219850051; 337947119; 35556822; 217588532; 467499312; 327054616; 206119070; 532785811; 360204811; 451828340; 652759019; 23275788; 256866858; 945300335; 890975666; 601563775; 187551252; 374284843; 437182482; 227680064; 472966274; 790310295; 709547557; 425227694; 693988265; 904046356; 640487227; 594988499; 571741202; 630165059; 557312568; 500463297; 605221758; 647986367; 13100109; 947479680; 365662029; 321825758; 104495209; 257268029; 819419290; 923593954; 679503020; 110391213; 973494463; 321013779; 796313290; 19891823; 112360900; 325156860; 557562806; 133392328; 182512378; 578233468; 513223587; 143464387; 668904644; 508763604; 420416416; 347022086; 464746581; 217997224; 965033078; 840805883; 392585432; 378114188; 502312553; 706204727; 240852805; 554731655; 555855622; 969074772; 878541689; 291079659; 234461704; 265735317; 578628270; 630066211; 617611411; 614756556; 432680618; 506644774; 273705391; 853518284; 944757304; 134688505; 425190142; 786155015; 447927499; 281438999; 265643492; 775608158; 644842792; 176291337; 556294405; 614429562; 653312303; 77264730; 209766134; 545702931; 409037798; 812067719; 703858040; 875190548; 667146978; 713926731; 945888913; 940819321; 386664157; 365583076; 715116161; 43477113; 550741628; 532103657; 665685383; 791505484; 681837388; 946733680; 832599074; 349570595; 15480007; 120784291; 837278084; 779863437; 965608893; 551180002; 41886636; 578383287; 454924643; 999028303; 648966755; 741336997; 593536591; 65740948; 362020726; 518218849; 640495427; 483418543; 622575356; 155418034; 110226931; 216657821; 666656955; 584606375; 491448759; 956087708; 159214277; 910034857; 315946950; 355773330; 588527314; 712570910; 612529133; 662935433; 531876812; 842860336; 409244660; 504363670; 598338775; 448117849; 254479755; 757551275; 240890696; 779738256; 291245509; 731586472; 654721303; 888990568; 98322842; 594921965; 284895538; 648922231; 754067479; 726228569; 342340223; 236259683; 472211605; 186167998; 829894773; 444927358; 782119357; 693600488; 436851297; 103064180; 222115546; 444526840; 605578599; 176587866; 736973798; 473086610; 74101891; 762745807; 854794122; 541897801; 187198378; 632407095; 536862994; 120703424; 604573334; 464315876; 729453392; 781448295; 782320759; 948980113; 357587823; 150233004; 291149587; 731564774; 413682917; 610311931; 683360474; 675247150; 323802092; 496184625; 743022134; 34196944; 259929883; 976034591; 484787059; 940794516; 602842406; 128087058; 204552993; 329963919; 595147756; 373203080; 342962348; 889378250; 129697687; 370872758; 789493700; 782375648; 913505252; 582185331; 847391977; 374901328; 787135007; 722567593; 444681766; 185442461; 940246385; 246532151; 460032693; 320527969; 669436954; 876930300; 214562744; 713522966; 276045913; 520408452; 24480611; 514346684; 400147134; 972418751; 131374302; 415982421; 860286275; 493929934; 334621196; 436875290; 715716170; 592387495; 527723524; 728780028; 506605524; 688973166; 671888141; 905386111; 520383626; 862925921; 830575591; 403104684; 106425503; 331808456; 188089443; 10815219; 565642939; 358094969; 867175074; 29066438; 924721666; 544286766; 949220361; 830356434; 322186438; 797193948; 999088195; 944168751; 17296315; 890667968; 228600007; 689463800; 549461114; 407062945; 992741540; 644421095; 256227231; 449048778; 511541812; 433690742; 471926479; 298416439; 922848226; 463237372; 696399197; 990165276; 126746212; 929465355; 171829000; 688944091; 386745327; 30684224; 583176818; 535162625; 57037215; 902111214; 610620379; 779236177; 721063716; 907064426; 194030915; 275393172; 627252200; 464694205; 543426838; 302281508; 598425543; 154663581; 968630936; 70174958; 772688641; 460094785; 845398822; 923687205; 119662297; 12986991; 329973646; 229840711; 888382852; 929917485; 180103723; 363932208; 965428031; 705458355; 294353381; 532132948; 900202384; 47863497; 43684819; 290522645; 453193026; 389886117; 871853160; 65327774; 592273774; 791906761; 303073314; 825127167; 7861424; 652106810; 707997475; 853473899; 288078750; 296366579; 753958320; 92979083; 880497856; 580041700; 336240302; 943001247; 558273475; 666893107; 232852259; 910943303; 734718839; 992576534; 972667864; 934536176; 122186083; 798138702; 878165482; 987682975; 415555455; 638826798; 973746721; 748252865; 605406427; 395229697; 916495069; 808527122; 764273058; 504442542; 942513426; 53045046; 998103045; 402982620; 610150125; 78643856; 370691006; 606947766; 699127215; 581310088; 520189570; 731093766; 200942881; 410997201; 506764123; 270889434; 3214019; 67917091; 192861192; 118168651; 872261890; 614385714; 253792561; 29201571; 974773766; 191634218; 549402052; 932941723; 453093668; 222666012; 971800714; 90668489; 736496201; 973834698; 323221978; 181780500; 370769177; 601972012; 464746187; 820205139; 5631204; 225121752; 999690739; 218099399; 914055263; 468644838; 27536217; 437735413; 82202453; 336712227; 957416531; 609854370; 91358152; 685143970; 607945368; 323506158; 499834623; 900243029; 17405950; 155272930; 299324309; 501638246; 188885176; 950085620; 957576258; 795527746; 808378867; 974679676; 346445754; 663524805; 410945110; 194188112; 481769462; 719420608; 451804077; 549610158; 349558025; 679008651; 189047350; 613770535; 564426911; 999313000; 379723930; 829627532; 68213419; 406843175; 765938588; 982766631; 109028515; 508739701; 937509627; 241297356; 547559258; 570983840; 996991456; 715856085; 901737485; 935048656; 354467528; 49428885; 578632410; 611433240; 631619443; 751726794; 612270331; 373695102; 545065749; 744959829; 371470059; 739772678; 913550211; 167484129; 66634279; 868468519; 560011929; 570066733; 978652222; 278915183; 497105318; 501406252; 505469007; 44424902; 861468706; 655961020; 967413462; 269595980; 961337940; 61978990; 721043629; 259634431; 836576635; 885521519; 546441422; 190080486; 806491576; 416577696; 911560487; 555314857; 827301887; 65700299; 95583493; 989384574; 932878488; 843009525; 901915327; 175894974; 346037861; 281003195; 883692425; 419706572; 470318984; 70227489; 207090707; 941495333; 918758130; 662850211; 101330114; 583187243; 953062301; 384887919; 108018284; 450598564; 326501138; 930485101; 300867470; 267614698; 447740996; 881038602; 368237118; 413718958; 505675570; 88786161; 892089332; 839845015; 745241488; 285892382; 209713032; 911931071; 676073164; 759319822; 781061092; 190291952; 742717837; 81117746; 904929968; 892834302; 987145938; 529683689; 471349853; 885797666; 743496573; 906527721; 886027926; 905291228; 103945278; 315591141; 91061696; 753720009; 26178002; 217917690; 951492207; 951406264; 369770442; 441621808; 621470889; 667286255; 596259589; 422938507; 939320694; 535141947; 57332918; 877994421; 188347799; 338590617; 13682392; 83040141; 664788894; 776147858; 891525260; 302886385; 903522802; 217885392; 597132833; 920161087; 960156739; 409495545; 998535992; 8917970; 176154406; 38453571; 668158421; 52500275; 274086399; 296723018; 997397688; 16213568; 724741923; 624178400; 705804348; 778000057; 647593158; 314325022; 227594710; 564258072; 368451036; 437069493; 108946197; 118469114; 38843632; 399539341; 294386849; 622196728; 270713816; 753365648; 701083767; 174267094; 554640305; 191358519; 16899022; 140901269; 394250193; 746041002; 637316636; 224800036; 702358732; 723810604; 755404900; 410025473; 393850672; 196035405; 409421379; 573665010; 883218846; 664923003; 662585796; 405014269; 778258328; 758945783; 31098884; 470593804; 835918086; 654029947; 299107080; 630252741; 784651504; 824280924; 531336009; 729832690; 19250974; 832861208; 493183055; 898480941; 459502292; 588482201; 111557187; 993019915; 641188960; 640672998; 189700268; 819705047; 385076358; 104696782; 771313886; 534769807; 156143141; 550616193; 832417358; 244086153; 943943389; 367451730; 828534121; 886694721; 836510198; 67701662; 564481459; 602836040; 410216558; 106992468; 792801219; 549645882; 759241084; 399824233; 209316885; 522901372; 149102861; 762357531; 235701969; 68577912; 901337136; 473930717; 893053762; 750922847; 144041187; 186174561; 887627528; 205426865; 589009819; 87107494; 920196240; 983140536; 102121639; 783686011; 97734112; 425404216; 982190774; 387782503; 869494970; 992593396; 565442077; 469391335; 226832602; 197033040; 911039500; 457228487; 432352132; 77077779; 120261726; 470304300; 322034176; 370805045; 291436924; 332229928; 395352732; 41563722; 845389930; 381878511; 325863614; 397889250; 695119672; 752493429; 92762301; 473841878; 495959726; 727357277; 231784134; 950186296; 961684510; 821247368; 983495697; 345894586; 898191128; 246316098; 580022122; 294050132; 974283293; 169991162; 94307333; 696229949; 715721934; 62870355; 493757314; 69302701; 571791870; 123982466; 548294631; 409693909; 220827204; 421438557; 34618256; 547935185; 965860576; 322835389; 521530010; 955908493; 868139673; 979753097; 513067041; 842606279; 732476154; 111138436; 1657182; 870130807; 423931151; 559675266; 953707177; 553313698; 819382176; 364562663; 303699218; 516464167; 363487640; 307656948; 8760029; 758736431; 129262889; 672525553; 26049884; 278808835; 255337588; 120612924; 818270566; 713988212; 790347750; 19099710; 92695610; 376725301; 404270887; 716722565; 582533559; 889958979; 102641439; 501914051; 926757613; 14633289; 653476358; 736415081; 970267289; 650287860; 670710925; 855085978; 891046183; 655795636; 431892716; 679211064; 248380657; 837610515; 676163700; 153629147; 459229857; 671573062; 830281455; 596057407; 936670166; 287013197; 192164446; 980990740; 390816208; 934542498; 631076711; 970641919; 467451663; 356901889; 920627624; 843378964; 898524355; 761808047; 663799447; 590479885; 430072083; 57564303; 369798365; 696972611; 452525695; 765701606; 226838962; 539619984; 896814690; 397521927; 695447533; 81296124; 787929606; 439955988; 983224675; 161635573; 854381594; 177129388; 185547037; 887624794; 221931249; 600816462; 733073665; 910370145; 114686897; 437485077; 863341806; 501838021; 9053931; 759546133; 312968900; 254634339; 709225937; 300649094; 995732236; 743435725; 888926342; 962819185; 700389830; 853288255; 822977590; 607231344; 603294436; 254202060; 956995867; 785615133; 483367706; 538049782; 833595097; 118652448; 53600746; 565477479; 875515443; 320488266; 555304249; 622984510; 725781097; 740660225; 915004905; 125795075; 231831629; 320973517; 971375215; 416413727; 19369321; 818811537; 638517355; 732642423; 404738070; 883768603; 221945452; 628630828; 447463835; 213374755; 793083226; 535617260; 697307058; 891073176; 49462967; 915659272; 406236695; 4172174; 967581898; 589077504; 463557772; 587011878; 25681370; 667278613; 824751350; 138415654; 818998509; 244348375; 566289087; 505379178; 719960320; 425268390; 833923057; 107288952; 232791640; 903518268; 819430027; 635068909; 204151962; 203995830; 621749655; 120617360; 141692446; 796948433; 859910161; 307679122; 458190182; 301631516; 408047460; 827044205; 945829145; 438580256; 535655861; 654752002; 820438095; 552227983; 65279650; 245565220; 457305011; 539439573; 461009708; 729321239; 954511080; 194765059; 708304314; 446710905; 621024607; 337774371; 800347618; 971344589; 250340891; 971065072; 525152759; 235402812; 259290305; 539441840; 242781598; 246111995; 26879317; 589926868; 436576020; 980390610; 937813048; 634376378; 587584248; 777873570; 836464431; 372479223; 368949362; 293443707; 242779055; 810758409; 610296916; 717914911; 571331642; 75452382; 375425906; 281149284; 423107974; 150049876; 869311390; 902039205; 413717965; 41118469; 461367202; 916379846; 258965117; 700325562; 303092891; 86800329; 49310758; 952473190; 538870766; 49466714; 735035154; 524113292; 164599405; 877290077; 446531628; 654727039; 565450812; 494589836; 357049151; 97030971; 677413473; 69086640; 982706192; 819680197; 953099202; 647453216; 758805489; 690820344; 390630169; 754051408; 155446519; 10603184; 369554723; 350714089; 373607463; 104246760; 678068028; 886424273; 101591392; 854029229; 899238578; 609541379; 943451378; 677655517; 365804023; 517987198; 316097811; 630337763; 118921212; 20608702; 853172095; 529234628; 414138542; 434625299; 410545284; 764998678; 960152790; 580552277; 596193119; 581276702; 665324394; 457100260; 133019534; 873634210; 53255530; 497985717; 669282348; 571546133; 241494652; 489182388; 810737001; 774501013; 680226697; 200465027; 693491541; 113783516; 596327367; 676374254; 120806007; 496607189; 262120651; 278992181; 75721762; 854949310; 462051187; 655531299; 221589171; 687083955; 292734943; 314006533; 946191589; 562736332; 946955199; 570265764; 733648586; 677492119; 444434066; 875130968; 88914647; 553988425; 610849011; 189275568; 512186308; 64714314; 892718001; 928762219; 668824200; 191816319; 994183189; 695340557; 511358681; 956444470; 891323066; 686607568; 990877883; 208053993; 953333254; 101824103; 240541336; 361420109; 902559492; 76109821; 773081586; 408338839; 154495692; 784722256; 189603220; 830282775; 861839574; 216865899; 172486948; 723052708; 796607840; 602166123; 654981828; 646781070; 486580438; 373212519; 874561697; 554070373; 167441550; 750171145; 118223373; 300683884; 981300789; 432653897; 766230010; 106833584; 964693921; 386664714; 626962744; 11473185; 314015696; 2672577; 312071384; 275603243; 694392504; 166444513; 587020837; 86475791; 294231551; 215741055; 699764571; 116139525; 586501687; 177722947; 564474623; 652038712; 511882547; 471977172; 815783462; 531546739; 152910342; 16711971; 425667472; 37533101; 600003268; 914653573; 402056459; 433868203; 229126770; 769215350; 375429561; 807734105; 75324370; 752198179; 601127580; 771601530; 620581496; 373249689; 530186652; 957848364; 853378087; 487710824; 997238512; 867921136; 542672403; 705186705; 54122350; 559808962; 493820787; 142427631; 12509719; 522143765; 110733668; 516362496; 840929793; 771843860; 979094839; 67840472; 885942071; 51138090; 760613808; 226511243; 186517046; 181640884; 565507634; 574424189; 297063504; 323851881; 103760229; 241454390; 658225333; 26368553; 178506139; 637315973; 539727341; 750232099; 143616984; 68083813; 20134678; 499571753; 770007381; 712585131; 744480811; 706305647; 441987970; 619279583; 336872586; 210455073; 75966377; 871530093; 134922569; 166714264; 17639355; 578345769; 145635; 332270560; 283219630; 625282943; 84102072; 269936478; 950431044; 783972134; 525673851; 402641490; 354256278; 265235451; 702634934; 865872523; 739354480; 466181327; 512846015; 27833641; 292351458; 44133307; 899987661; 329438586; 751599880; 588113901; 907508690; 561087799; 95427431; 436519310; 159846905; 139508027; 642572586; 211911196; 784693506; 808923493; 367118805; 660581143; 157778860; 678716255; 735781260; 463543857; 901630623; 929926592; 432638269; 313909667; 334644815; 94732082; 472254851; 41725816; 813657249; 831659891; 862483890; 760375856; 165957802; 138950716; 548867407; 788856493; 190796801; 312834157; 782140171; 120039234; 767506325; 581444432; 995401619; 360786105; 416813730; 49064924; 78119635; 638015791; 855921776; 311067115; 254350764; 499887089; 749059205; 976457171; 31214816; 748181237; 836496917; 250619827; 630893932; 349732314; 899372695; 670644530; 118036884; 749881420; 760297040; 597812342; 888852281; 617446105; 834637373; 404888581; 433887930; 252575530; 962884275; 277900486; 554245737; 319506045; 258954451; 370921394; 782675613; 761624438; 978806362; 51065618; 995089471; 185815913; 937819890; 321820508; 65378678; 776461611; 154775569; 770159843; 869523911; 235135585; 749248182; 370507750; 337676952; 211749682; 324910470; 402202464; 691789883; 978287174; 377541733; 586508972; 921078682; 341660957; 80867431; 664669371; 791577960; 142420963; 40655853; 253334589; 378452395; 261206111; 849667451; 345437009; 763928719; 345129243; 628523175; 86382500; 428696581; 408207142; 49910328; 559786467; 248794057; 6676487; 201370850; 12648471; 267054088; 839719785; 362638702; 975517714; 596639507; 230421708; 362762923; 57787446; 743004975; 633616035; 298801715; 464893346; 415110350; 696591795; 298937150; 765366805; 843120015; 669037895; 13487239; 960168215; 862606920; 968644335; 329802181; 863102717; 839104638; 976203464; 598119310; 843551558; 995177134; 69168761; 649247976; 711017717; 254636619; 136728592; 607723295; 882064751; 511429583; 559246940; 684821565; 255356174; 524354061; 562206129; 823586022; 134995736; 717068194; 545773852; 267980342; 651986664; 915101771; 538431240; 902228229; 542480907; 180960353; 901305213; 808553644; 302801958; 835952470; 887023268; 807365582; 863312452; 891841; 827027403; 788340107; 199522754; 70827764; 841959434; 258994338; 591132244; 279437053; 616385878; 203635184; 128824370; 970082409; 627212132; 901849047; 119777219; 610000608; 295999813; 695061694; 861311570; 486737863; 58456488; 374900942; 319131727; 865393319; 953430586; 919040101; 584692873; 731531993; 998563224; 502694191; 848160792; 194895064; 549824870; 821187886; 676343041; 322966670; 154202671; 842338863; 296181701; 430133676; 439629268; 702652307; 216386072; 389741675; 185817946; 440387328; 894537922; 336722056; 973924095; 478261103; 992907905; 364378103; 352038298; 164151351; 161125679; 779096237; 635760530; 8088846; 960330672; 563516561; 803763353; 623728659; 463829494; 800826562; 48280692; 89564913; 157720853; 75506721; 199288195; 266824590; 22431626; 983518810; 611747341; 702683777; 95454039; 527747369; 146117868; 611998825; 298655910; 994808582; 476774076; 747444674; 402995445; 603051398; 221373106; 454514409; 555724143; 878115456; 842958132; 800243495; 112083217; 526598869; 113934522; 327129830; 421966678; 869831096; 885780597; 674522806; 269282212; 706389509; 705681255; 38702430; 404985527; 249996177; 623868707; 293286923; 438744192; 442519584; 861374360; 477487083; 349748852; 865333113; 440769555; 536533373; 187442392; 784096282; 26932394; 241589254; 55175047; 538862299; 160902027; 737579369; 85103511; 409643639; 483318631; 543183304; 620725431; 468217457; 224757657; 978536901; 791871715; 710605863; 33312080; 753469505; 906728486; 209298248; 399896029; 625752086; 286975498; 693872612; 430959972; 109166424; 800032686; 840371529; 613495193; 822426667; 165521172; 771762221; 612143940; 805452791; 73584331; 820997608; 350094672; 299617181; 781675916; 291073487; 412860254; 510915688; 704899772; 863034099; 315875887; 106086302; 301712802; 791203342; 167196613; 778633799; 174989425; 18286133; 647826669; 513168041; 590231295; 575815779; 949480769; 294281935; 809644322; 625869164; 969686783; 719992388; 633544746; 739388324; 69248318; 896692519; 442685441; 583561100; 789766844; 356052239; 140149248; 412173036; 274380692; 734888340; 375918521; 884867598; 413208837; 495902991; 165572488; 581953179; 963544308; 201208195; 638228065; 730158902; 946020246; 420116986; 97300496; 94579099; 396413086; 919275372; 275620808; 739431286; 330792837; 331811130; 683633297; 983400538; 273919185; 41527513; 639414538; 747065240; 212116645; 881968589; 107885185; 300078257; 886969463; 669995077; 448816021; 899806604; 30000900; 893603686; 486668473; 929726267; 444341559; 80741964; 128118760; 687442595; 258945335; 729366318; 182120644; 389861525; 290115649; 264665261; 386219993; 310644253; 519266580; 400353444; 30983579; 655025070; 910821985; 727158963; 904171034; 840231768; 56347682; 299367596; 974453300; 835834637; 954753125; 654116376; 689251059; 938156675; 427009525; 913353246; 154901290; 673642788; 796176844; 864864014; 893580269; 338726382; 31892362; 43263181; 941985369; 261983580; 261556368; 85995705; 729063824; 398764625; 739091344; 149542575; 182245285; 450378773; 947518607; 679578960; 566394058; 574925612; 15751191; 746112028; 277174192; 309954594; 316786900; 634284768; 21746509; 570478224; 429581392; 585301103; 784214977; 497577212; 394136466; 898482550; 307675926; 9537559; 821626235; 310476691; 806951780; 988109586; 156038206; 73195493; 884297747; 82754242; 822937850; 915908519; 588564381; 434427486; 502479448; 84314377; 760195689; 875107757; 547265520; 971203689; 226020219; 331910469; 966153157; 965730160; 387092392; 311717364; 882214270; 309760050; 150034346; 950966700; 474236987; 637672854; 674590620; 353389932; 789294112; 418842060; 462039398; 346011415; 186883243; 783371307; 321195572; 763131578; 707931162; 761293684; 857275067; 450688967; 365297895; 826722743; 867620367; 751092466; 542966857; 651936638; 520549115; 860538705; 562477681; 180730138; 701323489; 643078766; 996183122; 475096869; 810662781; 17540252; 362995215; 869884826; 404930008; 300005920; 698863623; 208365879; 103827198; 442837073; 8668328; 974687216; 132832980; 655452843; 260181735; 559457259; 787374062; 445289976; 246924038; 620039171; 662954386; 626280296; 697968998; 571940671; 571402991; 170638761; 988154874; 850655062; 653603513; 618953959; 155732817; 217036651; 630602896; 628387385; 722246879; 995233160; 754228094; 598346886; 117608204; 550053513; 131820839; 950285522; 839445244; 646084628; 700314276; 737370241; 255640417; 153189076; 994981342; 286059797; 711656309; 345438216; 35926743; 678771606; 890297202; 281235431; 240784899; 399917064; 509325438; 763077172; 779389632; 799932195; 338383869; 116872261; 689923738; 203550735; 319193010; 441439073; 738704912; 669585777; 730641692; 266021944; 189893970; 774543085; 351706363; 113651295; 734740611; 918495446; 265461548; 659659326; 391900267; 596252484; 365201030; 598274221; 370826911; 244510029; 689141182; 119410676; 10343580; 439287889; 499146090; 331794920; 666567614; 281992529; 502770083; 305091160; 201666550; 728994232; 204202710; 722555787; 22464031; 172876159; 827372965; 429315435; 371820638; 452214155; 39696828; 969206450; 705760693; 812279939; 95307565; 4111065; 617655; 851741487; 107999871; 15354719; 396442631; 735278380; 131876443; 921585112; 741527016; 484966030; 830165491; 372460408; 972897367; 465580542; 853402983; 526251621; 162979560; 88253680; 639921709; 223661240; 233702433; 834760908; 381341548; 534289448; 583711114; 617362645; 414329819; 73021259; 91277810; 149139162; 436606813; 156866303; 109296135; 643616911; 693398491; 346259067; 455421565; 677197809; 893005993; 213208475; 550686918; 676116780; 751275722; 94085680; 357096623; 327463044; 910670295; 786183306; 475353918; 881517271; 973964242; 687919547; 298898408; 224958673; 410052733; 780675438; 752229324; 938636524; 128854994; 985251938; 154589371; 317368160; 175436951; 670763097; 134708138; 92525470; 445876349; 9870277; 823279039; 832025292; 601866834; 657593542; 562114049; 667899343; 259256387; 449730514; 90049481; 232889706; 302857085; 158602748; 379555203; 177568239; 313187993; 158365268; 681219686; 390645789; 19342663; 427583740; 895051127; 725934247; 76089452; 378303528; 382297831; 949516414; 704001063; 226980081; 561009316; 434623712; 215981203; 193900780; 48503257; 867947979; 50525230; 187521487; 160687268; 158211534; 122218198; 41112553; 918600876; 850075240; 798956125; 416523471; 641669096; 570315789; 940699243; 243224063; 468155632; 926801555; 694412756; 126304776; 983508325; 96026416; 680153341; 709498101; 91442717; 992558391; 419997461; 196021007; 645369311; 826927240; 494233052; 193566425; 583102363; 225153408; 322613966; 674582672; 44611739; 640701898; 8581508; 375550018; 652309558; 773872686; 915241885; 591860033; 490857049; 115041257; 920666949; 356913049; 859505755; 16679878; 731155980; 734651919; 194382589; 722172786; 597359734; 907093853; 265924588; 324885586; 259480601; 243852158; 800676484; 648674980; 734824566; 274026659; 569733284; 303489513; 950644676; 625403037; 165031728; 472276861; 412850980; 709723947; 15367513; 538220726; 589380627; 669108141; 513956987; 523361134; 173567461; 268745890; 674414148; 803506583; 519645396; 983132447; 237961585; 218250916; 623856322; 331580081; 499916733; 788439496; 867129642; 556198816; 652043849; 64417408; 372258142; 602375596; 399859994; 248075779; 564989100; 319476826; 19329350; 626952412; 845826669; 719685576; 451805181; 891062739; 666376296; 952883424; 921822635; 469565716; 687551490; 906916656; 960004330; 188624276; 82723782; 275366813; 953368885; 814065722; 162099127; 794357798; 508063434; 551654224; 394171122; 497924298; 963612472; 47335286; 209101940; 876856523; 81206168; 647375608; 867035131; 594211198; 314479061; 532062269; 730503093; 25382420; 632167989; 908275038; 832089108; 859392397; 745438659; 783398541; 594869050; 777814513; 403902555; 749908626; 976879765; 322519990; 487264781; 451080455; 768566840; 963689504; 956909630; 379760871; 214794607; 138260268; 248705930; 865181611; 690514283; 119052845; 308179111; 534857366; 363487890; 456694794; 68423438; 709889323; 490492453; 726347823; 285193503; 726936701; 224472328; 955710675; 994204844; 575981905; 202346463; 318950289; 864103813; 899140796; 857176467; 864910678; 688999432; 668873811; 613386244; 360945398; 838928068; 937954184; 833571945; 961740823; 614495158; 838626033; 547620253; 261583236; 686236176; 195364830; 314636411; 835726227; 74522664; 611565480; 858520189; 720298177; 217538070; 46481923; 493923236; 478135761; 916479343; 607810678; 297391607; 677904747; 773654039; 558357951; 555652643; 617572874; 124694055; 882443707; 906941998; 355394326; 112964691; 100472106; 36881425; 709494465; 693717979; 561017375; 133961901; 971863953; 481571089; 324289225; 843451368; 278959473; 399226812; 285579945; 78482752; 417278379; 428924163; 775015819; 913043980; 388307991; 714962673; 460884407; 265627241; 30023227; 181732789; 937017994; 563602271; 668869547; 743843327; 602918341; 96439516; 334038585; 176299133; 787008171; 937862774; 487375385; 409903689; 29132219; 964945257; 241356155; 649303935; 358294921; 397325414; 220586918; 851883989; 557898870; 747959571; 1156663; 10480960; 271586610; 53620157; 860978931; 652996630; 794127643; 933697420; 674632487; 88067458; 403708304; 35256285; 43914945; 255850543; 234732819; 206817332; 94023423; 222849008; 67875524; 852019111; 488458783; 590622193; 19301788; 378079574; 375463915; 149529648; 787005579; 790633926; 281263642; 686351790; 934450906; 471731947; 295900320; 972080183; 292897916; 620832144; 235275649; 117411466; 622645231; 701293943; 681053313; 581386546; 226124776; 915370984; 383103454; 901736473; 535980730; 424008117; 554220558; 625554190; 841458974; 304356743; 144978538; 792142906; 759017383; 323808241; 139897770; 681340962; 267494673; 561628911; 932328241; 861512346; 184630696; 866136153; 241088282; 58676422; 334864133; 641431435; 453564203; 420333321; 107821497; 469861846; 953120914; 603508891; 783813592; 297462390; 779763938; 905266075; 616096518; 788619104; 707675929; 630130931; 670169489; 892612188; 266190309; 562573589; 684540397; 701936636; 387117407; 417406534; 326834057; 133110960; 526988889; 520532681; 740095320; 133375094; 180346519; 299335942; 243801356; 620944196; 735791181; 408196243; 153998233; 900096231; 820092296; 769411869; 896530768; 147048906; 753000275; 17746593; 768119246; 614921133; 592559349; 899387616; 440376725; 527994247; 68704492; 497622519; 61287001; 621093931; 258088115; 471988152; 774106770; 710689144; 356125804; 902896641; 718302370; 744993559; 330500311; 573449279; 234058350; 21373459; 217780589; 504008949; 697327891; 836937429; 467088609; 537891470; 270280412; 434344271; 803960467; 84444777; 347503651; 599884060; 777709014; 778884240; 181962406; 43030662; 533763747; 708954442; 93029678; 627304698; 940082859; 53459599; 583094296; 537429716; 462352188; 113027941; 521464874; 549910627; 316053539; 53902286; 838853294; 726530849; 379139509; 373985941; 648801534; 423892201; 736178419; 8451307; 776163973; 389451609; 500402603; 550454654; 973473754; 324431379; 878704036; 534455398; 901780046; 350129121; 685953906; 909412156; 713328606; 429443220; 543783702; 521191758; 979198648; 353724462; 879663608; 993799631; 484844452; 24848104; 955427905; 141942568; 590771295; 552453013; 736274028; 116067877; 88925904; 48414268; 191487445; 558316821; 183999024; 573345138; 797299896; 981515883; 493258351; 686263625; 39929343; 890564813; 875874168; 659485263; 852719729; 257534565; 211274719; 945830860; 377340725; 352421164; 184800603; 106936992; 51969625; 644343678; 222517051; 475164643; 295179641; 680088666; 539195866; 221932867; 784881018; 255498536; 264594958; 49927463; 722288873; 221146538; 785135560; 99582529; 128756142; 59352238; 291264479; 811676475; 630926012; 947380867; 214126329; 975880579; 283613796; 126042478; 372870386; 711488531; 272122269; 831466360; 685211001; 125346271; 466799008; 315452855; 364880166; 49007027; 984657751; 9164978; 804217705; 2049449; 263581761; 344230816; 623166199; 242279521; 397344468; 583577504; 936579884; 28380236; 218643714; 95064749; 19977315; 922579290; 371968273; 523121972; 67246632; 769156572; 647150692; 229397126; 530149022; 236543736; 175240155; 364330900; 939420927; 744129181; 139243439; 387086470; 891163341; 968153719; 520565693; 484789336; 723605279; 610639127; 608005870; 490360624; 573757589; 54053021; 63732927; 244172885; 715329966; 44847971; 418999532; 438198856; 657732023; 757688222; 504152852; 914632687; 186725859; 791873050; 234933455; 738160319; 478151913; 786484263; 252377528; 135932468; 478995225; 363202526; 212509401; 320391497; 534839415; 466030517; 759954544; 623134661; 542232528; 667133635; 337593371; 732873748; 788773058; 490014758; 793155137; 800604579; 285728211; 651189402; 284974861; 84334217; 41475237; 256334745; 565545805; 370262567; 756355197; 366819468; 49918500; 163111163; 478601917; 778853449; 106486145; 284149223; 662441035; 110796247; 683839526; 483178694; 551874305; 398796274; 699577285; 118742729; 367599290; 602239483; 630388583; 144621073; 992187706; 746649662; 617926710; 750120746; 153336042; 76037972; 82169988; 879708995; 988146344; 347829385; 699095545; 833610981; 695445138; 308891230; 485223142; 106200028; 803773752; 847263200; 829808875; 148939117; 925174048; 856652746; 769624111; 748778060; 622611248; 439189205; 999562693; 353776032; 986849973; 818696263; 206059914; 592999423; 267166713; 120320461; 879492521; 319451236; 977949469; 467055967; 9325256; 506195155; 113696033; 314428178; 110264589; 918713707; 218702989; 747279103; 63550672; 637886578; 412359030; 194763760; 362527211; 718662614; 455439376; 145586915; 250152678; 449743695; 244685004; 770872414; 317640769; 81013618; 737532282; 515590961; 541374555; 628868034; 421757720; 837653538; 886781920; 891521400; 250498725; 729143583; 36219749; 52471322; 774066491; 759637083; 881255802; 761308218; 566902011; 413489429; 973843296; 270912492; 244159089; 437504135; 406389056; 459326396; 439253318; 515621856; 287381241; 701790927; 924293223; 774479979; 908409961; 96875283; 385572489; 815651137; 284859709; 948122728; 772397431; 417289356; 128887741; 811764897; 65415832; 214814416; 729420550; 244351556; 914997482; 86873257; 17947347; 211607219; 55422350; 869138566; 98839823; 488760678; 629313263; 599145477; 576604485; 749302865; 44447713; 666422499; 913621468; 41286968; 263640051; 8430690; 226742403; 858080467; 413309803; 465617442; 862685254; 269636798; 885344144; 597792513; 279832370; 733396309; 780285949; 364920942; 561388916; 236123094; 57277316; 395967465; 866739189; 923506524; 676921919; 741366127; 983787889; 33316734; 300720930; 349739964; 243982600; 228498962; 371615839; 377044750; 402756128; 366266447; 794831306; 729184717; 317210475; 519724850; 995576522; 862408208; 729612085; 454968405; 77004022; 535249291; 429590455; 810539863; 89488124; 149068650; 352139401; 874487477; 370030145; 577191338; 797907638; 837272794; 386502608; 636777727; 393006584; 462939091; 476730583; 628345902; 463764081; 38829272; 776658229; 201287732; 227713219; 863415766; 325934344; 888290701; 716696955; 416599106; 202094387; 456096032; 103524342; 230451257; 998635276; 342970028; 918080754; 22831863; 221915146; 390624461; 437206479; 394398030; 243000000; 670721054; 912445961; 74864262; 476547875; 801255080; 729739227; 729221810; 624002653; 648269782; 128130116; 843043130; 63665483; 316499054; 231346872; 881481429; 79174268; 51306796; 789268367; 198806327; 636807586; 111801567; 941913818; 485453654; 769935806; 231757606; 477760008; 744305469; 23629295; 203837574; 217151623; 67965759; 8190394; 446948106; 876481005; 313672514; 934273856; 532699571; 848731664; 846624933; 517222488; 841083327; 200760308; 549628088; 460859838; 814780401; 843189296; 846812980; 859058037; 291660257; 201539829; 109029071; 494825648; 880472371; 598258397; 766585137; 873375955; 507762524; 205978125; 633289121; 734034923; 289580785; 363046386; 651070685; 318899903; 145202317; 73908216; 3142068; 846707767; 7113165; 858063193; 644999694; 808856820; 993748726; 221051976; 15598435; 420003338; 902969444; 694745684; 828167871; 810904867; 317734049; 191083092; 808201616; 986075462; 551687290; 715309706; 332578268; 301789762; 381606632; 843232612; 339239828; 984499952; 336255863; 360770146; 496901229; 911604616; 91818915; 768240702; 318069251; 432109927; 419764356; 247799605; 102817127; 791848549; 140468460; 12045087; 302047297; 193839744; 150573720; 705935135; 403407650; 564932267; 740460372; 757688892; 482784982; 913791137; 363485331; 345569238; 950359899; 93062422; 629685502; 847513776; 925100076; 718142463; 986372300; 919229573; 404923887; 471528720; 704229689; 745418910; 283346025; 626718914; 702953297; 676166469; 453608470; 730754799; 902331172; 329668504; 553498284; 90026620; 946094141; 924677701; 115634849; 243796448; 478829336; 552531469; 777486156; 602013014; 199524112; 579007450; 48587912; 8358767; 681495410; 796860332; 114434910; 648172113; 738184908; 317997965; 23349328; 42484611; 644990308; 814706888; 820503307; 718176532; 233861260; 58672922; 98283572; 295881315; 843116494; 243359375; 911674214; 316653367; 563060777; 560165272; 231632551; 967808205; 273204379; 704473631; 627151166; 652375849; 268348197; 673816725; 325816970; 180343180; 966174754; 585075566; 446336585; 547582773; 224067922; 204952166; 338737959; 591493604; 896926445; 125206887; 753547725; 296537993; 269487239; 210098904; 415865744; 566450721; 326377800; 434989884; 29970038; 177151577; 537179916; 837105710; 676897480; 765071744; 337712511; 730605054; 678657310; 162712899; 73558948; 630873262; 941409157; 904956337; 340627376; 335451498; 584489298; 252793995; 811590417; 162560194; 937965402; 463608421; 351697922; 299953999; 77028390; 699881357; 739619696; 523972260; 732276412; 74782845; 877026950; 155305330; 491180858; 471141939; 509000990; 159701444; 444053003; 60028990; 815655870; 948952958; 97932922; 302771436; 488966978; 39943696; 696874510; 239288884; 846085380; 285276767; 246297884; 965050473; 269465290; 501472407; 94469383; 965106662; 974278269; 687454157; 740899227; 760903207; 534875943; 920322773; 726930556; 905597667; 134777919; 423669592; 362289628; 718879036; 684409563; 226265314; 143266892; 121585634; 473663893; 505957348; 617015910; 545810339; 42416038; 841217058; 254594564; 699268568; 543532012; 776506428; 210495869; 879550592; 457153931; 605571461; 185263474; 478420582; 440214267; 764221488; 998464340; 999019585; 348346806; 819345373; 770270118; 328424697; 475579213; 780403117; 102381261; 882208094; 89997765; 807012804; 458750682; 64519435; 728954279; 203218941; 769231203; 500397655; 517554281; 577070807; 402720915; 714218465; 966165376; 974814347; 320917521; 862995438; 938731897; 286185221; 534561390; 603199838; 279734903; 258680720; 372393945; 701287795; 288179654; 74648268; 117163070; 952179512; 346482194; 259050326; 790389825; 578954253; 661943953; 71558136; 706157438; 695220544; 22553693; 952684967; 86500704; 215999817; 65908789; 303018315; 398722670; 397497342; 805904607; 684178989; 432307133; 272727537; 925110602; 70159148; 205435585; 21906141; 871478165; 530943217; 600367208; 883731665; 278231993; 434103141; 845572613; 331282809; 890758999; 483086733; 414585638; 556984683; 438581130; 398892726; 705728767; 277712531; 595503689; 32482125; 82003183; 279535338; 405146322; 905003159; 487248654; 296781320; 226065754; 22795241; 31944465; 228149790; 894909981; 124005246; 514598000; 216688263; 207450543; 723845751; 790105238; 271695677; 72903010; 591802009; 166198351; 966747001; 921850414; 847697476; 639173146; 672985428; 654360672; 38930364; 615929832; 983633030; 8835968; 770034920; 334184725; 163424463; 373994706; 761900776; 306316197; 433002814; 242273226; 311241275; 778784712; 987947715; 638426621; 626496423; 395284020; 533118818; 423574416; 733483485; 730727351; 591641676; 702168136; 530162517; 226803345; 849265858; 348815240; 973507787; 717119120; 931609226; 748068158; 443584370; 504224731; 283973261; 29294275; 955948979; 11258704; 564938254; 339774751; 744071891; 907835982; 92397457; 524038045; 382560811; 172080338; 129515527; 928886176; 327726128; 517668380; 41343112; 945869231; 458576682; 193244051; 475253942; 320259643; 136311721; 776099463; 456006334; 245804384; 675576800; 359978700; 357493669; 913521369; 901534771; 593630558; 744408305; 170260732; 144936252; 506827243; 427410807; 986218071; 172000910; 709127117; 619688646; 889963575; 18840956; 543711174; 808206974; 857169470; 50886794; 87275099; 650881351; 460537741; 879646050; 810488007; 671665385; 707286958; 64200578; 655026126; 553719640; 91233365; 323320711; 856932891; 746826921; 19157953; 95135123; 104014495; 702146261; 472994556; 578185033; 898070864; 699657337; 850016666; 724087635; 72376413; 421168232; 631426931; 296714136; 297479180; 957599232; 497847475; 355432644; 877041442; 805016511; 673194497; 31097010; 237191936; 958691346; 184806223; 707349700; 24622857; 891101226; 850485744; 563985859; 185372338; 348282877; 382013156; 529347546; 768969458; 903769492; 596434605; 609058558; 709613104; 757032974; 875248778; 536290552; 571805823; 774476841; 333359946; 189873424; 533195333; 531257363; 33553140; 96354606; 997826886; 443542786; 580129941; 501283751; 849492301; 29179980; 360739097; 184705719; 550518477; 174498708; 370793071; 435537138; 183035156; 546190171; 727800269; 323669353; 81971452; 715927126; 635042852; 379228559; 162319545; 913154790; 736839744; 690367065; 284561553; 408592547; 386431306; 502076370; 776332442; 935900269; 432106808; 717775049; 716946335; 664418038; 711420724; 195840896; 11585560; 404386916; 513054013; 868824830; 920076748; 175238985; 833208655; 531183662; 698433053; 937329688; 433580610; 895604239; 261140546; 516815089; 569654986; 512663801; 581619329; 431389095; 872988301; 971435274; 862526288; 226627610; 319272207; 205210774; 622117200; 923217463; 150625902; 647398667; 472282282; 419121646; 294631655; 576092446; 586418990; 242408655; 258670650; 831065741; 232982921; 463827966; 536404483; 957114841; 943615484; 345288404; 261464510; 530384155; 101601990; 836944071; 79641783; 704575063; 821510669; 915433760; 864410950; 927505142; 206104110; 222516796; 687944239; 931241837; 9243085; 281234265; 600381204; 16895487; 693140415; 642052399; 64501088; 972541029; 518111532; 266036664; 846392743; 993923893; 716347145; 141146981; 946226726; 477001904; 793987103; 140071203; 33204314; 585478901; 363591863; 998890976; 497501213; 557255484; 970405444; 28227915; 655328291; 885990146; 170531223; 605501230; 334129286; 295496697; 181637058; 939276393; 543684612; 360874346; 647045756; 433906655; 759840919; 380079816; 324936924; 867252024; 699384748; 984998296; 28204191; 29373904; 153769521; 957897651; 274895551; 76556346; 51069235; 968402492; 450484417; 962816948; 935018419; 770040062; 590216630; 560679166; 734426274; 346188120; 612894029; 666496828; 824212602; 387313157; 134981767; 572658141; 770379071; 430267150; 650520413; 349007077; 523284190; 35880412; 500495379; 524147664; 48745947; 15233558; 19489814; 668036224; 216990515; 636656515; 227150935; 833821348; 873782787; 454448846; 155161264; 139859645; 612862153; 873871450; 752479549; 542665885; 594496792; 643937142; 986144816; 957816041; 883772613; 477225144; 558224944; 510631804; 557594918; 943588438; 763159942; 634978373; 883757948; 638236268; 940482311; 616150143; 244927255; 456974788; 714735556; 892428236; 732314555; 886301374; 453015702; 988653086; 914816734; 10519312; 795554260; 146071247; 364327336; 698018543; 938121404; 872106307; 183891481; 160239925; 380273607; 970726066; 671797814; 792214836; 79527292; 158057141; 378849799; 830938767; 453424408; 946481827; 208641561; 29817330; 404701453; 20240999; 240941391; 205506889; 820011060; 13572413; 476682267; 232325224; 245500566; 984881183; 629285054; 76919553; 976633877; 803773721; 699622345; 930462214; 222126497; 473871246; 538145309; 461799840; 708874837; 924860910; 387352601; 755795283; 921577676; 685085156; 890896196; 790499022; 477799837; 52142507; 914931803; 263145336; 827355181; 440261269; 239159666; 589009658; 975581463; 575399382; 423694655; 300925534; 693845629; 505751867; 588254858; 706460411; 956683067; 962324950; 19204232; 170036417; 214514882; 541201696; 498136510; 374826368; 608268625; 885967937; 720542104; 104227274; 827998256; 84554812; 72458141; 791249573; 425097027; 807003161; 982002914; 994732675; 468127261; 671358602; 782369960; 317799042; 145384939; 242133778; 778355345; 477138187; 656981445; 942544258; 981265209; 320189147; 67853561; 951889867; 228964884; 814019672; 705739715; 585127128; 225467595; 769830596; 608704377; 907681319; 315170825; 849866770; 493344217; 958059185; 45919048; 381264700; 55646738; 870686738; 282420712; 495126066; 372819491; 547544083; 138644298; 264562177; 813878855; 406658793; 810944312; 97367274; 483631052; 296983907; 800789954; 191192528; 796689767; 39147558; 97681407; 118982634; 715402925; 669600832; 156384380; 287790075; 773714053; 216878800; 229688724; 91730127; 149996630; 691284980; 400108935; 367324551; 96640800; 504237405; 217678714; 74055471; 66491526; 707653825; 542853192; 428127996; 216704955; 543728001; 354600118; 188393247; 64068703; 899323411; 429272645; 886283685; 728239886; 823235610; 290963866; 771048478; 84556843; 364594694; 404242004; 667466130; 573765757; 12372859; 446331684; 529432113; 265792451; 500603186; 875066766; 176489562; 513698152; 95174117; 802303091; 63690658; 684579233; 184036102; 244479655; 769051503; 351910673; 167611055; 595634616; 108646009; 410616622; 731904193; 543672294; 793146628; 971218977; 435061682; 330468673; 567101916; 339681007; 417309905; 106522137; 662457098; 380584950; 841259532; 417296723; 414640133; 86146840; 691431511; 24958705; 151409647; 544984737; 745016960; 297916835; 884833141; 632257310; 837155737; 285790629; 719791707; 172960546; 318403324; 627769689; 715669799; 958640570; 610713626; 826450499; 809778506; 965677433; 598622562; 343244646; 844195297; 18036010; 668029946; 836398434; 145925486; 854004060; 70763827; 34861353; 143402246; 144524644; 989783120; 769336667; 851201145; 372687590; 78477705; 526419789; 969126988; 357895011; 59387627; 388917625; 864175196; 651520698; 876988379; 968384986; 261834486; 874835013; 74602801; 379609499; 543906942; 61554716; 186356578; 629970048; 846910324; 329468652; 50503345; 326231778; 543850408; 124553398; 38851850; 803625465; 215582731; 624638484; 696489744; 828639507; 84616754; 302638473; 422705117; 916694750; 305055940; 218648246; 992283505; 552722442; 33930849; 70107543; 240240361; 412295933; 336015128; 618647554; 837385498; 861134480; 969488578; 406710011; 268577735; 846138148; 949450669; 859825702; 33858967; 931848339; 900810978; 477557084; 265467053; 82661930; 962523347; 143421667; 950951991; 192221293; 971110430; 859367614; 435098013; 519617528; 476027942; 112468806; 424056327; 42097006; 786810272; 792876291; 826034255; 291637928; 38295626; 926469602; 135976947; 45565748; 861469891; 828314052; 393669869; 170864220; 112908162; 256658066; 63758852; 797088366; 166129785; 776785360; 211080611; 441271392; 259311545; 135637411; 528759008; 402891449; 879143227; 606879316; 661886261; 190417934; 741968692; 151131335; 656281264; 944011088; 301258972; 162526355; 224577933; 233121901; 513644260; 186916431; 826138007; 799999207; 758904719; 974840222; 356750522; 741213101; 28197275; 295032380; 704341215; 47263181; 609800198; 698950786; 317795865; 550177711; 351931304; 94470693; 895827688; 209057933; 835870878; 769973034; 968895808; 966798841; 422840629; 406988244; 979618393; 180104053; 91242857; 779830079; 951849963; 397869634; 845328085; 79297522; 532545797; 246709541; 363080326; 67254292; 77083263; 487909674; 919920000; 207277677; 124092212; 372687464; 913149281; 620545734; 738527769; 195124821; 445517334; 56466180; 476391591; 515823874; 782140203; 632954178; 675954149; 24850130; 240602312; 250631988; 654881467; 877791219; 851193367; 477820710; 660753598; 158719491; 750489604; 680454504; 195149741; 543409457; 825095896; 446263310; 96229602; 245104600; 724872414; 314060623; 897589964; 881596546; 250350783; 396926474; 705314383; 330558523; 980062111; 796149493; 674811586; 791891020; 121387826; 692350987; 462307449; 943848788; 737692950; 123161210; 551508752; 656398699; 901705389; 443181639; 754693639; 604277805; 306125925; 756960630; 813606399; 230666577; 100981563; 351083580; 129208490; 501072656; 74316675; 85472309; 318432614; 189032535; 656028550; 184111103; 254939971; 889999737; 855183396; 93388353; 113155590; 297056668; 732128387; 444800251; 215299851; 505709642; 737512155; 543542831; 236225077; 436272057; 32929106; 371616796; 938394400; 950717276; 623385347; 357129800; 906249759; 616113587; 227465443; 383349018; 898784165; 701377559; 340684249; 106114586; 730912767; 827326728; 871998015; 843269938; 841751999; 463662346; 843803120; 888385884; 438315550; 516443924; 376845132; 154291675; 543792931; 327504933; 479954589; 600075003; 21651795; 159596432; 333872405; 596598213; 812608731; 444225341; 801041848; 343629743; 13896159; 876266495; 70004632; 12571559; 229135159; 643856259; 346634405; 391802517; 942118661; 276158429; 520247069; 358694284; 457303457; 425018064; 556832282; 833308084; 775575864; 514707862; 466315055; 209007311; 330598670; 354367393; 809394048; 736275145; 219521949; 990584169; 99278815; 774556327; 134408240; 230284410; 390862998; 751124590; 899405624; 272934271; 574844632; 678640376; 362199681; 921892032; 750244632; 583756931; 571497070; 443326612; 389084281; 527775626; 43912368; 306501497; 591009230; 569758158; 980328582; 126692175; 43071447; 87013294; 602335496; 346576933; 74807718; 627414249; 9978230; 287416714; 948445893; 242171497; 721724914; 911932075; 284112217; 850601881; 313735895; 358112566; 194971182; 117153032; 605233136; 937046399; 749530021; 878891557; 551703667; 617422420; 980979054; 452827952; 391411758; 899921381; 504975528; 799522321; 884156255; 60618558; 816653900; 368569935; 350184073; 889851978; 790920355; 205692030; 712789485; 590358025; 108793766; 61060083; 174825221; 764475126; 468864015; 157674953; 999681726; 697921083; 834878552; 970171640; 204277399; 92311844; 968513919; 909752366; 676618781; 477056366; 590899132; 46491492; 482236456; 163873115; 713624163; 697250127; 336036136; 161659227; 625538375; 161861964; 539792550; 308481311; 771785108; 181461731; 761112947; 636869415; 462699868; 204277542; 356281836; 12285448; 147677896; 441078147; 187060773; 113907391; 267117339; 337126916; 224005462; 666604566; 306036264; 887672464; 627236084; 850252019; 156045892; 925442707; 508670816; 696350876; 557394507; 331063236; 640002895; 35407870; 234641076; 151790369; 607943472; 292655944; 289601652; 72730343; 418167231; 924729281; 287209651; 380899109; 671595932; 553701793; 141302697; 314902010; 831951339; 832439276; 339974816; 275660018; 614385315; 544359201; 448107167; 486880255; 859366778; 5465148; 370813241; 87633658; 409000395; 690884025; 136116370; 546268230; 96022786; 795950870; 778050868; 54889553; 913805309; 992338269; 267730003; 251714190; 372078835; 760298368; 909611236; 953522692; 813802805; 973118189; 615951557; 485192314; 239609232; 578058948; 982557728; 434841529; 870854141; 269926672; 211103787; 559590877; 132632102; 733784718; 22405694; 63787653; 535200627; 202750729; 651955880; 417649088; 233855484; 867104841; 358253286; 436799116; 800008590; 110155457; 240458095; 334625669; 679318025; 709930986; 619346389; 669840902; 973904384; 779738945; 759561330; 424780055; 967467612; 560268945; 949477666; 338572125; 859656993; 685343587; 937227731; 705140853; 48344109; 18951735; 556771290; 260027411; 722026190; 933987230; 799512919; 120297053; 812503725; 38224828; 89816636; 513285347; 53423485; 170977100; 872130779; 785727821; 744249599; 806779766; 7668171; 270649102; 21750586; 504846251; 358627443; 411029566; 349082514; 241652977; 450269385; 461591700; 931882124; 23265187; 692078122; 802953520; 290184719; 508902087; 658880174; 148803298; 947245377; 203297454; 160961216; 208404700; 201246478; 641906347; 29764624; 671179072; 269891554; 684419768; 483838031; 22539352; 668620852; 86558175; 347902793; 891482597; 246995302; 611116868; 904824780; 107083874; 582098679; 733503064; 580846735; 891352095; 430468568; 768002790; 324650218; 607307530; 393421892; 784929440; 223550593; 503070351; 558872695; 955994170; 954905525; 613151598; 192688303; 510635010; 923542833; 512252745; 997890823; 522204813; 997399672; 816585452; 794941905; 603995751; 927938364; 444395994; 884967614; 602822812; 29059190; 762821261; 988786263; 9099927; 715979502; 34374309; 481536701; 940979333; 747258875; 5673684; 646752137; 962112032; 10136576; 576983697; 376369791; 430300296; 349945589; 473702758; 240642140; 647939317; 527903497; 742740935; 348430629; 297540506; 743219192; 36294792; 879362823; 395366220; 119809385; 909921622; 187472659; 118805683; 266118030; 702795323; 131712592; 841972304; 152492742; 935494351; 808917460; 412002585; 59210531; 87775266; 906877557; 916289822; 122119195; 405081817; 16574665; 207672203; 637238136; 478801407; 820982703; 448900929; 605882035; 464649343; 97647335; 317829887; 647171225; 710270612; 632781032; 110461794; 613525651; 74449948; 403440931; 387585029; 561604231; 622050143; 840804994; 96296864; 246391522; 699538215; 627150052; 779901295; 209279994; 440130458; 312788613; 510369858; 297086189; 390739295; 884708305; 229858971; 578272510; 915835891; 484256672; 955298663; 333008241; 411630624; 508077021; 663885661; 469600236; 376980240; 200673522; 574419448; 292668495; 358192098; 944146252; 891325880; 695543809; 211331729; 163504525; 587295260; 97648747; 276421622; 941863258; 151673871; 578382767; 246576195; 598063131; 746880727; 843117422; 486710546; 185463097; 286520803; 140748354; 296090531; 581473274; 32032301; 963900725; 666739002; 162152382; 115292942; 47792170; 175716485; 578283676; 766277538; 480872606; 278113172; 819305991; 842885678; 346160156; 661157710; 444157048; 29181397; 516238414; 142926449; 715409874; 806094053; 143612014; 694417955; 788174086; 880736416; 143857191; 415549819; 92387957; 120416653; 43174815; 449401706; 127811276; 408075702; 977533795; 580986024; 696636278; 323670792; 566352355; 311507901; 240754479; 513012377; 184827528; 398532777; 894617761; 90082434; 699137063; 130822160; 366426365; 119811345; 529859520; 226894169; 889460584; 166873267; 16333668; 22612992; 95322665; 633358374; 302690951; 715934458; 123651182; 466082148; 657903002; 595802193; 5799723; 395789706; 883902071; 642114024; 428308441; 979701351; 777720115; 876709179; 332538889; 232925409; 544161267; 335583320; 598889867; 896556408; 753727113; 586628175; 988287113; 721151323; 902306399; 460346444; 146973138; 160605781; 257603123; 39790478; 765899337; 169386609; 982556892; 209540248; 578699075; 745551659; 378793816; 108142294; 1799315; 805647775; 833917799; 312720743; 685791641; 452681219; 914293464; 15240643; 523776806; 726085577; 987473956; 971254459; 283831715; 638431362; 225634583; 777112030; 586443550; 316908482; 35971162; 249314171; 742617540; 493427233; 996142536; 41528691; 12171165; 382006435; 813615288; 942850098; 735863001; 717711678; 219776004; 335776818; 535388077; 274196478; 706710747; 380813783; 400863923; 251875489; 96961365; 144273571; 755103290; 621983174; 535303188; 386033466; 600650184; 73296030; 962882627; 404324016; 241293051; 147525610; 255437320; 765439751; 54051675; 282136741; 561381177; 952700846; 426402967; 179311373; 774263254; 361984363; 547994636; 138393261; 331543729; 332770812; 707555296; 987220383; 345930078; 359021247; 311971885; 905755812; 489866397; 428933345; 170994206; 386391723; 145103068; 85662060; 667516336; 197283554; 470113870; 797482288; 330714922; 303272531; 131805153; 582690722; 292265383; 103200303; 567875857; 905241537; 636193136; 609807477; 114093752; 172287790; 933713386; 172175836; 557087258; 709231264; 946313347; 170056426; 713803018; 10641456; 719064472; 653919069; 104000967; 158802678; 986867814; 502986035; 8056914; 994499126; 785354446; 252442040; 969753736; 486338665; 21362896; 321999925; 618323000; 223022683; 389125175; 643570581; 679765310; 873250597; 20472660; 271068353; 417111976; 635861730; 960302840; 320422954; 955543385; 613237997; 314479779; 702301691; 789819905; 563242998; 727709933; 104970003; 352210988; 389340740; 689229277; 505317493; 914590859; 97261561; 156429978; 329256582; 986320092; 955343167; 608418357; 211358446; 390046792; 995166773; 727507; 772905268; 317553089; 131393370; 924021144; 543361104; 692701319; 889461118; 60087007; 794936747; 245274985; 117554833; 974712488; 306110196; 250651028; 462659695; 691227912; 700557242; 543191576; 808307571; 298502357; 877877241; 598887971; 475345532; 428858717; 623613046; 853142602; 5940176; 823049685; 406930559; 39729568; 817569660; 696402804; 491990040; 124353060; 130967204; 938743547; 69706916; 35663534; 570483983; 248998169; 143209424; 793674611; 48378595; 416039885; 514212401; 140645815; 38310434; 718830216; 566671271; 671308358; 40742041; 878579039; 221255041; 896595133; 658870554; 751443022; 648238062; 700122099; 362811096; 841846185; 769707091; 889526992; 735930794; 273344514; 486397214; 108150417; 213170575; 803989989; 975422103; 461003364; 673731947; 982852612; 989183174; 945744090; 931291636; 54927288; 446520509; 208576632; 667880767; 234614270; 825609432; 819343549; 433181697; 304018187; 812894315; 16419547; 821836858; 210746602; 62786045; 77460897; 467742801; 40918231; 837459602; 908678895; 896171482; 614977721; 329667359; 840929756; 599411284; 63521810; 261988607; 740109007; 283732559; 561984544; 773027594; 815563296; 501926230; 797644293; 705873791; 165169491; 66353534; 809018851; 673131136; 391860501; 359634532; 421925888; 749135510; 566972576; 210135147; 65050849; 772896666; 825212811; 601483129; 452806235; 105738409; 295455317; 677189026; 380662220; 769112673; 34444817; 190653494; 820714897; 425807465; 756009917; 224548719; 442160213; 455281408; 667987684; 394740208; 575666021; 799631588; 203320519; 193622798; 853746866; 667901992; 596872864; 621067049; 629124989; 893419701; 821047595; 990571468; 306225910; 716741857; 222173136; 755581271; 128678196; 586552101; 234314461; 796204519; 790789301; 500189527; 819200240; 236524150; 416980345; 552695720; 867632708; 57153096; 818045233; 450722181; 306573263; 444415550; 395552971; 601982849; 800849517; 520857953; 457813291; 248176424; 354445568; 529515278; 123791706; 984965617; 385588410; 283811546; 719693960; 988997421; 859294728; 9141725; 803468339; 279879917; 543445385; 587640023; 302571940; 366879167; 501608887; 468240942; 996247885; 58932320; 18275384; 231121155; 708630370; 578367479; 927676837; 747379621; 646297107; 690093097; 989451226; 404928327; 714181980; 279694755; 820097880; 433444076; 139771498; 582678772; 538714249; 775123331; 831829355; 507222582; 107163489; 994438286; 898672757; 919744423; 637808815; 704595917; 702224731; 455455906; 698796936; 285339550; 872182579; 562716676; 201234731; 862375074; 541435378; 238366036; 746236984; 784249985; 133420147; 239976697; 624929763; 798106185; 199524593; 138882332; 750652375; 928821489; 289671838; 406888460; 626180032; 456528523; 616472734; 817440624; 44941298; 536509370; 68007678; 440206578; 145109004; 947340191; 860939768; 549028357; 631910835; 193738558; 172320586; 20242775; 985414839; 186330740; 670301703; 49515218; 271590540; 887515888; 511508667; 999924627; 928691585; 198025574; 278455234; 575496364; 839949669; 847315041; 291280566; 563862026; 163310631; 157347865; 330392463; 453667138; 790734550; 24860928; 262861120; 696814680; 305792398; 178803813; 131057582; 579216520; 320678795; 90093940; 815997813; 67829503; 863933969; 751119236; 87506135; 792477305; 103356236; 454766194; 872003249; 936036183; 47715692; 421770460; 290278314; 798802021; 699280073; 325064405; 787414279; 943909903; 900421774; 479452237; 221903334; 280934808; 2736175; 342472468; 687536791; 529260484; 174376041; 741418220; 263755756; 626301334; 317760797; 260758519; 713423500; 415308849; 561195454; 217963749; 499109725; 955662922; 429191987; 71531800; 501799089; 188865312; 718305927; 416529161; 728632616; 462779994; 580205595; 889915334; 361097692; 391732092; 462879482; 11364672; 575670546; 99617937; 935126145; 419265807; 841678250; 742645081; 72143468; 243304447; 878295163; 377553258; 89568242; 239166601; 983951484; 231851425; 444598786; 583752810; 175799177; 645828225; 658034160; 114492453; 323378716; 395362181; 685635342; 62242603; 445512116; 179031261; 47354534; 258468962; 75834826; 464096676; 60569516; 1148157; 410765643; 259353187; 529430046; 451655396; 808653204; 917216242; 683007357; 83778593; 10510338; 749528061; 347168377; 956892923; 694940513; 383375539; 928286032; 114063832; 865061420; 203654685; 557863440; 798918046; 765009768; 787347140; 545208566; 680970669; 25503588; 356426285; 927261766; 732017521; 892266263; 488194652; 566953646; 839051699; 670576110; 213878972; 980796052; 280444148; 315564087; 195528852; 102148936; 839991225; 151916071; 954368873; 120979623; 665793011; 64461344; 495475814; 963340978; 380042803; 764784660; 436133482; 831515997; 796739668; 204735844; 173566806; 439421739; 782421097; 551660635; 402612653; 68476461; 885811354; 721572294; 197535973; 184562215; 192924504; 769761267; 958412091; 419701188; 361859137; 876181907; 552603913; 286715402; 318579774; 357111442; 940767138; 617494323; 708712391; 129628486; 212770791; 811488605; 174877559; 399316331; 564281582; 909138907; 508364778; 891567784; 30000961; 497316489; 856141933; 537564185; 43314122; 283648923; 444005104; 894947996; 276975825; 193211468; 580842508; 852394302; 768080764; 210037348; 549881157; 55948298; 217070899; 166819403; 290380122; 908578792; 294146588; 108257057; 138657736; 570163454; 833899572; 592698651; 490708240; 744928205; 464827271; 218198747; 383797216; 673700066; 102349891; 510260196; 850688535; 529607188; 689292466; 636410462; 484969774; 883262169; 208321824; 250463828; 31754939; 942951640; 610437894; 732582410; 772822246; 123112012; 664706812; 82702259; 146700234; 328387320; 355522575; 865808334; 344293037; 381048705; 492268882; 193422256; 140058299; 908733860; 960953598; 726363950; 394154879; 985720116; 443530815; 260505478; 382900745; 703630264; 983890944; 378831388; 847165580; 808103374; 924421768; 304302718; 425533912; 935592011; 402664723; 967453713; 335913276; 727657788; 447573773; 827399158; 227658645; 857199118; 433737299; 426205454; 14961062; 330727284; 632180593; 389169865; 301534664; 144669735; 195818667; 589641655; 605429417; 849624055; 962063010; 705612189; 369680507; 491760566; 130151390; 371799820; 7649828; 926066955; 298864892; 459686713; 75951519; 141838199; 2022073; 360672400; 995271440; 681950314; 213838349; 343135082; 421279119; 151527135; 914982551; 704371665; 981141003; 836481399; 383219543; 964806747; 834862181; 636100822; 373832751; 929524975; 707820065; 826891122; 998710104; 600751741; 43702923; 611758807; 540734737; 32752670; 944724561; 720739690; 879135789; 295470074; 589144283; 719229156; 30548842; 498604947; 563135053; 604009750; 898737668; 966546640; 639590869; 672183606; 280548435; 13116591; 187443183; 807474103; 169415203; 193152060; 959693494; 158277431; 828566722; 41702011; 574313919; 219111828; 112227251; 892461874; 483473527; 264471151; 183102642; 618965012; 533985337; 143569397; 955502465; 53292424; 653969017; 153790661; 877190932; 345791657; 902137131; 135679105; 738745208; 236266754; 604272926; 972420370; 160523008; 262031829; 953343331; 197973309; 65234771; 211834110; 820242087; 654435690; 117876544; 506401914; 750150116; 338898516; 621950475; 16181949; 798702387; 106709232; 13826661; 876658973; 104000590; 202808154; 690299095; 595729816; 643301397; 323877730; 297777216; 13989614; 922377895; 350753160; 694509508; 277991035; 720459748; 683041462; 413539143; 360359316; 813834407; 779101948; 401160568; 685066243; 376869643; 357491228; 158851430; 644682358; 100373933; 859603509; 500747334; 888082707; 282754342; 457757341; 532652380; 2948609; 16254612; 342719626; 420249853; 211636898; 330220770; 36017210; 2339268; 728825485; 112276790; 408147851; 211773355; 426309864; 66082527; 921836670; 931349837; 775731733; 43722937; 657197034; 293178567; 677072967; 552429256; 640143864; 808474358; 685854045; 423951761; 714533840; 213164972; 592565922; 642101617; 350689379; 34913472; 239291636; 473733831; 927055318; 117297053; 144804740; 587701686; 356162278; 649139353; 701320825; 811986856; 824902778; 426697658; 443853039; 659536867; 613765802; 136110943; 206939411; 854362971; 838228240; 584048129; 419497266; 159166509; 987001882; 142020333; 998980575; 939656032; 56190079; 837614335; 90471104; 853695092; 124686073; 810635338; 777250927; 613764389; 418207056; 827824649; 577049578; 54607483; 459155841; 317477662; 559419056; 773195697; 97938056; 581863346; 46297487; 113584296; 898438388; 618322733; 203423728; 559022547; 938766389; 119809374; 276902935; 319493308; 156551190; 901631681; 312317724; 130907035; 108056408; 736234348; 585324415; 197181451; 478687086; 606661636; 380050833; 6459561; 394848214; 12464262; 621070195; 793327019; 252027645; 231793375; 354018755; 5219119; 219707631; 262859774; 282768978; 462561195; 365499126; 773863438; 583983783; 98151134; 28633751; 272515221; 614070035; 586763884; 723738649; 283243923; 920976043; 316664167; 887831195; 440843759; 243689065; 63472663; 741815318; 992463042; 775464448; 947777879; 527274021; 946072478; 100457046; 169509822; 13467830; 584068663; 392235932; 239454510; 403679684; 435641965; 461584752; 909469567; 775582869; 196885681; 629866707; 388550171; 172670362; 318140544; 380268617; 782499826; 696466947; 816213879; 902896323; 20079659; 29342698; 613436978; 20693325; 250735405; 310745242; 3353893; 694337601; 717407246; 880944813; 599799369; 669383452; 304066699; 604577967; 326740607; 404944348; 697721834; 440808658; 581584746; 397365361; 47579241; 309414350; 833812143; 302636640; 172390188; 872112511; 575914710; 831162131; 698051312; 22949753; 785587486; 31643859; 616660562; 582810953; 71821263; 581620677; 270273767; 852455731; 49273196; 724038376; 546665635; 847356882; 854426633; 624709050; 227519058; 606704103; 403561023; 636719235; 397884546; 130117130; 754396729; 899834678; 298242858; 362705477; 51144826; 735112731; 477609910; 907479131; 22467798; 250814610; 836553146; 105528222; 129350994; 245670049; 938445283; 896188584; 684758741; 170672606; 590654267; 852909970; 346782112; 697669411; 695451293; 212187734; 687975078; 277418562; 460452066; 478244391; 883377172; 735570549; 609327750; 721911133; 991518215; 390836158; 96713729; 207163383; 356941033; 901919528; 994154952; 340860253; 780269912; 604155342; 997899915; 806661683; 247368833; 246795439; 784924589; 879727963; 565763387; 448005580; 608691458; 658653970; 297312642; 561583232; 505625346; 484440771; 719883044; 29634863; 707412625; 281275386; 888872051; 624549590; 351800435; 183259790; 688889972; 466942713; 384460091; 452390939; 227110060; 689623803; 473900608; 250131661; 521918815; 616319148; 249419342; 356534311; 564640176; 676779585; 704963942; 418231242; 549553595; 299006552; 923863198; 193852416; 686250583; 221535266; 268430507; 357301115; 665362416; 146473269; 759852153; 172162872; 736018386; 838449085; 66004204; 891192167; 786307698; 769648622; 999588054; 412821103; 968362234; 98515912; 191726332; 223329202; 389410572; 192966055; 205597169; 527358375; 8262336; 669884635; 143098815; 832234999; 1483786; 777225002; 74277934; 1558641; 790373364; 271940266; 781824791; 460438690; 504001533; 910759765; 910660415; 661940815; 747366719; 892351003; 150901558; 149270089; 490770176; 122933572; 372867313; 628761306; 207037212; 3822517; 893890365; 334482285; 443779427; 683644816; 548362365; 222587541; 848754849; 227912924; 916709666; 407619599; 99515491; 990190472; 646046786; 640471507; 273327980; 313578681; 117056870; 582819445; 904218356; 225798770; 788351660; 622056127; 639558709; 13539901; 844858969; 357533386; 292020044; 493980712; 788755128; 197794208; 527738252; 380522422; 224969111; 302977041; 977977822; 332180242; 934432170; 167827132; 500492891; 249366552; 96410552; 746587089; 922414610; 911235137; 448278667; 784348332; 57416331; 593225491; 856399779; 842528640; 156186871; 620749373; 78785451; 774461370; 835217147; 421929220; 853129529; 319045001; 874370765; 344391903; 754294934; 201782612; 711098510; 392989540; 788634882; 707891680; 269800052; 326586889; 882435831; 242132414; 782071493; 157141033; 85776491; 417833560; 622130429; 66317624; 750682056; 854176874; 746567924; 696792547; 622793065; 227247326; 459887907; 936852761; 527729311; 368401290; 449300595; 203917648; 888173730; 555666812; 905370142; 587405853; 380815101; 53750786; 354060332; 487885518; 502120738; 107318466; 966452551; 899120774; 301147836; 158627599; 746668193; 449161010; 479922398; 26275448; 883714027; 188311446; 718268148; 693427355; 632497217; 380360804; 209656722; 610878926; 869291919; 136667829; 944516826; 548406991; 866707717; 687291201; 453965074; 730477913; 45752540; 70875801; 123969685; 529674065; 585797004; 567750099; 680991802; 846544733; 596044458; 825970617; 267836369; 393413684; 593324893; 468606398; 91117135; 972097509; 142542523; 103045253; 547657907; 790643050; 545913651; 30133631; 232411941; 513916303; 45300323; 519493285; 32579373; 237394487; 655995674; 331505993; 77683927; 542430814; 688616639; 936806911; 866477245; 251284127; 907902991; 689741382; 839654389; 537678996; 972862283; 796085401; 809960278; 417979261; 529429803; 383877936; 450792801; 282781426; 436432544; 303352449; 623330065; 299438017; 609738655; 808528303; 623407049; 577826572; 11327463; 458159990; 414771553; 525483863; 617747750; 201491013; 169519321; 248537923; 947381861; 652402786; 67911911; 351620329; 667810578; 10473782; 197214014; 106177589; 117048964; 586628712; 121257459; 182426924; 249930667; 21002122; 364082117; 108199469; 544209976; 174292284; 773121479; 42352401; 697424933; 279410098; 166232318; 656552762; 142353021; 189898692; 949611774; 306848993; 664630216; 168506352; 897855258; 833590386; 87559798; 521149754; 852612556; 909296165; 657375660; 495186784; 254689948; 644209034; 763387436; 355181267; 19320616; 979422779; 300292233; 344068642; 980375218; 105525376; 88253358; 939778701; 838942120; 610612867; 994816045; 105514711; 394207258; 326991288; 335869922; 85998738; 595242027; 303023149; 634528197; 89394285; 779515048; 208949946; 267055870; 938697586; 854614051; 185245003; 699594787; 598775692; 658825337; 679386898; 351877405; 731354577; 146834343; 99128962; 747507300; 318548288; 70151273; 913204432; 47405517; 505080720; 850017889; 681182903; 218124883; 42198316; 725729666; 221391719; 909433719; 514442062; 705164428; 424204630; 719454258; 216298730; 927457804; 376009698; 364690013; 794126718; 803333581; 212028580; 831608656; 553407929; 925766485; 100257577; 472292202; 245251761; 131666035; 603218638; 148273479; 12971044; 92621709; 354362202; 32081930; 62704975; 347653043; 317177199; 513447489; 886430424; 77043977; 119526735; 770366026; 346296225; 290572064; 938141588; 345477243; 45847431; 523057056; 17476776; 791543877; 344922729; 634486369; 304090301; 531291351; 988985927; 782371749; 575011352; 538911930; 799699871; 585997607; 206240830; 533809113; 360676008; 206118078; 560300272; 79479823; 611675573; 270958999; 523627039; 194816654; 916732536; 680149003; 473984670; 400921278; 939229953; 895007407; 935686466; 187452479; 850869117; 335870360; 291764299; 117118395; 478835661; 200575876; 200861258; 286759594; 610723415; 283682825; 410195261; 511572762; 693844702; 274037870; 215279426; 622633969; 939746069; 993145192; 895586520; 525124491; 985982765; 469141388; 389532774; 236671135; 818686599; 85547650; 25068300; 685334392; 133989866; 802813270; 144153439; 877668158; 693764835; 315430606; 482374564; 751180018; 533972397; 636480274; 859495173; 851384603; 671688909; 257677172; 748744846; 589301644; 573849378; 262631040; 593637835; 944376894; 368842327; 682616025; 393233711; 111713127; 254886180; 499556320; 827927588; 731808489; 242897958; 744384361; 113335117; 917552939; 471044691; 522236704; 599627797; 150692741; 456155692; 412722797; 549442671; 347107335; 390292152; 412919466; 438367551; 151425188; 92414080; 181599403; 656433497; 237913972; 56665766; 916704590; 878773471; 906306801; 721847904; 683297165; 528143122; 56348014; 370806584; 395779454; 238276771; 225917520; 443698934; 322257537; 133005297; 733083416; 352030484; 416417987; 31046177; 789610154; 143078289; 972144169; 519585422; 713773983; 743953909; 789468052; 579673103; 793077905; 561509525; 547511691; 593908937; 426791970; 304949014; 92605386; 311836787; 351572040; 416125165; 15472407; 735831411; 737020969; 498659090; 960977342; 285434549; 170962514; 594956944; 309926421; 674016021; 916315119; 29939701; 688865608; 426322789; 905395416; 397284131; 471742146; 296394215; 387697167; 505295992; 345166291; 477731925; 769333391; 96180846; 460853583; 234052321; 798098319; 849346879; 731258574; 429623658; 401958066; 71962849; 935393286; 935306780; 809304567; 507944616; 859484908; 286095697; 662967281; 85859510; 296579683; 993281324; 422814357; 33626861; 611097269; 572518423; 161063952; 160650037; 297723925; 250327663; 471902634; 926101990; 154045072; 780099016; 552910104; 804265347; 673658970; 778480557; 187521644; 870275979; 878530300; 777726947; 453108825; 961072409; 578291182; 36501843; 216442318; 821779412; 12635942; 349467917; 373418970; 925297933; 942637689; 365317250; 367852686; 49791316; 419923008; 811268382; 305959333; 936228679; 317854878; 743876490; 333509752; 935519233; 722300783; 32138366; 236289356; 411396024; 866498365; 25533157; 31403714; 921008884; 249715479; 221580585; 259604756; 785352734; 473300458; 211225496; 245946816; 878165324; 114587802; 894937202; 852051504; 653135057; 864154595; 293382658; 140584367; 214829093; 541484804; 636368738; 275908913; 630990221; 52287870; 135102029; 157684645; 551869617; 256866758; 867163657; 313571664; 230201671; 264659636; 365218866; 838051052; 361977820; 506668830; 958067380; 94215046; 394261684; 290131835; 201232719; 906987965; 490955060; 828745297; 325680669; 792873507; 491884312; 309420133; 368844860; 360275305; 82615682; 169824353; 438015288; 720404055; 22496448; 974401044; 399085001; 548353350; 764889531; 169949759; 573087189; 527679337; 536934990; 184154604; 947085119; 306214358; 835979189; 395101060; 672311951; 638748746; 346214892; 145910820; 419220379; 633452007; 82074997; 569742361; 843233207; 468175601; 836581049; 433826698; 238339172; 962079774; 172080233; 606581687; 452831506; 225247041; 696785545; 132485734; 335275890; 596403077; 235472522; 7311951; 51374839; 488429779; 345241863; 415525054; 80860917; 323782201; 944627672; 731920277; 554379450; 531284688; 835425170; 932370287; 740648950; 733268791; 878758718; 295272248; 430588860; 962686527; 765421094; 336808317; 806559711; 300462122; 169516450; 572985532; 928559132; 704134186; 138111481; 20596399; 2397533; 892867010; 971069636; 971323697; 391576882; 15306792; 866272869; 182721887; 460134764; 619704157; 732255009; 769073573; 172078313; 890065983; 446203991; 963161522; 435109120; 225052066; 56883933; 661502941; 805074765; 250239271; 585018648; 487906196; 881558834; 135670766; 337529928; 433594809; 398879773; 548362613; 285300625; 98432571; 158374060; 537034894; 805816233; 49044300; 124122579; 543925542; 585773748; 980897343; 898348949; 457553989; 922350488; 752938305; 708119865; 172528328; 471951795; 609034098; 989630209; 841727420; 271862097; 351706597; 256718269; 232614165; 670509500; 903185872; 982459788; 363350187; 970600865; 814171627; 357990800; 808504596; 531122928; 572208398; 518022365; 122547055; 124470049; 481557735; 769396486; 3495307; 103349173; 491768391; 104537750; 195536897; 602217169; 734622399; 106565302; 868728965; 341247443; 235533602; 383986358; 684989650; 851734868; 371465755; 672574893; 74163486; 504501605; 784942139; 736621646; 154109523; 508281373; 745708661; 803155514; 211936417; 713077183; 771442077; 685768328; 314937687; 794244951; 323349738; 283603904; 599564081; 525123408; 756461336; 162522900; 642476502; 28277410; 760492107; 380921533; 848381540; 573222682; 155204004; 871905629; 349765603; 229753852; 435579468; 942475017; 537401518; 664892757; 49097599; 979515817; 733596390; 291916738; 924533445; 5237515; 835901177; 198385216; 515236823; 192555486; 112070315; 632609485; 965585751; 28355587; 961248183; 16759605; 590769780; 713999165; 844686638; 560919609; 955981811; 826128466; 31136076; 763754777; 973511878; 314183718; 297409165; 434118760; 974092364; 834781362; 183120393; 733824595; 665460098; 80130820; 616392854; 611382187; 940138038; 826243756; 275228295; 665025095; 84795116; 142488551; 768655555; 619278626; 376307873; 770001805; 258571358; 967199493; 477627567; 604871755; 770956248; 346331922; 991286173; 514976182; 830629451; 956044352; 248850561; 440387509; 482276865; 602783791; 533059261; 221837307; 243283294; 798792589; 220381983; 305796150; 659097514; 857179223; 160169776; 562384655; 524380909; 29593579; 192403950; 458152320; 710712925; 544206001; 2189089; 843515265; 931146764; 468134614; 420807519; 854981143; 37322675; 601121046; 450634292; 621607298; 164396962; 662130050; 918427797; 767222412; 93498564; 286046994; 960351024; 445349969; 472744730; 567226357; 926401017; 130218543; 252744011; 142674459; 441669541; 22203417; 415433244; 807555956; 569271461; 319221987; 954967958; 749377940; 35584261; 31350250; 159355915; 388002186; 199182605; 724492140; 42898601; 377948317; 839718206; 780466903; 551324929; 378592251; 510179683; 141872831; 696800866; 637044321; 138831305; 724838741; 50681291; 641321803; 668999329; 83888322; 730985912; 402647325; 343110130; 187938311; 645739752; 642275207; 551049599; 36141837; 32033551; 131636805; 342801278; 192051462; 204043333; 302454997; 468686439; 421545508; 221590818; 975016376; 700155211; 15183851; 847118995; 673173803; 282824164; 973115914; 443666189; 987340313; 533526077; 125472168; 694143633; 161173970; 426497860; 715045458; 875176998; 218430033; 326657225; 644865309; 23933391; 167071016; 398223623; 449389961; 725517176; 128904936; 241319892; 49696880; 605030102; 32042374; 124249240; 692645923; 853223384; 162263594; 940540236; 909835584; 945664999; 46034178; 446675554; 514360176; 261262499; 165505131; 995566070; 836768339; 203852759; 324415270; 310159539; 694458590; 154373895; 212255971; 336434345; 303908698; 399332118; 135701511; 701081927; 428262038; 416121134; 2218658; 603925156; 122414996; 872572839; 713113718; 187728101; 163765542; 753641172; 885075064; 927388705; 288985921; 848642816; 443951843; 729206188; 882945987; 652814722; 976909454; 923538500; 695773511; 718966519; 954757456; 446476119; 760573933; 970398455; 941429085; 410347056; 364893492; 447306283; 179404217; 864039695; 519300250; 451583160; 760150404; 252545589; 427959888; 903556055; 5060832; 758978429; 13078736; 894393961; 886413421; 624665766; 529331765; 145441798; 423309500; 5701368; 494734368; 381487959; 926821008; 166128837; 157119093; 650945805; 262320858; 720653639; 13919612; 193906056; 141383686; 812764885; 134504427; 153452702; 779744098; 803848399; 371249709; 468612421; 909276166; 764916539; 460693708; 435203406; 969071140; 18112654; 576341769; 611312664; 721846682; 684390252; 993611079; 166118612; 690657594; 622002333; 100754341; 990659253; 25186307; 838338647; 262217242; 874525662; 366571802; 82199410; 268389854; 701461894; 124803758; 619268577; 695615062; 973053757; 984550390; 300512020; 792906532; 725021225; 213221716; 865494131; 164528207; 626659692; 710289451; 412492345; 799777047; 845554355; 383097634; 460923821; 78219324; 816697679; 442330272; 468101124; 719353050; 446670631; 661555455; 17933926; 490089616; 935480244; 92820514; 467853163; 317070516; 562951588; 777125215; 601329505; 466104218; 333510011; 891970822; 175348915; 48044660; 904657631; 830131672; 616396728; 650764363; 652412519; 501147544; 484521989; 619607066; 874257758; 14142788; 258778420; 134421995; 684650543; 995525689; 675726598; 699149849; 562090912; 256886552; 993136461; 209995554; 187900142; 359667358; 469366773; 928610905; 776757799; 880269748; 358732575; 793762438; 672760617; 346914643; 249295820; 698077454; 315429962; 194822823; 270560; 32065196; 193479561; 732149753; 968817337; 761883097; 830753; 946073030; 730397015; 831964041; 354793996; 959087495; 236418845; 568660035; 76201685; 564918274; 386928675; 349150986; 116505627; 457554331; 692203413; 291365098; 22519046; 15472805; 223507623; 100146284; 300694563; 829247071; 672021530; 945078586; 234683603; 26442681; 57268515; 492648311; 267817732; 762499214; 307340057; 266286106; 22789079; 105564697; 628267543; 380802673; 840694527; 383421605; 789351305; 742661675; 63982133; 250232067; 677301124; 963376201; 629571313; 581368651; 540139265; 315352492; 995731916; 652243234; 85860182; 911952530; 617270275; 457447134; 971435619; 375843644; 666288526; 121460229; 600592140; 143952232; 898468791; 923614341; 901705394; 220682387; 25238581; 652077558; 893364186; 721335697; 832488786; 299929164; 7048817; 808122349; 493831213; 770353336; 609455737; 81316157; 47707244; 201351344; 389040217; 317102773; 681938890; 173342253; 34405110; 648830192; 981323980; 515698953; 6372545; 665048853; 617199746; 478730093; 355610841; 298273073; 741419122; 709908993; 571790679; 355661072; 924843415; 586160294; 53228001; 147647409; 494488994; 31549834; 550954735; 264318373; 536313245; 401322785; 508119563; 615122054; 214915475; 531666473; 566996142; 515377467; 916359065; 522304736; 787386686; 909564698; 228765854; 116695588; 478852948; 473005300; 481356062; 348717616; 984063960; 14317413; 286773810; 366615; 19707164; 688542535; 321262801; 591153012; 918875252; 223927970; 59190891; 746177690; 527915232; 96171570; 590439468; 936420473; 520674289; 131791792; 899601970; 395891923; 654404096; 789444026; 604373936; 543551305; 844121449; 921104358; 731741792; 17253410; 999882469; 450934822; 239207533; 674360674; 563015352; 841757334; 189041483; 953373394; 722807309; 652680376; 496732536; 784995206; 137132942; 407272146; 831711854; 310245725; 732028082; 166962027; 125070710; 561094953; 728309579; 907767201; 151323696; 638055342; 129840896; 503873311; 414105261; 84435840; 331336178; 84108599; 304682092; 139621389; 468742216; 450355345; 842946636; 79244312; 94293806; 825039370; 804822231; 621202289; 198367794; 883859363; 572222452; 842336546; 761156656; 652938617; 527694132; 224785750; 970398563; 938226703; 326090918; 741104246; 174270617; 14628012; 163615293; 258692877; 813007055; 236982895; 206444232; 125737839; 145214723; 148140948; 567708674; 559262431; 598938337; 176656210; 346089052; 38517754; 246935917; 996714514; 716373486; 373631941; 109296952; 277380732; 9867536; 573803764; 994084059; 996296344; 444276926; 808475779; 613073958; 650153119; 380426480; 674645832; 641407710; 599796556; 579061117; 618187912; 921512391; 978205515; 765527425; 450412050; 918965883; 683879666; 91092704; 2060337; 973165258; 260370625; 970268658; 607779034; 921604218; 354228084; 255790563; 600977888; 543505576; 162761113; 659621584; 862427805; 48395682; 659608724; 515051598; 321131197; 795616390; 412024338; 182602409; 113725272; 577317006; 806389805; 706419690; 768788117; 716617876; 555245957; 626962554; 609898936; 585042482; 572481961; 662775524; 26152675; 775583272; 284551047; 805608448; 46601761; 435877133; 642608809; 225014936; 947351526; 674191420; 94210197; 661630841; 501895977; 589819651; 56061857; 591920205; 306335498; 235720179; 187996397; 109076676; 212258037; 18806379; 704921619; 29065513; 312245014; 460852442; 113347196; 348777197; 296894075; 954047397; 166816684; 976451957; 786001657; 382433029; 103159197; 999300705; 600062232; 767324743; 852658857; 27955141; 946093509; 571307419; 478419613; 69422873; 32791318; 504900661; 631976273; 458459298; 556288675; 830436046; 409469613; 633680916; 694853189; 234377872; 831941578; 307692878; 93417879; 437991293; 738566875; 29071738; 967752955; 345228424; 799466808; 486908939; 247079283; 332321175; 359442027; 818467117; 782532663; 985861204; 950448050; 942953796; 870979853; 168593535; 873019271; 943022554; 843553954; 450166857; 387015546; 563474530; 753992524; 496994008; 973012857; 330964207; 216826113; 808514236; 160913572; 563985531; 484514245; 181387609; 126392208; 658680021; 220474408; 247048587; 404744375; 125869550; 794243357; 330379701; 789365091; 937270256; 488452043; 178860235; 112572671; 770123010; 689369859; 494579646; 934655351; 654444005; 299942220; 354339838; 864670265; 869616167; 288397811; 879076025; 958726295; 920247464; 438009021; 377635852; 457329646; 180891798; 551936712; 754547525; 38700280; 424439215; 64218147; 773993782; 122170188; 156293912; 112753837; 108442117; 191980910; 124773611; 322228571; 417582531; 148906922; 593528441; 504597850; 442460132; 321169789; 10186217; 498967481; 132185195; 869232253; 55220946; 343517944; 100150656; 874898699; 818718240; 492391063; 937478415; 797735750; 981531107; 360110763; 997496965; 164700734; 437422135; 435714044; 555713332; 423260531; 523466755; 296687039; 901003093; 585359029; 996656965; 963849710; 185492948; 151472620; 858181987; 230733479; 593391210; 686680786; 592667522; 125666884; 530561946; 378864710; 725252877; 557674108; 467491194; 630581906; 685866809; 971681825; 703236088; 38175141; 13354206; 879630360; 500469866; 662703637; 6505129; 160694368; 707358224; 476605899; 274298675; 42032014; 968437477; 427251980; 369246364; 97233556; 509739248; 281690967; 535537297; 137596508; 756828402; 785510168; 489688367; 290147236; 616328296; 261951265; 29550469; 17164306; 294223944; 421680359; 482058167; 248984997; 515860609; 749347651; 863347129; 524198958; 284379674; 270125988; 315262257; 30308059; 335552859; 348041033; 147266523; 370007756; 922331939; 359728108; 829072467; 700259779; 472753930; 647117325; 597886929; 631911847; 751884093; 211146129; 246130219; 280370701; 220406260; 23599735; 688389490; 54601535; 869184516; 123853969; 891353789; 729129868; 455114276; 331417358; 107235494; 616292797; 202567167; 722053683; 17026864; 921951687; 379550553; 652214052; 784716637; 865145873; 555924123; 99729399; 547450891; 141630236; 265366331; 913621332; 740596852; 802453918; 293227861; 777061220; 275644209; 53013662; 659243083; 370686554; 550178825; 674325902; 746585199; 891043801; 229634964; 718833785; 531554473; 562018886; 650003074; 389516143; 723981737; 306577384; 797138857; 843159529; 60495958; 276007533; 274747970; 934860618; 297264474; 148423922; 410503489; 409776418; 288385786; 735392563; 847514490; 561809620; 795834628; 858394720; 540503720; 801566515; 420477314; 58582833; 384586716; 722603957; 990693488; 181655902; 608918611; 628265379; 741717925; 275043332; 915487751; 750538532; 446629638; 311708560; 903285376; 499891289; 376591808; 395533892; 49006501; 600765095; 427077902; 741301863; 332126846; 7895827; 894881512; 614524168; 15353313; 912826176; 568593747; 42297770; 644000572; 391335302; 880313573; 790265985; 533221853; 388419280; 744998837; 376307201; 343379415; 563973690; 235881475; 160385904; 799045291; 583921334; 717081597; 267094819; 996746242; 748753038; 38913665; 904533540; 905791671; 679199170; 543778983; 614208087; 553788239; 905011652; 525286002; 19772510; 441615032; 894373481; 951361320; 897959878; 344113971; 623528071; 469835084; 446104348; 543630107; 884827011; 829092398; 822504001; 782524695; 661238212; 906555986; 695220599; 402525621; 605874754; 833459458; 858710397; 628579473; 62693522; 574975796; 663299575; 900923391; 424744909; 517809985; 972417857; 161187141; 42458426; 168473300; 842844706; 799715602; 70935144; 373215513; 277453353; 846343474; 75503954; 613618491; 34807420; 713323123; 149515617; 26598624; 840877756; 626474967; 125714371; 515929801; 202908734; 314326717; 465234945; 295602001; 431272976; 93391274; 424645419; 455274020; 739989340; 516717877; 787740422; 475999874; 382872511; 464735890; 926129047; 355207206; 369760677; 558002190; 262163298; 430086295; 203554272; 520983080; 306518520; 726329248; 99640741; 285492629; 349943304; 775752325; 992866188; 97207011; 57299242; 998598988; 635711271; 763416184; 44656149; 163390108; 797855174; 695305361; 560243809; 179157315; 900190017; 953845994; 744799255; 649814180; 858592642; 249476167; 960317777; 349253487; 853003288; 243172703; 70458743; 807023161; 275930756; 368443496; 373115789; 407970033; 913083795; 789317019; 286122178; 441322471; 326415897; 405486483; 203995852; 600903593; 77100505; 786147360; 459903034; 474584720; 249084960; 3804547; 647981135; 74503689; 892895756; 749760613; 595012395; 256318116; 499032197; 968098591; 770320295; 760007083; 26849484; 770409054; 788684182; 880440369; 280706893; 461016767; 564237910; 973392124; 385659270; 652583441; 633931532; 189626842; 35337614; 608785619; 860278743; 30178449; 160783387; 603302242; 263556644; 568107144; 376562178; 964303469; 843004581; 77276115; 41244275; 929694283; 768122525; 402469877; 100600554; 951630171; 749427392; 977723268; 961905471; 125181640; 683234812; 876978079; 319051103; 314216376; 765210395; 99409402; 977335358; 228643244; 334470828; 881027766; 973854217; 518503526; 56526401; 376315483; 332477269; 590949227; 953996370; 728062481; 84764756; 336207609; 802005322; 605535537; 209438327; 857802365; 929955439; 478441381; 543475903; 207241610; 175088292; 130028661; 207546687; 241634137; 68260727; 355639175; 638650472; 328898557; 519092642; 37286917; 979764824; 745882537; 587966150; 697758397; 137629763; 212066470; 817832666; 639717282; 6357857; 94212857; 660052466; 171796015; 669714215; 210660829; 2044437; 869069584; 478139369; 321066807; 880154338; 834061329; 759616479; 23548247; 5172068; 599614816; 869266597; 269394785; 173262487; 334417599; 977517366; 630838251; 5192410; 793264665; 195534386; 567101510; 425764506; 728736936; 305960951; 796725237; 113248809; 649262628; 658287778; 135328977; 322625805; 552922573; 615922778; 923744383; 778221586; 725033066; 521285726; 884105989; 161535762; 753093267; 10312256; 426179691; 394872112; 259252858; 132563719; 146785274; 538561016; 135912688; 166948319; 872183439; 377116162; 637038155; 722504267; 421955892; 54261878; 374690273; 721221665; 848806401; 542707589; 27636530; 439232121; 54998719; 762110098; 131228296; 74606423; 722656332; 394330531; 35968402; 756010928; 797987807; 937013339; 732045205; 627435054; 968848943; 262942701; 866797727; 231936715; 115142366; 485794677; 341469061; 926416479; 626966140; 372881042; 108259309; 820940027; 599236400; 518091081; 355753007; 669431518; 71225844; 448389289; 183560522; 112806999; 914329366; 114699008; 848940086; 761392156; 360583348; 303794666; 15735626; 913144113; 847340076; 643982419; 350417398; 614673409; 702316442; 633023007; 264069491; 488132171; 101981640; 614999199; 998504717; 697650534; 32951143; 815591968; 983040712; 487424124; 827379026; 974278602; 347211296; 241092780; 66276998; 635873871; 718247728; 838659880; 117371352; 150349874; 22729099; 999265435; 961592630; 141434750; 959745671; 913412261; 725444217; 725871614; 970988777; 357966697; 413996919; 933504419; 535578924; 702360068; 775608700; 798756577; 932210019; 631181645; 42123917; 580341945; 459090480; 545096447; 500471616; 742301239; 500676739; 918250701; 861937408; 8280869; 639926834; 656185952; 561163726; 736323876; 507277165; 651666706; 281074016; 437181713; 948189449; 629982350; 186579761; 182453591; 772837696; 21585112; 18662620; 85708314; 863213229; 942777407; 289582393; 275613653; 73153973; 199050554; 778575806; 100848257; 299267636; 138664184; 58380279; 156407473; 811008534; 738864498; 565535313; 847979462; 243990363; 462176763; 47470630; 714911269; 518052990; 739199340; 811462171; 892763361; 926994665; 830055654; 749458370; 384326141; 167063871; 486970881; 528990087; 582449234; 720493175; 69040626; 199769815; 376541564; 570737090; 709910928; 781655745; 129254432; 435152478; 879133647; 748862042; 292922549; 754049270; 374622468; 937140144; 641874572; 540582450; 106467705; 464423930; 144197909; 619269359; 272323162; 65440667; 630113736; 877130843; 100224033; 472705006; 574935651; 441585831; 673440368; 720406916; 86182358; 707790620; 973604957; 871929702; 687504409; 277667190; 248413966; 81196684; 20036225; 435832959; 235781349; 319143872; 712403026; 182482729; 178597127; 917657598; 798732108; 930724816; 675858490; 285556424; 16284690; 860555597; 266862304; 855365897; 519634996; 227539515; 79958251; 221064119; 548463771; 162313483; 789262911; 880028850; 829245666; 960773735; 85178354; 749243297; 954810539; 983111419; 885457784; 323032775; 380164502; 546223482; 405159918; 696325217; 922387410; 279357074; 67387491; 126580273; 240803894; 638710421; 59490484; 283585228; 838799954; 241862971; 994659720; 323502749; 699300057; 366918356; 494727339; 1024681; 388277619; 747484210; 83616577; 769593534; 907067909; 62760932; 543825333; 880901277; 563001392; 100460915; 414154226; 282745336; 565682060; 635321750; 118299597; 597759801; 19889596; 43042958; 252100829; 311404069; 372771824; 758661218; 485544760; 663996948; 362440128; 444026297; 136780373; 376442843; 687414262; 664594787; 680420599; 117875129; 392569481; 332488239; 757949615; 681925457; 905492653; 280609200; 344219740; 157434544; 391064327; 418611297; 15755941; 822219247; 549602928; 641015850; 693095160; 257923416; 907260118; 523343607; 658059729; 350444051; 845394114; 69644221; 919554829; 538461120; 784523405; 993460647; 643365807; 619933079; 904180143; 792262657; 763969016; 445235545; 172714017; 203987133; 835494425; 6943654; 418420601; 516283366; 286437902; 775230428; 429955581; 359414909; 604317007; 44971019; 203911818; 463184002; 681839771; 243684114; 927102705; 268090772; 882401972; 477165818; 162004921; 401340496; 937816774; 244556256; 27431235; 752251367; 240273721; 71801001; 622439643; 895958220; 547884921; 692117173; 655351950; 382446893; 713967805; 956142661; 12597096; 726864219; 152098110; 649297589; 477932358; 366418538; 364509162; 454629907; 638384414; 705524845; 265642660; 291184178; 384856795; 398303390; 597833102; 640466525; 231011273; 838529434; 35418702; 844765019; 72763678; 422894784; 903584718; 427507133; 347922855; 656495467; 766618509; 361805703; 475545353; 488531214; 599609589; 305472999; 297064377; 593161933; 733619287; 167749290; 656300912; 527812076; 729427239; 651175038; 856840668; 886077269; 596789076; 602186572; 353774743; 175596176; 32898709; 550250194; 163051871; 548082146; 975803247; 704015217; 763413709; 476166265; 361463272; 935941909; 782410867; 164197608; 415075040; 746644402; 912222943; 884033559; 335395033; 129817968; 883803328; 261814408; 181745608; 173942592; 794380828; 958514213; 472041161; 533027824; 610650000; 80838522; 107805476; 513203870; 197600551; 838247769; 214463082; 330068127; 178707351; 875667251; 676601934; 539638424; 405589312; 579013248; 336277012; 890338651; 334536953; 759052267; 241601832; 133324125; 84521621; 586378603; 245442140; 820529434; 589738323; 666336143; 659548438; 549182076; 702940427; 906532988; 877542615; 336775413; 139824534; 774367420; 743734441; 643112670; 378428506; 911484539; 257865298; 28523855; 90563137; 732487786; 812154152; 885681848; 277288064; 735080496; 819510677; 599552368; 565844761; 197516557; 964974571; 206761206; 254786802; 111656708; 688082166; 127106272; 520682500; 10998749; 922304211; 318772816; 891103200; 7250144; 316276777; 953357416; 731365014; 115373675; 888961496; 269780044; 62009377; 54525210; 423956543; 764845318; 377753156; 709944970; 757549368; 371389093; 112542248; 802309757; 354180689; 910308264; 898861658; 104164436; 332310998; 879768239; 148384358; 869276119; 476857480; 423609118; 323130891; 816150689; 48948387; 586158466; 627028051; 270823037; 64202148; 130775948; 951650694; 860515850; 63724305; 567198025; 952893157; 5652813; 816611892; 772709698; 99850417; 737131893; 482048764; 718108736; 488065568; 763943650; 442413271; 405528809; 903687726; 532356596; 286199778; 359784070; 169860390; 897382605; 703431116; 560576068; 474289376; 66383975; 391618092; 819853316; 962693745; 731148239; 700566784; 113234750; 600906768; 11152377; 151966172; 997445506; 878214815; 943385219; 430025849; 534811567; 640539163; 617098204; 518944618; 574755527; 762810663; 385058712; 901167239; 859972170; 446978605; 935839343; 951326371; 716241883; 763576893; 282408570; 734330358; 852471763; 131141618; 621043402; 775298012; 609688584; 45033053; 774534917; 708269490; 398003900; 856421876; 537959975; 856394681; 512548399; 254383052; 688604107; 848932266; 844529508; 770908770; 221347721; 547104787; 814451709; 424062741; 430361380; 322808354; 629665142; 495331185; 638295734; 473054492; 3759407; 893173367; 604273846; 544750922; 262007758; 678585628; 612576231; 855981471; 904367380; 432074886; 326565578; 146318194; 129786947; 977241798; 352057925; 243776739; 183196659; 87982829; 733597206; 386320971; 995770082; 815630532; 856413075; 479942212; 291367612; 172526851; 359013372; 288363442; 41506582; 208740122; 842104349; 847089179; 312925971; 884773571; 327643864; 232034733; 609119837; 276284523; 164823052; 895983932; 130289088; 727145030; 55119274; 402362369; 61689409; 514512153; 526171655; 236329542; 99150039; 308034637; 32575637; 123102176; 770539916; 780399635; 838864777; 827309366; 238902699; 932737103; 441688292; 275118677; 220889654; 12262326; 518057800; 384044823; 945771671; 504151470; 303785273; 542678951; 161018490; 432971574; 762193646; 562971521; 707460493; 163133188; 517197231; 974382823; 648389296; 726138962; 683280263; 828474126; 537440692; 182201047; 550027420; 398410329; 639210330; 998791579; 790501947; 162938885; 344814228; 248730821; 680270246; 209266398; 978135715; 628616202; 155861357; 63346321; 573211563; 991520229; 719240673; 854074538; 44543058; 19838979; 198338550; 608332081; 617909526; 521968666; 975122232; 405806427; 850595463; 676397369; 201244222; 740138564; 34425404; 251516993; 355289598; 75929233; 395319685; 238423626; 612112850; 968175998; 994268020; 545132249; 880453590; 897492165; 541999679; 863220635; 281629870; 673757460; 248446919; 416769731; 814507328; 576033008; 139385176; 364848634; 509828150; 954731831; 19765277; 814222992; 579854984; 901438171; 691516188; 671461595; 756926586; 906590703; 882675528; 349252897; 563938360; 746242133; 960739993; 951927094; 248613442; 547359002; 951771783; 381561694; 415192127; 637439611; 754588237; 394282302; 496255210; 5698622; 994933195; 907694035; 973594873; 132972243; 484428358; 341754567; 401969810; 389891654; 692401913; 398749165; 642201226; 788787815; 693469651; 213818224; 848703806; 669865526; 817002932; 620790802; 621178361; 79921241; 292246655; 531276409; 63851981; 831544678; 31724463; 769271241; 140019214; 114444306; 270719928; 888284663; 658139657; 84674633; 910290933; 184906694; 621144015; 375356783; 250200207; 903142899; 486742375; 815664840; 924860499; 249473133; 447126146; 402262263; 158494528; 951075723; 402369309; 935739360; 302252169; 264303032; 306264765; 713195216; 909511516; 51542163; 764134472; 658880907; 91794972; 428410328; 616090065; 410124957; 853888549; 434113112; 655926463; 660971813; 61671738; 997962962; 661765829; 406879449; 440719067; 886385138; 928355130; 671344844; 285424056; 802308116; 617030581; 528752009; 55390350; 918529354; 618733972; 326398092; 28284861; 547675417; 214074341; 432170719; 390952069; 351741090; 26296748; 2673052; 694014516; 939907871; 820004542; 377476295; 871721159; 109601510; 662308225; 97020374; 883996416; 32878892; 603636652; 864672861; 543631259; 854845307; 913986810; 467607544; 270468442; 307683874; 631017134; 476188572; 946463352; 36678345; 965360754; 979835110; 257071893; 307998109; 512251967; 7396003; 477526692; 719334699; 258741376; 297284301; 190384272; 442954713; 986939577; 433662670; 637571738; 235354050; 920397333; 940004735; 925164120; 525665397; 540082402; 619069831; 693072720; 269134391; 883068466; 375159674; 235250888; 474537248; 492380181; 64810575; 960200631; 555035412; 639077177; 902359660; 228427736; 861917607; 933816759; 246992974; 117868675; 953526831; 832727574; 176791330; 94166204; 774586698; 863252000; 808846802; 210002673; 447770042; 695469409; 911321593; 160602700; 327364465; 936455648; 159184321; 288475381; 962645859; 266574850; 655494890; 535703975; 144299369; 266023458; 789976809; 503890316; 680203671; 139364015; 191721686; 136303482; 167890963; 385733298; 396973093; 715545432; 283419581; 403820989; 449881610; 508224619; 75042411; 115470705; 453024555; 84064004; 20904844; 529457355; 963783020; 703886942; 124543796; 201389325; 508971003; 89681260; 686259307; 510661876; 55966729; 98563160; 245938590; 359653537; 340866589; 29932285; 425929960; 657145626; 925923682; 202314685; 40196349; 438556220; 329178285; 336514401; 80331344; 112037042; 591593770; 723325844; 150521601; 268748844; 941604590; 685319323; 730969331; 191662397; 747874072; 584712626; 592284998; 811073002; 309901800; 487784316; 495397557; 342549; 517391480; 678012624; 700053136; 633299300; 575102495; 753113048; 490321246; 864922955; 234006069; 206424571; 166370377; 764339191; 963833550; 328197093; 527726385; 297481306; 632912262; 844063002; 489659517; 233332323; 745716264; 120465693; 64599939; 565186717; 49558498; 573250773; 551152778; 974350265; 493266784; 531183327; 706993856; 814713783; 180823112; 535218055; 158783478; 550771994; 863674501; 295922182; 812045430; 707996573; 508054161; 566243350; 191383862; 653252955; 646602194; 949034611; 694323867; 417958632; 504639167; 842839832; 880120414; 97196651; 29172659; 572560814; 362298722; 649535528; 968085477; 490451093; 486885312; 181035975; 976337549; 547139982; 337117495; 503150031; 447207361; 936428878; 451994772; 582801903; 266214091; 635636018; 790944012; 345248270; 12741962; 214919800; 53820100; 41039801; 422758675; 763194779; 438899082; 464178890; 418685789; 692307465; 109754932; 928211947; 842319900; 457713325; 407058802; 650592661; 81577063; 904111687; 107733459; 316226209; 467642459; 700214466; 359875716; 526383549; 885657892; 739879786; 533693685; 225702804; 56684377; 335648978; 834115450; 675173390; 323355127; 213027756; 342213032; 317303413; 599508382; 490635002; 214571991; 343461440; 248270546; 93225317; 840541484; 310288733; 258696141; 282684485; 301374384; 536414270; 379543679; 424287452; 891365780; 693093025; 875567783; 287458839; 808369820; 518837599; 779129224; 43555002; 464957442; 483246176; 176236615; 116493180; 677096772; 645590529; 788249982; 276112575; 591886897; 354554060; 337452726; 594553656; 353544897; 93095187; 643456065; 448008944; 668074971; 16469741; 566566119; 325510620; 887961604; 513855572; 665116931; 183537138; 354347506; 422683566; 475405138; 810563012; 332120407; 113846153; 355063817; 322886194; 89633227; 476510004; 229552630; 37330339; 89840177; 778656572; 397002822; 94849392; 485367025; 694110556; 992617187; 12224487; 238333290; 992811266; 91532536; 483736226; 180596510; 739263100; 27173345; 408703627; 125911928; 861707658; 909933249; 640871073; 718649191; 982093080; 695650104; 364255963; 587972631; 614725630; 659113614; 581891460; 167484911; 292827660; 701153967; 318799084; 655692538; 52505362; 972450197; 298359317; 968899185; 495797557; 461394395; 655070372; 38019002; 186209351; 123226904; 569655959; 839698507; 426793526; 120001674; 848351916; 405821506; 480391566; 56108455; 903297189; 761871428; 620921666; 53086403; 961706806; 697013924; 802968544; 86403102; 872084265; 396286794; 575144149; 273949336; 193530295; 496525995; 874955996; 773897489; 675185385; 721082033; 895630773; 894417600; 220925803; 427868089; 64837301; 485192178; 793988748; 449254835; 358706485; 486580399; 424217172; 635706223; 4477775; 577906432; 555689671; 435079780; 436649269; 253352805; 57146299; 911139477; 256958133; 574888866; 525536903; 530507181; 669548584; 832034351; 451992574; 846941128; 494354805; 617309410; 878072023; 369302250; 673969187; 227944978; 698974770; 564197780; 451460533; 35891183; 357138925; 894039299; 687040721; 739011001; 109340960; 204171232; 24470041; 375461076; 97196682; 689623442; 444955514; 612766067; 795003545; 219236470; 207306131; 608629542; 711786568; 692172424; 450940279; 943399972; 733098474; 108305534; 638927472; 2853788; 629484912; 631183135; 881045895; 264521970; 476875628; 315664685; 927815305; 840244324; 820409515; 220111397; 452781068; 566725857; 9046532; 77053593; 417307747; 60528746; 47980282; 969094810; 734039453; 686588444; 712645152; 579084236; 301852231; 84284376; 992391295; 173936729; 358698817; 559465136; 563989175; 839834779; 249276436; 285357626; 552524333; 55245200; 594761723; 377939522; 853274016; 630083652; 279059869; 511031468; 714894163; 906414892; 203828130; 383852761; 254628245; 606424538; 729864405; 459009821; 394219795; 914954096; 777334307; 292424255; 635270225; 400426787; 912680940; 868550215; 975694236; 225345746; 770787257; 429666221; 414083488; 976120147; 461114148; 518664708; 83378344; 321100666; 752176027; 84185176; 417829537; 616685422; 142298837; 376507489; 231831349; 256389089; 750251114; 497344155; 99737296; 785409928; 445599030; 391378411; 463709831; 943547204; 350424060; 98078702; 648220229; 977739439; 410295980; 21905264; 270807761; 155101687; 486650107; 414508567; 682891156; 491444743; 450438301; 396565874; 469387518; 942364311; 135027469; 297085866; 426610199; 4997814; 387654759; 386297650; 868341221; 97460259; 924991977; 443923791; 475943090; 437277219; 835412428; 180220632; 602503582; 679935369; 737289131; 581301413; 893319970; 990060056; 528583181; 283520577; 227653409; 788528774; 914711846; 534984893; 305561072; 258743325; 208881225; 763111794; 837963897; 795400588; 912682564; 711440561; 579732930; 738611475; 158395684; 188367775; 339899200; 271377262; 292146360; 710453664; 427125480; 24925201; 923055269; 520910261; 297253032; 769302660; 27265467; 357231129; 307238005; 515072349; 458156592; 339329086; 867209461; 507438067; 286882719; 512847335; 584614770; 51757485; 803903573; 153341653; 795780297; 384747884; 366442700; 686951938; 624505316; 936611077; 285544303; 483214906; 600606463; 891373053; 958598456; 305785506; 773577830; 14563262; 111792130; 655999038; 451356757; 491839318; 592122939; 699094223; 333286970; 651477571; 681952502; 435889236; 570648901; 921546237; 430392845; 686303269; 881101750; 977404297; 107414835; 864528906; 775178265; 692808137; 6729171; 916698534; 323378979; 124995529; 47455253; 265320042; 647731329; 782944569; 415726785; 598981059; 952068364; 45645819; 300773919; 445493956; 311457993; 352758057; 648111110; 955593906; 722863280; 360562123; 39504466; 69827274; 628550576; 282895426; 753905090; 566140057; 331269055; 122772696; 756422518; 129123994; 242031048; 793216161; 80180942; 47557061; 879173845; 711187195; 208458674; 998156779; 560146678; 502187485; 636399733; 557657361; 430011865; 844270555; 119557967; 480599326; 754138367; 132542186; 561072095; 583659347; 356367004; 901689683; 235139568; 805532957; 369317902; 315674688; 539263987; 552598102; 727227132; 681758860; 268387118; 740922567; 29655649; 447875151; 523405226; 426879137; 629213569; 225404966; 973957145; 3131649; 424747468; 792110986; 776632439; 158725263; 632443299; 321052689; 172977442; 383928916; 597021478; 605674309; 842521879; 109270910; 237990125; 283103895; 51478354; 516567175; 675950121; 474644165; 110706931; 101161479; 814855041; 328136184; 953984427; 460678248; 821486824; 521578752; 20893078; 842445597; 233110662; 536073882; 6070899; 491169338; 541791987; 953268955; 403568703; 166272985; 995507144; 245669355; 131836584; 143237404; 914783361; 428490420; 359013388; 763076357; 934794404; 851894616; 400615478; 575199947; 252570298; 143840147; 998842679; 129003058; 802300757; 953665068; 490687576; 30981485; 400652107; 320686927; 206088528; 135699127; 535210934; 789090753; 192722360; 123819993; 745904578; 950065808; 216337554; 863177543; 287556830; 179610429; 339373019; 900506148; 575211468; 906496551; 469928213; 912749664; 274044086; 222048557; 933476943; 121795040; 892948567; 306476338; 542454291; 165673214; 292313701; 618990545; 518742811; 780617024; 475490939; 388777352; 29664402; 211933264; 113782837; 86598788; 956608325; 769782407; 742819970; 413804262; 258996019; 655892344; 50889250; 423199319; 885818710; 469473075; 57288920; 464987397; 220016741; 429883616; 895420125; 791719362; 336119839; 953363924; 324661290; 961383344; 29302452; 316003978; 14502851; 691389979; 552753299; 255318302; 742906325; 13188593; 239626465; 500563830; 154979491; 622228645; 88528475; 883732367; 102230432; 371225343; 437314221; 322777771; 310265925; 575705030; 425779276; 37407570; 320350349; 675592983; 120139100; 336073721; 967362227; 479389477; 373576464; 214528105; 684809621; 73117252; 401728246; 628585838; 429562946; 691400077; 239461651; 33079510; 416929522; 307990346; 148355062; 385836862; 21993270; 323707395; 54230867; 412596911; 372979886; 43546425; 436452551; 598217416; 824073001; 771656973; 165006636; 197586302; 667042834; 334057196; 54960185; 985573913; 352255773; 366381544; 828736491; 315964124; 731340225; 597816192; 54173456; 307242489; 981869607; 529477538; 333543779; 678681776; 431986446; 957594935; 274522642; 715105238; 28794427; 65138256; 690066824; 453782254; 136173311; 804749072; 454073130; 118473747; 46643202; 224010865; 500031641; 698378436; 895636803; 715504516; 862777219; 270643697; 592770910; 528177380; 766582830; 701729619; 968109788; 682287803; 853035954; 840258912; 144811203; 150456104; 882087137; 768645428; 514332188; 235985524; 216547968; 866450876; 613073758; 405670890; 642175890; 675622064; 112551797; 764218449; 773474216; 106901256; 688242996; 651886495; 163678301; 202741736; 104273190; 553399159; 239455240; 677757781; 836169968; 899580888; 534633893; 455484195; 984037262; 860915549; 776324347; 314179479; 729847769; 895319746; 388116565; 607396109; 706585658; 210933250; 721296475; 938988935; 675925150; 27411417; 400129426; 175543931; 565538225; 411349380; 729076358; 205395768; 970043045; 216538015; 874914611; 159232198; 637960750; 92343346; 6125275; 339556520; 867185775; 903669597; 240849465; 378518641; 716811641; 137140376; 500286929; 116509627; 102396404; 953789441; 478043492; 349468572; 827078719; 650132045; 548386065; 249657928; 784289350; 883176065; 875473866; 511087971; 992808904; 902602910; 348186688; 489586165; 122216078; 217022904; 146886775; 535364013; 71667259; 936965629; 708139634; 773297905; 633253408; 597442270; 425404862; 737423214; 384278300; 487473963; 899086993; 982531550; 592740256; 737262357; 781015909; 290271428; 828133234; 211626672; 534344250; 306805002; 202048988; 567932300; 516249494; 460312738; 757281124; 588771802; 251938826; 496167204; 618220052; 433565981; 340154910; 75232983; 758184412; 495618854; 369834492; 627827911; 376876642; 593123918; 474041096; 401725121; 275413500; 451563092; 902170997; 240339154; 616834680; 443588292; 799057588; 536191819; 34009148; 613775575; 746886681; 722240601; 37772184; 765972055; 663959844; 696896982; 61379729; 276675257; 88233785; 292402912; 257465946; 239862616; 440377402; 63715394; 52404902; 294408353; 215618341; 183054356; 106784806; 837400649; 419876786; 99286146; 142745404; 382490913; 139390062; 354892006; 70651506; 246121556; 737308093; 239813908; 711253785; 666311777; 560776350; 212928408; 866454660; 696044611; 2386397; 823465128; 406493874; 737551456; 616100517; 27470896; 348397400; 328766985; 184823742; 93775102; 821164234; 942485202; 811473457; 244526795; 385315166; 172633639; 676495075; 688818973; 388784085; 461061939; 938448529; 655258841; 174208457; 436332946; 657400240; 54981356; 404583854; 412748284; 663464818; 732871469; 736298901; 219193599; 46259103; 289557552; 344594570; 404578656; 647824033; 790049869; 463404340; 764765397; 674085352; 105217376; 855703786; 11855461; 923245036; 644644321; 410518287; 621845606; 340544974; 95062463; 52787153; 780594757; 712241366; 427619624; 893032986; 682149446; 503870964; 406004068; 294550100; 934346071; 296310678; 362825530; 802791621; 418533905; 178001762; 913224370; 922326605; 175378482; 262134665; 682530977; 207979752; 996973816; 472767408; 998976339; 16861024; 987024620; 673834692; 399439172; 596692085; 652521442; 949657179; 33973541; 251392289; 188212130; 667242453; 421549362; 382898279; 569733545; 727561473; 397487683; 762806463; 711435264; 753501845; 746076791; 69601812; 510257390; 514519719; 180051536; 317091452; 213608677; 319291496; 181898947; 459640392; 1260826; 570243308; 670106523; 610077765; 361557740; 493450938; 809397559; 207329482; 502743920; 329817438; 211796127; 864415077; 850825798; 575765688; 225054518; 57236854; 444015186; 318381382; 318163333; 22866781; 58976866; 165719121; 371582920; 748308460; 272761519; 399649738; 338158841; 31759462; 514974992; 682757308; 801164990; 31712403; 786330217; 882478234; 343215355; 847390703; 106478433; 696097831; 137781359; 215306131; 536035612; 70301654; 28418496; 98422251; 177477857; 763525829; 724399276; 524161107; 945439952; 718285180; 904590532; 367484346; 178862069; 210981193; 133272729; 782829828; 779975948; 214082941; 905906800; 196735092; 97629186; 401998992; 1309135; 384495691; 87164178; 381524951; 747908229; 258613503; 857775094; 511528684; 529155034; 3892900; 236892050; 442061365; 734521449; 78687372; 354125273; 526388541; 41692542; 984642719; 774581516; 494317064; 547350126; 19123710; 28668667; 919392617; 415768241; 795092014; 221859952; 318476194; 767763050; 383711792; 248053793; 767953111; 678776616; 444295899; 238604791; 426653852; 635305334; 786463072; 969406340; 892890754; 419254193; 142386276; 742571975; 788142112; 144421321; 512684191; 292666379; 301968560; 470532311; 278627357; 807983453; 475754364; 632766953; 647670689; 4491528; 656977701; 47496963; 255040743; 977271273; 111199846; 677455132; 442130607; 139437520; 424242510; 181046351; 728666858; 122133193; 910629415; 183141283; 279640298; 608172145; 841857944; 686973783; 88067233; 519167458; 910920633; 57897382; 140788536; 382010048; 853053477; 929943141; 80619984; 553643205; 383716227; 897167410; 92838210; 89523673; 858121327; 806189957; 581510164; 918692397; 727764920; 141192989; 103057354; 416615187; 181052914; 386754223; 117283255; 116744352; 107876835; 142217033; 841565775; 693752787; 551172192; 338495693; 185057378; 720011062; 693028111; 813814167; 581516104; 838672758; 664026559; 361226798; 836210323; 149544411; 634203948; 903143800; 701236869; 874021604; 652868437; 419964383; 450438185; 306189946; 465132877; 256845149; 185496894; 247655037; 648621801; 785943410; 110058370; 607686725; 302930475; 242951700; 648814829; 466775753; 172626561; 522230370; 823959636; 669065160; 776533785; 610247571; 155600806; 610874345; 874257109; 490741397; 819928806; 294609210; 339870442; 712324637; 305617798; 298968660; 781174243; 478103255; 948648115; 666365048; 179723839; 979665869; 256856553; 162606996; 48696894; 321788711; 432609218; 727176980; 675769685; 764931003; 943587527; 159659281; 6454602; 51230891; 535837892; 762613317; 66616438; 459459743; 147258921; 80120588; 971179724; 990614681; 933426694; 169378120; 940226552; 171662375; 49009516; 667032069; 141368688; 211686499; 32338413; 715784474; 299696283; 164933582; 93188307; 577469153; 103301458; 664955202; 51871111; 933823576; 119570170; 730086066; 157270753; 518089592; 228469577; 677154030; 865893788; 418393504; 879193400; 609921150; 775778897; 70396072; 213992875; 670280246; 932929790; 867339999; 503231391; 723483926; 165778155; 885655461; 356115307; 711207330; 587949339; 107402201; 909424595; 621838503; 997099283; 806773023; 289567862; 773249799; 909858779; 945189338; 559637767; 28583803; 783455910; 939817811; 762386439; 986390722; 733684702; 83043709; 877762503; 767189930; 511853626; 206911864; 443358833; 310138825; 456865381; 358404987; 245365537; 857941315; 572549750; 377633627; 603974410; 179880331; 795842328; 389034700; 470890310; 897879736; 867420234; 179354450; 500695422; 919361384; 99066697; 783558979; 295688465; 50731484; 958099435; 603766474; 142873585; 561093144; 10847208; 24423881; 467551725; 866590130; 697376306; 157560541; 419727876; 599885327; 733899739; 820557908; 260973644; 492330736; 859575691; 153551715; 672540411; 905551537; 616352711; 44419232; 659751428; 386978154; 187257512; 817121937; 781910388; 321646635; 285721287; 524715662; 40607574; 511738450; 212605281; 527291341; 753557294; 417986221; 684551848; 572470467; 629213296; 392737450; 912038352; 78662453; 59768261; 452888036; 71881063; 235813254; 532081040; 303672179; 527081417; 566635268; 746077098; 411337006; 663455731; 234637655; 779011486; 647559656; 736685740; 307997276; 449164027; 876323182; 631850864; 211076751; 153459373; 727685260; 307532588; 127690912; 617386044; 109688540; 537460267; 266102822; 533340937; 171820835; 490430214; 391764478; 415224691; 335340431; 671662228; 346779629; 574377111; 291803367; 453652095; 714827064; 492617163; 500061606; 304313558; 140499516; 577419863; 31043163; 206933980; 828573784; 91846181; 983826216; 584191473; 803202312; 322601827; 167424048; 2096042; 667603483; 142146891; 328858242; 930779362; 304680931; 646749882; 637496618; 311705001; 244842714; 166433418; 894084424; 802708097; 590216807; 529963479; 232937427; 146764839; 860838922; 510905658; 874995555; 777591464; 356987957; 544699671; 403058554; 749148375; 227495545; 637849595; 896792696; 34423927; 227535910; 634224327; 982475882; 936318119; 626781025; 869759675; 303679757; 439774921; 88618577; 657113042; 238500436; 458566512; 172026435; 179615605; 617215193; 817952791; 310221542; 701897958; 386945664; 582446504; 544587236; 865957872; 693523376; 923629577; 749660376; 516430742; 110952710; 644496080; 44033681; 524499247; 228851361; 564774126; 410492701; 227772752; 280532345; 466869511; 701791839; 732060456; 427291437; 907642905; 239593063; 890225918; 65181351; 44790496; 498194442; 350420866; 565654900; 849339592; 115159004; 717812548; 849377671; 252442328; 682376521; 382530524; 62265902; 349581205; 242212392; 240025836; 620622866; 13011704; 673341543; 817784290; 99075486; 642668028; 813621723; 61884683; 613222565; 79836216; 860177088; 146641573; 484890808; 999595687; 907801570; 288948229; 206156742; 617044769; 950855812; 467721976; 764845221; 559345475; 350859832; 110492303; 292925234; 916811388; 970394913; 362409869; 703445858; 682368394; 254501015; 523796438; 326124648; 139073736; 440772350; 819098536; 656758845; 59740017; 59847804; 586103165; 190070548; 202460049; 422646247; 249542629; 689077318; 176916304; 773005945; 503739032; 211756959; 728282725; 903439614; 607993261; 996750646; 772747365; 318535162; 492718728; 821535469; 617315545; 970611660; 703314809; 278777079; 297654956; 405565379; 625892970; 517268242; 689253698; 954378328; 15500598; 534655258; 725198877; 317564931; 879592133; 395446070; 971703996; 145360328; 197639188; 95623455; 837029629; 197663461; 855103374; 850479560; 793249129; 912762378; 364650022; 174891476; 601233451; 262147166; 744097767; 138596866; 464278862; 863368134; 763382991; 926945942; 287059201; 38515433; 156211935; 299091210; 155618237; 961465663; 86877695; 101401229; 684628237; 960689870; 555511931; 224811864; 235119294; 394484931; 424030543; 486238472; 776983866; 487879294; 755999894; 358292525; 651724387; 586863005; 974925485; 328509708; 445730880; 575704914; 458864055; 819880377; 621208158; 770241378; 225739453; 929544022; 856074862; 255756381; 236576569; 347205385; 939852378; 719992411; 750365886; 656326352; 523852223; 739762587; 854833590; 231386604; 190599098; 100946815; 647535549; 783710939; 822113161; 963658082; 686559963; 544274683; 379595556; 331318565; 298261636; 419844821; 632229373; 186353687; 61969555; 35700984; 709192372; 443645976; 212005854; 435666616; 71371467; 597090820; 599043761; 365701165; 76614725; 529624623; 875546428; 633204518; 463785493; 235100547; 913535437; 121157369; 326249435; 457378619; 392009333; 881405508; 512033222; 541573674; 411389172; 111033103; 568033648; 135546543; 753494875; 362346880; 631372537; 383990903; 245792664; 556673021; 922450312; 792117178; 790231865; 493114913; 31718604; 85651179; 268759748; 239648044; 593030616; 830298563; 244754426; 631109101; 397216063; 64896776; 48760959; 239550911; 643525498; 47292571; 930386446; 656640743; 354112885; 99828003; 507327249; 831865333; 635655477; 585960508; 869365432; 15849435; 90255234; 399888327; 568108342; 549770633; 883937874; 478770524; 876586561; 213237848; 334869304; 525773424; 255227041; 375049744; 671586028; 100362885; 185916136; 994476550; 339595626; 700899131; 859804284; 524343004; 822349663; 759213601; 756901794; 111607908; 180801163; 355165655; 750314930; 557828276; 797896272; 369808155; 799170337; 902912131; 507294577; 279242753; 217696097; 439048676; 210351560; 640993739; 108409280; 884751268; 259241787; 497082039; 847427574; 488622848; 799326223; 774746729; 286907382; 839194872; 893523556; 68558333; 268040503; 345398771; 661143812; 481983019; 397598357; 14851905; 355984460; 777245739; 921121591; 577985740; 974383236; 881441670; 152720249; 708083188; 309248100; 313666447; 440322367; 465889527; 775512782; 169075792; 876180540; 820320285; 865008556; 924929810; 772013783; 649715678; 751577405; 155944303; 811114353; 320459190; 859098203; 267342918; 507370346; 419189773; 613287463; 501035965; 505344582; 530308775; 742656727; 287777102; 666375511; 347382105; 23619795; 368373197; 993802733; 826018715; 65570875; 985727416; 179391926; 599350221; 661732144; 674899949; 255738289; 134326644; 28233386; 383140068; 763428948; 523436104; 290337172; 331859719; 242761924; 815327029; 990712420; 288536865; 735168877; 724562935; 643366053; 613424758; 109468700; 205273889; 145547491; 41237257; 856039006; 698145743; 644570717; 162276548; 199244642; 280736094; 967846460; 64058055; 682364453; 950919946; 20757921; 760790909; 113613254; 569449431; 76500970; 675782708; 869827284; 812687712; 732203422; 759129752; 880702106; 877050919; 719465408; 712559585; 962860767; 423196149; 176520506; 810830294; 49355261; 77433615; 410630304; 465037790; 847434130; 147591492; 560644303; 370395701; 16763986; 819517872; 817295352; 953311248; 43939517; 649277166; 702455863; 76761818; 878595367; 716395107; 573124123; 503493125; 550559855; 60181377; 857416448; 573166242; 918201524; 447325883; 442424120; 858040618; 824822617; 736709316; 378247792; 331247023; 249333895; 348961621; 682840569; 34126502; 315700532; 72856849; 652810624; 662695314; 947654119; 892420703; 402734321; 973481297; 262645085; 901670079; 541369833; 781524862; 26287986; 847488235; 198506932; 756542168; 370540646; 90866626; 483428311; 755044935; 108660534; 670581529; 926586535; 253461644; 619838354; 722221975; 809142114; 710226723; 47801838; 48921733; 90289542; 585359222; 320841126; 959678946; 939928422; 415260132; 337139462; 778884017; 224999621; 5828161; 900130472; 747171630; 794726081; 378447249; 294773686; 512867789; 9273730; 450387647; 763864885; 80587959; 667725713; 822014127; 427072318; 863768187; 993261796; 679157876; 558856011; 224816823; 243350180; 412828452; 455492471; 806431699; 462747535; 38591367; 587570040; 825428805; 465856749; 459827856; 727915347; 87354187; 809716835; 25101241; 544602493; 318224914; 185851343; 882216779; 695197120; 388711205; 75664101; 677307818; 717934588; 542040860; 694102242; 825588608; 610350976; 167892085; 534065796; 408024754; 658132654; 369180727; 990904808; 334322104; 393648665; 774536392; 365547423; 662911796; 373977922; 238428683; 547340419; 787522244; 381847907; 148828060; 239365182; 900599044; 577241780; 666355672; 643514845; 104932402; 965227386; 627858291; 635100599; 710388632; 247094330; 144999007; 496165340; 75509098; 393807454; 489425162; 492335193; 373906443; 849679382; 978272287; 82736088; 697330226; 533745636; 624676015; 268060357; 259953855; 438424658; 21794482; 33054202; 861855384; 746464529; 396787019; 277967004; 827301024; 468583961; 817621180; 304518586; 584453155; 337661710; 70782571; 995277741; 844042172; 749043641; 177584711; 275638128; 820097884; 263141088; 963282371; 223003411; 460135221; 530262740; 729843152; 277998800; 441076884; 434746678; 627754166; 31746587; 355810291; 272881078; 238088808; 434244785; 440114008; 474891191; 278651577; 632522426; 90966191; 567574506; 835345810; 634067863; 89013316; 841054204; 300284974; 12610450; 54347857; 335295604; 955177984; 60477382; 738094173; 8511592; 267861202; 568977949; 782555886; 813391362; 622612687; 34989910; 900373451; 930477132; 744325536; 27312717; 110180198; 452631930; 625506622; 884880932; 669532860; 991636922; 864843772; 865989710; 302575388; 819427561; 39471331; 171181881; 963774660; 958808352; 559166975; 809704743; 406297510; 48113105; 10709460; 37010998; 808202679; 372122308; 18479159; 47009610; 414332774; 51326073; 484734100; 416589416; 805591882; 692526210; 813031245; 789646275; 892042591; 938671398; 732169101; 465388741; 543745275; 65133168; 62591848; 887854502; 965040958; 213207638; 659192885; 815769308; 643823515; 889420891; 138071985; 941365128; 176788381; 946379950; 16047902; 646476826; 379397383; 170442602; 771977719; 815374649; 323978153; 486775828; 760120380; 969888376; 771351304; 200034070; 975946002; 414607430; 696603478; 736815330; 631270672; 491285422; 672845324; 690727359; 575962458; 841257354; 938029154; 502302573; 47232312; 849863841; 97838212; 503280957; 836163247; 336434150; 670244886; 231896633; 930160990; 811628524; 455847351; 298023294; 310603334; 396591345; 114964124; 433665735; 191230677; 734323251; 825390858; 842163168; 635309758; 210995664; 171587067; 687015715; 111284748; 145450521; 395142051; 621308774; 934282032; 394444932; 947714979; 566851314; 331922541; 192902103; 35791284; 942480562; 722420988; 189556766; 132076627; 460104497; 774001110; 798699792; 346116223; 500916115; 475288466; 911097845; 406483956; 398658213; 940532410; 369806543; 607122474; 863056409; 776579987; 668633247; 173951958; 746416023; 852179098; 884037426; 41365597; 875984112; 981283089; 394440043; 110774421; 653138996; 915960716; 171668305; 29963977; 778895672; 869732510; 83802934; 457788176; 943793413; 278652132; 22547710; 632846888; 327104047; 61550435; 240639486; 809010043; 515833625; 219418196; 230817224; 661068976; 837693310; 105593796; 682402239; 252588509; 606700140; 450173431; 468254417; 478214465; 161762799; 333110613; 876218307; 640643801; 968597920; 492197706; 735661350; 960366346; 613691437; 228251188; 831508878; 117916025; 93533982; 890022696; 248091678; 488794655; 240425219; 229377606; 787858458; 337893355; 579380439; 135783476; 124602981; 378632906; 554130256; 306768669; 53783203; 248977175; 25765309; 273199936; 769878755; 381228679; 82585866; 13617401; 48870250; 623873106; 172152084; 794071683; 906878694; 596748018; 340145711; 51965141; 748805967; 29156173; 156147080; 466790759; 326076328; 750454984; 628749592; 805109512; 128600432; 87966224; 556839365; 714403006; 476090948; 325629474; 874923740; 754402904; 330451074; 840238478; 230906879; 121475924; 22965396; 318075684; 139188312; 134264620; 962145037; 810889333; 999664717; 495080238; 380901160; 14873888; 844091738; 12862184; 176619219; 358981385; 202898398; 314402497; 280053892; 918573112; 937847769; 146223422; 905932530; 254275309; 465507241; 583122162; 412243882; 535897676; 979382090; 188178283; 546805327; 980214939; 677814102; 805712305; 251127143; 873380065; 425051550; 929577324; 449732242; 414215658; 115044560; 209876386; 983409653; 157379717; 415835435; 182908938; 419398139; 171712634; 639996498; 779694343; 413640533; 719274956; 435572318; 916374460; 592004688; 746016066; 985593665; 183631920; 459183159; 684687028; 865211783; 363600925; 341962094; 437916009; 295570993; 926107576; 702417742; 332416185; 853882631; 696826478; 635460395; 919071685; 288646534; 579354045; 493160563; 703312815; 563978530; 362378436; 455059566; 302123239; 551908220; 581667454; 121575625; 677534337; 369133681; 97595996; 768201903; 400981769; 932529968; 677293794; 992633022; 650370266; 265148569; 859426669; 839354843; 307627803; 383460864; 195024268; 75746305; 788604383; 434760907; 209011696; 154469806; 288755805; 429675873; 590961118; 976458141; 517323041; 992718700; 252229161; 480217481; 22125964; 328789567; 611381297; 511464002; 450070164; 102743149; 84752319; 102244397; 909310761; 70008260; 726386628; 8930065; 809871151; 415585470; 934913727; 191958874; 323248104; 250978464; 828021491; 955543966; 806336125; 782671787; 814955936; 224400113; 740951951; 893960378; 963295724; 478265924; 187061102; 640161733; 516404532; 541058852; 107848943; 88114010; 903817202; 776233101; 99840255; 15608283; 823116246; 727334144; 776890412; 414235309; 284441588; 827200010; 8132541; 1889149; 313667458; 663189209; 731617268; 868620554; 553235324; 278789546; 104092994; 189171485; 992326918; 295901567; 979438423; 575050379; 253063158; 815363083; 123344178; 594457935; 914614830; 628643890; 968033151; 429977686; 575629983; 237016481; 420699111; 90897153; 989112663; 622833562; 497179019; 643348292; 802549704; 453581788; 189754165; 349378299; 571022588; 367795146; 599289419; 686045601; 580445975; 231810700; 67499522; 595151602; 833188096; 849750938; 298555496; 215346700; 761609014; 823593509; 705517136; 323903516; 527240214; 535306500; 580828105; 531704427; 168741436; 850727776; 331341569; 585529251; 170366334; 86885736; 673818317; 168381788; 652711355; 204457981; 520665726; 270132391; 766426995; 971752155; 507965075; 298505121; 690588185; 44893863; 932180021; 653891284; 369714035; 572055565; 345046505; 813294993; 788544867; 620600064; 733164805; 139100851; 966658376; 293486511; 525889037; 935850133; 299837452; 133328064; 38129194; 478473373; 35718017; 948656518; 650546962; 510618201; 440715660; 884081662; 315634878; 460559751; 366779061; 704891858; 794507884; 309268955; 509785984; 839508331; 348283666; 293135542; 604514839; 817973677; 714137296; 960947804; 46896418; 22815135; 614007247; 295215873; 6553938; 517592421; 542961791; 317706935; 845829861; 619555212; 464621881; 402428848; 69976301; 202046623; 564333294; 332875760; 14349164; 908217652; 114482922; 50644432; 218468915; 791072235; 448936181; 584102390; 174907776; 436932146; 194480567; 917050378; 134572969; 367556337; 244807059; 909384604; 368422838; 841274505; 702549276; 761429137; 215890965; 411155465; 721025600; 735862980; 770999425; 754033919; 870893538; 556338620; 278482083; 752619169; 444164650; 854908003; 598160708; 667743708; 729061515; 989516901; 825014768; 921826819; 799516822; 812762698; 214852986; 620461900; 869971667; 662550409; 577601286; 336553383; 839485361; 617432516; 827842993; 633417342; 354043727; 670684396; 63399594; 661221843; 175229187; 83227990; 650533811; 295058707; 796178499; 154628718; 873940848; 889669929; 772156321; 897849045; 31072958; 878202628; 350649092; 27219624; 181442155; 848564823; 489020160; 218236804; 883255437; 800860271; 525491312; 599127262; 902281259; 405505168; 42440692; 340349524; 601324565; 395325789; 68807301; 229902452; 872821805; 341466201; 16782445; 49039866; 960849375; 62863235; 591622128; 795029532; 739343348; 63929144; 276857275; 997366843; 83691421; 88778132; 941994078; 361866967; 423881130; 237844290; 678136033; 957956017; 611920934; 918376654; 904777732; 20643010; 701319938; 242547366; 614777907; 559886872; 381989125; 683007201; 54931969; 993550747; 625221727; 812857531; 83404540; 706248888; 760983237; 974612160; 500892444; 723762396; 393866907; 337348882; 955323514; 999887525; 140610140; 420939709; 801493926; 136797408; 547288414; 734862798; 985868293; 886074080; 86804592; 410548738; 792420786; 114031742; 719713081; 757688703; 475701821; 368000951; 581600583; 76427658; 955542578; 505260987; 572679556; 1880081; 955556056; 625376097; 357894472; 100083258; 361606809; 281049806; 385207071; 473386094; 485047466; 155065676; 458386627; 295315776; 230675754; 949889955; 76786339; 714091557; 851411350; 157778460; 246714929; 190238933; 705872446; 678418043; 875475253; 948466698; 841658047; 993921990; 143555326; 389150691; 332877812; 18852856; 412433860; 967299083; 44750778; 441158818; 682124971; 323863273; 411541626; 597871306; 149789263; 56592961; 457347271; 361838030; 597095221; 911072886; 943395909; 595285032; 15750916; 208770221; 379118132; 137618471; 326374187; 997899394; 247680269; 269959485; 787599564; 562933582; 959437074; 570072262; 716316951; 582905787; 260564454; 356738771; 233006062; 443432538; 555501732; 316270890; 458239566; 703141615; 352860678; 531494454; 694035889; 688264144; 707904865; 971067318; 506658965; 140225879; 563967039; 382010243; 27977662; 42080293; 46642449; 143270409; 494175467; 93526500; 662947735; 912026465; 807241989; 347369665; 642981916; 989785125; 652421633; 775846074; 865164585; 500349694; 104237840; 91353990; 36012196; 147126290; 65277588; 655913818; 350265093; 311685281; 585786496; 414146170; 963762506; 686782687; 870675617; 774684683; 217113329; 668055898; 567630772; 917569731; 93711244; 640135174; 978819037; 408094212; 426149422; 967013731; 740091464; 269010180; 938934236; 800711052; 315738085; 895349402; 575618809; 202123651; 810145307; 312032375; 613818651; 343931181; 399766007; 956253314; 187301877; 784577875; 570297697; 294458739; 188845270; 645898151; 741508067; 994600469; 21782098; 580005946; 980804918; 643865319; 801837394; 564809058; 81157706; 585254458; 459675257; 223000974; 742580424; 765034978; 744955354; 951826943; 749408749; 813941756; 191975918; 488962071; 8575810; 567578883; 678698983; 147537963; 145693312; 71319377; 100585756; 126139422; 150491861; 868090359; 281864217; 746107900; 704423641; 650130288; 721724918; 498108211; 259540353; 528022336; 22497318; 37906951; 778244897; 303663049; 898906997; 249538581; 563920856; 121627774; 476030136; 50148918; 618722700; 574042139; 389349113; 71006430; 116703301; 568998388; 884217382; 278715399; 932335224; 275233138; 852181515; 583431310; 602060669; 166493373; 277012698; 805021754; 721232478; 555316115; 813125580; 402050049; 217839946; 906029111; 415074046; 446585827; 586970903; 573219164; 661332828; 66525060; 687233014; 932110565; 438159; 572057460; 157768071; 715950248; 507845526; 627453463; 883032957; 504393184; 197050393; 891718758; 194165892; 432186948; 733280707; 404068614; 1709172; 860764399; 5148366; 724848856; 734607491; 677215036; 322677671; 143301455; 90068959; 641733304; 807403052; 398857762; 624219676; 796029024; 208134324; 582333135; 590090010; 896222722; 994323405; 275101997; 868055698; 199216492; 152714980; 944940648; 752500951; 176024901; 261127988; 361100049; 176721081; 344531376; 72866967; 59296316; 988325511; 91347430; 433535541; 869624796; 497005482; 62165488; 213090133; 127742951; 527632049; 50538673; 910700888; 649340341; 945618343; 525949178; 919305152; 551879330; 492339898; 368291375; 113453513; 629845817; 258737092; 72015780; 813048674; 384847827; 23396161; 985045371; 846730716; 377279147; 262696200; 290861828; 602716889; 604686755; 736329737; 717607998; 973522918; 281881968; 716734203; 105866459; 839198353; 81672533; 570282821; 805430656; 325037959; 14187227; 636356941; 939909676; 295049569; 438595025; 199027317; 126128725; 510159863; 312386971; 257783723; 33732381; 805850386; 573626254; 203776569; 909440655; 973242220; 870969879; 280282376; 576880465; 376119086; 607126586; 54262542; 785085271; 671710792; 308168229; 699380014; 626675748; 996569460; 893021990; 973709731; 493491601; 159451285; 162121314; 143065036; 464106217; 259770187; 959788837; 679426080; 788593101; 521865319; 462017685; 639349137; 644025213; 10841013; 925722184; 395650458; 107482552; 205016125; 973498906; 781451695; 165640182; 324843967; 924438777; 183684052; 587627572; 246648644; 576881121; 79248821; 192340389; 779505505; 737282734; 960934187; 181418593; 832800321; 391633124; 596178494; 309331068; 246865783; 932125576; 927623955; 667262585; 1935841; 456825319; 192409714; 110998672; 245940518; 443528644; 681480540; 598964852; 370996190; 272786700; 58925569; 688634194; 812216049; 532014023; 942529502; 240922132; 137107567; 173879911; 690740091; 145897827; 987647783; 435726355; 132149188; 804474410; 419656634; 898808858; 320209035; 821279425; 240594847; 444091537; 159295033; 350917217; 723692159; 918636128; 690419236; 353652549; 519620739; 807114831; 757392663; 196080064; 544606576; 126515777; 465990018; 304474011; 388560024; 553316265; 78027007; 459795656; 252604593; 569992563; 465238944; 853333860; 193158107; 212910653; 885692515; 504832220; 106743877; 889581021; 364480740; 3996190; 458682497; 376144421; 807686633; 469566097; 632641717; 590175602; 324135810; 121245160; 918570161; 229411798; 577782715; 983851497; 755405130; 630252776; 12762252; 390752330; 168384363; 812946448; 558129043; 622407966; 148773249; 69918728; 524456702; 146833132; 819322093; 170734357; 311386339; 390524893; 678097498; 859895242; 149416892; 36353569; 398487397; 636028455; 461815336; 784322596; 613049692; 727065957; 62155657; 871366035; 580729855; 221007468; 376468400; 828508807; 30924235; 251558176; 731288469; 694781288; 73575474; 193301905; 598982886; 565993529; 318918372; 486052832; 135326268; 633413403; 814663261; 230272333; 920355688; 460187934; 185961359; 321577692; 21440156; 111500140; 37925321; 781545171; 576631925; 109973668; 536320995; 22991234; 777735744; 503260722; 362489484; 129486993; 438981907; 493588937; 628752524; 243774361; 62233331; 957934411; 178400013; 997910131; 924233089; 6483827; 387132442; 706170500; 296965348; 941686106; 774729626; 505767628; 672896118; 537684855; 512534858; 258578604; 538505609; 906187124; 218675954; 575185832; 756832772; 671679194; 285244713; 416762208; 742588745; 707485219; 410995085; 16294995; 639014325; 709768977; 987952736; 30573038; 691502938; 232605205; 648337369; 128192503; 929754459; 74437226; 316256119; 252282840; 659007314; 752308051; 941171282; 253174528; 464557180; 274505891; 345749670; 290786504; 651057404; 651129293; 84456330; 606604760; 44245741; 83004648; 149714901; 212252324; 23778305; 431830116; 91657540; 946206470; 954467713; 873042990; 715112730; 759646576; 841550970; 809286308; 228681604; 275804629; 478733442; 735192797; 657912376; 319694632; 225719301; 792653703; 638504206; 14297761; 793634122; 999856267; 7295995; 806441945; 752093076; 336579929; 688390144; 418641422; 722039112; 801301997; 971963094; 414506591; 521653166; 184661365; 154274462; 143616134; 116437389; 649754795; 355110959; 2336542; 512729787; 530223661; 536755995; 773648073; 463228243; 626516806; 717320137; 787020568; 389407301; 444480506; 814241993; 987824013; 854698579; 760319849; 831379428; 515023388; 426910952; 277410256; 386639791; 61762587; 861858869; 980406759; 807273305; 694295377; 744678716; 636884098; 684485816; 578253501; 161734734; 237612955; 256495268; 310007263; 762669279; 31158012; 974624785; 20335412; 526839655; 73937357; 177108889; 287756333; 793705499; 597664209; 691673205; 197594617; 462833046; 320413248; 340360621; 230961078; 464616329; 766510947; 769414221; 569201388; 736161203; 900139588; 958139010; 888177993; 525240454; 229181186; 592276588; 363943864; 316162159; 683931078; 346002519; 370905085; 199950519; 944452918; 786885740; 415684506; 145763796; 191112048; 676409251; 337693099; 283690484; 16860168; 608170365; 985843515; 485053591; 148815573; 644965945; 512367112; 620707801; 593330275; 146627513; 134444288; 686678858; 62044510; 666205908; 958236429; 41813797; 492003065; 424357713; 906671434; 746858007; 55437609; 445560292; 709702398; 74662063; 191868486; 889088930; 545752488; 506046187; 669999823; 202678655; 57770031; 730789328; 723877858; 237151232; 537466581; 14890076; 913492945; 526567672; 978781191; 28731026; 256739534; 832077002; 706988456; 654643834; 124196213; 617960730; 783859637; 925202917; 259631387; 866529567; 736091111; 185807404; 485144014; 58240898; 521997172; 96345976; 875687815; 452905811; 692339728; 1771392; 306519447; 273341419; 874438585; 471810764; 537304038; 266473462; 585984650; 613506419; 512757869; 241809614; 421696409; 324906227; 587524199; 141781920; 160374296; 160160619; 308425831; 26382883; 602287959; 235907456; 868698634; 127562550; 168180296; 390659128; 155719244; 225084612; 543438055; 767575402; 604074972; 216167916; 942169591; 174410045; 61258936; 687834747; 303028272; 671719175; 281520829; 535122722; 418069513; 467795411; 836074608; 932508796; 614831178; 638773558; 895154567; 298796357; 622102451; 88026062; 64351753; 571786206; 368723945; 749972366; 804193204; 33913062; 513492667; 653923765; 793019029; 680271540; 84130108; 187814673; 345529235; 486224776; 68731105; 534140844; 93253577; 350076926; 837609825; 594168797; 355100458; 330673214; 568533015; 297150888; 908244979; 285042117; 848918537; 190453671; 350886286; 136752253; 727367905; 848029823; 634862148; 892317080; 464019027; 500164973; 834681333; 732794144; 763293064; 722790909; 59178612; 165797595; 408452116; 130127591; 200712973; 642207046; 872838913; 494083354; 776866346; 181431839; 617175622; 400063647; 968376480; 509540086; 83677139; 458022179; 484906370; 653969303; 914071878; 133779426; 908347670; 157763730; 336848052; 118493809; 769251885; 712149232; 730857150; 390060997; 414844005; 897182622; 509721337; 378800592; 500861772; 438177011; 46143200; 925185854; 649832118; 248885133; 159952500; 737986818; 594191365; 505426825; 898318960; 536327995; 789402176; 581792550; 332124362; 613778045; 266511109; 412227397; 601296740; 589656655; 219824325; 240955817; 991811079; 566556091; 448157401; 254373426; 959457873; 524632311; 325831673; 346989868; 488127763; 976362851; 441426880; 373684292; 517657835; 697642739; 376149252; 664769264; 213623883; 883137710; 552871739; 586310270; 565728301; 805888194; 538524453; 888855094; 788923625; 250342251; 15554433; 465127779; 871284977; 480705394; 842158178; 671177222; 516751731; 373904364; 311402506; 780863322; 458951854; 971987421; 453400163; 146258295; 254512205; 370801995; 755632722; 755268142; 774311182; 566118035; 519831301; 822280599; 75265589; 845306049; 255676800; 556185937; 612223842; 588132955; 690155632; 150153575; 27365200; 315501983; 725494863; 59688761; 600731531; 692738880; 802134567; 391695295; 172204672; 475920284; 827798885; 409626969; 715158804; 149377727; 331701974; 597707005; 5247636; 702756760; 519366914; 668375974; 182611525; 948871606; 976018906; 967624984; 689576711; 457036964; 89951903; 823169773; 132151349; 743808207; 191836130; 532602795; 90224748; 599485015; 124676649; 278875244; 599353127; 870196732; 908953516; 202409704; 312286198; 420904776; 359559687; 205815286; 444560053; 549239063; 147397210; 17841422; 218889978; 842416015; 497001114; 723684238; 95982422; 8354017; 514857908; 636479688; 612469165; 692897717; 365339805; 360766864; 267620755; 734619844; 735559411; 410579136; 249729923; 175592664; 889901648; 472999620; 851916723; 721417037; 389429806; 54701227; 829194423; 742634766; 612228605; 298022503; 634934126; 582026413; 234059157; 49143156; 454945832; 382010785; 429387857; 230909354; 655987640; 327249246; 540871731; 985921911; 253140794; 920993632; 613281847; 576507344; 352689696; 160461992; 889968354; 487757697; 612247143; 390425795; 641629984; 600053079; 673930306; 410703647; 788728718; 524537597; 247649967; 707337496; 174862991; 263042568; 877392734; 921069759; 529346212; 798915350; 905481733; 332237332; 41367280; 734154323; 788562583; 416605508; 589307751; 661464935; 890557166; 4511581; 182285219; 411477560; 464238404; 375885763; 710261732; 438379274; 213379163; 840697802; 298464897; 583244265; 856923728; 607586512; 203371691; 63326311; 314013626; 868707774; 952768120; 381495488; 227485859; 753066815; 877136745; 24527367; 310793455; 156643423; 81496687; 771116326; 492208002; 513928635; 364780306; 798371846; 366701245; 539502986; 324952141; 194318502; 810024194; 394688006; 862002165; 791724752; 488094998; 4829209; 887703245; 134001726; 213105485; 304472952; 365448652; 821397809; 243153278; 890320934; 719790091; 295124973; 348698912; 97616234; 830926388; 870288045; 601695075; 944298204; 2838524; 58908133; 306986918; 996958935; 265965394; 835917535; 87053197; 360689714; 873550770; 98244563; 981073979; 701178289; 775269899; 461170862; 776601819; 836875644; 84501465; 719309232; 332997101; 611187862; 137713876; 206373938; 850807769; 178821812; 264356103; 98756345; 131557329; 433256711; 312645399; 80722125; 279563077; 576283301; 618776306; 648932114; 183614756; 571400002; 322743438; 402602329; 502626556; 86139102; 16161485; 133570512; 855547929; 631143158; 725692022; 212656733; 739997988; 875671298; 961845591; 906236791; 97475956; 519962358; 221492850; 39077844; 119927089; 484980968; 880102060; 526694905; 127415747; 897990930; 501479682; 27108898; 207915205; 282188993; 846864650; 445028351; 377473055; 891656144; 468587632; 817853499; 964649186; 83106895; 610305391; 71153501; 922296616; 631101094; 651190324; 190683674; 995320864; 739628743; 705201714; 379940709; 92103366; 360756610; 417820404; 516340298; 812084621; 450320941; 958094100; 426293261; 989640267; 518635420; 344699896; 217447693; 364745159; 823806256; 514192650; 599952515; 179181541; 839878930; 189673100; 10138778; 464349919; 238118280; 544098974; 161076383; 608530744; 988766717; 787230487; 187568018; 788824346; 592357387; 870697567; 326890649; 203257174; 840256502; 420949778; 65366324; 18726784; 538326910; 127679756; 121538426; 676906267; 152545856; 730434149; 673412366; 229439742; 340784897; 836369040; 444345334; 414677870; 561864495; 750548128; 45609383; 41785322; 937259288; 844234060; 55150590; 334392896; 730783083; 295413139; 102335884; 207855526; 264925758; 649663928; 479669231; 518615215; 176023566; 402360127; 548716438; 419252197; 127926036; 725260335; 860197855; 382857026; 19639238; 875856319; 930779118; 556414216; 294932608; 767699470; 715449833; 947883629; 779601017; 980240690; 655549797; 204653543; 584282038; 100641757; 173763809; 715456322; 397364756; 184826948; 285014919; 193382889; 857400879; 403905887; 652621619; 933204725; 497984193; 375444510; 773673722; 571061782; 639583485; 81699934; 95135494; 535660654; 867799407; 899579264; 277731882; 891329600; 932191948; 78492934; 845151810; 155779450; 196877912; 724512259; 832356582; 738508195; 277214997; 64245370; 183583929; 33876711; 587429397; 821827741; 459688744; 536406323; 281989382; 26579463; 902706730; 767072482; 163220933; 366291606; 77350376; 371376936; 684407032; 92393654; 882910882; 959733119; 964108314; 129151454; 120526849; 864344647; 597559025; 2325089; 528440978; 405090366; 698506819; 508913741; 880615144; 560685357; 447772076; 841567562; 528725059; 865560795; 359553110; 56021873; 225357088; 140291257; 66847947; 582490779; 63002829; 271735944; 514623948; 519994549; 894584907; 231692245; 518207131; 889452865; 148612524; 856397488; 556795537; 973110387; 270452570; 27763201; 918759212; 485407663; 537493362; 920441521; 927490951; 371545223; 840692055; 492771006; 803319982; 161983317; 571360634; 673468603; 736500827; 19252079; 99448104; 855213456; 684564928; 208908833; 169054256; 309713554; 936524882; 936306717; 173402544; 802764769; 684710843; 55940702; 990981232; 14743186; 23804486; 499858268; 57658474; 333827928; 557042438; 957177321; 765709101; 64625784; 847048000; 816237086; 302287655; 885824095; 896512056; 323788104; 36801912; 365999286; 745809261; 295286055; 371469877; 655138859; 181136929; 410408326; 754072177; 892759739; 9258495; 507025679; 729219919; 238162985; 974515700; 636349799; 36516011; 35342115; 500263894; 461161449; 139617791; 998678857; 337309190; 337207014; 8936616; 251149063; 442499058; 441474055; 85232778; 820300485; 729749047; 94376453; 125392103; 425927842; 93901954; 176269209; 415651264; 250430247; 122995152; 327453157; 252353904; 717465821; 627284531; 878329112; 83803592; 94168037; 938606031; 353051810; 543473928; 725664113; 205119137; 461206966; 456061460; 375712170; 670920333; 403768884; 608547114; 467454605; 113911885; 647829358; 69553203; 399929076; 977306098; 879676986; 29663927; 880786007; 713338776; 129252590; 2343793; 138156540; 521683851; 489163101; 894693981; 535880491; 429176001; 864551759; 559788534; 256521528; 972789700; 981526272; 667176545; 499093633; 130483252; 610365345; 666603083; 884360963; 673800212; 653891098; 435858848; 214693735; 249857604; 41880834; 854961773; 425792374; 263744462; 69883056; 864997978; 235915575; 874596987; 549091674; 73304342; 480723689; 934868056; 700955024; 842975461; 656222499; 489448846; 651538463; 610823701; 111129487; 930800426; 690327670; 471745287; 787206015; 171428460; 276035870; 823029622; 309923914; 910562892; 214198661; 194327125; 395743316; 294379922; 520906223; 41032589; 98218936; 183741072; 692202828; 404112154; 361639487; 919320628; 402439405; 440721501; 903573892; 998817898; 931605854; 583214122; 235966550; 703982598; 692249827; 451466118; 19361831; 423975098; 244150373; 898341039; 225080841; 443372008; 5717787; 39866530; 805269137; 445693501; 379876676; 919449617; 992499986; 173441897; 903387139; 839815970; 714931906; 928994965; 72628924; 640827115; 402479941; 260679674; 45393352; 724852247; 373421945; 895245659; 668790237; 476946160; 576595537; 618347943; 51402887; 223027424; 821775490; 618786999; 39343872; 388046565; 587697251; 82791816; 226139118; 710467798; 720339492; 72871237; 256676182; 923763350; 970788003; 593769184; 619722326; 85928439; 986679131; 343631991; 523991643; 282431765; 491777352; 856026124; 689182188; 712075240; 909245841; 407715189; 543192090; 195174081; 358921289; 256344001; 848282376; 704523246; 839970445; 435693776; 131523028; 47099300; 377334804; 13188979; 374952454; 696557433; 660665833; 810875565; 706024573; 125603141; 260320524; 456905514; 649860205; 63730584; 499317530; 579584292; 310610305; 675344924; 29875350; 518513977; 489775140; 343736924; 398112995; 417612318; 670960891; 352924219; 536346597; 723176813; 581803731; 95290714; 443898974; 932443991; 606593824; 589070057; 12883098; 9997912; 969976834; 591834126; 539952778; 635371460; 552595130; 938250591; 157858650; 877926464; 704961236; 600713088; 249359122; 347269494; 357328560; 630070548; 585674060; 93181009; 305052703; 480386090; 312226164; 150983080; 213256738; 663406884; 13250122; 748409109; 223313651; 835224313; 509733495; 533432454; 904453904; 287208613; 652021505; 127689201; 902488867; 796208028; 901661034; 451022754; 640528916; 869093012; 677023367; 376311315; 289612822; 699644561; 587632458; 880794543; 570372608; 842345585; 433269712; 75391473; 154370509; 977954268; 259749715; 329605221; 54975581; 979949685; 962681629; 722931629; 698990709; 659803294; 410876451; 236991610; 286108964; 988015968; 579263550; 600198469; 352233925; 619791351; 809497313; 723268530; 667205986; 505574561; 422395968; 473678343; 2618772; 111496407; 898333899; 938645154; 722728083; 88617753; 358866608; 174356375; 523359374; 682314968; 812736650; 382136656; 835251463; 372185700; 227853714; 193053339; 515934976; 69732367; 301617296; 572385545; 401575989; 2294265; 737486292; 484491830; 521036527; 675304381; 194831501; 789263412; 980776379; 543505264; 45653299; 43221231; 883169955; 257091989; 437069085; 199850079; 299883122; 797538256; 467792138; 784867678; 147675644; 785384443; 464295015; 199682165; 633667362; 343256494; 614996900; 280929975; 15374265; 234180959; 25826286; 931991764; 167762382; 125432545; 11774318; 28678928; 499801697; 696729529; 488378104; 377646822; 920229100; 493676124; 145930727; 59744823; 25680677; 589888452; 941909058; 702354002; 751192963; 333310023; 182429621; 628187958; 859119678; 505230968; 846124106; 353936886; 491249947; 957435506; 588876526; 667459739; 591531018; 267981804; 343333736; 165479920; 407877715; 186522456; 71424610; 91082199; 523475223; 53552718; 987493791; 963597440; 272883182; 596316037; 492564680; 377361455; 414810695; 120499637; 368428653; 274628184; 903046512; 939827633; 480244893; 485553539; 226059972; 856839041; 898484587; 417769184; 403015253; 639510471; 929781597; 279343597; 454239802; 34193364; 656888393; 747013666; 616862193; 437037838; 890894003; 532525378; 664154629; 577923877; 419814478; 460412966; 50482910; 788237267; 623021749; 947030299; 647476819; 631529780; 998457045; 408196886; 268030138; 361271589; 493554433; 614985282; 523526624; 462388192; 129378932; 474571093; 857194926; 491031489; 88463643; 265098533; 398063521; 820656776; 656929649; 934100143; 368835966; 76954013; 33172832; 551620180; 964383603; 37702960; 841047411; 369298375; 540732811; 740530804; 115727540; 12327410; 299629090; 773659246; 565366036; 472233273; 91439131; 398255646; 43896713; 610213457; 408336739; 729630941; 870984049; 225483882; 54879221; 990417587; 418900776; 509723392; 874825167; 255673019; 699923303; 272163674; 137291683; 349913071; 401314692; 918689511; 117584311; 774644802; 52151368; 149929074; 836382182; 773104296; 359290595; 154807351; 853818189; 818155449; 725696057; 806808547; 85945075; 875941350; 158961379; 514890991; 895525926; 370265061; 176998479; 544075736; 111063243; 539296455; 847064143; 88924344; 903309550; 983886064; 195376541; 870208097; 507882215; 316430623; 289903141; 360920837; 99702958; 917989972; 732627418; 45131458; 948231811; 5975589; 173553600; 863841788; 110706355; 738997573; 841172935; 646643952; 592630171; 674650275; 707426910; 85498765; 328506812; 118948212; 302273152; 183490299; 131892184; 709081640; 419045924; 517387527; 378972783; 554795530; 777033878; 754143677; 900681105; 878510993; 914745977; 631747687; 293558810; 643135792; 357053313; 437417920; 841448495; 176404081; 782623794; 435765034; 864437660; 393195282; 777840052; 409701319; 352483832; 191536007; 928607057; 722899634; 967398698; 389661321; 322474973; 572496365; 825155445; 393953075; 443164399; 305530363; 24116117; 531897807; 764128421; 112995744; 406325075; 366697522; 656883410; 222505706; 12746672; 811279362; 107789942; 919028444; 921356861; 820556442; 331299560; 912525664; 397625803; 266038982; 788212719; 615873799; 895263325; 822569978; 358086679; 13411423; 130502809; 27457381; 39097756; 319480702; 369667693; 877074578; 643764663; 382810554; 992698853; 165459882; 539555009; 53617565; 144150991; 132360266; 408902805; 161698726; 452353756; 954747322; 744617304; 415137447; 967001135; 802788613; 585703216; 456015463; 632028539; 723677219; 387568939; 698159824; 532824282; 549871874; 863561420; 975780517; 710295000; 991273443; 263575879; 438662587; 982524373; 489304339; 164614518; 846473896; 828987125; 958767933; 311895492; 947383090; 755311456; 913901135; 537617157; 878926387; 579189548; 638890658; 678458501; 475778263; 819525620; 139408182; 631024563; 743452645; 741731520; 836189391; 970134383; 638896719; 904460586; 483340371; 141999462; 579040050; 380253728; 994590094; 572999102; 968908980; 843589653; 314704300; 338509050; 970247105; 181392165; 178208966; 65969920; 672350878; 819581416; 970697566; 33322247; 987200701; 845302361; 427035892; 850160640; 438216972; 640602603; 469087482; 949489800; 701264781; 627859430; 981034739; 492623530; 267133738; 827046430; 694562924; 512154082; 307020553; 572792806; 815181985; 737203185; 75970187; 76010293; 197304969; 209683904; 229395786; 938843866; 76795716; 332628395; 672580662; 943962119; 307747611; 648862489; 780140679; 546482706; 672114176; 906295356; 438197194; 449173706; 321801242; 874026543; 390491358; 837540119; 342558211; 268449283; 507042684; 202693938; 9066281; 423770205; 630239056; 515651442; 539679236; 74677779; 807455026; 133847856; 883759264; 378729053; 376956352; 232514674; 403657262; 667288456; 695631944; 833839000; 386125524; 851991705; 971733644; 373235409; 824815027; 21059224; 794462101; 763016785; 873863147; 89004160; 212134658; 727190646; 428467583; 537491449; 151071070; 721769905; 912434426; 674706931; 5692172; 890289559; 878762416; 957871034; 772379641; 205635005; 115562386; 283557485; 711504519; 89278997; 839968171; 154147873; 371418567; 663380923; 728219480; 681110338; 166071219; 443162123; 846684542; 719713404; 868930306; 181321494; 87333910; 993023640; 689177814; 164849761; 229447487; 553040685; 565469089; 503250571; 128317815; 767962413; 258010480; 974352974; 154778476; 135951485; 816950094; 678714207; 351835075; 520953896; 624087702; 657801304; 912974940; 251339188; 986631943; 812158992; 13740311; 657019699; 618360959; 867356827; 601661946; 793594330; 178428992; 161998299; 216406065; 694923333; 49438865; 990291935; 509148138; 115844003; 630127421; 532492345; 846714384; 447651101; 496811116; 478033995; 949151567; 250091934; 540915063; 719603462; 606028696; 773167810; 413016499; 131067940; 906662044; 784437211; 165972551; 126498026; 730138771; 8261135; 76089380; 486299236; 354532166; 16037735; 697192029; 816757803; 960099152; 29901659; 575118012; 253060884; 919012580; 594436573; 829251935; 469035056; 161293866; 657450636; 430913806; 314293731; 150289542; 795576845; 758006778; 68003623; 917745020; 256918708; 563424214; 231468468; 469380715; 716292121; 357221791; 646402652; 994121168; 518546581; 221475260; 562775621; 32522520; 291304291; 996021564; 799234554; 268958415; 724125817; 900231164; 419941101; 587466772; 207863204; 4128356; 105052830; 234036726; 857751928; 330046185; 46756661; 497660006; 564196851; 433798804; 111388607; 110001759; 131505138; 241189800; 792076622; 118264502; 474528676; 968444727; 796218661; 442775428; 367799575; 400414636; 738256013; 399032936; 95880832; 58834186; 786452165; 740152682; 620169133; 524667053; 692584535; 981692229; 552088608; 888414738; 581395061; 466449417; 514611425; 687208699; 286283603; 596207508; 916187857; 408926108; 919261489; 315351705; 378855918; 410222324; 830369205; 323173341; 95585561; 855297490; 87701193; 765842198; 442402948; 621082904; 277240910; 711792064; 3947785; 133423134; 891366793; 133213052; 363043444; 93640413; 246125464; 723251303; 779008026; 245419594; 669433851; 917670855; 917469074; 672277988; 657711858; 384787816; 45660429; 17553455; 744956052; 957045787; 466676967; 683205679; 721947801; 683828822; 291840346; 612378543; 933404052; 345402397; 888145868; 714861998; 257118267; 275470006; 587584486; 190470237; 223642626; 900717637; 564767362; 494575592; 131163760; 925601722; 413268683; 292586476; 56394416; 833073186; 305069260; 468404833; 141427710; 275945289; 307696055; 710659153; 997408465; 487050908; 629294772; 795656416; 481782322; 430654987; 141327789; 198114839; 315952264; 376806055; 198364674; 87510827; 844247625; 999893816; 693858280; 266405016; 685056097; 476398661; 8403550; 792612318; 328854920; 50520483; 605401824; 333059196; 331690885; 468653162; 275396323; 353499338; 987339763; 786571483; 804576794; 518915749; 731370244; 92333643; 73645554; 196114684; 190498456; 11152309; 223563610; 964940860; 359892050; 249351704; 540021460; 164120359; 541535035; 202506563; 503025927; 230913366; 161234535; 698676317; 898735814; 128898853; 945146739; 296937014; 136930700; 516316283; 750501850; 739440115; 92385198; 816790890; 37359368; 57357961; 560142102; 682311707; 71767951; 770786303; 131478374; 666312391; 197399420; 508129834; 265021213; 265929477; 158476067; 965848737; 852982880; 24346489; 83835622; 702431000; 140731154; 728583433; 848122024; 42822975; 236412835; 127589923; 986462906; 871669998; 512076163; 420378621; 19318063; 776338151; 42932228; 561058723; 458785974; 892617809; 940989152; 159518319; 55441098; 728881507; 609897929; 601220660; 801604467; 980120705; 187654980; 409735043; 895327450; 362473826; 144610335; 191151840; 542034392; 281475527; 443127209; 25313581; 403591852; 4998600; 814473319; 474361403; 279186513; 246058333; 414366938; 761160369; 296333322; 247678578; 899908528; 68397979; 672693834; 525211449; 972832784; 73369804; 199525754; 192903441; 943880814; 3032743; 467352031; 746959959; 982237962; 163736345; 337743714; 1575345; 401865441; 798692489; 585210627; 981885409; 13703448; 483040832; 380022861; 930648367; 933247249; 811697070; 769366818; 925095141; 850881699; 33998833; 812504313; 434515516; 525952801; 61162688; 441886866; 848854240; 509380772; 918428943; 796673875; 184843378; 96189754; 857034956; 812366312; 702078460; 541579421; 61493883; 768560206; 822813381; 980900947; 115721082; 718863257; 684632622; 713181074; 588602398; 766105878; 700167421; 452809580; 868953833; 169029859; 836457760; 504111812; 95872149; 128434321; 63817115; 545521463; 718927862; 806622202; 277268344; 241415758; 252780424; 48142844; 936865670; 724512127; 291572774; 162145195; 273765227; 841889579; 185560948; 440113137; 230616149; 841264995; 288075310; 578013418; 758441329; 519454302; 436987240; 844836295; 264832209; 812985390; 846292806; 394518142; 348973247; 360104409; 669536055; 876096774; 932465938; 74700793; 134930439; 577139781; 988588106; 241622432; 506697348; 969164017; 28924576; 917701625; 919509033; 174785391; 207975062; 966774708; 49451431; 533874769; 336018906; 63335597; 220692475; 10277779; 137704696; 841398327; 812332744; 2538307; 139396617; 66321398; 432815322; 213707353; 77348425; 368421590; 283531904; 352111639; 647111252; 298558675; 16597579; 624534301; 62344657; 530099869; 308384456; 680761246; 98552510; 394338147; 460740897; 897714941; 225337029; 587035696; 560083095; 850421309; 945666927; 859244528; 94749904; 885934563; 529561981; 819095083; 37138274; 329751971; 970915640; 877093036; 229827899; 29349447; 865461062; 5562048; 870847215; 267797325; 655465315; 163008749; 731796265; 146444274; 89321290; 366922142; 316578891; 252251936; 788410748; 667729832; 200799669; 305178243; 489280635; 223020463; 555711042; 725620931; 630678766; 194952975; 371882761; 325822875; 164835306; 321365624; 4696613; 47055443; 553843452; 322696408; 798886301; 982848001; 230399098; 869603347; 938614479; 766435168; 783909785; 299014480; 147432547; 958890122; 667353842; 520093357; 844795961; 478730112; 881366995; 213029755; 362071249; 940396157; 659528386; 49537646; 750106248; 379073144; 551518420; 838561140; 780696686; 201860695; 498573007; 886171087; 89882792; 669439041; 889852666; 340082834; 561315536; 100307817; 863181298; 707025911; 673846944; 168309030; 771453180; 9133166; 978142315; 683981551; 874483875; 441721334; 479337942; 571889810; 693971431; 491142174; 84523777; 995195076; 893856479; 742879722; 945974800; 335422033; 516359552; 570553441; 934136296; 709754778; 534888962; 981468002; 324695348; 547216780; 87385342; 269323421; 516482251; 247996726; 747341886; 647086344; 756219876; 674793002; 567216641; 488524473; 999455875; 664626322; 481454134; 253835163; 347484149; 980783510; 431595097; 44241714; 159681053; 369801472; 63065345; 547143090; 392152911; 245741074; 464638167; 652936042; 469475983; 153851556; 788437707; 26183251; 738119285; 829186848; 362396552; 807606498; 408332541; 104717376; 10126100; 371423684; 114925605; 737142129; 681808245; 547890635; 748982901; 829944870; 60685221; 766388111; 289945203; 4905966; 912738308; 678008996; 98598288; 82083476; 535092435; 845483854; 439507678; 566148456; 112834742; 430087177; 471268101; 383543732; 290781562; 889258925; 846628335; 547651327; 396046703; 485092737; 634687725; 671497720; 849587886; 121640019; 102890954; 974236192; 27817075; 862694814; 79852123; 385794647; 333432372; 135888585; 879056425; 566937903; 355939601; 784838386; 515733474; 619274434; 248135564; 280614798; 888286016; 409042012; 740765221; 946255696; 831015025; 942790425; 4620438; 129804195; 697878431; 698101266; 415004912; 124512864; 648271875; 290321858; 494280647; 269916465; 186523315; 692153961; 866044259; 456565545; 867703162; 903711912; 693683649; 887798699; 374794141; 961439707; 987572024; 324103; 469579076; 208694146; 699096753; 475012066; 928100761; 440834117; 834654794; 269716503; 639695861; 796648501; 532009533; 278773625; 372722949; 129440253; 856487985; 1904118; 19499975; 50849331; 200602327; 914201026; 843431277; 4422622; 627598265; 885563942; 630305235; 319966781; 311584711; 293493198; 345009835; 928911903; 243394949; 195544504; 536169822; 593715124; 57769865; 970039359; 871459038; 220620954; 844684604; 137858476; 184583026; 71890200; 268671105; 443022747; 786649143; 90751148; 915044461; 520736457; 596810973; 103321764; 777446607; 267764825; 165915815; 972010221; 587145602; 679254225; 687126563; 935117418; 631456730; 592466370; 671178158; 156493515; 826803522; 664970071; 995696784; 645118596; 375029570; 52841348; 277758920; 984226480; 125674742; 732163821; 680701020; 918195239; 33051804; 361506341; 580325942; 557075056; 269628418; 707226206; 616211791; 77735845; 219921236; 247037390; 453772529; 255134613; 104632581; 674872186; 259492533; 674000299; 7063990; 101256548; 435865749; 896524302; 550873563; 50026765; 746590892; 571272371; 134361171; 731122020; 506824308; 160421953; 290547488; 491553619; 446368077; 541515801; 664744807; 959286155; 673516598; 376088256; 656047823; 486260335; 381963470; 830401065; 577180301; 770581081; 21677998; 274390091; 943037993; 433444622; 152644915; 78778498; 263270046; 711652546; 814903530; 815193959; 631145673; 489286607; 758402103; 162194413; 996080405; 44179469; 863623448; 778649769; 947265028; 773903368; 326770950; 648170896; 692720037; 412530596; 889138348; 961340348; 74072619; 78201465; 133734761; 151339974; 799578501; 681139946; 529721677; 845926684; 884311353; 973259070; 357603567; 366256590; 555471590; 684565719; 836737538; 929858618; 537530198; 353542685; 330278017; 79967226; 565347351; 918332528; 988720613; 176507082; 395429302; 287483779; 495252357; 608236651; 727604882; 294500618; 699659325; 855392600; 577649118; 612447287; 476219667; 991373902; 812162823; 453589620; 239419779; 897971518; 483495950; 938617313; 485461633; 205797988; 102827077; 709944140; 97960623; 673633091; 266070189; 547962296; 568435826; 443094678; 184669243; 125913964; 464358971; 352923333; 902505092; 941206942; 869051165; 246348126; 372691047; 802470916; 325585291; 701296239; 352652075; 236245547; 903302297; 31989297; 45749676; 720269239; 637031435; 145373404; 217215200; 723787358; 244199174; 260335747; 740128985; 879242821; 70294168; 821334495; 479230240; 930383370; 70817972; 200546940; 619930199; 489087810; 54349688; 139088378; 563247699; 263066024; 743094435; 370932430; 447504066; 153844238; 638488801; 601985491; 453636076; 499313842; 34760929; 9485195; 243162735; 778652543; 715967737; 714965281; 489122109; 188559721; 637660068; 238628709; 271235655; 942971853; 947652994; 999410192; 540414868; 626107828; 226048171; 182367621; 104517092; 611980698; 709709167; 684769299; 954232006; 653948574; 486955208; 681747572; 496570812; 659043641; 825267398; 83372392; 371922306; 79585534; 861097570; 70930214; 523036654; 14823773; 792703220; 509376247; 453620331; 911252367; 655600430; 893445629; 599287572; 659818844; 204428856; 843758251; 473863005; 735866181; 636465606; 933822225; 811334133; 27901594; 66485855; 977481244; 652946394; 730819628; 935053353; 199370286; 293573328; 459524247; 482492634; 291551448; 402902043; 948297237; 349971513; 782899633; 701584495; 327068310; 786716092; 289467382; 526340015; 914305513; 894130414; 268685684; 135873222; 854887437; 354118229; 990617597; 674850424; 592523892; 158508561; 705495007; 521342146; 673270692; 211190367; 870459775; 440193048; 99972808; 508863118; 206205938; 378875840; 310029102; 986611476; 656467878; 354980920; 889649754; 983443023; 651067233; 619042050; 13242676; 178356902; 661629994; 825710339; 139529742; 959638333; 85354561; 321537511; 767570911; 804976772; 672881542; 889104338; 595656976; 401613620; 390669817; 881343300; 382620817; 699897178; 562805837; 983615912; 879676898; 706659868; 375778604; 324491915; 715017660; 122427005; 625820835; 236527259; 660194331; 38856314; 996199754; 743886795; 407452556; 996510941; 109479318; 785138777; 245336509; 526305054; 523556764; 52747388; 928147564; 36156849; 280019977; 506076456; 876409002; 214872899; 841307054; 389393672; 307670226; 374083815; 483879524; 942380015; 360287770; 411166558; 552532444; 20362631; 763842364; 629270137; 642602782; 628232986; 687042667; 182317496; 500976760; 588810855; 721686709; 941437960; 280577135; 508451954; 409772085; 548620504; 291083189; 740035663; 912091655; 936515601; 162048973; 83015523; 408447938; 576831116; 889297826; 220772000; 675569001; 502102036; 479374478; 202654480; 187374782; 513094434; 203368758; 895059619; 768584939; 628030998; 933676235; 47381206; 487083888; 378386982; 495332950; 640577408; 630137005; 689021145; 325689118; 237560173; 671836236; 265247132; 90181613; 33484661; 574700895; 313854348; 660264463; 209792787; 333717051; 812928064; 934427838; 618482205; 577300073; 522770707; 438756281; 171711171; 351665106; 525416930; 97107745; 47097081; 618515390; 186604942; 109941126; 374819782; 205754748; 613970699; 573023482; 701288562; 86111714; 235752642; 82506274; 46217516; 428263566; 613565717; 192238089; 153619499; 637049695; 127309069; 720976269; 546728774; 62890546; 474843172; 679456166; 240624002; 113682884; 63931679; 133203869; 338525581; 7615614; 958139544; 753357455; 99931652; 605335603; 721440483; 328484290; 664157575; 774127958; 108342084; 422677449; 392124925; 794889428; 158650533; 503446483; 508683553; 963497342; 26558303; 168135536; 29484000; 76939759; 908451157; 238847561; 770599539; 28977670; 528043483; 456786532; 241847401; 629990996; 260246871; 221874582; 497671631; 250025917; 114007840; 370290898; 652842334; 886995709; 624983670; 653614605; 65200106; 5726389; 707626096; 147647527; 568770130; 276441894; 683979691; 753328558; 896269060; 86312901; 533710485; 306798283; 843905846; 525855472; 477404927; 180988372; 168638268; 595099235; 269852184; 825172693; 125045031; 806892293; 685502283; 177114102; 264825941; 484888652; 618335741; 765412424; 842665153; 318094454; 766082442; 127033181; 325845334; 319369632; 187577220; 163831444; 443773665; 24772454; 710353326; 752981125; 808402389; 809661972; 528881574; 945420558; 239635094; 192678854; 435382136; 31206453; 178433992; 50409089; 312497856; 653544561; 370507032; 712664094; 187057659; 373560224; 837692852; 227654693; 925838144; 325824874; 633089236; 214642040; 50773784; 770647372; 765067748; 586793305; 213673073; 510654749; 537130068; 151618294; 536948683; 417625595; 6668351; 231864618; 765570071; 423646274; 260353763; 702258501; 511117411; 637025251; 933900151; 14257946; 428882242; 563610598; 215689215; 525076951; 723939898; 357152512; 67639477; 133322456; 343167214; 306685626; 549873695; 757095556; 774656522; 86054106; 51371040; 878879588; 241943292; 831133542; 265940589; 435898247; 978697468; 149987882; 883988926; 681563322; 896541571; 102707236; 776278973; 717700952; 838445720; 584417945; 806331456; 428231910; 115177245; 462036209; 857219544; 118524332; 857008204; 774548365; 755632978; 666855244; 274715876; 414452278; 43689051; 739316877; 809608195; 637278213; 322399029; 168753214; 785234172; 888313027; 503295764; 289295722; 68192958; 704521501; 489356131; 512859860; 815194307; 963807323; 475839098; 259729792; 200073511; 740678317; 702387174; 957703704; 734975559; 795062619; 747651610; 251198478; 146416112; 792891051; 113907425; 634647452; 638614028; 519305424; 5347193; 269175041; 769396972; 18633872; 328228960; 324249051; 639584650; 194262913; 365580245; 58675816; 777933203; 106195375; 905603572; 74583354; 489229336; 332773212; 41026033; 815540976; 316976500; 995861551; 465452503; 704399048; 860459309; 701295233; 768289746; 702787946; 317107676; 128507029; 845662511; 264594787; 936795572; 105416006; 603821817; 411904995; 680534808; 20844794; 391683293; 902451025; 479221704; 751864121; 32067785; 590846770; 412550280; 686389294; 979586319; 567781757; 125435511; 334589965; 818387069; 274365856; 818335600; 688388211; 995735525; 397678180; 475936837; 930646328; 59314877; 911653594; 303419082; 826485027; 227600587; 489399108; 183170796; 873825702; 338318533; 69772286; 260125053; 409150425; 385980619; 187450750; 883459971; 547869531; 966562583; 105331657; 849724494; 353682615; 830000048; 385904783; 305355730; 153652834; 30975478; 617977000; 920676101; 863552030; 864582615; 550486779; 767263383; 572489480; 647875999; 363383985; 687913224; 944341654; 163537293; 716825758; 629235568; 889898943; 995999775; 324188567; 187194520; 63353177; 574119970; 919220142; 356257980; 280451809; 595949319; 400426142; 641482758; 262031; 521586065; 69543994; 398250529; 342254279; 80679661; 645748250; 854888531; 997296650; 754489902; 707492135; 164100814; 79763541; 784973948; 451324267; 542168073; 238606515; 76917255; 779595350; 708271785; 665050774; 359801426; 997013986; 87465508; 105306260; 237670398; 668148548; 681552733; 42805663; 294205161; 712202382; 151268837; 475041200; 464370666; 740936305; 262047680; 201617776; 197632205; 804121146; 984446865; 681009902; 522144762; 388662524; 86529350; 415205538; 111742467; 51407974; 553573153; 397976056; 657043924; 76668010; 509892480; 864115412; 893568252; 868452415; 945431449; 396820033; 569165452; 813741397; 421953957; 216408679; 225479506; 357777648; 96450575; 478594017; 342907012; 311835031; 520906139; 733385171; 991949201; 936291492; 242647665; 530531462; 62340474; 794373860; 246521862; 199545098; 606433912; 731336344; 737943073; 772098615; 112747362; 259707167; 67197268; 264073453; 776437029; 69315328; 279980333; 935520695; 599409565; 355052057; 976635953; 16870860; 247878215; 183742255; 885231733; 910850248; 381268519; 510287517; 704491140; 895310915; 243018923; 693314473; 808734189; 420582935; 666339221; 466947493; 590471918; 998806089; 396645822; 148402610; 347013090; 372464149; 179564886; 131732198; 998378343; 508776184; 861649268; 571612191; 558061666; 905568948; 559365812; 390762998; 575667928; 451848386; 125591147; 440797383; 193865619; 834437307; 939217988; 826191316; 301045527; 62180104; 845602327; 231443918; 322378828; 500759974; 778720117; 896705337; 660411899; 689998085; 763302598; 929403168; 691488234; 618145269; 74887455; 586898694; 927914231; 19484441; 608688259; 844197614; 356028569; 132898986; 773543499; 328372784; 586903971; 634528859; 682944971; 766528593; 878004588; 843321638; 26949301; 257700974; 966429459; 484949070; 74815500; 155398003; 385874365; 821937046; 357441254; 413444585; 921949471; 89897908; 671958443; 536733515; 952751465; 334240292; 686954004; 440027909; 527745906; 233688192; 175236064; 210060665; 891756295; 135516646; 321653460; 590170812; 45055701; 267949970; 458955011; 430754872; 32128400; 792918191; 594208917; 847267281; 301886299; 343908788; 753734009; 587678547; 986080445; 921758297; 877649659; 447170495; 432734057; 53223820; 276711947; 494185667; 684434482; 886802071; 827086348; 378368415; 43018833; 852497642; 958137291; 972202068; 116851059; 813146452; 53318843; 781560549; 550571684; 373596523; 882485218; 74675785; 957797542; 658508716; 465058349; 431786414; 300420339; 738837764; 893350276; 537117670; 404513286; 63677786; 937789110; 947885788; 492881309; 92719951; 796005878; 392609066; 453664195; 967243268; 612474073; 678241553; 130178835; 609214553; 1305806; 149337632; 508470077; 921204896; 61103850; 514056611; 742660901; 287766351; 687880854; 990805186; 714958436; 416369453; 105932139; 192122533; 44756720; 272582589; 673783678; 278849352; 406312918; 529974894; 993649076; 335104139; 976413146; 74343139; 624660408; 269677090; 840659346; 547893220; 491007719; 972796683; 692362985; 127386173; 439428799; 141862439; 523521601; 262146584; 795139615; 270403405; 255438845; 609877796; 17888765; 165597639; 120489448; 944496425; 479394385; 763287987; 616577993; 518162895; 814809512; 474248913; 599185834; 793460718; 825522328; 249456531; 16870550; 971347951; 53847782; 18260255; 62705940; 729336887; 501011516; 440324012; 710701542; 566583831; 718196163; 480129055; 767731532; 411905637; 911332325; 704023100; 707667681; 930015387; 876976606; 422919440; 636278719; 350988981; 719258582; 178436818; 69923632; 230996323; 706269687; 291386979; 344613475; 390925772; 833913242; 793089953; 56340542; 192806762; 197781666; 702675174; 497172389; 106921258; 181799608; 660326219; 307738063; 803948747; 153099730; 333080704; 976367107; 953011714; 691787785; 359365340; 197036160; 935319918; 369393637; 207874328; 364074460; 302313238; 694742050; 683160629; 850365307; 343914383; 845223416; 893232210; 805639371; 950029311; 462055761; 826002218; 224753888; 227550905; 630768686; 164634439; 354049027; 853769624; 968214308; 692529434; 410469603; 251274117; 498121192; 315075127; 874038098; 642476222; 587909665; 835115101; 997643519; 734258281; 990964437; 616753490; 491924719; 292281717; 693524515; 320317955; 903943386; 247266094; 696177267; 797158741; 854566367; 941294044; 485826406; 515425501; 852027979; 946420811; 128429715; 593206699; 730478595; 196841116; 259066570; 94271953; 673946163; 559061031; 442529961; 806699411; 728873788; 486578960; 704603435; 251037277; 425769312; 208139852; 394715076; 622929056; 618638106; 773425178; 656221297; 539781856; 136472352; 713597070; 576588395; 891296403; 133844083; 809672218; 466771256; 921876309; 158461473; 567350; 332360788; 166187547; 879954080; 626629140; 664316986; 130723156; 372661398; 942900733; 248219023; 854569281; 229007931; 291214564; 305039383; 192257504; 785108566; 803998527; 354833821; 492933753; 197782910; 118579285; 281708278; 208909522; 132687259; 304869656; 476034378; 45941304; 875614275; 447883271; 743262934; 82405230; 435658132; 428264370; 406384717; 797556277; 889866648; 620247745; 964990606; 239491738; 879217103; 287694830; 975908032; 853819746; 876628667; 854271443; 998557940; 187234556; 302226831; 2902488; 219095297; 542239379; 127705548; 959032859; 628345596; 205686923; 994028705; 959368127; 169199021; 648340519; 909345064; 587304783; 189399373; 404859250; 67466457; 216961082; 439532522; 420711641; 11263556; 17509430; 216598977; 89871708; 940625639; 77743552; 391491256; 458920870; 863442257; 437160316; 787237706; 863226851; 397981589; 717239917; 962894518; 549050125; 67105413; 51827120; 788850010; 909220432; 648921583; 374536160; 513884469; 793335416; 933608023; 608828980; 747223556; 762749882; 438335570; 65856652; 289138440; 235336459; 845326940; 969557163; 719972486; 910655501; 481328718; 728053348; 519121420; 813716244; 876639527; 739519862; 660845855; 525983157; 881559087; 115240987; 990966506; 590054870; 800522951; 459745791; 969880680; 787543290; 747656646; 282068057; 557326328; 591157504; 806831914; 225249875; 57419579; 876798190; 352140707; 480262810; 327916441; 760565285; 493079242; 592394839; 186778434; 529621984; 290546429; 917484691; 513860089; 549081078; 41734746; 732435642; 403728253; 208117794; 459109314; 57718925; 992892497; 112643818; 427117139; 484606428; 381372000; 696953083; 386690980; 792058267; 478257086; 210653464; 363981393; 656239726; 463007182; 30962799; 259433288; 618191299; 250669930; 276098218; 156249354; 158409915; 506368306; 752435603; 50869059; 696143338; 433086568; 86113180; 955727652; 646840649; 23442257; 33065215; 40869542; 440168586; 526339973; 794868534; 115160226; 985977591; 514406652; 562971566; 604551408; 183976065; 874109619; 922351428; 254056511; 959037989; 358865248; 37966714; 78598190; 835742455; 7744740; 627028633; 993432281; 480942448; 104552939; 965648615; 414513071; 335256350; 544587719; 371601386; 265117608; 562087191; 189167579; 150680386; 121281830; 438470999; 308406480; 341424613; 948218840; 551827609; 796337299; 159047020; 695475657; 190102914; 341837347; 862894752; 960827247; 181088493; 942564442; 306895916; 292450843; 998919837; 634714320; 76801660; 111538059; 779195007; 298224506; 753874503; 248183040; 943290200; 260924196; 496612522; 105881817; 630176445; 392051922; 65795996; 924871045; 91631944; 16048059; 622213309; 929120551; 875307039; 158848706; 178258000; 720267734; 803150570; 43977412; 607521218; 939186539; 719491271; 55119685; 39746932; 328096722; 898037476; 195705478; 787978661; 898462337; 168342264; 100443278; 185297139; 555016709; 274225048; 494561083; 484073414; 246274620; 409884976; 519272222; 669449352; 950286242; 228650837; 887025485; 819630022; 109450038; 852982313; 157908449; 397843853; 918475513; 432162258; 687588256; 453905806; 641484222; 815809312; 120857234; 607252232; 484575934; 530159635; 21382794; 104168201; 610716825; 578984581; 921729477; 553913482; 438482353; 967290581; 147444329; 195364868; 738662059; 618827435; 622813305; 839258693; 27342041; 76879443; 502349206; 149495581; 45461032; 434870940; 709750128; 284152119; 862171761; 901030955; 92507875; 130812759; 331672837; 862417776; 755560399; 219504742; 951149314; 229138593; 401730412; 493215355; 619140001; 858064982; 884762034; 422120232; 808709288; 330215643; 72524013; 494644279; 750825763; 737327934; 706422304; 547261355; 384776986; 403826170; 798655218; 419514880; 960600763; 196914195; 734583320; 217668605; 134665126; 403865335; 121979869; 195197362; 301739304; 862875222; 182146598; 711957234; 233136951; 958742539; 552412762; 594663695; 430177018; 975002700; 859130431; 690678487; 600049483; 996320679; 312499380; 83480915; 475473144; 988387081; 928926977; 780648876; 300775473; 943269480; 564997101; 349733680; 686929026; 858642198; 605101591; 89270591; 205678734; 178450033; 886301092; 838077867; 991221060; 212973450; 612284585; 975173970; 437294836; 849767679; 773989194; 674340421; 144717426; 163023702; 722399141; 598263875; 314792583; 688568932; 453908602; 152766327; 164730460; 611331558; 467396745; 471606670; 870027816; 483422264; 520243821; 429442583; 849813640; 607618141; 962919378; 827896118; 178331625; 888695600; 265901630; 15922874; 396110082; 649583331; 830937207; 60621105; 791261112; 168079422; 489711756; 748588854; 985385522; 71854332; 512933896; 767950191; 12472926; 599941054; 633018199; 441889182; 375446904; 221801218; 88875514; 826809639; 288746131; 870118992; 66981866; 167272987; 859234189; 252902211; 701727075; 716785485; 317599513; 17668797; 331599353; 661178357; 205624727; 564440045; 708425384; 278657540; 491896240; 233079622; 985807386; 781097074; 344725593; 542798355; 488881882; 267350075; 467876317; 142883074; 418962000; 788276614; 76705362; 999255864; 633931376; 174543134; 78982088; 696706947; 260370293; 209117804; 180704309; 104383854; 513967897; 316656700; 309469336; 573888252; 350956031; 698066393; 410901630; 332169164; 422227012; 489899553; 812646942; 349789835; 389741635; 729513398; 691650590; 260783078; 119002497; 278300817; 803673102; 632625138; 141954481; 916681464; 154749626; 481826196; 892669084; 11328018; 282917752; 555253217; 764747364; 7047083; 499818407; 706139669; 927768961; 989313270; 93416806; 686421545; 772008104; 217397902; 622410727; 271788893; 897977827; 410952489; 345032165; 940699678; 871718162; 305459686; 104060220; 608261895; 719476719; 1580942; 181653723; 717006503; 498192533; 813646946; 548968882; 975870219; 385552187; 452539906; 598141428; 890396898; 976840593; 181777756; 484721904; 750110707; 265496406; 502539170; 168163827; 53600807; 606529708; 366786374; 39817358; 921448385; 801412758; 981917979; 523446702; 191281933; 17468610; 200048198; 235118916; 366897640; 93955655; 604900441; 256845572; 624182164; 460175348; 281753381; 41437322; 3091712; 694634548; 494959177; 21048538; 800735037; 927578002; 297539160; 846641985; 235139177; 487774514; 811225483; 901537277; 797603105; 238190523; 606904417; 428343688; 975774712; 409764451; 582378893; 224769862; 647137391; 502320582; 694681031; 510682148; 708630317; 793459579; 170048160; 109306056; 285540087; 184492501; 268858158; 503054278; 633155670; 682058837; 349442137; 70360344; 947677536; 872229653; 131556495; 145085854; 260610960; 338909152; 228431826; 27423133; 693868374; 426010515; 723807249; 437430295; 403482664; 119263545; 991723177; 519651238; 658726118; 581134376; 828217253; 39641908; 775971897; 788233197; 412311879; 507870045; 609638015; 250311410; 278937276; 320844316; 873647532; 263655498; 222321788; 330443052; 53329843; 525207350; 174348371; 616923785; 863188325; 386439453; 581850155; 608281404; 19282529; 993685590; 986096343; 228455017; 55176102; 623254139; 857462164; 402579076; 54999617; 411301568; 925816859; 68443292; 293931098; 899640030; 426543657; 597451213; 96866387; 695982124; 707254452; 690480319; 808896644; 989067061; 843900016; 103513320; 218978948; 66846784; 912571692; 625802799; 300340752; 56588521; 341255768; 714333365; 544625842; 950124284; 31014761; 77937596; 129528551; 42346485; 696959188; 421274885; 512670630; 572902335; 437311640; 430207549; 239686357; 70011857; 158245009; 829324646; 425196056; 295892674; 768366860; 958699042; 670571366; 332081891; 958771420; 376104656; 434408074; 172514630; 87476998; 934423611; 344444557; 265054586; 741003158; 543575231; 704772756; 420654765; 626084629; 880741702; 372740698; 205737829; 327161919; 672210592; 560183980; 264072993; 411684732; 983473927; 796746688; 905938996; 840942870; 951691109; 666030037; 1974398; 54932731; 661793718; 925695603; 240903629; 874843463; 151530852; 383035114; 565695958; 274670473; 203291624; 287863301; 221421425; 993291508; 753191798; 870520814; 22233997; 434745071; 795625145; 217479910; 974432612; 44338847; 169745036; 238805134; 177018899; 505689108; 53708709; 695304759; 769154442; 675655371; 610124599; 101761809; 143824267; 696490600; 633734497; 250224506; 408848496; 823112795; 229093963; 112150830; 493498714; 260898733; 360062261; 298620752; 685175970; 496144125; 359232227; 527708838; 159034608; 166075364; 794734684; 896279086; 851714082; 703539420; 645927097; 742642621; 494964519; 847934072; 250597160; 354729236; 821215862; 553183991; 935604317; 521908995; 859168974; 63054176; 306659948; 495565416; 745039384; 227455252; 97415741; 451278784; 529339811; 462458825; 99068292; 578964231; 275939435; 670079070; 931737412; 604754229; 802391719; 804796879; 546683742; 830057059; 370476774; 944144879; 818288455; 7196; 874266759; 417727968; 528968353; 235911857; 809237044; 413028434; 208933505; 23920190; 577983127; 788854247; 456961621; 747846754; 599741848; 137286922; 346929368; 130497715; 543596088; 289136723; 519440605; 355642872; 804114103; 208317896; 216013318; 403945583; 526333082; 593224258; 912533254; 139571803; 428510389; 656843177; 356530126; 939795738; 824890527; 437165737; 547345537; 188863319; 685250695; 16245761; 206538377; 634288720; 777404702; 804239641; 728767415; 598568307; 335738634; 425645535; 305376840; 399516873; 286699755; 20848175; 875316404; 595800091; 270815159; 394243920; 637225255; 245835536; 468940523; 275337854; 755995489; 264580468; 65634440; 754207693; 616182640; 85591113; 392838428; 726114283; 417795761; 386120651; 603927949; 747122369; 552413820; 928808280; 685156935; 613220170; 612277255; 613744794; 788707229; 984919085; 45985546; 340063915; 904067092; 362974624; 183963321; 463360543; 621507787; 809566801; 878592420; 847477429; 9312053; 566904911; 246359439; 705889100; 745329604; 216356718; 344324700; 477698712; 46049720; 488163638; 67690668; 833175293; 508766244; 913013917; 67302659; 67503105; 716617961; 398106561; 638516600; 148553382; 509966402; 961424263; 271521527; 536979787; 45797631; 252419760; 829484401; 416467636; 176082825; 647524889; 799073312; 127362270; 639764824; 24206710; 523259473; 351442261; 628065873; 998357563; 349654283; 515184617; 170520173; 137926365; 485039151; 463474319; 423577173; 132358962; 804070230; 378997149; 949338724; 405512305; 425988943; 467186165; 683550150; 984772932; 215427713; 134109790; 656717834; 564967803; 693477258; 483100920; 651047885; 238777496; 912457661; 415143532; 396287110; 160147761; 718929943; 106375850; 65622385; 598097835; 308311596; 891108016; 514778905; 15946287; 480651066; 808253737; 986027556; 388267911; 975779962; 44287553; 974193343; 293394641; 654337403; 918881815; 387335016; 379115267; 242854779; 90384282; 787134346; 119265416; 817483155; 984853017; 851579346; 217573137; 953173807; 499729564; 996433457; 66971678; 153669459; 780993894; 141433204; 470912662; 852651051; 622846245; 89036864; 737043062; 880627555; 619165256; 123258613; 920796837; 533351098; 154349285; 439080158; 839276664; 139779643; 458283270; 655211931; 193847628; 310793748; 310188487; 393678623; 843041345; 651595877; 372785867; 729223920; 4765085; 579323054; 830092628; 713835191; 975629161; 26524044; 264271559; 221461445; 188891559; 98992006; 708493699; 565041516; 501136240; 559183024; 326403294; 485857982; 336542293; 244491964; 578563678; 176401693; 312083906; 560379734; 949455924; 571326283; 191324448; 270072833; 596023184; 361693704; 303766377; 171278565; 9864715; 672024780; 741817466; 742085160; 544560521; 333187334; 687217695; 852443714; 447513700; 489965305; 380979537; 610605157; 691727379; 818691899; 646002588; 530894894; 81589735; 283939528; 471146216; 487541794; 404206278; 971712188; 504578842; 525375418; 163047530; 441588565; 16234968; 51907052; 842199873; 214195050; 85625379; 728100337; 869171499; 376845369; 173509981; 443939752; 447973640; 755229208; 506065651; 184914068; 676382266; 758785995; 420435728; 524661868; 188278911; 933339454; 211515220; 398092380; 833143349; 612067307; 569304021; 635592056; 916053081; 207844324; 388585929; 668131598; 227059319; 854859413; 294983001; 525606372; 896047825; 561300045; 819382210; 749974134; 687777625; 241748260; 764393351; 14793187; 140150895; 318036687; 236113923; 119426377; 571954821; 287720154; 678401350; 752580438; 567180715; 123346652; 225918193; 104113279; 728122516; 4486949; 564627264; 742777576; 470263349; 108983572; 271687232; 318628834; 865482019; 679478084; 622465012; 544095152; 468277887; 82806120; 724568267; 726523946; 352724289; 247678618; 979013452; 874085356; 751556744; 754515765; 673625090; 997139504; 686064025; 430836516; 496886260; 874152899; 998611739; 448836022; 798399781; 696409683; 516398137; 975353670; 654072845; 304963721; 19777615; 730350765; 729067047; 872865711; 80507283; 725832865; 276833634; 884516462; 259299579; 275245845; 608662407; 101596240; 574729702; 677085082; 161742063; 540890369; 29906642; 192535530; 776576289; 602121652; 198079457; 10034163; 872662919; 546031730; 66236638; 816269810; 742456985; 92889924; 791399182; 409289038; 285010621; 342799112; 571139781; 553250887; 486692820; 581256897; 184741886; 847257436; 259186717; 548989947; 856030573; 275785965; 5783073; 690579079; 301298757; 205766067; 991372743; 205702938; 993912149; 478160342; 226148106; 942488839; 281380788; 739574366; 734319006; 228945744; 889023744; 876074559; 482941241; 449715207; 576607053; 416382965; 769020271; 888368040; 962489132; 423180122; 269788131; 589768664; 6464419; 290252173; 817288615; 670029577; 939895919; 518957863; 199379513; 569578959; 483122331; 651991350; 807708770; 934531134; 345037977; 507473429; 261239439; 130045997; 620839083; 211913187; 821461332; 558346195; 244289773; 429096824; 603403955; 608196214; 906057704; 91992812; 914513104; 778536544; 830748556; 974418872; 881313021; 373755243; 890982173; 147254449; 803254551; 561626428; 219578361; 234121168; 966084005; 401546095; 334568025; 728950471; 184140047; 80538845; 719217159; 126024177; 540450816; 762567820; 67873783; 204351991; 132418225; 994575368; 977635252; 146167505; 112114251; 360056644; 797901546; 847273587; 411038862; 271337288; 123065693; 270435828; 506274631; 238010520; 225756681; 97946928; 495501962; 111525375; 722475322; 663363243; 151869791; 685437592; 925456897; 831830913; 50512571; 927526404; 585726813; 377890302; 525720503; 972917563; 302012072; 331179630; 981732085; 198830732; 483646123; 186276329; 592573890; 116680555; 811721884; 442744461; 139843102; 243067975; 935831581; 254185367; 370015195; 407260454; 815719404; 314117126; 441478219; 4358188; 244521162; 151654969; 907982826; 667608335; 533012464; 342510068; 874608661; 689525775; 453013324; 158666512; 100403301; 754523088; 936831733; 237076593; 232789926; 269299400; 221205828; 512791005; 11709004; 275837375; 683476268; 576766308; 103573825; 706574807; 193738172; 702658307; 820938763; 772521311; 714902584; 790222121; 616929377; 771463749; 152495121; 784347014; 165833030; 462108089; 911545890; 118838785; 960234221; 805798154; 987896837; 613623585; 77261426; 120187584; 784543552; 652393259; 815707642; 80771725; 90942185; 194140359; 702357073; 968971822; 678016206; 810228791; 691680709; 335407068; 725804688; 509462002; 327630901; 418504775; 909692446; 874002136; 591224518; 770943390; 396494497; 225840592; 474712679; 568610270; 918606523; 818252144; 557611375; 966540368; 137517604; 915666622; 734597970; 606978393; 376295287; 515279572; 266352319; 858342482; 259638812; 219121278; 84450301; 917500465; 276283695; 484133131; 881074642; 878901645; 770461034; 848947235; 353513303; 324926938; 101109856; 888264873; 642157001; 45078000; 96989775; 210254483; 63196183; 688356023; 894956645; 861220884; 587962395; 668213598; 119665681; 398251433; 675694966; 999086120; 683198212; 273468838; 238095961; 148713097; 394188228; 253242693; 795647009; 136897182; 119844594; 808719709; 50032544; 407808876; 738584225; 95300045; 12503292; 997466558; 806285702; 629346955; 746204626; 645326050; 842746471; 190624676; 187544715; 252949750; 18605000; 631589951; 534486810; 921409422; 162744658; 385358203; 376954784; 297332583; 596576466; 72840012; 596407994; 715724818; 880885655; 350465645; 394812025; 864465702; 952609032; 187669261; 678667463; 937379334; 655349578; 41813829; 473174119; 750600260; 979345131; 406062982; 884754603; 800616963; 598215418; 672358486; 477694185; 86179939; 526961051; 541989700; 223941133; 359250937; 392125427; 181619185; 870503861; 685565454; 431301204; 334514534; 268456038; 98248982; 451875485; 290492944; 499607938; 854674740; 648606263; 598740156; 477211256; 155020682; 302868056; 207140483; 138633125; 658929923; 631884921; 311758821; 460928872; 131791182; 53335310; 559540138; 994819424; 475745322; 393181644; 829606487; 239769124; 662905965; 585113031; 978814053; 641962504; 464405049; 628921583; 101745000; 874207344; 371388886; 453252949; 456029037; 873458325; 892537860; 603411979; 855613838; 502920570; 838346438; 15437696; 753073362; 644365174; 322463141; 141346544; 14527871; 276469594; 666840280; 759650337; 620631333; 287496652; 852123074; 125920564; 557324973; 677418029; 656191506; 798998440; 209455835; 913064304; 465497406; 895911052; 391951881; 860321034; 646783113; 66189039; 555804336; 343227258; 800171546; 849684073; 430996071; 318349993; 483188840; 587509292; 767872198; 341375158; 541950523; 767793476; 274386856; 100254917; 104727740; 395302263; 449899356; 390843379; 863329313; 842638414; 109103335; 441915923; 990730438; 554759896; 268200411; 839125055; 513600857; 945434841; 251388263; 307273628; 295898667; 945817410; 90936555; 373432336; 108214309; 926053611; 564988946; 669829542; 123543438; 756066419; 260631543; 955870155; 190715; 724104638; 585775255; 213300477; 283216266; 419709842; 975664882; 448612339; 71274640; 27598387; 94291987; 689564862; 548846689; 175983219; 240276252; 290199229; 394538687; 256121787; 143009432; 367438287; 394442563; 717471595; 209714222; 360434935; 759874372; 765051980; 573432365; 810746581; 715663005; 710010712; 2763857; 481831936; 661443686; 95870374; 132516411; 880559774; 768503402; 399817133; 540463548; 844118813; 294850596; 782850195; 689819606; 726316030; 929551008; 544916256; 441345499; 337263069; 942843636; 961349906; 810245984; 409859617; 403634314; 197070363; 636858187; 219616804; 364343620; 272326701; 709793631; 555674260; 596338922; 93668999; 678707424; 105172622; 738240378; 184169336; 7871361; 773418172; 144385151; 559938344; 342624945; 903250965; 980799402; 664392122; 9975315; 117967570; 876600930; 518678823; 887314055; 924462563; 740080433; 347010148; 907877187; 990812087; 876308627; 763008000; 736172163; 122521294; 806475115; 831140680; 274879792; 39869967; 779150239; 232861936; 387763827; 630654987; 884427889; 488325117; 427315126; 694880138; 739844175; 452514992; 956608783; 74956031; 619535825; 487361279; 219641237; 499595949; 299466294; 49004948; 290132491; 171375203; 928768348; 68229757; 288890792; 988466136; 583057039; 984146186; 799107945; 928032089; 894103602; 871292270; 328090417; 211144895; 348212316; 693270394; 977787775; 359111950; 546279142; 332189024; 22152623; 322392025; 175957409; 689972732; 916707147; 735297369; 174035272; 638381075; 447329618; 38039822; 362833245; 778764691; 743706250; 934681343; 191923322; 141578303; 259270111; 566616804; 815187344; 241029196; 154055420; 327307145; 174591000; 727167689; 404140967; 792025457; 829077588; 671289435; 312569320; 835069383; 5447096; 256222080; 416942274; 331572399; 918874728; 987799633; 491290092; 992672333; 939429871; 336987329; 599798227; 751748057; 48623364; 660906491; 483298529; 790604907; 931970346; 384818392; 500389663; 682648397; 687212261; 931635093; 63561014; 647646529; 66429847; 111976858; 604910209; 506679375; 555515669; 123847693; 44492632; 178847708; 946204343; 845354283; 427846975; 690556757; 914308617; 189403235; 36675450; 542238247; 794804663; 577442071; 517924905; 795204990; 501340080; 613354260; 854322902; 571260895; 510260438; 414373757; 959194226; 105045310; 477394368; 72800755; 445731641; 103854338; 841523771; 957791852; 191532511; 961580297; 388877143; 102309775; 428357400; 830081461; 563818151; 866259007; 485835690; 30082297; 948589886; 562392830; 499109369; 58433073; 733283579; 36428328; 742298882; 982643403; 593203780; 144755224; 578059814; 254472399; 22301867; 789998879; 735889165; 918792549; 557462809; 552573722; 576530981; 680153828; 916392479; 646974858; 34567001; 994679482; 9460630; 972487263; 300018493; 640747865; 657751837; 627670811; 587663859; 814605409; 776005740; 344540768; 914442808; 323409866; 565987127; 539745133; 675037315; 450123788; 413095721; 54159360; 368457255; 171562353; 621533236; 59200583; 982705473; 142943196; 24181977; 786801377; 843283079; 40385945; 194742271; 75718708; 644665269; 829591822; 640312514; 509973082; 836543579; 306452012; 813042080; 944898820; 550143784; 62021861; 992978935; 196696601; 710776674; 757759648; 788128770; 508886684; 407131667; 523136459; 620527910; 480558764; 915736219; 812216291; 91417414; 520775627; 949658687; 84409460; 816577062; 384304457; 930699848; 511428540; 836975433; 968245972; 453251047; 921779564; 216048536; 494252696; 254735994; 205744844; 981264789; 990061028; 985782286; 822067443; 316563393; 763292217; 708024504; 693075248; 99141092; 956296872; 55694579; 52732834; 308486669; 557081203; 58042609; 935091786; 601181323; 938701215; 779116109; 989803820; 873890548; 589353904; 723945581; 876703675; 211910418; 896307042; 762777210; 278865821; 110798924; 437579393; 628929110; 829831404; 526410075; 619011952; 978008449; 65222966; 849172173; 144839480; 782970345; 398869366; 641298141; 698001818; 170673426; 345647972; 659858130; 112495963; 432970454; 7230343; 585967399; 715821978; 40623996; 971749782; 842350030; 580042921; 989912562; 166642836; 973760291; 161765884; 782228883; 527819807; 138626752; 850353393; 333606921; 648705625; 47313075; 266982238; 201833381; 308526839; 68814931; 927686741; 262022530; 535614874; 863188936; 616955547; 104202132; 171104622; 331238109; 251912037; 286572272; 573456646; 949203657; 53043725; 806243760; 203265019; 876486006; 948937495; 567449238; 415256129; 988070406; 968023790; 17019473; 248737963; 120681248; 583983950; 153993219; 201935152; 136164457; 829871955; 626291047; 394802246; 260007922; 607931843; 24306224; 28575069; 225321218; 908829358; 169220022; 936512506; 665776761; 704549784; 698417525; 255461139; 163951408; 261229082; 220008280; 348623912; 807148420; 371106186; 366690995; 544609152; 213870993; 408196963; 754669215; 399795747; 559323631; 485832609; 350352952; 721747050; 21631935; 355573914; 206023787; 964425951; 691307920; 159549218; 671420169; 951126219; 634927534; 643582950; 274406843; 632962879; 760518512; 229811483; 390881175; 924757771; 38194303; 293272202; 173491328; 486019127; 734258251; 387215108; 437262928; 728554527; 275024192; 248976244; 343245733; 701258706; 170540138; 465617442; 858198203; 574360296; 946008040; 664094170; 517178634; 693040995; 799594735; 255316661; 449678209; 87199479; 511287441; 125791016; 282384294; 785396986; 457604138; 287610759; 723403051; 10837888; 746035325; 640711757; 995757787; 2202152; 917093046; 577936335; 648767243; 785286990; 635011419; 695112654; 374068143; 14921666; 440382233; 660237890; 526475247; 957351727; 252635667; 812396571; 412310376; 326907154; 30634198; 706007029; 970271608; 580512741; 972748916; 201325968; 314261339; 716665373; 962091777; 486226702; 273466370; 840975366; 599150520; 164993432; 484979571; 418559139; 363203519; 162207943; 208330032; 473511398; 794841071; 171891390; 336414769; 600986238; 936969299; 859143400; 350403043; 292803417; 958133236; 937969576; 384765730; 741217260; 719124565; 511975130; 529929688; 872979520; 413094461; 630884202; 651374826; 857264663; 228977297; 822943843; 77199492; 710743715; 932154071; 658944343; 426960928; 905863513; 849222023; 315065974; 933274562; 40403835; 803059944; 407747168; 714968487; 955036691; 961766212; 307500705; 475154160; 623864479; 399106155; 274460576; 874887932; 936834756; 339899692; 94033093; 512791616; 159687579; 734508020; 867806917; 575669353; 479473359; 574347008; 79762627; 134124861; 471750395; 165249715; 875142716; 792987970; 24874855; 280763719; 405529976; 351781845; 254659557; 344786449; 430895550; 933134790; 249828212; 490208485; 678075790; 434169584; 949903024; 747154630; 302454525; 893883097; 226358666; 752566952; 839129014; 742747936; 33190139; 395772530; 458036737; 292028714; 192074274; 74568408; 403968414; 748157558; 257293201; 281945344; 653838435; 6418166; 891108797; 915633643; 346851287; 238668024; 519068579; 990641799; 785190834; 689000043; 617317650; 214079151; 651673204; 509008143; 739303645; 839388246; 925063421; 921156601; 846270348; 23338925; 77029027; 980991821; 827897533; 469982935; 53943776; 846861414; 697151374; 165612553; 633591435; 796789686; 94826135; 191030409; 643245772; 130417543; 247948564; 119420540; 580850845; 676206991; 72685894; 636684603; 927693599; 49440245; 847822314; 682549684; 556752146; 961680458; 169120186; 531127546; 728504491; 155076752; 472477553; 26185430; 314397086; 593668662; 434302073; 803071656; 166722904; 728113321; 419246569; 823603977; 150361255; 524260741; 503555043; 714625615; 899435873; 935657071; 874663104; 400776830; 362487258; 525738000; 760317843; 548463811; 885266979; 839427412; 433041928; 412050312; 612894997; 821381333; 652561053; 229504992; 846168965; 640505243; 931920981; 276540988; 449906316; 911718584; 415403493; 558731555; 210481417; 997112380; 677146064; 356596017; 440393803; 795920226; 536832024; 380483176; 750339439; 586263421; 998945515; 742636966; 19095687; 544759610; 601077107; 910875650; 945314815; 63859444; 662491110; 300032016; 403559725; 419986460; 776754797; 628474677; 467268624; 829082135; 908578842; 585907583; 789607167; 744806186; 183096567; 761609482; 249420887; 836197476; 253923842; 308179723; 450254095; 243805445; 266396839; 346532591; 905313627; 551598215; 702201115; 726758130; 687676614; 236631803; 640582483; 423115271; 686022811; 633283961; 827195312; 15568263; 353725033; 784509879; 492037019; 149962977; 442760370; 802224471; 84215802; 419503084; 192316496; 71993407; 898152326; 526961975; 549858601; 420927066; 647960203; 952264125; 611390294; 881248879; 420701208; 60215625; 141109577; 140160557; 666087815; 899711095; 497256422; 239930430; 321162812; 247695959; 381869073; 479077357; 90739426; 900726892; 976853294; 956843221; 967708363; 216888022; 867880771; 358897449; 13482112; 922833301; 106553674; 364182536; 125102074; 136642006; 688150639; 908680559; 829094436; 783161410; 568528323; 465539993; 312580456; 995303187; 981020101; 163170974; 610314979; 514265265; 891956656; 534089572; 612165061; 474487037; 420431481; 81497077; 710994339; 499216688; 424426240; 487816844; 567122801; 892902782; 26150520; 808970139; 588523652; 958430586; 105232988; 52316094; 34727794; 987544946; 87835266; 680533528; 263981250; 834389173; 899284767; 953714733; 713657205; 540007592; 214744952; 937463253; 217212870; 326849700; 348041291; 65211132; 267468726; 437899834; 547960261; 634687043; 392830359; 329034061; 362074703; 328208783; 422784216; 932991516; 547859838; 705978615; 566715229; 113056206; 595149478; 241510837; 687025596; 152375504; 236767204; 922545066; 426562337; 764458519; 378479846; 490049868; 837941031; 791007688; 249012139; 383285845; 45636102; 911597607; 203463101; 989067196; 692922359; 203195107; 451818278; 508067011; 342071527; 910130955; 137533350; 352096990; 738630796; 869751449; 86932798; 340287770; 188560444; 307565626; 401961661; 224216713; 621863829; 842680673; 571616418; 735386469; 2994442; 554920496; 363702774; 583077970; 171947489; 823150020; 823902366; 111183003; 398388622; 522257152; 566670610; 788013440; 590697365; 640831838; 39024039; 912499884; 8811370; 62327191; 687633831; 304313578; 981335386; 482320016; 206110601; 332061080; 718366693; 329269658; 164039620; 390897235; 57110029; 241165783; 701173195; 435585244; 587926996; 578277565; 506059373; 823881904; 588590690; 840384877; 75079957; 338120657; 579233837; 539072223; 792473388; 668530066; 291709434; 495383836; 823482821; 358797138; 975488661; 758708968; 925414921; 360134510; 741241064; 37619542; 682589918; 48862538; 570095291; 763958119; 621446693; 354067065; 940041555; 342589058; 638973134; 749428019; 399463367; 889464314; 664903991; 720245045; 306576824; 230806347; 880052144; 629948087; 913718898; 476414358; 697858195; 61381550; 61461081; 859594576; 587650728; 998124639; 306126281; 653894853; 307950863; 14633817; 284023905; 590365765; 545910454; 819049149; 573339380; 646451912; 641630250; 724397922; 708891862; 635458180; 129075787; 767080136; 123487615; 882529405; 675313439; 703226753; 739187981; 853046248; 948038338; 643249244; 768863064; 701097138; 75531109; 102341767; 633534452; 24761866; 736101180; 901665193; 778152980; 460992832; 464506199; 203942172; 559441245; 327089644; 46981070; 890113926; 75116040; 972911787; 675457626; 551810784; 861759921; 656744224; 150777945; 234041263; 870554880; 48222598; 274714785; 922810899; 77014428; 475706068; 136451449; 515841741; 932306844; 653963566; 648096103; 127387380; 324983733; 264651335; 553422746; 527078004; 555777622; 760112411; 813247311; 771462213; 877911242; 904042902; 217633781; 173158697; 584727329; 706707; 610046718; 40515473; 571061819; 293189931; 721063574; 684877919; 593336402; 518410949; 673907818; 514645308; 856952067; 317852271; 563922201; 629861151; 336665376; 506707673; 833158059; 918759307; 728126286; 600815654; 746718612; 530026694; 73916388; 113380899; 485324156; 819072449; 60419600; 317004428; 673267345; 115082905; 650069318; 692402405; 370925640; 260504939; 968442637; 690558453; 719518542; 845572865; 44393154; 656342609; 706521349; 675521812; 920522813; 74338647; 506450328; 303648011; 414981551; 990147473; 903752679; 656120861; 373969947; 460605808; 218197943; 343657869; 801041350; 365256237; 186579864; 363974994; 33095639; 248969511; 596486751; 976626114; 175936801; 398791517; 706523353; 305891304; 324467721; 605883243; 102235086; 670445618; 421578110; 937202171; 861036786; 629395370; 902333728; 851475660; 848159169; 604164741; 546868877; 481435383; 819203296; 92821429; 532217465; 782357409; 639142220; 466790988; 516584104; 61030522; 112368078; 37749876; 701033099; 104647262; 858917270; 999384912; 71321166; 476244126; 830106372; 544502078; 420715197; 460469625; 584895085; 148621123; 385574952; 705794784; 476184414; 22499926; 661112901; 689485482; 740713953; 496915368; 773467369; 659268335; 852433556; 733186459; 679050719; 950680433; 463354019; 838588445; 632758605; 380703242; 443091731; 863618103; 856823436; 715628120; 877256093; 615311867; 183404594; 831364448; 670076213; 283444682; 536917618; 946639188; 474329183; 132762094; 377620255; 20938794; 630938362; 728185366; 654971181; 659659924; 474502329; 399361003; 831846199; 866451000; 528151476; 698318225; 21578227; 13484903; 386393512; 932173833; 159886041; 611743992; 481581898; 821427954; 476051379; 229569326; 40498099; 722860691; 580949579; 188563007; 361986406; 164323131; 855539550; 472627050; 196008803; 448757672; 60147938; 380236897; 342414189; 992665181; 854067633; 537199697; 815002180; 949668564; 995420461; 252792146; 506939191; 588591261; 465239896; 923936433; 459213428; 790016887; 953428129; 198562045; 134433120; 390731329; 237861089; 352207466; 198838063; 650966007; 907524701; 973836631; 194280773; 313362887; 841713715; 741555664; 289571749; 182026438; 676853213; 338403868; 971741892; 599536672; 447400313; 453102960; 388256185; 540775774; 135006146; 832590058; 856498157; 513902142; 748409569; 437107926; 150070716; 197283110; 89733469; 981088839; 287384371; 890684329; 503581152; 112951890; 386935; 223185113; 820225465; 180025191; 261169410; 498382002; 882687321; 406839741; 902823003; 224733556; 624419782; 921001849; 924363120; 371344149; 384057924; 107488408; 817392123; 560377711; 150550232; 727251767; 484686273; 795929620; 97335536; 690323329; 399346394; 651586337; 100114919; 189352689; 403674965; 778330339; 955315906; 458162032; 88324999; 914924605; 543829871; 640807812; 422743119; 724498518; 64719281; 858268302; 422233699; 462267402; 988865491; 687690797; 113871494; 423064530; 972072447; 43486560; 278071456; 984831690; 818741308; 82364960; 502040092; 729686853; 617882051; 628893994; 233796161; 558171484; 443469250; 915910912; 872876582; 206772666; 966593565; 306375982; 989755171; 176775937; 225837963; 77474066; 948191818; 117085995; 173420583; 476397306; 912878478; 521710220; 132154911; 577540016; 747417741; 748470411; 103087652; 775127361; 622349710; 851280213; 310066490; 674759422; 166691120; 652824521; 449089140; 468357719; 969748336; 380534571; 807099450; 296158404; 220916255; 823203704; 944496576; 521983178; 956426189; 998398177; 617619846; 156418679; 93712391; 362638936; 753430600; 26038008; 466165272; 328264083; 384970500; 819703612; 373541233; 722749887; 584543402; 411704180; 165278640; 306712970; 481492020; 14792935; 994039037; 778079817; 10797187; 299941497; 135937569; 23554048; 624234941; 44403889; 594511540; 778366993; 341523603; 505308650; 439021223; 403041835; 672153445; 758973978; 449806207; 496684321; 645325154; 351693378; 596645329; 313193861; 664630058; 714591689; 600853143; 815744859; 113013761; 919272573; 801116015; 665991004; 517341576; 985084526; 809821486; 282384491; 58315628; 330791718; 428356156; 814152980; 868066649; 531323996; 23821439; 675287952; 273833187; 389878180; 946274035; 291083151; 333883021; 186152604; 573417850; 808374986; 775059355; 799597656; 819308879; 996826153; 806820696; 54120541; 635740259; 357873666; 545269632; 605499640; 671166872; 461812857; 114856031; 133484564; 206773696; 836706678; 342845268; 414529581; 897124006; 816038766; 646947121; 945231149; 816991153; 892650799; 47249382; 162285210; 95957867; 767761183; 993420812; 635432003; 323889691; 450636372; 388490735; 62915124; 203797467; 614608242; 619663878; 968085565; 995891825; 490866337; 15929608; 122271888; 795415673; 356177681; 784433321; 570130425; 702662225; 122958230; 819513736; 35730060; 894722321; 975275319; 763543796; 850828039; 334775150; 492257525; 959334232; 237013909; 305682828; 156520940; 35991473; 66198886; 281137634; 969016320; 782453162; 343968108; 243713420; 374114407; 516562255; 352288841; 666834571; 85608581; 803140843; 242398302; 31688794; 804221635; 361036875; 249129344; 993671805; 609750962; 446212271; 485951259; 985671232; 577935586; 862199000; 632148540; 279508034; 721746014; 237200564; 652212722; 87685516; 25143314; 398122225; 66972651; 491896791; 220593876; 539336501; 663497910; 526153292; 269715156; 495593716; 42621373; 855786274; 90687105; 780527801; 27806373; 438172694; 301675144; 208317744; 817116931; 752722689; 429310674; 258181958; 768977567; 283628015; 351072331; 544837875; 760515204; 331136661; 938022905; 429787769; 48229663; 438247536; 589444452; 904963613; 822375608; 920165216; 510679307; 129785810; 628752487; 304822709; 647592754; 54721439; 970901985; 654793480; 677833424; 928274087; 187702904; 564833637; 753722930; 537256772; 914386439; 564632792; 806678587; 218615742; 712809008; 18456551; 606560007; 652254524; 362382103; 225610908; 45108532; 149382676; 311793692; 449915414; 460217855; 404116920; 979543882; 158669251; 874690777; 844661936; 365098734; 684341563; 849928485; 221425130; 759669828; 361040617; 762331829; 657807221; 960325681; 988574631; 90801365; 177369198; 847767572; 246623445; 838601621; 930521264; 119407793; 593388444; 489313410; 448574489; 349496338; 476886260; 204618925; 798812712; 948800524; 982903132; 817607822; 122145922; 939011800; 761150305; 768746374; 904255629; 377328698; 861067152; 565840120; 814080805; 846197143; 100070009; 115121747; 4794494; 437869142; 125923431; 909143679; 215445248; 996053455; 714906352; 113136051; 344378635; 897365626; 112980894; 912468444; 512974104; 790273993; 820982727; 149344919; 860445130; 603826364; 17524662; 71617417; 668881656; 691324148; 317772586; 989487738; 761531163; 573906794; 283745905; 843418579; 855624374; 80911880; 579115416; 723709971; 761375577; 227640224; 806909587; 198799948; 429370687; 416547153; 704520613; 522049522; 388032450; 878629882; 405575040; 389638498; 435374108; 95257077; 232218936; 186557331; 384518599; 722751421; 451478752; 987891555; 411215134; 319701476; 626044609; 929851570; 696956615; 593719023; 165631373; 31113609; 277772666; 384098694; 681146999; 60579862; 27969567; 199669819; 945161475; 463130709; 536779528; 9918650; 452184757; 343552320; 328368690; 172775376; 534360189; 518240281; 222148990; 168915281; 22111349; 54850381; 268094778; 721281870; 373897306; 674275086; 231091274; 985059674; 708807550; 465793647; 252820800; 995408259; 144243848; 787001796; 142889231; 920236296; 541023273; 827037954; 725236611; 702586499; 458556832; 214444598; 177376678; 688758570; 889195801; 325250553; 494992; 335245354; 663800100; 553846389; 713664205; 40795768; 713040466; 352133193; 257962983; 435161560; 540558180; 148467171; 824899859; 591623284; 287770878; 844592551; 597840141; 756672696; 125161684; 77625643; 727733629; 677401932; 977002146; 475075822; 547839372; 487390404; 359103874; 820885348; 573672410; 959547848; 964485433; 755110607; 391081756; 414992551; 225702950; 87427772; 754353808; 549197043; 810235068; 994782119; 700626406; 727978273; 728394893; 66314870; 678146814; 864057926; 319734341; 972070207; 114557696; 30985117; 643142626; 697571160; 404360373; 999781036; 451921543; 196494961; 121389722; 583451070; 361961662; 550465955; 499291816; 763327108; 400808047; 242921605; 872574074; 228589764; 438866545; 753842; 226530700; 286017299; 956966107; 569283358; 952846502; 9105751; 368453422; 299372519; 261041244; 878080173; 773411448; 314011997; 852671694; 657067561; 401471727; 704111140; 645487496; 996917309; 851595852; 114532715; 940287214; 5412057; 176538797; 182618370; 354439696; 170946495; 210228363; 789932920; 724540540; 875873137; 991543791; 59365427; 957541799; 595436325; 595178129; 646449991; 999135056; 755600978; 466862105; 521342747; 622443129; 963403392; 332147557; 629948104; 287601044; 472243910; 751373365; 589991470; 770609168; 255927480; 242694466; 705231654; 926559103; 417379338; 745872627; 985551716; 587685809; 309817047; 574440066; 955196538; 684384664; 535745911; 3869235; 65638140; 766068824; 127804175; 998406814; 416767052; 623676990; 802239553; 623707060; 854335206; 755612068; 314706117; 430011066; 80602555; 667295792; 39906305; 654638183; 860533618; 461805653; 570673212; 97563302; 144850872; 712722693; 654225117; 395554701; 110128394; 143624490; 592734389; 985680928; 297547688; 940039435; 140966669; 837116361; 123340973; 905986838; 512456135; 49845206; 938100224; 83103860; 755892854; 683031408; 482697864; 883298326; 223001629; 334618454; 723478739; 226763291; 810665668; 664403323; 61829583; 602190449; 298713246; 927340639; 253523770; 653593048; 18338981; 671532829; 810477206; 51578726; 366403504; 635890108; 586673215; 883907689; 446026920; 82860574; 858344365; 617077824; 281208964; 146278779; 703798050; 436195336; 917055911; 773032465; 40973761; 233941271; 176759421; 977889077; 803613325; 622223644; 729276593; 985427806; 538269071; 854683567; 946551100; 656628143; 686292560; 907040331; 829731296; 437748484; 973992568; 141824555; 794335140; 827409377; 294099587; 386553357; 232856843; 950893595; 882814603; 143094950; 196402292; 195292356; 154475156; 415621172; 337788857; 757532708; 836286159; 327559762; 398027270; 93946094; 592488156; 933427054; 376944623; 214478089; 814816713; 651659755; 540363005; 735017108; 630485858; 743448954; 518071660; 308072573; 384779151; 270179497; 368075025; 777609333; 259367444; 192071033; 852146396; 527426831; 686352; 910339518; 768960781; 458014174; 873725932; 821371367; 961874001; 323862525; 599315539; 976190282; 244224318; 562162857; 390681672; 903476493; 973667245; 747892227; 344239338; 598342065; 181720354; 660719179; 853341242; 721247596; 817576524; 646629034; 369969766; 275490552; 542983348; 391694266; 312587840; 577918652; 483013297; 222577962; 246050625; 550021767; 631983411; 124676445; 403831237; 30431663; 202772267; 383986644; 418308562; 537984796; 639572477; 981804859; 122946880; 661104476; 795495545; 153912772; 531381974; 718905464; 268540152; 562579601; 702517233; 236615789; 593694061; 842220953; 284363147; 445436719; 189572020; 130567489; 134639331; 345543873; 973394064; 165956637; 278797541; 384444102; 217315862; 83807333; 326981675; 484164694; 80165886; 511387076; 750879124; 622351447; 57149934; 572776425; 851344389; 492686069; 764158670; 100337843; 811227648; 367243272; 849258581; 402510371; 4923888; 214958230; 981713433; 833733153; 199881005; 141725982; 930995332; 60004419; 858554703; 787094236; 781794052; 237227928; 225466738; 427926591; 482129408; 443739531; 43355532; 337453283; 804945489; 2491058; 249849165; 398913822; 467791624; 400509065; 459581367; 962990925; 690989829; 364169054; 895165168; 532778156; 662061056; 198905049; 304037144; 462461953; 579239787; 826514406; 298104478; 400743947; 996545477; 389017394; 156585037; 231349437; 894406530; 699143037; 281860178; 240625350; 658017814; 183144767; 37835281; 982306868; 823892625; 538353285; 22085152; 540260334; 122756032; 939637118; 661357847; 152499782; 652415242; 711829352; 160895697; 833299055; 380043790; 61047311; 455280624; 427003562; 127377627; 263371423; 352265402; 555370632; 3342546; 546515490; 915170071; 320970482; 309331195; 866003123; 445329210; 239760193; 270145790; 262699349; 109063579; 293605958; 28028742; 43108044; 714531802; 292831882; 5258158; 960578706; 174313495; 50686647; 38306937; 263794623; 34698030; 545961364; 417771782; 432359561; 595953435; 385752188; 548660554; 285702298; 673161030; 608012755; 205230966; 498956144; 368135075; 216958840; 446938231; 568591358; 331547128; 559376318; 68611527; 665301170; 34844435; 516892973; 845043683; 240248260; 401307982; 567153471; 960405747; 153609039; 857419861; 118309051; 547682379; 648148426; 991952539; 882545773; 184061399; 999070781; 765982521; 267411076; 419502384; 124165446; 224058051; 857998522; 14496073; 264213459; 986820692; 570282129; 211753213; 245597268; 930143204; 774551498; 514652876; 925073693; 921086628; 640773887; 73060225; 529715420; 40958571; 366734118; 683946677; 432313285; 992760200; 784693488; 930677383; 619151604; 805284759; 457772432; 592456091; 485100032; 955898868; 391900453; 219676832; 562759638; 430856434; 967077015; 421103699; 992963917; 110482359; 777569921; 470580703; 460032189; 233271275; 82572015; 650552543; 189372307; 550063160; 647746980; 236384115; 179347295; 402139142; 159629222; 273418934; 139601570; 639676421; 652064016; 84453428; 465043456; 114055612; 584001438; 882590566; 676394963; 483216179; 745966194; 825327985; 985623490; 306947409; 409524159; 138263163; 64619898; 417338433; 406408681; 176380047; 442151325; 151506186; 149746198; 474173500; 102746034; 226566556; 996627825; 966584070; 365471770; 849933266; 413800255; 598244754; 126970922; 185758186; 706461626; 401986302; 678089530; 630918032; 620166883; 400240225; 221398836; 433075871; 195422184; 666716900; 602329513; 751455164; 227663599; 121331035; 46276718; 596554704; 50099848; 554281974; 271420442; 500849468; 661363368; 634675694; 460763583; 913662985; 991783536; 333018579; 731640294; 559230455; 999669244; 758691851; 593952435; 511148631; 493139256; 94739801; 638739681; 281785165; 660608903; 886479304; 978275634; 683136324; 434348291; 724037738; 886238552; 683542926; 3901775; 770688715; 985889474; 744394045; 687499632; 112022925; 709757837; 808444152; 388990657; 414047616; 771749579; 40009897; 498367058; 958240729; 510152993; 969036435; 944212125; 311926042; 395130471; 761896151; 180718861; 980058142; 562067677; 69013272; 789419877; 169030287; 934204461; 315969032; 819974762; 550314188; 144251778; 822839592; 632707453; 420496940; 348080391; 772142856; 290303779; 943238844; 849751516; 485101918; 860570586; 469092857; 46109389; 874054586; 699654764; 761626656; 568016869; 600632192; 355393880; 762871144; 90723412; 421396573; 821959691; 688529170; 1176013; 636078683; 112883067; 320579043; 381618296; 65758063; 25110816; 490864813; 386913272; 267005790; 562375298; 289107207; 762698447; 434785338; 856447011; 259157584; 270443820; 38413935; 900862060; 219634624; 624575829; 287227775; 972836461; 345965740; 122320627; 994577485; 892542517; 410959298; 971836054; 585178827; 117477242; 84885627; 212011083; 294328681; 180829844; 579330251; 12516062; 70827964; 248185109; 531725514; 74432849; 906905354; 514687983; 780610483; 153238624; 849709297; 946298535; 53595615; 745693607; 804622002; 54756627; 43445771; 681610311; 38927291; 250831651; 92816901; 208539633; 621293214; 38923469; 40014046; 94843065; 835306181; 420634293; 34189616; 137708148; 520134747; 933145517; 831535807; 123049281; 651596986; 290989476; 517207984; 479116597; 81926487; 304904974; 813467686; 898725379; 136962177; 297897895; 269825097; 250849752; 841034435; 52275124; 410518997; 430127781; 228071649; 857447845; 538068858; 870164542; 486173353; 408732220; 508445817; 690253051; 460612092; 861451465; 825936684; 792543852; 33860420; 246938348; 74650582; 274397244; 779003226; 47608585; 373548413; 729452187; 450947645; 64419561; 570761831; 893669977; 512129496; 560247894; 157216026; 460511522; 286346537; 125211998; 68607530; 453266903; 322374612; 609662657; 941008795; 447510415; 622127857; 232525273; 271107278; 146650050; 798543450; 199014443; 378559878; 2556259; 485621987; 525607726; 982004596; 891950318; 691909166; 986595406; 477928614; 879722556; 343044273; 843756926; 934192441; 734762611; 451061712; 218968049; 164305574; 360301957; 346527467; 3541627; 831749710; 554744489; 863022260; 469664021; 195610995; 716813815; 468569610; 505213642; 891866880; 497163608; 516967543; 663054584; 17592232; 266839037; 75364631; 640890895; 42432106; 400458258; 50573085; 635496654; 987670980; 54635066; 106795671; 287172203; 407075415; 987319132; 14555118; 364617675; 762036431; 130174471; 746255821; 523371353; 192952137; 917919583; 592421069; 260621830; 727676083; 718418651; 478613439; 341651556; 32387074; 33993304; 670410400; 778137207; 816385576; 779768161; 348218763; 558107106; 377331256; 348076380; 463754910; 968312238; 623691316; 843438135; 192144111; 263062791; 8396254; 188375947; 268693563; 655663148; 980204049; 662748233; 886987069; 500848743; 127991937; 90328199; 655925105; 802214454; 551894196; 338525449; 272553358; 89074570; 403690229; 750680529; 963767653; 348220040; 992991157; 481705836; 368971410; 520848735; 487146815; 200981416; 473334755; 102479729; 150311732; 733699420; 994750700; 701747533; 176834944; 953437533; 290193853; 770726758; 323588193; 875700073; 247099866; 94618591; 244764061; 295905921; 730670025; 438770849; 646314144; 167970305; 672538052; 707512052; 247123584; 608636102; 66828623; 932791585; 697725469; 739802925; 417783928; 530322736; 689774871; 936311568; 241103937; 3521906; 943169413; 818582953; 441718464; 736967953; 32964558; 876680770; 571792946; 877812978; 298006531; 946872519; 818601383; 397880826; 306917487; 974441601; 417490162; 596268138; 550148939; 728347200; 525715189; 252588339; 159300732; 908036027; 485683162; 319262407; 650688839; 444978653; 675148744; 663825138; 595867279; 601918782; 509387871; 387643530; 252143331; 175342659; 369316536; 955448187; 468611249; 827371036; 106674969; 792723706; 921717691; 261315152; 438355800; 536649863; 118600045; 580022577; 837980446; 915027864; 488953072; 166942234; 121702104; 282827493; 33811094; 264601835; 697395753; 758331025; 460562419; 661776659; 603126663; 135508693; 18070721; 816161078; 43800422; 745569448; 297127530; 252617221; 409557014; 504670446; 880394325; 819534188; 449546171; 669337584; 820619341; 184891006; 809311187; 159490172; 934081215; 471144905; 917871470; 383249098; 767639231; 501804806; 867699982; 97482663; 991894058; 502902913; 457924233; 235772728; 120059640; 471404572; 418640164; 796749337; 884715396; 373490539; 315204547; 875694208; 882820176; 571585124; 795112399; 899878622; 950346063; 734371932; 435264627; 823235001; 764596698; 944984736; 724990926; 518324522; 208374588; 143958253; 295957868; 997607882; 622113846; 89409853; 324426646; 526812725; 887937857; 9242879; 868877127; 391738492; 565950121; 291059769; 922024566; 415464520; 551954645; 807666712; 413521823; 228025840; 526452536; 562960385; 906565819; 803103892; 666267790; 929723599; 976953569; 111074976; 429420284; 837161900; 312739976; 12447175; 74041168; 687543860; 633979864; 846578667; 450391738; 107315174; 233237385; 80426975; 311773273; 590603851; 162972060; 912706750; 517798952; 720431751; 591764198; 798839458; 370700607; 636758625; 651751707; 725876751; 831139589; 202094277; 352227371; 743385763; 493988052; 891721329; 313094736; 198719551; 84095382; 208912988; 157142055; 466731154; 963034302; 665968701; 316810614; 199275182; 934727791; 797407116; 257650561; 416314489; 631506157; 614898732; 691145005; 586859638; 836139692; 409334067; 887604882; 531412748; 431268935; 722847932; 870789722; 625150397; 767377140; 784795644; 342128836; 241530187; 112350823; 769080106; 353760448; 53585152; 319520015; 642906548; 3268567; 616176553; 565160808; 238703460; 945973409; 193817389; 652493598; 388666686; 122337561; 530505008; 556664850; 451765895; 612451766; 564998699; 980721121; 670499449; 486266383; 685585232; 983390550; 515573142; 723486808; 429971424; 186489493; 900915107; 446162002; 44195415; 721458526; 419382420; 38472364; 833236265; 742693020; 152289252; 788193186; 158534880; 709857716; 749692283; 838669423; 246931602; 432779306; 452892037; 379150706; 932674412; 834895791; 63823237; 971883606; 19950235; 125686603; 184080153; 771784856; 931889805; 910272493; 91086825; 672174521; 129873723; 120628653; 153232096; 421582024; 134854291; 857585432; 791909848; 886973026; 684807308; 522339755; 27019515; 120986756; 93938277; 394714582; 137916484; 545632001; 416067371; 955901998; 737197454; 276881529; 200880494; 200210786; 201382939; 88603172; 968466280; 946719592; 852109140; 170208850; 618661849; 808755398; 93699019; 472965026; 666049850; 864672953; 202150658; 146219364; 529903725; 694968427; 774710888; 695690527; 975561063; 543791842; 712420773; 339634466; 412937220; 445125911; 816632838; 180353024; 794988472; 272128307; 558280784; 685474672; 794226082; 308420646; 161604439; 664740149; 57270111; 671706433; 403836511; 690809050; 639963225; 257216895; 967186256; 877003452; 33371717; 678943845; 205349068; 204266438; 113014077; 311831096; 271180892; 230863634; 834664394; 189741775; 225454859; 701649003; 28558475; 46024313; 129103814; 927831952; 336871941; 268368470; 534710260; 98266561; 860456173; 58303246; 713763110; 545122597; 304308805; 377925326; 967056249; 24270457; 492144901; 963185690; 575042937; 676016448; 572412148; 127449999; 942812609; 464498389; 686975585; 634310698; 726970388; 223304640; 392076644; 37436532; 999577952; 433596510; 450893746; 41594508; 938064667; 162362543; 180567918; 330826407; 831883855; 872498659; 905374879; 234314456; 1690028; 932882230; 813821405; 897120941; 610312780; 153021946; 394075752; 564315820; 217724865; 645556053; 201955868; 432667550; 625254382; 100396400; 407275555; 159267747; 266617410; 505037638; 187305277; 421879283; 329845624; 845971555; 932712123; 794330869; 280222316; 993534372; 15709157; 410064240; 45223373; 130810233; 181848167; 972495506; 855473340; 184899409; 276596449; 361359373; 197311659; 929170490; 154515025; 612426231; 706645594; 716582270; 212234101; 949264455; 246580819; 472303767; 387761508; 438163293; 373034005; 752732522; 676156721; 770717256; 282166512; 414653065; 239175977; 947929162; 31315205; 632910563; 918021486; 449701935; 732284512; 705089200; 410280868; 567651668; 499123066; 623183068; 648501761; 7725981; 697760836; 680474976; 267185913; 86724888; 595682747; 326720240; 338784224; 643186769; 894638394; 779067952; 518106609; 652334385; 45367437; 306138260; 754313117; 882783693; 856647229; 996142913; 928719098; 582462674; 770351642; 48025526; 268455896; 901856644; 987586738; 311824759; 868528826; 43557545; 243134916; 901640220; 29174898; 495498466; 364574572; 124758335; 7676108; 588380837; 686922015; 732555383; 474906951; 983070077; 559261369; 377986296; 225211041; 525653320; 220795793; 39190849; 938714152; 100850287; 532570449; 184165016; 274486516; 606523033; 39713904; 618708245; 472665290; 62905052; 922767035; 649502393; 125297053; 88722436; 316629164; 16682629; 263267114; 276770014; 295062126; 379134026; 560665854; 690349664; 489001678; 67937508; 314009954; 463869681; 769704707; 312100972; 543248859; 148302438; 686338912; 217231154; 109690457; 357692698; 480765785; 779119801; 613561320; 451754302; 228132163; 221412586; 121589493; 847573833; 866828181; 556242893; 712003522; 474446048; 70029459; 165874727; 774201826; 245574651; 809070706; 13008546; 695215898; 683067125; 763593209; 764710607; 489313451; 796268962; 196597499; 251558476; 51341986; 740910897; 873204250; 249131287; 667507174; 786856346; 604474983; 942253712; 837743906; 713990862; 668204701; 705857922; 899556484; 481658146; 954306340; 462799196; 408862387; 314726495; 429050331; 807263256; 468763545; 204361148; 508259725; 671412127; 615761930; 877899480; 970615258; 227853658; 753566040; 610081705; 645749538; 462300112; 681249544; 275807651; 479644612; 48748794; 24844886; 895940714; 433970387; 687222785; 124592386; 565405950; 456695031; 626509407; 18150260; 284511170; 37810205; 934391563; 423893106; 960097671; 584923487; 188729211; 950909944; 837558087; 327692653; 858304808; 400231520; 475217469; 677530166; 155821128; 942491270; 16444835; 479988130; 558363586; 189198735; 751679344; 858475479; 902405036; 217947462; 465251689; 761568755; 747427843; 460037280; 183235588; 318795864; 362667376; 572179478; 744213751; 978238392; 940658530; 403486194; 109213485; 829453427; 20394071; 901216926; 681821836; 953926582; 13300776; 10681424; 755248434; 242720529; 686708382; 382546355; 636177389; 728025130; 862204907; 846166989; 976762670; 682555094; 815289826; 908553720; 827180134; 582985652; 494652516; 723567369; 630844740; 430517347; 751647587; 440188199; 777122922; 571440430; 838592354; 653873765; 136228969; 203934228; 635274763; 63272117; 969045804; 812242788; 314170822; 861884924; 893357962; 727143427; 336358730; 318791986; 617264357; 386186885; 102880216; 140639030; 897868620; 890232980; 209394415; 230074373; 505083221; 238948881; 208252468; 975355388; 98368664; 95480383; 611957140; 755038565; 112340234; 107372298; 282964981; 59454795; 881044741; 467207094; 409453124; 56606141; 651896222; 718951682; 326917272; 146368147; 482080110; 885369886; 471896742; 925897479; 686605303; 735037199; 559209066; 332676394; 229659200; 400785554; 552179900; 821141865; 448169209; 570112747; 339462652; 188532255; 561273645; 744969872; 380669713; 672318286; 146690548; 91741325; 380885031; 977518244; 825548322; 616080575; 559251848; 586438587; 775199138; 435295099; 319868821; 613649805; 849405103; 114212011; 355672673; 964248912; 620258708; 471262175; 954996483; 960138710; 688094520; 775210168; 696492812; 57686194; 110404064; 442305718; 83428432; 502177232; 935689106; 581167159; 78504597; 624937500; 730342428; 755428666; 100159332; 604288964; 968216276; 385884642; 868759727; 383356248; 345206870; 36814550; 277183278; 583804276; 616420055; 775059128; 847835043; 139488823; 580987814; 652493418; 696486925; 478440735; 360700735; 595793307; 181137332; 563852413; 267774103; 825120992; 214720247; 5318311; 524436263; 461688175; 913288165; 980742124; 147904858; 561681453; 401165469; 355073056; 125008541; 321218820; 15908594; 423015611; 659907261; 740488558; 196570463; 380714533; 22107340; 205233727; 479035013; 278836630; 536593570; 267994686; 368908909; 396765180; 711518235; 857313996; 59356538; 731472739; 519640328; 959942868; 408844447; 254480486; 968014610; 484256446; 545374673; 136703931; 30669465; 5655597; 303716087; 819891267; 319826206; 439503712; 447309052; 433973195; 197247272; 226285280; 178649181; 682763048; 702168261; 592791496; 69055537; 879816207; 422873596; 64957935; 606980159; 720596994; 782342545; 14625896; 607151750; 602873833; 539892258; 950208134; 835865482; 4447765; 423035275; 775139035; 151728578; 315317838; 16898165; 844024823; 372920263; 905799025; 273008680; 874673976; 176402825; 163833626; 544752903; 357546787; 806690655; 478831369; 158403968; 470499899; 762579643; 745619967; 533962789; 987236412; 645546035; 646352823; 289185650; 651287169; 766274199; 643506546; 611287705; 59352029; 944461980; 309643678; 734119328; 347146702; 590550647; 60749610; 158714924; 580457711; 333714420; 856518404; 464755333; 895477869; 663289463; 895396732; 501001558; 85266375; 379875325; 298463576; 755399790; 244318525; 580187875; 7199134; 183290209; 962292727; 992089208; 134538998; 200683816; 645861912; 865923905; 78535994; 281937871; 173574170; 398454248; 860958422; 637437768; 624320127; 20126064; 658493639; 765097934; 57137425; 683783651; 679414790; 297471854; 341076940; 956229375; 629961940; 847381884; 399607287; 599601074; 43833924; 42150779; 208563553; 610307813; 98659168; 933330881; 898833570; 997420634; 389224083; 884233642; 872788184; 238451280; 470201872; 770043293; 371300959; 295112562; 891370563; 728976045; 995191024; 320882776; 194398767; 292269689; 117112992; 678423562; 487333118; 95765960; 190009770; 348993691; 260041689; 699134365; 471678793; 342999415; 122737384; 894844054; 653383246; 337290883; 3065964; 237673342; 157268126; 708047007; 773257874; 562216848; 683285690; 986336100; 535889424; 26985864; 872837416; 272284351; 460016280; 185858984; 429584916; 585603286; 581305222; 133472310; 681119877; 246471283; 403621953; 846844353; 781549352; 187546341; 879255202; 452058691; 569854191; 27063255; 487457855; 641487822; 9225698; 449451784; 307541033; 708160509; 745471212; 861208075; 768232471; 167953326; 233360853; 175217320; 437741600; 99932833; 330317052; 90319782; 20707655; 372037950; 176977836; 585825723; 196646106; 137246156; 112941997; 740407981; 790528804; 522747088; 291174166; 390972587; 615610314; 484877548; 217550936; 897262751; 191692754; 760104027; 257288794; 509702830; 507258890; 132814310; 196376917; 663851522; 852213852; 419901023; 949985895; 22477927; 231685824; 567728211; 214503116; 194357603; 790071354; 792416044; 749560886; 210263952; 660997683; 840210728; 793519616; 354485711; 198716207; 194504322; 454804011; 77875936; 344367387; 225936631; 69006046; 610655039; 878431516; 721522978; 393191837; 873482784; 316248801; 993193659; 712431810; 558637298; 863284362; 355851112; 99164405; 672089354; 838002714; 239147862; 418511889; 329898526; 683759881; 128348574; 531006072; 721437774; 565902759; 111930463; 902260402; 386917368; 197682330; 334218947; 923375749; 638396654; 202030766; 802341545; 260902797; 743865100; 900054634; 537211025; 629316524; 85982149; 436084541; 687383101; 352705514; 593182780; 335298662; 15149435; 892675868; 706853099; 818082592; 834324972; 222456075; 168148103; 249865195; 855199946; 654598886; 304808561; 483756325; 575073647; 424156165; 923837106; 423847277; 333883018; 702480469; 960381536; 832561886; 374187823; 361017231; 790998837; 285740862; 139184071; 860486939; 853034367; 945175819; 62072175; 300620109; 744503867; 89484259; 503897498; 392232511; 232649891; 713272552; 279424593; 531796026; 217130314; 157248173; 712937081; 488342488; 37423682; 343881772; 536638416; 377484952; 858221762; 849246978; 487246932; 660743520; 18719792; 556132483; 801771864; 719160610; 662869582; 97364353; 807212759; 256972176; 26517698; 494417720; 424395535; 128579660; 221917257; 544474030; 282443565; 92252792; 986956661; 337155475; 858532998; 80484372; 528893305; 801294870; 60291982; 952617324; 996827571; 998796880; 944318572; 544525289; 578532461; 534988074; 875565775; 53838220; 140211625; 107183450; 816591767; 603876683; 23032991; 295109360; 301241956; 301107275; 550180524; 154912203; 387673283; 696800161; 131789624; 254069311; 550567955; 276436431; 174419605; 451616086; 950905114; 320452390; 683127737; 502708025; 54655819; 501388054; 62097464; 997857814; 696144975; 601832532; 674328002; 848908953; 530998785; 220440588; 872179573; 223939703; 920777017; 98883482; 199656749; 30792653; 731069901; 30580567; 864687202; 558637068; 710655356; 445225062; 521512996; 272215571; 339211861; 424528489; 295805899; 787292624; 282381961; 31005678; 570001074; 790144579; 306735478; 794192860; 752403826; 318150678; 386197008; 44299858; 529050008; 378611591; 8127356; 314513246; 825567852; 701950378; 959176235; 745827370; 991532702; 703676246; 31449349; 440613326; 569650908; 421253867; 401404122; 677135028; 353940298; 286282797; 385144711; 113314322; 107693898; 663756440; 162887284; 796379634; 505838938; 887422847; 551430538; 654300439; 991944488; 348259568; 395360717; 120445308; 599324553; 714793921; 77976707; 82491505; 144466254; 278543027; 124850295; 424510953; 777841441; 234539617; 341744986; 260977580; 195489659; 548757014; 723300495; 808871041; 643772040; 759943485; 893363058; 676270748; 926949219; 351295457; 766188765; 865150097; 347551611; 592112698; 558051016; 613151238; 95014958; 105832930; 769922352; 563460614; 756803588; 505083261; 925562586; 270967336; 832275163; 232597928; 241968392; 389513882; 81294937; 415376924; 935884559; 755640816; 504224487; 230526568; 200155956; 389380601; 611716464; 44801050; 146401806; 691000590; 887692342; 151711747; 99583145; 151089993; 761019296; 954702920; 702524054; 974558440; 556367325; 909849264; 345500154; 819320046; 266417474; 59530039; 373581039; 191485717; 820612413; 667427691; 224616580; 12840638; 264796352; 696256056; 253655424; 675863721; 103722785; 671047034; 319653155; 768223028; 642636814; 614637776; 106856282; 354474186; 886530582; 308449101; 513516428; 174577269; 740770924; 727773892; 192088924; 827403631; 924325387; 251267394; 627566030; 939882816; 835337507; 173526786; 953499757; 917390368; 950240045; 272723423; 843924938; 51552042; 825388908; 779707273; 352288039; 934433876; 418755913; 967180594; 953770786; 210859924; 349186812; 458179482; 100305747; 101547526; 775531664; 253793745; 564356228; 285230071; 593983199; 983301497; 499052724; 627185405; 986198050; 857412383; 992512664; 393174002; 543514663; 837798460; 248081279; 519176381; 371406007; 328927014; 840728318; 123081289; 274976193; 423840560; 2225477; 668820258; 305842183; 695351429; 112293993; 499483595; 428203836; 186037180; 290944764; 415356981; 94398010; 689781729; 770573549; 287419102; 405682794; 243540918; 472328033; 70035397; 780358734; 718273097; 598779918; 16043589; 973632690; 619250067; 833240826; 552237187; 93137254; 602291945; 787007210; 302663075; 154667191; 537908167; 198757782; 58587313; 735833574; 128224406; 112673785; 478561052; 266070427; 877026739; 542489264; 204227384; 821471097; 207778079; 997498763; 151231557; 927081060; 920473677; 365094269; 159532403; 434861685; 858054751; 323886309; 394434268; 49901571; 86001227; 74483994; 957369807; 188220023; 22459593; 216251751; 6658931; 862942417; 850172338; 291662443; 782326732; 834271756; 967533368; 601019018; 879880125; 637821937; 690373524; 221616164; 877063910; 781008972; 881229426; 917225031; 929404585; 96064546; 488648881; 671720685; 670741475; 462408108; 60817248; 257836222; 262358412; 591677625; 338222755; 161975451; 140110473; 263721016; 750588170; 333791301; 180150838; 586775840; 339779166; 418113408; 955375821; 410677758; 616030933; 967511492; 587070885; 648306063; 339107222; 926805547; 891284989; 799854258; 106780076; 582094959; 713936385; 655903800; 903964777; 51968587; 142320192; 71501772; 25805228; 23056306; 574052113; 143440083; 497745452; 998843550; 79828138; 26412418; 58230957; 690619599; 297032095; 51729757; 661753912; 648827504; 336390232; 230257090; 400036906; 947862198; 876258686; 135133770; 590618895; 119987411; 864626764; 107612666; 978515591; 754766987; 672225591; 94639628; 170910703; 244342265; 414447081; 210003734; 643354269; 582992249; 390505883; 251252369; 620310440; 273701060; 164898093; 714983766; 743954156; 278750153; 855718465; 519085776; 735107401; 471562590; 712753569; 560107498; 707971694; 336113812; 298157748; 301584153; 427069770; 44953005; 652364548; 658951932; 357659605; 721413358; 32108926; 115618048; 574373670; 920897616; 220954639; 31942913; 189336255; 774069051; 252050459; 339989221; 236572258; 663541465; 859364263; 633690439; 381782640; 748898259; 173726746; 412451028; 192222001; 326106306; 722802391; 102167411; 781395059; 550993423; 553777713; 363608429; 281876836; 43467319; 778748756; 725914308; 776129343; 755860080; 678279456; 976874720; 565872094; 141999997; 250519009; 441586558; 500983751; 749803394; 63556107; 22738804; 309858397; 15358229; 358981331; 633657724; 440726909; 28431541; 657422571; 592330081; 572637125; 482291682; 9360301; 872346107; 743341423; 87379793; 322839812; 668409060; 236584975; 907718373; 711291879; 481224321; 958172333; 197220472; 695947102; 52791705; 730262568; 254185580; 386864563; 653577178; 113670251; 295759287; 488828824; 716955596; 243210998; 346501369; 821076608; 132757075; 573747037; 823473820; 927897562; 869547288; 712990389; 448900886; 342956013; 62946866; 470700815; 778713867; 591184071; 874254021; 850048762; 862801087; 906022336; 381745405; 888489701; 72579896; 674193275; 523047089; 57562013; 488742855; 723796291; 502818880; 70231012; 194873222; 248436665; 881011336; 493388234; 986871195; 266001859; 805574107; 324129304; 291286451; 939365850; 614937137; 799592506; 124645474; 591165664; 264480988; 43946154; 365319517; 254900857; 395105462; 661158006; 623284071; 56606772; 438868503; 899964353; 610261048; 592220551; 262264227; 113867784; 193973750; 40568260; 790754049; 266615786; 417989549; 444677017; 728938005; 420210665; 231476103; 651387430; 372132429; 733363133; 643252984; 545154801; 584039189; 315191527; 729476622; 347283407; 706782604; 836868755; 369557298; 722335612; 596740966; 993239046; 705077042; 522757734; 169234038; 722358125; 312995249; 31523089; 947857746; 845743937; 579326153; 442766549; 29389217; 905422346; 409334484; 269631386; 233631683; 225724529; 923951812; 889956534; 203715968; 829383665; 62973801; 386543036; 526031756; 297744561; 345911153; 273523115; 759380623; 248452136; 29734461; 319129446; 730199171; 754935454; 364320935; 659271948; 955157818; 651552939; 70070951; 426377554; 158188832; 737182146; 482712249; 627256339; 423009123; 10595346; 208226972; 725354163; 891720318; 285833075; 742188228; 739170820; 829286826; 500004038; 176466978; 34633101; 491439998; 47563491; 895379997; 72325094; 979727784; 525918634; 597037233; 1253490; 438491495; 383927229; 348915987; 270213822; 659637193; 121572526; 439308598; 956950675; 182997059; 543564241; 416640645; 963245065; 120805278; 602403709; 751118608; 232868269; 967076615; 303760989; 963744205; 483762681; 714566879; 249844387; 967301203; 121533022; 173534810; 924948108; 23115684; 204503280; 689877536; 577238466; 291860468; 364110721; 894053981; 535662030; 687738242; 351387870; 239733208; 919563012; 351181369; 854385366; 527299716; 380170568; 154063459; 16250013; 385313238; 620445227; 347477450; 294600438; 149666332; 934544422; 530343938; 229559987; 320684072; 471431174; 771536056; 467021111; 474014384; 383660108; 117813690; 206262236; 588464004; 834122700; 869784968; 520256984; 797257253; 62929844; 312485086; 60133028; 573082857; 961228181; 281469050; 628843197; 429330412; 162744004; 646175539; 1119615; 459335628; 629751548; 844476576; 212719391; 118526553; 69086729; 7888637; 258349798; 182878265; 97088305; 736633711; 229899339; 657544631; 716401531; 28103941; 822945063; 781537595; 477796317; 751840789; 264327691; 554124683; 693636310; 815951077; 737246147; 486654437; 14564934; 508572660; 427849; 93341145; 109271727; 191201461; 964702303; 596816148; 443996292; 136131341; 487972056; 91204483; 265979813; 502920362; 810652210; 478113065; 810938198; 951164190; 967510479; 788860727; 650928434; 79677902; 545421232; 181472052; 14673997; 914766164; 13900403; 224019226; 67467365; 60795978; 518290825; 717627223; 975622168; 950805529; 800048952; 781975241; 435302116; 920976938; 222344303; 92228384; 357481763; 763469708; 551757242; 529802867; 127801267; 873137987; 57456621; 439295858; 861592037; 584621490; 558554354; 817920676; 681672740; 453879759; 305645955; 891782738; 216672678; 942240725; 705006341; 99312050; 266519177; 186216016; 564809469; 736787018; 509886679; 869468409; 267862731; 365288612; 940687816; 190167702; 803221656; 294247907; 816607721; 360314708; 816463969; 242280715; 103002439; 647240311; 723793354; 708057443; 918857346; 872745297; 737529797; 213492298; 401841981; 197781877; 18314148; 561996337; 596215117; 269788807; 915492200; 629275831; 438737245; 641655389; 129473076; 547024393; 289350393; 284817603; 480810091; 344470024; 967164418; 155882593; 240184933; 463033732; 792336817; 672727114; 741774492; 936871003; 799531606; 577861735; 988296746; 569271364; 107811251; 706334064; 700896456; 856812505; 483560612; 741885122; 842665023; 805590109; 680494655; 190087409; 22835001; 408769441; 785450835; 655472403; 157232143; 424900489; 1428815; 883888354; 232631142; 163571550; 827219382; 805423309; 400736232; 471821397; 678960641; 14946273; 297619210; 753401614; 696104761; 973608492; 618241016; 916517496; 246092140; 986113339; 449436269; 796051684; 523098985; 650155079; 968339192; 397789538; 747677460; 360278724; 232528717; 859384884; 780813321; 284468717; 59629660; 272186618; 47149208; 86189919; 489326197; 142622130; 528676838; 889214301; 124532962; 73805032; 268027056; 564189199; 643179526; 346409773; 704099365; 703682192; 883495791; 638565274; 506041885; 904792883; 950423991; 25595872; 296701822; 160345722; 799298124; 820023780; 64056660; 523187286; 839651709; 635754596; 377451821; 933403465; 124438534; 647769566; 894993535; 255206134; 509238907; 801489120; 502358555; 893148781; 340278576; 253716224; 884287930; 430536841; 56703288; 134109891; 611372364; 606526574; 514880499; 281196454; 39118238; 496620646; 73564383; 2045781; 845082077; 267046152; 366291041; 277249272; 644064829; 648372340; 24754877; 422260005; 72568596; 830676766; 673380800; 448823683; 340912770; 336532722; 35338522; 842824103; 901938081; 509822792; 579791271; 709427380; 868948900; 997416744; 380050961; 789382894; 537263910; 281279593; 519139875; 356376464; 47450668; 802137427; 584325278; 391760856; 631574623; 163631814; 111067538; 395021283; 839469472; 826685366; 875327254; 221831810; 173890589; 569934909; 492428303; 108646901; 776875922; 972082680; 162499885; 307668300; 67677843; 785210953; 13668041; 946792292; 654377006; 232857064; 601398917; 574414818; 48402038; 634501201; 278974905; 811584033; 182486049; 280613626; 474327105; 695373979; 410639160; 71958394; 697710470; 361348190; 65335366; 444062089; 283877944; 458743115; 771705543; 889517223; 730069642; 221797191; 825303326; 391107255; 806963926; 449451927; 56089637; 909463275; 651971216; 353644255; 94916656; 714005232; 364392261; 547519371; 983798782; 483362481; 199700172; 359032329; 550141309; 975703808; 666386277; 737548896; 584729075; 574642655; 860877794; 429374975; 173541631; 214964176; 935835921; 722077452; 718178829; 359127597; 515885040; 296305929; 751014390; 114983681; 896003398; 347907595; 395202565; 624300244; 475798849; 172054989; 405255293; 534357038; 146301815; 817211577; 796278904; 62082228; 532529227; 437232494; 153775651; 531052977; 897452785; 477712354; 240784643; 470012081; 910541507; 567847581; 118037769; 22060264; 699421501; 712455587; 993185775; 402240159; 857590714; 307532047; 853741297; 381254894; 88270740; 407461014; 94254701; 701052201; 123255635; 325947910; 732068367; 126017248; 556424519; 645579305; 377571373; 774828982; 328673431; 355901675; 268234906; 854625516; 304196401; 116349503; 870905463; 473340326; 636759474; 850205857; 787689375; 874006619; 782105927; 758929485; 904557879; 539197176; 80517907; 600289406; 366794950; 516315995; 350075455; 59845417; 325469171; 507518298; 295261308; 186598941; 348053987; 706289713; 808114633; 317197685; 493548718; 644216752; 979690156; 135155851; 290996686; 245488300; 75736133; 196225048; 588907915; 63930052; 294235470; 296867975; 545539171; 839390727; 48633409; 538805545; 454578993; 708262224; 666406987; 581105933; 952684106; 915659543; 837928462; 866632693; 148752556; 877170998; 185555570; 187368999; 691548607; 844878054; 841017640; 63452495; 793588850; 545058075; 302068802; 174602921; 424715309; 722757680; 591693806; 209407808; 740141027; 652418247; 21205979; 195824769; 442702605; 872376274; 77017008; 323605836; 631443149; 623278404; 227262090; 43130591; 913592143; 217789247; 279647811; 938394328; 527793598; 595053355; 724938793; 217326614; 403445015; 25532656; 592239841; 927309624; 570210233; 826108064; 722287683; 324254064; 317202445; 131103538; 896663107; 590619181; 98501759; 435957877; 407867899; 785324371; 826888191; 373490561; 928187274; 65121529; 768450279; 662175583; 972732993; 689754817; 733883467; 572433702; 999865442; 457517042; 408951853; 997820839; 818342470; 198420266; 50481007; 102547840; 81100718; 201101185; 776008358; 827774931; 94774976; 537896954; 361166401; 645808838; 972739634; 529808788; 584756322; 93751597; 337896177; 35927701; 843934946; 534021463; 782345690; 268485641; 312800497; 956899137; 595545090; 378742831; 150299769; 604479316; 6111559; 242140679; 986658238; 857028141; 470103712; 521246039; 1206572; 170978346; 692057147; 450947426; 911033537; 445478876; 394709266; 532247027; 280375281; 820487896; 105207321; 937025196; 927519840; 830234939; 788048149; 875723770; 99053303; 978528135; 850350575; 691196852; 900166361; 360710102; 268331617; 516468232; 238024446; 723010707; 717719779; 800802601; 385452281; 892466786; 796627760; 462173604; 469222129; 596482971; 815980398; 448828491; 374170018; 579274025; 585309314; 529025641; 21484839; 754656326; 598517323; 765241878; 668590316; 150197314; 847436458; 347942147; 474974548; 882735152; 536163114; 869089128; 767671456; 803171036; 421485242; 59612141; 538673456; 964244387; 93996827; 222825415; 665001341; 798897502; 663990172; 650350901; 53664039; 516894341; 257510729; 247765140; 589927162; 503307224; 534305866; 951876540; 315923406; 492888505; 410295720; 561554848; 797688707; 837240079; 168327000; 107309626; 22353151; 786902000; 898255547; 296648999; 560934694; 694211945; 96477912; 3669769; 473702283; 356673289; 957604259; 799464580; 836732947; 835214815; 718137918; 19374895; 635815665; 555800761; 597287525; 899222272; 189391537; 475193476; 616732875; 37621319; 121489398; 867910102; 20855178; 142429321; 745269930; 621897377; 650559613; 463225670; 950836285; 578835712; 535313730; 307526338; 47527675; 3533005; 632764154; 893819029; 66578746; 770487183; 47130177; 120271116; 938492701; 483647907; 956885313; 383716011; 941866472; 192931995; 787960595; 923447369; 382616089; 861500718; 281158144; 661084841; 349218552; 188361441; 75102744; 324498333; 846920045; 28845621; 224005854; 958707590; 912793218; 785835703; 725639442; 184237717; 774244317; 548255498; 693332044; 628808591; 959636655; 958311127; 939146175; 708886525; 513165677; 313436627; 494736671; 526812940; 678015008; 460257599; 836010513; 154357106; 625912439; 421229738; 55951323; 573392089; 57061417; 389255502; 686906384; 498788030; 814180755; 252948531; 939804987; 752303815; 53909635; 775868636; 830440088; 232400900; 338868567; 676319977; 282397759; 521012445; 152163299; 506001548; 607371717; 378989209; 432250053; 36286821; 769296018; 504260135; 543742730; 129934092; 367419982; 789960940; 229222175; 42189780; 456385978; 504365754; 624204216; 714073216; 536217608; 671368979; 547946196; 323745992; 985082505; 912950206; 258641034; 507608191; 646352877; 58521971; 283732034; 212896505; 71680601; 24625836; 809686630; 843588491; 483107929; 775095540; 482836543; 315858264; 164119128; 258079306; 842883635; 52923925; 746395361; 993155668; 907931041; 238917278; 943025427; 681671456; 596418830; 743289852; 809012756; 24571235; 631716840; 764151947; 433462061; 880706492; 357441226; 413850113; 138736616; 500693300; 697393163; 821093756; 626242223; 787819966; 381064479; 509586938; 228579830; 821679743; 730894938; 555761402; 770421453; 716434546; 918122412; 334242765; 401664382; 623323548; 465254441; 162447404; 932815885; 965382344; 891555791; 255082036; 375969108; 950636069; 983189641; 378173311; 52573390; 650142418; 982256994; 443682143; 247643659; 679756860; 410616901; 68319351; 107362669; 523594593; 388593708; 708757452; 373955785; 969164217; 72812237; 249985093; 87168275; 401718756; 475620170; 189564414; 19574942; 56060636; 557088232; 123852003; 101680522; 512327747; 470773045; 804028110; 905074534; 817847144; 78907144; 287001307; 523101522; 596144520; 940176675; 451492945; 729231384; 168334691; 378996733; 697557519; 897990902; 57479189; 980603873; 830969557; 56643110; 653899069; 973536564; 65548762; 687267076; 999555960; 140811332; 96759756; 990085874; 536829929; 530427414; 301363726; 550814368; 211031293; 514040843; 668255735; 464715234; 914374478; 568594562; 547697425; 142381245; 664095624; 542034533; 599260227; 208787039; 430478178; 1901043; 957133817; 619144063; 667293697; 152737069; 558835375; 998240327; 20919229; 278293823; 941888758; 849707178; 547130287; 12315257; 564719416; 5808845; 346715048; 589804000; 831878458; 11837854; 989265559; 356432357; 247832014; 763731429; 617252076; 115836420; 608405494; 647909382; 119666521; 103124803; 374421701; 503951735; 59475368; 972498929; 468596447; 90810908; 55216537; 362317252; 156541955; 373968315; 559509132; 765496655; 903105387; 165225030; 446305479; 448484195; 990066521; 923117455; 153204165; 129088537; 470425245; 434417803; 624855229; 303074898; 511174627; 305991001; 733317651; 234554084; 43796977; 973811833; 26466208; 611419446; 111760345; 893573557; 806935792; 948601341; 47468969; 554075070; 181127368; 470669046; 64051768; 921808246; 263802239; 994506385; 793176606; 18532048; 817381537; 16329382; 448615304; 680720897; 45121596; 318284576; 584030794; 399563773; 291830076; 312555357; 713522538; 408590852; 225124363; 854616821; 981945637; 309600402; 606889734; 5637693; 18304272; 168819764; 66093062; 170405242; 992278358; 687257285; 695591104; 224631768; 741114099; 934834771; 444657592; 265715821; 163809508; 268613978; 232883504; 425960621; 880840291; 414662471; 544746236; 971863892; 468782179; 923624547; 87241799; 859167687; 374387972; 405822268; 482789304; 877175890; 528020272; 95717776; 515066666; 5661940; 728640439; 754690237; 92923743; 539575692; 310493127; 814579501; 124055270; 315368293; 864703032; 629068724; 380745558; 365623199; 5827209; 427110588; 241200957; 540910306; 116043043; 269590632; 749484381; 376140340; 978885863; 417716400; 828586745; 425629647; 464560992; 562002956; 91299940; 805193554; 497298607; 39772937; 552867122; 290224033; 210945804; 550028335; 81171184; 728936463; 754067963; 437610537; 590497958; 223035169; 45404270; 148791411; 394387547; 143604048; 86414520; 815029160; 667768656; 616656901; 208352710; 711498025; 770850644; 54747174; 762624405; 676068853; 341217678; 701455687; 624789989; 811229164; 554900350; 267872379; 553483722; 893703499; 136444788; 732527786; 859762273; 618750479; 841084963; 893545502; 90176780; 973442234; 178366420; 256522328; 893417992; 216331323; 305403837; 932555406; 803103063; 932578986; 541075978; 781680725; 38275944; 803971252; 866787178; 380875875; 32981102; 105014563; 931474280; 417744106; 188954433; 903124332; 455674192; 498990554; 394592099; 66627341; 6180776; 980577504; 278297854; 988303797; 403442988; 806614674; 225413154; 929659053; 595084761; 522213835; 253603207; 120083210; 690667857; 101368480; 968445519; 116441793; 638573728; 413233316; 121160630; 425559558; 732023072; 208854584; 517394750; 727760999; 218542663; 45665071; 641469519; 915925611; 23508259; 897908457; 687378138; 696391798; 628519267; 278306633; 707034941; 598544185; 467482528; 273382676; 213726009; 226608443; 510107210; 491994627; 29441924; 295410470; 305374166; 595180995; 641685156; 644145150; 699091218; 940532453; 766590666; 895365139; 518178338; 23299416; 106405403; 571381207; 582292521; 380052160; 856572264; 322131608; 819296652; 849386644; 904120492; 442231527; 663290319; 783364802; 334971974; 916515126; 880400578; 420519342; 354143891; 825610063; 96228593; 782778425; 36057410; 807755811; 612015380; 168865563; 538670235; 75791290; 34835301; 278086492; 458908914; 780371304; 226840985; 509261940; 747294759; 895321485; 893521884; 199714389; 776500141; 180498837; 575770756; 455149403; 99963456; 305037795; 600945257; 740223827; 362646136; 331932108; 892767685; 944982135; 621489854; 456312081; 938661908; 808181523; 302408532; 53948291; 918699047; 705208452; 118328474; 584609922; 3855995; 659137873; 767971462; 303070052; 170198304; 943754754; 819368007; 988419637; 57256373; 740101435; 145357089; 355409283; 507552156; 932349910; 731760110; 921676800; 137195679; 936303874; 625954583; 968999469; 790034376; 957452455; 313446667; 590817412; 852159993; 699214507; 224273411; 109146919; 801889664; 495244906; 134854579; 268016249; 707928762; 819793825; 475929011; 863787009; 130389973; 209095520; 871139387; 459356463; 994895502; 284440683; 86090192; 814313986; 98739619; 862607429; 409458903; 865901953; 779129574; 829740389; 184898970; 565261835; 522306288; 103760875; 800628288; 448238440; 37138864; 23593016; 190762927; 15701713; 464027619; 455132617; 604907393; 970608805; 61293634; 53928008; 431394516; 310196710; 933826028; 467232135; 667350424; 335035604; 515855097; 697867277; 54984315; 391983482; 328395586; 251145225; 863794634; 97565404; 971729905; 763563013; 354048014; 757198833; 765214887; 885890351; 648595090; 690199291; 107214863; 163217862; 529383258; 811417026; 819210766; 659196905; 369331536; 108977903; 349553862; 790414061; 396697274; 363325450; 327305319; 559471324; 871221532; 477785782; 354161149; 990217719; 348837620; 309611724; 862242079; 397962406; 142961948; 244509781; 624851695; 996861382; 875256683; 545148143; 225646399; 740060257; 353713758; 640618767; 260624143; 754822791; 98652192; 694525354; 121614204; 11612764; 870386523; 86642858; 832780632; 304804871; 357382015; 794524990; 969326746; 516213812; 607155279; 182283448; 318970225; 939755489; 874532114; 999697860; 997309426; 472557058; 443187259; 713469498; 425777103; 95177149; 998924688; 626812254; 397060259; 919898708; 521501046; 129626112; 156186722; 574295788; 250002624; 340666707; 749206106; 495414499; 78020226; 772290034; 787707334; 653473077; 797286807; 251895784; 770264888; 855920456; 710132820; 500385234; 629100460; 265559566; 972580306; 933347892; 606484099; 45443317; 85089213; 892085992; 884950211; 24938107; 993149547; 556390451; 325459652; 801558409; 178116387; 565294918; 454566099; 814792580; 315151493; 783637850; 396020517; 773893710; 239568126; 235693699; 442755467; 240987976; 468477054; 994358940; 235162395; 976184102; 632357929; 519509068; 435334498; 873652813; 728316272; 855715466; 928639210; 427797531; 73789579; 659752264; 49023225; 164149389; 176635802; 154364457; 825568255; 809479909; 149718931; 320071960; 855633415; 210674953; 484127433; 805383942; 233877307; 448852045; 733049424; 187782139; 356271770; 565597010; 876775324; 907545382; 90001322; 667967532; 475011002; 806197273; 338646026; 608724463; 987540658; 42466771; 553000296; 72381452; 737305182; 332861429; 160462848; 847383672; 576302693; 47861800; 162601912; 322811093; 215950220; 65428160; 752861773; 682082974; 710425236; 602859585; 438822725; 393232565; 682956926; 747500370; 994673642; 617979877; 271339811; 247224764; 752096724; 876430953; 11899254; 465454672; 866059624; 968398668; 579665242; 27146612; 749763940; 865545682; 711405086; 450848881; 579977880; 487633244; 106813059; 697545030; 518372418; 911343857; 757714474; 250814709; 950415578; 310473690; 651018128; 673967075; 742411343; 628973523; 898336676; 612025879; 719256045; 656208550; 916494597; 854256865; 372208696; 612403430; 349840234; 881576298; 110930348; 89378906; 38080217; 619104723; 152243846; 824406728; 673649884; 654093757; 883207414; 183072448; 493003196; 122022724; 641997183; 134169783; 734773893; 926013012; 351364105; 731673433; 279192243; 148658601; 545178716; 427747991; 906492413; 977043108; 356972133; 107563071; 261037535; 359183435; 591148574; 345368609; 820043677; 931106836; 872035820; 102484111; 581070439; 643260451; 126106997; 879966982; 811595632; 256410725; 90947920; 750895360; 77322771; 638969439; 841730416; 163294853; 956912894; 587097955; 116166183; 8845222; 440387449; 803739267; 676661658; 237026484; 482237103; 593147314; 721400219; 729100504; 141805034; 91438899; 412904983; 928556719; 504019727; 408586119; 369980598; 679073549; 617381323; 725530303; 424363395; 428562168; 820393061; 739888336; 35670799; 602047458; 319945731; 449257369; 462481716; 497233695; 41456287; 723103253; 135241060; 165572223; 773659773; 934536318; 949499478; 567455091; 927169223; 285706177; 607604309; 369397231; 197192979; 95065252; 427894496; 933402591; 99439073; 622663082; 265423967; 738336812; 713870421; 770580313; 164850171; 227809813; 59684670; 965559985; 62469515; 833373235; 591870749; 460458609; 948232831; 445681207; 364622836; 966319561; 925440557; 592067802; 310096430; 812746709; 533933634; 308459228; 431276641; 170159199; 148512880; 590766228; 903525579; 981163176; 899634160; 583807110; 842685873; 563290202; 444401100; 872117754; 524134995; 204376238; 560771833; 956956078; 534218966; 437867466; 191144989; 736283146; 541608636; 424814238; 460842328; 728795300; 902746668; 360152615; 120264116; 386646222; 64865594; 252625082; 779729158; 887621412; 646379539; 195156464; 570302675; 614773064; 580517378; 120330820; 228415631; 168082007; 403320616; 944311666; 496559196; 810202606; 744561256; 204373272; 237210500; 297606078; 240111274; 274250; 268460726; 546111470; 556372357; 427031701; 764565458; 630182628; 573463013; 839694916; 533925831; 138355152; 97742583; 786035307; 869666321; 90990689; 619823506; 561301354; 716913445; 483539151; 305094395; 645209915; 632477715; 733031609; 725623304; 528253606; 813830704; 16768231; 522858685; 381749510; 97177616; 924251166; 773983254; 429403313; 588027334; 713054238; 503776138; 209445811; 593460990; 248284608; 351372515; 383774208; 244384301; 799863342; 29943714; 74552905; 442262534; 59691909; 487342671; 368484759; 980432440; 306936262; 166047338; 770029420; 244363679; 805007873; 674466862; 727761333; 766449047; 507831964; 274375128; 640245116; 980616243; 465923433; 777151878; 655725993; 655471391; 437059324; 230382405; 61325531; 466983513; 955440324; 661701336; 712604877; 442908169; 940248174; 568802928; 439746442; 791693494; 676169829; 276783621; 715847073; 893666447; 737403414; 313460699; 555075596; 69913114; 616707631; 501219349; 807284493; 355431425; 904562860; 814317461; 639973534; 798508943; 889541065; 95241704; 17294787; 908332215; 235138517; 221730952; 720249237; 122031642; 652243151; 909065723; 208847459; 75316948; 551095230; 326971053; 973445060; 11420993; 664214616; 779976382; 675577048; 900308200; 420837649; 319648840; 125576596; 998699406; 9798110; 244589798; 358273953; 116893548; 673021657; 462822565; 87016896; 342194587; 602890161; 682388546; 769619208; 95230424; 394778262; 111849353; 202211103; 769467527; 310554035; 565768153; 520405489; 185143915; 403350515; 411310737; 38190128; 219194604; 487625023; 247453768; 684373216; 318016633; 610994322; 664290343; 859866901; 351328936; 196507651; 189360664; 953111028; 149776873; 217424809; 775799505; 210286088; 875544883; 469213261; 82973865; 623156242; 841984025; 992049850; 348107512; 306443657; 623812872; 10623407; 779260107; 325434507; 663258218; 284015252; 549239098; 560984020; 654938147; 899382267; 888436538; 19305141; 74940696; 148363523; 807447417; 973558635; 476532136; 865487040; 272407631; 655630501; 52061733; 795625494; 513146800; 374959316; 810153941; 975591313; 480182889; 898378300; 166782095; 148644558; 974607307; 323486395; 854429988; 190236779; 599218310; 893598001; 845383157; 214414484; 445990978; 382139423; 806863152; 495051380; 884115121; 407334821; 766286808; 405103311; 411703362; 370973434; 611024242; 33210016; 496927953; 593192723; 933782305; 893206985; 870062899; 34228923; 335732358; 267334020; 829588831; 366730218; 499012303; 828413860; 389631637; 855865996; 441944288; 694260849; 9180457; 133293314; 530796362; 994451356; 811035272; 87596036; 228239287; 66121526; 76999727; 975853232; 661592784; 7157673; 754303622; 642612073; 857950145; 158426810; 171571850; 66366491; 361225197; 729127412; 194358394; 348624339; 47520307; 394691079; 580799653; 812312702; 175124540; 950829891; 826579517; 359195428; 730778419; 108575628; 427459159; 111268217; 483725758; 265700593; 630927720; 58191940; 364551355; 374740417; 261047376; 516868920; 302031156; 975663522; 528730608; 964206454; 698225241; 53863366; 28561846; 127681440; 321266752; 192787526; 358300595; 904984245; 463892416; 639329024; 174737038; 84936967; 389410408; 580238546; 26479574; 451503345; 315852356; 514982652; 334695497; 470942614; 771942501; 693428024; 577652741; 453932381; 876546717; 223202380; 211300658; 587177273; 26273627; 945425172; 323120808; 49182317; 673038725; 662343241; 58758502; 468497766; 404767326; 975931226; 789879238; 937961440; 433052760; 227779378; 854779405; 945841174; 885989513; 268143286; 254945316; 856766229; 689107275; 433854672; 69822338; 602346551; 230945224; 618184599; 832598984; 451112799; 424790354; 487632330; 582629664; 952196338; 197506451; 131475977; 993122146; 625633681; 68373577; 846339868; 756508912; 297098605; 220073018; 276928389; 107184998; 969172180; 202769283; 170878744; 140103125; 64413140; 719202931; 283927707; 976564097; 559368709; 215549418; 892477546; 240986347; 826672270; 726825377; 526767845; 426055934; 914350974; 33342675; 991080260; 80139223; 212122515; 539480169; 211517330; 649681681; 673933201; 804130678; 538082172; 719925797; 240423191; 659825404; 183897574; 662232042; 504064396; 587381503; 743541302; 981660877; 363267644; 78876861; 369112785; 337625744; 804111731; 561043876; 581497287; 699330723; 595662853; 291864412; 430704250; 775023669; 744870078; 992671369; 813968163; 293509551; 878280305; 880513372; 647872909; 573117395; 395240038; 766261535; 961532976; 941591900; 401203607; 712549829; 249369013; 873792874; 801483222; 329398569; 65174936; 659771060; 692707195; 846411902; 312976913; 224085188; 505354458; 701948221; 742026269; 432627585; 577936443; 463347295; 961595081; 637712385; 595582740; 195291006; 124569602; 626435158; 950685648; 725371946; 502356972; 227215932; 282530161; 613603139; 830382434; 945729511; 856444413; 159320705; 651969654; 962061199; 403645629; 476790246; 348714860; 719965958; 762314695; 498534288; 110256931; 801717234; 255055712; 461639814; 226102296; 179450993; 55316122; 557999971; 933291484; 356779828; 450488582; 180199575; 166409116; 703691314; 787965127; 573472191; 991889950; 710490872; 261889876; 203158524; 723839812; 393684365; 76843307; 877287641; 530174659; 921573337; 771784570; 357938435; 270958405; 832015711; 697545459; 955252552; 657570840; 275434815; 884994725; 609012138; 689543558; 245758129; 702420967; 837070213; 362055582; 14159338; 734897836; 662102462; 33082345; 811971998; 793587768; 984595443; 841202834; 810316703; 100859587; 393351803; 128488539; 635757568; 494933873; 661214914; 634600896; 581836243; 687121779; 281685145; 551289616; 892917001; 973541694; 609710351; 263849791; 663630335; 321850502; 517992051; 755626652; 176453367; 850323963; 145827465; 777307227; 727876468; 856642971; 73181940; 551625965; 827294043; 264471380; 929238631; 404367107; 607926156; 718043112; 290001864; 330278560; 533562017; 154162929; 4110593; 6018653; 383713095; 989679532; 47469540; 862771313; 969167162; 620068356; 830536761; 936047463; 943659483; 954566180; 566788898; 334322320; 227302308; 814518089; 211631757; 892691351; 321579696; 891497258; 986059241; 73004084; 375225753; 665495412; 41523120; 560564313; 61311013; 397725207; 876194170; 192604656; 296519260; 602629913; 460759326; 241280322; 134692821; 575624863; 382686863; 626687363; 65052012; 211056330; 746314798; 672057706; 172250570; 667873757; 190050810; 394971825; 33908734; 228474483; 364899295; 888880283; 603979224; 908489409; 709707775; 361674213; 918789844; 475457209; 458233649; 141163886; 141369088; 50798026; 63900555; 463178127; 476389833; 362003658; 275724540; 327453508; 632456207; 170221614; 287395486; 17817613; 628356326; 394643194; 645648841; 31312362; 127783830; 502361927; 256149444; 62089184; 871693780; 169421995; 207668740; 700306959; 734222937; 797251613; 213076186; 863501582; 350855761; 38421872; 510736669; 817707483; 381277079; 872128627; 65206971; 161189445; 15431851; 498573302; 358857210; 323228059; 669487198; 682032776; 858634776; 392272879; 501685419; 986109947; 374558482; 804011978; 269230248; 962692090; 45842300; 141551052; 871764785; 652398618; 32393840; 634371060; 349374746; 147060487; 453166990; 762703224; 824393718; 776318219; 648417761; 988554891; 939775431; 361529110; 933740706; 289373728; 227234039; 536528355; 41339786; 764442127; 233604481; 257266699; 381149365; 729158449; 522486578; 546019307; 146287852; 930694116; 90008755; 424330431; 487445174; 572648134; 962840614; 494019937; 321825151; 355020886; 138633544; 275109357; 436280664; 592915588; 939632589; 912578005; 442127724; 72526311; 411577835; 395949900; 529004299; 447942720; 885525703; 937358782; 718151020; 9208171; 274479847; 439889477; 538973743; 949210202; 94432148; 156071740; 942306036; 759100257; 591148742; 230735595; 278776122; 725413435; 409225743; 476050567; 658824088; 442298973; 816794040; 743565699; 919839227; 788376774; 103745504; 318415091; 749420093; 275600838; 369300363; 163374543; 643770620; 907192686; 78989546; 41118799; 874561775; 48435351; 213572892; 780166819; 363991396; 144137356; 248528083; 236491112; 356743157; 845660075; 991256474; 318146952; 96593683; 103060001; 942914845; 123067998; 597920777; 769162210; 838221314; 104016786; 835219687; 350548880; 207584677; 964063259; 481716124; 261928649; 622664897; 291628851; 4070510; 126696335; 667869101; 23733622; 298421648; 993439682; 888172374; 806469111; 112276310; 750306965; 763977681; 700701189; 775420167; 568977404; 725713149; 334700146; 294821454; 740134296; 12467748; 527484894; 299892101; 34453278; 922337396; 551417214; 474082976; 894650308; 629637355; 527301238; 51987057; 634869252; 119642258; 538143231; 396625006; 479612167; 284813651; 308045758; 760574246; 321851894; 69874748; 981626676; 241441187; 395157513; 123725985; 456561299; 819607006; 488597475; 963084577; 626599924; 416875721; 920503144; 806638202; 44185495; 694641742; 426040986; 576822688; 587890609; 874085990; 245492986; 990588699; 902324428; 478166465; 630163117; 652322655; 691774702; 726041102; 997210045; 887434515; 925781915; 395284642; 467986985; 653984645; 160684134; 115042867; 984616555; 224037035; 235668566; 604594754; 301123944; 109995806; 803007829; 476109644; 960607613; 641402975; 496486832; 636084305; 234102648; 883875240; 156582557; 757602118; 712936604; 101899289; 898613904; 57455409; 398264593; 194457379; 3075162; 81109220; 89948470; 32539664; 603742698; 677356359; 542612475; 698202203; 319679279; 32178710; 124184170; 556471759; 415989399; 134821426; 654456179; 81524781; 472360352; 641340755; 337575578; 303948539; 227446907; 313849217; 659440278; 712740755; 156592784; 706675632; 652694438; 451049965; 560523017; 656146355; 601360187; 420886154; 411525674; 283151623; 118145294; 325909968; 168681856; 344136304; 777063399; 19395518; 942487837; 222120838; 148330985; 1537594; 990387959; 874543287; 118046944; 603772537; 483090057; 922081316; 130916018; 703568136; 941237073; 720371686; 425033383; 111652452; 768436390; 225904196; 262856765; 270263702; 933939341; 63977023; 678541383; 493201842; 65591572; 622650188; 626153602; 485340516; 768268355; 842940195; 286532127; 847767297; 679552179; 615095193; 108427237; 131794833; 424098449; 102032942; 178461411; 398451121; 250970009; 157981278; 890426906; 530615092; 778917995; 976838595; 32801313; 87015558; 524272063; 468666664; 629438017; 360710690; 484051057; 589142096; 621550759; 746941543; 65226776; 699283267; 845541591; 232467648; 340703355; 485821337; 966641417; 617579938; 911785189; 668269633; 601857977; 587109096; 157208720; 727643271; 376030472; 850263867; 759904130; 781907744; 656734045; 43406179; 543601073; 874228208; 83335087; 857667271; 634595907; 755801743; 991328532; 770772534; 51335257; 67987993; 569243021; 405090906; 811952624; 465160579; 313196346; 40954909; 267349697; 854908705; 84213508; 549029513; 593732381; 887617779; 318010086; 868207622; 546019321; 804252734; 839408917; 764936156; 366013232; 642739538; 206744394; 779517242; 196445227; 935776326; 596600096; 113749095; 449377795; 821590621; 234282385; 155750006; 3210504; 931484805; 265654853; 488383667; 408803783; 183277731; 66120858; 441697997; 716228403; 912055686; 953478742; 770747172; 618371798; 543004634; 216042791; 536738115; 292180719; 181669924; 147336032; 761055082; 708788867; 701926947; 604166552; 605781890; 305262933; 830270420; 840949796; 468953786; 305079982; 211407008; 183837544; 558340987; 244744720; 673333037; 32073969; 253008061; 153676706; 50024921; 868109893; 687985138; 800445637; 235856596; 843153286; 954207371; 372855950; 197660071; 17138960; 378403391; 714168818; 721730386; 860169708; 909692379; 312884099; 699313230; 523406877; 224698123; 522394758; 805721804; 399535228; 79351898; 793558593; 317956623; 469377347; 915767636; 322265569; 113567841; 882165768; 375418991; 375787698; 406264355; 754374381; 65736069; 513294537; 13915602; 311895837; 174364363; 551314634; 230115406; 17509191; 731640718; 184750965; 240936982; 608459212; 759556139; 386427072; 939941306; 1084596; 944622295; 888105818; 683429213; 467941196; 167555162; 800811412; 943520634; 685245164; 365344722; 625947429; 590033489; 288294686; 426303363; 760000717; 686610972; 983654797; 30223327; 172279920; 963468190; 988195975; 930101545; 447318843; 107940831; 279717184; 768256643; 359825952; 124638361; 313620877; 715856057; 918988234; 558561981; 989231476; 21003731; 747581316; 476059631; 513294160; 366960105; 522654444; 92677193; 306088597; 841367108; 139531625; 787389549; 799651660; 550269972; 88698557; 593197782; 232982813; 689678434; 986844354; 761831103; 126982039; 33465291; 460509975; 368177552; 937219458; 235033911; 720237139; 825279117; 190825576; 233886638; 71204959; 332110214; 589417586; 245733294; 898966545; 434155050; 894429496; 585259268; 316509982; 178786252; 624388191; 660786840; 767113303; 764543690; 788631982; 167750499; 742082530; 531415963; 213174695; 616996716; 334574013; 580504278; 199717139; 850009152; 841537564; 196654876; 80266104; 116741407; 667361367; 981984716; 976840858; 460754639; 937996385; 838440728; 214294784; 879479458; 809817791; 445464182; 150596300; 823856223; 448103373; 773219400; 974944955; 502792891; 352686926; 525624070; 619956052; 473238333; 253580407; 687413772; 818788556; 56760352; 209812276; 33792159; 333566025; 39078170; 898679936; 291796560; 888947360; 329867394; 755413328; 47219272; 658943141; 237915059; 615934050; 503022788; 956240610; 80616816; 962431806; 19549209; 460822167; 319645836; 362350400; 710827991; 86264545; 674413469; 295518697; 651762883; 910589985; 605286588; 973310188; 449044243; 519204052; 622339434; 655855127; 568395026; 972546951; 917275994; 740527326; 263374100; 520628329; 184557159; 258614287; 816946929; 447570458; 508861; 275081474; 291974591; 730087353; 851185258; 710364590; 311354896; 631130942; 961147529; 82739541; 961145646; 984697287; 718206659; 21764960; 54510538; 24519650; 721515678; 958759189; 957430601; 746631037; 609729141; 93658442; 360745944; 987356916; 292121280; 497821393; 824333194; 74286612; 313399709; 917396775; 295822238; 607511685; 889658547; 549139919; 708774626; 362549790; 973150238; 292092011; 947383079; 852676077; 160314994; 865491006; 671889161; 489158857; 605942765; 108322917; 18795017; 317117032; 428474051; 339761377; 691469075; 396274082; 309970246; 513596893; 857381369; 901433946; 176869187; 441183761; 209526799; 786822940; 859679505; 651239734; 790121296; 509212792; 438472130; 174189969; 903043816; 270602641; 354054956; 284536458; 429755216; 876290380; 206661418; 866409550; 64084268; 986880876; 953794047; 189532375; 542905201; 646572213; 427516189; 25482982; 883203732; 764534192; 347676473; 562783816; 845541065; 196815944; 588370287; 185936183; 348688018; 34943815; 165931412; 89741939; 76699180; 864208276; 2404070; 332217312; 945088076; 878169220; 524468853; 587817646; 972565213; 426902669; 25971855; 413641425; 560821069; 822281268; 44567671; 153763262; 356458470; 690319201; 415999535; 881209647; 48305157; 975762445; 920708188; 905282401; 577243441; 201592697; 684366277; 904052808; 896596240; 354975142; 131960987; 893244763; 83723961; 342350361; 196034410; 112495163; 948597001; 278089646; 105570022; 649957672; 481107234; 977707439; 895273007; 818563848; 509038466; 359768011; 63504892; 372846840; 527375253; 707243422; 689616871; 102383695; 698207106; 123651426; 948438160; 535497711; 131534098; 16658316; 403169530; 643566501; 161522635; 183850167; 352800487; 947019580; 299185716; 405296286; 867141854; 350771533; 870507931; 27009692; 973925489; 309578891; 494835714; 298561821; 160872588; 6862296; 113446258; 152857019; 956147144; 989695262; 336468124; 892508321; 174059518; 262175966; 662392475; 20747370; 397147732; 178690478; 431528937; 374329264; 963338409; 573516642; 352864060; 483298332; 401691709; 442975669; 461591058; 887727334; 185041345; 661306440; 863201774; 246063444; 329089016; 786956189; 117517976; 961495315; 286759501; 419145665; 913321646; 204035774; 19380998; 565439199; 490761667; 856236244; 13195176; 599609243; 441845076; 611677230; 933405833; 381525746; 822746530; 194403901; 667143271; 793103110; 468159389; 277666996; 997633658; 419910676; 546587783; 340123275; 88942993; 911635474; 306830386; 597275106; 216726959; 639616019; 892079684; 388053367; 729962713; 147117206; 716948108; 589977770; 55940031; 200666733; 748524309; 443198776; 347528534; 407249340; 499066939; 172348639; 457514235; 962178581; 470101229; 198321865; 922990170; 624953146; 552401725; 524837661; 864305256; 282422892; 255562397; 414153710; 721844924; 246288528; 129984255; 588884486; 679412175; 246368085; 653829215; 842883845; 120580762; 178617481; 861788961; 251478023; 449666290; 580073675; 700044777; 938011894; 163991800; 592823833; 71376831; 704025309; 695426386; 391098840; 807107018; 577911888; 50383105; 88784452; 494774456; 520254808; 25103493; 562961574; 69353142; 469096372; 718612190; 512938717; 675473213; 221263375; 800602198; 347838878; 635033361; 310918017; 396346634; 165230804; 310983013; 549187643; 417158682; 202973967; 13352410; 858661706; 651956804; 217227360; 416323479; 942154520; 79712880; 405875331; 456145960; 143486723; 289391373; 381298204; 902258301; 288874258; 148340326; 688795004; 325162635; 640047735; 156613373; 197560165; 737694642; 436223750; 33628984; 734415543; 189299067; 728080996; 391513459; 361945171; 351827650; 222919459; 139184834; 586243457; 986168753; 531487947; 644321099; 432079745; 868371871; 279178176; 39005609; 70001961; 478138480; 342461408; 873352067; 252095936; 231398461; 341674849; 826221847; 22720563; 539680857; 883796549; 115691161; 916712734; 790238066; 460243813; 171187443; 932370625; 183196236; 677091601; 595281894; 647352007; 469898729; 970737815; 574693367; 596676918; 593589709; 490349561; 349443365; 305312163; 548364821; 103120937; 868984703; 125904814; 661716466; 559368625; 40960031; 479119670; 496828400; 597814141; 41281820; 770235948; 742927443; 846757222; 37518979; 339517917; 389103789; 442350892; 645847346; 534448774; 747233460; 177065154; 72186333; 548098688; 854027439; 425984264; 542699688; 602164789; 110406150; 48678539; 991060483; 738079760; 556553247; 124463927; 6024661; 354933786; 168241782; 705693286; 965254357; 864471863; 65635684; 865820111; 102583220; 230197041; 977914964; 694617178; 407424471; 9918295; 773169689; 189595968; 947766535; 574952795; 898693372; 512832757; 130715656; 269481036; 199067150; 86794194; 758819874; 786516855; 434603480; 813137386; 603134710; 184066083; 154548272; 332658552; 781428919; 98298478; 387036520; 124746509; 705276545; 251671563; 93305257; 96479509; 388404506; 508915714; 543479223; 192878197; 618531230; 636837678; 812512015; 708963024; 656659626; 236414500; 883671081; 253852993; 741945285; 905822784; 418918585; 883790402; 794789015; 278860852; 258177663; 111724771; 294270156; 70041412; 979531849; 692908281; 322837068; 659929806; 477939119; 668735400; 893669091; 53667357; 640574557; 114428629; 247205984; 564261738; 325492575; 184244529; 616829362; 799041771; 598895557; 543350205; 7308893; 874277818; 518837647; 539298296; 118357996; 272239214; 75005465; 51690737; 129643894; 479833642; 809478979; 7275918; 648278177; 453347504; 736870103; 818284380; 828669043; 955200610; 847389936; 664743906; 309029792; 483925235; 975891916; 267380949; 775640858; 836256493; 663624264; 305412531; 112949625; 928585716; 339686382; 766743636; 997271816; 424953165; 207370178; 447236056; 479228237; 605803283; 883591327; 994592584; 473559264; 691825390; 59026281; 917978763; 46972958; 425183058; 16064290; 1839961; 303342030; 656684479; 609323398; 433475501; 985528226; 101388875; 136302585; 591960578; 91508745; 184542045; 809719350; 22428967; 902867101; 638182620; 626640464; 793625058; 446718846; 318363922; 420538361; 642814064; 409262984; 383302368; 115376576; 474868455; 705817310; 670369963; 542155010; 430439664; 625850429; 111647532; 313083692; 283134903; 126900746; 467748257; 394877761; 552775839; 915791764; 613204921; 870150479; 214240138; 709655150; 442856918; 170094840; 773014055; 562719901; 509492555; 907295643; 714342542; 767339475; 707888996; 460529712; 474737587; 74092315; 187948792; 195903948; 298823132; 14508169; 516251583; 640486235; 510535706; 341073976; 110725252; 244465724; 720416993; 123562227; 560385561; 984851360; 227622481; 295240153; 7468945; 158115048; 100392990; 161449362; 752302130; 796605070; 463713576; 313737765; 266787460; 55065998; 884326617; 371613208; 790683251; 245621505; 540302462; 493947350; 146045611; 953972417; 850269168; 921316959; 782715586; 51088433; 814291941; 191519440; 766857391; 303594649; 418905653; 117909535; 600535368; 638574670; 860152644; 722121204; 531142523; 624268601; 519013605; 264059325; 182407573; 693056269; 80285468; 1737389; 546519070; 567843451; 780277723; 661325243; 888114650; 901522208; 804051424; 631855074; 781359457; 253006678; 207782284; 864062314; 130778504; 328706482; 914627015; 582085819; 412437047; 31803047; 534517838; 414404348; 908511268; 456893249; 428728872; 898523343; 475679013; 204427484; 81104282; 478073801; 354447944; 123137613; 638177091; 169491720; 708992949; 905194707; 990966759; 342395463; 245669038; 863598950; 100180736; 713872336; 767981252; 892657132; 894825963; 411924550; 318553443; 950671381; 468979341; 479178882; 247198005; 849653041; 315640554; 34744104; 714259221; 333482891; 553377415; 884112971; 337904252; 293232602; 744339277; 501599334; 662827172; 818971329; 518464449; 423765060; 987164669; 897329830; 67655249; 148540893; 995094076; 113235355; 628859291; 384527180; 327414052; 574277638; 28594680; 836820066; 689745064; 243695296; 512265434; 582224239; 687971437; 328485529; 375441535; 235441884; 784336109; 469845337; 58623229; 626581982; 334261131; 808435983; 340514423; 379174361; 457007090; 210508262; 782012683; 665538916; 228001136; 596333185; 833707316; 798250577; 567287628; 713686503; 208167258; 717156530; 754127471; 216674800; 104769787; 270623803; 277991236; 702484016; 674518682; 687690477; 47069009; 37700967; 170492248; 416735805; 143321016; 223895772; 566505207; 325457559; 157264779; 317052570; 73555058; 410542354; 385035658; 118598331; 806283812; 524884184; 828194775; 854201696; 285840435; 904903100; 798593583; 314427535; 202681467; 584537486; 365523295; 691178343; 783458235; 14843163; 198180313; 133694499; 210156545; 606632511; 511482713; 354103696; 757610402; 637722934; 272726227; 572900790; 577424048; 280206110; 12667742; 338940814; 952852312; 720219729; 332788617; 756336225; 447831344; 221190641; 677641290; 944481419; 520405083; 795825933; 410999079; 838950675; 959402275; 81423067; 719029437; 633838321; 4521204; 300943182; 17618854; 724417773; 321728094; 984024927; 549965505; 874924742; 730380516; 487740261; 895489037; 652340342; 763627725; 791749494; 807605999; 982457621; 923625209; 338731152; 163598470; 255261741; 981964233; 641446452; 94909572; 954499064; 299765046; 214914337; 542674416; 852513444; 774861600; 285425989; 706220092; 332591414; 839715503; 79697283; 976689450; 667728307; 498686398; 139248714; 785642933; 665052546; 79560628; 562634815; 646971828; 398229790; 822233847; 11929900; 186400922; 977413936; 300020367; 382923752; 988735401; 694893501; 301107569; 783187651; 874905424; 568540401; 760001784; 8785451; 247690337; 318191557; 832311629; 106458031; 938522382; 380296744; 306935624; 950005363; 254457520; 507775044; 329123753; 474489568; 48507364; 76969129; 310096794; 231206787; 282709700; 83248443; 890306236; 152379635; 509694217; 817590825; 568249284; 639754916; 551779849; 951442277; 171415781; 161547905; 53227824; 792386849; 625639347; 757487106; 68501529; 233007063; 173496805; 332316700; 256668051; 456142286; 759686747; 239271298; 675190306; 974213838; 33277217; 646293016; 51864530; 94745922; 164680829; 103691299; 96208557; 595719825; 642168996; 781423156; 629312853; 812223087; 449391773; 299335997; 740367772; 409546146; 363028912; 405152424; 82331860; 636765150; 229979207; 620271031; 18047966; 164224670; 994080285; 41890240; 69086165; 456483257; 331292189; 373352562; 379986524; 826974395; 268034908; 796122517; 520859133; 887555405; 230634955; 443623324; 72530821; 727627208; 289469128; 192992419; 659499429; 624541158; 567719784; 175198602; 501873077; 223098318; 913787484; 662681588; 205985144; 855554851; 32179380; 249011372; 681976873; 354440247; 204862596; 374048620; 490138974; 735991251; 806215965; 970813983; 451408610; 629653976; 505911277; 670980493; 962313273; 983426225; 589965559; 512085283; 179513847; 970789895; 974407036; 871878168; 519407270; 213787136; 435312911; 957130814; 714462968; 367972902; 149862953; 308663127; 751112190; 390748270; 359604398; 363849558; 540688939; 662202220; 321865674; 474169642; 246018538; 123637757; 818303253; 94831753; 909951539; 832017920; 665494128; 518637182; 146436693; 332069927; 764619268; 51886526; 984183835; 213930736; 96984077; 484826595; 950144369; 872228620; 122262411; 382061242; 593413693; 598899431; 793829838; 388105672; 741172425; 127383832; 879865239; 308593665; 601092758; 901350943; 537798849; 316224106; 214628154; 977268237; 56953881; 356325375; 866389599; 416820206; 421884148; 461199847; 474122134; 464732399; 555846098; 26205593; 650281206; 861326745; 905219735; 131306342; 272711562; 461668834; 595131428; 740174807; 149604134; 203582280; 550924548; 617780248; 346973069; 52961673; 363304543; 960584750; 715409895; 377268815; 243432524; 910002725; 478143441; 145064986; 218402664; 160144795; 654899205; 765880285; 563593153; 246764202; 977761044; 412249894; 853998093; 922459685; 603405022; 473836407; 976134853; 575300962; 656718439; 207732642; 278964651; 207172482; 888351815; 92774363; 742391977; 112911605; 442788662; 986755823; 856015925; 328161999; 108748489; 265852700; 52714856; 440570772; 354597167; 567283979; 557799111; 375549545; 678821530; 82422050; 745534640; 758177795; 579039645; 722894917; 88168681; 353492563; 356037330; 875286433; 572494411; 625028197; 24519520; 32527634; 112322867; 24377161; 923539512; 352967150; 319343328; 218630822; 444908343; 24466634; 12872474; 531895132; 142281605; 709484004; 218268872; 88729105; 114835213; 859412747; 723170776; 265596085; 192651435; 662182362; 123220569; 803241393; 162651859; 524022653; 948733864; 439430586; 770455835; 833151389; 488002927; 570939124; 105028205; 937333404; 970239795; 818411408; 980843148; 82076745; 655012473; 124006612; 619341464; 148179593; 733386522; 295941216; 339738243; 616749417; 995095161; 474285884; 599799109; 537285966; 5674616; 315254972; 833300256; 986417228; 821498707; 873106118; 501076512; 254134857; 788570978; 567023142; 812418445; 134254381; 11306201; 884074756; 736647957; 977428484; 260979275; 133574657; 979267192; 961153790; 299940782; 946333588; 360463820; 164103371; 151769583; 855780972; 216995231; 892099773; 615799476; 769764290; 361163841; 396482055; 64155010; 271258829; 291877754; 604401366; 527642014; 966904110; 45135663; 47079232; 66521675; 392294054; 408670114; 955340396; 217764416; 832048501; 315708653; 215601094; 623923404; 72203508; 74424259; 538785543; 8663837; 288694100; 371031602; 271905879; 177311256; 317496554; 602747755; 356192056; 999788827; 513118911; 901673364; 426288494; 626642654; 311795627; 871488221; 307250822; 340508432; 483905311; 307001793; 570868533; 26331559; 777105696; 69909183; 783193663; 4000291; 720282550; 52663335; 849294804; 678107324; 687435018; 763603679; 543100949; 430095749; 531853263; 307852485; 752942231; 875694728; 963506531; 165332675; 600713028; 379539258; 412393491; 406957906; 70939284; 889088099; 752134401; 257817634; 232847111; 436105026; 776847771; 744770924; 769578186; 71887705; 303494083; 992142101; 360344634; 339887545; 429371150; 45515921; 710858848; 962091466; 552142829; 535274495; 914949069; 76326728; 27382066; 992076983; 343851264; 853878887; 167356651; 231402540; 225117688; 875682285; 830417784; 417554547; 749098485; 179828024; 237503278; 595608227; 802931343; 960180196; 955041070; 431707585; 124615021; 526166462; 3341267; 233955711; 533291858; 376385527; 880052435; 607441080; 182966682; 318276024; 450796394; 502364727; 58938279; 675688443; 95535238; 94718393; 635902325; 276742404; 198387753; 160582077; 815072989; 795188138; 127027051; 654435886; 681393657; 389609796; 976420598; 391413211; 596045079; 378748674; 766200807; 664143348; 82654450; 712949680; 331931774; 823969389; 490460618; 857970130; 764204150; 798359448; 550268754; 341089622; 513432899; 238590008; 547465205; 642712352; 273529; 985062952; 934294839; 351238064; 150900952; 244739175; 306328911; 178232013; 744870262; 314938808; 306433119; 157621755; 294349341; 450207990; 803486604; 17903521; 487786152; 357763808; 688313820; 388139770; 216308853; 616750365; 982506404; 222793233; 956283320; 154858886; 231081209; 449800229; 620738046; 118373372; 806262433; 264656499; 239424267; 998118673; 492699830; 48766658; 142141266; 464880063; 533754916; 956447145; 750410809; 61592775; 110237239; 299544244; 871566244; 550376516; 122946793; 837379588; 392224096; 789122814; 436405968; 7143430; 275116115; 360398980; 272814024; 597827958; 952703570; 716780835; 661687126; 581171204; 220754211; 558837649; 433336814; 900453224; 288576977; 954478224; 228278495; 75631727; 77339749; 935587771; 51404384; 918885028; 8108475; 862734306; 176693037; 621628979; 556957848; 852560884; 874412746; 95337731; 496267315; 529123285; 117632351; 970423716; 682018439; 948442434; 629373135; 688394323; 534681603; 947487052; 928097063; 320477208; 135847495; 882651011; 107351286; 233190436; 151531331; 606316850; 559986692; 588637630; 930445900; 534166368; 747650018; 499622913; 662347792; 460071957; 400123062; 962364885; 667399069; 928008246; 90893442; 293304471; 438232580; 10117799; 628768338; 133923333; 934271246; 182546504; 806582111; 232922673; 330062332; 688783102; 448905010; 42538542; 279512099; 432379341; 270251259; 952857288; 154181517; 873674553; 500620960; 467218138; 995042728; 107750979; 515722934; 346174346; 779946430; 833449361; 594470199; 784254466; 595280071; 651535659; 821466995; 77600910; 387885271; 908194951; 100116453; 914654756; 588393299; 131603507; 147337900; 633931297; 473286328; 715821694; 636911893; 413556217; 393208143; 303910982; 195748121; 155069852; 520849828; 551121447; 38393454; 505356437; 182901490; 142353067; 802113852; 459445111; 253961999; 365035644; 277418366; 464723584; 494713494; 676866901; 776909006; 923206193; 899029608; 508402507; 717140547; 292875250; 209600315; 52862936; 41350067; 501618274; 474191713; 655846053; 724994345; 833582004; 155905573; 277189735; 976198278; 377219535; 734863494; 212375756; 860970572; 37055864; 577310743; 492894920; 366296747; 30668241; 449621236; 428440838; 401419206; 481631646; 425840886; 945393505; 850806536; 967941893; 922219013; 37168747; 967095169; 682825279; 33634887; 607641989; 485258787; 179742935; 354821384; 360105444; 455011818; 968739812; 99263363; 73904606; 925979781; 849915628; 103765459; 171099714; 831011792; 108121515; 356607712; 491736069; 855901244; 778508202; 153456390; 140649779; 597343258; 296524403; 545755799; 391244037; 500401561; 244383636; 903192182; 910600366; 527355627; 656610707; 274938347; 641178184; 327495212; 975361050; 156387646; 940989615; 287656975; 144118176; 829558885; 346967708; 677306382; 751630059; 889494249; 343429418; 136331635; 582603196; 758157453; 583229983; 360367433; 758601460; 469573870; 10167408; 422506365; 104757020; 794446268; 544777325; 779624273; 451987742; 753809324; 797907294; 580802485; 848366827; 485502287; 507273975; 319208931; 231742457; 830483190; 455117382; 861888325; 98349212; 50106314; 587815285; 587950685; 485025927; 894158900; 808864345; 279953044; 38047190; 417741773; 262728592; 836760734; 367211265; 838822391; 408064560; 973983252; 900240155; 365485651; 632285314; 602100491; 198472204; 340046646; 730302950; 159920059; 540047837; 236723552; 465029703; 412573032; 527187841; 985246501; 168524348; 195798237; 705544668; 684571212; 792596451; 743910198; 413020186; 418387865; 580255666; 59437982; 82068165; 829979501; 947644459; 203809926; 118772326; 575352833; 118334362; 408188815; 37072805; 253578569; 272912291; 377039962; 880587369; 426442129; 482764823; 524412568; 431509526; 962578701; 905505021; 240279959; 14659523; 904218653; 900877879; 838285584; 435923024; 486296614; 869020704; 316000588; 331908377; 20217469; 98876626; 141466250; 975573779; 105347048; 482264665; 33990321; 723273598; 411491504; 146787578; 868425947; 57482667; 735792496; 948321622; 42620594; 58225935; 488275893; 148233138; 703915410; 482148489; 41510851; 236307056; 469523886; 721717406; 453143751; 795717820; 669826256; 438908863; 81347266; 514107720; 413916730; 459249818; 903244875; 933321714; 439366813; 64654852; 152357132; 347299586; 758383737; 634368986; 572705896; 861386064; 213503949; 787075935; 393554326; 781890798; 580310749; 148796190; 201394643; 233067502; 766153164; 56355506; 518442151; 768972020; 589759038; 923440187; 221820669; 365872712; 542966254; 624404284; 774889110; 601095189; 226301356; 9142249; 583744436; 652302562; 335273088; 634969744; 550458686; 577309446; 297124893; 910017728; 403414254; 308352826; 564110301; 599395876; 306087690; 20258045; 852076074; 570751314; 321625739; 68665361; 653713490; 936361915; 323142693; 51290479; 485160563; 951185255; 434922411; 409629921; 582325749; 530156803; 585906733; 851723745; 536746066; 922612799; 118210625; 957248213; 342452559; 602667871; 284557240; 385133705; 913771796; 551692407; 747708878; 218798798; 52470422; 453474531; 63446709; 63411891; 63685281; 245466989; 992241973; 166089120; 880597866; 408588910; 847676353; 671992541; 511918808; 711813433; 522939506; 191787067; 878163519; 610788407; 166874307; 140259662; 204313941; 28106585; 294509991; 429650063; 76043058; 252960694; 819975738; 697680603; 611722454; 467096332; 751678042; 859642611; 822480776; 430952964; 521732527; 72544686; 201960166; 340054889; 158564617; 505283454; 184214811; 733356253; 686612085; 54292760; 403899871; 941831863; 953288290; 962719879; 631529545; 403768198; 810638560; 361049370; 429128791; 275338804; 273372069; 140809006; 413728739; 177544468; 34951266; 420293984; 659025438; 326848194; 333934333; 347069743; 521967829; 398189093; 280311412; 788234106; 654787289; 444373203; 506032060; 185725937; 385927182; 334015967; 52615733; 583101600; 194972567; 467819286; 253677809; 593003482; 433197103; 786376470; 192860968; 15394493; 501509732; 38375084; 484910089; 724630254; 975556971; 396112407; 470554190; 80202950; 970335563; 202129477; 499417644; 815536070; 100190760; 999742470; 73751243; 37398270; 779683748; 988972673; 143892235; 910054003; 46992249; 180481957; 204073553; 566849535; 206534481; 468778549; 124188126; 897018429; 337822105; 864112480; 827027776; 47597832; 756124654; 702943727; 506896748; 507053319; 486562691; 198534995; 204602446; 846906669; 420901797; 724916454; 799691195; 202181331; 207261422; 329660989; 646997645; 811665255; 320058791; 104619375; 800279638; 268261853; 107071772; 215128380; 361289557; 472243927; 803585948; 660675810; 931541977; 401764522; 565372626; 661383953; 755492234; 897696113; 715217554; 245902933; 188340719; 765048833; 732200806; 739958923; 636193986; 787198757; 95524746; 796852803; 910663558; 760326891; 584221822; 945184772; 93362258; 14005747; 189293526; 692397039; 714674870; 89556867; 263533101; 215481576; 358593109; 354499204; 636457853; 901593886; 27120570; 11142581; 739175479; 191863411; 803562038; 629344959; 166921326; 479969626; 814221235; 327286230; 157144197; 83527609; 110318190; 120253910; 179014128; 213401456; 66327246; 787401906; 65619567; 234655400; 481120798; 732398136; 161882911; 516072273; 832643132; 724787412; 339511614; 410195345; 887006303; 173538822; 832961986; 730085639; 905757342; 21173715; 992312638; 690835792; 882165427; 293677541; 347595247; 299457711; 783195558; 667930662; 679021537; 180527831; 745976359; 824142787; 247970738; 372157247; 773783145; 23422384; 311467738; 588476487; 762098210; 389220929; 665504299; 211771523; 178711248; 913128624; 588741549; 975775552; 688906147; 468518758; 867726005; 12038593; 31562961; 471718631; 779053591; 538071029; 656449666; 898674634; 793842387; 19423262; 890623570; 185398705; 846538636; 40705904; 445334128; 36874394; 657972029; 616611767; 229895069; 655058861; 155090270; 241408806; 641957114; 726645926; 967902040; 983305458; 845026322; 324752474; 885748074; 389895033; 9669376; 428681072; 676138410; 801683954; 898200682; 866388853; 49284203; 990825503; 35741725; 475728051; 952365472; 409593399; 290039292; 656880875; 84505291; 672458895; 790683407; 93080402; 850470889; 617552878; 897397682; 616431017; 919271931; 538894576; 28566956; 639387051; 397480659; 888331808; 312516383; 712129676; 139094357; 925189146; 429828751; 669729148; 657455429; 44143137; 896419502; 373965432; 654395835; 522667826; 393589332; 287876558; 651339364; 828680821; 314498597; 144910474; 361388886; 948141017; 899042070; 604577387; 297048197; 700671202; 243720448; 222587948; 421418856; 427568080; 669262092; 94881694; 350564702; 816069148; 933921780; 787406109; 394279576; 247194716; 659840096; 963491497; 621926141; 942366846; 377839543; 904423135; 106961356; 877196550; 630280496; 328306029; 381912402; 259658267; 256524873; 14405468; 91643580; 692379638; 778066527; 343401228; 265240258; 890313044; 800722146; 764711705; 88369697; 528098498; 768397667; 13367371; 983321651; 305640149; 967903231; 204662940; 756849127; 386404985; 473020925; 13509173; 189775432; 83246022; 122585254; 309783836; 919737386; 251511120; 224937099; 649517015; 42791830; 846714461; 954366529; 328480025; 308171454; 834735999; 832990885; 716279439; 676745862; 834852009; 890280653; 869334953; 655241739; 778403030; 392085988; 728926556; 129185573; 555171776; 475758340; 828180676; 229343747; 545625292; 632710143; 214951555; 887768252; 180476872; 540305624; 488375293; 447961778; 897829630; 150266682; 935871494; 239897628; 36306920; 14787071; 137613306; 19047148; 167181446; 221686307; 926231605; 440085342; 708241065; 321713012; 700623013; 523542251; 269123659; 394643556; 408705072; 430388587; 173026158; 90373298; 742817204; 679707901; 916179928; 827473012; 830180200; 389508837; 726194344; 34322543; 60782569; 810967191; 296956110; 985551922; 802735228; 69099689; 861993337; 882544894; 3086387; 354689796; 637067784; 147299021; 323439936; 749598214; 64963473; 875874873; 260169214; 786704608; 261894718; 832429561; 754318611; 736660374; 115594129; 71586299; 378870353; 263657928; 15351768; 115135473; 763413863; 306155139; 922764812; 918217812; 193842385; 113220505; 283673234; 20446421; 16479967; 685827685; 117524362; 817386440; 717058666; 227736181; 634222817; 962294687; 241449362; 254390688; 412708733; 547966203; 442524448; 926032328; 256891420; 892134103; 479945158; 235592616; 347569648; 954914412; 515973257; 350763691; 638109141; 69620416; 839227397; 51302625; 449501182; 366481472; 832015107; 905697926; 676741743; 37441717; 811644502; 416274325; 789866577; 872878678; 726743340; 572104693; 828643521; 720840242; 947503774; 827075515; 550898106; 867141112; 679405518; 98209130; 957702403; 892647889; 588425572; 227007937; 763830442; 318240083; 58845407; 237942466; 393609077; 548918027; 593320301; 471151375; 782958204; 680266100; 849048920; 365677646; 536392314; 258833786; 522137945; 497522065; 157628999; 138290860; 222570880; 278588036; 754198935; 765300737; 243730127; 364842562; 689214696; 860588574; 23809147; 751837441; 383716938; 107467979; 102524014; 141604079; 22445434; 383708256; 454334769; 766131067; 512348531; 434643671; 635422439; 481936828; 340270682; 479822553; 387097373; 478628106; 136538298; 729873250; 989536834; 485814185; 839194198; 969893055; 4900737; 372276126; 391256330; 586272280; 322400955; 116257783; 201582517; 799154006; 794300225; 236835686; 279983815; 993477477; 369815430; 804647179; 892199865; 979192861; 324767845; 793631281; 994992220; 664601851; 815841973; 802152572; 481526271; 221601743; 503349374; 80012548; 962958858; 84624952; 97545324; 792969558; 869502280; 5952227; 12200442; 275611054; 79173264; 328296047; 894689272; 111856616; 73832169; 961291301; 579954169; 418718740; 247387610; 878376348; 368490908; 714899354; 228963972; 607773140; 245918092; 386527512; 558984436; 136381378; 997533886; 132702955; 467577010; 848031070; 100820775; 491987507; 282871800; 336610001; 620134615; 769068281; 501973455; 139295754; 264083146; 272601696; 430570829; 807093744; 219252454; 832278446; 950552888; 343405088; 545771506; 85628197; 756524483; 489444644; 87426885; 991414415; 718515819; 178071277; 832206183; 782271513; 748136731; 746048966; 977128489; 392663501; 611073025; 961012791; 281531197; 770616258; 131516578; 460010674; 181559960; 184901923; 140130222; 620508282; 280619199; 736895170; 913924541; 539355591; 632174008; 541178774; 632340676; 398202035; 600686647; 818558575; 486505624; 342993818; 847300612; 356669333; 526124381; 60567816; 666820815; 365779667; 123664146; 83567939; 462288019; 838231379; 783678923; 953912780; 874530275; 307029860; 634172780; 744553708; 988942517; 927420850; 521610862; 191596103; 264213125; 779301551; 588329793; 138105331; 712890588; 76568775; 92592673; 709013842; 849662506; 594870278; 156091065; 342054969; 655158962; 65059224; 293813930; 179844671; 795943374; 562903713; 792017900; 332165468; 800009698; 355719822; 141410014; 772197398; 29987170; 496971202; 782096921; 9511903; 973860547; 483125136; 20856925; 489468238; 901683957; 540086535; 218100136; 55992999; 473142471; 137700979; 915020229; 484106322; 762566259; 688489059; 804832718; 501763064; 948104876; 869080139; 257758839; 926620505; 539801937; 636121458; 496520651; 874918960; 534686459; 635437789; 877337546; 343780108; 665644544; 860966196; 352073035; 697749070; 1196294; 960876676; 421307696; 731840674; 27625675; 973116910; 313212096; 128107501; 812220873; 534450936; 994009495; 228306850; 291519315; 417323364; 252461543; 142252; 931128482; 693419140; 601231913; 126368157; 671843300; 722421087; 864681501; 779788315; 325781437; 282912149; 737300065; 285388811; 369858176; 683062870; 931836669; 681026178; 247155506; 326225335; 736894177; 424866420; 58488925; 866913535; 891622170; 816644639; 648093625; 405827352; 911260283; 182424257; 770290395; 174191184; 4150411; 774823618; 4108660; 743975446; 208168787; 490626462; 198138364; 366394351; 870445957; 387643075; 444604691; 331991698; 435191328; 923185048; 177753715; 104798450; 646219911; 905397024; 638164196; 654227840; 883176406; 905225405; 823111004; 956537599; 652464395; 505104612; 769438038; 271049490; 680409691; 510953996; 362219503; 942628136; 686594763; 634394679; 307769389; 761259012; 661809624; 650113291; 630632362; 168359320; 810572495; 643931930; 784647314; 95056044; 951033146; 638136740; 863588614; 853675748; 47578849; 421899416; 331160152; 834725851; 855728453; 607509943; 36937423; 743193693; 936642759; 290411570; 411723191; 990451633; 332825027; 398059801; 640363300; 287945920; 693537698; 282145936; 306438604; 847249586; 131540678; 369443719; 330733776; 781509985; 12753738; 438680734; 285309347; 314556861; 958172992; 219745090; 260961079; 730818986; 719235046; 839848415; 193625212; 243314522; 959630475; 176591567; 758314340; 316260654; 46265904; 295087648; 160330897; 108167996; 884371830; 142154423; 502958324; 565641005; 657529573; 475968605; 757412074; 327458913; 199322076; 966625898; 30609535; 416300726; 938067022; 564112476; 437062694; 512900551; 27007244; 21411781; 239239009; 428130388; 633965992; 603277200; 643979336; 230237357; 211907456; 642880142; 919276860; 414752027; 143108587; 634480737; 120346170; 450902980; 77506502; 274185939; 597194145; 662190081; 897906438; 150517776; 831574552; 449974368; 428361517; 312056912; 773669575; 489389838; 285569902; 79459623; 542069951; 712228583; 107133132; 28761430; 940563832; 553415065; 292817390; 711512976; 258030994; 354450575; 876418054; 336882332; 524380790; 340457841; 108415604; 300285695; 954742499; 327667475; 828543638; 988106149; 506696635; 895943391; 950797161; 553319755; 486769371; 512421505; 698746901; 409456769; 490436629; 275097524; 803398459; 585682747; 949493785; 978811112; 771552726; 845687037; 811847611; 496213004; 141468545; 129098766; 783328915; 440395657; 985895271; 855593251; 260813747; 483653543; 735144407; 122805111; 645551721; 279599743; 373817348; 920627756; 400492120; 270723787; 153974836; 866940480; 937663953; 68447484; 292793089; 988017721; 850209413; 522828609; 476495156; 765260244; 73146616; 250529999; 247408492; 961215420; 354036239; 714267514; 270162488; 315275377; 64284984; 272811048; 524935662; 375512948; 995059382; 223363315; 871038308; 837292827; 372529388; 975813179; 885087224; 763766290; 427781802; 216285222; 883435572; 939301911; 832218136; 699834542; 938060958; 450736661; 189622830; 686595908; 404014021; 145447413; 304864036; 157931319; 781374529; 51334533; 80066663; 474144275; 409862634; 174241401; 62369199; 750698486; 428009152; 201924928; 246472049; 849223496; 14321115; 528092793; 935882597; 267703850; 949060350; 119274948; 952920191; 752989341; 644805712; 632290442; 797867240; 613135422; 267184003; 864580937; 709291509; 930645476; 833849270; 26910290; 132152252; 774331604; 763015350; 687893553; 961045022; 878919182; 655664716; 75110999; 726722434; 392052977; 884378557; 768761661; 530037520; 335780024; 926209323; 553648276; 899025089; 769672356; 920142909; 332516539; 851326071; 474128310; 790250909; 465012543; 854401454; 741220762; 44974397; 266177744; 658219589; 41359588; 932579637; 845079905; 330929584; 719197572; 158556786; 444671906; 236216541; 652255089; 119750372; 78567224; 476084798; 16104567; 769990105; 4385926; 524021409; 965209151; 963443075; 387345629; 160924037; 955094541; 700752062; 170935525; 960810971; 809840496; 3982538; 19994417; 30185983; 236521818; 713127687; 203677366; 47983868; 717727818; 972556160; 232861568; 231662767; 904004862; 755642036; 29457129; 277769254; 585253452; 277981545; 115847117; 677230769; 487431193; 572866114; 316910769; 556676775; 488775236; 505033356; 541400509; 104393324; 356155412; 115222322; 492928764; 273205066; 625762419; 947496921; 65056186; 636060195; 260205126; 570651840; 995034333; 556903501; 761729331; 456869460; 100080824; 62081710; 208851629; 290945946; 514943910; 355417413; 486276010; 514831643; 631767619; 313131595; 849376; 746536661; 434813839; 25464667; 494667124; 194855833; 570764320; 273836659; 550422141; 205177688; 263178313; 391247897; 21951665; 626653896; 302342080; 176401659; 553027694; 72178859; 888660654; 398725672; 658265119; 733193879; 386076982; 912509770; 641719246; 455560541; 889066423; 158587127; 642040622; 728285824; 780839552; 406184814; 362814576; 712296434; 647535550; 163490514; 798221621; 593830090; 724650049; 86603361; 881761606; 53832115; 313828577; 875270519; 939997497; 407375321; 929479910; 872074954; 945068522; 109393944; 938467617; 414812412; 10409960; 25772565; 712551400; 926173003; 199685988; 390319752; 246017328; 428132190; 599545382; 545915202; 6876745; 851674151; 901278445; 668133852; 272606349; 128022117; 698685899; 403823418; 609321976; 717169795; 187808238; 254097371; 362365200; 341106691; 154931165; 771141195; 933732672; 616851683; 396374271; 219403139; 264212049; 399657805; 225757282; 196605253; 817450839; 225629518; 724288677; 859386010; 584885734; 18260864; 577643118; 710565245; 552254248; 436923526; 74859890; 705758579; 602000236; 131074437; 272937640; 592850745; 888013602; 277537830; 752852015; 792681417; 463336138; 983939838; 738028481; 724196602; 801781135; 729496683; 754972245; 747061526; 890067393; 298872469; 539917557; 928681337; 877221080; 815221049; 273229945; 59082971; 906025094; 860794087; 799204428; 954765796; 620688610; 537137738; 266413104; 653833811; 678846494; 107148693; 46164602; 816867248; 297129194; 121615924; 288405236; 601501449; 480103606; 152827946; 343611543; 373427912; 151307732; 341343022; 819318930; 533440995; 789778380; 578630242; 699687809; 980092775; 155496667; 683399245; 183823976; 282644429; 666145530; 436427448; 529534562; 870102806; 907770348; 501085587; 227549161; 459761418; 825139320; 784646555; 92825692; 65716852; 659496592; 232824395; 665691623; 161121878; 80933319; 688223307; 215275170; 404989072; 506895231; 680871717; 253949804; 978409557; 652192262; 644423896; 255706671; 893871805; 538609166; 486678020; 808014636; 624992105; 503405147; 992779407; 465631270; 765242606; 348571657; 207047104; 667282887; 812553048; 311835076; 392216584; 927785205; 828722269; 962107289; 217369794; 48204234; 653114285; 500894596; 346567966; 77436469; 822725552; 752908036; 207071842; 601161420; 279867888; 367588002; 488366613; 638716131; 206945428; 161165215; 327893869; 920716605; 609238686; 510144253; 674500370; 897332081; 964185025; 572973816; 269584410; 738300021; 652093758; 390547580; 644888977; 15760567; 392152302; 90256095; 79135934; 824849257; 317707387; 674326181; 759783729; 966232368; 259733935; 960435791; 528362441; 775640408; 719474797; 127387871; 51962261; 980940310; 316977232; 588277253; 342540573; 526928489; 376054928; 823828884; 558563255; 317350968; 255503538; 887395085; 289082337; 174189809; 646585598; 339256439; 459966266; 442937407; 837074550; 325331295; 409345710; 641930711; 182211392; 684324793; 610533681; 940268406; 410170191; 540887672; 767596889; 903265490; 37421414; 624682016; 565426447; 567388063; 375068042; 287281501; 463007953; 640610845; 364969975; 909198326; 856530971; 71009693; 304230722; 709243669; 560257292; 50929644; 854492979; 815092109; 250742891; 377486035; 223723865; 151521094; 445351469; 322216648; 384545313; 43030515; 477707583; 835058645; 783435222; 568116482; 86281731; 332556669; 285172777; 319304784; 944298492; 747267426; 435972653; 234406837; 850831516; 994458533; 259161356; 917919473; 946323815; 590866870; 858558782; 883315464; 811934570; 99590502; 276038125; 259772089; 402015391; 568414745; 548816403; 616441902; 890543095; 850554065; 132514130; 270183825; 118282956; 713247837; 428263233; 554404790; 451898917; 814738486; 860076982; 998482216; 94299634; 454903883; 205566914; 271846077; 250878922; 711272210; 804519712; 405266401; 713216399; 246101042; 373254260; 607711104; 205323747; 385630409; 973426684; 413705171; 379357265; 487948061; 457914101; 647279841; 63130713; 45769349; 495055788; 577397462; 351521353; 924889771; 577010219; 133267422; 434294021; 189827663; 196341921; 429681985; 933398897; 482198966; 43473109; 712956207; 878175367; 748910972; 750409572; 595710400; 885205199; 100840886; 475592361; 736782579; 251267673; 295152869; 990954632; 911030842; 677566837; 299513962; 956572824; 343725589; 476999838; 120098873; 921660328; 259706027; 155764922; 348491650; 580898952; 54744830; 701158327; 276009207; 599142801; 64003728; 602197008; 701035209; 858970919; 489725061; 670611656; 420049812; 915970181; 327594742; 598336881; 645769244; 124629598; 93258424; 838587170; 945581794; 972568743; 554982540; 260202586; 683222978; 263200192; 337729622; 753690806; 812311178; 994499840; 700721887; 273722148; 706798544; 62840720; 743314081; 574985732; 370004104; 270260137; 890910361; 513165174; 416040337; 993086525; 499898267; 685426513; 217404368; 536985014; 902042262; 627370239; 141241742; 177100540; 623762037; 821122245; 807498404; 700532187; 201537832; 799351125; 233905464; 661925349; 392200030; 652804348; 498793818; 731108883; 854709274; 366609248; 830076707; 47792956; 179488799; 254449067; 920253666; 931931681; 85063150; 408804226; 362184849; 65475380; 470414731; 286204643; 194045790; 840223828; 278060791; 748022798; 687067234; 617291517; 231458253; 815834204; 247187323; 416819409; 139888134; 580423209; 740694299; 441597397; 928330264; 860911551; 198180356; 31207990; 670965392; 918103020; 298005583; 503649707; 390119991; 222904065; 691826545; 794267812; 527356081; 261371633; 53799248; 493569238; 499494306; 811954487; 450671545; 593881102; 861247761; 500349865; 984956760; 348881212; 238898369; 51925851; 140795233; 146812238; 976845190; 926507078; 776401657; 973977046; 319542959; 650371605; 703915384; 595916887; 489247914; 902731663; 675251957; 355385882; 541569982; 416725711; 826311200; 485544719; 728710764; 294826729; 587381335; 71506197; 338861067; 461664600; 750974253; 799043876; 697881863; 386962531; 120073323; 51980544; 597206945; 167100008; 909448462; 285646025; 423071721; 910340263; 591669951; 505009781; 741048131; 172747664; 625745772; 992007875; 420635320; 698439770; 205060455; 476539910; 527088152; 308245179; 515952859; 680263972; 818047545; 109463172; 729141376; 927832725; 107885821; 323103873; 806109936; 724893457; 834749467; 792477316; 33112255; 768545839; 653609548; 50560309; 538964995; 989299606; 911055212; 891886750; 833000883; 953543220; 484841399; 275005795; 748180709; 680692618; 868364378; 756155580; 536639201; 907976035; 928327361; 271929844; 744273497; 488463221; 863939852; 498463600; 407434223; 803529914; 288641798; 848073858; 997476638; 888140717; 136634180; 941959940; 189132057; 406424369; 913391405; 776343648; 643673574; 238609772; 137207148; 528639743; 37228254; 67848085; 943969485; 284615267; 833172452; 13936530; 47154039; 367151477; 597956196; 68907850; 937285129; 840496172; 886452027; 972631079; 210614486; 453232156; 411378388; 916348876; 562780129; 42411267; 362859653; 236876989; 63429436; 518756760; 683078480; 195055935; 997881204; 273469350; 135294073; 895899648; 504569586; 821923230; 622765828; 204761819; 837153718; 843738097; 114578501; 808707756; 413096248; 40301403; 710426501; 816997126; 542766907; 835325038; 415226274; 534819205; 699448574; 446112970; 638703812; 34782637; 197319290; 785914000; 505753199; 337069284; 480009994; 669364264; 174801251; 832625841; 916674854; 457336753; 307663939; 526844759; 82591284; 798644865; 421978467; 635340560; 215624763; 299176563; 289506471; 561243274; 897318856; 358876871; 305196296; 986420735; 82787891; 638399497; 747671921; 360201260; 755415131; 287578032; 822326129; 45259867; 847794028; 498546025; 930707187; 852840083; 36683045; 22633146; 58168256; 614184710; 281716685; 695294646; 126844102; 884314290; 334169409; 233219187; 250429498; 115725024; 14688906; 433700321; 594935993; 297880885; 360232101; 688423466; 699439847; 623388527; 216161199; 234379689; 833486619; 852270426; 745713105; 466456948; 910639312; 146756022; 834840770; 355289007; 372847708; 661211377; 597296877; 539099087; 659257064; 942842740; 98919366; 554433373; 31447235; 678583434; 755288119; 345626868; 619733276; 966933067; 384102165; 217356781; 989761573; 173056867; 640790874; 2763688; 153653850; 249167913; 692820118; 135496; 222074741; 60103080; 155073379; 837032798; 762943992; 136265398; 508182254; 643976666; 402210364; 45870844; 943426375; 4233875; 567129266; 838936497; 968701592; 730283030; 284296722; 57683495; 21265333; 620956154; 757355995; 850364070; 992909733; 650015825; 387841578; 666061114; 480815410; 334821416; 316486978; 178518833; 677891574; 415820695; 908606220; 449431480; 663666055; 71820030; 393140681; 4894284; 400475413; 966414297; 892380430; 924813795; 388017159; 689530464; 112598501; 859747346; 356142632; 406767134; 768779313; 265562156; 641325210; 350430149; 215965983; 226075042; 4078570; 196830379; 946395527; 509737810; 360561181; 874516617; 357030979; 398482668; 635301664; 779851943; 434947363; 99565464; 231558591; 610436046; 158774925; 872813757; 882848273; 110258487; 75659726; 220431860; 699876385; 621039731; 716333097; 460253787; 234174190; 384655273; 90085425; 617402144; 717406241; 721024333; 334170866; 909643953; 82179475; 374364121; 365631848; 510592627; 296990417; 689219808; 226035033; 365210617; 338894027; 69196656; 361252214; 97327534; 557041556; 520542549; 894694523; 682773587; 549232909; 508156394; 100328961; 114503854; 400990861; 8775129; 538671047; 701652494; 213797193; 105456172; 700742296; 716433970; 240850991; 983604861; 683669864; 868902283; 745012844; 953160286; 196149903; 19797501; 121556193; 335069560; 654911562; 28629223; 37078931; 176765500; 119634305; 55194190; 291624122; 882507728; 296692222; 252673094; 553032586; 826782799; 607389521; 520269570; 877368324; 255381589; 464414850; 815446841; 379901126; 778964985; 730538769; 774193657; 936995082; 410631333; 217516935; 767586668; 807546907; 603468839; 469263663; 151934408; 481060594; 130498305; 984509549; 40131792; 198120413; 539661606; 4634204; 115403576; 651339502; 562424455; 105355632; 351841854; 428637068; 445063772; 77647810; 913307529; 213116906; 935262736; 578838510; 648756140; 664678803; 393249287; 336526046; 731906395; 112122331; 744364101; 811327798; 117977037; 878992381; 788380250; 46252097; 871216303; 805476786; 120910819; 76933797; 78279525; 877866916; 366321785; 858513335; 465860558; 549530172; 664660078; 544383310; 717497224; 304272802; 263040487; 633794279; 9882143; 333168730; 350107127; 846094748; 222959279; 444830568; 106721657; 425681136; 121033601; 515281109; 749899391; 876051460; 622981884; 564357240; 441956274; 156714363; 744725273; 981964425; 656093936; 655651932; 218528239; 174751861; 390587341; 477738225; 730205415; 277009613; 275650903; 814582262; 384437177; 691339514; 767457167; 490029856; 644318469; 671685959; 26730300; 196363399; 435088080; 110485903; 672227232; 487202742; 509746765; 478541880; 692392912; 940732485; 829178325; 259034712; 618316003; 669248359; 432426980; 619558927; 659930758; 467990963; 847249811; 607398665; 332400118; 427573769; 147912417; 351478051; 131261000; 688859924; 302665184; 577707013; 842972551; 979653766; 150195102; 334905819; 178413724; 328635598; 614977465; 466062090; 154837206; 470064868; 792463664; 311529973; 298859742; 842321258; 666385831; 780049850; 736544056; 406725512; 705271552; 421074040; 159231871; 237349410; 976500005; 695137659; 836413720; 955968990; 15228263; 195083845; 27911060; 329721009; 904901023; 178046688; 280684151; 164036032; 520821138; 867389640; 331011361; 257532803; 477994721; 710137048; 439878942; 944141385; 452529848; 564767691; 92742400; 55245765; 544093541; 433702430; 625172501; 801640689; 589259290; 933704498; 484432773; 934889363; 322530341; 976985492; 378325950; 386807409; 741085510; 985817668; 214586804; 756365519; 209150745; 533572208; 794844225; 113928437; 921524034; 338069977; 302982574; 864041183; 383769249; 83056502; 283327759; 791888621; 48724982; 483883280; 270517291; 306158502; 166884030; 113740652; 757310079; 157070723; 76897164; 534222037; 730994329; 80661216; 879110609; 603639029; 759649075; 490331938; 349897879; 929805724; 259481009; 207190289; 16563597; 699420776; 874229687; 595541109; 714907032; 784721093; 309187483; 729561427; 492142566; 831007873; 508302431; 33038817; 608348603; 152817656; 405237716; 985682011; 684551333; 927032937; 363716281; 38414066; 640739106; 975555036; 51752881; 131902399; 863725658; 543383394; 819406343; 394085882; 186977748; 379090547; 553001434; 99574491; 643277025; 5735851; 396377709; 405316928; 940572054; 809212344; 16600679; 794265701; 602887552; 84709338; 884731221; 419142874; 211690433; 148865430; 752137121; 640056619; 896097187; 266692157; 606929172; 680590309; 615203049; 897806623; 50418224; 548441633; 3685210; 940130055; 159718684; 964837371; 511275029; 916746829; 943140012; 558107004; 830925002; 427874024; 543845029; 232185792; 200955652; 482291340; 520892074; 854427873; 428281684; 290409805; 472624468; 399068836; 174848496; 459857570; 302828734; 519927154; 543276936; 729077687; 687288019; 490605009; 81009771; 145480452; 403882915; 644231960; 234331507; 290586925; 944876052; 286404972; 756891076; 686833042; 861922003; 329397496; 311347126; 449165068; 645215355; 758114971; 828217262; 953399294; 16589279; 570039527; 974395327; 687997639; 987370663; 165487250; 87453989; 386867036; 690346928; 459934965; 78308132; 66423094; 689926028; 574534329; 300011216; 638765049; 152526746; 918121765; 167405643; 711558113; 171731646; 639746161; 213498637; 458622712; 923537579; 403645326; 514838512; 917662531; 968724472; 138663413; 461449486; 408934839; 847297755; 687592889; 365219226; 19303767; 965497968; 923992532; 460903392; 322013944; 934361824; 75650549; 799046007; 706898352; 453974419; 548247275; 526204439; 389231750; 283704223; 93706973; 99705835; 771999154; 596084134; 827939194; 793718875; 369991083; 911845143; 258518926; 733872243; 345351803; 841920064; 89124813; 906000908; 937565824; 753571666; 5073504; 118904995; 158550672; 290696755; 347065303; 788064957; 735001313; 802366638; 289634; 936587428; 593358220; 344975653; 571837125; 476373717; 15012571; 261682882; 501975824; 714738988; 467203865; 125242158; 433514336; 83776959; 212178554; 162875153; 814220286; 571394877; 714351330; 672325427; 68839099; 834982674; 212495414; 497657983; 954177126; 873088522; 872704438; 960839978; 409288298; 586173681; 535641770; 4446666; 343349013; 104810877; 981493694; 400385005; 295211199; 605696855; 926443425; 839945484; 75925086; 66483862; 39509997; 883439326; 931859236; 310504680; 335286281; 389030615; 944502668; 313653884; 629080141; 788643086; 935470534; 320566538; 987474008; 216513281; 974306672; 732765111; 879734309; 26558825; 210050369; 267930502; 800455626; 359181400; 277669252; 949069984; 543609750; 233232894; 823232293; 461300901; 775132902; 599796388; 161436834; 876155905; 729465038; 797173018; 272425372; 131050927; 118185683; 473137822; 297411751; 504112514; 351139200; 810133927; 729742625; 48567996; 819585300; 705797866; 994249236; 237264968; 584894608; 860847293; 536374241; 451726445; 741694908; 638519272; 292750585; 889427066; 514545607; 29813529; 604297063; 511692233; 854768316; 498884968; 420253942; 616068162; 994543256; 925144297; 830455355; 379970687; 401795333; 39665370; 62699411; 57787904; 714404208; 581818366; 539423601; 457707772; 129102851; 831766586; 210186240; 736646498; 182323764; 465493818; 311463768; 577184491; 22582706; 806613440; 306172788; 641725415; 210967557; 5360114; 803167245; 307724100; 3191382; 295421530; 46191682; 160736494; 298308912; 992950028; 443069863; 1861804; 999978070; 960367494; 104226904; 298641531; 263323251; 25127384; 944535356; 584948530; 730798909; 372046823; 18398708; 675249940; 621293267; 287290813; 750215603; 885020075; 232815657; 67990115; 876334605; 380572865; 935843595; 398713344; 156946674; 713542848; 274200599; 254218626; 341782720; 808494794; 926850890; 216171; 762278065; 827122270; 662284060; 291415141; 930313282; 848385559; 387539985; 367042431; 500108908; 6238546; 55222123; 446947634; 545595838; 787046847; 942458577; 944561046; 431914705; 384158677; 992990204; 474876567; 364820464; 643511118; 600278173; 93056526; 274144218; 166763049; 373583075; 656927410; 177845305; 112176156; 863703418; 133886378; 975405053; 206466510; 219495619; 768349225; 220816902; 132353280; 822874692; 336803861; 220859658; 98832326; 381543485; 885710372; 329818206; 91211382; 923133308; 848753740; 801163608; 952295254; 773435718; 377394041; 717167000; 331179512; 749520701; 392473732; 695296608; 301954407; 913243045; 340430690; 367776826; 744634512; 825747631; 771581576; 946982172; 752568203; 656578791; 954486987; 518776941; 396058077; 806516400; 808482489; 578170380; 765833304; 729415520; 773630297; 728199437; 293473061; 192371643; 689263976; 132106109; 304124003; 749458128; 946129895; 833282698; 938524997; 324662387; 610979214; 119305720; 636872264; 108426849; 711307825; 723026877; 371998056; 523873981; 315808439; 337794035; 216425701; 247263602; 300384420; 995321040; 575534699; 586194523; 904305706; 452677296; 148465985; 47996954; 8696841; 930698144; 780524835; 692449916; 680677899; 674853883; 85621279; 353941257; 234907702; 199050028; 685132749; 904556588; 906210665; 944974047; 473955554; 574289358; 808210082; 486127859; 454296370; 967203940; 243078965; 117980326; 134077763; 146438551; 24577226; 822848552; 229063630; 564650240; 618220910; 900098963; 814476785; 420652255; 842114899; 915344446; 685804195; 650324655; 741309995; 758411057; 826271867; 235532936; 868432870; 349115519; 436033698; 401553293; 242955628; 47324182; 610283492; 747227548; 976199971; 530209708; 800407598; 725923382; 878652336; 464045608; 163091104; 634245446; 376109733; 626943116; 784720804; 305068853; 706728158; 405215668; 578817138; 755457295; 701269499; 879421749; 821725372; 400418474; 749692925; 129235058; 415644434; 542171230; 567048234; 875886554; 867777348; 53372952; 193230606; 706817432; 542619345; 652072343; 534300465; 694358898; 859520971; 123404375; 93927350; 461983173; 327944286; 185468777; 713484499; 174173140; 852398481; 157583882; 757054177; 272422878; 441525677; 937932404; 196355609; 432697636; 898097872; 928889185; 289932873; 450768008; 55738955; 191872666; 628892374; 365457023; 205106958; 734327271; 735508802; 203611158; 68127015; 171847505; 269245163; 363542238; 635965271; 295990957; 429977984; 126121269; 585997776; 310604507; 768311454; 341204071; 14065295; 901226690; 75980080; 733146249; 25867520; 34346053; 120147876; 267555879; 301556282; 833879052; 843944068; 656307408; 61730217; 821190340; 24655288; 874274770; 64447875; 713051176; 830796007; 308878628; 233699602; 970148957; 830490979; 756679690; 483110771; 463538391; 15586322; 594617560; 389792; 906423338; 111429312; 983728932; 685047707; 471892369; 795061526; 631374293; 256798159; 745543546; 587685094; 455029969; 537025944; 89469549; 897062439; 649498216; 979499603; 815329051; 919778649; 947987399; 179234439; 620527023; 268281665; 938102485; 976342193; 549706471; 835388408; 721638017; 455899658; 629493030; 46564404; 411661455; 976409204; 864650181; 837754339; 908201236; 605855973; 112166898; 586692085; 694471783; 775511362; 233053600; 701927921; 409852769; 510296852; 597967854; 203211870; 752457138; 265676367; 83447782; 962838203; 38403167; 687831288; 142708251; 137572041; 592511272; 560169740; 369970975; 82564165; 425972761; 524533142; 451333643; 305864250; 868463055; 707075470; 750479351; 546787523; 959869450; 485773607; 801983769; 351652728; 208723143; 599900391; 453631015; 760911837; 134810667; 428161134; 980669654; 455151357; 763047060; 465431428; 499817764; 397311398; 434432916; 140121039; 535337886; 644458695; 769917599; 141332517; 186722156; 293092668; 978221272; 651930801; 224573006; 488531706; 924007855; 899478699; 730770649; 957950896; 705121578; 979012630; 661522772; 978071303; 941421074; 488688487; 610994226; 547910532; 346837842; 66065227; 566367689; 187894785; 847978414; 447547684; 838780664; 336857899; 204944326; 730051587; 665839627; 258337726; 372422548; 341713939; 560923312; 97300577; 761787653; 356410972; 869200548; 775654017; 143141762; 530325991; 440708338; 80793973; 923741126; 694742166; 133435955; 596708375; 220255416; 897087125; 591452585; 90611240; 906842421; 907587153; 16904446; 46375617; 644907562; 679590337; 309398775; 404742408; 478546794; 326763442; 737796184; 670074792; 589760673; 458178186; 951848316; 291013388; 585581284; 182544259; 732874393; 633765291; 479023395; 664341462; 227866916; 440496824; 715701761; 987106438; 823325427; 869524205; 48559726; 459855222; 930316080; 205502007; 717298911; 200734565; 941114014; 838329859; 686456442; 821972081; 766205384; 462039938; 736227003; 965554341; 983051608; 924766654; 500432947; 90444312; 546015721; 623937343; 294459334; 913605042; 101017094; 446340727; 7836468; 314995833; 300193848; 712965755; 970594207; 91738429; 881981465; 565648082; 336195622; 290700620; 992204096; 409034618; 189002184; 397320147; 588816424; 267969483; 363061523; 768218706; 84714614; 518571798; 586857517; 836432504; 74560523; 948947207; 757983958; 139727978; 84382272; 573047656; 724899354; 508308220; 253875387; 580679782; 643695463; 292354638; 356338950; 478699206; 58448196; 420376028; 657286767; 320007067; 246151559; 878764149; 296711043; 592410667; 10568867; 585471558; 536331077; 993947035; 178583876; 775827396; 501796231; 923239192; 110225978; 767245972; 752767996; 886328642; 758379909; 167603767; 840718557; 484937861; 505133615; 936847885; 194510870; 697417611; 977547419; 126618649; 921186609; 713324254; 576600549; 677225630; 671386100; 788978691; 421681162; 143504641; 185579187; 348248513; 662598415; 60113435; 715228960; 187480280; 722551237; 980334501; 590330030; 848732957; 699634322; 80268823; 208378506; 362833224; 386341785; 810121991; 495690934; 53946695; 382873441; 435481389; 427530752; 611352170; 129288216; 406406086; 990315783; 541065402; 609949369; 430890187; 2947243; 949013254; 416624121; 845953837; 875868003; 274902308; 798795895; 531595981; 965261218; 742113680; 310040597; 808660413; 968403862; 581330058; 973294187; 89006972; 413337831; 940020313; 557211491; 14580100; 105741647; 554279219; 471740475; 150018178; 186039465; 553684874; 538135400; 466431382; 982701750; 823903919; 598640543; 327795616; 387564918; 938627799; 921689244; 534616127; 764646423; 948270555; 513890077; 139490050; 159804936; 53184469; 574419359; 4670339; 138007721; 953020732; 430662493; 371464899; 40936869; 334028520; 222032197; 142808692; 295254046; 260486072; 291398412; 314836737; 134949970; 580427675; 108533554; 255702859; 346178258; 420005350; 10539747; 332897142; 501882224; 511173200; 48279312; 55075005; 990787671; 286910859; 522277278; 37386125; 350624157; 187016110; 138099628; 393042624; 363061945; 349947988; 813782085; 758333929; 668568615; 745638665; 513875030; 120154674; 861436891; 745556244; 777273430; 588467903; 406947471; 446158060; 428652575; 515427286; 611862693; 912620998; 337281932; 616931272; 850126012; 51180426; 369647120; 881472215; 3003687; 189766862; 423012861; 187489227; 545672730; 116479320; 273949032; 819043008; 424542917; 312617791; 4759068; 933445960; 298415764; 868519440; 696295124; 855794752; 23357612; 563160673; 597931176; 281903382; 93083508; 177612095; 128496558; 905732051; 971774804; 783377889; 63130801; 907832739; 648026978; 965527041; 87479593; 52165052; 977130959; 548868669; 166006145; 850266317; 426860290; 86617559; 346695931; 876195761; 479635224; 287669510; 700665509; 394700909; 391737880; 573085877; 62530738; 309729237; 573397110; 445831080; 348329813; 290738351; 472922928; 237249089; 442662541; 403774612; 922490582; 759846254; 597774738; 583228918; 631813345; 668568976; 620278603; 599004911; 833015799; 271460226; 452501270; 228856253; 624487660; 356440264; 908974906; 384891699; 924330567; 328999732; 864645800; 217122286; 444566724; 390088872; 771430184; 831682123; 138682027; 525016624; 142328279; 724502047; 923433668; 608866413; 30254329; 139475559; 709660875; 679813341; 208001394; 372068957; 738001104; 621912998; 558541819; 896705505; 77751679; 733567768; 462165806; 806614597; 271859812; 914307444; 382534983; 997629370; 730199653; 876452211; 257680856; 924247697; 139393682; 775563538; 651038233; 652050081; 868976294; 650325291; 230640109; 163540671; 275882470; 917863931; 300323333; 612860130; 209243909; 855612637; 45753044; 266004767; 993647108; 700837994; 44630317; 967101176; 610354062; 369743647; 228164613; 514544486; 434603945; 895326813; 45362622; 816382667; 548775210; 865648139; 904805948; 625367226; 139448857; 588388793; 369683361; 150138201; 433969899; 521437556; 22960569; 355058588; 176359581; 529320749; 247228849; 685290079; 649107497; 88922435; 704789487; 143859945; 565681078; 397349487; 637764413; 547748749; 947767655; 888210644; 953526207; 685971171; 438519098; 771687513; 393410592; 940619107; 850731896; 602379227; 411850800; 79470447; 420711720; 293754344; 877638846; 107846827; 726215029; 333410080; 830374361; 634000372; 567183573; 472724541; 272895349; 375824215; 526928602; 607412895; 10679176; 591460897; 826623062; 412641625; 494058630; 18124599; 511424779; 884478686; 727206321; 543350741; 450592763; 149757264; 651122466; 518513838; 285732754; 71478075; 80314242; 429267163; 383037866; 736766935; 100536270; 13345576; 904922373; 337981857; 738641569; 858419443; 502733597; 801805202; 870212783; 64166528; 804557197; 674108543; 504388947; 669467646; 689689155; 83889348; 967929885; 97788917; 624998188; 999110192; 595125573; 765326823; 18506023; 607992291; 191283825; 883467869; 640843752; 418344665; 581022957; 824369753; 141663068; 648677026; 276465461; 16882183; 751494246; 28653440; 299619821; 25445241; 368245965; 631070325; 244113571; 543958988; 250499064; 251952754; 876258049; 80391134; 176588194; 854091226; 594097468; 311352364; 425035866; 862682608; 171356131; 641425043; 512141066; 242891722; 151902131; 111952973; 724801250; 743153297; 991200555; 760595067; 813288327; 397287476; 845132365; 20030118; 503778855; 303465534; 624869262; 933971979; 184284126; 184175029; 193680870; 174438509; 909181501; 624085807; 633609567; 293304550; 654582117; 820885139; 435178992; 333436593; 65145734; 99044971; 569910471; 93485083; 934130945; 359732018; 234084823; 153917278; 134662438; 833950943; 4491618; 132744782; 734491884; 133012598; 387170275; 904908884; 402878784; 624178696; 260819547; 811868669; 434563442; 831240811; 718440803; 638971602; 687968303; 104577444; 145692867; 38090690; 191772326; 310695741; 972943207; 432980067; 430365514; 533743887; 180127638; 171924806; 963402013; 193438641; 317140688; 578120132; 147698126; 462774292; 350163983; 329260420; 605284167; 661786948; 21405110; 214704079; 990926018; 744536073; 392214473; 241263486; 370653313; 557423579; 714879005; 987135655; 578653474; 170179641; 972822288; 546235624; 975412793; 919313561; 378826961; 833190593; 591045316; 801884211; 720756616; 117684342; 806023212; 22665961; 520846810; 702018728; 373287289; 725996812; 49653371; 492643278; 964172546; 598900595; 966828544; 823933265; 358172210; 300218029; 482368016; 40231699; 867433770; 387672976; 413671836; 260359276; 244759984; 750438530; 274184363; 62742637; 790237718; 404966332; 78335987; 995152419; 416556790; 506410779; 558278316; 343423548; 117353689; 377850069; 325183448; 524473605; 126097172; 965263264; 565835459; 148530859; 99145339; 73518511; 619314042; 892842342; 669593030; 157219371; 500112251; 16533326; 125015285; 753767759; 444923974; 418738185; 843337907; 39068549; 18398607; 41790962; 778183235; 802842761; 225471446; 56086864; 464471636; 279714264; 523827677; 690000606; 274845746; 577465910; 407139616; 617257032; 827284904; 274261188; 842215877; 794765069; 916361968; 185171889; 860171668; 982468226; 530769472; 430396482; 914905983; 111756846; 296362200; 86295910; 844581627; 829375857; 870776962; 828250508; 882314141; 883661383; 891833480; 744289163; 55395406; 850939255; 203065919; 704121952; 726171955; 479763324; 747256635; 733491837; 883344734; 975866356; 74613810; 739560869; 213661489; 660376761; 941367130; 487078515; 897686333; 928722865; 715522957; 368786754; 461896814; 765584763; 843871047; 458052626; 313906411; 164528854; 195317924; 766910643; 955800036; 134557542; 292035855; 495705452; 138124140; 339422162; 12847197; 322704582; 903704106; 399216881; 592712640; 777010870; 890324006; 619126809; 512153021; 518467845; 845957042; 883523342; 841450419; 644704600; 326573751; 578996451; 186676474; 907783996; 545843120; 196793726; 344981562; 974564956; 690726715; 602996002; 455954386; 966277204; 31805654; 84283022; 242218050; 111560802; 489759674; 761291856; 279878360; 759876982; 489825174; 936607957; 263192874; 814082347; 493584990; 804514692; 882930428; 730637595; 975161462; 984356057; 246837585; 122294835; 534927017; 9150432; 138145749; 473628624; 765238411; 289029466; 296461798; 75333273; 20344581; 856748251; 3253889; 327019966; 775519567; 598025560; 123154931; 222219723; 964985650; 744448401; 883036655; 882700598; 832733881; 619092150; 988453744; 277127432; 616735026; 995541301; 953428866; 951782814; 746337806; 479475002; 610118144; 163847354; 432588895; 379810697; 616924871; 411597718; 775483393; 713984951; 165158360; 51096701; 920820780; 843875635; 82569976; 23316312; 608041671; 808909162; 156828680; 403392120; 613354108; 119993846; 798915557; 268687622; 238501275; 114873907; 746111502; 952437493; 992964014; 255920052; 895767598; 950061730; 834958520; 6260151; 518820984; 521892396; 494720417; 748046539; 395689278; 354896458; 67277447; 595665550; 520211457; 6939113; 971741404; 658068022; 213668462; 515553911; 976021812; 567377416; 733439442; 376360597; 678396046; 409599866; 892422394; 734127012; 327836213; 512772256; 433586811; 507107991; 290126123; 439908188; 775553325; 874924164; 742410603; 228798234; 305794769; 582273251; 760276341; 610850916; 16305915; 810051582; 995447153; 188400810; 529265745; 115453972; 385213159; 512082220; 878084202; 252444888; 993085143; 514462924; 524950542; 421036295; 19562447; 889352566; 75522430; 201958363; 447424413; 699973379; 534875884; 816412501; 839027956; 214241134; 309456700; 500346344; 707542904; 686161471; 384807117; 36133326; 940919650; 255246337; 203626637; 340988865; 598164384; 417340743; 206822797; 622625529; 142565972; 293960790; 510359771; 357528158; 666375621; 230533841; 971476294; 807351569; 747375054; 677396447; 640113521; 494309367; 100850234; 938372089; 816887698; 111055408; 510372777; 997605314; 206373273; 339205673; 460147546; 117710591; 912084635; 888267784; 309813565; 590349704; 807030825; 889987364; 744933409; 752375192; 237424752; 32956202; 106959243; 675474761; 115482323; 307388277; 904507964; 28105232; 508543157; 910285842; 543123034; 975847701; 656762063; 371442473; 386923283; 503445049; 865938456; 306330433; 999340435; 476965574; 401330385; 168601543; 194193112; 973318809; 66621951; 842022892; 460551406; 260643528; 495469432; 567954203; 254175588; 455195458; 344210984; 534972103; 920098096; 970544065; 818121943; 920955771; 121714032; 914729591; 307107938; 464319798; 23994455; 271998668; 594034124; 631801969; 576241071; 609047540; 402506080; 809624398; 179557957; 314826272; 329019081; 394128753; 311528152; 647200111; 351019838; 885897300; 701063455; 978065201; 216946510; 447649941; 275687837; 889760104; 939913980; 754815293; 461283024; 349123819; 225739767; 557756574; 200500331; 867848172; 279755978; 690082284; 941826627; 302469376; 901627996; 482996489; 984258509; 669096568; 805254920; 49761820; 525008937; 848220708; 907109112; 468196344; 762478612; 899869314; 712986839; 812132901; 216584716; 237490074; 792702365; 450253535; 986999671; 385766885; 732438840; 318841488; 569365667; 546584131; 263213064; 653112886; 94107127; 116901870; 404542654; 711493261; 993542671; 734074181; 547236483; 59639057; 158705309; 561337821; 398424979; 780911604; 74903278; 117607480; 450486024; 697634154; 695311575; 81695937; 232377628; 956706647; 613307710; 866555862; 688796364; 586767250; 896482228; 452542431; 726999356; 703263045; 374592560; 748561191; 573714045; 896818573; 231899745; 612033150; 436365650; 22298705; 582673944; 402091484; 765156263; 723277443; 912008371; 111862302; 240438291; 762217732; 682045949; 286654980; 179972077; 416788235; 779538767; 805111206; 808325469; 948138512; 280206076; 144420510; 159672849; 92619793; 182838633; 95956787; 913795001; 623764671; 603708219; 239963837; 641379050; 420473401; 614081745; 221084081; 920009623; 396518146; 571834631; 672378426; 526933373; 354606608; 788035789; 545623302; 961830661; 932223324; 333110692; 163671255; 169804151; 814702831; 789725368; 784650000; 833697166; 821256167; 54059460; 974535415; 257214523; 373847391; 211881760; 202226475; 565791018; 668822067; 788266097; 561416126; 476927883; 718978868; 909903716; 198215687; 884374859; 396617733; 964086201; 795219868; 596033080; 377716678; 113706750; 811987232; 576044147; 221209155; 852475394; 134889783; 699267396; 153315378; 979187154; 935288123; 182149824; 255216589; 881538790; 631679378; 762356647; 115994612; 83728326; 583211339; 397020670; 544744913; 619435410; 334300136; 385726758; 168520286; 540839095; 807273614; 120648622; 285335901; 183997864; 2043740; 593551504; 692448325; 657503847; 579293881; 428626563; 195222528; 607440385; 974444953; 438447595; 559585492; 647707357; 847260648; 340723685; 410208334; 514844129; 705101916; 151820061; 471335460; 200759107; 612441677; 709718945; 449330869; 116174763; 665621024; 475298901; 820599227; 335045349; 656804976; 210298915; 585510452; 783656789; 875371921; 614910503; 871129129; 951329455; 119521283; 175620890; 184122126; 620537014; 610316410; 682946529; 134436837; 691048929; 375196453; 100670951; 823270276; 583373683; 736584562; 609299257; 818277182; 851315716; 680387380; 934452263; 907999285; 764299049; 321365405; 314221627; 613056685; 560444217; 302541666; 606333067; 846003154; 268358026; 364149785; 82069597; 951576492; 182526837; 675079055; 318157063; 463220587; 791287145; 867759910; 62358070; 860477145; 438468177; 177071150; 214470288; 423322928; 556990716; 243095980; 679389379; 529566764; 836824353; 428105600; 839013945; 316700332; 799703262; 566321870; 285196972; 984548763; 554682146; 434555824; 417884292; 185525306; 228830196; 461151248; 634678092; 36451933; 407805218; 47401782; 857174036; 332305672; 514107848; 371684996; 862112404; 25382775; 316320036; 748098178; 396748036; 851732610; 851208989; 489088174; 153337010; 519049902; 610619575; 189647647; 746845941; 182260345; 611648063; 28563007; 767439638; 255261578; 594054679; 959600479; 640675781; 419590643; 402740208; 627505673; 123709908; 335393013; 373020213; 293301473; 181968473; 251192746; 739292081; 488331580; 270899573; 304087602; 250843565; 145105072; 893656715; 340286293; 48108172; 392977087; 879846609; 865618216; 755619014; 779537941; 379927251; 225701632; 170245826; 909800050; 947425042; 456901985; 600677787; 519396074; 799352185; 373564636; 313522; 43543400; 376037315; 69236069; 85268651; 455265717; 692565345; 556732399; 912010652; 976459108; 943038789; 687819347; 93742940; 263343559; 731953030; 594105763; 864625215; 873606701; 780657473; 567691521; 538598469; 296000459; 481351061; 626406399; 573579952; 737942593; 247541014; 623273377; 978228806; 490979452; 688789276; 964442441; 597170672; 431815215; 428128065; 210334627; 896352805; 922238517; 22978901; 56265874; 719041973; 742660897; 823128244; 374075397; 916990823; 275254871; 197704297; 989273446; 370134254; 927028884; 638065367; 448561588; 852987736; 478335231; 330948070; 615118618; 803729160; 703075758; 788175491; 38892123; 480085281; 817449930; 549152010; 939119308; 308490311; 321672869; 697088342; 612720184; 780003628; 920402949; 166008591; 724266051; 194917295; 465904825; 572805048; 277267949; 647461951; 61749989; 900662155; 969794724; 998358022; 429842175; 220559310; 286710859; 14328913; 514928027; 465186078; 327192927; 973201322; 993786557; 919089360; 51243744; 120872027; 665978363; 262881196; 798776210; 979163328; 885729657; 772916126; 229423298; 806534276; 817231642; 952497773; 162383257; 436454722; 726536912; 581918860; 279541219; 589765699; 215996002; 607320667; 162816337; 63288398; 823531493; 911869840; 8694232; 276370109; 182897472; 256975892; 171090956; 667180517; 116691404; 79184375; 133789360; 605609122; 712506406; 135571523; 450966423; 626096677; 874950668; 574558373; 382310154; 471885363; 589971357; 921552835; 9542904; 639668044; 189313346; 317725412; 623972251; 332479201; 504596274; 712451902; 802718358; 536524638; 460684058; 122107320; 922189837; 691218768; 164247671; 969937800; 611281305; 263008695; 367229393; 586048651; 861453782; 167471838; 157104039; 762918603; 712252718; 717807572; 977247606; 442558536; 384197658; 648823123; 717214619; 568906868; 905431622; 904314411; 303856446; 10998048; 377918238; 129610395; 780630835; 968110717; 827305938; 391135789; 972399035; 581346853; 998813454; 132990688; 483869678; 861978831; 53545400; 688869781; 961327384; 948394285; 341725148; 314922955; 278245907; 614761297; 886958384; 81054050; 892031394; 117040139; 385074054; 249827990; 971713053; 770628774; 685919230; 906539561; 256139030; 126047428; 989302180; 642798623; 618277131; 621746003; 607302255; 404913183; 52417652; 35961656; 642389040; 870215670; 235004457; 449195318; 343977502; 168182850; 672705525; 697716834; 825464548; 606935619; 829812039; 899906909; 999659043; 371737782; 686325280; 79250015; 512249278; 731960679; 266084172; 375268530; 845653298; 519424770; 300967692; 161194525; 269079027; 200212333; 399165232; 947340192; 445609420; 524552813; 536915359; 961490620; 449426111; 417561213; 30877431; 803907250; 354826006; 2097029; 545166313; 860369142; 434479940; 308380967; 851363717; 25447691; 183376278; 213515233; 396949452; 994979281; 113767566; 650075662; 441104935; 481649725; 206029197; 657651333; 243173554; 278467842; 669828667; 637674947; 155007935; 415409762; 576937276; 953519569; 559719468; 744512328; 742430759; 165592820; 401770329; 346417343; 144966813; 731406585; 876579418; 224771699; 892681625; 234092337; 251262715; 871583674; 708202001; 924990942; 7209880; 84265826; 331020973; 989095841; 654434562; 969565269; 705629097; 973558073; 19876453; 801569312; 414931590; 100209963; 807174159; 174345286; 966248780; 765800644; 546531854; 655843653; 591810240; 81590486; 59904298; 92458332; 818373329; 17568766; 227213152; 393674472; 194539410; 522949629; 318998465; 262696628; 841408281; 184957444; 302443630; 978293339; 944999768; 826992703; 703904031; 262742485; 461223676; 479976587; 666866460; 178055443; 140058962; 574826055; 43396201; 883157844; 1100430; 822103013; 482805371; 996917793; 342788413; 811373353; 820439793; 63576317; 644317482; 702280562; 720919969; 894880935; 570181239; 406126817; 845204330; 312886303; 303578803; 706573525; 391923267; 545772956; 838806053; 775888052; 584147239; 830059658; 254340680; 604802644; 762873258; 881414936; 860368834; 225765957; 473812272; 71126142; 787129499; 768471033; 452430649; 687682406; 769807236; 593438390; 391516700; 236363302; 140957627; 670257573; 958865346; 990662987; 844028463; 400827712; 826166663; 608590733; 775253823; 365915012; 131137839; 885559886; 681384904; 454368167; 452645885; 266394763; 239878687; 647591272; 967165437; 376655558; 683436930; 435207900; 795816275; 122365797; 808042663; 3825827; 642216831; 439197620; 14406671; 551005946; 979455021; 815453794; 27840161; 690923584; 983076016; 59433425; 960171977; 479493245; 224756780; 245817873; 422743600; 89326238; 596854208; 744252641; 477840792; 705867514; 901677093; 119474256; 285224081; 58741597; 153532838; 92335023; 379216862; 571176548; 932451528; 31400094; 686312309; 462978255; 923216750; 193479985; 872522624; 644375568; 413125043; 828762594; 803649994; 787440779; 741977358; 651332111; 48931113; 407553192; 417881496; 737324344; 798108804; 449116781; 633778960; 922454447; 973463214; 323445422; 788848060; 292575880; 461558723; 705916487; 687096029; 726037533; 667561264; 259681355; 86312869; 397909144; 193421088; 698189499; 617050984; 945640191; 846391861; 308329884; 490385182; 146570530; 27834996; 867179877; 513040224; 223719104; 807476131; 328425298; 773191152; 740315457; 390207220; 835344859; 712740191; 809327344; 593379237; 813879252; 892811552; 863875194; 85087631; 530507225; 481812116; 117877870; 544807119; 988581552; 936011402; 30756631; 847933477; 955829158; 342304866; 857986807; 446423422; 670791848; 596967790; 787560369; 791228088; 688328238; 265375739; 415107519; 2571782; 238040981; 628620592; 704503070; 80228612; 633766433; 393690909; 404720240; 402145370; 929445195; 361706511; 479572929; 187055390; 463636893; 283967160; 378444422; 446084107; 37628444; 918486384; 887878761; 669351880; 496523265; 453860722; 617370930; 248600918; 319176341; 807384744; 787923863; 600256309; 39133972; 278097765; 733438333; 745139819; 627838016; 575761523; 188898676; 843997370; 202600987; 132200795; 405364877; 703355813; 672736471; 402752874; 724454558; 66721677; 728393002; 502746254; 273009679; 943007699; 77480715; 422736081; 805996196; 793589789; 856581890; 561842743; 353465053; 39133127; 85230213; 329079545; 55275548; 677675112; 257025525; 883975814; 704536425; 801303103; 618712365; 395908805; 319044795; 952055233; 910606518; 826565411; 200356867; 608037858; 498455292; 970134255; 338839518; 397178794; 862234794; 97082413; 483604989; 757382205; 666491826; 606948757; 790183583; 902178932; 344908722; 174506800; 873042807; 748384559; 914883879; 556988886; 19707308; 820079746; 992717644; 132689692; 764892644; 621734646; 336626291; 685323659; 904122876; 831427268; 663429281; 556288880; 386481658; 317343377; 490720184; 762243254; 755511594; 934658630; 997732619; 559096976; 506329727; 246861293; 500756815; 454165964; 28052999; 252975746; 555568850; 996224232; 36576431; 641577844; 967709774; 817682973; 789354099; 88071654; 516105950; 911148441; 354644128; 431732829; 64275907; 928787475; 366980244; 204020300; 241937554; 613501692; 736798555; 539599850; 78006767; 309755482; 231388479; 738373856; 223982168; 284090605; 203372172; 197456543; 162067322; 395990965; 750549652; 994801286; 566059177; 297123330; 883381832; 684351869; 153961313; 915312875; 22721509; 337175844; 643329057; 713595604; 291564721; 676303368; 549034608; 81395479; 553929469; 214060126; 1029583; 524206988; 813036369; 769172366; 165194077; 313376366; 502379858; 107844553; 92548988; 65443299; 450581244; 427838475; 102304873; 843569048; 487892343; 920103589; 216166967; 34278329; 299459157; 578814462; 848327647; 108446701; 382738630; 113794782; 123116233; 689424553; 614233790; 501727886; 726348979; 62688403; 264819659; 10136182; 228847810; 772624788; 20472823; 363663608; 814273889; 204446917; 915215338; 974066569; 258749485; 629758716; 542414270; 445752218; 303913029; 438949846; 512517259; 134292603; 847405242; 169063776; 282323951; 885631239; 477835165; 483224783; 939707557; 797066191; 893398664; 859857487; 994832155; 336009334; 831772370; 779205891; 499925574; 473169465; 200126511; 851924593; 269575133; 126301593; 525422348; 40271292; 51895092; 660112941; 391620661; 835955351; 466149902; 50116952; 740155238; 899805505; 253352349; 837231837; 265027343; 199480759; 691120059; 788948306; 607247576; 165538620; 873512678; 623455768; 819444741; 595287256; 947922041; 326462531; 373174830; 812049219; 897382613; 398991397; 482803763; 743892995; 700456812; 568397645; 390697448; 570389764; 258763728; 349104835; 348576360; 517544542; 368656049; 793263549; 132224059; 499335499; 630671522; 381895253; 38013230; 960756510; 718529757; 405472687; 849808641; 454277416; 365816955; 438542796; 726366258; 558400119; 250673195; 26392865; 571592525; 347809294; 844006044; 984377169; 436211774; 609819842; 221006792; 356267406; 759051001; 549404900; 971675571; 583018494; 612373244; 467784740; 197898351; 170571231; 266492929; 818350935; 188961635; 154447928; 980695873; 474888976; 449981565; 540045475; 923372488; 970318479; 937107449; 927444914; 641877117; 586411631; 743208361; 463251508; 738868453; 656639117; 381863005; 750689770; 190232977; 466457833; 880470255; 921193273; 638859999; 79179216; 666235349; 603825134; 645004915; 199053719; 222270308; 195242620; 584773589; 129602716; 999970134; 965958189; 50233019; 204581605; 514177962; 801418967; 349096876; 437007043; 696874279; 454942869; 446278432; 255728452; 317795954; 57244220; 815486881; 758015678; 409496625; 479029996; 737111165; 989260795; 599515069; 423297131; 153674739; 35705330; 628980536; 960480772; 641055015; 719101866; 84222850; 90241041; 499186039; 298154557; 473531982; 487430621; 63280298; 3667743; 303836336; 363120326; 259372254; 730068192; 264629856; 617006795; 372506776; 455434497; 606415223; 172223327; 577118158; 225144301; 911356451; 901416976; 547205404; 495697065; 475332061; 529274056; 958172747; 453679069; 51968705; 753594053; 950398232; 245909563; 619499106; 26856622; 413582687; 303664036; 331925226; 353094350; 873299542; 162029097; 405897126; 108137676; 812406113; 668826721; 261385555; 157356200; 867868674; 33671962; 772597645; 926994122; 768320427; 908356500; 997039290; 140085145; 443553926; 998262743; 191017610; 22967719; 72328040; 693591425; 81504653; 656271910; 654845861; 957828571; 891194798; 823431160; 264225635; 740562467; 306566928; 643757593; 310501191; 310442803; 962321158; 574886071; 423249947; 974109728; 528031610; 47658248; 910884070; 844287025; 270786160; 347519770; 26624165; 511066741; 966172820; 21043815; 337959945; 968224979; 373025435; 218406019; 138167711; 557266252; 312820107; 20752134; 421978623; 859167915; 302080362; 451009568; 679245748; 154312601; 889650242; 71880242; 618973157; 294369986; 3132837; 967757557; 263675359; 847066591; 379583446; 624107835; 78543969; 881633582; 47288676; 853649256; 910268841; 578672830; 413635229; 673403941; 464805031; 828468655; 165198672; 418292597; 679174311; 164366083; 134512055; 145818049; 826059545; 342064142; 111446462; 48122276; 714382604; 441445256; 943750268; 571768581; 136018635; 187644319; 755907251; 65575997; 422536029; 303484571; 744311318; 820818711; 486056402; 924364450; 784907380; 176016273; 43529120; 878737584; 339098936; 704342167; 452633217; 16544268; 54737028; 661604787; 127282809; 959020368; 747437709; 293908004; 981656425; 15480714; 28417854; 792548595; 91612921; 453473613; 259964974; 267026395; 372057541; 573895214; 804326076; 587470228; 269729041; 723908238; 853433588; 976274272; 795066001; 460428912; 874526302; 285260249; 621420986; 682968239; 44989433; 394071893; 53194464; 606182771; 14619781; 310246532; 220168351; 100437291; 314054631; 807375075; 492179756; 997937382; 47823793; 873226831; 919774859; 701049883; 988150835; 466569589; 607683131; 769909548; 508917733; 737024072; 776102385; 273083066; 593327258; 779776598; 3148777; 556641527; 786205334; 104806453; 570513293; 465625414; 358464159; 694613427; 289477265; 574043257; 528896410; 754731626; 440267685; 658186964; 473453267; 645002088; 760168168; 79896964; 486822901; 504673673; 41878941; 71792760; 479403213; 132130855; 274910856; 348773045; 213489497; 544279947; 537350164; 40931800; 674503136; 511639378; 587013116; 261225389; 800766927; 763984733; 671370680; 120833663; 924869237; 107892284; 565988401; 943079096; 158784286; 244297833; 500527267; 524721037; 532677338; 251803295; 335260529; 284844198; 752517155; 124363465; 710552459; 332085986; 79092330; 751263458; 551077211; 73414440; 643730784; 389668684; 340316086; 831210441; 267281839; 622879012; 438515497; 390822591; 320749978; 890562676; 803885122; 910755593; 512062404; 720873969; 894084459; 628884045; 982391617; 278350352; 535939301; 200701051; 795800066; 622940788; 743493482; 98522656; 693357568; 405332838; 377272662; 607869130; 483994213; 459432220; 87985441; 941062596; 866534053; 980379818; 191531664; 562473589; 162655587; 397516031; 611580019; 331477204; 95015624; 465362285; 202721448; 520936623; 731475497; 318086982; 265108273; 990136136; 835194661; 780111882; 121260507; 88857256; 996759562; 776559982; 46526888; 616335369; 519110347; 937557680; 639772917; 942290618; 289797867; 880600726; 445952974; 704760491; 404449045; 275747462; 505402523; 5990106; 302393344; 630314978; 859479603; 236913322; 343791218; 451726654; 195935068; 10236036; 61973998; 968640208; 193712913; 520009635; 795118110; 6173351; 310094144; 344296550; 729377633; 534602065; 761823237; 695295524; 68291470; 41748188; 84897716; 358277357; 939757181; 249391120; 488878174; 861289412; 5196668; 478317741; 565114580; 107510506; 737618625; 471462912; 591103894; 228963424; 283224790; 621236765; 222867756; 489617399; 638329380; 972272505; 398391465; 271170678; 149837526; 678867865; 553424057; 394166688; 371382438; 245822891; 369182065; 635850771; 286409873; 210239318; 79061340; 868431399; 345094203; 197021628; 95345090; 178470248; 350494693; 224568562; 503752723; 443789166; 226410346; 600605603; 674328975; 881252885; 25815293; 703715792; 388104418; 673778929; 878732457; 412131201; 536477784; 534127503; 628545107; 804827436; 899542643; 120606461; 271695886; 603161262; 605982580; 384990338; 384084683; 34183036; 50053457; 242032862; 465621844; 927037988; 787980469; 408634719; 484860233; 30891031; 222640075; 804701580; 739725524; 173141450; 515495560; 166375320; 150455553; 635583748; 192596914; 408647982; 273144891; 356685517; 241334250; 199629196; 522455205; 737241978; 515720430; 178366604; 880254257; 122448141; 795859798; 930216495; 762179922; 906200448; 213157269; 710197716; 20771653; 320065923; 5170704; 818344462; 815145313; 140235481; 306949005; 589840447; 869064934; 348140943; 465030676; 246362399; 799672205; 821615727; 551498413; 277260682; 579970803; 566651583; 42593005; 74777112; 967429344; 195501346; 922716081; 421289206; 739420906; 64363054; 283561643; 275962780; 494774437; 789068205; 405024194; 483862352; 574899559; 401757846; 173197963; 761950362; 586751288; 797332811; 420179009; 214293185; 166939136; 88288917; 246795739; 502624802; 823131100; 691076712; 468242046; 943453946; 800375900; 408857284; 833916359; 190523170; 938467185; 331005919; 207920874; 409950005; 646392553; 981101106; 943435167; 481180073; 686764310; 767123520; 692312353; 774321255; 921967814; 809001619; 161139938; 441764148; 582022521; 101499238; 769939564; 533840386; 531579777; 323668285; 736056274; 840666616; 657510840; 848091829; 460851996; 977898731; 559440571; 672894916; 320328404; 729857010; 428849865; 39082340; 460149621; 838407309; 701979557; 316205536; 335721415; 727435818; 163661839; 483536953; 965923311; 482211940; 924904721; 770958265; 646798995; 616312214; 479728902; 846291599; 643695215; 569078529; 183678424; 956811652; 357281682; 158565183; 389459215; 506802653; 694834972; 569030765; 962594766; 197568975; 696617831; 684798653; 897889752; 159638959; 269150986; 384947930; 941378817; 32089227; 143966079; 609885071; 310665929; 203389004; 880013582; 743770857; 274642086; 698244648; 777801645; 213057204; 971672669; 316603568; 108031716; 706496125; 822259355; 656198548; 78086070; 551809815; 94347256; 571278897; 790215185; 47705922; 71968170; 639287111; 385332839; 647468497; 879013699; 474819; 229566440; 55433383; 49635426; 723430416; 504241394; 950623050; 468188022; 595692967; 100689008; 417117000; 602637805; 712672849; 274830924; 420749934; 794427799; 677488576; 946444288; 395791008; 185020432; 647004676; 73064760; 139983040; 787498235; 688419272; 117376050; 261963995; 45373969; 365604656; 233414722; 229962253; 787056207; 786475799; 143330781; 578170280; 766694378; 628584554; 940570718; 960758338; 863999198; 843329977; 977362283; 330390645; 604002101; 778730111; 700354102; 882215683; 491049815; 695211877; 25273529; 490965043; 587189988; 894285533; 205535004; 421019025; 266038175; 605854002; 349813868; 972233664; 107248036; 885875301; 959306383; 227029453; 126261119; 718053567; 484030383; 442840603; 666959150; 313955655; 26705224; 509065208; 250175896; 528714339; 448519785; 608417163; 774888833; 846182275; 581564098; 380486443; 689777931; 223153498; 914836395; 264017247; 117781674; 871096127; 317419173; 151071419; 363560404; 707465846; 650602218; 798964735; 935485103; 723848140; 234586941; 618372979; 150356020; 178471720; 481654887; 247048784; 737967599; 955165951; 18426398; 453713156; 508573256; 527643180; 35902083; 964802851; 177358694; 926352082; 230659029; 566442862; 596223563; 975248374; 322395264; 711042483; 31877419; 117055455; 81068688; 840898436; 113340682; 16942018; 652701609; 219888807; 542743087; 30097105; 276088300; 378988170; 237630635; 146276538; 988310249; 83514882; 629817785; 214085132; 43354895; 457226665; 667591998; 132693644; 70064664; 866199459; 44502383; 798469421; 598574541; 812210278; 345691839; 231217461; 176064824; 415685599; 125360264; 695401054; 109392523; 118624825; 787709111; 702504265; 966030590; 434722431; 174003413; 21423265; 888668493; 825099902; 747308511; 145109983; 441290905; 635269413; 225709091; 255811932; 630763450; 957003062; 271614243; 238057113; 799838270; 514105866; 339502471; 822050487; 35718792; 121798020; 206005197; 972279936; 859865053; 107969471; 256927075; 280127701; 121255451; 280256675; 334189811; 305041154; 886286835; 399829563; 842272948; 424051348; 655836312; 981162283; 206349521; 717556514; 845106700; 658131468; 635666348; 875715857; 610472065; 152940338; 10769513; 439985599; 793552322; 651106539; 354535216; 49423594; 194181187; 909819031; 136924816; 354824876; 534431338; 933938079; 534886236; 946137316; 526200772; 208675999; 734073212; 572187226; 70071580; 179946096; 699313791; 178447352; 930796746; 575050434; 842149214; 924900139; 576435589; 523898250; 24386557; 140794893; 654282063; 321944122; 769650994; 147540660; 5697624; 899154054; 158321670; 714222303; 691720688; 747091974; 994904044; 732136011; 222129723; 712793727; 176482280; 335966037; 247071565; 443339667; 976089952; 851321071; 183452925; 22259808; 163371403; 266303530; 632365062; 877258175; 477839496; 387700965; 726388647; 423064365; 958702329; 161883994; 29690117; 684258595; 979291243; 726287938; 613282828; 854452428; 975503689; 190855442; 67687636; 961216136; 631337984; 667140838; 21575952; 814611482; 693771581; 339989465; 310008587; 65439909; 790424391; 84458477; 712782284; 224104358; 278389588; 936843264; 489593234; 836398727; 301304376; 461312334; 611636048; 337159007; 623030116; 465615300; 548885173; 177563731; 605279600; 784132904; 654544359; 426207401; 713432644; 888382607; 676834909; 957891676; 694119415; 948702394; 364534663; 701826428; 475185507; 497188134; 943449211; 567925103; 516510185; 71682449; 394336032; 686011513; 342011286; 391274054; 278094928; 565612252; 588356905; 232538879; 246074463; 115803067; 220596762; 841581547; 237490814; 880073478; 740278801; 990336857; 652211824; 207942969; 723614743; 62693851; 20327856; 275464249; 635469666; 572776709; 126546937; 799866398; 448696935; 931213540; 687824346; 365929233; 2053223; 626886257; 908960575; 751307781; 244075911; 439316330; 787851180; 243741001; 181877165; 212687295; 250383702; 540528166; 217813528; 166153717; 175349348; 718000239; 837914422; 805251931; 441416588; 686816919; 656447579; 524584845; 984955876; 33671691; 254188249; 673365282; 244703341; 397145880; 437814423; 593206321; 540310768; 329893552; 240026886; 429401491; 560755555; 328945660; 772674438; 241598062; 712186625; 543770198; 683523392; 936172872; 217388681; 881256393; 16830693; 177459922; 857307961; 133514862; 125024437; 952179717; 81901735; 975807830; 107901631; 380931548; 308714936; 936549133; 373769169; 646779658; 627474307; 927773117; 850430874; 247160966; 32778553; 290958478; 857813439; 20636022; 272995014; 47241802; 452131722; 355217295; 128274565; 475428658; 313523209; 715590046; 703623633; 891588081; 975003476; 451195438; 950365554; 751444459; 223829899; 932568; 24086733; 997041092; 961159186; 468821683; 496100171; 164902682; 259713050; 144698734; 32134691; 985488502; 46053888; 444376259; 718688528; 886025773; 248825898; 248231911; 436210444; 302063961; 36613674; 100142069; 405412960; 16817911; 270939313; 863748780; 782779308; 476863017; 438373876; 738855865; 531345742; 583557995; 765481398; 256012346; 744142518; 507263450; 25378357; 837337127; 346107352; 309853101; 194201382; 654593740; 45413601; 378099023; 798805894; 696003855; 97624017; 839409593; 857756040; 326085586; 570494453; 829143178; 755607350; 418912574; 624261943; 189916293; 559793239; 448378029; 610113729; 701640032; 239506906; 370132670; 216923871; 503275052; 636732594; 289395910; 295581947; 871058864; 392627315; 469501598; 254218363; 782687545; 518696883; 412668276; 141950152; 674310632; 276205980; 904053237; 649759320; 472168606; 771631392; 237898635; 436502365; 512737339; 716812848; 969417993; 991929312; 657605570; 203529344; 232312059; 559653774; 511913864; 661022141; 902995986; 105710572; 582166281; 608880596; 828852217; 251459919; 297705125; 401777684; 366811408; 422175629; 562790119; 148074678; 846368494; 933896857; 904998396; 31627529; 404704403; 934812370; 518281257; 289780699; 366351383; 678352784; 915715604; 173940703; 139205886; 160978464; 159443480; 991666438; 733165363; 680841872; 796572076; 789460669; 556729601; 641797695; 18167140; 90168910; 851224977; 657419727; 114442594; 509532254; 888107870; 34934140; 16229164; 612938374; 328750374; 652761236; 857261256; 187001174; 125483294; 337853717; 201892771; 69378062; 908432279; 240643537; 795447968; 726500815; 352173812; 953996079; 683077433; 920792886; 556034830; 801272578; 148204342; 766693250; 544574657; 773475996; 493978814; 429888870; 252137705; 660702463; 314971045; 927000093; 399759496; 942883349; 945569157; 452203324; 753882962; 39658626; 861448215; 131993800; 316844327; 880360969; 700516282; 834299971; 2390045; 24587586; 242641000; 782666967; 506101596; 921765653; 297791704; 817888245; 978488676; 945060583; 672242654; 954174968; 104277823; 383822861; 105871305; 51120674; 867231035; 167886727; 997497451; 917766482; 994112378; 312995438; 866935977; 478750872; 859864384; 107484218; 463349007; 798293718; 672467112; 85007489; 421658114; 530800955; 410179511; 575990490; 190074907; 968465168; 741619989; 694381130; 25056808; 237888809; 166055166; 634440465; 95448884; 120840486; 187143398; 556101897; 153082477; 697723485; 581132005; 132706122; 597516453; 162324831; 674695841; 969706466; 860797918; 594141913; 194508071; 555005941; 77494402; 129875785; 117470207; 343726690; 261913344; 421145425; 652681408; 898601179; 134947368; 185531862; 922455891; 993647208; 547227817; 640264941; 475087705; 629496561; 226019815; 678020333; 236477962; 791787409; 641197247; 118984411; 160268209; 667393706; 152104060; 677530025; 127179496; 709596345; 71830148; 93188926; 176105288; 746200981; 300681468; 817984475; 404155263; 467789638; 130847810; 503333987; 442143760; 42516390; 997047347; 395296136; 121953134; 345323133; 469682553; 363512043; 759311644; 709359054; 982521659; 851986742; 171496031; 682091849; 508035342; 859286783; 643931777; 157236269; 477647717; 166085004; 722579272; 748027468; 496921621; 425306271; 56460017; 151303918; 755080160; 279256672; 227574876; 16920993; 237875084; 407857424; 63952313; 837039229; 654836389; 433857032; 285422046; 376552965; 882811803; 552255329; 419077537; 470042296; 253731241; 72034593; 429012430; 860816187; 314969002; 339096458; 313203811; 825557332; 77805563; 423545773; 472199798; 950303581; 914701389; 622022737; 942687380; 635283630; 174247379; 453269500; 682371585; 995462949; 384579795; 323560956; 429244367; 249952353; 152914488; 702217307; 198006366; 769376045; 500446061; 831291705; 596830753; 414073223; 289909077; 667922324; 83010679; 500824587; 587018739; 738367386; 172762335; 98592425; 84623223; 264478025; 671149297; 175479375; 696715034; 684972882; 480974093; 855886456; 482943954; 598234149; 172973180; 428123645; 639537402; 286581942; 91256900; 158507754; 870610752; 38257658; 868150238; 146350056; 547824412; 400211160; 376984086; 111790599; 892390107; 436845036; 945418013; 321578301; 522500443; 973840201; 495795310; 172701803; 497025329; 549532880; 585031586; 268462585; 28850932; 306575834; 329531346; 644293431; 910620621; 188297542; 567667286; 134973418; 377218507; 169385488; 959675015; 780033530; 686766625; 771756327; 451873460; 725246748; 948132693; 714235952; 58219198; 182581539; 871339263; 251662230; 390162300; 206753362; 996175136; 78316066; 134614369; 520749387; 894919602; 461380291; 531962253; 647286150; 65340310; 701288768; 2921841; 336309996; 329939561; 761650007; 748996323; 575843864; 842077096; 6993788; 215382838; 489077595; 101446301; 74967471; 741394266; 894600557; 880908037; 354994785; 437953348; 31796653; 480624591; 651487197; 803289400; 909192009; 644685447; 943924986; 463148244; 417164605; 494797876; 26415924; 374491051; 657552247; 494207716; 46757841; 237396748; 569342668; 322575053; 526927666; 800478006; 225456051; 586439460; 330777277; 548699151; 147109473; 691875374; 309265165; 960473003; 82074737; 161198297; 506873213; 22088830; 504604167; 165179104; 40567993; 374757030; 465938377; 360191472; 202175185; 173392799; 114665724; 562688824; 86906781; 449429624; 793793612; 341428026; 911351165; 363735090; 386228142; 379036790; 374858679; 173138815; 846661075; 399896092; 303908836; 558207450; 405212689; 563117315; 574506735; 367277729; 186181511; 304275957; 125253927; 201184901; 172764816; 633071616; 18228695; 191110523; 83822766; 170548392; 106591641; 948081276; 317468612; 841011521; 949512935; 450286781; 518783474; 599543883; 870667826; 468142316; 801950169; 347827379; 390022414; 164330383; 857308635; 568863533; 305017649; 418724381; 37466849; 762060078; 853188133; 81869546; 154868006; 552536051; 601208878; 534306146; 368993056; 794258316; 992556723; 60593559; 582834420; 327556705; 243328030; 148718277; 387569811; 934289187; 73025211; 68156096; 667547910; 906360413; 937245665; 898194774; 772173656; 378648639; 21728081; 212758620; 155014187; 829477567; 90665635; 210270110; 147150037; 74076575; 638144688; 931009703; 688688730; 119254181; 140060885; 257662338; 202162732; 322070921; 559344556; 235898513; 776131614; 718544612; 782366569; 524848084; 281248351; 146041453; 475686813; 350682414; 79458615; 90158529; 328207548; 326297532; 12590192; 185141375; 58642356; 841379988; 615941862; 142561788; 475858309; 363831118; 770489347; 381593028; 134377733; 335933734; 22773633; 385017363; 939631378; 249906010; 806483139; 115564447; 529443122; 61868479; 478196910; 119499794; 728210282; 532169554; 408192404; 945683569; 969372995; 173824942; 162475143; 25483873; 67364572; 43523643; 349786713; 185217021; 839108952; 827544284; 138283401; 449778489; 275226028; 665891234; 696746612; 92061760; 704966768; 561527910; 214262485; 82723536; 147804570; 360482843; 215656052; 675794614; 705531899; 958443571; 826005136; 709603941; 645720308; 639796062; 227728059; 298177492; 623507842; 461719658; 58455899; 887525459; 115768428; 992499276; 522923444; 239330253; 241529911; 240037491; 653168169; 192236885; 353807552; 545874745; 306803682; 33225978; 683026170; 799840669; 225769538; 657201408; 792059566; 636480042; 256174319; 926153066; 196996619; 433259347; 536959537; 555239707; 504681861; 521027554; 572909195; 926632720; 613757564; 799922825; 656160426; 853646302; 304546885; 924700588; 444972969; 982588341; 921014669; 621786721; 764695967; 942509676; 362267422; 486813154; 900610444; 609460336; 861646296; 998665057; 438902376; 391512054; 24365420; 335929992; 375176394; 842737796; 835430423; 566770338; 860301698; 623154136; 435257796; 484249021; 368162132; 336192472; 811936726; 257895890; 402124446; 257386914; 91623178; 50120098; 99225201; 79204999; 50169195; 451772892; 238660591; 390041067; 620024254; 817660275; 927730343; 258573729; 270059533; 148544460; 771031637; 136209646; 941400895; 739762794; 381381441; 328795222; 565593734; 795927437; 398332956; 809484676; 521018756; 862242500; 843078520; 659334479; 900312741; 4546535; 894696467; 138027774; 799927174; 429868598; 973739591; 231987266; 760360819; 483605855; 46062837; 331046640; 137306217; 650665303; 731660714; 930346731; 661626285; 785510359; 520955060; 362258551; 430444; 708797497; 254751385; 985049799; 765805107; 562110834; 598861304; 234167252; 374603604; 271289826; 337107575; 533130098; 390975048; 542060877; 607424388; 320661448; 449551351; 104623404; 630633144; 863374218; 927831650; 46466675; 851355121; 69450494; 507162300; 354110002; 662901268; 331164902; 741035059; 85656378; 387244694; 128087733; 417672297; 622534218; 531867296; 419116948; 680098259; 426719542; 762681129; 33216737; 769071272; 757078138; 370817494; 360853768; 73231408; 466951809; 103465742; 187452234; 373775765; 899510466; 741160667; 302459525; 489570216; 194156998; 413854778; 470876855; 9344347; 311581419; 425305137; 647881409; 863270455; 492248097; 106460509; 926546929; 804812870; 732915392; 450931185; 785666398; 532334683; 65876972; 979656592; 919383540; 831745720; 77745461; 60221636; 690846033; 579534977; 902419931; 630326662; 594168420; 356547642; 554065279; 138618844; 496838004; 740457307; 935112395; 753300567; 481880920; 523094111; 137032378; 747935064; 464768117; 740549173; 705850608; 996794061; 612848867; 728769289; 882454768; 945726178; 338876332; 840641174; 299712055; 538372906; 123306261; 107901338; 561172934; 763994914; 427260042; 832095400; 881402757; 706884759; 277793946; 208301942; 540802443; 138208743; 229741417; 884534816; 997309574; 915830288; 345310362; 481461958; 151410834; 725967056; 228529339; 696073415; 771651291; 760920088; 898706005; 760136536; 248705596; 747138945; 148833661; 181865015; 861704246; 888085101; 250737379; 496002020; 732760453; 832177595; 821079397; 346442896; 923946490; 407545873; 347642559; 508686268; 762084477; 452184697; 523382851; 130668425; 960964395; 165234366; 477433246; 558890579; 951934247; 264687535; 794691581; 747131492; 744113593; 808568492; 603326259; 522838977; 579718225; 150581400; 259180960; 804194318; 508193020; 775721498; 490703202; 998066529; 151293238; 953699382; 140021083; 584214691; 234955870; 759539668; 937804249; 480964392; 402872967; 14297146; 317394305; 376458606; 358192909; 665300754; 203857157; 2537787; 505757957; 464750115; 869053089; 924973041; 465343813; 283956523; 856861331; 873760574; 96618303; 397221152; 189929252; 497548463; 989941701; 848293074; 339944593; 944396836; 312410650; 187977308; 67641374; 56412432; 578521856; 78189752; 769409679; 792868285; 342065721; 859096865; 618841702; 635215588; 365768059; 984295959; 79807804; 171841219; 928335981; 502351801; 55596915; 9329444; 264279575; 543971160; 918784838; 912751667; 302901153; 994304106; 371005700; 185068122; 469793634; 812799295; 693836133; 511599547; 7020636; 522401532; 87255130; 143464402; 743080251; 803022592; 435429013; 752377992; 536466256; 573040946; 348581226; 534637752; 903834368; 632901180; 209629009; 226504595; 683495778; 137635280; 667746476; 102600186; 257971611; 729183647; 606198649; 730745044; 290415263; 999582515; 906861780; 630115984; 830877405; 719005346; 382946381; 345709305; 636798390; 477365459; 792676008; 606619821; 561159895; 536629381; 524500206; 12657640; 148527931; 292234292; 480784360; 532678523; 540134186; 671872508; 555212654; 465234703; 31309666; 529294837; 966306736; 544947567; 114866766; 36918679; 434402941; 826282151; 506492560; 742616890; 66518472; 902213140; 398199551; 619248374; 407311089; 532501229; 911601290; 951342188; 946673948; 3489547; 569420136; 292652731; 334676511; 607154937; 82989062; 785917518; 522642677; 868480025; 606469484; 15163149; 603265611; 921390363; 142993439; 31091322; 352082009; 198131027; 497135237; 924503577; 887749018; 260060250; 474589637; 582920218; 135168810; 307221675; 750053358; 252527291; 57575871; 358456715; 459435296; 199258252; 423598607; 776552944; 596484693; 4659253; 759187480; 346576223; 951240952; 288181201; 999793404; 846754321; 577586476; 281923166; 523806504; 993627722; 261695575; 76751819; 488303642; 918171506; 57307341; 926081655; 819605794; 395259729; 283184801; 847914162; 679638098; 625704556; 794565986; 136807078; 797327596; 244125396; 825632231; 535005068; 148616822; 364307201; 787159611; 120268515; 237496999; 724444323; 471410143; 201900655; 186584042; 209304545; 32893109; 744174619; 86113303; 172078727; 838547720; 173355122; 132050108; 864615849; 622774824; 920521259; 434235822; 576046766; 447401221; 311311058; 27833745; 3315810; 338224143; 74525666; 30456560; 35732148; 138703640; 464126587; 358715191; 327680600; 101855122; 72043779; 776541624; 815561232; 246272235; 747802497; 182560708; 218064557; 657509886; 67363686; 225855540; 542228353; 809655987; 345971543; 161575631; 384860044; 960957067; 859974286; 443046604; 127481904; 292070612; 742822210; 579032061; 148784930; 495001182; 981127115; 192165566; 313826231; 926018367; 926741440; 411976507; 32888672; 264323297; 688953091; 703219983; 910207425; 404302366; 173034259; 392063327; 634545310; 402595138; 883709030; 609922214; 805362501; 600651196; 480054806; 829569679; 356775664; 315424491; 658707429; 128893240; 774978688; 408515427; 533189623; 861218776; 914251327; 951699258; 83042959; 377826609; 512605907; 971484453; 310484571; 386790272; 827112343; 184068727; 387827907; 939616879; 955733570; 689955168; 904481086; 758158714; 167633397; 639937474; 232429141; 81849297; 999611815; 153933765; 473088159; 262695197; 391860051; 713210863; 362912785; 922040160; 308770874; 554329574; 643956647; 470658298; 531761690; 541669159; 464743740; 742834201; 937894411; 165753613; 361459163; 929042673; 851527686; 378776718; 586256033; 368114238; 358578696; 790298912; 704452703; 570548812; 936563430; 898337666; 773881724; 332244691; 491417236; 368429036; 44818062; 506908588; 483563127; 900532285; 935416337; 243734018; 865132997; 271088203; 42350269; 489224031; 147578598; 292656519; 284622587; 928806080; 148540941; 366442025; 349425442; 795216291; 55128573; 101785395; 998467658; 381330123; 849072808; 337407574; 117776242; 864388937; 14426344; 401590769; 763697975; 286554770; 529102332; 564812194; 525614028; 781373615; 709604252; 466627912; 568191606; 948061833; 894313503; 261133659; 266772125; 142330325; 150546359; 733489209; 290605388; 981211945; 952990165; 537078882; 692045038; 782477825; 7384379; 300586464; 20684335; 564298757; 611810844; 902077436; 535689825; 787377882; 987204556; 132196148; 385526839; 392701902; 631983041; 268029246; 943087957; 548096225; 233965031; 852978541; 750119142; 248081047; 423831132; 203804983; 561451936; 622267015; 927885973; 306757580; 619368790; 994451595; 663804613; 545276237; 563175555; 116096580; 972097057; 923009568; 376837530; 300205274; 749285296; 98592441; 785549582; 31170969; 853546481; 668350998; 455289311; 11570424; 743387457; 707511167; 348882754; 172619954; 372708412; 972041870; 712974950; 346400108; 273697351; 753243296; 537736159; 913500283; 726658946; 531871731; 505308041; 545953252; 782904417; 891585084; 433627630; 692819713; 811756247; 594735726; 593179207; 174481984; 439208784; 473838655; 931104947; 819569220; 364687719; 307091330; 152992154; 778965411; 70008022; 858001317; 701273070; 800318140; 686353928; 455236499; 960587319; 837135748; 23033324; 448733118; 988814103; 368637194; 929022977; 983820479; 468624373; 529622554; 54265359; 693686093; 586898227; 525558570; 752614722; 739699857; 900736607; 316633860; 734801657; 408492474; 921326165; 153545320; 100666570; 798440233; 65086200; 337653083; 289486764; 359738895; 152653712; 150038006; 659282004; 748049998; 796398617; 633206511; 368936219; 390622841; 953054045; 324413269; 856715395; 587876650; 463510625; 498168333; 724607967; 105908302; 983322076; 183852331; 240032408; 362025768; 69532121; 312106189; 6976115; 343111377; 191411125; 692079552; 168295145; 60869490; 580471168; 146056223; 806158778; 552740516; 804552812; 295633386; 697567156; 386873012; 587801028; 180313774; 973932128; 679779322; 109642043; 220805832; 324914313; 591026687; 359282024; 502418639; 514090714; 143735026; 278152243; 760941011; 737088487; 465386552; 939429334; 734549724; 593327796; 469949296; 916584529; 669348786; 181105413; 860784898; 177256286; 790373768; 165710614; 160941365; 448566165; 232291363; 97360780; 200355626; 960692337; 333438664; 351214363; 55396128; 859848795; 241957996; 132883384; 157016800; 902918308; 160285814; 39327559; 472002100; 871733043; 678655633; 447188867; 307765163; 380480662; 645653370; 272819082; 48618364; 540404861; 390015919; 929841222; 90637755; 874431330; 549450830; 792920922; 236915471; 988975483; 70642015; 870384664; 441175914; 143321101; 886005383; 143996174; 336918263; 463967985; 440209484; 83814922; 753215934; 381025259; 443702872; 328182348; 365558654; 106173553; 190221224; 838182002; 873571967; 300297228; 969466036; 985200568; 192121969; 373794360; 440545410; 622830561; 963023399; 519275269; 515148896; 549251011; 835005796; 858221835; 208080003; 634896921; 527642309; 430653849; 937502324; 543424954; 288596549; 849912046; 763392655; 426659562; 583854054; 213340960; 339360710; 441625836; 438417070; 608867048; 736407610; 707179452; 585247913; 33618873; 954189456; 581685223; 578856643; 499272296; 277025268; 291365709; 297306872; 137304232; 517574090; 556180295; 334106705; 156208515; 887848946; 22190045; 799627073; 840783171; 259216736; 464022750; 754993013; 802922363; 437544373; 471047180; 783997981; 383678880; 994758943; 432232076; 568516993; 569227698; 56076404; 577736470; 616873659; 62903022; 534094955; 838752546; 18461256; 530085745; 488340541; 467292489; 705969930; 995352663; 170056798; 290188835; 237834301; 888311774; 968347677; 319347422; 318991644; 643920433; 441526449; 179104338; 589373578; 245497220; 161743446; 720970751; 828435313; 696435840; 10910918; 90019267; 874673722; 164281563; 926728909; 37402580; 330174751; 699225650; 411822758; 16422681; 604450824; 406198713; 985832569; 856436104; 321748864; 593992021; 103153241; 593759034; 316477763; 899445920; 797751181; 261364498; 359642242; 853364879; 386834538; 881994851; 859237396; 465231619; 777624279; 637982356; 21975150; 350558218; 360359366; 103435568; 941206151; 718823880; 556739335; 52140885; 641002407; 141156012; 211177431; 490892171; 890395219; 479678772; 496466921; 723343490; 5575014; 151045353; 813393583; 938384101; 741473145; 946358568; 693808562; 558457699; 691246275; 962741524; 459647351; 156173685; 462047687; 149877049; 815818893; 977269899; 187977746; 943658597; 214410271; 332927349; 918391399; 680776036; 290533981; 821447543; 169145596; 708668825; 151855033; 90872537; 880746529; 251862564; 970262298; 435204075; 855612714; 384924750; 475325868; 979103170; 415518196; 368560062; 334413265; 147072057; 199695724; 796087006; 546571039; 871032754; 282098848; 281356002; 57705305; 492437763; 572715515; 531930672; 385118161; 271977065; 227695784; 491063490; 891523751; 711944931; 548493093; 242809237; 463360090; 25609939; 596883499; 122702736; 679328193; 541590417; 897605195; 784034284; 566266217; 838174210; 987127862; 186202747; 611923737; 10786901; 235691190; 578877026; 157935828; 186909870; 265568128; 514133804; 576536566; 844251987; 739226238; 93586766; 195634136; 672324743; 441433748; 178137989; 670678808; 310792565; 531230523; 797698100; 685664974; 836270614; 80825256; 935412140; 30182119; 290100737; 399159858; 250867787; 60499126; 60893079; 895758569; 759630979; 209679371; 147234962; 192983216; 336734179; 641190788; 218803753; 836495529; 697086796; 69709590; 466399811; 463497675; 962431339; 855253778; 205848600; 650856665; 300218028; 620866228; 252678536; 566373393; 664939516; 657825782; 328058215; 756526842; 880336595; 836774095; 981038499; 50863285; 335359838; 213554189; 882872497; 960308938; 255286736; 976561121; 349614818; 982093607; 994741338; 903063645; 49583351; 350151087; 713557257; 68410914; 313456411; 656733632; 619282563; 832167661; 92021600; 336447619; 727461282; 76646117; 334358270; 337198330; 140932798; 166090209; 173527799; 883361171; 119828921; 66134120; 322874673; 986111699; 344602195; 215248502; 449176224; 276149440; 602945691; 64799117; 98869846; 604889311; 854275256; 601148626; 726948686; 906872933; 928314663; 800792606; 704801016; 568639149; 383796961; 848147918; 507993710; 376159438; 289966358; 923881701; 937874538; 166751778; 205267078; 79771387; 982258111; 952875031; 962761435; 141593639; 414479701; 532283024; 283975085; 340645540; 491056088; 474908665; 639518125; 158501447; 419635491; 383098723; 631784845; 501504284; 887212575; 964774395; 615209831; 999233560; 763767416; 149082431; 70763103; 115030657; 599982493; 569779811; 7028724; 132266735; 507000700; 753487373; 453129007; 619311309; 400104940; 934477582; 756852663; 938693160; 297603918; 41428249; 769432013; 770919433; 880220045; 108832111; 856654405; 822460990; 444099539; 765985351; 541704445; 659139227; 419539079; 436609583; 562231037; 70987482; 615827124; 782387992; 833864145; 788118175; 616848003; 583841824; 872602066; 597290616; 28532339; 233888812; 718386275; 488293222; 405414770; 107461697; 616691384; 697164613; 724920976; 326601578; 510583891; 864587038; 738795575; 669715256; 671697049; 454114342; 646115064; 36753808; 764075544; 469908780; 748347267; 999261756; 486078165; 610465882; 595880113; 79448527; 600423849; 892405858; 197007609; 847516391; 270291663; 921157202; 619844161; 487595440; 136042957; 205648567; 683546128; 315910276; 431249888; 959070058; 843829366; 697738403; 326573055; 708112024; 882162891; 552732300; 969477687; 919669977; 577936631; 585966407; 926460156; 857508081; 676403431; 197202501; 652013807; 478614987; 559497731; 341651193; 195191395; 488594979; 703211053; 165341756; 906142481; 292084696; 615463509; 618228990; 552519620; 531491759; 306831921; 722567092; 645303904; 277478012; 450682211; 898367516; 72058684; 500334307; 575384738; 456178382; 327594383; 743592973; 996449644; 345007412; 691174351; 30600114; 875427987; 744228945; 521419564; 407530028; 677625356; 907585339; 31013652; 253778672; 109597141; 664090339; 375949512; 10159257; 368304795; 554114605; 977977756; 674023777; 482917202; 861621751; 481902756; 664785386; 486167657; 405414970; 736476425; 61015990; 831984389; 312371054; 816674110; 222733564; 180566652; 698158443; 378484619; 150013547; 79625341; 802732791; 726720272; 930730374; 248129713; 381072985; 970652006; 904111638; 301635787; 205800724; 251925163; 727932004; 742200255; 662708133; 87259305; 249874101; 742783418; 548777916; 747537650; 537207025; 115391342; 186168306; 129834595; 731541131; 172817269; 210897938; 580929538; 934148815; 326873979; 45880246; 761634460; 759070510; 825136576; 483869540; 445648461; 783171460; 562381775; 736635581; 291095356; 295968974; 590652222; 505338102; 580525909; 323121504; 72910151; 601420103; 396221761; 427838409; 944072551; 981077005; 208850058; 686320627; 423714246; 517565118; 434472814; 146025103; 838733092; 550486522; 322576509; 274060018; 149362446; 532441107; 188193049; 998600213; 212979904; 426070412; 183759625; 734085114; 404667675; 923539566; 78341383; 969985267; 807506811; 615361360; 495263785; 417886699; 735514374; 13987456; 415670857; 473473267; 339930237; 89585419; 723520532; 214647618; 515495219; 844398327; 697466621; 834659741; 515485745; 793474819; 841165598; 783121405; 130059915; 789137472; 186094640; 596738261; 993561331; 512883807; 263554114; 519848933; 434153692; 622008899; 419673224; 454732060; 159708754; 38348117; 479781176; 499284625; 888067780; 267146435; 62513036; 946109138; 249807078; 217107116; 814297851; 761139524; 378497293; 457348187; 727861603; 996832215; 259340172; 488438111; 210586378; 319484377; 690443462; 633822308; 631356551; 852325627; 871113399; 904650441; 971975591; 207926141; 270245251; 172925401; 15181777; 336652880; 885461121; 159228947; 620035981; 936932688; 858191529; 9896751; 168845605; 562801584; 433657591; 182839930; 400130920; 152215166; 426582897; 930016739; 563228661; 741447608; 554463746; 25332863; 667822072; 514548901; 58359018; 494800919; 222998686; 989461484; 105724262; 543499597; 476116921; 598024180; 481182858; 631882311; 222757132; 300831519; 345052233; 641633137; 674552773; 421498643; 189433942; 136466827; 744705535; 118438744; 489246312; 233656048; 756236867; 74779155; 235176059; 906589291; 566506135; 412521115; 600625956; 154083061; 981735981; 136129602; 98387211; 375591548; 635958061; 274790559; 448518396; 313518094; 857800717; 605993596; 15447884; 272621006; 124187483; 325430772; 92826058; 837586159; 998305175; 516668595; 64582348; 998701830; 960989428; 636109612; 785883533; 567133035; 742129337; 566659012; 216529779; 455491595; 171061503; 444807542; 806779366; 162446093; 145109581; 168713434; 100662475; 969680682; 144646927; 275668537; 452993593; 742372181; 985466796; 316852186; 492182759; 148014244; 711391363; 454636125; 47596124; 867461713; 864229826; 314324858; 706106121; 753266844; 376808277; 283730412; 837763349; 394938644; 363313185; 537395046; 459463961; 204779357; 726861414; 380612253; 384029618; 589294402; 399547522; 467411206; 892236031; 171050155; 590028002; 103387382; 629690080; 805395014; 422947072; 705076762; 92644958; 603177096; 141213642; 329794242; 176914774; 931278524; 822499819; 873193415; 443863583; 479609661; 693357233; 38098964; 364877528; 871551457; 726126803; 238463909; 727643975; 426556602; 288959041; 941449184; 518093740; 238104667; 189383576; 786947827; 132075658; 121196326; 767801986; 683337924; 855395332; 361083683; 529157569; 685403735; 39561231; 389329136; 15712411; 454444807; 420958612; 496216943; 599522405; 90466094; 777721992; 38424129; 923838186; 580691169; 425491997; 918152906; 272600622; 116892578; 278311114; 710220426; 823861300; 880849959; 763300524; 628321595; 560531612; 302300511; 378213951; 833084264; 325870331; 850451252; 359430513; 323689001; 190706320; 622852217; 50554328; 595669296; 934847430; 891683275; 5900879; 841015915; 54593795; 559767624; 831819467; 223165046; 576789703; 513262642; 946427613; 863526652; 295707833; 183908360; 480848400; 686383806; 946172830; 215327513; 881662550; 264037886; 918639149; 851649193; 175515540; 752702286; 262372706; 558189581; 963081953; 234577763; 300380744; 644267786; 979814849; 823266768; 795530277; 6728557; 923226163; 383664867; 15601581; 348718733; 184797403; 785997609; 413272067; 242602900; 106837045; 898947432; 473678133; 723977431; 769952878; 386656480; 59588996; 262342840; 482463914; 368070846; 28936275; 637469017; 760199095; 160193144; 990598129; 327732191; 96712132; 545573759; 105628870; 748870511; 886456091; 495694939; 4748788; 917731239; 696703153; 760778742; 464864061; 562250007; 180601434; 690306033; 264292000; 755162565; 751910290; 152330738; 471406964; 520051007; 431262608; 869287489; 558604664; 44601752; 755977033; 482927789; 58617493; 974870791; 36478812; 922213904; 213032063; 444965951; 390117392; 215799152; 85756782; 134140803; 430771310; 163781821; 64209941; 551403399; 569625558; 267617159; 672455767; 591604607; 621182131; 101723902; 922702678; 452821175; 512946800; 424192428; 555152494; 791037774; 516330924; 215523184; 591206380; 146045520; 576381483; 79145897; 64968289; 564056672; 101100546; 950261941; 329297182; 284682611; 923524085; 881334633; 133099915; 632662202; 161030795; 816095861; 98825160; 989055459; 120933761; 236651295; 930696083; 167574638; 813641653; 221158219; 697040754; 438958669; 497364058; 478148310; 200089678; 736866228; 148512300; 603478327; 984587667; 390792129; 74576650; 850380598; 163904710; 549573146; 324397856; 558850560; 926022818; 869008462; 546158153; 149498924; 257923602; 823736354; 589634072; 995104244; 777948221; 782864030; 629522915; 809714646; 628847804; 638048889; 127714928; 612254149; 99388306; 132571236; 645208670; 283193544; 387930477; 803140439; 606071833; 343060020; 678920279; 461089344; 647114388; 192280669; 551612045; 884022047; 557227009; 193917434; 481696344; 669505102; 187957502; 74533246; 668247094; 169166721; 372462179; 50940488; 286735152; 459731413; 611772880; 368788054; 615545022; 859900048; 135848442; 978937468; 519230046; 270532011; 413252664; 474954309; 794047031; 993459706; 348735789; 978203251; 716179165; 362553195; 719153047; 691036575; 698579889; 178832738; 241695475; 552314679; 436133743; 246780809; 406058224; 508731644; 917321466; 569280302; 758529609; 199454167; 556234331; 694362381; 866075091; 379865168; 625016407; 715557594; 129290654; 611128004; 783085567; 426554812; 487340154; 850380197; 253532739; 956266111; 792760196; 606137546; 246424790; 638389017; 848248437; 8397469; 381740671; 728614230; 522688754; 880937028; 226148759; 593137689; 143368296; 77777770; 412056677; 993183684; 841839466; 11825131; 767282522; 123825091; 21385936; 130853826; 36722913; 488187862; 248739575; 241729409; 808621378; 246975624; 873342769; 932893490; 462345502; 746048129; 356562398; 619963851; 936759093; 111829358; 508029294; 818482096; 81367826; 928378690; 125670481; 240336674; 173976984; 745296673; 674005265; 648492491; 99092211; 972465182; 262823109; 791560895; 443284003; 681384203; 629435423; 754546657; 178072640; 119290796; 848166360; 651378992; 283931406; 403783173; 27507743; 260067152; 496618815; 995913203; 166073410; 179225065; 503298655; 756498528; 682901327; 531106497; 4349416; 71627; 198113784; 888248101; 758252159; 770277083; 906755704; 537938951; 820809038; 263676145; 184932210; 274840034; 65286031; 18115013; 62286842; 663137301; 738105553; 473176266; 360693455; 724663637; 882070169; 306597286; 401044896; 590269045; 636720374; 39882710; 104772641; 640752367; 154880716; 470113561; 277481007; 5426612; 259552287; 494570368; 310680251; 109282774; 539641229; 996466203; 518432046; 912919211; 172359426; 895487216; 317870657; 454789381; 493968236; 308090551; 864863101; 503411014; 414727903; 72211299; 299502677; 635970360; 725363961; 364733104; 190695709; 859905896; 318511715; 194680847; 661377515; 311974022; 104211013; 557970519; 138960626; 435243662; 235582851; 825232971; 341490126; 556907031; 358519387; 416160145; 307606193; 343868939; 548120998; 791719098; 884943199; 364238645; 13832787; 510493340; 152015874; 26184973; 651361671; 572844238; 925369899; 97719759; 481792726; 954350343; 962070184; 178587268; 639221883; 478377747; 879313196; 220147119; 818647862; 65855531; 27395569; 94059410; 657771435; 721348465; 426956289; 611820548; 334048530; 28844581; 819673670; 311728486; 601763717; 962067779; 458920797; 303993498; 659045004; 888093834; 870079863; 278698184; 809650429; 671738318; 927727926; 947026591; 879568572; 74943796; 653013322; 376410158; 983385571; 118895072; 432432614; 705446142; 520591570; 684212485; 244691742; 909748538; 391665544; 277161396; 519694827; 874304712; 284620170; 106508836; 839949459; 266579021; 489014321; 621127008; 475660424; 776677565; 386575564; 12471060; 52907084; 81922209; 474827042; 687394029; 984774765; 416911248; 85736670; 66276353; 40855538; 112756094; 439084133; 207718326; 231323355; 519329985; 176742867; 889461107; 453350857; 451768693; 365977305; 446659228; 209053182; 772966030; 344608783; 330476236; 548446049; 151251983; 531447902; 972616941; 979858963; 522680144; 229873574; 937044459; 229209471; 55833958; 39294961; 802972223; 34842370; 983639228; 62061138; 10920891; 128578483; 861056237; 435623049; 301952095; 345144589; 110286233; 867601119; 848126981; 531963348; 859915530; 708489800; 2441070; 229553688; 266838501; 772899334; 192225112; 418778542; 460405584; 662995858; 996213351; 78697609; 613601039; 42084236; 143602569; 217732188; 43160513; 204208269; 12636466; 415757425; 590669165; 361067484; 393888218; 301101895; 937162978; 16461768; 302336242; 745709970; 404853179; 818923795; 584264649; 649739293; 508745541; 938152798; 237585195; 28273127; 218855308; 844763688; 785982935; 18686035; 820386293; 295715742; 582690865; 580984072; 417304743; 299274074; 735146395; 777782413; 587503135; 198392061; 341389903; 712966755; 945329046; 520832312; 597771037; 26306322; 178264160; 598366709; 255835914; 213547238; 219767683; 933552009; 254820196; 409059083; 902557616; 439046740; 110181803; 956151002; 789941512; 996246792; 881151919; 799854181; 261701124; 415194373; 542764107; 967240518; 975764593; 693436116; 958514302; 875347546; 798275782; 884164883; 816435919; 296562533; 155739327; 402326631; 475028781; 914661061; 699502211; 979938348; 46868776; 643063066; 384900640; 756238626; 974862119; 596263850; 720561048; 11035104; 491445872; 30734351; 212009557; 561180503; 293908160; 29416856; 105758322; 254249772; 613763906; 69989888; 636269888; 565018547; 752917217; 146437249; 183394111; 301289214; 798808054; 753484822; 925972670; 806694211; 199202177; 721358645; 947528209; 299986634; 954227347; 302691509; 829745364; 741124913; 626848764; 590124058; 212388416; 938031742; 611602961; 346599556; 548521920; 551123534; 925159104; 504023207; 660152010; 461557675; 598616118; 655403474; 743966843; 416660637; 354901831; 162927565; 776203206; 946998337; 597405961; 295964973; 489155022; 562020940; 163545046; 754122435; 290367499; 53604900; 628731526; 143504592; 358851520; 15746286; 614508528; 386404296; 595239818; 977280737; 435510824; 469573614; 79829570; 177443076; 621907450; 723463949; 515948562; 476660676; 179811557; 750579534; 226358663; 466007645; 372812925; 192865819; 5807040; 95455526; 625624472; 243832458; 988717529; 655605310; 393256781; 673096728; 559971261; 970409101; 603950155; 5974697; 402696520; 473759155; 159808581; 306576946; 677133095; 763955014; 566314526; 130284264; 198394173; 285039505; 187483337; 786891082; 392860422; 57366596; 689699097; 144614152; 756499980; 774302436; 474553625; 839568136; 739738571; 74827121; 366207886; 265727401; 861696091; 543319501; 599984846; 74771381; 685591075; 492515611; 605146162; 873203266; 585117544; 622195462; 93565395; 675293716; 99019461; 94664567; 71245039; 880491949; 506790439; 848189657; 800732093; 537574860; 430527507; 611733415; 775380702; 484537194; 859045635; 446164870; 895083733; 316504; 243946510; 352467441; 269602604; 270126434; 657941733; 505293180; 559029330; 96774500; 960028541; 122800974; 450584684; 957828640; 954287447; 767856198; 762967599; 984514851; 396309809; 398991896; 860594398; 169016830; 912930566; 450212146; 41342043; 610141521; 710909485; 89426554; 174206921; 175225989; 463775426; 958645219; 693747847; 873791316; 900502087; 980548929; 370346229; 360965230; 767379015; 882241157; 562921239; 567350935; 926710531; 592260879; 20354337; 463153485; 235184886; 461878929; 86271418; 700782808; 584817519; 386973833; 541392885; 466114376; 111225663; 823701522; 251028787; 337480052; 962719053; 259807363; 487213258; 638359663; 62214485; 376839032; 91432388; 487382422; 806765258; 613903715; 451754967; 858070970; 924397083; 494544281; 559345079; 382639216; 826813935; 333028226; 209178829; 437433326; 760617107; 443580962; 356128129; 774249164; 356854234; 196350001; 254905565; 478320404; 30227139; 655781299; 554802027; 650637776; 350135639; 752627688; 655066974; 60510811; 441992651; 948946612; 873790570; 331316654; 680900577; 987994584; 460854972; 577606058; 947135165; 609591; 578921917; 246863656; 61318949; 188234796; 788938167; 213402915; 736452916; 114026145; 239602063; 793328841; 150637232; 379049599; 823928229; 282144310; 397815948; 447261548; 294125464; 309570413; 901649723; 83253591; 215227861; 951199698; 94218052; 320620574; 193327276; 719466608; 567096384; 483406887; 942435672; 77244863; 153198825; 450904010; 675854873; 841627525; 596715915; 966741776; 260746125; 378190364; 688016088; 304103903; 783017435; 994627214; 92713210; 495724484; 639699352; 321108002; 390544005; 385536555; 977966908; 780378191; 972238118; 4095571; 538552544; 49204349; 413014129; 581052293; 510632640; 922349005; 695830688; 823448412; 422753559; 880333501; 864818788; 721147922; 627976437; 408940982; 830754688; 754292329; 836862233; 752073723; 102666113; 930925087; 203218849; 758433486; 8701030; 686106338; 825121176; 7664782; 727514817; 998862164; 61372229; 386231474; 314450697; 772522139; 285427078; 239734918; 863711529; 743678890; 151100309; 483521005; 449497567; 106359832; 771877885; 49269974; 942197677; 839356444; 234933732; 755188184; 975044361; 467430581; 681038511; 681037302; 599564793; 603890192; 29855375; 90750930; 298186726; 92900204; 52587263; 871692306; 690955412; 674305383; 143395477; 424576464; 143249329; 814213576; 498318747; 76328771; 468836849; 794905920; 127086620; 282231379; 399109042; 368160600; 651461963; 68455784; 809263947; 353997121; 417239842; 82295251; 560499835; 365113717; 158367206; 791103997; 799848786; 869954935; 602222450; 776616157; 202330794; 752277459; 882714991; 643546835; 11639367; 990664578; 535467506; 57193402; 702033444; 642974707; 246383293; 961495061; 800631368; 92480703; 803458153; 239839021; 522969784; 314952741; 289030202; 290119208; 904243737; 555694826; 392744401; 106284532; 171045252; 133459289; 436192016; 714115847; 485971316; 884809578; 510404328; 758730396; 784383865; 696707844; 284166840; 395893456; 623675905; 434581762; 826639492; 650134360; 934163734; 29258652; 808433574; 218588638; 932393362; 480465354; 584101426; 807961121; 557668490; 902686723; 666130522; 62155534; 860152918; 52499331; 995087542; 671422796; 546244924; 843382516; 387427894; 364509399; 659989588; 317534014; 323898171; 613840248; 72829887; 436547116; 708098493; 672996953; 524074516; 988218951; 148865785; 244294192; 313144469; 73000171; 216305689; 57003781; 608714936; 624067570; 36140707; 434195915; 210618902; 937661998; 350591954; 948053658; 250312268; 545974075; 326607569; 466835596; 427090797; 340943208; 835957807; 593545395; 211138636; 514923598; 952388555; 735593807; 195907149; 629507492; 820987640; 1582058; 52471562; 733567938; 961417675; 38868615; 847211057; 365810754; 48375151; 696008220; 684169958; 567360023; 158792851; 755404677; 475509157; 174425376; 359466365; 311396831; 949596887; 631297849; 205518660; 497606656; 961209049; 168228295; 690482308; 773036610; 714138454; 719870998; 516154261; 697835006; 960394770; 558336361; 964146047; 955086055; 186765891; 412932610; 642110134; 952573300; 133975310; 1775075; 10768028; 782676097; 562855633; 541496398; 506295038; 767943613; 985078136; 438105488; 2804; 598117700; 530471683; 591537231; 895532438; 813402013; 506628931; 847101488; 321093330; 466902988; 891309375; 349999660; 411350052; 51704615; 876947213; 501674726; 122509609; 104266868; 723367728; 529409305; 901192356; 992655915; 170789234; 247304345; 55139395; 162733694; 665014441; 34380165; 719129559; 629199314; 946920712; 855759682; 516493444; 230507954; 9009287; 532725406; 348844323; 397634277; 843157752; 183974678; 860372662; 153691164; 862376838; 355827073; 653905104; 186569608; 97602389; 108984864; 889080249; 834427072; 309036947; 598100311; 592828160; 39247249; 293924931; 149781410; 420445549; 310517702; 797035238; 639849007; 915035996; 671820335; 640159454; 40965612; 661841800; 609887380; 38233293; 402995892; 678123340; 618031959; 718523862; 375072132; 236750786; 648103054; 346585879; 547627910; 169508167; 693365699; 317985533; 518208195; 727314128; 185998084; 631034371; 804322823; 922460495; 535537621; 446288913; 77880923; 366168970; 606027147; 884253458; 99370767; 255587618; 818618415; 126110268; 72596769; 383440002; 949743369; 487531504; 82781950; 970575212; 537053226; 497239178; 422183052; 824211392; 188398300; 958635255; 989264493; 33154684; 204140200; 257141813; 206917714; 543099652; 675058301; 32551936; 64136525; 793995633; 324893473; 246627787; 101433571; 728715593; 121558696; 76840164; 981056315; 747471258; 266165239; 772625047; 12762936; 838550535; 176252514; 500527728; 11418605; 308125351; 741227982; 285757853; 482902335; 330710541; 657367896; 120884354; 295067812; 360982527; 742005052; 727582900; 444914741; 894096659; 245620487; 970613030; 208133301; 132112272; 696385307; 538889824; 270307626; 707518653; 964486771; 982975035; 605636698; 888326219; 183744049; 933413809; 145278820; 1832642; 705753625; 933581143; 478576264; 774443999; 514540695; 953116014; 304035977; 748995052; 412794168; 182068198; 294920457; 812621809; 256750205; 164168674; 234467380; 163578309; 297633839; 705268496; 735471743; 869047982; 395791929; 53568474; 972019821; 632084202; 86876175; 287973391; 698246309; 48884265; 201392833; 91272799; 137582095; 353653373; 144664142; 248954776; 152451402; 286780857; 83892611; 655333943; 178380858; 379492650; 864812345; 156091190; 638029186; 893002497; 409065800; 535447962; 232378785; 464396408; 972995477; 925534142; 436833402; 261063874; 931180609; 693107185; 694927906; 217891515; 795709713; 952040278; 198779851; 560392441; 32434852; 278964395; 515285298; 843307113; 681915761; 399359186; 358527257; 870552927; 244317638; 939208086; 681480213; 58891111; 658021191; 280425191; 905363879; 359931996; 240205942; 415904505; 523271123; 94109247; 499057590; 424792993; 81868495; 275908744; 550143816; 330317449; 549680921; 314789961; 804512875; 547586493; 669386972; 300948906; 292406856; 241275312; 34720202; 579255691; 74568182; 125160383; 321657731; 235487421; 944335540; 254377982; 317643334; 861533235; 548408404; 890411756; 493459895; 174624188; 555620205; 465232771; 186995834; 375163330; 819435900; 361583488; 28989695; 34076824; 126034998; 983917709; 199571029; 562726464; 381407588; 164091963; 855167276; 104019578; 789682254; 25262751; 167818698; 693913780; 403197612; 230053062; 156917626; 866639943; 975702876; 430253239; 682789934; 528425139; 116445910; 160966775; 728223187; 472743014; 245425938; 92889533; 698938693; 80649629; 746314086; 49694076; 165147163; 275466494; 379522454; 887553720; 269180179; 317184320; 616078934; 973736013; 244355743; 344418653; 443089805; 975754013; 272679627; 503968084; 971888262; 550226257; 35935079; 167420269; 37570865; 360980268; 322891981; 516002356; 821108729; 986774210; 182902791; 904199778; 180022194; 131246044; 200870264; 531483171; 812199729; 772559622; 771143732; 276653620; 315174114; 693701322; 140747947; 438931854; 450019356; 860844249; 345816688; 519625853; 436161043; 954143744; 524921785; 724057043; 568525832; 46334975; 492955999; 329856753; 587145043; 955062619; 377219235; 149818119; 289824719; 132399363; 198916424; 462652011; 509884693; 969439294; 856486815; 118479816; 753271941; 456530411; 449830128; 801224331; 456375980; 406335558; 159419557; 561013657; 167115554; 398990117; 244222; 86923001; 744763514; 145522114; 289889212; 106610662; 380351210; 631777516; 91226396; 129333901; 655178046; 252844605; 541101109]) + +let test7 _ = assert_equal 6 (continuousSubarrays [748485140; 818457444; 506065671; 457502910; 80372915; 643314518; 575934438; 977493309; 303861502; 451292516; 562893213; 16654857; 164224969; 879121749; 598354394; 701732173; 855419816; 850202985; 284556313; 786617533; 174731254; 284227629; 730932068; 546999279; 263147370; 592212889; 844828648; 140569546; 654375423; 290560037; 443563630; 556480490; 248418885; 427128412; 128528319; 262290964; 560252607; 205632148; 687252519; 201341706; 542114760; 751315222; 28054952; 146060555; 286324553; 723395795; 699205139; 180609404; 92395765; 573013363; 142337050; 933004554; 663088753; 924545618; 755655796; 256864418; 960884095; 289990794; 397781173; 489499719; 497985443; 730080985; 684649399; 330016731; 161441770; 354948023; 781487770; 720656125; 197428971; 917922707; 789355336; 389182177; 762560462; 247402397; 651424144; 770212175; 842449487; 727531591; 237869863; 128497350; 666827756; 839086166; 397376566; 651932279; 804371459; 270030139; 833803204; 25908662; 642012770; 851688874; 165974817; 784039105; 890083015; 256982738; 886128275; 795837824; 187760541; 129855962; 91277951; 853077955; 590688246; 848102515; 152750841; 184457533; 648973262; 841734895; 964190308; 70362282; 79703103; 493825689; 349646103; 211451060; 268377359; 837673454; 342044293; 265176922; 834512107; 518893195; 804270417; 333365103; 193576017; 759059662; 19268886; 74023257; 196874840; 174457978; 514350726; 817238427; 20126176; 265050606; 661973434; 548579457; 834944212; 606004756; 353779028; 88387346; 925072092; 765879579; 537170780; 327187423; 230021199; 441746236; 723031939; 187730389; 39545903; 871045935; 957851449; 839848047; 757035608; 574359194; 876186364; 268495605; 191211461; 32495289; 855754793; 528305120; 794377215; 637750799; 369230176; 56038536; 314861731; 165635742; 337338682; 884353685; 153900907; 359675668; 309822853; 847625751; 154542801; 614677625; 604354591; 873534143; 485555082; 632628782; 520496101; 337219759; 959490696; 221350910; 571855248; 209423887; 944995065; 140319420; 729049916; 76623696; 295987652; 554821245; 489737977; 366881335; 700360668; 730101700; 711530731; 131392855; 157351040; 873990335; 682339223; 645336330; 237732964; 510195169; 565306639; 933645929; 789180248; 967125671; 191162213; 484789721; 124612606; 813932065; 95871726; 808880817; 766277347; 37518466; 130461075; 129676869; 984370812; 850862559; 788718100; 734665378; 427922548; 199620735; 789264713; 852751376; 300958415; 498227492; 308360560; 281244809; 458753439; 143138232; 621076864; 619828741; 926524721; 481741485; 139704752; 601799065; 290015865; 300032004; 273244397; 966656352; 794886180; 429986394; 950572328; 213800006; 57897882; 680570699; 141523367; 535867642; 972056488; 31738710; 58465003; 903077976; 414092516; 816593501; 546738417; 886829547; 245219729; 655614316; 521360774; 18844803; 761536269; 373783572; 216014949; 124610564; 339267818; 878683618; 843926900; 765554304; 959196167; 425257971; 102124907; 118061052; 208312151; 442183411; 693410321; 789954619; 286181441; 513284181; 952560656; 606559166; 149155130; 808094720; 787096110; 17020039; 531598700; 451274187; 223888101; 841504491; 819611390; 988076016; 268266187; 935083015; 351017155; 266521776; 322550169; 995246669; 369790663; 852602567; 585142557; 589249516; 443183573; 564213629; 99476363; 804329589; 431350062; 311519511; 987506029; 746744174; 965140064; 448156137; 203477361; 842743007; 770043015; 325008565; 758454426; 217299200; 782899590; 61032634; 480484445; 838480881; 799208231; 630331102; 155766141; 295672090; 983294487; 8943328; 342071707; 111989203; 608376793; 147032987; 762741989; 668406659; 428744627; 866024213; 969858466; 724437042; 177505980; 286615873; 368577390; 283714618; 551748673; 293410211; 305864488; 101095935; 792433685; 696841184; 405599547; 984100687; 222822032; 616749292; 226515016; 797023376; 761307335; 443700130; 937163513; 402143219; 104905182; 566823965; 132335584; 911094355; 198224795; 17659941; 958383853; 91657534; 662797460; 747858577; 114704298; 206750671; 157395969; 133428743; 730270035; 448699666; 349642221; 226147470; 248282400; 560485188; 153113708; 806626346; 499590439; 439418289; 236546438; 392209482; 147371422; 217819547; 779781158; 432902043; 533877275; 907617117; 447335227; 991411950; 266260239; 231239254; 545489560; 225857942; 629498751; 37749914; 981869524; 615897331; 81260211; 276723944; 640356819; 300363283; 480490524; 298711824; 52573678; 688374440; 481549509; 106170017; 733532305; 101812206; 760019185; 375331128; 820923186; 743939829; 651113393; 15236452; 45849677; 437180219; 960988373; 435301213; 144759072; 113625062; 55604366; 267956332; 49508301; 736939200; 519820366; 296927810; 418541696; 934626969; 353402892; 906028813; 360976852; 575137012; 746850155; 360167674; 379261638; 139320675; 76565334; 3958497; 16677925; 911126688; 996645048; 617146209; 13611945; 323387463; 339114251; 236019074; 406031823; 186339762; 987109806; 703927908; 637081125; 817273321; 600844307; 334961346; 403171917; 131056190; 344139884; 477830262; 973028331; 707764706; 396800997; 135436098; 39886909; 894613079; 468853585; 800713085; 725047370; 95526485; 529322301; 520105482; 527054180; 298791947; 515483373; 35974647; 836684990; 924761399; 128197804; 948015992; 126059517; 1204693; 795519267; 984868861; 398755515; 92254080; 873398082; 533756541; 432264926; 747642049; 365600030; 47549680; 756911109; 115499757; 600591458; 361043758; 479239578; 924900542; 382403558; 134820506; 885214733; 214375743; 729698841; 696156237; 262989446; 780660574; 566669387; 317090746; 245284682; 434338790; 166008824; 131609705; 971996773; 290952561; 506708065; 563585090; 525030275; 156568851; 960798951; 770310051; 325083595; 53621322; 724524764; 815068099; 202061012; 114639222; 825213335; 325895361; 363861402; 529220602; 5871426; 491116460; 222305677; 550496304; 485641377; 477758422; 81593837; 344691973; 352430242; 729932390; 653710630; 328675557; 262513481; 876009158; 531011911; 39981886; 222782594; 233028668; 536368887; 963754227; 373743898; 743528700; 816690336; 299551861; 785650862; 854972615; 290937784; 6935446; 400544202; 697015437; 986928456; 121169140; 890059455; 279327971; 158345031; 916595063; 508156449; 886377770; 583743834; 324637544; 73344229; 744345267; 79409073; 183549600; 668195795; 46731435; 282318666; 907972584; 128741603; 559245966; 814019823; 253202135; 157109433; 893074590; 899185076; 295894858; 699630740; 180160054; 155987237; 74612369; 493167821; 802023606; 750708744; 639346175; 166183841; 775993581; 131164218; 869650150; 54062311; 59319656; 688898310; 17731652; 812709503; 909032031; 581268400; 813108790; 77435105; 695878098; 957148297; 584422565; 973645802; 975974139; 850720564; 820097046; 513759074; 147217339; 59668526; 618472170; 402324114; 458398076; 769230171; 884540460; 146420103; 113470389; 508772974; 175144632; 318451539; 723084496; 273592098; 354912599; 294811814; 513207569; 919538668; 785561695; 265446139; 922822398; 758370844; 605517393; 876419736; 724331638; 204363819; 785615117; 189664515; 653842070; 551928009; 574810047; 294709894; 534569739; 785732600; 296195080; 690648420; 951329410; 519301102; 574044808; 672140478; 164227393; 608787170; 379002322; 982894579; 262637329; 678744123; 506104266; 92596723; 923572788; 565205389; 18544142; 697578576; 419246213; 194189146; 455881540; 744578594; 618487355; 509745610; 679847120; 714963785; 508121049; 468160690; 20034558; 962748748; 273950013; 896186132; 277044656; 214706135; 61101217; 177497959; 612025683; 972015962; 323883593; 281554906; 185556441; 9437573; 449694178; 609116723; 165208634; 485241528; 243884028; 710662400; 484589402; 110413377; 504778061; 839316221; 25108129; 677008538; 780669038; 289112691; 478070485; 989378825; 242605313; 849929893; 590080723; 228429644; 269250038; 505039195; 176006772; 693936837; 11621482; 600484241; 742349506; 241501964; 825662057; 54027229; 170989431; 554251656; 357045885; 788847240; 915523261; 678283956; 870083479; 319686275; 529398311; 797273390; 530036547; 231840157; 244957971; 724525878; 974304895; 336531669; 647283782; 280526396; 279306465; 408240023; 301447422; 308385615; 376188075; 497022756; 2476683; 663043006; 798607523; 885431623; 366221448; 514043499; 782115954; 486305031; 452952388; 594734152; 89072615; 56724351; 793783249; 149364752; 474011963; 154864220; 152729874; 518445700; 595185814; 180723164; 133607298; 595049994; 322079639; 569788882; 317190776; 521722284; 473686804; 347151485; 545674690; 556021319; 775584598; 466197954; 564024569; 496352869; 392994387; 146818321; 790232392; 882714968; 524149546; 142057685; 479013444; 625382323; 44027004; 483957105; 890696120; 838363015; 249919050; 238967804; 635511617; 648625626; 500722480; 873390348; 744548888; 423532071; 894139061; 553605705; 59488144; 488667129; 880712296; 742384651; 67742024; 715093808; 873088969; 443731234; 181555488; 109151584; 102957371; 848824546; 711259588; 320432594; 321060858; 882851471; 615235205; 196782725; 707888042; 955456874; 558134221; 31047364; 213203402; 99491659; 22300404; 306628809; 756516451; 945905633; 30787674; 871298532; 392034147; 121009584; 208559778; 485626124; 152759455; 438609683; 570314263; 252248306; 667983479; 324068526; 507953416; 459522995; 248011008; 808109072; 467946276; 24759494; 122618311; 961238575; 6970299; 866304396; 130783401; 836752729; 591418916; 863713465; 456618583; 262653; 400283984; 518807113; 406688506; 527710785; 880641150; 788966442; 489884576; 557655723; 89044643; 893092400; 976137909; 138970760; 422784003; 288939331; 302788989; 222911820; 334030734; 376238572; 131012521; 388864015; 409140160; 687641522; 68157161; 850627294; 78345; 295282276; 431695930; 376911732; 263743826; 958635536; 316555613; 179222826; 693012216; 544315240; 329360515; 302181972; 192006037; 978434133; 437282340; 58706327; 12667183; 676543489; 594029511; 794415885; 941759408; 541026225; 945068012; 141590355; 195039273; 719862257; 948680422; 724029677; 40719482; 834814309; 526348938; 920832238; 801734449; 136088836; 152292571; 311799060; 286158897; 832133166; 467114919; 749104718; 12218709; 538141538; 577758040; 117897077; 277395076; 469137083; 287398468; 485521712; 846119383; 723723819; 378055727; 6574944; 50626160; 669686362; 625563880; 302437703; 807466162; 1797813; 211078507; 25658168; 248981061; 745633359; 33095442; 610474509; 426866823; 568052535; 243075577; 321221767; 763122989; 943285449; 339699252; 321092959; 3148582; 615551049; 159411817; 815798051; 485192419; 159925357; 590868091; 670798960; 91856800; 295562268; 934130273; 426376652; 107359677; 167226099; 765147931; 621130061; 633124528; 97666752; 823770258; 812852883; 573424940; 752701805; 970288168; 603072798; 828112431; 634855343; 651489699; 344326216; 290579838; 244991220; 320918147; 746911462; 120161938; 293812777; 43397250; 961075027; 550134742; 447134612; 211048103; 307372615; 108292934; 288699938; 562692578; 875758787; 973536709; 688154227; 287497318; 990586497; 589933507; 690572114; 668432653; 329260404; 822006493; 662101669; 531013448; 442109063; 675258646; 330147502; 181659752; 253335540; 431849848; 392141110; 633212150; 220498682; 911387881; 289624303; 842615521; 247554864; 707863038; 642863191; 160227693; 724174624; 397668291; 285827723; 17479921; 636886110; 256328214; 904495917; 527144643; 776195621; 150111687; 975220878; 30553798; 719032322; 795733152; 497054940; 112269952; 404011861; 624415674; 287644939; 661048140; 695875251; 315367952; 394112390; 257567971; 449342215; 499789730; 937414369; 21846598; 994122613; 440793919; 586079413; 180397629; 243521067; 850914261; 558451216; 452286953; 76625603; 622862908; 783053901; 393860178; 294294339; 818921228; 569663180; 237955193; 265783037; 43782175; 239924839; 678208704; 604182178; 824054526; 177538594; 897599347; 800247491; 743575745; 739208502; 981655045; 712286007; 17961836; 83814550; 379802853; 425817532; 667628659; 409773093; 673930867; 360431114; 318356109; 202065529; 928514529; 202383698; 274644200; 786667259; 91780979; 221736354; 461097882; 65592912; 530274680; 8589; 219460841; 393467602; 663152524; 53027156; 527931992; 168536945; 846558454; 29443212; 598711907; 592378252; 606917117; 579563590; 875863837; 739403787; 9189937; 473885926; 727512343; 734684195; 316201751; 132691566; 136515646; 715407233; 827268982; 907009986; 384433581; 573038794; 794893534; 600445267; 140735225; 619266996; 66939388; 689068511; 721963080; 99302522; 92339517; 980688736; 91213504; 918317674; 128334533; 320290206; 936668224; 967135982; 408171147; 186972979; 566436512; 590171036; 310006223; 871880060; 941538926; 514796130; 270265109; 310712432; 458555262; 780633984; 944707642; 187749389; 115257016; 962262610; 541516715; 632924307; 656274538; 304816816; 629081045; 234850083; 236340837; 647028802; 333968395; 627570472; 312597841; 202377250; 798653042; 754101296; 477797216; 910362065; 860119445; 913720805; 206861443; 132664552; 439872567; 54907521; 288152482; 92152121; 683095196; 609197435; 788252635; 982569832; 154394254; 301838301; 359717596; 874307197; 845486183; 552449526; 375291865; 930221696; 592817589; 156123788; 118929292; 467290722; 195892856; 272296004; 212939240; 904730458; 519306913; 246179513; 770198319; 430550467; 97570725; 317880683; 410973270; 860129732; 521013249; 863420915; 855699511; 817603876; 256457641; 951190112; 948280967; 972938274; 584773059; 373323094; 515756985; 31219854; 271033056; 817757775; 888742662; 357456340; 749520719; 146061248; 672284022; 12571614; 51088545; 466792238; 732763676; 367351143; 429685217; 829089764; 621696397; 692520505; 643410547; 507067336; 304847218; 143620469; 555420956; 851181710; 166984203; 751198951; 482549692; 925466245; 29286695; 863072426; 603601709; 587239364; 959176087; 891540262; 787438966; 498976128; 358346970; 261845220; 68489456; 601716845; 999410640; 817401677; 802563518; 76733511; 975440361; 2276998; 792373158; 358566582; 655734495; 515874241; 432156573; 902862653; 215090726; 516372150; 373284049; 195760946; 893141896; 667191635; 96858981; 711232159; 463416635; 465158012; 218030684; 720969562; 265109590; 645354775; 837460424; 641457638; 336971879; 397092851; 433712232; 798932454; 691850253; 825550483; 196858365; 205569510; 35396813; 171053310; 308242663; 955990656; 600948148; 537660889; 441530135; 221081516; 996134157; 473361744; 586992443; 144049495; 974254372; 133472446; 727568552; 291224373; 752508672; 928988475; 131544784; 58887900; 540720627; 836842650; 723725797; 74492062; 195770285; 746865991; 236845498; 461308137; 612018663; 186672335; 669574120; 177838546; 320617405; 243062637; 61523876; 860847866; 291394259; 440875414; 124596941; 439510313; 950156356; 796400724; 946724825; 614833352; 46470976; 471829714; 95314021; 917698400; 110012279; 651110540; 680137580; 890185882; 150938897; 915603342; 229150227; 740124651; 50158650; 585657756; 979950978; 755241152; 235744246; 504822783; 925314767; 51112405; 941171378; 830341452; 230145568; 888480142; 456078129; 654415446; 571180422; 952203526; 125846481; 356241593; 373795685; 913628423; 713218055; 171583376; 441087964; 994435808; 209242523; 622762990; 270100603; 108178505; 430304908; 96857099; 164808955; 89117285; 992190799; 424141064; 18894847; 676609576; 981080645; 951451750; 315879162; 543169380; 710735252; 460975386; 536428905; 209313474; 804813040; 389232815; 608617014; 618152153; 249512599; 822445162; 366742904; 47168485; 295580307; 137976362; 801112837; 676657595; 256951595; 765860629; 239396244; 636747580; 450872701; 791657845; 610054487; 550583303; 339415725; 883363572; 881833184; 397036789; 251347555; 397792695; 346925269; 961098425; 185806472; 843783052; 121611461; 807568618; 184337678; 714716254; 207678348; 30833445; 708314810; 736077699; 363662209; 267986416; 459584245; 698842305; 334982813; 264654222; 645359267; 911514932; 371513377; 389352093; 54137949; 980028816; 723077961; 870261826; 67785917; 307989780; 13133900; 450547943; 232187540; 407715969; 204436595; 769169965; 906760181; 240121045; 307010420; 297065848; 779580011; 830133228; 825131819; 300273684; 951607101; 231128018; 814048585; 862390852; 858632208; 915808740; 111089961; 245314282; 335093588; 873500593; 345285648; 577400433; 323310179; 550224431; 990074151; 603649836; 883226821; 333828514; 982843284; 164094856; 665481454; 77220631; 182217347; 801093664; 557364360; 377291798; 589924418; 325268712; 974126658; 310235865; 225297504; 744291843; 29155592; 472699270; 9682851; 213026345; 127745316; 917800106; 726224307; 80428037; 40022138; 766001052; 237006454; 479680711; 880448853; 450352179; 128875732; 618823197; 839542521; 625905079; 961559891; 357037921; 588136650; 937522512; 300291536; 396606177; 474939644; 109640613; 797166558; 994886174; 777678880; 332761198; 956731980; 475449816; 393650828; 692935415; 839760001; 113668831; 820989662; 237646024; 14718815; 404895739; 139608203; 648703639; 918634021; 781265120; 358291861; 313890587; 344753318; 13693303; 145039552; 744628808; 694497075; 378434451; 19792793; 612086964; 612940437; 212537851; 681148301; 968104162; 231048289; 126608855; 944956033; 118621456; 423025622; 718205921; 284513733; 124196680; 10109288; 999649708; 68164117; 460625207; 829018903; 717784045; 424464059; 962459417; 309147279; 429491153; 953693041; 231429868; 344729507; 584491885; 996959535; 205351935; 18794978; 206433266; 677628803; 609319953; 655742298; 295455023; 596457070; 692084840; 104965940; 879693478; 245139886; 941675494; 417655662; 698616179; 640504889; 743884648; 422923162; 395729315; 818547061; 277568028; 861397507; 701133279; 836154849; 963719188; 958131783; 762993102; 325472013; 261116661; 988511278; 7179887; 650120359; 957015863; 70619713; 574309329; 873794746; 262016615; 473376861; 203408812; 302340125; 300816930; 753088528; 963500456; 459335464; 284243852; 480149675; 865476479; 543054492; 295422644; 476815097; 905571550; 608105429; 280559553; 882890216; 834309966; 681040244; 560141996; 43183443; 886510901; 242487238; 514104179; 370925641; 337683599; 505778526; 936224432; 127014958; 935435038; 168361596; 193263960; 877357471; 390664425; 197622326; 477662658; 316679566; 196295589; 879225597; 450567200; 506539125; 707131531; 466037425; 36918159; 644449219; 184862782; 403408782; 203276909; 740966903; 571864285; 70986410; 661904320; 945174100; 605567132; 394987596; 218391221; 357330028; 225873759; 528442058; 230126162; 770871265; 162609537; 883240731; 785015721; 962328239; 913524503; 891073500; 782603052; 977100889; 162743708; 490861146; 124722122; 3896961; 11302583; 767559066; 438694342; 323486819; 896823402; 127794951; 362701637; 135196241; 819204129; 12283025; 86559435; 29662009; 91282915; 999316178; 259657912; 34858522; 703587346; 653533102; 197692406; 257666001; 982767729; 69814910; 473364082; 367328628; 808215862; 742999351; 970891462; 254200350; 307178583; 843357803; 427860946; 921836239; 787411499; 123646888; 152503773; 495894665; 360119407; 914223676; 224764875; 908867026; 369330287; 396452818; 126886971; 740822328; 869446842; 583741341; 761876898; 741494514; 55016979; 585546510; 591045638; 195337337; 556311181; 814316750; 27783452; 218187979; 59964278; 863047704; 143900307; 367382823; 67110084; 648193980; 809901190; 299702296; 346298077; 701633876; 850436678; 546057463; 26794087; 548852587; 262867638; 840549667; 284574716; 458250692; 44664849; 844852876; 688948421; 78346919; 564400687; 751880848; 423103146; 967830621; 632876843; 565986688; 296367665; 382692892; 542303431; 694744353; 476468009; 500798075; 802526325; 825795433; 504841257; 760126100; 979392126; 879683379; 490805336; 100448667; 217807375; 339023451; 276053099; 234510396; 263301863; 536898482; 304586545; 772742301; 384826143; 209746290; 259216428; 594674934; 571367800; 210515729; 264160396; 153721824; 95412832; 778776181; 263679946; 959573349; 869191643; 441994231; 704286019; 663556532; 319363164; 612795973; 430257262; 909706607; 111926776; 375760917; 387304565; 335773545; 831500736; 35014834; 485494995; 963327447; 750778462; 856301811; 595960184; 561078086; 757147130; 487286310; 4640847; 916794602; 996463629; 144298586; 187437932; 631043184; 445823195; 767166259; 236034948; 837053060; 157657477; 654123499; 748318470; 891263020; 316541253; 964263500; 851821599; 434177168; 962275260; 68195477; 795769386; 484737203; 527057106; 802326351; 140226534; 86619100; 909117955; 184708746; 901108691; 988527573; 30801946; 678499884; 131610512; 666590653; 965699409; 60343534; 289331153; 521673741; 29660230; 637561402; 170703387; 978619909; 200367382; 337434285; 97358163; 62550481; 830574717; 708878867; 450087846; 753242449; 35871901; 644447052; 434884281; 780779475; 739208537; 602369758; 219643987; 926302798; 154087764; 193252757; 114470464; 545461823; 32788279; 290608129; 930546363; 953429340; 463125615; 103913033; 150358728; 976263423; 895878172; 474984807; 909167523; 852366518; 248870616; 214014785; 728079494; 537112349; 699541647; 296187355; 485415759; 500286242; 111944956; 171072966; 554227006; 261947382; 516121960; 455539221; 130770917; 637455848; 441957245; 627066084; 105493028; 198358664; 353437280; 60377016; 454261355; 577030023; 539632514; 477526946; 973886645; 435211684; 327724799; 597914696; 2839768; 621274802; 12319405; 762035363; 764748119; 379259907; 202745841; 6478619; 688843486; 862313085; 6324729; 285755942; 682407538; 670817617; 875261293; 739743535; 59518439; 541848422; 177775535; 153468441; 716506693; 733687833; 345930288; 938050532; 83136435; 70872586; 906537941; 21555049; 515048173; 839242802; 396906130; 310844657; 578603052; 821791122; 872165888; 837396195; 267304170; 64252641; 92024826; 182063818; 638303727; 88513975; 30603118; 829512185; 236040182; 670559513; 556011540; 814032526; 697410735; 69716649; 977743132; 811443499; 830138007; 572299923; 261253051; 225993063; 427923983; 746630623; 121078088; 635180664; 142548090; 799979233; 861949709; 734661067; 217336233; 30476061; 408959552; 346240279; 552774360; 806711370; 599717665; 662719669; 419845059; 153401332; 617877386; 660614953; 417711170; 52089229; 68964516; 917775244; 305402871; 22077740; 912043225; 285478562; 264097633; 533731202; 388966654; 356120859; 391669852; 922609595; 839616185; 608268608; 694720341; 803080401; 765661076; 936703485; 882564282; 142026427; 502112227; 356191972; 372356019; 810261805; 873717309; 211403108; 529743845; 816203589; 245680434; 885981464; 225116394; 101446118; 732342305; 755156935; 645706422; 32901056; 707620143; 390899886; 371230218; 730030440; 202489953; 143790117; 502078862; 625946620; 361640377; 46606866; 489332711; 389593984; 718820968; 144983849; 392882268; 43407580; 293382243; 360436177; 289975915; 696633121; 267213181; 58783815; 616820779; 570924631; 381895775; 406727995; 738869277; 226677353; 926450165; 443701265; 241699512; 815355105; 165731339; 398388471; 305704214; 958583772; 999310443; 482541030; 225861310; 394364634; 155947867; 525867350; 337614651; 862717659; 886483590; 604701743; 328793927; 380581264; 754679321; 961635353; 715473285; 288378121; 317869910; 757254394; 654152543; 198855116; 897378163; 243078873; 638921911; 762826746; 302261514; 951550396; 472055446; 170484666; 265630047; 691426587; 339452964; 663555665; 451518992; 984237181; 898254722; 856910644; 598411706; 748721493; 587042997; 517300560; 585082834; 252604371; 858796853; 394773734; 802638187; 741853816; 813654068; 192632646; 352555281; 570731809; 118817410; 937374179; 272959731; 128954769; 580325202; 489394273; 60864222; 710845313; 588077355; 581122667; 720487650; 904387127; 55824796; 213073178; 491030842; 226307843; 981618726; 999183561; 252285236; 669480205; 397652265; 572910774; 106399719; 529029196; 487038794; 358199063; 184252193; 39810213; 921497584; 479936708; 350615481; 913251663; 410360918; 236527262; 3273410; 491282665; 197093618; 836546833; 302059528; 838742905; 364568697; 870392842; 617864889; 837035589; 823070392; 552719864; 256552804; 436932076; 271321255; 223383624; 541002390; 211062393; 152323162; 648108415; 708332503; 655431100; 905851294; 899201527; 287905870; 706895298; 8010099; 210999447; 340591980; 788681467; 555735451; 682888758; 566068058; 753141323; 654378632; 118307181; 157531640; 187810340; 906919065; 344150301; 265294027; 615332938; 576197907; 528060274; 986777427; 684680667; 497086902; 786943757; 926426311; 818801297; 600414424; 46783191; 826197257; 36485369; 317621789; 544071040; 240034613; 121129800; 716588695; 472131014; 884536476; 165372877; 119828403; 118015176; 946758315; 992760610; 277991022; 534944059; 74280538; 678940507; 584964240; 855069419; 476523737; 174217435; 234806386; 433561952; 576387509; 960053037; 200046595; 315555736; 150028048; 816910592; 867762899; 768500478; 486329187; 946146638; 60169656; 151193975; 146435633; 592686894; 487609037; 154316845; 619204765; 583334615; 587674471; 137468870; 649742795; 260152717; 335098173; 43323971; 703307711; 4262961; 808817355; 980628188; 950645282; 67584687; 989908066; 669540264; 202607953; 849569311; 822091528; 754541026; 154445211; 371049246; 424909193; 8511421; 875016145; 846454022; 102848760; 705643615; 394891893; 374475832; 198720485; 768049468; 484338783; 416937591; 647462094; 558141410; 662742458; 927825694; 239627899; 386289290; 623074731; 840163120; 682959071; 538426258; 892233569; 939556303; 100691498; 785698047; 108157984; 630529622; 402898321; 508198859; 815808664; 380838889; 411168765; 130824049; 891583800; 762301127; 398971318; 222643438; 395187579; 123050023; 944474421; 695524406; 453959289; 763358690; 285551739; 728794601; 762006757; 797442229; 415750047; 336445417; 981860869; 763569132; 811966949; 299178363; 707384889; 511848885; 358798731; 770457958; 207892432; 698597689; 562570228; 629384962; 902770311; 494627955; 780031068; 333744202; 311503230; 784176620; 720845318; 403199100; 667755680; 88599589; 516132434; 101302989; 272124185; 529423178; 351144657; 236463660; 659551070; 322132096; 105240346; 936635430; 577705060; 591699763; 976150035; 734000082; 602451982; 868010952; 573615048; 761351654; 304042848; 539898935; 349540345; 271056900; 238737353; 394503006; 226594667; 358242776; 181421141; 445334993; 773131211; 301920154; 626772149; 923641463; 591082243; 779651228; 392358732; 244291968; 22066113; 317635297; 906211588; 457806316; 790412805; 456791221; 150377730; 35980422; 603121273; 917535343; 529567571; 431279691; 654945736; 774160043; 488889970; 857735083; 457932881; 270940642; 399238250; 258316495; 588732825; 390483122; 247077668; 125942765; 757789104; 511539742; 603032884; 420311492; 820762092; 581434594; 482607891; 534179499; 914476831; 754704353; 650184237; 327426516; 150746960; 225901977; 789550388; 873953303; 649404569; 483404972; 227496115; 772614930; 713557967; 22345002; 699974385; 877741546; 118634217; 347942257; 571671112; 809436319; 231662033; 971549852; 557401431; 32426230; 595046748; 286586657; 171485793; 204460740; 789079647; 676190045; 107094235; 649254718; 600148150; 374024915; 199420522; 98725757; 983652010; 540447672; 781838014; 194696644; 466897999; 556047888; 713791342; 291243555; 78409475; 653274845; 960613549; 374929162; 111209672; 540669270; 272415610; 295505150; 825868366; 441534497; 220988650; 548210359; 139709727; 225590494; 662018976; 18077117; 458050591; 540020878; 168847228; 795028187; 959070721; 29924543; 552233003; 702972941; 413344001; 546127372; 491361621; 673014068; 290416045; 645951585; 559888950; 408805156; 357148430; 186182321; 286600964; 303029461; 648126502; 15770432; 824353861; 504105342; 171313482; 393092450; 202141747; 62733809; 913255273; 768068841; 7223375; 69047771; 147730430; 145667731; 868773367; 263130725; 476230858; 192714203; 134670198; 705750319; 225606794; 763728292; 74200498; 661154162; 695061738; 815396115; 707415765; 541442274; 61720027; 85515471; 794854366; 234274997; 608390732; 279068739; 924462359; 807030823; 732558088; 709236999; 909600081; 789672143; 924005184; 106947426; 680107032; 352306653; 104814480; 356696088; 906707209; 947080414; 816133898; 615913584; 562918295; 407362190; 940331825; 824177808; 878252740; 309217436; 427517190; 506147383; 562093565; 390848307; 561431244; 793474723; 535203655; 523386307; 751957643; 674954383; 646454174; 815068363; 140399880; 209048542; 64741185; 902259347; 513006960; 895967480; 838340772; 72950412; 233307687; 19082098; 119972751; 111666656; 722117522; 214539098; 876989464; 982201945; 796722292; 75328712; 598165741; 167603416; 662666295; 142859666; 793048514; 691393683; 739010980; 105813984; 636238392; 132659186; 261418489; 787437244; 991485718; 37787212; 953941275; 765545037; 131563952; 583154641; 295203646; 886769611; 365924432; 760083224; 925724428; 618472533; 872622259; 344959941; 470268009; 772794657; 63695359; 958064019; 235358244; 24395152; 648596117; 786365491; 853217412; 577508448; 476505883; 213282295; 206709562; 387046887; 540456019; 280751971; 136187670; 917411286; 146898889; 100238509; 23566725; 182582276; 141975492; 363149584; 484802117; 355605404; 536657891; 422394911; 685619243; 782217027; 415979514; 399911791; 125966291; 968478048; 670832832; 53881125; 649226000; 695549367; 463444057; 859202110; 571112817; 337829989; 907721085; 158466530; 582287366; 417306949; 277010179; 241770028; 753044437; 26531710; 606182519; 898179708; 401743060; 546729919; 18741453; 556353181; 670615521; 303065718; 48851391; 793259118; 291276996; 389733542; 244807981; 664581388; 829876599; 22479523; 18680367; 179268379; 987949667; 195322851; 521022077; 50858558; 559094427; 325905444; 353315759; 741150396; 319934614; 511847079; 10934580; 904405024; 104595248; 285771287; 85725780; 937971357; 589056836; 102538932; 707284285; 489817280; 75429788; 346742114; 749697136; 199967610; 880349854; 759411723; 896540000; 467058438; 582863535; 945926993; 609297962; 830941171; 817497563; 231127614; 238691685; 308866404; 947827940; 721001207; 947193382; 104505798; 179573970; 809458132; 430189145; 236026437; 152042887; 372231389; 794146987; 508651490; 913715325; 609318769; 499637986; 198884809; 629130884; 637779756; 460909575; 234587020; 644994413; 335376957; 995035956; 953810799; 863592394; 863689945; 977798568; 814519468; 940979168; 360238477; 508334867; 13390434; 508586629; 543740352; 231362530; 825992271; 411544144; 806384225; 612023271; 779162588; 797607832; 65751085; 969781516; 59610828; 655139907; 337604242; 274376688; 774998849; 291462339; 497783766; 620721974; 959638332; 345075750; 498459288; 429085627; 882063156; 207582851; 169535911; 961021390; 81382898; 668606094; 690039278; 564264230; 463599585; 673515134; 355294910; 197759316; 798193274; 907635449; 255077638; 994172123; 892962125; 765605942; 68444434; 903541229; 467922366; 787722391; 476730095; 294385258; 374501198; 241818891; 4678379; 700728385; 63920313; 993890710; 608616696; 765202731; 620591396; 895401710; 371961404; 170358924; 585802360; 460648986; 628908951; 722736283; 78521892; 91878694; 365677902; 334930491; 908499049; 411515350; 368642022; 760261495; 801433106; 967641913; 302199450; 842378998; 516377313; 110947724; 486027524; 632247955; 84074992; 506338430; 392997720; 302430120; 699887251; 656777199; 857502523; 196100287; 254611843; 661657820; 379187726; 156554470; 773116798; 985788970; 982421412; 864395121; 142487525; 270958922; 716366925; 647242852; 533812907; 157831746; 120069248; 682898340; 421637217; 138228744; 716057727; 417099336; 857868839; 414531802; 939290145; 517323713; 137322910; 469776365; 800699041; 242138298; 881736301; 871740118; 293726353; 202391575; 859855125; 557584508; 524815440; 931406078; 835815911; 640135760; 858499564; 118165448; 461249745; 775769661; 960340494; 116747435; 598769028; 17593050; 238825925; 409714594; 651731446; 720761435; 427136927; 517795150; 851828181; 41586004; 443835906; 43539190; 882075653; 588305350; 900510609; 275727336; 84016644; 888556532; 897056576; 766297851; 847574641; 555917019; 110301545; 659882724; 39976293; 323605296; 434538725; 144102434; 506990377; 674851144; 369792761; 416468692; 309924813; 346067202; 678543542; 991708095; 4880461; 170880149; 650479424; 48925066; 270729866; 503526245; 657705595; 253482515; 298691209; 881108057; 204784173; 756249349; 89617940; 801177968; 777739540; 799208635; 289284005; 842991500; 678842802; 968006939; 853301148; 852504947; 887229972; 698190440; 693130679; 706764382; 267396245; 142895429; 206483700; 303864900; 216773225; 757864030; 868887329; 681158082; 435725884; 41922072; 280939852; 836548438; 67115418; 528173216; 645901363; 612500030; 30078978; 611206859; 812360380; 617911133; 319136166; 649564252; 260055159; 910875000; 802672823; 757744903; 196258810; 163954117; 830010254; 849516850; 472616274; 263982756; 128210931; 181608257; 297373858; 561894395; 48083242; 541073115; 957172672; 824385926; 196932457; 762730332; 438510115; 190937391; 954668190; 699473187; 16962679; 653336583; 489830012; 260824471; 731796959; 970905082; 388258413; 797834012; 964655733; 992488484; 147014956; 967036622; 134981747; 50603502; 594774265; 66219327; 723456176; 818991649; 519400849; 698408110; 697790313; 224274081; 96599985; 29867394; 897728617; 71712792; 306492511; 470388903; 75676302; 500124082; 819041783; 671247845; 763412280; 325025617; 131165109; 725737030; 464509343; 818516446; 286295658; 604992195; 46095997; 920375713; 849830005; 328730535; 742258922; 184508231; 985958485; 449343580; 160959225; 396781940; 976084524; 662607621; 855448787; 424554177; 952660654; 314353703; 414240211; 110163286; 469841550; 279244078; 226910344; 211546961; 202536666; 838881611; 266156438; 316252751; 236829485; 705886351; 93051321; 53890011; 869465381; 275839124; 824577738; 589583629; 42356413; 598732679; 579457922; 972098933; 616090548; 621758047; 928060065; 878158811; 220833600; 435050901; 678774104; 273619419; 182337109; 189204025; 509157117; 747864079; 842095868; 975218997; 241435456; 928452309; 947689012; 907735582; 720187015; 396860548; 939440231; 552810821; 518778975; 414848115; 737353945; 64929815; 58509229; 539747643; 977594570; 711380958; 864861635; 943622898; 557138674; 864243166; 223698344; 975719122; 602242482; 53772608; 199584009; 22388947; 784646891; 612291628; 322637417; 354505839; 352710790; 413615433; 7153838; 99781033; 708635610; 672347198; 734430887; 669589234; 479712324; 77707819; 528475178; 579972092; 861943078; 870301944; 882953158; 977338499; 231253302; 873220825; 445997189; 414084861; 824712174; 331065494; 927730953; 607707545; 743042310; 138938541; 731656189; 375705897; 137992094; 739253497; 378922581; 545412633; 856506705; 305683477; 168509290; 528062038; 339133264; 533068138; 122346592; 453095236; 758543649; 451361311; 660099519; 354559011; 930635143; 96757989; 180668576; 850480527; 405696983; 970767223; 839213346; 609754293; 50397047; 724068419; 908907857; 544031760; 609214669; 57856097; 114364609; 302383450; 638920020; 8851462; 909290543; 164049788; 832779231; 297199053; 564671390; 400725359; 123446938; 706441311; 977719466; 569517206; 483303453; 21530429; 104943945; 791268552; 109178525; 577687899; 640260229; 346364982; 994562742; 617075880; 374485426; 482599587; 870955651; 12515210; 992555253; 253486222; 540127219; 974303167; 523130594; 225303810; 979670384; 841152181; 949721832; 96125158; 113219080; 298042893; 47298842; 975531110; 275167750; 483620277; 460837271; 452825069; 970946168; 592938730; 567467983; 819131134; 313972354; 125412402; 501420645; 913007370; 939578505; 659851272; 828484132; 891974584; 115766166; 615467399; 38250425; 484688264; 238127809; 743507067; 439363741; 729676230; 137975; 809850551; 273715752; 932438242; 663757524; 995699631; 975832550; 770989012; 505383382; 559495973; 606137319; 41053329; 332805605; 548609665; 448143659; 60062481; 886530373; 614499661; 862625497; 716356011; 343096447; 59793366; 340221101; 880271367; 253499086; 811407273; 15929565; 357267023; 300315670; 434543574; 711555417; 154183608; 349524893; 788661419; 127109223; 450239207; 374469821; 297561392; 735180767; 943606275; 599833261; 73811277; 930477209; 342421648; 23249947; 464304221; 151034134; 982355319; 646788866; 966088286; 657697802; 572392365; 488463020; 508876502; 748415023; 654524878; 964525755; 256197837; 109989541; 955403294; 662179812; 385880124; 67946664; 809639283; 236115557; 243145549; 551835108; 466440433; 607323352; 855901775; 250746588; 602609794; 789114937; 154251351; 38553254; 313072763; 751307059; 734206374; 554037860; 299090136; 89682698; 359588717; 559252909; 979554890; 991295037; 229996806; 963883790; 626204669; 876073815; 97706658; 596992975; 857470575; 214674563; 115830047; 591350883; 128493032; 400894721; 845926338; 352185546; 218533766; 935855625; 966400076; 754345735; 598438558; 914263876; 577322492; 905423559; 495043989; 684045569; 554386577; 152358701; 886482104; 477624235; 163431801; 930107946; 511086167; 16423662; 925160254; 133984317; 908873611; 427118425; 215059201; 359648444; 932969373; 834737618; 973302847; 661683603; 43178810; 694772346; 526689590; 601376757; 731289381; 40658231; 777847917; 277795352; 555635893; 222351373; 690238888; 539957983; 820049970; 15193645; 785377403; 504432799; 563113701; 650360634; 343366662; 527755709; 601419994; 345850351; 757656219; 505588854; 960726911; 75666303; 790626917; 517454592; 495242413; 567375637; 718702459; 47390287; 612106489; 276258944; 476223334; 475687297; 159997012; 186689834; 52349310; 226998296; 514267176; 860404765; 293854319; 218812309; 33445329; 111295150; 461164734; 762485090; 109133076; 176553424; 484946207; 56617623; 96692897; 14756158; 64282391; 343173464; 297335857; 179217537; 496085843; 433257419; 594110398; 146486976; 161252030; 269303745; 239107017; 538060954; 328210101; 798060726; 458481296; 225500603; 449856650; 68373634; 410054598; 318534265; 933383247; 273398934; 395435400; 436942136; 597086418; 690602918; 84397063; 683306269; 529452245; 201388304; 127438681; 542108652; 212231292; 72785610; 216827967; 588076084; 354593269; 48848820; 721083403; 892466522; 120001854; 904105303; 417205138; 488489245; 592162008; 380840968; 962673516; 132646587; 818791712; 581633789; 334943913; 262534680; 348773522; 923408682; 821508308; 572052747; 94625948; 602978947; 451639763; 219945196; 425549853; 239703804; 587451226; 862543083; 655206363; 290023983; 173884946; 991384952; 147361692; 876773642; 14032771; 229886590; 305715678; 646756362; 478919109; 717543129; 815894250; 931954197; 300249755; 685161122; 416521540; 406322998; 37850623; 166982452; 39705475; 519710746; 208685057; 563743928; 243778537; 156069832; 899009479; 145071607; 367765236; 703578338; 807844244; 218180733; 487197040; 739553413; 17812660; 808147319; 631456228; 41971746; 385792127; 281438319; 287212164; 338851446; 504758999; 938945233; 399724503; 151786142; 219020322; 451813772; 636945813; 993010113; 436323940; 176802220; 45323516; 772843147; 931690402; 782260032; 883499658; 672768845; 417625519; 532274216; 55142270; 680916264; 656823882; 375904110; 588691699; 29765796; 160427298; 592785958; 760118665; 246179657; 706749056; 556092080; 338908195; 924573315; 102261207; 367059629; 702952111; 442958889; 216305694; 677454541; 116856852; 97189728; 887361109; 966032341; 724652139; 95083015; 815588269; 229089139; 824029928; 109583925; 513405153; 868911359; 368140829; 138125594; 952221954; 190901465; 746857147; 179865168; 589367049; 846903937; 886840809; 310895194; 957462718; 797594523; 322650655; 864650594; 382854188; 646893295; 744695202; 444503675; 687797829; 348637856; 73674092; 276834527; 760997230; 361098203; 728834241; 13877519; 939672036; 106249442; 994981286; 219947947; 90654931; 853408370; 934153577; 879027665; 710541847; 110754105; 106286891; 66455836; 856575621; 732539477; 672527315; 535023072; 226363860; 943925204; 734516626; 308244979; 77706482; 4175063; 600949023; 932642240; 429830815; 272847758; 76239423; 525174797; 595943381; 115923165; 775515204; 996739560; 171768983; 988590016; 420170432; 337666349; 683298911; 776948497; 101075550; 778367234; 788527721; 12466095; 425231330; 795637135; 53499920; 512901567; 599846080; 25652947; 170385704; 679889220; 534931385; 201319017; 857567192; 152006784; 184486576; 640592788; 244806662; 562587498; 987423774; 518649047; 162647315; 619401399; 361674428; 489471781; 943897025; 860224495; 346790548; 586598132; 628213884; 219202003; 402631907; 536293435; 230423649; 977348056; 569558102; 833788259; 107553973; 516237652; 684670733; 899853137; 52125085; 237864690; 250511049; 189878892; 42883715; 880943997; 466037336; 271548161; 413157702; 538147056; 798287741; 666262336; 195559694; 91349461; 340120954; 444163391; 334809394; 603090921; 389702701; 385137702; 370036613; 849282222; 184339877; 182785938; 334786632; 669388096; 777289130; 179125278; 231602480; 211417976; 696626468; 481307906; 633121538; 196154129; 475645526; 369880036; 223500570; 645811851; 465697064; 256562820; 687382010; 213349080; 440356368; 611731924; 303188518; 271802658; 43719109; 718091830; 918262287; 485514616; 667782547; 985511561; 46958857; 454636223; 529917303; 457241233; 803740427; 463301238; 748877939; 982766452; 568889008; 868745397; 47593417; 994049325; 25697632; 498217764; 965462128; 162520377; 34462886; 286567373; 907530170; 964324314; 25669721; 833166189; 173240889; 475167374; 150606074; 250204420; 245291084; 427868654; 994906022; 956589209; 165014840; 271122329; 820974806; 712102377; 801634434; 260845687; 804514998; 353080327; 531088631; 134002242; 964888197; 142850324; 494831630; 929449825; 85520024; 626539131; 703541230; 299047180; 116443630; 894274345; 418426762; 329280725; 824396019; 529698375; 506626426; 489592694; 464365693; 527161381; 842825364; 774954965; 315456147; 388237057; 549186875; 650144130; 479050823; 809262524; 639759583; 511142829; 844385668; 109299790; 396413397; 278595651; 414242047; 861345848; 210854031; 91549955; 263260642; 40699545; 414980228; 995272947; 807821112; 756830141; 798893664; 477720518; 22590465; 350606706; 312238323; 684776548; 891999876; 463169075; 338929220; 89238628; 680649959; 912525259; 639457236; 581358671; 34934119; 775984768; 126770755; 206889167; 813169029; 60214736; 409773251; 196067065; 96278509; 275308734; 340349619; 194613552; 971293337; 995810250; 338880975; 247763936; 987653679; 426756174; 122870979; 231373118; 996072727; 235927246; 674223981; 545851807; 950423807; 131154558; 131991753; 577893774; 678235296; 910375340; 506819034; 123142911; 845483728; 151148148; 652397541; 614162980; 247028282; 944425433; 484933562; 88854735; 292841978; 33001029; 21789509; 25878688; 710188776; 56324568; 154095860; 66748830; 372052917; 425421258; 625249866; 655729018; 582642620; 384172338; 713381381; 141587357; 977408258; 625306982; 972149374; 181679982; 655260716; 667642849; 704903845; 251286243; 194413984; 170869414; 671916447; 986511833; 405639261; 298448901; 391375633; 709412880; 882317650; 179145778; 113420542; 314586184; 640970787; 763092619; 204395261; 556246410; 522919443; 464553774; 427901011; 790024685; 715882525; 831115497; 463852932; 897274722; 177123203; 346526934; 264068232; 226777000; 309844436; 13867468; 607736895; 729225295; 424406524; 806361360; 855906873; 405534870; 314155114; 518447154; 996036884; 972311518; 824116382; 630835747; 362262571; 543659872; 179028938; 579170997; 336015235; 419070725; 503730703; 535746427; 699304043; 200628624; 927713478; 727817425; 547564489; 468145421; 4133464; 636265708; 439391674; 714428971; 182913298; 417981940; 878774525; 992062123; 827139039; 513029032; 535293648; 843850857; 532885882; 939014205; 858293446; 46479285; 400000526; 73140703; 26932494; 865609078; 307075340; 603423853; 122207213; 353026459; 12658734; 369026917; 203782707; 462476625; 481922339; 479619; 198244407; 205189706; 628181064; 180376190; 84372409; 368770760; 554142694; 542983709; 207110326; 589869267; 135412727; 504198280; 22079371; 150854793; 26579829; 983032256; 877466270; 929084991; 498551314; 710830070; 741037931; 7616842; 424196730; 707450777; 82824092; 792195659; 448005487; 834909916; 728326018; 598714654; 653764889; 64993161; 252152643; 380242721; 723425244; 548605430; 936246969; 883719482; 277269277; 805903179; 600819922; 762366049; 838345241; 85269274; 780852527; 584347352; 743219695; 625277902; 616839958; 111407861; 328597203; 392192684; 109298049; 125833704; 210569387; 561410819; 398888164; 634083082; 295709686; 867755764; 371309061; 17854404; 440159220; 701982665; 172593180; 823677615; 664642808; 587801367; 540634838; 336465454; 855761506; 437362804; 757925876; 853824597; 378356367; 259019047; 211701426; 123096159; 139676256; 17522212; 102612022; 648328699; 864218700; 642386094; 977709750; 981977755; 614998185; 680525736; 781476326; 360843516; 703788834; 841629128; 199058263; 8042962; 904221880; 668028402; 166565743; 34694694; 367884111; 5193822; 400120912; 622123518; 73386049; 648965074; 258758758; 471654376; 771438145; 182435344; 268852930; 351733834; 864038618; 941533821; 258385857; 130057268; 181141433; 980772740; 758851052; 797052695; 68038475; 681476722; 158100693; 864360180; 932965124; 264197156; 605885009; 14839607; 49330576; 87053757; 584568357; 105457064; 495122156; 657370344; 18314956; 311055917; 304268322; 760968931; 242591909; 673232358; 863534557; 172668770; 579831571; 908121049; 368913390; 636005736; 329405762; 280690146; 713479131; 771650235; 254913936; 210552087; 928445753; 374178868; 269403729; 70076725; 657990415; 793243576; 625108762; 45204702; 757730860; 277328822; 53989575; 625583075; 215456836; 196885320; 459044025; 336556594; 867853176; 188738354; 659495314; 890797224; 901803829; 713885653; 824968837; 145313905; 262007654; 875686844; 310927421; 432571451; 653898364; 944516994; 746523208; 40826290; 535344571; 825377623; 84538257; 486695317; 173534289; 179977543; 432105520; 152633613; 336685204; 279604749; 350456648; 737057640; 841913751; 100395845; 73929560; 197003312; 874117379; 960471730; 579855696; 318671658; 771855599; 72697019; 996231611; 197547798; 979740565; 572877398; 601864058; 572200364; 606943061; 28218527; 46030173; 907475291; 827990109; 6726068; 978363915; 676547297; 961238129; 908746528; 512766604; 894596885; 484558993; 384075327; 355381270; 99284579; 346546529; 139377338; 855284628; 167931921; 728592844; 470247228; 720658303; 656867092; 95428784; 199449355; 768739012; 777678793; 958436683; 251202328; 721733443; 669251354; 578633896; 936962973; 715154642; 805652515; 55782893; 370302316; 632206006; 242354655; 204476990; 835056945; 775602408; 163754038; 879169823; 703967833; 824072407; 214475008; 641860191; 268754809; 216087289; 718032366; 142332701; 632853481; 702446963; 891709951; 731998817; 422552101; 81378710; 764833875; 42893122; 556507053; 172960947; 381948299; 651870048; 228997248; 94655805; 141953309; 526752259; 966780751; 54382969; 441818321; 708726472; 434822243; 196849113; 457855871; 716677932; 189649829; 785616454; 271650559; 608968629; 534823594; 277631945; 348892618; 368982089; 81278327; 578171494; 171163307; 605858308; 7658123; 252035000; 338412282; 352958728; 592577704; 543881897; 475567987; 951988853; 823947663; 605589186; 696664882; 733536734; 575029327; 144361527; 145962741; 948706629; 83278360; 998071795; 388423775; 268551908; 261269646; 456304881; 518717759; 511797652; 508760463; 270695064; 461753344; 939374715; 802428202; 329151151; 896919535; 497655896; 99197650; 390701739; 719739813; 941724868; 162937455; 627212545; 200955675; 467669991; 762222960; 20092694; 367033599; 852235456; 568585291; 672081508; 790601977; 538659500; 4910189; 304964195; 449232854; 692438695; 356535554; 400062149; 679154931; 101610113; 50419812; 989983486; 890225574; 448983223; 446086620; 140984043; 798152241; 223002946; 466758863; 571436833; 414195847; 756466135; 26271420; 31858256; 623823185; 535167443; 634117383; 858872597; 829534080; 609991327; 988180541; 694982124; 826890053; 438208015; 309668820; 573049916; 629584600; 127538866; 279336908; 406198592; 923366307; 907266738; 413203799; 634201689; 764939975; 770806209; 97311300; 139892086; 172488527; 827192064; 910239084; 496093112; 441201993; 497735624; 981966175; 370546844; 405062807; 349178179; 127040073; 693626548; 112380224; 571666418; 125497826; 916204312; 456032504; 7761186; 79519658; 642133932; 742781731; 415796825; 320269282; 505257783; 221395408; 553419679; 485970390; 499072715; 992206979; 116157302; 777525034; 161863411; 719984750; 896431964; 276648333; 930065072; 851036374; 944638175; 742438202; 332957063; 764847456; 213035382; 880749427; 224052088; 336367312; 725285002; 267142809; 108466341; 76046913; 884170691; 746085260; 251650795; 14678928; 231276287; 891621747; 564977203; 135436711; 842736871; 432553014; 127532906; 824822432; 294929893; 585498793; 301225972; 232147337; 873620669; 512151905; 251253832; 707766032; 784214477; 896418975; 941254593; 295805925; 18172893; 973721530; 247894268; 247581952; 94701548; 854148113; 95695244; 626042576; 621246352; 157336174; 205077955; 997585113; 350854897; 770935971; 619821000; 24196814; 407524014; 39099211; 439654442; 99665796; 376315825; 892998546; 606717552; 911685320; 313114622; 950381865; 746476861; 310808069; 981757307; 289368292; 124918720; 293515050; 379873180; 979865553; 198406277; 447224294; 986994929; 144244665; 831577981; 881605803; 812557879; 776702926; 336577920; 429324137; 519450189; 579590286; 577603943; 544339022; 410770934; 850270313; 175562519; 571394754; 121079984; 798163701; 375661735; 392955211; 289993703; 479720925; 730262546; 924086800; 151928756; 507624958; 625751897; 687729792; 289223515; 182044357; 115027825; 37371627; 671070782; 410012270; 413967926; 811183598; 256740992; 584507147; 682153269; 657065316; 587983135; 264805251; 894579924; 790612711; 251839421; 425532724; 908418620; 449954661; 245405846; 739928171; 479727355; 535125764; 605338935; 336500950; 74744004; 413905083; 478683636; 408636008; 485734405; 753096786; 156689850; 813343000; 640402878; 3535181; 787472952; 699818323; 765162949; 531747374; 540854872; 994123221; 411780778; 840237126; 242259109; 178711743; 572635599; 233754785; 151435636; 397352333; 478079435; 450452143; 704263824; 99386287; 9298028; 363657268; 746957255; 919091990; 235076884; 746770991; 106936348; 534380820; 837021316; 473570052; 591611174; 697377279; 239343647; 934476997; 559690249; 526806015; 855171805; 386238491; 195571360; 626362064; 683966693; 96304749; 321359528; 456730236; 755197914; 491055641; 676726606; 833071212; 53024307; 771392003; 240101495; 824260265; 788118047; 45317600; 888138347; 265989754; 768381614; 686487678; 880643651; 276579806; 728865620; 829573025; 452354428; 532913863; 589796442; 576223610; 894287703; 382021422; 268135238; 695681677; 487256214; 633111640; 210520699; 617939043; 121765745; 653112440; 403317800; 437029127; 147363346; 32609452; 805976762; 368133348; 675341664; 770254911; 986885018; 483825078; 558510489; 489662433; 576459432; 862083822; 460186208; 574862669; 584440296; 555660488; 218239757; 978902721; 416018519; 981019233; 354329165; 582792143; 261693965; 769805587; 632579098; 738986184; 370291507; 782253323; 980763129; 18533537; 983755178; 500526387; 797147422; 81631120; 622313918; 803295232; 451237892; 964971536; 526287144; 757584009; 765707906; 928395101; 928223383; 841059232; 121000150; 592851393; 845546070; 906830568; 16705267; 540546212; 982757919; 50973281; 246538160; 807601820; 580923135; 612214016; 454998415; 264485217; 359761171; 856294564; 734379740; 978143555; 599667248; 639015199; 340910893; 229865339; 427580556; 252651300; 655112807; 514852923; 142057283; 350552396; 276886127; 71063149; 565746213; 312419984; 136765522; 340376232; 114149069; 600547594; 445364207; 562235387; 581117370; 72279753; 378031850; 865804464; 340832190; 263423759; 704484490; 727839027; 189872265; 154727068; 767449037; 554258323; 229615350; 121830625; 591655559; 55827857; 446339301; 361638968; 201840486; 430271214; 151381882; 301866342; 804265686; 842593820; 213272929; 274177725; 892342313; 973921652; 95492985; 43746362; 728006905; 219015440; 227286134; 612826689; 656151473; 635984146; 864874211; 828308681; 195052258; 461018227; 492300035; 664588194; 902152648; 282711396; 379896977; 966453954; 575991070; 655214723; 100903574; 583389662; 88078801; 722253646; 476611436; 413507733; 952452614; 360416936; 305529697; 315712376; 399621278; 941955210; 363063775; 363390103; 817616595; 674113191; 985917391; 503521206; 29315461; 946415278; 584831861; 693242548; 982837617; 300538316; 201478377; 705038472; 777909086; 79184164; 767255931; 51913775; 558409763; 895494228; 13846218; 490954785; 241520683; 997148516; 841597144; 612613929; 351146621; 2113828; 335681201; 881045117; 573332255; 118276468; 677348934; 853283362; 544276066; 964807467; 678716356; 309444766; 834055080; 565989280; 379011552; 96619258; 856143607; 730392256; 387102201; 269618656; 572843020; 356263168; 239991725; 149150716; 756207502; 230864260; 582947557; 71702718; 738183866; 124131287; 719531331; 611848744; 662118805; 990829274; 917563586; 723065527; 241282159; 750383785; 244492157; 870728585; 519666209; 789039616; 597245339; 761701; 882838381; 749343000; 292844684; 396240977; 298575076; 273148390; 326938701; 682193720; 895846362; 844140837; 900079749; 924515657; 72577193; 342126201; 238450563; 288932750; 493612165; 684428621; 838967318; 777643414; 200242642; 202199385; 922200067; 775868420; 918740118; 286681112; 667747834; 437362908; 158809633; 318356843; 972332997; 659639947; 849187188; 9853468; 239144260; 29235218; 657281722; 256411554; 369308329; 457750881; 386384884; 713251972; 142214747; 179394754; 832431112; 479092275; 359627024; 498349067; 374443364; 306573058; 854199547; 885416869; 79570428; 735582879; 115600024; 632304816; 552462408; 374941812; 203533966; 768811530; 143218768; 486571515; 544752193; 683739561; 600373448; 586781894; 639589462; 432985275; 749578316; 709262918; 28996285; 552881648; 385916384; 882020959; 846861920; 958476042; 512665730; 997043273; 511288398; 432773377; 625365372; 671569741; 323440456; 382424785; 478417642; 432372440; 263120268; 92874068; 604233178; 276920602; 414863446; 558186636; 863317768; 569141703; 130051356; 553383751; 796668200; 87568554; 429638625; 254074032; 652796773; 4529389; 643978891; 36253820; 778820791; 905877978; 775937462; 489001381; 722140675; 937978843; 265737250; 335856338; 248161169; 28509057; 40030492; 597770835; 828167433; 934115102; 178341441; 610009790; 230999177; 723449242; 518813938; 170927597; 53979119; 492441006; 139995225; 932089640; 784480563; 932201868; 948670754; 930977515; 298588856; 981552231; 212421858; 232941731; 547764671; 688886622; 324855664; 772870138; 230590245; 912964601; 843717703; 875459796; 370079545; 193743447; 824708359; 368678518; 795927626; 259316174; 699299888; 732892408; 416933826; 718452142; 394944293; 230880106; 199810763; 773752036; 316316729; 267554020; 447727561; 469940587; 30071011; 752277509; 746587134; 402210033; 812375918; 590966952; 357431593; 669425987; 30603888; 494454789; 811404176; 526969192; 231344651; 8293417; 288755051; 485708142; 837909647; 134143943; 330432340; 877662376; 536578660; 716308157; 359504197; 645472644; 151109351; 297022231; 930673008; 465823437; 84902109; 886106653; 966374790; 858633247; 80297291; 396610961; 590718178; 48276233; 590139152; 77926215; 886959084; 257198597; 489921147; 843229570; 397933895; 535482356; 350857993; 402280224; 179767896; 310255426; 886760008; 867362962; 382972413; 708948534; 129527805; 751994024; 461940510; 607167165; 326349927; 695510689; 726228091; 231945985; 467185332; 637980536; 883925953; 908876669; 625830894; 526541373; 42253277; 553348855; 394576715; 488355560; 852995700; 798077461; 496452164; 184405549; 27631213; 833260060; 323367436; 613388453; 430145768; 831275335; 100528257; 669829537; 829381147; 26036492; 433656331; 244664221; 105731409; 159494024; 439293440; 691177001; 927886881; 558880688; 768949098; 720733226; 875077986; 115826347; 744024849; 24253618; 606111634; 830513436; 69478854; 357947434; 725832651; 490196295; 851122228; 498633594; 8064961; 711186675; 669108715; 200416743; 177395529; 792035220; 838908846; 529870220; 637696496; 787788548; 205180344; 720474998; 687110157; 15909865; 954191507; 379893107; 338164460; 437675712; 235690857; 454361593; 649258283; 785160398; 903721213; 24506485; 635747426; 48789177; 358083769; 620892721; 959403089; 37666789; 298611461; 522759234; 543209880; 138029511; 858907323; 353558179; 618549566; 126858341; 996009399; 351332761; 458187136; 927843521; 437818257; 632928001; 749915521; 924560962; 834679355; 606480031; 640830287; 525966148; 452722646; 834655482; 464428461; 751165466; 527257244; 384827448; 129596971; 772990696; 222837597; 927785858; 761027641; 57584477; 732831219; 752349686; 847660775; 535995742; 901607571; 103013784; 197789131; 198027455; 392418982; 398199114; 293629309; 86104703; 178500342; 607566749; 899123660; 346072892; 343773781; 904389346; 106856930; 711982752; 573042531; 211660564; 214152083; 757893636; 26644069; 345149901; 64099700; 583419772; 938871244; 885471394; 210805774; 252794491; 972052642; 196047784; 199349164; 391785697; 938272653; 163092495; 261593225; 81258106; 414632129; 790811962; 839934427; 69947310; 12593935; 329217006; 26225524; 929123565; 121863496; 747754577; 840290803; 796375643; 296153578; 72482784; 465889261; 352600643; 630942925; 163668371; 207513289; 240386659; 259948558; 138350602; 93300586; 690834593; 546214070; 43159143; 929762280; 778075546; 423764416; 928661929; 846047748; 710249953; 573502245; 203554904; 943042256; 337467417; 585996627; 453806983; 843282735; 401859555; 599552627; 966107919; 62382518; 715434079; 648639233; 977635795; 807743770; 96854359; 975520210; 118561201; 855887780; 228659867; 845172092; 378694948; 756034278; 366177518; 724243129; 484336806; 520536274; 380088158; 597371844; 563270615; 750338252; 785329953; 253354614; 907771131; 893459253; 804530142; 882194288; 359070463; 338234278; 107961042; 519838258; 183852379; 65156270; 416331369; 856328686; 273859488; 98892591; 296784789; 788570652; 342778687; 542675977; 580672885; 275322258; 187877474; 448630918; 82458126; 987029974; 822844787; 156004415; 171344911; 219184907; 615850785; 155618397; 863663881; 539342044; 221257849; 321638357; 133842966; 889252620; 716463185; 620227463; 864180442; 768818664; 112961522; 880859051; 607541536; 748216033; 917348826; 100449066; 534012763; 41131063; 387426391; 41131549; 457325764; 296397796; 691943940; 384268490; 880064598; 255900122; 281144472; 762759814; 607679373; 348798876; 582684885; 726010886; 755187214; 109675553; 196106436; 136427051; 444091038; 238723644; 734790106; 836955134; 632712404; 928520278; 804166017; 53732783; 643801288; 668717396; 713947865; 42926925; 27284041; 433527222; 559409653; 319222639; 507978331; 96997509; 383628607; 485114135; 179645336; 217628509; 153979979; 684661420; 358110671; 88969439; 945436681; 620994494; 713695100; 367996619; 617985051; 485671926; 411311734; 263662072; 309402046; 365571681; 518825031; 725025794; 106274994; 257243039; 339073066; 856880752; 241099788; 77647896; 284891500; 70426411; 423992114; 693698071; 97237482; 540030537; 986784637; 305682110; 401356189; 577247208; 749325541; 838990545; 554174551; 174090104; 329051919; 553404479; 511247142; 175428601; 813198975; 724778302; 255629980; 408677893; 599555191; 265674183; 428219256; 361954225; 39583609; 345209898; 323956872; 286053476; 482343428; 580113904; 870245049; 792769699; 760248826; 488537239; 849814242; 173373971; 261223058; 387894663; 689267879; 3396297; 525922710; 934089958; 84255851; 415513480; 99927995; 271660144; 215888196; 74074580; 403671020; 146791905; 23383816; 709346609; 750926671; 752349985; 864713893; 698465048; 891345893; 570738870; 701322581; 432049711; 453129299; 526230029; 52916332; 145495373; 835339448; 294236847; 364975605; 933306148; 875658776; 122801809; 155651500; 61118143; 957744542; 936305349; 112135580; 80563010; 167340139; 194845717; 71809109; 943409895; 606140720; 562806049; 74640241; 988195753; 634718868; 424117256; 2347901; 588631659; 363504482; 552696463; 474042911; 788154299; 162864101; 164047742; 266892662; 742015651; 102924081; 235324453; 507077598; 238115929; 878317149; 829777437; 197706637; 629141982; 563645090; 573814216; 630532458; 579242232; 597286121; 679919573; 395694932; 11397510; 822212276; 133514141; 303980944; 371882828; 247275763; 395068995; 359645849; 864823228; 514426458; 851010121; 389795733; 109633470; 775716368; 768735834; 652195701; 37488111; 328516579; 653173753; 25941478; 140649306; 649443206; 424955046; 753432972; 63193556; 913402064; 924587434; 986727538; 213696106; 999443457; 825106759; 869832372; 782495847; 284477591; 552880683; 666288077; 812093552; 820130978; 977162096; 392270060; 435941714; 812082044; 620262747; 680040496; 706046172; 819096205; 890037557; 872879652; 584827786; 498992363; 403866714; 75094288; 787208234; 276038463; 336438088; 366937752; 686196365; 287398310; 87590654; 215764361; 273805552; 140045439; 819137444; 300623786; 714817780; 73474220; 913830231; 873451617; 683894181; 707168056; 418994292; 945012416; 398811908; 92776778; 547431996; 816770512; 740297546; 281545844; 228360459; 480245523; 867622341; 116918754; 545976060; 506342895; 136307285; 217816559; 583819045; 328116516; 534254772; 605831121; 984788393; 649529062; 671306911; 164108016; 586017063; 215764167; 589548507; 261052570; 688887947; 9818077; 750244626; 850913858; 354137735; 988052783; 18722694; 901970747; 570265941; 24565998; 575376838; 120226663; 693236349; 504024854; 187002771; 688662615; 319639972; 496033462; 794790116; 534764117; 224629244; 776648010; 448653974; 541323117; 30517724; 376634134; 784732472; 649877103; 942500074; 296523965; 668861307; 721931306; 536326567; 569708049; 1566966; 319101118; 504067937; 699096980; 850510000; 299585846; 837954805; 768190302; 843841566; 443953946; 98121215; 4908962; 112872374; 684113028; 101831955; 344062399; 861331562; 863256995; 780593114; 764978981; 417720048; 384988742; 260270190; 729886894; 334729786; 134608672; 144146049; 403783027; 251203262; 746703317; 613211162; 271614460; 433097652; 586255066; 602399977; 40295187; 765826993; 362691995; 197502442; 870453789; 62362106; 855081159; 844436002; 435730044; 312403215; 223427065; 49873143; 896904327; 2342153; 521806040; 943880807; 847779253; 370566870; 31938760; 323204774; 952357305; 474187391; 989706548; 407479590; 59005963; 904685512; 779517599; 856379682; 406453270; 512366196; 274732853; 999149410; 637470284; 579598700; 470571016; 21758437; 928369826; 460786326; 495594648; 126857862; 635719301; 325601236; 820009842; 153357873; 746610568; 307349224; 392468222; 703012968; 222813311; 709073629; 668132804; 277196569; 636009502; 553780343; 721510160; 174663883; 41853991; 264705115; 695666580; 507298996; 236247944; 632302062; 449429224; 526292323; 363761000; 386884378; 982318253; 835017606; 608095545; 904901300; 200743132; 701600001; 389944478; 339761422; 946264079; 15356580; 831210727; 592914280; 644013205; 187268727; 858299727; 828985921; 1372943; 310211569; 341850149; 639052181; 895901079; 999123407; 209874292; 626137427; 529888343; 492441905; 878974555; 353183936; 904475733; 802271544; 839064190; 763541577; 987268828; 350895703; 545931256; 243793436; 402536458; 416376065; 370175733; 882646692; 563808192; 169621561; 424355774; 208960658; 761043268; 636782377; 281968537; 871268845; 149499454; 510708406; 835673382; 896410393; 899023027; 155135281; 950289484; 652653874; 476055598; 164062438; 74425368; 379974883; 530452831; 517636586; 940347489; 559699047; 310063153; 958660236; 714812053; 675987472; 399191827; 804130950; 400229209; 10220646; 326508746; 770419741; 75329810; 539180346; 712369291; 5663874; 856258011; 316568476; 605288650; 986154435; 642718347; 603696769; 737431647; 938189478; 153477720; 72650991; 58961813; 355546877; 195758483; 515639216; 912696512; 765823299; 775316716; 433820389; 550026806; 720489347; 994769848; 660364685; 522759006; 5395350; 792560882; 223072425; 906535256; 628657753; 900816908; 206992543; 339900342; 782671071; 136416944; 202909920; 986606497; 503539440; 925292794; 952065065; 17410347; 647828592; 353115253; 740403719; 296756580; 123405859; 11985581; 905074295; 232199059; 323910773; 713010752; 415405310; 647483927; 808341987; 816876421; 47996940; 556114397; 600872578; 429800149; 147992232; 969853116; 31181429; 659446935; 278026256; 914043974; 822737684; 491685049; 832656042; 479348855; 215601276; 439410574; 359030064; 864027025; 439188979; 541458695; 142719501; 584684884; 826623249; 419766591; 186805577; 961025725; 129716907; 445344886; 232184892; 329191603; 94231161; 156844334; 700940076; 308454700; 557771707; 60331659; 961503083; 699645548; 460535046; 785568491; 464806674; 904396830; 493436186; 186814067; 302015248; 59511333; 770068384; 965578614; 169109416; 207112189; 361964701; 22985890; 778182105; 656447422; 585142139; 970288682; 507476774; 495338254; 321073107; 125451049; 884569493; 502101160; 768903283; 837524695; 578426669; 261893209; 185432458; 154682311; 345671068; 93759586; 2087734; 943389717; 360824346; 3756632; 298170633; 428148185; 680407721; 814171095; 568399900; 462556909; 579943388; 289369542; 414022249; 123243805; 902685896; 722359004; 121430; 748761491; 385789976; 10209741; 890773032; 99020772; 788506484; 29768911; 372370195; 573118353; 71349775; 57559716; 135387307; 968528251; 875735342; 732054059; 828465058; 997006187; 559840258; 740194092; 509125705; 668974094; 741254146; 754120893; 52546360; 208858186; 773274610; 792685640; 778475828; 350830055; 288491264; 553022410; 857223777; 579666927; 932474985; 401159647; 846319379; 225932562; 319425366; 15378021; 15542200; 222569523; 217897611; 942050136; 472802045; 805557994; 502138031; 780267022; 707434009; 36588592; 610858310; 960359910; 961597620; 236337302; 350532792; 9479909; 659072616; 558608329; 610256223; 272084305; 476200070; 950105698; 995318981; 746880676; 458574429; 918395518; 231991487; 576277395; 515731897; 634179366; 10082505; 875563409; 864355021; 62156857; 872336917; 273993146; 10745216; 609172670; 967905110; 523936040; 92961766; 263961488; 455834944; 794033406; 677448165; 560476864; 689750926; 417025257; 924725894; 231241896; 504426207; 422710107; 16396416; 932706884; 812702000; 806404015; 951825931; 701466177; 701066624; 120142545; 851167461; 69932288; 434507277; 46451684; 925211081; 579420560; 234873694; 480716265; 959647894; 396014448; 998573121; 194458321; 908322783; 494890180; 359701303; 271039195; 119422054; 271297939; 846128755; 383523997; 380778256; 972080419; 150069145; 389424885; 627810778; 420464325; 665615768; 460336056; 626652508; 737667039; 448282346; 562709106; 31492570; 483483590; 189550460; 165183778; 343767875; 567919591; 112306373; 790069562; 518116586; 514850351; 245880502; 312488441; 884193058; 133932880; 332135446; 372387772; 162168865; 969692717; 233922695; 63071794; 628533781; 672416228; 580198259; 483386985; 517536892; 330587148; 131683088; 702105790; 503558956; 840033705; 864989288; 541113786; 426211952; 8458208; 42884423; 77502239; 106822208; 813380287; 445828010; 589881010; 345608675; 188448958; 960711908; 632534373; 511628734; 693037183; 62539512; 23446774; 17854434; 796943653; 511973624; 1660243; 347241489; 266314353; 717768371; 614484938; 850261922; 27357113; 29029923; 570166216; 225131066; 703886138; 929840747; 122257127; 18209399; 143727134; 326820926; 692639481; 135938737; 991443419; 90906615; 844171608; 580544868; 743773058; 242940773; 122147367; 509035863; 816118670; 649188265; 460280776; 415811256; 188273632; 64199211; 833736244; 37513865; 616653811; 985081368; 892839815; 108321157; 201486455; 669137292; 671180886; 701496573; 539368506; 295619818; 454077668; 119017120; 81179241; 336039191; 811489071; 386180248; 364633360; 492683576; 810109618; 854490845; 850585611; 561688654; 741400592; 933001164; 350836133; 551515276; 477410853; 309534319; 282432534; 647950272; 237788439; 635359669; 284618688; 132922920; 313113265; 463529770; 352768742; 992780315; 9174440; 46625884; 325177683; 206088815; 104079020; 957318072; 215634933; 870526397; 615591366; 886461425; 469285530; 228717852; 945467210; 412478884; 457170464; 874931156; 738365034; 258764616; 350180264; 960651502; 625974248; 480231615; 89003849; 55408119; 374487090; 1960728; 964199304; 668779031; 312663138; 321455760; 708037356; 670710645; 946219497; 169077229; 923243718; 959648870; 660292897; 431209152; 466527259; 301036491; 514621476; 990185820; 254190832; 33518017; 501482036; 274412437; 21311095; 277249510; 169769927; 569909625; 370473533; 920949017; 624474338; 867031091; 924073158; 970669853; 512375537; 804813824; 899950831; 469158459; 921412879; 123969024; 839160895; 299996467; 661993522; 994337389; 568958425; 316497412; 549100635; 938132567; 398107189; 106494703; 123453903; 753255416; 32383529; 71053937; 830483691; 752035653; 1936945; 499464628; 904791512; 323374430; 813507358; 7726640; 507498108; 215948565; 43282894; 581396375; 374363815; 833994669; 742223240; 208176321; 770820597; 356036635; 933182413; 625821654; 333061118; 75386225; 718772920; 86520334; 545972220; 605834149; 685436991; 835009645; 345413347; 417629925; 486755298; 423548985; 945904657; 273880921; 762967379; 374162100; 418323179; 395379971; 908086425; 293524081; 173018994; 908234135; 493429651; 147073841; 609638513; 302209453; 922057062; 359456043; 879922463; 79035287; 149373233; 891742621; 537543771; 11092256; 503523287; 685089262; 474555764; 215228684; 541902057; 442016444; 4019283; 158700661; 923528206; 558994633; 424354725; 737664763; 293375026; 465801472; 3318609; 22412915; 115750586; 987697007; 391772360; 883236460; 709075523; 547128862; 139546388; 326059763; 798967910; 583960558; 260416370; 304380166; 40209142; 868612310; 679884906; 632137294; 999006732; 219910078; 416704959; 577878292; 310105899; 562780104; 293093956; 555485800; 320353362; 88359680; 383148655; 930582706; 582713554; 561042800; 119760680; 147032946; 697703766; 924301452; 889944832; 875288538; 748462973; 817430984; 346786393; 82633572; 687820032; 470648186; 574470218; 996205877; 377896267; 76864730; 454248568; 835513032; 794710329; 603923878; 581744523; 729587908; 899205155; 838214886; 66129912; 526015524; 139415075; 939761951; 745021137; 6552936; 232239071; 487923490; 282582754; 140887890; 744828461; 636406289; 39452632; 32585266; 350601966; 898598725; 644432587; 711275470; 401193589; 587040222; 147724482; 899149277; 217649986; 7881790; 561374951; 921219042; 788329782; 262995523; 668264422; 884804435; 411357735; 842459171; 74734481; 143702830; 944626164; 584006151; 723274350; 845856314; 212493627; 396753522; 779609006; 610027570; 474061641; 288812381; 116219676; 950717842; 614825205; 576347056; 508085928; 791855348; 377696391; 27988049; 954727748; 851581484; 656590760; 615312965; 612612931; 607052525; 362550457; 667061303; 855044802; 363712574; 964748589; 776410804; 619843163; 661967159; 45868539; 513827848; 89610023; 463433732; 854749878; 425975124; 288142771; 398052019; 532426391; 611975516; 21705804; 655471979; 465805330; 52126396; 735533395; 948633596; 965138982; 94716937; 490230855; 638341912; 464137950; 79594343; 153641834; 129919091; 505092817; 108095829; 768491705; 882068120; 314141661; 589604649; 919395718; 974015679; 998293613; 108767746; 45958469; 17015055; 89255688; 702416247; 844854338; 515807416; 954811889; 867612873; 443170227; 696670935; 107287508; 256502092; 214362168; 458743609; 900791395; 687518594; 482092050; 961462722; 920747184; 589402920; 459968631; 634415911; 426965808; 44346994; 365608533; 873665995; 528599665; 915805595; 522968925; 174367691; 582573072; 391209460; 339580723; 697485317; 791387213; 40604497; 980411052; 871918875; 39697104; 880723177; 727589003; 997090745; 47724679; 486481655; 316510105; 736022871; 447640199; 229766441; 522976336; 161072455; 573205780; 270560906; 189815650; 369931695; 142246802; 558293791; 831702206; 947116247; 349675379; 891200963; 814668224; 869123986; 469841455; 894306024; 543517499; 244277026; 892705971; 84874982; 32168210; 508838558; 75923562; 790903426; 294456825; 45530817; 773332621; 81099327; 938988242; 529282332; 714835223; 347483435; 64452069; 934924650; 861360937; 264474420; 235091635; 473870955; 189303961; 305618105; 475995560; 752714221; 678157459; 62428451; 958007217; 324656477; 854152119; 327678229; 626472724; 466456034; 446212762; 207345475; 784261101; 91628654; 777539356; 5908986; 590266889; 708333041; 596762356; 893388921; 412807023; 430674113; 766606145; 72960166; 715832622; 131360945; 394073901; 762307877; 924081548; 12192880; 753486333; 128716190; 839223028; 201002265; 683166992; 420240289; 397542073; 664411492; 733765908; 232353993; 958386008; 870002439; 296895476; 691351168; 961619833; 854560590; 777758272; 526631646; 481810008; 769128351; 903883856; 743663387; 118717893; 979494369; 491606873; 194080085; 900703562; 981684348; 831786058; 224483471; 648603684; 899182506; 904256255; 132139831; 370912774; 208337422; 598966416; 961486465; 728652034; 884283185; 32193326; 86465783; 396099661; 387096559; 567232172; 48561037; 552519901; 870910130; 736973556; 693088726; 780585526; 92447474; 234126125; 642280503; 632997328; 424217859; 186746443; 658938044; 110704560; 39604829; 452838366; 273087717; 288618540; 260647455; 577226034; 120338516; 311424339; 814783006; 370516400; 692382426; 780415300; 286074983; 864718134; 756981992; 178018439; 390495024; 302192140; 429391105; 880437085; 233239042; 675171045; 456855548; 702009774; 321718293; 205347987; 407074151; 821908861; 619874843; 402401308; 13596934; 905996484; 275634244; 706257532; 867550399; 232616329; 334919801; 513872488; 236232438; 705058435; 407812824; 184968182; 648528692; 672974917; 822083975; 462670069; 119346145; 501550199; 512009335; 236102315; 869529336; 198610960; 534594135; 607296974; 989781088; 962044943; 692821728; 403948549; 644578728; 343740146; 587002124; 308903028; 984023112; 837443123; 470391871; 772610545; 126522670; 686277750; 250267334; 618201702; 451126038; 880011797; 947088248; 261036184; 484551532; 321113294; 189466420; 256746588; 946760889; 845759000; 79541145; 797949892; 829685687; 27871240; 910024992; 186075914; 959397314; 132761847; 578724021; 232875247; 474833064; 65958179; 301205556; 466237286; 162842224; 673848515; 920364999; 267343835; 78245226; 137577656; 984680998; 87860886; 794688742; 696533307; 83028599; 472844167; 812894716; 760457114; 558044161; 70696653; 67938471; 164216664; 52731757; 69655294; 526876510; 45121267; 167886388; 960711502; 148186371; 373272605; 443690307; 78029979; 255511044; 440907506; 473811877; 61350531; 284357057; 688946012; 97462154; 324745797; 754948357; 970647251; 223579094; 579364243; 647346161; 510740952; 970257450; 409825670; 934767069; 778221004; 617132070; 381328017; 102017509; 634298269; 80247832; 977354757; 245373831; 736097326; 836156089; 643783558; 984965546; 406417065; 115304155; 209268929; 398865683; 521731308; 489666427; 325015189; 723057274; 813590763; 93900132; 882904650; 768604618; 297716884; 268161410; 470152329; 770061657; 28454420; 927119836; 308077135; 287625417; 364351011; 422883215; 417042843; 554299493; 855164678; 103061724; 876560452; 836960026; 230013227; 723329863; 836832832; 317236576; 181855355; 532169448; 168018599; 194626148; 785032330; 491368709; 31086564; 585801173; 955845904; 877862538; 323824068; 485220785; 109002597; 120144860; 136036714; 783940990; 196379089; 981895364; 891620800; 307576176; 468260365; 172709910; 965030130; 187661845; 540743103; 270104205; 476261786; 427407206; 43099955; 385519187; 579355310; 931703169; 452334862; 292890241; 828910589; 109061134; 595523061; 790786166; 359888074; 693712366; 137877462; 302533005; 806711258; 474337016; 196121186; 22596802; 685616802; 624416393; 789189998; 927958211; 33424249; 958090756; 229527197; 549636481; 28722855; 236040527; 629233696; 611746656; 901808916; 254232292; 337962914; 461669513; 417067485; 629554184; 304984283; 338249709; 658076372; 979113545; 932999739; 587728607; 867664171; 630193875; 383384507; 744242553; 571118451; 657267577; 15480770; 921448383; 532178110; 531498418; 709102513; 478079892; 712905102; 967107567; 887048171; 342108648; 669371768; 417858336; 709733922; 404002423; 990542159; 654989328; 617929516; 553066013; 193558655; 458947544; 904839348; 302226479; 648606920; 979390301; 586936597; 49054229; 218535926; 811736080; 192002852; 102087691; 774093919; 622383934; 573980173; 269746643; 29991811; 252665563; 706415447; 293388706; 480286700; 671167998; 630478240; 975520894; 287295947; 446318360; 359470573; 569640314; 322522167; 622265103; 739319095; 745701199; 102510055; 887475444; 653525088; 715651175; 440186634; 750603908; 762237398; 987799332; 358669001; 857541490; 753847489; 642775326; 778227475; 357191066; 2407189; 902878687; 57199604; 689043255; 955535146; 108574322; 409681345; 627465531; 869235679; 421335134; 155633150; 813770746; 185159007; 359470954; 406469836; 461431503; 622390959; 880274209; 814553050; 787639416; 273895743; 19884772; 967816742; 536773417; 692731340; 207626197; 249340210; 327446501; 995242291; 965828267; 57620022; 50287427; 851008086; 277234616; 261616682; 773457611; 413141091; 214836151; 185693232; 767513205; 193833357; 81136524; 460191867; 171457078; 858339248; 762476926; 948617816; 561763884; 153850043; 709467743; 24086144; 299996937; 973860038; 881356291; 326352553; 443620794; 772273541; 370987241; 205469758; 680962261; 82724141; 298608385; 937033670; 310076899; 489297858; 345590444; 447879203; 423810194; 935553213; 552773341; 892167819; 538131808; 169008269; 556174282; 989318981; 495041915; 738567955; 11051833; 477395738; 814061508; 198488098; 303212811; 715372176; 769502230; 655117530; 604740028; 567396579; 990068245; 257102951; 124193773; 25787815; 466758572; 281961845; 205057337; 896964619; 211731888; 906610892; 101211009; 508285921; 672868106; 392359849; 35195822; 914895285; 883391557; 778111240; 926131450; 353729397; 525236003; 467554805; 33404374; 821638195; 420634775; 532499639; 990679527; 275282799; 99180736; 275608512; 896023728; 353640894; 743455518; 342040096; 849154546; 479273416; 212405061; 414566780; 254083479; 927681605; 41049914; 609939861; 79237546; 777896549; 941128832; 97791358; 924592181; 299873212; 529429681; 817354240; 503840368; 99448296; 493134631; 6885185; 937476333; 462726403; 983263402; 86930555; 202217113; 603779233; 524973265; 405383974; 911102210; 22452567; 303420818; 90432373; 591168781; 632709307; 407452552; 73960574; 76615808; 880514188; 734230164; 778713946; 515020281; 72377740; 83496866; 992753020; 525913557; 2093640; 610939829; 38344002; 447372354; 638195162; 16660958; 121403183; 949776221; 551176826; 892819572; 428826742; 387479432; 797392705; 189206693; 834683583; 906113991; 536397382; 712951348; 21458099; 286505608; 144861903; 177637613; 395388951; 943159326; 372864832; 362630968; 111948849; 122344374; 670147933; 768362532; 18587688; 620466631; 802655608; 428879680; 232523594; 926744339; 369930068; 983906680; 167796080; 454554358; 134382008; 452483109; 189057923; 109831637; 715568116; 649306011; 348891761; 681966771; 856221780; 22060550; 706899; 269863653; 963177190; 309924100; 101310241; 516100583; 34822825; 186971465; 176169728; 891757332; 195017813; 723811898; 235300878; 182123291; 351894705; 975289636; 555746340; 518074107; 949450240; 307967536; 949375002; 352166447; 82998965; 422142107; 935925977; 899002335; 304439943; 105909155; 936514426; 53929951; 932416519; 81517091; 503779714; 34123452; 195444947; 61850243; 168533451; 616370423; 623981088; 771792635; 902466331; 425156494; 145991807; 15441962; 230119667; 595729082; 555485843; 792397514; 36206209; 510349624; 890449064; 739438341; 4757924; 752248106; 926216804; 111060372; 794172031; 689524697; 301907753; 855003751; 325962497; 643730347; 676705149; 126983754; 393884257; 895861942; 290380463; 473759791; 901875069; 859832944; 141437648; 872224071; 245725313; 860888251; 689392876; 786466075; 235834589; 184489494; 675694603; 102349506; 826302814; 100225002; 34398985; 174577697; 22767812; 56178237; 827226525; 385383460; 648902953; 632478463; 188427667; 119979958; 501732383; 799723639; 910291867; 722567280; 309188479; 175682078; 939607097; 837522517; 735424083; 961901704; 705355349; 496961041; 297883443; 44779246; 975533211; 404868117; 438260458; 423780221; 382952267; 265547020; 205090589; 669348972; 618319271; 710375903; 385452414; 64898165; 66202067; 629445427; 354472116; 202148204; 705326601; 563864185; 851039856; 278120412; 160495780; 763543378; 962577368; 723857424; 855810033; 326496982; 477279337; 524437371; 533689243; 895129137; 142153064; 198798511; 238008706; 366359797; 544343729; 879607889; 588615328; 306126683; 596773421; 708404102; 495400268; 528629936; 514915680; 422971170; 169417639; 433529269; 232197246; 302341245; 465452518; 690708649; 98840167; 82780958; 481692443; 866100781; 936710178; 257200011; 769156970; 930368958; 354434993; 165891451; 856449825; 735453482; 212595512; 52490667; 237996394; 251610577; 131883269; 658606444; 284203299; 990788003; 990443448; 662611395; 496263920; 843100770; 173074355; 682673766; 992169557; 723560930; 997505653; 221945393; 720172440; 750203316; 532056869; 261409517; 674894055; 8281486; 950083598; 561567742; 705542104; 603104293; 36625302; 282028353; 111836018; 402096645; 256376816; 724178197; 534408803; 197161675; 417140877; 66021011; 13871079; 142006862; 382397126; 372678129; 900622761; 979488712; 883538954; 146141136; 992037399; 940085732; 81450919; 34738385; 617690481; 611872320; 342616799; 499417603; 940771935; 823548276; 624852964; 770731074; 864730537; 920291644; 206892658; 283618714; 984324735; 696569932; 281921452; 682822724; 2795194; 34810474; 222490679; 961546016; 991819821; 855125163; 880339363; 517488829; 791528584; 749027990; 792566233; 769911885; 723789195; 404376358; 212689279; 610199926; 364574782; 291635406; 26163603; 682867016; 875413436; 382178577; 953956264; 958721727; 676858449; 345502209; 976529581; 200218275; 175581840; 874812727; 251398992; 403252093; 875169315; 129779719; 330388847; 446643431; 665113210; 152941233; 317146098; 813243727; 582157270; 107477229; 823832434; 536992229; 250734729; 952250109; 611959332; 917921866; 844658586; 522874907; 735358626; 392565517; 128246887; 671219261; 231324543; 816176624; 822431600; 439409188; 812122073; 225550610; 99320405; 811877578; 159536767; 31818105; 176597298; 481713269; 107329749; 665108604; 601030234; 375907162; 741775157; 914292733; 730797841; 516785669; 639790066; 249120862; 497501951; 970137697; 442079827; 486569637; 247646436; 922699253; 132219861; 985956821; 347174828; 117894314; 12686666; 584546283; 489802973; 85456780; 365969648; 421462787; 945980925; 454099501; 270905241; 578628530; 116718721; 237250634; 251503819; 186670007; 558534433; 158041951; 127942755; 574817521; 92149688; 378373628; 678877240; 417008095; 2526207; 15029807; 810502152; 885501486; 646165360; 180092205; 907311749; 808499453; 637890286; 583238084; 222752945; 337030627; 5304346; 212634516; 178057209; 137449738; 941812020; 278729643; 377995705; 638582856; 199157688; 328677867; 811334644; 621891679; 506939960; 714684272; 271463928; 792478894; 377252730; 839991211; 747202265; 354044508; 680281853; 911402325; 995188298; 452885271; 861605340; 534865357; 293795026; 415085564; 830575817; 269568158; 929045668; 551739070; 587253212; 138494099; 432439069; 518199773; 499244291; 342489911; 513497367; 945724216; 490095681; 862629541; 268390083; 244037632; 654571641; 971210629; 828816383; 371676373; 854374569; 2869277; 388777822; 315626881; 187614999; 635646108; 885887990; 626717155; 165786258; 20599600; 674058504; 302410008; 993938880; 980213513; 57790096; 396592703; 333278168; 872593392; 55488766; 732878777; 542014469; 11468969; 648818554; 862291123; 879916599; 711022849; 329675767; 35901718; 911321791; 137412405; 906347224; 80634320; 256432804; 51522444; 243527183; 308460088; 483166184; 617060655; 205814466; 685840867; 399014135; 154822264; 233014577; 814869690; 299458436; 435568159; 467161225; 429544245; 216424621; 363644283; 531746539; 705512708; 37928949; 853653392; 954345158; 172994014; 901746159; 536854191; 379049000; 337733685; 117906935; 228936283; 362518951; 517748704; 984834065; 68277825; 310009757; 748634140; 621018932; 490686775; 787240081; 253217229; 146211032; 235998382; 600594953; 368357038; 628390342; 426250316; 373115086; 471593720; 915905440; 159497932; 383469235; 6468337; 300793392; 669302956; 724834517; 276521188; 353860599; 862887760; 558926611; 860112753; 729148275; 573618883; 612107229; 574889468; 271446905; 62524775; 283652102; 33338281; 260452490; 358370265; 596857509; 52979516; 359689314; 195835867; 6619121; 202910036; 304426560; 786469291; 842697200; 935629786; 917978183; 819751326; 52882003; 573084174; 521561474; 655884102; 127963562; 509193377; 538383740; 743729651; 372262289; 894297929; 767148921; 100802334; 741186734; 286686576; 686263711; 42014138; 55050538; 362866173; 672397011; 104489291; 483090117; 535789899; 106774516; 753322394; 141066064; 171569897; 764202277; 957267156; 53004148; 300080104; 483361232; 110074521; 337782114; 208327892; 706680373; 846581444; 870631560; 766141469; 327934593; 781629719; 923444372; 539522788; 693843671; 688045937; 558416481; 760394345; 556117394; 24624384; 933632268; 486466837; 493444902; 615358410; 54936404; 977664610; 603170610; 371422861; 273726529; 388590030; 354123509; 852994581; 641381817; 36537772; 221862024; 971962572; 224856563; 616189961; 772434268; 372924159; 200009835; 906134615; 49420985; 284641378; 878461777; 712231071; 703866115; 769873013; 656126363; 456894889; 638971732; 165274267; 144925967; 155470202; 800340758; 399262268; 640714023; 219669411; 874273032; 564891859; 640826567; 388464019; 773042360; 177646473; 747448653; 864527343; 915284205; 760598877; 841672427; 385694550; 794524321; 372153736; 225950158; 10701377; 787679039; 205928828; 254882384; 842287878; 734159049; 365291092; 701401208; 948825540; 795037996; 560710245; 447140723; 768422441; 842075531; 434471668; 522530934; 108648300; 83896146; 324766437; 491917879; 663038118; 475644313; 215039367; 962916939; 461580376; 40379745; 495218671; 682745319; 284069834; 792819469; 149115036; 949223458; 739249098; 435596598; 338477860; 476243182; 801609340; 424628122; 262457868; 15934341; 254096529; 978402953; 423935479; 689644008; 639974467; 270084537; 976374796; 580417004; 195856071; 286254387; 638027332; 944671904; 23403372; 43615334; 31296647; 122821281; 821800358; 933743955; 33029713; 696921644; 157258897; 548523983; 921245975; 381037536; 590522620; 638732044; 404589832; 245292619; 317092398; 442336393; 451696173; 608917625; 273937344; 155228634; 744171917; 368896844; 710323045; 19127964; 561417302; 112630192; 591000058; 295934237; 211855288; 550415625; 523708585; 288615266; 940615312; 564922165; 947632132; 789955743; 466643611; 23280546; 407972314; 382458346; 719296642; 705010024; 303797864; 49024495; 117099454; 966991442; 715688799; 364912007; 849445654; 46242070; 212571519; 17852092; 97098161; 366639947; 532780218; 836671222; 954990327; 410192345; 984184240; 232119842; 948368911; 851453197; 505855443; 138905267; 937745585; 61619128; 722981163; 380851000; 393603395; 567610653; 590979738; 195980178; 926384477; 982788821; 623972193; 433183152; 416758874; 59440471; 644095890; 826905916; 773734007; 317570183; 384107287; 269730941; 59580786; 156958716; 857326074; 674066720; 227076936; 446446917; 451530867; 60414125; 309835870; 84768491; 885465319; 107317810; 998059621; 553150046; 534414351; 314473380; 106407765; 340935174; 250396294; 272018724; 628784043; 942183150; 59484174; 158731507; 159867528; 977558259; 258661424; 284417508; 384872119; 973602246; 572048636; 683095150; 147214583; 70005093; 986039017; 374792464; 970910853; 858271677; 111162411; 182714050; 440331783; 302236798; 103806354; 275234449; 830175676; 113125319; 509594188; 640391253; 143356463; 561842589; 588875767; 496178274; 356916799; 389437263; 742656768; 967991926; 567823143; 189235863; 291227893; 661708015; 986312762; 602418279; 355058743; 111662131; 271939823; 425547858; 678012078; 502853605; 963117209; 47872358; 170283034; 707915402; 94092180; 150340294; 101809703; 587779651; 718980732; 924281151; 145345923; 649360238; 471636622; 732802533; 561443503; 255762077; 310208874; 26675667; 315316371; 692846619; 663196980; 706761706; 760239090; 462497832; 461463235; 685094083; 848688834; 453537354; 208765702; 842978652; 425802336; 419525713; 641333403; 606263425; 309188327; 932729601; 394982417; 558398467; 688930700; 323966397; 800636683; 534780685; 73609921; 25424632; 635777570; 830202001; 745951135; 521234131; 328828021; 288037277; 923115308; 229311398; 11706556; 431219124; 888795225; 451732703; 904506959; 238489949; 58625107; 14266884; 847481585; 281787457; 51506424; 188648674; 643834131; 665072711; 776981408; 598610086; 306634814; 845921377; 561067049; 227754108; 918617670; 394191717; 792935146; 853330001; 877291060; 488049098; 686646812; 756281901; 956416453; 797979234; 958384397; 799694888; 275754440; 819365265; 861760012; 544184076; 481224145; 171546998; 848755816; 509116060; 146984606; 538497366; 667920810; 687001732; 921631087; 955363037; 463225506; 848202417; 749746887; 397250619; 607839247; 916129362; 565748590; 982276772; 202645499; 354435405; 584944154; 19782531; 352893674; 493188668; 5697558; 780126303; 907728490; 979923954; 747687192; 780758173; 582210240; 545432774; 25068245; 100880723; 577050836; 765771517; 467716249; 667647737; 542208791; 235014903; 187049310; 474053278; 254599581; 148298967; 114598714; 338593013; 223523790; 481551496; 789431180; 882850529; 923440130; 430548143; 691519979; 463358910; 157964398; 414602593; 986297993; 12816364; 978511269; 891917067; 50470828; 733672589; 824992740; 486269480; 470240495; 900585518; 722239526; 996614283; 459093322; 165844410; 765235429; 391658125; 781742215; 45856623; 773874153; 804710366; 113324183; 740304899; 599843232; 701408084; 191750911; 841232048; 349001373; 468717157; 335998325; 786475315; 917700002; 470234063; 350402095; 398526196; 514664312; 37004936; 115896903; 172309654; 950396232; 981303078; 135086078; 395993337; 909604398; 936952338; 463751089; 242581460; 783840975; 497988886; 607874299; 761194661; 866472974; 986519694; 803257195; 713713148; 410193292; 308525673; 594731310; 474021236; 959853062; 962922785; 39594272; 54385165; 193317839; 599516771; 476517425; 638032124; 415177512; 427825443; 869493855; 14578512; 378560997; 636873316; 26493504; 154570418; 344791121; 112109658; 959516590; 438361717; 310686124; 581837481; 198753779; 216890896; 700611758; 922977764; 311134203; 20308982; 201656177; 771317938; 169898324; 362911544; 119840309; 789289905; 989786118; 226528978; 831574997; 764307895; 462665964; 260101334; 580749785; 948911500; 356587899; 89647430; 527828260; 626676957; 410393184; 996424829; 19267490; 946298683; 329630343; 679610121; 516974884; 197164269; 348602528; 205917177; 680038116; 22253275; 663162864; 644434597; 597149073; 938059938; 96771311; 404408092; 734917191; 762408285; 947707484; 888620072; 276040982; 176553345; 565485343; 734675295; 995110196; 158556740; 622155832; 800275645; 650062653; 262252396; 791168285; 986942902; 833469806; 118893738; 776787597; 859882149; 39757659; 58415360; 546574672; 11737664; 637661015; 190955110; 393437450; 474259696; 843672680; 81260898; 930188990; 503095958; 518370425; 719170188; 43571477; 640246812; 211166442; 945472953; 769079613; 612760126; 155411524; 35454536; 97874301; 721943741; 688427166; 642594017; 311096169; 948894694; 389550709; 110541446; 846199486; 134607612; 406085254; 574278314; 156169343; 190869291; 388855766; 497980521; 363713391; 268082469; 229370348; 782375734; 955349973; 132748708; 899543888; 619254487; 549321102; 718340635; 247933009; 772653783; 884464779; 148781054; 714133122; 192256467; 889683756; 172740959; 263308912; 964642982; 316373887; 57018463; 897392175; 209607107; 533062583; 88517822; 102213546; 418145984; 987296368; 757221485; 752009338; 897931079; 981809619; 641583511; 347262049; 878485321; 316513158; 70868431; 391170428; 54749347; 264608408; 192386638; 709065930; 502054911; 409518219; 504899727; 464679050; 974462207; 311435715; 434352913; 698221686; 587094183; 15566057; 734679500; 481451196; 6265739; 981495785; 365846878; 54577138; 759917571; 823261541; 20546776; 368931502; 199839501; 95952209; 428762441; 750209556; 48560259; 725129062; 780598800; 613395246; 901794021; 318640119; 42337317; 130324245; 284636646; 971476124; 415160554; 778950188; 666393682; 690335077; 589593341; 365255238; 904430553; 726475096; 257735697; 727336783; 402718151; 98852681; 229275990; 618377982; 128492888; 557091995; 832238376; 134612862; 832798295; 507787868; 53559650; 685541235; 695569728; 295806261; 644912833; 920351560; 201029361; 803430816; 941839950; 201126249; 517359766; 400914932; 988412115; 275094075; 462224447; 949662390; 875067186; 753937356; 275739024; 548473403; 145652518; 649287905; 837272741; 413297558; 700676613; 730699235; 210057998; 481461600; 566399941; 524940182; 856863611; 744688296; 617459822; 827431035; 763632730; 831787650; 94090438; 240680867; 453280563; 75544045; 111159857; 164638788; 916317593; 435623829; 793649563; 881600237; 398143727; 859301724; 111534455; 81050918; 154900304; 435766338; 892779665; 573285926; 108561330; 616432907; 637404458; 747105472; 118835413; 652288492; 826175611; 668183033; 26040151; 669686400; 872586840; 227881125; 648325404; 659843825; 218509900; 629548075; 260785028; 535338649; 893904532; 522821741; 877628126; 282827503; 570254615; 568303866; 919817294; 988498328; 614425557; 43459060; 623503500; 664627032; 636303328; 846601150; 197334938; 526310684; 619049058; 789060025; 686637563; 867850112; 154139784; 261720116; 35831544; 721463940; 161369224; 780775980; 697414629; 145547088; 221230954; 153687793; 469588504; 978148441; 50048980; 117019186; 274831128; 255191748; 604300245; 524045461; 880688992; 541303925; 235393700; 868264109; 750989643; 393801159; 838425660; 627770641; 765059226; 183285887; 828393977; 587358077; 407005805; 755346208; 344145447; 330245966; 653277952; 791037848; 480469963; 990525261; 165129978; 129342904; 435802014; 908584743; 31229286; 33333853; 659522029; 948967107; 926033323; 356766237; 681467201; 672673775; 194542944; 9624188; 554499206; 683909176; 658915424; 330252267; 672478137; 945779009; 993872159; 721577635; 676148650; 552185018; 918372895; 140628262; 727753714; 46780573; 663134934; 601998410; 741297441; 79385187; 257136217; 247488653; 14425974; 986149050; 932169123; 976451676; 215650991; 280702372; 778357313; 973218874; 70145232; 591122301; 106638860; 82259984; 630943819; 308341727; 658687739; 67419299; 340396609; 326371351; 894640391; 904804662; 944888383; 407138456; 224174219; 782447273; 975533514; 808076619; 333414274; 621647827; 960023131; 806741528; 198514958; 482309024; 831122759; 779010018; 214320713; 502431488; 393805221; 862240704; 802495452; 231605508; 652450847; 69475894; 66104521; 374395856; 378890881; 592964851; 148855116; 214377296; 93311165; 710487487; 958673078; 164315687; 873975138; 162089425; 466077831; 894907222; 244817896; 453436180; 785586484; 808555297; 368831538; 46404247; 966605528; 198230080; 87039385; 919810160; 199566146; 583003047; 505762735; 940318827; 387384971; 531240650; 163464159; 673613533; 206305521; 116821597; 425084142; 636437447; 325260380; 92478291; 466428575; 331684460; 511303054; 83371744; 945411808; 451863638; 998399487; 549042416; 195588184; 41048384; 324678709; 218925207; 578132615; 474512881; 888131715; 609629634; 315967544; 524785860; 405721454; 361433872; 453017770; 892259124; 567026430; 713985013; 819121313; 422010737; 765491505; 504281676; 702381649; 283027779; 577050682; 372692946; 185180195; 517515333; 130614056; 225476154; 544197050; 700962027; 387277058; 382713705; 897324537; 503164822; 444887701; 182420609; 873744283; 142151601; 284062282; 961518134; 316391925; 664035305; 611570173; 24232991; 471119; 323356678; 43330530; 13872733; 604098192; 588688422; 477815164; 28066396; 551944250; 460373571; 96655403; 519957638; 815269331; 416066431; 430559538; 315149778; 548579026; 144990926; 469697664; 276807062; 830591963; 951764295; 181848880; 936068345; 572837639; 922297302; 609309316; 330946439; 508778308; 138257464; 421918210; 465536165; 371395717; 879111175; 570454301; 830387367; 926260287; 24090362; 960884016; 260751119; 996609075; 111744778; 128011844; 523180531; 192744573; 804516130; 647879744; 223890485; 359009507; 567955455; 574421554; 518996687; 326162726; 871568286; 418548285; 112048199; 890909087; 311404778; 568729494; 421224695; 350162901; 530242863; 747467203; 381611934; 211446083; 883811171; 341527122; 412057865; 811642307; 185679076; 693170600; 788624238; 324099109; 714729921; 31356006; 72118479; 491162410; 901593054; 803110250; 729605150; 855521063; 268775178; 419314366; 753323676; 310695325; 14882242; 584744584; 760135015; 46726244; 913262988; 892162333; 215206709; 809773945; 250669583; 777730266; 19450704; 702498879; 964618982; 267313963; 609535043; 558209734; 495170008; 68248695; 177889478; 146557513; 247721302; 701384298; 961420809; 734219767; 207894810; 293042802; 293754022; 161043132; 33836350; 112703232; 308818022; 917612884; 904664444; 764605481; 721832183; 343251085; 535612219; 879224758; 691905948; 773951553; 133690810; 593984604; 683971398; 689706459; 811968322; 418017082; 912737146; 205916616; 620772420; 973120125; 165572580; 874491045; 377610832; 987486511; 137290989; 390283999; 826562467; 502995563; 783002407; 570344785; 943064667; 970189318; 846452798; 910267561; 606471603; 680750341; 13209701; 468553463; 278295269; 586389010; 215888907; 515018790; 290759640; 393043623; 904615213; 399187537; 483720295; 155353426; 480587699; 251176122; 878655491; 945782190; 196430423; 997750136; 737070689; 654911200; 900154099; 653028623; 519477937; 744073449; 48870015; 200239316; 862792603; 852827755; 764608931; 631529838; 68492396; 820545240; 15322234; 923996892; 710514931; 454075106; 307582112; 5596337; 213142075; 783881400; 503204458; 863642973; 622375992; 778393993; 967651055; 472266469; 12492125; 895669047; 576735023; 822130813; 135054580; 986196429; 167304411; 572081855; 312889093; 133434946; 484136785; 27619672; 824559119; 569931161; 364774245; 144501670; 462692314; 852202576; 879708780; 178015665; 165811852; 257595208; 384360173; 583044569; 328069145; 127484629; 36017441; 166951728; 201443580; 374458905; 214316611; 837862950; 330948504; 928369647; 639204931; 960058276; 292730470; 345248316; 650427571; 163294601; 641836373; 743064912; 794775263; 324321877; 293118790; 485852066; 647219404; 290640014; 339336921; 128921383; 172558961; 251488718; 26134814; 518135827; 817519804; 965718961; 998183557; 14356515; 309847210; 800796571; 698024049; 433423728; 624395971; 706256749; 216670216; 531234307; 906399856; 499959003; 327123064; 605677605; 365936149; 23417693; 799846383; 269136168; 281086763; 978885725; 545643835; 744612804; 461852542; 270463078; 646302576; 522422656; 154464799; 767445782; 792690212; 68531666; 727570090; 72525894; 996396683; 531010544; 42382280; 748769835; 624205808; 917361334; 236588044; 683084372; 889299825; 739741424; 386436941; 161695028; 337328517; 732263393; 555123611; 13607752; 721847151; 688945925; 216078132; 787473780; 216773720; 389278179; 210405803; 115155670; 575011183; 142497196; 934190229; 873078055; 893489232; 841062861; 372625759; 524356234; 705734718; 456517066; 113604423; 682896572; 382894982; 292023447; 150781316; 653322739; 377341932; 736185517; 593162607; 982179695; 18344146; 215489687; 720125294; 292238403; 637434014; 826539540; 34389162; 867023883; 340526526; 182197168; 652306162; 754353476; 783716047; 706451325; 565701736; 918716329; 55128814; 606803527; 281611323; 699214000; 544949215; 398639786; 268919645; 146984344; 985558486; 651820584; 40965084; 211572085; 405641597; 886035512; 379642306; 987968472; 571318584; 388854058; 679511123; 178404902; 619666669; 37325691; 126439140; 718961704; 105767623; 132055858; 451792081; 839424105; 922053245; 337398532; 337602664; 821637002; 590990074; 439307823; 274112008; 822812816; 537355043; 853428308; 212266193; 677332430; 715807269; 543367766; 753088099; 626618211; 88080978; 274815962; 728566522; 452748624; 814108626; 572062352; 387846671; 587890075; 21902248; 324882097; 385259863; 642963956; 115903935; 811531629; 791276173; 491769116; 86655851; 978170677; 727392696; 976548235; 233236675; 470161347; 756371738; 964215940; 289517144; 903187947; 132052521; 926446996; 471022374; 524184036; 939485998; 19313477; 272591455; 152879235; 284778297; 155648411; 926752440; 937497612; 598055938; 436823197; 140856734; 826702154; 695789314; 211755308; 772041401; 815275856; 898885101; 939092236; 332085738; 414887140; 165913449; 90159444; 387258040; 362208994; 593838498; 496214776; 285234523; 456871368; 573753097; 332272601; 80952038; 188700799; 814309681; 315361587; 631246765; 906865090; 69234278; 56872263; 786848192; 180121065; 353959013; 76342305; 482159028; 516729698; 768235688; 644318208; 528299940; 381880859; 979832443; 204472572; 573131302; 527913439; 847382839; 228761510; 904580691; 109070876; 248715477; 490821722; 247750636; 692003504; 955294532; 733363377; 906421302; 38216708; 498213846; 99737571; 659819621; 971345624; 196392115; 399381532; 405223146; 570308177; 109505366; 157974544; 143941350; 975962499; 733358050; 36353563; 806084118; 902134268; 71425854; 693379929; 757086353; 190549254; 370389201; 107304604; 330192799; 638892369; 409005196; 744363224; 144260281; 258534409; 390744484; 424573251; 671394479; 376480140; 92042280; 299414306; 996034076; 802706701; 42715847; 215367075; 152272317; 976000108; 821481350; 185817634; 749930474; 270696197; 893600017; 702639588; 189856356; 474844682; 32178996; 174950456; 388112219; 97745755; 237879854; 591557837; 540827254; 957274883; 469264349; 886899378; 74115552; 598446033; 109167706; 281288734; 910191665; 415021408; 474028449; 826192411; 509799476; 573127606; 629050467; 434243062; 948834658; 260496179; 93422098; 124933035; 380999408; 814003347; 369674530; 379570541; 70533413; 622860057; 91399722; 708878091; 63259494; 306118696; 626124869; 903483281; 243370302; 994326739; 251195719; 716840980; 616400017; 560936446; 711091045; 569272026; 169433628; 422681260; 263619108; 630679479; 129059004; 697412708; 527092326; 852194680; 391348102; 245425768; 471988384; 395853239; 109281366; 334785503; 521080953; 479227667; 962776910; 996886447; 421385359; 284619225; 592796161; 745179158; 682783888; 794444690; 405677095; 339542147; 519373187; 251376371; 784433220; 295839397; 204806433; 326771075; 464110799; 422944048; 283239975; 133916479; 705063525; 512000782; 801158220; 816118285; 176581266; 122711343; 18130617; 287891526; 217359446; 283972099; 389752158; 117874017; 539329450; 778361467; 869321699; 146584112; 546542016; 305073073; 414187408; 302664058; 441836153; 536586834; 132806967; 820063234; 309521382; 245241901; 233962008; 349444664; 926858280; 674414320; 104286806; 899291098; 404954414; 19417076; 558968023; 168396078; 388843788; 725817073; 914761260; 473797995; 259439033; 710617135; 7084936; 178227413; 738188531; 238820096; 663307924; 925433927; 917312186; 39255082; 538164176; 746778665; 14316368; 534052356; 397086481; 888821955; 425303363; 901384613; 607028982; 645968304; 402958865; 80572801; 599903073; 841514658; 136866129; 594463733; 85075122; 416863014; 772599426; 62923435; 906002409; 201984976; 864338241; 454813084; 329492663; 951638941; 673229563; 153318228; 174861084; 298896244; 960886050; 639735168; 191284060; 491443708; 622333898; 850398306; 671712832; 856908547; 445179879; 991510500; 248066076; 698256833; 62659631; 636809808; 764247046; 938491880; 367135949; 940835581; 23487449; 600406769; 989542858; 438930091; 564234871; 138769209; 303013160; 150244534; 624820812; 425468411; 332440299; 771320989; 167777080; 670434366; 249064387; 950732628; 23839470; 12997652; 613734055; 750054601; 433425470; 987390811; 436147491; 391261859; 557911767; 414728463; 307268554; 546634716; 284628887; 515118129; 953847703; 752229596; 246319253; 906938658; 745135572; 936312292; 628634676; 665921289; 470508413; 364075993; 601399541; 570681563; 155779289; 253912219; 474162457; 149885586; 720679008; 232892856; 414481343; 423534185; 543753500; 426480489; 35246575; 809666912; 618672381; 798450695; 709187178; 615508162; 451099096; 659377516; 79248; 357633383; 505025016; 349900850; 15050757; 632610527; 488339714; 942263030; 884711838; 518116521; 116397517; 741026266; 416080162; 635917488; 555425648; 939975010; 567525376; 135872304; 995228884; 311730060; 660459726; 631117779; 720635282; 735076865; 628303013; 57821815; 281044590; 257062522; 328138316; 406968033; 177955781; 620646295; 411472475; 454647271; 61035658; 5764322; 506736101; 14921371; 738388271; 259702369; 771727834; 357032607; 296974274; 63556331; 276675891; 754891663; 36048852; 315827234; 49993405; 83894124; 208523947; 364516740; 793602084; 842626151; 7598586; 487329444; 32320528; 645361525; 588540401; 666522557; 307519701; 843041595; 310550237; 491741720; 693358882; 516294829; 961665733; 660674910; 730413262; 712822257; 623310143; 43927952; 94109738; 302714480; 642367456; 193460661; 846245654; 405174208; 233328175; 311344327; 966694206; 249784046; 48449034; 650156331; 715554637; 216784608; 539419156; 783107307; 797295186; 739932289; 581497356; 764422806; 140736626; 78161229; 772617845; 506100042; 993938987; 16367065; 69882797; 771747432; 243833454; 288170026; 355857926; 176656157; 330647978; 40613111; 268623801; 61783000; 35623974; 928971418; 492220319; 476730235; 306825090; 144436171; 125553758; 24846881; 798006269; 570582373; 305161973; 493571515; 6815311; 919835645; 392154460; 83127345; 452154469; 118326288; 355036093; 778480914; 712439676; 666022133; 574258207; 934261615; 654581884; 996685295; 439938167; 972137886; 261311048; 856880013; 136375422; 18564928; 707079416; 408607465; 245511502; 414777908; 63803665; 526836738; 768912071; 151544407; 453757663; 970690088; 164449918; 567006218; 467935317; 777290758; 989656919; 6859546; 870105898; 702894545; 911528517; 653012009; 428165313; 468895676; 339637487; 21174704; 451752439; 453213689; 607018573; 541340975; 635875033; 104248001; 88385613; 409142001; 819232821; 219602573; 70109749; 164259132; 164713803; 980755094; 909672094; 957519393; 726931126; 229171174; 90708937; 903123305; 757187051; 919868359; 43279400; 720906524; 744637698; 818656578; 859315224; 633687375; 109228342; 105700069; 516322475; 840278932; 106272498; 384202827; 499634737; 193903156; 264682628; 829500713; 704120328; 889534734; 31633744; 147001; 3613636; 757555952; 125610124; 446253588; 405591068; 877984385; 376389163; 356828715; 790843312; 98335705; 919276204; 316050088; 422947613; 25635871; 984962279; 873022511; 668642329; 141453264; 6427320; 130475015; 98895971; 473660619; 405686161; 308262218; 173580532; 183121236; 678389237; 104858247; 583346471; 235860839; 686554092; 996439834; 525513925; 125120308; 745034697; 766095867; 770111731; 612706082; 120912206; 794654493; 490777884; 189782375; 66897223; 753365462; 198873575; 441018870; 387534247; 74261217; 614464818; 216973462; 478892645; 994393053; 944660058; 869496825; 825839658; 756357267; 548636811; 683490031; 436104422; 532800641; 298776979; 124837160; 623671420; 43929620; 844267273; 731416451; 359240453; 46117276; 724272180; 430765440; 214085573; 944825456; 383739673; 28821023; 810412219; 244137103; 574316374; 350128243; 29819005; 1247382; 480100773; 585116290; 346525623; 827013555; 360392949; 519512743; 330887732; 810898473; 523572150; 547928; 588582976; 888924043; 764065696; 267181970; 526153729; 742645527; 634671306; 57484132; 309239056; 643410636; 968755390; 373800891; 139760158; 639211474; 134568256; 609020178; 53806559; 489921080; 385717334; 11888830; 571233149; 34421204; 650092640; 188959285; 769618321; 990504664; 239825576; 537407436; 386564863; 676356745; 382202690; 912242078; 917535431; 106130333; 98931852; 269267361; 908076481; 820230442; 974041080; 73765229; 290268938; 160685959; 829762445; 239779924; 179218227; 421902006; 967773668; 672588862; 651168274; 221282374; 191845020; 74463284; 364847720; 11165345; 488895678; 403061986; 114570990; 164172591; 279512070; 951120940; 45030147; 147891004; 772106675; 104435975; 925698914; 89316600; 463003002; 201123470; 327497383; 871382888; 416327261; 116346868; 775086676; 748588738; 739153286; 717994008; 382064649; 598363976; 953798233; 927577353; 428482038; 64025497; 509169964; 60992949; 741366738; 11378006; 214844771; 957866360; 892435834; 742909330; 615970603; 852261118; 617821276; 886888993; 471216066; 405929988; 336322714; 329922405; 800469233; 761235371; 833049314; 115262210; 123644589; 915395421; 541643682; 605207285; 298101848; 440957879; 396586454; 402887104; 627031051; 388332881; 423286131; 259449613; 990409043; 75115104; 483868661; 655781090; 270078343; 451589071; 462549279; 340138595; 453779779; 824944115; 596890183; 243096088; 317857852; 466258276; 16282839; 277496751; 695283119; 589664125; 311711332; 101906354; 890193861; 163383380; 512793151; 643426797; 990668911; 604057265; 629125267; 8580700; 704620611; 696964885; 94180246; 425668004; 138920216; 852094782; 293374185; 378586328; 127469487; 831811545; 169217472; 735544343; 532482335; 498764771; 276211799; 213007705; 496968977; 689818517; 778803907; 178431274; 738295583; 464340094; 718663323; 422492698; 389310969; 918929642; 722009647; 59182085; 418017568; 109340327; 856841760; 850587639; 949571415; 244300495; 245178093; 38289473; 228262803; 937240885; 473098785; 96071831; 376858066; 821559427; 869634256; 553242521; 519814707; 824502550; 721067062; 632446168; 558268745; 521512122; 83398317; 728405015; 608589457; 365577397; 224671332; 413765572; 784452033; 410078097; 841983806; 921970714; 42491125; 962122806; 537711565; 906419655; 269097230; 229317919; 11538729; 439973640; 401921723; 108711208; 371142119; 2950040; 872711588; 881211198; 166168321; 596705875; 108403477; 777876158; 537922528; 185724930; 169930979; 899204935; 210558880; 853695579; 422274098; 19502218; 626764987; 283031632; 402480908; 5945353; 697148970; 626382453; 995860583; 253422437; 693646497; 56924554; 155815891; 648153744; 432522145; 285778297; 996243823; 468033302; 956871303; 505626543; 683894106; 659210468; 112182275; 199112104; 541724077; 394915390; 414590931; 723611053; 499746697; 87014069; 824516968; 422188341; 607680381; 718257322; 576880232; 893027349; 845147616; 802854849; 342293678; 216211899; 287224389; 551498934; 694379854; 422363200; 827900652; 277045077; 388433168; 588472285; 35412051; 244942820; 232908024; 64584580; 521934630; 161884804; 165636607; 935511943; 263523285; 954899866; 438024795; 258145217; 561217657; 9828643; 917964613; 370395035; 92799513; 327589282; 224763719; 765420940; 847323269; 631741480; 665925631; 676787554; 47756535; 121492640; 733499604; 837360405; 335908410; 425127499; 235223767; 307068766; 732269678; 241983531; 37409213; 636886401; 84868446; 491977033; 747353147; 851030172; 31197388; 794614089; 200340826; 170217959; 419491768; 317276899; 435292911; 866479811; 966005642; 724790804; 797426833; 173486727; 864520498; 83963930; 111936333; 822162998; 868082553; 137684647; 236953631; 422300877; 910184632; 830066395; 484330084; 17019027; 729135048; 367810545; 554732222; 847936155; 181545846; 723940824; 298734643; 652615663; 857262625; 179926747; 875295157; 626431222; 787753340; 198403317; 262603508; 175412269; 670974983; 802843748; 688775850; 986184252; 278469555; 215126598; 820879922; 631985141; 96726712; 648145206; 387856461; 992672997; 210522201; 483157765; 854507005; 244423782; 801257671; 131532142; 363275089; 671413346; 830937328; 298261486; 87076064; 436117649; 129154018; 988028285; 343877808; 212101321; 547147503; 677728016; 319132211; 963561280; 429239018; 303935822; 696479051; 677736921; 842066161; 885567238; 412058871; 457880824; 582588751; 35933892; 949681221; 236945432; 943828250; 232444214; 547308253; 413934646; 216911206; 558075217; 543134619; 87028197; 539327735; 27338235; 449216211; 682824069; 854522260; 717380673; 280847898; 177888575; 114874327; 277421803; 643594566; 798751711; 963834246; 326979114; 603670382; 531378152; 981683582; 204984763; 13970901; 628811380; 164796945; 54554069; 65073262; 136520837; 428052725; 511459814; 356136618; 745053213; 709173298; 264039741; 510766781; 606215677; 520533550; 76743238; 166579966; 487725766; 928552155; 87529586; 311859760; 558917895; 230711254; 36550719; 640999896; 285558569; 840326500; 517270150; 396066180; 322465547; 252905598; 355849815; 851702703; 50976361; 564838014; 942207272; 160875813; 998703101; 281997827; 577577387; 503148725; 657508089; 385454933; 208364306; 60373569; 444345040; 376801009; 585018797; 838499672; 946754821; 848061731; 862272402; 970976423; 805890237; 432892233; 398899534; 907524212; 605172923; 696937463; 41788588; 569359768; 215127958; 533737466; 41540744; 622828173; 787255368; 265126446; 627450741; 384706228; 701598137; 329574379; 329151069; 576457410; 640527768; 830515456; 171092532; 756695825; 329828566; 23330086; 96741552; 782215636; 843716037; 32641110; 479858768; 877488614; 48150069; 955749282; 883124289; 55233878; 432452327; 759484333; 273701839; 543734510; 233350965; 542549000; 424923966; 243176247; 826369938; 800792698; 618942576; 591465454; 112536449; 38557628; 285545314; 613043048; 768248588; 519903289; 714149440; 901390312; 143990411; 549738230; 571012180; 728537998; 818121334; 778021790; 929293067; 325497046; 183071648; 774868843; 806024324; 380139097; 662982241; 925559900; 93887167; 497506449; 928301316; 324935544; 934475728; 635717243; 267358801; 772916716; 912099582; 626664081; 293514463; 142394504; 239955020; 73876330; 268318244; 742536399; 343627203; 625562045; 520136605; 675500647; 699014133; 614554433; 543247733; 368257502; 40773663; 765466051; 143238693; 327947127; 895933866; 433567756; 502503525; 985065836; 717506007; 337084464; 36076345; 573552261; 511498855; 415192237; 629748233; 652988202; 457527023; 112122047; 611780034; 295921976; 464607458; 281460681; 647364220; 734589224; 571238698; 684208564; 483563203; 851730560; 353364490; 940497658; 438942336; 365068187; 454406352; 882350856; 256389563; 889043471; 31779796; 317591692; 320385083; 533420612; 890180282; 828776415; 386337541; 574170123; 52547847; 605282184; 764525176; 3630144; 362136598; 99521170; 424968696; 355891747; 986314010; 776123362; 304024196; 889476703; 692710673; 247263792; 142774345; 931230718; 794778245; 639066407; 536981755; 958692076; 881313105; 926996960; 957054294; 269856518; 53577170; 92173210; 831791542; 367249742; 702317587; 8792379; 678240730; 778915393; 250862351; 67397385; 52065119; 575918572; 31505292; 686498791; 431053355; 159746074; 54402796; 377498506; 468756710; 941291373; 433173284; 875882057; 641197579; 16532868; 782732012; 420584626; 517509015; 364255107; 814471347; 316816485; 342953836; 304759290; 443566531; 934134786; 607674469; 548805002; 706162376; 278975853; 505940218; 19264182; 188620742; 348041282; 110451455; 579488211; 634652404; 441609621; 477117410; 12736796; 332897245; 116186313; 296480505; 134649064; 279167017; 922271527; 297871875; 237941574; 724770081; 535896969; 610040044; 785294497; 907978587; 883662490; 379714479; 41334267; 371326988; 282806880; 472850964; 234929073; 817761359; 505554347; 295630288; 519742665; 54418313; 482735909; 955744555; 385903085; 460772580; 440968937; 476077716; 115016417; 618260042; 203229340; 435901032; 713286623; 352334210; 626303116; 418038318; 983942275; 695435805; 167124811; 578776395; 540625019; 494524924; 720313280; 533887797; 105677935; 182362905; 100623744; 550053421; 427605100; 740269460; 437096232; 704560404; 775642308; 463038713; 666291618; 296070278; 1998823; 205330442; 912393155; 700574385; 485830848; 754983092; 382363159; 758090400; 594782906; 2400; 734396168; 106561398; 81735870; 707322883; 240481096; 704943783; 967209806; 871379207; 508763415; 68087488; 349422153; 98643097; 862538376; 312168966; 256791805; 963837355; 17037396; 171459683; 783635248; 855373252; 638965653; 946091300; 313973786; 637338870; 177405772; 852821754; 907254182; 586412178; 987141284; 67768549; 601906070; 62930873; 138454949; 838538302; 926639582; 173446360; 740972611; 907287040; 381423274; 339668858; 647764921; 306100972; 780132831; 108093818; 981761565; 478074047; 360519309; 361416114; 722219204; 374997416; 79665698; 587717734; 732391191; 245615818; 668018755; 514524258; 739690989; 342931827; 452144628; 159927635; 75728531; 299973023; 851968370; 942808525; 868441139; 112658005; 696722083; 723118459; 536276052; 62709575; 188126390; 762321328; 689670336; 510313914; 337906022; 993886920; 715281316; 485744830; 434674406; 373091905; 576771310; 549561633; 718888695; 333632198; 354860968; 313483883; 51039555; 936591776; 221358034; 581074656; 560475355; 78464943; 605233853; 952973879; 590349733; 304797067; 635244884; 714614303; 819591991; 634900773; 730314240; 570864691; 156049065; 787614114; 985513191; 490065807; 570231908; 170712750; 960987805; 874947941; 325346436; 96013401; 838393705; 734030921; 873466204; 368089626; 725146983; 770851292; 892496805; 311531581; 772137092; 408205350; 516525615; 682071490; 476207080; 373611228; 56873579; 590740289; 305557645; 38096685; 894523011; 366354894; 955532963; 746302482; 162421028; 184679217; 905635963; 435298253; 353972262; 768130079; 828354015; 182309654; 781760719; 815887529; 503732439; 301084181; 856580199; 818546494; 48288079; 869117463; 899540368; 698183377; 159564613; 981837679; 249425151; 352870487; 259413306; 932504656; 321200320; 895206842; 344759681; 747668406; 840099286; 874748104; 24845897; 453452469; 452878396; 611262290; 377155372; 763821111; 893602406; 74505220; 536280576; 910208373; 831102525; 753808264; 490264059; 692415496; 297973104; 600542591; 737519575; 499459297; 845928912; 290571871; 364950389; 999258546; 678958160; 213874001; 536475497; 516337662; 916622187; 193611046; 536555861; 189567238; 356137830; 477801936; 325730482; 831732431; 504124819; 434469606; 819270302; 82792672; 986095289; 31179231; 719708638; 639259941; 484743372; 782550562; 257846996; 620010177; 963544743; 958178199; 854131531; 740300523; 680639410; 202587736; 857331742; 250502354; 666693604; 962581248; 365808962; 470250354; 295209374; 58172439; 83080368; 87419188; 918757592; 379702314; 521079865; 560419727; 123571638; 691791570; 544517212; 335545328; 984805079; 860619459; 511915035; 343745683; 106901876; 28235080; 77736456; 38549619; 794615865; 630279760; 941977268; 399156559; 852340710; 663082038; 282274562; 897522009; 996408528; 486744544; 782421529; 452337056; 376100059; 957296259; 254593990; 561507941; 929396192; 332493579; 37259616; 301834014; 912928942; 938017399; 730241559; 548385029; 159110245; 365303197; 368919374; 110640567; 945154918; 470756698; 264331902; 62402622; 602911464; 426094172; 74517531; 429858243; 106009494; 417719734; 396864756; 750133641; 227392752; 809615351; 139964303; 573553087; 254639332; 479442429; 191814594; 496786601; 51342363; 822727429; 541218951; 258812113; 79128776; 553349917; 289590040; 12134915; 892068134; 482705207; 713597568; 446098888; 813159363; 593610974; 654822188; 675278887; 922213531; 194279345; 346941059; 431269477; 356706824; 708378429; 755758254; 257024443; 182566019; 223768824; 505073625; 98347382; 231339780; 451355588; 448905354; 294487207; 685618238; 66879130; 642466043; 133029468; 138574402; 736404368; 91659212; 609082023; 166987445; 751396219; 83747562; 726893953; 163299920; 664279075; 188564449; 220117644; 660684605; 705970855; 880317924; 570615653; 203953362; 196697011; 414028396; 108835889; 463285401; 158642406; 594380349; 408097794; 445940066; 266604838; 310508879; 414164911; 182505603; 879790776; 592490523; 280762853; 25307171; 11001480; 996061048; 135432241; 504743734; 510070432; 11143284; 163069966; 749287096; 901333153; 406267644; 791040263; 188065359; 325571828; 18088581; 868045035; 994298635; 317565969; 438082862; 722820370; 848977568; 351045004; 370248629; 953284317; 485590176; 692303493; 427588136; 744784234; 332666262; 278260618; 632515269; 72076721; 496421078; 485353494; 421662942; 211776754; 264712080; 907155112; 302746221; 853449186; 858566292; 821429113; 803608354; 660820423; 516803806; 276442489; 640468839; 459601393; 856696110; 455554035; 33119006; 726284324; 168213512; 519652230; 534850227; 389335441; 446608162; 391490323; 159317945; 60782794; 438039220; 553854984; 883591721; 656135897; 609483306; 935026941; 86746090; 678015254; 668805524; 621182102; 473012268; 502347463; 836320461; 936593136; 318404369; 840436426; 949592876; 908677687; 789645841; 933504882; 891668291; 914257896; 419836839; 403660560; 908515367; 677807119; 300044940; 45674675; 481004223; 740093695; 724850796; 419551386; 988369414; 769274579; 783666462; 467738968; 661464707; 861228843; 225945057; 549723815; 554144721; 700234174; 906587244; 19555392; 4091284; 808843070; 625192648; 405980304; 645708980; 950300865; 274658847; 277242785; 549330566; 823055685; 168126397; 546277034; 820591112; 745350055; 800765793; 994411156; 854382110; 969141348; 522805235; 661862664; 762305574; 100096985; 780429579; 106787438; 75672397; 4922656; 488533499; 669074579; 950669063; 97474279; 962985696; 216554541; 240482684; 628178300; 16384888; 153916785; 832409450; 645773689; 949552734; 410243892; 505114248; 200527771; 550352760; 358786881; 445830793; 624316549; 4102484; 177647438; 300361074; 231497652; 518791284; 1059777; 100401186; 680627689; 955715215; 106285706; 486510259; 12313282; 771336194; 665410402; 742755876; 525346292; 503311794; 145915120; 773639198; 27327732; 377623055; 238688707; 942579326; 732694492; 106720504; 430681223; 288291772; 901024778; 123175420; 535053947; 559726198; 206414933; 194668042; 772137016; 410732194; 826821450; 685843970; 114942212; 69962990; 205674373; 235231960; 139388791; 117352135; 168335781; 934452054; 865934194; 456527126; 713588198; 375433765; 364461240; 606610583; 335367086; 548848776; 807061050; 10302700; 354144889; 973684715; 689319525; 492181507; 86966933; 172130427; 810943293; 877210100; 650397778; 672622227; 707854024; 289912198; 603793423; 287458890; 619210569; 634345013; 367856269; 647554481; 652329613; 622666810; 488939986; 460433625; 195298772; 686055182; 511699556; 208560208; 904188770; 799727412; 651031902; 899880252; 697676842; 199027563; 21930259; 468751952; 677066768; 565335049; 460238949; 556648478; 960763130; 261595819; 9408120; 863726557; 941007143; 700330008; 131098054; 186697235; 270771256; 157596131; 654051695; 543068508; 181661699; 212999220; 14167148; 439423841; 529578556; 166839019; 132690019; 869644190; 722597467; 324897074; 394028197; 891210048; 919749542; 518973184; 130020002; 676971481; 22146411; 957946270; 646028030; 335596710; 124204454; 589489945; 802576696; 737659112; 527099713; 967613708; 780060223; 20063471; 217684253; 83263071; 892651926; 251517939; 383097403; 234624532; 519703983; 541773256; 263889627; 159202964; 527379814; 845407348; 986407067; 398085103; 302941472; 272857088; 735753314; 676345405; 801040575; 435957093; 322264901; 905310981; 651225061; 698025496; 687086033; 105946191; 807727501; 195579478; 461091366; 841003811; 849463882; 721746446; 824935868; 737137468; 67138342; 910670851; 211617308; 630312644; 892671426; 18464686; 524501938; 493290030; 256712016; 38388004; 337552356; 16135259; 610559453; 174538124; 351494227; 447340423; 370419722; 678644862; 614839286; 694690771; 787841178; 830795979; 78747111; 628145648; 366446835; 924023464; 281506365; 739008953; 947583061; 425974538; 158340465; 562979652; 398444334; 975572169; 442027230; 744951339; 783495652; 853018042; 96866257; 391809454; 411839547; 444665939; 733183907; 301338715; 5029412; 334266496; 785746950; 312127081; 93398445; 316789837; 496591133; 9086123; 150259716; 832818610; 391842061; 851504145; 601825447; 581542987; 736787591; 395938862; 588774663; 108995832; 897943190; 266501624; 936822326; 566287709; 196108121; 426700437; 379147563; 507378396; 104889000; 12551617; 389744695; 636360398; 70045406; 548142234; 359005953; 890152810; 262989352; 265022744; 274319387; 234496278; 943658006; 2587636; 679243412; 657940092; 486116036; 922557628; 833799770; 286914012; 896881636; 753909027; 2254299; 244480533; 993412922; 59196745; 190630391; 340634992; 913204583; 890480690; 388242314; 164689025; 468002245; 420851326; 466579486; 271029505; 494940426; 716449541; 548402829; 117632462; 985902010; 965613430; 518228321; 167535795; 151054354; 868707389; 46511877; 324993432; 786665482; 604039934; 714266563; 934808399; 408644269; 351233519; 642344362; 136642676; 677525207; 569720540; 553168968; 500186347; 79021263; 710470592; 327179434; 457938337; 513883621; 399299355; 111337486; 308537759; 443479964; 474689095; 463536323; 742862710; 88251128; 323884749; 474309049; 454529429; 931492544; 271528801; 814603601; 244937907; 19966316; 203838551; 233959837; 864241217; 370632105; 120683822; 297071752; 773269445; 932339420; 760709552; 387091632; 336727735; 363172498; 198312630; 492980219; 66825899; 131117604; 588619912; 164665876; 128657716; 336161256; 4099010; 599260226; 111805634; 843940110; 882420536; 684513140; 458788778; 621791869; 317476546; 601123373; 361414164; 510551376; 796075541; 62962582; 270077516; 674878218; 597759612; 312095666; 1798450; 890564183; 676590467; 343898546; 183824824; 922215761; 98785592; 907039888; 125082584; 72796322; 106213319; 73115388; 604249635; 680621824; 508283677; 131616563; 249837753; 292671378; 448527865; 323992237; 109180664; 709686516; 603300943; 574437254; 182938907; 919180455; 234397702; 421744475; 928683912; 419340127; 603003913; 502431677; 837814895; 308815549; 291117792; 817771292; 240007556; 287161097; 322527208; 200056716; 696263764; 376095653; 640335140; 397850999; 198263966; 674886770; 176181272; 711318925; 842375981; 954327838; 831482095; 887230910; 669939979; 108042495; 291625032; 405051284; 527388577; 265332754; 748901666; 159586651; 853169860; 926083764; 32661925; 421172194; 692606544; 530126998; 63530847; 706320908; 798220839; 217520675; 115410594; 822714819; 625583370; 216648311; 36204645; 234736451; 394172261; 785887908; 524533068; 141261069; 792323480; 4810741; 5260454; 610353862; 284881864; 100790927; 187966162; 918356240; 737457825; 372059118; 355681836; 620876731; 485513108; 759626188; 346561701; 196179597; 459687547; 804192470; 700283288; 386896427; 852493382; 971247760; 93712327; 326371914; 181943962; 848151987; 735631029; 292883450; 465610209; 962816203; 148871769; 819490217; 223719093; 571620827; 468787516; 987794372; 152932960; 910401675; 2128721; 654511336; 6590456; 520449156; 522170508; 147351440; 800440838; 675153284; 838179460; 814662818; 201593052; 577928685; 958191817; 698708245; 251171124; 46587663; 557682161; 883162189; 235765990; 962930541; 651855759; 458034939; 901315154; 265378920; 169166438; 906390384; 104492235; 889438008; 622798221; 573298519; 15931116; 608200480; 41332652; 257668058; 742231946; 733318468; 588153740; 359536256; 657575116; 696263877; 868131117; 347954756; 934434339; 430863112; 777779281; 195028280; 270709338; 319783769; 414820149; 984200675; 815483880; 212063502; 516051807; 965279460; 796256100; 238031420; 168864638; 873243556; 780757481; 760614889; 852727598; 276995100; 298826244; 582882016; 929243153; 496579164; 323453621; 983512777; 240151539; 919042994; 955402911; 745873226; 476810409; 460692629; 678589281; 561259236; 409331699; 753418370; 7027069; 2521447; 663746358; 556304074; 186052160; 535411158; 888243793; 4796231; 697108387; 909806718; 404583696; 152640611; 295941568; 272558634; 383732769; 615432369; 768445776; 569529696; 775678423; 969910309; 762084380; 149737190; 904215290; 35631600; 883559439; 973951692; 473914567; 325335913; 522398499; 49990956; 86052225; 579173450; 756822646; 346991125; 105166241; 366408821; 7977517; 94441721; 598430316; 892187303; 952942551; 758306675; 77870063; 68531674; 39402636; 154589070; 987808262; 34652284; 832132374; 265687873; 203461439; 5859146; 135877875; 58631580; 607983736; 971018014; 395659302; 138667846; 589384747; 87898452; 175397189; 398195647; 953111305; 114206554; 435771449; 468690304; 151763901; 153616649; 905014534; 324793865; 362425786; 445613971; 70410014; 533298662; 943109753; 99138205; 969078676; 613807945; 277557133; 346881415; 574211405; 812665031; 922992149; 906115989; 323216288; 193753664; 21384932; 849289388; 699755921; 735532201; 388896843; 605613584; 312308535; 270343312; 276794372; 687643035; 282534390; 387204739; 610883960; 80478173; 952747027; 899712031; 779890597; 940416079; 212535364; 465993297; 903680919; 576559490; 638147975; 790504349; 282452462; 219330066; 921103998; 436618144; 114296442; 456956811; 939406174; 754842594; 199237860; 910179265; 139744129; 781058913; 242418094; 417040249; 85508845; 297222575; 297437000; 497358029; 902245823; 397571381; 249949442; 86576388; 319900308; 774288723; 215536319; 649942813; 147284848; 141973128; 70347551; 184610680; 879107166; 841509306; 379245195; 618988757; 786519206; 764524300; 557642989; 646329794; 162797993; 153970635; 351600767; 39151982; 959166309; 544997669; 525343157; 182832633; 791349426; 726935992; 500404979; 301575127; 133181533; 475324256; 468232788; 456613914; 724204716; 33078438; 65591547; 579336587; 472094108; 874268368; 851934712; 33240127; 317442702; 765782121; 177948233; 261486538; 17243785; 685311672; 939633051; 534693634; 653186798; 120692524; 828420921; 262199739; 873340154; 287538596; 608103264; 261199967; 68517277; 937809881; 964679506; 259547020; 647555171; 928179910; 860749598; 573358021; 19165987; 441877755; 471335590; 747043443; 583633086; 171373058; 177876824; 65176876; 470893928; 954755789; 373797503; 424547386; 825704496; 410473902; 526582920; 407697522; 313057827; 48347387; 263645164; 256371113; 498594085; 770834335; 851903661; 12478099; 34621115; 472068429; 811393747; 186188077; 684187001; 123458061; 753011463; 845880727; 243384848; 339893253; 135359570; 898261917; 606757967; 534312032; 655421703; 588121559; 252376669; 135702799; 616055349; 214209433; 386005360; 538316596; 711867737; 851969843; 349015218; 167913513; 402660772; 230529217; 64162697; 655668777; 230439025; 100666049; 117290718; 466381215; 502209634; 229316848; 159600772; 58689895; 38338912; 190672548; 25922211; 62149800; 103534088; 815504856; 756521567; 493170839; 116426480; 714649447; 310038768; 318233713; 740794430; 787335387; 967297275; 227455115; 569908549; 923328931; 965296675; 628250823; 604408897; 745605140; 772453297; 887709382; 995635157; 620066279; 6383577; 245084692; 740425194; 143630662; 82756495; 916150692; 401428665; 615943405; 898236333; 942831472; 952632898; 985543191; 377349815; 424683091; 52285380; 245405143; 387426423; 351886766; 546919369; 929561215; 750172521; 488855888; 266124591; 838382624; 446361468; 532704737; 300166008; 172673305; 933657307; 544069251; 913634158; 686747477; 836779972; 297714776; 460081981; 675709973; 343826625; 258995138; 658227604; 847822177; 551704214; 303005176; 232605682; 733324191; 815720146; 843664435; 810828951; 888913038; 434055248; 29580491; 626007723; 69144178; 744787989; 107298062; 569453107; 887998946; 675226463; 848515632; 284107131; 784261922; 151274111; 718440452; 877480239; 702665010; 278388597; 17309173; 239706976; 248769157; 731538403; 440455564; 918547691; 825607306; 854335978; 774116674; 788073273; 182336989; 710596200; 280423224; 606609550; 146913188; 28078818; 61875958; 663368652; 498535041; 194470828; 813559028; 12952251; 312097215; 657785688; 479925992; 755815940; 186799440; 442857583; 151830564; 144269796; 461577678; 351357144; 744335392; 110644308; 936642666; 289575684; 81572677; 562433223; 745079003; 404272999; 809419919; 382541601; 196123560; 812596841; 372083132; 657302321; 445738182; 153734021; 746772455; 659587727; 749557084; 777161862; 105653640; 559518307; 319802792; 992640264; 416040878; 276828213; 509882869; 96328018; 410195495; 499598670; 326556304; 618620226; 136907283; 527549521; 58151195; 98684956; 240333860; 983665222; 17480482; 280503589; 868221253; 256345009; 969202761; 312178542; 944089903; 964396389; 12299489; 469796288; 964297044; 157566903; 364015997; 319103717; 817892418; 579021930; 13677696; 81862186; 552268366; 145225733; 388095503; 835391628; 899739479; 319232009; 741650706; 259035996; 472983593; 651203832; 645633811; 193106569; 23591317; 148115254; 310279506; 513486516; 847450668; 45400720; 489956078; 527481763; 765286711; 464628520; 43814676; 245624788; 456723528; 709087979; 374794217; 933408756; 660895036; 927503873; 148415378; 194248852; 890876037; 695777143; 158301504; 755698743; 602362757; 677017704; 657889469; 534924368; 906157099; 382047775; 68279386; 76621292; 604910747; 283898328; 453566602; 443115388; 31641528; 725517746; 591864580; 90808422; 969026338; 190882515; 416617419; 157758160; 881928648; 629865722; 800165209; 511282808; 898696760; 578525058; 371514080; 49131097; 126668129; 186068404; 427736328; 785459346; 23767989; 669984880; 890020822; 402534919; 69056634; 848663083; 974292456; 622632991; 84774312; 330073660; 705731053; 659224886; 564812260; 649993895; 385054430; 639330675; 494642764; 763088190; 86778686; 840781219; 895158191; 412067119; 450850376; 47635117; 172333627; 91271992; 788572284; 302401653; 800347516; 794689606; 700740291; 852590826; 49249717; 818709665; 647090186; 75581632; 316979279; 836540000; 207412402; 341122333; 904925442; 17970509; 804488249; 181088845; 457398613; 641738096; 521076958; 399535905; 927038206; 531581514; 89755185; 568210035; 264083792; 438147707; 461067118; 155435223; 398745882; 428485169; 841376145; 888486503; 433938380; 479839583; 236777894; 889109990; 767959216; 276015167; 923418640; 951730010; 534519502; 699641113; 380516833; 199557862; 174042508; 492490188; 857719861; 652378172; 825825681; 177262010; 773390060; 859803241; 685291053; 94900922; 280171837; 697390878; 904267490; 405140498; 631378470; 735534598; 949785971; 120002797; 309548330; 392018343; 432632349; 803442113; 319940288; 171938115; 750132408; 395291572; 274433260; 950621238; 953601888; 316724827; 732615007; 709398114; 357961232; 226435930; 463719669; 119004500; 926046566; 375367143; 456280577; 897363230; 321707875; 362916142; 546932742; 800455892; 354747381; 507935717; 103050101; 506884744; 55819037; 572143961; 514826014; 735798258; 355822775; 621152637; 744207156; 325624090; 461341348; 449653283; 572669991; 67842315; 908180319; 640268618; 214377936; 345061032; 394355323; 363272056; 583544296; 628143121; 464769054; 922713954; 15093013; 221899731; 759359213; 661226419; 394837828; 462854204; 102577214; 952013726; 29268988; 559480792; 163067244; 799746170; 143043352; 456394057; 613172581; 390756588; 603039635; 516751536; 537510974; 694536720; 324874892; 947905364; 143363324; 517069727; 179807105; 172570294; 510718023; 743288959; 791826781; 841717186; 885627222; 423890772; 577575354; 544384027; 820901164; 740283059; 858971381; 792995135; 936553376; 851461564; 782293872; 693233446; 461509240; 187624377; 791137831; 784374961; 203830873; 492588654; 308808656; 381023831; 875252069; 66785800; 928896491; 946135909; 295777704; 303528680; 59465674; 499892963; 736343621; 720898217; 136177980; 191790815; 963639605; 612089790; 553735257; 652603572; 279565238; 284811676; 802051791; 331824789; 420300691; 385533274; 128219793; 475295901; 297534144; 535879851; 573286487; 742646615; 714183684; 146112243; 139400012; 746368583; 566102987; 553941001; 264149160; 125034729; 515789662; 542392160; 56327781; 305689939; 737888971; 58360682; 35891408; 891629542; 171201773; 956858784; 481267569; 141956424; 18176841; 62093440; 291526336; 389045064; 104831872; 386939601; 992118669; 411185546; 899820633; 505699349; 396925773; 227287069; 567729032; 994329549; 928702396; 819829153; 349309642; 890228519; 672642785; 872605296; 368046973; 154831670; 633639130; 217667319; 165428127; 741162097; 678142049; 27491680; 453055494; 170509226; 923958955; 319488734; 623224269; 92762864; 248798156; 967761957; 998710547; 777616116; 196065571; 145225836; 134357071; 461790303; 576095229; 358107149; 61235146; 716113754; 992352141; 313190476; 511924580; 937347609; 41375478; 51775066; 530073957; 955109316; 916994986; 260081676; 709431976; 697558728; 962020390; 996588840; 141125234; 60590577; 966654833; 155357884; 102697907; 112898930; 8750637; 614723779; 24143598; 47435647; 117695370; 765745083; 467003640; 557086033; 931497785; 547286816; 599040751; 543317106; 204924491; 851852724; 550990846; 177871652; 549411262; 674929463; 693983684; 55598775; 933420143; 904858686; 771046057; 251906115; 479599854; 244319877; 271827370; 457121060; 804648012; 898996298; 787583321; 350011602; 769830665; 507106790; 328268200; 9504213; 246428039; 579847696; 483007996; 772344185; 388853114; 746161209; 937911085; 215218066; 881279093; 68265430; 694006849; 40111062; 709556927; 500066158; 107015854; 569466694; 604127736; 390527271; 855376375; 355085380; 31751835; 782308835; 314041218; 907981606; 103624655; 987998306; 35968255; 930621935; 675955959; 859345023; 927278408; 953540104; 992801210; 182504195; 383725050; 276520873; 246966463; 391205972; 212005696; 690702135; 186650932; 630398988; 481863705; 820015855; 442326399; 785545883; 841273753; 92426057; 449643783; 189886063; 138153159; 396886018; 739599060; 641413452; 24476340; 922971701; 893629356; 985437278; 586641179; 509379420; 555732712; 505009851; 671905716; 556584290; 289599284; 139764999; 695277572; 503815554; 909325787; 621298816; 293512420; 248179018; 383133127; 968070236; 872969345; 817987845; 652179350; 378207171; 34177948; 70241621; 113916537; 478378153; 908929536; 10166896; 699797025; 147754948; 656537505; 579940131; 664465798; 996233037; 593335905; 918064827; 2065452; 646937142; 394751358; 119065882; 485852922; 242470264; 347962003; 17657596; 716927956; 81373929; 835611828; 630184962; 482982242; 973654650; 976377416; 326248504; 664195339; 44276393; 501270155; 187746381; 427395652; 366401777; 588381632; 56236201; 405081809; 78399728; 496785917; 284161896; 490287294; 502107933; 996130009; 947183803; 136146833; 723951808; 181920328; 360592448; 439901487; 742041754; 557296007; 847825951; 511586277; 823812031; 191815237; 727731252; 925854096; 413775230; 476750720; 366711887; 792758532; 816942176; 997322568; 145404730; 602647887; 182558738; 36807904; 872052864; 315192563; 392354005; 260542904; 580706386; 141973022; 511510520; 107304785; 400632580; 243670953; 326191509; 411945471; 675713528; 526957650; 149389086; 179364331; 647778848; 138600071; 249117340; 546864927; 979349945; 67808872; 547041736; 512150929; 147077767; 576105543; 645945672; 127974098; 681299234; 312340595; 697427740; 700601900; 657776191; 267335493; 918940571; 806243777; 703088867; 742171183; 8951367; 809116931; 667411335; 917100968; 378292853; 743198626; 83595656; 673674792; 416694515; 170769902; 741094564; 200654720; 968594408; 38946492; 383169515; 803482351; 548200916; 287857019; 371909539; 410762153; 668456788; 257618086; 83225437; 222298408; 643990538; 219077737; 303315224; 840702335; 85003284; 129613337; 378185304; 769344296; 506312307; 296624102; 343197132; 318442114; 571254354; 800861788; 109491652; 730343462; 123117716; 520521008; 621304375; 352658350; 659152786; 651140117; 510695816; 847572924; 506365788; 462408197; 458119812; 745994505; 468807045; 896804386; 141332484; 923660756; 808135126; 195159726; 668797625; 520779149; 129325566; 27095726; 939400343; 206158841; 535088594; 139027203; 863703791; 498885699; 976596021; 714896696; 819469678; 1279997; 90365482; 903798754; 700268470; 870267946; 855640216; 39457079; 795480236; 707019362; 108365705; 612370460; 439961296; 618625803; 785704098; 629524918; 358669986; 353321846; 527198276; 265881583; 386829745; 91537597; 426036189; 794311266; 452522100; 893410293; 646958029; 978910282; 875048570; 816664033; 547776577; 148831325; 545281705; 181893272; 588376625; 62593072; 888920566; 313325803; 78359331; 381464578; 224730194; 404361952; 975407616; 464857567; 915028074; 716394403; 409223194; 669537840; 518372565; 916535279; 170618544; 364985000; 180346444; 534089468; 188250689; 110435801; 76054691; 325076645; 224336409; 338296942; 952959759; 298918395; 112708497; 28485961; 392773777; 106271402; 484200090; 139616303; 868349938; 124123113; 413287692; 961573763; 911750608; 182365930; 611526846; 188589527; 477527507; 540301926; 133540213; 749299777; 894949049; 971258674; 761492664; 249214242; 885086884; 429147401; 737787165; 982556888; 863846614; 115721024; 938927586; 612661859; 17091504; 267060844; 778239705; 458136520; 883421189; 721172740; 615793083; 754098139; 383566737; 688881149; 259641751; 456252274; 413316161; 562039340; 562192441; 657022339; 825491338; 364605250; 248927821; 204332727; 21115867; 510692262; 547664591; 27368304; 626054110; 453477733; 965426413; 585572958; 894198098; 845202972; 57197158; 582307377; 829596124; 77481595; 214923002; 488494530; 31254777; 716749955; 663408918; 639832850; 45551037; 88577302; 960775348; 675777393; 257870671; 430844645; 86126314; 325639211; 595215303; 66682611; 323588591; 898159938; 729765373; 11361702; 857244969; 630428198; 344005864; 481615157; 658026623; 97544919; 40361661; 893515481; 766527939; 424658384; 932286115; 269103540; 333073589; 784319589; 398354827; 197302528; 494412144; 583078520; 480617409; 518234867; 177659258; 214449957; 20963735; 900367187; 600820470; 320312511; 495578462; 283645598; 508062608; 628218230; 37482362; 239572250; 512315321; 725284373; 329358694; 511101447; 17083723; 181215734; 430570474; 156212125; 567079692; 566874172; 123539018; 103484222; 828681010; 167409191; 121506138; 267206966; 856688470; 56361382; 722745969; 847272439; 437591959; 319565600; 392298627; 481204969; 666056962; 782720838; 537508427; 625053504; 820013911; 505950233; 402501589; 441291047; 156588594; 646148518; 597632784; 38704452; 882438880; 182831039; 201861877; 214871672; 347776958; 498966166; 13991764; 186628637; 439574240; 838784693; 483188207; 755924290; 596112254; 802433472; 228400846; 664005281; 650094825; 506397465; 439217975; 305561355; 54217457; 600511626; 490785232; 1649907; 748198621; 645582163; 777058810; 201541310; 57009871; 579221951; 541039822; 471485806; 748598385; 615889740; 546860529; 330406932; 322731805; 982367741; 818703031; 273296534; 43035933; 657442515; 982472703; 481021724; 688884116; 607818969; 308607606; 703894795; 160710333; 448703867; 470892206; 675198664; 325443419; 329269404; 292558494; 923915177; 656166591; 216923439; 660414179; 753500699; 289755539; 620404950; 601398870; 757483412; 178843327; 983829953; 112013701; 866733650; 369873708; 169291068; 946381508; 723657354; 501733586; 765991423; 660672633; 462432433; 534678965; 960114105; 478030057; 576741383; 927244947; 568691151; 337841329; 800298708; 663841121; 123101591; 31311010; 68366341; 65165974; 600361210; 974624309; 838005743; 577896194; 766078471; 129390525; 818814813; 686624171; 551035884; 46879852; 317890314; 635665688; 487841437; 300655302; 78056140; 727070939; 419063024; 35461523; 869303525; 290644421; 158898529; 36591900; 35932549; 491065967; 449285323; 829778130; 761092654; 953459382; 141711666; 87519509; 881631857; 485437614; 300335821; 950731292; 580969588; 940335515; 874367637; 681873953; 110323914; 512987426; 793764117; 164114441; 584875946; 599719008; 343366864; 317639726; 286574686; 223429676; 109626798; 271232912; 805229066; 636524151; 399512727; 728031157; 183389042; 240731497; 832918711; 863223866; 701214502; 785514330; 757145035; 638327644; 486896902; 210683227; 709159461; 893785527; 714707413; 291065956; 999180266; 122549883; 830609307; 846498912; 16263862; 128743972; 316450436; 654045884; 2667771; 639740716; 595030690; 814156724; 30060942; 463033516; 425135015; 511412426; 399096923; 112030017; 385210716; 713407011; 974495556; 228396928; 803477439; 428612817; 340684355; 72070760; 661050305; 145548457; 41848067; 741469985; 596122892; 827433175; 420735745; 963880730; 738094746; 263156429; 449136427; 399451173; 342636970; 581766334; 96331502; 30635618; 114056719; 240169419; 751723815; 599882908; 910300988; 49418037; 967270681; 101121314; 143258377; 145181715; 158797876; 585227295; 23144662; 324317639; 685286511; 520305496; 509810754; 921733454; 50741067; 878047818; 736089818; 15273616; 323040697; 30108054; 15068584; 58471634; 578082785; 20642577; 286970666; 730836577; 607705242; 555594036; 504706512; 582579350; 83851870; 692968480; 594253565; 69355371; 652810495; 572877221; 12675090; 278374149; 532340997; 149499197; 715393047; 845510390; 928969371; 575979034; 680217443; 500814202; 119577756; 506931006; 101649554; 198617091; 518917334; 499063175; 492713623; 858866802; 797638168; 295227410; 882469394; 971018232; 551105351; 739936130; 503618350; 559698672; 618570125; 960008051; 863481674; 972823379; 160466945; 30720638; 445961060; 286895704; 458040928; 302542247; 325039416; 479504528; 931417282; 683967532; 666139637; 9991762; 187602289; 458596573; 818086442; 242830795; 122597351; 727616093; 123368857; 282625062; 567700247; 68607397; 914037843; 147696028; 687194905; 866005643; 978248889; 555420622; 727126270; 640616225; 548698971; 263975710; 329730182; 436205256; 568625402; 289566410; 645796652; 278832022; 139591237; 65490675; 665248265; 687048204; 351603338; 584771907; 502139850; 705085022; 194555831; 114214203; 729387849; 413271856; 982113843; 731114040; 611240364; 894952804; 432362002; 579196880; 788832870; 442757143; 787490007; 729317446; 961282976; 331606650; 388259442; 162412649; 693372406; 163655305; 737570121; 386030526; 265107968; 304725384; 812938031; 443370736; 434792423; 500793616; 592545986; 745377341; 719552500; 867609304; 601099036; 607883599; 998057841; 789056402; 365658873; 149088710; 308289341; 430274004; 345414421; 340356641; 426565857; 172990618; 732893980; 489388715; 37016057; 117067653; 809157265; 730000686; 576105973; 429487411; 318150681; 625812265; 913332975; 669343980; 205587230; 184749504; 393830158; 154991424; 576042862; 477673738; 833760365; 354231984; 814955152; 416337635; 281175219; 315628929; 67409441; 366689386; 940485182; 920961387; 788517102; 808207830; 274637504; 899500216; 552941030; 839681726; 550615209; 834768476; 175688311; 767414138; 891283798; 487869796; 779908830; 262397563; 97957945; 518098706; 153345380; 338971039; 994229640; 490068585; 946447166; 678583938; 75123218; 235576054; 513454964; 639419480; 77347963; 795890683; 159723456; 569050398; 623873583; 125638143; 253964077; 613120119; 307009781; 854050535; 523573170; 714981420; 735043974; 117609445; 873078861; 821395210; 416884431; 551841717; 920180672; 445619884; 661170098; 465506917; 364926006; 125389213; 170173885; 100910327; 977123424; 146573031; 970984521; 904275789; 489280726; 509545633; 596709755; 950887506; 493717384; 522869309; 706685638; 49693980; 599015929; 726781311; 880241855; 443163728; 571153042; 647921132; 793190240; 512532854; 282023390; 809801873; 111727026; 973177567; 613751497; 769784802; 507304665; 571643155; 304539836; 679568797; 161684763; 286298293; 447731745; 492590686; 400021136; 611999579; 768517328; 33340443; 197160426; 851347989; 382782348; 437827909; 49122159; 14858325; 107808501; 642702771; 820265079; 908044217; 975192565; 42740071; 301569486; 261609215; 483783697; 270845855; 953525411; 433334045; 733915151; 804122035; 837514072; 354035885; 42231432; 804131838; 533637918; 765414540; 585782503; 254571584; 284420630; 717248775; 823482331; 67706263; 420823869; 594456106; 854322358; 513724108; 796436270; 167121631; 277730292; 572520115; 387455970; 134510209; 530854230; 770485945; 137770742; 653489764; 911450672; 169076299; 973178465; 33325229; 583884415; 298279630; 482710605; 979898824; 578986265; 967704297; 927480704; 673929354; 17265624; 412209691; 483584233; 465444235; 91759926; 523183038; 671884341; 772191809; 241990322; 451363386; 23746642; 328530889; 100439015; 138197742; 454265287; 234010943; 235321965; 286354839; 11399980; 442681280; 395354176; 196387261; 526979845; 979069696; 384445778; 63922004; 448449347; 467370161; 12501931; 525437941; 844347868; 363993639; 123390245; 372779450; 438871378; 928702535; 922774227; 275955025; 909268037; 608648648; 851511781; 79820971; 477676219; 82909042; 61552992; 272303691; 453058165; 993740161; 566756540; 671139562; 700984913; 247814663; 988630482; 272647691; 617940939; 682088710; 929502509; 72528955; 228647483; 924385736; 784288807; 687504084; 493172243; 7410409; 859693916; 217420272; 972954735; 660448464; 532104048; 975942124; 229732924; 706527599; 571326966; 193850527; 237189012; 401193577; 127124624; 269099324; 68791900; 451538840; 158570712; 750202343; 316017115; 165738112; 557182428; 768177748; 856448411; 323678236; 640304369; 474279161; 29826084; 762921065; 87921973; 407928921; 436529019; 501224008; 486249084; 943991388; 946188406; 384685847; 231434383; 141741953; 680389033; 822665682; 444399901; 799183797; 663502868; 525755303; 487019121; 678607004; 413471252; 975144104; 600232661; 410453636; 125643759; 995333824; 625072704; 656856267; 29165491; 995396459; 698351985; 179153523; 264982931; 962247732; 216429303; 930388221; 797840513; 901444140; 632566162; 443659361; 147257622; 281229688; 785370406; 577252509; 731936559; 273753812; 76779878; 380368629; 644275718; 573230520; 493659766; 266905553; 243566667; 380853726; 114931170; 430751495; 802318964; 919127446; 673178934; 970375091; 907607115; 319313506; 587301254; 250999742; 258792256; 447081012; 468733794; 970626616; 897978065; 463664449; 51397328; 539144356; 728740584; 837285070; 851810376; 629764446; 787280916; 443292918; 298992759; 369282910; 864984646; 753903636; 795916933; 688922010; 838829218; 94284665; 15509263; 479376501; 561458676; 429169887; 901950913; 687756508; 687355375; 434569662; 253369819; 224996566; 841357494; 114495548; 886494687; 812746448; 187540856; 392036841; 127095745; 327286411; 315200890; 84297428; 157246599; 763142283; 637770490; 832677583; 483569130; 970479427; 450326407; 934091187; 381667328; 290242337; 745057995; 533205288; 596242510; 777546839; 412524307; 847153910; 72760249; 378715840; 597103228; 612559387; 931986257; 855861072; 820309088; 605509719; 528765490; 750796560; 311999270; 359922248; 382974881; 350854819; 992673088; 733944253; 437015554; 440981394; 417248658; 131439216; 921810301; 501725205; 620447276; 223802491; 281081526; 988528589; 478355744; 959214946; 696577650; 880824010; 404671473; 327341940; 32317431; 20632093; 91096564; 22818900; 508487342; 202034724; 57999344; 233609823; 985933648; 612612331; 447616295; 891828679; 353172084; 539546840; 161740521; 389477744; 976353332; 377773136; 633080644; 471328234; 747249619; 569689149; 549460196; 14799733; 898787794; 379352341; 877998726; 570107923; 194509816; 320007186; 463390388; 308607781; 654123396; 711851182; 304809894; 617155242; 724319137; 367406963; 739244270; 87910673; 746819934; 1178927; 223818234; 554632586; 170983226; 498414774; 197951135; 757131737; 980448822; 125626797; 487202159; 810996759; 310736614; 444506831; 140418853; 532051654; 446905400; 278577398; 527950683; 891820968; 92906649; 329905152; 473144030; 43814803; 461257283; 634758102; 405923927; 29220667; 680335797; 542156697; 477131634; 314185414; 71910901; 785906496; 252926479; 112854736; 678531333; 556628929; 741722780; 177925912; 175365762; 553537913; 453923993; 977490551; 397779306; 801129699; 191616718; 229632237; 442420621; 52927797; 79284149; 386709118; 113048869; 536654831; 421800798; 541397772; 595264521; 472694126; 640955324; 165745531; 154866111; 743678172; 46045478; 781287616; 216750854; 476770061; 706449057; 306686175; 234358938; 229869080; 172751777; 42956039; 241195090; 304152759; 834631911; 757190040; 920247127; 309562775; 369773444; 230361404; 305073218; 567408047; 840825590; 958762400; 107669202; 515797060; 476521963; 442557479; 249570164; 675065553; 483014817; 941495359; 116372705; 882279888; 758708275; 153093552; 391149479; 484238397; 718314970; 963258005; 691794246; 99793208; 6338400; 961825228; 947006026; 752473202; 161659130; 182496786; 3122622; 996353371; 150446498; 980812371; 754700903; 780407038; 802268842; 947780711; 530444064; 74369919; 902045066; 712443016; 672046971; 720031995; 922881144; 215081315; 2250549; 998252364; 831236137; 741383722; 149891404; 86913957; 721854944; 843451921; 218572964; 37230118; 758772720; 661958072; 554509729; 786751819; 881667279; 505374590; 823682180; 623172397; 243120469; 6539839; 557379213; 949475248; 551823191; 808601773; 315679851; 223597941; 870088954; 443794246; 393456967; 512552598; 57799144; 13360621; 669560115; 623026901; 834837175; 444927581; 876725919; 911501941; 134128261; 886925545; 930224105; 965896857; 292879457; 928914934; 141727616; 935680434; 51851171; 150396873; 24847966; 500915562; 486757577; 540019214; 55853489; 108621927; 737156343; 151923591; 973143029; 512270629; 327127090; 536883356; 185914975; 703842406; 728797651; 540188878; 42160700; 642880945; 216563644; 311624814; 151782577; 848252666; 189560895; 489896391; 606673706; 477062676; 446644148; 778873783; 814837387; 692753915; 298254874; 474282593; 590440383; 373937995; 28664783; 290759282; 478670892; 374793239; 152668103; 256529599; 361741209; 734661330; 629656470; 101372930; 398054724; 9636274; 700938601; 394375124; 447839531; 923825587; 883887936; 109190820; 73982244; 829186778; 16513258; 733663097; 709063354; 156942950; 708088710; 142442430; 623079224; 905067813; 921787352; 194898122; 756352724; 376358456; 427240693; 23008617; 121954673; 80670576; 730172577; 398047139; 880342786; 209505917; 803036246; 986832779; 516548337; 348678032; 697340655; 80870953; 336297845; 590579043; 343049269; 941476688; 479867074; 748968334; 548677738; 233667877; 867548695; 813565310; 133826010; 863315175; 65369616; 539960852; 127648788; 768336751; 879231011; 72685788; 681114404; 341483393; 618641504; 788543415; 360947072; 262332306; 332846017; 413342482; 492065521; 102755137; 791322677; 711313182; 890734267; 492150585; 125125008; 158457087; 97204061; 255896443; 21662273; 683490888; 302721519; 989989035; 355583540; 237787066; 561453197; 828929839; 164861810; 192138276; 690983548; 949279993; 484955415; 839515591; 681853964; 21380012; 295171078; 314087392; 40374860; 767869541; 545272218; 212003252; 694448309; 44344931; 294686192; 440648271; 20916910; 304839557; 442586723; 849649902; 504233930; 919804906; 243756418; 667790619; 94325456; 197539560; 839452643; 224087231; 627657281; 837977546; 62922730; 331375971; 656602411; 267306152; 646542233; 487011467; 420200739; 970374781; 193136116; 259551460; 56982938; 728288841; 877085417; 398787597; 645414471; 716729114; 522970862; 289335820; 849274957; 985782289; 330336549; 147831414; 466994242; 590239740; 321187523; 794232676; 275379993; 255595671; 414539271; 761754840; 226070463; 279749557; 732716955; 811049178; 267851811; 827283297; 286282041; 425923377; 557700597; 462224865; 110283250; 79349055; 755741525; 502338110; 381407165; 190857386; 818974661; 599482603; 786949806; 385480110; 59045835; 157508595; 182230741; 109034878; 663875278; 414664510; 834570591; 162208199; 201896677; 73169007; 775056072; 330562395; 815702053; 732871952; 386497876; 727735957; 297512344; 81102614; 64476290; 763774422; 917856597; 642712557; 805370903; 704418524; 661864000; 844613262; 821173623; 842084599; 945420882; 520178812; 773063105; 794559769; 799900264; 328083492; 257583309; 641450022; 959167493; 240352054; 746212096; 269576727; 954496482; 329632531; 968567750; 581413162; 219409399; 72863109; 860214367; 299985002; 63422574; 809876326; 780785206; 380595378; 25228291; 24290698; 671549493; 803549511; 862783237; 540871561; 973377335; 131801959; 11176116; 914264846; 324107268; 918567020; 789962631; 121197919; 618432354; 154456435; 739408644; 51975043; 757920761; 714140418; 873931170; 452598584; 292123373; 374357692; 113426574; 552896353; 121348198; 276598753; 814778153; 289076078; 917730154; 581892186; 288423807; 812924586; 436475971; 440860691; 915416455; 45972390; 781929164; 108115081; 67895699; 461145967; 400782986; 343751241; 982140232; 729460550; 607555884; 892556185; 481211205; 199154478; 941194400; 994988401; 21201877; 64975225; 331511033; 89723152; 533112592; 654513138; 382203987; 25875181; 848441524; 924504106; 550904921; 247212425; 400103200; 778578014; 946038035; 729967462; 792567330; 953244200; 527344015; 352484943; 669514388; 534144817; 424467032; 9675580; 352381485; 666843361; 44034870; 541153935; 816210145; 953213442; 407931221; 704341148; 48330616; 514704450; 144695788; 184403991; 62960299; 191076319; 644998535; 442223021; 618251637; 755340441; 356681774; 218131464; 2978461; 450513234; 56953981; 480386266; 918847154; 805051221; 979852035; 118357490; 602408901; 553500929; 402905028; 903200700; 608983836; 405465625; 884447450; 871320490; 574492645; 712721281; 545141199; 643122217; 455215864; 369286023; 829432298; 776340057; 746110064; 68400584; 694929667; 995903084; 849605148; 576780248; 297871623; 303644935; 959665945; 452916334; 504177808; 820330346; 672231643; 913320081; 153716995; 764632276; 778920425; 691358472; 484676167; 95821096; 273930055; 520933369; 204880888; 424771231; 200001599; 87544369; 812055738; 538360875; 389588008; 636287768; 84756670; 254316911; 135791788; 16698340; 595254671; 129897621; 756266851; 27945539; 246861100; 722185540; 970046209; 39132860; 420284908; 109249154; 621775209; 793429254; 477823184; 349975049; 467697256; 283134610; 7435339; 473904132; 703210014; 5884256; 493905062; 383020607; 422180150; 645579239; 284678640; 278157633; 843814632; 343164063; 614280810; 207149706; 630108890; 302060276; 142419270; 411896770; 454642609; 934066465; 896529156; 146798296; 504507378; 958966589; 304013059; 948429585; 392481251; 254044560; 282406870; 887025082; 902797934; 539316751; 942190980; 5252342; 999409064; 50427638; 104863710; 141514226; 197878183; 617105815; 108470700; 160936855; 571960966; 353857459; 970714138; 792518450; 588528770; 323896906; 677665602; 223925331; 645076183; 993628448; 730498993; 402415856; 446794188; 945405635; 448390446; 214111759; 74497214; 184142502; 813117555; 668871099; 783119305; 996142076; 226135507; 577796324; 329545370; 988992000; 73044736; 411465544; 200504287; 924848901; 177046628; 989795947; 130728192; 997915863; 865837634; 661184773; 703324798; 262713345; 28593644; 996184056; 142245015; 19508658; 37681962; 661981888; 492487715; 667415848; 305802038; 173225528; 685210486; 864388607; 225597345; 798535436; 449389286; 136315069; 32345122; 929895305; 147323848; 677431408; 435047674; 710520022; 917237286; 802170166; 596301180; 330141808; 966573354; 486292390; 343187508; 27664074; 619814055; 215127628; 714645534; 916021956; 760532089; 238737276; 472084060; 512188992; 27980516; 126239791; 703842483; 719181325; 872476177; 280828447; 998014522; 810156848; 9095615; 133505117; 964341752; 500824092; 699278322; 417738879; 821867151; 761302150; 273113640; 529451739; 7504309; 408075009; 10481411; 74292520; 747006173; 155794391; 612619410; 242364339; 795031449; 271265863; 827379559; 759365341; 794503485; 308729031; 924636219; 831682905; 132824252; 179956176; 292387844; 945907836; 211902044; 506896220; 192162599; 288497260; 908500796; 607926588; 963885398; 315597984; 494049563; 454462008; 437321629; 873175947; 200142483; 437404520; 925119378; 92051283; 561832924; 782446142; 461384531; 558199564; 594402860; 402201002; 156307356; 638004907; 731912411; 532324848; 186539354; 162472138; 865653607; 613957306; 734426270; 242605294; 708775200; 779255108; 780575404; 874213601; 886138578; 715656599; 418436674; 375892373; 576968504; 18837905; 14295565; 207589159; 437850017; 376276578; 166671335; 826636670; 487924644; 226221935; 906397620; 174988783; 792880388; 206995952; 816055216; 428250773; 817658744; 684993800; 82264763; 831309350; 458138684; 49574207; 270808604; 825151109; 148770538; 648239351; 633278693; 197076205; 518606898; 31609875; 962334258; 824591239; 997100439; 489774508; 951961539; 55532917; 659325538; 176288451; 918122177; 723005631; 253014882; 582037725; 263157487; 3226987; 796837840; 600602947; 440564985; 323683983; 370872857; 385407079; 522181762; 920803915; 964023237; 256516454; 584141566; 740520415; 433128581; 509928724; 308512547; 643674726; 549080964; 280856286; 393373043; 948578721; 698656914; 20219761; 576665457; 875751145; 409713218; 792417128; 269686833; 448714061; 144745134; 648564912; 584178303; 290170274; 144220609; 306987168; 40841974; 430455506; 566729298; 421638541; 778783083; 17289484; 665864060; 536448907; 126696701; 167350399; 266735986; 409472452; 976393432; 805632957; 504865996; 623642531; 742001966; 326660963; 855964451; 561728230; 988533789; 369677775; 761348118; 206908048; 285112917; 121948112; 10216001; 326844419; 371012682; 799016679; 499123420; 44877962; 598595131; 55759500; 51703762; 738088616; 98209656; 724348010; 801684435; 312997755; 192933405; 563251252; 77398632; 799269973; 115590821; 170009480; 2228651; 777714936; 382386619; 405782582; 777244192; 595426642; 916499213; 385705294; 349128092; 928141415; 827376584; 716968143; 603054543; 220710078; 143824763; 254336918; 21548149; 303017596; 532072341; 456543303; 13156810; 693132247; 164645665; 311352402; 438434511; 919757848; 804380068; 831343576; 281023015; 76366074; 881646710; 88084156; 227155845; 113409937; 627831359; 104898819; 103785588; 208051426; 210291855; 858669765; 68193698; 781562175; 194933864; 715413339; 537864664; 426704775; 884411200; 506387794; 538414723; 166925336; 22617916; 899135438; 295979381; 660818380; 259192009; 568165232; 887937943; 889030957; 659348010; 68200141; 638267214; 907878763; 449360680; 619530036; 486146957; 157855016; 113905829; 607392571; 356861554; 388402264; 467556083; 776034722; 528301974; 130837829; 917795250; 412425595; 298454172; 713167038; 844658626; 931759593; 596015297; 820499906; 934172298; 923506507; 935338128; 63807269; 551927209; 299286058; 131227394; 8229835; 940560522; 3897516; 160616183; 524416544; 857250389; 696924628; 190758067; 328678523; 693607113; 564963428; 50942004; 676453069; 344114809; 694022431; 283065256; 319127404; 197135463; 670145776; 884206417; 134301145; 850926874; 440868563; 88579426; 84462250; 364416619; 456465163; 591586491; 19282466; 491689503; 305745803; 227096210; 911057582; 752703061; 608129018; 94112366; 768584995; 924799472; 713539276; 423324057; 460020059; 328595831; 834830060; 482597770; 633175311; 258061666; 331582110; 275220987; 698049269; 937872083; 808084221; 673665839; 48404513; 270077924; 239756875; 795473322; 588518689; 116699213; 406211939; 897031828; 147768788; 268451755; 639755930; 677931542; 441388367; 695919727; 896599985; 79313427; 66418172; 556643467; 564347745; 208554987; 636279106; 826963082; 26550350; 9696371; 901847850; 17434915; 881515122; 500383346; 390089535; 984749798; 396253174; 415759380; 928819511; 972088554; 973904278; 939157909; 463790313; 949992584; 817227006; 453310501; 708966035; 126911614; 142165630; 617832995; 87855895; 157636860; 778557483; 345371634; 683055791; 557601417; 283904673; 16356069; 48070577; 131148008; 456728330; 303395276; 452301947; 334037985; 111029123; 799277775; 485555613; 911878258; 984390555; 925335914; 171133589; 788657196; 405548598; 674442220; 678980086; 517055793; 323572451; 624014070; 18426152; 909431046; 501316087; 448171002; 356807897; 385581497; 452925860; 373569161; 170959943; 739464883; 424322386; 184090522; 518569448; 50247597; 903418550; 631257682; 355273159; 785861341; 655523202; 677360557; 60538226; 71942065; 666553961; 632047299; 296725915; 170136817; 362924295; 900045729; 79227015; 959514907; 625586377; 204409131; 41504955; 920070681; 293610462; 868053309; 587403592; 123251967; 909823035; 722562099; 814085834; 260913298; 315275309; 635325652; 887606574; 591824050; 10866176; 906955383; 980401033; 407159229; 645749207; 287087587; 793280590; 738329457; 951690403; 723874569; 13066007; 191254454; 741302592; 141418861; 309603703; 32593739; 348501916; 446688882; 33767511; 61101429; 875336453; 188295012; 144988141; 259053529; 492472002; 515699210; 214493883; 825974050; 326253045; 649238666; 480881708; 191150855; 762075073; 102431005; 251903274; 143063249; 302665735; 130854181; 321900914; 191588228; 285659786; 927817815; 220041203; 338476609; 821745517; 425303663; 371361971; 698185721; 272180033; 808690858; 948477836; 395978805; 914443234; 411794600; 850922114; 925875669; 495965331; 561805058; 347943614; 926614209; 102974157; 256834507; 216762634; 821215423; 983424837; 22765516; 408606307; 503958400; 245838152; 39206076; 912296663; 373674169; 727157350; 154889862; 826965028; 850552234; 318042387; 76539733; 179953164; 766460899; 600536710; 402671630; 391187694; 446276575; 56226589; 689888919; 674349593; 633491202; 789352215; 787915845; 876168832; 686601409; 837876577; 268798001; 194426204; 540786824; 135135828; 668919576; 76883619; 741633843; 258900908; 563099011; 277110121; 670752324; 467625163; 95054092; 405971679; 308091542; 590842035; 228898769; 811342064; 277242563; 603558661; 190005449; 933646818; 45433685; 176901578; 567104685; 944899241; 549685286; 436015026; 689002326; 23537771; 499029634; 772409148; 151507492; 151831195; 706167332; 657400398; 851557021; 956966565; 674757458; 891160818; 736178081; 475097147; 760027493; 311706286; 232261023; 639073021; 987578543; 984777698; 492143358; 660014671; 637076535; 94909101; 868845893; 307224693; 67978032; 41056226; 159530478; 471890763; 829449685; 697338268; 748560735; 594457962; 697133831; 589748050; 682037935; 946108593; 957332888; 754300983; 358640289; 805186407; 122487671; 294074346; 506861481; 51235197; 703022942; 493306204; 544108656; 20932086; 458066090; 355948060; 860238604; 243390419; 906323866; 800076150; 178303158; 875728275; 509046953; 202730020; 930257467; 497925152; 58373887; 272328322; 523723531; 742075079; 921653268; 370322066; 351159480; 701164570; 185395549; 630859390; 127462678; 29158539; 523984968; 937956737; 358545181; 864582734; 697340465; 459421425; 329438551; 282515394; 642531695; 974865253; 945839808; 164945210; 272220680; 775888674; 521449537; 165054140; 237645948; 332836401; 662464085; 269596546; 991650543; 44392692; 820354118; 916960689; 688669540; 393110117; 941451385; 825025408; 518251613; 138426653; 531194683; 626059836; 118032964; 250684845; 698795988; 308653849; 70340524; 279576665; 587910351; 602087783; 856501595; 916601573; 815623514; 303315105; 256352482; 675645946; 22037997; 578954422; 249247807; 923330071; 791726806; 966052627; 705556781; 983110977; 928759761; 734691552; 132262368; 688188430; 664914958; 235271185; 84337379; 373664096; 601794293; 836096273; 370594369; 936981576; 177766011; 733684281; 189210313; 761804815; 218996981; 844736724; 410150254; 424302996; 288585305; 841056971; 384455570; 787260947; 254687351; 250075244; 317220471; 246365067; 132677641; 531083388; 675669942; 215494017; 578482797; 420714273; 263359972; 683669756; 542127070; 505061250; 289802339; 867018999; 592498814; 334100480; 165891460; 963288539; 281914265; 408655893; 275222917; 729631404; 415893908; 164779455; 584715018; 900483581; 207066285; 831282935; 171395342; 969355168; 972515278; 250691675; 45536958; 11009743; 67537048; 821719062; 21904973; 523395998; 605628861; 261855759; 799438646; 449983643; 771449356; 325407749; 358367578; 309998816; 512460490; 930037931; 495688263; 318284168; 510783652; 142620512; 2867094; 593363550; 925668105; 393009024; 941025756; 301656439; 163852254; 28912643; 158553237; 133201461; 46954060; 689945516; 911523147; 701178538; 270580236; 355407987; 318630677; 337564681; 205086901; 577977055; 540415965; 612178635; 101364512; 891430598; 37699311; 803594803; 554433225; 382760931; 792107028; 742350144; 646413636; 757969103; 262713542; 778523547; 300155584; 607976468; 452203859; 700998071; 76575658; 321148144; 659250130; 847525741; 911188245; 968515642; 345031058; 930559669; 713725423; 304805834; 151362076; 794772152; 927306101; 973483068; 836348661; 554015342; 336743932; 558982094; 743876959; 876121073; 879962923; 835723801; 105652703; 709542582; 284365195; 709446046; 256587421; 723975227; 457760420; 812363053; 932426145; 599981523; 191330384; 998420366; 165460994; 400424269; 540484158; 872483576; 436331635; 356362959; 866098452; 229379060; 51451725; 133945514; 447677920; 770499142; 678192075; 548478470; 526702050; 636267288; 483150326; 790587892; 773590396; 191166688; 858118688; 979223018; 497625795; 855001392; 125748804; 568063716; 854334623; 428730513; 897030034; 971478914; 809497246; 507930181; 221556357; 604926130; 213160079; 7911590; 614295538; 50770494; 371684224; 861306492; 861549264; 696718950; 678889581; 522900739; 812952163; 243625384; 575566153; 896174564; 221601374; 208325253; 116101981; 982602467; 196531346; 113409245; 528046868; 184299619; 975638877; 659795945; 633916421; 325663955; 518255513; 760304175; 914556900; 354467660; 909423416; 512743817; 330770917; 231859342; 226659880; 968620404; 439670840; 57705089; 280621796; 718586638; 874814543; 202059070; 903950529; 766471613; 304881685; 919190292; 163980363; 738272581; 511078708; 813038036; 130100323; 140116400; 34500025; 177004975; 205280710; 848336001; 6474910; 578879877; 676665586; 474422896; 693311722; 726587245; 407466403; 372820996; 646489613; 430931662; 610717070; 69019138; 897420002; 155438116; 688892794; 43855050; 267070466; 88719168; 46434770; 904940428; 806481289; 301617425; 814373108; 978102137; 657721071; 648890928; 902059810; 374682927; 500001187; 583004571; 680660479; 83476396; 952050749; 147142124; 667868984; 657981113; 102671734; 358784078; 406697934; 707360486; 79134085; 604272737; 802224196; 359174134; 905288041; 791473640; 705865359; 590596904; 482590074; 925952674; 249054790; 180335802; 805655799; 746382056; 323052014; 899967149; 32984016; 537312948; 132667091; 834672206; 67723077; 436776631; 720157959; 445584565; 172829630; 342353780; 210551357; 970813894; 476334706; 180353311; 628928452; 602225966; 630556805; 717321883; 392963294; 99908994; 608294323; 444400321; 606894858; 388718499; 645952890; 960802119; 815989760; 611081929; 515344465; 513745265; 478997037; 841229177; 81699563; 759153050; 290183996; 553585503; 258645917; 395561574; 838949038; 699144010; 400097453; 571410236; 742353342; 284590289; 724337428; 639213966; 188625724; 667340156; 905643341; 113801389; 129651186; 466292399; 49327126; 726348983; 580551664; 522575405; 485001534; 32732886; 492505603; 776219900; 413569230; 937198155; 581047538; 862338393; 735628726; 42344845; 650356065; 740921998; 476714290; 280044829; 390324929; 639307692; 277601448; 130490230; 981471572; 445515616; 55039966; 139395400; 992187062; 176428499; 84483977; 373695028; 866137141; 887707339; 972632444; 135577939; 144522927; 45395272; 932859467; 3304288; 596864250; 98607035; 330198971; 589425880; 205294887; 817961346; 898055339; 50025294; 237907481; 754693395; 886319703; 343529901; 358161878; 57883200; 481423241; 744249684; 479802159; 901964104; 26400013; 808880608; 382363714; 753484364; 646117930; 381035115; 562411862; 450448173; 376350285; 734567770; 158001496; 828150606; 191238366; 641198638; 311865738; 623345660; 588807770; 19064924; 860408002; 7215291; 160532920; 404924763; 25558595; 85980775; 641483392; 695974581; 443713208; 711205642; 891325696; 888101740; 652300377; 103451107; 132337129; 27502070; 948014283; 17432707; 631532195; 663291589; 616281819; 919043717; 757543774; 45245528; 302654374; 328556942; 936274297; 176231505; 151888113; 351931047; 364991243; 868237703; 747414509; 954295354; 662728395; 407927180; 701763401; 12120358; 233229959; 966364394; 378388142; 595958622; 855750799; 860593286; 48893470; 359440557; 37816729; 832386225; 659673076; 776627678; 442541449; 363031215; 801506551; 769684159; 375244167; 275585422; 956835861; 720893326; 156903009; 396059299; 445843775; 389052259; 340385495; 34824334; 561486049; 30009939; 372130312; 411525921; 36921145; 53955169; 711368141; 220391230; 782784952; 749903946; 834534156; 364576311; 480528678; 322418017; 645506118; 472648710; 260737466; 872832886; 324645168; 766133278; 925335001; 261580448; 487355484; 395538348; 117930219; 419601748; 475634067; 671184525; 276454446; 78836157; 638263388; 14933760; 533073125; 231288575; 948878832; 521165023; 219182772; 7816096; 58434354; 738294610; 601400928; 502409390; 139330536; 104265080; 760578555; 289141574; 666481811; 477865324; 765546483; 167353989; 281862569; 164836432; 326949968; 992394590; 484755863; 261339860; 884945072; 991226987; 849299889; 103312384; 676566652; 611663090; 500238707; 405924087; 434854045; 375728396; 443188028; 247909028; 681248163; 520568537; 746173706; 871012858; 123196665; 80291871; 231424919; 245773292; 120326785; 483431738; 206735911; 705494418; 258101346; 589081226; 238546689; 724522547; 455866600; 36884090; 208620713; 646876678; 636863122; 919820500; 962138799; 65024136; 938163587; 740764418; 771308598; 804687401; 371488709; 82211194; 996131667; 123631037; 179351493; 157282064; 975598215; 717449574; 814700806; 539394511; 365985310; 756708917; 888967856; 373365499; 305980342; 225348052; 929194678; 610705307; 211098695; 771819106; 263123564; 711998233; 52320014; 595787038; 273241116; 466831716; 385016640; 556643335; 726987307; 746062282; 736406683; 921367943; 785642029; 31326659; 145228692; 415137177; 737999878; 100571572; 178792177; 499739869; 186880494; 596467385; 970655117; 521656287; 462513197; 132620834; 387744314; 238651287; 694175528; 70184414; 519167856; 522521537; 2005858; 218767832; 680742007; 438257374; 76817528; 688452568; 895354733; 918866191; 7318798; 609268671; 186245199; 603551033; 489650150; 840125047; 296496959; 297448780; 242646618; 510733932; 590619730; 667547869; 358480680; 889204903; 623045270; 217094185; 235555929; 742665461; 408497822; 337635002; 965559064; 685412141; 459111378; 885024629; 460239279; 5275609; 167669090; 81206502; 111807514; 506352447; 141729644; 79543454; 417294650; 894618098; 132839841; 767973196; 233992958; 712019970; 100635612; 357774572; 117741945; 864258788; 314356190; 537802534; 686656167; 722712393; 81405732; 518593552; 722854357; 408540965; 254507342; 788627036; 158334603; 443525180; 620505678; 517229011; 809220119; 231034807; 134266248; 313223891; 328809813; 79067639; 300355335; 202040856; 371687074; 581700088; 849877180; 57248930; 791248509; 185817881; 671496747; 203529097; 10908228; 632668273; 434867216; 857392007; 107665785; 591137820; 3457647; 640008124; 656690000; 680937823; 679996340; 856842106; 131105789; 905995003; 73252569; 290244745; 844528600; 473319890; 602018894; 98436196; 264942163; 272478100; 946681686; 54353880; 822008960; 825171091; 137304229; 520827470; 470341839; 742372521; 562173570; 589302737; 22596466; 145674450; 444869534; 130331603; 965804630; 462788376; 593796803; 629873139; 113830036; 138624301; 562385004; 330492632; 274627018; 340715208; 53375996; 616817622; 420492159; 166972126; 980686687; 11864210; 678297785; 811962436; 175046252; 227458614; 667382936; 541147984; 514755933; 130355527; 392069061; 496693252; 733930050; 337945022; 509805981; 848100440; 18761095; 111160059; 737318808; 221722521; 482226709; 181496172; 793850136; 172127868; 751755810; 457577469; 763562719; 540089068; 225930282; 164908279; 39937272; 992340001; 917459431; 237904607; 66472213; 95176975; 562097284; 667616317; 172420928; 184147575; 505315245; 696228224; 647580524; 619570466; 912909519; 331284995; 548924687; 246699567; 564260391; 431793115; 537509031; 5092482; 970987775; 424366246; 560858810; 946022098; 520062930; 749339692; 540877886; 746572627; 114133095; 749392516; 16860316; 810445549; 301546279; 210908134; 972602750; 544317778; 922234798; 763715953; 51793920; 231693922; 699194813; 328712687; 675769966; 770860114; 21887398; 308181865; 113473133; 384811424; 944859136; 597676756; 941259184; 354562037; 962741347; 180379369; 758900544; 806343119; 146666667; 426910382; 532647178; 273309101; 829716007; 882377450; 432108257; 389619105; 234685509; 596005058; 109103774; 45512734; 763657892; 628550407; 377680891; 159883702; 145768788; 473122713; 762276165; 791794601; 496248877; 998262218; 58723405; 441605100; 972663438; 816136569; 961695276; 660726364; 149536649; 974695146; 46248201; 798781321; 982115087; 978781286; 603643482; 502812608; 919781707; 60725272; 387210601; 618470497; 508235175; 573015316; 63599787; 592138958; 500608861; 818917981; 991164358; 830669907; 403706840; 985518779; 626947546; 308275356; 929851297; 328485766; 986034355; 709529008; 545511116; 675471861; 185170364; 68369936; 313645790; 455534672; 537874596; 836721303; 768564597; 971112960; 431213377; 86979324; 69877533; 67043743; 615570859; 162488353; 915923213; 24833089; 737741332; 580491192; 128691197; 380957538; 862869118; 807503123; 355051218; 36031037; 508249730; 4497248; 990922003; 489594474; 327302059; 468795969; 12613873; 183490612; 776918793; 814735371; 888471277; 318111325; 856392012; 703498871; 585142103; 392008124; 643649758; 731378783; 601952208; 314300299; 463033312; 574278617; 123099244; 509136559; 22539099; 13413800; 745656969; 928771153; 394531939; 783924753; 271982955; 834261322; 945961670; 398133718; 291377161; 731914184; 355139025; 441598564; 175150545; 509435909; 906650728; 925837964; 277877668; 816521268; 113311795; 161729781; 792107286; 525434849; 225182811; 986834893; 508659945; 762347912; 890287352; 584048637; 907244699; 118205212; 268103601; 171416042; 79742277; 552115615; 482979511; 593772893; 5068208; 836135129; 422920176; 20050101; 383807519; 419879565; 455943056; 651636323; 758753484; 411395313; 292445010; 704600300; 420861918; 799379751; 449538926; 81295305; 928690853; 722011020; 446697166; 47538366; 858989284; 198063068; 462564550; 183519410; 779940492; 205671995; 895155875; 529054893; 446239514; 199157217; 518257111; 396114126; 68563814; 874921879; 736323592; 441584109; 65732508; 348190076; 326245510; 226414391; 225689536; 148128704; 940827687; 294773386; 379081324; 871315023; 356943149; 133004656; 737776189; 240591746; 11156653; 240973618; 955292202; 294499230; 359599684; 496133300; 833820808; 783928834; 294607360; 736858450; 431169489; 401522594; 463403692; 476888642; 471793753; 606662505; 423636130; 433149478; 136686782; 390296992; 564776675; 418098783; 146889284; 537883423; 305493804; 785934757; 187660481; 930545770; 983250812; 925917079; 513152098; 532050797; 805380179; 908309857; 345686684; 125425291; 266242629; 62889205; 806457212; 945499116; 35879420; 434120915; 682346695; 526255071; 539963819; 596174073; 631654580; 167180270; 730795208; 714868912; 364768101; 309628853; 827484660; 506982923; 791570877; 159532933; 475634968; 172958200; 526137436; 414835473; 593935992; 232124616; 354405078; 730163246; 38665014; 147711594; 356481243; 935325489; 192349232; 130024821; 488412762; 989165625; 977898574; 284523049; 89357299; 237356403; 1527762; 373057482; 345785965; 673141922; 664997469; 9845404; 239495077; 68845102; 357835869; 721149139; 927753384; 172578787; 245734052; 743209878; 417669399; 826515189; 875916799; 824755926; 90763637; 950111811; 415328260; 414756725; 800640977; 680127208; 102774729; 357160509; 338445309; 322849954; 350631204; 157135219; 982150301; 642257214; 214308629; 726715764; 436555339; 561180237; 253118780; 186774497; 631240209; 861612728; 962405460; 310351171; 474040803; 199609960; 57756402; 482733128; 940916274; 127583600; 266065977; 160253772; 966547415; 664172956; 508345748; 997741474; 604685218; 443873540; 318438316; 919802939; 592839954; 831450338; 452756860; 74430138; 764054924; 108425985; 688645583; 736918715; 521394149; 325645175; 374035690; 827944461; 430475951; 179184865; 481158399; 970058432; 93520511; 97257965; 137602799; 748667640; 338327387; 69368916; 151879537; 532321217; 995156585; 605886895; 173454269; 894405403; 275909606; 696258561; 551794779; 134088996; 921268720; 755899823; 670951680; 660248940; 571176837; 318654231; 729244383; 89591999; 76668422; 557667945; 517952584; 693197222; 142054279; 824583944; 339182415; 902197269; 578170545; 517071793; 107756137; 910319728; 108186706; 652517552; 943389504; 679664199; 351134214; 866141506; 695090336; 381582395; 241302379; 512158508; 498921022; 467515942; 516966699; 97958864; 584039673; 92911284; 421915439; 932381060; 227247835; 630256980; 755597990; 300662031; 834880969; 502878425; 878772216; 382464202; 410564427; 882937539; 774035424; 213214061; 955445835; 606560688; 165827270; 118841858; 427876392; 426707812; 285566898; 17592272; 832166691; 848426341; 10485695; 948850914; 669931590; 776991342; 743580684; 125091775; 211311874; 906249638; 67900676; 55538096; 251908071; 592576792; 442510483; 418665084; 59821538; 352956732; 706234830; 402660839; 744793216; 905542122; 182797697; 369020518; 787948633; 720842438; 405663671; 543045805; 252867354; 773087928; 410072448; 888168454; 361539234; 796373583; 460281799; 948544634; 89122264; 171737134; 790003949; 405745833; 646528811; 535999454; 728563231; 47172722; 934568870; 505574159; 499248629; 730208718; 777213835; 160939827; 437210596; 296600448; 475054581; 461567173; 908728238; 706154383; 690270470; 923797952; 654168770; 824801377; 590454439; 324316702; 746059699; 629890079; 148859080; 289153751; 542504294; 853884878; 614867754; 396440219; 47330225; 193068917; 732115039; 85581227; 655192194; 627934413; 620243179; 245329978; 289676684; 127839270; 714073460; 382362263; 742014382; 297125342; 889770224; 920630135; 894601449; 487107235; 354687789; 715960342; 370469297; 732283027; 125082576; 953829476; 997853643; 454594146; 470999420; 378181663; 519186829; 167145679; 988218119; 406512976; 570465032; 141144173; 8314213; 979870996; 173186069; 322376416; 238544927; 460199310; 286894443; 517468391; 117630339; 315988658; 349101085; 364918043; 990873650; 12654796; 488556705; 627482707; 603343210; 460697828; 497388155; 439226955; 814342221; 250171005; 892520764; 855103887; 454432090; 657234319; 207140674; 528561702; 319680754; 130833035; 593665384; 883477392; 968904449; 646557904; 186957500; 684109809; 592870837; 777771883; 776795938; 789660442; 236073132; 349863627; 532213347; 927142953; 643496788; 332154261; 907340648; 782908281; 470654992; 920993589; 847847271; 121873692; 332850311; 338862278; 578878832; 106135192; 571310506; 798057182; 335420646; 619715819; 34820268; 465354077; 223517842; 113369403; 38206018; 815773300; 353944934; 821714651; 535479512; 138563145; 997699381; 143316945; 787507188; 758688684; 493805656; 729220263; 39906807; 970813322; 733748031; 341646503; 471093151; 292451775; 188349683; 736618190; 464505831; 389625868; 625361156; 991443089; 878151510; 55888442; 594152939; 12494394; 339373325; 958238469; 357084495; 541280896; 556350947; 865290887; 660898378; 890066179; 637263677; 862889353; 890820908; 599086340; 394909081; 273747662; 446477613; 889416404; 653482764; 874938425; 115291359; 58732885; 533469315; 845346093; 310247608; 151972838; 355275116; 583381789; 201815586; 693824831; 220353018; 25968025; 157346556; 568993587; 745767988; 232416049; 664894252; 423906825; 751886640; 658681857; 579195005; 170490400; 838846573; 205966259; 278316866; 939319474; 773795755; 117211327; 446302078; 719363665; 111195129; 108951313; 975780548; 997663798; 596688878; 186611091; 527306372; 950529752; 275895953; 53409520; 890970779; 618243460; 200925466; 536279771; 997873588; 187702893; 861936503; 997488926; 246271163; 599166785; 786380875; 802187158; 470812596; 470567163; 430011078; 808624719; 940715203; 95160261; 774261935; 494215562; 665245754; 289552077; 128092541; 938645517; 749823126; 309402520; 227027475; 894768091; 120245482; 839935764; 721698797; 165846899; 96538926; 897092232; 58377861; 854437709; 734047029; 54134707; 241154724; 739668748; 672913792; 478958172; 229884339; 706416642; 219066762; 987781653; 166133913; 209825807; 697715994; 330779143; 547627419; 704444116; 152044971; 754197169; 214086460; 871917310; 274437444; 410004769; 214828452; 895936299; 649942205; 778398893; 411566421; 654401003; 887756481; 952211613; 272426064; 739438646; 864260045; 395060153; 651949643; 975774067; 648771106; 395611592; 609966369; 871801698; 778167750; 916317463; 512011068; 666109481; 907972724; 11768846; 553132196; 550624824; 198957339; 425252375; 35595768; 577997037; 725911448; 693563862; 4937500; 217323776; 783574472; 581035139; 697595682; 541928388; 207331809; 10528246; 816036631; 258632450; 36189794; 205269194; 604048001; 284862093; 121100828; 739846682; 883391181; 642894820; 669783298; 227374927; 918462784; 696525062; 409548938; 27397397; 524570189; 330278584; 69438076; 774720248; 190321577; 744040611; 739490484; 903941854; 854955435; 582335013; 214135089; 104040531; 5259239; 770918722; 478552077; 611592488; 210109870; 127206871; 655958553; 585914036; 634870727; 740693186; 459438391; 615806311; 317352958; 906714971; 472600376; 214328363; 901165102; 246550359; 495070362; 491992279; 846202946; 266907329; 828421802; 818737528; 952886501; 189269502; 896928831; 78344931; 551986206; 453316774; 346665261; 797451291; 395231582; 260670970; 883055220; 774812666; 627056990; 686018843; 173843287; 142297782; 603805165; 923471312; 527338922; 986850229; 645773593; 462806468; 366711049; 858404732; 666246775; 19728500; 294911667; 149831492; 351382310; 669751995; 186997274; 766824519; 72249024; 44430075; 541375988; 949432299; 421180942; 872378599; 852716712; 477806186; 303201264; 450189522; 180176349; 617860906; 269029013; 807272582; 109078354; 549804112; 504483761; 570220036; 961246351; 95140550; 521457389; 936128962; 678132915; 432014259; 840953601; 304212276; 28316936; 983680213; 715789277; 991105077; 785147537; 419999752; 250345589; 722605857; 628411635; 627622318; 37703820; 196082842; 818863697; 120001885; 172838216; 180400384; 195249769; 658073595; 189541805; 973996132; 465349113; 966926666; 681566038; 562364524; 279661709; 993903829; 502226901; 525158704; 180172612; 731044762; 491604204; 9733311; 160829924; 382645562; 673690856; 256056606; 865875092; 704435027; 316220615; 437576362; 178235074; 876840393; 474872524; 230140121; 180873059; 14121867; 11044191; 125982327; 111080628; 830931203; 346654760; 381636351; 182088576; 939211120; 383740565; 955571578; 952435280; 536286369; 139192642; 541100978; 902873727; 866002586; 359274987; 914634977; 151081015; 407103355; 261833189; 629620720; 665719100; 998463848; 181325618; 872779980; 867829061; 422441638; 495725118; 592032780; 417970460; 579928173; 877817931; 106290997; 717269259; 58900671; 817418104; 640380163; 567698976; 437298919; 859490629; 197598389; 523660651; 222472653; 612611145; 271865376; 693853853; 208104193; 156108307; 893739819; 67998836; 431898785; 963230558; 550080832; 457933133; 471825027; 563964247; 967407438; 658896042; 488310086; 983488917; 683191107; 190417544; 87324813; 57241675; 226741342; 12523918; 756559064; 395024800; 429208749; 52913037; 503797309; 17879225; 354032587; 359914191; 598191715; 583338074; 85104603; 836253297; 555151306; 178505156; 27405871; 473720620; 475452424; 535930132; 613348063; 812280582; 436480941; 564624032; 35462251; 928753687; 682999495; 502946546; 300705276; 91933735; 194048327; 43741771; 465567751; 297755975; 729761980; 782762318; 634039038; 233419873; 858630959; 461863856; 354375560; 224080945; 681538862; 141580372; 951561499; 807826395; 395103570; 582544384; 354794434; 784275095; 938822298; 890183321; 847073222; 852285850; 760197151; 994335122; 307821300; 867574159; 25033177; 330790694; 252964; 229801110; 653647795; 665888536; 726104709; 528544429; 979057446; 228588398; 120373773; 935331104; 520646510; 949894265; 176545213; 501395480; 588029964; 45041616; 969672256; 986313592; 96621476; 807171205; 599046826; 492871089; 475801315; 867010667; 301250337; 158944538; 939039233; 866027003; 323942634; 95505376; 867207722; 589580336; 424295263; 419535757; 169073176; 558294184; 256464261; 820852558; 48074509; 941350327; 719175369; 958584502; 79571628; 573363434; 673003058; 896671424; 341127484; 500237726; 550658291; 724734946; 778747581; 324791692; 914014994; 19034269; 516628774; 464399592; 101548733; 678702314; 796487595; 480099257; 817185108; 544518124; 539625709; 179953146; 768581955; 921985621; 565873045; 145973515; 551707100; 440641639; 67102758; 376529953; 994072568; 672757942; 165144321; 247230159; 319740056; 901370681; 549904836; 512221415; 234924409; 960394843; 231057882; 257924299; 760585219; 874538056; 318818325; 484671725; 188430217; 16383767; 374829728; 13994853; 714106481; 852568786; 549043724; 462491242; 218596678; 216563368; 754994128; 288992621; 335176735; 603469568; 900906633; 859908452; 726452161; 690766078; 690623844; 3948411; 262217984; 211791453; 230830478; 328037297; 371781464; 298281271; 526469479; 464900742; 898678115; 525921895; 875706489; 571867960; 809757355; 640392801; 314182298; 408264483; 709739868; 272625843; 804220068; 997829449; 820667808; 984975374; 434094896; 472843342; 988246858; 391824861; 942211323; 962949687; 609588325; 464205437; 159089412; 497778439; 150595707; 801298767; 379488945; 433605679; 181123815; 401563763; 664164585; 124955801; 919193945; 986232291; 961626928; 152728533; 102282651; 507765658; 94169795; 929683763; 659437654; 405719841; 931028985; 19690189; 350954787; 599495668; 523495309; 211663620; 376290070; 967172594; 938885688; 625692791; 551453640; 95458749; 331237285; 779413563; 102917623; 471574875; 2990259; 994346371; 950877142; 684969702; 590754569; 809556027; 944601190; 723121467; 732327085; 261683588; 298568299; 733176961; 180637927; 388881275; 652410463; 196052455; 394881676; 12409119; 546500116; 429695008; 84930751; 398810167; 672366618; 109294807; 758703386; 291691830; 779401424; 534995317; 861826117; 235394545; 115705260; 935581145; 692060362; 471005276; 833513897; 92224663; 942919201; 846986509; 858722058; 853214023; 20288554; 896909347; 705814227; 644941594; 501149299; 139942743; 918974085; 941879232; 907738629; 381885920; 936949593; 789623534; 831859236; 844461341; 244128135; 777521232; 392369366; 519717987; 196334833; 654043504; 800316207; 381708954; 408502590; 364760741; 295798822; 471704797; 157224673; 395988323; 52785729; 947755677; 207435779; 721988696; 517858146; 981443381; 967816489; 771388873; 168961272; 813931488; 798892198; 145383069; 549099626; 368304867; 685290692; 548812448; 346431389; 327340608; 195470042; 501823481; 720978970; 53003467; 188990822; 67661121; 995352031; 871792734; 558813346; 292858488; 897358336; 388871295; 715908016; 955842869; 42133877; 848011477; 598437631; 472523095; 935212530; 835856962; 761930488; 425755983; 9681735; 945728646; 624857960; 876623440; 297924908; 141609281; 305202769; 783074460; 592483743; 483650675; 937134075; 929529045; 453049415; 332716547; 25891933; 43298149; 620189402; 740182449; 804203390; 961154528; 485205369; 543414088; 911961502; 384008312; 636079646; 860103778; 268879414; 196047970; 532726830; 172773709; 709103162; 383189862; 130184298; 608583098; 941799322; 55139063; 37863988; 542154321; 825326096; 491983144; 692907788; 993944855; 871788197; 519285221; 934486987; 549449865; 4136852; 662737433; 494628227; 336108695; 681379274; 215548536; 971637643; 653171883; 500888915; 156376863; 833319174; 901418676; 124658927; 890058062; 681677509; 49856722; 109878491; 146473580; 988813651; 502367556; 710549523; 173844269; 565962839; 508734931; 656755234; 61285755; 449760921; 58444106; 834322306; 940832309; 674443005; 506473316; 148902852; 219085746; 101005201; 851116813; 76998774; 159569609; 172637413; 346744429; 288354669; 737034367; 795616791; 660786867; 946349502; 469048460; 924167714; 633339066; 672676287; 583537173; 46853181; 436623825; 381270508; 981342049; 552166197; 216744960; 49924696; 821442705; 91565010; 818880137; 749544345; 6383306; 805383169; 36380130; 552742605; 665308867; 889021708; 320737691; 984907707; 989295754; 712399271; 966922214; 651618501; 760600576; 237790158; 541480644; 352873768; 212185443; 856638777; 731997101; 87243773; 363863470; 317091219; 868823383; 22041901; 776412125; 866381354; 954261885; 925067148; 76869787; 145671420; 871346165; 44628787; 184775451; 209128476; 970342343; 505298592; 891518382; 437767620; 425395266; 573576230; 445213238; 338394821; 493976750; 840066155; 191063403; 424038545; 823052804; 715153154; 60456180; 688565747; 109490869; 997141523; 100854523; 722908753; 545031224; 780775759; 801197772; 890615662; 489644866; 949703683; 888629689; 592122628; 613528642; 308896844; 531845230; 452357088; 836630425; 118629843; 427925568; 745084968; 852691336; 555071334; 978013444; 483774537; 487160899; 868906818; 142050346; 341462793; 351128587; 323290699; 306523382; 208828127; 185375249; 862042214; 125334925; 877453024; 310587611; 583690444; 43994531; 30838351; 973710608; 93936280; 65494224; 3059885; 549639664; 947295929; 927061134; 482091306; 337345301; 386979688; 417058477; 250988759; 683397464; 873979134; 140318905; 33763854; 465597417; 717122705; 185107928; 50901857; 639268474; 637173356; 937258188; 16477705; 455804326; 380687028; 36424122; 331699849; 926817318; 25695671; 744359055; 680960917; 608377789; 319923038; 194026819; 715230264; 103545495; 36101888; 173932070; 376050809; 780598189; 656912696; 242981346; 614656577; 473697773; 523181652; 112677835; 702589236; 162765979; 159950981; 700608055; 811710652; 741812727; 562652964; 155836630; 711650664; 726208376; 307306791; 381398893; 469695914; 453779125; 782779644; 779947304; 561386081; 563659010; 467524582; 349788050; 170778200; 4798427; 70060982; 827058942; 549783419; 843405480; 597589910; 758510542; 729927733; 983758977; 608240097; 368453686; 398547407; 652349651; 138514395; 280901268; 998194101; 306671114; 237518443; 80603323; 64722467; 189117823; 74056010; 866272455; 57054978; 174427826; 376469395; 366106917; 414626613; 936557367; 779780365; 72767552; 215732257; 356031807; 431284292; 430455360; 231451542; 832888694; 650609490; 609818692; 549688365; 19463480; 847723999; 525224611; 247519092; 862926659; 105574295; 889755444; 540676380; 617771682; 211357184; 205732607; 457504712; 260717587; 889434271; 205709759; 344441039; 129472903; 133437551; 847553136; 147089818; 704646622; 718128711; 588113305; 470295204; 378923226; 837622064; 160341370; 883110304; 956199565; 863899603; 386961488; 364735922; 856703585; 699280985; 340839047; 287812156; 50068143; 25493241; 953450383; 526351344; 617855218; 677721453; 56794912; 131088625; 917961701; 528390797; 688848881; 555199129; 707701594; 13455631; 963468477; 97831921; 99289752; 677352202; 650025640; 491151110; 278048345; 851649542; 3107482; 295348994; 125928009; 678213983; 180328979; 293999008; 377506103; 941109334; 927003839; 151861142; 628873225; 304412041; 815208724; 767090152; 2474284; 243670433; 336216048; 861487777; 414176903; 419940991; 378185616; 657160804; 562336874; 420523131; 316932479; 276796562; 993692444; 894531252; 145796408; 897773896; 208681567; 129196062; 632092606; 284308825; 917716509; 480071796; 418240530; 859573468; 524332371; 143112615; 980193191; 654005800; 444761733; 427093389; 492974617; 348294626; 859616637; 817169978; 617817979; 811887444; 428027005; 849967980; 884838188; 42929348; 582820864; 506079404; 143304826; 49296127; 844058675; 260262069; 843482654; 767629508; 819763012; 201542778; 363644238; 141997309; 774549031; 72990924; 116492822; 10320265; 366920074; 344871228; 130564507; 329504388; 458310793; 642742244; 726827596; 682059533; 841348957; 780434704; 687388347; 360585267; 773623453; 430355228; 187438488; 264499845; 624065369; 848474908; 371850479; 696815207; 182411318; 317182729; 284470722; 379249476; 630959884; 32012846; 500462613; 584258606; 264462129; 422237347; 655691211; 421785122; 136121803; 720820779; 782006883; 99888898; 260525395; 719634253; 390044503; 430222316; 363457715; 370375745; 110098847; 671030135; 342300088; 18528258; 942360912; 884526208; 190492382; 836003864; 302244646; 865833473; 145228817; 910899179; 22744425; 269519121; 664379403; 904804063; 249620618; 75687839; 843520966; 897303851; 264141553; 142510450; 917225300; 233402874; 329995862; 963004055; 204520942; 578037147; 815739174; 433493933; 911900922; 654327418; 275027410; 254258158; 724002985; 737528494; 811491196; 797984038; 126132856; 96234813; 473972539; 316901348; 337120643; 520582520; 41603988; 774078059; 331587006; 348582689; 699473440; 752141438; 712906850; 237644881; 142750714; 527777006; 671723505; 765530950; 953169370; 773189990; 825256070; 527368982; 122951971; 941756132; 509167698; 160485394; 936979955; 771645485; 391931163; 63299770; 556585023; 229996205; 52988186; 839997818; 512390062; 341261872; 863979062; 538434329; 497622200; 914496046; 614670183; 777499037; 85139886; 799488085; 52079430; 578890090; 324125936; 739187816; 254937749; 986143171; 844910916; 83315336; 712712020; 221127749; 51366867; 373281186; 964189859; 231016679; 778424169; 384316069; 424359574; 936045006; 848616460; 439421270; 763090471; 604842303; 363431762; 593796959; 402591654; 396762957; 213878019; 799351813; 509303809; 584983380; 331924603; 169401937; 222619905; 559630831; 428165382; 299957767; 34645508; 20128900; 68282382; 353416168; 837548468; 181498752; 476282713; 116959082; 902249785; 8631364; 992111516; 82785477; 957530330; 823898854; 520318089; 278185450; 98295329; 80023269; 26609638; 202668990; 55603010; 858851965; 260801570; 550334361; 936257933; 248344387; 714497033; 353396804; 385117010; 817156054; 770763601; 603701401; 549164984; 954218086; 229764223; 493760926; 593185711; 232587355; 182759259; 727195346; 214543738; 250597143; 506022558; 440880148; 374212279; 356418379; 609598688; 815045745; 900495814; 132359135; 68320377; 36710695; 799619518; 494630134; 5738574; 162387505; 49157946; 545896461; 74357794; 257705681; 513501848; 565034013; 584084359; 748979883; 62330496; 101222542; 424976340; 884783876; 76361503; 259929118; 677008362; 926837112; 580999288; 859217496; 229137028; 652600882; 122319421; 268563734; 469597034; 590418710; 151882749; 308664931; 99731046; 505788486; 556986742; 714325422; 190502551; 608150650; 634601220; 589167605; 189202151; 994649860; 380999955; 954431847; 403276848; 413842015; 972021025; 832419937; 575204643; 26067307; 888102767; 139456010; 525678981; 121571568; 144193895; 906225997; 260385839; 844198581; 745844384; 826564854; 919329275; 582131740; 224250162; 745932159; 84219221; 42846950; 486651629; 426018424; 124464468; 432805501; 79924687; 501804460; 586591774; 344808066; 147151415; 572498893; 108863255; 147357739; 14366754; 601802277; 796895212; 914905525; 841506017; 293747645; 35373934; 376123163; 95217170; 308437615; 783503681; 998162965; 190980836; 641266167; 852280182; 966931394; 309258747; 695453846; 287652140; 223858212; 992209630; 94147104; 361441952; 22605574; 438323800; 400281101; 802606360; 376793343; 958379093; 927558480; 535868973; 329557549; 801872412; 38150049; 195003594; 916630083; 286466150; 737390892; 606641354; 426585630; 565985347; 973108567; 781356356; 962670911; 827600663; 67331812; 861836194; 228739495; 468172255; 311896983; 597461665; 488068311; 809403629; 988410607; 720096800; 442082264; 656228184; 99358845; 832025788; 376492407; 422228584; 396643070; 871679345; 697614674; 645517781; 787225508; 126111790; 653809576; 250475332; 127473135; 859116742; 948540187; 135012986; 833323750; 397988628; 161893085; 281491662; 804642097; 598457249; 822335046; 605933812; 633197134; 341502307; 956716904; 796842750; 565770801; 826128462; 95802285; 309096821; 972342455; 129161982; 101161909; 672986238; 691812761; 200725169; 411954294; 863514649; 28880886; 114645038; 703796868; 549348441; 365672409; 471706037; 228006082; 486667973; 550654979; 735987513; 395420032; 789205378; 161588703; 619884215; 738419330; 207368072; 157505286; 425590061; 957343174; 788938; 81456874; 419409209; 139954056; 97447982; 499537342; 261101738; 723250597; 17696619; 12680933; 326469800; 388396407; 446876457; 916192588; 821200177; 458448645; 840617926; 50455332; 354589093; 493979499; 144694805; 861876947; 520300929; 340875484; 381047745; 596528919; 485306352; 139275449; 423724393; 861508975; 833733028; 889676073; 879561657; 846196580; 722047162; 805016700; 839980764; 257075054; 775394094; 618343924; 188470059; 844108754; 649570433; 674593535; 586700846; 258535941; 325435871; 423533607; 399142853; 874790175; 948835757; 399442623; 434093995; 926431647; 564065432; 70254189; 370557007; 948726596; 703544544; 725446729; 340351407; 734053213; 476640420; 904274215; 480952631; 595979028; 615412581; 711144110; 187467392; 700723780; 153707502; 895233753; 653328063; 849338549; 138808446; 689824497; 455995867; 110694636; 468355011; 427544718; 947242223; 447366106; 130029087; 183620828; 435276061; 342612835; 556060591; 548123850; 227942832; 261492794; 231526572; 382854050; 852389611; 726153043; 184686820; 869838656; 162577538; 802855948; 738745671; 550407781; 511825640; 840193591; 503626172; 789066659; 994023357; 937883637; 433463109; 645936087; 291366906; 783520790; 74270484; 872590262; 813937277; 517592880; 692567856; 536926783; 721029924; 27483453; 196955855; 452524233; 431853363; 592280476; 265460841; 721300733; 700931361; 914001146; 404598740; 861410849; 186515822; 153627537; 38107317; 420148217; 827778972; 35326955; 448851653; 571974484; 727137578; 190896949; 364974602; 689262244; 777971518; 801973584; 17447993; 23684652; 271612881; 418083423; 726280579; 842912709; 565422649; 255804624; 187928002; 917595447; 865306980; 983108208; 704760819; 909968513; 476819294; 67774625; 448482247; 406396398; 806953688; 603544857; 388456644; 308737065; 581572923; 517441962; 445764545; 423264982; 323027899; 319134817; 339235596; 180226258; 159888800; 743480173; 542243203; 527574816; 769906810; 623750967; 389691637; 702127127; 517334467; 571722997; 723164669; 367778949; 820809271; 443964397; 522681718; 283609211; 972805771; 661626676; 555369976; 769151358; 146916022; 653959841; 12015911; 803910786; 653777218; 736444695; 146685274; 66263252; 577224202; 662245917; 786425611; 97939941; 278258589; 182954927; 18715589; 162725601; 155042315; 82310641; 151374829; 863401897; 981634624; 553317149; 519299408; 667284536; 98212715; 631135724; 298127538; 477714296; 521442947; 199753889; 356712791; 671669564; 859887468; 670507452; 721153508; 902488555; 281847599; 938831552; 876253231; 250253351; 387291702; 722559024; 876937601; 420741590; 955651913; 372644066; 532134521; 788351027; 720982454; 130677215; 109410504; 508826207; 353260498; 768011614; 213014952; 903377297; 447432676; 251523640; 958564178; 307430205; 824279056; 714737156; 496845458; 954002795; 770108817; 540905437; 784952696; 529652935; 881489397; 887133983; 123074812; 863516928; 110735561; 29989082; 191361343; 47783934; 412487538; 261055180; 388773056; 831107117; 376121253; 147287402; 760042206; 375219033; 216089443; 224946496; 315405637; 616760797; 964243871; 622690833; 605885570; 739258270; 3930110; 334837781; 802932159; 842989391; 833622698; 293594133; 20287036; 391639640; 665600725; 359923715; 604204048; 168393254; 123861860; 535219963; 841746944; 824935565; 369317863; 662866662; 110136628; 532413379; 166737499; 509307705; 963317816; 470058354; 227197367; 759725090; 646207068; 64904471; 187636757; 671496799; 327041288; 221345116; 574182298; 992331287; 749797790; 52442070; 195573730; 176004801; 404654772; 484934916; 752177285; 687539380; 536449354; 99964167; 538042143; 600593653; 624206249; 843251481; 667125250; 456858280; 858647288; 543837960; 941373583; 504012598; 939245967; 845227356; 620577375; 470174870; 642485268; 260431968; 75697703; 265392296; 137634893; 200386975; 981992598; 673936139; 84448399; 296639284; 325065381; 91526006; 759633842; 350866379; 175727528; 511927278; 949695302; 523872457; 675612590; 950747029; 287536676; 317031973; 242401952; 142082045; 470213641; 658133990; 411420987; 597566633; 116157837; 400075732; 869804688; 282920082; 86779910; 345256875; 294931689; 230041975; 489296457; 507276130; 209263102; 546005937; 384231392; 490042551; 393191006; 770263007; 855322551; 944684031; 992651471; 958002714; 545058638; 631453321; 749608603; 530857658; 510359078; 104988700; 616364300; 421457600; 177569433; 231439643; 925839259; 674552087; 346749470; 163689591; 28255657; 924685811; 520927990; 249026079; 854322762; 113194213; 390314545; 582924153; 138614392; 159687754; 478913799; 633543241; 198839467; 795615262; 831290843; 61355001; 863709214; 382434826; 755954744; 32098311; 600525031; 518538621; 872820188; 573257189; 708383150; 648444315; 167648458; 428416290; 590500629; 857710063; 671088856; 845575655; 579032221; 509874410; 237818213; 971497660; 106069459; 491136313; 162112187; 773150942; 633878989; 72861605; 260439158; 644478135; 348164382; 472355008; 440044106; 536599941; 918639187; 137275782; 197295365; 181818045; 49974107; 324194603; 890462736; 375509986; 359963750; 327678415; 310572219; 721213250; 541130480; 781862989; 873319827; 204385268; 753811477; 368057894; 155654069; 152204768; 776118664; 605027847; 97684496; 478753959; 886807790; 506010449; 718653618; 510379861; 245033329; 619441329; 558213597; 288276221; 184073514; 673066840; 25003614; 546121331; 821555119; 913528783; 655214908; 999119221; 452741779; 74286160; 437258386; 812724685; 672301546; 429163287; 558216042; 320245987; 567006544; 349939067; 140622042; 798631477; 94093233; 355985362; 479009390; 913958702; 424386897; 514171340; 740175870; 679049514; 738354630; 700965574; 328225497; 872369797; 124920074; 659699380; 19741898; 176524296; 810970903; 589356117; 482661217; 105305244; 746566901; 789469440; 677706042; 194890281; 253528370; 397859137; 770080761; 236334065; 87948780; 99206944; 722161690; 897947100; 240769076; 598835286; 600921808; 238244315; 872557392; 483424546; 596154945; 675606989; 628370739; 529572462; 23699032; 652857066; 336137559; 359768599; 499057424; 934946367; 960779913; 528437328; 897308609; 734105908; 366963058; 433849598; 422068143; 973174747; 807166647; 311646721; 131692434; 126981280; 117469648; 702585623; 312063105; 950598783; 436053434; 553680247; 991777645; 781768666; 357847954; 861331217; 765639204; 769123620; 72584091; 268948840; 147658171; 439073692; 41103978; 64227160; 403969730; 46089518; 181999348; 388227680; 745583308; 933660977; 755735818; 4934025; 936389697; 234270892; 38682384; 645849153; 104101994; 274682751; 241354347; 763819314; 395351573; 591458719; 963607725; 655774111; 868801530; 349477037; 674217147; 882427429; 812742007; 91411120; 56043224; 464914548; 1217781; 391567808; 399848482; 996798040; 32019349; 625182146; 350440573; 459952144; 688897311; 348287771; 904348592; 921105239; 434965027; 148993771; 977813688; 613236453; 455752469; 932400122; 939358943; 694058769; 846062183; 33002098; 796353925; 703485451; 520003614; 82660090; 600657664; 320283740; 843184092; 458604141; 340574707; 63070898; 269261813; 272535906; 107613807; 778371093; 97827903; 311892346; 580174851; 45805994; 472021231; 709361944; 189442939; 491232893; 205639899; 386693013; 576740612; 655916612; 237590830; 196887617; 853949232; 785206377; 669571297; 233943219; 448392670; 222818691; 243953454; 52688383; 693709636; 776288967; 395486042; 533916635; 175065613; 47289139; 785826033; 746838142; 816505585; 227376558; 106508825; 86981736; 814988754; 722453464; 666497236; 8616033; 463514351; 287803623; 427908485; 208754762; 356147891; 377209810; 442206377; 565961933; 692427023; 395522831; 223996557; 41841748; 893250781; 748689284; 360609640; 187154855; 221657012; 36202516; 156562165; 429607806; 934696684; 956335906; 331578738; 581678078; 837907858; 747688550; 687032364; 498408054; 366099882; 777559421; 36577525; 464181836; 258039807; 337526388; 357227151; 138911815; 639834153; 972331785; 951319795; 147282623; 631873378; 199399763; 693399772; 216268970; 123725999; 397039078; 713815395; 813468150; 128537007; 67004187; 592812887; 956169828; 418820158; 840274031; 315199380; 15409495; 161428486; 995586748; 140654002; 890010959; 321572424; 518185008; 991271088; 900698211; 84164148; 553509310; 985762974; 711862704; 553138546; 805625916; 268740984; 78338468; 912716700; 486627123; 839703200; 454630664; 915141867; 361582583; 351099484; 322112376; 207395083; 103882974; 47321378; 781780617; 450713808; 983538285; 430886614; 17573966; 302051260; 450329092; 413205741; 824158352; 443254903; 155710340; 402979476; 817411605; 766802637; 3615041; 416499992; 598212441; 970011273; 233771460; 159084754; 151790844; 222270775; 400925162; 169208563; 545824114; 696850537; 152430797; 198526869; 144024571; 654635592; 982179450; 555576709; 42081818; 542937451; 909268422; 413317282; 677889967; 461464035; 566607698; 734068264; 186216802; 87930066; 916286730; 798180568; 30687978; 419017240; 824184796; 558886031; 714010688; 544323989; 75921; 264321272; 224769730; 107516097; 403374198; 964087924; 565274970; 313674231; 209532809; 918911287; 11445835; 23497918; 582725718; 574917712; 425085520; 965246209; 893871358; 591235575; 545443491; 914922636; 825202818; 427644876; 923776310; 601619990; 90556112; 647865051; 738104114; 729020864; 750133899; 126654449; 658829179; 753586045; 511030065; 726974439; 293328315; 25532456; 392648458; 499944451; 176497898; 544559414; 209855279; 282481319; 120944895; 263471012; 780300258; 363956265; 339025476; 99930725; 591066286; 790053093; 725428817; 401202144; 481723305; 254668562; 454386553; 604517657; 797101384; 428664915; 145954969; 360052720; 624880596; 609091624; 756877828; 70659939; 390864773; 483097318; 492669960; 53553364; 951404996; 37903909; 184143179; 933767806; 735644415; 99139295; 258845402; 351063895; 322464119; 326347579; 66574353; 588891707; 295424150; 209869761; 288600076; 174718425; 360744371; 72787955; 822612263; 771774099; 589109822; 267458153; 370285106; 842358212; 84621455; 527670450; 690625586; 343761171; 640996344; 79927790; 39866247; 863014698; 269214881; 278344691; 475025301; 137643283; 251653003; 740022409; 679818796; 134373413; 714503249; 478220456; 982257749; 688013831; 307420480; 32220480; 676725343; 204137465; 17791316; 201252906; 450152503; 265924519; 930466191; 678144207; 821950395; 230037509; 249217604; 314243789; 724276252; 922733191; 34065719; 466171322; 990571552; 459590307; 507855700; 81785234; 748192332; 861669612; 88486170; 796656296; 819085914; 728824036; 382069167; 613357411; 297358967; 544407691; 149158740; 291161742; 427760134; 517664856; 973333287; 956389269; 836238650; 824134076; 672994535; 492718643; 832839074; 32311145; 529751691; 814623194; 560352474; 356476393; 187721119; 458664436; 132689958; 118782274; 151222498; 551131605; 154817210; 432037914; 336333494; 688348507; 628533305; 373002926; 108114153; 295987957; 816504251; 964029366; 396316526; 427848532; 343756867; 875931463; 368614870; 425407799; 798541614; 448175878; 808622055; 6261405; 463936176; 715212044; 741668416; 662524720; 867534735; 392914339; 237627203; 870357035; 64539771; 558634677; 609564009; 350228661; 885103561; 825348228; 467557135; 273685866; 905078010; 387131968; 129883344; 154429411; 990802367; 499244034; 170780505; 29414727; 621689603; 277739329; 75534186; 624527703; 95916895; 515419177; 354064108; 805069009; 220195063; 67735268; 112523415; 922407073; 592361810; 374737716; 501167281; 697513369; 648299447; 180070958; 377412146; 962150069; 593107727; 116873117; 210157670; 804552617; 506047513; 578565229; 935630550; 912995536; 382797115; 183992634; 328359363; 685854195; 825252117; 850800045; 811468792; 812790678; 908910868; 506843680; 356065096; 239427724; 711571395; 583582385; 715453746; 904073257; 225496985; 767367741; 228803714; 499805592; 378580287; 345934695; 876096795; 204353121; 430907784; 783193701; 272289680; 631276965; 437085087; 410026256; 237748274; 842246934; 105255443; 152472313; 299100931; 363125357; 116935302; 6736630; 265080445; 6505868; 355054357; 713687872; 519153898; 57499428; 125704193; 707855665; 376449618; 66552371; 256199280; 287728803; 617904417; 85505749; 220164699; 542097359; 111679398; 278607329; 546644586; 134907096; 739172351; 604823266; 312562383; 910426043; 245324188; 332699775; 907252473; 296082014; 884002653; 915961653; 395359228; 745945522; 439259935; 632654648; 137902452; 350906026; 627102832; 66649423; 999298178; 453030555; 573887402; 715005957; 25982503; 591598335; 594612139; 557483521; 547730269; 485666592; 920843799; 358774395; 330263123; 769731487; 316446525; 481409930; 763013270; 925371204; 981028867; 164841236; 642528237; 425772449; 500332086; 597729612; 714430737; 883277778; 612213198; 314943190; 282209849; 12388557; 515250598; 139702693; 39059054; 762287529; 164696574; 554882576; 896192996; 99334758; 781556853; 91297158; 823443818; 668876709; 965895794; 611828703; 618247683; 117722137; 932383541; 942272978; 479960950; 882203269; 770173842; 873675823; 295969305; 400110068; 466210161; 568107042; 839524169; 228336; 100621009; 214801639; 612538659; 90078913; 929644239; 64315854; 710593123; 709370185; 532124911; 907943139; 458696722; 140112296; 229030223; 400699683; 24752364; 403013480; 364488938; 972951774; 295936097; 741791737; 181560610; 226729072; 27753805; 720311269; 117705850; 63768219; 380541073; 538276187; 533825662; 477238854; 460913851; 373852699; 291777784; 274910063; 793843200; 69765839; 880338808; 835453180; 891474859; 890652668; 929034213; 162580621; 947834921; 507135076; 154946964; 170811912; 706203180; 538421717; 843925244; 294192447; 768253911; 241972689; 497436004; 29200409; 980725397; 124277108; 157858142; 729182395; 515961809; 323678170; 532244903; 684374103; 135249258; 13649967; 935133118; 322801801; 811400550; 651258807; 502170439; 562602754; 439189458; 70975474; 513109917; 882728293; 490755878; 397773986; 849924468; 234796071; 628914932; 986012934; 418911290; 216210511; 460710630; 249516190; 35673358; 79010543; 151841084; 611259786; 169276481; 13333292; 809762781; 419966533; 694106731; 814417970; 603611899; 150468244; 78696099; 163822650; 845574316; 720412345; 353302483; 217634688; 630702260; 199250109; 364050889; 268529835; 654844258; 318989699; 48154229; 84843538; 298623644; 78503435; 735713568; 344569278; 919420997; 597778066; 133346338; 95974336; 807822601; 739348622; 249968053; 879057969; 981370738; 750605252; 621112330; 695745958; 603712474; 355611867; 899165510; 298961875; 772413497; 893020872; 338184728; 398971757; 827687159; 818788663; 865756594; 573749550; 194819840; 301966842; 766127204; 385844795; 42108248; 547080955; 614218136; 147305042; 543294153; 280615684; 600107625; 955334847; 81887934; 2747919; 654795877; 470778732; 913200005; 539071892; 57055490; 183013872; 696329593; 785034737; 707225615; 653932001; 998865087; 605374612; 295956085; 602348077; 402473829; 403365839; 500122178; 369769249; 658308812; 281992771; 801891169; 988865828; 11468210; 193245920; 95531170; 436102380; 50552070; 906222874; 351919074; 253309753; 839652276; 19438360; 201520021; 116078909; 972580276; 861195504; 711909346; 290490768; 536212560; 704722015; 690379215; 772084156; 671697096; 358355211; 743652179; 963731952; 320025863; 877233792; 260325575; 677943338; 75707957; 618053835; 552011365; 367753784; 720701009; 235004683; 730668142; 38684111; 775629035; 169444981; 521409860; 724377935; 448121513; 341679313; 53332428; 892896881; 513567684; 221301861; 751537657; 353763928; 27342636; 680745957; 632287441; 669232951; 475322774; 319285454; 885857379; 907345762; 338929319; 140759684; 962576389; 69600715; 492402494; 691217266; 358218315; 17241357; 731433315; 100169348; 254757126; 618469876; 549451202; 713544652; 220352458; 8443836; 556905295; 941909739; 539177260; 503135216; 694405441; 802441413; 566731459; 383988326; 36142944; 272739724; 540066416; 223245884; 255046865; 656250480; 401723232; 921687556; 118794424; 870482409; 881272218; 714103337; 704258482; 83153729; 382328447; 507759523; 992883496; 549743073; 838520433; 372842799; 365179952; 174144994; 335959257; 229984671; 146921221; 886831430; 878125842; 102804460; 938494183; 67796111; 446627792; 399169445; 876387298; 276624240; 62695644; 526651118; 890475611; 686009225; 549165215; 727969799; 817924712; 704735855; 137989947; 198412117; 239770193; 676685915; 333413070; 63421847; 343354510; 126073994; 196345710; 352882828; 82081414; 22893589; 410466461; 286179103; 449757442; 867827259; 151731009; 606735194; 980296773; 268259126; 150677143; 134881451; 879598730; 788568059; 728868910; 837385478; 570124080; 371312344; 889419846; 64068901; 102794964; 175456699; 367881664; 737731905; 755248306; 315003251; 866507713; 294993808; 798684984; 833801639; 75814469; 290597933; 43588121; 420750050; 606303656; 884888547; 552839635; 402987856; 831816940; 186448138; 554750212; 317066944; 656070957; 666514306; 580021958; 770345275; 565025434; 91236743; 478391685; 32073921; 894561025; 676488951; 13141959; 725173092; 437793855; 730753226; 220115550; 493308468; 765610104; 244258992; 674614338; 796056104; 695471400; 583516256; 281706944; 911261299; 859176611; 793939201; 925628364; 979529575; 638496391; 221426561; 612959602; 837148585; 953165810; 26455312; 109782014; 578437832; 424990170; 710936478; 793303533; 951183326; 703216647; 894396100; 852692643; 389988604; 441031505; 333911823; 387166072; 766755505; 344422502; 19103269; 790783721; 314578930; 469938744; 338226305; 94389966; 702357910; 397926786; 699394126; 851519487; 468453092; 334432556; 449597806; 134291730; 849456614; 520470783; 848358651; 244680543; 263550758; 888744222; 278588170; 744305928; 622692435; 784745983; 200196582; 908761904; 315984042; 82438423; 694733729; 692476486; 424637268; 264312579; 599433903; 571752224; 492813892; 469771634; 38516569; 743276106; 224710251; 411839419; 61694956; 479579803; 954934975; 94160672; 106235790; 731140031; 471591348; 31561419; 798527742; 169196452; 457888065; 494006551; 129538819; 578454227; 663844379; 106499078; 929904847; 18889698; 271980561; 598215212; 765472626; 69761408; 118503273; 922112780; 545913460; 557029302; 234522951; 75158031; 22799753; 474913430; 245625241; 565990999; 385203343; 196414830; 782604311; 442093657; 360199547; 522874059; 572494054; 850476855; 740555387; 85577323; 643580382; 420428708; 535087884; 394600088; 15045991; 253535858; 5734639; 701735051; 294930533; 945826916; 936417064; 788919336; 287308850; 187892313; 18813511; 466218126; 278661172; 491532670; 307114122; 659121972; 200859996; 413259513; 494398650; 243511295; 318071623; 867403214; 234217076; 688000251; 114715569; 948816241; 84008235; 46702211; 802500048; 604642853; 143172408; 447798614; 459334684; 223414599; 489368667; 465951815; 805741640; 190922190; 813360549; 364968873; 101600692; 880031173; 528035556; 727088214; 691987138; 359733254; 219731825; 415293566; 444525132; 752943444; 950686530; 62175404; 138133238; 490730010; 560119393; 764880025; 857140952; 100979172; 996129333; 520245293; 916390396; 167835338; 750160451; 455758377; 63790636; 386772227; 366130659; 362802958; 305702022; 356407472; 850467040; 973918362; 328090878; 33032251; 710153647; 540131182; 960838508; 267410315; 675854303; 511459280; 237287405; 45905539; 377750244; 441017123; 338746933; 203357928; 825867543; 849137773; 869110662; 678483108; 147053275; 717061925; 577821803; 57789959; 23245378; 256298231; 466613996; 262109814; 249459137; 809347037; 960653773; 716533059; 953166476; 668417152; 583307737; 107118571; 606322527; 79945305; 517922997; 995333290; 334816364; 929237782; 788192632; 890562069; 351748675; 72025065; 180788946; 284201268; 876937308; 248229030; 680170755; 652122322; 748093510; 140751265; 241206430; 695808540; 573986474; 98789534; 83120084; 2089375; 464014173; 870286683; 558441494; 655171238; 977375158; 489223637; 68239737; 838047143; 474360549; 145750561; 532057440; 836856358; 912052064; 517464772; 300858628; 747199756; 764121124; 485368657; 687037938; 590712650; 67364637; 282177200; 413983446; 893558135; 111816992; 641690308; 522321460; 478634200; 157524944; 598453252; 883961284; 707926493; 998620230; 701600498; 567012788; 307076720; 689271474; 489791025; 812173495; 595042386; 825300387; 914867479; 88320098; 508603012; 849981242; 529625895; 617303049; 410778154; 919039292; 528777389; 147107838; 451476478; 329430265; 179152187; 991537916; 259721921; 30725579; 156638568; 221065823; 123258382; 466809330; 675721186; 654458281; 917935848; 2501350; 487824988; 137608525; 180583273; 841081243; 353195777; 990478280; 363086965; 362025650; 646560007; 835057279; 365741411; 425361179; 483118497; 7297084; 328617414; 726190501; 363843180; 453736826; 914164413; 133286676; 51055289; 440174340; 391113226; 252742893; 187586623; 730633335; 278887981; 509273140; 761013086; 122206702; 820403876; 170852800; 905519835; 14814800; 552890772; 564476511; 949517229; 498819128; 224137622; 55191011; 622331414; 860206242; 848970515; 215587345; 514865100; 19873687; 247993841; 397312881; 810671406; 104648203; 500568155; 129785649; 702773058; 730019453; 514793763; 791882056; 831294089; 328840364; 882532858; 757335659; 561655368; 96667185; 488464417; 74351228; 148803846; 447567628; 817874486; 49635711; 496694043; 510020364; 735031401; 165904811; 141825609; 159863657; 638689983; 156380597; 143386032; 295924266; 870087431; 804447504; 364237224; 134495481; 436843912; 887449277; 138889158; 748694274; 981080723; 61694980; 866979335; 303997963; 869885278; 443952662; 456479092; 20892427; 577972441; 158853840; 805130207; 323797792; 202115262; 490529690; 381121965; 305945295; 929504194; 717062217; 988449296; 372506125; 741243777; 721686599; 889890304; 711709004; 231026847; 441893187; 268120378; 55922620; 711167874; 353475877; 453193027; 601442182; 854960559; 261451592; 496569580; 478554734; 156338588; 659608498; 923386208; 375940194; 307712871; 950152921; 936073298; 874387945; 335685360; 271856565; 423952067; 541057496; 703421423; 901406470; 336609097; 107736742; 623280355; 848030477; 990398051; 212396201; 184262891; 764497749; 871975504; 982292964; 544678100; 969717526; 425596513; 601815154; 154765169; 308614979; 388755423; 515351435; 976891529; 284028071; 174932130; 312297934; 523524250; 878131143; 586975156; 928370051; 148169160; 736702034; 491539511; 571048316; 423708532; 112567454; 612816237; 582291067; 41134564; 711035860; 709530716; 153643540; 736237554; 934205359; 975200079; 865996160; 534254348; 198340914; 324833574; 809649940; 218973778; 869958542; 750146648; 135308274; 110280718; 83742756; 670996563; 271086450; 406238904; 857790192; 725379204; 716576109; 673502050; 587633654; 796736617; 174190186; 493699056; 251581732; 469175084; 25342022; 623866797; 569038630; 207485730; 375652169; 752697540; 234715117; 323437176; 410796617; 361356226; 736363402; 299518676; 197874614; 503787765; 61455137; 390349056; 145002462; 215720366; 672382857; 322310446; 691775928; 674057657; 758564736; 113538604; 353447164; 548566; 898786055; 255429398; 49729780; 467742071; 595819500; 118042979; 337513913; 799415981; 93481136; 613185864; 47577155; 43213085; 603660434; 374358414; 646671790; 700093662; 995520039; 240378661; 875346997; 878857823; 394199585; 777019337; 447972869; 581666745; 400704068; 489564199; 762206331; 370621313; 116325443; 693826907; 775219851; 916982045; 477372139; 773954759; 46766475; 7688727; 663217052; 498439308; 977613980; 637951759; 960620325; 564127332; 205734939; 752641647; 716820303; 692286126; 199511703; 544489476; 915319053; 361230820; 456059264; 366121263; 136556931; 189317911; 52493483; 547372615; 7982484; 621407868; 340311774; 528553563; 751682285; 570866391; 339458038; 591758922; 919637246; 679804265; 23241301; 346693728; 516570840; 477091419; 411303774; 452666387; 739632321; 126866175; 22757971; 345302826; 434406224; 319505581; 540228587; 511587216; 415733425; 57784073; 482057849; 829989174; 34987267; 520633606; 322509909; 110893328; 101885715; 409293218; 543860315; 488196498; 252859888; 314036360; 353744305; 812218121; 30904105; 509471035; 431292614; 689547841; 295411759; 825936503; 674348338; 942975259; 101062333; 343242008; 14889005; 656808801; 183107748; 445055887; 460838593; 634682472; 11100052; 776076142; 622323090; 974548709; 367115090; 91334971; 216923168; 511953120; 832545599; 980323357; 686525259; 491909056; 755528788; 758535861; 36506318; 731669526; 826563897; 665763894; 923052300; 867885211; 356159220; 969756173; 550209870; 387791950; 685497574; 463907196; 598627613; 384177423; 817120199; 914254848; 86933540; 172537262; 462217938; 24239915; 696596836; 585731285; 124539339; 737022556; 438374133; 673256211; 526874289; 932950713; 478877452; 882109015; 390788387; 113949563; 293140258; 948539816; 314724867; 707783293; 838489810; 60609262; 953654584; 298396433; 940304024; 413274269; 681889808; 376109379; 522210845; 31852759; 330949064; 580580861; 822356527; 286785418; 634312638; 884821161; 378728195; 898966056; 409888696; 921582608; 982207136; 926951242; 634927867; 624471111; 492759889; 748771210; 56197026; 737340636; 592098827; 50156383; 853828019; 793537903; 721816470; 337807698; 203197929; 391293454; 499414079; 320113871; 222454629; 44302023; 74780413; 813728518; 417780879; 420103863; 414961294; 545329351; 891044083; 164302490; 830578095; 637938186; 253196159; 64594004; 192094522; 166660434; 126137201; 207963699; 146574965; 840937579; 77305848; 101630742; 230052449; 828498041; 639896228; 625642933; 812820350; 159593642; 58657240; 222601483; 271273317; 891730255; 504857464; 692506984; 431809916; 653596507; 796969120; 416018570; 40958645; 50955590; 348279520; 944562442; 89882194; 66497614; 838312273; 240778853; 414431516; 235129152; 408233954; 344562972; 417694244; 743301835; 537061523; 243385647; 918810022; 393975841; 327984360; 353520852; 158472718; 381512905; 723666210; 380829988; 334342550; 802853962; 275333922; 667465579; 898469454; 621802517; 189777000; 42251344; 771065541; 726131757; 957662419; 179845593; 966643983; 538967706; 875368079; 945507236; 473307275; 258971216; 807624652; 767468338; 767810694; 744971635; 177496321; 724678333; 460327150; 480868443; 77018779; 710922686; 27361279; 902651034; 789866667; 223009410; 368144779; 242199308; 790106729; 190262615; 393561607; 765950455; 784967487; 274137914; 742758242; 861502071; 482915836; 961278815; 280788900; 118254935; 950507472; 623137360; 755287687; 92934145; 107640430; 918016184; 156846643; 286804270; 341092369; 763318889; 925233961; 139007559; 938446133; 913545173; 367861093; 871629079; 286743766; 553271460; 174877034; 940773927; 293462204; 865772012; 788618003; 205048891; 91078265; 606464953; 620231314; 58645034; 549315663; 940629030; 475057097; 967192666; 782455165; 751644815; 487487490; 601675265; 360220716; 316222070; 394226646; 3210534; 946592750; 218179781; 65160559; 65628412; 746903756; 550290164; 171499823; 960511466; 945803222; 169460176; 676420844; 482714546; 449046701; 964546437; 277505057; 462409143; 178172474; 799760171; 253447786; 571777957; 470993173; 107746870; 327363162; 936501679; 896114752; 105208199; 421345091; 952551939; 363586302; 250613880; 491650565; 635766737; 13097555; 640489492; 320121715; 107549380; 727438304; 97213428; 561215854; 694489047; 273228591; 629644982; 395765621; 334457056; 727488271; 533047942; 808390709; 371070084; 741383509; 859564457; 421727850; 710964673; 699375472; 886599174; 875128915; 451531736; 275653812; 598359591; 46140876; 68608050; 218768792; 460705982; 556917088; 927850518; 401573802; 963799643; 979897233; 378721919; 437133244; 534515302; 946147321; 212433199; 160002603; 414545798; 761101363; 477489175; 999727331; 710033229; 351680479; 604719358; 211698211; 829984421; 874103657; 582021546; 975094811; 4740157; 144570955; 510312735; 99634150; 296768382; 608215342; 689543377; 98200433; 383836935; 118740394; 925499078; 543914190; 475730089; 508796972; 194253472; 919177964; 334643470; 455716078; 945779528; 989514669; 552182155; 271048121; 509864599; 976802849; 81710821; 207380400; 885007432; 675301491; 321073390; 674531875; 800863340; 112494342; 475016545; 335218136; 942060993; 866070331; 633279033; 573493407; 586871834; 131004653; 236311251; 903014542; 997411283; 604584532; 527108135; 964305591; 202342221; 267093537; 570668787; 531078620; 710034979; 460702384; 712318325; 430571533; 489959379; 456072413; 223180614; 492839719; 160724045; 248633353; 704095579; 199523772; 876167844; 759720698; 295614113; 95502646; 165897438; 594614139; 324908488; 790836192; 714566109; 430425813; 373396709; 951323510; 441290302; 180106632; 394368575; 746899524; 649455162; 568971727; 49405270; 393088868; 795246665; 312414381; 214563476; 346816129; 971039961; 907250036; 183293785; 638750158; 935364085; 441342776; 391913030; 534857485; 409729413; 643851925; 329034015; 407931714; 890551706; 440468596; 726631687; 766450846; 464320765; 207573782; 282464062; 787888479; 549762614; 772465857; 517053909; 594568524; 787088836; 350775335; 437133515; 363447050; 509535512; 4846866; 455431013; 628262804; 842629535; 837893049; 70705782; 17726256; 246744894; 890510357; 380445426; 831768892; 389531756; 78725180; 376122210; 329814230; 515370187; 574732507; 407184038; 15452071; 86689135; 724747350; 514415724; 475127827; 250755582; 586017799; 280243887; 412146834; 279336786; 396352788; 264394113; 52404501; 125077957; 888500881; 554266952; 86967590; 437422430; 202372390; 966231439; 213705124; 319654912; 327706227; 604516154; 838729579; 244443587; 691974396; 670229964; 419206891; 5257885; 716775423; 278654957; 492538897; 11616702; 646950986; 306026643; 833796337; 78834178; 275922590; 685293512; 101203566; 623763509; 656078816; 945604774; 324717775; 192790388; 606547432; 816500784; 414238241; 58806450; 745968573; 310554062; 972523071; 438568065; 189445485; 960001260; 460803121; 51605253; 687345870; 404736964; 670252702; 370607189; 996543775; 692270390; 483658090; 512498805; 152887874; 900798326; 321902214; 232558689; 812792038; 89627325; 385482292; 85511775; 114980633; 906256203; 132176164; 113938045; 860499716; 610603742; 627199142; 77262047; 251651528; 736521679; 167738946; 281319374; 226793959; 873959147; 950424104; 287498818; 699383203; 678933526; 452903220; 805152685; 860641963; 79880703; 620991139; 222909835; 85240261; 664591172; 153476076; 656403564; 171552097; 531498953; 709326521; 556667839; 956693548; 309369435; 273469420; 363742884; 697635661; 750181230; 600174547; 790602406; 83903616; 271661984; 794607831; 419228654; 87801484; 367167886; 88560573; 765286104; 951006428; 750250006; 896580675; 160985003; 996341938; 686112700; 496608652; 8826906; 970375031; 283690876; 588602869; 551235124; 124407441; 122553690; 380714466; 903534647; 250454724; 331601977; 397264783; 894642660; 697242661; 325271889; 176018730; 524552932; 209331090; 17930224; 696956093; 581641945; 71616876; 655056447; 326755790; 904206703; 333932104; 810098296; 51872570; 691086075; 786154701; 500477300; 774379189; 932139088; 808276112; 46281558; 882020616; 642937407; 78626763; 744976438; 745900487; 840621754; 293141714; 406778811; 512339028; 982985545; 200090743; 96379688; 731892731; 194786370; 587797329; 215409805; 448536756; 574049504; 994450246; 130062120; 452197417; 853728347; 478142793; 245992732; 990418743; 89912813; 530916549; 444842591; 10607588; 692738728; 617786191; 262912104; 966519363; 683722786; 857540414; 116745736; 873227363; 77067215; 176555643; 68957746; 43363488; 533182106; 910732883; 152380108; 993295616; 340926397; 970676595; 308785303; 62200157; 273981489; 832809292; 729118812; 699676301; 818970131; 628088803; 235687281; 220074142; 998712515; 979946995; 3490108; 15691038; 220726452; 936613564; 604889399; 600492828; 83126672; 131431487; 723542994; 333587942; 250747279; 317759186; 699894415; 741249907; 7101324; 110266899; 198449991; 26216686; 353232706; 802104277; 408746362; 665417824; 888368646; 565370168; 430576891; 957735373; 589780883; 799338300; 10920922; 900024492; 338080518; 70219947; 609907255; 841878633; 414994208; 236555139; 352814288; 178796140; 602748240; 80664841; 737010978; 286608976; 147147970; 18477242; 868938670; 12924669; 134576177; 644507763; 447517763; 208712927; 802536461; 719573433; 129481234; 298151133; 302976809; 17764986; 872842257; 192362484; 88605057; 611210823; 868691884; 862020191; 445825009; 749126389; 826650661; 623427745; 144373772; 96987882; 328114637; 455886080; 118534529; 224522919; 1826663; 720845079; 96064957; 796380633; 159885838; 742949386; 504235461; 883292996; 991983004; 729246603; 807137342; 128814960; 733948180; 481492365; 899445598; 255846118; 190089810; 327434115; 912920518; 988080331; 498448004; 553641460; 640688024; 252451323; 342240180; 135018369; 979439393; 727039561; 174193302; 66274203; 457837276; 716730170; 261296156; 144719489; 573831035; 434965159; 765425199; 114748479; 297912773; 797611702; 918896316; 884540955; 444936329; 706027557; 528667314; 753222655; 384721590; 431614072; 758575995; 303344420; 577720745; 382372457; 264857816; 964538069; 942767103; 61569185; 785097010; 521691169; 489780864; 27067643; 275636751; 846000150; 599164211; 33967024; 274318063; 53917069; 454942982; 928280442; 892727017; 583311796; 951639658; 970330026; 242301121; 350184455; 689276298; 551191919; 286150645; 248465465; 73584682; 693620621; 914895403; 571499980; 860297805; 60282498; 919630150; 490457567; 561589717; 579460503; 679088169; 152190912; 979184344; 182649412; 20770295; 48782943; 25201019; 442057952; 31044094; 114676915; 747894309; 946704711; 310304449; 601324803; 152276689; 81019229; 373384289; 420645317; 758387642; 95166071; 590866597; 477548481; 901198885; 128453774; 74144784; 278235862; 263372211; 217763683; 633538336; 647670257; 284268114; 880933233; 837201417; 385173529; 41347500; 450044983; 621644040; 14441178; 702517056; 498978326; 817540745; 503613053; 14021254; 829559619; 174636142; 605466876; 213804699; 550740383; 772428266; 386703427; 659200105; 919826246; 854732201; 871762476; 141204776; 171895765; 136625246; 480685906; 202583237; 883935275; 692888472; 369179280; 749021910; 686247880; 54499796; 215419337; 652954969; 820599356; 857397439; 940555642; 938980318; 198806725; 947205582; 234537643; 201980654; 22174187; 182489994; 401980344; 879057254; 974027179; 615545365; 979436321; 387729601; 11969829; 460377333; 662590116; 992785026; 791742096; 927817366; 6327010; 562716420; 568834003; 676326927; 739534038; 503739630; 829851770; 508235597; 642629603; 937514799; 710207569; 812799516; 637873812; 866020060; 373265106; 139223466; 621652546; 677221261; 95689412; 242545922; 334053200; 872322489; 493210994; 89945409; 28060643; 768300917; 719548519; 747111158; 249961649; 257818060; 625722808; 135659885; 931171511; 361150126; 5563793; 512217956; 547780113; 257468888; 424163016; 365800372; 908277773; 753044111; 813146384; 559377887; 512579304; 989702247; 785076417; 515022706; 589090973; 171359496; 667814595; 334432268; 688173536; 858095229; 372273614; 587373130; 90861762; 458009342; 253190700; 94037520; 996229644; 723908746; 461234802; 230100913; 444083252; 962184442; 231841712; 320239636; 457564113; 527113402; 118414292; 328252525; 389066051; 277832689; 466288003; 690910597; 673658704; 123684924; 776259973; 573511155; 658427104; 813136143; 939539837; 206945640; 894659705; 64084700; 186565026; 123773533; 42194133; 859847116; 120090172; 892486754; 429268798; 618247805; 420722218; 998943769; 416689395; 806586082; 232197893; 200003513; 438346326; 170382569; 459671528; 540467873; 595480241; 907598149; 967127074; 895834117; 893329952; 741563567; 490928162; 947659008; 490034792; 713815386; 926922099; 57181714; 142199882; 897840179; 776051490; 612466997; 436561879; 542987473; 765874581; 551321275; 258428046; 656593313; 62175677; 160664063; 290961152; 661063175; 486908487; 729879131; 407468266; 448901953; 383788019; 528651108; 635168523; 162589619; 795175358; 920847486; 894021833; 840642003; 28089638; 132424694; 580531444; 587383053; 806448356; 321869756; 105519650; 623603208; 601056231; 409303935; 942466086; 118505096; 756871084; 21972320; 514268708; 74609495; 431099325; 773043852; 770479134; 779244966; 685227747; 708253984; 120537723; 783985651; 205040376; 731229226; 541984320; 793670003; 562720839; 702001124; 748616488; 245323642; 515204547; 564160806; 326778203; 595361646; 416163812; 330638170; 134894272; 989638968; 637503943; 327144227; 829009601; 735845097; 338830524; 873074509; 783254491; 17184112; 625948964; 392497500; 552916; 992889233; 782431309; 142488919; 985030505; 819834659; 538610339; 847486583; 734334921; 667225420; 475892643; 50645425; 110862471; 563485708; 309911318; 869610514; 553262445; 336772126; 585160625; 818985898; 124107016; 568214004; 664239993; 400916289; 993275698; 457194639; 685678108; 842283352; 308692554; 485128153; 735747250; 12352104; 150792695; 942063233; 622828732; 517373604; 215478236; 907742333; 573271340; 836591734; 672421477; 638182020; 420266803; 228283280; 850492062; 763003834; 818561254; 988007863; 90772248; 632535366; 759250788; 221969688; 608830114; 735673136; 547861170; 908972157; 665387572; 353620077; 909838188; 615033367; 979541354; 648510681; 696870704; 602249994; 826617657; 323010723; 701015038; 557837186; 5958245; 463567488; 684893206; 148854794; 976853814; 395563000; 81091298; 838431121; 730477998; 187423796; 577528840; 210082301; 521577004; 767016397; 825505242; 44561195; 34972184; 760482563; 805331970; 413748777; 255754969; 13424725; 70677732; 217636024; 602186127; 68604795; 543123306; 160448209; 34812457; 999084309; 212026390; 219257631; 424351852; 758024195; 312120147; 677003322; 578474208; 247338979; 550211971; 84432810; 203677930; 860600738; 567303627; 451781699; 706680208; 857369988; 932869413; 155909843; 305466478; 509927770; 376269316; 891610453; 302290875; 159325679; 609381920; 433908436; 703787323; 80652248; 461303672; 382350539; 198532756; 340779313; 613266691; 652320148; 566342044; 466749003; 427224375; 816378628; 404914876; 134747644; 1195043; 254040569; 506720491; 411777647; 112169828; 657248069; 720437222; 716949443; 578388558; 733946110; 231637763; 432933337; 158634991; 776923951; 665068553; 417020433; 327806294; 74569036; 813093763; 522108277; 263440200; 854456461; 408331474; 468929862; 781946183; 344566907; 943249447; 382463585; 7508656; 989784308; 690671871; 361007644; 26503230; 567742526; 522728803; 746410191; 575905060; 598124512; 199451237; 515769403; 714375902; 446009916; 321965390; 58301803; 880793239; 821285251; 199698273; 194845190; 161252160; 816478737; 79170840; 9787340; 618781362; 236626673; 218119709; 953034152; 575512017; 988641404; 628532128; 321823349; 838693197; 476363826; 388910715; 883486156; 378350474; 803551173; 182438749; 875245938; 282180177; 942753946; 635288468; 584522905; 137996785; 620609370; 362003347; 83483065; 455398863; 284359821; 963934881; 831110359; 820366887; 782299294; 978147958; 951104408; 316807300; 164508676; 299594126; 554390339; 442284353; 994913468; 505022743; 788510391; 825305081; 679894914; 193079875; 165535837; 452144215; 432037650; 360379353; 829435548; 144771429; 36241074; 65127927; 290250554; 719302089; 369226062; 370077669; 918694442; 713292299; 89560871; 430788487; 483954625; 747727825; 192940588; 322755190; 763540863; 113609289; 824759770; 130160680; 79102378; 159966509; 786105129; 754575887; 461190313; 403816879; 525426061; 823025203; 535915724; 392078547; 462693556; 347318545; 175312774; 170701780; 485307946; 780315636; 972989398; 244211118; 828320985; 569897480; 503212283; 143450910; 271486393; 273205956; 335256190; 74904289; 539447684; 710812217; 988962791; 424839011; 816015234; 690468240; 538362184; 881222; 976602359; 540778546; 105493488; 833275471; 527988660; 759542395; 316140533; 836819713; 629271360; 897338862; 656380836; 500715733; 716170082; 99899699; 724874175; 691670599; 24112102; 280194474; 302781152; 918322274; 651000118; 868764976; 761020043; 562518786; 553814794; 880054413; 481757401; 371079139; 77656159; 537790066; 460007765; 89536263; 401322694; 969487399; 18457128; 657979782; 126827796; 986721927; 425651283; 349259507; 945824777; 760094238; 870000491; 576392845; 958774217; 112132705; 921828782; 791297740; 625997400; 541833680; 939700277; 756885209; 815523198; 506106250; 419852744; 713355596; 115496383; 460961793; 591268061; 599074306; 684010359; 935833175; 188159853; 862104222; 679935343; 64880697; 168213929; 890158503; 828873259; 450541962; 370708712; 352480658; 876191254; 449182939; 985588741; 798393941; 829490351; 324510479; 981169144; 737264075; 345635011; 811006440; 195923428; 48376185; 985303652; 138396208; 335927965; 956061067; 792647985; 161015997; 765750898; 847721856; 73626005; 513276106; 250181343; 528945174; 727531954; 712140924; 390069872; 411044648; 966103977; 499852931; 971007026; 436459433; 998234202; 476754591; 114566706; 57010266; 770658010; 340732667; 176462073; 611588798; 346561449; 630818369; 303687536; 518546296; 474000922; 932714083; 546930667; 850529175; 910353142; 52572666; 624205161; 980007995; 9761075; 80605263; 26910544; 409156881; 182193731; 698116968; 759543734; 789799629; 776567557; 693482369; 90712193; 893630038; 719040269; 691810755; 820435502; 794587458; 470211536; 13324548; 894912673; 446097096; 683864252; 656502542; 398758351; 591959939; 527755342; 715494994; 803643537; 612477901; 454439190; 258189423; 595945734; 252150095; 409930192; 821339678; 340973019; 683821424; 632879990; 161752397; 322824838; 529136272; 84227620; 954213581; 309051264; 868056712; 576185414; 814035301; 895097837; 274734646; 909603204; 951213846; 99745973; 685968232; 326857618; 261551513; 275421353; 353715955; 379019012; 56222117; 973522155; 581924708; 67195162; 799981940; 403459263; 935195606; 257897278; 50469948; 21016063; 189018368; 522123657; 335461431; 33769908; 541149454; 781742771; 261805545; 928969380; 282417377; 222763139; 332806977; 105759304; 530978426; 648871779; 609398129; 232335442; 414678167; 20111297; 927850811; 37035487; 318771550; 550638639; 219458922; 946115662; 158663371; 750045243; 498790691; 149133215; 702265613; 594340071; 558966539; 195549741; 863031081; 5007310; 64154074; 107131672; 920493435; 567339417; 941647010; 444635666; 442823492; 454544830; 532768252; 849906184; 186171153; 566881898; 122590559; 584914347; 772636719; 121638692; 189121256; 815473832; 534279914; 557020095; 237531843; 765644225; 752287640; 693633247; 599927388; 959562466; 708335321; 369601862; 188121978; 799576681; 558308849; 113788713; 907580402; 773993752; 272549632; 842690798; 267959223; 755472497; 789820620; 26361818; 43860648; 160481998; 209012762; 829219237; 315437588; 914233071; 877318124; 54420481; 694579096; 696149548; 733300822; 451662301; 571227951; 97067078; 35424107; 868321812; 134708083; 451790745; 810347592; 850656055; 395850573; 407380795; 303365359; 449823115; 369070052; 313946831; 866017326; 912157599; 929233112; 626668676; 695889064; 431225309; 509769357; 19930167; 719013341; 712215110; 933343372; 57981427; 887596285; 590807009; 874182380; 120507255; 198543410; 369743752; 793799077; 680857854; 515581560; 319201048; 452483529; 692744351; 521835990; 477275380; 683024723; 692314022; 696934813; 534050163; 10391463; 394129242; 534482876; 237642900; 65598493; 407686512; 336217822; 820314054; 917810023; 928732418; 901312913; 757845187; 221084558; 40296587; 860864457; 105346502; 92159415; 756191461; 801453106; 577137553; 168803970; 681665839; 583282880; 381321747; 942465428; 654726895; 852572876; 320333453; 186370985; 720771289; 518552735; 866537027; 949924042; 106665417; 213436261; 95615208; 942713181; 766428630; 850920970; 105109854; 99022906; 301501451; 714567423; 400326758; 614744733; 980671531; 48368283; 298672952; 493589886; 632120875; 532329520; 840700238; 414783676; 917358182; 13849266; 263339269; 291998584; 587956421; 922004876; 279886412; 380013437; 579059391; 154422599; 581712079; 455895913; 384364458; 214214516; 526080888; 836105044; 741228629; 486387969; 964304991; 793132515; 516331387; 650660843; 582200669; 866885503; 488093538; 875492075; 404850934; 268927179; 864990673; 254635178; 718145272; 684996444; 5570375; 711144327; 367193702; 326705053; 265697343; 110996427; 364004741; 982521479; 574983515; 292950817; 200599756; 850309423; 120247264; 272031696; 378958075; 444616971; 375238118; 592889182; 522545701; 384792339; 829135181; 652570564; 542500371; 21490391; 518994475; 769803130; 667929838; 831026070; 565356333; 814778043; 980514928; 534810970; 235683970; 770711496; 456959338; 130580535; 429913060; 693146237; 893596359; 150237832; 623901780; 24955420; 758677244; 683826033; 32751933; 687246890; 920376141; 44059763; 206189172; 779755072; 228125848; 284545518; 36130352; 79834813; 134926384; 574476397; 376040; 803880556; 517389210; 417325092; 930129493; 716372089; 296779740; 149961999; 440722102; 414551794; 171358789; 602693270; 790390075; 415172446; 972649159; 507123138; 260330617; 955697677; 688498836; 850768931; 557613802; 25046253; 851182505; 621029551; 296243037; 677427431; 556619846; 876023627; 772622608; 450392159; 681370067; 772211310; 348639884; 714744090; 550373688; 602190662; 676201832; 738276061; 387901645; 863939457; 722451716; 710114627; 31969674; 920513079; 435301114; 217673533; 418524233; 810701192; 587687584; 980744715; 511567964; 616381604; 364715966; 680216488; 303798206; 532614425; 172092012; 682040294; 237201707; 881673581; 857871287; 603015009; 61255080; 239244457; 990293944; 100161687; 553362148; 230402228; 467361363; 772524061; 926680815; 483883214; 288761756; 716483088; 209609777; 765826347; 613482686; 214801193; 714647210; 566757887; 646227272; 842767620; 255749895; 277754928; 36853066; 91855199; 453776434; 62838713; 27191314; 279230930; 198844828; 17278153; 295090422; 190912569; 138227180; 222506206; 631978198; 117158330; 527118820; 817119896; 128970895; 524671221; 405557394; 246431438; 68704571; 157679935; 294523339; 790981188; 918651776; 368322397; 318010189; 410575622; 494304015; 179940090; 962044655; 45997876; 626779330; 190966194; 787888528; 492513935; 161787803; 783034882; 672583634; 545035874; 49430096; 944663250; 446660749; 457088655; 778540426; 252473221; 965149368; 343922219; 649287125; 527240620; 678181820; 11187082; 98777536; 1853308; 66250875; 787817634; 272576328; 89948356; 484008708; 582583500; 410266943; 712476335; 647629680; 221551989; 886942561; 1908450; 47511267; 477427936; 465791489; 17483474; 927474836; 48084365; 774095145; 990902171; 120638760; 964482180; 379090601; 537122549; 752402597; 491966041; 23687209; 854507954; 457473794; 839894733; 530652497; 453358242; 576077582; 981971866; 711674169; 709430531; 647943727; 876611044; 728285217; 769163815; 400278290; 672312379; 674840669; 7769616; 560755884; 750556615; 38142945; 183556208; 299735398; 338327322; 697786936; 120928551; 891003589; 397271951; 681917588; 692196926; 25877270; 273656862; 116960535; 458749063; 878868851; 430203760; 662683356; 454806847; 55101326; 496828187; 123297613; 932639343; 423439826; 633306286; 398223617; 396180473; 507505188; 197958818; 243389366; 213396199; 787293909; 147716951; 361558144; 875950600; 354906796; 477636859; 942837670; 997398633; 95492024; 991148588; 431342359; 881836049; 71826532; 162990613; 657452404; 431709824; 242912233; 252904222; 364381958; 121973730; 83404069; 109387824; 754196893; 191707321; 168411420; 773641118; 70798162; 951321748; 684821727; 960172075; 818796622; 88533058; 282885094; 965336393; 176141487; 538615162; 467144579; 73086666; 750017352; 211936837; 896021806; 707836500; 506590047; 194455955; 899906043; 159793296; 997725941; 129574686; 465632353; 697758541; 917637653; 387399335; 492050452; 51229230; 756731134; 750169813; 879832987; 573913645; 161808320; 741320087; 357152118; 157022401; 794940243; 608153429; 256945643; 260971152; 795580573; 910631662; 712387323; 185674301; 30121646; 435139389; 415688177; 420141667; 464634167; 19260635; 466547109; 835771343; 141465533; 975700784; 202588411; 72638826; 164466351; 289459109; 36182903; 239704823; 268832240; 513590080; 178862716; 346206457; 586663822; 925131742; 922031809; 749573404; 468022716; 340437215; 613034473; 393853485; 513881430; 124189816; 131889078; 776918727; 20664858; 583314185; 621842208; 910576063; 670711456; 2425344; 558424037; 524071743; 836858853; 550095029; 959510419; 963998613; 478407602; 375298539; 141396226; 611854734; 963346213; 23637685; 653168416; 546975078; 454441760; 50526581; 11428745; 147046226; 819971836; 900331567; 76561069; 290606880; 546556240; 262098571; 218773575; 114612974; 238097497; 880247328; 222576960; 28469507; 961938469; 963840243; 180693394; 666680659; 920797884; 320104563; 773556184; 159590040; 94814384; 161473392; 363258482; 197517919; 509151349; 50874660; 663783919; 389081299; 669702026; 925911412; 561245876; 429387045; 269185631; 651559625; 799174400; 109253474; 151968315; 336423044; 386077688; 750802971; 321479651; 771928877; 619659976; 964687903; 378728122; 821210743; 832171502; 227465199; 956208380; 889280186; 925375711; 637628731; 811604675; 739216468; 592638189; 82784139; 72423201; 982402109; 950684214; 576605466; 920291954; 250067481; 522137782; 954283141; 378282026; 448699971; 293712929; 297152112; 215495054; 967862844; 100749604; 903656717; 897703369; 227835547; 124823164; 57165720; 767921770; 583391086; 501694421; 405280872; 745979612; 923961563; 599545999; 351012334; 431900066; 250761463; 713826088; 666832423; 710653107; 88057938; 501332861; 965970810; 669021345; 487829654; 671122194; 682597637; 871773594; 287848249; 562071499; 243531239; 152705970; 151083337; 489414456; 193474326; 360231907; 603825675; 303065727; 41292205; 358000022; 451632717; 83805122; 385690458; 699783620; 69932015; 855092591; 20254903; 742564359; 338812379; 172158740; 759664004; 672626956; 50142697; 646254061; 35228171; 221773893; 781911810; 315018347; 886535474; 388040960; 853349158; 683127546; 981100150; 407021009; 215143467; 535800583; 612520821; 391949832; 457780795; 175988719; 315110011; 990783967; 431382494; 984695635; 525377962; 200421864; 434952292; 786539298; 214783351; 24874876; 133307338; 951434448; 693124599; 903258294; 782523497; 505797524; 861039022; 355172498; 953289880; 986157939; 989724246; 239367964; 530717691; 513400187; 12035253; 38216372; 223460404; 336324263; 503072370; 541553706; 941371157; 475589941; 367352522; 385823355; 805385408; 375096645; 135453609; 958226597; 387881677; 297222332; 762577877; 762770115; 118226204; 373872526; 543209616; 159643874; 666727030; 686282412; 591249697; 910669556; 16963229; 341426900; 861407152; 578201471; 423169514; 72169917; 39626743; 435326638; 423199487; 868213901; 973877706; 679035267; 219246534; 304668370; 58083992; 37677382; 756457231; 329300322; 842023599; 580183047; 485047813; 762818917; 137593555; 222921479; 635974814; 268734612; 235944276; 352126652; 360242133; 593407356; 853867255; 469076413; 815976645; 96646356; 418143840; 134095206; 265380985; 936173095; 944455058; 557789200; 277805037; 677819802; 576669692; 268538534; 828908530; 820735870; 951345774; 711794447; 924076096; 657342834; 425890710; 798682365; 689248851; 168459894; 823675503; 816866314; 474869241; 188643250; 960771615; 862606025; 961085006; 221609891; 732423791; 948028385; 435989822; 205319360; 316459031; 753597891; 529056227; 892759962; 274250633; 547499987; 445147485; 506216019; 736772584; 405508332; 889663256; 572848579; 204831516; 547465007; 818171649; 506552791; 877181749; 338670786; 241179195; 940416745; 406903895; 478685898; 893994740; 62090731; 359866286; 479271962; 995542471; 524526743; 330553397; 88160527; 864435074; 531384718; 904272563; 272099224; 232428325; 771496781; 611752309; 482829362; 626532252; 469547488; 406151417; 673991492; 982230677; 110608144; 305472707; 202102722; 911354329; 566510721; 978366584; 91536627; 421495913; 917759132; 19213889; 90189152; 798543597; 634182145; 139064302; 437464008; 721618959; 17823511; 847061648; 550786224; 606080999; 275890052; 585065939; 227637404; 740433782; 313011158; 328908951; 231901691; 225019884; 452726941; 954848383; 652630139; 819300286; 7058772; 516399762; 922568409; 287528309; 697258359; 106122212; 365031094; 762031022; 97889283; 415494804; 183334472; 891144412; 970585419; 401652716; 544445400; 522072845; 470375412; 829602586; 620215909; 316415776; 393208198; 451001485; 990746608; 645083613; 376611177; 667407726; 55746839; 362437643; 471089962; 43989236; 732120110; 778905674; 677648772; 41627677; 323274092; 387118039; 379081206; 970998182; 131889231; 248507290; 285301826; 755715978; 197416720; 404595113; 173096886; 399637131; 263236646; 467806592; 285387327; 298170886; 617944894; 512707466; 754372474; 117692189; 223989691; 62903061; 479605065; 163368677; 346895642; 133812726; 845714434; 495932465; 658035517; 207747278; 599301397; 912863798; 92202870; 285404463; 592803951; 781361083; 962093247; 583853499; 218237798; 386949128; 343895607; 971697754; 866484826; 640802299; 80197980; 313726857; 773149992; 605161329; 455638442; 428265953; 892777295; 982527498; 40791588; 560570515; 436600933; 478219144; 438144611; 422825526; 259795103; 857629820; 212850592; 594068238; 843254073; 973752375; 560681021; 239828553; 900366410; 885318507; 483605019; 215637614; 324569995; 332406731; 767896754; 922009278; 296986916; 681109404; 800656703; 728333631; 52585276; 551728994; 627789000; 784744640; 544897026; 383860120; 759196839; 828596683; 377137115; 360170936; 768115968; 174490284; 395300266; 485846210; 578501760; 909874985; 678280865; 618472277; 676364952; 933757206; 399741200; 243305405; 64278304; 366454816; 664749865; 293952296; 968895913; 813469551; 60181934; 666293359; 823010485; 937025608; 264627387; 580768287; 377638609; 880875020; 172389997; 817456019; 546280000; 72670078; 263214339; 188906769; 312017742; 18775803; 174065663; 460119932; 120839350; 674939293; 767743814; 26923210; 967748308; 112760854; 355835935; 447716699; 595213499; 545196428; 389926502; 236496079; 613053500; 875552527; 645546339; 949719764; 465665286; 354090667; 173640591; 216017586; 235896169; 590336193; 525064112; 136490918; 265430775; 989989389; 973747529; 346285065; 852969387; 689503931; 670635492; 629906259; 938176303; 96110328; 486024168; 2206499; 700928398; 885045157; 833889824; 133978281; 7923685; 128263291; 701498533; 9354286; 50491603; 523571295; 555424423; 970335891; 90614422; 287003499; 335702805; 311852763; 551623285; 43720590; 25487458; 463866267; 966848903; 553844800; 10055852; 697504952; 740841029; 943253704; 784217052; 575784958; 322338761; 516406855; 173550061; 816450501; 236192205; 489894677; 871324998; 349414932; 760343463; 143091013; 691633639; 718959354; 488874422; 9453637; 929013282; 687983658; 838469932; 362222469; 42629464; 23023075; 160157568; 759385699; 869335896; 925772315; 561355367; 525955097; 872723029; 91560619; 158351306; 924804652; 195013569; 425642617; 854202408; 459801242; 23645352; 721328094; 552182552; 3351707; 846122874; 875441719; 942452367; 662027549; 131395764; 840741328; 873252774; 995898964; 160013325; 959282292; 805739719; 766997606; 427106559; 523130204; 480690469; 897671965; 556031283; 965354800; 730050931; 602008730; 473153208; 244673957; 25112095; 59035890; 522563790; 199678615; 685499551; 289838972; 230061461; 132305402; 483663425; 960746561; 488677482; 178038459; 421901761; 939955394; 721357881; 66652909; 781025115; 467816808; 831092720; 350300031; 292178517; 702002781; 986894001; 393409643; 761581637; 816326850; 401403349; 927965492; 902274360; 245962260; 143531290; 398984105; 417453273; 986993044; 936744368; 376078970; 525251249; 270971582; 461410882; 72981590; 220997600; 587683378; 591648179; 331287372; 968833923; 822596760; 778998702; 941521294; 858640569; 808479357; 110497576; 57396930; 256955004; 585608823; 236065997; 703205691; 746919789; 474985313; 240309315; 17526834; 713916040; 826234210; 103346086; 185769110; 410415522; 551943577; 687871662; 361495253; 161579828; 43969667; 531915733; 699045808; 312692851; 117510341; 60873779; 657795195; 496107297; 247052816; 409350349; 654254733; 418569138; 329822442; 794579782; 191478659; 906933594; 481488950; 840039898; 151063715; 877423139; 489138466; 419975351; 708366073; 179201076; 15403111; 102002181; 726941971; 682429311; 170746037; 522023826; 340714209; 947221573; 744966558; 61700876; 969844367; 81724583; 177105666; 476786394; 126092909; 473243552; 857823341; 561342062; 1950164; 650468558; 364317885; 37497996; 426588110; 766325248; 165727498; 377652088; 870561804; 948127809; 366634230; 981134891; 324337709; 675688756; 884334884; 773279952; 408674853; 937844205; 812544291; 32305020; 991828200; 660984350; 503177235; 927124578; 846638656; 486551167; 865653268; 487626128; 668409434; 29004665; 591231153; 443999401; 648371255; 643825439; 910709894; 255057559; 648630325; 579183732; 652993616; 257823539; 714161094; 136541350; 574495905; 76720960; 190632072; 417444530; 304149634; 170836742; 45188149; 117391230; 100829775; 361072328; 443051171; 318014558; 169593804; 214436098; 103598884; 231202136; 507258096; 693185119; 202155992; 961652439; 976349743; 559917668; 872056234; 888513965; 273311120; 960795928; 347166919; 731078491; 652737576; 971007319; 228899402; 645226791; 948062121; 932307718; 50639227; 400195416; 369136560; 455196994; 555612996; 808164238; 819068161; 741489630; 977403371; 658969736; 296785969; 664643147; 859521999; 785693464; 681644119; 434337414; 741397672; 83270381; 697067266; 989574075; 485810378; 362120026; 85821266; 186209716; 821342284; 336655257; 812225390; 201596621; 726499291; 491702122; 262363716; 155687642; 282282511; 262769968; 756205548; 971962; 921732270; 118046884; 386358617; 308791122; 215818302; 489586853; 32448832; 722330571; 571685286; 549699721; 737454722; 112741631; 390000399; 569929907; 824653881; 113167534; 224034182; 603869789; 343335208; 114809976; 79566661; 667699981; 89767431; 32686383; 312227049; 167177142; 961088792; 178873944; 608690720; 482320428; 48160885; 355600796; 232684351; 454138451; 817074340; 266237176; 653346727; 670429387; 927101151; 306129136; 198399880; 600108027; 730955009; 890157613; 860758407; 666283938; 79338775; 20301367; 577613071; 894462129; 174876144; 759910428; 585605680; 373111785; 373217299; 754871146; 567189864; 87796790; 622312334; 533262721; 545802946; 890012591; 473599724; 925727195; 357973571; 479054151; 85090483; 506355684; 728267653; 624213187; 419829336; 907914081; 637242239; 903662735; 147127600; 265847146; 934400884; 118851207; 235064096; 37892961; 370941544; 425163828; 219004765; 644607772; 320818169; 682084551; 260697159; 758040417; 828535267; 675823186; 472377233; 154399448; 632309253; 220067652; 937672009; 471135531; 898054677; 57535850; 16838276; 24137792; 999322825; 176203333; 257320767; 128629863; 964896015; 969869916; 239031605; 288234834; 948347961; 732508726; 409779988; 582448837; 725365187; 700758549; 974029665; 987685733; 208157229; 705223782; 643642186; 421148068; 43784342; 38836383; 504153539; 545319461; 47297170; 856264868; 948072254; 894518778; 562473688; 659509714; 548253669; 91044579; 704120130; 674908751; 349480934; 123372199; 166371877; 939701438; 237401965; 792308572; 546013809; 131537488; 415949979; 867877439; 174149298; 57569861; 664998431; 678165458; 358916066; 51623567; 353717503; 461599611; 40499155; 369593471; 36676759; 264812475; 123715641; 470688370; 593472824; 888327082; 959345626; 525813245; 803211641; 33680413; 7152350; 9533475; 67154487; 230149005; 705440769; 564287215; 839554901; 439693; 58630236; 632621303; 193915581; 860547841; 42642979; 371122612; 133215996; 179278438; 946692336; 130456065; 528801948; 630991102; 567783980; 586657279; 832806122; 345190553; 374305766; 439913458; 758950359; 569035316; 25405455; 334777719; 78969806; 469171060; 288873447; 572426436; 282256600; 775289958; 141901153; 469542832; 423519670; 399428638; 470406167; 614954380; 863059093; 816921958; 430706384; 61206815; 672397939; 466256017; 207553294; 479373210; 560183259; 271960753; 608420930; 220789815; 224659139; 375078449; 877030288; 898878905; 401678290; 660371704; 326951799; 949890650; 810691450; 733410621; 580874766; 633436165; 66966220; 389326689; 313396849; 139309842; 433084417; 229927478; 431277552; 194484188; 70923261; 733141318; 585005130; 838304891; 130553005; 889943815; 820460585; 363133071; 338016718; 363880448; 795406273; 741595375; 864885523; 422268059; 158762460; 654719400; 610747512; 388933379; 552288255; 841268100; 649400929; 561263206; 835514764; 920671985; 320832044; 765676994; 122589299; 79283088; 765759620; 873565544; 81605367; 888507061; 713469328; 341204338; 889329646; 530895806; 767226163; 541246571; 139209837; 765376270; 767833885; 316375726; 882259350; 529830601; 793495591; 771521026; 187599318; 790057604; 779209879; 364817410; 504708141; 560766401; 476329153; 238532911; 493558338; 948635418; 675549130; 958231709; 577844914; 929863319; 224493682; 275112393; 624487428; 141846201; 324623267; 287024816; 506520244; 506977776; 322908743; 976445103; 63693151; 721463596; 712066519; 353758458; 573328372; 307954379; 411253196; 966558107; 30622353; 248747469; 569264185; 94026131; 405736092; 775457203; 413495482; 47827349; 514301740; 209128485; 129513115; 791538074; 450786746; 855533020; 957750087; 698485616; 492581427; 204527145; 81357909; 970255042; 452557132; 258691013; 49775000; 339849587; 164142201; 873412158; 703236150; 719328439; 246770862; 146074393; 448828285; 123131600; 480165499; 318144199; 485481918; 924427704; 784137743; 114205664; 582652572; 785524683; 741501256; 661776278; 133438654; 4006172; 386432524; 725888498; 755756547; 3680007; 316027353; 448160006; 398810294; 515445604; 620572806; 512121573; 466445888; 931093571; 580919835; 314419761; 617687804; 842032613; 846770922; 907206263; 347278080; 286460903; 652945512; 554115165; 260646233; 815877527; 430449681; 691984032; 89028337; 588521566; 780085387; 566355042; 429913487; 42789379; 99829926; 936705619; 679335571; 998726690; 85328008; 501063127; 740141131; 46162349; 330414828; 402696027; 732745281; 262969170; 910343505; 586070865; 163887961; 66025593; 972354619; 293850591; 576135593; 265996767; 607334905; 749207587; 569041329; 855150047; 503777289; 6173687; 178315177; 750762154; 51424231; 33796580; 121052392; 908308829; 581431255; 258924928; 973320903; 93366171; 6503797; 597217665; 314985936; 904172156; 911450384; 521553619; 749588040; 265243981; 654167351; 287452972; 356166895; 8220813; 732956100; 550477169; 175423306; 99093909; 414975847; 757970733; 103969369; 66421878; 712006509; 989216382; 576890915; 795643276; 78577570; 360529040; 361812012; 433535405; 192629086; 925124614; 437961832; 49246140; 689999553; 565822180; 22971266; 50266551; 758288487; 744425768; 796441458; 967387998; 33430524; 188466216; 732917336; 312556134; 423963113; 168550387; 350690114; 145310337; 364558808; 347593395; 709636014; 945108455; 671566789; 828181309; 220065977; 150351674; 100734715; 261336962; 886771332; 943535182; 446786616; 758388721; 689367384; 284512716; 486842493; 81021949; 448822193; 43135728; 150155604; 740667260; 854317117; 8326871; 371001426; 363448344; 933716475; 360341510; 318322509; 539834538; 345588807; 557888330; 809321779; 998910262; 639440773; 165269137; 524935848; 640240621; 243339118; 726981224; 35761187; 494300067; 992653190; 92210298; 302996144; 846826660; 720653338; 875143355; 181138170; 671299202; 991940965; 196195445; 78536551; 448296750; 535525141; 373413194; 833686775; 114915586; 990515304; 728587357; 152884375; 379621636; 222320007; 492198611; 4272683; 57930557; 436384161; 827997364; 905778380; 273742775; 508179215; 717769547; 608948993; 196291324; 10164407; 97813745; 35222133; 930891959; 874410288; 124259331; 15608370; 256325131; 244234687; 556379437; 586206779; 952021692; 4652030; 915043394; 279008014; 857429902; 890220512; 302201939; 305407260; 632865272; 614380002; 281205725; 363506537; 604314400; 381833535; 843581038; 78161400; 951559833; 13260176; 67211565; 923355954; 471116546; 800607159; 392937123; 355406020; 429844235; 134255046; 571160861; 903721209; 517550733; 489520853; 449706526; 768047558; 320910658; 674021521; 748448968; 182146580; 103076942; 789593777; 718666274; 640505281; 645430243; 947556837; 787598027; 2447642; 687442132; 752080623; 377867102; 26438417; 285016861; 150625668; 213166511; 580501556; 895288605; 21849366; 76661503; 278969455; 336497719; 728774076; 572103279; 101179756; 395689447; 195837654; 367345598; 212884006; 380505628; 399251664; 621160694; 51374556; 483240249; 487430698; 607534604; 1265225; 3814582; 277091546; 86498077; 843280645; 652299465; 665046698; 777145470; 949576078; 919101823; 102172560; 445094612; 725426868; 608555580; 702831769; 948159218; 305239540; 238834963; 984564673; 875005929; 596713859; 323332952; 689390217; 768867673; 645201655; 764042; 693748458; 839052260; 533225787; 134814176; 112977608; 451705762; 353507570; 635959353; 236190195; 684703195; 950210278; 522455419; 874025269; 539316458; 70618246; 263142310; 402388511; 250550480; 415389268; 82120625; 919423747; 130436340; 612149658; 857098793; 635436421; 298044755; 274240289; 791704955; 188248531; 527079831; 106711311; 142292579; 995950961; 538302240; 446367795; 345896290; 593940199; 729119924; 588586887; 318247821; 581677648; 119619323; 281906093; 32473029; 115250540; 112412175; 200440251; 32892598; 547188426; 630902521; 896831693; 652447848; 367094549; 659014251; 319671390; 234757003; 119199673; 412676452; 746410992; 948009543; 83549541; 374479575; 153730521; 580637702; 702148014; 718540177; 290767823; 728891921; 522252076; 617334404; 112229197; 541078048; 159257113; 7867766; 842253071; 698509123; 662102712; 157891057; 605074508; 166898048; 299369023; 705514247; 61129316; 609592887; 54622497; 742051540; 961673077; 479640496; 501242301; 492355489; 33192801; 58929878; 590529846; 994315046; 672700733; 745347663; 138111583; 149966276; 143359000; 907138084; 740297667; 356753525; 810983284; 275490430; 335309217; 402040636; 113183122; 121827608; 235136141; 136944699; 794596195; 101620600; 101356116; 529328847; 543773557; 329274294; 822747538; 157113429; 130781412; 762096006; 117788692; 463288359; 84406183; 694950174; 439182551; 640180188; 45896175; 711520608; 28335541; 194745171; 256513199; 588647587; 72260706; 579066223; 76622789; 988431476; 681768231; 571557349; 206108426; 308365347; 351927434; 347234294; 867194970; 211950876; 83352767; 347538436; 486738764; 385008380; 206944845; 167218288; 441656553; 729442141; 31218597; 165022450; 462981471; 966786625; 17312526; 886160073; 63605608; 352032781; 724254796; 458418470; 300258250; 797537678; 103091768; 508639908; 582601742; 69160514; 524344508; 921469160; 684290004; 960835534; 790792909; 605677796; 652058070; 705722105; 715635774; 817248874; 814798346; 837351320; 92156489; 517583077; 593686690; 491952271; 20182918; 416203831; 644639432; 751787226; 694486520; 599372209; 807482998; 702800189; 332947502; 767515368; 720786374; 443407723; 851541235; 267059886; 13120877; 265507666; 339745463; 527016810; 255476210; 383833261; 362817658; 462343570; 359888882; 854639004; 180088620; 126054595; 781159544; 415054174; 836322486; 214834785; 814291788; 884083440; 933117201; 300331476; 215612967; 619499992; 838368891; 744192967; 514277829; 277484205; 924588935; 948741289; 529606919; 205840555; 859671123; 714555037; 418752497; 740745094; 373202385; 475986548; 426404826; 598371597; 881872059; 725466107; 838033092; 251065961; 518572785; 973614068; 358671356; 523079572; 581886104; 190373165; 710655515; 148435561; 514556787; 265975399; 158694963; 592201651; 393982414; 116907114; 18774476; 267727985; 565861600; 977345221; 35694974; 564332016; 563486065; 846820962; 17295085; 335825297; 482399932; 592161546; 820847705; 915928866; 86202501; 471533606; 601397679; 844104879; 776807282; 233250642; 627783162; 96993327; 950345122; 163764005; 314101301; 571875420; 746320579; 642132945; 137155361; 481530459; 174853581; 918875362; 1975755; 605177242; 226225923; 177742603; 844323421; 810884044; 555677759; 79497713; 377826339; 610642968; 578006664; 139568262; 165854549; 46384806; 514124993; 40308798; 925812329; 139829529; 994305424; 708539986; 976091953; 41557546; 628616343; 658586918; 506436036; 623734761; 216291003; 923720287; 369847886; 752427129; 499311111; 810064011; 814082952; 69323074; 666344028; 954212056; 19988714; 606530788; 189967179; 995784003; 16047173; 420825300; 170173386; 133436116; 625221852; 436193291; 789814167; 440076340; 366889481; 190965736; 908369814; 514714179; 230110170; 206436257; 939506575; 871916997; 383649762; 678053254; 817683914; 958637682; 500964256; 903768898; 460325249; 87109913; 939904830; 236353841; 714548688; 796494020; 918150481; 369418962; 170957760; 712939054; 334417753; 268423866; 73462369; 424452041; 663721720; 975462799; 396085637; 973280899; 510757734; 398573614; 766458548; 742412326; 562025113; 886673004; 829838767; 228596774; 546913595; 319267377; 618116543; 572381609; 247803977; 683222864; 574238157; 963202487; 236320086; 687400735; 297793516; 997245608; 996675339; 635389552; 669333082; 512592751; 875932750; 587799853; 400301033; 183615861; 798816918; 408519968; 68351386; 518277156; 531732896; 257180482; 170457528; 872466126; 917011781; 797414255; 808892818; 591081809; 814149636; 51956910; 591285933; 912284219; 40211521; 484229477; 652082280; 32607334; 143137295; 31508098; 693890111; 983841694; 362188389; 975709695; 136798120; 470861519; 726454632; 777775897; 74554038; 600007123; 975277766; 378266830; 926726922; 277383886; 464475513; 214186599; 946026087; 990651332; 838152604; 190806448; 574979778; 377618150; 549120191; 548735400; 836621467; 289366065; 301678843; 736623427; 778024077; 648990288; 363167715; 343578453; 172820553; 60469571; 514153788; 885828331; 184109709; 704502930; 375243179; 783831224; 956089071; 524611639; 664039469; 657044376; 45821405; 403901760; 309865518; 162516413; 485079541; 863497440; 909298281; 138352555; 287667575; 772465015; 154139049; 966595683; 707605772; 261623709; 967412181; 746381320; 444297756; 822642392; 417734384; 583335234; 20938289; 48565750; 165112854; 195112866; 574145244; 837642490; 393557688; 575234190; 505366293; 608459422; 630833743; 535003335; 297717540; 664507419; 546406516; 306866781; 406383694; 616300997; 751355597; 342804699; 910165382; 964927398; 441237469; 967548193; 965224995; 517407605; 548964671; 257203515; 951896096; 813607533; 212172964; 844621016; 833880666; 116778311; 715395590; 739440330; 855738413; 105265552; 335691010; 206747046; 690726422; 797075350; 352003689; 835851624; 400325479; 308260958; 346035373; 442656918; 230079243; 63303473; 877454663; 229626540; 204580209; 960532969; 395730592; 350735387; 576696996; 803012971; 809656807; 3618355; 967627547; 622134835; 526616133; 140525826; 268571333; 828897111; 276965627; 112774079; 117379394; 740770889; 965999849; 408260028; 229816352; 86820168; 738520095; 713573005; 936718587; 954798030; 343553637; 930143139; 669853668; 916847824; 491469648; 910005358; 439304997; 525730225; 167187626; 462231352; 622874111; 713309510; 875690786; 478500732; 78288328; 507677229; 790494831; 811364957; 184010585; 799805178; 730724044; 868051588; 377989506; 29537517; 754779310; 232895193; 114094357; 364202175; 997595654; 148406441; 581177473; 140622653; 377278303; 755372156; 802106099; 109903959; 357257187; 52944000; 106332245; 204056210; 178777762; 516148652; 309427725; 268026408; 969916428; 470534448; 246331814; 387812310; 345033609; 754098486; 414293223; 453065975; 101261953; 848156122; 696644732; 72209275; 44605820; 58132560; 829477489; 541643812; 626315204; 863179246; 344220950; 350262847; 295564615; 893181089; 127954018; 794621593; 809889944; 66315717; 918374213; 415739652; 314200715; 561461893; 591222778; 255456333; 657932189; 41387322; 958871154; 394492291; 62409540; 66845475; 617426176; 38427431; 689922529; 225019980; 79881242; 282018028; 231723183; 212854585; 541772964; 156226852; 214136510; 145182052; 738664183; 545629520; 243607098; 168561793; 482831232; 224564069; 859918554; 298393624; 723108177; 263764184; 606885679; 405260039; 782853984; 942773706; 858010793; 317040396; 372623895; 360119900; 448879090; 979312313; 974444185; 797731091; 716805321; 742897805; 618589214; 98763294; 756726084; 581269868; 954129205; 958963189; 310176652; 834512723; 670775430; 174788124; 850579096; 585431497; 722812427; 759213863; 490287745; 831689039; 922467142; 696922554; 785682700; 175926624; 620552534; 736950255; 533713670; 425658853; 942699412; 229529841; 374935957; 54580543; 105072495; 474234464; 961263354; 241128930; 903246729; 592029225; 421555294; 681196577; 548010014; 103316; 110604608; 752802736; 392290456; 299288989; 55279192; 260505154; 447368382; 548687811; 187475241; 526814002; 393126442; 964601207; 732492074; 776031440; 18824339; 157272679; 552894273; 299178330; 622570469; 540305334; 267480888; 104480997; 451748388; 544848403; 529126230; 28433533; 889776765; 298107582; 49055241; 553490657; 603577810; 199292271; 570808346; 115259339; 874001441; 534897623; 260309741; 669864151; 274002666; 434378341; 59093172; 241490240; 889351732; 546051358; 776028130; 975218997; 513662934; 51350118; 418526118; 368124381; 193661075; 260676459; 679778823; 508333692; 798758724; 330941489; 496912187; 752928666; 650746327; 777846048; 887359390; 202860897; 741661107; 512808464; 150378939; 651102978; 616653925; 561971174; 416022321; 766329169; 572247629; 923113215; 64290191; 143539847; 936112167; 646540992; 113423996; 190256883; 643894838; 146101704; 787301183; 670244118; 690513637; 613288907; 285001559; 731086073; 745125216; 473397184; 156355772; 797820038; 644883565; 378048450; 938548768; 805419473; 79336369; 497534273; 89824224; 46524778; 528241297; 52930953; 921415150; 298446278; 715703330; 93047225; 193361757; 837871629; 541375564; 261740842; 694746933; 931304646; 463720414; 968656529; 673302817; 637062984; 294902472; 767777728; 643308096; 405908621; 203699692; 703291394; 888569860; 997458205; 322949296; 487472528; 884812371; 955657810; 848222499; 754087402; 678646662; 924056413; 350935853; 622287912; 231650902; 365136259; 127545277; 527616156; 532021199; 153368739; 844769644; 742013261; 643028109; 957098590; 636584375; 279938118; 437649491; 344028619; 395575744; 153715216; 747313672; 974451996; 183963644; 673854265; 876986776; 569696459; 494424661; 797935409; 228020199; 949092065; 372368128; 667572933; 420327981; 1370335; 583841631; 697777781; 486099808; 785253809; 656856245; 244920094; 276729760; 636611249; 810298230; 336688525; 107588674; 883899196; 852569404; 922936432; 376998422; 129391477; 309405037; 86084464; 165458144; 120249913; 777756242; 693966639; 308115720; 507793432; 318181301; 45509756; 368088879; 27270357; 544804237; 385501086; 90311234; 538802495; 277587147; 352853136; 416758375; 132824258; 310959610; 979154124; 426980530; 259941145; 107852094; 494516905; 46266440; 388812432; 543394319; 75513376; 820288092; 961358905; 834709709; 534404831; 273670225; 114088298; 888023312; 563029788; 831754580; 640137162; 848968006; 500333685; 262734260; 730921203; 510137731; 75085459; 31524303; 360124208; 817394038; 700694434; 504215125; 422750041; 117525523; 645625810; 685883801; 538280266; 618751352; 844051982; 824694400; 122700181; 554842785; 202819432; 84963850; 33122832; 710884652; 543924158; 393669286; 293148500; 618325522; 451748303; 93364102; 651656324; 810837588; 842724532; 624100345; 202576090; 278839967; 619233854; 138245890; 531993201; 955415378; 968933407; 231652559; 239989792; 625300805; 326412969; 304691922; 726001551; 454028242; 540692052; 318552549; 229046176; 263958105; 938619911; 820922390; 241280811; 199994497; 852390652; 496387300; 324549679; 525886114; 801341270; 961848584; 973263389; 875200369; 20830378; 104489555; 336584511; 434771737; 318015650; 608547183; 478510296; 453704922; 812850446; 558796171; 402541731; 298144835; 880218326; 375789452; 318049429; 516220155; 983356741; 554155888; 624579266; 326474276; 73030277; 271334365; 376360340; 841575065; 531123959; 966203342; 124384881; 325298762; 805462972; 903819891; 211737550; 295491188; 945831876; 84956690; 101494884; 271001641; 483498391; 654500109; 679057882; 182503314; 8271912; 998633409; 394831691; 521708181; 1733360; 981073300; 815586090; 23307717; 367279229; 913024195; 563223367; 522341497; 353604960; 261125289; 695608402; 659718554; 389350797; 744022407; 959985168; 946822462; 734090527; 673247896; 326684372; 201903352; 877575705; 428992706; 23097332; 668053307; 261863569; 497025921; 301281076; 628203416; 637426684; 971619874; 914024705; 173042595; 574541671; 141718678; 76155353; 330917248; 837135062; 865772937; 977707271; 526053051; 463987019; 704765315; 907581884; 704683974; 163747574; 131418646; 922167641; 808143644; 908329057; 303032182; 612043648; 423055338; 897818238; 929999257; 867327269; 813737015; 41055413; 64312266; 943548738; 670789200; 208823035; 666075126; 486507924; 977897216; 14083940; 463257894; 193836813; 121049423; 884681659; 647149181; 286624458; 837287465; 851039543; 266229318; 138013656; 407873925; 146351768; 6461417; 19790310; 145337811; 459796400; 205770054; 610896410; 216382426; 497877457; 220982427; 533338440; 35235941; 228828120; 540433982; 937868595; 457529904; 775382022; 170636831; 738587474; 896698823; 731452782; 174735832; 768963931; 959201248; 892534846; 796155143; 993599708; 325812466; 727949402; 936582172; 435464621; 129491508; 574739847; 805699668; 969529719; 983159066; 920090744; 279231607; 420941210; 628466093; 476189556; 361221019; 896718588; 838297276; 189675788; 801836161; 885155347; 919495226; 554381996; 864331629; 229688629; 393033443; 66629243; 825891248; 954463244; 932652174; 915577304; 12570300; 245585503; 761742809; 433436171; 314215816; 992792055; 739448856; 73408006; 380659340; 557352292; 594351226; 869898295; 700987861; 760080859; 747512073; 167841934; 67684137; 465720746; 697935998; 587014785; 169388310; 48807224; 347743558; 17088195; 264885854; 23567704; 118589031; 336665382; 583116593; 47190533; 842054386; 361208602; 97590652; 697747696; 650830564; 424799343; 925806356; 615333311; 582652316; 624785716; 414369717; 577624611; 317390730; 605320126; 505479316; 368912816; 290628717; 304203636; 620396991; 868991186; 432544075; 86910624; 535913876; 772885102; 706254863; 651857165; 187870985; 831402038; 924587296; 924664917; 367243432; 286382187; 253488200; 620685168; 71462529; 51652042; 884763792; 878543922; 969793504; 778235867; 690915499; 75242353; 462398210; 181011938; 975835078; 717009334; 649422791; 642534333; 556367840; 773427096; 869479473; 492393490; 406156169; 663308230; 699624795; 502565425; 947613072; 282862777; 533960178; 399795559; 2897454; 648019625; 607114054; 862256458; 765700750; 627843332; 906470411; 855896066; 711876680; 503463710; 53435759; 653304614; 618735109; 2520048; 791095687; 210518110; 278536522; 715432822; 413748074; 13825926; 570414886; 43330261; 508286807; 370513167; 963127493; 617426133; 698024031; 585147351; 528251733; 95747763; 889793728; 368695373; 365409780; 897444625; 180038609; 852221481; 506333721; 446194484; 707776564; 670636962; 239242608; 663159594; 261470371; 266072023; 63621171; 226576323; 572530145; 521459548; 220305602; 868747307; 533469765; 948499024; 983084453; 351267715; 267174394; 129163979; 911938522; 821218787; 673888726; 281553664; 141905811; 345693441; 3061218; 403301258; 373606973; 955542405; 474477831; 304152305; 559630926; 655843896; 111429743; 728649639; 747637555; 672528639; 911153022; 55536710; 990659043; 585192843; 182212583; 745691071; 270185474; 669134167; 923040067; 208752837; 612966100; 15761230; 76441109; 112132922; 278790166; 190036272; 985101917; 470645049; 54110323; 137007610; 379547925; 848153406; 213615407; 349419123; 354257302; 46443141; 693748681; 35650369; 285209127; 70458428; 917103937; 379559938; 657219180; 684443474; 258121732; 114563761; 688607795; 46825595; 369563350; 312896632; 883719848; 835386317; 392121970; 773443188; 352794456; 389876434; 907422259; 913047329; 958242946; 172819754; 943027992; 990116219; 409700441; 476429512; 787438359; 835866423; 640795449; 782417639; 188839133; 389440421; 231910453; 391423604; 577397638; 271951130; 256892007; 504544994; 72475303; 750058158; 957550601; 603202204; 119921061; 929877118; 866291830; 78607519; 54856254; 761607881; 564490323; 443778600; 276060; 904949601; 512119573; 863851348; 882560479; 46747771; 619953152; 798826966; 618100748; 961303696; 699784382; 414698315; 832616899; 206473507; 378238932; 314948390; 229257613; 597805436; 838045122; 703226114; 961950848; 772637058; 844993324; 289781949; 339892130; 954599865; 353379600; 489753665; 593581183; 641192051; 924391467; 748675884; 771783268; 814840638; 346307077; 363027924; 196193152; 696890534; 1898295; 195867604; 281935631; 349469309; 62392226; 518752655; 668869286; 513459529; 825537663; 207438347; 200886105; 95927475; 898231708; 311857667; 303103955; 756348020; 817469020; 984435664; 303951566; 494857662; 72059534; 843232879; 490799439; 606537732; 125501174; 24138707; 877100041; 210278819; 488901650; 868829846; 402277466; 561975466; 593648660; 803853049; 279263031; 758211196; 978735008; 687464078; 414942997; 352944044; 291803839; 464016197; 74501185; 705684118; 202939956; 337435526; 57406528; 76173907; 280988603; 615436383; 896316987; 780307796; 805789434; 192367414; 727350854; 220133602; 981066016; 736990970; 434947406; 19473967; 133764983; 20372012; 414948469; 716916654; 153579710; 470082689; 370480552; 856231050; 494752289; 386715594; 327916578; 94407789; 411095555; 873175264; 320965070; 652683875; 593710782; 419560103; 413489491; 918367228; 981964973; 825510625; 872371687; 153374157; 99528025; 469180715; 41374940; 10661702; 127432873; 176499171; 247632838; 28855725; 724609526; 753367677; 629498586; 188224904; 281666628; 48255296; 227688489; 366307144; 478476068; 675526919; 449066592; 407053240; 623264708; 794871032; 739087283; 453890992; 449307919; 284457874; 146279027; 818402649; 679932333; 432824782; 187149426; 984466640; 881197194; 62498977; 871638480; 152189637; 793361722; 876514128; 72578044; 60299321; 744553331; 376322423; 802772736; 903881822; 270139825; 728148750; 496642480; 235702683; 829846084; 362504806; 819122937; 136605321; 408911094; 679292971; 817110185; 279659665; 655644079; 983303651; 22571127; 232499558; 723286524; 594819293; 706753; 669012845; 563116331; 306625666; 777347982; 32653856; 943521027; 123128225; 755510749; 761196725; 327977990; 898041841; 278262408; 489718575; 265482004; 888405032; 38749287; 42953476; 525901400; 8319378; 463846092; 926140629; 472358581; 712784375; 461241792; 637042695; 392668547; 774435992; 904985831; 809379149; 906772679; 356921994; 869609733; 307633214; 546285988; 751173825; 316739098; 872224946; 883574556; 154141589; 746560056; 934826845; 981943199; 332897410; 2192; 652659492; 626223938; 387238229; 437990088; 131867652; 562809824; 314248031; 367268403; 182497570; 196619479; 169065008; 99532006; 393674437; 156596841; 12237272; 810432365; 496782445; 219450011; 907385917; 440651774; 854629510; 649893485; 847961502; 335849109; 863972479; 366563946; 990043228; 452212651; 758677191; 179492606; 257029103; 680387388; 747003452; 551649481; 752968972; 500702012; 64827185; 317750181; 597669587; 793871948; 258572069; 611468028; 835687165; 795287851; 680499159; 642156482; 483113001; 751817252; 785782371; 779387785; 588656163; 195969465; 553523677; 191915494; 381944650; 992395720; 763166702; 330684827; 319080506; 356591004; 358963387; 417076669; 989562486; 666780197; 166517154; 68239187; 620755772; 797364933; 746193157; 753436659; 619116506; 262096085; 374604715; 235032778; 316526106; 675211281; 942030934; 580470502; 848328200; 801309946; 691686581; 468829606; 968653378; 821231476; 283512738; 910427233; 414916605; 673897637; 221420052; 174227146; 263469889; 828944097; 133276303; 145172368; 155652747; 604895642; 13398295; 52866090; 800533100; 66202985; 366176115; 239960524; 784184848; 727224596; 215864718; 464586614; 400637718; 278707855; 231274670; 493024974; 384959339; 327182263; 681836722; 1425502; 170848405; 852952063; 512215945; 524087766; 22386812; 241321806; 733305400; 85168158; 911982138; 938762810; 807243527; 960412269; 611915491; 580206772; 479169536; 773921779; 850340623; 863853171; 703856303; 104817945; 414138279; 356272630; 809828861; 225313893; 328924744; 138916155; 774761638; 20477613; 775339590; 2095187; 494071825; 681301176; 334616950; 861299875; 84666172; 255968476; 435038569; 963270119; 749326859; 803471911; 380934107; 518705272; 526366651; 612940506; 434537501; 869967534; 793070789; 628403497; 735211557; 801430813; 753339326; 634215190; 266088866; 627964573; 913513334; 353879708; 928825037; 48924605; 511356261; 38896469; 946152284; 589227196; 217769624; 524339629; 880557584; 973126164; 576262072; 621373243; 897920455; 801029673; 23473871; 885288683; 206989449; 953633798; 214411392; 65399981; 215220662; 674027851; 228118843; 675384815; 903463287; 315499297; 865546196; 771618671; 864693478; 903231528; 818197229; 524529171; 544374741; 759656066; 568272127; 938331296; 112098492; 2932350; 331032221; 834356094; 385721137; 346919086; 265108169; 89006657; 321412806; 780716939; 602672244; 141595305; 309770166; 316737199; 18823443; 580506550; 766325813; 372558996; 546683400; 701595816; 937668533; 134496796; 372555898; 500867674; 483144886; 173767011; 875040205; 933243915; 463752814; 990019613; 868571030; 821143544; 365914968; 513232273; 138097226; 931489576; 509974540; 42746507; 670176996; 159930854; 520693754; 177316886; 378952239; 835134520; 160826833; 33246251; 412463466; 616079976; 238365215; 806334674; 910755643; 638145689; 151489829; 575796417; 687338838; 545700703; 102399534; 789753507; 58350680; 442301973; 30380040; 187973969; 276860293; 10529067; 831442762; 630077967; 279979080; 317145227; 402757723; 448376710; 283665824; 250503898; 562160239; 699418723; 724642398; 830887049; 686912263; 821293871; 304827466; 858702880; 673553952; 263619072; 807263426; 435919415; 368372407; 59488916; 894694580; 322481730; 114673702; 697100440; 710855958; 970701722; 583336373; 220582845; 597506983; 982082689; 685538597; 575305607; 907832241; 402461991; 273790957; 854985014; 572506407; 125583006; 950846781; 914035741; 244386812; 639370920; 882301012; 70403363; 240678140; 116984746; 926738015; 499810131; 307116070; 581717037; 523561535; 533818737; 591788665; 123261521; 821122230; 204218381; 314369989; 749931467; 876618459; 852048349; 6787268; 112383575; 951515500; 828254046; 255907460; 701949546; 292335717; 738305791; 171871042; 344046938; 483761272; 899921774; 531439472; 512192278; 744121463; 273221131; 663835209; 283349758; 810905617; 668774437; 742630923; 951669268; 20262547; 954062870; 85094508; 304289258; 744382570; 237733984; 369651623; 631869267; 812046294; 841468127; 610262965; 169619291; 219031916; 749070486; 500573983; 509939606; 948227668; 418079994; 11345757; 55409260; 428443074; 825950974; 959448611; 285932813; 979603257; 231016137; 253935485; 202239244; 44862852; 621198066; 112343872; 340251770; 642119138; 317838637; 670666472; 243905799; 43647893; 296603849; 53734137; 790739904; 271564605; 153463579; 869031470; 386763986; 363268245; 182311775; 178550421; 562876989; 953731866; 174749993; 964766427; 351253755; 61898172; 232105211; 765995997; 82723579; 599246905; 813897906; 534174540; 238843023; 587948238; 55893034; 789444599; 691753337; 871938673; 8492792; 996494073; 331645288; 410844443; 842939353; 627009904; 434701566; 835611615; 208435348; 440497456; 227263632; 456340127; 620600643; 555256227; 935559527; 151326051; 513686259; 633111404; 952202545; 977264058; 601176787; 550454344; 165360116; 503040520; 966177170; 512706441; 838117112; 777503711; 41769242; 941287258; 887075868; 537603585; 841954290; 133614728; 639392446; 160051215; 324125447; 216552251; 206892861; 870764285; 439658762; 565788743; 277979466; 10672797; 710944034; 937184274; 504950057; 514111568; 560043214; 383053697; 611601853; 395311310; 915211197; 153517563; 414260872; 247966997; 743366467; 69049348; 693593578; 759566784; 625345326; 272326369; 890987210; 382926800; 929615019; 457952276; 797747600; 652953311; 818560872; 390836666; 725431654; 618648367; 279471663; 586959178; 294910482; 945650237; 420662031; 491649396; 752279352; 369776382; 854263467; 76197636; 339083422; 467960341; 959032798; 77114530; 659033178; 124382220; 542412067; 654100584; 463524931; 702265410; 453709769; 286992157; 947547399; 552268277; 77053605; 93655879; 934568947; 782259001; 550413858; 612339465; 102301715; 379092377; 751581432; 889067106; 351621155; 718616573; 173863364; 77456891; 112578538; 234736818; 817054906; 814273416; 589371334; 397942708; 671385688; 347777130; 862811763; 103776448; 214558890; 818315771; 705245078; 902724873; 768969227; 422505972; 585029973; 939561420; 549166931; 543967578; 901910321; 869958186; 525201714; 249684770; 254188801; 171196413; 515233844; 402295930; 364261582; 931537296; 613030428; 359513031; 214497759; 499339645; 419728029; 86707024; 152069141; 199106446; 839584218; 685998841; 494685727; 962252604; 843093542; 619971564; 558751181; 593634291; 32350899; 354419374; 384307361; 200086528; 874380977; 813951655; 835051669; 192515333; 322407463; 410128619; 621928849; 111367893; 759580082; 569442893; 414021718; 477216891; 705437820; 220428195; 637723943; 960600264; 660062620; 879263824; 785525176; 499075495; 991708110; 70212211; 543366829; 998892058; 658238906; 335226321; 255411589; 171095638; 35336097; 88045685; 516674392; 604824830; 282614942; 467363071; 937726992; 293574475; 740468107; 921395707; 102048009; 781775711; 817436562; 662861176; 680822381; 913286867; 868115140; 856559913; 936252239; 544047844; 807258620; 348007488; 630232400; 577548559; 918871453; 162069086; 462953792; 140346420; 760974628; 187027244; 143693210; 548272498; 998859621; 507380742; 264068531; 246695758; 700749574; 259632007; 911157169; 526405378; 753207981; 992651451; 162251620; 763742336; 453140470; 765051969; 95027403; 115246976; 554700724; 240773467; 666447217; 920450966; 339452127; 435307216; 684789239; 696899235; 406211176; 474321440; 686168095; 261363031; 140157882; 686167015; 401692372; 33843209; 854881691; 643023522; 461285456; 40306365; 538707044; 355186258; 141415379; 873736472; 552864944; 561575598; 582663527; 861505696; 483692851; 617786289; 33622286; 59305863; 185445432; 132057046; 83325193; 700279367; 248949535; 794270548; 633292845; 392246441; 627081523; 309418022; 440714786; 271564458; 139402603; 867248507; 51941491; 514688719; 369906224; 706623176; 252719754; 461989536; 668429032; 172217529; 414713756; 577129402; 144164339; 350826227; 188476444; 603148629; 595696074; 491950060; 176904094; 86446972; 380922238; 282530120; 762684183; 901464170; 314901133; 982751785; 645243466; 607373047; 130625862; 373695176; 985437769; 674297946; 454581226; 190386942; 166141975; 772535195; 740268300; 564560496; 777677913; 183871958; 868604077; 686092057; 396801196; 446703630; 495536090; 763121335; 889019709; 292783739; 673508260; 26784746; 531850867; 296677124; 750936994; 287475424; 34844611; 454725016; 992648457; 717188185; 996038577; 490056308; 119204302; 213522976; 647999798; 489638342; 170075585; 256164762; 426094260; 751528684; 927998702; 396215993; 718894230; 200303980; 738997223; 233041063; 869928386; 962123845; 202328896; 769435799; 172638025; 861810940; 84211097; 626622989; 190170802; 266205836; 810016256; 265995887; 849350948; 663581160; 353099647; 678426999; 664962987; 643085040; 25887832; 129251781; 355235736; 726899051; 944520516; 329622253; 358289405; 395719534; 656712509; 930908775; 878791776; 918347047; 941546078; 795373863; 179994037; 202069273; 273982607; 413251591; 402149349; 407039272; 997800486; 645823083; 609409490; 74000274; 501908033; 718480230; 789439895; 462663407; 985294033; 562302668; 859085962; 104692311; 810663630; 646417821; 325953929; 127025698; 355768988; 905947346; 143277169; 209953702; 177468524; 467175525; 377856453; 800332147; 281981444; 904946709; 921687584; 282246627; 281142151; 424066820; 683315601; 998740707; 98447040; 745844050; 19111410; 885818644; 593360181; 450529245; 523843454; 554810586; 916020529; 795628593; 655833327; 498538488; 205334456; 306836339; 232600986; 205430942; 272839032; 729618383; 109394413; 644666313; 750743815; 878411744; 27686645; 581847396; 238038122; 102028393; 835920451; 15269968; 505855777; 602560490; 641483593; 26827159; 108427466; 956039161; 508072119; 71997470; 440033082; 26404842; 957766654; 313490725; 846287944; 770188802; 730840959; 54720803; 919212602; 250388658; 106328127; 139035218; 992422758; 327038616; 401339945; 529578197; 294302563; 346836174; 644651888; 94816095; 849779382; 951717157; 967478393; 388407598; 454986195; 995850207; 448423420; 263375322; 332884750; 434846221; 552938789; 407863623; 286125942; 574892709; 347713260; 910426646; 173874133; 764835097; 776069398; 609154922; 991855903; 107618076; 629136123; 307847007; 710076398; 166180463; 132295215; 511807681; 925259475; 15144988; 595827180; 956118659; 457421448; 166203219; 172453806; 309993096; 648706719; 875470141; 123393178; 606367504; 301411557; 21232050; 471170024; 911759285; 538311690; 913477377; 276536945; 584653063; 431504256; 589948931; 929968121; 914272500; 674461041; 625871554; 985355345; 220512656; 656127555; 926799244; 351042012; 697774226; 455568888; 873323637; 22107964; 796360945; 383160754; 7965890; 4636079; 97766141; 199182741; 625620074; 959437964; 747976098; 968186125; 909303072; 922451235; 292676973; 489358525; 475244730; 276223295; 175500938; 986401594; 785461472; 702302204; 177521210; 738080648; 156839724; 323694006; 454667; 82688268; 665777686; 583646325; 450911548; 942038157; 885784486; 529519020; 143759998; 237787826; 723142937; 399932541; 381598105; 68932071; 409067718; 367972030; 843652452; 630818834; 208538886; 548742370; 625665752; 141164744; 216918345; 328715435; 647325440; 187471841; 922012491; 841947045; 797498633; 481945845; 507729020; 636881455; 310536307; 188347137; 995412217; 920616152; 267241042; 924676700; 356682078; 787542506; 421654194; 598596768; 585418037; 835714984; 515669951; 311327507; 766524617; 798783660; 999857825; 495995025; 604693206; 179066278; 94805248; 758649557; 453806947; 260316354; 476343544; 593943328; 959648862; 332920281; 873954041; 236776059; 839993753; 663967576; 454079509; 132631797; 383783558; 21474045; 703489551; 988816896; 245887697; 101112590; 795143314; 466929806; 850272713; 717600851; 752962425; 414648026; 192933053; 385061867; 995833406; 639520374; 20404463; 371949057; 834744590; 858149917; 18724796; 518922769; 689570604; 95738871; 827760861; 392519225; 804277944; 62006701; 751363400; 839853665; 28821129; 695163928; 65758410; 897498003; 137192909; 706062514; 396336913; 175332144; 326725514; 421460783; 410709110; 933654864; 346968131; 729740363; 112342416; 209813611; 831488109; 881117074; 106353373; 975587577; 249848856; 714344519; 46434118; 732584381; 617872645; 294267140; 950113638; 552897151; 393794069; 123953149; 622835242; 943734817; 882159653; 111782873; 510722136; 862207302; 837919105; 271729829; 206197516; 90227504; 695174798; 680799556; 393831093; 516037735; 539915772; 284516789; 899235577; 208359898; 419112869; 459972800; 787051369; 61234902; 821522863; 266996711; 20286035; 526426786; 114015659; 905902746; 178018333; 84719735; 692149934; 138193549; 1807567; 95759683; 285196713; 156237164; 816796678; 491360690; 872060141; 183696997; 354837137; 324939033; 70524281; 64893916; 61196968; 217390066; 309803538; 327981913; 829204157; 222229748; 153316764; 785717225; 7285302; 335434214; 224435104; 395044035; 869620696; 983474094; 561990986; 7138215; 724165029; 537359771; 442392295; 214472757; 388115494; 999724473; 116134487; 925708176; 746427493; 66439494; 388110990; 695779202; 787660736; 190107323; 811559999; 745417727; 443310769; 275424987; 133133837; 820291374; 958741339; 246153527; 86591325; 939988951; 617124214; 898061442; 790179316; 739813209; 230639713; 557133055; 69014343; 36224542; 362472253; 656301172; 233606164; 107307741; 672115472; 137033497; 438401678; 937910960; 718467982; 866662565; 853247635; 819192886; 385931114; 456696865; 343695363; 925106189; 556664530; 842187059; 289014425; 979935624; 943427265; 108276470; 37109300; 996374235; 723841051; 713359382; 636128082; 700513246; 9762195; 679089480; 972432725; 59538558; 60141790; 197446722; 475606973; 207152394; 949822816; 667573484; 554375829; 805701045; 52118162; 573417072; 38618014; 379452772; 734815007; 279448974; 165855178; 837684185; 303266367; 42775691; 170054897; 152941720; 376346090; 80027775; 196385699; 666741353; 279200277; 598319876; 565951881; 223948077; 829086261; 404416220; 765857935; 32132946; 773944329; 323122800; 11380158; 700999829; 843122284; 284109052; 500783639; 986258308; 935535923; 125641497; 843022069; 438289011; 231629648; 520124168; 131854516; 889483637; 547741461; 321354783; 590548256; 408219947; 374068408; 833897018; 905627122; 322048739; 980087652; 964141892; 249046734; 355599006; 84387793; 582727503; 239545611; 676180110; 74197874; 568227380; 944415316; 395492152; 496507001; 384407231; 903594842; 93861193; 863718595; 245393920; 390032449; 220461144; 237393608; 498814221; 415326199; 870627747; 348157175; 452381582; 275898195; 245829230; 395004048; 238412407; 756000476; 799618515; 294766621; 653924366; 772578689; 217194004; 13383335; 323679355; 504209077; 924360425; 135691753; 86745224; 426518058; 469233839; 510890765; 747589077; 282204965; 929404088; 636660454; 388671559; 780383597; 410164735; 561408191; 338050992; 738720900; 839907255; 670353704; 971951235; 994241537; 388133760; 413989946; 323116881; 580993974; 25522031; 619596265; 318094310; 194066677; 510414573; 723471813; 92026411; 364369465; 998196257; 286942023; 417151157; 565231353; 709548719; 85073614; 113466139; 843769458; 654957516; 826079091; 226407387; 915118241; 808155449; 103804189; 212188916; 488368294; 348073490; 586046913; 833754902; 130789335; 159722771; 537679333; 347911397; 941887342; 886559423; 462310055; 218746555; 317818072; 162731075; 585011230; 212891590; 89999079; 627688822; 99201727; 533174107; 236405564; 941961201; 526654575; 232547817; 733145787; 960574151; 212417309; 41626117; 442141825; 106251091; 471526052; 290923897; 843313749; 30797354; 4809073; 565104219; 16440097; 701508143; 295751425; 679202763; 868158005; 564537667; 948841054; 881260394; 766290540; 11877525; 626151846; 599497681; 604976512; 16158726; 932435433; 563793216; 166588512; 220711642; 182313362; 932806038; 948741966; 514240338; 56127881; 483537474; 920437154; 457815376; 33219577; 831050238; 451738277; 486789041; 28341652; 548599215; 256184762; 688898843; 766956195; 603771139; 781991718; 632924959; 900128067; 155680449; 860135633; 491145985; 757838692; 130353361; 911118752; 446989264; 604834023; 405048958; 521529631; 83745171; 197353357; 756209742; 130616944; 989172992; 636866871; 241333350; 633921845; 54039164; 702823451; 304801770; 704209457; 392353135; 456796204; 920665001; 54635940; 475877781; 574356206; 887152622; 497741448; 172846328; 996337564; 496784157; 992776146; 774773305; 245802426; 424931427; 681676830; 556994026; 167411230; 470797333; 758489785; 750526101; 786197582; 597309187; 504526964; 8671467; 23352691; 259810451; 781155488; 558397011; 862411692; 761103380; 877706060; 762078887; 868157366; 949932214; 58952586; 375625154; 316169613; 766310089; 873718677; 63574937; 723738531; 766010913; 255660332; 668893637; 958316218; 422557891; 988679660; 454334828; 267919892; 200520728; 885078132; 275448207; 148544634; 140121798; 341414418; 832664314; 233224135; 333976464; 698067226; 855006806; 840885633; 343344781; 493507943; 909182849; 373882003; 132689307; 889316637; 394966380; 87683304; 639006233; 636737581; 381648955; 434811206; 341341450; 517227108; 332592976; 621581375; 147467541; 375198408; 265382654; 881133095; 55958149; 55528482; 240782512; 195961042; 508744491; 670326622; 349887885; 699892222; 76115330; 716658120; 931988425; 203111270; 957621881; 850792822; 690363446; 727887423; 788372688; 551675848; 7490140; 378795091; 207716683; 777135204; 214787207; 390293836; 539447117; 472749299; 495565626; 122014613; 377679720; 61316255; 971106655; 442328801; 134855299; 59144822; 11591070; 458031404; 679628737; 881979320; 948203981; 109821190; 133386303; 162204191; 886207836; 428164456; 582889994; 369724994; 959418687; 756309747; 874394586; 409049194; 744385532; 278195774; 166177573; 841648920; 965120577; 444912549; 709017102; 239078967; 912449961; 295180561; 335254010; 776554113; 124120981; 530049611; 26643368; 32945773; 166066492; 123378855; 454477025; 420725788; 525057445; 310175161; 493093700; 382996171; 122385563; 226927649; 831373620; 156248560; 462675930; 262829716; 5935627; 888163668; 713507206; 8986278; 118927471; 773147951; 306885039; 734202050; 709867921; 797477260; 696278355; 749019792; 633303419; 42997885; 303982469; 442995272; 893197299; 909642011; 576478351; 645157265; 984475116; 980047663; 738136709; 193569505; 953490128; 496633540; 966373333; 570469921; 528698806; 40725479; 772576359; 846855922; 755465888; 128372565; 927340119; 671731828; 211143696; 948582214; 60207593; 478378139; 964879962; 832429964; 67225441; 433276051; 611895020; 309039068; 297082442; 73835777; 329334192; 542586901; 265468861; 887258291; 191832647; 643018676; 859547521; 505247833; 61414050; 894904361; 305444113; 746228761; 364225994; 448600595; 17912070; 446492818; 88940650; 438043331; 600358245; 198912011; 824114323; 380919646; 111909036; 980712431; 143763923; 66540388; 91597656; 873215480; 187074040; 215883299; 874264350; 39685043; 815838587; 356722824; 66647109; 986271674; 114254662; 736392323; 195293704; 931358832; 643049545; 442727268; 322942283; 622183858; 611536694; 141575338; 650782768; 146605631; 107644958; 153116874; 75857484; 183518406; 434150301; 963273499; 604962360; 864625186; 940417183; 291733588; 813849297; 592422106; 127538183; 535298159; 767861471; 253074349; 79965695; 740884808; 1534787; 473541126; 922277117; 323773930; 375366967; 269001456; 505461412; 633464987; 994684633; 235940757; 83258183; 380609367; 581641814; 407437963; 955085238; 529082049; 464190844; 600031502; 922478591; 542476006; 934990743; 604687854; 724576189; 907111560; 328876963; 157288400; 579060805; 997166061; 836747364; 973163095; 848862673; 77351233; 991701225; 864764207; 636146409; 674944220; 108342325; 727576231; 119647541; 20496844; 694512349; 109142555; 610271699; 22973529; 663023945; 682846684; 83501717; 674960792; 875467258; 318087805; 818576359; 256625992; 559206721; 287224148; 175269848; 132872895; 318884026; 207310888; 640310423; 280321437; 943574242; 142031719; 90953374; 360438406; 41948168; 476667208; 424692316; 662574215; 27586630; 680858420; 165601698; 916291672; 773987947; 144382763; 1814363; 226572045; 981695768; 268798143; 469638341; 414251809; 564695733; 261405281; 455787290; 414489201; 999832789; 232617751; 861562109; 49464690; 975169353; 150979571; 332954308; 804879221; 912102871; 527994444; 14450550; 763885657; 276570292; 760359790; 976893891; 368053884; 651327583; 32902893; 550667476; 245929523; 661512280; 804622309; 387411803; 614965002; 163346087; 965305930; 99833236; 287755895; 513469571; 289752386; 185748142; 112001107; 203321793; 78710807; 83957557; 581153965; 197551229; 933929550; 288710366; 761855704; 331692240; 473228512; 31055618; 184407192; 454582832; 661493019; 966524315; 571026418; 191097431; 426905012; 591198668; 23137431; 186610065; 775801462; 483966563; 955206559; 72602673; 31734347; 784674414; 400215839; 219237124; 320193951; 98727393; 224802913; 996394984; 205714840; 811674906; 590599948; 790447070; 434630805; 832198624; 894326911; 568068253; 282374654; 322266700; 816916734; 329349495; 712051012; 808215169; 979693290; 922551960; 70485566; 292882480; 578087326; 200858330; 986934769; 410636874; 691302600; 47749011; 444535028; 116662367; 187922641; 828435865; 526308705; 149794426; 442336805; 92965073; 932783805; 608168555; 111866713; 903701308; 521518008; 976577753; 934809850; 27718368; 67399575; 918984147; 804921926; 405018451; 266079656; 831346722; 804215915; 885642590; 439383863; 601959350; 717673691; 818138764; 124127420; 864137427; 665564234; 455814392; 114849361; 46680929; 712366270; 721588150; 794861795; 3110019; 871035123; 103242621; 390273494; 962899677; 966635571; 477860706; 274391779; 904083140; 521461063; 835471615; 84205978; 243031241; 552085600; 275824953; 909612714; 583979588; 536026716; 401162418; 543956390; 368491600; 536161719; 532609341; 23003177; 310552126; 644957379; 612775394; 445649883; 101258233; 414565589; 870353690; 364170210; 739121881; 102351382; 646464715; 26491965; 551682967; 387689260; 251043322; 494013141; 600887365; 392790596; 811436965; 927707095; 825586838; 121597225; 762285302; 159161105; 368813546; 830098034; 840822205; 801314624; 442966993; 360721591; 222273493; 475571825; 187921539; 281795729; 379829955; 66262756; 464916183; 807838543; 272683609; 228037003; 292883618; 847110673; 901758822; 343658570; 212062564; 332717421; 750171688; 869999775; 910869767; 114708012; 182342441; 439727226; 87532016; 938871142; 17529474; 641978364; 950543063; 219632234; 366091495; 968356273; 167196627; 954856955; 44353608; 276535612; 447931109; 732256676; 322071904; 289652247; 709260606; 352775662; 417870200; 277859878; 160973028; 72984242; 915756583; 313687691; 565942062; 698050295; 788917654; 886894; 305755423; 773010406; 711843854; 213564740; 152945457; 791411500; 144888169; 717223627; 996221599; 914615146; 394247068; 588334525; 727514232; 335638671; 718762664; 687437263; 505434324; 589826817; 512126774; 294388123; 275361302; 177738350; 244448070; 974029754; 497233585; 365655350; 325557834; 392427350; 617532977; 876153834; 7693362; 804195076; 812803882; 381207856; 780815611; 218630886; 389205300; 992378205; 586061580; 783767908; 800894364; 280524780; 764660560; 914608629; 642755538; 437623905; 469644366; 382121265; 251731731; 780833262; 594798329; 726599515; 53598904; 479655090; 832345153; 322299657; 295458538; 894164289; 586536163; 732464109; 426276702; 803795343; 318870512; 60576151; 942717610; 59216417; 745474258; 184788379; 626289032; 453321622; 279130706; 458533018; 114337202; 286385260; 703655774; 915502170; 399081800; 402312130; 77020477; 682075194; 278319045; 156383047; 533506942; 190579167; 87695098; 972341161; 680241870; 143737869; 912235734; 891501675; 449034161; 7785703; 33434248; 366256842; 761113035; 935162892; 684258246; 988025223; 465073303; 430923676; 4361860; 982098602; 348349652; 878149152; 860932969; 698064495; 929972070; 319991446; 412639903; 739199620; 360259009; 650628168; 472558559; 15217078; 741855792; 24034456; 638612244; 361964367; 724091572; 264035740; 100952375; 878034009; 775946372; 231748957; 270775771; 344907948; 638427792; 402065596; 263055727; 185652292; 941174875; 945510249; 798762608; 520910427; 980017213; 154892626; 177602516; 796814040; 394177847; 678481320; 991974266; 650712705; 187801337; 820952483; 986711563; 804125675; 944704410; 565772990; 45216334; 466192275; 254724170; 745304066; 317075074; 132045017; 632896197; 761020612; 257893050; 782173625; 819605033; 229854253; 371860097; 847093980; 634603542; 665427130; 452772827; 637865551; 454164540; 199418230; 607524158; 778674829; 258401320; 117647831; 847516299; 206297633; 527316; 518886740; 428318114; 496762990; 654243480; 547767790; 752157424; 596640024; 61739824; 402472639; 434888543; 803044433; 511225578; 648403797; 736299009; 164551166; 781751985; 524519078; 538199930; 908383891; 417018186; 82183898; 439950352; 465528022; 565614119; 947377413; 868395879; 352417487; 708709166; 268829646; 543953486; 737735438; 616917266; 777550458; 7891068; 410788506; 245518316; 777171815; 671771661; 54396752; 827342737; 359892730; 278529136; 139657064; 745069332; 824875969; 903579425; 991015663; 816145484; 667095761; 788492800; 132846254; 969788393; 366213225; 565773039; 490382150; 643977148; 452671389; 957160043; 67914762; 697061532; 439180079; 1093016; 704337507; 230840616; 444667249; 655071365; 69148956; 826279507; 206710919; 83432490; 656870957; 49202723; 489365879; 81269722; 141516809; 740317230; 812932598; 558015072; 634628979; 639214261; 470994722; 915826969; 798821458; 648633715; 918431034; 954522104; 516241238; 313086531; 478628204; 51839316; 492538785; 529683302; 470147891; 391116515; 463380486; 765265856; 723238424; 198656608; 621218197; 656297582; 462592483; 676587632; 107108345; 774011924; 112314398; 8012842; 896820212; 796336824; 855674853; 86125417; 494770094; 450197020; 258910753; 356135520; 35578131; 14376996; 637432305; 702312875; 215210383; 706237293; 529675477; 206472324; 916200417; 977602457; 774149110; 636244885; 20572841; 292492553; 423421707; 921105438; 427873793; 219452344; 94927427; 570885189; 147634874; 592455156; 808197973; 506350095; 787396941; 674985129; 452826257; 75036949; 926608674; 935953347; 608385588; 975175535; 244862213; 867668438; 822001274; 774022828; 796360442; 716273198; 748077008; 611096698; 454204652; 837179445; 907651202; 673639363; 116631291; 386829604; 254279125; 570870542; 4224398; 59835991; 387085221; 543728229; 746335467; 452560185; 299053886; 656605830; 912106432; 926744567; 898991241; 601221363; 459112304; 681432953; 612703462; 777077656; 3025329; 292123731; 629528756; 257889372; 448214476; 789925417; 769996829; 536958327; 769838285; 42283370; 883636488; 739985453; 693655513; 489583078; 268171979; 457615698; 736130539; 404295568; 55209742; 786631540; 934902981; 750531383; 873249701; 371530919; 438258864; 897337729; 131491615; 718595987; 549615318; 588289048; 593107851; 38826345; 881363435; 477060384; 321332439; 570258069; 694353561; 286165434; 438492801; 709076661; 622509237; 564633377; 991702621; 253154502; 381965881; 679356886; 343598834; 19719083; 89210198; 161050193; 111056881; 412249174; 650289921; 555955879; 329562104; 951625977; 670371235; 570657081; 415729291; 696582178; 345276912; 764414712; 412828278; 983619025; 45799396; 500024509; 751880393; 664882192; 855774950; 980574954; 47403979; 68234020; 657824458; 131306824; 177355960; 483079993; 264515771; 513053474; 81935744; 247690484; 857395693; 692282775; 132259121; 275257634; 66022173; 181068379; 733444945; 762166399; 934262831; 379098734; 658659318; 566587875; 76819664; 922526411; 166945768; 713959006; 640673010; 787436587; 425689505; 41350709; 40809980; 143007079; 795909367; 159291253; 387572907; 54407739; 551761083; 766783761; 576930027; 180043345; 387761643; 713366539; 772160373; 77077576; 519727922; 427492805; 528034230; 21279411; 145127917; 628410377; 546309572; 546790147; 744428253; 903104601; 169458864; 236141611; 847513525; 729165146; 394754308; 685673703; 964666006; 300289735; 907730804; 944535392; 592767041; 503787752; 361616056; 514488249; 440700483; 936304405; 901875157; 860973341; 338594326; 397489613; 457092813; 125861098; 53762492; 361799567; 36611708; 926598867; 249341000; 644707234; 165591954; 78111101; 494716750; 248484253; 32635973; 229064045; 362544105; 392447507; 410694230; 636076547; 848352306; 776951753; 4423650; 550349799; 572219665; 423011144; 882503798; 598551932; 627299490; 609869987; 631643391; 799939393; 481998230; 940786620; 643040240; 901440264; 576071348; 956596515; 855187569; 175344891; 816746713; 410175782; 105388097; 849433004; 978728952; 419341271; 988554511; 923608802; 62972803; 78981882; 224793511; 41173183; 132715077; 545946646; 992302772; 312111314; 96647931; 879285335; 470866068; 472227839; 634208006; 364216086; 845969337; 85774940; 612455959; 651322367; 82398401; 318825898; 689819754; 202712002; 812855671; 531340927; 500283006; 524288160; 619881087; 245922835; 860893569; 440234490; 700456595; 778126889; 227217215; 289054995; 631683847; 461627534; 834095483; 191088531; 900098811; 64374128; 79017279; 567492717; 667333874; 75927726; 882703130; 653608433; 203245054; 248569914; 860565551; 449226165; 402964569; 506085069; 34662553; 325988739; 8074480; 708216356; 910954960; 371900417; 918607079; 276546114; 936244195; 596763749; 384511805; 992951978; 412963820; 723001015; 780583209; 383408740; 815079569; 951280831; 631656358; 74302029; 970120280; 244187901; 269198107; 570090435; 814022594; 955772265; 898839077; 412439783; 659272495; 891863297; 810105771; 231919786; 792089459; 524138679; 784219523; 666130284; 303310442; 878017574; 552283481; 537304401; 395718219; 648110750; 474172996; 216558093; 551212054; 906989464; 681696048; 496583395; 13014889; 460577570; 517703201; 21793957; 61403556; 722885363; 642995281; 889700493; 181210985; 634085056; 18171155; 679004411; 115795981; 597542580; 617667594; 209993656; 672003746; 393606560; 609515466; 204529604; 795260339; 440162325; 725269933; 29206980; 818786002; 804852299; 347150475; 26875881; 668410949; 842328308; 265026531; 765158372; 101705145; 716111015; 468176773; 727440806; 220401855; 593237273; 229490791; 448967071; 268212830; 953499890; 430900749; 569085284; 198872094; 567921270; 828051365; 88189574; 241850884; 352219989; 526565988; 492105785; 289925728; 909340542; 450463698; 687450878; 81473198; 973553328; 485448871; 753662175; 476071443; 73550588; 577654007; 163321700; 85315822; 745429451; 765206800; 939827772; 875963481; 743263350; 293817491; 630182081; 496827089; 817321585; 145171851; 697521600; 239509419; 155231912; 280580260; 697567793; 136609723; 120695596; 432981589; 750490258; 334026853; 484256240; 855800664; 849656113; 680835466; 530102635; 334336154; 519976095; 487584884; 500414262; 773525893; 263516442; 219474183; 907111604; 332537952; 433959397; 525813637; 645865700; 966845350; 889170495; 330797924; 835371408; 404626641; 334938854; 301780476; 314704877; 5927504; 828120981; 625871976; 612724185; 465268710; 139857856; 423949188; 250263767; 269162447; 133973142; 436353933; 945531027; 420548688; 481668853; 233084409; 419844797; 324686364; 823700817; 28684202; 826674160; 237148702; 327044276; 413174733; 514506882; 22544627; 293574881; 199812281; 244627027; 108618091; 508367116; 533877532; 698929438; 872658180; 309226868; 858572015; 455833626; 311822059; 778007344; 615373837; 657285052; 422671164; 102165814; 672993253; 296552528; 984561714; 396570635; 259412694; 262958464; 557750676; 743756848; 385070208; 357139391; 812415756; 776235466; 524368647; 276404479; 537683230; 729322750; 102160572; 586819620; 411324656; 884262427; 332909809; 600814843; 948990041; 399818652; 542112665; 187197822; 597252619; 600125853; 637647506; 544526832; 830127995; 617658269; 786681117; 565577862; 396826486; 153470554; 751416426; 508343683; 666794332; 608513467; 218849866; 496278583; 793184317; 644492316; 448446237; 64541586; 280767354; 393587597; 900358101; 576199471; 392539489; 168128812; 802159795; 545613990; 822456303; 431787134; 415304249; 792678869; 65677500; 274923574; 730533137; 139541209; 94516175; 762927462; 36897881; 799724385; 417610070; 779674174; 638302105; 939603468; 506277941; 546412843; 225684; 42997503; 369092994; 463914790; 378041206; 986977370; 435220144; 937748452; 147381396; 527275705; 963863390; 838770262; 809699519; 146215117; 296210905; 916398315; 381406954; 385221087; 459317093; 170230458; 986238765; 699049128; 292431221; 141530404; 117797892; 455525345; 256555399; 666467778; 939499067; 420691638; 115690183; 857397295; 369201016; 280257691; 707679067; 694182194; 815489247; 630024650; 62491526; 610661671; 468625537; 332972997; 33361760; 720944887; 685630975; 499966768; 165062098; 9563415; 114981388; 596289114; 564174217; 414592399; 732164890; 330546863; 792598267; 449352001; 480865981; 596376355; 639951600; 209817480; 283395779; 822266252; 54748003; 45690187; 122109637; 505823800; 326151015; 358400737; 73837174; 13972919; 766876242; 230631016; 867984102; 437242560; 221817281; 775566548; 221746374; 392979889; 455297600; 23626541; 271776741; 34500403; 282087630; 360462656; 706737466; 945863947; 841967608; 564662504; 516315910; 335102676; 252632236; 988450464; 919398147; 85119231; 606268843; 100268214; 620747724; 178919376; 726707942; 496613764; 745024029; 261992530; 253570057; 858132387; 472472174; 593728303; 327914959; 216421901; 446648858; 534878636; 665058392; 880813853; 299486483; 189203199; 858295416; 528657051; 629022081; 163486619; 622365914; 350852143; 751009730; 249753455; 748433547; 218120833; 507180868; 911115211; 59841376; 238744901; 249649260; 780568740; 707527508; 781476183; 110377533; 748826752; 716492568; 56528514; 902289048; 861299606; 883470205; 488340975; 151569517; 265660145; 679638041; 231951854; 995181716; 874497547; 191189755; 300166038; 552245348; 751360289; 457106583; 848878418; 798734896; 210231026; 932806680; 275253516; 132707267; 650354000; 545375181; 111842069; 514933207; 506736283; 763012410; 166500160; 467255815; 835728024; 886337719; 7423584; 401404087; 348995925; 906530252; 27329724; 195431881; 602829403; 708200851; 756557429; 836582872; 463807339; 848898327; 708674549; 344406822; 726560471; 201707459; 424898550; 243058951; 347398986; 990640001; 43278402; 304626730; 125029228; 761461403; 296500759; 556557819; 234854864; 738380400; 615538704; 55973811; 909351836; 108913710; 129457895; 69389340; 239606469; 470665490; 89105499; 589333495; 585279497; 553119914; 577779882; 412885735; 337363130; 344684352; 500356824; 761192668; 227675827; 548908931; 339834126; 191689423; 23255804; 25899994; 305323570; 80355921; 346507605; 125949268; 483219314; 533612708; 538098365; 374500291; 55074958; 504839840; 104891452; 194243473; 358666429; 661037675; 300094280; 49545714; 54786773; 32279794; 543919390; 818805324; 311068533; 886108551; 66793683; 927911011; 198981426; 643826860; 556078974; 540408232; 715531942; 152341837; 936043466; 816991944; 892278862; 435558112; 352193230; 155808563; 223923779; 183466745; 46962780; 378469678; 563368937; 981012759; 758061531; 316354699; 876198285; 363050383; 410625862; 749888536; 63226210; 196556368; 90784624; 481776393; 707634356; 733861093; 378216077; 747026400; 360437925; 370998997; 937363520; 512403871; 764800668; 31295508; 415414821; 499087662; 667897864; 837728252; 898924818; 492976663; 41623519; 699884705; 946894626; 378252855; 32850173; 427961728; 801113015; 29142557; 875833946; 916800261; 826524401; 507335150; 30272771; 250348252; 231974665; 50347644; 43200134; 909235590; 959656527; 734310847; 395571189; 251705795; 45163187; 666680456; 635392353; 190943831; 659985807; 597256047; 89384145; 526899415; 961156890; 853963877; 437021427; 843492168; 906872321; 684812699; 84793550; 876585623; 309615500; 181578226; 202684043; 608297473; 977007229; 766896331; 280330534; 863059731; 38329256; 465286939; 872683566; 213855020; 256429573; 640624282; 820067827; 847017955; 276034649; 7201311; 500648246; 438603590; 258331170; 372678923; 25133011; 903168859; 597308779; 158230717; 865964699; 981453012; 286857750; 443247972; 11790168; 188720686; 547172030; 376363023; 609683144; 428614632; 915373570; 509018488; 191937709; 123045756; 861212877; 16877136; 97699742; 502840819; 879212773; 382957991; 289983146; 719564206; 46779625; 891853354; 237707400; 801278201; 92257839; 250923060; 297390723; 279796271; 247244642; 371503988; 872486430; 964203989; 409092985; 226029674; 487283298; 914850196; 96008465; 319668324; 4695367; 775160292; 791521060; 955942438; 692409700; 485512970; 657696622; 661281474; 401892499; 842317887; 216456950; 792752416; 79451270; 922131916; 294839334; 234141295; 852951179; 926568728; 579911190; 28620941; 182976160; 158976315; 866936130; 848260973; 341740042; 788480180; 332009487; 738572978; 651410322; 442842075; 670243602; 447884846; 390114538; 21452290; 232503372; 351034677; 353038149; 932544268; 569157823; 397415061; 609426261; 138432648; 202767729; 661814990; 956335343; 126843779; 384440535; 505571778; 980226854; 205448200; 866311079; 785063764; 487443575; 775721175; 658150361; 958999301; 581709113; 508925001; 867836012; 250251595; 303403046; 558275857; 540537670; 519339405; 888782612; 849827258; 374396963; 44165798; 591719875; 402343329; 24350016; 190836097; 380364073; 498561891; 274091866; 800216719; 987961989; 497901878; 43461330; 700290446; 440892929; 546356396; 651446615; 160899048; 829343559; 116293616; 309843921; 102442901; 439391982; 237783462; 503943874; 898365646; 125014035; 606192718; 434723858; 375290967; 125876818; 507276353; 5830030; 114251510; 447579051; 475349555; 277690344; 913194321; 781810767; 459054424; 327542948; 780086815; 205600525; 810446607; 173832714; 558593781; 527565107; 606743237; 323302728; 979134514; 499936823; 663322998; 974851249; 107490351; 439936812; 586355137; 329663100; 401748901; 524960854; 245283367; 504492821; 162422113; 331099537; 689126379; 937382179; 102392915; 177825665; 763423223; 409488099; 315306249; 906615556; 282474948; 677353915; 415943106; 557791799; 305745405; 421455224; 454508527; 940299741; 183998628; 727705724; 925110103; 894307173; 363647427; 713012420; 22532035; 660284583; 11828639; 530583137; 955063017; 781430665; 944008165; 276296892; 458495592; 888227965; 931519294; 696994189; 413990725; 383339020; 768207525; 352984195; 537296036; 383944913; 858381101; 699690328; 905103450; 439535625; 658405217; 720202498; 601398566; 704596860; 369863420; 663730969; 278214691; 55641729; 698693068; 486794840; 130481722; 634621766; 379166910; 332971774; 159388572; 251167744; 561464420; 991181935; 178262956; 825929209; 462210031; 864755480; 712185089; 153997407; 786524845; 35889050; 259124198; 119710533; 904017084; 100425467; 155269054; 867768801; 579753659; 842290148; 186742776; 418921551; 211185016; 213742917; 155781881; 501537961; 222663062; 148661954; 890698166; 356966631; 614378593; 471968853; 843996490; 572924322; 24613238; 124081443; 142313821; 979119853; 688899150; 564091061; 545766764; 213765954; 612614550; 867898770; 992944106; 373847244; 459726042; 907544974; 149815555; 19133910; 691260535; 244327437; 170322599; 166687243; 884283747; 882934687; 428267603; 524775519; 190312233; 19892236; 976144914; 24096898; 606679946; 343277347; 522368157; 181783325; 545237035; 937638705; 338068696; 42304124; 900164247; 180492934; 63039260; 907008506; 362179153; 177662829; 245446151; 344263710; 918698183; 795666921; 789205924; 486910270; 501544911; 558021472; 646484670; 357458234; 255909001; 170520381; 556054427; 471524195; 17214972; 69367764; 848063147; 327541364; 595392862; 875714342; 903113896; 382921395; 716097696; 711586273; 267967551; 452344407; 880009039; 28783344; 779242954; 77060562; 481086139; 360343136; 108177268; 8598763; 40848594; 809123497; 797113363; 13979441; 483339819; 896058347; 598988857; 919954268; 296635520; 107557249; 119505943; 812365724; 835542344; 678522088; 2743322; 626232930; 936205306; 246546919; 553078520; 334172963; 545105537; 484990099; 473636279; 996426651; 606617284; 113556733; 498837594; 826832860; 953247659; 657337620; 741533252; 739149436; 811481603; 495831105; 805543385; 246516753; 387285761; 792205130; 188466744; 925734281; 97103027; 990239510; 68588072; 926506843; 293751142; 20877978; 248092379; 818957877; 752459570; 894149980; 697924344; 518227142; 182171690; 123134231; 897644960; 780350760; 911436156; 541502543; 503251539; 331489145; 746339985; 302925112; 384782831; 929827443; 710478850; 174099936; 628776506; 754185193; 644809381; 344637037; 365139008; 918250829; 890138354; 347251138; 659973668; 906714914; 87830316; 806369729; 579738007; 828415710; 905860092; 337866453; 949482296; 946507105; 124298559; 357098308; 851734768; 562645173; 527817579; 957662326; 710678666; 35029286; 141192566; 379756881; 315311457; 734890957; 620019330; 420995922; 363281371; 553313209; 582770718; 123173546; 776433211; 248627708; 935908452; 889157617; 767195579; 212855103; 982150151; 424306659; 148567917; 706111525; 613721683; 831533695; 811482223; 365507720; 737834911; 840967903; 588731867; 864415759; 720731220; 189144708; 258581450; 726794634; 845556913; 946594141; 225275837; 145432171; 302436733; 555236481; 21427587; 587896816; 183172551; 348751876; 980253513; 640104576; 445012454; 617926677; 769443484; 207457127; 459391019; 587884413; 987216028; 116096532; 352920058; 927875340; 763865983; 228297117; 196880980; 503959725; 976331708; 936634556; 234997151; 658918949; 241118641; 752349768; 321775034; 475928318; 625386233; 626447830; 270016662; 878030359; 696947796; 38522765; 300421187; 838257225; 431346489; 348004130; 797291521; 420351692; 912378372; 531937948; 2904073; 548202614; 198769456; 844684035; 633245563; 160486554; 165546420; 786075947; 173909195; 896905728; 695171859; 657216987; 281645645; 754702588; 472281440; 3997669; 867303133; 838833991; 772972692; 212257253; 557166224; 40567206; 99879901; 849909818; 902676048; 181480704; 956024786; 773838228; 935013661; 426119407; 825423274; 892951399; 357137028; 64037843; 570189418; 295046251; 425017233; 51247859; 973959001; 946244520; 614061128; 781455514; 972614609; 696146631; 521032686; 133860682; 959875993; 82183382; 139161703; 279322483; 768631545; 710474713; 651300672; 542071466; 951676897; 495986378; 880285913; 773083424; 308423475; 277126591; 449383133; 7726186; 169978299; 422293608; 536207064; 550260657; 878274543; 498235037; 965978073; 225097053; 759164300; 719657282; 513146806; 682914779; 260201109; 694984536; 205975863; 12383496; 518877660; 748121550; 408196007; 108709300; 963427875; 734031080; 849023573; 201429092; 609315666; 621806624; 132174241; 595967507; 258768390; 822288896; 935995708; 66030739; 970974589; 728425857; 88193748; 957615321; 720758678; 594586857; 482803770; 574061466; 221581926; 902122152; 129251632; 172464764; 111645284; 649544137; 376011398; 981373832; 99510149; 322062494; 549042905; 32239745; 632782304; 475954; 727380918; 5146060; 697172694; 52704761; 907286709; 10105196; 443638487; 180435053; 775585849; 322179685; 531607693; 466890608; 853833121; 579833264; 642627175; 785604292; 922808630; 197425785; 218776142; 641056039; 452543051; 397383922; 903166312; 677463527; 354489745; 761351967; 985080563; 219778406; 581106113; 272432793; 291405435; 645643057; 155139137; 576605355; 548037512; 673265462; 980259800; 206983569; 9277482; 349144951; 428308395; 916379262; 214184430; 96256386; 200468746; 794862337; 214479529; 297767260; 395999407; 427501082; 819584564; 244769277; 351072414; 687600704; 743294089; 912675110; 594716870; 66584939; 966250320; 932427325; 547766184; 388102572; 835772940; 7974684; 705962708; 664799181; 352765685; 49475840; 847713140; 830434093; 536887699; 603000036; 135407433; 618920050; 585927386; 817330490; 891185141; 221711434; 253875591; 911074386; 160743379; 153432301; 178149838; 862638119; 636596557; 756630288; 200391227; 574466044; 596736109; 598616143; 14879197; 335762070; 996826887; 908271429; 388621970; 487538025; 163104572; 996108040; 536123935; 584453867; 882283697; 117560809; 259541975; 182772280; 819948279; 89264416; 449036357; 676988152; 598860070; 720906951; 556689277; 450807449; 507426058; 858758621; 140926833; 281547304; 521255171; 138533966; 214258572; 530390608; 467581644; 45221833; 669207039; 434305708; 748714357; 728770708; 405203926; 960537961; 717320121; 339643766; 14908435; 485544927; 550818862; 506939994; 696859470; 925359216; 988355999; 135588002; 538287948; 607755575; 24062955; 357866392; 677641500; 839651492; 469980255; 249399681; 337211831; 54969732; 340609260; 963221663; 880478117; 732781577; 280371762; 418468848; 744629258; 125380202; 356713790; 79693156; 405213903; 197592840; 174494699; 324213536; 235448412; 146214242; 790579918; 910727713; 471421598; 529270537; 656538006; 368984664; 834044197; 412394767; 496941147; 334487799; 672077241; 592956255; 896296175; 894401845; 649841356; 180212586; 858042869; 642482850; 441725102; 942682254; 732279346; 582580336; 273903172; 372307407; 332234231; 66333947; 526117717; 749664151; 459857426; 248160828; 225717648; 790062680; 77236154; 419653995; 821166783; 397544390; 280128042; 943600161; 264702671; 114352431; 11599334; 622532225; 802214998; 922346; 172559713; 683685941; 250557921; 607595193; 725846330; 341571312; 493773439; 1994619; 164808640; 437532097; 668472869; 434993375; 161095196; 788893648; 706139106; 750295655; 897268456; 615022653; 818800405; 434790152; 652085260; 107182067; 534960655; 30941999; 399581804; 484659829; 400491966; 240865672; 610631292; 747690168; 598709032; 650793969; 214403426; 169620570; 290760950; 393871644; 549403283; 407333390; 747690225; 163215833; 664477184; 350809985; 74078985; 689727500; 701103044; 742303141; 700667100; 772322457; 577985468; 33707910; 123352122; 592484673; 995333186; 708371729; 766944846; 574970692; 254781940; 541708397; 192190717; 732566421; 970594654; 190304906; 343122170; 184017886; 789780971; 235670826; 227529193; 470480840; 37648794; 689387113; 202966054; 574566232; 804770098; 759653013; 798214662; 327599851; 109494921; 245053572; 312138325; 747072711; 884563601; 679956528; 747217584; 633992640; 736780402; 373895678; 977582016; 768862443; 231121174; 218786911; 172846506; 534857325; 640442804; 50286004; 223507040; 63358199; 47640394; 777395478; 151842594; 186438425; 967784508; 929436148; 40690597; 490496427; 690053428; 598271283; 362014543; 416237935; 5141164; 940325817; 390137499; 826883440; 956963276; 794776354; 528230307; 985452332; 448218148; 45701621; 859444276; 41293330; 288343550; 766589685; 975593080; 41427159; 733961567; 178011131; 911222165; 973610163; 676799941; 44550913; 453886101; 691129800; 832556347; 967085573; 612817598; 988174766; 426871786; 905658570; 481070334; 470479757; 635208009; 877677907; 529168890; 100216632; 167416604; 728490267; 48554472; 933249436; 62680778; 75974806; 420704481; 960541669; 136180257; 840809100; 805988582; 543840577; 893217221; 296243460; 10161384; 870645084; 78310377; 891549330; 329503648; 636745435; 116889865; 123588229; 758874443; 937101217; 409878830; 996019463; 199209522; 191553278; 283010534; 861441024; 407528222; 209295046; 524861539; 63199021; 2279819; 218141595; 461324892; 996046776; 827022941; 958321836; 391046866; 505055038; 326486330; 870009919; 181847635; 232365710; 459173621; 586236628; 879717612; 249203751; 153392615; 523023101; 857306172; 925699895; 118956408; 508393091; 432790089; 237500699; 356281584; 742554552; 946310947; 978542671; 535522123; 625998780; 103429283; 610007369; 639431643; 134016987; 66119474; 61112638; 506563181; 570471983; 895132727; 498949435; 459971124; 249881230; 138978320; 423112666; 315921994; 88997362; 585681619; 880712045; 138221813; 571206056; 432845137; 830911181; 73220146; 439876119; 227119702; 564744171; 984943360; 514625649; 993409496; 34456918; 335484318; 175085375; 12009487; 224819623; 458700869; 233059406; 737913424; 241742672; 120421402; 829212830; 160515605; 141747960; 872283025; 206923978; 948413863; 882340115; 884403857; 438714362; 138734905; 924791619; 30474198; 392457538; 971554813; 208861957; 463782274; 258734454; 522928168; 554105121; 834831562; 707465442; 147385827; 469401887; 407934237; 956557509; 586732404; 286273033; 9439438; 427336457; 405453540; 734578789; 75777251; 743536553; 312952551; 807201019; 719229141; 18704873; 955396200; 925274735; 256535340; 75976725; 293996987; 96464497; 662532954; 629244412; 228373197; 2251376; 188220214; 124752392; 927956699; 556292031; 945164321; 612397678; 936173797; 565616637; 55344386; 831949901; 188703119; 566541683; 437174895; 513794248; 88308412; 74704734; 222696142; 810565375; 808023794; 667631724; 671823562; 15585503; 394588763; 12632164; 225788257; 985416553; 789039465; 269777200; 388455753; 241991996; 161298600; 542797998; 29055703; 630250597; 389807074; 560417903; 789087885; 876092352; 707403584; 875354069; 63512764; 23798842; 535478904; 839354711; 156817066; 816591472; 847966224; 405485816; 992502048; 303670794; 792266559; 606611261; 357945754; 325927609; 298144288; 364755983; 16354151; 182077745; 483541796; 505830070; 90800549; 776837831; 438657269; 510240377; 81878039; 909318643; 882767291; 744582804; 210307312; 287515798; 653485572; 731724493; 301225037; 143181092; 847897170; 401389487; 852645156; 326111491; 856111092; 366963114; 663142914; 891204192; 218974434; 578682162; 815578315; 374001676; 144821451; 472824044; 384103551; 987417480; 640394281; 178846731; 419824749; 127060054; 244545798; 602385471; 547927694; 954786848; 953538526; 934731307; 238895497; 42668070; 997905616; 357284621; 816901224; 235553760; 637635019; 104691758; 279223423; 530640007; 538909175; 93179652; 137708189; 565686463; 109059019; 505041412; 679026520; 807935414; 953371576; 991631087; 752290960; 849584241; 179728441; 52288403; 471210852; 493818908; 561381371; 79231197; 823631973; 677242455; 235216897; 56303160; 74994289; 289729481; 480884679; 242776241; 597217227; 57046665; 723392081; 87995894; 568402591; 633085087; 553242884; 76967736; 973473687; 977269943; 939060479; 236346759; 307574471; 548827408; 238511270; 607830769; 579318842; 90554404; 589652761; 536117902; 358169860; 839391444; 243362868; 762139888; 548925830; 930639844; 928600632; 167161105; 856187412; 397456574; 855502146; 54378365; 489799824; 21921949; 971765922; 168564168; 474979166; 499886006; 993764123; 991552839; 395273030; 323375742; 609140840; 444139243; 851140661; 831903750; 549711905; 439852353; 677306112; 28062859; 233786291; 90022157; 148797798; 151033868; 338426910; 118778440; 64185437; 311852612; 382264739; 199334700; 874797393; 837449793; 137045101; 741141912; 764398166; 645854725; 52899497; 518483978; 899224637; 937631544; 278301410; 686325646; 983625782; 75834074; 656845285; 325485715; 15231346; 208228923; 748981614; 94611302; 80092524; 461452957; 309936111; 179154731; 678894565; 361674154; 77414080; 955280064; 279946708; 818061092; 151410450; 979660792; 28747351; 232710251; 234525915; 82412799; 420696669; 216650111; 201390630; 195452140; 402148651; 360033369; 339941384; 110368570; 558865647; 854774039; 458397599; 47689154; 879538328; 147187060; 148597962; 201965620; 178378363; 901138785; 556536551; 362461088; 97279837; 283678855; 638634652; 305056112; 66673850; 375058007; 213504874; 590865712; 289373194; 348600478; 468046815; 920164515; 550581595; 368021395; 761821403; 704402017; 222699276; 183071783; 984627181; 625478677; 312646600; 802477541; 316721457; 594940898; 993356568; 564822351; 881152123; 425399099; 909206342; 900007277; 854954341; 123066083; 613351794; 721946950; 1614907; 56470973; 830938456; 857834771; 388971484; 590500533; 33820835; 887986442; 679675220; 116734194; 968297751; 824830031; 781459631; 863211121; 965965448; 213237771; 542742863; 663779145; 303746323; 164792166; 601554881; 492588745; 887839589; 284563794; 127449792; 541569747; 341386844; 712719355; 551845840; 330865970; 965243966; 510022626; 92277597; 519100917; 556995751; 131196484; 799101001; 604386500; 32607587; 955857209; 737124038; 298748379; 771802076; 478723150; 521737127; 103447350; 45624085; 954944717; 497867921; 878218662; 655076141; 650093540; 355113226; 766430760; 976935339; 312914296; 134686624; 309919478; 250460497; 595990014; 580010718; 165452616; 635106454; 163266029; 386308218; 297213713; 684144629; 413032858; 35015691; 796279677; 149719926; 50248479; 492866972; 518841732; 936558986; 497326626; 746329640; 923857349; 937104309; 925339167; 204160254; 86334603; 749061765; 943666102; 433414758; 972347360; 389897807; 900779609; 157513719; 786321316; 78351510; 186214580; 672925056; 642392393; 229968294; 630448905; 688664936; 979724689; 660936740; 249588028; 451154857; 327364503; 747544041; 457640616; 708619755; 346129863; 423635682; 923567495; 209309993; 629377211; 723222266; 810213457; 332713404; 821821352; 319824599; 516480654; 936720964; 65729115; 919991597; 541260414; 343197303; 429371507; 345713013; 250448528; 14189279; 979037470; 226076680; 131347918; 603209236; 515102331; 249516437; 83202974; 933271132; 564260202; 506823408; 625139590; 671506930; 146427613; 162715498; 506956471; 308059018; 808066128; 700875276; 164086265; 240193129; 131309642; 230153350; 874207135; 981856827; 226658793; 933991643; 384576778; 381616436; 68612374; 929392133; 727019245; 813617889; 181342357; 867408156; 17402533; 9591570; 391533585; 973239968; 372747648; 387285947; 174723808; 872219108; 573589946; 488290672; 718763643; 840682925; 346788784; 191104474; 356592058; 186900455; 435608532; 652980281; 844359774; 499313230; 923372729; 848981597; 360604722; 931579095; 530077117; 344789266; 128030394; 538059672; 201058822; 354269657; 795170300; 46988854; 833467330; 622491787; 774412964; 488881226; 685721684; 592777622; 732934099; 740487815; 541622835; 759161960; 365496649; 900743943; 20767609; 754448033; 453983632; 547605318; 718800767; 262507072; 276126485; 58207078; 635929515; 519985672; 291447907; 599357574; 753342337; 159225410; 73403929; 97714166; 84004622; 368013065; 873199974; 44183454; 276257900; 537407976; 790960789; 151008974; 268728124; 6796065; 822851275; 340714887; 332501227; 105839661; 932850091; 2225462; 118072807; 786577643; 375226513; 999436956; 169015842; 554925874; 517932133; 876967023; 257269480; 325045611; 64671623; 992053957; 77192470; 506165744; 826510809; 551119331; 490457682; 967009652; 446038635; 354493285; 8445503; 185116199; 424131892; 928587129; 158402364; 831486768; 902256724; 366359298; 780523608; 515703628; 836341583; 875254471; 936555612; 916442121; 401718199; 534970233; 259888876; 580589855; 590956014; 369043898; 97512651; 702012316; 787426333; 87064035; 259518787; 853564148; 140169442; 933363159; 775947294; 723436712; 115433032; 249822938; 947282828; 250229432; 192809473; 675197211; 412681507; 731035895; 438220093; 1299443; 522730924; 235874069; 654094422; 638636915; 491318617; 716816090; 915140727; 586459939; 315658276; 956173662; 447340291; 268348200; 950086773; 525720528; 411285115; 244706014; 149562713; 987062280; 972317332; 705359684; 408633249; 470426935; 812363308; 53513791; 524219111; 735838143; 194592478; 314542104; 436731456; 734218937; 239187061; 114150649; 123796881; 104961538; 428491002; 723209136; 157612994; 798566442; 114038679; 303028738; 288546280; 14896023; 914307270; 421370068; 64544821; 972582169; 648904716; 319493793; 738954079; 612142999; 871028833; 625017976; 506871367; 736798862; 823546375; 980718244; 224031002; 245903696; 771864904; 179992740; 200983897; 168104064; 438734809; 357181240; 388298543; 803587121; 366801074; 920302786; 474253808; 384525192; 660798387; 80236646; 75350931; 206860908; 494671008; 983708477; 432080890; 938625968; 531851862; 882405039; 936151401; 27017252; 215151461; 739241405; 155645928; 153854661; 536924100; 19296916; 20517633; 858377345; 286953545; 377543790; 720002733; 449355212; 929385922; 248261024; 364250284; 931107403; 447658613; 729185209; 925075654; 645525108; 718254056; 485692488; 776276476; 606231095; 439787477; 850171576; 42313496; 165109681; 33889129; 611545233; 714906586; 975967508; 65912905; 598225615; 161151426; 78374580; 322003433; 169450095; 11266540; 339670728; 121862230; 218639402; 266315327; 910959403; 51333918; 712163529; 258794097; 887427871; 328571876; 721848299; 22525706; 920614624; 129695699; 447635955; 158638122; 550656073; 56174381; 933017812; 1455855; 143217309; 725917452; 892851494; 427122829; 66135344; 982572134; 146650732; 450252915; 627993606; 919838189; 549582479; 427262842; 857357072; 855573109; 892536218; 336435013; 933508302; 756956001; 813903024; 239705144; 406983873; 393046170; 39756835; 161411330; 551427950; 451332493; 528831502; 2300168; 317718575; 374984575; 236680049; 436422393; 168590014; 810197305; 846734445; 118661735; 134041372; 344772948; 121460070; 73649065; 80581720; 482553392; 528202712; 738142731; 739598252; 90693690; 838904109; 643042677; 836476324; 341173829; 262415735; 453303577; 886871059; 753156140; 270879570; 791626521; 526944027; 822684191; 650282197; 61177496; 612803681; 415361080; 681932251; 625237658; 738503519; 430479888; 81061638; 86354775; 305710426; 287898419; 76861785; 827335455; 64025053; 786111349; 61932477; 191372161; 708891423; 457484777; 160332219; 513613254; 506229347; 369519698; 489134484; 213850746; 806359717; 492000889; 914010637; 9567627; 543143922; 525877243; 301345315; 794555753; 235695934; 27351800; 498339247; 545727518; 663460590; 671033785; 14313321; 220803145; 924804508; 170765935; 328347698; 422057464; 421206954; 910321426; 603437112; 77703273; 628939494; 999775690; 909210824; 739476996; 805286765; 567211764; 599987815; 250793383; 843277832; 913534903; 352990966; 821846600; 736155261; 152540269; 642012003; 947945796; 128971873; 82126173; 635985788; 175454933; 702325326; 696017189; 369266773; 58274128; 589091440; 650144482; 183871569; 578602362; 936387616; 120609948; 348055661; 66760305; 728389869; 32579773; 553826853; 917071766; 475842075; 463263018; 85375969; 673184088; 124363371; 842320319; 21954077; 897249950; 77929946; 811506583; 460540329; 503432924; 556496230; 174696610; 877220919; 624338502; 741574657; 72209927; 212904338; 20050059; 431766006; 244746640; 118842916; 859312022; 35319922; 759179399; 409276170; 794989185; 81618193; 83362611; 976472520; 890003444; 957277438; 267622178; 668624864; 977777814; 98424722; 975991716; 198139011; 272419893; 424963616; 404758665; 35914173; 492677297; 282978751; 101119169; 83412184; 954459679; 273989444; 77063583; 962018903; 180021932; 574871343; 136860883; 963074951; 769669373; 615905925; 977346629; 265827251; 931022358; 160162034; 407507737; 867056647; 851732056; 400680143; 388023040; 835135807; 796126934; 255605978; 1660846; 711364005; 388335915; 773306241; 74545850; 849583848; 902917633; 817121187; 91496444; 573835785; 539240646; 924547397; 292096976; 421992516; 200183044; 77201579; 404857073; 258415258; 183536097; 378242635; 399160116; 918143152; 956711964; 333432485; 442309143; 629679988; 930346753; 427853136; 457735177; 697713128; 658254593; 316472137; 436230680; 658417023; 860022276; 690086330; 276508447; 173405422; 520728774; 985785315; 926017311; 754635885; 980677511; 703047392; 121169632; 65779674; 98826736; 93368467; 885556704; 752957167; 973110172; 219918650; 354106478; 329107546; 496209367; 360930654; 785588446; 937729323; 964595155; 430895026; 871161639; 513018267; 620914649; 352309748; 26834511; 77090502; 914793038; 929704669; 111651143; 387238338; 542366151; 90491071; 167632219; 674170315; 848527643; 968918982; 388398354; 678124690; 440864721; 799480543; 951713715; 470521203; 613360481; 997491797; 15919614; 158328032; 750798785; 412890396; 327117530; 949301928; 432587178; 387399183; 426743655; 757620192; 891858449; 177593377; 210701993; 803634174; 954625979; 489147436; 984366598; 27237179; 616070344; 272001179; 38788503; 82875118; 697456363; 52695656; 988504358; 420135592; 447702830; 483733739; 935223874; 913607512; 377809160; 872222311; 449852874; 130878518; 552022179; 632758788; 625199318; 665840055; 635448203; 800183013; 561332091; 22093161; 766014672; 187139214; 132340889; 407830840; 509332010; 939687413; 160780133; 392097084; 102594301; 392028281; 627197165; 573505524; 438369872; 513357251; 238522528; 635055588; 266973249; 201081694; 399723218; 297754961; 464243801; 115032340; 877133348; 312042471; 334942955; 598278786; 236196272; 937554985; 98867044; 351959561; 962811729; 543102763; 579894639; 868823259; 769288704; 190791414; 539633889; 517852007; 962297053; 133742956; 56716334; 478914107; 941045890; 56494253; 204965552; 618499946; 9753811; 435281555; 777506798; 263997819; 981392378; 255907227; 510747790; 878421435; 519850142; 401220730; 956429893; 619932320; 717196086; 585717282; 183726207; 657196934; 201614840; 456041452; 632920166; 473293420; 831267110; 348537694; 656623710; 617066125; 704875443; 111354529; 969658245; 572880405; 594422054; 638523070; 117258404; 116737896; 375860759; 547744627; 646977602; 607314166; 294917709; 456438791; 581897379; 310556775; 903731795; 953947248; 262151622; 350055065; 850703057; 463327974; 884052516; 676540548; 346616558; 461845655; 292490984; 623896661; 813892740; 572711631; 549569830; 897323813; 834071539; 378705355; 295994016; 746097732; 213062767; 675241259; 10620023; 904133478; 753643195; 611859914; 784180728; 662131080; 280682104; 281888645; 344016080; 236747904; 141547581; 70650473; 296222485; 742901880; 487503434; 700557381; 395399303; 140635401; 784811398; 826280881; 934562935; 199827264; 299189032; 397244016; 179301656; 319660654; 52415336; 100896644; 504077933; 115502502; 682919782; 548377847; 20825942; 632402932; 672035575; 658972112; 197610108; 247652724; 661660274; 236995906; 759891375; 638038345; 703458672; 223259536; 716621023; 898379706; 50278929; 249545765; 564143590; 621067617; 437313742; 954771477; 893746920; 88889814; 601318813; 321525348; 565766102; 595591302; 749493120; 639138184; 11664739; 476562253; 331575081; 923894403; 558812038; 441132467; 775759616; 892642659; 508086398; 199975166; 230793759; 369239599; 702626960; 165558732; 724775449; 330350826; 83535302; 369778529; 990448844; 899451693; 190902910; 942413328; 895653515; 771970038; 269473747; 243384291; 278057968; 943244080; 655115227; 678815515; 279985845; 200854823; 131098517; 278824384; 722502102; 228111525; 848646346; 426605403; 768824612; 871903529; 62289564; 762165727; 914943309; 204088658; 55538664; 17137814; 206529388; 400316115; 279717402; 472431285; 785068846; 34192951; 444958501; 857850597; 721561631; 252769720; 443425570; 492224218; 223622315; 754802576; 378568958; 368089325; 167076408; 351629824; 621777175; 442577910; 647069213; 390789550; 758414960; 774220609; 316490856; 432231289; 799503263; 267859903; 480444384; 781057082; 747216944; 591502486; 132577290; 413868689; 892825; 806235223; 816656782; 736134566; 264360889; 988196198; 845324867; 807169022; 597072731; 147282123; 50873762; 142250463; 651594901; 55306034; 837735497; 786898925; 759629479; 839256302; 738913485; 427251647; 899245725; 948199003; 437153371; 600057637; 772968913; 639612148; 192252241; 686559077; 588088531; 623137512; 70511678; 566364352; 697114348; 598937133; 36036611; 218683946; 786460920; 874022242; 951768559; 286997634; 971028620; 820082680; 203231489; 24895502; 150649958; 104124154; 55424217; 229783831; 296953426; 170878075; 883232831; 133758452; 89496051; 541830193; 331681803; 452363629; 99951716; 107625570; 311840278; 607482118; 628327761; 300475412; 887292082; 489117914; 229147886; 664465544; 422671938; 112521216; 376459612; 775437349; 680149068; 224437018; 527050981; 201640537; 717140281; 365758622; 332757509; 642983451; 252120726; 918856571; 41286249; 196667815; 280456568; 937730772; 881542078; 159552582; 642123071; 354158213; 120986022; 76971174; 636882909; 999631101; 690532393; 243053167; 597107706; 951257025; 442075807; 758045533; 918359136; 384823599; 495355987; 577009002; 401754048; 275345603; 649387936; 461784419; 392802505; 934401895; 559292081; 492494275; 595537030; 360926844; 673476995; 599680584; 94136601; 647504921; 807956795; 700261049; 657274109; 190689489; 4430251; 913643621; 781061071; 802062567; 179324641; 725041470; 598708835; 191941292; 202167403; 201414904; 184154198; 732947936; 762666947; 972211519; 575951977; 23304892; 360281246; 94615153; 853463643; 98107762; 81717576; 382791510; 361814798; 110285133; 557162100; 14749739; 492641163; 776717776; 256670865; 808699105; 748229919; 527264049; 939760139; 729647240; 317013599; 215986763; 830435634; 223396573; 224456587; 615938345; 98749033; 872869819; 115833446; 834225202; 949145316; 415342997; 676226134; 368768832; 522189885; 353415922; 293060840; 950809283; 61214491; 176196585; 831509771; 110295024; 89590617; 305700450; 331456615; 172341970; 118461593; 391749209; 558077568; 245928712; 229181064; 943022351; 450881486; 964130062; 967233849; 489251308; 572648405; 555197975; 920178034; 930681838; 123107581; 268358889; 62357993; 75447502; 613452334; 7789527; 723059507; 534734586; 814281767; 792773748; 71626146; 224530020; 880562720; 155348470; 724599253; 916081055; 589871142; 699209021; 471772671; 460694535; 672606519; 361461720; 861128980; 361943098; 335380192; 436952781; 36317709; 876674894; 836666403; 449897794; 274131368; 996943147; 948307743; 611019285; 643421641; 61459214; 555669332; 521046596; 25746295; 615891371; 986577674; 613000189; 958892583; 892515569; 922753454; 224418864; 704309220; 680742773; 641952273; 285130009; 868319401; 137665786; 677845083; 8457024; 964583677; 762824532; 975203794; 184012831; 597636608; 85785384; 735505376; 233190880; 5839378; 838129429; 477950590; 381473948; 559033; 234593520; 576034390; 46149290; 272211202; 791370544; 659260984; 825167986; 784122326; 648187855; 566106007; 142674188; 796455567; 249533639; 241937152; 388521562; 558346660; 519039044; 777947231; 362103064; 920574858; 606241004; 983886973; 210813154; 815800294; 205931407; 658378073; 389413778; 705658278; 205430669; 191372789; 487705491; 628651080; 108385659; 412820498; 639887624; 449038274; 675641871; 417282152; 577840478; 585356406; 164346803; 922519294; 352977060; 18638223; 982143718; 118794971; 484134079; 91583371; 623002840; 3482795; 108296032; 742779108; 481868576; 890045314; 191743983; 338004860; 533765826; 731031342; 355158930; 793733032; 615312530; 650185556; 191799837; 335715973; 351713738; 594500849; 45665036; 415765318; 149824770; 534583453; 748141168; 796906552; 753986443; 931681697; 739640217; 680219355; 146051506; 344490110; 286006037; 383990478; 824028601; 399677204; 648616159; 732967544; 812591622; 644484933; 488725186; 303921016; 61467287; 839403249; 77609203; 972484059; 339162784; 145771993; 534801331; 232453905; 668072420; 883295932; 196978970; 653862720; 294135999; 130380761; 997089842; 181396474; 798468076; 518868995; 780540021; 698170649; 151122454; 6148023; 706122356; 496409015; 978334527; 89504916; 746376942; 328379185; 93355177; 773331262; 173340783; 83657411; 952083087; 508187551; 795365719; 378135472; 814868331; 505122960; 834807888; 5514779; 988593237; 115605187; 129842970; 84694543; 350754223; 575930176; 989360718; 529162374; 861434560; 433325270; 202216636; 186918105; 990255228; 517761992; 712355253; 280518323; 838569445; 375041019; 145405007; 412779355; 564473441; 301691736; 188855329; 764295204; 997608028; 710990607; 896381506; 337415560; 39389566; 775505121; 563398041; 110573861; 442500765; 346268439; 295699419; 31161493; 319500813; 795460676; 453875988; 472168713; 825604145; 37325283; 207664123; 128660004; 313637812; 153808311; 905643187; 509201096; 13763280; 370215025; 929810242; 200055012; 12552184; 469125164; 187745450; 625734626; 769309744; 400763993; 559691882; 999520308; 681231718; 477022107; 319537286; 186696036; 212526663; 194722464; 889036273; 316186754; 746473341; 89666255; 83625947; 450799743; 998614173; 928841454; 382622439; 105936957; 573754394; 82035961; 489508911; 637706327; 999048954; 723782302; 470706133; 496873089; 820381362; 970412034; 668612285; 16185802; 151234114; 835195935; 178728400; 74249244; 392520891; 423539561; 812049603; 52120288; 798299114; 198439319; 697731870; 303884532; 862454817; 294640557; 205823861; 538843041; 249584219; 774568170; 609028547; 536697086; 767484913; 542952649; 623085413; 15635083; 819766320; 245935055; 217900054; 238081397; 501559110; 513524036; 643473124; 53403342; 148819648; 494354815; 414378059; 225789288; 375978562; 140898040; 415793802; 37925706; 163630651; 222625161; 695546847; 634799769; 528911903; 592744056; 83218037; 586436071; 451816073; 38812950; 370712532; 729530476; 56304673; 592936222; 661762572; 596515772; 115445391; 50741909; 735459524; 100166590; 906738944; 523613294; 38725665; 819565617; 466272334; 275259664; 11096482; 668787258; 664830170; 845414052; 335620688; 66327113; 837100856; 575305977; 181424456; 380286353; 139850227; 460053099; 334938246; 935616735; 971894923; 101082057; 864983858; 193605650; 202623772; 14956299; 376531601; 391139379; 444393177; 928028288; 654734125; 575637450; 596750500; 690714746; 60425109; 943704518; 404344363; 932659456; 854176794; 89155746; 737064964; 366181962; 64228448; 860980768; 542576385; 294716010; 558288896; 853114799; 529598433; 567383338; 83239015; 655948406; 535316183; 161487742; 153497186; 323244584; 514361636; 628159467; 619950453; 558021164; 111810359; 489435787; 429256450; 712946159; 884551010; 37976262; 373088190; 937430487; 406104709; 978144201; 723554541; 731706461; 780546643; 32920059; 764351648; 424463937; 733785681; 487958675; 51134750; 788050196; 702778177; 192779459; 803748488; 1056430; 684693820; 559492709; 405914836; 670943254; 21963251; 790408255; 8786968; 11410130; 510557604; 630538636; 595649089; 144629295; 104477209; 365272957; 455619206; 69823439; 945984094; 656901235; 951624891; 233891381; 832655357; 407623379; 511260369; 723680466; 804453701; 13749542; 96560727; 966865233; 480815193; 244386940; 711072523; 895637688; 919497194; 886960640; 902375339; 802478016; 89598090; 833098079; 649746581; 646147824; 793283967; 170145349; 119156652; 616345393; 276521738; 649859201; 48806606; 710592867; 868263554; 567829659; 53833455; 689152966; 478257680; 131761791; 761551146; 753871157; 37249661; 49155309; 459721283; 409682165; 571479808; 635275691; 4566365; 747645171; 935936442; 5925126; 824199412; 675673575; 192482814; 706808556; 988646688; 26235811; 386344774; 326750773; 550846551; 10434489; 926489944; 9442567; 421809841; 358724860; 158389061; 401985449; 157037423; 671765013; 257437521; 563183630; 736687214; 365249928; 297588430; 337818898; 799349091; 203577773; 112999587; 866047954; 35766882; 606890796; 245827155; 111947665; 967329037; 393348033; 665352456; 27352556; 177118471; 947062603; 152223734; 800066116; 882163945; 69477330; 909331543; 344192536; 257178663; 583712104; 89711003; 913476651; 787325325; 401801379; 943437258; 518862744; 779141450; 697930608; 435426073; 427576633; 994252376; 450848753; 424294580; 994273603; 853156253; 684057277; 67937717; 202784923; 193687484; 395938712; 749803810; 596293420; 692658711; 972572514; 55974944; 711359306; 707589263; 404011632; 424817673; 549587856; 624690110; 61942297; 703143845; 329769830; 609630872; 500748336; 128307321; 925703276; 28793889; 284348235; 644810652; 760497840; 316153199; 319356912; 317023094; 223341673; 221510489; 125466703; 155333264; 532686446; 369497692; 576438547; 584466240; 473388717; 824067208; 460492318; 243130662; 831343187; 86682420; 321886768; 897202145; 49796122; 86319448; 791018765; 171647183; 964787536; 899657946; 236784822; 473123125; 202488872; 225115927; 315813502; 919737681; 15688696; 549349353; 505386661; 892695260; 99236414; 171486479; 848165542; 392323177; 936843357; 250875890; 446843587; 583589468; 709668506; 127754166; 982348359; 244111998; 404865348; 246164107; 27596021; 949061098; 402291281; 602948375; 203007667; 145488012; 527716424; 721073539; 6053013; 307956318; 475066026; 948586242; 90927781; 239763679; 58803153; 66699966; 264537658; 691347465; 904013857; 436890195; 146763609; 150461045; 362009859; 862839738; 711798940; 628507881; 313173132; 871296139; 171544327; 118493574; 257444841; 387412955; 356204849; 891596676; 885340244; 581046848; 741003963; 214775118; 230388119; 950760399; 365990119; 832286638; 498152820; 376570416; 930961372; 241471907; 458980162; 856728312; 607251679; 364682576; 170626831; 727780808; 112029603; 263547155; 445008214; 824395752; 511235454; 701019846; 74660227; 421225492; 923594823; 985777855; 54494130; 584046873; 624047846; 681756446; 193703606; 683237760; 614264382; 271415407; 455124786; 87862608; 139407128; 229305863; 978643237; 208767015; 939195356; 468440037; 206459383; 616829478; 721576467; 33333370; 321427416; 285231891; 40994820; 389541300; 95653657; 274966757; 751387007; 309196002; 176427434; 575905407; 673034691; 709747180; 804480148; 592222348; 137937099; 141658261; 78235141; 757045558; 374816735; 410073073; 755955005; 952113710; 547621883; 626731023; 690253930; 868752529; 701162060; 942595623; 214511170; 767371440; 827344355; 792940485; 381197024; 869603856; 885981035; 848805185; 565025276; 128253667; 405120971; 757217666; 92445735; 860167399; 794312423; 790201739; 587618132; 599971717; 962616788; 993768341; 258188961; 338227381; 884392328; 764708856; 50841270; 808315287; 42503360; 396301443; 499841907; 688907531; 951921332; 854910633; 707133451; 689380899; 770959720; 976646728; 806263311; 403512938; 278597154; 224704058; 441893014; 755357293; 366775262; 845005873; 622869129; 922937098; 737068890; 490200042; 316458440; 896355260; 25399364; 817727909; 366776876; 492538283; 124275331; 341540805; 601435614; 991898362; 861381184; 976066064; 686789830; 888755975; 636086261; 838149306; 403798534; 248022989; 616860961; 317491874; 303009954; 255418117; 728379121; 174602440; 682153139; 544077864; 792400905; 429151937; 9559327; 889898111; 134183845; 882179731; 676082208; 808983815; 964639270; 908382736; 221825815; 948780640; 941380776; 51756748; 435649327; 801722616; 848915505; 766752858; 792250102; 551732029; 286915993; 420835918; 55414752; 832156527; 66448055; 234065806; 615900565; 417944236; 560649120; 376085942; 737178151; 230353039; 883705100; 854938354; 459016101; 122364890; 778603173; 660866310; 167313542; 788524018; 30773400; 853196443; 799821777; 828791608; 98544368; 780080656; 185484851; 785102071; 791086800; 568933610; 855522219; 353912199; 891487113; 460368218; 204377445; 359806775; 737786461; 53651396; 641602731; 804692109; 203647032; 969548915; 194194323; 515186623; 500919740; 444357902; 630414082; 670213970; 15950731; 128877217; 496638017; 839506540; 420914059; 825031294; 547901953; 175439595; 35435121; 516962158; 750056847; 108393962; 902488984; 321394837; 754892154; 951698765; 806725271; 631159720; 261139450; 149501931; 24614401; 548282656; 120024540; 391652118; 82699131; 315561562; 131856090; 379368560; 935350; 978386352; 364037588; 800351117; 401548329; 828745004; 465255763; 164490792; 430603761; 792107189; 632803474; 317150751; 74394861; 160129167; 31114396; 627180503; 407601897; 362515730; 583477969; 734868755; 954569646; 26423502; 884943379; 524489780; 728810012; 12751735; 110362774; 50851537; 835589295; 843218025; 60052536; 22532462; 200951670; 933302265; 182294533; 519974426; 800210538; 849659551; 739894512; 999360036; 623575645; 240940902; 136009573; 871459910; 387266827; 427792462; 861862734; 495689024; 874310955; 325836993; 201133935; 859334430; 689148346; 95022384; 278769422; 468203449; 909417663; 873269778; 972193159; 232861713; 423185514; 690154161; 58710631; 227660419; 501551519; 545407000; 493990315; 595701606; 285529618; 490056138; 830530895; 81345283; 204314238; 572151079; 509434433; 599397054; 715269061; 971728569; 507279500; 311502653; 304808149; 130278074; 138490184; 54522305; 687922683; 284249396; 213761938; 437295313; 592839815; 343330950; 962773618; 593897662; 183980314; 783159684; 997604994; 908982760; 936857843; 283689478; 956527480; 831736278; 3975774; 505784111; 640737276; 454572914; 274101666; 406443695; 866063595; 593304362; 951844861; 689040047; 213417061; 345884754; 460694710; 773351475; 129341447; 374195130; 742502881; 554501810; 420838668; 367882762; 744524326; 519298981; 764198027; 437744865; 187232628; 767596965; 422367411; 169794052; 997713825; 152070130; 444217900; 136334467; 828856363; 258374898; 204241548; 516538332; 487801609; 807907762; 415298661; 469915030; 133307238; 46299087; 348871454; 463385395; 787713577; 700241272; 342726954; 18802002; 614761786; 959343860; 310101176; 658343864; 396725914; 623687633; 192284770; 918990858; 731820804; 568503703; 457227958; 141672886; 797546948; 785676282; 868450226; 692469464; 364289308; 763115048; 27047461; 986086255; 814916089; 247404034; 309199771; 472635788; 850127870; 735232283; 543154030; 832190660; 653766530; 982364780; 111701192; 637574509; 912369879; 262426461; 146766977; 69314286; 653523377; 901871167; 638695547; 359007738; 660813993; 391271132; 21676697; 87669486; 842840493; 635500321; 336744904; 273523470; 751828381; 988170507; 287300093; 847788859; 802182748; 515229832; 215703057; 954251113; 607667942; 915398223; 969253435; 550407383; 182810374; 452128605; 519693521; 861246668; 215864718; 166976288; 665979948; 129902100; 877347734; 596596015; 1020870; 494089763; 8778567; 489068177; 928588369; 710566649; 383019948; 862530958; 377186966; 433148478; 190375156; 408700934; 215442599; 861897811; 325508539; 100931688; 548879316; 207344246; 468978601; 460083014; 564405246; 317620801; 694457396; 932605259; 495845660; 905441809; 293402728; 667387758; 646026442; 15067393; 950999672; 725649955; 540067176; 740949069; 830265228; 804781000; 843764826; 676179535; 645121477; 333053691; 848745200; 177325116; 189005151; 943916087; 273667375; 909768476; 104655848; 606294632; 429918008; 665164447; 721720683; 309860692; 898514351; 874546785; 732741586; 442736886; 747485219; 321650587; 985723648; 229383327; 805257810; 934530073; 847497721; 178799401; 959454270; 899287643; 725248941; 595008482; 914498518; 91044506; 869129293; 120581184; 838542598; 25612977; 871131109; 589967216; 378566752; 931720650; 794046274; 235279279; 651131407; 958607680; 862078049; 643547469; 670398406; 116688285; 265726446; 547447226; 270354930; 548902707; 45805120; 361828369; 927724476; 269141291; 885856420; 712140164; 271191049; 328998194; 658937822; 602563522; 384991863; 850107725; 910259810; 538669556; 284519952; 937632951; 421642576; 528875493; 940815553; 5303440; 469243430; 671100709; 138660835; 318732140; 837857760; 982841626; 964303293; 424533757; 96488749; 515033208; 346486876; 241264320; 515013425; 165935773; 259534973; 711585959; 170405135; 583401306; 324452137; 246013349; 829214250; 78057933; 10973390; 335530903; 766166152; 676422462; 909652990; 62043054; 284714244; 772098704; 900050595; 338081174; 330044988; 450154005; 830008262; 691171247; 881984196; 750627451; 797335993; 731839233; 525229811; 461813564; 143411210; 366780810; 154644; 137291893; 801337233; 531332269; 161465356; 960998395; 131068443; 421110178; 379945830; 169204066; 154493430; 424437052; 146923156; 763618940; 257431939; 919381715; 222900362; 857958444; 409668835; 991938650; 654204512; 308473143; 207028569; 343424777; 136128946; 213705119; 73224039; 997584129; 384000298; 73473850; 467665761; 181725743; 74903678; 4368287; 341429149; 776640373; 767836337; 28766763; 64025693; 809034838; 839353531; 451091511; 469276172; 930028185; 322164704; 924930020; 632953915; 425240328; 351107261; 975697411; 322136655; 363429134; 220439150; 243289451; 937986111; 726692582; 375621949; 500916136; 182544; 7458363; 670526023; 472551501; 391241422; 51532131; 430483387; 124205288; 41237718; 576177491; 459396406; 239701773; 216307662; 50930252; 73403103; 302614988; 302811921; 48978594; 786678891; 718211587; 748586289; 894920992; 170374244; 449491003; 275007745; 950314122; 459220187; 680621344; 741449756; 250408513; 370375855; 519809765; 666588947; 750294463; 524471161; 938977824; 860595088; 192659736; 450209503; 590589110; 100792236; 567005204; 235088011; 815499923; 169810656; 358463180; 966296640; 652812913; 920358086; 491341436; 365807187; 728396835; 120233355; 352244494; 242634256; 191764795; 893123186; 496582447; 168996828; 604041007; 872018375; 220318585; 630578354; 576976196; 142028431; 452723098; 463382074; 264111718; 735836935; 751529277; 821784708; 48926059; 878924423; 98332396; 390471958; 619849302; 353528974; 326841877; 984393319; 709628897; 695894172; 620046530; 326698509; 254886795; 258233328; 908288736; 560128657; 868674601; 477516089; 339247235; 887504824; 756470497; 241660839; 238481445; 495062985; 346327421; 474553634; 634005509; 758591366; 639812987; 641509333; 963356644; 581915422; 291511697; 146417392; 107644590; 164024983; 113935874; 70277103; 276499010; 704147142; 290811389; 687370468; 327993392; 965649515; 291073645; 14354010; 491973935; 360009466; 828878475; 787912674; 809666438; 542353117; 716139461; 95658771; 288538349; 225707327; 667446279; 461554152; 173820694; 519002555; 572733046; 217385159; 524717282; 149290079; 46268110; 474792266; 285847827; 177065120; 795940597; 219888685; 68691464; 826806080; 660582501; 243785806; 676265103; 353634280; 686777668; 877689344; 146406; 525909470; 446635861; 553838026; 645170666; 265462693; 184941251; 492412364; 726302610; 671216395; 962286290; 49071180; 697555623; 556431209; 65057183; 826246296; 175892515; 996807064; 497394809; 18250212; 16064546; 514847961; 941906627; 545833422; 484063826; 705236563; 399363201; 753670834; 12420303; 715184689; 492931907; 669378467; 302560911; 15566484; 923400098; 84124942; 709460988; 751517942; 759120289; 574267846; 395827573; 82244812; 93928397; 85801020; 361395474; 491415086; 659493331; 33915316; 678096934; 461421017; 280891355; 667487746; 670548379; 338383235; 454761420; 494544079; 77013077; 529891743; 59873685; 501809116; 323518874; 422865923; 223917189; 650421614; 244055384; 946045179; 693624542; 509264752; 405224329; 115986947; 517690526; 976839968; 202849498; 218278597; 527519520; 612062159; 647326851; 704874329; 78992284; 224490505; 208092506; 195580044; 340328249; 991919764; 736067748; 443912321; 382550801; 311519741; 972487889; 327248674; 655142861; 577152448; 59997163; 727922212; 853651524; 575376677; 864002884; 335735938; 379578541; 363037512; 556739349; 621314048; 681017905; 914789426; 771568299; 960138836; 447869350; 236850791; 975086234; 404388591; 971964166; 971035965; 587045399; 913332020; 955976759; 258478404; 186458349; 488735426; 25074223; 431183565; 802236962; 628825549; 98508965; 143636588; 132232978; 278528678; 378172373; 291136841; 641551370; 636243718; 399949395; 963192152; 358493821; 230843025; 272852980; 475925332; 987546666; 202974821; 552994274; 856462999; 480114431; 144074356; 334646934; 795749452; 13102793; 510068321; 81856937; 739383126; 488614364; 706949822; 558778159; 64592931; 435684031; 433423918; 375067103; 423686756; 755813394; 537816571; 944202586; 899323309; 411801663; 938907210; 282107857; 859377372; 528873409; 196097286; 715222093; 578778259; 322255723; 182808284; 14650055; 503418789; 885936883; 841151650; 272201445; 33150715; 377697459; 776853434; 500497827; 168603761; 817208035; 219448082; 383876378; 816024601; 781375682; 407947532; 709362081; 51017255; 750619175; 650860184; 182475658; 25155949; 411745539; 197704833; 494774857; 916067789; 498825180; 746454471; 160626879; 323687027; 368311575; 101001017; 754429117; 68496902; 597400254; 399664642; 856562678; 187035166; 885647743; 427791734; 127376289; 941213390; 717081487; 134663266; 855996703; 743806596; 215940541; 527616773; 381564014; 61564717; 443654749; 351002743; 233026530; 686092368; 443696771; 823751585; 260498037; 285543207; 47762170; 896332249; 542293479; 267146571; 280455549; 589415219; 885206047; 444711546; 404064545; 219437567; 407848364; 572953618; 967122173; 642521225; 901684407; 114826305; 680331487; 553702707; 184474388; 732810015; 339289465; 614671025; 377957024; 563232977; 55177382; 748212269; 389068865; 212182344; 997448126; 656256438; 284286277; 429762224; 283790151; 109116952; 231965258; 526485860; 838742654; 647611552; 267004277; 434562674; 374165526; 368807703; 944453773; 122274138; 983985383; 32251076; 90709030; 6178163; 958493993; 75441930; 179706305; 945694876; 331332899; 626509477; 161760448; 205067019; 651424422; 784711305; 677992709; 489865161; 870118782; 148009097; 977666062; 539762395; 616927903; 177280733; 745522698; 400781406; 783668149; 67335416; 656836024; 18810902; 399749288; 223386648; 53896346; 497905880; 766917739; 145373190; 213456471; 430689672; 372764602; 217989471; 318320050; 916170808; 657230869; 959893829; 768817743; 582928089; 562140594; 521875284; 160444861; 705365441; 124779785; 938499475; 465606215; 72564109; 698130843; 327263635; 522245158; 933147447; 801936003; 960931114; 433705298; 764935426; 205957858; 871981392; 846754730; 778835502; 547036456; 547517430; 54152475; 532186996; 227588653; 408883896; 319299298; 128293744; 213893976; 609889995; 799127372; 726698101; 357892563; 887069979; 322390736; 628669999; 448857441; 952191372; 203568950; 474592021; 532123855; 357505717; 86284799; 481774523; 613729477; 618149478; 627571567; 879481357; 818908420; 906286499; 60453434; 499206233; 142981579; 310963409; 698843724; 501870719; 761222212; 448494649; 267652977; 987617510; 949261219; 886749350; 205257178; 905975074; 140979188; 510024357; 892337698; 669116593; 407921105; 427914316; 605863520; 73739201; 614928951; 90883732; 846370333; 905712739; 832660718; 110279005; 31611181; 146533570; 666985809; 827729453; 491718029; 643907707; 66275463; 40245149; 947524249; 742212008; 585539281; 413017131; 126376842; 68298608; 302393430; 435165490; 26503293; 815130279; 675087932; 107881595; 840086088; 701234019; 536094191; 663501145; 628963517; 674939349; 490033401; 480056560; 357135496; 534761106; 343551173; 126017165; 181289491; 436525873; 987046783; 842060927; 772013738; 489829483; 94951556; 924378715; 328252560; 57945729; 707601773; 688590445; 38068465; 964651183; 689954423; 312671805; 570087222; 4196461; 783708100; 577469181; 547380694; 377396979; 976275546; 50225063; 231305932; 703428506; 491037325; 757920136; 176553368; 213119299; 654831186; 861242704; 511429760; 580217063; 549329141; 923004767; 662464674; 106632071; 815057066; 532364958; 811617179; 11415899; 924602251; 673184293; 580930053; 469075104; 744826072; 991461777; 165783116; 660852531; 222398158; 681091170; 580310921; 897468129; 573196333; 377011076; 866933702; 94957456; 654443792; 516010221; 436067520; 462676445; 271067994; 622348445; 929746934; 82795144; 186849365; 636331910; 810786423; 891215067; 235074652; 818281839; 600809112; 494809589; 312679942; 495111688; 457232182; 100237761; 980059424; 101457023; 25434915; 918915723; 466475446; 851747177; 850186393; 406409027; 604995180; 423222026; 644984426; 13344909; 594926983; 281135623; 575613213; 143434178; 570874040; 844693516; 304963158; 71384940; 777924505; 553768787; 555998765; 810429914; 740219772; 358643796; 937987367; 238534992; 450672347; 231136336; 567142847; 924525168; 203363500; 368753888; 688525299; 728077826; 472448062; 819092077; 669581611; 275204072; 237889087; 230810420; 431084982; 370064776; 373005663; 347771227; 234327802; 332983457; 652105844; 360514010; 556542337; 10147344; 300854960; 579673019; 967773822; 5061648; 640950783; 160225112; 981163323; 440299434; 198895116; 962695923; 887167356; 401125764; 913222003; 722829407; 443017177; 904678506; 484697212; 824306126; 768316575; 557596878; 847460751; 902474580; 984162744; 744786179; 530084082; 650226794; 207719868; 425547564; 661845087; 4202024; 998474523; 700223810; 677454576; 688623029; 973524347; 273813171; 77049366; 386674742; 321718848; 73126696; 159045761; 975041048; 287943488; 331863; 564894412; 462465371; 86757553; 886476080; 733549533; 150858886; 151253206; 985998664; 779129542; 858114908; 464304222; 689722461; 236188111; 381126197; 213900298; 773876363; 682288412; 47755546; 424620579; 376237295; 117447917; 471973733; 775410769; 91189318; 908560458; 927041561; 689920918; 178431799; 735294980; 343870465; 50622121; 994204988; 656578217; 384720935; 353373236; 290282050; 883463752; 691866859; 781417317; 103461182; 790352454; 156774538; 891412624; 782563109; 636679896; 657163827; 970509203; 355676476; 107867198; 181748163; 603035328; 387066665; 191913258; 337674059; 654576829; 659434937; 882076997; 172882733; 144058809; 432209540; 920321977; 880734291; 663049804; 280640122; 223307983; 477189228; 57743957; 184148008; 550592555; 655332321; 459514678; 447750874; 835825826; 195713025; 327924150; 806954875; 983552781; 955585627; 75462159; 291452025; 290376332; 137069054; 495191391; 292913784; 133618992; 673366011; 867897718; 14458914; 73544545; 174117416; 474654290; 822132777; 219237344; 56395630; 572974578; 871179828; 435778036; 833641906; 938768188; 408050350; 670048894; 190147219; 516573021; 75955534; 876212394; 451993310; 288853045; 971754122; 409299900; 316436432; 31281853; 80854520; 968680807; 391411434; 472437088; 320679758; 97711674; 907321343; 326732154; 981552670; 853563899; 85923257; 517251147; 123159103; 905735440; 197484120; 706303914; 831029485; 292621305; 930117004; 170322072; 1451031; 751647768; 827842293; 779303957; 883355738; 863950698; 270877430; 678004121; 568426440; 182022039; 66096857; 222584827; 910570598; 253920297; 592605502; 170920579; 45814838; 124226994; 140398329; 42882377; 256927901; 674316016; 719676070; 226549176; 11413944; 107540639; 290947814; 154681172; 423066585; 96694517; 475559748; 597858790; 39523571; 753315665; 432960009; 324412630; 39941460; 230910863; 625644984; 159514532; 711582166; 372861225; 243025423; 756247067; 947600046; 600495254; 510616868; 540605049; 586998267; 178145421; 556165169; 835514976; 357998798; 921659492; 595194740; 284526486; 498230054; 81887986; 734638769; 415490919; 370768014; 160930014; 551054869; 118738689; 977282961; 635958283; 139081463; 618968018; 178288673; 419344581; 175872018; 553313499; 673768710; 502102987; 743831052; 351425820; 721841848; 355656116; 877967229; 67586381; 872478608; 734120876; 213556123; 626422480; 806426276; 8533743; 65624911; 323007104; 295083069; 777262720; 561130735; 308571208; 859555744; 580233179; 224206956; 935131746; 856462359; 324836846; 489028860; 563133917; 690292593; 805508480; 48644829; 154553615; 638010934; 334023946; 310775952; 643884000; 903596127; 276398816; 415785319; 772946477; 889207549; 847574860; 912821164; 687214721; 892911747; 971530236; 458006319; 999285012; 734345478; 966931708; 32196913; 924093083; 40032900; 584028513; 512259044; 269882359; 852076481; 44159930; 241493807; 53534923; 900197608; 116736536; 229730240; 355010463; 153302907; 828080925; 344681876; 973570927; 135014198; 450232366; 994370714; 830517604; 730779447; 72758679; 977686320; 755868190; 400719737; 531829834; 835231642; 914306996; 364252675; 650669536; 226398179; 193801001; 594746679; 659612404; 78599344; 601840387; 959042846; 3593329; 164763455; 465652679; 586344829; 327547980; 168033214; 683695410; 644717243; 460290537; 412174056; 776394047; 676593592; 721088692; 352088361; 277176946; 59035524; 647973077; 127043513; 748166083; 829104130; 124556120; 117487496; 898184159; 162733398; 670755398; 952928597; 992506320; 185933914; 622468397; 726768975; 792923651; 407354109; 748366826; 800644806; 13259317; 832988454; 332683215; 67486443; 611890433; 895992806; 42756341; 287398524; 812907700; 783511747; 976194021; 270490897; 448563858; 16384316; 150083744; 88229732; 331283155; 58272910; 395169049; 661168113; 427455244; 443870314; 145795886; 241637839; 915088316; 778888339; 381375911; 821276925; 889107782; 69429915; 921664259; 21584389; 233733788; 704612078; 672369191; 302167687; 903548069; 241680092; 732217842; 847501183; 175800560; 405097782; 473402447; 268748298; 947225478; 11485582; 407885025; 155378487; 490478649; 484480737; 423734127; 645177310; 5614874; 59463219; 271107793; 437826279; 758097756; 746215433; 25182883; 679955516; 726533363; 418057249; 947260191; 936827032; 104643285; 564947833; 944820637; 673026729; 219734433; 603601681; 77859228; 694549492; 644984885; 288437332; 2630825; 161857492; 280522076; 962397920; 282710295; 810616234; 238022161; 311801009; 839549629; 916465202; 935837143; 491427845; 721997496; 114910220; 227044834; 905026533; 856223337; 662998693; 239338832; 376604275; 48928132; 409999942; 79037396; 648270923; 740942328; 197757434; 517099279; 66937382; 165722643; 340981600; 644988498; 757964940; 31182121; 166160746; 318413933; 126790419; 73517148; 947675065; 330392616; 486677776; 552707738; 369178353; 325559411; 227255557; 426598780; 79598008; 658421447; 719989849; 832898372; 991998232; 228697576; 320091020; 298070722; 309736670; 982674958; 643747743; 199700721; 426028930; 873823380; 616841419; 839525840; 252240671; 239218570; 612967749; 33086165; 186633748; 792935216; 114191137; 855715709; 54073383; 479010860; 847887282; 167394413; 760566387; 659029831; 678836208; 522807816; 413653999; 846515069; 20731046; 744854876; 887079695; 669920084; 541162093; 729661147; 543987797; 707093381; 562515484; 530241580; 940280173; 924398603; 592178729; 498747025; 77434759; 247287280; 407225108; 125977137; 226375793; 375692428; 355238728; 116875334; 138125031; 770337811; 592872960; 229668288; 207143249; 328067047; 93483923; 145703746; 194892898; 770042758; 589633516; 344032296; 651916448; 520051419; 643368480; 162620108; 229220017; 725622271; 423294919; 607072860; 389973348; 624765890; 287219607; 968113313; 275549649; 638752601; 83833629; 498945677; 929150992; 88918062; 796274246; 637146520; 656363185; 62002492; 409769165; 789503215; 610269558; 373023663; 171912114; 295789406; 585720101; 188608993; 743722589; 349157368; 251608950; 110503759; 566395441; 749243458; 24468040; 796337956; 424551392; 819773960; 51906614; 794992948; 693737022; 430599374; 960947138; 958160333; 195284029; 592252826; 404025209; 28978628; 532353705; 92051673; 17589498; 406022430; 295331916; 101545855; 746627514; 483860413; 696192671; 892677910; 644971288; 943348529; 268030503; 215791961; 702664315; 696329767; 636442178; 693780603; 811358108; 145702639; 628804316; 887904474; 28018554; 474064015; 469423011; 495654095; 595102715; 337689682; 885999955; 324912193; 490848807; 338402429; 612603894; 295959891; 321629190; 414224610; 484124926; 122026768; 470011174; 643504441; 571739250; 638083871; 93385071; 74363955; 839211711; 349201206; 324891197; 473950778; 672197561; 869943020; 165209594; 944135966; 894506104; 577748886; 962629671; 469724352; 532721182; 525334372; 639015202; 310740986; 756080540; 703390087; 205255663; 229079749; 104470601; 547485253; 47092430; 210297865; 810317993; 851470973; 281052350; 51790877; 57288198; 542258594; 145007480; 412635563; 739348492; 480984922; 24993312; 352368606; 207272281; 265226849; 349885097; 916680719; 346433846; 271365567; 627740781; 480155433; 200892994; 555121210; 379628605; 500308860; 459101155; 801364750; 806817172; 928046396; 963668979; 837469462; 171580551; 359178515; 841493430; 174146620; 307255480; 696000907; 933890120; 353864035; 554375827; 336576450; 992055115; 557539596; 596911209; 750241259; 877071220; 108272835; 615695197; 761056628; 778622376; 395949167; 864082239; 313657380; 953595264; 505846582; 13432831; 379843509; 113183095; 26274154; 90056193; 885490865; 816094269; 649225544; 621445084; 129340007; 513264101; 26060418; 448153470; 436790701; 791402053; 436831108; 638304686; 360063654; 293130869; 626846666; 809271853; 177242942; 589169206; 57802368; 770326836; 232324722; 78006417; 546066793; 538656419; 179156844; 725003957; 210716559; 707489757; 550685148; 625065163; 798789356; 808385706; 784756305; 188565571; 892042656; 565092306; 53136525; 881686314; 30427062; 811735117; 108738575; 188278110; 738501707; 463946400; 850822605; 423195889; 261744295; 86729515; 251776316; 1476700; 57593647; 636696605; 546524875; 27047499; 720356409; 212087146; 923676985; 835518567; 446592452; 287885011; 847428139; 545974766; 342262176; 557119689; 720604557; 359559450; 491212785; 181925919; 431545865; 217250169; 227058321; 107582155; 292975769; 115081730; 675266800; 771992595; 340695168; 4571430; 628150709; 358317095; 829515425; 170052032; 939727438; 722403037; 769623847; 204464121; 544555392; 669854412; 994835790; 434218090; 810848954; 847343525; 994345975; 627718764; 976263102; 665542642; 882363533; 257631331; 83810873; 952009911; 264682472; 346300476; 239173095; 655900044; 95025082; 489721917; 327987912; 272752433; 969336669; 198814581; 280957965; 612010436; 382696924; 612953474; 55769811; 489587760; 49890806; 63175779; 497051549; 362479590; 49500275; 639783825; 322234134; 964491970; 838981261; 335918080; 3049553; 90439112; 369800296; 350540106; 53042905; 252465284; 215550432; 410267679; 26804611; 304243864; 212804762; 31491545; 884518773; 206424418; 116351655; 414447643; 26784291; 779267608; 546929528; 890717919; 949590142; 601585143; 335157813; 572328552; 710654198; 783192292; 677879400; 181293267; 408197390; 214268964; 915120990; 24437114; 994148373; 648423533; 651088501; 200851469; 246332794; 688318717; 732592513; 347025967; 795603875; 396831528; 413514542; 789562055; 367867572; 764231259; 843564887; 149314158; 424723477; 103946826; 609697033; 970277978; 651523993; 584122484; 746759651; 140585654; 610389669; 385761215; 6816276; 990874898; 317968933; 4300163; 993660975; 420220970; 339996748; 680936970; 976462920; 318245685; 863611434; 346394132; 868325616; 876951122; 700509864; 729802347; 256442269; 445867223; 330909457; 774495126; 809545999; 196739552; 58636696; 347831760; 449609426; 642752726; 182870380; 503196977; 366086209; 612263548; 636585107; 104478681; 406703421; 265892892; 545955391; 773405840; 344114510; 249223533; 652869507; 714568227; 29548069; 374599324; 907401917; 872390550; 636035012; 639521042; 309292200; 965735296; 297648331; 935902293; 812860617; 400828478; 857969447; 200187156; 362818649; 804370575; 379686695; 24325680; 422843978; 106230185; 702456353; 786507593; 127375121; 786796965; 582864695; 414896579; 387085119; 212789607; 985957380; 21811430; 536685967; 186326108; 87599311; 744919198; 664327528; 364516699; 947549106; 725874350; 340543415; 310038303; 350268706; 647328031; 590026275; 734978871; 616625415; 282451690; 87242078; 820695614; 66249954; 251188338; 899511248; 439506457; 809002333; 675676403; 98773780; 221955881; 821644928; 869704863; 199764320; 59090726; 354073375; 251073441; 324727590; 747798506; 446019795; 96366819; 580892467; 72283387; 809536546; 142792452; 23063445; 205308577; 361745710; 124583837; 838826915; 373965923; 833283341; 103174692; 685341827; 643235569; 183934113; 858340764; 263006362; 690667906; 93318394; 504727090; 479247616; 745960932; 322066757; 201900100; 656211252; 618132798; 26984289; 101130706; 845257592; 817423157; 22642397; 233911651; 493337831; 514954956; 423176889; 234112003; 978597216; 648106405; 613894491; 213521853; 357625992; 213407606; 326015936; 578176873; 822360723; 29101865; 508238509; 199795038; 374071251; 104880182; 220221565; 645537045; 19338948; 654863953; 649055226; 859526981; 59752839; 944419755; 826540483; 859959596; 175067963; 555349538; 93397922; 365111928; 139138283; 221288289; 19509823; 591255377; 150285675; 459268987; 53618970; 189319722; 238074825; 401920241; 411059330; 248301442; 851720795; 605229376; 892624985; 320253725; 958272538; 108478551; 894424464; 938096034; 991799076; 284599132; 665386127; 552082748; 362600338; 976339152; 791297660; 725624404; 700087112; 603878181; 271581949; 512095655; 220470568; 253787676; 796269055; 755028543; 338140418; 747596480; 863880296; 943201355; 918061271; 79053128; 338881953; 9081365; 11288933; 213135352; 697147634; 134808322; 783965535; 359345895; 668077426; 803443816; 450340836; 161247429; 825742210; 506798694; 127936740; 365843319; 520758918; 111231319; 387271471; 523767808; 630935701; 584065657; 336774332; 711839397; 425899687; 465335455; 809618613; 856710290; 262620597; 107370020; 919899960; 451111013; 561001351; 32318571; 115846721; 636422643; 771585669; 91614779; 53189063; 990390442; 325352811; 472546845; 451670257; 239352956; 899108669; 299915465; 841165349; 250692287; 456668930; 612483531; 117447918; 355553164; 752999524; 246822276; 943353160; 47883680; 29550445; 761110392; 767017225; 914023061; 497307864; 631915439; 378182874; 989392710; 826951470; 302813039; 416635059; 486737377; 176462286; 775208669; 347224390; 885521652; 894369452; 826953821; 204829552; 414302159; 350741366; 318675315; 879093110; 329158064; 828839817; 825000262; 157648617; 731061109; 283159342; 74515075; 159201577; 399645390; 859472894; 362233241; 357255939; 208011746; 992326065; 389319851; 74455506; 143157336; 847866410; 464039829; 590305087; 769077384; 566004365; 197817404; 49667255; 363483343; 883090186; 836703876; 875644927; 788724457; 325214736; 594693127; 958596513; 195357870; 321453787; 730176888; 382555283; 506876378; 458945136; 526744585; 398311317; 441195891; 613804006; 419083439; 736327674; 658463933; 5633086; 97118524; 446769171; 445586549; 749607371; 46491280; 815018369; 602032616; 780432502; 889328059; 365181401; 333819662; 97887074; 588502803; 882799226; 994805247; 623139999; 18887330; 654823028; 265933125; 855193598; 15529935; 857278321; 890238930; 2211453; 627997816; 400293473; 568016872; 274704439; 68259449; 653209318; 426292959; 604046609; 541701664; 76649200; 122529380; 610818132; 576431272; 842052783; 210587903; 39615934; 195133333; 579085203; 113464331; 287995784; 865650145; 384464326; 613972442; 374532436; 272227285; 199013954; 344109365; 288150074; 492777376; 665766287; 312029956; 329880495; 402464948; 232834912; 488477323; 726379989; 424518919; 582775104; 689515607; 621387736; 546586505; 51449919; 487121293; 524931594; 116978778; 376668309; 86093936; 178621492; 100899089; 86888327; 382364018; 348792781; 202202168; 193059820; 330811292; 899214312; 187418097; 261142950; 933235950; 830926532; 526476853; 607071966; 834430659; 774096530; 833643020; 908847992; 506477803; 530479497; 551860801; 933646262; 919731471; 277726924; 423506136; 949354009; 302337558; 941144680; 526088782; 736571885; 163882493; 608456314; 623724135; 262489509; 46537034; 751123661; 714699609; 480313820; 480165022; 656834560; 972208853; 93977586; 140078264; 982184042; 136362190; 279210853; 66380676; 43599452; 906836065; 864645313; 561467839; 298228927; 451695698; 796878249; 533277586; 283679018; 198293550; 579937395; 832247153; 314436145; 745965929; 926979422; 828604683; 745110878; 595126806; 395345738; 760784274; 535752614; 227754074; 624854533; 998043424; 214348214; 575537348; 742409631; 929983220; 645594268; 168945797; 733310260; 999875050; 573879437; 524325796; 495049013; 389185392; 266943510; 531430334; 806159228; 270891412; 528881370; 252888708; 557167706; 854765721; 741916282; 853940592; 944229020; 655939417; 988348132; 516283167; 536476930; 398372919; 668683561; 453125958; 594047740; 340770898; 843865097; 865147722; 551607995; 119944440; 928420640; 876788069; 435683758; 576878743; 10462514; 783182946; 921927987; 257402070; 688573402; 300786675; 866764579; 990863808; 760873133; 476312504; 557423240; 437398113; 536064652; 631668914; 173998625; 169017583; 192582323; 701443609; 188417260; 472086368; 306801146; 186577692; 689787528; 773083813; 264427360; 598786886; 884536244; 288544343; 158744152; 145559446; 821120847; 340032588; 177474826; 896841866; 707478261; 956324675; 453953335; 860971386; 161150820; 22911003; 603431639; 840870628; 285462255; 695397145; 519356478; 745148402; 316374780; 34500997; 580164695; 792532503; 310838113; 254944989; 618074788; 570457721; 844704717; 759102768; 942142823; 562386241; 474830030; 960364846; 154692015; 569276462; 664103654; 443304004; 897685732; 682258696; 668387643; 713256899; 763204567; 71115229; 7213068; 654370875; 733166965; 347400182; 968136389; 566121767; 654016069; 663592356; 317119817; 197197978; 735392655; 890560168; 145524099; 931403758; 945848294; 356582002; 812911737; 242741590; 221002186; 406259175; 301572002; 109757381; 689807517; 255527424; 312912606; 281699109; 751182063; 377284844; 134515739; 18666806; 541261426; 945266428; 258816166; 270882952; 529638692; 462675800; 474557723; 692996398; 995542515; 388623380; 654047332; 201812463; 305225261; 517561675; 849260915; 376990725; 916939753; 942904646; 620807047; 502572473; 543738333; 600301356; 518610968; 677796078; 674994425; 709406320; 414878354; 242518799; 638214957; 629995597; 967806692; 751072064; 862141043; 62535368; 496802197; 654691817; 514360716; 987057274; 529733831; 857728253; 624501902; 512646422; 762655724; 126530142; 405594466; 24608412; 686532447; 999637558; 535136506; 993932355; 359863206; 401562335; 97354001; 70127689; 925344515; 375449756; 562958155; 809119620; 523652620; 10601431; 511037241; 98279126; 382927356; 455525071; 521840141; 129699738; 712794374; 324162837; 344209813; 18426786; 37272926; 466814875; 412962603; 62989020; 67339265; 153653277; 833448077; 599661078; 695243029; 399875064; 216277408; 469054495; 230969145; 721162904; 1632023; 302055744; 127735354; 830739298; 323052937; 767936878; 828396673; 606731519; 156032932; 76729851; 529794149; 775862821; 496585677; 108762847; 430433844; 928825752; 119897268; 196459274; 729353908; 948014486; 912632056; 891045239; 417340153; 375219130; 364654577; 834522376; 907579761; 842191780; 237192210; 769837047; 748044303; 766608343; 433715069; 996314049; 251544301; 988673609; 202076849; 837304172; 408329160; 224665171; 86370235; 687246211; 562362123; 284717347; 658176759; 435712690; 548271244; 723236726; 844916274; 397040420; 736281957; 882649858; 69838106; 257853912; 26449098; 875521300; 78911375; 212888899; 860058849; 684994309; 912519492; 698141324; 699511065; 663688739; 638699032; 644088894; 561144309; 538883126; 444637533; 573678613; 780745947; 561714860; 386280551; 654718379; 848767583; 658585617; 909966016; 570635179; 674765762; 922629753; 653746470; 768942574; 588097820; 620924827; 756988819; 316604572; 448318074; 329043964; 967887450; 901264944; 964092753; 478918993; 572251209; 841787440; 518649722; 466232644; 577900293; 53287648; 327789205; 712512244; 866694218; 34906200; 127173555; 650256332; 628850204; 711503396; 159349969; 211399306; 984577743; 960206552; 542659546; 714748279; 612596517; 810006895; 212746894; 259052267; 40123914; 242185201; 339001309; 222369090; 834656066; 583003782; 585006072; 136588829; 46750646; 127640092; 215998045; 154363517; 862652611; 717993634; 358042110; 658545108; 705763907; 96293871; 303464049; 74077771; 706438795; 842172990; 467188500; 255279388; 230027553; 166330715; 874737558; 934948426; 600382171; 329320114; 783823181; 809446958; 213856580; 46425793; 630285539; 979916109; 158248514; 977329075; 937703705; 695222667; 916842092; 278288211; 106921477; 337161531; 211114768; 690118794; 422319317; 481001106; 790498656; 116198171; 226095580; 718998131; 344260487; 505281505; 711404659; 192081921; 875992270; 163162754; 853402514; 895954564; 267026867; 680028050; 283566021; 862055172; 267708724; 944188127; 153847435; 428940182; 226849216; 164519634; 657038017; 295906429; 675006941; 797319203; 585728514; 249265901; 981698857; 682959936; 157553022; 33448524; 233862289; 555417076; 248255717; 409689794; 640730346; 563725998; 509490886; 634342765; 715622188; 295793632; 507569267; 878718442; 915106893; 777646124; 259927599; 214175861; 108409662; 534996264; 934230592; 321512747; 264541297; 143601708; 427620548; 849091917; 654014744; 883879304; 125879069; 531816815; 199888696; 621927786; 534419185; 769659899; 506219293; 681892880; 508429200; 444921379; 27655085; 355821095; 18443445; 664336474; 269653739; 998576801; 706100131; 317406953; 993081647; 98186393; 301136272; 330229587; 690805002; 373484147; 709585198; 25071891; 611274099; 401039619; 731155963; 501833731; 881241491; 569113281; 644964605; 914500991; 660176555; 868513974; 533480233; 928178084; 469908490; 760695401; 996692376; 875316291; 137806082; 394487762; 238350401; 303875954; 392351625; 664332381; 223470415; 212683354; 94207701; 311732941; 898328600; 217607037; 275711302; 540430686; 541215032; 428258966; 931571524; 169143644; 260980594; 943158186; 36436097; 120522238; 576571200; 230244450; 977600690; 245945106; 408987293; 50849287; 628882463; 561710948; 128119738; 764016086; 295988697; 923683925; 723441488; 810206014; 243099984; 294925377; 260394529; 256007138; 429523957; 45164716; 831581603; 811116764; 767905686; 272842009; 583770718; 376688831; 176847554; 921567955; 992850863; 607157447; 301527057; 843740211; 459574927; 451719134; 477465206; 584258544; 223671821; 164569055; 394574241; 953715739; 40840227; 510136511; 351822209; 650709998; 567513660; 881630854; 66958846; 580568440; 351643460; 2099925; 648438021; 48322692; 788162427; 310043681; 334245154; 219534041; 734981263; 523700396; 76075684; 429370726; 404808006; 954816440; 15731953; 839329545; 941469543; 112732353; 960092836; 44191065; 489039790; 489986909; 673696658; 361112995; 83847255; 364733466; 894151709; 597770862; 222124532; 281981457; 802159731; 906958894; 433381510; 711308859; 845243298; 39953120; 763736837; 318989595; 676867411; 815311150; 716495258; 606506464; 950103600; 171050626; 145110590; 456709425; 441232135; 904219448; 68752491; 213781355; 471956578; 607797669; 776335771; 957152920; 590817187; 167986493; 513498403; 41728980; 213389439; 726850715; 410522034; 443920041; 920936789; 129744258; 948288781; 261396922; 635887681; 348907669; 336285731; 409907623; 345474550; 3328200; 647466856; 3405175; 774581220; 534281775; 228316053; 4277200; 548194845; 257996715; 633301746; 317558208; 937726815; 967125705; 371533327; 793322228; 660127797; 395676001; 115139502; 34121656; 125196206; 963593604; 899521848; 121349475; 627798519; 828233481; 922783698; 253614824; 1399298; 211589680; 672379005; 389427320; 546329663; 325368348; 71930994; 689837699; 78081434; 697573654; 98687642; 613299491; 80765; 898989444; 785096225; 481496534; 77023232; 732831625; 759755941; 477196835; 877380048; 635608718; 862857266; 941568303; 808149499; 647295484; 402059303; 812582093; 625739890; 188503984; 938150679; 872550892; 676283364; 759479791; 926559881; 339858017; 684651326; 159207433; 275938050; 480643844; 247774189; 668777575; 975223347; 635884255; 105273987; 835898508; 93187971; 655379640; 558513782; 886270197; 539758705; 852007039; 260911558; 230352600; 565961989; 446564535; 7084830; 654888808; 300162985; 690374724; 3280115; 572680241; 277300791; 573874920; 738328538; 602700555; 568152660; 316479593; 502250378; 192109818; 443693427; 350247134; 886552074; 376574603; 173126423; 394505777; 826584361; 153144424; 264776787; 621476235; 512454377; 3738976; 796436970; 118206086; 645377536; 999918455; 459693886; 528716796; 604645404; 203296476; 993094576; 133124985; 726783690; 415528556; 595507650; 966559974; 389304098; 819316573; 362451410; 818716739; 681326665; 462236656; 911893248; 160490517; 292987790; 623216348; 691524985; 21282196; 235700793; 728332948; 35574266; 618965399; 361770139; 232263810; 875044449; 37239105; 130338016; 742368068; 679587176; 930161847; 523959443; 768337693; 708865905; 249054073; 921472587; 272700100; 871895963; 762862963; 110941213; 298250714; 341775298; 651521343; 210532584; 588576505; 314370522; 970077230; 500793136; 792331347; 248382699; 550666258; 923304774; 716874477; 334882335; 505598672; 771838256; 76710630; 359140795; 238443165; 997277970; 495625016; 558969856; 780675354; 914326854; 837936789; 304522113; 459364168; 698059202; 379209966; 565189139; 125977475; 137881655; 252726569; 458614942; 378076602; 538776931; 735037545; 342830234; 123312590; 777895380; 118497027; 195743061; 831039823; 702993485; 455540683; 401151396; 313721505; 433112671; 304928121; 718632749; 848310209; 965677393; 900456869; 369774775; 60678706; 538326045; 271443035; 226437671; 795103013; 233632074; 972448850; 633088865; 889329193; 82316274; 445336957; 563612400; 6125396; 703265543; 281175531; 349980359; 189096690; 844968034; 856910016; 794241778; 29484886; 143158321; 501075354; 7593763; 637741162; 127639540; 33479831; 924942728; 575132802; 457321009; 997531224; 818682401; 364469911; 242777803; 529874430; 196858582; 510807603; 902833081; 952209372; 693003218; 675577097; 906770537; 287775036; 100080705; 409976650; 436012202; 262427339; 330448916; 908381761; 371841564; 2993233; 904530352; 631976794; 648679439; 113099499; 134989150; 499182890; 518418177; 617313033; 684211293; 243540669; 31061982; 453998280; 146309182; 335487050; 2435793; 74808891; 459797696; 575280952; 8431804; 238028934; 689970467; 332412037; 126413059; 246384521; 465021681; 238149443; 63334026; 412946045; 774184314; 706034535; 506044032; 71510490; 414319573; 57686554; 149576807; 985627493; 994231763; 246527305; 470812988; 421850623; 372112556; 196514504; 998276032; 689628312; 85107620; 959040471; 707317447; 36066606; 962470937; 96108377; 280797382; 989074134; 481814049; 38881716; 866572730; 246604663; 683112771; 94794718; 912630219; 622981719; 64030758; 755678918; 626759532; 984531147; 148484154; 607461880; 582093347; 915258144; 463617203; 620033451; 144763228; 517164274; 597997610; 286002728; 131194508; 806020914; 134977511; 331594722; 234530879; 685140102; 599581550; 13921044; 786099302; 939115889; 713845223; 615439314; 3056149; 524743327; 308006006; 79585517; 756251991; 488681577; 520432809; 742501695; 840603525; 607457126; 9032869; 736181676; 576372310; 430834993; 511055207; 890082076; 538322835; 641968612; 157906813; 59785723; 618597577; 314499223; 276903565; 960190646; 187770211; 28830928; 296188716; 870328814; 699189064; 18529220; 77135781; 539387204; 293293081; 2875092; 776142305; 973250512; 404912103; 323232984; 912343031; 824860048; 898073763; 53422853; 162973704; 604976211; 98516591; 466546908; 279903736; 796349595; 21298746; 800488063; 667929277; 180840061; 64362928; 239592858; 805329116; 283860344; 261185299; 903495407; 992625764; 845922289; 277733255; 365162077; 493042932; 625476587; 401777150; 519159229; 951960319; 315089823; 781842776; 835292561; 159572455; 539149920; 639245933; 630777700; 463612003; 63938110; 878786456; 428806237; 86905547; 451933259; 429984010; 702450340; 206838074; 799273837; 866397174; 718791201; 4915113; 766460382; 909762215; 517302875; 330628979; 270416584; 478453085; 921684272; 818532182; 479583298; 549919042; 699672828; 232205802; 408378424; 67831850; 881224621; 777306304; 927162801; 149829690; 145503039; 407025343; 878488463; 855403693; 765747957; 46150642; 197488955; 288739236; 731409886; 692096972; 89204612; 769719261; 991719914; 25749662; 217857567; 416524186; 175795123; 242853201; 506897447; 600329853; 366103718; 17014783; 186816695; 472198647; 425157877; 519261838; 215527010; 764403876; 685628150; 338518515; 706276134; 735569729; 325749341; 623606790; 970033856; 382555381; 848831845; 184326136; 690021367; 885321738; 364886568; 284670940; 800698591; 640430016; 566938260; 764390867; 816248013; 40968170; 246072912; 619745477; 223854093; 290632013; 809211290; 411699931; 263295209; 488329079; 917850834; 485923725; 945872920; 591837066; 22547031; 691463762; 256441290; 44656969; 566962176; 337721091; 693439058; 588412704; 287860921; 776057357; 240827689; 685597643; 457719875; 476093981; 815397454; 295233221; 941408753; 240009493; 450604370; 796671468; 794808899; 158026604; 334191051; 513834291; 424271963; 146311528; 545741302; 579162521; 376536502; 585551551; 678935125; 490608095; 466077767; 927550697; 997431098; 615221715; 807344459; 58361137; 593373778; 154032980; 601241283; 120972216; 189661983; 63858069; 656570511; 917651634; 109291252; 543855481; 357884059; 536396091; 243687589; 747029967; 492063370; 280079132; 538429140; 365892863; 14403812; 226316938; 846408075; 487067058; 105598577; 543216064; 845163479; 514352744; 137448745; 560262548; 382979051; 645103558; 104245062; 525821603; 743374528; 792542945; 447852133; 966836286; 406391512; 882877381; 989219603; 299895144; 787063983; 850905583; 654137485; 760733999; 560554464; 615637094; 412491017; 179063782; 544590607; 915660732; 763524090; 999511179; 664697336; 477086527; 402446789; 177786045; 787940835; 389223953; 132206251; 871396326; 377037303; 618218881; 668234500; 439475724; 438332976; 415447526; 981069919; 24402087; 269909356; 215680609; 894901367; 633243881; 407204689; 364008807; 430491776; 346962438; 75124771; 811001002; 265377858; 20940786; 763066637; 423198392; 887426825; 211589123; 426048370; 979151899; 419113581; 69206632; 26173175; 745923897; 546978520; 427885185; 833800397; 332392546; 79881653; 963306976; 938370157; 899455254; 666681265; 315916808; 717239328; 795670567; 784581478; 251627912; 149485371; 31910059; 252154834; 61676837; 296634727; 511375217; 85558601; 335849395; 441885368; 453651735; 561888434; 625187030; 86168157; 843627210; 102541378; 740367093; 828862430; 932250448; 239495599; 278312818; 893435643; 362363171; 353308789; 465565002; 408404815; 508116653; 506344231; 284097463; 500777521; 523045343; 895428988; 216749801; 634097340; 728013421; 351822484; 375488245; 788791444; 94911838; 19902915; 242703957; 644819820; 566185958; 61047058; 822992889; 9136737; 534436174; 987325993; 988916051; 313549544; 830558297; 508304174; 868124120; 213487446; 222226422; 667952758; 95883881; 351753730; 94835942; 838458382; 659310101; 137219962; 955250478; 9576734; 299388096; 812943497; 692054546; 78165867; 626122957; 20688893; 537174623; 899935250; 349463895; 145504564; 395743026; 865947393; 709806632; 618940221; 819348618; 356330626; 122915690; 749159412; 320945124; 702387107; 762060274; 219797378; 407377716; 295281312; 984470369; 307238025; 277690646; 144224830; 186113345; 675771532; 835698419; 894508084; 789177391; 485280408; 752623614; 446750101; 42860691; 635911469; 115547760; 796986032; 516459729; 327599453; 641144935; 75492418; 273964807; 698339921; 733487540; 912635855; 727972703; 462358715; 161547640; 520896244; 8418238; 378686640; 356752525; 442147857; 968105711; 246264628; 212321836; 40891109; 403411945; 457884666; 592782564; 268199217; 861347332; 223498206; 284397032; 514685424; 246007011; 436464434; 972781063; 252140190; 425642602; 956583234; 376387467; 724827368; 865111695; 115384420; 167913621; 364600870; 346361317; 712931738; 216285265; 511613; 268553346; 964878058; 722478395; 120683360; 821399004; 244943549; 352161526; 766263121; 148169791; 773880182; 410956167; 773944690; 918279606; 963164468; 439351651; 684455348; 460140208; 582049229; 74760309; 852674465; 573105431; 245886563; 934524039; 613694327; 733890786; 36787384; 408613227; 408349855; 157011727; 58721458; 774747498; 751474232; 64646363; 634052576; 635686915; 36483430; 888049810; 157879795; 218327633; 658331081; 166632761; 716064956; 904434217; 621227225; 900974141; 367396236; 530553486; 447818712; 866808420; 166869100; 695022309; 512145020; 52352069; 581129903; 299432397; 65363292; 504599574; 331842634; 997387629; 420895985; 621333871; 661022172; 240947838; 583595693; 656842493; 672790934; 989893484; 832444634; 86038748; 412277577; 929755265; 330468340; 276765025; 835010400; 87334612; 225918093; 591371137; 941442634; 457386019; 413025727; 984554457; 480521965; 576126120; 863101757; 270117858; 293320930; 218204946; 319425860; 973113332; 930024697; 18565143; 468725365; 102742868; 236576857; 907911596; 923496842; 200724543; 18630475; 158751099; 436347374; 131375975; 665812896; 751540660; 452542433; 629511012; 899320906; 559986185; 930813292; 992182; 342758609; 952885314; 494407464; 434186396; 46859264; 399569829; 31319588; 970662516; 162038533; 566788228; 143956926; 686269392; 507526985; 649926691; 794230107; 905590608; 79314254; 478847844; 147374876; 594044089; 313420940; 490375907; 122625810; 687586557; 217483090; 191989653; 97872295; 993387293; 303538947; 497629708; 758366284; 246255223; 689114182; 808533983; 543798758; 533995896; 546496962; 804674711; 936742701; 319804962; 956743692; 708620183; 399561292; 390994660; 268280849; 614396211; 765387437; 410192669; 376602510; 100606307; 752372472; 619328085; 153601265; 417606157; 469480691; 530031075; 673636403; 998765304; 715189483; 519167963; 3959054; 241703719; 15289739; 827428805; 545530883; 586310643; 880883353; 917076185; 514729777; 271448640; 491875933; 907160251; 524230719; 24631461; 59744862; 927446042; 351475903; 57012369; 191962211; 630174134; 440514130; 10942444; 28573082; 974508531; 448555948; 781459024; 786850159; 974295193; 89281692; 804327188; 106169885; 2697786; 60489891; 476297934; 344960206; 783200836; 970093073; 347171713; 583800522; 369670550; 730792331; 35730712; 843893941; 363162406; 70036414; 413064180; 617484722; 689677497; 418542287; 324158230; 262750494; 203765504; 62407311; 285407525; 70653120; 153084069; 240920515; 305254279; 361516058; 308431672; 84960603; 503022600; 874828308; 686073915; 716067632; 103529715; 321966232; 203181187; 541851541; 38136604; 916292602; 996240183; 660950382; 851658258; 173059937; 453659384; 565339848; 502369250; 489999513; 125907048; 961823567; 741525394; 629442362; 545794190; 928158202; 332478674; 290595052; 135585210; 324432901; 418975250; 163834915; 604191012; 268515786; 120361356; 46361996; 382878605; 394530649; 286153823; 225686185; 6974515; 411631386; 710190757; 234634553; 3578674; 113568739; 328502827; 362688750; 900530138; 265503995; 947157843; 617491137; 411319299; 365158191; 720536020; 157328043; 762946233; 71168746; 251917234; 112753155; 885442518; 857209561; 159290153; 645987770; 119205545; 834746252; 454781612; 541976282; 45198622; 278640465; 532790019; 286536169; 715626008; 956160150; 133082629; 342350966; 328424009; 724660319; 540738107; 75511546; 426434919; 4616282; 726216691; 623508685; 284641868; 582866436; 104807735; 276026323; 307271523; 553573411; 916523250; 399400399; 523383765; 120920849; 204765808; 302865388; 412321297; 808022098; 69912337; 970179132; 368545782; 98298089; 417497207; 89943269; 460948487; 335980559; 395470028; 857443593; 829828413; 522656466; 768757787; 296678285; 228236779; 441407772; 840414215; 769788583; 85295889; 214091876; 806186517; 241792405; 666443908; 881804590; 558974847; 51576902; 486985445; 86815410; 244821965; 599593373; 896629548; 204175843; 684326175; 609269841; 547626372; 602328326; 298492867; 400308438; 968740924; 457264357; 597461301; 450217442; 494156373; 615903533; 860141396; 432952491; 823561012; 17599375; 529927993; 719407207; 157038180; 105510245; 596122492; 715828559; 7155489; 649290198; 659446127; 945905639; 59341927; 659441768; 990820565; 273214932; 893562181; 476361487; 432880931; 732201014; 828738194; 190046645; 941418874; 731374869; 730775339; 484332142; 832595926; 224570913; 34461462; 160579035; 165490529; 425419801; 614096317; 993943129; 960238103; 39180413; 293244647; 54701670; 565405201; 319081755; 614401163; 110777614; 904907761; 155926133; 317261056; 614553702; 905937360; 18066981; 129708316; 178817062; 442933505; 37702290; 178828850; 479718548; 978836256; 420690651; 286595784; 178239280; 493958858; 223246166; 956710315; 998725887; 760713897; 762106772; 638321828; 787899946; 715059928; 338102667; 885658541; 172186755; 88281667; 397900362; 785107603; 888656691; 178971269; 797647901; 598169661; 422353018; 892452616; 588650956; 489052678; 192819298; 128049616; 166079681; 648913553; 735067695; 590489744; 265229143; 120986062; 654753653; 267222090; 93893913; 118043496; 806898245; 138594108; 231705537; 147104406; 878613595; 279991448; 15979722; 951042955; 763587463; 223458716; 416861665; 385296255; 325966280; 501115401; 243663354; 571383941; 141333035; 517209393; 246902567; 272142243; 416737282; 677859396; 385276061; 502026414; 947230934; 330392617; 994440493; 657589375; 682039898; 777384549; 39762860; 569574787; 915354445; 976584116; 230537066; 739937349; 376880344; 21447352; 84474037; 244815420; 997087581; 24285447; 23972313; 192873259; 471689639; 400378974; 237825169; 422295993; 773075416; 868598673; 980497521; 83446735; 339446729; 629669427; 763795838; 95934695; 524236496; 459539461; 132701079; 617329596; 170203435; 16888373; 773868327; 534536971; 940603742; 566832679; 33608082; 191907427; 568665844; 824980160; 948317253; 805910654; 501043017; 246567532; 111799366; 38166064; 677260144; 124753040; 50769208; 80496696; 988688820; 453749408; 894205422; 911849078; 62631672; 30881226; 387707192; 865405843; 959003492; 172203112; 896554582; 434576101; 625391923; 999789625; 987312988; 487590823; 932994406; 90942628; 512781876; 161482764; 998729653; 112908747; 452596413; 75573698; 725728221; 721284511; 918884487; 656876982; 615991073; 517237676; 623149952; 516357984; 36272997; 735854847; 914746886; 830612906; 290453609; 447026937; 710790226; 508205804; 48219345; 416252909; 86392509; 716339862; 756795048; 505420821; 236642549; 995130094; 788372590; 848470982; 155348778; 173049609; 227723827; 369943676; 998327363; 335222965; 425469664; 24187927; 170760157; 237731854; 430619698; 411550512; 893537295; 910757465; 681811097; 470583597; 818796598; 476676857; 746650750; 127962665; 522733085; 918392927; 13223697; 758943091; 455007899; 894064171; 912629115; 890326090; 996444450; 898065198; 954452038; 552119164; 385538891; 848896559; 32204645; 890934203; 296621719; 62051334; 47849556; 13015273; 534085731; 205784668; 974425181; 555846393; 214321694; 542609013; 226020090; 846463591; 456964047; 142821187; 34046320; 299032502; 480915508; 319772286; 136017242; 599913936; 244246766; 218023623; 342554719; 619573177; 50629433; 159422855; 572606792; 834864001; 320282295; 330425044; 558271653; 143389245; 490790982; 657175307; 42340789; 595111260; 884326903; 431961111; 19759239; 865119527; 953111854; 281197412; 913505433; 613022313; 781473028; 194357795; 420554249; 965268528; 773229342; 875777265; 239362664; 647479736; 853245748; 483733026; 792139242; 478893574; 376956541; 897449982; 679457144; 391272527; 226697435; 376121763; 930214275; 649082365; 214172003; 467730412; 79398863; 419092837; 320159444; 754810913; 990581983; 223885586; 981201128; 785047301; 355565713; 224031241; 93532366; 326458394; 934506470; 780303719; 511083359; 149810365; 42393183; 876086208; 162417542; 540595415; 843269405; 915218166; 672115267; 160731759; 26967764; 386991125; 206582928; 619033238; 540316174; 16747135; 13623373; 217702516; 578956351; 756885180; 389131199; 989434552; 522600153; 355999307; 862294008; 153260306; 631497478; 742815811; 173541087; 964339680; 328517325; 853151521; 117215556; 885421427; 613077597; 861471447; 658422941; 952888205; 465017217; 13031238; 315831081; 478998302; 39591923; 447701607; 456992155; 978772828; 71245935; 950109473; 28351825; 414825364; 794172799; 942923654; 893858705; 544520126; 563836610; 207479418; 647470605; 583463263; 176252467; 829362319; 885646465; 813037643; 183652643; 486138089; 451921474; 697077284; 469176264; 818516753; 304406351; 853601723; 40334749; 664544155; 867547880; 534947431; 51740331; 558401418; 998681903; 596195423; 914418182; 181265358; 758250826; 830947286; 390870438; 814947039; 449572495; 699426888; 955648142; 125380365; 235355681; 330469903; 121480563; 614567717; 150373441; 305037767; 483915721; 851111036; 721810470; 84768170; 918229376; 477735260; 56193570; 444594157; 179198006; 220499731; 729670555; 446814377; 15496699; 160571597; 847091443; 621686844; 926166898; 636903850; 342341192; 869890839; 844722621; 372371039; 780779393; 323801186; 693675185; 790740153; 424742899; 667322117; 954324; 680136069; 851334410; 864192615; 261419536; 92597505; 779537253; 77040446; 192986738; 329720605; 47874727; 846786014; 205909535; 78777682; 190891366; 126650896; 675568969; 222281421; 115428089; 70094546; 81812805; 134758506; 33522266; 830067143; 617381609; 531428042; 456666876; 475950794; 482613776; 574805824; 592719726; 41538801; 50814492; 967950162; 968365358; 666119903; 892559617; 770033452; 979365960; 101316864; 877457777; 421711513; 789826045; 42828020; 251263919; 598206500; 71518387; 86193294; 414984397; 803031; 430365452; 682172307; 881851972; 312385470; 786866851; 239179832; 131354236; 277928169; 555173781; 699663109; 760178674; 789865948; 415597716; 822220954; 293950139; 768079498; 591922973; 383991762; 191165733; 542203387; 781478175; 895378810; 739645640; 863094922; 678684222; 735934099; 783070175; 892556750; 806052217; 345480190; 17260939; 140698505; 367349427; 707570644; 854903429; 205443267; 3800546; 683833089; 755039609; 581986694; 697016415; 117333626; 140952062; 906753170; 839656234; 628716135; 820528426; 625897942; 958616928; 563491627; 525091167; 331485149; 767914534; 728237044; 501787216; 179007234; 953897356; 848175321; 315972744; 698383331; 409235940; 467617229; 486880384; 488372836; 107519838; 820259743; 980991655; 921858541; 3355930; 256453518; 331282408; 663235232; 447734667; 257288078; 814525306; 608728185; 257439617; 213167057; 722827567; 914304286; 51870360; 611559863; 757387463; 198469085; 286372171; 669597175; 51808749; 553557117; 268378746; 353264257; 544455330; 463031182; 222897279; 420459894; 331588766; 713367050; 211377521; 524354690; 150339011; 484705649; 520126105; 87700232; 553770513; 98339831; 226786543; 611737015; 765737867; 659307432; 496054385; 614272064; 737079603; 41997072; 578138159; 554254859; 700070286; 944841125; 480484611; 508862640; 411480599; 894449870; 499518892; 592894032; 475310646; 485441524; 222277166; 481847176; 182363071; 718213929; 282050970; 460475408; 76896508; 685903685; 294396921; 288195784; 168869636; 896537932; 443927812; 595563800; 729077505; 545159501; 89447973; 273004471; 82223820; 466191495; 756254584; 106114025; 165009169; 816216704; 396879782; 518323930; 752647759; 430964911; 861306877; 717733267; 260979827; 887208241; 965418211; 273341289; 91940406; 880142021; 580326054; 399105772; 856717173; 78476775; 639096339; 253847213; 564547787; 606482627; 554978998; 806927270; 78012564; 628192802; 995050154; 352740278; 232910319; 450039834; 258833797; 238812131; 756676114; 120896019; 375091824; 227569594; 435715958; 73305994; 178417433; 711577306; 256768938; 45881077; 896445924; 757014885; 189917480; 173517422; 534836580; 722143138; 213932602; 917377514; 452988714; 425066907; 54925471; 610107482; 160620157; 309769992; 6007174; 901850002; 522539751; 898584768; 109668331; 962717265; 59749884; 895278769; 392214872; 166943758; 904147121; 40831663; 177414658; 711621384; 334197402; 195284460; 901593138; 58146163; 28391912; 699682805; 821709029; 635421360; 927795092; 280475275; 712837568; 244542667; 183048282; 666072032; 335751366; 793109545; 120895967; 192036212; 264664952; 134555234; 51274419; 961102349; 710247695; 602828549; 259112858; 286949172; 888529162; 852840545; 627008798; 45485364; 770582573; 292000940; 32377715; 233041037; 833396416; 437765362; 105158076; 657687372; 882221006; 474552806; 938445095; 926459550; 935541830; 14063994; 235852777; 354180162; 511941292; 8264341; 902337101; 782643553; 422878674; 343665052; 36881942; 423170827; 887659796; 43377451; 495102736; 911365290; 586302321; 504815255; 716812933; 638230789; 216247245; 562246178; 124100932; 84536200; 16090442; 192651060; 526228843; 898966274; 912511610; 225554667; 92784977; 104448762; 500391502; 689105849; 811367599; 525027401; 334788993; 431694710; 578379324; 743068473; 960327678; 399343350; 269582615; 695819457; 456156857; 808565249; 381304486; 999491855; 913822013; 618751148; 355199682; 804012223; 446439148; 427999808; 557519523; 732673464; 31002668; 377494499; 803143870; 752274943; 835553376; 133796857; 501490563; 367788472; 549626383; 698292526; 616671020; 57331371; 866522775; 252688664; 73079821; 598010598; 935039559; 973635626; 167334978; 205390148; 416893582; 381448901; 909477861; 514781976; 926213018; 793030261; 471849287; 829274734; 6830426; 670718671; 369155178; 519021448; 15181537; 968602958; 520593986; 791350973; 653767936; 389458775; 896075347; 949701433; 408501057; 188688550; 208391063; 998943231; 370363469; 654088759; 186473784; 731593873; 957150765; 62249602; 205478239; 643762449; 287400187; 75225367; 694661878; 769926121; 7931011; 496161682; 536275344; 766515420; 985302108; 925308582; 297991551; 986945914; 580689860; 764330714; 805441069; 485877674; 170393735; 524319680; 906018676; 318661376; 946838366; 752224903; 989435563; 289371532; 398898489; 870838356; 87599701; 163844294; 758756318; 771892077; 39184761; 930507079; 836250308; 781412781; 414155517; 879479718; 52963062; 188592211; 841390817; 261433561; 612250197; 449607289; 378593611; 503704137; 714773805; 856742951; 38076769; 549568523; 24433136; 549513333; 841764937; 657960238; 135708313; 60137125; 450270140; 788012071; 560930972; 787004400; 880670414; 811020794; 274819659; 235177316; 257557555; 710160367; 386607253; 372805402; 497050060; 59798280; 808019769; 617749308; 829203192; 959210582; 776701271; 551561858; 183914007; 79861006; 716134964; 299728215; 949515576; 736442578; 567955620; 355718206; 324276721; 509862630; 414907090; 667693536; 750492336; 605139641; 930738673; 225066005; 832061703; 68670658; 483072647; 274656799; 110861781; 483483931; 423520352; 525306175; 3617466; 323515564; 14898873; 901815199; 965461156; 790216007; 301406644; 293138495; 759445817; 842555899; 256301951; 135629952; 540861235; 9901891; 638382103; 31319034; 456244327; 814282659; 649904568; 174248138; 445330339; 6606823; 424421073; 943529020; 986785176; 880094610; 266075594; 8685663; 38632818; 963156620; 112390969; 196520930; 705024554; 137654076; 122707870; 815128681; 950241017; 23617798; 801366869; 187019213; 924339888; 106562069; 301364014; 691695039; 292145803; 467870822; 550842201; 646532946; 560186847; 888514575; 215736251; 227563114; 747639433; 592782235; 610882913; 632598727; 283225389; 86351023; 437344032; 558977185; 935972160; 283235629; 793173456; 605138365; 878880702; 537664145; 770341481; 47733832; 682513920; 949021620; 66191829; 214713533; 893991132; 978241244; 701798995; 83987517; 961280541; 868186841; 177920193; 555929191; 779330927; 450062780; 232686049; 596959742; 79208002; 14757535; 462751744; 960906784; 438755040; 240781538; 655699225; 176469005; 941665601; 222757718; 587695592; 430393768; 62848155; 215192495; 174214894; 207129154; 495795751; 432116904; 842949006; 360701245; 130637653; 300484745; 382951966; 800862996; 252452096; 146433287; 163414401; 326210832; 545509255; 716446486; 645468215; 57889849; 444784573; 361621120; 684974344; 945413745; 177031223; 776695156; 924972214; 409158561; 24596275; 684862967; 895156343; 362401327; 706524705; 548806544; 427263869; 458834863; 871612741; 583683405; 177495027; 945029074; 94913250; 51895268; 607216377; 959821807; 985765135; 382848887; 522980366; 655355040; 771717856; 627965810; 256700099; 16537888; 530374178; 470735867; 623020084; 53902856; 568950030; 398878341; 283682962; 891149041; 836479770; 390664394; 714133670; 487606900; 172226739; 349215055; 875165812; 512439406; 608784943; 970522459; 554892661; 45166492; 314307751; 439942392; 423791580; 940666800; 126516949; 888694196; 741991969; 466762370; 393584109; 225734211; 81527881; 884951817; 979328692; 676159225; 786518724; 260352957; 476180116; 575444356; 514335255; 959222258; 312011651; 847670416; 422024528; 711175261; 411112581; 159915105; 580916138; 744781020; 630226595; 139402129; 122828063; 798060094; 90781603; 991260760; 408082714; 619716260; 626513240; 374912004; 639943932; 610164857; 864491768; 477734490; 227029163; 131114935; 691150575; 535142511; 992121613; 609293729; 201673921; 524436968; 907309183; 268353439; 177228182; 21794512; 190731973; 810894784; 992769272; 739036579; 389534337; 967511704; 763372910; 935012352; 64128538; 48190377; 867018058; 996380042; 420780598; 929753161; 68986622; 845206981; 394444638; 211765547; 79131930; 932777596; 478675414; 759426025; 884733619; 747276503; 426912120; 516069620; 78830699; 646480874; 24672688; 184643608; 481124433; 269694463; 32077626; 907644484; 390252575; 262091312; 73937905; 46525203; 95454906; 535705793; 662143412; 881377268; 982662398; 675891294; 710102324; 421115228; 337611961; 666348812; 658782370; 989757007; 661061898; 963598978; 992380849; 483437648; 499147303; 513117342; 264064067; 100528606; 12222382; 132403761; 439280442; 742802954; 61777822; 622855461; 372584426; 147727116; 45830519; 980801443; 526910810; 674897126; 855862864; 202744168; 10493031; 117682876; 686249241; 7079169; 853496237; 912038580; 447630545; 103524112; 692267867; 152968562; 543830855; 181050977; 211757142; 774311994; 113817448; 315902384; 940443387; 783835584; 645350335; 125547747; 747052773; 142993010; 673033657; 844437958; 787409594; 48378546; 910808092; 630134744; 113218300; 667710251; 996509871; 198532695; 445856547; 875973782; 42306348; 791012231; 404889352; 356668561; 49851057; 592958454; 676537236; 178756817; 312622085; 829348988; 603168866; 654877090; 18425729; 826747737; 754265353; 951185364; 706318471; 102788002; 343502696; 398938350; 413394823; 750310469; 45343657; 401449639; 618729621; 62351445; 844313505; 395397964; 963648077; 651995323; 838212355; 850847780; 999071869; 871989294; 572992765; 261470632; 632797985; 716621396; 744901322; 535930132; 201620911; 101951774; 702903213; 522918587; 702823119; 973911205; 634509294; 798231993; 133293751; 809566081; 157704814; 544498301; 333373231; 92723622; 779596356; 937707353; 880866598; 233728921; 562694570; 810057287; 113083873; 164088099; 143264421; 339290781; 589770107; 861136339; 758030776; 409520632; 871102261; 247847069; 573305941; 321883511; 315100525; 876785258; 740717397; 62002586; 178261364; 361744169; 167072334; 108847058; 358148752; 270768595; 808184931; 938512609; 843759802; 449236291; 919289971; 795370337; 417679458; 197715162; 138241360; 101933235; 984052744; 719363270; 792909809; 165780290; 886077458; 486436465; 876546243; 924956403; 394761858; 851249682; 807090575; 973521072; 11174078; 328566182; 403828733; 432932288; 431710249; 884496443; 546693001; 542358792; 224275405; 588680978; 90464244; 85287478; 71991940; 80222350; 561055237; 506543667; 375246969; 101343817; 183578744; 621734530; 288335469; 716668481; 38057259; 129784541; 951631837; 997143879; 959061123; 796051847; 349673827; 519850893; 487255013; 812018827; 250027359; 748273919; 145868348; 311430422; 37965045; 319918407; 183170340; 646916464; 459226382; 656807501; 915620393; 225465700; 630787960; 440004231; 786806684; 705030301; 197806032; 70788076; 457579912; 799280078; 330846114; 638035010; 924660472; 541776518; 257961657; 750123548; 129833402; 469180741; 750339922; 758653678; 257063404; 558443537; 496983318; 767625441; 432991580; 474236944; 150240799; 198718103; 197817385; 849529177; 397143458; 16882738; 197880370; 823543591; 89403997; 953685112; 601388905; 601182098; 659537392; 535396075; 751685999; 335583693; 197315686; 472399654; 571059657; 206323517; 206374223; 24002176; 753774507; 443822538; 882418544; 258135869; 328173194; 571707488; 685650102; 251646705; 652822036; 576206939; 661922189; 904725256; 292043343; 204291128; 976670096; 842340157; 291200222; 425677498; 517660168; 165986789; 587451396; 245600941; 635857758; 752784930; 744893399; 351273336; 296056002; 904292182; 462569412; 987074589; 73683088; 767818219; 893690658; 606969296; 503490423; 842389148; 426933629; 67110827; 85649744; 199203408; 304017697; 10237790; 976233517; 42315581; 776902407; 770922679; 173572947; 585320719; 72444716; 505389556; 488264740; 926372382; 407754262; 388065142; 157527537; 558833258; 212612289; 691424655; 9685933; 52158997; 633535740; 938767558; 667478627; 184645243; 879040778; 630151381; 928552979; 932056479; 420309219; 859747306; 318244352; 186259527; 296881442; 851718548; 647936877; 193348484; 459219850; 228153444; 966312639; 497165300; 896644231; 311823762; 963546765; 143186218; 992846370; 378428503; 421881945; 174172642; 628890499; 793055267; 312849373; 708865812; 391435264; 917729439; 749970452; 481945070; 591073126; 775686251; 418763299; 765436259; 136951135; 547038812; 746455081; 542311913; 520571978; 269289429; 859118737; 140981392; 869786499; 191918239; 255591316; 706147053; 482824952; 124422990; 783745646; 875740214; 953379459; 340585243; 220658798; 102646316; 436587005; 247681674; 48484193; 949686010; 131497075; 332111544; 185253036; 339425941; 728434345; 571827032; 664209333; 884529072; 812848625; 413866365; 586092408; 724535855; 695053701; 32947595; 427492187; 726639656; 239195781; 382674583; 397170187; 317037048; 285394649; 28582444; 154393927; 845943157; 667189694; 505186376; 152001205; 69890279; 700534095; 464122047; 132970103; 464467796; 200686423; 356022417; 687608388; 732185599; 192113935; 640469456; 46307778; 71434413; 456508991; 476217272; 262199818; 258100938; 24606521; 552281656; 667779321; 504120700; 608468467; 197773949; 535176362; 479608772; 882267847; 31488415; 543141118; 173019967; 364683757; 570823918; 225113597; 353992855; 803060273; 963166573; 703190115; 499484075; 268366685; 359268854; 753396714; 52876584; 927348410; 548917903; 392543513; 934116997; 370072870; 870300660; 422155840; 683695309; 424388172; 178019500; 289206458; 76455177; 953413903; 151115141; 348706154; 637376528; 475236070; 515932608; 218807011; 479339192; 253955050; 105195330; 603154913; 183713770; 588944977; 731527770; 670286984; 923559625; 77492802; 785020458; 509231478; 120485872; 182401120; 272232947; 871378281; 217005366; 542808669; 427741951; 360401189; 874219007; 241901547; 23859185; 310819405; 61331253; 656177843; 682584499; 142682598; 895534961; 843970673; 212037472; 693555255; 509046092; 839250486; 654124990; 630406427; 870528465; 806739311; 738511194; 477092368; 647782711; 621360480; 604768237; 274910334; 552344723; 5072231; 499865159; 984109026; 444172667; 676206831; 604301647; 527350123; 430214573; 610482340; 220636515; 550505443; 618958227; 713192165; 510024904; 344994657; 194098951; 700401204; 630887290; 914590490; 591741284; 952721192; 238813291; 314387534; 254911996; 79214472; 650204897; 847889864; 547806038; 456115762; 223821335; 202406119; 560949839; 803053119; 95571707; 399911447; 43842239; 565317566; 622096491; 695089438; 815601030; 595672301; 392268544; 716146722; 470803653; 883834020; 970847560; 701765548; 286157300; 62924619; 748525139; 103577624; 943337595; 73155459; 760843757; 513708679; 705977475; 366623856; 579043914; 200616919; 784209559; 429366696; 320469284; 192143620; 311619636; 799020161; 220053335; 196995147; 717079613; 427586579; 388575636; 208859669; 415268595; 590869920; 328211133; 29818295; 379537630; 427982953; 721932372; 451089583; 944258357; 449670675; 8802472; 462535856; 374221990; 544518804; 614939751; 664155080; 220791023; 646747963; 141730058; 600567676; 548746593; 42006939; 506928919; 388337441; 805528704; 433753194; 394583450; 26629244; 587712934; 563865967; 649227328; 563795660; 286992375; 550530692; 28451011; 901274004; 539503532; 849292216; 808264190; 138679221; 66181290; 671917361; 486995805; 752205886; 392618571; 692021192; 837119478; 860851165; 378477125; 938792542; 862795395; 801355905; 499947997; 224446091; 66286805; 756665739; 126387897; 212884619; 595415220; 576785178; 781865583; 149149915; 496972965; 457513292; 153414755; 858918106; 771554527; 419538573; 308555511; 641992757; 229520170; 619989260; 801167848; 923537064; 62456999; 805429262; 166156920; 2996241; 238660490; 402147108; 817778157; 754301442; 527076474; 830831377; 734932704; 423902497; 896820147; 99592025; 198462893; 846713152; 812178420; 139241356; 604331222; 338794956; 994147529; 617404366; 884982071; 105606778; 318049457; 674176627; 402907225; 472915616; 666916973; 115696169; 121522052; 346201588; 265420476; 241426472; 413971409; 375509601; 734351173; 698251107; 168990865; 530779350; 987373229; 846153091; 181246339; 435735688; 811139917; 954497675; 533565947; 306560157; 883675041; 403591046; 594079703; 447723377; 160233497; 699890327; 481446190; 340177737; 90051617; 104042955; 903427388; 399734068; 950080702; 397002681; 482815551; 735449742; 442518669; 804685851; 222025961; 176726922; 756802312; 53240321; 996490375; 278888697; 461820122; 941150509; 535695007; 184199036; 119026832; 617381930; 195032511; 629269426; 153911428; 810652848; 669186940; 449059710; 565078906; 63503115; 607333641; 65519100; 62520163; 891814964; 685913413; 690853830; 843473121; 227903954; 72685350; 861825444; 614094701; 279767975; 843394998; 649833079; 228462507; 121017706; 119912336; 235917690; 618164566; 67439665; 282252586; 258698732; 802348389; 33030743; 451131762; 257667573; 796526681; 82324688; 821493618; 910025481; 274484513; 783760658; 821157014; 879946706; 427556643; 306153549; 47759392; 129436233; 615242295; 388269609; 510647271; 415237161; 339943817; 714607725; 5403790; 473921077; 334491268; 889077548; 344974702; 659147233; 858948144; 220988141; 249775464; 777565725; 337626174; 574899167; 276312473; 93806878; 91766178; 888726234; 429774383; 884927249; 958938121; 841309991; 139074064; 761865438; 320014750; 289049382; 667619706; 49926729; 375921454; 673654388; 826913537; 559433004; 806631585; 207537306; 941870265; 668193961; 113905888; 511181923; 365504016; 29332193; 179733032; 689968524; 33818359; 732032382; 366769639; 440841737; 590597302; 711029776; 641907359; 400842032; 119609123; 877410219; 366472486; 830246618; 126457080; 102061641; 938917340; 577298030; 990630671; 235857330; 607068700; 523329816; 773185738; 912346756; 852868708; 626880520; 258242438; 339641582; 677501985; 616492245; 975155276; 750076618; 507379511; 727882452; 634604422; 160799383; 553760785; 187170102; 153389875; 172765314; 242365684; 103080367; 960917262; 725618540; 136782716; 306935868; 332251414; 302827560; 4534558; 599731380; 512070813; 498370165; 628168342; 780047487; 857655236; 932633002; 236247944; 375334199; 156553997; 427961739; 948384369; 690781519; 876343048; 740570290; 261355178; 279373818; 726386489; 150264219; 103475017; 605507994; 725013850; 160330044; 990045725; 285002667; 885231440; 273234191; 41226453; 798600253; 176854507; 829642569; 113344172; 828579146; 129645139; 935947574; 389423159; 613816075; 725641575; 646889249; 356863614; 379165206; 964162487; 772991295; 102696809; 83348596; 241606638; 210388072; 829761545; 436132480; 216201543; 388347211; 297034652; 386171361; 70350523; 777688829; 607571964; 693073127; 85965889; 999706772; 175782562; 359112370; 229532332; 735872523; 784025234; 967205006; 844390165; 426559001; 671283170; 12556703; 971898846; 261302708; 662132944; 465308733; 970721821; 880284676; 177954132; 955699292; 397936773; 692351474; 844663115; 662969474; 485324703; 708373230; 152037471; 417568351; 311562436; 418736167; 646330711; 624931158; 174508782; 751386573; 992294204; 32952294; 476510762; 631071515; 301909226; 162293674; 447679893; 89187280; 286486730; 743712692; 492707928; 673605204; 631966861; 531999259; 229362730; 129274509; 967869309; 109336746; 426951290; 308759016; 918220516; 886049562; 642630626; 606432014; 981716920; 475748692; 812953939; 440652169; 846148060; 479598670; 137167102; 862420932; 228343608; 905810535; 33945182; 29445612; 988773226; 124888137; 944000876; 908020561; 475646924; 919103029; 153527250; 712325776; 514620425; 56512204; 169752547; 515000856; 337176629; 917358580; 782430354; 506382267; 985688172; 266225068; 135274447; 474138818; 318635774; 527702092; 753878886; 497118316; 790981254; 856316321; 715127204; 243401468; 439797950; 774130813; 58807987; 445075727; 253345427; 962833228; 788947732; 859866028; 659618817; 973963885; 941852995; 253924284; 111356119; 506584661; 133781686; 977883746; 609409996; 217337620; 15851274; 838212745; 935170426; 539815132; 571883823; 48322423; 231490064; 402695197; 336135665; 365023505; 893483072; 320104217; 35182744; 37458171; 65053925; 218779454; 607804935; 93952143; 219582073; 873502930; 784989166; 328744560; 6205386; 668962822; 870244124; 908379624; 424809034; 706968776; 711820257; 954809493; 637057553; 879389526; 467574501; 843444928; 575788170; 698363325; 538204942; 938436212; 11976087; 907584229; 905416357; 526113975; 341147043; 469172221; 195494350; 922522072; 515773557; 930190105; 934808202; 927113914; 772530198; 465422090; 279076776; 665643551; 384601289; 434862352; 357607828; 793915336; 574493776; 922723623; 198214099; 246041536; 710748361; 79015603; 49485032; 825069684; 504870388; 567309366; 687355213; 914537538; 142564239; 44249321; 718758238; 892605190; 478721229; 434772407; 379838174; 302902597; 913462671; 433537235; 792380351; 371467913; 857463587; 847013545; 730519600; 409906301; 694948870; 456102678; 370654650; 682494653; 789667529; 837137505; 47739666; 552751410; 569634310; 560626162; 149605477; 973234220; 147296732; 459483329; 735640021; 288530144; 752954645; 364664456; 880109840; 658787517; 159947055; 841126934; 795135335; 24939459; 374747370; 53132679; 919320475; 145105089; 730188285; 281851290; 133658085; 158239624; 395277620; 304814744; 753250845; 184935586; 153256123; 724572479; 290022686; 23078244; 946851486; 469742398; 499880909; 981339354; 327805000; 652554592; 356193727; 859016057; 61840734; 768407729; 561904805; 788865026; 226989488; 388635589; 353446729; 78290734; 73959268; 827087172; 679400782; 697421671; 206161038; 530950509; 111878419; 780343086; 9401845; 876798512; 298197704; 751574568; 312827502; 605792728; 728544474; 452972411; 735067677; 27809658; 908703755; 957416164; 456250770; 870056156; 221394430; 169537189; 138164745; 382800667; 98731449; 863423187; 331122026; 911360499; 378888971; 112087501; 931297153; 73858829; 591682848; 936703850; 571153770; 307632926; 866931411; 675253548; 785654430; 105570264; 601897938; 295342893; 277254187; 253861857; 825936179; 955263670; 863444231; 12571252; 517584217; 922762502; 171163720; 519208521; 934298448; 392893482; 859792948; 791314479; 2324107; 425485280; 573027761; 793180981; 699339825; 197704285; 114064034; 882761520; 525188987; 352258399; 158591921; 228223744; 577727842; 497444636; 799917260; 441665280; 384163823; 616538328; 714985455; 606302457; 257523249; 207376543; 728981296; 866240522; 985477881; 429098309; 350421686; 24010149; 723930411; 320259348; 406539069; 472932965; 382231923; 116812682; 284521223; 291869729; 134697644; 276439368; 898610094; 194470465; 522279580; 388612777; 833342687; 461123050; 713766610; 356357286; 666853884; 146054534; 690711667; 726069790; 163566060; 359279748; 521333801; 987127921; 163516327; 816443479; 611069314; 835224770; 202559099; 13802093; 845225036; 761416117; 519420361; 768359526; 456400279; 871116785; 701482091; 61038050; 440033230; 644995589; 152672101; 527104927; 453373572; 868641804; 159175001; 478346239; 928308397; 726577447; 595954195; 488684548; 499735113; 257036062; 696849821; 841399275; 796094269; 371078262; 200339798; 39035855; 991218947; 286915617; 270073602; 265738012; 944318782; 593490283; 27962583; 138443278; 447633219; 571308086; 983897444; 947307235; 185124736; 694727686; 808734406; 764577151; 171514099; 297681165; 601010684; 374185819; 243756247; 532895680; 628338818; 288692972; 335581945; 547315962; 427685919; 733713837; 79372441; 747567966; 537249669; 819332669; 463162192; 85348741; 133032751; 973678012; 152544867; 896016500; 893948763; 933343979; 725291732; 516201750; 323711994; 4955764; 715569801; 742067799; 905556224; 45075824; 282584140; 65258721; 10821258; 441093980; 92338026; 611171698; 684934465; 471407231; 656313587; 990167632; 748876024; 353382160; 440277781; 964869659; 384660957; 261846480; 763852824; 271197915; 300104924; 644736159; 506999404; 292838219; 961780596; 654345329; 704309011; 520850047; 661086541; 892443638; 515797075; 621833933; 588550793; 54434134; 235229589; 20452239; 843698190; 382595353; 68803072; 302331110; 482059101; 856602208; 912449090; 782836868; 717915070; 876163; 546737205; 969161625; 941089739; 978052532; 788410283; 21637417; 238832062; 799665806; 789692577; 261882831; 808041826; 595679052; 783778842; 452690765; 302590529; 772683109; 272994777; 324617638; 584442710; 178322849; 916503917; 436462436; 880331045; 222286886; 854165314; 902841519; 542848999; 712588454; 687723278; 542254198; 411562833; 241493298; 954062139; 608770946; 506542822; 645763541; 729455441; 627476190; 385977377; 985329603; 128767485; 190689089; 343800938; 963013049; 398551470; 526633738; 993384415; 641341434; 757778102; 25424711; 263562699; 109914044; 547734031; 312181506; 632714500; 244077900; 224954441; 549086300; 42803437; 276505836; 919073149; 427077491; 637392197; 623330204; 82491643; 568625578; 215993018; 93161856; 163660074; 178832488; 124087955; 642078082; 997408906; 384000579; 631662498; 333599272; 23186278; 9146450; 510692715; 568326071; 610055998; 776362615; 438844177; 914729695; 5579212; 155140044; 674993697; 296196648; 162296212; 135585782; 771136084; 905039604; 27250355; 10902330; 57501528; 689240616; 580448567; 183798520; 584155994; 763830496; 918063969; 415436914; 860123327; 4037531; 438019975; 620710857; 517393953; 935310691; 936350458; 652933810; 108166201; 254717021; 838766651; 578110211; 297122264; 161513933; 142068016; 813118274; 175328604; 236880202; 177838176; 838473253; 867641450; 434988297; 178194957; 711345205; 849864501; 376796250; 334502636; 65760746; 192154802; 364665139; 18281603; 440637375; 522543044; 28333790; 119203428; 694252338; 941092310; 598319854; 10745261; 281789358; 603329421; 261353889; 385147876; 660182898; 532904332; 708844732; 331937461; 734907547; 155614260; 26965500; 81416529; 702286142; 53097958; 434314221; 309996497; 403730290; 33611546; 262870855; 739870499; 578971574; 379966093; 929443081; 999303963; 602668536; 787234850; 75306367; 936064135; 977197769; 688496845; 195256983; 477542351; 417079871; 377274369; 577742029; 177404513; 980327634; 583677071; 517056576; 640631518; 708879489; 805535680; 62894695; 595664511; 332571737; 812388404; 779658741; 942064486; 335893628; 167197329; 358479894; 491007543; 612890661; 779679952; 689904636; 253336999; 278620343; 371248251; 789888057; 149049342; 912304668; 631848248; 751602437; 273356057; 563164676; 711330911; 968382210; 201161873; 823282905; 877999884; 355340529; 272037407; 705670101; 753401301; 619249959; 169713387; 354500180; 502261125; 828818069; 127957696; 356290682; 598682980; 289808365; 86836967; 737227251; 489364928; 402516509; 482667885; 27247025; 299364406; 232686476; 353990562; 560169800; 661198913; 485710145; 343717403; 746713295; 908408637; 576013552; 246980795; 558385699; 96650865; 470613989; 848850021; 529660384; 652740924; 882066171; 227805158; 784099461; 725325670; 579542137; 663899280; 19989021; 516443020; 533274478; 679360672; 612206249; 938321270; 779779223; 202830049; 890713030; 466780607; 59045285; 174181504; 417579350; 306813352; 332892802; 996020366; 997409112; 97136920; 919173956; 107404537; 244154386; 878150105; 279007526; 236061846; 906587212; 789798941; 642466144; 149849458; 643110359; 79453605; 32484311; 840717495; 171946073; 913153448; 615861679; 541677868; 955147237; 695453787; 247788629; 654621383; 684095846; 666908694; 863771718; 730329282; 396811286; 732726019; 724198053; 929353732; 850798639; 582666304; 998456410; 841578171; 695631877; 520195833; 490898042; 472610759; 808377280; 375998947; 884012641; 99754886; 451617520; 118229153; 145697836; 397620199; 351293222; 383430910; 848033608; 42648166; 105573834; 986671983; 447479418; 501872849; 545090887; 744467435; 616184657; 558987255; 882315864; 319858016; 705622429; 541828974; 175441691; 424211646; 517736727; 301637700; 103063174; 847424044; 273788175; 905504751; 545919758; 578212973; 549941108; 826902534; 797082592; 99461489; 855480423; 878817983; 306095917; 819900440; 584827789; 724406483; 202536633; 868182991; 299426620; 479363599; 267451955; 513026284; 732436566; 41702584; 397384173; 794933583; 746860671; 772837952; 258059398; 500306772; 972570470; 629604993; 578820131; 849870064; 281734709; 634880960; 807145677; 667604919; 79466003; 188577198; 888052060; 349561531; 382827997; 196624888; 535816530; 638357181; 554926955; 106556471; 222277358; 747327164; 405325440; 22201634; 421677514; 391400292; 619558344; 330555734; 577023864; 64194471; 703650259; 677716371; 131765253; 281669338; 124867831; 414344706; 369038508; 603210693; 165471764; 357685849; 991888913; 511522954; 382258712; 643530117; 27113254; 640665893; 295801566; 382467765; 766234858; 530400395; 165709546; 89532349; 564924291; 6244531; 790752453; 883923231; 496870526; 316651458; 612924929; 788248302; 966351751; 323400513; 911478210; 569092655; 943879308; 422203714; 965523746; 562984424; 64022586; 806190705; 167496758; 641805918; 191764120; 295850998; 375417589; 809207166; 975411321; 375831846; 158385880; 987281039; 550957028; 593983760; 805398028; 39828354; 132308789; 818953620; 246552239; 365293586; 304977690; 844723195; 24991068; 123169971; 512153742; 469442084; 625537010; 243830985; 579082318; 353164745; 305293231; 627043652; 730121496; 442351250; 52870137; 238325162; 762372626; 598122954; 314344798; 159357364; 610825037; 455649989; 199640835; 580817601; 613661415; 754476177; 936752510; 109748067; 653115716; 712255458; 401863929; 640516390; 664852079; 401302699; 254879859; 315908518; 279849270; 112849837; 953629181; 995921890; 220350355; 549745687; 427174515; 907809848; 20919751; 111232368; 276049483; 481628247; 357664604; 586618352; 232879139; 237347783; 567933790; 213482734; 555080147; 473242178; 657828545; 370108160; 269452828; 860964504; 510731579; 643413980; 625358220; 574859101; 363078768; 103512628; 816503444; 599387487; 774433068; 767168299; 920746951; 415520927; 340801084; 820009054; 743778893; 288321944; 741104433; 203429562; 690390373; 357767917; 382025003; 832632768; 832466060; 550533818; 794618693; 607152667; 130682746; 944415824; 473084480; 580884539; 153551990; 566800058; 190993674; 480529763; 619221763; 109524653; 723282101; 22936687; 20462711; 595445807; 883342438; 284958572; 401924811; 414775488; 588064839; 557690363; 65322563; 848430476; 172272590; 615519974; 524496378; 768499263; 345888790; 155648476; 202614185; 566449064; 73984069; 21337723; 225372443; 828662486; 82036917; 715953250; 902452421; 99003514; 207539752; 29686005; 586158854; 398755500; 551822239; 246818291; 413785141; 92594693; 94815105; 703404793; 770710501; 108204816; 321819180; 915025673; 549339806; 447557876; 691203951; 298179857; 267334611; 280167880; 442528720; 734913948; 611020569; 200461785; 57147134; 138272981; 192983449; 61724384; 131418270; 721246983; 166256437; 602942736; 789661974; 856055504; 993889285; 32943987; 38870262; 889783590; 675882966; 186126058; 147392348; 267077975; 162847064; 451272139; 347767396; 674363424; 6561597; 487788186; 863080357; 776253077; 320940847; 406959622; 977166986; 962793811; 761803083; 558621740; 390311319; 665108584; 839874035; 395475552; 982250578; 449222169; 245474248; 888772349; 317351668; 712597707; 391040573; 532191613; 542430254; 108020254; 236575508; 352573974; 412429020; 761860104; 765472973; 31680253; 656728313; 728796173; 431308889; 393938417; 481593201; 87613488; 938855903; 968748621; 919118133; 450291598; 666874298; 305595859; 403915275; 414246186; 407731775; 858108781; 87948805; 724866802; 486734095; 439327007; 480352316; 234598758; 538357265; 602781913; 438408161; 649404278; 693105091; 230529754; 233390615; 954418926; 60657938; 99032537; 380244989; 786706427; 276414103; 641838071; 449884631; 173088613; 822506735; 853710559; 428092076; 347803147; 823991279; 765585931; 323141307; 989116973; 543175492; 34269431; 527565142; 362203788; 775863907; 815000041; 752575968; 150027644; 521604403; 664575867; 153380163; 697285986; 453674017; 230576213; 1181919; 380124291; 175003433; 658105446; 839760262; 303754046; 328263577; 208327180; 968613495; 3519562; 129139485; 629147239; 88805630; 157913059; 293098095; 92022106; 760846725; 668078469; 319045230; 6669585; 743015403; 154683625; 674288556; 348453602; 986828487; 961732412; 367219468; 996543718; 103758602; 304513366; 136051729; 186177115; 163413509; 586537839; 225994947; 599064389; 89439754; 793296950; 692184861; 235611153; 266496256; 224762201; 556601693; 482947678; 947915775; 555939991; 157633548; 765118763; 82831052; 865267165; 546073611; 825221959; 303947129; 733751585; 859320546; 310021265; 49036059; 697259756; 889918958; 386530732; 419010310; 405377320; 921083875; 724093996; 664122095; 440211938; 496103772; 160272802; 383005149; 545216551; 656152483; 341765248; 456592703; 803534566; 558626205; 247698093; 139054892; 222491365; 59943983; 310424314; 892943384; 446931163; 216894848; 408033008; 694313587; 60829767; 452291139; 644544335; 123964878; 29123779; 668630747; 702083790; 595684217; 804488833; 195320448; 643271785; 370416330; 56613113; 73544884; 715752792; 318118026; 718162549; 449997356; 636794699; 931221080; 812527150; 339549486; 931155348; 429196402; 213435547; 267552028; 856183034; 675091611; 303823105; 12310835; 500614708; 573374278; 531426335; 386541988; 152968393; 827257032; 216032747; 869439813; 140966325; 243224305; 939310904; 45251479; 785252086; 882372071; 883417183; 381177940; 688392972; 543638110; 132979153; 786585900; 708763701; 550948086; 624516180; 424267958; 305036542; 817893120; 629894705; 152578382; 982451184; 19082850; 604653613; 357978737; 837021256; 694995689; 480638298; 695433963; 96717917; 749491387; 397508095; 790904007; 969217436; 964081954; 276903491; 459828375; 875153999; 465360195; 841117767; 682834924; 80167580; 791010863; 439412786; 53207135; 584557075; 320961177; 199570703; 417365984; 268137477; 955591191; 843585161; 28755312; 364078606; 341342576; 333972191; 330757611; 495371071; 917804256; 813833033; 571319981; 709023241; 903020404; 815931441; 133898134; 481814853; 286964017; 259281113; 15371922; 17655491; 544707247; 625212523; 343134107; 445448816; 202042404; 953365011; 829658741; 487289511; 454231530; 757080686; 803954153; 240051944; 600189350; 631455473; 545993733; 497602211; 723605378; 306687726; 811251489; 48476437; 972922801; 457106779; 710628144; 709155984; 576162853; 344024790; 816376890; 196429546; 650450533; 790567063; 609123122; 140479732; 487008302; 369417524; 410474233; 11813284; 338146957; 203188630; 88102837; 170677347; 775550018; 464573727; 90153625; 541346175; 396924120; 299508089; 527710787; 791032897; 268564730; 42565954; 426977014; 336755137; 403212182; 685513930; 860705604; 850541170; 346493308; 449478059; 110951442; 136671989; 743900574; 344735236; 732703913; 136341356; 260215485; 998541286; 66049556; 76863135; 621931343; 985266622; 310981433; 252356189; 87419649; 412550387; 827098746; 344850697; 496390241; 369977236; 451804701; 800828418; 146286550; 787903606; 425723941; 574942637; 276837778; 342477284; 54756520; 664519710; 976015346; 482419563; 303072745; 550977753; 904426405; 85264193; 612955089; 407665082; 37748982; 61475960; 920998609; 672794839; 968810138; 792910737; 50548557; 301565461; 906655161; 128234837; 223760348; 230026089; 565798302; 754632310; 537260842; 751777667; 506880979; 600136789; 494985158; 677530979; 721576499; 35405317; 882354364; 422438968; 889433442; 347294828; 271092958; 512493351; 775370194; 78737810; 913395194; 897901175; 304137313; 660334285; 445626175; 809645137; 776420503; 736085824; 912571887; 699437957; 171929029; 671923949; 509305513; 378349236; 651277485; 122346307; 49591519; 674514626; 481954838; 666347680; 504895686; 752117684; 278636413; 769505779; 567601552; 680010508; 631200296; 973446048; 883371933; 885899834; 634569103; 176560710; 221166564; 549093171; 153813284; 364504722; 98760078; 665602446; 194151028; 525242702; 92538385; 381755011; 130991245; 778507278; 124865678; 14272788; 297724620; 304489867; 930758239; 481089049; 154931032; 733649495; 388095642; 239453848; 823842734; 10444581; 349741361; 63335399; 721524986; 838739037; 489711692; 253298657; 257176411; 641917782; 161128040; 344875658; 585148129; 670319011; 893520022; 76081745; 395731149; 339944870; 141815783; 358925659; 602137232; 507679952; 717039033; 117698351; 176692785; 605620911; 214618123; 871594292; 29550497; 436923319; 895643206; 967674489; 286252059; 948972642; 78451656; 162734352; 657456496; 381774145; 228053671; 274601057; 677924121; 339345251; 622719822; 945162065; 334975364; 693638534; 901314321; 297672549; 200281431; 723205570; 50355776; 356163487; 839915477; 490168671; 301725111; 562800612; 905966369; 704232448; 132044849; 865196055; 643432579; 702922075; 896763731; 186411651; 189733557; 616494184; 588079910; 835637604; 49607359; 867079690; 399563719; 926730595; 409191642; 62016944; 199166737; 51726493; 437552208; 561678237; 553396151; 326755083; 214644391; 241145677; 859679638; 395101672; 840272035; 5395829; 302547336; 527213488; 402371398; 947772447; 40460387; 631014116; 47273829; 376527015; 205088412; 999591195; 612492796; 96886772; 656900360; 450759419; 64659009; 745138929; 721779261; 186265385; 7844576; 158488755; 635839269; 499216146; 970953970; 180478362; 302603671; 634629607; 736887111; 165986394; 245649947; 160545025; 217631601; 953310807; 8684568; 572232893; 273648126; 989391590; 365358013; 181862891; 376076035; 266483727; 134241586; 123990104; 30983681; 179596556; 903950726; 678607216; 218442403; 704261288; 448391995; 86255317; 342155702; 738094846; 433821052; 187167301; 755669208; 76747788; 175173991; 916407634; 83540991; 490093700; 561315184; 372637720; 571337702; 795213203; 942734536; 658218630; 866202070; 419477828; 815139043; 358815032; 701061429; 344239562; 658886250; 905394596; 256692567; 523754643; 426772438; 820004502; 290500056; 301444506; 887680978; 768335275; 52468787; 697010351; 679253824; 688908625; 440122348; 319889522; 810420547; 113823091; 378128385; 596393259; 520104589; 57322075; 248931053; 284520835; 121037934; 785244534; 694617743; 911694088; 570282400; 474362624; 22709166; 230096113; 524087429; 420452243; 411633800; 334702851; 270203555; 534168447; 938004410; 907880246; 574229832; 553690840; 397582945; 531081371; 142455337; 350359642; 463641365; 70522874; 455850683; 160317199; 160954644; 691602670; 21680611; 745122717; 985110278; 471362921; 180404964; 163499070; 552221301; 544873473; 77047805; 100813730; 729635337; 530399110; 416201065; 91901151; 251742917; 84948823; 70360328; 619934206; 754484773; 125006984; 52456028; 209935159; 532292505; 956160482; 319215667; 773037368; 653017635; 487766112; 327234175; 672767315; 463331495; 888171378; 749618900; 156233392; 10537697; 366419216; 44104553; 69336931; 165236844; 352871762; 46299973; 531477339; 41417364; 775044365; 320600462; 125980965; 395192846; 850377669; 224083642; 348676404; 416603672; 372531946; 112600302; 962920248; 159467673; 834649100; 816132811; 230736193; 805050062; 27564539; 83243956; 194762129; 863932750; 450436943; 526335516; 641386226; 385057115; 236867949; 701593856; 837310229; 913838064; 441748334; 518067402; 369993532; 713134894; 455384439; 506514016; 227561447; 928439499; 747660066; 80936653; 857910292; 536118965; 372855979; 477553629; 158859614; 717036020; 612910221; 177371875; 920614988; 267855119; 904937494; 817679231; 244709354; 168288296; 388272226; 354465469; 448813267; 477006816; 274207732; 704675430; 549310363; 527084485; 989736419; 402272791; 785457031; 663755886; 727428753; 997462612; 428652370; 752489691; 749790283; 668794814; 626392404; 468315365; 477735580; 79469587; 8457964; 183635575; 191476519; 729948415; 87362202; 250262505; 236313093; 31527590; 755414697; 823387100; 409436960; 542845763; 587272099; 608270713; 526772735; 343601689; 155136791; 169618479; 116916779; 426422; 115813795; 609828936; 65047314; 681646366; 679204049; 396017727; 83920520; 639617970; 126699525; 302059639; 236274394; 393520908; 569169869; 402334979; 735408329; 174636318; 365258609; 12134705; 598436276; 254099894; 224887800; 820146868; 911966314; 89176212; 22568506; 44322479; 854077800; 418553421; 200565557; 47887077; 38167258; 993707106; 599260284; 772176880; 875475806; 784372658; 125789906; 926015584; 263241596; 662814547; 927543603; 521655845; 811487023; 221117204; 180427532; 659903398; 354777245; 753162304; 913435497; 113210286; 290747230; 273404460; 380278124; 500177934; 807648982; 436431573; 450626776; 708871174; 987763825; 110751987; 937794440; 878045771; 113722498; 899272204; 808941047; 280746994; 727777315; 112355986; 938779698; 607279688; 647531776; 292546703; 999439469; 747531740; 816751666; 501482229; 269017391; 333044675; 34562390; 478907946; 378881140; 603090272; 423964905; 96756416; 103413711; 463501695; 878746807; 972077031; 878121455; 70097295; 771555163; 778515751; 714265021; 709181122; 68932333; 372787435; 999488673; 815926121; 173613637; 325590456; 529982576; 844716595; 188643255; 729160602; 408965474; 203355813; 808010222; 125687696; 721530689; 803243417; 888503393; 760548223; 569136273; 20328868; 982368399; 682418271; 424299068; 646818202; 699893522; 526681114; 769602723; 486617880; 992631097; 313072497; 931738011; 211135186; 5746355; 334007899; 336459593; 928838298; 506138360; 186941476; 264032572; 436245078; 87901755; 938428222; 425600912; 505894359; 432286816; 899291953; 127275090; 528488766; 749136397; 398685024; 371444122; 691263398; 731718923; 319232361; 151885042; 822189268; 533107845; 570043448; 452688062; 874884006; 671046844; 869349848; 111413012; 953377055; 594145079; 782669788; 987070770; 87658612; 812401213; 612678411; 44813677; 624621652; 473825015; 280525464; 440493655; 359736933; 34254641; 602103293; 963384938; 450477231; 22173927; 731978510; 206379448; 656241647; 518134940; 609599363; 739238590; 123258423; 93171933; 394618864; 186397051; 168046789; 106955776; 810590060; 179640257; 687150097; 392957799; 945213335; 358515734; 543366776; 727244010; 96020968; 357373675; 243813900; 90829957; 490805934; 98604323; 344396328; 648898255; 241392633; 1113720; 905283694; 559844998; 272094024; 734328486; 188910214; 563835739; 337776564; 446607577; 493873526; 227864556; 871081261; 654347423; 446513361; 611383372; 459240535; 160431001; 231124459; 941308378; 67690495; 328193053; 281672013; 22206639; 957646372; 752437488; 617674345; 188070410; 940710351; 639551016; 984915811; 180188020; 313171538; 488180930; 887839533; 882228438; 562540406; 532304800; 526631259; 199396620; 888925226; 74489323; 453351465; 947411300; 788564203; 840687243; 51253137; 944182383; 323664159; 175399870; 125549825; 276196386; 544373155; 705403798; 322167113; 73082; 109252886; 719006514; 541315191; 516518781; 155873634; 443035733; 867524142; 183344163; 718253009; 240127773; 667416016; 950891200; 698492329; 666445631; 653196047; 506845481; 705054333; 465723740; 770146624; 152049796; 940243019; 110322032; 952172457; 987628161; 337310716; 2122874; 672925316; 736991198; 611116165; 745810664; 953394515; 238095528; 671319513; 129742674; 159326003; 293819073; 257185290; 684470299; 313732565; 420077798; 455520364; 483580307; 920787938; 45498430; 720216354; 143934963; 965257030; 854515136; 201754485; 319215167; 882710377; 952067054; 735997232; 51121482; 522966021; 385394847; 842815890; 516638894; 277628157; 785970042; 579547568; 800399524; 360043058; 221773747; 132955765; 164743300; 290596823; 734001533; 39487451; 597318901; 41322123; 32770386; 998173637; 828741308; 233082254; 271609464; 566269358; 290222267; 229714795; 637918410; 697028384; 976809100; 625082790; 185417212; 560443453; 338637098; 848013038; 303892301; 999044609; 335534195; 700741370; 948263319; 558955995; 815310390; 720641834; 720199038; 35192372; 553844147; 571871329; 740106835; 56279522; 155130106; 28355311; 667766615; 302110574; 607531371; 348202759; 28153049; 258040098; 597236980; 892348000; 73127641; 604235512; 36439253; 686069722; 37673850; 776902894; 228897428; 523215026; 435493636; 370958227; 678470443; 534592547; 419300099; 614230853; 145812527; 752910039; 345687844; 33945602; 845994740; 718317511; 395537594; 513277302; 131824308; 181223449; 225660100; 862532956; 779694590; 124676145; 657555548; 514377047; 740287209; 516501672; 341946560; 537495966; 78259785; 371536142; 359274132; 151062832; 768494887; 67443270; 472199249; 148937622; 543409903; 483079474; 722594099; 877237931; 220789635; 644224022; 923337533; 845377124; 287126024; 564135750; 622864905; 86901598; 518806202; 39568124; 835578564; 386263819; 863208844; 479577616; 267345079; 456977289; 373548102; 9349275; 700128232; 64867943; 840363993; 773106100; 486368129; 790973117; 166056743; 712053907; 60617201; 650720066; 80735909; 183486488; 511277826; 186743662; 500557022; 577208194; 272661751; 778560138; 253806232; 102478312; 332953516; 194226963; 366841568; 380456344; 812294104; 765258082; 119968256; 779454367; 28916191; 265876041; 684815589; 66081806; 721340536; 924815994; 155313968; 650221673; 619694263; 159848594; 328300755; 934197039; 792458056; 290622615; 58831436; 717608066; 130188335; 603710009; 731776980; 204451494; 606842610; 280810714; 567802217; 844169825; 597836602; 83004783; 950793744; 876823889; 324563832; 551375853; 779470571; 909969171; 707591803; 898997241; 33452772; 499626838; 8844973; 869890759; 779803414; 648691559; 765973682; 315643128; 221328971; 311823643; 790270835; 176204155; 553094134; 458230773; 481716477; 341419295; 933415311; 828985444; 732945258; 567677708; 877688254; 243113686; 961534503; 601017727; 250577348; 803946132; 620318594; 984107353; 979413122; 261743691; 117567182; 331338037; 977214155; 328372228; 162344702; 455285117; 6860340; 553136275; 896843127; 585823598; 670984387; 821267475; 652726919; 647888977; 633776261; 37160358; 321204169; 720173067; 537167637; 414491555; 141906925; 741113291; 780287347; 954339076; 42364810; 968897074; 345383775; 196296909; 488043309; 880366669; 651576777; 435315435; 975494115; 639521813; 647459257; 412537298; 13505783; 74802694; 514631987; 957529938; 166483659; 171457274; 982516182; 619841584; 961984203; 253058234; 55147038; 967290933; 598653393; 49249287; 714691832; 633659711; 175441846; 668740102; 391531889; 872260053; 143540086; 437242799; 759336832; 835185940; 492424387; 58838124; 34169997; 38650138; 335497990; 686027410; 340082218; 729259404; 85167036; 704677792; 715863273; 5379784; 736539120; 21837290; 500947688; 568680404; 18649062; 353165769; 743281846; 329790609; 803022825; 106323560; 939790055; 855118932; 395247380; 710215084; 671835621; 707495924; 954616224; 145382418; 309782559; 380021233; 570022296; 740358204; 832340771; 579888834; 142792920; 589092762; 689187508; 504758140; 300552837; 133555385; 842785059; 639107222; 837323793; 263810491; 195810803; 821647624; 426378577; 699223550; 689003199; 656249640; 929574682; 87549840; 696460103; 889202159; 775939967; 896540159; 116563655; 216835057; 162099264; 675770938; 77234716; 451158789; 563555059; 639340466; 936996486; 160390920; 198452932; 11038333; 279077222; 366041130; 93308031; 561604254; 813866084; 939061355; 673503323; 169067299; 125707721; 28174435; 399197699; 678389024; 441997489; 419945054; 882171674; 354712320; 152304180; 732244574; 200146818; 218794429; 241978804; 410513720; 228877864; 167640672; 187451390; 399603526; 70020303; 176513943; 367739406; 163114736; 298677807; 609378713; 22487780; 354514935; 547428836; 35613962; 454339127; 494023427; 524108015; 565770256; 15939085; 28990761; 675966; 108936604; 958223018; 851997590; 682696332; 156189253; 281446565; 201939306; 302523879; 368600640; 794114046; 10011188; 245407482; 552736200; 519434087; 320195289; 783119685; 873325425; 247461467; 289913835; 954404293; 745804436; 350678315; 463521194; 576768293; 577275038; 969797140; 385197568; 4453837; 337394214; 764253889; 495945328; 362826645; 908362492; 710787106; 654436238; 12228836; 950450515; 656446180; 122144614; 667684938; 968354333; 680755237; 509080470; 196181123; 276902870; 594732571; 984547746; 453341453; 962600924; 718494878; 109028389; 843373674; 709694653; 364692641; 336546855; 342293435; 581272676; 781212038; 77385414; 844730252; 949300304; 696328887; 794183512; 59302651; 136851735; 331528308; 480288297; 668491931; 441318910; 264391635; 375415256; 659972923; 256529279; 561805913; 682905248; 969226309; 392237220; 378596482; 601302704; 179872567; 261197532; 688886620; 196342349; 63579702; 906141476; 900401622; 132665497; 267899516; 96039340; 472080731; 749859703; 860109195; 384106975; 831311528; 307315446; 95858417; 798244728; 226045537; 943911566; 769617560; 977665238; 135579293; 828948207; 510681499; 625275971; 68127783; 940618113; 876263403; 456468793; 939988553; 593944374; 761203847; 791926862; 241901930; 271111793; 641809141; 560035831; 406965522; 682281115; 409427272; 550790902; 849628222; 959503013; 131164739; 253912116; 820154388; 145116559; 704236450; 94652228; 892822914; 734825559; 255292494; 731935773; 84624086; 363901594; 916807666; 896295469; 796983581; 188133361; 325126133; 306834182; 737051508; 349490488; 907463069; 792309590; 862097218; 547824147; 50527423; 552469419; 129186640; 432893930; 704277729; 139564637; 927343431; 775883947; 60661774; 906931062; 441855316; 546876848; 742733234; 882463833; 999218664; 390767066; 879062833; 347196037; 904571972; 202518812; 924792524; 913103774; 433216228; 231516884; 110931814; 204767186; 892020301; 758498003; 55632240; 852626194; 853208641; 39201337; 796591584; 788632600; 815499432; 981290889; 43954371; 587594948; 770181213; 235788939; 843711087; 237226942; 666737944; 94412029; 603393417; 652172729; 559300265; 207410178; 58695385; 407605841; 858452849; 798941281; 757273232; 863487460; 787288378; 659887735; 742526642; 202003257; 378793867; 85464143; 772799246; 422553219; 573341602; 479946375; 695467144; 592803960; 204900362; 357149545; 411780601; 460015373; 46177022; 810443724; 4998103; 849888747; 168690068; 807520421; 171341175; 390408419; 837402058; 96470358; 644921218; 616492482; 396748270; 460562573; 84686751; 516775039; 359195286; 437074236; 385430819; 199471215; 565683707; 890472090; 239676516; 348591199; 251220598; 59754611; 106711362; 433166386; 139950191; 685355789; 965423068; 753063559; 352431649; 357175377; 778150449; 608294897; 143969024; 870055442; 504505470; 247977459; 285118569; 639750206; 657535213; 129015953; 67320789; 748963577; 931759266; 579707749; 735872711; 256093077; 575383146; 727208984; 97087993; 266117315; 672173920; 721198879; 680053140; 784775260; 394836836; 51237261; 869519151; 534873320; 505798032; 70184179; 920885931; 138718091; 935138104; 64225916; 73657433; 17554304; 791798442; 14707325; 572153957; 441576886; 95420858; 601842546; 485861636; 843971544; 849396962; 729506776; 138700555; 831196616; 788578208; 947957916; 346652400; 993829964; 953057948; 493175676; 256190744; 688454369; 849398004; 71861147; 900422978; 849333005; 831503155; 454906122; 994345876; 992758758; 45374321; 564416840; 442153328; 745751603; 300979271; 57774193; 887695041; 766121248; 178679156; 501292817; 333625589; 658978505; 370603314; 255397765; 274270154; 368842703; 515681402; 498556003; 257347027; 668949872; 879921221; 208621658; 654651245; 649848072; 472732771; 201061534; 436739422; 301068100; 782765014; 686269160; 635093404; 857519413; 401924617; 550387690; 334378784; 525295474; 25948021; 552728773; 521777225; 934866256; 153451934; 211065657; 168820683; 394652294; 512638707; 68905478; 536143599; 877958269; 935582786; 504060141; 340358382; 555478512; 221375451; 864211794; 345730522; 385228539; 73838715; 794136318; 479570483; 160133441; 750198643; 37063576; 135719724; 513636614; 476173229; 599783681; 45660220; 974156231; 508910135; 815742270; 529643223; 332651916; 853220478; 448484874; 552250318; 334941100; 712397461; 309729375; 523068161; 850764689; 794087837; 651854732; 485082547; 214224545; 661273051; 580813188; 574042496; 993241373; 591440418; 456533555; 385100150; 874318066; 643792474; 242075776; 102660884; 797703766; 839523159; 294682614; 652844107; 232709449; 321268731; 496894840; 21991314; 318705898; 141375591; 124309995; 957825245; 424932418; 193977154; 20732419; 800736195; 128943605; 649469039; 366411072; 193727350; 408963945; 570034592; 281456521; 471974484; 224620510; 355638671; 73273236; 802723431; 925788702; 826774875; 533853327; 227555857; 961275778; 951832413; 901421971; 544099966; 540983783; 391620533; 257475744; 994543572; 61582749; 981044414; 117314833; 222362142; 75598939; 502511852; 770805727; 931285479; 724055455; 308403531; 164221563; 57855964; 437725114; 141064199; 786152392; 461216043; 728451253; 971910866; 729824082; 305917575; 767807271; 182712996; 362581653; 758162553; 650031362; 993650256; 269349581; 642299280; 380152479; 273112546; 620883381; 180406508; 394336999; 173960662; 990874306; 417589107; 932088011; 585627299; 723213559; 103335868; 522320198; 439026761; 159841539; 971261321; 427604108; 713981145; 700113156; 655705799; 402643841; 458898955; 115863006; 258098856; 387046647; 292526576; 292025798; 219485186; 502146940; 413593091; 248743336; 63381455; 57746196; 916614017; 328447741; 373035506; 503531631; 46902466; 18488179; 255826181; 630007726; 371712011; 670915511; 483391191; 16098305; 439262622; 65883633; 195950252; 389960392; 744939546; 521697715; 993543313; 618896876; 217579697; 794416823; 795043445; 576780954; 340439630; 259732044; 689064235; 613528794; 323885169; 536188469; 607648997; 752127874; 724872515; 653630031; 670933602; 30038067; 603781647; 231999045; 982139237; 827262455; 399202390; 249451210; 768358106; 252142702; 187910318; 856458271; 586308429; 501559943; 862727520; 105868172; 475099564; 413414332; 76559668; 348707716; 534257277; 932272110; 927209874; 240442031; 844689251; 588897811; 607854439; 565482524; 970439685; 14774155; 962874912; 568767320; 198285363; 830844131; 435629888; 711547957; 809562685; 33902507; 311162592; 111235200; 27029480; 50101687; 171692189; 759367125; 859710193; 269912015; 241500588; 295267549; 737764433; 598659092; 373101780; 993054350; 667068800; 288211915; 939779167; 825257091; 200140191; 710827886; 126002153; 48299132; 667572331; 771312046; 487849659; 763639019; 989099084; 192419063; 331175045; 399479298; 347860457; 780027420; 883108357; 722251242; 854085129; 926352119; 858226544; 945784468; 93640950; 21582141; 271672477; 130639094; 845434739; 896636845; 226192907; 509995429; 517116109; 30534644; 452612264; 491872459; 481750868; 154005272; 174810002; 78343286; 836965177; 717878295; 209914299; 771376396; 587363625; 19629475; 834194252; 775877013; 84703971; 757745999; 656653263; 830147872; 786385888; 742037812; 632870462; 429539192; 19721526; 792936592; 124913830; 366304124; 303652978; 39479117; 708999396; 540486612; 677023529; 139414087; 687370347; 439051260; 322198716; 795155349; 495140016; 545679751; 715844493; 898967914; 953812843; 964374146; 796754548; 223533222; 836900317; 177890438; 470904957; 22812032; 685406949; 298995309; 584235407; 662690924; 377134769; 821220798; 709110485; 861414494; 253098874; 407322935; 913995520; 945081793; 128913923; 515911708; 110929745; 85567669; 905706543; 969884808; 55650951; 406248797; 872994309; 335672315; 389289726; 548800171; 100265421; 897085779; 423942871; 17033924; 801821408; 231137169; 814621133; 606411059; 389003024; 266843536; 590861206; 645028699; 883908064; 68254637; 174725051; 549066205; 184870169; 794928408; 332263122; 835437140; 584326212; 126150821; 786069224; 18054001; 946143754; 583359531; 309909369; 148241648; 672771710; 984978423; 183139644; 220648948; 711860564; 639507861; 988168375; 655328654; 723192081; 856234001; 225657874; 416932069; 408856552; 323186070; 148611545; 190440093; 22822661; 499565480; 823445580; 20432976; 879388250; 648225967; 179300955; 115180248; 341648981; 230389453; 383723097; 584726049; 298168678; 182197077; 320184470; 399510789; 514820618; 886640983; 445934109; 721423184; 769225495; 439972079; 445793201; 938367920; 484590540; 910326390; 150788460; 529913185; 927776235; 138576642; 471264914; 501101146; 474411004; 897407936; 437252502; 377612464; 451470763; 416482801; 510185721; 428906062; 201192675; 889892421; 218565480; 509083180; 251008259; 595465945; 240348143; 492772579; 902429440; 368533515; 436082982; 10772773; 297155571; 214966812; 122506792; 945566685; 855862239; 890434028; 259219731; 3121148; 997383103; 189117447; 712572901; 757718296; 12636393; 918963182; 8991490; 520702503; 938559462; 741942020; 548695132; 740709088; 214890626; 204171199; 571831745; 445774103; 431013474; 791557538; 918672570; 538272442; 710695519; 590912697; 823036267; 939479895; 397237871; 61321892; 19273675; 584404641; 300505567; 461846287; 128898737; 227333678; 751868761; 834113785; 563607231; 607878072; 612493536; 924884692; 937603456; 293070111; 435612004; 312615589; 772083543; 893318033; 79560794; 247178381; 756710277; 814685082; 764949834; 680544175; 851179595; 308209256; 758027394; 880870878; 974184459; 866560176; 930144485; 508422105; 173435669; 947985048; 469092307; 881763363; 39938678; 494941081; 395221711; 816340373; 951157388; 912218757; 348537262; 505843153; 435818353; 652817791; 733033378; 956140759; 985451786; 667411621; 895208710; 465169766; 454400079; 978586020; 68752661; 601134189; 115979080; 499203155; 287956828; 949970329; 612155370; 440467938; 916528907; 75693095; 878078798; 368129265; 636648356; 655755239; 122393776; 715642934; 477649616; 667073150; 435904554; 795806862; 548786062; 57081765; 692663819; 187205878; 32291245; 154042234; 70745720; 277786182; 129193854; 451128157; 206958992; 333316630; 372848943; 275575500; 341699386; 120751631; 704502060; 778929770; 363482856; 867070234; 103558099; 465185707; 702565980; 25323306; 851494448; 525906472; 416009705; 298848131; 588452532; 663738440; 297677459; 162757732; 89729989; 479356327; 924785; 398304201; 787625182; 842548036; 598227226; 993281678; 695789684; 710790865; 376809755; 641895152; 87585884; 487676489; 259129684; 45901412; 381051003; 235875814; 54082278; 106191202; 345207702; 823284450; 128073997; 609153669; 855169689; 26957210; 381104156; 391395786; 742083711; 551325829; 503886461; 877898800; 329225464; 582476815; 908240110; 724394706; 650067972; 193936806; 168468738; 126914850; 327283981; 694756582; 656766795; 718055685; 99163215; 853644871; 567625250; 610927461; 174038540; 4284302; 65319; 530805149; 401663605; 432355937; 71780558; 750694303; 137647437; 472577239; 58346470; 217350257; 437661780; 590472677; 319838450; 305641879; 436611477; 80111207; 486655307; 328413353; 675028849; 463213405; 389821695; 285479991; 150451804; 878222479; 133681518; 392478983; 480486156; 121858385; 495207158; 664182078; 939519108; 308067041; 13250886; 902646495; 269267823; 566665409; 628875001; 724915906; 209349110; 240257554; 984220446; 201478021; 597560921; 495654541; 577983012; 517426380; 722604550; 468856779; 574864522; 593805433; 581997475; 944918407; 851783026; 806849726; 870647730; 844626496; 532729254; 509795690; 908872837; 628915297; 947981255; 715189592; 25024446; 947271100; 147592944; 750871572; 792070665; 642664333; 461918765; 275265522; 496660941; 870170620; 830056888; 957045141; 199406422; 439810; 661449997; 946385970; 697180259; 579412060; 432265979; 157200988; 217658740; 920116793; 800963342; 544976828; 211297501; 930459883; 103855624; 903616798; 22078694; 20340421; 911670400; 818293035; 550815446; 636705791; 431370700; 185367277; 943729250; 161518389; 10772915; 445300177; 278435807; 827037228; 852177914; 675400928; 631934363; 180305796; 355172345; 740342098; 722583253; 84278726; 140351160; 291827515; 934221305; 62121420; 839099627; 57241306; 679437605; 989882225; 586487879; 863769484; 377447155; 270805843; 432530129; 286875949; 539854661; 903850367; 964154446; 132140398; 724587744; 900545538; 699244153; 389827555; 603213113; 561883833; 771620912; 959713188; 293455975; 942132154; 36209312; 759689209; 90292570; 5369608; 608787776; 402389053; 804671494; 261774931; 777244648; 161671645; 682005787; 218922866; 145595999; 632822722; 615076111; 60400606; 911602783; 635937728; 200268167; 599948160; 557236153; 636346631; 212054887; 850428787; 209859369; 285152629; 326972526; 776096752; 762318504; 543239774; 797644565; 31931619; 780171322; 314190531; 649913886; 158003871; 119289108; 57743499; 567747755; 177021052; 964664454; 15337497; 38335945; 290274962; 408221971; 401159767; 42356248; 576839203; 695251614; 283466976; 21918427; 517665424; 191087239; 262442568; 686310757; 84821890; 704278945; 206994502; 474855578; 603556078; 137422463; 439711342; 171935307; 367785377; 180118194; 615875182; 622246939; 855842587; 455100332; 548318194; 532225442; 356797278; 834057765; 295707356; 550228800; 498181386; 646336409; 305430721; 675651217; 721449310; 41832220; 237258260; 939231333; 764568827; 423837891; 909415557; 850553884; 435511584; 332879618; 738842919; 89390230; 780301793; 960497416; 82382273; 833966810; 572387150; 937779769; 148054255; 745661192; 536268224; 872681147; 911240413; 261928940; 168104360; 95545580; 277589796; 608026861; 459541118; 65499425; 932149248; 142452129; 287248164; 797279738; 264022503; 892300745; 775167820; 398179949; 862392042; 812950043; 997322129; 571576688; 238503647; 296930185; 557000198; 156390660; 48064481; 67498011; 854695491; 254333474; 223113449; 507104026; 578748604; 291433868; 248644793; 846318317; 416992242; 293259346; 931964890; 587768104; 968452454; 890431358; 244500783; 857480349; 636473480; 857487651; 240436211; 817540386; 226294936; 839009922; 387608153; 913141918; 284272695; 959573613; 701903432; 968263196; 765172834; 481013306; 18596511; 267211980; 253658514; 91770029; 306763949; 874789850; 588175056; 744980046; 947098563; 274203804; 721782303; 755168674; 847155342; 118083735; 998878592; 17845493; 842821869; 262485037; 3657268; 667005487; 190949753; 130914712; 79401350; 626630350; 987047200; 814336045; 364844008; 101713611; 211623574; 555120974; 682625425; 904095890; 814251438; 591227555; 52517350; 134973753; 949023865; 230297159; 997072075; 872605135; 168771176; 167263325; 21982170; 688778198; 498981905; 641642436; 805547581; 217994858; 564477198; 88713771; 309482707; 386631739; 720010748; 505756282; 587500386; 988549425; 366363542; 831471546; 582202991; 652710605; 182800603; 352097976; 631427435; 915687347; 779368105; 26209886; 45274527; 615977557; 158224408; 438503606; 342988222; 524649749; 752687841; 109561910; 380593793; 536911176; 504335824; 90114726; 901528492; 796006591; 992460360; 680171937; 8642927; 277686363; 941526576; 718808719; 794699082; 64104580; 127184947; 435809784; 521280119; 101978205; 165922814; 888778997; 867578948; 529543072; 730497338; 129790029; 25957923; 437972614; 594221529; 10944832; 362323070; 571978362; 347787857; 771581340; 786664295; 850667343; 597329689; 355554290; 741603187; 796593227; 334353690; 391949062; 478255934; 261182841; 238652137; 552096208; 175373804; 692125305; 849229358; 509588252; 757033312; 644027411; 253654659; 45066607; 506235806; 831303395; 720839041; 190785570; 778043328; 433579540; 996180198; 356501579; 939713884; 318771557; 252582353; 176507676; 38790592; 263518135; 797483898; 132914812; 874915547; 991778086; 686346732; 839252507; 79431229; 299513911; 958919041; 922542202; 844830532; 817556712; 94340424; 940217018; 581907938; 771757665; 771759809; 717759565; 462159149; 949197779; 484091814; 706157092; 390183738; 633076378; 183638551; 236272850; 696002465; 252781297; 498824874; 442612254; 582836756; 678863848; 723200825; 197666694; 639204822; 685775809; 645410302; 374438384; 439577407; 164093305; 531214485; 585336486; 815064550; 931466452; 6303388; 199037835; 462906037; 521473211; 756060285; 29136342; 634559377; 699369959; 60813892; 406824645; 216742186; 611547407; 890820082; 714078741; 168648991; 538167279; 529353376; 112000705; 867290946; 669604151; 862358600; 685439392; 790821035; 543169541; 921339819; 916238069; 712135248; 244840014; 997444331; 722073300; 426358056; 296912170; 163693130; 748983299; 747888429; 923248622; 357161877; 146954839; 2764540; 880829910; 937594915; 513421923; 314754196; 184695180; 705415822; 145786376; 584274722; 760437914; 914348281; 282025625; 284861532; 160559352; 154909831; 71642307; 36851642; 930960391; 468072531; 708236180; 523682292; 612834533; 397702410; 240277097; 156684868; 640072772; 289027168; 639057227; 873097294; 624990159; 854145512; 435589492; 872588194; 534252487; 828679833; 780481647; 70637590; 402613358; 929324463; 49856650; 66578754; 733548133; 812641041; 282652924; 306119943; 337693988; 967431260; 574586795; 708883222; 613270197; 154118607; 416464848; 462305853; 14455328; 64299396; 854297929; 722307974; 741382207; 557030286; 972264717; 346447029; 822797021; 335292761; 359239206; 476836151; 199307137; 802552699; 529389802; 40705378; 279909599; 637992772; 939602696; 766789648; 413518763; 305052414; 898913355; 176703396; 67986608; 757167538; 975859929; 496172257; 87069582; 692892574; 90077206; 175333088; 287035373; 914335128; 187795724; 638335285; 797479256; 278588495; 187430124; 675728537; 634055760; 768279964; 286007065; 793199096; 712218870; 315395332; 127653478; 197723401; 729233007; 908741410; 827391220; 517760150; 497837169; 522181433; 196468998; 58820522; 675527092; 642487545; 880391688; 298431012; 603061648; 395910974; 891719282; 813936204; 297246437; 663533740; 724986921; 274601706; 802085817; 145004196; 640530688; 741144904; 87395571; 636437574; 971505958; 908368542; 668592554; 852804503; 776686583; 841021708; 987291399; 187339405; 10477533; 997728565; 197281302; 390942001; 15357400; 524396887; 223847134; 763550155; 216884853; 791310388; 572841234; 195223265; 970333876; 953555200; 23661116; 548992695; 11420769; 499207930; 959785370; 701909607; 896506799; 888435592; 272073812; 337621080; 373834359; 213280551; 952036878; 259716567; 178658863; 218553987; 288578098; 529682630; 801937700; 957420350; 624220675; 284719882; 848116046; 129314313; 978095507; 992914664; 861744483; 571760665; 98501359; 864590394; 378462076; 703217121; 931584924; 969529365; 461582946; 547990610; 802057707; 435923215; 430013472; 696117132; 421398304; 386358332; 594558483; 557976187; 388999821; 36588433; 716579440; 850467310; 751006761; 857974993; 462148049; 640304510; 14806628; 511149350; 134095703; 91098208; 245729141; 571061761; 357915926; 772389283; 836004959; 886079217; 895467423; 816481391; 733914572; 737201584; 303019881; 171206635; 239531484; 277628307; 864908442; 970018667; 394712424; 487521180; 587739206; 538246304; 975026208; 971793410; 385330169; 105465470; 432680102; 665757368; 329509654; 244310653; 756378309; 423568488; 793648151; 647472026; 549693935; 239652687; 355367952; 620024835; 128834307; 327926998; 123259435; 22677623; 328799045; 174640706; 485026527; 390884909; 877592372; 492863467; 547857513; 540588022; 581591735; 834387376; 657937816; 458520168; 360537616; 391283416; 778531388; 581446206; 536338246; 977181206; 436803484; 214943570; 145652381; 766289855; 656652966; 3613295; 468108480; 419741547; 883224441; 612829924; 972081104; 347931761; 39148008; 856814869; 891561034; 869539619; 309155072; 859423504; 990231125; 621844969; 841800137; 786762325; 883479353; 813065999; 92726630; 257226324; 902615578; 348261780; 794272293; 150986987; 307064294; 10643687; 75104208; 60948843; 188394381; 859108793; 796554273; 491183521; 315962546; 896190199; 698900148; 293664036; 385428892; 462868967; 900065902; 204075442; 698550611; 173475737; 683897762; 147900133; 585781922; 469355064; 943447783; 567384662; 813627785; 78879951; 742334771; 899984358; 588155940; 920456021; 778498864; 363186127; 190272684; 703670819; 628457422; 822245606; 732431291; 315036459; 221062336; 397221611; 225287120; 66523752; 108836931; 677208159; 134256630; 881239899; 890611974; 205418486; 843493213; 491299204; 463460621; 516621405; 109499996; 88647917; 742975401; 479968985; 157918752; 755746626; 322806058; 925938266; 950492858; 138866001; 594132446; 330264088; 154014079; 139875080; 722952756; 240909420; 751837772; 512562406; 194386053; 864232815; 948407570; 818419175; 2206255; 492841276; 747703923; 41417212; 696538591; 233744548; 313378063; 348170117; 526035301; 19546255; 641301114; 447694180; 748620684; 303825886; 337182923; 220021200; 553103182; 606666420; 966991734; 871485851; 959166114; 47175392; 60813862; 394179811; 924538083; 809829539; 946472271; 800409805; 390228801; 190355306; 650490817; 640253617; 829628831; 118684483; 392589620; 916329535; 761761304; 751432509; 876414685; 900990432; 650994812; 552409789; 837758882; 281566026; 376237118; 737360456; 571852725; 653756555; 892289651; 863022151; 292696126; 509716658; 491571681; 812779464; 535811188; 449539393; 185841894; 353939136; 426396645; 64350744; 324676552; 948753710; 44454015; 179610892; 908814548; 897913796; 284242296; 317149607; 360127567; 572741500; 635260558; 10689358; 606281229; 980952456; 382101194; 10974366; 99436639; 694327764; 830097302; 921007707; 148889839; 768170911; 464195444; 409533053; 214613262; 414651219; 668372833; 948576074; 336639452; 948841293; 253533551; 744398774; 661625774; 263128538; 445732475; 699051449; 999065265; 863737064; 708285580; 727910263; 693434863; 324403711; 314960258; 874904816; 464655656; 42728788; 944554178; 935760521; 32682942; 226524216; 321534052; 219969575; 63871806; 423692101; 814392677; 832777748; 393386520; 331897039; 247381899; 911275566; 604450913; 933332327; 460048858; 415883190; 38216994; 182653754; 967368374; 382694521; 952046023; 578243781; 260989550; 59824283; 520852935; 596329913; 516516819; 458014931; 614663587; 122147473; 581912905; 953338545; 542975098; 50144972; 613098606; 11099411; 102321457; 954516357; 901440493; 386955984; 896856103; 897144933; 72367860; 233788363; 691106393; 583514274; 369587732; 360878776; 172839038; 264347251; 604888371; 923415436; 838472103; 237705395; 777880386; 316428279; 99392509; 908353262; 245224607; 539801735; 596842274; 83408729; 459643218; 7518940; 944950129; 175926323; 74152010; 81306648; 275173038; 800512710; 973241498; 265703490; 690495786; 135079119; 758281994; 249951250; 284185889; 241835586; 56401782; 109706133; 730562988; 867729337; 373759362; 607928385; 343580231; 427549760; 123308699; 35921612; 689132609; 771774015; 906968430; 32892923; 713281698; 412682059; 646782876; 841064387; 605295209; 543783500; 625369761; 205519227; 822380188; 206632568; 251012971; 745695747; 196300166; 892841365; 78773177; 985566260; 969318175; 683316655; 837068473; 791072210; 243678148; 140865842; 72660718; 881380838; 538063396; 37493481; 509851565; 20418379; 526479005; 732037785; 477430234; 527605318; 73146344; 625319593; 160562077; 741527942; 905030870; 41470686; 754526713; 559130300; 753095530; 631801599; 369037368; 520298555; 711950448; 954644154; 707617184; 358505846; 219872100; 524866216; 998245296; 718108439; 324623640; 406072672; 272238275; 842032162; 892682221; 967762635; 915257425; 718891842; 137337068; 981028853; 24852099; 518644157; 416154501; 975145192; 882970034; 762967064; 452960453; 714077274; 368515991; 92093515; 883582495; 350022345; 972127967; 897691824; 862484418; 50453860; 765972770; 776675487; 220297344; 719230475; 734906146; 466730578; 109036935; 488160229; 275997032; 510766425; 986955570; 629087520; 994511487; 465628615; 227215044; 384890636; 532943426; 887125852; 305364822; 923931376; 478140246; 642843524; 120444978; 16297668; 476969862; 699673778; 245863129; 24104075; 88520521; 604658106; 388678943; 202922461; 399924948; 557217325; 676758005; 579574710; 523624253; 681361313; 510323340; 149758874; 769648490; 826092815; 350926880; 653845897; 797882992; 86289504; 773885190; 628166051; 427387195; 922773884; 880031469; 845125135; 504637386; 935210436; 545431825; 885413394; 830118372; 707295076; 343590766; 892308268; 432359632; 307563805; 846043970; 676220080; 721974176; 922163550; 377672348; 74153659; 487575882; 208818326; 808095633; 617221221; 96566640; 662946818; 113513815; 322351567; 784207463; 26105831; 285536221; 768212505; 469063978; 965662275; 271136411; 349917103; 922504437; 446740386; 870766859; 956130225; 456780899; 243731664; 938994497; 676045953; 411520052; 829672919; 395089552; 856226046; 826369624; 574373992; 629891191; 387571669; 646489575; 715345105; 449696863; 483240107; 920528911; 611976389; 385374334; 208293094; 938905158; 891445399; 492129556; 233007161; 311429379; 909581302; 672164598; 859378737; 30992520; 546715355; 859716820; 581253696; 119594751; 383655730; 806115305; 749163130; 11762412; 900573967; 546536418; 365537555; 716526815; 687736965; 552330389; 419599286; 549545254; 813944411; 179530342; 919337293; 326991489; 470628052; 360418541; 46906385; 623808890; 26896809; 741082390; 898124611; 874694677; 655784677; 673632844; 616355535; 722182536; 396036108; 558147763; 869719621; 31478883; 302740186; 559593546; 182027168; 170526069; 321092190; 229894078; 276473519; 802462107; 457206092; 130227100; 416031942; 526334357; 254960808; 485313316; 335695413; 829228682; 624448852; 799618631; 925032177; 60571346; 691736941; 392920134; 786072370; 507077065; 55461533; 650312599; 425948203; 94203395; 458632235; 506126349; 595844681; 147750469; 883983746; 192417321; 936183015; 11332920; 28937026; 693371680; 601090828; 402763235; 898777848; 684218087; 690945025; 388328106; 304745881; 397624675; 708178649; 605686869; 347476267; 484342668; 978417341; 528680368; 704858603; 522803587; 136861028; 730925771; 716977407; 76859242; 568984343; 627528035; 779719917; 552287963; 316881380; 484533248; 695388307; 15555302; 75815421; 574623617; 551325561; 972589086; 977844304; 25512381; 147963675; 923101860; 747928698; 705434625; 370967243; 898776319; 804662616; 700012273; 321113482; 852435323; 42187589; 587657442; 98826793; 187060080; 269988812; 757757403; 580311009; 807746399; 832861236; 261299811; 792987561; 42523733; 442610343; 718900971; 205956243; 780676092; 592626476; 901578338; 81027554; 229121281; 709418994; 294482880; 891996880; 934482797; 253326983; 742269569; 935594561; 449788631; 619243419; 386424343; 905028144; 663230087; 411489300; 235136044; 175447041; 167352602; 402406855; 641401496; 110266506; 868237777; 374380092; 609676764; 16283023; 478016800; 921309087; 437653234; 102385095; 646522994; 807326463; 175007533; 400573507; 765957392; 304191435; 994055551; 843678837; 863148167; 595238244; 678189361; 442405521; 309937718; 733779000; 998566826; 325443154; 290546274; 351800101; 774087390; 56701840; 766005310; 502122825; 684003871; 167925794; 997462584; 862319921; 643190097; 184650864; 348852682; 722358725; 508969533; 371306782; 251176314; 199747211; 275778056; 995751734; 469096559; 550476241; 772986259; 437769121; 812866103; 987221926; 341575321; 200961005; 604948205; 991841651; 410016107; 522037193; 622921020; 82691733; 448218973; 568154646; 535655485; 201477910; 747352525; 779012135; 374544306; 563601984; 434265525; 61735689; 789458835; 523423607; 781895212; 222630957; 256890085; 693710608; 746943260; 458450606; 7104475; 223817220; 107805963; 663199247; 525689509; 524976494; 147877708; 92465077; 958207131; 393249732; 1416629; 496214417; 181177504; 96556729; 290552216; 842370233; 863478147; 681904269; 601108165; 431562171; 5519117; 592419675; 989890395; 736617772; 867877959; 151241851; 986289192; 266826784; 36148395; 814250670; 394756585; 53449818; 995138249; 618338735; 331304244; 637390763; 936952671; 552271467; 640116009; 578693986; 227923536; 142161513; 689612688; 738676446; 696024487; 447792995; 713990924; 13806438; 60601670; 131680549; 223164240; 25713940; 323676213; 300541350; 444171989; 494685123; 190483332; 819539286; 238252572; 168689891; 880459830; 689372635; 404625365; 812368825; 979117506; 811758124; 859398688; 164365070; 389861928; 853784875; 796898239; 854579830; 533509371; 456362017; 800713813; 331839411; 717719030; 56558840; 285863843; 553731565; 979004904; 714457462; 930877526; 833378744; 495505889; 865653138; 13272610; 678854548; 347364705; 877424009; 931050427; 275661990; 690047182; 88106953; 526194343; 488936811; 797805947; 591411026; 597965948; 648950541; 556979462; 308919992; 888412384; 127708888; 637125954; 911822154; 539639875; 760589400; 458357677; 109462271; 844068139; 86866776; 54297612; 254075278; 792078178; 187023532; 958403505; 351265885; 960887716; 961815383; 827337247; 141684456; 753876605; 873585888; 166388053; 259077160; 512185560; 11938638; 736254029; 166133128; 629868718; 530102940; 689153635; 477002487; 42891996; 302446143; 982272744; 911772595; 154075448; 750827690; 212396365; 159775328; 2454068; 763020428; 932007298; 78372699; 728232895; 279123736; 576813421; 901226220; 11602560; 512406807; 147213231; 618859702; 365823558; 477212684; 732737821; 80762275; 906569449; 344181378; 573390529; 132904059; 279450880; 384399566; 718554319; 827078868; 227304824; 177132710; 463588734; 979713829; 340157849; 535558255; 150486664; 164984455; 3395298; 475568885; 248306231; 59663944; 409138700; 565697696; 769965577; 178065708; 955870692; 27894942; 366476731; 225976070; 398774301; 193838285; 791528162; 148150573; 446256430; 984457232; 932654496; 533957739; 38137750; 978182351; 307734322; 531510193; 250746182; 412707717; 608671965; 124638047; 322631625; 954539539; 934262650; 49399905; 911185361; 262920749; 433948174; 593038688; 878188370; 819385227; 496279929; 359820546; 956546224; 494126741; 447190903; 599079182; 412883483; 891914623; 401769107; 411010004; 927006123; 995286956; 41378645; 885476137; 371163054; 428991785; 412057863; 416892742; 350767077; 322638787; 528087127; 581143976; 126877073; 609473480; 774999714; 895623269; 480397105; 990217787; 497563909; 72813886; 595902425; 99262034; 229456039; 589384461; 359464137; 548842164; 610136547; 485848908; 495762370; 783721993; 353923822; 853329517; 637203351; 757279653; 515175643; 39500963; 252765689; 247350251; 774243607; 453635659; 173558481; 906611118; 189779266; 244170175; 903438997; 665468415; 309708433; 299764295; 230902444; 646284372; 489346961; 617541621; 32218204; 253759425; 831664282; 944727796; 644135637; 508241705; 881108255; 784520693; 829934582; 461295661; 719486209; 207580084; 941352409; 40192920; 197720789; 530166516; 494339006; 640347142; 990099578; 140045112; 523119355; 882074266; 506004997; 530755404; 637303647; 431269197; 16598680; 927604905; 682114665; 684548890; 926455738; 940778855; 239174570; 518140533; 110526819; 608095728; 926108359; 892804989; 301022839; 393718292; 504625674; 394841498; 725708767; 39236550; 662165057; 574098391; 55533945; 819736167; 90749025; 126787050; 850189677; 637793204; 709608182; 514868605; 562571109; 25876680; 607987635; 76489297; 457297535; 65507381; 588688177; 927502450; 763370785; 378627173; 347453029; 322506925; 441033073; 548601236; 526159561; 329875814; 938441351; 321443306; 233384475; 680473255; 282117650; 648589980; 377834744; 116910022; 736926184; 310767695; 344876368; 692028004; 344807812; 144090870; 68316903; 439710770; 222486070; 683772093; 956263338; 205514668; 611553088; 815443796; 69769466; 95334349; 826946166; 402123977; 433392333; 826788194; 208666973; 302093695; 119456512; 585697877; 762095028; 958474411; 299167241; 440572058; 441693526; 544396024; 736891231; 405601517; 768857615; 906804296; 561898145; 968569469; 71735971; 871192656; 900316907; 129354411; 290044413; 919114788; 409569160; 832488277; 16243068; 870135071; 945656804; 443763010; 622090129; 885133162; 930184758; 466711; 742178924; 355155311; 981792982; 203993215; 807962310; 982185226; 472029684; 177130366; 17828862; 686898275; 22466159; 580023089; 705824912; 604649964; 496165221; 864735406; 373851675; 696419278; 766993306; 66346755; 294675703; 939295418; 111054455; 870326716; 196252823; 591255213; 911884301; 209579714; 758549827; 410116458; 578643507; 631413008; 752897696; 525041382; 311783514; 78719976; 29350015; 247413324; 157105505; 121616058; 464340979; 770574921; 591538945; 779853362; 140552962; 647114194; 10421307; 771830956; 734580848; 869955683; 718577726; 970920367; 908017909; 749244531; 254787565; 785516483; 869782000; 217876858; 342768248; 514884430; 793006076; 349806180; 336142619; 100809288; 169429397; 941934662; 772810071; 278016435; 48508429; 987073751; 217875297; 879511970; 422462708; 617043315; 287179242; 395521836; 151002220; 509117733; 595360406; 891204632; 41332295; 143704431; 318650746; 670619632; 512410046; 23094248; 255890922; 746638491; 126033062; 123476126; 470641294; 886013843; 567137330; 955507903; 834985735; 716191832; 258902626; 262626217; 832010979; 2243511; 425695040; 531378565; 619782389; 499607317; 712012246; 6083263; 456339794; 376891969; 458783146; 952470455; 637477413; 173703427; 846812698; 983142625; 298677959; 326967322; 560559166; 910326899; 269783537; 385704149; 514451987; 445657780; 804842105; 287336949; 557184562; 117202039; 219885529; 876671859; 927638357; 500194095; 953219677; 311369633; 574091713; 424756849; 60015699; 354602625; 157943821; 835463238; 845915027; 589796262; 885248359; 484772018; 648467139; 911607773; 985624496; 973197112; 202428315; 47191163; 446307586; 103648117; 244225272; 327188093; 940213128; 207856177; 439088688; 359491807; 349788261; 404188362; 63136545; 725989994; 179774270; 509771938; 40134806; 494219249; 310076701; 79312892; 65472975; 394785235; 263099987; 380753797; 949353994; 226640830; 353834267; 578730885; 537234713; 311719879; 766100114; 934917255; 801422628; 434959512; 510140040; 406378751; 212315157; 799560904; 158878528; 834230824; 230160649; 241769388; 73316638; 766603725; 786418430; 353704448; 769490225; 630468773; 633982785; 80462235; 786080045; 148061142; 469151977; 528065927; 919048103; 993220721; 705409904; 25424922; 484307474; 492176822; 654525856; 789200723; 962965634; 130178825; 800327576; 149925717; 699186976; 892097540; 439412832; 797746613; 879489285; 585470132; 918919896; 738735928; 923944408; 434784039; 683120483; 93223567; 341919486; 908513717; 539087832; 432531058; 203463530; 696928876; 872457813; 252267263; 226741558; 792938348; 782079425; 930681637; 569590536; 766718512; 408696446; 728896059; 760291611; 751033792; 653554795; 937503895; 943682897; 548615151; 8161960; 299476511; 385534485; 168535803; 647506572; 511596008; 348491599; 821892188; 726886062; 383588626; 94104561; 379204550; 117715106; 139105367; 139815299; 165417065; 203487044; 427050382; 551214159; 934504095; 477663389; 137088323; 808507148; 201789123; 922282096; 955132108; 131387865; 911228877; 987295584; 970795525; 321315947; 185839181; 570665485; 579391667; 880808035; 30772090; 565511630; 71097709; 937361049; 380889508; 948726556; 378113336; 203372853; 606196502; 87766627; 64136744; 196188220; 485219513; 700721100; 303916775; 696140630; 967877745; 217885803; 385590897; 513324838; 611595940; 130580879; 126141384; 499038665; 458887552; 105498389; 441273910; 134046216; 512450893; 80369351; 792783164; 715879914; 75521062; 326721187; 499063091; 124693215; 851711996; 963516869; 940833866; 491500035; 115114267; 230355297; 937708978; 860098413; 181922021; 329624157; 632145055; 405574781; 797822689; 752356710; 676540973; 583070551; 471639363; 443628730; 108228476; 819138652; 541983001; 276561980; 975646534; 869281045; 647898888; 118315254; 434633540; 956678955; 411373781; 316361169; 721490592; 322543870; 281046231; 238758013; 669165787; 386312352; 72560714; 384631017; 893959998; 579854331; 391944918; 161713961; 491574239; 696922674; 990379479; 149588845; 986174012; 939732259; 771834147; 867839118; 92351103; 228590315; 382761487; 825840454; 39352643; 550989740; 990378550; 377911617; 752798451; 772227676; 451378239; 297164816; 67622849; 609524845; 415189570; 208241046; 784407103; 824264036; 13567336; 725632326; 54096151; 77454895; 562116074; 987609844; 769772137; 593206631; 677261571; 285000032; 289113020; 213168630; 926697366; 478963405; 554278309; 972438228; 909545874; 749730988; 834953916; 772076699; 725239817; 155001124; 913515988; 666212821; 438541015; 408742736; 510973239; 119066774; 281834944; 463685691; 450937321; 912950319; 123280972; 152821959; 143131780; 595876603; 219394490; 505525527; 869529552; 370429676; 417010059; 181223564; 454097834; 1181749; 967831348; 299064078; 38439121; 534561185; 865786626; 905674030; 705801195; 260743792; 994046133; 388358173; 639900453; 302810817; 309338067; 38988431; 674812505; 624474421; 922386360; 750052311; 15562223; 811706703; 624150078; 6115738; 391143290; 357787557; 101226270; 838025427; 923931389; 92540601; 774770168; 110825807; 488008137; 165271745; 906730972; 9238196; 214978712; 829021670; 306669454; 149167712; 669643844; 648623177; 854517409; 421717093; 781070531; 197009935; 549914256; 11987666; 486044954; 901495355; 251055863; 478287395; 495995906; 463305126; 436519556; 662093244; 356916088; 708797580; 821620351; 309954370; 531420873; 189861386; 319664354; 796101118; 483340852; 817270347; 825615275; 115429373; 871717873; 855487446; 749806563; 98347125; 210058968; 329545457; 670584145; 650318783; 518786085; 464411460; 534342896; 301506788; 993386215; 895219634; 84381763; 208451709; 515987326; 951793858; 11335603; 94159693; 98254455; 84905815; 368425864; 146356705; 961492254; 747722821; 932227101; 663571805; 450105334; 438076064; 735959965; 117615025; 24489988; 571262081; 519336046; 59361850; 390613000; 1882910; 531036792; 910728780; 377376450; 298670006; 497794573; 620983738; 850715160; 904396158; 755570221; 393623193; 868995967; 529858885; 852812428; 386871762; 97703564; 760193160; 205238011; 115360648; 563739870; 238072139; 956372970; 988591018; 632658759; 113544152; 547499427; 729533811; 567636600; 849957232; 937776494; 95767261; 235447577; 235029629; 704702000; 386484507; 428473261; 662775624; 29834023; 268937877; 801618494; 69172468; 450968574; 323470116; 620162726; 59844916; 327052908; 764103716; 553941549; 958484253; 641627640; 771587749; 836160167; 289347122; 168572211; 662518555; 413495957; 780421041; 69764052; 915578129; 102823551; 854438510; 169788843; 772591873; 870666093; 244608096; 855293798; 585981856; 551280641; 559699405; 284735532; 71348811; 938890047; 59610354; 995283704; 213064249; 789846436; 667879716; 322579280; 148477665; 791286309; 328376461; 244108001; 577550604; 71214374; 671116710; 851399771; 705750601; 800687485; 668855105; 702645315; 138316801; 337231539; 421765087; 2646965; 466127102; 865766472; 413132512; 467514450; 980391176; 32951064; 999690893; 351170161; 900857721; 310629013; 369769597; 811476399; 474488413; 190045893; 165994452; 394221448; 734846438; 606223571; 965171840; 243003599; 744401306; 743309790; 36021116; 12376056; 789073097; 440579836; 292925184; 616124534; 482362576; 895383694; 163727754; 475407563; 167443215; 921867217; 344656468; 792203553; 645296896; 576087708; 258869879; 381305555; 174753973; 861298413; 487219948; 525196678; 319099227; 459745584; 925563481; 729275968; 301549343; 42119433; 262266842; 978288127; 604755331; 44824632; 844347615; 245995816; 734213416; 295634549; 12317067; 168752699; 571210850; 929657084; 195630989; 158367730; 209109355; 791508975; 51235395; 893950232; 41403402; 516294371; 203219039; 207812843; 824677895; 588477071; 203873569; 92265080; 623564722; 325934241; 96204788; 846632356; 501045910; 866849521; 984006070; 210429927; 637032033; 897755540; 638545880; 120479326; 910282864; 757220955; 534625523; 82641645; 467341011; 15953981; 485647513; 288885392; 175412920; 118831417; 794981793; 81937699; 200862613; 607095656; 879536634; 449834129; 196910421; 759714087; 692602850; 120293748; 998796535; 765092879; 806127028; 124172324; 643891881; 766010945; 954796874; 880542032; 968816307; 837175636; 480060400; 749823254; 370337457; 795188430; 296426896; 929407547; 502992878; 437575596; 850757535; 899880190; 955755502; 424555596; 397724397; 928279214; 603840476; 844244327; 297637745; 401684784; 796258063; 851678668; 347395064; 91991574; 304908571; 294739154; 461067860; 135740600; 934493969; 341665493; 899843762; 296580617; 824063128; 50782262; 859738396; 473042784; 666916276; 100245787; 950414982; 4092375; 174727576; 226392212; 544121758; 44354562; 137031002; 518339167; 864063091; 664252964; 318517040; 524110696; 8787475; 232454851; 262039474; 803053371; 653792635; 108751301; 974759855; 905176849; 529953256; 26185480; 392195875; 914356270; 570892803; 499674755; 45773589; 429664955; 822121439; 319180634; 814454434; 852709549; 554979276; 724364565; 682684317; 206510099; 418666622; 139782935; 350168529; 237394471; 603520948; 124282610; 954285566; 716714831; 341893687; 281511538; 12528208; 31926458; 480664414; 793832377; 29554841; 508959902; 877751144; 115195923; 824580311; 684744586; 519928947; 356064126; 484051551; 526657871; 27499180; 656726752; 253869247; 681392072; 459581044; 78738415; 395149943; 438036986; 630066787; 13134695; 746779719; 916562541; 320200905; 676532176; 467701427; 801481432; 378352200; 125429972; 190782146; 45635975; 223317835; 598339365; 291280067; 912641901; 126299475; 777672938; 204888762; 634906639; 549850831; 731441209; 553241933; 576897442; 987044998; 718961844; 530579231; 183461319; 83610601; 137506922; 88532257; 481184701; 283821935; 915754583; 190244087; 894264950; 748945263; 475021282; 790461523; 913113197; 654124903; 340593951; 402539229; 313040498; 535192699; 390685668; 27799661; 935318347; 933281378; 374072993; 379253978; 974143790; 741014146; 72163582; 229669448; 491059726; 352412470; 389600213; 477460057; 916656810; 493084728; 924702382; 175982552; 52367001; 167667492; 618364111; 420749467; 988024247; 802619293; 275172221; 783309874; 55318712; 323717712; 271365470; 719253837; 772781559; 121676494; 100473970; 880864722; 221641192; 598618497; 93070061; 33904378; 177136413; 744364125; 914045872; 407847825; 651368825; 497748379; 183677015; 788634188; 784812891; 292271179; 922010028; 810681286; 70078394; 909947089; 672266344; 39780096; 866201642; 191872071; 204829346; 740155838; 535930014; 958829419; 316446390; 130987448; 956066885; 542295779; 434318264; 633945380; 258570927; 871891127; 842409765; 254828335; 94208419; 143724127; 829416949; 634725165; 208721346; 618603362; 420499068; 499282937; 731289124; 716903206; 689187129; 976908526; 862069307; 154110741; 195576477; 982338926; 813901982; 35031278; 967325884; 421083267; 832412096; 916169084; 516776429; 831598131; 506607552; 920820602; 759890431; 240492130; 709221415; 286713113; 992765900; 57149169; 741392988; 532151844; 739533404; 285416044; 81191760; 358147503; 326815707; 596426085; 934597597; 298511004; 882115345; 331069788; 116497791; 700101820; 126112762; 21948647; 234419168; 563602777; 575544149; 795346528; 716860266; 208500031; 426250219; 547249506; 395761876; 890354947; 427805237; 616758761; 212696523; 834249622; 791387973; 767421384; 33681131; 298249851; 98350460; 954739937; 348736210; 80558600; 830015574; 141566338; 252660872; 937189240; 11972519; 214515822; 409096220; 954469167; 382519659; 189423731; 703031976; 673019079; 497667946; 282504480; 756198246; 81533378; 200430547; 35093750; 949358692; 794644479; 581871045; 349947208; 784345353; 233015891; 620509882; 654290489; 438383717; 478927941; 91672018; 873084850; 991058414; 88513012; 728726526; 395424153; 925772615; 264460985; 894018905; 485779829; 356332947; 464679936; 677167413; 779523679; 552356164; 774324890; 491145847; 28419849; 967343731; 661187189; 130822180; 14645912; 235832443; 926042841; 871146159; 64539097; 121070718; 307437128; 208854038; 866186858; 775828942; 893993800; 394478828; 469840309; 372445458; 767819887; 452865714; 680802885; 400285326; 76024698; 608956887; 587469953; 13247872; 982282517; 983734957; 959937356; 254298331; 466956040; 656719220; 370657337; 256910500; 621508263; 261565545; 148487563; 671413117; 492784137; 780559249; 384897808; 980642223; 517318877; 859879223; 513656151; 84484185; 922555262; 38415864; 488064893; 369431357; 918375036; 906046057; 9623338; 70787840; 441804268; 474814718; 564203404; 481536431; 802008691; 817296096; 77312750; 776312237; 156914598; 860996657; 350283304; 776316228; 7655797; 421666164; 100458098; 382193582; 379257817; 916944601; 939469887; 1456959; 119123651; 296189398; 786375803; 124278456; 301272588; 284300563; 947044541; 909214766; 710653000; 876929944; 968437527; 458133016; 482556048; 695317157; 757716019; 403294629; 961274438; 742062222; 790127838; 620844609; 614866891; 238126020; 587621429; 174144108; 329949078; 358775485; 541210370; 85799900; 852338545; 688247797; 528885461; 51880910; 617169584; 401802161; 679174488; 919579318; 327408394; 294351542; 935953278; 554517614; 3813015; 220109298; 579319674; 924250750; 428175801; 469953502; 125896854; 377203211; 959541160; 248660627; 559664518; 354945015; 667780890; 860783144; 925979438; 32481023; 798663899; 475734421; 898680391; 721184810; 264528225; 153634558; 614986965; 254999663; 172316691; 211186893; 73611667; 62267308; 820204129; 254333912; 880100249; 448387919; 434117050; 81258799; 711611279; 459349219; 954628587; 160490335; 817234550; 467485646; 581825213; 551025178; 540974055; 682032438; 899158827; 755793616; 56947907; 490977998; 589352142; 299663254; 933928423; 519398543; 838064025; 615036894; 451161817; 121718389; 356481805; 453614193; 954490169; 845525137; 81616210; 58124660; 513054042; 297972839; 299779068; 643857739; 282552838; 776361796; 262089286; 712556832; 488584687; 298047869; 676764184; 401662106; 329616553; 916303764; 976502236; 701256985; 717338088; 249129581; 696611448; 490725341; 311128419; 249205775; 421180069; 239697444; 802122072; 170438607; 437608300; 648887091; 675608063; 87109158; 583422149; 826314663; 50990538; 704081742; 714074289; 544490936; 466984224; 964059456; 421784996; 801767291; 930252818; 904618401; 533444808; 946778842; 561824464; 288633719; 222152600; 77625470; 472609652; 703507670; 220379304; 751955985; 856253845; 278290546; 329189524; 738359131; 574769868; 711170443; 851031980; 622968494; 107060124; 428321183; 383008988; 108046963; 155702247; 346796923; 425477307; 289183252; 83858516; 693108327; 338049480; 291354759; 926840637; 264331806; 247638840; 709693510; 61528290; 540471482; 600411176; 496214446; 471631529; 150618031; 26146757; 395433089; 30488383; 538040980; 188490583; 172917232; 492363139; 969414849; 877376098; 805622788; 857786302; 693553811; 454721266; 380823919; 936864664; 521417436; 817099431; 83994308; 794037729; 410387509; 415538000; 547169065; 174922433; 308760987; 800584536; 715484788; 92396494; 510453197; 466914542; 380202382; 232627891; 904021216; 392914645; 459194483; 221619536; 738861080; 465484182; 112619407; 932177943; 322219343; 996493891; 149029047; 168094788; 498564786; 387572621; 348032105; 716689041; 891765006; 785176825; 401745993; 467791237; 389426836; 669393483; 228682381; 869831738; 383777623; 516564436; 836264603; 490911319; 231280676; 532242812; 842891114; 485420862; 131845466; 752412750; 787614024; 428879296; 36724281; 650798023; 565148490; 430779543; 879868241; 705929309; 91315619; 849945863; 751934185; 887813480; 716265258; 369891931; 628224108; 731981161; 833257395; 668049480; 225286335; 229852277; 504159134; 872686830; 179997452; 512157155; 571303088; 336312895; 85488452; 62761163; 224651052; 993663680; 333462247; 134513630; 420070810; 155252560; 795545157; 657606076; 13213511; 587164424; 33672720; 42869946; 844791388; 38393002; 758911534; 445172099; 598565563; 2912290; 130478161; 765412407; 414574653; 919217810; 282853719; 400330435; 173444888; 871645025; 412502995; 153207118; 820402527; 115405257; 516951070; 40576533; 935044768; 992924440; 955570919; 659635194; 11849008; 644524476; 840479909; 6038268; 284219341; 365659998; 723999039; 623435260; 934051275; 754260566; 458048291; 872221568; 182691824; 31215432; 360710029; 413634254; 438969385; 304214637; 715802403; 882881991; 820453463; 913410412; 25350690; 290064757; 132713376; 665986753; 191175479; 990421936; 231946319; 690709282; 929079010; 238473147; 750528983; 491678603; 704267208; 996904975; 624685370; 773727037; 633674410; 127670947; 865994857; 935354569; 704544619; 748902320; 725017617; 469305965; 464871577; 245007341; 456000749; 243921110; 832487779; 731858314; 157581905; 806086790; 838756906; 792625209; 77400904; 619123997; 813340287; 95319352; 423960519; 375501275; 443182424; 561434924; 34228522; 257918834; 892553726; 817853411; 96708423; 838041044; 11698767; 934554488; 845650563; 477869568; 89180757; 838104911; 244158958; 378168357; 235354327; 975840491; 678283851; 206827798; 988189475; 913256752; 950552157; 520446674; 989827337; 941804601; 501162187; 68123887; 237274303; 792495263; 986644018; 137296193; 528772966; 901320430; 533795718; 590523934; 989135365; 184630240; 437351466; 717270996; 174770060; 387816217; 349942231; 398305247; 532968406; 610687026; 988686182; 413560228; 71210722; 561118314; 662974704; 307321905; 127311873; 140973770; 566134130; 101371515; 416511692; 972201311; 760524353; 648808917; 693308196; 942424426; 72478408; 21123753; 782686820; 775560363; 248722352; 698222891; 531064041; 833843459; 202432608; 686646068; 313352558; 631312360; 574710914; 882969952; 994842893; 282199936; 106172520; 827980900; 327820874; 19967781; 36264527; 623691481; 102581101; 453289507; 531463907; 722169713; 154937370; 505638202; 525560503; 533273062; 499216283; 143071770; 217654972; 789947860; 682664276; 792103564; 156381789; 287876115; 128017152; 595747923; 959554130; 640312418; 22652120; 976513617; 202121655; 601614498; 523061688; 165711862; 817224478; 638062292; 572229812; 71015846; 423876174; 457143249; 69109302; 483064632; 595054183; 697776098; 119447587; 104386391; 748328572; 817124090; 728328891; 946005106; 137125041; 689700710; 96364325; 839161084; 926896205; 822147869; 651577009; 161074377; 802827379; 319706037; 677389112; 155934601; 667593075; 714446594; 974735563; 713450743; 33303116; 241794912; 448556485; 784530550; 897586863; 821151668; 272129833; 447172912; 191216054; 126651671; 542743614; 211815963; 501183846; 738017866; 19604937; 502514391; 746671154; 846293207; 539573967; 786709481; 98031283; 775710818; 532147472; 189007013; 386004597; 674890311; 786576701; 429484566; 618747493; 360440275; 788818393; 909359296; 469307787; 949418679; 523870989; 656431972; 193267204; 433055332; 125313434; 802587301; 105013075; 589864472; 472322030; 432673156; 156259501; 634376262; 660464319; 109407525; 832055637; 255585342; 469849644; 781099796; 528831612; 457794331; 839365918; 501586252; 561739809; 79268546; 855962619; 352092882; 63647910; 476122092; 649642751; 228185366; 556211326; 219461134; 443882777; 293768986; 148695762; 282404945; 309226261; 265109181; 695232709; 365950269; 338719101; 84039131; 755988250; 335007221; 210668458; 411433759; 213092967; 538455438; 450814803; 341712855; 980587780; 907889067; 796923249; 485558346; 35227835; 615755893; 118302509; 226354367; 186213897; 394030218; 945229255; 797256189; 654550956; 913907289; 375358587; 825723506; 704092284; 474967210; 768909475; 326029759; 446157367; 871240791; 864489768; 34315278; 180211163; 918567848; 929989364; 456240139; 56316971; 811948329; 369246725; 121365874; 85278137; 634778135; 760374233; 968129975; 544781188; 768215872; 429796919; 927263012; 55203057; 417783040; 509828398; 293092707; 342517288; 500929136; 226332345; 170784419; 643826980; 654571103; 187786923; 275543438; 169791197; 636884170; 289063239; 492547118; 899220922; 304368987; 675622977; 58799988; 188126619; 819367499; 59734258; 115014796; 82858165; 826332855; 85751819; 724009120; 420881320; 564321918; 808140645; 556952431; 239171047; 259770322; 833465155; 633253778; 336030241; 662320109; 3221065; 475042185; 78047300; 870487772; 261710372; 639332353; 919745737; 35408777; 248590095; 549833040; 74786908; 290009215; 598063670; 877208762; 967065226; 575992209; 920274723; 879041701; 952030226; 460772433; 337498185; 457083644; 411888885; 382780817; 961889391; 987974374; 315631010; 489353618; 226883540; 366820470; 846699493; 642847099; 873902104; 471123748; 632159616; 183152407; 909924598; 544166251; 451529708; 194192174; 286731241; 854787588; 539141794; 300938201; 31963038; 700969263; 273356705; 293498539; 273914358; 722435061; 160677926; 481355490; 141771775; 768025700; 954559339; 953271571; 545713471; 828589433; 6224530; 795811226; 107174785; 897200947; 972007356; 208212359; 595229114; 34492761; 363504929; 610150362; 451152663; 409452973; 776079673; 372473959; 463090321; 398836389; 470996050; 832524921; 65450700; 168283684; 996195462; 452298840; 688156795; 32709952; 24748517; 21167942; 204081425; 679429093; 26442891; 287214782; 217680231; 873016386; 279283408; 322390232; 217045560; 722924468; 293345836; 18754427; 635567199; 789908590; 782755273; 704373123; 267156844; 131929445; 165768890; 435870174; 258738243; 570830007; 257339383; 690383364; 735971309; 668440972; 115816649; 681397934; 366206109; 106801578; 623445333; 925702482; 293328393; 506745495; 491209677; 661396433; 805858221; 729411752; 18102240; 935667426; 930089544; 100030624; 848038920; 214269147; 856730420; 860330251; 822816903; 774399033; 357633447; 63030740; 336198404; 360077845; 770230567; 13039615; 584108228; 62528494; 806993130; 535125131; 201864745; 38437338; 618320769; 628108504; 993652285; 935228346; 526559135; 99911100; 25379427; 787792215; 485008731; 536503010; 928083612; 913027844; 450946625; 562601385; 139859049; 421654676; 664766461; 671932705; 749479525; 375369202; 247437255; 101119732; 684784913; 69723127; 251759726; 819661666; 25611483; 6425277; 146668902; 169987185; 879309793; 766220456; 403014922; 437003965; 122281100; 383775935; 989356566; 386255518; 276418438; 240985552; 381363670; 188596075; 163327758; 215243089; 85191265; 555625466; 91586927; 208523340; 367563964; 331606848; 472530939; 255008366; 105595008; 240642142; 601947775; 344202156; 488390593; 97868832; 88884102; 708409400; 68344890; 206635038; 466156389; 290142786; 507351260; 162567873; 233905652; 949181437; 292311991; 92887598; 565145825; 12328234; 471378983; 84903853; 990035095; 636671971; 147700491; 863951859; 44683069; 291797555; 735061603; 682305062; 198529138; 437791035; 879637384; 100275225; 835116828; 610521686; 337051893; 389319237; 216905148; 331348139; 593625243; 919748745; 153423372; 578473788; 969188920; 886294877; 679575806; 770288304; 922166788; 676176483; 605366466; 141650162; 890687550; 643980768; 249934161; 909458790; 848329724; 302426453; 716733627; 770910080; 790052318; 281435357; 110130871; 512922063; 418277726; 420074603; 885280993; 385211309; 880250525; 973086495; 529635586; 997478945; 985474178; 50937041; 441522811; 741858179; 900589521; 163984401; 520926539; 224450969; 184923152; 383431046; 144351781; 175424179; 824025172; 873700944; 943923068; 164413477; 595684285; 411361477; 409371678; 731516776; 325409897; 173863195; 889011852; 106974074; 588575108; 306246991; 525876069; 100854231; 865998021; 421694468; 589486682; 387925890; 176933632; 381882656; 333800495; 99150795; 754470068; 521862367; 853583017; 629335097; 837262794; 493695246; 168826152; 552747557; 842333923; 10955555; 621977875; 709090405; 812325633; 509950986; 539596555; 689518276; 272658047; 116421634; 629130018; 814621969; 359751612; 962766136; 508103972; 166715451; 165304653; 680508795; 341284460; 664059955; 247574615; 519948762; 42610492; 171646825; 318794210; 795663572; 830139986; 634507675; 30772993; 513979756; 362477108; 44486925; 362339998; 975333700; 946101820; 450727207; 55890732; 28136320; 793818162; 455903476; 832442513; 411216333; 907624076; 977247839; 429522831; 877326859; 900520428; 992814663; 901045807; 733442889; 388514927; 599951793; 99558161; 629085561; 334285094; 41746752; 714099738; 361175720; 729138963; 342056075; 340260008; 853589513; 673133949; 448927161; 286331285; 791175573; 475120250; 586255968; 46459802; 187327216; 855747942; 548527795; 914317231; 136901869; 574108659; 307230967; 668948977; 317611480; 478763334; 466576070; 140358558; 678890764; 124005773; 339978604; 698457441; 981535144; 538903071; 439511035; 321941716; 207975530; 974780566; 949014583; 420904868; 360699473; 203865863; 181619968; 741724082; 151397980; 589495564; 420196724; 896655233; 37788940; 853423696; 400139342; 662358314; 344501703; 19313051; 908146088; 986763147; 907157195; 794508093; 987440237; 510750177; 227968038; 54451587; 383318704; 613424395; 356868083; 798312418; 217649715; 779214564; 180715888; 459948563; 98537255; 764559883; 244937243; 796207990; 877694465; 187680411; 86185946; 170708209; 106400297; 101758267; 780558654; 913987233; 623074015; 414695701; 274205155; 197937537; 478892300; 423593465; 741023439; 35376771; 595887615; 143377168; 627031506; 184663262; 344750727; 804285417; 973688333; 938187000; 143472812; 681075681; 176513811; 788821931; 430369487; 624488808; 449340649; 133442947; 120026367; 307409569; 15110808; 688104549; 620418540; 761310263; 324298562; 686010141; 587893031; 502399959; 827160100; 307539677; 344293292; 201063374; 86265720; 447278288; 667219218; 506586523; 581006289; 830610785; 363199539; 715011865; 355172051; 452901719; 845500332; 572349524; 233227249; 682981442; 101141797; 945585859; 759142260; 655460380; 646237978; 62014568; 542381864; 816885872; 82784420; 466213137; 407664543; 443173258; 963829475; 446854388; 944188137; 106711900; 781834988; 918145673; 842727398; 274422539; 152236406; 636243817; 124069009; 778908769; 851862522; 89514304; 504283870; 874401198; 249398585; 257973735; 881269862; 275009826; 235365588; 473670551; 30258159; 900004235; 690219360; 78287025; 916797612; 949398119; 986664378; 728627648; 188340392; 871103667; 540433963; 135888178; 968959608; 878793292; 697413502; 540662034; 120289793; 540027563; 310974804; 397773155; 758656092; 217452232; 359468994; 348696161; 242091041; 905123879; 545672593; 172430543; 398292631; 164015806; 328592482; 268815388; 469593578; 535993821; 18522775; 344783021; 722899591; 435025296; 164428945; 111029304; 611953709; 94222603; 928623888; 502628146; 541866638; 286471401; 112402837; 785896075; 180622259; 62911176; 459059139; 835737105; 630844898; 51865029; 167251013; 44729274; 637725417; 968448954; 490538625; 377479662; 781038494; 25660107; 283004427; 623705473; 44680414; 19777321; 890788622; 193709645; 272351792; 733545626; 629116475; 451374011; 599165764; 352664940; 62494127; 930521695; 434708175; 954662089; 713479269; 849848140; 413673108; 997639905; 38770391; 514070377; 559166306; 476575434; 129562129; 58433978; 747688928; 85247345; 516878220; 518268079; 454947910; 585023987; 185304275; 871149539; 994207687; 403923540; 137079792; 895505113; 531882398; 9154681; 371804183; 156694144; 762712051; 790784483; 200047014; 562603146; 39402117; 553598117; 853287858; 614680911; 929000063; 912196946; 659326934; 872596300; 108750028; 418661395; 791426798; 665665313; 38313888; 180332208; 878741756; 8118643; 530861006; 209450104; 621078342; 759178890; 294005767; 957703505; 381343304; 749198901; 535831500; 96513052; 865495569; 478889577; 826231665; 190883805; 81186632; 247807638; 468427089; 540840517; 861421380; 330943646; 957391092; 187501714; 639382606; 234906284; 978408659; 425394184; 8071744; 562127602; 592592867; 787485766; 714933642; 356568226; 7506140; 42403547; 549272538; 383149908; 327074780; 386141803; 144996770; 803134588; 766997687; 945777880; 42674510; 926367014; 373504334; 915599544; 38460597; 446445462; 792467873; 569617903; 38546781; 843922964; 635457246; 742550217; 731018534; 92117555; 673674202; 139653548; 66810205; 282113724; 315774958; 297766918; 858607934; 8504760; 206842332; 526450397; 752276360; 645974487; 99183736; 416974832; 810449471; 616582437; 669812473; 24552842; 98108049; 569386652; 246806476; 374751321; 611979279; 670461003; 703761855; 333650518; 421155558; 829199441; 614530607; 985247950; 241285062; 400761415; 934223657; 839306225; 759161635; 978247007; 770735143; 670969738; 653699922; 16664194; 442566609; 667536906; 476536969; 351853371; 185982584; 839689475; 939927980; 270006536; 132924170; 516273975; 335284117; 214627787; 97662169; 313546430; 314665095; 197551793; 680540718; 573897521; 70344387; 525706098; 827902601; 624036471; 383907933; 364991988; 630890904; 954592846; 453729640; 339496826; 538862767; 944908617; 202139603; 440539376; 467662899; 213082828; 356150121; 695309905; 88091267; 693004209; 641630206; 315622923; 651941461; 638168548; 663022326; 835338642; 699654436; 805325609; 322453894; 864187717; 717884130; 903810129; 523936908; 764116872; 904572820; 739365368; 98670736; 479056072; 568605872; 159933152; 628092432; 964121435; 971690800; 436749224; 26428634; 50718733; 617714589; 77779308; 173058146; 187694340; 904493570; 262091440; 104246361; 32415915; 362890376; 95100880; 563052197; 930563670; 220230810; 383454239; 95494752; 553042284; 883739285; 952981538; 520223399; 252374125; 528567522; 466435947; 514359509; 950061486; 446626983; 7089685; 532575016; 809167840; 75318249; 919363086; 813739209; 896314756; 36823111; 114254456; 915853945; 407758907; 143782043; 793426357; 535363257; 337797094; 454876306; 214434596; 789065420; 670971464; 213638622; 874292602; 702292668; 671688023; 690672453; 840361284; 736295080; 864147838; 501265971; 18956078; 479263395; 208228205; 370710365; 575375738; 162914563; 698072055; 512977843; 16976227; 390690955; 785716542; 1140312; 976035546; 941144837; 168644833; 901269567; 991997187; 210672986; 633230536; 553018208; 510682767; 760250034; 952132588; 377776054; 615384332; 192461022; 412503446; 257333794; 293162977; 541897873; 665777401; 665111888; 671790569; 364144796; 967421168; 512118546; 483785832; 683623789; 843443030; 948189737; 639776275; 63985105; 691713312; 805200323; 386134395; 912739240; 673166364; 110541520; 242270560; 955202082; 436227462; 277625266; 959148158; 586149252; 958576913; 235164190; 224157792; 440243691; 76621364; 12479290; 664815559; 813266023; 694483564; 722444986; 689911403; 708481260; 96192064; 892432256; 196852793; 759960740; 497734439; 122902177; 361185801; 612879452; 237985314; 257119292; 857924927; 116144304; 468818202; 618560287; 406066790; 324294636; 818173397; 408144715; 551973393; 418631114; 282270075; 944706957; 692688623; 177335195; 967050179; 13683178; 289139002; 757153818; 6191609; 316980614; 134070139; 281514265; 463841842; 461764110; 162336797; 160424569; 892466450; 937025911; 271552615; 153192150; 709055503; 992166486; 53676242; 475922941; 334821416; 408172256; 482326707; 510543603; 215409406; 136113689; 276686878; 747258617; 63128999; 513201025; 611357914; 44650280; 546177989; 900930584; 111141125; 241706621; 24069621; 2033949; 670333178; 339387875; 276895464; 219557013; 377886559; 35636058; 138684085; 977759263; 276055927; 83146771; 181466577; 586615151; 508757819; 838960644; 848897799; 987429562; 814816063; 434775108; 486805627; 901642078; 837434682; 568834165; 564085526; 441904833; 574163056; 42795809; 295861173; 65315763; 836939794; 574619030; 836081181; 883614369; 452107193; 216452633; 368084015; 65655811; 77580935; 460980448; 238808856; 125873097; 118861280; 5374756; 420768156; 975306034; 658076922; 698581433; 20305148; 921202839; 417255187; 712371769; 475753926; 607016659; 208957309; 461972270; 890146165; 310669128; 476203270; 848134778; 875165059; 269551972; 527872355; 16944336; 497556689; 338989073; 632217660; 850476997; 617793137; 145872261; 167497040; 507605611; 823572637; 951023632; 93089555; 132862169; 862981744; 433094440; 940735622; 129493824; 208324422; 136659048; 203543412; 466418025; 691690535; 405250325; 298304940; 527772023; 37125900; 149231270; 60986733; 171685200; 180023381; 907899765; 835975113; 223677287; 726731769; 964098419; 609912187; 392356318; 87427754; 101071322; 629025163; 117885245; 590708906; 328847949; 520128908; 404442726; 580388479; 911463296; 922856533; 533179046; 501365064; 353875685; 492155311; 912724262; 548039836; 842602983; 737568717; 318130294; 303274840; 992725316; 843051108; 54034634; 923979487; 705765036; 811910350; 840600724; 384252941; 166685811; 909197781; 99112191; 127799424; 742592856; 968024089; 736939479; 543322669; 48855888; 788295398; 427431347; 677555701; 923504210; 537060550; 523211122; 23985247; 586458655; 457254066; 893372943; 700152132; 739531166; 45904730; 54123127; 916042722; 851586820; 465659068; 651146116; 534482593; 260926820; 61781956; 490872389; 577487034; 690717759; 229966902; 398884109; 195886757; 255929502; 156589692; 554653070; 304979878; 299143461; 351696910; 767854318; 552596379; 184467030; 492612881; 278815150; 305206799; 105331684; 653418189; 425444827; 340857074; 281243931; 17082301; 158856171; 780445885; 211160686; 595998461; 881942570; 475933886; 241079928; 20886539; 719278216; 614395983; 648341394; 105345861; 794616121; 994205952; 627897545; 50714456; 11965472; 635051662; 905677612; 616061332; 685429660; 543742574; 84319467; 843021551; 562636008; 478239558; 680931897; 457088943; 462254530; 515157094; 863729039; 495653364; 571039049; 82166414; 531458589; 574053918; 545711741; 30922289; 584448998; 659040254; 849334987; 65042771; 782094846; 342440402; 884464429; 342285886; 579646744; 573548; 840240468; 483498672; 653327427; 909488454; 281871374; 726238845; 553011301; 40041876; 747339987; 623895369; 839263852; 739124955; 728871220; 162114481; 808463245; 603308853; 953174982; 932393623; 933011718; 733573949; 336238011; 392324076; 42984483; 205887927; 243788112; 920585637; 472842536; 399308536; 193325325; 795694951; 577035047; 31185985; 32271103; 478018371; 46235443; 161188091; 252710958; 471606155; 852988790; 856164213; 261632795; 177719305; 38338399; 402509637; 969367904; 834152735; 66694088; 546490370; 344340916; 229996729; 703345365; 271238189; 277604501; 169508644; 18697593; 589639073; 842795914; 375838048; 488071695; 356906642; 797068447; 872696346; 19640488; 39656132; 524499898; 286562376; 530138833; 529519019; 256246978; 224171753; 982741754; 454414383; 325929538; 673361040; 266768340; 708998031; 144669929; 412628731; 925184897; 145692923; 441679527; 491457425; 821293285; 682553585; 102687487; 746211770; 911746071; 446314495; 457154232; 37660008; 142541984; 745214008; 479041666; 559696863; 649801948; 263553218; 42953594; 737391787; 569498224; 964599086; 197502025; 747794014; 175506564; 903799602; 240075777; 924005182; 617410682; 365958374; 277437243; 618184396; 34732255; 271938477; 423939921; 387219346; 621680439; 580886712; 863603961; 511837627; 215987410; 175649319; 200132118; 161594754; 170496207; 171771615; 348042998; 537227810; 496357969; 488138289; 499987947; 711519082; 464232646; 334479001; 424989750; 839975949; 154638457; 151000242; 213847755; 711292058; 567393877; 965126624; 702781156; 611197870; 567112308; 216116951; 687876461; 186847750; 608520166; 700112587; 112003489; 975948010; 357297650; 747573730; 917270048; 577302003; 597468686; 463023648; 407317915; 581654034; 295641574; 670352699; 673551745; 644542313; 97137504; 105715704; 7693737; 196685331; 503375863; 678269729; 92594379; 188110722; 358741325; 562616795; 469312313; 170455130; 502918511; 895156619; 387657986; 216233607; 133908502; 59238313; 629517666; 513620799; 147090546; 578827177; 526231196; 538818330; 115071375; 857558531; 742149129; 208987557; 238588524; 775588797; 561048920; 334022514; 231341338; 964361740; 932787923; 763845565; 532658257; 809376300; 495047226; 394564424; 849976505; 32697161; 55549731; 958606132; 689295682; 942001834; 671187135; 754144122; 529984238; 924818941; 141537498; 60962682; 828858889; 920549848; 830772301; 804445022; 339107343; 627845244; 317197895; 911362864; 772952749; 543326850; 520732558; 504690170; 492071011; 500099313; 949506150; 716084397; 571456853; 407985680; 899431821; 166646875; 693431229; 53106786; 894538489; 159077133; 293224366; 204198544; 694637751; 1782490; 798981851; 904317996; 877305846; 170337790; 376369792; 300833231; 139668557; 543989833; 644479249; 622258788; 450692951; 201791495; 425666955; 964809189; 526014855; 333061178; 702838638; 627192765; 181541954; 964147496; 893024696; 282837237; 602216867; 453529401; 416565624; 899943478; 974728421; 55784462; 516269; 92364448; 981639016; 373044212; 540319200; 952305647; 523850372; 419411939; 615938190; 200855434; 192274936; 133846781; 669240518; 287422916; 255991470; 675878484; 938831191; 777594139; 332841653; 321480413; 387053759; 169525154; 275165268; 879573694; 758431066; 923311498; 907602165; 97130602; 288693361; 362125318; 927889343; 855880360; 606420109; 421292364; 393121946; 615802713; 187475516; 107457080; 713183189; 865111159; 49985581; 486816259; 628477652; 280906954; 781860409; 364200085; 465442321; 545075984; 543886619; 803333491; 794656290; 641553340; 163638674; 15844931; 582695550; 57792730; 124325857; 180896528; 289595703; 378937261; 526247606; 323766544; 827784888; 885482976; 596474681; 619235220; 206389786; 217080550; 841124191; 392138867; 719742449; 729242435; 558621658; 152686207; 536975793; 277647347; 738104266; 912966635; 225058960; 721867639; 944739152; 54371179; 109774262; 544427514; 748665679; 16676391; 876439945; 238200118; 38086185; 578168449; 887047362; 909454392; 857278239; 171298684; 882094671; 249178401; 727106370; 42281941; 700811582; 70804240; 892137899; 262409521; 314250149; 164516856; 231707145; 403322444; 26578977; 137281825; 710481198; 909342558; 843242938; 241916189; 941928915; 515459071; 296660300; 274893369; 215652305; 517864806; 248196426; 73051430; 387513344; 192709819; 999038705; 444988370; 315056214; 779020211; 574234783; 801549459; 571614345; 203810805; 22067865; 357176261; 51624199; 475314386; 492934588; 312387109; 956069660; 167191543; 814221837; 428181676; 813813641; 692700998; 885146730; 497477584; 771209185; 769672053; 943640467; 422049880; 8166387; 144071157; 712122089; 428134652; 996682950; 610295392; 11449564; 229463642; 298071971; 794035438; 325145849; 934274942; 429581097; 765500374; 447460691; 652062385; 862651925; 66587892; 51366049; 996194151; 829909227; 397870340; 508703487; 383967602; 705202767; 51719691; 849443271; 256734599; 593418845; 358167646; 710844184; 633935131; 821295524; 660473185; 191154226; 705583180; 649952674; 643409099; 547203014; 38597166; 544488564; 504138314; 416271498; 252795865; 312901648; 575774107; 3828794; 424850128; 72997672; 8532913; 435995251; 863730491; 883224721; 95296476; 877631371; 350355084; 994140496; 642757524; 755526044; 973436934; 825138204; 532493786; 854111739; 770310875; 329004771; 131352650; 28032416; 24482178; 697723310; 535289716; 798465988; 967346905; 388813747; 770880011; 490224355; 281919516; 982981851; 244024512; 872097397; 519448605; 128916359; 339114384; 487550442; 638124281; 854674609; 76041989; 781279832; 519218702; 232662812; 388837678; 135439941; 87092666; 767282990; 97651678; 766136790; 987342206; 165716370; 574048967; 173267713; 137638958; 169862899; 598415538; 953703835; 55201691; 437912217; 811661738; 290159340; 71243031; 19811541; 422869858; 158739031; 699551385; 674563661; 872473268; 578339553; 774058843; 822267218; 135691519; 863981553; 570123713; 754411196; 979632395; 658378112; 302960373; 540511194; 23743763; 853054676; 23316229; 85494958; 337371784; 3303379; 380211156; 879633311; 252240431; 198324599; 804349313; 579772152; 933920955; 701666603; 896146672; 742193299; 721317928; 980950804; 942190731; 619435573; 951464379; 683002249; 66397949; 964800454; 255491445; 251481889; 72926474; 401990749; 16147204; 128664366; 968448338; 892994461; 685120593; 888586694; 828615719; 771986912; 699931807; 130223076; 205345656; 486492247; 793068177; 744887115; 23373833; 521609900; 630283475; 239381219; 148945759; 652553768; 384695381; 76410096; 439613585; 116293204; 893097062; 671797526; 559692730; 106118216; 253208749; 840787382; 584324576; 109882531; 744772066; 965821295; 958125497; 639765378; 854252127; 353767454; 71154219; 261001628; 445668931; 471849882; 947075382; 161131719; 911457694; 373776233; 527385614; 890618779; 998729426; 388088769; 616213365; 91827479; 573292220; 320891800; 57214091; 693135527; 642022667; 682907114; 444462650; 271748110; 703625472; 986512877; 141574511; 310019269; 404500548; 491405546; 830657411; 192762859; 473380276; 334468282; 176477825; 616041326; 251692895; 897327486; 475849746; 286184737; 358869759; 916311503; 372214435; 241067600; 420974256; 992024710; 669125802; 887301199; 386324526; 207312838; 689587193; 219795312; 644637052; 442063803; 487298461; 803385223; 942058159; 264462202; 983546900; 811673194; 830995380; 273268101; 182185290; 586669378; 425076991; 556480783; 787907006; 884882496; 577674966; 992467307; 620558966; 797232951; 980439686; 117525297; 657604150; 642535044; 412360169; 126747265; 879047479; 402619496; 336117928; 581552705; 497351069; 911702844; 2057658; 811829527; 93137978; 67749751; 220579101; 289819696; 73414553; 616104959; 707151512; 297486800; 711676927; 108720652; 824695548; 112213701; 208346433; 172914732; 287709512; 705616061; 228055102; 115850219; 13017878; 413622925; 740842844; 858234122; 25535891; 393419522; 904678570; 859820259; 673762245; 643463919; 699414796; 294540779; 374113268; 194912514; 533740615; 996836580; 204595742; 104878149; 550127469; 201312643; 653615212; 748673664; 612185639; 262811721; 872364838; 499119915; 338827429; 42528237; 51082089; 642407015; 898466798; 799628134; 44828523; 304267310; 195325482; 558471436; 735475066; 271280981; 393052951; 131948653; 932597088; 923122865; 183950556; 312460212; 415438966; 710646663; 615462543; 852232865; 596950847; 531925377; 967926728; 612521585; 410498078; 198622289; 732196545; 960479074; 70825295; 278701530; 15118102; 336209173; 672949353; 225636065; 933061244; 185006178; 470786479; 651861298; 453237366; 535894388; 190609735; 618151090; 941483477; 802408310; 666293154; 986697604; 167555482; 756175351; 783016410; 334619546; 298303083; 389034042; 510813425; 102372837; 372050496; 268346617; 888684233; 511466864; 330723533; 801940023; 852913957; 927784526; 922572004; 897457993; 101886103; 781331239; 435734887; 191261161; 781282816; 126213642; 795692605; 782173337; 479625132; 367749463; 291398424; 725330704; 324911728; 467392326; 652057351; 912142883; 388637314; 184344520; 325234170; 212443695; 225289743; 211261276; 835598193; 194576367; 431073784; 266996321; 119113863; 680028321; 17442043; 450484345; 467278657; 875772739; 930217166; 810984637; 697545879; 333373148; 104037288; 147396570; 61311230; 594174106; 45928872; 562078999; 435621310; 683594762; 254564888; 187688010; 197855843; 20285429; 906985481; 373368102; 759471660; 558168297; 622805208; 454430905; 469509557; 285887140; 408723396; 726628940; 103133008; 102539582; 697333038; 102151737; 125118053; 992363783; 846367604; 143105301; 430129285; 997708497; 114319657; 492057562; 611935769; 59847535; 456535574; 930408220; 974310721; 501125541; 964000378; 512448382; 626981387; 260128946; 797629713; 361622266; 5909026; 999422221; 576215674; 671149426; 724280309; 340075159; 932902623; 901092639; 897853181; 760468043; 875553241; 736281344; 946174836; 65130418; 300636388; 478019324; 589556362; 168001393; 899983754; 243924386; 946117138; 246899459; 389813433; 145502041; 97252856; 271190419; 42453092; 793702207; 688388228; 461877404; 793153865; 480702996; 262150883; 286061157; 44546660; 232057617; 146494907; 412034503; 292867368; 427469926; 762515305; 932982320; 259014176; 19980860; 973583021; 842042647; 471403714; 483438583; 920460190; 142721205; 944425681; 991391971; 791171386; 310874482; 533414448; 703941988; 634262878; 305748229; 970753216; 45447909; 33064018; 550923388; 590054924; 222036896; 292568785; 985020589; 470678552; 299062560; 111887459; 941437539; 950992385; 42412256; 168488631; 386549325; 743043916; 31635899; 963461494; 242111356; 871667535; 40049816; 478206881; 239556250; 797117073; 659780339; 568611719; 828498817; 857696017; 305049086; 409797324; 361929037; 153920519; 877877485; 759933952; 672972217; 505841239; 47294425; 89185316; 566634188; 812434890; 653246171; 712292314; 690815767; 808225669; 170977580; 868025440; 304461191; 648881388; 792483224; 606430274; 199946391; 317309123; 519327574; 585272936; 187354928; 337691462; 551010841; 940320937; 208673977; 126939957; 135138938; 567096644; 633221472; 721605616; 93906439; 875348163; 562306156; 774306611; 405609305; 216433975; 584333463; 237597000; 103716686; 207111498; 797964130; 606803935; 561925061; 736154123; 43072834; 635777801; 261911303; 563553923; 2743470; 708475215; 418113744; 266429444; 265724394; 152695767; 708774127; 638030237; 679561514; 405432359; 293833668; 138977136; 398893572; 985549285; 194245117; 700946080; 723926972; 46284155; 598679148; 2476156; 754462969; 30549998; 187116440; 174159601; 620008630; 240015176; 16044992; 710672239; 683615516; 283391334; 928225611; 896353220; 583963438; 302766567; 612320608; 470834019; 699990358; 141066015; 717993424; 939098960; 529261407; 795615926; 510263051; 820930451; 810634249; 739913747; 673556647; 502064056; 690603371; 156936260; 922879980; 432958771; 433141733; 105360318; 22337468; 692644007; 555819134; 47139922; 98422979; 414329170; 282302501; 123449688; 641172423; 101323749; 542821350; 64922671; 904065950; 442703928; 790223573; 115124191; 459027780; 52023842; 432861497; 347267220; 871748824; 26345040; 588357627; 27942653; 683870853; 855766141; 580297318; 373175417; 750028534; 603873982; 976672331; 938914081; 45632328; 528987096; 309572911; 733902097; 25594077; 347844683; 834127886; 640125677; 749385982; 296511792; 284349641; 472062449; 856180710; 98249532; 914702275; 174400365; 277590703; 469579240; 178875769; 795962270; 975584957; 430226765; 40507460; 29143593; 60730283; 1299511; 628474795; 447288855; 465329193; 122615316; 386072876; 923298507; 190658909; 13119769; 888490648; 257556540; 561341958; 339394710; 295753954; 118485507; 202387935; 690807430; 969804689; 558138098; 176688191; 767937348; 918612975; 921183393; 913051011; 786791575; 990585885; 603824399; 132073529; 339658124; 564826620; 984122679; 470971076; 649293664; 864579736; 5093252; 720418591; 265465508; 120628545; 774313336; 396087171; 318857761; 813188721; 45179827; 687577319; 89998955; 58574170; 774875214; 739263246; 29384005; 37702632; 58537191; 107620223; 639264915; 281312964; 909458555; 947241030; 748937888; 175857638; 176427891; 110304581; 180301058; 3661706; 33639313; 84524157; 396614043; 91970406; 432746632; 617107160; 882939726; 622212814; 970011713; 782416966; 597698336; 567423121; 405914026; 862770284; 390125804; 973966271; 309845983; 254203688; 441590872; 963165537; 748116026; 507366211; 99656805; 427548474; 290329375; 576179823; 378502933; 612246305; 397197886; 127842377; 177988780; 177507337; 185825839; 121744503; 832622252; 904950004; 565038994; 41467535; 283225272; 160553908; 384274043; 933122299; 810965893; 606910257; 489262321; 729258533; 123754693; 538230679; 134769669; 545270361; 455715563; 896887510; 192683218; 767688662; 636466895; 891390597; 63379606; 493509559; 36140688; 336546093; 401483149; 106730693; 440030626; 701725941; 890903593; 344852305; 991021987; 420316086; 513578355; 424637310; 982385452; 140035148; 632786899; 179327061; 864825647; 186672638; 773575214; 930524785; 252908514; 516572888; 649008976; 235188047; 177859665; 67103358; 389556595; 975020481; 410671543; 119903504; 455270180; 59672004; 799464605; 281870832; 28302160; 855967333; 342796966; 170854259; 261109786; 685818346; 732898664; 690516263; 868175314; 596310147; 913242241; 854232764; 134069343; 727604274; 202908183; 446392695; 19606332; 846306897; 465972730; 892902621; 161656885; 527664776; 395935107; 182115395; 871903073; 231094142; 486318713; 821001808; 838195046; 834823059; 217004377; 924106551; 989063820; 768968652; 606096321; 146175990; 614461446; 792471439; 870600162; 756806650; 384666549; 512794389; 418691417; 306837201; 76286206; 701789843; 767408172; 411864588; 730582386; 412787719; 497469416; 697515168; 595095072; 416537109; 469458676; 385469531; 695487626; 377557857; 891705906; 970962357; 341929442; 642202624; 567891479; 431108097; 593678314; 917889312; 705953653; 382129331; 547039650; 35017396; 814175751; 295723452; 613616995; 20099072; 574186044; 170487707; 984972517; 488343722; 940824309; 492591919; 209445780; 413737042; 597107403; 34752340; 877976842; 730171682; 184852249; 820098056; 337951794; 131254735; 802740879; 439948946; 523005955; 288401562; 428691835; 200954461; 25827851; 526115199; 391665759; 197785840; 424821590; 546009823; 724127312; 113823477; 788940310; 330958005; 283516308; 102242832; 636516458; 463602609; 345554800; 109281356; 277204845; 461322007; 787979587; 679689355; 952493533; 882292877; 955139649; 29529529; 567783705; 717792082; 300802428; 919410685; 366629501; 331111067; 509399791; 815963447; 599467467; 878893565; 419423586; 471358511; 237504256; 819450587; 153136994; 916585026; 453448725; 780363409; 902060263; 753605562; 882142201; 180183209; 233212869; 755392259; 754405153; 787496825; 75789668; 86828644; 925711873; 198304261; 631189285; 202737017; 581323839; 314289139; 8190635; 362488030; 981011289; 561221671; 146569183; 749517803; 300398388; 649406309; 870736762; 139809449; 725368630; 41218295; 168306679; 217806732; 733359658; 38321435; 219408894; 773653719; 343162300; 138846111; 523979643; 771173464; 288562185; 463108743; 776060174; 731563636; 968532695; 303541014; 996176357; 511658734; 12388040; 497463648; 673837929; 270458666; 987639300; 3189899; 601567436; 506409190; 484397217; 59262287; 576643563; 595162455; 249889979; 185105863; 312026612; 675098123; 53914180; 77017127; 649144729; 564024223; 975088830; 670669143; 284913492; 680514905; 470411125; 121706766; 248666714; 416157673; 719805490; 266640447; 9142116; 471879490; 433225354; 768203371; 106906336; 95002365; 915692307; 182623884; 122999673; 850067910; 588975298; 562663716; 381679088; 318782017; 980636706; 344852410; 294544256; 749992337; 47947646; 567838636; 159758838; 325507522; 13727067; 84847987; 802830161; 980431195; 389263239; 228414775; 106026058; 979527013; 741236442; 242089696; 293280297; 111329394; 957440228; 431939072; 688756619; 338330305; 358807818; 739951106; 920145848; 800071443; 446797790; 856931945; 930703346; 651895374; 691955141; 15353968; 568131368; 82116936; 568034940; 449591222; 790583271; 868405479; 447946956; 637593212; 4013086; 380484775; 858868169; 656647641; 550119671; 489856533; 802014694; 600495273; 813058922; 843527285; 288142472; 750286132; 810334536; 145025198; 796644276; 132330164; 621451686; 55041365; 121840625; 942700715; 324853889; 759068246; 500930641; 579526824; 526176032; 976256307; 911675065; 680466653; 698406177; 107313220; 460714315; 482544776; 563034282; 625815097; 355570502; 13418757; 240018175; 627251813; 871476826; 531020103; 839340558; 369871222; 970316765; 2236561; 721965137; 589809684; 778062565; 443280537; 475583499; 509039217; 43985312; 114956511; 596656795; 331526489; 2366185; 283163991; 897992156; 78210158; 625085925; 768980660; 567786546; 792170691; 709386877; 698003959; 567176221; 668051681; 900821921; 383802451; 470576833; 392244288; 265876872; 10841287; 671261813; 48743517; 799882228; 204731129; 885433590; 490002786; 156047812; 311460050; 309670284; 928783811; 206122353; 170302832; 659466240; 957262431; 961188298; 402878680; 632465474; 715240529; 364562883; 84310006; 903919629; 464845867; 369877798; 151434961; 483594500; 545947299; 629165037; 544185109; 246318437; 661583067; 438334121; 38558059; 761458875; 710009127; 739121255; 357455242; 882979048; 642198287; 410674759; 815635675; 495148606; 745945399; 605386386; 724496245; 924778150; 336825138; 364141636; 817823474; 39482370; 59276128; 935253335; 980117934; 659324746; 56393104; 234622397; 826091158; 757363322; 796753552; 726709478; 936960829; 955100955; 684136815; 135144330; 352822050; 28763099; 179585272; 407092721; 351416276; 478117318; 66250121; 259570192; 768019885; 796875393; 974014516; 876424606; 986015940; 847062398; 958197005; 755523137; 211105823; 671074569; 276942736; 566496471; 693004857; 946339808; 153413776; 246413837; 362829435; 15041915; 136912476; 385168602; 48259886; 944356214; 753616685; 903438269; 219865223; 337133761; 644404767; 514856961; 379089831; 349820651; 286310283; 539325945; 328532268; 23584006; 283676605; 156674674; 18452770; 366167387; 628369239; 331644284; 813881022; 164060800; 249257716; 694580592; 89785337; 117350824; 486395368; 398161964; 822630353; 797168393; 797913789; 344421667; 182004253; 507167506; 442667278; 992312313; 112139967; 620625210; 698427418; 720770876; 760800951; 419296669; 502479415; 659959438; 517332183; 627717357; 857331941; 774574070; 276690402; 568068206; 643371068; 984177122; 743945614; 789281903; 69683635; 579208539; 862603053; 881819135; 762424201; 133161271; 560261428; 744537248; 637067597; 641268417; 646781334; 543275334; 193559960; 779872263; 477597649; 224878155; 339153109; 114979427; 31341505; 705028754; 906476107; 158822327; 980285697; 132563926; 136985099; 315426872; 381862479; 194791527; 956782923; 888128329; 679110085; 282542795; 633208856; 341316673; 382715105; 794250114; 429568544; 164496257; 258232919; 195789832; 867640229; 917772949; 243596237; 861442884; 223432920; 754117646; 233704458; 358774681; 432659212; 663138747; 770072067; 93392192; 905577846; 889053919; 517024047; 287468451; 471198888; 259203476; 159380811; 788718226; 289323682; 120228767; 423891804; 5642756; 922182092; 96796750; 664861962; 313204607; 600185832; 85141697; 886365782; 619314977; 712370399; 531402261; 657510674; 451988200; 909710802; 24408463; 628996106; 776658265; 116173753; 652168710; 763221739; 16369198; 660952623; 606465063; 272738169; 920042100; 691876796; 967947104; 375388792; 612724912; 252822037; 400165568; 335508669; 241429745; 517623771; 132138225; 60014406; 370722653; 33279050; 539978266; 72263316; 213857752; 244549587; 506392811; 977376664; 553879949; 257570238; 130152211; 872765227; 148783439; 740072107; 839018867; 221329179; 169196146; 568973677; 256589502; 220651505; 939608334; 490133986; 208674268; 687055310; 101461074; 494015970; 478374743; 173889792; 443162338; 624587032; 558398316; 430105946; 119898962; 716937587; 198902422; 641657050; 738596308; 123257045; 108574887; 990769445; 588655333; 884604777; 393026293; 561932388; 924032586; 38038165; 397185332; 974349070; 937804937; 674357147; 760654994; 272726656; 911981376; 645210756; 904117268; 149188059; 305767238; 477815004; 530821867; 248209800; 683207566; 202277902; 461605704; 201734322; 855836681; 86940338; 747128455; 133750794; 729313337; 692560018; 399395014; 601323983; 805422151; 825647617; 986077074; 724721228; 886983003; 854647188; 137088128; 236190729; 895368532; 297310414; 386012943; 987053550; 395793650; 353844264; 373967426; 368374563; 40320203; 1304478; 576583576; 389531050; 399157187; 562093966; 139346053; 148720983; 897408406; 105539702; 302518414; 832069887; 277105501; 198393604; 399867682; 424770034; 609161390; 960161291; 953893576; 369878778; 116481174; 114046612; 702221785; 13385542; 704047417; 314961564; 980653684; 596066018; 246020963; 887958120; 568540022; 405565996; 859348351; 435337214; 346737490; 809013045; 811179794; 2617195; 72586131; 499834418; 321449248; 141509095; 537779268; 463581592; 910656117; 998462647; 996351965; 592594978; 160664796; 544533809; 276446784; 462802892; 433054989; 724898840; 85692447; 729260681; 409961628; 746895365; 450446789; 881040567; 722613851; 630386019; 94039585; 944891207; 398130030; 682995567; 367817146; 792781949; 102273830; 539312204; 331371368; 172835541; 883077955; 763020047; 784385023; 412193453; 297501645; 66282355; 358942021; 659153754; 921888506; 522455872; 548405040; 541662524; 836511894; 893644161; 142310550; 813118791; 456081713; 577134183; 467631175; 102154198; 124586569; 193726182; 924330731; 143138720; 446505563; 265306237; 131294605; 424474886; 589379471; 948645380; 469169534; 784306614; 156813266; 763730026; 857065413; 159485511; 433576361; 381750993; 398522565; 448390460; 543278364; 611869209; 227905191; 794125499; 359938849; 164661786; 716607737; 655446089; 713273694; 130143360; 488653297; 38558440; 616876776; 486240021; 506973866; 143376539; 476507647; 577934922; 544776470; 364712218; 714421114; 252529012; 948550585; 413634152; 985626729; 909929633; 814558983; 287151392; 124706403; 782858808; 66785087; 630675230; 217565655; 365073851; 263536845; 941372026; 196945967; 335312844; 561238101; 10207063; 301416583; 639644426; 709203664; 677388652; 118826182; 469784456; 953511360; 812637751; 403262451; 284887214; 324508775; 476667689; 417698125; 289272662; 937532146; 119397016; 171505574; 79945350; 937430742; 158299929; 252702951; 282839320; 32513954; 271329808; 618673645; 826648750; 560798105; 82865562; 629396901; 789109241; 690062332; 507366224; 417375135; 238346833; 552338806; 612464454; 834871501; 947409330; 450478343; 453619157; 255511334; 872962656; 649020174; 216851134; 902575043; 151898934; 962647908; 281274393; 94049845; 990359823; 548348429; 967816935; 204398871; 425481996; 162202705; 405722122; 953376929; 806652644; 913697044; 752590217; 802476744; 668091182; 341815893; 646651686; 76489449; 559977031; 752409332; 988194224; 771846726; 290027817; 3782019; 697895763; 306289108; 713005926; 415750382; 811540103; 1171407; 682739375; 458361602; 114666538; 454027964; 380401073; 727479619; 355551937; 865299354; 661395338; 413675003; 261301252; 537080286; 617168246; 282139395; 828024664; 794002470; 550946954; 995994251; 360206226; 209947941; 542394122; 328651734; 865261275; 630487368; 539068343; 508372767; 598901797; 40341750; 133931993; 754526374; 781145615; 381562603; 76559505; 85655586; 59058562; 646792669; 175931740; 210458636; 600754749; 704250034; 131062778; 972073767; 869888901; 957436749; 484864151; 577429563; 533728949; 169626743; 753793696; 532601608; 356187773; 810938869; 465707150; 150205581; 485820466; 780802277; 212492666; 956883304; 170512998; 867751977; 54339086; 293186518; 204416850; 953119079; 478278168; 687287622; 714948996; 928832814; 10438071; 647913500; 172177082; 156829242; 627650401; 39560196; 473345998; 496565862; 957310889; 733170016; 251044400; 623399045; 215767644; 761253428; 69193187; 456318677; 562776235; 175716916; 572481624; 104479390; 499699595; 188588151; 451702022; 806443970; 921385339; 328803284; 934677442; 364213209; 638239725; 669351828; 281122124; 526646052; 866488167; 604666657; 488802036; 630292935; 214927688; 837071940; 141538293; 843556781; 92078948; 654786466; 630701352; 224122555; 647063046; 312941802; 174748163; 540404840; 988584405; 618493780; 236447486; 319638949; 376789905; 683695868; 107598582; 690992557; 384663682; 750658989; 355604451; 611953574; 979598008; 441611218; 549236603; 591668355; 576280797; 475665659; 592672758; 822081013; 852153879; 851267606; 810810894; 286985531; 457437970; 751654650; 735968375; 856134031; 185864122; 62601430; 907281458; 593516140; 167388163; 89107395; 640699799; 535847812; 13452641; 154372161; 146226393; 369492725; 710231427; 235635757; 441060837; 704044591; 951301822; 267689437; 695941550; 81858075; 825406743; 737687142; 875980513; 816835828; 72143987; 273058407; 47697397; 291384580; 124238055; 948872597; 312833850; 725456692; 290012009; 682647339; 264699913; 562895877; 124241422; 59071704; 928558413; 691477889; 118448918; 43867023; 414816189; 442303356; 358842866; 411528257; 50053583; 288412163; 234320422; 237941954; 397234704; 732138091; 472236888; 976425300; 831639818; 162906638; 843496770; 45372721; 773128196; 270885460; 602417894; 47648092; 293225047; 481059680; 285875474; 597541793; 494291542; 764755697; 83064005; 112054153; 987193011; 132082062; 240976881; 898685079; 745500620; 840604468; 171502537; 652232130; 536733612; 484798212; 2715582; 180648307; 264845704; 550546249; 966566812; 418838020; 330703437; 610637438; 924603572; 108400776; 996184690; 525246776; 106211954; 431705163; 60011429; 471146335; 629933227; 654629850; 609687984; 176221788; 511820880; 240815206; 216383711; 857705798; 285959480; 526789216; 579165555; 524358478; 912079186; 627467217; 186255826; 721580186; 612012797; 568460333; 446756535; 714277801; 988735675; 953327170; 618170835; 915666464; 235858580; 944371284; 812337510; 567323261; 977353318; 871551360; 777781355; 608865313; 733520311; 645613730; 609983317; 946938827; 414731933; 17823345; 488424910; 683493248; 283082785; 960498397; 510929887; 972964020; 337555639; 404620024; 817179438; 634675511; 275727714; 932340313; 945490322; 125724568; 153394497; 131530124; 282253801; 279907232; 630419208; 471999492; 490319653; 883118084; 587204008; 738936336; 809110708; 471057793; 797211607; 27334724; 859438375; 659194646; 206268531; 972739248; 408427831; 105299391; 825568904; 981689735; 708942213; 643042291; 161127138; 723734070; 420655779; 204707105; 211167521; 22362841; 808841947; 174559469; 470303403; 758953780; 66731869; 56843740; 706495151; 351395588; 956046747; 522012386; 235160745; 658338213; 648688243; 354135936; 218332179; 508016882; 680024136; 824701592; 302452759; 846806099; 764899527; 47894634; 6652627; 375369046; 830121902; 314328655; 296438943; 350375862; 483294235; 19670014; 1932520; 400144924; 908847310; 614828809; 786555944; 152726567; 516215738; 650525874; 657770761; 568147771; 408214058; 992205475; 611478042; 615277446; 312514355; 454142882; 61998975; 841007365; 960025665; 729777119; 997477786; 224962812; 145390433; 179282525; 965882122; 547050963; 222477178; 780596772; 151704332; 47174180; 363388766; 746968708; 790735471; 815499557; 805233417; 166291342; 589618657; 794133062; 62874767; 175562360; 689418453; 284609182; 936930642; 39864117; 909595029; 382180606; 696204721; 106656182; 295662002; 342199783; 313710589; 204752962; 5366544; 796558303; 126043997; 879801520; 485064954; 41764357; 250666020; 364938853; 500565883; 266830299; 614364924; 776142049; 347407809; 613819933; 598225197; 29557152; 26968956; 648484294; 849911709; 286585365; 175305016; 118946806; 384300176; 385803072; 688802096; 479256751; 522571595; 974859336; 605428655; 307459914; 752459606; 425883071; 571959311; 920621491; 938731042; 520243818; 472478919; 341157227; 315832783; 329138198; 714873979; 150914046; 760746048; 33177627; 358516264; 545630295; 532905077; 453855334; 95090984; 768489628; 401361831; 656212862; 404696317; 820847917; 201317505; 439095185; 101906154; 10430277; 901568666; 118141686; 804141776; 942461657; 658104125; 408614134; 735159862; 920810848; 859651755; 378362314; 753337261; 691449628; 631665807; 152178879; 915888654; 398489323; 825759641; 824100236; 85406807; 911260352; 535156227; 752232849; 830580958; 414043117; 605810090; 641158516; 631076944; 967031125; 826347746; 502792603; 722439669; 954936619; 540119043; 555407481; 478802317; 188025815; 343153308; 577608018; 665951667; 193358826; 816203737; 534525164; 824897715; 854850199; 819412685; 454824895; 246387198; 853368365; 857570825; 948255969; 902350306; 677913280; 979587656; 709892622; 134401000; 21246010; 517597097; 781732870; 152760461; 344966202; 335207820; 611760852; 432599037; 691413141; 772396525; 893752510; 518760225; 648388078; 527397843; 694467369; 691016291; 466205792; 513940944; 622244088; 949144805; 403987195; 841391731; 894358038; 452988480; 802220966; 367066918; 834334876; 672489115; 816157970; 863807236; 80901863; 477838050; 119583078; 843604311; 683574849; 8444180; 518153589; 803958816; 669390761; 444513118; 185326762; 58213733; 539853816; 980238166; 119950347; 931035007; 536696188; 790295072; 415486311; 57116893; 215930371; 673761692; 767622921; 756797789; 349916104; 282559987; 411180949; 539444599; 374058015; 454076129; 750182128; 223244038; 518935415; 663651512; 612382773; 900620670; 583397168; 285952738; 769338355; 953638545; 924833584; 324942928; 229831647; 884338522; 184486719; 22244226; 784614482; 778215065; 663472900; 18464169; 962110590; 423243212; 358881200; 359801041; 618093057; 912164809; 31572509; 148749239; 954458053; 196669505; 147397014; 379317571; 877936018; 477489791; 33694633; 493784788; 226095220; 302146394; 185577159; 538609659; 203445465; 335265502; 640665393; 978997696; 477092658; 203554989; 673621648; 677107419; 816858691; 197850853; 991439207; 582285334; 962787356; 367910793; 156929699; 930151981; 349204878; 336473842; 717318277; 965288662; 765245767; 190553265; 978557221; 903976697; 941157815; 38058258; 529199890; 956002618; 448455536; 678142354; 287270849; 275272482; 115004451; 962700057; 856393714; 991739431; 741740215; 879047593; 892067178; 720740209; 245978196; 773081990; 352560897; 858457161; 144301417; 903403348; 637045501; 560927975; 121389115; 390295380; 26312819; 853019954; 207111242; 985091797; 99930239; 529186589; 712046418; 42826895; 72445921; 415094526; 940753674; 655562399; 504844599; 485787398; 583563864; 655285001; 440959043; 429856024; 988819802; 88795516; 183762429; 886595502; 640795995; 569973802; 433086672; 859560589; 959336337; 389301788; 628447723; 551625392; 928328769; 366059163; 381989753; 168521420; 382091957; 890009586; 213096978; 333438591; 205140414; 269872734; 61050751; 21253928; 379853025; 628864167; 142031623; 451998839; 943379750; 591023622; 951390229; 737777400; 264872557; 223032396; 439968999; 325421404; 163541760; 739332363; 66909486; 460577370; 454293130; 392007755; 579460658; 429682346; 595402519; 171165134; 446676127; 873858638; 114196777; 329210619; 215425923; 297349581; 477347859; 467284279; 180613671; 77025143; 530802926; 309337923; 605183638; 381561720; 350857378; 260625055; 414658472; 656783628; 839198853; 945803590; 820174032; 444359558; 293755855; 786914460; 532930786; 77287096; 170893652; 921844764; 896284956; 108578970; 176542882; 344657216; 139806401; 911669275; 414550047; 719344367; 833269958; 634970677; 58246087; 73763132; 748804179; 850727225; 240639217; 419608633; 78591804; 829024329; 40790353; 574628703; 485067387; 292386771; 595921638; 280772584; 382329516; 266028363; 133394040; 944227656; 869304418; 548184118; 744480437; 421615174; 803795718; 538330959; 93898877; 88264803; 711254470; 508349999; 219725405; 468241873; 881497116; 544377925; 493844656; 338392337; 522640931; 927684478; 454442435; 25068134; 579680349; 19185956; 169871194; 104877696; 782870077; 740027971; 868917423; 437609332; 249337389; 52937545; 902448492; 273968821; 838372145; 303971026; 370271741; 933499980; 950471102; 96217327; 752094240; 465189797; 988884973; 734411149; 281850473; 176748130; 447843380; 914992627; 566718444; 21238955; 876942878; 989808825; 395126695; 432505138; 419262843; 452320810; 210488884; 772334592; 142345486; 512320831; 317486343; 687672403; 956669636; 428044591; 860387608; 219183019; 843390750; 381338429; 209621043; 61590845; 875789191; 155144869; 542397984; 788438747; 821100021; 230002830; 125320118; 313192652; 53215268; 700280758; 6475673; 791832219; 452155877; 936679807; 32433298; 497611533; 127879262; 445246747; 737819475; 131025606; 316092859; 89542725; 560199245; 915749697; 499187697; 760376301; 207977009; 878494163; 854813853; 552179383; 428042878; 459060183; 763827591; 304123919; 650875773; 697925802; 589473231; 365637287; 452996377; 262819224; 665229785; 272611222; 870950811; 67517789; 523045399; 294362250; 448259243; 522824567; 483109534; 499272907; 976494751; 316977261; 557979886; 890373813; 180648743; 753238763; 142734557; 597809831; 417113221; 530888231; 39517168; 74835540; 470314516; 360845164; 40570143; 16398937; 370530878; 732623351; 98026004; 557439294; 741971862; 18107327; 476019058; 823120842; 742670730; 503754677; 872441558; 758953903; 599731755; 45424343; 729442456; 725335493; 703805825; 657855139; 103716972; 134040675; 735815327; 858331416; 978564940; 759951254; 685406067; 51463272; 161586469; 232878003; 653658655; 66436685; 736156555; 305341934; 657827092; 584702159; 488590458; 709904649; 907763203; 5282953; 695713384; 158573427; 896721835; 761686101; 811239947; 833432837; 702913278; 649557639; 5706430; 802244302; 886173041; 934678111; 105979083; 265408286; 461691739; 193564368; 276620931; 499449974; 784681712; 733696258; 663052848; 783049718; 873280545; 452616226; 850561393; 505096914; 144913651; 153243869; 453879176; 38365037; 958902104; 195487295; 650270582; 228840938; 917839613; 863603968; 298682808; 621054446; 167543409; 358789870; 868276354; 280804326; 374596204; 322753300; 57308801; 615711755; 511448558; 317023369; 854960621; 193494528; 440305110; 433952841; 221882373; 672491618; 570018661; 707464243; 524643636; 871556065; 874358759; 976654810; 438924571; 430336233; 941246759; 829484027; 400312044; 390820787; 534622585; 666897166; 444524334; 4334617; 138556249; 687306145; 870837449; 639574271; 410249555; 625388502; 374748117; 276057746; 217031982; 675590891; 996142155; 807026201; 117091271; 300968076; 619325061; 769575419; 932466127; 187627430; 192836459; 933056231; 277838880; 801363274; 653868977; 214049132; 506913315; 969925852; 63397372; 9329009; 917591030; 619124865; 881598223; 787257911; 565605831; 259377370; 649593079; 895734874; 720598147; 448548786; 981549471; 971817598; 672927664; 908464128; 528977172; 85476263; 352278148; 137985178; 767324733; 674395146; 471310141; 416878622; 263626213; 985526375; 551133376; 325294337; 688236939; 21856759; 708650268; 810605732; 315318543; 133755794; 579063940; 216014308; 913890770; 259615637; 254822442; 587490633; 785394181; 334740369; 722906568; 573251844; 40318339; 213408597; 811763687; 99189531; 946827197; 998851961; 140456357; 46469424; 174604124; 308706889; 587342760; 664951844; 501726538; 123000244; 758229424; 622513545; 595284984; 886995107; 597101932; 605656454; 135584667; 941096858; 415459014; 460497594; 823773203; 981566127; 59718919; 958348400; 428708813; 982183400; 790050503; 529824712; 92858154; 99216118; 449149907; 863913085; 205107600; 99315620; 631884992; 900830810; 335542185; 830282810; 774711418; 39903375; 4538865; 863371065; 178860404; 21647106; 528781892; 951773446; 357460194; 512858593; 339840818; 818413277; 20397423; 910670880; 404349021; 929530296; 924827091; 542317885; 262493194; 26075313; 423171762; 742177165; 188056875; 679601948; 774883188; 109899404; 18818503; 289712343; 869542107; 658583165; 440539147; 509828253; 738713920; 909719017; 115024881; 527956249; 374849852; 202085776; 960322202; 120276597; 257525308; 447111761; 888830242; 666103532; 842497306; 922529404; 963270322; 480190395; 424928838; 579668099; 667677054; 355487380; 626035288; 893912027; 948597222; 946950758; 399836558; 460187944; 701369001; 515931121; 412791986; 502566181; 163088501; 95177809; 869800535; 160213457; 273914353; 615474514; 629407518; 5648033; 942228222; 172958853; 280911475; 246693365; 736274995; 861507335; 825607676; 563496698; 110875838; 269990826; 219130276; 629771302; 727370566; 703036516; 176946719; 189770554; 589926260; 314718667; 4741966; 810064771; 143023331; 745419089; 25480238; 338688541; 340146062; 863814506; 888342289; 224326007; 533147836; 449947692; 303159702; 565896553; 273893607; 9044623; 882384941; 448030280; 14424983; 484484771; 365827044; 973671866; 786916484; 567258722; 214721761; 43051811; 914217937; 41253490; 397795741; 805750609; 595520186; 265366743; 401260201; 746088412; 960167547; 419322906; 277195708; 216797953; 214957596; 86690845; 806032087; 226608082; 849107395; 812985968; 812917962; 373208323; 427971815; 326130096; 737189664; 771849871; 813089453; 478668986; 20641802; 674350829; 37217200; 641084495; 59138492; 968226359; 235467161; 375700467; 388780808; 411421856; 459611286; 960701528; 595758912; 85360132; 53116232; 442319348; 221812899; 621803476; 377289625; 430986034; 424837220; 168584325; 771378244; 127538056; 613329449; 672845241; 685151276; 509556530; 322841452; 447699967; 164923157; 329244811; 245490032; 326964219; 685096133; 814239922; 232677793; 926306015; 233315879; 744595771; 938457017; 980432321; 582594856; 641879955; 691851156; 190889773; 467587132; 266410417; 974711315; 41274813; 223052967; 846012000; 588744607; 697734333; 532125795; 821051369; 716261507; 290775111; 1714045; 912618388; 198931295; 914989605; 959284532; 223796303; 12279611; 334177055; 594842213; 388294018; 719770702; 461732735; 104392020; 252984152; 613866898; 884545116; 222180069; 140516383; 23423854; 945878720; 965591379; 191948532; 752300669; 207461879; 430474527; 656468691; 306492169; 912306463; 92958364; 403423377; 850873292; 313267380; 109018448; 483515441; 36843849; 692617773; 990793202; 386848323; 416054660; 404592204; 390833510; 718961662; 700313291; 201267927; 730318442; 440381605; 439571376; 558275589; 96038706; 175646570; 695673332; 280775892; 909736072; 946501901; 490520715; 425072267; 230585352; 388436859; 589148860; 731285277; 426402488; 841646984; 19695196; 994434577; 955631804; 328373000; 24390280; 939094962; 594131914; 446148963; 793778915; 811262307; 457255494; 880022463; 629591830; 779087970; 831529102; 850810937; 885194122; 606355222; 414573319; 359456203; 324299903; 224419166; 882683700; 734881081; 336277422; 584822066; 861833018; 546304246; 922610726; 589039183; 140707576; 626039565; 825079159; 662448837; 314348137; 580984723; 475418159; 999961996; 197374916; 681174677; 356432918; 352315235; 669165156; 634236391; 428039156; 186611321; 806016509; 601519025; 96661717; 814974459; 184205621; 964082610; 817410011; 731583202; 643459677; 315643767; 126081007; 66366148; 551058710; 512277048; 900427045; 249769732; 61542367; 862752810; 505745528; 355228920; 477250609; 866423079; 486167974; 272113561; 605697490; 775317665; 683184779; 653899289; 997631626; 678556837; 928383373; 680186015; 889385700; 805339806; 806573340; 589352104; 659680801; 787224319; 489644599; 237407015; 524679431; 258120315; 921655578; 840169841; 565121553; 332936256; 294123912; 54997852; 992050943; 324019534; 538623976; 950602255; 554778764; 886106854; 347629143; 933993584; 925065077; 984968724; 693876453; 405733605; 108086293; 88530444; 602639802; 78622713; 405123737; 623720592; 311821837; 276706600; 520056864; 290912456; 987628000; 774755682; 963368315; 208388326; 268759446; 398441247; 983490898; 679638016; 923520827; 847651952; 307521481; 130592976; 70654175; 941004832; 400097931; 438769481; 466955635; 265293456; 56100280; 742064674; 142473369; 854441840; 139035740; 643305527; 705728578; 10652322; 138913110; 904548980; 308536992; 655319873; 862678448; 508532456; 389254199; 129550314; 496621128; 600140692; 349828315; 799307731; 608833398; 956326135; 989620149; 842625735; 135771202; 862416212; 521037480; 440938809; 320266946; 248763769; 616564646; 443476635; 708752233; 442783579; 94181367; 94283924; 792352497; 600814622; 253897205; 343770488; 710275664; 12946099; 602291279; 334396099; 66502283; 131852772; 206587492; 663606089; 837354577; 396597273; 342258212; 43871562; 867973666; 461717253; 381630778; 134372080; 516647814; 5616833; 247852765; 922278177; 269713069; 174468676; 824710622; 927270186; 234885195; 767884675; 674099711; 629228763; 826475622; 912907552; 381730052; 326952553; 925431836; 606337421; 97529742; 521112416; 577841385; 224388469; 399277485; 799334212; 877518602; 551915127; 578830729; 701057974; 472803381; 495952723; 870040802; 585350734; 110887956; 937282914; 804823633; 814372503; 213883392; 778032856; 320551659; 389786347; 832032943; 249621779; 77769345; 730869829; 169678330; 985041364; 409495128; 999982627; 104593700; 630750176; 220418243; 715666992; 366699731; 621761838; 784446040; 321161475; 950014826; 832217626; 485895092; 60937561; 190432955; 16015023; 293401277; 960143062; 944112978; 218178211; 950068353; 555544132; 84590396; 421254799; 773605340; 895103051; 963434624; 45745258; 853630996; 843249346; 27892004; 373892039; 909187431; 892125291; 880234128; 226406735; 583611563; 652638377; 412728405; 763624842; 656076756; 472528738; 155229805; 960750227; 570482309; 621087012; 383683489; 985801476; 640722445; 908496770; 146875600; 183141487; 762488823; 167050075; 444476182; 472889400; 304660674; 247403607; 772249519; 647011050; 615479567; 298273242; 200593131; 944402935; 730126277; 909725833; 608093574; 734137353; 980376073; 46927247; 483760579; 942752677; 909812560; 151945919; 555662282; 910214827; 277870185; 559442281; 100148938; 937270762; 602235308; 853757388; 533772678; 996842306; 994611913; 855317360; 958608093; 844508171; 400941585; 23309344; 573739316; 524606879; 936068675; 841591421; 746587726; 357280174; 194745931; 52267859; 781747256; 390279553; 844612420; 112645336; 690376423; 218211711; 850047309; 938936941; 978729383; 241730972; 481611581; 691231701; 442470144; 63830228; 113364147; 949883678; 173799432; 879888820; 305288025; 934834363; 108003864; 142933464; 527929947; 807082904; 457693527; 300290304; 306469817; 764198844; 205752179; 184557903; 341829525; 674385389; 658831551; 126279990; 935554649; 610861904; 859445849; 939594508; 871251514; 599001103; 739703054; 882312385; 899189648; 586241329; 597661747; 444820719; 213661949; 83433685; 510394756; 762263957; 611611364; 830889783; 70640537; 514512857; 618315089; 937342825; 122281658; 815672440; 319020581; 499705316; 274422834; 940975572; 980878798; 740332277; 826425550; 950477091; 136179165; 543708016; 102249918; 215639954; 572055369; 753949057; 669426332; 171361151; 113488869; 665129711; 553874755; 926247117; 848701050; 594782252; 199096025; 931204646; 355225953; 235898822; 436669441; 81494902; 349844549; 216886432; 200265903; 178299285; 428241342; 816418925; 212383244; 257655290; 548864440; 512521854; 763357075; 96534639; 803624832; 85673861; 711173183; 453980323; 651577819; 909175353; 269591856; 978748624; 511949007; 721167265; 137988773; 558271612; 419411620; 72592186; 874567866; 340195470; 762314888; 760717792; 18022114; 23622279; 666158573; 63288432; 751557252; 209572908; 541987270; 977244540; 887365879; 522521086; 638476200; 682049631; 994836371; 744149126; 44257358; 868058520; 665390554; 669018151; 338329318; 957981752; 692472399; 28722247; 230726534; 757282262; 408840656; 66539194; 544039005; 904100930; 38934295; 374015377; 899703130; 475805904; 862675440; 452687044; 213637027; 809076628; 686019609; 926308950; 571700800; 733110574; 942873865; 716809818; 139968565; 997262732; 503640619; 422127631; 248326994; 39265692; 881859001; 281871650; 164573111; 417999405; 91337650; 535220790; 184440822; 128599994; 47858942; 350644437; 20525244; 162237578; 73424099; 137110164; 74835958; 429599367; 614258924; 714384727; 533930764; 607740901; 692159169; 120390614; 816841085; 422894861; 699592046; 784228641; 572705121; 712543900; 40895399; 426955698; 529559158; 777408506; 194031277; 438361988; 572012726; 130606746; 679335991; 408287937; 707658221; 759194084; 68254426; 63896421; 938981841; 852542141; 31412826; 352042272; 442171426; 59619798; 5931436; 848652240; 557405785; 469452; 794353973; 413790416; 231546630; 717339866; 814224710; 761259328; 569293531; 715637927; 803616900; 801884389; 793894897; 264567501; 892355933; 762572035; 473190324; 386852283; 934984893; 6100069; 352067353; 240818121; 230316041; 876348730; 653184143; 136634904; 187382996; 403215073; 663424704; 640143886; 204766901; 905192114; 146154696; 47289825; 427718187; 607360875; 477930745; 991617266; 627643338; 261291489; 100368909; 846936745; 818393741; 656780455; 773927684; 890079767; 839105519; 666328121; 488719003; 184432821; 922397341; 798691039; 266654772; 839071081; 152684094; 644219104; 814070951; 274890154; 421166949; 782680750; 95617312; 638577561; 452745832; 937127183; 239962821; 380246877; 285459767; 336606339; 61804210; 285220169; 715638013; 572414365; 147947867; 497446450; 520774501; 860678253; 128644034; 636499052; 32331188; 881098628; 314594965; 922361976; 719541506; 83432761; 88195814; 486799846; 31544917; 579003109; 881135097; 166251592; 311163203; 632889659; 808689999; 336297578; 351629130; 813743753; 102813884; 361965546; 496914589; 170871507; 271684707; 361957701; 580640291; 69096200; 530738840; 966272935; 976567612; 868551600; 179459822; 758308102; 971098025; 847183567; 815545321; 770130293; 860782814; 614476701; 640412051; 220084966; 435360363; 517313655; 194855852; 330223063; 487833151; 504751127; 106381593; 504011759; 894216455; 239554318; 513532911; 93081430; 238958592; 928665287; 749223770; 681529513; 623517303; 632344049; 800579581; 130793179; 713495617; 587188901; 865188860; 462766004; 906091784; 231432718; 42850671; 854726594; 244093281; 512450699; 956519123; 204662748; 318289352; 579259058; 995278506; 19966998; 237124823; 567213824; 900531003; 218342001; 491823276; 319347051; 892524386; 154755369; 890354872; 485366193; 837368211; 566084130; 641565019; 287823302; 298923274; 923388396; 138409658; 284368657; 536049584; 118413458; 955873473; 53825828; 937720311; 974677108; 827741536; 381794571; 435262179; 639287549; 208235001; 288071879; 208433498; 739991069; 241393320; 973382434; 344127473; 807204275; 109702691; 590081556; 586102470; 376669458; 886114464; 226876849; 977358703; 211476682; 387252239; 547312772; 641035235; 307576804; 633586398; 177390274; 393552819; 379013803; 981493329; 940576108; 925462496; 667544857; 814462982; 645974885; 128930788; 164123115; 98469962; 307282582; 723306474; 748041705; 727559233; 992416160; 893761116; 927075915; 210242437; 976663697; 449165652; 143148826; 330276275; 398638630; 871274235; 277540341; 433223545; 651770020; 876795154; 502620262; 478040576; 450215153; 915149601; 543408502; 616575590; 390433334; 411279091; 803835966; 765330182; 438212596; 332838317; 466967006; 394341182; 768988676; 225677251; 137270347; 127670475; 610130485; 639472031; 635674871; 390212380; 12485352; 622187778; 617482464; 652298865; 465384255; 460162739; 584114392; 97285133; 883845596; 693332518; 76153751; 29249933; 407775489; 97661218; 273927432; 523576585; 92372540; 728901884; 53442047; 302098902; 873516552; 62054711; 583199284; 704158105; 152548846; 429564522; 645024331; 794800908; 78913986; 50009324; 657223707; 736821736; 606003002; 726927743; 712736290; 194261012; 494447223; 535190135; 247273706; 546682767; 374207489; 903585543; 915737374; 939201144; 234556060; 533951387; 771962919; 338718846; 986423039; 914370398; 95226875; 382336949; 662584847; 340269160; 248483354; 470967788; 728725968; 466934241; 534471796; 881692013; 230479545; 379904230; 338215243; 318656702; 104883052; 151730952; 976975231; 232155713; 951198518; 918100682; 214630368; 428286483; 414528801; 245616516; 908239634; 521226205; 782086579; 427397355; 392020524; 581010240; 927524606; 349401164; 285354569; 448537013; 823975806; 382465002; 250506950; 798808150; 382346939; 195562197; 695408241; 802782773; 729343268; 293596838; 70500571; 668781903; 545348230; 144905689; 804091690; 150655098; 886698831; 75267747; 893576917; 559431529; 191975545; 554859536; 18096756; 746567288; 125928704; 891605013; 576033663; 925356268; 663638119; 232189500; 818532107; 250516720; 2315464; 31102504; 707670272; 310341594; 468510832; 551110480; 574870655; 925544507; 681616496; 788333896; 650917473; 560758297; 111569264; 842255575; 913646817; 578908689; 292256582; 171018668; 975170407; 312508217; 411612946; 331241059; 683106522; 398612112; 625199426; 896041541; 539673152; 635713515; 475876707; 334446047; 359693198; 755502825; 41100554; 786137207; 958587167; 563951019; 716000312; 812839636; 278627633; 840763795; 882821823; 972791859; 307224842; 901776573; 624051381; 827757436; 699068299; 854683094; 371241394; 951529260; 496597412; 652637482; 837431147; 21089965; 464838134; 779282536; 671006485; 192804425; 206055930; 23760205; 866740682; 49268483; 95962094; 864054022; 378323558; 734400464; 526969275; 584986917; 271694321; 580534194; 999651458; 488350207; 499296925; 56805446; 804747564; 363322075; 924916630; 902066118; 806215172; 664353061; 518292421; 888068686; 417505305; 86879959; 823666649; 411448204; 705993118; 488981154; 281487532; 966416878; 493397004; 300826413; 125804414; 97381819; 127495781; 980710675; 909045092; 594072642; 26255185; 796553574; 229658923; 980835834; 55385113; 552352244; 77544969; 542268243; 527611920; 505971000; 913689003; 315615021; 508409711; 337638480; 467784613; 44917229; 414206139; 487301763; 914329243; 217899058; 104418525; 868450522; 362319724; 414706512; 691137477; 307146782; 571190616; 773203648; 652019585; 450483992; 519301802; 871180480; 988781748; 547079931; 990430342; 249640515; 525596923; 34467639; 240381025; 338572984; 419378822; 223803808; 325548960; 358936855; 535870289; 575861770; 403478760; 628770254; 357892256; 244624903; 972787366; 831875134; 902587738; 823944715; 202021529; 151956272; 190332948; 887414206; 583591361; 296985527; 545315767; 90659690; 277159930; 406159755; 835727440; 251527557; 872063594; 67911442; 673584969; 530013805; 5692192; 985643158; 717333278; 411004349; 186228878; 98796417; 250053442; 48520036; 87557258; 580152607; 423358617; 726471847; 751040013; 148127202; 283150641; 951782185; 881035141; 918658721; 9912402; 967779847; 674270613; 679091521; 868877312; 184081622; 85487207; 168163906; 43742570; 175603454; 22855325; 208993781; 697011379; 608820271; 4054153; 638860081; 273672570; 318556825; 7747608; 460275562; 20794958; 230991488; 849585073; 413749000; 571484199; 971503507; 717070807; 526306621; 530781114; 620042413; 767408866; 453791715; 980701857; 792551934; 964148491; 499395853; 54938896; 269260165; 609427695; 460154009; 353229187; 933838952; 664384635; 200517290; 377617089; 144024476; 519946588; 613897340; 954950376; 508670024; 885319998; 903814716; 845574007; 767394457; 53131253; 342219644; 364942629; 221536513; 919395927; 31803873; 794980982; 946404374; 583408458; 81178689; 118668427; 931395896; 378845780; 973901046; 632923313; 997644144; 772294835; 332242413; 90101407; 706782441; 539285425; 949776958; 497701956; 187777411; 676270998; 325571627; 8326525; 945082073; 909756032; 304066075; 713957548; 321399845; 847307861; 331772435; 963028581; 484807615; 984999567; 202765612; 452177476; 332204325; 884732606; 611112184; 9850400; 551548985; 685251216; 555285594; 883457801; 153418136; 234993980; 435263449; 975418989; 131540712; 385508001; 378711013; 727673122; 768714569; 322502371; 792857983; 248037118; 697011317; 547403462; 522913563; 120480094; 405109714; 590791712; 133358552; 685587018; 798066848; 425520757; 638827472; 607013511; 142175604; 388205612; 767346163; 451761201; 801702887; 478728656; 819179457; 292195712; 679610881; 493541232; 644331909; 441597279; 337219090; 900097079; 481153362; 630860432; 778453696; 869440448; 391946963; 593701412; 543396509; 358964674; 173370410; 543704719; 38355573; 301530953; 866667815; 63157013; 340935639; 505001734; 181053759; 163238927; 446868792; 954887345; 920286183; 746739353; 18940541; 713138023; 458201345; 11166433; 116204699; 664340479; 632396386; 177838138; 237644222; 578261215; 223816276; 157440659; 771911423; 713061115; 358919920; 776685360; 487960649; 20317843; 106890020; 333513885; 447246279; 422561916; 622091557; 225005129; 45404173; 284174910; 947941571; 530041397; 604580418; 398913041; 728114544; 522742294; 115220267; 765779093; 133446011; 756417943; 933282946; 140635326; 81567016; 238395439; 917990043; 703851877; 104862581; 11098374; 722513684; 571239269; 957598268; 972362108; 291102674; 738343250; 921522583; 843651269; 20189671; 790878125; 231311449; 740981445; 669295367; 572105219; 291246871; 44530129; 562831038; 14262637; 943472897; 584458912; 861427010; 919213068; 881487425; 62973032; 297064923; 633602006; 478631759; 550813290; 928770358; 662131849; 248287420; 433549757; 393587837; 234998678; 752143347; 979282197; 368654312; 400019443; 626652166; 288943967; 689834202; 666695315; 134216473; 610498122; 833801593; 229089647; 223659368; 484876607; 737308125; 167331058; 2689655; 93837365; 820236228; 783976727; 662711567; 801221856; 687170806; 407682837; 762801549; 157711360; 603871847; 339062317; 888125032; 906029490; 96197535; 205413627; 592545252; 268473841; 937762336; 750949359; 352280553; 806689058; 254844734; 88994820; 854849203; 872971180; 594090493; 490010431; 55917788; 473216152; 465756527; 163349034; 644799571; 416519307; 375156043; 741838556; 379745065; 690953888; 977580942; 606609922; 388704608; 322126696; 28911393; 562662762; 500143428; 809198787; 850098402; 148724182; 992368927; 299830765; 897424341; 228370891; 452279774; 855816199; 485105739; 625184121; 379039627; 575058232; 109892165; 888409911; 773238494; 381458138; 383746535; 763613211; 520180524; 759567013; 634690389; 310172663; 935801492; 718550637; 553653134; 679350549; 852495699; 41625283; 641814388; 926957733; 881838740; 456547302; 13397495; 520292443; 65317694; 771970046; 854120390; 901903908; 117623581; 278439108; 113587513; 270953501; 993171619; 938482350; 522051783; 268924967; 881206070; 212788268; 623853297; 798079608; 728905124; 966867770; 653712715; 615806065; 795651943; 118287697; 920052531; 261273994; 62091991; 547548347; 489998096; 171901713; 772342113; 959901414; 901273571; 349719849; 219990792; 700707398; 996236165; 278344350; 491780541; 728016075; 427521596; 324362233; 917926331; 258085224; 159942096; 802550481; 825716105; 84910421; 122441817; 436090365; 83166638; 749019528; 573553918; 104419005; 75025930; 694761218; 966965884; 387883452; 167311476; 811897347; 319129981; 984641182; 907021698; 776076407; 197537342; 978090576; 761447549; 425576184; 474092657; 655468963; 896711906; 31572034; 684794344; 632421372; 463116386; 878904101; 635188937; 341867016; 856540560; 610488376; 983768268; 16263096; 259694215; 177833665; 284935782; 829415587; 319451168; 569073678; 653188276; 351101504; 853253948; 173822252; 528072849; 889902390; 448101099; 489777915; 840481977; 630598964; 710639273; 195123964; 463275876; 491155533; 803125050; 220326319; 653309921; 368398013; 68486994; 827128292; 637608161; 717465097; 528303845; 268174628; 444799650; 931161428; 263008556; 825347740; 551567512; 121983096; 671589573; 661147931; 812070403; 391623281; 736832370; 424696971; 781827588; 566216038; 381402339; 662993172; 929685843; 192627161; 701703925; 287745536; 945450170; 102258012; 255829065; 7084213; 746777427; 549739978; 180187950; 816845704; 687294428; 888707155; 142588470; 762783366; 533326098; 478013756; 60939317; 662187761; 862426588; 466826249; 307450041; 621348185; 666156624; 711982210; 803667115; 667661955; 407380441; 319134879; 262803522; 779292048; 691414739; 453795529; 185183224; 954267798; 50548190; 584015291; 980969230; 400542442; 325597488; 935642100; 675168157; 404704446; 288388001; 631686508; 938695631; 389010170; 391489883; 726728299; 592216716; 537965094; 58586436; 388157076; 634544736; 181304873; 866828587; 249847758; 322858583; 133386536; 252633891; 848677142; 521699944; 588341256; 543261652; 979056079; 455508066; 361097841; 216635854; 320874688; 564222478; 552897293; 419515191; 125672440; 872206381; 759851135; 354306216; 597501212; 895767051; 529930455; 743338121; 673362889; 375021403; 48536164; 141462549; 85045283; 884590894; 834559591; 338082654; 891070452; 916638082; 951407365; 797181877; 225226424; 439434542; 591932327; 325814969; 906667475; 923862233; 573714027; 731389616; 573886343; 594446920; 224856828; 400736358; 791856085; 278035343; 459227454; 792371041; 471789939; 110992585; 154047603; 508003729; 250813748; 964103054; 863137741; 33324003; 571348238; 467501696; 202586164; 758804365; 82508570; 417390468; 842610768; 623781048; 360302682; 842161036; 597570129; 40027034; 860727515; 76857568; 754751043; 219115752; 901365375; 947402163; 737369877; 401992442; 229228894; 597137333; 931688386; 49622922; 731847144; 207783437; 243080504; 439566037; 784821628; 109312345; 558772056; 670651134; 589921723; 22254415; 741268607; 825859882; 772662894; 596909991; 458658915; 818481332; 830802216; 792698265; 591132472; 599734235; 399880373; 895355031; 656516135; 446936339; 169353727; 221224938; 869146455; 902468500; 870981528; 110409262; 236476847; 262526291; 425101717; 991118799; 913362798; 815818651; 236952133; 988782751; 812824170; 134394647; 745971341; 819239796; 916874668; 854451534; 906936027; 610941815; 517493644; 120798904; 95089714; 78799980; 698210024; 574110888; 242834266; 225748191; 254466190; 599460372; 824037415; 129714838; 847462667; 502040870; 72019134; 210079352; 165059810; 876762586; 162042041; 793366073; 966247512; 692893842; 451893178; 122182544; 287677080; 580883055; 196477145; 439112237; 173659486; 415086380; 205220987; 112647149; 565031370; 223629393; 841097069; 432554640; 183807016; 268259717; 571117268; 812545508; 437380639; 903547263; 783985768; 942794899; 160694689; 897207651; 876265941; 301848581; 255264567; 335584090; 655852543; 688162120; 18306602; 568075118; 616930726; 485550977; 425585628; 275470197; 913879936; 435972471; 159983293; 533340679; 729496771; 458057177; 576671402; 247562747; 824210776; 408473047; 658948385; 707039292; 367979994; 952177254; 757249518; 420237467; 445927227; 325705065; 733934771; 835100696; 827273144; 303668891; 392461534; 505284772; 242700137; 226138503; 767463947; 949457019; 920563077; 883719131; 362525556; 375621650; 933735471; 149734053; 665079249; 882328189; 71246179; 164006904; 270767265; 535370908; 550191323; 729885278; 557141923; 792593163; 805290206; 403226271; 23108664; 785677141; 844280792; 363960080; 75847140; 612557903; 815290982; 262430372; 287784928; 888532659; 287191639; 790988975; 709363160; 283304652; 307957217; 453694100; 184872300; 49855762; 908429056; 447514682; 611037119; 827737832; 114528571; 706407670; 710655675; 802588033; 142673907; 379498106; 729083146; 790093890; 728623439; 363730713; 423684512; 171763897; 656840705; 600729280; 901426624; 359698296; 150726857; 726685229; 475205746; 38484880; 179917831; 543975251; 688207973; 36313145; 652600748; 51819706; 995820544; 368844646; 350843564; 576253806; 633899454; 586668023; 412665036; 808026104; 919635248; 894843830; 85152845; 821558769; 876755084; 790674639; 430171016; 790037234; 743229417; 575340275; 312358401; 893655508; 671335731; 939662597; 348539828; 387611530; 88454237; 936164136; 879515170; 63965561; 741415701; 44280574; 545580662; 203641733; 394928252; 49421583; 763411654; 521799677; 171393491; 686139749; 208953092; 158083865; 104221217; 868004691; 192154689; 222063632; 697879610; 576095039; 191550054; 909872831; 873255000; 683790670; 167536497; 545085508; 984763988; 121030243; 301674566; 223115685; 328452844; 527723331; 774593755; 311253153; 674289385; 720231876; 63321085; 612595161; 130286667; 806989113; 556443607; 817211446; 72220580; 520755524; 378319988; 372159221; 235378434; 478738937; 397284608; 845432315; 470635937; 489273239; 453012727; 401907922; 921690863; 839158900; 943065254; 781063736; 563563585; 224945383; 322268329; 242504650; 275517228; 270547948; 421911587; 767684920; 471525355; 837752351; 666262379; 832700365; 376200079; 679571707; 753931353; 346912442; 385949162; 534056337; 712333120; 933092909; 835758701; 932508884; 112983277; 88794717; 964026498; 328655242; 285410454; 294776892; 202003380; 176088957; 766926270; 711474037; 244916578; 533225397; 842931038; 649309118; 693142946; 471745433; 379887345; 531102516; 919623947; 879631971; 997438016; 157906821; 625439833; 448718219; 13683975; 414344707; 23589681; 475146074; 199217227; 788627261; 600784885; 177430038; 595320824; 975553306; 124989643; 867691499; 650140017; 629582961; 738130161; 825121572; 590689557; 121458764; 258219544; 354890347; 290241887; 3138117; 337130538; 19451890; 576299177; 368399207; 738615294; 471384283; 956444558; 380686898; 11977038; 262543578; 418318124; 781964223; 629933779; 543544763; 38975439; 746014229; 724057664; 832235415; 895853974; 76565648; 718049671; 433898898; 645706164; 532431891; 28274948; 876549332; 36252375; 584045688; 510345333; 175810628; 256726802; 796815549; 121822906; 11274347; 781838977; 55621720; 824912596; 786604426; 797891516; 222245143; 720203127; 831337905; 509653659; 565854320; 185788683; 386906924; 282826983; 851027280; 218727515; 197675225; 594819179; 851649835; 16495202; 785025364; 131598987; 301333809; 102017050; 64051170; 144890800; 890727031; 682127258; 184742615; 56982910; 616827047; 853119399; 345538431; 291347702; 894283924; 652034538; 747208012; 15624009; 125752169; 739953843; 345231844; 344520022; 874773586; 459676952; 662851448; 873339592; 852381733; 444891814; 680682145; 406318085; 395495536; 606325604; 524303837; 560503643; 484215281; 882742965; 666637562; 919962134; 80793925; 82334712; 320954554; 527440876; 728987451; 279804612; 885541843; 271724015; 436504359; 497927961; 831838451; 547512111; 599063249; 487312450; 861051116; 463268542; 996461453; 325124005; 501773635; 76722283; 340444839; 606528514; 931197942; 711521557; 630653238; 126539963; 469650694; 945445627; 320035575; 425925332; 974369893; 646309468; 780207211; 888904107; 454218914; 437377026; 493158433; 36092513; 203429830; 599620780; 720818713; 377414251; 649305598; 841605345; 838353421; 359036333; 821959276; 12955601; 536792759; 951245309; 531945672; 729802359; 794472730; 25335565; 384893628; 262310254; 178458304; 978420882; 27489735; 191721741; 696201622; 194688465; 901057268; 274766244; 39851636; 255066715; 317286431; 412001350; 563575169; 594006816; 864622826; 777891598; 355937196; 768261056; 956465993; 573578026; 134954098; 407033878; 367544548; 323785844; 966383661; 456492882; 926040870; 266950291; 935865430; 568612772; 813707782; 640256330; 440051143; 521721007; 781954796; 819425596; 835874200; 51940350; 623809231; 121347887; 111813647; 76001019; 536716255; 444323693; 646610971; 836568729; 631301826; 23998532; 16440822; 903832297; 414869840; 991768258; 285966840; 996757943; 951218600; 613032314; 353050737; 85462660; 412787115; 908033047; 710316452; 330655209; 683873045; 722753185; 326646564; 468403006; 906602549; 457856828; 668508206; 26014085; 546050243; 233423601; 923924298; 805829845; 546670894; 231989978; 8711537; 147251693; 674683999; 389608510; 220715603; 837648626; 760386690; 660625349; 411410566; 450984772; 64514444; 468939755; 66577800; 944977182; 183875028; 699157303; 828678253; 727027552; 565007934; 969628529; 476115626; 989814368; 991051404; 731849295; 993944394; 878381490; 183984090; 410385222; 450223598; 411822393; 216965858; 137791210; 571991481; 708502855; 29089559; 403730235; 11986006; 501898830; 375785879; 841669744; 448083530; 131989282; 461238264; 516415421; 519460779; 887938980; 3495493; 598508651; 514407038; 701451757; 516835110; 105458796; 373705855; 162684286; 651715059; 934966223; 672370680; 764556048; 690185688; 67257161; 194541885; 610581021; 200051979; 921454650; 851787851; 181910320; 957010903; 188845968; 833531053; 268583857; 405455784; 908688542; 177273218; 546526975; 845638271; 591756491; 633815217; 178214016; 14265891; 645675617; 493404115; 625964556; 819798271; 147305242; 995041124; 418637714; 691123702; 311039906; 275129064; 298199244; 713832761; 455934675; 484423812; 217738686; 521348172; 865461581; 452931521; 694958785; 44748928; 216759046; 481993820; 856768390; 815443337; 68536034; 203817794; 736264225; 791839257; 63590536; 206857488; 544764877; 172743072; 319182166; 441052157; 462435620; 726817194; 489357249; 418502421; 839377398; 32587524; 702668383; 137877931; 64221325; 833038651; 662887587; 499835202; 428679150; 246794417; 84964988; 911083466; 572269010; 573118639; 412448643; 674435910; 267547738; 436841942; 609716018; 824615141; 543321984; 926191543; 370140913; 916060299; 110197790; 365926104; 211350324; 677109124; 776937691; 744476864; 774889902; 417047081; 256813403; 70398587; 904833308; 616581288; 303024991; 50178569; 788164336; 364188977; 688594852; 566925941; 29353042; 590958534; 841036030; 389522266; 252285036; 592069387; 762178817; 258416024; 199887122; 438043387; 123777593; 246668894; 248245465; 689113350; 86744162; 85589464; 823986334; 59408935; 105699441; 87800880; 72308138; 393846139; 420624912; 681292058; 438096673; 561906248; 565976040; 421431768; 994837910; 453728236; 101196084; 958882570; 52820605; 182668073; 638430450; 618828566; 399559015; 688191431; 390178168; 340003950; 476573910; 522574851; 836089563; 333074378; 324108492; 927235391; 500491144; 26744424; 612843701; 121319743; 45772115; 127290836; 818301469; 120010291; 217040351; 663734849; 400686147; 268249326; 569654444; 857825258; 598286490; 181022445; 553504842; 694120462; 292441257; 667967145; 726030183; 627684362; 696231028; 182838129; 239464817; 421077508; 497383119; 331610908; 549202390; 373211188; 62567231; 404926127; 487463714; 620440535; 82901602; 67256074; 596598392; 728218619; 26843579; 240656053; 572867631; 454273257; 216793540; 444326906; 212138938; 57504998; 811413926; 92661697; 457952632; 197075365; 273338380; 981537845; 916392440; 269095157; 623787382; 582957835; 922589129; 61928253; 41695983; 1114867; 250679260; 511779644; 730026107; 378077782; 172305200; 797307182; 523280129; 237726864; 387353154; 553585371; 492929990; 731747894; 863945582; 210451014; 787308760; 60781888; 367380687; 984946566; 171547266; 661907950; 671983401; 939820637; 156539808; 386740173; 957444264; 325857058; 375348966; 671100344; 421549191; 764640387; 875660594; 633106432; 865383519; 69362146; 719437548; 59701427; 822580802; 865717551; 925305673; 167146175; 256867287; 445669235; 145356981; 339576785; 934448516; 335618299; 91905052; 848074471; 697804651; 93273269; 790564224; 645372726; 802645298; 108382971; 155201146; 62607326; 602632386; 595402591; 135110497; 661706533; 230084566; 68450496; 961603770; 645923521; 968071887; 168494170; 556377909; 35768659; 214395511; 111483472; 527013130; 720750565; 619754423; 186741927; 832469848; 500835367; 387099367; 160572033; 830972679; 917589286; 485132922; 525669363; 146108926; 501200552; 848856070; 944911877; 41320991; 740802817; 34263051; 683537959; 758721221; 175349198; 896338757; 29542943; 698534678; 900489480; 867408787; 669852482; 981863278; 412765195; 809669110; 903236530; 311136801; 222469979; 435484726; 266583447; 599427229; 464835329; 529964144; 346530450; 714531073; 180766293; 272507684; 12326671; 628465850; 617929109; 323504512; 25151034; 877664480; 702805651; 798898175; 535037559; 24018663; 830235064; 538354595; 361428759; 901306445; 186889656; 4225109; 205807030; 167470521; 80476365; 828323175; 692448681; 642142864; 307814215; 588515187; 914011589; 738424462; 873661535; 627404931; 929041157; 290513802; 761568193; 10068165; 589697962; 645327983; 357162583; 838765122; 462917779; 755819420; 882971405; 438833273; 215252406; 947754772; 125007745; 51097910; 581049060; 174432706; 60075501; 617803332; 464634162; 53099501; 920456699; 154635616; 465764304; 160576355; 544991070; 186582452; 872094083; 324841651; 616155786; 629112067; 877637680; 94023552; 356049186; 451245670; 190790189; 605092789; 679701044; 974830731; 237255795; 338489080; 453242826; 594967835; 298531523; 912993547; 704987945; 830014409; 959237820; 459085732; 908445843; 807377552; 112789383; 163974574; 539558358; 645869; 750998792; 795475868; 981891869; 365954921; 880369623; 239145581; 243106408; 937791534; 46110232; 260625061; 361794224; 930746; 245122342; 441199986; 243894044; 678757670; 68586219; 750416153; 751141691; 329052903; 821860449; 829444684; 29693029; 688832897; 691139994; 347223014; 321793030; 514653202; 453022866; 210198295; 262685712; 324841065; 706988967; 129807372; 163422061; 393923969; 818896122; 624517716; 59543476; 739211050; 118838014; 162120268; 622846579; 125867963; 946202497; 183496950; 31822624; 86349448; 620634409; 772342210; 413854534; 153614782; 389676165; 782796790; 197730536; 937255679; 838792560; 67287703; 257415278; 756979081; 627457375; 505270324; 431700759; 830128922; 183669594; 445702379; 894305854; 366063645; 195167758; 70277643; 913662365; 134682345; 831620747; 580932227; 741465076; 229994073; 850804745; 723717532; 642975915; 120661234; 945710673; 108632737; 488793874; 643120305; 861092972; 765759497; 124103582; 920128940; 705375243; 920685752; 753535693; 932287984; 999102595; 954687811; 495407980; 792562047; 824515692; 526241887; 265163648; 612663937; 444786994; 554325704; 393591852; 821127317; 269053297; 365833617; 217320469; 567081368; 748909615; 412709665; 367092944; 998873345; 569835350; 591873895; 320539428; 12454483; 768030958; 272479635; 814672512; 667440675; 60545536; 917626764; 578864459; 432131283; 722760715; 908911502; 386289416; 230321430; 685723160; 455675853; 437956393; 263440707; 633473766; 840675659; 194529518; 355199194; 404396595; 3603788; 800809369; 508391764; 454563511; 508110572; 843014338; 811609364; 934810003; 177725969; 134707752; 344283825; 706085827; 449749696; 467644988; 716082576; 752597010; 7193781; 218523565; 164841658; 655831076; 769262783; 133194128; 795771984; 914223292; 617395297; 753186711; 488123938; 618343519; 528164610; 321548360; 720484468; 925709297; 874274609; 589732866; 25397614; 986913681; 625137847; 608564551; 893673748; 347484413; 379555863; 177553010; 911553260; 980874415; 113265970; 903262038; 149600616; 690992760; 152326329; 374428129; 850800373; 144085669; 917176218; 374902943; 62186563; 563968478; 4330611; 783591821; 931629303; 436163114; 364705501; 383699549; 602684152; 228294784; 997947927; 687390735; 86403932; 98334099; 177185374; 889652031; 217362800; 649662572; 641553204; 598660200; 404650098; 303319951; 251936194; 962426474; 396845082; 162343561; 180327436; 882460209; 252212540; 33829521; 639687879; 96724652; 922410073; 13628354; 667765117; 315921120; 890564693; 702631041; 319629722; 646512983; 224748565; 549115954; 99692988; 86630230; 289171046; 463986635; 723784171; 11259204; 358271790; 24407235; 879636298; 641248512; 688766517; 371100743; 751872178; 73944537; 928046837; 608167410; 710884031; 652016251; 987595300; 840420618; 658405832; 350381980; 369989755; 496368091; 318703417; 617461100; 678634988; 199360577; 960013572; 673454490; 875357169; 798494933; 295433961; 426809540; 676724444; 335746689; 669019441; 322346126; 414864531; 799753725; 278939891; 508133097; 423788982; 302314442; 722693003; 621964029; 675908443; 247956675; 245998457; 536814741; 913610629; 785983095; 410716879; 101798046; 291596284; 456638102; 513378448; 410535089; 795320033; 680786764; 664084541; 804285919; 569022641; 855669673; 399181849; 807078001; 227291187; 544922341; 3527604; 208852589; 397372278; 566624113; 216115979; 528444227; 536927586; 539594583; 678498118; 214991011; 819622142; 94131597; 257703788; 129180513; 162947759; 156607852; 631432639; 22634598; 279475231; 218668421; 646254675; 275687956; 536640694; 564137330; 263110389; 495342344; 737627840; 537865287; 352125309; 985867673; 419037676; 522886675; 621832378; 25593453; 752597712; 566402029; 925438872; 825690200; 817733707; 984717621; 166670242; 891719795; 232853254; 217693992; 75758252; 613727926; 990465848; 721473483; 56327740; 950678343; 977675639; 434207424; 691506444; 255850776; 508396534; 672311043; 705875280; 117690340; 756716768; 5316521; 433033595; 776976447; 809203818; 276176411; 886380803; 341583557; 388069919; 933581002; 852868788; 200257573; 801663182; 806063295; 225891685; 218688829; 503489218; 748806965; 22761385; 916319932; 612792397; 570189069; 919870057; 537691610; 261238715; 171963578; 235147452; 622094326; 833343137; 918544191; 300757201; 224132407; 657216833; 979346839; 729024682; 815608944; 250962493; 243796542; 398027520; 61940752; 650478887; 965018879; 254572269; 32721121; 326707981; 282632928; 413832830; 492469841; 966602313; 409503860; 872764787; 514267941; 841826792; 159939592; 171262920; 401251692; 2927120; 48966683; 129526315; 623142147; 738666031; 174804882; 64899612; 108936370; 597661636; 589851418; 127858515; 194069959; 304694501; 216939833; 139854844; 926971059; 276353220; 173945902; 771115242; 180066803; 535374189; 185969706; 50889914; 879123992; 365568257; 14674608; 3473797; 610478456; 333482726; 432014471; 1273434; 853082332; 322836879; 434896407; 611251700; 263092424; 502357838; 405224787; 437790842; 190499856; 145616760; 693454353; 732699847; 467828643; 47606982; 428044718; 411102847; 402602090; 982228787; 851909341; 242479192; 171590810; 303983445; 555338218; 447444989; 934103858; 97646685; 71888437; 130004725; 288092227; 967611541; 143011683; 645117147; 143218506; 978431691; 528229826; 342712351; 178109168; 429381945; 753284384; 92863914; 261886235; 623419893; 240237511; 900334790; 793758285; 457978620; 932142801; 762680086; 11987587; 512608877; 918950076; 259229468; 4269494; 18636948; 981401179; 610478119; 587584239; 521018094; 219918277; 16689753; 721388050; 71759491; 320593534; 741021241; 904612988; 671318205; 543258285; 391331653; 815172969; 472921113; 6346250; 678906254; 290864507; 407088931; 176655634; 914380929; 989063993; 625326351; 999322534; 196634858; 768110196; 512516311; 424034367; 168477118; 256112883; 14884490; 586866098; 687791858; 405865236; 375672305; 645886450; 648964249; 644570314; 570432063; 59969527; 751215459; 149942451; 900143297; 267946075; 79003680; 78954313; 851697499; 137511671; 621142115; 956995256; 219649249; 274497951; 111876437; 493186739; 739045751; 639994381; 795984602; 128249865; 386710230; 657936151; 424416886; 312772318; 389014079; 110640604; 525124576; 700984094; 358561022; 245819481; 573866636; 257871186; 960956923; 57505209; 577992488; 277420464; 308154006; 295640489; 510538676; 920942945; 199991785; 624153999; 676951952; 234694175; 340870474; 941035516; 12773744; 48633577; 923790333; 752525124; 805272461; 160782206; 394886702; 917887087; 63068328; 437845662; 236321443; 165195041; 387761917; 35198204; 168214652; 393934417; 546512767; 692332211; 97362754; 775684454; 659713849; 788558770; 163402131; 90240482; 432864080; 264632347; 991211129; 279488562; 358062039; 218893220; 779467430; 180284379; 902311527; 665882660; 620432408; 18369784; 760100541; 299054059; 432021504; 736340526; 871394383; 788191197; 880234839; 82036064; 705365916; 394490858; 862915693; 745709807; 701934306; 802081418; 889452076; 963389145; 754964647; 927895661; 165444774; 695416374; 946563794; 748314161; 662511605; 68350130; 897492627; 484873890; 572547657; 433591110; 537404517; 8930307; 343976210; 345027127; 239344496; 975080239; 909615971; 629921575; 869964224; 337428328; 823093952; 470413175; 527974137; 718395215; 662563287; 533656378; 542646973; 802527755; 512437800; 7370941; 261042907; 653417425; 977352864; 863707948; 328621446; 142179202; 740483938; 510524022; 797405983; 363586804; 431824906; 685147701; 205538480; 452504197; 809152966; 646251349; 727154603; 519547909; 715081597; 276967386; 50967279; 978373903; 219779023; 729561001; 85869024; 794952971; 269026989; 523998565; 519637660; 663291263; 521052753; 973690533; 925467424; 156130575; 155729748; 501194945; 761710471; 490306437; 482375260; 341733568; 693700167; 725031766; 676978737; 269850694; 816961906; 934893082; 122337432; 469953132; 775097950; 561440860; 58846075; 706282037; 90850140; 917133798; 109777365; 901974525; 490546893; 653213923; 901851481; 867767630; 272368428; 126231383; 465644620; 913062305; 941917230; 813578086; 273255769; 582694848; 192332629; 344819683; 250525282; 579009455; 430937118; 517163278; 190041094; 461307340; 787521347; 585137159; 102974346; 143318033; 894969852; 61658639; 818092790; 876268755; 44451576; 559789603; 630559381; 37617890; 356177275; 841647678; 904450401; 931163947; 831620571; 885112093; 92193298; 500969105; 487642887; 427538956; 540751137; 294075643; 771338686; 311351767; 870485136; 641027057; 532279596; 695908849; 778194104; 667095749; 77535491; 207104965; 209443874; 30031781; 717760350; 609373516; 353286757; 723191694; 146260469; 489347857; 899936; 213638022; 985606489; 329189595; 820837652; 432651145; 939872314; 759419820; 88287126; 956966224; 394486643; 241428064; 725317802; 486194627; 835910089; 8680988; 182249958; 358961540; 708956045; 790215528; 879554115; 578400923; 44210669; 582796462; 165248660; 713817131; 220960570; 553315157; 757658885; 982213327; 393312568; 242310564; 795132158; 748349050; 697538798; 239949498; 160232751; 734781060; 556810288; 829257072; 687299714; 683957020; 989129975; 398165312; 389734499; 19745136; 658684268; 98406648; 392316027; 751727186; 539789671; 867754015; 136338178; 45098410; 493919460; 880412635; 908839631; 68541610; 850829588; 161979687; 559607904; 903921977; 345088433; 282248290; 471747905; 259658888; 520220622; 981066934; 209079755; 112504652; 16093788; 979256450; 356885980; 426828204; 802465207; 870847467; 934419962; 29420639; 290873438; 146456116; 887464171; 357931820; 566193341; 617575147; 393824865; 21751288; 227814911; 858772843; 621356981; 684219472; 713786108; 901731410; 452251047; 174504418; 541341339; 886326836; 200861074; 506473117; 162100235; 308738157; 88491141; 330288708; 206700698; 303912371; 405859863; 110695475; 220420623; 295253393; 44617701; 658202902; 332688958; 158248932; 643817926; 514380239; 17642907; 226569319; 248808722; 4124113; 606501387; 151576188; 110968338; 794130320; 705786921; 560128040; 696165693; 432481241; 492208462; 751204449; 283988997; 434542204; 824897372; 250578730; 527863486; 915661097; 71820798; 790170193; 111157730; 985009033; 668875383; 816009052; 734711662; 894920468; 280606616; 662480191; 108971381; 477136419; 551371481; 22980783; 806162148; 291496873; 431101647; 731808966; 507910995; 717343915; 915495267; 347590091; 753239236; 852607987; 930382917; 556861755; 270278658; 640230343; 744474751; 362002120; 46813151; 489175389; 156539550; 814085263; 31289123; 53845746; 553318934; 487255480; 635412403; 834325433; 958515807; 797397503; 102484201; 709357917; 691127437; 481405393; 660874147; 181971204; 720766279; 547917393; 924722500; 338545716; 890200052; 745798892; 145183727; 692383843; 893069267; 698884197; 995864521; 595393825; 602740342; 799091808; 814885145; 719603689; 284750790; 284560647; 798144898; 998847655; 919751540; 428391078; 187937562; 476646851; 377478797; 797943658; 483199957; 815000823; 97680774; 84777375; 924293932; 735115891; 29944539; 235831710; 690854673; 70883147; 844039430; 693849277; 369194790; 98222089; 542812568; 443981270; 576327902; 987103331; 79889479; 817090697; 74869731; 771210110; 600299850; 158237037; 566783777; 782121298; 633219692; 535423546; 781142942; 603777085; 378237354; 236084850; 655674055; 477570880; 187522789; 481505989; 389338535; 960280140; 142704753; 960928171; 804437123; 710201614; 612319618; 948766922; 959482242; 410649151; 62677912; 916145054; 131107891; 550989602; 751847784; 980476045; 588406680; 771975257; 51516379; 110374575; 29796756; 752719837; 620818363; 149645833; 712385518; 734374589; 154228; 691766016; 407967856; 989534103; 112015936; 317787084; 213668328; 528304764; 912369352; 450416891; 73237672; 497999433; 285869714; 897823087; 365293092; 618151015; 915128625; 951268164; 729977529; 610300570; 61817493; 610449571; 341210808; 29026066; 133893314; 212617928; 499188278; 255034836; 784790342; 338056706; 831471416; 936766645; 732606666; 20561275; 462335191; 816521638; 934357535; 154494685; 109014898; 992035603; 379844626; 684996526; 162190368; 814986370; 974285818; 804869099; 300770244; 137036807; 36592889; 857838530; 132889382; 926950932; 746175844; 217200532; 316892416; 49782444; 302282227; 613042195; 28496260; 214762473; 885230168; 816807074; 405808959; 157414329; 341488105; 548884258; 285483144; 736155324; 684481648; 319929474; 409387402; 737590923; 985830449; 848501316; 446096411; 552966811; 678840044; 669050279; 551901504; 205786073; 196618259; 176636942; 64283667; 291979430; 527758619; 332414897; 560470591; 123906693; 130361720; 953515452; 267628549; 113489800; 919535088; 586980595; 111045194; 179781887; 340790953; 127872355; 653858543; 485846402; 917483202; 723961850; 981452188; 466423071; 350498850; 39024715; 692570938; 6421070; 380511146; 250526615; 543577881; 138340191; 861355661; 355836973; 987461650; 556377086; 622740481; 648134713; 69921183; 739905578; 514977629; 871104676; 338943882; 891717901; 61681643; 553853336; 243078959; 978254674; 524720642; 308278551; 678520102; 679267389; 883891132; 994615313; 806124273; 458704280; 904074633; 699538884; 112053654; 93284301; 494983522; 665090215; 407705760; 220297722; 463165083; 706740681; 305964200; 506922142; 473986433; 435940295; 562540029; 497304976; 199614342; 601097331; 711766882; 193354742; 286556941; 380065048; 116809947; 946877957; 922925297; 161995026; 979490645; 408025462; 443907526; 124791822; 555842940; 694444830; 165974034; 254329926; 694157796; 321072914; 303257810; 607850625; 293479650; 207159196; 8844942; 473243276; 200212675; 553433213; 467995270; 406551106; 591413581; 188758696; 292974147; 976609005; 899474705; 563415042; 743412878; 48042526; 283939402; 372881731; 30005193; 938980886; 710844446; 105911973; 557997745; 877037539; 221599604; 468920766; 413082035; 664540390; 219039214; 497598926; 551886739; 139162884; 175001223; 580159459; 993804215; 693907540; 525284365; 614242397; 927787322; 766684546; 693465654; 402909214; 722308345; 416161814; 927929439; 234847340; 343289645; 908447085; 929694207; 748061288; 313072740; 761612202; 962348712; 684075467; 693893100; 189205540; 280479043; 316020210; 329353986; 890910405; 848165342; 929406598; 463478918; 236453784; 358843861; 599491348; 255188989; 853179461; 341528402; 117021475; 773947; 843733239; 495899666; 149009053; 582112091; 755255812; 65757627; 344054015; 131515808; 294763359; 208406902; 189078186; 149022417; 33401137; 895558564; 768231214; 382313749; 201492614; 951380466; 455759976; 264987901; 142690027; 442263076; 486671884; 444509090; 532975145; 44624264; 464693039; 31047841; 122089415; 459368458; 836762436; 819875814; 790302793; 891237782; 368140488; 165292350; 641222235; 466855335; 459495729; 651965948; 452004212; 593568153; 900335213; 215116167; 687740103; 906600359; 131906032; 743592410; 264488455; 895823837; 549112711; 56013899; 557661217; 452711924; 410608149; 505445269; 114160595; 358114158; 866665195; 65794416; 868760061; 965513848; 176012509; 114934047; 89304557; 830240927; 384742355; 309685530; 669270407; 910197771; 403556928; 208994172; 377930073; 647215512; 452729770; 543143182; 36803039; 789024889; 435906055; 29897488; 341595483; 624864792; 113207937; 352519706; 40574513; 872111443; 480677815; 65605089; 803635431; 298368573; 8343622; 725978615; 848226008; 934361278; 838751453; 695832720; 921134643; 431654234; 365161861; 885275213; 595056554; 954961288; 79085120; 344958830; 238963093; 334950351; 746306386; 307177173; 4525885; 856184585; 120471873; 941156496; 780328777; 869031764; 749324491; 858349244; 264320346; 322310240; 480817522; 578673988; 409187713; 942842940; 898543933; 245509458; 735700160; 716627428; 50824273; 131202497; 583148640; 630688290; 150450022; 823484729; 865867060; 247329511; 338175880; 736824598; 545222005; 163453148; 227443968; 333225881; 10310701; 61841256; 251614574; 395837721; 881522653; 476682710; 602494623; 975260190; 539932691; 730647053; 799135513; 781785282; 590756360; 194554281; 86434605; 641996355; 153578299; 789872657; 62176256; 368843314; 858407102; 536025310; 228071265; 282028783; 934609893; 228304583; 309851224; 471102166; 174284324; 68698420; 191358955; 385351717; 887632298; 497501717; 140748849; 565643238; 507398760; 470246012; 202282303; 71043943; 385520149; 835508118; 867266438; 949364292; 378290368; 794079736; 878824091; 494143768; 542509940; 55566299; 385422282; 996666740; 927234935; 990292582; 356591064; 366914656; 589672311; 835938191; 746829320; 816003570; 78683348; 249622411; 754148756; 732053972; 115755970; 196205155; 949219818; 965250954; 760501045; 167268579; 281921423; 693285590; 223561476; 205169032; 602764607; 399301363; 84269072; 861558881; 275676003; 352666739; 717050253; 888573667; 600442012; 313216662; 542722452; 289561282; 819282488; 815487819; 532719937; 480526859; 422053238; 732108210; 88405093; 422242743; 825873406; 838299645; 300555273; 86822582; 256591185; 419876159; 121959856; 426838771; 947848861; 172386262; 355559811; 854881314; 91640570; 586567231; 897084998; 723159500; 692237737; 109126179; 149178613; 180290885; 860816149; 138598876; 285972095; 957320714; 555036267; 260268207; 996207092; 438829457; 943469715; 225580091; 96523748; 162029198; 830617734; 640494464; 5706511; 16206384; 23280246; 108795954; 483238413; 45159600; 918476740; 782143001; 514873613; 782806265; 461666479; 958342177; 118681107; 855573603; 581781639; 174326156; 211285154; 570481437; 549801734; 651872294; 837243181; 361033419; 820712414; 803099515; 836715691; 230721231; 308528289; 978854535; 807434316; 66734947; 415207902; 82369553; 853054472; 591543910; 168295747; 320671660; 889878421; 855613296; 797116719; 726287729; 674142662; 53145704; 863716812; 997826995; 243547734; 827564013; 103628398; 317559969; 26025272; 856562893; 958779856; 345759705; 387359493; 725909164; 518974626; 308400085; 169691165; 840322433; 605404289; 121046524; 779414092; 368708983; 99769095; 287951829; 712313285; 628771854; 954344494; 199189490; 882758878; 282881422; 252875967; 311262976; 191118247; 800154145; 143111007; 818861319; 917369068; 266183317; 180820631; 760985262; 993756274; 760661057; 467293171; 542387065; 183257760; 971411539; 805203055; 808927747; 442949441; 950362157; 93296917; 949924395; 427525949; 685367332; 22399081; 521689100; 275625204; 478907402; 7606173; 157799554; 271008731; 804029538; 574826379; 280765977; 52566813; 102735920; 163342223; 668309017; 54433149; 900712398; 572778022; 473590410; 688463632; 433212947; 410411794; 609215475; 108349721; 707977132; 476680152; 836217046; 79428900; 161827619; 825941008; 833026936; 511948086; 498708358; 976644509; 968337522; 673415556; 558012830; 552011674; 744163321; 196899909; 598762724; 475932421; 495708404; 52631053; 654414775; 755024116; 985591367; 603176313; 789636669; 948000408; 193545235; 932073542; 98652849; 397680524; 553285259; 511995680; 921174587; 32907144; 994448014; 925783852; 434098669; 178338428; 80441921; 236119127; 678141159; 980761279; 338481519; 970300193; 183232381; 752524693; 47858268; 363205951; 41659802; 230687703; 282857444; 335729628; 427501640; 653305194; 505574468; 147577837; 32062532; 986391603; 326110471; 450649471; 282615194; 174492105; 229786153; 227345651; 974142529; 634630325; 730106725; 690489483; 29105196; 630958759; 39711772; 357284800; 535726471; 738205494; 623214106; 399998268; 638391304; 578076359; 324714283; 749838562; 759579721; 674929218; 437970607; 564795138; 230363780; 906940654; 423254862; 624511868; 870013876; 993968881; 967711320; 901392007; 957714744; 166260833; 913972088; 321728888; 545902993; 638674772; 924039574; 468469620; 936865751; 586413457; 994414840; 108567782; 95883563; 615478462; 873779928; 310766067; 754970061; 738633888; 220934679; 175021908; 398771086; 102209725; 634526549; 810051284; 507869345; 16858275; 382853483; 613566058; 92090652; 399708602; 784045261; 870549240; 90923564; 156750032; 603356992; 132984417; 565748942; 542338527; 288343661; 980936041; 844619705; 758723556; 339247193; 667345025; 507426094; 869101398; 404868131; 677526796; 725416468; 539125982; 188759187; 388046890; 350981878; 293509962; 797028375; 964454717; 867475818; 372988816; 508318785; 292682818; 268669537; 67108171; 852723467; 406759916; 767846179; 81919582; 601391241; 627329724; 980061401; 825673593; 706113417; 66264735; 723975422; 843390317; 668568376; 182779702; 541448239; 833786823; 347739122; 688638821; 880645407; 917574760; 906346305; 868138; 478754136; 42406185; 590186248; 730573708; 280942181; 208903918; 658236979; 998136625; 739597657; 788028501; 156241864; 792161429; 127708520; 271572389; 166084609; 382588377; 796552571; 727101065; 650373757; 422239303; 96761991; 153707037; 261125093; 906169327; 167743659; 340061944; 849673655; 147741599; 434281233; 261745985; 796220828; 206283607; 652510040; 535620442; 332739751; 444188510; 436851724; 496095046; 314180501; 120843378; 454921126; 123902417; 88890785; 319231762; 518958171; 631399543; 953623556; 655266470; 5448729; 649532546; 992884196; 998977721; 821259063; 905161708; 600938960; 366782075; 279229090; 933593835; 787261932; 891546901; 51482243; 835234209; 434764920; 674879843; 884017755; 687149907; 637366144; 301608849; 368748501; 112439951; 878924957; 830811186; 524261965; 905878986; 863044436; 91510487; 784139595; 850238906; 575186122; 392245613; 234155669; 113915905; 340851284; 144509912; 893064706; 51515140; 753866714; 247446570; 81234483; 964115931; 749074871; 657354216; 239226087; 262706918; 155039260; 227689698; 372426355; 797947039; 692707184; 279969831; 337910323; 21663850; 597587869; 555768279; 363340467; 396809600; 562676737; 442905554; 549987570; 956422887; 113542963; 922456248; 177455939; 345340143; 933105720; 210323177; 61441534; 706227319; 288427178; 562190330; 114088060; 866889622; 326801254; 144263634; 825325731; 879378382; 784319952; 362943412; 594476147; 790867177; 481931750; 31691194; 564931147; 1508258; 959131112; 756846096; 586889065; 273244603; 993826396; 926509266; 845094966; 276701431; 492474939; 926031586; 924842374; 285320568; 40331645; 206638165; 906828359; 471471790; 432966233; 562072808; 127551705; 219645077; 714288733; 942536415; 824127986; 907649246; 768815283; 283917909; 41221942; 861794227; 644561919; 537890237; 937134856; 971974566; 803066150; 369071167; 490461198; 265071386; 904163508; 814675247; 435107427; 803697387; 599487352; 880170510; 94803834; 159642681; 434198248; 3401228; 238663796; 447884074; 805262191; 65392435; 189295756; 692791808; 526055458; 962433690; 952196849; 1675302; 483120183; 452451483; 46164348; 750551604; 427524609; 783152072; 754455385; 858845175; 385726403; 191965142; 152123518; 990636071; 538328968; 47494598; 867502707; 496226511; 513023584; 743349545; 190024334; 520604629; 52117516; 949761968; 57681039; 54760992; 221357085; 68582734; 714694109; 286983687; 920279371; 667969047; 564677047; 952449845; 174213211; 14846302; 212111706; 655056758; 406829841; 739007944; 215758154; 162776217; 51297932; 564512516; 152357581; 46526581; 2306931; 537926235; 510826353; 947948449; 581757813; 80281424; 285068739; 726077597; 898075151; 75967339; 353669347; 821957271; 267532488; 777148657; 300424507; 120075797; 526365204; 224804874; 292931374; 429710185; 403571069; 355817402; 673695938; 886915227; 740318853; 203674484; 697233329; 914507921; 762846838; 483732671; 655752867; 343397312; 158883669; 399996953; 375143506; 685084644; 185027350; 853434550; 493596582; 736924964; 525355119; 868659443; 55914753; 145609268; 405164251; 337952696; 535615087; 717645666; 559904985; 669575872; 348949315; 419536870; 540874802; 638369402; 921986548; 561017311; 539392464; 585749131; 23616794; 571120155; 825905961; 846402600; 732910926; 788523590; 880175704; 901689774; 301433574; 14785792; 21839190; 895978755; 389018525; 775520521; 479684720; 412066529; 515224745; 919090512; 774518890; 947706318; 280967086; 897476239; 22756859; 59639791; 311308044; 790724392; 194915554; 131713616; 897747748; 172238490; 115601461; 935709744; 652714569; 860277715; 772561136; 731173612; 415333673; 792237954; 490429753; 379024778; 944705984; 300987292; 734404783; 679327553; 800469200; 596427174; 275596343; 931167700; 254589990; 554991586; 964940592; 190461758; 252034606; 266721894; 435635966; 868070939; 567075788; 474761885; 143395409; 114792214; 644688620; 707677943; 181694865; 788536600; 95369055; 939474991; 653613656; 450713008; 735389019; 428775457; 737826517; 977161649; 120193551; 124473814; 496197017; 316476312; 55317515; 763465291; 746271880; 989002864; 504160950; 656673795; 523902983; 163283641; 914573300; 279606846; 412345523; 749450610; 501354181; 562080993; 772080524; 861783747; 627999843; 999341575; 811163238; 856112445; 505787615; 69437479; 864850036; 269883948; 650915490; 178531760; 937501219; 784771570; 786304796; 306040005; 277614909; 162659272; 179290339; 387711436; 887618981; 804611884; 930750221; 763024974; 739767687; 880171462; 361412073; 99264565; 458232747; 582602362; 912750982; 567516444; 82078757; 780059042; 646839977; 977461642; 651155274; 934164143; 123145697; 125010521; 106097306; 5803436; 579826281; 36000236; 64076061; 20625908; 86017058; 441525824; 333092927; 135556128; 283116378; 488002015; 313621061; 399686117; 495479462; 769233686; 807619580; 955449456; 329377846; 574523104; 447543881; 74234038; 711305411; 15844523; 324079597; 783214925; 788133501; 443601857; 403755704; 924397740; 602431031; 790174109; 7043080; 112583026; 967269030; 938003268; 974578773; 165684293; 668856220; 244050278; 780626326; 59914606; 515576350; 234609617; 958618530; 273335615; 701571291; 708027798; 777170804; 184204076; 761514232; 543495510; 307475293; 595557569; 385002705; 14895380; 54784530; 435487374; 213772115; 490940622; 77557279; 561549751; 180585793; 420749726; 571457192; 494072454; 837710340; 716136464; 168706977; 413366246; 845887765; 411660277; 400562906; 432516047; 402339325; 445785363; 160938921; 714059335; 404940900; 908979881; 541672358; 876760536; 169993925; 572214784; 778877928; 77779566; 74050616; 799625413; 710457488; 758485191; 905988748; 17638419; 308101692; 99738246; 848100917; 589127479; 707165202; 341120450; 17551556; 769480003; 114931698; 875344010; 319176392; 790225158; 317843559; 353149070; 717243402; 807188246; 167516670; 769160180; 610507581; 112892413; 673053471; 491268887; 172091785; 389577002; 657428820; 518818174; 780990383; 977514522; 348583532; 503351856; 619669037; 677089159; 341387962; 508516288; 27165435; 299078861; 213723549; 667188790; 628443262; 959652828; 506933459; 52347692; 437031417; 656202604; 175693573; 311881057; 617632023; 634127924; 834748292; 660471901; 471786792; 284258050; 773806564; 513611234; 565975063; 139515243; 449558474; 213375673; 893563392; 86264932; 642828816; 713448297; 940348394; 845707020; 57929344; 632513704; 207179914; 99795608; 637997990; 467380123; 305253348; 733514931; 783283452; 402191561; 736881270; 37585624; 759373286; 487448494; 450251289; 841059365; 762176431; 804447567; 200408873; 369833570; 39646408; 753847606; 111897863; 342461601; 857288833; 814828202; 391082561; 916939452; 119791666; 306458035; 67762415; 674181422; 48648245; 810767517; 541757133; 537550584; 136630746; 513210788; 889423235; 136671179; 439481334; 548184015; 302057588; 322775071; 47625018; 609906767; 485853760; 475266518; 912023262; 607388616; 349103216; 829335055; 495128455; 915403487; 869184519; 826237033; 925910115; 435211711; 77077300; 109182301; 232952259; 356809569; 535082041; 572320928; 55670656; 63414766; 560343986; 878543345; 549485766; 60881599; 424632309; 698468420; 549091633; 928813281; 26500094; 847746861; 753241385; 133468635; 701130501; 316283538; 82810679; 496540964; 417786221; 910104475; 635058301; 721831621; 944675596; 145067363; 431521462; 685193979; 602963035; 438647391; 109591753; 40047468; 17209805; 736391535; 737159606; 97937783; 644328110; 289647387; 337558637; 170552556; 476779108; 670597770; 817264256; 985353776; 411540904; 316373900; 736271874; 771501127; 546495615; 493876034; 913203497; 985834074; 354536155; 515241670; 789539917; 945845829; 721094171; 457634040; 899723858; 900190043; 752109367; 344635047; 570546316; 873645155; 797314644; 755769652; 665950869; 500157456; 811237286; 765356810; 738270361; 329389284; 602469432; 646550924; 546034652; 148706720; 825559690; 811746500; 655972356; 948826525; 800664670; 202290568; 527892887; 128650998; 740983728; 470387561; 927206458; 839816862; 64769991; 59662812; 583375164; 118391793; 137094089; 751221012; 94355399; 784013981; 733816674; 278291099; 396611264; 233882905; 319508050; 462150424; 70613295; 735004024; 591228366; 404070486; 148562952; 931487529; 680593895; 162662371; 177338255; 974634915; 915978223; 188665460; 706389032; 395481659; 657001109; 269975361; 183276976; 877926391; 899125169; 425664136; 502233650; 536931313; 790414953; 346230723; 274060232; 899628521; 352615783; 839924848; 700482312; 247887825; 549952663; 755600974; 81188258; 481038542; 632028794; 198942311; 635807794; 259770733; 962495078; 88614682; 318880759; 623447584; 171772843; 852777898; 939937078; 321970458; 867351624; 167482500; 759083847; 193253172; 318366299; 604053306; 521879926; 352523891; 597478576; 220248421; 660291843; 888274232; 755733440; 992848583; 773545491; 847413005; 279202736; 803255349; 204243250; 660944089; 952543146; 824647228; 203222185; 313362920; 921152630; 221019294; 549745221; 955888947; 574922025; 678689488; 74457185; 519751581; 601783982; 956226137; 615948638; 488401425; 287844093; 616759291; 563656246; 515512172; 627825504; 83038576; 277959017; 706840469; 155174544; 818153946; 327080906; 625379013; 556875469; 373842649; 164447665; 504406332; 789528619; 942725113; 252321503; 824767563; 144652678; 645699473; 666347855; 863384190; 228124495; 330723015; 727798509; 679790075; 567772550; 805858102; 343170601; 64421191; 542689502; 26063965; 576754242; 816906564; 594313988; 456792518; 444275520; 278824495; 65325183; 923585796; 861530044; 72613209; 544448645; 234832191; 824846013; 967029159; 500497417; 942105312; 949255552; 908968639; 806901981; 904108895; 819290174; 689264075; 891390605; 433290835; 443119529; 295111558; 438264238; 72830132; 766105406; 263631974; 377354203; 991714390; 451013641; 158491845; 206034535; 111587260; 883972774; 458289308; 308609697; 823738431; 869727012; 272340488; 198357554; 5980570; 850344160; 795086207; 258707600; 301455313; 973557234; 861692037; 894405674; 954049658; 929429474; 38731687; 336023314; 141534674; 853155698; 925153299; 275276108; 966307032; 181301902; 341553668; 316427922; 670182931; 787849699; 627877032; 19844131; 733839435; 608112335; 240206095; 989855028; 74494524; 341822488; 831759251; 955146985; 261047742; 612071964; 637861469; 706390395; 206559492; 284032844; 579310975; 631717079; 193616295; 112002695; 387329814; 470724520; 861854410; 519753971; 774123835; 837847338; 268474108; 975529413; 175914920; 803896265; 913372284; 807771863; 834146326; 687514968; 334010017; 865837585; 223936057; 147346909; 564168230; 923442320; 9943682; 744274627; 384801239; 661363456; 595708954; 852934907; 727444648; 168786588; 225174111; 626189596; 376631067; 370510654; 344047432; 765237059; 927988587; 168653747; 166042090; 999955779; 816732904; 179522029; 534731375; 582014919; 768120898; 176604090; 939840222; 109497437; 616278183; 281101494; 948277687; 640498307; 296208367; 692701198; 200271976; 500626088; 850649320; 436829465; 195955426; 937516498; 403746228; 892260446; 377214393; 447765755; 352609601; 689894489; 80799801; 115599757; 820880670; 803168542; 685734800; 98373084; 762368233; 790760758; 331077229; 270161154; 655648867; 800320488; 743537426; 824761905; 300330606; 280451122; 485618624; 176527537; 425700643; 691815298; 410106909; 485608768; 168975336; 128872253; 609490585; 636916040; 215061353; 859691966; 198920880; 805028777; 528989160; 545134228; 966808437; 148732638; 267187306; 261608455; 409826799; 657083106; 623077627; 584610383; 121294691; 369795233; 247769240; 400501626; 712620035; 426158934; 891942319; 127893442; 226580031; 388064981; 77852364; 385879766; 422143795; 480494196; 549685723; 907058722; 819268580; 619362730; 6265090; 630548550; 387353449; 336720689; 450272236; 930047818; 989489644; 396097936; 787518221; 809607405; 205246867; 297439418; 34855232; 462790083; 846346767; 797531515; 102172165; 167027672; 317352864; 216677442; 474071437; 487789477; 919127557; 278896005; 574688391; 724758992; 472663080; 185339381; 747675897; 31016656; 238673033; 165072932; 363781528; 969439782; 585508890; 63899064; 407238401; 508623956; 294012921; 917687781; 97119880; 631027699; 41037659; 345870048; 612118646; 874852988; 461828236; 421399639; 922893975; 340493676; 353700962; 655757317; 284648573; 755410743; 23554422; 496388759; 261028957; 507871006; 703558642; 42157316; 286799796; 268017876; 287771316; 358995862; 666834507; 182096684; 866412521; 647188766; 306199698; 142399827; 4331307; 329903024; 531740795; 304752599; 827366243; 226317808; 746724366; 61267950; 617891259; 444892293; 510493353; 537564157; 343226957; 538597449; 411870742; 192408718; 490499625; 928377676; 301172480; 479615720; 792812421; 633667699; 578819504; 41014939; 614064893; 181609451; 724395413; 599437690; 761210559; 173732850; 588553288; 839249326; 65353966; 162407706; 131286979; 63067452; 785836239; 443634840; 878832597; 390060538; 355129495; 503312963; 633415103; 963742264; 443998020; 429455726; 118253432; 651983639; 355644421; 427154469; 216028858; 466128453; 218784672; 784802199; 357077901; 210277323; 553315907; 729978338; 290963278; 330632808; 861759787; 45699845; 495847831; 476577215; 598053906; 808284766; 689931348; 755022328; 993426180; 848078116; 429237173; 439706732; 546115968; 652128178; 559416166; 103897264; 230271721; 501872028; 900933772; 800474520; 549486618; 342584511; 131978478; 361818954; 180724904; 691572023; 46184790; 451318317; 532821322; 823348611; 217456746; 556678744; 6601410; 519951935; 507993404; 127272797; 747933800; 293178497; 937200251; 377073342; 513733663; 319283007; 670106853; 333773730; 391305477; 313144176; 544137022; 856360836; 707692031; 833773046; 223098769; 732190113; 951309898; 956599568; 521832202; 515368749; 937307062; 742869120; 502674023; 760824069; 188577030; 589908974; 622718865; 417790531; 861332779; 139559455; 107192017; 950032028; 864926228; 816540343; 166587497; 210331363; 383101752; 527110539; 314220067; 953580500; 911848053; 693907025; 25562592; 976989531; 79534411; 887767191; 680574803; 851112371; 730730534; 118684517; 622991585; 221769758; 547527701; 329911045; 981831803; 5538209; 13663115; 411988101; 936435120; 741392318; 391962758; 713027991; 438449633; 297652748; 922245819; 587518830; 849459173; 344007537; 448446359; 29278692; 251782971; 543824420; 353161495; 320673717; 768591391; 218326353; 880756716; 676401718; 109041298; 723338833; 345030330; 788842226; 801454985; 381590682; 943112048; 27279444; 518109849; 602039331; 361432466; 970791522; 953155458; 36846487; 959851201; 642948170; 2909983; 562334585; 892134336; 722714052; 358259701; 67927883; 108662402; 111900159; 625946148; 666181530; 557559361; 632734050; 164778599; 393302799; 439432220; 277087254; 33693778; 605446798; 40810694; 596235935; 522957335; 626111326; 454057887; 226598971; 2350661; 894429053; 835529591; 366821004; 291979648; 389040830; 371848423; 69074410; 767676588; 270824796; 545978971; 699514981; 539948422; 408070370; 916267922; 45284456; 294145699; 856815675; 133576392; 220037642; 862755293; 409310550; 571161382; 470452350; 55617965; 225959181; 624494833; 43050189; 49727488; 252447920; 86693838; 411472843; 197388483; 448712265; 615234073; 357872691; 270461655; 30685815; 582026156; 701927024; 115876868; 449443934; 424330966; 665315647; 115476481; 507781331; 252811528; 734497587; 447926018; 355432116; 74832786; 861780645; 167092810; 163874424; 64250696; 604524831; 919801763; 596294147; 336393222; 637997303; 311915669; 876869359; 913169000; 965290818; 523285388; 869502737; 696077004; 845222977; 692861982; 631612467; 185392771; 225926647; 771536900; 662691677; 616886933; 257726329; 441665180; 564341955; 389415525; 312874630; 960730219; 100142257; 323947796; 503286694; 768243519; 784656415; 415319855; 900008342; 502134224; 591137581; 727184987; 883269818; 910684506; 290349; 713139992; 400166559; 14943106; 980851625; 473935995; 331356737; 636162195; 301309400; 723850348; 79770584; 960999674; 869645760; 596535433; 902916765; 836037743; 207624546; 57216585; 250938562; 147827947; 897208047; 243846151; 503223188; 308687799; 692052707; 576652924; 50301161; 640742897; 608036367; 421627936; 199548436; 241653655; 140312064; 542983552; 636140615; 53073266; 767687163; 758300088; 781723149; 897132514; 282893794; 183108476; 46146864; 819062558; 722299850; 624783502; 998621855; 675430811; 905232417; 669088660; 26647762; 819999010; 518998114; 787052864; 260489816; 615734996; 447556314; 606404010; 441827192; 566142061; 902439605; 559712808; 334267420; 907299566; 989779488; 392524417; 232414038; 802501249; 773595667; 147108560; 909342842; 38622639; 708529344; 687134270; 974753841; 80036131; 754985250; 453857409; 898892063; 186390286; 298683259; 990914105; 134794183; 132421344; 517863645; 353169773; 409384478; 48924891; 827202374; 735589832; 538699777; 974181106; 703332228; 203925401; 3616343; 438917393; 773435352; 181709616; 309247837; 411874775; 814949780; 711651783; 707267247; 430541584; 78127369; 286382703; 913921881; 577753318; 957489071; 266591689; 774211945; 620675562; 759024419; 617833084; 671206086; 644645004; 944430403; 725955797; 90728847; 707947337; 637537593; 971779046; 323185913; 163672038; 166949747; 325291979; 815699505; 613909450; 391887420; 967706485; 205315618; 842439915; 372424915; 640170990; 484483134; 661474620; 973091841; 419477396; 890790693; 869816348; 560088953; 887870953; 256861255; 953211578; 902311946; 69844649; 165119771; 264544399; 196528576; 587594559; 547110099; 447914958; 719110921; 19248018; 20739006; 279661242; 969806130; 114524929; 204312681; 309726464; 962845388; 254459077; 147270979; 316596250; 245159229; 849173217; 954548279; 780718423; 90161730; 825866614; 314751623; 460826138; 770973601; 467522816; 608287664; 83803494; 698768095; 324889221; 119085542; 264783144; 360207973; 101595966; 936390987; 259876402; 136082877; 478769679; 780421304; 192550227; 250079086; 149352928; 579002026; 826592282; 273540000; 568565807; 148765353; 401627187; 973698818; 153074871; 869487896; 656876388; 912058004; 919956800; 17779196; 126726454; 425727099; 486077355; 38870646; 400189452; 65545830; 789053926; 434439236; 387236877; 336174139; 792715405; 612571301; 236729338; 620210765; 823214713; 7099211; 799484648; 103241315; 741137153; 739853928; 529855880; 288388037; 391351088; 658288479; 880620104; 728932612; 486128410; 213305292; 4973837; 301791196; 182172152; 262343602; 540694905; 978521140; 519959754; 813581089; 30254433; 456836238; 246058163; 675681258; 518825878; 424267907; 873641291; 621033570; 383739329; 738631385; 764858645; 640435262; 154810419; 405527788; 326339155; 264347150; 486848873; 866251907; 574276174; 585005647; 110591758; 534668943; 504826876; 206763053; 869015254; 107731164; 355133364; 463937636; 334397614; 692043197; 697339177; 851859048; 163579594; 904110630; 437516135; 590537564; 483403079; 609956414; 715021826; 324884750; 175001095; 574245771; 630922260; 450593863; 693025235; 590292697; 857799943; 781947635; 813842127; 559497929; 171594185; 623907981; 970205770; 387995249; 617193214; 75185021; 224981013; 985498400; 463284642; 467809052; 538106604; 571705750; 938780633; 237830295; 440753667; 990569200; 401560486; 824063723; 986831163; 337908087; 756542417; 854522967; 648796478; 107627793; 362791790; 352067481; 855937259; 61621390; 660410179; 393873920; 408531163; 726584752; 711755598; 150777980; 901420688; 21116262; 118212195; 463904518; 40437102; 384572615; 664512612; 849261872; 592391793; 482364952; 41700473; 647184508; 219989873; 611585002; 398110368; 53279761; 213265591; 10317258; 381235227; 932039007; 769964944; 508894874; 343211210; 452628742; 138344387; 633311729; 275336912; 740362259; 321096281; 749159996; 140114257; 491224283; 215902315; 76049174; 319217479; 130684632; 520420563; 301270425; 403321156; 913180086; 842814575; 918551424; 753211578; 872583184; 956426045; 633102793; 523498681; 574621209; 293736132; 810273865; 348685773; 905022277; 608916156; 353863100; 669530489; 298695950; 433567607; 585700336; 977363720; 275697596; 302580940; 393568637; 404602357; 121744670; 59485354; 515739528; 125703227; 233545639; 323122209; 217145903; 352229062; 624193993; 404949986; 995321855; 326306076; 903463160; 364811621; 272108687; 876578819; 710361788; 401094147; 859295229; 668943022; 570354661; 708206467; 491126306; 996534976; 941563829; 342990348; 434771971; 569552395; 210402422; 45653349; 864047037; 464182197; 896320329; 244759072; 976777723; 805562433; 894266645; 394631602; 831013215; 224177115; 898499321; 268147284; 957293777; 915350631; 779183343; 451890408; 9758605; 393874805; 548426854; 964395151; 968071877; 408206793; 79276067; 833028716; 927729703; 65720099; 743524296; 257885678; 274623891; 544110869; 275249614; 33656122; 248964681; 138466353; 165927826; 328581873; 549447073; 847804982; 503755847; 415748610; 743141538; 588376779; 183982509; 957902280; 556618925; 36949752; 84353667; 841062877; 784825945; 541319883; 293526935; 714788965; 185513796; 7982536; 923113901; 216247495; 251372930; 170837837; 786175298; 568666345; 77041016; 212500796; 357606480; 663579792; 726057389; 320396715; 950831938; 808349354; 403491028; 351664578; 256641476; 590127060; 929557351; 11247051; 411976991; 850620016; 481322710; 63218652; 796390821; 647842705; 267015707; 421852780; 795494390; 564357667; 397095304; 811244253; 391126054; 877182423; 887597263; 243350102; 887580952; 514346032; 90642624; 269788107; 695394248; 107775977; 445545300; 464806846; 765180981; 908536353; 787016452; 788647640; 74787604; 412491589; 954395863; 285553644; 411788255; 355690507; 881077702; 307995107; 32690489; 52291398; 392896178; 214343704; 823778385; 988897034; 36393620; 837624910; 725377091; 4390217; 60172313; 529905486; 230010432; 839899606; 636068666; 736313825; 872296181; 406883402; 550610649; 881944983; 668757112; 238616385; 74278611; 195776287; 86705198; 731738513; 587695930; 587660545; 510020318; 137489; 888213512; 533270927; 364137387; 3454114; 968796036; 522062385; 800228181; 284483886; 457798248; 205942063; 67877983; 299867943; 416827875; 548507603; 896568663; 818673249; 652537561; 283208810; 869119230; 714136913; 471047381; 4967476; 190173467; 84885478; 150395080; 433173990; 358950675; 698435743; 608233185; 412634047; 230589094; 881989784; 442447865; 61542345; 868992713; 247875912; 821902949; 512647326; 193311895; 83995171; 104123773; 430589457; 382191911; 962426642; 621583928; 565132040; 474459902; 115070797; 213037519; 6205883; 554864985; 261854859; 748371253; 716988859; 199581255; 499270608; 84521876; 274473139; 391639496; 19043509; 775439394; 783309274; 486131919; 460136711; 114085893; 498987138; 798967953; 160234466; 766080633; 90862888; 13501891; 334514017; 904841144; 464434514; 753534370; 954317802; 665069191; 169272617; 986800806; 416908883; 247194318; 879995431; 645975114; 287613381; 845492632; 753321568; 559598219; 855632286; 416001705; 855605631; 186913472; 661751198; 404514599; 1407592; 978467862; 598532716; 45616281; 667036447; 2200989; 495431100; 401256995; 949082885; 401316299; 975954469; 127852396; 347959638; 461493212; 889201134; 112679327; 175604522; 998239877; 413435523; 364899983; 66235337; 962647346; 207289448; 157731003; 817507121; 498790304; 557306558; 228677637; 242689947; 446400311; 749704080; 64945097; 821926716; 17502397; 888658716; 916812334; 65152930; 777196609; 233392492; 580097240; 861725668; 990539513; 547646217; 891693444; 96582405; 578852059; 458908957; 23995630; 437212151; 918011186; 603569957; 526030869; 365737375; 176471564; 831153806; 665415494; 387719751; 864347278; 467405573; 207359958; 113057239; 811496543; 915019756; 339438531; 85887912; 566229779; 746716897; 244790173; 549687511; 861674534; 16616363; 789568; 49789684; 75218938; 937733040; 61102375; 523424622; 475890319; 841682036; 118502735; 201196641; 207137635; 144814578; 5347211; 278468450; 949218469; 594168730; 529691320; 523563477; 584062815; 14254586; 438078013; 992837460; 859117252; 241549951; 129478924; 317686482; 348749424; 354502161; 964016349; 608019944; 737089407; 572334837; 51987590; 977687721; 27185815; 206747107; 1402812; 687356819; 981729286; 528084240; 558617285; 488974231; 251435220; 505133217; 296386784; 269808285; 591850041; 181014263; 240337246; 689914960; 156975331; 412936976; 610948373; 887877639; 852489100; 414871339; 122041337; 938377308; 836756739; 21182323; 383303170; 271922969; 821085082; 324919894; 425354512; 348015025; 706884820; 149216302; 586492217; 899048361; 103685904; 924077873; 94481609; 930472301; 465483850; 831447796; 370080760; 714482151; 989515904; 219528355; 279445483; 343790239; 902778508; 110709840; 127388469; 459646444; 59020953; 443897864; 802138568; 325137720; 338158588; 456948796; 972948486; 233841748; 629348713; 77121266; 164898752; 483345009; 135403928; 936644587; 496809829; 369190521; 654093763; 973146570; 197705156; 248509819; 940691342; 742580208; 554751523; 422005170; 537177179; 441487401; 265217723; 545318147; 187428857; 999850045; 872074170; 653157703; 28633288; 725964226; 266039411; 307259816; 884115866; 776899411; 937270174; 716868080; 924972206; 288328585; 684180023; 773680316; 325693392; 102907195; 488323751; 724220670; 6854166; 564112584; 848033383; 541286855; 646034336; 842756613; 243552069; 895862625; 950565000; 802793089; 753597253; 102652813; 918586512; 219710224; 564641455; 42657736; 852286022; 845972604; 740130979; 782057374; 903187754; 150239883; 883886507; 469897670; 552535770; 85728438; 862952352; 287756184; 53954411; 371430805; 492358739; 505548511; 341190078; 390876482; 997426043; 123185684; 436242290; 607558916; 439765131; 91858451; 2995454; 666392632; 305519863; 794908904; 33402300; 714476232; 545158863; 1738261; 130968744; 516152232; 806803288; 916905403; 296052934; 235488585; 802538597; 677928113; 88979558; 405474486; 538760012; 724967316; 785694399; 419827745; 220472946; 626837519; 324548937; 783632880; 703332703; 854319660; 238887208; 347053444; 343972018; 750148458; 358338195; 809710154; 917564917; 227562776; 238372453; 474828255; 592507337; 965579549; 483489110; 233126992; 521948128; 255979263; 709102774; 14923803; 347535138; 144564241; 12700866; 878620444; 796156284; 73343497; 120035009; 270291050; 851895732; 261592438; 840507566; 591626514; 516362791; 601582128; 784604055; 650769728; 466700064; 3206192; 882638430; 61400900; 882782980; 368449941; 448030697; 534751512; 726634743; 420443734; 542871550; 128447283; 148657896; 239418545; 764702712; 358439496; 561997385; 235948621; 284921568; 761975518; 111671353; 944129733; 579823248; 796774066; 876946534; 39163759; 6250493; 181816583; 651979184; 605546910; 492157655; 394585242; 454087453; 844062393; 875429913; 908926514; 676443194; 145465745; 336286680; 46722407; 944908524; 801167925; 416818222; 596992856; 506472270; 813364335; 479839916; 147552067; 413281082; 153982979; 329715720; 915075808; 103696273; 358917310; 313723776; 798610137; 651887484; 996921134; 418876678; 298824886; 273059694; 878911260; 439707357; 484085124; 615488356; 172953638; 192387826; 508753609; 457373516; 544236641; 58394006; 653034589; 496037521; 8765614; 498280364; 371352490; 496993246; 920759060; 215489825; 715293516; 561516902; 72810625; 513092165; 13664585; 498915562; 389587999; 653515871; 17832382; 361919656; 385344638; 236186840; 499664264; 386299478; 506087872; 742805026; 587752947; 889836312; 302398685; 436466927; 772619648; 321445518; 561165658; 651833340; 365288029; 302946534; 308547153; 131981423; 562812208; 185688147; 142002113; 488699280; 612254638; 99775179; 392174457; 328155082; 969334917; 350447723; 429246573; 860601968; 36982736; 566404176; 871979766; 192328493; 818662091; 229550609; 731469154; 446591661; 35826953; 234511793; 283607939; 783589561; 798819865; 105428820; 947463126; 852161032; 268766818; 84436809; 963719442; 930284269; 775341323; 508911542; 135859449; 568046905; 270760382; 308802116; 446012992; 161305476; 693028268; 991800795; 238213067; 575428147; 181651068; 385989071; 628274439; 482435321; 758503498; 915114286; 574786671; 295340716; 530182867; 429183097; 23249881; 842230499; 863075492; 402482306; 589531819; 354943525; 752996688; 477468879; 737499015; 19132676; 924595401; 239600311; 729137519; 415246006; 105692861; 895304704; 390456105; 982205707; 802147640; 977202929; 230093559; 481770100; 312167844; 798675461; 973934928; 13372156; 790080775; 140531577; 89959616; 360444353; 793674014; 624363544; 594802945; 345527009; 197676891; 432551555; 265557370; 856134484; 879598632; 800259730; 202255344; 872728147; 722747520; 550401444; 251004007; 672380761; 428703487; 72015405; 580819730; 55887145; 287385111; 180174293; 397984729; 957807302; 86513676; 83035174; 549103604; 123390579; 677144616; 655260887; 51110882; 871299219; 207238119; 500718614; 599074176; 996861793; 4470381; 599814082; 86030253; 752868554; 349412695; 473742470; 192394246; 312165875; 261567131; 717792468; 335182342; 822367078; 35344063; 886777503; 623762971; 151180567; 26236730; 15747982; 296715016; 701526980; 580230466; 509873608; 932789420; 547797583; 899462369; 326722604; 791320218; 609529852; 230348868; 660871762; 856425929; 595249900; 380816693; 427069752; 421037651; 966149171; 471555608; 753880636; 707659140; 394001376; 13693522; 72368928; 151598263; 94060959; 95100354; 843840989; 978449429; 253158863; 399217209; 997703082; 65226948; 891291149; 668281830; 949688716; 130877163; 127437730; 123788318; 129824492; 290935819; 111402318; 403309091; 34852076; 605476007; 681403732; 955545392; 952694297; 928556028; 234381232; 289898382; 83924720; 723714069; 49510464; 856959739; 370278484; 694977034; 435367138; 853558003; 367823559; 17526084; 562648254; 550973104; 115634214; 738739077; 365606478; 470886521; 297020905; 251718369; 413900543; 227451617; 926833798; 272398984; 353845228; 706365770; 871662830; 431565673; 688830134; 977252593; 237959416; 73354011; 50334389; 319057172; 715236965; 220372087; 478113710; 442794129; 424577405; 481468160; 268439925; 923946624; 354513394; 996624995; 664054468; 360350668; 461446801; 484899240; 958696402; 694003034; 131604498; 962562188; 502680090; 335599483; 630047325; 72351733; 369651237; 347036344; 610645579; 829426239; 673760805; 152208897; 407333745; 491311027; 343533975; 144289114; 417842162; 152272517; 611869621; 948002471; 392838167; 730526237; 742069112; 749611246; 40150416; 824427597; 809679242; 801226223; 952549814; 579930082; 441241265; 14713811; 465415915; 314202932; 461876787; 593271140; 792167122; 118620943; 528260524; 690103686; 895394744; 918671096; 191743252; 311406260; 777866513; 411552965; 762824567; 642802233; 14926476; 350302725; 271457787; 180518870; 133628178; 560632364; 39296920; 730315992; 260892665; 835596828; 65341812; 240978142; 396132219; 35164359; 362713153; 625722546; 975848981; 207149025; 184717855; 323383146; 274678764; 189772021; 125237107; 320653743; 658594867; 186628759; 972928677; 356307020; 805810621; 316931608; 419872376; 129891311; 394274377; 616957763; 478059665; 330065208; 408303130; 714125030; 806316154; 626747223; 951095425; 229241464; 7841232; 439194351; 18923465; 978177013; 353128868; 909699478; 914563670; 4316031; 390352157; 307905103; 393901719; 281481132; 155346317; 580588779; 560236865; 807584629; 181900585; 639864445; 197235099; 223767946; 57368020; 440000021; 149816321; 80536718; 244590875; 310640058; 928099002; 628466812; 394949990; 836685635; 775137772; 589228134; 895811855; 256848707; 128432311; 737834129; 148056955; 127089730; 886188730; 978592039; 699079633; 732060854; 859632111; 690854509; 634833237; 349561343; 918482331; 571029125; 909669772; 889035019; 93243298; 350450458; 915964769; 38936256; 878376026; 999231487; 410313434; 11320940; 53370832; 56632939; 432506338; 306371768; 103021269; 872019733; 213464587; 580225737; 372849497; 435154401; 682912147; 58741213; 658761280; 549618663; 246704949; 174903624; 606991178; 334272506; 496318587; 160005160; 653967160; 964399295; 58734367; 780208173; 870345051; 924525908; 76032538; 287923164; 598716744; 807792182; 783770957; 474386022; 376375662; 712149075; 555673005; 197086001; 9257612; 746548876; 466061650; 984689684; 386328261; 661372919; 849308779; 823708888; 214396088; 861288331; 59454412; 177550779; 416644489; 350800181; 345538481; 848981551; 47617316; 210151396; 251326838; 669451093; 652680935; 402080657; 823265004; 290578083; 557075321; 968170715; 220203396; 701440436; 959938163; 109173215; 984485392; 491292363; 709587870; 948596337; 442179472; 744475421; 848057036; 251752679; 468415546; 308705982; 481927806; 229050347; 305060587; 970799975; 257462142; 321599599; 270308377; 728589357; 323031794; 108956464; 486553287; 904692256; 427641591; 877200904; 17030754; 815388989; 631306036; 339923243; 715758807; 103909596; 804508005; 465742225; 232824645; 822487008; 198299021; 645060099; 598846314; 766338304; 393462383; 765218086; 58214914; 834418510; 770056726; 657852089; 754147135; 522365723; 329541301; 115508831; 792268000; 477985541; 923212105; 96169518; 639805769; 618513587; 873103243; 852188161; 758339464; 406398588; 299149743; 514988487; 559690438; 554798683; 288654312; 220925176; 752488823; 6797141; 413427116; 722813403; 384035824; 174133225; 130837050; 131243251; 618229270; 720376268; 669511871; 440987050; 965127620; 733042604; 454072593; 837593746; 432548811; 448945224; 753159176; 354788391; 209236304; 65208358; 371913917; 920448927; 284572421; 557828778; 928162512; 319698263; 990393729; 913289996; 480209150; 371206958; 258463933; 410022682; 398574631; 637451399; 535364076; 913574655; 112700844; 184500025; 640517832; 736984120; 204454983; 415762976; 874256717; 961376677; 971114066; 764094920; 681150508; 205315253; 519477921; 882059124; 230618441; 189877358; 425103165; 925781591; 48052242; 96829909; 709478267; 566493813; 250213558; 203703987; 936786388; 681218288; 787481099; 148310924; 908389500; 445230470; 371969945; 489634730; 448310993; 749134765; 308001912; 759667087; 895172983; 310969893; 445873521; 370029131; 354347434; 890224291; 628443461; 736962658; 487414723; 648266427; 28177872; 841438696; 207331251; 98194814; 917982939; 997862521; 411420661; 900989669; 418638805; 245941305; 819231460; 813740656; 358073167; 77029968; 282216957; 935401941; 916397735; 176354899; 909926626; 355608756; 782788047; 495675778; 321666835; 579912971; 256767860; 133261953; 709887907; 547423888; 350843595; 834304878; 349046332; 653782718; 869828044; 558950595; 980321859; 470576802; 290951952; 608386568; 889981480; 789277655; 738736082; 395716853; 773241871; 899822156; 585199258; 422963608; 706498825; 375555601; 525427966; 455597113; 615186795; 811510546; 426612564; 329768322; 902921027; 383107976; 604292490; 783247674; 380339988; 692499613; 805314727; 225186400; 744792043; 124601648; 206228184; 135746595; 439716260; 86495551; 21251852; 426056990; 611651521; 250268848; 332385476; 965242058; 360165259; 42253276; 635487881; 234454761; 422214432; 90205016; 366151004; 541738891; 196231259; 585283363; 911591678; 205169733; 674277560; 525132376; 405728700; 944060220; 26526590; 857729998; 149610957; 343349107; 731049433; 7087776; 770746459; 105515454; 245806807; 684488046; 878491665; 620498190; 710386293; 222700920; 808762203; 66460084; 405411683; 340745716; 726475025; 709973590; 233332302; 414683822; 439559678; 529243707; 579774928; 726588317; 284306947; 760338208; 800160152; 236763630; 574842526; 140730692; 946544956; 308834239; 934461975; 230612962; 612369899; 901986267; 449567412; 107427404; 250370835; 950771238; 721718555; 780632593; 761799236; 85658279; 582634479; 975465030; 427761386; 412346266; 731521727; 616967815; 784858571; 479267549; 766481260; 926064819; 202727977; 189970041; 31016101; 838366078; 463696003; 953429886; 234240933; 749126611; 542106985; 454243698; 529366165; 761609320; 983432197; 122664443; 618592347; 306573134; 384831165; 530469464; 121905370; 355680240; 735260220; 989623306; 464761013; 421318642; 865577605; 88122116; 965400038; 357427249; 984530836; 363226367; 338915674; 452987525; 881575817; 323437649; 150730951; 129108527; 35269248; 362921746; 471631265; 885155746; 345807340; 806575929; 514978014; 512047713; 431368353; 401276955; 313120225; 777649016; 330715707; 977871443; 143453650; 928066187; 415172575; 970067257; 294007875; 903324224; 323413401; 353462397; 991700702; 591656235; 245425474; 248759108; 998498750; 697069118; 825106766; 309979423; 820991342; 429192285; 786443346; 462274242; 38454974; 253604528; 561120662; 930273484; 928386481; 583234678; 896738694; 255650022; 331599913; 878861316; 301785908; 505180809; 251777997; 404445305; 51037689; 756178223; 703371134; 879501069; 166379400; 686801158; 993880344; 684601431; 387094916; 817865212; 164044196; 991678292; 295758941; 522982881; 81797848; 524197407; 713514828; 520508682; 460553017; 57041071; 381948281; 955458047; 428738441; 237178300; 509338480; 653989244; 543720852; 656739866; 795939850; 900507419; 99316162; 918787952; 319360585; 49012999; 214596824; 150391710; 316821361; 826547284; 512381161; 479682773; 614638262; 457047073; 345489520; 643813367; 944511068; 719926076; 542615571; 775887944; 253783217; 215156260; 284325447; 51511585; 99799989; 832772807; 935692162; 830470332; 738668042; 402795664; 651309300; 776841170; 518856227; 22126863; 378970564; 364305424; 53385579; 896449527; 519407418; 456215076; 649651835; 514541624; 307361757; 629341053; 850809930; 692902463; 2001195; 306825533; 812751196; 290021495; 630964311; 399705940; 596050185; 369084255; 856931739; 906359687; 829155986; 106524845; 361492389; 3383379; 724438740; 407014988; 687536137; 682297906; 561352060; 153894438; 851682648; 387567942; 756484134; 847143216; 569059766; 294606026; 684048631; 682267761; 666084351; 241845944; 891269487; 393067661; 117578050; 374888112; 277405563; 451144853; 683866363; 718232327; 745203321; 35906727; 156478976; 444798819; 117421397; 345294670; 321750844; 538849664; 509896039; 320761602; 234632354; 472900151; 733214671; 299054562; 547775552; 856359635; 121476836; 725732720; 584441379; 780927626; 67481124; 985196345; 265047391; 518630642; 979773767; 213719422; 691797765; 970228622; 324815719; 714838553; 210250389; 497416856; 508681833; 94091294; 374735814; 96763218; 243327495; 942678385; 355233504; 824846934; 832755591; 785242851; 142466494; 342781242; 578073336; 406131169; 378612581; 604848342; 549311181; 986204173; 96099079; 973556306; 42505695; 433476902; 590046343; 810859406; 880719295; 843618990; 12717804; 540903764; 343466892; 203192777; 21294849; 656003514; 941983714; 991444583; 569813693; 972637428; 316879800; 119973258; 671536222; 143027649; 239252287; 402064146; 290216059; 991806245; 208511770; 695935450; 626956187; 502911217; 610722473; 190223478; 405314688; 221366452; 463912349; 363728624; 506254303; 82950872; 517634519; 54733063; 268263591; 432668799; 853696225; 676286384; 254718679; 66734910; 342912022; 561578941; 637775048; 937191155; 358674490; 582966484; 519150202; 271406198; 277423704; 107910907; 302768285; 225657638; 624508873; 835646061; 255944934; 572803947; 323184365; 410568122; 77342942; 751432351; 175563504; 561036796; 350373663; 205685198; 603257258; 847773926; 134367282; 274176335; 356493756; 916629653; 171044791; 783390422; 153485183; 181491566; 872591094; 508925455; 641211134; 901952768; 811097053; 548187933; 831229053; 492918224; 914767040; 831960779; 774741042; 128027072; 314031757; 401786953; 127691963; 795144498; 251169140; 824379196; 984108947; 423671280; 385398549; 534795706; 896432832; 88079610; 238725186; 429193393; 262951280; 742482249; 698643417; 620494298; 394998150; 754279792; 505583246; 613858743; 762751549; 327835066; 628247449; 747800478; 925321275; 465544873; 440293549; 766877458; 939779789; 169889299; 816089920; 522770384; 755611905; 486549492; 104750945; 425612160; 132636378; 968833063; 315983772; 379991396; 90307314; 923334526; 851291553; 60521503; 720340208; 812873243; 50137872; 451138124; 342673760; 341072862; 703625889; 682151350; 591038320; 199544023; 233125555; 360777258; 410918759; 429998140; 444680911; 649307690; 943286368; 831044234; 464145988; 465511359; 206064724; 446429209; 634288143; 284809174; 728469250; 387708762; 506867175; 250479395; 649137885; 887672446; 930651743; 24143094; 443558875; 458556379; 154763134; 749152889; 255455604; 872963974; 650909351; 860352674; 193488038; 664247929; 178014256; 2745995; 475339812; 558720949; 385545007; 854598747; 153940845; 328870865; 498914411; 64014139; 583879801; 613008563; 199922922; 572140709; 514704420; 511671953; 771653226; 391862896; 579140798; 767887893; 740336285; 415971195; 206544989; 543232753; 724053366; 24573738; 956694881; 51907071; 731259173; 678928800; 728839260; 343511859; 716152734; 629599773; 863238735; 6835245; 446262105; 609251642; 108852068; 588912848; 83557353; 719325864; 837688744; 997907132; 680316723; 43385441; 960197449; 955510917; 530792498; 536101520; 373242887; 953392463; 369582721; 373798720; 268171436; 317842274; 215681532; 59235511; 972777051; 630697276; 991059825; 907233592; 614360776; 353636620; 121194588; 84081463; 589229623; 543303789; 747801399; 156778673; 296623164; 72970537; 291185259; 867786056; 189068410; 39460839; 622527854; 543082985; 159323927; 721266135; 404855783; 107900699; 10036381; 748845503; 40846328; 456136142; 348822089; 101604344; 730509355; 812824428; 889028784; 99218540; 133673369; 493868922; 768512281; 160589616; 387159092; 171072497; 212198923; 849176450; 365156757; 39841924; 599811335; 845282738; 233289111; 354556714; 534768637; 454255041; 864380845; 283723349; 806345883; 133162642; 724106997; 246456919; 967196664; 320060361; 469373314; 87550624; 493944406; 684481325; 32171841; 524093852; 542070665; 871986979; 791024572; 721444420; 341440701; 437265387; 855356458; 600906880; 190723522; 852464241; 724807119; 678174431; 675606623; 628306422; 56167450; 166536923; 743702931; 289800474; 910195168; 297231047; 79959107; 544921549; 874135592; 852103790; 979066322; 791112437; 999561889; 431321821; 653270311; 851465256; 205506086; 377180940; 558938896; 974542309; 278266513; 298554988; 102793672; 814058624; 587331528; 777731654; 634240162; 737977587; 581588241; 398024699; 921210610; 295024623; 572215238; 909849250; 93997019; 378714285; 439760076; 214487204; 588700811; 230580786; 855122162; 845985568; 741857725; 302125292; 89487226; 549629540; 719991007; 23373061; 318419242; 337628558; 782314116; 480714015; 621795668; 177316212; 534177789; 752229391; 475722319; 406405444; 208328539; 648114708; 240250654; 26986415; 300632899; 4781630; 325415423; 301316502; 387032914; 376151128; 685252565; 843794386; 816885766; 113625259; 187088100; 862482823; 153592021; 174314036; 768357464; 62064970; 864528596; 418835392; 998960888; 293280200; 344382162; 46047683; 373898174; 873452910; 711627572; 496697062; 437210975; 224735785; 354131405; 926227805; 994603066; 256481701; 469916407; 509437727; 176302158; 489474594; 845451684; 224645957; 479237601; 21444862; 686267503; 477049565; 11303881; 302351494; 389953606; 84132445; 836349708; 154378763; 984848027; 405385905; 385362777; 243218242; 525727977; 550191535; 542056858; 670061399; 639735786; 527506943; 692416064; 242638447; 590501255; 236133560; 146008741; 352060767; 40377928; 183717754; 359608266; 946053736; 392435899; 142794454; 778501812; 129535775; 365978343; 224197879; 957078516; 805748034; 806989303; 854534765; 479544910; 74552741; 356415406; 703806073; 930354348; 210964345; 422667210; 757202292; 580373003; 649939575; 777920710; 941385047; 118536671; 477727472; 429678166; 237362495; 478991493; 907036303; 335926051; 796020543; 602800382; 376679026; 496911002; 759888542; 212504672; 267541020; 940085627; 27662303; 449210472; 757403359; 154561932; 249554554; 131191140; 861525562; 648191528; 386063391; 634273884; 584862416; 608566755; 295817579; 806022855; 300476221; 30022500; 843820066; 21105378; 311848987; 973662617; 687844454; 947696579; 376448317; 166736622; 428143552; 685312106; 853390875; 425734774; 740495011; 953577276; 953958992; 977519279; 398744923; 381476214; 377186498; 256255880; 513019256; 134876452; 900569672; 186588614; 774925128; 909903032; 57559153; 209051252; 355444310; 890593549; 863856178; 975985914; 633328452; 288652261; 819154953; 775848678; 675587940; 899998084; 755422394; 12577421; 339974365; 784185886; 513646289; 9954006; 445475757; 168214332; 648743940; 705193969; 261927669; 518679536; 294481640; 54383157; 568050755; 84822737; 993639777; 809617923; 235868377; 79140041; 243010849; 296542568; 502428638; 51607474; 157543442; 802212916; 249731307; 674333010; 702182005; 104272537; 397545624; 322073071; 880773395; 675295402; 188011312; 369930821; 509106860; 432055056; 607373067; 36907595; 91156509; 561721882; 810426643; 283532272; 918859676; 318279412; 412751112; 325981351; 126888468; 76484904; 54570144; 64903371; 739642303; 957027324; 919871140; 658293654; 219805443; 375299177; 869623595; 586651816; 169017832; 85468028; 234295650; 633174432; 456612714; 290473715; 225164537; 207302020; 976574623; 497601231; 711223219; 729900198; 28207938; 188802568; 277275526; 772177080; 536489772; 261734074; 255160713; 311331082; 154864773; 642591873; 534156848; 642929633; 361198616; 548507029; 503938584; 322285408; 456653808; 206438638; 313241138; 530604089; 359912600; 395623001; 985016769; 260745615; 756014306; 956319619; 486114486; 226011484; 952776968; 721068776; 211857863; 89574523; 943068655; 568491868; 154854201; 254374516; 290677111; 943874943; 650297832; 407442313; 800355608; 316940100; 699819551; 898982233; 336527861; 136362101; 542792021; 888027732; 212749315; 567782986; 292630376; 657083511; 739850591; 84403546; 119488151; 255065793; 99892073; 156822246; 73677094; 545372195; 385394796; 649903146; 884620112; 638412744; 967834387; 659616502; 209131242; 25106386; 229796720; 775148654; 255938828; 843116805; 586210749; 58127714; 516169527; 726503867; 634936155; 435818614; 84280534; 333823794; 449832003; 493111507; 616047196; 293762087; 130617118; 492622282; 7565482; 234580707; 553081409; 977100975; 99654939; 665343212; 156505653; 549987480; 954997912; 489788971; 158024217; 917545661; 948545969; 830665431; 912611868; 143429623; 930602878; 3685636; 725455542; 115330233; 194131999; 687543451; 333859549; 464262694; 441250279; 1136646; 88698245; 69746098; 246098266; 364756776; 540856779; 96174566; 647653714; 191342970; 917273118; 130934459; 751136977; 659872735; 670607742; 19565883; 475570147; 27593596; 834838171; 359859135; 531524179; 869658984; 722233028; 596697937; 278272865; 979559620; 735966250; 34947704; 67504636; 835364258; 398468681; 58157021; 637064931; 668583229; 254183325; 710976264; 515091051; 249302257; 899208421; 813908203; 753606324; 877122157; 951469994; 215743796; 58228767; 762842914; 872302707; 165179625; 328544019; 885335569; 468634353; 263911133; 690194999; 325726519; 456489180; 850066793; 783896509; 31013309; 636729936; 77082217; 929916854; 126108154; 41231044; 210415896; 707867854; 761834645; 627413121; 458101437; 962082784; 811863097; 423212166; 156095949; 673054830; 584458437; 377406435; 277593201; 299030061; 598950299; 178935371; 922140411; 893488690; 320643141; 686867573; 464452974; 236819277; 31128315; 835958427; 845611617; 486436686; 111790678; 718004673; 254459062; 253743542; 515283955; 868486655; 58461504; 995174007; 351608901; 482893203; 296102233; 137781910; 32338029; 254028278; 980655116; 967074372; 846112760; 356346778; 660252990; 988756762; 421839365; 721812384; 814658188; 494368916; 50446137; 595589211; 332873866; 210228294; 764797653; 224926680; 282378685; 580744647; 860261723; 9282143; 879434181; 321656407; 841006706; 587447810; 739605120; 755093506; 388436506; 505465991; 703656934; 10728785; 635916863; 454793874; 652325767; 636830852; 719718254; 128896683; 78785022; 891925518; 852840446; 532196474; 108231884; 824475804; 857937504; 244760542; 93670767; 147077631; 760446552; 692324472; 379755342; 222352151; 430685529; 743925772; 86764158; 570520386; 160787157; 455942121; 396799919; 429843355; 342778347; 123909598; 723149903; 428952088; 159896201; 137974448; 763884626; 757453290; 2438481; 24205579; 700586023; 144797368; 356800045; 483817101; 913362395; 164505989; 900941379; 381677951; 103793779; 51423071; 939450418; 213753788; 15228284; 922158526; 159419087; 571421929; 212551961; 864443501; 827024224; 713409601; 341380004; 917304118; 409185339; 576837402; 428486192; 428571264; 379287037; 905069045; 685446996; 996109385; 292020122; 101334429; 791899699; 762986805; 809893547; 445073724; 114523734; 140185899; 27355873; 434373907; 235715905; 200925552; 780599386; 107981954; 250793089; 908266233; 493448344; 269836035; 725479801; 753226967; 185259470; 599420151; 697830677; 924952670; 903235939; 495981854; 78311135; 601701090; 726130453; 255280740; 803488449; 826549743; 801136428; 396546473; 404831747; 767907385; 175300177; 54177736; 305456880; 535242656; 410004349; 450514991; 247312985; 376764733; 950919961; 451167392; 246294441; 502799991; 802126638; 366797574; 720576081; 437069361; 979272060; 114914896; 406061079; 993935186; 473763641; 361873740; 206640990; 214853992; 796068050; 247489878; 190394935; 692955095; 640597111; 759098643; 280777241; 682923641; 587902208; 12334950; 27420994; 69624293; 352177277; 954989669; 95788719; 473731556; 124644329; 13615098; 8287880; 578646125; 657254478; 730495541; 55327443; 777600694; 998122262; 702175866; 873014768; 931848261; 162511393; 98295121; 601232886; 115101145; 301258357; 276999495; 611253110; 824036967; 837277555; 272463205; 529213677; 931325597; 305294151; 752521114; 685074283; 605885821; 273659312; 848506670; 405432792; 531101086; 636100175; 368642467; 662256840; 344230717; 879218285; 975159826; 319469424; 556894877; 605068310; 438278190; 820895285; 861558766; 321568578; 690124046; 405265676; 541730263; 176446741; 391823514; 791860699; 463180887; 906934122; 669373428; 987710750; 70299882; 352135590; 877674363; 198587066; 356934023; 97062584; 697935040; 455380708; 725874594; 301587041; 655025579; 170363756; 728810931; 282438713; 686540060; 734902961; 859016434; 848984969; 825697539; 789031671; 176613556; 586145506; 259887404; 252985365; 313443669; 489779409; 302381617; 828924026; 85781984; 190987074; 996167556; 522188209; 393224476; 155895938; 870851806; 552137419; 561884602; 486241685; 345792672; 723057732; 831512132; 205022548; 16454387; 404731997; 292655534; 391085990; 779670218; 94016446; 737586401; 247310174; 81834609; 365049723; 387915321; 353646166; 852666552; 689319213; 951029063; 760930084; 148958843; 301412893; 739738532; 789664039; 140035664; 662148121; 505621762; 865562097; 888361534; 670072765; 307598968; 732206707; 576228899; 787231305; 498225983; 583754872; 486618012; 975603446; 244459595; 540899403; 792639454; 280676309; 141987025; 467776594; 180251629; 768206582; 118126291; 887918115; 518669482; 781586627; 723142551; 698510657; 468861451; 109232275; 37221369; 489959703; 296800020; 435890414; 681518672; 954584695; 113281501; 277101090; 457759507; 625687994; 131896152; 942835310; 450713478; 338436019; 552523589; 513639196; 998413756; 809638850; 404269581; 504405117; 599624059; 369647093; 21570657; 945109320; 194650036; 396593382; 222726005; 418060053; 215513707; 343107059; 21204308; 235733707; 553124419; 616736700; 462018288; 641813106; 512387696; 246669411; 302865765; 223152610; 106295212; 119487092; 430764110; 412259648; 361984064; 375396555; 71242730; 125550121; 58145652; 475515109; 140887458; 774979493; 168690606; 440837973; 807787082; 721620558; 631167718; 169150540; 143828252; 591263086; 499387337; 995227704; 490322491; 26025295; 264142419; 67103855; 453691272; 174686654; 570794586; 689498507; 133598800; 918550657; 47735251; 238790543; 870692177; 670359306; 407154767; 684453453; 217146683; 287476385; 495044032; 471448050; 7223013; 317006333; 37530063; 804959056; 404599138; 251360640; 146578301; 781081617; 706655216; 817297359; 843294231; 209906299; 814007061; 755757415; 89941950; 59721151; 315561143; 758934294; 409466167; 660660657; 978021895; 901321464; 929635608; 438839981; 254264201; 497491634; 790716556; 552980336; 881917005; 237165173; 767811125; 365793954; 725826928; 804355551; 834573482; 148271769; 408541240; 34551960; 353740286; 402239974; 661510509; 633009669; 919775223; 437799739; 562776889; 206626261; 955039298; 816286844; 424409939; 479286450; 489697212; 945280258; 793015382; 943721195; 740383091; 674358901; 592130739; 160657131; 962043680; 887943659; 524683841; 886475274; 33257275; 490009721; 154838886; 77746197; 444696361; 485029311; 545963479; 878796815; 347275506; 479596455; 689938739; 953707214; 944880896; 666993429; 449585211; 460891005; 72601608; 633219525; 229340387; 447182634; 302183131; 165027110; 589461617; 396040097; 349037943; 261245413; 769696224; 301954540; 725936261; 108716149; 846849054; 397007732; 480364744; 35189175; 379418446; 831380226; 285214700; 869339760; 217119711; 251626738; 781349222; 226349189; 955992516; 765351188; 880602888; 311344227; 488934278; 884613409; 181076585; 620552099; 422647001; 662670947; 876736117; 320682418; 289471147; 905292709; 108794144; 112542401; 369019507; 362634417; 429077491; 573066637; 423452858; 324887032; 627554738; 502674440; 452547380; 755426586; 422794575; 251083667; 298823852; 791950296; 677042167; 143310839; 882624153; 566512560; 276394136; 202652316; 786602983; 320157612; 119356137; 945561814; 26091245; 219796233; 247868133; 744959302; 814842606; 62656827; 930964748; 648246895; 466850249; 955220569; 570813789; 309784565; 376675125; 106808020; 353476724; 374417394; 88631301; 81064138; 177123124; 545508267; 118718517; 654485994; 675237145; 66164288; 913911677; 61944757; 74421542; 604519451; 267087275; 972364891; 406722391; 286056419; 11104619; 923648315; 20206942; 854001414; 613339781; 870535698; 284258446; 365035512; 570837376; 986037007; 681155033; 497792285; 109057244; 244656174; 856746709; 448198132; 981535584; 648729844; 33105424; 855575389; 838278815; 992083314; 545022780; 140790648; 196451814; 842532313; 181625778; 602787657; 678406100; 597284918; 159045103; 619023827; 304286473; 606731967; 988883497; 501326358; 874188302; 426506018; 953146638; 197973976; 488934664; 889452014; 593669770; 456215545; 816749260; 782357513; 178662900; 452166781; 836045353; 314648104; 700907774; 481453531; 796092525; 599161908; 494954101; 986071926; 512933740; 323455666; 65308238; 938387207; 227284118; 848852708; 754053877; 652774876; 893058592; 782827541; 353255788; 509633260; 452669006; 740829361; 34938026; 591379202; 101957406; 102711973; 105917028; 454529323; 990781017; 546817355; 179844021; 558898106; 442140477; 175973614; 430116020; 185241086; 6818434; 901305907; 996904133; 347866314; 598067930; 420997785; 762195634; 310411942; 415653382; 29212306; 312641324; 521727923; 303864059; 442481456; 317932037; 556498903; 669289723; 221077531; 278085653; 156522314; 364874138; 108839522; 942899499; 546682044; 673462477; 933582168; 810413905; 565849347; 505367645; 846498493; 389240450; 231414339; 880994386; 788938691; 876143799; 134698526; 739983631; 95563098; 893503287; 959544312; 467263941; 872713599; 728418482; 511793689; 533836153; 682213437; 499272915; 196312233; 3753537; 3798486; 732185706; 82807340; 487844748; 47314476; 968290563; 845847094; 713516936; 538112868; 641406946; 74588438; 702750124; 879875828; 971299442; 886025782; 975029374; 344190849; 4885099; 500335638; 606475193; 635068903; 553749411; 584754753; 991561865; 136940739; 112461045; 773120673; 442919196; 756658834; 954178863; 342335309; 874153781; 398350266; 281141911; 186846473; 567449078; 459785552; 51376417; 860163299; 878202191; 670226912; 910085553; 418859204; 695945723; 846328060; 655860837; 686446182; 580428906; 465831479; 284592704; 707908027; 975262090; 991182082; 72808778; 584091244; 209254587; 564649891; 883941526; 669638442; 458824130; 855310432; 243757999; 364212989; 981094036; 249701842; 752429670; 840332721; 146933633; 29658099; 139390809; 35371723; 951293186; 553746568; 267733516; 949642255; 153176934; 171471849; 117168761; 607435408; 393285553; 129120886; 489186096; 464592118; 672370752; 313039692; 162896893; 238923014; 152323229; 658115965; 821416207; 676113728; 244788938; 52794614; 651470095; 980518206; 252510674; 350643162; 763811687; 531927943; 454416798; 151117452; 902987953; 590799963; 442077733; 160249814; 253867721; 527311765; 535798886; 812339920; 224757523; 36428221; 662520122; 648979121; 358252502; 285114776; 933990874; 452291624; 347837423; 496242472; 327899043; 72982800; 177482180; 160818166; 850379658; 510106919; 472599344; 61188782; 905783378; 916946202; 36245111; 563328154; 789589322; 809777891; 731946831; 382370178; 128202124; 193717575; 522799482; 611583118; 83707396; 729357122; 405124020; 215183177; 580413973; 418679917; 837331614; 873510627; 997881836; 358775199; 238725650; 888770306; 960932551; 837152151; 362673290; 786649188; 973140959; 58592421; 727328072; 228714547; 147949105; 656932553; 499522285; 979283757; 16679427; 897350159; 939117139; 210078105; 747426248; 425802195; 571359916; 947782918; 207960865; 979725385; 704622643; 402163294; 109819574; 924328507; 225142771; 477490928; 435344015; 924556680; 135514569; 900183469; 770267984; 690371836; 379815502; 803896312; 859744226; 880071720; 242338870; 339537199; 542968898; 358755635; 682284404; 389632732; 701216806; 411790361; 479684223; 714836463; 319108229; 318616121; 59201325; 698697545; 713775925; 911440631; 900851702; 994909994; 120660464; 495645885; 317750234; 856191855; 322117928; 212499154; 921090541; 288119885; 252453927; 90828626; 373200522; 496768974; 778556257; 187976376; 920759121; 143932017; 870692987; 423186292; 513852559; 605972342; 463803510; 930278523; 403577940; 160538352; 761988598; 34806325; 494934469; 97287561; 913865289; 525666830; 217735145; 405021370; 804290824; 214390161; 362953443; 742031615; 989790937; 80256306; 785890068; 127254769; 680550144; 936704702; 331755468; 824978201; 568088207; 625804262; 771614419; 386240510; 560293677; 394016189; 487611956; 895957316; 544760666; 244804967; 896322319; 56315573; 361141307; 286966090; 292200229; 317144568; 975961900; 21856705; 13438971; 581763482; 536057155; 908483139; 159674950; 371983349; 651029438; 249466348; 870632791; 239908497; 661579841; 535253232; 685300665; 281221814; 64575962; 231050977; 52170623; 500685715; 51804691; 1404911; 941168479; 493126726; 202152416; 151875211; 378787584; 249580285; 281760871; 900199133; 787541311; 476968205; 282712963; 178544109; 513583522; 482459054; 228825644; 56180844; 750643387; 467735755; 574102746; 5333045; 142772703; 139903714; 378150074; 604798426; 13774957; 793815377; 433032845; 859260452; 541829594; 254286818; 480654242; 899520187; 777595747; 737831863; 235570668; 79402550; 389058645; 469533840; 824341802; 962130181; 626141511; 543156603; 525427626; 941966893; 788584693; 977490552; 908464159; 101469303; 204619689; 445150028; 923169729; 987240505; 760665958; 595626940; 922392152; 359153306; 4381277; 294903915; 888383012; 568737050; 705314315; 212043954; 249906736; 943284205; 163945594; 159429741; 512653994; 447539493; 245128752; 991417496; 301766226; 66502865; 914720780; 165700431; 670946428; 26407354; 991948170; 206696220; 18591922; 517381263; 837938103; 995569622; 761317079; 64464575; 992726774; 106695521; 76071157; 359158219; 575982976; 356592265; 977156958; 81647354; 819837220; 877223483; 230849427; 543770717; 21245359; 834548196; 841850681; 499968089; 972828454; 110330487; 323097839; 226542005; 815592661; 764298037; 70604950; 153704308; 769389121; 751088136; 188687853; 587494454; 762197903; 729943324; 414117866; 759585217; 876297823; 707678255; 84230063; 385304279; 976709658; 802521844; 511877623; 180843000; 546110908; 357335999; 76746037; 918288533; 88234988; 811052938; 839844379; 60718371; 813348929; 704224454; 776344264; 574031941; 855635783; 599903221; 505228915; 734029360; 572003372; 972816961; 741734234; 17719173; 198376178; 433344052; 222067795; 649137331; 115288736; 825994177; 273477875; 485987050; 474635913; 650328805; 713749096; 315673329; 819068887; 449870384; 831491018; 788857904; 652534248; 54210088; 567699491; 412179179; 375406596; 339532731; 413467150; 87985504; 560802858; 170648584; 513959401; 156120872; 743842935; 120948221; 885234250; 746549993; 282249770; 424827599; 739310707; 998083861; 376466078; 153123319; 247314385; 899419580; 901313295; 192913455; 288730775; 486568012; 59176822; 249664482; 552315300; 745197916; 547751098; 454359106; 541950164; 808333559; 684934034; 580585551; 12928426; 42888921; 288646884; 431620237; 516219862; 469880754; 624166350; 935507209; 787331643; 249632282; 120433639; 941759323; 840389204; 739687963; 742882317; 690872363; 811628383; 582842443; 735893773; 464008507; 818734688; 943597945; 110384116; 221034400; 449503300; 934514217; 897276446; 54042732; 400347214; 712864439; 867678433; 394676046; 488588580; 826495002; 862816217; 859365820; 783737544; 978174440; 476678375; 737756762; 258081128; 838008823; 71106873; 427355688; 174846538; 531021291; 589090326; 116394984; 652197602; 48087579; 776243343; 366109923; 91064273; 888216042; 287028337; 655385682; 382804818; 920546135; 159247205; 713285454; 25130336; 646970842; 316100822; 397862946; 566088723; 733333640; 205353559; 482820043; 506561510; 562285384; 968092480; 684611344; 31439074; 413002757; 11318070; 183555330; 314784779; 906577685; 573012915; 696979517; 996032951; 721974607; 943600346; 675761461; 735248240; 485046379; 10560545; 856115556; 368972881; 86247104; 149438652; 243366157; 944475931; 185602460; 410923664; 144437286; 589988818; 281386883; 826255389; 877180475; 150111753; 918941174; 830519674; 292651458; 617059982; 805626835; 355243266; 175819045; 969383459; 601301297; 523733223; 952612061; 68196406; 388920097; 675878929; 558494114; 948258885; 102683784; 710705116; 340282324; 802743606; 505728733; 882118662; 569553911; 261763830; 194957459; 203313621; 824005795; 545942601; 146216328; 317619223; 596622874; 864863993; 88197288; 130677807; 619401097; 363435772; 423743219; 620379969; 944736530; 3057090; 929389005; 684949120; 21282331; 983246527; 54862192; 879534012; 272135482; 737238353; 880213923; 484227833; 231193014; 524166777; 500829056; 632448443; 655660913; 238315612; 497665487; 37492976; 94805082; 521940084; 873942002; 280484652; 744575707; 848726793; 954006855; 456650725; 330642918; 269229745; 58862551; 53998277; 562228552; 596080031; 851610753; 829225593; 911256498; 783696277; 885900941; 575957242; 679205122; 250386215; 482657082; 871413067; 932428399; 440690149; 419972824; 368658967; 341410380; 852737911; 512975282; 802438385; 204947000; 53795990; 907421541; 833476422; 17897168; 73191484; 258816420; 919628577; 695361790; 501248480; 965218670; 722196544; 387640308; 532929678; 176362623; 300035958; 409555775; 445099460; 461332800; 85506479; 209397837; 754496766; 854861793; 767634140; 583454317; 44592486; 605955918; 308280773; 254412108; 161764284; 407615881; 227818633; 453515321; 242331149; 622317623; 317534411; 445846642; 216302006; 682265996; 769480607; 733441398; 345609594; 333022359; 723336628; 124065258; 324627270; 949147849; 868588258; 460190091; 891590663; 371329022; 233634427; 388830095; 935829914; 109925990; 403657738; 84656024; 393438207; 605254046; 66446398; 318287411; 202786639; 486038302; 173366410; 387579212; 16219452; 130970295; 457123653; 207974392; 697370709; 247091419; 693851011; 154122021; 968790234; 537729643; 785063539; 712924506; 224873313; 564570193; 793814400; 725032053; 671104592; 228132194; 981593256; 249252507; 24756327; 679947608; 262304832; 892568385; 506165821; 536860101; 544295896; 908105577; 206976793; 422367480; 345205613; 353383787; 902053476; 310550244; 724871644; 339782356; 264678584; 559743019; 598197265; 613295328; 565817125; 263716362; 148842316; 791935059; 340560800; 647609895; 640333074; 670917529; 741816263; 387732698; 654057624; 471224144; 400983004; 248303715; 895193060; 741654552; 702773481; 455773903; 989383658; 794666324; 615697762; 76008713; 902322780; 833909842; 568366969; 194664830; 230008047; 840767544; 354370256; 63027273; 888066917; 175656521; 11445824; 321601794; 97246519; 182402122; 295803320; 164325535; 460764790; 172241145; 925334383; 452098023; 951831796; 816458358; 254028331; 838055453; 842820593; 958246646; 232675906; 931644530; 966843696; 190726319; 337876763; 308428602; 152246316; 793572725; 331600747; 238342747; 978472520; 445977650; 771590032; 429402641; 356265099; 813114156; 435668554; 328775177; 826162490; 15214292; 980982005; 448801119; 770810601; 194213856; 519180718; 763444478; 38277670; 855482284; 126075838; 90472074; 109847947; 355676621; 299051294; 413079091; 748984016; 160364924; 537732304; 55246645; 339828442; 91460745; 681765440; 938499409; 600785349; 489774063; 422142535; 416909283; 395093071; 966776880; 351764812; 244338638; 410476495; 365196757; 413709526; 81989617; 977315678; 329596400; 978057906; 14044134; 218619731; 921812069; 199543754; 158763032; 151830804; 557448191; 920228698; 748473248; 254004579; 954640679; 689740041; 259223311; 131677030; 714287030; 708480969; 933011715; 62179299; 126917010; 389522027; 538917365; 557491392; 708306661; 423883500; 749101504; 712563592; 472870219; 985292464; 910805360; 640098480; 528287005; 917048301; 23737464; 942989119; 535490966; 352028148; 147796860; 493999454; 992837122; 259524200; 675629121; 912346197; 392764617; 169064049; 950208454; 258894607; 506178071; 105973942; 415171238; 101994024; 511335945; 71611851; 448722378; 973131989; 606642598; 192731803; 487788928; 408577674; 680996656; 377786811; 418261155; 272516239; 82659286; 335625756; 968276064; 318741763; 380979081; 856612603; 319696172; 877427358; 10022181; 440682877; 14256092; 442746377; 305625023; 414657842; 428546312; 257372516; 907178853; 774226775; 450269520; 318707109; 528706776; 314782409; 272917130; 182749173; 103771718; 771392224; 889362750; 322038033; 642056045; 769863562; 413570108; 824974461; 995118222; 268027428; 843790934; 208013332; 437910018; 684206342; 411926993; 811598108; 117752427; 275112328; 945694436; 920446810; 705246118; 303657750; 689000691; 107613705; 545621231; 774349584; 619455526; 239661803; 858991489; 675518171; 823249428; 973500902; 400504207; 854189613; 34632725; 568977308; 174283618; 229662878; 747442705; 684076390; 381359947; 477478599; 61349772; 209620104; 838633941; 598683227; 262652577; 282310021; 248452768; 988284317; 90393353; 704682389; 555652558; 855520663; 747301159; 677639742; 344100361; 965513939; 352501075; 445290248; 448308832; 965344280; 631729169; 335295721; 341560803; 514256132; 318430082; 698443260; 942878596; 392659042; 739956794; 306052988; 807077540; 967363701; 900572000; 684069416; 159136849; 247879675; 256296969; 451820528; 507233518; 495305849; 649312214; 950482152; 947697307; 757442036; 850341810; 731064131; 750231994; 259284933; 196597955; 83522720; 528272710; 905042751; 486525609; 485117201; 700555441; 193224048; 366945903; 637120070; 783027950; 26463423; 901660662; 523485361; 28697014; 431341136; 79670929; 500232861; 142203695; 115251379; 713618100; 363102328; 715379616; 769176714; 166465372; 511700037; 410395875; 793831882; 951682630; 981188162; 25207034; 145162367; 694604000; 572227300; 517241614; 763444789; 581340979; 951576200; 470194693; 918743494; 295985518; 929157380; 930847133; 724629772; 139982499; 62984224; 805866811; 306254984; 83217978; 113738620; 345338308; 668447623; 572662225; 35189229; 871016735; 364888927; 157081238; 945826079; 785195784; 384223971; 942005942; 96764265; 131242563; 109899630; 311996657; 882660605; 732076008; 47875581; 664703669; 823724610; 900119135; 271622520; 496872456; 365668015; 949067023; 408777403; 538363785; 925362418; 29791186; 706656108; 477683040; 944506024; 339953711; 719761163; 381296863; 936025500; 940131332; 352688994; 109673784; 633151318; 423673261; 405928200; 739859920; 616623775; 134826231; 946523066; 440173070; 201273999; 851102543; 187256004; 312423371; 38875908; 887463000; 3503832; 387199670; 244824157; 311946288; 981309406; 127246463; 35799916; 191353155; 130469630; 985033755; 574896099; 572521539; 281538238; 832869826; 867315361; 254648462; 973774234; 123825784; 569653829; 39035537; 104962316; 876438037; 377217212; 808328613; 845998404; 64535468; 102282502; 122900356; 214608267; 678454755; 932471769; 894645798; 873399727; 464805901; 563015566; 660110145; 893765478; 727138892; 462153990; 297726136; 697681310; 753683625; 463981476; 771643849; 127355052; 322863606; 2262938; 191714188; 185036580; 69425801; 2820816; 726010154; 633977627; 286799342; 329675561; 258101316; 674906355; 697881515; 936106667; 71262158; 72093230; 585375963; 223517490; 380065365; 125733941; 185175926; 352110624; 997708859; 902421103; 381277720; 387208173; 999886767; 433663407; 229614454; 508868076; 616807437; 997917214; 420481549; 314486592; 641761300; 39364810; 348125280; 93848129; 500985068; 265348944; 404504872; 178828217; 802160216; 614256718; 846122876; 679647044; 864688911; 638476433; 663537890; 429792826; 537794680; 111136156; 629250557; 275315198; 294685531; 650249552; 915921636; 590255399; 80646240; 627704077; 144347005; 824349797; 812984585; 994414631; 209882779; 833710718; 611404349; 963009823; 63541503; 77233503; 860330713; 308352582; 544554588; 783316880; 163382272; 668889060; 128985667; 925877052; 598257156; 529778657; 128430789; 955232877; 128700; 80349701; 251612752; 999763861; 835482422; 264543223; 798564130; 345165800; 638446335; 164999739; 749225798; 880709428; 432375294; 197583760; 927520111; 391232979; 304510800; 814207782; 766728882; 769353452; 95615545; 862830753; 921838285; 438341795; 912688204; 850470367; 794142568; 774453024; 890312836; 111788379; 810157; 385269309; 806664647; 738798769; 321720812; 397429559; 285323916; 16861129; 502082117; 500584115; 174549172; 370304120; 718830285; 344649166; 697348032; 932602849; 586506483; 275116303; 293669235; 884937310; 746603521; 506523972; 384060315; 182590934; 301774905; 133133022; 184594956; 879430538; 2038938; 590681068; 267117226; 955482146; 881527870; 751787332; 639238909; 106360909; 762164345; 160475819; 218960008; 281707110; 653642878; 291528929; 53579768; 175276056; 822006956; 37926288; 881841337; 694515423; 544110593; 44597251; 918862845; 531750628; 494668365; 440201415; 695085339; 224893935; 876107861; 882827194; 35335009; 218068667; 171364598; 515274083; 705054170; 591867945; 197725680; 32259623; 523470334; 870143260; 771300523; 575784771; 805397802; 456522344; 347239952; 449229168; 882409565; 226270736; 22602079; 787595245; 749466240; 348939768; 337334755; 39638608; 854090748; 930304340; 652114342; 437581760; 686528533; 258771193; 381223123; 855932759; 338204580; 890715163; 929021218; 423042889; 524534325; 622418076; 653845432; 923733807; 430453486; 608496317; 822992802; 851391791; 687669279; 861917975; 981663410; 403939953; 114642665; 407861596; 703360894; 281573612; 874745742; 332300994; 920660729; 673296896; 473299407; 871182245; 742453285; 32303082; 637698115; 309922329; 512596718; 174245852; 14592485; 430674126; 81931891; 336037481; 522276783; 532727431; 879294942; 543926451; 542306614; 262118888; 91759457; 741720351; 705491375; 703307775; 630986275; 476803671; 58356822; 973536119; 384916859; 830043503; 475955053; 445156617; 685369644; 972171710; 381357790; 594955442; 641301166; 669583732; 151110314; 122513467; 825536648; 61798897; 619607828; 139681312; 40017872; 42526746; 762686940; 623216423; 321602560; 847723293; 642172594; 131104479; 608907738; 438120754; 635065113; 356221645; 283980573; 517035742; 265742780; 831068701; 451169548; 554768749; 797506972; 958875767; 163739725; 740987184; 836383930; 504505026; 869214651; 285917730; 539539603; 12040476; 741770405; 245066216; 750127583; 270600152; 152717269; 543149391; 324316214; 560656728; 569888085; 709226977; 722532162; 806237210; 568948756; 727569017; 665430942; 673913372; 965985082; 411152767; 105080178; 797630901; 98835914; 949543399; 987140151; 239715237; 977926399; 917238705; 644629853; 315261824; 185175100; 581810049; 291736736; 788305306; 626134982; 247481272; 266973130; 330732457; 439259257; 989610386; 416587897; 36851835; 335961673; 758855607; 961515146; 448486767; 457670344; 216771555; 651355235; 864484555; 625886304; 678167696; 98198178; 617614858; 122180256; 243660051; 172441807; 654085811; 867125175; 810152371; 100921472; 419735394; 625189788; 424950610; 735863858; 157795894; 685320849; 30717151; 517710009; 156743164; 857428017; 222361332; 605247789; 812913695; 873720664; 57059210; 132314601; 616479199; 433691497; 427897623; 190246301; 727680809; 126656621; 530348708; 399542028; 744188470; 261174226; 239511018; 37315222; 558259197; 712667221; 390123681; 68436236; 77094373; 955540657; 479513281; 921313234; 402966769; 668975742; 928066976; 48174814; 325109749; 880495439; 357113227; 116916359; 243616187; 422016270; 922207251; 212874699; 124786887; 395768726; 293876385; 369594896; 81260699; 546646590; 975278228; 800427611; 449811022; 459410450; 402125056; 831283513; 37495652; 488015043; 742742790; 840808700; 693960677; 557791072; 681033200; 200847345; 19838786; 593451935; 122622020; 106655500; 373033515; 688540551; 104378388; 581426371; 584463368; 718568544; 127646390; 717583279; 645626251; 591146316; 775460503; 92412034; 170100961; 825764520; 869012208; 464577533; 375135727; 743533286; 40492962; 94461370; 273929227; 663917843; 758773074; 664172494; 893832411; 427326827; 670097112; 190887713; 173807789; 982743582; 215947260; 760608162; 730674440; 46674450; 903164787; 361479928; 88879931; 820165303; 663750787; 400231364; 185959629; 963791906; 590232477; 315354128; 33331520; 176829264; 923576202; 196156334; 697581350; 626375012; 404787605; 640763847; 930927503; 328512526; 811996542; 653470381; 794246178; 211569224; 40478865; 227869437; 488832447; 320712038; 577163685; 286929019; 855914972; 394641497; 266222326; 688396814; 237951474; 474647182; 747598166; 647104170; 567216984; 828889397; 427247119; 28659705; 459443657; 587167564; 264951327; 320890717; 368234864; 47777410; 452453038; 921286540; 560547196; 958411597; 820361374; 371549303; 220074465; 486445902; 995537423; 615477603; 999817851; 585858374; 505847325; 602435131; 991353075; 90224972; 388724876; 530205587; 208705459; 978920991; 714222546; 378704705; 867211259; 131135897; 34919529; 552616246; 760447980; 475958905; 347189443; 338679637; 614837889; 622273224; 152479006; 95256598; 155838430; 290560300; 188239608; 265842987; 352830847; 807295011; 918909254; 644520085; 819799815; 807294323; 48741207; 387624044; 791954730; 961052720; 813822603; 600668452; 447819241; 518358906; 37564246; 923326816; 544867615; 307807045; 445858007; 248232427; 454738699; 39968256; 889315128; 79043969; 442767786; 73433426; 628011229; 785470146; 642193942; 881556907; 572690886; 653910656; 927090798; 559262750; 168725739; 323619038; 349233080; 920377628; 893116861; 331359102; 741675202; 85892562; 878833251; 978240009; 437581441; 956968588; 195127647; 987073822; 673920036; 180080352; 825111958; 185500967; 186134329; 94873339; 407693504; 698935924; 684831342; 782444163; 17742704; 123630431; 275958888; 571828338; 361899968; 349618415; 128343390; 610410179; 706210951; 232202646; 107643413; 133362785; 368633009; 414950126; 459331484; 764217865; 968854625; 33576192; 87977043; 119603327; 818420617; 208147329; 412849925; 966439421; 19261629; 837812073; 211503748; 318617576; 366458523; 279978993; 238148943; 458787494; 844460344; 819529433; 716116339; 766346722; 612079361; 466883122; 38768749; 668596478; 321689783; 875859319; 732243382; 690443533; 737518094; 618741195; 540577597; 17067091; 629026951; 306211025; 115873160; 998011411; 853745809; 616127598; 734669703; 658766328; 182166568; 776341604; 623278328; 597293638; 544183780; 922294873; 374265284; 570470761; 419754042; 759350557; 175999503; 116358094; 671865539; 377817509; 933703054; 291359294; 988847998; 810434930; 619014530; 94086979; 150766695; 581908493; 729661839; 867221695; 479105681; 8841617; 921614194; 713057443; 842290960; 586311329; 29176592; 587017613; 874544882; 280643074; 906791035; 785750528; 283148162; 12187136; 194655973; 43309834; 477330976; 133251619; 98469121; 752759514; 794303233; 19094212; 831406988; 66186066; 204352028; 987420632; 91366895; 90552169; 248685431; 627916193; 717092819; 999244467; 837258056; 975452249; 918408080; 372155467; 550737082; 877496210; 396804016; 5468682; 820722114; 559965445; 417600280; 280048792; 767380121; 853167699; 116734490; 419225678; 159662091; 688883249; 251684835; 778412921; 636217921; 774208309; 271219763; 36792462; 98654136; 208518775; 528445879; 57723910; 628952593; 467423542; 605815403; 197659164; 813305420; 21986121; 953049163; 442187677; 260713906; 863133348; 474441761; 587590062; 922051441; 250498541; 665676883; 953186200; 659188410; 756531726; 866396295; 726376117; 645436762; 264030924; 415783292; 976046457; 377975358; 746114090; 777838489; 346914008; 182974702; 531492362; 59867346; 839500544; 665630650; 396608053; 378032483; 929256120; 985530235; 316937351; 274357663; 737974303; 709028358; 97825036; 608162639; 910678507; 286634391; 306816368; 453174146; 288246539; 727770263; 180442525; 596076757; 640003318; 537775396; 974491915; 246294504; 741267978; 721832951; 118106386; 319220458; 813232871; 255882537; 406915683; 917944079; 578604217; 541810101; 681666858; 22483301; 244260246; 468851005; 529602079; 819865439; 552431281; 347912230; 591541617; 254501166; 869031648; 586929810; 763414540; 623329786; 15562637; 19383800; 573515579; 405695436; 677831419; 77125076; 597516288; 114973785; 365159060; 85253869; 181872957; 846539000; 869944897; 426463230; 596071074; 789936387; 483566722; 734888840; 244436691; 597733845; 115881726; 879935515; 888034669; 675448506; 164140971; 771018330; 968541769; 157136987; 785205516; 219479274; 24423877; 435751612; 546097856; 733407154; 227161648; 367955487; 684885180; 550122989; 960434773; 787978019; 28096113; 159615158; 556525625; 935208301; 850825835; 758043798; 558723117; 260357670; 832376701; 551844912; 9037664; 70126641; 972974109; 443826219; 989096137; 721400349; 311307122; 676385871; 724430806; 792623434; 608104757; 266738125; 539629022; 884226369; 843292947; 606497020; 238996751; 151091091; 65802764; 586306478; 755457071; 325481320; 682620539; 461271456; 785189439; 985889856; 287018156; 224168359; 568325280; 92320195; 406228944; 476828602; 58690505; 463186163; 49392113; 492110736; 28891896; 54557198; 56684131; 15350761; 884056248; 489247276; 242464540; 871240281; 188424735; 586959990; 492756594; 580649279; 734223054; 986824993; 466077268; 213235395; 594503681; 192444036; 519385543; 863633155; 632958168; 805228021; 597726784; 445117631; 945306305; 652218659; 702207465; 928911805; 984482742; 584429906; 702928876; 962292494; 952069223; 435485092; 977705066; 358987145; 965879954; 846014219; 583044688; 221506755; 376581195; 901195607; 136417385; 471448395; 988727094; 720939150; 167683559; 289287305; 237062080; 227625425; 95765024; 523019585; 911131599; 916657507; 235744473; 264586789; 650375957; 21278225; 322877419; 534956862; 65142945; 207164080; 412577293; 236698399; 415466325; 35044311; 607500564; 323521473; 104546821; 493836617; 627732955; 244929518; 194116809; 823735298; 75412787; 286333094; 575738484; 406552821; 949876463; 454033455; 127615716; 63599387; 248902419; 543283401; 827040942; 597088274; 464663718; 70801270; 503694485; 739436130; 793351815; 86187037; 745793826; 67757025; 815178335; 804185060; 396509277; 352558005; 584686909; 426204879; 662205226; 30645961; 574226735; 898725912; 417490804; 627656384; 989039546; 529838682; 148253772; 57695215; 83485749; 920635026; 806247634; 496755410; 739373926; 493671140; 476056085; 975397154; 673924673; 110949088; 24956187; 275458074; 191202126; 875503129; 624102564; 993448207; 135230123; 444620806; 978740284; 251544104; 606062024; 218217864; 470875597; 152047928; 83756252; 992479154; 663075320; 799485823; 938344264; 537932167; 945959906; 371193914; 432098964; 351774996; 522865845; 558241995; 800205675; 574721633; 792016903; 625733095; 683430121; 805172678; 750865396; 923208764; 635499644; 453445541; 277420911; 76921109; 836046427; 760571086; 751629600; 663474170; 322241151; 576611210; 231320655; 289673826; 656395732; 265844534; 298931073; 69939028; 447549195; 259878972; 211513085; 552119613; 338657612; 896992981; 271108571; 644853908; 608210120; 667562036; 605439405; 175174104; 714074195; 296878134; 364310949; 349462631; 244966883; 131813135; 258534074; 640223262; 393015697; 959432959; 504637734; 29582834; 607207112; 886849226; 984945956; 427864287; 372464490; 995938842; 205040759; 587438732; 364189507; 634487581; 910802534; 20723340; 992832600; 74383618; 540255983; 178643940; 515304333; 697002019; 891276032; 457279798; 880330865; 156196674; 671464386; 353694316; 616245022; 452584318; 865890288; 692213815; 192854694; 784024323; 526380404; 275020369; 236611918; 167049483; 470125573; 886696210; 128346577; 123509498; 501322194; 747992671; 589325131; 20557281; 267752541; 544445034; 478619007; 358665615; 642544898; 310575894; 729250131; 218718383; 685840054; 755182505; 161335747; 104779653; 497274556; 112539584; 140604702; 722724249; 114978663; 882951608; 73774842; 27515275; 949613311; 822293288; 480843927; 398687573; 557313357; 747278567; 478299696; 730036901; 482774309; 315100133; 326398075; 754929374; 22124239; 308812122; 185080306; 477269220; 934807130; 462450862; 461216332; 555045415; 838890931; 182626124; 798241483; 635710947; 3955116; 635089401; 203974469; 403642; 441094613; 549271549; 678094364; 225244265; 502058387; 827555373; 408597422; 774374424; 78564984; 986873249; 805971185; 488113118; 296890697; 188678363; 650534508; 939023656; 712335322; 1592039; 524604504; 827735120; 98905262; 765178526; 321356743; 805457688; 615850837; 344213225; 473866428; 789428627; 327163611; 814095241; 203768296; 307074401; 988585802; 103231948; 932858164; 963300965; 739997984; 803461939; 698695066; 822233733; 547119767; 770356325; 69073489; 713214265; 95410730; 99055474; 2506809; 265734513; 902491601; 597558802; 713499292; 26574927; 419279433; 885266562; 42856806; 811468396; 259578171; 65762810; 934752106; 934317321; 750743497; 800617882; 27784585; 365585274; 630330414; 322082518; 508054707; 499706678; 441666197; 291394971; 214552982; 417449979; 264242186; 507283058; 974467940; 962032555; 100050859; 326994714; 653190982; 763058455; 112788398; 534012987; 881285456; 706659382; 680299958; 14270206; 536762174; 8670249; 645726452; 231751588; 72834745; 671214185; 158038351; 485580632; 814400712; 160539216; 638678275; 116343253; 432145349; 733755915; 375566454; 574020674; 945942401; 994671464; 726138910; 90268414; 572758825; 598776869; 664942258; 417223974; 528151091; 52039924; 519505567; 715151781; 577293308; 569467608; 923947416; 741666250; 886163163; 908765625; 584305937; 886605588; 197920972; 429716492; 600676760; 89791971; 144690243; 177067030; 838705323; 567169154; 853754432; 818506794; 978524416; 244814710; 295072036; 300511460; 661177167; 465430791; 387806586; 35178273; 966404691; 322969652; 317319303; 271441355; 249613386; 774996725; 770230632; 705096114; 875514064; 514480519; 41870930; 386588785; 631355561; 809381170; 559659682; 987435199; 727449648; 27885941; 286982534; 376452376; 806312998; 763820150; 714149379; 590347896; 275028487; 301792224; 875431535; 154842297; 499239850; 996979165; 442051087; 660032634; 855066738; 817504431; 594899863; 839170061; 574808810; 910058025; 202445624; 819424614; 604506266; 187593671; 795458782; 982408627; 190388222; 66539501; 819894552; 109449551; 551815730; 138427707; 718686425; 325424027; 853298335; 350635873; 254271870; 286420730; 378063951; 757812959; 179863611; 512278302; 604208473; 546119390; 408476561; 975885089; 775155433; 912560899; 361528907; 224213317; 785818728; 382330574; 593435055; 3049416; 342341873; 223660904; 958324914; 498445820; 438784467; 23609675; 670801514; 224128342; 915855771; 568204873; 112674180; 494010177; 679930327; 276321998; 95748372; 651481466; 293729616; 622287685; 531897402; 234970010; 167623426; 976591775; 48464207; 793046571; 879302867; 939252967; 900673271; 764722449; 400670317; 390298060; 741661107; 97291975; 615860962; 374917427; 51141771; 90366775; 549996110; 56738575; 804432113; 897318687; 872741699; 513817778; 646317692; 378340935; 586502881; 939111789; 671310899; 773042077; 316117506; 119832425; 126550698; 322357177; 677955060; 139594989; 66660934; 98604438; 286056356; 413506561; 967271786; 925185029; 547057289; 241234799; 20973757; 303756585; 570469771; 358458676; 642875309; 202033346; 395514480; 127340927; 130155927; 622914628; 263168819; 607135260; 772431455; 805329271; 405730914; 284552024; 978725660; 750564148; 887972248; 521369553; 213319637; 725733271; 196138345; 77276052; 16120543; 183087899; 851836881; 978857989; 646627237; 390044860; 532365562; 68956352; 92151982; 382082281; 279428743; 568550334; 541196261; 891383701; 595643416; 816782801; 564628579; 808504904; 332864535; 43646124; 712669536; 692657966; 702252816; 728252287; 921385943; 291011040; 861432503; 844316702; 703608330; 433124203; 137728672; 912260831; 10788755; 361717181; 603583979; 976196390; 912135729; 164205435; 126515274; 595706121; 206651770; 842457460; 415475079; 505558851; 529389237; 75974270; 81907469; 685289488; 996170527; 10743788; 404101784; 612324872; 46948140; 431320315; 199891061; 531360566; 534978572; 783379028; 404588829; 526882790; 501269090; 29360185; 934559905; 600049059; 930491802; 721052593; 121506896; 117318322; 336574422; 703071355; 867802218; 524004494; 403294329; 529328624; 199766438; 387856338; 201066863; 826312427; 230860127; 401664811; 138054467; 466178485; 786425869; 846981328; 828918982; 26813705; 350297955; 750808002; 847279810; 654458467; 318989954; 279850322; 582724686; 530716661; 207769267; 765562612; 786026920; 197858616; 71466300; 726650354; 984652523; 999935642; 305613574; 542801023; 427502343; 407956760; 14391474; 380735536; 670480931; 641693718; 401942290; 407714521; 671653383; 114869144; 987907964; 160427615; 915329440; 869418214; 770155037; 664844463; 43180135; 168545711; 239479629; 805201598; 955651589; 20687245; 178806002; 868880027; 672610356; 806033607; 304027735; 101465749; 18050953; 177236804; 990059411; 751947054; 83572651; 492263594; 579755793; 88337688; 327142754; 655282189; 156560313; 594778269; 246350684; 425614646; 384353146; 45621067; 430017065; 763352562; 195360968; 707744967; 330244762; 980734244; 11350546; 925023040; 494604491; 109645983; 733456857; 781526638; 774778620; 623166809; 846352856; 40533802; 384053882; 533957030; 506049220; 27411621; 752969920; 770606010; 871882787; 326287859; 532643030; 327689101; 732731186; 686732398; 234214658; 362065542; 591108121; 633268709; 726187757; 771534415; 773373102; 692962841; 460139793; 932444051; 196186309; 634109831; 423471814; 590422037; 404710419; 925958441; 426086976; 36206926; 427247757; 197321079; 857393206; 637432807; 645529433; 281499134; 449063048; 66914723; 823482207; 13663360; 750421351; 917018520; 445194179; 267146737; 349953696; 971035691; 47318453; 204714347; 982129211; 705516410; 134109671; 314368396; 153579740; 769754189; 341012188; 644273372; 184168526; 664680987; 382175847; 897595710; 953188846; 157901401; 6623272; 324411895; 39500340; 861917557; 699505808; 595628060; 399336621; 406266724; 446215823; 185777039; 963546155; 303213193; 772338872; 274203224; 646103995; 722638769; 795290923; 534473675; 440917965; 585977529; 380555784; 205969671; 503722980; 621859330; 978524402; 915245617; 279753588; 173549910; 35132363; 776907769; 235326925; 643765214; 182887085; 960869071; 817410933; 681461437; 733015801; 275977318; 843773276; 784228299; 75959967; 635809403; 716330315; 349903503; 231086842; 916403627; 828459117; 680279965; 924519048; 236194083; 822721129; 538071040; 718010321; 874929884; 491330478; 477822112; 763086454; 124882195; 948797441; 697783226; 951621665; 576773247; 511834351; 780984364; 513457886; 355931958; 459988953; 415418116; 199070362; 853824951; 126995199; 476348276; 733020297; 104903497; 408492762; 285148489; 738054843; 42511272; 523864560; 269236745; 720603332; 41183000; 374270323; 77722088; 942713050; 654839700; 623268294; 478995796; 551904652; 237271718; 931503986; 645209865; 446385239; 420671794; 239276607; 303945172; 561625181; 667012511; 648014184; 219099845; 494080490; 474458068; 312001033; 150563969; 674205499; 351454429; 370890573; 296302475; 809946356; 691238254; 434811867; 289132865; 839403619; 870621080; 233612159; 280249248; 540742236; 538593058; 537403092; 325171612; 636434509; 892866055; 592264551; 249235249; 276316574; 163894902; 611021312; 561570938; 345544652; 833046772; 462162414; 369194321; 563984211; 276954621; 329769128; 182275916; 467556857; 100016303; 595128772; 51445408; 38302155; 528407933; 590298651; 43180779; 811518179; 153773300; 171519648; 803376791; 415949282; 817114465; 702926121; 961888586; 563047977; 554871028; 892424034; 600197113; 102023217; 967685433; 710354346; 297007060; 572495976; 914653866; 420543136; 320375609; 732060881; 181900514; 414104246; 844367071; 61985727; 471935821; 736133721; 224224100; 820188859; 774364484; 658685584; 783567300; 894719885; 902437169; 450293422; 537614304; 603003673; 695527677; 33477364; 373317106; 843541334; 305154916; 452356929; 834788983; 943890885; 445899667; 79851031; 108186146; 452070576; 92387170; 331156868; 275245877; 296416839; 936640360; 685831130; 868812989; 915596066; 678972807; 754249988; 406167568; 160681810; 660958811; 801603577; 947578752; 502651831; 912770141; 437664415; 627559790; 315623856; 263278599; 56070131; 926167700; 147350937; 601383020; 621413940; 343087776; 251881850; 525406698; 265803238; 471572691; 637436028; 587102849; 363901548; 590504900; 891306181; 366371033; 325488875; 667100227; 516704324; 16879300; 362378545; 190040034; 540504494; 975343646; 234430331; 815218222; 461693743; 820876620; 144793822; 142995887; 456319093; 132922305; 752114655; 767188848; 95934703; 613972664; 834423381; 918805792; 235493147; 72559876; 209897844; 992815670; 138900484; 292876180; 315567952; 947986497; 950650058; 380468913; 419365845; 717698624; 130401724; 615955603; 295089303; 139727018; 859088438; 495165904; 641635218; 646776510; 25275977; 568932960; 915466186; 177263414; 123119015; 222808544; 601531433; 320686271; 38657674; 33341563; 540484864; 176427122; 478048767; 711210909; 96693174; 555230597; 218650209; 999282939; 826849027; 720295236; 211238214; 52698506; 613914477; 194109098; 876710066; 740138593; 609597647; 829699314; 193911959; 600063819; 914668029; 402069880; 504001455; 831306027; 495271578; 642362942; 545055197; 322599862; 921843493; 104401477; 244222994; 865026305; 482608882; 279862423; 164476967; 736868035; 188542687; 760615120; 14413673; 847067883; 913467119; 673951911; 492066128; 907837021; 836633958; 312762616; 929953324; 860290954; 174302586; 306718652; 556027318; 691973675; 907135332; 198313673; 884292464; 829716890; 447890050; 341940186; 560612745; 541737591; 726742527; 335317368; 822330113; 875628287; 17438720; 828233949; 416362631; 214929144; 3655356; 164785001; 267643460; 654887575; 894986394; 102336681; 507531493; 447079009; 722100891; 20397053; 17640550; 565513073; 555350345; 592767495; 428176895; 242137443; 476998216; 623941632; 297492083; 579885130; 748672385; 936813735; 146638073; 476767361; 834389850; 658253321; 50349432; 659061798; 67496531; 470026459; 193340410; 514301136; 298893713; 578774448; 138473231; 703492494; 60103250; 898739995; 926685585; 423813353; 175530585; 680684771; 39364359; 283130905; 940338496; 113125389; 157570241; 47994871; 832795239; 5287096; 684437057; 615554685; 96208823; 761568288; 923726072; 995358813; 452670317; 371753118; 511939459; 965163604; 226371662; 20183866; 577406537; 115436603; 615331239; 632008506; 949151680; 460183828; 833132391; 318461745; 839343205; 269025128; 968404852; 821455476; 211957250; 158729405; 659098138; 425183001; 161100921; 286700588; 950509483; 178645800; 748229213; 890509064; 57207506; 623516070; 708365332; 88099293; 518176507; 700815364; 332104718; 697974528; 899117691; 403656851; 238124293; 177788700; 654046185; 210279692; 53715410; 478439060; 145821513; 897727942; 854418278; 413765749; 132758185; 476540988; 315307553; 848485705; 315803239; 10390200; 308922453; 815043257; 712833573; 283271309; 525858563; 427009938; 46003245; 915641768; 225010458; 191377149; 444792935; 664680927; 737914454; 477515571; 635590664; 835569692; 7152073; 501997554; 13932364; 471668042; 86511176; 756563600; 837976086; 755841568; 813963085; 553473580; 715181114; 953336989; 273765479; 675197462; 520153248; 641267624; 463850910; 586355695; 434218453; 613107372; 794543421; 1020046; 645121407; 384033994; 855521433; 838143419; 319343479; 577747873; 839795879; 393362941; 516893158; 82301763; 290362167; 856685045; 247905434; 324047179; 680227096; 397059343; 278976432; 661203055; 206890045; 747767444; 263966943; 524255474; 422212147; 816669601; 237991583; 26848067; 242694713; 154316093; 945187521; 724032888; 148203675; 795503055; 45531841; 240922095; 400387137; 593490876; 410802113; 605077910; 467869353; 114769798; 643420920; 768644737; 604600101; 198026422; 901107088; 966098664; 497700068; 984510086; 616658039; 394513213; 246638263; 663153727; 617467370; 562945366; 265218043; 847516105; 279492707; 836617384; 425971442; 367691207; 887841400; 503666251; 829708904; 616201951; 185966599; 292534372; 460296313; 246522171; 649891094; 888886999; 528523662; 517663184; 785897101; 988035429; 486120222; 158370017; 247343432; 99206430; 892283992; 569724163; 377857525; 647734522; 409790203; 322352773; 846730733; 176163705; 993413861; 155232264; 654867959; 723801216; 259419176; 905445859; 672697451; 40399767; 43603995; 220183154; 294954692; 849566077; 792790812; 303040515; 517692657; 22080115; 53469171; 860233062; 611713004; 740257910; 21628858; 672580967; 7593955; 638089828; 778416092; 457271664; 713404687; 901144298; 900535664; 40531342; 475392485; 198767070; 124663139; 717919240; 934132322; 536521176; 680046757; 592662421; 997223762; 119524533; 664899813; 760523929; 201051606; 311331045; 415806946; 753830269; 412496812; 147548382; 608368035; 194579471; 116084263; 986062917; 999940801; 437534855; 38449069; 54384647; 612885065; 733918673; 169794969; 374219835; 348546857; 723290481; 180481761; 22538372; 549259245; 736514491; 833803556; 359241938; 514046896; 307173066; 538026579; 544430343; 272220015; 617060573; 966698457; 105510039; 659930004; 506529112; 832853879; 220941040; 926095080; 499825836; 296781069; 140097163; 918958313; 92814395; 892839224; 115154020; 1669334; 645032602; 668333186; 494717080; 501577952; 89370274; 648260252; 147084787; 23125469; 371742017; 488512437; 196656685; 609167227; 37884310; 768020659; 36765915; 428090371; 299611919; 966056617; 595916781; 27992170; 110187565; 347338454; 296106245; 499376143; 190262380; 976364813; 388733277; 20458164; 836844912; 675424168; 440540651; 260987632; 197538201; 65570069; 938318065; 208066606; 72169826; 898198784; 739976140; 67660710; 552462689; 211721968; 319356794; 823296503; 348843836; 317729328; 591876466; 351571143; 33153205; 206665763; 21316827; 722227926; 128141207; 554926784; 94943272; 440968713; 560071080; 501315404; 901560510; 661041883; 284158196; 163010720; 796978096; 484608235; 185460979; 582897248; 6416710; 143436971; 226260741; 196744862; 607171540; 703420602; 4245468; 606075394; 402308263; 719825292; 671348888; 758684337; 745097348; 497264234; 697604287; 918632439; 530980022; 436519731; 308544879; 824361791; 994845113; 381649894; 540073170; 676718674; 337866028; 70966995; 306918437; 901227815; 597622729; 523582088; 784340209; 182599319; 608561047; 167502578; 808823195; 508056705; 630383054; 684401167; 744330752; 923247274; 435031887; 832934442; 845125429; 29788829; 243960280; 2564289; 20366529; 631014583; 419398325; 30371791; 166766004; 133463985; 363355516; 782464838; 424939430; 126855619; 22290180; 389086101; 420461061; 556955553; 347296987; 715918163; 367337305; 193271334; 360722279; 560316853; 526316198; 963878882; 373568006; 588778073; 878633476; 184177768; 437611984; 151562606; 662198590; 400701275; 376594002; 104522546; 204970609; 268843498; 748551872; 138635369; 428116776; 299090758; 153409908; 332571776; 127147422; 347901476; 14256459; 37963537; 479191517; 655348984; 500056576; 330696011; 918953611; 803887228; 234725879; 926686411; 723567914; 629879454; 955939381; 185983973; 476720855; 377389831; 991736325; 247774440; 924339126; 328944639; 372139135; 30746903; 865619518; 787362034; 480309016; 935344352; 478254609; 949604089; 681367044; 674086284; 576288736; 104558710; 904907013; 34398891; 911766899; 83583147; 416672108; 529401400; 73099522; 636709918; 900779777; 51034873; 303489032; 312083484; 678253112; 245506416; 203461683; 608974611; 489270666; 880036793; 664203533; 891661301; 2804095; 154192147; 860905245; 715044268; 339761117; 871997873; 60780173; 555715589; 135230786; 306651561; 275955609; 406290494; 682069929; 709184634; 719736247; 796253432; 574436903; 445152394; 707521650; 372432375; 414457367; 433570691; 723731401; 348107849; 571509039; 243727678; 835106433; 753936018; 411762019; 116215490; 15286026; 147017079; 231273084; 266864420; 197777750; 427271733; 115058887; 401850615; 575254191; 336069694; 174508222; 51115836; 720492340; 535245458; 735194248; 575313530; 827544079; 250287243; 789442265; 968220057; 886013656; 718398043; 829456253; 253086529; 480935146; 864334124; 370801299; 500981434; 89885000; 674332296; 91766048; 237234052; 114787108; 628054285; 616895300; 308803462; 141604843; 510611067; 211800585; 258383305; 538507370; 612943068; 127418360; 980299367; 571271532; 817651130; 635872327; 660018072; 680017800; 270785276; 588694653; 993937037; 91729047; 138614043; 64300901; 436153885; 856311564; 307281716; 786197757; 492466916; 55150247; 637799827; 291737391; 306197395; 334367952; 675096250; 535171341; 35105564; 326509034; 702092213; 611975464; 503028040; 188087380; 79929325; 407336906; 671889287; 593162842; 416030260; 615719523; 807960229; 661744918; 838316273; 859436071; 871569305; 765501855; 154840577; 755001489; 666144786; 348068997; 488998370; 779700427; 38345468; 643262701; 509498174; 905227375; 491183951; 492630548; 153139353; 343069959; 801976972; 214053804; 248791388; 866214699; 56565399; 837241217; 240691769; 459146758; 980099187; 62886175; 568700650; 173815688; 96921164; 708626879; 31965500; 512687679; 65574023; 742231721; 915559680; 48437455; 933204085; 763225172; 912261891; 948090827; 798084292; 916916547; 966707075; 700065856; 210963937; 379571648; 846978766; 584864532; 609231764; 440655051; 304524379; 633927846; 46738658; 995320932; 249110868; 187847220; 953313517; 687579615; 81877344; 583342271; 158410804; 703290615; 639023995; 633534132; 181582285; 151382978; 503011822; 292627432; 684530370; 933886687; 733544460; 628909297; 347942319; 263637585; 119755559; 593479292; 398855628; 105944223; 89829342; 214384316; 547082276; 996952400; 889476017; 986820801; 234525462; 714726030; 94573995; 194287341; 551523039; 293993938; 17407829; 998186221; 970015319; 26562866; 732571879; 83384526; 336824733; 880008609; 6622283; 907851385; 368392612; 641240987; 559465269; 245794340; 872751952; 254004691; 899144520; 413399243; 398787510; 702464228; 205930289; 971317457; 995311038; 896068555; 94604044; 506439332; 4525421; 890487787; 239714593; 890155884; 222936380; 809794957; 297886483; 835627849; 794298185; 99599752; 497008734; 40062579; 423568794; 454486976; 726158391; 372636689; 893360805; 549443150; 349026482; 172818696; 134885415; 119273865; 909085311; 606264296; 902540145; 982598355; 318240682; 620338598; 346495516; 961879071; 89684885; 879138238; 611780731; 477956795; 333558486; 419188555; 119388611; 719705490; 694641619; 952629301; 500380852; 484546615; 658112594; 174919436; 573291294; 341425267; 692242050; 728369704; 758897235; 952828418; 47038124; 911226302; 82407010; 398127652; 79199623; 848207030; 44380156; 131701140; 823792444; 99469898; 936544572; 440532809; 366109597; 997718003; 857979138; 356885468; 777226787; 482696700; 572259390; 965415114; 543433947; 119446161; 45117111; 653442769; 38738629; 548170071; 501933239; 989020890; 953294315; 537852787; 288745347; 570444267; 971852376; 289254684; 243671291; 618595801; 588800025; 511757513; 991094535; 951827228; 205056252; 655644882; 844425358; 740018699; 741723617; 740002077; 710375996; 352206755; 956311673; 596690368; 234503169; 678998720; 109002451; 167801007; 773253513; 814689089; 674771042; 584694066; 952677528; 130863541; 946278786; 677130471; 740412761; 194400645; 650638869; 400921381; 63069315; 959653202; 484328420; 241037160; 366140585; 934482926; 721207660; 723063889; 215537287; 587615651; 918480568; 452333009; 739135417; 390158764; 838528392; 553033667; 547211375; 540822338; 940535392; 46220202; 285031622; 72870692; 599207803; 14585891; 553246034; 558183089; 268556482; 737129481; 764631959; 330139990; 67377040; 735108123; 750782183; 759727687; 924062618; 849391813; 572756593; 557649511; 455922732; 165157339; 843974048; 160778373; 169566099; 697068715; 31647665; 824052043; 287114112; 46339934; 550050885; 382928114; 108420237; 674746580; 252223926; 123376108; 567829532; 327638670; 790945042; 308170094; 445359262; 235548571; 243118513; 148520842; 659086789; 668026880; 379705513; 932170970; 307716568; 855175467; 395296817; 639190883; 653049225; 97595854; 791793633; 544709389; 193103137; 219425975; 735281959; 243703471; 763306041; 374483666; 838369298; 992498978; 639253473; 547803011; 383639031; 245043948; 844625039; 316841306; 320509026; 754159067; 400823942; 973800626; 429805070; 122863771; 850691829; 865749942; 115080483; 275585674; 228440964; 137638545; 465947545; 975058262; 264397549; 713118066; 941935905; 7593033; 494206785; 575556865; 281494797; 992266180; 596692491; 347542292; 798232030; 305703874; 474844267; 209109326; 498423357; 330877418; 723179561; 337868996; 7452623; 831131930; 202967560; 335142427; 809752833; 859484418; 632073917; 996965058; 741388417; 652402396; 287151310; 31409926; 875119226; 9319459; 296527219; 868966899; 195642491; 689040885; 299528237; 324724001; 306848304; 139417170; 843523579; 240097071; 993376313; 456123381; 15020355; 925721671; 29088463; 64445687; 585354243; 633012089; 940581352; 511083292; 18657706; 196808956; 595429931; 883385386; 634260849; 261144832; 26356571; 336735998; 337647088; 865752521; 849825310; 382497617; 453776525; 72407340; 507099110; 446874228; 758225897; 684068506; 591438794; 249431821; 729983964; 305490198; 271178924; 245641532; 264983633; 374335978; 370677796; 670035326; 132836486; 291274670; 362778590; 62781286; 563991464; 49998203; 128594057; 414695656; 234876667; 351287459; 954446844; 635466718; 654372788; 61324826; 668988704; 378260576; 93829519; 770211287; 964598146; 977534326; 936017378; 540114112; 587751274; 486934700; 961627845; 304504072; 753996992; 112363365; 364301282; 980794915; 36930460; 636529782; 758986689; 836519912; 21742302; 117727023; 331393166; 183904635; 928243868; 401250250; 678955563; 594345092; 908009695; 261793282; 887020965; 401664969; 791403188; 83576262; 102538832; 298658588; 882017163; 609462730; 912228499; 90889578; 680638849; 705817768; 977596314; 87056142; 869370708; 435535481; 23848002; 264344942; 862681715; 212396864; 925052164; 170524036; 3645807; 189267013; 74596197; 418544773; 628845578; 877730725; 39815300; 151130790; 337863074; 916178421; 552938533; 289215807; 621689275; 775609286; 312392128; 779997964; 739778818; 756016200; 289064309; 128222212; 391722406; 498593025; 819706441; 75885901; 497954257; 777133448; 351412775; 161810140; 226766222; 41810522; 979702354; 888925399; 851147738; 503595926; 675389332; 399814273; 804326985; 266357228; 71241623; 161342573; 271683228; 623009996; 607989034; 64734153; 297862084; 515958467; 423902678; 843213037; 84695643; 48509604; 138072235; 495758895; 524797466; 567255076; 934241597; 34827542; 297850098; 73952001; 383326568; 129158754; 21640925; 144498584; 98480378; 410237571; 626839123; 117557783; 39545461; 720844289; 805063465; 270447093; 913731074; 715238001; 588822135; 201956343; 180662181; 964856668; 317033667; 768209155; 949143379; 668248565; 641033297; 356495854; 580365767; 288875043; 391789824; 258976123; 886103524; 482337620; 473086104; 816334415; 949737667; 768727236; 977207608; 189287698; 190603024; 514142475; 633973954; 977077483; 418768023; 307928665; 659870404; 212307058; 755779302; 161847536; 924725543; 813681466; 750422338; 487929323; 929630104; 483752278; 33049920; 398334893; 26510537; 765781294; 569238289; 520203927; 846247476; 334137773; 203398137; 345801643; 807522726; 766675351; 703884431; 123873030; 541713672; 634185667; 969083505; 723861133; 443875298; 576881629; 554610568; 815609257; 138261723; 923210809; 535907730; 636715143; 916857974; 315843936; 154315421; 353531911; 303980333; 165665766; 163117359; 425984064; 583264162; 462889545; 905945735; 460259903; 792109269; 246864269; 399696160; 670467552; 854048077; 794575679; 976189174; 554584260; 237391658; 435791467; 759577329; 121232721; 439697792; 654175144; 100121694; 781478076; 172713757; 913699543; 17749901; 546062547; 182479739; 917053535; 891613160; 348009709; 378407148; 948299090; 465355362; 548564148; 239068902; 213045242; 123278644; 676705310; 583021430; 445663841; 968459098; 138037680; 852333026; 569115566; 23369747; 475631191; 346387693; 92243116; 52686098; 220225424; 355338546; 538382909; 230078507; 431703849; 360649226; 877600660; 502582596; 744810400; 544680460; 222101509; 820807599; 106703200; 956122749; 153981991; 576784618; 44777979; 3288094; 575610203; 353087029; 479790647; 984123426; 345744741; 837557881; 966564975; 286608254; 970480634; 309795204; 771091986; 697487348; 749486992; 851603872; 587868672; 694634692; 189246182; 350915293; 550999163; 141184329; 517918298; 469829117; 12680272; 629720303; 199756372; 837379094; 322722637; 700555176; 943294563; 187275840; 272702244; 694606634; 229449324; 719152162; 527827402; 385830250; 81040086; 669988275; 756289420; 113468980; 29560874; 331240777; 767866754; 375661873; 346032423; 893772581; 327538816; 272730742; 180560508; 39063572; 907197783; 793169391; 653432866; 478904006; 181037367; 899760775; 801153391; 390936959; 793905204; 717898632; 855439175; 835291830; 701181615; 213083997; 762796196; 831381123; 60260588; 416062411; 977601748; 48708968; 923696777; 51008002; 869853341; 297251993; 592001279; 696404820; 748398586; 757458696; 664293888; 692711084; 594753332; 925696339; 841892500; 149667549; 375416295; 868321652; 11958256; 101836524; 107004414; 747332757; 490589501; 356604511; 230840611; 779565557; 711023894; 374292417; 6888410; 10514769; 874923659; 303479804; 583204698; 421474231; 35461899; 733696213; 514277466; 321026889; 796038404; 699710401; 662435100; 45985020; 40121939; 161982429; 183904178; 533086005; 216477093; 38423014; 615288841; 73828842; 378208598; 406069857; 64178655; 460002841; 274421965; 835814694; 296867364; 185992749; 176780637; 492536082; 585826605; 152731180; 299550027; 334869202; 172492536; 931207928; 400712754; 731716179; 84594932; 270027634; 124138919; 101399511; 278925415; 564169655; 100624546; 764055386; 775449079; 746944776; 856115239; 127656587; 550324711; 116976197; 921933056; 82058154; 374548515; 623426022; 197643794; 654948717; 177667753; 294562379; 413206787; 195312372; 17990018; 771785827; 715197471; 303110093; 390477336; 70280597; 362354153; 936883994; 88926799; 88271662; 210017593; 186273692; 473678617; 8917116; 295039044; 655329686; 943736253; 538866775; 779378472; 208022165; 46411408; 626143454; 161206589; 333948047; 610214655; 432623858; 865448034; 584783817; 735537679; 170744553; 814844570; 97099798; 109057876; 482097351; 666592015; 606430886; 451411733; 18656267; 803207798; 456575295; 155762867; 842221391; 340066485; 390859269; 877383132; 501194417; 630751942; 311578334; 549694738; 241015043; 360819906; 981099651; 122329593; 728620134; 620111007; 674338897; 584352950; 371152544; 45739191; 235973054; 163047210; 350296370; 938907915; 103558668; 281063488; 719525035; 186289364; 304671628; 77846650; 619529922; 445312994; 370513136; 627853863; 915863339; 388136827; 148178928; 118675349; 589559146; 709374322; 29046359; 207184442; 421614262; 571173393; 996999216; 201548028; 34977803; 338975242; 422018112; 923490047; 429092178; 280316830; 921449849; 329563533; 893080485; 729979187; 148010000; 28072732; 278397406; 914987775; 161635896; 592093844; 828455108; 634049660; 275960547; 604588867; 539169729; 162512590; 735439079; 767162671; 454331093; 941842608; 691250441; 874844862; 236488201; 295588767; 776202478; 147640403; 832183408; 150364629; 656498863; 786882467; 106018038; 44014229; 324107588; 711122323; 582844570; 841300476; 323180341; 46981865; 802384313; 294049674; 607464493; 82548850; 414376626; 765350423; 222150314; 770451120; 322320766; 432231114; 310449255; 908654734; 198007268; 639868488; 437560953; 731759748; 588203707; 688352256; 266739643; 414511254; 248858682; 381464397; 192418237; 269026368; 194448311; 924212743; 507413382; 422370217; 831145461; 576328181; 112747847; 7865546; 920968819; 294622308; 309057742; 540353875; 728611328; 443204132; 45848007; 38489785; 196535267; 443068511; 526990794; 663953718; 77513005; 645475018; 755048298; 675197796; 366369044; 598640143; 619043494; 488733124; 688426316; 111193688; 231425791; 183341843; 716716540; 502992386; 152795518; 781344756; 436658406; 321260580; 892357972; 714965045; 536527256; 661208371; 659720095; 591157269; 810419991; 317909271; 33531219; 759818806; 670719810; 461801784; 443719651; 823957255; 868673953; 675459829; 412548998; 339161234; 46805176; 587687150; 983512154; 840547438; 285783998; 241104924; 59686202; 546441718; 626116793; 812294585; 797389015; 917879336; 44503950; 308556441; 636731104; 220790106; 323285683; 383694865; 166324805; 690725662; 315346127; 358411002; 322549766; 880369824; 129889095; 366765895; 504147994; 606764823; 914721706; 7398589; 998846607; 612329302; 18091262; 921318624; 741972518; 502281651; 194196286; 327765225; 185800077; 237051549; 111393562; 745059228; 833130819; 211095503; 634277700; 244002354; 560696185; 848935838; 382843033; 357278003; 649331897; 219893898; 728063519; 120271831; 295472083; 25079353; 268926476; 344021173; 169678146; 975538923; 9032007; 137496496; 356045166; 544757287; 330822484; 950308613; 84953750; 703842091; 781762770; 854238852; 613311760; 322172867; 468062724; 693331404; 350646734; 803224052; 704397952; 512141909; 419016142; 38692978; 659025690; 38830520; 836158070; 995498534; 164019865; 229851653; 77333295; 482051567; 200554771; 422152368; 748694059; 868085754; 164037222; 656309841; 890660765; 260551617; 852599137; 773489216; 336262588; 292944997; 76626902; 570610493; 881226487; 417660601; 502500087; 165706491; 560328029; 26363355; 596369154; 171691966; 314673153; 897360718; 922064751; 440384156; 993345165; 421741134; 261212731; 569787882; 40518085; 345517012; 927591966; 863974782; 856100760; 324445435; 501709412; 733855591; 595165462; 851549665; 833485632; 608897633; 39334093; 641452582; 135813115; 717426384; 973481355; 696759493; 602957670; 687502545; 266714610; 573584016; 78678407; 396593827; 589368010; 326570276; 182339910; 405796502; 620392282; 906042067; 992982272; 979005061; 709193702; 281092031; 473430072; 591445429; 878619911; 666336907; 221578948; 254519201; 422051275; 466401908; 815091455; 544758592; 346978033; 310182341; 658859074; 410138301; 914606511; 527137172; 504838568; 361676942; 737666945; 158120835; 405066896; 639207709; 420334803; 476543625; 538302495; 744609572; 565845387; 868655433; 564997925; 941188460; 281360055; 417874935; 510230137; 812478435; 619936385; 208803220; 466184000; 370581880; 962929043; 10098295; 237710701; 452536679; 641503329; 363854061; 458954230; 505190210; 159453231; 341666089; 997485490; 675177824; 9654666; 762010718; 213302796; 579766030; 788740823; 295273855; 725883142; 104724655; 621797573; 330246116; 74380411; 103379362; 915454016; 137927424; 862058143; 9217396; 522555888; 798652790; 367873928; 200170735; 565650568; 865722312; 267238412; 25000728; 856364469; 813972861; 694363077; 139121707; 211579708; 601395610; 503557733; 769496101; 693179641; 48047359; 466998202; 18549990; 900944339; 87186498; 901898147; 874663700; 581726955; 57381273; 384326840; 118792183; 267422300; 737513091; 1673791; 712741603; 778866979; 830087227; 168341695; 22451972; 422464357; 816521070; 785606429; 70101470; 668499892; 286402479; 773283615; 200566839; 330032557; 252848342; 770200903; 703202841; 477598901; 876344525; 782747962; 121593342; 423075188; 174753167; 336541407; 979341468; 116192292; 51813357; 255941034; 798219333; 737548673; 674982490; 851184496; 64169224; 130821456; 995642022; 549269646; 740033922; 341608247; 125957279; 233646173; 237063735; 949551915; 433355380; 514872954; 830677573; 693679763; 700648574; 72261095; 9612242; 484790378; 70035443; 470257148; 194274107; 40611221; 778652187; 99176294; 21348349; 198913019; 876912404; 700907330; 577488375; 168046264; 639349239; 56415561; 114470778; 275415578; 162984811; 793508285; 330741348; 450025522; 193407300; 962554720; 896445440; 934075192; 351457674; 147786517; 659318098; 321504728; 770948002; 705786938; 597113890; 676562851; 820158972; 768003710; 223006262; 26267736; 331790174; 264555158; 278473456; 654645457; 321828187; 213362161; 234603615; 137339665; 748326446; 782826454; 721400140; 293563326; 227948240; 333921407; 656178134; 957736994; 965788998; 975115241; 380832798; 377829801; 8529762; 237324959; 2491038; 982305035; 26838784; 285903646; 973566180; 150875297; 136201332; 657952633; 68463910; 350537860; 247056371; 763887639; 461867105; 913483919; 691771237; 767994698; 193173470; 903317726; 729410896; 228257154; 169828878; 226391126; 320027954; 547672121; 472753065; 959231222; 310891319; 624278109; 75844588; 238287172; 583523232; 537567468; 708083578; 560331808; 685474188; 166788148; 823873335; 869147558; 952914294; 528995915; 649072740; 634851779; 980004540; 511154182; 252867703; 221314097; 347653273; 91246712; 301627535; 591521456; 577844972; 773613478; 81404825; 275344645; 246264040; 473042974; 685092659; 677062329; 969388423; 754119136; 47798720; 924245858; 447118416; 581152063; 652134340; 125386500; 988932588; 96773876; 457424102; 894543525; 381015787; 268371255; 539213654; 165739841; 107362182; 655586385; 487408855; 837636509; 93797859; 597409802; 62443767; 53854118; 889523522; 813380317; 41999690; 428404381; 78850539; 587905971; 188491176; 733212436; 420673705; 280815020; 240706289; 486139591; 679542839; 760174466; 962237249; 611893687; 889967068; 638835881; 893396210; 129740952; 75436709; 680615210; 293351780; 57444098; 304127551; 106389804; 374499615; 216348081; 690839620; 439949845; 338726038; 864638532; 320996580; 420720273; 301225863; 50924307; 918750369; 527985804; 413900299; 72980712; 250446955; 456425406; 311928624; 611264145; 64653101; 53141676; 390277773; 253867013; 843248491; 564596423; 338597031; 589929655; 730856601; 777642183; 686570097; 984187843; 559475472; 947212965; 792636361; 428604843; 562038006; 207099603; 608663954; 788440291; 203046907; 866750296; 841929807; 128465925; 706431626; 786608379; 610905143; 197775914; 264178956; 679926802; 627902295; 878031322; 975280916; 299558479; 336876619; 844495477; 691717459; 543571157; 509386487; 24217262; 627638381; 127289052; 492643143; 2141566; 734525065; 675471864; 253203213; 191583088; 248121575; 571410940; 510654243; 198911528; 520403733; 34470506; 481195397; 283978720; 304284951; 818501300; 755491402; 616167685; 960985571; 167844067; 69489618; 115517223; 318086233; 232340057; 883095378; 410209177; 404723381; 200825899; 365790913; 842173353; 168514405; 379878447; 535470158; 601436505; 782775711; 222728212; 93003591; 290680615; 577777854; 461443927; 997661957; 827059267; 222424238; 970741470; 140221610; 206884084; 510989527; 801571951; 668501487; 218104412; 523963227; 349513369; 324573817; 32499887; 610058419; 28541809; 193810162; 706393275; 447742303; 927474462; 56310162; 223217715; 605244261; 78902666; 310865992; 683257517; 340835538; 848131976; 435739421; 671438384; 372312368; 763822488; 263435126; 273420085; 674733217; 421748835; 218884179; 790339646; 896681999; 423591434; 799107370; 788912572; 50792677; 73828673; 976816517; 324312260; 28806446; 26448685; 579616971; 77979712; 206182438; 556368551; 313629938; 587892506; 637467992; 196064211; 507488517; 728672498; 571001913; 318897325; 118415189; 697824005; 142382857; 688458389; 342765785; 222936456; 823454981; 912392653; 893149161; 245221430; 791284311; 496037899; 953909771; 877770043; 772466319; 371547921; 696126197; 106317898; 457294656; 748415498; 522892518; 577174075; 200292696; 580395742; 390278813; 906411897; 711652594; 402067075; 522649966; 821757693; 907459880; 91251625; 353645650; 261555659; 402733514; 262814470; 442981268; 823736374; 39155952; 203362003; 263638177; 197787991; 625968150; 414867546; 650078641; 932761629; 541985224; 918541648; 471847793; 184809963; 308499121; 413285059; 315538622; 855225203; 523224772; 341295582; 540928023; 26158701; 779890975; 979095355; 86072097; 100447974; 650159067; 642214508; 663631945; 943157801; 972372101; 766972831; 221148846; 861250446; 477981749; 767618087; 869366637; 693511845; 278437772; 541661620; 603397742; 7558861; 717156300; 436238781; 974677566; 317794876; 708315481; 777418716; 369568081; 843678669; 229405123; 757934114; 514544346; 921500798; 989444082; 270974501; 280641071; 212377751; 845538993; 566866336; 237246672; 464611523; 899050419; 479403466; 276108263; 977284813; 752372591; 610881631; 364596077; 685228662; 594537672; 128435893; 916208917; 879577076; 56548626; 669395403; 364441374; 420287662; 181070845; 955928713; 884049410; 798174712; 687288182; 337844648; 73504197; 521419448; 358361564; 599541635; 39583603; 936489373; 873481845; 358426664; 465852698; 760393265; 997846540; 502965772; 786102692; 768481823; 159205080; 169332222; 506022761; 977619585; 384142171; 418314004; 224072450; 2583192; 235219992; 560002824; 158070061; 318113108; 876734750; 450168680; 221006594; 792333743; 58228918; 814963828; 430949668; 823264536; 417350813; 164784888; 978826994; 197683647; 892368149; 73219681; 383530616; 159618498; 45702277; 206821692; 828132622; 923966555; 951662371; 67423613; 445012954; 818326614; 22882712; 95880755; 656318470; 113358876; 568977145; 233333078; 905650167; 356876213; 265887495; 693459227; 680168100; 814683704; 722640893; 482726557; 716094685; 784348493; 271339206; 691309172; 629515513; 747445815; 243920063; 820425165; 688345894; 77627900; 276166473; 738032293; 652673130; 25794318; 525513535; 25390286; 269097131; 714086524; 967385267; 865761104; 489078914; 207020084; 964721365; 727243753; 216034184; 155539400; 436464710; 425989023; 527091048; 404385710; 912148101; 189938433; 49559422; 620363861; 888365503; 259075044; 704087273; 614542101; 812979997; 109776375; 872927405; 143212089; 52877135; 710517719; 246301141; 755827165; 712471190; 894041596; 346440258; 326283250; 937670985; 637825875; 833297189; 725755383; 463801901; 154634133; 887980225; 126896256; 8356055; 41445869; 267293347; 166897664; 803130721; 882771272; 94095371; 595498686; 145562619; 763011176; 204316838; 642964248; 43025905; 27564571; 574573954; 491014345; 457058920; 784945035; 430644207; 997628978; 372523541; 321844904; 222732328; 607432880; 350286161; 692797463; 34771348; 280468417; 318960747; 441920192; 418096875; 786033218; 352392063; 783937023; 411780277; 116546542; 152069736; 900947673; 94739282; 992348776; 482574657; 594345635; 461194232; 817007189; 217921374; 559060992; 769743281; 767399213; 145755354; 783943296; 190438278; 786401027; 580490158; 386271572; 898282104; 244357270; 374532240; 108651191; 722598934; 583485816; 484822492; 553800948; 761046908; 469661844; 513986865; 388154041; 26953634; 708047879; 911043341; 477248857; 676929285; 350360228; 1147943; 745541103; 580606833; 944461511; 762917369; 89099707; 973185815; 831965917; 147140762; 189401564; 798150129; 81603696; 953272764; 415872692; 739137665; 96766098; 896060594; 966486248; 338292840; 748366569; 348009531; 281248812; 502309536; 374539160; 784978215; 406575734; 42261256; 642341950; 447914001; 630305320; 908123821; 477758118; 144401278; 901533125; 714592090; 311043831; 728722177; 234302332; 543618579; 743683292; 115845881; 945845431; 289122549; 290364939; 742992073; 309769268; 586360882; 116875857; 966180569; 681730571; 677677541; 74517024; 334283359; 376492878; 446115460; 340797265; 185313847; 425511116; 197429403; 977089547; 867748503; 249784285; 527794307; 182212983; 840725739; 251491121; 28204417; 162373009; 814960156; 480667456; 917238619; 885365909; 601724532; 460982040; 944715107; 354012563; 562580301; 627281358; 493882922; 146205800; 720768777; 358354103; 748178905; 66766518; 958922899; 63302523; 560848975; 283844532; 413847699; 13510360; 894415164; 570375351; 270871610; 143288243; 204007157; 983739022; 118628985; 664574790; 215266720; 568380631; 750912899; 993006184; 782343079; 239644487; 513118193; 676294376; 452362659; 722992633; 273750868; 623588101; 933698416; 465311637; 265360501; 702936784; 802695075; 925424372; 947282294; 826238565; 880730363; 169933401; 742304736; 193896226; 426081214; 985316118; 648798321; 585004242; 801444525; 730422905; 94179851; 609519021; 31418846; 354185126; 559818288; 73271117; 521518879; 753830664; 560309551; 33190199; 734095831; 707736656; 912557723; 953411522; 548206249; 515539812; 520370562; 557311449; 580044600; 345485879; 263197735; 971322729; 639854263; 663425595; 871361883; 686463593; 216861866; 48908105; 454905422; 802408682; 645669233; 366221972; 858795455; 213437335; 678890900; 820038443; 89636186; 391581430; 550541485; 73531233; 242504987; 690762442; 344059698; 318627989; 542808544; 963814554; 863089201; 97571340; 889029365; 211284334; 75132742; 21223487; 411066284; 31113544; 294610365; 758808752; 891576713; 265533304; 111279579; 705482653; 621541466; 739256579; 826669809; 76743837; 149412573; 480597551; 937197024; 82103462; 647770201; 739185201; 415112520; 285530639; 926979842; 497534341; 732101922; 115633796; 364581963; 200446602; 869907871; 88205684; 730973548; 559952528; 38857217; 830644927; 236407670; 828985431; 715299764; 738421124; 872255993; 446766237; 609140255; 205963657; 197592069; 811864306; 837817332; 318767867; 134185222; 381457407; 759949340; 771500490; 202662200; 81953023; 311296320; 986118258; 656420949; 651553697; 765157923; 565976071; 522791031; 562809604; 175716133; 534128490; 932109233; 565436859; 827728835; 993564668; 429853684; 629626719; 971432997; 736379548; 319356040; 440857621; 442845761; 770307713; 79508375; 4470205; 238457189; 203265012; 910542151; 598310294; 998084415; 938403016; 975164596; 641794677; 859793144; 482520126; 946006900; 307156824; 806275165; 482814829; 704301824; 669065153; 907047496; 493010019; 451220141; 248279844; 867634218; 787144314; 641648710; 457781895; 473838354; 304109249; 667118133; 389048804; 569560448; 53724592; 829362208; 384157396; 375417869; 585567992; 541317987; 391914995; 258019496; 313252152; 610342360; 255241665; 123714709; 654291484; 698097023; 441973734; 438392624; 151859827; 952586979; 297534805; 951137250; 523155871; 105596295; 990982975; 865886278; 495736295; 532350311; 18456226; 507956234; 296092520; 454946850; 325278574; 294138234; 976912219; 558193586; 345350806; 970434581; 573842878; 139335585; 339101999; 247797979; 580693866; 581313543; 8914838; 851089948; 170649446; 485524397; 781900688; 788295104; 68253555; 362916012; 452219872; 999849035; 255227005; 800312622; 802431840; 192123196; 323933173; 865311084; 782710459; 418328642; 371149591; 197698298; 980337061; 643355867; 430405789; 677196738; 381678385; 528486387; 11314128; 505259594; 374557826; 592473736; 405761052; 504515117; 636824693; 552713104; 619092744; 322409136; 398413861; 150722187; 715616633; 179063477; 330636904; 823042256; 300113908; 105937171; 5324654; 737320329; 483098270; 223251367; 779056835; 944836892; 750395096; 568284577; 750198091; 545781894; 810798022; 846694164; 662344319; 100394131; 426382257; 86416706; 63467792; 4724602; 398277517; 273449346; 47373084; 553543298; 628228272; 187572765; 769730078; 887015843; 809852168; 508364146; 116582117; 547407150; 272718995; 217784517; 720291871; 286866203; 834600344; 104458880; 502746258; 144301389; 157636463; 895711148; 222489371; 680854485; 99080642; 243744773; 145313646; 44775274; 330645754; 929438944; 774013617; 894023302; 119673146; 279480661; 23225101; 880386161; 400561248; 236752047; 483043477; 880486499; 323744514; 353906237; 522351916; 774433100; 825669369; 260477946; 493374523; 241256788; 372972530; 95742030; 287039515; 698670810; 603502356; 657652103; 649859053; 912984071; 743827797; 702920742; 968728150; 365180886; 522163153; 490378886; 969768816; 164734787; 544598594; 187393029; 727175937; 253552409; 101872466; 123195884; 528261612; 225320260; 154211301; 922507862; 531675716; 466566939; 802863731; 800188732; 329237837; 579043098; 313098750; 837031367; 728437447; 629564699; 310210767; 452886945; 104219144; 631736786; 768162725; 777492046; 9608241; 553979147; 271027186; 960753097; 191326137; 587966273; 589795612; 332879269; 414387126; 764650545; 519607759; 119639797; 88240680; 77355526; 122760679; 458449498; 628668069; 631812541; 266075580; 264768759; 698104336; 374704106; 932613033; 310630430; 832776034; 65563254; 542081269; 719674847; 908164446; 3873669; 912157460; 21782389; 778809401; 361949088; 177125034; 952424076; 194921116; 595176932; 757449166; 809080845; 676109381; 186486107; 83435077; 476595420; 235237333; 529073335; 840152386; 61623270; 173062769; 38149479; 68230606; 847622306; 392307168; 284599849; 617625918; 400328040; 738656642; 588764161; 797630380; 410136425; 906628267; 722686186; 817735111; 436184444; 474887103; 165296275; 272142047; 790020157; 17793683; 140787485; 61150645; 126766523; 708098114; 539240980; 226050501; 864755609; 764929193; 562399660; 872294579; 79792192; 261915425; 848033336; 460171127; 495409616; 196156281; 288777934; 763731884; 257699960; 338296126; 144520210; 196347491; 988375478; 784151668; 34450913; 686494283; 60726186; 384554068; 671755671; 305590282; 939504672; 950051204; 746567810; 778037578; 449231426; 958507022; 309522501; 445864758; 569018906; 320854731; 616666768; 910041839; 328895507; 51915519; 156299669; 632807612; 888316197; 366755383; 795753061; 764561616; 239268373; 144307349; 261131472; 602820768; 285440807; 759468641; 266229776; 89054182; 465011002; 489802595; 536524130; 448460904; 497606315; 532495788; 643080597; 951267367; 924812288; 994762580; 715952455; 941561865; 680906369; 965854785; 224080307; 263527011; 827852920; 197553215; 264677755; 404578494; 209640709; 14861637; 796859581; 584106661; 349761193; 562190828; 899754425; 989142398; 733729082; 927070191; 173430587; 265302998; 489015487; 204036919; 337563357; 743817250; 880599210; 773343240; 204714488; 624179832; 535449044; 512066507; 47258276; 722506270; 196688546; 679007165; 881407266; 459841188; 20926735; 677307136; 755554977; 203306428; 939898604; 508368015; 168807091; 573349011; 295048108; 749736367; 220876916; 826805891; 132651737; 820028656; 962935577; 928761303; 493737600; 311176158; 783624020; 832078687; 547449131; 954608444; 987748971; 730310087; 127501410; 376041906; 12654847; 663363389; 549848640; 187064132; 128790419; 193670644; 526587794; 635279021; 772273428; 439059629; 668522382; 857321532; 331953752; 659332694; 126380697; 357917227; 609614343; 79063964; 650912720; 311332959; 358396615; 303027597; 615122419; 727980017; 497133939; 443811340; 988181783; 611850025; 298340495; 21120222; 971965787; 569816863; 129503834; 635049509; 483389763; 204583678; 671260458; 522716347; 630761221; 363944909; 534550195; 18567462; 632077363; 264851141; 813391116; 988135772; 522582766; 339064638; 27316734; 210090067; 551833945; 267719775; 568446732; 644044664; 749156338; 366845484; 393062727; 647728174; 700172306; 258621578; 880523333; 802104638; 345221126; 484992340; 987171469; 246752683; 545790285; 67091513; 50673214; 565705219; 125065995; 906656760; 310188114; 170582570; 568314068; 351725581; 244019138; 565503636; 106963670; 127984744; 578787652; 575685464; 765110670; 931124855; 992377631; 75539581; 92874379; 24215012; 137876791; 42052658; 692471577; 690905019; 90978287; 406738704; 570825033; 90172233; 72746215; 563099042; 654305196; 605133470; 585128547; 348748595; 901604971; 144737305; 117823255; 978783048; 310505589; 228804406; 297178064; 974900529; 748541366; 540653153; 685748783; 484957694; 968875043; 980616849; 354673352; 408223642; 145919730; 912726603; 230678678; 855387434; 900669461; 935358630; 139230379; 206823635; 487981741; 181008120; 106532957; 614282824; 757785606; 980847116; 394401705; 335868236; 924070556; 540580120; 342050451; 634536569; 460705597; 34081551; 300825458; 695027998; 11314587; 138236557; 794641000; 520080071; 741088935; 241281604; 548126171; 188092905; 508984427; 18132874; 138907285; 259820075; 592629183; 865851088; 461193341; 240952179; 296874376; 160596216; 194827639; 926760476; 176267791; 451060867; 383127452; 709634343; 312340026; 164131335; 902499075; 857015850; 421553833; 927531520; 763161785; 325100699; 975820691; 476570355; 566332124; 952051079; 26539165; 576335309; 487703144; 47288769; 681729610; 509561599; 206027596; 579696436; 866907860; 174781714; 713321003; 293270690; 936487312; 656762376; 888988459; 41925133; 404352595; 584845545; 112225746; 899424034; 187356581; 584074328; 244005259; 815095548; 158872322; 492536236; 358608008; 14710447; 285346726; 622504824; 223361831; 157500976; 291153974; 427466235; 422451645; 916873363; 684920272; 19751975; 690452734; 321844035; 728403332; 207990035; 116238562; 955725757; 628292393; 983454292; 200589999; 365712301; 319699308; 722923098; 559513296; 457235542; 161114850; 549153314; 390519393; 78604226; 487693296; 602911244; 993626858; 807459933; 636765173; 103129286; 381666842; 619036744; 868391306; 127688466; 688161222; 97893105; 112584430; 607979283; 34549114; 859666652; 536524708; 482909910; 953551361; 973560825; 597302570; 554737604; 411427400; 921192819; 506451512; 733441022; 71085910; 277881573; 738521574; 842300194; 767618698; 192407979; 628827892; 145745607; 157238231; 696650942; 69809672; 97519029; 219035922; 975890162; 349715732; 976463521; 390243942; 481647877; 259600062; 441921512; 238947130; 354277475; 904294732; 83274657; 668531261; 725830362; 643435797; 149756796; 235441103; 457753451; 827722995; 350457048; 994405427; 393298660; 637530463; 992893684; 346928471; 101519573; 73285314; 740341377; 651237669; 184373821; 783384103; 547243893; 153328407; 22609554; 570461263; 359800600; 719239782; 971124337; 800057362; 299380175; 474678593; 357445895; 555082836; 373011509; 561868118; 519230795; 239028462; 202091383; 932884975; 224025863; 953772041; 363476907; 225659652; 999486858; 229995555; 198061702; 91650129; 707719157; 163132156; 766203165; 507609103; 304633283; 666363032; 325965478; 693281038; 572746562; 278389415; 156156763; 44557302; 71445366; 834041017; 266459271; 544795332; 562395637; 922820704; 494339832; 148014461; 731733123; 257906147; 821309928; 866718860; 952669950; 213975390; 977572434; 40403999; 111604379; 272893517; 176259950; 984793395; 928283675; 123507413; 415653739; 234903675; 41778588; 100419384; 165950749; 697574664; 622976287; 148203639; 907752714; 700856552; 741802741; 761484176; 934068556; 399236902; 505579215; 901921484; 213611441; 82261048; 785702093; 467476707; 427929464; 140973057; 832665284; 2366916; 509321049; 271554775; 194834535; 853972138; 986363264; 362570607; 938170947; 653629774; 519061135; 954786603; 894743456; 810380469; 76563650; 381240983; 90476865; 797757105; 568506537; 792447623; 808173311; 870019719; 581058644; 51651027; 10712147; 604680179; 324882177; 730125509; 553361623; 454164915; 656503426; 570505534; 761265282; 238232361; 166462767; 504330852; 74237884; 701458160; 377482893; 135790798; 538441180; 46600668; 655151919; 360698986; 300288975; 807890728; 342833901; 280323106; 829784272; 18879719; 993251176; 260185156; 749103637; 555193741; 182537742; 370535900; 853167077; 881334835; 354015336; 193486549; 107474492; 627261649; 93363505; 200283757; 932813448; 514283671; 732116546; 69754994; 203791371; 6736095; 818891609; 753753157; 933731757; 221609545; 448590221; 717159602; 56277206; 942572136; 404909920; 742469080; 309409984; 68213805; 976198431; 415136053; 69461574; 741954874; 584448704; 752632325; 557718186; 957073503; 920625415; 756041586; 943692675; 50453952; 333816201; 791984168; 638764263; 639137988; 393224740; 124268680; 861503048; 328746373; 860580954; 825918742; 632835667; 759895911; 736706085; 76732489; 183867523; 471553570; 479372425; 894857238; 619090547; 608827866; 504562269; 750112892; 483162967; 524755869; 889170524; 959733221; 1305610; 393138125; 498067281; 140284643; 264031610; 378886432; 139726753; 836378106; 103014658; 523049398; 230949958; 101325638; 629103755; 327585920; 829022994; 832996975; 281046633; 542181370; 890616809; 8066514; 989247851; 305353791; 506105968; 728216203; 578083538; 173232183; 475777282; 580504100; 992032903; 418837253; 614143766; 498945968; 455348525; 790929671; 948530126; 574743267; 51794624; 560347785; 944348091; 518077400; 431578654; 551957818; 421959462; 534052272; 231684498; 205969493; 586299416; 877388765; 978930344; 32374062; 806925909; 400304464; 118606830; 669942829; 190123796; 649980739; 374440510; 264493269; 623068644; 857123944; 501639148; 138648533; 589184265; 700221406; 579901665; 680540363; 400196345; 972213646; 628671825; 154673716; 91917455; 255840552; 983765110; 314252176; 691591290; 355550045; 611383258; 356672793; 100459445; 485347651; 837651386; 985195305; 652181785; 44456769; 702817904; 592969118; 743058772; 84607726; 614531568; 227435602; 905748821; 988396164; 825722365; 202494537; 988873499; 641999066; 260163073; 784337193; 850763625; 770390685; 407281685; 390673261; 228515432; 481104248; 840137246; 18061815; 422044279; 245150661; 432154035; 218780795; 746265680; 665823434; 496880541; 57820039; 243737401; 124735897; 246376449; 809643976; 764355122; 484208912; 584892380; 531349221; 445108906; 110604337; 829529337; 256576653; 413057015; 825711736; 74363058; 99192814; 158977575; 36470963; 368641892; 359097779; 256013876; 621485504; 779466231; 28589126; 152603147; 791240144; 451349873; 470503020; 792906797; 532839653; 494658522; 282402971; 716382806; 80553065; 905021953; 132088116; 9209409; 70047955; 128281608; 352393908; 737563898; 145263867; 762643030; 289231650; 954648871; 888366559; 813175924; 92060628; 790480593; 439464868; 541888867; 443305113; 521880856; 600860662; 916027555; 629670053; 224711855; 877854586; 78709954; 340673649; 1405525; 986188671; 178169065; 548411633; 811380430; 54342286; 151822299; 200821575; 458720628; 86034773; 221166951; 912796568; 249534530; 207748931; 58777094; 385642814; 657386417; 348929041; 704216210; 793299311; 866283492; 223087146; 101723232; 610439741; 956984109; 235867732; 991423229; 424495952; 381352101; 161230539; 481422195; 650495857; 143705145; 681770397; 928987968; 936711082; 973291065; 37230060; 944824467; 401994731; 895886165; 697268116; 991481364; 313873237; 337889980; 357002828; 384171837; 861939455; 82621595; 516763579; 153453914; 688772181; 595053473; 532489153; 977074636; 804072482; 220054150; 903855227; 879893590; 261800906; 213969431; 553293367; 168317081; 702530706; 983329619; 477457294; 1754767; 166479690; 667384605; 936909877; 104306727; 445744239; 451507264; 517660616; 230169834; 703398962; 930830949; 89349991; 73245564; 117853156; 10836443; 842309398; 581781568; 771652922; 261569962; 125779591; 543351246; 994562433; 463878752; 479764742; 181523752; 933427601; 436343804; 325944806; 835948704; 330734210; 261263278; 155686133; 108552719; 398644945; 683447201; 762347760; 890770125; 2543570; 822248764; 681803183; 99572627; 39358405; 741905043; 885093805; 26179277; 832781630; 783161033; 605507652; 745788955; 727857475; 397510222; 367860562; 799917998; 757621927; 674918615; 399990754; 902661792; 745644621; 274957336; 732788189; 655507371; 170084296; 473936667; 652060907; 30100180; 647228331; 912931306; 110898876; 32904974; 263329744; 295428969; 955196031; 235663084; 867563600; 160801103; 781801691; 147128877; 949007028; 154582256; 28829082; 190729756; 584037585; 220395121; 28373797; 612989846; 367657805; 671599743; 770536264; 652629998; 322458056; 553916948; 602717700; 327774228; 807026705; 907412648; 341893022; 760724440; 436557497; 350301637; 468835378; 326318388; 812231542; 686026357; 618572303; 863248578; 561890861; 331334429; 593838580; 381506608; 379047607; 28043423; 341267375; 563371843; 662101273; 180421536; 780622656; 391845386; 370694974; 854956739; 897347397; 79661773; 575545232; 834490734; 328018116; 419702480; 315310910; 907942379; 13619022; 502756790; 752608247; 241646720; 881841366; 652960863; 970657804; 67567859; 940143265; 515961903; 308268846; 356031566; 384668244; 616153365; 475908529; 939524671; 507843365; 779487085; 588270173; 390926006; 853109561; 177659608; 93488429; 277261799; 571753786; 999183197; 6719325; 834315694; 299775482; 930491826; 696995669; 350619788; 981413341; 865530263; 494070121; 77118824; 586798734; 840473812; 145961642; 300413643; 975049151; 432212248; 87851635; 617875381; 781029541; 255818186; 802305857; 552168799; 387266455; 942790871; 213394771; 368986175; 801276651; 283354151; 199634821; 260313502; 44990612; 999502978; 437761265; 698873925; 184457511; 454775288; 547089273; 340990362; 13489745; 634211620; 849231367; 5159699; 404062697; 69533213; 97681198; 638148037; 268068711; 632896647; 272313363; 940284948; 960597152; 652355929; 545292276; 326112022; 344772759; 105348267; 911745684; 601609571; 750325621; 111592251; 886275505; 39422328; 17871803; 839435705; 980790154; 811567034; 312785561; 992747864; 817460044; 815261033; 248114432; 276355004; 922883230; 683790275; 785832651; 838648328; 345328733; 691612115; 352074686; 294043517; 805181623; 669951421; 959843154; 568238196; 633174204; 144477427; 503252189; 393388927; 74215147; 36066650; 544781886; 293230732; 519391142; 83144638; 640099821; 228816297; 350857066; 631901410; 717104485; 944555745; 923879235; 98568061; 967533616; 437528785; 902770138; 164342655; 977645533; 430929579; 121678247; 222431533; 396075493; 579271798; 432873038; 800504364; 36809919; 56549150; 729019838; 387971506; 854351588; 625925253; 621804230; 90860798; 754034555; 851235574; 779425975; 737898861; 91477703; 56984502; 871250757; 1264913; 21042737; 788463746; 364002391; 309377787; 292855513; 925450187; 668368479; 267561747; 281139456; 595593391; 298067117; 508721287; 317289536; 148587493; 613126556; 229981093; 279090281; 296954172; 900662825; 121231665; 920892563; 652178542; 805980775; 46107186; 544375905; 40926503; 254553977; 823403767; 619844316; 240997198; 491833370; 547172735; 631547740; 12089767; 994888060; 851456370; 575218530; 509307581; 517475075; 104082106; 297117476; 457512495; 174224765; 192604679; 102865821; 794743399; 942942276; 887904178; 739406563; 672463527; 235603789; 710299870; 846176603; 25873690; 387521477; 880336594; 234774068; 583613345; 764763701; 347507613; 949289568; 684167590; 116179716; 207503073; 466958582; 378805696; 998933869; 537642009; 966438421; 852063011; 910567393; 213815448; 43432548; 433761335; 62800761; 625826805; 383811653; 249409547; 744218045; 573369390; 928687180; 712126217; 45671983; 809305399; 821587488; 959113382; 20912077; 300615908; 633626105; 479311606; 339250551; 624762238; 342855740; 383342410; 684111888; 259446107; 544321873; 901001729; 554685553; 496103191; 758489987; 14493469; 399314907; 151235287; 601826193; 327374626; 340732622; 688307249; 157341463; 936684380; 118784566; 855040211; 718283724; 667701294; 657903532; 531069263; 170619616; 70126781; 290290256; 68225028; 517947972; 105273219; 608654902; 265888009; 672121216; 612496891; 486815888; 763947168; 387002479; 217365683; 772418588; 202042619; 142175617; 443132385; 593016966; 26104785; 699718187; 152789668; 525962092; 833826591; 810720744; 416000497; 244112640; 301459909; 702876510; 444069977; 191690407; 215469938; 781463248; 882359462; 391866182; 535569895; 656560465; 431554761; 935439157; 273407382; 640201257; 201111601; 660383161; 760623988; 337490329; 195168259; 671887240; 441017535; 453517851; 713177431; 75130069; 388906883; 912814870; 753963014; 517790986; 941251464; 463785050; 444859019; 46931780; 847344290; 298291242; 857394604; 792953550; 607783335; 568373546; 965799189; 144881457; 546833135; 679068829; 738209844; 52910751; 925700434; 640399418; 286349524; 681517498; 85062648; 24313210; 726357741; 177933693; 250225993; 298779403; 809752408; 721124259; 529872344; 883106502; 856300278; 293155925; 322670254; 451149465; 588604671; 643372363; 700346119; 932890587; 138759934; 478621058; 745858545; 39463858; 850305651; 401108826; 469756922; 863350851; 703876012; 327633902; 10748953; 245206620; 974431488; 530842641; 541899532; 922477404; 88118400; 49453427; 571591814; 787201417; 4183623; 95562823; 757804434; 377455279; 254333216; 281324559; 575021458; 478779005; 919549683; 704026558; 945141831; 873694462; 798896121; 181927353; 958420301; 754727116; 655732669; 886509913; 553976795; 336030183; 300250596; 141823374; 274300379; 912997458; 115565868; 425475712; 963139266; 540609149; 355875381; 171060967; 653767215; 18434848; 927569889; 160037223; 721746673; 283923693; 575477761; 740528915; 567689627; 143377634; 798089665; 117950977; 62637039; 785279860; 127312632; 58871129; 802825913; 468175560; 979635290; 706235134; 883431604; 762915034; 955272419; 26193161; 995668997; 30692548; 247700284; 222933650; 104296648; 125924088; 963402285; 972509480; 603687058; 517255290; 167688770; 532040958; 293242517; 893427750; 781376835; 219697185; 527666858; 450472782; 872866013; 47190211; 254649036; 531166278; 349684561; 814076815; 454132899; 411555878; 297734845; 212206882; 914792389; 554338412; 890272839; 902634921; 464891875; 823393444; 783255204; 363527720; 998099339; 754839267; 780616460; 336610554; 917784974; 555348486; 412697210; 347569528; 554741901; 479018550; 342897458; 511929128; 303107749; 348355202; 848528395; 434516779; 844688798; 51469151; 92523538; 388366597; 332362368; 791354096; 733326031; 960266412; 600914479; 157886252; 872568652; 484675382; 108250234; 118050132; 941774991; 468770043; 535377580; 766235130; 459083184; 708458698; 741249300; 683518839; 197353681; 147355252; 393546464; 943427692; 13910928; 123647216; 478427589; 641344853; 936002084; 389431232; 899265780; 459788443; 401939225; 395317586; 367112682; 828856370; 366217056; 127884066; 381562183; 70247739; 582226048; 531306214; 832350578; 329702556; 351212747; 99960942; 61194076; 441656964; 829187296; 831797521; 338975397; 17875220; 795805506; 905315098; 598625003; 467520268; 595600848; 321639444; 956300866; 270585629; 687129522; 23262768; 178471648; 822662776; 78248397; 330592244; 530942707; 252531105; 544745905; 669889680; 437996822; 212645271; 604693689; 979101412; 891503346; 299918440; 618362965; 93164921; 37755039; 42507951; 316087737; 914804443; 618536901; 531139169; 15617722; 767040594; 303792626; 804245343; 988247458; 468550089; 719876710; 551187336; 656269843; 876800805; 326570912; 906220176; 749055775; 629415291; 156109368; 940170968; 504753554; 695714047; 252524220; 508744939; 488598037; 642065334; 124526234; 750619279; 20258865; 977387767; 494116741; 81176431; 576610832; 951086458; 74408987; 661744404; 428467765; 972770802; 576128588; 262649465; 784479091; 893979777; 90170002; 508670125; 279726646; 287079062; 831522181; 617175992; 634793445; 743457752; 493679913; 520776664; 885109896; 825956967; 434193499; 81360461; 69437537; 973974344; 448969705; 378462879; 998415997; 731693211; 184206072; 804749779; 276933757; 410569920; 776475599; 291374510; 754199066; 781579726; 238604672; 169767314; 733090112; 786270043; 119203816; 651389543; 146292235; 80835708; 724568534; 521332755; 498375991; 147722278; 142893352; 46464361; 319170580; 174281632; 287996835; 445271151; 281933364; 73498069; 318379380; 33840919; 73839195; 223244948; 495208269; 75794125; 611267756; 800377808; 494083297; 807528630; 368206199; 850468275; 886983662; 570385161; 261210902; 930228543; 584663972; 533636472; 965855613; 294159653; 641599519; 520490296; 328031480; 509906425; 653199067; 716935320; 126263131; 473452177; 469644893; 552266774; 588326919; 71919202; 546704399; 654631863; 607332860; 562321967; 724198122; 619513233; 898422420; 600119169; 244983280; 107578419; 455621537; 462602223; 779674098; 367972828; 358246431; 628466683; 292863158; 263408368; 844281735; 276658450; 481681416; 812588633; 592627588; 690730189; 631345766; 361082383; 234618527; 705729493; 934124290; 299308355; 387966286; 980268675; 632672933; 600770423; 45527305; 424369074; 820645439; 834932032; 818171929; 598487194; 509866714; 905006565; 909143369; 745918804; 963414626; 652155603; 607155386; 180435916; 234623590; 797486826; 421870654; 590357215; 687447759; 780465885; 401824112; 262706384; 211374739; 274660524; 175893836; 240898236; 741197693; 859757372; 72627208; 439831437; 947812150; 783191999; 507155059; 399958818; 574129575; 12070646; 611753879; 97432940; 486990699; 358805393; 812553130; 761768871; 35217120; 236510950; 5096621; 647600410; 638382901; 875267723; 64201396; 99681284; 695774846; 960604115; 636596478; 228069042; 872562997; 678247635; 342919725; 462955955; 258066224; 906448638; 932790563; 653304294; 8683187; 203257886; 601346021; 481445162; 936920612; 61180124; 836952749; 145076771; 407344476; 437590953; 993839252; 495234460; 490261088; 659287647; 626130734; 225834055; 393812989; 33389480; 760410263; 117761702; 759081457; 757198096; 90954553; 634425661; 593119417; 825846405; 865826803; 907395740; 966453984; 672239502; 937129774; 493120405; 22751965; 510019605; 222583035; 568265510; 424018942; 507653341; 330010377; 901825427; 588127426; 984288036; 359152505; 257544735; 588708428; 329843979; 59052836; 151438456; 653619177; 562213922; 816733043; 206369274; 479461755; 613548104; 689636649; 842283740; 730572195; 721441336; 829180661; 868449540; 84624980; 648215073; 879331396; 295312176; 586662101; 762397018; 485941429; 721746889; 862843781; 466863118; 214053806; 155112641; 350337381; 45635958; 396485181; 963542364; 865760578; 293471205; 162335995; 699569777; 385246753; 941855633; 26261696; 818758453; 197788068; 453636284; 144533009; 7293949; 455556245; 837059955; 351579340; 849331356; 265866969; 933983573; 871066503; 420884889; 626179411; 345904714; 717243648; 459062641; 395843590; 53091942; 709135395; 199697497; 262668269; 527431071; 768884774; 773694035; 436046314; 687796445; 325405151; 695265345; 596731315; 980732690; 220885874; 477115348; 502402924; 255155849; 204075831; 169975378; 865373599; 758268773; 658378473; 910799821; 46875477; 412333403; 487004293; 501599028; 419875528; 609798552; 582539048; 942577179; 200381814; 303887505; 305490891; 779057204; 628807761; 102518957; 828222068; 472803029; 669163638; 848266303; 812640491; 152941519; 536751813; 58257948; 580399909; 127615702; 950565365; 996973225; 952933891; 469823054; 300964120; 76309789; 655088877; 61308738; 406688870; 683463391; 817495898; 390734084; 911089002; 744333132; 563271954; 996553951; 425907162; 257555292; 631884237; 204829449; 651371932; 858424481; 432840522; 810560309; 856082923; 780664495; 242402829; 907374821; 562163515; 835013696; 16934307; 845272154; 785509001; 369017104; 768176779; 840120032; 67454982; 163656735; 973466698; 466677143; 907378130; 821874419; 992187122; 133891672; 939565772; 418891727; 202947470; 927513849; 790272520; 213720966; 196770108; 454886675; 779774138; 187281409; 941090949; 688411563; 777409161; 873231173; 648990261; 594212862; 725995494; 826710113; 371656210; 345919351; 422954686; 451638911; 399309252; 644097984; 403261547; 30750100; 907379546; 72239815; 939500797; 909797662; 664817248; 504537149; 604021070; 259420260; 611302283; 452188710; 166762112; 129379316; 696366065; 517035120; 748294504; 929395739; 141295528; 336508626; 639341992; 471908220; 496783788; 5929256; 109090575; 978885824; 393979169; 729860242; 882345675; 350084184; 507692198; 819832473; 495969380; 324558594; 916980203; 710083210; 375891733; 669684555; 780223651; 80607029; 359887434; 905018575; 175994506; 957914682; 916412298; 288737675; 43406432; 162774071; 134519692; 595721610; 3662024; 852886233; 862263605; 869738544; 781951935; 280260186; 868917066; 667199533; 819946646; 478158874; 118174745; 382873610; 860727781; 547653217; 822418292; 25379677; 922599815; 650627162; 665732; 321113672; 348401438; 630402462; 327587761; 227583538; 898030789; 169914437; 223333171; 531579499; 945756743; 255668785; 819301179; 672272705; 980511066; 687238025; 301600639; 986296355; 679327444; 362870071; 612252004; 937469853; 684540915; 7137163; 553421033; 424350669; 237640672; 30455664; 566573672; 461941414; 823590928; 908183417; 31923929; 957726824; 600320913; 788625413; 177315749; 284836116; 600925089; 798298905; 65677576; 143390720; 755607688; 555043304; 468583492; 458387922; 801269520; 311063992; 78001167; 205520141; 143528215; 323634035; 460975518; 835976261; 653211129; 831183478; 32580705; 370649843; 369852723; 482842410; 329134901; 303182512; 628586012; 523445002; 119054118; 643769620; 824321664; 476276000; 82908491; 98070938; 266912415; 195461769; 225810469; 941834950; 919016274; 527472991; 808315256; 889642329; 709529616; 686721196; 150976778; 195924769; 818207977; 678319295; 883799876; 830531152; 759436371; 753236704; 950776945; 534627417; 910686395; 368223451; 652003946; 752378035; 873658559; 771418398; 223925762; 838300765; 70550569; 405005978; 449312605; 289170851; 571606280; 878727493; 758446367; 625039650; 933476236; 185641281; 265338051; 23263761; 977460277; 131853501; 177239684; 249260940; 929255633; 660309409; 703950399; 28287170; 675503915; 16060922; 677957255; 839796259; 920491985; 216686814; 999240701; 234107109; 370552584; 332441659; 887450552; 380407691; 815865797; 507878696; 789783112; 186105252; 828109836; 97446341; 880967583; 62905455; 798346658; 374337244; 452208758; 495386413; 256600543; 488645050; 664958798; 32056452; 295763797; 485262441; 657506774; 859451763; 684498252; 119355183; 856914225; 352118990; 386805816; 267296130; 202063633; 998647475; 98021615; 141475641; 486823634; 7867973; 919128790; 612176836; 934752899; 664271502; 780217163; 900594232; 725243872; 805204536; 726647896; 402276851; 73675026; 580767992; 50802461; 101961959; 410840953; 963200102; 210698348; 638349889; 781197177; 137475940; 583453298; 553686021; 386735522; 631165445; 622148070; 226268677; 50283240; 44369289; 640678861; 419889931; 659020449; 203612462; 775485421; 148903667; 273365418; 171906512; 181978428; 170180152; 657680639; 302545716; 426721938; 453411994; 548472050; 285722925; 800814555; 523004676; 520963984; 788659952; 456076941; 768426744; 44234183; 546770815; 230967288; 99346665; 720654662; 230845990; 629130005; 611483877; 791415614; 927677072; 352045213; 772457850; 90719648; 834087630; 846151172; 699238888; 864597813; 282414648; 677143957; 518941098; 648550903; 564482130; 56485107; 928126641; 140913948; 466308790; 243877803; 313535875; 687290822; 920334063; 338696836; 783728056; 833527243; 943359844; 674795522; 327125209; 851317050; 790898193; 427910505; 130929872; 117534392; 214669821; 251254858; 910214407; 46786992; 242945720; 205538039; 39922242; 768482410; 37935149; 957830011; 860083320; 633209344; 314966427; 160080554; 5068132; 510751574; 71674938; 787661232; 996269166; 113305800; 196139482; 87840208; 861208159; 61478813; 198261304; 649220263; 897274337; 161655706; 852566275; 852708857; 879335054; 621685380; 263087812; 863408478; 923549847; 940370373; 118301612; 324690441; 139928075; 512661402; 137145026; 257566368; 254467241; 281240552; 546044592; 532496807; 5360490; 695331635; 533302414; 412967114; 356290083; 734556371; 61537262; 209458763; 231105814; 62952415; 272358328; 772525527; 170678460; 735801812; 784013968; 915247034; 346442198; 231904726; 668629021; 397695460; 839789134; 173308527; 364506076; 34222942; 244025768; 787154637; 61116923; 874002237; 157983012; 536959498; 177945470; 823278467; 6099843; 115374268; 679940436; 817985012; 275448981; 129981417; 301871400; 665961924; 805521040; 119565591; 924477998; 527157905; 296177816; 877516455; 588542959; 200788276; 256929291; 366665471; 759998572; 412739730; 6071302; 408169794; 521075639; 889700099; 759069348; 653283728; 617426966; 979408602; 238379066; 802959942; 576739654; 140211485; 30250077; 113556455; 9139694; 607541889; 350918866; 643362412; 870003543; 822004748; 827366690; 569070596; 721830530; 618987133; 145036996; 158410266; 201135777; 17659305; 42611987; 657877751; 878530529; 501273811; 755648132; 46875143; 468158706; 833781088; 939207982; 262973558; 180197267; 963411252; 468914979; 240481784; 270441009; 545856676; 455633438; 635429835; 443735293; 787894210; 674192408; 870385513; 647909747; 611122456; 615578829; 402826308; 956051225; 943629033; 549302422; 152191712; 125586750; 472904342; 598131985; 831507292; 198162107; 111679497; 134711267; 897338516; 393017618; 979516601; 874959375; 870110898; 102352012; 614857708; 217226102; 566027801; 14150152; 251508685; 45902598; 175005429; 985862281; 374699638; 541042551; 654906054; 559355773; 110974445; 968331493; 359051760; 630522955; 304730401; 874651776; 284625312; 195088667; 388467853; 867136693; 987254115; 774244778; 47921142; 413465930; 600834718; 50645133; 712051601; 918650227; 251231138; 385204136; 613602087; 538419805; 947735845; 441169950; 364079544; 801332261; 333155666; 964516084; 200690166; 397639294; 790282267; 356166417; 96931493; 572574261; 205620006; 228155186; 219084443; 37556513; 669956660; 266320746; 204702708; 279035551; 537557000; 372593913; 907360408; 296992626; 184774453; 988754429; 646341796; 272449974; 431852017; 765547114; 455653173; 445326037; 461045180; 105963459; 553390742; 912389525; 879219684; 14153611; 21457101; 866835861; 932209863; 66026085; 421808333; 872196606; 953944985; 392105806; 211201548; 533481920; 817421245; 105023958; 903632181; 41632558; 305389569; 890837959; 331603700; 168791944; 349100887; 100286509; 342913393; 802160403; 881876610; 836236443; 254879116; 660802927; 680842704; 377312105; 738176597; 964673635; 29882095; 168655971; 661398051; 432774238; 582131731; 635534895; 542861035; 91319100; 322031513; 745410799; 523050174; 217818130; 271964484; 175464637; 708758035; 549249832; 951908089; 651860364; 884686263; 1134896; 228036796; 38327130; 822274549; 282916945; 339049838; 491060826; 529843200; 881753600; 223025791; 322458407; 261382033; 912302527; 24785097; 432267393; 850406857; 675698488; 988515613; 456235477; 59051024; 650229008; 177839846; 257799726; 712136175; 217117556; 897006590; 166579771; 737327678; 65775487; 81551797; 893302591; 117309513; 831538348; 460806833; 491624105; 212282019; 416088911; 94693522; 766466013; 684547322; 744511399; 72013297; 633707703; 292196425; 391029783; 320947184; 784907024; 389504851; 857832983; 478303596; 634929764; 10195287; 741385909; 131609584; 240527798; 904691944; 462309024; 120865579; 756193563; 13767180; 195379307; 655349585; 839893172; 298234900; 855849308; 555959406; 308619413; 856866643; 473210522; 666818969; 341381285; 107633383; 739841331; 386594279; 534084774; 952500532; 756102475; 689417195; 604701541; 618434285; 355737406; 454617527; 418903054; 876746330; 627722994; 883899977; 401469087; 602080319; 898148909; 827679206; 249020102; 285895522; 848048108; 867367220; 261149548; 45747959; 65181111; 107961285; 123866544; 475649887; 951002988; 146905291; 467694764; 973728531; 730563197; 428314983; 761587336; 551118690; 593049534; 780904160; 12827720; 252950439; 429637180; 697531085; 283991269; 624914945; 256692015; 185388069; 611094331; 231251697; 716908007; 137730151; 245046585; 105849779; 955659016; 480838292; 269764251; 488610961; 309832682; 319013678; 562143702; 301432804; 209120435; 281282735; 874295065; 811940535; 606769098; 57142154; 616128371; 849020857; 745764175; 798697551; 869903294; 140345894; 900486291; 477928786; 987263771; 11375420; 619964357; 961191189; 803628475; 172040302; 317574757; 925427473; 622684805; 778165717; 362319266; 684103149; 157758824; 450539585; 378142643; 69866750; 689298790; 221991267; 864662329; 496879102; 323957402; 14088386; 708403352; 751322066; 479537062; 571019743; 377700987; 221488149; 319679932; 90437572; 979502799; 573233981; 870608772; 803144176; 627611622; 764253377; 672085772; 212646210; 283895536; 823885630; 111037932; 644465283; 879932904; 172092056; 588209182; 766965245; 224777000; 544087478; 589186070; 925350937; 623094895; 770240938; 567622166; 173522847; 420031253; 744152268; 170840006; 375767907; 22516478; 697926128; 699916101; 325697006; 608049927; 627891875; 245872960; 289694776; 937768219; 462319548; 216608416; 467878185; 700699069; 194656072; 586515013; 874806524; 551185547; 808291563; 177617797; 553094583; 115513759; 179191062; 164866712; 679343996; 308112205; 174720774; 589592038; 293547279; 311396294; 733346983; 13593045; 731898664; 602657183; 105204137; 533806595; 884465697; 485674901; 224868878; 78116516; 998308725; 582068219; 315046893; 620783824; 912591868; 219529933; 544987400; 126518852; 861333840; 120047791; 967987412; 666614096; 963889943; 375155270; 893623847; 322789951; 196703420; 839334288; 710135879; 905186098; 493036672; 898432495; 119858870; 799574080; 379792238; 885975853; 400409283; 688689376; 683444878; 690161195; 80234343; 982812904; 255107232; 887122588; 518283071; 473081079; 635912076; 623122894; 851859557; 506596631; 271174566; 252700020; 779182435; 973607466; 105122196; 89801492; 192768051; 152374809; 669903149; 367275421; 619276038; 25322307; 833941329; 820624764; 311749271; 566357205; 948207336; 194472722; 265516015; 521227518; 314506095; 488319010; 538217763; 468986007; 220450701; 160614915; 526544326; 784359843; 655983066; 28351039; 42985772; 18129666; 941856149; 910334509; 698127148; 204317083; 970094576; 61678399; 620240859; 592973363; 655680651; 724528618; 249403415; 66177577; 296937365; 790509693; 344076948; 380845307; 694230913; 932821451; 257367692; 873890073; 451669430; 932716951; 610483693; 80665493; 941894616; 836884482; 732636174; 361307846; 531352328; 691365811; 21523313; 333818794; 258305839; 708401740; 385145697; 334557828; 748208857; 876599090; 966602362; 328716365; 718908562; 773056303; 683849416; 961003614; 49585164; 759138096; 612066044; 876669842; 80601278; 266528601; 167275562; 141707585; 732033420; 920082623; 67167621; 107751958; 907199053; 219195152; 75766421; 289400094; 880319028; 135761394; 456571825; 154553171; 673846720; 340959714; 70262880; 322531028; 834150118; 997897466; 146880515; 900889629; 90630481; 778952407; 584795812; 821195559; 195486474; 570064361; 26978173; 846587676; 398899331; 568613813; 764870261; 254906737; 32642525; 388050003; 333513800; 975479324; 218510483; 768443550; 488671908; 626553749; 117020755; 34779238; 493839034; 182208594; 972969763; 34616493; 380223045; 538960519; 503371837; 691210367; 171023399; 422079712; 286814220; 424487195; 922122158; 738924737; 868229932; 510757485; 202161093; 375783253; 271610870; 670283891; 844577774; 799627859; 125334950; 339914146; 68815094; 829025627; 200778482; 852480068; 979720045; 973509420; 824518378; 666821550; 604277451; 667733781; 800329655; 327443814; 347706800; 687780742; 408637444; 767500535; 395009134; 8824902; 940007289; 685310882; 721154429; 502225272; 921208612; 530228208; 590300458; 430264586; 204250103; 986629833; 808420919; 504805097; 757500657; 801821831; 28220971; 66164332; 346993060; 72304628; 344728971; 36857048; 3175924; 472394935; 92169265; 769653287; 65965678; 314897175; 288463883; 601181932; 570239707; 496875518; 497831374; 408715748; 201658487; 769752678; 346226040; 447508812; 64314175; 316063907; 800663852; 372934160; 317185926; 111486382; 950063543; 183197921; 181156529; 148220101; 513416377; 75613712; 989948469; 809381119; 603597759; 997975504; 470697762; 473365265; 397691882; 99862880; 314722661; 446818965; 800395473; 334723047; 154152191; 755253092; 430471315; 673943459; 555796641; 867602444; 289846013; 100243609; 628070766; 422634268; 220652514; 324836578; 266692207; 102407758; 461897659; 120219001; 622269125; 78749453; 308277874; 932107074; 614337716; 570141034; 605311136; 442736566; 357711393; 427003389; 351007818; 415227317; 713929764; 989310721; 336062896; 746828909; 267765425; 854607652; 302453454; 950364490; 133952754; 326631245; 128421400; 258228003; 484675305; 176376103; 876288008; 151898213; 247938896; 829351610; 756448724; 179917040; 890785035; 425595032; 36318999; 980939718; 487272466; 552506531; 3058245; 964435746; 484615841; 420469931; 577074108; 922427017; 820354264; 64594533; 599502482; 726126443; 516302836; 25224341; 776854079; 189916267; 882074377; 264303184; 485069185; 155056620; 810301641; 467965264; 124310969; 308596684; 450291148; 796594486; 725375723; 494793934; 723724295; 982703271; 95903539; 189720051; 216674255; 954965437; 307318733; 762732073; 536137384; 670427182; 209863533; 427554460; 115355595; 887506503; 291227187; 765939889; 429813212; 711478948; 502020696; 692273415; 131711583; 718748512; 769363628; 928989254; 497675878; 491928053; 113670898; 612697949; 658613792; 726956420; 604485631; 925780283; 265402980; 303438168; 825047463; 626704009; 752203180; 244854201; 511939692; 448221046; 693980440; 846772101; 245540804; 494181830; 821529149; 367503263; 305124963; 446082456; 132713709; 266404348; 37174059; 390309740; 783842144; 647872816; 975428728; 915066198; 240763349; 928943215; 745255960; 745994031; 265915903; 366361042; 333254321; 594127680; 675902845; 819272927; 36475816; 534952569; 51874255; 179169208; 366445028; 767963146; 57670216; 656525280; 630451601; 501305178; 805016351; 34426867; 663496822; 961930989; 338052002; 373382376; 588916255; 568380267; 323933730; 420752166; 138443603; 360453961; 914691863; 129475189; 443732190; 122070758; 420508009; 676007351; 574075962; 433588527; 704804429; 597656138; 667775167; 711480868; 431110530; 596543867; 737577520; 407748451; 564704069; 476511114; 494202646; 934293822; 249088176; 863858010; 173943943; 806646130; 245903820; 731686497; 888310090; 60153136; 407891529; 249421455; 992226626; 478585977; 354849088; 979070170; 436045412; 619649327; 699830308; 263922803; 758710116; 553630215; 728182959; 834801410; 355362230; 358500102; 673777190; 185006843; 356645991; 220354792; 74320232; 727920357; 624698317; 718061189; 372344714; 230053191; 758632923; 265653725; 781382385; 18815310; 76191897; 61241013; 860063344; 971153859; 333947781; 258880559; 414550228; 293347822; 601729421; 851278713; 638608624; 643347398; 453626671; 853137707; 295734741; 795988573; 241367817; 986906792; 392294713; 323988429; 742003273; 796055262; 88528144; 310092912; 213211622; 925842225; 376279601; 692158144; 727251591; 520657412; 151933265; 579281464; 287826946; 217076577; 865204716; 114207293; 456027966; 676984068; 744568237; 758623630; 876817368; 16596897; 641468719; 173026368; 977738789; 58101825; 229453612; 497930335; 155608146; 560036838; 777151770; 266699600; 697399132; 470031817; 848256930; 135971092; 604120287; 487415289; 299105304; 956965477; 934872782; 816245098; 134642098; 67576862; 521148489; 951898128; 531710900; 973571147; 166135469; 145914124; 994009347; 115554051; 981380591; 542854298; 546010093; 194800541; 609049202; 697398439; 157159314; 844164236; 640741566; 933470549; 586221052; 246100695; 423506346; 209681550; 255970112; 846261931; 231945881; 145931689; 73402566; 469793077; 958286891; 707105894; 69330479; 273135265; 895108389; 924907288; 153991670; 270843564; 868750071; 889867049; 26797919; 521792235; 823686813; 787238941; 138816617; 17483670; 118506143; 343395846; 609123310; 463032443; 179655945; 58931218; 12107735; 446553379; 941797092; 550341910; 30796484; 144983746; 866458050; 967978298; 121751131; 306763009; 177230881; 308961773; 118060619; 216064686; 534725961; 737392274; 430418760; 594228686; 219566756; 982416931; 842310249; 945285664; 658193690; 364957206; 623905965; 973537944; 535452536; 550487850; 702462448; 70563259; 598750618; 985480827; 292545921; 615242422; 471804827; 883786558; 61363155; 609305680; 735532102; 189862924; 479212373; 485140732; 433663019; 277821755; 298465935; 440118930; 100734788; 518316660; 4895681; 306177065; 761467333; 808796007; 471906729; 981472621; 98297081; 891004063; 605721453; 418526290; 516911690; 781488275; 997020069; 555640464; 586822188; 154247027; 38484461; 404401001; 777335953; 54829763; 397925511; 391187113; 289763170; 491105850; 969788201; 412587517; 519263767; 428355896; 161551391; 41620798; 781679865; 126259869; 366198821; 690230939; 827933158; 385576589; 231608703; 242887563; 987499762; 950691328; 74043965; 328971985; 920988563; 427817779; 733989025; 805388847; 406639061; 394265637; 977339288; 341029237; 98527599; 276279270; 356076811; 392301297; 842294982; 167835792; 686585025; 118914670; 136850681; 618306421; 980793372; 521029011; 336976146; 834938942; 847365637; 929151126; 874834874; 427118199; 704542249; 552424108; 434783460; 905529502; 726852478; 2742244; 961098133; 389017169; 997957022; 704940740; 137796580; 740671384; 313578321; 260271860; 286811921; 639440814; 985952440; 117113721; 626548526; 699078424; 432526166; 94277281; 352096930; 762853759; 77006242; 45592259; 22062007; 858315706; 456585263; 653723087; 492058875; 887309463; 106197182; 364028827; 655944326; 906284184; 518083769; 797612162; 129144587; 732329862; 877051946; 559803013; 757711997; 262311210; 514167648; 651838173; 826097042; 94735162; 830332325; 677372501; 202333862; 55298115; 333657570; 503567405; 180086814; 385608457; 702014411; 40968963; 602118070; 960765600; 711283617; 436684519; 30919197; 336228650; 166463267; 620008191; 207317032; 228284747; 783199976; 788043489; 165646081; 18194087; 647254026; 1823099; 588459917; 738241589; 892156714; 116034248; 89167915; 887510844; 759119709; 787968104; 984506189; 337478663; 462266627; 111811898; 691045312; 227324864; 7347663; 722515809; 834434580; 757367515; 254612781; 835021991; 691243860; 8279800; 645583386; 790911504; 800329957; 675218730; 469080868; 896629341; 220370114; 50790954; 384698417; 302688956; 966543523; 267489759; 796805677; 640428627; 837673151; 696092032; 253613989; 306557951; 854574708; 857566419; 726486707; 768006861; 766618301; 995179295; 205525275; 238947881; 323572960; 956725034; 869692799; 614174485; 69713676; 363888036; 911653395; 488977250; 258593424; 795581292; 223767118; 926609254; 349471337; 704759548; 409500674; 879439407; 564349087; 139244156; 207120996; 411896070; 453998111; 132984112; 225657553; 833582714; 384966538; 232516823; 534057372; 305956363; 274835151; 799572109; 504973442; 993818135; 747723586; 103065976; 726445754; 98392231; 32237871; 131173106; 627433912; 297616363; 793197584; 643071336; 602943845; 64313501; 464557016; 976450405; 321706306; 702891295; 953155982; 93700079; 385067591; 585890062; 696941175; 772032689; 100307061; 381992000; 885845945; 752820440; 285228433; 533689908; 954209323; 583016594; 129369053; 449814115; 426872220; 765527641; 322401117; 874002637; 77773302; 853185070; 517167846; 265116473; 622822627; 532729226; 433975690; 328383236; 425921253; 782738023; 939632197; 425242621; 870398735; 231052844; 513198904; 231808501; 556495662; 887074364; 528990818; 904935131; 168906933; 755181646; 338458455; 877016386; 715182664; 641133844; 340470042; 846481483; 381800844; 462420544; 749820876; 939827908; 567056822; 838492264; 330250344; 264348480; 228002208; 76095284; 28530699; 47257901; 887503995; 787407829; 15983818; 888405627; 740850289; 133502987; 462913493; 364170704; 383340425; 935000501; 604092918; 488611454; 330169664; 572318145; 718619303; 959357051; 690642536; 873020987; 466936785; 472282687; 539875542; 542866127; 703472855; 292223971; 262314351; 923292239; 2608769; 918560146; 930468721; 541216832; 733219610; 389042305; 448229245; 885798768; 834669473; 123565446; 248112067; 596745013; 800068310; 146118865; 772162807; 620953539; 455950702; 927694028; 783166843; 257519589; 251318171; 115685423; 463969143; 447164810; 891868078; 539194444; 178654407; 44936566; 579775108; 526057627; 933515873; 363648942; 558653501; 731823898; 222758673; 380089997; 752533103; 188100605; 920822291; 656810967; 716399397; 963702468; 651444529; 70028402; 796444429; 218435145; 665762901; 658239423; 879994500; 85935264; 95836082; 623279667; 316523435; 983137175; 506815629; 218247181; 833609939; 500685610; 173739749; 14591764; 547824806; 287118380; 477601753; 523737105; 806969289; 219584492; 610342035; 326168981; 11159360; 828597597; 832514244; 899245870; 645793531; 599222382; 165816450; 747898454; 174393002; 687277376; 722654033; 530113946; 90801132; 191748222; 671163011; 380567230; 904457224; 823476948; 857836637; 890625689; 204367449; 961707799; 301227773; 261028571; 899479705; 734232576; 638494682; 311095824; 565470054; 670092101; 512873223; 510102461; 941594173; 652930704; 513540451; 932892386; 653037147; 326062674; 322383902; 404173842; 840677566; 192454688; 153264054; 965613228; 568085467; 325246899; 253752817; 609631536; 869225059; 162178052; 254554840; 693680098; 659152680; 788239015; 546858231; 614754985; 873616706; 286921505; 970696047; 650747935; 375575264; 57553585; 126309070; 931262836; 261153019; 794375252; 63713418; 911076743; 404182185; 316172916; 491957325; 17370979; 757095598; 141156322; 311226020; 283113778; 700199609; 375121801; 408176820; 774458930; 181302606; 217805162; 201055723; 328451893; 591373725; 7127093; 129041963; 634375453; 873441499; 403473741; 21316931; 361194382; 626334121; 293965290; 200953792; 191589027; 519816374; 14409316; 195077225; 434177354; 123927718; 25479523; 528042380; 534458077; 709332739; 17083251; 566724576; 922556599; 467543962; 664494457; 224512911; 193588339; 862743355; 509252835; 757284486; 614715254; 762242728; 798887523; 212068363; 592047105; 105429681; 470234896; 729511132; 389940435; 968130120; 41745200; 563614542; 879980076; 882784328; 740348697; 59863785; 106920246; 577894037; 710898819; 810444706; 974618264; 879450069; 130892177; 687273038; 709679692; 660944408; 44212594; 435615182; 775495933; 966624627; 624082300; 811819362; 627726253; 429746873; 864451226; 634390303; 499078261; 616173946; 317117873; 302026673; 489799326; 97486109; 41749155; 466727621; 739763990; 825014142; 247920673; 349357924; 390855892; 712376595; 796384612; 948457471; 892966168; 91611643; 183427654; 992399948; 475838680; 796718928; 203254070; 138285398; 712964673; 710900438; 683245971; 217544523; 494204029; 523491646; 365936435; 390678729; 175659471; 598028999; 946804520; 167407918; 828212457; 889379779; 763684710; 44853734; 209917686; 773541949; 983267772; 205394091; 151754236; 421011463; 48050534; 392679555; 402448240; 542527478; 557490328; 440992980; 519248858; 554591511; 490277180; 321447571; 753975946; 940098233; 702304214; 469224538; 571584890; 830001345; 340597497; 833660983; 145944146; 98649480; 581693045; 489117661; 78261234; 88303801; 88076833; 658227111; 243810461; 589368679; 422463915; 407048880; 990078158; 1646385; 253273316; 80974863; 514338923; 70643149; 643013849; 198891153; 126421904; 267759077; 429547306; 126751279; 700146498; 595945573; 79173284; 969485957; 702008961; 512279452; 139737947; 995651721; 788582655; 350590670; 188647053; 295101987; 659640538; 97207258; 724453757; 688599603; 778370217; 67675145; 707993786; 894194755; 35279586; 580741419; 122275162; 495543500; 117789606; 496522580; 676243912; 988881512; 478328282; 196868932; 572749147; 458238947; 443168126; 519002909; 466675952; 998341141; 27807170; 702468369; 360746645; 568104502; 760960293; 893708519; 644392678; 926039664; 817828210; 433483952; 659211466; 165815258; 451241196; 551671955; 663583853; 775688888; 306124507; 91477673; 932069128; 92557221; 844425285; 542397909; 476321511; 793066397; 974558804; 833754985; 316402601; 356056253; 889383946; 864279698; 874457965; 85741837; 442977616; 22126986; 610723398; 798958191; 212712326; 554951671; 257351201; 529289970; 629422022; 459108872; 95780072; 986045896; 335558232; 389606020; 266574428; 983302608; 417804034; 492659581; 399077530; 314147085; 438022693; 477378573; 162579894; 326893321; 763922397; 67822164; 885168603; 566293141; 961841049; 970225136; 372621033; 781904016; 677600894; 590906467; 909602624; 227026146; 163129135; 548368385; 839867899; 959878516; 56812694; 138753574; 734134752; 37323853; 501757647; 842737560; 748492885; 389505751; 354847280; 849755280; 19451867; 123916754; 525166027; 654188105; 978183096; 351093150; 972970582; 621338780; 798794178; 572905848; 803209951; 845301812; 766737732; 389226624; 846689398; 413625069; 490586639; 631586826; 378589688; 836557811; 298154316; 31550638; 575857436; 884666977; 338329041; 666289992; 845821941; 672345682; 498434266; 485997262; 316901288; 362517089; 858639832; 568635741; 9090826; 828720586; 464542139; 819450928; 845756338; 139284947; 822868503; 927587461; 768173705; 686644380; 553145604; 987085641; 712869100; 437206790; 554208782; 216837812; 550494128; 218573020; 994172585; 197382209; 846614905; 844381101; 495973807; 923473273; 770064470; 474553276; 582607329; 928170141; 198273723; 267529348; 162448742; 602663051; 887820245; 894542273; 143165078; 222754070; 270134085; 369397216; 383752744; 923638922; 833746924; 464643367; 939053018; 625039551; 138250407; 684754564; 653888083; 77584811; 153381605; 267764306; 55548030; 670665762; 713113377; 250746560; 796781822; 574872096; 137396558; 97992218; 643567908; 769303843; 238318228; 885306077; 344078609; 455908651; 481375148; 390467196; 756403596; 250543363; 254106239; 305312370; 697823345; 185632939; 303466665; 520706244; 305341095; 724350281; 330350566; 694065866; 566795840; 348183995; 973341959; 16460408; 946195946; 726690204; 233492455; 624485263; 190103870; 898798914; 198358000; 115599517; 397641714; 828132695; 411507287; 63544983; 742148282; 30747595; 416763103; 17061113; 257557708; 186461406; 4381305; 644934287; 510791642; 797186850; 812005925; 696888993; 414092524; 180144570; 775829679; 472129826; 164432295; 124786350; 821282266; 136591359; 759397016; 797603163; 538060212; 152939272; 798360892; 457545364; 371090318; 877856063; 650137909; 267614336; 910958341; 137198102; 127223669; 865663889; 463612153; 722878747; 416860024; 740218237; 328572624; 471695065; 809298608; 234445342; 494969084; 937480286; 109402336; 508398900; 550558476; 514396704; 63571165; 310028486; 608824330; 101996740; 239543383; 561300118; 760193553; 952610873; 769173707; 921348646; 685616635; 559924838; 367054628; 213039820; 239553880; 155826009; 405177463; 892816871; 165333212; 861353313; 193064920; 513180677; 856568067; 745043189; 258049110; 381746855; 511605606; 900978508; 834569510; 421154462; 161473798; 929148617; 90201051; 551338129; 27633110; 732930346; 567842006; 298074047; 1061767; 630751244; 202262528; 694784735; 337164707; 886779822; 102165902; 247984353; 683751371; 17868734; 66707208; 911196892; 974790711; 467095017; 463151314; 735745658; 123272806; 66558913; 954851456; 350711835; 689025441; 728753691; 917114605; 907930175; 794367978; 696555265; 653040327; 906160420; 671969; 360875573; 920652157; 211872763; 567621380; 103294387; 295031015; 674135555; 853107515; 791207260; 841335217; 433337896; 493999494; 917674277; 102757610; 984274533; 285666066; 730585897; 868368289; 743806716; 412141593; 80202822; 2894317; 212704744; 649931404; 255365633; 313685806; 57933498; 751608290; 478281542; 654923284; 950451286; 692620740; 596616388; 160419153; 46210776; 188926596; 964312106; 143496799; 220148206; 620414542; 636565605; 198643734; 241261660; 21423809; 955518731; 982878300; 256641267; 277847645; 781043200; 188913749; 963564460; 72169654; 288319234; 453077058; 294041022; 486306069; 862077662; 582894124; 469603475; 372667901; 795305584; 883613340; 888285083; 744274749; 230977391; 394997360; 584484381; 111381748; 326008895; 934960997; 410164758; 387971230; 379021857; 89999435; 932886172; 850820290; 98082169; 482434330; 731406663; 80051257; 235153814; 551501099; 332408719; 460504015; 757752949; 315714874; 514811747; 770188234; 337533536; 918171607; 849308811; 962738467; 79384221; 525260160; 152481736; 449726429; 197314406; 729327155; 912930763; 964585211; 959032990; 388299826; 837934198; 73094022; 86580961; 712637327; 337805083; 74470135; 282166411; 500303093; 202276840; 422866592; 462574912; 895787247; 172947364; 266965779; 133405502; 452639847; 530245110; 495993423; 711736866; 430833794; 344794436; 778557454; 236165920; 296516385; 928083184; 721813371; 626895607; 334164694; 757739740; 76926176; 991331464; 450533354; 601875907; 587611810; 578297095; 282886288; 992919626; 17055335; 435660600; 841076708; 900875499; 615910406; 905587496; 20607533; 744540748; 396195846; 198834249; 339249619; 924658827; 397500918; 972423757; 703444685; 382701100; 859700130; 487786229; 872686668; 416271639; 151574597; 717666364; 607258443; 192804477; 111339181; 709842838; 59855303; 119634771; 221165364; 741157331; 553124437; 769473048; 36283976; 754532711; 316554063; 612759022; 364676254; 952562009; 659775602; 594203749; 216948367; 895494634; 49958794; 880355483; 655447460; 33189964; 531341583; 47018871; 808704953; 332814977; 64930670; 268305305; 104414182; 394472951; 369342489; 508366358; 91994217; 736286325; 413432634; 56421862; 924155515; 871671908; 610408886; 809497240; 151925139; 156884821; 69211297; 717002155; 264498705; 811653080; 295444967; 872828141; 772742151; 2910625; 888805674; 940999907; 139491555; 805927478; 919907330; 574867984; 723666476; 259617368; 211003894; 814240874; 390931485; 225288853; 382652870; 902921942; 180436558; 775491531; 836499188; 794889727; 148307509; 743133254; 943530540; 673922848; 296438452; 921465662; 690898376; 941480058; 178485806; 24988052; 41105869; 566754804; 263921946; 117178904; 268360622; 998806275; 56929072; 17814973; 800348333; 390747312; 158210081; 169622296; 839333568; 391427233; 568298410; 512771163; 6333082; 662796781; 688238601; 152014612; 577838084; 32606580; 65628863; 594178982; 489494432; 777780790; 794114241; 637476519; 463183641; 980617724; 590345065; 96063030; 972079773; 299720498; 5947571; 882637955; 480118213; 454519875; 781375564; 450705388; 394333747; 914562362; 158195536; 53375101; 154000616; 705878779; 961408382; 15632383; 886323930; 102313130; 460533131; 84552090; 727327845; 296900214; 547541480; 441032744; 668576080; 182563663; 885540950; 813397672; 706980309; 932364125; 481102131; 805772216; 785175579; 233764608; 83790441; 741292334; 135692340; 463074050; 444629406; 418755944; 974950203; 482567032; 280357469; 343538375; 761359174; 226518203; 231881262; 499679633; 108103116; 468336777; 486045075; 397679194; 269300791; 817146553; 720667336; 673511261; 583468462; 371033467; 896974405; 445142947; 665599231; 547893885; 379383735; 50065911; 736135676; 955318528; 445399543; 96709177; 315582246; 707721876; 413582734; 276204150; 168041196; 317484854; 688147993; 426522346; 685888134; 326492050; 355362028; 140993932; 229407599; 828694266; 815370575; 198776499; 33615986; 443816851; 390899006; 341787982; 8619930; 188170422; 788267709; 771804672; 994544201; 128082287; 286070813; 34746808; 997596079; 910233063; 338130218; 54153119; 484192666; 531752610; 529787106; 281815334; 19622006; 983208319; 390728415; 949600968; 565254116; 947056289; 192627962; 679798517; 892485443; 359712490; 973679665; 85091031; 856757172; 961031659; 546766553; 686316518; 439984944; 218706028; 911397368; 260540520; 330397271; 890384500; 66171949; 558784781; 956412660; 674835188; 319607901; 965521925; 998987708; 586013621; 883377831; 286909577; 213260217; 486323908; 188960244; 63815362; 542384865; 474142085; 856411791; 397136228; 24630246; 66583431; 321205559; 276337667; 926031342; 67256766; 162607461; 975309678; 337990656; 971663879; 963880255; 527931718; 107448285; 862164120; 485420821; 498184932; 329430212; 506005578; 226605309; 990684303; 197156963; 600110734; 139011527; 882391905; 932559910; 681284484; 964627503; 786920815; 332881913; 653270238; 760650532; 451306042; 272187923; 21941107; 631982892; 648867886; 812644549; 441579689; 547202413; 801881283; 910528597; 489667908; 271762765; 150412289; 352857974; 69728686; 754271998; 33012629; 638060805; 881490999; 564982984; 784912553; 467860359; 851650436; 756894983; 145355806; 445821172; 559871909; 207055706; 909071422; 483304288; 712896515; 737886345; 310878070; 519491242; 622683601; 36072199; 966379128; 909956258; 193312624; 947985441; 598636237; 378499003; 612612633; 364262151; 568070387; 348109005; 763433617; 617876187; 804931332; 93795279; 422138047; 864439232; 617060142; 168934003; 839528052; 689295804; 619629266; 71533724; 221128224; 55517596; 152521769; 651069803; 72130098; 484446624; 523105504; 922383299; 784839316; 616070091; 188683647; 508264634; 553522608; 331571129; 428219380; 517121904; 450123087; 778073195; 978229342; 60746178; 847353292; 335736934; 858032328; 490854259; 823395619; 39470445; 237959695; 911597306; 343791770; 624599490; 304869348; 886099067; 989967748; 907556134; 243094930; 396906672; 93376627; 987734109; 651490166; 662316069; 914084805; 562757970; 942284017; 950512074; 888011331; 470368951; 150312256; 232758642; 254627966; 967857221; 706896740; 459409863; 332347746; 512287938; 760035301; 364776562; 694333266; 507137931; 742656128; 612430431; 352795536; 622907655; 695419941; 565110511; 663636147; 723143820; 717213617; 218478822; 720022337; 937529862; 780770012; 473435823; 154749909; 431310644; 501085449; 203969105; 427353285; 844437744; 743299363; 201509207; 322504359; 813086507; 222867930; 930882769; 70735391; 533865755; 668408365; 361384871; 828176481; 8591962; 206749836; 555037000; 680646693; 721042082; 443522281; 216478942; 242086189; 160837557; 14178399; 803102443; 730102881; 445089362]) + + + (* Grouping test cases *) + let suite = "Test Suite for continuousSubarrays" >::: [ + + "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/continuous_subarrays/scala_tests/MySuite.scala b/continuous_subarrays/scala_tests/MySuite.scala new file mode 100644 index 0000000000000000000000000000000000000000..b1dcb47e5362b6c425b038f68fcb66e5e5985609 --- /dev/null +++ b/continuous_subarrays/scala_tests/MySuite.scala @@ -0,0 +1,32 @@ + +class MySuite extends munit.FunSuite { + + test("test1") { + assertEquals(Main.continuousSubarrays(List(5,4,2,4)), 8) + } + + test("test2") { + assertEquals(Main.continuousSubarrays(List(1,2,3)), 6) + } + + test("test3") { + assertEquals(Main.continuousSubarrays(415902931,343918193,266220156,251496706,916594909,183487908,819573683,410909122,643194414,542676937,741361623,663328036,45885574,599661110,732324972,589920561,212123225,426626601,807144564,694302537,772834813,789341879,392314988,552007717,263515005,391851564,564745148,139830474,689551940,165378192,321798758,251764230,991334235,455498208,876688063,215275076,108543552,182735520,746496562,176279307,397900236,980928708,345715919,739154585,997386296,31023045,222116835,696596571,13334236,105144317,892424821,880810494,458810796,731577998,56097675,350216705,158484779,258345418,316801452,954710160,978449971,398444692,594275240,970744182,962445729,223212988,94925571,889775911,294377878,667486657,396086192,901351444,76539600,279516041,867398776,310138459,904219404,548448102,981365777,320181554,372267031,666373363,206976135,946980399,57950865,651010321,404777463,765177493,398996379,486642989,896382232,82044705,634153953,204420548,81201212,782193870,359964206,507217952,698119207,239188305,205081346,558756534,684411477,305146010,35717138,817373709,572024012,817729927,163305744,596313192,470326851,276051153,927905239,747934607,406480377,443170362,306728982,961927303,665406848,849498963,666404594,89932725,110023860,623536733,804489569,337429056,27941402,911436544,820114609,735724962,849542104,970410031,824695979,612989017,228198781,163671669,425047327,733258319,175676043,235542330,635435810,111609030,748803563,216347518,690435317,348292694,192410068,756518625,141133842,895277409,423412464,982930597,951557454,450477299,377496863,517720039,535768354,168937136,698585749,48994540,981597766,449925297,426565962,59344853,372583531,135430136,500904538,365822648,612100021,118903581,372615514,498626430,141267371,586331432,605465237,387101865,773812695,44337623,500160290,926248803,539819333,37656570,949653760,818851998,648245026,374331139,981894497,903376118,380876813,117255510,90479634,461922021,733796555,775917412,663608923,916628077,598712843,926608942,340312690,614996364,485920670,763269902,222557106,720760553,659147595,798312082,653358631,431722794,874054726,540310355,700299066,124649589,479420597,74118813,625057465,450014467,808583398,666844052,669409336,172823296,15052321,589243485,972321292,216810258,145194116,58657973,879739883,516664462,201639713,547169435,409245973,361577765,813347465,469742829,267107686,108123445,707331600,727328589,158875624,387372819,545756407,495169015,916966998,76851608,159552681,620094824,88424962,567795392,584383377,699887772,543563486,636205583,935426129,751767135,977879847,240199148,535654032,82285700,382886394,708611150,252892534,51695558,543309343,887453022,787203849,230828377,877631359,564224902,847641766,259416389,122910781,819435044,367118408,43350399,719347191,543652343,382337780,69323814,166711995,278657005,438130251,242251507,173125262,143778166,748412300,161845701,404818465,631928486,904417072,134001332,971231479,364485339,167348442,776007602,425715015,100769149,304539230,303357812,587295883,358963447,967471207,148562585,388835795,45826475,334158277,876319935,629143648,424816940,659259782,752361212,431337393,445267894,398390358,665687065,205928369,953084298,138321091,771947051,346275978,560808132,288186377,760170616,50086999,436606484,858979244,394007143,612374509,665890061,159186635,244066046,711577310,981120278,787759585,530186071,722324102,680279425,971230274,822541505,123414448,274564380,471408428,601789956,885465084,57027470,570865181,979046542,180027116,460014818,985024417,560074008,381781773,473390163,525110423,475707615,126679862,514656123,95605997,67775680,301098014,264024852,926381537,473311241,108705898,500084279,516676800,778974925,553024639,555337372,485450061,104179915,803004275,184407279,235526325,371294052,223093969,655591449,459926030,530201851,642145772,525023518,468809826,874923671,501587638,677137377,950827993,480428390,363995121,155292808,923762237,757371572,88947379,694894144,243376480,729389169,392027665,653904713,813539533,862793901,654334365,931369696,68302198,559183607,665541995,221591357,762741076,159857055,871227047,499415051,486039621,159431606,11778775,632909231,787866621,990429816,912217229,239241297,503344535,60105056,465265818,551428341,131087483,199786217,63134374,323486675,491542166,758614678,357311342,572343650,218913868,564501740,322199933,438790300,225531396,198062739,384893895,441912825,175638373,277513619,91317600,148289971,597198109,205305918,249361347,662630540,65558320,168764773,549188770,643419810,876225308,606985887,273898099,375519918,653568634,265557482,326560752,309328679,14302393,569914931,135218898,516235740,400077968,721441250,476512682,483941521,404162131,393365293,11449542,879912141,262942089,945331120,854311826,340673963,896206661,963141047,370096397,301784532,593329434,852363231,711714698,787822287,434337915,152493368,132734514,388228301,709145968,726983239,523139762,768797466,741788982,752029251,684075679,958927940,577639504,944217021,599841786,707840487,248977856,594454445,900709692,467976351,399766897,379150375,607917522,408334398,854129910,619887569,807290715,320707811,549330623,437307127,833667633,943075445,145485948,81449846,928745062,781275911,37515882,950948526,925455693,67662739,762077401,126687793,299297581,720002928,427858529,403527296,982673616,806118267,39181325,81126914,701223925,527054232,477357094,594426372,179751606,324394627,597846435,977707861,746832057,217609570,254370142,117410536,618146951,881763355,823970630,268544114,200897891,443180476,393233634,32912048,263885175,26709958,912919408,814596187,596847315,140510290,867848251,814987943,475312984,885538269,853418525,130739000,280308826,602266456,938792077,308991245,869648497,621946378,943797994,179675240,110117178,41430879,385218589,212131683,369930198,38140291,316668078,624460174,940497197,454608013,833389785,342236403,181055820,493301053,80215646,659127078,45340872,210618389,696552416,837934125,342997290,853071954,734877215,917544854,852499446,254114464,973800383,811815065,108099828,990819965,463543612,530888483,96638612,411579764,934331239,520287528,37805397,921106884,640426059,416280003,912937942,223176476,774291540,814531692,791424121,359216579,111950214,366505788,988563424,295247481,110137226,156294890,419560002,408577301,313586169,550357513,876308477,437205835,79377204,325471745,12588973,114081620,383433022,834937520,409231311,825526602,368046298,400032468,393909536,101946552,540132651,379797928,890731502,857575093,791295460,489939814,89323658,402991123,427021515,709457270,41336560,938137497,301887951,165545221,362383210,810879792,636549198,489341040,823131648,915984233,303781349,479498612,385001542,541693676,573558863,510891225,444028533,889454313,540363646,928270717,88745581,35929672,488807567,447994293,155494206,698751037,298450577,548885397,255135343,667981461,989740351,20515178,401874407,987571033,726500474,571041455,84540112,31360380,310260296,776215999,198961617,417963939,144956746,628473133,772183586,956822830,999096513,43685273,188445688,654342728,589270791,19297632,641302262,188550051,977227750,404037387,169012380,708262880,764890124,855467928,585262432,314138860,366288161,776621414,317399983,844938538,843064638,51350869,375136826,368803587,256849950,919061180,637721104,686429659,400201974,594623130,733324199,119938777,893355661,261240180,943725233,85372073,25991337,109468766,972467970,866350374,133906251,447989266,334794415,256900901,905952094,117812741,220933019,522344545,615336554,26921928,737757611,644777445,319778814,195153693,56688377,912675542,607989150,359941448,426924141,198326046,521793884,610626797,899273984,551956070,860233591,514946423,14750699,786155699,973917161,494080151,649919430,26479127,905060380,418727474,297174942,846276599,327938165,541235879,480941781,90636134,212672689,904218174,143551685,548377510,343960900,33212668,863546682,114065982,999189930,85082454,918982387,656568206,45636337,969080868,217059411,250798351,784408324,884424341,783340188,315343412,193563098,659735953,121066460,650016257,998679653,383191728,612291913,536058969,281559985,446460923,420342884,979485752,695888234,485554056,800927383,585717697,599539894,917876401,425935333,802314797,261121982,585796198,734136831,782391497,521669383,691406502,372666024,56537220,489598454,181815522,582336535,837892317,490755172,558334744,773718272,384994013,984251427,984679836,44396218,710244085,205938018,125441107,249899049,980373875,548349804,415091238,981065993,610621714,93111988,653339519,890019947,789187318,318823886,614224585,633385937,925582926,864844172,7868899,742202417,545800947,561876572,875578320,921195004,931366309,931275275,788099939,417768958,299851617,836067526,790105584,39692929,616382255,98140074,687177418,761967952,772748537,275315241,118206894,619824781,252652477,794173579,186382068,10723234,187088429,414963981,57333333,874954463,412518961,156763648,670778434,340118276,593541945,888702329,829245261,768173067,495261498,599363134,442116198,209548962,157114328,191145118,273520023,521543459,460745407,804019667,669709185,919926155,496766140,394107609,513190794,205409200,290347936,785662769,280470876,600661780,714026288,114555845,800388235,227407620,985616086,153380624,431848248,618835904,466713604,524410020,162629189,556422154,123282528,237265904,728600549,453960639,946996998,126725530,258892519,655632965,411844729,625879106,899717627,321193051,284821106,59134746,208723990,406193397,64899581,277501112,349323520,987418542,560639320,141917865,390260102,101455033,138984464,498012351,982652185,611842758,632314569,283311835,949015010,760547535,953130687,550659892,929877931,359473421,672262007,137651174,474010919,867041306,770508769,204424287,990063011,173170699,394339916,743592053,692012165,550116076,777700405,816860400,967099490,53486911,694106671,198151680,312070798,792301040,352617740,359823999,633304835,241725097,169276529,945998733,618684063,198166443,816803088,283080272,617690904,576492605,578188824,209324202,276420259,841043145,832328682,94544538,118719179,472245613,339503332,175011231,489384553,380019973,358751815,529196253,238794070,607676745,814855859,355917580,996980214,500731470,200577529,260006012,26657560,991919687,294784898,736175780,219525471,637569872,138966025,189965450,867559998,724256132,569587683,175695635,684850772,298291560,812231200,899045283,810970786,286761376,383402950,458407692,930299966,398095497,847480246,431422509,566428017,791425006,130818957,684618461,968607979,618042115,295303881,454510298,563179362,28870578,194820456,568782832,682979358,855258783,78583497,120494735,772468593,227204808,526472013,884349547,952231280,931281800,467267741,653091425,142902506,631515518,253553048,338079384,627550829,76932888,943051586,126635481,500954344,801682612,979997221,643283433,13698932,28660680,441726112,246449766,599087994,287026219,689661734,397333955,949483901,151018152,130670962,582993010,467929741,990458999,528218405,24211219,886495033,344673256,192842794,491298802,302058888,502537110,988015671,491420042,680424891,618826640,226642954,927551037,998683274,892575330,100849562,140635788,50012733,341035251,852459121,108464795,353575354,180152314,635450499,89918449,582578237,318984094,628506862,329546412,611824016,868686128,245684142,867652842,476617049,560305432,628271533,940401454,716513579,473252054,792790347,89034853,455673819,448349076,991271869,327105550,602993663,910781760,245948404,181902160,893509760,802439559,972008647,574300880,849416383,479694826,213468710,686417796,12131605,759141647,673343680,929768719,398677744,230171887,536229341,502697225,8621351,444608161,954505555,320444496,763608538,541152835,754093180,348261790,731870876,297215714,513582291,33685032,945308068,214179253,722307252,494532577,342070717,549271982,678121432,174626782,273911249,198443744,176441839,578572123,283499836,948559193,820007248,777345593,146463876,794239644,411276076,198687112,369380238,234625304,614278361,568577000,929861978,279832732,833998916,887232649,163297983,906687402,221457235,8196848,623931127,812420368,606172951,290113567,283129979,597980013,36242679,903081199,26738657,41378097,662575437,741675378,889829968,288350116,705852682,226311698,170109999,660407202,56075760,43814766,827412657,376765311,661831955,281993556,160051272,319774360,151301347,184069574,982240264,784741467,244750084,618309713,564069246,307846258,700893594,106386154,941471149,464414105,778073539,769283539,3763418,580817187,437744161,151350776,309962724,557210490,191442566,553664640,35241531,244878978,581571292,922390607,100939814,232335133,229638070,412208733,146578803,913949773,14029973,730579429,520278699,729811993,545322699,440166877,582515703,565588988,130618091,372864829,232394494,348115471,506460365,599819717,135669236,603693565,786042117,111167478,265267581,42618303,8284606,233792584,866084623,49927977,911140656,449105107,643123591,687395818,532818270,689787965,790340589,755500740,48818335,196865366,413225471,396125602,118780422,942775087,595993221,850156181,542511697,959505827,668010806,446265171,731612981,621407556,351925506,652542430,450549982,899159930,40275843,719902455,916579810,48003508,185006249,545000289,508807244,492022468,215760334,847561596,257239832,307116450,6635172,964773198,529186330,840943613,768013422,619013824,505897222,766105844,841605557,484130869,233569649,916450692,376755377,479426177,700999389,53907425,597054039,215568397,620654148,446264637,22768052,134699762,740678283,700172819,523754930,294118369,628362335,392483255,131631585,85480732,305983558,809282938,513706258,303391000,446476712,776161599,915611511,201467652,143115152,626091712,112487937,952711908,172869051,451301594,362766179,242973290,393353834,42778944,654637361,777266430,632176682,990433001,713784885,263688680,284520555,737811258,224396004,197808097,341480987,881277109,975537957,544704402,78626213,100125785,131586059,979527441,623791799,228831939,974705152,368335886,202810047,869593497,643604524,696160398,891428634,164292548,898212469,111586326,859013929,696000410,318421120,898674055,497806398,814066756,834522674,357888468,816841562,211728407,702680887,874222899,238700034,421065613,54581,681152962,876568723,285497070,329623789,75975532,920867244,251148866,681414139,957853167,244914221,752228579,279339488,749666579,388249400,4801154,78712371,354388024,242310714,735109332,935100651,795591037,633980401,329092036,282510854,440041810,705635003,936183632,256236473,578547139,161836620,940234184,398847610,33611306,965471222,381623886,955201404,259720576,939499629,643399769,164048277,304481041,400817342,594069941,95186122,657805226,629679545,836358435,881607500,120267799,171431270,696611255,646038085,424259836,109764682,542153748,93789679,724228038,705852733,217642123,446402304,491951158,980474347,708377586,842372511,976882548,432496085,267659998,822594553,130916915,5134118,356509195,263898477,110999291,297873854,355324409,163011428,559408446,99435658,78131107,231995598,815207977,897258097,839188204,784000383,159108332,696359633,50932674,110776450,466407712,952209160,828860074,47546523,891243967,252519533,164877954,381444813,491867704,791304451,17331092,964255464,668213815,871275306,873264764,593039755,187112222,343064180,542773845,264582860,660393043,647601005,776194456,896998029,989291709,113474139,88662129,769505031,482152702,833393927,355844506,894417858,292492921,87604666,902012321,586207225,501646501,981754779,502288558,877379895,706413168,576148970,410578235,20945747,989181350,17602072,683196311,188584409,131982612,978220697,306486586,759703963,144768016,365980024,65320353,799275979,92406049,998675190,338575038,920898466,53836609,968526252,853152894,789501549,414800251,771545069,23458685,639828234,500157268,856064389,316425486,740406692,200040871,83306361,536199447,262281238,267492277,855876600,372826863,921586054,962690980,332166512,846311021,208139679,968877624,900835663,526083887,936151061,58566586,865214042,189345854,42569812,962868930,905358820,701685172,447789891,902949797,415618356,282859584,650268084,8580589,411700698,666725777,668158529,104897449,896537086,488498362,768907014,807105438,356068079,385921172,60483201,174599726,697904490,626152102,625759667,945859656,933388664,566902118,530910643,535038847,535951233,758715057,672129773,898138443,46515879,180988489,713885754,409614037,904997139,622838313,361280318,139586565,805605129,41162927,841603864,112220197,986753209,960244374,728915396,474392390,426945710,634225484,964830741,429334280,97755248,106752260,852793020,976235925,295065926,825804272,415663815,431893425,636849261,727164446,598380132,345053103,455043602,775522277,321665020,742300155,169443938,488823775,203696483,75850661,392404870,591138159,349384546,387939524,11825507,930571331,426634776,680474276,59946238,201287729,292570,894720462,345091225,995739924,746161431,912848934,557137626,196809404,835035144,35619532,974242760,592392653,863278427,19959589,286505553,959675261,715976838,182025071,620280942,450656400,638674780,80528605,530312303,4128717,409664605,796178829,414779144,6030155,761645867,35248316,964474520,910906170,268552509,998034551,884625023,3009414,342066015,340353639,161064763,994890192,166831059,621435399,625304861,518291640,557128863,446249797,57288599,152426741,348092660,787332614,809693333,511269214,351901108,944629385,875581607,592461905,121901661,760211342,639602791,959313310,929319598,487022892,603282233,894982964,770683677,628888089,759460265,135638920,121279303,428917572,930555972,21832857,712376596,721944545,586357821,594600467,774164215,649113424,2414758,232212123,3944493,467426076,521470628,995071724,512231976,684765594,247706270,300585372,191150210,449348711,986573883,861011457,215489592,25705599,354527756,900779411,958352047,602167790,989148488,756985814,220859629,19092827,350932159,281875443,545206440,12865966,259580504,432160769,121654297,264983790,501681741,917960333,848601766,163753074,384446515,630146161,211261683,264531719,964161482,394331624,863397641,754018903,21223153,892687164,541096705,887768692,24463639,586500507,637641921,708831194,656192636,655836254,651099107,307302717,812817593,71808166,961531667,481937901,446164337,752855343,371967589,973987233,354413351,522229860,902204682,767069940,965870175,966880049,407881245,780805914,674811574,91140507,994188165,732896392,891802091,158572499,857223349,287637819,986750608,623374724,376166470,950447278,904412069,840955386,401040676,30513266,968937242,953271139,375372042,550583618,562196031,11916909,321064846,562063521,659899177,855458794,97125243,183133820,625483434,149876836,892305894,698214810,670574053,759144613,860249775,799085495,511329745,683228791,798773339,985665847,486195449,35760099,457314137,432876689,128661931,566801794,8669810,489015798,432577431,967334461,988562663,428296866,253609377,626285956,63799772,91401723,713874260,27688639,532659291,253804246,320566373,481349217,774296015,205418279,668154756,686663195,160111065,702289077,384849788,554419790,10665826,907933946,77613660,572559725,502014564,557192130,141557761,709364920,517389599,814216513,447442480,506846217,870221089,125197552,150325807,262592179,506511418,135061498,477280673,740807876,273773181,642724083,314114600,593756644,90991288,853624163,294179489,448501554,665893775,467779444,718626157,404790335,987039675,708486901,970122582,101432605,509356055,501575755,2563587,236884014,908163194,115523961,19307673,842130071,453858342,947561791,656503425,790588642,706334271,215151268,21285842,416751109,985340660,310289405,653431282,501585611,274181187,899423229,748337790,157178486,500493615,270986535,900485172,653911191,320367950,931052248,201170969,554894802,26300819,777947238,498368070,200020178,536502490,82201567,594930838,997168827,977877337,517137844,833697582,180074720,690381186,745339479,364247996,865682377,514915225,179906767,532890384,304094368,248612046,294792219,833121134,550428759,305328370,701982542,301052734,43851237,307291628,973874210,918700840,346348197,796604574,460052835,893496414,505179361,780071430,402878401,171469672,942128267,377639456,253858839,830942035,964214713,458806493,473632631,981081405,922642864,295549351,678430230,914102422,509611926,673829145,627984628,635600513,709754968,290786731,989744342,950365514,766903751,875964010,247747342,192108339,308274524,182263423,562107454,141241451,156198738,425937800,224086285,914288065,404610570,851852936,512910205,43222368,878034169,138243509,938038233,410478860,270819312,264971617,521702342,508265327,584474265,681247831,984288181,172974387,272581074,1353079,805427009,484659550,266372693,633505277,536132958,304533156,948486152,683118565,764604085,805185808,470262646,468260655,475248120,287633800,468533733,258984448,459073886,706767891,236223445,175585499,764874224,942725468,562574909,605406847,887007795,685272206,423120220,137422838,492249852,854647241,198869029,522582948,659430846,917506212,400306500,221109888,341616335,360738075,194576435,169001618,531509871,250853688,324980221,456714738,588019672,495029531,845713805,168510951,978648511,500666992,935600802,762702298,341328805,891673763,301395736,264730296,18515792,484386422,84127533,945270089,640392530,33969145,66348030,204224550,102584800,941044349,131168486,862882976,626330819,459187126,595521113,639637110,173520802,602440711,464637515,143350828,574873994,220125693,613920077,823042421,961302344,793300569,899578075,476509459,323880712,683293263,202808518,585403016,326329579,506019079,518710214,582497911,31641984,920877767,888450444,18279944,48845127,388522338,156375295,685914448,858397861,655355569,80582599,191712976,164309889,142186957,943803451,663914691,646457243,970009725,354737149,417271195,560883913,849007805,838228256,149440714,300893149,59920171,930281672,772235928,242922802,748561393,505300356,129374686,176169178,314148666,739272254,504761119,916198290,653125549,558384527,519094754,258306202,114719999,659808559,8954796,645212490,790321989,158432393,181222855,582573524,347402695,699753381,442359487,359750256,508747627,398594543,870387256,963415522,724574928,653436174,414480107,721490191,889185828,906219250,568782816,537589789,716532175,546722697,777643945,852130035,468860539,7136281,170526545,885543856,82783488,960449022,836992151,514040329,829975974,318417595,641513350,302678673,59545782,42738923,774542038,905581919,419940574,675426138,989452754,385822280,23332060,503843889,739527422,505868863,699260049,188052797,14161944,196425888,974356665,123482602,108328254,87491,209036214,587899317,960678588,409254501,165524498,875497777,419471823,384892271,238034757,563228577,235429391,176675284,241532658,19271968,655004281,667824195,910879418,256305800,161519927,396332921,169550176,552596823,369756125,141390563,30165568,980367986,159807501,788538051,24076561,926637406,961751216,324039683,561135398,656064151,897044598,600511976,454395708,205200052,423051082,395475821,845123549,754290907,648933244,158288834,814191034,130171591,195892347,168525314,703382543,997089887,914834348,40712576,427385412,732430090,356998681,55673321,524723219,663416841,564219561,564840225,79696385,556073553,707208933,904866516,280555765,818083286,991137230,824498864,688568314,170313710,515672966,159115569,368665922,781463703,308637530,851713997,31192882,209788821,784732418,673355249,105154249,288939922,291972898,896421883,592236738,706378062,451867015,217051569,292049552,435396117,490839926,779589312,46507405,365809494,852138828,332718164,264344949,907713277,902999529,340981875,992573993,432887883,763008077,540261798,290691367,577532090,180110254,708922303,301164153,328183624,350475206,132326927,563926674,199917935,876860122,876944200,345798994,941988910,967920288,660162865,705579271,239829252,512245670,504420813,822998846,503533036,735456800,31553207,949425823,925406174,684600317,961678582,315635977,451562628,265510105,914414632,749077481,183981963,876324458,594709151,2415680,292759144,221872720,842964836,21108827,929370588,951935151,491465769,188984185,21789713,35819677,799353867,151215135,731521792,183685205,952687401,128692770,953799857,194612277,941157061,535039276,917931754,628618722,534010640,195685479,678036431,467654065,693847026,623920989,742239644,783326200,155021930,711597468,980106776,946672526,179347347,243721669,729943923,155539334,131500514,790593009,169118489,257009110,941886483,446374905,497385096,946380366,725922536,395095751,347493276,972709897,360229347,509544962,525716197,350361286,801728928,118222608,33113604,331217478,444729392,593230458,30719189,433945225,899385744,970325010,813441208,706390394,289831299,861526262,11998444,397164252,848342039,543245963,795138065,399173680,705074570,720739547,278453088,285185252,978351894,59235513,91750329,526182231,25717729,277883658,570883659,111504956,751345022,311887111,387426878,305247972,697111263,820019424,549168345,727937903,409448308,871266275,824153472,216373083,191211148,448842413,444892338,907140569,135480380,121359849,76328556,157574604,901204338,383863570,274362722,592825990,605671360,821281508,49809865,57744112,204234285,735643129,638923501,440086792,709316029,498926061,309698225,560778870,467769445,787278636,17572327,594392990,893293763,670029764,484477221,214091117,753398345,525451993,853262702,127000233,853471665,847719135,439661331,60562497,446341768,990186659,729298241,821428284,432415196,320514917,787195136,824530040,939554800,572021302,264844651,87550257,143559288,641214401,961704,271292539,546329987,759918532,824700895,657950775,376517340,136815401,590783699,299981013,889112214,622831227,647886225,945713028,556087155,201629127,703991759,49674453,950573617,920036148,934861798,559181277,176690109,56644415,723936341,40711908,842650839,437335441,312761762,45733749,702891371,592721051,779314059,755279408,707351199,995477445,35627566,275777431,651906209,707325827,314246581,366587832,436452577,385943554,244764218,196307856,749134716,448204136,672500824,875285195,988257381,501556942,425235210,251132430,212561451,363780744,779626108,474867596,438935631,671036210,642217212,808293878,651218474,595273753,471795150,991634381,623073862,714222408,712361641,104696774,138284603,64215301,584356429,767079497,538805848,756678304,631660685,751535754,277929961,196101126,540771616,921335378,575394998,626149682,29831438,528530805,688473265,65373099,393867352,719021064,933636066,278215282,793601014,207154299,994201093,687435040,714420099,61542852,134559643,336167506,712632555,808916300,84174198,367113856,90690961,906283671,545347122,290794013,81473713,824921536,585082274,762958943,819865035,97716948,882138458,177039546,302292373,876255621,13656249,686378188,776733755,646303364,265037697,418882722,934621415,59455839,770993104,690374845,620860486,306800565,102638956,249114117,1361679,655571951,363732675,771313247,587541758,472950018,352561537,438972128,815825057,659185329,231460909,778161189,338383234,331073880,243888299,845474066,692722367,684926257,107259986,726046672,297000078,525324147,588737211,367206117,930221753,682655152,930229397,404293378,318364357,166218879,668737992,560275055,71067837,259370899,836904130,258163394,977687649,206948815,144271242,125593593,681725171,12730137,618231856,8053600,871570189,98121064,797963164,988867746,875466438,435963767,915037950,240452333,597690992,51257336,201397400,444915041,768969298,984183653,51104147,393013678,902940549,674031514,599027441,750508791,363746870,925920449,247735641,426063428,898000847,829983881,562285827,783447218,64299320,288735473,461458924,883758583,617924646,695380609,426529013,780856479,540668202,304055968,433442878,712210496,560521401,820321122,481086660,201463147,373752564,884526811,626075310,19089338,948867750,426303328,230835011,763132673,692611124,785798525,705531397,529357762,564879972,638215764,151733868,510779198,315740785,924116968,587219043,79446640,213890462,231617374,964891684,889791689,668640466,88550267,47048711,443436133,62733678,684990526,289513450,724123189,433652105,226738259,831821741,647409553,998982203,873852795,242194410,688438769,869360118,484237129,155625306,405586887,207615877,498835533,898959378,578215941,230344009,637230669,746545734,857648034,112222274,272179815,547745844,883604447,621742824,54555314,455834807,186728529,136949635,509063068,58899286,111694648,486509872,280536314,888338957,564037031,194273036,770959681,767353351,580785982,289136155,351758724,319853571,892756894,23988993,867831183,953150149,22164904,264858929,203518089,590008073,335875412,282954212,108700567,211439667,794484573,576085612,144725404,519497181,504422927,591893887,3425973,57504124,358897482,903470466,708298948,143835130,282858492,194083521,959758225,960257393,679072579,631313489,999537349,543878193,101215271,331641824,148813252,504390411,593966374,130352330,752807454,647101776,820029754,596217715,983282518,227345236,371080203,39045450,577253641,867539365,551223588,744180110,887942973,778989696,658344192,671216812,101931662,980573371,864688771,332148935,493406879,912643998,110067830,471796640,841582894,886229398,574154832,197682510,212953097,763492600,766751726,840345676,720958612,643531644,637509544,529331794,899771987,840641903,153724109,78385266,839140131,610645360,164629148,642749208,4421027,69807590,23360852,7020035,877177343,108416780,143386496,758121575,881384844,808508244,275046481,422103057,917292140,567288480,267152205,786655659,186847654,665848783,120604507,704446652,909240930,766275756,923307169,710809031,502746171,977398420,417918142,248303999,371910201,732799234,168416168,875418307,582348645,361637032,545559979,401642261,534123380,263497778,521433608,224845182,340703130,907360572,96185174,559034378,584161819,634989208,977895406,163334175,32301740,166986686,766896875,277741173,561001873,943679277,200736151,264145803,747836643,792980288,546009057,499732409,40715069,50695203,565799502,828652882,506868534,233381541,384550692,993152294,795961362,337284145,666587260,289816126,865918503,184638132,576476971,855766564,588908155,396128143,502396401,827906009,904161006,382384696,861715844,132742897,28024347,514334491,614845196,181999113,212267557,208005134,217249677,962224102,772558263,455268895,579124267,148065825,77777428,765597927,919213579,473532652,703363566,745429475,725888791,130863808,76317777,8437889,686004386,337404769,126267359,358003748,400393510,213467185,256601769,841775526,26665688,398269704,120445415,871095602,313473180,735577060,814897881,575936677,901658947,666598941,855209966,938541398,641652983,558279227,68416213,669858067,774856151,559025074,386415435,238206531,51581719,979897606,970094486,349945294,127827951,682965401,332498847,875467006,485962539,290592472,73213353,30420750,30994305,84277410,245847874,350635120,216732562,425032605,910795465,528276986,23436768,465001414,490505886,237810766,479041335,838368902,102583395,323441246,891864073,683806601,136608862,187436937,382450689,94924978,362251654,969652987,401558242,148807841,381861825,684119775,168347410,862425263,394537128,129602549,197847870,978137206,83817114,453898620,955855594,905276256,913200900,589482767,213136797,126106883,564645837,994350457,512970598,237933079,401004099,682008451,769178203,337849359,921681489,417898096,323839044,623823174,85723008,634068222,153318662,136744616,534625271,923798641,342620643,569799860,135289623,281933255,138921049,984712248,904251677,468017258,104435268,54467199,596535401,855806457,948255271,453634040,767376716,864304711,20895929,249203434,825573596,554395363,42363227,742590674,359287752,301161333,812112098,456346329,267269692,782975027,593850297,774286012,223156356,219999678,636023742,954353006,264700885,74592620,9306340,978875130,607013509,572794344,737590354,840018898,345948514,789047865,590810027,522150694,751470921,514333725,282410251,209692242,145746425,21696467,366057517,616715532,10417841,914078277,895144716,276778205,610426832,211457085,810541046,204825452,268969612,492814793,481710984,486257420,293018120,635094922,850147771,616242522,199004439,606207999,987778471,102343084,288918600,705064550,617382795,645185193,644183054,279972916,319226118,560948983,942375225,147172918,172981200,839474244,893903042,72761109,982514472,416665095,743892418,206139727,804809438,263497802,343237104,179378397,486746157,839942908,275217159,532092094,353897692,848255469,385506512,301839227,640979296,446511670,459279365,868955420,815026528,993110298,667834189,125797590,973267361,591835244,144406088,639364945,494750170,222999574,923995566,286716235,662902511,269082009,69968867,364116727,702367426,669263622,598757742,176660374,115892541,527588488,266123971,691785196,509634063,951518663,170071456,975194410,50622651,411512883,59670512,367652545,460068608,217584506,736213512,548359003,826829117,411004938,614944882,913024192,284329730,595368049,429886751,729973594,32152604,796303530,924245042,126752684,7576568,618616671,427149452,944720644,869613289,993652463,756624274,335458295,917416480,22087514,639889384,191755521,407910528,657353823,913130230,114044139,750872955,330146788,645420827,460095164,867425183,536744238,905903550,53026344,678730915,345580173,752823115,948346113,858452647,768253890,975913750,806033642,517887012,253572862,733835084,479393634,856753266,86549889,145988337,124512547,869625834,625218842,184703371,868299878,12127038,980280681,142925750,198201609,702181022,887150684,900888333,687973213,107868854,423695358,162376663,128647083,893492704,127624858,2237705,534380460,624884813,283406942,256226786,907060801,418055396,399633442,784165780,749779977,418559083,299348072,107750855,265471494,379201738,249284609,637562724,88886506,502024313,943292346,651542483,373803631,932440516,652257982,268479754,958516031,447813301,753396471,821791096,686529212,776584730,30838080,252875776,114630461,993470059,104045743,245573819,621700203,100000597,35405656,463482677,754876259,738876608,99301486,426620328,196980577,298423183,484982255,840507404,390064205,7516910,810682321,279064637,220520230,452273319,76657611,885431741,990023977,645344195,633702472,336463253,441053010,467175097,880764478,778467388,510579257,381848780,651388414,360255611,524323964,420676763,261321206,147830082,464845052,382651053,599404904,528131057,997545268,107825578,946379193,721486320,95698601,545426131,703343450,501727882,948923279,40889905,454114101,423876743,907342258,855496298,131051661,224213928,298280693,271473571,787717550,238303505,771113048,558740694,886495008,876193924,730651202,328057486,2570045,230239227,472616878,903704852,316239340,549306609,825012922,179050315,379029791,226700157,688619762,682127999,435172760,295337115,299740176,33091827,231368819,737662927,176981076,518578681,629760355,383403231,921001854,122745255,350841562,783406485,65044239,229063536,116669357,474162451,993863307,10591769,228725271,252229427,811243155,248023718,43476370,366293819,224912789,496739875,119836100,716808823,86750966,591768774,750654567,827798010,594618620,139543045,285111750,993944687,871777310,529263520,2491444,350737731,410145280,366086615,331584697,255829950,563047200,281712479,99878733,788877707,499602114,394042971,314369216,495280652,611555499,41598963,639588275,683531562,914633713,939063768,883301847,270171361,742300925,828725969,675676351,896288257,599029718,92310751,190625661,741571778,536075373,350286997,438083707,751720509,176981295,838155610,101136691,676811360,557080919,233661205,267771228,66159654,960114060,408258012,344602266,405975422,853679131,505189221,595828048,602373072,865814659,824318709,993512594,198841049,588764895,242390758,917728097,191728159,228072236,818047093,911125829,707988218,855232458,257103194,409433506,737016235,657751438,158388726,565286151,336872084,578728743,363890951,196555643,213470895,129687054,376524078,192754732,309027010,245996320,942849248,663685761,958781227,891860935,230654850,681472496,290676036,183914244,515324247,782387978,133752198,251748198,575626797,4744706,981225537,492109551,472034976,276080935,798196651,184202960,734028736,165849428,668204662,406669073,958889704,447856431,687151444,301833304,22293577,416462780,611246981,484354792,380016147,734627360,912126177,608825541,799283595,202746384,679174304,75122989,727078983,530207873,853087953,733467992,580437748,241683407,24436740,195380892,64726197,959669596,203532967,372751273,190414363,371421388,819483556,949681580,644798924,489058664,195157903,621337400,22943410,623248722,335274653,531735764,843565416,458375156,214713216,660247216,990050864,547012690,495265582,415733524,172230384,381253795,913916854,25046539,564656670,339507523,666849790,932093525,580500555,398583249,507285244,40213039,896521978,679784543,610415588,360346220,963596874,764341214,166507994,583381648,913451685,910228806,70016110,146181806,656561171,877490613,470785767,240757135,351003919,933492685,129973319,612760171,685945234,936316955,157209987,167322790,475270432,661852068,40760522,321160632,490220187,654616977,780974074,990358749,633694834,833875007,821462137,226792602,33270772,975024790,914839843,172085404,505012305,669314513,441268005,269149629,25437352,388918471,725035515,595547836,712909482,327248841,324084760,732018024,779231850,422202330,839776314,313238497,945856090,191419340,714748912,330975748,376824936,943856371,55301267,78130381,742146555,940377222,728085421,241170881,996278675,64033377,126502693,378094133,4191570,785515694,329574009,296919026,368902403,643790918,34741782,919236768,145945153,660958952,469759148,970699236,193173827,481858074,842124486,70196283,928025070,481406598,567181290,539415305,100992833,428202222,541855117,763076202,15918991,605057282,99973347,508169594,91993775,59313774,810641134,93397806,663675399,695801249,501086788,874329454,552686942,392797584,43819161,712866330,64460756,931774556,23909248,246079665,666648074,886365491,287020519,595845193,208120248,746526051,727757584,425410708,128954719,469320168,958471650,201012359,820967521,729957117,142035133,312001085,348573255,780642124,699136244,477438,91016521,533043217,861272074,429765267,140984885,846583794,29263049,672757588,677799486,348995735,365953335,992684125,205460549,672660935,869693663,48706690,807798182,713409265,220670137,963434275,165584667,179727103,876165411,631444513,217173822,174068266,812025033,966664255,646825441,502779315,630642929,323480221,163263983,227741391,810848055,995202920,446789761,455292839,554944695,573330805,272458145,278413775,403991316,229026251,578854845,261859311,168782187,367565029,239488473,772902537,946032907,881297287,532867217,979536,495996350,170441496,369662252,683323261,605505351,846048365,681988554,201363734,553837201,374503957,497047332,555162585,447118438,93983070,742345346,416909861,13186265,655924110,559490987,847530705,986558911,477360381,877531297,998011222,101997728,674850970,648571724,259556387,662460750,86215258,267201454,659290731,196065039,713635003,576493323,56255900,722184793,539578902,712457532,325252535,727052093,545660196,348011169,684527121,365305796,491247205,504244792,748991041,865933157,928869790,38824884,545969702,238119302,308651504,586957397,27003841,354121134,284977856,690125034,551936449,196959648,856472947,705930283,832274196,516247611,137851558,109749826,564029660,536657965,623263170,132926658,958615932,77223619,790122672,462791798,995851766,809082654,391876570,399296975,73170126,564239025,236032980,31996854,504862092,653309606,402967218,208314652,564014667,381441131,919722024,45277253,406524165,126547565,679260126,183900673,588836463,192900873,465866748,429975321,834400891,2709735,46576728,227645947,420641123,578687345,508734750,890573014,994353411,791276017,841177987,973663552,731386841,678696775,279550220,117518211,65991158,777610701,52182721,908898233,939443823,97165342,836858550,984967036,70138757,154158881,367194647,670377646,742957068,711806840,378483531,138259937,249400102,916979392,284658703,150219237,178124802,308605545,558079398,775294834,471978839,717383227,690660851,328198071,65588488,174063478,617930904,297507530,748311724,340268090,982678211,974493045,670825499,742975792,267949660,728312619,285184117,955587905,613859533,392613559,690436128,206482246,2620614,266996771,439780760,814225429,236102582,563020650,583993674,417117914,539876842,287465989,312956006,191898225,682347642,186348032,738100573,74250351,310962675,278173500,26277619,562593629,98906068,18524546,461440557,808930329,652659940,446502945,977922529,626190905,307175651,410927850,638141659,546777600,568938130,869950638,984583110,862123711,366962939,323418150,891823892,886174797,72681806,754973795,857640166,977371435,666589443,982351207,611142023,430424743,898117185,109834790,505344709,665584980,142915231,437938791,351735644,359568051,423774480,6993992,573096669,119084755,321679538,578402076,859483582,734392267,553355427,729622436,698468334,702995230,249375369,629324803,975130992,700810792,763506525,366135890,283501465,966224214,786096919,706201229,142799901,130011144,785029656,365861145,191448398,114212590,56662468,732047856,879855790,991391731,446775589,728363071,672806603,311922830,116797573,945798072,209626938,5768610,195712452,674470566,287479903,448418710,689257371,286618423,349748598,204060902,800285695,116176169,745279582,429016182,577449011,788569180,350074207,356785891,788567881,785667052,43542200,480488796,249669200,105136237,544600816,868520580,395588414,854839876,756539574,228655548,513009979,213197658,505255834,416624999,139920008,809601338,299175112,79071848,242175475,98353076,559975524,286423143,261250023,732019233,498978537,61547648,907239492,985299253,823428249,888020510,840354925,152693989,731183523,151394998,588927556,396673454,952504161,266679048,716063050,980866322,285869290,898620073,783572920,742510239,979277325,117279074,996939203,14083716,88780471,508373183,86949684,700714485,352219233,676018866,362905907,693996701,352509690,873693881,453350373,662600963,201915154,750259490,980342462,373432001,755221048,494867575,294395799,459872352,110887653,325028922,930857073,359537548,248488991,122788110,897009353,434597644,953240577,58968576,60702228,851818058,539430818,878625361,930836394,907127584,256582084,239390735,713797461,494598528,389254308,512434124,953770806,463683548,727290855,543846469,241562910,919747212,107438618,571297294,608177854,968187599,449800925,665613826,589680529,298816103,941600680,415710728,844773557,959409068,944495499,751928206,662509163,521705053,995173179,681505678,130104027,307499614,378472544,32294738,809755369,663014837,81569241,710249283,366459629,499871569,438015740,470492309,225828636,379015622,632696719,980342250,739693138,708635066,671824092,114670939,622178303,895705227,458574527,330284024,976947197,282346755,576486025,733893824,479488271,750441276,354967133,479628779,634488686,350267066,458881962,871220161,241438735,201711325,553259521,444702021,88967059,998693553,984089323,2196082,543723663,309150785,2353438,629405631,436342925,172369131,880907432,86310585,415632227,602139888,576047200,717026936,410764830,48591011,865639470,996484319,593871761,398468117,50323804,730540055,234745603,366990334,853383922,974742216,973715461,731593811,595674323,841240410,682458803,5757778,810488681,872549731,942352187,830163596,399478896,903417258,514208885,208262328,835452910,609724829,494419568,520695658,523006950,421557985,3408411,997528956,550194624,550538727,535818264,345670751,599021791,776593644,815173283,247520310,259026791,311633640,330543047,661493524,550886001,411938486,766744312,521584070,191096199,38646782,640211525,425406649,475772529,670564288,907022792,586948435,764530211,611912551,550173782,517979912,249187556,832355672,75616042,210491707,813634873,547394444,443297623,171233823,228661702,322483718,700021223,733981902,651338624,809493543,495330623,895103305,792339232,306252492,203743619,223791521,116693115,688511101,253276052,900489452,913468638,556535228,38654450,920169815,21788919,123487147,124179193,222191687,145123324,610956837,667242639,697111122,563760344,434402659,824722482,680509999,264924943,502913921,919064881,709463169,256884751,211518584,989183593,521385454,707715061,670749785,91872963,143322797,927703853,899507049,827790030,83792448,972104162,695747902,198523373,924219287,632098427,40757580,204757488,394419839,455592909,235333867,745367605,313432794,523351936,571028926,851971622,614496757,129787308,745112371,421223810,27446543,21095463,439276451,734947102,764914472,64747070,854136989,690339956,225951037,369199024,448873668,267879444,447071520,821744179,165275340,813415062,772804483,5227586,530169227,854714613,743463581,975874812,422871006,854502880,414854057,182753053,657563610,490162999,238122548,397811025,793960043,122235356,623073368,983167676,528984150,633538105,854175143,454729868,264868915,4375797,993821853,453058829,9436851,389506336,469846589,796141975,542821368,104647249,930981232,414137352,474144351,391860917,503239395,272997793,193338040,990700505,375891901,868378629,714315000,89377794,449022140,39438317,171932157,86116760,57378687,674872945,615276647,88337957,434060219,265525110,203337212,877188509,95593111,852900655,717776318,506758561,96292486,513925164,79954572,17435480,302790908,420676157,727025575,718572357,814078464,193864572,796589471,829232287,949336040,763191626,994169608,269131065,825452840,259068533,125204722,841639260,798291037,214532581,306755060,972946714,103592665,617498881,205565624,726131269,611716978,9908003,671979434,940255467,831022437,491103300,405668323,614557748,535259389,267088197,135997389,294807808,911556171,716437957,723287091,813763811,783871301,985929547,86431282,407667013,309598471,535655018,998696279,677516788,86412633,718242642,648956616,830734788,305468674,785943318,431737830,929726756,370758765,948519211,257523447,897742480,735698453,54401372,230735906,795043980,635849568,885424138,621817590,658591835,730264365,376335618,997452980,235811547,744482495,224747405,935756955,982542740,699860373,416695423,752691684,720636791,17025305,373866957,174439826,746076422,807181786,695731204,896872757,778938406,961789521,69140209,585670038,475503463,380564224,585295563,614444859,492106303,465035896,445904533,835684364,117700841,985113074,97442240,326847007,725039148,514482924,943910638,642582534,364774420,473476901,771824487,993216107,733743530,531470278,571683060,476051,707964069,708029636,317577679,468158315,473957215,767715952,444101521,87537510,464962888,416350081,235671748,695121555,625112370,824347886,469820091,497764470,637031443,629072540,992920548,547909690,10782108,794575803,231287,256962173,917544625,54879488,701285661,29350406,433187397,763210288,510149798,498583653,141155812,720012362,739937423,773864652,573681993,210500820,995209655,43412268,208884427,917162266,263232678,488850566,427391588,650055032,370164676,380899450,240592764,910240925,709752833,621792125,778855536,234031021,240508731,323940816,414796438,65843698,227114791,583088891,199075308,685015930,686712085,536039962,48701637,361605621,558437926,130365224,121762225,774769624,410311880,721359198,261792111,172261091,887795727,80687394,680032297,869433027,517003940,25433039,963733788,339403024,536227301,132537853,56084814,680471027,163928038,780987820,230101565,265831799,126938640,918554597,375873685,336811134,964811460,302908245,560589002,604055045,898696763,200036107,56136011,470734372,865668659,564738820,504802020,77751325,370244401,185802644,925137150,496273174,334204340,589534977,522639216,948428701,768640705,666697517,287705712,802736422,479554858,845000004,799824148,890125962,56613276,626874928,660690575,769462754,70099616,762432946,304883234,608418823,965250305,447949549,762309667,695239023,33920728,694568134,575588407,776043836,473272175,289382335,744372935,977407648,5331039,288598506,389860326,144157730,502046253,826924135,209185612,409961868,247668444,416836405,143239890,377223100,976238221,512440799,269317657,931905727,881213675,257822543,390620826,37711447,727061263,814988182,752456680,952513839,781134859,679988678,544801982,467679725,10450910,161368981,161158948,997728427,80250860,52242250,707170604,873451463,227040098,165113561,39650424,624013375,505376612,800939454,331512414,415083187,435892221,804319571,140688147,97851790,674174857,204441952,596721432,121626708,845335523,266043300,322505140,797688936,530171527,347931309,701738989,871396679,729473107,818164527,414670751,245014425,975370383,974501964,27477043,500690703,474535691,850193906,496262457,695075273,416267934,827383869,803876016,119570852,861510533,453154996,690513402,953424922,593636770,721168964,750297687,228794986,149752265,43368340,825023060,323961513,432105601,479123449,198116309,218402681,128520172,884216952,621058075,973740470,354837723,683472262,99151343,804090810,457629216,663545677,882057950,969721694,320843575,585411388,786724462,351629138,897168731,493539220,816396830,103295747,651285225,91089876,795680752,459272204,892204209,877252659,826507874,419362286,188968017,118784883,176516028,678011040,276677040,870539807,482840040,990270004,752816067,802160979,135178570,333802329,449781736,290019685,171126469,938728077,124670465,418932373,556390092,541543377,8204290,223599774,749873119,905516793,35719400,158934990,484930073,697058658,772778437,164968256,658267690,729910246,228304482,835349781,400597692,281351965,807018919,738122301,643477517,634529477,763925981,212157821,898541806,781120768,564006034,873469006,858566692,510375335,225462503,647503365,35402883,24716157,680657624,240330024,746317037,914891666,384424261,460986408,500316853,946878195,382249517,705306822,250920338,927193777,209290844,78825192,891114726,742395451,983933898,760333521,978898144,287615950,162341312,724944653,811962180,931416852,663989360,388392021,700748987,923049972,353508653,947744661,865717590,995726424,705994787,509640325,742014720,176979020,702663052,646953828,934421844,858924257,921542225,704181499,860927023,442211208,269365935,762683156,31810584,989884308,11100100,605472453,89037218,571118577,963277245,769304150,686507649,152749043,56866519,223556433,749093058,560899966,11469584,165586246,729358103,262808700,707720124,106236621,648427514,162073959,398656321,259956930,158002630,322287211,236280751,490439653,371129259,101251953,628228031,978238871,555096369,35837634,317839285,856870051,327334294,334741849,720563367,470025981,758508281,593834474,647484995,254164452,62289410,541131473,339658139,162205893,523684040,850064213,132754624,749875625,84505460,260283201,460532559,179508996,442449202,860219236,784045965,803484296,931247692,241393057,228822586,372812392,677573934,468106155,974760044,365486435,786905715,852874283,258717844,117209115,671115180,975236371,201914411,811892992,887989427,560536195,56039962,858805963,392098950,12820577,915265706,856412493,26965197,97510532,718010526,396295804,504211786,538616097,38105185,612499276,520633855,214077687,9549865,654818889,616420571,583736805,322637902,440773846,747055814,146913124,431700325,717588773,412369170,351808795,944312579,141700143,36206143,40472152,716840329,746189417,74412932,721290858,824415292,328225784,91337665,704698418,530651811,292563258,686798684,714684157,774426984,859920942,835869662,688376201,23730017,835816460,247182458,536582845,53525241,553389320,264286144,259372043,443679490,27099704,316148883,981606058,793607503,422380384,257512435,776076271,123272474,392219676,588043140,125617753,172793746,378931022,385903737,821114277,923575058,962633010,571105531,121802942,416470703,971290981,305133641,236714664,483860846,893548416,457615483,647175519,741826036,333408490,280296932,234693360,334112301,24058091,865089820,218078694,904882290,967803084,329427895,650178572,608130245,841351828,782686816,429529570,534416567,229829893,794699769,176007767,152576974,825809032,97072637,961308925,833564124,352161839,851000396,552850104,448229614,479359327,97869155,620435476,518812255,585018719,119815360,627554108,85544648,954492534,815423469,541362537,149077733,974414840,249697949,776500294,592068410,546467561,910678923,753114873,337384681,731691615,755430577,60690757,230691542,772050228,676972563,505856260,785090134,181942040,82114443,663862534,299001901,992882665,54586659,178140826,709185631,988097299,273811265,126547952,645095416,24668415,207488075,817013119,83955567,263287218,569295803,716058081,534860222,69746086,421657260,503792168,89373621,148016033,900784371,614098056,705630821,113402784,385385582,579876791,250559528,161076647,910223228,719115213,3919912,997424720,814281943,62710172,96991882,863151307,497860425,334262922,881961586,693769531,616336488,287810865,780816409,228687481,812351011,992767858,807838730,538695310,793823524,338554729,216011338,652134904,471871311,414372940,622861889,923345300,501147749,940725919,537779057,212887114,412778768,756632793,175994347,649241450,780043885,887596139,863796001,237716004,38729736,462553270,957174379,502131657,326399978,174833146,165250163,896591360,620847014,731167140,429383203,6787335,256521558,493243865,191780742,152927102,793312839,436331394,489086667,515950143,262555977,330107659,814827673,738767606,502845065,671801045,169122571,107257269,652604794,542689738,709234350,31902059,446858349,882187644,758856227,772819170,734889598,352117000,496855615,919114168,635745610,513982063,951068494,624401050,924124709,736724565,116198352,8332488,795508857,110681593,654328934,201785065,695604459,616048785,67309293,492005846,785029931,961327600,880453948,513586674,524850340,772719618,514304134,93026085,200738795,702622361,745261855,671323641,408651851,308470334,43979219,842235037,318080224,451865391,209312545,158791096,289770844,612463323,737518604,963911605,179105780,923686476,32804968,266835723,574449172,578719220,669052969,841177702,536816102,569140336,280721870,828802069,651948243,469051267,501200770,914200959,499615814,500254680,813066601,46774434,85687701,567740856,147795746,178589107,442805561,752460453,598246337,637988289,360578064,873971959,380680214,337490911,914041813,124690344,31987748,912253293,153978545,603214873,883576112,686155392,398786498,866539043,234140104,158538745,984207636,891362001,992947920,459551214,18315442,431355083,697413911,851371505,779779258,144272964,245183434,819653620,758000813,8921792,866219584,952274087,800409972,692062245,428884459,98506444,823004327,230347214,524100117,225218983,131984039,479320721,767142610,321085885,163599041,402528796,57492331,248095135,72923335,682272952,432444458,854554241,74444952,734974817,450068284,379433139,163123967,827611110,367964079,357201377,730764798,61801537,672644179,736305406,456024585,764904286,483153184,234934053,55818669,691244224,636023595,962617588,488942208,577079197,752689760,428671735,627315526,981128554,528622383,939197095,962129251,834950167,538748935,686574780,321203321,428026239,577921157,571898441,889898101,325204072,303447551,807368718,665985493,436436035,234379799,393222585,56202395,479425102,465236842,421644358,130492330,111741438,758988826,21315571,571856039,236706686,248150079,31110053,895924324,15764188,191577375,861082101,683042771,134340038,948227566,20070041,9751090,789604707,509596460,634263289,989780649,922525198,452878473,886821449,849966619,301619555,859364283,81167872,789332238,122641525,547930179,901693933,862514663,457758807,343780022,501579629,656727348,708259873,454792264,123941919,198761739,463539732,61983681,215649733,992242081,491443608,583710074,433190426,819370258,181269352,780378772,121911957,55707045,308461175,373949681,831542653,616426080,119072505,708550339,300325927,772155518,486710093,992192024,172094261,210685904,888242342,912377700,589493347,807902220,291103120,374943429,816015718,738907302,843651702,337936480,966765425,77449966,38983873,752442018,888825441,163485539,761682926,864920086,423662739,973124887,648445557,305449171,423491190,157489521,834061284,497657556,355434334,375943218,627538845,518334294,427105961,921611121,774863588,440215404,198660947,705472766,991861230,495514340,911370784,773452479,30191424,650422204,591787583,932817216,752841739,680641748,997847709,507743680,978075543,583909774,546363885,956094664,743517472,123244325,445458828,690256309,398168103,653818830,625034022,432688665,629434910,696146596,115074792,77551548,679971598,639625406,539134630,940604197,273690225,864986192,34213169,10457095,70578358,566059734,1371043,999924459,5149359,671211944,350827757,526981555,661164685,605352555,776646726,554713430,920517117,4906521,389271691,615750421,366786377,141618455,822206001,661808742,511941338,669785835,367003641,85958278,312401096,79456847,577784243,613327322,571598360,539245617,960722455,375430280,526408312,70926663,460373513,17925696,717382555,477232927,892271380,80898260,7318851,529647426,374684283,124261404,322409456,624210295,265112194,17146382,737495398,781617658,497099164,41268960,916259041,220143208,454129722,583960434,561385947,594668603,577005424,47836859,103519616,977909615,194013404,786803489,51032123,343266314,107857444,628022959,460303915,778864053,220582857,834620328,608525431,702543962,790895062,184063911,779908696,825508497,388401298,340240674,886364293,184414538,584374505,16562840,744239604,59187971,853465800,98842444,546640798,243645322,638989413,100120518,211196336,873741776,510663686,552600170,819056339,143639047,210606399,114265437,367977345,701933372,9522319,286237086,89504494,813490538,127146057,135468562,291227955,495861144,964522583,136885682,205099244,263602054,715539655,69622335,121823849,430507719,69750973,175474521,653881505,118595907,80160610,727531010,173830772,512515109,735194785,201962104,488610872,455110659,46959178,539070510,162636644,67734521,893342326,218426520,700368295,11423297,819425929,338535617,241642543,55922363,799102932,357174287,182491442,121331269,307710024,679195960,316841401,861991314,476629763,490834143,159201457,425007053,531336771,267235910,827865007,42752184,15841527,649279735,235272327,31014410,596249541,117664923,158797155,399089854,333712019,173814491,400756514,800173176,671319888,998672800,350271213,904957288,22618984,850890160,601224760,992234271,637856302,34617487,429948363,49538064,430639569,352137963,158285205,696943699,287518211,332097205,652647943,841772354,145923343,145886989,188091813,275869909,61966782,428675836,161392015,454150189,536921162,257531030,733915211,694608416,583367028,609359144,349448495,307482580,952694825,980353597,857822453,533018112,407279129,325449323,479536861,318096862,892282319,594688713,157034880,575211375,878864761,196323952,529637887,334025888,366292751,572275469,975971274,342202851,992690959,905946592,638617638,408257906,893433470,431337672,121443311,204691644,149215049,892866387,499657902,492373627,727366084,817413606,299830101,179108792,793021020,79484774,990787475,806778126,699771690,932517360,396801986,450369033,705688179,601764213,543650000,6424246,101576956,943742352,469876599,789602165,193861204,867914166,855513141,892781606,508623681,94734653,240839222,291304372,782860714,535793730,316197460,437266536,818734523,513125053,341667977,865885326,459199730,800469722,73959588,663225978,938116519,676396111,771293940,134110004,604210211,814611864,809471780,227147526,919603684,718877548,600688498,323051501,99437760,64384379,2816967,818797618,610590379,994648835,573954750,747757867,489374354,906949624,497465284,110560861,743002268,736660912,864764678,239030637,179921161,597075825,648263922,240484009,403859859,323376783,111561393,880769415,754737241,541693235,729100522,440848994,430876097,397697044,986305880,445501633,745929129,961822196,463370806,372917087,929787278,281491080,260370802,723087218,203568982,809192786,127668940,274859962,256763793,907418526,948574569,41107521,275421123,545480185,115078834,811728405,749430864,145513085,516184423,569736173,616298152,237442955,535206569,84012508,226442680,581787161,223916070,714119636,858533616,271167651,4042270,94481030,420969509,860656802,664057935,659812836,635967870,287614655,518672419,860701661,622898608,182056539,606693818,67809863,476866592,641506810,661823557,359067162,146840437,191874073,827990527,830271114,378743967,31191003,914176962,315775261,104161347,925789335,224846085,16306171,697520623,235541913,755939652,575119707,184347245,477066085,539678930,263733613,214865263,441131133,452288280,370114451,916699212,234272754,500356074,969628307,218075558,98545440,643801483,607531433,884942838,741633511,986510265,130375579,687291472,631810103,897452246,935825379,406107678,693379832,889192140,713870969,47764934,14203958,264162905,113416437,614265384,801578131,689265440,512136511,165983016,867516514,758347801,165973614,851022298,934841098,971138766,748262675,581017148,515614911,964208870,75596826,421017618,877419449,554331043,6041091,154592380,506155288,307883153,356449276,6535630,257739329,907268228,14466877,270547852,536213606,723009376,840425344,488682197,742223034,800330551,174356028,154378213,622316126,979186215,648850528,94387444,686133908,625519268,762398627,102140889,568059492,620235278,491928965,561673559,360605999,671102238,418722227,356698361,103779373,306452827,549138165,744392295,209157177,128661454,871804462,188569664,660533177,892220710,596810020,148592411,3754514,316034770,20560543,947406831,493843234,193634135,909235904,739551763,585249718,570121942,974319094,390024808,440707295,832643610,589779072,351021387,285065444,622379634,348513382,239138979,854608786,610483556,461886344,223078013,667060284,472047469,369143238,552604544,953227416,753771196,906112849,860856274,945392706,33882596,83862744,183911492,223443659,266067034,116358593,854540787,736104931,654803954,962437282,682620320,927570489,974199461,284615995,422644873,264036756,527010436,437700425,591045885,374999916,271141299,985862755,711574926,235092695,473603161,246073051,318396464,109556329,252181170,702194073,167019192,827598551,214212779,310715990,952925589,4726638,777323627,548721054,43937952,77555877,23197176,702509849,935704911,41291480,831748971,782607941,363771820,42493086,625937011,757646463,762987903,760712817,250714150,807968145,115306189,654191463,959235605,835903789,167983154,226372221,776566089,354926907,754460873,861983428,77609207,498433013,707799890,594776649,196556894,987641522,497048638,210299664,93306080,387825204,774785188,13418717,530053934,390953369,803341086,652325163,573077275,858592443,563662292,714630726,358240954,535799588,304481571,8732306,868825292,24184804,412359413,934807688,49450658,607917679,462915075,254876942,250798488,321722147,186292808,541309452,35174061,580684064,137540335,325902144,226778756,16721881,520790500,366570474,165305178,612482620,708345890,616876972,486274357,547241994,908001151,331138316,13070885,834276235,223425171,302712516,453124853,425023397,53772428,687347885,759698297,368039765,490631626,864069432,129160314,435820388,680426001,622918434,990189451,514735834,113433424,776776197,554903177,606811700,867504111,578030693,92234641,876331154,495618046,836099579,315390596,814136318,790979410,367734233,994349320,155931726,903915483,915789794,205187950,408251066,726357912,986553652,515194521,328982210,493238257,966842950,421201798,343360246,260868800,861467931,312550200,566115317,834519283,982818460,109175736,931484992,432447058,787785257,523430882,754624921,784910829,603112137,60091164,24409092,703374552,387038681,308924099,995827343,591667389,624067836,224403288,461352397,780121764,571664199,522426972,718727579,992251904,927417935,966468934,35630164,258145432,687593880,304267413,476720395,153727916,614385079,443500497,195328563,329908235,575507858,87306548,69191111,545785910,719427743,332659180,104143172,574185106,432521543,589289201,346983013,784975650,977306953,443647197,736488970,974196347,621910393,130505118,457386687,687845733,960403839,77941373,539698579,323557067,607955778,249405900,847661386,326846794,675203421,277577077,105821950,940639460,185238887,66943731,468697164,333982789,357991571,279395721,965577713,863569882,668170092,146540123,775683723,261651818,20611132,253479262,792044647,398394586,637607110,410155958,890945808,93808620,669595703,919245819,821748594,869992923,225316481,588237284,302330692,946466054,908506773,961196343,697288631,462521674,609673323,220027142,429813288,840038150,29758874,114003843,294463447,332158085,241487655,399090795,641749459,877165514,322692024,126384978,473276434,502013960,830279367,38957221,477371946,20295403,933906472,334353108,515106110,923794122,804926653,461569158,665335539,420492641,350938721,220783853,188580028,625009536,749331299,993307251,321867145,69596272,609159675,394950955,858715040,504439218,369839699,941284073,726653957,414147939,655042450,917439904,34384972,558078996,902018355,775816731,64726439,500430057,402929644,875959932,449006196,240688443,175432462,509477193,871742037,229789411,382693190,960082944,725361449,319776621,120980614,287310194,5067101,171372585,435177443,489600474,297969797,135540691,14030012,405565478,93787511,99780297,872278009,402995159,152532224,145155208,526740197,167435871,482467931,742641150,721448707,677934740,88238242,73143776,244303828,794853395,96393106,539154497,109305054,634077769,871305437,576705921,506713104,777787263,430431946,493222240,645192245,127246042,926254644,453695481,21307457,887416858,398429320,538076177,635521041,521331907,433259290,831083088,951922033,554251550,48252836,373431669,524832557,428767902,95774561,367580032,372141051,37625386,944666805,32695231,278479846,100155777,916771938,760775035,323942667,588544030,361959722,110859781,868923159,546364710,496702882,294948761,219547227,462897700,175068209,365621555,539113378,468459284,125453188,264188696,875622787,767019705,166798383,373436371,272752673,250191721,630106440,549612360,756162688,514658878,479573915,5396491,89869587,799385383,874436356,785617950,399329906,442469116,166056671,240417861,353322898,111041478,685219987,472330412,691618513,546732490,195002352,33917765,519800116,680476339,934639627,400741201,831479667,761752166,493658492,674279058,483905566,133217587,288218124,623703729,731708684,103934799,122835630,65492038,897964432,642209468,338021613,386119729,366173475,104816886,142536619,266892579,449323027,505757993,743452223,91876355,979839634,600491861,318009491,56098054,82113135,332451759,117304766,861934996,700827182,733462169,690500226,294953173,670975862,943911981,884071098,851114369,693583070,134849294,52834516,502528424,16360854,57312144,492787651,243163572,968956246,263249298,248855234,740573479,705584315,418701836,641220684,60461181,464652279,816095862,647340092,578741145,207699998,177825020,758106985,699679517,62625373,786768791,294833528,537288508,997789880,592450873,912328263,386647671,68243136,113755562,213360128,988906007,476622382,284100383,884695656,107202600,334329163,712710789,5721133,561593436,542378301,449464653,186715120,647975842,542461762,278922648,538688717,848479961,681036788,398527666,591633135,687239787,324013411,447559622,855331527,381498049,383602799,675833258,681136174,739723370,126453525,84846501,555206920,890066272,784115846,758977820,929370292,678550210,585240687,548826291,887365968,850275275,553474023,878077692,496616841,21238655,685909557,836543949,888665160,788623913,468007734,342733508,31839138,954653660,938327871,330977903,649448930,206160253,519662079,44836845,908116069,295036984,560588283,953074082,990879843,804721271,853215736,80983060,971628893,996197528,930362863,326848267,342691997,624403777,806106773,390445569,712400125,962320978,710081694,980746037,837538283,528510344,980782284,907294789,725597885,674971011,345653260,958234955,669303985,838529764,596782581,637851742,579222382,439099775,743834949,390334071,101077838,177166227,541393130,786904625,851826866,429447119,850713780,508157162,320578422,109901875,121508860,354241569,856305224,954337533,284230692,213023583,13179175,311374933,112559601,803340142,314138992,399646312,344724011,932810846,604835087,960375293,229521824,695971102,90007805,47305658,125455039,469820649,991107498,786327773,765024873,475462827,407792961,860316947,892324559,393411616,824630196,31754524,656395595,766521622,416245172,297815562,324104412,281980812,407213547,779421052,14283795,594967306,645937215,800921720,490273964,531235250,79269340,378372802,947328257,428594596,41132142,713447636,775581231,7928531,223609212,104565727,403197673,528458650,511211356,121526139,786964662,890127319,194819022,332307486,623576925,216995427,653528663,794988033,47796438,644488788,490965901,301907169,776095606,305954029,459495336,433332325,699388655,181828170,797752440,208403307,453495778,655596114,164276342,544366313,34982778,177016299,49738626,192627426,273035515,769296134,461200357,496733328,63810806,850344536,467748672,164181941,324013949,369345595,611258717,246810704,628325856,971178433,725444070,372962967,754029337,207618736,80290824,519918822,405186236,850275737,541787476,106022865,288955645,737855520,219207265,816541954,371287592,998066125,324951154,151192805,977002220,805857770,221614870,995695397,400086055,300066691,698539252,779524256,512988952,798717810,762613069,842891710,645029919,826025466,141027697,450887581,348952704,161520122,910761108,384655067,9420354,349632911,349304030,916601635,480919587,582784459,741909039,354493410,175058175,320390776,373497865,546197423,617142083,808273815,180994996,8607604,349248080,738530212,8155403,649892079,696924653,384673198,252228719,119650547,109827105,323071468,640185016,879407044,820978459,604488077,449179491,972979430,627258775,390395294,116606663,261660798,231383849,364728628,410477331,18694060,469158758,946564039,741511748,191759771,592132798,529871187,164061384,595663587,432501385,575950847,16305304,167027998,604878417,120081633,733708714,607373174,800769350,587895190,141518143,409001187,39620132,991333991,215957156,428457343,456293819,896607335,851784297,545943881,812884020,130780961,182574199,170497183,105536007,490660773,712034024,240427542,993782686,243365278,537210527,683211691,368189501,448592766,151916025,996552569,710817492,835806004,625652629,855011719,298255246,306279850,946292279,468253373,452914965,638427085,675512764,834150145,446340277,925291426,595461975,697639447,243238220,623296120,888819540,945419667,233825000,750388347,36862168,18705703,53627754,653471025,970493302,122915108,998501534,934896189,673893159,61538250,841442279,503277093,731403634,914712325,823297264,731744789,121655016,598579264,812431245,595480469,964929748,874349349,788996874,113169064,234051904,494185742,499583008,910830193,169861842,5580149,542634567,73355300,370109623,161667857,68285663,771278141,65758020,614440259,104233687,670706155,674476265,871217407,650566005,955841537,717239892,172644282,692204954,350890100,112323735,702656494,384378591,93901271,527387036,210734100,128906566,778410300,694938569,388708274,553249134,577042493,339771264,854016710,350210250,441777881,108476529,297734309,869309541,970386946,206359008,684112537,179400915,477168339,122556433,576136939,456937702,87195148,777967308,852461237,870223392,377632432,255062797,322801523,306365542,657382807,917471015,738576708,882572837,778323380,392919571,4388405,923808061,688564499,266372053,328668167,495597572,445151189,930197370,398529015,343353937,989923413,182707922,119648236,757250487,555378946,400097672,142584392,306476650,771964069,103017667,697641658,961296288,108616446,931164431,545453496,642124737,446329493,174333618,264739823,574656196,254748603,453478944,551543864,539915878,740184805,836144113,727003768,778186195,408435120,512557828,50209942,150507308,269058513,413828428,443753163,491666766,235799441,470330580,398251677,792578237,504553404,326517186,145779368,138220083,750001028,848772409,584350291,455949556,529041581,888966409,510123966,939342165,300599501,533907386,434199938,77017833,183335924,46423154,579885465,726604079,88176808,726393388,522092237,851051056,633240540,959157815,764321349,816796895,718123778,103623410,923590079,986726207,865364515,176209932,870874282,285234349,786888050,631011037,794644959,127616434,628753812,326689512,391861019,266476688,425284194,310320054,365276690,832512778,272579385,666318960,692666811,417266775,714949503,395220865,582555783,371326036,412999889,12797336,614400782,782565981,837405760,718983537,970964658,688429869,596863787,209320805,648082550,309217138,374760852,229106283,457991863,252842399,806012760,609119203,216298470,117326167,450993599,589734678,822872900,603827614,295000840,267457644,190590182,358248677,85704281,550388924,313708868,706699969,891771042,297010434,211756128,602778525,649917558,100318827,997444254,73885570,109560645,72349071,391291230,954877646,812101063,988284561,816904768,239095414,687170473,161790494,153751771,95112830,989789643,55152966,267610723,664053343,77620996,447750226,623593943,580211656,219793525,937588256,937376737,80401895,123836140,458259436,889825956,323007010,39593098,558903168,218190453,544930652,909269793,990848500,999266367,444632886,978049396,633306405,888852887,609236272,73797137,243081456,139790594,825610108,357078403,937525163,110544625,1963515,344980894,801485139,265605803,633753879,967238789,930542141,665477404,668398232,150068730,63377946,757423735,92057005,640235696,978633583,16695681,633302134,377622426,56607636,215789155,631052861,619564315,571896996,569130252,519673776,708899967,730019005,518960074,680742433,787322058,210913412,701705279,188049229,520697688,526314212,345205093,478655146,890806169,570460223,73732670,763763848,425104806,132198947,394860222,897050431,123922343,644358393,282836464,6787337,149469662,288157611,118742586,895523326,34977774,701292443,567767556,60809304,449231530,966132706,622079453,671633668,790568837,608639355,505790516,328831094,515708723,501809651,777746043,573140283,832706707,64315717,410263714,231849239,667012714,366190683,532685052,217306240,451093032,938794055,834915243,629130721,192229270,19929555,611932761,706702796,581182902,416846235,298848664,314667347,704365626,375887438,257613225,700747963,12907591,271556007,456061951,188071763,662467260,853761008,21843681,570050616,785116776,418234884,813457569,704434802,942938963,404210160,266064799,552484806,310604547,959314780,887747792,597129453,608542879,457621515,301503355,851191628,646714519,199778537,49232998,821109930,547093999,130731574,496002124,867301642,170140023,36894773,935433871,131823793,800415731,394271547,119337137,169287775,638659211,344233677,621556947,373101626,697029387,706272561,214209751,553211241,816283082,838430850,323618701,378294627,878204186,136213631,756437975,10030867,662809938,486446805,258163671,145660030,334079405,164350938,351198672,578580203,911586789,819815658,802811963,780417361,688954473,254419384,945543358,466432832,476059592,401117953,952034549,438454987,206448094,536771538,391289044,421928588,97386295,269183665,276872938,57017053,122346162,499536838,108035871,850691505,459594115,190659327,934867266,895605262,747882028,976134913,489432750,19979672,186178046,864128916,479308713,997551816,490314502,394117105,521735837,80001909,158055864,715184076,445594579,255252085,617574862,266367410,540237680,365395191,868096395,725755899,786798450,607218427,727313888,795270437,43666355,738817640,843193789,3855641,875892560,906031468,423852505,561444116,885366144,637375313,784022131,431465216,840470185,757507789,505946801,603180842,797577035,75736629,600863269,263655567,748263372,372964916,363942807,67237114,157615862,940315123,886165032,945844114,969227530,435471593,565365316,415981165,816953806,482194506,237729488,103621657,273332309,991352818,369088776,507982743,517232309,169547753,109605442,607311939,662451241,981624868,351881175,570450143,879322885,191434429,41541665,621571000,444948997,303444187,881385623,224451741,556549635,834025802,620406248,805263951,889882299,200091216,386306780,596403745,673086586,248921133,760478472,941717602,969905424,615057398,291244774,376249779,587751007,228696885,136867342,1585020,462165029,372238702,48379001,140350376,902763860,415357215,609850353,623699740,804637234,955043288,168325549,157152206,934241452,424143497,604222635,685584701,97652302,213740193,997385625,931562678,464315734,234546914,31193975,459725342,834772464,768639306,325470264,287033120,767025591,466040188,621371773,734334004,259378947,249288583,496074217,118646336,241353019,759094260,871391512,68302390,329651204,715048383,801169861,759932159,987372295,753305789,515375778,860241269,292411788,843895448,678979362,767055237,639906860,500935637,799703001,793513813,827504534,487843353,140388097,665734430,489336705,247569322,45538993,61877557,31209665,746507266,648919838,270820409,709657910,78021551,600462872,996765182,213074643,78316925,509669621,285845025,305080935,21105642,282327959,126164052,146090653,418032050,404825977,924641878,462149007,952896477,196483221,856816748,283929902,1516215,674465379,311447677,545918238,34773313,421180306,568513514,259678749,882055911,351143747,154342584,521080914,52670044,389106466,104110431,501093110,749856674,176447224,369773443,168451090,633178350,657069199,213086681,305442444,828951056,552444071,379643992,543306794,871251049,934945290,401425740,791802643,543247214,907518613,881824060,66811262,834977315,102783753,293844698,48882882,878870515,886834372,16477939,741586698,731546034,31053940,583923068,173528319,900111517,44833533,650103216,690231897,659561851,675456659,637629373,58601887,866058599,941643688,531285078,628962717,665869410,271637258,77262218,447477542,296754121,31550603,93052729,968483213,354851620,98289420,929821755,723659852,952833474,682126513,176779339,264779266,109090700,68604748,995713649,750063767,6248766,630549776,976832508,771049713,59370986,684290810,263777676,847595307,218493119,884584336,876355911,487038164,10519257,272114834,859300593,729451159,148990950,340308953,878343722,362321660,15059284,979363865,904662327,544974960,447745154,920693160,541210131,400601320,947399495,303521471,867283266,537761309,886498098,66792780,817536556,357545509,569380644,697237890,6430988,726195602,948731695,578383086,448964404,98252737,883691946,515916223,764895435,397406468,315395718,792610327,53032961,890807851,248489597,582619860,149957178,504937111,533316750,709508456,517327713,311307769,806344616,511001473,33253134,213444512,443025517,886349916,3950242,275960024,542527597,296354828,881225963,196368562,994278887,505745253,668371597,32740815,910120240,186290884,27191639,398305913,306124041,712985909,251568607,943345462,188481326,737560598,427206500,558073562,656899218,968967012,507732437,806275434,907450519,963054362,421579730,216167780,984693485,227136138,846411434,464971132,909847238,349908631,418368278,985353437,835430961,235573632,972461489,61586685,830050754,356602647,185628894,528850919,801088969,898692300,840238087,872767767,358849837,10312725,87705803,16089524,405446320,237098642,240918170,962640655,838462734,298490697,960252475,74576729,30621779,318731416,215157369,73601511,818063216,609369428,79521655,89005372,992739253,549315747,16691200,673049680,463881099,784352655,374398365,982973189,881992318,537144841,521739144,788863986,887661285,866066490,719232945,636585032,906706451,700091507,21311601,686995241,346593395,229245196,978839166,911116260,403404294,15539342,370228000,434493547,415425628,65937773,667662900,128306652,279558422,843440107,875833241,105488455,933282610,987976883,530271319,896763797,577942472,512128389,964029019,547308606,157098941,829497681,142226110,841368434,654418970,169406108,869105036,23985130,445108720,366027253,587320508,206040925,951616554,770610544,244753842,172909125,278071193,568208468,720977332,317730835,269146394,831352372,322918854,387151563,828918342,759689322,361458956,717057024,675876134,726301876,818813598,842922121,331708599,934834555,973154188,688558813,961336196,793607995,690294627,774947818,190782745,966661827,676495895,668374574,508463246,741743470,37772701,854095076,278101234,35339627,67723500,838619827,65644075,209177043,603335759,601935848,317279949,318176380,978809745,643181058,806484683,688005310,957155977,682916128,247569630,33528840,247562713,133155632,680747333,81800994,993224915,866792557,732424531,879834088,418701096,366030885,154012993,791290422,888853771,680110921,671259756,488559650,995799391,583285225,178632521,725781975,923195949,77191037,483317466,64710983,671280045,526390859,801651965,861253148,447437216,112453288,970539449,11091560,125487665,78865477,382693410,414317539,544070053,835539742,745717664,367254463,217542497,450494614,423151351,260999018,738688913,468744239,506103664,303296248,248242068,286516065,792933694,343408791,758275986,593709124,441881083,652686041,527791535,86577944,932952190,35033072,266290707,926946893,911117165,386588861,758259811,768318056,352048865,5968275,389723645,857594267,309132558,316446,683406492,277510544,63254156,922629133,473259245,351091031,607419144,197091998,924010963,903178968,964246812,193542768,603736379,865010601,525899181,217875276,352694545,732324655,811195720,111172386,320368487,44388975,991572212,807778237,931124202,172193611,786015789,612905103,472889868,855712339,611821882,299348009,142031957,448301128,243836373,59460965,98667555,628307562,860322747,437546796,696162389,549448007,246607830,666004172,26184241,388719153,360658423,556154820,164584801,334182397,882561509,802404595,463072014,253600193,743281117,179126558,907932425,167076885,582863150,706432721,955652140,158838067,624284327,230599416,89120126,976403968,183357487,840879443,398669101,969060745,629586293,712723158,773835631,200745077,610618332,126167937,313096223,311371036,132363216,395947215,976039364,517093952,747561825,335329539,187195875,719486860,420967446,523437130,448794709,144463656,111356572,343933756,162543889,896792388,517355829,551500655,251865942,26412644,326631039,861402787,243627309,96273480,950959909,200462120,452893312,727004645,634833706,957701325,114825293,527842570,444165155,678268906,195646584,280726673,827205443,438062974,546572739,706737172,191322400,529210675,528466554,951537572,170064423,161349103,525321844,529986008,7652947,200443478,339948306,310513595,287611458,736335629,839687432,210543828,134541888,249728509,111573170,501776232,256295319,5714647,325361898,148670655,740372069,639072250,742036839,565794056,55932014,237340597,732238349,162578468,144190322,232753935,867280104,480679794,667361070,869063628,384058524,141364108,738825342,167002148,689089794,206430067,526807957,771132923,595034022,487731342,72226691,845526251,906857460,932708275,59366528,861626174,346949363,730878568,415923499,135894551,900083102,994877044,326528618,258121761,445363367,640968303,582160297,113201285,375124488,635276384,925402630,476072753,389270226,26572881,991240928,190935539,557853273,609853699,200278434,99042867,943180380,975629659,847302938,128625707,979002987,814040054,267518871,696724065,460852257,126768962,888949413,571979255,173147819,611649473,31798288,59899882,789193870,635849130,945537888,908060638,757367326,227655956,767195963,119151661,238486235,770062028,401344807,309416079,600186665,743244035,519946942,574727929,624048098,710449799,822957149,486091796,196741095,353506780,907549862,723350151,966583892,120740588,743932030,241336581,50342824,389205014,994730479,847349104,428932544,154858655,716769821,573248971,708494606,906947076,953507585,221099730,954658142,443042710,164050165,659286725,691040679,325082194,943211903,385369826,952858699,551740289,724210108,27061624,414749766,587778036,100009214,185771943,206035920,372861546,725238447,204229587,361259606,103494136,23806133,453866068,193534313,786382458,530642257,292047524,946890387,546425778,682588873,571704548,139435506,895885106,225611324,127179545,410991195,135399215,814343991,597717970,276063606,821677542,133210900,214494528,596024143,928344559,179684060,70886497,94572256,831417213,649683065,399445753,985552692,88587374,448501028,223819895,121696432,23009327,658919305,6607158,142402894,235884672,154286675,754349524,302291928,969551435,23560113,947175952,283029741,777078214,635343846,483485267,276738191,177516224,640880122,121343294,770515926,461861317,282148396,403719083,996808690,437152661,88317957,22719655,547329889,744999561,511727992,806264073,552305635,192357908,77072147,16811109,734673401,712355975,691145232,822284735,407191543,1614887,237366654,614130200,798763753,792557016,979025990,684224371,194779995,870454018,329587682,582479787,714258452,813778860,230595316,875271994,42063687,236280793,239780357,604242007,466683549,246935943,435686306,200777038,239647977,107782825,286050988,144015799,895780408,855700180,138108923,277526364,906802374,550813685,609731705,341880839,303070081,942816550,543643317,833616433,328629205,940382561,71327138,964663201,838771009,757052437,116313449,657762439,909072087,908597543,923846504,172087493,606962879,548583532,347203674,626159904,927911118,704428002,56019661,530823845,162734156,264054496,61338104,354510280,967795820,326896904,928297193,444239521,871522327,250963888,56190194,773773770,236616722,859631687,658603907,714352154,640729474,711405419,169005491,230838885,400583000,627694817,487834623,678094106,440394278,847453522,101405343,424418635,749073271,942643312,728120382,865147324,148260194,347709795,324769842,427547775,148489024,225526710,456808423,755070835,571646501,736747299,346446018,136330148,494808691,703321835,363344933,819064608,348952600,521189260,198548808,761440327,54382935,480021444,959487218,710555407,740223112,499890133,724460651,213279865,993310494,702929217,596357138,162754343,984629393,121447832,36631443,80823078,666279692,799159504,511751136,467053976,260643449,257361400,114194615,300304658,922682177,234002608,536859246,827846495,786023110,377652523,263781853,179942014,307767573,312204919,940092730,913135921,159666212,335423659,800531266,611551333,218194946,294329759,10280475,996715858,394306742,369057206,441041395,435317494,545297782,380858217,299854297,47840683,925396647,760964535,259036072,435628122,9318359,457648051,874689320,617191308,539098945,888393297,349135585,421125754,467217872,987869568,290979109,282392721,631544683,529191460,128290110,694485407,526491198,507342555,449386791,998604853,305087180,252156890,936380785,747374308,16286458,655606511,312348998,410254269,563145592,144527816,776666853,273489555,111909669,979643862,102538113,595323710,481874376,105184111,327389075,723910250,69401519,25900893,420522198,349507597,609844755,638991118,257026421,413116143,484053020,774726046,807290132,313621325,226184044,409077828,334564716,162450951,469124519,974618176,533446805,877951999,813329676,944678778,717188644,936079494,97394031,293980044,705953199,846297003,469999655,76329064,669218608,881809867,775284846,414924683,812086975,141592855,362340612,566175027,497679073,452324785,572924373,273612755,883931904,608209549,168639237,123799553,242666274,568393394,234362870,717103554,835796977,537931616,178278294,529671837,742629097,710083942,327704428,789762468,890344619,819217235,30722847,949429838,796072579,843608836,677718923,303906499,953025991,757153128,853490416,417538854,629647652,271226916,936800415,908895746,766819711,632731541,1892620,287380753,433978167,202536764,566783211,380751231,39175573,257654298,833790375,388123765,964370966,400146820,279273369,799640862,602464399,292182576,888669439,375852742,521695857,468235429,207358058,112171963,768970206,827700564,979396619,968594233,663447214,968133272,402397608,984691863,313968004,443139898,747407456,510428994,301282446,854323064,134586183,290446180,140194651,692061244,347745650,403070835,566038621,263190911,824914155,420021323,575097465,163325818,198736710,951014786,725526977,822819846,243984494,219056257,274757169,318942226,143446995,644497608,796330834,756916743,798445574,595842731,556945124,733231325,598841267,564086656,658268190,747422276,465975796,995991824,196465974,859199777,528013341,240003311,694061827,871005392,916864394,191112993,439543955,304633878,403503700,604525481,21360106,668904968,27274988,675011627,139091523,921595939,442971159,771967693,684139434,157668910,386057295,232920242,671774393,943080816,991510625,837052663,548171570,292007619,358152472,499845915,620359834,509046409,438658700,395086605,220513161,543779273,337422880,968257579,678307449,740734863,173994243,954979636,154554925,995664028,182424907,506451559,596206282,76926290,495093028,968105799,820597058,283032771,85225655,108930197,922041280,621220546,151108127,144234332,534236490,854509687,70123582,453644994,979444090,262562680,495185864,229519022,76597089,791134248,834087650,445913080,465613009,915047715,213903210,895786509,975262075,81020612,434289057,928186179,102454553,596477775,426176342,115923022,850964463,674884101,969565704,490979214,572552029,828424226,331031216,684216921,367151547,34395541,486376772,868705685,316920679,511797680,759512501,702132200,21782046,496743429,766536116,507816075,793954695,31716303,531195812,399956284,307779266,814904431,325904664,930288013,464023681,592803438,136661761,251777647,763987122,116967067,32195446,568004645,291964493,128785421,216075226,859981678,959787065,362866162,634052227,21185688,372128741,84691095,996614217,960363211,413230263,324834293,137476891,182517397,253938684,744058636,839206499,587170376,890388033,612115615,779647051,144920552,661183386,46105477,199398523,126655110,963170718,656893858,441353425,684930139,547876360,158905,698626522,346609563,27981364,574102811,441500490,552396699,252501058,953741451,221121610,866281343,203097669,865656256,599532286,679841315,952103958,275622919,599816702,297049582,621952449,229316019,839945945,972354149,914390668,564655975,236113520,187208675,978737794,225222530,513569133,838365928,881729719,970785509,368858763,819087815,929749153,483322352,517932450,233559928,263312815,22978158,355690553,778877836,936799384,890816849,140010172,888203235,736020544,870235857,351225948,728532062,283482452,964361230,372584606,538187448,752032542,687869736,802893516,812838457,13417346,316760566,109610894,72128527,4840279,396369825,667379957,207053282,697967514,457587081,907485850,499273681,445567852,129533655,27466177,280656420,588952668,374115844,161828227,268276269,105260569,737868670,644577184,858909494,31911312,668701642,841091762,17708331,433928564,665611896,174634219,23106475,465415797,229296313,292514542,85373874,810125266,845249199,246244523,817951932,586951386,397648508,77486040,572745055,446041441,902493319,419644633,870268944,198066945,706043622,74588927,587889495,147972707,229169712,581673978,432135355,850441787,191348783,449492821,180150647,924881852,144698017,661742270,841705818,396981347,689381797,776566663,954998811,582761194,701735129,99219420,496918939,508288088,386318431,195127096,90198647,314105750,113208370,131509327,373340658,817423393,133919868,755180193,569166670,775539429,851096824,482915984,666385163,495105089,226794771,490563589,76115625,8883989,434067525,66558067,307870331,210404050,920795979,420418583,632321568,530362138,372506574,679457705,552832499,45226917,995998298,659023983,243381718,736833674,562842487,197584414,429209136,460665018,215576745,505993136,163993880,835770675,839717017,669378308,146792915,264557834,732912335,588422828,888804579,297286304,29972326,583248230,269470868,220909591,590376413,940815575,909670409,799105473,666533026,50157067,151375690,906684910,305483782,917830948,243964080,892754951,434909498,143306197,479719451,90832822,194781413,623043754,336307744,174312238,336253789,759629886,638454792,325565507,261814314,693500730,54716070,241258921,131187466,538725789,336550264,580058271,209457723,801895638,526126932,550017166,273325591,855316270,482366052,665665863,276647701,946674979,435372385,364750682,228822623,396439515,100427476,424316370,787070883,73904359,971799036,564626782,915696841,790203540,696918800,394326616,815732458,730091287,222334009,166259364,352223157,941698622,269888631,472717014,621284272,157871192,938053698,427200904,904959489,297487945,723780210,983417012,699236586,550327808,556872920,472213753,977612602,694359569,154536031,957427732,490662015,261089974,487238161,393864277,787119381,184561525,84367990,878332739,879785846,470979374,968739962,613854669,220356263,195682041,534834529,231746624,309349494,23894170,727827597,579496458,442219632,187740,732354195,616830866,264528847,187023267,972864336,495888442,497125668,47794109,208897096,100392629,635092670,383419324,463845485,278562302,991372028,332957423,96651796,656420552,964223818,35771433,123149498,228282047,759116291,858929586,639725777,820052716,825320131,502349163,133923764,813748228,315444108,661731900,643756456,690065629,910043017,265838913,63758003,803808118,864914163,114631325,133086894,356454000,69988307,241714886,522491068,386434381,55763119,103727757,917893310,81524838,526712879,193740022,123975318,559281462,75590425,333126172,481019243,186426676,593994035,225758446,439588671,32112872,378728443,91365226,282487305,229917835,826498746,881685297,307741458,173884910,640624687,219477721,600917425,866440523,291841179,634373983,27442405,71249426,553708258,613900025,316145012,651004939,131358481,937155100,322969785,58384292,263158339,531431384,345035443,202112992,832914571,807358126,177165069,832957194,986910306,59456900,244740590,667123224,424887886,113482451,179765110,860178639,372250754,229611095,605882494,656317386,151303116,756995494,870859613,763876147,269938522,307621164,471117632,360650934,214611668,226482732,567897285,63345534,844229523,202776159,649545566,676482544,377851299,748777169,821246865,393644394,933265659,485037844,173722412,616767109,139497429,450065701,338086945,934199080,913760661,14433035,701077263,455898488,957604961,140522244,811022995,856996116,865099790,709592100,393629128,364693270,905149788,196797857,405669273,969138926,245218054,835136883,724743101,265125478,675449462,61872795,556918069,974590342,830304978,698487046,312526867,388205891,734520323,839139611,718976431,834170337,920920336,967075233,702345758,77436243,643775069,885253056,536353221,711617081,427772504,781604665,292657831,964242738,845465770,623340138,70760128,734528810,64166766,943954866,690755152,365421437,891556585,940747755,589367343,295745545,369693098,703232606,872997542,821558493,858123354,211020882,990604794,688914515,733896893,515351596,592869613,2405117,323023512,167506287,868109190,195666393,635510488,421369318,737859370,892507909,527321298,64972594,609891649,988156614,137909716,119064581,419951721,740381161,998602896,281530563,847607595,368909551,320583220,726512051,225255808,73481240,490846455,797144294,529105263,89305411,792199098,111843154,581574634,749577565,304747342,408277115,357145124,114004884,76730812,796982054,745437600,528624509,518234903,165426190,330010985,260705031,185379829,142583846,837090307,605035018,540196944,524292146,247913690,234360293,505485598,983515861,228188232,790676679,335219939,644241988,297163,448698850,499525201,976191209,321484534,527181161,232992268,231978073,291222666,222688810,22920577,140971131,438719909,645897115,531981304,385421689,224957647,517324423,824291620,949784319,368693066,438311042,663362255,99685848,446024943,512678467,30174645,421466294,411030046,43009129,854868509,180948899,223438951,107683810,86189238,892639228,531078427,373779856,4365716,686420388,96784711,528409452,82338264,540568341,697759606,513975022,946601475,879325869,523710898,476588997,503682654,937480602,890484331,679089787,202046090,79923457,586276921,357815656,661614388,582434081,225744934,619807780,394620102,66295075,374834604,703984967,608625890,427360429,866395769,954812242,552276694,830477440,729779280,634132253,288705843,966474648,222530951,443078722,498810527,208527717,327938791,890831427,46479945,665484128,477969504,49496094,148630265,521987361,114877623,222534003,805487264,273227317,377952290,284087131,996068885,361980484,460128667,500639034,638990910,685465212,916496762,921973425,694160138,653694304,530414123,119327506,918491677,258699091,498185140,395157347,38568977,105593445,181121520,471624249,514528223,318748966,824282766,85598954,94697813,875277489,833868061,932387625,841921180,773690515,358585786,707724060,916378145,515550294,1493696,286811871,120578641,183159325,526744706,571356459,160209938,665424538,223623057,819543072,257904770,13605566,66759590,852968545,726808529,432423776,739327348,559757686,572802230,18392611,83012372,247237893,804346267,582028920,512440966,950239955,11475306,743259819,166734700,807958330,636885074,122580116,534645013,129653693,34273531,174685566,562968875,587763020,122353778,145513399,925555309,119966936,235383508,745997554,423478118,311851226,440131586,820599844,576649988,363158948,206274914,729775905,103476304,907557544,145668634,565606238,746219111,563744522,810511458,979190213,919014956,124646898,492932213,12714067,972206215,223710159,40860685,380550405,609306582,127233435,546294339,634445113,25163382,755855587,779771099,168181090,562635567,252139729,488057304,989636666,345793711,230362952,802246609,700541390,964708886,401731712,351777784,383465265,102739027,87229067,911838970,763513963,247635501,948592242,607325378,792300641,446199191,144808541,695932770,487459216,787430326,623340757,894659726,708731128,483719880,956502573,144395223,929576716,885850002,975852729,448707865,509013330,292983280,183928524,332042492,215118825,753889820,15938710,100879573,360365510,288016894,857058842,864890412,36910606,366920479,417426487,634456834,188594508,916222579,768497989,606831283,828017078,737007121,845993646,210782426,961621524,844049867,278605578,84637449,124674351,410971463,471602149,423612620,600110852,262920511,668688259,447418369,804855662,564354877,10006608,797819480,57818685,690343187,231487841,588018007,253610211,257687443,869570927,631311750,468878203,940874166,322029549,464377636,530525377,746508009,896304649,870386910,677065446,574192820,26970849,679997766,603205886,979793712,785099226,302101111,200132016,474361124,558018176,126289156,458322436,844895821,302568684,492895008,40502578,627080322,328861704,341905260,409734884,292918154,876837899,624684540,306127152,718162784,557563237,598119321,503305861,277545400,96032143,974289501,527954176,114955644,638752306,964131272,48697585,545032203,143810022,955311816,159627015,478827688,834098364,617720381,927391939,420854661,896272032,303159914,166759114,811137308,513714543,211507638,15602527,645031308,516613436,774926894,706268097,539618869,954495062,986920021,31974736,436153026,888880994,887762759,273818288,972451583,983871252,629319627,503403980,289067510,463510357,455674122,370930213,29155154,436053915,265326917,745988590,683733830,944196735,33484006,298112330,911548598,596165061,917392933,712337484,294266421,222226715,69744853,617789792,81221151,769849920,441646449,179473804,936374814,251292175,93801420,225848534,927568546,142159828,529884385,529179741,539618448,925287096,681473740,178411906,140054018,248021256,398152659,101533723,998117023,779306684,141956429,127697751,356946781,213507618,647700876,913727706,169623124,406381813,439840287,856721779,298631271,177448575,305274997,48268875,805899650,55146656,440533876,953156711,369350015,402127551,613649269,545760174,897363918,615507763,729320973,326593812,167879111,940491290,488487081,341691670,564373404,631215795,615936159,513819211,368530540,870154303,250393521,170094493,926730587,173457401,997803945,512995295,668969830,98850599,465253565,534495169,192483836,363556051,984547567,287523008,292742716,468975140,266383431,36322612,630200435,909536749,992607725,208184700,129912514,273999629,626480797,740817506,710250524,502556683,85550985,725957355,41766650,502765964,947085642,766255416,212286591,77383102,906629428,569346133,48985758,903429420,741500816,159589441,667921477,85086534,128938078,436355843,458013114,807222625,682439589,706247330,23420410,833500745,690816690,623309818,532842962,214699212,841121682,863429514,405997568,560990076,727955830,726021315,882665249,799354436,671104439,80751002,77889158,335157287,932715297,262589848,62785560,825059102,251189497,829625494,560016461,994484021,642293924,642427621,891909450,607505778,243904409,642401111,278807871,208381814,364686162,648789449,236651718,245087252,989224924,799300482,845396540,479279042,521768532,156223619,821922953,314912167,724496411,656764655,978739518,430245392,191930989,88279139,431659080,693176839,165658044,597541809,185678887,842447640,684061226,453691428,824033619,869138065,693806589,946639360,210090813,250036573,663579605,146811117,61613102,246315775,286001732,191703160,404547853,845553762,638274496,762190810,722708248,536377244,547999792,381555413,7330998,980228165,674554121,794866520,399013501,367689060,276860064,820934024,978129733,976353264,862315573,252967131,290946748,304748981,488900870,315547114,261198586,777432195,148404770,245107947,574400061,7801143,100797862,795408241,920534859,747004254,820721499,562573381,263067150,197074699,586515261,401181505,399822174,500148247,655202362,896155427,307913351,328288976,403767602,532113945,297794492,520533705,403013653,991377415,605776450,435682552,785872773,424925238,593358660,156868191,843238506,669960590,862998626,105592743,968269002,948672389,236630743,202926037,991308302,593882563,44783667,583771370,494403229,12484289,506508268,752553528,778255333,195839029,781632226,498814968,740375594,160723059,415840716,127330765,607158045,717462603,348796624,611856883,453063437,212846098,571968143,787592691,404721908,801934459,896645450,569029103,505694180,61649005,761921637,762921885,714274692,621566468,591148043,718851043,449726040,208105375,452873649,301690725,905497636,117991340,132125417,430242172,797093770,772380779,827672263,961808334,885905649,432777405,343568380,585444424,506770058,847408438,320170860,433313717,563028385,759897878,412942311,585325073,806109515,390929922,142711836,208123998,458165898,839159768,863567265,522554965,645053303,161273990,469712087,238001365,580933609,615832362,419716408,683927892,210842416,293323805,401894778,479868075,68241399,135646984,779799704,44858655,906955183,6126059,545173540,272456366,973459548,972256160,74692390,680213242,790967699,859441228,546881699,25538635,453941965,969673149,741180146,233060818,144012766,487352293,452670880,182176284,476166110,774878363,179793739,597555669,630897630,236980679,573150714,99558176,95920357,463675353,187689781,717926280,111505322,374498481,211294030,320110452,32319372,204677937,209511675,637696352,900209461,894539628,784169955,856595274,239222799,89719179,879339512,524299201,512709342,514493443,612491531,402655353,879332403,950935309,668423258,753070127,94342579,877890364,407986993,646356293,781571047,515059722,541698726,851765279,236977012,264292341,772879614,844095385,215222391,226947318,905680213,376155211,496460819,835446672,497127940,987645823,805196719,795655731,127015767,64013676,764551266,204181797,364351537,904567417,495461954,567918887,40065282,658812114,333456744,101746199,617995221,819632107,926525411,393031579,737044377,12096313,587288120,900681161,360424369,191557396,595106397,360498429,840270187,825811619,387844476,479214030,577845388,19522144,271617544,897496618,100240031,421388168,511078774,697401462,2847414,960206885,567695114,8942094,327761295,773797430,329124689,1070775,42813933,375350724,366395721,318649751,532842263,258408806,811026169,549266343,969543240,413071714,91895855,243855707,518305154,966580873,413559808,41782270,900957062,122728790,641979999,202622652,438450654,103518179,767457030,94407829,447084778,987038261,368090346,402539184,508035741,45307599,764903510,148215974,103739806,792337999,793596856,554294093,303272971,10937667,815500801,1201387,814246355,113264062,884670643,228969912,486067439,50040031,856229740,5245211,197786008,452549367,485361263,172479938,541628237,58193476,588920462,591795564,663707863,590583262,759970077,372631191,767265183,25338929,905179513,884312359,472498201,75921202,972014241,919117178,314855462,449380244,494681080,796316857,265250945,178075294,174378720,179240340,884264700,125729848,686924861,999334820,534197820,148251941,574969655,507698758,138232853,828913257,333423604,865617453,338314161,337209535,989264682,321511669,58610142,117155956,294105343,139570196,248698784,75516385,782773129,967934515,591824927,968996640,57772953,814466757,879520218,74945156,732237660,295580119,507806324,114977248,282676644,15916365,106928443,401120202,143750421,100940810,291017475,102736053,874917751,101734205,729314311,699301584,610055373,178310327,757716330,448258561,435999441,175280119,967008821,79307392,484530902,633482023,917335568,160779059,593738408,579677310,624623764,338755128,572470551,146781439,630326264,944027306,399645863,988498934,709574880,605416044,210251506,423392745,242295210,749281875,708035836,615613219,541286540,786122102,753924422,927343726,99129873,847846921,218105320,760846005,880488145,389636939,622162134,778513479,133368303,993159180,755700502,335555481,887759899,886872791,450170417,879407282,881496310,47204625,847273497,656344634,4900219,594055922,140666469,394162002,187693001,183244442,213561494,734237212,727160440,123023142,438769780,478027807,219243778,484167673,581337837,586420040,270518628,87895561,937255932,106498779,396238147,425171843,929313058,247494450,813192283,115507370,183453336,792630667,800019636,87681126,317675284,40307889,292321037,905426226,39338957,836155024,294880652,468129158,36661880,998609368,347636150,208154210,408973718,44230871,989707503,597750522,432386330,787763238,248259424,731109681,457159011,566956,586594866,41512029,100662668,296633217,633905950,783673212,886910894,422931356,944348616,756298884,386626157,440832423,175575617,960475414,5438370,525057067,39809783,337092226,163035914,54220008,271692113,277233777,426518185,980713812,598978017,149753661,398795574,630339370,26650818,152257671,500971410,186956039,816141362,881137133,814871390,916350182,339716193,435164759,706090084,239747506,365756435,786026881,510185356,751588910,879715442,28894495,800767426,82298510,902885733,141790022,637007667,243761178,329216089,16430943,479258332,864611125,372415641,801812503,327091565,729666532,319662824,732109941,178762291,584571472,853581389,921981559,91966392,364795567,587938450,729425764,507957612,864806715,836287492,659418179,242175737,831515044,948389290,550236985,940254988,206055765,198468569,261429289,20580006,176892430,170317827,378544467,800038116,976850022,902716292,25107985,298586132,897999707,70993381,427338297,700779604,744321334,467362183,490479302,38817962,857067980,994233227,843679462,420854966,128160402,846998369,658238282,573446184,106573074,621722187,621683453,635878714,843867577,2458050,694052209,762211724,286197456,617234570,418233425,736438006,308816928,130099301,307573998,287293470,161678480,677355310,506198042,562771228,753875167,706671927,443233900,356679775,352234249,223116351,444540979,782016431,794798924,242624989,545286392,253913076,870317015,716258246,717218777,219471967,446484779,505849694,666886378,768140744,467501185,650280527,602503397,24197233,826009768,103134868,901463765,229498243,70147768,154086278,990270278,729842895,531368972,390859070,651416991,470598977,89178469,726912823,64313058,761996386,181412766,786556527,796470930,996519655,904481226,543906603,433075512,604921289,828152469,378677460,923068541,584288134,409553741,200650734,623706219,81604982,607160574,455412205,274638356,545137918,700002295,555874695,456173103,433181944,216692670,342290167,709336141,152860447,462445929,101805040,133573590,369775206,93231740,805290244,119581420,884575645,744399260,98542532,284685821,127123212,280987464,646053252,35446495,555698040,944483176,867281788,829874262,493998003,260726958,789740101,429885728,176660251,644914512,389757195,237952679,739939873,951283729,946083910,996284428,446008237,641750011,494398137,661327626,370051432,541849794,500665153,70862501,313997436,413323395,690317619,180420116,643335433,445604115,614783501,20053634,792024778,554982531,535065450,149803219,55255381,345877856,839963634,845807311,721236169,949127391,134055492,815071981,360471905,838237090,162163015,913239096,370743054,565579818,877067411,245337220,281722992,305557441,266004831,711336873,68917587,403608861,416484770,380012192,89383184,313542370,925620107,469839679,411167210,320015481,768201388,693273383,942540000,831724930,769835299,450637806,934278292,913799858,434029191,523849057,375525546,928307655,369269869,899318047,200869984,474580545,510674728,622044542,166689276,597363363,109551750,89000848,891482864,980196173,770911175,760492085,991705162,799978892,675481054,155385392,459865052,564370206,33415674,46262211,37120505,390692885,814396790,873245155,6951939,953421514,557633724,277141142,267396714,960859056,330906971,427236138,650915703,61131436,786788665,404345325,363094919,568469436,772166468,46164131,691201555,857836090,207666322,180711311,398887866,271909009,510545900,185545300,433536852,18024763,347155411,365384020,9664755,429919961,339305228,754057342,411344789,24595413,179785873,780665585,706510128,369321433,585830569,237099967,498210176,742391246,445330217,283777675,410404925,593162758,930275599,197179683,283330221,894466080,342885605,339550870,462608738,421670310,564597115,177296099,675016329,36246039,41647346,245706124,894593821,473701600,169638591,483657613,962292707,892470222,90442360,437947172,45643531,460591297,825142735,536283557,809346011,885327188,326963645,196288550,416527113,823075813,728715845,411506406,741460331,592275125,965486472,575309234,113331285,860018784,284683860,313509834,30890028,933122081,36503694,270760667,383359138,999650774,630340380,601413470,316397928,25242741,607604380,461614534,62416655,457205832,142293289,157996740,252068133,12361039,639304505,151435001,494600090,191174352,556053620,903763415,754789303,854844340,675799274,385151889,229054896,30040062,648965248,566835689,564591660,714995500,695746970,730408564,658546016,19277563,364957967,735253372,956443084,586269636,539152790,178364331,179915395,717286111,695148372,637240014,731417684,310370073,873498238,745556497,388475335,371060097,904510995,802221515,582145589,625102821,425092851,656539517,900383370,383864704,175550286,46357285,365780139,947927570,584941720,210754429,29426985,466030280,351901808,197222593,504001913,870465847,460792615,779189742,968677244,506244323,207240550,70362070,603369610,315236423,226479171,141495637,453946751,347591141,839682512,483929931,706230521,355395849,984593801,69013680,517998396,711323066,395713163,255201229,120047201,153606515,510797931,930045207,509646452,78073144,603989550,741863241,599176515,539995343,240427074,916236828,684223632,494784052,226672558,591057042,752883359,452837395,538715086,206897188,911919012,606596285,855681718,614153241,306646044,624530378,732934476,719898570,868942993,348240379,852506563,140557326,586694771,712650640,828831717,880988884,5498789,600821719,451731948,746542169,434129765,195405235,758893117,107694449,605882104,380168326,581356102,720878792,248783449,44231247,998401501,92000472,624957738,440594835,435037854,453670036,571538270,784321066,311425280,391378239,975152816,859443221,789410516,779713166,415841295,181947099,868012409,412433218,271348525,198631872,432263383,467662827,715095613,892789682,401971931,951256758,881550421,842851524,284497079,242477807,512456242,653686947,141570634,729245036,476002290,910890245,903874956,727540677,907372907,297838735,670810652,94179839,245107839,427489487,645687331,140639787,280563281,460933293,44612582,577503889,829890116,167431388,267778917,310006195,796582779,902439146,339166634,996462393,763069193,370487647,302263122,301904214,496166514,464810672,423109277,910603425,177694851,228739421,662595315,989979179,256188946,362500744,144830387,529822663,131354618,829469465,384978464,519646321,360765927,840399030,288873492,446028344,40687637,644335939,993345168,119159155,253213484,681473681,229926640,87803877,887655713,402623318,678616439,28588427,588040772,1126262,622874903,504403918,611689475,186116336,337064678,985773136,895603696,774221178,310253483,75406587,571225996,823025790,724456095,768952292,784435229,616700188,194191708,90061991,201214065,154907076,938161996,742732463,523160148,279620580,612972292,351776938,440851041,663445813,922634276,111284399,965131187,869859529,643422950,764967452,825277119,710188538,509539517,180172729,766987479,663711015,126544133,108680358,595961046,999775804,249380015,827703966,478374087,622721622,364489938,950473773,910787523,980094388,329286102,943229671,318537191,290902820,728356243,221729727,581624765,226766181,782257923,215585376,74320695,871230117,539734037,228838357,759889731,528869749,775885785,296250743,9346279,78827873,796513676,695583143,767182416,366524558,293568485,665153374,445572066,114152003,873549914,458682416,794551203,749443547,519589885,6717085,351196003,802468570,436909262,9016203,333209166,427217039,213998683,322872434,250753477,925149573,386203047,91146005,645259372,454915302,576904613,436528236,598896207,550994846,167257459,20113732,657213989,428934136,54738093,270808126,809839467,460822254,777662662,382365179,598626599,743989505,781309165,342003887,250453212,519378262,563928287,825654111,528074435,901349786,586479157,551933569,633652871,1925256,183376311,541201676,246691447,319224753,451926304,46870193,758347806,535732377,237379273,140121072,298314762,707425468,563747919,225263386,697842762,941663778,931436019,131299228,813715216,747984919,133286180,124867404,716487955,616984589,486258351,196668619,586132507,87893277,26353883,349934334,715401399,144620325,990169710,826263668,324704951,953718622,142882235,74793282,463745756,908443117,742822647,292311244,799763681,260934217,805935776,942916291,549509676,592644695,144244401,258966334,400861428,771154920,749358434,322992851,824982284,224045660,543977788,398523199,967518397,344023881,571882367,935612894,136508809,641262575,112645172,603747006,126903285,720214465,828360152,765586279,43091678,642197057,771087866,328583958,263515116,760306588,923856538,743673141,160845541,459810350,170963770,958226409,393152319,745855038,336605154,690028495,568625004,830859796,195411530,886298911,590198582,1810033,360572911,487348733,801706654,942877947,215449692,302195283,496480013,512094360,101429037,908206650,888632835,898030257,616963151,88889014,697963325,224386269,291808262,202079063,122111336,362764228,699350115,160714742,608212397,148058347,176090810,50866787,320739844,959369540,683888288,902105812,314944523,95599030,512594441,257689902,352115741,126727376,902037367,594878314,48866027,753137477,240998202,392992685,925497984,401388054,552579219,224769900,98481953,953760539,897759967,56974472,203212872,502929704,243273378,557279890,200900415,642673455,352866346,167514593,939635421,600989914,35540479,416292901,232847294,706800702,631175926,269126558,677437298,700232448,492129246,125070034,331903331,693638784,916658549,758389966,94409759,417911937,557679900,687574830,808870036,147494664,841584610,690464822,269744702,115200388,350346083,692191734,853484276,730577749,513492365,500432518,32888194,677654303,137455513,323671968,310495737,640877454,123242345,767443947,949628817,842824345,14905313,171093503,335330887,350151325,354564774,588921924,823182690,610534862,537716577,806776991,476588836,376009833,55604779,132012358,266298940,73180704,588089674,246475230,886598267,874066789,994592177,611922566,672327342,732460080,339843865,588977632,361200044,729019950,787956935,745019770,887330529,489341485,674967036,758832319,352308254,27543823,217269087,734334680,837958496,866163044,710967130,168131772,846390208,214431654,367987628,761004517,975408612,732519431,908312249,640015554,267804854,561661209,209787062,512836598,462660178,191283014,510824749,592308920,979537183,905234127,842560353,421134090,291502139,213739898,244599138,446363711,788555725,733339086,382013489,190255789,513977479,373312151,271365380,949822238,230837540,347984411,13569898,112174637,478555026,660871897,720667999,777474168,115779698,463199701,430216693,934097317,471921045,91850628,130219282,739771101,102087573,798115097,516626877,993767031,852198703,588393118,580574673,524319647,340658345,48575616,607049264,102591903,164426346,28075347,829198862,722898117,821563365,830000206,731995900,50681376,9468556,367631452,124485313,508842155,549453360,942452409,670564670,615230772,356952925,384439628,877200020,491129205,296757572,858705582,740859256,228429900,975871560,173143188,315971800,914061119,484665060,747778799,626222307,627568451,310628248,779864569,653098516,938255542,292202603,37629150,289896693,314482712,601220573,387162759,958501044,788653029,750898166,881487199,203172838,78729167,334263041,854053566,433572670,593614272,447087120,631717127,533140948,17077726,886131709,636141808,101514555,954417551,296352494,803672725,914371600,822037161,299923350,812455679,459761967,42464997,254645728,602872918,277842263,106882194,533159450,861486763,996743275,72956312,442505270,600981444,980965715,313261605,99249770,342878598,199198133,791152933,857910455,325543347,721434677,56624333,497859518,837043063,930267370,4720500,343062817,649610092,970591431,417094847,978359733,597413067,256922018,633024948,196155088,869462175,862597170,744845170,306450881,120381566,626066816,700452371,153661639,925811473,419151459,825038855,696281672,281118236,536943847,572952903,985363798,929512712,155332403,344233777,171650713,966751823,669206667,684238328,919507229,278927231,133171972,89800805,335753219,422154814,825218948,743453718,400922233,375251099,420125923,728338690,256668343,561743615,450817483,270280069,598969336,488490183,171947900,482515899,443990499,491695214,179465706,584366783,323337054,610319883,607030747,754664683,623442218,544529872,209406916,184070187,218465518,94376472,130112401,269250530,20142092,956492836,116380963,97095841,104706941,798010735,11509645,340929803,158803704,43832140,385257866,313154222,22000593,506100462,849370047,787491645,213582768,763405144,548349600,392874432,854000543,781432744,428308161,157756852,59194494,330777032,599256205,42794255,96613379,373692648,197625993,461513716,443213425,983865993,233259736,272213433,796585752,144224798,479046504,600019389,924247870,621816693,349622903,175689659,145617825,870844653,72482253,580256784,862626822,79423232,816691361,544565188,62286176,427192235,770614070,559419284,195468410,313622853,998013074,269630637,10319621,515673207,406361672,880458184,653311203,207772272,869090753,20219974,131177342,150264742,64449057,733395939,469787880,718290784,245744452,610355944,631425972,834789793,961061669,504886730,302892829,287222236,359043765,783139435,213518070,739929537,284186460,860393588,6602091,117519805,177078433,400889537,235280967,76341180,69261279,241111739,700939571,434351453,629233940,167761412,49390756,252855945,14119319,464936505,227818142,642885945,68674486,715000309,267122957,696413231,146467127,793006100,597593264,65848633,911379436,819254455,772182057,624138651,593165899,439455290,855817464,102795386,880009062,174202208,944081658,270437267,489343578,923191772,17490706,656114667,645670076,415342915,322015236,742109455,406933230,181467538,912192047,129787521,315284754,195865596,375740064,429103738,284288747,905673226,233269225,994334651,147244910,827694642,960452773,957338670,387300459,951269519,952043937,802048372,583503389,595363954,598677385,677812530,617704702,801528963,207138846,13569224,23281554,602148900,301687163,209297871,32444801,618420957,767965156,889180711,6709594,491087800,568029561,187214396,813434197,138193353,171152548,111422859,820784686,220970556,324937004,222318269,379305784,359101948,176929510,241263930,100868839,343104869,490874792,902144593,319030684,844940842,896948492,985426562,666195722,447159813,963824352,921527068,270465466,232360248,726214419,223059729,431399179,409530927,867029404,988742849,325962591,606271263,976650484,430166170,823646155,965605853,215933008,655036168,256162343,151375092,41398651,433659928,370322143,614421357,101155850,551521000,579116291,897938369,169010241,971733618,300972287,699678920,834151311,757445766,750724311,939819221,280222369,998015327,646898493,602439793,75757562,520673231,601396688,503851428,921593141,289318689,645243001,15241732,966146930,176740784,198053177,972400634,310571346,873112589,315093123,555625194,620605568,295959749,381075016,558839323,915630999,383621769,93801851,930284333,384363643,949383904,720174342,505132615,468761268,968734124,565323933,913418683,135762185,343953763,518992338,340581600,586553447,168695518,742347997,264982490,936328602,940006669,29110776,771415544,997760074,375909238,389001959,557341801,433438983,841527058,685425776,542428344,591611368,448179246,824023513,651654517,279974934,292037044,212481217,961044728,945278806,479870144,455208327,818412345,649924454,917427469,626407198,247093633,878256019,943980281,79600848,307241997,769992554,259601344,198877320,182170076,476334376,580069867,437460587,446978551,702583520,292793273,430833191,473183850,98421621,985132218,266514141,448591185,364988325,925127307,158368887,519945413,428833889,900865042,349748611,846180951,191550901,904091929,381363734,286433212,481302731,4195519,552892267,98651957,165271444,143282317,395862308,557981135,932240323,511211359,735545563,996873242,29478707,87521820,763189459,667072482,162578508,854706103,184646012,891147707,783790910,528874106,877535216,527410088,62485780,875857166,738122550,160596556,279844205,290571470,726791738,179549095,531408556,996411131,593195282,27106194,985279911,918059058,144463801,147127737,748535275,886005506,125500959,591254245,496754619,575973760,802260278,200406460,103433268,230298400,744948332,803233456,991680098,400272203,249695530,832879214,775918575,760074250,932411634,591020691,853969878,761948056,53629884,487582934,619335556,444900737,781252828,332746508,678107679,750290247,934029440,490041258,627899093,820220512,206413881,786586577,153641521,598125327,390394228,299276859,328992552,124559755,242189970,641080965,543094805,324069343,715465709,719914738,183712743,75561158,416218598,5858903,99646881,578940937,587018792,275792673,406952079,136488714,32389325,562389175,829554862,88304306,271536071,276805940,225148607,311979651,513163828,938762483,701971456,718025051,524163441,201373878,566762226,493697577,249702262,167106337,513340431,271307670,262813390,471509161,427814468,75458777,518536572,575415913,127654975,972077645,370764862,531421890,636300597,10601968,426306835,591595304,751980509,335911543,448536844,19717366,785296340,117635603,114992183,223500417,404160681,749086733,335599558,689329048,644731982,330160272,502144191,832412682,239378069,258460129,40473753,362685657,415773639,683970980,158336038,714636048,102404828,485837534,612009054,640122922,575595328,106683393,10956757,335758513,962629426,47327849,914666161,671021581,850154856,8548262,380743038,301608244,430243850,806627096,587342818,407522376,245294309,945482463,612881114,18187243,281975708,257303067,794306753,155970207,340345844,400946170,806353892,544434500,703897933,442355185,316581294,684189408,621938175,208690508,222799275,554002812,31883387,532508137,154575732,424080798,249136547,467039511,236867270,681401980,847246268,851069138,284281864,981088812,809649355,308627605,614907789,861389527,327657526,736204679,562074367,97154324,144242884,677620782,253993252,6025289,353517496,559744377,640464975,660609842,20854831,548420541,51549722,525675310,41115447,120963189,563180152,492050967,664735473,534918277,345073315,187448148,746965645,553517931,839936618,264860851,569074008,6870573,328639464,989028437,639571797,548173522,135303194,980905590,456443591,535198172,530395197,446504348,837047899,686727657,381449129,519765706,424540040,645769820,641105100,290912226,858791554,461161802,419304377,295939139,745756683,33926579,243059119,159744542,602487848,665325109,254126239,416881944,417750577,320608170,228128630,634630498,461835599,342200366,932479963,229059220,833856776,305728100,758270896,967280027,888729570,727232250,765122305,613894713,262476780,449468217,912232999,329801062,296478814,677789495,980224308,363452725,758379818,127967386,864865459,346395180,787707428,227514078,642885905,396854655,729704206,817558011,527100601,740306444,996170947,233601668,705242394,283654216,454724353,811110123,462434858,720795391,776023374,457833189,63924965,608662744,715858273,77114085,930955627,491674796,16553004,398436237,433617414,349156562,403964439,169020562,31156080,11631660,578166479,223178570,990322858,580442947,643283999,536913077,364292700,989113098,126195088,921244843,103170949,68746741,560853667,224154570,998754411,220905780,921576270,233809208,381853558,525598085,743925177,189810516,779291553,218799119,860777342,329215468,346253545,430616151,107475751,215604253,249689510,269598529,25447598,265070263,359921829,967506062,113258957,974381912,806381126,153637704,277696792,741509397,558247440,232217984,564885598,512518870,215980162,657417215,95778656,769142300,197522535,886114993,494023256,785022369,536841842,278677087,491608737,970541356,47348690,370603830,699763172,540747851,423995332,734113964,14396512,52667651,690773035,337625602,625781726,292786570,217408386,800338199,458857235,669147255,26939763,909496679,491305129,503130192,832770322,643472559,22342940,666896579,719438996,290725257,257387599,987838991,432704318,173648766,923441872,545552338,613708844,361287576,136583252,347127690,528320472,39309720,431411777,953840021,121353639,523181065,274440138,92878385,252479512,571606185,928965325,206819983,744141114,49160443,193051149,195295084,559538996,558900427,784578185,708794649,22566930,1658474,857655099,161142916,458743720,567948807,736328382,843917922,321065274,286110666,676491589,83476410,7561759,394436957,667132054,699669436,83498581,535629695,1003396,783593553,428403359,739239164,393360118,336634708,958260873,350011959,257723406,636540669,897895729,471801083,807832401,464544422,33917752,722449611,374291163,979693551,373438067,166023636,953426981,758195381,894822198,748055246,69502299,848394258,90693667,92400176,347452350,919210414,410731773,370409206,589525307,667407201,955113407,379536235,493618597,476670661,376240007,302941060,949041618,590587344,669354002,161277984,746257800,502635238,891755315,566694337,859529485,133860971,493616229,65533227,253706283,236807158,47821472,820307622,995642069,600065452,480836143,545232435,554366697,800531889,794730835,357093859,141173133,859541168,353520695,923259519,486303678,487739786,886695909,208143405,181845743,482433343,753503132,55525497,515161332,494402842,453162891,484192428,332967339,418814566,559922655,245847877,319457487,534691871,441725154,707249620,458593156,594740326,29842158,503268762,982678941,470236719,646586313,520371112,135948988,131901277,799315019,532422495,162177424,450223498,219021158,633338566,409995671,251042217,374116598,305870230,41289606,918988421,789451839,200411390,89134397,688118932,267757214,494924471,646928837,339580765,799589742,596303909,281061356,365082586,49125431,174728824,620270686,931378709,378420686,938453360,976270394,856832556,934048475,40698145,731613828,572685620,555286120,818890520,727879563,60264097,472907217,953937854,580565845,28685611,487084993,215733288,669972882,268293848,290797193,585412677,136392297,831670960,716304993,670478175,568082175,778986465,935574287,374845911,501285610,122711572,314328480,513910248,108254074,760171417,839298152,880121563,510230606,951380107,765966769,699890560,772966560,81787297,869136326,842794636,209985653,117452552,334817041,147087135,905750490,827675286,885212900,667164858,651763037,594434906,737413004,22509993,867788023,782059099,970204603,617730144,471105389,919456919,815585044,317794022,565666097,593992655,601519812,822392030,588028143,919476851,171845167,17880208,624792193,430570554,789452833,554275354,469704483,474220676,984689125,966619797,51817810,36414847,208026505,600341889,82762863,783518376,213506720,201227710,43316894,463896783,22362706,508175351,790139712,845755385,371513652,943539140,978812478,641554998,376700902,955767574,315505392,330105210,844028992,10175356,238337176,59221089,306415200,58616633,291297052,30664793,415172814,910002497,902615725,756895577,686904422,519265120,231588460,466066535,452661226,7272133,528926886,751394918,349636619,867721053,744812540,612017067,740043615,985750229,462722200,628194217,26728494,595217683,926347470,395225331,148719610,18814504,199525845,972130268,210862222,798880081,864862198,502029878,402310035,117693298,328714756,910806271,848830764,410526852,190819816,889635554,449399280,629036783,532892571,290794443,109691618,52609812,515022467,322501662,251299700,112661557,594534836,397228264,545458080,989540775,502878995,869119763,476973708,378176745,548668030,155740986,842677881,450377676,230898774,21790045,735071619,550916841,368587772,56611091,476044527,409381692,778821214,267430067,384887660,260906913,213804738,731882011,497487605,196537277,965668240,996465171,140168951,598428497,61822931,928469206,926326264,583987943,304871504,327990,785709283,566225656,232156099,600241339,217546863,636532643,254643112,139217081,814735335,375095819,573921663,749487824,384241906,951825004,580254433,546244928,159469428,942621178,594964873,672573417,97855911,133807389,667719641,29728984,689053488,294601878,190104108,366615142,217069600,990121672,186467773,350118129,649448637,941380524,100312232,967825245,498752143,601943538,310803571,945092618,763731090,406605517,644565329,83685935,926151759,915578023,111424391,479248586,905447680,230477733,222134779,509024027,784187129,699047737,941384679,966925157,17833904,249007169,583539467,33724655,439801859,153519275,116012107,739941666,253764574,666938851,973986636,23748639,962411779,360033462,552621249,18595812,784399321,273617586,809247218,64204873,324622318,845163469,161494491,609321880,930434159,76759594,993926631,970464960,277299552,643489078,172615413,48775688,250118529,132987074,300940795,844978537,210856472,763068152,582996834,869758704,376568278,479688411,547496618,665518802,356726800,327727907,659765929,2029785,758283244,706510360,758379690,616154705,149235997,513114784,889966778,379639680,926238919,484645628,670675406,529704705,774782951,964744380,188849972,60575375,490126840,537279510,663148738,149735413,724831019,331535126,672990817,950781634,759222357,525764563,169769276,509285114,765449167,314211041,718838904,913969050,494116362,691130555,321550074,945938054,748582182,443682829,623689884,755313340,21360135,41429208,385731778,338420922,580810768,264377939,229467291,211232914,189100853,247092129,713007500,585025406,860002389,930615396,923734627,649783886,910443228,558553237,617411944,116267811,311866208,24546636,436670695,65636298,795143474,658584852,491885659,293394219,727727581,870285845,278915864,268605831,37571457,462083964,852296455,887197094,193495693,469518771,933340458,430706535,477110114,721549524,663014381,504150067,537127631,140222264,509899521,419634345,192941772,219457847,284302207,343699027,448769754,614027384,173163652,767220256,831544556,157970756,364286611,142146433,840047777,14427812,646002346,285834822,184094831,766736701,272791729,810705803,378452386,222649938,710718341,986112926,140321004,537238975,504336669,72847476,109427532,846334207,224810003,957171669,804443442,805229114,891596815,696977696,661493364,13384778,570025428,854567683,731473367,55928216,851151867,424536364,602075818,306584352,963960675,808040872,12490266,279230478,453947682,694674583,11063580,680823863,908976343,320518728,923916749,510011909,902201008,749404354,221573102,382719190,83851702,597874906,247560720,658936094,929569620,654357797,418009583,35680164,112415477,523126018,757982355,889125076,970591172,617168466,270086742,816911764,236912382,286675919,945961509,427224024,637046,103576112,474757585,509841607,208946773,106296307,945650717,660477017,408374865,347742958,395510259,718541505,889880386,357725889,559788706,367677895,281732207,913245579,861918319,874819081,411115758,423755800,393544376,389675648,532920437,135631617,241422292,998049972,133844875,61417756,409438423,495655286,303660893,752018986,474923059,527048704,8971310,151306942,383156107,361989352,647656738,670283352,611275336,284965676,422318172,321078729,379045395,718506565,906703071,231441169,944658162,394898853,162092555,141648609,725442738,95147900,14752664,745054936,479121754,144728882,767842091,659533039,592325330,635489370,203016479,848652963,517692353,998398584,180313171,893167716,795723006,377234247,437714679,374742002,749130904,665317784,231864254,548103274,786989651,669334145,435511449,361544391,138729962,831001299,713358479,458845172,336730110,560956719,4368137,944888759,879312629,754979861,560683455,107737458,38786378,413544315,362926480,901049425,230574760,664479294,45744646,237468601,441054150,972248305,91543086,11927,552522826,578742482,92400332,890317396,79139378,833181305,848684788,818702263,925299194,542232153,993497169,536860117,164347090,895539723,215431099,485733081,159321500,134036926,98710710,597903204,665605068,306277888,353742050,207944063,695589741,973741448,533154305,151258960,900628860,519847076,896791159,269134433,838952902,98276589,530614856,304664973,142611287,329634222,281685474,334723767,567570130,17559916,796604144,387613465,637653640,134530189,279975254,39569695,195597991,192090521,56790537,238930389,968029461,488129092,721973771,29851019,337401033,701116115,880185188,227479655,188598375,117416485,708333230,642618056,591262259,43558589,767834111,890553272,272987324,626641231,399423798,826794141,612766293,743317575,479652327,800353248,873638524,169744882,58397258,272493710,138601237,386222516,646534027,377734159,423388558,656827639,145186265,522464209,188313164,373205213,46148603,896566323,812558171,744546532,839844492,611463497,477211938,518459775,741860713,979168240,975551666,770570007,830085493,261135974,632441934,891740875,939468974,477488721,372977196,361733315,720997488,966537899,381437790,568443198,236180626,677093096,132176825,823893213,818629392,266410941,272962160,806068499,401563012,415651999,115405728,560008132,227045755,876128066,14738356,835495550,297824662,487310989,765296184,518440698,179222182,990697711,21410854,480755417,865375019,983256748,365575950,946130114,479012649,582265172,463727373,563726294,650900170,99186949,268162793,496167357,830133919,749724257,882643362,21283316,689045735,510948863,137551922,549156927,980421183,427016897,276179971,195704352,979919690,962218664,742920496,26743542,922518693,574189925,873946758,526132876,497233054,217613592,935662050,428452335,270179849,903320767,759343266,524727516,288840428,631419482,283649508,85522081,770253355,89057574,174975710,957861275,850704683,679973727,258227489,999315495,105533171,525425290,879511583,922069239,843736750,398838206,828429713,98775569,452716714,35842050,118029577,973168766,141005198,737720969,939599661,622831654,78291869,236606447,990301563,220906085,273731621,725960930,241498981,537978299,619887838,105230345,937665486,596251955,381137824,374890135,891959301,118844865,273793483,172840757,111855393,79270840,542217030,21733198,433628153,293645949,858496617,976721846,361560207,934837590,756481231,631038316,803358065,677914072,457374031,920900106,176628335,805423954,432223663,610579950,459363790,605550436,784606393,153097890,725010502,118745250,909204593,892850587,80909589,788748960,415640914,281166572,382928017,306153084,413867579,433358556,593781530,106523606,489749905,62200336,501634061,32364715,96305290,407363922,461844301,142271701,870231731,365516500,24106864,479674890,905757297,568489860,755565484,922835009,266127445,631288273,570580524,238913433,575872979,639576047,54026938,477460212,129356508,355469111,919597606,56660258,258099899,355705461,702234024,809831991,797922542,641834118,709930230,679749666,563187909,274357853,855256434,546511463,797547933,94924700,490769508,468297469,899795600,810395809,784737022,175256197,247777336,752408599,302749753,105549169,140309362,471785137,320527529,715787741,943261856,716798875,779523081,624476641,942756131,864634391,905830966,910047443,881134643,902175733,744276511,974942756,826825703,283586679,41294761,689916880,767271409,411808650,484714520,702280061,630482722,787267134,735140545,994705068,636697958,777711061,821860466,221440957,46675500,378607586,740831369,219616098,695696308,275718862,251860664,787403788,926337216,529240834,361006608,161256348,947255357,210156916,531048685,280602120,85631293,164332609,491671827,32584425,457400557,273801837,54832978,228444713,490702953,884897604,481442817,790589987,986151172,595941468,141185314,681897187,584701437,296381142,200167402,369732872,447500322,831136961,924203439,402286836,744426551,191990823,238029315,587597082,166424913,502165943,738094722,84361831,431658411,843290875,109739232,339509208,755908494,736758789,939177160,746811418,184439385,677729302,735249405,983287925,455589581,28721371,934716939,809160027,178684201,591569359,72227774,414086582,672950844,590618498,915333485,143785652,281872314,508744919,930789719,551429932,992785643,57182443,382013811,826542080,153570096,101322950,463491442,718728628,976692064,453849533,806815613,965177438,322593593,575155798,245006630,988361576,459273387,913109262,599389137,773333106,984935937,284959568,257682124,720778014,38212218,455404066,77517455,744545743,217961975,947759546,744460523,957255302,35695703,826125774,88671210,533635593,718950876,895066446,365630843,905086148,628935763,4631107,647133016,140279867,31952915,264411825,769066519,298317953,886131983,946090751,568643297,500057392,554107893,502484857,799154132,475590910,82339673,147599839,447078165,276319535,801569245,771273750,825089630,164387885,284232865,339873039,815802189,925203957,107839803,842972266,626848857,293384103,170658954,593560565,353484347,135454013,734844015,556675567,384590032,221920401,245837901,606001590,32304982,234876638,739567046,28796140,834155212,531177594,872913733,437744482,279928302,165450163,639408910,35608146,997548215,822992300,906783002,558471464,289885174,986492372,993999323,790148532,335371663,683112017,375342730,802987386,954969560,350781591,158455790,624939618,550533706,239558631,120479582,153120967,928841128,31954369,997946090,64557780,940553446,147395378,273092044,110108893,887274585,419526106,674550421,988907203,976738315,15031637,533422278,225339961,606734768,838292,8660567,822371356,85011495,263607445,931264064,730494340,582107241,926294136,283950553,88636685,149844030,550563657,588521614,413953351,632069071,702492888,734806333,107605117,904969311,568794282,4342232,627356903,960697756,504958458,972786116,953489566,97994974,371140059,908011844,446535636,580419653,208162617,58426075,799776526,275862432,405959509,204158122,24193359,735541836,361255965,772309028,251125455,645555606,806725182,440357926,462242447,620204381,696114010,771134103,439416988,449259325,996392481,426875698,989529152,984609019,225039737,450070620,541349373,146660517,560948528,202193006,605504965,433570311,981219733,463067182,414406799,402496840,197525727,845470448,960215043,976013632,347749221,7832615,888514034,401355236,71454391,379242118,58575076,494293981,163490396,420166645,28840099,584303209,908413879,930804402,813237151,709635930,518085426,341272518,727011117,620086647,926981555,548132283,997495448,430167469,529746461,194841680,553921192,148491427,304485892,403853084,751994342,789432055,539433698,774391191,526910052,499936311,589724811,562451765,716055892,400121793,876909716,638612597,738496090,658232748,709044964,584394734,73445006,62695237,481908379,67915421,966326092,518678795,197502391,972317565,769930308,479686415,131961243,634577713,74944669,661121529,564742788,628032639,8904632,950950116,924355063,135148278,29517632,742368081,733238486,949205280,839777220,361603062,332499204,890597028,644942321,186511327,654239807,301589696,509894179,600119589,357887841,789663226,375779707,940336648,22717935,525564071,612772175,923468565,453823195,61052342,315597986,299283037,9588177,967004897,100724143,583510676,104058218,645094791,752058765,818969302,870568131,87979016,37320146,247706437,264964380,123931146,499878442,856473128,211628087,762335758,804609066,688599383,566343777,285094767,903412305,163629874,874357948,612730832,713006780,194899794,686172279,809603289,396042314,940149556,929146400,728282788,197685596,806180509,503921665,156132379,737718307,686309526,856083804,311859508,203224394,614838037,112704401,212395402,291670413,762519510,609064416,232025685,28982905,593623368,433774842,673624994,998207184,360364804,133100159,458200314,126175741,836562602,822676436,476191260,839373264,538697934,32271369,663932491,988882973,934882796,55707082,29885845,982593833,476307175,282664770,342968039,908898870,646072495,321673798,859096147,864121111,444009687,709924967,380140635,220035711,251547890,103058070,612221614,899254297,216218105,918045501,232398178,216318640,259257735,724184883,126872081,755438899,364078417,986454146,169649200,11241696,530207972,39419559,550851254,49610127,765830459,17365399,966894136,161264924,208892264,535734633,930463030,752474668,476102423,150578552,870797888,892963753,494536397,129337377,650153735,435281475,716848874,242533770,616472135,340768870,777185537,485621659,450798339,642773810,586556003,435187390,448133307,202057119,627338570,788464786,660911126,241179721,297345032,938059564,133678444,837850730,164118144,155616792,635837539,659202165,201039770,74183794,814678137,678338020,488925612,792253184,509054358,650280058,636269820,699204243,358442280,92663399,174277328,55964400,568069744,54532530,526215913,527507133,361907885,25560523,800853600,616386763,51802162,600533093,185689471,660796145,263177782,989485795,943753929,174884373,853070846,396050245,269056211,182411750,320438005,652592676,232076869,226803802,892368227,655156263,921823635,887406869,106221200,822866770,745946743,586568401,400702181,70664067,306327330,973490363,454727195,116661139,319602627,107133411,223420591,260074421,335187437,410657122,590807435,151356429,335564854,690971465,977455332,73443699,395063604,797822868,823850535,926897372,454045327,367602742,842691637,6094501,496135319,109827638,127216858,611273753,128077707,239136647,198369220,94049803,63956317,625949814,313960696,172624382,946037105,445386803,39185309,286074028,601948763,306252981,936712260,280413824,359082366,148415062,287722630,386436693,185305015,384084794,537579327,781891466,228850146,353907264,444627385,776259435,571949879,318934377,548926459,292248020,354321504,15025208,350770579,243669233,137468510,169496390,475876027,278263915,179809805,159326409,262224615,484326558,310899452,516789285,512446664,341216767,768210809,295798785,816363071,283596364,407013625,282918575,411874786,695389639,727522877,622653103,418049736,366073728,105309032,282585850,857220055,678747716,664803151,175238497,798076282,443252581,706613184,178336988,355955994,912819946,330893901,186695774,879662438,937969145,528581474,598025984,63056396,559880910,243889138,808496698,665968599,23602464,118351448,641554690,927351532,427990498,740834412,135653792,359321807,432450187,302988759,820572299,731572669,854985956,813038127,355932578,644922842,377170534,334636176,435934834,391163344,763582739,100108695,167272603,941428058,549382591,565480692,954997232,290493739,854313133,589888192,577092180,701713645,551622774,266556521,424320387,737856411,183937786,540994566,677102985,696045708,274992004,688481558,292403564,20817796,77686097,552486375,358370582,548139279,26891279,102735319,817974352,208343405,467546689,812313038,409678333,514209002,481617201,99484323,818351839,657703414,285990300,536802194,814125697,25429512,862838178,577219675,975611117,472465628,152949436,752580535,908756264,189675796,423913093,174480635,949538032,894073807,656476663,876561512,767969539,799999878,619316141,849936921,276401452,74564172,97968155,702759854,901552618,752103650,78997552,923052854,61550013,194937251,514569591,906164829,880767846,919269943,989507659,931462348,689403757,975302133,421596376,622306600,644570566,600326262,954062444,844995687,380935345,763663687,463236632,91950038,270485434,355159312,694510925,173513212,383038458,308038774,71857651,746093738,271123068,125039933,727919384,857405992,676624943,729715367,298923256,503245401,521464834,400282037,192989248,767425172,449371642,828493532,738721465,646086209,583945617,470541828,597215719,320013899,285351193,126369676,426225922,45893792,881946063,858284074,890016645,22425984,341468163,179545350,908039901,670198643,559861036,870893816,824453936,906192115,157837427,498863265,104357862,825126819,426123638,829706128,515743643,617959154,166335254,558903599,238655931,471321087,103281598,758059999,327260517,556525134,326304615,744759426,462497538,896184216,42065996,80214749,680579904,298538394,266837708,418368483,264243682,872532335,735272507,824496959,627504783,996853368,895787704,232548927,548977925,98373025,928220986,271290140,978614153,381355383,909760910,635209421,787171490,782129049,431260181,479925113,520099036,465668665,613794658,534031413,952029124,893528156,330614951,682217401,954870478,945262577,17914692,328027219,505523406,312145825,956090326,213403197,472284357,833029612,820966572,609327461,860401113,652578122,569016493,242277877,134957207,798014697,628606534,588275361,929598381,406707886,536645119,502871531,886687973,571238957,396553443,410551303,373585812,40467733,660503036,373469199,883156138,24444696,14343521,32731802,194379054,629748943,631234281,350407986,124573214,746158369,95855683,164761226,872106048,927695689,450565314,750192619,838536312,16399434,926064518,533133472,784139213,328037426,355030143,835047383,822033296,249863789,697521467,785210219,16782726,443575687,65725778,748115742,958261896,314628946,119843165,449055586,206738301,961719088,124823040,465864915,140080928,354608092,338490898,902427822,588435035,629579245,204450611,357738700,312280529,598709147,821763540,516254241,989428455,641067861,532055610,957692474,746907724,960800271,149025734,79619970,924938494,6730276,723325275,419967768,962827997,435367316,376458383,686777476,595319800,528613235,942932089,417025485,61866611,339876359,768344221,199957588,832797919,719885484,832678617,859615839,609494910,689404800,918581932,148958446,696048031,433420478,954899226,470488776,79101227,541655506,356188394,752671826,655082094,65769158,15549514,381577046,507178852,18901887,830397375,923111106,706380208,762098988,205027270,795223516,623590896,415965904,203413196,258338311,936215215,549121621,602700223,160685991,448119073,933255086,836436681,196594539,124916436,551720534,893830769,486315031,367203418,929807419,928153592,451056222,957929040,574162765,236804866,261826425,644798192,929970819,151919666,611792348,851130159,868810581,499177939,301241173,812959570,595201383,62592181,763677515,209496944,548633307,869421463,741097334,525546018,101297920,235267808,524839331,421506225,549119334,470272642,489472945,697697418,939552693,328638934,225102798,645710536,387539296,243847021,471519735,374543436,35943049,11194791,374325968,118587236,435320895,171940171,644643891,572561370,461259663,643449093,783573435,209880031,278289854,188972882,458965611,686699526,606712019,789626625,909735396,132999253,995779846,483356458,321006989,274954582,147578193,489817116,128493388,958994414,865281307,40236474,771436149,684767681,39067491,883756780,743393616,849346971,928692182,249200140,396319169,70168429,60445216,109712197,554147430,988267550,414923331,939376894,36157983,483782246,338022201,546066413,313167505,622555624,261062178,973213072,327312500,56201777,838640798,27256065,116789882,922135658,167116290,585525370,409834532,180671629,941929440,194029881,981348536,470168818,169049639,949248555,803182918,554312037,550067259,962226158,881521878,514454254,15255960,492611715,208026466,504479369,553681771,981391614,70850243,253962440,413036223,227234892,318405782,294871312,5094009,377157778,339098422,32377339,555624420,192285486,777354708,276864234,8651590,209653074,498673805,497156124,429144614,802648006,326138982,531922725,323562457,906741401,302269423,921077832,788858278,492613703,829187309,968449474,193186826,748608301,612511521,760387975,999159174,450460171,143902818,507301652,199306022,857867198,26043779,168930178,181048493,992346597,281012009,771569052,655431543,106670504,267060691,169523044,360461580,666550409,424722584,819169889,541012736,709466377,192409521,230354518,392104663,519401720,140113606,409225640,577178657,740928336,501387159,376373984,948366015,366078451,784466729,423931329,111234821,219217298,442017735,133691805,675673342,252318313,179745972,647717759,408068442,358781164,648649975,355981891,172126140,713004331,175330501,933828881,22735789,820420542,314322736,752289981,641534257,546088561,424456971,120781032,947976700,558906522,999428364,371937091,357629777,377122899,868448179,61434205,374286420,478270702,512729462,31705283,963013678,168588829,285363403,13053810,71927829,121180713,121620039,68730610,988623163,237510432,19688737,454995240,457403883,469207434,935985351,187013479,351740068,461254745,221929577,735786757,714822057,968471472,663575475,845627953,934031625,756944584,816043547,804913447,528122377,385951944,690741363,34184887,633960331,839778496,319951885,526192181,34034976,141202508,832197737,156088688,951810415,94751249,968730466,920352279,451360918,662936542,263804611,977554912,736693519,64820343,789725966,7527990,160139329,701796456,857205580,93692880,152023705,391784388,82448441,679325593,598715486,302540995,295324435,781210339,913820301,596312402,797617039,773831676,181761495,215346836,39585869,331582982,670453167,206330460,455123197,670199697,850530762,85663600,299042447,898195524,334340242,493585836,400608547,345300840,656556222,156928545,84999832,320527436,906368981,591944920,763613707,853434713,979567972,428763138,813144647,607316218,655480494,137983575,51458205,890057688,342175191,123265745,703257766,907612371,816522445,296210123,591445418,561204915,90754866,582337724,520087789,578100215,251247209,329640413,86480908,792609633,304709024,47505186,960228053,554192028,987559207,692564399,757361052,199885868,321794513,978067179,521803938,741156864,606172754,620743038,553046788,18997327,389548889,44906582,282797353,517524849,546995292,485445179,242554365,401011110,704796703,761146593,735868278,157914180,289676715,945517992,173377977,855993964,662793810,699407766,412292421,128437859,985297569,531886083,236280385,559064456,835172486,233110169,3708506,765033976,967125697,353730643,857201067,792339690,595433695,818580559,96128863,119532653,190202692,550829687,360468632,627595048,796613824,62161591,895655258,778500701,935187448,945284864,917181945,377995330,452237408,534523926,612310511,425367337,102875129,51875025,813890505,556517589,840068639,544480794,893190121,416775537,175848771,31188513,573104595,61460804,75470072,465562719,709677039,48424949,521719482,365482480,671310905,388040490,601766641,602873061,853429919,213056060,526450032,963774318,583723779,896845796,2269049,252468999,144076620,678410678,429667684,469972896,314235413,117357464,964406724,254263986,724167753,965154224,259232339,335530799,240500950,392807355,862896669,549600586,206682987,339563802,86719201,347106601,265058247,770750247,668404506,1302834,710146653,463091504,338785345,552942903,531649421,947205023,837917477,935524784,51369298,175900171,243320090,53906707,103064926,585917522,405534173,537747202,351131740,736135647,523314813,448684839,661002186,606738893,289777473,363638512,727942886,291995589,339441712,939169892,14766695,11538415,893724060,746605776,560248052,292420216,341935251,273958093,347480008,988157651,456946966,772191256,938037438,107434455,59264509,1412577,366958711,119048317,543093730,455692189,942297579,378571216,578364541,539712166,130481846,589516871,73946440,433026240,378896190,487776439,300665697,937953080,342333569,594760321,745349413,492076070,445053551,167296825,407201005,852217234,910928006,824523780,503987484,928901826,443999300,600687159,603592115,872093260,97716006,623758232,857600726,782047047,299033898,397439298,76523667,700666028,698102902,306239488,365035878,998365535,829140590,776072265,165997176,815797309,373169059,203006103,546637349,326515286,201641629,883563390,101255312,785615572,62157233,425914784,201084312,338754009,423605622,737469188,49096139,508873041,89550379,64057218,287633385,608782147,908354699,900226239,283012632,818002079,577695851,738819514,380768743,889426305,113312602,183462870,990091472,318736220,336120134,700419549,973448103,665925106,331763740,809133672,241614740,788458132,324680122,678919336,145094424,141976011,279869582,935195597,552329571,798464396,816386821,638770925,446865613,655054562,478009436,479889820,319574280,780900242,623210025,935309130,495489452,787431851,951965550,655754496,477580840,580269070,707325191,725858698,465427862,702275427,792697225,108327737,289220038,178107251,54092192,798802845,300811173,206002245,529673902,766676481,168911559,90566062,175342467,498003489,401350015,133560733,834512606,158521994,21521843,542315922,64013406,620233383,90866410,118143683,494305119,838416744,69657109,145682026,968769286,659532096,472082115,587277305,886494973,846144339,794033486,606209853,749218231,513147722,346672921,245394218,145207274,334956082,703282032,35958445,939978533,475240302,244118342,355189224,173712017,814732270,272392005,182199750,345850727,573307790,561584501,748824517,727964513,97351620,728162551,668184771,618383624,794601287,988925042,830211680,67538047,505691619,769572284,739993950,5454470,323443370,724080686,78919114,230105437,542527526,687977992,234206836,406194093,231072487,684190202,549368485,903346305,470882842,592303633,33814667,924268184,337904102,237070675,485621425,415923114,324166410,94979200,949318106,825580051,142871654,312215101,10304307,196535439,787207220,33970901,849007875,719730762,601372916,335705646,873579088,96474664,216434804,91297251,338386842,723880361,673075959,999421373,576754794,21029531,566644208,556352230,547441190,273298476,647156109,822198117,236022289,262383570,69381420,925418353,290039063,934824645,149203821,861917893,435766839,461484261,298969804,118964298,609262461,445988105,841111434,944061356,136761534,758254115,874830416,259520996,572434377,80237153,137613057,508661901,596906063,288625518,852455550,585185988,318639366,38618940,495758611,771051908,986565100,494743622,402641661,529729126,980119887,175297976,681283390,992055996,694320940,682603420,468332395,572895670,130755835,385177459,980326328,545491748,697432787,389391314,853617496,591687230,730559996,515352452,339358372,181876507,873639601,685458095,60378683,151716532,804031254,929296874,805861511,634521568,376184587,441480147,233189354,330937499,238075567,582375507,63634045,435396649,642305663,746292732,812880526,81243520,859121868,281838235,561978072,574985577,39521568,319019055,79721561,714788452,602736952,916737450,288560714,74913038,383163458,20619999,494337542,907710667,225903719,784253078,204503260,776853189,893678739,809504488,826087543,266742820,320940660,472065965,632641423,379172935,925472029,621307016,642479569,631672797,105009695,342843046,3657261,674843539,778115923,768009317,710430408,476297389,709148378,670953081,392487760,456112714,984914467,410041816,773307486,184207706,508308726,81872751,953170244,252569377,906779193,261654788,537703084,480666618,945807470,836237623,437006516,15052906,369133355,926442180,838220221,592067183,832239613,412803475,120355233,825762129,917783535,607410638,474638640,88617320,976052548,490649132,141110987,572712600,215653652,57617493,172646307,128766755,787593049,39609334,451789129,967692130,762643792,641657192,821596331,564980981,999217600,771165193,849349519,813308134,171516977,765259346,659792232,63375530,800599387,142169528,638264627,418387494,243674477,42334750,505013259,504772946,286817315,40223755,983991858,533512389,829843367,334141387,307096248,603687225,685119941,413792952,728140537,679749184,862367694,159816315,778060195,519535952,901534093,598724129,522379160,743454577,446691266,871478715,629243115,105753523,974983961,174407029,941724876,335202142,797333148,935132209,390999439,45867411,888839692,167250547,496418167,775531055,950093449,39277141,340009971,783579683,654302854,906986237,995807077,623788955,144014188,201834783,596453959,806412645,765730179,261084986,861304315,848950676,324892812,224099933,215095843,304551796,159744427,552955473,910694406,891591884,132749487,496607857,593163343,960716923,969355375,893994172,219044883,99039714,433568248,585378588,672398866,638912695,343812858,293722892,649047214,897496735,416848980,942222214,452385489,960896243,346160497,932327570,99531099,578733304,452940817,225013567,269941509,583783852,317824248,314955605,676232120,605363914,167500525,957236163,656952502,717337601,905618038,644335463,198336793,403716423,767194663,683630389,710002945,393330327,113356052,634682377,221141422,105733829,333223050,644208839,316758182,942132587,666393027,477754373,680030421,918273517,213745713,585920670,576406784,414217584,770544890,411402260,697882424,923080893,214070769,329659785,8600408,34841030,5227776,750130888,211024655,22839326,287987524,67294957,70697461,872715679,495961757,946239955,951110700,635692265,638733275,523034547,270170060,176176685,464868997,207747432,384114607,213360192,981343103,989411978,233422641,52743857,266265581,882385364,373901795,442754959,712637475,942717089,436979741,119973885,518232031,361787235,865114612,669324901,722184178,449407700,926770376,239135421,646863344,647424430,199929780,630678664,730753813,669606316,941728093,289220509,961730804,221118303,191606279,540519488,911549861,651201851,248220506,592002144,700251091,676149078,765059241,447163597,698128332,441675287,524887240,362660747,818686551,311135748,572118866,50348120,375027109,129060903,188204331,401495535,548402737,597909772,154738593,501978247,75497922,531125509,522424763,387120410,80991319,145992817,414911864,908415508,604818991,671971133,257887476,580614800,256081929,465767796,336666592,619264450,978377566,331410846,776757454,112378559,353723463,537086039,340475233,426551119,870871743,792042357,446693688,699308152,397090404,917368509,123244638,709271821,31317846,778768114,193436130,319754581,688152158,42907572,276374555,684901691,599749199,198999352,643635748,905971109,497426910,541316160,423172950,382308075,472653752,401270869,263917611,108112938,116119988,92030357,448961697,475933273,635576191,706529205,913815188,97026737,298105391,200630330,563974127,665894228,771789930,335189091,932675460,245109190,954144590,111764029,87259038,927270956,577332967,961293261,877446777,221786662,995889637,103046914,13374837,9951030,78193920,222070476,788706335,998681924,991560456,236265923,87801365,988850730,931459995,355482124,718476829,266259213,756577433,465105046,359645455,7659797,535226398,334631435,108721311,177128296,144683452,5605871,897872379,309475626,886083578,614884048,574891095,930870716,497803592,665001558,598008696,871707146,404867185,719113143,394559664,855735751,476335461,443167010,808904222,771331144,336600897,354682543,139017524,526638542,388088256,931166137,671239029,314680981,789009685,882633555,443120402,418636548,575602291,376119951,147359313,524979928,585843505,979484570,173995122,411490488,381434216,996802045,324286182,56114924,156392706,236585398,387106833,627964805,89776524,222703108,576013674,427946340,571834139,640990276,20479070,287393434,263630620,443073543,267257563,930163418,207263299,88584343,933860925,164594583,655490408,779857460,35422972,545424208,411077519,730079621,602406179,633752343,100392185,790381015,781077979,388130139,899292607,246679037,463359007,168183311,343019612,251038146,401698784,954485658,468434864,937246231,368753760,622357520,123194228,306226315,204593728,920651185,511561748,429885517,621160493,160451437,550463504,418186155,372071083,260248888,5494280,95451107,665254658,569771685,169082994,627733508,703560845,558644009,124999435,685806424,944595738,300114459,439703411,383200646,30560137,188832866,477974859,248477500,611107312,163782526,71611869,411667841,138824377,513343085,342433968,439895397,449459063,595597073,780612645,138528734,647465383,500714889,283807455,593745869,652790020,503244154,935605403,105152606,355177408,684886492,58578783,309323166,261004854,642381128,229195082,717289808,120409039,349882190,507555872,319327843,150760517,331732418,421111333,895742259,207763607,824576537,915937807,739597646,44938763,696800601,508095499,901773323,329665174,867025050,270870520,943381448,568187532,571639427,537051746,187223660,333340328,203234869,401437601,626020633,436436405,854808964,743153565,50050625,344250320,285765006,732300026,516768804,328406692,219729883,495247959,487924416,199697640,691513803,52206199,979364501,769619673,792627237,54991797,934017793,235944992,799577557,164686674,656185153,340812523,897026370,494043493,835247913,937875022,764137132,212867171,593392606,742822058,405075918,330018085,19012513,39175933,922188877,529876284,119529634,132791624,856769245,340540352,551070169,135096531,980635837,92227989,318592562,369270415,176412454,278590522,765762163,225696387,16098896,960324187,800546140,568803513,859636975,633283170,999868021,108527470,321137211,426868186,190256050,763322258,106246438,417004030,766654439,579528639,676646021,44573347,106571229,143307583,843397445,646972455,192040006,956718742,463540838,525393499,314800375,172227552,812446416,934099741,92992272,135991901,697439443,147634296,364639915,336411246,307510484,992195291,208456570,961672896,497537435,727019600,466568334,190511341,242866514,423102815,244846636,686405830,577200419,327152894,716698405,257164338,305854396,532982082,102169837,847479456,1463516,724595824,690033865,155241340,605278974,573963099,185419309,376672571,998217133,864962329,937607000,938926840,342892469,283953964,596158941,621339421,324625489,192521687,50251134,347195544,637574060,858677971,965471889,679541469,867137991,12231743,422732257,563594320,862820743,923305171,336037442,52363561,896767714,981194847,395607533,65393263,910211722,631015918,544353662,477361151,70094985,663451520,359938172,351997405,393990740,540024070,823558602,916455075,208738565,187613650,983026112,406056892,732907413,753980017,398634150,132919179,348686279,853577402,982612353,695452351,601463683,956914494,306054210,946405828,509141333,85800210,707814336,277990868,40573923,851667830,490123087,353284481,300291260,194215100,437309786,434676994,551322104,45317912,8566484,525501348,188640616,944419377,518031303,349197502,375413130,234859288,106168944,561919233,57050827,212362707,903347756,568335685,221457297,893850586,476598572,754617776,747260956,377009558,32444232,510207118,51232386,825790409,986773371,342103945,872684265,341516595,104055475,781256631,510067989,893538312,680874835,330051498,414194225,9537288,625358849,778782154,758451953,818074709,596366998,115730375,928546471,637163471,645085995,502483758,857842705,871454449,549495247,468390062,380595794,56061279,867729794,478318160,907739766,519953633,383446543,349879651,478309078,155862074,50481308,684306874,836516087,244582643,511488353,828729109,174130139,116051796,334730746,468547629,940740626,406339184,264075255,498566052,816978621,931375284,165321962,376850347,202349298,273374401,747095341,317197240,390756102,481754064,679740924,763207086,455957681,96541121,30895441,936508598,613884776,395756905,858807495,825847630,233792634,907858246,648391728,287537715,287299385,256675259,764798013,253587483,64555099,705438811,514681865,287891596,207584478,992546403,828930743,164338242,173704530,922728997,62696677,169393577,67794467,791400223,340249134,992939015,409132802,235200548,696618389,998390251,21478345,268060698,614248441,518952245,76836983,107110025,945139664,867374185,518434943,328071955,317661597,119817732,482630315,830767917,552557989,430017755,176401823,281607352,168148672,164002698,383747428,734344972,11831573,685005062,590339725,381808394,835804854,754757989,572932384,37348917,438145139,29885359,130512541,784571007,603230196,825323092,380853543,774526196,367188519,487886529,316449540,464412600,228305629,542076333,388725457,758292653,906438411,166142311,342510148,573303577,483226232,939378657,371297594,955270910,629204003,445102069,729959664,251459111,11390805,849389094,577203722,200356904,49847588,4660955,316379197,940365548,207241759,956242498,118746087,967756565,599567019,35737964,488504269,680551297,88226899,422932269,149264479,638866420,926451147,84190583,472774837,794746507,996187962,301578632,12322883,176853066,397802237,637477921,853846808,909801890,495589689,106404951,594550643,516377894,104601394,383484810,239261252,908652911,388296339,130575885,150016599,968577081,784335442,511700456,140807577,756983509,106869192,727830224,522178760,383845795,705641930,782330882,585255942,711360056,452757102,70007627,103237576,133521689,877409364,260384557,220663215,404991986,401292750,704775188,565690084,453222842,838699590,919739834,388838909,412854860,682260286,912216964,671401135,249114555,75308912,823548990,64464154,622606058,424297936,652961301,816966743,49671577,375040470,728236001,348776007,300192796,403150955,934496527,719715101,240285357,840516745,987019640,8993223,227616323,793455557,874570293,448034759,586233370,969071200,690872480,697307806,194851897,117083801,234123297,697694032,751766756,654990531,236255227,587449596,482946765,539420237,532777052,727465759,921233759,635783396,531148478,506626906,306002554,115400598,60727943,568268633,201926561,130100084,104679676,970339027,74873134,735321803,775417333,754714327,621700221,859878566,916348489,222840659,866610098,154017673,478454727,982396664,283730058,852281777,70375151,537748221,514611239,817953204,197199106,845650,270137412,398145215,506796983,307644596,200682561,516649832,390866867,549198437,216719139,625995184,490630786,743600438,598934362,952461000,873278670,381797277,306225462,91875109,669545961,806527540,668206158,25693322,825769718,40770674,991238149,879532120,529581580,246610803,863193314,509394447,874127999,471637386,187110897,530462652,512995187,47390857,821560434,544409795,755025474,17995561,60503482,29397594,160185457,915040400,645162521,740373606,43563618,422310037,941301130,379766982,788994120,54584797,183751691,198341560,847328407,560369208,491618087,368208691,328109816,896398885,779647341,42068480,569486358,256856182,188983388,318035855,35163314,510484132,923179367,254914740,673284963,997031485,218089033,292517541,331156816,26700019,619499006,591593308,750513843,33192773,401887017,208404341,201792872,793423977,259603376,64805980,958079717,860136264,609659466,199539657,566874885,216741099,333733522,43701398,170809043,8406500,542001473,989186301,249060621,901167915,219330955,855724670,290792705,658288815,875898561,522679861,263923689,40406907,498353176,499525708,773841100,322312641,229793585,575989643,795981136,879459912,897923518,61658420,600625790,842937304,288551817,118946563,585198898,743233730,488348911,514513485,802877807,505579032,682963670,867909104,575720932,30027139,38685395,423374943,299912739,193860743,246494144,415917187,692561471,545405312,690071802,775700364,332103230,178961871,751044790,505942250,90088473,90295823,101190101,537346178,42958098,420978435,821707012,41512310,595261991,192851643,316833754,9164808,829537081,796587527,139144497,627498379,121760483,808985396,630864295,46890266,526023161,268808958,765420344,651238717,352332360,807082412,524737331,366945072,752843678,694040815,973287908,611421769,877627600,161254104,303825985,152189123,149333640,892108082,559602034,897996229,110191757,831132346,156608796,367013069,23548953,252920325,304913606,79033785,645497065,741727287,816798529,455679219,527290470,620234123,734344153,825781427,754830175,493307676,595147282,557360365,693049081,386695992,842764724,234442491,663771397,212066399,814462964,642291926,974634090,450930570,955748811,295937688,109766009,602138409,365088093,241763017,604171561,58461573,422682138,790576133,27799324,129099389,107694995,101900569,135537987,20498999,20712856,836280102,91742329,788712295,520582297,152983320,194028455,503101157,300262150,382417713,541482929,176191185,717977402,962125626,651908612,937833893,746482496,378452468,793921833,907428216,68217207,483927679,299226269,914669896,352393813,400119856,59583791,973196041,351309612,256683234,87376762,951340438,233272729,909061106,25623133,800077487,842764539,317785732,880512653,922446014,545651681,848503470,324949980,531944588,133349987,859675250,666406836,935180429,65727043,51392136,161537274,937703440,777227880,699922236,557108229,298808654,511722185,803608600,520680441,531591169,707010573,451762535,696474535,733396932,102689447,770001564,202891432,146375615,661847260,738189058,499204821,585682460,475211524,352282041,120904561,141039482,859843258,918964438,321171654,672005068,527262040,590005098,372245837,49827646,185477892,656368221,113242497,252986841,260310604,800722117,408083827,770783592,960207916,223992292,691900446,686861703,734044485,529888819,245476135,380171123,413005194,614341337,697068440,69111229,384176175,62236706,848847479,743067995,582192179,946397335,339929927,107157466,202621527,995486504,25659031,153324480,323391425,88804685,626513679,846793120,3268397,279179087,51350447,177601071,942545265,748923131,997298647,39963159,217108968,834279534,599694537,527119547,896623442,522904506,995747008,711740861,250607089,277067488,605560465,872466106,859222633,490493753,584402430,808600743,203366278,235976247,831499416,683157226,574917111,389527069,392822265,116036641,887845854,575282759,938874963,249210075,386594226,427459603,888397737,770189818,896661769,961039484,512683449,182181458,133305052,420971339,975949962,963822753,465882191,888351755,980820202,434567016,83159802,951003403,593818782,795548028,249144711,436476958,887244216,220594204,285362175,555798596,551185624,817086740,168428707,565669042,109309326,764158541,147599081,757169353,368415519,187948778,662668636,962331746,31411209,903866562,764367662,32266332,998680142,905993366,881377287,447489279,929667176,605808333,313308148,931202524,755706584,468572381,661154578,422885901,985066119,259392055,715605981,691930195,578525092,193951978,564986310,546843356,982823358,302947773,934740238,772427320,376518106,487052449,834896345,522182021,512137815,203290456,988262238,243321610,65395719,937967426,251820179,878862448,313647597,710188941,744430980,262873983,382581354,483793652,966167134,454672540,603560964,496567002,57418472,155775015,298144749,70530864,627121724,978021432,259084339,771667254,410197351,851058314,508394068,395686592,884167093,228734216,813862959,492406519,733345739,890134012,430625402,771989841,219063473,861199642,290812323,362743253,968210658,665812989,860182076,897581612,892806546,368217542,50585846,489330075,475140295,292425777,815684349,524714945,403843171,661546694,808321047,380143415,808513913,608896910,68288018,671152877,813281019,161980917,985375716,683363408,33528621,121953146,710551179,109512912,30453370,204181811,487495666,807713103,16812347,223445027,418206430,239979147,180710487,881046851,854749419,970827678,875165836,711885551,39935301,329377761,623519755,391210881,778625669,408985570,230948175,876475828,561731448,114720131,775479818,409174963,544193243,791763111,825837796,587853306,376459581,928242149,931557965,454987596,271897160,432073460,713711246,662380940,854541634,260219666,204445964,226967495,377760066,127781480,317396543,859329970,860322569,312793692,288862621,566534384,495605340,253416494,22485406,916218669,36148853,987666353,722443503,491969169,511181617,301163356,240123050,291497002,470860625,196586958,724871839,269902921,509695338,994580936,195878185,252698762,383498623,526484220,860888449,483488101,367976718,358641458,991454752,896010816,610256749,445540683,829712360,623657508,43214394,203869932,655619939,390970332,761100917,551532571,638609046,817072285,478400132,905733616,390204651,221286127,706408102,592828284,109404140,504611593,786066588,822444205,214567436,626713788,766218811,503924314,144468557,410057676,78432340,463652904,919436762,7267547,827696233,501169246,770410963,418240975,925065541,498270350,852097302,92144512,47163368,476431603,782697020,56130633,702241384,511388604,44202274,102441626,655121174,373856936,863958642,306114029,214373056,930961082,459126646,532693217,939024679,295847335,857303302,546847724,996656312,964035068,61155429,874163837,967738396,462870825,749609417,976936072,293001686,922925001,933320893,120586264,969569606,370196895,550987575,700558445,737509686,913120696,980661687,351857235,657524423,879095665,712044116,421189749,961376020,197674601,332444503,29268879,548769473,841416900,365897362,304006658,994424024,681744639,852423799,692725492,650071634,353598672,582734445,59112425,167662921,556817956,951552368,149448561,285223431,336031973,735958317,187328065,694696467,550556455,539451632,818019469,322852472,539982498,441909878,249743032,649083201,239320146,822368152,256066142,810415292,600706487,356783213,137975220,823759932,237654746,819316343,523287383,683761280,518493081,458671312,935424461,303712075,813055887,796547080,424753129,433938372,413497422,706650821,384266408,382194283,244454367,779684575,519278024,696073833,800308633,145205148,242069381,962596183,799265584,157646502,133955185,34225419,904303175,413030071,556497231,211919791,669420893,291968135,847619445,213634913,172223040,518789313,271617852,688275349,774809343,266405182,384591280,932600535,76918990,294536932,102204115,805782558,472153789,773089799,796691033,238203420,984770197,381463597,294395489,236231500,884748462,999181679,551274047,29066335,679596976,426214477,710576411,473669405,710823549,933716672,481888016,215651816,922656198,813551400,861580839,679976137,896932601,525367858,251554773,740223814,417000211,977382053,856353099,826231075,206181023,712235123,752101838,415073546,764329435,919677405,199724673,10266011,184051679,533291145,306317256,15832081,19002639,340242785,934737897,728945572,737830033,544671398,511706922,363857603,394512149,294677095,845622480,875275261,197131912,219904494,517737234,561588125,878429394,573126199,300426930,223176198,488304644,985860245,811079253,775061071,95537550,11461466,329019433,35548906,707846081,339468059,899312108,670291070,564042697,631733792,85895521,350174517,602868888,483445557,329421764,791188720,628580633,84513481,776585214,410105813,894426827,166923388,563432259,258635461,583766384,352431406,114625381,253379166,789903333,773335597,530638740,754959445,287419732,245298125,406323121,329318066,152865065,790757089,774611428,262519327,226307566,751792949,573534881,318011362,268081259,79602833,397690184,559537131,251267124,790626568,343718614,747530913,281917551,714994147,704179829,256859237,994808626,559804099,587082266,719203955,542321112,564055583,125244477,778785985,26863704,817747752,481096483,515528217,284514308,681917482,462236281,372210690,893631536,528653705,828005134,439970808,366886743,790853343,857438457,39898329,889485297,299017624,968749646,219996524,488772580,247897050,664474829,744579916,551212016,273711854,164391024,480973094,295503984,749297848,521190829,215699547,740122570,862406838,580459008,516780202,157946400,547922722,771719944,66350978,368882925,153998828,208985844,833489372,809821021,767027687,846278204,939448353,878823205,5353537,92853765,93543950,755099266,24607469,456326230,135381382,581079985,421883520,268672369,415778603,776936203,933568578,620078526,498973700,402542391,408132709,208397700,864141877,662819293,447004243,287624088,185247212,909228233,451971606,366480460,827115342,796611427,437630325,752279854,773006887,513489028,903549507,718670909,666242890,769190443,79358299,346866669,420138557,643385097,256708654,326869611,984292668,994609407,91761327,917864072,719861185,937640167,362576759,379394941,792557224,730437679,554015363,699935169,43380670,126421303,446890186,420050502,147567534,152443587,526024500,448306614,781029867,71334941,531653875,930150246,276504212,391699558,102753666,272924101,211971299,472376751,365339686,796184871,396912492,521507250,980033572,341261891,492433306,994072857,196988021,154933582,132454670,153156669,516666071,188259256,318537751,832983449,183180283,348724839,123939559,240269660,671374486,670329580,109005998,638784625,168146428,593962710,797316704,972163843,123698364,332329826,319797197,551582880,480910230,219603972,58630968,669058279,879345297,926679278,748969192,331839551,942225758,820532041,81975577,896183107,320076347,535755276,166574183,646395998,267453749,627210047,491938561,179327004,901105616,332346054,265224077,417623325,948516376,130227618,62626809,853257867,449278164,470878471,101896365,181047309,620674919,923145329,523616717,681166080,925437187,411317826,310190975,45054023,458322376,242937382,341746628,541523510,159242023,536955164,345091432,707944153,428880969,61820856,907614502,610998302,969622216,708436587,284362469,399773050,120345577,163885348,63810671,643978311,933493090,623411637,269405142,522485355,581135279,477248287,837641582,432587184,210967815,193787924,980477485,999340608,559822950,568570895,679690966,817412484,739194430,837943024,996090892,689181481,752396295,616741775,799163500,213113822,885530390,556286291,972012262,690437318,276517027,648166940,454266724,546599173,70806194,260179687,797380664,91815707,275575120,493206352,271592680,138993624,800066480,172560588,682598259,52549243,248816778,219497863,486188312,616014162,595066904,774917782,193164329,466245873,773489672,49677799,393598007,130941553,294017382,599837450,600174737,419473709,800093447,146398794,221862802,115477655,874630146,945090957,984729159,737371630,407764031,107395658,770456863,165488265,125237298,729001975,733689657,895392660,873182777,457470011,54519899,81174309,877917475,580680533,114700810,232451205,893903274,140671826,944809029,211349171,209602159,30899679,195346577,558482715,705102692,205482411,988031701,492234574,278736646,489121534,380802867,968077799,591605627,695678589,257451706,166097982,709852710,534426192,735396168,565822587,668130671,667183151,302838634,771092163,977912341,922106281,711075598,490569517,324611600,864172701,973971862,264537924,494449240,914053625,359936709,997679405,96848986,357084425,946675465,477374592,80245409,486634846,16766509,178172184,764963973,226597971,515711325,514907545,853630161,153520727,492410530,20739920,890789966,501098408,749287354,669032557,316218600,227778411,352452378,388363135,203335386,570118496,233793898,340745049,593750139,215010279,629545653,587836558,773418104,291906682,833810625,896710719,738310296,964405146,567370034,75089973,580549066,223017896,125113636,225348481,152529636,796502886,559716296,2222269,132566944,865913789,134394174,269348648,400426130,617319114,882800692,889849041,211853210,80486080,263819895,574165112,270184220,839342925,563051107,332244023,798887623,305958482,457869145,895283237,458289441,975812363,917028200,410538450,282707901,12030940,636379190,770184073,381047912,744124991,322632216,70936069,819271669,897812537,297466135,505381010,509359685,185892060,578666497,583701353,399095640,268958728,86670985,112770388,294777865,175820256,767881892,223753451,725303232,126169511,231929192,289982983,695571312,551103075,139489389,134246638,16460073,155237454,998532506,404183891,782990240,185699880,638841387,122230407,644400303,104282199,192822721,448445164,878640635,388075775,386278677,626875132,222866530,413333070,964303501,128160185,516322720,324502458,696198787,635755290,73198684,20970567,806278601,642646214,422818264,703358271,226329391,645426755,706569030,533556446,36127794,688158289,717717696,720353671,285298676,660840993,486699597,249452758,253894938,99922323,443052312,329931885,128552456,346543509,383161337,679345517,718354571,104035849,318442168,605144710,632992537,992462693,911055492,437340596,251988060,513245953,116722268,94278331,4296564,655783790,585753148,202374858,867532748,745197883,638989246,675127021,845956304,752971272,471136199,388743258,928961709,432160143,852004265,738573704,687584393,917478399,581609550,862201927,230218639,125022592,53432964,171085346,359182694,593781794,442701106,675832293,328065314,850598875,788276208,28235250,498195705,165715245,436019611,468183632,156476707,992442842,346119894,543163167,963343597,875767689,486243289,394379451,451299435,561964427,822460608,943054869,809187016,643075819,530964793,522275597,165030019,268042364,35130547,911383724,56668181,991982055,355910513,433034299,84186695,816810798,193081739,999531861,7667839,553669564,235040730,167679886,246668294,983449860,628699349,300947189,413383936,61752514,450673969,656650164,259065573,747506276,932364798,395040892,709370188,893361798,423817546,427680144,386563780,662631997,357427275,721000558,954658615,41010602,141500226,111598960,978754862,122886065,54908717,626615728,748350909,449067253,675511338,667172974,120479113,281284923,996845583,744953143,351568982,854245614,183948898,946321469,715649457,862649430,944557543,180462372,317159030,64383304,689339549,778930311,961728511,367683508,280071935,223167784,774352192,980417749,765868351,220458526,329073876,933916996,478636996,29270526,641989580,339608168,478486647,518125030,310409803,519822096,702799253,209765417,216468950,529181985,363176620,825155402,597897583,294755383,992038850,456530831,352301019,92974336,750291000,773724598,249276123,663284095,426964751,623227601,851401743,965523968,833507438,644373089,201559426,503726864,218978319,45044194,624622217,846744854,448288429,439326916,289919036,106214901,877973184,398013301,105412462,592433358,495720875,416934512,142918608,112513779,205053927,962237786,143588995,900496223,771700798,920239004,188322652,360933493,951501412,442901666,247589695,907861601,441692331,223801429,617060424,977440136,353803807,498025320,584186765,35682688,411230757,918913281,909671649,814677533,381065813,785486562,570347964,837659306,158808211,837321122,749014283,694580733,998475286,189906478,351568128,524922822,524166563,972438552,613498827,749570717,131756808,687499688,633895985,69976946,963890141,894000711,118909168,173422419,983500190,761403340,183362071,328241286,942405600,303267976,925272324,900241925,670757519,656540170,276561463,326712656,336837618,477459249,914293526,535947995,349338377,843745600,687363750,447408319,984372132,586919004,182066373,462723750,22872947,577227527,348151056,977264946,166931403,652541759,178514674,72487560,39901528,362915499,957589049,378586079,159331652,564994925,227812999,777232632,838140481,543184493,52076992,895701,981490615,646924103,61657228,719040791,655105741,843883901,589584547,287291299,994674140,441878332,787553934,222176606,241842962,63200767,671898328,284159658,141605787,496699656,723789705,327045112,540660107,741815534,170510038,348119969,53328802,645702221,734664904,264977334,576307572,313726919,35196688,95551387,854125934,636699947,210356234,867269240,901870048,855396188,338956692,401997432,25967920,69316581,113645370,820689430,973553693,711752511,795562426,288654896,239474062,492311617,108695744,456434274,700386211,866693390,677160770,727066391,328415347,225395586,560205534,58180139,479459501,221041539,810635555,381809670,204752422,67110934,146743552,195211028,276119066,935121482,665931915,328594844,36491200,640268046,185755509,776279469,783898079,724547407,660982540,115162069,529071803,244953709,117032672,219257407,566451240,660863408,499935440,468344459,82620887,944609109,218244955,32283990,3207286,947764773,909240766,937055611,734149398,271877098,490404546,211734652,20024230,372545904,519031231,767166124,966550809,227315980,155700295,311904303,184894297,259739853,688342636,701535987,112047754,456278218,114132524,215171595,45989576,335534291,363443926,494129232,335409663,101247308,167261650,42762182,55352506,11764276,556445915,679920194,866499751,6991811,184654273,542653730,841948541,177315823,918694704,27249612,269849091,489052604,196855267,867127973,761425860,942094338,620558416,152237381,529605906,328031377,9218698,891162852,305803192,305087356,61901359,496422745,382710807,19143006,812579371,801617161,906854680,214305178,986399988,349988483,470172702,905817944,131710881,167648804,841778880,192159101,827547703,634913802,967383307,274745823,589322372,363260351,747943926,675275635,834583262,718312420,182474047,143104522,757926346,313333695,322883359,705422516,167305014,666567468,404011475,724539797,688904814,310898074,814934513,449855024,806543590,673497337,774739108,589278564,692617398,323523308,472949518,643629624,667358645,525307255,737074954,771960162,986184023,422094352,468520228,576571461,311231604,404982617,69880918,629568850,865200689,337373929,295412461,588033030,703252432,435417875,295581366,507723282,942775208,645611423,267860760,15337383,943760025,736493088,30780639,936817749,789295913,47224596,88597360,499846292,639439694,71247674,9992788,660660445,631160257,620239,555834644,485398529,103539004,369882946,624334025,924095222,921020984,176466465,100747493,247487155,715895679,62535495,552321402,822375464,203651681,442988171,345938539,754602971,927572096,772219944,404169830,101102230,446258164,625477800,669049923,830459510,112061175,577656212,804010017,440257220,289858339,786790378,663236701,604311798,275413207,708999955,189262728,283164009,275115922,334377355,997591831,385629393,656681007,847042014,641416831,932119109,360300013,993611935,556818239,952590781,510242946,583792067,490562526,275366315,697994737,215278485,172157343,460293635,886102411,53594931,2489252,500899515,214183283,958559677,157260586,470112862,587280712,865876352,856925326,397371046,562547650,231169480,40433049,626853753,625118291,378078233,430376597,639294788,992776848,52368936,804346912,861757127,716344018,820196419,8057324,456688345,850770653,529308949,24207663,453596898,813133511,757022390,74050225,292005482,204194272,883760801,311561543,958553838,80214820,527810997,832427278,562603227,765505956,375892105,986725482,811819208,158003462,240557182,733880901,512200588,355374891,819124938,27697807,774056067,698118340,904095150,511156198,209818731,621748190,118002313,804792089,127477,739895643,302361061,735419365,654879508,153380045,661473308,588658090,442817478,173223184,476070823,710347085,932386818,874021515,654240874,124352018,791842805,216754846,801807082,29830412,158108668,164197588,581350769,678767497,190971568,224094116,271378264,428583404,518816805,870195492,810751924,286694744,778479655,407059249,360759585,98757688,305698230,545415962,735518958,727176495,437903066,786063860,530028914,559418000,28947898,508567703,191578528,10474009,220819554,557278379,594971083,904017047,828921725,706430420,874891376,27526912,542553184,527113732,241406420,616254952,577109508,262741913,223137581,656866375,249564534,112613371,787605116,126614585,955827486,370447122,278639425,484329,426287230,622559892,646025601,460921293,690776279,491330254,124045605,681548016,819001323,20057659,638674020,497917072,235768359,467115818,206149435,156892351,766546038,996541093,129463523,884284834,935306796,431565773,500681550,261792861,753291082,948301176,268035519,163106294,916948628,354898974,219933438,236592294,693006256,188285530,206355267,178978202,884206349,69687580,985795894,331610062,111664829,416817188,377402297,299442172,344890482,696229612,263360782,996625339,221474509,297995066,595769889,208042473,410470680,500515397,499989380,706669129,814985458,759077123,263493292,699170037,631339993,253633610,673192124,675153141,874958993,37008724,711343196,613401322,852648143,600678990,192394648,51380980,829820044,894915171,847149398,860985105,605447682,142829439,20193112,398855510,410702835,806976249,502955234,489964236,998431646,920991916,139015393,636790415,978489841,749580590,243184338,112588051,425231137,510066260,731698381,889502629,242625057,657241337,526938482,176143480,312508964,478147944,392967815,61867452,738099801,806995199,28148513,334041363,526994652,549523512,997330143,647203687,590394654,318388976,762861552,664472564,219924447,332483135,478404589,454506275,555239576,611009977,664994653,565399650,550644317,651817697,990580966,872172148,778173761,127493417,946517596,971821630,991518081,484533600,873710238,768278376,610970377,444471745,802122109,289559545,53692899,84198386,88979806,967806712,206892122,75939707,755808621,248474676,436137086,891079738,811733611,744072298,32439052,548305781,283647264,55200538,724422252,800358284,531016959,501470485,935251647,830909481,892557521,273232579,575399940,913241549,992301788,771887932,969566616,300056777,33027736,975420829,841222812,572343830,346788874,721287826,294625586,604646283,780128537,392076861,139362064,250657742,870803342,309935086,376093361,245163505,170388143,816448783,340979164,554358651,371377783,465152588,908135407,494658147,121791944,645611620,582822942,818214185,134241336,353206920,343114124,326255233,649106459,489165018,233153938,685605118,211485005,447450089,285024179,195241537,565056018,246324474,132907079,731327708,176019591,219547312,632887307,775792115,95889334,617462687,118422240,881714259,359904982,534443588,361941965,601011066,19152667,953768602,385249628,339896257,939834422,601880479,40700547,323048022,957326118,805975658,727097429,912537037,79310161,888873514,236679939,144834296,555877519,258273497,117582904,983278122,595211525,945227383,907062005,395049156,820361411,493387429,588956513,39714758,601891195,450393111,813911734,661918883,139466027,359814867,263450008,213494868,395076209,223693248,994099272,308686372,362186690,187179680,484417252,441646315,502952031,288255039,337438545,38857252,11799186,712908756,50904556,69639046,155995327,96157440,635963592,371780164,37520382,443480608,710939489,759085732,906222952,140007168,838758451,493094423,853477895,793640028,253765299,129229440,607351012,535035005,923353901,355140445,955579327,496811034,301502339,840610700,219380006,100220383,646030967,301643694,504969823,366188601,949179021,312511339,468984024,478105334,278045498,395881531,694835154,101712731,737040035,99905163,267056637,601786518,136249352,228647165,76088369,308669737,274645567,76231167,650842107,177273533,390541831,315853188,458698482,862432231,651299469,772351625,496172954,434273998,623443386,407681939,460978329,472032575,578294801,951734031,814997775,121899461,531317607,987058322,232519090,982546151,920045591,140511203,755837030,701754928,802310336,672168874,99741713,261312495,264869930,336371467,753080039,937520766,138934044,332960014,743445692,139055284,494595886,335395673,519169752,603537709,914846993,754532808,384628026,204867798,356837423,362795446,933100334,468106281,562887088,832500809,984723757,309292029,302777636,762940997,859182498,463467917,105321213,54985471,839279794,263374397,107429858,972148947,922410684,660763770,844363642,456461716,439363063,770433373,1417753,96317378,720084812,662508277,824171486,107475608,701768363,249390976,669283116,586425300,702342692,243790459,245960695,656946889,744763795,661193474,803720756,649770505,213887785,41089897,797862045,273588905,217114848,357889603,127756619,188937683,917491244,464365607,976448096,701516983,302462356,57602382,645130507,675469545,858621811,819486668,750634579,196530735,570863568,261871813,286548526,441157270,371153461,443277117,563537775,363696273,494551943,939506113,692882022,320427364,204599404,655916406,879950460,108348520,871580316,633618504,896359204,679702914,448350085,207275270,919654100,982626997,52329222,636235147,221223082,326059345,404316320,757495426,134140786,863715451,25201970,631359077,161453992,427546327,103466596,785678344,711293690,31536692,270984375,212341308,883885024,299622932,438504416,238473964,32935297,359080417,254612763,182411867,314556471,288722054,400619833,405171111,557603721,801636532,328343224,141141921,271952298,988934438,577375719,624587101,769860801,819329174,632820525,637881046,242326192,598341118,699040149,685705025,581449529,18602552,171407868,691266286,722576152,562897587,679172454,383661719,176029747,299774287,720594048,189866900,3984142,512905887,791918569,509950363,508852782,339852949,973192598,834715119,403450280,25584717,686904464,767084432,24396485,42434761,90138536,286760949,912593686,59814451,138347163,19201776,420863997,714522176,241866978,456230245,4528682,517250456,854467403,765724934,556372603,709702275,443864959,410318209,550877613,253107307,680346108,248150350,640762850,135451228,907722613,399661689,748150228,117177457,440750283,673876283,188648874,172568866,230438631,746940000,118842486,224081645,741016444,968345642,963670447,415519105,89169867,887685073,744356177,920055415,246619445,891571441,348138997,315720491,341695393,582932781,230597498,810390489,714609552,825865668,896556045,767326619,437688846,135498886,168422509,235823186,956796056,160416668,533704085,59903191,916076026,585551355,204320993,189501701,164473007,854246696,564102667,202538389,553226576,155902965,231103295,290075301,797898168,553018877,406020713,109054901,104504049,816557830,831468947,708315999,802406183,418204134,891692840,786748545,771824375,238944438,818080487,402621486,496172317,542110697,143321570,337569097,463361946,999107757,461559300,506390479,562547167,861648039,386466507,166634189,969173429,209377606,50763384,532913236,88577727,33809533,657342657,777676882,6401302,41984805,451605115,525041225,698687170,887666480,841538404,443886390,421539125,932434209,255025236,57063758,212549696,220241061,558250560,756442511,956202486,705850527,502128718,722600006,26665731,301194501,893771741,17536631,194166516,265265083,173725555,648339216,346697943,603537529,844452241,265232685,328970815,933677449,19404256,956411069,527982430,22041086,142709929,693468734,351748984,552648273,588417636,382972484,765775291,52497928,453675760,631800592,256564591,300127942,972099832,309874812,223682015,690792026,342795520,556531897,836635526,439368379,21649523,467709699,806958719,241996791,515663175,39325315,830342504,726913695,690841957,457918223,880904737,549589852,612413421,475321702,322765138,147471558,886896445,798388500,298413844,546376948,210589724,389892434,620127692,28363001,742750505,614452928,74742464,999315754,570207098,114397329,774393905,136187306,275515992,776296003,2864113,711334087,262286133,306959544,18516733,437230890,640221503,486969561,433991256,516741707,980973944,146334787,44797735,994651776,50221544,91798450,304522266,157948551,353186649,98892189,64362155,132907984,461130008,17075932,878446764,570523433,457457680,895598755,374559411,903312440,429577018,525323712,152819652,432330364,193109046,109800758,848466094,909911386,962875284,619017693,890625699,565335848,126844206,916804286,379769066,136778820,17857559,624946121,260161453,464055999,113734199,148861681,239178161,539977570,468346890,779485957,217827913,738904037,109009094,193259237,209371104,104284876,994714651,69807734,237140423,795626915,470350423,621758541,8003794,911530840,176935074,913807547,582411415,751265917,989451829,197998463,8317038,599474465,279199919,487323218,21386752,936271012,23042345,376027103,421118601,768640274,184239161,157866672,628673029,659279293,591145005,58312144,420843028,763862992,571713235,911460944,694001543,594082542,383030232,792502732,572771185,403347361,252904736,706213094,92262739,645273186,323358538,614295601,967331890,214391285,499410179,889866767,15502582,587425995,163077395,740023846,33168729,204529541,410459690,39360683,205902288,261178856,573498091,677668637,833560110,272759826,781930829,882654392,319579828,203413948,725664625,526328245,180604572,886568902,852119305,348417880,768560433,581082098,746185909,145021289,844105775,582296634,212463008,80871768,828284303,524540516,337809383,273883655,13090504,211394396,944261926,78498162,47024161,109673128,42598639,29547248,311918130,400464295,445507337,22727708,666047420,452000946,185098222,434951807,372389615,434857591,992786030,634432553,60308056,906952631,277194079,659043672,763175007,477211565,362902436,756246484,369104895,723673851,157404699,738120182,999387121,329654278,963098152,406351880,544915269,879079838,932976359,478384699,752794669,951450797,267733394,935553427,397002660,557606834,444705668,650315692,74763654,810107730,11810701,131683672,479213397,633700557,783052714,237451712,998578604,23714871,586686638,260773767,402721708,397571405,872559166,333605832,976721352,887262991,26786076,565267798,517120720,842483579,175200806,685113315,186883802,27939032,129089384,418926634,876846466,438868506,62843661,606423792,569434867,725475205,256412494,1339948,718399109,577414596,967657410,164704622,246769505,563788533,338213641,887013994,595802577,605322210,16422056,380118947,451100359,648441431,705243318,819715230,625282049,555234838,566455098,175648281,493591835,739003271,602610139,506208292,907265212,415666079,213661953,59107965,761951793,255184265,473043218,852885030,145489181,502576969,796183292,22207498,115736872,704584424,319370084,154849744,174166910,273547898,638232869,192004621,611892830,872176572,602220690,300759799,821896943,349249622,856194353,424656517,228176179,511850408,311455871,250131351,897075604,869609614,649018761,595984422,887175282,588084682,8811775,578977043,762894983,202618649,488865500,447747209,509010545,825193593,273744241,499146846,147255257,45725285,86545108,572755715,297431453,94722824,378944715,779477956,977181830,435713357,577050463,142378245,679207691,362576227,877529158,487468658,801732091,14128923,398076287,117690076,658395878,196556255,599437958,942091884,435917417,177244239,763635195,47209859,548917447,221810682,644590859,842781373,304754915,875857566,168782272,809599609,855536254,687706729,929073658,228058790,118953571,663284928,935480625,273278755,92069202,218633529,923215189,134018078,168877088,812529636,434819979,430082965,860505636,820381237,409303894,434323284,665013721,647861575,746981751,429484365,890581277,479444956,497844347,90267805,419228046,514766174,346480837,408025143,587179290,524423163,214190250,97583272,992493680,559539842,171375888,378820084,47206471,579527851,356068260,162699553,441525836,438658777,153650270,618447193,242078095,101081467,139084962,554790883,30625269,746796880,929976901,590111786,726979268,600286405,154538076,334112403,696532337,1077015,618521238,695196842,869541730,378717921,748062712,126253823,782811046,291873211,277453099,778938695,846283566,935221786,209042564,730033820,755437777,218112551,409481901,368484037,896162187,536195631,932579581,558011253,110910120,381251541,699269212,798456558,887406129,842215228,643152261,767109372,26762558,497813620,998342961,382414263,606090593,157268542,879097191,212746217,977819610,125573414,178718049,177997110,584705337,477159193,669001614,25041540,174643978,760107346,992674848,779220743,827550477,978249947,390220975,329848185,918869414,592560505,860747249,107762257,898690241,807914501,514767281,507008176,329101999,779334267,400044936,762993047,369514973,295382622,892268415,481738056,517877701,825338825,970696129,668864083,593155499,382218773,812127623,838783189,51322216,385900355,762510790,349934365,208324328,699119185,780516503,643235373,219751442,687312596,441587503,396550978,401276436,381831681,406209023,589705358,288906247,74987055,414927852,934748697,909116694,706654917,212542034,716505783,147041000,371844038,38896367,443169252,234812857,716954362,945941011,537070895,498004912,729989546,462645041,811747484,850933087,218968896,376537858,289037058,657083837,874004972,17678804,439065922,637197974,3430469,424829115,385124487,431650963,750032551,445471856,414463000,657277426,356836194,693648341,500245352,995509877,763517870,642651086,325030865,85166635,884532587,921232590,816674057,37582465,782690727,608399503,602167210,378834005,888391837,367475510,113495717,70990586,348112483,125840684,226707321,264584017,827046332,709982105,453627211,307123827,959009945,593170069,96725357,460833174,876021010,577282566,881534381,322033030,699104063,571250404,308070503,870012640,687311003,280032042,432999299,85326454,242481354,222377979,902143893,947209039,226025946,740943849,413226785,799931928,66938196,726785487,507093729,50330490,129662188,376451399,995681940,225737484,393751056,721231554,803229382,53194261,359775605,187634186,946745313,573527133,234167251,149972314,488966889,833931935,178881112,361362022,910509140,604868478,555268623,593821293,706641164,126389386,194151412,316328656,141709613,886665858,252139757,208463176,159376730,172124186,940854926,783926630,692332734,379943196,830330795,304555320,185795500,365223336,245155436,262885216,293102674,130281234,203447665,562322487,227468982,393666365,925215790,569163533,811120920,794309094,933802469,255339696,984129773,92450081,178348046,206563091,639447306,698080218,232540253,862062096,297483934,68184301,295146476,717600998,187765279,697970541,240889913,904184012,54504519,373807650,860523204,974813891,561852923,247270914,630327673,416836525,80840158,121609071,726835292,617984446,663909321,940017907,926253781,957969212,288669252,599379374,590585063,500792025,466011950,333883191,140540858,336674347,190345724,495947866,100176728,725467764,428906362,535729055,690857381,648858391,277548172,489841941,608757268,87794427,289734714,830969769,114107720,684968894,632499617,702206203,691109888,320889185,105253442,892882482,474291687,430830526,76971150,229508241,102343427,244140534,423376506,801613087,52775791,754726978,790072357,323651834,53314129,438667195,127866193,277422155,615801550,856384450,776902459,690077440,825054819,316188158,902852027,458792737,281490613,785462375,139675566,475083866,189682146,875289467,358185787,472984899,168152706,788004676,820428316,30549218,742463350,64428483,535316292,844229717,793912811,265412523,325971711,193405244,731144498,618429665,431879052,670584997,85261190,49373171,322266377,198465669,516826100,976106893,42217512,613929403,858774041,894803222,724168447,657443080,8549236,978124950,120661605,807395005,672062728,709755617,261193647,296548783,203123004,504684198,334158949,864028422,553033197,521966681,755842938,40405558,249566408,956040895,301564371,711247279,973468664,195023617,826941170,626914912,150502118,734858361,848662108,971330240,640882190,112871512,648790913,615987317,50702464,530775375,477931469,707875726,893731086,178075012,165545679,642285660,388651697,438300870,236067937,56816092,785397543,443965139,989269367,616277246,75278980,126532845,926765690,626462706,598311855,869233220,853131085,804389425,656688688,109817009,600432081,599560689,434330119,779358934,295525051,920579721,30995226,16916323,474383938,800516684,357607748,224956907,539294734,269766333,924926124,289684125,721706655,592687393,262491814,620485728,986498372,811342203,942261199,521214733,810647242,674064415,818029961,595677740,311547868,923030159,351456885,688740836,774014713,797582285,478247387,591340244,755418935,897657197,506693486,582265111,559838698,654491284,434276207,798263097,321536352,902745552,81909663,936937521,259355636,448503640,457740945,357035933,692526813,987694171,534600756,960623936,115888894,142863996,449635102,627842560,435103563,474934184,760437029,230260823,806614654,807708581,110411393,745384073,933731448,369646761,48531489,931146132,775640600,267345028,748291616,154764042,375562743,241470447,383894039,400338625,29903072,812454682,148278695,364175193,798776791,287827740,334542537,593396647,905932382,457747836,962155740,164515226,499299774,10015436,245931565,574006352,467196920,768901285,37760066,97072574,521029010,373748848,821454127,875240346,245342105,63575657,474122588,121214152,868235779,657183686,636770791,769344889,250421193,141349788,765707389,128158924,612234819,818397609,24511623,822562094,440456789,895510955,9852750,272556396,134687882,291163696,699958793,403743063,582033450,778734654,855697418,822636123,559309785,613673088,530519247,361042535,654444923,385904039,813297910,327235979,663838153,862197552,76449585,746779492,595223212,915070646,292723065,290775395,136050207,460140376,573988458,187493232,902871375,376997800,499235627,385152915,103668745,430454858,657863577,871647105,820996673,152039939,195987833,850759059,103425373,28922318,782340232,86388842,394632127,639789004,445875127,317388769,901144152,382517655,232949995,601269323,15122119,602635409,78252711,928822088,202016537,633082032,759458272,594645445,356842775,448984395,632264083,506098044,799766645,609019447,436875542,11462047,450733516,388540604,829753356,656089699,31084687,144536964,443874235,340787093,935330707,603735350,910810757,168344420,726527562,171976590,59046835,406506808,525606008,506691831,716383001,538170404,413143454,213388101,98247690,992759579,490271333,918411787,526374372,940147736,766306993,713206084,743670964,750412230,277621893,344601845,366514256,997462810,256359791,734856725,888005153,719730498,120070092,688612218,84080888,424060456,898273861,489469483,752240169,186313744,68568845,262165198,53938886,720316277,409102370,565431354,394532930,148940016,655242533,929726820,41376044,147170680,528204629,154595305,382545790,372671388,857192753,157354419,805913869,356679461,137117749,954324332,633788176,890445467,966729177,310954147,833773720,385693265,352529007,618213465,555662053,955972217,883118486,110340268,38034790,505708672,492246932,506276202,919693487,466178246,189215483,524639535,463247069,337810951,537479891,966961776,40780969,37336322,584694795,72893337,496182853,869752069,788278183,970657378,702029676,629773316,363278252,433079866,897744332,558940849,922387927,279017001,431411072,308011163,497512105,837328666,931283917,518541395,945170885,707387622,944479722,17919600,676711445,808533238,917457309,207936015,386391548,937017153,167137303,165274266,354649645,380128564,84517066,61768415,590658030,591665903,142058042,846153906,396890871,598712122,421092537,263014535,983425634,236845330,440640793,234615804,439856261,665496335,950727179,692405443,380543272,537250421,31996142,275088422,537353452,656240893,969985886,906230904,245803351,306937369,521679754,44300624,35528998,685932336,179382193,14347865,593127450,697491830,99425465,611447134,425919262,899351158,608115415,236959650,768071992,956428306,334818441,751663353,158841298,734432078,819525906,888504659,900381749,777540623,217224703,104447426,116054724,227342584,46276759,913151203,497687583,677403,160302570,768080248,127776183,28797918,116240180,301356089,460336715,78527329,524578260,692812458,121250876,568173438,738156583,233522775,599987478,820907947,799060974,838910971,30140179,918448559,849500990,113528562,374797795,695655578,746918688,385732829,910338706,249915200,30394365,626664496,11659149,457890061,740736119,407306161,265813560,598145488,562342082,816786296,851418824,154915299,228344323,808184250,56838203,705213790,326212626,422325556,22950164,677703694,3019282,451457497,974158612,408762295,784694852,712255448,299676204,924756691,728134740,642135287,210597931,883124389,924965957,783258697,71595694,727250118,467148416,125740707,479113347,316869714,30717866,982118842,489343847,977044589,119090510,307708818,625696004,23530062,443996739,162687358,659550591,710837783,878025368,188719872,637595529,528842839,192714305,937200855,540728922,673050154,734087360,325145565,784736664,579582576,763008528,373032337,578043323,599812887,325340862,274066433,31308094,129362893,858883932,344683035,587516760,53228499,383013525,120737840,487736954,695690415,119606250,588458258,408950274,749944463,622718322,461477205,713612938,174632056,70299054,591029812,200768712,805928948,632231372,564620915,573507717,226554701,184473955,399735244,7223393,949361599,112776749,410374285,893618674,908472643,375269081,134059671,16600084,861601781,245690502,464729641,962046502,445583539,744829353,506453651,863520462,56855334,881706238,950703026,916537396,261443106,104913796,290677616,685782818,874577268,94710204,299599267,674519200,346186234,909969009,235984718,484795850,578015525,717635958,232887365,323462094,521291367,285207051,278346037,953498883,883504890,616006254,203669814,531358179,855634523,235025580,705131314,246123860,240663489,350951470,38681221,770100540,133258713,802526501,387935237,615222342,875499077,845947402,485291492,43618225,401321593,853793018,208479109,790935798,511665169,56664604,363864836,267890696,274599221,582653669,585416240,126508837,367025832,274113841,673064395,714186880,688936050,89279536,267119390,542822265,106001723,30662879,769586747,886480502,440506889,911833553,300723781,78486651,831809276,128510119,431851907,289528963,138644244,757891627,648566083,295045003,293589568,88629454,304933013,521221527,446040659,97129190,329619277,372011983,486349528,928180901,259454053,371389147,495444298,474558742,420543219,767700737,280369292,331061750,460939722,106672120,43620907,548248447,102628085,497380929,865733651,114849146,572758714,13577351,975629584,29523472,883077939,158868632,300722618,685460150,986158379,47564819,139705909,939469952,362391155,464598163,79363692,983580727,351350179,307674682,386970754,245108838,50234617,235068712,509594566,258167014,596064130,828050299,491944781,460041950,839141334,856806323,665188007,623432512,869189487,97842526,943622895,324381850,640036930,835397391,209892214,758033562,470769723,726013237,900063986,106894372,906893238,120825864,836945311,981549454,428904988,929308913,291702381,756338381,309548644,812450990,504109998,810125681,653369839,272557886,246887379,713046433,301325067,639354785,158503068,459516842,856074168,878204054,36557164,360834290,746496195,222289435,916750059,929237605,260534918,454325284,487492004,367828863,842001647,913021341,329741659,789779145,189750510,977519230,208409728,767607703,167659925,855883328,546580728,58874333,95628512,81751841,43801027,244823849,421706868,689197966,843929874,812199386,287995818,875217883,827259568,24790200,991884476,541682905,952531414,96677249,117916622,883011830,860020903,847643064,158521955,205587302,838529161,162888620,681789504,664261695,522810810,998448385,220613870,308088518,560054332,178877802,725840018,456215807,847476751,238085923,182248870,985172964,783711673,361328101,716461129,477774976,417413864,373145342,17150855,43509979,274627562,554792502,893356104,559075715,135343297,873183618,445273288,569469879,245873584,363363981,834943680,347605172,872968365,527869044,694815665,153125420,637355791,896939249,915728807,27444900,922033563,921855882,277301690,575481005,162153756,163853329,481201045,296155141,756457708,901060185,195675794,217936692,364493024,61434761,131126362,870470561,189890544,641774036,46517980,119321179,596736714,228459721,485118487,242049107,126196134,32531433,103725996,301048872,349849034,564862110,620500446,324710666,795335813,335956172,267308978,828861281,142996589,498222481,547238399,635896867,677138856,470748401,733404382,351376008,72515190,207772873,11343098,808023433,29443396,58826960,796825727,717225597,439769447,995125173,356683897,194635318,373718443,605798583,727624925,783191294,489409286,201492433,57641990,359569956,819104147,795664636,740950742,168674752,589488128,324083733,300024243,40737812,324882906,856273590,303522106,279567373,945909377,459488216,930067298,179099437,519374885,454963991,42420956,4116859,150911745,227226597,109139706,7815158,196679091,415587897,38659132,760895434,492302112,704190548,281591460,209294963,227692270,821198676,57634937,903870702,659928947,835732760,914797490,346688632,377931500,611022676,985773875,556835727,339897172,337649660,595569966,512647760,135836986,11332383,613223796,527161435,45621716,614596364,49358072,28683833,666541122,536325044,584664389,788706559,862532560,953836857,105542615,373555542,546021439,320088626,357621387,721822377,509490610,4655898,350200894,619829527,347366158,363249662,325973020,237572053,692304724,392515816,378416444,290118225,331539116,19414523,860198111,213598105,382821394,166131399,802371177,889486248,77770993,757710861,604427207,217662356,563923889,250179316,463331004,862648688,992102944,401720281,886658212,837987806,389899420,979199859,912228151,439592991,976916863,290338806,20799983,748502383,516549738,392822307,959251502,563914876,27804247,601967916,191681303,656937990,572403566,609540232,460549032,922052607,742389113,21936845,349384935,369088395,723455024,624095854,1548430,445489511,167368520,171770706,470689207,565227397,876667933,400411412,261403578,910898248,286515389,529835068,203212658,614341299,702872967,430053176,466525560,777878215,702374103,3552794,450204238,409424013,318329091,585753290,624938707,164615625,892558739,191440483,230013644,238478488,887700280,196584505,305769421,871828410,452397650,807127006,922629372,358374057,406265301,605644411,75912524,764739132,85265969,649468760,196462725,346689357,510109176,528901219,286585575,293637695,811302582,59101614,151261439,519095850,517050524,631334846,321108636,811812759,971527098,253910835,879838626,549502188,332946901,79450967,631296297,215362527,133913156,586116961,35623089,6024214,860829666,788776454,653907395,319791400,67022274,552505054,770741595,126233765,631889696,480950716,83249555,694782335,140907420,470477761,765136424,448442267,785993506,200578581,541679080,198635730,858305701,891628985,9659826,504988026,237424774,915796033,968038032,524380001,178565496,901052740,822719558,231809940,41917432,519930668,356960129,300100539,847010947,990655534,728983782,172274615,78468174,677328424,544689510,19005926,337289194,667148295,951884869,155948433,497160816,944560082,401625931,325055665,137315653,542071790,209109143,751042561,415391277,113640574,887348413,610991822,252299863,93116609,330764788,803510923,655510523,608614358,818062223,273329600,527643819,635117535,633598212,438163038,242332743,831973842,780109612,737231886,315322639,97508906,881221045,553387464,713951774,461824405,480876614,874963066,878550508,443920934,695111174,127376756,914853982,907424498,184545145,341996974,245426177,58183828,515296442,327538092,217933694,971113739,407186971,580291849,377440843,235769980,295621144,357611654,554704196,128406826,829541491,30466616,257997904,370532473,618606756,936771549,204291158,803781839,897501949,171434622,673373600,670559816,694877963,590720507,902874117,301883512,518793197,671124926,881112596,770848481,315222975,663104905,494946600,564388150,97267561,372154749,518924991,303964551,900799306,740035372,142141013,107527541,848929095,182848487,655933176,125702344,675988092,111165940,495740814,30373490,815851093,449922636,64656239,29149277,26089487,581809328,226607355,848085177,705675331,613417979,16570140,506886428,123067839,719629827,795787423,598606497,967568991,899243260,271756892,700371092,25931308,26198816,403639769,767167335,602386321,931084191,88224520,38415275,926286667,392131471,910154934,11075179,420481914,442483240,72836359,698547310,246659535,864027147,791493809,684809394,76509389,366254389,34617774,978992564,626153707,546072469,591354578,598519903,761884761,457777677,212728064,15849212,4611980,964254701,82651506,73732866,392234076,802150653,487613192,944103032,816939389,604559892,759237854,260730274,35192643,89055870,386354938,848264754,946936969,843111068,323973969,806719816,980100423,98463770,758711925,886799243,164798552,41698868,436092096,619210580,667520407,36451125,909125133,821657718,238778562,377235211,721775411,456509216,462914427,518197024,88293058,932114554,313882095,312733745,872355533,263949758,388415784,305435606,28412617,319533350,94639747,762587981,666710679,83859407,542871024,271967250,148545220,353831150,791551191,125862223,362590246,323977890,115484677,6019688,512936262,717014809,82100506,227961676,557417753,745246928,68257842,323017522,773016783,736077339,12961891,602649399,731548317,372838068,846933162,626671355,210406311,925337561,665586888,968626701,892005616,540728317,413006333,355656633,966292243,96435156,973262840,100999979,600510043,97821795,170374302,647660956,539807106,986717507,293868082,349696651,819508671,878619309,944288454,936523004,309312441,875997557,749946495,280640834,87768712,956114985,166830175,105132211,95548008,380955894,387943747,811540045,336313080,698082597,498864752,758019087,832010724,950082791,629932730,808475336,860309916,351071325,238366065,935296592,3668412,938311508,126957413,355047600,865710883,323900481,288564082,565191639,935367477,788689910,870412611,537639195,698917985,386072577,7313761,290860953,515772543,959855068,954524664,8862308,798400357,842800663,917070356,383651130,577331904,148484329,17306149,342813917,614770534,659286665,874813984,152177045,554106801,839284810,962679130,575789993,8131636,783866774,841292657,645148612,91068980,88645169,558652560,226906559,527308124,17465991,430136063,383516320,869818047,802266189,76916045,564826273,532061275,892516066,89803371,883444819,929065932,8616812,359827101,232999039,693727481,735243923,435022588,295275264,728668698,898155963,963202554,403847556,230791474,877819350,905102345,169769499,213247503,340177494,90992303,245947109,109174818,958638393,121299546,504449620,234662785,553987266,341945512,714565280,175678558,773193395,1623139,574660747,103582682,276429086,346651444,157839180,617795120,148651093,593181423,740330698,209079550,923937856,12797567,126162468,886995713,968604512,740841017,243020815,700443436,807296832,194677922,117711649,732063259,710693098,832409885,873537819,297527157,181688902,152642064,862941280,292622165,351047372,64754880,569426378,190922132,294760274,470233271,438504247,993548254,471454325,901519269,734319218,349263348,478176604,866378393,745053775,744953362,844854784,615555932,387129023,294130679,969627478,805654692,731743662,124238449,461513883,868520111,14919334,94511310,29032185,731897651,817953686,256890004,971008401,514799272,448367624,650827652,985024345,52719299,843465238,658303241,636499056,996739013,756494292,680835804,697655371,718397989,17550748,355927579,956916810,890700805,433984990,473044896,275985041,445102639,419200798,524492877,891046142,907647773,242056973,483590826,665978327,121765916,557719973,533354486,925365446,226007661,5332999,423016141,420580133,102845040,163149943,873510515,862420849,97975506,215978997,220043430,983523729,753191373,593980938,839919307,296370250,375744665,705022664,775580516,196876485,76138266,128175397,945919836,125457932,426710260,506214449,727157848,978595295,545500007,34203901,797893775,541670420,737025198,298445709,871107063,532855197,224150596,75475204,272399715,168726488,207600990,708753406,561245500,86712315,727500531,398510647,524484692,465521780,953826676,175745332,401610474,14579580,529133310,288533963,833672219,955018458,81989640,271138425,674572195,671535383,235269731,862448664,504036447,51621376,945800535,6476043,573152709,865440492,719620781,114688104,809545526,751817545,742229461,489481270,33792834,632890735,505618866,360285116,386805994,892462501,104767598,269078066,514657557,514708623,996557048,260494303,814901967,616156134,118440104,765734358,428810034,209563708,447230756,235021263,14216783,553730314,288914882,491057744,339368314,864577974,528632241,34812240,243993642,338103428,312376520,899321460,590466953,297501317,688043276,540565541,124608341,839758824,356843605,614184891,317991766,596635352,286017058,609109896,480042853,574436014,58248051,106942818,996905257,121309945,225020857,555435680,30747136,928718344,708858781,993885791,170740655,960711902,291478121,643450211,829084170,215798592,857932810,575576701,113119216,560521496,409189838,319393816,585412307,425194133,27003322,362523744,729733417,646102152,423154308,936374439,146326580,385979185,103809860,387008936,464588824,213104709,684103624,217825204,797301245,405360474,802858892,293486672,873656470,133576916,120602821,739294818,528498865,415758517,326902787,483636190,119510556,141534409,665738013,212909891,517042878,203094947,983302662,78187401,31258488,63921641,56412730,794006325,52219410,634469709,425550343,52666923,4534842,299751529,678607400,390982702,935633177,355940152,678024050,841649185,218284022,22301541,226896557,421813960,420616579,865697516,56065528,19821122,508167721,756024829,546901121,991034233,176294376,872175804,482536733,498987920,59917598,863370901,511223228,583465000,613393262,198814777,487832434,961546742,547451709,795944975,829045542,941328067,248849396,505256106,138175580,522429434,449269580,793883394,113187057,976117237,783508721,909115204,470794726,181649534,573976775,253646660,781575941,425942890,109197689,746517302,789279569,142003625,424948020,223550689,645645272,193586664,27159457,148296075,275607365,927524129,412552829,548980957,935128069,419780876,852001130,956430665,48172800,673549923,941872796,886985021,609672461,794695207,671872035,305772305,234868324,726864652,931028418,539788876,867812158,183927169,75412063,634636264,924156982,708803038,496750268,877334720,477417514,99420418,857346448,765923280,804701617,339488092,61909880,679469359,126367090,654494806,751169726,737175897,166378801,155035088,17299194,709331313,308071141,180738283,793775583,19684127,19209381,243515653,930538119,842710230,17942610,264680471,506344209,56980873,210374721,304759042,746666873,838257766,839160696,64688604,95393123,927580673,550257677,352497594,790510488,734295464,854342993,999610464,620761083,767742344,235174184,874773291,624201581,815080398,188342840,371842308,939194113,852928767,652657499,817369621,614854964,453203774,551407712,699096411,705055547,780781647,321656814,385862264,85928873,300692331,678684351,120011662,735584336,527690193,790515950,868669623,603883528,217466522,855616916,660196817,845540867,273499993,254192723,694358771,666706615,645763054,286168359,727300873,532457391,43003832,170204350,422518343,947654308,574167677,645626117,945607201,542735900,685320487,366221387,230529006,409773422,472875821,709577376,801032056,740830868,51538542,469369696,77406672,813350152,552968528,673791239,225229775,205663862,786688701,176306956,422243110,527658493,510568415,682245454,592406766,847743954,820578667,830034912,373970368,806327924,566529993,516526444,285312740,886104424,809905263,623686604,426659654,645681381,232945425,68128278,909176104,161713788,644253273,588404918,828240957,150260697,328749007,476060571,114600678,135001089,673140275,365439013,416424678,644060071,864787817,613194722,393923865,866870978,889793885,861865710,102915296,256337588,614063701,767674342,716229356,150124209,968811881,564065141,375653299,527637992,48686693,150335930,378745956,212028729,732050540,862181103,340083089,414762063,959842447,833911605,983332929,353604631,44366063,687822279,888168686,238190510,808831972,563099313,967871510,845853609,66208014,36617996,938833023,222902138,488301174,692166263,139693364,205176816,921771151,930159289,481391862,557038577,465332151,482606905,996701952,66247429,727031819,311807070,73660129,111020327,145266747,240923858,131613367,302799568,548838018,876298265,645908321,964300742,276266534,621312810,721784815,500260074,619281019,683238664,868776652,707233888,832531814,280823841,674502504,90865619,913683729,842972115,945967240,926890243,760838143,655240474,286670486,514483584,816190499,666858598,435379960,313264412,336667109,373246507,282413623,442281779,276295425,267898608,189406036,599761947,99047858,804313191,814305045,967582946,92553991,965052562,223541662,133044252,895188983,43923505,820256936,8594043,740168068,492939924,711099256,218566894,944813295,424283290,61327394,626058633,741515909,712179036,653967523,715107228,751981527,3137913,918542318,725007031,520858238,69450244,839892895,155869144,937976567,39643643,644910253,868051409,885568722,393526762,229483146,70003895,64860386,887739113,128700963,758553273,271566278,816646492,418291717,944548856,399782106,831628998,376708256,812214926,470034651,31789836,28807170,374287928,776560793,764269717,799733444,748907506,380034697,895917184,404831593,183687816,745952,944191970,509268923,600980427,5085298,714547544,382406660,729990061,155344396,356028284,149528194,831015131,674678123,490489722,430065616,53570901,482246653,410184220,334612217,810601908,828203049,572410539,527657403,228224705,214139651,950886686,314580937,129067424,589263987,91603442,775722452,457016009,534903576,637161065,719531877,209424915,208069716,752095594,903274913,618476907,243974664,277212057,76885468,796375448,974645489,24556775,285338503,123154396,551747290,111568229,46999531,230863837,587333606,691557862,481543386,625537143,790306826,997033083,954250167,197159879,406987481,511246551,794438953,82295816,106753047,734799017,664600551,168249693,167157596,758413417,519373845,62559757,703076654,726147534,654504152,750182552,5264990,15922142,917974257,316831820,443996663,284087452,844875327,279146242,417926613,483629159,383181748,116237977,408538347,602146203,961904220,142700688,562814588,920263661,718640522,998173338,809140976,932469993,572186583,894547704,156069635,514345330,772451942,718237761,801885816,175146371,61598703,863247014,605820245,206981152,68404201,604116784,641547639,568741525,536934066,935590773,23653388,149106803,548946924,426149657,326692408,594743368,695108009,866838431,301511561,628519622,805310959,544911922,57886393,495120213,812554999,483002266,463016315,998417223,666747464,26515421,301017550,472342633,333022634,897247115,978458544,625752749,950263734,92310953,754996106,480528958,27722696,75653458,159238529,722627505,609465531,90252449,322310944,31642264,131515499,444705042,649074604,379237923,132195596,119998172,828962578,898593598,273412104,476024050,4691744,442569029,849636847,904622886,955571047,222935633,168794944,573115349,741911696,304202440,936926723,760321100,575543903,682718866,400328710,525289560,822239178,815183269,817713730,926901807,32127581,272993221,298745498,111813516,360645676,401403586,644223332,998249508,31600255,829507382,816246621,579917048,130089293,652837932,920066782,821334313,90514469,350411779,400131314,216197299,863952707,456280890,560188289,773206930,148650077,672029565,585208908,116431784,685210989,971178315,240010842,448516288,16254123,565203423,110907214,982732622,902708667,819433430,230416152,48752405,465763617,231065968,500581465,487572986,718193419,990965742,953416798,776457902,143368707,158913776,466462100,866263181,515896352,972975201,684560309,894291144,338949867,326373275,123112646,789189837,581926181,17732616,851344473,184711382,461032758,273594742,571678423,860215006,724749278,427702468,82506316,670945348,827789646,559117106,401369614,697218993,667648338,988268806,947038199,463646942,546115687,97510810,99569623,829736657,103305674,29229871,550005752,154579876,744489439,886664995,386125615,908051924,19736711,401271857,604399556,306617997,364652507,586968340,781873588,503104593,488002539,586410121,768846050,1568432,818992504,7660625,224557192,255343396,767900074,585557136,306599221,773730806,73353819,891720632,50908631,904627298,855529184,43126526,968407908,881762608,559155108,134192569,280792979,753461065,900957975,263234229,44208724,87645819,655477151,233967427,407749621,212623287,478618156,566917681,792173789,966169951,840914823,237786858,926234103,375473205,910693978,944084181,45421831,149547911,38207073,51686632,614707792,104856427,425021309,401633962,94751769,244941043,750126923,448097611,623233884,204095126,507432378,166202606,122524828,605197623,776785850,685650400,331841512,545711454,714010478,216636264,984384218,404488873,54131301,56062909,306998960,633046080,276267690,194603695,472147326,15185984,628611355,277440106,590285907,875651847,974237284,719676543,174143026,518017108,726801932,944456157,989133564,798939736,769985371,82041569,441256904,210350810,521474088,734098578,435775015,689526258,736890258,565145607,49857634,267134755,717545579,739822624,281879211,530606124,730607789,168727429,97834024,337856638,363074111,861213638,904341948,261635739,932107255,30452938,48409254,297354743,162103906,454598914,34186374,408835788,705307603,337552519,321641288,241277747,369379670,567396904,134986305,695314153,404110092,754917643,790827746,535059301,889740079,589446825,90604502,556159162,668176069,896513407,391987402,238172319,435834827,43391744,973969804,48416097,358944138,509782945,139625456,559444596,883900479,834792492,682790324,802552884,829648362,352517731,788207221,899858942,134819556,621650791,412441163,915063643,887548612,411437797,120317155,796662395,425994519,936900104,227353806,720744740,17266916,169285698,752787598,848679353,112364338,401141318,733764168,55858987,103004765,39944461,54906123,205273841,973602612,942819055,61825655,93301826,485952105,164406926,845223727,679506763,391680125,554553421,571657240,73595615,122757790,354157299,150688560,276376243,523638912,810520648,476866392,904314344,38053179,210873598,603618974,438570548,142469442,290568677,893005246,49567424,617727696,521610602,618011574,638420441,341063479,96294263,796185533,709721583,798283654,312405541,138995958,709272470,798006148,987699783,325398884,511675272,590142503,774432085,10148820,406562717,183971506,874279690,19464947,948277442,568139416,943667805,574992148,991268467,236753669,637636823,43640085,583717194,972092724,295279743,61260554,763512092,581909167,163217939,148941335,126166204,150916561,381711653,538618169,546746730,952017771,513459929,431201762,89528089,8548438,559853679,94887378,927744167,71653291,740173671,32063491,312321850,57973410,991679818,839392567,898612627,834553983,436369257,644991453,832386995,938693234,699894228,14206193,658850009,432583042,325336156,2017106,366384796,260300826,60919533,993052492,794683065,918075298,205580301,951019619,975593477,265482399,969456666,57956716,792598880,563455480,436192097,690520685,582618554,260757957,134367008,955407464,812663967,783729153,580231398,81835895,430821380,943755880,741126943,374756490,398723405,453215474,248946356,45483650,43835542,870458881,713282757,235785518,531230255,661933192,252727748,70146922,118156690,987210600,141993235,601468995,889008403,636986991,298595624,419355583,178200335,674820236,160936623,884847754,935220425,501174492,659575282,756210355,149812858,595788790,874684823,47211140,320735117,793610159,675011797,394652841,44857752,722438102,986969957,103850695,301225586,654151211,234011728,259958319,295080655,136706538,452785692,481021383,115520790,365727621,997088003,45071623,841714903,787060319,364843656,195461527,827127026,459147883,651183239,118368451,246920127,317715813,874385144,544755707,305642648,505495417,840161332,698450842,361262978,121252920,338092984,633814892,901076050,74831546,335399023,74856230,12453937,904123315,644357029,186796279,456160770,243611970,657494820,400279817,482387450,975726499,429259375,832238962,612281269,598269967,296854634,644151908,763334758,569677954,592901958,608758975,51813314,873120703,907643013,603557405,731284175,314622742,609236123,608679428,319463638,175281955,596859643,644970081,444844174,316948019,820327300,843869552,567108503,776242629,450280760,949250668,670853958,582014473,831968209,190593455,974535914,647543843,671463718,532563503,431820998,146460320,206291638,515928881,862361568,896724018,982747716,938051336,403604782,256805610,104749047,538276656,911456011,975368893,401643676,569543605,967727735,545979119,455271450,85200834,33816116,290436955,213806573,821784743,437644754,394187563,108117940,63496517,512403146,80411999,505262537,622606409,217765854,766050030,285790230,959204863,187333399,753169501,141271239,389520933,462335941,980801386,180291396,655802756,947183562,94889144,274831586,131095571,109003229,813827549,721217896,161108571,314621071,492343666,876114107,73636738,589095043,924972392,197631930,899162227,282358044,929309417,254890528,245900069,656489844,665046564,217247169,359675751,177277125,450598091,983506699,330382298,913886350,493957722,45481941,384019839,882682410,502017352,462995930,957857740,852788741,418426246,608130514,273922584,356220908,813611614,214487950,741091149,869773729,893380408,46781772,559460274,395363551,197874410,101478046,389423897,343649548,944120608,315190705,786339034,439198290,589460741,789166110,313079000,673711264,747451599,914912580,541357844,991159504,615465879,275506511,448689159,978279083,835259544,543999257,24687318,908666056,279332005,729723883,516302641,605964459,705159115,663261779,384831929,434184409,531735619,785367151,557881968,357603987,891126518,598032362,31055738,97820923,924133545,815336238,561488901,56097497,122139263,749523833,59884775,341755541,866095435,315464137,77598137,174502776,189203630,602987773,205920893,17429446,179025913,502496808,153120931,752291006,447186540,487138560,948921569,291680212,253600639,90395214,289067518,451101410,547791463,421063291,969595279,306175125,406763569,864735434,982483727,599590376,217680334,901167557,585216014,786244347,160480052,422615502,99387364,762112403,374864743,848003242,77602407,178270711,396222631,971761615,177748879,348161389,802983027,11913253,493651836,868344718,90877235,129660921,627492804,73371451,983441681,298122262,8152844,979818347,307882985,895089115,771679146,808414486,407457050,503285195,614840972,342929459,549965672,344996240,87238266,35458675,714809930,605169889,682626401,776540511,551156960,691351312,962295238,626221321,863972724,29278597,468457304,749753627,147711730,509893903,94810845,211621586,721567103,901058636,654172457,401715456,545843713,317460982,192680383,791897081,564178132,790014838,100757419,680995064,812719090,961552685,613357458,64763884,576092755,358580603,470939552,675202461,451306154,999876339,119171633,533613119,987008322,449507825,740047442,181868530,869945832,369019657,920946484,635280211,804018697,500679846,745537736,425306021,152897328,202841691,366797627,825436644,687363010,734577782,444621678,776494496,16083514,745337355,188924033,348598556,827908871,115309849,710269220,297687841,924756512,823131383,249303202,734208123,444912918,59554789,84223398,688585079,62200453,842083359,980049132,290993973,245471651,753578616,172063049,987348048,489423523,368975402,159457570,687922523,675862684,288947500,358855219,71303348,810512326,197915930,953536947,36401469,199196430,967892885,963818708,405115570,407802255,399521244,921808441,728531559,394930638,721154429,93797015,39687564,136828780,316138329,663225070,391522423,319873735,692864702,997173652,232296279,259435829,98585663,646637451,139095057,868684859,964603089,608595472,459641968,130988088,246045199,644587559,456320423,924917484,881886535,43361075,150343412,686888672,232192739,265414421,250488334,783410977,978691742,288922073,503694916,229737611,479789616,70285402,936475020,774343921,17274824,226108933,788431057,397799784,192540886,105930664,731417747,254553082,720291425,596464526,511360628,553006632,297268702,886853745,941920279,380472650,504978217,58298503,355176448,923418073,387687218,676698940,157599566,365999746,437213782,496873955,401710291,233551650,16975153,523933492,749021060,784273253,519291477,343687585,93830913,776999815,659438029,947046894,578309902,111728011,667415000,357582665,558883773,830776375,333849278,721722182,703540756,898570374,617124387,310787083,774334607,772413005,794459560,595783345,895633763,34416355,409114322,915035757,316654196,772560011,949583102,974102427,395781286,990743938,147323388,400043070,349311507,921454242,474764869,437229296,304901550,693151514,326086363,253675125,244932862,842929624,13282319,475239205,90848049,373719392,560711086,183781342,271831595,409396200,389511672,462623986,726496289,709349406,958355389,74189009,845300554,58675752,352831574,864587334,115366442,609513971,934845243,35643750,885915528,911273591,816954089,437247942,930241408,170933878,20604308,650123995,709383080,482773516,283646983,373432115,904676107,444534127,531094891,43995747,157281359,169239209,604056518,278049886,132660973,439015261,287551777,54818071,415686787,218330469,377529158,839957254,862102121,151043944,674950136,483167665,849126797,241481054,922737226,784746057,614746993,396043846,834335070,604554326,730756514,385495111,674377389,956379977,618305763,337785935,715440644,476972793,802308420,428149247,887740980,368144840,85353542,249523063,276382215,976332091,98153276,494916727,946366131,344065388,72009121,929805104,80873833,320602429,919267454,470275413,140854826,822495941,817491610,666985383,284740209,18716842,209938324,696184993,236965932,578667392,506509357,785204807,846699167,767665314,394963136,334413827,368171370,482615567,737658627,117552309,76450895,445157856,340498158,65574130,448058823,315729914,979556668,14630130,904904952,44172352,458335033,504051238,854000915,662700933,281384055,506081984,503903839,145261992,151445689,927469417,528118494,88281267,894116944,115807196,124927351,729722350,277392278,98191301,327349936,142566864,254881259,874156992,403161705,989767753,552612175,40427362,527620265,89550006,538429069,247953851,183931256,510305736,958715645,27694868,869051946,312870119,856399506,400740567,890945059,733473860,603796796,808286810,969246206,868976883,912387714,519024913,539864705,412882258,889747215,272563010,198088245,308093706,680768634,772158495,978812588,280637011,282555321,869870544,318271157,856221828,216451469,595255797,376782223,684968008,759816298,144167171,574205142,929047629,355330925,302416213,469724939,947829143,276146311,763306375,460726273,737494178,638825071,785539555,710083490,882370261,346455611,471854852,335361979,136826708,435103126,844328474,868180702,220022580,257223934,677936320,14671391,813270396,15710393,919057131,752304937,822014627,407790228,760568240,185970632,760380959,949184336,268453583,642531661,968139014,169211546,611416364,354863554,210214008,701285014,617848206,287025237,5318640,124590067,766913767,331985859,780854872,627796985,898425314,186695148,865405493,751346933,762588586,904982268,51115700,192568706,29132853,715023727,28570065,81358613,343701056,898252970,576704912,741378426,203033417,671063232,785526687,888065902,321377600,627763203,981446803,96120970,479938043,987141460,943224019,512366250,852714074,379899980,107071413,530507645,55300908,597823255,892858167,297502490,550517556,984755957,981917255,138022217,337271484,949808621,24650377,387718345,469310635,305953421,188264951,968642843,132467493,418745577,889150904,84258153,95161213,443494753,595902024,891001573,517428278,831384917,91626797,253675083,963101964,780726771,800360336,178014068,709308416,949425695,640714251,207550165,707897245,974917586,594823928,905138312,837108710,683557234,652273201,367851126,316971601,303069439,432162576,199290590,619667187,726805345,679128959,912269828,96268891,746215224,516526659,175743768,875196862,690086086,252201484,566388019,782882236,137075038,321711624,512419296,650204411,307762804,965121313,438651448,336839422,185351177,960778884,340651733,835682389,928222948,429260244,78806605,537362978,554855102,781171816,419601749,491924074,297878948,914319951,76966368,461638852,442909041,234435927,415528462,893342427,453624218,105704223,762344355,845418225,270554669,232123815,51115109,718049547,67851399,616049285,784732421,927185976,9577156,474627485,326528843,231403147,774274924,382524038,308271310,33445745,139727837,248085934,77457391,322849257,976383339,813849395,899322820,874679746,110835574,344643414,358754932,371434302,821388655,260605552,442620237,951610963,450332860,176779883,111867346,892903248,498764257,694953669,792857581,628229355,562994707,66497461,106298323,278122870,572593785,436870733,572721622,668881828,180107548,766075694,385441364,112918300,423982389,447523912,96187471,616701601,514933772,9400477,924143705,295995027,469623814,121473651,76135021,176985357,723696159,315783421,337462972,699565982,96321467,230026055,608942560,454013562,37328281,6226158,543175927,547927152,669055477,732078064,327975341,242118642,379383347,115307271,62547668,386037581,847848534,368133106,301811262,815159943,650874510,6610665,932848416,410932843,207289493,793566364,886005647,811797370,989840316,440796671,382278245,660790301,149691151,262630483,983936200,10160859,818574610,636152082,599839463,253176246,473472964,658581596,330045502,392216654,722130960,220274359,371833359,132544099,984208176,798416404,198180975,965268905,661821990,295530165,673940949,577071104,591967766,928931597,367242190,637987145,772524160,251621324,934126591,403672712,25954882,76598895,875234480,10365108,709232600,327839019,656747799,688629858,740532162,584034555,985067624,268909441,301879935,140291245,480677240,196547519,436136950,644334751,556210480,905776854,812831078,262066944,143805656,670802242,694411898,923983490,51135633,750844230,216591495,183212770,603734896,535985853,48308319,440033330,809099784,857589810,981197910,207525349,829985644,146687324,626187141,577517817,972689526,640729464,130861076,999302083,514062771,190821441,212862011,246813141,369451481,914550944,47567079,821062161,166021817,970546084,812627705,279084238,676490359,947722702,351408433,361154436,937109077,91923324,166334042,889787831,253730049,989911782,928913374,940956891,685223932,61699272,797638545,333640474,432637638,787687668,553225501,880890464,885696854,397606740,829426099,819792404,531716641,483221066,865402521,911765533,449904398,847733500,138465491,85569405,28288348,285394937,170342054,895089897,939936556,120732502,440061965,421660926,456095193,15897264,470313662,185697389,574287421,461787190,860090592,686290821,303183329,891117920,944586299,438954930,503368482,82563807,130517307,846457859,880407011,822314222,302055157,159486794,695093537,145461483,481075175,801479217,834691539,20538128,193200153,678420992,295503949,138039823,196614693,555531364,250330811,811372081,760591746,303014091,500619917,311709537,278891613,601935342,963263444,900190846,771612218,822436847,647037262,587952537,696933423,968346167,259615459,983735163,936253262,545826338,697939069,831467829,244571288,714137746,568661112,940668198,944679119,923366414,468992775,603841188,23988697,358820016,395550064,69504218,87171965,721760467,751764017,648693369,432636867,943043743,600405146,706927965,67381461,487260800,381405647,760188543,293613717,846662087,85055359,159800756,997510607,910355503,185908729,775202980,992227391,609527152,496299628,584513719,507829193,338835407,888227410,654941591,808315709,944770255,861394266,979652018,816533438,781289530,644939830,681921615,249490102,78477911,679545200,559417025,840463968,488779434,923382244,619971862,555872294,54032763,196126575,700415450,694612797,21377429,389852150,581927608,366910142,995476030,220549731,603850177,555291635,828132043,434126545,259773337,336451282,75973494,829458445,725794027,871439186,905841179,975078434,547054908,944789768,705411467,986497922,802074382,876881151,335581922,348663554,861956468,152419514,143997610,745448980,104532376,157461435,834253089,611899538,794195452,464804029,443749517,34193413,489623521,230260220,159092739,291906959,430301064,957817843,960741374,767218762,512759558,539041532,383892026,542183075,96505862,614081703,142566740,562194765,113784384,12529021,607132482,15151804,964577886,886198175,389771128,586455776,989436403,352964607,177131479,521161974,874807813,139466017,83627168,819880164,869055942,282924254,204313095,945273561,359126467,597693132,925975971,686693026,538571049,46412789,864626821,548864691,667003151,293927924,148604970,772885730,563538268,550496729,415766291,987145060,897006840,323346684,395995531,517987997,303300453,790154721,909626644,540196536,100810964,925326678,506377382,610316070,985987989,607131854,931495812,570215717,458244077,994460092,271883382,730940026,944244720,482331242,371730676,887369551,927279438,249736161,584237821,448804101,993074467,150406190,932722509,969701251,657216141,188361118,75540944,932319092,461985603,953238763,299938175,747565366,781736600,326127811,493624139,992531689,742789451,382192287,966395750,389082114,750089157,156525144,299222615,42879007,290637483,231691017,586334906,897987801,681812492,720030171,891086281,183470388,264226255,85234670,639142651,989692943,511944157,534325709,125728565,638052388,234604890,810104329,786068194,678424485,207548671,317508662,112290165,640278950,382789498,316893425,861480667,579393553,423945170,573192301,232019063,134873293,577950646,559426174,712291603,805205627,968348071,196249838,11273598,900890342,852607553,2092480,511080642,177240960,41991025,282019292,702635969,156040542,479734814,828870412,278764113,327364761,206616556,656772247,548974322,315074308,540039087,35209794,33385118,377659826,324094692,936911919,562528769,699014555,310802219,909291484,692358284,29976384,445452689,509044045,620488420,891110788,815666156,475347377,893716856,404254587,204196159,281162520,236110427,261210854,166025111,665028857,858260367,890803065,541040632,450196625,318551951,118420016,295310347,177489350,327999170,989086722,406245948,782584111,187896846,235470538,478932399,858380152,65838457,761915555,454489758,741023771,401844800,444908818,748349166,591227847,954570155,618853600,724592979,799570103,841809436,255002747,222938470,429579245,655928815,262239002,597595484,239416391,228709147,736776686,892520131,145269129,889161014,679683110,934710844,479917953,389543161,629265212,28883113,191025099,543313312,185575710,444350106,55229428,267468801,768868101,980227238,873235713,723785255,778035336,78274878,65447628,347440985,70670310,245695741,421176432,649648427,452988508,987329629,181368479,649612571,864339977,8286834,697277444,27550235,884508029,626700206,132808698,668176243,787300225,54307772,130167509,298539950,57011203,445804423,836948877,699275234,985715863,879774960,484377972,687853990,554657569,643786802,551904098,785717044,912231894,640923634,617072265,277974177,470978826,585705441,980293258,111951931,637579820,668727514,262455814,580261118,387068369,128241831,184198682,78218521,931004966,420962546,843515939,317665992,613204656,307289048,840385811,193262438,61324030,372605339,298049913,198586775,73066831,86584475,770145539,109594817,768928559,647747021,731904339,382809585,552383279,674200106,254398644,200568701,717108682,210484212,17324687,255153733,245606011,817820092,647664186,443138215,358615268,280346724,978355719,41966747,307605659,809043273,892483853,47957799,642788996,95780706,350936185,968613140,246099476,61121081,23470314,597565214,134959753,445583888,973575203,259914712,415871824,190481887,660058837,611189687,430885489,137973310,209146025,895140823,748549999,133294602,78988699,925188432,497345012,72718333,692861073,73109324,136435164,272642619,384798509,627649165,542287902,794898764,801226296,667248942,988745423,830405924,963908103,67103009,866546522,464302623,509069996,976843215,230452633,718696203,785857939,259028654,579477709,732080055,136335386,709251730,548389016,209676699,738496698,767542447,963827992,356509277,704159518,910092100,150657723,50741583,354343274,238880448,567698747,716515387,571372127,231365434,525971805,91906832,3594602,33615066,911385668,972698466,343225181,553396326,960406354,359951737,512229221,592189505,651087507,799071390,795479601,351663978,148635677,926003189,460364463,182635544,717103329,839250927,803427691,947428484,891134371,595004107,913962930,612001139,205250125,629994181,853432742,833022171,164511390,699876546,83274973,95604156,279146206,48659543,304966079,273488873,797654205,392699493,662206963,74708350,529544416,730013989,762022558,853654917,27245213,320656874,989611388,552683453,659599435,950395368,229697563,570133185,77415048,135365194,200063614,184318016,550197555,124487641,716938895,831195577,801034811,775738536,138254562,468684293,389788379,317159797,383507328,559410039,669310546,692847564,779721311,826646435,723374252,836718883,172633754,685273946,267577752,824804561,206438216,956915911,679017582,626167694,234280253,845846980,150377798,946256952,808167382,95612590,245633876,627871141,282591039,300677254,989254351,403796095,956479534,620304679,962294757,976716696,382037163,383446885,995527043,658189853,174337925,586664182,286938684,238077493,1128307,301633106,594866783,243288409,954873759,83821218,693162893,753185799,110027549,452326758,522028900,233693856,201564575,241882300,30710011,987888151,162039324,292757802,522041856,886829877,709704384,735727774,715413099,87066061,157583319,697044486,876387139,709426017,362203080,522771670,449039494,599193577,889418432,122319170,634091149,487625888,527577829,533203620,426243366,419135114,783066495,428601772,335418352,90149537,11031146,128225836,117073344,786496485,627070974,953891074,37510795,619903423,73631200,240318414,482330508,482165088,290185580,146095876,18670628,286150061,538055448,377362910,738774635,491972670,185313693,146399327,463044504,863117849,329026786,664867878,685832689,228738536,291584996,58373247,174984021,646644752,170069709,363896840,906220289,549471596,47913704,223405988,303274584,478316723,159823190,69410919,240396522,847932345,852222255,842326651,474709214,525539321,603590103,916341304,601671201,731087050,115636628,345631330,328408428,221367692,364468949,207696819,334508108,626958220,167873023,965848071,937686607,158728445,840229221,998742019,775463311,765322689,844323707,743642336,334193743,523263675,60795740,659698335,206519976,868983671,994982622,389994576,331596265,261328850,491014006,720531436,688811440,931672213,455093993,231715702,289113247,471270993,178480600,976884947,232690582,626720319,991015645,987596899,209741862,717897922,599522881,241410652,813053529,638842442,483065153,785688159,217469483,660592843,253538978,247799960,397484047,118955338,89509069,679792859,993161196,705612378,333786067,646931039,337155301,721224774,490087558,651501,961233097,924088050,315885639,42108183,970314385,114021175,944274724,107834385,977833912,930307576,513141792,458452002,84545576,603023254,790567496,535495113,482673637,952124154,225268086,760853587,90731450,332582604,942559062,930137847,458625060,301921063,441543456,259150286,512220117,11845456,626039040,732192741,830868730,678264807,209181403,962606415,154830778,283382922,885993852,798773008,120151715,217783974,232610471,937006066,702743193,444441761,130310874,810675237,431852514,366908409,409177174,639236574,304650325,246817502,46327543,14644535,945926370,750376370,865330364,190954518,179507800,934427703,331454190,981072265,181460726,977366428,352419527,138510014,161772273,589657898,553010396,324167031,970301578,717977855,684076619,876116007,727796822,833456814,65312880,242977977,532634994,9477022,489298688,192060412,555687952,462420809,232521611,798590253,508650954,331458908,466554699,543131577,318712368,726732658,131051438,91759003,214048666,554974843,368742350,45970065,131018213,496957436,37747138,30221812,282842211,100950340,61773625,911393116,11107252,471398835,407818318,187285431,561714709,458538337,28323369,560514097,448493139,448569341,124989671,617164589,309237291,17962098,513936494,271430107,226219306,382900537,114124839,356573247,461879186,788607678,594345,996006626,389403417,216053564,861370623,26130081,733436704,86032314,80826352,765188105,917070145,421878481,660854217,377021137,529869069,562793779,796514386,732698378,183626306,619438472,957669601,975280602,229478131,576037035,457838935,202246603,457853510,287831885,66524419,418873459,484263300,487092045,883332572,280013565,539412224,682459499,630520705,116604355,292772434,101682370,642434787,440454927,384772311,488273760,979486450,728072219,168640950,264485091,591909416,511576048,33458089,580588724,183715259,322658420,952715429,548677654,51025091,766141356,860743050,337149838,305550020,121017817,793435641,786430604,907616539,899200508,522136004,851666335,441098977,574992432,357038122,207887139,750881487,223274962,43194540,881059582,981473596,500973007,302561920,620768474,425314151,227568780,625251324,905976266,800119508,351217418,985378387,652749762,431268606,200408952,801112549,213048144,709643566,733420072,94473137,876066258,825663372,558484231,725152204,301715101,290260179,10142952,295476243,725972353,344252157,413840560,586945060,943768233,404480097,271531321,299743521,747669487,623483125,937288591,296292587,151639943,40178234,310402849,732928233,644639446,678980357,264201457,357452761,56591632,223130917,909512235,519155852,184875884,187011448,758478613,831025656,799225721,657072571,56207609,501306361,54415289,838860323,660017997,794543846,139731383,440415215,931596203,728052447,377807727,174183005,295915771,488893916,843282439,528385792,353712634,707382768,88750845,751247076,204240686,805779579,900164724,225283834,233925202,298032640,443227858,578035899,690408302,522430129,109281438,203029005,83458298,732660580,881905479,660910260,995939664,1533222,347827400,77679339,95459853,344470314,549103187,863403428,596994802,585046838,795057146,527324586,592355627,300672287,250565546,165933665,827483406,27867909,100042483,790330979,368616054,515920351,569178545,430373230,489689537,308367723,260724209,898368077,848505717,72300348,194929321,12459285,11366716,586233983,755049469,510016615,589409520,809161962,177624440,477810503,689680582,30896378,881313617,367978309,697815512,92499016,705196058,457773955,235327608,639977947,771066287,293900663,489235567,819782450,185919305,9946597,235738961,947137340,314629171,434668878,732149352,642012655,805225147,954387127,922306309,208114506,557966881,152843300,986866282,653321515,161919311,954682917,708102132,576288081,570165759,368660853,794932687,440768033,148970103,766945059,567138732,521902510,435505053,79703989,281358882,144834454,24352959,795951346,905611558,324267718,190653265,529300049,166411526,337024187,329374670,8120402,242414094,687147658,626063976,881987027,288948573,871535172,245903786,517075076,155676150,662740234,139969102,837424460,304227836,474502811,87441389,665883954,98524551,504474714,456237690,928246409,796820784,17073783,167229234,556603187,64165224,697560588,98506856,932753721,278792156,530487587,372889949,646815170,116200624,527597065,618896251,574178641,712613491,485475459,66652020,52274175,595353864,840433623,937214941,395407587,979984651,42416671,894764438,253590402,140935146,197131948,688381316,401549320,517796652,512189684,25330689,821466819,242834083,729982696,761434392,193534767,172154121,721973207,324913058,510423583,660869409,428975321,750372185,405393955,376408884,975740054,127578414,433855257,598791180,218602954,139794380,734796373,251035835,412585951,788985407,833901641,782802766,665936799,619951324,71516015,873386855,756183225,238099075,745234696,185756180,983407354,714057624,967317916,312756143,163424660,913703168,127552451,451347486,731983812,356658019,876649290,885122672,887709022,961003625,114957649,710185673,979820182,768086067,325526595,895703770,368878374,214045945,771838741,617164218,672098605,736155093,400591986,765963466,394736496,214666494,713493381,232808884,269359,419190045,492516852,749602246,901508342,74472179,376835101,427674435,420811947,689776040,863915821,343324989,469052665,339251354,523108184,420760852,566547066,415610175,163981049,950901097,855420234,365562586,182333846,630963161,149042767,800531937,154618439,403533256,631242047,76082585,743308886,895507065,652818324,361525400,998002156,815273059,887577843,468416455,762067028,102652597,653633785,36591287,573505953,587180279,449403522,300518673,31680347,232891659,682733813,425569702,854216171,294497656,521712515,739293465,530371586,959733486,707143793,114238386,186782298,162852958,215075198,401321026,70024512,304608613,419987956,113264464,393890821,62508115,592013828,300361752,368238586,728095340,805305157,973028023,959685159,874254685,542918352,283377047,397887482,838676120,81971065,149629881,256796346,722551451,127835090,182297476,950325049,908514172,872679431,701382825,370789044,303101219,348482562,737675681,756250742,486636947,407477501,428116765,538371512,859554047,341020706,307486962,886466826,225968129,135163463,743725480,891826936,91141026,265724544,713262379,711803228,573388257,665389254,175485300,852577495,934405415,283619255,817495299,178036095,238225972,66666436,861397174,714233904,466841354,233457883,607839050,589692161,475558151,994727038,288615172,838678206,2831112,97323642,754841129,85718371,377552143,221918048,803305384,156411239,331693421,505521423,699011167,164530005,147189091,335672103,780150994,636738281,447551765,362447663,375908633,723559917,388178658,886695479,892743615,784220110,272495575,211331903,944288766,919430762,472502744,690527923,53909304,212359889,576731443,454097321,825034430,332125957,767566892,447711386,405668828,317356509,784045609,178694991,250813837,645921950,468392157,259890654,245763242,669936962,600900129,412079808,163085066,889643036,544925442,236630065,440977918,331589878,16616683,554612145,808047558,589092301,662230331,70944396,608232740,715560647,180867917,642251075,280419429,841921341,911287337,978523113,740751457,521310548,227674582,473836769,765806401,681386382,55831038,724926991,317945807,511292475,924878636,968502091,148934437,620927372,191383510,349854444,961501149,447561396,998206428,64109690,748032450,221271770,114865752,113979975,488911462,673075479,847384481,353009995,617253041,313306595,240146490,448271606,619811389,608225236,592203972,915600649,953106659,527239049,665548430,296688189,619513299,260495933,124323684,506677759,607182004,245835222,625965628,528512673,38739393,394699974,459521718,312703614,646780319,794978036,853757565,576301953,301413681,762449383,139426151,233248356,54962488,274315751,755694998,601548780,764822650,452918991,918882713,268116256,374283648,981531487,268265014,492293563,675866166,119285859,364129782,485956201,199400621,920292413,249556812,749280524,250117203,955125834,917759287,805405387,127842476,813387152,397784426,859188483,607409822,894798880,519176406,810568589,586737144,48597192,777116399,915418575,507336709,554132494,579559638,642135143,938384991,492222125,992841295,875373168,212383256,86263690,630459993,686234698,588498309,887144640,231152392,518900017,781727302,697963245,717506677,980545022,642302034,348415033,204435241,739851812,175473772,426501930,665633200,19784536,86799306,519220252,235653978,103152350,834215198,598871549,810043661,79608387,168577748,44016491,274184306,270793362,528976808,897561480,487036523,322939413,800704947,740076994,920535348,707261814,319133545,969302798,269825968,912972139,833488316,818192584,945946284,943869149,355525287,671854541,73438707,516876101,231851029,396905039,797442885,936921577,666301425,356956241,963999346,223895655,832374555,165001915,615228349,999355943,465170500,660769615,960861693,953133003,705625562,914910808,337724409,999193699,389535419,330047855,72942719,699524753,8238083,630032566,455800723,173165159,233182346,494797847,950741898,24015500,965058985,352506967,765323711,649885412,438941541,628810055,378837995,160563904,857865723,446048701,312021314,453331054,546552229,108808652,115333911,405898713,77581923,564063607,892129998,713993922,926427568,692255724,359693085,493203680,39192962,539767605,20642628,456027431,974451248,3394009,411515322,983954584,562392125,672968219,796569846,722856513,277902841,100392650,671951295,30165245,147105775,508541799,173595995,654725233,240202319,523642459,264504770,269276039,819822956,585393037,888389746,841828863,36962482,659629110,254077377,120449830,924539795,732925721,311815185,123264733,825440440,53138620,929112731,88867294,736089833,722685725,887659796,213639842,365190438,52039113,887645291,60768736,90013755,293575068,363385186,389021038,807681941,629646833,389279047,153651663,92492013,867108869,524356228,397792030,176870650,813336141,500701508,544390223,410727770,481441492,511200746,980394948,725305544,523062292,285884472,224063541,383530452,841501627,499268614,19517295,788188313,74239864,185815303,25225607,60583072,961819436,476316719,529407477,179360901,174337199,453811707,746921698,472828443,248366099,215182457,917679912,260398888,484196198,178286779,392165264,982674832,646597883,274726024,695654657,988573667,61872163,558642312,817679408,806988918,655247870,59196105,411706242,541875474,996785005,730646616,604813597,734298726,905139724,166944353,777969408,241692506,114119498,612476506,681276230,428332327,984075453,408037393,267746677,64531503,990995779,927125731,459696851,666212845,447451952,313746951,376322177,770271986,603633059,526574301,401477203,987376504,920974509,20087913,742535216,872645307,175790442,865065765,756048637,605221504,310362095,514086804,581835095,975148676,500854353,715412305,708614247,99654722,266940,482904621,182166742,861658082,196628958,824391791,681878787,571409969,811983496,273620051,19915793,296475080,620847097,457440699,957802564,327930746,635852543,168038063,894925419,452818433,472228964,184271887,771840129,941197106,777321156,941760533,764565475,865561748,39617509,51000983,919618824,981062326,294005214,816174001,439289243,461380181,30016694,525882593,523243198,945412251,918757844,646185212,578234660,904795300,453655635,390120024,82635185,340135591,363107839,837257739,111966891,430023492,166446045,187744594,506217115,389922205,47706800,921970035,698497101,277374644,136795691,810857112,641057220,162132998,28524017,403827858,915387837,415614807,550557651,844250532,269818830,15873343,765430602,436989592,41270237,763240957,568727147,385409316,910719212,716623259,86726827,369589996,902481571,213792647,100681792,933789824,402330310,835808749,903859533,409096316,746452742,785441759,552158217,589703086,206385267,911467551,45043854,998457074,901489575,696507471,651425093,169014798,689111503,164891841,506291510,138494360,534754613,22188041,452390466,166173145,635903458,480324945,979655946,802036078,217364315,626593430,793763432,815075599,364695268,473453515,179191687,427241778,445872068,59532848,509128725,399038243,958301361,287735274,41382930,453812930,838057908,387232891,50713270,393010187,180413290,43113414,102149420,861562674,866949839,319187780,161379108,876591323,645055646,244162553,752379071,222564340,645553425,769535566,324097413,789169284,670627154,447159346,483649146,227395903,747623665,539667022,290592768,258014876,726336517,646027059,950849758,520384256,649575008,70447522,172672894,289772670,4585933,873607768,957453205,731748920,283693437,161708153,952340604,654367446,454721446,986654506,359104130,701010370,262720584,850129295,43272741,386784834,970343338,855713120,26482074,427102425,52660236,356346107,567416494,845411189,24874973,498801892,149451198,928393241,219776720,855160793,796756888,938502537,297772219,344714023,290038904,591622274,275904303,775219238,318668135,723287742,545801568,328292310,153340680,800150687,302174147,22088036,880804228,14044218,284559113,499802170,118915368,599866244,489046944,66882094,588790749,899821139,989772004,82019433,209059029,450586584,720651777,238328097,613411562,145073868,866032325,848706923,934204705,623064641,550589565,814470275,830308755,22276261,944728670,872929336,922996945,836489157,648523709,34799265,511285985,109091915,825022993,375942777,723028060,736923045,869159556,583497354,520647326,947691488,218944721,974225458,218111035,290640182,702107428,308651330,676077713,266807701,864047647,413863130,837730510,643402136,962926627,304107140,482084197,424730363,207174370,106197371,583450981,909011791,589737969,441411451,287177722,47910024,818524057,285781511,456846096,32194747,120949932,791221771,240958837,118424129,31631068,597958117,723655166,934175422,856065122,295343388,864015962,376344370,899630890,906286798,481503403,378257274,394389573,189843087,632098511,619847051,31471639,455757177,616764918,686847996,245554810,90044307,578898509,878275386,40469328,756481548,121849742,627959000,366876278,992078090,15997464,721783309,961962528,538394850,337592752,825483331,99979962,179805254,918203255,590464278,270001547,824381350,543886234,489319078,470115186,104364152,436807837,155258611,13503010,227677752,960853361,579048892,147176315,330681488,415481880,358404239,770933342,803270394,269180750,185362632,260743592,970701062,297274974,747068165,386613260,913583765,683224602,604885824,715127528,884155284,476826845,777025350,454308463,315492237,574966866,810246610,505932291,793396848,948251803,318348637,840923423,69897854,947018036,559005044,295990103,948674468,665807899,381073507,1554218,584869824,462266226,858400184,50226691,92198801,716134725,375334421,795704843,403353055,896742717,588287551,965137270,717201164,984327485,498422077,690528915,745211201,791448934,152279904,357655654,865299716,938255140,650033559,664835059,201504501,635225874,189997056,733157209,789701848,245798506,103437124,966774604,954228284,937325339,691899751,717282920,950971053,407073405,248085598,650302263,236680728,404331160,668371320,321839571,235047939,481949015,170122206,657150372,490241441,682019495,158438370,890279448,720796624,27259780,193481696,214917708,264420375,727031833,657095520,754554124,48697326,76863449,192850644,540902259,668690448,660607279,141593022,473529427,209392791,249097962,3019310,572535739,414926579,604155824,128737921,567982047,878965982,422108339,987654964,759027218,912469002,986486574,577127573,523188205,691593952,220175812,738098292,703886905,974462252,833141944,32381676,614235418,60094797,387863322,965876996,358241824,880204293,214735964,574352956,703432283,382024624,998291849,65524781,720060477,239942004,781470459,902983496,206784949,318896066,964499805,238755088,167059976,348754321,100274242,240690837,544411492,830501230,71639328,785503796,531415799,435541113,363357966,808056479,577622722,925391982,442847184,565862472,156546062,636098198,595739302,31616990,670754246,796642305,13397404,96980893,764195026,928080639,604856410,414764058,522298316,527610955,54113323,973517079,387045075,135125237,207164046,21956345,824542203,572123185,729982733,594310293,728565639,935102057,893126966,843040787,787649882,636259842,769706526,500965438,438350185,417933775,728701446,648122573,76129266,988577165,533885242,631855720,653231325,819382011,165887530,287039309,802211628,232446386,599254511,660990439,85323859,123142199,766466696,707242774,508104420,166826430,111252673,978632991,106277912,17692303,513834522,271489947,84367308,815136282,387637864,411920647,203355783,896578754,52571039,140507971,156124287,891916845,166000077,829070326,892387940,542711984,206671449,71915814,436929605,878606705,396365251,342708598,639522066,21341416,441023227,783938909,980669413,184484809,185669044,746475214,688359282,138856747,710214725,332254700,30157970,536586961,761808438,941330020,805106123,474534012,676058116,286559943,76095522,549086192,61510584,737998489,828066357,787364358,575262434,122800790,101978149,567279140,386733948,727820138,701358576,143934296,646263019,12454431,337030256,763600131,65954601,202140646,409881908,284051251,626842636,122613105,798378926,608082102,273390570,640817478,133308092,745871495,953840110,985477135,557649851,67257281,603400982,791936496,552502386,612503686,555523612,837849652,753903592,568449827,586453627,776875154,423770213,864143151,837492427,722744268,581932755,65062830,129654599,759513836,488776070,615628724,488313079,607667504,154316434,829241801,3392231,902291708,860604915,491349908,844759954,351715143,569998588,518492493,881515812,357349302,253769856,579024766,504857405,515694012,796531349,967029191,797653003,335406576,891223186,873172428,554099246,310162333,392271043,262971767,280281608,318734789,749904024,804433356,273913278,80927476,765956240,626377985,971823614,170190573,436589484,281444764,158172847,887982508,876848120,147004822,779220207,124254787,805214024,201090656,822327914,860872350,720428376,764099609,897956935,281416671,617722014,660627958,815178436,318997454,630504514,476787069,187028754,343970539,336502135,396321139,981530985,159229667,44440419,99053645,909080543,280920142,55466735,854563808,440297295,510878852,720795601,615565530,403869557,468407321,70317533,893865008,537352221,758683061,438455137,329302708,877842560,428356756,927406997,827082479,467358486,166836411,548237337,285002563,283175489,195447277,638618552,274147200,449016510,581025446,723247697,809041728,824542615,412225186,814994694,829791417,317033926,87856880,479001947,886360676,229344921,855153788,79113547,802104377,968716801,151626258,129744566,408201318,785984467,503943260,785704929,648848701,394201354,681604023,822559947,989662760,747316713,229106985,608654997,566782575,971261407,676287192,630013757,969292856,836643180,735651708,497502129,601551188,737667987,520703202,578234151,936555076,388668193,582102680,718038156,352429557,770648241,783313988,61360085,736447983,386493070,403041837,978974961,528399966,123213273,586235516,398884156,621581027,494093996,166167009,674743574,254314824,106190143,515383803,938300164,4209049,208334692,524883220,592981818,502087991,617231149,684109734,806466830,477143107,44371606,700182243,852748847,551087239,204465206,897037567,983948593,901022360,556178284,740470654,286837151,261509877,580736514,385015357,403875469,929530461,238669238,984515965,79108220,573724580,836931529,352366534,513407711,900698142,765120333,93390432,684578245,663103540,582006377,469892053,601537778,141424392,962795,986151333,504333977,715399314,722165357,407045245,970883831,8324569,251292570,573937574,297369479,597815965,909138350,557885413,373570706,114990739,685285343,423174574,972783452,54499526,67403682,965595031,972766352,123976012,889548238,280645750,428400091,782225492,407289007,877161084,800282893,971875779,159511246,654890786,300496791,143920864,160334441,404107032,228721096,327861599,824678303,416794854,468793247,299089270,58948106,718321457,439535496,575362235,658956772,214779393,321356764,128277595,517014739,478649867,164028593,283130633,264668999,495499403,265406333,185244617,640109586,541964080,102107737,208632254,622769333,494824630,361490329,377983550,508273231,54518568,882484350,530206132,854014421,755849296,67115340,487154481,408161320,935323257,614337247,666581733,48467536,187657531,760725350,398566643,7146981,862334201,247318858,905977933,926505063,251734645,781733046,180417150,812532530,249892605,264572052,670975080,350914986,48110274,781125092,875364558,811342413,422431626,278719547,554239262,151216417,203411972,501117115,588148429,271937720,417721374,642515507,593731267,66317909,167637304,392653590,438937617,934449956,218410264,560497207,187328077,957927334,814297997,210897623,1736621,65784617,389020276,80739363,190749363,213618867,74507180,838983167,286006763,701420066,788042374,233564653,626303688,767659783,102157104,575175238,783039212,826771243,528025973,796183707,536690508,870526778,290775053,72711500,534832913,811426858,614973193,153212346,806849296,569066799,481470404,973453723,769594014,494863706,103797606,546764144,320714185,343519312,751131670,673793282,792203483,461312105,428652545,906905069,419045137,942952407,723905365,732436216,514671916,607962476,905707742,385506023,616954609,511797227,395393436,845246109,137281336,582527239,327383115,144698449,734454466,302640917,555853804,928950338,30571845,792887811,813082976,464359094,444088916,42382745,716467208,822465668,473360169,677599386,406104537,406157769,942403393,395890256,883398976,329214518,811093956,484346013,112427689,253025662,827388074,104744403,793966794,86386380,724718446,372172864,234153571,208559265,63894885,954768878,58844523,864673059,389090435,678138465,602904272,268200102,707794195,595335640,529858382,72068605,377076331,259593171,783348123,308077516,927019126,824260369,716173499,767684277,837690464,310702594,217029763,443995112,574670376,482718544,423892576,718278443,778858710,754658302,519088685,640410966,167427289,24640306,25396055,441568582,694929726,541769953,636961112,785822928,975346943,829567802,34575367,352245586,186339924,175653493,14771015,618591565,635537406,724117020,44130500,284622246,693222051,734735526,10707727,831624274,913622003,287127629,447394049,538957140,225015351,403210480,687725188,227988701,931691055,528054326,877312542,343338675,167221927,329056752,80671282,589218802,212692264,565152158,869591138,429376342,427741423,486946529,587436813,441879845,965931196,374936548,292200415,521946388,563599580,85086446,824607339,733133206,207769554,121068678,220982273,819716431,904338701,166961063,611032376,705352073,622934913,791340340,260483995,787693585,1141885,382826863,594729293,597077503,391246996,966016791,527623542,815845976,745160503,677676842,979957941,482458670,250427855,26066562,311853539,142913193,1437168,327924165,141804407,901560767,96295118,97201883,355215344,241170962,705473909,688417915,181768632,734058242,346993362,423378831,359295436,62746253,970169904,839611581,888687981,524381672,444789438,312355128,71386364,445292750,936224837,225298350,417946729,382556084,231430958,507699243,20177194,86983407,189408402,181576173,923900999,390819236,228006998,719498010,14854264,374790777,818428871,730863724,550633298,535662714,948502360,475801421,68412321,942830066,932783346,480016279,422515395,47079310,756255607,159091155,681799741,332332050,937143978,967389007,367629092,648049359,162700922,321055878,431934915,634655793,156104156,121365093,611057091,700302677,7970501,887164879,558922168,715763865,883700236,656013012,816655114,770519940,39703092,653455782,223307600,346309726,367314466,890825165,420817712,372623970,335842284,566954185,485756128,552618784,442011521,62159854,401894087,261397022,97059186,503564230,73918081,959162967,518136418,367163691,5151872,293041074,316308309,108403751,242536931,904879232,829805556,552320838,248257532,473124737,158575116,107000174,30777235,193406974,452496193,196258454,265589132,410933835,737880189,975688243,416716389,987572830,423018127,196037969,80484779,651989071,212384199,115089402,117437275,46842255,31476731,361197388,57072281,693718105,535234437,725466115,613456351,588014580,94056054,487495648,714499364,550023989,348905769,974193035,857748987,793488284,759950436,196492441,168751315,29124177,184825221,667834565,856368161,607855159,246660047,277461574,521003894,891376467,595113166,301941845,111112085,61405965,281597724,974558977,408019621,468088668,502197439,279310647,993253055,665756784,788847572,879992124,950425600,345539690,966023400,316942471,715070914,591088560,617503772,556830379,773995748,787558050,279577058,131826995,382821256,601427851,971944853,633452488,701461651,438142824,740416759,70319907,643663437,149802151,923642170,975800469,848854011,977778823,947359900,969666151,931222119,82232344,167086195,191365846,601927763,82166781,766998849,182717297,536148644,264266409,604190474,936534431,673671095,728572654,666279050,618196195,36390107,400601600,175978420,387397013,814283125,239259002,188023759,200639368,837038613,904635935,475083521,762929324,223257130,146917543,816709699,288857328,377527898,918811345,722647861,539028034,855355615,279931911,540135654,946488765,531906198,466332306,838934537,988469880,335297279,449464400,278921077,675351171,811151232,528885414,710379774,986918920,713459063,98123610,807198007,236117898,159753681,605036646,259804088,172174940,665595227,104936544,284150804,619867428,606215411,5319512,781096240,587856773,623108420,79564826,228366713,525910061,827203853,653552189,9768312,756794031,218171069,167853888,133462236,295297030,105201825,5130149,710012840,543872285,567746776,234321210,873445553,867252354,800359832,129641068,140072106,695689235,605588829,243752918,604799203,318258411,960675943,232609091,430555610,595056434,969985172,963008384,185716810,885261382,998828995,841347603,618839775,389267491,84957415,645521653,983107324,994778722,283239140,392853065,570455082,525265864,760049489,741772905,264601961,726686951,613524876,145408112,40625885,997814464,180337939,728791621,695830015,141109775,931308825,385772875,368714641,937563632,123544261,446760123,824198134,588324798,90060186,828382319,974133799,340177401,105123539,26622071,407820287,40771786,756632395,911235955,990491678,53345035,97502339,67092938,665080702,921172153,626201914,195577084,390512020,992043794,169386155,149899531,166684397,16796170,164466954,119590137,481617365,609288569,184388031,628854697,92860676,983844939,99680427,686568426,571075120,990032557,442417389,251450581,164254410,381164129,944068115,145002272,101983817,243608349,697568159,412596375,992308126,494904352,428526819,845656805,268870021,541225861,519160783,5099334,950882778,678757245,884626617,708448589,664696998,615677040,217265113,872804716,567443681,513882041,123323350,578067717,57065278,574759808,775492680,187557473,607175842,29180218,2455119,18319952,132596647,103398867,637481407,605336769,520564366,920851443,58903899,880531705,165458715,588677045,764846640,297423995,838381573,224583871,899659010,268323702,132967197,822224955,155696800,565510980,834486992,18256804,252649333,43819866,430367059,500977729,797867259,940973627,282513313,491961969,598882054,13602513,679674211,481554363,586945915,496495700,752232056,954166397,954298366,55025888,565313035,918603932,412570266,22153414,803620999,798817269,571500583,38196439,156666960,811340418,138134232,370769305,119794266,630864467,238318747,558279114,599064212,553610059,792871213,747154688,621483479,291142516,101862075,415000410,490998600,615681028,469291876,241282157,479336353,627312947,598677488,618819578,640186835,816484044,760066970,491271083,88260878,636406709,531369929,496853294,470267415,143282696,747704526,180207084,765816832,661865365,876685690,446608755,660681025,307535566,359219886,831583227,815032603,672575391,783653862,655277325,944355197,390941478,484381181,946609427,620170407,782579233,751725101,983199507,818953684,128673169,219526396,549951169,717495947,593452942,419247680,726357612,18382476,734815070,572905901,139546327,320139298,54138237,150915940,395035118,672869950,514868732,199267821,615974640,114057388,739864921,389417176,644860667,740342322,186751832,201880925,287548787,21329501,486365551,765273525,669219675,453795955,250296480,719679999,952992405,731270144,870695960,750098028,186352894,383961924,799664893,465944661,411987498,470245369,23594191,547566212,743774299,891557239,942147372,597576533,357372628,728050360,510288758,951440146,410551828,607457169,635126707,415989863,790798273,965524170,893455338,811907037,316922844,809393335,556536212,66661633,643135678,410903180,397258366,95945435,408402347,496201055,690634400,332769895,686150258,946988254,997524376,328236901,691213884,433588440,894221098,618683502,549797117,820493944,21849067,233983857,971203012,735347595,864928653,756487259,144521247,528392463,770921151,63286842,649572421,342109802,677790049,839286235,411762911,732728370,874725433,404540450,334657812,982352847,597947922,336347042,244517921,401108928,604070846,246533487,576752480,122791025,159407012,98018885,149300758,907576475,582989493,656486610,729186244,593416575,66645207,939899866,694461893,711375394,764363426,348523616,423268482,830658001,39295969,120548978,374234511,794449039,351001313,555062424,28520307,281935654,488020862,138889010,193876725,62662983,379490308,10947060,663964153,12199270,272938260,896325792,918042111,989752174,308315644,193830720,611436517,447015411,217607258,351124805,289496740,259742886,991696562,878104069,911155562,945159481,101906088,630001906,84560183,566159088,470042817,251625904,362325543,310900152,14987631,437814157,15030670,569630791,327434574,327550948,26186724,205152207,777284131,205007434,294932224,913112300,878054253,374228747,253043513,592849847,49237040,29306282,433331498,245280766,183603567,167252171,567699306,644539731,357712723,682672537,798432371,297886765,623731830,260225308,431352164,493101145,718654901,933886506,191764377,288517215,843296759,801745597,790147029,959206572,642836159,468362956,372053143,706561128,655631550,297371956,354061014,416854565,309982049,521087665,345653392,749903572,407200424,568669943,849567112,15192838,725869046,899758914,793152637,290837835,892644475,857762152,453070873,266558755,696416538,517386318,50036308,581667743,704226191,955470580,374426073,237211940,420828485,45175313,125090090,692258263,592263696,15200387,27595697,741910346,603200540,743988815,729359887,732489696,615065305,76817202,651434099,512910478,600690492,456588455,627352611,63581066,704665403,178897911,144808632,182585581,827401883,265170395,347102582,225262649,711566667,64342827,172297813,680689415,653157974,455027868,225951198,926260588,488613261,723122790,413538635,526292865,605058272,122444762,499063910,239576106,855545608,366999014,52576115,654862668,516321679,515768005,946404237,824035465,996537835,452167144,316440751,104837732,180697653,34266449,918274089,203712902,764898797,107257420,427693199,822768566,94451989,586892301,433896931,929634829,422140343,362538623,465251389,977241649,757073661,232342709,302511918,680290054,181027720,961740537,557527184,822812203,41813544,638055631,870810303,735037865,418981743,463511022,320911808,63706573,257138435,475416110,809623404,594260350,857652934,454694824,858602992,969595721,326968804,14988992,432334801,322679960,314188775,493701495,1584241,891621337,872379884,986673900,429590064,449708667,884353210,484647236,767717927,292287281,937636319,703385172,333613842,12038761,72765034,4629036,212319376,786654340,671726618,51605123,13556407,398401616,775360784,785762811,133158091,690696513,674415586,673707909,497796836,701725222,94192824,410125685,786989383,805904451,412862013,379374435,63670185,318658974,347353204,943204109,913718582,951528951,838054244,231290062,952677930,694177863,618921755,184658152,25263442,385997495,142754720,142552457,274776214,809241935,282743041,766959763,481050180,251570295,705475545,386722760,230383380,538197624,919653811,707976563,231838108,537326870,458669111,908015465,263853802,685861186,202563917,366309202,586940679,955502075,179812569,432980022,79930227,547834923,538476664,693116219,643881604,775827007,120993376,638437849,42601814,96508068,517387810,95291891,941984470,964569443,25494283,815959562,787711518,518893947,479078916,909037807,323130480,706037475,573730142,851003861,660361587,613700741,566428083,637235230,479175999,682993859,684835656,603223172,316921672,178842642,242839228,487153888,685567124,299490793,145839658,625221913,204315802,290304084,307043469,466356150,215147396,78745548,618602723,953110101,562069561,694890071,340410824,33636060,854874903,662873406,823310730,831822412,321719658,930704739,282035251,417560903,569331577,423011538,709600013,332351873,391464047,167737715,629624495,856206434,826234210,697305010,152885062,892427253,29637942,270421413,34673425,882372067,804532432,871781568,742390034,402880953,289632223,939524086,617785294,962688520,960021553,368271433,283745154,476425574,462479116,998042622,398163969,940256407,82549069,838396746,371892746,705420883,268679931,859521948,388041221,612300846,595583727,474357807,863823299,446828441,183897515,818364938,315364050,389213110,434982132,6343493,340098552,937729566,675867049,6824016,496951707,203628591,839810773,722757306,264053774,775718649,555443808,415528797,434809260,642234792,692186694,405341627,873715142,792290732,495417002,415539990,286166750,331191828,608110787,719200625,918985067,192485553,965301213,592154672,36807349,294124513,552399006,541290759,105068730,307884250,589854908,685494170,805964384,31875127,169103033,285111080,201032005,625515179,48026210,397029570,817454832,497217729,752862461,372519251,26306954,73147961,316888808,596915705,483516859,730906767,861222836,967216340,868868788,233422130,833254589,109244862,127023207,27757930,303200182,248407370,655152703,393733906,691343563,385494745,819688892,131913159,142553484,525075633,994192992,295379830,124323748,850685329,353405161,227421839,191971420,343431203,617771573,324501375,981275176,567797423,143371399,500238099,846272276,466980313,817426716,294469226,103033984,812725381,506989377,60851078,55315776,963023795,990941898,664863468,441446069,509293157,10289983,875757321,750312219,367943466,29054920,327609316,633987446,420126758,781003698,183600821,227136872,171356450,780622788,744747104,946449902,107669309,832192553,629929208,458490493,547108399,302766754,22066636,146395869,968152701,621437442,678991292,715353943,856000396,676641361,404219440,303715791,360141438,383432141,744456336,881961773,788571532,782398489,776643166,472810939,132010569,726342873,421677461,84965271,389408152,304101699,737683122,634075591,242558542,969695879,73878962,447693755,333134928,208553345,700106979,101005444,502839233,968588110,301214674,86078302,565025101,946587577,5004926,242908143,105430837,607089096,819096348,438763921,156791832,843483562,513102877,736794236,635164566,545868062,343711869,962801428,297202258,505419493,637859373,206843930,946452462,595585659,653011644,37763284,670080065,969997130,219168554,204609473,745717117,566476591,77148512,473725466,798642833,136079116,869909785,230771057,748288891,364001209,927460218,996075513,680430909,42441610,674549448,397174874,878110845,884561876,219080884,75077426,27011483,24185976,396510846,879278485,267557403,280322417,410844278,870455215,326409524,849196762,365413106,732548957,258006568,846700589,401415954,51563804,978610807,218837934,237197069,879996354,620870954,927681663,744796094,236238048,39893115,461657565,976900460,881764632,510309740,813134240,468295085,958722941,276304042,377689911,956863880,802574705,350264517,576683798,386489803,276943744,544178554,535528091,735387198,47239867,511748969,613569565,577026289,440241817,894369028,442294696,595541233,759430860,230658750,33194482,9018475,772487398,823225496,739246458,642639746,72435085,784029723,486064082,640736528,446789989,258899834,443225817,596626310,498286619,773364594,947480794,835197406,760762719,41907061,883648337,2542583,37352935,358409243,560526881,467454380,349422184,515182609,934320882,365701333,965364535,469163560,245169175,748857412,560654164,203960829,265071699,22830403,58590920,781669190,630576597,107482783,328192249,721949577,379734539,909579292,813616762,221416409,410935964,763116134,985177126,509703536,712930735,233085423,32440014,415317994,149826509,766898405,862759587,393820917,704227059,161637746,718214728,481726854,392868702,855117242,881619325,223740547,746058325,575605063,961096072,501003615,80398909,877348041,695475912,947140648,884024653,480080065,194783250,456051991,717923226,854891835,766897337,887829018,91690281,901618733,772610970,670226974,273476133,990547810,32989547,897210953,816375976,740141462,590994377,258446298,372417164,344795065,95619953,397449674,862693153,371263306,101075464,446398609,609922743,828611072,903739689,522297594,664117649,419154370,869152036,298633688,423454105,187810731,489360810,720057777,985418768,473673771,328792264,468341710,704041164,330948557,843503911,626829699,490934662,387876112,276679881,366734048,219251492,647061435,374949591,943556929,334267900,963936199,687170980,261784422,233661289,666768851,176585140,761365346,458524679,1365341,734297995,777269140,651733478,478798108,661958776,235362170,544666175,545582226,493427706,402572203,432145273,903239952,368599370,994970544,292780901,273694082,535738376,629672643,16354924,442927878,660586277,306333132,278083948,644878960,12671259,598479702,128286889,683015784,799323341,859419201,824537103,674267069,142426544,826355759,538828025,511996982,449870741,317944831,701491269,676518779,611286957,28936815,693252686,803537626,496609635,670755406,796384361,852646656,232242238,937349396,922863817,467340556,788522757,687101594,250724379,662754127,235058585,822939651,104616424,107510309,411422977,565136230,99256726,199188691,30052947,796830131,83566260,328079881,926101276,559702885,220710684,84758958,309674098,355334299,419392991,634666122,298351196,909715122,914819256,427994049,216485586,175580335,655354939,18832455,197035464,730239175,590225844,145510470,91101044,39686928,750206318,997530665,460218503,540388440,170551234,983737939,166768684,25217455,865036914,119299096,358587936,29316322,530732155,868810687,636190044,123130648,617542815,141428413,202689068,846457769,727993996,331508262,931541016,413185813,97655363,336663536,983479606,839805749,707771189,121230316,311908997,305864708,938222845,229752577,135305188,464492704,15073015,292879587,939694803,834590630,304738012,590950426,385863837,536614333,27956055,106317597,971650056,889159030,529931743,787429329,738588281,164048348,7573131,436568335,148601717,186435698,493481895,313944444,244766093,173139073,367910876,703458416,940648505,49913651,126209058,938895686,667679312,12244943,76845108,123681146,619255043,841233041,149512881,376379572,572251037,826790995,31001256,123592080,664489978,561385136,511490921,747179159,421024757,936529513,302661071,713855076,505817587,516775487,306762097,487810794,957547345,254874401,540169914,620181221,468719021,342685031,710842591,924082934,247024472,674739047,565850079,224034255,240926021,448742819,754037457,917595012,324997604,229117837,890941048,4350978,756373034,536419305,742475145,953564491,29497969,421245401,883936821,383205213,255934756,149198382,639578068,53664636,224362434,205459513,486306838,690199980,816540211,527601089,257074627,437685854,422294399,883824417,32138806,273758513,240900622,482952612,153987760,194758425,888007203,616723345,23823002,673662071,848365761,364849877,886949380,392374958,267855989,943547863,980132320,141884465,644499295,108367149,769565987,38386744,212492274,780629310,363660892,246365928,327437464,733902662,721604832,257077501,53492345,795277369,195112337,609235799,585430106,265034886,857887409,278229402,839860985,528911194,685935169,524581336,399400347,125056922,301188130,206486595,558612778,416797215,907709853,368632198,246634392,732529103,764151385,255550230,1327742,652571009,785238148,14062355,503964208,861458116,205538384,848011074,65586906,160377035,668878835,300986452,767676277,430524754,993697215,160207020,625197433,446712213,666913992,852688651,930342836,255680911,171298495,217001178,207019747,590485953,405323270,551520189,67263403,452344587,567587838,504739749,414052004,200274843,862322109,16387939,416581666,648845286,954271441,398642850,597813831,164584985,399048495,481442014,976928302,530777389,112058457,861629000,377847883,684686922,710588957,168014918,547129386,420498235,895952178,769617672,45145289,821303043,905514307,984459587,680519531,117797884,915933931,803663551,695255132,987791451,915682437,287984977,477123814,559834830,610324883,649740481,404142999,701690798,230367935,329901574,707870110,453667203,361204604,681205892,979373283,329013081,412494647,918411198,620006712,165119554,135905365,649996880,434298598,445293996,129894730,673283816,11033069,399438711,240376587,920059050,670559398,829320614,475384761,689497510,757038308,301415194,159197404,982401358,955727018,997545641,922047100,319154075,975479615,35083202,845181396,340982785,938695471,597524931,944165141,753539070,345361932,529808647,135115662,823371188,321965178,638261988,909023726,261360328,372692914,989690426,738338716,428603689,52946489,167024884,883819276,749101057,865879762,681036676,590525400,286081224,643529930,841154652,576582473,612880803,984889221,61281553,847306991,597648641,496267532,837438247,592993499,508398977,637007695,464810390,805656527,765722137,498580299,129392761,103926056,334696358,800924047,456366900,185229520,29074159,36850698,975078288,903175906,932774519,755802543,136900796,463467897,355103728,507918752,548729291,199561754,296024627,154456203,375868491,725506318,297169837,381323083,487310233,54331073,297611765,373829094,491966532,741655139,13338732,248199871,132146352,447386148,762036071,557439512,58980653,721304850,967131217,897728621,115577377,260508187,677557613,647378340,865060498,579142413,186915351,467776712,31547286,501341172,925122975,250060417,798741671,614163312,526451405,777675638,510679093,461511331,262360306,73085046,605239644,513921574,329245096,937630979,819064596,783856835,470069798,764849993,860546206,263142865,61428739,6415401,972775086,580164460,624296144,705505999,191565343,184182062,271339198,784753373,719863860,210534795,424038326,764688390,560023913,88272533,448736632,123513730,590925424,80148205,447412456,70724481,952981183,631525384,452064578,677612798,645170735,547509443,539758381,187395827,332891505,275033815,130320546,958732610,559227667,850477899,406932198,469643375,973347536,483973136,300878848,642475117,348037229,42711220,695864161,652645462,626473666,447468890,875241919,759096086,114821358,271174409,241566409,453364579,935056484,476670049,460459902,639682433,473452218,661801978,566581105,626496125,232322929,615541556,484644357,535009066,573856450,907995003,114265481,221868820,533693696,164916559,195713052,572331702,783958724,126163428,64963075,91162342,909240399,473783717,992499679,423634830,605310627,70262991,916599077,573950512,640517077,29644207,153245705,981072101,900472042,844130686,562028106,639952337,533486527,805373863,201372110,174465573,605942097,184262291,697915325,419002204,149236003,898915383,847176023,395199352,656869813,707842680,800671491,537949516,926062478,232078956,139060572,924787823,253109262,20375925,89815406,100258326,966716240,943541002,717744009,787679220,687647881,493817776,817448728,257970540,810866105,141604906,358306054,776977509,363130503,513825762,998760571,998356719,324368334,580253382,519580797,570844020,715684889,315473019,49072851,508711666,995876752,408269070,628748246,59555216,506776737,461443393,283353345,608189248,797503564,836162910,377928741,457550295,324968660,410800720,200313302,901292750,833250159,436144304,707758788,267749459,804483462,52918975,397335519,796360897,612225389,767012807,113321643,620696030,113820266,178450313,697155928,613507776,551871482,737386087,882441629,958565563,952863862,140073618,958231393,589424726,185135144,417710062,797313955,186078950,570707058,514513684,37352809,282544221,382384210,798410320,140720687,405660084,493941546,601085531,198018405,62340345,94101442,45399524,870494516,865955322,723554973,171498166,883964931,764539842,608222461,71640960,446493794,133211198,108411161,293645761,429474864,939516301,791817781,308459625,447485394,950758601,999531631,940578496,219411620,341116937,641962079,750827771,775299748,303180650,906868409,204207846,97042683,65661802,388535964,412591276,416859497,216786621,479909856,861633571,728974077,869461065,773789902,566293437,614149181,343123668,35163812,72826970,552486119,665433736,564795395,640465676,586777476,694156637,594202116,259555719,90627804,593802781,270625542,99366167,203058221,52590351,391564726,603563747,447412760,945863113,376856144,653854652,346141118,502895080,224688055,134942855,169144956,232271940,592365279,405505080,86909757,945925330,218377727,590708721,490058061,28189435,701505430,581394443,908073195,406705884,725264687,621885455,512485571,912057647,288940309,169796418,716211630,398938393,915802552,371715301,843655439,852821406,7379719,132189037,998829660,188939417,356778987,92198633,670558547,667680433,270284608,904862789,78357598,906618243,511349689,780176215,18125042,162405450,817056828,591116868,346633153,380552864,614032186,332863159,833252284,465921229,251682389,843091265,9169544,109048041,172282158,161379540,721234131,66794052,732461106,506306742,256553515,340285247,935824576,75659822,380330783,793039476,237625382,803170181,35274381,830596382,464853621,487545536,821744498,652607434,496588420,687384982,699399627,70594307,251442115,298057422,477394417,164837461,250611419,998189708,706811300,955065647,890764476,731020470,963233464,445448825,459309330,980369460,492199603,889138818,246981363,333995270,458999039,983410294,482757429,717539177,616332726,46553293,674745752,48600257,367098880,806247562,625295688,699601276,50885775,911509850,538844814,827766470,142558354,5120653,619099823,779262941,950287566,492216660,487259474,389102550,788575361,595643031,223979653,946678423,462033493,986592525,593352550,662079648,615254985,381075875,285781416,920774892,123990354,7642886,880728427,250121837,147806435,667728587,48494157,466875106,589384633,438678092,749761802,805692707,863896663,64304501,438729963,742751265,872610969,606778014,932351231,432870767,589587147,77846731,160503820,314904606,219392231,403738644,189509473,76493455,640786605,935435032,78069564,332678494,472895927,54436614,984385838,788047696,982969656,924631685,729030317,608148300,931771973,553909071,614387377,936876741,795653029,973982396,736223525,693683324,534640149,35253693,222806424,216770662,884041549,302578549,689384229,134050994,100464724,537050312,765114859,345414955,631022153,854630404,408594653,294442033,406716511,844625072,44315075,459833534,390923804,125730126,101195539,597508169,717533794,915994667,52077401,21090568,672883128,409153209,196002440,80658097,961074704,736183168,808520994,826200405,47057328,92774242,95886216,623442280,739367536,191026639,692278691,537637247,537247363,981697533,371311332,248448171,561838845,516644909,881082062,440694382,81000096,943933394,687880704,676037296,375911857,817552907,258373260,881226399,464643851,978774698,49444695,350268855,563448863,362438092,970626506,554353997,734565833,542032398,175582544,298270202,287609736,660670233,683791071,396109163,876888663,991111263,631367508,364094331,876097191,369437440,228842873,488450074,911360650,992454449,967717535,951932712,662479410,96641967,143659822,507125269,977777499,708992967,972482057,566844102,336043380,813060644,349385059,917443587,223220003,566932995,169319676,172216017,571450955,865740288,185167813,306818048,898252501,153978412,158786163,938485904,272370562,903836928,313041514,587712317,478452473,506728329,607674144,647405864,167393292,476475855,165745887,589742891,824693663,863753186,79914725,334083057,63341280,767751288,51460653,925134194,224301059,319231096,347423331,320389221,483633482,136883141,100752258,73926087,842199766,646217872,747107281,571791896,28444942,251855323,352105490,982552975,111452523,151178798,436225946,801416953,684891089,805172230,917849135,607329545,966992665,97948961,344191586,921651440,447042916,503036538,832947322,132347388,226763543,904685120,748923658,239475811,592388209,792215450,879598668,956609297,871618627,184872916,131475466,797240238,426871754,238242657,184352166,434067197,76810734,664414810,602888680,119839802,526524765,833539607,432473712,79331156,751993769,527845274,908787850,691768898,890998586,105334182,957542713,434382156,569518909,948563423,894355818,523866029,115221272,6744199,352434384,617774096,64083445,466018876,678396955,938004562,777455809,54355508,500347762,802014403,120821223,509460888,722171649,435134284,683525175,459229050,868414680,974772475,799829253,995976281,716897108,492744407,486069460,541357860,195679307,370205034,77676430,549400064,151022726,286233203,68063311,909107695,901384974,679478588,219545058,884622513,396038513,393446745,368426319,471250956,905938934,639822755,851206842,680813257,548987471,132314410,72587405,541149292,705589059,697154968,869086704,550143162,520311187,665526413,570679823,923509313,4912212,832046583,947611115,214702149,98522999,162175966,96868044,566904955,895067889,988383296,957742934,961954191,727237571,538969495,976771514,246432704,989756732,361994716,30679845,670285846,483122395,549244483,121121426,547805193,12545488,396479234,814713828,639008946,210712956,269924870,89316836,165144976,330994680,446115671,148685934,635241726,370279875,579214642,782524018,420115210,396977481,37863909,438672305,591486826,586415211,920169895,674715168,965518556,865850491,728515089,983732207,381162951,912712524,17643208,109540704,910225970,97847418,587051007,676220237,18904025,959038019,913811522,148011983,89793829,686367744,373329377,203461540,861869669,496104214,875124123,313770236,863982276,687209589,142226371,883075725,665245862,214495766,568541616,945487020,365530074,570640409,362257350,651184978,531458757,761605439,160455445,635550563,693820374,43361353,398132337,971047098,713392220,606761403,209891738,39743260,702507466,20043366,838735703,55762404,769294647,812132291,975560770,242842641,900416151,71018767,782696746,99691068,185258526,222673914,868562818,169319514,536478360,287421184,341941677,169286393,409051003,839842461,869218082,633764226,114540651,949228402,530142310,281447409,740027257,517096274,898318011,63685075,378744503,610545107,304231458,644847196,511516533,682959351,149315847,266814040,319263452,267776019,848238787,750926765,840045327,862325117,348733864,298138703,284103598,598492580,156001880,70279098,474460193,55455136,869473966,756409230,758012695,298015263,525530124,386557302,211952772,335553538,957935662,244349152,354739297,720795168,485356310,123375568,127688490,524548650,233259706,673615856,905091702,872192099,565369869,678722703,998707985,214658472,14750930,551578757,954889053,51954916,193284787,168201586,728476660,929438341,351726612,315727004,861429475,536919812,343507402,340090007,957939125,896896141,108832853,969619126,854127712,908048109,226093267,481683719,862001740,83009830,719129431,947949324,682702677,765969829,920320169,430992852,944702337,21696046,595218194,71718902,456900254,401937727,940533337,494203404,420795947,936000370,793390778,898448496,886943470,723450332,167326337,671009820,905745253,79751207,44135507,471347988,76469739,852248037,23228115,855406855,77040443,490388316,718114335,158903506,46272561,696770576,233752836,236411556,840163347,655377204,430704745,690839716,457192987,311567722,643311361,710309085,719450806,692934508,675093608,602377699,560004843,887192737,22411572,700243769,778601769,475398829,416714946,333179498,377534651,722464325,572207172,774386588,605749620,126491177,722624992,792360758,80682917,702867878,690550568,690575300,727975933,517876721,673831410,103814711,280342868,430219673,870955233,922615792,495412461,273205147,303205068,217276601,155926139,650525550,607250188,153066784,754460842,123776351,324631794,201912444,902626410,200004682,196197395,991865543,851427095,853377876,76141036,745644546,141393876,705712792,842861082,625257810,772385545,894792161,252360651,219017589,277016199,302023929,623389210,253319888,608772325,244520059,331285887,24354541,709469850,69520653,114155173,145349975,651754933,414033701,760143896,357131644,885091615,692610222,754394433,602591700,120210569,480536385,872061791,693478065,347202054,507368878,850778921,811337843,260106746,371979786,8929237,905410654,938041333,960282568,487617716,997254909,865594720,73572436,696694378,193410759,852642201,613898265,142698161,407904688,432888090,418918189,614915278,49054610,571490650,790831059,23777042,828384584,336056479,261645030,378464012,219823651,558456330,139998861,261295658,242664484,996227168,29251656,141410053,250377572,803100611,92012,430968598,442929607,105511481,292521351,156235931,747991148,810091891,477555189,500494900,237715401,106614576,52224509,240033921,316130890,166783020,530933598,504461133,627444297,341890771,493617553,164265460,892682518,285126970,874065798,74491465,216537320,46381117,190774584,730597372,81085129,824801693,4264951,314183570,493730080,609463874,262977862,552598301,169742682,2717924,523912583,489606623,48086801,97752479,205989894,777970808,883350775,589463072,356072888,237721004,620799002,910633983,438918286,616077332,432510106,755711076,840235599,131107530,175183969,913891278,606759694,296531310,799391173,439648937,469221439,375101853,729058273,835224804,703889654,985151777,961183997,967729004,25460789,769207088,773819302,334545345,34959312,644985576,466276560,36864997,805694317,478388474,634923222,127178231,551939651,592766391,967506463,201609935,475015688,56367885,537253900,707778631,300635082,71339940,751600620,325887850,475631430,306752845,732378524,277186924,676604047,306397938,882411484,7467471,762004370,934014113,342600712,398796987,467505420,562673092,322440937,115173532,397510632,880904923,260859141,798193717,506262731,203215006,302682278,513286514,702090227,960404344,689154089,549080107,123121095,66886473,531905326,118024980,2530105,847815736,958177182,194873862,803381291,75976161,53148937,359540342,51816049,823380223,680926877,450335756,486075014,505281008,22328596,268572783,763937705,31285725,1490149,193186070,548215060,904011013,226966158,15883576,20449347,380003454,124948509,851676191,202152941,230750250,325540143,876610807,793297544,210910282,113591317,675455634,973910660,343457815,123802311,208383568,659759003,957791868,81115208,83357213,872503697,458340231,247136352,264154363,702945225,612682958,636787450,571342288,71868090,511751863,749668031,189480048,896177882,69178461,687856429,688005027,300743505,146813275,477909257,902093771,119359819,177535230,938285764,334990553,482431990,333785572,366405620,308207640,181625642,188278251,1120001,764630472,561960298,495954878,802895099,778447631,948605242,672191870,249794636,459235334,608424875,18856435,816614426,754836096,321580704,762034905,220697054,499501758,689796596,856012205,84585822,31154571,858449527,335102074,287243405,972515664,160496370,487348865,862413755,565012391,379906906,681231134,486597044,225038285,992991410,251512361,557519713,802457639,999649295,303729162,228166252,252031495,934957882,370582676,575190019,922739612,480672950,90177929,502430701,754680920,176478999,107303491,695587054,754050276,441217963,656906828,703268637,176417343,446376324,840483470,528163210,560713899,12872649,583295124,310247923,385193287,723396763,364211143,236379543,476926827,479110903,390236327,354347068,680329802,131435850,899084927,49142712,235375070,414619974,814202848,262038252,182497609,621656340,107838354,207989677,611184534,136332834,357256751,678214351,243755527,694268024,445207774,641331052,19400354,301687116,405520482,854370923,490079338,199438685,698924799,361927749,551884346,542364845,430584064,73885538,931301869,796893733,277083243,299548105,539576943,756739912,589122630,153394732,850874263,49440874,139295255,895911239,848993590,253215267,352119307,458565631,500622962,665816443,40493780,924774054,173275480,576341301,640972481,619584790,217837207,203572536,462705768,817710546,11222125,833703791,224118611,894602733,844246186,242786851,1626716,337444821,572449080,907079174,717099848,12872406,700155314,853790999,865319040,14991083,534951518,226785982,170023525,733952829,216248691,295065498,318834367,982069084,487305924,665621841,563012424,843918839,290569547,412725567,566748231,885420703,194237836,607262707,825779317,495416864,753284858,899707563,673363538,947333975,796603952,277322975,890561749,316514452,367215622,76275368,967089384,677323852,409177393,566428052,355326702,737727008,495855625,766195686,591975746,166650278,964624876,479743051,292691259,199085408,459115576,431247567,835225942,398057778,57764488,780606895,676680772,651343600,498065609,415766402,676568606,473429865,949108920,346661088,797251586,724409481,921633268,150607069,786038434,921325784,866019834,555591873,82722367,175508451,162063692,235955513,966586059,552570288,566268647,133973616,39296087,632149152,743910111,491034962,625168313,522775644,634468589,698563565,598973149,329683564,766841271,703372805,584353424,311709842,622816196,435562461,472587272,208596878,545711741,189553679,348667437,37848836,80982679,157771245,683995160,515474203,20395949,160026638,201831632,12092947,338727075,621943181,818835146,634923552,579349428,769202923,291288997,649375760,344238786,518246554,549849341,196134627,703996673,128749066,576438999,923373021,131735927,423690859,404778736,488340349,563419568,360665187,143544584,821226407,857155784,688130769,356670908,583430317,933083858,253716341,878497189,341439357,275767077,453487174,264945563,656200217,448335079,719359259,295787903,602088793,186588769,967403504,689102406,37857585,96818128,446289709,869604933,121273503,234559218,263247276,159402397,765407457,533557146,879799386,731990380,89076708,261975271,704433446,72675785,990723421,531485340,968672883,161386409,518837508,96900738,822563796,719697634,831892115,685193391,762088336,314795525,588570591,54547269,326898331,209515675,537361501,768542759,2704924,353474983,178067655,659994441,645943601,75493661,19757886,54004552,771076364,747034842,32152706,994687684,860790309,989995866,643003328,38917322,500591536,159139808,835673109,583146859,82830911,969237702,346722052,795972089,405762595,64555013,147232281,186284975,340087277,258461662,28340001,145133800,931973547,977195422,23307560,748831944,835828643,105465266,537316570,894541240,488472448,737468322,93677690,531509403,992979434,955206809,251848145,535520842,374726935,839328306,308362059,755571984,525891006,45186530,691137656,239260643,826143281,3924534,339948134,2393386,376999174,755164266,17805246,370503312,738576104,828399565,37747151,331118012,383960632,890037686,234334122,150743545,541574422,922476348,980138490,349402957,263458211,279693650,755435040,190558603,418132508,537504248,144729177,257038397,63633228,209961314,698221260,430404905,285123583,283247740,584047566,106525573,80268842,809426095,27285556,641904454,33092207,221902235,489767643,652219124,812581543,468805520,260634403,702302943,323164098,637775531,329869128,974539466,378310722,38038584,148147175,74163375,53138113,976409102,256793272,372451042,185849953,87886840,462708284,454349840,755634114,211069115,759714956,607269525,790889615,121622359,142729995,321696264,365404344,718019825,380391820,858827796,394484442,613536961,20963351,666425786,642419765,360168124,935507649,852978796,810032696,495820120,865268181,144148395,718055139,316905052,295707808,720513159,451974842,640986466,116606312,455772103,175216647,746986152,220381381,807199723,249624091,55425477,33961874,801665859,319755998,839492201,596883187,152551908,713807824,650475079,545379673,688469607,257173467,731427071,770996635,977306881,400362045,45091872,467742437,549099436,424165873,688796598,816722397,245737575,497824853,209985835,291790575,110785224,855942913,682613937,925806986,154585802,874890541,513869099,115113927,191049290,331046489,436709962,520586521,262599836,812398202,326919529,646884061,70056291,105526753,142972695,41266850,436870496,449334247,351602553,157767359,646967564,5847910,91022098,291702335,864884740,147364380,306041485,430528514,397392421,787305883,785457961,400018428,142318447,27267128,424049315,286687863,186559212,251405344,191162445,694171325,897305968,157468355,891272261,109117703,497034604,407375759,55211198,257306500,161683695,591017300,111973328,482039376,440449701,380248121,24366404,757836088,30910964,905847343,62988958,565659007,607931516,435533247,253777236,249524255,155785714,944839240,788972092,525256327,390837119,324737593,420003876,483708665,198201857,216384065,582581688,758866424,95912084,28521379,134313930,414898912,50766360,600958917,632338924,958645060,501049669,977034596,43690804,923354576,162291433,918883344,540157210,81303463,860572571,524780466,457263485,862777508,264412304,601474420,786417436,218546496,707340844,955649750,158423727,780757978,138787304,904514775,319847020,879599473,26349047,253296952,941332016,267616305,945582051,921822422,579802344,158619125,403561693,629403755,490875031,677722343,885531344,303664799,173147892,438699578,463391765,924448359,706404864,890551474,630939371,344450522,843976557,396579427,805243468,54922797,666903987,776786585,649592321,94063542,567100627,428669819,820724270,976078849,333598183,740272345,9472894,519708345,432143133,798309401,986123297,600581039,300753822,656331863,897025561,505910358,916136263,593551690,635551729,27142402,34915468,590600740,402802610,807837063,715601358,193469435,212214600,941352562,384664210,681320750,713121618,530388947,365940642,997589877,156056812,336487584,736332050,813947456,874367389,110458863,365194718,45806893,650006198,468944422,466913215,749314184,671356418,799895305,225592363,440294891,33335743,851193943,963633821,757399992,845109834,545099422,946902805,406294836,650242597,14637192,196251920,550757873,96495476,237624208,775455047,622591480,906271747,214718068,185591323,94952195,581819315,694980611,745120141,915499347,748278701,633511920,144488003,666609223,600749702,31098737,508741918,972145225,157753564,237626202,635239306,231600519,242112745,372375813,761969309,16958408,300319490,276776283,47139665,378025765,846801746,819358591,718742601,478949542,903948506,575802445,832652970,16477097,193795462,589414169,675268046,811370312,937576852,917417449,185074641,826683548,655956446,324087399,333761806,37884453,159569628,413902223,263011329,613749098,640516753,811502529,997014111,558709667,593312586,652999579,713042049,640530678,795907205,58296997,5779918,531357883,632621011,438418554,247007671,706823417,546197661,585925234,830034271,142834711,354014519,308803712,948147678,101032523,511626172,724880770,122823219,869204075,205698691,859277975,649904171,651812879,781676952,291704388,48256992,980883852,44580292,647485547,830005400,993446947,294489882,986809708,599365087,643842297,657333976,357253791,398267546,452289351,380254489,419375400,526999252,905238136,133785845,155646545,997917643,155644299,158874631,159099258,549501240,75501958,258487471,635259232,808783947,112544057,955583089,331371423,852408065,68909064,922943663,304547540,491141468,451777060,792556049,117199630,874123773,284201004,156234167,246149039,904614522,151025834,998093899,150984435,990082075,788356074,754459656,656211190,793536570,760570746,246782063,366982251,996956613,468781991,823529875,68012383,220705378,551937214,853094121,700836205,460071446,814823631,816356231,496760944,42682993,241948488,960710145,992404263,655042903,188388506,308781463,476925542,673692857,265918320,540517399,845233919,968740565,171372741,12955042,221012981,328593338,978274785,108618597,983679546,356543336,499924856,454713166,131231082,619896204,979837961,584371580,838251137,150514397,880464395,289618124,122707954,970783817,337376341,308586439,464986650,841448967,270034850,776211940,84998276,487118423,362891082,962214481,19374523,587980757,34907071,588406678,831272940,797310771,861445469,762867708,434276559,736236304,239846299,303009375,238925540,358961644,252956070,228485456,706342921,783596295,159369318,105387654,895811481,912338592,689524399,541158479,68148043,632375786,63202909,359524886,64687992,853407528,337592393,528907896,844131799,95937968,412398462,37527326,22269183,619083463,542327708,831127949,809320379,538117152,988994249,737471173,771226652,443448517,841960765,24661685,931066885,97778247,938398770,156336162,696298116,929058088,576528718,277072177,574614962,112969307,326512342,767985658,116845106,561684704,639430226,283979809,379398947,450599552,448309973,172865646,180293354,148408857,647193833,857925443,66574543,624269443,191155214,157487477,750640198,641023377,156785898,572435761,837555642,417789155,627286204,690197031,614013242,207228906,5081552,309356296,86025595,66571346,801415372,439452798,708416621,484172828,57543287,253731464,40421986,23729660,643862447,427506060,735589600,578611003,554435762,453020574,866465878,315170626,677340828,338024326,715899750,58091038,642640449,904065578,624719806,210041724,370649884,6176694,800034973,856528159,123271985,671525573,559350615,246934346,719086201,795715840,930590041,265065060,398571241,717083029,548786614,351257173,302901296,998962598,233355336,191758626,500372507,610924613,389657505,790115508,678043751,608356033,367549996,578616980,212651769,802783955,352423374,60999796,22265752,176833355,272523510,344381619,78433501,476145830,489656547,970156113,999750092,40976203,776772833,538031929,549610938,196520051,96094493,345605987,546187814,216833120,876771838,824816573,649995435,286489382,321151153,542908898,720660057,658521399,447726412,160680599,334522954,948237605,813270377,761775470,595151090,405710481,93567640,212305786,724107659,61415952,651631718,545751084,630468928,590234002,286583157,439917074,708266855,924515083,502337206,72182768,29098221,995416609,286225671,200169268,470071249,635196129,884577351,950165666,726454174,452554720,657613276,873497506,355499768,398466391,447472229,919579030,330067693,156724060,186011527,247096979,416628426,276948638,727949776,482901337,523719507,937403003,188743803,31102352,39673364,936647089,592221138,437295761,352380082,145500255,598835630,102232431,428690733,133201008,706917251,955064605,445683542,847821811,13235533,585252510,712418892,271086424,844189815,314497363,337696241,386646620,977617902,149102659,746620491,350033754,751906858,859696001,614031666,591916642,766155826,603708469,878475170,12615255,767415468,546397593,444423393,196565011,952199677,218653466,261017912,487837282,586853024,72955245,191710681,945993210,458847286,871144849,63914246,552249496,614876070,739826919,995810018,841067875,203427763,700977803,785910286,130114550,904765032,319649434,191209334,141868339,265335796,908678341,44895986,594201139,618834845,57243166,447023205,874633019,666359197,407908348,319405581,640356619,973905641,601993077,604020905,506466170,850956425,15638830,166955425,561791267,686346554,115903823,113519442,131959057,998330503,288942613,540488479,995492474,24933017,819238368,542926850,278070078,18012023,734826254,305179231,636667406,549617006,465736366,211009901,760574807,496184509,267791089,724280725,955002545,279342650,204909994,924593450,242610646,398865073,104097922,152429363,591936579,70159688,696882281,565161438,668213993,262052060,65162662,824074537,371807585,205439089,454405832,652119639,742893994,568191062,783780366,651636053,972684608,130785150,518796688,864996374,810546823,251459691,281815316,556752589,452680129,329805361,560188041,948729184,814768698,335519719,54320054,906876265,997068773,300667398,282124805,466014012,262003898,105531224,578451497,161444026,818552487,569446272,344381419,963256698,505947870,263694571,959422082,413241059,207216939,892025765,929735911,882205191,780114641,128697851,559131550,619636493,368263992,510119515,934041601,12537274,259309639,458844880,575782848,809648547,5659203,362113060,185316928,326190738,760588816,592625557,348453953,710827666,6364237,564715624,373729768,135923549,288370763,194726191,924679955,389628147,690749079,107248236,381277988,13501494,803167399,283864282,128391205,678096064,628778993,401147445,853061843,938733155,376047194,427554187,562769918,531692029,671773361,537788959,410369089,700516512,817876876,886293788,254659725,715459908,279371174,156237833,903523154,61280409,545770024,702572026,167674327,497876364,598193429,411293663,403393801,856029844,997983171,720398842,280107103,948014520,376669076,817032944,223137201,164733036,850968841,124552965,116162950,615170706,908498760,640711656,96590479,753255084,169950830,236235204,501972611,814946220,158735517,497504936,183151501,327233513,132305429,917442090,136542475,399703145,736350544,116325304,585469091,416333078,948692662,545222976,884947002,762925102,968375974,593349218,343230522,72541035,25622333,984265093,711829917,590802186,696573831,377950466,441429880,190181372,300642809,401174542,13682513,864753240,41730274,654970054,646606233,612359979,408885030,529793546,817149085,327861534,70436246,882770297,546795207,902217238,280235664,333829531,979363251,120926588,627926261,690886778,777141234,231247195,868822225,67241343,278372592,607858675,160797347,898024399,245467183,746763899,41483768,780629919,925213233,432760142,998787104,927980079,353325402,170844807,127315951,718660702,898962647,454313126,891690896,693832531,103644824,135015818,69968330,637613636,269185139,981652041,594787261,550268543,853595549,25608167,410869870,206988831,702393255,141481409,819718926,696216512,398047961,29128563,216680397,859924445,833767440,980582758,793198904,454345072,185322622,264945057,943702960,3428281,75771316,324518343,824673998,820124127,874666249,786552001,798106541,456904586,52241516,164280712,834502254,397598486,522035539,476976795,874257195,92674321,705030142,5139879,324765015,528848726,697520162,401171623,975321740,274174906,486145853,439917751,281054235,300416623,959862287,898484516,572947358,102947879,105184660,557067564,173018541,516361737,171972566,793853857,281377037,927836500,735073784,755543807,500945139,575391144,360300261,157837226,680880279,630384423,580773216,281793424,755954266,740575201,924125544,947495390,582396865,119919317,597984681,989564249,244955979,33834478,829483558,566475435,173006646,465682659,526883062,33230870,911861585,886787122,359362855,810163567,219292679,910460268,922477065,200061409,324318509,292677602,40409568,964410137,412792573,869907446,160425500,114062228,406156927,173489601,604756042,241603759,687689863,135015530,626402002,59814971,664173393,891037799,611483413,216661426,9593361,177856247,211903819,861936957,143419204,594108706,548742799,247156831,347718747,324323347,631674453,646384067,834891733,87051233,339815246,100443300,850390664,5675643,128147563,719976785,350269465,74410097,206575141,32786053,651338274,545730925,653381868,165453830,304948106,485957523,588335650,294677046,318017537,517677248,707967166,404657146,872719093,541052357,563936387,438251297,776841137,204978386,802107491,408335242,832314806,237755133,353557070,751816315,829958599,612444995,37406965,636922026,532548682,543669396,633929606,741219339,678299600,156436834,231755252,432766802,763956104,21405365,727878454,884328990,168187109,609172858,306431718,88392317,265741404,334870911,678318728,362741200,56519518,863252453,983860376,465239187,261646502,65602235,484583502,400178629,946479624,954123456,617921721,909335952,729747162,179827756,601219364,149668612,244390766,920004411,93998213,115349062,568523639,589643334,160298099,412365247,687940535,511075809,454831845,15833111,553619073,567386919,986268015,494237450,615339071,403808253,564784445,968845658,581694536,41934964,608075212,932539464,825011275,426904252,550655011,628663520,587448286,13155263,694299757,998139450,402770935,601017253,473859303,450810423,692061422,371354415,707700007,696067335,988596117,994896374,156686987,90175576,710936140,277339305,587933534,778303533,811643741,675086127,478838290,40176237,794915475,95817686,348146223,701066500,130241518,567456621,3883997,653440175,239691094,162399616,34388533,285476333,568548574,356100042,900107167,647098215,398997170,815002863,749035479,395803339,118003746,526313541,498523326,888731431,739347198,776781589,249679789,245660446,760496796,132697318,951836075,177833157,183510763,141813975,416613228,176609149,446365456,959197643,117140485,204243776,964118750,421038929,727604614,753462634,992512051,338767147,874918365,94241566,322400444,34049754,750633923,525104654,330956926,153643449,701916774,1974943,828804104,477902811,260347886,138230605,212662097,524106908,716296005,828932965,564117401,311623521,570111357,48325583,565309957,151119535,242009148,832076721,93700992,65448813,714226256,881904500,397913555,986394889,384786719,202087600,639755912,265723526,207546783,177620320,47266697,695005001,355447187,671502360,946481749,317711771,33565289,373501580,443937709,924661503,54600948,321606620,794677852,305184408,273347339,596625910,348837334,343935274,687453049,663418681,356056884,263412467,220673159,277361060,889447355,948711518,901454950,470004238,413819728,382283961,138417452,605740722,996157939,711745139,249284275,327075291,402809192,744453636,19698837,944445663,148852387,361207738,350373342,548797283,179279770,886151107,401742530,189683524,854983356,836591923,377665710,95275059,88351156,83111314,517393609,125360516,266907728,971155337,201948823,153189381,71926127,134493358,636584340,18229555,162091798,670572871,774949121,540472520,238339364,824761330,496437599,741436943,515144480,654880175,951370196,222601195,131655834,91108166,38392678,295705870,333196877,872305877,318667201,412556089,797259633,434088012,590256236,781427900,391680790,438575783,876507659,112118339,32407553,414778348,688324718,565394764,503358945,379803959,445737035,158699961,553418088,36381714,136811247,114807249,384307988,730617848,660183085,945754243,742211791,290023577,53871094,456702202,860380860,32881012,742963328,970191790,936259215,739568493,69753001,516902012,523555636,466801417,572381845,909746156,607276076,717724532,611638845,9390037,739247198,275717399,121299067,675833988,187556489,589005597,300672851,821977798,960984225,528519287,74308208,960733978,889900956,76291635,217703701,697749479,531697204,549463802,526821484,879429576,407783006,406480901,856982442,909410128,853820393,717337144,1975436,113457691,286755306,869984206,524137002,778843365,763002458,491295412,415697839,967851844,810245591,908841959,949246367,470853482,912044787,866944363,489180706,579379547,174655621,820175163,310102326,633354561,58535443,896725473,50128430,648758461,682018062,197970484,719322875,393300193,454457397,524745418,857135998,666126741,797513895,419159096,305893465,322591995,876045697,9157370,372496841,840280011,210469909,182676048,441542949,16531079,792132339,660790788,809033568,747316805,596788498,938943601,11710585,172666543,371104417,401405815,848493977,11219632,113419791,137335564,795189733,532933347,237049279,665890178,656538553,564743625,880515346,697863932,501855683,713821112,174165014,127767814,94262816,171292462,684303226,125756047,187861073,184747021,248728788,526809937,618190795,553105204,999145087,314744628,809276264,98401548,699677790,930731812,469997495,94529444,367087368,730046634,954098315,493464050,155362161,14909055,348899367,576815533,610108398,972585860,963624864,525984599,575282552,685295240,746114132,654218415,348106966,4922381,116323393,251019558,640453876,852015457,212361977,839103717,370915580,489415512,701815307,434533422,124623127,327372175,164241126,279531892,374272019,446672266,558730870,596182269,665917688,11935636,823967734,946872136,159858919,485172664,94774043,367557802,978952370,274205577,800219796,154418162,676578333,543991831,635814096,131449564,487887037,484501584,816020938,498104948,41366076,957076391,228688971,393366193,200226641,670917542,396614674,927959330,906368036,354270123,211450321,56074952,473595456,761747982,120675608,644359441,658367149,123846268,28826016,830081658,222631555,812113607,938445554,68859909,896170052,917660270,315804298,960116850,148108490,70481713,372766467,368455291,16536038,906137549,171733539,470393834,19380955,308469556,206743893,66281853,46223697,231563193,390508776,939182438,343540245,875425665,630664511,977161203,24697313,611331583,217776154,752122464,822409432,474763640,406470958,346832724,941556521,251576689,873718098,914613524,922112992,816721440,207867327,682027630,853923079,977663951,234947733,989961493,705406231,819229097,765647120,512250713,484346048,97138372,836043942,797492064,816103552,835151401,53709254,878472235,15162040,822513747,342990225,283196973,368704780,982599155,691861406,44160637,689123636,488392953,739442394,639203625,602709379,601083967,487668109,553726289,228982457,12781622,406576517,136726494,141610011,490568773,678025066,88789511,102227886,606490376,443784095,909558772,467115066,919793954,325475519,170825769,971543620,780724273,730507476,113617255,488197897,631921848,108011115,262972314,195483433,352433001,471304983,16571476,855604506,431915080,857002700,175380791,470227214,954289188,450472303,90869012,53990760,295339327,59147350,920808889,198219676,14297271,181548151,950448394,501369842,688326819,232845525,445072087,252347719,400838974,728590523,200686890,879921342,181487716,757427486,553698442,943079564,907620090,581796675,472313640,882407703,863863697,178572111,712405697,297564581,52682896,860386830,905416558,540807989,337680093,790898552,587935348,544113991,645261624,299802296,149259485,343034328,526390823,408233617,935906523,339076508,755259492,858861828,84220229,890587134,627352873,319020556,116469421,205789025,638918908,515891307,24363605,804097411,630837010,849865622,107347396,902466808,784128893,539829700,451191372,110862961,780004212,459012455,658269243,94851582,496255242,586555906,405021132,252949971,545820600,245475968,875007666,583706597,110471429,72858669,639464041,891598252,656211062,597519738,82939104,300265506,570124159,418659655,449753161,669346409,808467153,880398206,895019627,4535942,265385224,540624660,368179372,519900385,304265685,745516468,149256512,102284469,845111962,873099079,977390397,424782363,154073540,796310579,702924834,136524919,125172694,921654476,49949140,974865494,344226052,294433065,774046627,557015847,867124487,724849990,825995453,798046670,961070590,206686022,569115195,758154495,813490932,87616902,29040804,466845567,715751821,875011792,363470491,903555178,276215813,645969929,30772478,29865478,113005018,874722211,372614267,5065640,958586751,735277886,934901137,420429962,398790160,443639130,875030893,292523292,203344541,296382730,837142232,976042022,79433328,860629216,927951820,137115312,643448139,656789271,137481374,378362513,553350394,444940745,507714924,619788588,743623026,376223692,433544897,769073422,976764559,330029808,441059935,518760277,848284148,327931489,513552103,804656234,801989572,390421771,424990758,479696693,304837576,321037983,920630561,330470728,312331798,877067197,504523988,181448149,305997738,53381337,171407377,185577184,879406923,658029648,193591395,805301094,62312627,659162161,101624231,160374514,534307724,343502762,453910470,14612774,462071456,512307534,853237945,388663488,245089204,537933346,853255086,635821329,893113602,220085641,51355022,735745259,758882227,428620855,685249444,685220575,407057570,568522373,723566989,920368268,645686275,239782027,19498212,66344682,892944127,253161072,173426367,33017317,461906955,461219089,330463026,936197757,559227139,470602932,932901662,838157912,588909880,853556782,219911334,332886581,286111018,995140527,801111731,453427221,114223422,324331254,301907602,939901216,937704185,656495405,477411365,800542263,270893168,109184237,499120113,222812294,740550287,327587982,98000374,231066078,195511574,132997763,419190522,83958786,91442593,391019121,798120878,518907373,814177300,859541104,139053105,256690191,62692280,767490785,767729973,742825311,102446961,347056980,148347628,923652001,136299829,528897960,142976183,263783076,587763766,248538485,489190825,377939806,855296556,957931262,774533869,384115004,827540469,52884203,843568095,877547904,329275374,375160261,426113676,252282536,227502799,436000554,469912863,655616109,506511100,801207450,130526307,725788431,303893506,233618122,480305794,435037908,775078976,234431700,219064637,511749224,962819397,666455759,624554934,987121869,414687821,636746845,747003712,905392876,557395787,158643051,498868497,498667802,833921766,762418526,474082018,443670536,426368275,348835650,494440466,144679434,347281357,745996954,727317461,134285580,372389153,356087757,766402239,870585719,827922125,724805724,340709069,652278587,870377283,848550822,177383874,403768702,269976239,407226770,986018437,407218600,952942860,539213778,667224976,854504011,455793167,550134301,123397924,99251561,142404435,945732386,385926344,498916961,989825945,331679357,155403397,92127007,150816802,718474919,376352974,172640866,349898392,628597904,39240242,179241144,451211,932735585,900332492,398715614,370913100,730681584,850244695,469331111,322172475,140876990,395807367,122030826,243312225,332199769,615092971,462782050,881489876,21278135,834670763,640002338,46625230,610265494,706209066,877090739,813020842,512394066,13779744,848482323,521065771,357050785,967207883,143121881,815604351,482846556,391854734,912290195,263365135,369804285,21131434,682702216,214079116,458851353,31494661,49824317,234137005,798760213,204519292,835034556,743340726,925892407,67436266,972776810,466495159,616943010,425721915,7480729,469834736,50021837,206313136,685059226,839902880,327327971,736641430,318831489,219338187,144583121,367915659,945328207,17301198,811839862,674241887,480136844,276482132,432468391,953201600,83319820,65302120,602959337,715150627,81114757,679203142,521803047,107171022,515290384,394494585,933407334,4338500,918467718,571570852,537434473,646279758,40108342,434957819,837380009,49373132,319319556,374354261,545165181,566141987,224823559,273770520,598989020,947397532,417556675,575825188,567091465,728716420,271720260,456372962,444706180,620806277,973214828,95540180,737934579,925359380,102296916,948916142,101795493,556601825,190300710,176358334,785363801,163177025,709311667,782268691,263388230,435336765,870625999,360855424,829014816,548546195,679107844,78608279,262946493,871856692,172147795,149509090,361331995,956254705,148079966,535704158,257152287,231590347,603880265,145248038,995823373,300655693,667641156,975804655,10806900,272251333,962434678,614807851,71690717,793993428,355082050,775891158,414798527,883894124,177261331,541005425,62945603,768663941,44910625,511843111,510176737,689235239,58674162,947753274,768780233,581057148,50285626,111622936,430410249,537754492,361712594,534803906,809253345,155163340,509697880,132243138,997810155,777305407,990240764,405897242,297608532,113670143,476786787,342887321,794388103,182543020,551469882,3548620,109134387,737779820,547932506,680707029,780359550,11581821,275643522,807295012,96777814,204271831,663546049,983061819,274812281,688307722,271350054,472266874,124699619,7205993,309273601,517597961,801030326,893367494,651634909,81794384,775132071,717723205,846315318,689211164,659095797,503606401,934910662,506407308,602530302,316400767,122567062,541607689,192765891,303636816,116605176,876376296,69965607,613780723,279585437,344498298,931090463,797715053,255271425,949386622,703077982,843209012,798959607,897935229,340392418,253858089,230621608,596355344,889882022,475877105,984413704,748565788,475640969,184150158,514816680,194713545,785267805,690008396,162222069,455487641,334317282,49900903,420992363,679984037,190515905,853167236,125002452,786631977,952780648,293727641,493560532,158792621,360435144,231213207,874231447,60101927,374752999,445286526,524776305,454067045,943589537,379176159,504839988,260562726,371250385,280124372,353739310,587178908,827832360,193425616,78704579,765061900,756955188,981601564,759886321,809691012,745884990,591540617,812761256,884141116,885396263,212149091,474507725,418885788,477545909,636950437,51906259,375827194,923522353,114317143,842679762,737111465,369328416,532716530,58474709,521789503,39654893,285470103,327229601,369214566,518370716,263597005,425379343,392666773,883010927,68943156,354494557,72378026,118355287,967021693,487574027,899675031,892131423,847654904,235797667,722197906,386848777,585543033,845127096,462097809,639581639,107662184,307089773,234482314,9329745,91377726,702007484,207941280,193570873,73339391,701444318,350548637,140285825,656777964,14643464,89317093,711444855,60716584,617880520,667794581,13363364,924657032,793248652,432737219,733798703,484737389,99467329,957036639,618554275,395893039,940858273,857365386,145910780,543474084,182850117,206196212,591106097,174377014,196747671,127542930,461202959,619103469,905604838,234958075,314864374,284302144,517694999,561544048,531156533,722250229,16120011,79197785,210579133,369644761,976034523,780616536,781062277,444558122,94057753,123691578,749385244,243981627,705161881,555836889,786976080,860892797,725147663,691348887,655986735,645887587,204974993,719407719,807595868,401965981,59649690,857089481,58494494,592052291,490115144,928788912,135871630,535912562,981314265,657191819,99858241,673439947,174013975,774807148,180679407,644528453,645796491,648409826,378277379,756190956,134530974,319349562,797378367,960005709,807902563,885626960,653487719,366382163,972697623,102116335,365594961,621723183,794044455,820227375,871577362,3559901,333557218,528902406,499692321,807271995,832392046,756382701,454012926,420467896,191676943,149151515,249139104,606769484,837856977,571285073,960861027,142271750,122913827,652881911,661163673,352207153,713256838,975593439,827635059,977536924,652281416,634987015,417008757,588178719,761218098,350051161,975760630,221700062,126945178,445313770,447461115,398116718,806264798,230043349,504725817,15211187,272886334,468101167,978643869,172927015,565140902,313149986,203449927,159079521,186390886,504518823,672120318,259525396,524223072,473286234,609662997,833403390,21612987,760785591,619830605,142117573,659285704,292258276,784837229,166313325,476089772,963854405,639074050,179644850,159333373,119315931,780165353,809213579,630135703,565164120,59477542,575070981,657950090,552556012,140615702,427131123,112045950,579247773,926332532,244755224,172368135,315379620,623470225,578946247,52285027,310700394,98966614,636306390,816721440,755748482,777048565,291294415,597128729,930182300,42243943,610956997,721938279,896904420,520702471,483534409,978139698,802548202,178691995,936246653,298968760,920764134,728659339,733683551,253243462,407350299,546345010,466616236,461460709,391247425,578847145,183322456,857097560,16790494,74424992,245271437,17228398,238244540,129328559,294192722,828254175,790441160,818338566,84377515,778481652,448400817,297499064,646772071,361533333,250293295,691791103,768470752,493330653,303107211,255989004,272404891,95622575,49656525,830696774,879724362,185607104,391485723,782379069,699845145,510340619,871341779,829014568,806963775,161928601,816654738,991746858,781439835,320345211,823196713,991854773,154883436,772875805,718058988,163074870,939449467,466933612,767266719,243438984,584698453,716592639,487445640,482144492,413704731,188616791,716783556,597372903,86988156,994506966,632716727,446408764,356004926,793239253,341211116,559528328,233274545,241271422,709965251,311289106,543974177,859986060,529504205,623275046,295442717,248695125,458709201,773759727,979922086,300408428,666239331,114250572,91048221,751835006,346550038,977803293,177860187,287052667,110242590,96296950,144768456,130248636,772995595,905675121,563185628,593257355,97405138,139024057,862644281,739425317,979695352,617513637,973535948,56704895,386039033,679862871,485721730,123488352,200172106,456692555,878192907,819914199,96318837,898101788,723605645,397810098,812079778,373564212,462859085,633323969,724293132,23096476,221760597,246350152,352693268,522791905,27010914,869790678,635839058,460263522,111161151,446182861,211242736,131559873,384684918,465218882,965501218,290077119,930770630,755631630,802989865,547231716,744422618,648647485,752100793,17236646,336471118,426091108,783043392,381808572,988024813,864582294,720024258,809892144,212291155,400138532,496765396,882414945,32344693,36282059,21602677,453441860,251084989,422550438,771864102,91267360,519008492,948577208,179031069,536701982,698806432,143774923,172080681,334976568,55417855,310499046,367885494,413630644,40399684,733185151,535236857,86654415,553922197,674798438,74866915,248221207,243600898,75485330,99707461,244252519,536633278,708784404,600577020,521869998,391540738,324282349,389475826,364004043,654962871,971182203,894112922,195518606,504240016,768623576,574031903,408524585,911561827,391633817,979534592,266416819,615988989,737075049,390373755,767122710,472173302,150800597,269701255,858872148,697788463,103968425,168159251,844427719,139932703,835736917,187289979,839965455,441808158,889508185,254789357,400698017,71891421,227749918,600605955,748717370,460672147,546085187,532236368,26252743,399863286,289732604,833763874,605971882,808549224,662321257,184863408,648893239,833078660,82975107,35196610,59860297,333364288,872303547,329586321,569314984,227663505,309303305,957779058,795344867,12925900,666144228,922155834,148177370,201342735,476288139,7031854,408888148,907013036,652498214,602358953,540940904,191477172,25280335,668991083,553333298,189607418,995032888,378994158,139401343,631052634,277823985,625059721,146827481,73021186,827391694,872075679,710675073,234219925,457763252,732344772,795326225,247629600,718086688,899925356,891716350,395918676,797810623,852490946,526682265,347990402,129869764,657513930,263703597,160558122,849834121,919107216,342436598,491692640,478832393,386550885,955230740,203796205,424871147,620993611,375356715,509807272,223555963,765910020,983152828,522238657,13089880,923761523,338995163,479410912,752252235,2930605,532867784,233539401,779392618,614329619,244444766,758098805,178142614,748504712,310236735,621416437,161196180,295424600,78465427,278026061,912628510,503877017,954623680,219268711,762092222,851800548,928961464,373195061,51800354,754523626,843721335,933436205,627751114,794200578,903441212,174664328,664682447,289497349,823386714,783281589,113057708,864423065,412763543,207521098,484938454,86243355,268449499,493053270,685227052,352968900,19584989,916488253,130925059,676848330,845211025,909734937,520997904,56958998,536927939,795004033,759868152,188507000,104917147,212967737,833416061,880062585,711087419,607208890,74940437,251662724,128979193,183250502,916383159,673113597,183681696,6707130,421365481,515266009,227378217,902891850,826572750,797880091,798274195,665276706,573291964,285180877,869445765,616443699,438962527,491072675,661819443,585285094,840706869,166830189,27568566,258653724,937228914,796369443,626966409,380689209,876145900,774750489,855045348,394298561,219231181,740692470,714036701,128692742,943136202,521469032,900632222,565640828,490702226,916209283,681875496,576509402,763051945,541639496,690221840,826847045,213033656,433712557,511408844,835757091,830862634,616715901,647894450,253018460,785009994,138203799,478567377,132954800,679479087,812108165,556259215,905677377,70514536,520818726,42124574,344249017,655227407,426727621,687703183,546854242,949248839,76679400,137127147,613249789,32090325,842555922,854938371,456742974,472711461,910301352,17494039,971099607,781903596,939703899,13668295,418420814,915111936,890427564,608903686,274922917,395916600,266518982,193160800,686134516,4934087,873871325,364835375,942255870,103810196,127047932,914647193,225514996,125409687,961176530,732660677,182790892,508305747,891765514,755132054,646516886,56852602,476686531,715521789,801895200,780995555,8319291,773800979,138905745,330878154,529834156,160341615,783942148,501180881,530287862,164478505,936239943,797284947,425796239,439738279,332851498,385554511,791649525,414023004,389736969,667034583,735867796,360322653,773908129,798960740,101162576,867061248,603514447,563399637,861603706,245621086,962040668,862464047,782130731,522625452,233101608,523437262,762387393,637985766,855688620,555105530,206637915,201629869,262632872,639142766,789073834,885177783,807287729,267682914,475873735,571560349,64562066,623932509,725941902,609294532,764705297,545819751,600273801,92381224,404564477,650729402,825677453,976003780,790750673,875489760,275011842,182173834,334896168,711715132,616444198,879734695,755596474,902362491,815387761,356424511,358882207,898891966,856008133,331745021,534421919,212325327,99372088,121890446,56591192,235744693,472108438,271278804,830807230,257864147,520453506,912453546,451621316,420320293,471580864,721027712,277756895,912424312,807142615,162503753,478020543,856694318,657956176,696275091,168637067,754363776,734843750,956120814,745553865,618305597,199823583,784953172,818522829,159609422,625497808,316207645,341396133,173898901,940977132,901820382,672445379,602260707,758918771,561234725,675001158,103465814,661044316,356610318,986543195,815247646,899940374,131514168,207480561,810495386,137938233,984859569,181719562,166594144,999101763,536356054,17463023,392454691,445401423,444675125,509891020,665655001,628650677,129357271,536835537,457209883,35146862,60110620,284437669,195305959,648433538,252266066,892050875,573916558,330824328,892166959,881112458,406796489,945697077,902266273,460693762,884045070,662159402,328478335,1248177,594477268,847287420,571041459,771798770,833063738,419801132,741769498,308621134,262451009,308911151,660352203,226518788,594914337,528012489,948327505,291570076,861258017,882344773,39051160,424300126,151193848,860398723,939100507,382611029,832840503,137282800,232653831,659596285,208741380,575534826,33718269,339957113,842994085,830688244,562123042,813882837,484217598,996503768,987398728,588304860,862471291,997393228,381257947,252863559,692447830,736464287,816631428,306378266,580754870,176253070,137152836,652188809,99617498,491361607,223481550,289473908,100347574,424294633,742649437,765422456,54167058,323151546,37987725,73136697,81217285,855773918,797476373,749844484,379866671,926815162,373068195,109790807,515141876,277202614,445285634,127171204,423087774,822863084,328939149,369213663,166530578,286408536,122001861,368640710,242962713,895486392,436776933,804825566,188042806,96254910,986479664,651033524,650207125,376130291,514867560,506048454,668762922,557645339,710805403,1103699,181449518,301921380,343188055,819588591,212902070,314560317,9424462,511325265,446086472,276743915,225015506,759077320,350889884,649340534,511460540,655981613,663609380,237436360,881831209,533831109,15135320,773361623,354971015,171082187,688159225,288751017,618313486,828399581,985325606,968135037,797084929,504235677,608971199,487810617,610136133,474308744,561043892,973564531,981405977,837439081,418032850,433382119,701076151,509491667,771028976,881893754,822381283,612664698,730879069,647810376,356971286,160053814,596320941,915994744,932185887,49587493,155598257,588561585,63889893,880179721,433838762,118366972,851398535,637150246,421024674,589546543,566389937,6633140,453472938,539074437,368841425,61818664,884788174,908159330,185921272,190732469,62636819,971682128,124374294,481202196,532447590,617672755,699283026,264461370,163161795,536418728,628418839,639258714,118480522,92393487,723326704,6786929,499814287,471468729,540025398,191713673,237745402,7991692,46970927,905027296,905371604,148745463,43815164,248537076,332647971,951178858,995341494,37921885,143108352,829733581,421828191,163971748,125282777,347257600,322445671,93219878,268928691,137877126,688491495,211205015,946306250,485584653,391613037,156612330,105795440,646890414,130950670,50543037,204771351,423915439,797608962,134894474,496343966,852625485,23268936,927432177,755482955,324184451,333428372,926591810,807662764,887403107,545517452,206003931,316697958,187706045,939425354,671760577,847383851,59137286,765944096,497521245,367516537,182365669,905508875,788443869,96755286,91525342,80501025,242993415,93908430,739969214,674996260,617578067,809821829,650663596,484439953,347348739,768638889,762090309,719589097,278180042,743462557,141647820,501434997,985967491,580765927,981872683,204381930,811918865,628051570,42179359,137102114,189986771,794204313,700471405,316568221,715331730,899045531,88015147,609625938,800099667,713220323,683633379,375989977,363448300,852819871,42419935,141372385,727777359,234542857,186757723,168731013,854307705,931509374,379142996,323726928,989790132,308290010,849169924,481571466,892874614,245273713,318020179,674304257,538118293,558466547,480923321,626649346,75839825,978205247,534201063,619764962,802183118,368001961,359154917,938450882,153932572,969140709,445882300,336787966,26458254,953062561,774838684,625192122,391025461,978246587,110078681,804769134,28718756,133113959,367393718,782742916,851398438,29073407,849924062,917887145,785786360,318559820,506989195,224356348,649408952,424972615,525723330,513667636,735137676,998083528,659217859,408333123,323715719,69180730,705443423,653416224,789994820,565674993,821686206,429878819,70349811,460469361,553789945,489512984,806145540,386250386,169880439,747244464,97839102,893579038,786762100,990421845,56014953,844874722,493382460,37454683,78670257,441608721,783765385,986706102,76454055,820905164,995695108,332304737,661094984,355826979,807888301,585956062,396735721,792927421,510675130,51275248,293387043,32674467,568317053,997100827,97620321,63233533,315382832,671364718,867976285,234380574,196830605,230412063,262097759,271702042,953723548,367517739,531799284,373113809,27894279,15801513,405091962,611678010,165862228,821776595,328990122,52660598,775270368,409813699,534859533,708706750,934563972,82603808,15133790,597778323,861694670,709156291,764412958,671352217,801822213,469672824,780227467,926492848,96664752,629060807,989701283,183103103,921657810,998316310,126741504,149175403,556405661,576135998,791521836,996962060,278406980,306893620,495661410,572350485,978170624,766824932,977001120,91145224,637378199,356912348,678421392,280730531,518573469,812006476,746786660,223077681,226039457,449954960,860876488,857523748,211948271,638281598,996774605,768016347,364888746,89778755,93459379,147803200,59498766,90103100,895785640,835546595,596507885,469789432,436333088,13515465,23149870,257849151,334159039,162801240,293369863,579020470,562488036,932348118,247750629,89321391,602347555,512407001,547459831,117020079,508355445,777911474,117837629,244528978,324682794,373268979,49854769,489530303,914723331,953494865,458840495,300861627,829288652,695132910,649633463,111575188,263752670,315166736,209458725,278684041,601706487,956025358,10727204,467097086,644017055,763488785,515266080,246025191,899091594,3738487,974739917,118347406,5800269,386137711,637717304,908236878,976446296,971077351,801337355,753414777,434108784,59720306,919054084,582472901,261255031,55931310,156987335,745308173,118444641,789235761,135061872,581599069,887289800,128752306,220194953,759227246,180345504,208415813,894274447,294791668,188802528,216173502,459494631,54830372,777524638,902372978,522621561,249563693,263596190,292143581,759920934,860708814,918074885,735196943,357682324,301449004,631801535,161529368,947829401,500885443,34482715,591961159,424459373,607519439,551221579,636635697,564963295,345817413,184999660,361207779,628336713,879600209,526763986,621373276,783516735,951075997,599654573,227254972,736746047,44147050,494064713,262711274,145013306,577811410,557802000,183112717,257719732,892764035,945179367,370248083,792824279,47346647,40280827,90904695,849453399,771790415,792332684,491510568,195136096,943776074,308127539,472497984,859630624,737281499,629433717,881378836,368874568,903179528,299943158,332132978,174373201,520871122,742803018,842334851,115737855,617494609,96374133,285855153,147402444,822940626,565408179,437190215,714670396,196099160,643731571,786330918,540788410,530690290,609393236,401895709,218575767,555734150,725986740,817723691,395012371,761638521,340997989,958744273,257870508,993334909,93723055,270867521,714445982,270053618,970320863,195625385,8762629,724423602,581137281,353744754,609347862,192314514,911345588,761318548,944955624,483009507,702505002,590910864,85491915,184169878,425952042,605348992,913175082,12952999,643536107,131438677,284040713,953505566,364522135,842705601,780121833,756930541,86801448,633514902,520770822,465707657,726974508,122745830,246267790,910311665,222589619,207792722,382383720,761203130,824610515,714059231,182877716,899090314,140222348,414710949,906099114,532952399,704381893,950060422,932170433,437843112,286819311,233681117,104144656,240475947,480419368,954422521,926642689,912221275,580593354,331814545,766617163,993769254,865502380,180604774,489933539,424783024,318073629,815704791,166909235,190115599,719148202,692511164,91922100,248376364,314472117,558044155,327072850,201419685,721496173,740620316,492247143,408886561,620725595,985727458,26311209,757817502,825601017,111461838,374533912,992348710,363077426,945249365,32836275,566419117,460803059,735600974,90478259,560790458,191882737,350407949,11804719,135619204,942757582,815892470,4537934,66725409,974873117,710156323,30015365,542824226,905911808,317123249,482563414,60350217,94672854,728945030,15412376,373037033,557502714,831607417,600707723,874460316,195929260,294435024,385980942,900229392,971112358,937159887,536216921,757082019,430723652,969312622,143423698,6081719,275341105,92120724,96795000,935427257,674972764,798065588,510562755,83319993,432388979,53424438,810311927,675079661,370580978,365243105,87732583,2882255,17771025,742973988,336610435,127748894,744594067,140101965,717267447,414710433,656219456,201041005,366131947,824828229,395382018,573557049,512768501,945970728,183879823,527766009,524070383,467319246,979173261,23885322,525320798,395508976,729034913,533754066,527912820,374303513,870552722,408544893,150994149,348130103,825040851,687586118,174072632,313990236,195506512,818399079,589998819,836793423,748759435,384107578,41136448,346176412,337396409,276159194,389110244,584728006,805391126,170446223,34294827,369682096,729509318,592566414,208080800,361228440,815015717,47873658,715633554,529311783,864597513,87860861,903871407,312167924,591519727,235043341,302380072,391789708,168494676,1125174,815827735,650137046,204107518,551473510,632027968,353466026,868788858,713144948,67511840,823725057,168146451,77268905,867156366,415530936,939534991,936154520,948180741,88895648,177809060,491928369,396964091,546372196,24582472,561250221,694596976,447580062,789100619,707258400,929826276,606470092,608215378,6308158,68569088,888053888,156055316,888733310,475399663,171045534,300667620,994529895,138018895,890463666,773386457,816633221,696370375,143285925,157021355,930704158,619143769,436889949,722619719,356928571,877005245,431523799,324621358,778427551,835352926,449918360,243657341,342203357,492959422,927252971,381402047,639839692,626847995,284409679,440971926,351819459,111091505,778249399,416933197,732480196,400298058,649842485,257485809,544242353,190674034,397225084,897776740,531640999,552442542,481982051,488199327,723564743,903706625,554514669,440746721,840770824,579550990,372251541,546363460,182759234,292920219,168658082,11635852,677847836,875591147,946046711,757928682,262633201,723803348,957109494,601843109,446028009,689313484,53065876,474245439,742292792,501705683,640672328,961960200,776363489,25868408,247369817,438106492,148110044,25406683,434421740,474567156,517417407,227836,216571535,696060875,819932690,438409551,746612633,714960360,258043373,919725359,244736164,144004721,633854018,699910831,119285341,180305344,182637091,537144892,732604112,824261122,136882175,53047690,626957740,512340722,669531673,98616653,210022699,211040046,407852366,724787426,581357436,279503755,7213190,819991786,95057338,771874576,917473337,379639651,431340517,306459586,215332780,631614278,139797082,960076907,754370246,939794091,702083533,404923056,240200652,923833375,592841415,819948805,769888636,378152077,185106724,989314092,625828513,675863223,823031507,268353287,73884878,953170080,105633529,741159998,557591044,23929579,710033153,613426099,191282792,533152297,772016202,625634691,352459930,900988511,844431327,575958148,289419900,125159341,585345210,781212033,283721180,709662586,592516046,259839910,978333831,121022906,286340168,550891493,591590552,101237116,24268324,10045797,144525647,658333731,437278351,27314616,802462076,136969380,45885227,862572373,230832822,960812929,639468122,903590456,570465451,683686441,839882516,595832832,710235814,384168315,956496436,141133164,783082777,35211483,200633374,366713864,215441694,48580313,403181808,386598503,42310998,56810066,227683136,234402523,179292812,479170291,736932756,110998376,330726133,906871892,397970878,204322857,305970720,41379210,294628506,565289032,858840491,668993350,104598740,794296366,700715468,39854651,169178891,503368036,253508405,723804855,53877247,618359392,679618434,959000129,796676250,616441601,380456098,82737501,800931696,774965111,848386829,49951585,356232259,636739347,164318676,843507507,355422071,840127160,737760200,984928607,147000171,383722448,416221705,93833318,655644823,728355826,214411038,123529275,846141340,522229601,393672550,228622325,731490197,320845602,704405900,310560228,998252763,407741942,65234895,543383712,514928762,330954029,90681486,812138819,327564962,517940684,606094386,937740654,455703340,117706005,151586059,432987679,420695420,457633301,711436949,170142163,989614554,206091841,127358526,494671184,709167715,518821783,713895580,517932413,751629723,14926485,869126154,451883048,100194099,595693740,871918228,515739778,731979985,659152008,525733438,449980730,50814764,298216209,226245251,855290571,674061694,552292212,82903996,912274521,811961074,385351695,753196216,352466203,901336790,432012590,221556139,921033563,755684400,970328114,519947152,594898594,784739163,916113861,196890368,874585276,617083802,136557470,649643861,506964787,46494554,584934542,77488200,691453480,239519828,567097581,808809062,143195141,832596247,158253340,996669953,690183733,164033892,865042060,173848081,798445170,832175568,575126593,371187161,363348582,972273077,720235957,392749507,844564348,769089509,54158992,138218950,165070803,693164461,669468457,616041694,365307097,452360166,638255383,435915982,328306648,618910800,438320222,566293061,754991206,199151950,797707559,356180326,673687925,834897342,582677295,532159549,119448085,68534757,29114738,528989674,154092751,981364903,692892188,557927055,448564024,784320594,325572738,530733979,893751785,786660502,887240991,844465255,830618084,4133678,336514461,628770578,121278207,566279062,707093197,256544382,765169177,871635194,134013847,898968454,720336127,503288047,649328999,275274301,2777535,433077531,683015843,659795675,365215316,96818206,563947964,414776342,950440447,406354468,43603539,910312622,956299967,934984104,14717383,746109779,871782930,525852313,7229394,541006536,51853530,113144863,568738518,690780040,540953882,244161804,855634032,486703147,51814560,82044715,207986727,124733813,742357651,959696328,370914044,406776525,717694801,450656530,888410334,805122350,697014077,329782798,684066919,744218380,814546367,326148986,195420251,268634400,364312180,418921466,684810830,882274919,781018305,628920467,505292968,54629407,876854453,675111157,469693007,940610723,739938313,285394510,242535789,689780335,264834821,59743076,212892685,494928477,865121847,114047745,254717231,736146020,661752033,538350061,372502980,28632108,966959836,469731158,433485816,676208333,975349879,853529361,316746099,917989091,307934617,913047788,362531365,9828214,290132343,28582016,224186148,692153206,306229690,886303777,955012482,768677985,895677810,524921679,380192594,787723361,298067355,679081312,469110918,754854639,81924332,718435084,767078915,896919813,450236868,921995588,390246105,107594349,840250913,430040452,245551671,790237672,972188732,905410192,283588289,76319427,1953829,984690188,819048049,234285583,898805323,166827536,332757137,372170547,600196656,884261314,757000396,816198634,643293044,368797728,633368306,676992131,725442443,278664049,307451753,60450184,973273397,586303062,530243954,826090480,164023723,292089605,313173090,759788145,366966130,351128173,993446006,867727350,310504024,821484748,958661318,982167731,174182212,895826212,367206230,51714324,172497868,88526265,107560657,499971790,835569259,75379328,680953683,248855453,663252792,334756094,471370845,919919507,203137975,837591398,605821711,295761375,870390476,454047899,86875071,501959246,595614486,871257144,805244777,686602375,97402119,213617708,17962089,397271141,801498154,10088796,864452088,941186551,220987649,751093228,180103596,15259901,394860076,492181443,779818980,551816743,792097912,371675781,118800304,971046353,578787355,745283687,898838230,929609563,628563182,244525589,612009433,531126330,735432436,634427210,30904382,47012917,415143815,892900063,727841477,97507326,603893349,344392185,765021468,325826386,755141794,775295804,524954649,814806360,54875433,413900528,242145815,588076475,949067839,165105209,382965679,614790819,167258856,509033375,144033288,257385547,907383813,202420016,828423000,823520598,876569297,605380333,79087835,357294120,334628033,807523102,565769518,671090412,71000886,772062012,535036235,26492858,694418796,847204233,761383800,658251286,884397048,570100108,752880756,51160484,127662325,649289147,191834925,135718296,474759814,875561012,138729188,484268089,766030120,839443707,589601561,923864260,657757261,736170722,23929549,104837711,736243232,599807247,279468157,51308054,923129622,958712770,504817706,119846292,89664579,277358290,362354448,121931789,443824432,917282732,744924466,643658702,814190511,328840532,666485050,264996913,176466371,559255632,233449185,26643086,701586001,422484058,949446166,205146853,344927748,856310311,741603644,63541304,285784266,185708516,151763083,533092041,960411189,164387900,142035599,370939951,736225597,313181333,18441862,11638378,892655906,930712841,836360315,980769074,64374548,731066359,31228323,559893625,230809421,308917897,604645639,124448451,949392808,141783310,351591175,733660387,980693741,256134743,918910640,585764265,477282286,834303212,632914647,561443753,629849802,70104236,635707874,328049098,437909819,471459916,761010643,494592543,388747507,138615446,558960602,198100558,886585961,706134888,200849171,607349207,719832002,331626448,829291681,781569256,953458818,491000641,842469982,518990874,162684443,257859904,623916918,324098278,536872015,84024176,720646416,279532184,420780377,566142365,515336408,248690810,843833991,730656414,61347566,736819667,743262351,706607147,645240870,293782234,713981832,350674321,43867152,91788976,60521529,978587899,408565530,409814186,958029339,703428576,501501339,983605731,849950009,135022010,742191812,161869299,574559176,539217270,916707070,614912838,966594606,532483655,990205272,92525681,451063482,851857001,89026378,256829322,152545709,355442299,423122508,155275014,7791950,809646393,601402222,399442556,443912113,360839500,425879213,334758001,778866261,493430435,557843589,217592053,112139442,993512353,560733302,467387059,400760436,810582945,637234760,793921464,957269548,43643240,370281577,116203127,636985677,123688593,946653773,118631620,911671814,822988245,160779321,206506209,933787411,987354859,441180683,197235128,630115926,954937313,142541167,74316008,645592813,613118778,80097437,489049881,526865403,178436918,279998435,193369089,43713251,130108845,573699291,660881097,903952780,386140115,943780511,832435772,736077324,589294049,348866736,229378043,662842259,208250449,249592652,524166960,517935951,181437462,266321615,647114967,145665211,700199349,128102439,272020345,188660775,578868813,475635983,415227190,433636699,446890070,822714733,360183442,993794886,286369680,757584438,337765081,587652394,793501906,799225912,646786255,803090175,969713399,390345449,482133,238008343,444033664,818287798,188978431,745776578,553807645,258760999,118370225,454886459,998702080,826135020,634591522,776445064,898460379,550066816,716682940,58562328,536554566,973304634,744914493,527091284,893806021,176029763,244340391,931318909,318996332,438145314,890309255,781108666,135078703,830021614,593111200,119230352,994499987,988228680,430298614,30775265,653131574,902368065,202051908,951682357,666790868,414004266,820575465,387630233,733445403,941329274,990255179,930129593,902782929,888496984,732366859,334497578,280315454,224705134,518870039,462684997,701195466,431276433,354954237,332528989,526701758,222039935,212732021,541677431,893390045,953929262,924633831,752552177,619748582,523090904,592575439,306502796,56021950,433915458,660976403,867521482,694443500,604988036,81875217,321296141,275087944,854011115,700168114,984834563,356409692,362492789,634664659,521115103,942600023,584087876,834181628,430578483,575738974,637671077,469827815,689813572,90265612,481492625,85732439,65939351,311646556,106689191,827244654,682942666,234034547,496114354,315421004,537725124,81658901,361132316,73259857,34373783,36962648,18311780,48928871,99460691,243332212,433216654,635715607,338782311,148090685,829871319,616434423,691615996,728415765,164752684,109533794,54034445,878822487,281563669,102322265,173504882,805957446,253081691,154028298,908251098,151048198,770558055,394323931,711870788,400767929,273529888,364710894,186720063,203903383,764083177,951489458,830766614,481194371,14621108,526954309,774921399,72318616,413726201,842830643,375469294,13298591,454712912,764834303,788508992,252635712,40810356,602998310,212062367,719478248,202406736,84058777,419072272,919686461,719472718,942226558,848998623,471110957,726226044,585560562,248926452,287946280,781111867,439378031,435327629,458393081,345388581,764055753,635346153,995493057,999318935,166202898,146460462,547866916,314008766,575125012,526199502,100729003,802542174,227292368,163373902,789181259,784936329,582074407,916913627,388305321,964550089,879746359,296360677,48880930,475063773,806723686,367761152,734352311,547827477,93985803,407018146,350793919,800042370,875703632,439618456,906493131,865901709,181822384,658364560,572982154,113833042,917276090,11693876,214673957,311293959,619493371,743840433,178396345,892215163,65350740,198446589,839043754,947404763,705184818,322265786,611095208,678771279,762685184,290268075,858188852,417274545,666896508,651035059,431098723,267975097,700798166,125297468,679727043,697366672,671617066,457340217,801557146,422118165,586395874,446228698,806908570,750017207,693706900,361580499,485516320,44724990,533049460,805446622,16109379,294797176,450488698,258496215,742998251,357327876,488470035,53932170,733579744,375616907,494933166,253705259,316142911,816123300,863435092,946349868,207739213,235122677,345149888,446498795,64894442,406750353,204166487,121632622,610367127,468610515,938747853,624565440,737699201,39908753,342937293,388778217,891700802,912726805,338990470,300781589,535591469,60283705,400840888,40615297,676360606,110419657,283476080,470854247,930549360,545573195,676024003,834939919,496803786,744460140,334970456,725902053,205588448,692409843,715708029,145765591,640164725,209049938,892547168,372374694,782087313,459908562,927800101,519926632,449367535,475777040,814154568,159565715,93717517,398196853,648027168,230889678,555019749,614878567,24179258,530307841,401940222,40096179,58544007,175241394,508696777,733975223,739506865,63101122,660868076,815425855,553439443,741662991,49367310,973353871,736294270,573625999,143745089,167239276,299383102,691299085,308585450,113098141,342485849,610543863,386861278,768309757,367149525,431876488,155199268,453006603,839647272,637890308,916920232,524915412,893376600,625749130,987669124,877942382,708176307,163331506,844411659,636495281,381084681,836225143,729974134,268402178,622649171,395847654,801204711,613592121,38963756,711407077,635772023,112423862,608481177,227299789,264324762,499526228,593920388,552608969,250193284,189675826,851581719,305132085,364595305,385995094,541906033,720286621,846265824,660604601,563943647,142319697,489304840,336206377,875571355,166225042,863450759,321918575,739441737,385359384,438148633,540649135,949890102,505526412,220230922,563877759,592002549,806625451,181168378,459373761,217738991,65103285,934432451,657638050,438468108,582302514,567301915,234851119,377904102,303827571,4439966,665885741,393264566,760126680,993792681,202067685,220013635,260253126,17126522,599289121,286522304,459392316,392303278,466967180,168397669,861944715,586002736,963080404,165018139,77427952,399668067,51565447,831601194,19374143,221980898,365447168,953070310,943440277,39255069,700518809,565266721,588521731,392928183,545733900,37067529,278300397,365947218,6414400,17322264,710992824,938712028,672659040,390046505,630681429,855799997,492270589,710250378,358252438,902747750,963508836,184212592,208187661,622493648,876961865,190279506,444931092,3569175,426657486,521857654,553241548,912453445,986283270,411663500,308519804,714484290,291860157,902550831,180218607,936211190,172163521,125194202,691828937,825638546,187602245,885840895,683826283,928031406,409512059,779798711,887948398,317401364,900813319,100453837,692534248,220363263,503959144,650049882,467929218,17090900,687598231,282930285,327684814,718787869,283522129,508547076,666664349,483427660,675148315,559771911,950674160,305304092,248285395,20846614,277863253,80540330,113553152,479105288,164243247,711528688,149515993,61327079,851292848,613958905,11822622,279781806,4678630,542162722,203409494,439859533,152669029,536542770,497359022,340902631,933938399,931731480,484999951,177895770,358157400,952745828,503469208,299227383,641598932,698755356,312496985,926820703,24415843,522048737,185409199,754573385,801093688,311039048,275638742,734159497,447299729,467890320,924539263,585246723,364037368,587482678,145386396,578291396,647802789,718212635,491798369,699884659,223265082,114290775,808657812,914366379,285083303,633830080,391323301,317844762,137910128,7429141,157169514,553396773,926951609,407660907,229914916,424037404,474239163,135894910,378560755,431621856,244496301,408886082,945790534,143994822,773243772,784665997,362944750,98682425,478578304,136772375,505509732,361937893,427394957,563260755,785897782,394268122,978402286,872602058,418918655,620525200,521745199,273641193,458654650,153242581,175385535,737491509,962774637,64578567,21809593,280397988,413964542,251878004,615720468,358993063,284589062,270427074,834280022,1667835,188729218,606363219,939840313,151686391,581105088,807374800,697366784,834634790,359724875,20786639,678237904,650350580,573539131,757913914,365119059,165928424,874006212,798655700,541045081,337959908,488762174,591086912,617240359,899783908,491605222,772119427,359591326,350002738,257632258,966417521,206887571,696443034,111278204,166917297,73854553,172680019,665494600,632976158,522167320,793650033,742275607,870886325,397284944,723803107,469315497,872750341,582366362,241910306,353221975,463260500,881109507,12700500,913640,628635474,305054978,934325647,562135430,650292256,682118248,252113498,929083330,426136197,729623682,459776616,642927591,551617976,213600611,458374999,366640695,320649836,836431204,356274160,439016711,271513484,57669468,761676005,46953832,264371353,517646572,831585319,282734509,345134425,847115765,429363979,927528575,441424050,162982009,582053405,337212788,705211157,603568638,97459067,953378280,25312497,734596284,688505591,851324149,476896744,990513270,914231009,356709206,9278054,408302009,116508763,371947152,327254934,82241609,815473704,143596533,902266859,839183299,686883965,977878133,63228038,95837940,542544385,202025370,854343637,825793945,937278935,208290561,26974805,677822455,463277909,116781879,989468501,632889397,739206824,664915879,149955813,164494161,747275848,936841443,603515041,536066120,10421781,167083599,35412506,33242408,929066787,35660746,825964745,607902800,395003602,8139386,935735775,28152108,202403018,769008167,341234395,577562075,431018016,99671317,595015312,251888544,582933340,79424393,8788042,745787096,280692533,473429334,175912819,513350572,137878443,798448076,594792063,846429834,697773027,818778652,239656537,795844325,69307893,212637005,75173913,196026865,154086791,426260476,380781993,367348334,386244551,979019491,121723269,289179090,981481979,838403266,317804760,978431305,950888140,997845673,331729542,971601254,926816436,782626720,361075449,237442275,879591311,13356060,869446643,334157967,883555050,851515175,15079629,736782271,548480422,249371393,208874941,599798492,901145587,52973619,492114761,385774916,217316340,696740397,276889089,152616198,877758806,549934384,188455903,642080798,219991040,715777999,324484559,807892431,781860050,272566717,813749847,117540227,837760263,646903740,857892920,829504824,589670208,368781825,615757027,949588867,360461699,72031325,175071235,393354655,349895705,267374205,242204920,711657173,167596278,534048617,527841972,539278104,815988177,881077964,183174397,314990768,203521435,75687153,137483867,539371622,689403412,341515902,225654106,395790815,716285311,388020625,136865294,794529970,913532407,432384515,323235970,117410198,607063512,111306202,948501775,253343278,105270065,329977329,946314966,377140068,176906451,454563089,152453444,525209700,979993293,697795660,619981965,72063258,85691948,267533130,741186707,622860633,722619944,293332405,848161794,828693988,106851003,915102470,149375872,449510186,555687046,906783505,267980869,14205151,207369613,225547270,270254217,974492995,877655412,523758970,118926846,383875423,496333812,902617734,754108699,512053625,2035823,358904331,178407189,129415016,342355721,738169600,777916963,395036161,274616174,839485442,407126529,906159071,882883299,828611228,645665906,458216734,195112314,175015070,116139245,183303699,480343661,804870296,520428672,559753721,416246747,359414214,260247578,717121252,226905555,980112034,864360083,584812408,123589901,893186020,281301078,299846521,193467716,33177185,408979455,922251965,559373432,113287777,80633071,504990024,847140235,607989342,181157719,26048543,164041767,380902168,138201298,557549945,223731087,269258919,816638917,885401511,754565368,436659607,291066919,145741757,961277049,380354473,308183656,342541957,910061103,418486209,980576415,35525516,800014245,161965776,86078841,893298894,994979910,157609178,151394215,548461989,978690411,38012077,238930263,511194983,197747026,232042700,178802259,916058108,41556938,721360653,839961508,252084545,760390706,758003621,886766524,828985735,830062769,656040165,868860344,51010246,437516428,517487845,388208155,595427375,867967596,204162909,102896991,525765314,50219312,420449105,693356091,473523505,601239628,353170848,388864723,999649892,768389739,533299773,917155856,174288340,584527240,747917015,73150528,627543555,203775628,209746035,244612781,876234706,601531873,999348736,904760577,895774028,93357328,609600389,624753981,478492283,898338575,114527986,358948905,893734356,332479109,461385452,716952785,395179355,496664423,794767583,237628512,640585324,563471572,437190996,405506052,895330092,356389936,583977718,810304098,746667083,122459232,243236230,553774828,959601913,388345857,929498248,500463763,378487467,793079972,942187788,62933738,958026540,887678434,636779266,260494035,804844177,423036465,662784359,730793990,38091930,10535793,615670302,705970924,783756237,162614373,94517383,96023814,214187766,558384162,733949455,650184246,459975260,590075774,884394385,445727756,148469720,858559774,98360516,215252418,573310952,117066296,969111462,689609529,161852448,684784608,906920449,833658598,536096596,522244270,459035476,321299872,205064247,574647572,119849120,855899529,669794822,500864876,612614967,564615427,619029242,537581145,450183856,576549130,952084169,761362544,174971814,653749380,355312683,629732380,118581486,934854342,669451054,636154079,946354387,677968894,577377799,977654735,926139226,458957062,462480882,508306527,301656194,938212680,596922786,319475923,168680404,116673983,833563711,91963659,432878428,55308345,729964953,2605984,36813072,184224502,368815443,953443104,146224318,633089317,929984544,435541419,191571073,965089204,964785890,786750942,788423018,812012263,446900207,257591240,147318376,331457961,129142666,86903879,542965331,809006415,750561917,937919122,700857591,112244447,140620668,965212633,66525560,93023960,538819316,759995479,143789329,619055855,809659547,780591279,440557650,392792125,936962496,251662839,765371250,106631101,733159304,577683461,814150046,803319139,223616288,722765945,986910645,578947037,567622869,573934147,298987415,101799664,202990837,917549458,254108356,531312368,824046762,63994605,222811644,224641046,653302890,406824973,445409041,44036677,798184805,933786077,669345801,64449623,93090855,374164052,986058386,801223459,895945248,557702942,918899187,716273874,503933920,423160618,464210086,626190792,538518171,372870728,146287741,559899866,251265478,501736103,428683569,595248634,531511572,256041942,750833885,630519969,475362729,436898595,796196298,310802643,703742491,409926550,2939558,739065256,277898786,995480221,655240668,239856798,659132153,921705584,463024316,666058234,462608969,154775044,785339768,397038090,22370043,754575246,933322081,844110615,913225990,641707583,34172023,641666441,41836341,203552616,277678799,340912851,279448145,120808465,919367532,421807628,459859159,625083149,359155808,611385575,458460908,290078479,527629716,453086809,915763266,182926633,289844778,947386328,807841971,420093857,646641937,574831540,570964383,726152207,690277460,933465661,626541763,163765759,438001581,776569882,909213947,366143732,669010183,482753996,879426765,833536115,890731412,554900746,204194929,576795434,440185543,35744270,760436040,61562440,547865427,856423185,215871414,143543295,631406986,971194924,687732015,311390818,947322125,302837983,364371797,142280683,650806693,908934057,121100915,459352816,382665644,345388990,786277373,79776065,217745070,679864474,473833777,280683396,426421582,875587930,952668025,403809387,188666232,741381130,585908261,784460117,150658051,67525293,797558573,713845071,5783057,582058160,281381108,375770262,381605541,718805733,959058704,529710781,758556495,623147910,265466475,457372028,815087375,873375635,389490230,784527077,351132088,208493765,603226446,994485567,187715850,909635247,481381078,957321954,651767830,857500599,191566654,698065404,83996915,507463213,386863835,530807300,428361531,45557014,851959510,53911109,947791015,694574986,589439344,614333407,496288070,175482342,523348990,415301653,266407009,933363089,579759363,918364522,557410228,78567411,38538050,154327643,469533142,753589414,777426760,638826193,825649620,89907962,728404907,181665517,641384427,61170406,755530815,879667761,441834414,387070740,443710331,274651599,628218557,240929846,195153231,226397848,326249576,23008334,983828753,176143110,682200570,322975464,563615797,413647125,347199757,90527143,609160732,30202076,729926884,19018197,443847009,2056226,732386855,96255813,465133430,289170979,903974771,292253001,192679053,243360013,134537096,99766602,807397287,643739721,981318126,59186993,693108285,755467678,261344437,66051387,20307871,280451882,587806027,678313826,821138298,358931056,341664076,903050105,369021547,241913813,4118166,721260297,91205646,288345344,660570684,235891322,543579682,4574591,968484657,195947551,429876265,534859023,929201296,769585755,294844596,736368465,769200996,360024085,932716010,925847482,25642136,13680764,65468278,746767261,433989579,93961373,252184113,874095468,86022185,94250938,929508844,95203134,174494517,742674704,884210820,655534128,739127169,355958031,765742297,64566443,131905826,468070283,297766841,11954134,247010347,425273250,595699621,591653440,634060401,284193151,192354634,103895310,660768230,294360765,217806469,357771498,801051808,506714138,319280032,733166419,909887961,520667370,766649218,719950933,280315603,541141095,579706092,243414616,748929330,986590903,409008601,777891076,331831488,81154545,707570872,418533992,534758843,632807502,306224007,414611410,905622216,464951972,186778778,970150597,909608250,132105028,907088217,41639710,192516857,774051423,747410011,323761630,748450652,394721393,760897688,468511836,507122275,918754848,703865949,800175763,435172395,341290431,101342456,748245768,357628033,523720346,987544969,492241194,41414152,273741371,483252554,430016103,365671135,301722763,559474692,533429488,875663781,479611562,450974072,759225551,468403998,6521812,372092875,74709664,868526845,810076909,121856922,970252187,282771224,837836228,439056374,3880811,641929188,946505221,507524099,953597122,993130855,783045821,761171969,997613430,867878176,715554635,573007551,314869855,467822883,100323211,775324382,680008566,189121313,278776511,853043797,39462859,136787748,848028963,306033020,483415803,170959775,162738640,956117496,418002450,59954806,608633065,347196192,461226706,344003735,361189796,876234813,206212144,117233385,669359564,372417294,527054354,650990463,723960024,116596886,113452214,286200780,387886767,59880710,485440317,322912340,47325852,247355627,486828455,84361535,559240310,967058751,673618465,679078576,415418839,966536252,53992511,697958506,198880723,899704260,357616346,626958112,990420973,876701418,461981116,571630774,973765404,299842216,104127362,730475716,273642205,817068488,899314826,594981751,485684898,417695333,910543612,747881162,470167621,392260127,747283493,403320921,134481423,969928513,899264987,94038928,417442012,408031966,465112251,160386835,831376807,293276751,988700242,466725027,873489729,579072801,149946516,163724037,456322672,329780659,474589450,574239082,451558337,439666456,449107179,391268438,15378107,59142136,624500440,88912597,57590,2340880,830039812,213489929,883776600,990317341,657585505,130820688,42389883,984618569,739889356,444884441,180741677,272794426,870903008,141024456,403927404,889440593,657504583,315968923,480626847,244230629,723253906,67824344,903492054,412952539,976734405,851039826,294468295,524175470,874228948,570856082,5821163,532220796,334279357,418823228,638453078,818115823,843558384,509738033,276231089,873240306,476754165,717542958,29039022,804651164,189919496,399697451,449195615,707243334,297108551,464799847,584793814,189382022,282144925,375447073,913848802,276292013,365907168,59249348,709490243,319464495,568655550,866950408,394762430,384605490,440322028,310100292,129256031,681280869,374519038,176416773,394252460,104418032,183110314,705457547,46279071,403432343,945172208,153183017,471076577,113468032,998384383,199300068,346138841,501744520,579170544,183170513,741636466,570974030,646846037,965563672,390475218,603332696,959642349,388640972,673501404,252424987,774886317,436508230,547198581,630663558,539390002,276548662,764678873,330297075,810869722,667036876,196016345,673604701,289892817,822443132,462926107,563690342,924927781,858917043,315705387,297277044,140826617,958633323,873065496,479163047,309372141,174329270,179556506,231837172,818251832,489211123,164483826,957362079,209021248,824885370,309830268,930574471,774930879,816051074,619730884,756895414,429154887,168819168,930154263,329288330,451634211,670730925,244266726,39960795,93410513,270744714,116418141,911836100,318968261,773421685,885685703,822754732,942088470,15316835,641847187,947355448,583831963,917387773,199224403,708010195,269890790,257980063,489849725,781834370,959402111,64261592,539156716,329591700,765948862,454387921,49790256,929793378,821378100,275429269,260458794,415215944,518300587,812501519,983886064,415519639,618553012,985300973,433575857,846449539,504279677,71999581,79497984,520384089,810983637,661982946,788828540,922632176,955510998,202530703,842129136,95439172,553355634,678548001,353074885,606288037,154522689,960733149,617499942,220251619,978914035,452971147,609829831,460420845,440256941,153268048,995006238,147067928,296685253,20740237,819522869,896118665,499135106,580422680,124250240,882392918,819093948,639835435,967130626,809686511,278510763,307959549,404042970,926480407,115070218,965952901,167261692,631299240,316834325,754861831,390785645,650450786,817132080,839056643,508793754,630449502,648130500,985481079,510872585,429283011,559644204,59325590,961959683,927882081,167630174,513882143,405903801,179986241,67578135,520523988,854815020,868238308,273380198,456034186,132824281,321421291,926821681,315892962,471235178,130910484,512058539,706739395,303322589,572964301,346429827,31972094,227825472,747130221,944334549,213920275,119195210,401493048,976893884,354325145,528111544,113457236,344380490,586885117,620426662,825752344,621733659,465147091,682127714,996073062,992509729,700111099,329837670,665409931,261877882,103229924,157525505,321142571,1743443,533346538,58554077,841224345,942660261,669434041,154228126,719920908,117811143,160842164,770717782,193741542,298331200,5579052,712675451,498066554,238732947,57659856,793517913,440983281,576751893,88785877,361876236,960919284,990460245,570087442,478313038,690935170,257858751,730031327,789298602,939264204,491415498,732031332,210132738,943206713,815422970,363716170,804017683,276182729,351670559,36852020,137040869,780781135,66942945,623255666,444400708,624336273,645483063,268396691,733790611,332296076,698721063,519437232,5578138,923786280,988683897,528623377,392667737,480580819,561051567,591522730,594350572,683609751,858585056,309802206,972675842,804401192,912702297,92323968,735921798,287314381,413991125,271148010,214065982,295801342,907634509,161677694,469629957,988573788,251733456,515938883,46158897,613013026,19991775,471480999,959516357,12111,225772357,851809410,97348052,372358337,638481331,574812523,528603435,674848173,550366392,549002209,713998133,860248604,53068171,367279525,36243698,370353233,251879896,313053532,116759955,336555716,451806096,92976171,814334672,459194315,418480317,2131079,538208400,148045934,165419803,478321886,157715472,475938005,734396643,383099243,803794476,127039413,244968686,287375482,372431733,350638209,223404498,454382832,225923070,545458048,259007639,581097461,920681557,839089373,637715700,56887642,151919898,160297258,140717005,624736957,107991796,526462803,90298517,503585128,690091124,754231770,523231832,206649172,564941056,506277661,768850522,185978425,291758351,664210693,866287836,577045096,359074327,834468489,654184910,254021444,368287059,536585521,79392151,560980748,591127714,747232714,899506883,295810572,136476996,710190841,759314643,506371530,105674655,89895451,88596497,605963921,141763295,777127387,347771362,604495391,17465870,509723834,5693519,478914628,443486006,184035843,371645964,938734477,892828644,55083847,340526933,260141635,869052712,544560343,794270526,505045524,349638085,742551321,777940600,309261621,143974323,14373902,903453412,277738457,320310127,756238714,92238385,239595309,688389827,910692012,437548203,91223882,602676471,68896122,935451613,605097871,709906823,8321578,974107231,23652705,716558614,410268443,461311885,562384223,800629240,492177551,602798632,187588399,834334345,256200822,917948006,992183959,527989425,886907299,966342503,294987702,240581881,443949525,467191684,608294252,768283158,831068397,685613679,933531715,720271755,553897054,284835506,785178967,289254792,678025564,632334391,611788889,255248179,455737774,619829544,920853809,397226154,935781592,500897629,499761898,184712953,772820539,507777632,272886358,852826592,347229688,527092521,537101187,409475529,77106305,855371923,803888788,841044884,970533417,586044321,60412976,688624205,440254046,36432561,212192315,940279027,980885613,630545483,243159977,203296086,450301836,788716721,202307591,144920305,928926012,174437871,843063202,771880424,659551233,392639384,446261477,20493139,610999415,603521091,957367991,323107397,286689544,106277618,900029434,775305681,201593255,860773326,987600182,925787219,240420351,751609327,184324660,542874372,2107969,916967980,997958522,789983692,393446902,904608295,213211698,173356742,253391332,352280739,426436037,53540533,442547789,525703474,756125819,63194928,698391269,108559310,435652345,355001426,41273816,791101485,838694713,712825376,465718444,360808499,397671621,654762415,788066955,658928058,346736486,2779510,254767325,803382844,831000873,57266968,646661502,592554263,990947115,642653270,861382669,216559223,171671015,385957835,930412047,560391417,615409768,991659808,447841529,896091106,935477310,730129776,798194374,162804566,143395916,64296990,830544464,407197530,231886328,937275299,131934288,484787003,140151847,166614690,848671508,492655558,789288758,627650265,746819352,355256944,930536531,745097520,767435875,364373877,492538616,809805408,45183561,549169700,269466721,986947203,489970123,197356464,499051016,24674670,860055084,457118438,170347301,775013168,14978819,635327186,633191418,514415140,858457149,192913692,221618459,197021616,348116174,712468926,532760326,729504768,470712881,645775366,443508461,37749468,240602966,286736908,313051775,165655704,896265919,541013708,740026149,671740069,92033089,51157398,278508852,911370483,986017875,812473377,533151638,558717881,256547534,889324730,888860110,823691387,209782655,795425077,15201544,234403079,928612033,150462803,949788183,213020807,251043106,812056186,408225739,199228907,814285001,165572729,423825323,795118983,60775129,144536382,496201265,785460398,159429688,253236979,810771709,692859021,620169388,136780808,992975721,357401124,135523945,161523422,943363557,164411852,609858429,322590766,322572606,575557640,758153868,950650399,778946887,519024304,804098556,105308645,66326842,865634145,276478087,332178038,839043654,776815127,531803683,30197552,4733341,206084039,84349421,671419341,627632440,40596399,205402973,64220425,605460451,773111367,665062111,803313606,675761434,462476666,668677128,838817280,310064952,692322475,832823055,524446833,829964803,439665594,253335656,91258666,637443303,838241953,581252926,312230397,342685364,599886241,818299269,958476892,839092154,967377194,54481904,59749337,259102742,202374100,291749931,493971424,421998158,542946128,894317831,627886609,976457997,561978598,126358261,977602371,773512722,113935890,584931163,603598373,874831102,433222750,565724217,805526294,798654991,546067626,50198304,294890454,99739515,23864734,496641198,805630955,634110784,542440456,101633115,215339812,930870018,151579248,756148646,473072316,930999322,660107471,140048095,173013841,976270308,573676436,727042818,502377578,680396608,290918301,715683520,777117845,680044050,382672006,934731983,787692165,514305736,590666812,811938833,673814370,212531288,855947946,400892863,860982269,560539452,610558083,689706994,11065968,34850853,189524688,608466157,705005313,846985145,21085611,167857162,401535941,169656148,932474146,247339048,282978868,888953932,997117021,435573028,722729797,138340050,45101487,305876689,530544258,901030171,155760493,140813652,105610367,441283158,631309110,100762530,83922353,519516970,666137615,663935246,814974216,89493439,880894528,703716872,899271297,166055648,427353845,182967947,933418977,384028543,899907006,929161346,301784906,156398670,922564900,693022448,331928188,538764568,184561541,125676952,371646546,291848249,600512202,626232135,691494899,819640652,76609009,639541196,315638309,242411879,297262863,165369718,946861913,448305936,844971381,863290159,691059603,523892430,879593614,635390790,761196792,189399583,804448137,884004874,781272706,734518978,697195676,287363955,786258053,891378710,104561761,840960650,629962440,915382511,571421284,298263132,132930682,843677520,881117954,736290223,862516117,710804977,392314680,906929975,539068678,174499499,266073516,181317361,365255597,560037828,409207301,477606739,993796749,241611882,856364640,735199239,745448574,184870696,983137623,98172885,361261195,961632263,828261049,866948636,744670093,279800186,546742524,884576854,877934671,441343549,927120446,256470090,51630490,538010666,550799515,534733562,442359443,33046028,706948022,160351982,235110166,507006328,857823330,909637018,688584158,156506694,720108500,2905273,821709794,802591565,412109676,618512619,221268775,861656990,487850392,600476115,394798851,57829760,220126539,841403840,751733045,518761692,255705758,959187512,518555005,500739274,621912591,576481533,882931145,121981446,184691600,314801935,56239966,278843237,686721031,596754421,392276229,659442104,342488874,751629021,912809296,362853029,765139193,29093597,694445085,45292008,741541926,923335886,470128010,920324460,833652387,355929619,513549651,454639317,105897314,307625082,607778694,403398953,278140806,91477460,92940549,385760883,991995248,673195982,302151275,281942777,325512511,175461141,798047189,360012603,418516211,827046756,202043946,884742615,442268665,722841600,806825177,451001580,88852632,997132917,429814447,521546930,107093219,695654874,916167262,943333559,454839021,6389231,533042776,890420340,136518384,223863073,58481928,813749198,572714968,852432903,598435021,800723803,483873769,531096436,926324258,285885525,424399341,99874681,322043683,703254314,800226998,197364278,980638105,308796195,871476504,284680599,162499377,109118677,345823379,184353920,38657888,960419656,734667033,155477357,394077271,236519199,191710181,504133000,604757055,275052993,188303908,79219365,716579612,902195544,127857085,717361919,857431657,793250847,445515618,83823565,170954940,60856912,633483727,829942123,620544538,965720544,459481009,428601061,897424519,382330885,715790086,23145506,547911734,111408861,262036290,663785936,58886610,975642913,853974938,585106612,787812198,224964435,633164705,510665298,542577494,681562487,426310018,230668096,359911234,912593284,371598482,709019792,710630445,695762257,322052536,791747461,904864119,606421313,969191161,504092236,603055605,165504188,936565503,418483584,276025732,409801302,323511606,508012180,384873201,214413291,905446837,499987674,185347954,550556085,953996339,495259823,805265214,787505333,411989403,710915668,683889040,772431338,59121259,107304994,776090448,201635028,783952968,750389114,107498129,101490356,221011666,262831289,564997379,579225251,719146020,242960704,693703497,547512679,431435745,393720258,634429038,221213062,722791940,684503525,309996299,572794510,795689484,39292580,77954271,439495135,287996790,430422067,598188778,483931014,960567333,24807147,560626188,471944087,534052865,350315260,961905863,284431129,390315874,30834808,587307193,158852650,568970797,251657107,298557619,311064204,675732302,904735663,271436425,872951302,136218271,22297482,452724522,91627036,149020233,459412537,131007150,352914759,611713639,681902323,961290185,464160783,838090961,62746879,751129301,865788812,211285349,403723623,598943083,552657833,263730609,556429072,397025352,676852120,517492550,82575906,384977981,696654919,218817398,580505358,812138866,348241788,841773185,99132567,506745272,86957992,425357199,900541830,406492737,459354069,849519310,656058151,900646995,494234216,538486840,997748649,268469623,983002776,350341267,839125001,89411448,729149366,366815759,78552347,62455975,922162137,253841883,615886150,243006011,559644279,442882766,276302744,90880780,257532147,357322419,776104634,978632357,728524339,532817734,807928501,468080200,442262852,362507575,610040090,344684470,278300201,170005533,565100686,706546763,560926000,882779424,817519543,417311799,569154893,343393094,939548781,380310475,878640521,146336975,477938234,605705346,28859660,212352118,855630884,716040422,732579072,998314636,848697746,479344444,838622719,891754795,740572601,348655665,498757165,341505748,224267940,356479947,623798082,865480073,212178921,175503891,789042513,381537538,363067679,716949794,68005454,194862590,461449233,664778179,449453637,56476486,85808649,815776673,247062801,528829087,848436456,67384527,611583161,624724926,277545490,953039539,492506686,494492145,8860328,290502236,435238358,534685687,945850741,371318539,937878947,950272166,10609133,777636288,79729177,122837595,899798452,332423954,126384097,597920660,574506916,335509470,555002315,114318138,983244624,247722753,466409213,223319027,867881428,670256192,85421518,227014684,25685829,377193211,852205601,964004090,113382815,974754018,723017683,60062848,119102364,145331372,59447064,964351485,999277401,52540125,91880450,759767624,220506016,815045299,444998604,710907196,393033423,555093270,152216668,714807924,826179451,319226063,368728976,622377682,556607721,676820315,531176188,720077552,416457459,279803298,84548877,985898378,497163114,431885598,410048981,826661877,671235678,452211005,356557567,398256876,452358517,529454370,376259113,876513783,399406680,947028339,560585614,231675864,787996051,814859008,112770908,978115001,692864949,701312069,337815152,18000932,798558286,392578603,906499101,217852164,909301913,726200507,907707161,868281328,842596474,222409242,343394322,900346546,313594322,386667313,830978190,287409938,3098673,548312055,886586086,710457184,518829989,340902933,99571812,353475286,756230038,143407665,842188681,472722426,735167436,105900646,225473947,184836273,231567463,143549106,528843879,220779456,561082079,14486797,195496757,787955775,349857789,497769649,221109097,153033889,765900640,800795899,720334380,593086441,299123651,264264733,30028798,25932878,56542218,327188354,988533890,268347021,353301456,140687090,70802945,600895709,612660996,934373948,563192265,973135364,903836959,841752471,424411686,514152049,555560763,923200844,717654440,889239643,597268391,941570369,884908498,493516525,651696155,931881847,88825327,924534843,954712480,782383869,776418079,635970376,416424385,456801944,171332983,335852171,1974843,57207539,597540013,987043640,104358915,879646156,936324813,369884474,503370247,492664431,902801686,638582850,964463518,669538521,254102655,61675092,713236791,287406961,437380131,741675477,803834099,594069915,379914801,493642810,948365835,512801290,613024695,637654124,746263584,21636373,750548999,677258087,95160309,47937107,948732884,810907561,652293929,115181490,278104058,622035764,952340815,725223263,158180700,143047073,619492773,892435783,134454712,508681246,297283344,950567342,773216843,62198193,285510042,665302949,187377084,77586670,946276215,489964974,765306453,282153951,81831097,128753776,890498538,239092567,348340235,392159239,190690351,896030777,352961817,705451192,251551241,822998241,218140885,993322242,802944428,409236111,531913867,332217458,654545309,192376351,204238431,247389792,400564233,195573138,506741256,184503187,671541156,259947397,469221529,744537640,864210356,681697799,375079249,890032230,843750071,287024743,621361961,325920039,820435832,658424432,696027407,477242973,527491520,355773000,882092445,190076220,30195682,583167954,424690510,451732221,130512938,449791071,796273129,875934888,198865960,591716659,517918480,294201687,949821777,520926274,47110037,892145568,434634513,95331204,591542299,9528892,322213439,37233537,724517351,577600805,641241332,298249715,920599699,397525373,741315328,438305861,348181438,167847360,821388347,808403715,236902433,301024448,707896863,95685570,859319259,795929248,502091326,31925446,587062673,678744209,431220823,800390380,68782010,171623313,753876846,218540126,9086118,173725297,88735181,531225302,87977229,85125724,242017975,547722436,989145460,176154815,891998570,684628122,402554555,575925888,972333455,889711947,449297481,798409841,749103825,439594240,729056591,489426544,352390670,537625628,715378614,577932414,830642439,304145900,338039319,338771478,254610620,602884903,756176215,358548426,906538330,925944434,371021446,259535810,759191334,669194756,561203862,692018279,654322158,217601691,676892159,157454889,875414255,887135634,520957846,288500295,731568314,802351122,20533988,825447292,670111270,139472969,976846130,307111806,143694009,996397715,681262136,867271616,369536480,509725225,387320638,897135434,882831777,119653512,949658995,586433554,843766815,456848318,250124905,583295748,920479916,371789412,545943408,401317241,408923376,596313025,475237872,71314579,972760027,678038903,974523166,369335229,22622088,982525373,893607550,517561485,359806128,274617587,826160213,368101759,927956351,712200781,512059093,109490437,654420860,404973788,776877332,28508143,957692374,63542965,208534222,196813776,554917760,101631102,278606039,161090202,558420375,744877441,822278838,342179515,289070978,147303154,689214364,717783717,787148685,418946061,948006239,107439739,915478828,665988350,917375491,980085347,710719311,670244414,959034140,651516882,524873546,398721413,232014060,985418833,614939714,686971707,952706599,839597714,231971992,989245900,872303269,682678605,910729604,967110033,447174638,584545084,447057023,803654431,675155385,241590513,939576363,557370860,912305120,335940907,677201468,386526883,599113016,248184520,571993757,613233952,576341049,194098652,92071209,359679997,493274959,361099977,184174270,898090252,291500633,445857769,117237528,509040878,900783542,25535441,347317710,471658678,540347377,858579886,797711223,16426315,455132645,200288070,423889031,71045107,49766711,762632846,285773505,369459003,693911129,311764732,123372707,295844016,530721977,738050559,79855917,435544503,602936002,778556811,994327894,892404743,648336543,999443140,123377249,931418432,804920793,844051013,849639015,493614654,182005993,32013189,530737123,627060430,286754841,936157868,588560152,221591223,917172707,613742466,417256379,742830135,420055838,685672141,231519692,584682837,27050586,260642711,986202629,267228142,465239277,615239487,488194545,926520755,28524111,869962700,666981317,373440980,429591093,228822577,761097195,199223478,842176488,279773666,588854934,741614636,753200198,254639383,974911470,411043464,3989295,171369686,458735648,773608976,175763474,92988845,688866385,283213556,157243148,48727232,844406224,857675016,219866766,66783607,276573639,275552115,948573835,797588179,434412287,385559080,784254528,460491681,649498200,20790755,773830274,877796450,766622290,593626130,912140605,231801639,986829704,550132518,38824634,512449243,75845938,787473021,91483460,143376550,224931378,423280636,64474622,222918233,467536615,868315479,975006321,207048759,403218441,803968307,132106951,102750885,763629600,777055455,99597750,704398913,389687242,198780432,562146070,763913022,119583361,790735437,588679701,733666446,700369089,393513705,629375352,960764372,402346215,963992942,707953246,350438637,340276563,640779810,887784297,367312321,787857573,547244472,818786835,693617295,881894928,220067242,861029356,37251622,326849886,702522883,184533999,191080389,178189482,92785744,923091969,316136000,801913292,972131797,978697135,614945217,409368891,908282032,42602728,284024984,847132034,976363091,594320831,677263278,966621809,726841903,367325902,442536052,758417275,706326928,589160355,421479060,30113673,647417181,923031611,720301477,92646699,849283914,938903264,984680650,134452439,735638748,142341777,430634029,745601656,5770607,128395023,417738645,812401695,511802566,459298765,424001100,581529534,678217823,198681441,592534220,981914093,405069272,145506677,3632092,985965279,271872576,689035001,26711338,459796105,834249537,690475701,247329244,335270412,751586225,706056882,943796646,847265442,161386259,509461595,681721668,946924169,576821184,929667269,88990986,927747019,614490507,106856748,740918225,861018704,271139599,437209127,82555355,570963597,993928641,530906595,397749751,792848367,766568589,450629727,224767004,76083764,227429419,511768720,126920059,208724388,60174118,55371973,114436328,553400181,957066613,160861498,627381248,458689657,296831691,158622247,993476588,924395567,389101850,811714307,307972195,329010962,928842462,976929314,84340481,140126627,13244278,908147370,282001816,228606203,175010083,249010413,392603460,500346211,334943800,743742189,515419973,376739163,330777288,511316408,449759706,736020166,364379672,63190296,981967388,587330850,589165762,76614795,298341043,746495085,744579079,677565551,37186257,588996503,805938133,406097182,88340783,383747110,471339172,472073334,870671253,417151971,965653399,142538103,321045537,84179974,111235617,559536202,541771568,825908451,18634353,298382969,586842017,561030401,435683332,529124432,424372972,683325454,62747717,368411521,847908872,734677066,138625601,968111824,362604888,330156339,377021987,114831902,435293889,960313635,370879461,214691350,773599890,850434833,104105978,341710088,768074339,294885324,865172903,862208833,581243647,960447478,738865305,908357803,318367244,660279634,2993817,484258211,503943585,975184869,728853213,921202606,896064616,703932666,788173429,456077595,499694074,699301854,722427053,149269748,683315945,563775364,52061621,50953404,802104722,727425560,56878662,346385367,708346539,816856421,999259886,830184067,819841159,695577498,392227217,185624042,176920305,28405167,173066508,442482096,104810077,110892211,354910883,103948045,110481945,713721430,686914903,714892646,495112408,56579543,714674240,579662160,640615529,441490254,732420994,364893145,821301831,353570820,253567246,942568204,499065116,386937101,955608816,748327452,839543635,290590228,747469238,675252591,680934682,24601096,986454927,265085084,879065144,76186231,309187308,495285503,200495578,155015484,135465105,128262928,335079402,87479359,118565457,890119315,55510978,211128513,41615251,648025428,19633676,983429138,257954699,818660108,468555063,684911651,645868377,844930085,425903804,119663636,419808931,495072422,863563609,248439566,923980141,65153816,68309945,658123263,554701962,460990616,241777215,88191341,766974437,704880522,197577893,10291639,695761939,847943642,842573361,525906757,442633984,185359857,264754118,489248420,268367859,700400622,617109535,171439003,532485397,408781778,189954090,483292688,561606367,896439414,645275306,204247367,584736526,394925280,736406924,851092538,845453271,740663636,578545993,182035762,974533153,213812248,294663037,83485536,948897848,39607378,890689909,830270433,795691355,83103023,609131839,103124315,180923626,641505107,400009525,489808373,251154317,833322874,111577321,580796587,771889288,684477107,252556254,704655042,544990410,852776408,459111616,274543270,99149936,998020472,646957493,388954144,700918862,515965322,57765445,985412021,17852875,485819126,500038181,690122270,183315034,15638536,757160869,600578379,740603447,930148206,245243807,780464089,379204189,373490993,610478664,122985287,959493758,27116996,751203948,732345762,480723478,422239648,310270377,948200469,102698335,588865977,107658807,325101836,763648876,679976475,643664496,622974389,861448889,973546317,691315135,884059821,131859027,668774289,172535088,202508296,321053099,166919027,171552941,150221486,826147217,890779117,693036460,103452310,103080717,786869236,774378715,924117051,431160,236829489,537193790,836657883,471832082,244981839,922866236,359515422,178379727,453666351,388210150,251733914,739477389,480701591,690611422,845749432,974237208,830649539,892826033,318719211,255794087,8542743,304614138,726518994,373788931,974824405,743835976,680280834,154046180,138266699,2765959,395571037,239833282,108312102,93448015,961245990,688306215,871434609,318548234,460304278,168799542,713206254,990549476,370373683,198335810,181111418,229746112,770994459,283851034,923677787,662870722,688068159,350424386,483834274,343976709,417280890,980803329,559085965,893287737,870250221,870391406,927987867,611340522,997605464,315567728,695101057,159357043,791049654,276628156,712739920,407774645,524486978,469796296,541830952,294488421,431846353,691649513,843040161,700978250,432213907,124091995,363754447,833271800,979460710,43312655,360034718,443626213,576738632,181105035,188668998,335419443,301035680,266354637,281649518,884141275,163397097,467237254,916886000,534173730,238946663,568308448,639110220,621127034,313199134,759242429,850235777,421964863,951921684,887699516,358173638,53026916,813430739,665366197,781590862,724768560,870080364,592362969,518929296,257704366,895545943,245317372,25917255,634365770,128739159,491453742,769440334,641188742,473521782,845336148,728636767,431279475,246753639,797687979,127652757,566224930,519573444,646300306,374690240,545902332,792688589,322914405,759415631,311057936,763854175,164011704,778552779,105359898,977059881,807804455,436064259,163963140,216171844,892779331,539869707,777510542,725215569,312581809,528525533,446104950,235190480,776285262,996274378,906075685,986986711,571411616,623502187,283646376,996236571,834206081,413465777,241956671,670839837,304725782,592519188,55315318,24530518,926930864,7817094,284053758,865309298,877687861,417767746,981930508,204271123,804750146,481199057,775516580,948047092,952497411,463351483,38498878,903688633,116378456,799491525,330082150,716563263,311406019,868889238,3814948,144103887,977154497,71859078,962328933,442543027,656967095,115139059,400197973,97861210,869684411,532229739,837291831,537772329,445847543,64725927,893703203,942515151,438958014,992117674,667215270,114410249,895581920,608084901,865493082,387249720,788522708,462149785,609615992,334580020,492319262,287657206,578619285,381041586,409270561,775107983,246359774,137425118,987338996,865768196,940230590,684433830,344834828,689095835,319150084,246431488,38273747,696390047,453718561,59773631,670743134,225257774,455122638,437853356,387947963,8017627,844160252,484013424,807289888,215654807,331626673,81520405,919840531,564787131,627597459,925943440,84989038,73405511,657027342,690496305,956537332,548681002,57563937,684642341,268638738,78175307,427854870,837830957,887530319,10681834,368859999,173033785,478681249,620866211,605657654,576092168,884281300,50931232,93496263,534703950,796995342,329394314,162168479,533515516,461761060,821440211,786750125,47699711,740033985,266906687,264892306,935244076,398908407,277363227,673778389,919133696,317649311,905245075,88137821,457967537,666232772,329478978,160989661,127137708,3451334,934956479,1590074,531898485,986550273,704542401,611580482,152832392,106119052,367600326,617872796,956568320,503750870,783056630,633626459,280591451,506169979,645362998,75076032,602949416,26578011,45873942,15784880,489516989,990472392,826100325,241492975,699128284,82705347,220086251,43471696,567070432,42814933,492460693,725200706,825416646,888472237,539118715,315970344,825268857,762712770,975642946,367419772,270700330,246174809,5571193,457276187,173712989,624695810,572948814,859982821,251291314,597394351,264014738,679132832,165787755,859177005,326689375,10542783,974535283,888557381,957367625,671459857,792726345,409985431,31535924,4353523,487995171,407528357,738561336,844473757,293959920,596362642,564206453,994931890,448662958,495160983,747174370,335724957,393881317,591647815,399382707,330189207,256686347,239380416,13970503,83086391,770517577,735157685,28602417,820242159,964991393,394542477,62404280,736263531,124502058,654433456,827511368,340549921,591000029,996249458,647651148,361597668,645220133,873372929,165207457,60014328,308788027,80119268,343630727,451879617,949704403,343818468,557780468,105147136,629419695,241380493,417187963,679236208,381717709,357960194,189811448,966606384,47091449,453465896,278075572,712874926,946381891,804470503,418528314,406702360,710928730,327556200,731313558,996011998,805833426,394134232,330103921,956532385,272248857,302620491,543166879,726903398,472655624,285125000,738113274,272060784,784299198,888077186,495399490,710657203,228851086,660355682,937717705,928431946,722377014,9408660,129158217,299965190,627720096,908664091,746337305,639884827,212645327,560098950,895984255,381617133,593890621,686172115,77064307,741991395,327351945,488157588,165494398,273895902,618771917,362369752,536502578,451194580,264082498,860328751,896556487,729604272,690703756,957623012,939957364,209925585,936465014,322622472,419477545,173083264,999727234,872261183,138737982,40459851,888084253,404932251,500902887,583717975,701620137,529669042,722646297,419175991,525016685,298114673,78585840,311215578,252718349,362503213,901385805,92871938,81617874,810437219,361012710,184064772,142508982,937435203,396742132,692448455,112845425,470048273,678578137,176852820,856568468,739854978,985879123,930516678,349569253,992991393,407318683,857011551,275682730,580294377,265599994,136097010,732709729,447961274,554984269,204300311,827813633,157201662,687803737,185862104,612030138,945332087,971160130,66347099,46177788,210261251,821159117,507735523,200087181,228950604,286589671,428017589,902297697,77552342,950835447,766032703,369925651,835272069,66779310,345013199,922675246,274881724,623185826,441200027,186943173,300136411,660989502,551181188,554477684,659419644,383891171,401453909,127959006,657360438,901066413,806286109,890578811,149882952,539207385,908269480,963705621,437102244,128811072,620752763,249012911,23043335,277087199,307904911,639723461,566740738,828524330,828372065,113222217,813892922,350456740,619530546,171859377,42411313,375205672,4110306,617678890,875829920,196719446,84971941,960129029,354330557,238901325,944168954,239246187,853515971,307462677,803582328,375385313,411495089,340149193,363489558,574656572,417422585,17688397,169311267,572012175,815803568,166640811,406268282,316509117,743939456,926261890,354292053,972550670,75688254,235654347,131076596,1722057,923808899,58324126,810239443,448219447,487470492,134225100,32328803,980763108,16747641,542710575,741646145,345807176,861869411,668650866,862649021,321296771,741645345,346436867,33749007,781473203,158576983,271579904,807461796,310357159,766465443,84867087,186246773,808268159,954066206,576566800,960766384,171476242,4160503,605583973,885830574,379165410,322121190,411765585,476131255,87471509,670550077,801423630,819885013,578286536,254690419,140702226,47258773,272369144,348573101,509072355,901219116,42470959,609775270,592576420,437239044,787005799,703075064,960426684,130226823,525126157,352416950,867374293,293230178,970163957,407354881,695284689,92520986,952477771,940273135,786111107,841162800,115852810,334649406,975679710,468090655,928036684,275692423,693899778,140369408,381244432,920501795,831270957,914891729,290651276,996230516,581646389,409263522,818892081,605315078,436330910,889114906,514849994,855419611,686219237,838020354,213922789,929679750,334236539,422848030,57405189,11958360,105627569,703804363,432210059,731677422,950454270,381019873,400450902,319777813,331368306,664494948,740315392,788958345,94547932,642884032,703834332,927304115,499244924,230283614,193686362,638523287,949452556,547220373,226200699,586665866,105781000,523676359,149220524,160026727,123512306,241740661,386256774,791476741,621639705,488993409,690106586,769290035,513659464,454416088,12619573,589305523,643659412,668923826,576295091,572803708,465582616,495743339,800825067,566762319,351726582,597370357,941433733,417007761,145811350,209394050,167898421,666776325,593596124,930562783,5040044,20269235,946204694,628661571,741760822,902902850,577004917,699313457,21238997,731555480,914189067,612964513,446423306,396049515,579250130,185607255,376344721,425601162,524719191,536048067,258640710,844356045,527540008,651801826,305867907,400024693,61218613,195229055,366760632,966523561,324066263,837176368,620267096,761817928,530653973,350403912,622087723,312865768,501384753,501217595,907392238,460602908,459438703,831976081,803546026,517854844,891388162,781830479,861171380,276096502,452131292,160737786,784492883,663854888,574376064,999995278,670535550,497592542,59022778,619461689,877509905,378287681,219757365,781684031,742755443,598201212,146675201,626408245,383725859,286042777,73412725,728858824,775968078,941833314,108406233,550553033,700457984,448763253,654806878,665419639,959871461,609501189,554058004,791505976,338394240,49415942,344902729,180860979,145517285,215093429,841554,422017541,894654790,320037778,489378636,588343062,592238318,70077287,40062575,210648465,887734776,519738204,205129138,520077520,516222786,572321541,514392433,365546224,375584600,1416723,201194330,347571084,772108691,673980382,40785111,668389268,568594289,555399638,309041455,874006237,590215893,184657229,132194749,255056308,388955112,71041211,528236276,612194315,890894706,876461388,740683970,72388444,779620939,854055114,354259369,435455670,863145461,992866183,314151502,868235323,559355984,958579771,328860150,906747815,736087233,916408762,614295204,835902022,145385787,806444084,130811967,876484074,14700914,881979990,682509003,988407047,536843463,122397371,898638446,365718299,731222328,249203083,342369123,747815162,627298437,788513784,770873655,690130084,113530671,997047436,265962980,737278137,537553397,859734120,238733023,644188666,139370354,499936826,858975930,346785446,67324201,751968684,661005387,388313764,707989807,774822704,215245238,205721723,193234735,969414176,152604116,345304285,701824669,242856443,515843026,15347417,153204622,392345798,165078993,806536832,94750412,774316875,75740532,315262191,701952801,229036352,617633616,911112982,744814292,280124205,960876277,623068266,733831048,23192797,700415710,579493479,369081556,162736612,105107262,207433121,606138765,753213545,121846793,932038297,150414129,349749851,651217281,936465381,28161316,840909642,174041171,335822833,664767186,118885132,377643944,616658794,706884143,590657598,27201744,643745056,51684075,316779565,297886445,560408816,35752087,907960562,523770419,984830858,707649602,818245715,575595603,457070890,47519946,778189285,116544979,310867876,649456528,184872825,860937140,106661867,709258301,971484025,996602858,258195807,78808769,785879478,226646500,173243874,266143811,203298819,950881971,735193349,267379043,390199692,250835803,6313583,833222964,22653782,796486382,445704720,26179210,944460049,607076257,180458111,256314495,438961229,82982062,147212015,20292666,630976936,659189946,891373880,860672940,937367362,833312333,192821121,266879405,141832388,402983357,405049497,729577383,154182185,128360984,891092465,21494095,8819285,111923315,906217553,609893685,998602779,457805575,141447149,847562769,477909830,873294053,373779555,391571767,950472913,932461589,23722903,708525876,732990610,362289751,327010812,905881484,228816135,67484265,640066887,655007688,564053763,712646890,880160418,197586097,394213322,849046908,548031787,810386089,407298339,429961173,479285997,953018966,837922030,966647657,121413212,961868952,800048134,45102811,87599343,70205632,234826179,350065848,358257915,488407299,473126916,935797154,49043966,327096364,732953438,476832342,77183298,291900112,281571929,932925152,905313653,825791590,718278588,92896415,129411629,717291605,874375885,638539430,982531893,812396331,230520934,23357769,367074177,161026612,248032617,150611699,916539150,757113466,309103997,79099618,541653722,881982362,577647010,468578773,95298530,79613451,835234786,376219779,422146485,560276314,104356205,1342389,15353834,980645456,777941654,180650754,922145045,924728508,302265733,217954886,410221054,816724727,872067914,113828339,663323008,795907452,991191713,760150362,752915519,850422105,610766297,825123341,108860098,370112183,132004583,896553704,576054134,13541692,708339878,545418615,721872296,256665109,1607348,409366172,730443497,458665520,349721291,356904805,250223431,49819993,130740352,461517173,477592459,603296291,291745893,263899305,685200666,418899353,642112488,100255463,25701237,674111261,12025155,702821920,380627308,997250220,899956851,774423224,858229392,922064343,862487497,746274828,632114242,261835932,884207416,288727330,556576561,205784699,103017253,358432135,574742070,608681256,682380082,379896762,290683954,823587634,639179822,618252869,375290467,673945207,183919405,721871079,887844371,98292588,492194901,781351951,823252188,627284067,119252763,967844988,829609134,195344150,641668484,39457297,668196730,561250404,293411311,910790202,83270589,755182386,248586398,758418022,900406478,67489470,675425665,778050545,28450192,377755269,864075268,572700161,159671682,189516084,769692085,982684692,232171500,955846837,936498911,60604561,24817107,290863396,320998329,975949546,568038318,981190313,839934801,731076705,308765076,49096444,819186033,121848308,70048167,433291522,267715821,205039677,592805204,319299929,885698777,511372058,929917426,125995414,149593146,378173517,302916978,392260726,751594922,402696501,895475947,442135723,328589509,513754209,286390704,709180855,492694123,166449611,464697345,526361930,488788749,928531443,158484487,837956847,428447401,864250592,398249607,869305947,701822825,743938133,262454938,639477906,823531685,624565409,547453600,716607163,806726068,481458249,239251348,870986740,805274234,294326136,127686964,597119402,549132515,605297229,770281527,148357605,205384978,651242353,965017706,402552297,486551664,112902824,994657928,833204318,100259244,953265919,917913257,169572574,130576841,377044599,492524142,697767640,913104551,10323877,854551002,184070460,141705341,37213362,971900688,638515304,642255796,534598067,280654043,886918634,198479778,801969393,738096985,725846998,789502966,353429063,81959903,503451428,502892741,639583507,266210379,257818524,961709196,756459501,174365787,959290232,625277241,187319629,622669583,778823768,219913430,766405926,481760814,579456342,458888610,585156669,410860238,306914197,753019689,794847260,820699408,698750276,119911626,96469984,400732723,972435836,520100117,993044448,514252505,28815651,534081884,250501681,568185731,899370670,418614384,218916756,355712045,800709750,268575475,301944096,561825157,184448060,634721854,533861926,378212406,772078093,269433184,126996252,698777501,721810714,28087101,687535443,618074056,664651926,990624850,65429409,206178162,379516774,737428978,993696277,907080269,890636506,365954149,372075589,895539291,200688630,155093737,217407844,313369250,281664062,487411721,782448068,606642099,408623587,932294305,431402982,330435073,81843943,979806998,199052785,248061742,694000650,206143634,497270481,460595782,592159296,721565842,949741474,159068462,317224176,754896533,315677303,523947264,390911335,498970408,926554262,206207584,29159701,345630764,900017854,862775304,285288725,286757121,921923860,237932922,550426579,912594793,939091280,682666570,432894167,108345360,346974721,626010936,727440122,893700162,24427209,780211311,215237705,926933860,514718056,558913948,546502064,680001471,331080809,829837662,940260271,920065237,329586397,240802001,66061750,644707066,454416644,639583822,189923386,861059742,918108818,952514870,313067234,762961370,617122400,716367107,416111129,793769920,994579454,174294660,248181693,865607163,999612287,886616722,812267661,896452488,268929903,935083768,625326191,321815584,758910465,94325909,424456375,366318098,576671933,752702039,607984122,954793058,528538097,631521441,785409695,711247709,129886807,723174714,579019024,427531135,792577934,781814716,301976476,276836254,423758968,138461301,217095310,559241948,251074859,121758120,672695387,62634887,678739134,60803625,264413498,872794947,542608089,155102053,891599423,593557492,156314271,391257589,438763959,397186178,334079305,801519993,572384721,345572421,422482995,437290636,756070197,758153784,299011331,228449661,905562385,434695259,442618304,903574091,816464082,399504768,43393125,567699662,131345620,764297345,726119381,488990960,386878970,439910989,375851945,890203966,645881115,735114187,413663934,25616477,587727201,130229047,567982580,970916394,426600189,709198830,503618645,314738216,875784367,820105548,786487762,747375788,100935413,380531094,870586371,184424237,180925452,249080301,300873502,707095615,991649326,604409542,746179093,448056978,222712467,10652066,295170028,379912045,356226814,756706027,756702184,602355017,507271882,59477287,567562787,506417145,746326779,491088687,900164466,690226362,174394369,201451106,905837076,57510648,520338877,531968668,897624432,292988956,106847123,728612905,782846108,723426789,178445313,228282496,531425874,922829591,618799612,773976976,651204481,950326242,203982938,143930337,105098311,502859877,332207266,579771900,940568866,71774420,349028765,733676706,986929313,226123177,620869389,319563133,446485371,539266235,722918988,814852538,539538060,39938660,438355010,951593634,663448841,593198973,79814677,660590436,677357699,440613670,593202513,503089629,760195487,250838500,919950306,646537243,927152562,592441407,538104302,536409150,63571155,195702296,918404527,162808808,693940238,560230958,737510986,992392320,844265228,695521770,300308712,786523306,487218310,192343466,661469699,108679465,430226867,941561661,461895340,112417918,736377990,696227950,240271069,206256338,935980941,859978405,353098420,111547317,152239363,296988839,477144360,128393417,77685469,763115205,546450049,859618098,567035474,829775445,372053443,677584951,854608609,586334765,303868057,945647995,450081540,245322512,50888693,646961712,809340243,163667088,967984985,37105772,230666976,471431092,865794920,557360524,196712220,339655058,984593717,71799367,836631493,767861911,195845936,847825229,513338989,802246030,100630025,146623935,496400989,932211814,234071598,224569877,212150251,989658302,773018140,976829309,210704071,976454018,227206920,82585603,20943243,941517943,980858113,716249194,468918057,297765611,189316142,704333714,98158910,660412419,774432518,256872964,178332466,149690971,905953659,191707343,673508706,328690641,152589756,642170662,375870459,82332887,99686233,361876656,531997253,587656815,636795244,376732436,281463785,333131270,647351778,413343918,530826653,121568113,646639273,918388676,180500470,141528682,795381584,243632557,949920568,770960434,23477918,367109645,280753972,931871308,777106938,807302416,119782236,838050188,517701944,521018678,279999069,95294174,913737779,636716456,213917257,313642548,724258807,447114817,435888466,688936509,47173272,757534023,459798670,218477703,224684154,883265694,862519344,103648905,389801582,376781257,649196382,193076183,176342182,370017815,415275631,159459129,577741346,183493187,934288505,247335347,680384923,640793051,446100812,472090670,104942002,443836486,490041392,177861385,182011718,801415588,809341777,72587813,979246912,373413730,543484643,164487103,622207939,593024874,889723386,281975696,224739623,847452859,27688987,249712284,49278176,778315245,61413908,393049784,885481747,700978812,723208366,480023487,158133910,744919697,806460295,823887288,210260880,457677739,661354635,237870652,806351141,832699714,595028474,205208168,971927854,620022468,261394736,608445279,70608879,316478064,600923836,184037461,511106281,211892154,577399998,591623370,330101496,12593437,354113973,838697794,583284694,481393874,687939971,407908306,836809663,455605995,788731391,825055676,787999762,919830905,695143520,985655555,914583133,822069478,827882170,259953787,36258899,44924245,482745229,160721907,441951657,13756175,788419518,239467471,374394446,567140355,179443822,367630466,626006099,32115082,770233251,492727231,478887944,49498660,732566538,359927810,694733241,61383462,691640937,793612756,136625897,217858549,226697256,224263712,425925466,968665597,674867775,823074177,57135845,585582062,715076040,16222845,866849959,420382573,576433211,881826771,682534407,630957686,559897318,915979386,542457716,183018756,533483784,303313739,836061103,52095550,703490829,804568453,727605640,17741610,750354895,658319560,602467989,152247655,640059348,147546790,802741668,491599574,359205192,128978041,335392585,920059071,724881286,164761861,74506138,251655400,376606047,187632675,954085460,491543906,314263706,541062769,386121910,460000369,239530270,667753828,766688938,293938179,184910094,670113885,893199925,771504370,948104827,701269977,641880425,220216127,731833509,586288679,196876265,842847229,258464438,770351034,651737610,601857225,845208530,595359819,882383666,56413156,804256367,506536033,677124433,252185609,964068805,537509060,671176618,165315873,41014665,472336214,898902122,683936452,198500860,170436612,706490309,38423920,112712878,495319565,892397346,423861052,906994181,144585515,277837207,176663919,182309856,272310725,147517632,92438574,215878046,639965865,740778766,600302269,172452913,88162526,868882029,863756969,920355219,319549022,290145457,968719172,223606840,992979019,286752499,444628732,234516285,456064198,222598220,62019544,246705815,477455618,311305598,972631214,58570703,699338302,856781226,515276101,717064938,281106287,963140726,742666030,542940631,617610884,718051984,9458187,281266719,974025170,71010849,945000308,957312201,12661887,952210413,37586241,244367147,693355069,768621069,570128064,286258546,14209477,656843801,428674664,208228544,245281137,773344534,162726310,829385596,79419488,29622322,26364387,236412837,564124049,578043092,181981427,378318581,951698671,646657929,654453223,97630280,337799602,466920219,654768773,40999192,104101280,596167394,541048870,961765887,95775979,611844052,679343016,49706730,214281688,336615021,429098028,187109385,522822226,999131590,348409261,928001355,800795138,115249263,817916391,598378394,901810915,15426892,929183101,836639467,449226988,803376748,516864930,595759449,876179767,302810570,911105003,754877076,627357498,277243518,852714689,845500606,747059088,826752809,494131778,90643925,218330975,473714548,278485257,325158152,313443972,864013402,620460524,171319262,826599922,302716081,507641478,644252176,279360256,811783829,418522458,563650588,818568140,828179919,397989588,398312466,679213376,901671329,723516429,901751708,724950819,972463050,129760569,548945517,256587032,683859186,527168802,870762572,471671274,228150215,976998768,397350704,277022553,352371755,634518561,944496870,970417615,565093552,323075343,695646928,923049675,127509861,426939471,80647168,278587870,986101073,541892219,153184724,281448877,915817759,675929611,660563444,803466012,619169162,376148284,598717220,471163578,660758257,338496830,840989232,187014176,197286497,551485906,501175098,54454374,30365751,271075152,424823263,593152331,969861594,527487488,559978081,535208831,439400614,427620258,884716390,805154667,442355131,292627100,556411349,179758470,129390911,764136577,671854115,205764046,202448424,238833900,773462265,253384939,812617559,354045667,688097513,429441745,732315839,516989520,703830955,919763229,75294885,617500955,172388021,743020974,470001001,613497749,646195932,367451432,882315779,43497988,487948579,557252860,232058132,524476577,839345455,993776674,420250222,1913133,454045963,914470548,774070945,342734955,173226677,620101764,304759028,984123820,81225448,307537157,424216080,122575324,500081254,695099937,811189310,482832521,752463613,857278114,809118614,823548858,195669101,261692553,42773179,586548671,240450526,559459840,798835970,868765894,999872234,342758104,17764630,472872145,196338709,934444670,888178235,84660711,839878120,578087845,698797046,575891142,316849797,424624362,780510560,644352590,626612877,110517612,237891092,569186058,386881298,923874884,173795807,806669314,341186257,228287547,246554493,545970967,410859780,998136726,993522176,902292008,863049491,223587499,19496433,773060595,405926224,924269855,231393751,328588237,765748592,682696120,757190467,18792577,386803083,497830525,395988661,408935545,69474536,380255480,766835024,22681387,762002283,877392476,532258465,790444418,472439415,85883557,44878408,975894962,748379242,484876275,445800852,636377636,990959012,937235068,330612604,12467297,282339212,184661749,193339062,451228795,538940041,707576411,867118255,414696298,703008715,563315975,308224864,391356790,923133549,657896048,433280274,654098768,218504177,277676776,248400497,279072849,168938385,914725779,199607979,951772405,38589679,156599831,478975954,53681060,461656714,223350405,469194693,935552940,496383908,448465991,185253607,719878247,820689070,681472723,47407593,488612871,537766625,540819211,728713922,252352715,746308276,132742427,637614102,818555327,113697671,637530328,418332040,446157688,387243488,334661624,409410725,56015245,882722365,367295491,901027463,794551603,420177205,633556901,214533284,206157335,464651555,808338321,990973969,368172382,888326931,276141218,951786507,351330032,254253330,162972076,433198264,957833273,552434934,937716921,299277434,334046503,947587349,997835410,147226679,612135318,650868657,48608212,638841584,116562312,67051100,257074132,552480989,493649344,128397634,971327381,740553511,421439501,284611909,753006851,908168862,56138391,662379622,37639964,231723248,180986054,114003435,817174841,709687984,786055222,636694325,900653619,98235204,4711197,516854899,528389917,587599108,538460343,2764429,134983680,221978572,242313151,199344927,935549253,380020379,606425865,951847987,809348110,880041450,203170148,971360092,738718955,619946809,843667553,770468189,468756390,339835011,18736880,556973580,800215569,463187887,342354259,313727781,278073554,704692555,724449516,911499786,157842319,119603932,415291609,430810296,132546435,181079145,211586023,626196615,767649903,395487822,70511601,696503364,238839678,283255737,307431735,130129005,139211810,785569410,255589422,187332572,157519975,281610763,775352768,373144456,972532112,419823028,285053345,464928355,363682110,469854815,90401612,413984341,784175133,553769787,900472192,358398467,439896514,649956686,927503116,477154221,301288347,668649156,330976866,261704175,538154137,392100474,359441208,183656866,741697161,544007107,610320916,908430466,506991457,683407968,374300015,548729042,49450102,627618692,780220556,822591767,583816920,654521963,694013265,401987244,244292376,326082751,251283375,93248080,992759449,56937713,24465600,108247816,961829522,789457735,352685433,337913227,67902597,750133939,486610936,338123792,179907632,535494034,226127448,875119800,590247702,580361870,143520698,810481745,686505013,762344956,352984990,92135135,322748082,283763199,467105271,117105077,155498379,238507790,326895033,669816161,552889777,396771481,992458264,785996055,809239797,817017877,57094253,965558634,207470353,855196839,186851546,127469170,620433282,243352928,410521534,190212699,830120638,571548048,357836282,660186128,378058742,350246209,575398937,46431318,47752769,602409341,321279087,401376194,854196437,659422639,473520463,862296335,721525654,858965248,226733709,85194717,102555190,260250087,289514521,235179832,698968630,647471236,202503307,580385309,649909599,742070822,484246120,365075406,784896651,144737114,313886682,733049240,933702850,310640161,122097778,675681822,519495675,910382534,247269379,658103888,798878957,775107953,671672820,672451421,349972413,124806330,528396773,372005098,612279007,787864930,664002059,562251608,60958261,560928871,660934128,53976395,21576670,820913125,172248379,658537841,278384946,27117462,761099682,226440057,365933137,728517659,165109077,418207544,460599736,49712905,637453334,944289156,160156879,727501276,102937410,843375939,547936181,672807900,186620365,316375162,39238831,251245059,96480966,631355815,901320348,979823934,630892660,323439069,910291436,201145450,251559498,520531822,719773012,639607695,740067248,771437766,988203645,605267457,626403557,219166347,501467351,625905676,812950168,464569225,665449793,715839673,101220427,324586669,821202461,586933322,865305405,308800566,164707277,173763732,125958629,842726979,173504002,468054664,972425841,811900999,580363392,147617601,835509798,586268817,255766342,710683549,81054839,853371585,779155196,211419676,215702924,841940332,523658258,106011703,808359275,368833996,611079143,644325712,148509006,276750666,974094231,910761251,166254048,189980545,747661621,649393683,140168362,112606454,417041566,532425453,702189896,818229909,36582856,376097954,736240669,959936089,35098257,353251615,729146668,52502076,496370666,156534192,948596251,593148087,130375235,771601255,27723479,814112238,197353412,838159472,491869831,553427608,738204568,367305902,253851119,641950056,606707191,101126064,942332598,914747161,976250764,747862552,802137931,593659481,455638638,711652350,159254369,820734447,609361237,317743622,690056596,120541526,318554890,866047389,990423498,26552026,459608194,509169633,150646280,800851394,221294909,940195473,199772394,708237922,580215162,201358189,972625651,562590992,898786720,848625244,130211626,998588457,276062186,770813342,629020424,296020606,765637682,494837709,549351307,51202478,746257728,132826123,745360694,164045193,753502947,951762166,763745617,147003822,566873293,689310305,608389808,891266120,61881636,794146598,703680901,345562574,94844606,527617208,378625152,837775172,459255739,952773263,3910784,620019536,728902861,29737133,69000193,471047579,683560250,883734875,735542594,433980112,862184157,806494463,643927846,1260790,957737070,438925264,152068574,440734046,366965622,326004607,792741555,480258936,187758095,78102796,607499604,942737999,150345910,489338894,31431213,96526654,913927086,660213893,567300418,128020074,487168112,155038325,263963376,677042663,26344860,235159292,587885849,366422141,544144665,198998295,687944977,272309646,1558838,140370765,292674599,886424664,440903662,434935529,171364745,475351052,950326251,846483214,631050117,186579712,873312028,463333178,339375413,565769586,117268184,352587014,256978061,192857391,872802971,457990054,44488193,573256176,83728087,103056749,785579001,315428427,868168979,153181406,698657314,448655731,867942952,10348205,374511484,124739575,752195756,144637140,281096310,548446730,841716408,230920634,134975068,673712028,87905828,588381542,691269327,185416091,398606705,154204,781000575,607260521,490345209,591993472,96296926,256705569,622251118,990525939,345635967,870712667,342817748,966923265,779675456,63012805,941504268,154067712,30259265,518675449,970905121,933425347,539160890,654218086,777678030,27135596,536515440,641940479,505428068,137495111,184096727,921463563,77530425,87171947,610944741,401130695,829957065,712011461,254156195,592106433,3178536,909861919,683676992,671911192,836376054,291600465,564561664,86267478,595213415,739154762,828644225,947838610,389031844,697740158,923753059,110317989,981756799,425617564,395377178,583408252,947426712,425724830,168728654,953580474,422961103,755438460,591307945,332981709,91903585,605172595,300895246,939613098,903238262,639761308,788521612,619795476,834117676,268016778,63083761,317729661,537958082,917249569,426133166,258333276,665295092,492789168,481059807,865583773,136579696,576010529,95311269,662109983,30159655,415833906,527410808,127784161,907309728,20492066,370484898,904276,430833131,58156061,440884857,13512197,596764219,216277803,915251680,70112810,287633300,989541579,861315207,874906441,151973011,479738366,593707531,591293349,181434296,495686347,590457701,130226981,511155165,105362323,115619176,448545746,610364315,80535625,605479066,856468648,555572550,484893856,125171029,828282631,24773241,52260854,270645178,627339677,221435210,72539087,537869611,246661668,647484866,699982624,365206092,550220071,373889871,306383593,947251694,949752938,947418133,264335760,579410851,582406686,472265691,962600000,371579081,313490243,138513687,165377208,205834408,402623809,798206125,88959978,56982090,86692718,973703419,232437734,342255950,315941605,804762126,971189258,874321994,715677407,284049032,937082522,807553455,650281605,674384241,620330757,982560761,770613120,998549460,561243961,206978316,743960018,636674591,244374138,354913062,849750121,5560236,775851908,951891170,552525312,731325023,259997041,649341103,960377011,862863567,844587856,499081282,553632003,111528312,664470570,433329449,950270396,156582835,467344570,821551208,973350710,808207976,546381753,304533747,741355803,401661311,910541552,301145392,647120912,45789386,776339013,367147003,221556320,872217147,475358444,179411142,512822315,503491767,417096999,358070270,642118631,927791154,716250120,218403963,299720485,158491193,723273760,409675150,140829728,536626499,634305565,906301950,446195249,896743248,152971623,253715324,857011953,535614701,61738417,231705097,66900874,91541353,651221428,850483773,551974400,751365263,967786418,952350687,773850385,832276273,175710382,479105915,272421331,614885263,83890396,642469862,123833323,402036882,525178302,359682748,370481361,417789550,755528834,427846241,968624206,445237634,830368376,724369380,143458206,726162354,293792799,371629214,616436096,556734964,227344632,403173585,467748545,550212781,393533866,451115325,55262707,802055255,859575865,816585000,354218330,204512506,705463578,612215509,93132747,890371178,325539314,505076009,615630441,660480699,122975311,889130968,414285555,324148357,748688082,590959740,284735164,23254324,683581633,253034571,398837349,118548164,318088348,803123585,228070291,95192170,177746189,612859566,492260627,78566336,315961823,557397067,872223060,749431839,73620436,141041980,371349471,557368137,30577247,120960927,436466255,973792644,904100640,863498923,885874753,795770248,550714389,82033884,792653857,211453518,521111429,380788987,394726702,599357063,449599058,843913661,923894328,840770108,676040156,337761751,556117949,62278243,582806182,53930493,623148086,909837281,799999355,874297196,683601041,182070728,695985152,926250732,814673942,500590932,888021422,984303811,719737476,36715831,196811810,575035046,403494161,346201556,938769320,804897909,301390119,1263384,420122719,429792765,916404256,111581760,873140541,950038906,226356606,737234919,913603791,348374433,45774736,43605369,337694975,663735286,396273012,523029091,645052881,9901980,827909503,363424956,862248704,763352587,668719364,487656899,705948471,36816049,446095347,945534157,738815911,604696874,55298873,399546161,399965498,550088877,229565403,657388262,372691227,509794106,859565767,426254757,461473581,143448595,991993666,449698783,36297451,307551354,746037862,56760110,457741093,467275158,278275219,411190092,237528705,913524326,418922309,838858325,971669630,864218897,655550124,553795312,554222208,667260113,599528533,50423070,268646598,594248142,920513190,6237994,452349752,991412768,412199671,60643934,572047614,66233451,40166888,448667264,15419032,702602243,210456209,570727861,168207178,262340890,285605665,635957969,711011944,692038068,865686695,181942335,3121641,604353418,627436721,682297836,154939108,81128403,817245092,347257060,585119056,607020795,790584184,589877500,762381128,27228748,550811872,885132123,54374852,88413412,261238660,972185056,696056202,378902383,312024803,334722898,525460340,572363610,458633758,962397979,572762989,342709514,630809155,285855471,568232519,909037856,794616394,983536228,43496949,557905365,306484841,832560073,775740442,881813056,451487157,25535871,864757162,842332613,18481143,529536438,326361243,589197096,792521603,532033640,47389378,873650406,708989137,768562210,103823319,65945204,784496483,445089304,672162276,404169225,286651231,878875149,650505516,253746733,865322303,52690969,694002328,427759579,415746536,781742531,335424638,430013924,490079771,9943360,399062439,886330522,687814063,976213110,371372842,214373639,527264517,12173787,163384275,546868303,540323733,946453458,226237810,300221862,412840051,669294402,641936613,292645443,315519911,728352526,458226052,546785163,263462741,403752629,230281430,687889384,624818007,806072861,361930601,408387900,328418229,769393599,949767289,754950199,406209966,710392146,593523789,728357475,549387164,688603670,483819332,417376673,207546210,744024663,772600826,483049585,886248443,271342650,216252862,991394591,656530294,165288336,229045636,256062228,106408122,445451532,632815157,34376587,198212080,65683699,714932516,562296394,350467107,681119163,500661421,942201613,33436726,318498939,67704704,772430469,975816378,608781556,366532602,140232144,966361080,660191024,83634447,640500020,690918435,331708301,372438838,565835115,808066971,450832573,218217728,164129506,521411904,376980265,256192596,507584828,258870903,944570800,676599072,258832998,913984417,767030274,552320992,647625077,916283361,671776634,685255274,843840238,25948010,527558374,593422299,747487487,122825539,890070207,700248798,95460173,193876453,970660701,105032705,509446895,163352843,413157125,168637737,478314906,830921297,207021512,677862497,740715531,6624579,307788152,699906878,559109733,972270512,441367423,832030151,660952890,513246692,872818602,689747068,56455147,954041746,914778521,724112037,255475106,250541777,273675771,745664323,109313078,562029126,114022457,273834881,23240835,38183968,723848753,630001789,4101864,771778324,789401154,245822201,482972685,638405196,929109489,522489938,256962182,858123508,738377667,755198136,453669910,175600977,215419491,975388309,1341551,732049942,228388576,193950768,779212415,209200986,197396478,398819315,570642256,675313605,512923638,455802113,751368409,792319384,717305022,983090558,81196302,419595775,369590119,392057145,225551885,117591869,10987196,383340271,432964419,425989569,187089116,943909683,14997552,995605691,278566694,82083968,555887035,816305135,890641557,245274445,807293387,231259532,198652027,794125132,975194455,278487549,707715256,214745101,690168077,774917214,152991753,534900948,810958074,703728244,123525040,738863204,66685481,246327294,87236325,430163101,318493496,607515299,809485072,18415703,145332253,799981218,988309539,920810524,580764883,871679443,459915359,686331534,165321728,219913782,83533550,185509961,926348141,666759786,636715482,52262111,660751248,626666374,18728321,915280576,32705376,521892735,883712957,449411792,617647110,952209142,963086177,44147852,168661743,359588306,469136284,384452900,887052822,165877397,972801305,583042150,817623663,630806586,913071020,436023233,773577742,269239176,506825173,797471073,425565824,868596770,61810602,472328253,207343987,706613889,808120019,308556276,462301920,249197357,594191044,590255708,275078443,132267816,975439899,498830245,815524146,853737533,799020191,268883223,616159941,902046336,710727747,543802411,296705630,652437341,852892329,673803490,247686,56673706,747240110,312584270,848628545,772143589,920017422,966072022,809240159,61846261,885207646,554080908,394269600,235763422,169984595,370038207,669818483,154972286,874095156,529461364,843883814,326233207,930683155,248470639,988953775,64747049,998167888,503078230,775109019,170863346,106911199,992411058,293989174,816498418,782357901,122944638,726658681,322203367,766625116,290987939,409187408,361289236,265700234,84954305,987115437,875509660,695407535,545983262,734854605,26260232,651892459,373531196,393156367,385793910,926144629,940089174,614626622,422246667,889034293,10157176,965305133,581883975,788785988,284548600,272184811,58066463,243875477,259312663,564849730,920478608,638830717,187048267,158272394,670180068,906875759,579708997,915136613,506026541,606981038,713710218,252223951,937559665,758734935,748553001,442900274,701974261,418254280,858603366,604774668,145289820,654766922,437555790,356495277,79914321,68588378,457051902,70511012,736044940,558895232,46404403,319273954,315143273,543934163,349335410,76277153,978287821,419814361,633883644,185978006,226229967,358351668,226348145,884917733,461247990,291757446,303906649,272725723,361263479,824464670,642200502,657355565,48958996,329164789,151923716,678265507,475803121,113527682,906508381,174862924,200463375,540042909,685235858,486276306,539136750,771690258,36620006,226525121,100522554,295468063,61026113,380704974,62227708,463393930,424036891,67605917,916975624,129336240,932152680,680110289,628555235,198525727,206174520,27346133,424054251,374591262,305602197,283387367,449425755,155646449,244254216,64199014,798096446,943440238,530995282,92045871,381418275,989047448,27372176,355370600,279520839,181715184,863623389,858314765,48389427,15393510,432341180,121917398,620207161,916690744,248390926,444214925,548706444,337216591,220463718,418488644,730701174,441820320,704203526,834603621,460985406,738874912,908327294,44640929,212671255,565167684,393814042,735288712,721206895,518482816,381140941,417664478,807165260,189755908,400186575,303259190,69185018,469908871,881632243,896067877,549724019,236553338,929142368,115036899,324746567,471249309,99237378,386588466,737799053,898789757,536034271,850726624,696340173,679982626,700495545,254139539,506626701,742061832,36646263,813532022,267953463,991772917,631499621,261717487,948874681,112702910,358090968,775308156,790469068,373774125,689435158,113845537,944309723,103086222,587437792,442505825,955659299,822479969,75929908,414705383,881874393,796882167,121016121,480429108,683439022,165153694,477300320,168437019,928454754,228697590,625987462,792553058,543375217,575761543,493078687,275735428,934847132,151158514,310989741,485921552,835219177,819143563,202177779,214149743,93873331,249551044,304588686,728550248,419058857,492166808,104093084,464246976,67803533,369570385,719503273,663796880,435975223,598361030,609847853,128919527,761942030,981399429,117242577,923181498,55149415,874572728,303048462,287943100,998991697,19115703,173800483,211059632,189241183,996595127,792473146,582352480,911040372,366724361,639367351,915483368,95471672,426834906,963060060,464101347,68273671,2341270,853552608,799688823,871374119,256375927,68388439,127954007,959344388,348976726,959258807,733111030,265717621,65985958,709037003,684260638,300291856,654566806,134579059,885238268,780253265,877448542,561997523,500194154,684820017,519513159,914706809,83437914,170929289,393202383,324027501,227735062,850375694,30205220,681358596,30410756,237304965,323070818,797537448,25616963,632003531,619469237,184976183,58537164,112382186,569446008,809389126,509179169,267814615,226133980,331442730,188321025,111020104,728640900,542188253,139839698,450509319,127261619,839171984,647038920,484874454,199750942,357061765,645847161,7560695,63367623,386152488,25348094,697882748,226412164,557756335,320851051,426094125,586781322,480684615,157268079,51987820,671715772,187320255,814937799,730244475,530772095,649736669,407348304,805891326,772586122,306255918,294921104,696569664,330613594,818468268,703868881,574950598,117436502,513572463,688949047,186581234,242668426,968908492,58691872,416168282,297907324,120623060,509176547,507482716,519724103,85972711,925203982,158659710,865364490,507145484,393922874,733006847,45269021,830801459,150396250,616289141,578899217,734134024,328702650,901486738,3984002,5705505,335620742,855000392,770307290,417196881,750493321,971381486,207659583,608270963,875266615,102981449,870837391,952780965,60328358,966216793,444654308,340461478,650901286,617201589,606312959,53990111,233465169,772964106,777510565,289021480,372706848,4468243,628444786,863310035,88591576,591644749,463273284,367312598,791848167,741414560,265217350,635358523,123654254,317294768,649501454,275916638,631786015,946840823,310399512,932911978,6134969,678245271,279317599,168338749,94673018,732029643,708384871,345169628,270469369,529782520,449719415,917199830,184020461,697235376,554485284,967122452,102779432,106014520,384104117,269946290,538913778,307803560,464639564,395498010,437344058,986703022,667762188,203379052,308661339,658763522,164882446,579143770,639969073,875867704,146243780,294343177,894153118,123164026,616824629,585243236,787645256,406014529,831892166,764639558,49795792,709210788,143288280,944589913,670451458,636604746,199913816,44711982,702901136,154201716,93412218,184123785,451533852,799368906,602098033,625313942,468300853,907696079,49015703,498364241,622175095,883151545,223907478,637868163,942719089,615128681,632838897,403604492,565165379,716239468,342928942,444059621,634646320,818731926,397470242,560074853,57669244,657353947,680634498,203222375,597496360,712920749,102248430,741380638,795476400,554103189,891518000,175817158,9768620,166220575,350207135,563014487,697126335,468549836,366168742,956876988,77989735,16803890,492091314,983588322,702807493,798242058,81318862,631065966,54338346,326600787,893063098,889086426,337999978,402779191,2458783,742951499,554344512,271482619,262694572,838149233,956610653,86591257,692057217,17525753,943735255,395062524,314626230,582099639,146244666,646809172,440147634,252038220,992018464,901246598,762522401,109482209,212162395,811523850,414871731,303284289,83065352,749400549,803430711,719348245,52087598,657730714,644512696,250892956,390838192,99479848,571583078,973246908,4221601,463549077,118180061,894384427,150331299,42029388,193556976,650164029,716808554,291519439,206855953,818172063,953712438,600825783,87612831,62580812,573101481,194210151,733237450,511978659,338943466,455926923,370071606,434808346,499904136,1578530,399562183,168389909,270328016,519542640,440260315,683575708,636335887,999596771,646564854,932417922,697126744,78790771,152306815,206824842,92857537,284078311,839099450,872089334,344332718,957990125,345750444,68907,997994529,328067693,197231849,199645918,882493255,744858955,199109643,290856376,111335178,202902698,874557369,385046566,405424801,764338524,47703822,377321496,819327790,462801230,657478523,939564217,454610966,408545189,564934958,89637812,120912072,1397468,28896250,143746241,560952254,550611439,424971782,37651571,860608225,780839734,514584512,839747604,858538136,744362034,342836008,267373989,164083168,136206635,54542621,712295402,840871325,851807982,210618207,472060599,656410677,161504117,172020829,83201788,207585381,206603015,455156945,206722047,69974517,862025303,317225410,577237162,530800748,301477573,974890295,241493267,320458531,918989201,27562256,662807951,994848492,841821070,847341743,97426581,15783323,690064837,235663537,845169862,212780495,241237562,749375576,267117956,396067730,986884027,94677294,758314287,612343787,334176097,978649497,344532713,289535441,863771748,780292134,905735440,984331374,767835467,484577913,415025655,233562732,577436977,631498094,411937822,243720234,718281124,348234622,357780913,806032090,155982709,797821997,662597701,867748821,441022999,627093466,379189743,427316988,31447649,928195731,871290142,854549495,940310473,777041674,881830767,387691683,166935569,815690515,824694783,589713099,92969066,504630088,304821076,223324520,974525671,218688287,510634710,745910286,955522673,632044048,322930166,880097970,34515278,711504283,71601451,244264714,704987399,188764431,124126857,115459332,778999183,239412483,296992451,400939645,820803394,510838401,894170600,638538004,329849232,993805125,398988409,373435678,981191906,123738426,176982384,871581404,588446734,233584279,507733047,130363082,824197818,896479518,831463631,502601821,720694724,874320792,200164110,680470011,867493222,435811669,972594802,78084604,918420610,981271955,615459740,977985162,586062411,592450158,635372564,860177535,920199220,23089846,742623858,329261313,720541688,662367095,635773995,63766187,37625105,345867822,368097248,216646791,234222315,173126067,2071620,528587467,220441984,327565990,767413440,527745509,81060519,153414233,178751194,781332765,993186497,950873601,205252280,790284397,398784543,642239700,457778342,221203745,28567299,104255973,239366319,87157699,372515433,356957866,800941371,496931239,776772148,218811710,449516592,644389522,973904951,682340873,898454458,369376634,856666725,117680915,155395253,197325335,443504520,297642696,653241672,419805916,571509748,251807577,860343707,78309712,497395866,3107153,748825575,731413961,465235985,255669190,119253188,286309266,514654832,403118878,153962305,734465926,897969513,876218337,424556148,865559186,858128903,816470609,623725530,28671387,811622071,340023043,67653398,259560838,528559547,302614226,843356540,528213414,787376593,624363934,861175746,732385330,691425954,452274065,868411829,828348924,699045547,239737143,964540669,92293279,159939784,379890015,135661886,334895896,94000218,609174573,230248439,330328849,94842560,339637926,67873318,988944887,878506567,19794548,995470246,666084354,25579417,551239335,105019642,318202489,56476001,259533942,869954844,598344990,280861458,478895992,291294099,639964119,499907884,953428619,452867496,616216540,964507910,360486256,149818312,978921988,63549404,880177684,59325767,105141560,85447942,45105319,40611515,671745231,521846637,445650881,896525484,645681992,120681477,845589659,693705759,751179002,414504541,404635932,650645753,60233135,150991810,153508977,935103259,612537078,744874571,315336833,596066484,946366709,691265672,249006225,151100770,973627096,679801847,779792602,609946083,47012720,468385780,878252609,358464170,119610670,94491688,297033986,272684836,699605465,78903846,45448882,580452385,468023517,156289568,300256527,482437761,210553345,732433437,475611942,222760217,660519680,960968145,743088201,934102399,822950111,467904702,955851820,629357975,741229226,898602388,349341477,323877098,3370871,981589194,362809749,418254680,146071819,761196847,530555833,94218756,39687439,74610854,700708611,235963412,720409100,739320716,139380333,20883922,598956445,673946598,577984877,719561268,318332982,264908801,830120205,414786847,359981680,712490848,782559216,342884817,788483469,150667055,515161439,830993671,131180703,653233033,199932422,998782256,550851713,56702765,889107210,105835060,365878083,994724248,701578689,998097250,696739399,977726160,589951820,649439579,53841862,593943647,641539068,64337365,422643129,152695446,770144832,799898377,24948396,138520954,852892894,97623505,408991769,611441866,528759384,513815251,766410895,822196014,472129302,480211517,601538422,826405944,5965991,89425933,611367626,42250955,304156653,191240172,732400231,327439064,900906822,71728537,426469625,589779995,192509071,302283674,157617849,516696474,678485157,281091661,329454561,95268910,644153521,94801079,855841794,222102572,334804812,827990203,31726390,866361833,58866571,916363208,769650200,951277649,299075917,995494051,417447917,884690628,46450626,361101810,159444281,434850816,713763804,257559431,265050242,192719451,871707400,625850660,331333056,609134780,803065440,294130503,792732845,560797148,905037609,801867836,913745298,517538610,11306582,11666448,429951744,35232843,313001341,524616045,960683793,276379506,321856629,534291179,822493383,488501677,580355544,989899512,574860184,719093185,879851375,731772308,516089241,772815674,185736545,208002740,837692494,796014127,932552741,729162581,109205588,518288738,400827588,893633517,320080539,582645896,371475886,422654542,482153896,331995211,103757570,424415355,301025149,750063904,166319671,667304843,816573121,58614808,294025297,829954656,551841013,113440689,98135134,128442058,71580984,168569526,115651252,134326576,381249905,123220264,140430226,303237503,824129782,341293914,152899672,76031228,448212723,665643043,264824205,741073356,895049321,871199102,998934237,995097557,129637324,984643534,775932383,152039893,825483102,860267048,490333641,21540183,343160933,936014042,201599371,950713498,488990359,332827180,866462513,897289942,568656003,737351142,800828306,96500538,61945808,594716179,782642897,627804663,710504208,584172822,256010072,27171885,725391444,728620645,675682741,922224046,555625819,786157190,178274876,591567902,834799983,797605070,912854415,468355615,587849032,141148822,949111403,64487515,330851688,703273305,795845490,949830945,636592816,576956323,913065648,53300688,828014535,628294855,776258188,471283132,175228700,427002246,357022566,86826134,750971578,752503690,747879904,729587557,57194809,148114144,705564294,780724888,44658409,376553807,351010051,827314634,223014764,972283383,444532966,824418069,88457936,872443682,114913775,83977637,764653092,231165011,20608681,177179856,267600585,267258902,626287775,708405250,817412727,382852014,420678103,339265904,943198643,611435473,530885073,868538150,15034382,729507749,951349260,317900535,51617915,907449103,928113628,528236094,283684244,756989197,677110172,842528857,889744181,594318087,726488815,862874197,489493965,489405934,67316597,98866000,285109940,361527616,400488779,806982986,356298196,376818697,843921425,921633233,836106511,934971888,752868871,264423151,693592679,138937614,502928325,963975450,33086503,182449377,774308940,883844529,589414649,487075898,548397798,252721690,450578829,670608699,173629403,191237173,669250687,532737872,516603373,753751091,677944924,221484645,112892554,547682133,966889915,92134416,322828514,188733628,988471745,584157224,248507846,760369427,726614340,168240441,123065783,300883366,139284667,14223461,698713370,835325969,82504760,830603341,273654735,164417465,769240417,577140326,202966501,753934918,140700605,429454516,741922316,432134883,320797171,175764515,506445799,402213870,896134005,656069329,549232042,45606345,71531685,226150096,960447635,349492954,946423836,170700562,553412817,697965710,275628366,333726328,614147994,497438148,410207591,142940450,603738661,13058948,817686875,407495698,346128302,264338939,888092064,932054891,603764741,528540693,356277685,251656572,618356585,967637438,247402217,849212558,349216835,554656824,541840395,195022282,672612999,623597166,336349675,285410162,942418666,915617831,70493441,982780213,655809856,493168926,43931639,537368858,685667438,351755460,211006045,539548235,691901067,55877949,673336879,780073805,433563414,624941405,769235186,141023366,446281745,857415853,574153216,949938974,742026155,975112426,196065775,261011361,755281867,928212881,388180840,678268799,502221460,412393671,95127732,31814485,182618077,347339558,761042505,573728198,593378980,434016377,556261263,694166949,190858242,727246081,172554208,372745953,90342500,940558536,918136389,229006550,692583747,142118027,904519239,619156448,592324657,832848281,210934199,128334353,63168295,298310796,761136679,91230637,53501624,946698290,217902075,306020741,565770264,577575477,897944639,456642087,338732458,947033887,449146166,126142435,22221990,921990494,258822261,622657386,643422912,807370080,522211941,303364678,417068326,423294127,629851895,95038696,794001714,219637,31008864,134397553,318956349,268122997,544785274,312883401,805836641,514963266,136136417,322746437,441113787,823098437,568681696,804967323,812299290,143847954,531427634,553142495,9459599,241792518,40585455,496989631,926704891,9822542,64754155,822874185,595045929,319539296,709488235,884197732,738723580,475067370,287698433,808544423,87884813,596286810,642756151,554722445,2779158,218717735,47228779,972389851,285158769,476159527,397943531,523867996,470831300,283735772,15848437,667473104,410508651,69400047,126264693,809778158,303060091,631120722,733608557,798846594,655257041,773116415,124383577,344293351,904901004,56600756,299740642,615358537,856973810,75235638,352503810,115082218,146339258,254524457,470189527,268326922,293783467,718481027,564772932,63126580,468300839,6633465,490367776,415715401,69765036,150012818,454308105,575839271,467482441,211098170,893693939,119992600,198534530,711993977,902632498,129365800,620292065,581547336,371526047,85976173,73713517,78560297,346978601,894652122,281440884,630950779,755801081,668858972,865477231,587203476,303366998,811551394,61659372,287162279,877457710,722568882,948636325,53564515,467661123,828566169,411419545,486433131,951208570,43124601,794505997,489742510,804884823,496114816,311906294,9576813,194314961,517559527,701904527,883613989,112829514,717714656,318652662,278820780,191625563,783270433,736548973,562367511,569749347,227848464,395119015,420756645,412714517,644467195,576469676,184266146,95941775,567418534,652941148,14065729,873606470,61674248,654846992,320056500,68495554,150754609,547746910,492669687,40560917,582063822,998873529,910233424,920299036,956180933,747324718,513983214,948699255,415911326,887714907,399666852,262209895,137511767,21208737,4210592,630028752,955730276,388998258,635081035,762499544,582570370,849637818,354632333,842977837,848076687,316064094,686820993,33759547,228876521,778579829,997985999,196216182,198146581,984510375,852295143,350541383,387254037,588995288,86947537,394365331,37874217,725843917,237799100,267591845,617533426,931253701,506931874,394113497,920463756,829137669,543907280,374341917,965190496,182471688,716243882,944548529,400093572,656860457,159490958,414433658,1133657,771175763,954898280,648763463,108282510,870034242,194642228,591411907,360162705,795994594,721490235,260268071,725641022,80553166,25847589,574976269,17136731,954794822,8465676,475056644,302649761,366454725,591774324,114862902,263279541,244898666,361204725,944713531,100888005,214329173,612593548,521593601,956642071,533104985,283999536,343045808,503727083,814164924,524022532,161235165,11798242,44426795,701663488,370962338,638459874,492856060,838674304,812038642,55502718,240080629,652013645,451130556,665005986,547826364,69724787,603978111,150045688,473450658,950041346,962759669,192453746,534437591,545862325,54804488,757185229,485566262,642607902,464674466,147738764,42068905,300824919,151519516,996504159,694330035,897147263,488329747,805576373,482721717,606210396,428908346,355132124,257022813,662623421,875381851,244292817,917456975,718227056,529976905,761286582,384366749,581305999,748677229,100648155,735620290,553535127,23160075,454131603,456290676,374210151,534624394,809741368,503636351,864984530,857384664,110950737,217686264,241262217,455933334,439397140,695086678,900585424,419653073,496746247,764354511,617824397,115785168,447042137,738205803,530945607,400830511,875289412,478543662,373509604,7672992,246206958,100028727,209074313,101382148,78419105,703193780,968533612,111944858,448566225,776521228,38827038,354604231,310912124,826430618,484923211,570647226,745846639,633507417,983540307,52117726,165372006,5775868,134944571,642328868,941041311,134960166,940278931,749347680,152168028,110984637,598991297,905839151,779311459,896963765,4282197,191336787,269129671,592492463,954936531,635168074,612409117,358324670,33578788,854618250,747053158,265920331,280301242,289853830,413724106,188826467,880353526,373097002,614778318,778827379,659981504,182396473,717899527,842626294,369947426,140034790,283128122,344448421,688616258,152415190,368847622,652677586,281153275,837251103,659045755,569329682,429278987,1937114,184548951,382714166,699350214,833387479,453922239,472901197,706434259,10495759,474278570,52246564,795643674,804915740,361127791,115215691,3659034,828203175,885067979,503459643,603548659,731404805,302215672,629501643,547490664,681029574,223672637,198429442,987594348,780921858,33238126,70882342,28960598,648602541,286610183,840856646,237257814,29741226,519370401,142946131,715272061,438169917,68560476,293986268,911004525,402964136,659897726,569516052,596755939,437859971,239105066,458501178,743391695,76354951,672207912,974431681,464181423,147066931,848452465,470922437,659651420,204842960,518133525,935672977,15065899,816346509,789754234,450282096,20470941,740578332,298747023,712798324,382640065,415431159,324319080,529754781,95394586,190017515,912035468,936131239,680381125,706296747,697084209,836346002,971856503,123851213,175528082,60801199,457623982,365232791,610893375,23826318,705936275,297049962,909850050,452714550,916202701,251705112,790817448,401410453,529136746,599232551,704276247,714104136,422648499,309706145,608901045,367096940,892327671,764897778,228697170,360421136,486239854,808690388,731491589,137614323,533589587,357539280,394853151,759705304,32986699,873239439,126853231,991454255,95857925,792929905,862692323,155476384,985639271,68435055,969455727,487342747,230453217,422524699,607980322,143061150,718791669,201023791,569043225,756178920,88431838,964198974,321569686,968812864,941890734,163057106,454965134,641361341,227345038,354460082,709819714,222731518,832815951,619780665,699169121,219023076,361645020,643363697,766594352,689353822,25366558,441616564,906392129,183330636,479784953,130806224,437021985,964564269,120580864,167622785,761534006,226720790,442433093,661978919,337614030,399867004,205678868,391467624,675966443,658882310,589196965,905733,396088188,919768945,211762684,867984958,772392522,242953552,503705591,616618325,887244535,264527228,627215691,268067873,394370004,714709657,860538255,470087594,29122963,733404065,855207245,588718411,926776356,382731419,803974120,830021928,493718260,932561944,954116526,370174112,550630790,925257379,398457061,26234442,123648414,731936633,329938704,432349310,112057391,489851845,91275071,60051596,247216770,297912447,135652529,869555488,163554468,682523289,626339069,620024533,638860030,525539335,104397441,44907547,560383259,538643650,770193228,421007130,102030749,51062469,456874056,40340720,566975712,592700677,20994768,971951699,801224666,892946094,701127980,970526791,130981692,406238794,125611834,520466253,757168217,839970955,112422811,937290285,465541821,155842166,349222602,3220927,10054001,140232670,152722708,838448122,751930641,49564261,127942543,853753919,504541501,23599843,450562268,458043077,234790446,287564331,175840019,531268895,469574412,809411734,223960322,267875077,748105675,327666555,418161294,966247641,256488127,576054959,772787653,783983961,378629609,960047300,392476366,932461177,796796230,453472823,102688653,370008857,807312098,543768454,490931575,772721807,317837000,652611084,829044480,740554289,57236664,438478706,442963180,839103640,423026026,975697732,709150590,138371458,132007616,654274111,702687230,987729992,290086818,496073391,350577862,986085278,412829401,891902960,728976629,93786959,480675727,961010631,524213546,105786276,309969094,675935740,672996396,88508491,62667275,232848785,342476201,445190547,596047024,219420736,297190484,386066145,645430525,851345879,730792331,603379070,529387594,86684583,715110599,937648075,565471845,864475769,347386294,703453078,704594433,404707610,697299398,838907644,265789536,191673419,218721085,562130375,642817703,793708851,314465899,392693108,289083822,247862464,901650367,254481091,164175357,616082678,204875023,548526858,824321192,667884015,570298097,119079989,426905998,176878247,359361120,189325478,6878874,624000141,118733127,727540637,492024715,278843100,678556790,365137696,615515746,693916281,116252489,692473908,436913683,575652790,941932312,207692389,53285816,688945837,982714410,271796105,830735764,648412282,250903187,831908222,357191174,49310981,954310834,52108506,872961349,33324033,789036529,526561389,29670325,632436692,878700696,147059711,535970737,266589239,831254457,602574447,806757038,639700664,69907060,468382280,453122403,132288748,29105443,338314891,628393012,901686238,784377188,100570552,610189182,430972347,861731829,658126804,980400247,546581738,908287644,658940109,386357455,411150701,231618444,661489681,970601893,667085880,524724372,810913997,563686675,203601584,120633776,805026761,558720445,864665729,427431188,922187669,661693117,201429177,889821157,931000381,632507316,69329096,997956290,466029771,63699567,35034940,423349924,99624454,139071617,416895479,185402925,894324790,136194422,338685815,857809596,659240085,95335519,433286985,347115737,999106925,855941696,367215628,293295819,298963181,778810963,573089352,970619900,816635811,281601799,394834303,555777164,109927505,97724979,866206780,907187972,389337332,474535122,277084950,959474109,721761588,164702149,800445289,290702744,695973477,449931174,95643240,772415936,813820160,957781385,242240273,112522169,884455510,993321311,39795590,149671289,294133110,947000117,676117910,657735818,331402061,36948144,887703781,608279358,966428039,20701351,52542442,842539891,593601247,636541334,723032402,947120076,474925260,301020493,274564763,541685835,823641499,497184504,219768064,85515020,559231929,518269849,509268664,567646171,781124565,757331478,800909006,387308409,318239624,785295799,129574641,484317987,530026576,669413867,285812755,842786585,105008725,388856408,354423872,933367852,568619890,432008061,107277729,62540403,717610896,200272092,367271670,530939253,875652406,120878733,171414619,672178448,312564906,781909090,330132873,960441181,208956082,138966619,695759545,491780377,175834485,922150690,674387961,759811736,613385073,38338809,625477122,686819443,300896012,966998277,782173044,804873256,237465721,460661085,686025481,907903644,371320905,325462464,649781438,112005930,303600462,795469145,66217737,561108682,870192785,819196033,266068207,794062450,555083808,545661654,682637105,979593736,379620528,196755378,253724380,819565264,326976332,355735355,471721333,402298661,675198106,243027719,622363488,326616790,574204079,140618438,640066821,403362363,350068111,376703477,610718222,527006658,982042598,150158756,108375069,620829874,956632682,234044081,972564362,448918582,401740556,347301825,962301343,621662735,433703259,540042530,168082820,572623933,303334385,785167053,42924731,174666671,995706698,417450989,950130297,642052011,406872128,424214957,366556661,69574083,25129815,848261659,118751441,286325278,315799630,336618553,313018489,284212089,132612650,855062558,180634887,628077339,848213984,653218421,75910787,110468337,696378126,367146327,99432321,205334279,778383678,780275519,865482323,961420622,465121525,841010558,359935239,574182188,934169253,16010236,423399674,225236538,196592483,287534722,112239001,842869156,160108472,222383377,727296912,205079554,94492128,371827163,268386225,268180249,761197952,906237738,635121138,10269875,97885476,451404423,450642449,383977952,187141740,837252430,24575693,896151168,262739269,206000686,317293327,273856737,993033791,159801720,33657334,630165423,731909319,224567786,392270465,47647798,239892797,709632602,205625974,490068683,859456672,880770659,420305433,673332038,96917693,793673224,743588899,280262453,281982897,850715526,12004626,259523749,427375317,796845692,595169865,395898449,469756066,577620256,485891404,605200077,733177340,555808747,330965340,548131477,590938568,544604312,660166928,140285880,60953882,751856114,996918242,445216051,298328478,144501400,441944593,718209605,908966979,839703924,528194701,709884883,610284515,115247912,257248906,462729124,627231771,633321558,229348978,771555959,456619655,77549645,582044302,439124494,167071770,679736238,882106808,64734308,533294118,722092405,541160376,703632646,48701150,372328693,993184002,680391953,489764894,165009951,969111854,856849763,204636472,228411938,118342664,813410269,998104264,354246516,963104919,496518901,653532428,105712215,335385511,285794185,954592489,793551527,798988335,217626587,602888702,295637374,396148892,474750642,826485485,196684406,332184133,930592752,250384371,714610663,361268909,370678984,142676247,538220894,46107117,142432983,971531768,548439584,214668513,326016672,5027246,58431796,547222747,658868972,605393445,724158548,940403317,474635136,149312970,334507321,627143110,257335009,634717859,649569138,69244685,804003568,675931402,934806865,368721781,186518658,462505082,35294739,227398121,691888775,762626198,734504209,874609055,311254525,114223945,873304858,341075070,79497601,331643330,178552676,298246201,866419667,188008153,942825192,933414426,455674908,182017047,627627334,597549539,28355614,222898578,73833485,964952915,901689015,373754801,825118661,391637783,472585219,780253683,367924946,376270106,474644709,302369796,271004407,28172173,966664699,203252657,946919434,727971588,2245589,760546598,887777704,737009565,916625350,414087101,529949093,543596565,543299444,145769779,480783324,449184693,291742723,658366796,889398709,363094617,288562274,821630406,259855167,512752487,562945598,338102200,644232214,256946394,633996642,525370661,33172455,908526909,174608876,554068394,985509835,940619444,555187999,908173027,974159985,114976058,26443441,403979630,633352508,466910688,931542954,401222492,453466288,214049533,508247630,278634399,349822103,781029547,645177876,414023679,512839350,169484490,412149050,33824288,957852286,529646199,741507457,503232578,772065963,892264370,8947406,82697908,137668095,2852904,849592349,497435310,98461172,771829780,25960744,886156581,473566121,86689860,129748377,510853179,333874183,523567712,10314556,249795431,411596729,598480288,565206805,569361279,159499535,953174609,230051657,919333609,980647090,996174497,30394299,874666227,409061092,442528317,222590525,583155077,519457494,414201369,144943668,124539816,693051880,776940082,90303098,721757588,758471085,953407680,655544558,591510798,495513662,965452220,15022080,995166582,386301220,137638326,848855324,297344879,913451145,73784982,622117731,844353260,802726226,724889948,994568335,21152400,17472044,563147320,713374492,56167206,278488908,846876624,200274917,209304271,157474056,407756049,138225539,606388947,765525192,471240380,735749073,49073890,814041990,134778986,29976989,307696311,174417053,4839077,186591490,734185409,331483083,618665147,463022931,38212157,815941539,559552845,901697239,959625709,856423847,573792099,65699896,773085021,559819778,389558730,694547450,563694396,911950213,723437554,455617952,556237108,677131646,470655810,624128788,362291335,696337115,4319286,789831112,102360593,223649622,409803996,558711791,56313319,410440565,93939562,102416715,91513326,645374271,22180918,689868287,995958262,6453145,225764248,214270274,35276945,609303617,77888362,333135070,747762253,647703331,632389298,170587820,692361252,897138775,756090830,331208404,186919925,556365840,849857942,255200726,518401486,301867575,246097724,751026341,536360098,682935868,798560937,975189162,514378573,948399580,400230170,413560152,79488268,972784242,769498350,532179632,602424392,418426470,3539060,796967963,934763581,275346060,723301022,400699809,71084551,200205405,137861415,814698844,476044897,809347015,957956574,198823302,656999627,74644300,802791591,308037515,7838495,440891184,693637365,336530274,842141879,992338849,186723046,305209539,945697929,829742248,716065220,942983692,873737553,523012920,757172731,483806324,556125032,156508460,275882759,92293762,83140028,512570852,544312639,366360895,381259836,326975252,765643759,160095817,825065592,411661040,249357137,13081433,958857723,278251918,513657861,355571752,670087476,767003174,944772127,650837151,427049776,6619270,367353703,203376636,306317891,1574219,194480963,391327587,379779312,357023064,619151102,480493038,453933779,872691126,258914608,510306916,278337386,23404686,121827592,135583285,980893634,157769699,418583658,584220539,384049183,780467381,23088271,142547309,625239537,400576925,421391225,832463617,738255232,338180208,96750050,505806364,138045954,724381888,759023841,391598403,949450267,925061045,198710580,35870525,972157244,549759582,476126217,236440135,306202374,408247920,20939764,891880006,85821610,167697328,90917284,16647091,499023241,959309921,874561970,586743098,23183194,69851155,467452296,920179680,204184571,227619017,534506631,920786040,408800887,960641257,202759317,3129482,663625693,105683528,356559967,503308842,592084717,384391931,834658799,686625514,993911238,4233577,727602095,79724211,297573747,750082793,353127545,785414509,704275364,453402488,764475194,314395510,132506997,679707030,2950757,54287386,390671123,803092079,744228693,54910483,610261248,654656278,946609052,948600754,303497517,440393258,414574996,872516198,295756031,556242573,371977098,409970020,831284447,624923900,985975119,657000350,796809078,405275155,465150582,925259853,776413105,132161166,945356898,487769231,319719393,845229347,278275799,21878817,465584490,501143136,152082008,342771820,692209063,550910239,500222992,784666242,374432757,509711513,442923378,918791562,88026796,479999925,478565631,85945059,607229273,128544788,873542187,679833668,459319239,4378744,279392415,775426119,177595002,692491534,806815161,241097352,971362104,730695694,533299300,231383625,794615852,719016719,629581107,544245684,358444154,884382902,466027572,232896593,164010543,13089982,599077283,136229046,879380041,978578789,170503282,30526736,311532317,248611557,996066247,578720273,665493614,359299262,667127102,320009341,740395305,323713355,372467819,726534637,148788761,571880045,470002833,991285981,162672294,972359392,53631243,203525839,834129429,852402115,813756719,565099541,223767809,283135344,783266576,467115260,92156013,774134729,90286569,91752391,325434656,484201252,502661200,17963587,587933611,888943045,202774448,824163467,661529510,549969382,388459458,345468161,164820672,638102815,654074007,802434037,838786049,364745838,183574684,518836746,776583100,228810515,563149365,798231663,288791524,642483371,104014997,381243014,705741351,584985482,25108804,624863431,825762092,137499178,468554989,414395460,515457067,122206856,784448513,728539177,295306060,363859037,236602550,916139484,135773389,650975135,786595446,124381352,907260046,689215354,858907925,891476390,898027518,983683609,606353435,174243341,102706622,33331912,295971422,555725421,257668599,436994948,491531244,122398437,127854539,598291067,152537069,980037062,610593887,713551254,992369022,261403728,768756430,910664220,716041643,13661757,466234970,308704361,286923188,284633760,818062871,99180722,37386448,195620096,567629247,819093708,668981645,801552231,284397150,797421926,941901552,419296890,197966811,600660709,67181366,648253750,670205920,250078349,80915482,233085261,384719762,651049756,614290614,224673359,82979171,29575154,141321246,993798013,24148588,684954283,579900668,130733510,321554542,618220794,92615640,618773241,88538172,457328573,291268588,917444124,48660565,988973394,370910908,926283363,253763461,111479641,338282730,895663909,312971088,26802,625826831,251084935,134430103,450886215,732464229,944456318,214377588,792241372,10195169,434024977,889394168,959038815,493498430,159745882,187006341,832341418,295586460,447514348,663361772,684314717,544418033,268355279,465353559,310855020,787686898,717205173,265020649,265354895,455483542,223868546,54040567,759652627,210444407,201354157,100774243,950337243,333931640,62284682,792180099,975101318,339204695,369560710,601305149,138113119,600665541,420811890,666523098,102407005,902331856,833403447,807673980,531414141,97647738,686497289,337605276,3300163,631877637,139439707,393694606,99315224,758208580,250984328,803269462,595276078,451522512,514540661,579881401,337902242,556887527,453280464,472095347,106214487,276030758,806314708,922010400,481683855,730166131,404054580,892682360,370564146,809637049,345209813,858425314,657326976,116948054,176797671,251918468,342004658,231406095,331364575,816159566,290262053,956496110,127412590,471176664,822506870,43834425,310456497,504823090,546240870,351208080,947681731,754246139,119057926,668268388,584597641,988090613,662140513,359528532,227476437,133257393,495041862,266905265,301026194,947678438,257662721,982073974,295894169,868148526,472823335,869859722,625124031,801839136,106286369,149793645,143872614,108376176,867941587,394752399,296892083,138559861,122262037,593001734,168734801,403268192,758112454,561077742,390606545,986669232,73370146,573465117,768191714,888590742,328220577,168111959,765989875,339660218,904441032,122691831,949037364,227891367,783567634,13892948,327691837,784244859,12815698,863503987,466393187,346145548,189597770,495948258,303367441,233534124,966071524,810083228,754757336,54611188,244848272,521553738,827454909,242223845,297953298,621936864,221192911,318038105,872029634,359305896,404101629,634749021,688597408,70412030,712712142,774793097,268511917,550139353,372592064,635103994,865727217,349983406,808193263,772684515,58944972,865841330,471911518,361147468,868763358,388469449,615269031,885875666,213289918,117169359,277096870,545184653,182775700,107907808,443568105,272949977,270747017,355312362,471897144,666390772,273942938,800690995,466265555,348609147,322974393,747861409,103344933,660685071,904261827,918037482,596757481,79950356,362780382,992067425,717369502,900405206,663468374,278080927,517587678,468955754,447455789,885275224,593299556,638006671,51050550,36377101,495761980,372314190,724540660,141606417,922875376,955449348,76270425,321658324,967025527,584385402,253571850,608759072,897395378,725180150,184505949,775218817,305677702,4249027,119941715,356379691,353495162,425620857,999006031,942800208,896273841,148828740,946058667,548405301,384402566,140651797,339696053,946172680,314794629,220722210,402506901,283906492,780616666,869936848,772997994,629147349,296655722,243536409,819533180,266234875,226489337,839776144,693017088,609817284,315111464,884664545,155353037,310877300,54680380,196773358,556774326,984740972,758431238,560064538,772181737,754645810,859373576,233027191,959695229,981614352,263009133,779963901,256483823,158677668,821822801,719531110,947140072,320394444,944087041,819255565,112474578,405704144,78412140,938909254,516732926,171326552,974408022,527904500,696379985,522391966,424719125,289937346,730673738,319431875,586858522,382900841,989907670,56152252,545913740,325102629,224137763,715427767,410920728,144374780,265078724,154050584,722178525,165020842,345503463,467229867,254185388,988900710,255605861,469533240,956735214,403077779,456081089,455794876,260481917,577925696,332012544,838022769,500049551,774286573,475862096,276106977,358111800,676246962,654203067,437049944,12343988,222032039,870712925,407377266,445994122,5642683,838407745,90643359,280419648,478947794,88880796,829822973,353748394,550935646,928319945,503834001,33974940,505590641,554543757,828240673,696791165,730512859,950348201,658043834,359181896,931219992,275312372,151770524,103768511,448183007,216760426,984856591,352680696,371634069,752356780,334591065,295883632,241791724,925049392,917605542,683416392,850228974,703119618,371370292,417555927,976414893,6472918,195166222,330715471,699646676,817281196,252278408,477550153,461256178,852412563,902199106,935934061,575260093,35434871,953915916,253138290,472056404,313837256,72522519,796715584,58964419,111494638,485520295,105894144,54586550,434508842,502390445,620593083,975672477,559517397,609179108,381114569,973594239,725484197,363313997,79883418,611684850,357585828,447136560,264400872,954723997,790610302,439964188,965284268,938234570,914516363,394196949,215962244,844699301,131243425,91110073,350129940,277181735,590367044,888674790,485662094,703094325,796067001,998124898,772924450,630491161,156117716,75823054,439437286,887856852,605806396,479044049,302009688,555824465,40572426,489316764,755690364,539470819,80812225,852597923,852018563,207989195,183121247,574248282,400263922,435233398,824490208,936536038,747692871,747906712,271034753,879750480,669375186,119591854,601984589,496812852,326789969,949256616,687254448,795797134,474455365,767467938,233133495,619067151,887235075,141798306,750546489,142636726,774935494,979394862,79437563,804039136,408399476,888838413,887271389,906435468,410549220,367148067,413976139,58221986,232380209,452369661,526912077,519022527,882351753,376551583,721360600,747371498,584547196,961394834,771346663,362818828,339986708,495936294,385771104,879230702,12020449,945487270,464708101,595951949,656603673,287565064,326525678,482604859,250785428,636034396,404194865,990190974,986600513,419457408,199323530,748779030,126144563,241888055,773980032,114079140,929741969,89693477,569469818,415866137,740816017,944457991,874613185,849528284,512865830,294796116,23133401,884947423,362148252,735407733,612559768,744346524,372511214,181228619,810877410,245586023,488665387,237835358,432038671,539149179,497815533,268915788,971576576,579362576,301064230,290176860,917033266,29462485,388234197,72191565,440941601,515626844,936297964,103111143,51079081,364754912,525723310,88979747,552616985,917621957,266733375,305434047,136070240,489539969,642850763,872367951,686086960,828421532,365331063,102483794,396206422,33486691,332187138,83007141,682193845,552803748,705754424,507223092,720940783,477006305,809845547,777064072,577252368,54622512,224781675,267060696,99281235,498912793,18627661,262626234,456567614,927211208,378717932,848699014,582444389,628876469,707145107,248622053,388768778,406682354,642143062,999840032,576634783,12264605,639221186,355541179,282648908,116899253,753101205,996055470,162668930,385589386,712253667,546639391,641644389,777408898,380435078,353768552,775343338,222060269,940450664,737215033,969157217,84916151,283949064,60154463,417277305,273246735,734961966,621382468,618688373,170397794,712492837,122209589,766832737,886727592,611655309,215534548,905816354,28142860,672737754,246052577,954463651,355829875,774761167,761926427,939909337,246542781,256053330,157790335,756201140,518328367,824000285,743869178,403400113,456646391,437482792,137225002,373226478,463566988,535256814,942209421,633521950,597698796,702827799,97708850,228532632,230312030,613435474,110817923,9051069,540365492,33395274,640995313,361029618,97705170,242656234,899616792,482315733,345853852,746524465,374749697,285583271,184674830,255561785,123551091,959184429,652683264,78588361,993687904,288467216,987243548,250211234,131780353,267802457,280014442,8902426,285272582,651812631,263808163,725386367,494493666,741324437,659460411,635310573,745155474,865232066,302327704,457031120,154039206,168735173,790575420,175935653,641015204,677474422,990437134,883872194,18774841,611100552,684269242,90256907,74131584,682350314,61377044,865904420,584691493,301854886,612421939,505966137,987933869,245234953,501866788,389690949,334967736,219629919,236499064,341115527,341144733,589361133,511432447,292685391,974072231,895851884,557175747,711025124,264533749,624322953,759069767,977520541,520090982,888396703,6245393,189275154,334474360,480444220,532317403,33211212,698013021,171735719,312157803,876727998,216483209,17451359,799232989,579409125,443384143,887255794,706234073,823263626,799504315,850514787,402853812,347745557,995957981,841250752,272957529,45311730,997069946,570891917,977145130,392165641,843439777,515669568,464380439,813071744,992604562,89368902,271186450,187073392,497462707,429368051,21731223,50240910,144115814,762113915,529077481,739274429,851913828,880888027,157454228,930701862,358648204,329879429,188977223,373956015,21698327,765757272,95667819,338764715,23309432,528903370,935243996,175096977,715414158,374380692,63702550,831795961,91692633,622109365,617243374,746788571,969943102,126833849,45573965,528386121,754734607,971338666,936756085,638635845,31574292,461321534,276479450,988540069,531170958,352706105,912681245,593814319,142078713,111087291,15396193,422725927,649168568,85662094,955858783,152584268,175087220,183931163,826324652,261596992,732178503,997879745,677623103,541900014,686020508,929782017,973612123,387037782,740729196,526150585,612281677,222073771,844240512,130422991,940634436,289658463,105884846,625711263,347649742,126549078,722576240,347658075,114871361,277070928,612895070,408312527,377951537,206420059,690978425,721903482,428101022,548181980,275480418,779202234,534324759,286311008,508360732,741631344,588049850,544032123,389117746,95243124,610002492,898247079,141061030,888733741,395938588,602679523,271260017,345195142,189361893,273346375,905208204,383013050,454392107,562107414,262103703,135085405,798719942,217489654,753014647,958121147,484746811,805069935,683413808,507922103,272659666,356539812,633580247,645699643,981036173,409989797,357814538,27810139,409146286,512188533,520417895,782111415,529957762,375278513,724690139,223244129,800591985,575098413,11995842,478320009,558097363,810176309,686846206,753496835,800384843,271675480,70251975,832904145,197103225,334782156,807233636,960297725,586462577,585808716,872719373,487362136,1017490,355461951,367457050,948943451,726381566,331213830,487227235,3719645,811601496,28294986,342240154,852898188,275045834,883506493,325783281,592456777,916893875,706652303,834321339,746112266,539478489,405426029,625799013,122772121,273451351,485440160,711648756,426909156,80196773,826538411,750189718,672809440,613760596,419535879,896941078,192651899,363673321,555667238,392663504,260628361,442144216,188179660,839792202,475360007,754322630,535555564,590023503,855646560,963158170,24082058,666604866,139972759,970981346,77499806,398931992,249971158,882667035,217759178,478478326,722602719,909612951,978367056,59189261,848559009,33300824,185619513,518710312,311309639,778802410,95142895,330412381,420064744,646367587,101465742,844891740,319400717,760804297,811519489,93753233,516520445,599498486,290463574,308026445,528204269,370450294,902943040,681158445,447950165,412420394,291391395,740924885,464486411,979866689,605334952,128791245,512257566,729551149,810091736,678873524,495480801,453094540,840370131,810945797,428747481,430926493,943728365,434604435,5678555,723077592,41326157,464134268,39538118,75900227,640558876,83699757,111989307,225664731,695160296,830128476,927414066,664294281,240686910,979395990,256772269,766952673,683074893,943286786,460338228,9605788,329752940,121128456,104864118,400361386,200431815,215542147,669143557,79053341,197273425,145666636,200446296,410944924,703639764,945739290,497352188,292254199,552894023,141902862,404225156,399825012,836515502,198552142,120657045,427408410,126475413,321960697,310331765,332676647,204392361,838163250,229516936,562921931,784632755,630354394,99983668,359890490,678749010,376655840,828186317,987195113,6085681,560361912,233859127,168468932,692661358,86180958,260445855,668259657,200378712,280222556,710993367,851239120,918992344,254612132,646615345,501622314,525479978,341623729,201289413,472841468,512139528,442060648,195183264,177838863,904176620,420774032,938206812,457443476,47613629,395725411,219614742,537347603,652098378,742719464,288022048,183776710,506422625,11657154,60751611,110432051,377773769,883583743,791926227,413690648,91869299,683624796,743098704,316373281,877188373,785262535,396768051,726397211,756764176,406539205,359541203,944306046,128074105,352971060,401019968,734743147,714148339,326892091,519582726,16013321,79702894,936171845,311927871,47010850,925705623,442745003,952989985,103323338,277819893,973733943,258937597,854299623,820404937,755922904,69475546,254915288,187679999,657014252,630238743,918303380,398385056,42584814,254692494,714157638,336919220,264001602,792986970,970560392,144091544,826216360,840759195,839790315,393356376,678671395,117329270,43315325,15918321,801713729,108238831,171865285,781483779,164116876,846441544,672724662,155481376,63922284,336696061,264874968,159013403,509361777,900982756,795157696,402901793,211037769,625894639,696929807,157134370,678640377,112971376,240332188,450127994,768783384,126868315,802417919,743101114,2713717,510111391,577884350,106892874,213931641,771736755,634745557,536312208,68190812,821623877,754680438,953018554,35774793,67722678,15036665,106955357,802129602,48317984,485541604,558467499,858951745,191447810,468837311,708052857,187957426,543236947,894189810,917286029,217928493,893893469,513733716,784279412,77468135,479216527,990982216,130255712,393138570,394437113,929742630,769263055,153798280,924849345,699144200,464366856,79219083,794980169,971795028,974221082,868378468,988463018,417226811,890445188,442846243,690463043,481216461,711710284,819654041,723691412,44929371,141680941,342728581,108764085,967624907,497879764,636376359,609441132,441159142,823344044,617770666,433081045,960054358,268553828,302466316,694487016,461574760,39888791,365762306,331868916,784791928,915148069,133202339,291896876,457584558,652491502,636574402,401390072,548770598,726406405,956584701,4587938,535288852,670223822,775389761,95321184,45666113,273290591,516781243,186029701,304314767,339680577,644849331,529607435,675420877,721734907,898478585,924913501,590477345,737887027,336933564,681243872,50047850,302079952,275906485,968678182,299927506,727212133,167450393,342259603,509935956,838885059,753968585,273259069,448827091,176163644,875587836,567445475,60166618,829940142,619000647,379817563,322670752,404046573,163417773,83240400,419452707,178395479,736822092,646067341,946086910,955555578,242260081,861446984,527608239,363140684,31708986,648339024,260082691,968839562,126373007,164577916,653431754,132046215,941994021,702593737,448856551,362581690,713145821,929012986,551702166,263437201,817851613,233124971,625941827,314985820,364363080,986125842,957966219,488000348,610311944,962724305,856114899,640134825,678965186,105177491,961234823,519362578,575175437,17005455,729539819,381156882,728458331,89433920,92427682,965117299,307375788,827657249,989961358,813693656,950615781,184028439,888844964,910021049,106953268,176801172,399026806,286058083,939555037,931388613,922370352,213004839,931617624,772089882,170192073,857593210,439223651,652025933,66481435,876405731,4151809,773915370,285572597,631551603,127000907,724510495,885586533,803800306,839624643,708544496,366602313,659595704,301383874,530943457,699047760,215705712,416135145,758829186,921278196,82625709,795489764,738744414,68377609,544077841,316972553,425456303,471982164,471671679,240094710,825838861,107667078,100555506,950513526,15445381,401219764,639924783,564044679,176950632,239825490,822585836,584629026,910262626,425314965,928043059,30554177,368839451,883917379,308619568,577623229,22057351,305992653,830114833,350250997,948975351,23059666,731031102,772422744,289463241,946855570,287621226,972487952,870263909,476536675,606066330,815261863,713695365,161340506,519661090,51464691,611176860,193219867,724458632,928006593,685920743,357730337,687801920,466983418,433482581,440866050,199474823,145119222,703618700,549221351,365038362,736138080,610621897,184556643,109544286,407808218,700640221,932534929,598127245,50506281,284963042,553054801,349809154,146911966,397441806,808457099,804175425,901530442,977662625,195639614,326350474,80782081,429398938,60042889,882379786,978309420,409500006,805151207,498408053,974776742,224066811,261353655,681802012,355747270,157975526,907499773,827537261,27351677,81886443,168509412,591098663,91143832,339087277,704302850,762875918,477454323,439373427,739064552,345479929,601736726,440591130,696966640,518003836,887735214,567653050,380620730,598903407,982963302,784472768,226152073,808300929,105347778,227919922,607368944,865155800,447089239,272100648,163609195,33893511,938239039,105641708,241190311,530555194,954540847,20531209,798688349,172465357,389953147,134750204,975246142,468539556,718668074,877052911,771823438,297665804,607399622,395223881,513505749,535319277,311528659,910711820,518906657,806604258,214601345,750620695,103671337,70885243,671083061,458443279,426597097,606135019,734861977,322937501,965094288,295096051,989242053,436279985,173137805,752981335,161132238,895455750,67893908,727174769,502297125,27674351,926670067,815913274,105350952,82264927,258901901,241839301,204098860,933903085,760841352,212988080,55994035,862291191,902689151,847242195,5734324,407486278,377169027,694128111,455605243,47158401,85321277,867939997,520124139,357430354,949211241,979103029,434038145,290087031,640850303,874538746,288939607,162442570,941626621,936271723,694249081,588338570,925339357,578987077,860252554,372673889,923941383,644178638,559583277,828818933,798887626,19630434,618180336,358493660,580450664,129688430,447359203,963410375,244357058,139031669,453141732,864249762,807588272,417610410,431009129,186134864,953320204,467843198,410159498,431349590,940868430,147443459,465142619,258479198,439810188,883095478,899255705,860423864,392578417,860201054,64872247,42486601,546168376,885495093,781238354,197176140,817146792,343887223,270293279,834476232,715914486,351611498,380546119,336003286,296624241,2566714,60124712,404407247,117907604,798042205,137855485,17170262,576611637,231525651,341080939,150621665,466088230,224943824,207226820,743651954,427122092,815529447,939485333,46120500,975120323,719880192,337465508,986398338,581305405,541628405,124001352,398636064,473002458,84292607,564251894,367094425,314707343,448347810,58354442,634084042,497938861,25957733,900590575,259869371,905027868,499087127,175908206,897741518,885585653,185807524,95669485,145262771,122124966,936703596,185879020,296209606,247157464,338548461,619394431,311689380,561498505,639473230,473351282,259889704,241274937,250127947,350293005,540763304,425785303,981576255,793350754,928277866,196477698,911075979,620918047,932500108,623033257,516939501,890922568,566292553,455878680,318452481,180566550,32089212,553619129,955406811,232375246,52420501,241702942,396245062,904420966,671891103,361457942,615250532,210356100,627168518,510082334,150926564,276599771,147321446,558181697,35744343,546931577,693637827,965973088,898227234,943476883,559395677,53569784,314882472,114682964,633713602,310501361,193811544,594823059,223523780,764782993,884906133,671678011,106305238,113036083,266266529,671138281,496677079,38353992,817834925,897560719,553884975,742670441,262302764,168411890,245762926,540495844,93921331,773011071,61217213,351432781,114896038,530269675,143751758,257819862,431983459,191755684,644648568,350257172,121974000,462520981,649619966,997557930,255367387,299235356,659354670,642055273,51221043,307052989,81969782,332702630,427815197,912370363,987291946,965145934,75902371,635941275,131548611,811688714,781209336,524058816,272195831,375213155,376026192,393272550,873998263,574638417,91431605,792268784,210141176,174921821,964949184,151230475,344775484,84309935,60872491,844427712,31868679,833086874,167658221,834886812,628415840,317054670,860804132,671143580,106836748,807129533,678409579,412135036,756907980,203426460,411033710,473050847,285012916,20264500,752605311,154461777,556217686,892561970,33617493,11090123,839336238,631513075,633699889,73590133,218545835,982961791,812081633,961688897,811453225,402400859,973046473,56132813,54232922,833254626,333270102,997027807,460547367,128125547,143584932,952598888,445902039,428037064,622257895,607371635,973626683,414039374,568293498,23387120,59157078,950966319,154532539,967990688,256771200,117494629,426877926,877058767,686809356,108905567,705432698,972517599,5270996,510926180,504870938,273427679,921014108,396985051,571667646,699368016,33532848,174548745,825443607,735464066,809914687,14934135,777449575,100408495,749220908,315002411,768485795,342472390,641864151,431465217,661082676,637230044,289397696,925200487,428062887,974463570,361844463,829096432,119530045,226527049,478685877,27335131,101875924,260780163,204862891,767819459,58834123,658800178,961007694,94917624,676020709,418883298,852474348,321350403,657842892,471801265,831664406,247742270,955489928,927010753,307289728,711969523,221819789,591082624,66489478,596877802,304738088,995400532,278405993,827974811,33808812,608530945,501484895,643574467,49784961,898705604,776474727,291371685,319946487,191980198,620102450,894552860,330951854,673125016,856024353,620028956,228181178,222999326,86365185,795566916,380893136,200172436,527725564,999446906,671786401,617240022,522914936,595618515,2377179,713860557,162067420,984999357,332253225,734887117,140211286,766094569,141023619,238852034,870028298,863868983,873845290,297117645,135734091,564713047,611880535,781291438,721776804,748910083,944221918,582281310,525144137,191665411,826438441,579824856,853357976,296668117,777506569,185868247,160068047,968203631,55979660,645378386,82841701,473322009,415076516,658832565,416927762,340465534,545574470,760628918,372717547,767678386,954133897,112689346,516969288,96201420,893026650,722808085,710209825,503913114,919695537,473711096,585149629,599438231,607203514,168259364,162164976,768975780,468352159,928725004,821600907,49430914,180043516,13244561,100312512,561416450,61169736,631722015,52911406,419735938,514517672,752211044,428906788,224630057,993207600,530433988,284359055,634052239,257703792,934804092,898862698,246747418,787135740,264510677,426273432,825477179,65542105,633669483,519849379,456066156,160301149,919596716,108467428,232295738,394049816,528086680,772974283,929497438,401888349,627455832,289312524,391102849,331784605,786911952,619199061,575234327,598284810,126190201,826287156,136632457,46941682,165917915,79451986,803843792,933414053,821004427,968494227,734138028,910091527,996834305,714753434,353890784,943868192,963277463,291019294,604484329,787641555,377194622,108268318,47145894,492205845,984106979,166611222,470385816,269535614,674921721,605456485,275780304,992293404,546713982,598396077,937508704,286448591,838625149,699573137,862811947,526922443,27251769,847873229,918729407,371360577,911928866,929056823,849921002,978168154,818366717,999760855,383259510,705163819,180448100,416834211,18053606,916064290,348905453,674629846,651340100,127020457,761569283,723557015,156274627,516286006,645216793,973096054,861195377,846105633,695956460,429978134,916719962,989849218,788417847,83373252,289743496,883747108,625327506,242864545,338443287,301125552,795464189,999538822,795727733,802035225,391477993,478870872,797478215,546475995,812673634,650347821,688715824,395767161,820128156,555287848,849065976,831436407,143822602,641984840,772334219,753378747,115329086,490594183,3866816,756927618,117975398,208563173,376965664,931454961,193548117,962376940,85716545,441038848,91715964,155742797,252507746,150504672,958655793,764582482,594192924,954954301,985670071,179690263,912457272,463933579,847563860,311032728,104480524,521868833,427736807,363711800,49504140,818744784,850162462,178601271,780623515,287294986,318120543,632837717,319404926,256346757,632683442,636136244,660969965,189287537,877709551,23971903,457527663,871915703,673682885,623840303,223267949,351980883,262029334,357551163,768529339,39897554,348977903,936044114,856952592,219653342,684924316,968245783,65971285,689287881,37379013,397592224,609315024,156738086,819139924,740556143,716722658,647724882,737505979,634965601,818594448,141098648,621848521,549361261,808602626,700170772,45494994,922051691,214588198,1207175,183412268,832821107,15566627,603576055,981587660,237974863,781032253,632565224,358257294,872671467,4732699,720366406,680249833,234304289,909116448,926986870,43508566,960475039,6618370,649969199,252236357,705628018,237578733,713941475,649333345,591465120,557009814,117269814,361095779,389976269,433640934,72825156,330572845,140550806,127388890,383365084,541377031,53267365,246988991,843668754,37437213,673931943,719174911,923227152,104984216,627764762,26174087,237354551,381361256,253114536,836790412,427221140,579137846,105553114,393439039,11755838,824630644,713833443,273525816,213092609,394439667,962406346,50538109,738576505,451702680,402573509,859584149,482402133,78797992,90161172,559118707,997569871,536933061,221608795,274719736,195748563,564351063,667905973,676270441,719278038,660836010,769541730,904019596,626947657,904272398,535259471,359011044,260084721,623924729,944691448,439824276,465486292,26732858,952341656,421061862,955672787,879168080,689990437,446155536,552881746,224936523,968887261,102593717,799120241,648277599,752102014,464757969,969672124,244196761,477349655,625520240,660611936,597056538,770529278,435998007,513832673,560674823,847558353,4947584,693235921,961433609,428307930,669869315,208005139,616726726,783856851,139813198,406594855,954066242,683851476,962394236,338950972,905772428,628187660,406960327,53388860,689899276,812258970,848990670,63724121,399172680,353616029,70940854,332032359,489135827,666273900,634025338,41146902,966613581,723565441,682872329,633734213,575795925,148545626,413978292,922701902,239008672,837835118,205738248,807689160,407699210,172866539,903194796,54198271,411780110,461488247,183827147,878487376,807955327,934019949,894051063,153471799,591593097,514109595,834471408,759385361,504418916,824068196,478248500,373407148,610747160,388788564,972510933,823684226,589811930,651030498,181963391,965997384,746225049,895796268,617112155,44253979,324470018,514227500,7864302,731129196,939372599,897043553,975603680,596898481,729775332,917373017,397615785,26815235,179233900,57262037,700157820,610918501,861454632,525986250,731723212,651079262,952188682,787813549,370030449,422907912,195761391,38879888,824143558,56218488,68251711,801659670,801784480,999512938,751373792,360081055,181771617,25277191,648470738,631419401,95041700,302890426,224550341,120155085,30840434,395743488,497890881,101658019,394572579,259826404,932692290,717933302,605016484,601426732,658736116,88829625,726696493,691807535,371722208,433202495,624396456,771188146,284701456,700357232,916259370,942866865,806629428,954972266,752408308,235337489,194242534,136252709,814256159,423192980,638645885,558194367,255952258,356365221,436313473,382360334,622449974,91676908,945212732,247300108,392682534,80627533,616996492,913326655,107938295,743155156,515130761,77809785,871572922,400271063,599999742,968426173,487364405,882703450,226958451,336087451,436595239,468558662,956127568,565850546,825522717,436170145,787454301,36874946,998697886,925219546,74653148,583166093,513744330,898561962,487741958,427579201,934264679,640896501,670546506,212924157,547463019,246355623,835353791,568045093,304387102,200052484,148853302,980820609,934953215,771101087,35167987,855075742,365284255,983076031,868807985,369551005,501907142,749571777,40521132,189169655,922785908,617190509,884284209,588402879,209669491,198524640,121559662,864373136,636638421,30512733,778609583,924585868,318253317,724598657,446906269,493149285,965363342,664606174,164673459,80424511,942218416,395425620,682230879,65251546,835311400,212429444,310172839,35445077,174852697,246707530,164945124,892668468,377423052,209777489,205322668,756750927,594688432,587208595,139605493,748448721,485348038,920372412,191123866,75256149,165598545,881107473,487998043,230401296,75630688,301125815,360817863,9661318,969745295,407456989,257376691,690660950,681970426,149443876,597632031,634315784,427034449,526008026,830854027,541717768,647972257,557005501,904711865,65143136,587646957,788742182,854461208,333956035,315967676,437567091,499439812,643840428,297174481,440272714,636510124,190250022,574458290,493479689,104637812,461512625,37129397,6028156,368816976,631071910,936626669,835738849,662364278,854695704,696176195,977985188,340456947,433355029,778826416,638063389,482771125,998752777,972997935,151802131,663306804,218552494,921328485,820674399,445813203,771617768,414413743,478847723,776242984,985767408,540705318,191843532,952773790,509500937,241143118,38102342,129254953,201491848,182249585,754939230,935774395,656132100,515474560,90364004,309658457,578269361,605431674,898300472,950256266,287668356,121069584,176924909,812118035,513137738,16303976,940919245,873201899,92217061,687532355,463661264,886187509,896897466,64844394,565733764,28513649,898964771,74059362,512267072,245469087,694138693,826373591,684096351,532038809,725245025,74301497,280905977,834827628,388227964,100666200,388673315,528473001,801966808,68433018,555782035,965348929,469078078,24443634,397606845,674128782,498327486,444916199,441343076,895468497,300080802,960240867,373610880,560241538,848236161,673961121,185853276,588874153,657038493,844343630,2480167,585431126,944690393,145157699,160544834,607702334,144139106,700401754,868340912,55392083,180060199,308981141,618354553,247612775,341227084,21889755,476925288,140807619,444855041,848210083,320168872,743204087,866752897,558004290,912523124,307491192,273868373,900985301,945761991,84084164,647084043,944609991,402563404,7409146,272625476,939566637,351968239,587101764,74943514,660717862,475498949,415106664,864708774,66410847,754941575,693235817,239551758,244585705,342377475,765517029,244757598,354281720,981049074,231184444,524880786,97932670,503958229,116314684,684947776,244086664,611485091,33746522,363578446,190341075,323231507,39230888,701446566,446487677,947677430,154793986,768090685,481684294,256554968,620622603,5781572,849322375,483771366,604529220,653935096,947645938,3056223,650624451,689870538,225082076,297924363,220812199,909884911,372967915,972517259,238740473,850946169,852002780,734494956,624785756,933426680,865901368,928267683,829489658,661403662,729099795,820743106,308359490,880276370,442416115,930067183,670390954,14121003,183286612,901154192,565654333,77615201,953432653,376912547,469506294,32333582,628868171,504787918,873819778,756208401,444313594,457127113,356654268,46100635,760381055,107430121,824007657,437985269,321820914,720064804,87269430,942705591,109702648,116916096,832338244,511255923,575628916,456610254,248238183,837864258,482017241,857457182,479079094,128930238,801216297,619505644,701100877,219773017,988396634,156336043,190594824,579143048,786822109,450307525,682880378,102791559,935283776,528482280,322661924,343941727,910207393,739009469,682424545,838947490,784726716,122783124,524244237,312771085,185621426,694971037,240863863,437099971,487335599,568734049,280154858,74136308,209218288,182527611,609175881,70898926,398786729,923015696,432225148,925743726,522512902,624120921,894885556,30083964,745798546,4914983,140750008,643647839,710176892,78046433,528831729,9827353,374852506,98765219,177400801,604595751,902856139,519313344,252154770,721827647,588308984,863889284,37418918,723655282,515992254,487587902,832395319,69480212,986723240,25446161,982218425,397621113,363413344,726793462,574569503,750747195,520894994,259526135,721863832,839121116,323677176,456307422,127185657,288380958,445660533,327255313,598457088,386187277,149000515,847005477,959874260,536040611,542095317,765482806,200643926,299614478,898144547,838371801,941417611,805333261,804891675,895613438,397295052,834620167,451145525,617548117,268313777,91646986,618543566,278416236,539879857,201773403,817062584,43979556,107182814,460502347,205293786,570472346,741054920,942238881,56682444,311100478,578991951,928694460,643874122,640143286,845584762,613658672,758148656,706680141,476062881,127436242,925548909,315049030,875256450,408667041,318813553,586242290,902403805,868374884,164174600,226485674,850711313,464317274,219502684,490318272,881915564,241747867,63701721,406680366,129215011,468895363,287494294,946636984,21050146,60969747,550733458,842849691,324242499,596912193,781749454,424434579,178692299,41004495,674634595,522286251,57284252,568503594,370045035,123406048,762060536,280010007,202381549,74496337,67868807,300433998,441124267,603178976,117411491,346371312,135865042,773735568,962196071,698786137,324178251,982893120,859072225,889464000,561487562,57249630,118416359,517442560,574244156,535003954,681828617,499088152,829089612,847601707,731578008,649948469,173447065,709119971,796908421,343090023,80736940,717322927,938418371,240652168,820221135,114977330,440943823,266861999,183565408,291254884,964942477,873150888,84993111,685088032,393777548,550900502,814429509,416094659,148066771,940291909,155502901,694307839,199423322,816664625,412356991,937117171,275822685,349227227,488496724,907609660,251857119,252432108,85834635,299716405,751263379,129032533,977858696,164143272,944530985,367704191,950471232,561885976,590034771,957665940,276341469,984743161,883569545,922257260,436537005,88453223,267487071,813864675,486514815,984378401,650318652,879919622,350888252,362667384,672753035,619706288,587470884,777920127,35489176,114275354,934279301,590479505,446899825,287350783,741461454,781631723,167893318,743221274,19905201,900560752,891458656,902815500,220052673,559740574,943200464,73496681,881438704,532888905,157853392,181372819,62712023,888291996,46142742,838887694,453094925,987731732,901442193,942551074,14708937,693715975,599148692,902463761,954645400,488605043,840740407,906431585,57035546,944142827,658390331,973000137,484657738,602318045,174683528,821470866,666060025,213223373,702553254,374763623,70925328,462735975,4963777,393271322,33126199,175304468,784112547,653297880,101946138,604505608,763134235,121476732,291760134,99933519,470390410,385678615,414740250,582566278,908953411,809175105,993170623,716432181,529445977,474074487,951128290,669483238,660975828,934764,521790961,799582352,319706284,603501529,20971879,587852367,4647391,91558411,400145715,209310146,590326708,239301226,984567849,988646156,749131566,786090598,716647975,883415758,437647506,289455108,869099655,999389673,826147277,706399713,915240234,75100787,971326337,952019079,416150118,688510843,927119757,586260822,259266884,717962809,380194,109645369,886433956,641107360,839421904,516365416,113583376,985757471,340558356,486099838,942243326,543138066,9681700,452752238,216763802,394438469,594669426,671698464,777471299,956246584,822217430,748674864,420655829,647762634,948848938,439557848,409758667,551719063,393401735,497154005,971413360,10557683,695318102,614349571,891404031,44685567,627303470,886016060,366234776,173158491,451880355,522587020,153416109,366230689,42670862,609151337,468760139,9713798,95285851,870835162,437214056,615722391,370675022,682115251,18874212,505322959,624290943,469611322,528990801,804916708,671689075,306923636,363348618,652921476,842603530,941782105,835773798,941256054,857560835,975022510,313734699,514068700,607447705,863621152,845502734,900274358,55533445,522348910,921047808,603994503,536247285,674708907,572513695,353944596,865348045,673528916,155351017,189817410,977733505,559027268,869436500,563152336,102797034,538876163,116771134,607973650,104284662,520102360,734840276,581836419,926307392,797564685,596498449,410502027,106543286,734839042,38286107,126433475,885677202,528165406,909458851,745930957,801474807,869048610,401583996,411784681,413089678,90135217,462376035,554361729,545653740,976497606,125768206,260077051,631436559,4255713,114013991,71790325,64693169,917321588,782241657,465142061,713925770,143951767,78606601,572799935,478986421,296773156,455941631,746018558,36184207,400143913,584834541,250644101,331064754,963541663,777664141,674516108,593926417,579953178,270193848,837637437,816704663,179325218,963418067,37390240,282376946,673492893,456319100,819078306,160604707,799794633,782675304,188898596,505237529,514339591,362343983,570986924,769635288,253783184,384809138,509249171,353275101,843335284,753499370,239022196,96789623,102658832,762291499,729366620,852725217,186026388,905257127,516468109,531795733,637865091,548205127,124917846,392697266,266808452,298922740,140994807,26289693,896246548,386701882,154511906,824477495,403024478,697119392,610453794,320892936,342943112,240640213,843645975,933079921,316376429,383330094,972591519,575846044,860006247,489374186,229435402,299138462,697543234,176585257,564024825,134148676,649977751,99237092,963514428,366660178,308918349,429367231,413131748,351623239,412145604,62901370,60629614,296801846,892187863,231511621,331919374,797818955,817466610,973242761,313016255,15083681,208522392,902869917,674390433,318046321,378094528,269509893,661458627,851518644,996914007,333077758,416802588,84963490,286514519,31519047,417853246,824049685,266523000,917602453,577186800,258636910,777716422,906591023,688262327,641151842,610471466,136195464,739350512,756156376,793904676,962858006,157907228,13846592,452036667,751835294,191689501,840349703,596773783,672022149,121454966,519345548,226209036,932405741,828865447,134222604,924442604,213348592,201120066,196916968,462877264,903933621,927688394,634840956,934925974,274062903,883273363,499224725,929511940,232882108,892671121,987073827,383805138,957811226,460942576,177874871,448191102,843537103,839776824,548238253,381297159,813141667,682459961,107956482,305809004,878190334,957466759,771702292,892324788,83761116,979989717,858558342,12324619,584713961,632603432,793103119,818382417,911518576,573204907,518308168,585232060,629786127,167729863,35663000,783543597,373841326,612253794,271258180,959649529,918076882,76761830,100087304,869145763,940923630,383083983,554079323,308897912,162766157,468630272,477367283,681394469,647612580,734275699,328886945,558843319,235877977,955091666,569665948,159391056,174211264,229782060,27248555,794629141,949167498,917712653,285051763,227365684,169919545,67424834,199765942,991531232,767072611,931804676,146580901,829650770,423005406,128087048,323460565,29972556,843882118,887100917,117373248,401938920,270583421,294264399,392411707,139707496,728395103,264369435,323131495,260398833,993857929,297649320,469426442,651775118,343251262,853899095,355949795,278161625,422610536,772702500,54860979,240881252,38302286,331563411,961005333,633361220,805832562,453392808,564601339,983108230,806809648,166134666,842703047,626500683,494130618,909672854,172894387,223968095,315976111,219639208,104802260,638272872,97307735,614818366,388482436,427882619,316331429,279162665,68974461,814868406,735844964,502646216,402971636,352033806,713758100,817558798,399537930,256053203,550443126,215434418,873880435,149774910,646716515,516582746,118423161,928013081,655259572,192166919,761899800,625584209,790269049,898107678,355261320,151017956,927183660,901046989,978125493,699665128,506121159,940067840,329307444,484709189,179078036,367539878,196912629,598191365,650968175,507455546,140662363,317944938,860691378,667804426,118983643,694871405,756790655,339504637,191411358,684972275,805076591,72954868,954324318,444926076,612635024,80472025,165838897,110288979,607855292,765549807,705723348,293708374,601713690,752720479,722780511,451171514,760135362,506773487,511147268,904944281,50265339,109021529,4267929,578041343,666060082,834698382,951796527,794400567,211340585,473879013,578093871,426855378,655888390,765773157,423335472,536784717,785431551,590665872,689589066,826454684,903398157,575670300,662842376,340449422,464776110,777864185,536762891,893089860,467974665,802030318,952092388,52364860,673661390,186820208,785864861,729537468,817344929,897462045,300583856,256301628,654014091,364647211,107568830,264616052,836594567,377392976,69716454,735663285,628502636,245416092,987627180,75877844,836608087,148890969,466402640,184824552,161896476,380077987,738116693,925632885,989602071,257997609,939828880,253287524,959838798,110731292,34345880,185899651,954248550,863393011,282286369,207447318,837122152,586802655,340496603,102479075,826635185,825281817,650698092,33438612,12950803,562501837,95872077,447346827,384222998,914984976,629634895,737509610,623434359,521877612,544115447,409638843,571303277,908284728,625212919,777663797,261398798,132267048,134186971,651437285,501901760,805973067,233503060,98848505,486180288,836815994,479038499,332036327,854056013,409256242,602157300,335614059,52619776,848193246,604645290,520063535,351728791,76632589,211890222,906157746,924511775,107446708,159973930,820489916,231817059,601301516,440560157,12933268,669132670,808373610,824890609,236442215,20632954,443156108,44295285,203761471,468886899,972075431,301578469,856113551,879360048,459737209,750956022,552423090,449821356,601667332,460643414,240050034,940790192,377402125,450829162,716880651,124856574,828419438,417615779,895166265,348247944,593636929,101763891,280498599,242198648,426199413,368740667,317882355,976732846,591651874,286155702,281600154,55163115,393734114,268209051,934561909,623396324,16024633,225243403,371860202,284531835,380023600,403365318,68510897,297670185,308351529,476249297,895546457,556620130,791123657,159873121,200766959,511763872,522614366,17855435,769557196,272261992,854397103,244616186,935456379,42497208,899213379,313032796,552184006,866951889,902324592,230805713,592420377,120134695,759794998,342567821,741666931,732115005,164041702,220861529,519368132,633132168,827106602,270850742,61171375,988732049,179100796,4116131,737206092,806677693,547901929,446283571,705743409,126827665,941666643,270061621,758050818,338636704,584054820,173499400,679959085,794822335,504839491,101993911,712997236,54022831,356154960,639216695,827723394,906862441,448645233,248173559,830456851,43732023,527020999,99396276,568932629,931437159,435045081,200448241,170900820,31550315,347148923,586320307,759055177,663458515,238620462,634476728,561748719,743604791,761189356,494322720,777109720,306584257,595176244,909819988,961858955,447951857,472902925,373303117,62459921,801078357,534818861,566041820,836457142,115282334,200597818,102503136,64190551,840102170,507313202,391873976,550278521,106582782,835356033,27094824,971043462,511336849,502736477,603985111,563172451,574779458,455220906,488767983,587019108,968645153,635835414,881790154,671198453,797906853,215629244,918612364,727968806,438823214,42142929,780152617,639350136,101995894,398590460,475663585,824791263,657178983,135528029,279498641,660433376,870857251,774853172,977739928,310386265,148840556,349581905,849222426,173199358,626470090,246250023,853882092,523811058,616608936,495959373,798981276,90332676,883235787,403264837,581738883,769665944,727371298,537907107,768491552,752515650,233036088,911944660,99981895,41450036,177399482,301801618,854393684,934005902,957474632,508397381,612284548,348583540,651475609,55024198,253751100,545903471,131147411,471544796,720661855,178624167,774345914,424752084,791510751,634461842,39584525,245819012,97869673,171969118,300823256,804693513,89783357,173472196,738343478,493500133,357318864,971319427,988457794,565314232,948141068,329518695,44448860,481853254,924040126,925020206,505088956,221730999,328120468,767091432,806460938,69577281,45516403,14373613,8646318,656633629,642741126,129039404,514163459,480839984,835886102,523609674,714052681,364704966,799203845,17978030,25935293,777726980,207218216,336260304,253346013,323353766,218349471,718104495,593713853,88495678,549103385,474582696,424785846,792395498,279166132,946156444,505834506,800482914,396683495,841978742,119680208,428740148,292973238,55281897,271197487,318292491,583571859,633693597,816216556,302547419,430050107,945571352,751637669,466472072,503772768,964583777,932580679,191315269,256700926,316742748,885467729,604433566,473810862,327115194,394125865,789943308,978761074,978630944,404934949,681849049,410066015,292161928,335403467,720125188,304386924,443506291,938601180,662002257,879055663,907479831,183027987,363467528,860809152,911079402,771687594,685286992,638222487,790109622,4853430,69124975,408048088,371813737,107931039,461700838,674334374,406202640,913571569,280851934,257820760,674020524,533667161,257210687,891722501,176277590,565719126,955447338,505239267,835627754,3906038,906504647,959214439,905993577,117496797,356705577,413128754,567644214,396003573,28244,218271991,142710070,33012061,702230754,304521700,529303569,267336793,268385732,805257061,535257034,527007280,241196995,68766400,854532469,68470673,985697767,19685662,995204332,920535616,589783340,93075080,488358133,81080741,69871556,124586277,564908852,651407181,779670132,359191792,562398944,173737333,328658137,456742637,60692810,966077745,593592970,521157046,196414849,665860347,315517934,898675595,348074581,149698369,195790409,2782647,774829277,391730618,307588143,827863219,558016826,137369112,828384337,615086152,748536570,693716847,311401976,768308743,370689494,486979285,349271534,476551299,552911081,487882570,550691372,828234176,116663976,247611953,142638662,321303569,497615768,135282842,475910355,758003902,522009435,248539714,803610662,454617137,497696447,152133005,123245609,920403696,554492744,799622979,348653403,22324013,866606414,568598040,280229000,346339736,228609493,972242399,531356648,433706771,342108644,746974285,700105442,625504496,853752434,52844995,183991145,495669693,434889799,987509580,363660962,454550091,287331365,140594500,441003799,354613915,767687746,109051469,93625101,649090790,395707268,514486382,420958355,208905031,788948443,793401454,848280977,188656495,832146816,946141126,771205804,992244567,330197294,842103289,489089040,684322339,223646171,140864782,515566405,208626336,10244747,542045352,575748788,136828945,969214219,365758634,507883341,35393056,112057917,540202328,557945483,961684434,14957837,422388736,383256063,330583070,993815066,482867614,692583121,21201994,938511471,747730065,746426309,156314028,574649662,971474352,773835223,820596839,131539172,70534909,386305608,246383468,469524275,967507870,445523506,529431823,225653792,502677538,187046411,907807775,22868511,118241441,355448411,987684315,803241387,4722750,136524734,58027273,139563084,161923827,602923401,2079035,20327479,407720917,709010916,598660990,911869444,823752003,301181110,88351652,883439663,469907099,386066389,548625868,252585316,334093271,30844916,793996095,983045835,585724984,287730,163279379,223557408,518227493,308831002,800744514,266959816,557610561,219319622,520496859,804234974,905325615,797787841,660477827,544798023,978585350,514661096,746711587,991402267,6100414,935321909,614074675,679640880,575175107,640805405,1440207,869422700,606398154,844716013,320098844,985435831,193409833,122812626,858675525,183811430,608468523,326981665,535100691,752314225,459522734,755751256,665899668,240678510,868233002,121326822,449978351,514103113,685632689,173564918,424912831,433576276,505400018,442373795,837046061,922391663,306700500,605122326,839145405,462015266,928774884,328937725,383304671,904168335,276936045,908575504,128144999,235005557,594551408,922731277,508412759,578029486,331482028,190471622,292648527,978599240,823068601,47178580,479820547,461357545,829092408,392967123,710219841,928368712,549275288,658721641,139106428,770300849,916191638,875379877,777192028,646421179,528131343,409790783,506866585,234527887,340719189,165268317,237926987,401677737,117403894,131078477,563125250,486471620,772281869,973153919,393217439,613514866,57213597,180438995,866558332,463059033,284124597,436251671,445174744,994760777,317058483,625832068,393377353,371950179,721551834,320393347,366486621,993750454,360966567,891922189,795824010,85074362,250574113,611935889,937814118,549050659,361835285,847353414,164115521,819573783,48784824,992570847,508803973,526796332,567485451,672287748,650909253,533376651,142728223,349238301,480320100,444903303,190742081,913313485,354391188,145175425,786923183,326337595,382447673,19636381,247966063,324880100,283860698,81734442,854860153,888521264,484438076,302127338,437006473,683896936,429664571,210394428,755239313,329042276,601043750,537987397,517374778,331649578,997282503,635250115,840098893,754126514,470254024,50277060,623968149,362622883,622338494,696362928,751120852,841797941,318586874,211424892,260689410,964080219,727049021,146013990,123515515,519527441,797989813,450012590,57946585,614840084,327281862,353525679,268674394,867212291,252555578,956043514,713118107,670318186,522179156,289415195,831067703,146587072,567234676,613162147,788690466,440769750,58951686,785426981,750990277,869802778,219982102,962492189,358235725,30260262,126507282,697264269,114411850,216273950,916127622,811211183,118555323,915653673,785686415,737932809,39377865,89806192,842560895,448637960,552231367,355611835,530547700,613920949,580601350,448537480,864934990,924624121,251283098,147729722,151359298,196536761,122121659,463678322,349281863,18479376,450980010,363808521,704567963,351088017,367700701,491177640,202432217,726329593,394508207,339924880,33558962,162084888,52328072,711595278,514100643,190580410,863398261,809765267,54681000,315630705,400448324,673793450,144678162,250216550,816021880,450403846,8558980,713812696,77959169,745347446,895885472,127986015,959593465,843461576,58439061,676448489,717351426,555127174,412755048,284811141,129401350,840565739,682902224,948412964,374567192,122749865,472582897,866456554,761381388,273014484,837520851,587283890,515381668,793398401,496734824,217382148,420790990,894438793,631224260,248162243,999883202,513474091,608652265,192671988,969819837,100800834,187821261,912825859,158233805,754947483,997371305,768936496,986980757,404663899,173463995,116210435,856523778,432996029,385250055,643364997,942368085,713830890,23652549,908358637,912921536,191906754,975367496,389955866,435879617,630290560,323048229,7779687,321267335,340284972,574280143,723783013,265077614,131308542,776928377,174390374,555874413,660716368,313296796,52266827,11533117,384307356,519672559,808124832,915889716,902234797,405088763,120245661,429615586,702736212,281812473,807732777,561007175,670614991,332303930,792711329,848928529,506503142,757023287,647946087,327581343,904798386,454573600,481789308,729740694,292617488,530421398,561675056,652715752,787453268,673909034,632072954,50250737,13626792,77869609,537528870,435585195,876276468,426036206,340707008,443212348,356927578,305429367,195679919,248876033,118155183,3113845,853245268,599248801,621707337,481463969,713740078,744798626,897538990,110695246,788009648,643951371,298047455,48423719,789674857,545785806,165025115,632462636,624477185,465841467,577857953,684617055,454273994,22184752,375963911,406192965,570669846,742227781,889445596,137106323,91934029,914511895,316256580,952728290,726208569,703859842,289057929,250954584,966749852,982067284,284476736,877453769,594973069,769534647,580968175,472121323,88559169,685864350,894084740,372521778,188794362,119142774,240965582,101421851,762855831,732555575,957728970,87347321,486133591,159142458,269899297,600175608,445557249,248025402,526270961,455991738,584859308,352535638,700236161,719159801,539439026,670286911,582353995,392518643,717371262,164436710,49434987,418824103,548998260,803319833,110883865,511369278,950434445,100263830,806853177,414946763,556358212,734247131,740748283,156564542,515110770,747218318,1498061,832323021,165357278,658103568,528013715,904487704,531236999,558819306,924144275,633535182,886580669,806626475,536733832,749423036,13535337,161633875,159540176,712661279,678570346,819309982,68606159,573578914,755386514,35465819,95187969,416617081,896674972,552598607,665036588,800713433,287180480,805138033,677570945,75594626,639314355,264575503,371197958,71409054,651003750,467982745,438520534,905252806,422058740,282297771,256013323,22454071,320578501,75399992,23606343,653283846,789868548,272154554,352528964,92016600,701710321,410079702,329245332,134959636,551492296,780747424,414999245,689838118,866203472,359856794,162380489,745917491,842322032,740988448,211613619,732508142,796854200,593722846,341121003,398363281,686505113,465301558,202995017,431163600,403009791,415627199,905334843,923179341,232502610,863507052,371507292,179828881,701895675,324581463,170635190,525567420,175769921,617973037,468789557,445223705,56046503,216621542,679212607,402705893,721632394,544271024,346286019,54589283,391551333,691509458,64040800,640533053,599980940,77650814,769057939,994864110,11888892,113710300,270036226,633898476,603399897,605417984,251008482,420406922,131115864,372774432,874151751,943203773,705766076,167231839,866606174,197951730,408121373,838437913,51490614,690686263,735117657,784206944,819391929,557416004,983348479,893227330,885857478,386937417,803774889,834631994,702799210,565252625,309888900,871358877,203832688,583462528,48840810,311339361,187758242,451995885,4069907,528188759,350912339,488189119,103449878,377318914,288177913,605711655,875572048,975352038,984780334,532409084,284263443,59004274,853584436,847466105,587068144,864856108,424388507,162880645,820349109,409579507,1064265,728122388,664803758,54171052,597457446,84892094,307657964,288911258,456607,71603433,195484615,150291408,368930716,369411451,96285010,959203857,919534004,498183021,175223597,700400368,328362745,140659531,367871584,8384960,207264759,808707870,794657371,245204439,180151216,606798864,947082059,647779055,279761945,19803485,758153088,407228056,336112906,827522211,359190975,994229204,421283047,60237334,171970781,925119727,390545327,341955282,52574165,312475124,28548625,650090241,891343280,989917154,927551777,779552423,694511410,572049570,718544788,148494843,952415068,258521340,582460802,363671916,167412683,583977797,257904646,162074482,877823925,943964975,195820489,618710341,512335027,272101125,170468441,49540449,867441937,211064554,276589498,827160070,677412628,159334357,517167128,762136836,92631185,929099293,189611537,10162985,143048978,324992017,454611188,975733143,929419951,314829751,796312403,203993435,159325914,56414393,304814637,305629290,842600827,844599813,385435511,551711111,863900333,744811161,794895609,858786768,687033257,446788794,487235428,826923608,797164884,811407760,292255284,691835989,70879386,335455465,490915608,282110383,191297065,318348330,426658464,348328032,597350555,413199934,364581660,464496364,130584928,73118628,525825510,103978258,904314279,981335897,264697239,957858109,259215085,582466771,808976922,553297692,424561962,83429879,752857452,238766841,978943229,828774229,315690388,5236022,551643281,816549539,512594675,425046241,53734276,60643739,425132015,136112188,499601432,749145606,711034290,474117764,422654300,237212879,666325677,197086238,846541544,955729386,177142607,902229762,975424918,766369249,600735765,68794718,185587301,213601629,738363310,267876906,360306930,706311362,262572166,290791118,638795199,923537830,428878817,380349249,517184281,120375917,806992876,85416194,255247038,315775360,758011125,615052859,183686325,45286046,646542626,506309248,596333782,93907682,621617795,975600598,869977003,990613788,665118478,996096644,619269591,36703269,454033770,183041358,875586924,217306106,278000341,874634320,846739375,549272169,39076595,587630029,738256490,913152035,550116894,803621473,234756781,885579622,253033264,730718933,890503243,51664053,189938564,164453357,430349758,341082149,905123851,80427495,330473925,746672134,581346028,977738204,635895339,341523009,18672678,158888267,106705666,63649010,13177489,54972767,584223297,285110575,583389274,66481704,383356705,161459987,496600305,46694042,839794126,238573723,705282668,988622700,77126480,515265757,607007270,694136485,980020793,150831022,770288211,491285241,798498327,631091303,584910655,571335942,731767094,223213805,56088022,25770126,324137874,63295411,741746038,419266821,67460150,28229419,939439337,714601278,40139978,423823391,901059680,328475141,36156642,250355469,961392592,462781539,637526341,344090057,916185844,183651464,205203185,971455377,856497326,336744985,532478434,264367611,58501554,627539219,804777444,533167441,31060232,923285366,434848228,630289945,177904990,128450120,841430839,532471787,411500973,721534577,208813346,536558046,721336477,603161192,637504309,816564701,725041135,806251230,705205476,906549518,784519288,532090027,451176481,460674371,618563174,721609986,141878270,673052789,515791,968578291,402526783,851400985,252408899,661119348,935715814,925652386,794929695,300847380,637148471,251422959,917749400,669390697,84360616,881319400,137634208,430927155,544735213,796152862,988669447,587919995,19039231,397243616,619500214,374368041,212496618,785751657,504363999,783675468,58109062,456527245,176600067,464746788,539525636,974120502,2196361,37168794,211222428,29633955,972343608,750300475,647501541,489705113,144348236,120376446,909730108,983576844,42149344,680026507,95892552,449201742,867278203,500257547,4089930,795996936,465739826,364873000,21022783,938338517,98339645,548134514,862304392,556986970,667856343,699275815,559843375,562202156,826098030,345037321,412182719,889780449,767474432,352124925,615745022,51162617,887799392,783990394,286711663,585978631,585806699,208142555,558655100,88758698,116150230,924604672,528556035,682108618,725708053,883638524,645647220,593510485,263622806,686572808,279048222,447250688,87314483,189461519,332790448,772047053,406313632,620176865,228119742,981298268,797440753,881387846,614584531,802612738,267991741,37712361,395571909,339497244,694984929,696289863,126160646,749156066,22976806,663820969,950134578,636192158,959262446,197675564,738169283,378566175,948862079,569140734,758688332,742834992,481158719,547150064,134431771,856609477,402163950,126008897,107547931,818983519,333237909,32924730,606269395,311085079,19561707,6883491,125983504,643263502,202246112,929631867,990181199,198920103,67935200,456461929,661342053,255853086,648081906,167509990,345775625,293184169,444209811,604512507,262203682,452373123,942789896,708072607,626346892,885653408,801530006,139089867,121543754,420357235,73537338,375902339,57275413,674386702,46025213,889221796,857658248,586092052,564734638,668525806,364495279,852395155,305755518,304351531,832735978,877789895,202893935,144206341,696251467,319143973,102853250,708663464,860450204,921030329,493909114,755003043,108078960,948496441,672012318,226070809,353427011,121340810,374127294,384605081,298548862,580062999,810945908,113262655,663363470,225878331,921367243,14382517,819831429,294536905,588635511,168375448,9525521,753271367,610032231,560123896,763148844,684025792,77962271,918931505,355744878,831892855,648985177,803778091,210407200,929023297,547533179,412466417,768291780,606181811,402599451,412799900,997131631,251863070,429375386,554118372,833715861,188293390,941973115,896282530,57496181,121553842,375686988,999926415,17215707,315717889,216355359,920118252,407556569,131675287,426896629,64710279,652921475,900833498,13606274,471408115,50721889,843130099,141137647,615287599,40932991,897865276,376112091,687312966,245423264,749281933,843685580,97935135,639527844,430279392,708455214,591047669,302520341,709213837,694038547,224060837,655264550,301607836,212904604,3884052,861814789,4784592,231299353,440622191,407351114,10503698,86396702,23538578,889180678,918583294,95470673,19484927,417909621,355941292,24232175,631574633,479758383,557590902,793445162,37787728,922688287,549670192,633631310,48213020,71067311,702788498,330026801,413489396,683133832,827862696,98007386,903349596,322926898,933443395,769737275,400159902,595739964,499066962,567231962,150068115,784789477,370617650,693252060,183333408,939095699,972844611,167342180,714206655,886544898,1455556,589254699,58537120,438570954,11209084,475847982,142498685,73557718,627398589,206553537,687716355,847301650,473744101,843120033,19379489,280771805,448674169,95241233,513535958,454036505,327947380,880210638,460007530,546988618,123829201,18270041,452220294,541885669,944880199,428588781,120315669,471190856,786786593,856194551,348126778,380342816,164608961,730795284,930965006,845245064,904852214,893527134,906986326,523785804,222840149,783892429,888511422,486947195,585948881,390977015,912782937,882657496,641458511,2182664,994608713,226984087,481617826,452427783,464618708,549839623,485178568,251351929,344142183,155442059,488414439,231558947,618101703,689963756,521385637,864597551,617858218,631982323,159356308,274403415,86088631,454170895,362081195,450331481,595207497,981181397,705070274,224053613,286775240,315074568,648006741,6520361,158787631,290029351,366531835,77916290,470868415,95637030,786297872,563219913,32615573,884919680,654306789,893564745,318701647,314343125,566458328,482701992,472185696,705690178,908205419,11530383,977620946,819975038,557804403,725996256,904800633,548172214,422550610,887775374,395512,868684197,913220175,610441530,127583213,674563137,823678458,720028863,561596866,702101955,121394322,474314509,243588271,327927253,416242016,555175302,544113817,196775085,887742060,570082888,118598072,675768506,697768796,852765525,669424629,870156655,750529409,862262764,708976068,612876277,401992190,491308412,317277754,340993668,684649909,737992191,258029929,819323016,265402524,414693564,993744023,421324169,733086219,458622145,531021768,101345015,442225410,918298910,282042538,875955513,546239252,665661704,693790070,406507812,578512137,879105740,812103902,948277124,507889546,87264987,34800054,394635796,443115580,476044649,733390552,285800826,561371571,314194487,300048184,208464315,216763853,364794431,298030456,95218669,231207071,516112462,78804304,865634744,367957084,234827920,474867620,671238214,197911,412789466,696299030,25156169,5447143,338731591,375390139,572545564,531580307,565093887,13761282,435334146,740078367,389715368,48541695,215571355,232322593,912349142,738517144,20543258,350230235,940844497,590219154,643439487,283346058,134440434,187530867,304132303,83662444,524145582,46268430,159062440,612951754,141582956,679559249,73689098,591757601,301987971,902239766,140096873,252017356,238842671,591800410,666839758,685467358,819632954,601592692,771167431,801001765,81897725,605424387,329617460,889143001,881111552,30064110,456793820,975392461,353001409,943116148,701230963,616407467,766380498,587154729,247113623,974584233,687190427,153600806,781655452,130971586,619225130,652031049,661761192,948795414,845199039,138911245,210930409,738604077,717543997,413226667,945613147,350837174,934072425,529397044,647500284,795419666,274203168,62495707,312906335,658415691,77768248,492147859,250716728,120160654,621979850,360882249,93476096,840623839,811641377,708480933,666252336,102283979,87812208,114231555,540257313,744171945,490065820,625620072,506716954,737994685,357937987,99869724,147026068,336962923,236456743,311607542,560489322,991508028,605716349,140990420,407378104,213312586,82656624,189463739,5731979,140102324,431902365,56614957,294599981,541502951,861632250,311081915,645273935,171886367,690181795,784649683,375851590,252304302,380304859,52447602,73667891,527609408,210950139,791384022,39393756,230190173,769165344,782191266,642448806,833549710,782531703,374289096,83343495,93592022,916492590,42710083,816936587,786913724,197468671,963577124,106089943,769446930,348920124,689418796,364687425,891842141,670056239,255704990,465712365,510954833,317912881,588164607,241239926,256228942,363091051,117349979,106589229,959879510,607175617,750871820,681895565,351550441,987146293,887609297,282501485,898892874,185450283,99697056,30294797,136598652,537047867,550878310,339901619,477460868,10729790,394685146,726108357,943532504,929009556,502679933,869592965,637974769,548674695,719924496,613167090,818916069,245273461,283623624,248072197,656662180,745586841,584706763,731716309,313320833,913739400,487475296,227995422,79156108,652069794,3172073,965758713,919633694,751077945,580449469,241945912,637564013,760725186,563302955,109183201,298445679,713480683,950042190,361688964,297481825,250583620,937041551,624869484,758598598,697399595,1385588,805460725,306196234,419954557,36557777,329026922,40467033,176964037,802663755,15296884,957896499,400714248,216206125,249878971,131677032,72987513,347455256,213311662,30308431,680771237,916173334,53781588,547932843,22262943,263644108,96670307,704320194,163942363,858654998,334621594,918062814,84251369,9369413,19273284,871556009,459587124,263391412,767864360,631134034,73069113,325136605,346837401,762601072,660648328,352643281,750457680,292033786,881931661,753504161,214175086,91052730,886076345,577362205,842149426,637563289,325997338,671741851,170342510,544542286,501442092,152441070,79428150,688922994,716888822,420040656,88715784,842525203,871990951,444240926,682670752,846093540,545950739,412683135,439541776,4851908,950600058,530207868,419036588,36653749,463591779,973671187,921624113,932912577,682160478,851171297,201861393,129660461,38339418,243967220,691480732,890461712,977903067,827782698,357429804,805718637,797892456,332052539,497155475,234195235,340986004,897086314,452570302,215617717,112285923,387152042,668376141,538434571,87634957,171973752,338488519,370531032,429781396,618623738,535377288,244843111,521919083,7447394,334514969,108824143,783054035,245777708,667372913,638285106,252530952,654646527,663984502,857205351,859467863,23886735,165600923,83920770,406716563,711878910,827448676,444580221,324111205,880239244,450807840,277737905,20893920,151189533,531804197,577840878,256734677,342342598,401725842,856615115,654923124,360324440,282541394,664205132,144335924,671953863,316879067,200159232,762154536,519388119,682213778,205002054,97677542,16796509,698215181,77195979,470190262,815499275,313843106,205668302,845658570,723443721,945832678,727296173,371513148,461334404,717004840,100029103,624152712,455890673,897060547,442157290,803068423,109227984,689108929,477705957,400582127,889817038,999680862,874201937,516920021,358554849,575406928,661804907,992723925,392211939,155268499,531363776,331863300,643297813,260233764,232070007,255729173,622813264,352834344,370242479,643642,643660040,814818480,996425396,403995234,857454812,46666344,19524452,805948940,952132022,311048956,526071714,770815862,695587213,449125589,787475708,734082522,455641403,625139490,735204605,220539184,130074045,805806644,429483844,499516371,842408312,499637766,856063092,323933094,40487406,773610069,860899059,230175531,549526691,257940658,756051940,621160632,217437664,13775178,862088391,160700990,928036891,501778234,173606308,112484109,584967916,575138216,776935528,425751986,143279317,427359312,577342251,324032283,35482446,848424975,522258889,525009391,741428874,552132499,437335882,253389060,237601148,97590597,500823408,151714685,487768801,408489080,331860861,995435458,249887106,492665635,609098539,388666959,493833014,406459155,403207474,735913372,217891377,137371754,529956695,23004729,902311705,89196574,60599627,373542083,427288343,148549200,210212732,472007085,712452021,972060779,627571000,591984325,551780067,34464828,991232620,366971725,622709300,668622028,500625283,384917104,394013513,920899262,440731629,217838160,871869566,185156805,541026408,867420795,6620250,711649462,742522548,646115660,539204740,573538416,924798055,994665597,414773757,572111570,154909645,413314785,329315869,591865914,254116729,56676250,628665844,107387630,778249699,542685621,516878647,484105992,998041013,192711184,99460992,557352849,494861291,336966251,584300089,946080491,359877482,972906416,768483523,74293108,709894029,660015618,514256810,134588350,674146954,298526818,122889682,851486380,436397841,41537415,721956612,685157069,971467668,923922426,857365148,159527789,735423586,309475237,283276752,361449606,923872419,804072893,12703812,917624553,258859398,417007768,515926605,426611673,293191967,116757510,372424866,356599821,87802494,723876547,853946071,698048166,407514682,381346139,370148448,208860644,661972270,7631392,255375050,627543215,639909695,953910083,723914217,671932709,137095411,258020750,117282674,956834540,458802237,256413569,34218426,887315476,84579637,443096283,133835676,407074992,294381781,978005474,683160004,956086699,388277870,670806584,725666613,510941979,123288378,106437580,187898241,535899836,63837225,238681181,488358639,837266185,473745047,566331135,227938069,159446756,624867784,778505295,271745746,843044456,434901823,779570320,861385738,484933786,426269642,342902819,362223435,578998592,409247285,737617979,97927684,859137900,712375937,509775710,935219591,270807157,223523183,128541079,145995033,128679164,343098737,810411899,226760522,272469946,670666023,337984609,171962628,443043876,596234885,167380992,791325717,357548777,245978250,432603290,645531952,893757789,206829590,785225367,848089920,666000362,548118134,735182591,691479391,756163493,214493644,281639567,799388086,742784703,861699740,923527420,370382526,626243493,499012837,842969844,945654928,803306724,970146945,180473430,525461115,867098302,814334512,17950786,531283545,586952674,457828710,6303463,179573409,119180585,133545076,882779623,876922109,939992692,76367727,46392593,136748952,437952891,803326925,724603842,408884911,629181773,735422731,775936934,511686925,339432922,71980793,92337480,936459234,172596610,331125628,846052132,971661733,222513475,874646556,733211487,493533347,916661983,6234298,426953771,930437366,310069624,572772580,468658316,831326858,17807353,268832964,800766245,797680061,451947165,629552296,484098778,682233184,783032231,522497756,333201045,430030824,869674954,934405129,353695631,408523480,42120626,850286753,635120488,173418809,55090537,221966138,53640771,594729034,690454273,720902570,613905479,911155794,499125460,830506043,717559942,857982224,177852420,752002100,672092476,111452721,750504363,625813062,134135546,486770612,487178704,172857836,228962956,510382936,28869933,135047273,123603613,618821730,836614346,562284171,669390851,258429715,111618682,907647146,55868476,692294543,266144336,805531912,823281732,178395080,947546472,719310330,882464072,423253260,489904736,747775470,308013537,18067916,804613582,657161369,476710557,972721949,166791831,77788604,910287421,73806271,904825609,65726586,833275190,314070097,776612819,673105969,128028511,141038747,502908002,216261632,437761987,281613477,240661756,629547358,310382054,813395932,25106105,459484006,772017673,819185806,799343864,290217771,530642280,446170254,86880299,494090809,5529173,59037265,722181576,474054662,890388297,187603474,708631987,296634762,323732703,441510474,531925395,413667481,8130239,82949621,122254017,505703677,173826147,652211269,224882654,744691815,111489527,393158505,312587464,308556464,730094442,204851902,436127127,645218235,808751948,873664179,57399696,339589318,74862241,517766174,717226417,518470300,418418262,184289171,947307320,291737747,319095893,759875535,765951477,908772535,501345951,90518298,451696862,434509180,109570056,342134865,578469742,636132282,24917896,950996074,222104618,186442741,602743056,619172466,389518718,134794099,519401811,569068839,504226539,827578595,122380983,906308778,187114948,668064372,683272235,31323124,19054753,973413119,140659418,371591845,85452784,635741625,820566074,522855192,373678247,299441975,760643921,292545509,421738045,634784980,967750348,526220142,785495639,483508149,912652588,67214985,310952145,248780061,161554277,311733629,733489223,307554410,227423316,416116587,410475564,288850260,733833234,451493567,990627054,500407468,678537361,255554749,715888460,252194861,909408253,860631398,64874418,878022956,724825210,954738995,439348997,831597143,454922377,212654997,759570,723311351,131197009,664606273,895365655,157510762,775378642,114524747,370252969,569455678,517036829,885017461,866212222,717798387,479731361,92276538,741333894,995355301,451379494,882088419,705279707,217021834,116753174,469282918,294399813,48194704,15307114,555296817,149986660,988378941,326012774,987107498,154821470,897937775,360215862,523867796,515805536,992915995,504190684,278883547,267133893,611220371,626162839,289214463,207263544,21921778,920850022,454415038,109756135,699877872,697116451,401911980,777032384,985452430,382089998,138462226,989307716,286610409,701863534,272441664,474857990,903139143,667779314,71136163,816509900,775846007,677444449,325479799,338661137,781499098,872121463,892227029,130849340,903290512,551229024,835050421,925955070,162960301,705799242,758872074,489660366,480135656,538751334,521528696,396996424,839910942,963233502,324738329,559067898,655057954,812265702,53950299,599022071,726775209,739666441,385263780,875426269,349448739,292939654,740813083,763017916,966610396,235396534,345953253,21122814,152347089,281145934,451233673,915769204,222249966,663202679,767985340,171098894,883058722,880418520,733343915,288507051,853643356,125523625,525155198,597991,303719826,740239895,284708958,992343595,91881470,298016169,350384620,359213832,697549611,944174670,552275067,810661269,882244626,614146217,464310826,261819603,411901237,381011098,700256932,39975463,725630177,771044779,472725591,48442435,739904486,434255617,26881058,727070626,989782361,959544863,841092477,783693910,846552889,4971498,649132079,912347877,421656595,865071251,302100273,379708133,602958695,915263198,930383775,216864065,93430322,69430195,356915364,850018899,240905838,314408532,131906928,702117465,88415019,701965936,336837718,210940720,701964121,695379034,991094537,562792449,27322845,962950752,272287919,897985566,432304440,576567349,905712256,431716057,387607587,691748730,707612389,508209647,38044283,233804943,7626539,336354874,753389637,806882826,115198018,898017994,405643696,680486528,618520395,277887238,626974844,312116083,853862213,818073820,774711033,464849194,964438463,40501391,537224568,6022963,900721565,216681209,745418864,522296151,785134800,983221473,944163245,838108835,217688309,731234913,96702736,119771112,95717056,295197810,344753144,259736236,560061377,774148425,989732269,195570326,321622502,693526359,321102851,54817321,754864168,538599992,320395341,632494815,383976558,455957246,621703228,209621412,452001247,410792984,771858854,825721751,7906944,197009266,777964645,542078297,663280456,577087983,642068517,559654110,486229459,788516331,497690196,254306652,645524793,645894391,662575747,656472683,21752048,661880902,861346874,442194253,906291022,244766293,712383311,939911139,938221742,522341582,340443487,884121741,222124929,594794702,699422441,620599897,946520662,403085482,919405131,990824065,967217835,950773349,127642454,622330563,89626190,729536034,694830010,353261694,956002349,195367552,572798073,741149140,726082262,729994675,313532900,246802923,737618489,746522255,493381615,812640286,815385220,422902891,44470188,140303431,517009008,830664058,87393405,121940457,80538188,239846785,39284265,359250248,359317437,533759100,667837736,820122622,333959643,997504658,901740026,571006131,145853815,176517262,420160662,29299797,729392233,161524156,597633823,239435335,597868529,460542119,361117790,319155827,121360617,536868982,462210240,429589411,78449619,113035797,99602065,19138309,209802369,195102206,268023867,201721637,777522735,407015514,164074996,724955725,618351933,914455767,538314180,691917778,258874392,399758611,241304507,187200022,310795325,190987541,81126699,572935573,131085516,319180750,56379446,873339119,172205536,219619010,104801832,632696598,818793892,521927635,610924859,563932571,106914467,47369864,51392109,286628834,415527984,474546165,404538676,719722748,680183541,107451518,910764238,356293529,211900596,683936545,436701331,700305542,721765147,956127743,962090723,400095954,473305511,730976536,579156990,548245596,319729880,22006638,631146282,534409814,518966614,707692314,162463571,461586460,638667896,534769546,483942380,391779352,542697086,670333620,54276904,684068150,982538689,832691929,938043726,986811857,76932318,404429816,243678551,834215626,154186605,854971665,672247517,793173783,873179570,490534907,494871306,490491941,824664384,68612686,856603846,663752611,603851212,142143587,647084914,820937700,393535803,563712680,751352907,866554800,746512419,818642943,746130168,147131514,720611436,895140563,701608295,761698125,419364201,38622472,635250190,812079944,528170346,796742183,629000690,840930530,990755987,225717945,6096473,107166464,587159469,940452748,683502454,284718220,638888120,986823629,424621738,286002502,923886755,837601440,436479720,883321931,212400077,84343811,594433398,232602972,411706845,58239013,960124222,715270869,337439664,851855818,146467174,733838816,86933039,857499178,94926064,421682230,633202201,586448668,270788634,885799901,267143807,284771917,623054728,819852752,322668552,472630841,126023343,733512885,57006572,472185220,848916436,586372736,140586999,100798050,727668954,304781355,18286096,83688457,855581148,276643748,555591199,75193990,220356710,484516442,487322364,232321239,314409304,424888664,444855104,718014097,295878006,507162235,145459265,108303652,492402948,831914635,110040502,325976105,285040187,861443256,186388050,794170164,735769834,853375164,899352049,184897007,51207762,389041049,668719878,491722806,672050722,225539449,48370819,778965215,761196731,564448201,287102539,991518446,555709102,238514273,126468640,346637080,640342,876255496,227778411,887086122,951642312,658383965,387567857,701017358,96133025,526442193,39363286,654843532,932019066,52791620,289899806,132492939,378474892,853108611,10536789,887354348,100392780,29172133,964463816,941380131,372593929,328685842,514932337,239580185,582771077,188679585,244314258,883214,882029049,136229142,440181293,659684598,345207451,209837013,165831311,367539369,510946714,97264874,84792435,489421617,947876694,345981841,814750774,498751363,509812584,176056844,199384022,377438809,71734298,458550537,162216822,846234563,32083519,561540687,271450347,573760913,23054491,486551866,708176113,545054940,730303868,946752911,898097592,801980503,193803535,738062025,132249392,845013165,89245132,836561109,836684708,87722634,823059794,376055479,436437778,950371137,479754188,440570680,368434694,355851500,417129157,333004439,875606246,128827282,905861252,749464542,976692161,856737283,224337812,321595139,971014074,388952801,537116131,650509354,282507516,775063621,211766803,677911548,924028240,205277205,889867325,857192005,96214936,639575729,177223155,860484440,645789872,588959811,465008050,649468058,12783376,49565888,377503550,704130162,752625437,36333350,134600366,647579316,827565862,788096689,495749788,790383012,66298270,80186741,701730185,476827737,344290233,423828995,734071423,747509500,968434707,229471079,866633212,755426237,396775694,762479393,924205838,893388905,374315730,937381609,946789913,22422793,598209905,441381147,100508387,420209568,493380103,538598814,410706676,857254058,823212159,281271258,124595404,794941896,225709888,133894881,202094706,779551548,36687403,343002359,202938297,47845821,439497238,113534549,993836179,381605869,38287682,638144034,384961915,625952374,895803110,939552350,931989380,594756238,86896043,4476371,200620444,273381922,515198858,967516245,344172438,669670402,593484157,938208898,660610991,183374408,999869451,838880333,114368650,438722497,169685040,398284527,296928632,266426420,712039823,570349110,805392418,953868370,834566154,93927377,18654787,931358769,608415607,893858812,875978175,987823105,622060480,387840395,444764206,840340618,821888958,948029829,764348226,856915849,660607827,711365348,249888296,459931212,631587405,887995022,262605203,126390792,378891836,718555690,11387043,524791519,912584618,986664869,855133424,986137719,814660128,712348464,773543533,199784558,453624286,823724949,654197057,575805209,22465468,560351200,934205288,902646505,598710569,102963922,108726978,133179127,731774159,30999031,14608324,217960601,567814349,86840009,410544741,556072815,726372795,740142077,768395414,485795606,662145899,566973373,324023470,984424679,571551177,754189879,509539432,370381635,12221226,342618407,588241548,128470319,787298456,142142554,771519326,531906079,606219804,699919029,790896276,163628536,131916199,131582796,551725110,162756141,323012598,710406341,831649752,824110803,200001609,473065974,118626445,715344412,395919787,554460369,556583161,236370746,173144909,643915931,24822291,558466471,129206596,859204679,886078021,904196308,848492402,765262631,399193745,779369707,899540028,107366087,896288149,989716692,458470929,591824917,171639004,816235581,410501137,10328734,258508522,258928093,987835603,82622933,37251170,710768498,327060689,604132067,744821382,182543560,701211587,784440865,872099873,728661974,756055088,895123637,583502856,154135621,375846676,929700577,195312775,836243218,893402969,499316964,384331403,91739242,230511450,234908546,951194191,685463719,672369015,8591732,421606504,994164273,231642760,739183363,291333220,649452581,325278615,299816826,298496222,331240338,716064635,800157801,924900761,100002861,850824126,251274881,810573405,772944834,387314549,197129060,291398181,437283361,426709266,126872501,256070220,413878008,794100285,541979393,562577971,804554804,858904420,263995678,440219778,840227854,857836140,801441747,330010659,267679411,196602178,914064380,648797638,83691150,973221213,525930113,710788644,588904712,454568806,367880697,734278103,235244665,881516791,63308297,328311799,712099517,640484167,407757637,423576467,198213428,657369589,157008730,694462989,38016203,664283743,566265230,957552147,585469781,878729925,123283897,371401540,353589668,783681170,663104433,380214533,685206697,273440283,594320771,85957129,96311794,875836702,204154993,666386391,715472589,913017246,973484183,574241592,528617626,463226868,588065289,600858743,342557678,396484004,639677541,915983874,396242834,802236180,662100045,994717362,829359929,82624681,359278287,980231182,603373215,782935958,239455058,687375205,345703364,35271873,326827742,542691403,303286372,923124583,232711794,861915624,782685470,443231754,616253683,40615286,382408637,775481427,279593697,334618563,853367860,950103033,863858747,670946915,734062146,990444469,421594302,529840467,401180143,695600764,544860842,614790974,765564258,483726591,842737082,577368052,392709369,204395246,549502105,305667103,158963730,893378081,58789146,310625959,499555778,93587,574765447,671214934,510997651,267576315,16363114,353452381,318290623,935422310,990033076,367697743,206472232,765782274,174010513,403849897,85032655,631339718,315373280,710924405,640007919,813317471,669341530,135270586,27307807,409610407,886372765,244880853,635611423,332734445,121579684,398985077,814386065,850271684,983882324,3113426,748030310,324921381,122959497,280005488,425363359,29459623,111319179,10207115,558634318,683913364,841138938,632234357,249857093,923951877,362530454,13774722,699741895,272465161,973591919,759784245,75535176,477486088,582484229,817467152,564487475,622520423,603779404,771109959,27467153,636290716,823043340,875427909,418298615,723236483,72724371,81905821,793670717,80101737,503839691,620046967,508915286,930557011,723991493,748542756,393109702,167755067,428292515,969108653,464656327,162961498,303433350,75208470,407453106,853502034,875066993,296100677,777780093,437372145,924434051,496902231,102145325,745480032,553119587,409946069,348286530,945847267,541433023,555134290,249295696,354599092,148276785,427132965,747835349,169595789,961791109,849728251,668601919,297300702,506122006,377228176,901899043,736088603,687100763,797502091,63248853,95293009,248019177,56897017,32918564,658306706,321266059,982220756,332594198,232946594,464214519,850548580,642831215,488088741,973109032,333728429,86837813,204155692,99035314,289403700,617798760,867292180,401633552,10632021,395255280,706904397,445627590,221611275,732963760,692262107,685086818,534556438,415244651,911783420,990334226,322811485,781278460,847438890,500173071,958723401,819251475,560830353,112270609,252806452,186938096,584463321,276773482,134538236,17648178,439351309,147192221,216621940,936112052,278339961,32947708,39039732,278324860,271558070,754528190,517773187,792034230,957275304,24327563,804601988,983883678,851433097,536650674,170055632,389731590,890049220,744001240,211412551,948400959,705431614,564351180,283841338,775637162,316498145,140443180,626558016,700063619,528065930,765119219,34570267,36300001,804044889,418247823,800837613,632648533,881901307,102088175,439124161,216603347,213459302,22418429,293020113,772818769,632749761,12919466,613498789,962722463,34761328,261989538,914102928,963111010,976672026,968699190,412451737,342100374,774461202,405722125,820147651,923945413,878990251,840979183,101722750,401255939,264072912,94987716,289778809,668898693,116779991,907669464,428226916,244306465,135796586,322135415,771292865,475976687,474146964,178565543,915054248,88479425,196138115,645579002,426508394,311937265,1633321,548012166,938555654,143060254,558332504,65239750,106784502,360948834,759828407,816675686,243295912,885847243,384693362,879762178,918540178,98439086,493871618,723796105,567832412,141891609,712901035,579161618,378623324,677622264,458535377,367843870,613453594,364666621,508929549,190109504,103126716,406873840,710221469,569007468,632388642,415583820,512922108,337560010,238585124,481503504,197800144,949547444,438926075,181903280,352515548,987197422,741903900,723255722,2877815,528549205,253181555,957453774,976059202,676526638,99427773,730067617,826489985,419985441,993960862,889003320,143687818,130326880,860958948,9531557,72293840,689443177,650946846,361514173,329036014,917344491,985959228,352715460,796313073,821889896,308955665,464672140,209084846,241899601,998539171,98412887,251424471,468111615,320010255,609068161,494015543,137704139,193417614,875643299,439235546,321759095,651253897,29895155,33827110,202891541,175584663,843457348,823919403,621105621,708796051,73063292,647111168,752337850,764854109,232573403,956840575,197859504,687414367,262838322,255739363,543681389,848006483,716450898,267196919,921445195,849639244,908285621,670001007,380988952,231364478,293366893,213770150,126724603,333464015,945020444,3096392,765322298,437165816,982022454,398670322,260441940,62744703,13844313,302556302,902227738,597992339,692820955,828503622,24136669,437260131,165061996,27821333,611061557,115770802,807628609,147138930,966818012,363401728,989362491,141653290,756624585,405880717,787045487,130113089,247018620,816505780,737978909,138336556,19717666,851511778,160656185,743001292,673580770,832978922,11679580,841551469,73567220,264905736,410986849,46768355,642265346,513821785,303874330,900319389,956699296,413136022,366058272,346302727,600987145,50896235,82482047,612744378,823383903,535600152,714443084,616206374,82818359,538416320,61124843,41823917,208399872,356909220,129307256,620653895,923422236,944595885,341513983,311645837,815635289,870990779,700688754,647033435,570441673,663758090,665375270,360631941,645749245,915737500,470170472,644878331,132805531,38635541,964505155,637535879,871247824,766945008,643863409,808325863,227118845,932255828,943329173,567995345,481130098,559543763,363635008,290771177,385652410,756996880,25810468,179334639,74200409,910058875,588965933,199050458,670859976,106777387,258540389,849411233,902123762,322943576,954663564,678372921,387818349,24530465,134111767,827319103,401353590,121266292,858090697,235170497,843634116,372269721,141622814,142626893,553812724,711642722,676524264,982213974,652356647,429837371,952839867,898578837,773589495,485405977,307833730,830424506,416437242,324420751,648010923,97165472,727812363,635612863,223724830,928122200,437044460,19049119,624502997,220946006,679294013,759692275,189451026,829035054,188725819,389567777,61574997,456002731,773435353,240449927,972808418,440971660,767437680,112245054,864677117,760122107,656037047,203076124,550222476,8715494,712745129,126585446,361142130,781688257,729539971,868681643,86902866,886040633,91528540,493082944,691102501,524577136,204392477,433056474,74459052,794147767,613278827,69520917,935990524,956540907,956950731,961084876,142346982,868203937,39915912,866668509,302501964,550108044,417345932,835547681,10574508,286723556,118226749,213298184,459442082,493577317,183184897,13183631,749965073,16082113,704078635,297181893,379138617,207359536,826645876,160821168,206549932,213413447,762206029,794330097,805900423,791875535,851788657,473369390,5019590,766933340,592408319,503886946,273695337,130022626,234453069,581380037,785596724,461851245,941518314,146726985,764940696,721439023,596489130,825889273,305366197,241803410,416147553,953247016,711594447,449543843,798036064,192023192,161693853,431053120,144989949,232887852,93338230,928517143,227351087,871685720,875674283,957396949,768920881,873353714,260103103,589874921,413934249,175884174,148648425,249357998,883112264,402875393,199454803,894615630,729249012,926116502,309860028,532011155,583013444,586875001,204813871,301522698,732717169,993064903,759209899,479643634,631481496,234715512,180084174,608959402,124290661,730828788,971644280,868303749,494584497,899957718,832301033,224459849,599465199,474852188,772018238,708442134,311090502,249904010,915425304,702722924,703392253,766122909,671059791,733426629,603952706,536633193,234839651,572606725,265366205,89410873,891504482,177470507,420368832,830226339,43701758,10436046,741302837,660793760,711123687,866107266,466192773,696571436,383649299,253162522,846658159,61824447,678542978,774230302,369452187,106245723,235179563,899912525,657775133,494999314,250197993,8780966,473470138,832921224,664701193,256885685,597427809,434829006,952107675,619632964,614730157,21508788,222286935,669595047,22492463,33480479,140641744,162815769,418484294,540957252,113067229,771625998,247335022,618158390,565959167,566093190,962413993,438517582,88101480,94805432,177350721,789018538,869721448,636065980,76491972,526307758,100116781,564268252,925456733,206926031,40117869,567721441,284129189,595575218,443113646,331726952,718368293,626802014,124245225,438574704,719213003,186849335,539673806,843446924,735758066,682278629,137731194,377169539,609136298,793100953,981360811,666133274,30994236,28842307,207178577,596341800,819841326,9488778,245407971,657787493,227895910,945607323,532889052,294940995,774757815,552725875,281147851,8220609,714020570,827675104,200957306,70800236,615154244,214123452,413607831,435556643,918856749,590391206,884421150,935271868,805484798,759989465,351776455,396635311,315833226,75761736,233800131,882040674,595215391,340483382,94784085,119781751,982980471,342494288,471055246,659487834,159911711,997905463,118342457,566877198,813572085,972898879,101564965,855611308,811558467,191082073,698938287,469590044,237550595,425138348,857880945,328845580,709700434,885793286,776214353,884264611,581974400,845060807,648611268,228545752,384310795,51851221,601950025,233179272,13972242,380141707,6161991,729817051,468968682,262923971,344768907,808731440,312272615,791053049,928026969,270430627,613410777,297116191,934872535,614359616,351748332,34841598,204096049,248818011,483627223,686981747,64851789,30355940,107340628,713492991,475945043,943762379,51470488,274617816,918434326,967539906,9960391,647096709,870671695,284036824,195256249,802360310,758747265,84409471,472091497,845021082,746556848,494710543,3183234,337465251,145568610,130817388,386011207,502690292,323753213,317727037,759213248,221248475,495444814,973506433,617391151,53292746,381593192,385035739,138361640,939912136,362747712,319290219,51632964,351333241,99398118,64384543,636796185,825476017,611703624,329523055,888972273,142454668,873213030,564501373,238274389,886622760,991038296,471327572,288673186,164481026,294313334,174631922,958015244,727784516,355093404,222039741,676260336,361087302,560050763,902797717,306106009,699868183,169561723,800517245,152145578,284015561,532140528,972681274,369044568,486320429,820085736,868329339,708301963,340712138,853232939,154792383,355141670,205267283,98767705,166824770,794836594,784388300,317787271,449795530,606270852,676811270,355100151,675298964,319932367,3979637,5703240,52575838,915175672,514124531,996131467,760613483,721904279,344509203,437366028,750455012,281392524,122965627,626806845,660931454,566092012,160922470,749171113,584572733,706287283,317791907,938848431,19507816,970678483,229685118,338407941,345991741,575385466,321273206,316449194,967226837,977508451,518490768,182401862,414633146,103831885,286116213,773170122,979220704,11668335,116695346,86406546,876782082,199170765,310740665,278652891,76505865,293591316,97037405,549369903,416482327,261746564,751983301,756217620,691186984,481440632,359117273,529813237,212074815,691873855,196125323,620577542,594993428,85274947,709315039,104293799,52975829,510720081,394840919,676048279,644848292,554980997,580477762,551079875,229456353,201801700,37075847,220811838,572215069,328594004,691211279,405920547,668397732,418068789,660843325,493885415,435894513,969861602,587040858,562180335,883320047,692110642,836093524,118919332,532099825,123002159,748456994,729855077,485600793,85739305,106760944,91573169,182478393,853471073,96057820,501608503,100481816,343452486,987012275,238280583,796046819,6799607,351452566,588850020,840476369,759970958,113986758,495724605,762562777,425528197,376366658,484617777,337729756,191588987,68687597,331526091,83320812,532064120,125128897,3043667,543082567,79777788,130927166,739478821,138865336,806975536,138621330,251565828,439436118,414009063,166433384,817531892,187550248,176381894,59816427,357001767,690897445,822325898,635222664,905173951,449696052,649724479,498201941,935856279,829801070,852444469,566146561,738151313,581790790,942701190,745594872,277123073,688072662,157919513,86501526,596012613,188910883,981607915,396530858,439997751,960403243,933862785,992635975,761896074,778733943,733474824,382298750,779547377,379295984,45222728,793316156,292535745,321434795,488320652,355626767,474355426,622093108,311376144,775566901,178865806,103696549,175422751,399490598,445605495,34196418,625157259,415083907,28837441,839136302,409548241,816889953,78357668,866365289,177313005,840005311,669068786,131498735,889248577,631128643,161254128,666088113,430687171,44348150,209139038,606488053,821079442,348540942,601287885,825768861,954622027,749958021,810599834,998722234,273289056,721569461,238785754,48413915,107475657,739072347,724892904,873510742,329425141,240430917,109467417,847802570,892853386,547102090,710270224,182221766,146426304,368294472,716696792,556514132,668723337,653381559,199082178,926413589,319010140,805878740,210869267,463671604,408297125,934721348,445715380,99894889,737223699,428463935,817580614,875224484,787391965,969059647,718229330,109746605,660257825,878037691,389395330,45796366,358199037,98054020,928727027,168280246,485224229,578390674,142367908,501718703,9401630,116796145,988017857,506112986,306097244,898470902,166183458,768999962,780785138,667013109,814864737,835818540,290800018,106037850,264023459,897463435,628791911,529694880,899900375,663695687,865946883,878915422,485792710,351826191,134112359,878348318,114712065,818018079,968145016,496178166,80716071,938720158,566898123,669847307,230180053,142757050,137513344,53226811,20442883,829789748,449692049,750068432,794437590,324386234,549335550,973990640,783478128,694706156,116633977,668337867,688446952,372835633,226789162,456869793,97554850,893773806,108074825,564164181,178508470,712227058,125289244,994867594,233853414,440232357,84974815,561533947,607789403,120987194,417569521,503285453,10880317,281345536,597115486,192385710,772715416,239442142,164333731,884807963,231798682,672967463,484726372,581769052,586564323,631756829,731181998,764950027,402703700,127354818,470204690,994846084,373795026,92264081,415204840,881411154,977904798,481984660,207443873,88290977,950900051,37947971,69024573,636782454,447190373,178239953,888687147,625570485,585137573,142329450,492085560,298271257,673314500,532097678,260884868,943687504,972571729,748274253,955841533,752010386,544429464,951772021,830591353,498656168,23263853,749516158,12045170,331089984,741735061,428948340,551381557,236630221,793436138,550313991,390865276,340011346,527426032,520400887,468673327,237000480,589350680,214860372,643224437,962536790,488786949,788388956,892681727,506745922,295887576,537555350,132800561,985322876,103300972,71648553,128547205,539866012,70099799,711579141,967926941,339440667,132252943,277252463,148025442,548108280,527597617,42535793,31258977,74174931,109792965,107037503,716766791,485517670,181700269,806438393,746799478,520764254,709714724,211850824,177713895,482991363,694296077,787738655,123700616,311729819,411112065,15942643,201675635,970738039,711337880,159155692,469675751,617766105,147550165,488578782,791050391,432330780,653785286,793329611,531132643,450496914,184262969,332792930,614932472,927624316,124633374,79527425,366307659,299062641,171374488,168867464,379674944,125155061,871337818,240632290,411568611,772350020,750592963,749319616,565069890,596873409,709234155,536815400,558985742,260377938,905917260,193420815,481324761,671076974,517455601,479289658,679832852,963631567,273197068,55830928,632432352,605895131,491860438,485900635,71047027,94863671,264082297,437028972,690023867,916013230,821676173,329464422,559503790,528307949,652297852,758649300,892475988,250633016,285504607,882110628,233004761,214534060,452952689,79111233,381950439,588641544,106192636,892693489,187673437,443086879,758881662,952773454,143116686,846111356,107535103,81951122,223889091,758998983,107524525,497835783,665148257,586925035,878975863,25850366,542238778,952968198,158374301,441648776,337785661,587089523,715722050,796055367,673200157,577523035,611832712,828975481,544370092,545311972,312832843,99207442,602282474,319879729,185105916,177803722,67049533,667025608,809408656,939976331,518455271,904809040,909163777,754612459,160373983,539181344,533041126,832019095,66527236,270873372,683622179,935625122,163194853,289804769,853451379,443493417,542638589,651252362,357591241,159474172,268992840,932903171,705794561,688001549,872560209,290064271,759346987,395715810,321303829,408703412,375491319,600004402,438041658,930961556,828926676,307982855,31389777,337768288,430021507,306973005,693366376,992207899,378621963,836187606,475799336,493993922,433232920,22991301,300533101,465858331,201933340,967501590,936659398,470005291,208807234,663018523,57414643,337586488,431917752,968501753,338848254,230060941,633477826,731050864,132387064,899959768,40698516,776948639,946753446,481936211,728144770,787422130,761355720,259879643,216203065,297467818,661216357,9655133,576511025,563770208,73597746,72061578,315630154,526733930,51626417,496126778,308193238,375929374,760447962,618653219,291625441,329460712,416581795,283158260,870097790,514614428,224932116,962915407,520351052,802241052,966446930,506214030,568740636,716772968,609103386,315944256,164697534,510395834,559790206,79989442,273490094,823052610,534883143,299458513,671590556,968846677,114676221,18224900,409913146,498825903,458790035,230632046,444947940,448589158,992042937,385322313,514458127,97460724,826972663,493855246,578538532,928061498,470878808,440010370,449345759,86259978,964464308,147277355,265393078,40406366,305638218,591248296,997227358,286771748,947054646,443565614,235324071,173721889,729551250,204423269,66669347,977033711,622285499,837919406,88086789,352159772,568300910,661170440,36651071,655134502,623327034,888665391,784626895,651357368,968678727,407214940,157022181,165376421,913025949,797301149,96788561,391087087,396735878,41689546,869159650,453496001,994736828,683524301,849381502,887063964,204473051,977315162,88961882,140919961,256590503,447965640,877618327,30416040,229674134,655303579,85856250,95005140,797259698,249004397,996526674,981191427,731009986,226998032,781474124,898544461,866610105,509269067,124085398,952045983,228723176,588460743,439147458,362229570,709013580,809855695,472408892,185470235,281079096,286488182,295529166,978547497,791749480,704593938,674028004,981580788,303235994,748995582,711074575,86345645,965270414,27547641,25772171,373472897,805840741,277527583,11831327,42422636,701398740,233588261,978410427,164554369,47865131,133721005,510708059,641925024,983286568,539046058,116898544,476540228,559944945,623606611,772571542,78061068,15366223,310867771,347371920,259695860,733123941,32837418,718390603,687709109,841281211,455890362,611861241,841107927,453578772,659766434,388669125,185685897,64626587,882921891,773756403,99666528,145152957,272017312,135892933,601794234,585770717,503642500,960223625,587203750,990923919,681436120,260005417,958800543,754720914,110348614,134377837,376655269,565988530,863806482,78558818,993357517,831107832,280071336,185298647,235394731,204011378,998289498,576774641,946994567,150068109,37367480,282285753,384493376,854819010,944788498,32302095,750254343,791286211,418755359,931015041,342352971,742201610,905783633,420363469,4991115,193141038,27068657,702536853,532720851,142789709,370713794,376726309,926545806,817657569,650447622,684022549,539800236,58065255,345477728,776882193,632758844,715000683,960942372,55123402,505846347,699373791,600721036,463104561,589187038,234160992,451992678,119803436,974478951,204206283,895776722,563186693,681980096,69732416,439164784,688001799,463271921,346487707,377423740,866886242,678851010,862007248,776044374,461391060,125142551,140973022,805430945,525730892,859475023,897886216,651472028,825375084,598665292,853097580,901562313,410399347,642075096,543093635,77245170,192869528,598924599,415503235,720661265,412693013,821335728,839128974,781163627,789580782,974985727,354875135,819232642,893118187,346619374,461412383,344289404,586236567,702821076,473078953,429846849,762805954,49893455,224680395,396513429,510192132,233235323,501392058,989858071,435783512,479448738,62985713,122126468,620789000,136833235,903248636,840195464,32524504,183103970,275418129,647205347,602763646,278900140,761330644,804103328,992506708,297551323,793957928,572349507,410444914,190728172,937537627,420999765,225144539,705163560,465495258,127354674,237286619,671360023,627810056,546532556,58905212,990738353,242727664,638373447,606581181,761591539,294185303,270869625,90481830,383262384,655866576,9335057,380811675,322038908,393713075,164293174,789988898,461405725,497354242,349621170,549920952,849341126,162402404,437873678,389432107,892786956,231914373,639250063,121730177,300770611,434285145,886959937,547271706,102333456,150322067,231377278,964770493,766583725,647997915,700469153,452995630,745711142,173756320,161550184,665559220,856021818,173304921,476952055,172774212,635850173,400363240,192698739,884855387,308703269,365295568,196650328,609556517,560998578,361631971,951646424,345872638,642529015,607938633,838199494,904845185,36482177,298944863,363880718,46999042,426470692,826430894,819889370,862434390,62734672,423131112,216151182,821484269,16632260,269385126,856329672,800927349,862332615,104697816,930842509,601961159,47274575,170314276,515311784,206878824,343550671,135816285,816335157,137764313,628840142,522811955,261005298,461308734,910308833,63525632,554608972,339567732,442546316,298721657,992204930,379195182,359963983,493486391,985328959,919838702,253039560,462745421,569513722,404011851,100322754,920075754,426436875,498122370,97223513,415008412,724797092,193478271,86062243,301768862,587533123,51115534,861499068,983703049,784053792,107965203,544769337,722285034,187372124,43156774,547312812,960542199,963421988,425074510,463100934,148314464,337252785,921599176,478673057,899831797,151876917,326512411,787934574,537191618,260956691,356818389,597231775,213892882,77089563,718061716,331410468,29554601,9105137,910372412,709082263,266844064,900678635,841506996,326521650,882351399,770668404,714984351,436444539,171759254,252575292,949319654,909871601,605880418,178351218,296041799,106357159,11334689,360388530,170979566,786256087,655949664,360445653,825163202,566144218,287211844,294695434,800707655,428516566,82349278,1513730,869645462,195436281,943863714,752281156,890919313,866217822,212349232,427253630,208713803,336359734,650886044,920727930,858417103,683961623,561330179,349656121,996882057,300383352,117317432,454640362,790691206,297313562,338944291,767195547,9654694,190015823,882228869,891416296,711376963,976563841,250738925,436759261,832081939,543181505,12652324,719578992,655941169,659436660,395170313,351442570,790202583,731529435,238172120,594338932,617660043,460408671,793665921,994692138,761247825,424116001,361105849,700321100,389633646,289292452,374645850,842502580,48777746,394023122,283443215,135640637,422409135,536735081,209084632,146904954,258657239,246344290,737439395,79259863,647897930,542800681,293528484,381851659,877692189,571009670,843000755,989758612,599143928,36277369,620072705,259404573,686741635,349963357,200275310,114853685,681226069,109803830,261868438,454002732,646839715,682927492,455306351,493202348,481496718,153003614,257596610,996475951,358975743,725075683,367695390,883608302,473338961,793006975,576793504,479730315,671868995,85174998,669373197,745066312,301774371,226903028,440161265,318348463,289318170,825613355,981822670,940935570,420254866,808798797,374734765,135526773,185955919,543077507,36330248,769778638,761991095,700328672,907597735,783075756,814955543,746117199,995856594,570633959,611839280,202882714,679503710,640668580,780963218,659747276,346554419,729907514,503526684,247620542,502072449,843447899,251076614,397535719,707760528,634713947,348309511,447838947,714146092,251135610,729102283,18067815,845286182,359024970,444782805,422288216,550496408,803372316,308246837,355539913,425527065,947069928,591455399,853912383,697373399,166260254,575797622,217030224,713066950,793828310,313509278,646781504,921316841,8288238,78063613,831021910,257911749,550734454,862089265,862702103,509941772,226365566,81075519,908500265,193143978,100934664,60850665,429104473,14036086,548732957,276309549,713750240,692527920,452458673,97675723,673013692,6146452,905913219,699594741,974475712,743018215,730449488,961310274,755357870,582246469,486064033,873883950,884958852,712636477,883527129,793279214,530233455,212457632,903681041,989593713,724201519,709139499,14766469,188964355,849178637,902053305,701293319,169337026,121551527,866421801,634296725,563293153,454195523,608490619,754649756,960211167,522917556,455008773,446212943,704632127,554818515,732672658,818154443,647812258,588453321,872764781,727394109,282827928,907152596,381581635,32836953,291831822,681416378,296565197,650236529,978506961,237628279,442049718,859018214,252358072,19876323,655059675,701937045,775517730,964790471,640241971,472900153,249388588,812469604,541292630,415977102,399392757,904835592,800958124,60534654,257488042,997491158,915399565,285839767,437477008,827916407,418262054,673397142,640265141,781465715,139353327,106911151,989059545,561937884,879036536,926432405,479330104,919880512,650683500,478610431,560986366,347376401,637737146,110953912,857457337,391764005,976494687,632660308,921024647,985147545,636701795,4489000,65188949,921673201,697821131,193526773,917321933,374797665,962592992,314887041,433299954,72500135,887845758,773526180,936863473,514968656,212986168,730847123,376314381,131542803,713358820,522011894,422673631,468838859,530578164,810746699,643115407,372210472,624411881,117286810,771604716,924416241,220238837,349856478,440785215,985488396,796737453,937270615,57490506,992743045,431529498,25676287,846286374,258031104,539332299,762350153,203636094,475776338,704518567,785979519,840692764,701922991,575640950,816079493,658558077,824664782,414969191,626327027,882497385,744751338,811309754,835032097,804306609,346484802,819908136,51360072,87936829,588813229,571237463,756279621,131197148,196761212,586682185,777570896,186068422,319696880,426982428,323161637,817768454,803601574,814114087,760613951,233464055,575289907,124373489,612136104,100253413,916600497,532456812,733030908,832138447,472130089,724950915,809230764,229336617,274063025,346103744,243170533,388581795,392737952,984034038,357635065,9644038,114883469,187976818,479635105,192000579,816608600,309759489,516049677,667867321,162740867,586000593,713242969,490288711,113558043,970027878,546386683,425104968,830682868,76348024,423881816,415558711,586549647,145607826,446738210,984555781,418336243,439803557,953391141,488068154,442422728,150678321,936208413,224578758,744301545,140495320,602881523,334067954,641562607,938611891,513144912,41309900,351562871,317234065,405119269,902669073,682756809,461441405,694558494,627628275,83560412,517927837,544366983,112638806,147355817,732916880,674361358,326588048,8922707,957299214,907198454,309397959,654217650,704702046,593023276,919753245,404575443,838703436,522698415,106366518,815029104,380621314,166070346,848089860,463299859,686272355,980518510,462476509,98838868,771595022,453174862,317787366,764404114,619312369,19457529,191377603,891874126,82769594,180226081,800036338,906534633,583793729,363317607,394382778,447663748,425004675,364430327,890696254,79757751,725704926,736719711,757565609,186115226,89098457,815289899,936360444,654495069,974495081,361733252,878963864,872293285,871684325,614025500,966245100,119971411,561973374,11795220,160799619,990752739,306781904,388342988,700247036,374388718,80284970,775341312,48675002,656912707,42215521,35763230,694491618,660880833,291809634,95554624,264812750,880006076,869295036,975623734,642447063,280372307,508095761,10302984,155723628,99458798,654875014,955316325,275374975,261430872,808243975,549345266,607460048,684560573,636205339,118910603,222455587,106590478,126315663,54763351,653437449,745268422,688171473,861926298,677638171,512642654,666219366,633893230,942983131,680324129,318696854,996835557,985208111,675908767,245787446,372585731,831356740,885218192,536926778,843440502,707433562,562101548,760792649,111288202,141245921,694139806,221762693,555819791,956123647,417804974,361920528,79767938,101585075,852088068,57311784,265459962,821922662,452684471,5631530,673330321,532858314,575087618,448898265,373361990,357965046,53421597,880014188,717245206,189084474,408825936,872453532,873946220,738536084,891896460,141185246,111864066,423992440,853431428,425128439,974314342,135451562,66887258,859537966,17615308,593831358,817822793,797424316,318331928,106232649,33687172,262962413,81134803,803328284,388507815,464418993,925362009,470353106,237171847,470437132,55103872,163201473,870774679,109967396,221489978,32533184,178290380,425622630,778211346,927302433,610350628,150285049,369770664,374978638,191357068,728830894,710315554,300266585,105340817,609032739,246391892,942889798,443049254,599136805,74560515,302748595,834486334,753451703,822873308,775136722,516595944,485130549,706068855,822477359,136532978,157314574,341501867,232572229,175578417,50707498,530936275,891077181,626793556,983627825,359214713,398088894,693328073,94847666,661003042,951821784,846527720,582960296,550590927,155690391,216722217,705550155,562210045,487053389,419911484,390933857,184641905,837030444,994573000,764904683,830344169,629927318,130434266,578093297,451998851,21073731,515579517,78034590,350199876,450573128,367313683,707982635,884290957,231198902,60923075,885914953,78662388,324134437,914907864,415304450,539348808,841284960,584773440,920163586,928491721,129078001,584008260,39511485,876413509,603368407,636989327,353512833,571325592,466785802,74676420,590837382,435550097,706753689,219633781,688407641,186197062,310930369,326836890,622240534,427405814,211446665,9754488,46982737,519150188,662121788,915931465,878199306,737921676,571339034,823863345,561073464,423722571,187179115,650931837,449021848,717738126,569087817,896996119,319640176,818190235,798625797,629332636,379627020,921051767,194367868,127828495,378642580,142411921,194152511,989503405,391158276,872787872,653545716,469238075,364839320,602164401,963153173,67714248,886047915,138881322,199675923,423694185,734785849,663852887,876040855,954133193,749495021,968473792,354434032,511973602,203974420,517473401,799760629,925625978,251507223,688792997,852976400,921769467,169241715,631002899,408092794,599129394,78151745,734920141,527795782,360046688,828832090,2199838,858544576,485760523,923574112,119654945,43520402,678517720,963374614,357215099,305048045,890059729,220597366,938492329,202112051,221863000,244199936,857393017,29428243,65935739,301978803,120095041,256236628,294141261,112483282,432074194,833454064,427217237,130617017,147489765,325686392,518469521,968711335,947363702,774142586,906384329,532942851,399249907,777480366,166238399,93290290,189085229,463077183,170569166,404994943,532652600,801672045,144418563,461207717,483975503,87919998,413722885,556075015,192029059,825476816,163615426,803842720,703599151,923978527,390851286,271672382,472552476,884948050,320143080,344361890,544615214,662675730,735339983,462753312,603577743,770098743,418674149,590121723,472033907,260813265,495449169,510863586,572169413,303926215,334475959,894459870,189295393,94597570,501762649,792071064,380237433,456966372,654517180,563584078,186002595,645474672,811018149,322083614,773690113,396465706,836018056,492466742,596889182,914604256,287242596,524874720,499343688,728970952,730224462,753740617,306544844,673778214,828565091,690413118,707782776,65132317,227278267,233876939,674951472,799757717,456565004,788994289,390233455,797368452,512454677,212250790,506801446,298147805,958565692,925042572,944085763,500112976,441334045,803967836,147238932,886475283,878321295,28187919,29789021,909212425,793808024,77686052,186524862,149782761,232751943,730336935,339014696,541613942,461041180,815145463,677251377,688841614,519834559,815861578,210234072,482431035,649492631,295242936,643429900,146074440,791072589,14833420,945018623,191739418,700956084,347477176,368521557,45329050,510290900,409798458,946015702,732259375,472214798,308221349,14024251,617451592,729592859,129580787,251132976,763382685,762960870,368847370,791465389,34644645,893122317,809205638,171071124,95933531,906335758,179400391,578920503,268775092,175524410,545816300,982608293,615320162,337138429,160024463,950760017,188330695,383210605,274363988,785766875,513018603,278330821,767610138,463967108,48132923,959307282,173178812,106273227,751317760,777775084,823542485,510816522,171586076,345913003,461399495,551139699,296818054,832141339,714757833,668841857,6239059,66375880,539860191,597857154,98665655,628501588,535086477,630994518,507930018,531580878,865226366,731738256,935365869,24352679,193176389,584115369,222271366,245160116,658974155,84672262,978704989,690373093,863497439,484828143,877255404,266352060,762398352,257690505,939810511,72875426,253412351,484223564,223757294,537911915,145499986,98344884,350505255,156514831,328729540,374451968,756305373,251015971,652856223,509882997,550475531,239576173,929322420,383871465,100487323,687817622,838571719,388345923,436445106,7885532,974026499,423169044,356168374,397323438,462377064,881897635,114150420,877823436,667980386,142675619,842947371,495753039,30440570,102485868,856132228,181344002,947589104,341501910,651881894,5865341,674831911,949352176,400012594,64732798,106471599,302279031,802518204,560774411,689726674,989560548,422113715,351180728,825537537,367011591,170894491,213915783,500481032,753467956,956920694,393646153,202447988,205375358,341011555,42702686,573726800,130118003,230990849,119288449,798814985,675320261,632821417,150701836,725867308,745930922,782485640,845406581,282904555,946201656,510056627,754865319,133505161,111776133,964542694,571267972,427138231,583335682,235039620,759689510,509200186,426257072,643636168,885775563,957574886,590676670,379718424,604446480,232145973,393019459,430126488,526870843,807921792,275274346,742615616,471173663,433904255,512472394,161071692,47150940,644623638,901577738,219663947,514032150,914383714,809060921,660279998,775566232,696621472,698118064,127304149,351581712,5087985,485175792,482286817,557676836,646381666,597043448,943714531,122745483,162479035,891628909,922637342,432652036,212955457,287132663,183497530,704578140,283488569,415000556,248051612,29198434,317317699,682850229,658568098,662264518,819646552,566369096,798734251,992903367,360545857,770117481,191616289,153114037,258937109,975439078,896697306,244884946,251696193,904491547,88600270,365063654,368998843,794183339,930745090,829376618,268862790,391472863,686175191,470766229,236890649,874501788,647563389,987435722,984253514,480673058,928933408,902923500,420450563,734594180,101147111,829453503,257906018,435030209,392775392,546886840,55807219,265589592,20633644,740545455,687598057,412887336,28022988,715183448,327937018,748833678,463287049,465251617,969255483,407182690,293519242,745241318,628782531,847711730,620129620,941729679,924383382,626568779,255140266,843762659,305137455,476539642,801314593,160371289,376465919,750008071,254836121,637666913,4623445,677339302,192894294,589422681,82856760,55620383,54802667,436163404,545201919,276977929,126791454,352360216,478848834,296194726,846060791,770279965,356110416,436469995,696141908,560241639,206039978,361639052,963751447,446597069,569961949,236117376,162204406,46791261,442258682,62889473,373368274,703456332,765516730,90163624,942094242,825285954,934024972,493497264,298432370,321088785,749912996,972081568,395297053,390043499,908868394,11904280,172998691,883758689,920326576,562020693,610269420,529939902,672529315,652934747,360005869,295243535,587652232,754893820,249320260,118366504,552360960,148287526,926158729,728179947,240499881,874092906,215778848,731526216,895058098,952603108,706803245,191913258,687555788,420083571,254558296,646905909,204014386,333572309,493363471,730632026,389032755,158304670,329728434,535486608,315881556,976221900,482762471,333783040,452225678,384669587,750734493,581634541,640538435,739993837,682013924,276294106,12704395,179494377,871332924,770671314,262084448,470312427,654656994,113538074,390960552,825151172,464065271,784477590,516093706,662668648,720169380,275718470,796180415,725243099,747997405,473583852,534248180,544869491,280019157,898528932,839933722,517327546,324115693,33512418,589129627,645663375,339786439,445205700,321878697,835666517,188430161,554115850,83809604,289480407,652014086,458092083,881354002,802841903,371763024,313018031,888160089,874565843,204910655,32709993,748058090,507759397,669341356,69056719,25140097,889564169,81310379,153765790,519527849,263071738,846655343,988246859,23547256,64274358,309621772,108091722,44823037,306018774,375458271,824348293,637291909,849569403,488901391,499324847,90698282,237153472,740956963,485385145,895416057,115231049,583237280,103559863,96141361,802459728,683768088,383459676,402027244,193973670,655502744,830079928,359944782,942091219,621166010,629102536,158282962,682825849,584527540,335657192,768812641,769354957,810151248,14428302,918014017,318111384,892500980,868058526,107894078,279538251,574862512,711465816,391561161,353558186,558581617,712599124,199415579,142705903,423482618,707665306,94835936,518070631,771844394,42331016,241478274,457825668,701526314,811461054,298256107,532835505,705893376,163035128,932769786,877915393,148729522,233736901,797247115,193514292,79715625,567316232,949070633,223404013,146450084,743159987,984944857,470724542,351022513,580337720,861156281,960783877,988163582,56205032,657861261,119928040,933146084,511151411,214054184,720952062,74889359,316345372,189197953,696073840,540695748,75698490,165104884,679725866,420650185,718699715,963945751,646317172,26625004,252346631,6326784,551259616,745239928,354265268,379868289,711567671,713558376,731286970,579105455,867918966,687727352,625444777,92666031,961817505,610218336,75135649,631865402,134775726,934137480,917689390,412146838,39621797,709240423,144341612,823020667,984062397,427099887,924357087,975390144,107653330,848520369,823978717,553302030,120258497,808217116,125872550,206532672,510791812,128998629,428661430,86478712,862702907,89193944,110447024,541833339,518927928,661817757,359826441,990029790,454439069,188363543,735287629,339799374,241024295,895141187,696354583,372031987,835014018,652522659,806270463,184934619,362439592,718494745,60904349,107390773,397483390,761857634,986271058,558024332,190278615,308412513,602878425,679134443,334113403,119939461,429633423,941842105,801183091,257278011,780044944,262986606,572757570,873642366,555369914,858514273,122621821,410470942,174216592,328239892,760252284,269055786,561779992,742623797,783352015,258521569,36706354,355302536,50312117,867585367,379317911,35169262,391865832,192563536,644252925,985314360,945851484,864218193,840102992,710948752,731908037,183294757,709886093,34870060,569724765,502334582,772889827,286765004,599366636,34806415,308206755,244150557,328643969,84285611,370617433,441908180,357813132,989587954,397089111,216099352,825526942,329735761,76821680,108299908,803154173,644492201,872730523,414289756,481989548,894829821,454256298,448013175,596336652,636112830,557663050,88586296,657226686,366257035,991818586,45977711,278334772,428542779,830536130,872401720,225216559,427011929,440832032,232423610,202980786,786417221,436903232,317677208,382237213,796306773,832205863,953185660,441222594,244645732,798657208,377363307,14648115,887982420,179918376,61753173,275830075,136766512,359187691,951145550,17058802,842466289,313273400,138197374,732098826,820502450,184766102,887714849,942220145,93783981,480391122,564897458,737492992,820546126,857762254,310572772,888431620,577687433,751804303,703713661,97423096,869564822,203930671,662573479,559014282,694656174,109619805,177692062,430570041,293208523,166824624,225763182,165748608,115251272,793991584,127874452,936139284,270426309,70939617,143448150,79595633,654637863,660059659,525890005,94271328,589659189,885568008,440396376,228310495,592596625,256569122,590117724,46236972,435860259,902392322,888915267,415165988,355383313,250024706,782666244,236068076,599478943,182305088,110289236,674190562,528420000,318216519,775961110,558385619,84857305,689239298,768313078,9858758,429919545,404618535,162434848,888409509,845971391,623749095,934341361,205464012,322099004,529196818,361437204,762920255,559217615,712657435,982461612,147733352,96695180,44747943,749451861,91407470,741542438,487661475,898822858,2712547,351303445,903833876,577926809,386540403,440550637,599036842,593118009,573548010,953981606,438367585,556036186,160631931,144476531,497636818,537829269,938647419,648711480,962911105,122419856,509265594,93458552,616286509,320699713,830129952,790884095,707354421,297131210,710159504,897642251,343087014,622601107,619718908,940757977,426712591,722864827,801971157,425943160,368461632,335884685,212562535,100143164,684557999,216513708,253484433,785179545,383423948,157884726,104412831,172990370,825879244,933344630,89193930,759423480,668970639,443474682,360666936,113681364,135526993,962782833,283216173,930212195,520825462,621012610,424586012,402946653,557803224,508398581,719820073,273738884,245693430,974544575,909608002,802497009,767073392,232719969,194635034,53883987,612393575,862803394,702146867,614158348,674023804,22688994,393922556,336389831,341045857,170437245,864200317,467377735,698406805,216301208,726314826,816904475,338606210,145151939,721805354,305801697,536757511,856934447,232981634,998950298,825299130,117074878,714673801,602669359,569313464,915493288,333444096,925010480,288281766,326354132,710666449,670224741,249329045,537133684,128380112,296076186,822181080,170217508,719034559,241827561,491543970,841737540,533062554,590272935,617777279,8321195,368226686,125612212,393481059,867942649,374990875,644696211,980375781,257325825,102485220,218024700,708844177,520984295,965164253,128497323,174435209,225416749,475449817,86157745,903573205,62676266,999651097,187827466,480978420,438558990,731800709,147895340,709410777,207621195,404243635,511155198,822295457,972965181,926864872,725800386,899105742,740573865,561840627,618780807,375092062,739387054,81056399,192290041,779750705,571569199,799033182,907923189,798261756,381197804,61258231,416760798,649657701,427057664,199574252,731268725,48741658,199582188,862216154,121275805,370814637,428033053,274307961,209403150,417428374,581430597,874214864,362436318,724701754,770659112,427342588,7169680,586736635,216412437,495290730,247035007,620744249,617300848,515575914,184139770,780053042,147199860,77711105,596036543,130778919,789598639,689083616,437482557,145420222,674912486,382929764,202313664,426282257,734015296,476721768,268099782,459151872,425140250,425382351,253413718,792228278,243300472,644533861,154959103,165976815,845493762,501516175,298629022,380014337,237439781,518202548,361097802,540543496,958259792,546853606,113957800,734121282,109787225,137862680,746715286,688279283,788509967,541102594,196717648,780812829,949633099,18753885,471673117,46063738,4310394,525686377,460579465,610198143,74993847,858783171,799624099,518501402,101777365,452051845,627233389,371924176,981619161,809095987,454250912,49253889,531183506,49094053,767832575,749718729,234904330,240057536,912993648,733138712,67454908,102412256,534511509,714014623,750591692,358242948,698914308,329170993,638577338,214199965,401708544,203714827,15761679,631965686,24563524,473822732,446197987,514987551,716547059,756062648,894381928,547132416,297437330,535313839,115216942,386569736,139075661,82129828,684469533,546723292,817577296,614510839,877561441,961201094,968568753,669329857,917830423,995141867,156048176,396256863,576752276,712865897,480222744,290088454,338355137,784924422,558735332,408872312,405135255,860923206,649360449,916173792,856129031,70771648,495458871,555660932,359743672,839855388,78325628,199918602,366170004,755987065,310939322,837898837,362594955,282145138,994637217,363474257,35872067,890731126,328921366,951598952,879826282,815376534,111293821,849807640,508558397,859527179,669364924,361374896,555593563,831733076,918621025,453450459,364118525,960731253,606186967,526127088,434692658,750941216,254251628,760138928,338116656,995653643,669573976,975571508,867283968,82266565,821027547,912993841,216282737,562785394,824820749,699761082,405850222,165257969,43982116,337487989,85288207,903870134,477889168,398294131,877260236,208946319,623270141,587142952,968497694,537473676,389042821,351444527,78333607,958659411,956062376,13970319,121156751,986809579,372085348,193647658,852796549,5964690,965133144,80815201,636409274,256780084,993305992,907516328,221495058,771967911,625871828,388212111,404988229,413856951,62947790,131873222,938051463,653498950,221240136,934502620,416723984,573421923,454133935,598788114,588650938,105529281,206721864,229823751,113743272,703380383,408033873,503385364,154688569,216002477,320260507,731798905,649339934,95722290,604977220,49777938,415188908,881562163,503888374,897437256,690279279,215447411,224799896,361769122,230157215,846508574,162568319,685006248,314445334,812662000,590370376,279370358,603018559,421181682,610872879,464473861,622641185,12007884,963603635,452981157,428011682,332378626,38126152,179858011,536169851,924034203,475573729,303378807,288997523,419480330,383859487,324170952,688945504,924192985,961547806,883893850,533683426,799320404,314744693,303631977,739540811,335768920,89184592,133378072,437037933,33453680,112939092,149019071,579357913,133648002,808902351,155640548,421061742,457086435,386977664,103425366,732468855,851981616,867413392,968527753,718240507,859675910,392543612,113812939,428674482,986252101,793516901,342898373,938958208,817170018,968525020,819517424,498446647,137360744,18866470,935356961,626448561,677196242,322219784,125805443,596104821,915709891,533404350,315459774,138434297,621797342,109257705,883791781,4219220,124831669,892767167,315242656,636697622,958510219,823812249,112828112,959476400,46220013,37156486,354793200,619599485,954001330,189654506,771685104,778222573,875227656,982771887,615455996,32288707,378077771,236982339,681624124,13918967,680352843,696147487,261419734,73005788,707534759,382769920,907277954,976724625,42307132,407426291,911084189,430819448,581342824,345246534,794477026,346328848,666383969,419002151,516766041,599110332,316831841,655353816,119485564,93882866,108611193,411854227,7066937,954559435,648487543,604329275,280218694,554177373,71215188,155441048,198727658,154314698,197254125,582756073,152552004,708573406,463953334,138022478,859415403,700964464,90143636,959795111,308796574,539359961,695132229,52018842,7869156,754150615,581600512,431819488,75869719,550802762,876506787,352888672,735649044,71028723,477502403,674659526,137000191,867466954,626159001,86151185,652163675,875459737,931747826,827899151,822847113,444691524,917283716,538008540,567887668,942238825,582789494,900696339,312179893,519118629,156722027,588166313,394695248,623608245,748454192,624977311,82077857,914408336,679286071,463058966,964466499,439887762,630055531,414411936,435955145,486530787,985345523,131845973,838171801,15580441,407579483,250881447,569935283,195676201,471682619,136748040,652985196,845798274,977277345,969281985,562769658,954677164,336645103,846700035,285227830,453397000,66246726,372786750,154514671,225363784,140519100,24687124,196750559,463099077,559003600,336489278,268740551,9114222,357265515,347831369,583238201,63132763,818981390,80707007,394908963,496756482,352926999,913097545,946064198,685666693,374182832,565275100,992963212,98678926,394042864,907703474,892097647,39244483,742158582,648579740,97567708,845472327,371509011,692168526,442052983,358555355,858690395,507062175,825495951,846539122,700772512,484807297,34618534,173075709,431307067,287930543,859133969,849920311,660956206,951891196,979111212,154702810,830059573,691029743,98030433,629225990,287454421,541525369,295665213,579711639,181707303,270863340,826206533,129918529,226949125,393813251,27632199,219599102,42533580,906427937,142523298,210032413,903611912,45898977,632282466,170311728,998318657,782251127,607252314,334207179,142840357,575826507,70011166,151340577,725782952,597523408,586920757,592529654,420145717,483133709,919399536,854847708,288529766,504429740,62778793,223526246,789307417,554769911,650793356,632505518,507388716,819452503,398978522,292778334,129662033,242587223,337804326,317350863,892107172,591864272,286095755,578227659,80740532,352456221,686798859,505287351,381946953,275356746,883240768,72372131,347498435,327609495,145020051,710851393,436270804,803553855,230958290,381343268,987714180,993609078,91828268,40496139,176926963,175088491,291588840,399477269,303732580,579229267,820426465,41257135,833532519,40823139,628465699,49688976,31578203,364657981,585081753,803666943,668280831,234571486,641600563,762733126,610818138,197341048,272608622,509464408,619127444,736348753,286157365,644361130,979817532,200295736,179934071,881989235,964815216,838066074,76045281,613124107,845896278,485789107,288835272,230484028,447081096,474265689,107641084,923818902,516317009,500887889,890078653,60052627,52863095,270362545,323929289,239412132,251183825,429910781,257122297,109386714,85383694,617455578,73516378,320482474,823752827,569065284,372311029,652924147,726189763,643757153,273322210,949372126,224707978,292681603,961759899,811399092,737071839,677746745,999342689,969732344,189852076,13000244,613414535,177928398,879316091,366974990,902089072,939516654,464478760,911456267,857057644,258394710,290913027,715221496,572782269,156459868,252295374,527185866,699351588,417794960,676032008,99830089,97719614,851428761,61255178,909852889,78552145,42902976,587698628,292615921,856360750,766970949,649594043,599763752,112763470,281984507,456968251,635504646,669124255,968089339,398857258,651559390,49429897,693840498,970522429,182354286,785991061,312236519,336775518,572052240,2720985,940483566,3266264,787718820,332615506,179111803,814014864,440471327,686274294,337675153,433224530,923814779,558496291,793915653,371064283,121507131,636362529,451808565,958066853,917857359,941231408,73930420,560517322,549388134,242196721,826146804,594868434,641762579,246884442,629721184,993370539,37298935,713440132,364526921,405369256,853279684,980857350,444732569,847199647,646416097,262182494,850405072,375830473,375801357,19516269,849173279,604942155,581611017,611277835,766795375,542232261,965135419,755936453,365112338,709286015,31541771,140050167,583844122,686950180,558018088,537932891,391784405,946178397,711647927,303783712,904192393,883597464,73031737,858269565,949689554,753172809,286558384,716472317,857250539,610118646,529052243,971724148,686821008,117350953,204574936,255552073,420405835,544507676,582079831,3434612,184932051,483686687,516366757,800927022,968082037,568157180,234085412,233468877,562636549,338817096,62512519,634099038,125968689,865328053,171805415,214879095,9226319,967119800,155753314,627317415,724184613,456754141,383088794,388048149,348733286,72487263,545653332,595163686,238179454,696852179,136775774,543089084,575336218,493389321,57905433,780393841,28373297,875649011,60597705,10501533,769981057,175473036,454059480,214447932,766981010,833771553,699994713,336114201,228358652,167219923,626507358,829513101,545724343,764125036,819964160,811145258,733546061,137516951,836572101,443913679,423128644,477039982,44086094,914979747,425015143,545945206,350856623,422882999,542728376,281472705,146323965,387539114,887101322,203928796,557015044,539385958,160505770,530050888,920938189,290251262,19526307,397188919,333664364,995279125,189200254,403498451,859591333,362474496,994557218,701788292,949051372,547760826,533028076,394415801,719105695,340535042,176211141,992722424,26045749,42702260,736307368,263277284,590740589,827123683,871983320,711390299,818760622,788269519,346305754,66908693,410365062,441253237,406640661,963914443,587194277,768278450,827750999,989044531,59946125,792592002,602369575,410248708,177749731,630491484,661911639,255971937,593895713,738453984,932290444,797665165,921091967,406733209,713173564,651484988,982401752,642896846,712275321,831209815,852699150,472753354,287344590,936240944,831206703,319293337,34399520,359515854,626594229,781038498,465806003,838190655,680150058,705506639,605270192,601821583,438886076,550841005,947497369,597570830,699474285,241873586,701525400,320134357,183541137,370326644,948967689,860305139,407671131,326040882,669595634,592411655,895709392,217757214,555473407,216641971,23528645,714948306,813649979,83885115,274112601,490636448,864490134,127818590,544376055,928393661,771093415,136568556,100766791,420283630,889095275,101687816,834322627,486530399,520558689,845589648,393921403,463135491,856810967,845238662,978864674,964502754,373317924,358265835,636567811,241636499,783293004,60275530,246390175,137046182,394732566,515710543,841243459,946727883,767690507,903781621,547324798,555499585,292112372,764800653,383971334,725118709,758358350,74343053,290321764,709753831,961727254,168944974,164483605,377520402,63184171,139884319,234827181,358034748,712875470,509365064,203387578,952587845,965701034,383217975,445305780,218396267,562259632,824145321,370470991,341762551,710766547,990520754,514526360,434163576,77872344,686492264,21064751,127405510,75445008,380604912,595265163,54308005,895004898,664540229,552210857,773156450,598763949,888554498,223250727,487776946,1004849,774886071,482601251,442683578,688520956,742214158,790763854,920969505,993129003,271269749,637075292,818445372,721605926,905003698,219244526,416379451,916731989,726588022,567383859,620600218,44375163,713741125,233594139,901958256,73737415,914528879,177557364,124271772,201694637,468664391,644614497,939541007,278275413,343909517,586466301,694693596,94277030,709783283,254974856,342910617,629704015,189273187,897327588,607620004,142939548,175585887,652384065,709864026,877268801,797778039,818198196,965787908,324349236,230071142,176549925,142310954,567371671,999043630,425926098,201620705,365221887,901539758,987192568,35857210,636154234,39524948,513969655,760250257,861149844,796804091,100793722,317526463,855921597,829715530,797308981,195353875,814430976,519201226,483995969,335820001,730403515,956295411,271039610,438852302,339142415,3098589,689362615,411893289,327273672,126646191,697698265,65817979,927387394,726493719,271378715,417906457,679376495,303165334,796289975,954520765,498748873,862324350,332408280,860568570,207316986,929451339,230212808,372598683,216771952,200821338,393613509,493269646,636905778,934124638,510587586,220477781,444587291,871051525,395096920,979256175,206725288,770510089,369085609,714498509,2650289,862009189,762057157,757153233,495104670,914680447,487882646,800309270,88291968,35916177,932844104,484462763,358311909,571260433,991906925,970995100,961948568,703600202,765079278,871048366,486448876,218799603,485594672,489727328,990482433,450153566,62336841,548334986,535390219,953448374,880084929,342380600,215108339,922924027,690432480,785397233,58400038,799799262,766129224,411271650,691985514,381715138,421535494,690656902,43556730,72397941,422101676,308818772,593765517,225437881,408677824,634379960,71267728,710752715,679182931,859542561,473579746,122628141,205257820,871893168,341356720,265659050,330762252,135663849,775303884,234886289,934709789,360323689,463500635,911847219,361601045,703758281,790377891,907188577,476260980,662712616,932983767,206862301,581400931,1530848,354117037,142951889,526760368,688566135,402495204,524756342,229753913,20526514,453345809,927377229,748980693,551710740,818360440,123224710,384209785,405535651,293336655,851339202,123770648,176437030,730557898,765251582,852596847,509487100,850278726,561834648,925358556,921898392,149315038,152388192,91051579,200492799,145051700,540282940,178567734,18660538,15081249,264282102,369480355,988236843,841418606,680196565,799832616,716415137,274774922,609715968,760813266,296717810,632608492,748345617,188215522,449647077,290531101,440034753,561488800,765664028,290706087,548573700,889786316,729277620,98160245,662349459,942761055,349747141,169882815,408654261,979120637,629296501,622388221,206122533,253261021,234351731,441783122,300292782,366568555,177913477,886275902,453991962,121236578,918700279,276782381,332428745,628325053,36312585,297996158,658832188,723564913,94252361,332785893,97541263,613285026,459417240,180312047,437640160,422184487,277447196,477815263,677858641,851621339,22047706,277068487,111859841,604580126,199090146,867183836,827363000,84839888,69898493,641417979,74680499,348566259,563998473,409997274,878459211,900467847,745843328,473458089,780692735,102787690,758196351,470988426,609714186,974450846,877155461,536988221,493069451,1453580,725803442,922316235,497450853,138675997,228190108,99727895,540356270,375125959,300017294,976538266,442929743,556082892,253282766,387931054,643946660,415818108,848412050,107254365,567225790,846774202,732925650,300507432,952371218,499201049,94339492,49848278,603185444,313437640,30559294,453110321,742921878,31489104,950201985,137893033,240451850,756081087,384724585,673202438,350500625,304681919,805937342,783496485,132714877,466293006,514324490,144168475,125290896,89688038,230390897,336705247,882376959,587224376,182704799,25600937,411947224,485103606,209713885,632155908,713547836,650768792,768255514,562032464,827474202,98610936,980224527,929502240,735751804,856184223,729924400,462604268,540151663,758716552,30909858,985367816,2987637,395069485,960287989,34553694,207189124,441352475,352094595,968808598,604341095,423605230,416501038,858724793,277541499,813185970,310349687,910464479,756149781,254759034,810590379,949199574,579423805,34439604,158310592,475594217,756856051,27068424,857286840,351494439,837494901,658123850,247665784,74747809,12120699,618357918,120873751,904081756,762310140,460148798,873761784,40239606,915233925,571568951,287868859,649923592,642239833,233488362,987542477,276798158,327208642,256876300,589241301,958321030,422696199,374530894,499502144,782656580,787340392,619502197,547692574,427486486,576224208,429555873,763934982,585400520,678924670,479413996,879049613,454771049,140790072,737705552,584148829,967177466,601472796,558031960,738168052,261767222,179577027,490535465,343665522,66784508,322863888,113870301,261945046,190332957,397238167,852904102,864710597,457979672,246688793,515286074,113946652,464819157,853989284,76543177,854487075,404117048,9456958,97489937,674065828,685605622,863825650,352193762,112423389,736341751,512750552,776362773,226406391,710452630,148110918,334290521,155556186,582077371,797824765,860144610,29837664,402664700,273036857,295384986,869468647,512169570,662284334,348321704,449654337,615117886,204240368,737639325,596491747,1778297,992742473,797486845,812883625,691275240,682141035,632459859,515103343,840336448,388801056,892168071,375748831,832195705,103613062,88858393,178792449,607131057,493792001,566061698,380511692,292057129,740094751,560042352,600729404,107361027,162039487,884954959,937322002,557776239,195228465,499935567,904078535,685638759,451284205,38748604,439895534,507543511,547482878,150048083,466027281,498317433,922799669,245384579,566291956,37524328,394963685,188508654,329924214,783539204,157453523,544458923,789204005,723898481,907875341,343386510,488856696,380990891,40967873,108288561,487360658,487416954,468762448,368887450,662678627,250780491,201872907,786225119,497709873,889214914,26471067,792380984,276474160,215765593,854211157,571138447,948692049,506930195,487843274,170162978,992498549,438094991,774805651,360452057,264850711,858726636,184755653,601227390,316543592,270517491,844840088,644682121,325920183,63510358,40924721,201362442,31459972,666759663,223210660,483033461,261505021,670416609,830324356,69423645,228346258,144130957,200104378,416255458,646363604,748423128,17669405,728389107,849439564,393658932,480516522,377409374,657639274,702087086,963578502,208999513,285846993,499188836,52387832,208494369,297854244,361550784,417205855,298959188,564889591,171678957,110802026,792798175,196408775,182731561,50118507,503717502,409283158,347159088,157888270,982234182,599070611,980643417,621936584,223208489,120900403,565917355,824907606,310317795,129042116,195587952,843766468,756033729,53502021,525774634,308332485,696973954,43387247,743203554,929938531,931865379,894621642,893770610,209064646,146165254,220620903,955471756,525508420,230197674,757023859,140903645,17960882,134063743,527186633,520177450,633371752,394826332,541179346,168209535,835536448,864549299,786288235,404359034,547750144,570726841,561658198,515267032,283576921,672079993,270310838,904935060,174064572,522453297,917662814,695756459,890068744,632736145,28818790,746411531,643225342,19868075,922393993,197499284,907093854,329021792,568072148,432064132,803855327,768778359,744146217,285337675,233027064,235738280,475069789,343478427,974924421,534925483,915324187,404342408,341314805,500200359,664796294,905539260,569742784,650660889,90036679,505088271,767517951,837870211,755814771,691459591,992893690,465614303,584540661,292306160,753332558,758362959,544812045,187788867,129314254,613506261,645565046,748914596,201265364,661891426,713295144,775925245,649660227,270391344,244390627,26976186,439343844,606581913,402469269,194838366,919249683,556605026,275027970,521387327,154113796,7518592,799154260,695010464,833953489,987125409,516309641,77816421,402969097,147648365,564384998,916198004,39007486,381773405,771344213,791517741,48325217,726881247,326935544,87490294,767356783,51267217,888400644,59440086,537316087,992701890,419747229,292433093,785041135,868286229,721946957,665780205,612395877,982017549,533891983,849314125,660216005,205093549,886638823,924572913,460896448,695965718,235459061,328941207,498658085,478555930,987710596,177888993,274251616,759341908,249071773,583373250,232773697,967908345,732341387,497682800,196756014,885713951,990562171,721624828,663126666,122206826,680872716,678360006,656043287,388658986,80228346,802900682,460344226,962554285,251877979,931072675,13251703,229684721,74512179,408805872,846127565,746019186,209165243,196798342,717835359,680641736,325302443,926427294,917624519,240975095,283842769,285320633,923637933,962848481,659560206,274073990,109517719,766749744,159233601,463262705,582798612,332420045,604803617,99815403,309263379,801913377,921169745,507390195,49351412,891225042,186378212,745450315,480140981,604118933,128803565,173284915,623154511,174667270,979847380,360891841,596192209,541294967,984565838,243153998,167359901,472940817,380902959,115184265,7496250,251733383,475422600,493781920,677275565,775165701,429018484,706707561,19671681,24290291,154894358,393574615,862311012,258913498,213097972,412383745,109564119,791048503,967319935,472246493,92591341,498032641,291626644,369703820,23191010,427282293,878901713,188197462,534720785,775084629,408808555,585389623,424058376,729256668,939747888,261893656,166175916,336340250,33677084,882089024,916749486,620274169,571025477,760787486,134463346,260256750,83835954,353865745,17637081,150483063,788400380,288719002,642624149,243211747,438484909,911248810,839159093,387978842,468363311,798904821,331356215,408720815,279641762,396443139,857431043,524394243,728180439,695092217,6728802,729487612,426166941,818825619,412888165,205173498,585898257,158019819,360563875,401948224,397710340,100424040,372567835,337850659,873232988,211659814,492305617,527630034,965808631,336755757,347408089,170894892,852799138,475314713,981967321,848441035,285282213,898104402,372843879,866080483,457590082,722541367,758059609,663955067,913945600,751915428,611167691,117334755,572447225,933799485,354615711,182142631,787008926,142999279,146579397,614888274,609204299,322921411,967063211,534347223,735928840,854807349,860154263,593424647,683695312,305100128,118864210,339919170,225250473,520580709,264673700,402524164,495370576,119625939,202485996,280585741,503762094,875142290,527859735,311624963,105696547,747399731,408280049,431730291,721763019,171228557,842902514,642404769,776160920,893777101,156627530,243291,349373974,765087966,774094700,84837670,726730378,355829599,169415420,374154930,805871024,117318386,465491036,893448035,342798795,414142348,252316068,807265194,815746496,559406342,478331686,355944935,166109699,94744777,903169835,309464204,367036110,297449012,113693814,356161515,150977603,919299167,139731632,877255824,497394566,894601891,180987131,981886527,605378692,726995629,737452495,741994473,219093102,937316920,616216209,637575205,222375085,71921485,802821842,6935555,621553245,723256757,191100975,69800952,31074772,599198173,141417353,659474974,263631939,95607180,10142881,262761912,765704743,654631066,122104034,19724920,437243160,969207631,7146199,792984391,37047653,976980701,550668751,720156838,745601903,696348992,313593250,620244008,320677745,231391621,590232360,242874008,678391481,984601259,361273373,896060180,946110504,933750206,908039357,85014791,241404147,300985406,158562082,750397585,195300358,786077332,368575103,235079973,643280990,874330097,838104001,254104695,472813792,442046958,901817507,99987886,691661010,34846040,634192313,633256910,341435033,958121013,808232179,193807605,702974730,276330736,496523737,584451646,361652597,619197334,167768962,927063635,784901840,769906717,363793795,106302296,276573604,566494384,134990942,66753992,41954520,111369038,997305486,27448214,254759449,563931816,575471912,554623427,753459153,887582767,719438466,440940345,186941394,773592840,905741581,631594963,664173991,270503686,340091128,406701708,564604679,450490144,114379061,692289455,520417602,764783344,655864683,458747326,991475650,81985194,964947830,79535981,52222489,431547248,575108764,494455715,580839031,836846223,247111433,839639098,155280010,987577551,357763881,803316135,677175043,534061741,110555568,402225595,101245545,584903374,359481630,436801208,841677764,774625396,353949202,622432092,862244028,516533709,956641035,262156521,993641842,894887591,494988406,435308180,502212487,126184386,680207901,950664804,365343632,179217307,120170478,468602970,119806436,893119739,937981712,410669539,503890205,556513152,772495378,861904860,312039747,147818511,348518600,350928667,821803495,331540952,322036758,921683957,252572236,928944123,842500201,390453284,793668457,500184602,9159102,753614702,155303542,397739146,663061359,630250507,154844524,665978369,415364063,361103696,686308792,992169347,641021828,200573798,128881871,904151778,110308868,365017733,507713337,204336521,288721272,228366890,485287135,573434176,633447792,396553272,366954688,869603753,569891912,891119050,356937369,582049329,955289468,350500745,963548576,408978740,147135909,185386174,567433724,47076786,285927185,335279470,637760856,49152532,145826676,376582132,21623559,689378117,476563805,892123458,996305259,330418329,11110467,568605523,979703399,352663274,911370165,250801747,637964410,117867343,673985295,929958206,376792683,878192255,928022992,850372418,526394119,197011774,786804199,963649209,261397347,482492826,752331645,220340807,165346486,337104740,919836091,957840940,321730959,427914886,933788775,568069431,716498802,247213543,640914069,938107795,305818259,42659700,46834563,103810680,238358164,151068718,486963496,76651562,771294677,312071605,562221750,227882320,796145732,323786331,263145416,506017227,962610919,601824209,323570436,822643480,931127127,211184262,420117361,954449931,619369427,624727355,790801172,125399136,479488557,695648444,206954400,120238918,186105244,674965280,598226841,62839372,366321901,809403099,151788028,29828382,824258489,523918561,565076286,830930592,233248570,565495665,306171271,996475249,256039483,70600319,420934999,981670081,8561225,940251235,204130644,712809900,888411709,904047918,183383453,713465431,133428936,576879755,562042927,356821453,22903182,656948581,45649600,450958842,913354713,737623591,456356020,245530062,29704831,143505532,998807255,408151007,669389686,804285410,415832335,623157164,880688919,776754266,521076192,188776510,611939070,959487935,608760182,712441131,560490454,915766307,830377031,296963387,2036989,661213946,339983886,52400994,74768106,413028868,271803580,828320361,757694521,708182170,158705170,881909040,427996893,195763849,179602305,573240358,349230970,903789826,588479259,933799892,484457149,526356564,897505385,896568592,829017898,986228821,994145242,729753512,207567606,795150900,697401979,310205794,518157387,716640940,702054192,671516236,835593866,132381371,922394143,854321138,26641278,288345548,569562661,893374739,922607743,560760422,68922219,593491543,154656349,107813530,523257106,489856049,171030973,502054854,306364414,990117867,756757248,530862397,686477562,124588275,471703247,901747005,59761733,529362380,587252688,433785550,739420563,980421667,317777187,188995250,296011612,48010352,794090563,148248120,850233010,411810006,463622610,872368977,403167054,897446352,167143701,56116635,894842726,178700708,789743111,740621723,31207345,771566845,159251234,496034505,831346329,413623623,114963052,465233827,148321755,889416968,358079469,351954485,827373390,780336948,552298162,655108231,974548979,945778847,563473607,700847989,507783183,96528717,535239795,284031564,702200285,528635268,59587954,414261700,881936920,500511905,125619221,14452663,122964142,114968247,270172815,310370963,229891866,262071725,637728823,467250928,382605208,737557033,684354820,792326008,654361563,111090385,439900336,136006355,800655151,588884485,243071811,615019534,208566806,248717088,118429648,930859354,321678701,760322841,907060451,967500506,319624540,363529680,91235816,970634202,430960463,609416487,643871339,318696298,888867896,867763669,148144905,470112059,712856948,201064634,438946802,103123157,469150263,906209462,946344563,535191639,443106913,56152086,346903884,644151673,875445357,661009490,989092979,619169424,949334297,810873048,170858833,59653529,359650450,640326280,428946327,770837982,634442379,293655548,551950508,551648803,834062451,151173558,333200299,348647914,984703426,333596333,858211804,561851164,806237886,167165427,837403292,749805515,628572576,494655843,366959825,839488381,840260167,494138259,297808612,893194248,124286964,363891002,809064066,517963391,885664494,59160324,754118117,416839325,195756071,821439470,548554567,939357145,552504900,82440261,258395798,935624023,71190970,280790479,555978146,470172162,34520064,204587056,778064587,952790414,561047196,630210732,619668130,125507602,80397813,395822791,383864227,23378705,51794298,67750768,850126393,201855331,697559359,172025993,905580798,473186795,183465560,505883149,684169657,118418271,230156695,894857395,163837297,531074578,559061344,304165242,490747400,66485587,596752912,133742425,965548111,578236796,903165249,752435594,130083264,499875124,123909349,344388744,599605843,696168228,614382534,901908089,633817464,211154931,147000631,553776424,324790148,279178657,839830495,879237830,304257069,186748741,210730427,190599768,748808881,871865927,717969038,535978059,358949544,960218507,855646915,491743483,487507393,652488398,832856949,313311144,587496292,446265885,688011135,397385061,106292696,257239453,579551372,192128097,220333209,551825050,130065547,910741650,129708968,930890062,757505171,570922336,172646426,90858516,990871622,896098402,805956707,561337442,339258466,296588263,682806413,92324789,774074227,771763939,625686167,71789638,798437213,661455702,603251630,396815831,452001521,238577919,453985900,796153636,906783031,416360878,942672055,560502,542954707,482438181,773470733,741300610,111450385,812338903,5487072,779763712,521666564,12280389,346882826,703890662,892551954,485841806,276850210,338192111,488328367,168421843,822948536,729613428,829563924,459246234,852975497,566627607,683708010,181914040,648963640,373569200,907619696,959603391,419968966,532729869,160865597,498869816,782302473,587594814,621310086,297648197,754826319,345640377,310014593,627062299,392186480,943095832,730178786,895061623,176584029,325739235,961636966,987156653,627432169,106241720,824381779,322826000,663212520,191382508,143179546,354511491,369913190,498519639,30149272,65581840,106236163,546362796,603742125,202643957,619040047,771967871,586954909,947750245,496980132,447018734,888802386,177719059,131630658,339479359,683315818,593020947,941283312,194650087,450157803,154708017,906223515,633820410,192202036,158587839,154610461,726123810,996168889,483547130,816615442,355898710,739000257,393403002,846198142,654849791,569102334,937744526,134765335,18424328,304817560,251288947,782041247,429850178,167653120,373258807,394422831,736336049,152983309,571350204,657407158,992098086,12961438,908351643,585811993,679309305,97255213,204583774,745869995,506245299,836960154,555487591,525265569,486488756,874064076,460638694,921352767,806276623,542884078,189257429,435177937,225378817,159190793,539668114,350660349,48184874,520591561,613816561,212351651,509826047,39636903,884562169,928474127,441262243,120548227,862948313,65028574,169000667,908836391,507003960,471285150,143645322,609493250,135653081,428437601,684333942,665367285,921383746,590323843,776251016,785630492,815870714,11467123,352592544,312263732,285234175,343326782,348324488,513995807,508040357,777113542,951091777,517402870,637644471,944922382,413779289,247968200,458193942,760291416,354911155,19070025,245822249,513088595,649922224,878634675,209305763,966250415,840414919,707248297,399076743,564099686,854333093,919756608,634353213,824078852,849535750,401876186,673102838,816261620,959518090,432870981,455332540,184490139,629449375,852594520,316752706,738688699,553092442,349366188,631637879,94590781,830208458,558025688,455505955,528470567,430963901,229802822,244182196,439885777,737779146,671349703,107983419,652183127,737391546,416694914,46428632,744839277,788310232,595752023,158233343,108187196,552511378,186119698,659260408,501758311,499199030,393224126,670518502,397048807,234387995,398680132,611846997,78383793,659182628,21093709,300367961,722045384,791814408,488517144,890917224,68187061,438907607,89337043,352103997,549214371,884269453,901155286,927539970,690032329,253374797,832515741,515976604,163779925,201216582,389580342,541121509,410349594,531048127,334350789,720258708,792356343,739896567,618357999,352294268,503518160,821392572,287431166,639545430,823168314,307026971,966037919,985764237,663108584,553757560,4341109,654407770,954935272,779844989,415830439,768315642,897167108,643785475,701552621,452427360,136436555,673997088,5673621,507147925,887886829,263805579,908867825,117907310,912217052,153272806,533464688,418640017,47692837,673952602,828197198,512166334,917227558,438662946,922889933,630006721,351249583,25620101,530276902,917186543,315126802,126514347,113814093,953302838,702023834,276009714,999850003,84936663,980757889,118496758,96832531,35006274,98031213,645877692,274448458,249276093,901360431,999811172,416265247,324407250,642950723,779514959,109209382,956064847,890077781,835471026,552521145,608006448,708261921,620556702,799844316,358486079,156421274,30417672,607035688,265397862,102458493,269667822,557036394,541557777,244576739,475796991,569363308,889695654,867259509,84250926,93710115,869415849,894241356,655955794,472635026,997531599,122565270,18211049,520911932,905844007,751629009,940338956,394678858,191786217,891650592,561719551,246766857,400880546,19054753,657343654,223812333,5327902,980713553,780899248,416005863,767432963,195441645,156857569,110345834,254638977,299710109,718578167,462314951,90950307,705040222,718547439,675497988,793203853,58165013,135082490,860633973,675021861,740961612,244504750,692729671,468810569,10109869,842043443,208593884,545852697,989034248,315788225,773137277,214306982,43924390,270620929,676584667,886907645,753864983,522166492,506755685,784738470,741146812,509200737,328194388,88330115,292803896,794412343,422253090,497676400,609502806,506957503,307162290,338393498,238955057,464897857,9694983,965916061,196739682,89313150,3004774,239826176,737832581,467400795,899358846,175774063,357574465,308026850,735716002,903304201,756325246,712610092,753421336,572457816,407334489,513276442,591742398,65595398,775233155,277614544,915039191,423511113,332840832,246296063,447620496,94940561,995227741,496127760,436546702,261708418,796785121,776619704,385831504,237024445,379006253,615113148,928527371,137709036,507646028,866111104,809146548,287901617,215293975,778568726,509014195,670853524,112504188,408585370,671621569,333434837,477713799,454529581,5370662,116442963,721220380,591491209,924975630,133659786,510852096,166115606,648294180,554479298,466658177,769317744,641486082,135091669,496606687,253936845,209103798,368281422,299719982,492184935,694811018,765015080,971255649,166119812,466964229,961273385,20871786,411511297,552979442,142939488,905178983,848617703,452660138,431610392,877581622,400937345,239131087,761645203,206895154,567547753,967073586,388435628,354141383,216956207,762850121,986681408,230323688,796452571,634270763,688156504,96756363,729054437,190678546,632022567,105108485,473617091,68715423,991648071,631205371,737509449,641874860,568267702,916151757,578700538,848478409,38787185,724873244,511872723,863872680,945395930,83787482,526760120,247728070,632193527,822121371,375492926,940763459,306466361,768653638,422711968,45470795,578942469,354096470,258505563,27777715,197001921,533814782,398435349,183938499,879391393,940201110,557143784,883292710,973351512,985184330,975263815,166613410,801898611,301157163,646554907,820764831,268915697,204757494,999404135,38573352,376841334,634703713,407423456,450646831,315309115,802168357,155103734,280227435,916413715,308180292,54497083,550978914,940932120,579322972,412803393,774269326,618765908,185336042,595824003,52256028,61811449,488024852,460020474,159743991,319988881,191001741,124442620,180311571,341723764,342368399,84083583,960114977,483375440,528859630,713035442,247954439,889409403,798369251,874593304,969607915,873620638,435904635,96887427,307035768,876756406,264823780,820821967,316659616,268152011,264436824,828499712,689920431,648245366,432276367,384883299,95891726,123185057,134964946,479664032,837568046,156487816,140505009,489429671,358604094,322048270,633341553,890748396,490526790,207662437,542484635,236881541,791098454,440470978,809597047,119227929,438040740,918264969,478505930,153444458,846128046,570264549,12757834,93213380,239466018,901428185,478247049,767773274,779997665,663161874,771471076,131889902,224700295,69119347,778928446,290242546,220900143,482641315,392016875,763616911,307446367,445792133,513363104,617136989,317775920,94108073,459462138,424824665,671587024,885870674,5592035,73326943,477918191,376921053,825545330,938804136,169523479,729047496,401138333,653464787,613254213,171141043,119499439,763029052,128953891,378321681,353089455,926769273,892390362,384029967,588075542,291319894,450482607,507045341,416652315,14235798,927248119,964387930,341778092,4904033,477206654,109448714,835864949,666848687,396743099,701337638,686843627,584688755,349479095,714769792,177900476,485779600,631953196,171923259,958361803,512631027,150462729,892102100,28933801,863566214,951235275,965690567,895773752,783028928,340202823,913990755,409521785,172941467,385400663,110651598,280524662,122608601,786544557,962861710,28718474,671267307,582408860,777627451,815655,410762244,936167693,21293175,57274010,824173919,764743855,107178466,876948704,700565135,781505695,160910171,630174148,947622828,507614358,705702577,127249627,166417060,608983170,338602556,315245071,539682467,59545020,423306346,970391448,188865159,850461178,497493975,713392801,455568205,442393343,964623111,420466744,270684487,229662437,627542146,449569012,700616169,784079762,784476723,549122327,875263267,632893451,717304143,823918420,897147431,869837697,598343087,719174759,261978601,586407675,687071631,409504491,440626393,168886132,698812644,887132519,635195208,634119601,835153244,652729070,593048275,436878393,889655075,833193455,634255664,983289239,556158646,653060944,511327498,198467895,791712181,662274973,160275673,784671161,145517634,857802443,532841373,695973673,860631939,320610875,913535410,594354554,453333644,745933056,940736039,109686413,678024881,889495964,366855229,705219429,595221998,641103846,223543494,526865776,533506606,454031750,54499518,677290520,824430367,221693726,465248439,172739941,469658795,68130181,313005342,442091731,359210851,299621555,356307830,22295235,666305576,622266923,344337827,165658509,652037495,501550314,934592887,798490895,872132761,747609964,238639496,840817221,783231998,877167674,544220997,243625454,729401512,478359033,756615423,391641029,856482511,227861057,748565064,852915328,506612224,834752900,763838429,338202842,814912124,591892372,128661681,934094994,756575064,453721288,88422906,635602321,338334357,239223545,337092972,476671606,341428223,137413326,139131672,892905220,629364019,849091202,236790266,329505574,444460767,20568624,882248642,2571008,508417123,531777958,98515365,899558091,366851045,375500438,823336369,185072236,716367241,879425602,843030322,829922287,570456585,549910778,936616715,339764094,802778611,479994705,258167503,211609914,354193638,361373432,208127450,669147958,826210833,705612307,736094989,832675084,251454220,141879804,317138609,107638312,478012147,272168494,767578279,221529469,781754373,105813015,130798478,410968860,80185502,625617539,601848511,355838495,832857246,911703546,133411427,469568635,560925770,900330414,351548369,3521477,566349368,648214794,105609513,138052287,527544571,458921545,899347973,669011974,213036557,337997768,651554644,582237327,369908357,288392361,931443119,395666848,634908216,297400652,53749325,985362747,849770548,943471335,577124761,741133499,411393452,439144223,411107905,675931188,319514963,979596665,133022527,828349289,730068827,440525399,199516636,286611426,95976589,571025998,756915492,197932383,875148110,222987792,831159435,348355885,460891660,206218143,402871479,83813266,752561462,709600121,591353859,935833269,571499364,344470817,161531517,157660765,574147021,722194645,474544377,586479999,436254832,963581782,83386059,364675001,924879790,892140219,734061755,63714833,640144659,561489995,538224973,98611417,980310766,83939986,600038470,637359607,847434528,797840770,435045202,352724430,461737152,225529477,658663412,525174222,232830628,239013097,389208690,862778801,699304414,974103199,850857442,102390193,350817921,19769815,831552803,300288574,173333411,329164610,900841820,799731376,72906687,281409880,210822534,773384747,568208095,98368083,311027377,772054171,111607737,998775245,877965950,290733275,232324037,511912666,251004446,944057988,451918023,823202324,299577984,614092414,260429315,182788002,504076169,487777101,139161669,28978957,275264637,225898355,872101988,716323700,373421581,253965309,492186536,266040325,520337995,770388705,568140945,647065312,476512940,700480455,801498179,802126142,373571515,309139971,202957657,793611974,668845100,524851603,525580314,795396431,331495802,947593319,278941415,46460631,399495589,869969661,663459661,660089309,220427491,76170475,710923557,883978192,39378973,791513838,501692383,665566328,314670657,873162949,787055985,989856616,461642927,756218097,673134320,550646990,167978831,50225130,297968503,261024236,901966420,735535302,480005979,454662903,12284259,332989719,416696146,515271406,563878313,632374245,161487509,839853148,463756670,640148867,966165957,983734178,110418001,929665664,979457566,756656205,890679259,166761221,284327074,548143379,376951296,423301823,377083143,394729917,800172293,150773581,682562039,426895370,112219566,762148519,373765500,620985558,932118422,803436498,668130678,532541389,212465492,435215084,158206717,41537335,503965950,458891305,469296292,991983343,495971328,233501683,350615076,505237700,324847168,326165811,366364368,240129627,432376761,388043699,152534796,643603723,350136296,967140723,841749929,768184502,616739699,570309872,644191368,404157378,659097853,776551810,761009548,881778884,182658010,699473127,287736986,529659709,150145514,987664547,574303751,742069178,374237709,500672267,124880668,3895767,906774767,866389653,138466184,205044671,405986188,381495968,839167681,79512218,774735974,852403513,288563692,132985625,610694726,142589782,719163698,647984266,245202702,394953902,685589902,370855310,868642456,365302141,763344079,995595732,427368759,55261273,107112901,288958615,793074691,324769595,605602454,518650577,283481077,425786462,163353996,889668473,680023596,820601010,902353307,234537997,527015514,374605913,909696535,784238847,731923122,248043141,677813857,535241674,89867068,470820513,660983971,402715209,29077263,507950105,726730471,214534764,319835341,477215941,141035693,271594671,914200369,48468211,906995098,801984257,213884299,976741911,46407092,644929628,549347332,410239912,257511055,417214772,276780936,567133738,528754063,834563967,782074958,910072082,990358342,830481457,179270087,359905609,367251770,56166012,606347880,559912710,813222551,44867473,501168792,766627230,831638985,166917183,422896387,235070050,896975975,869158698,815216959,438560061,130190749,215614604,4124245,210343113,366385810,500362783,546193836,43215051,354975937,726436418,464437300,659492013,629558502,173981846,293171207,638219006,758724823,23707600,92011142,542868481,785832991,45514816,993115166,284210122,749322879,386815938,173410293,264051670,613763945,696895445,15086443,64848866,379968600,197006680,575664811,328013895,629264989,538227647,335517499,361906969,39427217,283825337,280275181,952971143,933337508,706756096,324166706,271803859,12504750,19974332,515570230,250913556,815366834,901619452,733106703,568882338,899483463,390877069,459953931,85464906,40505771,624637120,600674771,626360229,703887121,419568224,887163591,601770453,362619547,826548447,902137712,132411985,392301499,22693515,900769122,904717469,258760463,693419132,813690628,393283760,980872786,769697529,7937261,343331663,922598235,959059855,1919403,905020291,19537029,447824694,83576387,210872580,663973659,97492767,725318255,761211030,633397170,673517225,722515686,396391501,884040212,483029354,698317665,681204005,595415319,698137425,177041382,385436595,280657591,786395036,2316314,555354425,792487712,522138828,916373268,978168103,387366474,606067889,346962517,288455207,434297148,186368362,197930681,978842432,667898252,425053863,998275141,935434408,679017407,526532744,730682128,588310224,943028887,726943702,252340066,950311849,278960048,182604689,294114584,149733440,817520121,646833490,892135119,69643032,56898201,40576712,669412734,397277190,369002984,250542402,790687183,264087273,763015285,619169001,102928930,996378917,597315401,775457810,754194205,692156911,47229571,584486795,773461985,473015636,936723381,770321978,540594278,855737579,273731821,19532456,892209266,930374199,909484189,226589693,383606382,437484438,843353235,180493494,31074068,987150103,109152981,239057981,598176220,578931775,234123307,694403138,306927010,86457531,378027192,678583736,5740535,462964852,348471064,863947755,848364515,781597259,831935021,970199383,635344115,407028321,353130830,90394691,396530676,816815406,225421591,495857643,425141262,844777245,883132238,165644105,721002174,523519010,613006877,791405040,435038744,430961716,122223148,773057392,256979920,562282275,584839368,222147190,462961335,445282659,889525558,708163082,469537945,891079184,676983051,256831379,789475076,152130578,390325827,798509711,913740661,811225104,796351248,477115385,492105962,684710404,863057899,489858720,261062014,16651325,650920130,394698582,583075511,131654334,258869183,465821411,23269182,763520875,609521671,939510917,289960770,45407208,404623837,971876729,462397213,619086302,137987189,902988465,525576516,170111880,341656179,905167467,296019775,430806458,124363613,978768218,296389170,627958005,655964770,625535984,57425965,93792867,338947882,114878362,5171519,242232656,961163740,260187243,719149499,221099926,18403705,269041831,656151748,229891540,732777824,964511683,637028398,878686546,944145878,402865511,228019652,169845547,902352984,958848549,136748122,959990382,858140713,294707128,808418969,334308342,619928447,328306850,206451800,435844773,199025214,541064359,608019246,925333268,935604288,500138604,178924976,368030885,10904453,367798779,833833859,372789296,578207504,112243667,957684036,513861505,490140794,762123701,580727665,983475088,203846221,226295203,857727811,820680867,937536681,433470260,133424480,563296038,883486664,431336871,698542386,685988732,315469180,957608564,785674739,445441879,493439907,635363348,185686736,720903134,858079057,96434374,152021295,126247417,32651113,93927807,628227467,175462847,243278476,387388337,648499160,141984621,111421223,588802843,390372525,871820060,346368767,318827524,655329735,2195018,587284148,846630632,153270631,588787264,985076680,795219954,142664243,414751783,248276241,756905909,928698281,72399084,194373370,264953813,416751469,61085048,890921461,57132686,711153362,796513629,677622795,883069101,672622034,954107116,99760828,300793912,289468788,552532652,562657521,974619910,774845487,157253812,647097364,969379611,311838174,313707515,120493140,78926016,635465380,696466420,90732205,8698593,630052446,298132652,866913630,366665770,253077527,594963777,33381794,635610504,912902194,187790098,13181142,541206956,271446571,255186211,377768255,167632508,960823115,566820915,947274340,533524180,400013185,828498796,844880261,503856382,811938466,40471060,441452474,280082831,289343636,400023726,347292226,500152893,72150792,615694946,942066479,211687170,377510665,289756261,767304154,553143144,100544804,908776349,470657665,127555862,969747043,10811584,558683526,391023227,475245702,334884370,325001973,577926949,140909008,827958606,380865224,517730849,709616434,177758485,503019056,124227149,478856898,227518239,705353873,525439791,411567454,151569478,795451578,519095346,904421715,953643655,308959187,965124903,688599845,731157625,464700355,932882395,51431780,67243725,976739293,552289707,483784608,423638223,997563486,696477750,286648187,854978098,426837814,827615551,765239623,842543176,796591735,838475420,663292186,610359737,92664276,31702427,805248607,155698316,510229788,549029033,331713383,306752838,383545415,302191626,657284313,280973126,798862721,308014264,546031856,517670544,835865675,701829425,322029157,81065154,316495571,54696325,571191728,5335867,774691108,40169435,422519406,60176515,137394853,789526718,178305649,56978192,276222714,427710483,785407383,418437007,349364699,835961586,758701695,771421772,171920640,399299845,732219075,42585112,533779177,783914356,683015857,316681019,586329111,715464328,427082179,11190868,95455382,612905135,874129629,526335048,320810998,351780057,635206482,146182981,429273595,895552847,945921268,677471298,850503457,88447012,929712058,302782058,123955111,732722521,544950426,226810990,580817476,684829679,749592241,542967851,276411972,898650506,793161611,807966269,768820571,284075625,695522401,956821185,800125006,75055031,962932811,26257358,80251680,769088021,382052572,678934760,67420375,874657805,624688366,605732326,262265134,925645698,236270829,110507421,157839926,59592681,155890635,188670235,905843758,754823048,495026555,176336234,406142975,645092306,508933605,242592364,461092820,825810846,303658056,960080476,617869252,482335596,773025193,466273659,320307531,95279953,189056370,501860144,342617327,306819175,910836658,169119665,89516117,895225223,12007320,358430892,586190485,34417219,638866076,591577651,689244006,26783403,289046137,825841765,629605311,887561206,801058514,764608296,29599168,22793186,76735196,79630950,916635170,263769362,414568114,464321917,555397290,820506634,599208628,96125595,837792557,707460949,145540672,352971819,301603880,522763502,630935117,927920989,358939256,464416006,12854451,838932152,508239258,148550208,787821103,493639467,637763841,398216541,38732460,494347236,693723097,77670697,829696252,226394751,398827822,620096317,702277404,377061960,998901179,311781290,926688238,761938581,168791757,766104021,853691588,773220657,80636913,997136156,131316170,837945065,777454145,955250471,206075619,979603247,602643111,500562628,8136657,362669890,221957051,492119150,306144364,30209899,372451582,856509579,981398285,11873727,129049984,974545956,767929296,475089603,971886003,511926360,666866138,855353642,329926176,219767328,828070180,422730265,538056525,711541834,755512747,979061006,181046924,322900187,631351012,600859123,922706132,798202824,995404606,310006911,113307031,974826372,399919881,20313367,33632615,741326540,59387850,432455066,288671896,97294062,952708180,206269297,154657796,231798498,983950362,416289491,902831039,615891540,736329339,276311493,582300027,724483915,481157662,158852983,865733829,28735187,401607252,940300393,787883183,835677038,228773236,634745171,269668947,780369317,870560943,419074246,71220731,768525566,891335333,214352838,276461321,691279459,616134541,504765210,465319606,381452371,820450842,643125613,440816707,373300518,564389399,218661447,837758997,222185815,148685957,335676136,418487888,709396918,673791031,469040997,393649286,832903243,258130257,973015684,13234322,811236120,938049459,945373125,979729847,762266503,996917742,964824262,903329751,529617363,747599218,990823627,798390823,353805927,606445627,584897498,387001101,902911576,851679362,948614433,698723252,242731621,378798416,182066888,371213400,999429233,810646541,687345911,358541628,787914706,727608893,475076882,522033594,13058470,699360716,865049020,561198955,648696344,693576436,799233467,912461047,709722394,639739299,856911528,923166831,615281606,845987592,740301524,447244682,309807842,260895942,777323689,411645852,105481718,492880528,56828371,984487423,939469865,109854138,462641880,302569297,753631886,357492955,791134853,974253624,919872955,390245348,833402767,607915465,419993766,869859578,255888493,645972826,614822923,861496743,453939774,652327063,636692058,26961949,393348929,577208754,570384349,915464008,555603908,688080143,739867290,278667745,852496861,340240289,274799760,834123553,676872267,873358572,747351498,542857304,877843704,646459977,316765278,13930173,634453191,776784081,515900594,513100554,391542313,277921695,830225473,785380638,271857327,70542421,842102462,532670509,818649580,751543355,121119619,161668041,67271312,11587448,746697016,5815704,921711072,455808595,611623731,75143801,747708738,359458004,289588999,300164818,7218314,576126946,355454873,134085123,568227460,266095195,895382647,759100076,186887897,503804915,698444275,1303338,452137144,946822488,956402565,888320654,971272546,463405661,985436841,316483605,483563761,999417010,409158569,298782710,270977266,942134475,934408220,517190036,468709465,333404333,403664744,47084799,36330309,106144999,266455191,626970100,853603880,720670490,111144959,892912098,233179826,951407546,484684930,816685322,14403859,120167585,100472012,901721526,905717422,497610121,245786690,971912593,595550001,619178743,651303552,414328581,532041263,94258691,652679665,86609560,271816928,768918537,506849117,883072504,159342653,738381828,807797342,65167708,579130706,92369748,194340084,446759947,154870070,588974633,198917824,884453032,911739598,905587893,27199943,83269458,209921886,526370086,195582269,576265621,579569864,813758183,688907048,883112835,679864341,818278955,58846261,614856158,847048235,619491944,466675950,78789834,133330722,85048607,412694965,308957872,916326502,249420990,27464433,96548839,52867228,482257041,25450655,221395468,331777688,691107656,256088944,713890515,651776348,101440838,566785316,777461547,228634008,695324295,970362837,272266352,776084922,368279583,306674439,393434752,315185721,714747355,449158848,997891749,575699223,182930309,313694453,797437133,292740822,95560805,489825763,259806195,529647674,747149176,957072515,930826218,679585112,674318242,761725325,398470022,108923066,45358222,257001088,488737298,241332224,593950965,438075066,535411989,518770077,337421363,690976482,317299601,229968987,531544099,477972526,342858643,90204496,319804246,161933161,363480956,631723618,735494831,500730910,725016895,237396589,52731275,613024988,394139220,69800914,333125088,74275999,776228724,933703839,895745222,666202886,333351230,515288710,260228570,613235948,784408227,920314402,198983555,883739329,118119155,1314806,655870883,170317759,71965625,29859368,980426024,25680078,17978464,107632410,750798799,434375292,979585387,167394995,219295896,441210394,598073505,629489128,503029683,872587973,10702330,798126599,921818727,979236600,941612281,710758608,924291445,976743214,89713257,265059590,981230401,843310683,520938987,291592371,904386679,319001396,113607103,725847323,589987618,794694413,734197838,167538740,64441325,613554745,177713860,926939769,21763073,557309378,199008331,254922143,225195101,421981080,498384076,774473617,331234859,865283235,934930609,905353017,963705139,651484089,210724854,423578566,695541503,17919456,545249524,65238734,765457386,327660920,792104583,646752630,357839751,12591903,226954702,768422548,58765345,956916646,726903987,211954004,906500141,106154614,54748039,414414390,75149149,972476262,989209927,330668258,843836362,320977684,748846096,44580453,190809275,978596989,308659624,275412907,147180938,547647937,14690205,806866898,359958094,56971225,241209220,112855212,937691826,538654852,525096766,620049389,782660260,720924466,44559752,714797745,165733089,546450930,549937395,986113491,544164994,839487137,627292386,367194578,746782920,348056578,588657227,786724684,303346008,226967049,134363643,524851289,465256257,391600851,271816188,415848525,211445857,346962517,21379632,347435685,486524888,751882964,937956734,368700789,131983127,287061992,603820209,645783901,644259818,670100040,99107159,872760311,660081346,667370232,790345479,306882574,641444723,82647803,302909309,79945067,84803397,968793904,607659918,492556144,14697269,964087087,479901140,921061463,506497985,466313742,939127174,814641983,644859558,657951941,302252831,236052260,75297976,579992712,216630676,479175455,227724935,734508726,269402372,132804373,843732932,672970359,740183346,819894740,792788794,272605491,172489088,978904410,124025700,764626958,771078826,930171120,791434755,905572640,784788972,944670367,857769900,839261637,9594810,21603400,505674287,880593418,154019928,521074491,882577849,456519813,564021901,393284413,897061608,830248440,848871373,583033859,910679957,791147321,661202118,339367669,936626914,59929433,341109252,157560603,435863277,577447333,362128643,864945983,62389073,756117584,116578963,181681040,283250950,693510016,467333107,575079923,456568635,16637679,868389577,463060698,774341709,890428627,639933602,208317379,927303711,183954074,363686409,722445291,990613859,623663050,842011954,218863088,835816007,715297021,415331564,789388359,157484509,485540153,242294939,849829400,650545651,710009614,915979997,151580704,550927066,298886974,268424250,369925581,613571583,499664023,177851543,52654554,533753285,959813892,979201252,777086219,551576833,208673905,503915585,353936619,889404925,272324092,389528009,999839191,130872116,709319892,720091222,353658467,778246500,402441242,774166153,736775515,743919106,982160236,491154165,506895893,303042686,943607163,373677820,587497446,988628839,227282748,397954754,15411863,294599943,480961678,910117201,904592286,562812227,552283067,399829815,574944305,968694116,965843832,438930486,5022343,622134929,76748049,289234571,836609726,490012629,329161652,402442218,419370560,633737295,521670862,169724533,433529267,438529052,106417334,985734045,114258302,481620854,166219356,371301632,615858922,933295830,880654542,253209112,881361464,625265286,39978427,50074429,455650705,702022074,984694110,417789802,289604331,932424707,241747896,141277632,70220177,220028656,545508748,596462002,744441721,134043637,195322384,25789241,122717981,940299381,68797754,152668259,537168582,728233051,582947482,430997905,876347615,783872679,900688430,686403473,561489812,261083602,627666963,360067110,571831207,855971387,188388797,483195833,755508928,828663106,471012789,630524989,427181794,721394201,209847638,427365252,503702343,409903443,298212081,855741865,655035223,25376517,528058808,238829521,795865551,181357024,400686450,459670441,923810071,485069576,751147503,306231269,708371113,395848307,415192636,155378765,920821998,727464757,147474184,316956777,170866426,475750867,446648156,492020672,800674799,808868103,364409530,3958306,40209234,701370673,243272041,796117332,270193136,357124494,235125490,719232973,965881857,539054508,236818300,347858877,895479324,184256136,988041309,708220281,810150827,74556832,6939617,534133939,124645090,694728504,65087308,465808815,632306117,679374238,856748840,129155688,684330629,989716346,291947844,358112382,698410832,477052622,292854700,909225836,760668181,74781137,116818899,490232069,941228501,632429247,744394,875448560,566145810,498758025,819964886,225393135,735342219,400555715,113323001,293237924,316772064,447563558,558932810,3564697,533368513,171790746,802073295,289427371,465765628,674261253,392922510,813842718,463625375,634729950,353043279,34962369,169243900,442727126,20373050,571677244,480462287,200599331,109675100,303623931,721862548,853784309,4944577,908560390,93320675,613369062,473647091,643671963,726017620,835622224,398190425,829661237,323183349,195625860,904370381,789057007,616104033,236716704,920610352,721841561,712525522,275092143,106962413,748490581,899509374,958972274,406645489,25052616,473566949,987155700,931655820,523649957,513212466,515950560,156447269,28039913,384141311,123829138,600887828,560782307,22521761,510980104,259179528,399167589,614648425,696929265,552834908,273838022,211669431,815817727,866551573,384124621,200703310,489704623,25068370,668235513,66961863,991085611,887680569,167144758,697311896,394610774,437419404,957994445,358944698,373042858,57888877,701340018,438154038,371149142,932365775,536060517,459232046,762597796,706952657,155243101,522378222,273245356,209992084,880048493,264330762,177849144,689318427,934012886,993864239,499807429,740397780,450750511,632216772,927771836,202940221,591817134,722388479,410196766,732073080,390225839,728967104,438403863,928231128,105480813,720316220,236562869,544055785,855818479,149351822,984887029,150670612,906133314,488738530,390296853,119336246,514623874,131943329,43690192,203360404,639113947,842272451,534965890,295759081,616480439,77866178,836786394,915754563,981802762,675768704,451534341,739295199,530905473,597794122,717950814,258732470,997231761,469133892,166328026,944491503,188762526,609447847,352132729,229717568,50933973,52107404,958895022,218752711,816758689,670653464,644181198,913228391,254703025,434939456,228100669,439175110,708116522,261391731,171136552,234530911,366467989,781924305,435647087,244213643,63267264,31182890,880897696,385314181,719670585,81492066,908462286,487802053,927103466,54505309,177085070,834823745,129352465,989013711,445956925,67370824,218440862,480616191,769162777,118639220,890916187,935750445,481737372,920077038,294698869,340130919,757580753,363912144,44550535,710447917,752911899,308464902,15700549,638002560,495935540,550044614,519258823,521152382,20324966,984783720,135293298,602170815,61420738,438325217,121474002,651356725,24127248,620011059,25312717,493272641,983592838,74557504,166134329,674693831,538423007,434482138,552562935,206016947,138071284,371965062,549566018,451140067,900989560,282719257,147398415,126729487,120236564,616682248,957243273,948759948,444256596,404902592,897860326,111318623,537865175,32750649,634111448,337406107,751299649,819691915,946985872,265367831,335041076,955732322,838399646,496113106,952002986,285740039,790711204,230585089,241288847,355448527,633000175,802541649,640093780,24167048,500482046,234458890,549515174,993937566,934446227,89188743,437857081,960518490,389456969,442718180,961459893,627386383,971024398,713327312,204100312,244239283,234190138,900377183,841120815,414853647,886947927,327915415,520874931,537768064,378724138,975452513,761247015,504875074,377911946,965421218,3597172,565263980,537549910,407354428,190388071,712269503,246353043,502172526,421925677,512747273,772314420,682103455,468097468,283060185,648346784,950168035,78384702,841127759,407692749,942767286,497855207,448835105,785583580,141266566,557765110,855224841,407384142,823116158,341599514,446405822,692074716,502405962,488605958,989163663,39428288,770272167,710153203,949272438,188756395,655724788,665025175,499976718,647830479,287492925,824948783,322837858,691005959,738456283,76231328,507486328,878875245,353934955,611748891,438955820,20344676,971958933,556348114,340725381,496845277,294559687,549563057,43942722,468526640,858217904,786885232,145848591,261269689,313228810,989409821,430075305,905869119,297832781,359364525,379445959,595696756,2726833,452026848,592914836,720360237,194308220,466199533,600076193,766694664,910366909,738121379,640195747,245597010,837280424,587520798,888942319,173502759,294746105,849782813,660192612,48578573,904827291,55085557,830144991,958920936,556497803,586509666,946149452,383633545,634031279,477406574,516734070,321834935,407565383,873020056,587992987,391621719,53320374,998811058,311345890,661240675,867110328,427974875,597132106,127394151,765815004,265110505,577192060,285153351,278071262,720568443,539431692,169076822,238215648,5740443,691837132,224527249,235569528,41001320,77377328,598688529,87713375,594345093,558394736,481718931,846880657,378559572,228887106,747695952,501187310,543035060,529143103,62397247,564697662,20730445,872787813,424627998,501072945,978349855,12833325,173158458,601579657,650316173,114784390,977536467,329119273,601258183,886617583,579320262,609499062,147310476,645023080,506180405,96760350,985688818,532916359,851826637,62274855,910759494,160748668,134048105,977738565,695727079,30548563,390162674,606788849,406069849,598940243,730228903,481297338,241549237,915985251,577612905,270360815,195567679,67170188,914533713,5456131,977573581,321639873,427348242,191596216,563982191,837524761,558081798,953252855,29027491,928173257,42992490,883817996,250513479,344333921,355774576,952424121,911423891,142221050,466870660,363927635,986778225,898883247,631158224,60082126,811347403,152529631,994786011,937691531,75861085,750357533,608901857,460771829,565057119,432570642,262872518,10452929,999752473,177869033,886100984,30663522,985468000,733295601,759210545,527001400,194079878,730859753,580583154,225247840,766801410,720221581,4072751,468256583,747025047,298565272,935422603,268669804,647612038,410838873,13516392,216386972,631567485,196120957,604042428,996116555,112813558,118151990,336710,759272980,961881335,124730586,681845778,167967264,611994261,912366543,212775663,607317630,186387888,10923832,874144781,468210691,375625472,188499871,581576249,769920666,84612058,925243996,675472295,117876212,895713389,330159047,308133840,579766125,85831607,501641346,896813213,160657167,139590170,678350882,133291121,733853112,414451096,995059960,893382609,189394922,256267826,526169776,446597846,438782695,253451589,574791815,718712556,511814195,168428443,323179978,666832649,214626074,354490576,130268154,589399796,715357110,682753662,75626490,856351079,229911278,796356384,261247558,367818390,731885525,751291694,691868831,319572739,735316807,877434840,138812504,35533768,515384542,887235991,502970914,360528188,160272198,461446063,347001621,624112443,35083895,433108775,692834177,816245874,216341000,28382785,737984920,620737656,394148746,718863078,576723877,862866106,731528691,400097419,220553715,827239768,781669201,323554380,861587256,354778100,137537716,228720444,249634478,840308266,45476595,619844297,599321858,642279310,646378008,687735047,992088191,181697420,330987892,222753197,125301344,399802088,345945142,131018401,222824179,418638153,147577682,47905080,992285378,564246134,108985672,284056804,417116769,850586089,770060146,433406648,438705091,860229778,669974017,85742378,857751676,18523296,664766901,297943566,849637043,962807000,979472127,703468989,851080753,476113249,243971369,690688322,777808421,301960214,115572116,747408907,722406108,850208604,606039383,330053923,703967495,428020135,985752246,774887180,717392934,278656334,229470446,791163106,612732073,138011880,315413086,846002968,455208289,541326271,417040254,362013400,577536744,253706480,966873188,379702951,996205416,627385760,542794793,667584290,754538437,854436351,975254079,142283019,100574540,624264867,31738104,457070578,667475270,494582229,356437103,325067913,760791434,244106293,919564974,194404691,50046265,96489370,829089796,373998751,12969404,606707597,853275659,870239786,826955395,443896757,585546180,378475198,733977225,518540753,917889187,9370279,514452136,326007834,187250430,348125898,718608089,571722957,821378585,361861733,475149544,331236168,787964266,927563304,688448074,53759865,129088187,904220414,309868897,482833389,437055898,834821434,354956736,679458694,527256301,966173999,423565759,501328355,674483039,855559115,549969944,643148227,118819534,916601744,426253736,938020567,216591235,884291550,65619928,365862701,977157042,839112138,756016511,343617485,859319468,574183795,553885439,231195067,13204058,477411580,170034361,95612755,76173611,987347040,543194069,911394337,408910208,44793880,911251151,566327505,964427343,224743517,382048904,986245046,991957518,482079118,730654567,573922023,934115451,544953326,360586088,1126811,974058558,539004387,525215261,845329572,18023599,300210461,750003980,853251337,909517530,111958144,334859959,234117275,614797019,234551185,551320300,85466095,203989952,918911369,137976140,481529708,696311130,966232044,72790881,280150123,261671612,51298762,465301380,576661383,749303328,559108747,708562549,47672985,916950319,355835182,450965966,185021208,260585624,434103250,964475799,931117746,555120091,470042740,347417589,933741507,593300864,125701168,470746022,753373722,944836698,215701784,938439610,459744818,826349595,622490439,554447595,485751300,131790475,390825819,849410640,577334156,395120842,70197602,631249282,766952728,997654164,192804214,401774451,363842000,744276951,94171074,438366636,272749477,38846124,446574883,356324719,461486787,233940657,222390934,143803705,10980942,549726942,909479785,182474114,974347838,633730901,587654762,988003282,480456598,55622329,143382007,265478654,821587026,256541060,675882970,27372001,26715510,600125717,703250994,953370352,46656027,463111214,608516332,652766552,11835667,310243567,218474343,659018138,598996186,323479685,284520226,878710928,423488620,74937952,790155916,597145410,442963428,984537001,127701340,52368130,852694434,903467135,165689694,992104607,594385012,119171394,216873805,617115132,842390781,149958427,138274235,681587061,665546174,836564362,609120171,986612050,626694609,619327540,828110418,396487217,227594842,181739026,843823945,599046142,681491704,743860347,57138292,919477927,949144669,319009342,551194247,225464746,578667131,523837154,477192631,418437386,69637003,916196834,443353777,298189381,698175615,36175982,536024231,145432579,429346451,760980955,450085805,984941589,156752776,591124425,799610279,340478180,994623944,647005900,191728321,843359670,161306004,690565492,971005720,116364887,744650636,412424248,903854628,671915958,418385906,299381003,314376368,605857635,770386362,343725942,896323759,971695231,60197474,678155694,82705310,29898208,280278100,22677175,531015239,145943025,160901236,75923088,270323053,258108882,748267356,446508534,171820302,891169654,880491220,921461385,791771127,493432684,487743458,83722855,405479700,570771185,11530161,397897055,177026757,518535556,298689693,800236368,89101988,395769527,638409810,992911378,706320109,785900169,651551191,370725312,923992644,447586697,270184793,805668140,944535092,53787002,575290574,805870483,340453164,474263504,680560784,117332378,741972373,234984965,367483386,303530368,581672093,585508815,318531106,14537308,157523565,547637378,765747416,430658802,23341923,323781067,863630319,451830580,146017369,374315606,92943701,736153614,395015407,556934150,945271940,293870471,755646217,391595272,206279495,922168060,111445859,817624539,409636053,494433798,302464360,327818083,215138055,472878864,806017704,450269044,983791480,624244433,314906243,798618751,624497407,704632096,192246452,367377206,716198936,271529747,663989441,92439241,672933319,608933959,374299069,991678693,926317900,965533587,207598680,418253901,538236740,668235038,504378091,736171529,653017103,63379366,154006885,609050190,468560458,891252233,371729888,428083002,698755701,487114773,142230275,752513267,363884915,180151625,859202502,969688535,686566351,684018812,24483476,28646075,952556254,881593840,710200122,954543371,787015339,27454053,206617704,880976708,900996968,97663371,447842664,904058052,710909966,175922232,316174703,633645595,589930024,863143554,344386226,47901130,943900175,343624862,896034301,762183646,38494376,445160143,32325533,74386520,40749150,845739031,426696252,675932537,322632569,255037707,52639097,497996902,396144155,44155123,64636113,180461689,283381780,925963686,154418343,818307263,600314640,718610567,60094177,260310866,837581056,25310401,332785862,29009643,695496907,827538757,857177979,258373837,123289899,35442979,197604701,989184015,109023337,507139572,685580374,297659784,679350766,124503585,340586112,710606342,532952316,626278108,639450768,937342098,561907859,216884717,85377019,91314093,772771211,320208447,848211720,474744040,321068667,360306752,795473429,905689757,48499098,440603852,257393865,207363949,417693413,186066481,294619043,949909882,760607143,894853675,309565188,757276800,352746162,317691185,424790180,356815555,418968877,801808837,584776380,458375331,884922990,424640202,955661579,221605235,385246648,259124235,370734110,809581661,733837774,850415773,542071171,762888903,808491492,804153283,638528500,583694002,156202758,321605925,366974652,484084075,142506762,484078523,984225954,440289727,468411889,381351054,730787514,507343788,944617893,497131475,214969549,944375119,286962000,648890985,567584679,264257611,799265938,346974698,355714931,332783871,150129267,931064848,28746249,710880098,786298409,505453097,297621349,996826022,576410881,384912784,626017127,365108843,115983757,478380973,170932813,102702704,624594366,590748261,196501028,625748603,122706292,248009455,976624572,105844655,157033705,791997912,242986345,908036429,143385746,669025552,811662888,38689137,448845805,848984038,790755775,716540089,156225983,495250665,656896957,150071397,212796205,134618234,670984747,461414326,188127693,281947246,79474859,854442434,923683154,479200562,752561322,318312295,546145500,445250614,884822009,535310568,196636960,483994347,216856527,404662388,250514201,461507594,688427256,864600290,150826721,317812586,612073850,307534248,800188057,910852100,25166200,375623581,54963900,181621151,894507683,877503424,89078210,738870182,659871227,744090903,816405507,306504776,262983664,220862229,432824486,338653627,996940193,600822915,78653676,966471475,357273878,533539110,450125235,564252309,326782933,833960591,396711730,979790595,673714765,955787736,893599453,882144702,381913228,62494403,701060504,774985287,108067428,340562457,483570047,470426731,544930870,469766347,264300198,926178936,592743103,53767873,475693550,844731794,96186106,418364147,561244863,221114620,700029857,850572359,507132091,216001369,326949206,741590143,737395859,346306084,743404158,709661022,124449377,240072742,181900604,170158954,142382314,815466814,99764061,230767720,981939635,849999291,764405609,272892170,934120779,617100485,864988761,815236854,383935340,815465816,649809881,526859761,38941741,11162526,213680804,685250266,831439228,879011090,571551965,785137090,784933207,347529863,683705176,420369270,563854103,450967064,638801778,821673117,283759424,26924407,77905568,848905132,112553358,22518699,460615564,428219937,649473223,136723827,855270355,482508303,16207639,568533375,39866568,985579852,33770912,814732097,62754593,653547925,937482700,259706381,167079987,215150094,56518700,178868040,668946046,985034588,333834605,36055608,32556886,398130822,313873187,252279703,416824326,215684622,402223565,58311376,371412509,555745970,212606872,847842000,137746428,304532289,776827343,911408130,137708874,743143024,198296870,224721880,911877954,569974391,723570980,929641011,292353949,397026671,170838961,913855480,670290062,381099506,869497753,846911003,390139807,142104158,614859931,173248001,241207734,435360388,556666383,118667880,255117145,81092036,781655388,813099897,431076125,76716286,676884499,656228120,393270378,321975561,270713407,662818150,480272941,169253688,934098038,488503951,1258627,128480479,606522008,831867100,134152583,978177819,87172043,627282697,786650093,375982630,288295884,155109851,762352950,445870914,697002011,738212640,499269483,826486081,23867964,666661404,138017928,404455132,405549151,798798167,721231319,59032946,285933821,922679632,329837171,304503386,481755327,774779262,669046792,117015298,541262643,596409418,246786975,275466183,702236833,369300903,945482010,429144841,846322698,243978312,792312407,401292408,971084162,271424910,961206693,483013145,505673149,243530000,789795071,636513810,804283748,640991869,923917263,434973231,393197576,539569220,442190812,306055655,154119330,40852481,484851141,679303558,713137641,598685517,255073719,195035006,706444901,670743411,12588112,187906693,261264634,595146731,868078413,815176688,76513761,574838786,930437341,243256460,376653500,932878848,450624164,667176137,952570439,861825040,841432007,870737199,273713888,689463567,911461424,577671470,344939184,312028484,130950357,861091348,897311486,491334435,483999686,71873433,308329059,491936390,805735404,606991518,304757977,968143805,9418007,693718288,388659747,365290662,74778825,476559804,341918501,192770602,492924500,984982690,256134487,999237046,536444074,110505706,390985346,632676378,314403287,546469361,55029514,220966899,763610009,119275949,94597302,624815903,569098357,464388828,211550335,967684527,333255860,596218321,829746733,893935774,135733069,444224814,125040302,950388202,906736360,495242671,596018588,786121052,773388734,83658976,499895329,395862373,248886819,461414772,168685266,328908162,488521550,572377703,381463565,768685446,810312101,629418425,179921848,80723656,77129408,619966785,62645920,924451815,795378085,863319385,411272486,526591426,357379185,162535868,691072356,316903018,758440888,897804876,946248935,135856097,332100918,567987462,494216775,876182539,228327938,973468236,14657211,595181696,316908557,809942827,188055567,241062387,689085018,568884400,129459038,459663139,518322002,454581595,568246653,583585915,402368319,984248032,67201333,491701349,984257581,349280248,305259956,143949216,770118898,969228546,724337308,240912492,209895783,344314680,40938072,615673292,133171812,546045234,750163875,598145662,73706511,694188674,143101156,826829041,466409016,189595204,970269120,567037830,83897120,268298223,366201015,823655146,760980960,201393427,169291890,754004906,128881971,816624344,940900864,870402153,185272258,160552854,454673468,590524618,413661754,849999731,348926886,363950480,898309673,989368836,78936563,925624810,934819235,813904691,896645443,996823509,772667734,221835841,587860356,887701003,384272483,571187617,314085435,369900501,243336322,217223240,355450268,900064041,116935503,297019746,228259081,110179657,309460819,340004089,978122501,602362029,645948193,116474987,98523430,583937701,158642314,786571882,100821232,848776645,105080643,918028466,823961920,264530355,686600098,400943775,938248615,447431535,547694840,27211026,960615761,681380917,181601095,154803678,894019126,655665065,943618893,962321621,564777430,255935481,585160591,49446091,429986631,7106256,379032718,815370129,442223223,810599818,829518073,500846988,904950161,908378067,609972622,815483780,496063040,900496505,27992381,306965622,553043406,724079957,199739566,920495465,528864076,167714032,659610856,482707531,779869875,973999201,106218166,187880277,61556202,13349351,136133915,473402042,924039206,848181009,832525174,497839158,962341577,406750703,578609610,549024155,679999082,791433315,663560670,470454086,480471081,527765202,484163529,621698988,975124162,150379744,822867511,498365207,55932698,179850069,651178289,300465853,506084658,586394336,370894762,808127850,851193142,763351272,127505893,12517271,558794633,773822516,654129253,745196755,902128261,98627727,513811269,651131516,289004500,648497004,539140849,340811579,554316021,490623072,753528271,540352790,693212732,863715412,539231801,12956480,949628409,991024402,407890132,883145154,973348979,52895610,59641920,672042215,451899623,169334973,593601810,820064742,881623129,998777953,569012647,298991358,183764972,290605336,23678256,414911685,947221827,22307553,135925152,974459464,795578744,45429430,962135099,822576021,386358894,735168031,302606911,113122226,208912544,691085970,767085831,982196631,115786866,463331198,866345267,802601220,624534227,985048007,637132404,50829904,253964941,381380167,508802121,358921261,667956862,236594876,662684379,111566795,539629398,84657973,370005337,239401006,667891187,865003018,990533400,501438887,405091991,625616534,612545710,773105562,679072139,793214063,438834397,882244800,122719009,186291502,731177761,440776721,614840267,510005329,640231152,499239661,971596585,200089786,874711218,780167101,230847521,453048368,234876263,566183479,905281860,50535289,779760842,756622801,11861897,24203685,761064321,152182601,295573477,311871089,19388530,95246339,897595566,966973066,860498267,940333730,959980821,245810455,663585717,741392096,631256873,591444899,674791824,701615484,654137077,820508309,474187501,94601642,175367460,352475832,70813243,763614412,62632914,407861042,625689595,176711261,144744079,18501107,430436800,191539830,493289027,908953662,893856498,611951445,211754734,954252396,957365849,830384003,259233512,455682250,183812518,284004972,975130500,234353378,168653457,247093864,770175284,630384846,767353520,21117691,796379953,713810572,631816127,822028086,568857258,313877017,875687817,627083679,516159962,717935151,52563741,266095254,330524193,670799145,394171092,402572073,734864751,798942254,294060388,748816178,214274513,220858698,205850837,513718631,519214960,936553373,811314221,440553089,82405590,601318004,634130851,960377456,624362166,619068451,405927380,194587343,783466395,734161941,531730089,289237911,889477943,342845015,594622957,400185460,255725874,149524192,191887966,83806972,949853376,552348603,982047103,940996450,385600935,730478848,864525586,775605489,202137592,812944592,866887016,458832007,571813626,295856471,453930200,406651878,308997113,468386750,437982160,54945833,524890516,944532781,808507055,15963636,578405473,481883215,179392871,464135894,596319762,249661645,350139982,63487953,778200526,619642320,2226483,60725891,312686723,872340599,781997706,243203695,852552321,410471908,703292247,672850009,372731254,466201161,265545508,44247586,170814873,11631951,123009807,318889397,195627144,292547811,671775203,277727479,179326987,440493628,129426096,121634017,3306539,27011000,900450520,473033743,582470505,276836809,778685284,797572125,378541893,131068581,819123665,76788598,981821629,888831752,952466774,22380426,449999927,477067092,709999035,220976801,515661141,36535452,390257907,618639687,437561512,388014836,211990799,100798049,601586903,487756422,700506398,773065432,308475164,820054734,857273013,351968330,162690949,638817732,702704880,776543614,978295334,861746072,305884329,564529890,624471795,872044194,909097819,229201953,607909023,700267844,430263257,558203554,784386595,537667863,414725684,355204731,536941919,254521514,579064247,636917144,892376568,812932701,144684894,227883929,99209098,840626330,63958400,183154609,638236184,342703948,604969705,825924498,799999691,176042291,123374437,649149920,719658364,11596502,820356928,762960489,863293368,216001657,993638104,930527485,881911904,176446374,414157785,540550308,364058844,303358518,383239444,359502408,348858095,439638486,924375827,745210188,875663067,377683061,5294414,511253455,771714698,601038041,237730914,910597773,96901821,944616135,441421419,459800523,156854785,520373741,409541936,341799565,194494165,580900994,426608837,442749257,245054494,65912420,529913774,689073379,71140048,434702682,617412843,801515353,18503872,996406112,138294580,646572925,309478279,756359080,848909592,6242677,6058112,354052116,283260626,675928939,482326094,751887326,291522809,336569630,588763530,16318540,349263379,140248930,769899886,222705128,392571115,6613716,487997739,510080009,523802447,434449601,433308260,748413197,165451039,614037753,22044296,13124429,44424024,225934121,241502933,34969730,628988593,648027131,406329057,129819061,776404991,839595412,774340477,827131663,203321846,623519542,718354708,425719083,675000981,470049478,420098832,716498519,974120492,950086442,344086548,105283892,596115563,186685678,220801903,215467372,804636910,675053405,734412990,285787711,676625417,624270543,784592333,563049720,359301868,294696990,788864324,376299094,249470861,752486027,857567021,819813894,855061790,273802879,21337309,35956915,319937763,340702214,847824000,984408446,681388086,325626564,980865196,30688604,13933104,695838757,748951804,274271761,434969835,195142749,328352453,903810981,905734835,408689688,452332745,616869391,278932662,19746523,245626623,916191578,610725432,407647225,327870548,292258240,800787539,426389162,508878136,855759122,882465458,522788873,911067857,382404903,146921439,931745648,548527625,335056583,343592265,593068068,185162012,905294370,720959487,373574171,391759693,135438128,478758116,736205643,427319510,624601551,408053646,473856335,636417576,568015134,573533821,704614390,535608265,687493801,722433562,444785132,212977319,469686101,899821418,591655951,908272982,895328534,521157364,271802614,413128292,696426607,314209058,916358914,459183286,3763841,401565765,817722715,527893262,766990589,287562157,63471639,469727490,223595688,221397526,723893863,182667092,833994030,251737602,538352327,72007591,389258013,458832958,917081935,192299626,985793532,595224812,497994539,716620840,119465678,770434688,468684571,971619081,921267602,866345905,622052953,796275893,556975492,948730090,994704270,5451,21388367,819743463,49886540,880287725,445486866,420457915,358686860,335962831,32016978,126124913,616868112,430397271,85457687,458697312,909466961,901025110,403368718,42309129,20935675,520489137,749392194,265208254,943491259,460347429,111349522,435525859,835698795,838678305,662253362,851635812,313446573,385408848,285450857,794964187,123606917,888489122,266722620,227980392,900639352,867157889,460355312,779236460,116034433,226862175,453827948,751845844,863787112,759674565,133500353,701806781,95732238,395221784,472395140,942810533,359308128,681916606,489835133,572574738,639437466,308219514,636468236,637432850,212774190,14225556,554559786,101203409,285584537,587719332,580791024,437549755,18560448,246309499,852648045,415826751,190292077,456201517,849768139,317265747,40698751,110438327,778170729,887345958,392263227,871926122,148645276,247758792,418201112,530529080,284421082,338256742,233523990,760608831,393752530,66577273,635502856,209013504,628290915,841460280,650198253,708658128,57548810,663422283,421158175,787825730,544092553,566496723,972658499,719126557,678462458,488913294,423559686,659887179,63758187,696944024,191789154,966417183,88900791,242819335,856397152,37671727,636957520,586003864,17711885,355588648,837928707,492214325,649786124,235696476,419852001,105901323,441618874,607401639,871729664,322824259,760191644,369981363,20308240,132260411,584535042,997631648,537758384,643154628,671324108,714633250,96881698,311836526,529741248,271078229,726177571,516092424,913131674,145767047,931704124,506268524,934884211,308999088,451175704,177837244,376714224,692667537,877505787,536048799,674311877,670255696,78863716,973053581,351397648,618415064,769978106,578808313,410047568,826973812,741140107,945544631,967144167,705512422,412539541,631816344,13844949,551987707,31649700,266623046,589591912,67312836,522679599,994037853,891093250,801875595,408874898,249908869,199855115,182326585,65447873,43304958,688696896,852918975,29457803,620460629,524543090,902871048,894723295,48946669,894453545,672648358,493755809,26925784,337860831,651550049,864358503,239953127,378674989,938426050,964218306,786636101,387950075,348591827,195780946,309513983,162505385,299479918,743170838,616089840,4629427,663860635,206530808,493301743,520795695,715743635,60275444,133771952,435257607,577350815,31878755,626235565,531821073,621369130,14918810,877955897,52285829,482111654,758264312,71774503,328929479,240495491,991443151,364344769,661029631,965175067,733134538,509429937,547442825,55316833,180594550,174236013,946248485,688141629,262165411,361681900,867576061,344494307,486925798,197960815,763734584,233457619,756845246,536507183,134767853,520023243,5249600,695609618,587586955,641856055,262461253,998747739,63796461,579061142,448693490,470335259,975376281,62348590,502327478,887934180,277671390,55700527,517978804,476086966,810025466,416579848,996310124,878340297,806890814,474999700,163720512,921776889,569389806,266993258,426378326,468843207,167423822,13192155,945921477,561759084,959360940,803494373,641873434,789361714,292208344,150778150,211846432,386398977,527431167,342981484,637994856,232734734,828909293,396563953,929843649,873878600,686619520,633354005,860508589,530776987,842826107,159359460,413364371,318455385,148746792,55872321,942871817,680846182,777277300,109211618,203995057,328386045,442612418,583611321,968024278,202711464,884741285,262729553,299935539,257873823,315011121,773295512,390118152,835569614,444735955,474385653,171559653,540740507,680815301,799554360,714406280,851106452,150861644,525158085,588040640,24934673,836673444,146869215,751813480,718111045,819176737,82429331,899305849,783473191,607914842,828653209,753161537,320453453,806249442,412425784,126419306,793479317,111229187,446941232,654230069,806519288,579689509,136060595,537716062,894991678,816359418,236327769,829332165,988513605,188038387,722736465,760310456,646522094,503869805,417828525,647778053,718271697,645559641,250347753,377952061,956691227,110529428,932442436,588214112,803759511,378802832,313095237,634600506,315411254,368456851,99191823,915323601,535083664,471984372,107854429,59545779,98822874,347855344,618595812,39633383,65364126,920820997,665434078,583471067,266939431,754755880,930486360,179891126,866722375,393036292,697797824,451835480,132745311,219180184,774697413,604738078,913243668,134444546,306432694,299695949,76455921,840022333,800823782,322911385,897145029,409389269,412013884,699818132,416905145,55432185,530201486,729868853,758735932,977766150,449167461,644725534,880707652,83816225,962742923,810384611,461730774,308536951,137737846,916370973,508346837,7947347,712687865,431943768,48253826,188760312,354208703,442260764,115340459,685291907,894383482,449664371,563563259,434625241,129924932,807202670,830631477,239302116,704785707,926382657,286985399,172583754,56278402,245125556,434053777,214543439,850737750,180354992,691660390,948983610,842695555,943462401,188610217,101727230,751135106,419645905,974514677,704650815,871648690,596391672,713646182,866949509,18032943,647539255,196784932,967529101,575237605,379973862,962537720,91408338,867608392,285229690,433222992,34035841,166206918,121673190,618585856,738325109,204590783,84995179,956118351,601706981,736492663,246987772,204477313,684410600,534391142,23992846,828851467,761908263,609245082,332174365,58205600,243738682,844148981,70931597,836772188,568617181,289758840,852248999,919324245,294594769,235158028,458114155,857537513,634314292,949379362,711380407,134667184,231049763,626738661,536813610,766046157,139044278,693210396,140747965,791823960,649761013,138316888,962481002,330906265,588730838,895544205,972585975,460578729,628058488,875361941,446333527,523074082,479446775,919540190,197278994,797664533,251523082,794799353,995751194,563747359,462607106,758141902,459995607,105759109,729814263,218393614,587337002,18753197,453329204,523402909,562866933,800281797,28235147,582705938,273586723,33214029,779254855,609881579,822359657,48110023,924890799,454319290,578927783,912660594,432111684,393361063,536825639,236088344,402639872,656757773,701905597,700411738,778891135,223704817,953997944,957796838,167681283,52184291,551303620,466139233,886171651,739445628,846610333,119131626,418385351,974084249,597064585,973171232,671977545,594481980,530970173,114822117,23953329,416533850,485670485,629683595,637494942,628839211,62995842,202862925,923695254,752412479,228218578,74656354,485207305,962067457,592178223,440832620,231393669,788268414,331093441,473747184,838980904,680197394,454493715,717945255,811312090,714618831,12441799,776405525,367132019,85616229,701327735,206445471,460120832,336410113,624136494,276137526,254338617,318189595,638984924,589763919,448746083,403027243,205007848,300311654,528512358,182918960,331923866,52811545,370823591,180797898,235374396,296899525,405023233,720309995,369420783,338076867,649483558,434452240,93797246,407833263,141601401,695069683,672481258,868836875,825191114,473571925,169601259,307304096,484065982,555529522,773366895,261952094,646005111,218299921,654732982,283110652,392977452,873544141,915467830,398960008,57595329,153544604,128229562,977159567,901514162,928101,596555770,136685921,785731998,610623121,876643524,450230891,691265603,298603026,560095829,610754534,258504340,529262820,981436596,403302860,220312179,115493058,925724461,666597995,958308977,941870864,491431304,739811549,814287061,366209055,916689745,984169801,758183710,969846268,102518935,340415256,644204350,120734877,854036415,864386148,122548795,284757531,744098878,339087330,746681854,27144416,136575169,353567340,78910736,386113338,191281693,672060236,51108535,206713464,806080566,904623365,253557284,838667880,264379242,53491285,136322583,604542930,554489095,341506024,241850919,513214370,117242843,220133445,101932629,275827536,786668882,648815061,138918912,563634251,231435046,429235034,88612452,33710291,636786940,917541222,780636653,20600889,949098017,102517723,818409257,780195268,788024980,415139947,352553828,690841871,846814366,974641934,691129629,63590820,291237246,61071557,736323427,357549972,868138781,537499102,326364590,587220639,418513751,896669810,698382245,72594382,725153444,220038085,871606542,163921693,120025253,241770845,47357217,136507412,676031655,643155249,208289238,904527050,475515817,177817740,583293815,987224699,520356245,769806899,783404363,574325262,98642872,838488858,375511738,13957472,169985029,422478407,178250965,378753979,460229118,866572918,791949771,159510714,376445279,700931457,42832532,469227797,126151691,457350070,593685429,381224837,12898428,554870190,23179211,537171548,738146582,1769928,700659726,594764418,188805195,11976673,182783567,685407291,751116966,403060292,977346470,312485781,532577219,687526466,424133918,743812488,73352732,454226264,717281815,615884334,541736179,873239533,945203317,864028279,692337077,391962638,305424767,18257787,850334498,459066488,126306004,536436807,347469579,950384567,758719393,968891962,39934437,35499119,674268127,962230114,3236798,319653175,572995629,151082434,304159341,432473771,971275277,461816601,957962599,545119336,284680151,144333874,618095902,932917507,278599805,608910641,205847165,564775384,623859354,991150106,286827510,110812482,445761050,402493117,9102165,80809154,503908438,769295535,417165630,535392282,116452195,303464368,145164424,626490918,156138666,790252511,812334394,78023254,973026316,684464817,672888129,387748246,670379810,933804415,203287496,398958059,868058097,158918750,697471963,471171626,938936777,418574849,684272680,536664353,195243872,726497297,53471695,771544680,504081930,895964376,754771551,995118945,616539886,963061523,97047003,374176971,474961123,448338768,710030859,331562778,254858465,237599498,960847172,809898805,636293623,911832656,199761742,895961497,509687837,138529600,323829549,808277547,438588633,162431607,870806826,437483311,389985504,514672074,933258571,548897179,43497189,979097145,12234182,866275687,769868182,502224188,193225240,848361226,255061959,372499563,551495041,805719567,949048178,140195801,971703109,738299904,525771832,425092684,655684237,348458464,951887441,371720060,398051868,664503700,760440369,446784024,761995375,953062642,597811767,527247973,4976502,225333114,468496402,826238709,63301609,329428625,317607049,783503238,712036410,972362106,454108165,424886003,686830782,5577339,936250257,973965801,2140444,36448087,468860114,544621066,426178303,241562367,206216472,276307666,700408058,625863208,79266763,412093905,399690643,381839420,467850144,891184649,501956241,24373048,262139692,559109240,804459599,685326711,404703091,599124058,705638160,66010830,572382694,142393392,755617027,211256597,157972323,426272782,170355761,847696831,686432641,383382240,282582534,593709538,320752146,133156989,886648903,855759513,85513480,491658679,725486533,676320995,114846874,210181058,267633091,41505797,802469150,368384837,332907465,459876656,350386959,139301990,476515542,284084715,608952961,912412161,497156205,204280075,930784971,779122436,639912989,126609283,254803045,835189517,130235340,316733032,108977237,592160052,37559923,194568423,914335770,685720404,107547937,637317444,953315988,871460781,22332913,592472818,476939353,297916785,439299040,992445713,152212871,344276681,822954572,414689233,644588139,922214511,181235967,809186715,534838706,927285069,376960469,120421171,944612098,340608828,141185974,654039010,301901081,296186418,137070738,599074841,97389257,797992442,433678538,559504188,996494166,739448830,475427719,869762822,394867932,948262789,452271808,834513047,199150185,49650093,828712800,627921535,363158976,76454190,146135990,427597937,669425666,934284804,522926621,637831676,483300813,114082465,545888377,453056547,949172295,419258192,514041620,231384501,107162413,73173992,844227465,791239420,837866605,216244547,826610670,19449906,468624328,729637119,836224906,281505863,705697748,279335372,582478498,417570183,690295152,936613103,941382488,199769479,29332370,323861994,429166102,112235116,272958779,45111599,422460962,248191757,935338823,304617377,568451880,442521459,432216121,233999610,635146751,881002163,131782129,566256909,411335999,96899947,981800344,279218293,646961444,814063665,667514231,135908328,634464926,479559167,13326366,8053499,901327496,453296333,737690369,632593901,16736277,768217155,398071355,455319406,20732209,642669175,702322195,321919264,943641048,163523569,604140947,837388404,746504612,981439957,669071566,501080562,735676194,993993615,660724997,658015335,679238625,982401811,505908363,673436266,709620947,46276131,148724631,484351392,891626508,135667940,588451983,920108566,210473120,164587258,257897584,78366094,132963361,715418987,482733481,371780191,413850129,15539465,536690171,118445333,325068590,351406067,292084841,99114858,294398919,164521563,274689230,615947561,392233866,985684016,334590391,369483441,434626832,555283060,499384303,791918638,454703383,488556164,876860330,924345537,28765313,655633708,889124475,444366319,426514394,210665198,438034637,770416812,573475298,904958203,879680280,666883397,412068834,661612041,943371819,601381717,209406950,840725928,151935684,915005139,363569388,850895284,806207458,110967716,41915685,646848310,377072799,359707201,613943867,803593949,710470490,104448854,971452585,800074634,741153947,178462544,368493638,764001095,298633485,875307858,840634400,667643094,662433945,444892132,728864651,532977551,889069664,807924,742002064,866017576,654011940,360116974,283588474,926554740,153631244,492723950,813957638,106061139,684115387,317117289,559313868,300954149,172098112,745117159,912973270,352957873,326936914,51617341,190367403,855154936,103124606,409507018,606395673,786767335,129979253,613448143,419384239,212267072,171258435,303796924,344583355,908336288,485870464,639764421,74829793,264784508,726395338,372680437,202248279,333743230,731416931,188997414,688025043,5850816,895405449,274592023,365763467,47461045,622161502,55726973,611743179,373698512,382501536,854432535,654911538,936565555,358261394,338745461,523140080,180902944,742266099,515122874,906478704,18472792,643495385,212687378,50306737,162854659,116210285,215397323,435304947,858970704,945142858,293827102,699132952,239733461,318999582,89424477,962962328,670970111,700199825,594821401,287849514,651805837,996426373,603739389,995484455,80670999,283902621,905025733,641494535,440253166,239773961,963709201,87595318,842810197,721349503,378316046,512241754,716445867,428229630,156658108,263208207,404506438,356637324,331203229,785352427,231184022,603592734,173657167,488530074,520535989,936765610,856553595,319830812,187803920,500330895,446062724,550827838,662333613,437902361,867236970,416574785,201726601,573567927,868043551,243801239,745033756,246537645,471806556,867238304,958583866,482867740,576361648,660624690,535078703,594913976,903258780,359908762,900226174,585340443,916495363,216485045,265371628,496435409,726898377,41144029,302746813,380489301,605332707,513513567,677333326,855863940,673708101,326537382,372873872,648703632,307927537,754280336,62756143,756163237,639572402,872453641,445049794,933385441,998929831,196088114,896181348,518154537,163512885,403332405,207273960,960858415,11355527,362597447,655464361,347233276,878817314,891229215,501385125,97030473,839996025,122006554,152724566,349729655,761924896,209630356,617976090,705655657,670722120,172272479,693499243,990491492,262398490,863904363,923210683,28682529,759389037,174370056,988004597,755673964,834991350,144921258,420593340,506311894,973161848,157079244,135413222,58304016,496958845,588566346,535500549,119836563,343436158,799624665,597392933,406080332,328261411,948115679,600446251,941059120,607635504,368194071,584872438,262462331,426732312,491416496,195379450,969148608,339353658,446461402,466041038,105972947,79417410,58560540,300060929,732410237,151918892,854732464,994757575,895358910,153713943,55951387,8598408,802408915,107524404,715749762,211784814,956756809,946813397,610348846,36306237,946624774,841662139,969945009,759310763,474127191,88758597,694652524,141456515,141156584,161934615,328601789,151239441,433913175,124753,939319358,792831625,104331331,965759500,144222653,265703692,622649950,793680491,641485277,639262901,935068163,493022054,506865658,766466007,128909819,292847498,548470070,620197397,189770322,969859786,137679954,101547459,745346962,434736562,881034880,896325302,373049874,809467514,530164831,633387571,197476040,314216624,329011377,574011244,119582829,207882371,796041543,923655974,34393238,584968327,927853862,149250315,742545690,583840842,583311892,489656802,448754094,2834435,857339246,951899538,736705098,572840769,328095335,532707073,792022036,718214733,713143237,371481719,268499181,604110640,524647235,879705605,924568170,7835774,958515330,408752313,626595107,26987701,725553471,474571867,483130638,406157551,708720495,680646016,383006931,490687371,535979899,879403030,420058062,536275830,516180757,449225759,227880059,629632803,459688318,37597535,647290604,661729984,379879,673210808,655786710,114463277,49543061,898587159,11730702,186895213,490977758,968165117,450026073,358566779,728050844,471317450,559436176,650792609,148400895,751401074,818289392,585569299,519520571,220538992,630081749,733916306,948852718,592787813,66817993,826751458,192995057,414891696,411627534,636749010,713172241,380794287,430100767,271009912,631231085,15712776,955533373,263032839,59274823,145561183,778962443,409595079,241368227,305497116,612047125,170448961,73980308,475045977,891218969,414708731,693222833,459026369,764089741,344269105,972445416,142450416,313522221,587975819,21963285,243302684,963521039,951741230,148124676,522694615,842622031,132343563,667177117,901624028,936088725,516969275,578853217,195748012,138548437,308962539,335439469,571603870,421392907,872515199,358251102,400914164,255811698,328756209,987857882,947821767,978124379,143520806,228549738,277319837,404772139,740917155,189823463,364610517,312257877,506552745,497851023,402855307,276279337,274210177,804559867,471318350,308464080,309640295,261565277,775570410,300809580,217037388,118942880,290261894,589251896,972564721,225120993,276710948,606196787,493459965,746678313,143335555,333199341,356291417,512846878,715631057,97601150,244565172,241035453,804701305,563072490,653759253,830304968,763369009,403908899,37819216,953811137,493966603,287797355,233844590,678028934,284861956,787513354,425134604,132488942,641345361,819423998,575077797,200592483,2678552,773880057,633459454,418563614,392330851,53212443,112684611,649380531,328469427,983813704,615259884,814402505,935668118,581255443,729541466,655588752,547940385,296523214,198690732,246785975,37038678,977056316,190079920,76964565,730323231,453821513,457798402,623681788,805291730,685126162,321816683,649250576,302155794,142455974,505599982,354378562,929596157,273283199,463125059,886143505,420115678,366762201,154930404,861281071,170433470,395481742,422967595,587784502,656545184,467303459,318795281,28748024,817771840,360241290,575114910,564917197,946197544,618544260,562695341,431249937,234341302,783954580,7024662,257034295,457366561,732256592,616184899,706997628,156243262,741336635,546908373,798077900,694840547,382900399,6011952,74351086,482868741,20890979,844166201,5406679,695182597,460949325,948918620,331990010,250830343,330993093,413773690,518079844,671649230,893777350,433234593,113262501,447877602,171748848,786528553,508517418,206849124,179607539,873787404,693804552,133527269,338498122,648352384,221852846,53147155,5039473,518172082,635210705,450156488,352542533,58309066,889341414,339804847,182104577,986048056,629396229,88241540,718131849,680926054,693248975,960145606,798684739,689611077,965278245,606817738,117064123,135766461,739869133,26272425,969218639,51685576,354166142,21620455,708455293,579972830,639037404,545179844,462306787,41017015,406597850,957222892,253527972,646198619,41776694,931089216,723025614,126360990,990637099,423774546,806233157,804855073,646341675,504251829,95978726,92082401,496686842,402813376,605453412,562835197,445997342,675575871,930738057,659512908,335853945,264393594,756491177,623396826,75463716,804288438,671546524,515932979,608570615,175913080,699535464,873197485,1235886,754748928,845619208,7775689,445300472,950025231,587977959,121783002,613480763,563448530,189533576,774780941,299658518,415321340,112042900,405626181,770359242,230060980,923793704,511067252,13926320,753401249,377714922,106315129,864640114,32467658,67145493,942321434,361682231,471271200,569440122,481037197,360152106,962520811,608334954,254612331,494273414,494904107,143927285,294939700,946235820,473960484,596130772,675431275,944655743,108281304,824777687,199959754,242834399,688765874,35889707,678971377,930501862,645887731,306404364,120102038,570107199,221754217,392551873,837739481,195447329,669499174,498493729,127058810,171270982,693350777,24750477,621501128,779020574,137961706,596481080,505225841,649416601,330705626,819330571,100316246,648884869,367732051,528042454,615861941,940936065,654855678,953366975,187481608,13072638,811563545,176862973,522491762,495515206,549662553,231145375,36782719,413277187,444180605,756986446,203515708,356450660,222154044,853252026,529607447,867300249,732549380,219730350,718870401,112120688,770606473,102332607,962369809,882034564,651617852,561265444,268446713,939250007,969624108,64451741,952377938,883373895,132371322,139707884,641203269,32987856,984267863,695377651,57723811,737422362,430204648,720248917,964235271,999265669,565793202,161475336,872470203,385556983,640201530,104663033,718964960,786588872,940797799,529448619,163018069,524103470,376880209,640251054,97835934,228739014,548098012,899736858,339149079,614779366,947639599,470642489,417249951,316961151,414333711,258341310,360088804,675046147,470679507,285802352,57614758,452835053,525322379,970191599,89808854,571026504,456714222,419922046,592018774,615747648,695435219,230282942,282777475,736393158,19027186,500857806,328180103,410335868,421517559,188003876,848931266,833227144,329088548,213052606,373398306,69897169,517252605,87024929,719786334,246381133,564818808,443340473,952030767,677881411,28073688,313720006,258070858,419197606,678884472,517474104,441104056,25877018,998969973,429423301,58293248,893615921,831187574,396327903,69762474,275664475,331044192,586204871,106698065,247457562,661032380,101932883,447005962,830147110,269798384,140963714,577736926,678331403,12262090,7718308,382537070,861072232,433366443,918335824,598268800,194624175,815428099,466058727,931830544,618703552,810220066,347643021,478508217,72972744,538683457,998761021,657416269,940321975,469048308,633557531,858683477,985474306,510053092,794978431,836488913,896719885,23804625,30806693,157532818,624146655,476398805,387193175,244376833,87650656,888101216,172038950,852567177,756587007,905863962,555013874,328667493,961773176,321150165,788629383,700998117,651260224,965802674,734859467,79853966,113427845,608384883,810082674,219112661,212980418,124213121,537871681,888487471,367407161,330543173,180677716,495153276,974566420,961653137,656949846,251304735,576177486,749967326,941263585,28263370,548196683,189813118,710001157,164411129,393696462,834633907,666732441,260179634,539904565,189832686,383401181,487000708,672805381,207548254,404084050,604070349,338899226,833731952,920558768,436405367,560084907,879184661,93690221,599280644,345063158,611733895,353608516,792441748,444101403,537979629,658345857,838773947,779864149,834201101,479653095,691457214,718337264,491274972,402520551,104392337,926884884,395517545,254933075,727980238,882106090,347186957,20608694,280345993,599682670,287347521,39854710,684024577,532733710,940891925,988151524,63414860,969363141,732575580,417204027,381302365,700029604,703415918,268410373,224500928,615496156,200194768,681646882,755638019,266681525,802501579,656022656,415591448,507732230,943287867,411045609,286299838,388388295,501861736,794699105,450466659,436375043,425439174,290704808,429067527,427946670,664867137,352539309,458320186,78714192,447366161,212681025,588285688,566049567,245592497,587298081,662326130,666706699,702381884,7592924,138896928,155057636,776656461,422402262,57603399,329846427,818530855,871148075,877979407,736669122,170979261,170583394,933231858,468321787,22126824,620955654,462989135,331827527,781195440,843241523,553955086,54608876,595706087,718793510,73604859,260899739,821072403,570358702,683195371,593278089,12886136,895685746,369237408,874556913,597268509,565632490,373084816,972892219,284084779,994471530,951892323,436655083,184869456,39590983,950471416,797947180,792950891,212173316,972900026,737709144,20777465,997520116,627332892,932808769,678303614,435019578,726829720,511500938,514525836,876805157,914501926,607581263,127851827,96501445,610427742,419727390,750061395,90478656,494842949,54431076,858662555,497395645,493028117,971284183,716106554,670509587,289901395,415463207,126539911,957463568,353605623,315642204,374457039,564502927,518000656,988345288,931138660,615697628,749355521,279016208,121491804,163872656,350425773,559543267,839261249,647395242,954222185,234723840,650277200,93871672,187940418,967206552,449319428,939717694,538549072,154602092,672585063,101605166,556530089,588194428,560428735,600059376,505614677,168977539,725249056,714022029,619514652,644722743,385679800,941790760,811608986,30901675,677095131,804262519,424357828,935482699,499716783,980412699,519211457,368290666,950202144,414258732,620167270,139456889,594305651,68112144,900793613,399183537,375581465,139077972,706786733,848676550,568605333,408921619,833324418,205158209,958888669,408778556,674522081,61404557,66659955,517119318,220798575,342410124,942997198,759359747,453888785,320436683,747554144,382103145,868163749,973141939,456013886,729708382,554392993,457645263,668634903,919073463,461790106,650462250,189437569,399436263,502082567,312593647,225035721,445911753,135961367,964992135,839364616,247428634,776675884,513764682,294642958,487608878,59504588,67829667,268968665,45154894,875783464,256848320,197476740,541799467,578759351,976674707,965996471,445125700,314892022,744787113,410607235,431423448,122290488,174230020,490760509,637890779,38927948,695445304,659280339,530814257,520837155,907755971,188952565,519565801,568939429,191522571,729691675,568079039,18309712,390048160,33812139,402634569,167523322,567199770,830809055,387882589,743010101,321667970,223747632,679685016,740856529,59848359,7257301,542869034,536679854,426876851,974413622,22802000,76123639,34253152,357708838,349233243,130171244,760365664,715677036,390826466,485464569,525268882,692813758,360974898,441696132,312207247,486391436,142114675,658280508,255704059,423616460,378383307,295668321,869418639,4211304,606455055,396895987,652902194,248201178,846175223,307592875,68689032,109471583,41585253,618173530,546610551,650690402,150713403,62711242,93682846,919898919,344382756,548160845,110202710,302120498,283762195,607701279,865483098,429102743,568890983,158120607,600070360,996796751,159666361,919967250,561799388,652453184,612136378,577092472,459147191,460170206,659757661,681030567,462976811,597146215,577999915,149602264,296550530,595153335,97753311,762648008,64087671,436222693,721013187,632404607,208527341,276913648,360289251,510781128,573748346,209506769,930171893,103390511,188577258,993927050,216961923,456135489,632370952,163221303,503172850,93975624,765584731,761562242,395870350,556408824,55181124,499209900,125463160,54483587,89983194,432647433,767068348,670638831,705597153,299888368,386170405,833224111,480277528,730782444,314599378,664059384,527695050,596832188,523719703,540159396,1827734,343512877,254059191,790714859,942919423,241081502,454132448,435159111,260902280,81595491,505694945,67928147,161318028,341233204,296806228,449654063,142664840,110315501,589804701,244296235,622667903,970962840,260284849,486218971,944837002,813999962,201469049,217350655,721812625,349634930,111528599,904476691,816155149,89509770,145160943,816696022,442672587,518645662,203758762,683434830,956774160,251508525,830837216,313419712,461464370,606169250,494435991,147924710,376345341,655256284,713194796,103538203,80962776,592023070,99817335,302987006,616607483,381302266,934511029,972636400,272903324,720910635,520213821,458861488,580680884,693688209,545322626,754172978,276489538,107591087,715137357,470049812,412495976,429126691,206087088,760835382,574016449,25154295,703303469,420760337,711166091,78551339,211201451,919221365,683716679,495720350,1489083,127919248,952559782,574913105,273767648,452974357,696803150,735544443,923605964,230624645,813323993,432565911,842651514,328096372,523034825,824755677,785888138,992427019,892400498,185449677,573940349,80317066,952652231,372062501,88712961,925226644,824178547,806069142,414696501,972060445,976047469,1943241,593948567,85854949,462510807,733794811,607882411,199497035,901089382,103566478,73423526,353359450,886510312,29515623,361454114,335907138,396664089,604304169,54193487,843279880,645213498,709910955,960077256,237269686,308053328,85251357,740726676,130252148,757630859,62008964,55622821,840787843,488855194,323934134,178437086,755596706,237579770,781989734,638405408,28492153,472071443,768863297,449197703,829056366,863630980,685269673,259472907,578217443,374532904,54812020,853338604,257338514,536893066,561111444,398153109,188686358,908746998,19858409,468950810,337260851,658829005,47955174,363073945,942761098,337828130,830877831,341319081,645052767,558254104,475432900,92897661,736869237,507115861,453705290,8103596,621297911,334949886,89549364,650068336,166926536,396620762,944055544,106128975,328200689,921640660,187842384,278523528,667931202,63316543,798805414,389246196,759456462,781862651,203427557,885312024,507420363,32435899,650902630,543212033,284326977,549382037,401649743,635488515,240279670,20532210,745401998,279452968,604112438,192010168,410976398,943355094,606705879,954451853,309924074,118242178,823057346,450193989,142904542,460650256,560564885,442891012,376969095,20287140,648722379,278707732,117209374,217559502,34597079,180732673,75341315,547706254,432291901,949467342,594796136,413284488,189241423,188041627,804874822,461851486,494088151,994394766,23577820,424181067,624368325,280815689,923757504,954440881,437115018,368355517,438623365,945607041,664015520,268251864,10039328,926018893,949941948,636774300,882698447,29903935,11749110,482921479,5994153,92419280,675433980,187967030,522871804,6560600,485538232,717934999,47512681,600134529,364154985,929961983,210039990,992389496,886652754,585469472,708340350,147692530,728252743,780881376,778996304,344614999,862656006,290273929,61527365,240402157,697029112,874941917,69732831,509932152,122032276,453943424,753323179,357816985,237566569,806822296,176346524,889628870,451920125,436797016,47009747,827783438,164301943,378855140,773982429,403317048,978777250,856975997,102381675,263681982,105431600,392945628,191147829,410959457,352639845,693127258,604552840,290493741,12938023,782099757,526194415,843390096,476798929,645265394,925964622,34878746,591501842,71703717,976619772,204761005,103732350,751236564,926802506,37288273,869522497,766248350,774142686,676229664,857674426,76521517,208235942,507355293,586553827,685828354,108575516,299057852,155157682,768522426,134774150,346709638,516474602,632160355,343374737,891607539,750737100,792015439,765772907,265010066,67069619,105548256,411777512,322754819,288439374,287714508,366796672,101070776,157038394,9844160,844144089,378993199,949904936,898475096,59730013,454628782,813987969,218487630,123332815,548131200,313119730,678002330,528647702,42190126,921956980,484396219,105696027,312080216,364652758,126930845,70688533,429593213,942127361,28026149,988803528,149540358,72352263,198331891,966030806,318514174,653683902,408013344,319763927,272980332,436859647,660404189,454092514,576029198,23454836,333841160,410890535,108841435,106097731,560779128,744997752,49190282,21862704,12296944,315295697,318529598,862140561,19730801,871831935,97818175,280342881,826474825,631737687,188181695,916889024,323960931,116278491,411763512,945593964,75620691,253743109,356901230,74491,461054191,676224826,899985858,845906432,416058238,515440476,395773905,798359484,250794975,642980335,211944980,595445056,84146634,65105911,476238921,661894951,398878288,196789467,471907544,304816424,95596574,634376441,182169178,703562960,511957000,687358401,629465076,515072607,308883369,388190008,62450068,67879479,739189054,281683990,381182432,224503331,87094570,338271053,166002021,575824828,710383364,363830087,317693526,763695560,444389091,579977050,621292506,292171269,292036142,576908307,583158825,355141763,26569236,900368538,424912772,297803740,401465098,692951565,675614906,487572644,628278290,245504108,777142957,132725311,108269053,217465599,269412591,468720599,599053337,54776237,483125667,450537345,983301403,214983269,480505186,365836245,539034751,246994365,178130738,880124086,71621815,176828227,106982176,414203362,780390979,521956409,920724803,596177494,490056152,958227187,261272311,285649190,300332085,441304985,240464391,533649392,164238207,502114127,331594292,298934149,947669621,36751468,232522956,741957135,238678731,835647820,512663447,622029974,991843804,536217485,352734832,838182897,215689599,486477496,287584769,714126903,370223203,619271833,590834869,462693107,955149778,910383191,239414719,372593387,554289349,407608616,831634986,597245795,201235601,827562794,622103496,322527681,835031358,131615771,512222838,604527335,705351655,813184053,82116070,663014810,364896329,550609700,687126791,238474644,287184742,323887654,634876308,467773750,562857153,198099198,167047672,491333821,460577234,770241682,704386002,587002638,452318744,326462931,444057587,975586497,385201391,481913313,132476205,569399784,347397156,119448826,496990273,944347738,932211089,331708225,713392877,759466099,258212480,301576651,915298979,257119860,763561276,809372108,665090309,149701804,594211649,325639206,298523674,520986936,814054495,97740115,856838477,255841214,897575341,850972062,121307254,48812244,701609591,621161859,872845322,135688387,175200093,630484481,120429717,405822240,818492399,333561585,620603847,770001654,247363681,839816985,853031016,630698442,218699840,948490508,890784741,340850183,811334721,370837256,875285081,346867064,759138882,44896094,860240021,996786680,203095330,663479406,55627309,679023496,813841007,801648280,853477103,109264626,45529671,831357322,674888319,688589802,278490369,90713271,521838323,563946099,638454800,274324920,471110778,720349522,891361376,58837066,126968899,132779449,372878697,550212995,768271789,388388921,490611293,520729888,714010503,425367677,980499590,53682826,495814758,420209720,425398878,637592680,802478359,74146929,59204571,687020073,600045690,915772320,104776854,767876472,261305102,173080802,889442235,700394821,913551944,163358995,356012385,20836437,889116796,675684916,669545631,873234091,43643591,510913886,896915606,670586605,613337861,274447604,810969909,839071190,842027954,348907324,88169643,95965620,389162190,365294233,353038016,937646503,256765092,629695370,63027373,781300611,359253006,933728524,582093218,863710005,466720740,913645571,73393635,768988105,382849926,422095214,657963948,97538044,692109490,220102113,835937404,797274440,329842730,133698736,400147858,26257416,259742917,62181145,904229089,388469144,519008913,215499732,866810355,121597512,369821025,941069709,218655641,160226328,409153117,336544517,101259216,489175794,300287376,992784245,749164341,2445580,89046366,388248785,66474015,346576524,227382280,63271439,727220011,744583940,108069042,31350640,790439316,823055234,929789968,387337050,751556105,145534419,519287566,352444842,330076346,840679099,593565633,736330035,24958015,976674700,893633365,317059470,533037162,894170894,927997023,754581161,991362642,364472771,208485181,322378908,361671838,173979241,81552606,209426265,834925895,556019333,198221426,170669184,384994908,80428378,704881807,3593661,6573334,144754552,114947552,461728654,451694388,964977072,238226403,585543415,472709928,195004430,107335633,1506421,189522516,192666685,297647017,530803825,936143496,796374115,33331044,877735110,373495429,256780854,666405337,266424732,642194561,218778538,933301884,560458711,862667019,641270826,597489802,825055454,310991037,886716246,801331300,819686132,377716810,538967083,721233431,540443917,736405181,108878961,614085225,609650688,793930364,750643081,964600424,58043472,475618636,216180544,561389226,899874894,890924761,390586212,115841647,444324272,968327932,897277973,306121267,757235260,981547317,984408976,933568848,782478810,503705698,227520156,366931172,802643943,586174083,268766476,278658148,37789721,855010202,864026513,780859044,890812990,368123493,771935899,623584376,625916325,624700824,386228782,114220512,507684639,340450878,297399858,45731979,786502574,346322754,345148341,977686173,381465141,960637916,452569653,404815054,971199706,231132982,319193096,341019585,435491198,52940167,890561479,134154826,729804631,174736103,155227399,143146097,388636857,323059754,367354052,329389346,222308289,366840704,775083788,881243409,718043524,602841187,282168672,996385689,646079310,227344377,71242692,46212885,838422408,428386912,664362693,100226579,544958506,824252857,19555337,197705844,3370325,20915689,620549380,955517319,369067648,158922429,787727323,693109087,906417445,442401453,118666206,212861101,699529174,693802742,775385644,153536184,309748861,205434461,572291399,358580593,255183429,345737914,615682211,860712112,165165201,674424704,878020737,32346616,33146329,389321732,547301754,614722937,636962093,296216623,936539595,487557205,148332466,113187609,192088392,701326689,668156251,473199433,110849130,493153163,651492432,486136285,584213745,983857765,102083034,179594138,639270791,533560064,52237668,617203425,942172480,948509668,207264349,980993235,882855042,331402061,325265725,943263833,138095142,790230557,460522616,332759364,215231904,696654532,895661065,485737571,768338443,143834007,78369031,715480182,693304751,352750107,497185408,2523751,942447795,300229745,366247638,979614797,457280837,963792885,691321472,743819903,543788388,582935739,491631260,722900042,560189706,364130304,434732407,60869560,240234989,327131400,431354404,584870517,426661355,341572312,496353025,256219850,179538208,903373229,262869646,243539230,45745999,215034504,219065284,325162518,145914071,756078132,15082699,249267847,724457743,131756655,709646699,719684624,448066462,174534914,237294283,748572127,732240040,760127555,152306910,590786293,354965083,704223824,656864509,200374705,2383527,452395401,611883578,702291743,28505247,660251665,581619957,492688829,714298256,689841673,260247621,905630266,654225147,543682463,420906249,216940023,295195823,972740617,56721378,824712797,819681621,978746224,770375314,951445894,883044334,740303190,123859735,658396848,306381452,793349926,242463072,942836885,801427657,148508709,554498083,553057726,397332994,125026222,392847144,175666647,654252491,342320257,577296451,885432146,107299371,551511668,984317166,530511670,462401524,428062502,883017289,882702968,254456105,205997673,842550803,883475577,51583597,257508423,169601296,400333457,551645008,192117576,84841898,99631549,33596512,224702761,811524188,667180317,146653430,508120889,206559501,69242418,627241156,487344554,330354300,742646173,229226978,966146983,341149966,579037588,968431926,924871227,969773792,655567459,833370721,481360755,187527263,938923514,859136319,341243051,323888544,328098446,485872718,143493190,127354097,558364639,940054105,245522026,312419188,535690438,604357574,603202724,238375522,451369855,551622989,777113536,353551108,148824621,897163892,787118567,835224753,868124404,978863311,318984169,516507005,786243998,756725958,519329520,382069550,726336105,673036944,314855287,809979333,857615322,497763965,632086525,506845477,429090790,939618221,340583166,530479476,422177190,51846929,133174439,999396899,280030502,832076716,123684871,930810433,401218833,216824866,161760394,322801574,413989659,399632867,405322007,274936556,415787731,178403620,589775356,290509818,1601168,144754912,143545673,373928266,368590723,878872932,97010082,600303422,705718608,902996225,790289993,87617603,624692735,825189477,715272771,556408060,401207721,337386383,916549505,563513543,79951149,552089828,815068660,130738413,11673128,386126425,933528386,58175310,964007685,892528561,564738022,674705551,438209291,178102526,615044425,556943805,812673853,807368096,284142562,886263918,130311560,15890729,944567519,222452928,216414152,466215237,142021951,16708020,563449197,651349363,247087142,664239003,154194589,364609849,371122379,170254603,634904674,749839009,182497156,126840791,888781594,364322195,970994422,801257174,633513663,809688600,241600422,164467942,305190218,470914282,34861712,217859685,911379349,669307726,654280506,687427573,86894855,827724312,505143355,876224905,184027147,472225952,942661575,759292581,211679644,262274951,779460004,509335415,222788471,890122298,2485663,457665923,943755770,302538453,840242731,816058606,761123380,999309343,883258988,126298867,732641819,263165112,963564214,68520911,345626042,896294063,700530502,24099753,994019818,181983119,202853918,341250889,538910168,931148305,511343367,292780224,918370088,114772976,901218520,427136681,447266585,141521387,934492809,164704934,113228195,864807970,575177924,55857009,237638244,352920568,272892643,448511894,947639874,473477295,980573371,832876567,334488506,180502246,2667579,926665041,493853260,908430489,767168278,496559748,232989943,266544120,749282697,690366929,937139268,233068594,831929174,736739566,727045468,965773062,371713766,661706358,979640337,607841724,612573592,337131509,122530384,346218166,252738386,402912045,650099766,589424664,81672649,342581915,368197438,583738839,50024709,824583477,915916573,279240560,790247458,148060909,919816496,216976280,177696024,673713296,623364768,252499773,308706932,734633216,683751755,329116579,576084207,307699920,718036261,207495697,718824263,467510407,604823437,560787959,237520535,200288283,972596876,76041606,404206687,388291571,758236157,475568166,475269504,703208960,213125488,304925875,502024460,233120100,930681011,260235569,534784773,459685507,351343802,552396959,753404014,217165295,929798959,320628615,795057070,707534466,138166761,899116919,418097506,330595338,839062347,298487868,175306744,165776804,57775889,629015561,838168884,764475714,860993265,305178868,75508475,872411436,819931085,266973893,793306073,401603803,777150241,536363636,139947850,922371896,752902245,102256873,907289116,290881460,113101821,400500599,894313620,911494699,239336965,944458417,512154529,886405457,160329315,730082805,85485640,99262117,611245911,704135901,434894127,849356200,831961923,375123350,259481359,523297796,669473132,142420477,776309401,523684234,706139880,472202510,689611632,959583568,976517997,904880718,68276919,964232683,652509757,86329083,439739195,253834810,539377712,221754327,619743674,805569353,622923257,332163490,207568608,501753456,54831042,168242744,253588700,356703694,706830327,60964459,256051364,444735418,443350605,778741678,480965483,448239926,825414080,361418670,778509057,766004579,949666109,180237364,720493277,889353474,609610535,643973157,299202854,841892295,923691777,256096429,174952113,37460992,579635160,930008193,674772619,223516959,229232679,877028463,934688075,36673116,695967154,701633702,642075008,930139426,566911508,789317256,846376915,516290108,306063274,169921887,28663614,94398885,66035640,455852177,959317061,575941490,715419348,913017952,297555982,318473550,459066456,570968712,681546928,112548413,838295220,847734635,964279083,553568080,387997512,373410940,562825422,132025854,537333869,903874802,529750167,821765812,135162531,810993747,629049966,932315768,759525251,276365297,206587206,421837164,923536030,364735029,383830653,706426910,597353050,912534172,408520016,241381474,241959948,536939940,58809499,819547366,57143611,768468372,815771249,624232541,227518437,241975940,588806495,140319253,513104836,800619733,184823257,592576364,323451691,595372536,45330000,299675436,405134548,579137606,475131579,416297046,766734725,287540872,636347073,930603949,822285694,920249163,254442680,958829309,601831420,870720724,87291397,742381866,2228039,353775504,419403740,614699305,575177325,858031502,390153394,667231167,567415415,229643799,456195978,728795127,108203092,820895212,224531809,382719967,713011118,821354012,506570790,334414589,578416645,251787310,38547919,370034031,288451980,191857427,272695304,703941354,790194270,221349815,105621231,820066783,243458598,244395440,310989609,909875910,815092113,898862982,241159448,1296261,452049123,149478599,343661398,248083261,633418014,553161072,664630466,97610452,965474329,946391479,203230743,205961880,232915649,734262918,423821462,133643776,747079142,303219204,806389553,246554436,44527246,247570725,383841522,851527552,340236384,292862879,769897558,103663194,763486975,739692368,401500295,795508782,109523558,61633284,434619539,438516970,992915766,388568812,267489593,130757655,186140258,286667871,952323471,752237878,935848017,878307741,109018889,601394567,563482529,571999777,322626077,390909376,846096402,600190399,735143653,196835312,233498935,437596815,178633224,484556384,144762194,590861648,46661593,361771628,602207099,203561652,150419743,130284977,564834683,810698675,476041763,13636022,355284560,710289813,536185256,899216126,609060768,68988526,497756395,562852365,947561840,434860180,748728941,256552555,476843760,576388339,79097457,286291504,943030870,185050331,225573288,74761609,934719307,897073749,496878800,367622760,884236366,328496395,919260032,584022119,469228965,318167713,181561505,662284707,429180824,300203570,771659821,724977173,787883979,301894567,585785234,881804964,274799149,331230395,307487166,302843983,846587780,44447204,202469318,36206237,511684632,277516549,307472079,939080385,225766701,849930939,311384788,472394583,527915803,832195220,200077877,796096062,516491784,708719819,342934450,812498928,526206335,389347399,148204903,15454129,984873711,428957646,512757933,269747731,606281997,313802008,855946928,513112949,683315728,539858367,91354308,879165180,340090554,43228532,708742219,911530212,149971695,988428945,131583109,735401458,365829087,211828031,421143619,601238749,476819781,335582459,671069547,768184350,989155159,805870337,388145753,807171417,642895230,419971784,167123588,819677966,111163060,352757236,858616860,786441520,563078389,835716764,876846931,177740995,328312724,258150732,999457331,381137206,773002559,930941119,33331064,571808822,860224325,5169680,44572311,428506129,715544445,95366896,760678428,914902051,822799281,51839294,270529588,606751816,358002938,994201837,661340921,29504257,82806294,786556737,687179247,71880628,860013534,590758571,478196158,889139433,607486470,673083735,792292981,210148629,871020208,296988135,233098230,463974030,202080817,643689123,681727633,141195606,249765139,711030920,417679139,745849483,492218423,220908611,613301584,368211950,314933825,871266213,968142539,332040435,334231192,921237534,378894771,664142716,229317303,697854093,774119586,148802767,382102830,366670070,789535873,534122571,309711560,94011939,589926549,188834194,115535191,711162082,555925720,7002979,204269970,393755795,83598919,889087085,231054541,616367603,332172663,846354361,762904132,483978370,388053245,349375464,120420667,965019387,992698407,608212998,123029673,646705046,700986443,140089200,608882686,828866257,839379649,157327266,652885627,195294517,720232077,708097578,835011664,714642895,774567496,789382768,691386834,118687277,875135935,71172363,894427614,567968557,652801945,779084789,757904635,650130426,923491064,685599842,569616529,892586384,941009696,597647632,224218049,771556670,840143713,568434477,427421857,834610506,109965859,488724535,527432403,991424658,466773105,328668150,243222109,719929839,304734422,173288498,984566971,522176431,466762075,395098292,593833827,98854392,276443183,507344064,675117556,149691642,37771841,474639929,220141075,602080023,457835165,546781840,674934648,661852974,75086349,468540557,965844612,775126601,771689260,429699114,371626800,370841970,525603562,322408121,690021656,926277651,792721379,16272622,35485842,210387990,898597928,108645744,2122338,411426190,82592546,245267840,315012850,229946792,35764774,273148739,814845359,711749648,175399244,696448135,341232351,576764631,473822515,970752050,335225912,737781582,382496644,7594891,705643247,650504436,253528048,614337705,143988244,375320933,776355647,34118973,409615468,290052317,747616370,991319298,77343623,492351330,889219555,571052103,264197346,247410103,653749837,517908997,644968678,259191940,779786323,116813849,645593174,747223943,669162150,743898321,373779841,5589128,485343360,955151562,19124982,913191265,959180333,941395844,57177975,247733200,348242644,932809486,220801027,314342817,849078913,689837274,828320817,812512107,935871982,491117533,705969573,883338164,191921328,431054839,955886323,610036057,733194257,165461689,636722801,332074028,465750804,468435845,281400399,282961663,746820271,630074460,917511048,764910893,421072816,300235348,552676462,309288173,699634446,590918152,684936405,967946280,967174568,512619680,99143832,509732001,183734492,495372619,691135819,648986742,531741064,464867561,714753942,197139021,535870931,614757446,869709312,870406399,67617404,9532461,665321242,727950511,416493618,987460764,267632368,911455087,676717286,321418732,11414781,326943209,721435123,635384222,349346928,963909163,60519145,916205082,370407446,466782439,574824633,926709069,740768506,113442229,7099927,84276494,840923872,172624922,191484246,933722128,592540553,628852234,354826023,23853996,489562495,870293185,57272384,216692016,496486622,151222573,56892477,69034191,541218678,772923674,887714933,996255454,489434690,753229808,153655952,359026852,372931952,995642003,462555795,573333976,97599821,833230391,155796415,880422019,498213570,623747778,10257600,393879633,133079599,236923018,16209432,967195347,884797525,265378276,873268277,663377583,491378097,300579224,550160857,469099337,83868101,748082505,49856278,565885323,290601848,756941219,576053152,38689647,753409730,845067880,737596433,737716690,326247243,30917059,663643978,800967165,655075700,379185499,396183545,17045327,443155730,290198922,174686966,558767936,100406785,147259422,778019993,277061718,226951249,26011274,15131696,535899174,195883282,975962472,784007110,92945434,523330577,966222974,611528047,16453396,162138411,124157487,304154289,909044262,856171425,337183716,98122241,863543840,531080568,541100194,246561842,277479130,135229144,878675223,189501363,292224679,54657174,242082221,922715502,681909321,409630571,392113409,402072938,599517801,943374964,501999289,272167844,417319790,165328261,300527810,844672458,216509946,141248846,151663122,150795969,400378226,204280555,987794009,56750015,521960578,664746724,506197840,613830596,393932286,440269670,70201417,160493840,996595899,275357254,351930528,486991418,945286016,549429112,412112715,555782806,162316099,296837100,206012207,25357440,481480845,151977343,357652412,248345190,533804092,722314689,176960096,982616939,275331478,797803913,13590981,104029170,436774925,589004145,316468010,461980739,170244783,981474134,716620545,277327619,603363148,355457043,663178978,981669626,477396845,241670793,532933152,574585592,131785969,311376382,603434083,481091976,192072288,99957937,169751692,712626952,129418392,307211730,910058086,845955868,385565675,46699667,864248098,551437871,197447398,966503550,217043248,413667088,895134918,656726631,957185869,951787169,143911377,905649549,978293390,238054220,924931296,594201964,716282060,77895784,725070524,159931695,628579595,469318889,455314685,12780779,652005745,831500225,716871523,568703431,341115995,612982744,317635473,480886618,881743556,987465115,299557621,166997973,497051603,517146577,337993194,263795916,220726857,954944514,727356457,160869937,742894002,484894289,873105749,264300683,470101030,828410616,649834954,131310764,708815372,340464412,284525032,948060390,718750297,608238287,819121332,690457673,442092316,311572830,889430496,605093391,150639231,458908945,77062919,160065624,538556792,425544731,883991837,497783498,255807027,311584357,501770813,269053359,970462178,726903766,775357828,36082331,325059679,182992512,255348018,696651389,617717502,346072263,720856940,562149168,197332779,402881934,114039203,678561105,955531152,846893828,111671648,833589533,275772851,561794370,302337714,75522716,652442405,759656840,670438152,875738200,717154166,88492204,360820963,731214487,826149847,60136248,492581032,48401069,582886153,746082421,628459051,301513073,964931427,943822349,881602448,471077261,899039051,537271100,125285514,364863463,304738885,810734949,217525536,622262443,298060722,255484731,77270943,903089531,369231310,76156529,740081942,414904814,780670037,347410204,590085941,111809332,163678961,762224814,456650521,512545263,248460257,924684394,135093636,305759105,792431560,297965023,73160054,60953215,356429391,838476535,769244685,819076971,355140181,989750865,60697465,238913001,171875699,715041701,129116169,914905188,444205677,538507012,894534372,726501558,746750356,463645596,447093311,955572002,303904900,820498411,614198317,299601807,672475985,178329893,386898082,507951567,90565613,408052189,206031063,735769477,512330187,658469434,988204162,360136538,857806660,8455218,725382235,423369085,174745676,391247427,659798470,481576274,721609002,696155145,134764146,543546156,981562542,112395501,949402400,675883947,309908241,212495333,347638318,441209541,429208245,810701423,905161622,338946563,285410195,177610725,349822007,384801457,71583996,679740398,992348606,624275578,970495818,202958244,549899989,355193618,891539908,380565576,485567079,786777132,175571018,350228502,186642900,670911587,623604626,35961283,197941849,444438724,651175756,365739718,853779461,15479468,343423745,408758931,270847298,115704228,441298396,856469504,711561693,754271585,23230733,603922514,790928213,172902891,790489409,288302827,496632360,127693902,139212275,856095775,578240697,830556423,211371312,216137333,574601624,643039625,47447139,451853615,526473527,324910681,833191106,940216557,256952189,438936023,118832893,866666735,692895981,202717367,838461080,793432999,333566924,142056040,500648794,394128810,683669364,625600654,116238339,250517781,182900485,427175538,684114567,54652850,517991841,208053068,321004655,869524981,503126253,15557551,986350531,172638625,462310546,692730350,830874415,538007466,467568665,688214734,35635582,910572150,551848542,737790899,314129203,848213256,795562662,890237924,144281277,959918406,326788360,516676508,127183260,129295268,14861176,849229381,278317776,588361935,739228600,458668599,921049505,89684662,305769415,952522839,174783528,108113333,200231713,752854707,875611991,562106566,884732125,84445640,773011082,311306365,285960302,243351270,444429032,612119425,605613360,148132650,727859972,775426506,218757739,965869805,186283139,265651912,552284647,531621238,308091299,285858091,496561622,356903067,105598590,834172098,337784026,184429501,103680041,260411022,866912870,268222471,882691939,885800129,216761758,720517285,471827117,503656485,379784579,193611947,230617499,393598069,147872704,47832212,795154177,334416484,812608691,880233927,318271661,389366914,825446723,846128679,786364948,146390401,359052760,658841513,188786748,193229739,317841406,397940755,779133883,433548372,63169169,68198992,347732960,895531743,340262530,883829645,577687667,809082901,974856984,147195649,211503847,964963305,326018069,666639000,731789399,402456596,136500214,866543620,509551470,382859698,420308931,65053306,860155374,587342532,141352738,85276281,364810473,943359649,903331516,664664903,72762453,233735741,621234292,889690254,761570973,351172749,983178971,687758375,761151584,197501459,809638294,326961600,920557209,292709367,89133171,857600178,57601131,846460825,51023366,655520080,922782738,399704722,617942162,960947717,429122176,97534186,186054681,343987988,705646722,309696483,235932081,493382332,726182976,318921176,354494666,738291736,888761660,697356338,584807198,266813260,975682510,866908729,240093246,859579902,419350290,723804590,248681241,815836032,510995374,531738829,7294828,708931767,471288353,275554581,618558978,816952183,187278273,749390099,703631527,604621831,429506151,154142891,302263749,611545796,846996636,43594794,801839565,921413438,525828007,122589475,176277933,903890452,799404702,308100551,150631897,305282410,810160102,19465048,395391701,311613343,648529542,629343567,718329806,559516352,357111461,274287963,8396295,725989407,327415991,190099864,105927111,377603136,450288513,133656877,500766126,851238139,884020449,325151013,743169062,902497773,652079030,668378518,368995896,386607899,691214199,346704290,647945835,161377006,924157048,474027284,96591334,459468867,319762330,829990219,582794329,720027533,542448290,712524913,317718028,409626144,566929994,154869526,762725987,114903451,34519031,230779239,273692280,500305727,245412385,946397573,52926862,178810396,626767046,179518163,23796736,111524030,400570064,179070689,543990876,844081156,274898140,973996279,701255714,277361320,287179620,782401892,646999208,110750671,495036513,537220560,508259917,70677560,256037934,159185267,568087093,885847818,696253671,304208261,822676334,317873669,940468425,994816474,684051003,67601297,401219950,261683736,245892788,782852866,171908151,951625960,45067575,174071999,553856152,524671144,579325786,76781989,198115961,754188767,516706797,433475716,757620603,121182807,214891664,783574129,848486995,776850156,552864948,702330954,559557619,349584080,232934983,604905862,908307233,357069126,439021576,785155835,464802891,947499991,935236956,921709856,557576206,459424110,874578471,538500711,404985096,961299571,662645529,187108129,707013682,564861756,139054917,254934715,108146740,332654662,618218064,326797180,446502064,635943360,242264112,624446528,419804928,657372576,496590563,487422112,520487459,65002759,954926411,420739264,4629750,307770915,76050249,178083942,613797993,905776840,595481503,403495519,537391643,196618850,555136813,623974333,788305609,156975859,496600549,696842923,212423308,186174568,455889854,824159707,877694475,87778188,592755245,325440794,700036990,34435983,100302179,445082027,763969412,647203902,900999318,780639300,605114802,679171390,735548210,732261499,161093461,686410673,413103646,728683711,536976503,381454765,565448107,718075155,778796721,637835073,800609433,452390068,761330317,312139148,888760704,678280849,308320574,49932207,483223159,588307426,893664014,517592341,530807511,285954986,468545089,689707523,800292117,772152244,7990946,891084183,129210434,951134505,819426818,500608988,955321609,514431922,463864482,629546791,181577976,271996530,535077051,229462337,478501101,345534216,465204493,583777110,717878463,292950875,244663870,768202612,39017386,321258634,318946714,180481276,895538835,397071999,667920254,411635159,875946097,747823292,261573979,323812523,301870962,556806316,261836318,208149186,370451018,319893586,869934944,481834746,584462390,425569080,222748252,198928317,285395565,229135683,507914373,351151814,855402136,691906968,426792279,384295637,815344288,299476620,621787210,72688715,573638719,118159492,813317062,994846028,4518752,798829121,765741657,16192504,602114207,216799126,958166645,31378869,959813391,38799008,555998006,497116372,27872651,800158934,667857678,982254864,635789645,168248783,417541716,121571114,124069427,436448702,714468125,695824381,238411132,362919883,845521108,642908282,369896308,795794078,600607153,170322601,37316977,499898838,926569982,990917842,469875189,104152639,99860091,279168211,935503027,368338079,330131944,475639669,948780662,847346418,579235732,124880009,530392900,795897982,768824022,954123240,462406279,924424797,271196728,503132798,112346724,118022598,203211167,307096610,570181950,614159128,867605898,410742420,314167217,361318670,899673072,398413446,822289399,225042271,111860077,898337153,39966731,945479122,660408043,845059975,143399043,806008074,413451096,414416193,882411200,16467106,790011171,226695776,725643439,40797494,150773881,983952594,604341536,730296585,462680154,251211854,290187860,799818218,906571088,254653050,675372550,22801816,126530220,14992927,112264564,197089011,172244655,614451555,768365014,910822113,992760204,129105921,430226591,897497459,931249745,396653738,422624723,984091384,987436359,341613038,580252753,783511148,757908942,978700651,927146214,584752419,673605257,657736746,324743661,976406808,359282989,427280636,179512188,909630560,754288656,188828236,606197728,758084015,663095475,934501590,927520701,900522789,330291429,503860088,399510835,307728662,173252641,190927166,533564841,701766501,844110625,148396215,861656275,661961990,64951157,991494201,233129004,193781672,968119667,875042747,617016784,480017654,478798824,141272492,745543379,69825142,415018371,381816417,368776100,159288793,888985412,25290786,209986561,574212323,959608734,995090267,818328775,673706716,658366558,758679706,458933821,461397169,972451593,761393454,916773126,220517251,225025006,283461914,555531728,809655698,508845674,429550590,427426595,945744151,593790337,188549867,476709000,51051831,798837119,572177077,925240360,335418319,131390798,99192267,758080151,207985688,563466124,131095658,342935963,978176437,470369552,299131973,801073091,776822740,456306989,628620799,820493540,787041232,6243147,234409988,950735830,628679782,469878802,72828184,641006927,145431804,602398804,998999125,458603689,337191743,208454223,425335525,486375173,989392470,528634601,194727811,448152245,946919045,757048922,521692152,338281894,892459725,424895829,333941973,473741293,247440605,40670577,692498579,18670188,653396756,423016873,801403100,956227446,636510628,768939005,278377353,716953529,191407110,91905230,172073469,347664546,272555482,753808787,451551423,832087710,443615580,520424033,776052281,607462583,724575925,317633901,812609719,2123362,27338353,536282733,556556246,793860415,71892544,408921483,490926112,290977205,139922581,942851221,485979213,425565270,498526273,477252590,735288530,320511031,643534400,948761843,6062060,338082334,253569001,69953406,746691762,155047173,633969955,867499129,75974374,664091355,343328002,829788132,127356930,945528225,930054458,189130372,69641007,633813815,372877113,422463142,159493494,662290207,582961340,259523895,265534659,947062497,39193004,169607885,798633839,572503040,59268612,83391474,879046339,214542828,501727947,59607806,840194374,793431503,507318085,536940569,615228298,813658951,711058619,678188919,996405125,537014986,864962841,865219172,926127086,351716147,5532763,599119923,104044892,863462685,59128067,650009465,469558120,730585965,826619064,125531271,508194600,629206389,93682068,929897225,503854469,694922612,723810797,504102898,457409913,875128004,886435398,994570782,547788137,544245401,792116850,934845653,224117300,409765727,232696031,970537147,885716035,257918310,21766258,440238376,585103,175180772,961001575,217336654,750104600,663067202,593124946,702360918,205878464,675604149,624848659,37621198,353523419,44604915,414411983,822466911,284229964,693200442,201085636,66652553,678600220,857513784,265681564,2634919,830262353,419942391,518243928,973816995,508762293,915895590,955592045,647055065,397133921,18404091,318704917,234618765,414279541,338562826,172562464,751637284,404663270,411900230,697542074,500432460,446304358,843049679,127682874,688213872,718669293,573669660,139164543,940154519,711262562,359787702,281862412,171028332,513025326,680936782,5840703,540144934,205943106,875660770,966797941,140616484,363784210,692978019,746911363,973865916,21801190,437893652,171042937,304330193,120141866,312031003,604213879,186753555,443861318,260166074,878561332,378505876,545709446,526078568,542512918,764011468,740588089,127430507,748464746,128475758,628497294,567766730,763651187,520372201,918350055,122606408,996516682,343718057,243224024,530779607,816268678,155627972,469029077,590312590,955278863,464546808,750730596,981183498,372919482,178917821,983361403,669249557,530656676,542347487,300382153,640703376,862693477,915807583,754319238,667931297,277695713,567509215,304775440,156804645,748620999,96842103,395624317,877820303,352429059,963328853,596971381,334477253,542714249,149069517,18922218,725596522,195552591,77586151,574212434,487673267,400189355,602993115,42068555,333323319,724609620,92001005,849146586,912888814,117718205,418477790,916351977,860568965,989748234,588527144,762189401,662701463,395672053,301918579,566820522,148782127,72278525,330759668,846810129,842230373,97869517,593999050,761648581,94611834,747092268,369346441,367912108,329416244,247606616,616608785,325832252,349374731,991740801,842111329,662880403,623283953,92052232,27096275,727899619,173471258,42210095,393821421,437672781,975131583,170427152,126579046,974766557,846276687,776250462,577975466,86805397,147274409,661951435,920700474,185920969,881524519,232349359,32094884,629279004,724170033,321859424,561341086,832264344,941690320,884457614,215014820,48778200,38317258,430264388,247498361,660811849,731699823,468608115,122680988,996623292,448138703,921259446,170588224,426518798,740754664,146092905,774532843,999598186,228862194,728701430,709041649,451448124,12673110,398077222,10145558,574000842,307962802,164633735,674594144,737643842,483477931,89231851,419530854,945206210,810942446,227845366,279357143,85522573,672232296,273864431,582784037,458572422,230471286,842313932,492004802,84349535,688251683,75533206,221111379,392875447,960730521,904367201,31061810,163296581,950873878,725153848,34762116,671222165,421995968,849169075,618703,186087838,20310161,922578010,566849685,706955468,502341830,423849812,117956418,812811910,977188191,490623796,896035879,953758371,20300728,492115445,143626011,523202449,501639598,780326204,657805533,136989631,68057135,709013701,497984592,291850040,874372123,758688953,421531785,932379707,139446219,734803972,968566756,556417757,5463962,46411771,341517340,989855559,399889963,12508339,455826521,95298546,345834111,595281212,334367367,863876879,991293576,879939102,976284344,327078879,641312125,302125856,634283529,687025996,577241716,686084243,408475343,883194009,457590867,712527060,776312645,371182687,655550945,904302794,848856568,177566205,452421150,792891423,502564371,12889411,672824632,536746953,948121097,456829368,63791442,288392371,965655874,289551684,807489352,638193304,833786542,88939464,499826737,382636595,267970667,728557945,387542058,251870225,366082874,364439185,609281689,995299790,879469353,750492966,851180596,800537934,438221990,702619853,769710889,543253597,481424686,904952991,397822114,654196327,609656351,618809948,92345007,996960062,430542233,274110731,443261276,78953965,521766202,449397073,908735073,150108952,884455242,678736953,47316804,372658521,431370285,362278592,426954851,216869521,404442097,467814045,591484208,758169339,745515792,545531735,409355490,547694681,363879947,857024914,839823687,577714911,602666929,789701545,662097372,590304211,488943070,782049498,930522465,528568704,591409651,374185178,854180997,896823216,262625983,468893523,303729596,559170176,490341118,163740787,372403262,793491979,139993592,918225282,756453821,815732063,909032269,25113064,891333392,159127127,1166393,840245859,414020533,872426908,141314563,599041324,180593413,550974040,136434290,347624591,865955613,576917179,694539698,767459286,630089274,840961655,467525953,311803922,641187733,894988761,981966925,692981462,528350338,511788360,686673388,496634318,772298426,956085350,235110236,927824853,313660530,545523335,369114990,747756670,189413897,449317398,573911904,279377462,473420217,643309154,414783725,164413347,766472341,375564352,3070629,783875228,409896611,620724521,717720069,105232794,152674724,497805196,524588767,464225067,970217473,27051937,829336033,530677974,77942200,200871418,918048605,116441112,842100203,682209119,796679807,551970413,292813998,496884177,228168826,9002,383761188,513332114,913591088,356842389,455309386,887256484,148048177,184943520,141366146,761916048,721320700,461241056,243950689,627919217,496343154,444789023,445794174,311082572,730964663,577240561,557284531,347120217,572751935,4921833,550731064,221923920,496648484,87553845,385255773,356147595,272202509,780854366,618502161,39069566,448268177,829110970,812097036,753466775,109630295,798328618,303059905,239205094,284656879,249367507,608231062,195847211,781017573,253165658,364562267,623126018,895615591,487970847,697707141,170265960,885068400,893254717,559726357,1625722,191849768,86403235,944948865,711287377,509372874,185075115,263250385,754380540,744979383,48338350,477748441,74163673,554244567,744001177,491204009,499167714,275080218,42811197,127401543,291964823,435802911,185924818,851621651,731399711,90274020,51651798,942737439,681779844,500067834,997289118,808878014,720550440,407688098,90088994,239063903,872579987,349566142,658303479,966234619,597640461,543582196,465551875,339429028,976633173,939276382,803128839,363687141,302126418,215903652,523858361,456141849,462360439,270365611,902323608,445521165,149947423,487001555,685945721,806614383,145709319,736237874,23114099,271897495,190128443,727457086,555390860,121482675,533558919,952750520,469122751,934969770,491308568,705394374,892220170,108141040,294173749,901700058,871271319,824412339,337978955,24394837,753634970,152819050,845039934,807180174,323303595,504170844,543650945,270297895,193028536,372658885,195277657,205676421,458111431,771677452,577712004,49159036,460373024,719279543,798868864,146605061,822525096,14472305,822619403,563945019,346501367,601868326,553246801,639400837,640347548,442234200,466561620,150968772,955125415,622490706,676473055,303332390,293535747,933557448,599965471,211034719,75069761,699038114,832590975,452150111,853147935,992377657,700993901,307082110,544751495,716508988,419366757,682063811,371970282,175535122,874395662,17655787,832206554,78031515,964041370,142723098,699620165,544828487,486760567,893112412,225584953,284461527,522313086,615269937,20352993,998736261,856470927,64219025,732735432,642080958,640073139,317465248,221688300,469219361,957972089,85933514,309735718,911102816,919907858,115070615,31178058,809167645,361874744,716383781,480809679,386923615,702025629,167320151,310824358,996494116,383543104,546923513,266944815,290868920,517845663,479200236,401992149,110210030,552607676,416810290,722059195,787209513,454211899,319759993,674575966,25092225,87974530,655701461,593224292,258675015,209081994,894771806,87051924,290039463,507171741,352715725,159428593,186398754,495212279,779470533,300707805,234460664,727204214,130037421,882959932,758321565,630000930,826034847,100529471,629418312,572432275,440918324,539272300,331939506,501178961,745971046,942123480,747654398,252648179,902643569,308451146,961635599,117343205,337324300,259762997,772600192,153682409,880015690,893690754,95232546,266759478,176918940,246275248,658271850,186293453,705672649,263683978,626051807,467188187,755849838,902633748,284720267,119406929,589176202,565836626,169210125,914694063,27087277,904342663,896243485,392325398,869953005,540760968,783881365,862921147,683359121,962570141,993364908,536976461,218326330,557688875,748497088,743017227,49996398,990968603,182370275,594366378,331019805,428954271,981533720,998669756,324620898,422336972,257057593,205141622,823122865,956147916,560168918,473936456,904993326,488784121,301860067,625218397,962960254,72667017,494867512,643134705,908909256,843385977,376213047,820918674,155902114,340807960,113102222,523850777,920655438,574264621,721748374,716844176,457106805,549174571,586595665,260751247,99869410,64967688,170386860,945605958,2915646,738266814,496235126,660365807,797254075,247375808,83189665,515785932,742330380,854999632,931217773,106218651,51171932,79122323,34616279,778602816,38340453,848723342,907765499,426598038,818669292,437852841,641524398,618285238,382443397,509513851,447373631,85109722,213516420,287187410,771249058,656683894,552769153,411178129,170283963,236503713,811999692,293138810,848704297,571967652,225851700,789302443,278377369,55089922,524984109,427848608,490227808,128866594,769035968,930770487,257675443,298729820,350534085,295903782,117467621,873468370,900277207,357735603,672529134,918404338,67333850,911697447,837324141,32987125,477107079,872857954,728787683,602294721,241923443,852271160,279305574,61326840,811129267,246988302,92847434,407860813,283304568,113096657,359089795,896667524,50395879,120164435,785671334,720469839,29754442,750142462,118461623,221555599,51579543,553279296,864881889,857743765,811495702,115036409,721050568,632058297,248472613,248313994,556099364,675399271,733738264,650146153,823912111,544669965,78239247,94364951,888401524,123996681,558421372,604797640,795804512,454745770,87281718,713762860,128151714,307660553,761349882,686412703,25200201,57527945,66281162,127406537,164259536,407793240,805317675,874195984,599920498,230744498,150849751,46962750,785895519,223072980,502484905,871896324,25570927,90644733,550595474,331869624,362997251,626292815,796979405,253724420,175250430,236373374,939118812,783385614,617935164,345998203,675008799,879167502,207307221,341267643,474317959,484214276,677276874,214765600,162189579,666508096,288176750,951645052,248768513,290891530,912639250,117183593,964139787,330721584,107568697,79586558,177305256,492490449,82667534,879083243,235588250,348038932,109488160,676706706,377998612,564634646,567730182,239885339,642627798,866781427,452001806,416563953,123510513,212551691,382351088,842106733,551745212,177421195,555406372,798234763,663878793,620921762,795864421,880032894,44381369,19975347,121616413,758251504,172223215,389952527,409879132,887986114,505659008,721058070,42418411,736869077,755403688,970632666,906530692,398649991,39768877,21591863,314430225,950596894,584739521,293754949,566589556,863419433,98086370,410910778,674511838,557950069,153171618,451214835,946172638,483605291,941441799,830668948,381506259,550538814,934551268,95435329,344808081,14397811,631152940,281594650,761716086,617646974,474524945,131168378,418869157,804522082,548804490,59483564,696576852,288068411,827821,340371111,103482864,652972291,211771275,828376763,284256111,270964189,173489491,956489270,481662032,579351483,26499681,749038880,734188304,551072551,923958103,487405309,598958747,313354043,442854807,348805306,408244560,940915858,557713163,735365586,802402329,693450653,435181457,192256430,243158623,923696962,539951334,751580904,879217608,148859772,928162926,348487723,453346500,265954316,153692291,586855476,873795937,315595392,683110827,150406926,68609308,859989796,36062431,118016838,516267916,751436649,531973380,708293748,862623012,687119256,299060494,665064111,449743174,384920207,210687345,279685575,632824075,981323839,736849445,929213759,931124089,627625020,504334589,663535492,332513200,90241144,348938537,936694387,469595529,589409476,611533102,177047815,259418737,206915403,788703518,237631503,328527492,332886237,208258966,475568666,367149003,47280511,745508534,395204189,301858471,74941891,609374951,640516019,804974838,944011773,977949257,867863831,662435172,25002908,984433969,651171458,680042261,308491114,792304972,877840026,212163272,624573832,225444674,736834575,297592630,163249895,866801280,673600643,668149643,730097564,870604351,23028511,326701115,801693710,620185204,598629248,510299550,773077218,292294698,825415848,42952968,464518246,221993879,845045871,864108824,917410073,890221131,376969467,587603135,548146119,492748216,227484187,925724008,264203574,119367923,409642187,920034397,224044508,75103657,528504116,263007961,244760518,31060442,602872839,101544490,220737007,534642351,507584900,545711974,951619010,450732023,736293985,497186547,693795481,388597647,541993474,593172412,424481725,986986960,813723136,317811654,390089347,424312192,18389420,414751865,247872031,472378444,30106405,819092800,877672426,271152285,244873466,193675075,39504709,93020264,784813255,184003574,99171110,871377247,97535070,197769064,182091377,255486331,911247066,604820161,794209216,566617041,267105416,632208258,742913615,500593146,923435524,344462488,231510265,927884456,318340821,929581859,911201998,101374620,816488781,665631462,807052637,514143740,252741212,305621260,123191259,593027293,256806244,978128865,450506218,217473858,148133862,857385816,80227371,333614925,237986514,66555395,718029246,929257101,960731843,195024002,78777010,27156837,263930958,795576591,152669485,889684631,244638891,882639335,735806932,11033883,965668168,664779084,663144957,939821228,774831927,195862315,134770606,386001729,520388848,432356118,845307934,45372364,951010539,883740350,372678819,664683921,521944839,391306128,495706584,122410736,644112771,352965300,530056459,895717333,30398820,873301074,38023842,142393430,343086050,616339272,571334809,289408906,715675417,448462735,835320769,600065195,575101960,42833064,686249313,779688248,538476535,904065507,392193762,147147345,432617469,166349766,182705766,250858257,299181802,959034232,829440998,758451243,871743259,10849845,452580721,61893308,314831240,187476990,846325599,455236546,900354678,269408184,205083881,430817783,897442298,453784565,518856868,992136493,101334000,873190966,842794440,400867773,5870275,588661789,647339774,198368833,349757968,218523480,317276918,747191122,80812693,448932261,624440051,555441369,871777857,275975199,486710100,184894478,384705526,674821004,280145306,380622836,159627859,627988039,993095061,291873488,603066658,19536019,513529811,366756216,675738536,275170660,411885395,783072420,869117975,345758753,78848921,391406991,743639241,806275253,315789899,555545216,50029190,648113469,990213328,824624122,205898194,729176262,364827422,125990223,66120001,493114454,492924446,976085250,307121221,286131962,150916213,857668228,161612510,559565295,627754256,523021692,816618358,30675506,848101652,892865662,266124541,415019035,678471210,382967344,561809370,635014401,495741783,395643318,431852287,342919530,868841626,78921080,710226696,736474807,803945855,498045042,264103921,249753894,495180175,818507572,239823810,716317451,985980127,823226831,275432655,234899543,870663309,291961274,657162898,597432744,939756506,172567516,165107711,914749612,318224819,821136643,70992016,125809735,390877847,827364090,209216292,941318369,639694675,104425881,968045102,31689536,646918343,326568365,176738539,192650295,890113478,89256854,125684452,443303487,368970322,245477783,205143903,74634896,646143854,2313269,852169294,999624965,194020037,258517926,539669781,611579159,923623707,326491279,381823261,244952588,787701204,756990093,440642180,26146631,580141655,746429499,273932111,309739984,135288941,921548395,696019574,923068893,565289436,5920449,388136116,171002567,609108149,241582811,654088587,716767179,698877526,114555046,511440154,345824280,195657750,80400500,552373333,585575265,743185539,966720440,351599822,563929045,781918842,83976513,286092446,410334549,452153750,687366019,388848442,623507801,852834266,949531581,389347394,783691325,170384420,783851466,422966893,742529629,537249372,616935711,49807692,713369949,974385793,834813126,908231872,350741531,897258593,136111780,853347563,185165477,246499107,950203405,743912083,455451075,97756295,306848189,912915684,708212232,772775890,240863921,910278623,444241,405928325,459886060,702490861,982653969,935919093,135561545,19196304,127255552,435110386,387326281,506738300,847324585,628323197,967475008,82057568,267379329,563167247,287977126,11613202,993563246,228170723,3711614,319651328,311041799,461831748,827941228,951926315,148951144,59499195,935991822,998558186,611420172,142660744,858160176,410204174,912614255,244974856,263087375,791283669,290751547,290256008,612636638,14574967,465706520,35371889,768776531,114109610,27023131,198720726,382283197,681405322,495233533,504317482,704287780,265180206,580582765,138240277,166318033,653198184,53161715,523108395,838164081,205309029,661017815,186327553,300528245,474952187,557111666,412869369,166301947,20805975,405056961,984326663,516814594,416390658,729392748,830105295,862393823,621788606,816913911,105497473,746538819,285026806,797661511,385559853,467829901,870646227,966371443,767744801,604633064,176233498,154321858,618618471,700729818,969847607,559688108,6069540,115779919,109662183,685458938,215932132,545641585,750887340,214319895,388611284,208218483,999982131,449627664,232593753,397664975,832447820,990271980,959119301,199131798,860953254,956574771,25773477,340952798,290281031,553615917,544178837,734243137,907080184,183151985,484230941,409862441,808129224,266806365,126943207,106532225,909321473,115804095,144284677,461509902,822557857,182311579,601501455,305693427,546667162,682103742,985944518,202447347,250501979,972550162,595316537,35104362,102217869,57015151,782382350,384962670,166246264,360333362,360632586,642827928,347503719,707600067,428209044,128313657,829500081,884739430,165902203,926591539,128760563,916743667,682508992,935821757,447237097,77623459,718018189,401286300,50749631,769777622,819247412,902311276,822365049,694569300,143008467,753957160,669854591,990520841,358732310,82830351,76306150,478470292,614483473,874270888,614797745,312998575,986278631,344102598,284509359,154158302,686234744,703432404,987715323,137777378,31225042,471454937,861124055,317804670,301241975,114382669,275869364,438941008,345893624,650238664,497107673,790491995,103824822,329367215,528080265,626811197,622346995,410841461,242413217,907946963,533779989,709946650,993907011,293454115,708188369,38302016,857462812,382189423,422745415,527266187,560751020,310123056,266605567,381652587,871364642,488871430,389085493,36291785,525559348,388277587,31889009,220485010,721327090,327012956,651808614,927451193,392183692,58607752,23613589,235424435,340377563,962293871,931624124,933914858,571934780,391841281,995700919,344630468,149978509,127372469,276832381,595843366,131659518,995121456,471238989,221462727,706356188,485105361,645433543,462250243,339317158,908569807,663474848,957897853,237389024,371842692,704416310,416578563,832709593,930066582,51288805,924215645,422345248,3068943,106239383,661595305,16475489,12921008,408969709,843240842,691359896,44046765,187721156,262012672,246085476,656443535,588202743,79503016,150921774,733834081,265900360,64601423,133592104,170405818,985270691,590777625,684593968,426813443,575367758,220901308,772561085,397897571,384822983,687763354,282623928,407409243,15173252,927797836,72629927,790025466,637023786,219575020,628969976,271645179,682266456,900699959,69378091,41681673,339585563,261099743,724910607,203374654,64827993,201085634,833977908,208990193,351985728,368863205,217621627,369282667,540015136,148027243,234635117,175968244,701711659,52917361,268173190,562401159,47631761,543877061,110339088,248356027,979588027,270475586,664897175,947840869,641175256,88020873,15813981,602014817,490617635,263512432,51079302,968580420,155274822,147684866,277304896,620888505,304877134,715973390,764233623,759539863,366174595,534907434,851886977,491226509,286490658,685119428,917273914,968581542,778598134,578403709,815114056,352762447,824384865,700384250,111756178,437965590,117972775,264516547,389747933,180598028,443228745,30354006,802016089,436494137,825568300,659106260,408233127,976477357,456329418,510968540,248019834,501351006,162397500,963292711,61945607,402886570,214503111,916931425,378354174,785008377,568250709,973455278,277150506,778158299,999145362,817793615,686503534,655364057,375948474,348623360,61417618,529282367,235162711,899204330,449696083,303446738,925205970,490479981,838580420,719897783,17591268,234719133,178861737,445342137,904421055,536104414,656484906,681037550,227970722,526412622,449277937,36085994,439244001,109821134,994150499,509872584,119823672,326963936,52732917,431748140,321905514,137809379,645878746,519534654,897586530,707315307,23776677,412800467,475513538,861054591,942787348,597970241,134146543,298454400,886112739,518850354,152536848,356487057,392083231,58215072,408898878,346874228,500795789,716379264,79741940,978178023,243965288,900635733,382506510,844085181,268124695,666886043,548495813,360254306,47998703,382850456,554610249,384569646,27794740,577279012,550944737,266734548,801850761,673172805,326343749,45856294,786988732,272126137,349845080,399011056,747487824,317072123,405467994,232942155,483908011,610576462,258722770,162344529,708808867,357302648,823480786,599123050,179478503,695854423,647959013,474585868,568267149,15797705,851308527,643738530,169189291,112365917,825403954,169657891,816145596,94223817,998921609,186490579,689834965,533798040,736980973,417861317,65814282,767603947,129900067,778296804,917936420,594094937,400020488,472540212,431642718,733861173,587926658,983615765,625790395,6405753,852823918,195734144,925620283,86933551,916292888,412415225,838870777,894847173,781993892,543869157,172585867,847897073,194801793,582377752,1609793,376446338,802963627,985009524,866191905,114843858,568126239,863709467,378393874,64604884,519480530,649266676,964448947,218955192,3129725,993762963,370576823,872937030,627463598,884820605,911788997,44147335,965346069,262207674,919390586,272444205,367627476,322344725,512978915,749085510,881623431,410050626,720326991,319039700,672911448,493339595,138142653,87582784,931069442,591296875,351329834,483860229,308912961,65038711,182518278,284098738,362543550,87699277,37426830,424173221,122593672,249305782,53003257,586454737,745527100,335483646,396998387,330533795,176428988,118896331,710582452,671489129,57846998,443640433,923675813,298171528,831373905,226399210,591702844,528903128,757837089,473443828,816231013,398391536,316283100,26385697,518706341,261783009,159545207,102441409,420844610,315642074,123608202,675484341,963234415,456268539,495792823,979018725,731237640,506657551,566942489,157008177,259284106,808091446,168196143,218060779,346755943,273790584,864232653,121874096,204963873,721436257,541829714,355999115,839041842,69002561,871330038,703316259,899460867,746880000,443930531,196428636,943431923,759496263,969009680,19940848,853952590,29075341,853115720,316810362,273633078,711380037,842934275,746814529,726074735,847695905,123424555,907086748,340653784,729397221,887657472,150518156,762192886,946263030,468666973,405780857,300701116,939723287,683643266,793762994,496025935,296850116,821888180,357667239,519174949,835465593,535532581,589542288,157026342,357063226,799061860,667083480,863663799,538760595,153632530,509838929,835599105,412745801,828907032,27545674,932074494,275087641,439576775,894662930,658943279,523329967,209554010,80558055,402361577,224600465,710064427,356502077,630117178,371652380,861881399,442633776,61120851,536485084,158072531,704828727,649541888,703986629,802663209,909471264,160265643,122035306,260657388,427004404,569383247,980222219,345387609,817561999,224425902,326373409,520580041,626185341,252298501,30205640,112114095,96744032,522983605,694971737,58426113,276967103,808167946,808975816,583173934,277497371,561054644,314912706,520128355,995192265,776829028,942182012,709700489,113328378,594587973,101463065,61939557,987707728,868342533,269225513,974314092,577343361,433281548,340354381,906429776,141160947,752625782,656674117,153678124,480068883,482815544,984388946,487125484,781614926,81117549,816622588,101545424,789973057,507287449,76983201,149538976,51809920,729733734,197213790,637229128,305041585,883775641,824513531,289992210,593015712,197137827,979680691,892964752,177206371,117958025,878750624,21193918,608595484,828901742,33210012,434216237,628480786,802680611,691861473,777564316,975260603,806834058,725357479,993287975,627974974,528040199,729207799,572045275,302450099,574307121,495256212,792491683,387195438,396443654,295858218,777331467,143294264,264556938,639097429,445789422,501192593,153159498,444967170,548441918,777624732,821313259,88891623,987712510,890816313,422516989,150105376,444858090,273700106,11747370,94212506,594771269,594707124,593449384,572518008,353985124,955414452,209203546,465723106,977811415,494478407,887746154,474175724,563100928,942512059,305257230,313027567,461757553,352811419,64077880,139593834,847364679,176525770,353474902,149647468,870478878,382862288,728969408,613611041,779588692,773141396,283044674,306179080,484024241,813700969,471705700,497562701,342138707,937403561,311123652,66724132,800743653,859116764,843676270,875944567,194070815,538764726,16134459,68528235,633404970,862972980,581654685,955440042,552841500,939025069,805831243,713654603,347737651,481188946,873908689,348351206,301702917,267986686,638032508,737345704,534865941,326161710,747719877,737018073,310974831,822380845,336515966,151026183,780337178,548748119,73627987,414028475,224153933,441721357,717873814,276147797,258915886,97729527,978552536,509893314,31661604,835184571,320527343,530483121,14282598,118022686,991143762,890671420,502962225,733794719,461641918,797547775,568471497,461902678,182026684,83896393,603608244,464431713,612235636,367330362,405466187,275723792,387588722,578833426,612443884,711609830,751879212,682083682,718200942,338269365,215294920,103703303,923483392,687221694,57101337,239673640,466288023,545061098,557907021,60651104,617972156,449078939,618142282,664355728,730000640,535089007,928461272,300591610,580153917,825521176,767370846,995345528,435434380,853267792,356438840,217498573,207342346,401350251,208274496,981597479,445193278,670514568,714559726,785763111,428232625,394283990,472764255,168878482,195695330,545627511,14937665,900556562,382571818,292370146,158432772,245833194,708377545,4428207,158233769,114327770,453720450,783010611,440621064,499086630,944550675,391888760,965725635,24650058,527244752,193259265,901534771,735623551,536595756,180000103,965267056,355270923,877562169,797085745,554773855,959752016,373372613,250328407,988466485,367775232,603616214,41295181,20078679,336621416,77643804,634047072,351956613,923168160,73435134,187619423,729915251,398368183,562461257,927345361,536039882,502664912,178386305,166987892,252408222,885986485,5059778,686810112,327199735,320242676,824044145,948701618,364506608,997665934,155740110,83873719,318873339,212811905,236807453,542356179,491877932,982822368,278709608,942974960,356574063,408965232,457621974,52554688,585403049,931366986,669672410,47864438,395626722,280342025,459652589,298145453,374429329,878160719,489958641,500355584,124045034,677048076,215636566,178833959,599759748,57626498,592396355,338420989,761036761,544914058,290663841,344430383,773783267,819738212,348960205,135247064,524775977,820092487,432039675,569608134,393537843,497366089,64476465,323134564,130031605,18462870,676295051,324020603,360705468,56791678,413816196,35028734,820247737,70753032,512279751,405821237,426432029,117987054,882396610,792061945,738431152,384529642,471537789,250500779,730696194,672789467,786566712,804421022,297834570,286541483,609383454,377366512,641095078,25602869,678648724,999160317,624952790,218895294,832998484,213597675,981109014,89664694,422007755,990935483,978273942,387380626,252245742,70293588,827268635,828408041,876817035,579279130,92226746,857311438,132043424,808186922,409020236,60170179,156121724,95112452,695679443,590592738,864069279,531408081,257167651,643892992,340556485,678811397,951607611,811538058,23732209,74223644,332418840,479067586,898886617,485966866,609418612,942861682,811899138,935630154,869102143,649608730,308429633,797830483,604871566,227469251,266591981,682948507,731647422,156485296,910838158,974392654,192930099,320837702,136978344,155520202,161054255,817091988,368147310,768045830,652539036,253927335,100738957,56953418,362575098,37700042,658350809,257647244,443122291,378365594,566458467,539911913,838267214,221787561,490117007,704147468,388864643,722072017,395232103,27118076,137049222,402631763,88776301,692660182,89902633,935865892,444139243,55438404,185643914,111614362,295232961,467915126,719866986,907053448,394472097,552523438,952449051,983340722,643457566,889232252,246407159,469955525,49772188,480219879,742304669,776488764,538985411,956316982,877794038,446132342,713903930,33664499,968608997,571494274,363642119,598279810,974497150,936227417,528828052,625705029,13570105,764478132,451628070,368993938,206341221,640848858,869384070,8417876,830838851,210555593,413974866,391811094,709204222,588628993,861227918,313127737,569198441,323785964,301065880,701929844,290232744,182205042,28974837,219616934,242733682,688121141,751149453,949334341,755823040,308710298,128361709,458677189,461459692,212761364,35467879,72944143,207556157,968622277,669509521,239502366,962590003,334207434,784642451,4109455,317741316,998141182,661359310,498675645,19755168,651130992,225800952,452753633,154725218,64920166,338033430,931559326,779427466,268795033,410706552,938663646,525382061,742541224,303214108,761258156,639272546,636105991,732584240,902497796,885537942,417833537,5851744,653968976,967650457,461498684,174409034,399796865,739326519,665329727,493587186,681811587,17224243,21223856,708523865,762951960,317051640,126552626,174630180,638543773,786640932,372267071,953442629,125472930,312985014,536765866,934276619,464980113,90161528,267167609,186123959,325986714,473280829,405384688,2442789,582632637,387963461,128287828,32639181,917922938,543153830,922558363,67018370,837225839,195229937,56238945,255869909,773598180,805818231,734585654,472123716,622236759,739480571,377296096,293090566,392463909,644517261,849931749,924326660,959550464,651228013,776663308,664605959,142367692,818801260,395824616,139593472,536780660,531400903,628984907,539279725,21385419,379107316,536894148,604272774,92524053,729999567,800819072,881707523,51642502,307695359,999260576,798000683,181226543,140860022,487392510,72218192,646817894,710619467,902150735,103270906,796534161,976500066,789009779,230469178,779657914,260781576,60398603,856247980,99630394,12108748,583079228,764575806,653141463,636451587,759367608,322675751,338289022,795341712,664784742,401170379,988285352,270316285,683673543,729543107,883518685,320516478,635851664,395496384,840915559,94011541,935137028,830156603,686937946,621497798,507318485,925061797,239819169,429912602,124842310,802735720,1729697,173868093,639056145,689719650,599069285,173122950,745560123,449182731,171126656,56583022,20365731,523161310,206190353,898119337,17475565,439055109,130011694,238788848,804209188,920317243,333702747,699267056,755972765,402311988,88577603,627565459,782366459,267824975,907995242,865371324,3129538,335619750,720251401,170588951,886033227,699197565,930265594,705540429,235994815,243521613,498361171,341674566,71211896,191847674,234587428,592084407,380137030,448586252,293720670,369902633,560196654,913923242,635064285,813163793,286705699,141222943,802551766,592541466,850138134,23949938,447509616,963669331,19860305,965005323,255454121,714418737,666048457,691630944,470426733,328361249,152909713,278654647,531403957,42242495,662451098,285188447,485499333,195797838,230814982,901614650,981959542,235323892,292632990,963902839,631210721,939578841,740805914,714326562,526256009,633668377,546748886,929513111,194500454,157765335,316138015,532606572,141365351,659709709,390784716,430914383,447981479,544587698,880511917,17630480,192515646,952208638,55129882,254497613,98473120,326969117,410371952,573265637,892814804,889307814,379916124,166996816,500790050,694619558,180865399,327573452,469093104,291718830,683801648,764982473,285162760,238965693,730012811,136504334,78170351,738645973,35721794,531768227,546306579,268126822,539063128,368181146,552350303,356767658,862822558,236825035,245901062,950005620,14272786,200207543,745789251,590823229,438748045,899250165,328806623,859796185,942471112,176076458,674765215,19539085,76532989,521279274,99198139,143062465,66948799,839478317,333850025,778398179,361047842,372121859,721311553,888749003,986162915,510455078,613948132,362966672,786569819,729674678,479113208,719500671,843560278,842029480,752593896,57119722,50734047,784841271,83112053,346682949,935680565,41562189,115571888,59491888,168662982,654072449,511994066,116660306,850692134,679470741,992210947,657378163,742672450,278336229,677121144,908414218,630648354,968696043,113110274,835065915,969456603,28072703,713010007,660059669,372795845,251497008,897055738,758305605,718445758,543340135,185972592,982501156,802656158,700424345,46908401,227393848,375444774,310992686,996382757,669044641,573386550,896005558,238874829,556826250,503158441,730369368,888722919,239165838,414191492,803754171,443964965,115113672,949019574,236823349,819541128,928147781,246055766,741493104,747100188,170821001,454988125,757065924,820810995,953309630,289371300,984475870,885086103,702663197,414942882,589460940,205973394,662525664,30437093,394071667,779120928,846053967,540181623,469937197,746094437,774799598,951774328,440493853,733152648,513855226,542253873,494028959,787970505,598676294,548897609,78903400,829208183,244412972,171023288,420952831,765095522,634272689,548952917,646270899,133901598,793626108,51793302,29779102,252161636,228356130,865244004,826238101,153431864,518325333,918119949,888195203,941074053,924212342,254961087,796019736,970305177,115678514,464344689,487691067,207255571,165272427,617465197,415124320,424431245,697698512,899733962,3979885,734265526,381512308,194822081,296395107,746761812,376461751,767196768,900682671,954010667,309664387,536650624,109884722,212340879,188792233,615078929,141934992,708794412,804374719,123947989,701689831,527403824,405711996,195292771,121802953,593658881,417430339,473481859,760742509,175371718,988287313,886190826,900766972,321987960,420719472,657248979,554338386,914524338,556644170,687575951,762458092,445566847,646254269,257840641,179264137,995142802,802086362,576229512,482541705,205745820,902985362,349822933,27464766,545731439,659547241,811574564,632142380,318169391,97024412,207961425,603093340,308011588,687673887,881287051,733881551,580304198,177428038,417609178,741000905,996273996,475629284,584732100,98819287,306839484,570984312,598579955,660955940,381914220,819199284,626093526,534361636,784838936,636905183,585492871,131433179,428312739,651982950,560710293,783992636,991802116,901325956,305805360,251205002,515496459,862190542,171474791,304248990,700485000,200606709,784869043,541992052,582551198,157123878,781731331,388293750,412782038,385549998,376228983,551846128,231482179,530153971,344277548,793490234,520755418,330533344,356678361,215307584,306605571,459400413,383441568,964644560,689204216,979534710,694883277,965821147,882275955,615628262,107916253,391497593,9029457,660483627,679689666,32354205,94349732,758622883,749286009,325103582,319022032,549019161,906720308,575212719,11280971,974294009,62535786,270142806,179058980,960322226,182612352,261406643,982717996,598346227,961288636,920230032,464778886,867104876,715286265,364934480,487042644,496387487,273612604,203436576,43098925,394138281,740504995,608945865,679904145,153892287,522703485,482968943,44809067,127926427,417952047,899153797,751472330,486643482,296376856,941520378,985439073,703980778,449600305,603014422,845585679,265916130,331490323,270119943,75121069,569820853,861745936,663432421,190819602,942622055,736977845,499820068,611036901,711984913,786180879,350744649,889572168,144795605,390878343,277311681,103720044,402629173,266116318,447735225,537889768,780078962,507263575,194091628,285234818,946340962,113301419,637414582,858892215,605660492,680113019,621432269,411072448,743652931,240039860,981928607,239586485,322251677,598177901,325964389,398078498,411878298,816377536,879026140,649252204,412540602,247076479,894214702,196325404,370576798,700774592,489638773,807960496,773216246,380095825,918679592,492368130,188468508,555527322,458864951,218175635,743714974,862842146,429017336,279679773,501343645,441986467,903321921,55179465,741122043,321524860,39469002,752583443,255270804,931082886,167514543,469501974,831368157,997857475,691564117,642213397,629622913,220837497,610358152,958159760,850511113,677662577,879942913,255658527,139532984,798420669,924401063,668918235,723217074,252383548,6673831,712236308,503426254,229867529,545756299,203804140,149791956,558286977,798782293,97567502,978564211,326091304,363288125,43482112,957510168,95679015,564065146,328794173,472338718,560282895,618874742,800340987,437908685,366652048,563917046,688973070,676115523,452810144,321677750,579155289,670483367,227916689,637820078,829978986,246344704,345223314,914555104,634747171,831697677,650456685,891846250,530995014,499124977,245264558,307826710,643091678,998086563,680964793,547153061,805882457,665143592,143530140,632524070,152514254,398304176,72650651,273581399,615205844,491504052,301936896,301985817,381780544,271614315,798823072,482666467,270289148,774696900,640068783,373151502,964093129,764029570,600791217,327105083,586721014,736565627,977060998,646607249,196457366,218616532,34967473,412135164,340695486,563101252,185073377,976019444,548274596,311687507,305768053,540472840,501891911,614999659,785907891,483195987,103069815,371862288,607342500,289857346,97731085,633826744,430635605,669934483,870011241,697766946,804605383,834595582,86282460,835202211,115832469,222698650,86847157,351911942,594236547,875293882,38673256,383363764,953522812,124664193,162866332,225590596,620962003,928174993,681513907,970111983,582061051,979686355,384865854,454809486,871481082,193162923,666837951,871116344,630373326,897295235,42620851,831202886,962032380,192626465,538247075,128819974,931570693,88909646,904935165,640647603,230229059,614639897,430247420,923375597,840057971,333292990,162345315,951870967,305684979,896380867,358124531,420176211,169581374,865209279,310613339,946958266,728397752,533810552,744757210,532936875,848678862,578784974,487552485,412044578,691678155,415881600,797270150,622375844,219902901,504251965,154390411,208077071,542408049,429731458,921766567,235783823,909923268,353817604,643492915,950474199,320153945,472230699,192422216,921471720,523841352,504773272,839209353,983935429,470137805,137055291,526452230,931956992,862505089,140873535,231754514,398093753,655554302,738967249,894677799,777043008,808513542,436115965,899445577,812636492,514049413,449311849,470700296,177276212,306649411,714806793,652921286,383553817,145324776,480388301,899982764,114880376,985398376,393184494,94602249,764166191,992088079,937928657,994831160,911214364,814915382,149323257,59276107,367983490,942730567,225958578,181072723,902091773,791276341,43001654,529116146,501812291,486072657,655869411,211437458,566784889,571082261,691681829,674921493,336615848,999615778,985970902,733512902,770431106,394183496,782241879,838971841,469332774,463673626,576105107,253333626,836074580,336213675,23806137,704665430,255236481,647811926,705183733,542096975,122149066,443680675,821867819,267147373,871464469,910586399,263621266,447322422,492780857,345296599,738051177,489460014,949235438,567741578,748469729,99034078,613594474,435295578,613516580,644271997,732548457,20548156,817605713,625347009,294639829,938691721,420854372,200494490,431716587,186354312,402860548,420360958,957332725,222795859,317442170,302901822,39296985,729493432,831320067,488236640,967185818,975529763,601312450,994907778,909208557,659924122,522286840,346888176,585613906,800544180,81783355,807739560,272075584,996924212,999562263,56549727,281460756,766076671,320752584,991050311,461767360,262124853,447469490,906951946,211700529,387753327,720025191,546584665,410833694,354503912,486358245,121170792,962422074,611749844,249004017,617238107,671470407,357809670,818587256,789091930,89042670,42348708,901713486,229683267,847697958,905677129,823204548,414566596,770208465,434680123,689745649,980559951,989194916,44482386,10072216,1876236,12926208,315972978,896673949,419659177,509594898,756756022,481360692,278529682,297688650,897251121,877118880,535715338,985297603,309943621,450682681,813210698,18667641,69407381,531174463,670827214,604060516,985797527,678452097,601710151,716889037,643429900,244411962,137431665,730228911,510592494,673110625,941164368,565960456,12041488,945929971,286010059,540117814,786727687,279367435,484235407,310080102,880947352,108524130,301389874,88018721,814233558,793015391,152355414,207178444,437907115,535993381,909309652,816244140,705983374,146526548,749329537,258128717,137471209,32195544,817073072,441292564,531219489,921784089,563324200,637153828,53554588,956591090,750916313,143249087,653996009,781300326,580953060,166612221,988245441,333201871,903238346,183120945,444264076,355344220,803992898,494346377,84031416,414196592,449279932,652235740,211450786,111850320,564382767,521583718,339558136,4216530,409469668,577752902,954672617,569509660,17285165,10903163,830077833,638121187,745488910,928050827,244078465,877418291,803126650,718623475,112744617,500850820,794052108,446362045,623542259,150886374,729763252,877974434,183060596,940694168,906525190,80722024,646611494,856707670,669793843,297105856,911539436,968527777,683491913,316019825,286471034,455683029,193897826,932827636,252854050,435552121,84226789,533741047,192481530,50399850,11624682,963401273,807187590,552929750,790869438,671199226,731477809,159084017,710823486,540036907,105336736,800023279,625265725,511711973,1102488,649745982,43720471,560481743,268798099,23166152,589901811,15473993,673286759,989931288,789553782,855262265,332277602,875090158,296434727,850410259,782959957,996933907,531574885,896307326,135233308,220956133,997739626,616557782,472127963,624165502,491716442,797531014,359705318,567002848,501919197,641823953,363921033,426117102,113485203,52204937,583042669,175872172,254013967,411983187,311366764,38377174,641446278,565141599,135119152,896514940,798613178,859006414,282578710,600808458,76489896,188836570,479043421,162534015,337370355,714861939,322142079,455989086,326344376,139792322,948960491,485502046,211060251,313817110,726571596,691406393,349705923,965909385,116583862,902734263,579194323,80448990,703994858,675219185,762861603,844117929,919573445,733552650,268991866,313102387,227471219,908503247,933671759,440163456,526625190,474188372,125305430,903909878,6649952,713757799,345266165,61647477,582907349,831055320,581806417,338032190,168333603,738985555,780711105,902946188,283667672,157092601,385128392,991684410,216086222,251394536,700537247,312894834,788263053,676376542,716435853,633646839,520748471,931546857,6141580,402980246,481961422,525248735,912743020,430811796,347561404,614296042,646204201,582988885,743517091,134501340,903123432,226577528,658702364,163047848,93304710,468046644,94627669,854525972,241744676,679150782,250859640,12067377,448586520,813630714,608134046,795613742,240621719,476907678,842226628,812551963,233025317,206424133,750112557,939037553,498447110,794567927,208445971,152620600,4191693,313682925,603313259,139815883,883074304,504582331,684912556,568110614,800999791,146361373,168838824,712956285,194203785,39720313,26582715,430908956,388488644,366721780,486258045,415040526,658546352,221651997,199572939,601075301,992280017,916618535,973436190,99067514,526023013,754697881,365902454,129768790,575996782,617719632,780571723,868856595,536146785,371217388,307163006,793405940,755180542,944141438,494840545,589341553,616047103,67467537,655609308,712592568,558725398,358761422,918260011,840619383,547199598,784276270,864059457,645723629,369324790,451912972,85497856,205128002,100476368,809534303,529790089,680074835,154193031,203570645,902722736,185646008,152318865,995907602,835014239,348826482,289773143,601338395,529258960,184423589,869921518,328747025,74772488,713545013,486924060,780210602,383887955,113153072,973437945,646782502,410843039,264585006,530679810,815868544,192608559,838327322,149364836,299275137,118009157,166823843,452925384,606184611,623542727,801434546,141119934,701730570,985329385,727595924,44363648,621538446,474672651,318610341,150236847,973646155,431586086,299043116,246354524,185742668,770040294,367782160,320564786,814543874,796019999,918605829,363844322,843668554,224597959,662046040,7470391,792346682,728393240,210640179,963471392,690674632,871392618,681859702,504456696,548057026,897243490,943009073,541107552,436897666,451776479,648539580,420802727,607132608,457352297,892291421,679521994,506666830,981051652,854886942,219925035,73088205,912609785,449996427,236959748,925877036,753578714,445128538,460518651,397081320,933250661,818512958,223136239,530836886,137699630,253701693,774870726,468942556,881940685,760364767,887162358,906946134,121909913,862071112,868349776,800093873,796346939,428485305,406085237,939547589,360189478,710106558,708859361,381915696,830199936,912263133,314729984,176310145,383096287,620797326,180753340,408657889,822689497,244127059,421836576,684207483,481023763,715354240,356657331,636325439,108038870,528861049,766633322,134621708,586474522,920916478,64467511,655971433,675434749,606583417,594902966,694887943,544871557,205559012,10644127,614733962,823084081,872496030,430841590,984997365,764956340,126162875,986465626,666535361,816326930,201482769,650859439,978684192,371135591,751554934,299779581,809700107,796266075,801689412,652092380,650535037,483674233,207261648,423336008,985025487,706052647,911692752,78429952,338366830,860549513,32744794,878901920,556381842,527338078,333955603,206142212,581605796,743453178,30038344,272114661,106570188,328128734,517848446,755064292,428223415,4765392,896951277,98858983,117765450,329010168,522590660,337704245,780904560,303607458,646553137,649637174,23055776,390501556,116753412,382540458,520762439,265114649,12316716,887011575,273054026,920031300,525647637,922113464,742547673,230181150,309005449,295108096,422642957,658429068,430551297,355590285,994920080,519134832,997238983,653153425,830979648,744821097,254305502,66327595,771606400,632361926,948170520,882642156,213363997,533889186,47624813,883757861,519796513,127438503,930080988,96578747,842973683,155326116,238611455,289324931,650270235,275685084,904590931,882683993,636175886,571509842,466444673,427855773,847211993,366276380,897172936,175649775,166640004,698487903,904519633,712952916,157033825,736981864,388328772,119618470,791072676,642879340,98134756,457054610,934074677,619357350,781155571,756267639,700178439,470591204,133803060,869900319,943370486,400299595,515645301,848632632,105542902,687131701,67445378,52983265,699459632,657577783,609098046,999895748,443735751,666781907,687906333,61903826,375415805,772027376,17320594,117944693,780236860,576044577,482384512,208701323,756782480,672052283,646234285,336429985,868803575,216904612,338761092,347670003,646170566,499855316,168922745,163364880,289506466,261185918,892080408,912375692,937436969,180531187,469589512,323140719,345189286,797800309,534057537,639672598,109643603,577810266,71547236,130007223,982304417,234441019,651790644,34717666,174491682,490399777,29515787,387044068,968277679,327731141,544132199,172724471,482444842,995260581,846017654,484816769,494657117,742165162,955391639,993701892,747245356,981398460,316853419,282477237,271245385,564497599,306152648,428630198,357829377,864851903,830891378,518108542,916688665,446319060,979631890,897549993,343781351,584415696,570626055,410465747,862405264,637070170,697750135,988243966,879755885,117936898,730715676,585343999,615737641,651505725,64812626,342617416,625390245,786665076,76599369,137591643,640527855,151276807,82877723,402537373,849465552,190364861,71248406,156074777,272116623,233229000,654858485,915360762,867390005,83821230,240345358,97328507,551565175,799640544,518258040,174293115,774229775,795003215,668450821,738453621,337895098,982134160,421154505,970220939,77830142,126119314,760065544,451130247,180251354,828429471,505277421,695952325,247813824,55952036,107011039,390136916,132025427,50638886,601982997,311499825,606221296,767186474,499754051,266866177,174914203,197129670,806230840,361717617,887205626,991422349,624597401,488927321,224992417,551222570,810974434,146860590,608399760,162962958,769278087,301032470,190065526,532344524,187996919,437179967,489449000,765363278,808426610,388508289,407458730,157310379,275229388,943603696,961757735,500155350,362823283,80509141,745358538,334048707,986674667,481653514,720088066,794767352,570164911,670388047,293523859,811905565,167607800,662589301,275029508,724623591,130518543,597926138,356135704,256538779,157993304,482281190,250016918,37252878,855741536,621085920,529320168,548929905,515069835,81568554,286845984,795203796,442156456,294853036,116011853,881676509,510644087,257196626,678452186,824063243,506178954,319619580,342136843,815378008,582173040,191895289,181483612,494444333,647702176,239765168,737953276,705202469,802685435,699502734,105696703,395977294,303255753,307151628,989172048,457689886,956565142,890839300,648178330,297906636,665050899,422189880,510140791,25169979,22086542,597555734,690488585,723328802,127160205,739788036,54062713,501879612,33377388,851948736,138458204,706748313,518390351,179326422,640005648,391285626,835424489,893454682,316875620,448521294,48487466,936172792,258348270,257200825,897799140,331421345,681180025,36233726,595782953,190154382,873903714,579805099,803591905,988526337,200603205,207985480,213076704,450061271,516833659,245938435,318244649,830152852,337878206,770247061,591499562,741869341,998031507,29757644,69481142,853193126,152486965,31385676,57102545,726713246,400023977,366741112,465624259,554628581,346586740,725216711,40823318,407014742,365693399,92065192,456929731,495368501,719165837,754941306,555183089,370718721,477057718,555638946,870661501,222295668,621130725,349007763,908887530,298861753,274642104,135296703,525698820,664045039,798839003,488481387,718556807,102515726,820907145,98239695,252814421,807509093,484890912,385028023,498242295,680728154,673358634,575190108,69900760,248299124,867819168,768624893,272926716,774025317,741731942,498638567,899609622,543383746,39398391,991746406,266943739,6249874,525742344,432816904,437586062,177430192,353951612,793415326,485966776,451262695,822900058,974473111,985770767,35256174,608175228,111012505,626963382,859255086,667074611,476081105,25005585,656677104,943447938,310999786,662302678,307871379,496092397,703687193,261853127,920945583,583453699,353315955,93449561,400856294,497448462,419527384,503165916,570402054,770442242,888394804,24018167,384989422,526396764,267828414,892667165,852979539,921126340,388109862,302632821,67218402,520183305,631865,42473583,875811567,587678118,995824694,307403913,477413003,43637045,643086566,934508781,194434863,278519238,65697684,734699017,74345095,647440944,487324053,471288259,404305515,725484860,501593144,473402617,875357233,927703205,378525897,460643399,995457954,983732107,110351933,382207218,776842911,436892789,776478026,317492757,709901514,293404794,408349571,698847777,554047371,171083783,492991451,996610847,762323685,113510329,30397663,838880002,431091943,762375964,172607798,457232270,677099064,45278460,343643509,282625258,536386012,623572129,343557864,207070604,861780848,330391583,511833104,965356500,587941588,337025890,993047653,893757507,672069728,775613381,598565832,326239915,105977085,730819118,578500584,398057537,694244654,196234371,683922872,102803749,975923839,494999817,796753065,863892375,178765463,595478050,245851555,144123548,486316682,72750528,971034115,791098315,625161960,981414822,547863718,809825678,619238372,518295366,771946608,781731531,421288664,810681132,327301511,68400981,961865539,303987364,812935869,629615935,992087106,384044584,764838825,422725808,753265590,631445652,462290739,506992702,472954955,166943075,455996332,330052972,183166519,767450388,151919399,777694151,115624868,693126730,412742918,276339699,909723994,394123835,985644098,231096412,455939495,740444731,48714941,77890466,829855699,418294928,664555361,206530268,828001660,874766053,173358247,87577803,592437381,710160379,960044147,913323848,701377318,46124061,54918782,420168371,332471514,985092099,823399348,148399866,307383818,16213463,504372371,873625182,491035599,355905572,604229139,223841323,832213544,809051856,576426116,246562658,303648726,475713113,608345795,713411653,888314094,791340526,957322683,26686115,51274608,739073967,467320292,212273973,27844327,312936692,250128509,958172002,939444925,24829943,789897700,507218351,990421421,345219169,458579551,999240212,62418172,302875064,602065114,489975482,878639391,300376549,934341092,398829507,555651244,569867008,67830210,116511934,976691791,211950031,749615015,206366932,439818204,489308365,676442434,212643114,415783683,246774938,670542717,18229470,770718221,575125493,927650943,945829304,705015784,518411848,830943364,456938958,159519816,884411123,994404654,880211885,965379788,268527564,801818286,463878275,346570963,296150583,533421253,519799584,261107120,783578107,75750668,323045039,842065704,553132250,934115055,172493117,538664758,512418833,762587782,911160168,923967341,248955833,470174105,647715169,414552925,995787501,176515683,322124607,494349245,404491574,17216156,889146321,719918986,244003005,69526277,695234226,891023596,585643813,100434614,608979324,139781049,917796181,551474055,874197933,516895152,816721310,358740415,492566391,902326068,249923216,467968550,653410255,70654445,380836438,233868101,466952143,38058659,143801568,445048836,350920626,484240715,952709258,762473188,218610389,261956298,21050248,418963634,415553761,496409839,527711721,674519839,843545729,409402862,77673808,979049110,918664627,560700313,629109723,233956118,901021113,159067317,89409801,32571748,129959394,361073304,417040468,950492025,207292303,790947402,572854057,465102550,355581225,947651879,890480655,658086407,568202192,633151036,904720416,160157293,648138244,382366937,16670061,590902725,628488936,615628483,710398817,316899145,820020039,878797957,579239004,68407657,257158384,687972923,368350212,183696140,65715779,243837687,417290533,839661178,808931610,711708609,960681546,927390508,322942423,111333242,482124557,241502646,353908716,46258546,179195093,802890799,485078041,182647679,519492079,489804609,595355196,677020555,976007475,136361609,123681008,386329250,996829780,718018578,827574023,766047874,552808213,151079121,671571059,701964781,611817126,782061936,418257922,65065911,203739513,498954865,514866542,240946480,700023022,72041340,612723580,585572021,398615193,645978474,533267271,957736093,303625272,16044192,334142717,593750782,725026017,709596173,445444613,39014455,551926971,438923583,252232395,652149870,171242181,662343698,829821118,620437081,863574996,553581994,655462169,793786933,966681584,279613643,436537708,758154659,233406500,172493877,174761113,652961074,720739691,698553783,747641610,88165354,929433707,63511742,173769838,849646351,837219068,838766033,115908575,821430693,719797024,86977358,883285888,381497789,281148014,466806421,346048288,487431479,754295499,343779927,883719395,136352912,374892514,577691385,443382753,513771230,201295366,129400269,589116209,365044718,875909379,867537118,230125326,224437041,594977356,544791242,9309556,2403225,67329345,113974143,642521759,531456406,547053106,916954886,762993534,25827077,501109909,378502384,209059283,523060594,666768822,237304759,702984439,731413650,799665299,853614503,393660400,180808946,731750044,836567176,136492363,397960194,825719167,531226240,65845448,911491861,521893743,465942080,104309263,921015595,466323383,680318523,145693972,660226238,2002506,389946126,621208232,541499088,29130143,957437004,91616250,995991480,292507020,518811718,645439120,642088395,56278298,45014158,732864960,243021652,785767518,595740221,447430378,442037466,252310817,126463849,166078043,920439658,692501619,967062902,109703786,159358652,292888350,286946163,794465073,953896184,488696367,694447833,514077884,623698384,889122540,988330414,719823643,43099113,783347634,671180022,227811921,34734668,831445387,172104314,718903769,726053943,430235276,612957612,536751428,420009525,140318079,599216181,510389499,798001035,176714560,983429806,4677472,817201122,887199114,229220400,109743706,807522285,796087868,669220175,601686973,81102324,602514165,73663214,752319520,662264236,659862950,637704911,754783782,92575578,987404276,949971578,835385227,931470303,880576948,618263818,296196519,113105588,767714964,2278594,353673830,305173248,711802783,277857267,336268075,580185159,904664696,229692712,398114547,945075489,800710525,170378046,785456337,564328581,994896889,667945259,81001836,349635475,700002131,546577256,523288510,178830909,240298462,84919439,223369076,224624250,177534472,717814797,377129908,181061434,450944266,932216735,148782910,584803947,354754710,737323285,354999978,158087133,403063225,962796625,194293808,918848289,402965168,667782082,112424708,670411841,294868685,801715899,932495574,408765928,591638641,822866402,68263756,220210485,638843804,597246151,366206532,253487013,321148092,629169193,802954307,840715490,170104554,177789020,203018664,758495139,838387061,681785218,651264158,358689434,250791885,810478601,721794311,344711552,372846269,423598305,150952440,84748862,646502257,863921611,644845902,277811761,521487702,364861491,95604818,455611392,724318205,650255808,153628075,327581629,477706750,750700531,351309982,244853671,600837550,404174399,549152188,574079186,709846238,623164232,259257009,162263739,810210546,918124580,144571337,56788400,147905858,545729866,201411566,599456185,471622779,919007752,241080123,682835498,983937044,446435730,945906122,589737193,745709079,512476683,963627819,221027097,350768254,375727501,647316329,18683035,349547850,286667764,16293965,446083949,981094735,870927667,868739110,976661508,65175929,472726220,578139078,815300038,394781459,333888493,471377795,58901649,735836776,408504573,148214577,881363648,464661601,534174692,380691076,895416727,602877364,866918970,566691272,576641452,482543394,460418436,386704507,816884897,983259294,117135735,677645174,234213350,816419238,943285126,438214421,423243125,27865639,757982447,991362237,592722701,805752136,935959959,342668517,317421329,128037771,840852495,889166971,748591259,760492811,496882038,878296790,849442641,850883852,65236171,309272990,583222921,465397108,285670366,304452688,557657084,880389805,38641105,154228269,856397665,316154076,687898914,979320295,638298592,459222319,752088173,922102754,114176958,307032142,676622702,523860672,658004157,721684275,17195963,798482930,244434269,352554861,687326174,366473399,543754571,736830796,519908879,831000168,51643123,997008977,230670829,580627594,279305748,315248836,669440377,169524490,39199662,296718757,771893518,918588919,827816302,196339611,502277162,990006215,983852595,882289341,308527219,537569531,915782909,702111537,550704520,557828253,943698148,248418936,342955751,933197852,340708015,496074483,196531117,337796894,81549277,51086747,753467781,627767204,689486741,175123045,610898300,31905517,440962231,181523729,823983124,231811186,33296080,847182087,699255409,958890142,303676846,462048041,558807079,216810094,819465833,248355457,186660198,759307899,711783195,228017511,805108908,835032343,505821695,312222322,646057774,268275680,427320464,828525775,684616028,512062368,732444731,590402042,937541389,827410738,263859008,264133543,48811408,274824270,317370719,903210025,965159828,286933033,20439728,547380658,487372701,753492677,78901656,585010131,289998581,968890289,76190630,842697153,948092837,90707981,105540581,521186842,596708234,202486108,318456535,51046344,47323987,630682720,388059705,906762321,772664000,271319623,14953562,305819364,638503283,326860453,263627347,181910737,289239205,578571383,901793231,18876324,770705189,142064615,916913729,395193970,250020153,18744907,736832061,151920930,341648633,177045183,186598794,549474461,486699745,602504200,667460303,652473499,505572411,692860583,593697343,621654860,394110136,796158926,313985101,136154999,281335981,438855673,201569225,162349639,755011712,655934239,825405401,723024708,654813557,991335689,130106891,133673409,461861464,980669085,162133069,803292025,808452056,230956484,727279753,375662963,182329649,78642792,174795892,145421651,583974269,412805246,70489617,162412821,759849388,326291212,47796241,910063256,784650205,347364078,372181798,584482250,152824871,206494068,24226320,726132935,420496386,862292314,227082843,559714901,557205438,426979968,494489599,502235324,1711233,294512699,289442098,755596690,823002055,146867568,939604013,776068590,337101256,726027215,927277631,101217214,2515924,401913403,160036808,577545223,610757467,674452980,514749692,199524,222878231,462852188,630981576,511133957,953247907,716652086,665797138,995982466,197985782,109395425,362333439,203926749,841505612,453667724,930855094,138607912,284857710,891402800,808647926,372376871,451961478,30335963,212408542,931647748,880732298,909292898,715618793,340196968,627092366,991879998,487061701,959082597,803594579,132378013,404322236,534025560,863166986,874609411,971361212,435274099,808426375,758540072,618314760,542863883,369970344,924780878,251028711,855973225,968439363,688679248,761133170,773706712,160145093,154955355,85535639,113676056,779428221,890892940,236765627,936041824,422337656,733034539,97889174,789154270,988986140,283635521,686870549,566448216,926944547,130856677,477818075,999051991,142908712,780469103,955418446,12671596,203508303,396308488,15958049,80942206,998856618,286366185,773185030,337242896,247068161,572397404,959747069,780375337,920473359,762358669,96348666,191628956,359912500,894377997,383531122,992513374,863114411,123223475,331117281,111454815,146068159,17998919,792081960,324095230,740738385,4538105,23760733,361416907,112179756,640495097,711389633,393175299,904470866,849687846,166196956,854521106,769661475,431616954,47225919,357753241,100502841,435870170,522505406,787143188,777281050,544006450,115850087,776187856,756841900,728363744,487879185,480237569,626136148,680884811,198794370,600833948,312835782,86755558,226055073,84841663,799070048,110725383,507796270,121213442,914122816,236639969,91225487,509205021,241955340,554195290,102788987,532764824,235979035,998199025,519521535,708147275,370965510,717195102,287307171,901568896,196770293,789106566,788021202,320815433,829344743,510897421,226210105,889983693,748420295,269793495,605485694,998344298,417777609,315159805,595333107,266213833,817869714,84565829,26254617,978680066,642599485,901946470,883737561,490388772,620297946,769128005,471259975,878969186,915349389,489046350,942542467,658807378,585809855,28095267,32487163,124850969,475871183,847426710,540954617,845394691,253340775,14449069,221867263,215042554,88127131,396013609,207768642,828687069,323677791,172338493,390096979,435490697,720454955,597604713,655675881,103210493,66790975,385988438,721779116,23253398,114728284,742143852,227586237,130918121,715557492,7489087,15348326,686882858,985097392,477011273,471349465,948082076,56048970,95307897,879641798,236062681,418679563,595683699,833377412,241666732,500347542,179639676,748742510,358838083,700083763,491514724,363817309,796484073,352543013,692281114,853957450,848210620,160490076,646460693,676518066,532161387,568097782,955767818,573567415,224496004,6956404,711161963,720761647,862038307,283740191,463515502,500709594,250943765,26005570,966322209,231094183,553690511,533821231,938893141,959012379,36426698,759199812,674926136,997232536,215452537,712321224,522709672,851734082,183284157,685126017,316258728,351785484,26090119,847797045,261812345,475486673,556190962,105807444,464714838,827565151,502851926,179000117,38179848,831576208,955753969,575065051,903029051,286214098,530212463,158068856,559040597,442502743,162096310,14441422,549209899,687095400,187906450,589159800,874658086,744488200,683596034,13475911,600132368,619066920,764773595,381069003,348340709,675278253,371895550,581459614,614028431,639445191,794266771,256171548,745242270,123406029,608590605,827544780,720304329,468994185,556249330,627413,483246293,54452325,104175791,555424203,166577823,488132449,453713239,130091690,780607593,880774575,13466214,625531798,732519845,86631301,510777233,33188062,399558906,355647493), 81317) + } + + test("test4") { + assertEquals(Main.continuousSubarrays(413731335,708336615,580085319,965787266,153396535,591706899,72721949,674953891,25636195,948911655,310850223,386611508,121141727,808100,298392873,256726253,175205914,187915309,657868217,431814216,270931564,482808416,846581830,969190130,202954751,344941064,305956776,519071697,98968590,316288473,771386513,321406714,666237611,369058382,125237637,797497392,5605464,40734473,275360753,238178478,800575742,719846386,716241553,915332913,721102739,941978111,645458450,171452992,829709893,754359272,673003152,644744845,216541790,734948943,683613208,838534829,603081028,815431649,352087711,140211730,293284204,22469334,897099441,791488292,99266880,979355467,373745765,90037547,961655046,309461745,193364737,124234102,582986,857155781,228344949,278300939,171852962,238194209,602079420,325459203,761636070,560540757,683762146,536611697,108084330,89997168,174648446,699417636,368273871,239270231,391868945,609215741,700049755,809741386,817163827,871100123,346868100,861099090,644271475,394272061,490454401,644394657,881767225,834599122,287498283,375092578,420342855,4000933,211111295,212319923,781867875,267537512,341625517,413656489,801281415,594434,801007943,321374765,907027605,605118147,336984727,279791512,871713172,485049515,153294539,197724101,978374901,553433438,962255541,915612957,249146722,98268937,762756724,345221529,29371830,214098867,322318837,111719620,673731698,561512126,450358741,930383888,694012077,721782616,915076595,700166359,957949767,620792132,357407477,144854746,967423508,376914401,149002547,512037393,356617712,823634069,917894576,234526984,833909698,801274627,237940936,361945441,840951465,88002496,113299508,183236224,223963566,192532708,955943454,582845092,684863998,974926659,434490852,666925621,951922254,948781769,269592311,986648341,785123125,838865814,943287768,584171302,28570371,631314234,781596115,443217680,333204827,241415409,213999286,413781985,310232141,999044622,628588643,978380099,824326324,797681320,156693224,112145784,947601358,950562974,494537697,402120769,7114010,937456540,567410413,128875397,521652145,730976213,867588791,635633782,39059846,110144999,670754947,86063238,728593109,354849737,957362000,748743772,770989822,567276943,791676823,252069739,956291521,293971084,732418410,573495473,473709615,151288094,178720569,744989963,775285848,106362128,746619571,630679516,335103311,886547599,427348844,788963434,720701036,316032412,488895813,508908871,980926474,38871807,25448939,743692941,975164034,305042452,386000934,292726712,271695008,870759,105884490,94235554,315968749,913527536,925914200,744330646,958804076,145076876,441496119,402285014,172213728,169337806,861042534,586556348,199614766,236678927,914626419,656747484,536165158,199529608,396479791,69286094,19800830,903654001,236553158,747469314,777537787,270415574,149388146,74400287,408750353,289661278,321944803,65274776,792999794,663706642,175482094,813034331,992430157,287882232,438487982,427977428,612396567,119920863,940603084,465669645,162707962,462939356,878376176,930982098,606577721,926425328,406992069,669793207,545976193,728185279,796354077,542883079,181147355,465623475,686865566,663350157,63513768,137935593,917565590,886870659,11445436,800849397,470104196,920935548,495365622,956450015,448479631,3029746,829993242,637419854,275364113,366817830,225756186,827038380,237179227,950321772,751840365,118100349,248412969,265898443,715451284,917768105,304928619,842114964,385856998,321836303,299829327,840288592,330976027,109072258,788020064,792750432,556960388,916688334,200152808,996937287,855926397,676215528,212492739,649660265,970060576,267597002,167781870,206955139,430916249,748609618,515896812,803033637,793689075,548534581,538324103,183411531,201243818,599537504,700391144,557911654,51996414,548944151,158261211,616006451,111582550,621224415,340902531,943885077,743256658,196911496,872411722,976923959,955308225,833507771,24017746,540185215,163122054,943017611,855797206,816165484,374728161,982580543,494547501,715216836,871502321,182940591,709230709,557987404,392819334,906114528,398796636,565543554,537027209,187854476,279930917,363397967,229580194,24015436,39306439,668000971,422475936,959728478,429088887,344077326,419642544,30275043,894648164,681893497,60418295,923875981,478237376,53166924,256824820,120238770,76801085,850766631,343951556,551986164,15782546,612560189,817881999,902536232,483356197,768100923,835058136,80866190,856731801,332392883,369822756,599059558,153250436,677183121,799588468,276867444,571407204,347549505,278312466,966210989,200557664,150037612,417386225,824570285,342316941,490373184,484095345,885418724,106013468,902998002,576464868,212026191,134921934,264730231,173416926,426686639,496806619,219824633,93790039,650501396,883577034,109886354,19184042,583601582,214197200,8849132,908027782,473886796,207044992,76840755,835555470,998541685,78688441,2827655,714460831,806380957,556238150,702580286,567714041,243230630,86720563,62701673,215853615,78188446,691994899,116965365,900179597,512174404,757720584,302245326,929726034,773131145,122947131,768574752,461913631,545297838,711952955,799755660,667207693,387016143,753348286,158279966,716779547,609894386,437866035,97646589,753477047,281498129,591705538,46827770,32682921,858190303,665669424,45444551,223380929,878307807,736007544,861020535,590178625,634284662,399756223,87368198,886429843,686766055,276174149,521120704,613108288,849052145,146646259,250221263,612027197,623760543,206748793,922383026,270229216,151607509,716259767,968705433,123403254,866296346,564391485,963039068,356790218,988067875,418524951,893380393,171779163,64755481,548151237,788971640,841725143,927643523,786340731,630290254,176806686,605885633,892104570,501043790,345946105,679562320,665783998,217185772,381219151,882628296,608473379,332805512,56566108,925585918,83015590,254176096,932334129,288039543,457713543,846359446,193969957,636900718,329621267,639165997,963448136,223944067,895146022,557647432,646539153,232139458,32228366,333162038,451494641,629478700,30768043,118435128,182388584,283986470,884752985,45516620,264728776,93124502,232682795,407730356,454644103,560670331,206494864,665484115,747835656,869491083,554345470,29516098,852742245,42655265,425852606,50663716,516189766,321400450,718188085,203454416,278541624,597682318,587039170,296368722,732535579,110714948,937555221,347954526,724477753,620055420,284402158,146124168,763015906,953936077,673788060,825563655,735934087,426531771,517511130,932554319,189329293,292900931,55161390,310959308,483535385,997199345,973244766,612355413,954308705,984859433,359607273,743175474,35022266,959417310,136718697,926594041,516356542,74705318,337746782,896018366,899482249,300926791,696835683,673231212,562571404,776555855,939619077,838564848,636538558,253050192,683060504,984688992,307974244,283372334,778956955,689761985,406481107,14291891,347227620,69625173,579166626,41424192,879126995,456955392,663010276,717612835,963318115,736922174,484654684,791843641,38579674,795825389,497339006,434806962,652390131,345940390,93907458,645962363,284085320,163961521,675082385,107379399,235054852,306850097,267194775,12475538,398394422,945322302,85066595,58335379,93083420,937646795,265322953,414848641,628546849,885605272,611960029,71300872,707529456,203519640,904855747,947758838,469804206,528116603,982081061,373012403,180752230,747937832,446414086,462683272,885011593,754054680,713881233,135380616,551436332,758717175,455031398,146912511,649989274,358754299,248111693,839059227,729934034,665481302,850532818,269804145,651283525,477837349,937048296,485581230,483691200,121639719,674411996,42051473,254999016,334506778,345294312,356534241,623031843,627940204,455563997,852758338,665197802,381757926,439627824,648049707,135323521,109739298,888047617,563577448,432935334,864669427,950560113,633179031,780669622,907134460,198717665,890665536,457587904,184484965,81276651,769854047,45405839,208140976,637347877,228873096,465752861,280407394,752168231,711650345,88894179,697828595,213659810,568041834,347149794,915180944,716092361,766407138,149345188,101330956,597732507,19821446,689477539,371841395,139447671,144679961,784762364,808896792,172847976,853629079,628430389,488459291,300400394,891468567,815692958,523045758,177388290,773739145,397110752,958194515,640761148,646682357,677658927,947047201,158130416,345388562,849454439,476040908,67076603,74483251,270237006,434145305,679391888,239209888,575743537,947020258,29982786,65339228,293454639,795063205,246857433,783907320,393630647,568762951,306074758,922988635,694819402,970879428,455679704,212376216,997776697,855423864,677069322,310592112,91567111,921453754,225429190,371350941,235957205,707966988,501175677,565691995,738955477,33396184,162724691,731371019,399931965,561248316,976210094,409571727,573027417,517715106,369660110,178210695,560019596,252599420,415898413,328290766,386753946,719202808,180165193,925409999,597842541,664280152,994655470,989054279,221977146,608096993,177671408,127619823,388409434,363703327,865203222,802778059,219558153,303955686,626020841,578270154,457779398,481976299,781708969,944998681,667066644,507859378,691276117,375307211,300374293,694615978,88932354,954566837,570053458,325505751,392936053,141709077,714641953,340246795,158983891,856453030,476861855,560448974,221576372,772448208,57062508,132293472,498376038,416156538,865353333,154858954,927836276,907216222,846558843,676462152,434378702,866314004,670415126,904861588,850418999,302975282,984827028,345577260,554134319,544854958,565596774,310366024,17910569,918313569,334051047,899956946,382511654,160117597,720442857,379556402,877458950,292765966,699918481,550858665,111545290,820881785,993301842,308445312,136113246,919317248,76541674,467027571,593287573,342598357,478869556,453782080,535498761,512863157,340014702,827734938,449353949,729077402,22276351,736766269,393531337,745679509,279935525,493997536,832023340,996919625,606430248,252205601,527759321,825971028,848848206,718311826,783199109,384897174,432343008,107686214,610382970,627198023,929646503,358786231,800923701,256403902,631903868,958679879,606442146,521617517,138742386,526546010,943515984,931671476,812513572,786285022,8034113,405396209,95714134,92277382,477747542,799940327,896793430,494787896,592010774,8371281,53712796,640875897,272634160,154239003,166722024,326851209,664982616,183225438,777672419,695421105,532798499,185272727,269208992,54031602,303491895,508076960,38161764,669458990,763700802,133768885,66571419,332765184,286080219,410370061,865414802,106340020,607411838,686468455,980674668,572196789,350654464,263288280,591573645,272716357,661662832,17301381,846253425,276239867,710925627,345850488,172748944,720276497,830664775,208822833,269604920,309099484,982317947,314986552,773287077,750600270,833813410,273508835,581329099,649800751,988757236,268663805,233155640,439200021,704711916,340428817,88324629,739318435,805208225,30214482,11667106,880231600,296234196,202527775,272785462,85570851,206930524,158405208,744852941,496308108,430260873,581774515,389483578,644217884,978644595,309731298,823169165,868280281,221049982,978450207,856046889,206461635,701897057,433780053,481339485,61330756,799145541,911167866,207488723,610636375,405869894,102341409,623531841,371294189,482933052,821832287,395455790,365373327,859899797,188750301,157327886,201708214,981655148,568593284,11447376,704056583,853691294,929765718,867689661,652778673,678736806,29907996,587751788,430040407,167489770,206790429,32739086,998488865,731108511,145848401,802725720,632434616,570700852,531114033,247323014,509584135,854169338,984936008,812785848,780268263,293665316,933357329,900522410,216913150,658392842,82729587,928020201,246542059,629954375,676441382,640169483,609881129,893816886,762131991,395270473,402346057,192443411,219215208,76092517,676589808,987095262,105540739,754070186,87970786,936906968,479684644,157227726,843034713,780789152,991684617,989012687,713638928,845462838,633572721,527597588,187970877,551924609,908104139,356526509,947973846,287531904,368884759,754952633,795545133,67745136,781670999,519061099,944914594,656745076,679249536,847332578,294172234,816163130,555879280,970069641,863387397,38409322,355818671,760099475,531856656,53936327,279823079,948140990,965518126,353922218,200829283,603711874,755229679,321801256,430960874,602148374,885553559,789093929,711154245,664739264,228600828,307829014,103639007,651476143,8138101,823388907,878957621,691461309,659327330,489912293,413049832,177972834,275307680,876023238,768807355,826587272,736672976,216435475,487349073,607079682,883922293,23948295,886188621,546760920,207095748,321301745,290036870,669825611,621498370,301925206,925691420,335354994,429424789,591585472,524613200,339984036,900359720,92923328,905892915,201371015,690420231,90619015,246443495,186347028,805764862,353280814,285368182,354402441,323023485,396364199,718622780,832184,600785897,115313110,762948544,451458935,416157136,780261318,946846801,488731555,467329511,741703242,2309424,58553289,147950607,543848335,482709470,483232376,933160747,905623908,271978875,731550634,92537489,931298197,372604386,820892540,706933772,866427648,681435659,87791021,962277540,702302773,612418274,566586339,531418163,212012934,22420066,116294017,427298032,588188941,480754582,958970820,635445821,461684313,25237641,707708114,285421054,636979498,534488517,134537996,573651066,778211996,297152349,981990991,94330261,267544507,607774534,742960351,750790892,687665011,609432555,127056040,909313271,310864816,560698465,929854496,90637042,171798607,474091866,190333634,132192401,307675697,198564991,467104529,749218248,741646970,338239943,318088786,134256018,623326505,162204385,445071719,84376471,268984039,824635759,805378017,239093820,929355962,12335178,753620269,603878675,51159571,400555138,927041300,835504522,726171350,400983102,358150636,344665908,481756721,251242336,295043691,415962542,913758599,111517785,423761433,503053658,194884323,588078540,718140888,523613132,450351051,503526620,830037658,633231798,473969186,996141499,823443876,515858164,555740081,776437847,865403087,82734522,926236247,99468669,405108225,594580402,761994997,240304348,201507122,113462820,364781613,869402824,350507036,623640033,216653571,689337138,725853496,969462378,880140140,607518758,755946679,813607781,255698977,966036932,878926096,634115631,244456837,894683587,817240970,58220318,590517693,585765159,180430852,481887488,36188242,17773085,810327385,822915204,560296126,202928704,749254079,526905804,646756794,866888268,580018090,489031494,559663258,272580501,374898828,158268266,822549379,948421906,81866449,959990529,405420587,19196530,58709529,119084269,411145061,712341084,255804011,177348066,331079796,890849643,43516975,732280588,958155787,768865587,895149677,923408197,711202999,619168110,155600920,537719386,401231278,73183990,134329509,183280529,602112261,902666659,605190591,86090875,477295210,234408494,135196569,423482189,129847032,671983693,531267536,374671287,582156388,978417623,158967063,824847733,459921769,990416567,883473999,600771904,321708529,97704799,674009918,256895128,745572001,785990678,694379085,785393692,139499981,316773317,740087705,362998006,793949399,529138921,779903627,179654716,617366173,583651712,803138787,414570553,270609377,259193200,149093106,932521885,443906154,869471485,728773909,987078272,66387044,994341389,31811108,605436569,181588170,851740847,428750091,635341282,615303444,341613923,987286694,63810661,601736867,367423763,358750294,21385945,536549389,224073134,908074312,311971782,41858382,929576924,289753986,920029407,645000994,220997854,951531687,467513694,798040859,145395042,840760159,710479528,174421049,788076005,265542245,82774055,766809571,478516002,947413061,511230509,121591704,12416809,491944114,832717451,630629565,881620877,50408117,757642856,93616113,578449110,864041138,218140648,739573473,247690670,692977352,114903635,212749017,367107123,883831586,336508136,536592435,721478117,544508468,626728182,227415688,545452112,92260591,209274476,364600612,218264139,331598817,121975173,596595040,144819563,384696635,111906949,199066296,852544130,287666918,466408994,215037610,776148646,143302235,614490586,545193971,218330004,891563472,98679046,147710475,622255911,778571501,441003607,586419318,479857603,402575157,382983304,186263041,428129570,936566321,375652041,888048904,676814082,395646379,678684668,95081400,337695960,198388430,746629561,490103305,136224723,954782470,905609914,192764728,620837778,341043461,449567709,16148897,48960736,13137924,15160714,973551303,530093381,670145556,980662824,842445131,587948548,644743872,17712348,623960213,941611645,437897142,740568060,206999374,280438024,632798957,822889511,24591569,865144193,69254796,238651238,865514563,192944549,344505079,974756231,791556700,154327527,941380658,927831565,336508836,362901036,252011646,1802074,737579607,209112523,260213570,686582618,642956391,275306945,601678177,958575484,634003392,676395873,767602218,207325742,205166807,359581837,414668788,311790101,73377179,320995330,726351541,841097334,308136066,929338548,459183296,552363253,155033258,687391407,40369502,399707430,441850841,928123680,296462381,323214466,945967722,469077259,792909966,156590061,756510015,933403491,893219035,928875948,526315862,756896513,751166815,408446317,838531174,593831202,304298775,405070986,811446196,466032385,87128607,869784367,299500460,397039652,664783085,483631800,451850920,148108505,976320197,308000602,186726641,214510746,96698232,222484140,638792388,727309438,768100598,405772613,672335026,3125548,98583732,280294416,489498907,775363202,951900602,978863160,440305503,349402480,323847643,993961069,918551710,328072514,231206965,789247867,131367812,125618915,563084042,399203963,119243107,714903829,860774111,766900018,905725290,394311739,228650509,642996197,36153257,356140251,224629587,844745104,253968060,565111557,343040941,466115334,973312213,915150604,355238148,658840592,785423118,763722188,294086193,173809863,348517867,877667141,617188337,491224323,528789539,255288740,258499173,898343497,453918864,903826549,80434292,150757602,833945549,891464350,565992242,334700943,802336872,450473690,280270859,892946581,138153471,327100304,276572296,67549691,315737078,577199727,191010696,703245924,618788711,316382655,607061435,834859554,246070374,248666652,97086396,108551426,297094355,253631200,558433434,868304448,384265042,955085543,829446894,684460743,43936312,63833416,885065419,34494294,972177440,758022393,528532090,387387983,13062534,303265324,182270410,755188342,636100451,118980129,538704446,644397469,154122018,840724502,667511591,132284721,872377154,282160554,330958291,801103067,248827678,76319661,360294209,387233283,656832441,62019489,157320427,758412986,746719372,698161212,787018660,246835661,879814196,957764678,56055627,166318443,767075391,163396082,440001027,793918403,927579793,616208632,525499036,985362048,170581666,673114281,422560901,921245163,888505653,244862466,755687979,308131593,322954592,467364254,39570734,791368480,771068163,982980768,695192613,526092979,275401837,830590155,379416756,705426232,125828588,713321239,603390198,15373925,131499536,590990244,585320324,965297198,277110107,89571726,983954663,447140540,138215602,41359650,340236648,463967801,576198859,436040623,545039097,670427915,498140518,262231666,785004014,616942953,782191947,716466633,50315160,274931836,715714153,137181297,974215292,625900950,318857650,557069969,403350402,778843347,78915141,352003917,152225373,711724823,133786300,429811808,5438497,413350144,324805175,582928216,502067412,302536569,79915926,262206749,830636980,340167017,648355063,459945291,69864440,847941719,841450818,211302260,780475703,551431815,190898234,628878910,979545553,996435985,273410093,138758589,522669360,974307676,801135424,446094044,273298907,764601587,595204710,866936437,908376941,853199017,601488548,891377764,57827911,753350571,61600406,476006156,436672052,245304427,171539891,32740722,609297442,421062638,779577674,790914027,843741481,615519891,323576434,893093779,153724207,475861604,6976568,769960428,669697249,721652390,358065158,644258115,534961471,107840586,764810077,181890870,509493009,81132472,175634367,461570493,284398396,379500647,31782829,261217061,39552613,975723746,981134081,926465682,233412795,544255630,839767794,64611268,631704423,680504505,78609955,753654362,245745949,321809324,91326980,480139299,50870750,452780641,984163580,4236369,667656910,250444181,712760650,443775310,590502920,784436719,785506507,744319456,402604512,467141403,341414353,601815337,472568202,13704160,929527657,599092153,863038896,749376125,579346166,229013417,977245189,104048011,726079062,931757071,799461439,93987121,651680291,78792256,979254270,427703181,397690189,527556296,729361637,19301146,542611347,859009938,332461453,848947886,762489565,852310890,523779121,310655147,377435140,468309975,244718386,440811636,940037896,72243965,257215034,651548705,794286323,433276852,958232382,171790538,53418648,5226118,404018104,873291369,321807151,354792113,830690912,945527872,216470404,653811890,981144316,607414712,769539250,107671818,102570011,15684039,723952448,731979623,956953138,739380293,270919429,750088466,849781831,171522685,536354176,998052961,49757192,705930442,538187851,180343305,93957807,51247223,829840308,687895586,932170852,661679460,627791416,946826259,822589554,598170312,997796557,676041757,935813390,685161801,72425486,953974810,68525757,805082254,671588514,932607493,195369808,758163333,144572205,834002385,634082125,666887480,767454091,562150940,421096460,328638399,858926615,525790239,18726584,71769579,899265887,411248251,14775613,867023116,894563930,371093961,874678144,505523406,259706359,324979771,96440357,875200784,447029881,664176421,648670116,699728729,770533919,826712206,590162638,499972005,544415193,763403045,354065558,103404943,38978182,7406911,214214861,749820134,180696438,999592382,307101157,227210948,712461226,42968507,385099071,920384324,912156961,578168437,94503362,745370693,65370187,603830078,77457120,25896102,929685720,949156158,179804062,307568501,59127807,677398118,862806293,476821206,81176497,929610983,39732898,578236375,639982924,640438440,831806694,228031358,525957489,768896195,544179047,866408305,24590029,376315026,932223558,101309346,490341441,608094837,605479312,600859610,920336984,727802194,175767973,249461792,764795797,614232673,590809348,190710589,873215413,701324209,917237583,1731674,394484315,428901387,234256603,754488229,103196521,248706088,68765620,527384784,342104021,394604600,490251877,469174900,236666888,645885702,365041806,306551573,954086918,742465961,995407332,714449098,509575481,474634533,246230853,667404858,289452952,623024559,736680837,7442503,707957993,739040070,152413642,556011186,229488458,939621870,7237687,596633048,408582621,93036351,80692053,383751390,316267179,255243279,614669856,148848957,295959764,470285261,232377397,992310871,257337028,988345371,925194406,43555239,65467475,33796906,977861317,726995273,474282957,695235422,603818422,574636901,558445752,936682400,365476516,955594632,129417742,287640817,755116368,211028797,284622888,460148494,278417708,747896528,959979600,52347904,468664021,668098190,178468240,212440378,457536872,83317756,367541293,45815078,821700934,226374771,405427776,203468470,525432368,697041097,878138151,800263551,422160301,673741626,796808293,936402809,516169132,578193752,48967098,305133504,519921419,303358112,302277149,860037263,331739118,251834639,681478197,69524498,638683975,979972053,83179028,992175419,132347387,653548081,252770919,566825843,537120507,563440436,915705427,150125138,487477572,695675221,257871215,936637989,213038009,420818744,102340823,490224339,104540989,429620596,488217832,618241335,263368657,208178493,12656915,226301817,579690099,437525627,730471811,807381802,502291137,57087345,770850407,720563914,551926373,721227768,411716355,653223238,619272163,703732323,913201082,203097163,953305689,446216475,834971408,140150400,784580486,287153946,166384116,184461532,997697827,715435092,909805532,116036325,301482013,904281551,253632579,260778270,732953283,911561950,927555493,764405091,864188781,858491089,338247600,439969305,108181624,616215446,952627178,485712980,530233813,773032350,796087558,693829210,892534993,195611180,549985227,120545299,986627163,648915710,430118229,401773568,518695409,522303580,521200064,459573665,46205646,244694493,706791537,546897494,766199773,837214879,183208372,841896853,19164614,501483054,47034683,21126811,11466994,375253198,520340304,30816161,871991497,668325563,904812791,146969289,724403480,147549355,878258453,494536387,143054553,270512101,88060187,661606791,537175661,537649568,577045877,926110588,415697537,613043118,987409038,291454344,527578521,176708589,245275724,345758515,547432103,101757866,94632346,957630514,906451498,642062563,182260848,57525291,780274072,575651658,76640948,199400711,897729922,697697653,199556364,429479274,328497702,873839638,142527996,203705833,417561122,484111084,203216550,897917032,302398380,400501993,266678110,894837846,612299932,809230351,433577237,442926805,889969425,815903584,415341747,807110349,164217573,844063373,711626795,377370379,156244635,894197295,579596616,286625420,510754596,774517766,83798465,776896517,947867479,540909478,710908554,551139106,975495304,813874578,585430929,818186404,159539853,478908433,892422638,387067082,793858278,590144539,266614725,843893829,849840219,443475922,813577456,254783140,397313325,575872401,470275326,204661822,73415800,273405868,898678826,300830628,239149688,706391567,596545640,810034994,787084644,843859430,513265632,373440212,112064910,697220977,399304434,973369703,526028940,242617561,991795768,995590828,427415979,798668023,510514058,148812132,903439542,899872756,903545712,43926251,711026041,954892974,683081780,468071581,357607931,563861743,504844890,319480376,737069045,308225544,838281808,743281821,852372975,610773857,213637643,863223267,9421902,759375075,497446434,847147110,336300724,461918508,516373509,453829632,507297300,95817747,463389723,226361518,944418704,473105483,1527779,529938978,236585930,541762011,551867197,960165783,27081612,121164421,344605869,223417372,859607334,202698258,389222938,817968970,89250665,860972900,967039504,541183532,458256227,256052562,274704336,626036135,889993317,977550305,286490719,950296491,454054345,666980239,618286493,879706816,17716767,94531918,313995279,231159396,267325271,872465324,266501164,951627183,971070863,837657732,5374977,883714029,580020514,141173494,108991354,861658220,914643906,505193627,989350304,495682089,806054513,949735837,120431880,352965807,897069118,289083241,968510870,728267628,167609296,441844469,96248380,833750665,840465737,557464208,496976525,888557258,557079170,401610993,889317974,136220416,142567249,70584221,770068981,472260082,249852565,368226378,98484400,15798912,146162118,31975181,799183742,191355821,507046224,794572734,415062640,831080016,517321774,446918846,840566947,125702654,590179266,809761059,298487296,31622693,348549270,773320262,869766847,157175907,915369349,272073512,19034270,655464547,179223368,977053451,646395281,809725086,73706101,772144321,275638864,115094120,625844468,108142176,893514685,799726753,845793799,493926696,855979954,861480416,41441872,432743455,598794099,97478927,399788796,958201080,509400797,618698509,790524978,882242602,174831825,655391951,812590664,611676506,186242081,909394611,900000867,664604597,414145815,16208849,638803672,801436941,467400904,300147197,586386640,79902003,980043479,706693141,119503701,363057655,727633406,276448348,953918554,487723756,294977747,945302675,509623863,297228199,776603487,759415145,637534440,373015984,959469054,334153534,993112395,372226063,264698150,220360696,434942417,324320465,378520103,500931840,892977552,574509978,506485282,734039431,638935762,322164552,608016614,392124708,231644165,746964540,74583030,459745720,450579642,758967766,38281233,219532041,322709463,898136470,578656799,283869314,601566489,745863301,88139288,395854420,61088540,787626705,235893245,171771551,878019312,617197601,495626450,350764946,924707455,54949103,332359554,243213712,479902117,683012595,149302909,117260532,66804229,623510732,134619558,15297747,57585451,578946902,275355572,749723880,184754230,39937725,964452393,765940992,281303363,382733425,713117284,333292058,9986507,548334795,499935347,706437490,941436442,185545079,398808089,954212374,935308349,668933747,357978719,115218609,331249665,262813627,882235884,300798048,436082707,465053988,810567423,533932226,148357548,980613483,628555460,750662000,46517353,105929001,245055160,629080519,216815656,119411069,773966705,302905776,861329884,152507319,286531793,969541736,186459772,371556685,216445422,639405852,620271226,337057501,558545888,389255095,907178897,552689190,231180651,929859379,178092341,908647647,520783892,723496518,129584616,303905254,181453841,137434685,605589113,754609274,145491282,661832805,471044486,607362589,972763723,610486665,956320498,342370159,965320573,85583333,52584375,603543279,640044567,869501421,236135960,992640951,228473795,798857839,515731563,610118402,93976213,482335623,933867184,891395091,678588782,144298317,480244966,978082757,89026779,152629134,214973733,18246584,90880035,163903251,705622160,613122215,382792552,405463394,62001998,183372477,884705076,944692426,841304619,853975907,143949907,387032322,750614322,229800533,186833229,674937824,572624868,338691328,468158772,57709314,653555002,477777335,899463806,647068391,719143299,999571506,118352181,702689888,705744067,347303310,13831087,623347257,913085005,982166867,519761203,791527702,589002666,860380423,513184780,91873923,947471826,221916558,205560938,365275377,212701267,616285264,769492665,335809363,865581593,628975548,303655284,406081981,559724811,837011703,591830558,76829321,960928299,639602228,952194190,826625327,744426466,670501789,415533635,587684370,282261414,4300707,622301382,55038870,35990469,54921783,558281322,365364612,147843427,341510324,893934385,521108668,23059992,316331565,689481910,609366468,450156720,531858890,383379745,906159452,101507460,113019745,210466778,405650227,38122283,116990067,270178820,224368253,385361073,225183903,133206972,963870667,419150888,24158292,379431466,242163178,365924029,231491787,626778605,955941574,521747901,414564013,430971213,534382035,12661998,672485075,700541287,53505652,161289397,763291328,99921887,323823106,656615764,844924584,797064377,542785177,675521733,49629005,553511212,435787776,399463766,747127122,121166355,300244423,199995943,20728135,842659864,247291715,785349965,542191801,752249527,547677993,717842517,870515210,399022711,415433793,179880231,898051335,50914259,920103010,915339240,718353063,191510128,50626020,208493820,931119991,277083900,787672570,203265068,549600461,411131906,87869401,245183582,224464359,483768091,905693722,846874659,639459170,601649048,550105884,982475937,437693911,696621056,841943728,918891036,87696158,575997747,318893366,267072292,15799069,747869880,863878947,776862807,850623909,463236545,497932982,146803223,489814231,943467622,115775767,315588510,934038526,374392113,771917541,631932532,154008664,905019369,347608640,620737388,272009292,710544374,597325103,777519043,257174144,621611843,376804255,285022176,255767850,739200421,615337076,762436815,358487743,559826208,967424982,277167634,132392810,458777184,490286676,557858486,474843625,326842365,912976529,1772911,513084242,850944001,572898304,718248659,515290696,107116413,152435449,252937676,730621367,849525019,913975423,319069088,945877399,49232863,638388085,534796961,289761734,392985425,147491049,500297018,428829208,557190085,753200120,278645015,149344789,198546306,228373074,266527267,366504096,891139688,776063938,592524046,15623342,915503829,460961070,368119931,418233441,234586214,953424289,467728520,549309610,60783529,329518423,452011368,731386652,18801987,955816316,177048398,891755010,738101430,886390572,932026239,311723479,592802192,26862749,732520170,460423782,910459760,572196093,260263664,668400746,746381845,429429508,343606063,303556673,156285634,166724299,320907010,35434550,636956689,206431964,528698824,677100792,797274590,762926653,196839497,659284630,135308669,760849921,389314515,420468477,187846650,743793220,632138865,548895918,77553709,761140630,396661975,210008634,471704282,630866309,427854917,560008390,112139405,224128300,870052165,203007247,178218504,593065188,311773465,843264111,863637453,576983867,672137099,375606766,513249163,576048274,297030427,223109128,124504477,355410316,581394080,310219432,707233072,924903041,816431525,285119506,283502295,954009333,504112778,576134972,801160723,137616696,396600015,307547683,973448058,331279303,368001390,280293146,253782850,583639868,992987950,156179994,50733967,395432975,283921690,90418343,60601303,875239499,564178350,677852843,565704633,505857408,418398461,967394873,545944896,76489697,544536296,922855937,579990147,139594330,660807744,349618723,104406354,912771398,260406988,914202177,850679865,310031188,153055098,294744130,47121286,179046424,801108209,160964729,666134698,744346568,554445732,625484056,471180832,510282473,797374080,974905583,191218348,272344806,410328844,124518793,912246473,693916134,599007824,287549821,84720114,778874609,868649460,417812467,85192026,730638490,333771548,428844292,205146835,318839122,262809544,149481760,324915185,598046934,45139050,531175725,592439203,643898432,996082917,650674191,317402339,269798513,633561405,456448079,491677825,749057285,29084824,352175499,831685171,61526259,288511375,55704263,225084032,118130013,392454528,654612005,199101710,432612736,277125387,885937576,85937817,905866763,125766569,734124951,640443647,631231152,528408077,756308651,608894852,542746417,399476487,587993006,314996247,277069841,161000197,730906723,37689357,692585705,487890944,744413486,557049054,383132495,52841388,615879504,253987563,917362696,144188443,179300638,716394815,574063746,933364097,560533115,707056590,505229475,985596027,497843829,490326213,655546820,347486070,926407851,80230587,992106855,280390747,888136061,27895490,467368985,240434463,246993006,791624750,858514565,833361762,657727886,595712069,281229208,450477234,95183191,647022609,725160869,399099420,116930593,200459363,880806946,900243092,491200449,473295037,540086306,765655459,295258173,344238937,78243922,656477947,372754042,418453062,370248261,467900501,696490739,263457432,874322166,598303607,287744504,674970062,708528246,372068490,101895817,690621023,349422252,231612541,497517743,605595783,532179645,981389639,592561266,815474675,539566828,102455061,591858828,126408893,336044076,866657144,157169176,930996847,100539211,499389296,109260986,891366579,930224964,98828757,96236247,398061676,414446402,938490885,56893574,700392215,110946570,981096212,719586090,699827021,19835259,720802002,174217437,776120075,739541791,869122103,156894679,777605994,711748602,327903595,921471339,189185986,406838333,563585847,717315085,840868281,401126440,623557179,765435289,130312295,43951268,677666913,895538548,177962823,201448091,230315326,365958700,972727586,326172513,868946635,44652887,379925712,327350523,700184464,300519822,644604260,740145919,661365513,333698349,514035114,859527213,271711531,683933935,629303498,144506972,470515193,162318345,361468988,773681403,951061808,618054892,170325268,541789267,879940958,835631004,228332363,285941,893489786,707683348,95338226,306290205,802405981,293220340,967511979,593726390,835193546,76873636,239104489,98862539,730794137,483217075,565334732,620839406,488761639,306143438,443844020,191707075,673806132,371244124,426322917,690821801,126313746,368560425,293999434,238721923,198407199,259064807,477745889,669810485,396775991,917671963,15555009,961291894,521275086,118553165,376450715,436208891,754192196,960953410,691003753,277420959,48223675,895557693,478440090,845184988,812492659,716399281,27282094,594466981,147543633,191024744,290864892,192183368,813367972,563033685,586187140,196464330,850801020,300870970,311947313,681362461,726142239,239308072,84012810,241603802,399718378,901032097,788930297,975620475,310650235,137819782,395221412,242337596,136332832,262323761,428955394,616825046,272608443,942188421,351541622,373663972,366026932,569044135,828867394,839860756,483606735,140373407,144133406,571177100,864133331,483809534,352462943,476034081,529590755,811034676,746270821,63369749,593688894,278165128,103746320,170691917,19098123,596619039,733097272,370704721,74535413,940664464,911538679,943462332,990306562,793048101,883432874,203865682,812420040,306138712,15553831,37449603,702612837,841902965,553941631,52531429,87602367,800571677,156944672,340656687,918148385,756066090,232089177,797358606,11236890,848237973,346750968,670799950,366501871,73330622,463396541,52145811,379061612,356916657,610924441,566352168,725712905,525071540,206556595,298352204,44052589,265974787,275331917,695797905,236938505,970002970,134849121,669972523,434179031,347090745,618225984,282486983,394331970,395437230,891404949,239975401,381980526,698192817,57060436,912971099,1104871,688263907,769198324,739575598,532631463,277667949,488947190,810198691,112549138,179305582,607773893,579013424,631392285,308428974,389438297,591531061,180081068,520212290,92817517,984792271,12197746,133241620,695914295,815965749,112737698,860534153,788005873,868408275,54048520,324533105,629384182,11898576,392656807,304838938,413892374,605813142,312625830,879283147,192493615,636534893,463717629,645643993,830319623,907497711,823984702,86873495,920329741,491053552,423509659,557383937,778140718,991559738,646331066,642645796,886317432,601782135,363069773,633534588,680004349,5506516,352975882,248267268,834087074,5575808,427613276,221977159,957545479,440878596,954122460,566713065,38054480,807511120,782891013,118534672,990036140,756153848,924333944,831527806,61823242,506972240,613113528,952310587,556625734,683356635,696578339,308493989,228232333,254453124,84225461,516290794,618679557,63691765,82224094,189056772,651814557,310067314,411763322,313912349,771320262,585579114,835544241,566485107,199009778,811706051,49495028,770981261,937563672,126680902,307838732,735950129,147051542,783045385,425661477,809741678,332129043,916678174,916297229,41482767,773422713,509037150,162414232,859539910,382275890,768158897,851882864,572779052,707660612,759552950,859138674,744382295,598537750,463579059,928534585,927950208,27660847,393383234,969474592,847359283,88414963,78209647,309163297,209855851,475442276,918685620,16036468,908610682,793486974,220496231,876286281,827700253,338635890,597355864,478125313,566259565,115026999,152905599,303008714,684090569,743078996,365804458,737716842,581805374,626757933,987982263,827845161,670029535,498692509,370595370,487234609,269344736,43501911,354128066,995753311,925192574,473304733,475029048,917514567,545020447,182588338,316642599,540035951,710961242,742498418,200711020,482141596,528466631,164571917,364449942,638092211,928867457,678394005,117255268,543985032,21121661,644159109,690671240,514290553,751875578,775725131,968972849,410235833,735133656,715008253,364031466,207104415,151283030,23444391,216083821,73608470,467491573,420886604,50701033,831624965,901547242,306395377,920532100,512930979,584219632,262671541,816160110,500472581,359917036,85225092,37667080,874009806,333750265,474803208,939582417,490443030,645950492,283156254,333587925,256037181,926248492,468107860,989910206,434995802,766214484,370383737,785508012,409728347,608335758,510392824,920361764,969876396,636914114,95252305,100191734,36173505,27805966,834499176,660561955,312717301,601214298,48976578,472893250,854365496,687013775,773108756,524092691,983822957,563185784,733135463,169468789,214071123,152554683,467244838,22667157,361612776,242948948,252024594,264733615,278320296,966951663,731039245,197132228,205967878,396124526,572104711,194711647,770982717,649778360,478972332,485678989,126031989,747808032,102685464,897423638,654318373,713286421,42805601,261475668,940193704,608088613,274559573,880583996,877527645,30940592,893336236,369814210,683937337,769666312,955283060,63840162,462408574,843128182,161046360,698061185,980141729,528676729,919743605,891850484,644700472,976350749,96713437,278410059,725487639,872786715,541185537,272754980,677276423,818277073,630709988,552477150,587882654,59769224,176952810,84975297,410928016,892029106,737940824,67810171,195073261,195157966,699229991,936830384,180098283,692177846,985614429,132708799,47802949,849189905,396463653,724340207,603195581,882855528,256420034,907230641,114614650,865378449,54887380,380315265,295423966,594675328,942021674,719211937,282157453,929531439,263721499,226350975,130912517,361019368,536655775,634210679,956542764,395242952,381757080,896676803,803874536,39789419,534445837,649318209,934512768,866084407,141057543,89557182,204571306,792224623,110354180,837562932,781192414,759660174,172855296,138540970,143289602,940477484,867244995,319323162,16774888,59612102,807984357,373157449,983604742,942405255,370545574,265235934,274414353,645346254,856009522,394825362,66481913,222543930,786061006,542800434,346806501,189450334,826953360,347159917,518762996,836791944,998740850,712499532,315831163,757727979,723627023,387537087,405816256,577825543,69360811,61929574,620518498,786880442,843535719,215843910,897220267,511761079,956738162,912015716,122989910,628348925,293239366,202666848,347050567,686699606,384236781,345352557,819954936,216552392,531106131,249911840,555205344,366954680,819926029,622726900,185122681,441409960,971546689,758698717,209327028,277196068,651920682,852911804,851535604,253828078,784488503,813762030,774332440,367309249,152868437,75282501,164225170,672823555,1230038,267859240,158682053,252715353,911371111,922560963,450537084,319324917,703164389,487141598,827642598,614296453,193382142,740785872,168669451,215317641,553899248,442078367,843495411,991934280,500692530,582647689,932908371,603150283,475490546,863569191,139042763,631362140,773855432,9150349,129297103,566197830,153907030,932373923,906364255,888814144,426871596,68518236,237186696,851825653,156323578,691105797,822812352,564102818,216579488,834504136,800457605,498649279,563118693,325257047,27007110,446704535,519911842,101115933,481204166,343590592,543798202,459546572,236313195,98056285,548627976,53277049,718833042,394320418,765983229,616782805,793202281,972154404,313073578,602423570,539068897,525574887,870524230,571749019,172333482,231328568,145138809,177214316,322689601,291869508,676869190,358501339,96898989,157525579,981044687,561850784,963306212,241399009,764667128,389517295,967327681,783301124,180762432,159116051,53140745,873628167,704300289,907604399,403961346,389835228,498822546,40954945,200880142,33479471,294838480,710211435,100342333,602333477,455056551,781881911,308254759,508430053,5811619,645688052,723960366,189715197,318809790,778488277,670258603,31951275,927419314,533290433,321403497,523285899,52449590,966096408,177759055,865018282,81622668,53304684,779766787,708840784,953969764,876506150,516318203,650674743,700953952,88103930,957683302,419298108,830577308,975580626,827142080,320387144,526836597,29675036,638043948,876121399,537475455,838568518,75527340,526262929,896382073,323725624,466350507,780919481,430973228,663369859,553516764,530961408,277393522,385454956,222951035,897813165,665881060,714712819,950662016,988133715,175817449,67193695,376682613,43277371,657764447,903101183,343298758,962624195,415635200,351011256,723966447,873769944,388429630,13211224,459591479,44341284,126689855,53775432,540743190,618571597,119466451,541598416,99115196,56357955,413990134,47114026,937861216,309558882,577017282,889544058,741327943,687227320,650325684,680958775,759428777,332205975,78157991,666818073,582620429,356943533,411443297,432838758,816701474,820291493,847076025,340500498,91072411,835370134,512167732,93246501,358154151,463171905,401954336,950885536,718594046,590903248,277825683,892830411,390166379,246405220,433094069,148845067,232825918,735310337,432196201,690821613,388400107,304900480,442482405,89895880,977623098,42632262,306259543,156945412,721975735,36244449,626415551,489809637,241735711,967709573,178526721,678570076,73046032,741033635,792940510,859190055,841603056,101452188,383715960,319715800,86082595,729369540,868398080,275258298,20806708,788471862,988070579,904501400,338957186,228987994,863180072,309462935,681344246,52548574,620255515,610051515,229579350,949618550,815092042,15544693,990598730,745206334,768638460,341951176,246999699,697590418,731754856,897410496,783602124,993543742,843978476,77242337,151664580,767954544,265176803,135080949,57778153,15989824,289866931,763187548,218544593,368851616,490372082,556536560,659385009,644648856,624934009,852920475,178585496,93269012,792279158,626340418,551593359,828850068,222906042,90202078,356581464,823941997,340442656,962443689,306595059,938400478,492371426,646455238,377297038,594095724,109499173,824210190,43538918,963847913,435756906,317075841,431717018,545368972,289110758,121606890,230597099,615996798,634782985,296357464,247311045,150859256,556781281,501871284,800756672,225363557,896298536,916710734,810603388,225785540,217332984,206577415,688636890,197320106,936177002,489409898,624688510,15647597,88954419,412171864,50788299,781072320,340716411,42999228,190020789,100972794,432571848,679114552,603703787,302924522,332843169,644145079,560866840,972035087,858543619,936276974,929923683,725480141,473141804,972352876,154679073,281581319,686767561,177096450,221606952,482362079,462058513,145474512,857278040,187410810,764104147,399195264,659198386,937506584,917357643,323730959,300884011,866312733,59161809,588259172,274069139,255213666,582434311,794716601,376594002,700150452,812245969,472467418,238748949,289571551,797979105,90676458,922872360,458354469,153918366,466901206,185573410,720109808,853347799,600897957,120599403,767167948,473012115,758560286,310257459,161937632,127245634,784637798,8668123,629596857,346645041,769340481,161101631,489576036,853522805,718338868,451929074,260756934,518247939,525530986,248032360,659303699,328496966,291402796,854196927,448073951,724520338,837970643,626030502,475092838,531889594,717769313,313796626,64032398,612360496,313452720,336533847,279346835,472096512,209723547,165099060,288796504,963924989,900188869,602907121,13936698,403960352,317593859,316591141,806742973,745423713,802654433,993442541,546609605,193435676,602596315,635340616,67957998,480932293,818607463,412768728,223145945,144487039,387282628,833313625,97252252,707135113,780621754,30927757,855372443,965059448,415807168,755798169,838249432,199066597,545386750,905468221,844429459,147588490,432917297,401383514,729378535,610922360,246774922,540541383,203352131,78353121,767430862,902524987,477063845,838043718,906869364,152354697,493099362,127743859,544889534,693951180,524113252,16175367,302078648,948431688,740840648,920866508,915245961,98793287,606943341,712694501,427104626,663725009,460043604,805269167,804683304,87338534,539643585,440225615,484916745,337761147,621600906,547105259,523074099,844047046,314783860,289374155,778508458,538209616,388854342,342280142,123186818,759325582,160844114,124321021,775467813,808122631,273677482,518086767,990466808,496801143,754694823,974740016,885653911,578336499,654342763,644257834,655163207,401621333,176021798,287926135,43204708,831423388,321357599,143685336,134204116,236698490,668535058,369570131,436149821,329419385,540431909,243946530,810433653,143248083,709237482,128323008,275571363,835131299,431633455,3137859,434789999,526274777,305083313,179386838,806655088,389673255,149659963,155835821,107441218,882276540,54952432,846956364,501596261,213629046,838734053,931539474,81321963,742889824,401903147,354305799,604073447,291506371,232742838,183490737,591568244,975373824,344935720,649512796,915607973,199640661,637585586,256401026,868336324,696870181,313834403,194576840,372391102,56547008,559313365,73217677,568692122,2737266,399757504,426127294,613535367,518268268,851191055,856352722,928902439,132977089,734024529,185110733,115191042,391229883,900796327,848922482,360840917,444861647,152573478,657920186,480909196,419994257,985967052,493396870,543167596,404058236,610003986,689301469,956190190,3642622,322806197,632511215,984662546,739950445,108944566,398244127,65370022,455851812,696124046,276407443,540438809,870275117,321188772,954332780,993193066,654465384,507366353,264459737,763856328,978147303,637992358,71127048,845497107,78207973,63046799,925882285,4678668,249983234,766543285,967521086,324393253,458584729,139191645,229830864,699518186,108051555,503749896,171193052,570336694,848971477,590789341,164655376,274264200,411327140,748563986,859007589,737746812,293856511,521586832,108237995,485790990,485020165,788008671,494001489,323595632,973256087,768385986,596104068,317427254,910436217,424723997,830212616,480918870,970926712,160933902,642444783,110918310,797368988,44893382,207597971,835605505,608645587,945869577,894817945,153569903,228862572,602188290,750639212,547110227,268501203,506082177,477409251,763523760,240418075,956728620,59558283,943872697,480843629,592139544,284917784,523911111,702010549,336778047,221783608,72742646,166667857,325639320,995350168,894633936,349629171,257170309,476727980,12387856,946814259,531660713,499214500,136626082,616992215,295496237,726388216,555249273,64982015,346466020,415262015,594299419,178516571,623585953,113982326,840622394,833536949,272136155,813797179,499936856,760042666,307721873,60810073,894985141,106370919,54447832,882944523,194613383,820374978,484794694,375195469,737743548,737001698,133788582,65202996,586717815,717281852,437187949,142421237,64276113,646156054,898318102,200292977,154615367,723728563,265624535,420202858,278049583,272752942,796041896,441014103,297732232,539720736,300425584,53309009,711490559,640327592,244413655,375655484,476701381,567254973,408757339,810428487,265126937,124486577,901884481,232814226,638133154,942757132,910805816,293361528,616013719,139945919,562186919,266744048,653630512,56851206,60951514,676913292,565865689,724660163,141868000,149146142,277840828,508009037,808531970,511304672,103609052,709515171,513528138,83045695,816914904,686111342,448476860,874642883,125084247,464592964,563092022,638999481,1604651,505929596,462580833,167097441,69912596,4997298,727560348,882106167,630735045,697050309,868899940,895984747,737782465,73821733,499757138,290822470,831392938,374740277,454200764,379740965,197165590,792792255,630486528,121254878,890423016,47664943,919643171,725812658,705042144,199915761,330011065,118291944,8464491,184061835,466566699,772108671,254161855,986055577,59417387,829626253,263991003,556163962,572103513,935121868,822714470,268921629,49947668,288497195,736012263,477669661,318533621,276740459,340309788,89582039,685085237,908705857,661282170,387404597,221894240,517162683,837768779,873538714,126555284,186046551,392409127,265289305,133280389,395806360,239296596,670579742,690567807,938409901,785568990,916114038,965536741,94218658,966299964,569994716,34062965,724460403,169953664,874333688,720515895,968194896,568886977,572680516,778675080,427658786,698323601,296533918,678327308,18183408,622714840,708675916,124724639,26013723,107835341,747583869,409143626,342494344,106143205,420382749,549748743,391107215,756388941,405364195,28835429,520347455,106225697,717580298,608969066,685648214,379733475,72809735,560468763,725779892,784558702,44678500,197107108,53372176,289385492,798377626,524649099,219438706,385443054,182601337,602299447,732655657,306359239,520585293,374743128,492169519,320460134,39853754,724861117,850435464,349803196,659613652,323741517,466301597,237336818,238439606,129736117,576854922,429519199,282410270,908529486,804482055,38545303,398854293,156775062,899356288,974540524,773860217,822920637,311416041,53670501,661247680,970181506,363470261,555970489,573115249,625958653,143439888,113401391,924234445,905450553,110149582,809524990,672343712,139933652,822394195,624160781,726770014,859362478,663147276,656523406,791360051,799897721,547201576,468161953,607085981,895046444,302270533,659943919,17209080,21556307,108615266,925960068,565325203,578323636,776226738,955186673,814749619,374372813,678872330,869185848,454756168,196569508,133625416,490911059,65783430,140148074,129159592,349375243,267752960,55340532,889073931,87034383,45651745,625289635,466955304,763985607,986665356,673485980,689424590,781149041,893601578,749049857,34906576,537310413,863136218,351623714,518388743,642915804,187604080,655306030,34401087,712128353,456199668,517255924,259178711,393213645,856824142,675189376,389336567,429243499,28538754,834526290,219988220,565621489,41093376,166833757,884704084,91668076,874839814,210621794,394398552,202510634,362685312,426866008,983253801,709882798,478768536,72429126,904484467,218297951,932147194,926371645,698649517,516491235,433641877,575610104,980407389,772104505,275291366,454114999,596343783,993337401,257481715,279568177,555193064,496446775,965795534,472159185,805411717,251218896,266289913,898153140,51098938,181774214,663612009,803357422,61386084,473527014,441499200,204268996,807133992,937491280,677280175,406642783,688249301,145041661,390205972,323217351,5683955,952910262,19173734,419701617,211611007,29157460,121445978,165232685,303846859,209737183,399600244,566869275,141780625,971621914,637419163,257021914,553655128,762148360,853509109,760239517,502525775,74553975,256858597,228098535,365679000,785057392,166256966,359233879,616195367,289326620,317711453,321996748,862175827,625383592,545569629,15265270,501101900,351606395,646164806,516831147,717488829,416391755,815129147,129336572,821815164,905857882,707609803,867827931,313383788,654420384,924716155,398344460,678281353,158968085,796802696,615361994,944047102,869485166,60206883,863060697,932757645,867565160,525604193,85111453,448938334,845492308,77029377,892082827,397902651,972251226,264402825,608288274,98398775,107999466,789249385,309571143,900860098,899141196,960237839,785652432,329298408,133678965,650559859,501847323,87417761,687794779,629578563,593081041,470041647,90149650,695279105,167220859,196772578,526868627,942180086,134184662,534771371,584609548,331671810,155531698,526757271,124528000,770101855,895034066,802836077,653594644,842656023,216933808,473399149,711137627,274345806,418116899,524128545,646151240,592560789,455104440,988051643,98874901,131914701,858819964,145799073,20390206,475800034,330006626,134777736,472523623,600914378,640324194,858512908,849822636,707098436,853173090,121172499,444046809,475972539,118177489,471994107,365784627,265775086,378303572,901537796,347699826,381250215,365866987,616876152,777310963,934674119,357834862,592381117,694068432,425026471,401498119,844587669,760516052,925100821,862693117,658160578,818470484,125285488,935180932,856763958,764429253,485569780,158735656,298914389,658033282,732580675,639580599,285619929,392673711,90322037,352500613,521927483,539738653,849632447,195912977,54173428,52434977,675905064,621519044,128459147,611280970,407582628,281563564,309103660,674923491,738661350,98763403,644486043,111177412,535748213,178456688,334729141,580832295,361696526,775897311,282826454,607639408,233962153,934543400,447928999,833543139,867339160,562509032,497006601,32559108,762732268,74440003,939857152,690786118,731993577,921985686,881964558,122048537,406030698,948014362,112268705,190526896,262200095,294800186,726157902,319249110,810780000,765409479,426239531,552359108,700599379,343819520,190208432,434567719,328256646,180594051,563977496,264969663,428831206,339390138,185258299,865190447,748465807,175758169,4208124,571232647,540071776,705349153,515490195,291425848,759811872,805520169,493435797,625494037,190043939,642781455,391454352,321498528,596404515,505591801,414719889,996857182,385373404,851526354,381383298,902650377,839468396,817831703,19225801,342189827,467571944,678393881,8089954,378499423,66931307,289408823,565824511,856922752,564502260,434733800,187974016,589759936,535576049,156053778,650825977,56133681,634341837,329290433,966696303,866176738,453048789,339707191,541734643,870812987,638765446,320944527,615917643,340078461,478570720,395200919,430015327,453772585,695343644,534056246,30139103,998419430,233963916,408256648,368361664,146943775,679491927,78629167,393494578,130752009,516661090,829902129,394428886,594114454,379200056,227996907,866619560,27906234,222949521,968061653,445357554,705094656,377553605,177948902,697148936,156206524,958107913,416341105,974689348,342798747,418462084,453948740,862345476,894818500,971480855,417621650,506634457,726944297,388877853,810162300,336214657,493018432,308344303,16061014,689059342,462125030,585951832,711686869,909325161,285580765,564180682,159381871,397019529,125033427,178588897,143270112,906366991,337934824,302704339,56503692,682998706,232504277,595875997,228253611,71060060,882333542,357020849,411673236,585237163,871575538,534862278,453716660,106127189,923955529,336429848,295307992,790730845,389505660,930702314,836584897,676593267,465328217,333436537,269357935,39406558,290770561,510526453,469736187,919767265,245808562,567398551,476840645,944035018,626284867,270196613,834665413,775684170,695061807,13229780,399799742,314608800,975002722,212359963,537516905,371332671,50733022,955211182,321919922,567289030,795931381,681171524,110660639,577085483,689323073,887177188,392919460,195347049,75730065,575308590,763450446,708991810,10719628,841486588,920223454,723076547,780696049,747206469,235399312,403455139,975567058,998634929,285668112,528508814,189506557,756663447,474524705,308567062,726522021,725020614,262258687,747496013,313209184,279765632,870981776,491522212,965961267,443138652,247215150,103039056,291753265,526969030,284771233,542025393,715861943,686531003,229106415,17306320,775333142,303173853,408347462,617151027,658889792,642987575,99759956,453639086,208935770,834317565,251328452,62088662,214311744,252693214,796753593,603158273,795910626,381866713,875049915,299855583,26796427,995261413,977948826,85347387,50693364,723314368,169705513,78518769,338004922,461357498,525434776,301919126,213309618,669393286,860443166,714973382,303089605,210978771,661869884,793447178,753865983,610363200,296599351,365509569,944793031,902485884,208889832,957564080,561273570,549266265,787643738,193130431,699632743,581522860,841095037,511305421,188239334,485458510,829780300,206038873,94972523,733620101,931989605,456947955,22141720,449206925,189778031,445131687,494639334,194733433,617890442,646842365,912301828,594173740,117873108,788251814,910025252,356230451,105127475,541846892,277955727,204421231,666653071,58086921,945701463,982302812,300391042,131182463,118322914,427747055,201233722,813626283,160125414,283682284,655219220,576413111,46915687,871708661,239185973,265808326,191419749,246805811,913219225,592862050,447413946,293599766,702752882,891428800,722934609,587872700,886958603,599203313,663383933,813062860,105743090,794669998,517796660,896201981,191392234,675817205,311710795,442360593,193719911,820254291,203226041,572094859,288894377,902784100,884322249,178325640,54440734,793723255,845076001,398349722,512832904,141390358,305682791,840087697,830512874,894191021,201764948,841049275,679505429,424893202,981061035,830628823,838888126,18331805,842405636,330998004,469729597,240777782,184195169,938499026,592202073,887556894,787408350,516696606,321641263,996341223,417034105,673173549,63561355,225321493,89143979,757598142,411181452,142904570,260155785,512411045,49799876,1476666,994866743,148629251,328341302,222308253,263875691,182464477,908466702,636232771,775862025,274823873,806845316,969383372,261457522,156449515,757475300,184319976,944841740,137305048,610271382,46681366,170802223,111678616,370272733,8368336,950163906,547420321,636624270,126758613,892760073,635170383,530963466,199814110,379281415,78765178,324001909,505043921,93425771,510834232,143800369,987117703,431046710,850913935,174378698,323625660,399319005,826410753,154545983,225052182,510148024,404186794,186700667,152542711,23699799,709910676,863669688,462735961,614203064,713291034,830499772,339149652,284875556,308491292,466545837,427536830,798395949,531302424,283654336,121242552,41643204,381164628,204449576,575821928,192301967,608711724,934836920,868121146,129875372,577522712,622646982,58813729,296635190,81035425,254151878,993587324,815270728,77271901,380157581,971522559,484845202,922284634,430399751,798038903,972003681,177194969,643146642,187059252,114589680,518614219,369259915,334631095,531965641,566659870,631608090,743006179,600544954,659718275,769859011,846880655,943264530,515796567,803104440,635810146,159060670,738678137,669396473,197650020,796899563,232759414,488057121,375357953,448580537,752253228,169513716,463296522,352140403,947011520,531872899,959037290,817345344,698599503,721632651,114081525,380636937,65150967,869082887,320845218,29229435,604028497,942531185,975120933,720989189,635825996,707061016,185200321,871777234,563548610,811952901,902205133,417496129,603487083,581055799,189584018,745850042,945541349,893340135,54182444,600742066,333559225,378958195,669867962,874924805,280227448,128028953,986536245,763394039,110198855,427734517,953107770,487948989,550540502,92862681,867689131,251559940,293048614,282026084,360689892,999286919,268081865,287227810,940148688,471316912,181131666,232666076,188074824,454813949,970740601,303568794,467462736,477031739,669338548,966128379,722811079,800735784,6538219,535275281,402462427,247591480,613588854,633484693,201695730,882920648,507940102,875495940,371507512,778395105,836305085,832167626,278220477,692752982,672886908,793103394,202020296,303006845,695459619,483170546,698673619,286559263,893595737,813777204,185673457,933172984,831655135,138735033,448040911,652666699,204613170,5492382,842922450,275303003,544173006,64418536,823712873,500448354,357209295,519593904,375555631,781686821,383629858,710261736,231158140,126593220,568764558,202364344,401961048,905025154,345591710,864611387,130667493,377945377,576073452,502479732,377757179,696281921,817982671,214163622,402107446,761178971,65994307,391295278,666931448,739356003,876544992,511660415,208828199,501141668,343099021,457946110,536436818,685991290,279625077,193024461,227668906,437952891,195563297,354340281,418472814,297949839,709322637,368239410,425072301,747063408,183438024,319528034,305071488,685874390,708287361,333521756,445411404,887886868,757471672,208439709,932148833,990471272,892360416,859201856,69096872,586640706,813823847,556803089,784218790,79487678,352852440,968842245,374117984,285778428,932715932,857821119,845106740,317941791,554804816,374108892,741475428,936875819,61308171,688188261,717026960,330656478,443454213,179896350,522970004,143124704,951157748,500210502,785977592,391969017,340419897,488926711,28724308,558085901,704932967,471959853,56028894,378345877,788281975,811415298,345291851,689877618,560897514,735353325,409139438,370495269,302898187,232204811,437774930,396148470,942244096,10647697,25565753,110478724,86894995,896214138,364667500,400200358,334172208,275169438,509281400,372962949,948180805,834206081,675390071,842728472,518615266,129823567,378163107,704119106,635934147,303923299,892038575,585825437,691281593,639961528,376179961,702997435,835113437,781887710,641584406,632698971,970676432,659265827,549084803,575666392,797225740,12932379,385842655,267274603,880883789,230338137,513227115,324570632,22218947,421791298,974677136,681905162,785149434,551442438,874460584,264337014,723144518,146299440,808965511,754268964,448555105,701737974,166410046,528856151,663401605,103935013,816478583,161000152,222553981,320993873,220806676,453660539,411447279,111705795,204233889,929810853,586796753,352550337,713594001,225298581,10139490,400498627,964247425,425953274,350077507,872039229,597153840,711354406,615753269,671822292,619482799,247695605,954579656,580806371,336050476,674162247,227988867,694189603,969692937,65699568,2252853,495787372,709000758,321929569,562248196,138031867,766357780,299107657,254513001,753560646,387810166,58647563,454403831,583454184,993957826,484351279,729012276,824480785,958859210,296058351,800997881,181514233,422449096,764720857,217575730,956153070,28881340,488547202,124643294,692153839,566659565,306145080,153887057,687307998,164594580,477999568,718325532,625710386,966928188,970847329,762307727,154611275,587221436,949724266,8034642,976435744,736207794,559103851,546569843,512957462,35125294,683331008,17054060,253160086,344412146,162972071,459310226,649008887,109671513,365167071,744452107,635996250,70698565,245870117,425237399,166235817,334753954,650399335,113402260,330999614,409994455,60161567,788407317,300551843,578253985,297147924,33916060,862186143,286160439,362603943,725249791,160841872,147207102,795761685,342826869,221102975,774477722,738484014,290102242,852279608,619709733,781661300,891450446,100538881,362554822,707244154,392108875,779511426,533960079,911735270,829472093,434745693,282441396,803863267,914367555,916918019,810891723,697523243,589774057,463010228,662701636,618880387,807690646,284327105,525676001,228130393,417768587,413963185,69745103,9059251,906708345,965048229,323571389,98520415,449088234,82754549,791308737,518523435,849599974,670938269,396818745,186942677,119848070,309464255,941796416,334888484,683442591,815876166,445722969,84114950,250346948,613319340,668298709,432076958,570116792,25832953,132508509,957726849,114179669,124834221,323348368,745663429,106048038,948781195,721580145,34475102,274065723,468036484,143572659,528469374,737262227,77265938,381585550,330425918,348099133,507673072,973273373,217828574,507938442,232078079,537604600,877839647,131963796,84042627,98155903,20311724,310740088,520008671,745446088,147611840,89691120,273029009,57190843,665067058,222778708,41475109,694574024,73031119,160364593,585912843,980504727,829703109,237193717,176006782,238457798,322125968,703119909,923650724,343607399,281995439,143551721,301404160,262202505,15384442,559127777,515148167,165714895,541567525,544839256,800815474,109559114,981516955,961329928,626823592,963282452,102571986,11314559,110111081,405311188,944276432,602571993,23910740,375404658,550708696,693093481,500011428,887210255,710224558,251281437,528965060,175082312,606132787,164565941,847761205,366002822,490735822,857324918,905990016,477652478,898554901,245539280,30848145,514302620,561164019,468295002,988303116,151073026,670437955,259571115,329028545,544060074,547391933,630992424,531946311,255161267,180644911,370909004,29341887,573803485,519010539,295540832,280646936,149821373,914046176,260356395,699390923,908612199,533480458,801416213,534920723,617760277,994137969,611916252,837743202,278608785,965301743,48904701,338077251,770049560,543068055,49669207,368302486,397721554,548434632,82338129,600214852,991835163,135182554,101192785,14014828,624483249,310765441,474337863,978883766,253639946,864335034,235069084,368636636,716798195,39156798,320793416,611251447,316032650,7130102,300856115,46279372,883034483,594781542,935440520,423686957,905339038,886657553,684633069,118880604,595284124,910040201,423307681,526685487,866888987,57074295,530580289,611026943,258495475,580423720,291288393,588628242,909317452,995215212,395902669,563569951,26761099,280659543,931522481,901962795,955005642,815723720,143641825,678577890,359251907,302704454,391561699,60681641,693082780,586287515,220726170,899304232,289553322,663983918,27685868,653419298,782582101,744272766,19635059,377698221,667046423,207530994,256406816,584845772,426721923,870423527,731269565,142385478,65779618,632432141,126628645,733430348,421080328,162777713,224423935,854118413,851006775,580775646,669734884,280980953,409783892,638422313,441786740,784039573,58069166,125676850,580457137,645114191,795467221,706852691,100786592,341259730,43268139,911492125,130792895,365593254,107622249,988603461,970872759,164452233,887862579,250239331,948923265,266427561,874894003,510444782,358493179,253436816,713755474,823490420,546650972,721319761,433923983,897577249,410786046,825512080,844459763,645374554,755087901,243172940,770288934,98165890,374072082,194541093,347940045,586952710,419038556,643003824,193800277,72466930,508552018,603220286,157535158,552293035,172169610,691861294,905921022,452886303,905810889,621421988,702643356,810703539,11133350,577342151,556176130,980341297,386172827,111246281,262392072,868403856,782482396,3467838,920572010,153361944,304645340,620641745,609398557,231006511,904045233,963838675,197657485,684115649,184811774,296241028,880501664,56017053,178859235,270370935,688613243,227135026,153644466,417885829,746950843,223498963,32114526,329267263,414031028,346332871,266862266,170220008,264519711,636873935,11515019,108727573,252802724,546550234,463674314,172665547,168190286,862225356,195668778,205187942,877030858,884769379,209553628,99565018,90648192,914297919,72528992,515907805,829025189,708635890,214902408,425019109,954467259,673371408,548447487,944011904,282006531,566780799,450814771,976818080,913010549,856084411,629375842,31682771,475815743,930296473,687960129,939434943,620140297,875309581,982120626,255543126,988282284,942543795,267024169,855292577,710484688,244211173,914168318,870354168,572805983,769091269,936289798,867755346,242963298,48015979,314032374,288712527,8772496,715575711,646945697,30337776,775495373,592609705,775698866,376549734,234003878,893499151,372322537,918870272,316026637,872631706,107099967,913431542,464802120,810236239,671018349,683081682,310692753,913751810,82225631,643156396,471665254,663491845,801683807,932536522,463542768,396591441,809153293,20834393,981260314,70529453,194576461,957892011,584885485,949666977,905318178,543514681,650897979,323448479,808239907,848570589,238288063,892757728,973034666,604996624,97120201,583514810,754274399,828955604,864783221,129123079,590726133,130888609,246388007,650934054,60062697,501338146,515140471,999015735,256367050,274804401,83201365,898147489,66030660,74284137,738562070,789553750,674455462,831251208,891282104,79025032,378306933,213540441,740533254,911765594,492368782,929111631,510499613,143527902,570464019,717212691,573046495,98850349,987492413,992445564,342614270,183126416,222607152,754811096,480955889,697471808,912246212,11358519,511830582,906240906,653997785,969498193,708784275,1651451,858556920,238833359,17259473,514346741,506251626,2188553,784470056,217146060,960204138,707383855,185008040,248967091,603177148,961277005,905390584,331413289,953946404,634977100,165863932,718554492,639118345,722426255,726537626,768650038,889341836,877401726,741061050,363143289,845604572,371774784,312511153,441309941,931195920,121433030,801965913,405314733,443130317,34261251,223852945,342408105,257931072,433094524,647982677,476440951,55057208,430976525,882451366,501340811,822104872,482675131,883027000,439511755,690209557,107127964,724545290,897038130,358176403,767526676,71747807,784770199,194243762,788388144,353696787,222080016,378448368,5800506,480395884,124326046,566945637,105744091,651543864,300464773,264328543,875362243,325858136,662884394,543469348,486330112,201790397,714701905,17471795,794207728,323040827,496210341,117029536,757318886,66023671,994320826,390084569,7609049,989047178,929454549,632175330,464054107,154766676,997499519,161555070,210260232,223206508,506745820,537082467,86431633,163532141,550188887,389529194,418073444,630639760,968549206,164894105,170033973,585163740,752475975,789594420,287979157,618525499,674932629,102066681,870649733,782538308,181637234,179576016,210623619,32649935,905909399,448946110,475516184,566229156,129047283,865955249,928124079,690833298,424898245,608124378,290484402,182607414,811018738,963292778,461740964,7859230,146411337,509321006,352905519,675014422,301328564,313777976,307395658,907005914,170194239,638766391,226463383,321971013,201187180,347210344,37527796,764485871,707663127,45401516,867441868,64400055,71530246,992402597,446152613,630355260,549925579,154484106,99500796,450977719,403552810,79047693,560954874,205857379,915657874,119180669,993561038,249742926,992339459,846621219,633973561,734062714,548436015,523816558,992554138,302131497,411142900,545958423,979659030,726054181,610896919,673441834,291364559,195131810,253350418,521248625,597792024,123152044,631474936,891891481,945434758,300129615,223450977,983093477,570077055,72564173,295593051,144280366,460578104,137977698,726482693,619092339,343304619,937869951,395018238,242895827,565703067,323975133,731964669,923642172,667479858,970650812,130042204,924262522,786690576,120440360,193577670,285263553,4110201,112074810,47469185,148231887,110028303,983578908,57161853,192310071,67030193,916291040,791888272,686739157,464083780,431751653,858121232,833430606,368010856,432034387,486928273,9979131,913370176,326324566,579577877,545519390,255038888,74827808,161829602,9314951,820240265,362567122,706277025,937758995,190923454,189937641,79016800,968720596,328961880,774661832,262620680,896929039,289382886,29688040,569172341,785242981,606307739,542468607,791221312,807291726,684787619,998746266,656983062,67353081,629120156,864036779,180212650,520683136,356887515,128357978,280099242,988755379,209258393,744789886,660257090,138293490,168675196,284800975,658341401,96135158,752175902,306751521,58915572,997143060,217076801,2448239,527266123,112640114,323298518,471813938,684238656,298540332,982009572,289216980,928353871,258408222,56266870,202595244,649227559,431120072,679014346,807752559,29346483,77036141,306830909,385040443,920357732,566291188,724345393,167313070,611467938,341473405,468094232,624830102,388534505,599298976,651276536,505472148,460880069,199204319,633328214,75828092,881074136,265864206,157865931,679949084,359335862,562450371,728788467,831273476,584131340,629221935,997873195,612344691,979379215,246499147,233528746,236312359,181181983,870302610,671574941,570423193,87665262,795002378,299318633,724839544,383776712,129183868,352486786,46122183,507485985,516756764,7000548,721729303,637777772,198274343,448303037,697623750,617520877,956114185,274821449,638170887,513329047,800154160,321489129,547366342,66094603,603171134,118976572,501543320,519239336,519949476,389759501,680565506,71491258,515913005,939744682,678363667,85765388,872603263,31137346,635438863,763708663,550609368,906456289,839592500,380843569,983730127,455972118,151699957,926195631,108246383,259797120,643359549,790562064,271961235,286329088,747495754,962290167,380611818,744986190,364431841,293535259,107988351,786314364,624660049,314933286,451229666,543249365,989891680,87749619,195637914,342524124,556908375,159502901,764868190,675217792,372683282,82545083,452198659,176637684,447083821,740133772,54648884,822680364,580592465,95353830,112705613,609523732,982907184,646503295,712687191,99634123,309250597,270422358,179783274,134779492,845346053,520972613,419184307,734390729,658716005,455183997,460891306,446785684,123769045,913561815,103667072,621858071,676389082,434796738,139835346,436839893,948100919,308322100,307508217,12089416,220213884,578842381,991226707,54267310,594467748,444606975,376215344,151254182,643461801,971841674,101941488,892622833,377990290,914369003,431535676,996506628,312058785,72040559,909693826,514117621,713350649,498275398,832697034,530631655,800437465,778690036,594974040,889990747,285292390,590749338,119253369,613280936,686408118,540132267,872670446,177331931,901620662,955814356,410020975,176518866,135758423,214732260,670228121,700256742,329866914,207106187,423624747,313418751,154182215,500482590,771542710,919125971,422635417,196709384,285995452,853481320,401796190,51134210,518625425,148026359,523389801,976293584,740871752,694349536,624325494,616566279,837831006,623098467,851204649,768618529,178185240,615836825,873636069,253375452,72237237,396388042,670106545,317432856,655955177,69250414,832271956,302325823,903116080,273987363,895895505,715034731,281436620,785337144,787673271,58656481,835933541,607683662,587809516,477688055,488679437,348251650,981417290,353833420,163886192,478924054,427516455,921364245,387092158,205306404,658692135,944357178,518112250,390198569,880154961,571564362,950167718,266212462,746360397,668373321,422571536,83905542,594698478,630376332,579041199,471744519,959995220,692195421,635738904,650086145,322160655,497147022,986532275,241795070,613893198,827441333,531461479,374941697,798124926,259386377,153429168,10054967,92710600,297419678,189027474,107227119,847316279,661576281,411383787,462362931,500860338,531886033,705333395,428784554,821464242,918977553,239745022,170523464,796457479,342187179,341832502,881349889,944946524,803669796,24932496,779266289,907809710,318214068,552609484,632049945,158123505,48556835,863713679,677325563,134902862,768168940,730850613,411743549,900187034,925212202,898853195,223778832,543058841,242000589,612684545,517253273,204429273,581796069,160832072,239426176,256150276,15262852,937369429,205756336,280143624,844798499,497131058,385029232,671990228,621169070,500970852,909193838,577578510,546392818,79609537,976530226,156714390,287036682,755810543,948017972,155329425,578274653,503079257,598465749,390086486,120035795,605005039,668686690,600173688,821840132,776094284,276180434,465619111,35126223,208601329,618012443,295149803,646845649,930280544,421182331,46795126,869832119,706342502,583450787,115894908,380145207,570229621,443901726,791089220,970809137,621788254,737158990,112243429,351504035,932390003,658560783,822060186,538006496,259789626,44605240,603020580,233199772,369059649,141541140,5851112,624932162,26503526,915353171,395811366,964362226,762594398,497752223,453892137,25111977,571215081,944886052,413836522,879526665,940322681,813265247,374045376,897850211,732249503,769240522,749592175,532633692,753914219,209892310,91260031,655684428,693140848,651393476,1566209,793624413,375586535,890588624,814740341,648387963,615265215,726158582,705880264,948504501,618468393,901981709,266308187,456364492,79979372,221506126,522772635,345359365,571808812,137778919,933032842,451369205,567148022,132429850,305200351,45119773,789262650,811887706,59988970,139538378,518305929,371909120,358560701,368624982,729607691,554334200,65794198,361089994,771669160,330994527,871957916,264647721,724965853,852248656,358223517,944170157,825990779,994429328,420343764,685105148,830875786,336138763,479204731,837190993,153665899,311452782,152626736,919786348,779018510,628825334,986571788,130166333,712596195,747325708,490522724,47928992,623624465,598211896,528686234,231500958,923120545,784050979,830234585,822144694,293818966,865639204,183254222,499555269,790030041,454615151,224902305,498222488,459156249,845377085,535326588,254234362,458546732,707615011,349950399,114393151,528840627,450330609,586083518,586401832,857206728,645667725,606261191,138229959,977043812,560195089,289741584,522622044,569641675,508919607,140247980,465979808,873508970,61275921,192658072,467740007,122457980,266775964,117983595,481498709,714164833,438822695,682182001,764713071,948842975,492352963,748794115,477037755,770158787,431684757,399056643,175250387,653977438,982251198,791589256,597077020,515466827,660727360,744265123,699762977,468273214,717920427,977811637,17295544,485412584,955653541,946288627,638371201,807382042,507366852,712687619,655921843,322648008,834997890,213187876,821916460,881863521,807020525,907598365,337455788,244875674,772592640,600394377,136355183,746818967,450692105,329243090,603584826,655176979,923907009,779750167,233348619,550077087,888742577,710570413,971871168,552825474,811433605,465182535,430711008,269897340,836298026,245339883,44603836,391534620,715021260,264774255,882207133,314768854,22791152,761870346,744100789,220324234,558226479,909001131,641011842,760646560,595023385,187315107,495406312,363218327,570798546,427887821,607667856,594461663,520707277,807702400,334608448,225124083,591805076,904497165,362256570,656694368,549144289,808446998,579740458,53062711,624038512,547645870,775629739,779293590,370165279,785685877,305892908,195899848,207496376,928611629,290294943,507919815,446687017,732526913,101492293,856296892,432867262,576186436,402446762,369456373,599649023,486939074,425943566,332647745,355500314,757181475,443834820,489908245,221431986,798507379,542523852,392530986,345168491,404116557,855957849,216520279,166768853,713251959,968367823,334970417,181138906,143364883,556797898,261774212,285900954,923177495,652467067,843522407,673338531,954812393,144515076,433168616,100457434,197777844,272038290,840095777,320682734,525003494,898496675,270007159,274388867,461952967,361650675,255532177,134256907,554429003,229809589,880060062,249872599,379827621,548854579,438419757,221227228,394136675,45725447,561403176,958391041,393232485,263068688,265438366,424599304,503391028,635144936,586177659,997659941,650958807,497990351,81434297,925412142,545062321,907924849,154430608,780745714,900796565,519963662,997685621,750988545,42752783,158351606,491278582,811862031,231660106,525501159,633106361,966317411,766855088,703418146,817797809,450042273,932832885,180641814,967396929,190842170,648047583,935754989,336839009,390924247,812349437,394502469,4590354,810932907,299162387,833092198,639278702,822368606,488403292,815117844,454860739,280604167,889416813,781021574,366096585,144968181,127690879,247742159,367541851,780146041,358295533,975573347,516024447,738184110,569745923,840048428,788601269,608645739,786460501,488022081,454273689,492767455,275381778,105532937,874272580,286153393,813885079,784816436,263690324,41871146,252096507,184848591,965632287,252707786,508358707,422991248,373940210,996029294,554793251,340414391,538487413,959854820,133565312,228041104,257374956,16611568,758518261,107570607,867802392,484042372,786445501,766224458,848739548,738236982,824069126,254494117,702139252,395505084,714422446,426312492,312590708,646254434,598576926,489718779,775084909,905021385,28072072,950517870,169600266,997752584,920390699,77686045,651301282,421435641,236030525,896276504,71431628,678964018,484468426,383066993,856156209,611387296,42864166,25060204,85825254,144402381,593481901,935370886,684463218,91279349,605761403,336422521,670376253,377678962,193791049,148614979,417488555,983251342,453578822,730156029,470133701,648939336,479147392,184133228,970292507,669815791,221470917,762312104,828607037,657412451,365116514,353725436,604147431,128366214,165993139,439746679,804147206,834059720,128419088,201144969,424448588,491966688,868701518,915175243,350671214,349819095,473236039,749619912,476193073,755962005,837969655,982355965,812889892,342763524,88253398,27260136,93131742,866658826,427025948,139565966,345495661,397928768,293399866,378266924,528729131,562356627,615920294,231960720,314550797,741983866,827745351,437485977,463465279,903844759,477581973,187739015,631291254,42508503,550991362,47451744,750720221,767783585,563045360,878826552,245797050,92834700,552250981,440548081,772266562,3255797,199146188,876518239,185820781,758852515,924687034,420843941,50454684,745647987,699785760,324579243,195989932,298093235,168344581,103704176,772343011,355193995,604294703,230076914,235800982,965478310,781189498,750493550,761080425,131097300,220717253,668489519,411336001,226669116,864508661,227851847,762290279,495333557,638229174,919351296,670196457,33657753,432650198,646093454,537383092,980022312,598753929,734787605,917155859,219021243,980022055,269067064,776583118,149094130,514138983,850426542,307520978,482757247,268392174,607338163,152555836,507284326,285929982,888131650,510374479,674431977,369987320,451450027,763924936,538138601,690805388,849594916,633589027,937038176,491455092,951357550,238448445,540333417,432015532,69670641,803556959,38362808,603438852,788071033,176860302,187776501,787350628,857400488,694771492,788923335,72943742,348171704,6937219,311275897,725969901,864749724,264886453,270363310,934876034,235148726,386831867,483268833,157130996,142984839,457063065,139184428,302109889,367171922,837761235,549274047,224418777,870267632,208193490,488285169,852447224,507301052,45225153,46224249,924256500,994390340,760161781,76440546,153425317,520081158,317710456,919349362,339854178,905448642,459956182,8973104,100192450,620445893,803087594,754654562,360026240,824563880,131603969,540891273,735193709,994343257,227720404,455788400,393233979,23111734,713284323,478560671,8298919,669166660,911684983,849874186,862180172,311496400,817157046,920424691,540167601,198968000,117019164,518721132,366496262,820836798,631968815,342936842,152775910,680670466,972402561,992846393,485951075,194100817,699579258,730283090,302263875,497279864,819643733,645523528,357054383,332616724,709937519,114910197,830346743,863100637,330511121,451222411,796152112,296632974,431312315,802269911,384048380,852927576,961942307,833151806,225410087,86895951,764776818,34010383,219198233,166920800,372269005,833376338,623873901,854709870,371199030,490419406,436984047,435252748,371782348,728644992,719645325,759496656,547266030,242712487,473725186,166582119,306558253,351736703,482972289,745605422,763649274,848291010,134521238,822918813,70559577,169118030,633838309,287432670,801147883,891175225,509084210,73769140,550755342,806145346,658957964,299641265,62025854,564456547,968813879,432804960,308698793,373925099,320614906,500718496,136853297,738459928,542130425,728820527,444764726,948100284,424857548,832004192,350652329,495702710,709518584,232724247,902059401,521078473,421778039,368752854,859413162,305228196,569612959,119478576,440939924,336556669,261837223,454458371,520640162,439056500,112851905,998294024,78011366,453448739,302871366,339704222,108838781,103878981,64776946,148823679,385969505,520961502,182901508,468065929,351016973,314484154,154941739,455109765,760701208,719822996,816587809,43960368,244146286,625605355,101149226,124858314,82047885,26907490,528419479,18201173,430420596,956358821,389090998,789721765,680171442,984264344,209885149,640332817,760804843,584776255,180409136,138423134,325709960,879311377,47679525,894576264,413399275,959832635,863640295,13820699,300580016,659025744,494867159,933143916,822920348,178813374,759299732,789471099,820190118,496599515,528007880,785784734,8914162,43878697,649902576,917140509,461088305,439717817,810124900,116815509,372137600,834308431,612644741,399525031,599777196,129949141,952217753,171808098,158692196,201484294,856515821,898348168,677072565,518213247,593385160,48129692,587503115,108953611,95818029,390480872,381008174,843611590,787741708,146334505,984488266,86158400,700151169,333340323,396976975,308747539,732319739,111398730,113517701,96868199,192794002,882186080,772600199,138860098,833178375,991318904,679272344,645755335,315277129,470874546,340903216,665276379,541453974,936499501,68492445,159830857,555515333,90352805,942468123,649287938,146679523,168552478,549284820,40581880,315799543,636176607,785469953,248459588,991426005,45281277,364817769,782737803,417670028,200183740,960650569,425180911,902347648,918643232,98165938,665365073,830330706,779459856,620234398,621265505,350332919,360514942,393320082,178205209,363756069,681800704,860836831,412464790,907254805,683436192,386708006,81966382,831895588,438322346,771335941,851195299,262903444,362016520,577700910,524529851,395853554,29581453,514235576,916323139,166069873,552278366,104787462,162558930,859281432,558312887,273555689,926454675,35523670,503009445,384405345,313391919,300935107,775803617,199983144,677375829,255235157,437308268,38992385,691498147,393760961,459290330,570045263,512280920,173091726,915870991,107987562,360034250,511964762,520548405,358290560,507755374,787378854,626460760,344984838,323262078,147694093,415185826,955567800,534524188,298180166,619674268,542017515,498565332,912458161,427589188,218463444,772691156,909025008,250866499,980261899,726950920,957754135,998664042,24038709,177262083,904723467,686634388,710786294,945460309,400081307,142203517,120528766,264439996,715952108,236130930,81412663,360711334,616911473,662901255,674504723,173898834,290178335,199708283,66948803,219407456,799514441,790629518,852009907,267446458,201735813,246692568,88578940,521331956,333072496,808671993,775564396,157066897,909177288,126066613,630024195,119830083,143172716,224276862,374845680,993832865,196328254,778680365,100146975,634478234,470117916,923060320,875662124,329693426,396949326,734130223,875530075,270905123,507985957,747726108,258393733,960250955,650320393,900663748,646155245,447349909,338573777,365496379,499911870,655192304,946619342,860709321,888012973,596901158,161487796,155253723,379866869,361850807,470434032,198435307,390451624,742197696,404274257,787795677,217164200,987882578,558085540,813496129,960070920,79661137,992813029,69551410,821447401,255386188,830832473,140200704,933279552,989816054,794192466,929962900,303037916,825539962,388030892,968769404,293369937,50697572,260294443,363093927,79610849,395494978,620029582,10447421,840208677,61534920,688940886,597338548,962242671,829058615,958565296,170622305,237673359,719011736,205901300,458203576,709980094,452238074,982797047,979381043,255585552,941869452,404232752,658131405,72855095,101559157,28500704,491876639,267160413,140384823,550593393,256089395,868551562,681505822,483686217,98199660,677816132,32656871,773200316,558203967,706463633,607418347,767817049,738161395,81670994,885981387,321859977,735150361,811633825,752686176,425341719,335446305,362976768,14219295,242572822,829850439,986768223,739801907,786741123,53905209,492954185,899575040,354738683,400346132,773910718,787349171,987756595,703241585,466753437,810102731,313891511,127768627,963055664,167532012,139380704,210757637,80275374,725562526,158612911,768673548,399239777,296046228,18733021,259443899,951401692,304578130,361593173,968880228,499478253,905944420,641956050,634436054,872858913,756246700,636891894,143677994,507846322,65983489,866552315,911721324,199578617,138010139,895872459,558060259,836837413,382085674,86137130,48469849,175712288,939144087,844615659,527693142,631501139,264272292,103792046,135559902,463648554,1754102,884054363,593355846,864901717,715092347,337104853,231826461,293325247,8241697,717840439,742059191,63575367,869761246,226848070,832080329,377080516,5642107,170699949,650518782,454357150,200931146,213628795,455060744,629510578,510463964,64326392,572478373,526014792,318866774,834954897,582861853,137587638,220143913,514485305,546627850,315178293,779178878,970060564,834426878,170969055,265144765,49469628,621147583,121717237,164032844,716776424,847118718,286106460,476259318,166963335,845987665,905718101,505234515,436801819,991078762,829358308,388702699,358874564,84569656,119198226,751879906,59425510,53755153,96483122,128874317,785923040,197760964,961812638,754247836,423564667,808920603,552389783,171942634,249773904,473893618,566004619,942065045,345329399,289859020,792461122,100924548,396539988,243521503,291604159,475206596,620423071,780660364,699372649,490130952,191872937,893361484,307439183,483700259,433380111,39630991,327046384,134668244,777618401,127853473,731602649,147770991,880346335,867055264,141750688,94168423,159398680,592365508,258046208,758684531,472764697,230273351,46609993,275451259,638261768,986116432,21861487,438816689,327259985,133899256,848039307,186421485,196239338,751634526,510698909,37997141,136870089,87051574,648901360,151109939,702782002,507566740,295509734,354496162,500413155,762073381,350949112,638445805,902416976,61864546,877818778,612752543,221352455,181868205,707856918,571531280,231020087,306994965,953914262,807668272,740783552,358400930,618031279,964094800,200899302,700871962,627552883,349930543,720427034,324554368,737330987,297177904,767931131,601237654,667706333,510549261,901250,984603966,266067613,499232717,459576860,228652703,467892087,377486701,446681606,217619426,961747451,77623422,284499960,863849290,148298889,5766965,53047027,582129751,132435067,67862006,732465581,481681919,154798153,836489341,422258299,677772155,144079050,905270656,153620695,381513406,174006804,642431609,645292212,368577674,512384516,592924743,824877668,12187023,76098338,167973054,4175822,765694364,401845221,623748023,743269201,624096452,802219001,980797320,687389908,1641175,257560397,224005916,5757118,421050715,933578683,550951237,383393590,967667083,691506177,76074166,67972827,224293580,601375087,820123677,354274896,130420624,630332979,260228986,92988385,572937219,542733311,490100049,787891310,21709148,344331186,253880059,329020633,625679960,41394059,137005743,199797943,879681033,926281704,365239271,665174094,413204795,308451438,410401654,855179034,116432526,677993097,413656998,669406381,764908501,762876935,125969056,820408234,511156870,120717446,915674521,950522694,168364222,718341641,89009193,254773655,861948472,842554878,407836941,695684950,225954080,990153269,231036689,907142842,880675161,600738779,30737639,64753456,296121201,387198333,364384185,963338121,804121042,465278358,102120752,196698776,755377151,872418735,795181554,29866952,366687047,560521084,681577557,171320119,218696537,299448767,970597238,961091948,348579406,73560350,939944829,962888709,685500516,240579040,672799886,985694464,839818862,512790724,628299,806149903,209611415,104450300,161704848,878899090,567190449,984321512,599268611,36879775,508565300,859736727,926936074,498014353,622438077,375335333,53578623,759585154,755649259,449173842,340263663,36452316,535071986,948580699,27720542,619965027,103937113,710342102,346355046,847927408,312878937,461969785,186734596,402022606,144666165,725038312,261714105,179967034,349956713,228079307,767557268,259058593,556821401,726966268,114097716,538198586,539185104,615348821,717792358,623589418,870679150,633168651,877468075,983908722,941758621,218799449,925929385,67538920,578159526,445969297,108095976,474125159,288017579,660452066,35612659,618080948,916892000,601316618,757720727,269949934,68199084,186037875,895851576,982013657,367298973,664255233,651208853,480910196,428079022,69357082,508419878,403856734,275690710,905575404,700553418,554856034,668454989,30356231,86803912,607840019,815542939,622216808,247119823,424743733,681632127,210910930,721250991,902313831,327607253,988704284,404030313,775774728,312521766,127537644,22812932,440905526,772569430,28732923,119704297,240063637,794937227,854101791,853823464,221833202,37609028,461274490,519538841,708223574,318122068,743248294,185908539,117759162,479098346,725733145,960128788,428545806,627195637,602246812,469444844,196195829,876901340,166910037,652651280,784760124,200664105,893510456,46219243,837640357,864815689,609788395,89677844,142763953,898949995,670882754,682869166,381539847,864954356,650173316,423920660,843663169,831116037,746969347,957639114,577377652,152366954,587236938,819936316,434949335,462683938,35327949,456496230,322261150,989484498,153591426,816615737,324624638,490646020,930775454,320633695,27672208,994828255,324699394,264102322,128762602,951577337,741879785,107538821,192079047,136368,44518687,372120248,879797815,15584384,933528438,466698897,214882618,862540561,908963326,94673093,273026276,544194584,748189688,658497914,161565874,927269561,622245138,640379728,967134458,77812262,698434408,307845102,242320976,867276153,128008212,976440348,649432958,294675452,95885645,450962849,1513466,477524414,579289190,58601743,296610706,443191431,102939821,133760022,16174890,404299584,65438711,283963186,14055203,261443111,830279042,636555881,522841483,88213601,897646669,246858781,794830555,509285475,876290521,890146949,336816781,192072742,680339100,455947903,970547620,714586287,221935623,445788640,418663288,169655716,86305772,377732984,443719075,513386363,100178245,316690852,812831228,424395511,713812552,344597802,418083371,511948109,345762631,14045632,442734880,535471851,24471037,865148236,126351841,199289363,314555202,37738322,105601064,973169994,816071539,425725865,219263197,23554247,801170499,520672802,766614977,733565832,137089103,922897795,102788601,14760328,37514022,870270148,949667867,75663806,603997080,825010353,372583433,289857345,929459501,248591661,539723384,987892953,152400915,966164648,75548906,97729278,357740532,94945706,603470307,538252491,583487202,869329446,775440966,716036780,904197169,805506979,411230000,927249874,274623055,709669351,864970397,80025650,310512220,691041334,636028807,452346486,378966118,864501115,585600286,866911327,710195334,290406890,149718084,252629020,486165459,978465374,772182845,741335579,510452860,413260391,846207585,431304571,982355791,356526620,614536026,874974282,535928387,50945352,662803302,698044481,935586519,736529289,54847429,403375537,178622302,16700161,465501131,602055289,802137624,418783723,820512994,763468433,695380423,284195836,988177919,712089514,120711347,20203365,885958823,324996709,796729946,941178094,641919839,416454155,64852608,687779729,319164378,692269278,294318511,24265579,745306824,310643251,413268661,380440536,441088151,998029552,810777697,220051058,453239696,939276594,913826228,866401893,562178425,726502014,190790,182907004,226544348,709417742,315196883,996758676,604040966,77003213,323873716,160923281,688797098,625974536,533128992,286817373,806447309,674883756,473859315,680156199,955553605,563873175,715289405,741930801,419956180,435139337,692750488,151598665,314976398,939996163,565804938,719743437,114848735,551376072,37788132,454472060,292807419,135190474,310250368,181425178,640990782,235290540,315687328,994403922,892816795,360959184,314515598,769906139,658529107,997344471,559037456,187042385,33441802,320405371,378274234,701689249,370730844,458597005,31647897,499673416,305944895,342889882,745299825,54989551,252324367,942134927,865366748,880147043,85472432,213757478,559088340,524813245,697106555,235808096,974865539,629432578,262470819,312597995,145352878,270253473,281601943,773005029,359051247,251214385,811379355,481267910,38896873,881894689,196215345,877153584,244968508,498225681,430382083,200896771,772278013,829791905,806094000,148255458,171283794,170088444,352692220,789933496,430866825,600657910,259762747,99723763,849822203,743742943,778703812,201040914,903397582,8634915,876048101,221783715,886375285,121913480,455296511,632727766,350087416,738097003,988750606,915520177,147606819,865063990,438244332,258839073,116491429,915828762,413663958,62294999,196005612,644802175,873659572,568091089,176123254,401278698,522040568,723763651,391116815,58279614,503731559,879106417,323445773,998978336,296742413,168673808,291977504,580766503,466546115,399127808,821213187,975374074,633212003,636011935,379306772,880316891,465452763,573863068,511391672,215349216,943510852,652792043,280359799,765269848,112097141,881657054,721613107,950798335,529210349,170008187,345750928,230231424,458069181,554089564,972157932,733726735,724477718,520860235,807599967,609247742,634809555,92091249,298178693,324468711,787923786,903732639,581373770,655898510,936168841,943285154,731576905,370072686,333131550,790038413,576800840,983118315,9545579,101161544,38709964,791425228,999552009,112104949,661274944,744195930,31201295,537498003,641445481,260299856,156044053,225211225,827117935,785075044,962100503,465173904,716164077,410081794,130559159,726316186,985526352,715997034,807614462,199123787,388222968,679057825,570646718,195487218,439127122,659151257,842068991,876046760,154028716,52940731,435712807,991523237,263739758,534655279,987991414,282466413,707320567,813992508,526312862,440673102,980076409,943432306,267964628,85253830,501710756,238878772,445965670,587454850,741894036,750578503,464208721,742311075,509377580,618787213,152273174,651255116,955605931,110029630,853453626,138090005,845105451,824042533,377439621,600745380,190983269,338226774,297898359,646792454,917310354,255721909,399363664,758712792,706264999,279020095,240768125,146096485,319349662,317032616,736397875,203107293,315753416,200023280,274188817,677768309,926008356,111411097,913574053,908883082,794622060,112404619,968884502,474221650,996598046,222779187,832049730,655642900,509837417,104382145,454615217,875894137,841699415,292781145,621726784,361151304,481130359,948064567,776559324,511620232,878356810,869559988,183052101,122407479,337147442,570951813,660611510,177232061,949773392,576999176,667406324,616766488,405907553,891549446,528129091,372564206,843853193,743875402,699154631,3728906,192427827,127577299,623330746,629202123,285113953,412911188,559056730,865739546,487159641,850075372,74225778,514575643,239848102,36167014,844193628,992212681,405446563,896720178,984885374,833244098,23002433,848668870,581795576,450649001,952819865,656286429,192077096,16714468,573919626,137775460,153498686,843873498,396282421,673617197,825015589,15158435,230016774,613748661,83907757,12101194,799779380,592994721,133509040,659440368,474927252,166104181,179245989,912614947,466417455,698129598,227555592,406745222,357861664,460196880,560358206,328963702,658630354,185115662,12588910,115249929,154907273,39238338,798456322,636076189,249091271,504352516,642112893,261690667,321584151,532999921,769430187,320885915,551223059,780871092,958142560,579066385,722188340,783157363,75348747,483485658,276995261,377162859,889799808,433515996,456180893,34054517,683175067,709847001,396703449,476419604,727972314,313480325,966154525,324899959,196321782,883481755,706985211,839631356,845799034,874378702,904024642,547273148,878608836,24592016,86400766,287648511,485566089,376508053,520576788,683396146,383115663,748919806,850556146,591096817,229376747,263440731,694607840,604976986,496149818,151672659,895348190,156157254,500830004,313656027,954052944,313378385,245116555,128878539,498194156,977995791,9179908,258949498,494211597,632001267,162160023,26849764,137915720,717759610,57834200,193095056,384748678,212914555,187628942,459389821,66906177,870647564,520576219,699846957,172228385,460378520,410430349,652933927,977982210,433974164,143282888,459014005,482080737,639138800,76348095,201907954,618568443,859782429,922448719,941642798,525016770,829450362,738365383,780381484,15566440,622975522,131477002,363473338,907831944,923966421,175526301,665636052,642154260,536437243,653275870,102892721,668764292,625923375,17235872,990514918,700031043,507825924,166335487,389974967,754921276,15410219,384878083,167745662,320285234,999589554,648172509,187809486,321609465,948992267,389541319,545306838,300333080,797377479,437126453,579125238,630531701,34124535,44432382,326260208,513647302,64899699,205025603,96672056,168444566,336819364,949081872,25570228,609957027,916068675,551740208,388862007,754814810,331392991,210654832,374497639,269905365,646975743,428433851,408546345,774731210,457544413,415447228,900545933,417073843,395708827,908205165,298067916,605663224,862952292,319835730,29339629,372224836,84633855,712239672,460360892,594352828,580757309,820097489,785895564,593800909,759161834,970747139,74518126,59310720,844841797,457578117,978488584,445724587,687541942,779738474,552106753,872194395,427164159,132688135,551869447,518294865,515514177,712987547,268018263,693663735,857464273,290672050,827559110,867316964,433779250,729298227,925645017,280468498,748100007,34342459,876449610,620956833,739423238,296635864,318434975,153570483,321083806,818883935,385570821,444429816,230208698,107586150,360010742,121973798,407271237,33716308,741745098,25619487,286551254,562991503,265406628,940408978,285363106,196126290,881543780,639739069,619510246,973472818,562770281,230395630,649416183,787678418,943291450,181004619,702810206,883522455,429569016,256666062,116576853,510938443,955328657,609525224,633213104,962743649,884977484,949410652,299709902,607336615,677586775,571898555,802233848,556754061,660612774,164686710,72538203,15743479,898559574,70298781,820538137,806007450,464979272,11729107,76448403,938626764,602374900,206143541,116584108,934331780,385695320,586434624,302460713,707999398,126804709,739359188,599442871,598086236,913296963,481945159,91143098,764339847,997291907,387571584,623425779,15219512,95183113,859644165,615177011,963807200,218690730,651554833,120183226,152888446,394763769,497167888,260520495,459145904,203772259,164562603,986315090,216730162,410317122,406478990,692391699,184455770,566436467,404833569,100748957,302034717,402218867,417923093,660426531,236121669,574210073,607910583,604729770,915428440,756576781,109334213,202613706,284114113,120430006,547252931,808743496,524319665,472004981,862979789,793755043,929087563,839513656,600601352,53609750,48430095,154918174,305662563,543706531,260870792,938258793,945981360,175281123,967726971,571993476,903502395,320956129,188844197,705827323,970023184,329835052,609890730,67504262,203642753,226264053,229986421,732561368,981748095,788337510,547395112,290376748,515903893,146280411,215341408,214621074,705059859,182933886,209679274,248294991,395529905,294956998,638172920,276031904,398823438,936418395,385304031,468540455,430802930,814195576,101958716,351343432,661476280,574578333,669979095,201284737,853609654,218395119,187527139,503732125,776179057,710904304,954037317,462526767,9363696,562507199,565102876,523833944,426715730,263154708,124845798,317488876,386662887,445394145,194780153,471675495,950697508,95919351,104254091,964876396,675821321,734157083,237985842,481375249,107137786,813241838,154979674,67859096,414798235,151204026,148028332,474274608,525899639,387973866,486835351,132597307,529894295,858677519,374958234,94391860,722804890,6283233,81167880,914976374,508438608,405875239,547620279,302900305,60452166,707631188,209398027,80349536,16111172,814464344,694728741,239359263,431354255,954411278,637973687,695899906,448664520,333112807,32780515,614238148,611081379,919555535,768940456,860253171,948388273,379077075,31191248,677346860,796119318,291346737,11022551,126095195,668836490,707211409,897534939,374399960,929390576,764174143,150323499,620844294,671674318,780677573,443778428,663583394,77396886,928406973,179897896,550683596,560220114,424601567,83213011,412315973,355052149,330453686,903921245,981768209,766456527,853643819,584051731,535009250,652921278,400015173,304725983,435634293,760866705,613681116,503306502,102427690,395253925,752789066,434327707,993499715,545455215,908742344,805661753,758752295,194448106,44051155,614277559,308190113,361214834,289063811,423487738,327897978,93483468,101305108,781397609,36940286,53923503,993676693,977136717,493860226,186809598,958911233,865531596,963905101,403757203,789100927,650374880,341790280,143617155,958155419,944465258,833408346,614281708,280644542,428596523,215641907,393078711,274358971,843271526,263114435,580448050,888554498,69663760,224456741,378348229,400575549,175603428,407955538,994129104,894607140,534180955,693243011,323805130,593816603,999509848,458726229,78363806,871615027,238545790,566910404,164875911,847913148,155033886,890649291,420230378,273598488,136651078,403034455,457573253,625290420,369134075,118972513,88952743,292342164,11879516,274166601,873356290,558031998,515598114,356447692,122972162,158089453,528641357,637344387,452429901,932414022,100746593,868503880,733354667,630182551,727531987,474792577,992176435,509128871,472289909,180913422,954526850,40892348,643743171,890708651,518760537,305227017,519264630,157673080,376857428,172600364,756447837,57217709,301231781,342830890,917237930,731825733,998596740,460595081,742201819,638318387,852533653,420662416,857394897,689876567,134092269,62460721,659474663,695190750,954216938,275123182,267097198,78124117,963225932,666699681,127684556,441050005,93841393,931216447,680396817,177527270,786606270,381660141,601996792,950755851,722234198,506619620,925317214,601282674,262040676,65764054,871712071,154531340,611894450,33526667,165776186,608811783,768041518,652120931,216054150,502670312,844598754,719188256,734736754,214804351,318095063,339001649,668528630,437354387,374317415,280490696,8402771,583525900,142952813,497402140,550577531,97871920,402208797,256639464,51901328,688230539,38617931,450357585,381194778,175529080,602653999,477644383,681590139,47010903,491365124,351996654,752657505,563128459,51047724,409136212,365536175,778449391,519234004,383721628,745965090,733380170,855347303,219235262,457759636,506047680,261789807,452330831,590730849,570442628,292313337,271530765,852759670,541767254,46736526,3526122,941736274,215833866,428731246,400036320,307250349,444452029,599222804,200253817,401603762,614467046,591506867,693533038,845774161,944088074,603457196,273674949,578901838,128165652,504474402,55980713,555927710,812800052,674080017,724028412,36509195,504114620,641817379,944243245,832589758,844374579,843370732,841491400,414643625,786260754,416796677,786268412,927434512,913792454,749210312,800947126,926538377,519822111,108655348,194971637,596541711,355533495,11121376,72830841,779831659,491271370,884692845,701516054,805516542,28994794,951973247,656444411,93380524,657758518,41769286,582031208,139005745,114331346,357433876,674546608,180968563,977909030,468391120,790337313,564289451,77062520,824930143,330248673,61502732,125362727,577959674,917675478,200358453,374982080,72828093,887339428,801620158,417167417,94804801,451104066,932170943,857732836,932416371,881876649,874941684,119389878,19143656,798417116,112132568,73689316,433502206,603819866,172442695,382856549,530223461,991402499,151307720,962190821,579466119,954733558,143837780,384537829,783374621,722292641,353121064,596073003,21130288,667341769,635509088,375299918,208241899,507137062,729407605,777203274,953134920,732079978,103030848,264443087,345333179,205530407,639242239,75890531,923764931,357274641,962127764,785249883,589735589,77685529,900513217,401834886,782081513,550641764,347649355,63648774,42473079,753368100,506613324,272055031,368895168,826172441,768120256,958842292,331359212,686316735,26586791,907079293,114606242,40712690,62951746,499416360,75126429,878417664,335023755,911848326,682278097,982674221,232828300,12173682,256028523,513902684,461973504,82116152,643641776,251002494,421782412,95873735,318800181,752821889,437363870,439910773,90346616,562082216,283132044,89916784,599859217,719104436,953263632,36222327,870229560,368717045,699212590,779134844,728113442,769315313,502974809,593802086,198494907,775705600,563872884,639728245,683406368,990348097,751733707,798294319,504162113,415155032,836912820,999267407,11860047,677721270,689325339,420073710,124771960,60650918,193203151,190970303,262703370,215059379,483987805,562291078,532959625,154667402,280885105,776967665,896538097,917605925,957944418,92992736,499703623,483494772,517312660,801132488,830875902,163635611,409789702,640653632,811396420,206262502,969099797,706353886,263875078,374246096,131812928,484721152,202547968,579071862,311714164,388212401,341364160,23650398,227993409,661605476,881446826,138313795,889138846,644725334,762618689,76174270,581232686,866080505,669263145,1324666,86323789,580084250,114131107,882294971,372293024,813187966,824021336,172731897,882234330,836276993,315641880,783492509,193323119,192710091,983199676,855943641,37696838,724387477,247352229,775447045,980960065,103311349,101086741,435599433,860824524,723256510,578704398,289654539,740743338,766150735,486755583,230193663,203791119,909343999,115214148,301664791,857368323,335746820,358969532,731049214,203201371,355514671,725149691,657050133,122932308,242021558,373775892,961425505,880592232,927104959,902355756,965660006,594244133,727400455,790030483,399636519,722317118,111237539,639121746,543411210,245411248,4942904,647998655,610423205,341829751,449494838,681546222,15116317,553223134,132367023,311555879,509411899,958503259,387742132,897321224,775165682,451060255,389934557,219871745,249701027,878467604,588257441,899970551,237057919,583585388,595586637,145210603,757459293,575323068,83225276,685851693,547014394,169090207,158113987,998779352,72290739,496379030,864355719,505597227,380090748,313829525,276710489,582526121,965127125,79946352,283290785,836860506,365309736,712656531,720462907,291303169,48026431,762642853,638755598,430461183,404729394,597803063,570984202,925273496,46045204,781277739,904415856,86025224,11670901,102157489,353808716,273676938,669699740,472121917,629345854,617387242,116607220,203717965,864906411,342990453,956868027,873833504,729528558,712813102,521590537,227584805,585504707,165877549,652537896,435006498,275755460,821275172,690025747,217518635,459327624,269252331,813789994,218418610,760653847,694250070,702875987,763549813,39152798,585546813,807954360,193325149,533788390,814801484,407986234,421982907,550368461,43828533,83751042,410166544,633066149,289880345,335997119,742165865,591600589,896637886,550276803,303388699,106032940,514236885,741000,604237519,321496191,168434609,185162926,485181552,23617647,698588112,54253714,986407181,56165275,687762445,865152976,277525633,623160713,845331689,497797220,514872812,730478703,356838649,624497124,152525167,904212609,916125136,69771034,168790133,504739255,545088549,689680166,652433114,655983999,830846104,702709904,913054211,919371142,849633618,120627396,457753104,364998938,835239255,996591933,611546031,857010311,246198527,424943625,655288037,644419410,53488720,104836843,504564215,631471630,542612804,444472060,136403629,491460448,658721853,986070055,983949898,597379483,872244865,489779403,548894891,432610091,644821129,819087040,212376528,826271184,603654476,115019471,340607034,989244913,332234024,943449127,994740666,867950388,967129375,55314299,892981474,154214207,11463568,867004311,493614465,913739809,259281808,593379218,28509559,651684791,518785103,488338085,568714035,875196709,186039453,437109186,463072603,213459497,864866136,346778592,510437946,698609308,251733587,42812709,760842637,672766285,844205204,229507204,599175422,219536638,217345449,496521777,465432866,309977207,344462087,257622084,941517145,103725308,734046005,662868872,94089541,498074970,599737135,477638143,137328649,727590847,659588724,132045023,643770359,909457032,654043891,617327258,167893636,579195537,10691652,584781631,588668147,530848613,191327968,715904380,614335872,809847980,236506545,107284798,271829006,963386676,746107473,84896757,684731363,794085041,759028919,774948909,859737868,859205060,290990286,763695877,459887838,712667391,877411266,368902430,810969208,33103615,408322565,417830264,699545402,116131757,85573496,257315905,100684833,731637438,455593208,387355876,879262786,141981784,196692756,984957351,138195184,580972917,42659366,498673329,513074158,224380357,101252167,258107032,273903345,138425785,452374425,568057057,203156788,22307072,36863752,160164783,113116010,294182565,420394520,497074044,820893932,589865405,308510439,607037209,163550500,547699370,525331274,746596083,290758568,600885994,885404701,967846749,757686659,681404931,721960121,148255659,921983383,986662720,418991541,891982381,299495534,252486659,767031125,82177577,176788952,228718162,860458684,408282963,463396357,576681349,758768101,380002407,880473303,188974776,427594852,54651603,188363690,884404092,888691394,884855296,88377493,569623669,147487508,652371899,477640239,218994763,900722460,308463869,619848495,887742107,49430541,237916230,144524521,155321613,848896400,643731533,276631978,377136194,338516979,44782683,59551720,22059063,11417117,568287128,365510514,492781724,890960618,291204431,264500704,44796355,612988664,649894723,266429432,930410395,648366574,332149948,672702468,414226126,416546410,100174965,640614963,679059635,831229691,91318813,124795674,147493545,715838549,414436248,827880429,244903351,179062113,543748725,61368530,613691224,600688765,814433781,591303154,589357245,174399789,741087890,781607323,926959056,185722169,401635318,620399877,269209259,365840486,446785275,710003014,960880742,331611378,136835597,226822348,702857273,54918201,603734958,487211313,558458664,942962874,208669945,872458532,582585513,198486654,794821080,443706185,308022316,62874883,496708371,707407335,286558131,892833823,741090574,48766459,148905351,459387068,747950176,593002195,164451411,868360538,953808913,136345247,954067342,306546891,103396710,675239335,235027438,295474443,522598855,321444862,658887558,535420894,261440519,181136431,715042432,827000337,274656634,944852299,106944309,850578292,753972383,876727356,194638349,433433428,725143282,500186622,32008858,472126443,908041509,696882483,348196647,57415631,830056181,915594092,971963923,496780280,879987140,51195141,171194056,936838190,495283579,527075414,954150524,692886554,996501084,704287156,210295922,828761003,384231296,282845331,285457086,109520499,38511264,153700676,57970481,543760032,38431498,916529700,443972221,698730293,830156018,315498345,808117606,922284120,304771371,459897213,70984710,184728616,10228356,37157839,112706015,483268013,291665557,393474139,655926617,115962472,517021692,739419744,41465045,899653124,697028159,960901846,457655354,660749561,119191490,591962542,158620584,369936259,72850582,211770581,46388055,566385223,950796385,772219010,500948779,369092085,436001983,840986407,408691860,981125374,418408985,163971902,688560997,925582038,183454932,399957002,375150239,399624638,373392627,640263578,825277396,16054354,228315716,687325047,866326612,198071754,257593554,680076376,424479921,615979637,40691332,223048730,267236346,912684453,357107196,251264265,184787957,116699880,297429752,80644218,349605765,466946975,162614080,765983625,144798283,621402039,139143498,61640338,299452707,947239294,153112370,951084603,252341642,9256144,5363779,982550865,597581359,967283876,890877554,697179344,843193203,207665948,764300323,849739076,760520068,299767068,329258394,490910741,947232175,749670398,414260201,447269635,384071473,198344721,457533806,367621769,76813418,932664353,183544970,484888238,717742795,12363692,95203969,457541127,786197880,55096675,511837946,950402891,764416409,939488939,783600437,36863071,770809938,206857269,145838751,998236392,179572012,31377073,633152837,796909245,442637029,551047345,695245511,962759979,344088121,273989884,83482427,172445160,996751338,848001052,677851105,133077309,606828062,951615373,374784151,34263917,24001323,536306379,800709041,541045274,819571038,492339749,199821325,686077938,372067950,688598769,618945936,881882647,602682617,136293800,897920575,105352081,98388145,720875509,170803946,908966878,881000269,873510117,241520735,824215315,128607399,7328897,869085043,537136169,388904416,365561659,187471024,247702166,384412518,467967661,201322007,914340918,39485020,504049779,36338550,930843788,296604556,29102342,331940126,273597875,909741412,366274775,407747767,59921482,812656938,233090663,199568068,650922184,508017943,452059161,135479816,463573106,814317210,811024958,595072358,601544086,138171329,198688730,969062974,578494166,954128020,956380917,890500789,17961335,458453453,98762315,949598717,26464658,797161262,870066732,502845543,983025902,49799171,724108195,730394506,761752756,278091107,955639156,269440808,646829544,783707526,438096453,554399815,313713944,249442422,5875001,403361200,744454165,94950522,671063371,59416481,353992202,346886243,872913344,851921857,725274791,907008788,847312803,267778449,889269255,605780001,112589874,889957533,58696463,296169882,902577312,963848818,650796079,86752935,773397549,192512408,275922211,106272291,984163166,238344217,325875518,618422164,926535852,75339954,28026045,188773680,222912981,888003171,30218660,709373213,257371274,956838066,124135810,749158049,334947817,682420113,736980145,866424571,802482438,955753912,903762957,688702108,990045998,838149313,475317011,855384076,424876854,705039228,205102928,682506479,712972337,553785874,996820573,235289221,378645217,250940883,399635808,323421299,441279243,993609738,847127772,264914189,571461192,968962449,890836679,473281102,690131248,527428776,212296459,881000475,743153208,940788300,401440071,797245299,25892000,671009057,223776151,810672109,647569985,341837708,66369105,241384482,770241753,962057038,429073655,586033020,641518709,187349297,498045289,799077624,335151242,348793284,476985267,731057990,925248003,203948978,880754920,18211685,527036867,83509930,154841882,899257668,934332126,966161573,658932734,336405341,625522751,400965072,635102902,981038382,112438657,183658835,350373066,854175534,928050500,220216765,345756417,213596285,694104845,712984122,177769596,101378097,755259014,170232172,33010391,445731474,682313753,210792749,928219640,161804515,457070794,243940709,999422485,62357675,677305767,799566305,256366758,718561800,522447283,892431174,752779620,839630734,674473247,821141736,445696039,482277838,556548765,547963877,919917278,843892034,68000371,98039503,788502953,652469514,290428525,79920572,152777653,124202543,647448126,293476546,58790877,826287245,97612527,421205260,89247945,303822970,943397257,997205025,783408089,497937870,156406501,976012931,41883256,923680944,726879100,135907818,648462178,19614846,263271018,213150468,758254971,730564433,331021598,792387378,480776255,805791403,4147998,863456112,565002724,64224915,273736960,189435554,450840036,713361719,752310638,165416133,735091636,302702511,786327632,539024188,457886859,360097980,699510643,365842122,839542393,302392290,207008214,654995679,347838400,45513521,118570262,565915016,80321779,896314320,947603528,550372470,967487582,663764309,340550734,457350875,283962262,836242737,899452089,883792457,375476994,520154675,309461717,24695042,805151601,744420282,560860255,958235923,319950784,4370193,330861832,43669714,966847495,986196204,962607216,574118904,131065891,806912120,288497184,342711042,887158421,630123214,521313688,105636722,2655171,447884461,715874520,287760155,584477795,139499764,821503500,913451682,437232054,919748915,438077464,328464159,950269223,604842971,219119524,677563304,267585330,130894815,447246374,35188383,579934949,575501066,754879699,408057314,582495362,99890820,369111510,353840634,520159517,996319034,330200363,505910364,490358340,98573330,746774513,976089548,326261148,211606290,301974681,32453376,187628855,706220154,266456704,771025575,767156255,131509619,133099766,36694657,143759499,72916699,260778307,677234543,616996725,511017898,91795485,841354865,101665934,716505498,116654216,52955875,737284050,814413935,486575248,9225306,377908004,506155221,173173061,718908532,111904304,654951314,326477433,487309868,287417449,198145797,45566920,218344393,594358997,876710482,511420617,954631763,29166989,850492719,423527165,498115909,225975364,393018627,414532528,676434769,906265432,815693708,46597158,881720419,301463197,433345913,332610144,559850456,156461569,12364193,722681750,596073144,491980362,400314950,791799445,881639712,144914710,87980605,679558406,382980567,51603628,704923440,936828833,319327707,988402311,336575481,817964043,484540266,588690096,203040295,86302114,901868979,715704755,535573880,565327555,944550021,675048032,830134317,929201513,107313110,845175834,693359038,831439917,245571616,458515901,776932486,923331647,809801747,148157887,309997250,743596641,890587055,785609264,822928229,802216009,771666979,807336347,680293660,394111599,979158359,929587947,747251656,338936103,931886508,238626038,710454406,181847399,307705614,765709447,281852735,485390733,55271567,445314599,926240899,746405811,568999617,276280178,894251877,972011301,995999422,744453707,136487775,348528870,952148338,265626889,600721204,63965895,547567387,141707828,925880695,149632675,957257134,442855224,16447293,1012486,925520772,615924640,274750649,176715892,713624269,946377145,312371273,149006194,322432733,649099672,700606494,359837420,626242082,962897007,77221009,242672328,308460184,550656049,733454960,687614371,471679182,155730734,526123019,167330397,496370944,385114149,583451367,566123946,765616622,625192242,170722215,566506152,27656839,420519921,822770969,203591839,385178148,31031511,395592333,299559057,399287312,64907625,188324304,539492040,771584479,205842279,191054617,709549916,808014420,778809154,645115392,805745505,20498154,923634785,186611421,688362263,620067806,685896917,405011648,760372680,799720770,877636012,404230945,327663549,675135255,982073326,536765066,118344189,197461494,646990416,123959371,79407616,703044508,559255963,547391222,176414949,748131916,419779476,55241075,114522351,63169617,225702573,829262729,57812417,987729207,671635717,543152592,471377320,854427222,844195203,803553350,834449193,257710068,495310482,150154245,804767582,894590612,302024537,542022378,881232818,153927464,831522290,629504277,777577052,586819313,800500688,310613952,285434120,322352221,659437239,312283533,74111071,101577379,165657841,365909806,850205639,815014067,32749396,407814276,820957496,714794593,667682930,195066389,49183169,575931182,277368613,927261022,99554512,824188652,804066039,629022409,777274462,609370460,314672508,382293768,641968462,855704489,845958760,486783107,261072940,383242908,667431563,687205682,623897420,397771480,633160544,210814186,639679568,344980745,650612714,380594087,83191867,524526447,892456242,691605294,657434012,226656536,265859394,743384154,789521566,342064142,984342519,181939781,566268652,24851836,950682048,627323616,380522292,89355887,959947357,372772991,848607859,79388386,378993121,262566860,581817379,133746910,473050738,368229370,218813564,885729487,409589929,579410253,507875756,448072226,392139462,111479524,107377107,589529402,257198334,817061131,311255115,274780460,145040133,998166310,607028316,582180129,441308942,102938014,247731102,853945771,298227442,221264617,511752174,766543916,50499969,165772526,384219624,115829091,2367421,311011379,472805209,561281389,474171987,748418254,28335805,136455944,702837490,332639635,383908050,855068671,352844135,535891421,562272017,770537657,404906905,244769737,303337422,511037117,93527889,415022741,794877517,679957810,424438605,320701136,94298694,166317979,174593,389544816,307592242,239802673,266491468,115991046,895449873,350083675,70291856,265955930,424096749,257592064,456360793,684307654,991028140,351972866,458307761,782666670,265645204,156066507,23868504,853497616,22277401,265352303,532489728,842814903,291253772,876669091,961336801,552523548,97451596,847767697,313408264,546622186,288930722,678242749,14715369,603212967,281694459,962390248,516800226,335841047,124004008,202794648,260290609,492978206,566058267,93390045,822338887,608136009,556739265,658400649,516167877,625693403,858689197,948956101,103606966,442631603,599235113,821452389,489106798,587224174,208161660,660159015,792635278,629279545,50108619,251405775,218803989,642134028,531643663,803782501,126116728,674571683,542427750,953196139,569450726,945241715,924221720,494771469,448635326,949470686,688917131,379596859,574429623,654497424,713697258,275009290,989527747,346253453,905547881,5328474,350699177,27455170,164384294,611007739,255539035,82610485,352191779,520221923,166323663,584103542,391559100,606355616,874384028,520595192,136510305,575669013,121931018,320268548,717590146,887668689,790321793,321318078,264499229,343358706,485899112,464062975,553556753,87398585,508931938,148674359,392140704,649563745,311852860,486518897,665997808,869675394,418139858,772482595,227760986,522808311,469733987,362412726,639895434,580947112,853456300,401366332,217909416,397304907,194218515,227275450,959184033,42692381,223239278,51074202,820382348,144304974,424949994,333102520,977514706,242413955,45922446,793686541,809616010,736350201,94882249,907619930,18000221,823814338,768347536,448380996,684827590,744682623,519354778,612366425,207375437,867384610,355762829,955028745,242280132,421739389,111930569,61578250,692623722,176819069,421864372,656829903,907963139,434635513,648142759,233755860,711255407,556000186,312114340,696497583,525604982,583211195,305270208,924006671,802073061,385907806,232882645,507620552,742376418,491133034,979290930,684667940,845526429,174114750,875995657,694252185,507814305,392505782,309918901,138217640,143915156,714178550,910922611,72681514,543728367,858805609,901069307,421235914,347684762,11326293,638713344,710891495,866878958,949757627,828463297,113326110,237854690,40645808,581456260,182621670,868910465,892934075,485407748,661436725,657885281,230659343,439634489,287298576,529481175,336648287,880156439,567987037,639159217,924252316,71372731,512096368,125124149,192388811,770682452,333730594,131779816,248590847,220932961,817238918,9112328,665310274,21894608,945469452,406772486,558859579,584693790,453283447,960593469,386002234,782677814,567303967,418504810,253988569,760607100,957424428,115498050,800415877,97065195,91063595,922688448,599369805,632179925,938073734,24934265,347256350,935712743,8892311,428918144,781329861,193466861,399056844,329353385,442521379,402003438,321254447,250407839,317490634,156271654,52540908,746767154,988158222,952822414,391446051,364744932,891163783,916575741,137590607,322304420,429546370,868171115,848724281,350917578,27187418,638712021,274537567,198954824,544242543,471665800,108113253,468410363,223915439,544651337,27566092,884705913,824399386,952793361,166727744,272460793,176216274,260702129,541630648,257763599,379569049,740745560,537642830,601710073,993889590,232243982,577904117,477009042,343034145,188106603,860151377,65969627,706097285,933103743,409696314,862653049,745287317,564705448,49919969,918651739,684984753,371448031,282351455,648622124,971513679,776167169,374782771,304061260,203620868,960948075,413714610,487424637,354915955,408170403,114535677,83399390,87837462,315024123,741381059,652355331,300857269,511742102,245333041,874780354,358883510,421558622,154921053,909647103,379251750,112948350,275332583,20261495,648315402,475794599,72172620,559996483,267803103,772042821,503791142,137152032,808331643,383253068,329702180,621861527,865335763,452284975,94654169,618503811,600539069,55019338,9199585,136976437,890106114,310509021,469679665,159245851,16694420,629914913,814948333,971679887,156800207,76389826,837415856,673454053,257647030,348447079,998546970,410983318,824166951,633453973,134189369,25951043,119926895,506605979,303809204,319210862,731961940,77263495,515734132,379863116,725039007,677975235,375872688,277141929,487024445,807825025,938283193,522931358,166873324,931124172,384959464,539283199,21130792,939075793,162083306,880348607,702969219,652259334,433844700,97877026,845383503,951601084,532447415,15701709,102865367,252512806,507659276,882532886,204035579,77223968,85262455,63685061,476154358,470234898,493304517,807253609,556241519,967245257,737680086,721755254,564136978,142648193,570282230,258185363,259599759,72808483,769946502,82164097,842899924,842779106,772796744,118151770,603686263,252483591,573041396,161608137,891061865,12148980,3132992,140153934,676340648,505103390,713865228,996057486,964902015,634694077,645916121,216463960,998578644,830907424,484646154,155650075,149797316,636027012,628214476,994922679,943055928,99032617,741244721,19112929,401899545,769559701,570681216,814791755,418221227,991632177,711745191,907463145,814784181,124718019,359305435,464489813,355724391,949943664,610441245,673124619,169463948,332533738,105590575,448351410,378839252,428155041,506876306,141115645,327541578,574136045,856172002,920387330,39637288,516386315,721213185,652253501,949557497,840886450,988613749,771684756,607942710,667222148,651859707,604403750,948037901,947439121,702719523,805211212,469431128,774465653,431494590,448654297,257236322,184014875,861699969,966924629,515256098,842143360,10979407,147869792,266213963,296984948,830910586,905008730,679172113,382214135,364138373,220335412,772447657,542742972,460522524,624460256,224746692,175879881,722951998,59430356,471760728,616405508,657872798,713757023,416050428,178772039,452996443,396761309,624754636,506835889,198718057,59568812,180825111,281811274,512099533,683569413,132667282,26694933,206067911,633028265,975555803,664834465,859592919,2092919,988377135,337358698,490732997,323898306,282909677,781941410,560493898,984775412,244760483,16950638,249460451,231669105,665975801,49711181,648215497,995118057,106405882,80192668,442706891,38913491,657343114,748576883,317354035,332293273,40919614,962218937,160003371,365499399,546276713,784804772,879203035,666009196,383036546,148085161,498580742,408158912,100542125,919615166,699074192,335238095,938571496,954245333,16797974,672948892,566360057,966243698,231397941,6841622,307927711,526622671,108107125,561470341,827664373,43745898,910488158,517183776,352309669,524712287,131894282,891368910,797843497,500722744,475223692,385622953,113373146,544758096,89449256,580124250,903211032,336761014,925988394,632132359,920786780,781487612,695940963,283055038,274613142,819434512,679286066,161014099,869344106,980391205,565688282,763566690,552714879,285772718,980667010,681682390,980403014,201873071,156527312,485843912,474032276,534755443,982246948,688358366,653158331,951310587,824437726,339752512,197481138,571238134,831793252,920368751,464088550,10044520,575646634,458562328,2463168,922642254,53118944,569780729,226505881,273242521,3747953,488261998,332244300,923643392,963781658,35064071,409295007,737810338,102829021,477804603,468587202,94162050,897494305,483586061,666918802,774970022,643861862,908763928,78940338,147459273,310421260,781988236,811372016,221428736,453275640,354544005,942270834,767647119,672599557,740840205,771038670,760401275,519097686,757511930,355120760,169456949,693602823,230484995,412436124,581745292,157234485,717038671,204482390,54310059,295898021,23542459,854638491,256245636,710810834,24062096,38406881,572598651,315411401,326035697,433413938,6934338,258213164,319822325,805776355,469702886,183621607,588613059,22872772,973202594,426259034,249416213,598104853,811778909,752053666,874860909,995191255,717223639,74003888,191646178,649017213,147743350,712568738,102755377,89297589,748701590,78485848,268012485,427136352,10768067,130858380,70575757,12759554,676485131,528920732,546619471,647035637,73009510,430623900,440901304,563840660,263105867,762366571,372282300,744282613,614712730,627970641,144974754,915829522,708251194,296966673,99682665,559879529,900728319,665495880,679216189,132753726,596146911,302519734,129133811,208336943,545696878,334708524,982427984,326869079,434592937,458486353,395707077,238885676,375230382,974502180,387226914,631420781,641489697,207986154,891528722,228929079,481455946,946817086,861215048,889110188,657470669,653865456,895804587,981930787,326255366,28509411,921887237,187498572,453926427,235801906,430316652,410661488,443048691,156257064,558192262,326669244,32006769,758405829,867047520,698148327,350024993,395065382,420696878,90262026,754398689,316388702,241681320,606340730,30563290,121030958,385443014,76722806,550854881,357772907,787539405,930114797,74235013,53828148,982292997,904269365,414214512,606592673,897700268,618921090,302979222,93922354,738106922,790387865,948623582,267362248,583310450,770022364,787796485,235283489,693130416,738982517,660944922,328974591,71121356,322403720,884364535,63433428,800819319,504665681,210672182,450478704,60958641,885611293,149546624,775730397,729602160,782174638,640673740,920798543,773104281,658041104,516131797,145395563,534300267,91876666,70740999,65624868,208205280,584970717,916520998,432502864,443120508,227465431,704409253,602984463,891944368,862988358,170540466,969861920,482270336,791079692,577119380,908918704,32082250,641875440,163527046,679966980,11763937,640754868,8258014,498129533,939304914,420778900,204482935,361760433,915698657,447110693,90005292,151049943,435081578,834868844,873093574,288936286,712945673,348642412,875713234,99614747,232462595,524682314,562103172,876989413,483269550,999609699,169830031,713117376,965697637,20239571,225758166,903535883,374079828,253771625,868818423,541339087,46942653,409357230,511376734,691245812,464279741,514069645,118678563,158598711,805950994,139679048,760245860,444183,821571781,219788733,775170490,147018538,456500815,781400660,278765722,242784448,529240759,459762610,87328849,679979825,106538133,542046588,74758521,82653175,154020037,814313796,885728863,134250889,400707306,69012541,740725445,787215384,324255418,831269772,350551019,477333973,976371196,231444016,665401895,424003476,73778677,958532511,623713776,282379763,488844712,276865665,828406296,506177294,394668715,451148759,794754040,204641626,683690922,890962714,744664964,428532173,615962344,872583214,182244238,644692567,504545728,287676979,463729129,620048412,692410111,447092074,931046600,505715250,41907491,563274602,845146003,628171043,328578123,864180832,618099785,730264251,814607000,165853774,185436173,609533906,692707255,270736675,29019359,435497882,655967911,710672006,616077275,220730677,377535116,267627227,611374490,474087001,790284767,845225066,923038372,829463259,204426960,351569485,947564201,501920111,961835301,985051472,580124237,711637807,843961731,113936248,933526727,784190617,905871788,693592011,941243778,837510101,844216780,706794313,920401188,889083302,64026971,161670171,601006344,310648226,260226635,946882589,520040788,265202141,464470970,123445432,94596385,473632843,198772038,821681351,226512127,54151318,650840644,319756097,681926872,238441518,461600469,670269757,964985891,91173576,19815433,134526539,916019356,791709371,911131257,852095026,432154215,18795776,36765767,903941066,230782634,14485278,685462709,413231623,157360440,904202745,185339885,300384331,178325625,704937606,306416028,646681345,712835004,917761156,360832415,361813304,332146855,227320892,987308335,176353816,841033537,202971603,33988533,153988220,742770943,987901658,512476690,762345161,517741626,402708342,327408797,840568507,935057889,723913172,665137809,296724441,711676104,534899259,245269356,20466150,837188529,101027265,787885177,223006481,959673520,738606173,206608367,855973134,204024839,449220299,249312034,984953386,194468865,605319418,652639866,705031148,436366908,939401348,976133584,499780581,325993926,302626630,508915681,730245254,10855096,117564498,358028272,65706377,733195896,813052643,179023695,244898547,510371782,133176351,646003779,383461411,477177968,78971816,198720150,723935961,256004754,464702135,612381065,877696164,224273695,259840265,789471016,802730620,304231569,206873051,428027609,539339670,532659459,200447979,163913108,95999872,880665755,335611471,556822603,943446432,845876775,410743986,277799891,673275401,353006731,128073372,571214183,296219002,267368169,651799078,760948274,29918579,117789741,349610255,918851194,116903705,920063679,69430973,882052704,204207097,672257556,981661706,57883684,658150236,348021039,231074407,209496169,984693675,907514560,351813812,583020688,85715072,762339238,84021212,198036193,562143209,296317778,430470388,60097471,500004535,350546737,153843844,5162870,929602912,497762452,925812926,854868191,192153749,504747170,217711973,458172402,225778221,595407557,380260469,596617299,745432459,795486718,839075978,156300902,693333394,381997715,63374101,94279717,174366963,310625195,173889480,854767337,594229641,243882919,56748180,672541334,691896907,21508322,703407706,752606219,44475923,872870919,95680161,785717086,646556049,503372333,670494213,223624782,641547364,846116001,895362711,129198008,56494186,93321223,979766843,779811242,762698193,206205300,254698645,995826742,828901204,164014293,602798096,684485452,676241545,375566612,13741541,533461482,590781961,746192714,38570482,626886055,468401313,216253320,499658690,411173234,452885947,833255196,476103436,857759466,480324297,672518813,954279774,575508521,450234252,686310950,434630947,449604567,817410996,391036102,746577379,735404594,432329065,722353206,448231107,426881862,422013430,648170724,879372482,540423409,398686392,414654241,950490915,350800691,660528578,623052166,393852759,655815078,725383636,606891047,372821736,127095834,103745670,817693365,968030415,869044305,717288729,339611649,580584959,266309627,850433717,575832531,19909616,889215460,706783942,874382670,83631618,376455699,756829362,701685073,45860067,702544542,697943443,537133654,77559212,245625181,986532722,809868992,727421633,176925806,754086282,726594002,454140940,416974818,408023045,460772075,615198392,533361006,518140758,17144931,802365626,923449252,532920938,376298069,493486392,757683207,872120739,880557660,806614015,87577539,655270983,772832340,806752711,616473969,541966185,803674710,671260847,31806718,977599834,718115430,117741410,310634690,31260465,220794242,323699294,606299787,12451463,349642080,225627172,494224432,995920593,578570587,541325730,607006767,942873136,653777872,764898245,685301382,468595858,296465279,738742491,256866872,234632488,518772213,727059795,36048654,837263275,672234638,583537796,284538590,209736878,907655008,536930828,463796715,392898656,143286259,512161555,164505205,299654308,629099174,39025237,599162100,813765034,632109916,457490633,637688106,791386669,515111128,87091655,581644586,521555587,928281895,499276459,671372076,360940216,904319375,266275316,162491200,449754561,90386962,175878599,62532370,156718875,138869011,704796982,161565104,897513235,360018352,736621532,925648584,398970764,343034136,228124188,695975888,653920606,723928403,545179233,354943304,96899462,539161102,76774562,848155736,824009099,79042692,605125323,387670201,770161055,848359847,794200275,151035011,543079422,827583484,605813526,54926168,379125994,452726874,674643433,235799421,521388105,892991124,628571215,491215354,558070874,37488656,11434335,642178394,733636153,835571704,177179527,545295526,109193016,597510512,819786166,783729396,394110241,398122918,157315047,233351415,156759936,198591553,90696858,523593450,533590771,744433408,425612365,464613551,231680588,965910490,647234837,106042149,828299354,522111046,2469940,283653736,433036686,817726229,869896847,568112837,785459532,346845126,15397926,486446761,697112012,467822622,695222925,585246468,962983570,733453084,743365278,213458637,573508129,65616807,795717057,622252640,160650977,656256515,408703293,313392453,778351653,250667734,822549377,16530247,467378349,774888868,158360708,479412723,971818131,593703772,46291126,2558779,3228184,978471398,530339957,920829925,35017471,256630908,52704956,883690039,583368899,453523934,846408854,197217373,853452421,810141282,441347032,756168543,31154015,211944515,156415743,733046031,566943074,102320811,234990582,585471199,95836413,143442908,429799179,541590241,9669593,241286746,507735921,311941628,503881128,941084556,293879435,761661097,664112573,846038725,301889514,714610667,898731997,897206231,246280890,975055014,205101102,621911861,175845448,145828544,78377609,279771640,792452251,564075561,448884020,414466901,312765262,583203850,734998825,29477951,134146871,513988661,866806726,769587021,695975301,874303028,23668097,186419191,347309189,598347435,538736184,192090556,360378836,91337668,601013277,741518938,505414431,381489917,804808785,127411285,394917322,430194671,799681715,290507930,143013368,133732367,8181551,123280320,32820614,454525438,532904873,872354131,546122045,61803641,369154955,692841022,400483069,976854131,728122161,754083376,349250425,482583982,988201272,760387406,88113192,619484530,883445421,348770543,888627075,181550778,564271207,421721432,399162427,826214130,129036003,69710486,972277669,862450297,855630877,602973476,572368955,270146316,880407106,739145102,619815685,325005011,503950437,506447594,983446286,298549562,899168486,382286278,900748382,345708495,357798383,777728590,17108229,583820289,474900826,93968957,308974662,248902693,545398954,34478476,886520842,686565172,740473189,237073353,795289459,26960251,807461566,482631557,858100702,22324038,924198463,934759844,478106299,473122790,158057599,296891234,125952218,887875777,633403511,717867609,792215481,82940337,484384971,451417431,640020668,293157053,360099952,979271387,80279947,712171932,299883613,81220602,445998107,880634770,547820208,879656103,500428543,939192689,193106141,750026716,56125957,534500560,615359392,948553787,738719150,691833572,749926490,133969289,159939301,106604119,285729824,701872110,597122627,62325443,303301146,592718344,6744491,985816055,113618367,524537496,781468138,896823381,292838920,374419958,471555855,677886680,459131942,219778735,883291579,446899661,638798411,445158339,267090132,851736777,393093579,864275650,706520854,526803940,563112259,265327338,318871059,241461398,582044374,69015060,994804516,301278941,777151024,381024395,340263783,525235406,636680333,636886117,934518113,137186923,49900761,79317545,363070987,736017769,541669152,834549908,655634101,43689533,488556352,846661743,581610257,492440007,259656371,69687482,244222736,493752527,871115665,357508250,461142929,129731047,348124999,768318297,969663737,533803618,824244744,738672072,162024191,732465172,977647920,161270837,353385850,876252026,726037822,40391381,706436649,940593782,555213490,226617543,492787311,500362154,915133167,33728553,971822948,668278397,760978683,132768472,299903243,238323055,318478598,286745300,485430946,717954039,892421576,570264864,558757904,338452072,463029786,675810341,391340686,21656789,834333949,941586056,843434526,641223367,875950660,389079973,404152651,375326771,729484622,688349326,913192695,80685989,56765421,860292112,304016101,553108086,892240581,673239024,172609026,74033588,612904827,180467526,606685997,886978836,958757568,456054058,681436707,244410377,484070934,449349627,402286284,680104516,623921198,49763657,684860217,17865000,368019477,740884351,79585503,344869439,274375640,588836884,194688716,354825530,630903398,247498336,690326432,184849708,771651982,761705307,353227566,809911976,574097937,179178601,959062006,990206177,267717471,320646780,848047033,574950047,286567244,832678160,898742207,718194247,207440483,998583962,296380298,987324494,47726452,945634488,474498761,228863936,782777129,542556405,224856954,251988130,400348212,227200346,588745512,365259745,946189068,918268223,970097944,545085833,586490744,662118266,463206184,791398510,108833047,981073050,387511522,243348159,919442465,614270806,325816923,856367979,205023916,488517693,856005978,323394994,569334202,979325140,978519092,391915458,761701549,7317908,134255887,235332414,991334722,918060120,696949913,633509854,949030564,896937961,3072426,527994237,861012625,849867528,221276797,700831049,69813203,924740282,449739409,123762709,687433664,566014931,132428474,785267444,884320381,218308376,998518791,210202194,48144614,388100773,567449814,398337394,575923164,834187212,314041857,85100080,136970524,112671441,995405516,788909937,231029797,951629087,831733892,102802741,749977653,1117214,567823917,468355617,961704816,706498861,565089136,160811356,981174472,278867507,107181784,254161462,330571095,818422061,131914777,354429468,805668349,853357855,839401858,225167305,166782432,998406030,881252802,57177963,861986599,141253215,8015602,937280598,817875775,360842600,88132222,930975881,289053227,769428708,740697874,709287585,132397315,896105718,677612343,679691478,155892471,980791118,228498798,450687830,751619101,521951615,483092269,954460478,111264109,889680184,967751960,238958053,577575187,23685008,940063529,237573213,444408211,646341739,501254755,118016000,665196896,254361607,826008236,130537092,30617564,704621590,94070945,612769975,437896635,272958949,378672941,551413092,747391335,788355116,747109824,332543117,904883656,538643515,42778332,611432435,169994279,979035204,878764784,879473977,571059375,329657200,952712757,287731052,74867181,512458274,107972316,159191484,228091854,710924495,242627319,993606189,265039965,850807780,62933954,932664845,574330321,463718211,990516275,935102163,824790405,311616201,788107165,404914161,893405147,159474655,659763679,195337605,509318030,309894317,851487609,669670726,439161718,691024134,163051202,489366260,980804984,768013979,701743824,855043125,952533963,153842557,684426219,72471576,773272209,404157363,166135784,596856531,929363057,793834811,897485147,952914932,187334321,733832579,668272672,106182340,583150851,138328754,305759748,566642741,730556549,509351483,803254536,220578456,341377858,453167665,971297743,400840472,746940340,482857653,290055497,927067145,81157907,477214334,171703950,329168519,944653665,669645412,532415318,363582766,788587703,644206213,36107871,515154681,100602372,396889730,133669903,61923040,568057788,69602192,880904659,482362943,571670956,739667709,215172563,771915180,15622173,464165959,317955376,978351080,347862425,435897468,382268707,490269231,634460800,28019778,832279348,299911338,632768139,156303520,462148974,658416121,68529168,695482069,276327205,167604013,184952202,897966389,774325815,520643202,154931996,138568481,685963546,310674812,360608209,326759696,798400676,836943916,831217555,641203505,467703036,746795325,782430403,320139072,235599787,521206309,793342272,420703806,368103478,156481047,478501687,334856688,695734792,914355492,835733377,250601256,706667716,888505801,777556331,55153110,654767896,768877266,864538283,510812069,758206537,360476091,239184741,668102428,434414460,531378825,698589528,661223436,118397733,512597367,530726269,309866029,666845349,427191538,569679518,910634891,677907206,1353047,356816655,12170654,105820036,717906969,676210436,699077655,266172784,834858361,200569310,134109523,876431465,189159732,573629775,811192688,621158633,800946173,989345722,40084964,986280267,316004723,55277116,810687020,156407661,885776864,503288117,989104387,114502761,981683157,571368354,122556604,525448723,472735322,944647190,650762279,18316721,201609956,781584321,37503642,34721467,707984845,325667144,353819276,564366453,966004294,537952324,417677685,88564418,960896863,78219662,296181568,576405235,440089300,817556677,239606243,844934758,181770281,943975393,179344178,961131817,681095930,170040171,364545678,148639265,833310415,491481732,998650741,288485065,870725293,288095598,167449433,376563971,292880715,395466594,614134383,132134549,541380166,124873559,684949737,327982407,415626210,306952272,382618251,882396515,176655992,537873331,273118588,219022107,702516166,431635185,690169978,642759211,414957550,699648235,488116276,457797100,290318995,521743592,483675035,280172905,71581430,517590201,253135660,596239547,928454188,768528509,237342074,269109689,81692367,162524064,933879764,481734900,785767693,378712802,976565252,30726929,342574464,210279903,880643208,401721512,708335086,677947954,856958228,291363410,844420955,545720364,958004021,543849623,431070505,11408528,587155159,627223100,941719836,589169004,395903031,816883159,898154390,765049873,455117068,609918090,317936732,675485794,294008353,337832830,16332535,390006550,890492137,649310098,941593342,909640943,456533246,13524209,518842673,188237039,362462282,544312878,863270727,862516644,590993450,706563399,868082289,675349860,176589952,863454767,471727462,636001388,757707612,418517216,552814977,701084988,579901691,1657188,375653121,388336640,901988186,271811990,255799313,238419681,976119911,638921731,14565447,476372879,814275530,456213660,802057810,565899079,942061687,18026508,30012548,7616092,385642768,74753039,963422517,162570061,889667136,982132217,272585372,488785112,658076780,916292889,242289142,444842515,892462148,209959286,727433864,414004504,8512523,418141306,153074839,445674399,817329023,847887231,72970020,393097587,16222175,619462409,510363825,455375158,676932399,730809251,531026065,82447576,996431185,441880526,871831954,50018250,126408566,28162193,167093290,710409230,568802278,676572418,395799696,30700446,975700260,689021265,288839718,376652836,539649829,548655468,715634756,709136707,771522628,895261236,78750778,666029298,22164963,619921957,91010246,237592109,377579635,804094879,984764683,251609394,408639500,168435455,566841799,280864452,515448934,43035610,594516496,50656945,721157675,437881285,958439999,433941986,392227925,624490385,534906661,513069413,587412894,993452444,925228805,106473241,613982284,880655731,628270250,989812015,798696341,757860605,793879892,7492385,349080525,621229026,130035162,241601699,927952119,883773772,544088049,299779606,537745145,151795170,80196093,848393464,276594882,823772600,45762979,633826077,415582216,36788505,939323917,179629240,874523852,351996216,291817691,302334683,581878483,739569579,180999125,935808360,981062909,57446029,226756825,724458242,966214363,749799704,714529170,584735379,640938149,607588359,469490237,161174359,387547639,256846636,339801875,489192617,814169214,636429426,941092022,482128443,826514248,114294458,775053648,907828094,117157503,707547334,359456109,661522131,529693990,333426869,317335569,820471850,691543020,464468813,231031143,309063955,295910171,943400615,570924218,166020375,243176684,870178670,133039349,789596782,803325052,550343882,706852511,413126365,632653582,678818396,891721080,883072010,616145086,992996560,539541052,331201217,792080153,787966396,679568340,749211753,947881643,604652055,480974040,504113582,431494716,813078200,935555300,940315135,727166638,757088521,660567844,910999608,565643350,961945360,289464253,849551674,359850088,652739145,370494472,654253493,968423503,53779160,321566851,939443906,985565154,811128748,270047557,433256792,106808350,366209971,857275671,666322881,99237376,792884797,406768440,90783719,965204751,519675024,181153463,107105426,92239694,428410640,883135127,315533361,56814583,138112039,443616238,480018993,878332899,649635881,58249294,237455521,245029057,135478917,47471195,904905360,103112590,564009463,524346087,768890894,867444058,196280733,566893493,603892522,901450379,512504061,750033590,358629892,780891769,120275273,260321229,698499500,33290807,105395915,515706441,529578953,713094272,826700746,962382009,442788772,367902793,591730369,707569869,215229806,300506507,818200955,230537364,32141207,541083843,266089531,116914158,575623823,442808438,482960501,197150512,27323596,549768515,142160762,818657669,89502517,532608560,210805743,686334450,990940555,402336223,660081294,281485435,908603095,339887374,455647316,359968292,361243919,486154734,628614921,102963475,987537865,153636456,875650457,540119006,928207135,471852502,606915555,230370312,338737999,466617988,633855192,611335239,873579202,975986278,798155897,176277888,63347062,516514153,87463239,295666810,194706100,425253384,848477143,922581045,993090519,293926533,192007018,875367840,96188932,181222246,68648957,513705774,700423436,580288714,799875265,751092257,31361802,732259752,486701122,22060856,120733592,373839697,993415521,303097028,712122173,641724796,540421856,345661285,909112592,213368079,201577626,111635810,29574019,781723274,885043482,389647485,759008276,856600109,44386974,676535525,96880054,713573080,364200365,432955395,988106045,198798314,996122219,715294196,108453506,137531542,481839910,753644315,62117585,238889327,425084964,771147250,535138197,152252751,811582366,822381568,903012588,348304745,436787079,818265690,580718791,933181979,312663881,899661324,919012158,104193774,217424310,674702425,243239248,667548350,721117435,477189979,627792528,851895739,880780400,568862894,580416463,647628214,975787460,183476244,258651403,19875284,512211074,290372411,716058700,849803107,494690368,30970634,513257249,215524131,787500294,425215919,949518730,105953907,23137188,561536791,724153002,575379348,622735652,8002363,657438093,893818636,523353333,798426396,300080924,945009196,977173311,406954176,219429825,313621544,112385730,32554711,992034844,737978755,497009041,859816036,520423280,896401840,238961591,640662030,945271521,646947271,296325082,401380731,148597473,210964288,568305145,790296591,968869725,828713031,544826190,401155681,658575659,933435793,151592780,910160919,291729351,37627663,60394241,758928351,963958128,688406179,630003799,292120275,961987590,780011689,149420699,70508778,151170219,251691212,497030316,817212177,848586395,378530675,161500872,925851616,301156659,682492689,393283465,293072395,593062264,832976577,830126687,694413773,387315572,189069478,834140019,909331535,912433663,823682875,219238203,959412534,244878429,180814329,513897313,459032545,15474310,290536038,951495861,815051933,690230564,43271729,170240404,729938476,278364788,557125204,323060300,3408960,738426466,605672759,115318261,420332948,221705021,112705091,35282615,323106684,750193017,643531883,220117998,16176953,883305015,289718864,211636765,359772645,625126319,501887634,559252266,927815796,550980093,100629283,540717079,95924642,589675445,596585536,70303784,824564124,465688997,400500665,381167249,331617975,410285032,256160174,160554478,933246785,622274762,793400961,120049546,167771467,454951962,609050902,839733263,697050474,25300849,992892849,999313956,447855688,587492879,559589683,364565575,751333643,49914274,834142560,159075775,500939772,548686970,65832371,367654627,37696907,976830166,379134519,519476863,946748180,534776218,855771030,921687030,22201687,865872768,710851841,925234304,860286128,174111606,229261374,41209901,6178635,309642676,992024715,294714155,538602426,195672691,150769986,455960147,930663702,646707292,482150906,639720370,975169846,163825658,616468153,397363126,417962549,377053510,91109704,71019740,374398639,610962604,70816934,416227388,601890309,680665673,984941452,602530397,456023575,67148831,907307001,852763935,193776358,338021445,988224853,996004752,103525552,718953861,693578576,887087224,456900770,810093553,736983622,303857749,436250712,363792188,871889533,387285266,7777518,371393610,761538749,291742070,536653956,980296166,80239158,334071385,636033044,390730923,49362564,122382823,294775472,841966700,602366772,625323120,821097218,998900132,813445637,152698458,198782494,802787696,612682549,122249717,422739745,43786716,716489887,932233963,320232251,947532398,105064326,537013871,803845880,648777857,720023084,377738458,297868125,308794386,383709053,952839378,159384982,116794368,355315547,348752175,896983097,821370765,3784808,733885916,214792102,910698225,674303649,672362452,434154159,453999252,424589265,109528737,420834920,692767295,757282418,425683478,554323792,708422076,196885550,268884053,316900091,169539609,547331447,594569026,636608586,174917861,967501482,125318250,416396636,394964459,90986633,483666125,496373247,888095511,109979007,357283255,421661131,760269030,190842563,562954767,919940832,421097497,63773814,622026111,179865880,928893181,951684043,775311716,682300438,773160911,402738977,105222257,26548885,235943130,545475664,135600213,91550808,613855,812106429,796933038,566657205,814211623,152315147,41156437,408612413,456315162,906230924,176170508,915998444,225974809,519810622,903089250,451002814,492252300,78941172,618398976,288163103,921199248,917163621,538280150,965010093,968576760,242440302,705593839,944678008,26296029,87899320,785609157,997216269,620658665,785436748,30635577,907298350,976338500,789216033,534631831,121707133,621890833,174297568,927631386,226762738,105292699,228603250,419698591,882865225,899710501,627547781,486694638,821973500,391653378,726591058,529119713,485383406,559102127,399627398,244142219,673947199,901758617,713062407,823075020,455091625,834052821,541694138,588488732,473817183,783349167,871909633,9571279,969133532,929913573,499940456,546333121,823917435,420388000,841240144,19565454,605001346,767293813,851434475,9453559,748750941,861445748,703011773,34488766,460902152,261215764,784602513,597900415,419654787,128875984,160131590,717712377,56220589,336078316,593180566,380032776,495254473,34031030,869296805,595805085,400311494,329073877,837014305,26415242,135563303,180711741,398408180,58104009,325694104,207974761,436312005,258769252,859393177,516932521,193706325,574763339,694906510,191037349,660777544,933224382,659440571,333093695,710328286,894602657,511055460,504469738,742362820,206877476,197983682,597177387,289996409,131786151,911059318,127856666,804534936,767586021,164356394,273983566,174872921,510723647,592915933,720454856,111699111,540308073,573349462,729916880,141422586,721229118,987554466,531981885,791888374,382081083,750920223,424572571,261493165,515142511,942729810,979818030,757030121,19701367,999354683,187967299,382527809,225644678,13692285,461452553,618315205,667946139,975373265,22569379,263683376,973100361,844899495,893683432,266026407,19899580,212785691,204904722,909252856,201106623,851100174,327518484,87487074,720687907,895918813,389206705,366568068,304934860,16829079,810509866,937305323,746331024,310762423,214872398,209104580,196262441,410779262,566117950,336789814,517413850,737626109,971300575,523823386,98599637,949612225,393533198,132013638,362812488,428941294,385050704,890924810,700041411,317267765,393381875,273954056,393047128,706617234,941440214,137713000,955986814,217590386,179682768,82252365,650826015,225263170,840691803,495679928,193577970,255361643,892021169,923386873,762090147,912857627,934867514,843550769,754516061,564366842,266873677,120551078,391500180,789372143,488879848,234778957,472328396,444013222,157562691,295563766,145127422,539865128,735236176,325407597,836757965,602321970,751153493,653443633,754205890,361355359,374397477,474533339,91547556,721900733,47293697,188805118,175153161,594463271,94889160,245755311,401103166,862934641,123226825,205177353,298761428,138225830,50287135,446530577,788930187,888648625,341961655,91455938,454292192,196186771,170257127,803962441,83314645,734483576,589069268,434161352,583284721,830469751,40260858,492512329,238438721,656988421,292048821,146285058,664637663,92545315,679213501,229051694,957321480,982631174,925208831,271512500,523932260,94069570,897408191,616698973,182595132,416153850,265457690,921327746,378630280,368371961,834901900,935830607,101437912,603468588,437119400,972072106,4293052,577491523,671178374,425484301,544359538,539463524,386494403,432006199,850802308,815576277,70944196,776793504,127133956,231679397,458693319,69232014,646197188,745190017,593621002,543875909,553607170,241184105,7574210,12649035,486540634,804409384,117414845,87727512,303950562,757290060,356234318,949480864,631981937,969035737,584737430,445935375,450243227,982338537,853145588,37696692,884062650,708987973,399179763,436303405,79423889,654373527,143944884,489891385,119980270,503335954,23282136,375781591,45128008,820025737,820027669,939242258,972039090,349180897,537771654,372022189,216841522,738588817,831069965,657639468,234632059,925889962,861629584,71271112,429345742,664070004,691878380,737691706,157704079,513109455,605382893,834032802,747228818,357885502,328187276,618868006,48868652,754050745,831580162,397204041,180762015,514330405,23763580,996520820,170854224,868456143,926294048,52948941,773725795,232798967,597019274,765525423,663085701,31341860,914619380,80633296,117359842,765510442,75009314,968130411,811859777,9201382,542789848,336823988,972416534,403938119,502826142,692923313,59307404,624895466,550841016,893293828,268776634,429271238,102176989,340694694,977618186,614126917,551004741,968360746,135048096,831711390,213193783,578807921,363759187,949757445,985948364,316520942,569884202,586004003,377368532,308323562,584422845,383104707,970673962,720346370,461627482,54936076,480713241,999703691,143373077,153300944,881944866,568337532,506054981,61271871,387000736,145703661,860295298,999835690,510615694,76563435,447348600,542651107,312504333,476461471,574513593,537673229,911313413,739918496,462071764,364209847,107377823,362112061,396234413,954247802,54893402,249343232,520234613,966777782,51759673,947412900,29423591,176975187,720867304,945119953,422419107,149533811,266308964,968089487,440480474,710755509,953642052,389268144,257131851,564483486,114528947,768396179,524324541,984382919,335503421,46850093,365742746,731503795,519001093,553399948,605267111,71652307,945129887,703935223,218518705,804976348,296231131,66528468,114108608,539318565,207316950,613627424,620219147,113433563,937283583,416392401,974731222,159189201,985324841,812500684,324245623,609085459,668202776,66066614,264281310,495828046,857558116,863599912,657346588,746818425,972151277,976528831,319309381,931932019,481440087,472283044,898698870,17669710,613529290,279439819,996179445,476693561,305643113,538953106,324070794,385594448,766583235,248147907,975984376,412309986,183880618,250425263,647370362,633127652,686323380,661752677,453813502,64654642,468987080,233539897,902976488,359434182,509884978,843223323,711455470,246010004,774174351,131962624,728871248,72540501,82868203,730649883,598563549,751579824,867000765,288213956,133682867,9470412,376984477,934722240,359928093,71559917,209806562,66958133,87167664,811470411,425187979,355048349,130116851,80648277,673636755,715161457,398586621,591958173,858919910,662349493,737734315,537406078,638873646,714344856,279960686,550881399,829617117,474618016,542005131,588750483,482274686,754645711,954494106,632428228,163590411,83948525,596189409,351304613,598078136,546975281,868303361,131947622,493623899,520954018,587752554,496932600,734199903,16886643,598146284,278904507,78816436,934491006,296249598,150171923,853175452,55854347,989469782,577054733,129291488,227465155,555177200,906462762,162224183,269482008,130412147,211885050,168862533,51889106,620270408,503576354,232482042,361222834,310341817,260431350,51464046,342893030,926111512,546109431,651573368,29101600,64119475,849863149,390107607,456635217,441258071,784112276,680917517,249246950,752763510,718438880,897407960,765166555,936037986,833486183,838460404,967490533,363859117,419233314,805519137,722171177,453534760,927844976,65987679,794672750,309627764,588690968,196045552,848534308,411713633,561505038,16037435,456054443,202611801,500786060,223133517,805823459,961248620,18187503,660489309,842499027,734430365,824189968,57866462,381860410,43218280,944382062,531548701,670345410,391036191,443781716,586349495,583416095,82889267,116708340,533126355,697020802,22022437,7458104,558422274,126709934,31421028,766831422,116089188,697613468,596494655,981407553,809250028,319644579,802719595,887560018,330852683,545465175,583290027,318093246,902466142,282022854,863812858,216565239,456368800,891980124,854393271,992407700,311850005,838830312,73840954,595919312,904701332,644970715,92038373,768902538,571847250,974194827,162576192,498623217,968379826,759096323,261368968,482213634,860971817,371019433,100663536,610199004,276802798,917041128,381062984,950195767,726049338,886451591,103900473,362491735,358392281,165101235,197827286,638804388,399714138,916845126,467731770,453569183,988093030,276945325,589187470,320006638,50705137,501947987,105661090,917695865,706058914,500496391,591650350,451720252,569665773,86259026,809639852,862519815,54809845,87551005,203183764,655027807,74696771,394796445,458721247,11224217,195893828,232642138,972514039,590573004,125767976,3854875,112542807,461165146,768105777,167108202,534350304,81746573,708397460,765896163,211769581,379548951,766291094,859576056,220634782,481950927,201047193,906830070,8920551,159536625,323796434,701178082,968277410,158734162,995274604,985772351,851754787,677067486,342501148,427818736,987233651,346588298,190247203,200338169,679510221,888687573,917865697,866204750,690559812,265657660,906518146,418251138,129887856,35122017,379297359,567306290,561226791,829185296,431506921,595973792,30367955,794874337,561740925,814577055,396592267,214686118,876107986,149336141,784608991,883763092,929563296,18600289,942975775,926152448,880742860,168723244,680029430,115379128,261888232,919957012,62622424,726562426,639651320,198379926,792661358,378350899,611083939,876994827,221788063,991678869,248491701,505772123,898863649,140648934,662661734,379788546,553465001,531462977,117827494,222633928,181607996,406258422,203955494,45365876,948706533,114336646,748745882,854774114,671449080,255968560,629891256,981522539,474419934,283187877,236674093,817196739,431493922,791477226,384645606,571268470,914896069,70844146,928229504,811911038,923530808,107896933,269791500,262091862,879418318,996169887,576682604,990533756,520414986,4402877,814800969,788057177,790506614,646912151,882778185,907597905,961634489,502359443,828438954,495233243,627704198,133015727,138904920,759586314,179806868,988142163,812321403,456964577,754160947,65864228,645227478,524938879,551309265,823340630,948807910,288670696,460686906,922611282,198731262,204187301,81322258,510906694,615889690,810947002,436058862,599407431,592491637,990267795,92693605,461540960,573024023,888405528,816527608,585932129,443944724,572564443,793571708,132730973,708514726,113621602,950836933,884458968,409473677,538445758,271151543,851016209,554961809,231413480,672791642,191442804,605411792,626421475,216106340,595352205,959268076,550569565,486314575,111933674,730581916,659164685,502546235,567533237,982475899,301094228,107546226,4340079,766860415,844796830,630350725,357554218,243012467,988534448,959997993,229342974,935849681,803136006,320885289,111663027,189206895,204545863,985833412,331893995,611813248,606500868,908688140,520930866,995278456,715284226,284102393,548262152,435234384,157948656,58135154,606252018,775978589,528300451,95102029,924719734,149423935,568316249,480239207,533446461,511804628,516102828,829905468,216181961,602447591,954786080,319141107,773107943,371699665,827528933,149326382,863403554,86643841,272988086,441035844,727985690,11767993,531226227,244468916,959038750,780168238,7662979,245815814,407673508,325400665,904051112,681124225,109036733,818525149,443204513,454876798,709254660,450129776,462532843,397050699,147089689,615422381,575047869,613976564,247607139,103545660,283772020,365957947,416175337,552659309,323349501,638823338,405600180,887296816,170020470,546088027,423424615,434413357,487899076,792137063,749082894,653519921,600344473,876854506,484002284,440746931,570958527,837271054,188348645,428197684,800734864,39561443,255738938,871074482,478115204,303308416,80556302,377977356,964061967,752974708,565489464,621314862,647407440,180254426,759117311,352357561,863381189,426504581,489748551,205881135,695188265,434823991,45522645,208828776,19697144,533401403,627589296,815009975,359181282,590385085,82381564,968945316,230093798,539984649,89259097,960617925,702911473,316459209,399770410,898941377,41793969,770669523,292423691,162720800,428978585,426481288,268337496,294440331,111612341,863369262,626851177,398543708,968176016,237174674,439904483,259585892,5140761,309303741,745647630,576904609,974893447,19274581,767065312,86281886,157126137,697430619,872559626,953865059,786727333,81827700,823533299,734339144,34442404,44571558,470325047,185864392,194524362,657990328,912989062,178966586,327822690,129979977,784107795,695322750,132047462,577284535,350838352,532281016,517965294,843301947,427332173,107636827,59520956,646447689,52677900,421597711,913930259,583882651,903673190,315314383,408274447,85738071,1922619,90131946,839485608,217751311,151579775,399582540,237626928,454863827,142119925,88204220,360238524,208563901,781322569,495459580,394503044,601582786,650193065,272057133,628393477,403747104,670906903,937080958,583067833,433510269,768335785,43887513,819562216,347217970,606401489,563758396,285699898,885023435,617158397,472285793,3766002,399590917,681534594,402692289,401136525,542266584,890357948,775642291,660250793,818326200,217925902,19185214,848794061,698652348,845434457,81446839,967268903,187234970,152784613,594811286,65111715,369289910,911034128,436489190,735013164,402830751,67585349,935637749,784291978,835166602,388938700,719913379,195887834,892881077,973592435,31563508,727710847,69985215,183783947,144334682,697699696,77458593,678980904,78170669,244038315,739500498,949067401,67684867,370107146,883247053,690011254,43616646,821387304,272505701,855547940,925374369,414029148,295351252,816176911,783475067,177438753,637929881,860291895,552469634,239997453,148689540,340137285,552133406,486928153,748695617,911770413,553029201,779510176,641695935,930353637,589302909,260298685,227598089,544836779,800788537,874515653,137967319,683127109,69553547,428255654,297871722,875068743,19356841,358309172,861592679,544715022,208502229,20877687,768236286,519367575,643272158,986792335,47663498,349574242,106853276,909254988,350443223,446041417,627767716,439071015,334739966,863177343,661645594,400467834,636585569,533554868,451168356,106067452,324584349,411378367,828753585,912666092,676406646,199040739,652094042,784775007,460494937,621083256,484437569,116318323,318823965,994208976,110434485,588901821,516556662,77894907,54530593,701755787,891303431,886758146,494030927,688333645,12499359,483625558,544304838,438376247,318197683,254420156,519680360,39457032,255784404,218984050,434840983,998133249,497583048,5774127,270683617,88188894,276599180,727202502,270109310,142018876,713543974,534840480,594163248,104005828,634882329,282195701,775983667,492419708,414848981,557149224,325862841,855885436,218539009,7647437,339493683,685804392,398085306,400870996,20977994,358517923,850656181,905600340,390197579,949806584,479408345,866284436,308054113,211852099,472385818,846255070,472346416,357898478,335940240,343081180,198745424,12251544,842099639,76267709,175376799,941613813,426989434,413996659,231582218,914689555,135927717,775244846,739319742,288464357,904373812,253725181,716261074,891136927,731290386,219798960,20325298,501623475,30093643,18104533,595834479,557113869,277357545,351999219,689293795,343004364,220709015,212810615,35711355,879984789,296675943,653942756,980124288,79631509,466899966,439118249,197051655,604822909,339091244,473747760,834220512,861763201,78204804,381410843,44431189,155021751,297466020,103509264,982119632,685478851,415974295,181728932,284883091,255894671,476602574,49488425,380039779,708071302,58195826,57096014,60711992,568820996,812698920,706880260,740828890,463930206,646484466,56988037,510831493,655783115,617265625,443845796,937978954,316493956,69748197,559740651,806049346,272784594,672082037,60382568,84946934,967940151,679650173,876236735,47403467,159533191,416141753,878364435,911045565,846305591,896461492,365682230,600744986,866513647,20176543,972542086,888480755,550184109,354658704,36904392,889792911,617722963,872517218,591928473,564610346,349832670,764036199,153061468,651248353,125693600,626619651,531923867,397896346,481578558,16504817,250525600,310322323,232216261,277473252,257996910,396033996,159633241,880886116,771925804,9848698,111408388,415947328,32911014,804103474,464203621,144792073,55631865,104974798,162386048,208786569,484366893,528501660,764464228,168364144,344225645,804669885,517699308,852496080,261507299,84972372,62229049,790803172,623522497,12775405,903195562,734422496,10282324,977910019,360446800,816224564,500725804,660341125,637413052,266961852,868936011,539745700,939834226,270650762,77401272,322090889,426728005,426028106,93179805,432822797,351383498,644307270,575045618,603391452,419499338,172809886,960694415,504991067,807647368,729740308,454180056,586347711,407089099,451793273,138677654,706152102,379963039,434376581,927018544,823883222,104494403,645396742,79270869,979596722,386980284,506462053,171090930,598548632,309270239,667579438,407915877,595916451,957538876,272621326,925552237,2850932,932216643,101967391,715823643,505667310,820669523,687556018,48314249,389537976,20106632,656182415,773495147,801798207,614959912,918211177,777586570,674153161,984409342,649378413,388689752,380687430,421441560,529887990,673828241,934844944,720619789,795233592,55825430,470006546,7336120,328219109,120826475,698293192,520751476,999635899,267741204,340754730,876242159,767984238,796145734,672018321,119996481,471330944,261606644,150874407,393691220,585205168,209129681,138439555,659685406,475444805,102630536,151731650,503696915,572005713,550071249,262691515,776288995,560273522,121200056,734211170,306001405,996463951,903988482,301862572,2967137,883030533,479443812,934894557,612078156,790586243,144685489,993757075,574946740,353533653,836227497,859048390,984129451,51108354,343520327,351035967,481177231,242261825,864372667,97488515,213665580,421920094,912396548,817631680,323626127,177162791,127056614,835236154,873442862,256628247,221299506,852701087,408498221,210743493,659038034,431322008,355376307,955880691,115762161,997083566,341006083,422384837,745226449,441742410,174129338,416181936,301692840,908637666,617694707,101956809,979958136,235084777,223815251,8016132,630452074,998284679,740337092,609076966,214317809,458519281,376892616,85850446,154653425,204967147,54947917,680473604,437395672,849555451,539916828,430704999,66634966,112095886,823196337,335369944,800437314,461504857,313828844,256722315,425323694,896679685,323106242,385832156,457746494,847508186,286730192,233751633,164529796,234940673,59475012,905981007,378275440,222174057,439341968,817210374,473829362,913140429,250146755,401437578,520347746,545475334,530983996,667237538,727029386,120131462,911985765,146743002,245030381,665311953,916158662,26562999,214473696,957017903,609574851,95714912,725125261,70081802,911675592,409604420,329273843,273410293,422133470,453895401,409910178,204913620,446298906,7109163,931165033,954608491,393632608,807295459,261370216,302514861,501668700,165141081,646049614,451305124,709298853,945546797,98893035,760097682,420809390,683138577,884485042,533132080,52685044,89689904,861810379,456368524,467741389,357419164,3693724,854001406,879836986,778018854,571838854,58959921,565903771,777197822,352859232,870021941,106506980,259051848,497881793,597500360,668227493,233951381,41790821,527246806,233175705,738101307,530100353,134243757,779803206,893226007,37429814,913776801,55414029,642853278,353019687,997681668,686251004,352031744,79547067,140440560,165729807,950370659,282558121,621048351,655572980,646272722,407738380,612811896,601897170,626909363,793076272,25199102,908455201,706356964,272845280,962925676,5866998,120023850,133161029,913061558,862680452,919325076,735070298,755509133,488549130,167097860,663374198,958558114,237797084,738876722,69897176,622036908,20773703,198911393,882276648,213474517,663879043,298933443,539105291,673633430,401509436,762502164,451109272,761587652,562746939,852902984,696317930,639349593,614968982,464551421,72389666,973367762,392799204,604231659,655840797,154843791,672664957,528774345,875322047,134315584,702289357,696329815,930596281,780499103,826487285,812403644,84109844,265555797,214702768,673128025,972878785,566505595,696537364,240381881,626093658,439651814,411097261,44138197,563679206,213671936,386277771,852121757,268984298,384539785,432153400,39123336,20061071,113238402,273233902,563262824,359263262,301215010,776331397,534434523,32111681,708643402,79270473,492220422,448906532,240149550,285071050,830679570,442334689,547589248,273166447,293603265,917728090,154885404,704186889,280962986,331947899,107563918,157581709,550548875,828520255,972712775,241100250,600337807,434291152,438328130,868016050,971072701,117760425,583827634,566894257,669369169,960856252,244542890,939423815,442492299,679618046,114206061,765678173,614217440,885789173,874147525,114193954,639073207,36282682,662318695,81401973,307460332,151815230,792244099,588692784,796646594,105459461,627220796,176727226,35812346,829757651,449016539,762519514,48324276,667837562,801939567,503091892,323615365,386089691,348923232,185290190,306456258,102529322,241565984,467509772,470796288,558539956,475405728,96143340,728414541,194943790,333478252,245999982,385332591,108428943,725471738,656643240,664685056,368806377,641141657,905211907,94157687,574779326,161319103,667336384,963309223,118050397,621154537,626459250,517130106,251789890,837208416,140051916,831456440,747530017,651615975,542061173,858942148,802827342,837497770,302197066,161216407,739151491,699012657,699777759,294932766,850383600,780459623,626672487,871393900,83151519,111159718,583768878,128731021,858678479,520115293,574683867,721681443,818199190,499756442,713261972,602469347,588343083,772807447,714224221,511437051,431922344,813823153,419839852,724210079,312589211,822837075,438173502,324826140,23332216,913037906,693399833,606829358,531476968,401148591,48322304,902852426,862864779,640027679,734529508,685267902,814563804,182081708,434016391,187261589,162449424,746632311,911282068,25909645,879793864,320691492,869609801,30386503,36949865,821997009,784744975,348709313,801577727,759825091,918605367,263001650,611074450,390066065,975304497,833188341,807186857,302075169,571413862,852841876,727139522,137163392,94834425,494286255,395025956,872445131,473629020,779751256,442945011,595287504,564070805,967136974,699481149,538349798,990460938,227591845,992455486,548118845,754204834,728064738,603335429,203725445,16995429,860820789,781857029,757787644,678927853,522481343,695726243,171134351,493202818,508581586,399493312,743745851,367907266,569185189,334914428,409358203,583800104,614518027,684660762,575832,84581676,696573066,300054100,861641350,805471511,566386651,859308511,955579608,795853687,399302433,922699334,107011939,330681331,531111174,613161787,588447838,776468559,319031988,897444086,904050267,44163812,793533073,129119245,79640010,80457533,715494396,163011946,666996981,623957701,948683850,646836834,45914075,751909710,393597030,989813117,53976933,58852914,407051678,237759429,591126181,552615834,258926681,397002565,712255454,460756184,555968941,82551046,397908341,975637687,226315469,613995726,761569069,691707774,232158030,516991800,861202540,604615899,482615942,42169926,415927194,176547303,283256849,466679486,871346863,803667359,127784679,403070481,251376881,288304714,237565063,635937530,837677030,973430536,138622287,345801904,566908256,207177715,765399502,186676109,308814751,999385648,283548388,925754910,477304251,301331491,469556020,851016568,921441632,950958756,934150407,777927592,206037758,707553691,532837600,277751833,239616929,215502565,400499284,759022669,684853999,579304186,825319189,982605613,557362588,864889364,818001390,262246786,666190354,303037119,634058718,458250180,730089384,25073099,201942263,371400416,455099861,480574689,838908508,78937132,650686309,134227920,611215201,662554011,417283355,69853065,826949645,891557007,195499529,634090769,224524134,557334479,657915709,103678193,826842833,597643731,963011767,832278762,710240957,944055420,109440396,534805631,86756687,263558710,531054638,759695553,429034301,194042189,723770632,226463842,959398312,594781355,381289548,987440787,240466640,289352068,209633412,84088109,221406416,261534703,487262113,893555699,49727026,758270531,440537927,693422199,125709750,694556174,524262602,136776658,222599299,282197189,316303308,881595146,311829581,685211921,660411260,107858599,649385801,160764717,463709625,239557001,450710191,655041183,233864053,721870953,720674397,612582625,30237916,332824078,927775495,429255452,315826481,44924671,1632733,427349153,299446153,536876098,794702743,571765087,937955674,879867155,38268995,948776618,830918249,421916984,93474830,366358544,71673456,160592027,825980392,97331393,926344840,291628927,764275797,62976013,862901408,778186302,218566311,507546530,403691673,402276011,489594848,72859078,929263493,985535621,491990909,40310327,639147636,109283815,614489813,152849722,985346813,550108062,615077055,331015757,262712602,923347104,991210218,35634196,416254915,69705296,29164375,906825081,480680483,639854940,326317508,745836601,920679994,468841364,889349557,658222426,89914959,222324311,808749231,286389297,500293440,999131491,658274684,170054527,609522251,350391180,797925628,933002381,676038769,69680793,200293054,175443543,972069963,937761872,787227143,972448618,544377855,597421304,113072731,43878668,626305961,428290313,214228782,268868660,487196138,250829040,851886275,324614011,792849914,248864575,830669461,176179204,234297500,690942664,684491603,527921792,932188830,704973666,746280595,711769802,320866376,942701559,767508423,14403596,309979060,739160281,749485580,817225519,529906225,1142328,258508388,292136958,489424182,620510235,805788649,537540126,141900479,265990217,878897486,811007010,221247335,136057364,132385717,663304201,705502213,159518189,62428701,896269668,565330184,523216562,308874536,401056765,421797868,558290064,251506405,677369110,871955689,804859693,414125018,518154459,716471676,828714958,929640771,851886835,28864389,13329733,436416482,892515573,703609216,302110312,873889910,89743727,189945587,377477672,225405651,695626637,471369624,122456937,582448871,699335272,28199052,558150224,357619669,367398709,690872423,151493886,146550356,415646465,970717198,30688595,916347249,688123457,772741299,257742295,16874089,613611520,977352271,244690699,983032262,464891062,127552597,217927317,703447646,417562767,813248281,446517485,795732289,376956185,905642438,937927833,199794998,983062219,709445263,876619589,858399344,826898086,185065764,888959001,6753513,983157419,978176091,467673220,841158021,65760688,441862907,225514888,414710599,48483932,357765080,455300000,573009950,114054312,630263741,942846532,608134306,485310252,656209820,695474766,532939744,867105412,325437139,923580059,131705618,108276195,958710003,625676290,245607319,724375610,169969437,109631770,408869434,74777037,343337651,864273026,963233796,611031576,262466173,388503915,473057168,91780949,64076062,165364076,280500121,25482147,404464413,186447069,863420168,315743204,319631421,737802783,999023723,868070650,347098762,342376240,127664225,883140574,943350526,906501003,796710086,689405738,15682480,142103341,130196063,803607098,979724576,662988846,173320091,632428762,64490504,331002556,138769136,733308826,721673361,514428221,421757756,495084702,443217709,91779166,168063047,653259349,659920567,523958696,110564873,38109922,695630571,220177351,850042884,634320746,865702399,852431006,117803561,634874846,922687852,835948236,994704580,759656552,303231365,443059814,850646492,858103444,84971821,488574348,353176569,434615677,574481059,979660060,379856429,217819498,233195388,403029131,964035749,508466420,815448090,632544668,490475444,378456235,48336836,656107281,285194907,563958842,844279581,319783385,38134797,606268558,709664562,150615120,791928493,872140223,726922407,920168155,395440568,339324359,37197099,832755052,39524151,216349392,640740033,586217933,992543156,29361668,743797058,300668788,31805339,61161378,207564607,752813300,281613063,351305187,264533014,120946241,414888638,763059773,236341819,153782726,467791887,102796823,913755259,28611466,625487617,400799812,354955600,954800329,147425650,345307262,414047907,299916843,809553400,622724863,563077761,409248405,217181086,154165808,387939180,66919547,263192439,52482756,100986340,611388948,959266272,299654808,73991986,432843148,506818650,314083677,626793674,990875964,133357865,100737104,565138255,447835122,646016895,129639526,865203133,243949290,180635629,455804564,620172148,774127262,586600978,45493328,982667994,334670139,589171730,104718985,236218869,943510201,187272946,11806464,257200591,226688115,931999703,802772525,68554126,426554423,284561093,528223042,633638208,141421337,518606315,362429031,656441999,710120582,669143937,125036247,16382720,651473338,593577370,78221298,294785061,814926071,100018350,412182430,272879389,79512662,590394388,541446497,557608324,144820076,902995173,641678122,451051454,952661211,456454436,769811394,979806610,697132782,209790219,915828287,524077709,930434222,649803731,753915091,119030227,925041698,591558273,559324551,680042590,856937310,332831608,732450608,315349113,651846899,836164793,561362650,665556097,242256528,961688656,660636940,543349559,68253275,968519451,612859112,366433954,289292399,368903169,739068016,511485827,38375135,92897007,808255138,321966660,521630559,366991230,107976879,863584012,291846078,971738005,580909849,972071470,307152252,437075702,734978222,678217304,89889168,412756984,30794476,129228774,229966969,881992849,886949055,342076186,945521303,466537662,442928461,524043244,866433946,69723368,84819776,956442870,826203662,596192829,155556651,326438216,642567058,506074538,985879459,415328555,825977083,356526561,412833909,983475287,402844668,222673328,667746111,88335,334670335,186244458,705803593,149610274,578128623,656565232,821037087,493369825,333606060,713062893,52867007,50453348,72012328,124708094,316292502,494121237,618518228,936229617,396833072,701226853,460130898,460420957,425879218,897549123,365618042,535534433,386313888,279446014,98908916,911069855,197404652,323965096,703242353,950613079,622073237,790866534,683714703,365397913,627884163,496115425,238238419,331380084,448316261,814197834,864835816,657283935,632585702,730338847,162987065,420666371,601255937,751592984,682995408,672578076,676003829,260867174,814204727,60658645,874973292,542403524,538641613,715979569,517727372,360560699,933072414,409835321,994175753,624490943,425573674,856114331,499028367,496706754,384402113,875296052,320736484,985358062,137606207,635016806,895064952,910471231,286731309,583639987,312254013,23351156,223573833,231697587,913972019,588856968,289164451,952657985,56514426,443961193,748385507,783305454,227503834,918796591,211350830,926959253,307469751,937490055,652599567,804542573,683175920,583120721,348232648,252793995,905129641,545840268,135262932,279796030,697961521,912946580,677180053,558865595,892120597,732538916,239622552,659529771,64348669,194646212,799512265,380084958,997828410,443069777,319116170,859655,760466474,102433733,397852824,445257080,255190290,710414135,879518521,866933000,505433697,768443657,614584561,13114318,41067678,751625699,246377897,121730467,464573398,961529099,695150345,596470153,70299717,329567356,360739005,891708866,321887923,528588112,869050551,432183062,551308129,889102543,64056587,814105749,572849910,514942417,256362972,895551660,111152934,46202697,522605913,319169115,482996753,540976797,90594092,277816433,619986931,644946253,785542655,393118180,562435030,299358641,865988389,279569714,317306404,367811344,994319821,69771629,365322102,676624544,869878468,947011790,259446984,798553214,193157736,82004334,240904228,306241642,608522820,441950066,72584146,46955653,874884561,215898194,160981070,454524520,470765465,732686821,162614854,800720567,11393600,61747714,267991038,408159318,253256961,695410822,906477182,638048170,52192456,797050481,31414012,914355121,836022385,579401981,444541348,130310304,597434549,216333820,705433333,920473825,674064691,318799030,719267304,110914796,855493851,797029490,789915141,131560992,726332702,297539891,276154017,664756231,317467178,926510643,873485250,156373017,897072599,86354322,102952679,113599135,350571070,190103607,820326638,564642599,954792737,621794314,569099223,109760971,694271918,407637669,653580050,446869863,22622101,407383992,678539798,648661199,627676734,47253040,137969364,386710064,92123346,778485489,155339330,169205834,451290497,678816085,682924058,195107805,379695210,438749049,404098797,689127754,277009286,972012276,620034900,937045546,126988228,880181901,645719463,7484471,183521962,243113618,794877893,739381923,785285842,860597950,557679723,420421739,135577877,797955392,259967586,10284984,319743978,212226708,57161610,631996999,44664747,375825475,518807641,49850652,593627241,667261356,873366556,220620718,730051929,780645822,639171262,118982350,516881388,697238823,111159130,5309780,94615398,744978639,646328127,322422428,861151214,744957294,533446258,586921489,279567194,634356441,13354743,968033930,784016190,963335521,390928660,561807264,656514967,537954042,417717415,681562930,206744976,232869441,291813145,631667697,380938134,609139059,927497046,259066983,44304759,482519440,433381055,212838454,255114963,676814328,534083123,114515705,658559578,677336240,819197877,469745866,327975716,253589930,230633489,356295266,490159376,978858616,55543276,268478496,487512416,407075560,225931026,124608654,27609072,926069567,150496858,454482375,601087380,416732994,603174813,811044233,964304594,71086763,974753871,838075457,921599061,205972975,409965194,72838056,292290751,53682127,182033517,127696384,670598146,819599190,318587142,909002182,195599617,577596322,259828490,167798037,458966039,786594878,357303948,429479640,745432357,184849031,251353720,557904512,298548708,220028369,339142691,247609685,236627203,609234625,466842732,787887082,51850892,905760001,187672640,675367682,329645424,338150060,569144281,641343174,419830881,554578661,568089090,200828316,749123665,723837373,664234571,384976114,540311658,624903566,329303896,356923995,215647556,512846226,934960870,915227807,893357593,628580842,138941801,499039833,145729775,924146523,192771927,424711046,650156042,485894293,447550896,873012795,181343395,394447265,662082518,377161172,80522759,929687211,146060910,212747210,384759104,872206866,72895856,987114098,282636087,835920041,461401168,604939327,34607047,554576062,123802863,385191337,897493567,173325079,627255978,461574670,957565805,577493571,259339878,801704543,577823155,27751917,303801050,905144614,18800650,765608591,23461802,394673264,481402720,440709996,791094131,826399675,348779381,737296056,647561172,887497770,535825711,627559243,701261119,490593800,911616880,875009832,633530613,849099437,513216190,974014316,334827231,551649428,321019835,259800720,909298892,2989620,289912454,123233798,166671367,592503741,459661918,736546448,558150914,165459991,96092449,842355536,114668567,84946560,137337230,503873974,823903357,690902118,690626675,626897175,164607283,320889242,50011343,127755353,430451680,300211173,427592558,328410620,226799466,574417349,854231673,350680094,675775762,177508305,620542375,143947090,416184710,887184828,895119644,652848913,153104910,919880955,883005557,787837531,216705858,756964219,270155939,232113706,171910521,244713279,819551208,797188853,714238660,941802280,731701702,547181071,366982297,489483443,469586935,996289406,918974786,771079459,658655802,283641500,551862865,2351208,841219132,702142668,421063136,979635820,898228114,596467748,106193108,125005636,132099025,208870913,35046893,113352656,428530969,195723454,711429404,641959542,809958628,743897236,259479536,227146695,253342035,61838387,5795974,423948939,854407646,66679715,819541670,982856870,779745640,424009568,678339871,270516766,673337752,770973685,20942047,30944454,453219694,917241787,836822204,627177389,584114513,413031704,422075571,38663092,610854081,743200341,464997624,703571229,136046584,994945642,568951029,385882524,765717828,476509896,940774087,127219979,186570447,709676610,489585499,1443236,597599525,322795455,342348303,474424537,593169833,742690936,625851396,411749664,350233742,80237999,538058327,39263825,333349607,875895564,18747541,444239139,965276407,666501965,920214448,85320486,919559051,92676310,946942202,813780944,184868264,836615685,426961616,656944087,390292997,776322841,444774502,799062032,773675673,469943891,867788472,604395078,398762254,114826469,560177600,631547006,185882407,586606962,277309594,328219927,801181339,98624434,471654779,814972017,476202924,762447762,387936519,555272470,657758930,679362272,258080662,51146410,300217713,581637852,888315118,383516978,399828867,969535486,675905811,31466996,302303187,77068864,157281984,166431492,369433553,717900129,795643852,414455989,478177603,824658223,691652692,377296825,170109237,625296438,635765545,62921760,684432833,454730336,788369280,371065401,679626059,396261570,848030403,796328586,807830466,166503944,58903384,754929429,785731882,258898570,325158677,911851784,881641879,242285897,74214998,877514547,283643987,570003855,672502650,635011935,384251142,742272896,671682847,182786576,235181706,119850480,928337602,956480100,385775917,756474847,80113207,298287164,481212861,579690928,619058875,927351804,656379429,817890360,406204759,90389579,274033354,224695927,542152915,150434443,843586896,293148839,154552108,645768578,288541661,600938933,197726130,875108493,156011402,823560887,609682975,230304845,948083694,91734809,832432120,391705039,372425210,304451490,813269367,301247837,753118233,467555492,405519905,250686002,298338313,340027905,753744201,742890590,803775433,232789500,259411870,795513084,367178795,340840830,225548531,533916112,717231374,296856585,448298873,218987194,297521247,632568643,58610839,205930254,809079897,168478252,182378498,591510822,421923122,482270448,911925825,846502901,589631102,41847154,216377025,231226297,27005902,637769424,255163945,502841172,622962497,655161523,75953562,167580681,543464759,477808433,352505861,562525485,269529512,553773987,403207609,351198466,391127893,969124675,720844546,650646949,709807198,696739881,941643240,560668841,197009119,842696359,478965105,405021624,416249347,462494658,551509551,7712305,975878289,442681025,993139279,759536424,543389648,176666397,501543846,708344410,577239237,610206485,723784393,106792669,529996148,148341243,252758591,104845275,164578758,554993768,341862314,570471669,158267010,675262496,932698519,110763450,781341649,110310876,941157979,335312233,258714923,676977836,998414953,738699134,744135135,859372106,43429391,575377689,204724476,107009627,947911586,15869346,185038225,444621971,563099458,986588469,181151652,113726489,802213203,218527562,796958915,783882962,780502635,49275560,231598484,362894780,276183626,625756056,439591964,908850264,372220574,635558262,173393292,805333557,411584307,577734571,657025679,55542705,552564650,750785670,849141994,719578091,917739002,89908785,69455345,568377575,580260708,908439174,897744100,282636764,623985599,160118743,48683448,272830682,603536167,319262460,75681071,887491630,825789688,730043097,941109105,417295007,953560569,463694234,239006976,370067410,809420022,442306713,345805294,290326251,663008784,804091273,144706462,49277925,692802773,139154327,248501979,212967463,229923910,816521422,338249787,736145999,929710810,792077164,848377612,369579188,716557408,565126946,504184837,669561120,958230595,136120636,82785331,967169522,368370448,82788764,349907686,880706675,314768269,602917099,292040982,689780537,775555000,186388852,53356013,259084139,889727743,977935918,590902354,564318905,888146839,434348180,162753917,306934182,657605837,281826696,156231281,178503497,960122313,118852907,678748511,816320858,20189644,550428175,579870494,585488079,504063431,628328306,753047340,614501165,504162618,454987754,861229313,20160608,501696146,806409907,6919524,933765222,508417063,750077412,922599538,129059489,42034339,658971765,990659241,753959682,235322914,467435340,60561543,659495361,331518899,941342485,238453278,269713234,35418962,615509261,596688092,209502521,870976832,489625610,137566968,7339360,950115254,887409324,124228550,264631775,836728561,385563947,520875683,769607608,620859571,770663243,901597618,831253556,409038628,949321001,97493248,985622540,745249637,121263802,418578966,401434237,943632838,870388272,656892166,70607572,481100706,891547394,661208723,686294341,50301254,928125430,647796178,219009988,256894817,757659514,35710526,543669638,649380493,87812898,886341723,653448763,831185727,59237524,880073479,426967573,682752710,393475179,791402228,100429173,895043820,519685094,435289464,63268264,222981613,586934130,219946627,326014124,720844972,69205971,751185606,984191240,905429109,932822023,447268020,920422821,748584619,4630263,634656595,447385985,956848726,261006887,54989379,404841551,697667794,74532632,732600633,601728695,768454286,919088173,979915187,267299213,898496394,951293113,497152370,239385211,224400973,800734808,590240940,601681780,358271366,201591433,191817467,29991814,456587997,698747433,488217725,747660236,928936298,128542204,741443821,225023819,735034740,70724770,1646273,988490251,245322182,482837911,552467882,853119315,686318174,618746117,928227495,333582023,300243931,336478037,986394858,788013784,911264017,541449491,874561718,924167550,24330452,708056581,933697008,801901448,366141358,990467090,723730440,686255749,451054324,575963693,995500499,270875822,484587253,56066232,232872965,880421704,492937357,324017720,965225281,57164794,666520521,418964865,328039111,343888249,741245988,557328849,405327858,102171260,464451944,136565691,735941584,9426223,546773591,185343008,58159322,57720213,518236562,854747925,335118930,547457860,334386770,684316156,577948686,578554494,449501710,483329038,13115415,10576036,598112184,369967193,439275446,48486010,951811357,10956486,210391001,665911484,370913759,969912885,191297205,171338558,987401292,306686616,380225618,557150079,908958890,92407071,622849368,901605450,501324825,411893001,486231194,76794408,151944512,895214832,370720469,175464887,967403099,195754213,45207711,382329183,365128656,244368179,296917725,60342057,356988798,707735928,844591244,697253443,763401059,883614664,713510305,769360856,898069158,455795300,993624297,637229075,912348098,461576850,331296406,391385762,376072761,767221291,887280720,563397679,996624332,552796969,390587838,784414927,251439043,623413502,398755555,857660575,865296809,298532027,604387977,792774909,134896495,887684076,652331234,430157182,523386290,809655682,388286779,775644888,761828453,767616630,211517247,882379655,214128765,73659053,84672046,888096838,818836160,610136320,566776336,53591649,161440735,848208206,678210677,895039787,249525153,275801780,385811820,36587030,544909242,137037701,403009653,811217222,916071867,11036614,334238332,448465205,878746344,115402531,667282659,412706944,942913411,203924151,245317671,670120514,332087399,116256747,908736290,837807539,691432118,494539906,123015003,613080528,674381879,10045797,407579800,607064713,623203825,538873656,567451080,107072883,325783589,932514673,465210199,185099822,718441180,283895976,197619583,175023908,649455062,944312074,515927006,726912101,339327562,543916862,829906194,108809742,26366797,154802754,674713035,82991680,791066841,811252369,39694931,470385497,889067910,693919051,100461462,604076231,915400240,597691644,850823921,350938437,202841347,434629485,890691573,366442987,83261931,404186868,627403505,165444841,819619854,329928806,952909364,353866108,736173093,260606388,735748986,566646948,492054274,138349980,540224499,614211567,98241539,516768194,98039352,231507108,325037696,859297363,766527945,732588903,159042797,333471430,670882081,110713335,246626641,668787373,302156527,807633970,646236761,469328975,661117685,571716013,774810694,203427768,119938479,315003547,602432579,564776564,390950344,946446471,247002363,861299576,921249430,11567576,833509471,957965625,287442462,946468092,559613549,820115485,786665940,365413169,37335069,595802888,351460393,995403477,258531273,429947783,458128753,58521654,531297797,999713614,98999647,499889442,300066058,949672483,219968673,405867023,844785871,125305984,88483777,730030604,966010260,653186265,936250054,338125684,304312684,248760642,996374552,757017067,11992666,465590865,296632425,179198389,939794171,563761330,396727205,615303663,809783226,878916310,472632942,387105198,559978693,508878350,866002959,222880250,555629180,657701745,245655496,194031571,250352452,36348499,593289180,160503410,341368159,506849603,419989635,692592449,67959855,30722487,726862569,68011459,887272636,648246519,302143968,11166347,501832105,10752737,936581358,539301720,141661947,695743148,526622548,834091317,719885165,124351451,663179605,317123440,296772198,237218234,332528047,163055049,209966672,765570226,287898654,661527397,156627488,480977593,671071696,590745910,134963852,275216327,996818326,613796596,194438333,336656011,544374207,973475813,539688027,678455136,690657547,921908014,528290630,839967283,151584452,732596874,495843446,941381590,780490369,834553417,253507148,909617857,346199140,892463506,18736290,244182566,183614392,244448021,102536197,465531758,721454136,804154265,578459212,727191744,234526706,458036611,745324145,212809774,939329167,558322793,686237182,465690551,758727832,58470321,621548009,258051478,614680952,476194201,601734746,796977021,118504284,31390794,358923814,480852403,3831085,513577593,424368251,339598414,269514604,766718771,944318412,858994897,75289284,170410253,29519955,520515730,469687788,633303116,990497355,325167870,550847730,140751732,450575616,396515781,794958108,776549143,706957470,921813304,811361222,630910650,174701961,590526177,676602876,149261647,554566391,633755129,19095875,608484778,234138702,381591406,651403233,747566384,933067885,253523396,307356742,476004520,145586731,177759478,135780158,953245998,76384609,241435306,881403715,905244188,842422005,617983850,944381610,462246273,966492081,934429864,842987250,950935989,711424157,299546742,688827548,738190854,574413117,676095553,574015896,741718254,751481621,432357116,260864806,655998961,770761456,273941326,360473044,612348390,173057240,287242032,282187659,246877878,232522499,320126814,533270196,812909366,885771285,210485997,525414848,878486975,119227042,35191770,983810980,568853996,912903439,951261852,898466728,594765429,695111842,364844759,79135125,815421010,159164806,819188100,662592801,340074258,654452447,980546017,984931806,337189927,57207171,685347986,78391590,840114054,388067325,270561656,89513581,806317090,465287692,590492558,130903401,531698006,484540677,188143912,384258830,499491235,109879738,482698812,307338820,20239785,978046260,497384198,271422425,330764669,376647163,9176567,860505292,873555595,701885829,801750355,15249149,576471011,639194711,334565762,282666503,694138710,839544612,76912267,806768370,610392575,37668266,603920674,109729765,39904926,870253981,828795385,43315484,846228159,925372794,591546770,727650437,29313655,896657059,155687473,146535940,946416071,520977226,856571671,259836483,372385906,299298268,975818880,103283100,768893544,259509164,174994002,758521052,855717334,541686312,7425253,470343952,293224257,250328388,464955853,496008969,635530890,440218795,341341651,665732677,405265387,426222437,3947841,407419729,97480774,127344215,909068964,849833706,529960859,343823784,611955269,474280356,272371842,280586939,830284240,730114546,214504356,529484749,283432734,771021693,590571037,385747656,105246842,247171286,686422536,268902733,392441581,729372664,838304016,599309744,61581289,196659566,212614129,728984451,877740502,201905088,833843956,766594710,435965004,255002512,42360721,904498354,411931602,493645517,696369003,187987848,451882113,164605146,283967550,547320866,480633457,1299001,321704953,537484900,584055665,359024926,634252726,76617499,330759207,356552268,159389287,337637485,264529225,769990461,821483268,22148366,552443306,641229743,234331060,859954010,715736194,552313519,36161416,89615507,498023992,469097902,48162655,788692501,964961643,546146478,829238469,879369307,666749872,408001223,210660707,474723880,121949222,721458644,192201422,857939053,734935884,117198776,606842697,994561447,574979338,769082795,446013358,742967125,64239212,202995410,315694411,183405440,679759000,270539944,811105729,292315539,906899587,280744119,606467387,462030700,746254058,659323293,766081454,38267246,456606642,670466142,611187577,43090301,989708596,541495606,610164392,596757947,397028009,202452449,453432144,257271054,249461136,889228834,642555183,806462418,213483831,370901056,383531085,238523389,555589373,5693737,565832111,67838823,542629599,469752695,763553783,225724499,503579017,842153626,629651635,160059973,495122142,376107435,55085150,739608819,387833257,110649110,87390086,622032501,597633210,82367321,830075364,336915180,952037378,367766169,421108110,622635197,314112723,968868271,544987487,565451730,873197017,754811042,483569513,302996654,674681588,352377702,611631305,328705710,627155364,692501139,993050003,119532424,214491664,247121279,358658426,818429743,856165331,799705485,144024234,293821803,471678405,338076307,183020553,491755920,595439578,660371979,215288345,937690577,650678750,475679817,693495245,682119011,40560331,111716401,252304787,347789101,268095774,654787606,219462147,617898975,353421514,287543074,766942663,969905272,996944087,59711287,913856124,775957987,810206445,798953936,920805202,466271564,838582192,39953631,174603894,707833403,711421540,559830401,774604248,727309384,340014326,603691269,25680302,159202113,12038004,973851087,905123966,456523239,806674471,600645790,676200356,797459051,263226093,507288770,626007092,556336735,791517384,802031381,151430317,325565776,32092493,479848819,810641526,383602726,806345027,926287297,212227890,113632177,552086256,561608274,244186468,750840,585730999,924955668,549591702,800370574,315814447,350522845,428484917,793118133,522035145,320976403,742412662,621914769,619717456,699178694,687730625,579374595,876131746,411859937,582328394,330937169,497490757,113085072,807984205,992693614,730573982,724644708,604156133,154531105,158427135,39918226,208742503,877095193,989288285,630780755,291973768,302385181,552271705,800040276,193631038,25411189,23750324,249236863,274847442,94753056,984934910,69708770,263668668,708226628,584382563,725463466,646148221,25454904,495826739,338674582,555287824,599001674,239776311,234665347,522583573,315309528,597023464,486980241,620585710,540012947,829347998,973426039,36251066,924474611,371877586,105709527,20355310,296623048,8681913,255470560,753760163,189014032,650769280,707402044,860178461,311683190,546266491,612266525,903877790,52652479,874685874,178768599,361337981,446441514,520243841,76656683,336740445,327813340,424955018,30068513,657456522,537396280,839471187,495245471,685558612,206038180,161246892,437425318,513679949,790541044,290643843,229152522,116577826,304758814,843252054,669705382,880492994,474231497,37682950,923932366,684337931,813711285,985198700,211925007,458878698,324036284,26543284,845200635,194576126,190916518,529311819,300479499,870179003,113723487,936246105,152622744,10098302,785739258,776941730,395675425,477692753,9263165,723842599,682054099,495471914,7481196,150075988,542492627,45175025,393203383,324574162,395694465,518789983,846901542,439123617,316625308,107630930,991837225,623546062,919994084,781781174,815972076,102050828,542645605,801193873,910662098,887732950,746209937,567445644,806690673,760035245,572473191,264869670,647599095,243877351,1353848,326209968,262377499,180353252,888486055,431688388,675487938,808527844,285683359,446293649,711752628,553730287,724957797,741162757,523971866,903895371,668502709,193485263,295334399,410235527,736024415,862157568,881939394,854086950,28644884,829747754,569587319,483754247,145238645,457785109,467140132,143372630,171964588,275087755,368479768,631257597,719244068,167172395,518514482,374998459,174331902,242661333,502065849,169725571,318813790,410092787,930361256,2486283,667338533,296810959,324151549,465283585,422039950,899306415,577795395,199501441,912991967,797701654,944263050,460856642,605338817,255359096,30082307,49247185,691804645,921431431,702424182,923873660,690869875,923365188,994416348,8676347,718061096,972396822,182996061,329534080,259134745,68882078,393141110,859312728,370667051,467039490,663286810,503549375,654601063,924530153,503457844,324978174,243948338,834332536,460320243,587980831,674201502,548119845,171064255,729525559,286783746,556107828,659595673,157035742,10258734,653612821,24108591,362770291,684463683,259478504,387721633,436258639,320957677,828059032,833574393,735649958,750849079,627276906,567058147,239953108,748867012,387318925,366702714,202467147,88869886,376987173,682373011,934597318,8470206,657027809,494858858,623883278,53310706,753181664,128252348,203294714,3945365,177474520,893616760,300928881,68584444,276845256,253331389,253692135,668311241,287815267,534223352,194130824,937469401,220888060,378762635,777471997,406937073,444621155,373361949,591204408,790981586,10199957,23160845,156764152,545552236,113653949,430064816,378637048,281688139,94565633,285725339,992609330,764309975,446723939,544743618,563492303,773917756,893593926,978432444,591596816,652377504,741415639,57258649,402829177,389285709,864106942,684869504,833772901,483990062,241114631,817081975,851753574,999109104,860298678,83233396,513197245,185979143,934958465,218108309,29578176,284294739,476431239,525767337,146150520,244767377,915460633,690605255,859627521,12562443,918095146,762617457,67520946,433646552,254120591,403137450,771252359,709897261,797869027,995838291,517507426,113053227,382009942,711902976,470526830,412417627,197036329,403487589,825589871,925589747,959329972,524552226,29975656,404035257,531284928,254699136,734748447,282180072,802641836,480780321,878512025,273327235,490930805,122829386,923350174,821889593,616104525,127645522,136011118,189654373,547648497,581480620,400792261,692975594,354770751,651840329,221031817,46716762,767013349,2528200,416446468,667187047,190920536,130867549,389333627,28284594,545080443,481139364,459751129,533452530,489959799,615162771,764873470,462745199,290221854,731607064,828552404,663905868,835021716,6956270,763383014,268836822,58061797,189126688,143661550,136630063,54446550,651108974,720841986,152587614,486410113,925046485,535083474,128855595,349836891,767944207,726513138,586066542,585632363,829009223,617155304,582702173,696607142,627228534,557276853,50049287,238000725,741891942,41852039,148335577,397682760,992159034,872641514,928067139,427831561,113016813,793171338,359691993,176430776,764981033,891857951,776585532,523488444,24111494,637519766,391112863,492066006,785612887,838229454,849884020,698041297,729251585,852100419,943054443,465149341,587202368,914306213,71906378,376841879,2861545,710579949,930965874,127415752,687267442,233328595,898022964,570604831,717992782,51653393,120180821,710350296,573037528,97975767,582259549,634149433,404678577,602464738,345449473,832950675,402536829,718612514,84364489,16241861,300805525,646974989,18445921,744908426,119643164,781201112,26519550,723898831,537509879,126901086,791303924,846018818,235843116,10059655,669049877,662093815,738816788,832983839,305323098,839224520,363890444,98412317,524229664,834637074,840397600,244544554,678903044,829605435,685874112,116652824,939981785,540311495,569250356,961992556,493173324,594645290,371633678,686444067,300029488,384307788,423441105,692995897,195614961,410815423,749369576,975346651,333380334,181162270,519964274,882265311,614531574,813099491,228390825,326250577,316427528,780990263,681621365,876522107,75133858,509739746,837674930,789848650,141850046,270348851,438419618,241656976,46593641,955585999,70115463,725855892,52018955,61813051,155533818,611158047,975792737,806090480,701050730,552271846,669986368,206389212,239776916,991566926,748287356,121129205,134697115,551498157,730795919,173220804,188642533,136427829,594458509,755669231,589094863,783090009,88369562,63019336,155312205,793751468,16013005,560085963,570036824,44707393,220882799,400841256,739127931,790840581,983592959,773056409,310921889,811904898,31472515,49775023,719626767,123318308,398063375,29726708,841646926,667666288,123973850,245261486,264164135,266553248,640785347,461436204,823620881,783356097,925072022,585438415,220108709,181414833,223389527,421266624,705630089,818670161,356977191,581322523,542184916,811554847,849567780,83533997,782721575,991612446,431983088,347894750,676536032,416590105,226777627,129855563,198042931,893567457,269181497,704794579,884170011,754001612,175543958,623087829,227090400,900379202,65173502,732461984,924291554,775469008,462798883,293852522,156933781,54247789,748268968,959604814,321185779,102155795,902554300,335723132,924543813,503198363,156904355,921463083,953021714,41348158,251357114,675756923,220503302,974130525,315387333,622960253,281990096,734696309,994519662,120892389,779033576,877017349,51019644,643352505,745054738,404571729,190535774,964665715,542206305,490900025,183032786,556141274,117579859,290322016,39444073,401830795,978655341,918550245,126203730,445101671,660785441,991604560,906620254,804048625,433190274,132313111,998068710,53336019,271221643,686185210,59053281,807698197,527467880,307287037,525134814,745783578,240477706,187411622,365800408,54657038,717871325,522998505,826300287,937625639,206807774,385124374,841882635,456257041,840270150,502472220,634167501,60197698,684469075,324091166,246537801,911404939,938963421,856074482,470517198,455518708,588803799,174103168,605169178,936198349,806686205,614782649,621944898,642438491,723130554,116541384,551215491,510102981,783898178,216546291,519531987,321302529,981670868,663746942,806814049,157411822,660622507,626200512,582293740,833205103,810942190,126593377,880999919,540240373,402444052,282843462,397314369,677500021,616425648,79288720,786639940,398618490,296197566,577369521,527680592,438570544,403798753,369575555,429534677,970986005,679032533,260110126,238755865,327307011,923594372,76810710,436176637,358905244,820682778,785511513,490613897,580928416,680884286,324711951,616866844,39374026,435151742,448243066,920599169,256931703,1378352,123205655,862226322,726808544,173157251,80861403,784968986,123805292,694601331,550031962,721640608,536661073,957470485,992616542,614849563,864997100,860350886,629415263,807302948,50654537,176520556,256483336,21057169,140284803,364396755,808311208,754096698,317507729,720234591,121513484,105109409,408097275,827961429,74567277,393220821,168015973,223080188,78860942,765871002,24940744,212519243,33126979,503446877,719853557,712121025,799423134,189718263,102982747,9090378,867224821,374030050,747268257,404787991,302754031,921061304,898884600,550877153,397985000,916771928,281920640,346754714,711890060,897549233,591237469,706880930,208186776,861209297,892134799,292943608,441066878,233628139,758181059,963770905,285226616,203585909,503949114,244625503,51439362,148257595,802244300,593754659,390137410,239804814,975261661,739550067,53238290,996958392,917898632,990227161,782638064,383069906,870771427,353607856,467858814,887190767,16552162,809252697,869458550,67232650,392634309,675700642,838239836,461603422,567275394,92362477,368114508,622687895,233086634,307123482,936599887,113514929,110742724,469988310,391124793,573743471,337301160,752490339,748799081,725602007,715012736,459366551,316978874,267882797,795626777,282541818,582920649,141855890,976064780,622635851,765277908,469567754,968916273,941988011,155272561,781624035,608345624,735361121,857449631,998653676,787203642,55801310,378028684,482803836,510317322,987377909,721468274,377644071,777397289,212008810,950118485,926497806,564262703,124722275,527210741,237055779,83996116,743395938,879311123,388473003,354512244,481981781,352634819,650079386,52129161,599118844,255743451,212986538,318376355,867985568,27480865,170512258,422289265,960355220,967169398,246861143,519630938,327863182,246915178,236606563,246601499,59287481,943090185,508211884,167713353,313713969,283753266,583841413,406023418,349817947,207495040,658270629,447154838,664281323,536161455,802694505,785100287,877142491,735671758,81141095,318101189,286747824,322360792,856616956,523053496,810371777,570868729,260744999,374067624,261152444,316000407,148960715,705829965,777199703,427427282,507984524,522557366,724887494,407368112,221457477,806605871,498800,516860436,205542805,692814836,810744140,501441005,401747357,407949656,591221566,988171225,54683455,213602235,420825020,299673322,639116724,837166891,29050374,346970884,912052244,889721176,554432358,295829116,259629941,484382938,608841527,291147502,225078302,128416854,924312472,136952909,663501488,14385674,171291340,410115603,239367818,728664271,225717247,565770640,86585542,920553810,352642761,778959415,636689111,23465408,705010825,851526461,550011577,425818051,37348765,825483750,647063284,570934033,604802294,254938480,657569754,334657324,213393460,420461729,33109290,446335356,741952748,233032795,586306174,602333181,741645410,853953394,224925232,115882375,252845491,301077282,187981426,965583985,247580297,823200903,909428087,716577179,633601763,260876384,564104053,807040416,188264882,348781643,803627117,244990517,273321004,725318980,615572396,39498160,730345484,474315701,867292753,341814138,832457604,905754692,231160048,527208888,117569761,964143168,531537027,582660598,634893196,106488951,848945447,789358397,800635778,316180842,477810384,632105569,30767581,596253512,638851157,589026750,626685040,738476120,635861273,314656399,614330164,811731929,715547184,368494553,562760133,41816112,626983763,8194842,757300378,345687938,95444761,8971971,330310294,138356915,844992711,780811685,863554316,662350015,981756217,661955497,512497854,703673882,280326017,676478408,778118767,682607620,794645990,600398395,318483546,999860774,42112281,681169701,389190111,374479304,165091218,179654935,192204407,339942717,514737876,326465186,118346620,512710300,445580637,725811356,377304039,461932548,180361052,807554668,913720589,265417647,848193485,185943915,64297811,950493455,787253268,559585671,341877152,175927661,334495796,373652749,617406918,448976728,791885299,938738451,51290715,295362657,511179269,22809087,670991333,557855457,803925120,765720056,639287938,890492928,640082325,299594856,832731543,388835206,380333394,443300955,272268885,571256894,487628466,691066275,210610707,129572369,869299345,333074003,331818166,133897841,364810809,120629508,640044402,833482484,145188128,250615525,521098445,849284211,679111535,61138583,462515827,107309927,147410124,85890289,318398374,789104268,131232588,471014219,604098990,380347796,783104114,666053013,871355714,669707933,684729362,678982684,905014723,659892980,29714059,607467859,54953648,652402137,349656086,762828329,175260487,105234683,339450770,434469144,71220204,237299375,23552303,427174750,193912752,554412405,403006898,477540341,324568645,947199258,944542423,155212816,788435576,168303546,605365603,176348476,907402882,628923361,954471946,183235945,412809346,500977065,395080997,250472386,804674550,962748593,515585346,823543276,146569904,351409950,472993284,245757274,880989445,295414688,873027126,427140652,991087376,824675374,650833659,470600721,284006109,482634399,445175628,382763213,59341009,959366803,115887586,841149632,801656037,159396796,870721109,894684640,870024808,142151601,976463540,176548338,514887022,96806638,399521456,574615459,639210481,504723047,796723492,619572303,116826919,94579235,116884583,153919823,135279771,415762314,817908996,88828940,191636900,426281509,226750315,334043423,326769652,44865237,857833884,735101782,794433634,948588810,936509079,289768996,453085666,261597372,488613416,67758472,639039031,629940762,900155892,893599286,807496848,141035785,782778812,789147084,820212575,296645420,79656364,777498863,118524662,483148699,723963625,363829322,912224501,239986110,887182951,484684429,138960745,957646373,290538004,440171708,388706232,865681130,729209873,358156379,927855997,340320821,269180127,938533825,84374690,416394385,555657978,625197583,983818431,188416557,261403282,184150521,442824203,803456288,547608601,427387712,275010112,852538940,323086781,58981626,386846320,11278913,89563679,798411655,402992873,280588808,116911295,288761403,995082758,657556732,485901727,186883106,701672336,924718199,609923523,606301499,520262188,270989733,480436847,967682899,330861062,636803866,991775943,171307032,166368071,661030266,512017247,348145212,138347781,631368715,789559899,990751422,494237128,281065249,7615764,730338844,519430596,330110857,35750085,717076012,107969491,893002651,971619526,789969963,919237823,562307279,281653231,611899944,325082975,744507435,50639652,837082800,93860132,596145564,438928275,490370869,885224095,405179414,123088757,874938906,969959067,92166159,699889154,574961841,983541352,318441931,529270311,897074337,571661292,503894312,237235732,538368140,181015687,437216500,388270648,744903113,652092497,489021893,789428177,11518842,140106741,95994479,645610049,819553615,206045389,862032829,49074325,259461578,65665383,242709385,818714001,679539021,742793720,212362627,322831866,680828884,897051368,202707437,602448191,915181075,638850499,733525873,48090948,278357652,108805153,406270851,482391470,716730070,751798375,693582832,338346987,662641100,90181056,796463148,15491621,947727855,401391797,703770580,188089902,647585978,736346528,776731387,900945780,246799618,392502427,933419884,262804187,671946866,64651740,947082337,263490444,923914842,575594277,102174694,802031105,347492214,853801553,734552898,114742428,396374789,744018915,543683737,137586380,690225962,96190117,335851693,239260890,716578077,979368567,483539787,803765079,951093732,295734572,344632408,674771583,847826720,107087323,526444498,212290010,768165140,585750021,615909696,703634135,278155126,721767600,324525799,635109063,974568025,229185519,872348228,846998436,827400780,329258480,291177182,607572311,905841432,389209918,903761194,216657559,126103709,436082951,455131256,20030753,757727071,784894297,914929410,174649086,967855563,50378868,764852662,124185849,700620842,454655766,374270105,711527338,724012851,245742454,952575170,356505130,39749591,154138480,199024850,783659183,860259405,714117923,409183039,585029155,409237250,779488707,349294158,246047000,922645648,174005549,442272778,449382032,44422906,861828586,518370627,646906342,466552068,313564982,230468785,491703384,118907906,342975989,403044520,986150796,473960987,988596066,483056144,899206886,976220354,393727457,738631586,35370017,209638120,663916348,435648236,359787862,386042271,838972743,480436658,717486816,337560499,856561019,189009309,691866877,589908424,690855758,677043855,52236294,436942311,138668715,903881266,644729156,570880819,851641829,119130578,158647249,265067536,319133278,602881591,575044966,362670778,701496650,778913612,800258318,780771623,871265949,797052451,307124640,111567894,510433264,978617952,438011365,667369847,258875161,619057842,403681504,15036410,522672305,586707149,327105814,322191246,200907823,223097583,998000572,214975558,189730824,54242317,151713854,37541955,772262903,206820408,70239638,175495493,804903289,452176825,485702295,408031754,369444439,605991969,768275146,432871122,593203761,260875095,535117890,432772473,468604422,321045308,284761307,573821579,981280943,105413446,724969841,837388010,563594099,313714916,875058114,853900500,314941784,712833989,682891818,448259289,849915877,603256707,336711246,213445115,662233881,956868626,312091558,661954037,307145295,910499556,357539613,952564625,301223959,235023799,809616831,835059706,541107604,899684843,159481304,350845391,183445280,625343229,897354688,607674750,980072154,758873997,720258613,364512220,352867464,557207255,68690418,34746833,208075392,32104559,340166799,987626891,882490464,465427317,561139561,212020148,934778728,688780560,162230586,11971330,204207346,419325044,460525608,793243678,127202430,613961849,606760899,10541522,677618950,322500030,224060262,143124351,762240382,938467224,581692656,609097427,886957669,247419971,229756663,142209943,934782713,471522904,859496502,614574162,843776901,205266383,398047214,57288355,532825942,200137623,470495078,144524624,170326815,376015095,533863867,759673549,998699328,741941265,516667024,169375742,961912723,361564545,810905419,262778980,818617122,866746048,350055198,79455569,205261501,30507996,600873300,848653527,769764347,939986158,977138688,444563569,661968506,655885411,98834877,74018776,68329601,589462281,100905093,484075444,932004257,817855771,443758370,378798110,286922747,76274185,10150141,52709425,353614094,128742904,158588337,918401916,609906979,700645434,941063004,456281942,352931440,675107287,778533508,980313993,603828476,301556626,52393242,663081592,572038496,283174646,202529124,610274558,666975754,437269726,932548569,457470285,768680411,429334727,543159409,945879960,694322962,267777562,337683334,211323421,524454134,561237792,548634924,636213244,336610837,863838724,505352823,737092209,308173744,26816973,892715213,532592258,770782103,18622928,806730039,999589530,696950731,561519435,749233635,697751756,793045245,10530105,213733422,462718188,203533897,168461356,56592899,616317937,571128460,308712040,364767615,212558881,147632306,663275009,10242970,541348990,116874199,90471944,627029576,898907920,531683895,320836897,847778265,706685937,358451669,949264036,106725023,259243854,440584444,931306379,409688476,444747466,169693624,159824607,151902134,788435556,621969997,20034060,359296648,131477712,23510418,71349329,423224598,617575737,769855159,570396128,638022111,856095407,338747191,714293692,783942519,791649905,896330191,82598064,323332464,248076316,537864339,785484393,185044856,694587856,220663768,156993559,803809791,163713227,78241483,63459609,852219716,372348943,153910385,76181153,18611722,143752075,797446352,442717264,429358222,728905465,655732300,548559980,890089888,712937001,547964127,971802371,589593282,135410616,414798473,976976197,246922560,323642778,112485706,763674751,214845162,675731454,661514323,182964562,859229256,450660940,243014003,128099180,420019047,856121028,404993399,597692910,762714258,395485188,376083143,476028465,979701564,242754010,41257038,161340683,256142972,787489415,367095526,688020922,337285489,924587111,502487129,705919011,434231190,558754565,62291718,189199207,340204150,246259252,531298199,758049085,231467839,957339598,748888965,281708,160379157,456038638,747327265,427242777,667172234,715804440,590029615,188759074,470590126,461241144,715405580,692451459,108256736,86231335,645124093,770589730,193075035,693120435,513004794,868633932,523097784,162059453,645357818,818568614,770066142,140053890,74348168,866794075,985620547,529420181,551581940,258448379,925264682,37512218,836344874,492169271,711412412,341338229,57369969,562117697,252689440,555765588,941919391,545248167,750896944,497525939,979434766,34349308,702125976,431644789,7534854,279318784,979533144,242467133,481612524,766440538,391476320,225025370,315918345,780686365,871771434,666013411,774543693,191355517,142234436,951831670,151530222,352637166,250844024,967281828,937359112,334547754,572096656,839414090,383703465,590005873,374754170,330641551,857122207,294256817,916719887,382879295,72598427,32699200,660056894,728326288,477209003,873286887,566960855,243491282,8787124,460818212,27345843,983620271,934028160,104775365,646849451,769927682,745545742,856821237,866330868,446247615,725538542,405603064,31232245,150584408,125357611,465929638,679513592,604678829,177306990,564964163,742374941,69532808,760634506,101180948,731010851,280811032,508861716,398751391,734919634,218992181,74238762,786789689,986910309,41684574,388791481,928682614,943817798,395708186,744931239,451238942,704283278,328983643,417098197,300767095,318176186,993185216,798822361,887890169,160392928,989790632,960382009,311767421,643533816,764395459,471139047,374925480,69200572,497588713,355469423,111454915,976381007,835642213,573759419,903537791,295911053,216639958,170374734,755872914,499500598,109732792,140779883,658225161,557510067,634950527,337146289,21663321,61548589,17324940,498680761,400656237,934586170,632432153,101496090,397722235,222029780,471138321,235809453,7750640,288424380,229913019,971234797,437201747,657168457,557876862,574282910,349258255,923755638,439911445,73089678,139894962,956953073,692262289,671080128,351030678,172789877,958217376,606565252,387497466,516609532,332382153,472653680,856904874,118370612,527373378,54449274,82145388,522236790,413478456,822588007,428622596,579107894,235944912,107316345,292786660,44302588,895345529,599649088,673335957,782494371,526554597,533156686,627478078,474769492,772508830,280580678,68355712,683801907,180479012,703392650,37778140,223314981,664241539,154865145,953664582,674212168,910311027,17782610,518044648,657771781,594388300,56746861,725818611,861851453,674155634,618613956,583570024,943720556,980778381,666474265,552481453,640310826,713260841,941292631,901798245,200287261,809947964,268406650,539594846,949547469,528741271,153345135,279413164,609880628,986037675,379125257,503342114,57687379,626056123,276024130,978431993,198888593,933116522,403494470,6928119,885536173,821580891,974375702,261090512,755816186,618690194,67219275,393322988,881518238,752071913,283520128,652155102,674434609,484551103,624832366,752868357,512097841,379244051,445132024,974460660,363028579,6874969,250953489,705997960,48991132,476638206,843845249,465596430,194105032,656575431,654881973,900563095,80279676,381439151,609359732,891709823,715516057,228216541,847694029,821315035,360541477,363845282,987023658,505837585,209209190,236444598,953035814,315490609,980838820,228307374,644561617,196270943,9254941,532817167,273924567,884155247,601202434,308150367,834668736,876534523,838149513,606322725,227778444,167683437,191517783,145435289,274083749,535703768,812367731,431891234,698781132,661511992,351932088,974009259,633830826,165957337,418280078,997414259,368480267,637227862,233543771,491635629,693015505,929079886,448451892,793729464,184535925,40599160,553583001,239196061,324110871,675155179,220440163,128438268,277863447,944990152,178693379,978682455,166763445,534196012,151311001,306723006,128460992,39237382,175347244,376413562,419148593,821441359,316366575,656785837,186487943,931889246,682323257,635603200,262023278,980330556,950479837,195045250,112688703,12679190,34059048,893639030,614920146,172557405,246644828,81480109,282908560,129594521,224203557,332528784,170238950,968822602,639962940,305505806,778672338,159776724,433032717,402623453,688048747,519673379,791614817,833738802,723908027,634816206,91868556,494758300,861615915,588071767,712717132,441384025,664269990,584962110,420589044,429778924,856583103,857212530,104379549,323036744,993895849,341234903,295557155,160542746,766670956,775739221,519900558,25881699,108879159,41485711,305758089,232072624,491383580,659564379,789176775,864796159,318293600,733285122,885263820,874955210,413929246,705871216,249463673,564356735,986557035,341969050,613810143,291446674,566502473,598395702,898031857,505579680,361012711,647508560,247417847,401831307,148704542,385352661,147977102,777942575,411629724,905271507,397094785,969600445,45755440,254915025,410220775,93483053,684824053,894518190,621707319,268542349,551227172,531265861,894619580,423728630,54193442,893011623,325406729,516927609,573046494,867793214,75405460,693236639,959445383,154383084,95273405,401999555,725242222,141017084,286914405,438528218,70293461,195065644,333990115,407783656,783446028,2718859,615529927,961938888,608764422,431641245,772297762,644113138,32940002,236793275,931468514,574942940,493347008,313995593,841597018,472273311,636264222,94800549,356146909,806666173,465366862,136687333,509478966,393778975,57087691,217478205,856652678,928623875,522910316,675064571,905980428,955432379,963700290,192010413,138414571,751295162,627267739,562919220,505173893,694985004,452463796,595893908,316611872,238485372,88548817,448382113,765603069,505940461,689720889,45735490,653727364,478330070,169123248,935841814,924247522,434163582,27562616,138793333,542552482,970788689,370873414,133978434,770491668,650286552,501963448,913588062,866512185,120255658,936933347,575710004,742762026,353305672,810887194,628365981,648458010,976809617,494013201,458032947,149462249,316609080,192545031,81156001,462179430,77629050,990200624,482445380,633414481,30919382,198373081,826670428,78780518,500799070,244731095,731851006,714799389,478090528,683395212,220561791,57677640,581684318,24592425,807224603,253923794,6648737,641815160,946515629,601189007,295429589,724166194,103904872,895479827,459849278,181590841,597362604,213238411,426348150,497527986,900475387,254685085,371576512,526145244,983503716,662183889,761137791,472761606,150872941,588067951,627816084,34039018,230224992,802999123,149621444,560788397,742565733,303163718,744034431,464943601,254249756,553700034,722290998,356024927,825862682,394803470,124235317,126375142,458281212,167836352,682499975,680669224,651982925,15846862,38973407,379090352,164858392,343924897,947097498,690986656,429871319,207274775,638018159,275472469,665721478,81313317,964954965,5652119,57835003,455987719,405609314,10652910,129502143,656292835,292339942,807802627,661911371,182866301,9614639,35291383,34143555,236889110,112488112,390946784,919510703,526791905,596423793,777427963,525126199,685293182,621550648,588240691,73290389,397584867,30306696,84789863,399633369,569638017,961457575,134153532,794522547,430686756,961658782,8314073,146805770,473978514,130841861,595136075,517019641,174534059,774452736,460972639,330680974,471300943,242130090,501049571,383907314,18244414,925917097,3499151,184166853,991353060,477466196,61732065,654069549,861391821,169048962,158945643,905870925,434183747,566267316,310778060,768418109,260314359,873192777,370778554,883214671,842218534,698444901,794451012,252503505,354587135,49969439,118413335,491312063,285801589,151179962,880912908,467120575,380898564,35781682,46226363,107864371,674688589,218777394,332618017,417727475,62360458,805487739,903000237,406822638,8444485,317444833,570144854,201277147,252818364,265594487,928712547,753765319,44913413,398548478,449330892,994246,218534696,473764093,391775216,737505453,932344134,577715135,683129262,551421305,274722668,832058276,546335462,340031771,504443909,45603197,66319610,952448177,278348156,478690854,64301139,100265770,619103327,138592617,699861147,601941794,530133207,652322072,381043150,142886516,772277414,69469121,867496664,973485975,841921732,774037486,813260857,574275896,950229980,2429869,187137962,917087000,14413231,675373787,419441974,607437476,203539393,930967964,870820072,403849167,930483985,590949548,240192998,686820273,312838503,818449881,232260230,358981851,918851287,15818095,176690302,10054499,608789773,705916783,929215594,63324756,660465474,357764737,79972289,945229909,741139638,506401654,581578948,323479599,434310178,708657990,433584891,996512177,547245284,543965365,509077262,337770930,441787141,949307032,100007861,417326601,287323006,308480604,855960009,889511173,920221349,959703408,453225351,69551540,871859359,184595549,594760432,877916111,936240980,749509577,602518914,99513824,211537733,503743879,914846533,55307954,550399533,272385891,480041265,75919434,220065607,889405185,873760112,961939743,627407044,7637873,990829265,189548478,857273633,412403858,319408915,115397293,470525240,438044769,388161925,81221404,343272193,168773078,414451980,927169641,840432092,60200394,287938449,795715272,103322605,342531602,429124392,804413389,850634660,11194999,520448403,943934586,732085757,936418042,320333736,689445464,346809456,756848603,61557733,136623175,748145390,546592825,41839616,811967140,625398456,265614930,828807344,780796487,58990671,216059173,805632215,36971330,865153510,466344612,625371751,155703511,403433621,867609387,133270048,957249520,557258079,722048102,103390112,285914716,688695462,14889747,21825532,848465385,847284451,689945476,609440999,505304158,385561927,472701890,731590588,524632271,957033094,735397318,431386154,38741870,607232941,732662979,405839283,870043538,593022820,531163555,390074488,590443214,427400915,468155080,98198300,459539122,728999819,741603743,849546455,242371107,473193379,274476848,832302239,280073036,62152143,839448346,141824282,623238828,742242125,185531734,483202674,878019727,16752256,963041291,492202018,384359103,577813656,293771873,377164994,275864029,591155379,532202419,60521339,982902983,271593107,353499620,488996538,536796034,597486273,938422163,979072282,696256158,774146843,508747583,349838551,539626011,909820265,540231806,268467466,426775704,360011330,217643095,785266779,656046786,146912279,642111574,126309692,63464792,804443804,722000858,284256700,214862883,514106659,689616573,953826865,298043131,374698265,547862100,438351110,501557323,6129727,126773850,14072773,655938717,710586504,133854259,86941392,56745710,241845514,184145766,782259519,347597373,636764334,16609372,743841760,548120262,49431529,898793315,799298252,479355751,825194621,310899884,331611391,566646319,807883733,517129940,515938140,733831381,256386165,736995747,686120613,966306429,582998755,55934710,521003609,267320874,967655392,525803263,640505915,982330372,296839831,876544264,744601599,710686106,805012920,555330192,990241991,876252153,552172492,530064934,140030733,965787233,246518895,710998686,115434236,613596595,314812599,109094555,172652523,736723794,310728266,703590408,207549285,310888248,411690089,517121388,251549134,689441821,439706738,460609898,179746000,939234441,218749407,343138620,282104146,603663822,576233223,42800157,896132805,754703490,458469521,490350175,286781349,873432803,675516680,45617457,773821869,860722992,384068175,116877532,875767891,330728248,521761184,747436269,343445706,331982156,693539793,423865207,78546411,727930859,177170751,59590166,404000933,942230814,233526134,240486942,791300523,52884721,503581288,987180327,860614582,101121765,558620090,564027921,342865253,201929667,481213172,822253060,948216668,414079308,42449612,49783742,650272608,637716619,288975219,400084104,854553232,758102546,779793185,560329893,460365468,510395043,27537479,934905343,739246393,54953035,745765655,225243724,197815441,585376039,553208326,542473993,798701891,200769929,773024395,394986224,856262911,417246375,739176610,930577819,484504752,306620225,15621692,541382508,369083814,692397,501500906,380744893,87947670,191344390,4077235,743865683,664489456,298719208,938004182,231367576,647202152,883331645,529744469,856625485,125122127,485921030,423619858,711984330,552898347,225710203,998979190,398243972,681149413,462697954,831502859,915299904,346880581,122978255,626238894,773600477,939786137,591806048,915165803,498763939,114814837,101947980,441782771,977571301,488527168,92606068,81217753,506771393,149250969,757114504,921918855,539167192,688695788,900210907,942083600,380940844,668345257,325013060,105849145,372188296,733026061,913919282,192799489,315631900,185339978,380221455,265466568,451759051,364643351,203591307,394905865,496498951,387985854,257370413,757270258,776916265,464924170,672253182,685607618,861189577,454751282,854187117,436624941,996597851,780448920,510926924,921431998,761878626,736577108,777911635,583440432,35943737,652549544,675561674,626065631,215709573,109510431,930799406,215849034,201379357,513049615,386030881,589919353,364274609,324050709,319168128,874837522,797863137,359613078,477473574,4008190,235856689,38080743,419105419,717840501,412476512,218906034,946200794,126664968,279532420,10935145,285625031,247213061,799426257,440773759,504444523,393982016,944057572,901772685,520558016,457434162,850273402,693089251,623308373,691002275,716673987,763840263,775950234,75699646,109693652,413677083,79329986,990633290,623156852,184835268,328127669,345549715,996113406,320617475,83944293,866874687,690432371,336212778,108712148,882212362,544256218,25944592,604741511,176997982,249781612,619260866,911634710,429403664,829192628,207393763,828713249,264300551,677347448,36105324,819603495,167808657,222084465,887409209,301666820,472668016,299918680,678228690,553278684,347505782,614453871,609444444,504086630,146767029,350623220,842310530,295471744,61966062,995828364,404471237,171706462,871832720,749340886,810447015,165391194,31484329,562211656,871400322,629543470,15618314,932800824,20998827,913338310,538031792,494221503,538754386,117892948,108804231,260503398,796904156,236996635,259327804,865257547,430505754,743314894,49580071,55203105,748854594,14530801,555210778,481999594,627159452,716652777,510171631,754202806,67823423,798780979,741963456,182136443,451000972,849575084,636185519,918749173,518909674,744236732,719808085,325828790,997946625,812331768,574159737,816731726,119665845,92143569,411319501,815001129,707427224,557669191,719254203,589101653,58670420,891480517,429272299,98290621,70996104,544756970,114046580,204682070,368495530,865154696,724421540,383615286,156479286,763327095,934443394,315972798,259680518,607890589,905498598,678432401,222325312,491137753,347553486,261960740,83440771,826038604,625939262,843495031,456551997,665399128,348048258,637146193,375648054,992241725,624690957,192455667,226991159,112336004,102415435,94766586,357316942,958508289,109431600,378686952,223110976,365387093,61790558,4305345,310479177,620222449,273974713,492539519,421552689,634064587,428545232,36759194,688008460,650818686,605205452,907320328,40731160,835361205,971397789,803554846,968668888,268427766,832442624,262546396,60385062,874408589,253428235,824310062,637937891,751278161,537610047,773123986,777663096,235932097,191042306,60387045,959395889,335934931,545651919,631973753,64328894,151924662,902841180,518629371,106372226,607400728,417862232,484763043,48382581,7238106,873986446,496492409,838480870,327608294,598002963,732081293,848459801,52710376,191494163,10034804,944895442,694093035,520439146,341400096,444016344,40333641,864475497,478982999,877753800,211130860,386075565,532641885,746410110,26511846,439800408,676618816,186060085,738260876,673950048,631110822,143242456,853210207,333146392,177698261,225875153,872990838,108186180,603743634,580998998,676431138,975801615,559819598,465184647,425797421,469370768,571353559,436037778,458740016,472613564,578039894,278203449,92384578,939028913,2610393,4685679,553893037,110810620,442359464,507257727,433197926,870915119,354035288,240640403,964431858,68764901,878372096,564141506,839282659,781044717,651138230,174714550,657829470,707127707,327118806,290654483,987421374,469931230,210978542,970343452,618517645,625746015,506944666,733026174,410555968,330093717,125541689,170430635,451184975,315657565,347749123,291113714,219714648,701350571,694094538,245040473,311765590,193670467,41349642,544700076,864321874,406380460,29093898,768000128,867175163,164161404,82579138,129798057,173496475,499968,305823159,298906017,548712060,808205467,540187711,243405053,484846261,780457000,316392083,144063002,513202899,820339603,886763602,780455108,31570907,309037081,297912821,205200811,483836632,141187810,563180374,226082717,616268183,266623128,71716190,56218417,462688011,278562666,254508093,12907112,484587893,343510996,77818150,781459062,247887727,963792585,570210730,330814795,137635205,335435199,609717095,516267557,954613012,18640835,899463031,5381238,203119750,775592130,169488739,212373519,879232312,474425822,648987251,144136652,715548053,627105628,359154330,923911573,457234803,660105343,380760875,64943931,680729019,373005026,756841016,604040149,513434184,399048364,412131708,526512018,737764716,437549843,124651879,146339268,629990338,88174945,636285431,612383982,636818299,61442849,135261181,824410190,670066409,547052861,225501824,465557955,913516493,706347186,451747018,629495110,293143200,362072734,514092985,331306986,879007223,398825355,31280976,364029104,466972992,225573984,683684129,295127707,692487117,354498439,300385785,183467775,695375073,175391772,462259009,370561361,432845065,428155631,377203975,29199072,302569894,153495087,737490044,212686665,913118944,734649581,749029946,522379753,885725981,292515587,811209122,709282792,452520489,537071427,530717233,663290400,452339825,739878071,293684009,413203968,980234894,840218977,847896624,759571188,592739820,704988836,471315132,724100691,139785401,780068022,797409837,274482270,197083337,736719892,288913058,702436445,897611858,78530999,212968490,955044941,761912531,175000405,150933446,194757998,617127022,445598301,975755247,314214018,664159586,788275013,838097427,786750770,570554307,28431834,291248139,967021,838120797,376691541,917162576,369592343,139847660,748220124,740354800,721264546,560067999,672147147,515952403,387159939,386230554,998883730,402477236,609388772,229545479,638399609,961063483,941202497,425049714,65636938,549139890,536488189,47581705,748415721,787541121,748973777,657351309,612151374,895070220,952641990,345503879,870560007,517880366,551503116,637567067,662041833,551875100,744607830,518523952,686118059,292517752,461033110,243801198,184177760,917381610,508594634,622815777,200517875,307967170,293682463,442524763,658391749,358778425,84651907,792276831,397953175,998601867,357636412,979967701,506546606,864539464,214334619,233357200,234772717,717277520,193598121,329751059,96036989,904047526,261761569,60421522,813719462,684679691,742738791,854976801,880666899,131626387,752310513,722703350,211832185,15785901,345922588,444606484,657688263,85574049,766389887,783986778,85179165,620858762,324410091,761454578,284860430,995203058,139583991,952564753,936725044,377390086,227931860,96502543,620979746,770202432,591384898,89307983,623223432,542011215,103097426,157565491,737500924,178629117,926298481,319923850,229653554,585947167,280693975,224360660,984173369,50937479,504251750,315233352,577829310,805372831,741266914,661554790,239112590,54537709,850444762,384061259,223182865,508291491,789188968,699965037,283772547,420626274,140946215,525394009,535204655,525736822,568361031,814574304,648909831,269389260,321966068,9472952,641215355,545712360,39457190,115738225,498459872,562607671,512809458,48698146,951465845,365831359,982160987,187566830,58410623,574149634,140231968,838453375,882789140,846391837,314156340,379893743,471382384,210024446,649553122,330794535,956122932,636572538,38569331,358732948,992451061,707534191,492974669,625981163,678419963,736737933,866586096,526565619,423774982,117259611,997575977,736278719,949451336,746051048,829994523,18506121,612394437,471002382,107848717,954553124,507536560,453546252,333518583,32661411,663225706,749321607,179334377,179160560,631013870,559759066,684212958,642835206,461709819,592255908,285752133,202932748,905828149,631507431,4158795,335426559,42635911,553891742,497514549,785963639,244675652,818581092,395258477,307720089,326037131,42338700,896183243,616788491,895821559,764525210,995869956,993446121,565168035,963369738,425959158,970864975,671127793,947098313,807714391,974854388,396940136,702534544,32748840,124784343,823120796,864352422,637512592,551938814,13128439,578394109,839010744,983871087,773664886,1550709,841928390,910335699,466124260,150406453,955717001,921487234,813846183,743577532,141941943,603805065,80486056,215132518,812016259,672931678,70813492,841941315,392719040,538522713,3881057,549140222,139986275,523921705,581574162,788073208,576413306,229030938,588761220,197713161,767910132,837735216,893861676,549487501,702763806,358248891,609143780,975300789,210178585,87162199,202208269,675093787,514131697,402875834,710026571,490914429,831339899,340355125,730008929,640251617,356031243,699848215,485472865,573381499,98110951,379412077,115638441,769127166,765922120,910908633,101061257,323515174,389711123,49242413,575768851,276245998,942486583,788078478,46340893,81571564,501503208,915315025,937775741,938899149,79054886,717539293,734547381,217437422,977579716,451286770,127464693,867708006,372973865,634391465,715352992,658666838,179521342,640294833,750906312,310899783,540427794,102698722,850790133,167745272,825672054,595596789,372236915,926750521,848924191,126748025,952458664,137585089,401306460,443587943,447358777,436104745,577422922,722806353,378684339,351851556,383303700,582352223,641930375,61630033,219365875,638604540,236212292,384590886,955551269,288082880,188808217,352384269,812225720,616859620,458364680,396235850,701129792,549239513,846226569,231484844,557679211,273452421,837246911,379188180,329013427,96829316,230718796,25948862,9134047,152952310,243048751,623655566,321353120,999870014,87047716,164508200,272988433,588328863,492718644,548770352,326762970,237264758,236519748,67949725,457387111,275728104,637372539,197202325,429185166,562794583,980008803,155016222,293815421,809852146,3845547,367428216,634870224,927901867,466228224,242480189,720641003,855724400,546821104,659675497,646454278,887594794,601444395,817367868,480323440,758422877,333764985,205270944,441251510,299477142,253054788,169562772,612732292,621638462,383866295,955188137,768485969,638187000,775324004,104185875,671417977,742683216,536484586,69394759,624450231,244698819,37680127,818110967,442698165,225597303,61194339,945102988,204054666,526280179,336726725,640828786,351099568,689899781,503761316,251976856,103166071,140954666,107688329,984039089,851338740,589034534,628156587,833586081,838543932,197365677,453883250,930196208,318480696,266359321,110794534,430246273,906015050,396988163,541799060,153537979,609824192,664071885,816178952,9279150,350320948,374626915,565893743,434904912,334673425,110734824,468266583,960854404,681228509,437417365,419772637,597398472,69517602,878936972,892583931,239171785,197052267,720550197,677983155,54711141,138571903,725223167,812085287,168602114,154767525,670868973,74945734,215085729,174253080,376143870,29592049,382740636,928173946,913427823,378824356,434736962,14910100,609162599,954949855,547613079,672436860,136735194,592012357,319434436,936487938,74758540,655716703,431079800,25074647,310807184,600616085,223497135,384908221,401620180,250918782,63763380,412362426,958512209,941903727,838408387,32570081,842444367,258805329,20382997,335369157,840337056,788572685,863125298,934790333,999168694,68844124,857008303,857824860,48797412,568670590,99486127,17413746,485817491,890033118,545530197,712968237,932247843,157688188,248563181,347811279,609386350,438732276,282030187,124587605,630470127,453902209,392714533,910149686,6635204,861565695,323455929,69711607,831789236,992936820,428995323,656350347,753717044,28007109,303447694,296940302,116798105,173527802,665186050,258437651,790910137,991933796,817228884,636462771,269991927,746779027,424110266,34425389,699890465,332913508,389426304,620118516,62315091,768381800,288480875,422618667,612204754,566237086,300690020,576370635,877795535,86791427,292844023,848526189,75375825,137114126,351103153,844826490,594780965,21085488,270008381,817177773,34530276,873225548,477813160,834679627,709130464,613718879,233642887,260442059,727278502,245577337,96967654,262239625,564810052,754128515,131757319,703234080,265491480,959940221,403699864,433811200,580250451,289188711,382783134,91057065,127900959,663625752,148567402,919647835,879442284,286597822,85395546,225405721,647582027,169841590,770892834,102088978,846374229,491817505,190250902,175660702,488798846,422931688,583436289,554029681,97356660,390187478,98179225,142863020,13692329,677507862,6435541,42689595,850413912,800296380,677180272,807323114,847103310,448042816,874206164,123065255,894559862,73061306,537075223,572998584,321882901,454033297,2052489,331365434,975478485,63758720,31031667,293613910,248275063,434085693,628505793,135165651,969801883,195571695,939121701,211445163,423218450,15264023,915528896,796150655,708608752,169837642,507526394,513608222,857176044,51228990,867923624,815991917,714572536,740384167,675390141,37571474,257702414,626603897,624242324,143621020,955879228,320775505,628196240,985728023,826954929,834165336,275251261,367361683,827494741,497728372,240903387,118933400,811283606,339811870,506013119,525822938,101199817,829842907,471531998,689654450,135505086,459203836,507527360,245262234,619443734,245384529,930173217,515392401,262027844,171162755,75533323,479766044,212603065,255166034,746513188,69212527,242677643,477679830,342929616,18062275,35492604,778388300,830730628,774449364,713134588,897820265,8948985,861566664,253177568,938215750,703042633,442667937,274179389,538713735,272751086,26585804,398185084,766297598,178308568,948688720,333402137,167068773,98069347,902762806,475475181,813660334,274242164,910662500,56274373,517592720,27143157,682378421,804577780,822951821,325320065,44214267,511680524,273514209,860547191,392672688,815549243,281346877,796917207,44515563,667798424,141517582,217114233,624653411,393783039,551427481,868499465,827747595,919295557,248485522,402935120,386423196,732099781,494723488,542395053,382346261,957036004,93921264,803780782,407073092,570603648,614041971,882819664,679173544,705281557,122974294,361707443,497198841,746820702,430207482,188573407,578015223,577887473,754969378,316478045,624082389,745171124,820997863,827183381,791986936,266139088,788424202,261569952,644506021,78681443,632641948,663539107,49097432,677446282,684956117,710109073,209971784,365997678,613038703,196809611,67635391,611368268,173188865,549119267,419243951,453298955,566088049,457950573,785784890,23929829,621868223,313331624,484333931,488794875,557523,279318780,461519983,548458715,215896769,927642951,858670753,746100237,679494766,486081103,243089475,436007176,259772918,20788162,124103304,26139658,666391366,407158639,990766968,206237329,855734867,449589140,723971508,56478377,38681841,779859288,151377452,864668216,395657597,838996110,2498570,353446622,395967181,192785250,798048498,905033611,802855058,61229527,603262794,639393186,957748880,620483904,524755218,137745062,445962324,146490423,170449865,433949431,352463001,645888222,265433513,772837145,153324928,778075313,645516531,828969776,985932887,438613359,405691445,23591592,758031943,523492251,16843642,119331958,940116572,271014826,781444956,211221182,392615259,990898408,855569320,781972992,179522095,342927407,993019132,282170151,756161708,133221633,721905697,531956518,239677572,840470937,579668806,989870252,302544437,510079230,883693527,230771716,353325845,96899219,577736068,459871823,39938136,850180423,334443444,781890400,810456120,58485325,403949393,335084656,553960667,756067717,801062389,6325920,921402263,371242765,609483512,57425236,878245101,133081987,588492371,220043624,185381741,572540816,353471780,107612092,15899773,591210541,993989607,625592778,728839444,24317184,417050473,975003690,591518999,713349484,734289208,760701102,420615743,326264486,308361262,520175117,473748443,239851444,267520828,166370643,278885937,99260731,286348557,445135301,367695840,35572444,464551993,641359784,844431371,909587725,162227517,819712977,221461406,848111182,252333717,140384756,725683241,521126167,798430780,507065928,819123015,280467795,893435654,288136895,254701349,457136386,535973874,469162005,647317607,120318,475638011,365296730,187864589,709770139,593739849,917354549,305425277,348475187,261870110,534741536,167050534,359625826,521400141,896785440,727620794,613860888,930168958,227981000,579631744,408752319,269864989,107499628,565917349,332842906,872942650,57582624,384034541,639924105,823513916,531325887,189762584,202489661,41485507,46716642,18329321,733253589,179470869,253563091,818413245,136755010,646398211,157935129,253602525,407851607,179661587,415575779,786134497,475110334,129024868,896745876,384589045,574883891,306719403,510353001,782034272,957895795,30032533,697217275,697608162,892483064,322865562,578747016,804871161,824567306,130040221,575974207,653877023,198288975,434614393,542060626,417603512,481310274,108730820,817706236,918654519,199492053,36604479,611359128,973541436,261834821,706407406,463024274,285151783,52671386,434601391,599431278,642370981,905462225,501030873,126784142,811328805,539429804,395919086,320692905,978187901,638509211,549760786,992809942,26707693,553585272,698653735,748574616,787147519,250715538,446145511,269068647,307173253,70320932,515420086,191857660,114631613,995040535,917042061,239320496,312692840,609484904,586704151,120449880,214965447,597551280,750463378,68988211,666320692,346152493,46188014,575532596,81321208,358027539,702080166,701582943,479173461,690191292,478734064,273039787,350609092,695827354,81109302,485531760,923323743,457215663,428144995,45018790,103511005,950295661,662944396,951292320,117519939,968461625,313200839,201997895,161407402,853193476,878797758,910890969,354088176,391996341,256083851,158128203,867337311,185525607,570342523,844665199,953385255,396875361,183691626,641479325,600560125,70703086,166972501,252244542,223207846,665076047,337108704,765438557,660501323,388256581,537135786,899131036,11923692,160691433,38510666,169758912,882729739,587174735,5158211,122263956,510587659,6927142,187006109,483159940,556075364,958366792,719694518,526078695,769021464,504206250,954314397,522362015,700066903,783043311,897643046,150945705,912629039,786967947,225824341,51956382,431147666,733544996,840279494,879998140,492543203,661856170,32847056,10012184,300529345,119053925,558999439,317490747,934972241,152011153,328936516,188519945,26983750,61856822,589141921,964265855,89898403,751399524,434114931,865364970,555971959,10846639,204545457,337236425,89585300,561519869,430910131,123634999,693044791,182201602,467539947,960114853,228220361,776575897,554123960,651303691,11304799,522933523,916704716,282729799,519017006,993541611,977437957,411610585,813663462,171430900,74135779,349704302,383854543,733566761,760438377,557659310,214614119,35019381,247368387,220258959,67282633,848877242,802314144,926433055,966350626,794672922,117771002,523565720,369088164,957293937,78581215,416723054,653534420,883615395,371055678,576794107,236647144,533674282,496481591,1858288,901548087,207700358,84996898,913437482,75370388,790703438,884720994,287859359,912828995,272857508,546480395,386807234,773028264,312790349,667401923,270467970,405405375,911181749,452036813,73766945,595728085,231867476,477073965,861845142,997340667,562159463,791555177,933036962,919630617,991890122,533641508,111913788,347137837,770430685,966596215,789517761,15622591,878880933,838429723,87536533,107089871,958156581,317457945,470937298,658549520,120526017,398911736,495648158,962634974,683123276,233174638,593623029,59533463,555292373,916074943,715203445,308551417,132491457,606822484,242377876,721923700,279766898,677013424,67801523,392174584,760692157,616306868,830863895,568984885,885758057,646072871,389488213,936012736,825035475,694273067,609707201,549498832,769202902,80124465,619862295,941125442,466961056,752992179,617524395,939376758,416696347,272063925,916581207,467999185,330877532,97902217,456135207,588016342,318409197,955702828,169452209,372815601,953558177,173229027,160254603,756815397,126003671,816465337,211616926,870729289,541224173,802616614,54709015,715060157,954917809,783693485,240002319,415571143,961123860,432360387,308706712,570147447,971411368,218601449,245822791,933117531,538900362,789771776,778767732,881981565,2171709,91058936,349935,804923425,943907680,73735608,468730637,321088188,295225997,47626116,36940025,527621538,343337000,710544430,37101403,536356459,898041863,473031820,889408928,152729163,491844199,845213191,274236498,874356988,902372994,936190360,888703259,373734435,563851888,718212328,857856993,564684149,254268355,163235630,149113695,770328982,716736240,766985340,59903882,780538290,74479001,225646898,912993383,218081275,841303278,728186031,862678295,582317845,881655659,177687753,544693300,797152398,872117037,830570083,647237096,580406384,781605449,773554334,944175382,799099842,252136386,885675640,412256345,874467817,199323912,884450225,843859051,594796009,961664368,515624147,334235956,12361102,223189653,846897278,479520599,868462039,42034203,831006067,327404487,534987655,388396566,104041967,355441909,59894135,82707415,967046403,649875926,419474534,435077726,541363248,941242725,893560512,243281097,778738059,856009358,319002965,300200209,193521391,202981200,130253348,473288080,754261944,498561823,84827017,405566605,848841686,464233867,984137267,86639515,453927738,491775099,71232775,879986297,717437812,741982847,8062941,670427683,600259310,708058928,774072585,809949064,55477819,140225475,212521753,262100160,733846325,401219402,483657504,108712263,10503386,182953143,731632464,327131055,499937269,489486672,775729580,714559532,819764837,195210883,676757033,278092395,869717525,402793089,435118905,471251760,703343820,299747453,807816277,428123688,419448862,622822223,160391833,386639940,498754764,378918212,697589037,788662017,109506059,192531657,974326274,536312718,483465799,851114781,896831391,398436070,857930105,965616903,614521135,216697747,571146680,960896542,702901998,540602827,400361722,846965474,888631206,643751999,675541445,485751060,187694699,462202152,865310951,59781561,244877341,99274728,467335368,444790894,5567144,395532890,555006646,948895852,159908597,133669404,75352645,189885262,560462158,539850819,43170558,639071736,646367358,735268699,351500746,667241845,170085078,120377703,592565979,280065133,737931129,151968289,578735175,897264863,387075981,734597353,752095936,940743876,242230953,556826752,342725598,4721096,531862486,849129999,896392726,6342478,418043147,486035657,628950689,850180306,948994322,372092321,625238421,567363698,539196290,526296138,12706298,58515732,337109340,798470902,57252624,724778577,394680796,863457044,366176197,56221240,688009425,766140808,328079678,634580081,593373068,470828070,481159050,188456000,282129875,809618718,859464505,540454863,463207390,976563894,201715787,986165136,385500172,41380112,763885449,884268468,111264046,789814842,667363603,26322085,744351232,82473533,625533815,184145441,756955870,872372479,370709281,241455063,549664644,867143693,960969109,704506294,554781426,49778194,660749300,548171400,875039668,385779779,863526881,658267180,670232887,503867155,825889451,711768163,246621855,676599418,738841524,353931903,34105393,563003939,848458237,299079677,362381651,503946704,347220264,874876181,430842083,574587111,785038614,502458002,718553527,523664363,116419814,904631294,437231847,588589362,830651577,704416367,799007579,32067635,94219231,43872758,732775954,38817096,159901299,444817461,203789332,445315631,431255791,408220484,328531714,839346179,626508774,211971343,497067986,240376743,799096399,421208381,871106738,354581200,932452661,609008477,612119059,100188677,714532105,958342624,132325422,414544624,711658614,725417414,930413852,256083514,74897575,150446782,557746025,528359618,903726824,668027820,160652674,179226853,711606165,193773722,802605335,306521583,792619204,368353470,227863351,854154250,571549569,422895019,742258062,152094040,119397132,317332463,117582013,735871658,494764336,818751523,234393230,406150099,246569089,336742939,43506076,9848608,571727029,577549082,911096008,90465415,686417072,164839079,287734714,824779232,217469687,147010559,116243704,222287066,97823835,38981940,336614317,151510992,384744713,104335089,449977337,513161640,702387889,735265894,704002361,171917604,940488507,968348011,382830436,164914051,47841526,724144225,945113984,840478969,787684385,541087663,2905855,202057743,609027729,999730800,851678147,13833280,477974309,549363365,532201526,854327072,42111298,318201422,766125018,707557058,469213603,797107466,830378085,344619898,20856266,373012285,983722550,562064044,945137175,569025303,145290462,285168370,669771565,214065904,580794192,106154151,508691512,396537576,251198906,839639905,964155345,226630458,593651134,649821181,888177631,493774941,979513262,152381291,782835333,68216806,230994378,934878586,974279909,403163364,127324601,86418867,363622604,383688361,645331973,508705659,533696655,10005118,144276874,135846490,555696728,878428897,980338673,891800111,729663674,244541345,172035791,764141256,415277096,566102423,921843805,598473984,502763684,720363114,565433776,819966662,97639557,760982938,845841440,135175727,88936035,491090623,813435009,766261290,85176016,741676546,718231202,54211188,613079118,197663380,743496898,908651404,949835881,32909751,85044823,863779289,223737846,538724405,800244582,830670255,858194762,646462951,257004273,13025605,378403635,91688935,446488929,630545711,533862143,650537370,306778488,72406012,227908630,136997627,818789142,459251902,607777845,446396194,114885597,419576991,112482372,683674368,528115127,90541176,334503802,696006243,574751749,862224702,657911917,753165389,401856875,430631390,209680790,828915735,19086366,491859245,481053743,936468176,360301136,237221204,95057610,186504414,132218554,808207454,654657347,558429341,858606565,216541342,733592862,762973629,369481370,6324306,193557867,307481267,72225424,115824109,388535739,875803527,877902768,890236637,961380950,56558330,306036357,862509839,446155857,983730946,995260499,773020227,604508352,86976353,14001677,303729037,262045149,602562941,276385243,420893252,708705522,564929347,764734359,978457649,468899806,820456781,347103238,506657763,103865918,842439302,655053308,132762840,716998792,226754384,939345853,638063201,69962432,901469971,28071391,501138347,985039491,137866633,14051098,711230156,750481955,915644724,683137553,740611188,939755159,363040105,215961952,161658761,250781284,61823986,822252214,90423811,197391399,203172233,831252831,477714172,509616381,920839323,682317378,229437546,30422330,340084229,988062507,593694750,113769047,826290198,714956037,662675346,17757340,853203887,195882311,138838726,927416232,87118235,4341200,77895441,63210943,979217839,163082085,770992870,177243362,70630825,28712913,101158351,358005439,650220222,653879835,266542922,586678281,809682379,999369391,281451402,450684615,763810154,832141040,511771133,360815586,508028108,309226550,270168837,361000253,768713895,512406781,196670020,323201860,184942979,601365855,19137790,786617588,830160229,5022381,844627839,790242521,865197320,111782754,847272790,219433596,189783728,677102088,349070582,407493964,892515093,734711289,766600969,248443644,592680248,890056943,653289695,457456230,43479012,395363032,689201132,463611020,720827079,867972935,659549528,310690033,224484294,680012075,927650248,359224158,362134727,81877790,6815054,787970813,54132520,899821061,957075868,457803905,994306291,725421818,841698368,355514317,730016997,733903115,109996418,615475395,733849602,397240321,833493284,999810962,578383827,162040480,732334477,719071483,903323189,632592474,744270450,807135932,350525961,484851919,611494255,625171574,393109183,793287197,568146363,811795101,828431120,24815619,856507956,411678543,638642948,442490537,853887136,348219153,546343844,866814601,824839820,80467910,973461565,534603948,347702886,206812807,555201770,45932776,146318638,164709843,18342781,988207192,735848649,651160749,971575307,890738882,913672384,263375302,53215299,731455109,797466464,297591314,345760984,855650552,345687322,470088391,340629334,288229450,8818989,392781387,872535548,556472018,892028814,506173235,191595416,32805203,240147443,689011930,446750865,946111848,283180816,847948631,106757588,808798019,98725503,611138979,814125984,829867194,597771754,883993878,270661896,955150245,573880775,760301744,599284746,68902830,98426273,748617881,588927948,414993610,125616437,425727979,544164754,828151451,265575418,77391184,169371871,266895414,719968822,951371929,551814784,962004700,311408428,632840044,268544745,348652669,73204906,285554433,467442181,156469858,717254017,867963227,45600629,898238964,865193772,14234056,111851284,754291285,600691164,155520737,193171356,161757616,377698120,537997050,894240154,463915501,299499621,777557073,668404899,952249218,829645371,668729582,715850635,582890446,126921111,947266792,651332951,595868889,672037109,170032474,424332154,544483167,711681114,65863724,41043927,547614159,824348643,640140984,423635380,57789229,299215518,761486321,961403790,49995334,181509951,807294030,948723610,898750716,386916277,387609465,923212446,108539549,858376963,137577542,10041128,240252493,416176651,977206448,416062730,897854239,539570232,815097618,970902167,472086092,824133073,378017894,116013685,521337952,347423409,186219553,2672731,237214125,164817386,494128754,408385972,682490263,229375645,320483179,977738919,64918207,751643804,390727039,565173938,752882940,312693670,334128664,437691619,959371904,690549093,384911268,37769198,313218312,735327368,865607311,328963200,485959265,237256720,298136882,256432466,738015760,138776279,351147733,775904490,594695739,148720899,480613071,911896091,780914864,526778711,655584350,603344005,152776216,325711747,577373432,457554966,619247138,838235565,297923010,384806101,905569534,206638811,686734582,229246150,349944972,552137060,33268040,849867959,339517704,371319060,296766874,586112413,613218613,793845309,269093294,228213007,519383511,109049617,111233096,411401589,90167238,790774217,440834400,10282222,649403696,705138235,496039627,654506630,187408740,560375992,165662669,874737097,418967682,526677580,299780037,914504635,806894081,127048194,178466863,778264933,634910240,125805046,59021581,464540618,602340821,501915777,645994006,273883775,571739822,452246871,621470422,215880978,605810253,424364346,778675059,512120458,564173814,740852495,734979,913826247,816928255,854625991,91567632,766397120,563899092,72194112,603130118,768140955,922572757,525387278,549297349,744910600,350488832,293812736,483517644,68297164,289996484,568921045,494946629,899254236,988121680,16939479,477146586,529022029,808877631,255195475,464953194,211787757,910950025,509253967,261049824,819918065,805108560,96866729,719270792,823746217,990908510,872575411,776739651,236412794,379157703,178681375,863350710,637229057,364421795,958501759,474906222,93416458,757576931,692353928,65720221,533525431,968372271,372232274,28894149,283130376,914897182,675856315,493707306,4851512,127572903,684688957,834885973,202858390,27133126,83534539,633074308,639858018,814976301,445030019,222077622,506674014,638783245,758658646,695196529,455830785,502031298,426221388,176022553,182281360,685646697,769649791,415312776,357232799,820151709,14871740,97419160,291207176,383930063,872748970,329513752,899180528,814859293,244466821,37200173,189687928,182374609,108434949,613642580,666191221,686411773,909663382,523209093,540974132,616816474,374416684,570433819,568658225,464015205,2493915,539498767,277855521,106640490,170235390,833168690,252941064,499627644,311875344,603402434,303232621,703348106,164432629,213060330,425121548,267397950,570490869,484955758,233299368,693894349,396517130,758205155,911183562,273907710,303720724,708404775,630216646,746989138,790324962,328114443,119651626,504020558,420720593,341610613,450980626,471028072,276917983,208490011,272644317,229238480,45937922,903947527,360953056,683568795,731361533,297055273,132425725,745394836,841536742,641845478,639597758,657794935,100487195,60132671,380491646,226735480,933908500,278553355,493134792,716163966,684683843,96951533,589926379,834682082,868107249,333758803,972469559,357753297,147988249,156012254,247022930,645158713,655283276,214183096,738872732,534135258,380181043,515671964,807288564,783893707,106749038,509836999,763905058,351648150,478758310,653955933,694143297,951310405,626411157,60977503,358203194,854111819,697862020,808826516,173347159,172691581,728126663,678929657,694403152,415842944,514571277,209801547,199995791,362941867,857503663,70750322,986716586,533282920,375177208,230730821,49304473,769785497,322594474,965222751,427359002,961825669,56917650,514094444,894840021,235936298,5066562,537737400,166246998,525019801,539638845,453723276,526168086,901758004,742134835,459508062,430472946,472881606,150235067,424216246,323644603,705448611,48095770,929382194,130971811,399041126,191376243,745683471,781411493,174018490,932002126,444121426,217676149,230443947,586896524,216123837,392536487,134697473,757002259,126711098,115053,868139443,359270286,891072164,643172370,256389054,696250989,874976664,243912631,792719294,99709519,470584091,951434779,996288908,484579657,502024214,655574893,939266848,894899820,310971626,181761008,769697388,466222996,953276170,867908727,949809579,46938621,972020530,144546474,654147725,425954274,377709221,892875942,647689730,916098244,734356354,654274781,233615290,316232134,277689697,483978150,846424118,604304357,52009596,657443526,698891562,413823841,959911907,425218606,465379798,988519973,683291111,781401759,743010302,58305401,591032606,186318887,631235494,708800244,527875684,481448372,940581742,905375778,227015602,441243962,421028568,87934933,695746265,124852762,692351980,408924842,679093951,606352107,765422020,579044413,844690216,913165806,653940501,55402321,666337666,401746611,799418238,40032139,55138563,557569706,980602054,89706977,169375333,276048958,13114391,108640527,266087164,847545633,117451734,11391210,756116576,399313777,595189956,832237743,76220779,69716339,61911736,740965143,957590302,896645567,90953293,599581075,699778007,6451958,525024557,943472695,448431511,947499788,238960600,48063582,781102445,598501845,832142741,424912835,681603314,111991617,237575742,487835635,310487870,235438739,374600591,345901369,296547555,170364144,554608765,977899923,470270120,544438004,488832457,662799491,416700528,642491100,539052181,242908843,464007083,928515538,641724617,795379603,668076617,777836533,421386259,825050543,374130836,640140445,800390681,991921698,31997363,926751678,724784616,522113326,730057048,358744444,522077981,429130500,506514562,940983637,567258078,832874740,405565625,853763392,43686520,698285129,86089714,630724579,904627071,85464978,210943608,41397655,215638016,111338655,839696857,26251128,490434156,701564918,424964618,57141625,275895833,384382577,60395938,371782056,978297660,249358903,120235952,154369612,724934210,670376369,164022320,285097697,294943095,347593798,239068793,221374769,911888925,20810260,332106836,640930275,95822139,1571993,857472911,505560884,134575040,192300340,216800821,916722277,22697206,63092652,126932824,272898142,978278714,863336602,307257414,644789132,114949687,803123112,936806656,622383655,98645538,799440340,798235890,878331360,744176258,613194875,955177586,571424086,123261161,388334883,22161920,830208349,222479395,657022868,629997484,650837708,436611625,502956115,858342921,767141198,562043633,154452049,732399631,886837771,915392338,97463820,833755489,815743615,876690189,754387721,596934133,237758340,607116416,578004649,295812424,387351519,248063391,828957947,1550994,776291279,626926862,383173201,124062736,381941393,88375767,628349375,228404250,810446242,339874162,288674757,30274780,573959479,311136749,649514199,510522767,116464740,700517948,173495814,60711956,73649675,466086525,713505871,50245889,761309518,896494345,205290016,398301842,541729999,639678325,539101654,841894603,789326330,620573150,95480033,425444394,464780613,14567395,567446450,358955387,754997130,344779860,994686926,479105276,781249480,552550701,541023558,559550067,186215723,845108855,585371176,346453600,622647901,291909496,304646781,546342238,403462827,567770394,892012882,671807324,610996877,628356398,500972723,251721401,757622414,578744132,41566093,9568131,18352636,88567796,849312380,474459981,855209670,376845396,617717670,461377953,898393064,677685131,853714850,889087342,691111191,652897809,9629863,846284216,250013301,681831615,146216915,74441364,44783228,149685860,982578065,155567299,190022990,850704534,836388533,597196207,756593216,841175392,687798653,739389988,734568027,119179462,625144506,848311679,407165036,612966752,222443754,717903465,858963226,779095569,29576749,23450977,396596171,330689083,296585309,894198556,268808083,79031758,463746971,785735619,453078891,572862374,948022947,326894415,504270119,310073495,27267677,508616153,187970481,105307744,369310499,834261881,569395278,416503699,322101103,145496130,33195306,301653691,57948658,523720429,874749261,249140430,117623766,807109538,427178967,162606081,378210922,169888597,939799642,117199998,452904852,122981576,73820623,197142045,278056391,236750944,190856587,124521692,383483540,870736136,265390031,902240416,437596301,32132324,852149148,372407666,928227112,715295008,55130584,276247578,606487756,108154824,994727654,108895351,766250899,412822602,76179954,847030443,341593517,972216081,625283404,124182160,125781969,770409923,883526511,573419987,786431992,476181233,242298802,993917602,63128982,201099333,972419967,498453655,434307071,594093257,325199559,764372691,970931812,218432404,455107601,469627287,343738169,721363964,274813908,342867048,659546741,229858823,630855536,227482130,191487859,899395453,46299454,669641858,923792841,655108394,664367402,602526320,753894114,475465625,298622488,710297840,812077387,536543915,503427692,265335817,544833914,344781073,335608224,253432638,514317276,558200155,290148653,143565795,332531400,92969872,299839582,699073611,184200003,916822299,383203031,311209714,258914924,839187152,711744075,651214908,713550902,441877562,420316239,907821188,271030378,804524425,128415226,858498825,152613717,11512781,939130778,692488873,316668234,274751254,521722106,317949444,320029798,507956819,977129996,298083709,108994110,684317112,380056639,144209675,15342600,447044468,765423875,48236296,174826807,658821509,764772643,889994168,309392498,223069150,287830877,430174418,44103118,27519562,984923190,684730172,854503209,419778214,624666155,270862172,712587673,120689347,452053366,333894647,102761822,121739403,70021915,902051317,462099698,998048893,125394992,68415845,77675755,103172688,335872898,635883541,733654249,160769416,344575352,131401880,506025979,748148989,339407135,17650055,158931775,98483801,230211253,362670497,907102110,30027368,422739660,865655468,438526248,857875444,917146138,405463502,934653188,948280556,906147263,467743883,821038711,126953928,711335709,795905877,11738083,560510584,77624907,280870332,97316667,568125745,291531802,842517797,670786251,148039660,662838808,644807830,307005460,905002073,102117,979690884,121507443,535874430,915927883,783875096,772908659,150258119,554097668,771162127,795120707,907263678,377352943,512206045,802229876,613970044,922132088,959884541,195919579,234957261,756346462,86922170,630496699,980744464,887628692,135489759,262207956,108756335,402008450,491626817,200622718,47062561,384948491,583912654,497365817,699099633,32596187,26432515,216004672,551022481,565280290,579221053,673751391,482116187,35082062,704514749,87260487,197460734,722916692,61113360,340664545,809561966,741967525,314239966,780821427,148376317,577942357,223400499,14676614,399985208,186444345,833550255,923992473,210554629,296822347,223343935,473803445,264649424,211651339,330608627,806313703,890351729,833091865,792908217,502817965,289862184,871358122,185285186,356021130,536996290,274244797,387175493,22257786,421680652,516474669,945147399,648356888,833214657,589949452,100575166,933309403,481348456,101423446,80467341,705000864,445830455,496810453,442005704,222394244,409126554,536927672,444532098,698708316,322794606,42789316,933549386,544181836,835864049,946031837,707996345,587933135,13404017,817236937,454279812,873845621,631728400,450812793,243815532,620311627,788863482,824227245,501932579,980905275,537728820,334102732,295727372,377406913,54121080,177432473,779935932,836740143,337962597,497632721,929191435,382555045,459554767,211282907,811017252,905404774,28751095,612862368,702008322,964396433,583590436,412777007,793180054,230081580,943387628,480598207,623083957,450770058,684873961,992130610,441834380,592039282,467947766,157846133,462752014,221814503,837618991,123993926,82846209,386751184,985446222,69681307,142821884,705821086,734535115,302716064,918581344,597589854,979744541,780801590,151258415,243034333,239523754,313413537,535062165,987610145,279388201,413402183,105118646,994678408,595518022,893264470,7417830,29797095,845804301,496751681,572463388,589587821,673241557,21681909,527075932,735298391,291486978,153414423,955731850,394656414,504455013,602586638,637419903,552072418,744786479,182079054,516090542,55491040,860505264,265298337,910170102,148606277,550711,607449069,627439041,711229389,400867143,424323405,114257153,72529876,511538404,211256457,657732567,485383523,547772476,547358131,163132628,205849393,65393657,328404506,304144094,823318138,212474880,75012680,128569206,60448465,628809620,742831879,54377260,229268320,508761910,997417432,532507571,546257816,775654435,142993702,249584721,949102043,575853896,699315409,142763379,798850650,689353203,882075789,503968858,92439900,955548076,231713117,465665225,466065889,393895450,640623601,98743282,269656946,536613385,504555471,339593568,386667000,18716008,183050910,754388904,403854704,220374593,835351990,917362804,93211943,592881293,850174752,507600220,118861554,611403710,548850607,118153251,687864045,686090623,609436203,159582640,43355598,411966569,252462984,427929900,661444374,906160928,187694341,631642231,248270882,872526568,31187265,606118115,665042027,445286874,851674831,584286173,863563866,855450125,869440466,739538267,928009841,46440357,502663000,430070375,192526732,31874965,903062980,382954155,99090212,996881890,990785198,903604446,698467356,689333110,700654846,55985401,938640394,232949478,536865646,298638779,365760104,493984238,187048744,772564891,221382283,26186949,497620193,956684631,847688900,794356533,433613864,927520671,529879643,616219167,226237514,275097770,444190359,699467156,114473728,597862221,365473972,852565186,217690366,951917084,334048142,379477186,27997477,471780069,298482411,861703550,880374312,713684835,260106274,427812218,544283034,863526030,143727961,425242482,421171099,579058349,491153067,753284777,843699358,916524733,221081765,367418885,534403386,262407867,543578996,80818438,70951183,678909670,468795248,557483631,468769780,150177164,677608207,554731952,271257442,563831344,112369539,127008074,587603809,200603435,701198375,26557324,474202748,984144946,255756859,749146472,377941006,605371998,593708874,917524006,371614878,743622904,511807870,835668962,358792619,185324611,581942111,618806695,456858673,411154485,701154380,575569289,443661543,460171001,87549866,981433104,800410752,185573811,813217933,232721518,422708343,538107507,217611337,610048458,987093930,232072260,82754929,712384275,2786805,783219078,698644674,573266768,85958837,308946455,548828271,287490875,498974622,962049388,12874718,861300395,788513573,914025665,84575144,563249867,507032375,600255876,376751574,105694271,724386688,759500505,278236706,99261945,695291043,70200538,436152179,430745886,778174756,737530107,246662136,429761447,791600337,777754281,468862342,759190538,128049729,734583859,971610497,583250102,48232392,552219440,839160534,862049099,65657432,479461291,767376095,760807519,127344486,198325667,630831439,796300787,381056694,102915665,362444112,52718319,60112500,628290008,387598945,326938880,371633937,442672959,14924415,830002670,5402449,479001138,126893908,152933587,653119137,396189589,32587858,147497141,622125894,971081348,160558586,398991125,238809427,451575568,975578324,466056822,212132492,803331093,172203591,744840716,291778247,386046365,236414231,838046457,756067586,348862889,108431964,637330101,915570232,204930104,483588234,660881673,833161033,923167737,823748946,881610956,298385138,569150964,284413680,750628659,977144252,441828026,734662739,657527458,95148126,470385839,965726511,213638782,348560487,80161183,281421848,797136782,801589810,364802334,867239737,167549135,348455648,612588607,602222808,269754597,82021429,860912224,540358324,533848707,1663625,943789921,994103700,761923860,414763804,609404966,445716060,50521175,437672112,93080132,756852947,153650599,187332027,181371707,822722155,71926247,68227547,716404947,561875674,373443029,363785794,178282051,597078228,302442205,792967657,902922246,815355688,101052735,64451464,206271470,467239626,27572433,730045697,789132546,158542177,452195896,489527629,185785094,560819405,451849829,40198825,803879645,93282749,804321461,93831396,274517867,705471621,102972677,387281324,842262796,178665010,336853449,969928579,460034963,263791127,454786864,612544492,365176543,469927936,594215866,995536217,885063704,211530428,473415159,37147314,258307045,661641928,288126494,783407021,996852781,911217928,489652823,51017878,908904759,51986151,803672625,857437564,496137798,30149546,903658032,172784717,295499493,915433889,150243570,717051074,990201906,9132803,394801138,685561079,692166514,952374907,498049150,107253974,894845502,397224391,492403405,812638217,30786333,802178024,451338840,415147449,983324397,385624237,243498995,127672590,502375938,664518170,48467405,389113596,4474627,157932724,177464993,866636716,950245277,263041178,656402356,605641331,495544485,116388505,307287636,708550557,906548173,411887450,913647044,798471602,286061659,976456296,108784299,18696377,762880782,462418643,204245298,971613961,142291277,906960429,548372594,690489728,853749016,242543477,32289461,874164142,70452467,604089835,1341973,964185035,917166572,550196171,761594272,620566452,61035675,260018754,931420600,499625628,259790475,9693130,982468431,317378819,325141551,777671027,18064195,200113735,703945737,448211270,229330282,636535269,2492629,95087756,84143037,54211884,843512513,755078917,239593831,843906871,145422074,26616642,117556511,335550359,53340257,188897110,226789277,772597829,952914736,553000377,308693149,819232713,504158979,672694087,129020052,913618956,31087628,12091558,916697904,449193493,114122927,209367711,647579183,182477319,789253944,927297270,165279368,420889228,888790417,21784247,115343255,973993941,727060753,850063060,269751479,95425835,964065018,523282656,405589149,772765391,340302667,890136265,283292665,546698202,989559670,737137916,923147199,183957401,192978258,189434419,759529449,174218234,164810975,606912945,459223749,456388180,412049780,789934571,327206118,666789787,350906399,631172824,641243294,123746251,70932494,841873730,195630248,861839883,984103063,685107299,822614627,866095524,631094696,961022913,590480772,294304843,646241887,116934945,609049700,20725361,227602979,805091251,268654597,785876780,472409626,536808849,754691167,194356215,107171381,2880023,456832705,280261077,831019323,997828482,759094429,654088655,470097007,841700280,19543394,933463141,35492276,772106970,745924732,477628475,204059872,709574458,109180162,455436527,113527887,589753855,64090089,867812833,921233803,863945408,455217386,349456195,471700479,210792697,977432664,337214254,79218757,446340576,716306479,170145914,406086831,829303634,867615331,506838418,416230002,611868420,772295133,922751639,981419135,44842464,43987051,96654235,942411568,329108060,6316197,995583793,736108837,452555357,327056104,651881158,562595976,86648982,366811158,209031286,407124425,122013472,824528362,984821247,683693460,73008278,384563378,171043810,736283913,292396415,339032515,199981852,752300446,4732387,230335129,657187462,574812300,310686240,67631309,300882348,157014510,548920462,238945636,198833601,970375609,64484990,836846530,287040875,89122495,639708554,364189694,398363045,299520774,648883862,761466178,99196379,151178488,767483132,881560900,785403252,630620891,354131885,992104494,714228281,349166385,868010963,367587778,126621826,179132663,468084160,111258767,127956917,352284708,296197177,431848960,959074166,878132058,103194743,475244318,469846826,166468299,816791008,19103245,423703346,845831112,876171765,402203026,70797383,376209559,554300052,476570954,208779860,410781991,959649652,498149855,743274323,608556278,67642028,288029635,593389850,645467604,139145958,441673867,691269098,662155350,207027061,93805382,519000743,212417602,528324909,479352134,323074134,433029390,81464130,698502328,653460537,657964318,788613723,211316966,697568450,384932735,513262351,933635291,698793933,74109858,351107727,458465006,64009026,619700931,638372753,812659218,417724236,311272381,356175554,855770544,842714713,293945836,404135702,875881088,561918389,543056012,552974044,447766610,237437930,328714154,325467462,33867673,615839298,471891443,989410506,787738187,49307100,475915086,703457969,153074060,32272054,321941683,997657072,670370406,572670962,349024146,414784721,941606646,883027884,814560973,326659499,691864088,556008031,336978785,962602386,839382890,494233291,909769539,351258565,240698854,511256941,353898293,163089633,269788296,577693874,712027283,706362795,440854514,783894872,690477947,18436334,146052250,646257436,348097726,983349089,483747684,563044737,450755163,855282076,686080119,538999184,566069905,730215846,19776543,732743795,113950847,709310298,767459128,623674767,192803424,311828444,633332532,465535625,139734057,783507155,991084923,404626513,493811622,50729136,147959457,300005264,627509132,991984257,43285289,123408021,339002812,6442330,40168824,995610208,823156152,137327698,674334257,568965138,468993588,679442740,538305224,492549043,787182647,319239553,350901919,787968536,357226434,331749326,70564748,771681235,410663800,896943772,646544713,874137591,216188898,343984111,773084220,726745540,398067119,199468967,585868074,25961489,500695429,989461266,121573285,790179037,213010435,521766615,86547792,894909729,489385449,170643496,35847729,19320805,492855592,743207707,592702471,319734901,128221613,525339826,269199749,686641834,170585131,53263260,909790347,322079170,887766056,566474497,899610144,594299463,65488099,253760287,255957005,408370103,643606868,184063258,349314977,717521204,775544013,691344900,225752669,182398353,128411811,164375273,487393422,93785379,489806204,89570248,846472334,831539871,645020385,53130637,241009500,661512133,927025869,14791444,657782639,499786962,961947570,905695879,889253410,407370681,623844946,890810903,253539852,748963926,119034505,864159548,750805705,689724202,450116139,818704301,479718014,112504023,286253109,123733959,378218282,393610880,176410741,70302748,463436044,944913479,185758270,373724659,918662294,400349959,641567297,959395052,169489353,139799116,789276735,521574740,787901250,544148090,366881168,924007307,724620443,144061441,589906820,467678243,636782546,549990135,599887231,300700479,829091243,733818773,201401033,7244160,11553420,662927308,500263678,905054490,783200036,911904073,200784470,950224498,694891057,623521635,105475825,967106642,994515796,985241658,925519025,798517936,825056698,259899342,322489882,511787252,383107365,941260153,382972505,962814236,608756627,926571706,286495217,876790071,199533558,144835798,462661283,156096027,241955116,441411820,354235452,753245641,757497145,724591365,362072743,446059002,840839407,121158062,704842565,895178492,339384571,131622645,887036686,663783842,874125293,965362061,387827664,812435164,131760913,642646565,493401004,612136242,771900662,182569964,670445404,149858458,532524168,881434921,631164701,728408894,129383526,413081944,59372567,102679410,926904487,672143526,817721021,361016125,792639577,337389253,600717499,189200865,595521319,616380678,165360987,198787050,504677557,541145199,604760555,516406898,220853071,667870934,661335854,118942040,338991649,136148740,795010415,151262017,93304104,134821879,253653887,256861757,675331235,597314108,275989695,329674755,9554267,54025976,940680952,34770037,320072902,993938943,89527372,234497428,598747178,98639246,658373476,353399588,964723799,44392584,726330607,804391587,77644147,91810584,716265710,208985950,956459216,125352141,39565889,570790418,999508368,214983911,506148375,1830495,510862771,613604370,893443212,379497383,93803389,899913808,381283022,709513887,194619626,329991324,78526345,950439664,905949153,313288224,164241010,463315704,91247292,715772595,701723929,546570225,470361048,963014288,85419086,354057375,438976318,454365080,86857882,730205728,865422924,294812948,844451220,154000613,729459795,297949160,917459813,131316783,528022606,759982883,711532674,400454218,277840994,828948352,863507030,233377297,997831067,895136436,803073800,535758296,819127355,425722882,37825977,456946713,313487464,942231049,667335359,823958951,630662182,268322708,757236929,334097918,790977093,374484815,712338406,443126062,47550849,34885942,420771583,389652981,928033691,568641930,218793859,769859899,582018664,656773374,861095043,494943623,747769398,788793474,797221580,740187084,800424962,43411955,831068666,987480050,851862503,324652663,505481015,501412158,526878656,585903468,636585410,869150159,122285485,391014296,323462361,648186533,437562337,830706630,633730711,487384309,282637221,414144823,719628351,423708291,707665418,944231503,776275213,5727132,903728392,413125398,690182629,803602248,333282596,11367105,244462650,764914559,609785263,497636887,201501716,165570983,206973115,983356136,525217798,340640558,27839764,551539338,42859006,128624748,902688434,250173152,119745670,562177080,66379953,252345987,156984854,765318750,608433502,459621515,227103320,876284005,761254141,427165774,92636386,913419165,769445800,4737033,220368607,165159109,948149168,194673369,791747464,595191901,494803458,575968485,897326320,485961647,303177652,435169151,961105254,473893641,786488664,327961475,199911801,70313714,134366967,383977927,451794604,317289429,68871036,585726630,100701868,441223547,194415462,518852541,7732306,292557169,667841823,17061579,439986594,716555218,256931101,324700067,377523696,865999332,666319565,85077601,566605840,436284767,731359232,319619808,721694381,315100832,680606983,148253136,344015631,255935660,135090679,751255722,208813107,447032024,943753744,317456000,39261297,121812475,519119517,920515611,619900050,881870880,496976303,649665773,393296258,347997265,301661894,150030699,519011061,885786132,447053672,965734572,32590280,632044402,40853537,597414551,496382433,861641306,362585790,770878143,330910457,608891230,271793534,260065285,749820792,947792540,214599342,466207845,495644254,48653050,325558804,884726568,42048855,14920080,796880940,380680947,658726321,563698445,387112943,855377395,619788393,71946350,258031921,452196951,928121771,622026369,347389218,725211679,756516438,482376879,902727364,282704559,55306934,517619852,836073444,317959502,905928742,291885742,226974811,780889766,217520909,135615153,997345511,705178997,4240295,62781769,783213975,57209856,360543485,292519030,334195795,976518151,506598610,849151253,60240374,348258984,515371581,800784023,24037111,602096834,709240161,307709798,650217832,13430132,761548158,717975634,999443620,637853664,625095127,454376941,637440609,287586763,334647973,980645610,422494714,626290215,346481503,643293753,730766914,608893154,929852117,660566422,48426236,306885361,255310417,920057578,385613169,155955548,139247653,980976702,367478384,399574776,278967053,466060271,261359021,871488412,553405687,871266891,615631311,87822237,822101501,792200950,118906384,594841654,939431791,65195004,848063644,405439026,986006204,637145860,920845304,483484701,159691455,894601000,539803375,204400391,357818744,61458778,453772285,509821462,163741611,204105020,904871383,227797265,49068354,239623486,543453994,902827596,214368868,534559344,717186469,473772708,342743418,105787933,573262939,100956792,90594381,639253991,399560554,763740700,951852462,606132629,140244965,401034041,819290077,747828409,99414241,334657969,650313812,901796010,805822583,8291026,930173250,86660904,598274135,741217387,360511327,163975600,530233829,784456925,225893227,871515415,781947096,185932030,749559795,639393243,717969245,26987564,999368190,140600628,473643487,377185764,779976882,686544156,55056651,954295305,760289446,30137113,869413687,683140231,920314600,639744752,548602345,345139341,558838483,382843061,220279155,840132385,656809855,998155886,809036415,372746251,672315731,238832869,769981208,868980441,3964372,876183182,69313736,864460811,845777556,95636063,305026418,77488030,198976519,591871301,328410898,539910226,498800524,977501391,305560979,413454649,806793662,308893296,812231008,561346538,888596620,674849160,831318399,309749266,146842613,85584801,832594969,628849979,280354748,412851900,257151579,934117154,556655878,458473368,753739473,201792188,868048164,43536808,423197373,772193444,898126744,726933234,260156046,315198333,382717065,633196870,552681771,985251576,698468686,393598031,416481180,654908337,453975102,264915130,355337780,473696724,769999711,246001679,107580871,242079551,1272129,834023017,442737321,320710013,222639325,178595053,99127957,391285722,776940988,940699372,884069994,966590688,950421472,155221452,773669840,118931447,242691820,248786395,672770470,787954565,51077013,802129078,886859711,176052542,675793993,119469312,400711049,288207980,317733333,689233408,570166904,108477116,304851076,667253862,759748576,245299192,657291825,805467083,669054868,81641053,623612928,847975179,650066018,106940312,727793810,533336539,333547088,629783912,888343521,507107968,384396453,497563114,708338395,262066367,20427459,99094704,774796182,205780778,934622725,366471655,353625590,883484224,152471479,775646384,923614331,459177118,368071042,637570408,35672561,51110147,397304920,304223916,216289100,56698398,728921564,930819362,523406059,928256513,397919304,67449908,590513425,499395881,537396649,727085587,947712556,55437744,991509230,903979098,459484847,919364549,335621908,406656205,153844077,282510536,714868578,703115129,127160406,501666036,780306807,655654022,589076451,167464093,484984905,459239244,845012639,10402988,695259675,253309331,146643427,236467539,46968156,79973324,764826659,509530489,381662960,417661553,282384446,191192903,706451423,568731543,594003873,128817606,986449483,794351301,977764100,274327776,939495312,863528059,438154536,156246229,917579284,804932037,199616525,737640750,988798782,472724472,967867814,116693786,356246460,603026390,322089185,359331761,267724635,768996912,200668538,563928225,622037151,105505973,941365443,912542580,172158711,654452275,819436926,385688339,894889043,695387219,473488116,979632077,522604533,574114548,29787800,938007984,15317607,45997433,193034224,581551815,353543020,965722020,669216545,607629366,966016416,561855598,310376809,475443042,81299601,213600371,542790812,476768449,12823542,972224798,606350844,231817187,159195073,30861869,862775512,119541047,972057392,622492715,770295861,809926379,797819739,961632593,238954227,659497680,146868662,579702500,59154041,173375436,481675429,416478138,785029441,33006471,867714383,567523569,150595408,879548633,947719531,510643047,572327714,775246930,85093749,36598201,821658628,159713297,989924650,982922473,622454946,644840667,36257877,40669088,333995089,699619925,931960470,936986607,878916429,463105969,298952159,629988994,518990958,370077195,180474042,425494600,523369608,34251923,102298117,477988840,696955262,559178320,863300296,552108156,223890319,203413201,842210914,730957504,956664642,893908120,697802272,621980562,836446058,559888488,694099383,860947541,230241667,338144420,226610846,306040113,833870836,138585956,232778950,916826726,121536612,333899767,356693083,12737312,845385229,488673485,435644630,376303353,523247955,922163663,954264428,906106591,847821630,765288684,690068939,352313403,222701697,988346977,562927392,683761500,290525432,645726461,40679495,463618594,232044563,562261499,591542643,480216817,603505580,840587235,236337802,186764883,335536337,113072064,604468985,40058034,870663440,81733071,486802668,384890701,443764963,677241050,56249540,471884446,462646481,620174218,349728049,441532578,309070380,58268238,529633260,338261973,63565086,154480063,71638770,838098231,201042539,585459785,302741145,969637667,626242866,691915447,514708332,465606153,468561114,740558380,52102678,53644179,356462146,58253716,918644374,115722343,929154863,656212177,525975939,133527040,453656070,84097424,556903574,926610626,564499236,715513991,49114183,603484514,928122885,210556678,485338726,623149659,490713745,86867867,394883865,418334673,667101544,41794986,673632058,707617170,763347616,793572168,406151962,818883741,964923422,537388663,702255211,800766116,101278506,989795625,958854967,418549854,640375469,104978782,425327609,203528494,327022161,527987114,326735567,15593794,791227673,241150071,330012733,730738620,832854377,830204392,724967690,16471897,616011050,687336165,713200655,165167995,182133124,176568493,431692960,321783101,856003309,943327501,144167625,646894869,325142180,741185248,42026832,180112960,143296012,17983380,459333438,321484168,886740663,661296443,475503403,375620223,317388745,984231132,372129810,725660832,74883177,514462654,933618258,239436472,399926409,659664229,587133613,421428672,82123937,405392910,485416338,245733506,155749169,518347950,889988349,750862373,235658914,487873352,936301477,673367039,3744476,312448868,575560935,929025991,686529101,764045348,870063339,243701947,46149716,770399883,148052133,573613111,541756363,188982830,467492118,922095873,158994555,148457074,711375750,508437527,280039718,618269476,699546541,767671431,636885237,874666321,256861491,184738688,517813397,770074545,129319528,658153434,735208317,848378474,545882322,478916031,791056633,264833321,839639649,166397837,79154968,874917251,340229964,914971082,437734844,70763438,376809198,217336168,342635024,600313809,407257561,450739080,229851494,394565457,292921821,73201143,461468105,20683034,185391034,796553397,191691824,889569223,348537467,666887274,740984656,496420487,946218219,279943961,337847257,642716785,938012261,947126638,293472223,6853201,500024576,557579617,774194436,341604837,64522216,424998991,911056852,835800809,385190970,101341835,429501012,714712746,413945031,656836328,670421116,855323592,527296686,531902983,726583011,752132134,787387869,113726720,65773883,239452044,628963805,444746046,757326595,655429142,147917151,940104273,782292889,792778335,182516282,245337938,639088844,511078281,691871691,927493999,763299362,511799661,577520650,478824143,961247666,108758482,922693704,318430650,23774529,14815898,619877237,939573988,737027925,490883271,76661621,974339810,936844288,149021067,551615295,283265813,371474154,580838524,251565705,861666706,76276418,595278132,108767054,122505759,657374792,502290358,165108036,306541638,370991590,844011315,440205473,659603378,565477491,866000968,443037598,42640126,943213111,343185305,62098379,749803486,398964403,563798679,127844554,630978417,814142843,116534069,301032146,606037151,262053961,312409123,662094667,680595509,291230393,411224718,30002813,832844214,779951967,86189698,982418104,485914651,200879493,380516057,970160877,561665144,392718010,433336958,153489251,279216939,372050869,854933703,184869664,179082821,864187943,167333047,679171604,342168795,46305694,133766843,318474505,758299548,701064981,15351785,395766713,557538075,760540930,91091692,750637706,663709669,580128284,920002310,112528280,725981303,207624290,17866602,848919947,276677938,361948481,96302837,256742278,586381567,618390516,890808562,874258535,521050272,542692344,161127638,149277684,225925476,71592079,86224677,606354662,1359784,60931459,467806574,334659208,960376185,60032566,390091012,369043539,805722202,476628711,941673649,268428342,224463005,169907601,656392558,906229539,646334981,70270720,328364099,639605063,280212543,912467907,324971838,153777957,913630477,560870849,240298894,814330379,205383282,641760334,363722593,69837834,172809878,446316780,772027092,708344159,864374269,195774083,14505393,690945756,633223151,61096477,881734101,90905653,684675302,786390648,907272451,624122103,502934019,281543411,240041796,398457215,827096929,273615457,408189042,252327484,806503217,78483397,466584192,654048051,538303266,407582589,352089919,299052818,252819414,762216813,68565372,794341730,463962909,513562642,560169752,540083927,501673845,650225326,317909362,976440511,292627398,43854890,417987478,351729685,572199574,119384876,303784656,3935687,964624063,200254569,391969730,388526743,582110362,473479844,132116668,826093618,842587090,230752332,540618618,358167451,563259802,694737016,648099449,34532892,458514169,694532678,65506741,962059417,344900593,873023359,89458129,288020641,955084221,336229224,594034855,943529529,736010414,281170394,649947636,689958371,342664110,448302606,638913052,829788528,128805900,592264316,708042352,634957532,295369056,622167982,215371606,39806602,869494830,391114782,455520735,773342829,262394886,678038231,661551635,479873124,828333087,214582282,189069815,318044445,801014194,284082800,232415889,151344286,725060191,447922746,622685782,115748661,810224392,291122373,647319031,631065926,918713579,105117575,542034560,793334581,507121527,260043033,884862149,761128536,821163402,737154072,644298962,467149284,603670043,863443470,223332213,557491260,737622069,86666155,820459866,492756342,656456410,500238244,75554053,263295506,218216621,878217215,257860507,88262273,492254399,387675100,891040540,897963412,333082867,265836381,194407491,744637434,391294459,809353264,762780382,64832258,338062011,470040203,4009213,500631374,741243312,779509557,492357834,542936970,625794478,939845814,143867823,812663566,397563416,924826282,620632838,939874596,180562159,964747116,488489155,199164773,469186575,470353995,441514559,12830066,642945923,794258648,217962374,689242968,551401957,760249867,152138324,254341133,189830026,920524378,407153927,491301312,646849770,136923764,33143185,769157792,44265676,938589327,805688306,701642260,261710881,194176067,285673952,767817426,456395010,684454009,355282491,884650312,859569066,141914772,946025030,812944244,372994397,634983976,780726202,555178852,400664130,389485698,5482789,263801809,972699879,356000619,899476265,291278987,696809429,364651264,855787300,484542862,220769114,801751221,511451930,578435259,596614547,702613380,985081229,925575646,662252739,655036117,778635914,927359272,25425434,377830153,352625260,729747268,687501785,717980991,874871791,338258900,205635790,836777528,975857914,769077205,638539459,122739054,874683377,102304544,604308856,597344041,84287776,493618054,558562767,648026090,561866199,201553505,85441767,672423598,90179469,307931298,325434873,731484491,459703868,435705316,784387915,545384518,776901476,424386203,371327346,31288142,25442480,900002095,784068122,147622697,21647647,59738181,112419068,590967575,888862589,341843497,886067466,411962846,215061741,715672008,237415990,9746881,289913999,241731244,852829064,96528216,603347096,14398554,385304577,53467603,30243285,646858473,544133241,362197002,331159497,655434355,736429192,248767923,697636101,652061753,723623541,114422792,354614467,389767792,975330147,733094550,892654737,481748809,355412917,95602166,74014736,555150720,452660572,772002207,63700638,921619045,878295211,990918787,238355255,95385251,638571946,501951889,750743054,699396472,849078591,190353747,77790864,977343510,936871772,295038760,746967104,839523183,935166161,790536266,189029506,278861001,356488416,995875300,870268076,541535151,431731831,221984490,746722906,213622200,76910324,530209127,418458240,751192568,889467789,616108636,95732237,406260104,966453697,287936378,482790935,27734855,517986404,999283099,669811582,760262942,907836269,970556743,312915236,444065497,865462304,843423798,89161073,682551540,204877621,913124916,588333694,297403731,610902349,355793447,182496368,286272652,194329039,438892959,348860635,880618569,626640320,413513638,751359068,956839421,738328573,574271021,266008860,383149682,197312503,688149067,290384672,915899594,130427330,282742505,886506149,201488098,167895609,669746834,897637956,570960924,785486924,386775320,128603468,83793700,705911929,998276116,128670396,543349108,670732386,151829741,43193976,129262986,774689216,895587689,711536001,762108862,909677500,949522973,702351275,424198719,396807064,197710589,513897924,985299046,64769814,31974864,947869199,22933592,457267985,334976277,652550636,49878909,607444129,443815243,864727468,719389792,858151049,257895499,27060872,617814819,350188941,663640429,588479712,699357870,336398142,455129307,510438721,876717083,162200637,152705495,184585887,900579906,66251441,36504593,815561438,580587588,362417268,532994023,676661094,585052934,619800981,829126911,553386709,466201807,970129910,462548233,283688667,193323320,635302287,437753627,918578845,890626061,536007441,988831289,891558528,559405764,119020836,525450748,933869879,927995150,377746070,858628370,613509911,626411997,830417021,52130853,590509436,783583442,925053370,887542279,449282987,675607039,632805285,626138232,169071531,831329039,243431695,971049457,677630232,747911043,19729834,252608176,311275805,963375483,70055219,668376734,738948060,451069846,997998233,285308450,12889275,639494014,141865579,938034205,980199125,603347856,680693939,749524387,508218632,67509512,159772484,982086714,619375349,690368426,663871475,248260384,233397250,599875892,570612429,260512743,295083251,585817685,476100019,689149558,289284961,565587276,30245563,136223304,737246297,802455624,716909424,383473777,895918845,828336780,371878223,279109048,652140009,912671880,5051642,635291450,434052018,173173438,982316298,440193070,648082298,351420879,827536354,52031930,375214524,625593681,898479373,390713088,680824567,261290067,416052793,954841593,402161974,475076450,176224775,583037519,266115318,666634439,543253264,976032253,462713264,281649847,878723115,748469233,87087922,229802340,34608902,480220675,778423760,870014672,393045653,839268220,399520508,286554939,447866797,693279533,514306660,162363220,47117927,82037214,990604358,367097064,814694672,835465473,268729872,791568160,467278201,550083576,896161117,529775954,324812669,335944836,819209428,588588556,618521210,91213046,705375079,912231038,63600173,134773426,190900092,6456499,157169722,473593087,709198116,90524967,329957185,616594118,176412862,829082205,837444426,923503799,723625860,685243892,361736373,210828135,556044010,628011388,233978752,401551127,767872185,995949976,275913848,217045412,678651646,3981532,820460570,176941227,318833606,529921086,354114745,289971104,530150500,64241668,960814808,737582380,853465117,343372647,908821099,529345298,748275402,595602541,553067027,487109877,124856792,547434064,589469647,672060999,875580601,268261496,79183330,84720692,894559277,285179638,255997848,153887222,811456385,250950583,802025285,910450107,430004758,18921785,335274002,714587760,408944501,712905480,530754968,304590543,78000643,23675883,452030185,68958464,368305647,969921263,829016341,715133654,965161937,98694574,548066475,728055933,731989315,384163449,762467737,101393330,575099493,15851084,461616413,804681234,732464930,28442421,186249276,871690384,814207523,923745992,847360143,129658939,463845160,874543960,749976844,127868007,851522791,913780219,381147861,987785410,779422572,252428464,993269925,812398347,416713613,261067128,170343153,196496897,50895776,273708852,801793864,67611529,655793256,236957846,720310989,240747922,816377160,578396687,284935700,147770240,188672303,142580246,88251136,463124928,461119331,172523562,341958548,696532302,763173939,680174198,489484590,331712216,683578482,299306413,127346185,454246286,478455564,778563688,575788118,965676751,428605434,735898184,527140236,150735969,27463651,248358835,265956286,401173059,358692046,890783059,62079301,85430933,558838803,933500759,262119687,209960465,576362074,28884892,400990375,605527303,506234702,440741445,427199949,294196286,965083136,624339902,799773018,950865324,200273067,595633931,139867547,189526218,950831604,612927636,805134066,36992458,530605755,294918965,25064318,506803859,572085521,596491091,502177337,700816641,50214348,787848803,319776054,227291901,985606288,356019795,439759316,589481964,816920428,685130827,783954805,970525815,309608021,889650618,978810192,711538786,931483058,173022177,871931055,242475325,447528421,478880983,524262079,710926241,875977136,911405559,58158751,574842471,324809743,92817493,161090728,369332447,845977761,199679758,493136090,708634589,714393651,217062252,833176992,621598162,621046605,733384295,206692695,963211640,421966545,491034132,281405120,675954303,423340070,823669074,999577725,190205754,885144685,702657826,718740728,218632632,557436029,761747151,139173298,190075646,578331696,432249636,530336374,535106786,281619342,865303374,325608237,722448638,391597525,936188006,112783927,943731224,510068608,159372713,807932804,740410061,257827071,981789016,872837518,870741042,496300858,566803717,187903123,979822602,339376247,485129919,496453792,404790296,339729649,155938195,427523850,868383967,53394608,226463739,670325014,570492260,545667206,701460116,249653900,414346629,420273969,777164837,72486724,464218366,170527894,374615089,865067246,14708141,541604417,723695202,967690519,467073441,295959183,257047020,408403574,121005292,11722430,922021024,796380815,464870168,617679916,84869296,207949205,439526282,44549390,523740502,598009206,350964640,690275639,670946990,852012342,876711195,804094721,199278656,335768657,382247099,878537743,407710885,535705823,684049386,817478425,342050446,376257211,767988634,429418073,433062377,658392712,776493678,989897640,38976536,887788662,602910609,546316404,929057299,349644634,438187392,25384066,605652217,723459198,343327008,821455527,227351727,8918525,759406388,530855527,638658347,237021560,325040584,314975266,985296565,41673603,14321380,369672356,230040537,706377916,705636376,518147391,404654084,621880137,758319485,114660733,509137063,234073312,447644945,780514950,458285840,406591426,572136119,192449265,113018312,473650396,535531065,938969623,482988444,584437318,275936143,577905434,146011379,482837470,30393113,95819645,191990444,877877479,640585059,493431648,745298944,15404396,184800509,494297753,696696637,419198308,437238658,438561693,752099826,251999983,285389885,830903245,95167023,435700747,207892669,701748574,896206438,983993604,694154385,768499443,37897269,12348313,379657233,947894986,601589732,722447049,272506549,383174892,184090618,184295368,569779223,270667154,653819554,837977810,575211397,561068671,411555227,172143860,434118365,333693987,862585191,975542568,649295278,397888525,595144798,417725402,858527040,157870779,42582991,976031725,493536332,471695089,299711084,136828510,954661529,223211651,800325297,221855684,207382985,944610623,115654998,786420523,997419538,867489176,435798537,211456841,188223981,666929783,56681695,344349997,596562923,273765707,127899232,229955300,945318929,691615993,106423319,875489218,773194455,341662702,840063315,742800414,932954318,611845960,552342349,619952123,618209559,915244647,804762247,289720860,818569523,164893994,2580834,193886937,868479401,868173285,250739786,827519380,293036423,112040144,657633554,911125499,936136325,341577972,474648436,629494607,152759492,737073791,370339489,17750565,599611758,764842883,674490900,107009347,387855165,632426749,629733332,988495776,154392544,284545084,837155673,5071993,999320904,972902891,895176911,30413211,91281021,278860344,899264968,788128652,490812337,655063087,23447359,551708783,612226556,489694490,170215412,557481040,455064796,787467635,74689831,783779371,823398890,718355254,499412471,58939436,568604541,345749887,859306826,901839612,683904626,99064861,296533154,81246277,30946024,800299297,907057536,631233749,911020322,124546008,158708981,63919872,990193306,898411603,618563169,972314541,308647828,855569586,754135141,324409434,502215168,799638483,272320670,533387092,637103364,719820010,26950750,619882604,685582832,368149432,84004494,116342909,282619488,651694783,217623751,126475475,544419428,161974110,482123085,242719944,844235645,618652417,408370382,459405138,362485424,837165414,316402022,312166462,231958943,699706833,638217344,333481695,973172177,83983537,609706486,743564236,269603870,346854147,225832521,787705712,810940361,368993161,935055237,653244182,333822770,590681483,253420700,609446654,420820519,406405512,440298577,502777867,190238133,619962478,290710283,234160674,114277790,206454741,737710056,966498373,171901212,180075735,573744895,93495885,500822191,933199820,367110595,199666747,590601473,993191321,414516594,508839014,599255286,620591837,341622764,488082133,36900762,991459757,795721541,355822293,792607269,780806314,479051126,101110971,110671866,294600188,516206110,496505464,981876814,789451304,689002828,632969598,775036490,324212542,579577818,319109299,2182556,191933146,464566042,835512509,357084213,450595979,566038584,544850951,688782648,831982643,924910302,179882912,921527278,411385633,222461576,57741363,461065886,836576978,848497600,577771024,272229778,18654928,364783560,182614593,564602136,533911524,647134181,784684764,929714595,800928845,310949690,116280549,428710629,571668633,472617526,902737026,211522710,987525482,133132092,204215307,472290569,229849079,623982957,719977208,168287680,852021118,547246675,704564432,265035230,43913232,287572553,634658850,980291631,640665145,921233424,18350031,891609736,780746257,236386289,867197947,292843667,153698354,743069386,212625398,727871928,283226620,855113407,907196575,535539218,978664074,381411235,38299917,202306241,541858260,570841109,377977074,829999593,367360142,101971839,659730412,268444278,126416702,409237206,149152406,989393648,124234454,840685151,403620137,400498870,671461411,980295708,288336605,946846647,949546994,422757248,537741789,310772072,681474738,886237847,686128223,353840926,522127783,323307365,564161355,570296496,214558333,246166173,618956923,455946972,380957574,908172637,364783194,451545120,624919547,643843788,185155356,249616071,634008970,801653342,830719864,689246389,374836366,869109573,294407124,774583375,616881676,690628588,925825189,255336298,214632956,124537026,941407833,495846065,340572641,44797188,476135772,511723199,88321568,3744020,141081836,701485724,508087657,51328599,527606294,108303581,646432688,529872327,97032787,907934562,302354679,629203216,148675346,875329743,989974142,681737909,506766179,556826412,514961945,140370386,757110169,13462753,945905083,334658465,141225362,885684619,496240220,934233947,361113178,633100304,762537491,845421721,606118371,787073043,406054639,810964439,730910575,188213552,367359306,260887750,99908368,679312131,706431763,408811303,398079878,647610614,392711969,665955831,219774562,272908039,658300894,187114536,932536085,363904427,983081900,172568646,45792108,435146202,489694729,792127637,708626560,883526780,42428379,746311474,804061240,274496315,325973483,583998717,654896394,804363845,22291739,39337047,2107467,161745704,641590509,954097243,547741453,903339081,486314280,224910014,896363402,297103232,439430040,68726540,995834002,954530972,963514877,683317288,166591072,448396849,714281120,581600092,580876433,439178817,968536853,514276226,861086561,779070026,53001936,531615061,365765521,125067923,412341575,381258067,50537169,336248079,508907419,21088390,244380403,292121878,747557253,73942123,954026097,824330205,589153358,277532141,485252549,131760269,870452587,84157081,364082777,756455335,829233969,58003694,536333357,913119996,715689059,385299691,867388083,678238898,483573067,960167258,671333578,36010284,165009246,471356051,105364044,888007734,98505330,227350598,42386119,121404061,772789942,750448416,365828676,865102638,519189661,937033850,452753604,660656149,372255082,225463848,169026855,43774834,483203722,798030244,282071687,868209981,966653568,343479275,579878450,394530494,534049474,247433306,714483163,221798915,356124767,776163319,970577966,326753647,485359016,519528439,20209643,187778268,866397837,211214405,762936034,587448681,992093778,793844481,539376166,268897397,214126780,305441250,75668667,58482824,742292470,282186801,700937039,264489154,582947284,80838762,379878069,83964482,710032802,153993613,196233871,808295654,501014310,731059779,68757176,140415635,51610150,119351162,908392649,354518119,442080663,198025159,122424262,110166583,169061447,707374482,941210189,44780290,195481907,597025936,751882447,957978214,200787933,841564008,421780896,25740690,386404245,547440751,320078411,701860506,822861958,124304338,691908401,499446533,220096730,666936427,599331875,722291946,745374295,864384824,393635309,450107019,453278075,63926956,19130856,465645981,25961407,733124794,375503853,208646809,953455471,563299726,350587582,424805634,655918770,321702027,293058634,989697142,870127475,528038787,115450150,777535543,931254527,760519424,74027740,13635784,58218582,996527107,908823656,452594815,451768888,97559108,864356103,622052636,195570832,140720929,455761753,17113427,452472358,179478961,435824012,950398558,668325941,272032021,615686602,808311434,715651067,174377813,60365394,377742351,875549856,612312622,28130378,138243383,451453114,267356858,503668237,991653297,873037039,625904217,517169424,154736882,900639605,668719448,143516245,108785212,39631023,812009542,836992355,28298176,383405029,912458920,393770320,642851902,395069152,290303980,637418112,527285856,659024956,738182137,458005193,940577301,67091450,885401890,653803785,380137078,881837920,500492343,780204642,659859031,474303266,761421389,349747443,503157161,761249009,944827112,509423709,873298442,821717920,267319364,328944004,689290205,589044084,892553425,911561884,860840314,853993219,396408205,398079164,696689918,585979524,846013177,318295354,516123355,700100848,373546495,462945963,655030919,70981359,259462542,670236809,93613390,456192738,948903343,718356070,196993427,359528558,268991923,300600500,788994995,943206968,545087299,465284809,321309617,99268435,586865063,48055334,150036204,931696339,423343261,484426917,427412908,434234198,272743304,259899330,296761060,373984516,996342712,332197557,386036185,702394889,390460731,779584686,485768416,256260492,811128850,60849049,499449998,172955466,503926220,904744626,365482311,608782289,425574202,963533197,37485566,987145743,847946723,990918778,154260906,47273787,207378175,668920406,148100057,147185149,834086274,478391782,638921439,788803371,76266921,631700596,760704667,181381517,738067681,45181563,455965557,353704446,222316617,857055610,820088703,945213191,506238651,768167304,915006478,288916475,91416901,446471532,516297678,290094890,742052261,350529811,707277277,319247473,72571808,500799323,758631940,863369924,11266170,807800476,339631343,526222586,148553315,556966035,399652962,342890555,449509988,86445637,563654756,576127354,404725597,469610944,608068965,540545348,367236443,714114241,379592937,290259177,619881886,216835874,86905138,332253769,36659528,367043756,87959195,648469392,48965734,231864605,438873743,598607244,537628130,134020880,971645059,674478177,462502001,837449651,815274607,41865964,332654136,290508408,813908616,279727898,581941718,7823284,967859940,918174821,561745017,910497992,433266171,766898853,844888701,83472065,880065196,898557867,113082233,937090092,91885958,565643610,998501781,913245937,421758233,972634121,206662083,464513648,815910642,653545774,666334321,495593213,100242510,469267380,267352473,586995995,744093191,152263722,250031731,11153,110128285,190952838,427862391,428368479,633893845,382940783,771869067,484293273,689744126,121706499,942489305,70080257,796998161,377066978,212420199,660228575,952170753,132840969,508855167,936249382,146662761,957462551,7942588,579987484,596083794,579534845,495065006,460028333,939129179,909457599,851477029,992068700,124001483,21940703,91592655,517048540,343760285,688284609,841928403,385662358,242570178,542523297,194863701,780079054,371874400,286331196,462149519,136886264,154938333,836711125,496734396,208744931,709490181,426484854,725269618,665876718,911892820,455400199,707619974,355850883,379749823,481626061,454864272,76498440,692925876,593123857,678242983,386781633,909695067,870568688,330492999,191771292,762942868,932625871,878593090,9653263,466099419,374103418,999467176,504109765,614069052,904882529,566046275,452574155,679542237,487487686,670969655,990914847,728486219,404331556,86944462,944837518,267923648,401634565,736736972,433931499,823447648,108038892,380154280,561081242,971585640,501152218,829610234,491687523,802620296,499958895,480126804,336765539,522809545,996276021,833178374,721786968,294778131,992325829,935451973,153819989,509689040,201728679,443559669,422432551,113388213,724375477,377149605,973345778,605813569,826504658,954802549,819710027,453858863,277235560,154370465,924770907,744185799,541099146,124914929,894442597,305598208,470569789,247198711,413243567,197849708,146596556,179360005,413481102,103783442,681300303,104153603,340618522,79917284,641330658,690751491,938832103,129331137,591882417,850285938,745428229,890461572,705132936,158164802,103883536,505897949,871971717,745965781,412841821,547559505,212064718,802232916,833196985,75552472,916269495,708257845,490088334,770725418,706166973,648236087,603239738,12194743,382975162,899620807,172251639,570201933,348517684,121204380,24012630,741170901,889989534,350154860,545728669,845256522,818688449,658647351,128728758,164582188,288876014,690828200,958678752,698130303,329564441,810062630,736221328,667114760,975381913,699008486,59729452,330893226,129580215,821558765,435274725,602228634,690674252,17913203,184076174,856928278,67714707,423951463,148706337,169227737,469223228,75702307,560699038,982201991,2724609,968528661,398749272,715386253,703631548,698483014,13794642,873732846,587626512,882803420,995026339,353724121,229256288,649600541,37713757,125884066,817447936,860383675,702204914,115990556,877048836,9469403,754101141,483202752,811339125,623393545,698042480,754379407,117014550,338934313,448269748,497366479,291958148,495552981,220662864,898126305,551889487,789043568,592550649,614888080,204912579,18823413,506581027,992457717,532356157,526192364,457426084,952245470,800143002,880931867,485725043,558207744,853969417,553850779,565962734,390378126,794408768,206194146,409862992,161288802,154263751,893075618,882089811,115993229,473554195,192267861,452434112,684499669,191363005,774686205,864800042,451946743,414905812,168294710,209141588,201346786,134415318,865296860,296296975,579886144,338808739,173038872,761503897,317220000,793753109,254538440,491778754,326426628,361531183,406042356,152456492,162966165,743773483,621828533,582558237,248406323,870627766,244095092,200430156,315958736,49434710,148675974,412757324,242772589,650344744,383622962,45783127,283238947,743069908,780339278,683000764,830043676,146065876,313995874,870355060,231760361,242154300,499165134,166456310,159468393,589279058,739791188,791834272,447669581,386960086,716926584,541821101,402397730,818959761,962295099,336957677,727946112,811445997,539506049,751798355,666598596,13728323,132203814,267934301,828927374,820002843,132924014,279110496,645674142,477331249,838335709,397603766,745127974,575448696,953120399,977828993,409468637,45967043,345612390,335216186,888819848,781434339,343297806,237092541,453053428,761359435,668514283,922656840,516723031,455413707,787884465,273527773,767104882,961981153,959445639,869464333,71712473,693619437,693736726,381270513,716849996,340587831,62250695,448863840,120455186,268275347,837349633,933168505,146113520,414302408,524609585,432115386,766891389,306608621,827672473,522842106,183309760,462721105,446976280,365869505,648679337,279653976,326122224,704060859,839739783,542729854,622583293,68163845,393085175,389591174,635494202,982547984,378419039,379196511,308259705,149627196,844175542,239685054,823469706,507695572,377613488,747201789,766521594,717463642,824783807,928956986,789898655,510104437,288086429,791700040,510015724,183788841,77904465,542664714,690293333,558158061,872550315,6383112,984059246,102613720,649460857,985643582,988058928,639269139,240527813,873596162,14270732,672926056,582703801,93842119,966552892,113754297,407310234,368501132,363680523,253798913,461683712,516887665,197066964,340998035,218315513,351306041,982987128,673859963,517798841,8669033,191152548,348996550,763779851,152255958,4059484,180639182,335283738,881632018,721652402,738904745,13080287,716907019,895492110,6315309,230797123,539132227,398552015,397390876,259479816,987039094,79738884,534117418,878709631,315114374,284640757,957702221,253050611,654167521,933897808,394581108,713511225,386021492,602326888,702904311,916420950,255751304,582741680,299840342,214757414,573646520,276399639,286362337,591761009,750609878,462112925,50133047,681606777,631615622,784430185,115538036,779344669,780110126,375145594,871447420,30539700,229960667,976164059,764909721,204037110,783957693,909156512,940104262,291227645,27925299,686368903,666266490,409136480,916337948,537682872,959297147,209197097,781570802,475116991,284175255,593264705,8417522,664730397,734919686,138413602,12270399,432604276,327366498,925806274,528776701,811367490,605385445,541403778,319964492,40942881,200431238,995594810,787999619,177417974,677265453,263678381,925897164,940983468,500106795,708727897,450484839,722296080,604805362,327430574,924750223,718461006,311986426,613552907,691304181,399968475,676136362,266762616,827223343,524488777,682635285,364520553,247494821,838355705,896383079,27913746,187333965,379791099,120945202,996021486,544054792,181600708,546110868,744957167,466234898,641348425,650317351,848651459,239000600,498381679,812190994,517614815,312411447,432484553,473295921,207660605,48196060,59833697,27908828,418362272,921138195,127376516,633701808,716429344,585234350,79992884,442187376,5421384,434588534,395598229,669190019,515396478,684602891,781754032,237046300,869589607,960628063,120424909,43318443,923841513,319283592,771878669,534588938,428047607,741484767,910437705,158127516,788877572,276410035,270943577,605342770,650479751,109471922,679107142,195290301,130821246,881872837,613240767,152136492,514802202,137339972,906709429,76410957,168526,455516635,794269163,83455763,586268303,414485773,432402998,827757391,449307787,217708317,337675430,138345105,349920423,406747539,897789203,226029221,827999752,864775550,833366000,557295192,292392602,57608010,153522353,326192159,241951800,664557479,490090455,603805343,348562387,495188263,496261283,128090598,645058163,123909450,73296963,534191465,177643359,220194860,845176293,790983288,366121649,17335067,822590193,951031239,417683735,177355684,907833852,422045125,120230845,231559907,122980594,57938289,922726254,776174059,189253086,320408371,261033072,99687162,419838243,102626573,200054346,631028129,853887839,679009060,321206799,708734300,144190542,893689633,379544685,363109245,241378081,740039738,929856872,229686536,477581422,654864346,474785436,827660952,509068545,295269690,951551447,981446914,686105461,237163676,159997381,677637676,135323603,68766022,558306891,433961828,370991013,31528625,935407620,804911255,287217179,338448439,892614852,307364310,503458154,61011331,762592491,59552215,850395787,153253118,575270796,238486897,367722612,522266138,507425964,959480114,641439382,394783687,978019914,644867269,801579639,700723750,103042244,101361338,517678263,521813144,696084485,941933556,833765011,972408556,99806880,859897950,738532286,707586008,197242096,427096653,483402828,136053581,581817418,121920079,147850304,696818543,636499283,806228352,950733810,606412478,190478187,822898970,56843381,623558662,791466368,244932110,787875732,394279032,472949015,90558355,164288909,337534714,329526757,725253998,794318226,418093424,583249440,415211424,923294013,217994771,799611946,935801687,549927280,817019084,664125294,556125462,488260530,723045782,417978419,62933416,517725233,136071639,50912642,899813488,277643437,612758308,391976800,659105010,285123462,548391552,700030825,976094673,966384944,464656716,151871762,37094761,460813530,944537335,451876658,518396734,224719037,426411557,123915442,327621681,707113519,771031288,27393800,470524680,668778083,655461203,470715801,992193644,186644974,172132452,722924438,70043286,66706750,584739813,54104091,130173859,343109397,490846227,57908964,856084525,970226844,824359108,973342568,667645118,958010249,116383757,651061606,220200311,633337876,961418,560455304,657121774,12402945,414233562,127079761,46320586,262533732,560561658,850839618,855835448,770202735,102952171,838629375,336687854,625459139,339985846,920569099,994043313,586281226,57162969,299775573,54247414,456217868,480512009,589427878,806494631,782986063,660883619,502320205,600054744,793107197,984095367,463038851,32293738,523459407,624767950,968086608,391029024,723503053,266992763,99754029,765620390,822909347,906950845,23155549,65952427,752338006,61680591,232941952,726349655,668231440,991595750,63437411,186906923,315033927,153969652,924332694,524420734,130738105,994094876,955262908,517782667,657122441,320270478,43972352,561886671,961403513,977007523,60467640,192725497,583129215,644342838,478151254,791424648,119325452,977408696,118389541,999656200,281636910,593792526,143204401,740047217,824089947,71162730,650457494,537042431,844476142,215382336,880617131,767475365,126250075,472306731,833009941,641085774,848704434,150823637,741370626,898810209,861865700,841307006,96037424,707065650,959914958,896947050,698051761,469970600,833108645,928744615,655812340,870469224,440310085,952587150,635739163,595730288,915478160,995232569,467652172,240065826,403623050,569570644,983117052,247258879,133812056,864436656,92179324,523989778,930090368,482716219,96329075,813486660,929333005,899794518,674353801,840219954,296281529,93548949,481928535,432344974,631239345,349695977,88341800,946453682,283357481,875403518,974809,220527751,863538609,597890034,180430265,304999933,221475387,482506992,886016216,779230574,235643811,403841679,289843779,104441648,101851623,680746230,538516641,757939756,160088695,749508069,16234207,84731774,486874225,765487846,639447578,350752124,769204284,1635383,421632659,332350377,871007879,638932112,583415356,535811703,272338948,387586045,78693690,896228194,615041111,42097876,113282137,928930365,176766198,727796964,888786724,686105862,301973878,558387818,904722274,471032791,307164329,479964126,844449107,680186138,581660667,383758639,635983302,723355267,665619393,756625722,58256211,495856611,301792020,83944703,134132850,849718118,130989568,919291980,291314354,399537582,872942299,241522552,765266679,778489625,966232604,287628208,86353495,918399362,522682184,95416834,60338491,114633698,608635945,267034084,905728425,446255917,161553393,63173537,575852475,375830173,480053566,517095035,90020855,851046837,242648259,202684195,134979206,875598803,976262908,988428992,560348129,140396895,455692505,982567711,518244456,474334049,468232097,269187945,566864531,8468062,6394145,302310214,211448131,305781591,413712005,629241207,261119487,28829089,875010301,524803161,580372691,61729141,53067615,99868768,293579407,31791401,111601246,231086808,305783987,371765661,979851030,545598163,644239565,316617805,602974321,347442496,620084798,838277488,62743509,494386334,383632740,346519392,958287202,777907391,949247961,852872826,491286878,162920404,454836992,433827208,814560440,265394326,248091504,618689854,129230132,630475393,494039950,135346561,89805417,312386334,254848179,14894512,187354450,415232632,56006560,667179989,292354244,932418115,374758742,13903924,502944877,689426814,290641778,934770985,209275366,783552260,189987715,39699815,970645055,186728623,724422085,272029356,197889677,145596160,593513376,312474846,846133741,212751315,143244158,549941342,916187119,286142242,132436109,185368535,307164701,278333973,69360398,494923316,192121575,887425829,455434029,551520524,931520372,762722942,434641474,691846587,335971299,450630936,512224930,555062209,908536874,210795477,390418938,272362069,203196360,934600649,208709892,722616825,766509753,854484229,862059956,343223474,578070511,412802121,363894881,496238877,189979161,482530793,785479632,653471959,584014693,348027879,420804891,438770726,426721399,804527894,486018254,503479598,922238314,459288472,92164625,970985633,466454289,706541225,160351289,386516460,322710343,882414767,615734146,347530363,62401614,247216475,904904478,778705661,120854555,805410184,283716702,279494851,793029133,704379125,231875891,513582210,988818109,42646964,669347423,373190213,115819910,908996499,196907340,560872563,445290542,863797763,493253029,710466474,515545883,116922579,718927082,520032416,583124878,296780927,822474335,868094655,832711306,967382570,56225180,241641552,771529859,343601223,649591839,657724456,752558413,960194731,212162006,11086433,710942674,176330583,604161164,517467236,62572089,610692971,831377003,795980680,295194098,997081520,956187001,592831106,517234630,967804351,779010379,193925979,258877875,294712622,527665398,12337131,629935377,652390343,928015733,952506395,828955756,632470525,657001679,602116906,929040718,115087064,773951283,627631871,746806640,766837604,629271262,366790883,653147133,619147864,349836074,313187484,795240016,415470051,341998331,451813058,941317089,885505646,945321125,213961808,173801211,195352422,683660615,452050038,506354949,159727440,656314872,858683287,964314792,186543674,321939266,121423394,849635657,292058919,840426749,123461351,785089074,422576416,164673309,944913582,225891260,505862777,762941234,170305254,951873847,605734274,236380618,652899999,108525465,294674327,460607415,424280218,641481544,372968680,386071694,253610464,798148429,458992587,983107562,750234791,177044547,497889029,201473749,373727519,836907914,669989253,970200815,333931870,548634797,938528597,898368170,818405061,965877369,201937459,792467262,90105878,546130687,147082783,71689351,815280445,947810089,365944688,517754089,540487058,996429565,336328265,4279367,20595454,228614822,11620632,442479024,615654743,85520668,315089519,145721074,756758265,528140140,561800605,187227799,130124682,386523545,580889990,197033853,340575298,549056164,472634157,31994297,83609050,283677772,337527211,937817717,408434558,539558439,534484642,89697242,294447626,549830236,229738105,277944556,322388042,609233315,521265361,409517731,686593130,269472125,786533699,406240116,421720679,337370486,718564906,506732004,509814802,77528981,756112632,901799108,251370348,613011132,1533290,823264720,669546072,561410631,964928273,114866610,148673966,517324244,614013057,146127022,72150145,937341683,842778993,595629884,271926740,745351571,300916282,197021984,811352317,267223755,906263755,673879445,865907213,57163750,136547781,772596413,689814585,611085397,812727833,143383814,627611636,265414200,995940866,301640900,758651528,84553643,141798616,70173673,638935456,802136889,766272567,786133214,234506545,472478113,769904445,824702635,156844601,947112784,734020070,518863403,528967991,877680080,989802319,993129370,786128257,371406094,780948479,935798652,587519252,805974960,318683708,998795986,321716761,980147317,481406499,485300820,113113437,350285413,433824563,714861899,917671271,770604630,533350123,530740401,704612081,225103590,385156353,787399617,671906301,959402965,94630415,940887712,585572459,966393811,938429485,227371661,162794696,4581021,779493031,356226531,15097445,866645350,423845767,934731703,523589449,533251972,54110914,519521425,594388205,407574971,824597520,833403702,941686285,35416773,489744233,975022251,689653537,865740552,59505371,684536497,477178860,389756938,364371469,552895415,554468484,48867960,564649059,623183027,397565875,434381657,414455405,982300248,295347423,248418845,441682369,506835718,32245833,151127073,497295698,355276352,750000575,518551835,98401413,699250636,238580342,539405631,29722630,739250072,965273315,52631324,265087949,279378543,773796911,431293528,820929858,792383838,846307513,320232613,796824005,592720426,870345448,173270341,653604667,856631119,954155169,394251484,640731451,319729587,675327626,350493252,771829860,250958719,478420121,832272668,146852764,407671414,938797049,848955390,300763014,219461449,413524086,670532453,296964827,246474964,131004637,103230508,331193715,293815069,625062994,917346169,909380673,795745425,696233426,929103970,571950526,477754895,237732697,716052788,261858590,966719082,535605819,251511137,386763080,545399661,334299544,964664337,776539428,724107575,319427252,890103224,836158258,399551825,531194488,385715230,690991597,45749978,213703189,245857709,771876344,653956789,254732547,40550219,803947578,700107366,402698682,589459652,467447589,944607682,600366200,97073290,47486680,162736740,496123349,920855891,609380675,242754473,660098331,936168145,741905131,464699305,451918993,301928103,907709350,706504467,309452398,778988634,51715737,468182841,301044830,31824152,312750862,604225343,679052600,955080684,367499327,846007753,375619467,488739129,58421502,285771206,996505682,137513535,267638560,968136878,26364637,124729440,125937566,766809417,616466980,328900534,105787014,994359061,835088122,379934816,432497060,878856740,74765893,676835310,723331281,763820720,352485237,679778463,953035903,738011990,803672233,802791451,7873139,397490105,473996106,954187249,742532623,466169122,93896396,515394048,555052180,441472894,859853017,496759089,980038069,863111282,542119355,472162202,949630998,398762776,721824106,26225345,449331071,307973019,210881958,365057165,751119693,640205675,434517355,868194771,344701251,23582239,336077529,802116200,630453960,465543579,523547605,374683212,93548028,402180941,548348840,328334544,371017161,441266105,946866763,301379717,591360727,997157221,81135280,208686697,22027904,229455372,648432372,319241519,397663434,422294579,705406077,148275159,14063770,885389552,76025027,821680411,554833071,333667669,402340413,891925756,956110637,87855126,769187164,154190905,366584511,358937279,951862484,339907767,744302742,764535540,588035567,498800364,432503675,368383501,410642495,896006486,535353050,376464779,675896530,829027191,580153959,708101564,833128796,926761723,28891550,38528110,193552648,411526491,734326396,356515541,452563365,541250929,442751075,440729291,877380376,577510107,227830596,224778402,688608141,937320049,771790704,475240267,882638527,425381656,425511673,639007844,701175769,98489894,27351416,100318291,751847812,498793170,99389115,329514932,427400955,724025882,900570595,368041047,566169721,506474699,520886218,554125202,690439391,991720736,24511970,557191887,954243481,382668703,793266891,189667065,927023165,797962990,140814859,538141711,608305892,300394857,543380135,14295727,589990516,759878628,945880572,973620552,211589347,675264266,947023027,661319328,912695114,261249434,784993590,63633715,880259108,974871507,258966483,579340999,339445094,562934265,451902518,946272880,804870390,480835170,823176182,178600516,688435756,406737385,834104337,591848310,798710456,928828496,482194444,244196633,995473136,37193003,676190687,942119741,249435829,238532004,289783302,786549283,2257120,678699105,536576769,763277983,934679703,695509039,240740964,240720672,580797714,203278761,345566206,660013302,56809904,198161129,213386370,789119928,311808015,595717406,579297337,60016309,976591037,60158170,902064,15880382,761109210,348036779,14109877,694243125,588197985,313657861,648467753,897503769,700954394,940277821,257078044,55415190,733999783,166464797,78246114,171898583,454135721,191108574,34083353,875641231,168470204,870091976,684288028,9456707,153275183,522721516,746176481,887924270,330573404,841768245,834558642,905950682,840129182,745968643,580177587,523910513,19419138,570501719,619651713,16092292,258889740,796361241,760019579,670197562,630897333,417951006,283272279,813793785,614221162,911976659,593590255,232594796,478499296,650916385,658587792,974173756,147906101,212154556,222264042,533175098,920832941,822451121,414902705,696318086,952581337,901909113,92567403,362099716,667143867,328610514,961147863,840029465,461828563,224186253,740780341,749106052,92644846,15302730,499026158,343549314,221206098,932999437,862480670,471381897,678230840,603163946,514467929,713321464,334024143,929411493,167983393,783190198,675248849,512505442,890315863,475051367,421144895,312515764,754602120,378953077,133283645,937612192,688365286,55865648,980925067,874564958,357791832,480976495,96218846,446561309,316481415,853054770,142216783,301792445,375207329,184060219,209032368,243627062,648628051,687237896,855139904,146218942,908126067,622840978,751707552,68304508,146560599,80732484,10194546,908679904,862533742,966743373,763683391,129584920,516088378,510798804,843395876,877863332,517849916,222690449,795604780,575300245,388131776,589296587,23894419,964333388,390795194,890635183,794853936,131597636,415257016,14544034,914242708,139347370,382340784,590659318,55297208,885091097,671886962,36274694,559884782,744683000,134659564,30193291,518284604,750070866,640649656,682208107,374123324,471980309,13053336,377917517,521793540,228116600,255438699,579747832,904461881,979731338,739209518,645943167,758229396,172425010,520144309,101274084,507336306,810645837,225921400,237451256,908617177,564292997,228626146,826344301,378850609,449772558,508028847,166300590,728892653,757570705,921705664,107127238,470368893,218418837,326148972,508085037,973819971,327615747,792895490,737968165,976853859,68854484,663473516,439635334,489163943,269554601,435590125,954381465,448635301,530394500,887390453,128281846,51786737,942594199,717948617,121694064,494373398,969644116,769135689,917975986,9518210,64294325,319024771,86939313,555389311,152514134,819841364,116629348,302831024,606267080,466881798,302374009,430606363,915796563,823236243,280980174,175499763,465352408,314946626,172469926,111262165,443256385,877535834,888468636,44480204,808523249,933005397,509181982,771240328,124324572,691039257,14376615,967744272,414683557,526568589,119615836,898471937,821896923,817768783,500940006,667351995,746417953,205342063,73791091,301907128,157832280,771127844,823464668,7050280,440141230,447196165,191804541,452026885,87347166,276831040,60045288,734465819,164560833,199230799,349216876,428543293,772522955,347184953,62340406,54577140,272726833,794454806,985751704,341174474,621985059,692859155,469189763,321043343,329478061,343608954,592782592,879104522,63173355,413290636,56255892,929609503,879749990,702807091,927760758,746586888,539058098,127047623,239033011,555807535,283062377,272971449,251977715,80040060,174738522,983248882,165602321,67218160,224964621,894042159,410101927,520955589,806873074,308033648,835263458,11964240,336858967,198715807,372278844,843790923,402207080,241351895,748877352,702886910,606916897,769495286,889412313,172815805,762669762,296465696,219756279,323192882,645319337,590478084,606671802,251977841,460687979,434785849,954050586,841685742,20399223,683568183,596291616,222321052,329184104,520255361,405636904,680569303,966936172,2048902,51321264,408628815,894248043,436922851,319754195,727113161,476616401,857769200,406587878,924680356,752826071,230077605,677605001,264662666,607106695,586631397,986808348,469370556,70085022,426516234,251182268,414082164,244381621,330413331,929098136,80892264,878086419,492077920,211750697,295452807,882560159,873420655,611155739,37938835,920898531,867955246,335742551,169973162,733695946,899652780,65354334,513302150,304859099,944194106,126428089,533595542,572286561,572817065,924129706,512976948,127706863,655094408,271484831,59690887,625625794,719702453,601881560,26280177,12826551,434333704,149322577,946892,228689746,980028706,612494720,303269874,805912980,548784306,248100075,424988228,434538075,519525678,163030788,411733318,149518659,634610110,963465495,678635478,299284051,608728547,57203784,965957016,348207775,150465499,622587473,626159819,727250521,159473586,310533752,67604276,6992121,960546640,497030182,426800915,362409769,198309179,950727197,695291089,858723360,872424174,694334802,998242489,153829638,261957956,454542500,316850589,133337107,514296367,566734301,310276074,732946036,109393293,504517443,915565144,729463989,362313073,791790612,756466459,516395724,548841960,484787855,994349084,273038906,994344029,463272649,152190637,324301955,557013589,537671846,888951343,569588101,822295623,376548403,459744175,585521210,954883760,415081894,826748512,275511322,490179019,713930620,746237,125480658,355914301,627386086,359614204,187679463,458727138,509337130,720419508,58203052,598479400,241316185,720647261,382379848,134706195,976724859,494054017,165646682,567960211,517333590,395550406,701129212,138553764,683192621,856132938,353182813,57828966,181110510,465980733,533815878,264810815,331412050,695365486,947107563,326771338,596304680,22158227,6670759,990264379,967329095,936842637,955347795,662122280,12693830,604017445,270313430,91974997,247320526,617666345,720259304,58451946,29744343,192137035,738404027,511916560,528845611,454311591,83679200,366570854,348963616,870996352,868643132,705136876,528773588,944317986,941716288,170235720,526696882,132634591,972883494,545874471,897858649,831653916,63034044,865383685,542396385,962428933,568126518,856890714,797913437,327657627,364411612,755505612,50236349,40016991,69792312,738409476,550599219,105554865,670576834,77455355,539797974,990877549,699145389,31870300,206738055,253079346,749151778,922455218,620775454,130485804,211003054,893890126,317507371,518662031,92822295,663843101,331004880,646317636,781547271,757749220,997994399,824097332,835179408,13738075,821404475,59953151,928145401,646760556,310421871,43800793,836234925,531517423,198561868,73958816,814908803,741333490,643904472,342283273,98136919,911393175,621890864,511103918,642836605,748456357,674186792,686286317,754140421,383712724,452194725,938128470,765609892,9607337,991986013,259317782,567677073,328711132,945159156,115963880,910713214,342533198,312727257,460310499,319021190,195211438,838290641,995675913,478638520,678344285,819357656,415631089,177935645,715668543,366522241,358259913,488403757,284976732,551858262,343882609,277524925,513650818,670606644,174359279,15423420,209074737,350967879,172323808,915013738,975761405,641999276,344094963,717243355,397347308,495044478,352282483,632105594,81811089,417307237,265640170,468402651,778665612,723922796,786983335,176544514,621681549,242168688,793254374,360102198,414752517,705913477,901100375,56003452,37112402,938276104,515527046,253702484,859350576,841699507,679132054,26112171,897358843,264580886,253271422,514363696,389670369,918288823,58352290,98953823,203088076,194384723,716158423,587504682,320442818,235576884,315589357,462633427,432690509,389525182,910073710,181551227,961197495,327375353,945812093,376634970,865788441,414864486,963789136,477369402,184599622,818835974,467106331,548651336,765745264,802851563,792792510,145956838,684802090,175885440,48280565,946953465,177462135,473299857,669950820,671489323,54690604,639154441,619592864,418238618,716348553,537845770,424111546,208853211,825341873,981584837,884568145,939064630,312359819,628189716,980047108,14986749,570387115,126856329,667479246,334356844,999055161,631580953,526174432,783242006,979554426,639895372,296437341,350160235,50513678,238876291,931829502,841688776,405893732,534237697,396166044,296984326,952220262,831646295,414542155,950434743,530911894,167290509,233185898,587677945,73480356,188731292,737356128,672516091,964334774,330003006,66652634,409632877,637355033,711157134,216188909,120949580,99364819,796376480,127525604,835306969,782466538,106381940,767348642,791100091,140117976,900004355,928311389,37896739,824471064,698658816,75199025,453832080,964065320,479441732,48498386,359537374,556282640,982926515,152213167,448569151,34690048,198255908,606846508,678582925,720471076,299754597,920486028,598023207,906262473,995533234,510307266,46475440,28130763,771228584,826416278,178212109,928844055,412294773,546296101,903272750,463828510,638793132,271705431,856304699,102943141,771301637,886650807,206898336,282971329,628560570,216670945,295555075,751025620,281973141,625925863,993680445,763652032,173031885,581132074,940958641,365025678,441970972,66324262,637762286,398055552,874160490,216625476,256441388,849959895,833494030,217331780,134901704,907796108,451872200,589770021,613447149,900565375,194883287,341561845,741538323,202668516,463251182,545063407,222918866,317646046,301717703,576375614,125144275,204673009,138500570,465298058,640779906,637634004,838794711,615233021,808921497,72483026,594072831,513053724,290130930,670700014,23522210,984085690,926940319,227192753,228353138,56337011,56130582,767521208,782717244,300421657,261685452,115917502,358950163,172960688,454893754,429822436,922614676,326638566,465280430,587768084,434296543,779676699,837356517,637452633,364462788,838852413,274874084,670467839,188786469,602910269,613534599,539242350,922434937,825000668,735778057,480522814,335710264,577148841,831093955,647043905,904410894,404529907,796907053,424169401,665087527,401970565,343938374,378979166,54674949,390321442,724951541,756953391,396398586,701157989,985834462,906946132,964401681,894842130,339321777,919606116,522192152,972991656,422386471,200312331,150905159,766012621,871065101,72971619,965969456,829709813,275019204,289360907,25430325,41777150,917816034,916161228,919043088,559518624,328444646,302563185,641628438,186445076,413663177,959285055,702307844,27188490,84628711,275388490,208612511,880542666,524337071,803227066,302186441,3660638,811639965,686853810,700296120,22280092,151041591,258502789,594767031,399443376,505987089,792721615,843728448,426242825,655605834,827903434,44340485,196726400,714808826,990125736,99866432,264061257,280881241,227188682,248562956,984384437,446242873,687769035,137956344,454343231,6120987,96212152,489823679,520390155,18258860,386162393,891731336,601317206,217664175,584771173,865039260,523128650,890384891,626603006,713050153,19251700,64360651,739027732,877106206,433990206,493855428,281468583,238090089,260463297,971410501,948963573,408414405,777147169,46181592,680900763,979645559,405368904,886874668,711988553,95086840,376466356,193693888,307365775,584122559,300118876,732987512,726285547,804008572,166229281,27902531,576033161,866725504,817978616,672959185,434730844,455524665,404253779,246680481,997693045,37745303,7148668,602019710,13323541,6024350,528429358,85528071,945453745,451614657,750475690,382128810,403490826,980002248,570744830,852022493,894158274,357669867,836833724,986707506,578606177,138309459,66782715,311024283,750267030,504603850,696647334,27249722,30335445,41206962,349552485,219904247,290080942,94646194,219724512,616850423,177267021,296273208,511393870,649674544,254920253,266848564,844074547,512575590,574145542,872113266,781685688,377778098,653053238,478809208,707304328,283760308,548728323,968079197,725214811,949963310,846026363,643764104,769701128,356507109,306091373,869376349,320712985,96587637,728684354,114907248,947621925,14697176,531487270,973996084,379343269,828055784,891246854,811505585,437538516,726970776,697685081,209332693,992343337,272979526,278765567,532593636,764355234,366879499,312231328,131716007,144267521,202859153,909717019,353834977,258308116,241303056,819662767,752210436,459054320,892455249,70024528,250148725,211895525,640459125,683605310,579068604,335894915,173563906,843683895,771944464,69336949,204862446,496074095,900619526,728801523,649083124,467788876,902571532,671856759,22746435,2910804,312938647,38087464,442067973,14627452,184726907,165030835,788722590,43855710,438098924,900797666,865558259,205197759,464827865,492615690,242201014,754820224,152786404,549865641,272628090,210344732,778357193,768904557,142995041,151868529,532237874,694952147,420647955,8252014,572650083,534962823,374099287,165444,580762256,487817228,247947122,362709000,666966489,362249916,184354943,479511704,414232409,244062394,62887607,510068523,944076660,515690931,744997334,110677166,154202259,158476924,122841637,901295026,191118209,394703231,88021555,472651142,853824098,175298765,698935575,896032410,998820146,173306968,437165094,129810951,675549624,140232996,244832309,742859321,578335643,263535593,305415401,624142032,795974687,626985383,369535331,744188253,810336102,121464410,493962958,226919066,661005490,530149081,693172790,396491549,275755026,575898842,621279928,731197091,658680863,139297313,754115331,450591742,835619443,848990996,521540353,388823597,918844422,630332597,460064941,339854293,395446216,675209013,41590497,109357749,421322340,614860159,972203967,836552165,871975543,609456402,244564896,295538500,117587950,790275322,513361267,921859192,152454863,311452655,858593458,771888592,246847651,662064136,754536624,134420069,746205930,794783849,141207430,784178627,376008413,832329732,254856274,414638178,723313426,529195959,18131049,345741658,979876768,92082284,45937001,506645362,877191769,758163954,859948021,287935729,648699120,153564485,108809440,200584769,722614058,863285980,140933829,514570541,440764697,189356167,565630937,39341162,881121036,279734517,272384531,587056411,847861645,686632725,230039656,702659945,289381904,441639069,505139807,469700263,39794497,387067905,679684973,884533453,182320161,328981443,865915565,902458239,762558073,552436945,625018172,264854118,638119824,719937093,266315892,198681644,833010432,935214774,269876590,508818284,236258999,92937247,617349146,697907363,690604641,537807880,867960744,748835641,36043620,373878250,699245657,816705302,926492210,623863704,472074381,863919542,974805556,214956214,126308290,210758258,763731087,835366751,958822268,841685668,802839321,557783657,710430413,550149667,238948248,291930890,630285196,37125254,99584381,681609345,846589738,201836612,113894293,149387279,515882648,435338732,613782390,274253163,78944885,89919922,953082172,481079125,894640433,750201354,67636522,270383746,280649313,158795738,676523756,201922843,153142117,355766465,613161556,292514893,688494123,416850486,316198418,497562440,645698717,980463437,586786289,757263526,896081017,362867946,296859307,219095767,562253455,779917856,364100514,74840243,749860007,960927933,516802610,137156839,977394680,659271176,586441872,976015837,139740216,300332373,57150028,578649844,560065874,413012005,383019623,29400863,470013882,594803700,199921297,975946562,769863257,701064564,239918087,841950084,2056740,526112721,306125780,332576229,869770046,439416532,729237644,218396882,842500268,574994705,743566472,738536268,270001668,550210669,957248209,915016822,651603393,885122696,57057087,673572564,102674974,420778800,231169173,774193205,974247095,930558752,889172169,320838060,151392503,744986238,934853183,946187782,666472109,401489899,722654671,843840969,314976232,412979731,345252835,354055802,676066696,558218880,922816907,415202529,30057660,174410475,504533022,84614776,961212766,870210934,482943352,60410624,984539760,913816967,806243908,971013171,52874268,579361629,20794239,154708630,908163597,791438294,869538331,731397432,292085977,564574300,381246053,655134432,515493574,587375105,254511157,558864511,572090822,553008523,58625498,771342885,682243896,250751274,353346885,870992267,211713122,135036828,7198723,425405052,124000418,141570161,55734534,392534543,142394288,739252727,648838775,587849427,315582943,630361331,324286383,491072892,326932652,261114120,979680031,540282376,553946235,652639058,559527751,674721326,764635257,340321658,902611694,402678577,596024254,815865170,178113743,739058213,26961127,811765397,63961893,871339207,811841272,308876067,964559527,727905765,990494458,549075687,99547387,137004483,377685136,810477288,227072345,33185697,502168714,722537360,856761281,890371489,122415874,83969872,647922300,743074934,750792359,42457769,823785658,432597977,289472364,878966233,581246338,83477091,652637422,321085086,715722191,327265003,757551328,113813862,96400442,203870650,353654673,251947408,41785737,793138390,823173432,677068000,470772116,934975374,105007027,231029631,249400066,646913906,864213872,124633308,925113311,638062259,284946934,292853942,870422265,195491143,439477638,102695621,156074983,902123308,944031028,598955773,833140826,539883641,269056462,485543099,254376262,15333653,545923333,852896476,33174296,426712250,895290414,555185358,72857748,260559405,180740931,297842857,718935518,836913796,208296191,704490442,167606285,58549068,225959880,22791859,362651851,831674651,821917752,240151325,259128874,210135094,619256494,988201139,570538950,113633989,215692145,293207825,260249880,998551392,308592383,217879347,127782428,643724061,820009145,726214358,525145647,740627634,169981222,492460320,490320819,787665351,290708634,977321072,484166473,596574556,549556778,130290628,438120950,939127532,395913868,623316105,393685347,433407311,936052481,885262104,996964549,465960310,708579207,37163633,708943714,884975533,61591400,325110605,293012411,898778608,580226007,339521371,795876536,62136645,535548187,318645080,169369508,241327805,69523277,429175196,222547086,709385096,581445955,397699882,195533677,842690042,445504303,439388107,450778870,68066479,983912433,958402853,436333472,991229135,720614812,929896011,864867577,59290352,890754590,934742489,159785595,819855428,70680828,38688753,618240444,729266083,72388874,919742755,626896271,19548264,240782095,148643758,133469027,770747237,722587802,6956529,181375780,316605305,652339715,693839861,988786398,255337187,207179444,809164942,579413823,334362959,394157809,916729555,598799166,889165911,592169893,925327251,223283589,101890220,11075233,154499898,771328568,992753824,799575779,428114705,416970961,200033441,711219053,960983674,8544653,817769963,839034995,844311189,492142360,947039749,528825751,558624801,467618196,952943774,400358837,655439133,867503513,3888453,924196298,413157768,165489655,191603616,404881802,653579467,639291275,560080363,516683615,106300221,192633232,119134770,82934324,67209156,511565501,165834502,563458409,717178241,372115772,744398683,57515213,858751757,217516810,21347330,6915492,776747959,816406073,712593952,89047865,189350371,958947882,521050690,534145190,109162789,39633680,404940060,818760353,150087177,31776780,425097585,159564805,974350432,214506200,15002731,441680200,50569300,681513106,544701725,628021962,422867980,911696981,66535431,520397280,490716201,409363981,666262609,11220844,732892698,151724591,711909609,37430157,916383761,146111271,999033220,916153540,337912659,389907296,306121157,170723904,407371377,547405169,372106523,613284836,214753713,339804730,745915146,244402230,352676566,283366996,500292232,345008197,270299203,381314654,320288771,270504023,535254023,361476317,412350260,769012809,192251999,65488881,692236445,35721893,749171197,936182899,885571794,915366155,162086291,840311958,271807529,868235612,499856344,89725570,446273365,886273506,386817283,490254474,644929811,141326327,105740722,908566324,908338528,998246610,971433214,957446656,275900530,741101723,326904352,557345200,662436100,601738122,887813006,620980408,247152637,325561054,749700514,336905306,614665297,608528303,486743974,927873482,101275894,757544391,697416417,213454096,777961355,25147944,576018173,451647840,138992300,344726388,678037965,849886105,912229651,941827988,520522324,576358784,489110742,670634017,112013576,594355036,695317252,717429928,559699696,262534870,546003297,354784424,451467123,664433320,414263303,577292629,129590358,373840986,644603209,653700690,385439848,828248287,687005520,992310745,589790308,599072506,864595731,384291825,487642477,259588167,682697588,105133793,400556611,916015767,416523175,746355812,563224559,764853892,546528195,185642722,591895779,327827738,413560092,563708026,748727080,313403567,781761119,843263459,942331113,993152583,695212882,378975291,348598602,884300044,720935629,846619359,640309537,680054409,480966761,150357982,77250311,577013955,870877565,477648563,522676558,553063972,144841344,567750479,359031656,531210601,678467827,219781898,895929445,277930127,768683773,853476641,68163572,458364515,570658823,284928809,51410924,199864303,760139626,696384139,957141997,535136732,564708320,971280347,126372607,803764971,272932346,524693371,468189297,205004396,705820256,822413156,680786157,277783412,994184147,534932853,788470665,736217728,935061020,240674799,281745163,262133228,527687446,720218823,611227220,161553346,88263261,504534450,759722238,573040244,293568726,365897340,30028305,676218476,209360763,977886773,519278240,953570687,12531504,272200521,167924803,550271946,443228927,771542415,733096238,626076896,499878150,59519102,596775049,61707471,247753425,331296672,56550024,87278855,966899669,33564902,563038003,365728616,794980682,747532191,308399612,361806686,470772771,661663749,553200696,292927487,704651277,70820831,399721119,762072558,44306085,961669221,576846349,92375324,659671328,126319980,805981138,275530251,841673882,58431893,252996740,203521051,232101218,937446163,194349276,807859220,876482859,445577411,437633718,161068819,87184689,514992216,123042081,725168316,71646449,334646665,435507276,567274533,239724250,179860651,151503,570758677,232433162,294404440,403174746,413863586,424373189,563420762,919031755,587264571,830681986,263939125,371855807,38684118,64021454,518056480,248863651,573818616,550533289,558318857,400331911,774908898,126437618,942378244,574648114,620634491,663383379,214377271,236763306,50925289,838726397,762846790,841069509,420083118,457956948,422595276,766258064,979632110,943807664,230224940,990214497,306406586,255164482,557223475,543306586,539852413,928859583,18492259,472141761,33579728,408671261,68540177,18074118,868439228,646366305,350066286,957039972,289965914,746249309,998161486,445075057,86055627,496056497,639353598,617373181,117753643,968035693,469924518,578857837,205418740,83021724,849278674,581583839,358189527,454199278,281524701,294523744,905170527,203915181,263884153,403812220,751302524,18485203,599036526,892849375,19655588,371092017,472372081,315895230,931864812,692332100,627138938,168839818,290185636,61137265,354401068,970626599,870260043,319518638,20628756,976431159,487148287,181420728,414235286,251802610,629042405,878290883,769798760,175764079,260707190,712892490,411764075,30421444,948930090,398821775,703906776,441591462,546409947,435223911,50279713,91716790,224893887,906735442,76418303,392329676,242953377,430970158,626469287,778670280,43828382,690096936,193463718,484943545,30248846,752545756,892142362,194484035,698124945,5284337,464112279,924268999,18048716,522817733,286078181,571834703,95556114,317419566,655517692,938333995,626160564,511945301,70583425,987582109,418789016,814240674,93546647,350620366,47040022,94918848,545501224,159315431,315900086,893200400,161936330,796058460,34727393,275513869,410918333,183570136,298016509,435423004,501986268,571491490,538999173,109981426,344666036,427692046,39540521,434624614,679425497,437943834,29570648,259856034,480375093,525008519,832893594,215997382,858016227,618186107,513671994,366042139,830020826,97938740,133257568,739501265,697530164,473874339,908280513,6355405,587610178,623247587,220552827,108934659,695189137,110830846,563720750,418155929,579046311,698005815,693031154,657969673,921748102,277998204,847868901,580493912,268300384,300220651,790634454,451105018,97408023,839212957,878255291,357922489,925822010,992400,183589034,67307234,532091568,495287462,360572421,107577422,572663310,89651493,705155271,647247625,342020044,209498386,117007974,347976255,436819409,534134932,645993182,212816827,872114535,260069933,90827359,624069389,625221912,848551496,286184383,937989000,458986672,741846177,572477287,589128225,27244714,288468004,393650848,976452296,77327723,915365661,281217977,65414742,57330196,369695238,584786818,93998080,455937088,648233078,734536313,66772268,977928786,559837882,983771728,841447231,99838963,137898076,61258889,782471175,638444387,66178837,611993189,767944823,696400221,480042636,864603583,984158792,136473356,691157625,457171234,191296432,713714225,944199630,322162662,2470038,13581986,326412724,167855811,263760877,110502438,264598380,236446604,414259108,972095032,623327585,590180007,559102133,585201429,536036601,810943066,993927040,60081089,644519555,744990242,652819019,700501173,449250777,497021266,988189779,277995672,911587854,134336067,282405555,303808371,139899060,655323455,423629417,547175786,937069961,388903331,762843755,232669174,207091870,697710711,229225790,387892295,200284107,448872659,866470094,765095609,398824726,975543170,577025609,803682177,408383151,835767654,486450345,461760774,987747225,564342940,416324361,869581201,744090442,195585896,201855989,572496991,942006569,459815135,318683691,37605683,950339233,808632975,469435785,989527733,667502424,121696212,805494968,318618382,295804413,242250158,952713097,978726076,704459674,111341541,96026793,579978372,125232039,871992809,397610646,699255457,652311042,74364815,957569816,737185336,212035978,2793173,10234925,218070059,77405261,108023031,196108113,771333679,888623204,63887180,507105057,56027229,304943695,786538821,346654670,284575079,444414364,396426524,248700167,412318046,507301183,913210382,79767343,782344712,314584522,671698722,720567670,63906529,331763382,580260237,210548344,523846549,163007036,573288939,123593559,718434732,163497310,848922928,549888876,657484397,982397651,412145858,357059393,267826871,630919619,242810244,969288946,319919454,153279185,734101094,522111155,52372199,661742028,345415481,115696496,756018867,472423458,355202914,498621837,865207885,353056929,513517750,760900240,271040046,583874354,469430770,379094773,349085827,149886127,73263224,801042887,971353727,902446187,857784671,759469328,787727067,215050418,145027869,582032450,488060221,745110850,770587948,548210474,285868799,328517682,681207984,480131136,508221606,696772319,121690470,446335507,455281692,442699830,393689076,639532024,418873558,487477457,587330323,496239310,832918374,26784889,692815943,322838457,68406286,851585179,811860890,217464418,47926309,583334012,981849787,424081278,846226402,834734133,16978019,818288449,813428858,529242657,128001291,589781950,672382319,888452893,724677030,758668450,777759011,141350475,814408429,199416883,330190215,343185508,529467502,450220127,497585145,269491816,357774572,440790074,548681066,183048844,371893011,339147499,259897649,258978969,275916932,395498551,712934069,636328846,715755978,291895457,667663134,454421516,284660379,986369695,365130221,360090809,420767572,674657985,410263344,263146067,971630833,659492936,831254124,275273022,568163145,982385638,458997148,652705520,482292772,615572939,369949257,463000762,697890193,38223380,470187425,994048952,376533151,480752429,896066220,58264501,219009110,87586175,374037153,651499062,238004558,730448938,382796974,819459500,528387157,904142186,946674411,423198855,303941970,95368602,585078108,520899474,424672930,365086778,450938816,882444419,342205986,166013457,948304909,175794620,511841464,158663029,271585611,903706479,273133352,844580937,106549204,722709157,947031292,158146366,575477879,406848999,884939718,507474455,303943135,246568993,538931088,72155800,339623110,319212676,110648110,379161759,358267932,958307362,208347124,232028392,575001302,723682585,844897502,449327140,125340679,2677847,732449516,536873838,560050164,719012020,117066196,159364132,221088992,762700494,937025242,728356399,938024993,881173365,79132140,358395201,941883706,182289434,118776158,396900808,562518465,506572799,441692968,525636278,823715019,84608973,278974721,947170410,674387666,467416630,702822863,261709382,553473949,67094895,143932339,398914922,798086456,946025060,537876502,951862026,353709769,687535877,636570715,815919554,954792220,866583653,218319573,766746388,675337075,59856501,686127337,284506829,920616014,583100752,340348809,841300682,339312201,127034180,84566628,717702551,511640395,930269892,100702891,529125247,21914649,312412400,928086577,410019209,92818825,549929494,981444929,25900458,716198526,295153565,615095929,730361626,836795933,999545402,851013151,591392566,956602277,625175700,441958224,649324586,925649371,197424524,587705118,208501610,387209147,489878338,18945482,381867631,525719109,591263005,778076016,33535872,791210570,933105466,97089417,928856265,346421912,491097472,109204323,798599800,732591864,852265908,351294478,432217407,630692369,5011476,409276478,921752962,616089812,165350285,315932043,824417652,919799186,323123050,472453189,204799721,407436764,302316048,848764993,363963145,433460168,434590594,236498487,171804394,782220782,447540696,593949628,842943995,188193299,881910628,96403731,857697932,999898392,597014922,118539428,835675037,768537707,661485358,895838105,69666030,266644198,484582237,360666734,995273906,343504041,179995299,12413511,890092222,245239949,95218218,213157463,966892720,366018052,911053937,755351139,712997567,210109939,724320166,694737449,258807253,786641617,66183870,820708459,505899913,325916036,588597585,565158937,120473543,307953110,34960871,444689233,307158408,488980048,510068046,335016346,481661027,759718310,557273190,437252777,93072630,65396633,2168909,14984443,30751135,126873377,209876525,522250578,439843228,759991122,314039797,490374192,55727678,492203637,366111372,438386789,963332486,694429120,563841227,717088283,572085090,887707528,169585901,405721606,869546682,605108745,355129221,198265080,128098387,138533744,521109220,640787981,645344901,91838048,16145318,730532757,371755034,560522754,925264220,230870361,868421141,779818311,843813731,494634056,780759664,474669722,915867174,335682517,991963247,524858308,561800985,302554884,920424520,257662327,682566932,936374822,266471240,310380347,170498703,183692950,879678860,117715818,429644780,8421027,808260029,912054695,577106254,265154265,483792650,324293057,422124216,759403666,524146374,930744328,597123765,61532749,669832498,648974750,127831384,365747858,95886359,989986237,626322693,520679505,289321280,256316534,750284110,306897398,209036119,487741136,712325978,201582003,689574486,275607296,84853598,496834237,909623884,830153048,994799468,232851956,964839038,302248526,857206791,461416520,966257722,338980713,792000569,939055669,599204077,751007869,518026988,313738798,280876621,694638724,774501906,411007642,717070929,809992569,424058777,654108211,949497042,856058012,515088415,150033402,184190208,604045479,79432257,755844963,564988677,902641037,250113289,454223112,43614,642456501,368337520,781161371,417174977,408175278,810892531,816744006,680813996,699982517,967194655,330316636,22151650,402825535,512598379,376093944,72130687,476417016,971294027,287561268,342924520,801267926,612670901,131686014,82817689,530671356,17996151,681501249,278540267,834188144,753833403,623264375,691656979,17171308,530223678,473646122,401556701,534632722,655784896,63729468,501302301,865179996,204760471,477759126,357007774,465463607,379109392,160119059,968277734,328786761,99376881,841704279,557973981,483748540,13287179,55555250,625402004,149937363,334866841,198834809,33852911,215845275,997145595,669091445,331838443,937133476,95481512,899004604,509718973,454788132,329552724,662510361,729254642,867905749,544701067,463125631,5775454,417616342,838597086,670091629,328375564,875517021,141997903,423232496,935050938,214342220,934873548,584306877,952273339,225509920,530638965,785865628,453471363,644944805,385372788,367021902,356704394,434226196,366464984,361147813,266772563,775620960,405032188,374036509,950182870,150619861,568103889,398386436,833139533,309799367,199389843,332788285,845520973,948221092,559397304,240452089,193507897,780366737,378822265,958423909,766930706,502345468,111525421,729609648,864069779,133365739,636538493,956792313,377028856,887929496,139905059,885947813,663017618,682620004,961072651,425218808,111670217,587484806,491936132,810713262,66870563,512750352,119126864,942670458,967781113,299741075,957151730,865503763,625332449,714780286,16332042,839196601,417438781,942595743,308696363,111454419,795996272,34526303,793975111,6282553,408867075,436264893,461654711,618962101,530022632,829647388,156872641,187710743,970417786,71976312,610361693,949479604,246548379,60479703,42451571,656802860,772289577,14518986,195282734,370587337,133553451,64416399,442890948,485741959,699998431,241657904,58633389,920623010,289516918,623982319,628132245,324686655,207837984,142786353,492564506,433210785,831953417,685746843,842556764,206951696,206731260,249203418,668174154,543635027,502227111,545762778,620695418,952518958,313357760,597833754,850279114,930604267,138743961,425430882,132596380,30383291,374084580,410697054,702052459,638782283,363685741,913792401,123347115,461827128,638599332,215244093,321021363,476016363,1461675,45979772,937705394,639380550,172207016,405063498,414093361,449212281,697463256,446953401,397567661,399641177,795707329,552662821,45437688,888941280,636399790,437665209,386894403,609108199,496016833,287646015,571821346,853173417,334521050,550092012,180411843,854161700,637774807,172130141,473306557,681612487,352832744,122586686,637694400,692879737,591291682,981786908,978517379,978259274,153218609,108983698,344589107,431225067,283773337,16874998,789471476,681745664,723252806,486355568,135080642,725199571,133989025,553655325,789001098,417229735,698712627,465916496,128890711,932365923,442489840,20348537,379270386,721960128,654718826,880264207,824562947,57870886,183643859,55544912,871806385,307234173,674377438,616547204,29048767,622707378,638501651,42575826,794491021,254065296,634986747,839890980,153718278,81502635,262782705,308343245,150454410,489692326,846350010,490531363,610165739,185061216,909633745,732526928,372873343,62061389,936605100,868811995,376397259,21427269,61081961,590623202,83386566,770277784,530604088,705449490,603515148,240188204,79556189,73213164,318974944,501978821,842647372,630258014,797137689,242297588,831306680,337483316,984607008,83592413,957993560,319370199,969893588,801948141,413072584,860681067,482809105,116048314,332080979,786629740,121772985,297211291,552511225,687308825,637586830,393696551,581992644,854933264,602100001,275234771,947943033,403659762,670060606,413988580,724443366,535512391,234695318,294536528,580114306,473667100,154686180,194815987,59119057,590502875,33435055,784492567,565680445,48365162,67648197,538783754,27807752,523451656,81936984,716476866,76564714,76983929,701628465,797651206,760977945,110264943,107205470,806386059,224017925,524662792,915142691,82382194,74191064,624795494,465732245,23317184,995398586,5792809,832318002,8233686,343410017,683201362,708229493,46592239,889600085,391346744,693712764,985578382,421460321,799018305,899495022,169384173,711315909,932606066,407112087,107212997,127173274,549331434,165822476,412842413,709751620,129586311,103648263,528382316,401740975,889725580,759519193,259012337,234722774,132693213,840487560,771044427,408869996,346410317,639252735,526956413,175324229,144301283,124795321,123676424,942884026,850147778,657792443,703425942,388641,121438034,161285757,505869942,582008538,762252199,68467190,761693379,540902078,486788932,396987106,79480612,924049794,55517531,932001218,118323420,81699984,562273810,225841391,215324278,450212108,579759726,425763496,867973372,935809193,700281229,519562061,790131948,545400591,760138174,534717199,715562907,299164471,54709790,262449949,941957997,193636201,938484018,556684314,790642728,830955502,782613257,835499476,350615220,442547349,878006573,519599805,602795433,614442068,760561439,565453429,486318914,518558747,897194988,691660475,869738414,459965580,827276447,153273058,181643091,114025849,1596374,568360265,777838208,248214415,939142246,572654076,293714797,127585250,215102787,753244412,116111454,866651814,297331625,45598963,530605481,601746773,319119198,961383471,431373450,599883305,702058050,754629590,232351653,89083252,4574979,304661738,78974751,347372914,841813221,25677573,779670565,664323172,971423606,512356403,472045475,904238933,123209771,104165480,725285974,789654972,645203660,556542973,833307576,171009585,497911565,990187581,134569211,78256141,668549834,616112711,974264265,770377850,283930706,463433618,923306117,145452656,623405779,345415410,804373929,761750569,714922274,202706760,538576753,194921375,495708910,770207467,551934885,971870355,399191316,873340881,511993981,952024808,15967464,991863829,840984318,340722335,35068426,665027986,269576584,421989073,184789442,490460084,636718701,734553327,740300451,553853712,187881444,293542311,528727756,433462447,61708221,154513484,827155805,24662583,248824353,608998986,410428764,533117898,435377543,705885726,829633463,530328957,204163889,295289789,186615962,664728932,858453621,13969806,829531987,870241367,854031354,147716673,93578702,806507977,717387749,891453664,677772263,616945855,793614240,422967955,962773593,417104144,257595027,443949157,561511625,697535945,423220917,788259437,317140086,640742596,590472774,897867833,682229424,466191145,3286040,322360756,463155731,340016784,638440711,914846263,420071060,560456275,32699863,445791861,716569373,844238808,118404009,274633291,793470737,875877453,612831002,478611077,389404729,984735129,210044671,677434432,99212266,555957124,528654183,946372062,940568699,519281209,868818722,61387056,17179453,580340148,306219069,875414750,955694467,495935794,38727398,506119234,770184454,65799012,733658408,491521380,350513747,942135894,673462299,133519114,954360097,159382527,483507782,232026997,329447804,539750538,718822257,930205765,414553174,348770025,923940396,910764897,772069724,312804504,963270649,393704375,348722496,843132185,846578065,238537683,374867953,781497167,428140821,924784363,788810705,699801749,609208482,284093996,4841993,202941407,456683576,347922901,552394559,44348543,376038478,434962180,136766865,961571482,285039048,776735211,707825865,985816210,472392173,228075409,759065925,372412296,822877538,723929673,654629205,595097851,213998061,950254485,425270556,928896428,684833265,222829854,869698823,258978845,30359610,380197016,533078636,551011009,797944108,490252043,324941535,99343242,291253012,958108281,214470748,999776105,443717896,972165388,290684236,685281391,641344667,672862760,231413481,244287049,211039333,821458999,839048171,379112572,929163769,17510751,916627320,33312156,461537528,379441438,949035690,31249030,633409942,594860507,371089371,242691666,481651210,524772094,93040546,227772914,988718422,838006517,465077336,568222577,101273288,385433529,607047303,732634826,70054198,498495849,579073114,72815786,723859431,314954920,947694418,377829628,325596677,897618957,406212686,976495119,357751523,849136431,643586696,903003536,815051188,12641752,670853784,775177740,476881609,958465789,215316849,274376079,354055668,588790232,236267761,877988149,352588320,226212203,382128129,569246807,330814637,153966813,504036207,445062820,431074388,658722163,640153769,203489672,149975235,997608347,740535378,835239994,469505316,698607500,633449601,351552265,838793348,455992601,999578770,173174167,854569504,87226380,291693081,912116389,319858932,74190199,536724871,938076228,919005043,417569782,519587181,668222107,857958197,725224235,738017825,821723288,366792492,510883716,634435156,759563938,400585911,97940889,522928089,191430059,17230388,537893800,805024730,669064498,55267594,893703880,643761884,970251683,849330385,308594921,728157639,381446512,687812549,383805660,788042453,229884002,60798482,733122943,262519653,616174204,995217253,141226324,986127160,284085874,209313203,219724967,438750232,295998030,693303032,934096628,854194175,764422687,18643011,442279491,484225500,790428137,764602025,327903317,808009378,560360004,197408817,26776564,649269144,505095170,555886797,974323566,300334098,901184289,113438782,418156785,399172642,497022088,283066583,99694225,754493533,4626074,397334157,268800401,494661111,225974292,682167577,888525629,401494760,665252168,469677720,830085621,142771085,466856913,325449205,69342485,651545484,150810890,994639298,440247596,520889768,932521486,874116308,650958254,161649247,620555027,549149914,234997699,71705103,739600504,32530367,95210306,683452818,784379630,639596358,789792380,466181360,72828722,899667307,744863366,994931162,74493590,270740105,800354380,77604074,135386577,560841760,585631463,695060118,232548117,791299059,538151673,734135121,279209507,668173333,338792078,968814800,81626120,512042870,651222164,915125029,735213630,167477314,406726827,752478031,895178620,9997475,629321996,833524832,489862241,841860187,920706301,490013097,14122966,284077980,508796954,410881166,729462168,607862465,821410572,211771836,861486524,632549589,421276415,786993019,575964929,597033708,177969270,218707697,781769451,463121241,90535066,927344202,770028211,996628732,383143781,858205208,29420819,617365603,145136155,198875222,615580822,898740800,772663707,472234099,165151568,443368163,211968138,451245898,428075435,165679922,113344164,3769855,256653320,133413631,727469610,486098748,929334483,639555445,404596006,548065924,370813574,341669324,602949654,380358515,96822051,1118486,955916092,395056355,884860820,6242584,442811196,812572264,251842308,691734781,32638324,681779439,184437081,987773983,355271956,876520174,406595733,701059084,489274932,157064002,850937718,507074627,121735021,382612933,791755985,328727520,896650475,588363506,646619326,699859986,295954559,834581413,243407255,665206123,897120812,957834345,305037159,307666379,605404139,274462227,948929917,136731124,472543423,174276837,641696790,801595518,104336176,253646590,697319475,648842081,559902726,604182215,340515188,35574323,866080631,949314673,404499509,153299264,602402663,373360244,949905973,908560456,257336820,651656023,924285265,222579498,602856062,392357233,820715156,679150839,944909752,201402736,202384080,398979465,119666651,755090724,655001157,473768283,454874096,960019491,969051576,701814879,27311654,520726070,616493762,198470870,271619428,519113916,567373459,140374598,443606072,126088796,313639336,154154570,535744725,300206938,688037478,840720462,856364404,26844060,231464148,555392595,359412081,263165960,70702783,586942872,206829641,63642528,50443961,174809771,921917196,177047358,409891197,744846198,8345575,841438745,809130017,180412223,274114380,427735312,736725133,112327009,511326341,183181306,770868250,468515026,707490145,781410399,400277117,680160404,442077734,514067810,445439973,225787582,343739749,387253165,266138195,320647158,158291461,669299015,995450661,969909759,146401451,77668703,666235744,329678966,51982323,226685844,676867557,280273550,208041703,709663427,287045650,425345898,1419665,486528884,745518479,497879972,377137535,503374775,255720956,227903624,41969282,286855215,511030851,606418448,208380838,897597973,989983803,661769362,483923248,417626442,284621584,751926330,296090221,646720605,444924874,882902277,427465935,225319662,398086012,323837887,915753333,945679534,679651724,60322251,150302013,67845969,72569382,243891548,879874884,138719871,936435206,890886609,852825054,708069430,550940926,932052985,855032299,368591102,640019862,390698750,193507395,196834733,622074266,126987687,411409845,604743306,365411382,460884794,258449759,242264399,237604742,874070633,322017826,192571166,510958501,778629522,590984385,382593067,210497301,263658383,760181537,993102983,951158322,605952329,491253944,911150791,250995514,410586035,984374254,751149040,148485143,525178075,484690925,541227806,808248307,149813515,114009163,893595037,427141771,219671241,998828348,490171770,865853087,891377259,102490793,75385506,231389788,181241267,229091804,121846366,456833835,836131835,577639435,293216123,330098476,820380636,561293306,289059809,462548246,202234955,353976428,96170721,232461330,267076346,373029426,917661456,333864179,656997944,530215512,238489139,341518824,548513016,222542320,478902131,826357635,911434805,142031190,458879636,146481294,663899257,902994568,173084382,145551260,555907732,473868283,900963359,252924287,980943230,262913852,609767902,507956769,263288185,725993154,37224988,331248183,444569867,686316938,503317446,110753999,319594477,26467614,106202392,264577672,314043839,271461966,433787989,825293630,754367303,583320638,460296893,589812197,429561124,518683091,938742938,119412706,374165363,938284209,305949983,804270010,574394643,991744311,118443661,822879414,328227190,910036176,17933687,703760776,561289408,177049757,684934702,914704245,207001642,866918731,823178253,300884385,562530673,894888474,910244844,801151327,647319703,379453284,123445171,176281675,494467837,942048165,250332363,459953736,440588952,896721180,175107811,54092084,429556569,5843311,606754169,100100912,749292426,395672109,256915470,675549833,278599767,827463273,205778696,370152831,954397288,2164284,567110357,473106855,771994664,714608428,895042302,557506954,932448618,721137930,234869816,501862426,735547089,805023335,747757381,689361061,533458854,237647205,821818219,41426574,328475030,99495784,836698770,835286273,410322052,984523554,58814160,80738940,112189037,828986607,945517327,819555420,683393828,294570418,735516857,914859422,339363622,56567986,730086057,406731681,871977797,625550332,778201973,656013319,127922228,769992406,685136657,266053156,649667035,565278183,60696089,30818042,679111362,740685406,479067710,689859720,988885107,722100653,755827653,271051363,252810337,844530659,589680383,690086097,565648112,543705890,167608035,171833127,131978869,284792339,597313695,996716791,318240269,998940055,977339257,306408485,608957671,127164840,796665191,245245236,498784847,193224771,475805254,339071655,627409825,390653256,802894785,789937067,435010543,217239892,544297688,933216027,183063337,623802049,466710905,90157274,44544327,438484299,130389846,78482038,635189788,491464602,271858489,316674054,80818423,827382936,300282340,937879262,973575199,963836998,577340561,870558739,35043234,705638627,788801211,416353104,746577685,122470636,161039091,149250509,795299898,854803459,580148041,218832186,758111499,866919925,560304820,99138667,304103801,846468106,291081113,578967674,957899648,536051432,837572095,994298351,248835685,826798370,529669552,610699440,678600867,720621194,202533857,797090424,819840461,70430494,696059918,684876147,982207358,750507000,185901059,95651986,649978527,816638198,160443269,827910783,778120241,745249043,591985312,109083386,477751891,984513252,709976694,297773412,851524947,681053614,780899882,445100108,501998733,320622053,351416832,885205159,73224995,335461910,565216084,861169419,207633613,403287215,74111710,286342053,292022703,513527225,187584824,133691723,499210600,213443258,287471122,618393242,738878188,68938031,383425363,613406592,372008077,742253956,775739693,26905992,630436120,491637199,79810719,826872396,765664145,756001255,810916261,563901103,702313094,51720547,36752729,631293777,868634755,606974473,921875943,826921024,413858819,934407288,767664397,667206188,892320422,440717390,22454585,370729048,507540039,648928118,953208674,153422897,558453816,504370340,339062949,775367377,886597678,229207474,359999767,212504605,329514343,521070166,584691212,522097630,730005150,573159893,580693080,170111128,983988501,753808708,530703933,739300643,511253787,337731073,998135795,268398175,291119040,44379789,53534450,370608071,687487187,463754231,756637967,54947543,484519653,664651257,554403348,962917791,132434921,996938050,856629197,62188486,430657152,960621340,546370441,423576078,90983461,913272721,260585594,949017436,81799541,98457753,382697235,516091999,837529383,354168323,410562672,365610323,466594698,60086798,425769179,118004119,117673719,800871825,854056186,189130560,267959020,203337893,585359150,528188684,979702187,872766516,335187621,572539606,76300765,758091312,826040959,415544877,920007767,751131862,413309020,902212650,39852873,421505984,211105902,482979776,99264944,237961538,454133948,448477408,261957290,704682300,502543717,722587503,741236490,889941655,748929382,355129153,993908356,386253100,376162772,155936180,964753134,55319350,143651904,959500652,307388582,960796260,606856621,318252918,994909220,105127913,318127686,799498817,269695535,177855059,374334745,101091784,179714580,534119571,2662042,505599163,303240296,748255283,485523776,97067949,517300224,225825648,137197996,58932629,491265072,411585349,243238379,471830434,403795694,582371192,210682627,459978366,730496243,352447278,311870834,435709580,356141122,104290588,152268445,689192412,540340939,534626279,562119192,413011350,460847845,337407045,703427412,196425942,498543882,509698972,351204807,19254399,950074222,60481259,41783015,78845838,256144984,179427146,236688369,354860826,670209283,117602006,662134056,69062043,740870758,709944041,807363351,432499275,388460379,986157557,850476402,888686808,248355584,829545927,730601385,452586541,952048301,331345140,690333466,705933849,160462644,912052275,441326150,957628992,380564357,177907216,518045293,501584658,769326267,2354527,74765302,891332527,681320715,296975873,110672121,61462801,876871907,685445422,4464673,29779098,709580428,46414917,310656980,815461442,768858403,54152391,489389243,890073646,455533508,696230023,156008759,492306516,496724495,320187812,87045073,738092783,502597072,513166093,42432789,111620166,342011923,692512176,207560766,771364723,956617771,567874447,604943608,868326724,725320718,412038251,957229689,20059922,156771823,531615597,377845091,153296965,884643913,462562114,727234276,968921668,869764333,724395186,312868471,712540966,174103664,189317693,897242971,515410779,254781283,450798394,873892950,62033777,847758349,352819556,817200848,428736930,764350038,780249694,567118560,916654001,403365416,996621133,390785595,206792668,804141086,100851526,914001120,557464861,455942232,148082850,320184729,836790673,296551729,16576373,23496179,54502873,439838260,294925297,79819362,622115519,60978142,493042697,143112142,13543209,650593766,786514394,70620262,829768261,283563898,304002706,327040436,112976741,191284388,594973539,34259798,531628570,812422387,293752457,261783231,482201721,304258099,204108154,913599340,771564423,614810393,551875327,552856056,486549859,352643674,489382476,222203947,34676663,353345602,405567283,37740605,719960226,731888158,540640824,616047759,867338996,66868419,811895180,528657494,583178565,954867971,36912817,303227950,681030327,858082812,876423342,472599820,732273192,202487463,160761547,143399114,64440160,938634614,89743644,11624246,550801273,715237723,349025082,312565365,347772011,343653802,953487178,146998113,791889478,422862016,32852289,236239741,982936018,928162002,46696594,966825204,714176533,483897977,488149535,275126528,134086093,310840895,940476028,503605009,283398146,285418422,733538371,848939887,586540347,566607436,73169051,596232300,648502571,504156304,716327546,365400430,165267403,270668493,110688632,746841988,826770218,584808155,629840771,959857660,571115888,419783503,264771973,559932797,713272185,327059055,491869853,126870212,943624357,341523760,881776263,197709695,563533211,161991913,596081138,936847804,880883051,763894956,649991543,202432193,981229383,566540972,697875864,549769751,584793347,87872993,437187257,498951566,780374348,812494860,198364843,112236126,4434574,26308296,284809245,644265592,716574721,469809694,47212815,930293702,769816223,851524070,974557707,417927067,988014075,548894841,944934471,534380646,916201076,507742046,183344156,555003962,730731882,338631254,213456991,835848787,463135004,163719207,547583795,172018018,551463748,798642454,241294735,912689910,327531143,874208931,881209635,927979016,155973364,382575366,276507351,717305005,235255131,417722772,301679359,238171167,196467628,991079336,355352441,870684474,624157850,58826251,727523258,571358482,469433131,381156092,918402430,579019735,123760131,749017982,7902194,72020105,17229512,848595009,296674496,789046217,926955835,273930538,18623572,716460555,132658981,955901730,28370841,845380532,517777163,792371242,680710926,249267160,364122774,134338990,740494115,173915097,659543286,1485915,352617189,849143308,35220108,358992585,483078019,750079469,50382622,552232343,47514277,744390590,204165518,273089341,949572632,537264966,802513036,992183283,563255606,234650509,965216042,469195486,743664524,297681891,592837399,381502985,401408884,573590229,69807257,789857387,234632127,892790860,987228509,562062125,353072107,303513245,508343118,861457663,691259846,408040444,105499650,975807021,833229321,826704432,231459788,110374165,359794964,795020559,885788309,944409392,281026772,717644537,142959124,47344550,397053606,143124640,331699547,947549452,302837089,42070615,634262406,264289754,545486565,711066942,795044404,322583336,723693266,717523301,486716260,262864483,403046285,252218198,455423920,70131662,183838862,151325702,771592565,511425883,478537264,836619313,436473956,514921220,979889841,213928783,512405017,638014610,337357992,303167201,335471463,234275375,722551790,97773847,38002053,263456329,439480896,402944023,180297267,134721440,170909688,508346464,251469673,145287981,721450817,838861921,696240752,326178725,51109783,447139878,921621522,628372391,448278910,38552630,701141761,970994769,44155232,96112281,790563874,260165122,698261937,362410678,656409726,978379578,177760713,367373710,204255750,59702440,99688330,438494480,806598393,190953048,350801135,42704133,725137975,32150981,413273570,25375826,381388630,80106413,640908171,689781470,348988253,745813771,573398239,67501696,713778019,995042047,162470258,54748706,710379897,507429422,643332074,969025571,217696222,27342122,318211121,915210972,611154364,643439001,959481397,433512782,826934947,161178457,72551132,753420119,771258215,850001796,450179159,607495265,497969333,418343914,881995633,11545807,804327193,387454741,148522831,271320338,875179811,875197437,727507637,522804663,3446556,514217354,818476421,359153621,143607968,211916325,612499820,85604557,301288365,801612197,964974767,342097550,538901963,440973359,807146163,80075582,320052621,979660077,397206430,62423570,248533194,927327549,135964089,317354882,725939951,449709189,991849147,302323154,845445725,877710623,48745123,281960231,351901037,394776954,877097293,652275962,839063531,378191472,581997797,282350815,265370047,905611198,710594388,158936117,865801692,866585384,390245912,787349240,500075554,453923759,782912311,371759605,388331703,814279542,689597862,611375634,103378527,714982719,916251166,299014930,912761223,946612162,100484425,299860204,493794850,27972709,574551456,135006052,618085924,889307304,563797693,897709078,76787998,267892918,335610078,181719055,350076104,805118734,405784662,575796573,950324999,498749742,15908423,678607014,158693669,387340010,743336020,205694108,658260049,240773263,567519358,733797760,459076840,108551197,551842044,821441194,650986461,450357785,792989760,32620599,182038843,670129088,126427264,418769502,444468600,43147711,652638983,610421507,49792595,875380084,695801476,726743202,46818457,853602206,188362529,464197583,177407883,893033934,980403255,759397935,16588686,796941254,168145411,552900316,590180409,389212311,760147014,914040915,255640206,964621421,314041082,301159850,990913388,823242406,224150399,511663028,83794996,725258912,982255769,387301512,61044918,604206715,6560635,159003373,876065923,446458685,575819420,595707192,515396707,977399506,46243335,678188680,861252723,295499368,2403139,59428282,978041180,841329095,838569452,172413884,686592205,364878866,903413213,540325791,628297897,659994300,14327929,92242101,704084998,563861770,888718518,486453265,843416941,923148550,596845218,168014666,937261383,434164362,460076957,504638254,781029187,500031230,192344848,905126583,801164972,36962633,799009782,714834576,598872362,394999835,708517593,333901620,95535125,952630806,27608092,293135020,494720277,133660921,957123208,257324240,413915064,130731254,442856784,303012228,542439690,735719642,298099117,200171449,736276902,872647012,990034475,62094518,325971064,41742423,931395718,989550689,773128436,759777896,890389535,35777385,143149843,405263773,437817131,676086317,998863129,77826230,75452282,794677396,905163618,255901761,621933811,260169603,660151089,251332905,578717666,881444813,615405590,123720284,529124547,770526156,993872760,484469853,572811385,732782192,258758951,732396703,828635931,548055559,888768533,727443345,566718095,677814307,227924775,190101187,243210363,359218445,214159932,813589143,896351428,708242100,880178317,511402059,228707181,678425026,936587129,928103065,643237395,679554959,245576905,772031417,499476389,637959694,961913239,883745675,511961423,989622873,98185944,552152707,455826834,458043980,963808855,975911847,746007704,819155874,878642872,695738095,618663713,949279228,980100962,793310588,121138824,769838415,339332915,694724109,23758255,841431865,813624776,899607254,943905277,938634110,684112090,110543979,146741571,50995361,293070168,485327105,308561943,757296883,875128196,96792046,269805462,735719240,87242995,644878879,316499840,369383257,715063590,522365187,69370398,628879089,403054925,929626750,674766610,172236677,794064729,604488596,922916520,72737291,741891931,972622550,402549104,786486198,287508226,948988935,113987743,582851672,449940500,763087817,367676502,195273923,352049570,24825186,141433577,838274923,596323450,471562200,517569326,760050218,28926339,778042322,546981570,127491680,862255330,29867446,394065726,195911953,781401443,504070639,419382622,736500216,750644628,776402254,948438021,550482791,183683835,374064047,264930782,996142570,462216985,159698236,534997270,957659958,652435467,385282047,632702530,686636003,496329990,588308517,306167660,915276882,660264085,261206539,529577767,526043379,960527825,371472137,143676938,468687928,763070459,900326149,747698078,960890996,659972215,640638845,932279137,680389901,432892663,962683918,236756674,778051773,956869579,1864928,176042658,941338650,113407588,598546948,221292248,862553852,817497039,876630419,588138775,486586696,530658755,488754115,925026579,748713072,951595903,141495507,316806354,262928959,686156531,577060825,620020764,55122958,250923065,151216116,69928311,503298422,658333042,357841527,229431227,600298001,996265243,584895494,318657894,879571698,896795154,886208711,289896059,434529256,366654896,685369052,10158723,909205214,763208513,652782790,971484869,780369892,617642165,223842894,135471044,150643872,588884754,916035068,773790979,658913006,348128187,835334282,469632201,896883549,225718400,930694631,548746683,126220038,683787517,412506219,233298896,167805799,337681339,280224351,667844210,773517688,63351775,987180971,321854021,923154014,336248902,900068433,303905794,161353114,938345246,41175877,416314606,752708250,475789286,632730991,229233958,740533274,72765360,70184957,306187474,295147514,845469061,699516525,967305005,273040619,234392177,518780922,993147839,34470897,430058336,965412926,155696676,905855881,640023894,692195872,547009835,640942550,224326714,721935623,714643218,722088582,873585914,540273932,473874320,349040499,117943897,687298970,741273642,989936930,202009241,438385979,623982603,44218362,849356684,368584983,257509090,41556264,703173890,397118505,489176745,94049903,830648559,237843559,156503529,958454600,211394390,81836913,563888047,164872458,550543095,548873346,469194972,731584198,557556445,950902226,604221875,263103555,41203706,703440297,815560508,362997023,47327310,213268570,198239150,686234695,828177661,254018183,847755255,561459186,109893133,527528842,548232939,996215599,381073207,47310263,778461447,724775851,137464861,398507028,233902132,922365606,443949593,753912916,293083426,320370985,165333391,883445137,990945525,728536063,249591004,202500290,604698034,264843630,775305845,100598745,413088633,597646407,509158444,257792266,107649747,409731741,22114873,119007590,135556896,485923556,482017091,61925401,80733447,521040661,960358823,573433162,693326284,587229693,577398563,770292102,442548455,16186533,815007675,979726830,11419931,918322745,222591662,149499837,692412536,609644521,666979184,14307163,667354471,343122859,948228710,666778160,261443494,340746107,901511799,109002019,773147263,45977041,423016367,853863415,820303653,123329754,396563912,371167663,5174532,591171828,612946599,655823739,799022885,221543722,999025968,427023907,616779060,543906488,964900222,766265513,341183172,504675079,733475147,618991188,684419770,424705378,543362883,486796195,755850608,319341040,28895222,493750344,127371669,586559122,763184998,850335179,745631429,738964534,724601597,535927203,599840601,779771727,86462472,523342504,761368795,727686122,293606588,979292766,229750365,562688691,808116415,293770669,441142124,663284380,250589369,122452513,533741283,632056635,973161809,825678961,737784484,228636052,70787389,938786943,356478742,497536600,905171869,576763735,668168745,303524093,13728102,568475085,130340752,151682600,122756996,774706136,68116481,11078552,311623321,796971660,802195981,714738303,732069753,495482396,82680899,723178060,920016478,660359656,284338357,934260049,750233210,442501992,145277922,787106515,556983803,913098816,160657621,446512121,838272604,542632262,804053690,131442646,705329977,213468155,764236929,320877037,381665354,731189516,628434050,592667030,766967476,728109825,368906849,798029692,420832609,632033476,800727529,282253708,468786234,95777256,357452923,270480590,754484317,468231130,938856586,897804419,533195164,818633313,323041572,92406074,7348017,624860376,496061253,925290011,955328203,198946938,322323360,124747525,190819177,22684122,499602772,419448565,641227954,662172938,703467210,1852176,679402470,766491616,853870808,373406034,670829864,681511546,205518726,326725184,275818422,304521169,862566852,765511949,59425234,547890217,916634345,260341415,708066847,641490687,104919555,314952705,150133418,736205191,252950931,701605690,139056781,143679253,687959433,349525669,346385928,147660628,700838464,767943134,671065992,751008901,150929656,269609358,535064972,99766405,848970262,264371149,335796848,719218818,9940227,824290150,986114192,808445529,424904670,324279123,220351840,324290984,833970024,767665757,559241827,185165582,140601521,371780144,793231567,19894892,430883585,699991969,889057858,78929471,149634271,135069669,120810408,935661469,683389647,959037732,778754578,400424986,817760206,280428126,214201670,669318707,714734433,97333924,384127674,345122746,141818128,541931210,985551490,462789767,478669034,532793487,558722969,864795904,725225090,353538775,926719358,436671202,591282431,162099606,998505748,128994065,908107409,235558687,585367523,687337610,977404339,402638533,710941136,752780150,424407648,874828482,919367474,109746069,619604742,842015298,534573590,277644816,776422371,44957069,153150338,810400200,521917051,395006583,640896140,732232983,11586803,753322675,599272868,279864049,695356348,380051579,746256011,184162653,818432170,378633177,527723407,438043093,425184002,248857035,240253943,544859581,974319774,610800957,995837925,967977540,241841313,707513632,770945505,2773393,617972447,524660504,986559697,614537706,109843413,840751530,800274315,879427851,636959428,464854741,752595672,600003994,56520576,760893470,136306590,876395109,692286217,502841047,423380576,61090198,894866861,560995886,214348358,39884570,712571316,425079536,694569095,704361322,877671755,831089344,159204254,848018792,330229320,965656881,690165615,985303270,767209802,696087630,904657214,142984579,542793650,715330369,414910452,250382445,42810572,986162704,990023361,164643856,101797138,602476779,336642993,600318339,313830982,236358810,205323882,638712614,771922573,588916727,845136229,536523287,192579719,841630137,217180380,119603173,833597815,292095677,320102446,14905830,83603725,186390955,725883945,400795847,144232290,211174276,19969981,773005708,231197211,793221499,110039785,255782499,229367973,379108767,135023214,403590337,766536063,318087147,437306221,443159520,53231197,187914733,186485914,947430477,824880312,99845325,586310739,147880745,757689942,480225865,884196104,724458463,437300611,528418070,794761615,81053361,260935829,433993397,486730705,409208184,227898548,166952317,326203202,804441387,970435240,213109729,299376038,608484533,614086434,569726618,642417041,939807507,501528654,521631135,642174676,768013133,32664160,284562482,463754885,528806925,734919163,474628748,601194090,249544527,771510533,645822504,219348256,308851395,487048350,354027557,529222429,233041875,796744258,344722296,54456119,966170966,444614173,106160788,92379911,542153412,932589788,21084285,66689461,435968342,284961973,294348860,302741628,545766375,274948478,658770497,372058635,389839982,814102898,763128115,553904866,794171112,727875519,317183668,521352642,580884019,830802225,985392151,797419239,629907440,637403157,418749339,261634107,463480826,374311457,479057829,140194937,40370952,300461749,389921145,282864210,471704331,622484842,907092139,919889922,887950227,85008962,124813194,562004291,897476454,993609390,404455091,206455668,243914991,414149464,64360883,318681081,848085621,681839858,967338519,318545130,458081651,209603701,917362653,564129151,833454844,58462927,940068900,833518678,220223820,339608426,391518142,299640446,769413547,495099294,401146699,507155190,118029580,735427658,677145253,855991427,277340214,679562578,826011061,266456921,265927684,777632559,810447415,643970436,372767736,321921330,451658917,867577908,181474705,683271196,279862204,789125808,298236469,986691883,930082443,232896174,298169652,367684932,318634145,798891381,98818838,705157878,167773018,75154030,202385048,315947231,735818772,806517444,330913934,797794677,396553846,136074564,101598923,658865658,351358164,727537208,925896815,73336052,316107707,616332995,929450055,994943597,997132741,723060435,320006446,374771345,335247825,834151687,498083513,701705956,386598606,302167781,675221844,675117933,578222047,737243707,704885387,739217281,809988831,390797612,745954865,677885937,391719278,666004980,642750899,454836291,964117552,762298815,535051889,79469651,135488966,935527747,728181968,598017374,232778268,819798847,701308356,657166794,647647231,376664798,300645991,741459030,861564258,710762354,50971726,329060413,324196205,626600453,608408865,772816592,407112287,376708593,876193677,886854642,74760775,35784394,712288626,643612706,437347958,592694728,578940060,390272813,541448221,875382927,457952254,322453710,408058610,566599132,18886587,743645638,228724009,738709622,850491059,744659002,294186725,845792042,925495606,153124415,287462864,794054943,195333208,322361003,572593617,86804752,66769471,132085725,308606842,614117544,361700944,256597380,144681895,272949560,6859641,307359239,533564250,496470802,551335910,433102387,45805144,885594589,455145636,32686903,34556333,176412464,884193066,482503837,903104170,442038892,37281303,253761603,419253466,966537319,439651181,228478121,804736847,199182714,309477271,815705171,511124741,135187980,53348787,14619523,389280165,588465017,304942713,108788547,572786800,331692029,118166083,533690604,962043242,530590007,211766443,995108204,317883054,446335474,13653370,151359685,43405803,702208488,474292709,866748661,410157439,311602955,642160460,587369861,536644904,440559880,894780571,79925606,837947309,905687497,253322863,268972503,118232929,645801423,97235104,380554238,395002598,470194092,845062624,520119405,50649832,481785253,725124531,938125894,391603298,266153685,328188582,472665690,893333876,86934475,174029777,454087773,874963800,991495711,224468844,872581620,651803981,523586516,508438322,823886942,816836362,840054325,963670520,900145393,337063505,333570810,182227852,486169920,600941438,349268875,156123866,136390574,773664267,890005139,945843524,618995132,848920491,152661243,982385936,363201339,530140041,32290103,93273673,559952565,632851955,915567826,556840431,458635736,830120820,670525962,504513389,389372953,718326486,612056870,665752457,211491411,846779777,824718181,495924958,692398841,959054757,23557249,414022349,814350440,425282957,80292023,199274393,224843545,246520811,206618574,992652418,612469681,408484592,376838628,38405177,778505846,151771996,904547726,19727132,713202228,989466118,430267299,977421269,691089740,376751903,515990152,650376375,861894823,145115471,55672274,734369547,964193207,468953012,445495317,535704766,408699544,166283998,139941389,237212303,447265928,616581199,574107788,649982766,883967291,36274920,627580659,997115144,737259321,84091577,715916418,900775314,578508115,208560649,115498904,265565893,719720048,748950174,327250058,106475586,212863650,622778591,30337435,907043881,997311675,834291850,964202613,507767464,829570922,795307828,494170145,108744165,96938833,513387679,461489248,696110062,170139187,3227602,188419447,496815981,857654973,259949843,360529700,301037714,210858298,743934717,766306082,743378069,882730339,502774557,819756889,639263650,20626285,676808621,20354810,641918017,736814330,59789319,376067608,358490539,469175327,63404781,504772403,586790040,565798435,362711253,752184707,951541265,609110988,463690330,755539008,78066373,673193711,139748648,636283218,184106540,267258503,15263995,601958933,781284644,494561805,287653110,590253963,505752075,653929099,127063079,589447023,727395196,730111825,952375782,248930184,749255835,982449204,747599487,870611105,360968813,552874133,201539611,594720335,346599828,401045034,453592701,86757586,952272348,366218126,519317258,170437409,509156379,8129882,489170057,510178445,542872261,983045333,66542734,179668892,182339457,286072885,522541154,156717941,436268971,981623728,243445503,795015877,43936776,625331171,538984196,365219156,980305313,101442336,962398703,429336051,253548586,353754098,864657896,663626869,22800267,221718636,842227589,904034798,662689385,863239320,251478649,83530103,267225908,504095527,366659290,986917293,378949772,573918055,804074442,28963827,877801936,134114486,683582861,986964220,910531177,455811316,412804165,952817834,878699020,155980752,791532949,621904697,343576206,162766437,5607776,553591409,461501391,47614227,778357318,483128717,159409865,838757241,332130875,338431934,279874014,111336782,230379611,145468718,666095199,582843105,138164651,384220008,224690943,219604087,913653740,266555964,32825627,675131353,68910217,812466110,407644144,733609521,313197533,670180321,291282653,851322428,842607525,69158326,644683224,895320340,196982786,235702588,24974190,788372399,408003321,126442540,359616978,611354299,983763378,446134050,336699380,616577570,871189094,326474133,810492588,909916585,395807651,916566056,13413641,89832354,799073494,110348738,938972123,470874532,964750208,854265487,660134753,708790854,688918173,138891916,886382749,223659308,329224850,337793546,429982678,637264789,236351526,179134911,641404727,813049033,897176197,796695739,446597720,750385352,349207654,370147998,145231668,90937993,692660077,895878886,848808502,739870579,549181382,178374293,449736225,47741791,77945718,370737785,556076713,208643494,429788360,32166231,223354216,17220225,774782561,18161840,626404037,326918465,21158233,289135566,678438564,465378370,457159316,273108098,533518841,269648071,706486889,475718713,388581831,69773757,312978516,234047424,551252908,768791974,290950419,128361396,221288489,771184635,109991697,59034412,646574489,663064871,134020825,900619915,646865896,314854956,482429410,863152067,334158461,100422004,374804504,575883956,939347278,697044614,563802389,551073818,68406001,80560985,447397234,46433886,361793631,9922670,510111369,566426459,640523265,983318793,831528365,637846054,799921018,989381502,925350665,205751204,349294927,950764778,960347811,74932193,754959053,953937891,431377926,599696603,934568857,69960290,673938518,478937548,876173022,947758506,368878899,239193094,859414828,670428817,590208953,966311952,366046174,238501698,758610045,175376800,497086777,353332811,690645448,373785761,62249379,263910698,41659919,768985816,259526346,581297435,9116755,719734226,188398697,978270757,199170175,606529753,346838945,784158581,186420207,140893477,492586742,702559751,507887020,582854242,842813212,58516652,451599527,609065459,755882003,233957277,576993846,85620898,74056383,288521624,646341670,247577538,336048000,163310897,607926585,948549899,195578539,787853801,841921349,504189152,506939826,85190012,52902058,308930491,961700861,790508361,204187681,544832705,212112639,621873681,819683184,784174519,59106329,925738236,689909544,231501733,963501959,934153605,40074772,664380679,118367355,839889348,509277770,8847783,136655527,493080778,392884551,488214790,73740874,228863003,979105535,713021563,509867357,704064117,663027828,800423748,545228551,580665472,322418656,977245905,765248190,951015523,190331532,98038073,289472084,774789763,809720008,360769345,374928879,799501989,613666037,328362611,977121845,279586948,761518660,104593005,428596923,500966732,122461611,133416156,531369538,441579339,561087057,541401335,484551478,962933909,68828815,936262422,245192795,302108729,574804815,736772182,534283273,164177857,25870604,951483887,588166945,589931645,975390755,872467997,599678330,464797505,817348087,376252548,176091685,989508962,574577914,959741275,977829102,181920390,770240365,535067416,508163218,472321680,591967885,726403076,470480205,892244149,745115632,809117891,840869599,522610393,39366727,621260115,717342009,462326160,382647137,144060920,576714448,347349925,300746360,149577339,36076501,361008706,249020640,980626600,636806777,474857013,373943378,972747975,936227862,782525928,520855724,706109284,724031189,621285377,793941717,594439918,596022720,423053126,715539454,658023840,981037499,900853822,593076953,312938548,621751578,128577187,868964449,370300345,204233601,759407020,730487272,939429511,760360169,607099419,234153769,794403822,973717478,712319924,825817032,797810328,58866618,728749947,921727999,712719588,941390903,502079886,357537801,34558441,839903620,737032587,690314283,184292713,566645704,748997692,874448775,895240876,924336378,163030313,404514069,755798542,888128182,230860570,650351870,859823840,588641293,963381129,586188270,325491592,990348641,550024371,346105434,54338953,793847088,590837772,364789743,66517391,599678650,404648195,986403122,400828672,379826444,93073034,798202695,948199485,714822736,420265248,292025334,852670803,119652695,6606489,932703888,522556738,833677381,762788956,214181591,315978937,352251616,955740766,947441999,30237661,466782735,504703568,41764012,680117786,988670382,349917913,439230303,779641867,238176247,323670141,645509058,43437344,14838556,662998229,939103706,972738981,748044544,713008489,942955268,35804957,825012336,831958908,277297462,656991762,388517540,94607425,706921427,839535921,136731811,701997233,777391626,380426638,231791464,364306933,224630061,985802659,556848798,260432290,616502258,923805925,802796589,602764088,402465867,108075762,578459907,411352971,638461704,819914019,678700331,119248952,730903122,577979127,962072683,521973496,729988248,541877104,913177136,400208668,347035522,529595463,251424564,533313977,22475977,106957132,861872378,995192314,447261267,658190210,532692232,620227724,566026272,24116753,998333736,11501490,670680749,329768777,149715320,794868264,391746953,330068789,307322419,249174033,394267228,233279729,84287000,729892112,124624239,682906059,551094950,716081689,355690625,67015773,895958517,144628419,814004160,983335457,216952369,714948515,655707309,849817174,515758708,92191059,246444143,242776055,801707408,967120967,536171252,285719234,198404249,497392979,72219855,973161060,173184891,71824281,856813078,827102161,158013431,655185139,846195372,850895874,986407185,987852535,341770458,247410980,566673889,96060634,646113030,76480317,784602436,735448001,914843745,518308140,919120788,973740814,653853583,390656106,561738876,414030318,801746413,868651505,406778313,666991066,336058286,242661779,174787314,354954591,523429725,334257202,805322691,497841642,423797828,335242058,514620193,779657426,458600046,56503647,741670705,702436589,904185919,458162468,616550242,566505940,320146058,634233842,892033784,677431498,329374425,528469945,101644620,541245319,362323162,862548172,215363395,339856918,769333535,465965061,521366376,798224113,603007989,283873806,652484383,85156567,253390545,566617675,144777563,388755797,829554604,795086383,321652635,152023942,337516377,182885998,289843418,833943168,78822898,619646641,925518432,418386802,878701817,113022893,768488409,847597656,500390984,973929644,611932748,861971546,409973463,682697733,175075390,745062616,734111998,659729631,85827156,470581355,317215293,685419000,850245144,512390821,623610047,197636379,78913203,184307390,445651469,54216151,373746002,814057587,636993994,510301635,75169271,801241368,521360958,155608949,653318400,735070407,882112988,234904159,707451243,165607957,18298824,644464980,836669301,458572658,863379402,607893209,303304990,400711305,350202415,772711671,85562967,520417813,719153116,801880482,764952491,905686983,46800229,362276183,793320715,942622583,28477967,483867128,997852191,770683831,824162142,686420546,21006633,83914096,109939866,132575583,857850770,954124235,379303337,464609206,738524200,255374020,781768297,387360208,527124036,588280960,217926332,669759414,109806802,293129429,588011701,369938881,536412684,600306029,264535428,177108850,397315142,288419401,435139305,368733747,405435077,574219769,428458307,797372882,678967488,684473439,979571950,617514840,856811950,43683265,515404807,415550465,341147280,483764641,688306296,190147823,603025837,663537828,503734429,272195385,84295341,524441915,977981106,274845540,935186661,929889741,601703154,282942465,832373333,286194255,118850994,159245110,747869597,592498920,705017285,15672379,476278257,196185957,730175958,239299541,850975211,165931132,232159600,608582730,219106843,820085563,928101393,547071346,135459848,111064620,578150358,669865282,762777801,137546177,921314788,279166616,913418356,684362628,421568778,368481929,767024213,405888725,395518758,521606038,97275232,88502510,884572837,461028363,710582613,196720887,122571153,26827230,522520046,700907017,623668052,65624186,465615059,23740015,288068727,161130849,633996895,521352717,891914162,736717189,250904272,188093774,227979479,805459651,826472644,591963918,244324070,546228642,94967459,819934443,160123850,213324842,197610859,185961750,534171404,831084729,525660906,713449163,52244499,104916178,704457237,497315992,804506785,991307728,505725950,161097587,254634232,964977009,859797017,63919266,199242516,669995827,70395628,407226633,646801574,852846786,134819584,968511605,578436727,113465095,414130209,219556131,940065303,550110580,518664680,533739764,654827226,117333355,632415088,221318246,745153814,578810069,665043401,212844218,589688770,1205503,160504413,840689855,234858627,654189047,61011111,906593389,237108709,914848934,262582740,195527104,928644740,303752501,342327150,630261739,975170849,235251731,545752590,352613047,492175523,12261076,497195032,850200854,260713353,825829736,257477582,589387562,928405293,206157591,949181802,360849585,46741251,295170199,706295111,533005651,913306632,430406394,741165857,80021536,796900536,120961904,945295298,503699377,823026863,864076956,145683753,163558109,256599978,422673187,447914234,142468997,31147789,818965358,594543813,296303157,249567419,363369253,338085283,29628428,356155356,51345863,456529078,454784804,698937652,585822628,74265788,175260154,458538002,230939120,232923485,469548796,838239513,96086155,628023891,227459915,425460631,993421207,264262663,275206241,172747344,151804428,565451014,89812929,490047659,432136891,705658100,822208812,771627003,947267948,33541487,639644191,613739182,236816760,748852163,601725339,269944973,92981780,215717120,773829412,803903030,577144986,299162002,962516923,801058070,447283735,863351163,451532659,706986630,202514234,281319266,754320382,142719597,294399743,549907959,640829798,909892845,302510270,939178705,566223859,80213564,88440945,373137426,351286323,862895698,918248913,849726982,180089737,173106597,410742198,432492815,661614304,547529598,983521541,198071539,126017389,370338220,541782419,218443222,830989933,352969273,387380376,140055440,841195049,552898958,166452525,560206661,829341339,753650047,123074525,628131242,332790821,840548027,72009381,384904738,609014728,96424802,460002418,595243342,837870170,69695324,878134806,544095881,61215947,503654930,816059001,619468219,276779715,598800030,897738735,103810351,93089515,714224793,881448085,371175153,843733907,362560589,20289362,620895065,84695449,869708050,675467852,129037906,382975751,625823232,356284245,76015016,327012849,436684624,141933157,803595559,327182174,537684153,781397188,77662475,420165865,700286416,796299995,320951803,731905165,749115377,984320390,393545864,624095621,955450889,489947084,236203250,80857222,470995416,951285508,787951557,646472072,761708369,812139984,788466185,31384586,839766709,562775948,139952842,919745781,820719003,706596706,399043067,444197511,575249403,312553277,796552355,325460064,567306718,482185227,898980249,223432726,899496448,621613996,350837707,965679026,487872058,737161698,804657984,408251822,783478500,337445798,555204131,735108006,766183939,209973681,372720545,571674581,416301187,696277719,163534652,999818146,30590342,798589899,694460848,655814183,244366492,906589106,610862786,356838282,926475778,937122236,459395723,452086887,588973167,986964719,724940159,522712810,808932525,916436498,776846029,311562741,242803330,599380320,725446071,23527501,60421952,227194823,973365632,106210932,327262111,708491323,741124486,547238252,475699520,306510071,359402814,344777535,204543331,162599917,491636895,530685425,914844145,880792222,853366643,76578823,214209159,423847362,537485380,683016635,705096175,244533398,966239035,776000687,240691101,588731100,541684456,688172583,121664892,587126223,132445809,834711812,583908185,919947384,381015076,662856505,459182314,736962031,106640340,675526035,951509132,823697235,780974982,252259208,719029395,887690181,200965479,535180573,411851227,323830535,470094292,597218120,857679632,352157050,223935420,334915641,281997926,163353768,38734013,825453155,718940329,8894949,43398744,322438157,467639557,629607849,764612699,620392049,636202752,692796995,493952614,588475927,641719531,745731048,500883891,957185974,211676195,848581709,705847154,337470133,368884221,386404580,800215375,355322806,472879812,154798360,900468319,970839863,520786401,216812551,263838503,472833607,932924772,398018424,463334328,671492619,585815892,223362314,596263207,263536048,751186654,460313819,459759862,793458978,315934395,410097766,278863467,721237419,543877132,860850304,824053240,281103572,180739911,520622343,948181537,44061155,329406026,338418155,414983035,919201749,490882694,97030014,855327287,516933976,483067880,281127190,774444700,911361611,355166865,323963799,719114777,480826569,814281471,560821782,880389161,423475300,158387097,821219147,857069543,942343282,541211718,742509905,565682167,306730301,920437478,545348230,78788805,15028511,32353416,611567357,805587935,57927175,905287540,719098155,863122272,911582827,201907424,596349675,131811626,978112330,37621103,106460903,174457679,470245255,960035489,797359122,140608219,409057087,135655817,533428842,676024043,581130494,367129118,850386483,352174614,576878962,972849878,341284562,90193885,844628504,536644203,314742620,174242389,647992802,869317044,239701096,736300129,395770260,686276701,495900547,670036213,460216635,839481527,982167539,361086645,879651012,210755006,158278358,206501915,39670966,775122954,938088269,879076197,476452809,780612357,836275479,162467215,154449238,570108767,517523912,747041056,919886302,305429155,647880599,784800816,537037751,269123222,752473138,434872937,127054663,208307331,674291944,798338580,872993269,401172157,31513175,436215317,94739545,692244682,142217625,543687030,779438820,260664801,278246468,891315789,777025612,189794774,247932195,780769623,962461114,854533354,353186769,219402309,266800681,426437118,825889612,613862892,172510535,926733085,767124053,624930091,282795377,983304557,402987150,420304250,470365548,125109793,942616507,467659665,725967424,682431588,618490700,938358190,748137126,689737946,4942446,263020789,911156563,281590747,41413862,763724202,168786374,373541948,491963028,796476560,380638949,550618271,366212392,802540677,935837858,145813078,26551902,859908998,741089122,879324755,774152183,553397969,522102872,293403961,496186193,631764415,268840672,283489883,411464941,417291627,619799331,312625436,46831119,773932673,849779692,973613102,992126841,414905241,853962336,804524588,656105290,858541579,110395939,206785479,829208443,183957528,662731055,35781770,640217982,420058710,658375432,68313201,818028128,239760537,416142135,953810793,651614027,514216357,858989787,494487095,735211620,765594898,117435281,587467512,590070964,813815613,402712935,15804354,573914241,214613148,389224738,568673621,318959288,602779843,975574291,74691537,959635651,252439638,458082297,39603552,437297350,566696572,983331453,117707221,145705636,779143775,103787887,270487562,913375199,243993549,548463479,914311520,672330954,830288691,367161313,638779056,637671261,303322069,110959627,943604802,256169981,227095755,852797938,838255511,320953904,863953526,14441141,575279566,652156657,217747379,640053737,175095416,726275715,837783160,787174557,409652156,658790882,573847387,563901990,234563918,346661955,961591811,548185110,786115667,863049700,638957012,255114875,288038496,467032482,645092113,285548672,363713616,709716174,444432200,349084066,82825929,335786001,616960071,94503766,795986773,670604306,368981550,962109534,371121631,978466398,363776812,147204146,206603939,970039684,396604988,825699245,56015433,268981307,307848633,218727401,240449452,672875355,259329744,633364459,986812469,537775898,612099368,948242363,345422280,64429111,119958242,265279604,703981293,728174100,270394721,241347597,356142330,392246814,633952461,80359525,980557227,13963311,793218427,773011997,768939585,160713692,97359885,600189868,109537383,141566816,304099723,410747366,990859695,571907447,569525856,160859009,670484355,94417313,667780536,211780454,882817429,939658049,626881189,85035934,595811313,119578134,153477526,348389219,599139347,810176540,721797530,45900141,478292114,472864149,193745932,174149504,558550562,336485346,242936727,797941325,467779889,67391197,258002084,672875761,986502880,803458934,782388664,658024277,443439585,637118359,10708628,723242867,163909084,190466057,407304098,344872169,850881357,870774508,937426353,746032366,502326025,507091560,236814921,118350398,481434759,242804907,565890242,190519382,410660303,588180180,675786818,722252171,501379885,234148779,24567701,460241959,211612603,610829177,707635138,495982828,311356747,676330764,423686324,210432426,111667295,532322683,219051364,53355005,520742946,677177485,870308358,643578492,297412394,361790111,955721067,465286596,910137683,967273597,934646496,848374296,519076556,827220311,789421408,682391161,43176800,373390629,370848051,263315065,15886559,564272732,826186489,210193161,857009991,693843285,527193553,980097975,221732978,368733403,433713321,400078335,280043999,396627078,943522696,753382638,964705984,439332446,853231912,322972353,669093723,807342982,810615643,213434947,30829992,647675765,287910199,693320793,163599032,553608597,979987352,981974890,653222345,299330987,672380744,287036926,129620954,376428456,622849467,591525864,287801742,280103233,733202303,542327826,180788796,178480325,514037798,243243436,277296602,583188153,88015190,617692891,922350820,689738783,648558829,909650186,278357792,99840689,908065991,4133076,307386486,524163825,72061263,999981445,295494703,823642500,542062986,64961814,957708038,184238574,784326259,53216514,809426915,641804990,46852664,420412893,55772494,815936469,175592968,841048870,29556582,528830101,466328442,376322738,92636757,295787911,391760878,834893100,763465822,720294276,93196459,902156859,198773285,220538805,126924682,212057933,360608998,185176868,276048725,991750874,144127136,93566557,189186444,477514444,574352595,681964141,497737123,553366449,599682129,979480401,182409325,833739461,157961150,8730803,952392629,199845907,960144569,735691596,565130880,969651824,171198865,16322468,29402316,751687860,359039166,44581967,815367014,131680226,806823958,177198440,535040465,997929829,154269949,950687581,383218593,225875551,382275501,387880351,724419137,810234302,642549271,700160866,18954364,643635344,183207586,994045675,751660840,365704413,904391275,906548375,671881352,425291797,576231991,180039557,562107834,953131346,401378341,142370840,800468520,398077556,745693500,483284968,539154772,314418625,409057558,486971174,930523094,509799054,323276014,284891457,780601687,783547720,857462857,735845676,722312980,358858486,358472564,718065027,434985987,610464787,127157462,645482942,490616668,878140225,905288030,144553343,363290074,679564299,456123394,302053432,7602845,565164468,583675342,161754167,34634311,262987207,374560957,941883138,705765419,741289921,386670602,595171422,884591359,661174588,823047701,902087911,246808704,991963729,810723157,50581737,50044883,829273524,161201354,963304716,610541674,175684872,676681373,822577802,404182165,627557884,547419690,29817491,680807216,41816711,553065112,329281831,314673508,96553913,406153979,385817558,390526660,680536405,888451440,916840300,577119544,911266607,264878686,149611057,964508023,510563214,534109757,749434426,894462047,365707856,142447672,702021582,644121059,658628533,371362380,59450686,115070802,108378513,347560450,926817322,818007524,368503529,559649548,250939915,528795017,809171668,531907075,194678611,199297853,840267548,852215441,998894252,116420853,331398744,74396763,831374325,776545662,526629691,823355449,852987596,593986123,92767775,846069418,412471494,558952815,639740835,745679212,129667448,653690657,451524786,985160071,364011670,540100995,620740063,929627077,879445384,100095230,70101277,538767854,268264276,894240445,649029039,820365425,28508104,585982120,490651238,158421322,282650139,839726149,239019088,304462128,424508392,244741592,419244172,363150362,973050140,104803004,560526869,186503479,21350359,128419587,401231856,865957279,583517521,249527829,417777058,255248238,233657211,565734902,113420933,866383523,479927232,794268506,382414683,417591916,78724690,964099856,246666106,663099924,184187188,658613119,302437027,814930597,82629294,420319466,642496658,59654667,57461854,992705241,854176511,781599418,587777507,806242756,866251509,156570209,134587058,901107894,617280358,163913920,666394012,614518567,262078199,142945736,890121858,20498891,307872700,958733433,771855648,339002116,563610907,161399295,192568234,918523610,768273020,320816796,658388130,51282694,492894004,711746737,464952785,618619932,383091350,442916880,534701918,770711640,117731315,483602500,980922083,182620579,178612007,862161198,945781629,974486301,912985638,178488106,952054663,909218827,244769709,378896775,927144357,250737180,154170471,744036805,67565630,457395778,825397579,78386245,353226931,956555384,726207995,46971139,259439853,929439874,897528676,809619552,873892332,119083417,296130849,736104563,881734593,526149644,650624930,554112084,427255767,398100561,556241854,925409812,496427354,958537554,396657903,866413574,764082278,867725691,653702133,99390033,542809069,449222511,919644825,28700361,573354905,975105083,544622038,537623730,565328320,449531348,958220438,814574469,465853871,938938818,208373782,773463231,543669568,942789229,323691953,491874096,921510591,595186686,524484096,638422726,602345981,352960859,49523598,773629778,684660963,244259969,939665931,10596288,604356278,846896300,181620986,223792705,686624666,780581640,428025568,615771193,95321515,276458527,730462245,644726237,550410456,630374433,300245745,649608022,250186836,127425849,406462910,648730017,529710393,165095522,143563104,220092519,383153221,451415377,486972268,393504228,234133649,286755888,154666315,983009318,731914249,591579530,56266533,91359610,797844628,577035618,803517689,758123472,384617433,687159085,649971856,454632629,144243192,219008605,881995064,342870932,506021753,603117490,742378514,513400117,604803804,55189343,350804581,968428086,77156058,913111470,779977742,256462332,438059737,496675243,121055665,828836194,729235708,781587847,454102447,58537287,840422835,284951511,718042544,298775901,95932705,413396004,286580264,960746293,869957259,925007921,57397366,522147118,254214867,966686370,790620384,467627508,772515657,333142049,190017255,480280901,775097262,317696848,560382850,998565101,282008891,555832848,544342054,366343965,149795364,552970489,645016142,802549851,921936899,698836293,407033171,304567963,424187228,271044928,514758285,45607267,290859745,673919041,625115665,476641996,40532445,734599524,937209074,720234909,947753530,650567335,674231553,945737749,792417282,213755601,730397958,64303528,11976964,158066957,420047220,320339291,281883473,888422798,938331720,188321974,510680176,529410167,461247574,830381276,136474091,753347846,272743796,665675734,27451731,156493566,574479815,468333379,868676668,73957572,333113017,115764098,542752275,52719274,774051935,450342108,72289532,541687715,582942742,146312683,146389159,748986964,617814802,168815113,965192032,539013257,618299748,138250924,861194857,646040875,125676496,67312538,814871860,108782677,783361775,167934627,641872053,374117621,9692201,577620620,19412498,694822684,615297108,692324845,378501662,425292053,25631995,509852689,795950306,103064591,655913053,394306621,995325610,762702547,586650947,801234012,611174621,744358133,173051397,289149114,885686410,237884042,294119725,729872000,399604603,278156472,132696919,854033218,602336713,953577017,521666925,716466894,123046358,585258265,680333081,819146074,559702697,527823916,978906157,845408480,812346283,261138038,145312564,356360483,982599539,749474021,494284289,600246826,561518628,830228150,903911633,850313484,675300140,293540771,890247459,971756287,509054693,215845192,210696044,690285270,49891029,825614827,10165680,570685384,156782597,890585997,485640635,334389570,253777361,417142567,144784930,608892419,325991910,115988406,237672942,313008861,318749265,509565234,783258417,767537149,200819086,309421949,415987542,912762144,794529584,825636848,188359868,665419151,95180987,437446570,908272215,296221519,162998963,909813533,836757726,848417103,706564920,90042413,853133616,984712966,871213053,485778581,412011459,355596087,994015127,416371548,779702692,127750119,846498412,933983954,744423957,634742557,128642495,666434252,655314368,219517247,95759154,712219353,547611372,32407404,837400830,946113140,330236336,512899320,211788064,461071695,210684988,187689706,413803561,434369327,556492164,629173491,637889340,920254562,332887816,626764750,614725985,796599158,100054413,919543541,552164045,929424292,174611751,338467885,371190620,906311848,429899036,933307343,489862351,36104735,328850501,55699439,158404075,730949335,707322679,365946589,473891462,789431683,649679540,695223318,873679337,346352325,795518031,55122742,494728288,761195333,599241594,761568526,683213338,283747250,106947901,751458363,25602653,167662317,149888653,792752598,976344331,202629758,665406583,885994869,706421791,474567984,873332783,6203682,628801924,566435523,285649968,781299694,119333112,887661924,89377258,517687814,855544692,979194040,753208631,866522938,594214260,442855147,674322900,89585416,966144529,790312204,952102412,168034003,396972340,207680527,558026016,465726421,933355393,922880570,205703752,344078714,51622632,211367278,573955916,304897268,893964107,313362634,813377718,878951986,249291892,399164183,718198170,50141523,296429879,410924606,508482618,752588268,811178133,556324834,289689633,643754287,521710546,421811372,540138273,515056109,255108007,770525762,425670326,919140088,72057263,734977956,64054074,983444141,686173426,296476194,539802244,363361692,740329862,753110032,543825884,321762144,416538620,236864066,52142470,243316820,882569809,576723077,577883710,359820757,93433849,870231678,779360023,469471261,706339551,267572254,788080077,495506579,330030769,498153617,199201287,733848076,872621042,943120463,610028234,93036599,6797612,823919509,879226979,314157475,96176735,322471631,571978152,279975597,281392319,295457155,251364909,567929723,815621761,771204360,766731491,249113918,934042574,708159224,986698375,130225562,655421411,632318562,625638698,974632788,307493896,188708864,156470409,965964337,552964204,141569499,239983567,219971399,303685561,848629731,476507339,639904129,571209174,683032828,915468167,551967720,23483150,546611530,686284668,443380294,940344369,323162181,70674107,189964320,427444162,470630046,154778052,598678055,933583516,636916878,9625663,589434365,106545596,265755641,472138741,241024230,783340238,431386065,329464736,970101503,25546605,26436634,617640975,996870859,978519694,838892565,987970896,373161572,43883187,673070697,646330886,647683569,42791612,496976744,518902287,478766257,51141251,711407706,364519973,689310314,917773244,434700541,11491299,297023522,310831096,398824187,880659520,514399664,76947395,989044418,223272132,988675194,903512135,30774038,826862013,165562541,245735019,568951976,7728379,653987381,794504516,406661924,155162155,66942263,594826449,57290123,767818171,372842842,444733811,143692472,952191129,596126188,717370849,657985705,145167965,21538054,608298968,118629471,633761764,19509920,421192205,689363035,642640597,167581328,682377929,267100737,219495261,591672047,236304164,977771340,719262950,543883912,702472669,718911028,408337583,895820369,324789553,302488678,542524353,550564952,545591336,383783500,241165597,517513782,524779774,342429826,275242228,758559939,316472874,96219333,111322382,739399534,114283473,137166015,377193869,728543116,427038991,541264707,582131381,98722179,887524273,987626493,165063500,985073798,699893197,917881011,55576774,47418513,934711848,250596533,604940034,596354087,889495092,400883918,309547740,105601457,475073304,254132493,210431228,202057939,437472417,568771219,427105269,720407778,373101830,331471998,51838367,863688588,227942747,69455917,377928118,699598124,744195419,784967560,335260124,543502417,215209827,617115046,29757783,93311729,978638352,356149727,574961103,335870881,141814507,34002254,47736348,983377182,891321787,333354979,801327675,818563921,800555958,862736316,140195727,734152751,12472764,775869066,18638373,344783593,817587252,28975286,196839409,548184,305852302,657547598,262798795,413032665,955455111,913339266,844566799,290939624,893238651,816014378,365682678,529049175,584872951,950160367,721031153,540409332,359207958,239886424,807211014,227957170,574891764,473030679,667505279,905482016,371897740,759047223,227532201,315683370,855989563,91808598,443881816,911370144,349331294,613428579,236418677,615720526,125773613,633255466,212323199,78585983,226025437,982860143,38017436,626869660,393599150,730151090,490881659,58932972,485217460,91124667,134381317,700143205,956660881,238510547,603802290,457200876,49619548,789859149,281147300,621541272,963005123,213189050,92187652,747627059,469658790,610197414,197453591,949018110,220693762,704638572,803483136,62562887,763249074,160535107,899001616,815257496,357421509,377327916,180850543,798477751,24835817,113828251,793468368,804759796,858524861,222973968,73154680,872794728,598656845,435391072,933331273,99974138,564875103,759098863,212938849,568704071,461091735,581553072,839331250,879009297,506607817,655607424,118941037,177733202,743700168,790958645,248398201,362961356,444575185,812262363,507728828,702244949,764449969,327164259,749039199,767293570,894969893,240704508,979931472,351683951,256390840,370740728,838643541,456996131,632856509,363843449,2216755,696792482,536025976,586564508,888709311,999605820,528579306,769625726,667487646,681167266,720674706,599557549,253856267,411553754,445501027,357118892,28472119,875523387,334003777,534833324,217471257,834950312,670908483,337508362,642306618,575657894,636447964,746614902,326214147,937651393,205600090,501649259,264208458,465982092,693919450,512784603,573577874,156264536,275126165,8275935,462520164,945226108,686461680,325651129,472026850,472384348,7805562,681110120,820177657,272556532,842105703,433736551,581936143,40740889,111099756,70835949,222860785,74433951,423094029,79671973,230400767,892234017,273893231,830738359,494157140,721231605,500174465,110797458,723298910,190892154,756641766,694554004,540977295,376513842,35183184,26220324,355044804,580228980,431768358,488319586,768996392,668080533,989233701,278925851,259897757,975362650,352699276,223707548,265723509,94493760,878013939,517427197,501173554,76772771,615173959,862407790,941947685,786188948,787538055,526082725,405038957,24177842,396452139,89368400,571530493,666527234,341482633,112322852,916030106,708565932,963119891,874245104,630708149,940032387,329283066,249566184,118451624,984914692,727148914,422242299,119582340,757183335,926148392,451722499,274150693,336713834,722106735,338784209,915110058,302394311,526733133,969472177,732811116,373488996,431928003,765226594,724366017,560255511,516874130,882920409,443028183,461282979,698800800,917285643,707439597,268302462,737024400,71825918,158225008,133529066,478003726,478094666,730284609,956086494,159933664,602170391,989323918,965104801,35670433,738269230,594362728,132739752,715397181,148548444,411555774,460253617,196380562,55993539,521458552,113840630,536441264,358831401,824691444,617873317,263041019,491031851,85035413,296321264,703273562,547025981,323038547,388915668,322013892,953479618,573439790,335705190,635572740,66192784,799238090,622503245,487836844,558379526,20780752,193391989,237876989,745865795,175494231,37555059,902284383,413907760,65063961,484257006,358463236,55737518,771753689,177012311,159534726,775001072,276884918,79065073,146958408,726361758,49234455,371574056,553358761,638187517,225215064,488875979,721941009,592344339,916530741,977711490,836159214,57970723,634946090,717105688,338665225,530782719,217403247,93254487,278774973,36049412,45679997,110102100,354611918,365760517,960159472,548650744,230144312,597541080,66790925,616045221,656136972,594075633,635477741,464282657,78356072,402673171,363573539,599303219,782452454,417651035,960051638,346987383,399625267,310362782,599661617,38351027,922023422,246507964,134312677,257147904,770631258,174000068,861477341,569564868,671396827,496784542,988627087,711065168,438853866,871960292,547935579,670358884,17251125,56764830,828324579,695089673,251654631,605213800,47430822,999019087,632353996,944757325,428164488,632733322,329815669,209536347,168084310,264871800,959042984,295319566,690109179,168695387,479623191,409922100,10250415,753899292,927464901,969460835,633489737,11215839,370184481,943846160,16325015,927721369,152889009,595697618,42546141,56761125,348515622,911185129,160216482,305212516,924119457,281989837,160187903,606172922,296116151,796195972,206227094,676233205,312384875,55961684,315668903,17850090,638331588,407705514,143181071,359468388,589428767,562825544,890881884,93109190,52130843,788496190,800543848,496509777,57956870,141776239,382149247,614226107,858804715,658907226,785462462,548283306,868232142,605287734,858822345,573456097,911312540,126468775,811503140,24308769,935392938,33322147,446395840,694797764,382671669,394126008,271110076,979918011,599901870,349272727,722316178,461401409,561291837,343789407,821175965,868782660,292018996,18770777,493579927,305361764,323413259,346363929,601068274,547311140,771756668,614885908,940214310,530250210,912920480,993934951,6265973,625114577,921422450,838952948,445870429,134244481,128730168,756722095,309108109,618419673,660569067,988769160,996375062,123541133,768759054,833369431,37727092,77449146,115353629,809189981,791044226,856354807,307250188,549545172,882815954,422739977,217304884,611834233,637326925,848223807,616137335,929940458,589308292,936230437,844793931,579390514,677635113,762245026,73574120,848959137,103665135,488931541,246346405,925805049,405954587,46282007,664371372,192759699,465803988,277638479,585451385,525374319,538204347,923719258,158028742,536932082,659548293,707474193,782412812,823260897,527882541,385184278,847380141,399561244,83076117,725285638,678713145,436271658,873482751,909628774,875275874,421418802,856818560,122238451,57915934,527277572,251054110,631939456,235236476,320186036,524464085,74439796,522209249,815757739,381951287,600062579,749408051,841315842,936107146,365828247,491240285,415608833,426395217,18212196,785445792,464838673,537923817,576191992,84067833,903729163,443903021,346668831,176742942,478237905,703853709,235772549,845019388,374522687,555509340,375096457,95493065,831289088,291566018,733191877,861677507,65327936,822734920,309909449,568004012,764740318,557704095,289566051,124555032,5276818,334011482,33275389,328660940,951788708,219605694,674990875,79919695,529947382,492848129,405049906,916600465,81917405,699884596,423939227,192712924,834851533,955536764,834248121,658093102,522228354,628531249,63948908,910208642,925652388,608274854,287684622,354724678,765008580,563063053,113382061,397186080,427560811,607994863,910811498,831440682,889761968,179718466,707816594,829511056,546589263,167687745,138923082,54840422,650520112,491094799,467384055,536679183,354110483,216551143,33891536,766890654,436731266,402819561,514760700,6109064,30449093,816893322,495290878,51388847,36663290,31759515,274054543,419194230,470091783,49330406,693541537,845965013,825290173,180640972,737245021,443737210,154951533,308307527,165588734,845684564,573884777,486243976,498837382,19695713,427428452,898211281,585453770,386755330,848528823,593882392,703146453,484858322,311317488,472144423,194838824,279228642,136753107,68167459,869213530,217904147,566051958,47408775,292123772,89664772,985043050,363604069,645790951,287044443,691189021,463218398,679338077,583321243,709726853,231159648,829564715,951939330,577870127,829450703,143445151,454225399,48709642,785803277,986252388,77702624,603236635,671718115,130442965,99758170,858719979,517160968,900099394,878161626,826437855,998857845,194643822,505784954,20046395,511566279,231709344,811382068,642411816,832990484,99659142,506860531,977017318,948635753,380586462,707351879,299956703,736090327,758301100,600503646,268707211,626966846,167772420,203438442,566464207,124615836,423170678,682864572,275371068,22618705,703273059,417955042,70032202,118836433,208538317,812331708,88353179,781525001,439052757,283407064,397982144,334027532,629628673,270181054,509930463,177699464,579301744,434087723,247272936,701262604,60397663,214730500,769062713,932491874,612781788,841306808,928659905,875347768,699394982,292069721,91596423,346262425,884653204,973325796,822978292,663106873,164468714,942088715,550759932,98129688,169108238,430909857,853785925,512125390,931203052,192337154,977976736,785036092,219087966,100157614,908880940,409722092,771688257,218159873,8418683,697539260,611610489,78506401,640193905,814297941,436410104,276249243,364452453,230775087,136349039,957237297,726885665,526570856,752139328,80873387,135672832,301961042,34087503,16821881,593909355,889233415,916088279,623881534,710995755,489308471,120937170,437334406,931458649,227430100,709098939,183488405,72792385,502203471,322436677,700114741,442690953,854059166,403913103,573386399,322532435,638105124,866323134,931037233,700681418,386258889,452867364,376236469,739418858,549414863,29858887,249766817,581214415,721501897,122293768,121228552,292908799,607448196,764305071,825803539,759907594,315216832,525328984,79611459,783564636,666848587,718736660,273129423,311663696,505493731,545441944,934104720,912920876,643518317,102552504,832441239,997897799,47642648,506343709,217794004,676144589,302403049,306800389,265919820,374863286,273220066,196692585,568288050,112454784,704026112,820737063,823760411,807087713,327901149,486377352,652795015,853411512,182783965,909507526,180711925,762077774,303974940,203323642,775422546,507225555,662136865,6738917,154936523,504108699,20958011,905729249,82188064,529635468,720768542,182996754,793663921,428965408,523106349,648545451,930881627,39924523,40499957,554110921,626747808,567688440,312645270,44584882,620480486,502327902,130880488,620694174,965893733,917464563,740076884,258254956,591754722,473387823,411982919,633737428,956991853,342183718,900892530,962770486,237471627,417388470,378507098,570508686,417141838,378666202,44789741,326855089,113760620,119455044,10491243,145111799,114690467,306931757,108251931,252300787,352875816,968155501,801715414,724573086,506881303,705016313,618760624,2416789,15396409,566454503,436913796,818599674,30901323,925320075,678065624,973970803,739198382,675031675,441162590,719588571,563453196,609395080,164279981,826553713,524322494,967791482,163511391,155213779,475023217,26329551,543149877,834875704,606640152,79701247,678451866,595437835,612014995,959194639,884143074,523234555,638385722,665968246,131246719,283321239,213719862,247678745,318522884,14856084,932804288,269631398,759683945,61153403,67020659,110591671,222778250,666831535,910695203,722881777,675569715,137781564,505353374,557187752,512907190,294716949,250728925,989955148,325185107,794853549,584055546,881890956,968793289,550051138,756866792,273078374,891488987,406091026,748471644,589282527,191654326,159956254,564045290,823284879,647862112,660848646,509217824,494192646,364819699,916608562,296333716,748999425,653007519,993327289,848107309,564628873,513000711,479927923,364729177,22769456,642543168,873594365,733867788,503719482,92737775,439027937,513445878,682265246,624157218,192278901,471633060,742825418,332979678,982231659,659078827,215832323,568743257,851158261,999354081,278318786,457413033,837061118,509482394,767761702,731554703,789576486,915375469,692022110,690710623,933149505,304407096,689557369,237992824,442354931,743724327,54676738,102577570,970589171,123390121,531616117,439524589,806755578,559786799,661387224,353272419,863567878,127798719,404097036,986087101,280768106,656853789,793720351,583201899,875520832,51498595,959286395,812663540,132863818,791330060,205025687,602518044,189529466,977969980,94459151,668264168,637356217,67706140,293582881,413924389,191252778,925806627,763512590,452430745,238319395,328906275,844157094,743071706,217647065,996527116,229661635,953914586,463040888,310439782,34433326,858813859,64121378,317980396,627508415,796234098,20323570,623177083,408423739,742627246,145536930,100285974,395063048,783814233,59467402,19987039,959073257,472363783,739392442,503988848,163779530,451435659,837897409,103197842,67765461,60837715,342876810,336007185,777874246,706668982,479055520,447882505,8809307,212311978,10790118,970149578,498546578,245621590,821518259,805970582,263706187,803627053,968150752,385635497,362458611,43131100,908553154,867851531,884619423,591892310,713587488,988946601,127263447,539094416,599276782,659144169,702979611,346829331,441795657,792319818,171961094,236680694,525793883,285361908,833667169,34654606,612526245,218289644,932342984,99952837,945238473,654574515,329139376,682960113,520829676,955222381,931424968,157983956,162273228,717997769,783444391,999855926,893547530,437453422,499281854,732080113,986995264,167293382,239047252,665763039,435221465,277245023,312767110,766018110,587157035,840505126,98280197,229095385,675163900,7386852,87532752,635125709,554474547,525672296,917970588,11443414,638444797,598624820,668969177,23266974,973495168,628917669,741409032,51598815,604430686,367201030,269361533,566739145,665547669,115625420,631881969,509486220,774728517,321175506,136168316,192930065,541352615,511931163,438682048,748685529,313799243,753799194,955659598,974522431,88081834,476726915,178816396,132115938,420611673,207959146,578338244,576637748,250817311,864284931,655161773,211147056,35843851,490607515,753801632,64262206,102684114,826757904,283276773,341417563,681424904,381701499,938313309,36587205,109445044,778425006,750868328,506026555,910628915,224982426,653669191,9179817,581634149,571262118,303300894,638227844,270317184,269646356,679171244,197825918,861892700,625977139,6964641,778938995,50794234,364439226,175506745,396161332,764831051,937805853,668596314,620270267,65761163,703906482,34366292,122757229,416082915,479216585,832702982,509249038,966179939,590719850,165470549,250272954,767655757,282843884,862295668,438423906,240909259,730518851,490142749,326324831,394592799,964597993,864465774,129492586,872778574,179689726,770941329,608503950,348866529,837774257,194919060,9437885,721964126,490239775,469135529,130668593,904552239,840882231,998143929,88085817,181961158,836399841,571429949,429411492,604995118,311484928,178749476,12892435,514750855,981516258,949803911,975059858,949915112,737652963,169425691,271053765,276104558,164624188,591889328,320910312,273825882,158088149,279159392,830368972,418551202,373025015,189031234,958790222,758915474,63850957,454008109,504066675,508679694,392879675,864080206,987878667,22867196,50226211,278868928,990415267,405471239,335731803,853778391,576749734,979725648,879936160,658209802,640390398,410208882,85554768,421481073,872844757,909136992,212956724,825346854,905350239,285971806,976931990,663337449,203519690,961769174,796649615,158806296,742800165,827694180,26559346,958855042,363828870,463724989,278310912,274910274,843935868,805371550,186561279,185728557,219083659,817920915,925689206,212941045,432598650,600652067,842855656,22473782,834709449,578422290,137217753,452347764,554432756,119419428,152548376,593347551,493933735,502778249,791332232,840776510,679425959,821962652,731241492,22619431,695032010,71989174,306108483,861121367,217351283,251272732,840929824,279563215,485414665,521027435,749439297,22715054,132146450,535376111,172526378,184845810,515608665,379409315,941029934,852139951,44584496,946225084,878944783,334324371,590167450,654412148,945280025,771403200,833577166,67885549,162660784,328930657,125003699,612776268,684599673,367425318,571552556,642247780,811829084,55221258,687194453,990087760,270955382,149604069,200123651,879935964,572201045,748222880,383118578,517393649,392945652,778813400,913953875,780615377,305862597,810668457,822288939,728877423,457031254,248116769,78798857,894724986,341068877,980585188,776129605,767281333,144023823,69504337,845035941,492657552,73207814,505706156,243243239,334636675,954320202,567389390,482522287,930180865,825854078,829201295,422561313,826496409,28636623,368731985,314643282,875965227,111470736,761904779,274763716,130221145,784367923,538596337,250434430,158870183,303084754,143392898,80916499,833083285,166823857,920070660,954750241,831258239,469651847,178088176,809551418,319300430,682269008,909800061,800555957,630565504,639672756,727330158,709740431,438176999,843933686,455695437,859756389,5796298,349210376,894660391,741548284,458030184,536597890,750439623,255978424,171882553,981843785,349136029,207552884,428463842,551810216,807699105,30415878,484221727,595039453,263773983,581152495,832525073,672649455,485934588,775450896,290393767,964749709,179105761,769713492,653011588,114753059,57318721,68659613,135190263,913265154,817631016,871398952,807934835,130827051,284319126,455041596,440228254,882207953,472199579,175205383,431268081,859384541,726407004,492500884,605654621,459876512,844100363,905487650,366438357,506471258,149287669,905294375,411501801,450225560,479709458,620428096,836275816,511419759,259301602,383322415,432341202,215882916,397770932,850590997,650275278,756556649,300310761,764215704,226846973,95173446,283717682,648173109,690668578,917441398,17575413,474688732,298029785,86320917,369502826,542831356,545743885,841289350,783511867,527327846,156174296,486483286,36026679,274041628,968031292,583424107,679163547,141441347,468092452,383521958,610815364,501810038,557610884,57226197,690978741,991532447,464239726,233696478,176080371,872428102,958904406,18017326,592098343,822259426,99856976,755434751,308345578,479461278,511024191,630953252,49894651,811148529,493733572,398483170,753137451,393301757,849963772,52730059,690140356,195924384,187202281,784754781,804322231,754115370,260067489,334584715,553382200,443450573,684006918,425798640,387581570,483267611,171882706,731989510,856138920,587969594,882782638,236515097,966105258,600478312,517969724,414225879,734737205,539027569,822745155,219128590,190980985,198371222,984987356,207827629,20992102,376984638,633721511,693597091,938791060,895847790,395174103,931616637,398331033,965283552,977406030,829551037,4801309,496969418,151679923,697269379,521883181,8748408,662993020,441545392,708581851,49820919,770905379,366979386,613130952,363933976,935224248,80417773,393026022,16261872,749740606,515159234,242529245,233892468,50482462,122657218,448795102,723477682,140546591,947617519,233651019,438655273,276397493,153636131,195520379,940748516,113038492,222097702,382345631,35037906,410895532,473989488,850830014,129126315,707855026,34619546,759878935,820898811,549323815,259699173,812058432,650250511,690052964,701272419,376111281,55541672,741953212,483413668,633077554,972648667,865182641,586515671,936083819,404205594,970427750,620048749,208439677,528291855,314645759,498195048,971044479,377160636,546143046,98395227,542103117,493094396,514047993,428127320,443932175,564281082,674704577,971169262,907793536,399206981,704775057,585054038,484856348,612956160,816132067,819747858,592919646,5989927,687420466,462707753,300985703,806360371,227898719,873183093,434168614,811563798,365865146,318193608,513842346,452483811,368956459,347347378,633595364,6228494,470759808,983908225,125321019,741814485,579434226,208901377,127253749,817583353,878098151,34823705,939879626,137558661,997758135,672937874,350210433,156713066,500651344,89712970,272598786,112722209,682176197,481002139,124156775,954019919,628654348,636534296,657702623,425090392,590647014,865436448,854422117,279055881,896413338,303678613,606872378,575811142,14097120,42389412,27195835,911809632,178760679,388070636,294349849,333483026,467201658,75452699,633779876,477296949,841093876,705982463,951864769,294045877,128580108,968141302,668126894,465398028,481547690,730140753,795022015,9366052,617001291,161315906,761532055,198073595,770611033,761962841,245670878,960405086,34891917,904729273,323990374,390600661,348930325,76891711,742303021,760813398,684649067,980679238,576483132,967510002,672872695,899094652,633653806,808412089,325357936,191770420,30363877,965473326,750046900,957060149,699928340,656961759,206884064,654446689,251858829,54794110,61748494,483806899,86028853,3654578,133969311,433688323,175647327,520129763,43729573,982455008,150277621,183259202,359204421,920415229,422617454,252714444,922450343,633399289,618142280,82897951,216752840,913327223,644649938,104264293,747394016,884144496,942862075,696323425,567615652,397812061,909616852,730520162,142923116,361162411,261861688,56604923,472035997,936016743,916841452,565385271,185409964,396383179,223487609,239261136,369586962,934072282,587615126,329627509,875212266,235743164,611131605,477271146,569169619,231884176,606129556,134695630,41570614,359774355,427240724,722841406,664995741,785739428,97804284,575353740,677956140,984983602,780542193,762736347,590956742,580031933,815082539,370262625,873156641,777787875,345783474,507090547,470094980,203166988,373961021,566585441,168828915,107495946,108075973,816739055,467994824,438217653,524648042,237699748,971252258,629811137,478352669,679032509,160448957,810778900,860949063,41460396,624452737,291360350,538371758,145314417,340783257,639853270,895596034,80203845,408760529,867609298,856309936,765902062,607247061,695804953,154083131,256682593,122967500,34357695,105710732,278211725,511598862,689716131,805316414,526239088,590120308,497162397,849835778,713939659,27706041,305521914,26854282,698123545,794683886,760497071,489774239,53651399,632998730,631135611,184719597,188733914,943863901,358815477,390081470,702972398,659274012,113317461,538492171,284936815,891754318,779397322,857726401,56830393,819326574,355010624,575754637,284235991,319570823,573079211,925311383,355422574,783090816,466518536,449181912,918722066,800244365,339532352,210364560,141037114,529501605,216631180,189442294,419639916,435002054,792537938,212043895,488532420,865053162,906716420,604137240,175238897,884658828,961582792,174714252,432326132,966571022,935935429,33828041,852041882,291608219,774602687,104072000,947708990,828447272,350100855,614107629,905097788,228043542,833693784,353979751,766338135,967883999,78676913,621883883,216122238,555852941,699967727,222023318,776477859,263606807,964911173,796277376,390322286,333874821,418977676,483662934,821437853,695553193,942989832,941767318,641716502,280054820,597471705,931030912,552152359,7357720,637331234,523159970,333440956,982067427,194573339,906205346,513054944,737467506,817797046,446009807,863240725,914878502,723839775,229084213,153017569,210700057,33715509,115546036,25932320,636721632,419311347,860255925,584555773,994507746,885066880,318734714,684931715,372742357,832045796,802107415,268872606,859744178,66300388,555071293,219119569,309556522,657431594,658631874,929176600,970860260,398012950,86346441,262872419,283925630,270983892,449749279,620220112,729890999,291234825,518709535,931323992,106056154,761945077,395270459,445890684,6871582,434796824,81635923,223940424,589611770,60594576,335554954,61272695,148457394,309559207,949759811,213823302,851297001,924337403,365970618,386436212,855151715,706867443,396884616,164738468,539187743,326010419,618438310,175474676,262603254,833676476,696091586,309683748,471819350,104085709,673510858,298154793,545051353,462245510,498384487,175993990,442883331,825913798,281836603,40901168,196538300,14559273,683253860,938317469,369653247,840213449,994312428,295805110,344010286,778222995,747459484,765163099,398251475,2764359,906231392,841374732,902466732,512331108,594270891,317593010,722477700,490177837,226231433,498975971,492152800,122851047,255127276,729926868,311904649,742362298,479088109,889329059,369651773,216677683,852744732,550654743,897909975,50056430,976578042,898306519,732550073,589531444,972509850,326285011,555771132,810209296,447473278,285792660,930666322,782691714,115388437,881825021,923263919,137217030,81055805,552641347,917408609,386148707,929471501,321607599,84029617,161605610,87752417,606038575,611323561,480685096,832269135,723109667,578628205,133988708,263791081,364300926,281974026,268551029,972204889,820291250,583981374,622444915,959697889,12643166,737857547,44764333,378503240,502986041,784702412,285816657,384231906,722320791,411774531,722353803,657159196,117070836,944546899,717425608,549472494,960518429,14898641,679327424,265638529,454057009,371206389,961197520,287552688,392118032,4883898,112592411,24951202,411349641,637556859,425267309,821515495,676752805,236781346,438328380,366884663,983016445,551260607,567042811,816893785,296720208,424867086,394723147,229494697,984769025,998070159,540644571,638829724,294255191,18284747,820491441,491755562,999311965,214763565,242744425,904251993,385140749,865252875,72533987,662473874,486855925,407888231,592945573,506964279,508655557,768341643,263217881,89322541,664291514,823863881,232781,403837898,87532616,539704332,12522299,649362100,285770831,673868849,604201049,2708235,262428793,948930235,273657867,956044062,846999808,97034182,937751387,552877003,596711476,638755010,859942609,922050100,659006385,803239564,617242043,815199422,128967492,660051357,95206958,302447176,343264510,998569124,466324446,377847954,450549466,622984326,86555242,364514768,933257282,858764124,857590707,732799059,927282076,399646349,613301035,754123974,944041265,549973193,563996227,917666883,386812758,796559134,552726402,718809059,524156786,106683123,793305498,720151957,837567831,941307088,250723791,396393864,872007441,351962262,614192063,415866742,296372192,969765167,720177557,352915219,796930970,8617327,201387534,379949883,49609947,424451997,722636357,107089626,186472168,734829552,733214426,774210902,681287227,387052438,668400535,261726265,671690029,403785700,207655674,851554383,996638653,313947906,503714724,83405367,923462367,580977380,566734190,136741266,681715905,48941474,800870658,938066308,138222969,241251062,954209998,61019611,512981133,499797894,681749780,648471619,803133417,63808241,185890599,548518720,741217472,811019279,676097245,746738089,589086059,73827457,640275009,842560223,828700160,693265947,214282394,54418960,60368956,423462634,610142053,840322604,80325594,526742330,341576748,567585106,420677448,719731488,976674705,394791953,462383265,356181372,290662478,748598942,943203473,727084264,442445364,336776153,854944937,716042639,671691429,750535783,245140257,791099968,571246774,599180406,530190239,884033307,698605572,933605655,42335382,545709297,939679238,164532253,915067051,761003800,108113478,104990914,931660058,89576232,391052029,210468173,670646264,434310475,952897229,224806560,222986884,849690455,813906271,548942464,112871517,513753228,781398003,321538135,295100041,638097686,425679185,235065810,849484443,484056076,777231276,765778463,367558028,186173140,125505844,272099644,994815320,472934083,990474216,314525737,253226850,822167898,404356770,499070865,92766678,523281194,258812723,609387891,693966027,817442119,798654910,698552539,464366030,397418498,929421026,742466873,985742834,136860193,805846709,697483484,414296276,179328687,530977974,696798347,926342244,987934313,183872911,489184921,388415639,611537587,616305461,316397924,124811265,562495894,279282102,894616789,585753144,972743160,780888287,490620340,722044660,471435976,566270748,824816264,978547594,739746547,960265796,905813453,861041090,290481247,974647477,234275258,406176655,812357528,332526181,403281791,759584031,314075622,570478528,44832735,794934941,322043288,645724774,143818744,756413916,7776126,809190208,77193308,325356732,588486959,279093409,367798911,888709348,852555214,912086750,389773058,13204754,569841391,605876888,569442891,83631956,401137297,938554274,28334601,775367805,905929070,466535994,795502922,828901959,931363130,664806379,447220211,797271066,387611948,392874921,955637897,157753454,749163898,979944120,261694802,951460161,97249705,497009367,56302400,708048139,496614643,59556103,254047389,57999747,711175364,42392900,763078862,355052725,758759122,72719546,659363019,497376738,730709015,391566232,56332878,923069625,514604751,597876220,127074870,185924719,198561236,679720441,752432147,924025949,345465373,934390687,867746166,630474530,434630079,218440004,21824737,599259976,961363252,398344214,199677645,945019413,240914342,489844621,886995255,367900278,103570734,373362189,531465061,133503009,953586097,988486603,179292626,490612826,162616071,737477974,735604607,907375240,852800614,193311382,792151422,526853936,873605146,516218244,520818037,559624625,916582103,384226624,187463441,753367726,901268768,531496085,788278005,851150411,388488237,508394591,79293494,872148651,670305597,946797271,586541005,440592801,708448533,518538843,764833273,804384722,845084219,754417683,568653535,192866086,663798935,59903643,957806300,134799742,405259946,878098442,505230758,361131357,989607415,862433566,616711722,663278209,577556286,697780506,802391572,878816387,907597556,342680066,363160773,570116807,859887511,967545467,748406833,745951985,469448976,461240296,600424983,539157184,189940643,515984268,252879045,273108200,485211722,56597135,566193671,653470761,508193430,164238202,601339648,972694408,156372739,579221273,437669543,66928754,658099380,339769261,61199967,992420677,180141981,579727546,372625060,893614826,978140084,108754822,625977969,120855919,858583275,210301372,75765574,799981265,946659739,312173750,705014954,345786761,455959124,683848837,375075746,522944837,262678737,154369069,1932397,47629132,317369897,891543789,664682444,589167109,435268586,762869958,17818710,411088516,934001886,979165516,282732512,842246650,993340850,765425655,724804372,886746082,751827670,353071356,431048081,389815687,512764227,904988474,61378335,799552355,554357712,503619173,618324717,305713871,969228173,8971801,315780447,593087085,46082320,569857061,448123052,71240306,60079330,958872018,677413172,215903261,550548849,496138400,698585358,316917204,334406884,706566408,461931047,159940101,810112699,770360568,234304677,628994578,84884633,831492234,41824528,344231990,341716178,334146947,968411162,959042899,518922281,43195485,670575844,469854356,502097074,103116892,894314474,900852041,159816184,183904483,996918418,647873817,603415973,651736262,802134685,464548165,668414206,223263759,219937482,74266175,703690050,550268367,675859109,619558211,539879687,331984098,334896150,254264418,954906023,436369613,644734969,7952555,323748106,444453808,489120966,205504540,371785160,962621321,314572748,158443756,551139381,539092408,535157151,453095133,191986808,139927512,415532646,578269353,786938330,133867599,112291463,501971306,112572791,271482219,426477566,334957912,731604744,283123620,624530577,145754527,414463439,835762552,569253204,647021417,899611019,648139483,783546271,722905929,406870660,220177151,257115156,989677424,638564669,794084726,163248205,494811602,485359753,878178186,905114050,237505183,413421504,630267926,308994482,52808018,713243187,886124452,375251636,414226073,40309713,470177119,557420156,58370453,426761388,814100151,217594056,768130432,709256511,936804933,812388850,473934854,694624081,250368687,55473314,320914611,346005728,980124676,196710866,495497961,316320903,222841387,200414894,361871595,570676266,951820647,232363225,646297520,659833850,239985993,302264576,177292934,565641901,275425144,962329430,695027910,91654031,119851400,159195441,161557392,387833074,983930143,718526330,974397906,991245105,464544522,510965658,660361392,690958748,794563892,740799425,484560525,4975228,890130447,850649030,973278645,883604377,943514809,422394729,474644286,188600423,909994864,387985365,836100452,980216127,35184911,89584203,41284190,809588584,392834609,406053847,262945161,368719118,689543145,723313341,594833771,854113230,801962759,924263868,179516333,689370038,619129435,463288876,940310939,850205608,294426239,410434640,255788608,202280852,979943287,413416606,670548431,601842811,297768388,593535978,412553773,387847945,696058314,120000101,160892382,249870248,817268310,352648107,603015120,200726343,757294834,488465117,877828288,193027225,816160229,918698090,877723588,830661574,947067086,487237879,412602533,599087470,586968550,625614989,976783116,27669499,925968038,577413827,628904109,865419653,985824032,417314997,388736640,282237953,181721274,506660923,934852039,394830638,676881626,591829351,316281968,676580215,934774637,837844194,250307987,536586006,319945492,242190462,854670927,389609116,435859088,54306686,182899514,347404925,404709504,601291171,273157726,928901958,380439931,84392595,728179056,147307391,748173702,105978490,824260486,606222038,230908235,507853113,374022223,138039267,379039132,268494881,682465295,118179462,445033808,207036343,945707873,653283208,701420,32979493,554651617,723606642,538038442,802908060,534120775,662254246,767375862,459533641,313612339,55572160,368357473,595196330,176527275,526779516,770398183,929915984,359308751,341583644,557120741,539272575,835866461,642111893,95934015,782705810,843133868,931728013,254937444,866949171,590256782,725184175,507028199,914095705,802593991,245221950,844617518,583681378,226022250,297999574,456146036,568404957,754243669,351863031,760727938,140551108,436342057,134058670,22778186,810164820,343319659,71377554,144972039,316964560,338607310,839478251,338370840,611782131,658871924,797845843,296296199,321092285,875646346,510332912,789545552,686387788,833358684,61401878,685550006,499742443,504455074,30710842,65989194,697636528,577552338,351416185,112366516,685074539,526585281,108019800,603606439,398630793,716404250,112927684,787789448,608187924,752243255,860666686,994180153,216737475,166810229,607926265,285228604,356003135,686409319,324755593,638362380,327146865,423303343,839097067,995275294,794019411,715047648,259778943,778412581,532066866,655613924,610464553,200879679,213449908,902813096,657405833,243672469,713663871,646042560,768234283,38657351,881307265,581846181,1194837,724116728,426260600,580201212,579594214,982488008,941639829,530600100,656407930,506200392,507911364,313639085,429685755,99490968,240441659,964709950,186469766,667489,849569187,846920699,388249274,219981868,167083871,335665084,799592699,507230387,209591964,447741012,117728935,231283373,250299824,565693581,498780095,926751486,593973994,667245156,125018511,287500832,485003355,519181311,585439586,751412067,583729669,347020779,144517951,541927388,8976695,966831212,610478203,671208605,192406388,52371145,995764314,700861945,265776751,223697058,391512192,940847903,629210334,498355621,116921497,281825305,118912899,71504280,842293733,741408152,963656941,756614071,724243497,583417533,985223564,211271657,700745312,574406665,187503581,155868548,756413655,887372007,215345000,513372428,547237403,193670815,365162818,25689577,963517278,564696413,670258591,825140395,611919805,189767611,226843709,82106259,158348193,284281044,836891674,195677744,81146603,900031102,340536360,825245509,61875865,24976904,525032746,464538035,168859021,5253876,781683986,975622472,476142016,429003333,504460684,636174451,87732818,349002446,921100371,698482495,82638598,256185424,715666019,996006851,75736575,269192115,868392192,742569718,852200546,81338158,318387291,511322034,456630312,930531977,849413002,756603499,837111241,774741060,677776139,112240494,256370949,921919692,476101483,284462102,176740877,481263366,154261008,631089872,22426236,192013105,287675435,958214780,663778953,515106458,502558378,436831035,867614321,912100958,624183560,21848125,564694168,930036774,581350659,495395489,161621939,816030100,48020324,603822551,899301731,597292237,220944366,872995943,555046389,699855543,949833631,510955891,170328831,959114800,244371862,870046704,807787720,293926675,155557956,416250671,939843133,202631677,123983523,268053880,274964110,495411284,418559713,855373173,753859992,741789692,663827225,679872007,154369040,882183665,849463056,482392694,852752099,308404077,758494431,979191618,306856633,440723308,229918791,518583705,402544924,357665724,777091753,93701372,794782341,179290858,450619505,774441643,182837969,583388944,807270143,179331156,164307532,120385381,403675468,188971425,96686328,30676204,600749118,662245870,656634224,200781149,927859499,476063090,140035651,506460728,183904040,889657059,910883559,974219083,828687641,235264056,652658202,812386303,909375772,264082892,67400816,110103142,627388424,9119544,166512409,734759070,304730875,303609215,587148515,644272817,405507746,389837295,538026175,352934206,356541679,66233068,92984368,185057855,41162295,660723986,69911455,959136456,644817879,339604125,915527276,115260813,24734560,678416148,399550475,802110870,861183443,949690083,989383391,726905705,333691155,892336500,134987850,140049604,108818016,959038740,502124659,972194563,979040303,146371198,610978133,953640991,48689143,489584557,178298253,14151795,778646568,204051352,709419780,976818193,344671654,676066647,787799296,975941793,28226348,72144130,395027402,393872797,574698018,575864379,538024997,220031105,244014619,832700112,493643062,250912016,483372239,893517567,360806162,676042004,432381047,712324969,568122308,810001484,820306000,550686506,758846219,487209294,147190730,632518840,481636198,154528739,156628209,440935704,632325171,490032030,460447179,30559327,699272373,424458230,63040552,233681173,632838827,967073057,505265606,677765657,429033922,679469304,468405202,574402831,419150830,460999301,629986801,856991174,486829970,141736206,827158052,290077018,289752770,533428486,264474724,809489780,518223420,846693426,284635790,171434074,733665808,542331970,850343871,478553060,791655681,835912982,508612241,185510916,641385212,366933385,103815404,416972346,721604448,910636835,46616831,64536639,953789269,424400047,722422212,916189094,428558205,38860125,957705234,708037860,491511604,761045167,109979314,670307346,454989889,171650330,564692364,280306803,418709819,137875667,342030048,229367152,149120049,501718429,33831039,506580859,952853273,929724643,145058205,934461306,22423321,249488177,870968334,688902745,612277208,396146631,470195023,770832369,212653200,74176796,368273873,161898549,690475854,839855339,498084105,621405520,217360716,372215960,919851856,63174563,662487135,367268789,50129130,387037923,480977403,260227256,731179737,804578246,972236660,17783449,879809581,713907094,104747130,841525181,224986061,810501101,948385464,901738545,672641988,565067218,810612010,711500682,186640645,511933045,408335877,695811672,280711254,691415576,938378229,634843296,886312030,436029567,610139166,506987121,258795039,211454350,514500975,906376134,267253159,813354546,886754846,595669412,382945381,418941655,833568736,573119539,238761165,700009996,984594784,18845703,34561892,534356968,158502379,88702501,572499964,181267077,94709473,133139866,923193180,712314096,254120230,245058981,133342451,861453434,603754123,318528569,503504253,523209062,345972302,558142250,450337033,84089248,356417917,82994929,399397684,300945663,691227340,113423128,264733736,887143386,132275156,900852156,345172505,785737662,329442469,905218181,591326656,903103463,328396309,242327075,931769756,640253689,373480107,139412350,926531359,265492926,833627124,272831272,853389730,513445221,1083346,42816399,32880107,450530462,383586345,664051344,25821752,400354820,663027080,339372648,740168775,425312513,655191119,682605126,389436614,952854995,769091326,710729549,369037303,38695168,150473237,274250503,500285072,350558561,393953017,402075170,789300753,514993484,345301010,953143676,389133399,107789759,881596862,112238186,181343293,924831285,49281199,632592620,158095034,893863227,839310784,362464046,655773048,50079996,175112238,442878970,125160968,156850834,344979195,480777122,708832936,433513978,775297917,222736147,853224447,103387810,985213480,691082501,241330695,817424227,662649345,679517422,555067904,148359905,719997440,848400644,976553663,444451710,447409797,672319064,770882174,906486338,307044604,594830345,227346800,92137219,676048349,66369241,852351550,799987348,86167374,611772364,926842479,17141979,51444996,151385823,715360328,568934839,92890082,165849915,866435016,448231458,791707869,157879270,687208620,317622211,586096249,595863012,838681272,146773905,412052187,134776613,518239280,55723686,206532512,801428806,368436552,998121702,791740334,103467128,24521703,563028423,931245924,618541461,241515132,433440179,325705698,594512658,687343628,261523587,554090248,179731704,249136034,639881113,427969142,828488849,251262875,990829092,512759032,177221410,485324910,247674333,789414142,697572706,547477822,420690378,224665220,510905314,776830129,942087061,22293421,687092476,647412509,475201343,794474071,631368484,532702089,623877233,23320229,463491761,997355758,315270126,561938481,473827980,676202987,682999697,643667190,928667813,413308059,109129679,240399566,303786633,21242048,701653363,628255087,589380695,970619062,567622777,498929707,391786289,120872345,953825468,178697409,180706907,103108761,914847987,891776452,764962593,290207687,973578085,397995109,310447090,149935340,533652285,545861260,472324674,792481982,782720842,943216484,871199018,367121275,498206727,133375414,921176830,169657730,204047610,895788829,25245392,196507033,402978710,532307792,246581599,619639777,977683775,351965387,944747563,892768094,332182077,305097613,764922091,699626423,883694056,114218404,499347017,48343851,454321315,938317708,874743528,414202812,432531817,996502035,111894910,621011237,821140869,246896833,361704938,927646394,384823902,80615493,585160186,778004616,770121707,515651099,218054173,67604229,168657039,388051413,791606017,716016852,255284347,951556050,424024570,536446051,485337530,619147274,232383920,451656243,327224282,658300683,134923492,118503889,88709321,576312939,362720008,154979174,866195828,44557524,343772391,467427385,463157453,567221328,50259238,256626825,908461889,856014399,888671571,986100554,792517767,705561226,658919579,11648289,105838993,179388303,377957652,92716195,891556069,175153150,322508867,471772642,297442455,186432210,977148835,802934790,193686272,367206893,693522728,755277403,506990944,990043328,262348022,848238682,426331918,221016101,763521620,792326270,729030620,463621173,625429167,502373169,361042224,361303993,85556684,354677242,698050116,987066419,300436851,500058453,118118312,534854497,396539753,86469022,413496464,570461401,828540998,713945669,539291484,517820579,509272202,544622201,928524402,269694940,932484981,566257689,173210067,955787170,67157565,581031594,811900638,586839078,339468890,515099470,242485208,824353508,986183975,255872684,742036283,546249310,939530200,946415828,465252525,227516877,348781836,638320049,869840678,392281551,727547485,726520252,925065447,391896874,945067143,626528808,463391501,39956033,399416140,792047759,189183408,223108090,577419666,188886490,409314372,344739709,91842682,802660577,775385922,585907193,173670578,442785603,339943873,725004801,745078031,485678433,337698141,147044095,616979992,872825833,412038078,785708293,369183324,724710034,47783561,672767096,543267225,923524173,765964990,382464210,264061885,540875496,434451230,30586776,756418148,80043325,449063426,709401689,444575640,247407390,28980203,771115960,30107921,772252249,846775980,819004021,676221381,478470256,703337569,209156355,541695803,269639210,505451560,555395133,635800952,235995615,790852180,87324308,382998712,594511060,891707440,190396687,176596908,43156633,941954410,648400988,922583347,114767362,945546002,314813137,13005418,478495844,422601859,837013936,482365461,977488859,823289449,198806996,882632843,452464798,178242855,277193015,287740621,219725053,480087204,852465188,836342315,858049576,931068591,242628187,804452383,379457474,415349151,34134877,75525069,883484808,770930294,103699448,225148477,860126035,530205962,896105485,893585601,149446642,579246069,657233871,659241552,314344696,353997273,266178639,33890620,622815764,192872543,176848281,825968276,656335882,260275325,196563879,79708479,698323720,230781939,568052089,875190194,839714946,8271146,497432465,133297543,248922555,400973094,474882865,324042463,714439939,804994151,76220808,37259698,733059336,520533796,437097754,795386139,922586058,239423412,542722559,524284603,448889212,963669499,693547942,618989640,300376980,471944681,872437016,607328568,689862877,124588470,510073941,679932744,871989319,720087774,456013189,158761481,107755167,777484687,952528269,484906621,73029698,825833843,893572445,716610155,685080223,819207557,55487669,371022081,957075576,206901571,128995626,473408054,170213467,41859960,153983680,410983926,282980694,929205508,755523825,280602845,462896114,690331456,61544344,873908359,567498314,727506942,877234580,803580141,366006584,440399415,811255390,419562144,685640372,753520228,739046441,863913911,522318220,383725776,922705083,135128764,123307110,95678323,671206121,480326273,817961646,352946656,683373929,613342425,982493079,208124636,357262010,39908237,704626811,472249052,58786907,444260276,841677020,40282331,111642996,497822646,891845811,77155903,174839970,285907120,867652085,977183814,50166451,537129325,360557594,30589204,191517878,728178150,45774327,358398763,217651242,279650020,960242923,564023353,604478452,264898023,701263051,482765319,517073597,312169125,980681078,946245793,460498969,541007327,763764596,369828957,111146985,675455423,428592252,576619190,773311791,206889353,1858521,629550396,576164047,994284256,877643220,116186676,550340145,632651028,962709771,324695728,184419501,65132283,399391901,886632022,489068778,907708960,857079288,509314508,767693237,962143335,513923425,172341046,431372955,176499864,616384639,643731481,659508590,278830990,177290528,598169567,474576583,774740257,43461888,215929927,27839118,737403200,549313680,401571084,802731273,52439810,639416391,247800509,586960320,145335884,553050034,504033443,789279436,207527954,972812852,398447149,470087868,910477183,706075787,845297024,604393848,511675477,153243637,172964335,836686006,766775813,17969507,624329194,28640917,795472736,345797014,536946009,437203843,542990698,235123816,219389445,946191066,530003724,825049178,883782320,233139128,747664920,159131373,218058481,501498126,480628427,377744906,360017490,4599842,763699440,612199955,507017155,580517880,195041880,581655641,417569233,691342521,795537087,817436904,83464536,402207893,48526753,641626766,783378967,486666582,573904754,837811313,426843753,685948879,849589385,100734396,701788250,316236400,624157031,595728406,182603686,739976280,52013139,180497979,235256275,83968124,780257230,755889544,580154480,896340973,505643332,220421801,970195177,821188353,925809722,603121721,775563878,408645271,637195277,531996986,131951884,188234394,543644842,323841614,4669286,458891516,785549304,860488210,529090837,61591599,978989798,64128009,580438561,434617,549941087,500739301,546865034,564938155,655329200,306673431,551802106,183974247,402611875,454079597,683836713,173660424,208096617,670700095,301105128,428209056,23269986,820836390,306464030,700065088,529546486,511913502,86039739,874202823,232839817,686925845,536565574,913600253,655562178,376795612,430887132,344960895,802060467,281552131,14313634,246889436,397326514,955315695,162569141,866212734,931225625,197910259,281821694,858390270,301558087,343900381,193763921,946111126,855696787,204837982,51001967,778910105,336079431,936027010,221487219,146753504,855018575,986713871,66349425,388969986,970208674,922633362,105860839,143579857,697883007,355998729,510902691,456029307,876306243,881596365,255546830,200794913,323774204,559186197,416069278,373366073,649062686,901925058,153214038,814408936,445243575,703250814,530599227,558714306,755998654,314751303,637241561,801447096,982434867,748246341,839395071,468253021,634066618,161423699,929407304,697948052,500992041,45169671,437363728,819436689,945945975,429148767,428484734,640016665,416293388,696276974,314857212,787099318,589672242,106034264,552624940,193843183,114926839,496784110,779304648,789153836,859877683,117857303,233653577,197372845,909562627,575477611,222448729,274867843,987782811,674874032,506115429,91898881,67831303,192874664,485177365,259553545,723227732,542122434,240440942,589555874,262053801,735930088,819992317,940343737,354344814,153123596,113653838,91614143,930692310,435690203,792963494,970668837,191883722,521507088,99881613,844117840,79698466,387659479,667089400,719691651,51222470,271198767,116578498,490465099,363115593,224175914,438633568,338611434,562460801,919482815,857770504,137409336,766973915,540897678,326373823,669830074,238095916,290531937,174656734,865750678,570481728,893364613,445144264,146259860,205133219,393446158,440055069,911151685,519676163,391113001,895631812,836078273,469047516,860907448,283246223,990592237,81041995,410726404,472554693,538586876,397895190,214423856,46014977,166935877,748505723,673814494,773209835,455686601,285392771,871220947,532647412,210388814,535507879,425893357,936249270,511428404,733504190,488978310,68310736,313234724,464010732,91355636,460023193,877935795,229955517,4880217,910817706,7918478,133426021,551872990,302050897,160668425,154655165,778955078,670307870,369170730,899692172,117936743,827644163,235492811,6975128,166426112,457620664,550426157,300288703,158036572,801926692,356965713,32980788,770636361,951955391,902222840,295510504,650132753,352675966,591183248,57689310,542385088,858456354,545610857,887721536,992677326,313633132,510513056,422188751,979677131,309665170,604417226,427338505,756356927,545660883,928509258,254002522,511583052,638391146,602313980,641102283,498313092,906614485,431912746,632236205,110906326,11434797,770174732,639451530,748835801,263263255,929415803,637860715,683859254,933935983,452168911,217815193,552344341,829976894,924114238,450621199,835431675,227905664,700985106,158281954,430008815,210011347,675606623,803428910,808448783,405665992,396869453,220282403,550911802,694503555,6020860,63202391,873673379,502707829,388681233,593020488,700138282,232579659,910337697,450908024,161312554,376576220,731591286,524601264,187132358,810250886,143281726,770405281,414267488,417902791,460311684,644455231,182425244,165918109,375315508,91245628,467386188,367132303,101557410,129661789,741265207,983971385,299963259,176615294,990841721,297755749,752158305,714691560,600801383,596310924,961973781,522784858,952973395,620308790,540907136,199891293,371936865,757222258,662893399,906248154,261689317,578889047,434330099,961677920,359898020,827783042,315835458,728740340,697650896,692884790,32091554,4895993,391389244,396767415,822752752,683131990,450183243,880996415,356978343,553707856,676313995,640846151,387458261,75470749,316211098,678780813,233158909,68842945,270435605,716140720,810531682,474602774,546628457,60063610,401672175,763318775,951906710,264292163,610880530,630917876,533273300,493510665,113959938,616910386,625413362,717130036,617493458,814475753,874754357,662415142,43756929,153351095,421934175,421217369,673899712,150339664,75690215,971819766,638966464,908935710,24347656,38878655,396641918,939612598,129638095,202324437,745068693,755760581,598958022,951518347,402327480,259819519,963936492,709554503,360132883,111161579,369191749,180571619,984748125,681495005,649568324,520675781,84825880,320491579,226565505,348015602,491494349,884006807,219334300,680838709,494474319,336292223,181889074,314153474,262457449,340795658,350212683,567498181,547923925,346988838,558843786,302003702,890502445,572606073,26234391,910200592,199689834,386731372,347602207,835600446,568971933,248909861,688971337,175547514,444407653,968093800,313899831,464465091,464797103,944109860,223661678,636611165,372938032,332683147,410115821,889934310,748319446,70611199,515244521,95536253,957923924,627772664,157261551,273545487,961420637,352405528,82599182,267969423,317468430,977029261,529677032,194700360,220370751,389120743,616313227,20052784,891551388,117572729,989454960,111832743,809522295,850160525,500588312,85356595,567143664,375058752,37715614,797544957,729121731,728053634,735241176,587469906,682977679,738490039,649233463,566356354,216942959,625962443,162005011,958450,844412329,7766177,519688816,137483937,232547599,876870507,319878491,297843482,661582061,796516549,124215089,694296659,243650922,652422666,515643363,994660867,830707321,487121289,494426613,177591038,243255062,994574944,227321500,60973858,353156192,389696161,763251468,833865564,353553218,636625812,240802029,179872000,83990205,718153908,467571371,678034169,369749190,961580824,30948862,822460898,423094653,712535888,635499538,465381164,731032655,97788148,146975682,223260408,974184348,43535914,444837567,84992460,754115521,172649296,170809303,369128350,596412290,896418960,409953170,956438401,800506382,267181255,187537565,248894095,249002195,516699693,158674657,222528881,634818839,19637748,289385958,344077786,125244249,880015720,742919271,747284343,455690045,734401708,288094953,927656907,976677473,757275672,642092852,335719371,543650979,66417331,729611199,139193587,414895728,715848195,178265431,411108817,326922939,830495338,787321721,529073008,954102462,921550345,355657777,321197797,258516482,212422097,367416405,533912345,51283149,828128931,202245659,528092845,64916053,947738828,920451580,133284386,593351445,938289451,351466166,438649250,943205113,392228215,67913884,936320498,36156904,526656089,859016191,854798693,138243035,155956801,203548298,184216462,232830157,178896234,853531059,121647360,28360431,663938059,550318240,139681926,411098125,809191494,9869704,316645398,646671232,406191046,527835964,414880370,558339213,206039048,899490719,64769839,711487135,728239108,379292826,914962017,512600176,202633540,809469112,659106644,211000738,963038874,64920713,97402853,461984447,686703313,456626397,727526908,748690819,110907065,127445893,590242054,208626363,777425254,895597025,697214477,251187911,390629465,644636480,39842796,589137810,577664549,773080973,321220689,741958674,298005059,999136415,344885183,136548444,218724621,84022976,539461690,206465010,372999564,389631359,640898717,857967784,658009036,903031300,756402289,222776247,716333167,501941090,200896482,333568171,869592913,945860733,455155212,968466874,784233281,596275233,853837635,157021605,268069090,813677724,735692968,244229826,374818623,557529313,973151867,711863827,830455263,387150270,483532982,605946778,925657330,751215508,794475860,526018907,165891067,982908503,909797118,914838851,194578196,393280347,275662416,747588175,802598465,377570191,408214024,985120430,813173515,883918032,285125264,721882894,922552000,102030883,701827069,273382032,977921054,193101501,636104234,939552731,645777883,619660433,543562896,862077727,721790508,150575405,891728093,386926372,81577195,702500911,917784518,957600157,20957299,694769074,774982625,384890556,166274549,541543466,147057234,25024953,454734480,399917628,842904145,368216882,172423551,669010744,472163724,339850830,195999118,935292849,715500090,241546277,601922235,456891985,921354614,146448220,742573627,404660493,23039859,81872365,665465177,221172138,162690282,78027931,524363102,669433204,814169175,432162376,835079496,525507782,72516948,823455172,666632452,785572315,719371514,716705307,586864749,995374836,595255660,945724333,728896130,584708278,30899272,187364606,173728282,230426893,858377795,434979081,715056472,252829192,245004820,58188436,639823531,588800093,941432722,746174694,526006380,1958,479744852,462502264,429330463,542470693,331263214,645031246,379379156,127240803,190677416,239776697,52718927,693267871,541512151,104136877,392589197,957209983,378560468,152748934,569874279,925819158,234075257,164319788,301650204,681849036,420700939,554849216,106421995,15097217,150379017,784270808,82690133,24097920,106064211,772894514,268484678,670016575,772389510,80610121,593121281,197895986,942909121,355358747,25367399,544405038,381942609,856925130,266100680,507466104,960199942,359338121,277476733,708569503,150730259,952313618,278628267,385913012,970415092,285407119,510654327,819208144,130041473,494160996,940220770,536235432,842677544,344039374,23582132,928827788,316852531,495311962,872484948,577812301,403953051,227778988,911600304,443115943,946403669,841601401,483800017,535280198,684169826,333391457,882830418,711312944,701154573,298263834,200428464,570942451,973946290,517264814,521144879,887668960,451403939,724890825,446869309,350761348,36650082,746110305,831541912,964244859,141989707,452601252,518363412,733120851,229486164,719947905,205984342,433490592,161707260,27376149,739660220,889716281,217131743,689686484,421731112,412285883,158363325,940881309,37149388,55818439,861867604,467528040,833613457,611268775,910798823,431282016,431605101,833191802,653997821,45339660,453409106,161691509,991387701,550569599,860637959,423526771,632106124,837520462,803457184,470371210,708520807,105942629,475376416,568000214,386716756,727941887,998159332,855557059,471228581,676893914,135915545,829559600,54940739,628527045,41962397,83730689,392283535,116906011,37819840,319587596,448050875,357182550,311585833,590194695,567322957,744956905,476709531,364836315,686983024,106663910,384479621,552374696,777973016,982743825,463917137,776296335,65193492,216328234,600247580,430276259,499503531,598437562,53159799,267302943,157719371,475084574,669420330,202597296,964557115,658635188,922114932,180385258,971144122,93607581,73873084,245990404,804407980,512944784,947492282,40664386,438194674,975648859,607774415,373808096,802849308,997000119,482181269,27357450,339098524,922135997,133240092,75859775,557966796,739511044,632754624,310138246,258263012,382956774,618444027,12096907,158280345,634837113,590669773,644208890,36622098,822674695,502128290,595551847,641502665,943265166,200670750,857052272,700198883,781722652,611799401,268262581,790239433,77628568,222040384,791417745,672849684,519807835,984156859,820493560,389728834,570370117,563333242,813944190,840318060,818394233,728203735,667074542,68443062,571876346,865863664,515424298,70284705,89225825,796024953,211299516,638986858,19206486,245064993,459232596,762755868,925548269,176264672,428904928,514998171,914337318,597234558,811121118,646161365,33444346,46993444,657321838,876369593,704093583,793943104,861449567,995385523,477644299,466329479,127909550,746389073,835823272,967604279,66865028,213239399,702493183,144961253,965624821,266271161,495190302,594015762,436799730,631071172,29221119,22948761,648402220,183770157,853359994,767614022,37618073,642171407,362110653,391872580,244809005,433759967,69277507,254473129,796192773,67913432,511390264,328152966,830916949,328002463,171380057,539340368,246885562,118475182,175531845,431019291,668346118,917342657,876785734,776825460,747791085,535394670,376224528,980277137,275066526,107106766,363445511,433246373,376548375,424628738,675780691,380817906,43653205,397271550,818212546,698528160,392084342,863092423,919532478,849157910,380086335,722440649,486391551,788286127,30415521,670555908,555012147,60973911,418278927,464952233,382509398,100017474,983009253,581207262,165311622,615392887,831027031,979263881,417913442,775516469,513631643,806177370,62819836,510271010,13505684,296538808,147599904,378628670,93871363,463906755,75635412,769041273,723131327,936878565,484948047,47728735,477733590,223654107,694300695,34095272,20527544,419045776,481902851,868692715,783673456,283535204,56434250,393668933,312441180,365390394,736278267,182537019,429676919,549152525,998058890,724570387,174004904,631224329,458793397,621178479,769478069,979797085,244695033,873886272,884669902,584790574,670248620,180600872,410133841,432993964,423345414,744222719,104354657,494579510,829917913,551807122,929864822,595267116,480936141,283223566,389063548,877009072,79722379,47227362,800064967,283946672,170664274,710654503,548729310,403713930,429939433,428211802,791359895,70106574,719984296,982584364,485344188,708739680,684145348,447940746,733132311,53651676,365595475,237000270,379144276,398249496,110549441,709642956,880614504,114611470,450558842,167818502,522418406,957289737,319232254,261438802,714759520,248420252,705170553,548203726,866752171,929080744,955528359,416815139,924498222,174611323,20768661,83848121,958755281,821183011,612301920,632863849,230806172,771846666,934013582,862125288,292956065,661678154,716501101,532087038,814171628,916686117,131617618,280995974,571531431,516144896,952847541,274237677,355069352,961976964,99537590,514918914,83101038,437304430,760155502,269686436,268164490,569876070,344893,131604046,898759912,943570576,238006123,884319254,282315028,974520135,372057733,25671586,490760034,681611186,909405517,635099769,404502661,719532465,591547886,316192465,616258829,274942579,671331590,333771723,261635649,146167920,547854058,427365141,891018211,71213464,208671706,492615399,740412641,722793765,875607931,71600452,648772497,48820374,912188134,896185613,770545785,576993909,116284926,80213553,445171747,118177936,73179701,670173081,350493744,422607862,420988921,261843199,148856786,629814130,605116683,705958541,615801998,240606235,830530355,664221750,630545768,145051380,636018365,27058603,694644091,940911461,67706917,33346146,15340200,335230335,694971091,214386961,353281746,228345711,700480486,443781397,477432894,225377796,926461958,945636381,507930292,672403721,887619114,921770428,572657525,964029437,390070113,638716065,646479814,890288101,771582782,871146570,41151076,966928134,92865487,539898182,21076988,57537011,991346991,228957946,464600575,382525153,300641998,832664474,824359508,137134524,680028965,614581756,689634529,328166671,982052474,449672674,723325838,342096595,78348297,113489583,908282164,727036755,395918906,130017047,684926379,76871560,708751226,673646537,542158035,497794195,751050710,579484380,516396499,349684726,471728143,694775557,342003732,379819112,776775123,764639508,145249619,632054073,554432423,373163070,500874082,645203606,521493659,75520575,398238042,729563595,572809314,894871430,492183280,825986750,444274904,475642189,909726612,562234435,491467592,999398990,540760673,717289750,378137303,598798820,172747652,737577853,410832015,228850555,245446282,906758776,367540169,48428128,570277426,194224495,345456259,150513113,517196863,578141764,519055590,234861056,534953977,786758554,947600810,910483202,257276548,56008296,155665743,775652795,419738443,112580916,177434521,713144450,317885711,130107322,651853735,293492120,413691750,461504436,910658565,335072923,423367279,879185886,734825706,425220340,97072690,576990488,677782717,48451478,557805596,593821291,804262439,950695923,784568353,630880490,526397929,856056900,913272195,458060316,774639946,721445809,637712864,304725532,818228795,295306783,184546077,141734298,347906254,49774416,404260940,616087943,58205351,851299527,514815267,846868849,250008246,671909215,874932052,105658829,596133242,615781967,601034059,200800576,472609936,618548730,922440066,811764485,711032875,119874175,280312923,31459506,9328223,888128280,948210273,884711945,331245572,783388565,394468564,922306515,448639455,424031696,144673781,888725445,773412260,55980651,749457542,949476026,887283899,635915248,954298766,126817445,119282390,296748366,343411938,517092783,561087250,81894328,885376708,952294369,385046332,505282341,240520897,739154540,586332761,964068643,773779750,837504911,467004867,277879514,547544565,706654946,299607742,364969530,381748974,973352579,972417896,901835154,434983800,725812239,491361808,476469188,996748598,485612692,194615889,110881479,317577000,88733356,602652087,997248819,283276911,236710787,512684294,899174116,763326719,100366286,594004121,129853275,659454778,713288482,163448601,822658367,818571197,217880612,744578961,763877722,128244015,269348839,955580501,323173465,520327744,769538827,583069894,822591628,884415917,960497857,175971242,83679696,721747313,345824965,514058454,451760551,685422560,399517771,189497699,591031879,38722151,538283024,384127219,624120671,416021080,936977166,690347391,214097696,155012691,525905417,662701552,676657682,721417575,160607534,459144413,691902812,168673408,392841164,891729707,716616226,120032522,852704988,443518315,848085029,690072265,137858086,588933600,70274567,201276973,8227829,172480978,218313439,977158825,970629418,736127962,40574060,970839634,392973445,579743524,51024189,518070205,487905691,548703481,713898972,152238557,621488599,392088466,396299744,442898194,611137602,556270919,307914059,446282217,597901705,122121477,613159157,810369457,572334902,153845079,302325750,176149717,594991824,937830030,448500360,779333101,871936371,242325635,981431182,107514097,353815769,421272989,375617414,879761144,229730160,338797494,723923767,685019054,275922886,972879223,201638664,482877178,361160724,966947203,915675323,728861657,172117816,436106606,478536049,944028874,965517561,951110269,512502652,805433621,460296730,713636389,270316450,564268748,995015860,274474456,405239036,259956535,901624971,543809857,226588531,411121587,975934121,862478931,472943243,780627626,968013732,389496674,722615386,222109894,751411932,868093594,518040041,944125701,718279046,255600702,898133028,927428912,556640216,838238074,13995751,343443251,361576984,425468183,106220729,734991052,124294278,829387760,6736488,138856701,726659744,329581173,886553308,123694507,519932012,814568176,499495310,185253810,748930601,167638809,814832327,348542050,341382591,597484306,77686481,882004056,167963533,194520587,354019464,696454755,331910011,545476836,171161904,681893847,475070948,500870727,960905888,989037829,643528959,11412721,266157382,769242692,819613727,959858575,355004319,350579535,461214221,199006927,545363272,528884010,867854176,639117112,739805362,303773281,760180308,562865710,259821382,411419702,969259030,702574339,242702561,171224733,134168394,416376064,438964874,952158997,433642414,667329746,921801799,950053359,960742877,342460801,728353746,877996260,709392336,100316307,772495649,948596130,818734629,132773911,914623182,700261400,600464596,947673081,288626711,622915801,108004534,39559279,891927177,616417063,833276595,583795698,17784128,642922285,231440286,384990378,934631639,772428670,275317067,453359734,125394974,647628493,982930061,410635836,124569477,963408839,513244618,516705100,257982258,278738716,276217595,374024569,945197424,311082578,91401546,424908563,29787843,687447094,947321993,35887176,897415583,176500769,106785452,525650564,364048765,456709834,725710367,927708211,915724142,55725238,438815885,965967140,166616372,276527202,888056674,630106586,476779036,98919123,747644827,633137544,767158948,959072818,767005742,820174844,540285966,414863431,942185355,759716271,86469010,427027088,747120285,381360095,921576020,940036995,404017953,955523216,57440028,943690952,838677234,53701121,46782032,996699820,410893343,994262070,156493209,663790423,345668250,245138641,14295014,240913354,272731573,504022188,859654138,510740021,466139760,476737305,667822759,150228754,858787789,495060068,145935811,180008060,732974186,477476877,931308206,920075435,164656465,545685736,243150944,995687426,405640124,942506737,551442674,127228789,347458641,444928614,251599645,652445058,737551138,318874287,961279942,285470135,152836401,886113196,418904552,668561088,379314623,950332430,789983493,490685682,340310627,415843335,186006161,300628480,524882353,702756858,678824408,48401376,454418887,405336472,678947615,168258766,955715135,561801735,164780700,358313606,301236783,233326040,297488280,563945631,68859479,256824360,984877417,312582346,868950722,14624992,298388671,877470011,894010913,904336345,272503859,11525090,906562198,424999605,630326123,600617657,208423538,328141015,263925084,404192646,269702861,273620166,623609974,455825440,83009717,90326863,257809756,325398573,322906266,704375931,653062202,463138628,523585717,528171821,127566739,631110592,858756467,984822527,415812759,832117515,355231067,686918562,30199803,790339594,536261496,319221198,819036472,400193195,879428092,739880850,542706540,692945917,741700013,911950049,327770572,330924155,45086869,261286564,770326979,423123221,653403901,144406925,827176854,528095320,986104727,667214927,218909653,386051073,276134300,659665910,474310752,746923623,877751285,150487373,568063767,957944171,517531112,827241901,288534597,474266633,830478552,391288881,263517083,794600872,696574290,390192905,965091249,873253893,763560636,313450348,69814691,732625710,396932100,128157031,534900914,723030206,926766072,409525245,635434259,683362315,308255824,644286965,398932930,688647753,347142775,823611942,564727045,87660128,806093818,339915871,17967514,406349623,677105533,525133380,663457084,151673230,789952213,314714063,232968781,462652433,651618742,368094446,687781706,443197508,404394107,767210684,980809152,515373605,893470917,382559794,281762146,957666449,319940871,940787720,524324154,696774250,40296214,956806407,829096326,962830958,162955450,928364793,531223515,911415567,235539474,673211251,892761485,421116467,832140783,102957669,579824057,74604898,920440161,705130257,752648096,23712587,308440218,824579015,367884477,151397390,298292171,140987740,566688696,830780580,158276255,401077323,607950100,839288633,694640126,392011698,152901038,703332390,117132907,825038395,539066717,79694135,483101461,252281086,567565459,685709104,398776393,646752380,137954988,267851897,430047488,442206444,585987371,106898415,293123576,379250030,14880713,427484884,993348935,155387962,720970279,86403567,53385600,993264607,874497978,777186005,264556129,868534972,656054146,446616186,128178606,531925803,537658690,444661112,885962291,327994647,669047021,797532099,889010038,111123626,7817020,30772459,41906382,780838506,76517460,270782936,660708132,149109201,832742318,650335446,881008384,25034670,436851563,749818627,435787441,248646612,627319704,85262326,694065322,332537284,22961639,297333860,133854856,811652375,455245724,157716576,677134525,979292090,339162588,12209183,565107436,505717868,801004815,626813607,215198819,305967988,901704235,532258330,86837751,889122965,456404790,482414208,258059997,14402699,254949290,492266460,414732582,590111719,663516878,61981418,361800885,33031380,706398217,406082658,470412424,703563842,750820104,999035304,377079067,246328184,888754610,356484610,402493928,701061501,191792703,588118805,249172487,120589510,561540636,387952176,752440551,470694655,388736782,71717417,644841026,297573176,851683786,168554124,394132345,543359417,502942422,822988329,770420818,84222441,235797053,402223637,534725329,761980501,187299207,207328243,146345985,498276394,907125371,310500133,148072701,732886324,875776524,69057930,586586276,545740710,876505374,69812515,525853588,331497948,272292610,905052975,59123867,82474557,573761953,626516409,756572815,889041414,616599665,569046529,144620977,12131880,386427267,744307539,811424916,497676352,838833946,750680537,727486287,875312219,161705314,96068709,601720412,186376048,927396875,137498898,321688995,449781873,485893276,371016724,180381087,77441386,172402131,763861041,885157949,925072166,278724772,625632843,282596552,836332055,411944457,722429157,21707720,234007917,74435024,556614465,651459763,925843293,286912744,16112817,15145827,643589854,875142562,889994196,991024969,800700388,960714507,683310431,354641879,383222955,161296450,217521434,984413807,21770976,399838318,743730184,411590726,736100500,715776375,669484737,88886538,526964247,747752232,815317965,813051319,83422359,50976537,442449158,604191491,159244205,856266421,359274198,477029150,888268437,516870855,108961603,442455987,415679375,20376685,573559924,751660822,14595742,414240621,747188287,153313934,896726148,962472116,255186706,903194400,454568771,159054198,567630756,606500961,836766944,832771434,231960788,547933287,679291107,75049388,389804341,66351917,531029043,49655388,400565315,940283160,330271880,434429373,106107941,313493344,398346407,447583581,135811983,502538314,387647711,210670935,826415045,986518893,37111910,574750922,773111003,1111797,523432925,993927813,394523861,740800974,662774506,383155971,506996163,254696404,608659928,655885548,965059920,846436180,927596358,60338495,729926782,823750503,523126706,191591965,492379334,823069035,95386240,711569148,557616540,264337872,66190198,986626953,215336043,704690787,293518818,477352181,495395488,557279141,426219766,857007431,323680409,475350579,549028588,603947182,982664968,445868661,232411922,246409607,576992137,516543771,947795721,105748213,548346974,973210290,229376822,808835795,528089839,718600147,277341834,669482004,261937402,711189762,116677611,856010057,838250469,388440245,847961863,931878532,954515745,376475218,353571332,105664274,594760340,526504469,619597916,751847552,714745551,136666034,364809804,313591434,185712007,899304358,83101259,676781050,761556063,121534381,508020856,746482621,520139793,356164618,506882821,119795552,213179788,794599981,84820695,854713366,452419675,305295909,287244189,467847255,473057716,179629741,521891933,540993266,240374646,372570593,734197413,579023117,556644739,264839762,537548662,455603315,496727140,5861713,24697704,43164008,913138429,319422881,703574960,33982260,309922162,107928389,987899983,726173255,421903051,971675887,817858391,651150241,407910979,152677162,944825572,385332262,122716067,781709591,838860726,31513314,642902281,315944727,175367775,107184033,518520597,653926664,899314611,44797798,690064889,18151495,906130718,97076335,498657693,141135070,891265736,144943099,563210395,633810518,867610816,284258365,695983038,428210304,18829415,168746948,162389553,80051344,855288218,190600893,805750365,540434069,719061364,641366544,97266810,302311488,510633283,399136634,341620868,399929560,699782030,182213882,368207540,169550210,752661066,266261061,883925024,131016399,650876497,281059901,73445545,761457029,22735002,649701659,141286061,657028281,806285744,784599091,280887203,10449716,506613058,699183085,522756576,503025200,207795612,628579529,439006378,299072036,801038893,856103273,569899351,446838466,656881705,979677087,358100772,351453724,627471575,288731226,252404710,715345080,120735797,935144522,677666110,78591497,691350292,278818736,282057965,399461964,532130104,35618041,112363137,784885731,152765164,221414102,6070970,561310010,271276233,54989676,72175799,768703740,272194376,365325135,204778141,456302232,971096674,491411576,843550846,315307566,398836757,48628847,685175877,781100001,703085825,140794743,133924705,798863563,319607704,999163286,370875315,443242973,509390916,584021769,742029695,262559021,906899657,850850898,399418116,107906093,186731045,731399993,480400310,281003779,930636185,886315421,606227150,889777232,179539585,145105729,805738850,52098544,748460496,311577816,594384448,393633438,899356374,799030567,627197184,426131279,325895813,780376570,921247279,385391252,724681706,366675153,178637344,838377758,374197683,115724703,849804979,78694545,997311390,78718781,734425707,810762486,694893571,815423631,288612404,450208233,917358984,11887704,332364342,44876917,899487119,413346825,693058391,488889320,832878372,211080222,657428480,994036037,340778665,756319265,288159401,787491524,978986288,928974735,849364599,147377334,442280892,366022705,10269902,369484578,959935144,914686811,461856524,103244095,935421730,310585190,207407215,324685839,665744626,578181605,776050212,900938601,106209174,280326138,171209380,682474053,271995098,306503766,582418103,434140884,226900665,402272867,667662745,195825780,721859096,993475237,196550427,240903150,662206831,889021831,999723617,947885906,702033246,228159158,484356963,254662208,353484021,375945499,735092130,692292898,80505075,11027904,961062619,820813110,283110677,550478501,932291413,805515194,542581557,505850663,803642322,619285717,156871076,194542932,7147069,896217178,124484100,71451414,901275434,984753844,928299205,520304902,118240315,350413709,710411178,373858559,861530615,278769522,505660702,492558912,371945289,307632072,789018759,137680047,523366522,490950851,481290908,997176137,616216247,325346123,911230190,687545103,351436330,673042351,867175996,997737551,903804977,64733042,757575064,959048683,593522530,879350786,376081016,579423379,853537519,174104771,154772825,247970416,977554519,442156403,685316823,635762929,774202202,768972205,930455498,137635900,681394653,813150980,266927445,49873020,600886895,923035344,164442010,327248915,179715698,231543836,97165915,15354307,783019377,337234946,264615867,166904931,129498473,549245965,312045758,101312828,22797582,580752370,409021727,943919548,401569321,810162885,401670620,184475351,469549624,780155018,364188328,457490383,163362327,300263647,879023276,698609641,628008279,564922116,172516218,6994774,143199971,523854661,247714264,953290383,497841623,776473070,623590170,705573173,60341577,346019249,656200784,199522119,618503721,795277967,784059581,505056042,861264265,513289101,519765067,968841978,285644423,29874174,86712492,341240972,860016686,414530062,377901124,485564686,177704571,791704242,763045640,761159855,404862267,801013800,944219555,901139845,993613636,314252246,671801902,70672440,53987881,289940084,403065084,108163952,106482753,870012392,53844910,85911784,712580764,356708858,171367686,900323572,250454525,97608162,528306495,254704274,990498601,543741273,824456817,27827532,954310105,222421642,627251742,910031857,936177808,382895057,416660341,32272862,544484664,491751920,40503669,836107242,648963865,464059926,769121444,855591539,302534919,601850006,611972881,979140165,243885749,553381052,177827438,276292410,310817152,196102137,448025393,278242050,552387217,514454091,296907616,751916847,158318124,104927627,594666848,106094293,577943062,297881084,122858655,439927697,943847776,601018198,920816673,7833495,317766236,885771904,562233713,991174270,700648107,976762517,257599700,860376300,833391590,584328417,517063940,21841580,544797064,144575552,907664515,780266224,748956983,680232503,114060339,323307037,555870016,200176913,674776853,491174803,345971411,534396930,710626944,39585295,700401104,216025996,769458332,143549653,518896678,75095695,541827037,734278939,976496190,319207084,425556778,217413700,276464843,76372051,907008012,355157062,861965249,828580717,619005291,329153204,192727045,138408735,591169047,941756171,122560494,329181840,639761772,765343243,547981003,960903026,131425969,501382071,988804151,145240815,328491694,650948794,261873629,166111997,27031805,51047979,230903203,917429588,23685465,696922636,878695966,954789255,996702095,427361609,21474313,883385287,649158820,675196292,419525433,71373872,723194946,542378666,567757265,485309602,29760490,691536351,95163562,545072265,946407347,147413137,813982725,537424949,631631259,44904659,387402489,677960330,170087925,937734942,781629179,541692631,62421520,100854188,234888039,80944970,877169879,187322918,980368428,846878170,938426324,497044097,419778987,431329883,60993369,937445486,927538087,883408671,866887315,709862119,532249558,679122353,346318832,886515141,154385004,197911829,580387930,803192671,904538838,439495268,895007130,563876511,337772411,281276821,214318091,395190965,937129647,472358985,562944790,533992102,215810828,201029225,212787292,571498367,373002366,278681913,780591610,453657736,565545091,782922710,739894293,931805207,686170151,780523613,321633963,243453729,980754933,831846176,322235095,193437521,849909314,921182061,484972433,725269632,732885076,66812282,122894856,929151703,187595784,134116581,405803818,442364939,147003020,92408618,847070081,651487847,18889494,550827308,409951280,858593666,192217490,670443020,752357743,305168092,166856463,320828923,600354393,9151187,324215799,118799590,509362873,409237999,523620319,964118977,437886697,868760,730269549,970928679,896711052,699744316,744355277,780695676,988460097,248042345,609536109,185380247,829478819,70054733,210291982,731069034,906397317,688256037,81942410,274437196,746660227,427196992,311405989,461269573,128066913,81077290,796035387,625362010,821756001,484854027,761183841,122750543,689596821,724998853,442455763,51027302,359866654,725709704,422025525,340512836,950051684,198869419,732379310,765937352,536417451,494367704,499966404,934726126,226794318,956325335,835983637,417455383,812016890,763917785,291753974,677097552,694715637,244057803,625201829,489843658,979610644,897940676,235424080,980764901,533312088,815592789,388724773,719792457,572717977,310728315,952598118,487702974,652463645,979515199,543099113,893678873,150827214,58866747,521861308,857018344,722558201,529529902,514228500,58222062,630151167,436200350,131296429,298441148,315735211,513164879,554086935,703319410,263973575,587423010,395647631,494916675,167417422,687402163,423467647,415543798,507490895,329395860,575479110,692004574,275342736,189790036,539157909,446961227,633055809,190239455,43631111,689442577,318873066,738999267,879394535,82440124,166623378,786334110,421777394,13513984,451723395,126055454,904670639,638916246,582710358,280392613,273704305,16188584,966736517,605185,735842104,166555488,977732994,565184098,667366990,178661842,730135640,457953765,883059544,438078173,215014496,921882335,264126019,358423547,507014858,258266998,692222822,753546375,41722277,449339851,357497165,140186266,690832852,336058965,24803933,998157017,698338470,38199032,189826742,171063555,87058476,875306352,449953410,658202295,620191206,972748440,621665431,248315349,261326789,800892136,793364002,910782251,81304722,123799170,857029897,626568518,679631642,170961959,259348304,485368065,315539667,36095790,28466984,395405504,171987162,737247054,682223014,195034510,978452094,291989702,382236832,233254197,489488245,32178482,439289114,712986594,281385482,810346514,391197789,511001418,172460317,970855701,857505648,498428410,696149869,331226060,512844951,13269286,562704826,973039986,308555470,777565042,114388112,901616199,990068299,786985466,363630169,529012109,639692828,138743113,148970961,648889664,495751395,224003026,460207433,56498021,926191018,990235439,607352562,276080160,282559839,598361928,143240789,307383483,691974670,990700420,815195158,720803819,436220021,32487082,395888814,724559831,482423541,548098427,262227806,739915593,314777385,563707263,802338755,659469613,141295569,538716373,501302430,404228012,564524981,674595966,993046706,592752447,412310540,569271209,644793491,40198801,451847501,610051844,274519416,204389269,200855202,171465805,122570720,854170518,189116675,347395192,993406692,714538101,380071202,375967981,616743949,374076178,596072537,315655688,986446374,242748733,952336456,259346963,380523286,23889051,615373744,69752800,194202427,669079342,235594221,183428934,605313912,995341743,125009622,604017710,865232116,275275124,304959689,508172991,49851109,729514785,759602737,138503813,274397638,138852959,451258444,604027077,266533781,770581028,626816203,603864139,59555279,775097753,386760846,160075255,22869792,9745514,760442514,660577727,836191914,787026539,119816321,783056780,217494854,854876924,904807225,164037708,605207839,764872635,964831755,391933795,129597731,819712474,354902394,651272833,294158639,237667193,226916118,698867120,71616113,609314023,395749002,687655596,1038879,334586720,6479409,536101844,176492603,469297374,241197491,889160166,406214891,88702251,849498063,288582376,228244642,86444501,908262873,446586115,947971571,236852110,565245818,113832286,800134225,257255971,887372192,613380748,65758732,121790430,237723810,160511707,741074949,252411386,5588254,28713888,252716133,945560242,177393363,285665531,881603906,364067044,480725775,108119785,501950019,45172228,312036158,38887388,710346215,483857157,974145493,100298348,192234961,153382091,784459819,819197244,3133952,712005737,411431119,568056499,728048119,716325364,162806686,86512612,715309877,398096757,857955816,88573818,4888639,685144025,325270325,13127231,67710628,33006383,466564138,682513907,526923255,810060451,452370930,654230844,287394957,471427831,98730964,889099179,993853989,306695677,181463606,765467532,381674290,361767369,733855377,959533490,376660512,776167775,873162851,564356999,486358325,529332882,804296216,440856478,344596366,12314977,501941014,103645938,15053082,530467748,68073367,371361185,58318443,300531894,105569488,92854023,497568995,302377329,894656160,952973070,206163011,467957611,416267288,734321393,766162209,328102320,801069738,816046357,284407505,225937325,143877575,638054557,391728259,579021874,18934388,383725342,150423150,806496568,41061338,557601072,225411280,914909141,280663201,260120862,354316099,234070254,467039061,462870081,990021631,196076633,762685683,195545853,601767486,435578818,347108811,59881544,789381570,272425869,538169121,329909867,186984736,856260997,966782253,872597951,756566473,567539701,286533273,729146797,965695685,413623775,161222991,97433187,420213599,891548367,642315399,540200060,547933618,615968353,378368009,267890899,345046476,393215657,799498876,84712457,653497333,953154960,382949496,808871721,694963347,658361016,156742459,155045205,879324396,397028636,847020647,60648701,663823726,567638642,739205467,392579963,709010640,255645359,536822818,513165142,742368718,614528169,593370177,835724989,382664364,846484694,578713665,556274652,383858790,938379915,287642629,798999108,648273434,256671192,235726737,643102124,302719076,677789802,680582044,289598120,683910897,618736954,546128995,505542972,56135382,513046424,46549129,952349465,845497502,767079949,236473210,188608607,443534576,364602264,889137864,207927632,456575117,635770123,249694245,886010241,366879421,776562069,293293689,72998959,76584932,286346904,117762677,646793573,713174784,29329309,638995511,556001867,398694620,64660322,437263738,859790003,52938907,929421277,109938633,165531932,720911641,555370350,576048360,898801139,238225605,270182515,947418983,899159636,21713951,77170778,38468174,831236825,373038364,453178040,248330307,559022242,630617757,188396131,322647286,748986686,609920330,76489453,714240865,670418022,634533027,562352416,777360977,737545590,799894466,315034411,280789717,699173147,793051330,172586507,988793204,227244692,928329922,819528454,593040436,416410793,657491203,422768058,891393446,422476664,456073044,761783391,8950330,683743172,372624872,621892519,361933024,553314448,357582721,282820157,269733505,37405465,820379708,618078850,959954637,589862371,891346219,265244327,783439524,388997403,796050043,827535554,60810228,992256735,421781383,38152656,465847031,922293882,32272927,16924869,240291409,907108434,781471784,865707676,825626936,444981750,837450821,973080770,474262415,647336498,964370482,947838725,793437804,944023608,233381644,315076250,268248928,841493610,145138665,424669224,712213930,887988483,96460297,313851041,364884669,197298275,284604261,592858347,2075343,833448195,442031603,143337141,909014726,838707588,673776879,237121756,61869106,876970989,183036766,613489220,838333895,135564412,12405562,427409659,389416737,546886974,821388532,399667271,10115913,141684574,745883999,48313711,6590517,142977355,703459138,972608568,290156512,494759953,104739161,110780388,476133300,861108460,691515089,367789010,298721563,300467797,69640173,731390672,49282990,558280754,240412973,94830923,892592396,409911396,543275288,597766798,112267386,326885162,124051648,19660270,618788976,577738003,623948654,613153309,448841157,162395592,127878628,569779745,436012301,983540486,343354573,35510153,498302457,408028103,376258412,975884994,927380001,446067314,891034030,406824264,893412766,879661267,262264433,797280423,169880433,246411894,969559200,999748328,384090371,827866749,894454748,489027107,345572331,431389732,961661392,332507513,355432793,107347557,238084605,918920583,97684390,896185956,60548293,88156466,129205667,137242629,140970777,934567897,179399278,503119566,662535078,455259266,703029099,247033655,252008781,860340754,43544047,316188792,785622133,838858491,725196949,43172630,792007328,143769527,554001053,11014222,925695116,149609398,622245056,864121314,599588570,964657230,858869282,25821699,347513860,977312620,516342339,561559404,553667025,885779956,740150857,225919607,97708667,663820050,167459691,393864413,736060706,912060804,720669876,968430375,597131250,277474508,751661181,624494340,337452648,260594848,152238690,314531680,22563405,567449545,570290551,794016679,669818615,612415177,269251929,222892157,77328247,341992212,781951196,841261942,322164168,825789778,142276966,422399944,23319945,455235923,793195271,810904677,246954686,96836603,954208315,840976239,365289189,734111881,612216414,721801060,882436541,783255937,828656905,842064479,152250987,624448295,426190853,921453627,725471750,844060780,272409354,422132965,373705438,184134426,572385700,797663067,381914595,280267774,395743065,170457392,618958668,972105274,367589541,635163512,546588552,733719244,655537469,280539387,121639774,219968596,516032292,864150506,459711926,738049856,374243167,531897836,696817475,247419906,610492730,726726565,545023069,341718292,36107744,425482550,919431850,494271316,194489745,506445366,315572111,182444468,84502571,827570514,813967709,129161077,572166785,263969858,986135893,121864900,544547310,542263575,891628801,392400060,999021343,226304116,171873397,874244388,153753094,978028958,128999961,165458888,64182763,475346051,305433400,957939041,263458662,543612623,789810787,359458757,202150670,722971538,850845860,785254867,957699357,93630241,664388223,995473552,869250451,662940349,809270922,653068814,400847576,998458755,602592050,874352063,539871208,133317712,427582732,378653068,557424699,551383444,75677133,385729944,558481481,974238218,787199545,28046850,25124385,771008702,892738285,26403297,701127371,344790106,164066687,645204653,514046176,165166401,571912177,189726885,744400512,725136018,922960939,476964226,183615986,532937481,296560617,158660682,775072798,318014131,87872803,65066721,625205688,752360777,192912819,17587961,275373371,557574822,729558905,382170795,148566599,878202606,154683890,42800454,839396993,227311543,128604656,901614563,505453437,666142549,271377427,668279528,148774081,883423396,392108787,334941690,305193415,851046694,448435143,618731826,356559174,569670892,725215762,120097410,640979658,521960815,204226719,667628625,876040020,686080495,295106661,824048975,676227338,60206023,467499238,3123613,432318485,605501075,411247368,780818142,151435068,211597401,928568485,55980710,785282330,608361079,121393406,653261471,792318686,407129532,805081711,884108467,46674579,599379977,490246923,727468783,657311088,350330933,804377045,7610595,346283498,914809243,21276487,156560213,205836220,392186097,692533175,256388476,694031306,922921366,581013949,409436852,431512766,943553357,538754187,637263832,124514277,718842154,226680801,59969987,617243679,447513542,152022591,45211736,446862720,588508361,559810773,426242216,956690638,259819517,863866819,409729514,325257317,845533197,70777570,457265305,38739421,435541708,717994842,763053129,316013592,232526264,813756165,815997314,935086234,299467623,700562225,358608426,854347938,410643380,26154659,137279553,971839551,977521961,202098206,498752687,939137734,166486414,283348330,87861314,898737457,776251891,782334858,687776576,586619910,859507133,669757900,600830788,717667828,786364664,467070083,838206857,685963897,152844271,834285156,19781709,153892263,108355814,869871091,487084538,42152894,587091510,973734429,118944736,833546688,997941078,778867965,115553528,57196929,518989238,32404314,523484664,975155550,371859196,69769576,649618594,646645694,418437664,760599709,470612773,171550646,758964466,952783573,566038942,133715763,497006485,770250171,297253851,525828775,406903183,604505048,821325378,18596742,591270613,646394303,949445,386616639,515095414,233222138,335100624,151177654,543207282,566124181,703882814,842563781,592523260,481123935,10679009,384996551,88143477,794965517,165640259,323308963,424639876,517558431,941890920,563223399,539475167,183967840,159951756,134966665,450726961,107767345,534655535,843012967,768250778,858775387,915709842,452981920,552323402,425775120,82748517,516119695,923708372,679064051,84903211,74429371,343545972,96215826,418203980,266533317,260370507,731183177,541442243,290226644,510617523,573373321,17894810,890149699,791099246,44702004,370279833,410192107,561868279,757002224,53797562,168074496,533294742,399708752,384786687,31650624,488600801,441073258,985333900,790343333,266779490,76159696,744000901,937168398,841915451,530748868,738563925,111966896,467489718,176700426,117976935,513527277,310375793,90600497,93171621,604071736,675154965,817781510,628837956,388127847,144321421,176127521,483268465,554251156,28103884,598215586,265024238,945953396,686235635,882803294,474612951,767767142,623129149,169856839,345419500,143030288,257481155,708403841,320780620,788735101,321564779,216964599,618098528,1739454,986273379,876220332,792402926,180581146,648786257,15534248,671273964,527928292,814420514,931232615,906248666,595702792,713900069,752767950,803155749,133934580,28237492,305367141,133193751,530757059,426481790,110057234,648594007,74650655,955198191,855192590,874385837,596537114,430127697,108816368,497225810,318255970,518503151,407042213,925539138,500294105,190812560,682674323,640176663,849255216,101231093,274146550,390213149,142903097,694643214,684449943,428791064,672788147,566525954,953986774,459145100,89920884,560958763,274599298,133984398,812390540,813018107,23124214,384731538,737671000,429396288,374301665,140116877,247680322,705957305,321477566,154785593,339873502,736378020,859995727,965694949,625421623,889331118,390547761,800327418,767844228,934082352,404260356,666758867,391887152,804976308,832804748,674501797,879407665,429393622,739726895,416038773,21444234,394770483,5389913,564947550,847270558,413957460,523003455,94075286,593235674,733450906,717484389,663488342,568164610,868277991,310403540,779683615,212393820,849968809,918896686,994923470,908278723,646845556,325068325,175505608,428267075,307633080,77149702,956082016,875214040,619963980,533981106,868618176,472123848,530441244,205422569,196533449,475633432,579090789,703164848,12869346,930760116,438277275,346230381,711010013,971112261,77781285,197129761,492988204,334954038,513519110,548862099,673049424,466254932,141767001,628522472,487147805,196230386,548163700,19525495,396301018,202257619,598797242,551314581,425512448,80817348,717846489,330034602,330602516,949010332,151278639,287636672,286985908,957796783,926554239,565323972,69805639,379778241,155633318,778345679,57130281,583254041,431817577,119982068,145362963,763099076,600545501,368567435,516731510,660908924,825997714,98264328,916872205,482535230,575811296,413577619,929653249,167323421,831113783,165394640,305298277,748188213,412413753,390449666,208271985,464121130,435565884,601565201,330271472,9805749,476491711,769426265,94980073,84888109,541787076,645150266,176056137,348376327,201197043,561151641,390525600,58563420,648515989,544919012,6374542,361737439,769191617,746267424,986062802,647932145,694841391,757278368,698996101,783975820,963228469,739312089,750488155,625340341,481061088,582915163,557405892,160978943,49027742,570506441,279184513,559617002,884689427,331260434,561943754,659701149,13521230,269861200,465438535,414963660,260351235,615206284,22987255,373713119,989643229,462794845,841373420,793648426,689862652,431862135,515158620,907671692,252861163,75962683,324743059,109651070,122231047,861695220,949900666,111657605,340029945,750775081,743301263,522708338,733250962,45469927,746762169,442144189,92737397,203370794,808324701,995296402,886333667,21045763,968824590,315812454,433416303,397518113,661756647,665996821,280768907,55496314,62789534,96667421,311262795,414763911,607336705,430731748,573181241,832689681,921856481,997916216,754219255,614746984,245882767,244795793,184091179,20294712,906040454,820013994,126398,174143455,645013367,637271421,519031774,329863761,810083469,913068927,326023927,399672736,336659137,405089130,905063978,914002695,411510847,720798797,583851634,548348213,211898053,800023638,891373152,728720849,715513758,376857753,218610096,884416707,228559141,16428912,373683130,476096933,304355713,952268771,452086021,580692650,298249414,547435969,407169257,147153438,895933765,471816602,747606417,681544983,946808150,517218615,568498116,475745676,341112772,806390443,123394172,725791210,830755668,254744631,735217522,978511300,749208488,587912008,911952324,342924919,221774881,430678947,800217803,18658762,587509766,887352779,650205231,988995474,886518436,175242783,611470329,828721808,201548487,669131527,68541894,475408519,722448924,798685023,858861714,533320902,594669921,673984394,583325363,100243908,280475273,464327534,264753686,450059429,823758976,88758937,659284670,184407921,515882506,881234616,655566539,730694100,84262147,933173327,190185637,873371834,907881497,495801247,93847099,102388760,881560428,866557307,98863117,992720055,194188293,902930642,520999805,856346173,515791440,714085294,382469487,456475202,219429564,932079280,684004576,866400899,751750696,10394689,413936319,335674410,550256580,82409787,421669629,567409406,468326495,772554252,409132740,479468303,541524899,470579547,388728038,18058534,553713413,820274706,507212585,924425232,587914240,297907561,732170780,826802852,962039174,314789168,745533305,713550267,429115180,981015931,119523004,462467952,693290073,525183166,160014523,548275957,108749219,863109294,478798920,781033736,896884882,354571884,499946143,604953206,707135457,960709805,371644,726407050,743900716,450862803,319501780,212855034,609338781,484234335,617436576,252229965,794414690,374667571,143705731,259490979,80491355,578891147,807481322,795609594,286044049,637771722,329346168,828936548,860710537,43521261,675101534,428503351,965647864,385605782,35365558,69009574,620101598,24448726,754432615,227775014,23043207,192097769,84913585,799999844,836290540,864107702,195108140,478641369,779903296,553771900,932239809,833379281,282570078,260834726,985887528,559381044,871816638,465538162,305074371,534951628,747725895,214050370,434099076,333144056,850430845,292136416,54311874,875600733,559443580,24898882,879172133,878628314,737478569,459759138,383481741,291196584,764114630,175261149,388400003,771958661,488794635,642576096,374909455,563225805,598859208,907984915,700317622,731275242,978889720,387219744,59337858,674362482,138483923,781382256,662490316,14446228,206731632,44517849,622434319,727591295,2030702,145189054,445189403,584258047,718771582,200760019,830716513,209739329,876744918,232225161,468254971,517261578,799937660,807072655,111592634,68446445,226674156,728936229,228037370,542491144,114359892,280129992,846091257,667228019,167942450,494725086,671974136,614488391,619505778,713178374,229424032,804332676,906774859,428368582,239493666,978509828,276500418,619227605,763619467,318150750,707080672,429615871,283906113,926086933,21787960,946290072,138776480,609458039,423037733,92989616,693394317,750255391,318119310,827325213,204491938,870326531,336135176,458568320,217125137,707330566,586046741,510945360,672179039,882992955,660226296,249734315,460963464,260740863,387485121,533477444,829484530,254710245,687285260,675225955,49450508,933396766,286984317,78814429,697375294,180531523,126266492,163424336,965744791,548658442,670364314,158609458,545967743,607479737,534032031,757540074,334652182,234884528,320781894,110640926,610657211,930713321,379146203,344771713,235552630,102697584,474954785,657227725,185815963,625506272,802643078,259402637,74022562,447322505,542340405,381156376,420300475,271267431,76247478,1037096,342639085,602359352,592212644,268474184,838319807,594382379,749701190,874884869,620444770,899436315,221852562,86708153,803520601,479619209,275533326,527261152,24737067,970949255,524556148,810005832,737907884,173159116,248509162,602715244,234744721,213374871,284562739,71600292,992768388,950666793,925143060,380501043,851563748,69796453,823367043,188615074,799073991,54593723,46691080,126530152,582325058,643690380,759648473,588945749,234917306,386671336,24390369,872017064,669869696,400906489,810166757,198571376,333466111,987535032,298914222,9104436,42254869,218357870,497676527,243195341,933518363,822595385,474190187,846638892,257835937,104901385,147440677,340438547,508406464,616436114,351323622,596098501,593615204,957006851,440950114,250926684,692197290,551088026,483295970,85296948,545839596,137548448,577626925,738069150,975267278,985090835,476774085,879241177,983196568,745770222,396745682,592346449,656298550,635813626,449868860,415109598,657282870,770049378,100300184,828370833,841948778,204764325,779508966,58957202,779736428,55622092,699985522,782802804,564341341,400534912,289284553,386736361,10465441,5737442,297967759,502823425,822487894,72313977,225626944,20513366,108929526,607118958,969435315,12564543,566596839,142643157,981190087,948147040,541631485,485114948,510761708,997715562,303754547,422270876,715699865,796732507,218833340,538194760,980623153,608191519,784937479,302234688,257584217,356692867,653171800,38690464,738966198,295549448,533250839,63152001,302876563,756038515,891440023,564170037,33605722,48054040,719955702,403329310,415419235,747132963,472975809,339240821,751223816,381352391,120738605,783154418,586147718,144200159,481543492,45057972,245177870,449539331,857332904,67672868,499782274,400236293,504511688,752898372,342129177,973178352,300249907,561122341,635207847,327492347,580514432,613365397,473038701,526380205,298506725,375106204,135562995,5558166,241545839,83147683,365947353,126887961,86107783,906661031,717814396,6030185,587863558,869215132,410589969,656230109,515283542,990068493,19500818,940124925,334283943,341148322,730987678,149251031,465189712,35753195,181667237,718627781,551350460,294085287,998062834,687171390,440417558,260660568,256456963,173286123,165577075,252990616,96816550,998883680,101845254,809734698,275934573,799572586,761625872,123187779,460094424,663392335,335126774,850070939,854999325,780184920,36756263,466322169,895024627,203722533,464079809,756530670,986042611,918297851,998636546,194216613,225076191,871241355,188121100,458747435,162984434,924195,628229240,966361250,90914124,895434155,231806630,840312514,718757317,708022374,195499584,505831636,340250478,272532988,666438592,511952191,484352325,541170434,851702413,392435733,960921507,727163473,715065297,722887525,157325552,76537151,916805366,739836340,526073806,52564014,603857096,752038571,798245592,168972999,945903841,449885112,228916421,85790551,731477363,493354905,997696337,812363035,941481425,921622378,865613764,901895356,535753482,117563951,579753227,804723907,971400807,533432436,749455702,640692683,504828106,612273182,885852840,625606035,723132352,486408203,901475905,10294593,528222438,566319066,275528367,146900178,192422710,694481158,2411676,114157006,199764118,276133451,203086809,378004186,955189728,730819734,224361847,757397519,772247497,610546072,740993864,948916975,432011820,194718347,341265835,308545303,216990261,351218464,421229639,543573844,159805567,433477934,728562013,565412384,660024411,647300498,50320269,194972029,551146531,465029853,932863763,650105045,848814264,468226577,748774021,505576531,482819932,283946969,787750360,67672302,88854574,468831720,828568788,914726275,580346697,991267223,161417262,866066234,873859640,371901394,876800861,534687312,34409423,313235170,571496940,79515229,503313538,518915929,265013117,514612991,658076123,64967574,857424887,855319071,181759201,245501566,423526924,435817195,363128806,70830659,841781162,422732324,423020470,723887142,304598103,183162885,964369580,385797980,181217533,581143418,599274425,461660935,51185028,927424407,122802114,134761301,976074526,471314284,309031037,299880487,595461537,615849478,749303606,416163084,682367829,741837186,408006481,677440643,828079620,315231205,738066905,862196318,772475459,434365275,29785231,26556306,490342109,318751496,120328776,572473093,493397615,535093956,137836418,381763508,793961720,60761203,435919,743668271,588021863,109318051,772318998,97647125,892300701,686308019,301639038,572214987,791890999,166324368,438485993,788738812,239475011,380805978,166923619,41150339,561646541,315235499,46801339,642128077,710032980,445607838,231060973,856868460,431866651,461532122,554829729,804090512,924541976,3553285,281770699,233149010,465841348,329975495,804302827,71354872,103168910,243686383,676908695,591164460,448406685,830351066,504654440,583013951,888053024,29334340,308076148,357545526,978790409,802661059,379376424,410012834,937434007,821496902,624630212,459612166,55035634,738705509,841764340,281334857,13813325,908655323,558798752,32754814,25153591,940121062,490327123,936296837,83312785,175799938,405457906,667817809,541641430,65935467,611649462,259881811,459327606,761633945,948899208,581707672,700069836,409557473,628244320,821182310,402651838,765219360,831345335,641024574,419131833,231010283,375125431,386085464,420194301,646738223,860128496,56074603,554654327,889589109,547358187,13694140,358128442,522947701,114393503,480953780,652544843,514342109,165744003,449432101,691182025,32211816,201609502,953778723,842240936,591118275,66369697,711527349,156714315,736677390,584720923,10449065,757740841,752927677,760500470,283713420,144746051,925832671,132657651,851363353,866275624,746022256,982846139,244668596,558235454,697586679,52822042,616800456,28171664,62001361,675650032,851653440,397227487,930402797,129900309,595060140,763677145,505062000,850335362,81450747,538160990,710431745,5263649,113351514,821208069,598383704,865897504,626631562,441766021,957064908,62872823,57838426,777244737,151428974,265460418,457109486,644053295,883019010,985909655,704140830,230079619,726027258,292683,448221228,635515482,423201379,992346281,676552408,460655475,383830065,209046692,848341581,642078984,780475489,524870766,144814273,248197865,190806276,591452523,931440879,370141432,611960411,780515039,465074224,552353212,18053522,47077437,480213866,115238271,165198872,469604725,697377376,297681903,173225767,604917948,608976295,170550754,989637845,724226541,420587531,176057172,707867567,190785073,999007447,236992522,917244832,874161868,549758361,75081478,954160229,280161792,607883447,254303672,101701578,421330032,910777984,295325039,481073763,715373558,35221157,731455799,761419152,371348939,247456145,329963691,600066153,977533689,956536959,327976985,668147859,914318433,166047794,150019267,739793118,568796048,223985076,630555746,886367856,449766888,528145246,849408814,880142430,166810634,29354883,268004055,186500623,657913635,438481589,329354704,797255999,312529890,465868777,555565427,812979244,451063934,900846099,804621976,936298913,205353453,787924275,715200668,678870843,321438419,623754229,813543888,73698122,84338888,56988708,538463497,717378686,400889952,956514712,524095332,269186414,93278545,685346789,813599436,825371030,837785813,67011576,966586768,490097547,708133253,820441644,238448156,626362054,682046757,540883368,626276746,303820628,851367382,316265608,644128299,266000812,376659412,836977402,627192730,962657417,74704161,39383790,702915661,553241178,441549278,157230877,19157522,85347778,77860278,53942706,462699429,237503609,144862104,760520253,594274566,960245161,378462891,999789997,515038745,677221435,140146051,143089556,806761971,712797968,742689570,458271579,297979077,915237857,890306143,824689473,699877399,554746892,710140849,409396529,976871914,639445115,239240971,241139765,404045962,458020250,807916714,554806331,220091311,292236554,138889187,177906523,120360570,239024630,747840369,435111797,334147145,828903060,516193229,871830841,252330124,486676708,218669420,739789150,856954502,666852814,856690389,344911435,476226993,256804638,408458139,309697270,688620610,751795784,906251710,70378518,421901648,423089935,684341436,991234940,971455081,339826746,655398735,177366935,919107683,795701080,911044276,174614953,18210176,137080178,471556323,192746949,505456262,774418133,252559193,65146588,846064683,800719105,475402315,709472614,937377085,924367161,769621634,473963953,471857394,715052761,383137386,576835487,221363912,65385892,376712725,183304550,176005803,352824566,262018865,860754519,574293743,98847027,316499344,586136828,537252227,769616879,852009990,443119961,213882916,649360831,603076659,896127783,840845054,44859205,759889313,255315400,120145333,71783670,131788600,949155960,712408825,56079504,376609321,30025570,264909088,938573746,299864319,910938941,576712961,138560869,214307082,631887622,58518897,127040537,618278152,729395076,913451477,452822207,160153925,315213012,451055449,335358119,551706402,782487802,575777513,851116423,396667945,671140224,951193156,303078567,233535935,537334391,290017350,427761441,261317762,572194498,79463172,491864154,823689051,846719374,214323943,604677161,286113118,209333363,984173469,686192409,854990860,92580437,545786489,243797129,842352387,106861178,20533317,846866680,154752522,46627498,905092065,112196,299637,958985218,953654412,996002092,304715647,392617653,948913678,838022163,666139215,990628967,505483582,13508762,932609761,50327245,846537776,661890470,956545272,50409495,754730070,870931605,207863377,108049268,429717296,305287530,870644795,366924870,951257041,583622161,261079607,129703276,954029183,821580060,401848443,565564915,570627690,467987242,30608258,328516103,37993054,203628152,939155506,328733924,496103455,559873118,218361831,832865970,17005262,826617130,904243672,29210576,369611000,22287254,114801494,137634774,653634065,498179644,268288701,595607117,330426919,809754252,802750180,999882259,755989653,661772537,444492213,543579390,905529044,912136076,673376691,727233973,125844358,254887923,228029816,200884561,780767002,530716216,171239914,129772458,315561467,183521551,946656463,728788777,921436729,92685250,865205865,90568284,919535057,756682557,241027247,496123527,986686686,622353091,816531309,641788641,113863053,824067199,175917024,945518523,378763368,765437765,566214200,905111981,336065633,964896530,229729320,264724499,919807349,402990775,862894669,328144965,293226084,753516422,975263547,436250986,754949620,235599301,76416058,162755405,36460248,327077211,886401182,76319599,722675368,15723177,682007307,103167861,562479365,226743732,28672937,592801503,172154553,906183274,985646043,100560061,621730335,336286168,415185279,646825602,516497177,961205757,649709727,276291185,563866038,251934214,404407379,201707822,315134183,249898647,845458949,249808810,820350289,958046407,808483550,834601705,960860877,362231871,729135286,56050104,916397243,43502541,742074780,468050630,983192592,521388556,521705118,977907340,418205653,311325120,553621935,282316769,391798058,822361849,252740974,461523576,770079300,574087539,123519746,56744740,632493722,872560557,899196234,573997690,66892146,634157034,848795551,576204029,934928695,420734646,786245857,858900441,194159381,49599675,645151056,13834884,746095992,251297453,137815873,276825305,83478808,415452751,627491810,500696707,215421927,569683404,7315607,476677816,553279272,870905158,656079766,715956957,470604357,633304086,447442103,389665651,883434394,369486533,383585845,425063276,656829679,3149353,611379346,665538510,167898998,514367815,894402293,961329947,762491758,544600686,580185081,698926463,606059538,50592532,502797252,835755700,691872830,225546165,720900551,441681401,833351745,416569219,439665373,380232098,55905686,105478414,199512684,920533599,369081545,398399604,44258562,870462807,858711053,807030750,597624967,271641954,841324805,170768472,848099668,58233066,522308922,18490830,930659160,275917698,921881562,917305946,855442377,995728982,700743290,640129649,796806617,852901832,548436388,895590995,73436958,248048912,729633410,788092345,976173698,69365275,750000106,231112576,310621448,872577522,839515904,766400388,462375429,891578682,692313596,378147677,340085948,980709520,750038540,223682458,264145409,977324712,424408416,83305555,884412584,347202360,564886574,544349421,567850346,459022203,780707538,132472997,651729288,468942219,481477233,312762752,708203638,469477097,264716281,323856517,283556647,345747631,325638637,627490152,652058578,194437580,228350139,242177010,682792262,843197226,532684615,398492937,582811868,960024370,3682272,541541574,173609987,921728544,692554983,389344105,777700577,730547442,826787612,962814732,438300416,529579866,594688593,156694815,627686985,855031500,31644694,96488222,134082955,707709593,607750350,22689561,879135776,679133237,926060167,31382625,736840376,985484680,951369344,392009873,126616281,949945405,93081454,12666341,136082075,123809054,922038926,748581935,830478038,405831082,521778741,175857563,577794762,721455112,383875519,756280643,408204345,737629043,749558627,602290816,641060327,75532022,708860993,778578947,153269542,776843632,496038364,922902241,725186811,344339446,62375307,179087082,536565888,355473280,92670008,898950539,225375705,849257077,846738997,229355181,28959720,700976574,602412523,69822858,720127373,463584384,205872666,326555065,659948270,75384339,23512863,488383871,834840985,768666741,81639340,944222223,977470708,700833526,200785773,969731118,271208636,173033101,758481502,656826263,909943206,55876508,561507577,965685084,311676854,559979159,774768246,43887246,806268245,853642353,987938803,261981652,250941057,583312314,538444293,13555052,160655765,343808538,820829676,490615677,455879672,992125904,604424219,411715709,191984023,810807789,189458942,397451293,215015058,900632027,939317370,32131876,371816645,583892115,500603678,352207975,327700254,129051291,121558358,702080593,30960284,304001634,453883094,263876970,126125236,350502928,337770019,201403672,103397166,55793389,610930754,683959231,155749740,810719793,695139445,229632327,453902410,231059761,277856389,136217145,595790665,830252833,166478312,707203500,673583692,200683664,940157830,551650320,224316319,550408584,562947013,67402908,883226423,486367892,917452981,467827665,71729281,700758438,366271748,471514062,803372351,196582062,148624990,122685977,111083022,837318354,357710970,584286555,890564308,690421114,39146276,708554139,576243697,594285058,859057347,400611209,582910284,147284829,40394114,805970330,756863230,325865573,100888483,356923159,88377138,636390268,523434050,368152087,624620911,579431353,42497043,969820791,299374822,308159813,702175154,939335999,456804068,761602804,943952152,997960914,479018906,860745522,554536931,149810208,495559878,857893405,25721712,534519131,544308690,32299516,188350752,972140613,655297387,257296921,917764592,335672895,280112458,325358770,607886021,293396687,188670220,835349532,890719274,184008301,707433688,38456533,887664779,756760519,882256116,978353484,264497750,152421396,521376097,803685029,597054891,802781125,396403851,504697923,91482447,268405498,549995692,551306558,358047053,723338970,515716889,398558332,244403812,463457169,123666112,505452231,855514358,901432864,341412349,14461591,758180969,966753962,647028359,808997039,938766646,487492906,516654777,72680100,111521284,52485651,12415555,760356278,425994613,667255866,690981038,790293942,834770437,649385860,416399555,871392417,247490400,435762999,328613005,184355384,253426420,391886819,523644636,297265913,438550475,418261452,532418530,857765117,585071133,919004433,358601121,476249662,699880980,655916721,468653762,387409869,920452553,921279852,260019161,113284527,871709053,958114481,501500363,440003328,513405792,95510357,786732787,709988093,321287583,887042288,44150923,779942807,54525564,792932326,344066674,476623299,551038752,143835553,199052933,819277571,349489093,263085058,35096467,705374463,590501466,448354092,635017452,587910394,500844935,400636400,585228434,192754503,794340948,453773147,187174836,643711159,319272695,908856553,192860718,401898617,919924294,64667169,139515306,340432089,969703697,874792247,434625948,221246614,748172402,630583578,614532122,794315068,706727110,910548502,336155991,750454626,402837668,12697623,329681015,273807737,502759985,425288080,902748163,485834251,620534362,863518169,835003766,284927718,338536546,20561896,222795812,245147887,880655975,174868338,416200790,626684292,247184873,857121725,973289228,253320204,201557228,822321103,197458093,14844656,509796552,936617439,592838062,906237408,261344098,531646160,303351859,785849058,860382814,554082673,949009612,126467059,810482477,663764488,571523311,795694619,782326409,104361127,272416162,213123402,702204906,624352306,354169893,787576070,626113079,405737501,644873493,272345896,543712582,596540508,168217505,272709232,330573796,203685204,302278414,738187848,425899921,684264826,316570898,444051648,692090960,855758863,995080675,568771600,823156484,66740492,481695330,51974606,701690716,474102222,475785291,769990123,661160432,595256715,574812299,654440248,98803644,928201015,960328389,684898983,315013302,139869957,24915240,3327391,504233458,719864300,681960816,573612168,606992275,533432116,295670418,945518849,105651347,38904965,886932361,603389563,242067801,35808766,860453644,934194387,640536761,11289302,265442880,17875945,749340994,742185679,438688316,798298457,249657105,848926801,329381330,764840396,593585385,944333965,412487490,153144171,782783295,798540285,285437524,673833636,180518430,316423825,677448673,573867014,669055326,600682247,864390637,754626024,664383295,944319188,950222490,640079717,722034505,245102806,370341,614727322,638716774,975417037,794012652,187917292,270626440,804279034,437630378,514739973,593759895,733882943,359213002,798719033,652726125,298339457,659843174,460104375,381089534,650612100,185717258,428424159,95942198,235157387,945979648,405497162,156669756,556813634,766100816,445630904,336472665,30361939,621154778,932609491,46497215,216071175,14083277,89555529,729334321,484494032,940734432,781643290,763625848,387054702,920403942,675539297,174425054,725116467,927926536,480359565,86840971,614263012,307820388,923811961,556143527,162115507,448855786,646450586,443432899,632091540,419008352,466221681,735492634,960692825,382541874,592446403,368482601,491676940,982953211,366144489,345258442,963405787,515688992,860675361,143401098,94082829,707206925,151207314,781234212,222700841,523779611,151216736,999524801,301081266,75155613,692790736,708029103,111119756,449069957,465097396,620487442,127143948,261124522,261506679,303449270,549125968,770971328,511720863,453047503,725735678,767628809,105599169,299842834,214008243,359908293,162631409,10365878,915129137,901414871,512015043,139292103,738126349,659331747,645832921,856312599,675626293,317600409,220197527,656543482,687296054,185464825,317914996,6786333,815093757,556744207,616176295,778371215,285773040,322746971,657830045,751379694,243084447,452185644,828335303,908896480,989115992,263856708,118931166,887386521,216721561,499166340,417858314,579208406,50902572,965903349,882045655,599817827,109603552,766176808,593687305,32237903,443799839,375924343,253007611,822371475,176051481,236858610,324188904,238383252,982724940,280550866,465577771,676680134,105197358,378651515,380094159,77092831,580002729,672434637,713354491,458945257,286382361,808766109,453641881,235715524,81306744,329381221,860538083,929289283,295237387,536837977,590161724,650000477,950168814,226583369,432854682,785626293,507697490,93740552,64380398,686537629,139958898,591427240,869325601,232247266,680534858,715044575,207612560,707820890,265557402,23597233,333420463,104855902,268362180,997183233,861625804,489000164,129006841,671428203,392068678,920890315,384091965,482159835,60560458,23331273,922416045,958922310,696965753,39029891,585043915,503178364,408319234,99895195,776333395,343207165,965161290,313428793,392884010,794715218,828029117,988037434,722617191,178831418,590307004,768216725,956036514,497056124,301056276,550706736,181028595,989654714,323579353,62843817,101353434,485720308,229437677,844110627,896490978,588493838,745795723,360503327,770966554,20853207,154898569,909746246,972072696,828680471,358192988,52940671,479522307,375247654,373895078,145385344,521079278,994480575,395003018,527329108,181736575,235737143,852098233,862066536,586835017,852518001,880317169,564304326,827997520,120717853,535836825,129227870,255580066,638769489,928231225,809510793,157254495,584274839,588192060,965473119,168133090,225625917,650420338,795559173,142888362,363973227,635562520,504587634,314477625,585578446,552135074,476298191,518789654,294229216,752188167,768694030,532171191,769907525,97819289,634700441,593080915,726308460,715340765,488032457,377980928,180098346,57624264,94704566,347567153,285369683,539644556,391756821,839765483,490497563,548928943,599003444,427583169,574957892,188450771,626950102,466792327,798362000,664567071,460952522,711663779,731800991,237964336,176285041,416369888,4811902,371781935,342373965,526734537,182525197,502545048,603679606,88271057,721554294,325714682,487609392,652514006,738087946,868034025,42095323,523696837,819998166,326586990,887181837,282184313,555043394,574333765,985659103,75896914,272043476,578467640,186783044,667756373,303681052,750168624,570328983,219074870,290923010,326701642,427682597,114765056,293460151,260504630,677079279,136799069,983649762,323244950,650334982,538198163,297197099,79550470,324411624,104250671,444079167,274272984,452337385,884351633,276438210,648970476,710233351,887946651,617260135,432707,415558277,549334312,218592370,451701990,112894421,768432515,743031143,816216242,20441344,335324430,416168274,396355587,639550204,156213013,645077861,861998967,357809780,19732213,189312310,877973659,424517645,528848367,20491617,90356921,911308032,167638020,471744547,141427407,966500949,451357804,40928490,283877779,843801933,999146454,755296802,765770991,270435468,215900742,516595976,307149994,164694938,415673216,823965642,328939624,456184575,241794084,997688795,239228966,757076469,446792919,697030618,860717887,142353364,345253514,387137624,333367922,382343136,353897647,164047905,151839930,458558305,110736036,716061851,721211157,345059634,982146594,345627108,105917876,602898134,47064089,285569692,569800832,179221649,61388578,501513428,23575322,795221002,61897167,144053055,953331385,44186969,317469024,432661467,695896867,208608683,876360916,550493793,558870302,359003314,942326196,20753216,786958411,432835606,316645705,473169149,557990056,259878585,893245072,782002623,205011263,443161086,229300296,763698940,335210098,987528918,488116168,72866843,257486222,857581597,227969005,543593435,276114744,463412339,317985327,632053938,54683420,836313861,245871923,951602923,34506969,617218091,797084729,210052371,950493172,203852702,295208819,397310424,143770456,525612819,764982533,746814756,421536763,970933121,188574366,317733612,613854847,884990256,112707046,526901204,20174694,577531537,499367341,767898116,369468643,813127810,614179515,207270520,614991490,718624615,708358199,533269592,25596282,926864664,50202150,900377730,600655245,856198576,521745716,113175124,76879721,703080383,750792369,54354237,158229527,826972470,86620541,231512828,35719184,285848032,381313012,430182972,397784744,290285431,147930931,857884080,749614548,230805231,750500414,741368356,509127710,250449003,652843003,779704416,987207096,835158721,416430411,855312022,956819922,715917123,72204936,942920788,41314005,40165625,301873442,926760794,804129737,912538096,663905383,893675117,66353581,533073677,786598178,801382681,256169131,608365922,732050880,971751166,496086158,354347180,396406029,911490803,981205104,783764430,185643897,753816186,414055342,999332386,200324334,91175970,597603860,375098602,425059099,127037801,305479748,961322178,463733629,851381816,766286128,338071229,126546228,536764684,779891875,965149261,349680873,805293306,981590963,133617221,145711304,717611295,577315218,580088322,642507661,851354295,351790329,845295499,520672491,958979377,883011649,451893744,584530711,608298560,702933921,35735590,380048048,706839851,916113857,2995882,928003108,707614588,562634020,638468944,780323649,229686680,191318790,262365354,152824907,241197789,324015943,823543821,903099581,749478660,308860658,282157358,208500181,319866734,633746609,688998323,552898151,186647199,879745896,615983645,900124210,522123035,192644410,292854209,371031081,197963206,336735156,27850315,436926620,393476078,838932336,163174924,981015940,222442984,673218469,828681798,425931436,10753166,513730984,107906718,189627153,109807840,689069877,237043119,140164364,454697480,531552405,55344622,948921201,483579204,160804612,678109401,741788538,910841448,747481925,770655095,970891811,380472818,708103094,734752022,230730591,357956153,827370516,197639843,756176534,244490907,380944695,107937052,958028095,574839888,949216965,612005329,29486519,560410136,742753883,557902670,33855007,415021238,331984733,914255889,513621284,486871405,922836059,736416147,244067830,865196088,352616712,949655815,406761668,637790167,571195043,228352096,669838374,979087355,309631908,541579609,993913770,835667557,869548927,852036816,756801256,769513486,385018677,129503778,410307686,687614385,509248084,833126123,947140672,441347616,291781189,803879176,508550394,639705140,654598553,125453077,310997921,380987503,919756559,359874798,840038576,738898693,920180799,755772666,978192386,124633010,833818411,722110167,370398563,189654626,449567764,605628064,144970051,533896610,593871553,758264410,891683111,983992117,506511711,791256241,309636705,756208008,411505732,226214474,936569746,518007580,377805058,21109514,234241084,477312461,982205995,827728157,427884633,379028102,7089713,546055320,896239475,130767171,9398098,276214540,4372550,266345018,756210376,273133719,895728944,364322660,380218439,196739442,975511089,472386146,234987013,422428022,557131588,986434205,150839948,379423659,941195030,467562984,219281908,999309996,869469723,358049298,75830726,412495991,471432900,824912183,337559659,180954684,32935218,906900381,87223350,982802948,317469512,614766643,972943366,902675390,470632698,399613386,648646160,132879332,76606226,386686828,237420607,65634409,672647678,357072612,47302329,803432752,503881102,721070545,246528412,771286641,556142873,250631187,276979004,72662868,229450146,725817839,162811472,792776833,136537516,541111601,815531206,130862232,61522483,506300652,277017611,133392045,549045298,941839351,111101917,509278170,594921731,120013364,916980974,590742366,706185040,726829942,430625870,67311630,622860316,977525558,778843887,88878046,387939575,295376451,960612686,687848413,159662348,368350085,883320801,590817381,638861467,983286265,868019301,305567690,65837794,426034142,170605912,487638198,224759256,392365940,442672107,925910478,55202163,658157668,170517056,572739976,758493152,669634321,952620677,699409230,682528442,684809153,560309969,711380956,921208330,470088796,786870393,374992763,790994853,51196335,915037065,621284154,871443864,582364150,659193104,937861885,996421422,186447754,434579767,398245414,49787170,618771511,506180380,973858954,433993854,610500047,430783206,654070170,460186941,89596185,740320376,632604130,416051297,898126603,651197279,306787561,605895844,879461207,115406586,841746311,52036494,816231293,950827591,976704133,624314954,632623617,644836317,420591215,484802984,713781307,753410294,201947059,149834152,413683080,467308961,484902564,669942970,588533537,902213154,912254243,948462401,887096076,995951367,691942781,758426458,282207013,294982209,283621065,900151617,525427826,298683475,139194442,279677546,735804134,745233451,526597005,31571598,124842070,257372617,19787018,144650860,9498228,119756978,677872555,97516314,116961418,53965360,555984527,633952548,39518381,10862546,689130289,592701477,365465448,261712076,343016200,491821624,10614421,336974512,938918388,218232405,994440509,154633452,65442284,444539728,231691712,346912799,318464624,717379954,939106763,330874142,375377299,622237746,533271132,918010420,848192107,673641086,843620542,125037337,139669001,907850210,818468422,880291735,890276985,70686367,654841458,911496167,592155098,264658713,462637969,102785578,973466325,766413303,906131303,395762989,356770764,485388122,757605420,200998747,61749296,329648083,569921571,792214096,31767319,516098162,400241649,356962887,496741690,788789882,632169825,351404910,323302834,50988672,638040096,509948228,789555593,164424725,275746535,380366308,895227591,681211108,306210514,342408271,273747133,664861659,609081285,333953396,221249826,923209879,681808320,279771049,643464188,518370665,99108270,73615477,551676282,671149026,905951958,335826908,86525995,25344208,679451044,862999747,384392717,731765786,512568277,557720614,33478673,167886131,617498305,965232735,976523688,848327979,101845194,121418150,124940735,334205371,890511073,657968076,347890685,915394179,127844287,983301781,714634393,239798050,185393326,75877105,325557316,629560044,289952016,929915911,285117439,33711837,505894315,984283206,187186441,537956696,674226315,52188017,655620300,866499822,233603473,191077678,812242720,502624167,729351922,562376952,52406675,170560507,783598862,307964838,129552262,494218743,301706072,919583913,385237560,468598701,449956929,136523748,21669073,184180012,125712901,606448000,220352341,141147447,717248571,760137717,200750523,771341040,767836068,72982472,585032941,212465788,588356602,639435325,117948839,506963762,258660274,161448830,344125197,697001200,178568955,488300467,908983863,425969393,989187781,357316644,748972060,983771976,251078721,539879040,80573018,412992147,112213226,801292119,62454405,49800964,20766066,605237874,432807539,348929471,607016881,913868058,771484261,165089478,791827224,616916364,691117776,360041028,861541741,953180695,98874953,311854813,87292361,906717094,333515024,159220399,762492519,76346981,287074530,871520009,938235174,932400676,505304517,377025689,31245674,320422759,507239784,33739167,231172750,44843432,669873635,389369295,796892858,87035567,834905162,107205219,243091404,198874246,751051736,725964943,582302157,342483472,984778762,657645058,505444911,972467433,58726968,928800042,49107721,448185713,548686008,35224026,947247875,97737428,783044116,144511943,800711874,283467033,858717144,794612661,739761623,607953813,428757734,899075216,839118224,288211373,901078791,749824013,621793571,937019300,404148801,582575386,617126581,671998963,442807944,86141702,417957743,442242536,995714005,991807270,840945109,278758115,265930048,35195111,612548250,724127720,372055509,328817719,269320951,477918782,940255201,660424529,272479241,949914855,828319726,90656885,166206766,295914138,381714305,727234267,747820219,324208858,210810504,510833921,39168019,486894459,438960169,6043567,60834360,957665371,937949768,680578039,874334167,485556726,876390123,345620401,724001028,731248734,847999848,263613528,877279388,689245934,192616418,676546207,271920507,325264364,150264846,132588342,967195595,254321700,727209483,916086425,897288698,858363012,358784708,410441185,374913035,322194900,267677220,256869087,629845812,227735982,726959577,762328558,604965181,963696048,119339068,894428054,886174579,77365310,218861570,44695210,510560066,637811002,680279967,478710279,36620338,798399069,783569797,222176580,206385717,345974343,434018061,831140699,12591537,277312379,567929026,724344501,744532518,627316148,537037140,455281232,967552820,935641412,108661016,225168713,357828473,525943886,577213576,240551993,307586548,463742043,825617220,235700626,778003789,577421288,463253859,434083927,869120427,824512860,980598123,602117032,716448768,527472027,995701770,269931932,813325890,415801387,712591304,95972444,557127431,749463129,267461509,361964268,927595464,172453196,657609904,893905759,987744562,991281514,243890980,196289223,131154991,855920234,59670267,584377875,403583607,824388852,341067071,319942097,168013782,22617933,226772846,383564235,310407318,25687593,915476143,101235082,527484763,507151178,723353343,125265866,372594950,357035462,24910223,276891579,346959973,810304388,912148206,876694174,806308933,726865950,281246458,719426441,428330680,483080191,694571071,804990146,433479760,400171068,112639525,58541536,431301202,974268235,261263688,416940081,970719795,305320288,809096027,242230863,509688520,44562697,921823201,197311048,869470493,563743266,23575482,641954863,523968708,447898244,54874030,982672674,290017990,310409058,496330559,188140356,114533835,652688692,867515487,165824271,56235083,664013452,873609810,370415077,508278825,42409370,927684900,963854096,254963920,429985736,793130842,166276441,414177709,615600490,688529898,942692061,322366815,436234898,473724141,362668769,347368654,632370485,992198558,183958496,681129945,678310818,87345402,722220774,511000100,93691228,969187452,466341116,959739199,919696834,46016233,972132432,843965627,854686336,570574575,476653003,637190730,9802935,391078599,406945821,599819755,444862305,837374881,105353080,847419213,104069217,825475032,897002037,218085293,713191592,261400185,88612834,340154489,38404672,340802290,662221692,215123316,386138781,158171976,205915399,44528806,860436107,464676416,441192090,519880977,773388399,267255666,198177585,862680761,898922425,211268062,827987056,646030582,5202313,455796465,382565924,494751524,15043948,265095310,737400033,702177600,247872402,540819600,853853314,269119425,559328773,104033327,403593589,6276946,837796314,456176212,832382157,580954821,618092527,265422825,425603157,904858436,666441218,405708993,424999175,16320312,227803425,434329047,232236419,891832693,155350803,83798073,320106016,152817708,291957507,477600017,266426733,200446453,340583347,129482871,908427074,121533534,809291017,140321173,857630771,596965956,996902531,991092450,475951458,484447835,356719067,425373756,985327648,264094432,316323936,563233578,881529553,525384343,975823266,260024582,914190868,632668231,354618179,122528312,819689964,16070054,341292636,549977880,764951302,791759663,74585299,318743875,737470236,870054828,611031071,495249183,143029515,406280608,220527538,496282164,163920873,97482156,393432568,565118769,935705097,481748975,484702563,298191781,745321522,201785271,519598368,542315458,231105058,721696943,131435917,788514490,931760806,998871696,377407005,923308926,754862951,517375695,37531454,155765150,157919682,726006586,770858071,357639394,136586633,968633647,69472018,263856452,766468715,545906460,888131232,957881409,751188432,237611461,949005476,385246112,408560238,212836220,658397537,824178548,778368842,483046123,919707691,138236182,379853246,157354142,496676622,928052076,167156822,916042570,384843901,303118094,280164845,177884466,540407171,860736697,315263684,159844051,684202291,368189445,981652770,118490903,848190025,33509730,147034517,404723935,982977794,6575537,236603211,274482246,327487696,299874105,684480745,501836217,209088416,112679239,810706360,800279930,638525669,123241835,873181044,574232237,367513164,978878334,231264170,978310186,247945857,995680594,279271030,761599505,542360300,485713521,716166265,482428663,352825918,616555623,316326878,154685228,347123702,983595415,347631623,402040455,511724393,841313344,746179042,47384908,850046291,431752752,508900948,310548294,827556610,841503591,138243340,109504356,756507993,143149478,289829822,743824066,773141033,379045786,399699318,174050426,659023556,354802023,400142258,870387367,558484895,793594152,289289173,716860287,99287050,566104760,621050858,968737677,9286678,194569962,853200669,239176733,836863664,298908844,687556763,52103658,456029821,992556450,881165383,187216789,596743483,970208628,632550627,300335108,574054515,718458455,613016418,366654491,603979794,823490250,521767945,788319387,124023144,932100120,997303344,718712824,131651236,63477754,824862235,548185104,563258383,386748278,426333617,465579148,135922212,184902459,503847286,248423739,629386095,247627229,851155612,3213692,276397511,923584945,109721175,858356278,857985155,222413139,118239718,377279864,458147138,707568925,250806443,431788223,268782812,12454790,106388022,165729344,359657097,91462362,58059025,371561980,274539839,973251987,469848676,909459248,406464900,449617826,601378772,293757865,809420996,322508190,455116150,628058320,773681949,864176211,745049378,31913114,285242219,100631903,670807571,633149764,149038374,67697022,957884170,885019927,885353939,481266110,487154812,69467403,769200162,92927442,947966248,869466520,642673585,693146968,736052730,36122708,222404234,854341588,34590618,242224037,744575842,773108902,683638165,198411035,835119965,149171791,97307964,99636212,168338884,815474129,758000718,8401984,554684786,629175248,668563821,514909009,120465656,43912183,695941568,901547397,367343299,515421631,972961170,861878893,340034831,165642857,767469497,883193352,493539676,369589477,463709625,305700411,416223766,435392017,201494210,737020501,396217022,165932836,360372300,530688241,750351641,71265309,638241335,725389754,47964576,176542909,374952730,904637825,298243196,806103369,972469260,635369482,142914624,564172056,734815605,346581310,35691953,353092445,353898784,23540850,28718,424798251,958973541,980886438,775579219,489498761,385242608,498326857,959141090,475967884,716748966,290005446,295185096,968875408,890984899,941802898,717671621,515582758,745442814,804950924,652589608,310576689,950755742,583534268,109350503,898010212,399926441,547435010,570893268,556810156,524645391,567097554,784109423,141206726,561925838,896751957,725892804,299950571,144065904,862603212,625188461,778991009,969376031,988824975,911780770,199181448,887258140,570855022,795527087,274788179,568950446,465475912,537445235,843159615,769964194,266551735,79227977,549590593,123554100,242949547,646825547,49339445,411713125,913863128,755951191,8218741,698587729,981992503,459054941,608496525,739694388,631934345,202341792,590939722,270422032,836204283,669871216,102769184,157156748,313858923,480781579,114187897,645888225,541102180,789160594,451471655,4060879,548127564,720906368,278171895,872537673,664972776,468566971,787417352,199187615,531143323,450297193,122006420,471414576,679701625,492222692,810419631,897801394,126852766,607682448,48468784,911957931,827603573,242979621,887344563,332521506,17850357,586431462,36688826,409913292,907216388,982942912,165544121,803478317,402858233,641561103,287246871,708043565,219032040,276396115,570130781,333333520,570183283,835135129,913099649,696979695,850264952,447800758,659787336,818896009,819509818,545462610,389746798,501076962,712257437,766617878,854967464,408580069,848458761,703212719,367405729,165409075,882898801,576907222,745172753,536798735,718844822,584087000,773491223,336933552,812810257,944333585,696583528,954347361,100707279,44699249,856659467,918711568,816570598,261600758,884399751,331074471,880098966,917881173,42872016,136590917,548449679,217073024,372825789,23197147,709364524,970025986,570421076,222103953,10784865,657730144,336789282,578584206,503703130,889850857,116102054,95559709,133695080,802050293,957969466,795182850,126474473,435184832,146285215,985870390,932616177,856168231,112721485,67552184,104846341,19524885,975681429,259912916,974067053,281207654,627189101,536668229,192480185,439348407,490192215,264384099,665617633,947324199,804165028,357889219,933864378,473822830,959641909,887702478,404843415,743516297,862255670,806962546,326186784,275094596,958981574,184710520,266678898,720090435,240245789,221554559,44648690,57221537,571386582,145926347,475665645,217977202,294434208,1000556,878690996,982560600,382658818,821382914,900321573,893387899,776554701,852708386,167738329,345882832,822660958,8550088,692558077,535534860,622468226,739755324,137002878,501740752,208149620,409522998,792416080,125577315,215217632,171486326,853305859,680629663,570048808,107207630,212546001,259848439,485622170,66728976,171267374,747204922,851980099,412044440,396600081,871070501,474463314,308748402,18852292,270249962,832594899,540706493,459428993,538662586,574172508,248396029,808184926,760794306,957640140,586385949,647217396,180793807,660186119,616809724,86567255,805639306,342464845,460158168,384090456,459732530,58726460,151334945,252806686,9413074,429028486,381107239,720193856,571400168,334919714,936388409,71642427,499900881,104455259,772008100,980935349,379456361,693744247,132936197,258534885,578821958,189137677,640271217,422990297,832468299,677399995,754046702,52025212,819154278,143218648,212521900,878508927,784307357,342346513,350230339,1541877,510213478,834153020,41852535,881033414,215089344,165562066,34195428,449294949,748207596,235702037,221458330,196602435,303059289,111330286,63028018,481599499,364661949,997115167,476786255,888020177,40553467,214767562,787933337,998443336,596515537,536117784,348164066,534003406,554104286,248552438,287220012,187214619,808705393,557394046,505804040,940929403,358069326,268782549,223189889,377094472,813379186,369199814,923311866,220643525,61659886,887356576,360226010,471354275,219650345,175854558,214489840,981526259,731984674,379741610,35941470,746069062,414763430,247656694,710541619,833196192,801542093,737128951,3405972,340043651,35576087,158606056,274764426,76602329,503781531,424150449,81919257,160709731,330180283,490554136,64903404,89330712,677476146,192651700,198261297,721037544,237038674,719368575,138102910,214098294,141488700,790841095,958072328,890756275,759114536,393202250,310312265,278559250,494379670,70653635,987299098,338210897,54573434,715029911,108018437,970971832,979384006,631161989,335344023,113926385,927192405,66118048,984450482,378541734,402360132,394647725,574303488,882832810,169713763,599444812,527677230,328829274,862328498,329891960,757993183,631187618,826028845,651152408,293871820,23820443,844734576,592040655,907282711,167084140,985796347,623908897,195027418,746944339,176027694,943902823,633054325,724825691,514281387,951814150,39638840,761365014,286632256,220532155,436896180,234859567,157397662,923431898,701825971,321163988,297419174,379156598,602010204,993075887,357854539,204332446,767814778,679746544,369383406,17004920,852106715,125603561,146594146,271078245,878228830,847932528,231397658,133265059,788849456,382209386,388241140,596187568,370905840,131578117,985862068,741365615,433221929,750815029,533468383,145067501,779309059,667900401,851577210,416940039,992844517,880933051,177094443,699248049,573610680,773395271,666406173,771406361,688263526,371832544,932759653,624326480,708309925,410528586,10714641,129479984,639621718,893425627,3714651,63010595,120830609,74589909,137962743,756894618,719411601,530606738,974457984,645448440,490277050,475048515,343557346,431136010,503203796,525492313,550084382,56946569,312756056,612573807,516883431,884704482,34205611,182589922,169051347,354267342,990266902,978451169,84017101,333021681,26077586,94782634,832647603,8593248,368183402,153034738,255822434,581063224,923198485,878629787,823283739,87557219,834096950,836092579,232540856,630783434,192921569,162416942,607774404,355020294,65302049,159116742,490431921,360123900,851224969,124513058,376989026,785086985,527255559,213468829,732901285,142582436,381498496,549213237,625519157,101833185,851749836,304273739,927993567,17415440,369103004,283915938,327616221,310751126,294525860,901698370,986442782,459024508,684826556,668241171,615107324,711518947,475622480,939409251,556576397,22941611,952898471,709191774,890981381,730932662,128302101,674219807,434588322,90988453,298445808,754573374,752780501,512784202,222766658,366330042,101327584,288399158,315987315,614860366,781675333,221351195,317732963,839526568,7478759,42433496,784546372,79851701,745680229,897733828,661819230,946734617,442749894,233708607,139432000,787671339,171749968,349294767,57744762,614542085,275389466,501905979,387590557,188458098,304930418,446497563,243666958,496937048,494570841,265147494,883684813,87291710,668825958,830191807,478849539,732748512,775864361,389129597,411076348,567517818,461382583,487216002,154152343,494430592,145637982,151861159,894817857,629596392,884729850,605261406,373474851,403906977,93551635,285534607,898465285,375819421,918276349,516993110,23495003,496147704,969180966,906340624,786361214,703466773,794907939,817172063,860320689,853181729,540880371,849708088,686540052,560239001,44982166,285555058,954523382,310176542,453436456,493666779,107181628,700689008,106875519,166644453,89236258,396109078,404825345,844059277,667206210,231257890,990775321,667173592,361965547,429819063,850969303,6773773,186474188,695957122,807378882,266942706,175684766,64941195,123638451,38472501,99445075,4490830,791344751,688029186,235422816,679246415,976096826,55358734,820229065,593675715,71179407,880620106,632711220,445437871,118122175,20713820,679020939,586778742,452212170,658780578,965121495,650781520,234051892,341459992,554556507,13199193,318311096,302644962,283890783,1228935,157015633,491578834,259857393,533330737,265673477,654572800,742970685,934430897,703512306,701322495,254610808,346732148,332337796,607301575,409813286,966944873,542599361,906779699,811845131,279776807,599609316,570259075,681710559,369479264,774534558,821126399,833806206,893653786,761181029,469905307,385588411,9356635,341470629,838924198,750770396,618843651,97225757,884096244,556184919,560389907,574870566,397142354,960153864,540551823,123302825,572356052,256553420,632306169,127931026,716941002,347624921,201623428,370205530,556424589,953340340,215943549,768492924,865569851,531675643,499923227,929509759,745147853,509455022,806130858,627388795,934509478,330383349,523241216,795205541,890066092,292134984,559662803,143496690,41426042,845566055,311044510,979190646,556116651,763182676,846470052,523742680,685991769,342666102,353862793,310268389,324704861,248522546,563237688,624163467,244658585,710155394,236825599,44828619,865010628,211437817,207849550,801617176,469600429,100954313,330455082,74344335,537619389,62568311,829975012,119875899,502813665,54469436,696833723,184933527,145931055,785196795,576560722,207054704,987118638,918721571,903284597,635007684,32376320,158582284,935431231,740494774,709921183,125282021,734469339,502305550,358619632,588367885,378999869,229784330,482908288,200015583,917495282,927948162,608034697,808431135,527077222,162543765,389950857,245601267,249715419,693027971,190580856,529089171,955684526,30761537,938337593,788577458,549209636,827045404,122308318,620861323,971676255,416840020,294457424,524558544,556815065,630892050,967268905,646360522,429093749,273629798,491769510,776972562,7734440,487016701,464277815,610398444,170422712,229016657,714740048,969069237,80291050,417641256,952187770,749983779,648689790,971140131,951554088,110361135,366812247,670286064,351934350,610789935,892359063,659538584,809272917,656853450,834218956,318381406,421005852,413973609,964864024,916374071,48815337,956932078,298839761,35653598,993186141,487819763,266278852,792289374,65889596,534911118,683820678,310945474,369513047,816802574,930482893,282430064,218572025,673462611,247612459,684708154,572468102,78534906,779316880,507584866,241685928,164169297,925984571,174048503,725036003,63721295,23128493,632477591,323650721,695154822,194815714,933300586,98743115,596527852,794127852,174663265,26675663,577862324,434246016,475233835,849652896,337638356,755871629,378866778,279433078,458464603,235726524,689767644,663552183,479240095,743699136,1551776,279898168,501372710,374933359,826435099,8175993,890212870,68744776,973300857,677629842,88200270,933487038,762800394,782106240,151044457,533720302,799661973,397849546,88133299,856166069,590641145,938138799,552221599,856165278,106746042,435431789,887586851,274130423,301977160,282110657,422720366,63100393,836615808,52153984,683905059,144404794,331665548,915011335,105012790,447454686,357783838,875737347,853022616,609779392,954358568,828758691,919695041,821980278,719841089,513058110,500117508,691134165,111958252,260657777,47521105,576190368,11416701,498700255,525863304,187271885,695854420,780001328,474696969,660336750,976279,936448695,336923507,995705773,740731110,91954536,46524664,547873000,731668621,574726627,53508645,580644244,504400694,355885033,212200417,292060053,721009357,604932419,828091150,442201412,957751886,456865160,474264098,942382573,724048394,567218207,596139930,967007667,6976490,481022909,992658387,744364349,782509587,154080186,491415374,211057430,988623305,150094915,858625639,553935388,173781337,758264515,797758048,847819239,139204073,84946734,798288654,183143418,292591740,634366539,905776888,567587532,28774873,861809891,247948385,209496849,735476781,919054970,917666215,384789988,9405156,310680777,720327586,472862776,767167017,747931361,549003538,631150854,973701016,180281488,616568088,90667890,679572702,559637559,583057280,398005624,551840589,356926652,789186824,405464848,15855738,516904191,931856246,138626346,947532730,160004293,586485329,337827731,249529441,274382660,940941230,374608875,796114469,109815469,255424270,209459078,721260654,804775505,743419612,940965880,813683566,785512948,477500721,443873003,997970841,547656156,501144940,44044120,279860481,354881895,67974289,469155118,646752721,112881596,336464623,914370859,541329107,452319818,981186137,76415342,866394731,647347225,657613976,770247281,922442524,523943271,154817027,829453276,341631851,608260265,261958915,884099235,694750566,399062646,55218908,474919318,368407786,612370865,196261766,562103499,394263241,136041586,50700713,104487259,15643690,243739335,333577808,864834510,760649220,782472408,559317505,578147399,232975951,949630153,946609233,239169302,805474850,756450437,870746657,53599790,883074342,978572656,949544208,810415210,232493696,287063042,243810909,560083151,692496045,774535598,886547501,594208752,19574102,387866859,998638168,444421985,56718857,201937506,411609663,431426699,701971109,588504082,521227883,288287516,701295201,739013258,128260857,157937036,2010706,204934616,439544293,897335874,925992026,614992827,704147094,31292326,492336414,496741569,474654476,673289472,780264004,554125649,608139985,910533551,462689313,427302618,991952813,597279719,802119662,680409240,661521314,355510685,479405186,169634660,377796466,681215581,868204754,701301770,253489987,103958717,701991666,470932786,718332831,533644680,889126107,118427686,437674136,560875488,870552891,681471823,312454442,983972702,335926877,709383622,696312396,830298633,915267542,865016947,151504467,767067373,135607095,854146658,812297810,234009625,641652256,33493370,964453271,680177852,328632033,597693601,825374583,129698432,250016781,173471724,821215868,220923948,341339895,614249027,163370239,865736103,908205791,689752686,416535782,283833081,311280613,816065217,796022191,8261439,893252687,156737660,117972525,616978539,384275684,610460554,187400435,987124637,55644850,699910867,17798292,799048448,785729311,195410061,916944281,394164138,61242258,136943995,344282091,528517552,936372020,907043818,526152330,889409042,462583088,196058575,730454168,627453206,451806947,217546901,726916522,706468262,977833796,403505682,393180594,409376252,96619979,646818252,759042070,440010399,26308652,411545709,92522462,63062851,588991652,605243743,168193572,457306881,784347270,467008195,312875941,464375563,512129654,811206820,832124657,801343610,749240671,833980918,949514338,888364692,659916832,319931532,446011569,128937992,876449682,537823053,863707177,778742945,18306368,350585057,845788762,306685906,438218788,462850061,536750675,665252813,99691739,776023518,182801723,342832160,574007435,671000306,462024901,795626555,302240773,769196176,896328332,94706012,898460771,181064708,687646575,152662523,696499801,40703024,607033206,164843429,725958153,774477278,92262644,781547125,823444984,743007169,213759787,280052686,720085456,209839653,873121446,422160085,829344107,838121484,354665639,107493385,964756622,535166902,303477351,211742814,772749777,698034051,157071044,804407641,427675637,785942803,949415464,154127114,30098708,749287282,188353078,898485691,144634957,692241844,718007256,516150208,912727040,571568107,579986861,246304731,840055097,650322180,869430374,455700030,386299014,899100048,702791154,859972151,921975412,766146299,123679859,234935742,875254790,77814264,398949811,907223173,793925867,756964770,814758421,938357067,896338412,178348049,873969024,994140536,820357558,240252064,488306796,590861819,892445763,178678957,98483017,925591378,112531289,51571533,695073544,891838944,966463330,787354041,728225907,43071244,858465760,130244035,980887407,379789115,338919195,195982898,905236641,689670931,64769482,232547789,464460119,987700239,631841976,84386232,538496526,389551239,470484674,460146738,109407787,151104974,823283777,764441227,90920845,46221725,237076013,351973006,7903460,987811492,502815862,663466929,437757438,930587838,453307935,558648753,454087112,352255142,951963038,975148548,319965736,442562334,493703645,831867658,378346829,504580909,213407439,767892112,917536618,626391451,457874303,807026671,929000092,983713274,326151518,143070111,538243030,533371242,795133057,558409093,830612607,369442831,755017518,833507695,975248272,250299487,791211489,140254936,287005262,848219658,91274008,626150658,874929966,962532441,956002451,406009986,423813439,81743332,228094661,423469579,345001700,70560160,368426159,768975562,236393880,348357000,224701291,545543681,692955476,460709,742113784,895559538,164905151,788033458,302851936,374069328,481155426,330495016,41780555,404184867,972005894,520087309,997660400,935571478,604174982,722295443,483990398,647866467,950706706,547307078,567834046,578884376,499352220,897515918,973294927,750905718,113014535,421666852,73428360,147020467,427371985,479871569,209565897,584103778,737151119,682485184,353372796,524977646,377432209,628509911,274204113,516880141,896802397,745978046,613939662,131948140,151118714,91677207,308222504,182951039,243551083,309993029,175943503,800754446,671924585,614107503,975067455,112524705,665209749,764174716,720894773,828701220,262932296,592111389,716105955,222843637,774751547,831119407,657403416,629690869,279743355,434102277,198077782,247588480,504341100,880650505,943225266,689938807,821271575,250564788,845814816,491971751,72512596,286749860,415806025,514721878,114336826,487835836,469078553,485444551,369065415,993424357,435842106,236429485,695964642,94793882,46686284,413864990,230848657,494851051,493078759,556685490,968983290,699597989,586650677,420506989,183664468,92383573,143402097,174364449,63809687,710431114,608307860,665338706,552031992,428357134,700532311,925087343,432607249,308410791,873803508,110742232,211584121,638091092,149861068,821773925,360978187,962903730,210638870,694405369,129939290,573431044,967924742,995542745,6365403,696370699,767041697,841764373,428526787,495694144,21515924,830153345,700372964,747994226,632241784,638927930,450864013,522836496,300412698,850360354,471572092,11259953,21908912,1313369,237207033,699301647,823399357,717143708,889946592,572492446,198217297,244845101,256429795,94095038,704341354,165614294,141063919,546618388,831246815,170172517,116820845,947685984,374661840,209882153,974718059,911350875,725704363,432492916,139114436,335170019,302505017,829090549,227548976,247429891,107271139,880901941,228810456,418389409,797348677,797109494,165607959,557019439,25536870,33392691,227340845,286120848,301484778,325885666,698958846,451238547,273868253,955387944,429334559,209893223,182490461,906866272,987718328,8231629,881799857,59884538,661231067,997338626,730195496,377155730,849223164,221132793,795191699,267049092,419669233,704585374,468550177,670580605,716132547,193661728,317210060,218821517,110844683,265758222,118913563,933255475,744647765,911877215,749917316,941146550,660297618,721068745,620503634,415609664,289644162,678055198,880252821,44055116,459515403,233039203,482160961,200314359,196507663,187878148,226564697,492252364,633458514,940530100,136881998,590143999,263908731,383292279,199931650,643888338,438678960,452620567,73270510,386136594,172261329,713051932,437151896,44322318,266597318,998283624,61955781,826463668,692682752,522518368,605472634,972690868,854495675,447488749,450910193,469125622,635138902,684423148,770628567,900009795,122529139,59467301,189454664,12882652,965152198,163420181,165792122,18901476,544263265,396973680,602578240,679333377,388733766,794429378,27006630,262015145,895629665,853513915,379928899,546069586,303639690,717186156,276679197,248374856,8462663,369949531,917818545,648940028,636536462,625472149,124982214,128795178,466634814,702594051,50608768,383901531,902192348,230111025,528089232,506480715,641852101,664436527,119938701,576750808,262235328,975872791,482345373,274556454,371234759,245580968,498990393,738390637,780324895,36792311,275363734,3811362,204115683,325378682,311846876,866180406,483750228,907662883,493513010,210458129,494190226,312031004,496645993,736065398,810833745,812267613,431780287,565931855,393035662,908744240,528948335,91973186,236173487,191686020,349138829,47211774,183895004,679483208,692386655,37535971,988761504,576256392,226226067,311822155,78533580,588986170,507197361,843548772,374860197,371925087,833219135,744512181,237534049,142199972,630243599,642491605,675899711,821922142,537635081,630104993,275893426,779363556,922188385,659097791,66771311,736766481,508974570,466304410,698148847,650538937,880730329,572267887,520693728,932745177,988843851,620218350,90802953,994806785,323008981,516300071,583229270,712291531,878784571,813387634,674852724,224928063,100714997,999923608,219809889,714013024,823941040,63523896,53113439,5014811,745233489,571381398,22941446,812036071,478401094,571337350,726815561,864040882,218295386,106895782,930338817,795586948,345223859,459304198,708585723,260168432,183143942,216511232,591610642,715107604,774170046,130447626,956619532,512126588,174514311,964547351,784128931,501349861,876213271,449714378,219644239,216659144,922012653,53276300,137132020,981013755,742872920,941451064,218422675,867348142,744946817,361025736,363776180,271276164,440085626,792318510,628021658,569891713,360404481,190007327,619416960,588061164,931521868,308554222,152966718,612016748,486621939,788976107,669829673,969432859,635461457,670090410,147578540,230993204,995748921,718376399,620667654,924448321,39605413,153278446,53567549,854336123,272218857,516474611,219394229,395132938,141717138,561916258,600896755,172340670,117738784,90790698,683144595,492379513,308894896,355066351,943294839,907308398,78742926,492361462,88591593,446868611,393094008,878331835,89094382,9447908,624311765,504804114,928323940,940144033,592136682,732502437,633544079,138221072,692009296,428868800,892105329,330984666,511201186,543217166,865164625,246758637,33703174,812458928,209655781,375728763,496544109,325504987,553555796,798781383,316313223,839041212,20646568,702970859,605498798,184885416,50628202,135693160,517523570,432863173,749884529,887804110,604583571,374772341,278603687,210501610,725444989,942633080,261633069,548539077,425764466,135621009,133245119,531612480,880936364,112625887,602116730,288392508,816841335,272052165,115693144,826392907,471386275,294666288,421824407,816592849,330958731,787762396,959274247,527559904,642793867,950778422,446392171,506292001,703738918,553055641,183442711,265839343,30278171,293790729,845316708,561245965,768138623,451408575,874635574,264969638,67097457,377827442,198795189,239304805,544453698,962645034,183271016,861836397,845256116,967949828,435015295,12516562,955266694,987264080,678582307,690383812,777539453,636239746,497764238,87263282,753028963,814942575,220585102,455860359,114201980,25830580,843746705,225858179,878176470,80679080,453216424,509682769,166610764,539757893,827963066,682258094,578750162,193893998,780082397,880798840,743143682,125825848,447834695,721968840,770530464,81867226,865553081,504978664,166215602,585563758,864551832,912562499,281293140,879277896,574585651,826889156,703380298,217371669,991866910,356115874,487503192,107481002,782704156,126868909,835932298,510149640,679804107,503174169,562786774,376309229,283517876,349748943,632350465,278763012,503121771,833143794,917908247,815015931,29645062,587284319,501463681,350630191,302993741,449326699,739466872,67612954,633601661,64126066,579062039,122043560,859615155,923239637,317730916,583110547,959056967,6696303,599991249,991274886,928607870,518187618,47029686,839937829,567988102,434793665,114310245,655340521,279985382,393709510,258003678,901678811,784295642,116379281,420438555,855689819,431526050,673352530,154923141,522570812,553848666,324889945,601225170,659240559,567268825,214095048,549477675,327819778,313797624,649700313,73153647,943877686,14493823,396668670,905884513,728970362,297784971,347817718,682022348,658190909,121517784,987540280,870656749,778824091,175427814,656208873,351700906,595506275,2070877,975771533,479710506,800807274,753782249,21788844,606228205,437471154,567606100,235158929,383281708,128254023,698346411,169631940,715887120,715968222,605442399,572491598,270574340,381776241,612745608,696897128,934306932,267597392,501321029,223849150,329628142,988806196,206314977,233419262,971670410,52817118,185308448,810213576,297763240,109952652,83357389,257541243,894846897,593154657,884112040,188485032,606951943,546798849,121258489,136290603,371328349,640235814,749957201,594046220,952049918,330697540,591061718,525448770,68567384,461838924,381122289,294643352,119837678,98396029,919060553,579703749,324970243,773421187,40636308,997546032,501545286,438382465,125671313,857160042,353834660,830847496,213300937,524174516,750146834,744572991,36140723,642204288,67205357,4125776,138664175,719119101,642378178,596941128,766414189,923685316,766969622,125808920,291596353,146860281,390582054,68191183,484242778,829476193,41854978,972033400,804949735,365177000,297569815,781257897,224751800,386180050,345236367,265527853,783669290,165591178,484212279,246442186,277007688,418003245,896116278,607555793,349056354,57211918,231221673,780400901,301000424,907281274,949906950,681608158,423821654,196233158,35034157,441236357,79978577,531892525,127340347,788006756,405983511,889140125,27998503,174396083,511080838,621036142,386745451,321230005,977638100,716884986,163889456,554231245,492963714,15462887,953397387,802209258,875490446,926477126,91995644,779709869,278623720,616232571,405309125,738814783,742461372,677795955,210053232,750299359,567346360,228568816,931153006,608743838,660698847,590403136,527779481,181669830,332314821,947002221,679369911,115938431,239266666,716824324,928569281,327966229,210648532,392614204,162776733,68732992,181911652,905311306,537458890,664967335,225599264,398352745,545168708,305722042,194098772,900124216,445001036,74695682,514759764,368386982,452513111,294950108,743207134,297132146,338385293,130807140,76918757,633425387,215595432,908896930,397116908,401999305,817691940,867598816,793830524,957021271,565827999,821784343,717535250,225974006,74804170,619960190,452434002,651723190,759314414,896736524,574595921,817327048,321207274,132892702,277151205,537289820,644207272,967851301,499389799,821967757,716616503,718521124,575793595,214726865,671503360,778432511,812007213,163973890,939873467,196898663,76736071,284548758,831156965,172128668,494577710,320301407,159913151,555361711,212512957,609113661,724182533,679183658,840564296,774580740,715287293,293744179,657605031,609144767,509457564,171644507,309323891,361986594,283570262,398089030,312473140,726605024,28469279,540014545,916333016,957470950,155449865,371453949,529089418,540718659,209894404,39360854,31579013,382810232,190879903,495649625,369827352,453054142,853375180,680079175,981672152,626927845,212833373,235068538,735830383,830312582,348175529,133879909,232211277,812742335,911869083,402416055,425025880,571880233,762595206,626636371,331457037,168124247,574979652,41773725,353615278,312892411,153848877,531146816,748170218,325099565,706860202,747009004,642622120,598024192,95683776,769425481,622521973,345724990,721828341,58629196,143309023,825890,814189260,723616358,688066823,252821583,64952990,792376698,817067333,586752767,834737401,149470942,665230323,791365887,776002424,607584429,93906111,662750905,109430207,261886718,9039193,513290697,699967273,924520221,835269155,631978442,395143460,434715686,750976825,396974332,39709464,156388669,578249388,469942343,658083349,910263166,566386676,206206358,159676634,25592718,864095148,285063821,861757352,394657437,89649829,28042943,739971799,902519074,155086573,618230983,386350294,533733642,972623861,291590180,810282619,161600806,409576560,516336811,158690942,959604559,550742198,40738153,256534802,632537480,717923002,130396523,28192557,148073718,23815708,371812300,129038488,901087641,408813387,326889011,955160595,164424095,820694036,622714352,269346265,708538366,878405099,884028500,400668534,536947171,492864609,882964842,569494336,51917661,490895192,933567081,129409654,808688960,257628139,554561856,699836438,937833088,795625021,645876260,952198118,785205277,841085773,941697317,779604663,449923628,249050667,290473202,804137599,606360604,349350658,951275670,821986678,767346489,597856053,357203028,404258480,463646039,824068763,206220167,936151083,711702838,683588803,114948152,37412952,150014553,927738425,24265082,743987549,781168046,370952563,135840161,518532960,539367351,651104043,144607248,415223745,269852882,121156510,633715725,31733569,458919711,939115489,301958608,458726423,578103401,575383582,812101284,249542067,580016282,405472181,416560202,464042949,324695477,359170582,645381748,546774536,54508317,819216996,381092952,828313981,555049401,13664274,665056959,107048897,432987862,348096869,423702801,209895908,390147573,835374231,576253872,831878989,221056465,227243442,622681294,616517620,866157429,419132204,372090580,857245003,37175056,979804249,775864733,974678652,141931291,44263895,524470386,339557682,636857343,862775292,953785747,613145648,451560513,692576967,929200004,929815725,446547226,463065057,536051961,610833058,796037446,968714583,824472526,970042950,533584831,170160633,159247147,9952168,819424274,313536657,448030810,259845959,433397987,794248265,298835417,44502151,586016238,762695261,742825517,982951154,575077066,413233128,702649444,175111533,961678828,997507101,436770720,724635805,153070038,180825085,586419419,288518150,440420596,856288880,835333122,176751496,880446660,989044950,690506915,451571462,506630838,927286444,93986907,122209307,615415524,874332393,556094720,241590365,151346725,670282326,321339003,963493963,960087711,779260492,432297231,860286471,581490021,952290364,458437289,597119239,954137764,622094105,400049297,424131738,324020632,934206243,235897184,314344413,762909836,762649578,384777856,628857848,22786366,266455471,574921876,289882686,401528332,288666709,159619667,575883695,553620051,854200072,186239959,239911785,607300643,596251775,529937506,749218487,945917742,479793703,787699842,690092166,872072440,928751013,800120863,834960255,268551996,576986815,894847955,129902756,701323062,15389427,918985272,892131873,924968615,39700989,11649907,99772004,17308991,993976987,56711974,646143713,113824738,112245793,443635670,226628781,169934468,616299148,15673869,8309641,162299276,462249668,102428558,44582622,637512185,679555504,627993596,245565064,868832010,877848211,427835922,531500584,473504829,87019576,152648830,717914935,416944010,902690344,891917529,277363499,281216775,402762427,180949555,874179038,42508409,594269393,834382147,551235065,523850100,12947706,736152309,568749620,218587757,200771704,758647030,81468523,4842717,961181259,906039876,715332108,274248891,115487398,847999641,903028624,769829849,706918448,444608530,903657843,27493671,14990157,545692099,802805013,88576094,640766928,428610503,803815108,704974858,894906642,59226474,28288401,945013281,767833855,798214103,267252624,636259057,508092720,428239835,742677608,2439174,749606635,741168390,903897694,743789688,712799103,547787318,821244384,400054621,826001268,803845792,815005312,77719526,883271084,219430520,73845715,272428970,228534430,628277897,162409891,418426950,830039189,761710766,191300655,601038383,287520684,748502053,186902957,716282190,600771373,950210807,705938598,66421712,104682045,843518846,348663091,246613015,473377429,440306816,691851338,163422658,135392796,513339727,88437287,283214185,117249459,907156062,451325657,579647163,513000091,907803361,551471442,744358487,591426222,206499962,100118887,790249174,73640003,881917340,388059987,882675404,950922759,414377121,781261037,744167379,179543548,910757461,971248617,717898913,770850511,92008503,676051468,323395771,785693339,590710852,5269715,638467150,222414983,761259521,263644731,38435090,511761572,359786646,922954018,244924683,583067706,283046571,318633875,683594615,666490526,701580911,113006477,798971016,601110540,16906631,925876997,182600417,402025416,748769228,952500551,723955009,721345133,437098362,110577320,288452032,157120269,308808178,529982934,537116596,851753399,808073596,281853983,991840640,674971920,881953508,826863160,546397811,993533771,80415042,537197012,243843839,305803329,352030961,961785935,332682600,522714297,670726800,415785964,414333185,366481188,330700239,552485501,488988260,374517983,178014519,491500745,961531466,469771503,384094484,696470383,1583705,22183990,643154122,788192510,962850295,609310538,685004814,832517167,728213123,63686736,979223902,834494380,181440619,657899494,227121691,113344051,633328785,180707565,883367870,619055916,652349918,287095263,978242925,413225775,250453632,881310348,82635622,538371953,71119403,567086062,80160234,392028501,717832063,900341668,907540174,708221231,687052798,619676292,64403326,364013495,488213672,493438603,44656594,887622596,829650988,874730563,846056808,42506429,123224704,111028720,588987917,799900783,707350819,418758247,812018916,642951045,84909618,865254743,926896719,327629618,765175105,735941069,510166249,626817214,609508845,106648879,763596967,767909762,967382870,214890611,553410984,287554472,145093584,899949989,193975568,202875350,845684647,267851993,826063948,685599133,873902606,631356665,118030382,33334080,502602925,493210461,816193125,579913274,110984405,610961636,761687267,410416790,435693342,629997227,164809679,957304169,370578787,124686334,21220731,876539917,159511308,574256011,300148823,614528235,757067953,942950561,38648470,67906110,675401474,258953685,617595723,550691700,679155176,68573179,881330857,497216607,706764695,875954171,658466735,451614616,300245762,450860146,589061005,244839524,959407569,985586018,296670292,709965248,914841911,542396223,347632801,884057525,514841062,204946906,554069851,830301336,483666392,165280700,330294986,586303412,34248106,972488007,485734804,759938017,590180324,380045223,15436325,384275927,97195916,145718696,300273528,758403722,935394897,234777236,586936993,560650825,523436251,441771068,118128251,325113714,656265903,23111360,483963218,250105333,908932371,429614994,648812152,666788826,806817543,39216877,317026644,13149264,750683427,965553329,992555529,644920271,757324615,713931409,246271877,527010715,337508046,767089782,523531950,180015000,449043181,168432003,721113458,131756109,399835172,202509715,945410608,515974067,483523586,813867785,206319613,643252161,902938147,27252470,946801989,189182959,159315701,622667801,942901221,18658460,643182287,748601029,916630433,515202432,541822294,490971823,530862167,277304438,446091273,727132672,920918242,456929764,893538826,61265612,730521667,333094080,92060112,162815476,569780040,362610810,934934642,150642458,51447094,849629843,72127359,134579543,192371021,764147145,813401205,516338716,211192747,830456339,315151643,183851735,771589163,612047116,371106527,21749065,872889024,315026277,630211598,827070751,70444289,759115596,24169723,887563122,361695342,115655086,369266977,60705341,255587088,637283561,69087771,263951836,759199658,13507410,136101367,16109069,919947339,191841266,588723785,201889482,949297695,717540462,318021352,193650596,183275909,333173039,527173649,842074749,550002418,179952870,626674461,291613731,615229788,14486008,316631117,573287626,454516140,987976300,538767871,337197221,166804802,882200475,127183682,260065299,590933118,413717900,928297924,415530617,171086543,178099140,452647438,659248471,283268239,199164336,381825121,704599129,339061850,441725606,389514807,51072246,194007188,510465589,553206777,633434569,113247224,883598158,572947164,878877284,712099936,339805514,313994784,640938479,173677435,992569385,783085622,623553391,435835005,343903441,96104921,262662568,305211414,30565407,506835811,735317518,453705602,79290317,832425189,201105056,555458035,630438554,624606872,66965768,541136598,843364341,475268689,756621547,919285650,153174558,352561669,345018536,747020173,369147457,973308422,392634587,230391055,567813958,713041210,172095041,352419211,224854977,128265078,248988860,81236577,663424496,831493283,155868659,155836124,318897640,641430780,768635540,408074355,112189313,665061357,527573143,468080283,999768743,406406275,165188462,794283235,99159762,970306951,776722693,480726934,48794286,616045663,258502479,219407776,151179595,50981966,121648099,108069070,166213286,824441367,950939170,157330157,411008035,96057948,44215181,258584038,488607597,139125461,382854237,315536005,217814871,613279475,614455582,764117195,884808815,511529663,982092343,886771941,603087237,932245203,711298610,743282816,81159987,471342526,845021454,521401269,462513459,420269535,805495038,727924505,886709727,991398140,868847330,489891233,957974302,558047692,927084616,441893649,963296200,846736618,943832132,283400623,70031515,168371958,332149133,276380531,339120395,553060644,556860226,690680199,837696296,63371623,671232174,729706264,972601447,529555264,211827356,943880909,700916112,957436496,306010335,621906997,965381997,290665655,597939401,630452944,48513625,970223215,882285212,702055516,643431697,259615324,391776781,886243789,399395712,540376530,609957011,726833358,710199777,628526273,832983653,927328561,935209970,26031796,719174013,146124733,138676243,273707899,887988609,51127571,791944843,62595646,231164695,190065327,519589919,2329264,492875963,475861242,442535825,915267607,328539363,287032537,511610638,300972538,318465722,695832435,491331863,988467464,983128228,981119767,430715017,157014598,254184255,16050588,772493819,939047053,499897037,645524809,873476113,317288956,247739974,663517262,735321871,832517881,763299126,815803438,415349498,177538022,237300062,422013515,775233240,682424736,173716402,597197435,996996242,656150124,109676711,903450580,150990268,279120600,829615733,371069691,285973627,876537974,513631017,758650342,522771496,475217274,45972264,188644787,108090278,129018787,70958552,249724789,702492723,130329956,256094481,280907095,693666270,192290369,906491185,904396433,272782617,136844455,536637023,695112980,667687494,948176209,989410435,717516111,813686931,822199803,748521836,948034419,669278472,364899689,376517839,415776764,495295662,479158829,273309370,640962946,21863655,4315998,823378891,25738483,445394456,293504968,455272040,72289534,466492431,549030951,746989625,280885104,666399241,659813619,795353530,250282815,508321826,197263951,703060970,188312302,263211491,842310407,845323764,978391274,521880420,998274346,458801062,28089567,708002692,350435798,23689222,676952507,697988607,791410901,848690607,669769986,891043796,938295354,850431481,303438399,306330846,756101554,898101419,770590456,158285116,465533556,620002371,211902696,883921854,598974678,379756487,627330828,388403353,340334317,136248430,388901678,300947638,550246562,374553154,831416859,199444202,574230784,387653674,706329225,224061290,629678850,620078680,511218713,963293195,861282955,961110425,797602945,941417355,419068777,680027716,684417422,956965902,222087615,968663187,749716899,791747513,970683390,942794353,905827099,759463425,276111828,584756656,509049689,145915352,982407253,717076292,151819852,297894513,536945118,150740403,386565889,411666225,687831472,728419337,985870277,191199784,783121525,918757323,78650926,53717984,508431094,347458503,867189443,563455724,333899351,372566314,631487702,97968749,968728769,795406969,793090894,886225833,841357745,605381537,855601392,931479819,926622,674510558,235089443,741175589,339016268,151404678,161495470,872276632,187114651,352558494,700810341,33024602,563211421,582125574,957594447,104300184,358035823,251768866,144626978,665180429,133104565,832638411,519133900,708922851,947826984,561372509,532328495,283688560,209506761,962509609,337441019,499054196,292959752,934460524,924699784,56728859,28755420,137065576,906475255,655676060,843612142,241195091,134514673,649990343,392546882,499143461,61506941,118510070,919496059,752386681,420942050,664473640,705032092,485348254,224675256,867129249,565026036,236157117,761768670,771135932,435602587,879499103,149028609,179988077,698980555,128996723,966129512,994052923,516108103,603969804,265793478,740727276,817887329,64830778,218890536,763640261,719701214,63364671,989842862,437510348,812016498,900526605,720055949,44137216,242650098,403504381,510842706,108466202,262046316,607378571,322686985,316748123,836111015,923504313,591444188,929438884,48121616,520656715,483344743,2089530,826484169,751970465,138221029,330637178,56093289,28231304,836150296,875743625,892136450,906490518,481424975,941374599,666591712,746411878,10551292,228478194,797691051,981519065,770785029,491140198,165592312,469386452,215504391,264023381,29203370,758475899,303362040,95255139,791009718,431504737,997655930,686994828,177031892,161533041,159373091,726191906,666516717,738088845,866278013,825174005,881862209,220334820,427965514,669701052,938412128,929012366,319896180,944112425,299344042,712047258,424249509,893603331,537708128,427870910,254414240,286184932,448959818,157874624,468470635,753356164,968852841,903937074,447312108,624193377,751032626,679984871,896224473,300061289,757775039,100172012,458040048,480710144,161538771,930870146,262828557,378760529,807298619,497825759,188472289,16275444,754694178,756419569,121903924,367334547,247659208,617045571,486482096,177664340,808832353,727128850,627103836,788092127,993044763,329120852,796845941,286507317,73840332,98834952,609669236,673012257,985685110,484388384,641215660,690288891,237189315,684637113,179641411,100331450,331318316,320843516,549431504,765840615,328216515,499564971,762141222,928710768,274162562,184053561,850949297,286146758,822021344,155186342,975349220,124468906,495558640,603285867,635006432,177537791,102523120,358080645,267916067,75113016,781091937,262665368,818022230,908145483,985786459,83542778,285862644,701024,223387442,603373332,500238030,662028404,557138008,368247014,337332903,836246026,59003475,484004362,229346100,381268190,51166262,882726196,804392576,81989607,199679486,80936194,576200959,588669522,824999805,732307562,465225378,208280015,301350517,915418767,576742002,199068798,135102407,931428333,408738149,159041809,354974549,578508521,365565098,897419592,163441799,674500763,695188151,509721208,99410021,880739969,228648227,869163128,453346186,989668561,213979623,774123644,436057723,436108306,527986371,266144440,636256570,130457020,721428720,75903805,652419605,501290030,751629322,98819160,598343021,838434152,999173783,247184217,396227206,780047759,585708205,150955365,105092109,103168614,321020788,471654648,364846270,231509586,285675553,18419438,856628920,246742890,99529525,810157420,999860879,9003164,684289090,865189625,725043678,198327214,970995574,155069860,625558459,491815008,327773628,440960533,129493015,439433491,20498003,842694683,114767266,855890429,979832780,245681065,694259752,868089873,987946936,265241888,198114079,503045708,250554613,314555943,270952605,244541626,864587328,950559007,398020073,910152574,405950526,231212022,111572241,440528770,548985243,411554141,568540191,85116445,530486059,428468178,564357179,309766846,900387031,156958503,913626442,88361044,54756339,670816493,164660984,595298990,587433528,897040980,856493758,514933611,198456565,661539701,574726041,726500560,736654544,649236251,608058376,742722383,259856865,703994172,669784166,459971722,199893038,538456393,570956859,416595518,424529724,792597242,334575418,952509459,516981291,424345184,565904611,912970447,573596954,841888718,941454670,382720959,501224895,68733364,50556876,644825354,19485895,959189903,750781636,770000594,768664257,862773553,367375060,50842267,432821625,289237387,138965772,228563814,816253013,169100888,855986225,788437864,450253806,267258656,475441407,228018622,634398114,627552688,690082812,187352278,10428869,937808725,993608995,294150630,587359373,238941491,654894540,846537603,187868275,433071999,836854912,694152355,680278275,799129550,846343787,445084253,268814499,810736789,446802086,727037107,182973428,742163433,469817622,850965026,22978511,484892425,820448838,948234123,614284664,220333402,426488316,32255569,912453093,968377957,139360531,531771441,460008478,409026578,831614422,788241275,124362459,287602880,972828472,416264584,323694571,180656937,165286214,440232326,480672268,695329869,661447941,736187875,821461431,765136968,443949095,534726887,231510919,93266545,442752160,850311855,497394559,912823985,180979417,15845495,373699942,631517619,187379277,86133974,563189363,797652649,959932543,959273354,660452751,869170653,484132630,894192129,861089638,938337960,89943687,626180797,890394776,742297469,728416712,457779972,269930117,511977927,832226980,402962045,499506786,688079183,747033015,31113961,828276312,380772609,435091649,976900994,316455998,400829672,176503567,413496175,664270360,239517064,773558585,67179314,9869024,16713172,231025067,320689586,456045667,888905079,191769735,29040822,175037663,298369271,12025163,808967491,854256722,453625573,437969500,594303869,253235713,102429935,287016229,302270909,862490438,404327846,695221840,128032703,932948327,162966570,909401610,136399068,879791767,361638783,888084598,676078831,386286752,659035773,86223095,963465492,868098079,667737647,517048047,945534088,746977782,837473,151537704,404377935,576829694,838950094,313085024,237641187,569600573,194868935,730029284,675871702,803021464,321559674,355731636,129964682,851854721,724867987,380277089,532146146,108010557,37926617,298224348,470048607,513592544,226036964,598145770,610173814,79225172,545402821,799647254,337321499,585174163,193214014,709480227,468803214,18031388,31835365,242062720,436755629,423652860,54253089,76391265,903278212,174275524,110151425,447502947,646678253,16308611,959337089,492513499,20143745,417214155,81436072,144453044,133204352,199781039,224690483,168839985,880879623,707682267,619752583,901660299,369163868,407636464,620502727,468575884,384306311,154936545,901675078,226855618,587663258,326562486,663122779,303430538,678308644,604330620,417758099,218973353,501004101,305700825,135876569,617265509,631279522,359049206,659060025,522302539,732000855,62405425,484662731,248296700,803109834,830613774,299679415,774025842,837242042,977629317,839813645,885345413,901567618,26799632,840991168,361283105,305102854,226062154,355930433,17271219,900197701,873699162,489034046,250025796,4312099,726140012,363233706,387455329,689025253,263148444,535144802,119610252,127379851,990099235,471643585,853200745,526658780,167043913,720819850,304184545,518523337,906874615,763704358,529743753,226138570,699197659,703863611,701260127,560476520,65389337,146496090,840594075,186692512,843505391,851708424,254974512,485873974,502395073,43725734,9036192,279010257,907888034,118316255,510685196,503099155,700159823,376166506,300849396,335102044,864239161,328161172,793683069,477799463,185230744,53314503,441868898,533607399,151952642,783378065,453407293,210015609,884050996,607178653,267401067,132749357,499015594,535022229,353718776,515812298,785263492,332709882,476446758,815191659,830413907,121501204,132201022,26944477,312434619,286525963,335077284,684856201,223330445,705348676,597132704,686720626,562918725,716290965,847882767,894573524,101598321,20238498,724486010,463401940,528611339,220825462,761256413,636749463,208309411,368254788,205600943,45316275,273877363,721808961,525993439,77075712,867169830,20860213,454976847,1903821,898270647,246323903,975674800,560731028,459947987,523189674,349132931,921902521,753566337,673948702,220713394,89588354,140298623,684396723,80923063,1453032,394719234,830882906,885921549,685212579,867170147,485929648,858571656,707049703,592448364,519977949,590550300,535943906,231749369,856431322,337875389,701135843,678431068,184869685,177232215,268745259,229764405,71269897,576226971,400375015,549689997,671790751,909125653,273618459,934998046,758012770,881048188,677987464,813079447,885735743,736504113,626535983,758198046,149895848,102388730,125051002,141261553,649939793,304907335,286189903,147661095,785702603,951040105,379439540,671201810,78709379,522202553,750333909,548443527,202203763,299557501,546312407,23961861,5004597,579122407,622761914,257657742,112456594,7500674,979479909,159749077,153791664,485111253,16531775,179692159,803769235,972268225,600670120,592839520,550482391,882007388,605758975,430459133,198716690,998945587,156410320,544780833,359507465,599447768,268013733,461939352,166243000,954052748,656397885,990413059,964358259,532827604,230511191,653612559,732000574,157537915,586848813,359314928,904207471,962710492,440923520,206433869,577388550,103528063,338209138,640425522,463677457,693217376,74143342,347600686,356382246,728010707,448091395,873610017,945677029,638687003,430155381,567467061,23880215,169614149,469139335,887289949,343474252,829772355,180382863,840136255,484168544,705737079,194625957,73155670,502272846,927810334,38404448,48563440,891923934,637978659,807859122,905093622,263014049,379848894,204646160,685599987,389002139,107248888,559157918,573476643,205014829,428441930,253113997,119808717,263556555,459537218,63363506,90944162,84434294,739281960,329881675,307245170,350148491,879766951,499443283,150840312,363841547,845098647,474737136,200397283,88122441,642846926,616992862,408469076,859159038,89498507,310620228,496742330,692347486,794411084,407946444,737202105,310473734,30317030,666656284,466411491,590402934,456112027,314143392,336417661,505795890,650208252,172376531,110367317,767819875,591628663,792995708,436655172,625051441,881978423,534908026,108274296,407219129,745173053,994340351,548602473,778667905,33188327,709504856,777228369,181340480,224643881,549564667,485672441,735576857,242494420,982117666,556299319,959267996,551331982,999944155,395265331,311627937,830706334,100112801,845629908,444861243,803900805,199928389,859896831,536780041,277323573,897782549,276121491,829541258,251447675,214775906,476093284,955954872,284837462,337008866,361605712,113867125,44057119,725956334,773009940,798186048,480217945,909282605,670045,549240463,660968983,180432874,605974113,713303037,176976674,294796202,647546581,291192229,448010115,858603909,352945279,210570629,888290397,427623640,826922425,166656505,109438459,66900743,971509983,26774190,652806420,203164896,837089892,408299435,969852549,537963053,801744638,748354893,838862142,214559464,386842070,154926455,347787676,375544511,318515719,618152000,522170008,193273324,617733365,188400877,34105661,69599238,515192212,105034453,220236755,324607453,514255559,22052678,834493414,714840805,984979445,433887812,532657777,646898879,86766815,19047898,666361044,492028378,758597927,893839207,476009005,91969779,88830607,580670162,609182792,158286035,24264918,557803951,448990752,973520659,914756944,325414626,91094144,449585780,949259561,611789724,342025726,848632061,588235189,365882819,613894553,1281261,801373027,875675309,44370651,553467085,829617096,881733940,838023124,265554292,891617519,498641153,293074204,358723895,402200470,31396712,668971949,627536541,393922994,557702951,733725502,867516213,85337382,807804486,463084854,44626272,165227710,257936543,981087142,354874796,312244442,708727970,989397110,792276454,964669724,598180747,762992194,100072987,806915380,199269425,363595979,930271222,225531747,524654862,255558606,270052714,992463756,717325763,430454396,297935387,822946901,112356658,540285064,800698307,358540645,232034502,7033907,561330536,229619034,488872959,587958656,115591270,292442473,922433881,157768331,713589863,290112246,117474769,149119603,7861024,801357877,698612652,777638001,561205473,532038320,483420333,221290463,202781664,455142854,863376138,208834130,512061624,183867390,191623029,559770826,370969056,898006682,350224358,990579715,307835467,150950116,787010974,644614988,260694330,893970273,217061935,230878776,910870666,724998560,534835015,233087738,543435955,293280934,183371410,277003421,271210343,993180209,945429560,220872478,833883846,140094327,23676880,845400118,685073777,440497830,611891886,316986182,360774180,466076404,639933186,87583273,992575297,733955601,987472821,726999833,88440813,624583606,519967768,608828661,321302962,617052176,91060516,381298224,346882404,193685481,615335843,631367632,632252430,490381647,421909616,251088428,303716001,146308667,123046144,918289326,432283751,972428077,957735628,84605215,462312972,994093076,338665499,489721290,70929116,122157328,550290556,621704155,680130454,442189787,834719043,61669027,527461040,380186862,85126660,431473712,806389334,654991472,368637674,811588729,610868190,314676305,46264034,52596837,535179635,774973744,83391244,667299711,884944430,449712006,209436312,411131074,270158540,395117081,392236619,934175523,511611281,365470357,302510838,969912075,841609071,669756184,172695415,309502917,249129780,364903617,332886564,579000693,379221284,476262065,115550512,759227759,537285548,661009855,922440438,207269265,142432579,511077487,935356312,827526423,802839691,191039706,502104837,643690747,395532681,702147665,665558630,176709380,615120997,893250945,537739023,282121934,27311522,234481652,13996766,312741007,111139485,273412619,709439992,916271619,277572625,683116526,984705575,310369074,895022045,148701404,694291032,763458295,577060359,31891723,808868275,557931746,408253637,237405341,425963367,590040333,610691588,724313629,784980933,944527864,136491283,938509231,686964970,293570377,320325406,235439922,940012797,896214780,849735508,50423311,889658482,69390565,415279507,968580723,753337398,26128275,984691913,501487112,865741470,116205352,216651516,140740012,298674646,182363508,312941827,452282443,345698324,416646118,483006047,796923801,505012598,179873062,677449130,792637348,986787183,740001469,909793378,397693810,225920798,220264509,202299712,683766710,447419594,189672775,453824081,147425955,77063024,215736978,502051474,484485139,576931963,895970502,942280680,829825908,383711535,408703838,660150305,462695579,45200997,359737778,38540232,130077364,676857101,859839436,545381883,276083817,105144784,405797433,688390704,305353004,985127471,961271118,125246624,847964315,344875157,320106122,59750873,813073999,953158387,219553617,320211910,286318344,948991458,560945247,123411595,124274859,865198152,512231113,295617190,530833397,394692216,732476149,728815502,745377567,602714203,383049507,894380441,707917555,893808478,762584507,623780786,198072889,458915623,207409270,691754956,229591764,279777530,883825432,881007942,522586896,400477475,916258767,694072890,81593916,443170279,976699281,55331692,660174038,895247532,248935868,772787854,704222423,352502936,85485771,28112699,747792697,425614366,959374918,108659902,65813598,313581616,771854207,336325254,595262148,514228025,954907663,422225389,517381386,431312662,988833062,53614438,845181968,848399261,284235910,562733438,329475380,781316199,388386342,490426741,32708447,699049621,963178005,288949809,423363067,884356374,633707471,317402609,914541866,640612042,102860544,996725734,239833476,363656463,434368038,969253977,821220949,531708983,998360963,737683386,307597737,100455677,441631454,587094613,876598901,656687337,15940317,181186907,491894204,361100592,359282209,631504136,793956423,217168982,758434020,105371195,543792682,2810505,521396816,566659946,19328085,209136362,132346353,568570158,935158206,472367907,143861031,621544264,15261229,225023387,387283010,415068800,797501515,735662909,585280889,865302962,956722796,863912592,812999216,953177692,522526016,933457706,369878246,717268034,749548810,45611623,150620439,322784368,755071818,911079220,263816085,21399865,830679692,745088646,286888683,983957615,474470891,709452260,235636723,113560232,749144008,6023180,68629004,450849210,768721012,307514486,49911961,180369613,403158969,450425374,605363548,110373404,418051062,999135530,280197064,648601115,422029787,277127732,9364126,801653961,67448061,161069103,442044400,99485671,337186944,156590096,900725647,985365749,569995196,410335300,745740429,700775565,836971796,106976914,564913327,788150924,32869402,808608604,849768704,667326539,349899881,95523753,911364722,493694357,876496354,952639833,270241355,643479809,845045917,542029743,946569514,329975835,693567034,669277708,202152686,459211089,573374863,780250135,436322974,323865335,210939470,998850234,139435686,326309672,346261019,451257421,602732199,859797073,268692262,153542735,560460620,953259110,52164776,338257298,347594487,635937946,449257976,110806041,815950024,942390655,385758542,530409316,545060115,4618461,339042761,365872377,979027052,871107563,546531139,762075568,726908301,406096986,17005641,752415716,350146263,311569851,699472417,181106819,435203313,447464053,249245900,191220648,245011333,127526353,643085334,215693714,788071387,696089578,884854730,787463780,751345959,309225389,124912247,607303804,641153014,762946986,984961924,708295566,33781503,322812894,305434589,430457952,325102082,55124059,309577987,911377165,277486315,288433571,105049429,568665647,180162080,333896964,711613464,900383682,844860867,870099389,126339866,281105241,309790361,128121623,913704393,898654699,604021576,526134440,105518469,467942230,924189514,910274165,843114776,591886253,839740714,150699784,8265044,646435830,826460155,616692993,787975343,306300037,72291291,573128480,842547543,331099576,848363238,547503297,452568984,142102322,156559878,303565892,530229922,895515762,686779588,928025512,817283873,8356857,919813013,227022899,645405806,837923974,751795669,77102191,542464295,472370018,275042131,477634474,86435414,742377832,892115115,807230103,266772250,491938244,804515533,941575406,159463968,361270637,275795712,773601772,765847059,174053232,751594066,328437205,829814373,986837513,551199157,347188683,196181940,142966938,247881044,954335967,625450824,692987952,906654723,566148286,119266778,32277853,585098462,597364562,16066152,514932397,351147396,862247811,462352993,270372337,448537742,226644319,167742167,434129798,245854363,245296052,491149405,360629267,876580260,925126699,229091151,802911274,518908614,103700575,144957406,355378834,560786946,185018596,664184782,645388669,637558527,25349984,764907373,862158190,217392987,342186325,598784528,484945380,629482247,541771823,477472176,502709247,15037076,970159473,354232500,383247444,791887737,61956400,821142925,590345181,611776210,967778158,371469746,634874492,451057703,644454574,159555037,767904024,963617511,909584929,663284319,135869378,325963617,987358982,388290532,73869960,723248364,627822089,289608610,509370640,936272135,56694132,871965444,276821091,243322974,789220935,909360408,108244897,445371373,718815723,899545204,815728255,9809377,958811723,93755571,145912881,827641725,795598819,250941746,925511213,747886555,238496297,248316762,540271983,238710792,795126197,349437860,131432569,394443761,935404135,503456398,352776369,826441788,289798174,989755753,246718087,86038313,798916982,348209066,365777555,614859935,558227743,471916555,218861711,610198927,625694937,576401271,938600345,574342898,354193817,101648197,295176544,271542729,402648052,397302494,957410364,672852396,919754253,29120888,572565292,598384503,48604501,591800481,607795741,962974649,360704292,697031858,243604215,684191387,216613857,98452961,84674912,640382065,288114214,268220841,571284325,10290148,143631661,189427196,218793845,690943134,938489265,850784848,790078410,690199469,311056499,874898481,181359038,730038630,535972977,976609238,14957487,664230835,14937134,768219184,993034373,370628184,396361484,258200585,693619766,890908489,431417705,944725121,910126739,200873881,17371681,627929316,478390309,635050857,641890709,129564667,348184506,510116066,734733445,477678774,166022080,805292828,551152216,261729070,656265687,718284007,672583619,31172101,86673781,754070781,284040575,347513831,126416220,165273497,433699640,128212903,893661256,783925700,48746233,195211976,615684438,634882248,817723056,129988611,634503132,534431399,903662745,617623528,927557310,18069385,252310250,240752760,625649892,783764089,630807662,901842620,987588565,452233437,598818043,43529061,114378635,570626488,928804995,192557727,580980604,923426029,509226486,499731238,932121392,834640561,120520725,620611413,458079845,365921687,85128583,414357682,415564149,473133864,704008642,50386138,847953200,213428192,114324675,82411813,551121920,489791424,717478777,92059208,478914940,216393510,406303741,94337437,659410974,749521019,494967163,257039837,159003908,818238321,508756219,115201414,172094801,287967626,83125314,354898893,144190239,980404896,961205290,506144532,329986476,347938306,362167724,630009261,397693839,568395533,135474949,461162005,244713821,266461737,772759315,231290765,580982588,212609619,255972936,83689263,804394253,742997603,563181112,237952357,216003687,290624072,216785423,240281852,394090433,873304812,627836065,612636015,575028025,847904982,305619329,298512708,538171836,555256840,359947164,192409836,422415079,677422009,925434845,384877329,902758485,530389695,936836708,680542433,980314998,983730526,961294167,130063656,879144990,647152725,837899759,928517489,987699476,195720130,673593960,915757943,333503050,593995595,346333369,251871842,582447389,416169132,223759677,957136823,944988282,334297104,215354334,383653440,364121335,8940651,479925279,901681853,371773763,833938346,517087021,213151022,780992340,246819400,206117637,182073018,218911165,101442633,338432781,177409966,224528315,562813502,680216149,267562050,939793266,586512837,465163490,803554319,720542260,487685889,138830096,666425126,804741628,589441497,33725235,300600493,291493401,306492041,993451810,391748853,662695483,818700109,418532288,415154350,149487965,436867162,378634562,638977883,468175747,580882273,510198020,990502227,674379021,770298609,734126342,880993255,199715104,655292646,80353527,404027456,52077217,892135174,75848033,271422882,748733615,478927046,504629584,515723428,962777972,879771507,714760099,802396561,756511660,221069449,234679878,188087791,57195105,755952971,832729373,441707193,975233735,167015173,590537578,223990992,956401068,117727916,750546816,814339618,332691164,278877878,735151416,762937634,963925923,241394329,120871810,182817857,25461625,195409328,520928939,504234202,191885612,430851210,844180516,973356459,504624966,865116599,337592187,535838311,336989659,905961574,512155015,47972041,80467223,782518869,303892313,304038619,98524105,948860214,51693470,785990769,725702555,22949119,633640214,170170618,610657799,479280993,162529854,403400007,880261800,140112000,140769581,469003657,151629767,284279023,483517703,554241366,955019708,191473946,304769306,159002524,942790057,537128405,39313898,165271957,764979259,170922159,190396436,301955174,828478388,605214433,618440128,785547360,789994183,724439339,815700362,297943016,779496447,761957261,494459298,362300426,25011070,952863427,636909175,153066809,602963069,794192115,592804656,607575717,80912339,320118446,832154624,977738957,281838791,770810560,160637789,88622027,91655331,131558388,246279037,325758018,647873813,327980229,745956504,454608333,275510551,491035996,578341759,309144260,84836637,268629677,166851233,372946402,12419308,976496431,715046849,586673159,310547180,88216885,257410658,63586039,253400022,307985163,43176416,688141789,588611307,147105381,411337967,194773937,354459455,534749237,394268812,713792482,694076963,564014545,156562250,621489217,199683817,656928358,427904333,729622413,476571840,875175104,447821191,187597352,855568586,938533744,960077559,987351300,751834356,368990799,538673986,26459726,963707588,503005786,826938348,297216454,878035280,322310301,824331842,701147636,260393537,497763875,670710319,328137830,669610837,937834082,952108329,886002414,46032256,317207170,934096665,165246418,206401549,778951930,837145491,770451866,528012900,265739794,292540064,453977860,754215841,31158343,349216516,481495923,180848663,993415071,187183720,995599333,172011220,771245882,916847250,70478627,971645781,219542310,342086402,473950571,5226309,179617926,619125803,387308979,386054124,529481778,394209203,724163144,29400080,227877673,143571309,747967869,852808355,446372167,543497908,265160091,998621848,841971698,851466475,257035279,256578719,647302425,62503983,996411803,926568855,819007069,657950186,983324785,576441043,623199867,537188185,446891452,283948012,186442965,595460487,342976417,227154825,206207722,136200738,187218581,944569487,446144924,38002808,576729709,25115909,240880092,231962738,997292212,824101218,64589779,764525884,325943967,482033544,786835514,468077066,745285798,89845414,489327368,33413890,526863614,540750421,709258798,874730369,848275150,651079146,818525875,221864260,913287067,312339048,508206963,269730987,217855008,543131096,357416223,312914935,827876353,434367049,246649131,747327083,51931521,855822902,100656849,557554307,777229278,101778752,830457685,18104466,595195718,435105223,425630333,608940757,784307580,192380825,16531918,407821122,333437378,581065934,428333391,465796673,560397201,838466003,748687449,243210495,37796678,345906143,845201683,533199200,68930685,385628937,298209485,392215354,788128097,957372215,709171262,779395409,623490766,948366413,684937011,805587259,849729774,16608749,598465802,841362937,814283321,183039986,529789023,558871141,803359673,425186335,298629295,639947466,57614983,566661328,349724837,857352648,761579972,51309842,229965283,442562766,449318615,414406357,377763855,496122699,79683390,597366209,769156337,861895411,319743119,98416621,626060155,12650534,479077853,175483352,630477276,258867261,832838845,446961507,622629336,742711464,601343299,494028546,857971679,553800783,565418133,558270702,179068516,165270152,392811392,660747989,657638430,649902464,166684273,592784489,621356018,284220266,175603685,234798010,944307798,550133543,688785449,983211217,3400319,794137631,380584588,98618518,127820915,375197361,459044907,10459186,242783452,692743622,107031393,577341584,672151369,384152192,487565311,222775268,953420475,277088336,249703365,401537684,512328625,484295890,926303689,374032541,636392084,823276380,404813070,550848860,922132397,385656555,692764390,318412899,529451229,174211112,11793432,893999550,232044510,620097962,366866360,992017684,546719028,545999242,66338379,356504101,236120395,302945458,924073589,891570266,94556048,612724268,947373679,902581814,617325942,229092067,94123395,153233395,417573418,881418503,670883041,197558948,386919768,815747839,879694835,665731319,382656064,689226478,93615480,321114165,330254782,559210212,692269773,10826923,792370210,517909570,694422547,847824243,722248802,477720044,129327830,669230352,452977061,773954657,381111807,239803715,23369709,409125506,199324327,922875078,87662977,467052613,107682950,783322772,919738839,249719858,981921318,965529115,266099709,7966177,946162642,346174810,215590407,275139131,277226162,325993220,278689395,81461489,846718424,889133130,151570321,869530719,389822789,455524763,270274010,650289255,519554541,361145631,182639902,167016260,432007969,61186492,89371261,517056150,286731171,754522057,252077569,591208022,647731507,516074255,128803673,862773453,254322828,390364794,599270231,990997577,653394014,572099633,197044235,955684283,720084376,555607736,38018300,903948056,959501105,637369840,737107330,227664256,125969019,623987746,706463806,546432385,150085747,548695310,876511279,711347932,948360786,202798205,930090943,534536595,583999182,316639362,597449902,59704669,870811958,859143383,400965438,510119998,226383868,490587205,266984757,87762420,926418658,332446558,840223342,553715693,392037171,274169506,663002709,40710596,35685209,896187320,711579885,844522980,947257175,595694624,994826246,802507403,983126902,952249574,81166143,343644327,535687009,421988160,851316754,307588133,800332875,120396882,996978618,969205346,552993814,951450118,445974328,398402369,528920036,810849820,299954419,476621993,181252309,616780198,88447564,776880191,400217795,666094871,94718293,107630860,844135555,414465723,745126650,75641238,243170712,949391735,502681535,23668648,442498517,172378349,602303658,807573757,66248686,302732102,624419868,526783119,214759879,56938848,773989963,6116688,529841719,791766255,355991306,452011847,274887655,919057665,864871858,917343711,578369119,361234802,95351090,860040594,330241482,132637235,155390119,70423475,644954261,604751333,735667371,422975210,529911598,545990160,215568029,784022917,392679125,150836434,465546536,276444712,710618327,458954173,832088356,746271789,54477633,521737764,240717864,495840303,951620346,760039808,659102293,688323712,854617182,492826493,607041633,300831073,450471733,801705878,333577406,478315774,83066062,495433048,272973630,505717658,97135636,822021397,716926942,570903994,827377353,76844756,747320126,258374912,890704745,103282482,144709901,250436031,607267693,232252368,815372524,463139871,246680768,475146291,826993682,14821143,582618000,534341663,631404550,541434981,665611801,439472516,897865317,484282471,561614622,180373148,860996285,530278936,115871409,817624707,791959598,665648441,773590979,353891532,43897111,549244181,525385983,356649028,855581819,730085270,781276214,553287764,480390338,315727600,589134012,349934365,37358253,133571856,809362542,512602058,984259663,964892106,830181682,193362496,289208475,858078775,335502210,668040627,123040187,723809350,392230477,349842690,176407357,519890462,803398589,844127922,279530764,777503580,825807028,874698322,654595778,299084787,448570056,998702756,878871152,144487626,280164554,541342381,683395342,704525843,635099071,871444074,854755313,545241191,416677760,908439008,6280612,113360698,825184506,498428555,659322838,206692702,819773326,78509813,575568871,494708703,692886408,198462687,994113725,185696109,819841991,924678596,441790433,160318877,126342606,132039028,890339217,35197293,483412951,290801064,910545488,236863515,46764274,464051392,705349721,56030673,373758335,542470180,379511807,807549296,566007825,62442422,816879187,335245083,627558082,670926079,913404550,981645396,607214853,111429998,360143626,820880153,700969905,390915578,81704698,606305205,818997036,839579420,205823519,155585230,145122266,964846227,268585342,450880808,290929733,701570811,422554362,176081897,921511615,101089094,288879064,468402799,234186782,332112040,832983691,926725338,327837559,991436149,518001660,474487819,656995807,899615488,180818148,499714157,959395358,274988400,388367489,439505828,696162650,510738466,986082850,229346437,255240424,293639399,194808292,13506092,609265792,464637850,75227982,840962626,267354439,336203474,439461853,840341864,721752873,776852512,592626781,135552747,495942883,255544023,844365536,800862206,971108705,717545873,513717583,793406444,439190925,321561537,700764137,250605404,335229767,583566674,489981661,757774134,655977442,243651798,967095277,10153428,836309965,309872372,342038642,349645730,792751025,990921299,760149052,567740315,271399569,175397879,33450913,651436244,481824213,403282862,194689102,143928749,640446543,650847561,165382333,21330574,559749504,282940989,635452680,198970804,787741454,224206403,116876475,888283066,155625883,860938482,99088315,484939080,364475419,153539142,226078558,750222544,213606507,688894008,276468095,278536363,309485454,494814303,565847172,185128670,474807123,433802845,898356688,43128309,943678481,969260612,22405733,710265235,117100653,838713994,728511539,888476942,495013699,520660543,580415397,712448051,742683544,462624548,480195166,360713853,296023939,136173400,767333058,887881473,565244375,692747906,432832017,25138485,638412308,130522256,576208056,84298855,410520161,416427322,389088761,624078853,902418781,760646470,258257149,899910699,776203807,19849935,646493819,560776196,546763519,823332256,734592445,614286546,616045382,989454045,17075584,7877742,502817732,224907449,855294437,101417127,807471111,560027782,533618440,678982159,848796093,689859567,190011906,5785746,42930470,192270620,880400034,838024067,121561205,290767336,111960881,853019340,341175094,766270350,188758306,727467556,136319432,576969623,280426212,623323983,774448576,588954976,315027230,803856696,29941095,431948971,142281161,925124433,861392125,80891864,972043980,629020667,561805004,312315151,476215536,771343174,987329546,357825065,336891650,411555915,343813589,195820445,882645414,410720520,753478695,663992720,774220252,749137259,930691248,434923257,161093539,770837781,354312961,193395774,367123461,565354245,679270793,397628751,217121216,11760875,403564348,71150102,368592024,897815353,994505662,408127559,13668410,69820824,69774071,861606001,604655326,121848283,363261206,533544368,538663570,172311982,220197600,172089912,165169436,429935475,65008037,699439776,273839877,490141238,490067959,444898877,393713858,176355122,59295682,892326741,281583835,687723650,870182540,346071449,332969843,335722873,337845984,45176399,24415806,2308862,1110263,952816287,413596322,457602184,608181126,138846196,683156584,648555388,136354769,70181525,911269767,348803783,586386836,95395008,639691462,197246507,784316873,351344494,516118995,133439447,209032763,754815525,844000344,579497382,543598008,669010574,810144603,990464876,974778641,697366177,327010262,370312488,560846170,792223978,70777692,730059355,645250397,267577093,38654537,752518626,382980134,931773562,481034793,391116196,978295062,460741013,36044394,427642224,654541956,229620044,480648144,220672935,74255693,164517499,848528607,698706905,270106207,72249359,728454879,401029097,749737699,540722419,515623264,186253746,447327384,667749960,257643019,53384358,244082175,319549014,824197936,312631521,223966894,407534855,232784358,271917418,921835724,796371425,768552953,771116236,720631769,176115214,463104294,32601129,873101983,726488097,905506187,772022708,790766539,277549142,258224017,534233396,457451484,984765991,666356229,285112732,105240204,928779057,733734550,426028638,85012999,607498383,350044059,192726117,785458212,5138745,638384576,530395046,160725892,734577696,298137775,647176944,636168408,916717020,145883949,21835951,609989524,624600036,130858009,196338930,205677297,242576008,182054034,173135017,310635461,239132350,820851500,952663487,842340211,870203762,136114077,875790965,997698949,398343918,120520969,730588957,512775855,8402306,149806096,944510804,590083469,73224200,638298925,377854673,108235234,523684573,737188402,2401175,346457936,172703383,68480745,645510646,29654483,134565318,758053746,173563088,30554840,677360534,923509332,473173031,395834641,895652708,605630278,508175810,764267340,286758227,744444264,379175927,449921848,733348406,580120246,517256243,809596999,389739963,149587825,518270340,781470036,338561638,390916754,176754554,761794037,291256125,837185091,732116166,43956658,150478758,774125829,643082844,433448966,145624080,658759579,975189687,182969393,969020183,514460413,407090123,806351506,546163661,456190832,767790206,497309281,279638005,353159068,188343504,276622066,11211935,845988772,129716351,179604516,901713398,807188467,221256876,372100198,210494116,3705926,424688858,241869215,463164360,789967778,906824777,30644170,922593312,870508102,295177668,871995365,945281750,819341940,739946801,12044988,154891550,478628932,972747958,904619787,377180378,731784350,399165286,818350623,864683908,829864725,859057886,870464298,550186631,806230328,156856889,902361490,150111030,427978050,635787880,202050879,942161080,109182608,896550699,225527937,1389135,745689842,86486564,864162564,5496036,777358075,770648663,79851200,949768534,180911475,432703028,450220864,512693889,78978195,536102254,846388768,709182546,684179252,588229545,465688588,62689190,231436507,444025359,446536019,498654777,254235486,757735073,3308698,204293927,166774429,206945668,669447860,587798803,968552651,702979778,509986268,421595208,658693753,311193363,667210544,522571593,622115838,276192827,342369481,249829775,310669449,143289847,192370577,276004383,46471923,517907769,38643304,859472548,63585522,426083874,59218909,808048523,857310500,634284520,914991031,768015314,338364133,56784469,549295962,905736217,850548589,436109554,602310229,280527687,581026012,250260519,94920251,687195072,715605344,812827227,121047329,820041695,944980421,761843831,669681665,893838821,636433333,658601084,775978999,693736,828142745,793907544,443095282,667829409,966972183,107051237,835205102,174982423,976935799,166285456,616988179,384074994,798097663,115797299,109600134,678026262,164419564,900720457,890698898,246533756,744699434,976145004,859338715,380534428,239842175,327532138,560228431,835422064,86109188,436136807,562260015,714422856,652486483,491382413,248558592,47127165,420724437,835853533,700496733,198441067,847132235,808758721,969536979,842604953,19246681,756169129,87299869,113484450,213818009,653256432,460648611,486615476,786937206,825708047,144959874,483005513,315277484,458118120,987810880,440448650,450597398,56606046,622491683,9315294,402591289,57507108,540247114,973140542,901497821,117059023,923403284,254770802,337402255,630798921,44869992,503635697,653696614,97691172,692823490,671486158,215593409,128049096,51064024,151859051,989625046,534568785,511865523,804590410,152789747,578002812,400643391,746641972,373386205,447966762,216855307,747531637,629084795,928318330,386974745,680022877,721786378,920395528,597250466,586201335,188508906,893020783,208741505,789442410,138210386,182816013,839489682,818535254,27724923,271657370,52380605,756435266,259760562,173264985,578466608,211415241,277351160,994433619,605014110,109737936,951816885,151872984,437301871,657772697,701015346,246627780,639946642,941448178,562440403,512597988,641431519,736319869,95465603,652165150,324041869,624372657,959333724,518346217,757774499,133957495,25561867,624193394,595748537,485385180,133084757,520071223,4078826,386659126,496469866,410370106,515826958,15107574,928205991,210199455,872281929,175547467,599313571,198410993,524338695,47629775,323066904,154106020,89360205,573686797,115368814,744836769,407702832,263786877,503687133,423034065,814447664,407373376,89879452,496409771,635738873,971649889,278605005,394342115,247223851,480025538,332259578,870606627,853005124,564178469,76818035,522787291,363424451,812925302,941133394,334980263,288203814,635000445,718067192,804859112,506098587,337624030,855847919,743511920,766591741,645185534,666495062,221502231,956728792,725035143,734771055,794004193,54537202,685441472,312704634,885657144,394300099,62867819,185463588,758479248,811173547,443026100,934869180,836211246,329303403,543539182,804216019,764975672,867375998,447868317,510966542,183996175,770858499,972270739,38602002,80079651,631160166,872300994,281068346,240997335,558428456,635393236,314092356,542158996,361794680,842118593,969462755,248845624,97040434,191026469,506195424,681539665,471462363,407031392,394239462,216587559,499172272,332717233,528497883,28397583,127451318,537488132,233106459,558910329,568846298,980238965,663990665,991044814,469848397,126594089,752774484,246840169,363050684,343002256,489655997,831774883,4605452,461419582,657440698,778869258,862580707,704169785,237590485,280719657,917848606,399201251,768310924,249798911,360027216,58620968,283331155,113392644,33209187,388100300,956342490,176128181,646260884,819012799,425679597,555714305,159394301,126727581,615741944,320363259,285920844,389710134,716652518,991139425,94780009,795769534,329150150,441979373,310264309,153137156,440310659,553597873,246448927,475695860,862712468,472822574,942394929,406325217,233899864,600655502,546895948,91896043,298293314,279708236,599795103,657181092,868248663,344244185,635095366,900328988,957509567,689693786,89137671,688078491,477664330,93445246,352223023,285209396,266489448,663740026,290760952,75807891,342104663,300477385,611318327,879011528,348294053,106086231,196436721,42553867,674326498,918025986,382097348,914538075,820088277,315177560,650795975,596956149,785016165,22574245,609766522,249342345,964856558,255079135,785320619,145692231,858090755,212951446,968821233,975005936,618307056,554840295,740845099,605303152,494750071,706309797,652583336,292329740,816031908,155579626,268639277,609245446,219889746,465165351,631815232,131531526,13062478,701402590,353034034,708865671,982572526,342768651,217796881,139746151,711073949,472232627,34719165,657057018,300804329,52433178,432447337,513173551,128419472,201276156,164603585,626836740,253252588,71654233,297537668,512351823,253067471,93486612,220517698,533772073,582928145,838113231,733856907,132050272,462980761,89920112,660850401,654018630,731325839,50814153,218810352,869687628,880218715,568822158,288206695,623106814,198425640,259896039,444148507,220412651,268566089,381656228,23542994,80244718,257392574,175154459,652689485,352631251,370828596,329552457,133958828,365912312,727582147,666037923,776103972,929325084,198793300,943852189,302232495,183812047,936180550,969000266,766663961,960600688,918582507,999670056,474277182,461748444,65009359,677365030,614150512,222438345,288914363,592560582,423273195,159464902,137919624,320902459,631475294,16946477,107593784,214540730,244393720,349479952,987091129,305316328,977991030,498549103,693936549,331120182,258373419,742637117,698882706,147205499,85413634,943554505,767016789,428963028,919921355,926169821,289139767,976246311,638471844,726514588,185575664,976506294,930935783,7899030,858614604,326844489,474869443,909620800,116140043,979361369,177465659,661377982,598710411,127139069,191418322,380466962,653272896,287567,354652750,912145420,705625688,374660379,231343714,97771001,891876637,53540505,791667094,995482807,727637761,547983572,687092037,69708130,294217809,527532069,721068029,551453732,681760971,334068170,789247970,426438702,724012901,249139531,535951019,332756504,966797289,860662712,278702911,326782086,895619691,920798038,766140628,576588310,147296278,668850596,439382457,429270355,351998820,524971900,783004434,387712173,54031826,870318582,856012804,817396913,810177487,207892957,905753750,27885911,325103519,452119173,625567570,212572397,942205709,336507021,558807126,968498395,985132655,245327149,49752084,211900974,604855819,925583760,986598087,70632960,761113431,530594780,305809806,393660218,200868866,433560330,997359107,398706127,825555234,946863011,506217884,334725323,51045542,920916934,594106530,487871743,891651139,110176725,703652962,117816983,106505360,192616634,55941559,617941944,805930388,860552337,379574871,629395935,469476311,808933250,582355342,430107227,435443400,342970580,848085481,385172863,83448568,652475389,526083523,527130743,97221104,36167930,288003986,830630121,908895299,359910037,721699672,958988655,507214951,340135063,333733639,13674951,138530490,504238845,853597669,161475782,580665957,178508105,166111720,555115016,991760302,197485259,958992996,15071677,864308161,806582627,885848752,789825399,281935088,892310960,850547536,98481415,864729687,273563786,501402503,344154933,371795490,463630762,320674404,11605312,687678118,934722196,269842525,364241091,315653646,171093501,116825016,183062633,489071224,111624964,145418424,76991024,87698922,681416157,139233010,667310734,119779365,932494558,66147144,122135069,467002453,722638346,60268554,589256691,648832531,734269159,882220814,571233622,336704681,190599105,436244589,875907342,789462854,393904393,407069785,31089499,448813227,629879357,67443796,145861820,197807204,657770049,411923142,705851411,235274928,967830490,461363596,443579187,566376270,304414,862248824,349509086,278475478,635642462,237584288,897702621,893664663,318171311,262992297,142347879,841650248,136917324,358280765,193390502,140045350,651227451,215213895,897345550,635899844,797985757,192931770,154401131,725433345,769010047,714105431,652404413,412773010,456397176,659475790,299563795,614472636,600074790,235998625,931589204,890163044,139305752,854292755,783643341,96761775,656652556,20269319,597959250,781095220,488335754,25384289,204738305,330416051,937952425,378552079,291837768,684930158,14292337,774441313,611889643,741677935,300904028,205082077,498876817,46089641,909831286,323949211,824866843,391993628,575000635,128568245,526646865,406300608,345148979,175895067,627665111,652871345,692092032,677330810,519371210,543410910,366080754,737187250,397416980,768852204,987061801,676183914,379982656,684601580,811927041,802592418,226626562,972281546,808144621,158223357,358913911,388441209,265855738,534857947,71389615,103563839,895063949,746667408,56927546,550920539,785598733,525132464,892093376,908206382,585287656,157284192,24407730,919188293,577685415,67780334,320443842,309094982,754227585,610293052,738040831,735632300,74161859,637987813,574366903,73270901,500225322,37986315,280581782,788866758,721731761,928927961,159385996,406039767,10269003,388473429,321262537,322101785,4454131,22478206,184223057,168137925,147693657,809017438,801431587,701682566,258792508,656559852,985334602,990809436,311274748,308399634,221681015,550316610,184623302,300892135,9156375,426367270,800641282,351118770,222110769,284776345,49516993,837633972,64611873,588156718,668443287,858197351,777464681,426267762,561354310,688175593,565505951,279429625,106183627,276852201,311951390,624204001,112472391,503958006,390597914,377471304,593586712,757513889,779390823,891189507,798915371,508053736,754573014,808056502,229942823,463296574,587119901,197470912,828879754,727876786,350586107,653181222,772746795,320171518,500923081,245425157,447068054,46252616,297556685,284867168,632569906,551055123,617070632,851735271,584875245,941473359,92457493,419046933,716985430,486071397,169289939,316572219,776539700,207386897,588027400,904565878,755780876,796074629,359992320,192597500,976686470,517789524,949350410,357708322,667423706,402310034,152801561,250749506,524999951,122639864,568007236,964185058,206706624,642410358,272227710,577265040,466729325,830979122,823567773,642286475,282027237,236467373,856165086,835380102,496387654,214254360,347384772,893096173,891014026,604944140,196083220,105676788,638228703,540527190,286965229,883210063,357988770,713614905,2415257,882829514,565608495,394942872,165977547,135077290,116979442,458679475,238495905,150470735,253963263,218221515,792276584,29151071,58585203,929358967,37910278,380784330,930003338,451465363,620841717,669185416,139853995,456998220,892342453,847146100,489536906,643326749,377595067,718977239,497382465,896532284,521571148,16602370,398812482,746514321,414042438,341521608,288987276,705099078,679975330,525056116,481073871,241397964,51056266,863844404,672199294,542337208,349722977,670149923,155617117,93932276,978200644,909605408,949524,236845855,881442384,373821431,238050740,836801837,855088726,285742946,231590600,441957455,402402291,969433560,854266729,870087258,164095154,295513901,416008440,165195909,854077648,667431042,914884595,465830385,306148058,231186323,617587540,581490937,422637192,248249036,438171634,72733819,916923059,107700046,176542828,585195119,330353529,770127666,407383679,570939418,244728604,338014930,916190883,127657387,71614756,473988455,218481192,409776282,526748624,497383607,323352893,530918187,620389662,9537962,423750522,652080908,491551459,517358132,458631573,89806489,24385933,629493568,789712206,151670169,541501250,789025020,671085286,897889047,684930145,673314981,602797516,73449458,193457294,185897371,789589234,185622204,236137593,477722702,855345928,442489430,992123228,903212654,777536059,262506086,88297112,656852473,259300817,830380056,651814246,914288113,157910472,438177584,423134229,513684977,996136822,600695361,984628366,41943515,944917173,528175458,620789411,814963688,517241114,782189967,159252370,937461142,446451027,708943124,283370569,209880085,975707674,744799044,774843026,313493944,658322991,371347758,559831878,157873389,76212297,915488512,209401681,908025223,674940310,52017183,436045571,46505590,985097990,680580557,53937397,618160033,135988050,56049002,208387808,891759332,810418977,863839983,523622609,500481015,576135350,10686203,397417576,481061629,307662951,312257494,412485832,621056891,166611899,262210239,612077120,133164938,777569592,630958344,362873899,164976356,975194448,749756135,331809667,278159528,261395577,174450093,634805739,64617891,415756338,4033163,296645456,424023797,606543189,478874339,932178832,136167200,117189166,175040482,275138410,31240964,210160888,974210525,50629182,474006426,836700293,460268598,740719631,455562818,241118244,136760592,302731236,738895019,879914491,349647808,636994844,599936812,603839800,346492377,255058321,73426869,692243806,682641966,610619140,446996751,226953813,580434985,578050365,642595361,295967921,693526601,725416747,116820808,967477909,280134595,676612089,517671519,886594447,973282362,42339583,936627064,351932549,668065889,457516096,889707932,379745708,115949646,606345711,388388876,929880595,362797861,292238510,607623289,999594967,874919334,144860211,386599856,1699482,840456647,631518436,687906856,315952961,760886266,924265028,441000508,785521306,305348237,804669723,772022373,346186082,203723401,62185566,804519812,205328884,923972370,677246876,803806231,684612587,761287270,61132722,359167983,462627054,815230130,220374470,117201013,610636630,394208197,162900354,506015199,509423294,217609335,598086442,851937448,934757772,796171910,928811611,846218472,141915387,589103505,649492027,602417276,560014173,965219668,302163396,487808272,907482829,787556591,556776248,978234014,670008374,529147861,839702292,754792377,941318093,131369778,412845893,908694034,51970414,602383219,676162990,644000689,273258960,323426017,474965518,381190287,281186382,240045859,960377245,68926098,463286963,107785425,480511115,281811699,630214041,865975392,274127532,96302395,345491867,600984131,490247554,363535522,955301509,649414343,993595317,328949371,126683430,27733669,849697016,668655944,687434558,721856075,970429213,274602014,37941595,92715425,939775532,235816672,538449238,487884414,897708869,220744621,465977582,390223989,303867819,557870569,460155638,906426832,233231481,631578455,172033823,397181613,708489667,624154057,592717130,743753275,927559361,46559424,781029749,621293546,314523301,364021933,393832400,232535495,653981191,743515017,408512419,812789950,542131408,669602774,820508123,411303526,967821621,573436353,172407870,556795710,213671521,669382439,194987885,495976913,184501617,763969279,457516106,851141699,204667598,640960415,811094628,374352816,362928109,809559039,262674637,321875492,260531771,914962737,285690992,459879912,621934918,385119381,549830117,95859292,698460511,202780296,855989941,902381118,687007344,682821441,753952454,433030274,317830055,715908362,48732071,796526682,873943675,706181622,547361635,820389503,972727888,564844188,695398538,273826648,498457570,310324366,446701056,982922131,221899762,568182924,534335303,400733422,156843792,670223029,331574138,481115886,247452622,55453661,941563227,727627211,987212824,705277452,485962762,738491202,689938383,82773730,939375215,830788976,327499772,104342946,298409296,416064314,634395576,878104321,461452271,469061094,818111640,498049425,628020232,799957654,152493078,925287039,943681057,194908240,280982264,853350962,697193578,437097163,242188743,456468022,269987675,423564240,513854789,727689198,874387254,24539819,993601316,932352756,895100345,876464800,484200097,622354267,592742184,462697102,810512243,541459545,506154150,791120556,540491394,565214336,626701378,375118197,512031448,438955807,846326154,938794283,698135355,931342836,377032737,339112292,121252305,44108835,893722320,13396583,299528066,579300010,82255694,612397499,744706789,956369312,526920010,208170799,268890016,978221661,377157514,191016943,856523648,855790498,220342995,456564892,772439147,813592500,646476092,15491034,288743148,673548325,128225695,124937329,224736652,855253658,406295837,503001797,64341232,199844385,24735455,473482603,793357233,547437412,386133014,67065209,921557597,25488678,591053067,20836806,66860595,778732217,283014430,163834046,723423164,973334764,57513605,477923463,139531424,330796118,787039958,20228544,6985631,438279912,507608779,308053256,305763699,967600782,755669267,822324539,471476584,831831905,974648749,991523837,521092141,30882130,830014723,281782048,938982501,408279789,200422319,341675477,923195793,788763010,959748271,943630278,793818463,31311048,585869070,329545744,58284824,380148932,266892488,421766414,634991287,776966072,651605209,248208428,229612741,671786951,125084578,532290406,605551977,129804760,502058978,922644095,470407,496351205,628049112,992581783,537671028,201747235,691218163,578430352,911628151,559274919,847941020,206145775,41656465,649503890,843629834,969978694,433326934,582062925,463806228,96451201,865439889,429395407,899592530,670809477,114416573,337308289,349168879,469402379,898913332,562836958,946610587,683378794,553574917,414203968,805133006,224569257,136712074,400636967,576270155,5344381,104198047,891983151,51007234,669603234,907457848,794477741,224303538,605753086,585731704,191577548,186251870,144574837,246814917,732912938,497061552,757918293,658058121,776047801,473882865,905965614,18796417,348212555,42686486,371970187,141908636,589459939,781437982,266678843,842067654,697074511,935860800,514849716,846810992,914473210,451887945,998238630,109924734,691095849,472407506,836115877,615758817,638388913,909099757,672593003,904315729,576553929,96808214,630695532,237838587,918670395,820555471,315336915,549736799,294626038,917900469,367382499,496537949,141825855,765280396,825802453,986094170,435781376,706614652,585075021,188977555,890805043,940722746,368449044,181646535,151581907,968207178,34015246,170404396,32446332,69243485,704925550,828384700,274617426,916512673,978986278,415793016,861562806,135487096,480153477,993113813,433472514,945280237,926859660,632905962,900459005,977093823,851853757,826623315,22001001,796399941,331667535,450227314,631347968,641792584,905994513,643846830,876934116,363031276,947113432,710060026,935607465,522126001,712255058,940212107,366562826,182996922,170275342,154878327,765436522,366731965,253854004,301980160,796343563,715845727,941103185,800891133,783171966,522019036,747063004,601250875,911193769,562202160,468467012,564232967,68124835,422127491,485225648,855283433,276572321,501415457,992395225,328698124,926227273,106341374,351704308,722228780,278384473,914460965,19023395,115018861,82368655,841267305,14037648,62992766,921676638,393059044,606987157,609817997,1583504,856393709,136308473,635969522,464713096,180518477,166603379,939290322,692144922,183916469,901759790,904065859,229288030,41005128,185832591,735739475,960659505,330954967,892557588,314373365,811921889,839984868,88985159,667246963,682830338,923618163,206990570,105610067,304273574,906828488,915804743,197609782,384082648,547050412,762668844,150217486,997085028,983455126,847056495,910163732,485644031,750692193,296161443,965300228,445528678,507085306,523007323,269038543,28239427,412090614,847845288,390672668,58163751,260862379,13028972,441745897,212183930,101720293,82513313,256526524,908180411,244299519,862195814,317086139,11015140,660704122,682186282,313943155,348042738,793818179,889111686,202411186,388877845,864689946,667703714,363270490,223666338,373144406,13763356,713612531,971516247,957950300,498765648,659684233,697638235,136575037,976322873,33649936,301710157,642899776,485470483,585121657,831067190,910604999,343531530,240869511,586366689,519242158,41712328,265004350,998805458,419691613,432417500,663695849,536751273,955722068,17978667,561481452,51281261,626595938,551621618,696756282,101513253,532699155,360533315,467385310,935824910,282370173,170923127,893750926,16270915,62734620,325702641,963767826,566963047,431493823,795823543,108688544,645056965,676994545,200328285,769503249,189488537,55617085,506292678,773722534,641560389,432609475,769778940,253556555,588146310,684136538,78124794,183425707,183511777,906199417,189279392,427402138,632149794,173565810,953626710,189754459,324233253,158113224,945676087,859108298,8946951,100880408,612412139,476432352,881745196,951365388,123472835,565638008,947572037,968585181,882780878,90040014,778579773,164137269,673926607,703711966,942631818,501578155,274585477,560219349,363437247,3789861,509813286,90968478,502448417,71700231,121024400,397727666,30262975,245025931,21524531,859439691,432745084,523385617,423639439,999880629,956764113,338718367,453073080,679589368,734280427,755980123,654863818,236365483,773589820,872894174,784344977,703154416,248713614,848313626,782899390,970734164,494027309,866695645,273909687,436042573,706770029,530226271,982672952,321796119,187554338,183097622,897648124,419484472,110675630,269950440,261057644,413520402,274518237,616438252,941943897,570798084,408410814,484656372,242122967,348091784,286183382,521462947,173735224,595106191,950003997,129342147,299068448,364422219,514193088,15701787,819871850,361034880,323440427,661129888,51457852,6087163,532710995,671111438,305997058,385409939,64711600,763399581,566324045,777456631,586548880,89591274,714631738,311431678,353478258,72049903,662330948,999933483,136498104,678763605,445570509,917459013,292508552,219161926,481408827,716415224,935269007,100417798,767799942,473015403,854549668,206508837,368244973,362905078,837216484,694008919,407415965,716431104,65947961,57025631,733339194,914430847,334515284,231720669,352880787,668798278,183680492,855511051,532177371,281084894,431119066,615405291,878312881,233479684,244469059,823956809,897858567,957255251,536638444,275565917,241936775,410396607,388194722,672131613,558760843,883957452,404180216,710267018,545536032,25174411,849873347,593780860,240713189,160024224,302867295,463400948,558088844,321555345,47916230,825119524,436955918,943774082,92823595,345943124,842593213,884662371,741747402,230323542,875079028,87983554,68888792,547097374,627883738,275945139,830353940,559648795,567479938,219665348,744925210,1163997,534092314,442506950,420619766,710563332,505809331,426730663,935036050,64941741,697804818,606660355,685987419,719714660,610617127,878759734,24972854,191580518,998975053,121303272,275914368,127720450,653094330,875749998,299828168,232659630,44914060,93263882,801862212,737475492,74385252,156920367,681766353,340913296,699008683,734623133,415844565,944495967,672920866,766891511,767594762,574319952,226540889,523424404,981407949,529184836,462730063,34328460,363385295,187695724,132189977,66603120,592723454,992694973,509538324,330671153,344255798,535581700,709312207,973492318,838250325,388718532,632402871,432577368,49946823,435770116,106288852,981315996,22632722,210110134,660659803,560209583,930422039,945303113,140798752,944916888,693730187,60990064,105893799,39022610,548052896,378923552,223214203,847393047,577108062,507518546,963144246,890793353,197234647,702154090,101209457,710868315,935249167,30573853,286223791,562385943,82702114,550084825,521653672,423348505,980479586,433458885,652521797,815835203,857896213,150277480,732682719,456899269,851975779,320351423,491250521,970235745,480322230,418889988,610773350,294596588,591365247,373579525,853979328,4751977,984754926,765956895,13100905,316796957,398885858,841281036,831903522,192846690,366580510,368996525,661424861,34030728,55540846,499062437,636816111,332779647,887540155,686828846,9443882,35098624,130965322,407327428,803573143,755448642,30836627,805904208,986554620,327187473,594883085,923273408,986286285,298690846,176015404,950767596,622600844,66188996,232323184,538880094,984766983,54255148,32481802,327482959,239928001,440520915,440336843,320667910,505234672,782393333,576889536,313502095,905666236,441351914,230380912,357038327,762126010,473918298,133006831,73127677,99123113,724765120,671941182,410466277,417349613,361713204,488413940,758809788,810409899,185489272,970734562,313521540,245315146,737144408,391108563,907655659,177381120,418351101,87953075,206123025,596535639,250034171,855681349,467342866,261630004,859923581,50024525,826619881,418391686,345997591,988420069,105473816,62589645,558828775,719647968,629130337,109201882,421252253,613028452,630833549,725873419,632314721,491876937,876658597,419461057,386158705,297446356,503862103,655852639,965498146,923976228,754626573,494682905,898843954,686406786,167635410,236423139,729154638,504691365,960261551,98418571,193865033,175624526,432305250,400704260,625737985,934029091,835677162,551568858,753984660,493505892,874380909,953453117,569382676,696936412,160476772,494818142,487472152,29630998,135606328,875400494,278814602,456461507,382307401,729304058,966527349,947833165,136448477,156557075,196397538,240873095,689835897,178863759,783832795,245103035,93040579,772538741,213270407,673934981,639178540,493592145,468629718,674559007,464683924,627690893,217476312,459627876,814503673,686199576,857235082,448043401,181637154,346293237,994418657,984137459,726332281,247761364,978273323,865494300,917672842,69941958,216104441,413889783,971287737,722209236,181840039,656552048,853173528,423345991,986830923,665935135,127350482,66302556,680736473,126276018,269341437,992270865,736250190,540563043,682297769,255937194,989721217,204671764,612113371,911281153,511839224,793694231,305098171,757813010,697336108,524098067,364375814,291599192,807152784,94366511,737606082,697949670,194230622,606687813,633197229,935110119,613145859,532048859,883880876,372409458,60987564,855753217,744367968,832419846,59622005,783899609,497843877,617880397,403903540,686487357,50539587,988004764,161837810,666440447,242042563,377899570,886989760,929870399,624918243,677842746,132041497,835639494,251884449,550169386,708525526,916465605,832512317,709345885,284435651,368154784,974272608,719607964,925550781,155856877,651933758,711448155,242319241,883315027,468027123,892563390,92147669,606274404,911243333,555120181,32742985,242550783,346454172,346929928,603520579,331058136,501535527,779324186,626383133,179010621,817826033,402716486,554696923,236619191,278921870,779452361,109287852,199186619,175292215,450642113,548974564,250969917,547621510,901715078,796931585,753582648,85800934,975418251,495603444,510539119,727113784,126730162,83237648,987541737,483162227,616224367,772901236,443208187,122099225,356927666,820158698,416385766,311399582,325140764,319873117,956114600,963236767,161450969,762166755,980969756,767901876,990992147,835906733,108206914,22021430,776903613,266902868,221865653,588408267,624554942,179390801,985718936,753502992,664748023,761637338,826111598,594817127,403430837,577677656,624416964,60891121,814554950,961244461,940541328,564259884,566398946,401718792,897735064,610558018,218836720,632403250,311870293,133368587,246533847,360377244,115474691,330500694,985718642,625551480,240441890,947103770,635043276,870431806,130367354,343231803,207495573,557289394,260759235,852267286,135704509,81173508,99182474,195215613,423000582,920597624,975992923,510627398,256030214,94103446,988985776,555562116,616015568,731712387,710454343,156606440,900409622,976201911,104361900,448154852,273186309,579310826,27340896,764818310,20488705,462406228,653865425,818312834,80304313,233244692,21607464,769487868,158340002,229337847,401439086,91730997,240263237,498061283,372913682,374044781,671972699,186972594,408306235,562351472,880112348,990472377,635471666,215435701,960775991,537287261,139584569,390944107,904406787,800263495,8895680,726211712,448016388,333889584,163873675,532821617,174630534,27246886,695021913,845168212,346178383,68242307,663420037,921107521,41171673,225545349,553665894,261254410,461651765,208252577,107042483,171890929,207178899,820978157,330089199,126650900,194430489,645010638,594603091,269911620,28737411,588714785,100859050,95891332,202081623,124172794,449603405,650142299,95517178,428677520,578919730,961671094,213167430,265803020,413202029,520813965,281752288,453929719,122159989,86200106,796653325,851722865,377553853,391484004,20008306,969969417,110308429,923139882,806496370,771277337,974903706,291933904,241540790,32458624,379823801,659120265,643483174,4944852,856557697,688913176,598173776,225213861,151642369,560405324,54229939,546280962,346679668,767109581,169776170,774158258,771855608,638011520,520315710,189344266,948473196,744645731,514863902,330601213,637852210,786881263,418079892,827151055,571921393,305809390,725003833,520201266,720612255,783123652,567761917,164021820,81385975,161746849,293708299,769283586,796429170,816976036,5775140,772340937,652540534,846862983,42214918,637393928,47248297,232592911,267807946,957825646,61884298,143879444,483077413,758092892,956409163,732131826,561911229,191804120,468129690,631210514,366105210,694038551,709834817,579073049,407785286,66623727,34748292,740943089,794526870,272216422,181816987,22881532,688436155,732109206,98658720,596821099,459132157,26252120,441137705,995786848,276107011,531259757,690849081,974115399,934777877,549314407,442933001,225414833,317631316,733762705,268381403,204002038,846854697,846617504,700203544,476409282,512376809,106801653,693060332,72941097,164755981,429738206,971634857,507482922,77645189,67502369,730622526,343009639,571131616,751282675,976940959,442408054,230669336,405599190,101990011,14211332,975361338,800227319,619322926,629337768,576154641,379756193,988421215,600423429,596245896,797614550,694261730,170756951,726273200,318253823,780533818,195722794,304571097,364913842,903552751,496504950,808491671,171064584,674762254,483802750,734781432,477341953,48722971,150403874,452453080,90649533,663693932,611742088,621308028,638682783,498249138,474108965,977205207,620818352,480364632,948531396,390571028,255944515,623233094,895730522,418795555,682995262,40614385,564902989,821905649,593535728,497992986,43321427,65820805,508482539,87867533,213911864,184563580,678901277,977065590,52195263,98627381,393360374,628942280,483565843,124014029,813439648,187216391,593780444,457361700,417026274,84032016,136200345,170188764,819215367,11405211,43023771,209571250,666374202,855368310,501830264,791797641,929793257,847863456,527418602,71652798,275795919,12906991,425744300,758937695,517547214,702125494,101098000,54239609,700974229,669000465,379623891,459892641,171713287,701206017,220288099,777292264,798032875,346255540,998580297,292581728,64026849,153594556,292882853,652176359,199516444,835097759,832499449,481162190,191798076,521044532,389133556,435857852,559434344,685561284,485310456,935266880,832923285,523797941,39037806,815616024,566644230,167388722,842278767,968864325,571312815,230093827,846632390,591388618,943024626,600097526,860190183,270717357,669694798,988735124,17411299,89549327,641086538,456092061,185938594,327979217,747300113,479058260,156861079,73498548,168799861,936735465,668600779,222869848,371110147,166177491,286564470,264271415,181848610,951352408,11778067,302930785,16415030,683508369,880230391,375448040,798255156,146881824,572561362,793864223,908935987,102646810,321830427,267451589,425820278,70201156,71273411,337185657,687775170,603688846,981482665,214820511,800655184,129605344,334641698,156827732,459917784,224740528,883480206,312806111,974206597,332048520,554124460,523932859,440090940,497261088,918664683,270895612,662323432,657977051,685420783,929898288,389646222,222571459,9606225,471934716,640585022,260462266,696482184,629685392,516897915,478415980,318432000,569126286,785759850,281466721,175210464,31364752,432914270,867378203,31956005,501172318,673267130,697435538,556740518,932946722,747784347,729673903,348068857,169499782,858543127,674467607,12895210,159089161,938165269,969128207,539617457,14302123,571972171,531392894,586374304,344091734,642775616,330811573,719155021,815539190,536926546,456497821,526215840,915974366,355054243,436545594,177412570,795279154,268502538,671439106,73548829,125782392,33192447,556673871,192531078,42143212,68571599,574106012,679519299,976821728,662896500,236065724,795324456,256074949,200628516,778489208,42408071,878986965,259908662,108843150,536645878,892223497,25104686,406834451,265617859,655863356,716794280,965757501,181170224,858691110,468175542,562280309,871884475,326715108,960523710,527094199,116855448,963744591,553436399,701553627,201382253,118200974,672999069,612346670,839851767,83807990,751280796,23563524,276468484,934576314,549211305,761825340,481577684,711279015,623704507,978747221,404409076,806992231,403263818,341560608,150555650,904236288,255222196,808047449,806616617,7087873,349098502,165009575,346438575,251045878,249938882,768019308,864558315,574583620,203760415,187395482,635040581,352142599,594549664,914875054,385889012,698971176,943554370,624545402,891504344,946245844,398201465,993760394,737438895,821166571,916185790,650637458,357212947,261416824,177924386,376975265,732672085,344253626,462488288,102506159,519978852,51779944,868169466,871074149,47739261,826891809,124483958,161501525,75873342,190160279,890114857,152745915,291548222,81080677,293348550,121695394,199677510,163376024,261096402,122946147,745877817,144868763,616835385,857604419,146725968,704056820,236283912,439193484,530573764,605202410,766164997,388431369,391184358,26954585,751860024,839986598,709346940,314170957,399102667,641254588,333227153,299556713,364683851,736525360,501503364,259758971,177082955,439268655,279246628,586075088,759768908,161071997,58569629,947751459,968360091,280740316,701512203,226658006,184111309,22143038,172555180,462707392,334611976,520757003,458038454,186799533,772960764,971511477,319033556,946836994,517925862,664248087,605330462,40400324,456893554,41584934,532827382,965830690,985147965,953082380,821701106,918302862,542953426,22790682,587688554,466655270,235182448,541618745,70519441,203286183,91197828,962825038,424881366,858694633,566823087,219327021,242746558,461415983,424375546,40310668,83359557,235816754,225661982,856527417,912519612,530231145,487326699,276586691,755680897,3857066,680059035,799373267,549407311,436985269,27700951,534444145,65866987,270695281,937137158,74948966,377571673,319808629,467833625,682083202,622072621,895053315,476712301,653853046,284877966,787753971,300484984,939546917,527744102,975247249,759877165,837950095,927051395,134008188,74486376,741814192,503219867,250031519,537439711,845462024,288490416,8676211,993657065,194962033,265634743,40774401,16541725,64869459,815380446,969674170,852699538,657990131,778235215,539225470,999706375,492205020,522172330,745369084,707035099,380100724,610357854,783189241,350899960,644682037,452025361,65583772,430720463,412512879,833421022,311828991,996762520,769408027,460983706,9877600,6744655,543037853,623948880,36087308,39443160,192052802,666000834,346414931,539725506,253887598,568888953,870503991,670108679,885638533,788054968,305416405,451768046,123305268,164999777,267386647,601993671,956971664,924763918,90590239,784240385,119280600,601460970,815223629,765363625,600099690,808656561,175547202,596887170,945485585,250106484,968815383,849490710,472183078,331111867,895090675,653744342,560165824,191154381,285384052,154000277,59234350,196306371,584412741,865907751,659324958,278635861,902395685,896061746,820152496,735676511,823590218,783455284,726963222,264238832,234642039,553733166,934003466,996874021,701089705,64518123,311906857,966193976,183027545,123178790,376584078,566768296,110559825,113225090,294744658,552479347,50430503,505970450,902943670,569024286,924716818,926294184,521536010,753329880,365433909,573032704,631040776,920620340,129803188,316673594,991931916,298275228,861571353,908061327,905927623,660303795,264357542,627994033,387320686,644853917,59716024,358997283,646399246,906992587,958804642,438802342,402960731,333215374,499112242,703144273,84272422,64279765,834911839,65884340,828838070,169971490,812045020,450031527,768257878,879666513,351759276,993244164,102044417,747060416,998157798,379776890,130786058,673668674,901861190,19661974,209966186,959519713,784405710,514749493,845228835,813249156,627963045,803781032,408988559,244063654,113017032,349551196,886102365,794111053,257951391,178797380,598688206,879276586,24751076,297479872,283270622,334225042,218845081,253605645,94299670,254484595,661047011,393203519,723926514,508231472,586246039,412893418,550176180,546046282,117252519,542244402,333429535,298359336,922399879,95121038,605628108,437716142,364320915,649356341,509263547,908838012,534123262,586456912,171487373,327937119,95443280,108950052,751263299,204560740,942985312,720842742,164618259,268436560,418323862,138097014,336923533,523102144,191583605,610219873,907022101,832105517,866041233,53462664,588285270,884886305,261788837,487070391,326166270,679854079,527711497,705422764,123087942,628944978,203751044,220054470,45154028,184029547,886890351,870603640,270508898,747521893,814920149,699644954,972356759,429635179,418242937,323092032,436040887,283357846,380304967,16214890,237552788,388132406,891897266,54128994,647660653,843456082,984419693,100043178,283893990,33756145,627711187,267399634,976676715,691458827,985264394,324662512,687530586,949658183,766189733,694306043,755447547,248187956,977574514,523026187,475540919,426571973,764213911,385467764,364244654,240664322,522213575,912765460,600905238,152723868,590595602,734474005,996163141,746805230,532573161,489109845,347127663,598166782,769902465,198840919,481068029,234542067,920387094,864255459,828274079,442870841,141858880,603882557,77558380,836789423,624316351,488838321,279205715,820672542,449804961,420333953,691432914,35053409,102941324,119043311,185083685,819293739,713697593,455988577,4876281,892906703,457239572,315998819,783011132,160821517,629171711,698477467,337687049,605192005,77382360,703527730,277297745,359038982,914104139,658154920,492081770,484307255,302796981,148478604,775169310,667303975,959313300,917701187,148562083,210352090,626217599,945015883,710543134,939074431,325523457,577183555,942560225,75730080,711523446,635633438,168105511,296971077,687848331,687748475,352037246,500478179,775367279,132184556,173786431,759800814,408107070,81341598,669657930,906479453,901376421,552978852,647117144,566214490,320069188,807215899,781786813,333305064,974376278,531383147,381730159,312995539,592831843,10072067,695328369,252402332,639597500,255165229,797715658,860976404,386654985,541467068,912052151,582076002,671600109,156645909,199947497,889515222,508593627,946077164,369159304,175092532,172696022,732310443,170150250,315017783,988034364,157839988,801945276,471314692,620907268,702054206,856046470,771424946,979309613,964631592,992054302,548709587,881764633,863068128,435882412,1852416,164315172,491957896,788044514,397498534,680762352,998744468,822436132,384826046,5620569,34353125,153710568,273875542,135854696,138966699,445243932,770762567,166956041,383440391,59318132,100353506,923414871,107618212,523517719,129748702,717413290,943278873,168609636,462437596,93981904,879689929,623522731,332674062,107675078,503350170,420408437,893046047,617748031,944003971,668201338,423982176,252739019,662555634,211361393,122831564,794467997,214752295,659709420,960772852,501467766,327316822,431438403,965273976,576217216,658267775,665204375,916332754,742581083,927306345,327174909,860088976,476965288,193653543,23309650,573830297,90073358,108106868,25377088,235735456,216826611,435424617,814991996,179543498,15435028,339627225,688392641,912712244,736306177,223813763,937230393,26193197,800435677,867683901,476586230,538712972,251539801,938588868,749278949,791831595,565931546,109341789,480122053,29134873,394584186,1445730,297599239,481011379,50707396,257574066,117677697,701293097,906643824,363523421,364693331,585241267,104847617,971640559,466530289,348834459,892915326,959568463,962484035,704810871,879791457,92065218,91197459,611322879,173906089,590907422,491780867,657742467,275766352,714829459,246021763,861380600,185273487,627757424,991169442,896747186,874989408,940128179,107130827,529364463,886339571,323612597,669351565,244667631,711147423,888069489,810386388,444037122,810529196,543606489,167594281,451785312,70000250,739382085,596913228,423665291,866716583,720126987,252224767,142518073,977550432,555799186,91058852,760572969,161357030,891828770,6655443,617438839,484235838,269142134,833874929,356527967,776231571,529819431,884326244,312485764,838344573,687999567,836696831,313829265,110326339,974925648,956255573,606864754,372043752,616354889,448435351,775272927,692964231,43516237,325250388,224477996,475063511,831884709,70743865,541543006,292358299,535266294,659948340,664627898,53142386,739801719,606460217,961914158,191332276,387203008,397750259,111833269,243962527,267060047,319306591,61608294,563840708,172989520,7242417,807143916,125643393,329733974,786095262,242481676,563003378,429453132,222062050,606204872,212313453,258875124,160531296,914535210,988984797,94142069,597477091,611761601,578340510,699397635,534275242,54276460,551769811,127590179,852779743,89243852,960069743,211319213,460559998,801426476,325283407,655340436,825558121,801876872,930874439,113375210,905649598,939602777,612403731,871979248,755677349,686174232,791205623,143599087,787647267,80733356,899007344,691152908,214509185,43803905,810455755,501567843,897430196,702502492,349459595,361298264,795559208,479416249,446186735,114998754,798770877,858526750,853310892,78547174,641895942,718663621,872265761,186882876,326071555,384473149,882649147,269862764,194661254,12757321,626628351,196432143,479915780,520252438,246026292,685544659,294032334,541607500,880068714,509320717,681134976,968008730,33223756,299981609,701975447,541705987,797641114,298944689,727233460,825740998,749508682,509643038,208136873,237300739,371232536,582688389,575099407,50754795,663731682,455945420,393675836,103182220,967249877,144741488,242423436,535324498,629630384,775572129,524024243,852144918,695825377,774986085,974591567,756165631,258025996,728557475,136682845,177858719,260070327,879295966,503164547,321018696,659941725,939691702,278337218,144780641,962952600,401992382,307922801,997651806,70399502,777332975,407915225,102836027,251508777,448496919,382121097,857641836,179210187,598077591,979421303,636311752,258492197,676574743,712759359,507091924,441376310,125497789,550221479,641226386,448843600,712092621,779041174,88389270,881279749,667616233,917141349,510061687,314036313,16586647,415096765,618916212,209668628,175802687,457052152,267936141,789441161,548049068,545407340,366721025,173931187,827021172,634024038,17692917,667908623,932881476,662595357,977537435,836086199,174067021,275937452,811282001,118350161,5322931,958641017,529732382,128236388,745220834,325690647,55958690,97203653,752041532,622217053,629900069,950751916,733723303,956513129,7907868,541438757,799296966,986944809,633859812,494304765,16554912,679897361,83316573,17866320,375358794,336122645,344179367,478404039,177672946,558771145,559577,194874303,340443655,784337535,421609301,635755654,379194589,564788253,919090518,978893303,417393740,70419061,672502643,341858533,554021501,992479350,199925032,927009488,440503682,548852319,897823599,185157257,796752211,410108291,175314778,227928428,558091605,231408686,314834951,215832948,475339558,202673651,405405586,970798565,559823603,145576384,183694740,137643450,638857338,444682747,441925413,849856713,840483936,772921804,439097456,673541786,652081022,278141875,606795047,618201514,234463000,743306438,559558853,449499604,653682753,981015357,532038782,401022134,436293158,711373005,510549040,278746421,165598794,404706834,80300914,666319320,498938346,839459094,858091942,375510425,58819998,453646864,512266131,745576673,738582559,501819774,609815977,269248967,723257163,345316929,533190455,879156363,871275594,286580132,226389380,618211375,50444353,37008864,497196712,431927953,287007658,944926923,398002342,427745904,897880282,413228618,69843500,567839008,25644904,103004312,692678476,524557032,560078779,379815034,991039148,52059168,393851503,632372225,206461319,482639593,664459007,130411793,794030187,568381968,903836573,932333026,402480283,994983515,930359407,953290276,478586455,732264931,481179807,978630828,408059644,214974704,747156890,251227236,38112193,875772566,43515470,171801081,446328520,808474317,718866866,953870522,661848417,352244885,947207427,951214004,538418310,877025821,559721137,7228886,684355936,554703179,901703587,858465562,256617271,423635916,454654210,612217753,892325828,20559458,302611046,967805483,961960960,201567358,242614457,633248399,379094921,868977326,708422348,947869623,672604054,6446828,88179527,805388645,677329900,15651987,648852228,473229600,783528682,781290557,690864122,213567855,717488052,103662961,860370530,538237342,345883821,946084249,723653106,529065226,551129738,312797108,518805624,270225998,34871024,764011692,948868441,527132448,473590338,788366745,884189515,470861997,220783209,691421209,59297726,590599480,994456381,491168179,517597160,102725064,83887658,419889115,730365644,939355348,554712596,338704774,805775136,208963416,450831248,176925848,300172088,123407976,983391596,451300119,71853921,518828896,62581166,128081308,989590415,824614220,412680904,61377677,524654150,975331274,486554354,216911344,348726246,186506810,747667201,410153134,901629515,325508620,308367977,517868643,73118853,241744146,379501625,683379902,117047358,956184967,717179501,698554976,169791067,550332291,331181916,107759440,982980276,263149790,586637722,44119416,461532420,419061755,711202727,185056643,599737747,158683327,758769154,305004553,595050187,654417844,81745168,52727236,981432108,894187381,455900713,239558999,177024491,972782403,692129605,413343028,719188459,672063039,724958193,562562640,556841811,793129625,363407536,234635191,324192313,509423090,367103293,917475156,16455836,129223589,407005545,535910401,40448684,935403525,629899030,361726731,678614049,864371951,528031093,377494023,171770081,205014221,596125236,604814963,43595962,628379630,862301476,801188185,507499080,287994922,632303504,722196062,873160048,669354230,11647510,825426713,682270082,309409546,144278710,724142323,835264214,32402806,371829099,337915296,240303033,210389152,968003680,754739543,621731936,456985803,9317204,87755611,110863501,636503295,358003208,826308307,844101178,418134666,306514828,768088082,745381186,486807537,431999794,487169055,786509654,513986228,133981400,526772372,486204303,302109835,813305258,401356178,57300504,204221663,950247615,103973026,25009885,148691899,627004598,397519712,840122292,591760747,188869017,165051914,487977904,202753296,524582812,29855096,237424047,15012675,312309348,171069733,622196327,444567184,668742741,372267088,696017488,732756648,816076129,153908772,890981861,907866277,194504781,11740086,60274378,904106198,202131772,175066337,991388360,584317066,963179613,398430259,353092873,541909489,401147621,347518268,535681605,662066595,672934042,768581862,200944880,330738237,761962514,922740785,765710842,283582997,149652225,511514663,315986010,602501717,414461739,322233480,839211546,902709117,579969092,959629362,882900643,96247250,302690537,146278538,286869891,31829485,875397916,348447783,829790434,127727527,41213231,798416246,264968258,902223912,628801250,858811373,757739461,285810012,368205443,539974414,483391630,281754463,935601390,541043992,884330520,133731753,936152308,822079165,749982410,465350972,25453918,400760525,999461851,218482853,60120526,347296180,295141487,299465626,385711015,210669745,2406984,581461398,316736126,185508777,785946804,44382874,364153762,119932291,449531271,950812167,640221454,154498907,411199600,125170517,958399459,38852681,430498337,159357346,553272429,190270430,506372995,322647766,24493640,864967126,557140536,735242101,233206806,562604940,609917295,767982524,175131199,204017970,228656675,5968437,790676845,907371286,376778287,22503101,941845307,724046408,432318378,902864102,837498007,181608220,835583359,330665622,28135972,203681453,188635450,450526496,975637366,795804730,595055172,54788111,376449267,608718002,92100690,474937331,72663143,486087457,254965026,90601139,540827028,942456318,516309593,796203920,813463719,949107317,196189261,754736756,21704855,467075695,509723251,48553248,195898949,393846852,630074826,457640585,779059529,286912159,174034155,626514365,417483310,620994945,645738224,934700234,53161576,756906045,960164109,350152456,995389655,148735919,345018851,892339102,282752334,20109577,844674620,508695186,355785954,817728608,610887938,273019979,327299331,486225843,701034576,117324744,372504065,784051834,49237352,559975004,517642902,662451758,315568959,375088931,72862305,617918049,315003345,961432878,622346229,322532032,627716689,944159676,592476203,105363703,306813613,146035413,654687315,553803987,508951543,93643531,610790152,533072128,519374868,564851180,383209221,387801705,231135326,239174494,656868544,618739913,747048269,137378469,291642319,578122856,345644903,215303674,633574869,627455956,101615137,951459439,858693982,149047132,585831876,560873857,675480432,307727646,988865255,823044506,414528567,117505124,750005946,43758862,619597098,596284793,50922465,5016994,980230395,257499346,32752845,575268590,59610119,858348210,360778691,315087567,562374336,940801329,130494738,391568964,949938361,60563185,764092671,301283620,720388956,922180542,5258144,879056921,864766825,595574996,993643527,398279558,91422758,839461445,507638893,137552906,38755041,970621522,398205125,963346512,292727734,553999911,247007502,205107784,960423102,878302529,805647546,861820533,29267418,52875423,957082154,625136026,230570210,993549439,941894834,391629385,895675980,907738630,891279331,32434058,247120356,342420306,51555521,11692720,371674013,499468091,237603582,117802813,830740863,361224987,172866755,240390964,663787922,983257894,827053225,487398720,527138164,432837246,131674771,288879602,923139386,28041449,312561358,156906511,272233322,496632542,916557813,8349736,628027020,691561357,585798449,801549714,915072552,11912336,992790565,865703833,830466290,303330678,881549796,663354181,48136280,189276270,591708726,160875661,876328276,121224716,538139109,205726075,152531397,181543049,604279424,764405271,223953415,933045311,562468955,491417175,422564755,735592695,643523627,444012677,420818224,595191168,521966112,764586243,830044124,826661557,669660053,379316438,256963316,649261511,862369214,457851475,762160804,271773378,646445289,690099114,363543151,750620967,354424578,959015548,168198264,231724811,999744020,860055474,77484536,255259854,76634582,542112930,351483049,646603152,814819977,913435179,915633398,824602273,99803957,554319045,77731927,602053829,259660713,160866581,255203539,397169253,859240739,743925202,556686610,579271172,414291464,789548271,22903334,32321354,962704255,366218841,925026268,422797733,234295107,962264354,801213261,64060182,904123601,287857393,397688485,950812461,401975829,813030457,591481434,30398683,257786959,414466754,288894077,475674607,771923640,28414914,896576196,371958462,756184522,389310446,814912651,486525117,51254943,271551672,532571204,778303114,259629248,839258362,506814498,80175775,299354503,248144371,107897492,307485281,536151419,992783967,119536128,618772961,573735382,68376771,929009955,190198078,406664648,120958616,930411300,12825062,799929704,98803792,668210754,281800740,350543835,936421194,780171618,336642298,256184150,657044450,773136581,965444327,64462146,781634791,774658068,456072767,127274676,724416560,321422816,610113746,56306914,620009733,749358889,254355898,264518737,640805670,76008684,456012169,855039523,442214833,538520294,156298306,279565961,967876927,32674137,529176814,204029607,975609975,896954772,818089070,335820263,702295037,502900714,265050843,530310505,664159700,495208196,133522091,167128728,951711767,278564631,71253052,41028593,956391277,905302486,929532217,434574728,91171336,713326744,371506685,58076832,325881827,539146852,631525415,398082841,769095414,719769996,809861637,611054037,57613323,261245203,540649686,236733429,513086343,806717299,840775644,575476850,601943811,896680266,99017412,578641053,829169515,847015214,55908740,376583650,980542689,181390577,859986197,603750545,820690187,112672210,59493889,575559677,518009530,549255776,474524751,963692666,711136996,795026360,457209894,77326721,369703366,506061066,815841084,566363680,865130317,148079996,124881135,870399768,401930936,848114597,732807637,17927393,257996806,264398390,511061802,201163752,371791751,651054853,77410948,259732365,978756730,190138255,193081586,309095450,662205784,615528682,531271872,5483725,476634902,511194148,268097839,736144998,164214560,562677792,744956597,95504510,856417102,887353596,720262100,7101052,931410837,689192376,873118600,289035009,572369519,573196592,502578508,735678857,180278090,292857590,460098863,284382440,252357516,705435254,162847964,78993972,77126617,461958120,519900658,639592151,277380959,527664356,37969883,610384187,413777241,939805343,180042752,181122547,998775649,254741866,676201257,767889369,705955164,226095289,90322618,695258205,644011525,59712963,113469249,606590453,501458370,963041882,271876898,378416906,921264282,282573482,827427078,73439649,701127856,874855383,590961220,149075962,108630392,608641256,980325616,704314176,425246883,939090032,168376682,597197365,178991549,628886170,343596401,126337709,7554571,112589084,359007918,246062491,862866068,114089506,35421084,595876665,924477932,214871049,255342658,39999061,814415810,295511812,265017874,725436780,427021105,139580018,483380461,81139115,549073676,382012034,921445713,661407367,902102304,591976665,362790181,179734096,121300279,966108470,841593118,153523298,976621106,693716854,276118911,526954575,347892488,134651309,20416077,437878487,785804111,756146831,124836582,96705858,494595338,194702129,775107815,226316839,215730521,664039810,861353363,183041380,912173215,34879296,892273486,282400367,517723204,42605110,276057963,548542528,374633107,978742692,195514101,330197273,573749270,125368457,396715888,725550057,736915551,994267569,483756828,477596342,479444396,40486610,292056139,721502610,517608918,682820634,471078031,631036730,840823854,352702906,59526453,14545521,302520091,174521734,452009463,977065192,743564918,499026713,460275772,972286054,603679568,736793751,489242143,307450185,955919945,320139247,908186758,404584874,522759903,248479111,793561280,143893372,594433061,946316841,253289561,736846032,442935635,62058915,498949640,127907058,697112436,809093559,497834387,984408426,600948562,192023813,202233679,192921193,406215458,480617311,455073941,45605782,780842075,164715106,841010608,861443493,316857479,366216857,809527122,11470977,730411431,970280338,266301363,263241352,873537252,6077464,983727980,521156667,231978387,105692871,706180450,695777432,189319175,861750585,16352268,497474279,258577967,578037511,710213063,205769460,334414012,255845719,918882547,816769047,709325505,797952467,533798067,731811428,255935108,249723484,793757932,677682358,358832579,274966374,94727662,382865002,69803861,666826737,54272767,537198865,233173019,595428530,592013288,226278179,581275474,746732190,781592446,817827649,368060376,650567824,847504534,51738770,94597894,637981032,694493056,422959088,460599721,157215362,672275103,983928719,943706205,69591292,952986554,372214911,911774341,995092635,117802691,141725951,891298644,234637300,926751332,414698587,843349266,382262656,866782419,55889861,517910798,941426939,203009710,456957282,251244144,784114946,247350462,128720747,679408113,755255895,644340526,560691636,89584655,33871593,973209354,835296607,642305236,425250749,954190097,33952287,471328863,702950817,107855375,890293587,639385460,333957130,771289246,471681815,533086663,119987395,683817348,219217039,748668964,995212213,208403339,156855171,576549959,238744229,920795341,351159002,813739772,985078560,438343227,603562276,934070811,420400527,774930695,758798996,851545351,48928959,997376116,606403486,256516825,68850457,354788115,471515700,426292710,884616058,119917684,784698588,301726768,349335280,398638442,655375503,903944328,669734964,250037089,911777200,639332410,551410025,791667505,603998633,78239619,209128864,655831219,5043918,304957607,550534882,576670288,888484262,799119897,210937734,160027237,223239315,508435028,771802922,401115999,328444905,437817055,560049792,461768353,451492661,379788286,811216722,670740185,279005274,80182467,627159416,859393261,424865080,652014790,93659125,149769258,356105623,548495026,814155731,760595503,111058190,110655435,607424794,460530526,887888937,120172909,419419781,135671669,975010152,168875433,492806129,377242073,740309765,804749648,207632229,389707995,532845444,277803518,176432029,49836901,698787384,747108481,895496364,304798001,134586559,274990157,479681769,632605384,258587637,973626290,124429481,893130965,454248526,284590651,571581398,824288374,410763591,828535513,202505648,727415352,169719909,227253972,501754114,987357642,477823866,468272496,518544315,410954317,47537949,533792240,436697554,818805982,453136928,598579543,494105029,600796109,972457429,293862581,747560030,888382886,458566653,258874668,456627482,375014693,324096660,633836940,440434490,868729782,302243493,139908389,576203677,647551244,522393231,895388027,345256188,23417286,489928795,817085884,746545209,654329433,770638836,808020201,927038168,215487305,579717611,607039030,575417823,227622358,303900789,769375927,971496213,289770230,436033357,518817680,509825334,651660491,728373804,666374795,393888885,872659877,974071296,691766445,575175949,429804200,232455844,801897623,117256747,842636587,175690347,557679644,189052079,552962276,524062649,97889546,902449314,301032276,486948332,90955054,869183447,788815559,730854370,400592285,216540251,709043204,930072590,156780989,29576710,230575816,146602223,364797828,814884376,797309327,237629030,293477716,360775756,63665792,873142416,389826062,960679113,256301651,508840116,708479237,273061405,771145108,159355675,499448954,243573910,607861145,645973778,231783828,141515968,776087307,266841542,300112388,814061483,813729892,383286466,769370420,377014219,260208484,957069003,766118946,991633449,680644149,782789191,652053257,296783991,234416091,809458434,711416567,85425245,483271535,978388468,714571462,760554747,805069905,5606514,89244345,82346900,637028448,722314143,982816547,99803234,44622874,194500949,928970600,293292358,550093273,250007047,928237002,756671694,534300462,32646962,838939734,712556580,613508750,94874004,487271893,990167259,102121266,826956466,472115392,227764930,59550664,374949125,141692069,906150732,36267737,835630387,285807370,835300667,827126375,173469168,307528119,113234152,800552292,942300485,56669459,591643316,531187705,805442367,844302203,224892316,349930384,775314954,454643684,608521508,778942650,776476991,938214193,744290280,604862014,547109464,898406584,393518465,995087164,663268465,262112309,363754020,477473771,398464182,720396620,851560091,271692803,573013419,470149433,680655532,104818721,164364568,573771236,897132771,748505643,368798699,377892031,567130,55859335,692738346,584314050,876595508,108783381,387271084,982932212,892641066,201987154,397295112,753755474,305483726,364343177,545186164,548266634,976890532,962690011,118804492,448126614,944830570,56547954,337604248,956231830,660089070,384869801,477971664,95318411,164393552,869821784,925108665,359903576,4849009,754045892,227184540,836495952,805809058,4679196,464770701,730079138,895019447,81199570,244273753,83659996,840433872,314829498,169279104,395576775,989592780,687782566,520648062,268744013,46448012,931745978,90221225,525028094,774970259,843835828,693364703,820224577,596913921,522466403,439020277,180925344,626438788,863946873,84505559,358539491,267999778,450362962,237317920,546261134,645033897,388325504,34205937,810267591,798891251,778468690,715785097,888035575,914325868,427653155,780911249,637458334,293346522,930873792,679875871,275977736,629010489,368049440,495598221,122370223,358307834,112971499,643379955,50679170,116665544,661946540,50229316,573484163,415394339,336993480,365511242,16035553,718892172,488897489,109822658,545258157,147854984,178387432,930568030,159055667,253487834,750616009,757846358,257208663,934419161,689767548,483186660,722185861,585310325,126315604,2583880,359631844,186682051,718202108,980012495,766486654,387306634,911209278,735544321,320820227,208071328,704275644,398507040,40411739,263186021,946349834,330641455,290916211,689824446,754870696,341722598,146037384,546654725,366997915,502349425,568407446,284980915,143880057,934685262,705491185,141487753,321186801,266271454,185181335,857189647,560755103,127699290,238950430,952635620,968198655,302041780,291592258,64530486,576218945,449676918,137280061,657165710,662865107,637538543,459906301,759821104,315543270,587318215,333820907,713500128,910901919,449244971,293674973,705383583,265175961,36118566,199134601,422561856,660621343,718166710,860952834,868949805,491702025,621053336,584301808,315615171,111695361,344729624,314257027,141652065,18646987,912206868,967684290,297802971,17181104,68474486,580122736,5969378,521906999,677061894,421987951,903303563,137235517,165624820,464948645,166895181,943939806,834673676,948286049,17758899,532942141,312576708,508548860,991803699,606036366,862857769,142758377,646305224,296620679,9500210,622921512,758453611,965289795,834533157,361979435,542251335,630634504,890822267,165983170,583346324,855938726,733250840,753983179,488741817,593290547,825117013,593738708,517456207,146427374,728712280,863558124,352348641,385656737,551001005,438611489,922188678,123121348,282342986,342538182,215668537,101223111,945671168,164490157,737381402,251465805,624666322,964714615,362587115,585722448,789016579,916401902,184415571,42043198,400959678,190056902,515590997,714641854,863817663,137922231,644552466,427273246,75534268,655846160,622726664,972001775,226570986,264525915,787612814,182478617,438748550,516735491,879927395,788557710,804793328,45798591,267188480,294993046,708936586,891149355,780225822,366454319,645568883,481469336,742061754,759101867,353758339,960252966,52443770,652418954,461299219,339018950,498385635,660473693,375019357,517510871,577584317,321504794,821546748,222442344,322733018,541437927,997940056,190125245,994650878,183480572,252822170,212988660,659723836,660076136,563708746,716546319,560616528,552352722,293873851,872432692,859324936,377847974,931864878,607892107,176540761,452427134,51293411,508209391,98668425,83779691,317840737,708736647,982351450,610395582,917950956,769592638,485224719,226449750,227559115,509630142,961868940,694963042,720780348,480890342,630699963,210700043,428792767,194280778,562631381,913921988,173082321,926120386,29632022,635579872,52068516,54965636,182816115,541031348,525016971,102128987,148062078,123179108,473539399,27869688,855085227,479247596,734783130,737145052,210784858,904167620,412422412,106903888,345246844,976783385,900389199,859028698,961420601,854734922,859690130,772586926,69001700,30639881,653668664,657206039,44443131,741944224,921055394,112715683,834456051,657287390,1030658,391822988,505533534,327761673,989395665,816649256,296678881,614965122,455946144,523614012,449460252,104496629,348140360,283946882,736151536,466554474,368246523,587883870,136153616,797453832,319435921,596073109,989242815,919164101,775163847,383667661,381073960,370477531,287393946,370492750,559398844,339245000,858643741,497028477,64836380,279140607,47796429,504027632,990135795,621238694,850632490,937715798,838669212,767588179,95325395,570296361,811002509,178258960,259017281,725171311,422049758,848676516,514078262,606801302,595768936,609926199,615626472,587892303,456765476,115902432,843189920,552435087,13990796,199540635,92207234,569923587,132524807,327829504,356239049,969722812,626877747,500975107,816065654,364273931,546770134,942002419,330951136,605083591,657612912,734665795,204218708,245721612,287327962,535510252,530058540,166694063,735748306,816830816,524906400,334980804,550643022,41789410,702410642,48230091,954255156,465149796,167643298,52438898,190867379,410780391,731599185,4090987,560010343,90027553,743166011,574749040,34055007,470931080,622407903,640747350,993308285,887609471,599434895,973691677,394642226,48590054,865284653,774751435,440313776,574652083,108370211,398026364,724495658,469573485,799251033,505507372,156655341,892118705,57668409,420791399,131473314,946664708,240247861,816019097,353183837,821950715,288132308,71470263,947224665,512004800,209325625,732840130,897771831,750002142,800261464,66155885,218811119,742841669,957339326,44007707,996528305,820915345,737741325,137834248,733127788,808904015,442408401,362150040,278050636,607110708,339149538,309745923,348145844,893260856,986886650,301631738,460686593,361080017,449552964,882513151,455196565,661645634,756748966,290731437,514858960,300104694,323475811,553196688,584041730,193205293,965926351,814857170,699872286,437647557,402690916,694086813,107793168,895173665,433048522,474078035,973636183,229390083,492427246,590684709,483698619,2940872,959885270,566203366,330891852,637761937,883882686,486972064,81865364,568491113,925870821,87567649,454589664,154114431,73040788,180454152,927251905,897183620,834516102,220089923,766477533,369094913,548405457,953417908,506514986,322681457,290704619,284344000,616508682,392277935,125020264,371732499,386665706,486053502,513920805,739873022,949758922,727035544,103583570,781045231,153547052,848798218,672111278,646637583,71495993,715327297,994571871,271547140,469756028,913229707,966210041,424682353,678531305,700147971,757377165,218249312,44967346,216718328,616834613,181268831,694039728,520468977,78929261,853274255,768767094,454187051,986193840,32884857,980076344,115443135,487807666,812450272,565501521,605597612,751533555,137399182,244259858,435047161,10334748,587368167,92590756,529758255,140794966,581810281,86799375,942139969,913997089,38282758,598810991,601484062,456250421,568408096,67309113,338233663,855831951,351425551,217983886,835249893,668740987,437989023,503911336,24796162,885742192,79565977,332874901,825458177,843138969,864621720,249434941,405504075,641360433,556431557,143843593,47154079,777801356,689022128,963975553,327329945,200992624,491024909,727536872,728000602,61106224,511853470,881791636,195433727,393674581,543638065,493004211,161704992,127743858,667176728,524707177,807156591,235309762,963136467,988589347,852876491,701177983,177596229,117703927,419263978,746070350,558270435,536163174,87589174,981426978,49455715,986877700,88223199,83738671,199659149,106733555,582417773,594415209,760784600,103284846,864235389,207237794,217923570,821983783,134546820,353129739,929882432,690300989,324719993,328883082,13746328,471165318,287086367,513691746,437530423,587845894,284308926,966066322,279064725,491572914,390063670,532650211,236612416,245926934,18340177,877228155,76934445,494436288,680976578,12045170,173397696,599143851,361072550,100743272,332276997,955747935,136017041,300299861,714948254,263586685,341215577,957250478,876913290,432466953,728975655,267820788,499963870,134998110,712361844,199045113,298604341,730764857,260533569,119526652,879167998,916434306,942193301,558615004,606366914,366418056,890078634,713417995,552822429,655676002,414804518,37102261,369111888,474967573,447660312,214142129,696735527,814375121,927811638,354498746,758779660,639832378,303915138,495413469,574847282,167424056,71214294,500414700,777006835,243300839,935847888,145730481,172734650,39017296,876666152,746332723,806658767,896997163,838460812,103416099,383415651,893213433,55047005,532995547,204287553,277781145,706176394,773751978,64899558,949394114,508809501,854448001,813963175,922797266,241783520,235590469,226800975,52547638,123917812,579284143,958690193,88371153,10417644,891180239,788320487,890974927,345617698,59420416,902090029,846792897,684971278,922078133,547383795,445917752,383384050,38741254,457076274,331404732,935438575,708507382,436637561,483930891,996695440,843728261,705667485,335045334,277682081,283894858,621651814,90449228,594675746,934180408,755819595,573511866,686671126,260020919,749034870,46080191,342769672,313267974,602768265,536958821,907927067,931328295,184142026,338972824,859754790,437933188,454211339,343944979,592958888,519850967,827699978,258783432,138189220,896654221,226745110,751668198,820266906,512154911,531086970,694348865,457217139,415801097,154851079,271496429,721467028,4009457,285929886,26459165,621466951,361878799,960729774,570912474,984679741,656832130,855256996,268645139,822596348,797811791,834906976,22578204,53869663,929741575,866605515,298103852,185531472,519375508,28853711,918443336,561466670,67166864,18280984,279212417,850917127,701814014,344982817,381320196,709213328,329661992,105559151,671830958,387113613,437747026,285524025,839862668,134624770,337700827,618648328,718834909,742766986,826440392,700345807,360644947,500509514,82218480,487670122,646434478,330708869,482586566,959210168,319201610,216214230,989266089,539759718,73225226,904608781,866799379,982850385,134457606,459327325,989462680,587659454,975494678,761459927,187016454,946111401,888821243,124123082,333148722,104195231,319684656,790507598,792222779,717337095,506269311,864851969,240788519,248653387,308504051,65070303,541504558,10030380,476479826,836841388,576749791,876593120,775082017,435743404,347455387,765316989,662251847,638101005,732563578,985339678,289011452,683567993,346918044,85472402,304323264,556148718,261055790,656122327,62706042,91778777,89311981,532971522,350745306,562950254,957395778,586990738,274543776,568769397,939922962,110094579,484172321,521629636,523533664,900927463,612231754,947982486,631866042,855837424,781869579,926943017,430937806,182545105,390563727,801778313,94278497,255079206,645648150,371267391,401440945,789881304,904538395,978648759,990284689,950426428,785255009,662086654,356533504,816800111,749733249,377640738,583049345,165559349,512788269,95181556,555190553,541981978,764062927,220477404,830984271,901802749,812692925,731530637,219482532,547309746,869905491,514100743,545493654,452629557,817790865,936076829,491292902,912749961,407805157,36386195,634525154,900165276,289208890,341986719,839976105,338336278,297141907,620442273,350442992,711428948,421093578,211296844,993958731,386197124,229721091,870541834,332399425,252391390,397901505,491570309,141325682,324660688,427818217,944224535,290502497,480229494,682790976,948717696,970937663,843713231,343634305,5289188,680320070,842424097,680023642,10553223,480858303,387690537,406301966,974946471,474699655,631179737,443653760,412774966,942368672,93078662,408506990,90303341,823637012,444094614,376478343,191211624,766028162,758443546,633946261,732763867,914969982,170254950,875670581,259407377,197005524,924732459,331465040,174585452,850187929,642583851,190937653,327617814,351644234,350665663,18012520,665629414,157141786,837570430,320589151,768447714,654726747,659985400,969972419,143478692,387313909,74102244,250553629,824714692,94352337,560146761,125585848,264731637,712491885,362919678,639941958,646865384,702063458,426980542,275757228,263347417,111922005,36370637,70274384,505487588,184694926,116826758,81259008,473865152,258407673,5239706,847230732,750640496,163802180,223292447,139649048,597209009,305186999,596195655,877281499,173670745,386262522,489809994,169463312,320209396,548250984,802833698,779547182,579746694,656897970,253046105,797987449,389632532,753389466,880779712,318696169,325021236,773420027,203058257,18285210,19901511,390740257,703324244,287869108,880281290,220847063,116761709,676247381,35267507,412246804,662230323,853546490,979663972,959307920,898348754,210591657,540311085,300080766,98414606,33718052,987350769,64379484,94802310,44792219,439206017,803898137,80201635,327216841,954220684,361994331,273451076,398153703,363469629,935566376,528525645,300682946,454776975,874358242,515452753,547372499,119880058,743023054,851929797,241543307,487342339,599609882,721813957,743872900,130909806,196625989,932199440,973402166,795950025,398277281,475101519,220365916,629779594,502544780,727353428,571292659,452911958,723210497,318772155,793792894,90698849,904067235,633700388,229857094,790302448,51959922,113667129,366229834,428985913,587736299,559694602,129763549,788423154,134739344,670897303,402328038,41038782,895008532,531630217,788457079,353247597,855693687,161664222,588557248,800105051,763901120,636603771,492370667,863953769,335958112,278297477,723068632,845380677,995931973,401432027,86743051,825539280,532144523,715947996,880407972,793180015,186842235,848652786,584601132,322690467,897821662,46844859,870853527,962934256,491457563,335664587,978439816,124712548,460203135,964682432,69428616,554256346,663348144,263224793,970321471,626841717,585433770,867858890,22867142,817135209,668438505,754678274,178124003,612963047,699839953,149343915,2518386,629752686,142109997,287071359,732610742,328078194,87813798,74292482,648297702,860151823,578530718,599386602,210364557,167760569,192996258,990574342,267310927,627839069,192542214,311783652,970970736,916418145,974361422,240867096,705843110,42918927,260834697,454697697,355405484,479460147,479465952,762583144,313215430,415599026,29636153,410040115,454026692,177740335,385167316,10701418,860944331,29594624,849179549,5234398,140915240,293235470,752662454,546863896,300856168,901638585,680570223,22436454,180438563,231338089,945230831,622349329,272079581,623943469,192328261,390626461,242140403,37537807,483507012,630631593,176694346,510422597,91909954,186974170,167659547,290908763,710501960,40668161,393446215,309267020,478887059,203148881,442601084,215339550,698978993,653260703,566072046,240084403,110051077,12800240,4313193,883806191,648022827,199239797,703856470,211180792,831715398,609687999,579557894,665258180,209104273,250260460,406868379,622512573,848343546,10994522,203190025,657919345,80644087,965552206,220424094,884065657,106842894,246052984,287824943,341755742,748926733,131683691,559359465,143657816,727286521,438985687,685059618,523712231,54444965,268061549,669189596,919948475,10925329,579635523,666178541,527492162,828532198,43945238,756208569,94941958,237156632,434187287,183572812,587996323,222888155,723877676,206736677,54940178,986580153,481470471,774174917,24999926,762946222,399281064,149479316,639259336,111127657,440673702,624913127,447901006,444190377,281796848,826093934,896304359,367430493,50131456,611594935,927991976,435385715,201497913,351436582,421448861,487440495,679839673,393678096,438704551,381325508,287169722,237903995,595222517,310172320,552771229,330909376,88650017,172490692,41399368,439594118,535301850,356431300,400705498,873822525,922210872,759218545,438576294,888340185,181079470,460967033,588974543,133818731,960904505,166002680,694292641,73554581,471365694,587603773,104766887,329834426,345651442,121478764,616859833,358149204,929207717,848664033,80379821,698719520,435980760,241682195,480644775,99954636,571424101,189841044,783806869,780927512,485914986,871856020,562602171,727557040,300823292,128994397,942660645,696814648,776446798,394806849,699966813,870273618,253405396,61526336,847171887,317939955,807189858,326213245,935265200,136477125,615984552,558988609,825904843,996989454,166345195,338763009,774860209,470599328,736143068,456125161,190721065,642756197,648538105,769103356,941656308,775923173,638351277,41068850,754832028,489884274,611748130,422911874,157604088,760804465,446420275,629336200,410630443,5265606,929240986,72875215,501287494,415588899,891179687,821601673,488123556,890322956,192782033,986138890,954064636,637713465,229730569,643012900,83715858,934535652,229679791,231405231,834837539,650892426,826041207,480133028,94085576,630623008,584342159,281838339,704775720,427620282,170858497,391476850,448879500,582546058,383978145,968746288,433654178,716129917,710758093,58530496,357952895,708577626,794201013,293295188,734214003,6982465,779040325,406734072,839745480,76710636,36719612,736817796,157971575,753570076,721525527,938872220,235491071,311900255,992637244,571911982,831519387,703174812,526163873,460787023,661670129,63337743,868632562,877521026,684096410,955394432,435616721,438442308,265485524,312779316,216382548,847323780,619004355,728448408,877960851,687995767,314530507,744533234,350580413,568958864,211959544,506924665,781093571,825444681,651590644,155166099,660855920,945833256,427493200,931789237,9990374,927504813,169759111,653739003,227274636,589835541,211097203,800195886,123370551,206571626,861813933,458018878,335361380,942942077,913315986,222762739,734169259,404032353,296161952,453563930,571301492,277768389,292913668,852379827,347178776,992846086,871177359,282076557,112018226,784279879,316897027,364259228,339200620,645757912,491593549,454667804,950191275,524797093,921106395,578182586,916698224,505061888,484948266,159557474,171812207,778384706,804760988,94741258,152653137,35544750,877025065,588580548,451725442,789546873,818574586,88321255,71441800,404960023,624030855,847884267,641623047,742208344,612975423,364270633,437080854,487175359,401274220,612376426,853995062,797862558,764201968,27297369,82215489,100297733,844447871,360720329,490222650,505051968,436602253,317332571,730757435,106997514,362527989,623750056,803900527,995381898,600104756,121512467,993724939,102976123,787292490,148233709,239475988,671264854,415489565,605253474,447857891,2219245,656880787,742089881,305152293,931320391,849585608,916043366,186969269,874305529,440293359,890459180,732586442,430762872,249858324,133568971,572187431,649502665,411459312,993656390,91453112,196036183,195021753,999031859,409583625,476358163,672179547,175016017,825731741,607640606,781859762,259518930,957912271,635781340,536115403,737063649,355202725,552974103,197846915,408639680,120653890,614131033,666669878,246916045,835700614,331865146,41452484,97229661,169412140,632170769,119358299,577269592,125163135,368206421,858515173,455716278,590917187,518749759,283957093,123141767,40546500,304286877,354266919,513167071,910515800,218199673,51812111,797831708,668681237,507456199,304157501,672445030,388903091,876963024,282505389,17306740,90601224,553276131,588707280,796014994,291358826,124275162,195583900,792895389,778778076,856157008,140180858,712167216,422467075,29575986,226478964,707512522,121071829,324921564,326022464,410002625,233893416,984911980,541364462,408798011,372542713,198625437,869472544,574528281,463549977,196436049,13053924,862776254,663683181,551082289,434136458,340811886,896518822,505177015,582653457,54714846,740133752,572002112,578033377,959956795,715140026,797708350,441501270,937197653,945043904,105096007,640128986,618344780,318934313,712810752,902923108,932096298,554269433,865429996,235005481,776740271,62876935,876416443,844435101,246980822,820773320,4620981,686414928,673693099,262449609,513164825,17788565,159086684,912339533,331844657,136453624,972860832,970171661,711536695,569394284,639149926,366089639,704674177,189206381,695020019,80283969,718652073,169592022,136939901,903509771,944364138,364220656,517418405,563484263,415108693,188173487,654527894,913405866,341834987,257760674,485821812,989932748,374023615,4641799,469158805,198445864,616872619,109805196,85266588,491323228,631471846,178143869,328665617,994070327,363748716,893046339,653958976,888271743,162903301,505628034,23148659,672970526,914903164,444624047,754132264,350271105,336374455,567935516,56379500,867165002,982734861,687442667,128513546,396125699,419058188,288209085,552515526,64488965,56408182,513964508,441504167,929609672,460875866,98412256,72048688,80146100,486688281,944996192,548593993,148450290,762900984,520596545,847476239,901228027,361605943,649795019,44956546,494938176,727471104,401438214,12000439,693479624,618424712,189414454,316462351,561281076,445222715,389718447,563726196,305990171,666399949,281473508,257517755,868143122,76126897,388884355,565852030,982815755,697803217,386020416,482960902,36003782,177782706,639360955,343461607,407237584,744811379,377510793,971985250,123845867,628346871,317870596,15324772,622652538,767579850,836703909,274243607,245257216,346080411,554386104,173661955,469167672,672775979,805022944,738033083,953606753,420932286,387642314,312927301,544727408,677043093,235066183,765563299,737959455,323829187,649197178,466591243,354684893,769553783,600169867,126015878,912578930,908448537,751443548,64782758,869749742,945858965,927700649,195417241,366765425,218342135,271039684,988678915,808789847,521403260,270890023,45653107,143862138,2223705,596645047,704579293,426645733,748929343,963907799,333849739,628385925,871798299,10802346,389788457,304733795,85386247,263954563,543076917,987186194,499994550,396429660,327317655,750758453,122170907,15579994,663173401,624726230,441148491,309302989,999118031,410370784,908356982,141303645,618170149,472317022,241883167,238371076,664974564,53394948,678061832,303351365,868060461,992565092,990392471,458046846,502966270,449705735,116401463,205136196,87634324,85746580,262474018,420448325,186333339,932982329,189084422,410594036,995620004,446982214,671093834,248201801,709997569,914882005,173031135,104211755,968777932,706525446,914254777,500037702,945603186,246160970,426090379,93810342,873721661,47608883,350073684,930391855,20505484,473521925,741943777,700577479,545082122,500067972,809122877,258519285,277282432,634388242,688136919,834570421,324274899,683315881,529665461,164396073,872361966,848847433,117964072,964087346,6899392,499559785,217669223,215925404,208045659,788310054,259989686,412815360,357681939,46173613,543224374,601563008,481129250,625777457,412273193,730681536,129564105,540955803,391248158,402025095,870994251,650941623,163531677,281581809,290497373,311039079,835997147,170688431,707937918,975415534,609505352,334976265,659500722,303188853,980736628,659075906,533836218,343177901,98318384,29366025,247807382,227862183,894981439,722697201,862061563,333672420,255789005,202304538,716984184,917089510,970320277,340191772,9221698,395303667,238814321,400895588,153179670,44852915,300914801,878528211,751439950,576239034,255276143,426038180,90277775,189104000,772565113,602143145,870039125,806241687,204959118,327833340,316039021,582681407,69222034,126184959,726011407,462559737,749454813,601329495,849012599,213151497,339217013,219432479,452840227,273729228,215765975,806934334,165620550,995282090,211246093,888354728,6314430,248618352,366566245,793337195,52818036,353684178,256898721,493666787,962005155,964203500,424335749,213384055,842343703,599819385,843686374,905293137,438930397,173981573,816728314,553505623,609857487,9373195,678019312,443295117,972061987,607068663,632822529,923355218,101761235,707947968,319813941,356328224,758940588,298577398,42554416,70977550,206655519,85060775,698921138,736883120,300404492,640758591,935624221,242395287,509990769,988352101,467405319,459580032,869053075,570534108,784340416,670684445,539659082,475511678,509162982,382617474,720372936,45237078,655872761,321353419,856388953,121261650,281719366,913421592,445751827,704589003,704893128,198001747,854779597,420549944,558896949,676240151,759183957,408359777,493508520,652275421,560410837,354750505,349537617,746395884,405735943,358007310,809616048,781039384,371834993,104198767,276952338,307088821,643719698,990618857,13404953,237596345,618047007,775319289,492430457,667772680,51952437,41940865,613111346,797733445,824155293,403664499,870427361,706160105,437981903,504964852,793568105,48220953,655736424,146570431,37611569,679866402,537860034,633952930,209877715,40122823,553518087,286909798,360305566,421094346,694207326,379985769,573202393,226161456,315233143,988108041,548209397,975066640,741539074,638668207,770160410,704087737,341088682,755534729,351084881,910818124,989363984,511395510,772943715,142603367,376859575,777928205,275029436,418653835,449371080,983764714,839116801,84977498,477225707,630693092,687758641,600086242,749925715,408908055,859463460,661466904,756192716,251661025,455407480,44603931,469177257,522875425,131387051,905989876,98735798,297200979,138846101,791910679,635195396,618467862,659032500,682024102,655550778,283108417,903365827,841128239,348472609,529208124,322164728,670395204,553672228,485415686,309463065,684138469,304083844,357908813,440162540,315642098,840253232,532892884,220502344,32129853,347925003,660605797,225671013,953747600,48084179,558482137,809720028,685628676,639427498,368961935,272128877,712878510,914862654,254974920,90279966,486249988,324486576,826839267,384048111,739076839,268255474,273089648,509276447,669143066,644293557,26528681,979578124,78928151,938023182,416832254,480230870,286163681,295090170,70052976,138096066,707369237,369900852,678899437,375011183,842278746,375350647,803268912,490289085,840446510,537227573,892654654,679585417,928546065,734571632,53454473,977385674,847303289,448190564,443681451,640187208,53720483,925473810,250658583,349474254,990140522,86543711,369411292,144457984,18534454,706889420,794610970,613541931,730556536,96983702,588349004,630819828,336347364,706249525,966613524,923984923,341804860,372292108,845598165,84123764,208309347,441774473,525912301,315908844,194132762,788475820,835167295,566153430,751721252,401229852,674713168,532353523,77632469,642557144,222474304,936269133,980620551,428307693,972912007,434124545,265569450,754071354,821013607,923385224,706930216,537089345,527131211,277860063,779030207,760311775,167664254,109406896,147530909,965998493,11295779,497098950,198023184,976790327,448091509,427427718,481363051,971733020,36128915,923120129,333721952,88035446,827914485,988179635,526726868,162618037,60619333,274347793,765853082,980816181,953568509,739845515,434251687,769931181,39899148,123869212,158292324,795439280,172082555,655787536,977857732,661113074,139451207,160621216,759148103,51555999,831377257,774586618,649162478,459557982,859284046,188717713,421510700,959386814,95176103,832818623,912112832,653614000,89638957,320014180,66912471,181249885,808898497,673604638,872298954,563251025,339852237,231947272,695479339,155377417,423938064,397378734,32410785,179375849,240760980,359999192,287216312,391948864,820452175,82233407,774568344,337526289,173192770,300828867,287944772,871122680,638649166,196554392,695956301,54999484,917518491,937567211,545716316,138619194,835584064,547288387,708059858,280742541,913433716,183716089,981078052,8726152,750967409,613587558,710076379,294691857,396767116,913506449,931136742,413229884,908515463,723621303,112543123,720887516,777241552,255030118,571185080,945038867,637128357,102206429,603926348,718045150,305591271,225068308,361513931,707512826,288938289,269116324,210215062,866133350,493797150,648616850,346734378,279473116,370279094,666118751,482956918,49970649,355750819,448616034,16732616,785118237,193036058,78500326,318233721,442330201,897897564,418727528,351401602,128021743,64190729,635752529,599070910,925561284,191306219,37824320,678072264,449659270,212555109,372162533,145678700,370293600,408850479,176344194,642277157,246278045,504680212,29008655,331939794,309837337,331580007,129809303,175480622,799266310,100553564,670870403,895525316,331632601,763724207,246754761,538553245,501153882,62562321,440716443,272156734,170558858,706141076,580089238,658682815,96117443,417807388,113519183,639368537,400065919,657113965,918310729,662876057,174769053,335543604,975822381,109218837,573834470,574128206,890693728,321181888,251494245,662150082,895869625,537108936,941137,254314158,17265292,63202366,171516380,278945492,600799293,971190456,577436146,60436479,403952264,433851903,920206922,553285288,767838428,105254329,496287479,756037158,119405828,179922544,715310173,303679971,914766439,145281561,259997846,365532491,528671550,553135392,918293895,270358388,36322026,299934422,138299178,95741312,87205708,177431674,86615803,757453380,337341203,600489337,934348391,289474459,348968837,408591207,659040188,759517995,27200229,608850193,614423387,563721594,377731843,54650509,48666057,602552420,655233191,712757251,542918264,327288039,417929882,511761726,746693635,650671534,360821194,458627735,647704766,545536912,811702407,739227086,252864723,530843864,308515308,394990324,39051726,615455843,878943541,779435411,182169202,29296817,678915540,155426868,484415306,477515057,794511607,230518268,539756100,50760132,539541287,318722917,162780350,621766503,994503625,794215500,876962645,178698996,379993525,440274795,971871029,161818793,891477292,64229491,926036098,485339354,987310144,78657991,301273978,51511457,493394108,222501433,859054619,865818727,796461111,230461315,24656447,924645322,406590413,724435932,199653864,876886723,189394896,377978395,639762163,415206018,366203807,115857552,730458041,417002505,641566156,573077463,661341281,311057921,568529171,247714875,829162231,868271220,637545156,978885695,468870551,691210915,371624664,205240478,243307141,738556000,75770446,240541962,879152038,288829374,297755714,731086592,647020745,269814587,281341075,177287469,397225143,843875584,10720423,548349103,281657632,822684418,256633901,329054124,860632519,305183857,211226059,588908107,576566499,795428791,74045673,442064211,985937886,257301628,867277608,506150149,627232805,140575824,821354131,415763872,551012563,830602779,954656899,235717231,115698213,276987141,28463431,432763895,455648027,592791943,795943793,447882805,299701804,284635031,95399554,432693706,499240800,268042594,377812909,448726957,812917528,55268715,406813457,783379732,110299831,608777105,325820356,575875663,345383077,268581643,664134519,891704432,33588181,237555799,823352862,560579208,634136911,832456612,777484516,623750032,980393779,534540352,469635270,670771446,989058021,583251232,231860007,704645071,75667327,700877508,220784493,773207189,401817434,973950758,276981912,219804796,112541903,386676357,390965775,737358837,675651234,596160544,545488026,876472650,31148164,288604889,588094112,522178373,971671429,792141597,731708545,890402478,599162114,836535653,835303135,345310767,284020826,285725989,180624172,518100188,400670717,562634997,133400078,662057787,655093699,441965273,603214694,783210713,854600952,883285386,90471009,871603144,705717285,791150727,3046974,992291954,265339517,402100166,932778872,41246238,651855194,426351904,236570599,971421379,536086636,147164568,877060831,876520580,267314609,212163625,855789240,616502042,57403665,868403835,779942405,270147401,767938764,327881559,952840016,623046284,489995535,247398813,633183728,248132556,645407077,535234539,797636359,261955501,795292490,451685333,661892131,131261825,934279728,905389301,91513155,463540868,557540286,576933742,603506184,743236618,389084373,900174734,788849873,600455506,637167962,855976252,314336436,73901858,355118786,360679297,264843971,723716451,465264849,614440198,8096358,319401491,26104038,466391983,789727267,435801242,82770876,83636291,902081376,652624017,776981435,116612567,768340398,76492646,828593660,763965420,769137942,375499090,502552588,543774199,373939520,414108858,666831108,188107135,784329079,564860767,626931349,653167089,235765231,501561950,916465243,771524659,12586771,113777759,21263503,811295570,741767401,710077068,839310816,781958654,91298905,756030071,179056601,69998034,162957762,108200613,470434275,311020688,594344597,418713573,295379432,74544399,187008632,302760563,622632187,726639479,350021602,246163574,966848464,862177225,747589186,882943647,208776012,402184160,805215536,126566328,226522219,513898173,116197083,93171898,46258155,552968738,857948919,812688414,122715537,992167063,533610085,287067334,458451057,409664950,458995259,121350032,741277002,468946704,634824875,663046513,867876479,546301291,85185180,40867285,883414960,3714136,768428063,563849605,280506204,370946765,466410142,168186769,921913214,572887961,174863643,596714263,210325011,9314519,969848265,999190316,272949552,474298602,910844150,389317654,639001003,495298467,382589012,833518815,708703844,625882747,490432307,812633821,9355725,553171636,206480780,277619881,940418200,986787085,769223417,555267035,263714466,18784083,187764967,340602065,111172952,600182648,236056629,403758176,6144386,321550223,167502567,586585376,510156977,129408915,748975306,782386993,545988257,451500249,556751061,576151702,67989906,842288916,432719152,434932575,547799459,643638394,30359108,313732742,436563454,715188309,390227762,125483610,840889392,713598196,718623191,284770837,459232784,6557511,642673484,644168306,105717080,229526330,207630088,973362655,509717688,20598438,638317999,677818289,430927803,350762833,329803854,338066278,361398156,133980828,72386739,51123340,209686206,103462785,586955407,445620649,339816761,769570467,331079507,673857758,534167457,434754968,785512746,691381391,316124475,890403661,624806118,433850340,270985772,424775652,293791928,410905424,659030203,352651410,447467133,461743049,749679684,293590961,931961374,780784124,14744686,332098779,848370887,730433531,634018458,176443895,717365221,132830163,965733904,245620751,239615615,499717224,861886846,585036267,901274051,988881293,396710353,142791794,711665581,469665203,233223261,504139985,13549732,401900828,51899483,659574567,296934629,54341542,822628867,977900622,866425832,95322824,865375162,481653939,640118639,546398597,787928983,153116190,7890339,837179917,987190896,414857312,99048215,412199189,325786520,113690598,690333639,256139227,326538858,118944527,373799282,138736325,743864324,618894257,836107323,584632087,869429017,462105091,765486256,943478841,228974191,159794583,386726175,161282771,439775362,557110513,120091090,162756608,194978562,263978100,906477531,487002914,858595354,11128778,82920486,637605959,541478550,163990560,237506834,332675752,887570784,976714717,564615134,904860238,360354602,515896080,461277188,842390577,562564595,643536648,318532347,343164702,441369742,806963165,618022631,92791139,396493963,831252962,636315725,781073868,731243977,557316963,374673606,188685812,551200660,359299322,514257805,232447154,279581939,296811393,404543333,185298756,876534483,946020637,159756971,149591198,420356938,122235137,285046753,671542840,609831342,109655895,273289923,599499080,728468931,962494903,824209126,233753018,699428182,42945786,330547966,251344057,874310721,445373735,383110298,406768097,719931186,795631208,833844968,61006805,244420387,21449557,912478578,215426564,106813455,515950828,2914751,911035306,941425048,846413766,398897115,304163593,202396511,454698480,515150333,250383836,897226341,10849447,698882713,300622731,772958088,546566715,649691677,621512880,661107554,329290799,555593004,322134199,404818733,167399599,572535364,764061200,191726217,494304860,138671949,823697097,152084302,371449896,204396184,624766429,513129350,301193550,537867939,396124409,219588692,964205677,439517392,989598665,388522003,363776039,396065424,909649020,375066434,937359922,466873352,131928877,427319735,224029730,359036787,287850565,206977132,499497275,109630211,268732118,348934305,384331743,336334831,927902017,751100875,777044861,41026251,160033630,992028455,329441096,655503647,105077357,465940353,777933302,535127989,123262302,238540346,41676836,834099172,411935566,777467875,664107237,152717713,780407217,824242724,113402742,326455324,827948385,722854397,175427269,875393760,539888382,663175279,899490126,816901135,868826640,697839142,105986992,227499744,463038007,166642760,736744391,306030301,982998451,897274723,751874378,390424526,226205722,992788828,930803562,738755090,579960456,967630497,562230231,689477639,879085704,769267834,386301566,156146970,58161548,820243881,388321741,714461998,370600975,914368008,775198736,637285907,387537422,210325548,308849245,874114449,87864165,773758093,283365288,851800500,219209400,806983471,184858672,263149355,277866284,911673464,763529536,331472970,329848563,299489443,41792417,34674845,520203229,213954546,446582179,449432098,805394810,206893201,153337902,314547708,529079165,810036622,351330494,364306015,71887071,128022064,169803339,274423528,676652169,923073549,417507770,423557583,297500000,329529966,92409938,605648515,355671204,694658521,419762706,8140361,42342403,48714514,396745722,507775512,949782029,389710784,116665317,29726704,281007213,862273421,163223781,230871548,947006787,35813445,928151802,955752783,417285858,118097085,177195936,407388562,758458654,280070695,828471624,891060444,786882692,116006488,196584612,708963433,103098665,594208228,959428928,469535450,686679120,324234248,42345272,666503648,251706353,8303103,370749534,518276445,530350986,732725001,922222392,806082634,37313033,507794333,98053961,576909686,370556621,410459451,298117869,421638294,938882547,291332587,704790360,743728525,283216145,703844667,26723361,868505140,257916643,601849262,772205879,237754601,631392290,900153531,563649373,335047330,967887412,78730240,152661603,194184373,249971807,987245665,157084102,614498694,898201098,555881854,694702349,342823079,352577520,245082624,1581677,723390937,70142527,2065162,66099391,472867402,563477019,431419881,464260960,255367496,889304308,561298268,912480395,111708649,321759591,143364510,764953443,364724436,452339841,819084851,20560233,917783541,136279261,572393877,445768943,219875492,508269450,61087201,467232008,307179481,635087817,473653196,439386763,135486545,968300345,175020991,341381500,148472514,886093849,151509505,991979317,549998682,223982027,257940633,764216406,595741274,337091458,545549109,971069844,774378765,566959720,437960496,933240778,375813240,982487122,224582456,563632329,974633371,16350761,434038189,775509790,533381137,857928627,907987564,857762284,91439263,802654194,663807112,203541530,788653192,920691951,110271210,495419496,414206711,469728833,276947197,363590632,902926807,204036779,316264410,961761373,665282294,263956003,747042645,613558244,723708381,543111765,350451526,277092971,933093340,206628597,765961159,531754018,679670183,894414218,214658020,781429161,324586529,30982263,464632855,37337237,707732187,571986934,463613958,550929066,147642583,879554088,64120354,169812065,436756204,554519762,919843496,214172941,827320015,263110272,46001680,958207461,317565710,136140038,518002376,566216856,885493377,277158913,726506286,604307224,177720503,575687020,298910839,569287344,6659238,774805585,621951162,746694866,661661024,282117922,261971274,512721575,712351480,214715443,207749189,14825152,593548783,2440577,672450624,602174900,411391093,385722512,481697722,964379736,380398585,62368687,238353061,807525634,882599823,461025285,121590738,696666474,775549810,366426458,773153210,105223235,580615927,850827911,289779820,180025989,701674271,973238422,217052557,344211654,788131078,456776969,120546208,4151142,470571732,839087374,807882719,954480260,18901838,326160095,570848513,346037180,188165046,693004402,470944888,312719166,346392315,135724206,951402425,475471072,971887670,350734566,942689093,483432758,586784451,220372237,205203689,846656621,908139981,133123166,52212397,626581154,597576475,227222877,992451347,267048668,326846905,106528960,913826137,932982784,612674828,811130890,825721575,786295998,661449169,22884355,376430100,481655693,972878561,601704476,529260878,820013367,178932192,992813835,421272263,266647573,909722184,717026967,929731457,261160402,801633749,546189833,890026846,473377365,721438873,817172228,45095059,401162276,388027540,424299236,781860075,539161282,452183980,259740568,134696461,412831179,449129845,575514717,19778899,94524438,151891497,233349780,774585770,425401148,412720002,137410542,656650694,321942738,540637815,310440399,953630048,97047545,23056736,981220384,419147698,820246722,697279542,654153199,2948593,105720717,819028158,805043311,692173736,559607950,557970884,541729264,693975971,667336919,787096475,751413012,160022918,597968589,399188786,59675475,644482128,330593832,613232154,767553588,779473924,434196055,346508558,220071324,522482702,321578510,356229910,291285156,970719365,340806269,666899715,594829758,698141445,890629856,986722628,487223836,970728538,568760606,787935348,380609891,99639588,971497787,50336317,375971610,65105556,945672928,345754444,867724635,718456868,20637232,81791460,889397552,300611358,478961809,558909547,125109835,642381054,418463176,11414284,146926438,97027493,381831349,97869899,716351583,50241917,565520004,850491753,162404019,462351549,209109719,765774246,275217973,762912002,857616643,540500148,441160088,198082320,730418806,817295308,530888892,865312105,753610033,563101356,448585127,628679502,153929301,371488309,869538930,747079502,257259766,780553392,635300141,67956686,359402,187913987,604170339,453050956,580602162,80638792,655549558,806759797,745612777,814636492,321772048,244988733,672940104,920525763,794186300,408789205,771783587,974857333,792249510,550508217,666160698,886747961,3052019,899479072,116686650,987652372,448096120,986821913,565774851,757501927,294125096,248167319,93058107,925534535,790477515,428242946,246772316,582703590,15189108,371976260,970108103,438054841,702919363,932439418,300158073,531474245,996048716,279843638,210112238,470247911,505258417,402057377,465933360,652274089,965146690,525777369,319366556,471748709,959957656,137608780,820266493,853381275,83310252,960272705,576772574,797456418,894181234,303395279,284895517,570331947,799404076,232324999,223812397,286473527,830930910,209117239,764237971,727706954,4386967,127291858,109711383,109924955,563625930,995564796,875396912,39840585,923549420,409728682,806411435,718349646,86210966,148318666,450281598,647253338,204766448,961602013,423192701,562655686,207441755,938137281,535311598,85336986,777315832,738803557,527397568,751456547,428321883,335566231,774245296,129250638,602359189,203904506,718493743,142657418,543246995,364411826,210704410,579320430,791632602,692883495,559988341,645602654,326481139,460620155,690334557,62216840,538594234,961593030,208806152,970506244,255593985,898700491,868387478,216374226,103286192,600232124,820955052,844462259,784392646,64845145,606769536,928900605,647121477,57346889,824827870,773209267,456016136,731629115,610813724,649232991,890595155,597258576,570158461,168774108,869373154,426529152,848174835,669149160,547790336,292621315,205098341,430705284,512758036,194914601,745912383,248026521,317964204,617419374,517012733,246608553,510698818,610601381,418773372,749741437,266384283,53032518,561777295,989902076,23517476,301394566,285724630,238079747,170984421,871806686,264255740,300589767,197690950,937876962,654369314,885345665,803158653,562977052,617996948,147861127,940969091,373576487,231362555,106285543,760058691,763185154,534664057,957017019,300806828,301672870,898235400,160351858,737978300,563277807,652960544,26446438,300526577,337019827,169692615,464451528,498383000,695524860,443622530,637379759,187131053,91567940,174487717,619723997,547364236,667077769,861990837,269656878,98239251,409722580,93214370,510934257,176253950,770498901,33225028,494995430,666720890,477902856,379434004,755291533,421866741,346000807,664928344,786808572,917262612,880619154,32426004,165926654,610190817,266970212,401056129,103510962,447074635,870941425,62380403,547593384,302302810,652824020,606093356,240644399,875381852,740291944,253559985,606696884,151000920,467331636,31202911,155490673,663817458,377999151,1202978,850331938,74869728,551883914,920830669,923465842,40369669,901524141,598161442,245959235,406343396,187197659,478358674,818902748,14852300,870811099,602230009,475779198,423563725,964897639,546031067,252973472,853767649,282542915,465365034,541808252,337768915,677603800,310052899,817647524,640306506,601043822,191099917,852178392,827656916,316167971,928140873,815408675,572884737,661924736,459582575,899910863,381092208,589274959,293344719,812818281,613019060,821756533,787049947,774637461,398814198,127042689,515828983,318358769,615692647,163869257,163550962,721228118,208394584,430286796,777236245,748942905,479460062,540690464,120804780,780179181,266690257,34139461,882208391,906235214,37405308,599460695,666325146,768034167,485328521,66390264,641800235,923682188,773137668,368686628,742021801,802984996,371801825,680713585,811156106,208512914,730599765,569167144,35826841,20867106,634456305,786126635,476224625,489368764,360028860,628356821,513652489,214137796,189169816,433563221,55664707,685140934,510181168,538881087,688304025,781897878,923653472,908505969,728665047,592314449,699571796,914973404,608448117,479035443,189275097,839779111,64107724,340321731,375684040,179509274,131653792,382961195,585427756,255333041,579264099,159186886,852471505,913225043,522740304,414512485,270370471,516225795,947450214,457352891,204656580,520979202,280686702,458579057,185004457,417961308,535247220,656761047,356469613,781365628,618954957,723560122,567864708,315320993,808384131,672059919,914014486,166343283,365547589,502332140,356451832,956440540,472717424,953039619,946227621,460497152,153948692,512257834,389153918,592328096,432058417,602045197,632412603,14158220,618262499,374105115,986008294,726378960,775017641,773324952,763671330,837984636,616220226,812066444,892565384,514584655,645593685,621139244,868949481,564036570,250634364,314848196,715833577,832753563,81680222,824483448,61700502,605080294,369801760,3248820,526763027,302852710,728346284,721885740,653341827,29103960,118931899,310095724,981698283,210061538,131112369,614365487,638235870,691653944,350125336,15930801,926625016,733354693,149756121,877962137,448971267,19573197,938463329,192515095,808654488,358853301,474154394,276651061,570640546,46343989,285044464,288713843,983609851,734622337,200242622,209942700,596271683,401003114,523245245,537724475,814400904,317495439,43697263,365150297,588583722,75927967,379301571,134304407,552445583,398283575,383323473,441254621,324484825,223886238,818448918,939767640,198537723,506977989,230098251,18905789,430886078,679913389,380003133,399880487,190080471,628244236,217154135,528452494,6890056,638650739,115873244,797582810,766259355,955978037,158401294,674409560,283585397,158906637,146403289,915214954,957550233,326039577,360452432,321011519,2271982,181069798,257118254,338415423,944673295,826690248,937723918,743923088,41214603,88741218,250634938,998224143,388044729,759997979,330837383,301063574,269271290,610465667,915317784,910633214,433324256,882489380,158966296,728343707,402396489,615795273,718875292,740201908,48813943,276853870,624174156,924197343,265269960,700665139,738142107,574460402,508448722,689801229,973148615,287106921,882765074,929925575,863635172,720956675,321585424,40249219,551874871,172904248,193861833,452709497,967624288,686710575,423694170,987596292,49530383,55706228,240817895,63003905,25602046,775352126,147425848,505025881,539470670,526853730,634113208,251251349,548832878,46972559,766851314,715350392,398730473,374668866,757554316,720067928,380650405,314335707,768607525,831733223,730404990,781085386,672882661,63771359,929777319,364258032,546303160,374900480,497716982,925827842,634815625,835725471,887638937,712103599,987654990,515774225,673572914,259503703,550813538,510465757,459574870,192608702,489027698,486418116,216345600,110869332,878077053,969185552,368650433,540658942,954034723,912064423,853439231,53774917,451903469,370749863,818317926,640556497,664659507,208616989,723908874,111773710,886305277,849163411,936529921,97583656,764433319,342485953,48696074,241572854,354350611,492572847,6078557,967198210,626354288,441017580,192944363,135566638,688471103,820551076,656445780,575978498,809356074,146981425,178592106,180997765,579889945,356524849,810104366,992376595,315395857,37531820,196983858,255551005,257767661,862669882,247940827,434180160,27240242,289516017,589001461,637223198,739789738,577989959,209849083,116895602,48804747,273596560,914641724,654110642,732540679,264392763,85173298,848622698,976334029,478496915,517058824,778912631,589708062,227467890,541348094,863039552,327126703,291819267,418851986,282129386,17023297,602317448,335848811,88596799,724180108,215200080,931972076,592828021,181409274,712827760,514842050,97446384,810799975,948801714,822021087,686286006,498486931,914707295,915983801,768745901,844711223,102219035,644702811,786199675,944473435,109979896,729930971,509152820,772332834,171056589,501838243,224958778,216415601,936713966,457316493,404302522,735425814,560349465,610136811,898307910,505826035,298770609,528903767,339650430,35783073,331528708,166249046,237332526,460600553,997754824,223074830,803106273,937338525,30113373,966190404,810980292,752102314,464505838,555464487,23556330,647539420,386012733,574372684,183585083,730136389,361647425,999253102,527034774,857676502,834266351,231932994,224105359,230657773,556421691,577209207,824039076,989821104,411704709,647836427,114715376,840987758,951042577,4936769,331904490,21480228,311113193,279590938,423408622,841866910,679459443,46368475,176618601,377373695,533830484,218221434,228695031,560027837,319567975,216302020,869388586,578944768,744960178,924153841,40357448,260764232,710845380,418809155,846798879,287325867,564900335,713704625,376532438,63818582,979370712,397798810,5980722,919992843,763963761,936539272,901980033,942859306,796338703,886994369,162666103,492386887,675311826,246432248,653307709,272302021,499504893,912510703,627343985,168143899,422731860,314748579,341873090,99848483,669244702,506922670,420125015,51756244,994679178,735212569,275946462,24281534,643750813,266049893,280883705,724129118,835280522,320330683,321563824,515265244,694192290,451974424,507323235,502305595,290029369,828753335,230421213,211829755,145230,345855048,18382634,744155929,121622810,560747409,190422595,894866428,251454281,423491752,588007420,198007123,174124940,499390280,656023163,409183636,507546586,512257090,404463066,113618359,94905315,339141806,608432500,626714441,476970393,511674116,97125866,387824398,189786602,191286372,762191151,219495580,128366919,466504380,862290760,166113136,78169848,137764192,826901875,500398471,84715519,551185848,849249217,377059285,186989719,837151743,679352061,605199527,952699587,161141844,292341651,347312277,434131217,716140098,249965201,834765696,957953630,40000941,618083245,176434616,493673847,421771501,371525732,152188433,698130054,736373520,469294158,308086282,245728474,729111515,709441900,840624333,371204511,864938880,167749467,790620678,657140258,882137117,710949470,634445306,307676433,885983139,769168263,250899457,130777882,141792860,846443585,57941922,138209788,896460309,280301418,755777096,280008293,577225435,7517119,990452384,539995974,526523154,347023029,591387882,987375812,605372585,827613542,537214042,75839524,321669707,205470136,863383153,271152564,654641744,571280878,854367446,26191740,906849096,812590967,638784816,124691245,571928180,833693661,375629400,714314342,768527695,762263362,377094552,120351782,843356478,145717040,190842080,832296543,59218614,566849679,162811751,212656248,135290567,657141256,111623422,115292825,306910284,42750062,2294236,985985068,823244797,539110827,421262627,341980682,883953931,314791370,462522898,708186504,602648918,175179731,159400643,77356647,933858466,859478758,687507916,37253674,294447218,418081771,872335120,351290082,952587157,29544332,851041854,392605690,818210406,347446231,662851004,24145563,697555899,508510248,987849630,878363576,430377317,949015413,952004125,152163511,967221117,835628271,835728424,556102126,257938836,421221023,186472036,287195340,11031171,181017789,490854205,885244784,477732491,658181975,300188279,273971313,960704055,17048340,322591827,242894356,823337876,603343602,933065926,880936497,984954628,404415165,961011953,892387539,662143602,82465011,653479000,702141920,866148049,924447282,849975296,387917521,652829049,683691166,511694704,953716473,314941498,559914515,468345218,484602363,58531181,307704500,314581623,328153407,867575999,194936018,458687093,801076364,495330258,632580119,976583389,342176143,80249886,535040574,862714958,221975520,780449618,556275456,696437389,874871775,418254240,690569201,961902370,427605618,690276721,902685144,660158019,984417301,489074124,537903403,357399153,554302351,426132482,986872514,245327955,615067387,636373169,480828608,989129537,642995815,198596650,724647031,244765912,589959226,543462367,469758901,154753991,396622178,143256623,291482039,817727147,3883586,258535221,47502251,203053484,366918046,929597054,52758824,805739561,257902284,276663370,959221961,579739676,875186569,730292922,845638373,39687089,553260390,32535734,172826370,634193348,558251883,545262252,652085917,128145314,707848583,683068316,350846508,73405587,90595986,56982108,833244158,299625395,424705524,365045255,678313349,833265268,70169099,28546599,937570140,240748795,868028244,843984050,261344791,788613100,253719026,910562123,136973095,329320948,925494989,779421653,943617937,426114188,780488726,174793236,353858311,315258846,47681715,126074241,124162051,165312452,555541963,427197970,889100463,398592856,435029457,980142208,793094280,873611745,534796884,409874375,665869714,778975291,15528443,561370695,349165833,683397191,618637591,412619063,149807217,476304807,33520691,536105909,566393069,395875512,869054700,159711318,612301493,642471286,456373054,839172252,858558374,336204422,864685751,199573819,655842029,676659119,492855996,735886024,329764554,339019756,130321880,937405064,372629162,931806245,129699836,993921352,77840251,436367102,885554544,227107447,612672540,356698114,814098391,544970994,955806053,821402835,920406057,488499233,704688636,175530048,834014009,534997173,779044760,112657841,667439958,371291041,963884032,893918289,117387609,130764825,21708697,794431324,177030862,617195862,250776985,904626163,825998380,52943670,401240976,115409684,714572197,143630282,377354458,404839938,457109052,624974094,671831731,617462901,10604849,776572485,89516745,74293073,281087007,459477933,676013262,840165776,806153620,719700577,840450742,902058025,800439150,289190466,89998853,681053496,719407377,98554564,553992365,747374569,377789815,556233103,938442849,287949838,892748688,795399657,779603223,179153493,748599429,791802503,393764153,981291959,841022311,856013625,181716128,802648115,398820034,750486446,875448556,636662647,335737961,118767047,189748706,12298860,812059362,233064527,403413819,337898461,646893973,945840372,85856341,289550623,855445134,293481819,926661040,783624586,669737870,811100921,895138898,221521220,21105195,897593500,140111528,851828413,432696519,526677611,982958525,323677930,679746345,245335250,831716772,314849655,770539631,129837136,310037644,334963148,47583262,286562790,723126761,51422184,531846349,944541647,368222753,670360822,275202717,109172990,377871173,433066820,787953496,874010044,526915618,29439658,47354278,92186370,722560253,205305795,645401961,256052171,627093163,954423447,676159445,129683385,696822628,222905759,687746383,197658738,961308477,507262524,756156474,371246817,253041316,940499370,570288010,56421608,616660579,302185342,770265643,875760857,246179134,837507022,793148263,355122724,579406104,772009096,755884476,215812498,202760604,125939614,639466991,252638214,808966455,784014732,698380397,571069341,977425208,33051139,404994290,935724726,261316030,875148697,839205319,742750397,447397739,156259168,249805310,215223673,706360604,285160064,491149964,713854132,937093998,709643196,547818809,303866769,943011578,538596151,660605911,521771604,503542987,791743884,682370551,612165726,303368810,882225342,475927449,622250219,845778530,700640048,528841406,830418693,675135780,535671387,129006361,116351356,564544035,932097809,669583433,754952510,361367724,186601698,413880241,826474121,276203797,918128869,249712507,63965657,807484413,719311328,981785380,608178879,755579893,445365947,51343312,159345941,226681689,125809993,529408891,167316873,238728057,903533930,403849818,372525681,580311482,799561418,693240986,797446820,938963616,430272884,404297008,471710039,347465475,657045828,367931393,632925403,795576940,928588820,75909946,724561553,52912442,762659618,323284092,785401801,87010651,530118229,253743588,818093099,277494613,14108788,344283264,592400270,309222475,199468786,897284452,4318153,643881543,121059906,332377461,557895463,974114508,154223342,748269438,460282083,872387065,970501921,455940713,4883938,249470239,659629555,959348774,747039175,563019267,928950515,968926837,806791734,734394098,531686756,657386253,719818870,16581471,38481585,874782848,195876195,995052808,972015240,459603210,536004440,255601172,165700720,623222004,901890848,380717359,206763149,96354281,991325895,259922751,901747563,739158418,349254107,101764917,537543240,432147591,822930523,441286442,90873668,544948702,813652621,545276857,499305218,666432523,124875155,357416938,549619336,608176945,986363991,623140142,696796896,443288967,885071637,863712155,926714085,849047961,114119616,593017223,682376496,387139719,398853231,800901894,131951818,409699499,969705763,810354986,434544928,861360383,939798518,657021489,285539121,63310474,138291423,376469932,128701490,620985969,412312368,560981731,979640361,695013802,443463364,901172140,155808342,594685398,569805699,737909985,179654197,930024273,227768532,402500583,787928336,457495034,30445372,738772156,690115520,475850775,148784300,284991895,700305509,814596833,147289365,448538638,327574096,530374261,688208712,94299390,986169391,395287674,350308057,938414427,947032501,904127128,142303010,876574404,172162837,396753057,886781005,767697791,816666407,952096822,824011386,266662343,698711748,314951894,883745992,944218935,25578206,808587035,797414170,431844708,624650999,113935436,488677946,798388216,881513976,33348892,155329647,532899391,986755456,909854243,450511590,131088400,922982041,617460689,73493607,794872935,985163536,637531591,780726120,957304953,56596736,149541747,915816336,272034283,306702096,633924846,97520842,633645848,345495241,509722346,797111981,187579867,30311861,249391733,383945935,532180125,212543406,982261028,384820052,538956335,411375851,585975334,725815894,389785224,818069680,925349379,888492522,756418002,659524643,309515938,391644579,785988076,267471504,221771908,74249329,942943888,554790450,697380679,780815205,872672110,893534022,817906467,128555416,375217041,844021679,151957268,844953700,37284326,568418666,333253781,385086758,503943299,296898349,732772615,773138144,743711733,313044789,628413434,403714264,25258278,96180037,948500042,48180561,57278286,17550169,118171405,124622023,393685638,132855323,603631068,30882764,345525286,529622693,850125481,52373887,723467927,175565120,217879031,634403661,219530523,725241749,927004793,86381794,710673175,588965460,493708448,270951827,199828457,173859784,383374200,14949171,262133267,319712133,512756161,799533049,792656612,744629523,598129383,978409470,79978090,487803020,256415570,220996727,651000591,736723553,293905856,134582332,514809140,245082604,520762209,688667446,654363382,670443926,152663614,12143697,169550936,242682785,726971880,949007795,321983699,609275753,532221004,796849476,194319362,807136924,331654262,81118988,541249737,797000145,90269248,57974030,971027708,363948313,321951285,98447824,890541482,57376644,948911091,60395872,797011125,720766111,630837950,684267868,383272506,881844627,225902940,304728763,270003366,759099802,909650514,651531263,637998611,46395745,699626645,563837498,922956598,497607921,694551987,775075701,599647185,993049749,819869464,111916957,272994423,771450886,282625080,1844160,983240240,768667359,594068647,920385390,292498853,430641416,153190129,607688018,545659842,918419340,78872170,562207603,221928898,175694794,35221763,832378290,743012442,254708658,561520157,784175061,135877408,577360246,45548928,146203251,777302439,777590903,597408559,5808299,291428080,470328569,740917277,5813290,25483074,988119521,399999091,842554744,683125763,294502590,133558598,204198482,47274319,381307350,967227291,383781115,954143772,738188106,189724190,371148298,508323686,497628968,613657328,335369,259825484,625661965,197051704,945198159,975636477,845871311,806859031,691006044,692313531,473254503,331545100,885566736,304971663,608798850,73444100,480384294,440129935,696562715,605210091,589954352,641351647,560948388,535290689,255020748,297035677,341042875,507863140,741559331,418515544,593797437,684099055,321987751,938909530,185743481,663965229,949155788,635732839,127127553,64901778,657351176,562071328,239419013,161096614,568651631,356166563,617014448,551074318,379798241,863084500,852726073,264609455,837533405,270922513,161139003,415319590,783802321,5031626,187797688,912876756,834126125,227591582,895036031,594543098,699425561,112237392,115423458,463468419,199807987,453925180,411479709,630774468,147418341,564921944,327580089,838727724,623147126,64283724,552167407,955315702,345880972,853057470,901417888,898764577,159533645,155839837,779452974,154676214,163629488,687059497,117684109,898752257,68201281,576694061,73824106,472676746,621621661,643024991,82952798,945426126,807200946,898325330,608513135,387536225,961524747,931072157,168329531,127549199,955409454,438135920,302956484,530224469,700465027,337889365,57528050,107990398,24851639,975780555,52044980,791872661,300832026,13961281,238593903,457368937,946150924,765007149,591623430,54257711,959097473,477166966,105719150,830847284,61129702,468261053,356617173,545867930,237548324,358957789,165847298,554463439,67339985,326605948,310878106,354136293,652938266,39430769,957531331,876791387,374492804,303291768,636933481,391155960,143536163,359908146,719769170,57954034,279898607,23186821,919183666,422824912,988281560,617787460,531409881,605819266,157658047,516296115,900036877,214424214,215001816,903419896,735777265,20116211,443466078,551441330,269243624,363421320,347738214,500886858,942689776,653757008,226114809,288665264,270898884,91076081,974058663,318080126,39148750,702590044,18271284,772660288,811871642,122104023,871282274,863838473,754909875,26604588,686987730,800474474,41632799,734792299,201645319,881219996,722145061,397917035,544430716,46451589,162702682,865036641,641920296,513418293,272360851,281949859,230752185,244462359,23910658,587619188,247966823,185058615,725565460,105445817,641606032,152985089,430053420,431716837,660378549,238621109,144036116,2763406,329712241,448990125,332080412,395437898,739313235,858196579,653319733,559526906,450303153,164540720,251470117,848938246,972469408,46845627,547847220,122105797,453812549,600614712,624634724,801039743,818870551,518077461,865331466,52202498,982626501,219346246,916053394,922015923,950283847,648595899,203138212,747271317,196261511,568601775,867723329,452823989,865963472,574552719,624727075,761809469,189976222,215563742,821692245,285711105,462449508,272846969,784213862,984702658,962141547,478121604,639336968,576303175,871332914,911692593,119570973,507780723,979910,928335810,583636547,653251198,390764441,132752887,668467838,110577121,500346193,294325352,333456673,288092323,632704131,653116005,290056527,481014820,909070554,353682881,84258068,145040857,550409923,720743163,852583462,147474883,415048866,299893618,578321124,736006706,161639700,246539906,120900127,218002362,116726740,206232581,110308541,621431093,363112009,646426347,327812963,775691707,11103800,249210508,859435729,146407873,742921762,291492161,604565191,790252019,380145475,346246062,964920775,573733868,381661464,937972550,234758129,459869106,574245783,453321809,151623251,188900736,877503674,352161345,800427145,515261340,893733917,816330322,873567103,701347479,718731992,726585167,835506805,24171716,270839827,854692971,15053694,50562527,190369663,957933526,2260856,347938083,938859724,295229014,662250032,105040779,144061828,290661728,421125532,245471765,969449993,534979395,134123483,277928042,160012422,467229706,365154168,900745279,761445681,694015625,751415399,162319836,121470544,688454105,465225369,556053773,535143717,697512536,589107584,310187072,369220290,174697364,316053840,506729916,102129504,869487368,72220267,126076244,58569425,664938980,600369445,359193028,745483056,537145430,733880936,974136392,799629552,327759651,31533900,163492163,670798020,19142414,252768144,396025496,536390572,502045470,362713349,769684954,631975774,74719376,155969892,420327444,498944560,847609650,842962293,748829874,912181008,769253409,912686006,271288175,35284088,26614605,184879637,882881217,314345145,657296674,185128259,62724637,530287,700083884,167937427,90195875,763434383,446273080,722671352,851296481,714583399,732238412,613358615,771648302,147599212,62679099,366831185,692618135,549428853,397480992,536423402,826536392,700017638,428694186,357028478,652809557,654217526,254884790,318442124,890435470,620730038,339644998,231641041,972074470,736930560,513834649,705171386,827688757,361500053,820305147,770723031,780955,697477635,66676887,224635772,250413350,883597045,370034031,78845437,117485005,650523452,707261234,53071220,542665826,492239443,844620403,151062914,530429828,570866386,889836986,852513028,877124812,491004399,360965082,437373410,407506986,159525689,780031148,85733013,924200688,381492392,101537629,21736723,413545682,626610953,288859424,636257262,244911088,327930743,552600575,450916319,292172862,111568563,328054286,621325332,110885019,713733385,139232734,217877043,691880311,906286969,462398705,199077325,198514309,575894576,413180450,692508570,738364271,19584346,859648493,429149089,708483768,289673097,665730767,206618689,764712994,819544936,530208807,701819098,938986220,578808324,854730420,471272344,348422816,907648145,457531000,555652466,954595763,552878318,641939828,391432533,302965386,606427723,245959535,854776446,788701819,200151338,77012033,605046571,712554824,368364350,714978723,896783878,867627063,8584548,258852571,967373145,91327816,432539367,563891573,794229538,138277336,711652997,380973487,149986082,288711081,845067409,171807646,769080387,555352149,265756569,100840055,804676883,690084897,779403310,82961748,781473762,489370710,939174123,765328324,152310374,100299706,870232567,963542919,130338559,740553948,791902866,587333292,508825600,594171935,982354004,882159737,284315533,179151131,369033959,449272510,767741449,673505889,989385120,337920991,15660234,396752821,148349578,285974198,317382005,133240701,698978192,728816717,171294009,690312637,483218852,662050539,769840835,344456009,972578508,338653518,805311140,814893340,796675584,656771686,170934305,272496550,304907609,975401230,954460639,297144908,423193541,110509106,707395592,914470342,969054254,184935120,748703052,541619675,427154610,951600460,641311944,877195214,530502804,722380253,957116176,718728225,44103054,639157331,742888930,223081513,284640294,524793185,72122501,59484958,330509048,62111782,557933650,144145139,720065138,692078360,597132724,30693001,749013776,390240974,74647718,830626889,259622477,161304771,946712287,759525765,854279957,117541280,121996987,51392376,906696946,898860936,255715231,341027263,194181884,509388182,878712007,755369175,17430653,965240750,778299497,977158150,642631349,365891664,835644530,500899206,823999743,524359889,782318744,622172946,95302439,276123578,213949625,463128181,763366080,675644857,49118259,181707296,173682493,472296127,943706741,29747313,558205571,807792471,982469523,888895550,280095919,144414826,740024061,631268064,31842639,999662811,904213138,645597386,735455498,209235993,523365218,417389799,941544742,252333819,185641133,938751612,48138381,849423651,615717270,2528872,606351833,785380885,304178513,662371401,480196532,563714740,739705873,943301552,602357327,878528257,762921713,17708275,243739161,171636480,999300979,447987337,238991707,10539946,562478844,366022264,687376929,884552468,754708236,912344342,631222881,516431503,45942841,80177411,730335104,310585447,492159536,516981549,717136469,156586399,279035673,783180725,299713497,239655709,14786469,893392982,609532634,737883707,263941297,154174705,747787579,849656058,881531169,523800979,97740276,283304360,159585456,603217453,84257009,300264051,272475898,367033472,890265714,549288198,772885318,416489615,982567727,633876378,468248495,216975175,136262387,368690762,493878769,837756443,668695019,416105972,697430960,960926588,535652424,829384200,444816866,841672778,920953051,738844667,28595855,737823458,523246641,157547106,401625148,107879701,296899301,305812732,803464919,83104665,726143838,249524492,98356338,518017985,480597985,83982020,740865235,34082604,188508559,940331458,347856047,597322723,871172084,186111641,57461295,985992109,649054792,987894440,121307412,584984779,282109077,50331366,814639378,607417699,797430778,1058819,843180137,664040153,221862435,968683063,225633120,210548545,166157141,353764242,892969953,676725262,245653305,213287393,120066203,941592634,715938171,639963546,721581934,575728008,557068999,623995712,963809622,316467968,417254522,42278312,429658844,510840518,173329206,169456487,804795272,832127929,65810408,856518700,507775275,861007118,409048664,819567372,160505175,374763342,923211881,680275763,297273889,683410323,349001992,638717036,75153625,602548323,14741048,30582010,579131825,957811148,614562951,861682289,660431911,177982955,652015059,778192330,641476241,230878512,980570989,823149,185753908,757891053,201645271,136045480,894766834,927187040,229459753,287199854,215824438,458400491,177298367,64705957,187260203,730575853,475026459,910487868,865755568,430234683,640178423,249273473,810452768,930179087,644627278,378830354,193259653,243772523,583534284,787210757,445383178,25685025,481432463,345962351,9190545,240614507,979847697,928153083,27359590,488477314,322489045,68587082,190285529,206060136,25183306,311648274,451628438,854554284,774038386,688570847,440233028,354666620,874809860,56961400,79834666,246831228,594134244,413411021,251102180,703418987,408391475,123011697,283637015,657947859,600746510,416678228,107822035,279018423,954550049,482560537,75811712,147565199,460859713,708982326,288755090,341282562,929467208,805445805,970670161,434457307,765368298,796151554,534155176,293076276,875800008,497764664,928827517,221354076,302483171,724851675,975172556,447527932,510158851,557024194,947725099,498429246,583050761,214366268,214773247,747090352,974290543,374419351,859927140,24045668,780352394,173057938,10498764,152777800,7844111,43085717,739526774,666132624,702673658,957430420,181894542,537498439,590260381,857552061,84064351,225981968,20217064,62594820,763813892,991616215,469784560,327880345,466834111,868702891,827822198,813673464,196020146,333671578,374290142,246983095,912150970,484232596,814708586,631381914,781286449,381380822,387700786,304635540,81043707,232831261,246190564,600322547,833441179,513675274,50890338,254793680,286115509,219306535,627854703,480785920,527597728,489848799,196049659,712649370,994301970,227708729,70015627,669296040,707749805,680209734,247597089,485871854,566226000,558326192,263399944,133187913,735589778,836873548,995883365,228415791,672218552,36855774,252964051,970863793,303097268,394947798,799487543,357409701,214958741,40161183,915628194,74766847,115871839,605784334,360649669,214610502,878840343,938036402,996776324,985214436,447274438,849828214,646850957,815054348,913412805,734587898,310066171,887590613,64486114,587892022,617564425,339872591,962776779,541882791,7811216,303985327,720473073,872536419,333160468,526186826,154405307,220450032,810843246,769622606,662053066,936535133,501101019,716658374,124407954,489799089,688810166,475762460,984056555,232724666,513104465,566918310,216886041,784121606,263337931,563401748,88057169,783152413,136278278,60545538,279493384,67848431,628970480,80422784,668673172,952570847,329147601,608371001,40171099,101263523,949414005,838882185,573464640,913954502,264477261,651042643,851338352,989423919,517178592,750296087,101168766,841545322,262593476,503877813,25113448,970990514,520236493,93167908,550763532,339145020,409635705,726997377,598051813,351795997,145333015,550859864,205128740,797633888,706853469,703272855,877115521,700797112,274758313,449058010,575893836,282656675,975334060,320941533,511194773,894534591,445828646,713249419,414650708,559143706,998160648,327322320,806413689,550021368,858849018,598738894,639054255,895513264,471099497,89951434,374670405,774905755,185379680,367065075,253648061,748429239,196120237,32590725,384558039,440545357,580940746,630614721,244927136,413376052,595665197,320682122,245164188,215172560,713320797,172185151,303743554,416890457,308504989,31308922,964610082,894582476,538240752,504596225,544380627,753245640,679285428,192841047,328319048,471300935,580269789,582618550,614477795,562457858,474694021,592270769,561298353,732723875,928485139,686808874,472763824,889369834,68246615,783504164,544001540,999121700,611668958,980407129,696912049,692426293,727029910,620292887,395534924,202280495,777199456,875582463,284103922,187076981,847749567,903065302,741389899,675971289,140499299,178811635,27263421,800867847,395145116,66798157,388091650,901694029,747090245,884788794,256490631,587074545,841331675,611261404,974902841,332553842,304821864,407193435,92485845,877929591,21312148,112591880,968892212,534385952,149530684,580956619,155772074,40955697,293393657,904948797,902807352,199939913,286839295,140609466,277521932,648955807,164383622,175273617,899213625,442115655,981699674,786997128,901452715,163949297,114201349,243084218,661245076,365255861,521650014,389861975,747134740,907567432,274264618,506168907,205894289,676111593,951680724,406294868,95827805,936785955,369662663,917770106,49631711,210562725,291161228,322529256,68666709,942503192,279012452,735474489,146417506,901835647,109696432,632863083,528116008,10058212,172614010,407366770,66389818,170840603,815986284,521940212,493671002,186397384,145869243,972613097,905207863,96180957,948906738,105921375,221585447,544900304,559123203,49241133,857207710,915389351,115757980,504534196,787465838,644243874,575056843,528231467,733936998,153318519,502604972,718464293,990149086,33718640,71948038,401355033,446925541,162535291,523114236,926050596,708440631,604032815,3312113,895048623,519008014,75841816,779131225,396137160,725362378,996496845,400036795,169293920,683054123,359227360,85389716,571034589,615555882,827830688,182318708,63399022,332486621,938964666,881218816,716744192,752372862,152769088,906431751,623505706,713150913,110838280,823473128,236542472,727789958,626274357,207930456,775550228,476419691,151146679,264757778,203718402,936597025,540756823,782072955,937144945,365137980,515106445,504703831,782174015,157333309,997883927,600818982,338026534,972567221,254343502,972496774,147622321,543032696,148210846,277387706,26962444,513439796,815592025,883089626,340461306,765187354,25139628,612981934,869478335,507251691,458783783,861613890,150071039,573365217,687461510,215147668,569336016,427755545,120804340,533602702,257880606,243825301,425820188,179996808,159919222,20773746,750896606,372473346,443905558,52777096,925398106,892602974,536550792,249072124,463887921,116336059,966932366,394536789,115152217,621929932,523952786,937215616,72167527,815891789,366616322,920045664,578952860,386555747,174100613,961484460,267810332,218633879,580426562,474526585,858973969,991953836,73856924,69085101,52172530,489771390,896374852,289779283,853412581,718522450,520611553,695392959,524927187,266253283,393774699,9080756,303950250,315276286,392660410,793886181,862737991,915928469,697369425,709689661,251142924,544437917,324752238,724809701,302711667,96504055,891618427,541560475,459756736,87683218,322040373,556934819,460208498,121367180,274436394,923802581,315894119,911681164,852039935,415704813,325863300,145788204,298194353,14300437,209301065,92486953,221926363,376872637,782268162,783620029,101516993,114608700,613316652,543172300,672120730,227231114,896387252,321718411,122372962,868200118,916929641,921218032,594525672,990653493,292502085,471659254,158821416,674924857,176098528,5175459,878139168,218453250,787396854,657975744,113209817,57706219,126730029,66263753,893482064,14339412,854342145,749741683,281497213,347677813,850597458,793919412,499514872,628261312,939449384,774419275,545705863,577541435,582302412,578906638,324910212,406421100,736929734,154004361,838352800,602222541,44999859,721906311,123033182,597119224,396371507,397905732,685016360,577840816,904741822,377776228,610002988,686704251,574613800,270442545,967698632,237152043,869394488,470755564,983694315,977648085,612378323,152162844,368507384,470092530,702130803,783561003,682423981,87702812,9884061,580678054,521402089,150050715,717689080,717854976,768800254,373778234,663187426,690523948,358780099,267218371,122410794,875357658,885209429,641043613,765854306,707530278,754398286,164008949,233311813,164482382,241030046,92179998,105190978,346985157,492611435,14060941,582548250,683260302,698363934,249195810,458725556,887742027,959735645,58424727,960119504,913848988,431068902,155733623,420228147,732933102,906437447,226762676,914815038,78522387,401016415,430479404,373994386,180166242,460678565,491282562,583592933,661497927,272697030,615462830,818480692,157704423,454038021,322646299,939726426,760537471,952217740,900432681,221587439,63955070,916476614,927518966,125576432,494816959,663352124,949480835,481215781,319882571,596489643,554480587,153754651,185007264,146757568,362250926,893069636,972186061,466464713,625199848,252752498,683513777,505049176,143577523,520882855,997345766,179647677,397433222,849468779,643395641,553193530,691351450,923553326,164205768,736900198,539899796,812700836,126546022,355774824,341328201,453080677,438912389,400828783,814377781,36357777,972777442,847438580,444090785,321509903,102932533,859233003,145940239,626627904,490250368,874016922,136325156,26378559,748244880,749560048,534475657,931425758,509463716,107830810,639200610,260451225,637324055,186486243,712276447,549838179,730799376,484246655,405387636,945312860,48950903,243460697,449010103,73228044,79440741,619603598,407485317,651543679,604192861,180511088,684644061,521482947,129294089,275683493,840792922,580366969,713151468,401846047,508162869,770462477,189707571,492461183,577821626,899892721,30267051,792225991,255958816,484689854,98018887,441240377,689787753,76474737,854806007,409202531,267247422,103744926,360928176,79695443,20597184,682738919,727206361,640426987,912022283,944990728,362948979,371905153,130127062,925722970,675624472,237203198,228470782,738842112,657619066,482651728,370957879,80500014,542905792,824079230,798176829,870830864,293636709,533943409,310858390,292358384,101712724,813946829,43182054,334645815,253921347,942606446,31442838,475249830,395062553,83808451,874530548,498613552,165461583,819224926,550688932,501715316,554837534,820093269,784122504,255424812,1081882,804341490,418979129,29838670,169714352,995418081,710699504,247231126,654252158,406640353,5954554,899066316,188410451,988950482,768183224,763118680,584894479,594197625,716387422,604824289,680159355,306774317,308761125,725817718,758909232,858954661,218339602,968051836,839776100,274452600,406683013,577563758,928071352,457812644,254507290,597683907,4010325,454416665,804849713,770576076,458607821,249457011,847069905,431474968,235307613,833740754,132015845,205074981,528944081,94072284,792771999,244560380,962495000,456768040,95224687,724089935,744385253,975845938,921764592,928414002,181447977,845669950,292953684,342900506,988039705,791226290,225846072,704725754,375635333,689890795,376413002,919756731,1839982,224106705,823079071,375528286,571443726,131510099,742937864,990822229,685889689,410171494,804674773,364003534,639186181,452339637,49223137,113922173,819679946,218040538,883322995,782796703,57154167,732323014,971562992,213660041,378742683,918247605,958875567,3495003,401805931,212498444,34134670,908287997,411002023,451491166,538882614,549001309,574267416,349091693,624635886,216995349,477606345,160521636,195612595,902478083,661096349,607875922,486998155,662128699,254327615,450760543,416060934,501672355,66997675,142337022,361788685,180167815,28852057,700045886,344098297,930179918,425376569,146104427,696798801,146772764,517999871,34879348,548182546,34146834,691758497,50848326,433993386,868545534,487297434,499753551,23904451,257485803,857755558,827592947,80301637,468280797,377375348,975827562,986593419,483659910,816580871,996402484,957662681,217017618,284899511,360769730,784760225,609867027,768303477,465644257,767929942,169999437,663635048,681341151,703192969,248469762,601669017,924963870,601310460,961634780,744962727,9823178,652984889,412086197,567215957,667180649,839845953,981929622,18592808,410750525,161533608,556851708,326454362,971755456,980806772,821759082,624520118,406943131,16204871,732047681,129389687,170524272,184243024,129042299,980825801,617574143,935893611,989347277,820031986,630985553,645402579,538419871,812365107,417580094,44437385,11895061,338332760,276344423,740060895,906005832,991295653,575442355,252677775,388951234,855886537,323767990,570721040,766631751,931326393,994988010,471186498,678987620,570662059,967535714,774247009,729203800,15033759,222075846,277743892,512347825,924498761,60635466,835933821,147052004,777241745,44854682,440154871,24690496,233738584,56308577,598007086,963814576,561719994,818672972,780569219,564241230,689263344,668008912,790557134,806786815,28588306,295365233,119238593,147915534,639803943,841289049,447205977,226912415,105515054,41235325,805913791,349872414,150993643,53677628,361870764,893255497,268701280,910184408,88803822,259125827,891916340,642511329,319813050,794116009,301694523,600751248,211125843,784055521,971299574,636836323,867626206,493576363,443582901,186877774,136524037,243076189,22973421,200676866,328692513,420508317,451373669,160301946,349471833,966657640,962719709,874989659,280676244,920104613,159001571,42580632,168151822,278662634,55401924,138104133,626433971,496354767,103772982,32285699,586273910,571133272,506497659,380909199,703333945,528523985,872532356,469855684,161160737,94940528,909625591,815645282,965983354,693463067,61975531,147449717,338790683,343964729,516945226,518102604,431322663,720800910,15118579,815503891,184138894,69778478,100864742,689329746,939551956,946151636,775326698,310364574,368539007,459961408,172638014,629486367,37316388,323483178,309419569,263866543,300112668,993212917,311331533,348689239,831344165,199659349,3129267,51309861,741499058,111994286,300925606,786444082,971562325,265159696,358667389,487148100,225955226,440434595,285239998,792057782,82848978,171504470,218454092,616540252,379268562,588336457,998007040,226384480,638257244,80076913,176947599,470967767,477790323,924013282,457524220,336388565,849970676,193820907,357919452,785214207,893567055,720163328,285229595,175140092,283853122,628750529,174123081,861571311,357976802,257864974,777615348,569793544,98070929,676988906,970394269,998528423,920311700,548863396,571481906,30031208,48162182,315370888,163987457,488670509,798059948,590095690,602425902,572145445,54583146,352670036,71458305,524384731,419882720,627645908,500674250,411438206,315487110,347926083,350553012,812909793,424702408,745527501,385533634,650198382,585910632,203800018,678341767,315924129,470275672,374076421,438390347,192311479,293429756,846100744,484992012,79219228,948593872,148208407,541661350,383950217,117767843,267981443,359546755,510694585,18652205,915974379,340016967,316856932,437087477,440423998,169573632,252707841,106889569,243442399,329472778,728138703,789657403,198742171,263431290,601107140,252565080,267854602,564648396,362616408,210691155,350601392,983130132,453268996,866306649,336528819,667061855,205525074,416068902,72582702,660370770,21602478,753978849,214325740,631993153,13848952,996994544,124881499,513808143,462036449,950411648,938909904,956914538,401882325,669815741,442411536,118477579,782681610,496799526,259084482,960603022,8907660,785510435,280199889,660974826,391337252,749431530,996809580,79583184,735831170,538699411,3986019,636863483,607328870,688231029,731941397,561263428,923145536,441266641,397923396,557841264,564647729,489836187,185622162,196538638,902101049,157556786,312756430,581287801,905420444,490683697,280310144,257071399,788487953,580841493,580083473,184913948,469132892,689726950,247317255,673386147,933323572,649976355,582460493,932776911,978146704,808566567,131029178,389151934,377068530,199725285,401619154,42900393,445950256,401021112,670501212,732136025,291004243,4280844,144352032,478437570,136163062,22439260,738144182,931008168,632395809,132860274,271756303,450485010,430172904,388951162,916914248,347124586,30112647,48430589,549341266,904671958,325320312,187505977,847544548,592423680,161520612,581247334,622935983,784235700,130701899,859397094,420304286,840548713,851906099,847825628,558690474,610894224,409971589,248449143,753602440,514229638,875473387,496771298,238457611,45913475,705483282,109035065,812219169,82945314,686587182,486315004,515341846,216430206,371476833,111020143,987820446,791638954,189922730,22289530,504207376,870289042,522679937,867944916,241391437,834340588,335012142,262910187,734266063,206172810,426335011,119983324,174942817,962253968,561241667,171284412,636491079,357164637,757989294,960188280,297065958,959613695,366715119,480805495,680886198,108434486,658315368,580781234,298961435,819648743,448396682,191769405,413070021,338450512,793560713,429350602,5953061,941928046,986034853,439545101,964065261,716612277,582886884,66263778,391684569,528441565,922878964,2368064,847605978,42857652,656572241,178917208,819134315,94677158,77002932,350045529,797949268,282995595,94995093,210941196,630012810,344612556,752579800,603312683,134802298,729330124,684517737,449255516,732221964,293508036,830984827,385150800,425460074,478225360,953499577,146273966,535693555,344786213,782594615,103596855,532758843,34613721,155606245,630807778,889977184,727949107,323956778,390745971,179413685,79501805,970192987,817448127,733513172,248076636,958838442,947924997,56893442,909701229,599283497,682630601,848320509,501929787,806692048,52230183,896284241,912833243,925609230,932936646,692440016,301874917,185843502,181644767,727983272,192332519,670580547,724973757,591182077,268460855,735353334,904235917,188317922,888930327,309973167,735630348,764771721,193606761,20257391,160163731,394112810,292556318,236168651,163911726,120772552,103920549,973229692,525147934,887349451,529528346,681690824,114054868,701527180,656479372,47211740,741707115,667820215,595062964,134087781,855107355,976735985,743817889,222642477,243084474,269817752,442614723,685444912,386159202,682847519,969327149,643072027,39613122,329364727,232843747,444298841,967209354,641040939,153142999,498123212,428851597,849405915,440639129,871117178,123596374,81346658,596215404,906809881,750479568,567423275,428882919,544165548,381462852,26193817,959211050,212308337,582721686,195377886,762519256,31797886,229761351,647752443,137400388,711254972,203521234,874425518,239562455,947730476,782944731,174336441,677112082,97896315,188683074,995286011,96243316,366262804,638476876,413083525,35070240,983217102,132945753,176218134,324538820,469584297,452525437,285552678,428454109,249897492,302435334,942682025,96680475,628200075,625315780,323819912,678361023,471787648,328490738,287017865,766087988,104027778,108620917,549973126,618670330,684525546,336399626,817890626,945553112,546826216,854261902,213992804,682834780,227463102,585275290,603586903,651670470,947771924,117214732,518661633,183387238,248633075,708735526,562836699,263981144,564995479,392835919,656309098,749484942,989728035,376119257,962953474,537921204,281854422,427358976,966975887,798653632,532681544,681364101,721792974,140288494,502219879,347902674,559097166,358783724,709031787,714634975,956991303,736448743,312927464,485319514,563809517,926212704,778041080,149258548,874929181,668642067,234384280,728838419,103680275,397840246,984156124,661898714,796767660,145421386,839082528,114697275,180154324,814022372,312263593,755598747,147623557,16294144,213960942,545488542,313286999,316314685,155297346,13783134,535429706,708444258,93717437,760755940,880601217,916921836,175871975,724729278,637843082,544964304,814581098,216771338,601826716,598466968,453646955,565333411,463808592,605619067,79120383,109341503,920539882,40448815,264943981,964941306,535840515,703724999,392781304,988846519,146880848,581516940,461266736,991942970,351330773,697310691,275606735,458196520,538229558,837311516,320157928,563841407,443067420,790259551,937906063,7734929,629418218,739972635,253901870,183927010,594572049,728960919,374361201,840045557,481619677,273079652,2350465,435355504,83955938,643126125,803640365,803729988,623422534,267249059,26857414,553460825,524688064,624494055,95881198,925034096,2162590,748495905,810877147,837111984,132060726,671523574,201777605,734685911,324222066,136012495,745040898,361327749,712032021,842382115,235854152,359031475,386863477,866670761,235885664,552572804,657718486,636140542,929971793,549125356,655924750,189815157,846139984,119076093,146136363,718109164,199851215,548904570,917872396,148761533,612515835,840088362,420294069,687144102,395852367,930249590,359331082,153013724,810582189,449456506,255615884,851499307,300133549,232994488,600441166,559242926,953890971,992881096,651532658,697194348,861022377,141951983,715556227,608870981,822163138,282846174,309699916,748617148,825019626,120516327,547514923,603699724,499746069,187287594,796048187,612887460,246424092,995999823,225459940,83960964,758501974,618085698,544264334,737887618,63079131,313131524,453601555,699137881,580843061,133225620,71056546,705450987,754601523,185556287,295904860,329592280,225944404,217627313,371596510,417268664,700900190,312972669,903298303,828271073,559088294,231974096,344725102,125767321,528663412,869516935,943491247,682127376,306784321,235294015,301436899,269292283,816555679,818126727,393584521,954516685,344308938,691826372,278811066,323303841,332696304,264936089,488226740,537166370,724505685,864681293,988496260,156143476,597599288,983070127,581904290,466934858,364036565,278930480,926994905,703371818,772030825,291619437,419033482,855161445,299000591,206283340,960010587,964323976,989838508,363854560,596777835,380853670,366039001,790439445,935594359,271674448,230202471,356539077,245939830,291836878,709083562,827374318,467936050,974766537,899956474,245152841,134424980,736463811,746016845,83795152,789487271,700611465,646641584,259346301,362747979,684366287,51027934,895278873,481643936,414101397,931723679,749222736,251404085,145667451,707808044,182242583,141134924,991902258,77114999,118980938,842411594,381208299,231692597,451232892,912310119,739076790,341406312,502643091,155839684,790200132,370367613,108957014,102705540,875568064,588967951,645400124,845748347,124346572,201849797,879850709,60638398,707878279,633573623,387949453,589407593,399939845,340223721,95958947,798133771,123577506,690181918,204689593,723775556,912655457,675418641,122373652,342538857,381045431,210575632,842829131,289371934,834062245,87043014,200804860,642849830,567598452,152815598,459440899,237530418,674542604,956067033,38367871,905619929,631789795,282780494,869335178,900012177,818885498,224157346,238512723,52167014,70098021,900131785,652237166,142393312,967410949,48852687,549505062,151315131,68107520,481137284,954372332,349869726,428867625,661640439,988392345,562477770,471393170,590252585,228283375,882605925,830431892,56890864,168720210,67310399,685321690,231948257,86815193,351832357,797204161,306207862,328799709,280990138,875638044,903264057,209458804,612555855,979321801,111855627,619822053,248120975,559092919,703083443,51404116,161811033,223545428,401506770,378865307,804471811,697678865,894828203,155496351,809953324,960051295,509918443,563499961,384296715,499056058,774329241,783285144,569217708,819543058,21200376,729790186,959570454,867112589,317749624,256766039,980091400,406701926,838098067,461138118,676348862,215072648,625298807,405887456,612803826,975445130,746688059,278737402,701864808,166514608,896654911,821765968,525342111,774106881,235920200,325168445,700692214,48332305,160900224,413821769,439197063,896268668,811703619,37660191,393699640,463788166,617838295,358278376,798780230,810650097,720768406,253191197,743693715,757890924,32278360,178775255,286534826,639642998,61596883,649262900,618602688,731365106,446542385,549782976,614246769,742633799,870879290,387598235,821561904,622268470,555922322,425016015,178527934,529314711,189222790,343391814,742601893,48855808,834439768,738259912,986824397,44205841,465282457,362436617,281557170,697252055,421622548,793275891,472121631,729724370,113334202,172107389,945774381,80163070,659737062,452243356,741304242,557020488,25998478,445754513,843321643,142655784,926691461,956266541,299200232,325041263,582963906,182884428,810208714,776663497,935796134,246794724,753957204,878846825,605702752,492279222,514118294,434581593,307023033,828379793,863497756,980708014,307150294,911378286,751505071,665564608,263964219,237983645,440132621,670225984,833912890,524153067,554516693,703913003,375427253,205811627,711783980,267010959,255321173,920653275,678343582,471694598,917324156,642458584,43941735,486824068,208768226,494618621,808674675,966711433,531185651,252954246,496252267,943661490,540824821,891995746,597152184,251646910,778651072,551825246,231105659,596865601,274733551,429630594,320866759,427879147,412398869,71647561,748208189,157662435,872492150,851710541,919755601,196422947,819099367,849479766,221853201,282854892,774145641,112487324,126044274,787461569,112445786,476172515,443450430,508778771,5395576,772173898,21910541,124237776,180203760,314337557,744528824,637484454,8702526,562019173,173531669,347089809,321561942,704271528,965129958,527464356,465609029,883248213,41728750,273360639,149351226,686622141,842813077,512184982,18022676,833705669,39758546,472058205,182954011,944480471,599202214,411924464,722367505,477484445,88572130,996774307,908728271,955738218,322769162,158627028,473591086,995793318,631779904,245479192,278051091,371823437,566022223,457146103,535755660,448174498,280352182,68680985,730835832,135910580,387227277,875288473,443489763,872466314,923362864,598554013,409025615,353050524,257698493,18631209,900098477,651152100,364598234,915113325,478937968,961732421,406552237,964167033,203316272,974350904,523570237,401100451,438133214,470177957,686792903,155498072,738550700,753626332,853876646,750451198,962348170,826185480,734782443,560061063,575826394,823818562,717979669,84388530,951398669,883458798,226832531,620795519,92525922,108589328,843355577,650157608,520909801,655283859,305787552,375750882,28722234,605010248,449110059,447652199,793646031,563131306,971666324,652448576,376880295,788743601,735468533,31965161,310835020,838042887,925753086,960112390,545636609,483477384,761412924,647930495,422924217,534777769,357689055,362449103,680323028,830205766,590466975,961173972,659629864,577257930,181635739,723387461,614772090,114533602,224753571,798622135,665797216,469430367,888315891,137048142,387441032,791558534,158618858,724555995,829899136,118945686,408346658,66074953,836198994,200733677,990058841,977021988,645597388,432968258,602367819,70608267,85198549,429248497,515499713,264751801,829430041,247121299,560448993,335526998,552800864,56619218,126128790,333810257,834598653,673858949,917703774,490596899,597851871,949283412,375560421,852190511,110031150,777373336,573910543,623960704,317057846,761329138,898886450,586190734,368970180,93611430,49463570,584113656,48581324,498627749,625553709,337168010,635562267,827020488,366124443,269775528,996406510,121939195,155654252,945666556,653271735,703643132,375171106,344743950,32766206,220872711,847373337,77796023,851662626,690615951,165062786,285135414,47560482,232866427,600653309,610921009,946608452,370659752,299790833,556797077,317392431,728996921,882039312,812101131,541300161,91291937,989542177,397362663,973531403,585584450,981982480,316039418,662551037,226915103,203312039,143976765,701906082,444690820,802868661,396580790,479768532,131383596,371185447,879643865,130426830,260811502,448547222,922420153,383368891,758309537,40083386,785278508,617301368,535537491,117875822,193695507,124504197,990371664,49468839,707942762,256810044,593974449,233599970,31655224,904044611,906498658,617446460,625281483,89528403,53993303,926473334,814352834,654304568,648489131,737846091,738205639,296718864,44141185,650029042,902426598,866500627,129073753,321274121,246275242,441183119,565390718,705057017,402143260,755711259,765500561,974247985,232362235,945257581,573646992,675480090,48897954,966969220,539643045,125642860,967919172,177385483,264547766,448730589,733759180,100479216,962184608,449324466,527173438,620232651,1044952,874791617,799175430,898296760,220025969,747480294,828226551,659770121,985165667,916201836,227931653,770252648,93338716,72106530,663457739,891661893,178804041,412580526,973077257,650521984,316426544,853350714,907065887,705009272,316153240,992177255,992846158,771923063,900470907,493143686,243324252,24066574,202750130,40908373,313466710,803559886,481696294,686598392,892411813,450625766,470761109,113762999,246395466,352718947,647615773,947930311,140405987,341230165,782699586,395590923,897340652,276748572,159229100,563231986,306441809,951344915,963418938,858735686,284719727,25037538,39519376,328287270,669581793,340974699,408799646,237651490,499872735,391283659,188930278,14579922,436349321,39741399,219903454,316386652,790332018,496992050,470225844,392107810,542286639,683503552,332990074,501545268,797877595,851307077,191451209,593189406,976476183,918321591,340620296,558449182,302661099,582112417,844539054,352913972,853947180,681440402,480309828,312390779,784437523,845403649,915154630,41737835,418090345,906117797,349325996,610038593,724067955,356683495,993853901,462716332,148537044,73972169,55868155,203298394,906864604,916946577,815084987,353891572,906977314,782787956,938121265,133361503,472549069,652414305,974730419,426577822,692131182,216483115,33029046,512325951,762412000,550037408,250169400,482454718,924596609,295013073,252338038,495012452,895549135,748123400,816076489,994413346,781832298,951782049,317176914,430667904,191375258,447442954,365645416,393784330,181436151,713216279,980911505,504089297,65076019,732200793,74283652,489241661,969314584,31956688,842248434,812446840,368730011,448106162,847435078,549798870,912049413,324857159,204461086,97965855,864245858,946407091,786731601,187637036,638243015,547325436,819807071,470771042,240526815,659446570,253216426,529583416,544137363,678584562,262948389,813002202,193256116,709494303,818194550,321957140,158070998,401790555,632402171,405718294,234198655,449015725,494852498,434910352,612575771,196481955,417211510,52952574,244013989,304062532,479964333,846729316,362553474,428455502,905540917,466451311,690422856,347383216,686096120,166727250,372543626,803971123,413072049,744530051,312646817,651860642,315617765,198084912,929952566,676044212,990101537,846609042,869201595,491651700,691213736,177812976,496589603,3930285,142498882,351086654,711706061,513485816,209016986,198161565,318175126,358678168,813550908,791699733,512842910,761190592,731977554,101762387,37165904,563710129,360917323,771155987,91700843,333685346,210741277,351212133,894445529,990359789,415394517,709048551,389320136,897199670,424202332,902697222,635339264,213404382,342834996,730302689,367146097,841718042,4313027,806444681,940519228,979508489,773507913,599663776,967439090,629420342,108327119,35524987,82559623,717646284,805656152,123938029,751486783,89742755,346532241,375983428,362705648,656151728,848359521,960892428,40268492,724016588,311541664,924532927,315322301,46946254,880835131,725337175,233766344,747956046,770317769,933188723,946460600,864177419,202009922,272683751,996809314,404589018,505837882,400155825,764075525,500977568,304999105,54297704,308255967,437865517,593531618,895412304,780615091,68238547,892242202,383510860,835955153,288007681,290077607,725158530,991253866,293788780,499353262,276190170,164662264,814684918,761601858,797778622,176538697,485855967,242199137,922649146,863508678,978802026,327919610,26942222,748722068,124246020,250811278,72880381,586980827,920279872,743185684,440647170,115741740,276079905,957864927,774267402,81995601,432648533,662176181,963624365,947057721,654054611,531487020,719409054,384158510,579991564,199667250,776044571,987282549,649542720,37020691,295051253,846724699,359612190,10653281,637124217,234492826,540541846,578177177,517822507,378166291,867677699,958440377,965863764,610905036,584303209,778017021,240318797,967976383,248393477,673311159,535544123,508829646,947511145,440416839,398664266,775721188,17901182,928525010,822322956,76724319,623014478,941705693,693690529,799833328,288626941,121536345,29787496,23272066,913803437,148025489,506731940,330899927,936065945,185207104,81412404,583456663,92789617,794426427,554662868,914244242,641814454,563110357,521580857,796274956,17062014,453680425,825067718,701019445,488772760,166482561,845662949,790848412,607962624,926785143,100325840,845605469,536504365,172738902,950150836,157103574,624217053,972972993,229128307,890024802,99440111,655833077,272720878,8001316,386306681,459407657,206806525,41044464,504743238,681902765,551407904,822265562,119818230,554751426,872237620,80765587,526814195,496555341,362743275,360166747,362542046,354383497,210238766,949475353,116519027,18026523,141501759,15744217,483895806,220949684,91981485,745007573,816690628,197997175,679239484,178139322,17349598,283982061,969216171,27927395,908842560,55970964,66320655,493289383,51484036,852337796,461920546,609830269,706227887,755299913,316028802,575294921,237296973,646033459,954387313,462794767,938122610,291992001,179594118,398210788,572467529,383985280,522418100,272067301,214265724,64405836,716238503,326584263,959114841,623204110,957154855,882436799,564820758,404911711,948342613,562074516,187915643,797667724,286119742,568673987,199580791,927453448,820890341,631624447,411314520,30920346,155179461,350791222,503803958,192577269,481384043,686254086,559243539,813885471,555679068,613294239,955566132,921243835,555379746,771984614,619044282,970100264,631210990,652446036,581930927,331033046,987366180,330874759,962816051,710078737,459100782,998577944,109955824,603549286,452016882,248992001,907855893,777689396,220815425,402526451,971033199,147585342,269555788,834701407,16162240,546823124,630286757,337582940,349941940,154747071,119298487,915857289,190022260,561795271,553656373,642416680,319951043,675516184,946555758,266939045,144293774,316645655,436315339,424686353,509774882,549240197,202859084,133531691,393378295,481901600,368771988,117382665,810378115,506524290,690937952,747441025,386328964,832528737,342202166,37409419,559784531,385545445,717082393,506362074,118629356,662734406,132705240,354586972,69079272,985016754,488442277,861389226,616325334,586913331,897835779,487999350,696381688,634577099,627943557,768398396,368364344,159548776,368661906,729559801,652533871,847380326,537829281,820589246,735099440,546023179,770712513,195096214,51184676,621271140,77438003,882970418,85707975,806947528,253849811,21737272,584277278,105047871,778216078,457377967,367761904,811455424,897662859,896918474,953042559,354996489,6668198,712435861,313406227,281123611,872355882,344591957,387924436,435208021,284088565,757485750,428421091,479725110,435927011,249390634,828260862,352897681,691655779,612760446,557450231,802356457,150103935,731250212,621814512,901783826,759710384,62099085,497986814,228689319,693566725,821415287,609701179,320669350,901620111,740576246,892970886,669029416,282096076,695132706,614510480,378360626,413541925,724723496,94799794,983704806,778959870,773072900,645418474,172206643,496822157,187570827,636596108,433258131,693429919,488058061,305507874,518749294,504415133,935823450,864300094,563827653,702396493,320403650,153989627,870023628,279172692,362036116,843808498,754112598,835536626,662973361,926787260,978833465,370156026,642846463,612649586,242945524,324870280,389294411,91821006,659346231,568761778,577646570,668614049,610191416,801266223,147325505,202607579,235877965,521206449,18072391,491247920,964209704,871159144,787595859,470433385,666756521,111238272,906974373,619644987,943309867,971924635,682491172,610970958,816464478,551506153,380296301,845384560,777178168,627304729,180782487,257273385,604623722,549464867,742955570,140449242,169698540,939828557,850804295,874790260,312562046,239497357,668948721,673831269,505813233,854342981,848276653,78116846,969973819,187005413,884876445,786527118,755741896,975523179,861218223,72594163,856342236,955061670,71671901,593910759,969252391,962466252,38276276,633591851,846019485,23190085,342341451,612766864,445533771,265894038,537389916,166353085,70005218,863606089,589031221,482954853,39851757,471010607,169118392,467840606,230535089,384666057,84948039,566091314,733625701,243760688,435349717,967714962,645221178,463066682,562759383,525873423,19386117,725253617,292729873,918693485,859835812,787339212,135322753,699413896,875357017,175303933,873464431,300576286,626326142,397910744,323942517,300471274,915629920,21517828,804960766,791876703,120572867,873499367,473882044,987757669,282881450,95736448,421292146,714393695,548569995,376936567,492453765,480203167,958575214,349018917,904050928,163635792,913991929,975460601,184743683,736625113,283011688,150664529,641802421,497677548,162207721,468207625,617276271,971106208,255731169,37858198,418024471,865332320,64177044,536711568,721723407,547517058,427782311,513592727,176914790,953382157,434835583,503627301,120568472,823696867,79104825,625926819,606348074,921013876,928090699,703668918,741217763,648726166,459005552,193865966,639402930,391985929,449265012,918430314,247871683,526427781,721251751,575577921,635735967,160331015,233239742,414323421,405041892,423269481,198896906,794218155,189728460,870059533,472499936,305274527,723668632,955063944,444927978,671727165,845825536,661838267,702583072,128134689,581116945,578896201,719162822,864623712,637926046,649258254,101257691,882453998,131309609,179015066,545450681,514087456,110801357,312574922,95844684,974524591,842610944,451195769,637728200,837231725,994849953,115344083,200931877,693666554,998179997,943087158,653619255,584810700,270750505,35533163,350605234,824429397,700395125,610765952,522958969,250455713,546099478,732790117,806679854,370390324,703127494,605872653,664916820,697795677,109285000,12848291,532125980,930371759,249008428,504468020,554182561,152600045,762724492,521295193,886043211,276584874,545862236,341460909,939995827,421727484,238783037,603908067,148336664,924953064,413346826,472543538,550008973,440221293,713306025,690039055,347809902,132728802,290599296,366753108,520884267,577759492,570052878,58429172,875302319,824983291,603667506,685978649,153547422,695755808,278672294,778223620,702153480,154267155,802710558,834562236,572544908,820033270,707853596,929407866,423996964,638724431,799301883,445927712,256211254,45009795,964602840,614887086,473764531,837203556,780870684,198614492,457100505,118101105,495015067,404215164,405963468,879392327,125063008,337277397,776761253,387315726,43255347,289117850,429721568,833863090,222855094,733641616,28916669,654893178,915685612,790422521,938926337,711829846,786695410,199284649,106983614,785313535,56824911,666430714,229034434,867956206,705437038,311123410,578238881,625014416,520587004,28530274,799492901,519512425,354354371,359203934,514037109,579287066,40980093,798543539,86417691,623355981,381866757,922861308,878081616,504912285,660888746,118746150,576676168,206081698,507473097,584674059,290605157,491761076,299110119,9955174,275454371,392094021,93319559,223706189,580266070,908032828,438271143,428493344,708933469,20931259,745337821,52421785,610288959,71586602,989659869,342634610,706586853,631961315,48986496,312644007,29766387,834637363,931945956,460144696,332035306,786464081,519715711,140909116,599066810,525874842,71173980,407878913,211554331,636512351,520133172,873237549,195016256,976366731,99996747,67452709,913600950,257002624,909637757,567717873,189602049,885571169,498002808,168531706,226972467,582358104,952602958,957189485,120601339,647456831,118376096,822977980,140262582,478483929,34894687,952692666,92611159,339100333,587067700,694754188,499023511,398949014,194530494,503891134,590144570,886207477,447895591,456368129,959528930,33608168,389718730,808971229,300743435,868960284,885760553,510273656,112921352,778655718,647806864,456490073,624096489,646563031,448403357,929520491,891166314,609350543,728330103,278876507,725933572,100835178,657142542,450272937,719438672,665888034,737955839,222943908,884821469,985571424,855411249,62772463,996688002,475598332,79079839,904904146,62894403,633970161,993814930,990993344,924172907,972750798,113184466,135320443,359322552,104163950,742715925,879737918,378847336,274506204,832370787,991570048,519150075,478013526,88848534,969332950,37288029,696767609,571942006,675431001,389323006,617322853,790580784,388318327,532313247,907234407,798742378,609153752,146245811,130912812,272152077,479563218,354968638,345831936,589166114,268442094,994261268,460267230,299625075,985041278,969638247,467935713,911095004,494386141,564815076,601899392,991105543,269209594,420541135,338860761,97609409,197350252,320212008,538243644,900677213,392093095,229727661,290440207,945731494,264527472,314641158,201504846,712821515,397150366,271527131,382308257,293827215,677016548,495822352,742947971,819303177,821452071,401724294,71005403,682268247,610890273,591195824,865455197,776828260,141848417,500825731,480240463,634818064,640032449,191860491,428907065,318018757,817389079,359687806,573648856,533958869,740311800,820227601,86672685,22987391,749849501,341859539,818166859,70993488,707811098,89724463,115828962,749488545,151344794,230705064,530832728,517707839,647826881,859533781,883479686,845500091,704740477,581245383,386975655,779783744,395610082,272447383,204963666,399428703,911011983,152799301,283296552,951542196,702188635,326132295,3518524,772401578,914225041,380946398,514687327,146843590,491000627,999145088,922738654,452494896,190968935,885010551,601628037,943242211,502058206,615485575,763189649,899244519,624615923,84602775,894472852,282740949,24679282,296728458,171757072,786211783,400358269,736916675,915329710,601321199,438365468,573205988,697733728,79423685,174722553,810295102,423887149,726560267,701487460,854738798,361803767,917926019,382667243,16857553,770326447,766454410,925784730,874537095,422442738,789163678,518659278,555171414,137871610,812321722,787421783,114427480,608366963,475651937,259548850,11257041,105644045,31030178,200203792,626072257,881334152,741024777,246136840,485612512,290094502,785608395,364709515,111401157,448080266,848748527,202744637,406207528,951971976,196498792,219994638,430753246,41907921,50090755,507288974,851100191,150711034,185184434,363715005,208372238,442238695,184775073,330350084,120056672,911016541,590098192,292211370,945864024,595006327,717549070,453423086,468229912,510094179,376925322,801382017,716185894,866452845,582785185,937305364,917679636,675396144,419710425,203832656,964444087,978169792,531013164,433446551,243074267,555600441,326626753,676174870,894295117,87113997,530887097,565402930,808346054,731390034,979424833,945717731,440783878,14531218,755145220,397246327,120678701,491372993,921306915,173281061,830988627,695978989,846905594,721145678,510756224,467272661,769762270,523636362,673605071,641043672,590034667,772854796,938943598,547426985,254491766,501178618,177416255,825361164,34815177,449638180,174911001,501447468,512828912,341285144,344359783,576074197,913849585,207899745,720944505,666483169,267852718,25184021,72214146,913460738,716315843,582704602,139527057,194090549,667803162,976906640,335051167,817145750,861104511,190788338,568443359,793546061,67955850,645797138,297456168,462934768,528562812,790199250,958239958,575191807,858772587,30848023,698502171,668299072,165842207,845955454,912517236,383700310,865379880,507401442,438831369,761926130,818389257,287294174,87140657,51031261,554711503,101929939,29117506,554037463,807331168,668692818,18987664,807178993,257773416,858874415,907912829,68353,376100604,36135161,205399011,794573956,132655420,929044057,103484174,264933920,241963438,390128691,131727401,891818842,380653782,424036044,750689140,313280798,159118049,767204834,316241615,288378557,743423444,588801799,41574277,716344635,955069987,83979304,931847016,382153601,407517223,486743294,313929828,871591406,946712695,287892013,988656924,517690992,92470230,327528683,778976042,746690211,785948116,306413103,579966325,74269445,681277427,967012008,451371480,671029794,320073901,522310164,476177866,726815925,676188664,962201388,394948713,40819039,555469125,244769131,773174749,682308862,363034845,380280564,818714433,909003905,497634380,255580416,197230403,382868310,708344239,597555315,727419602,173559312,719483213,478438391,865806353,813666220,619905416,185710089,464344289,508100892,421434456,861675336,882066241,518005474,207866915,902107627,470228399,876344503,284327746,276995605,807950067,157278841,797490110,4318800,979706900,975161979,108085643,683530388,619727982,125393545,269000322,146545772,93321641,966940616,610229022,552020660,967631481,508325585,828406570,854437374,587553575,603566518,691648842,425491557,924610976,846353104,754913294,789764036,403013936,571715756,66521120,305571473,816554478,639773753,27330548,607821141,599756211,759617660,47933479,617397433,270978467,592437766,189464596,900039752,387842213,616195169,509392946,528987973,502224993,761059692,756699584,685902791,992268991,41870877,632578205,262155416,257478846,558436028,971893265,750985053,774569189,735338571,625886341,120948397,652204704,351926629,57787725,781755630,852095836,631986123,468418515,622166523,121175670,618256315,795064942,62391244,75052207,330593728,774438442,901635317,995728790,35449154,977756089,102222121,536299436,540336919,665274156,275895242,435190332,720410208,51516113,107847961,617865613,603041039,97554505,449853057,992863026,840853492,287108516,804613569,536006520,772405165,620211195,232413628,128811559,122881008,991376475,875267741,532113662,321693338,975641371,828848217,518673573,650212667,950702252,866785110,902089554,923694752,421682746,444991769,780386297,568398661,760846942,669726259,424324973,890220435,989005638,951243561,571152291,640320153,129189337,879292177,758013977,118523487,947449045,641568029,926562039,538009004,738974908,389545399,975850450,478549053,885570328,919903061,548839221,596395846,679356941,528544934,664668733,701827492,117556191,179941844,433181650,774470648,30854782,290528406,468734480,712337616,772616748,215428280,99089571,515908312,406120275,207769475,33563275,406690076,113820851,891849259,609173176,75147826,140291627,326972887,769256361,681967320,276629243,286826516,64950423,269008316,809590292,850939526,58235649,614939252,424457157,647537659,358164984,259016052,303516427,785984454,601184931,106030312,5998727,524504942,812721732,461157005,178354396,152409885,516128535,430199091,168784559,662354451,655147867,408356280,187876856,333515959,601742036,610390451,196384652,117989949,650953252,319813300,23505050,304530196,313942510,485769893,830218644,231045314,619542891,437965636,44142073,930451503,187993125,828840567,914262260,213381201,733082963,858152055,15830047,71270292,220377931,40124663,849009757,819907193,791092435,939876008,65465234,933036655,414625652,450827207,656416985,13444627,598078943,677025309,361089149,752988884,834009648,861506231,770689207,884130674,177224345,126612580,789658899,197956090,915432131,567012012,625435560,39745947,113233257,216878086,764194283,997352143,992561115,413179692,741821098,72198651,845618824,137099838,152133575,981003388,545338440,188568305,41850756,84836088,485289799,256649750,815859077,68143914,698307063,341770448,831413786,624812339,839594974,54603881,827342920,371916940,64291861,272802423,595917184,744552636,145634024,525806521,273973587,25103711,357701569,980437449,11070297,517708261,321408826,673471887,987678893,678824354,180931897,462753148,166585117,291764414,312377805,643609168,699621565,603420805,674729788,998413532,33125482,608908312,789750750,589034474,415906930,118897538,586005049,943865621,221449237,234385985,619537389,1186247,748847028,926973788,397884075,7631353,470189532,790612651,662590249,61841815,102404571,951719831,493833038,928184439,443559631,582039032,537321667,561701442,352735562,352281458,561924203,280540477,146829736,963498014,240636694,131357028,305241902,822732649,994638145,332115396,667609932,450752317,120435524,707879740,140088111,397844865,477290642,60185019,81319104,945057898,904560343,21211633,189105354,419211917,658739095,893774394,333034316,513776832,982939692,297688013,366356244,837697635,385102842,136481595,133364596,341798919,519790827,486874168,968104306,193761680,616547434,149414574,503670303,200884236,22111753,111156035,672306792,924894651,326363250,592093242,439239193,299249244,769820040,457033942,412266044,599768636,881067733,664392363,744229233,783673056,522971663,228860040,346009862,477608503,979729505,877812343,472043434,633095925,156513369,30062947,93285489,193316791,810704334,118258351,657248994,563149132,481417454,747715626,823544454,914145156,691603228,513384532,832889769,125946987,475227931,323210055,88918569,687479879,188136847,609867159,771171326,192609276,218324003,635857258,830657881,420054612,659122980,871737936,803841644,429712012,456911862,575360313,474394394,259342497,777085595,554873611,72962591,624853492,130894031,265773281,335423979,822523384,852360455,327410962,970159470,396262082,559115473,779473230,957412248,186592317,713599983,178937507,632714033,226757799,361460316,133814744,318035156,234564798,292069194,903468572,640668711,294600696,762345603,233738339,761018882,288143083,871731021,773927439,284535941,933853741,34432855,938049524,558738492,819107606,220280890,895246359,78828891,743247843,188567307,19833054,744596923,171180871,453784529,218020953,249620197,816791359,324420951,636927373,19054373,868174598,4355293,641901100,765856767,826232190,615251323,970684552,317949202,601216717,731741473,154589951,838303922,953724917,726742331,577700610,896925714,280269018,114304879,910803962,375596911,629852087,587446813,38935200,489862645,579644669,12283158,182627015,55840171,423769604,480578028,903644510,804091518,283620714,657356463,978530664,82336603,993304068,324122030,454509334,19895682,95719307,661256154,876394318,646208499,661968105,323498608,946548248,789816041,197474453,558898719,442635269,200139859,530812448,158576940,107653415,758942285,22710561,927179081,180345622,95202538,741789352,53378518,212105777,891065864,793237648,584039370,140370585,444473979,832823310,736340801,141431900,684251461,737884440,64600103,67493804,316947288,36127328,422846580,254806306,959974242,363084500,275016657,774677510,272530965,221088930,451929653,648398410,966212964,26514894,700054519,564060002,173154949,548896317,518853891,729528925,68639878,120838831,79695456,199013502,672718369,746464966,445915479,328105355,317515236,155510639,370953136,244418330,155775032,492062139,791604821,836361670,684943906,132293828,472738961,956607402,763133326,987520991,556938279,818308314,28933877,683792694,90657377,850189010,498898825,79206298,141403914,319375102,706272799,94896082,560374497,122825253,434254997,859064159,81524346,557043698,551688060,222762730,390892170,530719797,993640707,372561442,29421243,911054073,239218148,637355454,233682680,872032393,276706807,53544508,299315427,958134144,543418959,674184203,112014589,705022222,488743945,398360412,678835383,951879122,725768319,936183593,208857879,626302446,612272487,259795790,91089748,898979919,580266391,864820321,232922327,208846404,160817685,266315228,540523620,670384726,636421928,644561734,137590652,314421670,636809183,341291561,912864361,909035092,874725509,167396857,388937965,674225805,129443234,277501519,45687734,44804509,125744423,993152338,200780290,906659590,830761169,790566273,573912290,686982357,19702721,923276430,149632289,935500406,929691314,665773647,531790934,232851863,66213004,118340452,991017212,317358342,27956076,13221345,722612922,860850509,801955404,765265641,352886477,458462487,846411042,728413619,586491435,672498905,57657946,101828401,452917513,385957775,801297834,695327033,869245891,700454700,51270968,253608342,976897813,802284854,565513441,795363854,486709571,747292926,981950132,640455566,390422546,497852234,622592028,540218103,824887535,990218735,220076724,378928853,164268993,963462847,338301145,710065694,402185533,838763933,79744760,494361190,769798700,164005068,750199638,269746755,73842374,603921487,310664487,567517584,347681186,189504983,643868484,709403032,828820041,194735467,733367762,184887149,477372069,299675960,8395370,382433302,951552110,590678861,79736603,74348035,119686723,395283306,555304268,818358750,414511910,787750678,617950923,939761953,197890299,301290470,525957913,396360155,35399970,952798086,229542092,857788948,79937065,128834332,433649424,434552019,744753323,561411632,750224422,260224890,485434863,489915407,228002011,96170397,629148245,701504531,271199076,441768933,180546012,586874693,835613994,381225573,334856528,971472027,993979985,765012803,186741209,267675016,375423615,344462019,945720107,477099813,390480024,827151220,881236429,92694358,39222831,318843096,94939668,218005496,995327216,350509376,179925556,547187468,593585828,108462428,864505417,123803778,537407147,902546594,426357508,595603850,67493906,685464778,805734498,29267652,479914180,300808718,516732131,207787285,338333397,230992269,181632445,239965700,652089195,711660289,732537723,855328161,846496804,39567455,987601267,753259347,856128157,981658469,539032052,578720581,366695758,523439258,192537769,582806534,249448233,398800722,11904593,744753035,277834366,277865664,640915789,409827550,480624867,609199377,259918069,778018804,192594720,550083197,459102990,620972998,710971277,569069792,598425016,369472302,370395730,320248429,482728948,192468496,914458993,9448055,832636262,898183483,800795616,942917201,4171502,675058863,518298336,270953523,692933140,962958126,247754802,185611670,665355487,35326058,196567445,503295848,535368318,713870620,478393132,781202959,26932171,404173774,204331621,313197734,634064940,273637417,282415107,827912513,109472962,522836548,693224464,38963521,619693818,520992177,37552929,680292682,972624794,287322258,147238666,321437383,696327606,758818367,160016805,878925869,12232036,844254493,756327217,495109781,718539194,246368887,365815947,108668320,546530911,491436539,54860055,775855580,226825588,677154762,168226368,194776602,941362910,642540889,39026546,260070523,262362690,76662964,631651786,227657016,378186487,229236878,989379242,100917755,236384820,718486526,98491189,526679650,995479748,830769638,35052012,193365688,928948818,312013173,366819567,430026728,441858553,220322598,175797784,40192402,850835732,764103479,13976796,745377364,267069685,885060478,142932452,24981134,713758849,425227132,417418718,24979809,144916300,541183748,302538632,249791451,149887997,791852479,250211025,454652053,396037901,408639631,627742012,446095105,914119014,661316897,376249992,471397889,961580133,797649882,832328157,404357179,95927791,507276151,635029975,840460466,344025028,557406477,566976025,553558909,189784698,885377587,785833439,963143788,835949268,837171578,837423977,229858130,375827991,639086375,673938889,801036245,603150999,859533376,303693909,165750742,101736101,44962066,812183820,20034004,565676334,486500422,690784690,430908764,538504407,565550800,261329427,400867259,140344272,954963531,814216125,854893105,708493273,309518176,325039017,392223151,149890151,2570484,77396348,112383121,67587523,189606719,984286081,10166760,690285657,169310679,714521256,158809663,522340591,52186408,430506517,987408567,87113233,211123549,185813879,158283034,928075430,945123210,500851468,317679964,837704647,364615168,388497501,129241941,120158914,868595154,552526683,758938460,504245792,818237080,245788574,453509523,879584038,468810754,743811965,219249841,247350374,889753066,695800277,343905504,879294432,203697904,168219166,597661349,661033502,747619395,425538637,952013166,737783239,64076401,225877397,645018837,470710533,30345458,604724824,514154450,179065553,559238074,184571933,921495981,851729940,852213070,387918754,295228856,113748673,642756948,404121794,863041410,30895111,433582645,600631810,726972432,961953308,372259151,992163604,469363729,544273752,246564363,385234583,441290501,353763655,646584852,520957923,509088399,697769596,107512710,4353361,844157934,980590015,914136245,109198922,413173019,234614725,949018194,281787570,664332680,46659825,955705176,396404341,714363253,756514237,370869913,198185134,524712743,562167593,706474033,692673683,3809732,139830304,76213547,598174536,578784211,175345233,618963870,507984877,82378147,609994887,654865785,552906786,84050059,406153845,232576594,356103228,881031056,597717047,951336685,653059834,537505788,592946598,863313224,462700394,7565974,343277152,592645386,686038530,316418660,42996242,9544842,642464432,391747474,755309845,969359652,419591220,586192161,78992214,805986613,79730069,208597993,918611715,731757659,18826634,682042033,232716276,396031720,442476755,298880666,261047211,339889354,977439183,391157391,514563260,857666421,738865380,20010223,643077257,424662836,186173674,531908674,725421607,143866119,616830440,706274011,684212741,481249652,82076646,615961498,603619087,905454447,446357941,538427833,552945206,635370511,449884311,881629174,133868731,73319731,816768317,318225939,925045668,364365329,352874125,705448270,832345397,161884488,752991258,643223666,479447742,392808097,568145029,236564792,563145363,11329162,559998455,42620340,636917042,719262629,840578500,865164398,738510658,976784572,949309453,554113214,453351499,367772228,453494929,533259073,242062533,798294018,943075740,923180172,83939874,568960024,262031770,782220365,120180219,197144870,64152971,286540757,450966864,469826834,99317822,712705642,212853978,438061544,758011841,964545783,132561705,653980767,116042332,137792445,249676313,430785599,704223678,553477108,151752306,441922834,650473712,464364956,258429454,498005470,717061498,451978027,178490485,177951319,890135395,751590851,104446103,424704730,800268132,301414623,74394557,320262203,85469201,993202095,116676482,900417322,702319285,30570004,899554061,255572462,506014628,163532454,380831154,560198201,499231663,507143444,845662777,907027900,138931338,949806221,943769827,2215736,46251876,265765753,181135357,279941595,941179821,680561721,276131264,701635187,830568200,353128576,787489156,434323776,690788099,516280199,401746661,225390782,502213851,179692106,177258320,240766205,700086171,416523754,698553501,716007063,757476010,848256624,501024685,351017168,154424179,246356860,260450513,473867065,605971045,117848904,549608083,580437695,346687622,600824136,98200822,383148975,495291782,950988198,440667096,936190536,263662692,63976438,413731032,619267232,161865296,213801117,117814333,127553413,84077516,91787324,496779700,645084222,649752779,811877646,663949324,851837808,234264807,91544456,844165891,625508050,570001941,438685626,166151797,270611031,332019547,520211793,931438959,623793356,828576109,158931910,301086302,304624790,898976137,372475286,414998854,76392194,10942261,364804524,441096066,686718398,530138060,643042677,119856675,714395309,541344147,835831009,818553871,759409935,901041597,580490511,215116515,635850396,225158471,355850010,197658166,994010128,901611050,932090294,853886988,836009001,524090586,947234119,240267261,133484838,28553568,481248819,773823019,191506014,403878365,812342991,510446725,904172864,497303236,835549880,329273473,488602634,653834526,862666660,678105687,747480123,704765712,176726391,594735329,99126988,995329288,127828418,889169528,668889775,213081280,503982235,706708564,383441555,843852229,606104326,131256033,820404179,598403048,247583281,127339108,480251154,322927581,301723581,577295697,387665408,514942445,643216778,620869848,320750514,416484105,270791965,545472196,68129122,75267416,604055789,540910528,624866329,278088262,243841847,490716496,711533028,481946100,343911717,620439055,623832419,297267067,469038279,529927368,436585049,11833712,909982202,34258174,781700027,998665674,916021165,561839542,795864534,204750891,323214477,109227457,154098434,973449834,709356569,102676052,516217777,428886172,399369504,396035960,203623029,972093729,612430394,157282376,932588183,162156887,990154848,951852142,993162758,576253483,377961583,836965452,880023393,407489308,299540337,715701703,493016707,169987259,663646179,991747035,285966290,10881209,772726364,641075907,86610868,557725688,605000267,629609703,792030202,455585075,894841517,84867395,210497120,741696959,699715395,216307811,813273782,844125448,711432853,633480656,203545259,851135107,191160871,238186113,146273760,830123087,210204497,221851671,161074474,95102110,73398792,928805988,514041827,24322366,663909456,766390133,648073226,977715558,555466006,583066138,960107037,705858356,666770994,510721632,401444617,985344089,799915986,238989421,334312224,579003280,302286652,324524132,632520334,968144398,373132975,736127038,222602236,637863014,490958763,411682425,17203469,910858608,158670465,424598627,49331288,359767119,764806687,923262066,653991990,552449857,733903788,346404766,616817445,47838526,505961833,573074891,471554243,94123104,975392695,828700141,135253167,796258830,438811860,515451624,118734845,900296449,602881408,268991915,124542697,412433960,674133797,132905421,68634910,831201318,771853253,396633937,681971950,571952729,653920920,264232443,580300737,893917714,610777815,567083691,388705789,295387620,840648817,184936010,183745879,287055169,806197083,217635225,149883758,902963958,846785923,610350938,617197787,945803497,136861863,169161890,677975882,164624755,944044242,19957543,415490198,57393653,36715982,187497999,45111075,773853478,387154395,360360043,862195284,274977725,793492618,540575745,614592397,680486457,214479731,386528898,541677081,809936681,819008354,962126081,452209925,181351338,52892756,13239811,195175480,480412762,198047708,528466123,372411232,334592616,116281014,736125436,378555733,718676610,592941640,783917350,351998632,409903652,347660969,360571244,432794553,347056994,880076961,487749705,736609564,117775326,171628051,229799048,903381983,207526193,962612091,168899183,901788689,20427632,790541102,64875282,955855478,279699666,453410097,942480367,13325360,74420330,349060571,772683833,41449642,823383302,913903426,613203541,292779263,82245702,243572727,410688660,690454579,799154124,636959621,693333011,775309748,544538918,465911795,765535514,251901606,68253403,431237621,245557824,459316181,48023858,837930112,490725934,175665848,138239139,465252079,784999450,124160056,499610538,890691613,407589373,982146128,977752063,717271824,325677793,450896648,736488361,151056058,774963882,743115104,551403587,515423005,743911425,264563126,345228446,768733669,134291634,474457333,199802475,88158068,125853859,52136069,762301200,220702050,205736246,957710731,20753311,564530552,351922182,721206805,28972260,27710003,143360620,223744362,43906062,955513832,627038753,684329395,631869437,481393996,784587928,114535721,42100020,996456818,84694922,511018722,751206815,761067864,137600225,641111775,400462674,644787699,78924879,772419901,554237771,16846428,133411773,901394943,428591606,956403709,255620889,881209329,370536613,198051165,277835584,659144067,573423225,388248920,156312078,512999248,974642168,251222922,401449876,159806322,300767581,666871082,276530176,716573734,765561623,569161374,601834360,457970240,579941788,326580683,611670511,570015466,103589576,946169793,877053449,69370152,457304011,487634334,834295614,576839857,289466357,320427266,199675035,865842682,429652539,131074329,408875583,910387522,674069750,400107824,319442724,368652077,450603056,830764752,954252778,24031500,441792651,510337389,413014851,636685711,129555466,123373630,329737764,128732386,815366321,343374037,927129943,999170480,968164889,216382601,748043076,387492577,8063183,296266172,680623209,24161058,282181252,281976918,579580250,212833724,896386102,995161250,566258261,691615447,480178041,39586125,373238458,508059739,781040367,550279180,422969400,543006975,748756858,567076719,678360527,140170588,112767940,227563285,113638687,622873816,958564901,753791160,130425324,491039529,515134871,953446970,196652335,589391880,238761621,415772145,989401531,202073237,269687991,129947736,803878448,224511488,417423467,287303952,347286334,19666399,83864368,305009071,180263335,352668175,940888133,40675742,391780588,730928961,45264729,83617232,622678347,388182741,220801017,720535036,858195298,843312639,720679688,404606474,813793448,242656828,257221449,225263107,437151647,411881457,149706878,935498664,509761742,416589282,466429163,769381155,801997049,670418798,388386899,239043019,670692938,17779286,297338382,426407054,755178739,511157187,472906658,227303399,49674400,947414049,865783845,485591260,134576867,387586533,644470902,431048116,624265729,249109634,546290953,253433909,801376376,135987271,586879582,959656145,674200929,228201336,270785441,718704730,977039153,581670109,113875927,170847349,59547601,366351226,221462984,585360363,126246280,235047700,931978651,442385841,162490578,952617196,685655094,219379367,877964270,435883276,343593856,579458336,485107287,467181057,855665851,622149699,144791767,389935856,963362813,779131582,262828637,744343257,259042338,409929870,27463721,857614525,82170948,818887213,581145712,512442982,780653576,336936456,711793705,223200541,917524747,896910889,456450958,559101853,41199592,992446983,61184599,891313776,851136312,244399950,604280468,43129417,995337511,929130644,510115821,688828446,514158360,450314739,944869097,741251405,345398748,203899644,262453607,738877944,866266807,830825942,224065317,105020451,648412507,578190951,769636679,119071975,662422710,426164714,896102292,164860890,660360786,449482159,69947533,182212349,786506934,180900931,576930655,124362633,967465459,330041432,866043221,865500053,617563979,521516916,820809715,560538033,135649780,187751347,42310637,334763517,868157714,509671104,830154079,618022753,415627848,591726002,758407230,901167863,633618370,678201739,56720346,115689859,496826585,77974404,362696755,454370218,876137937,142556136,106089455,494117574,990871721,238158684,602007626,680810727,434662778,243808095,872203783,769805938,831052391,587106998,860166301,954345842,715542816,394000284,355675601,938401490,756963813,853077077,865264478,648603052,126692884,932218680,499605822,229487579,654857550,985425690,10724738,276811695,114947550,255923816,828721179,27216823,896690071,845970283,132657655,819198057,512479940,785436270,329167001,941262374,128236649,573170189,802845498,295009653,975167420,98135176,495201121,782752340,755799155,491065156,724469591,160599318,340215728,601092889,577843146,961966636,957205065,990169838,537959348,11612887,868186087,494604457,825666729,831777830,718412307,281755422,285271244,621642724,28552566,302018296,346794233,49618988,540897688,999356371,551308293,559293890,12844526,323880327,223564946,480215833,977244387,332881858,504240733,69078041,787734876,929822382,540957424,613615999,253609112,373826709,821468723,13749677,411366717,61577722,917737449,613228729,51114877,195397056,904188602,314135597,256327164,742182598,128189753,784471324,151028590,819791037,125121737,670106091,200267500,582098134,451128162,679993500,618174473,413276923,904864464,986498563,855830764,993218996,896467589,49984081,52890843,985408948,616151139,347950453,496060071,726543190,367472925,642263748,246497331,859685627,443491024,530737175,554145289,64284170,506393850,904673227,539339407,657919107,391777029,604242305,352129750,567645060,249091623,10920858,171940620,147819116,737814263,425568189,160210012,370335974,939803904,157837801,341913530,562763206,514188755,179849911,234163298,401256952,497116443,853686616,715279776,562928190,501162838,973989916,94088193,776711738,234318552,207846253,822616858,610266342,611041831,392711278,278213824,360777707,421842259,731241480,381976156,805763914,536749486,995929491,727855293,680077144,322194363,584584774,687501290,753199803,295218307,613572807,415442471,346245760,635292526,929931245,677645222,255646696,853111716,869110745,681244073,707863195,719935020,170070552,445712741,603368423,478656808,109199408,273269459,112034796,202495675,900009426,897386616,166292266,760855832,269006687,350203518,892493590,581403191,133115286,196970394,67208859,20895082,802587039,559784329,58232541,740283967,569161574,171566233,649260580,686409143,80509102,982351066,756005477,426015499,152288189,844021452,233671790,568674414,705966211,762784458,411796085,660834650,106660923,856357025,176632510,135497634,705294756,678143016,410081204,343469639,956883004,946833604,978049024,271338832,63285654,781751320,408883740,299782378,827816470,390967301,632309601,172327129,400236993,669793567,594358469,828832935,560348474,680432968,992538625,580106584,987477635,91352903,113817334,425905169,5653723,335592971,588135826,592940579,666667994,664088827,164324478,850008884,825729234,519811043,92006825,852420820,863721517,376603663,690434479,464782046,408435957,410076310,338495811,489271809,386145061,911776722,638434646,422353554,868841015,724580266,125907457,374837418,432785441,710424478,607439367,891399258,564675560,463930190,516043139,140634698,702682662,383077777,994197459,577236444,24068696,443869467,851456881,102680463,847931820,337042514,837031926,449968828,964609093,516117737,286941482,315552200,260913442,240655364,357835023,270122746,753464219,485731944,379260874,318064609,383026285,868791314,538794102,65776310,456507716,630318141,821749620,167427153,93048447,599408023,628216022,856626963,594304974,225072422,196987752,533896419,609144113,215422242,610416008,266486218,755165418,5588754,231084245,568783318,21760100,539772731,488989953,807191208,441198968,79166961,682344576,920874900,589886139,238946485,92701937,675021849,138188763,341554781,695630531,395579009,184090111,796722307,423905079,422644276,400353212,531181971,654947221,933331765,827287279,65953194,612137667,973975366,798377496,796048626,531447863,452261119,613202164,405945685,10768147,722264958,699967470,71196800,990273415,128104298,1572187,515484266,610907566,782502411,90041948,825266799,893689556,515354570,342078763,449937545,46788300,861384705,303644837,885858797,269047819,902492503,989784050,519012518,281685760,555853639,470795634,868702884,673481741,794973254,287187283,943280008,468439656,909599894,661092171,254121163,779225894,943947176,283135024,67542385,575081536,942400443,616103746,315264446,691245394,338765418,137392063,636714171,20742275,995482811,714270265,322940278,443839245,473931811,788983174,38511774,830262468,331502938,269736134,408612195,540769439,192165215,834113119,244589851,145004240,159187470,308416803,721038751,343015873,187278969,120578709,123453538,723929131,620938676,513423445,366545173,851100840,621427579,591865265,732891744,911635391,504657794,58146358,164737614,589526357,642411959,651820696,441501203,637106038,743793969,453307334,350327729,127529889,615521578,849842294,817072478,915440095,915563969,825798927,402915594,490641805,167457644,779031114,652959876,804992988,952977433,85826132,390335419,878555126,94106321,745667577,34070933,374438161,44552877,828935426,338114805,878905387,630196847,375650837,871288654,249628253,545675790,724260007,336614169,887648051,938953924,625724786,264448121,684029257,42731856,374024472,462460815,960597604,529835600,811144546,101648796,221582373,920543121,992634067,765449221,488362980,973315534,754584342,403655422,73020675,557887432,441708121,492233411,163047537,172823869,740713513,858680134,904597207,647230726,801804459,170743948,623846328,945051053,293709287,860723153,821292002,367822775,357843361,988234544,717761181,552859133,459818045,70414324,764625989,994660554,42457691,840115939,808752244,541396746,896248129,592444475,248802462,748307470,439783499,234642317,788640870,806063173,693323916,622956645,618331006,868382260,286735363,807452734,1831494,322175432,850358136,329771940,555357211,929364831,92271618,674502065,595080169,101648602,13692461,497376562,620798169,189312659,911448371,556063568,120485134,510864467,78599572,304043834,183408810,647152556,18582163,535397348,451877312,524303195,868238743,514247367,491921841,478987176,185089922,217882113,32154029,32645372,800168654,934941351,631765803,958833826,151128701,416507191,351424902,95976518,883379285,77454540,90522610,679638838,103816421,63693020,962122852,987055622,926360872,20774208,88699291,136109667,263104216,842969579,687452202,717966806,153686592,268752329,798632545,887611084,375968202,201387705,445333263,379971413,835221660,471428513,698194025,537166645,671246018,551999051,670385784,520067201,18254184,649611376,128601041,983389510,848108113,669402525,802408807,892717655,357844880,221175636,719960826,594868980,839371547,71482749,882682265,731491298,961802294,649473451,944500387,96698705,915752940,765778814,335203419,800969379,990018191,28869862,901944668,946148335,511877469,806225446,504945117,618041703,168106989,170224202,848004333,42630905,369316596,412867520,402788439,930143793,560205078,516097110,47310991,458717047,434761447,217986867,405158407,482483810,501229557,82557542,705132434,297499464,103847,654922936,370748456,612793768,177408662,902803209,662829086,107453472,587812063,296258828,137950578,873010851,662183253,396362085,484813478,6389232,864615027,920068008,177505851,574821480,783077735,274489798,258333936,186907087,66377494,237098834,790585734,399854894,156959830,978882095,205818092,706267974,259471569,156040394,995800449,362379418,518865430,492673552,173510066,926502002,4850915,678104611,348386618,351606762,271564106,5230826,473912173,640971245,586297108,410596950,522066239,254967840,641918835,455260747,41235756,27065300,96371202,382763078,130898242,604855435,292160718,66467040,324634475,200561726,44879055,696172916,339079082,158449969,803807586,472309279,99604716,49342924,415150489,920757689,75316062,854360838,136671167,341310932,357849806,334886161,218642234,274123715,871124150,750309254,468258313,348104506,975412421,582302809,130366616,567857022,25609836,308055698,326509327,493409306,130125066,846887654,608602476,863190692,466729366,120056417,466191554,841223939,467004459,207721624,778454369,109333349,122822652,110815381,474180055,629936199,13631685,77688366,931945301,444661141,413592969,546423107,861402383,280076997,788446543,717791870,661796783,964001009,150686025,250484406,731330428,425811355,118810566,387511142,953929342,276955634,979606099,470545853,211437355,837683813,120883545,755900811,309828152,338658307,837855228,377094933,592019364,623395790,106261809,668227238,963733491,665449596,140006078,732584940,502817284,734468190,922176775,633127270,832736107,954896342,105491157,47536256,509811800,436310101,225400667,999059131,206495121,270530629,924285803,469558477,972024392,638826172,307803688,210609981,889363455,513151769,630428280,545087571,564133366,884009262,530783328,448454371,272826122,524477482,883786649,974148297,221000849,212535749,996295367,922943409,893235409,375847468,931517217,140579008,118701344,904183613,805741520,573446906,198563486,709297168,714658062,371744454,141712512,273582577,537344754,816487291,805407665,111128174,864897705,313285897,143080484,600159709,260411502,851937049,578864434,6987509,180899473,864261480,397152742,44096061,901685908,634961620,538402591,348079279,793434643,559315147,399616382,806241820,96275679,95340678,854970309,563755062,730772090,19057344,202907651,367854990,748368019,548446243,703117609,893964082,916648413,757179633,362508502,411022593,702221998,289555465,236577127,761230317,90864142,804424730,231830773,404013701,21575411,828103781,132770371,250520445,551820924,445225982,963232197,704207618,155925033,563574677,394173729,590113805,513000087,72493086,399943929,232786968,233020745,146366806,509333756,67712378,865656825,787499691,718316945,170012044,178561215,6187717,989304521,617851954,592617357,647125336,39831771,191699611,964679545,512266591,890080878,29845027,80599519,627792001,168253028,471082912,516187306,555380899,761264117,562107546,603081773,759706778,953253095,252695570,442133684,291538349,616034323,555101288,116154759,655494341,987306407,167398405,313805093,125812564,804025166,119146628,921524933,415106267,699450195,585063801,105083187,103179993,831701738,65083527,890501606,723257832,403128265,675513398,928693681,234489942,493192486,644951015,958511751,91780026,492836745,516017701,991411105,502159308,65573484,736073705,83721630,554854396,615801963,830254765,419287575,71531643,145316977,5953234,984878428,5958478,767653192,69765561,866064157,100517817,436374222,744213392,850703306,459063239,490834774,218074655,503919010,524498853,163217401,872622980,738972266,508919929,185597033,476230551,187015624,359589679,719062191,204114833,210005049,532287004,745617921,205174414,654135254,143389168,143285918,745897274,91574410,740070416,806813654,959960762,534474811,324130264,433955674,83743968,115798870,204170071,911124473,992782490,397584727,289140431,90796386,981917511,613310810,368287370,655603775,212147659,831478867,527522006,347563522,952813334,832555491,143823113,778976664,507048630,991650215,834794626,957383415,538741353,669599669,721949440,928924344,820412715,359648348,296980747,296673781,203557231,750500086,95116466,978943620,742488043,193181395,66125604,724838871,892093404,323385064,775202645,578364831,790949704,132007904,651991843,27566159,870865814,696317730,825459777,620613373,660498274,485347967,179014980,479992519,438968610,165947377,547586057,717331785,778015918,739824756,888033091,308660753,292734602,349437478,896487128,585556918,4368643,112781041,519006896,349617809,746075483,869917694,248999853,878942712,34818780,8924499,389585497,14700458,713822251,413800940,859187465,730870497,309343405,903951097,299654501,35485800,386793394,500223649,592355845,171340083,194991175,263702661,547326774,342037025,700663182,640643752,755106537,64606153,912998415,541057818,821272097,522618014,635077119,406335705,169482339,577754541,547028214,566091516,927377676,434033893,841352554,776912461,617050551,704057162,777563926,767343073,579237171,200863035,266654105,931091602,848858707,58435277,476417496,361746404,873355723,230143981,595575387,247833505,480280841,853821754,870371100,118631591,801864093,393806780,201074315,95559659,92043410,690653170,29021302,318247683,685319881,936472164,395170668,494974680,469956961,135699347,284917338,662010360,223443770,736287867,533246416,875085386,750705677,948066842,342707089,945349979,464687976,645089433,254388690,229526915,19702356,449160710,147532796,80072934,550537863,359451834,268987766,742869714,716877429,901844286,71328464,724476869,739466572,125183006,63895764,938593885,869924595,481397714,648544074,179444622,737795986,286060192,819523374,615922312,242161826,164548247,415488641,734277622,736771957,176281113,868769390,160241353,123799421,983039895,468842361,745879856,212445169,986841578,193466893,68645512,215707719,62587197,781977045,104875318,104002903,356742139,179133845,595886651,940331889,752356316,793360406,466691149,283641502,481017365,882357875,259596164,578780503,802830518,331586276,105805103,86762051,770236173,856117112,797768968,521083311,368017840,307064337,202528900,153212412,348606926,767931534,911324104,562129742,294677794,605340488,335914873,629718733,761656219,599334657,807952957,500261897,538941354,404270912,75163726,646206179,113007956,15034565,765865793,432828878,528579980,935071531,5441345,892658477,524124317,709029789,972207681,856012623,599574242,194048614,514421465,625387639,121306242,196363314,558630420,380790085,217006171,436664947,178517152,747521116,590617007,320437541,129748803,466439063,984354422,591341975,811468058,863960287,350863909,26870133,116800540,201385516,825236293,830267689,982326710,721025283,925357580,899149610,134646773,197183806,131467992,163882496,756108813,723418698,328454316,271390574,541506527,328971182,515471040,372630721,120586683,905578323,961058400,124524577,919242947,950899838,731493056,223403028,568507856,162814962,922243874,634492609,693254352,374518011,958559539,777870265,999963579,570258020,82218923,348148182,999160936,302865939,2895141,836564971,478324626,265258277,571175425,185720148,742450386,318389562,685026831,144719388,514230998,222805693,450912345,741036615,629805722,650645932,616804566,422833893,522139719,223933367,298574858,581916634,997867888,972711823,246704148,285943955,719835532,16871216,302860592,533534432,163375680,784207651,326133399,481647449,212903947,637698021,828929124,639018732,202678520,601729385,209365694,462446915,347033958,100429171,413841950,115744729,784139474,617414456,174787055,758641147,231646514,524324307,431373272,78530762,416222699,120632316,402765731,925705600,812010576,640675362,453841126,643077563,100391697,895150350,18884431,770781143,233959873,211840359,703366995,454142762,683807283,12797375,194546604,439599005,174653792,632432419,684331318,595132702,727773633,546833873,934002311,783370837,69245561,760441067,685483524,848461277,908135486,926535366,650871529,875920432,438079853,40223898,419631893,201278466,692506120,463411904,873748048,775450678,23669713,787819789,727738336,256955915,59462329,774266353,566039555,708677781,665095786,27043998,269373692,126826124,197641360,335576191,565540913,270824504,306623760,78274323,805020688,304584936,407566469,921637097,263190110,642483460,567788112,958335374,597888384,585144564,596672686,365690253,547799534,537728422,975030759,675397898,545060276,556883943,709153779,870151682,716020453,184741470,572300541,28206807,16489295,769618223,507211926,147331555,805886414,516004932,846661971,279521165,924182045,285444265,148835582,558514447,231334068,261093528,50526602,241189350,71554144,974583780,931476517,477549337,976537328,230318722,948671629,710021283,241997541,201000930,207748484,191342710,497211950,687124841,666202894,79455596,927357622,803706141,507044471,890433624,362087713,939255269,943975618,603128659,611822797,536993080,293307231,165261329,170725509,611869809,721902697,977527932,799355625,913850654,422756901,483411235,316600310,248077831,152061841,919228294,974712707,776165460,532983923,312356887,215797277,785754902,960276867,214040904,753018336,316015000,941271662,855983207,81579854,535480668,662667290,89988334,710727630,211045253,473026046,44612662,174459135,735202536,178716966,221384851,816126626,378442327,45503075,228016206,149554491,158992587,655794243,981813552,662698712,977567821,261040223,904318693,430321192,221610438,466682696,896160328,905653624,22203059,983982860,787394226,191829527,662409791,190080060,822870208,423341044,212489454,898371169,244743086,223192387,17991093,438190266,931216258,839434883,657080491,214517039,775523539,978189241,257241379,53532759,883510945,236810755,45076858,134227463,750047025,161338165,186260324,699756906,332456529,836955508,693801155,381241869,165192556,12776219,768142636,242642522,188996082,347476786,953201610,484524797,320812346,636690132,449742791,983884471,210689776,307527447,74133683,127557152,166698810,559217522,124424893,479651802,616111733,409105638,655861862,687625640,653146747,698874564,904344681,641123182,301305347,250766918,182722317,39499781,475432396,118394986,670933353,370533996,707849690,788692383,391198504,180097230,711392189,643655493,808088640,13585317,238754624,303069482,643702159,941669454,758237172,41409385,887670201,8129707,614898672,63614664,755061232,337657509,621129166,461524193,203441772,341272485,600362415,732861765,989959980,872636705,220268626,405347546,311886874,246563312,884600936,185526839,877720335,772956078,183090423,795589681,865962481,170647263,454738801,798989553,887028107,697525115,804357730,592720519,136949865,129982425,507828228,1297216,619027139,146965991,959336385,542990624,852527870,469993187,993487976,437625545,859045014,781792831,971093766,223241000,78596226,343498080,885154924,685846626,602034056,329099595,964422698,224728250,410443364,289706063,359939421,239597446,26729057,353792892,438641288,78337642,797831900,927414859,190640457,697113229,967850109,208895249,994643003,161497627,509410060,242252424,901324021,632704974,470042217,660016901,987129384,408862682,984027052,56965958,688129549,489669566,285532497,621522252,181736676,310613023,166037227,674032520,329412385,883503915,972596839,843018565,449255215,713915945,945772195,460078018,169471234,391567834,228606240,156142118,229224908,375101730,278726818,602442879,529286284,777324485,734366902,484486300,973295209,767482156,619971794,308935146,416276398,34144513,751071749,268608950,864856911,829889140,258697061,942546915,209690592,43626553,955550833,267466057,874240666,98102614,330083312,417981837,381641556,312734828,253318650,610318292,432521338,222138046,738894232,292224810,394657839,535612442,425732983,738153195,617181610,841465301,861453400,441280097,632633288,224730120,24007918,867730228,329941200,618429553,593345751,538464982,175468013,412122851,665257960,63745601,474371634,235179452,50883112,884657204,31349811,682110243,359612849,46016039,664246046,792978923,734418939,330319038,98083339,490257748,32660832,816675469,805977380,121703767,644256305,818684943,36878100,652944991,997784578,395979868,468021195,502022376,979825513,209322054,794818890,683064929,830593927,223724496,513043808,300343163,397432583,441068104,8684197,907090308,12080615,596281981,547872157,520791114,492952726,528379040,620331641,914028092,889170033,948870172,332131555,777724090,38375371,33216854,771762233,736321489,389555137,262411708,847622342,520412622,8416064,563337376,382982057,37771547,490582602,254338909,636591633,318669368,560757503,366077053,21804197,670022231,844946034,846183793,236857304,987045422,406294830,747913598,922090014,651561737,757028211,106770556,424280244,802253198,448972592,377995719,828929417,187674371,973915261,142048943,942439303,795300611,13106512,366923747,16213284,465928878,628599964,693249313,520057223,783315533,547275049,250216341,325720216,4661181,66072140,534929085,709223077,147945553,95767723,418429198,299580696,348179271,415077091,220235705,243306392,256444708,306780574,931887481,414765026,399485389,319911036,241537989,359549167,403511810,215575485,933543673,264108189,451033062,720271351,618272531,740048011,782591297,104848746,494673301,682031218,647816889,477582337,543664352,959746321,149165741,691104653,850753575,936078986,820761350,318530856,295930250,196693812,509773235,35229825,578492018,983789079,79034151,719928147,986718122,95114209,997216010,376115654,439844770,705783596,276669753,580382552,263414678,118771689,615523865,141409699,382611395,955547095,388551877,693127514,620204267,739970174,327087136,519264664,700148917,677165594,394692344,241722269,513074597,983037358,37097385,352514861,759540396,794496762,886778205,814006141,358843104,1738787,50110608,617963322,527472002,821327695,944814784,52323909,336175034,860714368,891099840,27832029,811480796,35926226,18907073,129395552,420878383,937631977,371990310,10377648,318638594,959864480,503119743,821717342,772921635,372163021,277041834,22822333,441591535,878640339,590861896,663631191,751872740,237784893,140115458,208617699,202264090,355223675,663850511,482856396,75157493,337021868,653652282,446246632,758061472,1396894,908509532,959977471,771380994,105716258,885095861,878513929,443626711,531813337,478660090,886385283,193468745,625513704,776046710,647726649,797136983,664501404,527822357,718299999,370602316,190875161,393854664,152976170,612732544,284346147,961431200,758229293,577116988,863659902,167199896,42759500,300286355,708082604,805071668,559902144,655487483,107189914,496881845,11181170,789910964,459926857,364460032,834312252,818181481,809912154,820980270,130540342,294736623,255810137,917200433,600299393,639373563,180590444,743978679,454530819,796013151,366632222,710626188,621158264,413763796,251713013,615627531,37204100,994972589,850440448,94197712,941518615,866514857,390773380,416669172,281280817,869075152,178140304,809064971,13559380,132758677,84146393,756773628,564455727,383416607,82349518,244658090,722401923,88100720,121091500,241758431,648455974,11696492,267470993,538729712,493853020,274408598,696966688,493459778,808195637,225538942,942015422,362429390,598407105,733628757,104017402,921002166,334543959,384775083,499811151,783423012,387187956,969440332,993607801,708768854,488511485,87399400,472706349,340963897,803593702,86789879,21951242,879279283,711848219,573632171,760241672,945271241,476087930,351107519,547459508,725837858,403014207,337794687,179619366,551179103,450430038,254139928,759089942,247062252,368662112,294300631,664023269,98290852,949298713,966356642,78637562,388519799,226326651,43513139,179217101,137242286,359455725,864428453,300312711,84249141,330823060,416476126,532014793,902418473,533746810,80254927,477276952,652646015,252770320,519466815,363001835,111023993,111912337,460729892,173186665,182133752,868903867,424252683,526255478,258911605,340974214,739864831,404195383,660755039,786497928,813096237,817263268,423994895,407555294,841307267,381694361,621633639,634272723,4656833,756165838,665238163,565983613,243806279,650063084,317867428,538176822,7060021,285829435,155868153,711156217,707537726,371540346,75576866,48652299,660494545,940884576,185911222,71504773,745619449,28252421,9731328,625137352,852526637,272817457,61361065,431060959,886397484,37675059,510213010,495999201,981745649,84242920,220215147,907820279,658040358,277975218,144019474,486298564,305514074,522723166,195186630,676045249,962465090,733298879,628253302,499306608,196602723,117262567,336467666,344378112,669094293,343783125,588977548,206667727,209623420,494782568,917686632,997652132,511452841,961251972,318659890,535664368,689356034,733290070,928322311,761127690,239287050,946614212,447656435,637591974,759526532,923679796,942706928,492584497,211037778,626322929,372222268,715622012,770367779,485727711,390213504,944891236,481503588,568212508,315838978,784029237,311893136,903027235,376497833,943928735,120684279,334840251,855998878,19308741,977962296,519262519,418634343,382399721,331123565,72024208,734818103,653069588,883902241,130732422,487040269,637715360,511870710,164631289,279352933,83844931,764929914,116995494,865459684,558902680,812631473,166523788,316016920,445456460,387194332,145466424,776797343,95226589,748257430,890850169,644204577,566745454,383268023,162381935,751983326,790349002,634465955,687059591,180685111,270822204,420862078,818348277,54974327,827940598,692786976,604303892,139587990,704560727,286178546,714998825,226062316,624047810,634281830,667471417,625790123,87903816,494010837,742279292,544230859,594181801,806137729,331785930,996469677,605689189,695958506,139838746,205924064,409330857,615124121,237597386,955813527,909748741,966517668,348291836,893903113,158649333,796098757,687957045,510907219,438495875,126531612,69349572,42310312,50620081,304175110,325432571,32025068,112392018,72923083,384469030,679262910,276054185,175176050,495843830,291775816,625752256,628108428,971495642,780604961,904706349,13719832,179158871,607808380,169099512,455606875,815528872,399005454,992980027,96048752,769282309,21666650,524664896,246438423,967954296,443966367,1999294,91580088,357832704,235863773,349568016,902719162,311593459,616705820,685177049,875218149,577179998,601900731,451625410,217823248,877760739,416077252,866596190,784066678,457536769,4269541,139711789,330380433,26622584,508552066,55797452,812125022,288607425,100250618,459231268,448672134,856370468,697179326,861369964,644427341,671512085,50052013,618828715,194770389,918661402,549810850,269661275,864514822,319725214,464940142,840289639,927625787,315371796,234319332,499969150,519720296,29118084,722122668,242957267,495275791,711660842,300197321,433098424,277598303,469902535,567613293,634622987,923900810,588829655,311379572,343808136,692471382,776143757,87530745,412585676,164002588,794404169,146735653,679297084,123702729,573993111,653801409,673411285,132180091,775029960,245790889,530850712,727129343,435730392,692905767,831162309,862594990,839874394,756322279,791045590,242322580,417714658,347624944,465124778,437997246,939077815,256498549,308593589,603376444,752670900,436924069,18666190,97205440,397293671,51097342,559807350,777792006,674592048,577341554,421493414,535327720,983563044,409122330,500567856,978408808,942814197,424679342,8593935,230400378,402986296,428644987,105542296,431129441,287231776,89772855,235762476,432987896,217024959,969518535,475363277,313814388,839326592,193670839,92652826,443641051,386465401,680220836,292276093,237174783,856960710,888959614,395004940,605015946,551803663,275257026,1827731,869840541,183548212,638692226,136915996,413571894,510664489,215150850,555890943,799245461,369455378,412838154,947545981,444612290,33330428,933573939,875777800,578511376,602914835,924876221,156225553,616176014,398034520,629858260,996265436,694591437,208349524,544048425,359973373,990314841,548444790,570798024,594781307,393784992,80862154,348122437,81752521,927145338,889252219,725189158,570937427,291452974,264563340,984044253,147047245,490033768,940523933,395577397,537845692,861512113,342357466,372810598,678874394,518863615,813197076,346997044,650224988,523504953,83989065,687600767,923016660,556406583,895746062,31388502,98911528,56761227,508747789,342505302,595812416,821159364,32426144,551008317,2601432,328090592,967245866,600109596,821450879,9463934,296011052,605979156,951048136,680325869,149051985,272501962,558953154,624546146,488586788,923075441,434217473,525758976,135700150,134153249,589246060,193811489,345835687,116658648,864216186,798668852,186799154,347534,597858948,756679923,233240908,399188094,633932548,203882119,36641250,739541205,506716614,828051115,255383511,731799298,834568292,491150645,457818272,890667284,893838449,263955559,493879868,31337211,411525262,580296946,250611106,374910284,100024283,474677951,225514255,869864303,670280856,935441918,643457016,377299633,714115628,663020586,777578162,282872826,480849778,166958911,507652276,230247485,885312793,249693746,349327944,564201315,789019017,216283124,443773725,970770262,888559019,368244946,945076738,343133211,968256259,889832400,162256862,10942625,27562289,704150478,16993835,580813670,575410295,711429401,358367022,428059044,508540506,40510789,231625508,367024274,594443118,597205845,475960950,566097509,87720678,267307002,830859471,806120356,751635738,910482178,84977401,262774469,517074748,296555029,860652810,117444811,285489371,656799282,169771699,840205279,192048904,398889805,801663298,131327513,174483756,685605395,660814811,538884071,26601008,2177810,732061992,726739604,594341327,528923051,377090859,548970639,554860025,983186198,598626348,683287187,525495031,886573199,851107935,901335562,257166979,610506320,853864378,575326132,814541587,435331328,760617241,916907961,628608010,9687791,879447764,545908414,40594796,231292526,110314736,733070198,215418460,350626683,37392132,394696562,267604931,831261185,162845862,52289145,298389690,129490735,745817816,686384241,283045460,741462739,658743565,469970740,3733623,51131832,862575936,272872995,104586139,253041389,376741310,623148201,392806448,957312265,525920174,619771690,92517843,71998890,532525138,799836601,894761205,777944174,998119805,908067505,960907103,170467469,433412842,706408373,899318553,574232494,397668619,724395938,373900148,654359332,29190375,430689943,537324461,964479876,648687713,692959099,291549369,118351976,31468736,511944677,433038799,225827357,877420201,604202435,100372361,119560538,500305077,110890704,528926735,63898737,304887385,200351776,16622586,888390380,524418087,61720582,168980055,641537383,782928729,446275845,388706080,795672351,84196511,352867747,90387016,687357743,141535383,535897179,199150852,770211770,714930526,813753797,358169623,509583301,323800088,329081171,627663778,542629583,893572152,808897029,21676936,321444111,890040771,419031499,57174432,958086138,62970998,132639614,884649741,475442008,322484730,538916343,972659109,318991613,813558426,784412990,539734417,353766044,424146614,922987671,987832222,318773916,817435968,883342491,93313430,693726703,193940505,763490119,122716231,537459198,992797103,402758600,959698805,28418269,756829588,716934077,670044153,673016943,224754607,355654555,499097807,185270360,252683420,318046600,839557368,121355806,959136107,302058514,369294302,30124490,739053370,875762155,545584084,481945030,408573010,258169717,713174126,525403420,867728455,810101285,354039966,710174797,123925783,810675694,653673843,218459093,553352566,801447018,676904661,767484399,168613594,720748306,986259969,825187006,807808193,430305832,977061181,148655633,720982973,622445999,786052482,982197373,341724441,533375774,958630913,978810689,724908783,988443599,837509084,32219604,385431374,226358341,613740258,379769458,323042276,618754013,692011117,281179859,990739015,986516624,320044899,300192694,168176107,960975833,446091819,927535613,434451288,71538578,65848552,601136830,283724599,689202374,558353034,968919317,160357291,28771210,896752953,115432121,945712699,253295630,714189343,507578414,729906778,998674608,376486880,951255478,173019428,75626088,291330388,361215161,649997081,27545766,944048088,790642193,820770770,210794370,569317222,90303921,348507024,536809692,819514333,785653548,401859531,396594993,496173659,608928623,360190803,691586465,964987427,504737390,940541748,165090036,860558064,711731631,85488753,792807829,350476045,548948506,389287872,520203243,939426549,346554620,846130404,977352801,498043624,970801881,842514970,946335129,992910584,272740605,81806327,570216787,323149721,369041490,976835016,715962143,473490759,468502922,194654360,943208710,985654813,598758468,663693760,718579099,726068100,979237301,820548764,905598620,523878984,709621459,581098296,929715571,277182700,496801991,171039728,844699439,425838233,513537340,689629615,129970430,843702445,318946513,391733750,828383550,690096739,436054728,187810346,178389,457167612,936996915,551639640,5846035,860397392,36949753,167955141,551124183,684789382,80832814,120767799,748447041,464463337,393517151,298334742,788983270,963923651,721196022,623739990,62979180,799492302,280149323,680898054,768729512,397914353,339349649,89254434,650633299,854264318,9386729,96230876,287843541,291448783,913316075,756143629,710664248,792317781,100300069,338517818,470504383,237931559,641167002,902235020,472967571,641973029,587136478,53257935,338798995,262509285,506237480,11454084,72074919,356729920,279046712,893517716,958553895,151910978,750219293,791261489,510523452,218494203,756814018,708683240,683156593,459261790,723803377,430184209,98738853,809689732,390904412,558154883,16810141,177351201,949976257,818495985,977104639,531161826,160719882,242824412,567086834,757732385,194690372,30981804,647225383,330903628,95314536,580577116,703930795,70776127,108617582,192861382,57480222,330300381,273096522,286798446,784563241,633866021,840448211,833971239,532077371,34282928,584825606,771596988,830419943,276806154,446201731,134645697,806647140,585766932,396198879,450973815,678896424,88556859,216768618,9030966,377765831,831818853,661402550,113376235,170865500,73946406,145993264,944491310,416486181,965862657,853358054,720107105,807684122,840862688,831552701,150353338,289572399,771604333,957531002,642601263,252441534,813379727,333001789,799609735,969102360,800722971,359019986,180253457,282770854,517559247,264434155,584346127,384760024,810486019,406057963,232220164,386526091,180474093,879270738,320801874,807668896,30065608,49148940,409055888,290825524,938569767,381374941,64268734,449300468,217572059,32764480,907147030,763806728,963508555,894192635,667901383,187319332,63315270,904640673,186186258,848168570,29693325,31568166,707739554,921380400,112667663,772820711,531802648,380028295,712814889,695616945,73414720,862083694,868284747,48472463,880710654,636815059,603158531,811261678,362270723,968370954,295673964,213895956,13672225,658452344,185198747,10939697,111607572,132902160,871087419,719248039,991270288,529020287,982852062,601183052,457632554,26144114,382718073,484903874,277164567,345415366,380482255,915795511,213351207,412248132,833045706,16656250,494855585,432512645,752402418,903313188,116668958,390116708,83003780,371643102,733245495,56786792,598505650,908252362,310815448,911391064,841337174,720629046,37362186,246512286,864383596,239955567,572125433,727011545,889972784,421156585,696763820,43513614,768320761,140014801,733060491,352805615,807737034,643187100,960747867,644711498,524858653,434349476,333210577,524832081,233525669,141608495,507902054,211307056,515152835,999382385,700390881,50879954,914547479,511545823,93717192,129810177,177381126,380447798,917694128,680252483,139431398,662298739,729808606,791968970,454254072,228129159,644615650,688003839,150984680,186804538,647073938,449563575,225885461,650510806,655412978,318912192,909617993,810597461,214510079,942205639,380893663,151642678,413963359,289888282,183683368,898490576,14593444,907568468,612935153,349395179,339255690,723062246,17665630,536038589,600580428,706759499,237710657,48602062,163876870,644710735,902102474,969216310,903703587,516011592,283442362,933525067,795143459,322806744,417135748,142625094,489995324,627570474,914650037,435368511,590825506,915782858,425811107,282249650,654080931,989744328,41439886,285791079,681389548,371412355,680044976,973418393,339204829,281126655,8066977,636037358,374311292,420045245,957823748,793672699,131648991,110286370,684884228,640459948,671037555,942729905,749917081,332731366,341433391,856332981,717566720,176598030,561387074,260205614,791676625,977875312,158099195,932483633,661052097,75616315,402023943,622630966,966082147,114831530,368446918,983384961,107529112,151623176,347735278,976306294,833784128,504302504,471896788,281074202,753754833,50880773,191187901,794222434,763015896,740953357,213807339,587504997,336224476,356624371,463172081,556685452,806986642,684621910,685767379,133203477,896386396,172277519,953764759,279711630,988591852,383800093,393618362,744776328,988710201,777809274,474282693,292371774,655803016,427515150,200068539,536056906,267899770,978897615,932745638,23535974,911728439,135110054,101854150,827400101,981329957,168047412,66992994,41428311,139203394,572000707,850594011,912677251,149158682,676597898,570999380,258310731,948951857,352973301,656499135,462524481,52008397,309840264,74060455,816766249,502445540,978612904,367869586,141763556,284235098,125108287,699361872,314445990,35091782,7613634,206137822,231354981,607690276,742127027,96641129,524899947,728702811,924839953,287425686,969702835,833961310,857977531,729039394,407403875,224404625,384004608,335068173,952902123,697036412,866022476,8805393,18195363,608287548,192835053,230605879,649881132,547798210,68844484,803441561,229477871,838297731,862547618,211000726,99110347,295553795,578484841,616353020,861890374,609475303,442937948,315838278,191383817,498981832,723098701,877491535,862798902,60763151,586990806,808950578,642944658,516653324,11009758,970574247,281701348,657884340,134031783,444408013,392734749,641997054,427255170,342403090,879459562,991283817,554869371,897341502,537130783,134609461,866640280,773369730,990505085,357737369,862035498,754223881,204650576,489658717,599839898,221408866,875151890,119586588,616839026,631827160,592181816,514076151,863427531,735834407,958885028,355476397,807909950,442918088,245441307,904388717,968919259,738631437,242147484,66624870,300313478,300592386,509493852,306030235,990071527,866121822,704785869,855093344,985288152,978157199,106100404,800239170,433698139,269137109,476489242,56479193,745257585,402207595,999703049,189517239,481595187,976754521,908372202,77918038,215199638,852353644,991864228,173697627,604517310,207497856,764633311,966693628,949241644,172193512,392935787,400515113,270590491,365795203,757123802,824246620,486691927,624275437,851693753,992601663,257262673,165670786,387766211,798848030,509541284,658576651,573126393,103654910,550343325,34915842,187921791,893025971,534635790,754560061,682387083,352556639,427293067,644424007,807641912,156697438,588593467,815567150,559251333,627167377,171121396,352165490,156972319,998526231,80894314,375992578,777700068,942357362,63553054,136165269,404471230,991187489,886481513,374270943,808431138,690017518,709953910,974387008,45209372,280033642,24935874,134223175,74813421,571988679,101795767,273305871,590474190,793279387,327037430,974476626,618365560,907359888,971828562,910420034,403728229,726967423,624190226,648672440,164180821,991245222,859615046,478577875,322001978,878243800,127676739,699747955,25344265,845017156,433842728,31940292,642675248,640164987,450630488,372439814,199584275,247162042,355370250,219815792,819384742,977107706,612862470,705318466,677474842,357207313,173312387,385004993,652120036,606662918,472485912,173908182,103850283,656698187,26458390,662938914,219770858,359603318,320600395,812953112,784243307,515008440,192035988,97233275,62664174,44420034,756045242,697044354,306690774,967748873,650763199,456264025,112876478,227655047,714644464,759881671,415263421,145704879,265226236,179245300,584448338,786868978,777930829,816845311,457515499,6356144,384970527,973253077,154171857,457551835,996499984,175458671,315533653,118385025,686068090,128960988,136482992,825381546,458933728,826102058,536981578,925147859,488657133,243499607,76734917,130485461,196137242,714775894,213895668,964674963,158936017,651760668,69276653,957318116,332015205,541701613,9327603,332793181,364278566,335372252,864753442,89950097,965790534,252334030,294611692,426986254,893070498,63897006,72779481,926722646,271465376,203400850,532791352,661895773,299501189,830078238,952889430,704503949,268244967,360227433,138871662,999905128,929147265,206552001,124261396,290510500,845792959,465434092,457342551,504524517,504294066,476008084,580906199,776941451,898509124,22159961,190405551,733825520,577399405,742221288,117047792,718683141,573393974,675179954,79664439,840260737,942702021,425507550,841051000,415229381,150817953,472718408,888785269,10383905,423295280,140062946,581067096,205219547,606820767,290832609,617473042,930312931,442153357,58118983,864749857,750937094,593200634,674134571,24734862,775716824,694650418,912421190,385371526,76923387,557849777,434252555,952274832,788908359,256582123,778725243,210844397,575411076,231016532,199849448,720848558,820005705,364450693,764517533,488235882,851820855,405109715,277787487,147721503,544914971,491203230,697897250,300017663,887121662,481500212,510548480,717469553,454316318,588911962,66939277,136435194,738475200,555834576,749586347,793925912,542377600,725613364,526150137,349921090,246121008,643817236,641776021,257340798,762785349,566790695,975218974,720065834,598331602,693677126,694834118,299335997,691213745,924308981,900605984,12563288,252864822,4795025,231855517,889088813,424434076,789865225,978603876,508586783,956008287,884635739,304095507,876470102,531941854,794186711,318598930,570260988,864901937,554170521,679492880,169197213,21223631,201379034,318937622,506421751,459096078,918287107,605853777,544257612,528718262,65434841,424853080,172215585,885210109,873592285,480079760,194222640,650547659,316799650,651658766,401576480,929713423,939239356,163799335,790508583,566140178,135379711,647461003,350424979,869884378,253584236,914798243,900530967,121879908,618024158,991863649,824715879,960610001,876098450,792873602,889285822,48244229,137905533,194972363,995232400,323360100,996634770,45415861,627475156,91288366,54383516,815228673,311980673,278849543,119293782,773216332,958329382,774487099,840319937,724356825,134651421,625234433,224762057,540109041,986456775,574097070,173044372,688892911,836638986,503939283,952139913,255150014,939508698,925225447,759836046,588219392,106506049,750958346,387565560,9587423,441472422,733050538,807872632,627372907,82433711,907617479,977821548,932524446,159033448,657795795,364218784,7452197,70261052,327227019,240163647,668916487,852436194,720068343,768858665,125664218,47724672,881402304,630863796,943503514,152730682,295990036,178217136,119757621,883619189,333452395,231550579,958670728,501360412,553602047,59849587,788225878,156470367,278984666,596422504,198156000,279119079,220565538,295208193,468785881,989376477,536639733,587797769,829565916,665856423,773388263,491809459,544083359,484503272,266674446,732747022,422726996,618586808,970425575,285012304,953764511,654032233,422692043,201394076,993889648,72562110,266771542,899158118,67325674,299562366,996900181,579119656,315597886,475433331,605894978,894869178,69289373,166949962,945229278,995502918,77620385,894026647,1140180,525201908,958152543,161920162,47941701,509530537,753241634,626565470,291570224,574845715,806539822,485798031,579542283,335929098,850443702,735854197,78793918,695662296,389008580,975166401,126557359,667755725,878920818,822176557,335149510,416913212,176954486,375365867,204128446,126747226,971090374,262374833,865038902,59397185,473311355,737270652,515155925,220296370,328790490,769213223,238791836,411720090,767798299,874534737,690052515,448852897,111558252,781517461,70824242,555218849,163969758,99859162,655255794,31459848,536365815,152422368,219917265,219398479,708500052,614025521,618087731,227030371,452906413,520530598,395405120,714570567,858782670,875100007,28594681,590585990,475241588,908162505,658670905,510204037,15678560,635022879,97567117,17738315,834950235,483952928,586823646,519653674,517061577,523352893,273681271,339488461,888942365,469431070,336520990,741973577,948491313,970652124,942084193,472579232,652790494,980443870,617366837,805740706,937374493,898262045,233282822,376516786,471701632,410119332,395637425,707192300,817780668,656633447,441131980,339502835,648889412,386676241,716784576,786540950,53439464,327579616,338191277,47387614,80976197,646242108,770339012,228083015,776093508,294378752,94327186,520159269,411352320,225853987,39170003,733991755,893040309,900239556,141003937,793943664,163523360,245103034,905117537,463876886,723999852,40676761,698178233,281179793,755114713,966137881,373683905,554974332,274488152,586423515,388354970,800811027,483487994,102339506,255677212,46485530,340503432,168766321,582942662,182151811,869269818,720274937,413865913,311705852,752795096,225305931,767645282,879602793,981873702,633151794,464322695,871889403,120797509,557019306,162538943,207060485,974281350,743450375,385852862,633260250,842261591,654814907,285292685,171800370,381194895,120084661,703627110,285926371,530514730,387206379,281390570,170575199,702516668,105812482,372846547,147680562,165432477,831367530,609290036,590157782,950277372,679603309,825204961,764693296,521457044,465198166,930688062,727187334,816509530,962740325,369826584,726925763,54543311,582121043,478019400,847878185,46662299,625175652,827281549,402830592,358643268,865964286,207668915,321564478,324744944,19381972,558414746,627060711,437238959,678437431,56348268,38062589,904233036,281142684,646109706,45345272,755864105,588778789,584977738,96845958,589569433,961718777,559665184,604232887,314356042,901150853,884959133,688095791,177059026,962960672,951981738,700917485,684640743,609881311,5866040,781196069,910091238,899725556,257502273,71856604,342505075,434233161,61449295,174790840,983857156,207529877,992580306,220711322,953511584,153975731,357274757,303407239,959124204,342962270,751326366,284906235,550981694,532126053,901880569,202409853,50387041,848526135,180659014,462936616,86448329,805286929,432595240,139953269,23987456,909282381,456968555,233149603,986920265,292806821,647361597,109010573,84196307,910076493,17221826,831033961,414498780,855614469,11557460,302953619,107401987,405788525,280037162,229178834,511277053,551245746,735121756,694239103,249053923,32280602,990061944,393057915,283963231,267536251,258608188,524677539,259261730,92340883,129522353,88755555,582613026,970336595,324612297,394378180,833996358,54665420,303450036,563432515,19159866,591211177,656266471,355567531,899964335,784438194,673083717,226604012,644142670,5270117,525642091,353630421,848680619,186066950,480479881,828234435,575284408,293370703,819899444,413907536,794344062,690346577,369752653,309089482,238225664,121323316,37624528,668680676,281302436,326104531,742841720,809293233,27566545,249666650,162610151,840712406,51799936,144759137,145108939,669690204,125484174,301911372,553178437,656615604,573475792,526212945,237275970,578901040,538148928,764298410,650824234,831295213,620968307,523430535,775717986,407502645,750025151,778150837,259332986,803423323,213922652,213015998,952925204,4778185,235425962,256710139,32460460,866359548,449296215,784104078,332752071,914814044,938443974,203370191,814355324,509378241,956347280,989202281,278305900,973989630,673544508,132012989,791974625,513091592,279736921,802818415,169939530,339601069,507495300,790805401,591061974,626919325,679783371,988962336,216620794,236265932,597252954,395594014,280033836,474416390,634788514,920389927,192938974,602847991,413722901,448780884,953686715,804494288,186950156,55701861,636115082,354166339,282489905,9207792,197788341,673229655,125653912,319024504,188342261,955311124,504593987,414089836,738973205,72620727,607796283,796900170,501430097,900424001,851798908,418974087,444721669,377662481,432838887,559205089,534727171,48070046,899379919,975018995,744934772,440756132,750985430,70177720,267853929,653712622,921599967,331818032,679086634,150445478,901946301,127545865,668512036,931741287,241556819,719689734,364137602,53606727,315052832,171486700,375063986,552924690,403986359,883047858,30037072,370467725,975795756,206289139,990741558,861185956,498671028,300933860,807196563,803811048,884279796,749985533,964881722,681974228,745169164,188666053,397029756,535516306,138655193,957460599,915928806,979468529,390397629,974443578,217103168,143922150,846394650,220627051,240315661,92403626,935873286,361298821,539625736,188770673,891498722,420786726,512604613,590487653,665906781,169234336,911893821,565456366,842348452,293840968,177424116,76922978,598571940,689267581,401836141,724215277,169813697,511564131,663223201,331561911,690069199,331965540,959900942,129198797,873391339,957740423,695410670,678441949,334636047,271354556,680883260,702022173,829873591,116180875,347377518,785257163,310360502,748146261,693218536,349353757,103553344,15386643,215329538,25742085,782424322,793001903,886309013,78453845,654748408,485540354,300583553,643477137,814843047,488312339,422596818,533769993,624079426,376270178,885586631,910745121,406326706,651034229,945986871,390064788,321973268,183082176,486723422,992500146,513275376,381504298,941935378,622767573,566753028,114469196,695072566,177556310,749843415,894344649,612507419,43682101,16207285,68372558,720787435,333412195,812878450,648599748,505626768,850104833,789088845,227783436,245286120,259318404,457598721,72462829,502449778,962991473,269045645,323655169,848912997,583748577,969863176,33593903,600518228,970489235,635147900,791807389,183050226,936774078,121805868,250150651,90303292,149502165,197762836,636700465,780415384,215781252,518946395,60989490,557725781,110762453,813521985,793394695,136032405,498702897,561222917,814638836,126763465,887092034,657468523,60539862,275171972,394782715,203246617,591192195,517784145,485329479,960594924,67824617,985005383,645377949,265006138,965354193,493997765,225549308,424775398,873422677,100835877,523361186,634604850,679520485,343423085,610824136,667600080,711010205,677778021,465092210,577025022,367102946,544897681,249145118,483116080,930727221,121954705,320182857,106706148,231033,424160064,478510533,171317026,320023488,562993326,537271712,180066821,219321751,937130203,98536165,524648869,764828169,160172181,32557975,941423760,428433102,709936115,483515314,504702594,841976325,193967310,23549085,8961430,181825729,604676784,416747268,865733406,452134522,854334811,256469379,168972269,888333947,573935886,825508019,308822870,307969133,883590616,717092192,146609754,313399444,296960034,24908682,579015318,823745985,319639932,336437521,976261568,588170038,325088270,303886179,284628535,506179186,936850059,829888271,712020424,929266749,444552150,733340315,919067338,546155584,89169203,217145688,251909564,249068836,198166527,92825061,550770686,121525901,980682541,554282612,320540684,884866828,639489386,937583969,215136796,29878957,23722858,866591837,969035846,911591563,574422297,3424448,698748719,939135691,257455081,382762986,531509906,253866805,107510532,435157112,814573395,730396555,11367446,288942927,730005602,590175915,159950765,482870548,81237797,43009777,889331697,66071791,177439150,369625244,825303469,317217692,87361907,275282806,911375369,181630695,760677413,143260425,349107194,461224181,230162936,343052527,324486171,344254484,876831446,406207612,428205027,232961625,959374905,951668576,99168876,385564193,407321048,513667200,571263011,155320525,620274999,672963704,241177613,840198719,352430211,741407388,540399546,549524813,241608476,609089510,174041641,22863352,444665667,269539533,558653886,641643568,77483527,786462278,711697495,676134350,153560882,215030443,510248763,742331728,608695290,556874509,691199902,61154259,723627372,964369221,134288146,565414397,65185071,853027148,538756287,362477559,48799809,137714018,973993976,26328690,438449421,331577259,437490261,18946228,629779669,782384052,871068398,774582973,175763900,547228391,536115484,141842148,717751375,174254948,452864353,438088888,254558168,909196631,141585594,692792087,439956384,317450193,325075520,901431402,746887660,249061803,591630530,179491900,559256155,250257176,671019755,832424875,542730931,297195046,411014496,352333860,892517270,459728845,102660699,77582024,288041902,601380320,941858594,283104766,261574529,744829524,166667572,147760694,853988465,131583158,705417872,332985959,31651600,228868744,988847727,249160160,149749516,144102726,589848741,315115545,98882182,419475081,27046666,944675895,436442430,331603110,332114422,993305516,69896596,967646236,254361862,622197377,869499096,93472426,572269644,989716289,601598391,977281619,731819764,880190352,328537997,768896136,700445272,928631462,393585850,29728348,812426533,25323752,153063185,891776445,99893081,884235874,942110105,228468580,994506564,129253231,390953916,18956713,270731907,87896119,698763577,536883840,548939344,815266445,68367104,447943571,210655171,561780610,105806013,464039795,932069601,777513439,456513627,829042458,45366162,78136330,246532393,465887098,465510640,723310345,661234260,120274148,870537063,763813112,626785529,952109023,480432150,116967287,792320079,719301494,2562960,308461832,776856310,33352174,905337125,280530001,215534536,425102639,505942559,907743463,552188163,673654924,614388519,17324689,123425783,596552474,928485931,404729194,538704601,696403858,79257069,155092539,201693396,581717945,220712087,516336652,657741969,620468902,36503701,646270002,118949219,630301927,265156886,716485342,94510341,162426105,34925758,700869516,532221934,289924537,25312697,542009508,842707888,409246034,188797304,546508972,990265216,531527362,435479677,591428663,373630375,366037618,147901390,396575650,940847636,347720993,736378813,549533335,933870204,634418557,205184835,632869096,537709672,686821183,197977660,861270636,316866349,219725342,648924640,228880347,614947878,780479872,577552148,867139034,840425368,888775363,618096470,518842869,824075846,555889774,788070602,29810384,321309829,962525180,322804676,615799287,227944357,5096871,245564478,22278174,601731907,643940705,526482374,498828666,470779528,989898175,830983724,261406310,263130428,238194031,203996986,785641862,291558998,857064994,338952021,319498750,949619229,536948095,807497503,238075631,617561090,741574656,710491704,236997805,58180248,225886919,72716140,756120188,845102963,330451665,312121167,300878438,210005627,710288616,437587705,696407718,553144838,184840820,622600436,559368969,152790184,223648996,637999997,701809930,109109081,648032328,136301601,690630137,754894264,95822067,260494022,363595969,227177783,683689074,435737127,174966694,654311344,621832122,577605459,257565699,935377403,14124796,494646272,55985068,918180308,392412028,205007186,538662109,282510694,971558980,12096228,600081332,450100925,169902331,210253559,67816274,331325359,513039530,36454466,244533546,2101919,722357543,618167475,474432105,855090678,487737425,463139987,124570382,969499792,458320303,898733939,149514219,137209395,204918537,439489863,446528036,403153331,878643306,314766412,880861432,596514147,195771695,477183650,667937075,240759864,252652922,80341095,494616756,103901156,998436863,549896291,895602023,94994006,745094695,115399021,689264916,479973382,966450796,380279219,844280274,289884649,293909259,427405175,921481605,324484350,605277109,816242478,538349514,472056539,74244594,362360172,856552378,47347708,767980260,884441039,12736037,226673257,659524527,781807920,233917950,415472207,609642902,339714777,103029629,257708386,359518804,617050359,816504226,815883486,820533849,152197070,875101907,229351715,942582181,215575258,591935841,377896713,975732118,15726249,57722077,688250597,434330006,820368376,962872070,586161611,213874477,848139005,652950877,182491261,442379062,49782964,741332333,671167545,191056821,570274827,881408158,152443220,651692882,721325510,166658817,489621768,910481578,775827268,541741185,300159377,694718194,600324345,325169269,341642452,963081612,529915727,686071250,120684955,814294505,189067314,156488849,882801209,18639796,248021817,870014183,137571360,787544295,709022008,493683204,70426506,607733680,651452035,420879340,173019047,967604820,539748903,313081807,459827505,437591657,711491033,430692346,375674342,816240105,991666799,82734144,55838637,555254508,320739930,337067692,166344325,89210077,4611185,545297314,900648727,711594180,2007998,424197145,692767789,683386915,864907329,49009270,963129036,89151931,720844890,344842305,492171665,67697682,396976053,374952972,520940834,35243450,180391856,594160937,988791225,972759390,306035108,723030436,166351997,447616777,629178524,350975420,843358589,164566706,162998628,995087174,935274272,636258620,746045412,734770299,495160232,738369726,788703573,444024769,977058350,501457967,52504538,696008365,579759568,975733758,637184230,833981422,741546856,367691905,261757826,210256446,166072384,720181679,776864341,58690804,664574081,393847953,720940138,813443698,299935989,73993409,406635153,62828285,513242227,92633998,218041615,732702428,959863649,182580009,868842411,177596073,570261750,221555135,189694933,507406603,416872275,451038762,356395556,21406758,595651788,648616311,457167191,427602022,288767453,584139649,163737922,524761180,325425379,571259768,219047112,244474962,806476882,70950022,658599965,258239512,489901847,742094937,895265129,760891463,746769918,351027406,297694662,321611068,121742129,890136363,687465250,723685941,839362754,854477663,852766369,213892507,340525724,742112115,315502968,295399225,982768669,895005412,469984542,595750218,457298504,541564400,184505512,573173889,910298325,532688026,372973167,759907120,872637955), 90410) + } + + test("test5") { + assertEquals(Main.continuousSubarrays(545474762,953787709,674751628,547108892,139086321,913984794,455213752,457371038,837804203,321301980,622340159,762005224,508473801,816102502,114924508,46789407,657987508,379771108,196416467,719296810,495054479,643462943,12654004,326443663,440676053,994855948,95788762,100456096,270977958,713933605,740874937,707881191,521361591,856258740,718514932,170403000,175385464,277230308,624255322,273359290,953643451,417501937,798361803,70944199,962379022,801126488,109005986,412779329,318426048,349405407,598302991,660867031,1287363,498039388,655636954,694997519,513650074,537106096,30938447,50239758,504254037,187552256,870317830,151919568,869264851,469086257,222105663,223490643,893523557,882450539,549267987,529469954,823331810,705347339,65639947,153171028,265941837,960051315,292768994,146881323,628344033,765468117,857907900,501562920,787517433,704861639,11308443,62725156,607283388,129346720,348144468,851306922,344199521,964292328,128065732,117805474,467572364,259778214,319062270,88533611,126196412,506345806,441891684,624403986,870190098,966167749,858664638,259225645,985568593,240806542,796991554,651969579,924176268,939796052,377908036,255806797,181631657,583668594,429223101,874833713,412446693,587837591,958218101,640627901,177088445,292216349,193286102,650633109,853390624,923312715,362299943,658210714,804686394,515526266,451181064,662930694,626753689,783555897,12400310,651814387,938473743,921168035,391708552,990604624,979125847,390093813,825136930,336454227,376681215,295643059,419679702,466493923,73261819,810794197,487436405,647687668,233793725,421738676,898054550,954533970,103780920,258582691,866068063,769182044,998691651,216046946,570575460,722218063,359388980,671059253,883861116,599293317,30980739,148289732,358975391,392969658,746363205,135600987,710084864,763429926,323673486,482258903,499559815,867845406,483136077,607104626,16356966,292267078,422213889,760807147,567904255,188239674,673159479,948735836,882373507,465742361,506189533,780640488,752952151,558539784,486650725,925079399,291818571,280039695,314645165,827470841,73409681,371218556,216918091,255693008,667729327,157759,84608120,127134321,619916149,327789042,29728282,876431758,885622384,482327881,339660627,352158148,589081320,396738219,42795378,803488061,611767376,960250059,684476138,197317093,950355897,406931811,24349873,970957800,768442025,754695890,945932300,136657174,741180125,807693202,787725639,360386485,206012637,519172129,443867048,81643105,299588156,218403345,21451125,616192657,846590558,443337316,869802114,421812875,185371674,257591463,625879557,78544716,480628532,627635990,802455816,921237920,487488040,561862634,230240853,773074864,390584721,232335660,652529420,448011690,8324566,335030889,806053899,940893509,619360012,723933263,972239726,714735400,402518771,742677165,71418875,296399566,502505589,827333130,921605726,143917835,854959077,895195342,46950801,675823938,793162894,446665270,69742208,418936131,335363404,614036870,478481976,971486173,535186782,838381379,554100015,598992997,696657391,870254447,711831205,176323343,417694819,151955415,167281484,448398683,486830952,593857530,34967712,824252004,711386403,402415956,308979473,623988414,297692250,684000792,801637230,25551290,47406041,339996352,578815397,997125839,346630568,445549892,536888157,712676461,893316267,811898762,232287079,341088297,772011188,693856715,506001495,856328082,847418912,575406390,596785758,774764468,889530908,966351783,882592495,340930891,553807837,123214609,654854481,978491472,773065653,776036754,434109022,219322095,716182903,628698585,585623443,125470931,896459871,730677023,486053605,365888700,828118172,896692557,241894416,63500807,721254487,117459765,800286276,329169937,139984775,456143947,224908111,600061356,619292656,58115536,820843928,685023287,906494665,480558257,17825086,621866055,279233987,655043510,803392170,251772159,759906701,444886526,703414433,85614203,449268379,293106900,620959312,845176523,389202392,788358775,593593095,922865226,225037727,183064595,289253763,118446192,657233912,364740200,980925159,693694199,889243693,403977707,849606682,872903781,665011827,343570614,694238753,115686435,386119859,540127512,92791100,810369430,73933972,311821610,477772414,927807719,897029559,742243851,677803148,98629375,660516032,342403461,680146081,867895850,684963515,77257011,828987793,478516366,806952055,870457563,159392578,939188936,736487428,437405433,178709496,841991515,974735087,130253428,878145233,526259799,900845676,374434377,975849426,757178258,966787063,302266026,566020965,61328760,485590426,238707687,541324004,998654768,5456994,117168740,943595809,926590565,483231730,535417750,113506112,938549495,660732544,274494701,226314107,625050478,408899361,635160847,473933508,383932427,269667017,998850970,671265289,44704132,631168982,904297704,654040943,649082038,704955159,23179026,219543654,886638783,490363439,708727854,341920967,171857227,566349222,326658879,351134898,878098244,163527856,444522521,636185358,165360294,883016603,307589084,1127876,297094573,2266870,773320646,449377654,411159915,991928672,865085084,823684697,526299204,189163363,450936725,400494331,984643951,904036482,633380680,269002587,145582883,990288863,818395328,591997773,653587918,283333259,657517832,121590451,406976514,86341578,295248803,842841358,318955430,866162711,369675805,140687209,304949464,451470721,831427057,924145515,933203451,896902519,188560232,721521820,108724259,884227111,610251465,98122207,990137877,136448228,271610438,396784217,391952157,365569312,517400730,543789050,248576794,686942509,91683708,161802583,678197563,792922455,883944849,240477286,909619908,899484842,31218726,489212141,128414243,434785859,301813582,510916403,606770772,560480638,924010217,29758439,573495626,306790691,656871980,188519384,591351428,434265823,319057051,616827891,618236668,795953631,401636033,108600394,765687252,192922795,47122622,149055472,312022541,919094598,968937120,273189234,588170831,674991522,995665825,163566593,631901094,676082689,245491590,170263264,313268266,398558884,654178111,586145685,55545839,62681921,652472126,661456537,943362938,648407692,874675248,400391181,617985661,600650899,500102731,742685142,431436545,515024357,894852168,95010406,393126650,718767077,143355012,287816003,445061639,687716793,986302907,46160337,328768315,363690151,442972337,868444648,981732261,873563843,973373342,441344806,440848829,541238310,385022583,151948139,663589540,59689588,717520943,453600351,509327393,344240072,775178739,562700376,258352741,319843064,472851438,51278135,146737094,220689807,700320382,837332102,762385525,399959971,340391529,506350075,309244592,922326445,308581072,693856672,435122256,549415026,943761953,878234910,38686776,341990619,332794128,163334525,436719687,57646657,917462331,850315480,380669479,537835446,204877363,699662373,39358988,410026675,94768102,329948058,721550840,825553659,304712541,196325200,607009647,945395785,967956293,388320607,133243535,640342851,445277384,240854060,469239245,221896301,325377114,171457041,925879675,607293320,53067765,740263642,898186869,169410240,948730095,941019494,294476646,178250682,305501864,413087864,924901626,458315450,958314557,590331576,75593805,97061820,145043190,162473687,951836985,962466400,167018333,341206137,134960982,838815629,382897871,599308775,101595843,493804524,230089706,14722163,350127480,403371683,613235294,915894561,834618526,475187293,27401342,25363743,932209539,493936940,524781045,341384337,885707986,931029183,988701420,283148480,935006656,137668991,874762225,269100666,90798739,260988534,126779018,590532967,97365741,140736498,714123802,145722215,722460160,490322286,811290287,67742715,713677709,39743735,332639627,218125803,713378338,824495521,802155217,464190961,508591532,782584768,62270081,473801997,780246306,492962814,596922368,830159474,982171716,485473444,748662054,641029558,211481352,142625254,754603067,189617175,441925744,147899125,860281759,721251483,864773403,872633785,33285556,512721503,163153735,923076165,499134592,305679331,52448476,304471733,904986224,180173469,873491106,54145038,850413878,907977403,729927922,811633977,904950176,967333052,873826354,201838752,805215738,401471602,198851990,100308971,820767311,271177128,626224830,878636669,766515865,698046510,94262611,91220413,34511572,369678587,136416738,135295118,835665387,837010861,1778766,188983056,520636238,67932808,842490299,537076134,257837150,254214487,640539077,163653725,365902396,360638622,747990900,366004316,518292904,316433552,864242416,553070922,855359306,274710491,30862493,371214965,74018785,860725025,23212647,773378365,244988883,23911823,995715530,619254393,873229435,906485693,802772084,109348094,337709190,360376560,620412528,748806078,96927764,645692670,515921770,829497017,319535006,410349879,365477827,825984480,420095159,907728075,453525347,599004529,524492831,573007531,588571259,845043093,659303990,897664755,689141490,553464385,612402452,373088932,290561218,547062193,182482668,552490321,631921117,410498709,897645415,334252520,853354392,481839029,499111479,448327286,758790177,942150784,810550498,325945856,864779657,911600156,737246429,721670995,370483014,306381760,582988068,606736194,528288688,684396087,981207893,889223032,452556604,545934929,432351484,76192129,24442032,559427512,118522351,324985000,602642254,479431557,820891887,169957371,692922048,418135756,575759197,409144974,546524375,212836422,869372143,739934065,103096338,71683468,166537114,274182811,152109497,595401186,943372376,769966230,376541867,755512473,826110380,675752392,767459616,896331002,624758059,740305558,560126549,658826649,539109044,816910325,566750152,471067553,688551621,741199527,52483806,953002908,730160068,995900903,331283408,968015001,4126543,976093594,862752300,398483383,659408192,237199285,348457285,772972019,480622739,406044796,751533503,863596949,571567136,352641320,668049650,826962409,690997860,910314042,713494248,600901841,688516875,214834897,177692862,531026235,990390602,43541428,617020987,570722474,162450513,635827725,63288761,415548905,286793206,714088196,940059162,893899441,749707054,54067503,27553999,265237786,264657154,918428214,542011994,973059413,979487296,445331640,21967865,890594067,768968716,635514547,575301384,855634337,367200514,675846346,642148298,484407741,221163342,533925647,843020373,625603149,916232486,873072403,779163460,454060507,75836,7985462,736721012,383345697,742346767,660760312,879114550,29098064,960655198,426890371,931812190,428746353,461046966,494984288,141134427,811563191,78726270,588642920,393699714,142913769,518877134,604838140,556676182,152929184,602798185,910403651,898625854,626487224,266034437,725262406,889614366,597343152,570666408,218575288,434917749,516664,944606220,308338510,871383776,734925803,297242798,23889061,627743907,801456652,575033010,368240050,672023672,416777299,789532761,715855021,70299680,243983876,33760751,793001861,750079838,917145769,643627426,135779765,721092021,349580710,937386887,885945353,528411233,381325889,774124795,555778758,377724189,948995789,430383986,977767872,411335735,142426216,80314555,960647770,840694797,793202061,329255107,140086498,532839916,176196362,57914219,508464092,992844662,436809653,212757427,65689962,366513380,889148347,837903010,239554660,779049456,519381998,395974210,966870175,474141784,857071524,688749281,823683661,256223060,45021479,70949872,894833262,211212585,538535431,414150849,715635319,586877556,82270020,556856608,413749079,681255945,245554097,408996897,798777881,964027279,363846487,290313722,545523710,991273368,765412282,617077811,861215115,26299008,862797793,59596791,301896640,761869449,639849999,800538240,866748390,993625200,338906345,470425459,548423176,536041050,10782658,382980242,929027491,738060623,813836313,658393818,311258651,960649848,157822478,514337768,303480104,84584675,522762408,473132591,862805502,349693312,685105050,200084935,183456708,337091315,311170111,601955385,306355864,36355775,566661078,901658014,239156691,24297902,729470068,52099623,861296757,87538180,223653700,558360570,800466924,964342519,28164274,97396457,142583731,37955214,598490362,65710058,796478107,319102805,805443945,128652129,829657375,744635191,573704173,423364048,337376628,912558285,817468003,818742040,527484292,745921998,891911812,457218573,829125159,566269154,840080035,612959021,203165549,19604136,8674653,402126667,42695166,189514194,899650021,348613324,544024948,462169960,756134466,508658848,416201885,77415861,689685712,940375657,387694047,184410804,451594042,677737450,700266841,790998449,983438722,706328626,250762882,647220267,596114504,522573431,368335835,116968162,265467938,433197341,410593071,689722571,100882194,250517565,267394198,654885954,791220086,385387395,512629463,427780382,170956603,560612281,772076965,720564842,488615934,496487939,938725656,344192520,688755731,110702180,922350327,273458122,737158042,781943315,303792122,340675387,864307143,806616164,521146724,388790616,690256761,60107634,286219868,596962067,401129328,3889485,847924455,979435561,636654269,910632239,75718267,430645998,883062573,78731248,458560935,210409424,822159050,391028691,479458762,807759689,805467099,391472631,999061610,863224004,688267509,179558502,308937627,171612608,196507573,8226690,35218013,651260077,917416729,283822888,729020905,489577865,925303596,246169850,447609486,305785839,138918250,535618005,395080705,840329533,642433981,923222229,97518185,943216342,863719630,837664589,177492642,613251889,883509110,864465797,844094073,421112860,102956809,553334773,33367108,400740021,203737987,316599432,236017967,410849848,635198107,771254195,251259615,459544712,540355720,484074381,120134184,780456768,485597522,617441391,620328097,781190683,426842509,693597921,595298352,178975374,656798243,151445934,811132838,235866953,877793433,786950615,22681856,920348392,452775298,986977771,56345757,766117314,119243437,510109445,148064871,103002707,531949818,966192244,617095082,639927510,358547925,2883468,323176740,33976940,887381028,639641104,444391049,825848115,401579326,49924231,774504372,878084802,438736343,280764838,477861458,305398000,365919126,117014660,90530276,223286082,291332275,194474090,894003353,565760011,375913198,153404764,341017814,313645146,358356814,552393957,479675974,64236486,988652945,940311595,573275015,588685691,739444804,715734849,92919073,95753635,536207137,946370747,839488653,498323784,476451053,72413659,933210640,457112560,458752884,180856524,983236538,557099459,529995835,926253994,742849187,342913171,604768245,838018587,803865502,200652393,169706181,614344516,674422514,308979502,765984833,348054262,126912774,707577036,472653114,423888161,456193180,66461691,285685093,540995782,214301182,22299842,539000136,11718239,13206791,91466661,63830789,844963994,589466276,226811295,167471765,853430338,108591090,51827920,869173817,301480866,935946965,919250600,154795190,425361886,171870810,316299095,215697575,155462995,664565769,609527593,350858889,766351396,708760825,144720506,5326842,351968601,795875700,633752781,144309113,269426973,514590742,478952952,397068883,483210,903556971,384232999,384525706,317350321,673491018,102183212,367097956,868164933,999030445,736378698,217439879,283982012,438397539,575564836,753967089,175708960,412930649,884483303,923631348,944453572,37184601,942236403,616279693,320226682,762709977,245927662,479470077,778597054,765306649,904549370,727876269,872620103,170886370,888444142,855990907,746741327,623543118,616767394,274015708,371264586,938363172,602136544,5121907,816193356,278008691,120457940,292909843,134407516,266855193,582265333,487428920,33903388,883944844,996644083,144719175,39689161,424289042,553754672,117371262,182849470,573768345,15512358,438205647,709504272,245854884,758552849,911166829,179552501,933420287,170398995,750671721,558518772,739363661,174590890,988584173,597670431,988919279,380917937,235322464,916511528,964987293,912235250,460751322,481062140,517178602,433118684,884187269,813047920,260108521,771891610,67180856,67692516,946607800,748465252,807227704,605986010,639569963,823459529,774631666,779371270,391824543,334621050,425194741,490986952,405423883,294658403,855035557,268810322,908627670,850662293,544492775,787998170,836929703,305979856,207950875,66843008,916238441,572189328,966287456,144131350,889967423,771031945,394270857,224536928,695808640,388137927,771022337,625631027,303754181,653353920,964589853,938425465,755683021,323880830,750963488,337444540,47795552,504231403,362678177,711224267,239181312,352082927,844697922,608690808,567108619,820648549,831470735,131819488,452875939,236504294,812755420,448395358,127429881,895215665,136500513,680103027,709741933,83237379,31186693,85280038,225015595,990263321,17403044,702768466,371625217,689428379,926411632,208823805,937725433,687037143,254938728,813469932,87663854,742699924,357511406,704424156,273193473,335307671,452555265,760105171,286664170,999193583,311599503,465829552,675180690,326904371,85410941,709871833,624283060,314883674,700936741,986713996,294309855,230899320,383249980,94270733,837273005,707287632,567074790,114619612,31292085,718908009,810426882,152494066,832704914,945591132,126567325,388012698,501494863,718251516,420292959,169090612,816089214,486041868,408081394,653652506,624130979,980270500,499322388,51461772,20518627,959149107,946721170,30358281,153193848,402188570,382703386,97311690,943934004,267493692,676485361,271088763,189392,849949014,368141519,364426571,929718969,411807418,526643452,47842799,162637920,512298819,624946145,288148069,730546282,223375135,279669518,342929454,346568452,626325245,203796627,337747070,546891917,193446517,88258816,355206206,168611927,378242113,633047195,968530242,220672359,642613345,77669205,680408968,348361636,756117845,487840395,614614203,290965357,61735792,775505792,744913573,74812209,472870216,498746395,978216286,992911656,493492912,416336926,92777874,378133612,766773580,503914590,964014124,816870855,332837871,549028976,243723848,611509005,622776867,701613586,927530077,29286350,599358839,272131387,103586743,650687795,311131803,72046091,68131563,459227920,218545147,402032457,317222954,981607464,420560723,834304223,877986590,617532088,501035956,959751365,360466345,929031678,416090738,486185860,706203269,387536723,239108411,531218988,513951010,507598745,616765115,821162559,928774996,273176472,467459755,290104105,192278967,748449422,654293301,386210412,327961863,638157305,151392660,779705436,942335051,487000033,148619671,901344202,666388055,393066941,54726027,191645409,684468687,980175064,464987474,833480336,695936859,464097615,402828229,295634363,853727004,1661910,958138899,33754215,431244903,559227878,183171949,244173362,428954133,584028446,583152145,447569574,556165918,89814802,978740599,965800971,618787714,162891221,284079827,121087786,136778506,366529974,66624914,677243573,620811433,793088703,335350530,308776003,510778331,560004445,548539507,944485252,929068866,422083797,259531117,616175949,338886401,560067580,56068534,403938305,244133026,14701152,872463625,963999547,480723683,97051622,817860493,8632649,587901920,105791497,503119781,544039641,468694243,249831778,410203092,862064688,179676223,784850455,217885201,629649222,262463805,865377180,597277248,604703598,556928608,945023813,622907090,415827563,39885883,744104712,416657176,525432884,140724163,223387080,641317504,626482675,675861094,79295850,724357963,762270059,474202963,252982983,309335964,852023575,18761755,212480871,291500510,474320530,985554089,933603379,738044811,563917627,903925207,387100824,427841910,45834372,92553571,98102425,446235023,25095098,89786949,512483814,492330064,136816605,30099403,857366777,104934903,579573961,660556988,601268415,26240169,705633420,819961837,272848665,950592612,900366993,985378679,916037221,171375585,949992542,299967623,283407342,586902371,480730687,4088114,380394370,846518041,867835508,381493660,706952084,349131763,750459987,214077262,437482647,213515026,579824327,498340209,498202749,625073265,988972259,177523029,784369756,411918352,680773690,57695851,172042152,523892175,43706140,582641462,584292083,688261450,590012175,575450050,364291531,695107845,148741851,583468807,474626062,258562553,566000705,212770026,734185142,267619855,841904976,796960237,949019366,500928349,273616844,601858185,115202506,254433683,823657759,925761178,390652234,20905617,60797389,376248729,886385098,117979069,679843273,381652609,103936454,786941909,91286776,761794271,826854270,113928621,49796393,403052800,202560184,849612874,862639786,954851896,946197829,347013707,136982428,952003383,287436486,238181924,537279327,28579892,676414413,160655288,83043560,667895652,536182301,685278090,567135300,27400168,812549357,725852630,465160349,921396435,902934209,727315626,271807750,234055703,347941992,217346896,935937011,989386614,146767874,870930333,678406583,186581172,214804318,792178530,273792025,191345509,365145778,301612373,360215683,379102492,268158014,956724493,670556196,506120037,567746164,113041681,264033478,601202897,957627338,840088178,86824413,445340116,181509034,416619273,659185210,870122037,969490674,350761605,234399748,536636448,900739384,974382167,44417973,102839031,76166966,278503326,31102458,943072102,831756119,960378827,556842802,306024335,231584378,503839857,261105150,129403563,38240617,566476727,25028064,65465971,181578371,837045496,861095475,732392588,16785361,261830968,287649773,192973925,361958570,875160560,752728547,218428289,863595469,295557775,726614606,922582021,402740625,307713163,135184696,526938641,825723154,473161125,622463123,415279809,618053891,981487310,680772766,206049248,311165464,456151871,931405637,876272495,482680006,530479461,318895592,253914388,600544174,434429887,718953453,821302784,31339654,502185703,787212430,786958035,717125604,89926190,378926973,260457654,258326884,333508196,920081823,888386730,109721355,317288849,284888377,871748095,92999752,129853916,860626543,961375327,217319026,767591300,679515786,861694653,391141160,88724233,898719585,193332111,799380521,160104301,720185093,812746383,257409242,913721848,752988567,972404785,453738053,143024510,151131826,171577136,755425529,648956078,475703195,193490964,155830244,401693373,501547323,149233723,501253165,796094513,560557365,674880158,425847412,789234724,934522982,235543747,640964113,868599905,506939895,26688794,235455597,119204086,885724989,418558546,243624597,979976483,913358438,654359926,135937620,569321168,211509609,307349745,384998829,563177493,510387494,322418416,382155418,179873810,85818298,40487879,286977883,264650851,239246502,433008,795409932,161143395,851066705,522577922,51969475,303097170,525446882,1260937,813518302,621876167,768213354,889225166,564564166,64079567,855391565,558931146,818035247,99770910,278994908,43228303,281022961,74639090,36669996,332255545,409997028,29504392,515492845,403369011,594607407,472078682,319344991,746437824,611353666,858373052,617373639,471994843,763925526,141853143,369516300,495755351,133929659,304278447,340412102,182609802,194427504,260506160,912804989,136246535,19131913,770883893,222764940,622729176,999390488,27942475,292693708,323781574,480939154,267234098,44354366,238789023,756340601,913622507,810880044,767373666,952476974,218531847,337345311,269719503,124549413,332859772,913039131,825371411,550775739,743858124,250821189,677756223,65370794,347351633,85301263,155371960,758492635,306945004,507009987,806625865,587306687,94151435,445273913,464176579,594574641,396701891,68229526,347861958,49736786,156968774,486977742,908771719,387923681,545191516,589794745,570976491,983061156,99594946,863327089,478535740,173801790,505716536,980059937,823448352,310516801,236536245,596843812,793446145,509000348,279449893,371168424,740725742,220318780,804525331,148531381,591440983,787936188,172089621,839330789,155362486,176904476,179920846,462273540,949684681,116941022,298917022,963045832,148226950,313079294,297045981,272514387,19472100,787574941,917085852,685356712,899339069,452791686,463182021,63056345,44241627,536478890,151523778,395522268,367864926,838841020,285726507,554669659,184905634,742433109,249409261,781280163,684857004,460892738,245052214,312672979,644463614,44150004,824160443,195874280,855248962,169104717,597163617,103510010,751954822,374287915,769316563,113759039,665659317,661241451,802341914,11181895,851763213,135346535,825844045,638189759,172707220,188567925,699433552,790140084,710954284,5020665,790507422,909813702,799202767,789744445,44956269,988941546,662253141,471931895,863889811,858315485,643220129,609553047,788851957,813822809,800287507,293922598,183525156,870331995,486472005,722356426,1426155,466071882,37128501,21550214,159863360,904448010,535656596,134020476,495084181,155440139,976719629,767544431,228240157,726004533,321958094,385010040,527642363,336883841,393828409,552663231,238746592,874641217,238295470,490506067,890256380,313887046,954571558,625347754,137036504,299137324,187974073,984118908,17567153,677307178,671898072,593636359,409297401,470938340,195383404,663287121,774337040,168454574,234914258,591403157,85601696,120836858,504575553,301142091,893963887,762067181,95759418,200289891,478819458,582943946,21537448,996425170,727074791,239265113,366577079,635968060,209879763,384305484,913054350,347477148,251727432,461658224,464731534,979080068,992882432,565021945,581353310,66165450,346489985,462560156,828518484,389122463,423075823,619297788,137971880,747645232,920305068,377438381,404712970,655316265,746386685,862736878,91442617,877556098,369810960,504277209,823766413,507818138,68788864,159468632,136847349,348839851,835510406,159459664,404903009,401552292,459435207,628383693,7539421,515146380,262182013,659089754,440013090,300924598,173328361,803604029,250969610,191677037,556387584,472610737,909624019,629047472,168708979,769301010,533755719,319195838,860266461,298559175,287451096,309594172,459704419,829247412,639996372,41301244,930750077,249425630,629210538,14532017,946954128,982886385,9672197,262585052,664742393,749692050,592716590,626932772,747161998,482916310,343875324,274023813,273160949,423904105,90029175,874020739,347848841,219446851,80505871,917793532,135853995,631608006,731641895,526321382,587101429,890249558,51830958,766713682,241537294,620012991,714012879,958934633,918409416,309089925,472080943,246336413,189852268,396966351,794652402,677436245,492197810,438966600,265407286,970767471,747527271,415635650,673595508,109319236,249603864,698188341,998080299,10579186,458689641,333071021,397600865,837531047,865092630,207637421,710313196,485252187,717954835,94011131,817893332,922481624,418417011,547825706,987001149,467716181,189803599,933009911,450364499,366419009,507471621,297013854,611625157,913848205,816940710,363241574,480376004,632511988,349268017,99510975,896800618,20957257,667136626,682967420,784432860,936889935,795903918,709771676,389322139,709051292,427393296,565935890,697876732,299955216,37364267,939049548,940010077,831345644,769648045,7767575,240758134,871547295,684371172,340981263,123073219,654636490,150638263,906037085,268941026,825993582,375449959,888633615,727905021,434615509,637455730,875646512,980782540,115616482,437050826,625133362,272940390,53279330,623642143,650342096,800562138,373612502,803727922,134013241,722570984,925052253,681045189,595119700,403399826,793811892,380288517,452016335,298884778,418798496,559519837,446947295,522268675,746812883,847977696,440670840,967253108,883729101,813625414,470472376,497893062,565421185,514770449,37886862,422107130,877888262,805448769,317842972,106716364,457077222,487386776,619884017,701647167,323450706,924675576,610525255,842585852,652421730,613903086,677038111,150424496,659692947,719704394,916209547,121672094,529693614,54797798,355035678,600808582,367375414,294615020,543142894,163510762,20182205,749075965,401998900,798941538,766101146,554427678,116285338,690396432,953594662,30152042,265342790,624927895,406342314,504305670,144546567,842780975,215600692,383314323,601198807,274737470,838130097,266973847,320987561,435707079,860112419,359254473,497999205,55304625,805638418,130798849,690412174,830031540,407276482,329203935,553667410,953334599,145087607,752962719,263446847,65441300,546519690,615474310,110000670,113613743,794313965,384112437,979174410,13444838,286743230,960285697,540069925,307282004,148409652,818464889,883057580,33644699,436034836,140356312,2184607,761906890,884268489,943341822,420814233,572487785,292664984,987956843,717597808,509417288,767309817,559812155,695660327,395390504,534562117,391757712,7292167,122059701,957559000,315275253,778089919,701002690,181426825,43522511,874544364,419889381,184640792,257743383,169919953,162725719,530746589,21806025,476313762,636951355,800361405,199108840,382194066,171850,182032140,882473899,419825710,230011401,326551197,538153943,279350642,975678077,292781118,229768421,205974333,228565731,815782915,517567123,413415691,754329842,366819372,491593618,71984570,779202181,259947311,585952820,162426984,952918457,269362805,337253256,510218295,649671982,178624419,94501319,439764255,113656980,749911571,87429388,852778470,526001577,540223890,631124558,311330614,497745293,54532352,771725480,330326274,953422291,771513107,447191508,895359470,584675952,909682893,842294783,539964461,543466915,32259542,429130140,244716802,588018096,186919973,13737814,611496091,614893652,498994654,352651128,801803828,919197043,485607819,108949943,291446205,972551903,516407308,413126928,919424637,896930886,307862015,814033447,318545669,808337199,552441836,142526986,482161945,333884475,227902651,375325318,39716905,761194257,562130061,199071171,131669099,834118162,374503943,518128121,631198166,684089095,833168999,299036033,936907476,480713720,326609459,696062255,539999792,341634517,713933165,60170184,969838470,98234515,143644328,447199661,567459071,173421784,474477103,591538911,157378742,970931835,885372590,593190162,943680189,843782140,856553820,961005059,335999118,132469133,866426887,39003681,938035445,64233449,560301601,659620340,67489220,854908012,499436233,396299190,857356731,420885009,753668604,579383007,494250532,754370691,807814911,393671176,350419980,763643068,91942721,298664625,513244281,8797265,470654720,617081822,963548162,234261667,829281497,314920608,852863458,490662676,868882072,628079678,891799838,1812998,873499912,38691623,841533297,167964955,605066796,924624422,691771372,439664955,942670008,654484888,170748298,747733646,260786379,842420800,181424110,815489453,475734791,700185636,608358158,226858118,681415459,96736907,381944746,827521318,703542235,155532871,407634914,372097683,672932118,612165085,806007121,613165029,728944103,729386837,573812128,98208085,38742914,660565653,443433587,942478662,966984816,252301134,295644383,508400964,83194518,726833898,196571294,330906682,727945202,291177859,357257567,876350021,359804581,882466846,795423888,933717538,304795984,818845402,821064879,710432881,740586928,111851235,468896735,250315980,192487966,953249374,989150763,755387932,752385659,724609614,883040840,826568048,482726987,421891126,316418313,658814755,882765721,433597764,729608548,349705465,457684921,770037177,41844118,914173109,872405637,623957606,792914047,970234671,907160801,313272429,201980284,4415540,102294948,463235521,533767982,858366441,124631524,854720101,224014115,179269573,372916320,367664179,345584137,440079604,365731905,906576589,230396316,696038073,909298470,820759515,310697347,394387811,615547298,277554074,242064995,186607097,385874757,366635781,993019754,551073392,613802945,351339310,723933323,216823676,465630420,808511690,114580355,607233196,86344405,902961958,337238707,670457623,569227451,473232309,396057735,489295628,904032665,96034423,628704359,187767876,244720697,96169740,247451818,157888538,938261622,532502908,974541108,16598964,166183417,32806768,782528087,581059701,429308404,487507376,604568531,502854853,526553809,149028214,787161712,721618473,520562451,429163690,363157162,220253999,695225224,982322828,791164750,337571118,972845412,582638093,229689491,970221085,746856183,920073521,442360272,933867718,406917372,820222333,395566927,74262648,175459690,348950108,539590845,521928331,904073434,479738473,437525738,593836748,392311990,985410115,836419060,567219940,564571095,322015210,755193180,675048605,51872729,997335598,421763411,224809678,596705858,494207959,292840255,384390431,979223483,423783352,671024248,291182996,174291134,113857815,476449231,598988087,607520564,241186112,22518697,287485696,690042956,597861321,176692171,363583340,500981474,529131136,908673974,226738800,418333793,382108029,893220378,425323068,381068680,791606499,552518635,814214360,249422074,971167094,791650734,972366174,26095831,952305754,529716826,87264678,935598819,139411762,501010245,820960210,873972570,381154881,990483134,305807054,42694275,332779388,497658913,826675642,232820606,186101300,6452380,131556289,838356187,242900912,850609692,390292465,660518595,625249774,846890585,167185603,336847158,104004260,154733079,85737883,103773178,527223041,133049136,480461050,83233235,432387866,999455285,562474336,697237048,564983857,600563691,755456968,44454508,601539069,114678988,467756875,810206800,367692613,650823323,832450066,745362761,440796599,880985113,263314425,687540443,131547277,780405485,608983333,848629795,121713727,362244363,20802011,910794057,657942580,886873606,749572972,307550848,991001286,489857597,451765092,24809275,401834863,170047998,669445711,504031158,707824005,999635609,378201136,378164139,867185612,314606663,754170687,998551922,35869012,186699720,411247520,172236003,366586508,144939596,866778617,984875454,454853169,701985486,636092747,81700805,153247666,662888841,505645766,636735750,96800926,202773384,121592492,322859856,602275330,239591873,75336373,559535464,750299632,454604499,309692294,796412677,492429571,113770007,93921921,783255432,158894702,75289566,38253721,595188931,225206247,132825687,83053018,595960892,84200213,699640525,173035739,279346495,840446828,516415193,476285079,385936308,381429656,993492287,777499323,594569139,19299769,211946536,323193473,824004564,28577311,94173679,95509250,820897906,669474889,334962809,229030035,562798363,194378149,246339042,280893132,300305786,951277337,847652131,32535455,65399122,881898648,261940645,443902890,846479912,449779450,183159146,400912971,337079300,20824019,225133778,276749314,207861772,90215278,299106632,505867044,643516985,526646587,36706942,738687372,759633761,253849571,603903906,804589932,455301181,463014322,903006479,562828633,995624047,745903908,678991733,489876267,138401171,848635772,888164204,739694927,333582014,248367592,10721427,357446407,475434206,320664224,852006760,678803159,409826055,717744813,403299367,963934599,188580419,209368084,556102879,109670284,951323069,984693169,687725676,545295012,397147671,372368649,31046366,779217099,653421129,203037957,507225572,457427594,579724166,42025757,856843065,139552008,516148088,516134979,627741342,630564797,517878981,707225372,876224637,472062017,840849039,692335505,854080264,975812067,766960862,455687168,638096007,404799545,500240821,615244280,168298481,889187427,302653187,325541097,298196988,702370838,154390320,548368091,893741826,456499954,422473015,377587600,880675987,972887979,92848960,439985665,904178321,518756855,163439077,501601045,363576494,107548285,11079074,346919542,739876470,35332562,549592668,13245524,143062310,650389392,310000901,137273781,564696340,17657246,581107704,662224915,301333325,844074554,531132302,667724130,536413906,27187851,850600294,321326826,807319693,256619042,103256708,755779642,683467922,646673062,806091318,818584041,982805134,622763658,86972367,204299098,695723166,238374877,313058903,599409902,757769385,935094903,685387304,551967586,626401837,27026799,77264148,958142238,7021931,902537294,348505552,156417532,301182818,380969143,153256999,432625203,833405002,983108878,547444435,624703926,610310131,301214259,188384275,413424852,186605343,928205672,235866055,91155011,944142278,844056060,921357311,547530392,621366421,868379621,101890134,744294122,108400965,585535431,941223236,202413414,707964873,954375981,655806805,148469318,69933221,481973396,355094075,291842012,28583510,520303777,931691932,373652373,715224878,340120109,923074984,656566333,394603976,193378397,519399779,242009600,16249142,205159838,593127618,133643239,700501613,507148355,95810671,518804081,555480872,838952366,2722467,232199376,504242239,992972387,578617371,175243675,834856251,84288631,510090496,527454853,774153742,451205376,978473956,672055800,106895170,658257324,287447496,703310011,44245185,281613759,985117004,806731670,472746043,131297326,261766978,93496296,999631754,930502436,723861751,447817714,411571551,580752396,865672175,460794428,654252143,705162682,687675245,522234030,820100348,398260854,674209868,1073287,753762350,125031358,310295870,726360835,451312891,569659846,81852236,648305201,776455795,937816883,591725649,958549189,216967266,982968757,390179751,208660960,889006537,756009824,982146223,554521392,311129475,500014701,157545041,20332501,776257409,948679308,911461378,278846990,26078764,567884673,906617361,999429812,611685361,291493954,608793488,900727214,853224874,66347913,761303311,965239635,270941528,137700479,618612918,65240759,94973333,434948543,170983368,353121657,603331236,494893572,997580715,401807424,54371163,794762770,779150306,407431856,550733040,650085067,947941945,984061253,140142363,248444734,805084822,278075736,171120616,191257921,885867795,382869907,503122447,343798655,384161000,514737082,624615692,707356725,808810963,226929570,657378152,495090263,606067931,852630001,170937035,712454612,853122997,42120808,727284869,341096867,22916188,747518081,342960800,541434116,259919570,349127,993343309,626957752,294428033,737854833,708209238,309401533,89247876,338569055,218861075,751517369,605433330,132254374,306074196,512702090,752793226,767048599,504130315,491045674,341924584,910608849,637168597,981983350,522503466,634761242,842141589,568824613,330413190,76174864,151965562,494736532,745191988,61228323,410754245,300684995,901179527,299612696,795948597,984356687,315227548,325340712,720374318,675427002,106754704,157232235,273125698,80246967,154867932,945585378,532734615,509582186,296879847,504462953,965241506,731614057,43159677,597928482,330501085,201375012,293116718,789470025,412051075,123429227,975239366,959980500,355217012,676088395,860350698,644343162,42805924,850842927,617621396,399950486,579897164,827421169,938043968,16870023,369030755,643319719,49010457,847888143,392955385,861540428,521128128,338350848,821243982,175778591,116316082,441043590,498558857,67113237,365510371,865564135,895616843,743361912,755817912,274680224,667702203,331649606,296293474,265490951,797897015,427017048,513697670,276335268,797377010,316447667,59199545,91552432,251685847,755105758,533615198,280849262,571184940,477250279,692446598,598228469,216265570,897172815,512751725,459802963,47556047,824621973,801694655,576844448,71019235,782710850,540470220,439892195,305117831,227232427,471042743,712756973,123412983,180832466,675348514,52408662,175893445,196900351,256446609,175193596,726046383,82372866,983564175,866158019,471862971,884272346,390602269,436928712,614660183,644288691,422304872,41869798,181764762,261535194,426929939,923357917,87827360,60596586,247347948,769012480,479205598,931963956,967720718,290070190,247361720,62988197,230649759,987472641,196923581,3020652,265541235,950332780,218729854,595953973,585980485,1049341,472378275,915531017,966696050,328274778,332339825,100782021,669862095,634015965,431928420,876412218,471742221,341240474,26411080,811219030,954564390,662428408,637180214,683937983,991082328,872685635,274240436,614234364,84066481,292074727,269987752,730504483,59299152,76097898,33234435,4707415,321995643,291177990,219800510,336158875,306987359,213596888,804688165,76352290,866148290,268983350,515389464,350744158,232213927,229038912,411478417,91276077,76120473,239865962,72768319,674391680,293279925,658195814,145271473,718192601,442842733,141455265,411955230,787858555,341936714,14896526,108465692,907801107,363027072,567540935,749349823,874020240,335409888,364388497,81386145,353465126,28677775,271651389,109786821,210181167,810454502,4119885,471715295,392262679,272102105,795880843,341811774,608510591,154952936,645254885,756387854,309306425,182736007,80538287,671847088,839015619,109286328,927619921,465487020,322896298,762295577,243062349,927160927,478436486,981151512,627651722,297385933,129442147,764156526,605525100,582633598,136131263,274738902,846923848,966792777,308713592,719511657,29870503,948788382,857738320,489596091,948565876,88212201,963598575,218263680,888716879,863492698,313352910,224431206,488039853,746572565,960599248,807108758,77343710,165977337,314360776,860285583,845450648,331869266,231444848,485783936,124786773,692279043,735881960,86716194,533038415,395733870,481907322,79901425,395413660,636175044,7972257,667917360,963383598,190773384,795533673,885491635,43106956,309843017,219121805,609611326,525457480,455795613,323573405,20775239,634898447,392909801,619959599,4364973,245444266,311852750,398931584,836918116,830431729,6179725,365396715,236529057,410446320,986781053,759817341,412089055,683781065,220035735,753353454,839021563,769140388,27883023,972739683,78818518,185360838,623684733,143053054,638283146,636167349,349866027,107063186,878962912,813174934,758421025,701540056,85176722,640681566,78692219,246051071,172531813,463400958,688910160,624785059,48315934,750709744,303766313,856783449,931617088,414135145,702151870,377205554,671135489,29653348,49511929,477881760,436209714,135628027,802668726,366100099,403868931,124967851,32168004,214985704,978536328,490086959,460321464,149576320,97265789,976450769,438008389,339072412,656209103,119614048,418919804,209521705,914807537,177205340,581579776,831491660,359286813,799422869,738211743,483675752,764491357,255929965,185567232,910323464,712603003,360588102,308422388,944043506,630448956,719358714,369788555,930512707,797651110,146319052,268063276,109011404,801815204,194773774,598527292,686878087,953818032,350190002,132463614,946165673,914386438,929622586,31011207,168685941,37629321,295071029,453958026,68973279,274654257,880904438,911937400,954331410,491575905,662685110,33125488,830650132,250206619,137772541,164874543,517084669,781965160,49569870,281108956,559037099,987558578,559638001,225719175,807159003,440466585,221791771,893810416,273962374,591738945,136459156,111930935,357113791,77250565,920201686,27652921,168061656,509320230,516236067,228649175,774019665,303946537,912568273,763982616,814731048,771947795,334699555,628612266,596320429,359215528,682801891,610310506,93248248,546367917,716583227,509610741,125797324,202732687,272679576,1566601,599410264,579158307,986106133,226082651,9196670,452031023,377595955,367211206,945739883,934168080,411854489,541875469,85079543,643238705,803234091,930067972,61248417,932082998,48275023,699265683,48090667,40563186,410666315,310785172,954924700,64499823,576291359,803790065,763516453,319717553,631613305,134729877,309260974,570730339,298896114,624164835,68189626,201075232,930238317,832210948,387221131,379234378,581078136,163310224,626566813,651528636,314905808,13715252,647461562,425520697,782160862,13790874,318687662,626706735,873305154,222712864,819672815,276759749,443233133,827780705,794394959,133790435,241515,19590787,54039318,415013753,147581836,46625924,92889757,508140979,155224236,8908223,725387605,779871287,909809433,847217386,244412946,494377820,91464815,722049408,854090353,838274522,292201407,175902588,405074835,879817110,278636758,990291673,501230063,771141450,466565035,20134486,998308196,435346588,583540864,336495482,516189271,727287876,121376351,759083153,130222151,989673181,312390828,213376807,251154842,72828133,347163791,573150579,44801007,758426463,771117180,598612227,466033922,983961311,836608657,691703808,462537714,117702848,142700122,39927497,400286121,343350224,448272113,457717101,660334804,661323424,800828097,649898204,238974644,621253816,237644022,21394704,18123825,724149981,302630605,328909429,541812005,269743978,902189488,733845154,379746703,125592107,356348040,898544769,742083643,638662725,861458055,300704556,57960267,594348857,273938190,582957275,45761410,490665613,374629510,294037919,904040790,175524620,823512783,185239212,542256019,634630394,762726173,111593753,392390659,507474845,614478438,509120492,967479295,570781248,204366439,43729486,305249271,379815559,326375174,598175359,77027376,222130061,689566924,127085324,841837324,493629956,308368220,815004732,94011610,934500887,532192852,52085408,101605081,573464966,902797262,511750870,533480792,975644147,838130212,44067041,775639688,717380387,677544053,879614676,849979561,488806939,292690755,569430596,399265537,273423626,451424875,283165157,51614068,719900712,251749337,477550408,729368883,712658770,442348107,500498376,533765664,429132549,869559432,28391562,565553705,47536227,105120973,659717322,211334714,675586740,672214740,520625067,59518038,363774808,412520611,168758003,125511572,274552628,998319631,819850490,127700024,345733417,866491539,260958064,747458265,756555289,467356946,49025781,888989615,18955356,943318907,223375917,472322509,839264788,962731500,18373763,674186799,483691233,287699619,394382480,249063594,177133931,509862015,300434737,517869700,162903855,887831408,17081290,832372463,193902147,618744624,949572142,400018469,365338013,993611400,322078411,14412190,316317087,461222651,724835889,216746160,422324153,758037318,523416651,25971966,397736414,947742921,602889233,253001174,366678080,335732288,330947431,606806497,365220294,1462533,493351584,15010989,399621255,599092291,841883837,19304563,456186135,449885657,841039626,177284185,111779506,147872243,179645108,956344328,115186766,812040138,762983109,772874994,307718072,264128625,131825355,220738025,560712238,426321346,926309996,694145216,721149714,974693059,965643779,822697210,277136118,738418906,822884858,469382809,244975983,72422893,825364137,780016878,706408504,769934716,687462176,722060755,10435324,566990662,532170938,383736607,99254347,575147745,997568637,720203232,943868770,436527114,415693868,259218282,722085351,518246840,789285592,898287526,449102767,793181179,806927494,859547188,438742317,940060614,292255655,958912907,371037362,201573712,981341186,288688140,430325864,320442932,780183623,577630137,713001794,303340728,611301852,428218252,186955055,278908837,270473175,183226485,178703264,771768930,720853870,88148198,378287345,339613481,348088268,245394542,836716854,759825472,908951770,237515786,735892832,211334542,231098168,216322645,218098514,631449621,687141486,265281288,278197432,69428162,108040680,328544366,800536756,970680472,699575151,898791987,78968650,16307726,622702406,448488082,367967619,577500600,487433747,350902033,207444368,6486453,997194843,91199240,781881569,565525725,524532906,950308773,520693729,734788432,242228010,818281151,629790800,648718418,904644692,121402358,474885458,980084251,615086010,463128921,344573756,525003540,723318395,976922538,317083106,283296013,862407203,167985345,840442640,350835330,409934654,849550879,323058386,772099836,607885987,699209238,346998251,52642402,391352374,780698389,317688305,655360324,170564486,991941413,825350213,279660862,437709892,460395511,522703863,282638873,798741780,303949678,21507056,440826544,935580456,566382606,310315614,816346169,768483402,621481847,423729807,792883632,304454996,114261947,293553660,99659489,448387087,199109541,952110272,836308647,797452788,192339000,549022692,871819452,164626996,378127861,539590116,358073785,367549194,840830866,660700424,427730165,54297020,356442819,290476152,220104825,459576902,999402942,896686287,445426452,643790002,513075886,82525027,169543716,698723951,759581233,699779422,683931787,794687063,829398661,516972090,602261659,308926345,677469924,670347735,945214899,825680089,8241522,182300987,402365909,952625971,476530458,300288408,345324021,357096280,710901085,367581301,394396551,425243208,344131463,924836572,285854297,71337918,105265701,715685044,516631475,366651059,657335452,345644403,948985305,919964644,635711434,528617184,11366851,534289110,675785459,534705671,76126783,816006469,995607326,384685882,199831315,612393616,528644132,957754555,209018611,934033111,978354087,894623191,418261699,697116900,44726549,778752118,766178863,216824018,703269954,35429709,542796113,239394651,582379406,233127181,406048947,558900170,204179245,417179470,771912667,482475141,422713235,243589721,466910617,315029013,519291465,333177672,70010498,592445348,751078960,779163065,277967051,84403913,534077,394046359,288873084,981985836,977690679,873750047,551270972,164832864,145061495,416200494,974295365,344822591,566522641,394473699,859961900,446188157,468269894,334770446,434540463,525282703,518008808,138474383,25529740,182237390,151235695,26344826,33531072,445908646,66380264,595050779,210308128,602383865,841614987,759122598,936076986,977793448,33324623,789627345,327289047,311287224,591140580,516757792,61023073,341015749,403758670,447860175,584666818,670864171,632952801,416670365,318826498,496678871,76700048,402700754,684300700,531450029,816085483,665673479,808178120,412534582,994907815,96165668,791820198,32425513,414852364,894644088,875719614,20165962,129529423,309917181,586839102,252804809,272937772,405548376,747082929,918847590,892213693,448849161,287943630,560520722,41099651,344069311,858964086,769684170,703576234,391544911,92824821,615926077,769602053,916677045,102206603,318539689,74144617,703594238,691287905,942643365,618831238,933114262,176965299,383399242,850203575,33759475,650444141,375407612,857817471,778523635,221032336,777163111,200514448,703357632,165062472,554418890,281181784,21261289,864941665,576299760,913282810,802828768,90390955,895759223,743317362,917647131,374328911,755006595,78037841,203981221,141915330,123334474,544662014,894688957,3129072,954368147,141821580,247950886,697919323,73395494,808137480,767182913,469678548,595572320,740725689,337268045,53922488,414351769,788250364,451288814,660008309,277769666,370460378,202117331,166543654,909647841,667049197,133447098,538465467,750734303,975797291,781114222,696021313,864547752,303517401,416907372,688001548,420072397,236845950,699674629,277380358,676434434,949337122,138406650,265935489,286705836,189162265,285574170,995700635,598584002,768369647,43546280,713026718,927855402,645725818,261903090,916533087,624912356,879589763,206625452,555431775,955024790,624556438,936743494,31358075,838955981,688128976,999217717,627490669,996100033,725827911,580876210,330838545,66631684,538614394,489633817,521347772,434313671,414628404,910033903,167448328,315242897,964579390,457698856,393133320,912362879,422170362,625976039,426071329,395426705,24146330,402982785,584732950,951238810,668978060,896681061,399958118,372286825,906345022,361242009,642826278,602671653,59921087,470883790,6171240,221901154,80530451,940572475,369272976,159050404,626040046,789581909,849195667,961184889,919727631,983864478,357121036,827878426,811879156,171836076,250128627,933243951,30589691,225427713,882202893,566548791,938475743,127341287,915741228,766555079,1587683,116582782,931155138,574312519,310839147,314016824,401561679,428044190,497317200,872400778,417863236,954613895,489975298,597460299,954001842,207119449,239738147,371129008,707484338,954659810,922336765,542583172,670247651,636164531,205599344,62718669,460037520,196880465,739780648,212633100,27012885,736275764,631100032,10051694,747146176,746685209,906101682,638654241,3665865,451057269,973533707,273054449,550430595,6111708,564292081,58941981,778661486,670828682,659013828,309910666,259254310,158950106,370078691,863150754,46272462,397948660,173077842,846997377,42851308,95765996,763537080,703396496,673249894,691860202,551891619,837976032,884398172,73793849,905707761,317074207,164652720,470142916,562619110,512753340,986492838,642777847,6354271,359970889,801994792,845070482,785934339,360976462,334116721,992059265,362900116,245354145,676033522,505767025,140117135,233586667,66056534,278047158,993172274,509972581,223966186,972589452,330989404,254798936,723919868,592922515,187272287,187999862,793225844,312073504,833592618,106063724,287152445,692831144,558874070,136455,734432171,253967746,277617807,576753285,359764178,551347414,693962746,19094212,67450498,445978811,37677300,449619456,145710235,609178657,355428884,834651818,801628964,96016193,564767128,378598268,203346166,976963112,381938699,886140668,778394259,359673223,377476822,143427020,934353337,979958483,635584437,319117582,178804381,234172140,851191527,957856759,819713313,48368099,313379989,265141668,27578257,421889592,873158703,914122338,523946218,880484083,707135768,208939077,318179490,967159963,629485146,386213878,801049463,722273795,991523032,250267709,126537048,81496523,640515931,198373371,624406397,690392596,136691034,555056998,555406152,884538362,123571657,749630188,800979894,244587021,83303463,370619012,619518176,157275768,11497896,622720070,671269785,523282528,804156335,662596981,194858145,29610450,476781315,764794912,854829465,203694909,815136602,656488244,90577211,656491398,601229421,383190077,62103533,360943589,538290737,526682119,670442866,769246126,227917602,557877997,274962456,939530476,872630531,968579987,266390249,237029062,407334818,349939367,369895639,371741323,824838518,131948779,285637578,280763227,354878016,547578866,689476647,727212434,824487586,194384146,98863431,621469240,926253645,747369952,212688618,939484429,120734020,566618824,614910812,179381690,171084273,826779925,942069745,345361741,280173662,360116255,697606655,419345688,537275267,661058480,47022952,47462942,509742274,58329263,773025156,400566257,745855834,30907139,506000243,779257994,246513674,355884307,166800364,834782723,396558241,948565471,577477205,304789289,11407914,971190835,381684561,905575601,909173908,648280308,485640651,58122435,384028336,290523459,696595799,847206463,214293134,973786974,25808633,943138330,689613278,354657283,918895405,109585189,492224537,305621500,844449536,1981115,810973767,851395130,719637352,274906634,877142623,562281547,167072742,837587774,444480348,753273110,494400930,793335570,495633575,635973932,177437975,170486243,255364801,331484739,465741292,186863186,171779898,114244391,725082975,210555636,743904882,597860982,253161427,161114031,634119906,550759000,836848822,21689123,369446673,588286219,55398026,230573389,731041143,945731857,220233530,483267707,967827554,942676206,98628368,754374776,114941647,81140203,416223918,676441875,675455920,132599917,426846667,73361693,185033784,750489822,39651952,405973134,465673550,509036968,818463127,265241464,917527218,188951446,504349793,32883883,848637096,53285478,547199763,558653589,128690823,704496015,622874009,323620467,564213773,111470097,589725659,165858007,502967771,667204064,571311880,331891928,18241935,472560382,172068734,583812279,794158111,354478823,257078024,751880093,593443902,651965532,75093005,208425507,156636638,524092256,183167082,495736626,794473942,492658390,166195496,768407698,768950583,437172722,35665201,817233433,80438376,907797398,749557771,898026295,683045057,151519936,827194715,764204640,217458895,133776319,144599035,411921019,704204086,611453839,374162114,824891507,164122143,836589849,605615611,217859112,902662874,394831311,637607254,575169282,800030381,497002710,650997486,362524743,747174634,655357890,305956891,925098283,523114204,387867506,889697959,688435396,165792841,768286970,389520063,387448565,118633801,787226464,650070003,429046251,163609428,34668457,45521116,507464393,393924576,389093615,372333314,360527568,965853717,266071460,660485360,191997465,916152290,651805856,598368600,237711689,38559696,428570160,974216749,133675820,6280369,168162907,569527871,878645378,156226192,350193805,331679186,300322035,482208536,321889727,24446613,941566190,908115494,731258454,161618923,998974512,326543059,961746990,74503316,308675290,469927472,494480207,936011220,464596640,624191746,456928972,739597217,343796821,478940258,659655766,596736287,406440355,807422328,734603455,973533709,175194365,6802303,286586552,448621027,534532358,96179426,292135459,407754378,652593551,631127561,412208706,408544449,420583980,583759519,761581033,319115566,62674934,279907075,138681886,421503296,102404411,295022457,63742111,187607382,895411841,680644612,23632721,540849616,330412243,150963154,76280870,501598607,123651771,952848533,117513319,97193703,487513383,386282671,958151797,289889111,485698810,104645018,780481315,38401948,670669890,639501121,938114816,219689111,520213635,262283309,901302393,145396696,308235606,724188792,781008513,719237187,889455717,591210483,225588961,27177056,668694747,815247160,948883962,580962229,679734409,469728341,323015353,221388750,661419368,389042475,718632833,77164446,482039392,337108227,636911021,182274850,630942894,140126897,887542240,472317092,321141246,814471726,117989669,54600151,473343111,700815318,465520622,20765598,836280753,216748760,763550341,127731477,255967670,259660875,647270634,477714936,283381924,52246746,230281456,984787639,829501764,972165415,906448818,969318173,462507029,92552300,863123364,765538974,437440798,756256034,923776637,32056350,24811060,886981298,602058500,264335022,746931616,411491479,837213410,820041357,693066443,611621254,746392781,855064473,292305280,388639735,233304939,966715940,41113925,403423047,708150866,568135508,776887607,374190086,924389812,714248582,904221726,152741436,879016637,864085822,59878782,339091149,818546947,988330764,97271430,441932814,691402693,225305253,78986220,316841370,313930023,141049949,839597275,244201107,443706712,96415466,105961813,840280439,188656385,211266547,227850165,924837827,239145553,526357369,126252816,374500394,682798911,493768817,639718544,106228260,117340982,649501511,96618806,162317011,874923341,549469094,282734706,815314049,361274868,512377781,911884384,131613660,663684499,419153345,249152862,322501649,188572320,498036905,878038981,593843880,169870020,616140121,770874675,100848267,55104098,329740501,394034196,572975122,894579573,998198764,106549152,227666644,2836009,765729681,623818589,927027639,176660416,513200766,225882058,857449297,644087563,881121435,595379135,507260066,413532575,716775216,221341108,36370262,506327199,415802787,924595018,654820986,330125572,262200142,184486541,510103948,830605770,134837001,94269470,478558788,235182575,60056264,805417912,88630908,563426627,218106157,565231815,419109602,206642620,918525837,62112315,422005459,16639142,312842017,182910673,76826371,846928365,356232375,484898203,337821222,465872814,944088378,15087559,128258020,778049658,284849438,784457504,46880140,505785892,746956277,508179008,447883665,919324739,608501290,830995999,485924863,465375762,482114104,340130703,17093569,811399868,70430942,458342214,210155644,40316310,329950439,287198863,534650769,114407704,130577434,732230435,499066347,74131918,550179784,898442144,764086520,358950083,766651477,725557112,473666552,228164578,436371007,81359423,530979699,190238962,447048702,530559015,560197666,33071433,728001303,63608677,93676469,596005987,848681828,749544233,717900358,872554931,856171127,428183314,303951902,452565174,107475052,299238894,645010815,414789583,773897863,343830692,376562730,660394972,486295161,124868762,669751826,751470236,634277053,156396053,498138641,292729184,573010447,100913693,369560033,182003488,511811917,736236010,437125361,949374004,490046333,963246738,259620333,62521003,774297932,955152851,349796873,96644811,684452761,225123239,495654107,665507123,644826919,898484919,221611021,985274848,131251482,311112178,70136389,181540010,734200283,913073446,464769328,177172138,5261052,827149502,474126408,565820391,219211892,909448638,241715063,308749550,14472089,569050805,343535526,930181590,833644264,893491197,271090975,513530281,940042284,192547564,402588308,682207499,41912788,400557369,256361116,636869369,23739839,614110853,604785610,462690687,74326839,895282858,887949286,760621772,334884756,513525968,156437406,29951050,397526164,112040868,833070821,295693385,132005261,255298664,92467741,631210150,759483409,36629504,898419620,972486626,191051388,774826495,913095695,413846008,616358602,338284152,166215278,172269282,212904639,458350559,545964413,97697848,755076026,338637972,49234415,36442070,329728118,563346499,532091694,685054867,604027800,14829640,182546154,176340308,5970052,1529375,962178547,634141329,465778999,516715593,853361205,431091494,501136499,347458881,572265056,710173427,45770766,220881277,676748598,745303721,558894565,57210969,643780362,412898655,478867975,152215999,569997057,267873507,249443369,235410360,428703886,181261863,241561832,511995468,68413166,811839632,303936858,812875274,654739770,834689175,951191218,688404255,204284885,196593660,64841274,45386093,673865389,529302137,220409501,379534571,813213470,560408080,547992729,44453022,331186382,475814994,64313694,814578431,514007812,16672094,802306469,972459441,1405550,384064935,595300303,578709177,434360356,18570009,492655091,743778801,676181087,103725683,480492340,563294075,617802667,679123288,785004296,337531899,780442449,933421412,266253070,834571921,532186986,633963417,893331951,802755188,596103921,13785244,4098596,229324060,345622909,976191160,204998233,655690564,255276044,379248461,397004064,254245716,184762418,94922417,992515947,256114901,422046468,51468799,52340223,688582806,687906851,572036359,819276210,538339145,553178285,626307946,732707498,815952838,687854363,606507813,748085220,324390051,167219874,686451017,15435942,234405244,259246610,678499730,689580899,663503503,353470968,869455633,690144856,43720259,957047650,781346303,489283000,961001681,768259120,563994147,298249992,765666580,586816110,669859053,164042926,36223189,366936781,388461061,385332579,781593369,872854379,679735822,309149234,165421338,118607777,986229295,548718956,183337636,437938332,841444483,110634513,848880614,308441849,974393552,874895908,891697552,534909088,885995416,230606857,67928181,969245224,311475631,88682426,803392596,628456979,741452262,666455945,914324247,126435115,582512021,519272548,451281495,445846504,9340113,857461169,66787062,759500984,968040814,142876765,580470482,423852676,602328049,139337477,11517719,703464644,978035012,146970103,127319194,936176880,606045078,242073569,332581814,948270084,794393449,421769255,93068290,935215521,292073598,321062439,483426274,780692179,419041235,64015594,66295981,676436652,581821969,960822588,73672453,579836988,82330549,516742276,221577086,425104969,976741976,236762320,332853018,545053451,373746288,717925409,62024803,100391442,233542162,130767988,875196115,665249421,159270098,626072642,658319413,751338394,146901992,207350173,788318092,101182383,241154502,971649735,409785466,698181415,203642481,812299850,324022699,962931526,62539015,688597261,282811166,663467257,482006783,187847878,354765320,134338525,531267570,877718625,789444174,744543442,935859526,904182496,610004400,515797688,317200449,591291342,685184438,118667186,768625404,219201766,469258478,403895575,294611592,876292847,777345433,379809622,51052012,292041340,492392263,767892361,615218279,999298346,779972011,900891841,571241560,307078275,998736286,642246553,959601829,320119988,382511917,662441686,178480874,247654954,929544249,344463283,477424845,451202124,189567238,400523867,975841121,392592330,11305005,792514394,350777665,221506667,649603846,903428383,868488500,992010851,244213724,522071303,399331904,752846266,717446057,784245358,464632713,713090267,629901542,5979383,161049790,707976485,410108815,555842951,772616111,220238375,741365887,799413046,176572416,851316727,926962134,223149574,13540494,378737186,992998791,590823221,672504243,761070300,555175928,500008875,853134766,866974787,405924346,540839602,285927771,824890779,431436321,484183082,443026111,896769395,38004515,665761414,610806104,873335971,436742526,797176470,247162340,143293563,352355954,590806481,637428822,706361473,406562930,888393574,711896362,57238668,215002429,866296990,804173396,144375390,211537060,534865171,137994320,177022526,273808417,552052594,345234863,33078003,748187637,603670321,107893423,904905425,425626013,501838856,546161906,734164157,529104215,792152139,355093769,761995153,140357303,83384383,514916641,174771544,21125058,624900121,266162051,605272175,653629142,681851646,568736596,132540582,767448160,799996207,135942914,655733352,366303819,793280790,611307483,916268811,178812712,840116499,338407692,682996055,894778566,167853599,731381734,916442293,546891301,667358817,219974891,505135635,426043596,810986119,655034577,257103093,661292476,185861926,307767284,153894013,506821987,508980076,66632587,571228972,660551259,246533494,19579730,576449067,554374940,153977045,628969390,226017798,246351962,388977965,53900891,354115890,498658072,756071954,850359907,93994583,436697835,720723736,515721514,613434902,106865457,505947037,638403860,808295164,729253157,880018396,81162229,711371909,938192712,945251039,859134601,261770885,709373395,553953846,345946735,272986839,225462337,595387169,98283278,462863000,164134955,227957351,557935994,367290060,234615338,383629127,400474607,423925389,842745965,32078394,24310237,634158729,89400319,591082560,903585444,776117466,109950290,684585224,364465125,804623536,412109860,711942302,18311294,245897873,453014637,55152324,865389273,149518297,377974439,833211359,333945366,769963559,75356638,645490890,681127287,391679875,390282160,371660941,257553030,52615770,798331209,887546323,836556725,152532505,873006083,126803876,835365876,109134314,242953122,129750628,761392837,779969953,153392061,476714365,507910267,764927499,633279638,669276538,609436605,725832898,598418539,370711033,696251734,232928331,630167100,257926743,197299157,101098435,11895779,389301816,801476641,70887541,852310241,309380863,225539641,679665913,461241915,553035879,639447514,200877404,517417934,164014871,744383796,54007431,224962933,738387277,722292966,156298937,249747051,984485339,295141878,901871191,640921448,942569742,815469543,656219174,900546188,632180714,369072909,162001296,20760452,564674219,835753474,10856907,887290682,43029118,923480493,860275255,87039872,776583885,797943828,720684466,958498647,984037133,477909959,321340543,891179127,220707342,89717912,383691709,946552488,69462298,550589688,799931487,469893510,268830432,894299794,305961871,981052648,572534218,181346385,105499890,250194,872667217,956700602,315409740,802200404,752690264,121410575,334993662,196414735,832492768,10430822,867400784,356046982,960588787,359461879,271850193,979439225,31497354,866349260,833557393,658854508,706833655,708388751,248058960,142610128,930394695,799924094,835865530,229237829,701905081,412365567,707752529,357127092,810034856,846761987,656934889,783737450,211880334,569314146,836198760,741944298,259229372,840911744,472239924,788209950,423830439,489493141,197526530,115721397,633897245,768787423,94659410,281777707,568557542,719512776,961443319,971386178,73647506,47079709,102893908,384097448,332681764,36731856,392588047,764509957,988628050,690175947,664984852,985672183,883168283,531806955,493968347,877150840,209032568,271336061,454810027,475272578,832406769,62139852,615806882,212908758,760462569,288876513,89154227,730533561,79779648,603794215,913442975,44766524,373544249,531817658,528441954,486228888,556657020,269613074,193296809,764389271,635160535,190641955,377186741,108495269,513151972,589046392,8602755,50594510,176129120,873052628,811199530,647077247,173554404,53112316,956513949,478752432,20470136,125904903,158014537,716075221,235589274,482410508,866212216,790702026,82815604,77029717,913465628,222536605,85054611,306337598,993575545,977995019,481851437,920812533,868626338,782528655,160180081,18077935,461059224,560186127,850018463,424182941,654163302,222488716,10256981,847556410,403050898,508968671,746240266,333294953,262243502,118428282,21564048,15181469,811054867,992703648,91839244,147793301,87850505,500497479,229523453,870672814,657004922,217029909,969353578,116920950,620054016,842810726,500984010,677489002,679168369,41564173,315250962,868043614,204039227,565683346,831533692,806000751,326332420,391191059,305020645,941826191,17186278,824892410,134307296,788432171,291957981,878976367,172348229,213818755,703021027,303508303,555336737,358800521,184889011,830421811,659712179,306044163,248837509,457761546,611085549,267850848,632506504,296497750,836215576,189855820,140032771,146409046,411628952,749274722,386590667,459005739,645936650,401483197,485950202,516442988,768244910,961052450,692361752,793501724,330883650,143138272,252531601,512221284,999049882,315272965,311766223,417656279,360721642,714067250,510577557,10837148,563844378,347380557,936695487,696974712,300025871,81438137,443964501,510470680,988913231,404580211,659377072,694064696,989397113,662322212,941588695,89194804,453469784,920489560,305552781,741781491,68173110,362242289,156518930,316399963,301533072,126304930,830853669,961339731,635118737,675024543,62491937,799161690,729766092,560468978,798423685,702084912,507047615,951047110,106712354,426041823,626350523,582533119,898470229,752921218,945176809,629906760,398341733,456065360,903773315,987252827,915091595,263008477,355972536,977503906,982438077,74890398,491482432,42528573,727628212,514691220,258058808,540751102,180193999,889888881,570583758,418461411,724001852,559951606,764716344,998592253,675745745,441215420,98157543,896273590,973382377,778867677,945485768,582834337,67171212,331328640,944809020,482413825,214790203,514397300,159079388,830102444,589394925,124173729,775617282,970606297,132275341,991229881,62712924,107616951,681252251,904448150,428671037,651794328,189459514,605123256,445978191,22441708,176819952,413159888,134087111,855664427,695622054,330995284,285858328,686630429,594779598,622233660,611350147,718272547,114704604,927518455,857911838,603121300,404478076,625916027,462289930,997011482,741125465,730947637,169307885,655708396,711616632,735386893,658579149,569288636,477798521,681322620,5804326,995985714,393474749,853792403,603601887,78699766,852329616,24118142,423357650,385227354,858799805,690901980,607122000,149343097,411395371,394632816,340423309,733513440,544661042,87555993,329665262,59354086,922980016,557638742,914737796,620348434,896429734,547228135,834738687,660734821,137167733,830240000,511622912,807254286,970536620,641764585,794529024,192210347,121389060,497099197,99361069,227586650,610153541,866567829,443762790,95507701,506147194,654789716,991266106,571491373,872338392,768088112,874278444,971201339,718587376,348082345,566757563,443335132,776132422,778122976,985347431,190390745,38541135,674262698,785024726,27716429,803143706,433979900,64636589,238339954,53235219,210466020,158379120,875308463,367740048,372293868,753720663,399499405,667224273,971410951,342962787,933527037,476132832,125948861,536317697,48137010,466080253,197824550,245035368,341261197,543233450,55811546,726681132,964224160,201779490,893369030,541353218,725169368,541133225,159165321,133885138,698453426,629988985,551982076,517004587,254234687,27790039,383908732,123069613,131850383,434176995,531244357,484850168,498131765,138598196,113482497,778416353,94721209,451190893,159977821,679427274,995045116,958321411,434125642,839961475,478284216,400450716,246398862,318671510,642812879,296582343,950765967,343118991,91617403,34576811,923387482,104329739,39591161,939073127,63331887,369188738,20937291,738295824,257668192,212518459,215489932,837601823,67748386,791453284,486952502,715655198,228463830,468638996,872824691,843251702,538860972,458216988,920442338,388365947,10710475,790052207,22685895,48412841,35769442,840260647,169985529,774933836,423843688,794733691,618923052,91571890,878459848,757822313,322226255,39230241,511287672,658309944,548350442,921103811,520057964,954295128,169154439,895254070,137947369,856039908,610063352,419194340,191295383,671742276,890759003,31053884,540093289,288155521,446998247,22620470,351238993,359958736,690081398,790214115,305016075,755215457,12413933,750311770,939459555,356723874,810124083,132591586,698691709,830210807,598819465,816740495,298199236,830979661,581507527,391735400,127304331,75969691,425515929,342000804,837441500,332714662,487720495,24021979,271855128,78172424,797867928,522686773,899805025,661130702,104571001,419588984,402903791,58225627,945046951,101827033,76568176,655312802,339041752,671884788,937845125,931238443,78333452,447946157,53761225,423078245,739714513,777798790,750441296,490786544,250031627,799261251,695794988,184906180,500915905,508933387,680351870,381061039,439598959,818993431,74136503,564349790,296262842,753937425,690659817,323597246,796627366,916447180,528099324,241346275,492671062,776968066,599434574,561767688,959305266,820244174,896178473,186492272,434097897,610770889,282407166,56902412,118539099,978003618,659781461,814234193,711073211,61894401,846772277,712450100,485559319,78523152,420006520,326529767,374181464,276626240,681159684,666046977,849747130,616598512,333301045,308968164,37964435,232947768,221194741,546430939,954285163,858869600,686407358,84622181,344901455,713907413,389337144,170607235,621009310,276654532,175147120,967940140,249695378,664559704,736332312,595607931,697693134,139094083,307850955,514541928,383319958,512110189,258201574,180723426,91283469,776554823,184461148,152517742,980754664,814319114,662960156,135636750,253349385,914580536,724260895,847118082,893455798,272683104,795679817,77221982,442434877,904692654,632170992,390703469,204548856,114993422,691713169,970452573,873381791,731143822,922390374,266599055,838091957,411062003,604946661,395202229,236354630,387045968,780577325,895974026,987945395,836125888,391008272,844164664,195174595,393744887,136945234,54058178,685479689,635656129,588076011,252630357,680260544,942668653,576110681,777784089,400781048,245151032,599232983,84605484,376887935,121879419,548715822,345814081,945644841,485115293,733881951,752498760,123389173,232798848,606373153,113144452,825117190,567523029,828576190,813279580,647146307,739524209,757189893,397229670,977069384,950657485,351320591,130511889,969949796,738285013,942037191,875674110,990920465,178910903,150396007,746898792,356619246,604170936,742016544,659500443,358723473,918281950,896686420,486006974,293226973,885358870,103912401,678932909,770540150,752128377,675427074,218740804,204676430,878227929,995476366,365592894,199139734,457604265,76667367,819385630,636752133,878506038,737924420,505560433,116616396,886626226,313100396,738912311,184483883,468340890,175883540,794292570,121003624,245504150,409232597,40486441,840794260,692448813,511791252,37874766,514797059,98359065,636704286,245313215,908413906,72225890,198323405,39130633,452962301,884138289,249682604,159919409,216258396,910688073,469365220,165186311,788377882,104248960,474582802,533077530,349328721,857262789,364013446,524293651,812231331,524801617,136305717,17262271,833773371,721741197,796148446,602845184,536649611,291707711,930904869,70381828,470314283,73741257,105529821,349537322,41064579,468986213,13763716,599047005,76558911,703427325,975542232,428966361,65060644,487485419,843671971,883628755,638431181,137595656,767726132,805244547,626040445,277370339,565040317,513850686,261838657,831264510,96673899,740814444,632617390,86038280,835594485,864228041,213421548,479094851,291672568,324190766,322607217,756529342,840013612,222968851,954419095,44175791,777372623,958988742,160111145,918780081,509692894,688206109,899516405,639400611,659253409,462586043,728862471,913486396,909533112,491905235,530233669,227911147,698079473,642851035,78270570,962022206,596634037,561163032,260374947,562540462,985603099,953968456,847792980,70625987,791302155,125568504,301636553,369625600,10425614,275779033,762998874,628768729,930645909,220475640,306891181,55253351,973129249,792543879,439238002,811524680,507059579,113022388,725015106,236371790,772239300,673758906,251968381,413749943,409805687,807267484,460352962,722778854,223214669,728823763,615193826,846639355,946990330,480619851,81363707,552242031,107563147,109057790,993388625,115610893,624487351,176474746,815921015,594808797,114786312,80144548,951299457,690934479,958376920,389759589,999375660,525894305,723379227,384112854,415911529,416451835,136281654,481276140,733234650,940359425,862549002,492155145,590675586,589368728,748097317,160851843,732048379,498063564,964202493,77999382,854189027,676813302,562742030,280188245,888862876,495100362,261987036,779813355,264210001,835294108,197780764,698252090,817678929,618917446,564406902,794777063,385755569,383039558,273381028,922152621,268937618,459910870,238659074,854781572,327930904,571238748,103176967,541115587,508063707,753635986,540015383,765165746,505325940,284579730,305201001,526308963,297748097,835265863,637660592,726792545,491267142,724531727,479701701,588358525,504698732,970020241,772359792,253570033,37174916,989968559,678073022,175782714,348784243,624914929,813559065,985301021,489417008,513227093,46490565,481289013,731593200,369824927,858469495,386360515,384591650,937733599,279436260,777763556,925588680,578157666,926875682,816877368,830767316,454967698,699084137,674783843,54297999,516129544,836647065,531295315,546573346,581317790,853546781,233455533,604996028,121109988,721547583,406080100,706575243,104596024,907727441,43392153,300571075,996728702,852935969,153658428,6020672,964941858,25330383,7866633,344604267,605213275,178962401,658212918,271350544,796897681,429494524,857864275,974011975,847872830,775452450,917225963,109704557,759506073,831268874,709883312,38156034,426348921,869451254,516442066,76822665,561177932,864126808,329882082,271915229,780381076,771990193,344153953,850304097,73052788,15645850,591022595,703279888,900736001,126744175,378365229,604124390,27487247,874166292,400173912,511972980,232217527,495900806,444196777,759297535,427204918,444059020,346903239,3706344,341040705,539999428,79185860,71402853,983851198,600741494,967706226,129618235,583187251,843982144,402034026,736106487,917181610,661340524,494527078,233587837,714831415,723927379,970173533,88679741,367899452,40291140,365954133,121937660,927210387,531463348,856873794,535483815,995502624,820475571,8993749,620387526,340660275,456994156,917527818,574901170,642880421,114578242,562881026,501926433,433018142,655642449,697780052,664541924,917355694,299157800,438645775,958636280,481877609,700794867,373887882,730375075,877371935,936361566,850279352,524208145,530669607,757143840,32109574,521158400,184831432,899240264,978932422,189977470,378080502,447654,522229206,667148648,901379921,818699043,521353419,579170895,305833511,714568984,656859123,269665733,566510367,779431071,320743651,735483746,775246984,367781555,843564786,795043394,285100527,36246539,207672564,792862831,337773666,555698000,341951371,211106043,971891172,813144345,786892549,642215271,56275173,25338503,729116423,522676185,795104372,250174828,858523887,402032232,649223526,492611022,476678411,270291390,15693461,672482803,414314904,113593155,16115990,622735087,798727072,861355370,490952186,8413949,398544633,628323359,512039870,552574363,550662316,208591101,36753241,848315029,585663894,468917252,264968041,704560704,444299723,546141831,335277318,640659626,752836734,563139250,469444984,71087694,684798095,893464596,576942019,203924055,820987409,382415822,679626818,123985216,88842557,984175499,414240522,732967526,774299612,64232060,406174935,640098922,240871602,447066864,702859506,117374246,627585030,374732317,963760316,939466614,544495906,942340731,613896666,672115868,293949932,109168853,228950000,770564756,507479639,288009478,368366821,471066995,742716230,961648285,739340962,318705611,51574483,656497976,703326415,108218364,194387320,515963350,448983811,873569309,646329706,69593243,920851821,787677764,913395298,152130889,821603723,244041570,121231151,188478095,868235379,375543426,592133057,372714463,400824957,57714193,751268044,99332294,639686713,422560312,290959192,803486254,120660798,531198814,468750334,32314678,998140098,347475324,96834955,1355991,606514038,124294382,709629342,774777764,939828501,297803189,929638475,906243058,282594119,350183550,444309239,628139669,135459612,377382812,961033459,961147012,218225179,753858026,47005387,119268526,84187319,149147072,889766736,439108087,840341551,200212946,836886434,162179730,260584946,610323917,508423210,244615926,357414516,492326865,161181687,656183108,288716694,168351909,770528902,340418744,117013911,89074442,807487104,312441700,186127758,881409039,289270704,562759620,157910656,648771508,217531951,247706235,510437717,129763352,950643033,393563050,337508032,184660720,875604818,37905675,210586726,894292444,350572261,296073379,688821974,712063269,10707447,462546220,772016108,672672538,804848961,626378254,56430630,472284107,580146152,647229450,256993129,421621665,671633012,357073952,964560756,550883350,444993969,726248018,427488178,37555316,147931183,328863065,855233192,333584136,259139624,984720745,541092362,883128670,176712093,423342239,771745231,952348026,582606195,979451475,670799243,898649324,848616293,517365451,58951977,80909402,192456033,692871465,310615392,362082929,768489982,508684398,151130194,179103852,984094223,416665955,3197287,918505550,470774392,643055155,961563237,979616074,183428144,420670013,996860754,926047222,77749779,725228770,163571365,679153547,541163985,602977917,398706665,85734279,480544008,810751466,45349027,850717862,278169551,869270176,51115166,476095885,382361110,837251245,957497082,768993455,184202269,859950077,509661320,971405485,236407553,717640283,853550856,793401649,632972843,909682658,862226290,959357316,204436647,713995378,536736742,952991548,680334804,22851052,19145618,678117439,307482116,153205811,766718687,964924565,461596038,481898140,807796086,990743908,309385038,727862002,690606822,950315718,939868946,63072112,373508041,861087344,283231653,449783268,826878613,433561003,745114644,70792788,941063268,356245450,597886681,204204780,577502657,544004511,739441349,98430762,109752920,208720855,751485650,914816975,202411389,266740231,889015861,987968259,793166087,78291027,436159791,332827393,945512881,65873306,215284504,57062284,926085448,760926427,826577551,772216329,505294290,473704696,473151561,147413381,73369974,949287387,373881244,612176119,555728566,927731917,891271868,787874652,811073755,838624392,827101728,509631850,783542116,341999480,331539832,363976023,11996466,512118695,754620592,842433211,723049155,856901404,467782503,897382377,871467267,676835195,779592808,986030577,950229067,98856627,39375374,159381073,804862932,390091585,313225029,727030804,237476435,453155171,54426713,492816759,297170383,537963635,352520704,54148086,219346969,354260240,231351122,249185216,698105901,598186034,882011708,432936549,51836104,568586834,126105841,643224403,840261875,327780360,758291799,375032871,597336859,113493458,566912634,337555697,527783271,10041133,265710726,35698635,610896758,388514613,981708100,53607401,459547942,785979286,623660961,46231950,126242943,608356225,763083892,258566332,608102914,671356779,1397073,44191096,142254083,866826771,374252863,16311417,245930015,581904393,35558652,121691544,299716204,814414923,187124662,288638620,768488458,428907855,620995281,744470338,922079879,186815401,452622815,38418783,790229019,706586689,774431088,2069856,989006064,450477107,851108427,255326152,694294806,401630562,463616380,398575521,703756461,179716294,505088941,424974143,981095788,740110498,524447931,102550570,132739284,658235109,504478075,95818748,722157035,106449379,208006394,242222035,381660331,652366567,347344272,761002608,171867326,690343006,936520495,477014191,68009875,93501928,675051693,268276315,672046771,916233613,128932755,467200544,472422948,564987816,102387602,227526395,246452909,151828591,606312585,307058761,557411488,370424569,89032340,506960839,276131785,848436679,698668327,961654345,991721365,132064428,378328657,683910826,144557409,618959648,71813783,399218924,212678075,886061735,2865853,766195974,617495153,697270645,155607141,228414512,405718991,104985402,909071179,719606221,59130199,759881300,819173588,93768081,179763928,604625699,200324591,602849796,134118583,810082477,172906198,217610567,755400621,833493826,127980123,658450854,533645031,811217479,677904482,222588886,994369236,843399486,682037897,578574720,12013653,204027465,335097035,315111732,327393925,680248885,684764707,835874158,267406330,900481942,235399952,622706490,67379273,963645507,152676412,198743202,788596366,406237611,398350904,949576582,339671528,598893206,354394093,264843762,495498317,527089257,350701406,406388206,927787491,560024453,351971093,828163658,431925229,619757138,478880167,984592905,349558988,829534587,528434776,892058663,713357141,9248783,664665037,276164259,169251560,348585926,593578992,903340803,795678795,221497027,502817542,35618342,400979603,731499642,979800271,407196332,564669933,558074686,395019049,721535665,282429539,488573943,933250501,330225075,253714937,220211138,786525006,549734019,436704871,870829055,427930525,16053851,381249136,643992099,718942760,989322368,811637293,415185126,610698231,888423265,969287506,438838916,138366119,541166038,725740666,377786643,999629503,928821251,717858768,724920075,534206307,403189912,25814084,163157447,995852111,456392162,329619306,146068402,774622685,701958401,334776578,103309811,859077450,714206041,261603469,928108725,233161654,721712205,418691156,337794258,33350305,32783709,478671630,703418069,483633424,208876915,8253054,69344720,267629391,233035771,900936142,401854283,898207822,938679267,171548771,520574583,680414306,661398315,671060407,540265907,375392893,949280303,170503459,973796604,394443654,723412337,621965119,445066719,739992977,615769781,628803367,103976854,732059094,53872183,653308759,870478476,759168560,488233659,695874565,214916468,412998035,54685521,767262040,985575391,828526876,644118554,332975218,595312810,186973604,723321804,428754024,685089186,564145918,683210362,499556515,985674106,478200070,810247136,743043645,222372063,577944618,204891389,984715786,181978068,107580593,85864710,898820447,43260270,670238221,523819029,935258583,203004434,209822519,569184245,124547344,512467178,612585270,20558147,787665538,791659683,556592210,175416882,726236651,141701563,93505999,147888385,667890873,583212894,190991870,479980260,22535723,391387840,787298780,93058124,936101750,72668451,785386012,863717228,253671867,897394463,659190734,443333954,990431285,551591929,403586515,928965751,589375983,856589090,157775197,133642436,25570232,84428508,950526822,96988529,328323095,185367719,706542042,899842850,636769822,595295984,940233645,912091359,781780697,548878355,320442790,903909822,744817791,82712857,311292230,528478722,851195908,88996398,594975340,128749510,630439515,968357652,362584692,67868513,271687586,982282774,342213665,293425061,753340052,781288379,862326112,32287425,810465226,416192521,356568718,331897101,62073572,871994250,976281386,875031394,885045984,891552481,769781381,234451312,250316431,180768713,787968012,594817040,270355675,818937229,498224599,548928140,427747260,455196161,748358340,989509379,170256002,430399540,931039665,424937285,534925473,182359323,804800300,556090902,978574296,307760437,128743253,19546286,372591902,56476460,378807165,418131012,1975259,74266083,366893828,806572141,898914921,435551793,447745191,637469510,608667604,859775638,780048638,840703647,96076104,805801425,132911822,488434004,888419383,281461303,741352674,86883512,179436460,46739856,449486812,295611204,373376670,304706096,621317838,246601956,782971335,449932427,602735723,311972605,678783495,700605458,659477371,834391526,18601016,586362587,490901537,344509051,465330652,822594525,97787032,518638460,180567077,492342946,681502684,643288678,839995143,176684776,774700403,717789181,219892753,13451939,622769565,214378849,959834404,629321624,685871848,270452748,564631983,197332506,899040303,936217383,219078467,799154720,88904390,287259286,724011468,623998029,838375649,588760377,45305176,552776349,761997798,55251434,370982493,898693169,875922357,63984151,95311674,158500231,88260203,679039867,588203913,280985864,81170408,972732838,569329138,842422945,964144042,363884329,442476882,368325060,849410477,537395044,42361596,595752614,386799936,861032400,519226592,903921042,941903541,135654896,13797163,840139671,855123775,74421517,85370095,768702473,999196352,632409162,456928651,436943563,536125058,546473689,27950220,930611099,376511084,47344533,391484562,767764361,158027473,97344415,913776575,540078356,425024917,268116720,383946210,537071657,960942985,507482066,162694725,424479755,780117668,304404971,596834114,236152774,390399303,886920705,819108898,952953584,637321964,81231003,908684549,654429049,222808824,277516384,360020886,835492480,542845951,603571519,757607617,407803519,711632309,57237206,464905454,895667046,50129213,442237421,986386359,130602164,454051425,773866938,793084241,803832603,491968114,866966614,250499328,794209961,626075246,101205818,246357195,662030951,82010131,241383109,382198310,259458039,915082633,48449379,258497781,70924140,490670183,567025680,140902695,214370801,52701903,785270407,212566968,903054791,557618184,322043053,521113507,393021503,223842012,828266814,19073475,986148657,189896,852137807,237369761,540867931,493461115,830710061,371944433,157096,822696117,926792831,790552149,149542742,875475311,263341162,498567280,865771817,24426181,298509079,808869834,60115568,421693840,443106293,697913829,681516370,72028738,936920298,580795652,145193033,536126271,340120488,641962635,273390515,818178222,510376730,621271252,178700516,511604306,767984464,232563748,79360784,551516419,660450387,732246157,323532631,57972064,881156697,811348802,41610134,496502972,622635559,552281061,734722058,906618907,281873751,167399539,775040853,424515249,825651876,387902414,390643739,178000583,988311404,286655957,907679819,889296929,433097819,186677888,395362472,202990718,450677767,466487998,37563874,222743976,700041750,395380169,226730616,349241250,548353668,906907064,874858547,273183590,797519621,710421006,110305504,879227816,505676552,430588341,479981994,407018250,37158322,898679763,942668050,451810890,511803525,243131301,972617195,380871258,149724080,730113767,223250783,377018910,271593149,30632044,18737223,721131972,190646947,906341616,256470953,555225760,69210624,20546185,705457561,870946224,695044231,75740133,293277839,548073334,610948149,454581225,313542709,596797497,655644050,711059264,595940252,55838734,39068253,985403689,926243481,889556477,131371845,431477747,441250707,650754096,233464077,357225275,115575861,485408887,963342752,887874952,43276035,37390807,542295634,630093221,404363740,202309720,127617483,508871205,449013208,479992365,804967991,407398113,299535925,366254929,453815648,313676804,728230043,825584643,716636324,821827781,945839036,66685331,893280498,358831257,402324804,350438085,426811002,238818649,25087526,186407362,931153878,691307129,288532815,976321592,62431988,312790221,794085718,77162742,877485907,436135753,62927067,773204109,271403128,778502611,635084361,509625953,817339061,513811268,429634492,846645891,852697777,215171906,724880841,956919279,911273573,549131361,152048388,429869467,396017593,851184803,74572545,768051318,213400658,99603573,105343804,190686520,392185027,522664017,694120303,209527911,56675523,444316040,421651776,395963385,217347075,44466288,357871492,489889351,802920669,649770023,753739643,859978225,963409793,429888298,929571323,470971619,77745345,426748370,465020468,332979674,928220097,958216976,140939215,97953022,964696223,141742684,186289647,658221883,743049830,429540660,190093878,323126355,966801305,521050710,114677373,601526094,389507121,885475379,723904403,318678456,451276075,429671970,822529231,103978968,726439384,25641118,340592854,730764981,799798571,420460023,625664709,558214991,15631605,336516352,861268312,455274745,209034241,971331903,774974557,966352428,216278807,568372964,4569074,146293084,870601162,26488570,631552141,475812731,539529561,421429405,4085915,115785344,434786155,787127920,531612351,145761904,635394026,542695510,685791596,400409757,95598981,620987461,109737118,782904117,778061290,187891702,898535816,852828980,951849420,383518035,218442078,698118555,936670962,438514166,66122021,361703311,901427499,301374907,36870310,524381545,613442444,273133321,797574704,130399509,678199395,620938578,244314952,442263189,233744104,661134990,567701746,52987426,76320970,528256173,712897589,996996707,616682992,361454069,827876724,271154061,545750337,867888301,839348783,335601096,335855314,731990300,866615154,671714353,643745593,663922261,952182175,820776176,152327301,220619567,986342041,902617828,433696951,791976096,306493266,398684713,224889980,557181767,154964988,964249440,894263612,771386961,947657092,896633415,624113664,776666912,417002763,822867570,149912584,923107944,666877107,419257748,343808078,890427121,346737030,387331302,547738850,617546179,960355266,323726074,973348960,914470856,866866224,197156719,797468348,3267625,989009795,676956016,834391531,784750313,880272968,896889303,830233481,312381255,457981414,416013086,195418406,481022794,207621588,948305360,471476670,596569751,474149764,625188397,81569052,204058906,102913203,523005083,99850534,887007649,477325732,366729538,840650275,422894148,465628435,48262607,174151921,328389529,166418086,93467312,516314761,303535388,949576958,699467047,997393033,664969059,86020279,644127831,703951918,745376176,878340881,695942934,649286400,890759179,981187135,180114670,790882294,931942407,830764316,880340001,915748914,854165826,317736121,537023024,130450130,908434251,7172493,899790325,68355339,374052090,144214997,512034747,103225200,194124971,846739948,960116612,296730949,60842416,678976229,671845545,992328304,496572428,647666162,258418641,121980297,694237378,886711412,153525843,393624156,784457684,597772341,52022688,205455739,407642958,93272043,301441897,598827738,397026192,316739104,630368699,971845475,802873170,803214281,754923550,486089789,369609056,243515302,432530790,613983396,217378905,39099621,94389371,201601503,859581589,931603699,585622738,319566610,706698384,375586861,29074246,169999605,124052168,913609096,794849736,975370580,551421987,188565714,74367152,672260689,950520037,37223827,986290506,944017242,159120925,575833797,246064892,611927969,302489586,602165802,143054344,831451768,758933894,300654811,979087327,952680909,397757719,858700629,493934399,920534327,424986968,240148414,507099643,899011212,279066076,386758501,209072178,848492765,936128695,905905592,665233712,236227807,130783677,417564679,529737034,99817490,989140438,666177881,879230083,144481928,141912285,8551477,700193690,925038285,537242138,845656106,592789320,931127923,883376641,729433588,123955691,174758427,56284211,413297504,502743670,257750454,196336751,718983617,383687403,543053546,628346681,405366919,574412387,76867974,789684161,746044209,174898702,458109634,441597067,515979202,709610505,876838107,463503401,354026459,415382132,401391014,806111107,871499976,185174559,747903655,646489773,271836832,397704293,339286886,333876780,577625159,943969644,53072141,750308594,148331955,465046877,978487670,950872562,696143409,421299664,375324150,432374317,461812277,644974279,466393054,801217303,845410388,462231472,454202013,714955848,824678581,803244917,455337797,345140497,554091497,310096135,300761894,25443080,348213179,935681192,133544100,124198249,85653258,847374360,908877894,588409206,210349801,182566729,835820478,819771514,85504066,154143941,475066395,126233919,631941065,397379307,620768664,237985565,673261203,650481886,518073721,153623019,669650529,374961475,762626756,98399667,702230290,153946466,357600788,452992422,931713352,763111978,616545532,877104525,183783920,198757960,358711595,130841201,836724041,262024974,708067862,968660340,683219404,67575654,811713870,8862311,86214801,223527303,35863281,193031781,496361694,577168638,906284547,124255417,878833948,616170392,494293918,528274238,883630817,352875295,245143320,538580646,83679469,523327031,620220447,162115359,377937527,240999938,965235727,935522536,167343746,895926522,659802315,770217285,305263702,468810669,468352939,905911531,687810712,574413858,895818500,344889040,628292587,977919306,758369766,455651981,270946665,817481968,746340844,321224011,938683223,977328259,134089138,640686426,576977307,378625114,610877673,195115064,842666858,541614679,333880272,244739958,486761093,679384644,779951154,235817065,457338609,427817159,25503136,664534121,449587881,675572262,600210017,12332011,143235386,56408211,360272817,455860456,316503537,532725032,788569264,981670581,275310502,715084069,405855563,629409485,303657626,604173340,590435879,166406610,247083914,311401810,880589270,120877495,245743357,268189366,642956415,34837734,480352137,302177736,165045449,922836688,378566734,760144548,500231788,451846440,877809350,914949319,859416058,151251459,723247753,69710364,393962480,275259098,777318661,606217229,985555004,62271450,301500625,388571345,696523335,20691345,931201204,521135709,717376752,590117762,261667524,492841088,8206807,98336501,94692887,455607120,103271578,492074748,631915211,844546782,104884390,168717512,480939094,978160398,551677547,520839364,474977305,735735412,481225596,361305453,853673880,184266164,347198214,194367044,382632056,998120094,889539941,89896848,940871449,642714453,909002408,971916430,639295512,124506374,333949290,656112456,653231751,838159632,998186450,952464663,18170408,51701563,480872433,713256671,131472933,435159083,177524615,255932662,277319763,358317304,117590125,382915062,131036743,323978274,895745338,833222874,198382548,818592512,901728822,355827384,687656790,411612913,121155545,236366847,931634936,132112060,681141110,242877421,516094046,491728967,971842229,787666781,535880120,763377167,249254839,969925391,912922667,720910551,162657613,666194006,164180464,693840185,757338061,895773073,763336921,988522379,258295858,833027114,6403203,605758479,63573951,771396359,347111244,824674386,523653114,546034112,333953339,708426511,266891200,630581970,548103865,909326326,322663623,653352504,247816487,934606289,127627474,112549027,692600215,166003825,394871285,999491229,606963133,337694030,807310763,860955343,334518454,605680958,837331049,306688006,632545144,30475479,196093323,777731741,655209821,506947041,481020167,854261200,683864432,303043470,149597052,567436446,464378690,774980032,65716692,269458797,230794664,25088439,762867218,536896527,635404668,122170865,577709862,917340976,442551885,448486142,394597748,202681413,123792473,407394101,63954609,363602778,291454403,800593900,616245226,80808730,197986289,88438162,212358022,676821469,874576822,844659928,293432961,228493470,876943534,831131595,119546784,587528815,897412555,669594425,735303586,454576372,229844988,399186351,591257481,3635458,202260702,602430835,672797228,972090572,535196849,627665501,888190613,320877873,957325960,768455100,77583922,57078780,646648646,156558123,49710376,812183747,26376823,950379041,111340245,774812180,910350180,172575394,158892348,535189598,582872526,419269502,214555432,328741641,244941109,542792685,859890817,331743555,883957277,656642733,706309251,760955856,875406863,992953360,615774604,159053692,615180401,86584893,911159292,315755788,351819632,102327562,136458115,408286650,252789920,423789731,352509379,769324300,608829335,389000939,737073095,938672679,124025588,512860975,28619717,251181966,816406882,506801475,497780356,115450205,92141442,447302057,958341375,147412508,866595554,19238659,858724790,432361759,862943535,62388817,957918199,862043617,645823553,860316607,415853229,138566999,394895850,795757439,860962168,676836652,244785627,701839426,679823751,923030299,565354358,740944252,732580696,554455007,270126718,139193759,314492018,839306545,131882802,119622971,162994388,662487349,815589397,392141096,99367577,6863519,819442323,986545811,670556883,280000122,364510580,732892077,530807088,37220044,742870454,727718438,799255158,855561094,323372319,452403154,781841979,861721310,599738336,140374579,281626469,960822539,160336447,93379420,62102201,819601216,523626718,295912375,361046143,59498997,67138898,369187726,530694281,47590362,334616449,844134905,880141965,340138943,132046757,816681821,576717677,172834626,539574546,548857878,667149265,112274813,654174721,140155485,418802485,30269822,183492361,71611519,747320948,690781933,25046233,402285177,237346569,380007724,382996502,87271021,366615862,232004847,767572741,806410431,415592365,364284482,610179989,677530099,858700220,139499154,426044378,886793242,410999684,379013686,92501427,628544541,560913372,812633423,411717004,61034440,550023485,87208890,986187310,667583945,32887041,951218692,701091218,170989837,230056055,11945872,263037157,163894622,64400091,716450329,147355439,172133386,375783064,325367355,148149083,566110201,359217946,495948764,50846998,490436049,177481086,41221509,91259239,388445297,875446973,616948565,404441215,500089600,707047661,500100541,739400761,506789718,68124844,701676847,974537636,71308628,588959908,622535497,844660758,173386876,982818324,861052538,691757538,859138998,238777665,339128579,340194003,846046097,941663918,829904307,792663177,281156043,38022908,548353773,322782951,469301841,1868017,240604061,968125871,831728464,682270179,777824579,759561213,949151979,584290495,661040715,481769970,827666004,293839865,44270795,715915491,980810928,208176105,743565001,499807929,721979270,262845130,87086722,228776687,110003514,347758729,251473841,630352369,61023499,846111161,266703498,877153035,955436647,603176123,808799003,489626185,880333910,493141409,426364417,429618644,728298515,654795564,305693260,197052847,915897489,991252892,445438275,575465255,965958985,298782500,291305069,601594039,542155896,510810483,557994645,164188386,63307973,305812083,470060441,821526849,992665935,573804767,411431772,583529116,648323161,709580889,572790702,127004784,235270674,195696201,913495328,798862487,133626985,992646813,71236054,303295183,417084418,812907536,725614822,219874180,601252008,988328213,649769809,241513713,519619499,722826587,504741107,272943773,480843246,377377407,572152038,74246285,566826206,641333999,476080636,724830179,830267324,188510376,388135272,33675684,6805221,372208585,826318532,953410185,715467996,229670335,897011920,533523057,861728575,671135258,288010080,529004866,435605620,176206570,899805749,898061098,540539632,643133450,452819121,956553113,906563866,762469316,894940359,928127539,960090293,72891308,317170354,671989700,413607935,30561838,910377257,680233539,670383504,867061631,433498516,132144601,800027174,917931929,517486945,533692281,121710005,888745005,855313892,321711999,191329372,753097384,668330269,569240503,284410320,222047787,105297614,924738276,466596987,729781257,911254799,589625186,891583740,957090586,616365552,465840479,65769771,155323903,844412463,145439305,318599493,299092913,596701607,595440667,211557055,131925545,852370497,511247209,976999240,993825405,502493297,307821281,894547366,936024736,40347232,968438875,224069518,450433756,798170970,705995740,795027569,944369414,260638421,658679499,981220190,652340394,701757498,652876821,376756194,422185324,213350036,139503993,623050408,951689315,195132408,637593238,132946891,843192205,256549951,665663327,880693471,779492030,22597984,451409639,853635317,856430828,166721174,742914789,576404518,39397410,462820744,922178288,708595921,749185389,648117715,803634820,85677732,129519971,822441511,143613092,107000764,552824102,722677742,426995267,142222971,897431130,448246337,216532336,746068825,480339528,28824685,529587725,70042980,140893597,473492639,208576540,627836549,272655760,993866097,329196533,340061684,845084727,183073494,74322949,576056931,477373849,315945708,132203296,1988593,316791540,24727042,241100089,59770117,581686126,377583931,403487698,302920385,11196269,804951842,436319362,806761309,654836227,834621231,827845481,317356352,829062099,160582745,509806947,335974201,939554395,279869100,530891580,179170526,86062501,261435641,72473543,227360039,119096548,234199550,881027465,154514328,668235364,848355101,594276087,848620389,388129540,304086043,972587408,824851270,398883587,121063308,419523984,122068416,28495849,391126811,492579149,334193456,806005413,277822329,465256010,16619499,240333162,647012846,356000203,988542129,923002354,702124075,703461577,226801569,647247437,372914616,405823446,439681526,89178200,599619453,558778393,940976267,892627605,361208398,7486588,811847798,823723351,107410531,373544949,564602348,894435475,422855397,894296711,193106563,681431761,312704412,263008006,811472676,821346747,759358423,582184145,80172253,359757433,843449966,711935626,438869852,321102563,704738076,681898942,941673654,139113920,761850660,307662071,597154566,185620719,779949426,857020722,660373529,239667906,332962794,263561138,164341798,975619968,842355894,413484624,79888577,942247986,962596891,377731314,462245359,710821169,759356426,357992308,721216663,639630982,531981641,695916905,464600767,85265588,304337794,755584584,182537415,505017514,757670149,500927795,191428826,195139108,50151371,788719937,561542082,713007529,425744272,58039201,238380675,818650657,764658622,430051988,108009748,262738720,940328552,447227115,628889130,974455437,412512029,607414731,747061952,530595242,641304692,918300061,479853846,967147885,146015429,326353886,42356452,923582377,185084397,835944168,627119031,138615994,486644713,834485263,871280457,576670443,112943167,794206983,558886950,951952993,92946971,447951969,630630272,614396050,650400148,927415739,389391219,687707293,924650327,546755737,377122392,543623301,518970615,506014870,969106752,360428600,333811234,166971155,891171388,608546288,148504328,515718407,136068624,652090808,532611126,159051587,639183609,738241278,697507722,719299294,396866933,680856395,496860452,155970988,601615384,661454668,229704258,271000593,314535908,524845863,44998905,119189605,444949863,985251979,680108622,84230405,810902569,255933787,200476009,752288961,695059403,67978655,30242110,353789875,508940545,91309485,605042824,923577415,596418244,750521312,389374489,744553191,609242549,607743233,191137580,135833343,13073271,527146897,791157349,433699238,200802090,851865797,924696749,257191611,842823614,319225941,709065594,739205069,483496856,102670928,502136087,98705484,532060658,824752949,978339321,433124485,97424338,687866179,98276026,180513309,274214252,195189279,244795967,575786981,1577268,636285498,318958583,18736864,356866219,46298457,242327033,339481388,97079284,884903772,546106518,71980937,517496092,553206025,353811494,122834016,415750004,627559746,748516255,879481292,37440133,651582880,992754685,311713790,744416198,48292844,761306491,111762821,189455534,945249289,65999483,996053008,777456557,201762235,365249220,636373872,681989472,141608111,78327039,348854450,164296494,904275247,520526858,300742977,431784206,51588997,59775797,256135133,834083987,846045291,55456038,767325529,708124280,674919805,136609383,849255299,920565049,303452642,317846268,407118907,103250462,911646403,136313190,848897264,267437167,419574113,211590680,882769870,253142275,144919612,253536666,494175242,343271565,292164935,479649210,33864692,393580285,558034976,260536714,491666068,153801954,750502764,556702038,66932332,498864989,852621867,539087913,367153628,45343652,408286103,74684167,942080072,496383611,534716398,414669393,759093035,200250748,1550302,979084743,987087896,335884304,714448099,860263707,981010905,167012941,847787624,633272925,909963810,713756179,308020512,815818532,349724152,5033611,115184463,546931713,256563669,111667287,268995115,303164771,668426057,328231656,768988437,137766465,737080294,16815702,354202559,341250368,119578306,43256918,402522162,631740459,589773807,773753314,469742304,505547235,19124297,650496595,948699960,248833532,405521419,888068116,516494479,132446111,106932482,945134520,204314297,98839245,157741809,311733833,21042016,582460549,821235526,88109167,15840914,456270867,37777556,963242650,199511556,687556787,409832711,979966162,63427975,161781285,558357123,352838560,933706420,319792054,368055059,895302354,323947737,353262610,754654344,898544547,97254215,581986472,324636936,215149827,856172685,199477821,777835276,212763359,398498026,493405779,22086502,248835005,539429380,111394479,156546990,798000022,146971903,11390249,87054109,778070922,190157018,51136291,525601755,652047249,204625207,955159361,153410514,77754178,578045378,90419937,354592215,724995567,83197751,768115793,577831645,24737215,510265454,764545007,480266985,222822371,714149155,798193307,134503919,193074903,482123874,16457049,878364758,994804865,332738510,316025805,718749653,245192692,289169038,534226813,927527514,788927813,230746642,628745875,614092811,203107889,156825165,381472907,692772781,714488608,597073130,987152426,719930677,802541267,358738013,164864849,192148772,131605610,192749041,250401277,397271465,423642600,655619736,848257999,901451388,65436397,206105301,958575920,571538926,24701775,17962576,509692501,805112341,568841302,290132699,671548356,982872667,45056966,541020424,274232922,515732512,982938806,199797073,704973236,808514528,968614006,594080042,648200428,589255760,920472535,434896204,4304874,443912623,31922821,777777789,827839349,541052020,360128270,944044001,967147216,688928370,794148966,786070749,478236244,849456718,291245794,58217521,75487451,832621046,304283844,329927521,213330079,831140089,991403027,776860196,742073915,628803896,452212807,658804914,436592135,243224242,414666725,119478253,131797461,314129827,45008622,173116790,321146173,329929055,437919231,3646200,999616106,10781786,584079677,226459115,741601457,936953151,953406278,970595727,419259228,207446373,279473056,50821601,129113294,835513465,997420875,685289325,319876517,178742371,572029261,254851662,473230960,880422133,252851152,402476488,610765521,333560271,558194300,968554450,655058466,544077036,863273645,318705546,440957446,981128530,709482383,24463754,521742059,449395023,915189408,846764899,788389432,255266077,824709844,349911943,29945912,841456407,763847605,331832469,8398434,680818809,710586193,903194242,81760546,187329992,19784040,920652537,308388270,792059234,469435596,861449726,770793487,192577058,457643168,82360719,135399871,609457327,1752737,430928874,310793350,467162861,192483992,279685945,752592560,900600202,484670056,588701991,738742570,777389449,563168630,113708200,383759595,911848849,335714400,28267264,730787981,834781496,842945479,479244125,659655039,578894822,193832490,781388051,393705446,832619959,376903937,231980942,502732709,690908120,207462847,724076646,524329743,585109301,57681674,484064030,415016276,54505502,144403467,107920929,360340461,655587202,461581159,491641330,766232967,676716847,633901904,369473028,755974217,974466582,484402024,296044179,700708664,466365136,987194237,612915937,116435910,500661858,627553617,354523773,503041941,858219083,200516963,386026422,124671132,334611823,451325605,626313165,243249951,299335144,704926394,759626079,86036522,66664252,161638289,415474954,927435131,355785912,576969037,971669753,174155856,901858172,976888269,207367867,600771198,722248571,93353650,151314442,414568150,420565646,178600338,594698451,728188325,283961875,780401341,511250669,541197084,638837311,513456433,18577091,344624800,399201053,521104846,802652480,266239342,683824967,640547356,594150260,870869426,988681916,268630517,604490397,378551991,434675155,920147380,134608800,862249909,779632688,90778386,769508527,742854726,143390675,57396524,763244977,747628520,764002325,887758855,162085215,923212761,114239926,230890772,423909687,649194657,765870954,212275025,392112741,92423765,277052286,752494153,764595499,343743126,210923371,820807604,737734329,411485797,719096496,995109706,796190578,108561363,496746234,834046321,47425955,451452167,303983848,933742837,899921688,694520631,21122058,890020507,49823675,109810756,110944151,496958229,804392161,631096307,280413982,580332092,401727422,822802848,588154227,977931296,377144113,335497071,898885096,484506554,705804241,207203296,45869977,651527074,942638861,338672249,807275741,459282255,636951664,324176288,400125759,653665868,174103992,996141561,189149341,58115081,514895786,692391307,220652756,118758545,431737501,736225798,318716430,167999269,486463414,930832008,580472087,859782625,258894038,646078961,771131169,112418058,820860466,98087706,524500928,563842016,176996341,676586883,937386578,704181139,250761532,874872121,84479636,452439385,683225741,71844415,522592444,215217177,600487601,506406133,188192311,202080610,670969061,405582990,515638372,227150808,583002316,100446865,837574866,370835474,457849426,757920592,989922665,289967708,255324014,123046160,109948120,843478379,623943657,931291732,333342881,528899844,808983261,406022715,878206066,50640690,275428052,539540546,648907500,681332297,276405651,576874225,968626564,950580175,738538059,195275628,594606501,595903491,997375122,957970945,351079492,481830021,288666747,645865143,902007277,202003745,906982912,821346419,161913173,249643097,802307,442535491,876948542,11368638,251923406,234564178,247386464,291096139,820441192,492632070,515493460,742543168,273981926,65783362,295065328,128392291,702991167,630540445,486428493,365400465,50694642,975155054,802446544,682258533,914645128,934338432,639876503,633266644,499698974,410855143,451384478,513962155,688163376,330117475,816112741,817328564,269570531,936039999,580167299,979167584,449477199,288133256,430495857,248378103,154139308,742054773,965639655,691763570,457079261,760613539,526869229,886546044,102176759,802602768,910674082,745201095,590299345,807090953,674071738,977600702,369858403,886903746,180277721,137447412,48231698,865071282,87986513,305950335,298679079,362082477,105306931,141251133,262506976,227715541,9233687,690570587,865468096,26332373,464041304,115266067,640312839,901504018,400250031,741498923,664829986,53110056,640448114,961826468,842065975,152778500,151130227,465718966,824691780,613082040,690702683,625059759,3153555,421095110,238175138,99674246,243659028,202598282,822169783,824535872,412360563,529148755,485129469,809608557,843150241,330867270,673583455,7520683,589538619,276653122,503117922,217912531,931369631,39501957,467044641,759232885,632780278,200785511,249426731,206566917,133104128,712230975,936356675,360663247,210606916,410434668,528798370,650001544,319747674,980070720,168891630,609032442,103614938,356749046,885562068,661674055,133306546,766824182,962619998,855643951,525049061,96338557,498116240,230359116,148571596,859161869,918024410,46429460,887106154,930154232,39102759,623397038,961756214,238264502,154584908,881758400,793750541,543888522,479266067,560453807,178958019,211204906,628088234,791009617,302224087,628237856,967531329,242045563,58773004,579116240,521989584,635396328,963558492,178926362,462232090,177794976,512545607,551398491,820275990,960386524,143402705,553028203,598012734,352741380,449430293,332223037,788354416,421201794,883173821,180609100,541752282,362523525,70887403,495674867,878133259,213094863,384735465,230719289,91371944,259692044,965136237,626937066,105577493,164483923,939332245,297863375,746178940,513900075,506939528,319378455,228685413,126760135,409150513,183866682,110724344,4464528,626555379,947944230,791539410,964267784,396791558,998758162,768418885,368599415,897246651,49168485,364460862,418198122,865588825,966395405,616117672,277026233,384976735,256165830,822770663,872225043,655369134,867164436,281505351,793059163,598453204,331899461,99447372,916684939,10115978,354402636,524833285,456981676,216936,633970386,190643328,268624703,467320757,404553457,948007396,742221146,610195120,364728249,539083438,960339597,327957468,731321707,957539585,93463143,359958971,833221526,467527444,649466433,583310080,685521438,608921569,551755268,156276483,620554269,60286114,105447483,56288202,494293604,18482813,316804290,592190736,943794166,306579605,713787468,968303931,8848973,12996002,178202364,519541108,358638379,501739965,548985079,918011409,568585680,691899278,762941907,171175549,89746373,233210965,10419835,937302150,634444967,41245968,558049249,689685664,841885138,266742919,166218952,473483252,868246228,647678332,914252977,360658938,585705565,445367541,489897541,358156429,189202323,963941103,703488722,486443698,793096444,622169287,431522462,724226447,529932431,417677105,775586110,648971993,84886554,687882736,143703384,840350955,10564955,587140305,919400478,969746000,28602753,154527604,595499512,120266279,808593953,739675851,522321155,621111997,511728552,215987071,250433540,289169876,197424996,229937375,275123839,613206902,449685670,839250151,516325077,695900273,9927709,128014309,399562974,500525207,657530197,80971902,517770948,172868744,92292288,943480383,146177280,209410685,931810237,172300983,453712199,418219615,753294636,858099302,446906020,50315625,348729961,486819153,528031568,877824924,741587688,378343115,459659318,358599572,272207617,660945885,812281098,486369593,98308485,22879204,488819487,693239822,613034070,956845,609081075,328660295,607155939,592323552,100292785,561397589,571877420,374731747,714807601,898061356,332039338,661687063,266003162,648918002,499138939,197832888,767995636,903803470,56946529,243841580,91483127,868312644,389727973,483763606,894466263,807589259,851407558,401992025,696449202,792703448,670670584,551297457,949161329,578931252,592202875,85849288,106589736,981022427,828490766,291562890,722400170,957915970,797047978,175527056,988123353,462280656,524285460,32119028,632894937,219091465,190343289,719577249,197518061,393396223,711339173,976930437,420064469,389494978,763681758,898968509,368176693,781004969,79885963,877108206,930457059,929309220,431113373,106645450,522490268,204950432,297601498,840822041,42788992,388426951,618862091,539035746,200139228,478108437,85392403,143447220,587402793,572129795,646047777,363432306,859087230,211561185,355554209,759063641,851023938,8536451,47160110,295743470,659771860,389348670,471230723,548257914,909125326,829623391,814571234,335073079,101675816,723709165,430141623,805547969,21863389,107914405,469422398,488903643,214629869,591974321,845608001,446338459,740025665,408272753,969816042,82059823,469895949,250727455,309363578,512402038,720863057,119203804,867359102,233353581,73376918,603345589,129774511,254449326,835622928,631319821,726760775,299783245,213806278,495017295,359697125,881529974,502704479,109959829,397074777,399449153,883863409,537222306,674710448,206202196,256048775,420134229,703938717,317395221,386415346,151698906,893405749,118684636,929158986,962140323,30481205,840604534,750289628,338501479,288351152,45957503,490989597,258993666,458087361,187495842,229449633,277591623,55787124,40212025,555632084,355125899,707221426,260905319,103455974,921779247,564104820,453975120,28679267,844987910,917870946,833394997,537405604,42483903,923673112,408018313,307594874,52966144,802768416,646715969,160285267,399944068,704555591,33736132,761441442,281500261,901208504,408462618,120251939,801109245,275921388,36935760,198031419,89456626,522493103,190345008,769564320,851479813,645527587,467498864,718419245,961340978,114644291,847061787,700514578,752471444,875686582,630901708,945659145,784117504,100780691,961514782,193475399,40055170,987634031,711318467,574050818,269050476,643172404,740824366,660517615,239774490,738629527,441294003,91274394,804761591,968238677,676471901,715307333,255477761,231056004,151032983,908668210,665261491,465689829,199827911,173293871,502621403,644193744,457176626,95586449,559212922,812907464,306364125,93932351,504953662,650904938,262428421,79736987,405245927,629617697,473782892,267633277,804485252,40750576,718373238,802284567,899508943,33391337,161750596,571097983,144467481,39243147,142051540,992504159,61327913,237758732,975398246,533614675,821282541,803778465,666053596,482474688,287343026,402110709,361467820,660682459,766863962,940971332,133443376,299322317,403289380,91773147,578740420,178337753,626487223,3329078,133029916,3445303,180192376,348345874,382546435,166253188,762642188,407937250,357625136,577200245,379724244,19232721,345288519,722704102,223235722,598922463,881090280,630053391,718604012,141511726,273913253,102354794,476017907,422540672,695048655,265734182,240752030,72436120,74561677,369765754,986102028,271213492,144489834,932666818,473117188,947829933,341732375,416832921,206474181,188913129,998511470,73646354,299332842,270671030,77491204,199382630,620056299,593621476,205712819,370899908,27972373,247878908,471032089,602821904,36654639,472210204,1506888,675608009,188051949,1167041,532098903,476252659,669257691,559553425,715122734,20547462,536253493,64166682,494508143,856419984,546429105,401304239,483683742,561236488,925680184,97940018,739642396,215456008,179172199,457743168,454303229,40214746,666384953,570926099,317619550,675864306,585532696,579862672,529502563,740576505,385691413,560222402,93681395,542474751,950202120,878048451,808731428,463878722,831849211,690138855,104977773,644018655,81525857,621911831,722700955,885090699,165054401,214052164,53318648,531691184,780786743,759193573,810047374,385843571,636137416,699791663,918197910,917669687,604733759,128077557,282018282,818485977,404253604,224796331,830717554,736892077,237971203,686952929,832352844,939385224,864533054,558246504,332102058,181428997,170905489,965822013,311167709,424290155,324675837,744974423,923753558,215435880,661537145,98598118,401814655,585513086,500782111,982056643,280836371,777948762,62053892,989591926,558089027,150308517,102494307,761855398,491719540,313833799,787853830,680999807,285474868,823831355,487419754,775390507,774844102,674678210,107334650,651914174,731087618,424443194,779124300,311082994,66146814,574712978,195648032,47340149,740048564,774440625,912386616,106712487,990929093,479657623,579562917,979925905,896835207,588948714,924994467,641703137,103851144,181744391,903478053,173534727,835429479,779727670,518445180,797801167,84688954,271757591,243561365,383869750,12503155,733977353,328482802,220455684,325796704,701277435,225703491,371908522,315305513,943278837,417213490,476407708,204101784,924105650,956566869,187723133,674794433,330150559,145352675,764384131,523608159,522652896,240079428,588212077,826744362,678228374,713681319,323625951,626134311,576030436,172499205,527153247,849978068,538483200,307960863,288873086,708805257,929145923,796650440,755467254,516490791,566444533,179811163,368151876,375227087,962418280,844732958,660975984,864078849,767284855,110599079,414761854,814506949,640661821,753940276,211161007,122619936,855029226,846373552,124254601,976515689,702139420,289323689,800855803,895860146,52670232,236408258,337587658,20052478,107643886,821932709,47777713,424699248,787285352,11511992,435779428,37640569,105997829,555901379,256164510,394017575,138177804,72280161,269242166,705900441,507045556,875410672,600076836,366396719,742936519,826096577,268159050,108434341,498995760,52964357,33585445,163960723,928550671,367423573,24222656,574303907,909532602,579341391,380140407,166386321,230546300,520910726,851814753,454958295,285031541,117589106,93524253,433786619,758377794,119826477,843242724,573561994,185503411,711162233,7833516,897992628,791063982,842376379,286786970,28894124,373799675,731072534,133306498,518557782,207121887,133229360,681637585,454196646,664997512,643888558,473008641,79626084,300700803,191904399,294943269,650725754,678191650,369444142,542419740,995746712,100493269,213208444,395996385,153421443,958461258,45564257,969273327,259908894,810923083,98927862,520543653,195700116,369892009,767633128,902866211,310665207,819037660,8972278,297942802,31459453,95988447,563361072,86692933,81124319,867978444,383316498,487051984,62934898,239833867,552196833,53955629,172657428,606474412,335557460,145557222,644823371,48857577,45270372,725657204,897239268,97006795,99455912,860385715,618984039,672552024,323090996,1130878,971983578,854323538,550120983,493765136,512540169,561639076,510345063,581009977,50474279,935374775,789252348,580877485,254793747,247650635,171603249,542555979,388928136,601735654,990325645,416595669,485334449,213389490,725840032,6462992,408051361,870301011,888597507,609682693,940986890,996838573,449783687,84467663,110434429,324095380,493339444,184782661,316722012,100792193,828304402,756504878,83966780,823557645,546126079,577093129,543374338,849555733,910871853,93692770,563883649,120131515,480773657,824738829,772663671,410735421,356807837,570974460,668574348,327972049,370234855,595632569,681193488,238224832,583114028,768501086,385460389,66838389,646221508,318319593,928936405,417756186,363878096,169957149,469388416,206113929,688953663,998234811,312908002,577528725,863737144,502698131,678088765,572716338,49506241,950917746,985064567,578032951,775046937,653979252,28855707,907658180,103380183,128592879,402168262,830451830,552320941,947382580,405287281,338298324,874171231,598853720,312738333,659912057,83552159,97149317,885450385,608808659,307443193,809488793,334444846,13540615,764069004,989411837,989992867,494376208,185304716,933025516,515558383,959573915,108841997,337676042,894760342,791444274,421313607,337925556,770226917,802806322,362827296,336345887,552663403,766035273,152846983,70085777,525289153,862330203,281677461,512692600,394750755,353567578,252486796,945051323,545368762,617985398,661085622,679889865,203348884,45884218,597036160,740552638,974927841,874985946,941776850,286236561,967628725,600622103,260412816,704410679,368354222,797512010,109104239,549187430,383658072,698882757,981908961,859206008,745484739,57199793,972706842,593761504,942002813,898482953,476560035,475965690,693678800,683701966,333391163,576355713,810265280,272429292,558257999,109464290,179138554,41466949,176540931,189861841,981234983,424636343,124258832,800922188,418732796,380582968,905507432,506342546,808914618,757178351,587270257,760521781,911011621,354844574,124637577,866964211,76936541,995624618,449681445,528960601,296202055,7345553,222383668,185814912,119281004,596424749,518415262,785769749,638400725,391979220,345960069,869376035,807042212,549559674,526259562,795429429,881280355,429003935,995613209,569463349,877093595,419656156,835479133,66941963,259274570,825432626,454765865,819550971,560993317,324416025,602721331,310489512,263994145,154753998,745457465,296265200,605405662,250004664,726772805,989003967,908444294,2920588,582688591,251601325,443210894,675453202,540306057,732456118,395282948,835086136,852001992,83764786,40667549,951979223,808652033,869454031,905453644,325720543,996372842,579542889,619916537,693010352,489068235,927058352,610405815,339728522,235234812,878570623,852372411,781151027,553607427,15363387,717303588,698589801,597745275,789292153,880270263,342877813,688838394,284787111,619088937,215590940,694355700,293942294,383390671,935896784,275503424,196619482,893285648,996765693,522322373,146765950,456733515,551795855,77949424,852104082,111825070,633615404,239413760,233191069,574380711,487199587,900723693,412684785,279283213,370635070,736314697,612268011,622205130,95438309,752687355,211208420,919014092,357355447,919683657,364605565,695480980,989316742,344130607,466273897,842499131,11997156,951942443,99086312,185365541,719618851,223250053,531648148,524358945,647562599,761151530,852435953,700025611,916514242,781097730,18965179,73094835,67009942,868623138,985274163,905813142,766811906,326396497,596910842,378542348,584198061,261217027,32571459,531749954,841916611,480237711,602064862,684835787,538121019,802965947,433618520,589885902,626474801,674154450,741087985,531854984,447766527,866780667,42336726,914565176,822599924,176281041,391936955,433183131,667990938,83095976,36239261,597891560,616093281,5539284,606304917,577141687,674393153,313714352,217655441,561559108,976206234,137262940,646906336,716624919,751223980,618658735,676580770,406712107,13866377,619258417,740252049,78799433,49195247,30060546,573665494,968860567,579977314,411406301,908988429,717483905,30487385,409674069,348889880,536894554,175243472,672001272,279723668,225105401,317982189,61453406,487580996,596486437,414801014,120156595,721921242,485615087,517512313,998563768,385496905,447209845,655020908,489858077,674990726,239787862,347298343,245618144,766957722,869189848,429135495,334140348,710850674,64730003,698676127,961141339,984087171,733228099,594763978,103019364,768957906,418147016,330657156,356151898,224529032,396734064,376763479,527936717,770677401,228374783,126384213,934714492,749662421,708250738,792394347,603523181,785978433,609748589,421821890,19173848,654740655,255291638,499622185,978968167,255392627,488518263,333984564,49304163,825206766,346315378,521189558,688279418,987150806,846638527,464217069,776784899,135981291,105135949,208289723,646554056,332293053,442736141,188226460,215789208,138174560,592218878,653613996,900037555,447860103,717227196,448725582,60123482,769184604,323146137,64756097,782767668,337782619,445617802,81836694,144328560,564462110,685333335,192038120,191947512,453391184,598445831,258686250,987489337,586958329,329345726,931328536,355611485,678166421,342687338,383412041,795546264,865592850,874327994,381911315,694050430,745616572,23713184,660564632,77866698,632123422,639450650,903327210,241009825,679477476,712084634,467313823,544925538,291840575,892290046,963064003,838258507,392722392,59191994,457691534,569468050,77122561,387385228,930025991,235190867,371859794,441674240,968833855,925115259,777264344,645589091,104939955,815752445,150235142,627460803,706095376,177407119,20126085,537612254,733398470,800830806,41806905,332874224,51656492,378935836,251743565,510654415,464392944,544260210,833754051,195234792,299761392,925978906,457196399,503698712,107707281,62499352,415364722,495618004,280067077,61714292,794471720,118721274,791617134,234264639,775707710,613740901,402118540,770764445,531948657,764812423,817709672,775516771,376800145,724976445,428222566,275687964,812158735,800529615,67720569,112275127,93017313,569091474,948224004,73020223,364028206,478051176,261123233,727577865,379562349,721761824,284636392,899996212,475008901,51094687,598945856,163034792,101270354,158545962,704249237,570341606,208632339,215763178,939746840,789746151,347981524,130810868,105559948,10052307,40379749,956485618,356426423,904734098,384562504,35979345,421313463,798181183,672386287,33975308,977917089,106553803,385127774,658603049,387971061,574294014,692442714,888359348,719902819,271637867,875949580,87146486,302234534,84557591,143298125,233406675,91604257,478245644,965849536,909314012,784622758,710485916,720180937,28865996,582629024,191242812,944239809,256594268,881543462,66373940,255145095,203116237,396237979,548633450,583695071,845576177,768835118,96160897,854420863,906996306,517320948,278109403,511594676,599701949,347104608,928057125,123672135,31464331,548156883,520598517,306098618,840025741,799153722,125594930,59734421,30718316,238449178,479463034,190922872,58678430,457338028,385691409,476574662,872872802,225080512,538137607,897838317,1096368,200768967,333134346,973724191,203031742,441405017,524561663,621331211,516869709,184389030,422546122,464233037,136705980,728662413,425709861,543848460,498969960,891941,909292884,94260512,983060790,64985685,692128896,901518431,129847054,645336449,494020862,217111084,739727651,380346460,661926068,805264711,250873211,80296717,273596715,463941095,596253695,377498853,374529413,236192566,448450710,458304190,445586817,934671396,951316172,548906586,48612385,494798144,690156394,858024161,778858270,660386928,65816071,366584952,421337068,439222200,204512149,580575632,72295461,562336296,171532892,881913285,129273202,542090702,984487562,512134183,361973477,858383931,355291940,598286070,464495931,270923827,392311474,811923288,773431731,551966809,694703171,470623217,36222177,912363586,721144439,863705054,895346502,360101391,1057773,575551143,813757489,706957740,596941446,575159600,518894511,765191701,739083127,352162624,593879374,280186941,731538545,837932608,209341449,963450938,578636770,294408018,108209852,945901723,269907064,879576225,151916759,913786088,952755826,596039178,994857167,725261826,36947395,254329752,854505153,192186150,954581668,576104495,608243712,601501019,392219914,473516887,50140872,709237172,798846123,305902072,617175670,246496903,889324875,83607783,421443076,442176836,912117055,775505045,689776441,44730679,39233036,514710124,569352791,504798947,760396259,868129724,674686656,504417300,796832350,808558254,735009920,753806670,557188081,994307511,23191543,265882485,924350299,806633003,712490242,769257315,956159,669864698,949392879,236238962,245569993,400163315,388532812,577888101,829222178,203324357,305805743,385401783,993477192,891434964,827551902,407493111,925487433,482724964,716187107,152801963,545689470,286012981,978430321,16081423,30642163,183667106,787139011,665215469,198592326,498814191,991941883,406301543,765569060,436089039,747939681,647402864,104276176,842308704,756533946,37176631,850632460,134480337,909465770,173660234,74405402,919140794,392847545,285164145,914677522,965238724,420212580,98840815,140777567,815689564,888734912,833014795,491716891,125392756,607040999,90588475,121140212,635219047,312245967,717883664,185966426,666195054,14080036,872948143,705531232,369122767,868971826,309278071,475433933,724133766,164548688,816199014,176875097,504746864,518670801,942612381,169412591,377165881,856203854,426555451,186590900,166310227,537728486,147583599,524028789,682046360,944341933,100803683,388030076,817072505,854048073,244827002,124655865,884032618,777108077,857548484,966689005,599074938,953398496,487915955,737029682,382288226,999641713,24479245,319214931,658969325,321149409,482207657,855578624,382738297,152084148,19030066,718750031,395013854,813692538,225278515,753356335,625314949,10319456,905975164,230514397,737558968,142554687,210791436,762434637,53139455,744208977,691429168,613877584,821442870,864055646,165922588,538949985,991324442,482026728,450337745,229019450,910098049,267783092,646311994,148686709,481769535,427711825,351537411,361963638,76367774,561727633,823939092,227835647,219570532,154377598,495577211,941387373,484088613,153483587,985464731,649427575,95217182,825311755,974559273,332217377,691775307,713787960,807643916,601437997,307189733,416870973,505366341,964015118,312477955,150779455,327779974,612366315,312802901,897113267,150021216,863527594,814008839,96206996,551437073,908795568,827087052,565179602,394682559,989272027,830830010,778158965,519323043,423096842,62728625,542381516,885963135,849547406,229136652,80411291,782355719,486454622,737646881,468022605,295615214,283560683,770553835,642961277,885635970,92120198,235210300,198996690,639808751,488727741,915804120,765761331,548415038,269419593,506733660,712537102,965867619,547437437,239738778,24894528,413013737,413204118,821439529,310151141,478066513,354170399,458009425,589551259,411229704,488435910,386217589,703020251,634337427,409791403,857652589,823087444,10792859,463459162,748195775,924891440,356567825,173987539,162069100,555479034,34299114,494138058,724171555,751968496,152756761,725754099,486412795,978065974,382914491,652867614,912106190,644373146,821119819,401186403,780239272,703259082,592129930,839956086,392517048,302862578,4202958,556354926,172331154,675063187,617894432,305707039,774371595,366194315,160964317,944104077,522814859,345784715,316498835,840926624,419799563,200863888,750027352,579984398,992818181,105099840,172760698,288353491,955534366,961616277,628029535,779977522,259273089,302383727,262292676,469187699,929106117,301416520,331216857,263041463,889593151,663782352,32703198,607645779,482073648,949454102,319437571,760121969,683532612,764813576,170396156,840453955,758879192,382128093,650812380,443403703,222043830,701784268,96959012,380856183,645482181,879070201,984212185,987547942,774950044,744571855,254067752,626742781,888725629,992934995,703628848,800195717,118063612,61323368,462780462,79832285,172941180,770438425,821383642,504708824,45866009,139945967,648178858,774944009,2290854,340145240,496835341,251311895,4014940,309682075,800264397,311941786,234759805,292156367,214581976,608156970,242092270,462537137,370547655,47281654,762044681,45318250,385415010,31550598,489056461,942892597,829627325,41459462,800223916,645563231,952797762,253844153,710725627,234445175,779468191,612540609,339936418,886274682,240578707,607810886,715797778,366767916,979914873,384483358,583381405,871574190,704787475,240543561,905094240,580734156,541428837,806061442,839176985,630501646,178266037,236255770,185563239,611098694,570594373,71862607,210015956,950884496,829796502,543703918,286896994,633677691,886551291,979404013,738728258,253794042,663212785,559174449,448424582,517090892,888834207,574254484,961863299,323295496,622936573,46472058,78287807,875107966,638163377,346684215,9263104,990165992,902284234,274481740,805695809,672458663,908783286,65531672,371304841,161792504,434364980,900440081,198855761,373248848,373189256,708531671,910812985,196695467,543097289,318239319,236489539,403037290,587760445,215544422,934976222,443128086,123995112,343201889,504000477,637841283,551200698,8605913,661152182,414745296,305983792,747008903,231495028,43813556,864259207,906999308,484276672,262011104,935806150,398347619,749145212,238575016,236182071,496052592,2918395,260098390,285763408,345047467,567945432,285877496,864165175,452898767,5472849,32750441,292911209,132761940,999180238,76183694,653606882,913651064,487942053,181642367,589656211,74525157,78893726,419882564,263985937,328959797,2801214,58238074,39594491,274488803,518930514,36730028,787140732,536430970,639005662,155288663,632162451,729349495,875644555,375688525,674221558,904964211,533957836,935798560,698532664,624025322,703240082,181145974,105270235,485374538,122103499,166419326,816440940,372592950,912678253,375303042,633313274,875613607,625266161,644383146,907260653,630509859,3664695,15699693,46927008,160508324,229490826,509622211,732768383,80563664,165670370,787259783,961702618,3508396,662581834,983578185,22454607,957011870,195051467,703248341,136180554,143672365,179935572,194313556,386575814,539455002,802371123,551225485,180646044,2177733,858205206,805957222,743872156,115686623,760536714,273499229,302794538,943051520,559934214,234118829,745304381,703007443,495552792,595729163,880004630,444028443,319238243,736047233,941899102,735156551,377419897,281974908,966269672,283449197,839911740,5410528,577639038,684502268,896760679,264506405,695278823,888036793,679552914,960500501,276878567,451645825,885172410,749714322,467023469,547222190,641309850,941535577,789917136,33850681,185017280,636861250,506973336,979911627,669689041,548482880,52911909,15056346,196242148,497034770,745463938,83166201,835827469,55863867,195282951,46378517,352105645,562135566,698594760,988722550,973020080,168018070,822949041,894176898,947057705,256683109,305580341,963279900,948349906,320234188,255821449,318018386,644687810,110365825,402496030,333519274,129364220,11092815,723257320,495592184,631309027,880009188,849935547,464092293,440137835,229583781,325272160,252460281,7925450,286615879,548063519,681698591,370939767,787090109,373501847,784901333,976655400,969037023,338817382,557984004,442955928,224523477,308233289,385031063,71538400,751797223,689076423,355424952,56645481,16824821,213266757,974129263,772637772,638101616,383289282,690997561,331296571,400654523,313556603,76082353,302591278,564232560,89510929,491886698,444877553,157395646,419934865,484474219,161649464,281093131,742786218,524618137,94122679,852629817,981980698,26210962,704089464,587348353,208623213,151948789,652687506,743350743,642809474,697639577,268715581,223013805,966616324,165457371,627085482,688674127,315330012,611127023,124560589,646856942,916705789,926165619,484359471,947748845,794631145,111514400,706294725,217852618,419051075,493788174,746392430,241477982,244284285,412131589,405906463,161229615,580308167,983749128,971703368,901982613,577986259,623547041,528053240,307472792,593443833,320205639,104252841,625999972,713641035,145675459,456392610,392343285,912837682,710155571,254531757,257380464,227833241,874421715,106425676,892365521,399628090,454123833,974115307,361042589,828960161,13430404,340220601,584469476,625275881,663798829,39170935,718249402,733511936,18312224,769849964,182334389,843432929,998712293,818439373,139670982,311856588,585214175,703946616,708719769,51518287,202565097,727864816,351823905,197407686,305328983,36991302,712144578,564967582,386061421,32379911,404875066,440537546,208533688,600445948,658577900,553932626,751286527,98360460,521741871,666432125,239988898,582319553,556217651,680458107,48681980,751208022,113181054,930278266,142706301,568930612,558929952,713586163,255194722,869472682,452475170,38394135,978464772,325897535,641851056,721468079,756682349,316689518,733177541,48039703,835282705,349026805,921752074,795032872,950852447,222812251,83669459,382256160,236538630,698285846,426127580,270837526,701335351,128538599,268271576,26653481,739145792,501421001,575880540,588656604,292285650,100809162,516520849,734841734,620221489,578229682,1886363,868418521,229529468,674556119,487368543,274908119,565317382,503490895,498763871,434118058,202048033,550274104,115773412,360794999,573571486,935446615,830590025,896045066,695247867,238199062,262066940,750665452,833909504,587559778,163030207,186329379,868715944,789451672,448541550,230624480,963853823,2883947,513375703,55707019,366628270,921499379,802365401,635490551,807643846,216166570,987978292,595407820,118232324,954152806,89799231,461173284,693154341,441026061,542000805,417419489,925798481,371773309,241341162,930871954,616652399,247440302,378428018,60539432,210658390,53017839,629073753,985364126,970947909,132100442,819577283,391218636,47199857,554195841,157149007,198581106,567185780,269960119,379297520,901221768,279635365,152152232,702782438,314760288,669308942,98808748,557592456,37997652,911356891,321844133,927186779,754187692,826990335,842530531,307881668,864903165,745566228,350033964,37176350,120937580,504800822,970914555,468064942,884894754,827432623,655268842,824149707,267137233,376444107,697669367,497023341,265964585,274059656,736142643,39542051,773066275,601962983,886489539,464975908,793927728,358282689,789163369,687324285,313744897,57945227,378476031,989054139,406230184,132193368,108120160,162681552,743575282,869639420,251197205,640098922,222981173,713239299,18329730,861268598,628377437,978738018,931013793,226653929,133213637,614559577,741040391,828242595,590112216,230744959,942282188,16458030,887832589,770572104,643716456,507062062,366395368,177229063,714555951,280963750,213312227,769796387,757334198,955171085,378260320,727721109,479198299,720944930,796909874,783746303,191248554,343524679,45961365,423649900,385409730,771587366,741333307,23383200,369866197,965530449,6180350,904918337,831387764,118478783,978099999,956299431,391384763,412018417,64414726,779761465,997691195,735902755,830762283,98320621,225795420,913446888,67698858,762525780,926177590,715107954,865225988,144532007,715735358,429350917,245767548,494038144,545271365,298845170,211391420,758048017,456376700,705763254,808926765,224449051,185244447,649976475,108640919,185789919,878400809,764309454,431918308,977015446,64999447,995001287,894858066,510658032,752139930,451684991,213749847,555065171,862859318,241716797,328905236,397905208,326501072,858066532,720888376,591630177,332871064,493837579,238523462,315481760,447580571,308574787,614195816,379323307,973614001,644359838,416913285,665750735,359860876,57199542,915647249,595725390,109639037,745605518,58716967,542603627,307988290,677655425,7792142,33831841,543312931,292129146,707967456,644718710,205511192,763410504,556755574,957485705,489288045,553785613,136958546,940600193,289276966,71268704,383329987,404350687,261848214,514544828,296481298,651338752,57817451,311183765,116832483,739571022,174991927,240862125,241667508,665368089,595301314,799953201,875687855,143889597,375140184,380317752,689116055,955823867,546702571,255295869,376718417,23813433,331443797,328231276,655193535,874600009,164072750,355916405,527279188,267177353,532445434,368447684,564608820,580407020,972805360,205049401,707340332,872592723,410856949,45248952,562122189,501426967,98884309,872213852,70760075,856796943,38925597,141248556,980789836,345363490,232037688,388627111,795662592,529655799,97223928,907341273,799069028,540305609,166026148,72155212,863518487,984141170,485215135,858492811,225707349,34929090,465589469,402531366,880555894,445820754,313118787,765120794,535619358,968515105,248490934,561652734,726796323,298566871,595550978,289455360,108896537,338101408,165160348,330080735,47415330,784799001,595243863,207513278,495981097,88021848,314283019,804137627,562605730,776712272,181405166,632256513,120833930,590357072,820985686,268354169,395166956,49645517,208638132,214271934,855229675,228830826,743368693,247132575,704081398,562465429,845937946,410978599,971062880,510110685,98205372,462903466,407285528,584542020,414531529,318178836,358579919,929228046,896276149,64958837,982803128,996906056,170928101,417565216,11404472,660032101,832912325,130047737,974522250,706302133,323342718,474326956,258803911,91638016,292544724,954898686,95963228,422404987,375219399,785495108,375221197,754869574,105172765,635963052,357588926,209590306,595602035,170488820,113594018,151715544,386151307,120657271,258288852,192284020,433201047,322603664,979920964,193581294,257456800,931770146,392765141,157670266,939958365,350382357,987259651,405712574,427642126,636547836,879382788,697152615,128634252,437120957,274374261,339486994,964997494,733828623,969091245,92695216,193571359,1532690,821798443,636329728,692774353,976234995,370233917,943698691,743487430,528178055,187812710,507821419,935014076,605690001,177125102,298838724,32052365,833119048,766145479,508073842,97028898,842212037,175815045,544196273,152967360,442493635,528143676,221288243,945079578,431813259,868796240,64459937,916512574,939042485,127532820,714451101,386839469,552479123,248987036,337025316,867697291,847904381,183940303,49207826,503372852,319315531,975686991,703652120,572419564,884986310,387566551,231708921,799099056,402199547,616568683,588999110,417483702,807267918,141925927,262686484,375698299,323208772,577354654,542470092,909922382,376802368,714502293,386258217,481459634,927626285,107678598,554157798,7934308,848212950,80996129,392899332,759239073,582900183,287054859,802305193,529155551,442020888,465099659,186336261,44954624,694044427,127806856,640409227,803728220,946471200,602198919,450685535,581564574,482852732,254064594,373957508,986117530,442622365,554471361,359173776,841254633,195738361,75886032,788396695,20428037,93651515,72358372,136464916,651723632,563127125,25490727,173599858,997501153,987166235,613192305,435826972,482466771,205116129,838999426,200607887,614489182,264713778,783627647,990062426,130910673,607718694,610377309,573971785,44762487,835681954,901110225,810635240,907611164,18990065,891266584,443709899,856361936,333544319,449821086,391819344,492571820,569201419,43290455,715139587,977360249,911158090,208880862,120246831,325012151,933168271,59056896,452251614,42677113,329291183,507672703,828848904,805074800,927800487,112119792,671013909,280205230,304046225,233620113,82697693,603202922,431708257,924598392,771690178,162826872,556646653,754736670,691737621,893738106,828481698,847417499,711097283,335748196,648357347,253025199,401170055,175724403,176989383,329081393,821902026,668264335,931168239,31404023,264373266,209633728,281695773,900023297,304588401,112910078,535724287,512675127,211323872,424940210,940956705,852411436,720955844,276896509,775331342,843433286,93024939,126634849,237184412,942062873,791406974,124699996,579130417,725044404,366851505,528133958,337290560,932310854,734525480,223812483,834958217,674476081,818888091,63761621,254695498,805113726,840952636,570419319,487364464,726128723,796227572,794725038,950841452,394301434,791909502,544663440,399423788,854629610,723654707,106580963,952996021,783544010,533572122,323567763,219718785,144002928,348711,268688938,811586929,599960972,225211524,527867956,336262974,92080553,737311714,196860926,598253403,190309270,565120269,465452917,731607347,272736106,503430147,212730386,904925581,720277894,260795263,210596187,694790634,624776087,671663944,847511013,683925203,636072522,702102668,447575011,851687143,883015212,439516260,16750807,485427525,888327453,221465665,909695686,780635295,932254232,203119849,320378411,668426417,763693420,471444790,241684027,982953794,960328452,997520736,913929868,924579815,777271518,205492851,221105073,417782751,117922847,446445473,501688424,569325831,353735051,100947722,552928046,550517992,409502063,956136319,35561079,319349605,285689093,340466719,699578802,316307848,485863505,884645562,228275908,892506654,31171149,806590153,796510306,200902063,738864517,226777850,111505909,387592741,865027458,513133876,910770118,692239882,659768857,407995501,132054630,414570827,767478608,767363709,237939981,167125796,457778291,436383327,247025420,427653923,687809316,542568515,258138862,429591349,831078643,691563804,6076712,32832048,651801971,832436927,383723073,516565758,663885240,634741769,156052531,386969098,896948673,62889360,806506987,989947807,959873038,561568856,907200468,336886056,399053830,293312423,883103631,269935595,847651833,79170664,547333795,376080999,593947268,187421151,264310614,657721321,621107862,493669992,764718750,232810153,752127194,342901750,357453511,698109784,859753082,489914655,955400174,519959228,246128707,402468393,685729119,69856467,367165748,138369385,562354182,262904273,10199255,477488697,132021531,739029924,779281102,63612578,626669690,897048978,419058738,601638816,744011098,576599564,812800558,561703165,39063056,479380867,929458705,451396871,307851439,13291917,491960891,720528393,408003208,948856978,216061878,45363753,431877031,631572742,486743468,754614879,938257294,263274600,103073283,624897259,634425191,772325148,827981337,239509894,408247025,451882216,474576441,35104984,293481671,932372206,416207244,423187228,886949683,424331940,448827726,338304841,675688993,682176060,474347768,874258027,680756980,872130223,109959412,229729139,354010016,205799359,438538723,110254676,371094555,291120096,450255246,641644943,850492225,298814161,988770042,304274002,716843243,866866936,974204375,806858506,826482270,794173391,878088530,856980379,908736049,487913784,142531387,358480247,727393711,609738411,426290335,112548255,211014775,209912135,41133458,35264820,743422796,164235339,13758379,953981087,196733812,701044552,712119106,871012964,380621390,426359759,218396581,696874394,704436303,441930125,222108652,317952760,961443205,630423306,258285433,562451173,982711292,810991713,683327677,493663435,314871021,716089855,758511951,406227696,67761985,651785462,185683564,263942043,266487354,877115452,279581012,564191654,188659276,565082849,412460785,644728891,155611384,947081884,126227509,300457549,909107582,734620264,516285455,475335700,516547497,22021010,371484309,13475656,271775417,240483396,493507914,251423575,342383990,495373032,5646399,559212030,430495522,746456282,354419228,308384321,350513233,537447859,500997406,112435378,667185557,358906711,900407852,325662938,203365486,287355104,370227382,948358472,987413314,632990611,657630885,985825811,629071056,392255905,469519912,152864550,116324934,896431336,691886714,220560258,425470610,126003363,84407098,192485033,932678841,225344184,93908835,921156465,124830866,997347540,761390909,182793301,454895537,551960614,893629668,763497900,535489631,901662949,954715266,655343788,677661529,695166119,560716517,603966178,145107468,621524376,814733835,621754418,253617223,326101572,315225228,682773281,160514706,363140981,374193828,222509896,750780404,673939334,44143854,94775450,600235672,68006694,595204676,543329678,81916148,500736663,129304543,59061803,499771112,184890948,190205673,386598581,295062338,420816574,37465154,663297757,464682612,424405978,758902354,474916087,933979147,818096702,225532561,194927230,314379252,348071739,87576268,404194126,267546512,414736173,617817923,523619556,478369149,839782358,359701547,290668765,703427987,355012053,859392856,687592704,176163227,966835656,612730629,850873501,190900846,1891782,524348898,843974712,211926064,711720847,633514798,651269086,410030874,561395294,146011348,942009467,416449875,442660810,181053991,275742831,652219209,587357577,150583521,175388851,345735968,870165551,389517571,417320093,646833144,39564564,769306564,847798749,970327769,148952539,609517647,78626713,602969360,912406833,35184725,407763477,669360706,513627859,509484005,814053844,638591226,239576871,464961419,859658791,651839026,871909042,703465773,830668544,625480185,54495912,788286887,286583073,976295257,225449454,948681774,443799554,408335956,623171282,415363920,467324352,637361797,41845785,118858588,905230900,564201581,478525902,642649869,809525144,243304164,370453202,646373885,791607163,353127986,87017951,734063559,411032701,510185216,60574322,785080230,927780460,754693760,272295819,723996102,398311808,989380209,600664571,88397500,625587845,757337620,600716059,599453541,48968802,717154486,160413947,891968562,233147788,397846850,851156951,566889001,100689184,936478328,797168865,112635655,988527615,899075102,794410288,946657162,550117697,16711288,745502969,54751684,208385516,496782678,6378482,127938444,803582092,150282643,472657363,733417184,759187749,771343629,453959644,430864872,882857389,61117358,187677199,196620473,924991771,49630299,79319450,58320803,811931935,225293095,961932961,993014260,146275865,211750788,141385755,770732726,65941134,706252289,43959019,160326808,763935726,537542646,455346968,461727655,184611323,527313282,396804095,738275751,847313622,948534327,470864984,25156089,81392770,819635414,433728046,144133770,920310188,738824642,866233095,921653029,901746821,976566935,563071924,120697329,583292608,933985142,142641853,707653767,489574686,915653857,543162187,617929391,839854517,973096839,901497380,741758313,477510583,915075561,997372955,508054407,841129465,630539801,314899931,561387300,265990603,14274272,157883278,364268551,261234686,394755980,541905605,389962084,742985486,355539146,636431347,673422000,192057606,985241812,831606645,323375306,268007203,905243081,52617681,573858557,752330170,657868708,293933037,223594690,490177861,612473742,148821926,58392760,825680570,175510101,519072272,904529413,523252638,622737136,33796199,981217879,331716646,370274270,125522874,297759193,900818297,188037002,431699080,843119457,541810826,270548794,973680675,96626912,56282126,381033187,725758999,511556944,444079168,778786714,497731571,666381886,115999073,687550808,425091007,38990048,459250090,113048245,305012308,470004084,544426322,521937044,626223896,339654645,35654721,669625512,679733418,512857064,599635822,774362890,747016601,939787033,304356189,61159262,205499617,42001673,360718450,719619452,281089549,911484458,533004272,72386455,178136088,642393312,681808155,723069963,887977296,163133222,380089394,148275063,877008944,824766232,714021273,516302020,793928247,481327365,334567959,423445627,806623044,953655596,14065101,371252093,386139764,898270893,517755493,249149395,655755150,519952720,491777117,796647443,404478568,851005565,349242215,973522156,699618675,164158207,134038287,686754625,562714158,79731415,460347518,534499456,743767373,774702764,295045999,455165743,99120201,344979336,944351340,121307847,700239121,371106627,802510563,850749961,214288743,160938373,861653320,451705561,947571976,220909594,425801429,747743094,72356034,265926179,19199909,275908414,749001187,967114232,661614699,334248838,600158563,326656177,967108898,344242533,289540119,902119423,288790031,726253927,783854038,397864115,334226459,611851006,410117386,73297332,652302941,978439712,899070495,143873593,916563119,912036141,551666623,23809432,49873486,322957604,447387940,968328567,693172442,710939025,59387796,406074838,574527647,649444778,967610412,387340105,265175917,558285840,358861257,689552937,635803044,348262385,180328739,946917215,786487668,582308299,633229103,214061194,155209472,381314344,673018610,967006291,963991669,759351162,663025199,672682769,527509032,603306862,159648545,404879826,815401195,698039461,439353284,667496857,59980597,934601845,647355926,194635046,520329193,234858707,696394106,447099840,236084788,741940097,66071739,333905813,311346847,644537586,497092124,347530796,546018082,798852350,573216603,726528025,176023366,404222370,602390702,819439551,912128174,266327760,845241323,591440729,452414445,729829912,265636544,966213428,675912053,44336523,764380926,634801842,321842824,25799519,732972498,463836137,802604609,645393705,622224703,50769918,978921986,952469435,144685679,639931826,363846651,238431255,251477467,800311621,354068641,563795406,766744495,786539066,759229923,862359618,937907376,846531304,281321793,158533597,641852703,956115567,180758139,370286763,641534736,330244002,364769202,189250198,344523794,50425702,888177386,4144815,39263721,767176840,65062159,448424742,816460173,371906214,672564225,491452664,583906590,742790472,317756115,959378306,687183102,93799278,712677415,47230610,870730357,641841558,985181744,207766310,473377581,953867832,873534481,424054657,218357420,489960398,46376143,656381227,491006218,940258407,882218991,639613783,806211473,11272344,511214862,719160497,122553512,343684464,229783308,245131914,922431825,456315985,931899094,987633945,21981495,296999037,226376658,574518781,678681355,949456264,111447694,37810589,773801808,371488005,663554740,198082193,201913472,853177769,526291953,471622984,568351086,114604701,990067011,957948439,185602036,285814266,380477347,450486296,357716969,770704096,527524998,272263555,192386529,668941030,582376850,807533510,232698175,208225109,528093328,380327528,875957400,856721425,567320092,140167172,111312331,882274370,325844268,417562397,691817927,589295667,704660467,692990959,847093212,382085392,133209757,974308956,515651534,53452380,782181343,651130190,481400685,457202460,57774375,200795668,205520849,401002981,135119115,423036096,392371803,745604673,178348777,965654400,471250961,705076072,226545755,131675127,89118592,561530346,111420977,788480146,360600984,880526132,116720867,924356194,852977914,520401761,29987231,654613487,85333479,689407513,848048785,495212763,47112295,764244987,800364611,204057160,715329745,981606051,708777512,961194380,781562061,840221360,349290197,893482026,278177817,511770756,239578576,460817467,295023894,90130210,734325785,738261950,484410745,591139251,207429271,529137997,33379445,696281680,834729647,393927454,366366315,417485863,454455727,926928521,337967342,733596178,646060709,121941044,891438943,162957710,769451022,21714015,463324960,778643247,694601077,517434273,753491974,440368241,291097727,754324982,932644380,945720753,504573513,413019921,490841710,721854867,857985960,439408572,706554284,56874718,784163326,709811136,502901492,322414340,589037580,220077169,770378102,339387201,151258623,489906356,674983662,53785518,687724056,139509225,694509727,573036610,878352757,745423666,484011725,543265643,639858284,973594854,950219043,649109976,505333301,303045276,369846903,490593262,338808024,606841703,576000177,507407788,863577833,594235814,883340541,397357863,665045157,679057623,967068678,153176947,851949599,674683131,70063117,633892267,182222343,380971579,700754812,595637943,643172489,618581184,952496533,24414398,329468785,180998970,217466443,620173167,541787068,972237781,358904055,527053260,999067793,503568617,998601816,763802925,386345379,578974443,933429597,936742647,79354351,281460937,769146704,875531807,309444046,420210685,761813642,787037967,79337549,420222635,827083818,645862952,529851802,916278843,423443727,864250716,241841336,361692275,499590268,547507923,980789910,218142558,506880171,638398651,956614798,317298138,264511288,624520946,355301476,427990870,213492919,407596281,588052435,511812170,733017120,731074092,612809753,163406548,287945191,914645414,233439113,733240348,317366568,690817672,434229962,784851770,488158715,329812462,816034479,235464015,480986860,746730495,326587445,407587130,868241354,999681351,59638102,195814973,634363797,574665349,166091056,825221483,78310006,183126816,476745249,245740804,139233000,522295560,711498495,333215572,341769974,438648640,373376152,412650513,756060417,857613200,846701223,525834583,461505844,595856986,801443328,309951105,434397408,623691225,349592507,566475983,795818425,402118701,5657466,67644717,158688772,22887247,508006197,528712867,224941202,719170196,271700379,622258884,363608887,525161922,852193174,668876605,902115121,805295698,55310320,729060417,788740098,502207389,750893446,856809665,706138306,662478671,306177051,640975971,249335681,854040659,829705226,808892414,922183589,295534604,619568649,854450401,42383252,94691042,800708868,64452472,453991593,698668561,445605713,952640987,331161356,911367067,384077272,618919896,160460273,466688497,414351918,277457416,691655079,19749544,514923249,853022799,28421378,743744211,216746387,530455579,604647888,968230516,812059746,280398541,450326125,997515625,38187680,860075686,798490237,573855826,909004489,795965017,92672900,748059561,809609676,48689739,672524606,564119980,108453996,418006412,450724276,40330154,436501271,389000967,373478579,88841076,755739607,819459288,902913483,113373395,662459604,915574506,75507248,292384579,283376087,757651446,753681131,618874345,486788659,39565227,88489282,897496655,790011166,163342846,136085384,703279666,203958469,447381723,492508228,57926236,821403679,691171615,616700588,968656521,982016538,376723780,847043599,664005239,192635347,52776465,247493059,665903753,742931430,943059412,670712571,13598144,8217306,227917131,65604644,31374687,881574637,285048735,974393217,343714759,775028978,527276896,193962226,256040320,199187634,829899111,475820546,862592353,301449265,833950401,199710728,746116482,446113244,162017984,129615795,933751984,11710373,62765247,268679094,99536874,795865484,136888643,947914449,972727350,860211856,552368746,768734683,729557231,72064449,375163558,147095859,487777602,881870701,125409092,867021157,280637408,253432639,459285908,745774645,39716963,535710978,7209648,289269703,558376831,16106495,272494196,944920830,803985197,101507307,889720027,944197228,315528280,317487307,419584353,280993115,432280189,873545048,329153215,962173490,48841565,495571623,378990849,994341021,660783344,214313849,234571679,362441526,110995240,477512643,738083018,357572846,294262074,718797708,182209179,689358608,551662994,571938960,190652147,545316838,490025218,462350500,101468617,676340777,726179527,607502904,844000668,298965525,590469843,226155806,116953820,116998942,104122097,104487899,65426904,443051248,92003332,68858403,433582222,810854467,50686718,571737246,721249322,921239269,596430550,476056155,982860858,613212695,529134997,505772630,207285061,862842968,486152896,511646494,738739230,13285452,871331129,935574581,804310633,446656762,328134742,299952704,186526901,348194917,133185747,923294750,701943823,855577123,926918506,296065438,413810540,156194099,200004471,803620627,866255008,808726777,415956949,35572301,68781066,985957330,571580939,225161957,925637195,418495702,390877191,573315063,42792955,19345702,166663377,201138625,899595907,102406553,944624200,165121507,180230275,768230028,422667792,408083076,266942880,746436764,335205169,620804698,376732397,707132576,605264459,160915341,364004752,13413279,863501822,84906095,803838719,488749085,208406273,323722456,788741897,878438642,967153257,194837067,526427675,314262130,870756031,512407368,902616892,210378769,54341349,978695069,409673816,551287398,165554073,114728939,645923842,577877974,349378738,73432834,687380456,849503538,553137830,826515250,904517968,364518623,550871816,323363347,41835029,86624316,576608778,79071063,382485476,326977285,187447063,832459670,460361731,426489102,825638219,986860155,907450625,275778231,861849673,482280182,614614761,812157048,410286797,60533055,391276014,50248856,317996432,687132674,748915709,627169549,83896975,673067725,517702363,515333953,3415098,342455338,721668145,799350668,291778073,380846052,850879184,984229944,39158197,664439624,738520892,487095366,972832628,838126220,939605256,963566373,503360784,350618864,526543544,14644830,776405763,756090577,5621829,240332637,463377888,689375299,20990444,100466109,693520768,233823440,769739277,629215634,333669999,320390374,175653607,756667350,31753226,181549233,884441976,892331084,204481552,830191988,518607254,120525434,166385263,544085312,305125716,679323232,537378885,349752565,560535169,988846448,313857752,198846908,346387960,814657444,773440278,562432389,212772637,825787427,979233845,154018625,744934448,341697190,481708096,339513709,504359540,954733057,605941971,305727819,141315095,528589138,594146400,481660900,844303256,876098588,263045463,622580836,987543881,835027350,439265193,964311387,325700901,338165073,350682937,444994187,71526298,74838903,72988556,258285919,106695270,541692490,584706032,430460632,133375097,92132590,60740798,699253824,665384925,231639982,476571547,928210072,283428460,519482620,858548699,687776,629706538,54539233,698310010,638417603,351626256,142324083,306555781,448066908,14419330,465119255,955939266,668222500,939209854,416698882,451295375,795513769,242017417,84828103,250275598,269514339,55045455,162050485,432149934,821864212,290597998,694870012,700735484,377198510,204538040,167977427,982743118,578243366,692949521,590881254,97386928,121343798,591459487,579025782,947828893,624926048,584766018,191554785,777216386,980056986,245863015,241656510,429601207,500903056,145652227,162526691,617892768,211960034,129168150,52231692,901978433,584987032,127825300,434285309,755788407,158430426,567944956,192855315,309858535,94046680,492074159,308580880,104962590,974216651,510491431,693235649,35921107,851661572,450609080,423366133,193784020,118949063,427497670,572715320,358553594,539060928,508342549,653903459,867209718,100012091,172873070,87436492,641043785,885700856,144077930,713416564,291638948,263671285,104814716,645267868,31623645,618227076,285614954,445305784,345112342,425302521,315253993,367560504,616391687,93385879,18106302,579863032,76923769,908311834,932592222,367916585,590030877,889689025,51649381,890262591,307802705,803776177,396774968,932914272,308475537,577215575,937132313,893282439,991031329,806264143,295042344,540523909,99881343,434583570,948086478,570448833,831704018,97330343,701001346,765686930,557016004,3276074,112436319,314572622,303484619,792991341,209755836,650199331,475490512,423327307,935879083,241887104,164765541,814076486,789699463,66928152,860872568,849063055,569772716,669157053,574060129,144219531,687913062,716246678,404115736,470215592,298862383,657194579,627492385,302717903,997852738,39535240,303368956,8476049,115773266,509007738,545538945,258792745,183993183,26841641,70266556,387283134,105600046,812107995,201892616,975675352,431857244,615363017,676548161,289592291,291982496,358763158,983083883,591835330,362386750,692005681,195764808,489456007,138363188,855406699,639455966,421268944,673739089,191376074,821171149,536994162,27242880,290648097,399148814,288148654,949401053,560752144,467367408,854556514,898984771,150141309,62663322,627124092,831073106,173522410,604073329,660919046,713083857,962228989,768885864,596689567,84491191,841034162,484861819,543104168,144159786,717826243,463710954,946455624,770882640,513425276,814912788,428817912,67333524,125460719,823251164,668467137,711556055,122743415,719560407,660337464,668446244,558120018,643249869,784961237,961153503,414920490,815917631,381176201,22002379,177624486,328090936,755290535,493853820,296607680,852855650,181141453,257171346,123083607,950154918,733558557,315859492,191731695,713104267,581517878,588763379,407710247,771345120,800307399,737244346,605976130,789853668,540427777,350566360,198288959,167438958,152433315,343397166,452360979,275421035,988075415,376048232,14553453,360339468,11599522,188918343,863546404,723423076,827012152,885774126,798920062,739356455,368573783,181945884,429724467,535135683,702200116,934603456,718147890,480908518,963600778,636873648,432387080,965122543,479118773,543707694,879506194,529734768,182870164,981558962,974716137,513145214,473918010,377908440,784216833,276285981,639075369,530006545,529408522,310934743,651213133,674572005,14972950,489647254,993577943,816174305,577837752,647243740,901596664,337821325,907284103,476727089,121267579,542318914,64674771,844361878,678625640,900760316,777645772,107081946,214912322,190333680,151576365,433841038,41852337,527356397,451020079,298449236,986508754,244350520,75965330,370610805,340298059,804157386,747113251,420571981,766048584,335922955,586493714,467765347,209914802,992643952,194336239,989062843,151540952,703374264,33436243,998645728,933472618,204181077,203294559,958243292,158454184,112704627,162360865,144858168,11219716,611733797,360812352,638695871,748344527,176606185,127995846,711644136,970790848,880290,520737080,14802214,328958747,317367000,976199007,439308538,257083836,571073631,170563752,220696746,401872378,155183129,619948406,949869706,309690127,904243040,786730226,119581966,632592864,455622088,619701081,82270130,3403280,635503783,695987152,502835031,343255074,172864627,436044040,825329721,211093919,471177523,747749888,43211207,582010423,188938312,989339017,780204515,940256803,113212106,249278578,281939580,937152915,105203407,629106519,281828653,857852801,199326797,412402076,319816897,719987646,916952792,911515639,896648127,496630128,428814725,100043089,287543423,84224179,73277487,997407970,658750817,701808187,61274987,223061343,290857724,682073121,159830738,724225067,923392344,920112685,749788284,999517624,573337638,555615988,712072226,710351580,160292078,459349735,970161399,207647289,852648271,133769707,691813122,324791152,805394002,267730315,690013652,341296316,848022938,122496863,622921341,618838133,601809359,479002298,17629014,687212373,589217013,68734406,211169552,461442185,756252882,585311497,205932086,222191955,366310258,766315767,989212677,184949386,492117076,185891713,589520010,573318345,347130224,982181496,430127483,303605556,727280725,327531525,151309364,916418990,32127305,373239495,938005147,914548942,293633809,96855583,738178797,646612965,970662166,929587951,560945317,745776108,507395116,105364299,350333938,163874432,309695545,687991734,164221759,50418195,609248183,970856871,624766204,592256165,775567664,245029287,775941178,713743658,20985339,984884495,678143259,960151501,828387416,667591587,671791532,227746225,664660056,264242677,940783206,985582228,187415692,381627586,969654789,903657937,154869844,775802543,774696001,895525340,775961002,731481897,791440612,199304961,858544212,928098004,742330249,620297642,394661439,226765385,365488298,519039365,71650774,611817535,36919638,155336296,292583160,943150044,608100326,984552676,125428844,637362066,639605163,609464468,561583133,870501455,8054203,892852442,654428045,880482,814614041,359769163,367229115,607298987,156801509,387937093,979171469,812966511,49777957,406581355,673560235,455355089,710883921,796325574,588101685,701954394,621205082,527526420,762320782,420756512,848809205,968800016,972278784,979670915,674277165,743415345,34180043,446249159,593909056,229651433,671008697,233820763,797634701,733622626,298341290,971151496,656921347,549064750,415738707,399261211,8715673,91546605,787853477,465999631,618626307,79701527,869266430,117548369,82831802,965172263,224277235,35770553,696353095,972276108,175553069,882318924,444598737,531813455,268980197,192951565,239993441,634087129,751689896,822473190,489395906,722741069,63252259,753726456,438893336,914587427,578225212,194920978,289058669,267151437,228556647,904249191,771636604,387686416,729470508,378916561,930707196,443823180,574973802,714346625,277537854,300180056,656705636,730862008,125853451,588095764,920119971,484214781,811910574,757282318,787335449,985225903,529899016,993271311,969842032,390910994,148976571,385906962,839649736,790809346,341607322,293005025,415151521,776289020,919275485,537902612,240911117,262995596,67480147,985555335,921214980,268958446,546352035,50820626,162413440,89149474,795729405,703625104,735075479,42047801,715615895,517798495,41231495,509001569,103025441,170065624,792095650,551001852,884400366,871421926,244738280,904986275,657130700,74755928,844038355,473077699,587607565,63658005,567557782,561655606,232421260,783645792,818042541,47841624,890494230,213533201,337091468,620507479,288253178,484862019,929066068,801406447,965656822,334810684,411075839,995739987,745368892,143264184,200007309,815246710,283080260,78565033,520098573,512423934,804698036,251324438,397505231,62007505,161309578,529067927,982737111,63413751,632695702,170242015,263419908,512021064,525530786,82570014,858295157,884883541,539114298,196681928,406743233,66964976,667592480,78660121,917946661,296628182,989193271,667325549,463148849,820632014,873549891,485837326,697864224,584087944,895853629,423008773,668495721,621720503,170232037,280788912,484298334,192723152,20640839,778015589,786642863,912874145,753823122,938234615,307523470,430084898,394383456,501743941,126757665,815064833,998285807,699446347,295454762,823848881,119352567,895070361,451833165,110604359,883757456,165432111,982718510,677479740,162447568,566551955,512152210,937615536,768850697,562083818,64865331,738910941,989247257,308200587,635692634,35672539,979966732,582697918,224828336,858634417,329602688,953250619,172662899,427374187,594415152,746527781,616704998,753455480,526309979,361685041,998927585,305315492,295049433,374913294,391371245,371871074,91709520,411272772,591255394,573129020,174085894,587765856,738877600,217747592,249633190,772814249,777933029,188828614,287932191,794337982,239683449,22106593,465274385,928336546,159126827,465148166,132336925,810993250,515187143,175367011,279204864,922245546,585442406,456983930,682814062,688763681,923038350,126592455,403103929,673879706,421360996,738083155,808654652,111173035,804050219,351710327,6650114,772483288,791627820,619800876,846962011,988422880,691147461,897305234,475188837,222690495,587506865,182226103,438517990,744158205,725436137,643978441,22462736,349297234,716989413,936028930,293225798,619035848,486470501,265054812,722400087,719657702,561243826,632890028,728482494,592614527,694838744,241795547,287453287,467956706,147266668,51606369,467762157,192100089,397457409,89383013,952264019,505825508,512787132,486925989,11852191,881322981,996616140,642498995,367283192,378309710,493000337,833416308,132176480,96347124,907140763,630373160,583438791,933937365,134459317,756083569,69682323,435409358,952622876,584798221,264929198,741529253,844639525,803511406,76562215,674561633,932016794,653867987,978027719,617395733,182770712,648063459,68716849,163962141,839387089,41717636,983099574,339512166,675718378,46239149,833945047,939936995,103188854,911034054,848277452,756367677,881883725,291958951,185515072,465508298,565809603,641193509,669251157,831093785,472395653,578964166,87245804,599435128,87892882,822648652,747048899,752906253,844680639,662005529,280932634,31656978,669401540,111504030,730232174,849340436,415840331,312066634,539415368,291117172,185601161,640370494,820077441,297799327,766896620,991611185,791067222,750287474,365817783,93366515,611800072,327972303,565936771,966230219,343149061,976195696,788067228,841363342,514724669,942722108,291822952,443683170,772729065,518308624,745407718,730814848,543236336,600934459,743334024,155310076,810000986,141915146,630946041,141910466,261910966,994225799,473130729,897894094,985107831,502557044,47889593,408780404,679172150,654046547,84834330,265388432,700570984,368269004,994268687,103496715,103752752,27765388,448521384,896917140,412648771,92830922,991836019,752765323,655219085,150841473,139142450,719633743,73663777,872140779,989060922,308246754,361163372,463375164,36869068,497734837,918279385,966663343,400190947,829939329,410325756,510042500,816360557,523865982,214201112,910712884,648528192,863623847,540470249,139764597,729108395,908335106,542500820,184858420,785178867,80774172,97988850,573527913,797247265,703891684,214613635,26241811,908422276,661895730,914490792,764149451,205072192,163364341,480401747,742605543,456630320,864675966,262035135,339874929,152105747,679792434,879308424,867832566,833346862,43680313,211813497,535855142,665541460,202750346,570077765,529209562,646493598,180016312,81332123,822339905,66386160,630457309,522863168,989217971,690480371,138613851,963392165,745645412,122026458,907883042,130643538,678539411,907734277,828140541,150614908,917722135,927284102,216160246,911765241,938623977,557007236,680246392,465121822,984379431,826163238,651398034,828057408,137533965,867141882,234458103,585292046,297811700,553205963,943740380,66806084,795623175,783171704,658336483,825879862,885166675,107956989,853394189,672116110,310078773,148910275,472014403,125306352,847686569,165688801,814418028,363102171,923443946,565984560,841426564,75842904,910322810,172382651,645740023,702458635,913987062,308033109,955162441,347287800,498454021,331159224,492142815,727318556,198003685,52641178,631663931,339830307,321917869,135882209,525394405,889154983,165136223,518201575,395040447,792788527,989232247,110884291,360347893,305362482,400425846,462197560,475832418,618949391,420406777,171728123,514754411,565942818,252186378,864243663,739103650,668629628,884600870,756970637,44679581,489514805,741822758,274976077,562209816,843362382,939723823,440994318,127931341,87746840,862969363,615787653,186484142,597387329,848434330,803796983,975117807,802927869,180624217,894986548,605079336,955044247,816631921,216094178,729568914,939979623,137337798,8327164,462845226,727145345,709232617,297554595,459232799,346565155,316085533,322121627,76430431,808934278,143247719,241274008,299978880,778275665,342367482,976025990,530849868,421220401,847773028,885935807,578923463,936697619,185817342,418749201,119149074,229143491,975947398,819853562,770194242,745467516,854211176,137864901,828102534,921170012,823869361,348286015,159257234,991489646,17382860,785087485,101123299,727510197,366534301,124921766,598480980,334913704,501133245,600478007,763920920,428045662,474787286,383150894,181143009,788443943,46616819,883227871,853531864,114403766,920460168,313145473,938209699,838538158,460379823,829985017,70073780,290491377,774333906,274785999,943429616,574109157,755511452,901126176,137160821,686386353,938845252,883861836,15190593,473097016,301852620,570496027,570283302,187548266,460267414,29933182,647460922,28821394,360778722,819672810,543525111,910676721,443813933,642996959,204408585,886151017,41451313,324137796,231278608,876864481,624433521,66293080,80511917,566656297,839373954,954304751,671611172,549738572,360306729,540311893,639259678,592443276,788283957,814836960,725547846,765495963,975700394,596368917,43709601,124655947,801094676,682497302,35189000,11153274,296277298,918809572,257354952,381932697,299553461,672177621,808590741,937190246,335592232,270645083,135677221,489004021,820050804,65425260,118077164,159418700,768478013,342236789,309345838,596626076,874943133,882704165,670010458,182706626,480269861,850692173,818189756,23464531,854718813,460039879,412190936,472392873,972589311,444438162,500338579,476555835,238876072,425314402,207260205,643555040,108931990,216716758,452598594,570291371,508531017,642040951,888816903,523004509,315845464,864123976,18404426,946314163,510494920,526563622,202108526,655004836,660800208,848478215,64149194,309443931,316175249,551032056,916500380,101962175,905383886,118560752,781347868,369400534,68346830,70867211,611848558,880254642,345715219,586138729,85457883,613969176,790498883,335036360,6894546,797947581,862895005,787839107,630029172,567139842,905470726,437061701,909646124,210948163,114490249,366494921,540051544,806886078,295369099,587591573,558260585,290444833,327926970,298281030,765906211,133916402,549275314,589341553,480875174,577625053,819726796,328500754,572321177,813895947,634094376,334198472,238715780,648165722,33906048,82458079,528591457,243025744,378317845,727577661,784612248,382577287,139804178,537823007,967535759,531561470,816356271,581404099,741464621,738854903,439811749,929351230,107845579,563369619,993449214,47159361,407789726,897746161,905484730,261319298,715053097,826649347,568668220,369457222,369041502,749481970,516683697,497557503,193437954,469248010,179977283,247560999,718390080,963495894,658361398,406108768,165275618,76532795,95818225,488993099,811242196,893982460,780534030,96141828,924561312,50242261,184739086,657603844,435428199,860409633,649213634,499563045,174033612,7491711,532074672,34702728,294100318,632856128,347794924,471411287,519734622,952060175,539637480,993612578,190406846,511177791,266897534,145766803,464885210,977827425,308566292,427600152,864260002,797683379,47502557,131529711,827229417,638380864,888400362,23274326,92603492,233692987,645392766,593117815,589699825,62808513,127038842,350541901,378046962,839506064,562431634,164922012,463419844,146937336,693654966,441833486,549814391,528404387,596257193,758688029,110896696,938456135,502428404,915075257,425620493,621462350,434334727,35243281,452168455,953120157,70923908,782120189,85535493,530186181,389098157,179344431,966997194,960601909,86333721,128574828,554147840,436754621,867951473,580201550,360255979,965468005,56218697,106116502,582437523,810060481,182639617,339844828,555211350,410092935,542665280,621154374,204120086,195324365,995572939,698813167,257638199,668651409,872047043,341256534,973473467,294804034,329037452,286860449,336962753,811468376,901581251,579255890,509230790,682270434,628468941,61495011,34050000,414428041,139160866,302785678,571825081,326321390,482212678,960348540,455190000,294418410,518297338,247697470,294206896,800896173,302677183,644100037,876875215,939844649,502495183,872841926,202083686,294313489,156807668,280513485,901244875,760909276,725124902,813314027,715850259,74006837,361972084,520609105,359820979,824493829,328445918,584177761,159012921,352305060,896478086,475633475,304493335,913758601,446117899,494945142,895343205,82516896,932260257,942105422,873611446,27524600,122670318,716760417,464187166,370268984,289931405,28756516,270174466,238387513,924938806,436744366,342135581,28879383,870907274,859641509,808715491,35106193,186153294,956784444,995914013,765569618,455772490,700143713,947208672,257265899,849701208,312566113,164205858,114091718,684997944,70533514,531028204,961136534,728970987,890206207,129293936,95389808,781693367,454883952,710223544,518373966,480229769,267240229,362614175,446299409,568065573,95346595,528178264,1291923,592009060,59179195,646051156,545331734,494673899,160274249,85498709,118240780,269871016,653903771,523622215,367531664,519416545,843364152,504638884,738526629,100695194,496826964,982089755,76340216,131973353,516274186,779337428,853143868,670032112,864305971,385364479,274930716,633947620,978104979,118922662,306332493,393807213,187636415,623213878,868468009,482143947,850367139,522853201,280284654,101634180,527120129,4549461,890272424,788562723,739735212,684611011,840079918,355588443,643719263,396745068,968265504,618285051,876135499,664300116,342449443,534301989,247963724,539371908,714530057,359688391,902594931,133325284,936223312,156802711,715059021,960178024,705084398,543084579,162965667,874072824,407978063,11561802,440682471,38812654,520388324,474048715,580286378,812139788,952532178,525550971,384931581,986271088,328380257,999738381,31005236,736671541,262278191,405540851,340696013,186731802,979158159,872088368,104964325,895153383,121269370,741922740,30597026,910799658,107817022,910408277,253615044,886396186,361283176,85763046,358306517,26758423,111886455,804527739,206840417,47770196,891751599,356871209,232121380,869919914,330066129,797259525,651693899,20283492,434294301,163018732,550870589,991826608,580703453,111792206,661498669,280981097,391178121,347293096,646933117,95999707,891715552,99417314,91837477,252989986,73453236,87943888,265557858,192235163,277336567,913082133,276450995,786058331,549033843,951395768,533513865,977038250,793918457,892952653,956854730,316873565,934824343,110076010,596612890,787477170,469830019,757773729,228202979,999674341,945847093,317083521,763054293,476843021,565136204,752725513,131442259,55841256,952791017,526120402,534963409,66968883,129812730,816463381,565316871,550258841,383980447,531404709,724180743,704521640,426794250,675820837,749213218,69224414,450245997,550091741,941610659,63283199,525332926,739961514,54033010,322675714,963285467,949633690,49849559,758504280,221457807,768055841,78952,609148656,813664607,596483587,404810798,720290289,786235618,813286999,402708411,169632774,280267258,963002291,243244597,705622014,429751051,387334942,757309543,605403867,60477197,458001665,307322027,169317163,559122424,186393211,735574934,733024988,797914662,293680054,146491107,3156954,979803348,443844508,170276183,179872928,388180496,838305013,814090296,673701302,782172380,523627105,718077964,747359532,647577715,179178052,868358682,21863375,458355337,342948189,441237832,522641077,976301435,821710967,284233557,825792020,826397844,702130772,644801759,413485033,263898504,755641895,408786017,929870018,869295526,548647377,141252014,45212434,649733110,9643896,337970446,209219154,67100797,917206877,477223611,331651686,774729915,145958493,442833209,640098219,506734095,379345531,78935328,682940272,830469704,820696369,538923430,573502341,351156261,652141593,165990857,549928150,482843596,275750927,351359463,966972212,945939711,726554882,752820529,793776758,434865670,337547563,958184665,364455570,23256196,463383230,609220234,495886183,573396425,461668855,593440880,652510688,594251265,264318456,780878971,625987392,715177281,164000967,969564025,649339803,273925492,764359901,183532143,101698513,734990030,575570737,971285903,216066517,961124793,243237637,186644931,886376324,391046321,581271089,522450345,968352867,957501179,550453339,886037438,521817146,677705816,192436438,785386488,732137319,378913442,916520908,295983308,807728818,995899585,130889560,541583091,25219977,934367369,261653931,355246489,361969281,738660955,811445277,380148554,491220723,582781742,104347943,819130118,91299224,181361348,389337060,752482331,144402387,687967566,838838892,710430613,773916894,614535992,960028876,992899086,724343501,832208894,338823417,995269928,541904159,428197668,477033774,548275635,7439478,464309657,485953955,977315311,341922314,617938889,173176336,523247851,304456520,611142784,340540475,76092957,648459887,350747816,568087380,150947528,405733,736947022,959679520,26680780,659505662,694615749,22929321,836791276,157345328,692597716,243515892,778269055,770173486,518205661,442182740,110761531,428691890,699360044,177175689,360665345,417591978,913244089,479478136,432035697,454028437,789446331,516282680,837731046,455657900,806839282,735151314,57364557,872428843,778690997,899501946,557230097,744002539,5867574,250669153,456613856,6110401,581799263,905113646,213879014,843053643,651360350,574142214,862710936,860504897,194852126,311844477,587623097,463801901,95753776,989328550,435184109,149061279,107461418,792202885,927566802,271430090,874882875,45170985,73542215,600380059,362925966,989644723,291326752,720975539,555817799,847285083,648954953,476681068,50124769,240124557,431629633,140425708,66703104,314120290,870139671,420096557,610075888,834619643,736543219,737809294,779024669,85877610,880658665,737526783,8812646,782592746,906445909,997218352,760664729,560541542,300191672,852037978,943721857,463619515,940624222,811639972,595486652,820527349,759431790,890396910,162869292,62501089,248526420,199900456,865254089,812745885,207413809,618960887,814413065,241457268,662675420,629295760,933264523,567363940,924216294,848360804,634221806,956184686,421516853,232841040,706290070,66051373,961043539,950072155,915747569,670972694,91138629,190322772,893817265,178479473,649244290,140388340,350404694,288335401,661102973,670940349,854707119,568241982,246871872,286674141,839843314,652119020,764563149,927811448,15469822,204742171,474614927,682070774,84614990,80044928,104325347,24033290,783768589,174258296,444066918,960598056,57760858,702547674,256972327,666099918,824075749,4736060,134358536,284372830,159659395,582802654,647490747,462858399,35181096,502169647,932614492,888937592,494179709,230380784,37733002,745113520,664095590,451099985,843509169,120543471,458237819,448189759,911310046,794719253,424905628,827495185,996873791,890650456,789860743,111642020,555870249,919276131,22252396,512343597,421690023,375897119,828736809,566530464,202684677,88222714,250011967,391643778,991330792,41408746,305238594,150493233,247866585,673860357,79823370,245432005,881832008,850883458,830983785,850983797,57234042,297918921,44940715,252349328,945636395,827975081,763264697,776395186,385758015,272273129,39750122,303479494,552649155,809890423,363609102,618368568,35381079,44046245,12986845,954994209,763646831,257602798,259317827,350683338,640090562,136292912,192874530,920689007,21367914,453798042,493041794,386333896,291276733,526330320,357542923,169972274,620812953,746913722,91479411,266669734,673070267,572382954,541736757,28104800,557714243,352090361,944250291,352260227,528087494,963763490,78921712,820492392,42548081,801765177,47123079,595366727,410398705,945981823,205114741,55112944,877618137,817984893,461331834,523410302,993951198,116004076,653394205,816783643,362185641,889768011,331590658,542784338,532759646,323955177,501281526,902728159,51814549,90442028,214853916,473330212,225845861,920628175,848971753,602442257,908615141,498827137,235210900,833706874,192725867,26286119,866722050,500156731,311678026,223761813,471351416,400771762,12017270,973258072,327318740,426779662,659952482,103359803,792674661,600073613,862227844,820576790,126753371,885387378,122391957,269327767,136773745,160491014,298705187,299179167,120012048,931916058,20416707,579782570,656913063,91740508,622684038,702537400,703805374,210640811,322409481,295676105,678377098,362530208,592052759,662558224,80563500,436574251,611567365,162273698,539992018,210599797,496489148,830134736,949964983,420100294,680040757,150620889,398279347,370523034,48300745,426155623,424898623,89068123,756675008,16965951,930378997,285606283,921225575,718841310,661772146,921707085,976661523,534234329,149399647,656368820,423616308,274458341,197734111,570771768,963190265,69496940,745476119,909130001,666000796,804705344,287504765,503045462,338322422,121844196,726784995,138268587,700774149,758819304,105516379,816914990,974109827,898876342,630428917,764271763,716783593,969279276,708243559,651495878,518815144,299105731,802193778,441717553,38379260,583130611,340820762,509549677,936352113,522625567,89928886,596337906,938366507,463192380,437738163,621503976,664446711,252531301,130632882,383121227,709724063,194184674,850908440,309636512,801914853,737814835,574693004,730659104,200917505,562080860,500715478,967573449,845013539,672605952,510785426,652314550,683743942,830004647,524972261,856871615,504340201,63979382,233620794,430161289,94358732,459612919,383366346,394288718,495561747,772623828,805527817,758147088,567895718,634874546,982071924,641869806,623278354,617180334,52361714,126974831,196159188,669814914,333244598,771370686,177201473,336292905,561791701,831813049,63899716,859173132,213230547,148459037,380215895,703525855,249865967,259113041,289968118,90373186,438446592,657090042,670455848,246500124,445530645,844869571,733171539,307705387,220174719,335066228,370277409,289702154,729625141,17704736,661340902,695904849,557805875,157098501,884312164,341619623,371998503,613554165,384857845,287637594,659403241,74864472,577165101,565464909,327365984,339839445,610038390,143955677,90377764,644731247,364811224,943718358,235833005,118712852,243023652,410371069,635654576,358569837,943947399,214301860,57253984,34350982,777276178,386876655,849063287,923783364,270737117,915310840,58911434,475000010,644462533,892699146,508090359,896206002,713087186,13664997,725473707,50909854,436134936,117566580,197312727,178627643,393704984,134512176,961805790,867803606,702836183,801437255,989427222,875558822,534712567,253165713,207107955,880567951,44179710,72056699,964600290,522780145,420036283,890292800,595586233,750375987,288600442,284029005,493857100,605995932,654059368,297719006,374733586,187429082,760692473,712443961,176104858,202348886,32352723,134858890,906341325,930467263,411161275,10195870,775881437,566463267,361044867,425881910,988991761,287154304,819979413,582126486,316136298,137096140,936922780,218876650,109980738,985052385,607452587,734165749,752733246,398522967,786273727,69397306,72812288,895252706,515424095,882036375,573022750,334908288,75981620,628420888,248007484,7174919,867721212,514137039,155993929,971821444,396133596,123819302,163015600,990209396,323232656,982358663,685899015,895415395,197408460,414358947,169004403,34014811,462324393,599038198,890668595,367113772,974766450,568461276,796454245,586943216,367103516,626319661,614729138,147753299,238145955,889097953,854453623,778154426,786767251,773471596,551647712,141590655,159127527,60797777,37451973,192709904,573336817,589289795,706999463,106282598,706002060,91056070,901574420,568572092,601411645,837255289,90887852,177676670,526030518,73691212,751999060,48568338,420706590,212637118,805571164,897701516,830836202,469837698,425995960,782482940,645975186,651066400,161527345,500452280,951653093,940658873,415165722,817354777,224449310,808255707,593819367,443134796,742497025,410929604,376355492,75837200,555443363,540367299,977831791,526286419,334791932,556384876,27536657,92655717,657023306,252147017,740226187,514918463,816373328,839565735,784335017,172108662,136187710,517512236,435488945,694461186,958002764,244885579,435106604,935373804,881363415,559695653,470567921,81461616,798192404,546235972,315626141,21976282,691455156,486495442,942928553,310400930,5653271,844160567,488235273,733991435,821405638,956544390,385184366,100757524,319753327,469356818,313196048,302299854,350752150,90530624,896495737,150470130,282921633,712424094,27482817,651715430,747784774,898213951,107769372,768651942,867557953,514277345,913752651,625580715,221676775,358663140,842659425,135192309,764965914,145672262,521534759,602542169,356093075,730057977,803419164,417896436,199373010,477373350,826430633,756502840,250813115,290998356,5417690,565182164,604403927,868805386,199274916,181911438,820944427,162719958,848841587,561054964,24339551,290502108,297901471,481454262,45212521,825112537,593781811,523544215,142749794,552717622,256843677,621417660,557858185,890144461,659661127,125152198,542622920,255238115,681695151,481546742,616978502,453298950,946542255,107204059,356781849,855734935,959459351,514898411,862198954,871495762,84020246,359489789,484857832,608184852,692288913,89798918,377305743,339366523,330794462,318195301,849228059,674111526,211368866,232999618,834308456,455897882,597852114,128369200,164423058,597123795,392536287,257420267,989981255,976824726,16183407,779525840,33974220,533381181,630212105,678568426,535894892,555224135,426711387,702580863,976683782,96079480,806251719,102204861,266098146,430245989,617405607,862245500,84203150,547136277,965699617,219049808,121807159,648067593,386097415,601226862,368195000,358344766,437837874,921630662,796519651,205314078,353994865,222716205,219089891,109132944,922004157,454599427,357489621,130002999,896427584,714933375,56324321,400451506,909319734,290800887,431675653,638061876,57772072,533044713,55323636,842123102,352674403,430186949,21524824,890779416,401787381,606393126,823174271,557396635,61483451,411624100,954483194,576402176,912702140,734174710,987912638,214581402,758274325,45648672,74801233,412702785,663358751,251597224,426832476,798081489,33494873,576713184,172101800,164578158,563216298,571317114,961363299,430588028,318196230,683145173,129770808,295154498,87347697,244159504,812917048,342162769,429463796,358713897,181295656,921798722,450248331,995972022,141351063,340845404,280830113,584530589,330916510,718113352,929157555,181207992,122822851,47742326,77943556,387028879,373329656,517338077,537623440,511276751,117775461,337927495,78888945,215990677,99483279,883430627,158705361,740969484,327343218,877896124,799511104,862636883,595282210,110466900,626463624,512353718,195753305,712507618,996663971,646665,779508573,351728046,869447169,422052491,472707603,95228722,551605759,955939010,157730458,680206093,842654804,826393720,426408693,636308385,852033002,235678009,45259380,640687129,178637043,924014191,807625131,426712716,364753700,579809411,976138248,891657834,921137055,130576800,903123982,650036293,903507605,596068733,474865278,128516336,740309843,539757434,789005829,377587157,553317040,75112155,943968968,119479100,612475954,567897383,309050712,291973921,936845672,303959925,225565079,925005464,854528097,217689340,146877116,49442970,837847733,296987327,904147245,153062488,764010658,663692797,276196316,529240166,851548850,920497040,641526591,379624661,546003581,497634655,163689269,405279586,197584682,939204331,151720985,546256737,94413475,290585074,569424962,957028704,997568876,589983691,584105286,753127018,605533577,950445818,834572685,431675047,970478675,687746629,507327511,18452557,536366664,754118544,237267900,654978478,13838835,244578048,884471055,203015558,271372858,673543212,178286511,306572909,459538475,413204668,737958562,319967514,999021712,224650187,35003195,966571389,554005951,468429379,970960400,682156084,385474279,137372066,839092589,99126975,963018112,180957208,189900947,412274457,451783090,553975046,859524523,953896118,900143271,917848007,287532891,784289763,958363870,664608062,118374848,317152495,351740393,827395237,700792542,446907307,299723018,873437960,516131021,389614130,139563966,917804150,584804658,350889800,905482036,620458616,606657331,387729882,455721617,347835505,278313017,503979436,542061033,578298115,792304247,826786737,305332589,460929376,772739780,512281994,835407134,714460566,482462322,399422027,545359767,635674519,446355187,103492366,712428184,438804156,377829727,739177451,579704901,424833658,657598936,468121624,904967184,897201222,543927510,104846010,274867483,898591215,701316124,908544450,265598042,579787761,83830880,264355224,684501860,842775392,49687298,266313904,189295820,198074920,55458857,6166828,942787199,305152900,991057298,101575342,124518065,539838956,445099317,841519927,239838023,292987505,109134639,119754068,785504633,537394773,578215282,147109340,757602719,619200634,809601210,827890893,51736323,501706680,595433338,134448616,285542324,901582795,754597379,276323983,619176329,721710648,504217527,266140030,16219642,859286805,461379043,638570672,62008281,911107517,746820714,487309294,238770406,551908901,428615685,505179165,740402887,260325760,4877352,411197156,809923075,388666218,773837478,203595774,820423431,457272944,772466114,740451151,668119569,25373409,279327102,96221137,428085903,912487524,409737668,899156150,427904672,205607956,347231892,386910263,122340623,590439989,159304955,18744610,73338089,707797567,864713326,324832556,560795180,182649391,439546282,42394625,410453139,917138890,607680131,673929602,67925577,533824907,509102790,569032296,594789918,431282772,44344020,691479111,58460153,586039077,479700811,712635638,689588036,113918559,675107950,51799869,753040919,694994237,991209080,33182102,553269350,40698320,861019683,852150717,91594167,152068570,536288683,250048507,54206960,235010014,343087511,384029973,158841523,494901156,950570137,923302532,101245139,143960381,15598882,112151081,893401773,991374791,236611884,100734158,202215955,71701359,717220900,801273540,979771466,784826808,328632536,172008993,294232753,505571704,435447562,15281404,267032859,408068448,898827230,245671572,537192365,238789435,315841205,667589770,463592931,216399183,733480692,912573870,87494950,782895604,34782290,766088252,99884336,460698144,237957906,942535021,555331690,650077551,108163106,679307559,92197630,52939010,893334394,457047155,729106809,349333725,41666833,977942323,23281731,119624745,383948542,486852263,698308260,721857298,691205029,737609265,735298475,528914158,146590079,898229952,596721058,462583789,562755105,185938975,74974779,761024378,484938884,690029858,200583897,129536652,400412666,17548175,82962620,652453255,386510575,635018105,472983562,262607671,437670038,488834164,430202673,796709652,320756950,539353024,481616754,295149392,898001944,556781367,977038956,971204406,971819521,228156155,304984587,562772758,561751097,579030652,886333110,135960962,457818916,946067384,802217912,901775033,870436702,944755397,911497471,872006660,977849795,211853165,759389394,826362376,564702334,997346680,28091461,896490626,721637032,727686400,597596027,106575071,227353954,436807996,216883506,16602193,107594004,717085470,401943385,521045022,329755603,478400453,900777445,408567351,461645448,736741871,688094870,392445212,15818091,693485761,457199866,525852815,663446086,350230710,564614568,365258695,899570096,115268466,23373446,626889257,201029688,593809151,209296821,683546724,441806798,582735427,165503059,349432491,608113963,89155276,257223972,755937619,468146834,891130879,559848680,955256365,150212743,21154654,216393473,869870712,966971649,396036872,438882199,893253880,482080474,76599947,101981691,659819252,344288228,721577009,346141186,440718144,407091806,72045011,140794953,880697540,256101396,642662248,158194623,20612763,698149151,546523393,874622556,635222706,103282462,687419952,882110875,806343064,612266978,710727961,770874736,368495772,519432461,86654972,46785081,439118124,920832414,766086435,447461948,530187780,74909762,308043233,849135533,796908853,6323464,559074788,691184827,293058240,342539438,515392013,488280208,623640736,758577556,416272876,283474230,910095262,929491934,184520088,208161803,204629480,165987074,674268174,621189703,683606313,763604799,226362846,340851572,376571778,908678652,369595320,900325672,705661273,938912948,118356004,929837725,758953876,66278946,840143475,210952242,857135585,699442904,808165584,938504473,136747162,267249571,706924604,296687760,233265805,981964657,148543900,381375761,230715307,410841166,377216305,999789369,217273654,716495945,340219124,230141735,512629758,32357747,262593821,975059713,180030216,405249407,513771015,937175650,703168319,998890301,378410994,857719646,750016659,538146897,225215924,194754525,26258728,245447389,116796966,898987005,958010284,884606825,507535540,489999347,828935709,960147880,958648865,464544031,406621312,465527401,485198896,782633052,93087183,109289781,955500397,999755483,833005358,667716067,448922765,44764417,203607173,857845112,793446701,358337580,240182411,782819757,343979028,893708724,697901240,246029911,260383119,379189923,818384565,415951250,55403024,236642534,54823685,155390452,550484091,624952657,712330874,584798868,228583555,117443477,300636603,348890374,416788883,912690717,182564016,85290950,873050419,398819276,413087506,242535092,441270677,386370044,696486353,720359720,669547559,963768256,966240073,393329426,247596250,973814410,885969580,828819050,567825625,410886077,112813902,251799792,951988654,429995443,238623691,157714089,31447113,207379949,649002330,88228111,887378173,607379317,947511678,708498959,909253999,373000307,395690593,45845243,401259589,728897942,551430643,441158562,9200341,846711300,56291451,316791712,487255503,641642951,889293416,785675596,622042303,86822783,917440762,197325066,66827378,270834818,745991675,859533063,30763454,62095,529704270,105941722,472299220,323609475,193229246,427082773,283848347,191256301,679648175,438679558,770732853,640230364,876454231,235456366,255315707,904319221,488003281,67858703,259321435,735359273,289682554,888188298,584688986,225851567,602224235,929910643,586679626,928061902,539488199,283326031,965546997,263566560,676866109,412755728,758880039,613923282,934063939,263430447,834612593,969959186,742476002,615589416,383558844,880925460,882383516,59925124,104205219,775225428,416746997,735277108,271619777,674436142,592381611,71330641,792241845,689292205,620379965,33345764,252546858,183450512,752029187,241280944,851116215,717641063,114026138,485029718,779096649,94350877,787837955,95255325,725020300,178165834,214319446,803159344,214107983,715747044,131816814,285216684,900495267,24146378,371296669,643959343,421926689,235956539,206748906,745614880,33369137,617632536,546254540,359629228,326927098,485812582,788106513,997798432,301945763,966225600,585200655,822980154,377425965,844613217,200437936,382608522,64996884,937548873,552215435,702498824,157354919,838534248,697868072,385948967,930892893,219853330,867057840,613945514,30684315,305725687,422059725,242321075,465075024,999846841,664555292,648502311,53801982,748490547,514024335,904117450,966725932,717682132,920183672,161417118,64951783,623727051,350962176,281206876,700523985,657587940,809920521,910058814,369952417,281894198,160930676,318255747,387022658,316020674,47698111,701168524,129971438,499036590,235173190,170072747,900430765,513824524,955685567,827608323,803930273,898514272,165374691,704495323,332452861,893407664,109994983,700665836,404632990,434093997,268922436,716968998,225760907,574731298,236437720,551306349,333994987,75231339,744773600,492240838,972873335,650604530,703250652,931900925,639443122,409561380,154419999,239388733,671766555,495136487,313110632,299644464,319704396,110312044,655257342,133645615,717539208,719562077,530138119,541581302,686277406,419101257,27192544,75219108,126666812,483749558,614572950,256885492,647552043,31953040,806821914,795371207,773720373,519204654,208295383,232053453,179266930,291159475,1692648,120940289,406684235,373589220,220873466,803259944,173102726,723993964,154138308,833383727,331872652,253864520,739342787,775884151,697804700,115995439,238461779,574508344,710591968,720053064,984402190,347958933,797697551,244040434,743202586,166918567,165684811,658016510,635938617,728416749,278083697,939414487,12410475,191366012,637410174,30664317,460326699,543464412,617676770,17542140,599099050,713005699,836410631,448261483,795916402,851446413,187678090,658072931,773079533,634222151,549714565,464087779,655718638,597771257,211013503,67872839,82683107,631703458,633090374,922087227,155431254,803057021,314596889,972120046,160849291,43357648,550953896,143316724,719164637,307415758,962052442,425392197,922982103,299317591,916494766,763856390,537581112,409957935,609764084,385722402,610886830,648545742,411794441,496844057,950873497,667534712,641059086,593752429,974347123,830380815,204560854,374047035,679415838,815527036,15336556,575172026,256650838,468521610,26055675,317862191,520540280,989733402,65022744,517333209,522858586,891649758,513142454,475123766,950038060,618431176,44715453,83829218,516223285,200205989,963050243,566841397,641897798,628665520,767544387,172104378,859946822,564686917,323988932,331536323,733221379,395999586,581130820,221029982,655767073,890102587,822176048,915437319,344106572,481191541,372578728,872415923,469372593,174486980,654346028,200321683,387589304,344966838,442130433,750520706,61542431,629024922,43463561,448371604,556330151,640488789,189752209,73077828,426876297,883199036,790775492,441519415,730841631,694058224,674283096,750935748,217802381,591224987,490696085,288973041,258546546,848715341,416033936,919722015,931409048,976716584,911371611,58722938,686627026,57248062,88108634,516732748,667916519,149973289,745774228,814717454,992468330,810643050,355293669,585834112,933761951,254151353,58626535,853468283,480806736,599452980,504283627,497132052,450181060,429343416,959800936,115074486,731340970,147539206,671140106,3579920,412211975,524179735,149050942,967912822,587434346,45502510,321571909,836375713,336576350,947153073,762120545,561946021,606225029,865269172,13572188,604090007,753055517,997074457,927258655,650720152,117761432,717872117,731427333,526465025,530706388,168487432,324584999,110113554,993149498,398105155,256297114,803873755,138895684,174237741,468459672,458197248,233318214,860275559,703840288,575648561,121744148,968123441,113370124,654182074,894153984,232782718,722843512,236421956,811351095,328007227,767538793,866303945,386373317,685976054,701461779,200610029,816076555,313401987,992776561,679670435,620811197,434383360,236427882,809840983,821604181,343007114,79683863,77360677,9417313,371653034,135754952,816031403,398742213,636091564,153249215,654439706,440557636,471074308,469435745,573047962,695494754,98062090,534702710,685861803,538492159,286616112,967377684,125720783,505637711,4189636,801838010,622189972,64430917,495686629,806962020,258067307,135069631,702078365,705627127,153685378,921430929,708969565,676140594,771508337,395865558,17153163,453018645,373041399,285694459,959135294,207026808,820588975,467130073,174658116,816099811,56918065,98139646,916932702,253527475,109683117,931962739,532553637,578692952,160698230,368682505,96500474,271013035,274113327,974106520,861844629,868588307,337910338,192153163,565161861,378493147,962274264,656877339,887589400,706841777,129479380,770927237,831317622,674365707,635199899,66520542,109453957,97630857,262767827,208724382,641279325,708616758,350037685,239275380,877005511,704610428,233183813,500044933,770621889,648374796,22949999,43817935,534112747,231913445,488693030,651900253,539608263,440593482,565437180,338060031,69961620,141896677,497520855,819540680,166438367,234031241,527890799,853792205,977489352,225386389,778621472,289520837,952397119,204437004,972445826,207235713,98730942,915302330,561663022,263169963,662306352,649461554,968580523,735319566,183792245,938703755,508404935,712810860,17240024,500398758,260654606,650953887,392231749,502472239,776804904,610878197,310689526,889300335,239796608,996147124,677118810,648533616,934934612,700858567,230360420,536190535,540461799,647501096,790172405,749037446,273365364,769392053,947035231,15258676,219168744,591731226,746365420,109387714,531312918,473346250,549051940,391239002,535585969,677627414,540227089,957627867,81544190,198139649,254397269,500759896,86091857,988794317,331311386,18712762,345854343,583211265,18674817,987470967,909005805,602325150,188383650,853378261,250659557,158267854,405281886,137057779,426274412,290160925,152121706,83325232,667397852,756481758,881653300,278293473,895104896,956781280,428918470,681247062,543592015,527045761,744947217,813027334,618064994,377272247,706939059,322089985,626761856,886448004,518801073,327734808,509002975,463189187,962194325,935876052,523439995,883707263,619978402,530941065,865515471,565558713,44528288,878382331,609302675,659245985,248512611,303060574,832374357,493339116,776545208,599302237,851972266,366653286,732055116,923127856,514762514,421272976,46259688,5971891,356184326,151297681,42494016,399594761,691716841,372532371,784260333,918023377,268951604,906728219,732765533,33715132,786474585,530858448,786094510,324385200,243714534,668213384,951625517,7469208,964078202,788041512,862112658,482585685,241357746,905205014,242778590,354853451,722305741,148833018,413046805,653368127,300297849,971141211,662726642,795724875,602488320,375285210,389818047,648239831,596990398,376997372,110030349,556399159,855488777,741383927,985980045,350631334,839075452,127035987,224368831,759195304,302354110,372371559,282852952,933577217,727046708,180122577,461801389,540763511,538578138,428076243,71304943,670810664,191367817,142205264,621282975,957872066,510721870,942389498,800123614,500082777,209834040,345440183,357701824,848202898,860422791,842779062,404821037,697045673,288289487,576257013,633198233,311102851,628275741,528783127,834908304,974116201,660711394,475125963,662664033,157659562,501711622,252776639,452795601,387435643,98896023,612854265,463249899,125435003,207197821,279592894,89971837,848851227,492658342,488939485,260817995,619949716,111314198,912171377,543104942,917983970,544821383,571904067,540207970,809030595,529090872,744968234,793948049,202224123,20479893,384574462,631409163,288291323,383617955,370741778,620783159,556298213,359733329,850889547,19121848,634898686,182926309,115026212,200785991,90628692,532433327,522033535,446180928,340552189,972123546,951082014,465467490,49759961,796559427,302414561,227298764,30274749,227383396,928937774,634466972,389534178,215530561,876888491,574246721,386861180,773229541,171753013,147310807,415644859,336477666,742095065,173095393,953979282,83662953,214168741,234140442,225845230,101587422,934143088,910552674,335332223,444573705,376788358,348440989,350983473,325551916,18528910,961397023,810752889,611869686,22692405,540104699,626007032,643915014,124664529,882452283,624604139,455107539,381239040,86093749,875513307,658611396,455723003,440406983,114298646,297233398,640765378,962181399,723277796,735069752,418619503,642119337,271920087,325617558,127353897,442197530,929618904,746747656,248601335,291794247,161682519,581775848,207697382,867620358,399120855,18392124,572596927,419123995,818361590,731870144,928540672,550680616,604374663,745814746,807899937,603273736,180054063,194744393,559257805,771344026,27263041,5773085,522943085,853456879,569171383,168520787,414562080,302782640,547155770,830781194,232454301,703281297,517082985,782549374,754020502,109338120,681305825,603977415,911276663,998260453,415154419,215503609,353575512,373119659,953551245,717356849,247073511,166573609,754833061,787813237,621801680,704068639,423640993,898662789,837015173,842459055,675768423,700343294,441381634,272156625,65459161,524598035,809484348,746326835,570668336,497806006,953313438,747586439,15554519,759621927,378206494,954192775,710099212,109498701,48959136,804427273,637273584,985870848,94242207,544325700,385525126,33870598,939214498,295621434,141782875,174161623,106780598,750518573,700687137,990351827,423288251,995698866,252862781,349809396,412128982,518174056,984696853,410672713,95851600,166603153,896648726,169992710,635025781,580556995,733947381,226280283,392881887,132221739,228150172,781731782,100177147,520626725,521333157,308020906,505296103,439032392,664765555,635729393,815479284,84689203,895370601,261795972,773207412,127653735,150382680,571102031,350445442,146538607,718603611,405804779,519686112,496917137,284467255,536752858,623864512,684754769,765250762,484620465,379590549,225867450,502128249,936230196,437853023,14759566,50739716,869099994,426120738,853948796,909199045,132775064,598868505,33935724,45135363,448848337,518547061,155532172,339436574,673846453,372055225,115961942,67795545,859804038,2914397,262458794,8973124,467428257,218887364,87402064,281536757,922973777,390695456,55196852,989974059,884452438,467661184,62180044,821620126,643605427,39505577,120889682,389329796,893898777,504633791,256975800,571351530,486504077,434409955,602802740,104481316,634857970,982912457,296446887,790943898,520031479,874993258,748877550,108360437,960622292,877263744,458536926,216927312,920388565,84939992,660600171,673714661,590050480,167999957,840620036,242100545,200075493,324874815,25750015,321182967,680684322,955682927,843541486,182028144,107922181,47636715,341796080,45513841,302815099,36355394,712713822,701370719,352807009,700774041,905233453,638487824,911532897,517971230,872953480,921308437,982982005,776531143,474190503,43088286,412551959,368802629,36309682,229710761,144702026,938658384,628633524,920383389,865066326,532203240,606137057,894960906,919246588,867745108,923879770,242319513,770458751,13180868,292337249,176659055,520084501,76610005,713261948,839526049,155514881,508563360,312207938,162018983,855183560,569254126,754755923,354401235,838116346,11501774,82845720,40569320,259185330,115393513,976989495,688663259,547896661,517806175,25612725,151623069,206702501,631016,583331897,580997277,583173649,439601751,750444084,985129243,905412926,269250267,207357336,328274416,139838429,813709667,459760314,433753820,55753139,86528692,213024625,293626615,315727764,853229985,399742699,661376915,149067483,444882796,197645904,205763874,203911555,99564610,83596434,166535327,767600534,754522977,106179120,581856404,772218117,604580000,940405361,612527871,315820625,121579855,667994718,773533533,934519832,470573856,809185095,727197751,664200109,667966126,568241638,366402761,969205614,611560848,674932435,939552967,154635533,739018796,587145042,387213538,623870031,540600619,480883870,472239564,119512886,485751113,465729060,875799613,367429445,618743126,823526045,851578745,24966279,336537667,706587535,100644124,511687580,55041864,739147731,511900004,456560007,476119288,171682812,538788085,812092111,890059270,487165849,519653348,404251738,991993024,298163231,13381497,720080969,650325040,262952176,666754434,382435637,754939427,859797501,3450986,584323664,93691916,698351039,768349891,307321675,677943478,706077039,724232087,927738731,16772987,279273725,754684805,182606160,764848843,122908480,499211730,40802466,107681886,741904672,882371397,514803378,797344380,933811856,26564668,104651175,242030014,83236770,784424919,575237972,930578857,631767396,848374782,921659778,972315784,570781652,577633569,462384024,794851088,128977030,190581483,474880931,424281842,823813948,298952555,990725665,974467651,765595382,440134671,185983177,446427361,27309508,42427575,721696355,806267032,555999621,882005557,66739149,167435114,291548833,708426064,50254113,495410126,864452271,374188824,423252593,13478630,708240897,400557475,957431740,980121116,298823992,12715754,520059113,465973954,163236735,697502498,558408507,974758733,48775437,727192403,645678840,385235003,4207951,201844575,410265264,38808145,230631070,418263404,734327458,274573464,507337140,59195812,560444355,530405907,150827639,974122573,800590913,916647077,915043882,743159744,255592274,754635453,805630051,604867086,824290005,848504624,507036928,295335816,13075464,442877113,860859376,87571464,614756201,654874955,296647730,330317428,447546391,240841940,917561813,39173819,440759722,244996468,717476243,466941991,403374278,125721828,940646782,2771267,430724200,376718918,978286458,805966613,57854630,38049479,692375930,923782673,338706161,118681139,766826348,128473087,508762173,851605686,685537798,147998978,729549970,743430466,811639675,38343962,554472294,22726004,767828242,864193394,719256143,630941042,959712740,689829629,663169753,976055049,6411981,815423823,204891470,237672109,624638824,49599420,720906516,586385591,254910559,243134646,675505606,224133211,201074824,583450300,293973251,634072549,909213594,31834846,721084624,279255115,795854177,408689307,712224642,301988796,646828644,273980587,549302337,181452251,84209088,393820370,169258757,303406629,16455162,189793827,962956719,99809898,399686869,682760888,959456584,376595096,386259147,818977689,571880706,967509919,9656617,619565636,723549684,296643362,27420352,477568054,27089344,888877766,771513514,270130629,631841879,821827763,185624126,789911967,235495389,675842016,962561540,594122326,190983724,272786504,359522956,544568369,723653844,301123489,3391902,896822165,101298718,536834852,549503250,414864350,915714483,583152181,844846010,945325538,54586128,644373993,252721698,895257018,929928528,734049291,775646771,772024615,962299940,568833414,429493199,777363727,318995115,991833778,692953825,78976349,83414683,737220922,313088063,839929174,486229181,964817985,997726848,221343479,613378555,959857978,450609772,397908156,235967714,92472577,854739016,258304980,616745838,25880466,875469948,330189502,28826591,859265685,790738357,224374315,739738218,337179730,288180678,893340118,811428308,622431730,117824652,946880788,382804382,606376827,497608754,956924002,838066047,480642566,714152561,472277862,739425943,252447467,273352581,392550586,58224376,609684060,500159907,323085437,810700438,616341896,708982533,205952805,83331062,70657948,616037293,680140947,398473356,910187729,798032546,600491311,325653815,508399479,467867142,912958895,444034426,849132265,479952766,396496915,438210139,417497003,741157365,803810323,903206702,226830699,149982726,228117709,194449452,578703014,429991377,485166070,174825868,448943614,978208148,794867083,312466526,437486891,28311458,390678496,48228664,369564977,378345374,852652404,795472694,254888659,144819470,34369323,404746155,339194706,100927851,225232967,236658409,423613386,535929319,192879895,729641595,330148967,559264888,55894912,375104288,781557637,462469551,860493165,812339574,127895771,155940613,513655291,393318504,690107453,261634364,592713255,711861878,160649260,813977975,175912468,723070330,557493855,188881327,233128558,125474533,500415080,557308629,319609604,474177763,837350110,172979708,398082668,404351745,468023855,490711822,38343454,988659137,566835158,731272,766695012,267424833,762279229,813718573,330249710,561310467,876571540,937307434,414524789,786974281,411760156,220189502,136789914,503155886,832960191,224983246,958693440,524599075,309303236,240817695,231485602,632759283,286375247,136402647,868245926,598949857,703764031,204466344,916492378,619647369,862452972,454371519,949140036,123440022,907203233,668227278,38983703,705378483,969951223,602388147,526519302,908212021,795427138,817980840,463443714,505818963,462090219,248850929,741133280,675775151,149202457,143239349,598905135,484996092,740012040,551099100,107303203,924725390,810133601,848001608,78133944,26322065,53991450,529780998,667905129,970039245,93523710,379535003,5876898,406189218,449203011,320950531,929103054,183627995,99769333,934800582,334700784,27471546,77938819,46535936,825122086,614377828,186141636,47534246,273403255,44218599,681423515,264789443,3064615,43830200,56605810,883604893,131664995,716623405,368475922,5426467,400352212,626530554,68962489,229510199,839559131,206964191,752374097,88281032,470273306,45439378,182381244,720825652,224102665,656018600,635636013,578962224,894529710,602951739,109524293,349288325,852820523,42428779,174895477,51374278,34355106,348302841,307363202,654565237,381071563,700253349,900131394,967442270,414913975,771950568,895919754,980653220,243051796,463054314,665953075,36246411,571635471,558201816,820580371,667760903,154641347,526496824,967199048,104632726,248428786,595088034,792745355,694207644,703683847,906222321,507814418,906595848,387999273,900571310,803409716,773880246,184011301,836264779,499955776,985576274,333107565,676084677,674135091,772570395,408374905,275508793,305617304,861522963,702055899,722378068,611976171,491343584,260121637,474428243,330105481,521422361,742142579,823516794,652353637,869626328,208789711,847438720,447051327,813521769,852418908,513542334,264143133,193238074,54654192,680243099,373716007,423450202,559944961,803894440,675219104,391606617,472662037,663224946,375640733,430261901,211320864,467385581,176353451,37423859,312932050,987211136,9157107,319594892,674284823,555420943,406085594,479147402,640319199,33877880,104869875,151503512,261511789,332227328,971575061,755867218,740897546,695329503,777686686,51403991,809547864,97295649,922906706,84355001,551331579,119367586,414026994,787110250,912869903,864544987,939928507,752371653,198028251,644566825,771980719,209927646,214403972,517618356,262455691,153109485,58296204,29445130,431334037,261819495,483817487,997821726,439288691,739163690,785153624,14822718,673419645,132858461,62453309,968089536,446973541,648389267,175909639,288611205,489214345,519431658,145900904,374422233,882880598,314097660,416664690,250325906,528125713,166326716,851937978,160603319,558648765,863350058,770420257,172039634,823129588,710007646,470684721,152706641,817940668,816097882,987110869,838770813,755248205,871129880,18820740,978468898,726645574,642349358,851997630,408686983,512159673,893350340,649812065,16024266,383152854,807366359,615218061,913352489,805378678,487877416,560814107,640082931,495431516,445169104,392176732,617801549,754301660,298315708,172047688,823503324,835314555,884088720,421367188,951083413,593052397,834511216,365550764,178160990,327371451,746837717,856397456,327246272,835236442,535517058,914121780,75173977,274263202,84613571,511593408,935763643,107428494,922521935,164816618,606101327,292192137,227792576,763966161,194303471,503521334,499261841,835066359,194148119,862497261,455093970,758535475,902221198,552988804,478399231,53309053,516943296,703259378,919232382,211991799,874545470,865731441,53074040,634301707,991730556,457003668,177174071,508231093,167709623,473486979,717121079,314431483,406524119,221427728,774097775,289135519,928981930,354959726,629111898,6549975,473661063,773357804,883128488,293526028,156073374,742634066,983374633,866414214,247307807,363218232,983918068,204355314,498170262,443934632,803511404,861832078,537542732,813371190,407788028,237420215,727783100,154825308,582335448,506653594,889995134,167880264,725100292,965562894,801498579,118072072,264496833,373635698,696095649,629043988,574156958,391868374,512988166,45915440,221142488,523862530,605313700,517825558,675943229,152274550,685911566,933178661,419672491,722648236,184989042,457574862,153653922,143132572,991387932,522726436,910413066,542313842,520190702,152985418,915469167,142297084,781820943,924797930,758663857,875196332,609083412,388189497,810194585,717768058,693534644,618207629,724093256,901536385,40979282,140476513,127632923,272606120,135841948,226103164,719158742,173894328,233706243,685700586,520467486,344460919,556782103,814457290,313871123,888550392,52972389,685289306,106077904,872063740,391285557,155098026,708210851,668643249,944337699,568694869,733432898,844835456,17995809,640933571,969134202,669304948,721517771,433167790,551005980,575815134,249691602,134721295,386798245,809900613,614797499,241966765,189792897,557355666,806532323,607821845,387343922,930269446,852458235,661581917,603463451,879896500,166329090,275729413,294197253,542229112,658673704,221093689,888333459,562398850,5451401,241151352,492792559,147736873,764614603,119525946,468113895,466184936,640156584,802076899,847694056,662503555,776085372,891421757,372911721,296047394,507004215,805904603,583634042,625091600,583522877,615330592,217832278,519222541,562188134,531444810,236218943,639260940,657924790,468625106,764589559,226184259,164177544,720009731,536177125,969396005,717167361,992092704,765032020,802389634,222658996,589045842,691298071,391385768,436852464,872342688,907218667,921827908,360506443,279240396,949374180,537743143,846254666,400936289,253957913,343501212,237303948,82089102,421009645,917219255,120067291,364826286,950252697,475636923,721048051,170832861,893920528,495438126,506358244,55589003,103359522,653659436,968345975,865895845,353500729,386580519,875529667,810183697,560880374,600971835,897786723,477687077,529660234,808528715,453087890,272891436,658118778,513559751,293633124,740208614,571481302,702794359,886162107,972473326,165195313,58493315,990966743,624659366,149711529,486634870,481572836,863962881,138675525,823547020,249720633,153443669,220923211,184504025,87263341,756713992,983476516,575203042,952463354,572172373,131339992,573050262,373424239,710370975,114375477,451617721,388768300,726440950,908654551,662815480,572944434,211492224,822237838,392554576,340334946,679452258,73462167,942143327,414839314,131224886,945424518,779766171,403760238,2214362,813944075,850576058,12507756,408081119,554685939,301281716,134239486,330801678,574739707,161107119,573143265,864176582,458549617,882978541,123950067,381059128,49570501,575807917,17055734,376506640,828496312,949231089,290649114,467018781,519978158,422231000,497059672,785045186,390625348,233711533,579038522,567094679,406861317,655480287,452412403,561057296,814437886,557867252,600731889,233011908,706697881,714332380,39349059,870883921,725706493,279810377,754665531,217953784,10541414,615705449,234319913,933661788,185156819,167324028,20635379,595632650,495464884,670353875,690355235,459327104,909111005,235496122,932183553,803242997,323263639,30001235,125261239,83672877,349723341,952995996,551057720,356357924,285272045,869182211,7465746,417652268,540926088,349034040,54512142,290864543,313356144,500041373,429308799,350079905,921176892,926557438,235471797,387446772,2648570,314983629,164148259,776371215,977150873,1030862,226145358,255932901,699556602,988071018,128995796,620732011,682275013,486297118,31946855,846237275,365229878,100281530,953375758,810884725,878352241,461038433,959155394,611147623,558023822,866871160,914114780,677263116,463947179,737662093,488152025,263814168,683396794,587770410,930074291,398214959,902949011,166363681,557761866,83846570,840919204,92867890,685773184,580463657,354526631,972054683,875757982,878888169,550395596,316986065,719817097,986833114,605110575,490634088,836276639,902960667,264851516,599572082,760961260,799599764,444266472,153609009,769432782,287080547,490106168,290526795,283030118,994071285,153000607,803456951,651164157,838983627,356822746,421449130,200491667,653282079,874001000,407646262,35581162,575793348,100595303,111727961,523070604,583577187,646147114,231232692,668271826,416813341,442288808,185694120,855968201,468732441,765493459,400226183,728669770,700487471,432299704,875207926,919179912,939234185,256522497,59995355,71639188,39053533,705523318,604930838,664027023,157359387,588663870,634006349,545486437,183778137,297371343,494011502,529138908,313717789,362619608,360566710,908202470,499255329,102241499,122089882,513590344,381348023,703065747,951559121,32815574,819531192,951697386,232032233,893243559,219016734,532013202,476721528,667304609,611290020,136488407,627520922,196609868,269029408,530132081,159851947,13340766,331967331,176489577,462517845,500276202,657845482,784333986,333257364,370515898,952508089,232366841,354453767,268412933,582769746,257721448,567493382,176110931,839295192,454717413,983489137,986549876,280186698,9959805,88500864,97549703,409132066,935989479,255889591,30694673,247786677,661875363,57452946,361557531,690435069,36758805,682990854,338595068,997088689,724279216,755610582,360727203,961063451,335208127,953183773,992103621,465786495,28658946,202068086,487384017,330430138,866166914,962060973,161899848,820582720,991537534,818302904,965400843,134909247,387549460,780558894,818477519,495884687,609311032,926643028,443739688,640805269,361990098,990942805,57621359,674470850,875535602,792388177,151690439,858824872,808259021,573875328,945644136,873447580,325881202,579071608,277642919,16749947,679209259,326283542,273341900,690695009,78432125,24777153,566542593,706305131,542034302,59827022,696590866,573980724,300561509,604702157,250747894,993982733,311490687,850953648,987950135,953683821,210061811,900963678,114854407,598632130,822514178,745077812,998229246,978112508,345336580,115200508,667938798,306036219,628753262,312778972,994899683,697806457,48311313,286688615,33928900,783459381,334505751,723583974,411611505,740590376,387709424,768565345,61497762,138984998,327953993,74587524,614680168,328114243,602108550,839915595,167976053,815034407,51305363,652044383,968080,238403305,486937439,707026101,336431182,650809445,38706346,500087773,365441979,384891192,710812062,505124909,195149635,210746393,510476947,503380180,653665168,791933809,925511358,4409648,794661675,832332459,478041795,88409110,345812730,701018628,104666105,702443110,196034842,842449953,709536820,728652040,630903226,953673320,982127639,228444992,736460362,932077647,368029051,578474098,386854193,642649806,204408806,231954501,309155292,835526868,695787326,458736527,65432707,552805039,289046351,85702152,275336156,153988012,892342259,597568718,195414197,961307133,304763557,412828809,827471189,305623995,412640240,870733799,141608933,966115170,723308220,8000293,551131485,49894856,232685045,253966556,600282775,645965895,194679256,881914870,662391198,915805796,583242296,844476861,342755642,421052635,961944389,713862950,34888655,496726973,86543671,475730759,445266056,400912607,255154522,972714233,650641803,776697037,32999490,262027481,771537048,901933662,699915045,978317170,452711187,600608528,549396078,277656402,497078618,157417103,283367290,283323902,911366354,274210543,337341758,459863222,533216687,923401370,81361870,24244346,73404128,678368116,686498559,728470171,552727994,366364796,860148539,351918939,134536243,540860198,178322080,8528098,548873273,424224954,243715711,244216592,244859802,979686560,782168261,571599549,15499972,283486909,882989248,554937301,189412456,13792086,606128896,11438316,200202283,902788470,660188382,973960192,632503797,397735328,877404459,135569933,342127742,72465329,291158767,586963052,773583858,620188661,124823334,980923337,23313582,34213660,462179334,893985868,398703282,88112739,32044915,308785434,443918175,632899813,393325940,362578749,312193838,955504824,581291307,359276306,334963072,68949621,516632930,202272995,57479208,614385586,321105169,319981771,249038849,104395925,557845514,825205583,46060764,239209568,624157787,864470114,674587036,381839143,180811385,967011777,832427545,140069119,594781825,860778296,269975645,903329965,8383153,225941174,266978268,360153424,909367099,133274754,425784018,855207186,715822532,92773578,232035342,425236714,528550245,979653023,791539205,120961318,277689991,521911374,279444469,17329292,284050131,952641624,778960096,443921325,176526263,406927788,185685945,904159366,23511148,261294316,568701907,164934037,977654524,113229493,321415384,385665803,598013211,235204400,497657989,709347396,50932509,621433781,335535429,802052073,747893520,515734590,849275330,862549780,977226341,644646922,465284311,921765943,503240160,838554450,284965289,915447327,112535653,337285578,334425990,422855962,190395298,740831526,207095455,431415117,347706906,152726169,259460300,186981754,698316682,911225091,839675804,842930210,149676427,619211398,349705117,701615924,598936444,910959735,409719743,166341916,515239436,83471587,159988624,130067718,958327704,916167792,536000015,160878486,546335419,748509618,988339450,358953489,970491344,230239602,697367324,613570475,297005053,438754589,504449520,45881122,965887716,17812571,10706314,807961253,8286610,679455907,795172933,880181515,228730271,690211173,69395992,825985543,426447820,617951567,54864998,294953601,802359876,964711221,48935380,163591073,814156923,430270980,535208434,319448247,703444347,203003034,598944671,732243238,790991413,110577466,216654716,615713306,130379961,441240031,968401670,901474630,989263582,472424633,855126524,115779634,833429284,578545293,669735696,196214608,344463742,713152402,141653639,540263699,49847288,225356677,517038768,265272253,485826901,385698441,78637012,435881804,702624894,979740406,733794509,934777284,972637845,436987089,950248234,411297759,196212791,17600405,206974420,382835321,985273426,894998916,410039289,234515662,543900947,730578523,525320086,25140190,114647366,465384886,189219632,987876400,574067046,635994968,235334265,779810947,801243602,513249549,329824085,56620550,137498635,579771423,917493833,618147880,38889122,963450198,909449791,135717368,35481530,207625770,624038195,278210574,133453635,384780352,321958214,858518622,271100031,799452076,52812273,324024919,397548046,90868016,905654210,417914904,580314610,152805121,804977457,276400221,986405760,495284860,329672825,500427594,533910443,310510580,954581228,22128268,899111605,135886386,584272180,342427714,438270630,834972006,996449356,957783813,319785483,548033334,822946061,149635550,435988658,745005825,153493788,832982345,102829414,721904344,187075493,422623963,319594692,62523796,180719275,760473522,337574757,614929869,247428188,566076695,140247443,145048758,505717505,61509100,821301261,97268299,500352343,492861070,304003787,880642306,623874031,695842424,961882378,477549544,34112772,183445328,668032203,745335278,924289709,256113529,199957678,642698737,813485959,107702994,903956160,998695776,961384526,163595137,405757197,661150918,344456037,833053150,396163013,657909911,808566769,848554338,249874226,784060979,608425694,668774080,984648974,881861112,239526650,896291614,520636148,805118615,657449113,691588145,694112366,199531486,761811006,778417660,211198332,974113545,347810442,111139871,95576649,464491743,558415785,180291961,825672554,669697102,228690044,905894303,219063669,55986663,25056559,958103247,303144658,838836553,642974475,748491900,172211012,142338022,444921512,804350519,425437841,238438580,617339678,797012611,629465460,323067475,199762682,816683353,100588119,234112303,76194057,698308860,859391015,224501511,618707225,233736768,194603656,102627571,232157042,878682709,564235135,878015826,526805527,521261939,68523114,75187929,911497469,645165869,415148533,128549321,305951590,51960225,427311013,361054583,63719395,633645407,239047431,882818539,56349768,994297723,745974703,399801578,293370896,676108159,465190966,596886834,713181157,10395088,218116302,841684185,990154913,808931109,362646549,74181222,10486737,302103287,542520988,880575713,711364535,470873291,38823005,854676487,285101141,165021760,742309552,494214063,225523525,725572862,934243362,303982918,394321745,229629745,593065075,604021244,895997221,974691693,523928606,131257618,717861064,468941329,792625911,562719431,799837028,76047663,156999155,762634132,219114901,130900501,584640271,221527585,932627862,957582695,330362288,399045144,11410231,785946263,942657737,111245722,458782212,853014896,375210043,687172676,541574732,171982653,596966812,492934654,151476685,741560109,713236878,462118438,501365730,485062799,876316145,193373623,959302945,34419436,221784316,882463650,935811919,312118591,277339683,250402383,195713482,764111815,971537525,844977232,229106098,914708288,21722029,197327848,993117276,452556780,666012928,160383720,300596649,626560321,785483409,551575543,895297505,979944822,266306122,741910753,494625463,882223645,6334225,585917760,710628264,484465402,810450866,731210768,506336176,994599693,291989536,307566304,605198243,256973501,853240483,744536030,416528551,233978809,368761079,275686806,265928218,934007455,144843056,596278464,394677271,739986182,622087892,232153455,187232014,934347149,661801406,388989284,362740420,538143881,209566708,105736727,207797216,545344397,902236203,746977415,748829974,812120589,600900344,719117857,778830922,46662220,393343939,35157046,943955093,246201254,248657021,984484067,188951666,614027966,562224433,357425511,675077503,923073807,408053788,753418993,632177733,573954431,903812453,394580153,60000673,617323845,176190192,992106337,284698325,598400070,573791993,312934765,274016175,852406066,706844490,195703995,211847647,861419532,852538857,397093815,220838630,83917530,476581938,969164155,856222143,695231926,594688964,989821485,501506403,613120528,184914477,838614813,580972552,816048153,168984349,756310519,792810181,118611702,350314077,131009130,763116935,165367774,82917328,735574968,808157566,931132809,243761308,494434060,653726975,359579715,213963492,708855687,269185013,210217674,870503657,997368043,618407816,746739468,482316078,391552713,739135513,34919476,311576394,958711120,779875245,531523660,994460714,449243350,230105703,806790501,284878102,414780661,57912935,956052504,976670751,765212443,783596418,687476952,184686391,476460323,939840591,17725973,833462842,568880404,471850675,978752209,65146703,452583444,789300455,112612724,302167051,785136199,475714001,487125226,517419337,462969636,106039490,727366029,503144944,596550547,374061174,228824137,329481263,66791757,324949860,977387877,771218402,659499517,957598236,687356448,245115882,484488978,781381531,999443037,350003572,423313815,518943780,15223719,909807276,789481539,828477831,4748916,172347842,552759429,881118873,688619723,299942928,398178620,140943694,937783259,331005843,16065655,476036155,130518490,717744652,307632277,518218459,779426351,443655244,354922574,712444897,868620869,395797088,804495381,401484944,617508474,321532339,849073481,445906662,557438792,767583311,328428414,597408754,964439692,52287406,578667147,784546224,532297729,711732566,614508172,976555236,95100367,497919928,445795784,246541574,412713706,258177891,425696915,619037118,335074837,119704927,930657694,48683797,788501798,209402888,729326548,925636142,775323283,561443535,583534607,998020233,463067092,174501860,774078649,198866986,293304753,921084612,416045979,56597888,351477300,638245241,529249899,68092518,277381178,676580854,430481301,189049489,149722221,188751050,661652534,744678413,136230450,852320474,71682476,277948733,454107672,627575627,755780721,372243032,464697561,993140020,351065297,340884434,867408818,97428623,541239666,969215205,695917151,579113610,463504276,140542219,603349209,416874143,966801842,8430680,146336652,972654598,166718980,758533914,413227647,173562643,149613571,116490176,652074682,172285975,114701189,598706066,841981011,789341049,446779092,39873109,111814207,292417075,989340416,751179686,36751795,691397239,770885227,394900078,820751137,384235177,211112556,232777005,698014151,811716171,310244959,181875351,754255583,571560044,358691320,512749239,42132198,675239621,684509557,902882538,721390037,33385425,876135741,813089673,782765150,540148873,422345268,893691658,576869865,972252608,500510126,671598983,139123889,785838650,379374873,716035110,872044039,484066807,989612403,461694203,775602517,218838353,875792058,33867579,933397012,522608098,216309358,329121625,177106220,637802175,350247683,844547807,940709000,346048746,290250106,968866774,161597607,768195103,58505166,32900023,338375820,556421718,76248023,41995721,549987599,244399892,849274142,595939651,945344988,598166365,36333655,639618451,291657944,648687969,665108397,533410149,358540868,953573587,23654932,385598096,511558822,635878929,92669199,338239109,1968200,324219589,460225572,83797323,399477579,767484235,72943413,817172043,622088648,297014300,559777741,400733495,567381573,316822394,670337563,440849889,424316492,928735702,11135142,736166633,226935708,511299781,869028841,76386821,185044397,203840501,849568548,929061039,397506720,917668881,707705820,94020547,720205535,116343383,760546644,840650871,269058338,676549444,305519727,81283930,44599886,982109252,218523367,509773021,17601199,61019207,521169580,881984673,252756814,843069783,413969701,392919285,569085672,543023698,437063203,749546438,165615908,303223088,450476051,833393957,540585510,61751110,523868793,101540208,309965550,260885279,690068322,339324520,2536007,836162524,286481832,756299103,985098606,838212743,86172744,460877868,838240924,151361892,155831196,339316299,40126174,808510734,967054151,169759797,425259750,483503932,110076694,726671125,11128247,939467108,676770720,477989613,108746709,409692825,161429,704745446,576604155,396723152,740711235,208780959,189806806,781194653,357590757,245664726,663954754,884178372,673536581,439474818,241494156,590440258,730820555,849377991,610274520,739842370,188662207,21633954,21204918,792809071,597384884,838003,692051821,598490309,47527231,451166172,938191459,217038708,251302718,481610465,329366318,653318915,796758862,849401800,686450842,746104860,316156443,663285112,887850459,726480935,304684884,5431285,816906899,944450200,670917006,840235495,802749470,243580012,611425416,297842755,556869656,540460344,709202410,825864194,675565996,359272856,123476329,957035200,693068246,488097970,903303823,301254466,314710569,116813979,143217173,272431774,546425016,235212170,237041589,540300276,857060981,244519809,594112364,135694081,624672397,671242586,946244503,217417588,394206325,738586342,483831314,538678920,761561436,829886077,318196543,28441258,22892725,398618330,488330509,543754945,469429541,183368373,600609335,533858352,750778344,454506388,186053028,105116508,575705807,316543052,866457144,550971673,41457573,613620789,130218873,42906999,910509219,193371286,278807470,767361157,544724367,808389784,223473475,617692315,127298107,505910144,119555942,396017718,241902149,452030589,664170511,835375636,5513541,985440470,110319101,839615958,780039662,561723168,406757456,350268473,402673390,391760299,697270641,958172723,691445766,591664754,222846774,393388776,386115599,845012735,590631887,347372265,403591897,438651539,718809759,408020433,228864277,220005566,755297583,79600550,366284596,891886485,155579750,669716449,44149417,769506558,507560498,958712381,464654755,750087831,305855646,470848065,195552106,984948683,801677714,260747014,573689729,709479699,85813213,550855284,456965149,952099731,86512186,909783871,305367600,83653855,492305481,220339986,152701830,86356333,355688045,283283105,767971336,533444553,64357990,223762203,810452328,856772692,486580291,234022364,692126549,284846416,800407084,391491354,110493132,143435814,144206113,737927826,177289470,964069418,807199258,991796851,405130181,521394977,10153029,758766711,103840827,269458708,907505774,748754080,987909135,769253050,992326250,60170532,460228997,660674584,176256356,746301633,176785920,901243639,591262580,238791964,313854438,646426821,61372709,271183673,730764324,667940242,522893698,306922666,963518601,719497701,511238053,792973596,38210846,145681222,769285009,41849444,282654708,324751362,753566434,461756671,128695995,658178219,918668475,636977227,579322440,251035289,445169223,653629397,295710135,718166829,158844007,202285422,363560152,336454054,985228260,903149831,896421200,175351704,647920389,173554806,395527419,648818802,212496850,717363718,950166182,652157268,790567656,664001483,250664163,178536092,948246884,76465393,270358411,169216917,264446665,472146468,245619858,663044974,399884931,145578331,323066841,858890369,389188108,688795905,739539972,749979885,337257199,546083777,808484811,569201883,93622214,158285096,69122606,311875739,521644779,281459825,864180541,351157347,894274176,316359926,940220938,596129597,297379819,691929601,760956157,676716511,182710837,68190275,918780188,659917632,199005252,240220232,322435645,60073264,693518408,876301890,682197288,26525702,597810795,249008103,799015662,212174721,613600983,982652756,74473581,913959080,417073566,412100768,794764587,968414110,882387680,965950416,434210465,502366922,400518604,46008956,605045419,749202416,779167829,623461333,647555982,866099850,203150209,226388730,553301101,836619408,354950105,72680904,564618992,114834847,889854944,461902631,751635132,218525725,199142206,468790235,503333934,386376855,473897059,22606278,462696638,37664680,539687111,68636709,421314319,606814536,527095215,48625252,108377523,774100460,495874260,170541178,606459928,138271019,606178096,415725001,42289999,323923355,246465601,463433760,43349936,98175745,428112775,973600722,54320678,443004986,912001059,432491375,500500034,610850228,782112554,489838406,473916214,564607483,651542132,743811456,510511297,542074405,827372614,275679375,714174721,666667057,243794048,194083408,453344713,3186481,191456297,114111910,8901436,902632552,97360990,355433466,321409741,334218642,34768162,874679563,599562432,327839199,561162956,982319509,906074583,502930966,639065454,66663035,369531303,745264257,286417380,856383917,844245914,167700358,686897263,582914288,959409042,102406331,670852921,475068010,90124231,822852182,388649993,593832152,978151987,760788562,657416548,509857307,546382285,894172760,156584440,989943503,851726772,355572809,800343926,736372943,328615724,113805508,767260877,29632189,987799753,841442124,961461708,873364018,870206544,507765516,240113662,278797723,168568221,929135436,436994410,339597166,683260107,423436730,715493918,29801064,813279110,194229730,768976552,635954105,187889545,649005278,819470720,782283413,136367365,846819819,822523417,676850861,605927240,425342768,693387962,215659489,91308991,326614122,35993236,653025994,39294006,681029639,643265784,141946960,274299338,374683627,655964129,53438925,43216486,96469738,935152243,640430379,202171881,564622714,53391157,583468612,564276090,867590036,470349095,696328919,871808684,822474465,10247420,983933554,12137987,993119653,745849596,205495845,348075851,501848456,579259063,39662520,158352555,785474152,27696700,332332066,398529123,350801354,375228051,438337853,379875833,74833051,826022928,830062858,250082452,366130797,333360242,904880266,314254371,93324061,180094465,881972601,667110101,865823739,618712528,908519795,152878769,54073080,820372262,166947144,425674162,704792001,596270524,134581294,519749734,381556435,322555407,639679156,630392817,251095722,809173544,911111797,527533502,197735671,97364901,6143952,378847016,598383936,826734937,61404480,736842472,188253236,261007009,712428649,221046394,933276184,65311264,270984916,144918227,953597411,715522938,944071606,207503820,355282974,203552759,699820562,436965322,766789006,214318436,418128416,729096956,552561546,38929059,845580904,583709418,250384331,683849708,62348429,798590697,4670685,591916337,67155108,555407878,694019357,907006372,844231432,33213593,826535175,823021636,519560095,951073944,739013562,184042498,113875005,255626099,267520754,318529875,462363525,558653472,139137281,966249478,480578571,395269159,454410974,411777165,232625548,150053061,700459784,216743798,956446203,58589393,729939378,907810110,182352455,474873731,292261258,627610774,870998040,68993090,812373918,208252523,1462802,886272994,578445219,445142556,356133043,721200673,696651197,478465676,100157201,192267884,730178374,157043646,518610253,710262822,310566485,58218031,517133682,620081754,379987514,921332226,885964726,426470265,305758900,953921383,672159126,629466289,907582591,491056826,872032101,390539114,776851092,474722564,982071829,873176795,643172955,465546526,213552732,512597633,927367174,155500029,989512396,595709292,403012782,182461896,535383087,101330504,40560197,71413773,84286873,886863395,719306966,835555835,607672717,111020325,173075978,917615181,85777874,366661477,390183771,730090322,803114421,697194701,134660112,405808910,168181595,250941569,166335089,664542136,136683298,970811053,520909604,854109579,197117053,838977026,813323178,285216868,592390147,396839261,468768647,335633385,815932334,771959530,911012089,855090098,237361326,906984036,890747369,862860007,385000335,749551593,144128209,693424168,343418343,947736626,757132713,795766995,240207773,770537517,336061826,28843243,498408247,312723364,73094130,826671366,990680311,148679413,343989786,548239600,101227779,768800513,288373497,644575924,162101554,690766879,336415725,193261721,608855925,212105816,539787258,117260041,823498865,308298318,842853951,932270762,434073915,11806936,800538444,397541198,235101348,586987999,300648795,931643204,940019881,736295324,803492521,13444041,118760167,296549620,832491841,925796429,995655514,79153792,91576135,453639024,751367548,929530299,696923392,258691256,650482476,450970111,506893987,407063922,886320217,462254032,425601504,765670266,739054002,415210863,84618837,994132003,392498747,924277851,368659679,892345370,844697374,501570416,82230036,122450583,695284737,642298762,496384781,658667253,248123296,377339701,766232423,268426645,651376096,250682373,143050214,96814932,857737218,974274506,797516365,484011918,259721501,267384060,501104478,201105573,484971205,671204930,25631703,865434490,738334545,673098877,883269559,575235436,439186722,325136987,625333751,716290796,192576972,562520268,104334510,126041472,814745627,883553365,778006804,845837255,847775280,398674356,576000096,280477878,539015963,456166735,99386071,705359096,784806774,996771230,302418112,596607932,450537959,802945012,496112740,193698235,178509021,926661593,404145477,794128852,426552958,943003584,441213367,508991477,183153542,798429200,547707004,291871557,146229116,339500331,870409554,44825864,782737645,992115859,983853501,378366774,126060004,502530551,410584054,736167388,878335839,140190021,599630565,958589494,176081815,233543648,703427482,851077133,533270426,572709956,369964648,747354837,733856411,161111097,645478535,841761031,572422458,896429025,673317578,117459974,487071495,892723364,672910687,995895271,810130950,767425784,939308310,762908395,126537753,829215166,424102144,471153582,608370445,703104229,206132265,545780814,2796834,187130270,667673201,367411375,792999065,951187149,970861953,565922876,957834689,722980043,60161992,845510673,201245573,89012483,555372967,166682261,271818650,966875233,871801498,431872389,632149895,241655358,735589394,318387988,434979895,333559128,873751675,235319292,709128644,382387768,970494639,151466850,390402311,74811321,302859390,918968723,542509286,408269165,432576277,299348486,965340232,945063776,776904042,314814357,917537217,445226053,361690019,377854611,806438813,874356011,953408592,88758728,629721394,394560786,467327936,978591162,625189536,84483516,625765117,320081860,55459587,481004160,182883637,697078908,455207330,297193843,908466859,180042859,891381601,474646235,822804297,902589720,430815497,764848479,26075048,517571004,857293532,950364011,543570376,497956348,287840258,46407443,323241241,167499937,626120819,275790081,283275808,990213455,509150790,950317751,582775954,623727075,243781058,935120728,319461014,845484719,943580950,136505467,140991699,863177744,385813298,952788056,365289916,752343863,531845344,379702328,884056060,23981423,999573993,28561136,617221273,678371576,368125140,734782184,549020851,187150746,839029028,225603459,868042164,935844717,599650410,647290056,324236734,817906739,141316591,88764454,101591548,40209308,666924417,910129813,812234058,345891800,130302855,654126196,693355571,778968941,872322011,449346707,227619445,116339776,536960818,825573405,141979913,793990758,73629194,425304557,755327124,880296659,462748754,164926548,9361391,846731182,634305279,195342500,653982201,152399071,725829319,102725646,779809543,569692954,753792875,749250577,140447952,484077933,971334335,108026300,568415611,825623100,175344578,512518839,613395639,125910018,444380637,772803195,574240869,440931800,778183222,316832677,546355408,572386009,120387577,332579685,314434990,771095260,691989790,166788753,618493741,94787043,535294483,134014637,63135069,573694892,993253034,756149954,890921510,747382767,220740219,70331102,448492709,128317721,656152344,274077342,188473908,871453827,945610115,789688342,609795213,283398208,980704757,232881411,615546559,441828414,858067773,905437065,949516905,814364405,64920716,189705642,30473638,277876935,319332043,908735102,22304275,35414842,588613415,468919456,701931309,361552819,116587596,804355479,644629337,458577604,409287006,317347166,107964507,748673668,503393422,799914420,457321105,11964948,819876582,516938402,155329154,153523346,320507364,512086134,647534999,870225804,953312735,792736853,585450092,573324524,504264838,944363572,791335959,980812765,653508220,19780945,601844626,51810991,454887031,156216758,158578915,164507871,455462420,868225095,525263462,857664008,536319681,937116595,607766166,555805768,741721519,432722554,76416192,459042702,268869898,368859267,518800977,803028566,946183403,664274029,986174087,378015499,563181951,314884474,16704275,234822475,122640601,435492063,217836461,392364179,477934791,286509734,699541673,143435145,574740945,632999480,599243982,539537864,285584280,241321950,850680887,99822252,997008170,340053751,44841560,120445549,747390411,612142224,306863536,271866773,4279523,786506700,104778935,550809450,259291966,771566343,794959554,834502131,141352047,659784828,683953636,518986060,511554741,493606043,163779078,773261369,343282959,23040400,340085981,839972836,297381677,536951838,353572825,416762909,393487177,795382144,759241069,649753264,435041754,816641707,460444709,747996722,680123046,543020478,949293494,686692738,692848656,152511843,851367726,834837008,148696234,703227859,446736724,285327443,311612749,770022775,92171284,468972874,614757249,965618081,442273032,779796203,725221300,829474811,822329157,638885601,249094144,866393753,501542622,544326778,833374080,558102947,806000249,155187883,628860967,672321290,460096696,73698378,7609235,398681639,650129125,559125644,429643918,946654182,297389479,162982966,545386539,320066077,607903064,800667396,433348977,975444296,894944829,641544745,264327659,829688217,449088405,525696858,881923008,682682314,772670330,632257526,544151439,680748951,314168151,218980153,250359,725506909,330060892,365560805,7570396,113793202,700329762,640334633,177002449,340193573,245509781,831988077,226270173,100113585,973495055,452955372,719750472,596764799,286080670,132975382,848017770,763241118,106167406,80069461,275409312,138227937,127959675,52489594,77425962,359147853,490272267,692741955,260222264,976469822,154336131,730617779,111351429,813190014,3818031,22270227,921464503,601288662,477458257,12055801,306931187,331144732,906559065,90984380,975003679,369678981,11489379,859964362,625071750,249614149,915046031,348954827,363727948,579779793,493581796,948567040,265371504,154729605,387808411,828796810,581718364,327614067,710508897,782332160,155538252,976389310,928893857,34746898,293679122,448638550,829414294,794870870,549938955,589479191,740374868,376448556,81879798,326071974,963294609,637429938,847038364,69703514,853193074,278658240,713777245,344786130,600289795,69302356,649051643,918713653,674426680,571187767,506003956,383455497,92965884,793227045,728442281,762841203,818406435,746501933,653090944,789798178,449664138,916927573,732498028,824414298,199492636,798758454,294594632,431349221,102168853,513516416,191476263,210400567,256052903,816165162,853409622,928799826,994918325,932553146,555309709,752418717,349456191,824199850,217706720,763624030,565002191,75969580,574427774,978865287,567191805,408960864,482004040,110685283,432271847,557668078,824224432,18648175,10364359,964873152,186303998,855902190,180753696,557619158,218770707,110855367,215938652,315449814,330333255,610724021,736004060,644963692,455765239,479242282,132436626,834518337,560627114,181236259,725732205,822876330,202481807,945303569,637213095,968758262,624037207,996252948,814471981,993950132,848328985,88621655,674533178,509213230,408182794,489403380,855274501,433822427,316910125,834253047,783788744,983682609,562627094,664776664,29300829,298515518,94249560,861406458,765718952,460741726,38478667,789221932,499806861,187072569,50533955,218763282,242244907,447699842,247651345,455887629,81445289,69440507,345050016,661703186,420269540,28486810,899255912,964521444,753835929,785643732,676846047,792056985,547386165,764590656,906296127,186742188,766974237,451266309,153295625,143052523,330870232,308403090,219314918,797942132,177333740,798291908,687113329,986363035,106003676,91292166,478132781,59185106,665272528,382825735,815080387,42614377,670164987,26673845,254627834,126189754,638141412,497019130,314237757,289495368,715947466,371238411,7712945,117291204,799004181,491068825,571243388,78395140,245840863,975682698,783797669,874671231,60644705,383135238,245307795,599721489,768368921,427804442,977707058,721684026,501471154,452073492,526721976,434178626,954201161,858516051,557698322,672754934,787250561,54294394,323760529,973072222,874481693,617919028,25619748,257854483,716977858,975390957,648611819,792912088,84268966,99675491,395744592,324574014,705929169,730770477,456168081,239013564,112971413,408453987,528737752,986748237,783830279,444790318,189958744,640940618,98089799,248482809,490543308,94547776,428055548,988840089,566655153,691098228,680052681,374524429,351439019,280642707,45258087,925672261,883517522,730956688,406335493,428668327,328122645,440108814,833232513,347965985,951214961,246576132,487135476,897335554,145826579,4153090,120348453,520506407,515789724,239270928,766863208,433573730,735781430,663190755,687435807,281340660,307350535,22807841,998543632,27678536,400573950,139758604,841031690,72083718,355204718,731558862,80232386,764216166,378226759,6590466,122577154,520707179,675228003,853419648,906300791,206639514,251667329,872665542,251023013,81222771,694960433,863374689,802359235,367993107,640518336,73138984,246668022,450527982,705011681,220937348,591834622,672487494,189477688,399071972,922982397,72039682,720248062,822781804,383709297,910025432,529839663,488370958,662172394,751075197,593328987,517816533,248879161,838734853,628645670,730786537,905632059,398310529,957844463,722680819,123468267,196576455,801306672,227115055,813551158,570937279,632863735,617777033,594655585,500783104,928642093,266920967,822959292,16929881,821819524,510255305,38417798,606281844,943236692,824901300,154313914,597999642,172015391,413900566,324883491,208807703,926319416,148127959,483561730,258127069,425788563,954949545,565596283,159900286,593150465,80157665,435073345,617655458,400406327,150047010,895166013,979817919,16229942,25267872,605644018,250097234,466404922,723175020,243833686,635163298,418155738,936195886,682870098,613331213,44855373,225442293,935853134,765005793,616399381,138150741,168602641,311468523,160425349,585114807,314999581,615413171,699315554,273595672,782374020,731329388,27571834,263501243,235809533,18319048,84337407,646403120,70853526,152629256,395829989,126637532,95852831,613452484,366311003,556033697,161818222,500297330,323632654,38791842,163857061,307890520,795238172,408691296,908105130,390436065,273367170,149080851,832557043,490600497,888851427,814516515,486774766,526423285,17648515,428683307,219929549,176261595,712330270,101128825,17395307,616476515,105186333,822195301,633190682,97825498,297906695,41255667,863388094,485453900,705880444,517933085,9496792,606366884,21264073,342317826,894785865,70646775,894789376,602136402,623393174,737339635,237810328,798572845,661346178,619571380,782295742,534169457,814768557,976459095,938042590,637575226,998561150,38733597,603446004,128048862,102691584,88186388,607725678,601645764,627183143,809918753,9019218,30700310,79866920,272325602,410772466,621411835,591638797,974633922,93713353,939400650,443690755,63675484,472567819,521139099,152419538,524715632,191438956,890859059,6776185,410514620,634064515,461037548,153177353,71715029,596828341,299799933,351940389,485048407,73381106,399962708,533549030,486255852,234047647,177904353,733534195,902062469,51387293,338709975,55086399,429933177,42008961,718442739,710363516,701401527,870290139,230927094,218726850,267847101,542710036,619333613,520163519,596540243,95910354,227987541,246514176,342616342,414536786,174731113,13166335,595463336,474574065,741628842,853984814,191427497,355033646,832172400,485220046,582881830,189251335,155405597,197624559,219672220,357672047,477103121,30599531,193885334,621544420,888666534,460978028,611775697,522227088,221600539,447657224,327741726,4681497,864291818,792345197,370889184,3088514,184696579,205959930,265559999,577302387,807543710,391756066,576828242,72987057,989920511,314386016,152062047,594009914,115608194,456930663,154582844,119404200,113371582,724063568,91833821,258794394,732793783,779727530,458586870,910348859,315750027,220339839,633017744,724304452,69037982,583033272,543073665,468716946,81589049,573295824,236836322,507657707,337665054,118688975,829969275,753055263,498802642,199171788,549863309,254384291,153530620,418789160,927313984,238331378,424935219,902316678,495222809,229471851,378026205,464217119,801581009,130479389,767157009,774403995,637281114,493257789,204871255,301915766,677889777,748407210,811275181,70395693,670233365,36237643,43601191,735804133,544535916,844762402,986068938,139938271,133994273,70957955,87815522,944270058,65628194,602793543,411346059,477739472,262570885,149034197,768689248,477286635,246924545,758606531,614265782,172834893,203902236,530807736,710516721,614376769,513669671,564838564,948384349,576197673,756807006,203467953,482131019,410651561,8075234,542435180,861894166,354921318,849911051,374965441,656504971,673398195,321603851,508559559,666425310,139473879,725260578,646527600,71559376,485798556,494517224,70570882,881080110,145830712,45584510,760141449,58086270,989161278,91913872,455414313,607947484,443697201,473253286,190792892,539988137,272312561,120213283,667039206,252227644,454622880,230093467,670861284,335977983,606867754,942341353,119138127,275792218,872423222,256767769,688869188,412830432,666061505,34056885,486508402,304245646,520425309,297965032,902342160,279750017,414268144,373504707,352536494,897795358,421593790,497149101,457245073,311106536,209627416,974667934,857451410,518944075,704347711,686308345,452117020,630884991,697920509,889413515,86325168,311152926,12944262,903718354,373581411,907056144,224419446,571503820,416816088,500105118,524915246,860498701,637806023,842035640,150885990,845814940,133191617,975576855,140279040,82681598,55666894,899066753,84925764,813390881,653654736,383555701,243973356,785888732,898368549,676698366,409545517,127776642,170942373,110613328,907575394,57725516,578796935,898879104,719387965,848199954,810694395,485586935,194697880,103261032,388608624,212448228,758319212,320238790,207418497,116782895,712535663,608991064,785525144,640712525,290880051,204774784,745379105,946507383,897881131,95134397,839869677,199605242,831197201,952372187,758287260,164261043,462119008,917235640,801565288,479658551,291295002,841441181,77370219,80451679,820806338,928390924,605768067,956162233,472247286,88726465,113520311,584596704,285164432,158223781,371161392,583068369,96203622,344386584,493822891,980160473,207899488,676897580,981979477,110359846,354663452,795504923,583125272,581970434,148533286,988869933,430275343,924061921,79353698,708120443,34428812,40783187,758991760,873834321,824270967,435256467,115677896,89558488,917227465,993511910,654309058,682174716,594488997,131607160,950561348,527327559,149032197,2722355,512817369,897582713,536888657,768280450,736861636,851400453,668458582,742990947,450713365,690386373,560704577,761497608,98764977,967549766,691733464,11369445,956105927,633021371,842789701,615377050,337044466,10340756,951254477,446625120,534348725,244816494,589392264,778821682,47972684,936991886,131451834,959074307,897009421,636348630,45787785,796612757,420498906,621931126,939646302,945877640,704013299,836059618,157902250,12137207,917175178,645928709,689195401,749082265,830288681,210856714,21876957,773711408,2160241,582583932,576772702,312088390,717371973,250569050,87009367,415718718,689396212,78261207,586827105,691946546,460254495,969657205,827075437,523426374,830150103,677574592,746880962,133790703,500979678,243682379,68807879,276258182,282271171,145450917,461967913,410782807,9997560,759041342,451813440,418333589,329220693,370380393,665109197,457808869,828104299,974490211,29049982,329288650,395289146,392539004,174502709,577613442,895109517,75277104,297907604,130809399,340628735,437101900,619523178,712921322,815166196,321130095,668107469,216326609,857094090,575685758,747966894,539800968,70190863,511042315,147078166,455830025,27134580,907253912,764659204,571286601,318663285,315301684,171722844,398651801,260985793,434898432,916090203,909161211,594754113,620026481,241919805,622058598,671332560,360924856,328204549,840070920,862153014,970563959,858278262,873267813,718861951,417000171,887921966,456637430,948217321,734977215,525207712,244170579,396813836,34742954,500523373,847983383,85164499,940979703,584348100,822897974,707251941,704031467,974411837,44515729,445208519,422971647,338291197,809369816,942266851,771209737,111984565,773787912,67870169,58724598,691861919,235108551,772555639,138875457,230002801,925306119,309320776,402847394,176931448,403379594,999075680,514530717,528489616,763515118,297519964,476860890,267976428,973237854,671161092,120302790,128300636,162891793,873091755,553782187,32923232,365872215,435257964,504098887,945516462,190992407,296729058,350414400,303132348,932166574,53207399,969965802,382237064,244346859,359648425,41797209,934790097,261443606,484209773,771447287,989781717,726556473,999104715,438710144,321829015,406220601,648721877,254237969,65014417,7415832,939850242,613061069,907366704,616698690,600726324,844645737,886477842,863229716,254598129,99040456,723959456,922624637,147799631,484665906,356550204,983563017,758122872,866198363,375809858,556139810,834491346,410248745,931403479,490467639,554659450,897856179,739214920,161500438,283151294,892067565,131783173,604190423,891836579,650389206,349474614,359297948,467261265,839275372,951096686,3618722,978909775,700723532,892681586,340320558,365491991,220058940,666772318,39511707,750257253,668850299,32913987,975794017,922629816,349520006,701146330,315372714,118661482,907868479,747236776,47913721,747499008,425394755,924349351,973040113,412260701,312818803,158073712,208107491,328555737,325407118,836910890,895921453,549993768,373119081,726802565,490589828,758064638,779431824,850848033,446942668,202185650,334450820,745591594,167343711,114800147,792606757,408362842,8275247,753731054,422438491,381891911,400984128,524481208,57773056,683163894,571479950,235112092,152127344,97092228,439909624,333760915,977902177,861867260,666752643,942837155,738359525,523645912,391600118,444799705,445698445,634914783,220027628,708584818,160975257,484872522,321462316,433918545,773258017,964607727,174660043,570120687,653935897,244346789,355714095,783655287,110402401,743463181,783110991,102109035,803604025,55598292,252075884,387655319,431384653,795830605,18371316,561401438,721974197,114951709,307683925,272091573,923769490,473232910,529901166,962744357,208041383,772820073,38924308,416999242,317930293,368798422,661204508,71615221,440506677,28658788,582591679,295708085,79872400,453580063,674704917,752482745,936620702,763009656,150904461,316884143,65003366,17757695,883204543,870548686,210816309,68159514,941087745,943784067,508947193,822170877,95224195,473499561,763563129,123621955,691346549,147905724,750579535,326704800,108508276,598368341,159872989,819389483,582005783,365930006,231482203,774918057,188782617,972744542,542985121,980578995,106753758,230408583,450315597,734005159,824775738,664240161,919813251,870439061,131546678,717594900,393935891,323152376,951206089,342153812,564440003,305242461,681717990,508319647,43248030,357762160,392296333,658524714,310008709,899819862,759846170,174734585,945980858,614667479,692441556,492486077,741100596,87423365,920010658,191932439,319112111,744253714,233566239,371466185,833059978,837786401,213001560,890978300,602925497,537077284,318169276,703638730,113388369,327031614,109616158,518763281,996938235,541672322,892108842,530623004,287427600,91136705,322843887,932443835,896854247,553968266,574014113,200506112,31368682,203384892,914462254,461288372,661680098,557388811,331052462,195184116,604472224,292709557,256938315,331300418,544890368,887095271,439087278,568073466,973742352,126514013,591989927,295182847,246378620,824495449,384896537,282204798,711054013,815652987,182740342,537606479,204652739,109295182,685626696,428968117,314993047,997881891,935030561,441057273,4353999,986116423,436237489,994008535,765275720,152583328,973121224,861895335,679716567,267568710,826367153,498133032,104824745,809900454,604052174,647251685,469978089,343636177,993938230,277103936,755134612,194765050,522870822,9525929,453305080,705532921,788485133,654223745,240893473,433368860,396151139,876287545,942016004,394400976,183139770,753439935,16482884,74153928,105673088,131274640,931694829,536944066,531676448,525433121,538687978,302733709,385252157,655585847,349116304,640856465,714351334,180059136,229734664,875477147,469158939,334520211,706095306,576960779,612414569,706412438,782438352,893949503,49116056,550270449,167631187,697446117,559953143,724260299,206241044,465177151,570167383,315518577,996344793,520403556,557066833,98848892,321195504,971639911,934958853,393689587,387592688,956746161,734055765,449070542,406847364,422924355,39836533,388598133,293266517,335387816,728694242,47830415,452991846,638177062,886640939,202323072,489195779,472310824,47825640,408019857,211507981,889089313,892640149,624189735,437064264,352937136,853713602,6067973,785197831,773881007,867265480,4956879,596633406,780207028,748228620,898302151,460979363,228769532,90321207,37352606,8960766,176494791,213376174,23814436,229889863,512672198,437684568,252998119,113051724,122697921,897395992,261421594,357358272,508851149,388019548,752197510,927176796,147305254,504013831,299110426,855718982,174679512,948426736,308682504,758088227,388759491,39233858,870257119,631716892,875762971,961337489,275336469,567491037,70837343,423185407,808657161,283442286,188018029,531029166,616706714,19525019,901426336,650671043,159072103,578395691,913972117,713326385,424410997,442579801,444632696,612580972,547212086,935533347,708473952,227550807,185371338,390550725,885709273,162554710,236329027,737727317,292515306,754737813,576986482,368191796,674146645,629861908,221241874,419138508,865992131,470210619,388968498,117441066,663599400,440054224,317997809,847999017,60996199,872942093,758308133,939793521,841522295,975926622,357940627,142623708,596234994,18583713,463502293,356463841,432022553,662876960,499701618,842266814,77325287,976888172,35662175,384624082,54677330,896748893,812531415,304982948,299773502,180910260,84737821,266748056,351269052,258959313,269077203,516661597,675065566,941948350,845239224,706257059,389346998,373900824,143552267,916697086,965307886,514298947,672208212,644662089,556539008,974107352,213882084,19516788,104788722,935197979,655462594,861656211,46853438,462526007,40434493,187907463,792235940,268196122,221134340,303619783,107932346,562464196,394815099,962935155,487984872,640006630,378786662,304058729,987348000,380627871,173849265,878860841,771259305,908390158,994368444,356609090,808012215,805162786,244571652,574003351,471362130,770732387,851832213,492118381,396068109,645269811,953974643,433427989,403252528,363297296,144538220,573166509,772899924,318677830,562559350,28648918,924578676,570448645,192628492,489192013,709865314,331441340,131879515,25536171,713295258,659947021,615369000,554292120,18751696,472882353,271534333,265268256,58458586,105392515,694419840,832379790,903173330,272584733,121136076,971535805,608776376,631015627,738969536,151669569,481186921,974608718,536103525,113424074,352035245,572293276,622977803,612798337,913667652,896074838,900986348,10057748,425048234,831569974,164931289,869332833,390461801,119287882,948612153,835054941,64873963,687448147,624228437,644532673,402947762,906052358,346258454,243148458,793263317,841958256,116453136,121191887,140556429,4369793,886273109,354040573,568974011,189182379,159605555,703511977,9931825,292307826,813415209,568236278,873330311,414456726,898411775,320026589,655576635,330224625,379642089,124549144,566740044,424176299,451978714,899312974,147693843,11293260,903161519,54329462,97761597,910290025,488269707,974943903,654561394,66789580,185836296,671685132,202424624,98712859,656528823,349734464,616762264,348232843,113961305,699801092,176099971,963153669,287175030,624479822,989632914,77246486,660526733,400321950,440471877,118187333,17093199,358701044,305134918,482666284,656700235,257202705,61749441,684565902,853324820,952924805,759079919,447728929,704796880,138347922,128442580,848513077,181842935,936335087,134225379,304807785,802256003,604343865,968659146,801616700,787992113,425994249,933219240,830613508,384577294,219398608,663274838,367959059,751585434,374451877,711650619,380979143,796039877,261936184,849421496,561652520,146515690,18966445,898417520,953464208,378947621,202188167,888873533,504328276,843880531,795814922,494802316,524341068,870423704,432494876,842614832,443855379,306557581,528800162,732194326,887304987,332627822,233189462,504981122,51043141,370655737,760647539,654183225,543312427,436562325,678034729,490818356,304272740,594795867,952458368,463662700,410880627,844398133,891532866,149505404,819410272,280422395,119417016,786445639,409925014,814498446,506342168,896590252,156561716,718291297,768622089,474118039,731459452,843034720,290700353,629020904,613879173,710953464,256823005,388590875,559425222,582365718,622038039,508872286,790380106,539376522,234445354,355752633,574341270,792483628,74469735,969077063,802599764,565480416,272038720,438083990,669040030,380589503,41209055,886071850,432083638,22727062,845724656,643704692,844898512,384220220,285447924,4581843,737871565,646129020,383525703,96912955,860501922,504658773,72470098,73121062,907485123,537352080,136447333,45796825,377346461,496868167,339949169,616379205,973383965,292405637,252247048,374986262,514647041,399905614,358416417,765942818,943953522,4498282,741498589,747136108,786765548,111312900,954793679,185355380,370175835,587557473,978160583,888214355,991614966,121732191,557029992,976594545,658421606,207983658,159822950,734973550,370256822,628924226,157495767,828427629,745894413,671258756,75945124,695212356,533366192,869140298,826855139,378475419,238501410,478038807,4994280,53132738,284723855,726357016,32025022,424450753,749368249,275261145,62201615,319919194,400241431,670589381,663528021,978605192,847423944,231328792,487460855,116972207,216081711,560612657,750648123,511879252,478800767,245837621,443807583,558051246,403293063,677078556,568598802,795677368,250736866,767634841,844340540,516489996,657385413,904593322,572775206,317272459,525961366,384875101,26942995,380425300,926918615,260054523,29307227,902738656,677701701,495538256,456393878,882205921,762758406,33086750,600257622,160741517,267120963,452037721,961995150,490012313,231610223,662918837,388870725,539804678,838374663,102637032,178519889,304645570,304811942,718473640,936119820,402905607,772924031,92172179,965284760,289628208,360104078,580074665,29769301,831118407,825456384,506597333,862822554,622079035,478571775,739483512,720483455,388219479,177790139,579345556,382665303,551567275,89669640,162407259,384436686,462628460,486745427,369067462,563926906,501939065,960127551,444901733,403088373,678464889,319988631,569898486,913165351,478794965,262898915,774209864,480797472,914837248,65985007,45334999,843201860,28801187,287147857,957408941,682861006,584734396,403167998,984362890,500257721,856594256,528244865,707771667,980330473,895780067,259593816,838878176,370105724,288103794,191702596,494661117,20984306,568021285,965006156,181689451,935848212,132594204,922827728,69205709,288507984,513473106,486202606,454899819,26712989,453310031,581797927,411141410,846737280,116186094,326106936,809216551,7904790,979453540,623208614,276850322,601119332,906540098,326844237,753465612,552654419,986772339,19625893,706199313,415911701,788213185,308397603,988533951,431347944,412465514,782755244,603663614,476126821,61695130,981233142,77947254,274331433,52418929,904936134,501957264,681624643,235282521,804211255,917569771,404213800,87393984,499260173,151875047,725077696,597278976,361567274,803133059,805938421,34131400,980010717,658453079,921693223,757242902,124392504,887449541,997215094,503504879,712282694,167788940,385176814,148560816,460435999,17770685,638683699,894985418,202167138,166771798,90833795,324801899,135810230,534063419,528883442,5418578,297833925,866775619,40397360,960978892,592548338,847356886,1555518,870467780,568670938,21484019,767019123,831880808,419743778,401709780,585321209,602328741,239667686,678774414,871766697,982157094,723025623,185987815,16794967,231875470,19535012,29551196,78683048,952378376,650248590,340006463,561579805,725312193,609386139,330947161,353651511,988732394,634512269,766168487,928516329,301920883,638821212,869863,253725908,550236729,536538077,666068409,162734673,479617393,894192806,857434344,225065026,805479574,280448059,249020295,985982865,242963396,629803986,801767321,548320256,869596227,796054547,42785693,299133898,119564049,918500916,785582245,876392600,513419541,629987577,251957943,4203079,103642626,567342608,207104062,433467317,647245271,556792645,135781044,518632861,915596580,151352267,326013750,908295636,582827035,843619929,675474129,98637462,807432072,662029376,864930166,896162238,506280992,710334662,942790440,517929066,565707417,351745282,73574527,895905491,60747584,445719563,627423167,121106616,601970108,336438994,511046097,108210676,481577641,668988150,683466633,100891880,166829156,869555218,633687078,535882477,548901998,189831315,190574456,321445186,33051332,774725834,40336098,77230220,902162081,23629649,715456076,225491767,99325036,515950352,182539137,200681118,863600358,755525690,843693099,180067637,880038208,57447722,807816398,559277845,651917444,831644488,461353630,384181062,790869964,994573122,388242985,547327588,708897084,837304021,180783056,949935527,368448583,890780377,199950205,110880794,585301377,955743462,574937080,118264911,821939593,507112373,997364290,39638195,205248970,119094607,965322868,914759182,785746383,345804065,226535253,41039728,527762043,935716369,358605920,815122306,445216435,46016383,693444718,350551322,674944064,75971740,696828850,157531252,482801380,54318649,771995061,823650335,46647383,205195520,221932471,901025882,940460722,600110429,213010087,901901108,476422036,933212644,851278444,622715957,885498355,404570115,888745486,302993661,693954869,798918378,684022814,142681512,559204485,361172828,807713438,209664299,2220957,164515215,500243067,35655138,606010734,816529147,966521020,803582292,812792643,612269348,474274598,684501887,153880867,508936069,979811141,91312745,456661887,229087949,551412728,875847185,797468147,29696038,558668121,569479686,370353401,128187570,141789601,149733650,424739900,312920971,670690512,332142418,499326763,646697894,60861033,982017679,481800619,988726053,260520863,971024431,706534019,383334347,810679944,959556974,322151962,819022877,240738690,928425654,542829222,614484421,643827079,557200418,195448446,635076710,504563405,526122381,643244062,157672403,397865906,84674857,874310539,254605353,520116039,22104821,767281997,56964284,369095497,910326852,345225785,469516968,891377978,218069747,705638496,45893085,434754547,50072380,533734857,466624144,772134005,977712198,791441087,135977581,491244891,8905165,758285706,119017272,205403768,191656029,264763799,403788431,818893659,877463444,220681599,244201127,695916762,254991858,18767492,305147005,282369903,35790819,460788517,142379579,3826478,772600802,576688051,641427286,6336143,86567583,267091593,883827807,446248101,565610354,489409297,399570192,145536236,68273487,350674863,416738430,269015064,973484181,486412585,55745012,656413820,855935579,50768655,954650468,581700177,81142000,393261609,221313720,105172558,955082278,656814704,796936512,569119682,916465700,73138269,575994604,122670924,283769295,91672758,8836646,798111447,869494472,10081545,345971998,151558007,546384561,765998603,148259907,294175221,764537384,252651829,164921696,475761936,704962543,881172678,510046750,825081809,255386896,883413581,11672981,293249102,436663516,590747811,655144299,465414875,350872517,413849935,256617155,854609058,473208340,904741096,24451213,664705897,641804971,200816220,101955852,809460348,527040452,995378424,226976910,625670396,226604231,963101593,598659826,757800005,960267270,142736970,764276006,379279245,931291005,355575411,573230158,355203734,911354696,152193850,908930328,77490475,927651905,840557449,335142359,855089445,663067987,349630148,681992294,841778835,36024968,127827073,851181847,510956210,484277277,726570974,440210209,770811001,701819816,708415798,329029125,438184284,903222420,488018929,173058245,617109011,703946029,650965030,675170337,124587861,100500242,713504201,660553188,866130313,602835135,565348498,240021297,249358644,803466080,702118784,12021438,386867951,607232630,892617854,188452174,361914106,239468732,327533253,725785123,916708655,954664314,658029174,490099756,753004095,940112358,856083429,875991579,879918272,992188119,744571559,480591859,49930022,696933384,415570059,791113918,345605749,887494816,762419054,247297058,435047355,984149638,647748008,654051106,891730422,641073991,995232890,968340265,644412013,869206568,824157175,876280817,666470387,617236728,912974728,631732778,752985481,408914752,891439896,812401283,372237824,765251210,748114865,923757928,641958286,118300761,28837725,826808481,391011768,697837032,877585709,96669488,351930878,62124924,427660118,772318449,150639371,614075926,211204966,164635391,524322634,252354623,268204551,168781852,351338206,297818516,956860163,160103377,115005732,95228405,334320417,346889324,705711797,763131388,456788898,930866840,522097137,407628698,549416929,38568009,675177355,288034371,186614316,672863454,752020138,422470234,568048671,404023313,385804581,442624771,156266992,442190102,979874130,219938693,570328058,797170644,685194615,222490790,746301825,28561130,329441498,677422605,715577752,330925442,787517815,486689726,62935579,301088322,297559764,75424756,963793789,343693807,116125458,811117538,255108074,270916867,870987276,180345171,178160203,547330966,740457929,327878842,804810298,12592611,731203452,892071263,679176462,818076080,183120509,507627471,54114337,657757100,109506958,956106753,701585778,642588361,250484878,444395188,135862881,862571231,140536973,534381602,375466866,734282985,670800566,378072047,469692493,931514100,683560260,605630788,878768880,581089872,671711794,683158797,700315545,792433778,237732782,630164771,70483599,140802674,405384279,542288502,748884049,751357403,141954625,450863021,252657036,353740427,752926802,442322355,579535335,406263693,898475977,891832837,592252750,190545028,801566452,687397329,215894673,507575640,288485930,640107226,613186569,924047538,66624226,878186500,709112790,622122539,331384401,12058216,485463591,462932653,325484648,621809756,471872639,540096343,958473580,544997776,114173477,316433802,8662414,845831467,264377298,14470438,846556828,671698635,579468539,639320030,240982578,842355844,454172488,552580382,283083808,668981564,293101323,895602262,4813355,207530083,301431738,780889889,408393307,120228756,668954804,986865104,629747081,606321137,402791225,283955189,35564436,602484554,338622121,784204193,148597861,227406318,440055844,566311735,128167847,829151432,689542755,607337137,733302732,221522665,258835184,596316179,624973760,637511818,303314679,169162819,429147635,826788001,672694596,578680350,490432063,935521734,91428443,882227790,862736242,452919606,451043172,251386733,961442264,518224035,801237848,536428097,248262660,663057929,433065248,634870000,662810663,399879591,61079136,512116799,609803265,313724657,217891194,482282523,669683161,199096124,22817740,499329399,579604923,936700695,769107124,165509763,790219959,912946570,319361873,452192714,754148004,204308276,888335813,559691923,492914699,931770357,709677162,365854508,66616040,694790830,657173073,619949657,395264561,413561727,100024944,218651029,469423616,755610858,106747916,950301288,690779466,315074253,206665365,283341926,927871722,724015964,959182210,521556122,984460220,157790948,448595300,864121929,987274867,256252463,314734973,805174901,727619569,930393156,200695991,231998820,20910271,461177505,116744704,337765102,622035637,267798070,549051367,2388137,955477512,856183238,898569242,449087121,530866563,998444564,535322698,46444835,801824231,757389454,168017261,450622813,219555821,914476766,339943366,342413253,231281861,481661674,580671010,492172316,690231827,264792898,15584009,738881519,773870215,971683733,931390049,237667396,705422211,373417233,165140694,369189177,826372183,231605954,363748446,639717562,409049362,713980947,280334434,981392349,399777582,755829009,641109007,533134352,569535481,21682908,844939003,685828737,158258779,906105379,885163131,817629887,390664337,559736932,857407745,895791430,61644251,652252369,306368789,26658764,152487549,269956414,961769444,32508691,6334457,964158821,981002465,62818981,154012940,127527378,511067661,785266628,707148671,151393746,469660087,106140478,24355594,773163319,870355633,3747128,407481579,664920250,203026174,75490644,744377430,888083312,427003259,848105885,779205612,760196905,91655303,253306598,670802617,798512115,488690673,912651182,33806091,443556127,408657410,693626500,603396463,968067468,856171867,438156029,465668780,543736088,58210182,507845865,543139986,288282290,547218313,657330476,314357582,172465593,131861636,120498931,831030663,706244999,784450012,405247240,905901697,988475100,592772849,152048730,496571747,10729427,479220090,886749715,236584527,302307453,857547289,790314590,662877952,928773332,563923659,444695288,953546734,440431494,666250429,525167525,499158668,804968843,788445114,859279639,620293519,273538467,768978503,119658213,384082735,380183391,474086152,148778391,413767607,331208031,686466174,288280417,887150731,261089601,128966417,335234238,739921472,755510742,851145826,846854168,970589759,210592544,863516323,511389397,498676806,485632885,310488689,496308739,446766243,313392030,683165700,458634852,985195469,571160578,634717501,927139864,660572169,846223365,447562542,197594910,86064939,548028712,867946698,658662840,184888848,512950751,196554925,415719629,152853144,712516794,858566445,700068655,138560952,854295280,587268778,423111961,505813685,782671381,813274411,896266162,634457289,610099420,391868110,812312549,385523785,200203568,352125688,636215684,773739372,501155314,851827232,571918818,25742386,675469179,563816638,163858581,100057886,243000712,354690779,248578498,100645915,78989658,83071524,109218658,760013953,946950680,944023293,258156395,92495178,743732570,988132844,926826307,638980712,38521659,547286674,571530061,972452170,766209055,628531330,790825436,732898574,740988095,640600812,172711939,702643911,507923808,468802022,172421986,319890421,867851747,173861881,262384081,886671671,610973456,667355424,974054228,375074980,564122415,231128793,72554370,535459111,474381993,182981706,517319067,509513506,494611742,4897063,699491899,129399804,999313432,962822023,200754663,899941705,901370838,722703112,637560343,990874954,456490914,449768343,879869079,163189837,909356788,239378938,698804488,901814188,214164624,371313036,959244468,878798600,838638448,117832645,753168762,677002913,380091873,674844527,727246001,274227621,150490961,990518587,974003486,266181675,282301597,972167040,235131399,303099385,496369837,156910344,446693346,169837278,278740440,120476105,883493641,255982150,876774726,931733168,895299922,111869257,265661307,526368643,908827021,768010066,961656742,345715707,996053311,940050577,451100326,199538628,422028476,54620178,446049680,24224780,212456562,839562968,807229590,799398765,857819575,799093093,158422129,108036875,188881270,942431236,897907739,527430463,288042614,507451625,195292203,182034877,283705774,941855340,852650717,146287004,546829202,736949755,848882374,237263872,237531841,457759661,562460584,205827234,660216366,5876517,509207609,616995849,614927607,463436470,597962170,45410610,995574661,290368112,552981521,461600589,124387933,269481951,772732477,564704342,507493304,253602786,79019496,281895622,193900081,53028975,967930747,589330673,131089561,904854366,591395509,519102039,157978136,704842741,660831025,242312781,995605429,808039878,7599648,208419789,895122834,777804599,675799176,4969659,466556598,547403399,6800609,336795970,56611159,796274480,462472734,942953663,775263954,984364692,737444285,977402653,789013026,775065362,421780275,980222510,682764376,150018198,686630403,875195119,492340963,265431490,868035037,835675657,895631763,352488077,149537863,12955227,970294698,535870627,231497858,612751675,188746129,919206881,80513552,570775999,409410748,667027650,981402501,372954447,571672319,85518137,470088602,10641316,368628823,16200275,856510839,931277696,60248852,572844943,561732605,936488166,762174959,283482872,142568518,343420712,79899936,700895578,454618924,618947151,810135880,26145878,290952596,317714509,10358530,517443353,928069211,243237140,756109419,630771020,792204435,600129567,933392418,309929763,718681869,209558404,414346032,845235605,451688597,590039639,225364932,868822505,562043201,117553030,453207679,881484264,236598664,893583022,606421640,778785360,544451503,235240939,710694655,353205797,107913432,543774486,582138670,635583512,506917698,203028967,501643484,710028233,363656922,73848638,941450014,836594971,541953461,985120451,81792045,614885093,31190508,661388997,378063153,222362426,440922778,583458319,778989574,389675147,272327624,357584148,376691650,129559305,256007202,111472662,256685519,159057007,971637971,51025795,561444464,84015802,654993487,182015179,704791697,23809205,61515549,475187587,268766005,383431515,675516060,505566653,607547089,998153221,354921480,129837825,767458434,220768027,825317094,416034834,317386751,134699936,652542258,903775459,991987514,409484773,60380519,774316886,611776551,168009533,295245211,173485485,618512776,173822021,261306222,322432117,516745068,841487040,608726123,750719132,281848606,879065244,463836917,10884985,764728353,639450782,131494384,653909997,328840753,779949934,49481494,677930328,733172154,560094917,365333213,663572332,914132032,182281371,731327710,865935225,364083380,709981690,292386635,34426291,757838178,581828752,206598244,7610163,17503622,199029497,271253890,774298741,672332343,281576999,139250078,373206626,127152059,540760969,786049200,1519567,262843266,254311643,893976612,325888497,388257927,381866694,44616252,533342122,126616385,428290997,656348225,839706703,140225250,776414387,5585369,603872922,930943271,88745964,803208724,186303258,48742589,576898900,571841658,786517719,108212747,81457808,876632901,860384833,941688372,569021731,149715112,352671952,712511884,326807220,347586542,533738626,448380399,74427558,808796802,22239895,564733321,86765650,707340043,280205772,363644332,385105936,975914745,154890956,917663344,135706182,512211962,492333532,711583469,306230660,231745094,242927153,400571572,479157853,12493947,961848809,631521147,260077021,972167508,668303273,590741108,927320855,707316102,290285216,562117649,711678647,204317108,108119281,926449912,29062264,725932470,949659538,877569940,375181432,463267263,363056520,679759736,121435625,246799508,669340566,538810977,306554737,253144594,795522177,50372655,223768231,949512332,821304193,966460199,578516795,796621954,972661636,765349915,676762072,103816652,139450104,486619174,191472832,60890087,679830563,575164020,837976493,195758697,472046089,774991289,341631016,212017104,511732970,329859088,656930908,160117272,98495046,626501224,316013620,893977108,333934960,367819380,938350109,995501121,719857176,430151380,45686052,53428336,360812305,505127177,21533336,723497633,41336295,517331646,110666859,735805309,637549244,576008193,171012526,995521287,678471898,433300543,456993412,45333492,338074584,108454846,946637457,566655824,444851619,770004731,590527992,329831278,899215721,691744857,342323767,583334479,217839633,680572771,583806058,426854024,991463760,315530042,3913938,204852870,668207150,164975995,761618770,640584119,378462827,171753637,299727009,852209928,452870623,942682863,433191544,473571336,874051939,765282733,143881903,417777563,844866587,492141878,416800245,25078759,749181968,748966612,666550937,438249682,355995823,773179235,311334761,928691412,100708785,884135793,338266591,467122858,822645419,813247111,14879782,188413542,268442580,547104173,490328337,989052803,52096881,370681143,429705426,9189120,229223464,529264284,608626725,808120390,636226430,429778900,746587764,27175542,912310102,717423387,26237452,996066465,956174421,184705179,770960734,971790063,254812302,240721654,907655248,729368194,669295083,869490044,919283892,100158327,789158938,975674178,636734872,472727144,436118720,687369217,633730754,84978723,828216160,792530015,225778297,188408595,777436975,341272909,13092671,994044427,20974526,426672291,140293702,712891415,597637840,421813799,881848724,993694452,922937813,152886100,481906564,747244962,145770989,412516565,105969233,784024866,162250925,418015540,125547103,236337926,454160683,102945238,453180564,589035943,93796238,474812029,278924856,114572044,862793713,551889684,820843540,105897919,863191679,817608931,841528657,395233466,157437476,132945006,399927719,654966331,344893043,875455676,647293190,76325574,25411520,186928820,972607494,385236299,542052728,793891288,731067874,808320406,407087831,19105987,15495524,595083548,744036445,246674508,924340504,534757679,576097441,525974073,548817096,708350740,553508699,87044237,279100717,906030297,350063466,614204558,19246739,11831662,154849782,187043054,495334305,95048459,793512123,510578650,350798022,856099026,798468381,455649803,602533760,610936216,303585791,589834693,761905071,903904692,742279999,170696339,279424629,476060064,888095491,192050070,84142635,626464706,279077548,58065529,113702357,656242511,171440259,668939809,899947794,804575974,531464659,866396337,647867480,922614254,193061292,647090655,442994985,812864332,380915517,733016226,683244276,699047713,198840581,725077937,366031371,639053940,817938660,378455836,852902849,60225041,703806579,170749223,696647746,875129828,885222977,683439174,291447198,287525287,959434763,996872855,169441342,614467745,356962909,244063030,557343149,355857953,150661551,948851345,29698306,326028964,708336687,107652271,177546313,684799865,638406306,196419888,911746604,340874785,612900208,855609897,451903372,881462907,206127427,229998355,346917126,694068970,121633114,741354165,152935159,484166457,196531653,619894567,390712194,344821207,772250157,263491712,146287106,865193633,47371164,556335327,605213454,168079108,23060429,704603889,85177015,366719725,818907135,122378211,703798682,328411040,683158068,489665260,172915715,71684679,945383699,920030102,279977272,54163555,457756518,118075789,348803324,601528285,711650619,119420506,191899130,438716898,639527244,645136884,265075376,922176578,891006050,567473580,102061155,840235902,811145259,636089505,386029975,998869729,162873773,348991673,49637179,225570860,890937767,88084600,542833900,458339028,162587544,773809302,899579923,332929066,770136031,418730503,952830489,221680398,653805852,697760781,998075532,571869827,299590545,501941095,230437750,515858494,436251217,431323955,354149405,480160156,341410161,249105471,304620439,147698371,719292790,477126636,422108517,330676475,887316971,490033984,606919780,373801273,345174033,784228086,152396876,648223286,928411220,261481730,996228585,553865360,983667404,943354259,766121054,60920616,570291250,562832031,711643057,646741085,429179648,845405466,868932865,213685978,618782673,46147872,680347298,768671587,474118820,871570096,850207349,890225268,21975411,468205185,532370177,322398059,979427189,368408284,897357146,712619859,264062891,513628272,244637469,338908968,384576389,958562677,707789508,253830005,119623732,580636375,450138362,951049246,864552823,526905486,346056815,227505520,739579256,328655604,694647750,93035742,970956280,599110152,489614687,253220215,483834753,853541464,64819895,491025962,375846015,608810189,541845267,574836617,840495010,57416689,775700255,213932135,495092677,572863042,365019412,887230762,803744113,363346409,338361299,624100128,105844903,140346667,442584969,242989970,888763991,282869829,545002258,625728729,640623548,368207580,384401734,456201992,79964077,178673941,967345882,714112795,368958080,872096350,584264646,233800405,359281307,405256054,803315590,929565069,263415255,947985265,753204637,575904934,270590247,293818423,460675624,153083546,706102978,536810763,921519181,115542993,117972319,430165879,905026567,889033577,627894745,999162063,289151607,575993992,602044487,575739554,374800074,853742089,17696438,856456879,923021309,944446022,915564768,414802849,691675604,283675551,727557613,548790640,648014782,483713699,563747119,73642924,935760491,16529363,925453877,238426343,447760382,613530313,311695550,959379696,530605434,934929149,253603769,427331977,143714389,620506994,122306381,855613096,237628629,893428467,733217943,687111275,475490308,786949123,292310842,470784713,970667122,613657461,550068946,329927758,621581424,964197548,961755402,138518147,720468683,364322468,513699901,953053497,483097399,252575178,715262115,924198454,14202756,323151032,307740192,679128964,417424863,418254686,150089771,731232550,57915470,289389066,849051578,288758271,750622140,906262607,598845872,419157074,910958545,437307376,796859359,910689645,124121895,977625773,161859296,868931214,524749267,191495816,22828034,693241399,846412502,720800051,38345478,22239635,596445876,993233257,575146571,292935050,951756400,207342876,756816907,890147733,962438281,88635936,461112149,288541210,356713615,18030775,300585354,404921150,298756368,643454680,604509324,280353550,343382812,644824944,628528571,796898361,705625502,348241584,522971638,940272105,670030665,622504408,209633423,829446576,733724305,14894230,332404192,764183346,697936798,836996598,193429817,805321524,129774688,152867419,117270009,116270730,117139643,515643885,134167237,899429301,743846486,744600807,347219890,307537067,917631171,85981471,618737441,202423707,710405065,827939943,432067578,539495006,262131951,252496944,345784693,236447727,262682314,353176975,295532328,592943438,840152109,844629580,787669253,760329907,875736812,30610988,715521017,890962779,502154232,651168504,101205061,500047281,462411760,847338160,850378956,552866732,628781920,591983596,61596028,75629339,291843338,899688657,563158737,368618987,465314095,211096072,999967088,957607158,624558566,393099126,923712184,538722309,209291051,833820368,187648852,588007414,93789131,134491654,896624597,278302996,352212860,222887368,407041294,395364959,473592941,919154164,766873386,887733147,891045623,466627342,476636199,555705674,221525483,167430190,205397526,338453757,457177682,984120762,507269785,714309866,826892208,955298543,609340947,208419625,357825463,153123096,24550810,237104917,298945784,300065436,134875197,206048146,977579488,248048864,178230290,325419049,636194574,200233705,884312428,469853719,521244654,43757586,477800356,131815190,9614230,125623341,160204613,723487045,393429860,506138861,748050087,216505622,428745880,439246633,105122793,360152691,739398116,703421232,762710670,4417631,875725545,671919113,646075898,417051068,152729620,827152007,419992279,274906062,368805966,578243597,431701844,540996826,368503054,100223834,6925639,743141532,996743454,695902999,799972435,646077527,367027618,684275681,28111611,707790299,685875956,188913153,549609958,490388077,945957236,447950510,291655772,198834480,240207540,56375478,135863869,943149081,539646972,686309760,836040569,355733037,399272693,665414869,274836968,430053169,153002161,310363854,300394656,316177227,959585470,329656715,937787755,501519571,69604089,770752234,604575731,203220648,605030278,17100666,103316888,116278407,848868553,466895933,452479604,658014087,518548113,785697004,623718719,911844408,119916554,289109913,387393605,366826161,612856139,387454134,824823204,148377151,24454695,796794540,406969543,478181644,877997627,537965862,450502005,530769405,680094712,626391642,190621038,572693169,550322291,752392934,115769903,474236550,604659760,596891387,915964502,168088390,896487687,345711288,400778763,201531907,416556819,704691152,715057004,350379569,70462847,360366358,187692237,236998184,224780120,515382569,82313641,100610642,396804862,687587314,674809803,240515064,74628245,88090338,505331229,772477834,834663801,612434551,451217973,288657377,218544844,338188426,304417961,14231615,712809294,116516621,285351867,403395180,944326705,480253888,886586784,982679369,535862762,40617365,104969351,659375448,278843628,412242163,974950668,980115132,292049327,713052852,598654269,37795526,243754245,454807965,865082013,53568663,69480470,776517001,484528574,760849623,709451648,720441103,645073903,998112091,283866198,276871890,30472217,177787664,470895394,273713889,274537717,822413671,595361545,875765540,273220472,302089729,719203317,882176885,896698022,389471897,879478738,454212763,498852814,512452185,975874049,605125368,613225374,88811777,682164229,830174441,95002362,172035520,315347889,742060259,901871503,756086464,706816978,470646800,681319058,771198083,707991185,411575008,522778711,327198309,364574818,191718788,314794667,199694872,523278837,546412798,395561336,709139341,452919949,658822136,437771336,531041388,42059354,8966291,395966803,479978634,833893460,686105890,224391836,245260614,707588954,835406969,471787119,882050607,417622769,676472317,115764444,836397728,53542297,209530097,717525985,431066043,178074630,232456629,386025608,504415119,141338774,11308283,466394067,476076898,268996803,675230337,528518865,882346773,347150411,620038422,615700966,723825835,457876233,240737583,132520789,758848344,77480890,730223721,818431876,934199694,568462489,383630762,267382721,440104400,509058973,213298495,830591832,8673465,888904400,443925390,870436582,257096409,253168124,766300920,423864735,504415878,800982396,812945447,742935086,45178428,77734096,97738023,364205718,407314964,847551504,8980554,628278645,330588329,986449728,801358523,624719726,411037102,140038296,895068811,804559670,146313160,303095213,460826122,576921814,311197466,207374544,248569001,52157434,927953772,550175162,675567409,37348313,731537513,979344443,960294174,663062959,233653184,693110223,786970374,532676734,432022803,641741557,78151892,564600076,55153456,257591747,551371472,120313963,293354834,920725037,150941070,864036605,573980884,619103892,856749562,85259387,530877923,241261792,785121900,898138969,322424163,759848624,593778985,618276939,798935905,520431106,531081413,559271011,860646386,165011865,18040411,527898715,401028363,705033639,14357341,99621530,314388062,81154556,14199232,563950509,915675389,173279429,164393154,571044218,190204400,425623852,39549865,732465608,947073689,893338641,730553450,596832284,445017087,992392956,231226530,442944278,91993129,352906011,326648056,544059966,80275355,796725303,642459031,922661968,687487945,548496859,414286702,120422141,907592129,151890326,527715000,485023908,312782587,121882739,48259811,142917657,125258417,387547439,830654674,7906821,68129701,653786243,920396749,992131615,504293479,533122480,414552247,852183165,597882506,19017762,869644325,914867533,895179236,819862134,759918382,915056947,764824188,939575621,9021934,486261658,34127357,158351237,692256744,681337104,315574000,78430500,649459949,541498056,444345595,850318596,512078329,392579089,782868596,865985679,775931581,626825322,827585091,412854542,568566405,3760406,978977859,762282953,964455121,396621288,801266022,944712296,357705644,551074925,588911935,926663973,933895611,829075990,673324443,170930382,866778608,977554413,979923613,166023299,221516978,49053165,82877238,225548548,33666987,987429038,740265531,458903688,675422526,425067214,727816943,648307173,148258107,48400,95223184,105871026,870775999,478699666,803407822,26022537,443670024,127275273,531827413,169704872,749400111,110199891,266498310,445269394,163316132,590995942,976168330,665783772,611597545,808822897,317716251,469318947,835554344,513012861,540231700,18317706,102724476,764592422,407910930,757683153,146452200,333801784,835565509,660435288,921298627,455512014,212870121,632144396,366796654,678109705,169496727,947561338,366176995,562441215,327949150,326507344,327955717,389079708,495530490,698082131,994671478,580633221,486066916,650254138,895903517,763998096,919122789,427240691,356559227,432804726,908458900,313584380,534315348,319059156,559202609,390533968,634070809,308586957,656609052,551997733,991473410,440786043,598987432,262856529,504159824,817726381,277132136,166587124,397475745,437477406,739469250,406689907,442635406,757542888,939534755,450973882,894137527,278747042,621515163,683958993,820913491,244282983,756765444,850854402,10152935,674217446,498047606,473920692,473419681,922730254,527029587,639807468,644993823,609811911,566064561,57047204,201838967,20146402,910299168,290537006,467908135,988162920,343247051,864198045,532086584,959250751,953248675,461774256,804313758,611213934,814460400,481252712,837786346,729785151,43962093,807677606,430946372,251009254,790632542,951838745,292877528,422631983,807595668,700997182,127479338,533590459,24922288,527041774,10611498,838448041,72090628,332663451,661253717,547709072,777824794,308068607,417540022,955802071,585092165,507286437,895235525,225856351,330403750,629901368,647371895,671931348,740872536,777212935,968691031,814013576,992264008,737775010,846882027,614915285,270035675,878447019,6143829,123506274,389857252,537839807,691191997,155045607,598508067,587847661,147517094,414495345,220569067,806820188,835278251,762571284,545958867,895070529,942357838,735640985,481480980,816070281,13119778,817160526,92320522,804124111,455020820,224306786,859276749,259623313,446685209,891733262,411791924,999165936,335930808,425484389,206406021,294046158,49798698,550877047,237161166,941009332,458676934,786951242,639240677,629364901,414565089,486539256,364632231,668062795,722730455,391373243,352881751,121798368,995061107,591032185,150615892,442584044,745641376,662987025,227016895,359839681,697830852,620886765,766129041,736726878,284996443,890025582,177695790,745023471,251472510,182922970,508974360,279141860,923709787,456277138,638049116,116521120,382262159,669255320,830796365,824479453,794693634,681948553,894373502,328747678,864485513,838625639,98959710,698385626,719121740,563268221,126075350,256878478,267930928,643837003,396531760,288420261,575623270,954867513,76288095,300820423,137293858,504123554,225955642,687427144,833368834,347759034,41113314,640143859,81854420,610780925,478379480,129367061,360294445,571359139,427089785,587252686,637044626,744555971,724875231,861307602,936703235,567941550,705457068,301139008,846545798,218353739,806631147,90042853,965649597,762712263,488958661,889905523,622154837,13170042,923906316,440139429,334704619,94565509,503337427,940514073,74647368,565769922,348625004,797237524,202871051,10687597,680781042,367319681,649045910,757948988,388824208,515936490,442408645,298597613,911540058,199910139,5970166,973675571,733591705,154666287,536389760,455738994,934454788,714077695,650008814,114989652,542402951,812961660,443572409,297485486,692134086,282277901,643831506,684280302,910718671,6046757,911202254,999958596,599351672,16895306,695246968,335467544,312861148,914152376,740602364,418903541,783782627,263968089,861673978,87536547,908828136,627635372,938905415,353971814,128659112,533074038,684485059,950684951,246840247,889537067,116399463,104663759,592237175,144550341,502678268,128968695,999236791,548150972,267088905,505882298,543917403,640665773,714468921,924116603,454716059,890843806,45994820,316981011,635481476,775362750,930803004,150552571,846304960,153611133,326999337,296852548,37237401,732931956,480244143,566518230,859380869,816985397,47042691,983932457,212844320,806847046,975408547,636672977,924373197,935508099,79806626,760988245,423696738,149942084,791787743,209963025,552633484,292901172,821758315,224076172,535221954,223853398,999582611,945129968,49812709,177590203,758987378,960848979,833116934,51027106,424579263,699734263,102644325,962878294,453243740,606885333,754856338,866934442,404667100,489763824,547323945,162982510,152931732,276574423,182050969,374287071,262628343,979523447,589354171,123294786,414697229,592712394,478226358,146943273,704291884,981139613,596805868,685777285,174235915,744126673,382667107,412392724,249716142,650814920,212669066,878650706,320983569,345098538,812796189,425592653,570747770,155074130,379089732,354442062,626909837,16901904,253294429,542515372,414194026,693046379,264754498,273001819,383541456,648370199,207662666,364995095,656572820,484008022,631128552,941464516,377767295,927844834,395125563,622926796,180442649,325800157,708731403,412764162,996964429,784760998,608087087,87808976,878283239,178419143,704813323,148297349,621229496,779090208,827050870,404238830,183015273,138453150,834588759,557135585,585089811,644437177,993243931,449611380,384192443,683602224,452042881,156675609,427401731,6380658,916341775,410312734,187457312,532844424,242971034,780598650,573209722,648251402,133918559,206798296,263308005,763114301,52584,600252984,850995828,374245446,814423717,412821632,129275757,558065168,679041488,985564503,675565808,188992036,683949114,184580956,683010189,711885849,593297161,24127831,279947354,811963258,663041177,631985183,464578151,118280454,148809173,234803329,921105604,552622660,237321859,264673620,568813722,552564886,939780465,849121531,449834980,456548297,409219868,263603677,102620956,231263633,384729003,222614374,68469514,598864564,988996689,13946001,337731884,535888197,501071619,996626537,922211125,217100405,660828775,70235628,826954083,709453408,212490331,533692059,97407291,702626770,351010468,858840274,875061410,788058667,407703510,652351048,211344532,500786749,159317529,583119935,391936626,680468775,553713350,429802987,564423502,933088134,336646493,938636606,217829921,900406752,593831058,767391294,271748548,822950156,227219979,64605813,947573570,183296840,940509960,948107718,768271879,250146981,129716266,904412852,588395391,815149788,528099452,150016703,813220612,914577629,290976184,753181743,21281645,674174799,503403287,780695392,718582122,264188816,716167129,30517959,73982598,826335924,357765273,963867596,649803322,462992156,582745762,455351967,689342044,370709269,816593034,640429942,668771264,778997875,333393671,411482311,608579424,446681207,410371876,768093514,330294780,495084100,910279208,997137327,238906383,578555612,1029079,538152030,750437212,913195992,657978350,412211985,677632167,345362827,756289171,488583858,177004470,348821051,454241609,791951005,348887259,543130138,664574726,135383846,5584222,194432454,601083661,756182290,897314650,360886136,815749240,81709728,603740120,340579047,885781871,873799520,578298498,729096664,765460390,967671850,898604103,939878592,861921995,73786669,962592447,706753593,220393321,710539908,454445001,622348557,84237956,434991323,491554004,717626383,782342803,14719726,689183368,233372998,323913118,582498076,179009198,263297456,657722521,260440516,72244391,183737589,441287707,101258909,495706214,900115512,477765295,688619540,602259372,700836527,147971017,437744088,961399039,298626588,386716142,352064192,971860471,430097276,159314583,413364675,615227276,589224107,611514724,1749386,864251574,2622094,792715873,992555172,276562566,562349686,835424155,117069395,427040066,417183303,81231531,773745198,894680142,99980293,108622086,789780093,575881254,476559007,521012790,187597816,75576626,937188733,3263277,677100482,617387746,565779997,992741604,34580155,272962036,737444924,286654409,292251364,164487979,178868613,839174363,250469679,963790825,122470609,443480610,247798534,621797607,238590922,330662362,614736096,621029827,16597716,148397080,222638023,489994244,245587915,360145784,230520939,947464863,920922846,191227198,818313940,783395239,657676398,409494398,903216709,12431143,334123739,141556947,428631934,657629690,409104360,789077997,984825556,657492905,972487456,957655175,995187421,626869515,21651676,333341035,775273287,243967810,688040499,51897725,130064304,510081095,492695411,375239975,890146884,542568786,163479187,770113442,920708329,497159816,490019422,295222630,850070042,537599594,626973130,210422729,651999357,608546472,380378171,386778681,975481131,799353288,109069647,242370997,50802631,149462687,526685557,567106193,19126507,186975213,210294469,312520538,423548066,400598869,738834499,836256750,950713632,453939156,748152535,416868278,210376251,870178445,539751958,666238609,452324448,167891190,421320542,139172522,838600774,971494377,237626210,529866300,867461824,538970439,690276716,91202303,863134329,420572234,565585163,520494980,15552642,349663655,66779176,814713617,593286239,61908672,757838985,476496362,253703257,851797305,360471958,177494138,162474121,816525649,681443077,838702697,547058950,449890373,684005683,128563422,40669734,560570704,498292407,212399549,906021364,884940784,492443529,964991069,91738021,420237397,330690904,548180932,507152081,161143526,874984092,425563178,438659084,917142825,630820212,347875881,888530107,27302338,653427566,17010420,103206963,923673915,806873087,472492983,936278116,175989199,612770188,305013586,764165513,579323647,597188681,421196188,10351270,174811512,661410711,444223204,892308936,714638616,214045485,244803794,63347878,232484557,625625351,516074314,161495284,284403797,721862710,236070795,45045473,819762680,933263924,467149005,521232829,235860463,302266719,890156281,977064322,785565922,2699785,854444781,154559333,619567108,509171112,479428286,82511479,547067716,850018361,885272771,610574071,394571382,54774362,758523993,9685369,236288847,676011886,442796185,763584235,860378606,730483800,77810020,648680343,262213181,184233203,818188209,580853128,249401709,573749398,203529869,95703428,412437341,830475419,861733328,324544574,713705898,895200743,815971892,304170217,925518890,999432485,430773541,912087903,899178438,701133194,656559694,764502132,777104687,449749601,938139078,52704369,168631253,546957116,676778833,425047115,231118081,299668358,531622240,800569465,543138473,351093289,318092949,85633899,48927015,9386,808345347,6506291,275644013,72595825,856459083,347368048,72601957,521324052,804555550,783601344,351304823,843621859,439528836,923776967,672533642,409345738,188675582,66626254,233776742,60426751,83845930,184759396,87353864,710282049,795657628,170310358,995919337,535480956,380223183,966464940,975350672,436909863,318785911,185287582,567160256,311347019,877575241,727359010,154008765,716017157,619763331,225356571,955671123,964523037,892361196,630607928,205992123,975942397,587866958,295628805,993885084,705196272,151797521,293762346,546538681,854768371,177162023,400776645,67110226,74162669,792575153,422010531,180858590,527488238,478127225,319341355,741773621,278361549,759553550,981574239,93059066,665667665,29674932,617666309,456368401,412505023,146191635,37248584,129551176,119098605,116537905,423985019,960967156,173118705,166708789,152346463,366155269,954010383,250865473,159761164,641634808,345542217,750168517,762481303,393810957,514589969,236837506,950294301,113804528,905884523,614693722,702750785,159214789,4183336,271446975,184221641,220521111,699949129,434119007,98951430,511080258,949616155,501618580,454205,818212007,200136492,262067591,654047254,735759937,933481115,481798487,192665089,655984129,716281152,912588041,348430245,644574839,17152011,583887522,486972618,929845275,485562404,500601904,550049053,220027565,928175067,146570897,641005747,111351196,427097719,465573341,990278147,562203109,960481325,284301345,92919018,870907868,417026272,404726953,138369165,412553422,615792589,6590279,597298465,514553976,442278474,943765408,399623748,659683189,577448622,560015110,974203732,594130544,626993077,378384483,202403614,999415583,191842503,110284832,924046838,740088176,317075291,458592686,413030060,197516929,912950899,3381547,911192444,974082196,556516170,656207756,726166636,82477490,808541369,307664337,27286737,212321281,802215508,911372117,294524810,625037215,169420358,490918314,391123197,401855021,570192539,540467354,241826140,215001976,384632450,629660897,497546998,367769637,226945926,915460275,12895030,711444924,12603750,304150925,784508077,598105361,689888138,781782316,645582531,231762739,485456153,301006249,631395212,88328698,626855473,78474935,953038004,220791330,147455827,729800214,608048181,264439328,19382750,193575665,879133499,588840388,334491760,950062741,931437957,929289885,540994044,576394560,762770056,200781985,453885333,761631019,66557506,216393037,338673320,725062223,81955080,771059941,403548130,775536104,634185613,589541121,746431719,10317430,314324711,869847053,847176438,551687470,640269676,565272761,587268088,42271445,913308827,475405227,322685705,319753566,320150279,769575142,581704457,164623981,114095409,962283107,509682157,971286224,547676267,71718632,532906223,803686342,188267015,955842795,249023321,499621278,547658021,877820003,846193429,890772310,389226292,146468334,414646320,789405999,577951761,761692941,791579429,805800297,132303701,849588356,997210945,138616662,141764092,192012809,247641122,337854262,544020860,417801760,605498212,172601219,856352900,320086795,482161752,473554377,471052385,870342513,890973546,458163780,476111798,217658584,937700543,724493485,259769261,345019985,707191349,521839000,332284353,113607790,248581010,956223673,853803867,661492625,415499961,351450992,72810808,492750971,343654037,386701600,163090083,933892156,358525100,117815177,973284243,397679224,188936796,26315336,134392689,686773810,10007163,184573631,577501941,577182257,635685863,743295786,223581928,387280373,474422497,134673494,548971680,816552680,770947336,762954504,489581292,846966708,822915629,504626010,313555772,386409606,924459614,8711410,903029174,593514513,159801793,568214572,302246488,399153636,576301473,342546836,762657423,738043402,146986851,167669530,607048554,727410353,978873334,518241451,500690524,960965324,749357832,8657608,500827035,686038037,340253114,730715442,688366357,514173576,311830586,460972543,612870767,641953057,8426768,36199896,943228534,113532233,629284069,61482207,305247873,705461987,933705807,5150676,398822914,290372884,129418006,197045422,143751681,885606956,748864761,766416878,637763950,127476586,519356979,253083242,521076517,732325762,969790226,429473671,571932583,772715114,199694748,366911495,705389596,188722396,535263218,280926958,535456401,395159182,252865916,849248807,208473480,259911586,918017196,284363373,106097923,566965441,576577972,555176605,835795698,239186410,692641488,597740841,848980741,613136138,716851116,545133222,382691653,42705004,508274380,563020701,340256894,985647396,386458544,448302055,590128900,252310619,935164636,488651132,357883355,142808530,280359688,630063882,325238637,312048682,897941133,592049755,959044588,422991282,80397567,418221439,864178651,862507275,324402983,370514269,171695377,883603801,993478750,892329317,658010808,948066574,624917813,623271738,839679608,218001687,870279148,137121359,761155176,33643354,908286393,947566974,725398669,607675997,478376810,931109087,893451557,621602227,649455366,969016750,813268638,15620283,463771504,460062575,868486248,69460260,915932223,150875904,926827013,700896282,84576471,283100109,793285847,248613801,964337021,149804717,174858436,922506921,866093282,929899688,993017102,594371844,355188813,499182596,394865342,381142891,37342369,57440099,27852524,800638700,859732169,323328312,297879488,83271607,300536209,657086494,832678735,781515266,197979233,839955921,668699627,297551522,252319375,589233114,897839839,377339424,701599422,975302032,359662343,885136235,334176095,316209996,340466966,213824721,107123455,449458420,411220237,507867035,986145723,242727588,339833855,251916932,991398011,367197349,397710634,350853135,558653765,706495407,905544704,554287438,225927814,337792630,21557249,876963578,557266983,598622765,513144480,582066903,595406895,555408282,704251407,551445675,815135034,804254835,475054968,947505929,581011258,446587580,888424093,622241243,170902235,776986169,583416425,290628978,394817621,682303907,204082623,226658283,400619232,133964511,155404524,885872580,649072924,438148928,106496308,800716092,615673839,247799052,87419517,96406492,632327768,735356546,888174479,801745470,908992553,902686302,569087256,523865593,734459208,586007695,986163693,730280350,444014979,833852555,530325312,249082171,529816604,354191443,426749226,548885293,987041121,42460755,997368616,787130725,739157963,246428028,294018789,460021994,979475731,999439113,912799385,731475172,148413701,716343147,393203298,918113337,300670368,337375907,355951288,80797459,364506279,524771590,322896716,81623858,582469632,429962570,465401608,429523426,338898069,228816992,764910263,470744493,275444885,808163604,175182102,280904963,417318779,962944015,903813670,925780802,848395568,469448459,927941783,391592418,288197896,777214732,225431925,636633997,529099999,557277774,509426363,572834112,581457277,956997180,41299115,647967972,695387926,288884303,426967824,851497140,912734607,831388435,329545197,239029960,827965556,247423221,918519026,166606417,187770408,563074624,928172608,883578815,924733899,881323138,3229861,958815508,840104184,156221349,97354273,388289570,306285712,247740926,622956133,671017117,58527743,636033194,722298518,334576284,145875078,466397008,563411732,620282185,356184565,482700155,933987561,991879254,509466632,121321018,768784756,958514006,271921724,703850529,13011801,644328450,279076711,325568836,538383116,656915080,196990032,657867505,51183392,581529272,668468129,959187622,39720125,207377348,357212793,75746425,732421617,722385227,148914281,797948173,289998138,331585547,230117676,417650578,219333676,404720802,258300267,937639501,705031390,372436715,509469557,219896258,625016998,332621350,346013590,441128769,818081599,731097083,754340198,439093930,58753445,187692720,493805860,362049599,589015914,769982165,185507227,771735978,140678370,593851678,449693266,516090507,27140571,839645578,342150861,259361806,323598245,175787642,24232975,491435599,274638754,620487103,59529520,146501509,119825704,608983596,658983579,203850815,425503271,483716517,204694046,915511790,572720117,250379940,148711341,1372358,889874164,587127722,428653894,934402351,686988933,274621598,325092206,577223425,805666669,573200046,893035667,382672352,349539797,27085997,117231921,755383126,166500593,471601692,675315352,46464007,89231492,11573562,896539293,226475324,263930525,283211442,465373503,262185281,248795052,416511284,748804216,290537719,554893865,619975645,309526347,560668904,58323349,681268819,209452359,898473036,865332760,623338180,21616943,457993979,594725406,27922920,264277514,370093882,79938127,361156308,906155121,333225799,4221997,539554232,150886081,180920924,554379432,179097337,556914044,707205176,101193584,509426953,384504620,680228264,938175281,300555337,735002633,942318179,773404290,772153431,233729323,903893,481263995,314949467,300438565,506848498,653419194,955734197,690799762,617937947,758477355,248617754,767305073,756694765,170898429,289062188,549584902,691627679,996054102,171037463,937784064,624768337,500635287,775538659,908423889,507493292,870075232,249881153,623391594,762107006,700684426,44836538,969608968,620251239,670534097,701402059,7446170,6355609,299827955,414077752,529092127,715011607,685668266,30691379,84981811,456470279,938959914,832579667,710149014,695120985,237535455,97243940,728868186,990579948,214705724,674262589,111706221,566479310,143416720,815914759,902882295,100696224,506888675,559307932,936043683,269933655,804601230,31494426,398537744,286644421,937704969,173919202,717402796,133195587,565684884,553335052,911690226,405015827,225749207,826155734,11034605,397718024,635946701,450634783,642328528,442535458,43894157,613249290,274014224,595270424,745585415,242390683,184719463,835371057,495763451,72426064,481709566,666550074,828813655,133129806,784545106,571077920,537785761,962556963,142436922,284952774,609741923,742494673,970358205,552459562,352561593,46786297,352723810,648910768,428459772,163816700,729157065,988788663,755932693,907673682,719923538,883351668,458997903,534816162,476492195,882813452,266985881,566210348,957902194,271281226,925447962,516305502,198371266,696822824,481643345,666998721,582817150,74055689,861604060,240081894,920287233,81026130,352872767,923788265,439613677,239495893,504642288,199105662,746579608,52382105,457654374,238857314,530986034,578654764,784489546,453494681,677038747,742178080,692138269,67015647,764583405,386086478,218146882,270429837,857575049,895514755,252665507,531192778,14154590,853722785,406452596,443597350,78026875,18470934,65908013,929471774,375551947,75741706,974266166,457023717,56079480,530607312,924002864,136039180,174381951,53140245,369504019,408222308,938051527,872687747,662325306,888047338,292865844,60544170,320014590,493786046,533109332,369517190,381498714,96933710,272441340,644725907,845161365,135249944,2191989,257991813,417008643,425021177,181706881,85482846,28705329,727543086,480196119,413055196,783912062,29111850,361260801,75161862,753857446,408116675,74986058,95036027,317169629,668486442,503955482,5279347,221784877,28078184,837063538,191849259,153213623,584974029,463178723,527900564,201307356,250182478,953423773,89593762,670443203,739895968,989290991,141178588,341335688,7544513,835779901,229793964,325794278,791242519,350275551,817671843,91670840,251046176,161768782,695880370,564530976,642608495,218312895,719424956,754053714,81693232,279710936,431237832,108070367,331682049,176569018,828329106,246186735,181904931,970499812,268379951,676558664,537419713,629208690,131684407,725680511,838141865,305643816,88711396,853722620,849607654,792845554,92000564,876429515,825960780,536444185,255204030,739952405,485805306,790926571,400106410,933211998,291118999,954763575,472948130,654090399,908442145,218624589,869010267,443869949,648488543,446553508,519199407,132744069,210897795,403627685,556842444,354211983,846949772,246453247,995313883,501910847,407730086,59876778,153103549,568707033,309487491,133692383,68445747,564127677,229444851,612939141,105563056,465352073,664685516,327016694,535538899,883131370,247246387,148825558,766858351,627593632,180044227,983741685,538885812,135476250,614012399,750199833,972349882,2855582,403730735,361454824,580875726,204364679,253144924,961094877,603196799,96497418,569447050,781182508,200513413,782876306,705976479,42861570,797668746,714689887,825665712,608506997,733141129,459889774,498316981,367562952,758919828,590312770,90596658,203869037,703287365,884175355,582498741,317268171,111497473,945056846,73430444,950358748,612297414,508098754,889615770,818469973,22813555,402666122,227585890,401847004,556012445,309055905,8185055,702769430,240841533,433866517,357722566,919833706,566279772,270040696,746553767,271471663,510841330,472814625,175490060,380555459,61952033,106375245,531812494,87785137,195845768,94010417,182823711,257823918,150760858,155211498,303095827,718846492,671927542,158467410,114344208,329149557,384444114,214657241,987756410,852852386,523394541,271678419,587725996,726185820,832413682,651436076,211305157,485974890,362723098,548876520,120009679,463804511,129901646,681195189,247637320,535564879,237108890,958579428,906387096,708397421,88568825,183243547,129531850,299699670,104279768,804604769,531517535,711288021,527194824,463913521,157972838,345950016,758085846,290731718,829824514,439277102,665561866,369671390,868159376,213414747,208539030,305408214,198061691,156104144,784298168,23381502,589593334,384437321,687803019,807531532,593608385,872356367,75480640,98420683,802834282,777799173,824369555,46892096,180280853,668459779,712435708,705659613,286799034,22445518,877859309,432319269,503759211,161251195,718227284,345699729,977574586,379105912,304322361,815543524,711478035,756959959,268616941,272714092,538238242,567876646,673860600,783065042,329065250,604936167,322308350,119208442,591293564,160698169,229594080,955515054,711030305,715575597,658965845,159907997,359957510,432611886,696438040,822171098,325170550,751882249,314275667,347497811,754350820,887827678,572818261,832743490,110725246,482118375,33622281,445596389,337651337,928797691,91639312,92364892,774093082,557542226,845455920,980223516,268988407,835026441,65801842,407742640,77739318,700830462,81955126,423689688,324353048,492752740,97865270,288492880,190432270,798144340,213774556,965567760,285770192,503333878,597560358,988998059,743757431,527463462,347546114,107564202,819297178,564142693,887361400,96405857,426970599,734468312,288289985,619823110,155507484,209692253,390457477,214301941,1837416,95205946,429260591,432695267,174862726,772303928,481626398,783134511,677900711,957065857,37057583,948871917,641739934,911511760,352618639,144144884,642550638,797834095,463006664,464388113,728985125,106574706,844551739,532767458,707715667,851689093,110184963,611739256,513682935,856429092,326777561,744972921,877791939,132978690,135803803,926136772,968590174,567882723,694782523,861682127,152256335,790725824,596916483,367571719,627420629,136173879,198044353,511070611,442455017,834116714,701693337,992900302,771747360,617784839,522960141,346429435,169500046,6071737,316867778,277787152,188993407,990685361,312029437,96117817,687289715,720968293,900389433,927588466,639758844,162513219,710391516,774529200,562823075,765712224,266138608,193301190,214860502,569621103,488870689,399252209,673757438,375409390,445687655,733416580,531558204,948227586,946302828,636845835,162843359,535088652,704196763,433614275,976185238,638199673,18575114,760098967,714132944,73926617,969084096,205996466,925332702,269773141,662659411,827610981,351513379,169478736,340121492,692665906,709329717,647919030,490994344,949825790,520026019,384548813,696151191,765437277,148263379,873730131,940605067,533176151,846086907,527762075,715335656,301820554,230461124,841050218,630261373,744228791,143619525,223674426,240328857,946432016,374537753,755909513,472304041,228392771,951318893,777143591,597909051,612832640,978572924,372443016,712332806,463371403,983093144,267849842,530278126,875006043,375265125,696106962,338964489,916735522,265029251,818473463,448638713,757806898,574340535,179918040,431791600,920277555,385162752,471660133,87158064,993161900,99534653,531834173,937548633,243645459,271691341,533753312,443292544,562033813,798339860,174427780,691762520,746633641,594698411,747607868,289948115,873140690,408948715,457545238,790088344,609910000,92359424,502459453,993681303,170578854,933143308,847159630,902660503,202816025,961378094,586870797,6597422,715009393,544352161,442388790,442351555,413270310,364829953,709908780,948316405,355401700,832550571,741420053,415584444,427590056,579496827,101833951,649060577,132455349,150302460,793979921,268856371,64571225,594205180,742588338,613143851,925893458,573604747,314432722,784578329,120615346,945634791,816299875,720827422,257689098,497213787,618589955,830126427,287617909,435479642,308682117,393551572,158192768,24162952,453280450,798940506,721966326,706730633,951474354,94194893,174866621,632614063,702367567,761763812,324931167,948598417,541163292,384196586,179582683,374962133,682696873,277922584,352332351,541560896,34363151,225452952,660202266,266195117,469381641,124704964,252546926,925602092,420243494,3721371,151605106,860251977,590861630,468721681,547860123,883652779,959746031,823374824,972573207,551047867,680876209,308132831,187365545,925546248,718306121,308304633,756443336,974590100,324709392,269103071,528559879,52077121,457190533,605555588,64636890,728812749,656837376,303206439,756724558,768541929,619719857,140133572,20037392,699549844,200105788,725966424,52626940,642719923,902223160,607417710,611363645,765676583,144467559,272759488,232056684,431514201,561775599,762774971,765368743,678927833,504996642,589808713,725956198,102598644,24343121,168446691,158488841,523060401,313024510,663699005,676252294,389492895,127110452,467574029,531376319,319752410,220004095,181299782,901194408,301958470,877086216,419799505,181678283,766476610,524326144,120523468,906199801,967103129,541178054,667606643,593245416,700184361,862588623,7729757,255547371,513649039,705794691,893024843,555620833,148745345,235838290,571859499,760890356,789225584,620181679,189159665,516468687,237916185,6004873,695858848,355834694,941682223,665572248,640879378,206170582,11620037,598830471,718853325,333750561,46022443,713162272,76052352,458407071,52642838,942629118,875017777,824776439,117808409,210172271,953278262,475103977,370650413,83556775,490097345,216216753,524648284,703888970,594140357,164389401,580821229,639006993,825313107,959324446,105279256,768637528,887154661,713643119,345563531,241851440,468053686,304233619,186648232,635051997,586210266,109505328,543061133,795294900,304925672,64032801,71700010,523834741,372045097,902849209,53393516,328998138,505957716,727289606,759344172,476853046,206395041,412369212,749583277,884036910,298591982,544587976,774996158,78912228,653275598,588015491,441401240,517533620,554788326,515174318,758298812,865157144,566552194,35566884,376432292,913158433,231021695,682098243,850106823,572657477,225178574,301975599,135216956,81019875,893119116,816214254,386273176,200711396,274749711,553604322,701931559,337684414,416505804,900364702,335306857,141138437,875508655,750682435,745315101,421238668,290499948,713431952,729330812,783533455,214620898,537035183,359697066,424848105,592308769,922974206,434587250,781063254,677359730,578801518,254112420,546264638,564625919,288547106,631717369,962440683,871576618,732235820,592430330,191097560,422577898,27697112,445790749,613609811,990495869,528011278,779882921,669181639,556441757,242540064,739535102,238134499,691702551,284781491,115148353,147823259,996910195,329053336,389570946,691655128,934532143,299871032,94296310,661577161,540491979,659669849,757820564,850815194,950209198,209397377,351955066,646454981,556199745,713339169,542619132,702196035,873883018,114994320,357740473,324418361,360128258,30464796,58763251,180065047,671787939,606458741,349206976,961121451,90979793,201074021,916739971,973003515,287889421,689706873,459856621,132147537,544152005,879220327,273059892,571553118,447972901,78821172,142483696,864224754,443448749,511758471,323581968,477472237,698951631,921073785,990476246,861510331,220186279,340893201,205058867,951293810,417823605,169771655,428368501,728476319,580186758,899237290,360889787,411219803,212245330,878023329,658509296,620441037,60359273,296932527,304472254,391439193,281759930,244250835,609545569,775036642,729201978,471997336,224293731,648455905,50760899,123102135,557496190,118739950,530301232,245052612,949584331,662163325,986528797,486420052,68016361,302564668,996915993,824477472,211419341,694961215,577281722,418543701,399334933,501687616,148512259,420841448,265859905,828017219,485472177,62352006,419263994,565988475,213284769,699240977,182297367,921150811,444071126,519477715,971905873,965035184,795226346,178181105,659684665,191147930,374522357,48537247,915553762,833959323,118854226,209388529,875315216,743121202,969738172,688821495,237677656,668608086,353535346,436943807,931827111,13503687,722169690,68444323,503181611,826818028,995992149,922222753,210270003,870576713,514794567,957653473,495115268,274657332,922497304,379247044,635569057,240726314,673412017,705796677,445980716,247373963,94125378,30247298,816122174,834461642,567408153,302923798,583586149,32447768,658966431,39407641,7671863,574471819,86121522,703427546,226942506,172649419,57290023,435941924,350516776,315117095,286531744,993637784,609526200,342846696,906215450,177373487,687616539,934662845,629650622,107119201,183274200,701577867,415983954,124794816,946255079,396414986,34034727,703347277,357163123,67486690,718039272,998500287,867069353,63893679,963517227,981435537,973410024,50754474,267295059,727538218,906227859,899621102,508184803,56308256,923068016,645073164,310377034,61443477,502079563,566378219,193610590,524805908,608627088,195375010,368338363,10929718,838857713,759101260,572085386,438659309,784537779,91058934,793385541,505974032,608101361,852173722,646111756,414443317,709872298,755996920,830199153,501580885,862535224,835854845,330571542,39633931,609454405,631021917,387184689,245562093,387604622,25168812,556845426,19579083,403115686,625651623,755874140,166524606,916721667,283048133,755772163,670640056,565950606,589677042,324086291,312096382,942677747,353799980,743414976,480961541,536265664,438796872,697476460,164728333,835634807,707669997,378089303,597368773,120655130,978502159,492654119,467903183,693283459,386157185,356892496,804733882,837902475,600352099,128943683,53305159,671520581,957197359,931362385,325461456,973066711,587377016,855673712,466338386,61091770,67884920,898720486,169644205,327975638,288115824,9650375,960890627,72148407,471320877,65405941,588830578,835981486,277507716,49653032,808460942,655723378,836923916,539313390,768074464,56562190,665069539,60061611,406337925,811232481,453739276,336602049,239822259,714397807,394172243,896454209,718668637,637446587,10157207,116263952,542727050,792122066,760726432,539163229,638559849,66301722,53964505,210002256,984708115,176065099,774969561,542681340,640534091,882076218,577385590,551297534,747708869,527615229,746958489,554531109,38464602,759603821,171537249,984029685,644162022,200801530,788810160,325555831,473095762,600034027,450997974,929045494,336232052,803600611,433462131,822703240,419152890,945447715,660516099,494353410,69066313,229328465,624611059,621137952,591053781,336255491,128599203,509047229,611449157,310199588,602030934,633054802,737089094,287447701,565479189,906617033,998565251,897335508,462393286,752152053,114164270,148588125,200661487,553206077,744160790,443352794,525120666,750962165,329609388,751236684,620422628,401901470,986868068,872858194,331530843,251515082,315758016,468379702,317849272,985308785,524711632,615624295,498613974,372457527,467245914,206783621,267031170,350528769,387682853,467543613,589260936,593121586,731302053,289218299,826793843,61563721,269697783,861494287,485860917,19509170,670351443,209578257,465554469,173255496,979086261,418344147,854735999,849003048,476319668,952060848,535566379,839584243,497286976,4121450,204739308,62350977,555170562,616435200,976875222,245218901,692865614,293105488,279433569,48022497,952527955,805313788,378969765,690708821,837732599,44859351,457696053,246923589,608234187,717179588,372382662,981977575,983841518,927011095,340018541,560292672,36039156,491381937,771438641,784984059,658564772,874485223,383442586,22770931,816173380,889324366,519927195,101593243,781667610,288316929,761922944,43639547,522883774,783604736,738904298,339430769,578270028,151726500,781920009,389135055,58124181,736913445,99196910,544855652,547226239,458805062,350190667,404565785,564263886,864511847,106791622,363443022,502919362,277911572,907489740,889052600,601440638,834788068,461972904,695962531,415957013,3200457,633707260,428186609,494793189,570777221,528595721,950465415,559056275,668327127,496098791,28777923,648247238,87160076,211540937,274722171,487284682,987322090,859845533,668057019,493274470,609548008,746515405,645830083,448487679,823467490,879524609,687385904,72315572,276275689,502916707,883761496,639716784,769157644,298078120,818924293,983140590,319435898,645646458,812131028,325311880,712937634,491417652,333554799,915714931,882402681,541204188,40957590,656850440,356421761,676317532,5622936,659572450,866357556,212850957,212638323,216429618,598241205,423964009,660582645,66768945,85361888,517089143,357397416,779658213,334398169,45344920,101672354,874885702,719088961,318005085,834518260,385274389,988188052,641549666,327415664,864290668,171866290,211578323,356201329,76647487,258977595,729684744,484363673,416865365,277170750,339625323,277504064,411873853,295048653,382248060,605817012,337893607,178296901,472917286,137937258,997993585,305625211,535857787,357156436,630600836,448232069,94269910,648737761,745558338,394381066,34134522,86492788,383259062,650939869,455961379,201365368,351719784,888270213,995063186,554564634,356848291,150722161,325551399,679783145,269409756,920866741,264348307,466050933,794769058,691251159,683764477,483802812,773212158,120591452,178153591,961556439,752369053,205822320,902705331,352459958,151630344,971585578,988614948,372860828,714814893,742980320,299996082,716603946,784819410,163319723,145556174,402908003,844749505,938811841,468061323,514528083,744013414,590443249,104254797,275568862,824035155,387929096,688830919,719012036,822337082,366700867,380252723,721884996,145389558,678351481,13524306,219726969,574213679,284650660,404750202,987130780,540111236,105010989,901486662,405435963,386168566,14260086,88240121,426750443,113659236,344966040,817143679,666206999,479214505,500639280,10072596,668084788,252172925,514175439,989751676,843738987,52420190,146327201,645114564,566693437,917662986,197322948,129956511,102616595,763856407,662828821,776754286,19405554,510541809,335713783,567517224,261026794,432539522,212967252,99166365,446253563,142722813,104824695,60595603,244139769,755035094,681726466,125173240,9578851,619529435,636415912,876202954,78469011,717871799,82900499,878527333,820002426,518551060,47490290,101806443,389234853,386551227,277328592,737604086,132185282,669034485,969435585,598100955,715811776,636504784,856744429,65590208,898833611,55518828,939547371,701227139,99840370,281535449,71566599,75896634,27526300,114765775,784727425,929364147,327420087,138185847,9772389,13166049,310284843,840314958,155692526,281999868,538436225,461005202,107068321,295215952,462345389,106901092,485209488,184976943,393386691,209708309,191612465,751478592,38400941,669583145,614108024,640074950,131850921,224195497,918701737,214072355,728940370,853807440,904862675,440153458,739254614,820984788,899613793,967296548,95722450,453022010,933979785,386684850,538790156,639525323,762890702,684661339,774632435,378089322,225886548,540219173,774451779,485166257,67113848,916253033,699535512,774795262,809291986,763849599,105766401,796439230,347886791,591223154,643944645,585946760,853220638,745467455,843961391,533033587,648456993,669100164,130348532,937840327,126110711,874305014,821819998,886853806,917189549,477262712,4191601,564864806,797294662,718628210,325044849,695231254,228514290,595127536,347062987,501331700,562518091,847419589,307899781,539024531,116965848,221822793,866296887,334685650,323707837,748457326,732555907,970997331,304449202,228940288,252590977,769624648,392426317,114951730,403636625,65941958,602535988,941290997,268778904,936087319,818876600,92608052,994049900,529071482,235847346,156533418,832863780,940457909,228726355,745384272,453710879,438555133,61481725,213525205,424468067,915967002,208399975,749434019,145356082,436083801,630053680,23170609,29615523,14776093,660036083,284320398,784924981,103301722,277334674,689769090,222833413,463497468,581990211,794407154,598563157,642264712,214883292,57145794,611740147,316064632,183121636,529488030,713886317,237420240,269498457,564536197,18387356,20515055,132931990,746087756,622754828,859605228,270612887,479963670,599736739,331999666,968333759,478220276,578730886,312123930,194810515,70304493,752818835,593587012,217597220,148384072,306543279,645496960,389563472,689716124,709441316,886503896,111926986,254986711,299853548,615680955,532067658,779871424,347203465,424083656,593446231,186417032,121671462,848516170,980413883,714077280,274122656,322170780,135680177,308493679,265979305,980182866,763411515,115135797,779671590,707046748,966022020,746961000,492381879,83665402,779728695,705854087,744869949,268069690,687432118,409025612,891709245,798766316,472170991,696814503,67387522,482822510,589276708,13996119,724767823,522404097,795688697,446833231,468352728,130350914,92120063,303002245,705712736,504931677,467983834,288931058,217954806,547314205,9688871,170344406,449686054,435050745,482666621,396553003,487586433,406995978,859004499,945200437,445103856,424650261,437296786,160091128,364137204,280646892,937287854,835902905,734961520,749091580,426027322,27549675,222097820,492696140,544895652,129658139,851718998,763152507,415766999,473936583,782901222,770764330,153603879,366306397,422894072,876218872,726960789,229086088,242631193,136685804,657884309,427359214,364185871,265918942,384184510,912530420,622103381,266207244,239390389,48521135,441753237,256977240,133849630,579369454,154046249,937204148,784363338,653420708,678159901,682224900,907542747,961958137,662702044,38787740,695943210,264935143,887146647,128269367,674976090,504857095,405195138,374226705,952865939,10363092,926672936,827263440,992988245,542119717,547928198,934926247,292266020,816717854,767206041,11767068,761747754,395951348,698644151,139855839,93023263,627447273,682484168,703158195,841969922,218162894,766202511,900361386,94153238,277274942,740955526,645846502,222084099,400928018,807356852,378685388,934495764,412321665,904995946,783396093,842581450,373874962,442737980,466880851,5500653,177066758,297564931,793161302,302530136,511943523,617396687,13243465,816544425,484808777,625168317,307375821,215338712,73090113,221790043,735275174,621241982,576869490,177097903,434065749,355235213,21696126,656547690,245072611,207228542,477178537,905475705,791774666,370147878,465023810,296552025,810219913,246356315,161281101,258682040,453800214,980282937,768980182,172560379,480722808,881673460,795982666,677874875,376907516,403667377,426089990,931432601,986043866,449798831,965755201,877047537,552357535,323997857,778521883,299140642,694928323,236517854,301514239,469970109,844657739,905273260,68677008,752546875,555750605,965368118,346975839,320153753,890657328,370759910,326300523,361204642,672027973,659475632,164943876,735627829,800036331,607321884,22618501,945064190,232359073,624917983,416495664,191484105,96210571,861164540,229889095,170611314,309756653,453517442,360101524,40182056,419254962,379702688,419383449,661599392,902465566,977344788,238169649,837886834,644510375,822034485,436404118,60474682,641397071,732215680,704588629,418744616,22555554,883253333,577516294,740680184,800712521,763568243,166867832,694561312,453698769,929071274,45961852,646357776,906369822,960003418,642978768,923153983,462462807,441469159,975511785,818796375,13061984,62807383,423307990,108770293,491245407,909311400,113230781,863799141,840899936,715723312,340691716,269392014,87609348,251466970,81962387,945915473,434257719,817959186,752419559,15050906,882887739,798317778,920301376,879375758,772235330,219862805,289765137,79593065,364509034,94670309,328986851,450436797,681695769,802874598,302965611,548803735,687447386,626421274,241528057,424686671,538909106,635748415,515532156,220470682,242771826,687883842,392176335,809852262,716273639,565507424,568072226,745103990,861024694,281179502,33366513,611091211,292540781,194384412,754195424,243323030,641384874,171612861,878609865,877327621,705584869,655638886,172984699,154382270,716072668,126067057,648936876,710354490,412172833,840869771,557471778,742965422,330860498,406927212,712326474,341406263,575138360,184943817,970545121,175223031,924085225,449434884,187782126,171495851,768716569,250438686,922630070,162808845,758506048,339594056,115935389,458536273,722928047,433213069,674559140,567855165,572531446,437261993,547528772,130106890,205713873,385407712,234127341,830808653,63572650,666126259,675342225,553621919,887286253,895260311,481417750,537748229,359858118,722668094,598676490,955709578,765577359,588114826,481328606,522449454,248178882,532371387,186764161,659672264,531104660,305713282,633200585,765944549,340343028,624440808,253124973,538529624,780472834,119884814,953334605,648179362,315301370,513034440,899751775,563170447,209134507,207876425,277128030,467461719,906953487,619448050,417895547,883512713,169343662,326137338,517832160,212076261,77387326,282951065,447337531,796110121,775635205,793998942,866076785,995438122,397852697,933460567,274195894,383650474,248465290,637875565,498627614,538034034,407412895,931413394,155069591,760975128,500490863,526207464,119660256,402810652,6231759,302646793,849076769,915937596,77737716,353382057,182391240,325360133,576519638,122006239,426056871,322903985,44115428,291663041,38447964,379328175,659239434,915342114,773113809,435127599,584488661,20802633,789128521,459996626,609458500,108403145,177731317,730017426,288795724,880636878,510499157,874650585,954313362,600561506,890411103,995850330,980219082,936724713,972874604,113154008,925756228,659319594,661884619,539469994,951910645,318045208,208142063,153345529,58146804,863132300,640074959,101663102,449710593,345123077,841774926,837277424,5609682,776193072,178677051,67774698,202024586,432083536,212887641,180981525,943067197,930902281,529790005,527758074,528234749,453186210,254305097,440074139,719738724,231409609,50180430,463983102,394538670,964772704,113710452,199771185,947126055,832581440,465302771,677298093,626033222,65934604,557141594,618103185,747799953,220793886,715573827,226562041,474372890,876699056,545810662,278524051,647717170,880425476,337993606,143543197,674454263,30485978,542023106,635391340,368258062,858414428,459895136,81810869,623263942,71904775,733017653,3257160,955987163,769459492,595041258,399610049,203570730,462720055,351620132,257584146,409966220,242155586,997447042,808322717,528225311,615509000,349291065,601610163,791569879,255372151,747433608,656462710,616176789,556386116,64207688,404090963,664057896,882426521,958745976,249529132,383519410,529924640,190837427,936334133,664419976,393828040,16597383,391222621,181660758,289552083,338747754,311289003,761525166,579924860,855938530,482400316,730137797,644535388,429716853,37243795,356236813,992169613,100393310,403105964,190169326,252997337,536578567,283308741,853054080,18300158,626827610,971270932,36523668,558316526,489248464,733024290,664208599,731290035,980332699,331545266,447503228,66830286,290871090,122686563,915048074,882203672,243761311,494570981,944839692,160834566,892935812,153464185,406320990,413058083,391470840,504507293,965990565,463889105,522796302,977376607,454750928,154805856,904285332,809854230,827245688,499467946,115954994,678044105,632769508,681773826,300257514,216253335,119170222,862633951,706805233,789668490,157612607,200587281,863222346,415729787,637165729,210580216,550288003,847379034,83088159,900091703,482024976,672626924,665126656,343313975,356205451,369781540,527125643,518008528,957570556,530911825,933611234,12747404,178404863,62523615,873925844,915008100,146147319,971644491,843012296,395991207,560918319,594647970,44328989,246434640,916047667,992173867,597490090,56673897,538831137,512112861,818787386,795383469,494724133,688865476,325490330,911232429,350172270,533515525,31555297,838764031,869955248,576906911,281131117,965347857,431551523,802792199,77927702,635417966,926080849,463008189,316224621,150617510,562825207,813048585,100519896,665633741,925711847,549060675,478456209,860035967,867693921,271984538,532414663,32830327,578892237,542165116,206820898,249746087,809842400,134302359,910567754,45795305,511978532,632056752,942070394,340309735,990758987,685914211,887914694,792795099,838292628,376689743,310084120,404424468,774442839,937361296,353124649,757197016,919206247,10665028,482648276,396529581,924112819,708863313,28392373,209356915,549237609,147546935,901347273,659321078,503645415,456912870,951049796,2141147,488128069,904467583,977729171,90373205,853954707,93509668,533184971,946524347,698968854,220935105,396081351,448552309,177823368,219665004,575489025,754994258,956609650,544387882,803989465,239498439,779290903,183061653,652093164,372158138,151869953,224009123,630717653,861156535,779457977,162951920,304605136,26317500,673826759,790239519,69537735,529302750,74362454,376259388,142120771,756440227,225639916,586674529,416563484,699628267,32473396,409358154,236509130,384068184,789626037,148769239,790004861,882999002,113693636,893683402,927872522,522972675,545535202,875035079,238746861,630565261,457201226,713909678,342619950,339170711,389583848,162934521,367012027,101516838,596992239,689744793,452631902,698890992,769239504,793020655,267032966,613644452,97474368,731125100,38082803,402037323,873077076,822377458,546623749,199358731,116808391,293077137,482828536,999096398,979284899,880737302,452137555,872626904,581801254,981899168,802735827,173681252,639354195,651943636,245669476,89675195,345729503,79414217,253769581,186443125,119824387,274198495,940922572,94896809,692462972,771844935,888398937,496908603,253319301,511682790,990988682,336310952,235091552,431583247,721125759,807655269,2732200,949424943,757132666,260136852,284922698,203016354,517744582,305204070,175043218,653424595,119393673,828478635,701332925,753615336,862288383,1654968,562677046,439147265,489698815,948849696,603243149,985398491,508423322,708554003,220809129,474558040,78312231,198134566,207086586,231636819,771698792,581173667,331916938,512117726,131009430,457838937,54057143,960759199,487509864,152416886,435108788,940715163,748860228,609715419,550583848,954413228,220733916,848071823,593329324,247918724,676448622,576904137,589079622,892152760,720611345,566284189,314187655,396394533,905505800,30399423,479718980,748773353,36008622,455202271,261003477,362460814,10144663,985477176,707491204,711699519,185855993,437644953,939417540,695784442,249556486,431968459,968428575,185462068,819282691,377281464,5768789,216221404,436877215,842773505,447018746,742866466,751009777,700449983,699271081,668253553,971023312,438447893,927037672,714835184,446744308,597447925,836359213,771461963,987784048,401152464,410415443,514570654,951041605,198337406,809832693,685090811,688118514,323749820,323352213,821964083,126539084,784070552,676960100,463516716,565382006,163314280,80229122,607028734,571248930,536040511,108255601,750237653,871483690,312398094,22712474,455569795,758338504,436193212,392025604,250386181,967527628,458918577,523083475,965873848,940505515,358838427,743670923,782955769,751783755,557191108,457917092,253890200,829315231,82258222,101128386,560837958,387088578,686431672,68604824,659827184,170944772,951782976,558872016,568323900,489947227,373258871,709517022,823486453,953074954,172229998,713346615,39620682,874907717,304642991,741484849,341462453,846639744,326855200,144318082,690136804,298243596,933674299,101670732,587548471,622218298,521303407,820734323,807029723,217515259,623335757,541644438,866271312,49370470,671292519,119712551,409226982,634833192,496427743,62270180,978224323,796567098,627048541,409292865,515327270,912781910,105543769,574686388,611150849,541036321,560452092,797447338,859250066,731443509,779408531,808675248,292627884,724029081,167455501,667739603,682149342,92918258,499484230,653748889,810288126,132653316,453021536,445836074,8081469,993148462,722230609,828947796,254718635,970373796,301112477,450220074,744130892,972573335,375056718,697175261,303016157,866121895,795533664,552003185,833793605,762325167,891995743,345256790,717097645,436940331,106278844,27754746,379554207,286755141,369110163,607145102,655009341,571835204,47862801,352550562,222785719,532879327,159316850,197480575,754125851,191110,83467704,56720530,252204408,678152626,254395688,212999878,973416851,161183273,766741437,156510363,790591476,260293080,36139309,443711906,944764373,745513065,878715680,587442381,925959446,467406376,699593498,436986679,472003764,571681218,573189543,301463730,91248982,149014672,297958210,599611288,710981358,781972278,413272483,986862277,15594348,980697792,163524222,278137754,226656901,271273962,931136580,401764852,144459773,50817760,792741695,878926919,242382442,84874653,998103613,749287106,273846270,920868875,356147066,372452972,929863673,70897077,858049244,136815880,649360402,37347506,378659202,695173373,821725981,362914096,187868377,467379441,566055677,334231649,511436287,52846067,654418359,321027058,359874542,355946773,148969692,815223919,675157406,286813647,336631942,944759774,18737877,70291224,238121572,338158151,83941744,884547400,111284910,993700963,200783779,811072935,21408585,147830732,988656088,576098186,600538869,853492825,165670177,570781688,481646771,69693534,650728418,688057818,732146488,360409809,112951612,58245412,525826840,955257922,271507710,985230075,386035708,992377878,301700151,454416880,329296798,616150455,44215072,730432258,834324438,284748082,597962490,954197790,640432076,776638870,131011479,952222292,637468025,56551706,94968433,843076063,129506822,977113980,667927827,444109128,521262209,534792971,330232528,519513376,350734269,413700549,950458591,53511096,244229852,283898023,424175978,587836618,370345453,883710455,503023245,105502666,422906353,205316474,610333478,967159939,740365028,981589637,99051327,961005126,448441775,579297767,783630248,894282873,196592762,356286781,198120281,893390942,712743141,283253492,265694962,442804457,577959835,674858151,703296695,190429874,155591215,690809778,838141920,346499602,392040890,255376212,435541270,739293618,360344406,183814564,509338256,320013256,885041868,455750625,399526024,628496865,494219611,265829064,655626921,414489838,733489019,186299079,678746345,385746299,86174475,321405377,636849670,832591081,494096747,584971536,339294606,723066776,88177011,102454268,242953706,744612204,271091184,343654145,186323516,133619441,161334339,94148197,820445624,449400585,638939726,681038749,458087092,523993155,940245700,759399604,791113066,681216247,264218754,935070793,497939615,472017383,563584451,96283537,136393106,632803692,67812024,626524907,130340981,663121947,527873691,58976995,160554817,681328210,73288516,848826591,418824905,633423409,225626614,545129803,343643609,319227015,381011201,578717739,683077646,834317071,885582234,457160624,614251152,566305412,359653416,919983865,677669170,775729744,588452752,412152068,263713774,449561728,251321697,758798994,472364333,13452989,215499485,427455875,733265560,555351713,897521972,52992027,425460241,312316635,430226152,866681943,562973788,51141434,22586068,718763708,798113515,693452496,163201424,97209878,638739852,32835305,928145863,940060345,122709889,279817012,23460670,628214938,795302735,153842139,969270970,284181126,475764923,260121030,352214804,559132247,565888408,36050659,429968280,999257738,197155659,399904050,814553767,719290554,128621594,271892338,897883593,937609771,496891826,727461131,963364146,423241183,536922299,388453961,544863644,623247080,438052955,820474308,975952727,919596825,167981981,128402831,847726830,708162115,247311948,700348516,418905225,26204255,412216841,14823379,426653713,805260024,189898378,564069453,875582163,872461792,534948783,708516364,397684043,318986601,636137976,131421585,393853462,367034150,331647615,126832238,810093983,480966333,608481935,498576789,883251989,894714261,634473406,651831769,331001046,264640449,286088627,53638573,540749534,353803612,112698294,37927009,116622311,253565735,445929891,651779003,918247054,943270007,206463198,746145035,823311941,27887729,843266329,425426981,807981526,735104779,808459088,895079936,161255772,740666384,83689724,666621557,709255072,499290939,304249710,547946489,93840578,867086643,22936005,777065980,659413981,733504919,15049961,237574092,68324446,603627490,805137383,222935431,519390195,7118712,945817983,260363723,825197777,456671713,158760543,520121107,810462777,780487155,723840669,120584278,888337605,749902088,483148487,365070031,302702417,962285121,912311523,101210012,712874489,6324937,841064360,696401089,633808849,405141792,692764923,484449917,195463638,459037831,389160930,776686969,747230108,770355808,685488287,326933302,851378511,193929573,673874117,9519405,581765200,990847043,467718633,53851304,332656955,814517741,11065289,171692410,123260937,941837143,32961787,986783707,931922060,250391047,86826734,198607871,488015331,158990313,35723714,864642783,789712130,30003762,233758901,169882036,845200979,522776078,948998960,531343661,354000394,863002749,946494988,531130104,941852249,497566688,570003048,46420337,134639585,950357205,981611551,942156310,923305067,889237050,544512149,183591358,190962207,892170683,77990322,124178804,712406116,868519128,297078627,56836479,874607904,717348152,214733837,205035843,587822176,591793609,153553773,167593446,429184338,513366945,709500553,983398506,143951412,199507927,815223909,891406672,810415370,613681838,733233642,115155989,184104680,383616310,281012764,294875557,991192749,979583317,919920136,352379087,781250166,539769949,149072925,576985566,484517220,961853207,356783813,382417288,54546077,805792283,153943757,156692571,436546841,503314538,352254353,28686316,339505691,656690436,994336148,886971752,846884743,810938448,155548086,859236161,614638421,839054117,413400623,636908983,510179700,652438597,228224693,337616254,972475804,468067223,968868273,482644907,575828404,704245297,778682992,597497646,77535714,408124920,209431341,48683825,455999282,126956166,857951286,6524747,565807558,353761516,156745983,312330803,45603373,955454260,163387438,149610768,131585998,921061309,502581024,330609141,911244183,415359109,843140805,664440439,754426389,491502182,846619257,618601937,247926835,186211970,718454076,116698947,767612136,695270275,218795089,758679389,896118312,979242672,429143165,21727548,469373834,326238888,684999469,881243905,675699993,66792724,917796605,354361922,606553921,826254125,587716494,227243322,278341394,149888410,408792462,855915930,294138396,500038320,552444853,958896390,629279231,473921955,353164465,750683228,413283190,559083674,973084895,350327728,324049830,819448147,72359988,311378114,957890571,262787833,761614414,110706464,373073998,978790282,243098711,208171896,677151781,309510800,376272764,886711380,926135931,603275077,837220302,389591541,378060633,436215490,21553817,595305410,663724925,360353976,333622753,22542545,485068714,519826385,523531926,358129826,390304613,830433583,206071137,724386796,290146857,535198282,8380227,47696422,218497491,56404889,267231426,69247514,357216743,243565965,362912984,302097974,436866614,575477912,861256252,512504058,956661775,250667384,829839441,867117698,759428727,45299178,950461676,760133624,306570459,307558692,290739306,435385951,795293771,966661941,616868071,24302014,147800457,449910800,493631355,106917275,69319818,744873396,51679898,414107677,859356072,467790182,344749775,382774478,933107076,604932539,869464051,712410701,498246990,515914345,978269073,394680608,440184752,482056547,249987166,250057797,875225271,132674862,365141148,49175762,7221927,612189608,136923525,142563764,328509157,98042181,377397726,921055577,264079780,226574179,588023400,935505634,322673301,722627840,560165330,659129168,880016627,645627214,820577270,560667581,267483681,820764801,748046895,630408123,71614722,578358257,321657976,504076977,180449652,158526096,710459176,610318115,343457530,817036635,478829613,349641233,967451815,989383848,632907539,679611628,3338194,57803935,954452660,372653539,797030045,955635644,441137630,965961460,709443093,288706950,962942616,79950283,341912091,680949768,805490642,272381045,89937128,564716647,864523334,863805192,972096452,678411219,66700733,607362203,228937879,180424789,311759649,783908559,353669394,974243195,605926888,167478142,561509326,158672140,565852180,543181455,259775499,518917978,92076061,453404582,22868202,678276012,559889638,479069929,464079299,871916070,256306432,471642455,226515558,769749762,538992818,103320420,593766215,906398784,697985055,931366105,260798596,765143089,961598039,663855021,991893818,205290608,151591441,547396930,661706823,532857877,800640210,201889559,929291626,857862514,942492710,555984106,598315703,765180319,174207982,54275227,503319496,566826387,732979842,31922859,25145329,999226186,447509733,390038315,123022592,632407090,876605201,778160774,86840969,340259980,523294054,266388962,499941941,448975754,651064339,587772257,185725032,305084357,85250685,484949577,964245830,787789559,928053917,242053520,388249720,102628387,347878240,982166799,330734777,292715402,691526137,720503407,159918307,4407442,778116019,736579081,788307779,278349816,299268242,157574211,683883859,404259787,364893645,9262794,558861477,366413488,294968259,546567397,568316916,752955466,855589734,885622077,840188739,576149977,280373544,527814903,886747847,443911945,12591466,979237229,257895713,120115109,611773736,476983738,829713323,437582839,700679911,518547936,718827144,537229440,393638791,819224799,650292954,105780307,850882155,144012597,988196512,951068196,124493438,155828004,223784170,534685032,335006116,119938264,894275994,590348912,34028063,68771942,281446282,750644859,859898946,471600008,92139735,755329289,487562531,331165104,691224782,94181281,574549795,446513034,856151505,172785387,709643754,806729602,471942916,926914984,773707072,67647299,819961677,510633383,647192410,306849447,72017865,345582441,914334787,319630859,19611860,862620217,445542396,99610393,9584732,367397851,747629700,912645785,782699626,326694003,660728684,319415528,17961446,678383108,61117671,349815823,183473684,661239726,765695347,512036986,392073687,936652365,10258403,913414994,140857443,640638148,411681631,569475030,212125992,316498943,318434193,523393740,584520776,998261838,275215604,610681382,720355946,219803192,413630367,798351669,741201366,777010579,499729238,383014402,420256483,291190137,322709428,576523215,338330540,969112457,187570124,70624011,68754182,672642514,175462387,114130517,460481977,538155182,892476757,418942814,872162277,213338544,337612432,904111113,519436940,342138634,118928233,123211100,90401757,617911172,562391218,889318354,124529263,495787172,638348305,886817805,569199910,485634095,848778720,109676494,920904932,629403753,113659237,116009117,654948905,645376055,414065528,461555242,527755856,920228357,330126005,172218060,483888817,90933081,375189159,310669680,792975986,870455538,251296201,188117655,633906507,80854410,562817629,595648184,416280287,533990561,868919398,316506709,532026510,298172470,625711757,611015370,138512091,12922031,668284073,913973564,929482649,103126621,239042365,986127464,97603766,884777015,496925023,581246321,337819543,215377505,120046570,825822370,832541694,693701382,94341939,935011056,689904122,235637587,406755694,81205847,328232013,153801359,427246432,304310472,38374749,850938412,776822150,720803158,217620076,276514970,150283306,770847527,81722556,154630249,931381766,925022950,413339339,716346794,472543677,533092116,644316733,734058919,656550714,563990490,787322078,913116296,77197605,587827661,784822554,623366377,939706739,245066760,980124616,257233308,689684639,667833759,367443466,579661218,406536593,560577092,773313222,800070907,799646415,154722619,356956677,582613933,14382394,331759619,875798556,966140758,931952982,164483357,769483928,282788883,645847897,379792202,518539476,215392706,740769641,76679710,282623998,363459544,850964692,686278613,283820867,554381667,287546368,381719729,373129007,590348881,669047227,792415111,135177134,683494911,2136992,972783594,682411018,95346748,844301845,693796617,723292386,199963606,16526311,410100231,246296903,942164630,950362620,18712061,952120107,418433108,406189598,338650425,207546422,427740052,195818393,511955507,862151364,571863570,880263403,681251699,996909766,712916363,651284464,381988296,505753320,79823272,256222931,290160337,661435591,292126572,496017691,402809231,571584390,678369638,607833062,643773284,100761655,56163405,94522504,839203721,81034118,732983868,176955481,216150313,657456685,80589685,864318871,812199476,486604001,906545355,450774593,467401755,205830621,775207394,458626206,723722515,143041049,35114061,580456074,298070358,628798255,466478016,130891594,179776469,873259073,186697368,481652319,153287709,762914721,657292678,110375727,115164071,303502894,57287155,235298525,553820179,99256638,862305549,59180551,652546607,541082436,697271936,205243477,425669452,525726997,596910157,55611534,467420068,484651436,253721921,114035116,492457754,108493904,7305627,24106459,718958412,888307390,482954269,739442668,723820783,972076104,453116420,527243006,672329138,261219588,988187082,692172139,683243361,359994922,446341409,34730512,513051257,549004992,875407441,339475888,801978917,341913072,352032824,73045462,788143941,486806907,941207758,704466288,961300646,615117414,457455664,307748117,662071893,681399497,884371865,811984687,490101097,639878390,776156711,30933800,734355766,49832018,21553567,494787326,518872501,588652671,983971993,557308620,772727782,172776052,436625251,792626344,812399963,436225778,545922646,288019242,909659552,683990603,181957621,71708368,701403686,39788369,354644587,239947505,850151930,559408927,208751774,267518467,130976581,528258771,630843052,224250644,80358985,930100659,812714860,878438919,764846926,902537298,791516676,921897788,966461607,980354211,14741077,582690108,762726440,802931766,632907183,28469309,167463751,738558818,41149020,99348568,866093586,614408536,24104620,338348521,48427151,262170212,551573846,886543808,984129027,563658956,739251594,863604404,487838126,248838626,779830378,682961964,916562779,955560284,900325568,664607494,482503806,263463112,289806901,582499696,798157342,659860507,620710361,936303085,662932607,188614683,891858757,165614760,366850729,984664468,267661679,141881376,922523934,682894967,473632549,904459684,872326084,183075629,423123883,877288855,172003090,440448080,950794820,387857036,278163054,472637823,901824589,726975016,720036600,166240653,923302162,319580533,596306679,228036778,640870425,441026158,907699090,394462675,449037853,247866276,674405405,893516684,299087375,87721130,38054049,904233468,131186639,123857708,370170186,344537991,935149775,955633829,21999150,544822001,336098034,791968,222850775,664573907,671406800,650644822,624821321,938638689,317501504,93437412,756288866,278335803,909598407,39975067,258994972,933841135,674873967,465081292,174638121,646906895,505547010,668563309,558420199,995225341,20985172,41349614,496798587,584219798,335521128,605527342,663245372,125415394,168619762,997267443,490625272,855214493,998394747,597156032,777221429,541754532,225342305,881154796,637091365,509500954,679382043,412009765,646899645,276283736,881671311,264922912,763488988,668927793,69172732,85477745,873580884,258604031,106906998,192681507,902446708,357272778,146919579,185735589,950058535,653675656,78499060,287665972,466592532,321113820,14918203,900492232,366803924,858496276,199454832,416508219,674941272,502177710,565107217,776372522,937637961,426627269,286083577,910453801,879458000,980962192,752531195,148885466,808249430,268302465,882028305,116246489,235335348,535188395,245014809,519385307,943717922,171225450,364427323,610312247,236720240,826629251,669292792,986093700,669216263,862269858,400897320,812023189,746811695,107960223,232285054,835761991,691140534,582225403,330780571,519658877,996344573,938573311,223953098,68659660,741740498,84523998,76473253,618535018,461634778,224291426,5940777,2209975,175691483,935735634,184413706,227320909,651173203,675093616,906126877,123463684,927812281,183640699,621695948,41260416,243988536,308119346,545672418,274719937,649943810,938471446,165015341,759269150,786324433,806537412,287536065,679695153,27677199,350332333,993613511,341942147,404930292,453985639,410537098,414719146,767107114,604078145,271194973,122155184,354368128,328086493,566273160,154937574,312551762,824867586,256511252,537055020,224670644,545790786,887824585,325840333,822797125,415543330,798702452,263860454,137411294,654572426,805271771,789788500,853249358,490343154,174580068,263277734,91792123,536858743,305934676,614536272,21735800,159046937,219952759,755245887,81582599,39474638,605073366,430231552,4537200,133287322,342412261,819069700,946843442,769630791,824921732,942693538,929994947,709505547,99946370,280394621,636055305,83426434,73386901,43974340,301229731,348032866,683283990,792067975,660035720,301439973,882417521,263532712,252582246,415834826,814869679,444470364,192660594,200194773,155917154,614048777,611072455,510328931,928285363,155911966,181789298,835248707,843602935,111209509,91012326,229683503,874416991,994623076,970498645,82404829,857781682,279764694,668911290,741130356,771839362,410927327,475595896,412909510,415407331,131879523,232845576,784004936,895206179,428529337,605485852,98737270,233281582,741576458,250221547,893690403,481079345,674263597,610176110,446606868,343164094,780632186,489557069,202248000,608914861,210384338,881333593,820608649,451193413,988795643,844576626,198234264,358468755,436796374,498152287,255467900,195734649,954184502,78596582,18369038,675796871,457729788,527331512,340265355,640161110,213741627,347376402,851426855,528827279,425849713,932705314,977065711,925446077,748008011,467472080,291514379,737341205,610389146,684435964,820693111,805908942,892710075,860163435,663339260,694001210,354596550,711023656,386261855,82972429,174108457,498352664,102485967,721835688,704424385,559135913,483849819,277956217,191278523,106466567,143695536,177164952,315304036,495156183,138215018,159543646,960663106,493036428,379780158,711547258,156599965,66294435,778763249,832138239,483022276,725965812,743351035,873347963,562634883,976641104,383669663,32339698,784727473,37742842,660689000,715929919,399474929,104312692,813353169,749138248,285400362,743295569,498606573,786916566,295437818,441338104,947674071,109442851,405626092,18345461,56061814,779214307,486140549,649668556,4098618,375331443,172899058,921789840,24348643,790324683,263383076,190155165,390979112,668922470,183526475,425830776,249650602,660949413,329674226,271581477,368724504,156218924,768246373,894281129,818389753,803078932,63488081,109713907,540595626,313142350,217560277,808537809,956409480,52070499,594825299,940581562,217446044,663847115,142919138,508143660,629432383,306190261,554267278,90312904,762193559,303827283,482080459,762736262,519214376,13009024,663398399,369416678,288577945,506003829,672454760,304269823,603849592,454130773,890929387,741085335,410580120,305084350,244753041,42711220,7180416,699907821,126631605,631008989,497252930,912400023,285043421,364097786,909741435,537788243,625141971,46705573,509880524,395860786,291662337,754546015,702284439,349096291,164382881,569660269,330392023,82898695,921738751,52697231,301372899,362059644,97827412,894383914,854812602,531556924,895887297,217497972,347757694,207613017,45761566,287340801,656976937,782474080,217718072,767168402,125217402,867480189,502474358,745404887,312222704,857847846,626480596,201816938,91037811,771020367,271153286,910336763,717802864,300075436,92816318,745890115,32765160,606166679,933971761,714994807,227242726,978364673,975922931,695243832,872804502,652947256,585880832,292584863,195257712,108132747,396424928,338151174,140230878,466974954,638582661,261435776,734339394,810738994,45000950,45307592,901926567,754377514,896860320,730316268,415807449,419263561,38073310,931794880,231021484,747950505,28637925,149658248,44504199,469290750,452206199,445931457,678906679,713681286,468098897,112475442,39155998,806968017,576981052,242279728,807633665,502239145,369417052,59447436,544823193,932016280,318020529,24749070,724509429,441323437,145190319,516268817,925048926,234575422,888009392,938944141,590550581,417878389,272305549,596720572,395521184,43028012,240122162,96683962,424729184,718756805,3199235,71333802,2260850,434482574,692469904,632674521,215445342,826830245,392400827,937920059,671816256,702556936,905195859,395085192,975138548,768604555,243014118,377155345,217013998,337803726,351553252,122578293,189822324,434298345,945214574,285777998,692416920,815933536,303518868,227537214,85577558,831528138,970515065,887628555,151712495,809708486,842457630,291881262,638671516,699902701,727472306,151606175,770032454,226963869,458415542,463517127,369568533,734316179,891115443,312898364,129217343,380255813,695790256,319627995,806049511,662099051,466183258,699991422,405141323,796070035,349543269,924321829,620059119,356657026,968587533,949762128,818762840,6337730,972788532,440447728,187753349,939005264,899381828,835587516,853138994,312120574,645085673,685620175,512218446,881241152,943583188,102073392,210669929,454192886,546470127,370061341,623489716,190356855,414713596,754664957,205268792,379961779,788323627,930202542,67338965,116156519,922392616,435853776,447243127,732688405,822428704,517631230,529133453,72395627,760620745,707719754,838562303,779656155,906075480,242779061,444448208,350000379,485386296,895807793,563220969,252416092,523830907,802784124,739680610,347218594,520027605,74656724,575392727,933534838,981293874,854708059,180389356,322974446,669573715,861156718,462012091,519456752,147118465,259546974,748128945,601184336,463518309,742007655,272266179,10667670,282988511,660415545,817636130,199180281,62077546,63663864,346528765,196749137,831786705,61192478,58554971,954367555,747105718,864316913,847807520,690616096,580347474,31288564,162861713,902201923,319830556,837629279,909537135,231080615,791933549,170394153,810627676,140600862,975194198,29913354,191004549,937110092,446563737,43630185,38050114,727844671,723189475,355664237,853758097,760708051,217174157,865927248,441220085,315691446,654690387,685062010,443482590,231756653,115465725,426955492,734511978,415049251,201590340,636530431,252051877,517528500,29837650,49783845,121238094,760011423,295618020,533822196,103292796,903714411,106145255,30367295,1364772,149273709,538774480,219400184,237644840,738187261,987837103,810873676,849949322,132557319,838074879,136929604,263490973,549700068,540089613,754181559,875555594,144183097,980019417,845657666,300979606,618766607,98416556,215958832,118402300,390606945,269796657,709330396,429680974,540503080,212202315,168278309,492224747,26553863,395495556,90167681,841319733,478550428,24242652,336549942,208047428,531085360,30697369,686982744,757998699,986923831,699766215,807483054,141019169,90368320,234683498,351464962,939459187,52856887,858573721,295763424,151223445,340693047,683997022,905644219,762139432,666885723,183895807,376828800,584124808,769312216,724698119,429038989,90018145,89098985,746118195,762461323,669816796,808929527,821214703,271671230,163840837,138354672,980331144,467927936,198769649,532486122,49122062,805533869,106478519,445992957,555837008,832519260,751287523,188174366,235900164,730436717,354043538,611759744,457926378,476021725,808848434,237722595,511618308,430785860,245224980,437741919,614376753,384953685,709729527,811122008,505425023,408164069,753800608,470906530,851338320,645504337,599706892,343713536,132686920,415065369,740126906,497194201,549479651,863266238,203106604,541960676,725983545,410464722,895396356,744558290,438552731,768176778,841523385,328735457,631045672,996711193,282922097,157547040,160772732,27950908,839951487,655769260,307052633,330023700,362701812,539310933,605132407,414288056,666395258,32623038,135894179,956840338,129816640,97400853,639169803,205282943,557646660,729148300,306940629,459876123,744028783,158410455,957540698,843177929,160066314,103031222,797773137,770923959,794551091,402319613,131232606,275298909,818545054,644228326,629899279,535409524,300910105,188447951,73496615,312009879,47765845,958621762,734392011,188304467,183341252,577659863,696826295,357402089,228770942,536625337,624338675,863372747,749915500,964970660,827542431,219439383,142986799,269744924,252843828,952376114,17855101,14540396,620995798,206599715,484202845,514309373,860197007,209769738,404520364,89149500,318770122,831859011,319625507,907709834,929304466,172289047,933000907,48088197,295190770,151750399,698442032,54179648,907425796,629912977,764963258,402963478,125723896,320669803,308212996,98806838,183768739,850529323,912065397,833576654,609702843,482255166,703250283,867825057,598425463,677346492,124961507,565848670,445337482,770393256,931579153,11610833,467405358,414485199,876448045,897080713,771216500,920775009,819484460,955077101,694091063,210805042,729813229,317290635,562162239,275812975,957532434,88348850,300391336,778587056,68681967,263627047,194029181,957921776,376032848,165222388,673472835,925358023,783151335,469760361,741455933,78073347,331001193,166190253,239505676,540621646,780685540,661411823,62429992,321639543,941227315,838225736,308686485,194115382,492979850,440127445,268848647,685371525,350174059,569350211,147073260,475617558,577885054,746703285,606107851,468736170,345594965,334166237,721121062,180308884,168254578,85490032,586891010,245153679,501848714,355485128,129706123,966700628,755289411,477792573,51883673,424960540,910889461,9695931,989026658,13759332,398503737,145731744,356830852,288727112,106591525,544777651,830974685,958081454,92846971,307716505,1122365,506198036,222702619,848566638,704315534,998119593,375340888,339529846,469598872,950299856,297638170,810432399,396501749,762651007,251975889,840855859,602269450,406064833,258437677,299089393,98992356,800427056,113362473,269931961,87130824,271746729,43141142,489233675,462961641,848803761,431772135,192484789,289752689,67362721,464363464,557660852,50823445,891575924,546325975,735431282,390508346,500717824,839723784,636085180,427197642,154411479,875470076,931215830,63994856,16899506,997012016,232689928,897179920,513793771,311425315,887003569,679187508,464242903,52119742,852496977,102997921,21956903,811297887,845808774,835970030,929595715,625691394,739437142,901567416,580172705,35910292,443428090,66937583,141754336,387760784,125820298,762487296,851797159,268636259,190732944,152837131,824281655,883186091,518705697,40895700,346123043,225327740,382318548,507661992,46307416,210032917,226375511,318140275,392574064,200838021,273466996,109160709,37303990,19170283,804642947,34224680,842518778,379185682,974288172,522391639,933345877,742200908,817227156,680735934,261457825,72340153,998228265,440471203,302386338,606448452,797470722,138163875,925201326,267177551,229744423,812099836,989741941,171814608,580356940,537711440,659448335,927897073,958512978,201236064,147553147,77022046,326823972,829529292,944457989,717636033,455738859,380750578,581606584,390344570,147964209,336930463,232195618,696704609,586970284,445591096,232615249,670650903,652245077,919744701,94779404,408657952,677980170,450611637,708318360,951896001,791125802,190241256,594946089,573411353,28281389,891573419,499017337,779769593,143818247,210535452,46597977,75081417,238287161,764954573,608978862,866644590,693742498,880760441,279565411,301143691,77417693,827002622,663146963,346542562,305129228,842674699,968860650,569364830,842324123,672564954,248526309,235883487,494366532,736548032,609558639,183669090,420768787,517101427,491494086,862168791,917819711,95976372,354177508,267773922,764338908,614699510,149336788,845697621,176409562,621121373,607335077,395908920,765421529,310200836,668501080,945690112,832374729,950134304,315767630,137846269,229036203,571093119,882236442,417892739,207182376,348345362,125791757,347900298,219511455,649456346,383288225,581730659,833016385,667137693,887539256,558607846,568329572,467837252,637772766,70959129,857560501,475377314,504640992,765168677,315428815,812297758,530935670,583651825,104216283,304840761,699441770,453046142,561839844,690160073,857750195,493196532,883742649,683942490,683977010,131618398,357117004,106480792,77372076,326919194,549861423,834618987,905821494,353637235,518163439,187349396,907580690,402278904,298189980,93522494,375607004,186778280,817451454,61469590,218089315,221933657,625433088,103228171,79394522,203543741,149899246,678978840,931771201,720204355,147526291,870538013,623792465,908449376,410412112,389430817,506263684,544015517,592988747,305887041,585706960,15375188,808478634,430780510,50020144,654673863,225516586,238308610,521417147,24132553,51477345,878332896,531133291,419675209,938460383,697449252,484488907,771916424,172638034,86248041,952090243,7331047,240898572,355486707,579380063,327393828,21649059,840250798,160490193,9534382,176724635,220038298,716012288,360771567,258603305,453681382,202258182,751217713,861587917,878714956,967653405,385456855,319205917,130179888,183291346,188871693,794921068,177896855,910931488,233122524,57036327,919308611,831518991,70800999,674140457,454005360,839196108,348756059,77410248,144781812,496822173,742340833,410547755,432295600,340696016,383137870,656652402,366479878,593777147,799262747,165752850,373680804,134879441,909195480,481487733,870628466,136289853,622086716,593855566,44947374,745125257,701563402,810394404,191315688,872059089,9727702,11357346,654960664,342918908,144119586,958133617,847678102,899058957,908101698,128144042,790019702,649700441,898836906,832403948,264982871,150473044,165141087,735105803,525359968,422953172,231666363,636695002,616901869,886705447,828547271,90687584,992927470,996542641,225889349,222587693,698307677,26140986,784250216,267233503,60936214,410743698,449066409,903325856,322827976,792800245,881096689,918297828,542550835,698614673,451396308,368997572,979158492,589721370,440079381,939945862,293388177,476175676,989150567,543950449,769356492,121842361,538697859,995490307,427815317,626509600,275806743,434144640,262728736,32190587,854499567,472762127,963005240,914738084,287317604,573638192,421131499,381157205,230431737,275458860,150187491,204953565,304577882,631267136,187877068,945933055,477662364,134988972,907446580,592200622,311569364,357738776,998623491,983082280,968903061,611072664,205347207,580654246,835532914,589687497,909449096,20935542,457217198,491698089,202644816,81077389,846973073,273357079,207721218,257001127,958703733,106043656,538495542,511145655,962692982,352127529,93580435,692376431,668737940,183941612,49837630,731315857,197168843,352144845,506513021,503970341,224321945,46322820,963806490,536977711,612105759,537965413,38847259,113237891,512058976,547417325,743719640,929095934,131732406,847518246,937086742,973674223,601243405,810918792,813304598,739884018,49147964,54945803,125374840,583267566,764334094,962367191,708121561,916580948,247330993,640680661,94566748,96817957,233780747,410653224,864494569,364301213,83012652,517205672,426144724,212009812,718984621,573491999,864288807,774435881,418043501,287830170,122813150,399080832,561893134,810433325,624437637,43683655,920990410,761588457,5929915,501999378,837240346,116915600,470698717,885786007,749873332,696670459,197112293,704696980,428337317,688353983,181536967,924343916,18148356,974079903,981877249,143865689,254451039,905101152,743353007,662270743,54184521,71484722,686192837,400502772,431527031,647327973,903585676,752160660,303737394,545602734,978829849,243036636,921334221,982753833,452962424,793957994,130125913,553293190,114555372,624677572,810816862,198197982,474192133,798324399,237709423,349588652,279645383,913382256,71293937,440776795,992449482,681254016,247035043,621853349,237982138,370190824,565326974,816124993,991280932,247745035,389207750,973675204,142201632,596953568,409235322,786971959,567248154,797398862,748126685,492029607,869849088,103832552,982925401,388236036,700802252,462722249,295764793,432156440,87252336,978404917,279644149,52128006,233727008,116818673,21323443,335148942,340493116,755880468,236384079,363304394,159830449,458480617,483437198,795262405,261379825,321947057,659316571,924108959,207112692,580339413,685070536,904497780,817661563,942928916,518970302,610943286,388326967,248039767,606645385,405797780,218260718,569245356,838890325,862448791,420055193,889929622,312556153,715530133,157093240,211748696,870394365,278754193,57780127,867919930,725175898,446198986,482739813,224731710,326021778,712239752,874418387,819849946,349634452,371363868,15068087,292631152,46655874,884191712,808233795,882686212,880101290,948485162,436484433,344867116,919340761,45964043,494048203,242916101,898185085,990289696,895636314,335728325,639764796,178451461,387738245,939112765,405638860,260160649,334422926,787792314,734060715,716446050,387822203,352728343,707267841,472565511,646748158,408502436,402524172,909809065,337739192,149433203,629518512,364350079,906067810,301316119,22519887,609076862,329318412,222903723,192319192,561612654,657010639,872713229,259792888,368383239,469139659,770838847,527292355,546492521,249814918,412359095,418304604,145124018,184897588,759362067,424173623,803811158,438884343,793227300,911562664,128773676,88075407,256080858,337733147,405375826,952302343,465453117,637453413,59522115,953710956,178223073,509201999,384796276,340827312,724033228,648398647,764749989,7691524,268883614,726200738,790363458,163234576,980932739,485347221,9501766,884406147,679921443,246739651,864324046,601842621,612545934,744645769,668811877,687625126,306131768,649445217,121694244,466249364,564974407,865997,638040307,559768020,306105440,291987153,978801326,342907459,372230598,348626476,294771142,89609539,410134279,236854449,384997951,157190076,54676408,543322515,379564305,206424112,218880549,657175320,90879541,631032936,868144783,415867004,577701991,897638201,861996781,424167318,246924552,269515001,339967367,817477559,195962604,61088570,459617793,555383826,161591582,914620268,719753943,299952796,721756184,663735613,767545275,497076058,995891990,940544546,642951002,19187792,539846558,747738362,304318150,109603633,328643822,6334334,454304234,620333433,958482083,829335015,543987775,942221641,65395104,809243864,32171646,848375333,52937571,561600628,713140960,104705326,840947407,77380374,421187709,257725900,630497594,109155437,13496256,7027641,847261075,469542354,482691327,541271750,643965167,212614188,740096501,724492318,951706084,255081134,997385736,170225504,195701050,826798081,897334106,924983957,531672707,500622748,193127076,923378497,489452936,190324202,885820526,123951688,572354792,230851608,454458933,103945799,19742192,225004856,754154749,668052526,447030515,458330384,204481567,742389942,475271841,799303958,967803038,123797891,937499720,598346441,934679920,492158691,560166987,484065126,251261078,861848615,927437178,58879008,365326610,239587810,969217903,208273084,889677732,327784389,476776332,743915838,893909537,579898947,436375113,163303483,351473046,858210984,975315604,918199619,322451666,401522381,328592514,569206933,681160030,517443431,647701337,126973372,365607183,275640930,603949359,272137161,137510109,134932725,729714695,303929323,714754886,797200648,773618260,749945903,346065709,916592688,848750809,858966919,746524649,220689568,379391878,209067542,586271650,646667800,674592007,164279989,925683817,664992378,587397964,556434936,984841000,950674472,817766443,127469420,170271031,445905382,24857217,58497020,858941753,21622432,739312450,866449283,696756995,957443137,359831477,39971710,276757105,721984151,805619895,692758397,703520476,502005674,830858704,568269083,240705675,26528451,562047714,762514850,224407111,625974702,57551794,851179568,442769118,828423142,126792011,65476375,737862463,452679994,804524025,97871468,772627534,143168647,681467550,753035439,178165489,37360048,141895120,69731650,387557439,953699554,365006433,4503937,117605657,128785937,764486238,373121517,366856764,266018339,12016910,57727480,949875823,60109248,937049558,356253387,655275280,148809862,770690965,599682049,959473274,640470859,96853455,343031827,938464324,184510900,396137157,85852136,818576117,18251312,745146817,797642866,959556096,64472827,295270067,400169634,610269567,935059624,178623337,788406711,779053261,887261374,842013365,167741105,186406966,315749591,666111826,788478927,544039460,271477857,780662713,155344262,758375995,699862908,581282717,147218367,716305014,959760997,926389988,929140846,392260406,68564114,15825844,551604500,264952869,776423136,727025160,75302401,298275570,725561276,111046068,158784883,455990605,832648632,192202949,828447853,126706611,218106264,872605949,981107668,788355609,781408364,215710836,931500942,777902065,944123306,761466686,769152492,625340031,352697681,146353908,779967552,555346655,501672712,700310870,888767711,304734439,978808424,839072937,413472761,821354395,433881588,557823424,466618555,628216666,505991582,304676025,778786881,606553737,435243067,230748972,975558835,274478523,273993377,381162478,906447076,874876543,449969735,975508495,221438406,678510554,457659814,348078205,961096661,386484980,661822316,849950842,92610978,988451749,119981822,442173268,107755934,664577333,315719330,584239568,712964785,100526588,702342986,536630276,485135363,426830120,618965641,243833435,903227304,680776349,660440213,592199426,161167338,882776716,877711831,217127295,431054338,322253183,542353710,788729975,259116528,414216552,67096084,803873586,102400143,844823147,894421320,514914512,750703452,355734805,849089321,206337560,285208440,980480103,29617520,720066038,381188055,494950789,921521495,773068380,750932270,260692880,700345056,621474986,782054060,218288008,461612318,406649063,747050581,183844806,324438875,487052918,353976719,532415919,442308979,623743307,867511372,114428454,249870323,978869848,734637023,821028611,953570227,403176789,660798578,659155050,23398762,458817254,778699758,533556307,784276353,104105705,101949013,62024764,144794709,57260185,135650117,306616028,502850188,920929728,129182216,531306083,66315988,508927804,618669674,995812656,174302636,44606659,564933554,712279812,870487766,468889845,477207091,374364754,917457041,193305922,482477177,460046275,958480065,924161715,53591722,686803660,592435648,334938437,848928216,860114560,895465398,388239620,424655699,405496470,848272851,59905340,199838852,306193026,919210633,43961359,611583473,885169439,88403258,650286809,307424617,286341211,195467346,696715099,341904601,936452287,256546332,621395517,617004720,156668623,180086627,617438043,975296934,203993633,447743213,954330356,675295980,151960512,213292344,862418574,338012598,499325895,312526834,128071257,821086891,840542934,418114893,385213295,622400142,506309419,959054169,941816955,621327568,225500220,637699723,191162819,668110916,820889868,732556544,159051300,136828892,112537982,1049591,226275921,569103682,631937958,221578466,792940384,511107925,94485838,595070749,4051397,600148491,974500342,217343604,742708990,21287671,718505937,186820208,844995109,347071681,967262711,962649898,880825407,414576718,402377796,785932603,871309443,954355569,984224236,620816823,60617627,309980989,466180849,784383663,824074745,433464929,762322753,132380813,293653208,779334338,380711669,736277422,520751184,778899273,435323494,374886812,802486854,537043093,198905466,21874450,299538696,884026010,730893542,549421630,911845655,21152504,668061596,98145981,456789519,537043877,384027312,669336959,155717032,520203384,811119976,185775413,707556582,799094231,79431578,974708331,260917224,743201808,574780871,5437542,237597653,276254756,289631444,371812601,103331403,803140243,381018792,607726771,224139194,731267007,637708238,497652408,658315640,51634200,130593890,664242238,602060321,630844718,353864997,579353069,100958297,677081430,279274768,273432432,778443025,604093941,241580638,123730917,464271532,181067248,604121535,22599994,754842329,931573915,218416559,803372107,859774763,193105272,764926510,185821439,891598028,268046324,875369656,776429459,613845821,537186713,724752047,314656705,493388312,8905743,602833968,317692811,747473099,955896338,294146083,403868251,915107609,973038955,362418666,415354546,815690291,880179391,186539843,459769167,247473741,610701359,831437228,301347713,191768750,110338729,909369128,755811465,264836516,161390554,667072699,25813167,94636033,153191439,138894764,290790843,944438890,178643569,733867365,722419305,540404350,625423067,220047260,597117590,210317285,218923363,596091985,495879607,838793463,931495532,150388087,80243195,567796458,233306825,836982172,390360891,509155105,189817312,648698670,107729866,688106166,177214180,816403263,289510864,483807502,797552663,615971149,849654771,366485819,116456478,558071273,288813945,276976725,386736390,606527089,164856560,632808075,188015630,464508152,332711203,887227350,18839165,535439306,251897815,989127341,511527393,666874554,528822371,923493584,812481270,888467761,349320130,641253874,225338867,669170361,101434501,835231909,542424022,582407262,24999951,649075563,774735650,398377246,12444859,254060160,248832777,799973175,880318784,121940336,899314435,996693628,344609321,450585720,334158157,914454248,553638021,175336613,169342321,406594046,754739644,719640390,686926181,12653286,443331116,951328723,682068013,344763484,91563703,132505775,588088306,39910723,642605663,336668320,671166180,194126121,545792429,427178670,113603170,788452941,846221591,366830206,823282557,416713030,794552248,655075304,762714669,664025349,648690244,447010650,480311427,814404251,551314622,652970459,160818817,602778793,810757979,981892289,585355713,291223659,512020549,783357923,997942154,428297153,719113687,354020740,799818940,711319465,769221102,333389329,988537082,535653376,692061719,916965284,926271918,455134176,346554337,150825737,642110139,813968234,990079920,309972914,525666570,597789529,555873158,361477517,84750527,53958534,97004562,129194641,407863504,421317610,882816221,311060780,377498439,528887312,154987413,728801668,879930164,152261073,696851005,797224722,485830967,206899034,11096761,544671870,679066320,728305965,897208518,61373589,687793406,342303329,505587565,465939166,364388972,994693045,348979502,317656066,441605598,691909307,555700080,589685958,613943657,121529867,460592831,773356650,934048964,448827760,60533702,424619305,863919174,566484608,284281721,516926078,156977383,612086608,326466502,861994200,197325612,307643621,672737134,721959868,986586649,51345927,13845429,813200704,283897605,641764882,74808605,636557748,132251089,999452299,693022041,828291602,165397557,643720680,196265477,710651969,578424128,705982219,775725723,113934936,448194891,317404991,902347115,355602135,441996159,117784421,608223092,42907799,583903579,98987109,196196859,688686805,203778743,617713405,416882988,690269196,863160343,489851548,572206025,751735062,642024234,831564942,849060480,143571670,182367099,686044101,250974424,997578209,49936750,701899265,748501921,663697102,424516478,253173287,380219773,874829943,328857099,8285295,645860944,601054489,535816651,490966589,837717487,739348292,780090507,741211562,838968349,490779681,213074648,534309005,602571237,680364669,74048724,652852467,156110737,396305226,120520332,573322189,553152379,460866485,997855802,915198829,906335111,972661162,606172666,103219447,193012432,566448223,705351327,579582611,279387768,956908241,548837386,960540956,457195820,61880891,129822773,890541033,729212946,40754628,498962213,518054458,187940764,974939618,40003675,379003324,669598291,828413076,735721619,68303580,161112975,962782957,805641333,761336413,597615160,246918620,672546122,541026720,300682168,282160339,504023092,819141190,803916780,185897413,234570134,586760222,973680801,891627255,977399625,701474008,80010761,223723702,276498347,427904166,384264781,435998967,429361665,189364543,105078895,968728656,222634353,568562898,548943639,780498355,717133325,415809469,100938973,362222048,57846075,343860192,929811642,715435242,867758175,317219671,963108024,930237044,722607469,646486903,623859000,923185547,610007757,237695957,568169033,686443366,331100054,482667617,902446397,471781358,420369246,63074917,803586196,276458524,96401471,613183697,75405555,816679253,34033402,823839212,431906199,976388635,732890855,984399007,917231263,870395574,310782198,31255985,568809609,659279120,992192259,570259363,821312516,446391583,765023793,440540219,614113763,797605388,955129382,771128241,251331255,459215269,571153529,845407564,668809571,391894495,939989868,794605374,298588192,342844815,136471262,611057424,10567368,853074887,661334513,361997341,76642646,326278249,424623068,310946525,872621620,345678837,840443269,251072177,998820581,74761154,376172352,165438335,205372471,947599248,594933599,323892786,110732312,934107551,755117712,684497106,332373521,966460779,959572111,376923176,168339182,157030501,692569008,356101832,444559752,701815442,999471023,83565487,552090671,231321574,973431675,106109794,389400557,978698842,575607457,333737342,518132327,421729486,489038833,800984012,851467040,289850681,2682046,768423857,879851517,378041509,327844750,371449108,182527083,535692937,170519470,213085981,438011762,146947965,832195994,757421902,294421857,146126972,665235827,332067741,608291245,71328629,104646507,908591538,240888983,449158073,721236605,213422194,264741975,12517408,742671332,45335208,152731904,541058897,309049783,31396934,308027326,446545631,287434876,894977433,879788724,134719042,924012622,183152278,479093175,142163347,697879092,226906144,893587031,182236184,691837785,646137529,585729178,655647302,217892129,372930950,978137315,34075700,899703080,388196861,315124381,326639639,876783181,736765908,934713990,56939417,723242578,664513107,167427437,715163748,510395040,363679724,326906178,403370801,644422044,796901191,446619533,891551502,355243781,639385994,593289507,216185604,951084061,845477582,221726010,542406670,484382801,352547884,369977233,978332185,67723407,181749415,715553377,369563763,364179984,62953923,149875435,729696288,461254477,142360306,995619786,128180158,45633921,711421157,12087500,38438450,953855183,269043835,989531959,197820113,581648986,580094700,279163473,20699517,319853982,170047027,766433520,600661870,342345627,555334845,907320281,612455656,222629662,324093245,793628597,401682571,452110779,839989854,925348758,612137187,907251748,945027389,457695133,698431960,454882839,920749327,121987979,145731689,742812067,901273200,377318696,445308584,654769159,971819270,950650498,841968317,198460939,907641004,118688991,663503198,336998394,906547676,927912941,104319635,322877796,701957861,285566221,296144828,205096694,769888362,666307110,821293422,111440834,572393343,697502000,49292291,56557194,421528945,23557997,790716518,862547671,12061898,935935100,165797170,529281400,389258416,924981975,134850389,264415526,780895323,380762735,414566725,120808470,250028124,878314481,280482046,604790169,35510675,215776754,87741477,187611631,531541918,190986471,244058796,531056196,931320782,5046418,435237574,198775258,493050179,255357929,8254578,586374550,64450647,798861546,30605413,961788412,452796185,438925542,797651112,517067610,375573359,903626820,332024983,598418413,721557877,134648850,142294315,409380821,71077676,687771565,238727977,205906346,251878111,693286740,477311361,642216487,204328101,378809136,135698332,501293958,999858669,756195399,951795192,659802489,573216290,154277792,378515086,45234371,986077772,928260284,286327693,247705055,972436019,933803126,225839632,672394262,59244389,538566909,342152601,360604800,244575393,309412647,58016929,155510656,904633120,885103746,636008381,682853015,131878307,574863962,381327427,783937115,3073240,753915855,120174123,11183460,448523721,223318412,696229110,391337329,879133223,886459375,43334606,603398800,169378545,321119632,563650026,359960607,478190633,967812347,670734819,965697399,322269337,935879025,309937574,835476159,140304554,508818759,235889315,290880868,424595930,669385053,606199577,946151756,486633141,542869934,194733517,678230302,590327166,180338630,967753599,364867250,653265840,626306663,653821258,790569169,370028191,58053464,623810120,310582804,812919829,340760981,929809532,156593119,775965862,450304838,940328811,540297388,566030216,875008671,424442756,366130564,215030325,781192051,470671711,341480079,832986314,271651497,971387220,223225512,109541483,98779104,750713318,92378757,6859113,182333567,611641187,606452042,649260738,857763970,670092824,114256277,397999546,270182640,696925856,627795690,612858430,382057972,141019923,221673621,943511467,897913880,799902534,853670517,276015049,941057534,323786935,565205033,73897872,690051821,272795635,181133081,761146177,998152620,894449856,55662529,680673704,418409816,282446005,320970167,828432036,544727516,656296779,897085684,415644642,410794140,683325877,348548182,606019032,214287859,956395855,779859894,950888846,446009650,578512862,772122554,155458250,48323652,48904626,300741321,941615327,816132500,97988138,386453479,971074259,34129137,74856043,556175303,183767995,953938141,140218999,773623377,705437697,553277748,304511793,464777142,307453946,965946081,628458057,444393825,83204046,554215230,495225563,673740304,343313388,822283656,382551260,842139987,154741685,998692997,431490745,666332010,70840739,344435595,503814180,361648899,69673624,396106029,919287027,237443506,129028322,649632673,643091982,863778016,714495174,294974369,369205787,774236615,959847610,313259742,328775789,83149703,677475830,48346173,303705428,428390714,852899250,181280105,275088947,364313094,170219768,985825791,609582807,836674014,331615886,608846876,487840278,332385535,982096843,833680889,167818654,149659478,395058685,720131343,891595156,181078893,710531531,528985133,541603490,295430049,793269684,435422980,192649970,389608300,332764541,670598120,375747337,919545420,120339623,857125658,366371305,488435609,745524541,500710969,372503141,555409562,416611128,824166430,5366239,812407106,389726338,132835448,657796922,487766040,301891684,674541748,907499268,20493847,512509414,434051534,97328622,648713540,748361958,312096046,460977171,520157474,823534440,118902406,352196258,545719025,685397487,611547958,579246881,623986621,801137817,514798694,870554525,765031680,887626602,830417326,327602502,375943900,391392680,97070941,924099829,856027264,466058750,242723160,958977794,772178302,578882834,537868354,11175285,265160163,216901078,864082709,411321312,175156176,916917424,658900903,983235257,34835407,636893629,280803227,721419129,272461144,302856333,403501096,288669606,166571990,916131185,46162351,430006993,114653498,288799765,899578561,275549129,569652145,324701836,1875303,482716120,610301647,627794615,487597851,717844277,697810555,788719125,116402961,738975643,973484900,536322670,557256334,908277164,685673762,906592163,218820863,826513311,274694662,315775122,61354141,35465867,889797638,750329664,247359149,532503412,502564790,350479125,896668487,414950330,66456487,911033631,260714817,181897186,202561872,659860146,852560796,214582526,368642735,298786189,238348637,114491395,199581978,919899234,717936090,357843640,42839688,616869572,761002970,249999570,889837565,41815749,65547404,866345401,432242203,387014628,497578246,224908865,181826966,995061775,620398167,560954585,51454265,415167881,708656130,787798616,98440804,8858604,357618466,79457452,111361879,970301626,216452259,629158998,671704115,171998451,16400126,182899640,800823797,126179484,945175625,752939346,486262078,579207771,60233303,934324250,477164241,704773734,968726247,231838489,199168586,371867382,415458101,950943820,410206779,407288493,582075807,721761189,830502828,399803303,955096460,152924116,20220866,161722301,388201078,411807067,859342636,987323727,53031590,805034595,330356368,575723296,536743629,543626306,521729886,206765919,785991466,580096849,521515133,434562047,556307588,939322682,817297046,794833872,384556647,4313793,458235044,455404722,925745644,628283037,662188194,507617991,774944185,828570107,529834394,42713807,69430001,716764644,230940883,236469759,666626314,664376059,699738623,547776724,489613746,974181104,774946431,682416961,265235444,797621309,877510381,772980288,821331446,669985597,227736732,707456213,387789135,921484511,851853396,192041143,161882318,303050777,784432021,322640723,939681766,429009550,955890862,468996983,41882248,897001964,618987720,918771425,437932275,959996704,171013700,543958350,768017712,648073123,426704184,292680221,657338124,53855757,732369515,823824844,936723658,243365791,734170736,268921794,238745686,718077499,340336555,193048826,939051858,401680815,776495511,37811560,161162867,71891779,932714216,484671645,125311421,366648980,967835435,594226713,452726897,397078953,459942300,645922101,370982862,178327433,740961494,247235985,489273009,640398526,448972260,300308494,92979829,730202887,715176701,442607006,976015976,21512421,936079806,557395777,213111955,154457733,343863899,369675646,560377946,821362058,198441120,34506,219156442,834328434,413242828,133264799,782538136,528807922,262796359,243445268,752862591,913668985,723762954,782149407,105155413,547863054,597081252,117111390,48996982,381258190,240176444,870447696,71297629,80494637,337682441,299450100,641691928,855818562,580974128,692534427,258924276,121369905,645227762,412094442,652612758,5609803,683296288,9128385,228792651,955482721,732616446,26817283,578985578,94866638,634428239,865265271,934888072,41188567,889006559,408000921,130754530,665767456,99602089,19951446,615721558,518219227,628630694,556925096,903825149,32830901,295429912,164155610,85515511,329495171,653717766,867037956,868811889,503736078,143056487,815541232,580572643,851302550,167949182,706801509,978664598,974272189,59904777,192789922,222206199,22694988,224897925,808194159,597868072,978640002,153235535,433571529,919356097,217312416,797795321,846811650,291409879,247848910,824317636,559318742,841447317,211146269,969170505,868378846,774870779,745335720,464643032,819072204,605020134,151522012,18157212,602221834,981629953,856875383,902025912,893420676,774686948,20074112,996679551,756325216,266057955,35550994,413361283,868158324,516666393,638902791,574967182,497235205,607280129,559452937,484464601,753525929,195090415,860429825,760935235,279313873,98758199,184961688,966458707,786786025,638471228,255114608,401817915,677990793,38968704,576806925,717117419,714212758,625281086,994805658,362286692,545667352,897088601,281752189,700771217,190549203,7709977,364917112,61467411,508754408,665606228,734674823,459278667,41869865,536351162,126761771,640637941,790410062,132693434,559226521,355658466,383098232,648955790,210894114,221663872,204857886,519399668,574824314,748532394,933844992,628084076,82310208,166091775,876796838,796421679,267193022,338431147,502521184,685215617,981566971,131052398,752685943,12151326,91367253,282218295,886922080,642362925,482556015,588730177,638788591,126886894,51055613,916571218,997565145,171128135,22776854,855461297,425920701,488000072,697492469,157943966,150884971,625030658,282464407,230756062,657468927,544656639,880543587,117783684,199314509,460609045,200266911,652160962,326050354,863783819,355880856,475342627,510934703,272076972,266881173,892110553,953125345,189666092,718093968,441402075,800280757,47727750,129587245,603995551,883782484,603853440,877371209,374237467,76189334,211029409,9961218,171974100,569244796,776646544,323590865,935751798,367183785,918666532,998371396,109672162,597171037,837895739,242141100,997673183,965715293,530946749,162122103,597710444,406211400,546903222,47482574,39854599,99056203,659394165,825356380,655099454,537486204,984678319,229129836,314970894,379519867,376500377,2734131,878291775,102364497,263014209,488443588,899838615,791732369,645638,496098463,889467075,379407716,104010431,391792954,215478045,687761543,85469326,712878761,585737540,974802858,54681702,256988701,65391111,29581851,397966530,419820542,365301768,144512771,31330663,118580966,431017042,519379876,25468884,887632435,942010027,360869422,712750589,942730832,914935629,584981030,342202287,908759822,631383359,598502981,445720045,872305194,125975331,740894874,334000455,545945098,498712720,874886883,689524010,101384559,495440000,295956827,285220180,379111771,609119657,485366008,913694104,6432647,240833940,906361622,125676768,541222654,190913386,446198045,276352106,213930628,661712241,500850579,454283711,218360594,845910646,990919068,958509152,977598256,899741200,380851268,332875603,862190244,332127660,228506317,824721350,869994422,38469217,619595089,231146114,846278251,651334560,61745902,56293196,991703862,610698607,881959700,152650584,167470984,857517335,863802000,208389484,918737362,401613108,96543939,881675548,662898596,35887940,536427009,366700501,560039213,346010475,534359799,74814220,136016333,268982872,95334056,626238233,49234339,836191625,85270267,825533730,925050071,749139021,464862952,270579900,162481514,892564544,352538413,299769746,995493562,982483625,763203857,489391816,977136474,855206923,351333533,457457881,796144834,844933990,406817045,896154628,291828623,124626303,704072722,599689686,734986801,759298696,855274637,415553743,352432042,427832384,204482402,842370057,488266181,886074269,331485916,610402842,8421782,71550749,569732184,35676466,613015975,520021951,36176070,426375791,747246671,111335976,235226998,582869707,453629810,896572081,558690138,942263581,740790959,818087652,168892693,538441898,958126894,788138033,38021837,441176021,880699442,761410910,936187203,772309929,513914449,513480770,721530727,610093628,242397651,817941805,182630312,888991455,248107655,663223443,712124787,513013991,624095893,815061418,73159208,7706082,458674921,500371387,91210508,910997570,105670515,412184099,724827775,40120972,493126822,203011614,206582178,654042240,705567112,150357478,715583359,765707640,552964791,701221243,915881294,541505490,807417232,591418788,579270824,337013027,613955636,814770055,924822373,909985974,453455575,646477281,226216681,486050987,422293017,2249929,129700608,820773188,636288786,793032226,401804190,463272559,284209808,174349244,485476502,647638917,445659117,39294662,62982554,546329507,196545713,820684327,415666712,12249220,898148911,629233639,997687652,461568211,646654681,998438709,977879928,37310730,273179882,399953671,237759036,244963347,854280601,787136656,980394210,23062030,886804023,864803764,349111759,519202482,549464397,56722991,453402899,125513623,716910249,117439089,270029520,122788977,94455493,163429700,154922960,864303749,293158627,768681042,233764689,183718324,795839253,459690398,275094600,440051788,568962983,120363596,89404401,187287076,88369214,328044304,502859655,267418462,240136666,782909165,149409029,282180906,530898266,868359677,709223248,808410597,774348475,450494921,927491094,411277643,602833832,217165643,303926428,304662933,549316418,822047953,346794017,520120478,76006874,905245409,770998174,605183283,792757634,252390568,309752560,965092876,856878629,614044968,107255787,578932079,571331886,605442081,128133446,986102879,941024347,737840706,355266618,98982465,94443997,591165911,896903334,874782891,192301980,465197894,794089596,575000556,715467954,136376098,377554186,437570472,421285140,614055916,954097559,88385723,477946493,85359008,896532414,952143562,913743321,273051884,953117319,919127750,918338193,346368672,261637799,12596175,170457798,489629174,528571099,284337232,681775278,220942216,211048164,805863378,186661080,797773280,318386637,590491752,490544201,311863015,85111644,295091475,563474663,620007717,123619539,540403427,292892020,59767959,941823564,898534721,74972849,515111087,816363688,600576606,847267705,453583633,829859999,780557216,216727741,991680065,918096425,924070845,833442320,266973080,887494457,767028792,466673730,568004457,511541280,985467994,817292247,204892736,575542004,634750167,331309678,484660623,722752126,391890763,922823327,898025275,298680979,416516937,288331737,748340664,509638944,296185364,29219003,723934617,541857361,203566719,862937809,696788190,49247855,126150316,60983205,440754328,742981627,989933843,27821279,308529813,22914275,258302594,18178707,46853544,1181600,768387399,438212715,774310024,444080274,646124814,395132897,100417574,962192128,131728146,627940101,100366944,713129566,944764075,200464964,739103068,344038735,610047213,701287369,903568819,313323950,535662853,279796379,218517822,949794360,64927840,463231251,120137716,288956921,237661404,89242909,970629087,842440273,605066822,499578419,61069518,313895898,659824381,164728630,873955089,311709085,515420883,906278198,82099986,967713274,96205998,239512011,879725606,809077756,489521574,846049429,363473544,777174350,246160151,487499869,259953945,172500635,225959881,450616805,510264962,207179545,612838384,663371547,148192277,211154407,518692749,124545033,394652816,721547392,641818392,990393905,111377185,304108744,45567288,514587986,400166681,165707015,820190354,181085374,959845105,111795513,55678706,618398555,497253187,45605536,364338780,369678872,893684258,975705028,970586365,602606639,372671867,207379626,952709935,599063284,420356329,714415327,341353508,831055033,490265677,79577520,300133658,937419701,678745740,258711607,775393918,432615263,667803563,256225563,177407930,849159109,624943823,37472777,270044765,724591624,726191123,849506690,935924777,406132317,986681876,176621041,932324674,583610771,267871840,608945874,186939818,220488045,410620497,221505836,556039966,490254916,672246921,769135886,187750095,664164235,943931876,158434042,461413139,562886231,807362089,802883597,197797504,754795957,681166908,884331161,497297232,514101013,19322175,618283278,558780138,667202655,65377942,849399315,40393723,489340549,693415998,562519129,161726220,773776585,701416678,739674570,64561871,91123456,852167389,932450825,297818200,234475595,821273069,483728185,884861754,866964731,436244389,872705141,820325921,970490340,881285243,337883382,89925735,235514996,325386555,770610348,368011347,803772330,248352060,693070213,472077851,444392557,991054122,486047932,303724307,537152416,259943100,141803930,819595337,689813006,778198819,763911657,247551929,690613519,101664425,131360888,453607478,735828635,662575524,688398363,90559166,340150542,423196080,540467296,537374017,892928785,835033107,552876757,286926525,986107223,752993896,958448042,327233717,359112570,385653584,842972739,776501979,18104642,160385060,707684580,633479551,67647524,547488471,589035811,419848852,478759389,369346904,561922552,698500351,524461787,459046739,910468843,126400015,565659092,82037722,915088525,297880940,206209059,908484388,604230379,829556181,542662522,898987860,40191259,875142109,503522286,254296255,241146149,325665955,763910334,695862180,968203137,234479287,330483900,575071469,374891109,784108199,192597152,242290024,601888980,525169690,726352551,201179018,870462828,936907288,848868950,830854190,463397249,581121361,141406375,732944368,490901336,594182774,802922057,384112211,781662447,119997329,793669815,691726768,607969807,677060760,576438860,611011946,110471899,149864250,913709964,486517694,649017642,358235726,296900258,58532591,941723000,965696822,577728411,401414047,598575634,647856539,663140925,449481097,674923258,137271464,775919799,258411214,68203322,282347964,850585522,903101584,24959103,443352448,354729085,832648433,49374045,392330518,728211710,182413330,391995757,607346067,909800732,478672832,434573454,719637033,411108495,820428871,260350919,182098678,228610241,351157864,403841297,908651127,882803715,374526239,118672016,165760893,789651238,382962814,562232793,961628604,272915418,689530712,920570127,842264975,841065907,860757110,128034092,850669852,110794576,665084646,509703692,610034547,360972453,553445413,930918931,159171900,990901982,78771224,59472441,635811739,790071984,397940865,876092650,423444629,732311259,549091488,108137908,202921774,218700159,832642487,43269794,989270889,718241021,127615937,139926887,935896405,758234537,475788598,169263000,49125704,822146801,573644950,442597256,996214571,481894304,374077415,623323621,362558940,401759374,418054881,587485421,230255758,660706953,810336583,667831603,931978600,839607241,161679446,240035108,467731865,154486255,723315568,839235424,256785806,760536420,33803110,192506274,223852875,529360529,206869251,350132520,903639860,63806530,409749151,688602556,479620684,938268852,381587169,507117108,463262022,502838094,644466975,40696189,694765527,809916929,760161269,887322913,593890842,653153090,412592034,871467547,264486814,733605727,141949967,337464542,645501081,7469689,214384560,14857835,791017096,712899065,361363806,485761894,286782314,746609125,191219081,690667356,997138745,220786241,144322973,260185340,637952964,605025724,309778930,13612529,786919891,959154690,211367212,603927587,925642117,655734357,379418304,140705590,239318807,896725833,105895411,719657099,817538231,917510260,404297148,342052778,99664271,822021542,782911485,829578635,422622994,578844163,307718594,653604290,166447569,480186123,974800839,409370970,177258110,928780280,825678675,120704749,216253185,30491126,55686430,479215743,556126272,738595021,392320548,997526018,641049948,855362851,402165421,462633546,810801052,154113816,204693370,254084657,355234513,48936676,771162480,815287425,897224087,242009197,264266675,266762272,884191042,809316125,977005006,319113355,254841611,101670946,713132421,21246347,232202734,70743067,982900630,734903269,22044505,118370918,712458797,775278861,287891339,656435065,248856919,945780412,242980157,653925562,85295515,947724693,151862345,339381788,823930155,45928557,158809012,261864433,362868655,739157771,842202781,719264690,389711557,714680331,575180873,970681591,296536976,946873692,439135465,535258906,830036044,529299606,179030099,676325812,442233167,816326706,227571041,508588381,425677642,272859900,584090990,823425104,108251378,35393044,735722675,569572330,739034846,95104518,105118590,437624092,204320639,367619462,944055750,412014079,468590898,642203243,47685103,544226928,247611971,827425988,39325017,47129994,181201063,994586033,678618108,18784887,725061901,585550591,396029350,828659323,786058547,392560770,957717608,235435921,748618747,189711292,338101916,100719775,657928019,475025317,805615630,365767506,341040255,986081292,795686026,68277830,395511826,987690332,78908092,487531130,625279746,610700210,423266215,799687667,341748849,936751914,290839247,622046678,464751879,599515445,495133455,798346341,757045399,859131350,993345629,240725577,780633092,968090404,860885912,19009871,391226710,670973103,455031558,656217305,48738498,72880752,642260823,548860366,287783201,566879307,543191896,384897831,417313809,258715830,640126796,127346623,353599786,938831811,567460640,681661720,98197160,623462160,48437687,471022373,199813687,232987646,916538808,531204109,935396801,580113697,482815540,692068381,642488182,69405993,750708940,842755980,845214576,873852497,168757503,860251831,522563157,382948208,415713204,706469291,316985248,984415103,523964364,405108730,773419332,424291106,966122190,73107447,506033893,183709106,727847417,47276338,959965002,19965223,720702698,771834989,254639884,595399353,852876697,771143866,623947516,136997554,586911350,851776564,122321397,763743599,418844540,297680258,845502205,107682133,529169112,639274253,746587956,348641702,251128694,547209084,764967630,444478026,803548347,23627958,856688354,754096726,543161213,823216755,670381491,370449452,803622136,45059433,32145521,717768310,58022780,451709279,981572435,601655762,891376419,94312122,23912700,95353728,763806128,952495681,156244243,756914609,784411323,202556518,930716174,599549141,60218300,826104829,567497533,934877174,81722768,755972125,115555925,648536099,152070397,244363421,486061823,230120970,127886833,365350643,549997145,735738218,255680375,897335901,183403863,470446547,252325426,314332986,347184720,664566840,893330177,606302725,753082855,218215186,639747578,817303649,499015416,147330720,745274416,642375564,837273276,122690822,930972614,602319664,469276322,577570739,411801223,967935435,146393507,878916051,349593077,793158028,324923405,211115344,151534611,430924690,856988523,258076135,937598403,990156049,916673953,483518424,572121392,894334823,286799694,523577995,359688573,215536287,686118986,743266133,886877951,366292601,139208573,775558351,92126077,986434048,891985650,59739281,969829945,214449121,514230747,511348609,440592635,911754332,774118431,122004988,370262905,368187860,864426303,901595776,668153402,989047088,81246797,32911116,373469823,706784043,249110056,201298110,703710721,530330347,840358924,958024002,980752409,490099940,666811916,565845466,200254654,125832463,935820946,438399248,91439031,186188725,191319221,976606608,410408730,942747938,454473085,430072132,662135949,617869325,651217295,933156436,658762357,917232243,927062377,680088339,757343473,365886413,548201019,127801987,568122934,540983911,804933115,384455726,17338388,691014662,214552631,610110290,69501234,451976583,380976407,35939840,250989993,103049635,389515567,462267674,753288958,826252515,105362110,575316855,109794507,604229891,757746884,598508197,697259255,955333566,330353071,692393726,106123547,276740439,167003472,441232952,792650645,780924630,672708920,839513530,650685767,130983002,681975328,438720531,290197336,474530415,737942224,597568975,870904524,507667504,144116508,238581339,709628106,361077135,218375510,990008569,302542060,954910460,434734411,988861394,827841299,753323071,677753895,384890391,970249243,5684819,708639748,337604621,125925772,396670209,449015229,132038103,947309122,744990831,64637697,598832879,989374093,20413771,604756376,384773853,386810965,671114203,634961462,925857820,705282643,367295840,145048421,922701027,773769150,782971635,394815901,989225040,433751793,569908864,538455747,193148691,927572728,957743304,108240065,557297364,360043940,249106095,642362712,214312667,191487936,38547548,360282552,17429904,310057773,605860315,726410925,695098802,616775376,543232182,377137399,141226165,53260744,780338309,578842027,713326978,77467968,960283102,876528311,441552188,741525263,769981392,889301557,812228436,690823698,282610301,254694533,782885110,388383827,309471821,99753629,284247671,494463472,224883599,802500841,887938160,490928788,499969063,190236327,596161321,417001798,142815922,199300343,586735204,870638977,970706279,887457098,111295247,607983706,291753137,944817366,773720300,874265397,103225335,128827561,400185926,866960681,44854643,211403946,807234475,873716485,477614456,264899306,440517955,48261538,589417879,800553288,831181592,367165316,29623233,406643420,669231402,405149396,652412997,585769236,752757523,360882866,845555393,186870187,280271358,397698736,128266231,586244705,325048709,957490036,122290529,450522778,896021616,275148968,685886191,505704380,632326401,252493045,945058381,413983162,471961021,357644870,498938314,910493505,886575651,564352957,234898223,409310563,818932703,282785851,922365628,737463988,303161415,994451345,701615247,219467063,437452354,719199569,362864980,412183023,596851534,677895891,226651995,789764509,99841359,475282377,715041439,101858926,451723557,492845000,2166975,813278644,693973776,521258661,979428849,934799725,916892106,851988654,167492310,569646609,868960030,41739645,357973448,295853823,140714904,194119932,337048597,702603568,847346661,190601064,895948384,224754313,418518109,981323382,294133830,823055632,397991890,473378307,141285948,662992452,776754892,491509130,305737653,194880251,121002434,522628237,153352241,720358249,997079372,254823732,650841617,99254067,459373534,772873472,133016237,219850174,578290976,492649613,326644546,962777530,67243532,85986572,87432079,726596102,785075685,458522359,514131633,375719348,314487505,707919398,27580423,737831494,326487232,525522642,330489361,908216916,469829244,481168589,705523539,256955957,309656987,545627025,272688538,752133894,950370264,45274638,451098207,231840706,306491635,231113409,662935757,640416520,237535951,174785989,758206336,347644252,679446179,264929886,642501607,481506808,23628327,291058712,965651629,381486673,537097824,653853466,451198902,230377753,668301496,484356968,792015416,111012448,408169278,63596556,107102101,627592637,255924270,511224702,782691457,695259502,570538058,732283482,376559037,439100794,244754188,366143769,273609987,808720975,546582334,171726757,938391125,510178963,633535554,112063058,747936247,842498857,317974426,510561752,602927847,101710097,98103696,896871344,626853136,126861317,260231362,447838536,159020861,913919612,987123586,635289087,295129770,305075231,26034737,720721231,599981870,221055431,979274326,79333886,869096114,64033632,672899128,599528099,340536125,689804090,460497644,735875311,576947850,943540289,752972354,236827714,218216776,244219430,705902770,571093803,938062929,382707828,820036499,92782111,497537599,894225719,303397587,558605160,369869866,765610672,443709139,857158018,947508188,291686865,467030699,31015130,794279782,405061695,480931716,297701664,163692644,342985892,300296577,848125193,654382843,808441574,136289184,610873916,230813514,785289089,744103329,885736185,28725594,452032754,848604758,102073606,70721971,19915687,687136575,342804379,42543961,31286285,223555178,420747102,379786045,920855836,313202611,18377964,73684697,356929887,372468589,406254831,454869336,338069504,839453092,154374131,382595668,615277528,449200167,172179251,932394564,486737149,910995648,760406051,317613840,378756404,879091127,471459472,748085312,643842048,523306433,176188907,650354849,558328308,737466983,791329084,204695618,104505729,403184523,903389597,648730985,887060191,432332860,558280435,69016767,585454077,724802053,82251088,45176456,116675008,571452786,799486636,606786982,693218173,440841410,316674092,559993008,41949608,674400728,576134381,404055,948208242,708003350,733379843,144527083,888027410,36573046,921658007,337334541,704716332,712934801,2522857,523664660,90014517,268020981,104525049,893929243,275187217,742868157,607907918,637418360,384163361,317845440,602252030,459836554,854416392,851359783,823238506,549419303,853269269,149040665,639799639,105424291,793340468,282070837,572988240,206921319,154715583,497347343,999519643,900382675,311851245,245450255,292151001,351679806,799603146,628787348,709419854,533389507,802467313,504470345,913870765,647938342,45169572,895849819,674715257,290710924,325258085,419963892,897159023,10990781,82876539,339382711,818856883,429953787,169996708,72080095,435899831,741103484,227356989,156202729,17183776,34979049,172124953,340397706,680204742,49946617,8011724,708845945,933467452,301594747,440212655,40817878,632116323,683301047,807548900,864483003,748489626,805723851,656106740,99752686,856007981,755996147,141830441,830530808,624438628,772907788,325117489,389619189,705284174,612187903,584236953,508007121,796435536,705397227,708594272,325652721,662764479,246032990,862301868,301042074,243158307,867032762,450888990,964791661,754951159,277626968,615687604,80862322,245823757,343602704,603127999,630115357,717417695,256170944,123071375,406490467,230272589,232198310,859698761,138602054,783991443,875267231,83026773,270787831,75774537,875224130,373515860,77222769,493121215,847973589,11209392,784349637,767457874,78833256,813808043,561213476,429116535,740704613,408742240,299997149,435832160,49384177,687243078,4384091,438529485,828095959,329871776,607950099,695544568,992808469,251001709,708236617,492251900,442925319,644358982,44148031,247979419,92484033,681928931,680886851,415912796,44055720,833119044,158747245,25480472,469224755,497240394,551187804,273751205,643077600,543929101,623380891,780030365,974048774,928823495,308448423,689618012,621367339,70637342,270603778,392547249,671685485,207647401,21607672,291069924,438543253,797111052,499539165,261036675,250200038,838071762,529331969,972122144,580033986,908436991,797121198,238163852,110591097,121967193,376116549,274971006,391727812,252651749,60434757,185486505,50860680,663436575,41102657,458105948,799080781,382589208,314091254,121719478,628975036,790768771,826037713,876229467,445292083,210887206,356495831,631293250,46123180,609420104,278475717,504092265,727510433,176355198,705659826,802013595,820197990,404654358,642786776,162184238,777786288,905294343,775672267,879239397,373149308,315734589,104440724,701606228,582270552,608110397,173634336,960255415,327433118,370732942,762722271,427647859,569472466,283807003,930488838,559390974,967663392,737811157,539408866,776459186,376239893,551813004,609345322,985179427,907303663,84166670,736138237,889898749,48903588,584294251,885111789,134578711,589806123,864300999,672111861,37308795,264749797,155553334,789890106,206464786,498824406,45292882,543586362,23111975,97589842,671828284,938782300,955081193,340822410,693885699,142028179,920221727,254968262,918789436,739012902,349521477,53748016,591340856,239340983,667141767,429528615,738297419,917484744,531408885,818776919,960876273,396194713,849702589,174839824,744548742,313861534,395539227,609715350,653206975,504542977,283496079,491969452,887004486,105081723,597144148,562285567,480877337,207117735,662493644,649091684,682121569,659149336,175503568,41013771,52129876,52348975,363812286,267015946,681184317,758879628,325183387,227435647,857471701,362852366,161955169,283617403,490768186,967845661,285971419,820054818,503172439,113698268,208907799,810313643,847456117,862867730,37075664,818157003,806746852,175512043,666730756,833627386,904404394,611248305,745947057,85015202,502214058,861204689,485797971,834782231,768966580,609810874,521080950,880403609,384313664,843387991,612910822,533588344,105825443,863463124,765289790,408785591,346042897,12358587,461183998,753506697,887134747,496348893,498091137,571721651,117701818,49844886,325786316,145227287,185152998,444377333,743387319,23598812,184089140,745582081,135118766,154437566,774611889,184306226,726179989,341936528,248011673,221682549,877462276,597284376,478931799,43369296,902576186,611271323,957563795,213364790,53368366,97174409,320263551,260229394,836680380,241621445,217522716,394501857,381363812,283000415,143737778,330648288,654933135,257305515,693656634,917881343,784413065,588672967,905381306,775407169,739193188,322905563,618964454,877178564,621695931,897858011,127839387,482784945,16572907,487919072,777134208,552619539,382175892,19493128,522767261,960881694,967742380,539028190,870548520,598435939,54351692,990777000,437952549,840796778,694904142,216145925,553071997,842695799,97768516,589094987,853502363,100667121,938606349,759768539,387799415,97214460,24248698,790215702,153996352,119252649,612799535,824420911,513107973,725245478,546892775,584522909,92497998,715783402,417474019,353699900,766825378,945920282,632619099,675471469,940857695,230261485,378528472,383348566,305446729,297386747,196498616,608691503,585723253,482947574,525017957,691080297,670794190,858145109,809279246,484650754,591387379,892477640,356032981,866433982,235328601,737335130,219381516,718682830,60103923,889128318,145973358,887686949,704106232,878622576,680562966,79516404,593254471,326900718,189082138,658639198,601255862,608809690,448800764,11724012,837092363,432437012,374273318,688903639,525804373,283961805,843875344,782400563,864008783,301629771,607454029,282986136,45920261,899546986,297032154,6912796,979167533,475097465,937451797,125713876,538119832,873128806,452588330,370825489,149611359,314756633,8398491,254868235,572775570,996349238,569608058,706318843,543769463,850233190,162350709,674481942,759459431,174462100,557087410,58512597,174296901,54515225,71556271,258734859,548717131,381100319,493977755,207356410,81500998,919509850,212114777,913109189,126278254,759002256,275842805,213320237,107813161,506024041,851933931,725398313,704168038,805668407,599805192,351463481,804510709,941345439,790166216,493731917,459213772,391189370,843376511,629473754,841854732,286761104,559612250,212418184,957758202,156658017,268317902,124163347,698289395,436078967,851879484,447556999,83259312,281933639,31187891,235910184,172690310,847791196,691379664,92800505,53016921,29746960,338443780,22456268,421817763,809478877,535165823,487346864,779321078,505854227,349759444,433616276,181253312,803370010,169153989,282601956,141257391,892158977,429989619,825147758,971553040,282134473,453021392,885037209,134912014,692429766,113410785,473233928,464675207,47534149,70734482,737662291,481124844,551217445,616008506,100122990,721769405,691284265,853772779,975778472,214649634,593818420,554092464,210950919,698997899,115928686,160390065,71596716,652323235,513339192,172958392,464459299,185842488,142177054,478842331,110858208,134647629,272510105,556276982,146085149,526679189,235719701,226847887,194058178,746849360,721898324,60811440,40615298,612443947,233708202,213680704,346288400,747039320,319044145,604332110,732021534,861550211,462472984,543828202,278247713,621501754,278090641,685390911,800473795,830144128,721821478,494313462,391976390,7173523,110824724,948590544,324212058,387626925,861391644,754081804,345419736,162289342,86109943,258164023,996354442,199276435,862338377,524616182,599218991,88938028,743517149,672866298,270272014,326471893,813535241,934142546,297697304,409689507,937017538,569737856,355780668,879902397,765660723,348383864,516463855,247914318,333844480,269729178,564675546,627631600,133791894,60755664,611697056,290133135,573445125,589946443,872673521,219916579,456854681,789039330,429092439,646434057,668518001,10937245,160405731,180012470,598619325,519581691,363523769,158109056,207494427,985665834,834243623,983202443,808338842,598913887,976431821,885255663,108691957,980828211,74185735,848795170,565924072,629648361,70783224,674110258,74358952,152233492,179170933,808400529,578025834,943260480,579442288,351330544,425311539,179808968,896771630,762254134,495737215,398492531,499477743,525513910,810516833,737171599,74752115,842623089,307885224,428729611,545888221,77407565,69415259,557294058,868551885,993067860,896415517,57972040,561797372,200333210,904190495,549302048,119126849,427629364,471664697,497156612,24296570,75946211,849677520,860810589,908428168,525029521,735625041,578978267,811771023,579917607,954080424,412813823,737680765,527177891,914445723,643388250,159299791,679345276,791997022,730614808,485627880,325502018,573062178,672150235,376304105,584128985,917570636,261546228,408480084,46358528,115117350,187535659,715739839,332078783,593342800,252353648,531097239,414186668,891161331,558373908,561855611,845295532,6316040,291701316,901379703,828582306,720209545,79107397,296088096,483194275,180508274,406952080,639018830,733113234,904228276,691355328,673339898,914527569,695166827,3816349,770694018,734759094,163994995,192337995,721681280,483913311,250856529,418847552,212162196,87237301,195837122,328571029,773433530,428522240,616141613,734316023,105072750,680745019,265871652,631658452,686417134,177682363,685488967,531113859,922995144,965181673,608170056,869024884,824419652,392282305,940686188,526587485,235458504,160933232,51580412,35575758,490303896,254355096,525773066,921048315,712832360,334505179,329620100,432072335,383099690,473847573,578158208,469070344,631393928,864174709,906315813,10788287,159121436,371849297,464341150,625241053,563540180,523243802,857899935,100026964,252847571,945230609,120158396,447042312,436983733,950158974,634513264,291473157,243881935,416064983,121663128,736369686,3769328,687586243,525070099,227811750,336887800,262663057,450912147,762569664,688448558,4628367,696715116,349188994,110007614,996748738,743210552,638017310,439018035,497239409,851871343,444237036,501523212,707242605,624789503,834255844,7126632,257598434,246850940,612162437,747043433,448390861,113539348,600172262,625390642,281631168,199356398,642524835,258019146,227300853,984274217,782006858,942203118,579736194,129984026,837598262,404425172,909031864,191497961,827510193,858455992,189768090,742322120,386641069,329005621,420617220,702790111,118872101,406727902,222088077,473307130,55406329,27691310,82325313,157791701,249943865,992337343,863081199,492886357,681918016,911670858,809263489,487751862,534878067,288067650,346972149,175265425,808196067,42406932,695460002,440056295,431953962,38183121,65190340,287765315,30604626,392675824,932846531,399433170,407322180,666298966,32554354,168641863,632656270,159791528,477666050,962457243,759126769,119939630,44351372,210597155,128494651,931275808,121953080,766076752,155982247,907365777,491198093,525365194,916254510,335054252,138365367,937945497,274596570,425558746,347836456,638307245,533885578,972625099,39685450,530667808,911001381,271052482,968352361,598019645,43642255,521135435,707298977,859993637,265514260,847463229,231925467,772786586,623502738,466408526,774990036,129296767,833968434,537432659,102464075,564823078,680012123,779981351,203723073,943839262,519370468,613992695,405592179,116340051,574863179,546257975,63468759,423652964,163329819,753971185,650731504,996396173,939121029,770222730,112591318,713432706,342859609,636683328,842457100,14021592,352968369,932864533,892766190,299335490,702155493,82841521,183204872,440273288,335901725,470051453,948267758,318616954,725885801,76859135,101628880,765710033,684868829,712449424,667242817,94552586,795766640,91940227,54418542,273931469,309723452,375754328,799170023,501698542,315015633,537801538,757189963,853881968,897017669,196615295,534861318,106389736,718998581,611714365,904041700,799661019,966348098,401292971,980888482,175824291,223479260,962118327,392203957,127417118,288418232,546401622,996868301,562300226,991402546,742009768,36767249,821612983,265739884,384696154,48891940,455962226,443783802,728867599,10095249,507334214,509801023,705132618,236300162,864028460,476059183,848428949,35982421,965861402,878279488,70596602,86815460,238541983,46961426,100464921,976866629,642506529,279616350,998903194,305244051,630784654,867524799,170526416,977407347,749463560,38084527,518773580,460612607,817786109,936319767,673220449,609221992,865079470,171433892,669191800,211603867,663116654,999273639,929672093,131762178,613401666,789800358,401908722,54255536,34560471,119263689,425874436,945081261,35873952,909941608,347228688,230612028,638076120,515295819,327409888,736437763,549098880,445747192,418807447,257794257,878523094,541287191,967352308,255283358,358801617,522151781,565274623,290902875,372709602,493298875,109385233,952913731,603831637,670380995,806800607,68571489,780770785,726329432,516401002,165849277,233391426,292840490,381311395,353369564,675521631,599616297,736689682,365519267,898799691,760250760,795851446,833871245,752277787,959186820,775860367,475752568,302459576,117045483,416102140,824591904,867775236,52956427,373884037,423242200,567321419,313328000,934580930,654867007,436632476,92021094,164642298,102014581,933203769,754429367,372544102,466696789,702291404,155863081,836886447,644106600,333633272,761598659,720050467,550244460,216885869,624578872,343263773,168854767,772260600,597504336,403080340,459368466,461901929,794572037,983664865,4057379,989966079,254261077,82690265,563001546,28911735,199144539,40869398,981004148,446682628,724413502,352958680,744784922,454043969,191599319,175768726,765264539,3925237,615634561,193424375,771935061,711892240,939792186,243813944,527931236,657285341,932333263,314742552,578521227,352974173,18085082,233802439,518708161,979646476,530290526,83041982,833192602,137576951,935136871,873372417,551159602,122463484,4341497,996303693,372572415,656004490,119537687,41641065,350292260,493115049,361511341,765412789,911050708,264839251,690587174,103565736,968380703,331428429,174991259,949310699,932753337,605669478,594219539,319260426,740255418,81950411,890824304,113386023,576529450,489047925,691489322,863987909,707723378,27112281,628814540,104842599,500526791,307309053,922123657,810636226,229061119,526746442,415478649,80239290,863923379,194457923,217517579,619061424,868634092,577626927,45265084,794267698,502287183,176733243,502438758,159516694,548608509,196788244,415897541,708433212,162018527,464819957,174098056,955301889,935664650,199746973,769963647,525502545,398668584,9218509,971535488,99584261,256746459,508305833,438750502,603948309,919807388,128912291,498288687,968342968,121035762,745286926,710935477,79679422,524293774,123729832,422697631,261276848,253841041,309135623,452919499,41811494,233219624,20223165,629006202,745583557,884368054,291918081,601814462,460803541,978441030,170503193,295351330,422635781,260494030,417525062,60536903,371299284,340480496,781466813,76510776,46546742,733733670,262087025,349847603,590423206,414545176,890745434,527411748,337041644,898262451,495130089,359121069,353015554,296493571,230557031,449034758,648215754,204156957,264311014,296334123,847585896,629171037,358034349,203821851,482016470,194381078,493403776,125554173,46390993,512628804,228256397,607004923,80226066,221278746,750748668,85924285,283377316,37473446,327817747,106674531,135077686,63217376,239891855,823356139,347600299,369126735,975209004,171433685,319517514,923486442,767064477,718291992,454233021,636164746,345177170,815435047,731494040,843694769,640106843,41591141,983924130,447662779,27092306,67169282,265760011,835798179,743041835,611637272,887016696,641405148,35675823,237744407,745074730,200463973,833581229,355728542,39123526,149028641,234875319,387173352,895749604,814788523,210355037,363947989,443761360,472370666,478564141,730384361,647356637,989903326,582094538,498649877,71875237,782901929,733383197,530275334,775835115,311515935,245093653,842035022,204239763,22174473,566834824,844939493,605035353,537761315,778659614,537743220,390063554,944670870,878565892,99687812,927863435,752816451,452823621,915038714,446512533,842310454,903096919,466425477,250047936,688456200,532347039,652660436,603941862,812722475,549727771,15786745,272127664,979370792,682891972,728105840,854125001,600129051,10331715,59409923,581429288,583611725,371748517,568553927,908487984,355324523,68072551,299195705,380879615,679315317,883627137,89553953,599384066,776575181,370513333,505107996,20572507,396093717,613166162,905031008,315625874,899734776,454418845,58321121,602211995,766923736,758492467,368044209,268718515,307360163,192143484,440675214,467852455,960094046,351890143,507040312,303892592,642468909,142724388,779263327,269813598,203864842,443259033,719928829,13070916,887803280,648738928,38442351,18056085,764507855,454941657,96811258,898079213,313473354,960991979,419250202,585542821,586881150,958985189,394191870,149438499,772006898,427370268,345149571,870643900,930332589,756891947,28754927,621135895,484508477,541327780,519580603,499914409,610274982,950030942,602536822,706440685,426090942,540497362,531869112,996069874,425960553,281740021,83899295,247815322,946921608,97687138,386780143,118160523,529125516,908160725,348588266,676490661,511431867,303305348,382356143,483470661,895681368,123080045,351918674,684011347,505847104,697153811,225602918,240470423,476046247,153492705,296387589,404097720,292121792,977170833,526660637,765201409,654554711,138249835,423578070,514731049,431047176,704734380,187558851,370287949,491750490,411644500,490129719,925859723,271063943,709424567,866970026,711217242,371158443,237795603,730524316,906031427,163106605,464466243,256440722,196886769,629532448,504293455,165248371,856149194,584390319,736127201,350761782,473042740,913280883,210578495,991425615,187676304,525233913,646656085,468156220,376445566,112932796,748497917,379974251,937076985,4909653,488227465,861647274,929670095,990652178,86856787,670081706,229112668,517041026,339607981,622604955,254841916,198378661,958630846,492411426,550996027,231154955,587066293,172908103,875132441,557888164,906106935,845758800,404111692,289637106,300101932,947019926,135390204,436256302,658033357,942491646,712555021,532242765,884985685,875174960,758825030,628441476,925241405,613786864,122628256,610761646,664430542,439971509,392482598,144951317,571374301,314573796,579931864,851789455,411634616,908982533,461200419,240643835,808903357,837787827,539853611,42616001,353988703,283499217,918626521,126728980,769292482,786911002,93828073,403281233,718442793,692156526,237941648,138093772,460749549,567213650,496536933,324658137,864444015,209165697,571892881,187865917,371452938,547233437,493686688,154238910,918918592,735947319,245785118,640259933,79363770,709530353,989827623,464519247,943242857,835442140,81453145,441102770,94699523,303346450,242274604,759385008,904910085,872540679,552453620,286702537,941611597,75060412,265995329,266227753,158374793,269048152,489974795,513575009,999713968,490336385,876123465,579632558,83323967,203559439,184217297,641710810,878387641,543202786,455913687,301318527,968166193,300382113,333762290,906201380,456250921,603509149,791465289,918456404,766985092,294139690,599088715,577573713,514527630,656664860,956190436,208569033,942715845,200706399,722445973,923585583,368645890,803063028,111967099,75695510,889255487,168514512,383866556,155471769,237670055,165318783,688524379,204519362,222908245,971948400,373727407,673308319,134604770,823224812,161822869,200663478,105316173,171870471,852045416,884258310,266593738,226725818,743709552,631774544,921562720,538231753,768962330,207496912,373077754,880228867,873050330,466433961,438553245,915841866,760552962,225281074,27529020,693312850,839109679,958350342,342487233,548088560,610954913,359520741,87075868,570831510,340574184,856276264,746866729,67933913,497739002,26335037,506016657,548380973,471437599,908631907,175742945,280255865,785941865,327621547,667603184,87452398,214409986,484637179,505606777,727410232,636294309,634157847,617886388,784277442,85466339,622372471,603272619,798410605,989975983,360754011,347407408,873569660,43634003,345404360,604268245,76702331,700733022,150541702,203513139,970632124,351592609,290900536,349718430,880311251,872916816,816335848,668930997,763988493,871107171,563064741,517166814,661039857,119171380,265480037,378625288,638866540,184207684,573346540,546671655,56031535,514043381,840941612,892438260,755622598,182139956,783306183,492284061,63274319,7926962,809231560,801334235,488947670,450278218,978722699,922671516,984745152,514026765,181012354,225410175,732818274,69722472,828295833,634286590,65872778,873369673,48129716,104908707,840578058,169548563,492731162,45141742,212797839,249037453,841494862,734323085,388947744,926247227,672230083,202253312,734512334,937839148,44998267,967918328,559897216,997177046,843623712,399070130,599433687,826381085,336608287,629036902,31099415,933513378,4934745,790571729,894115248,677697394,427808533,516959296,233397560,278949672,138215745,133224401,339557464,392851981,958545895,188127147,883823816,229863256,23053409,714437179,330021152,712380201,287968403,814912800,386802800,897491745,660077647,951663377,879571817,439781095,921210178,886119612,67164456,784011224,212766174,37201767,537563014,440204513,986053838,266379086,867431146,460798750,350539260,570044678,528864368,191756566,630191530,340752075,252622474,272078954,237254537,612324001,225048548,96977464,210580168,515005199,431228832,91923590,971589655,706427483,722659013,453836675,412376649,445524448,972290945,327567124,990097132,37691263,100401635,936512,636715025,250671703,454832179,102252214,495009359,262527606,686127808,806945143,918281428,1937382,217673237,695892254,22644504,336304466,112128314,728563748,26135337,138614967,563519808,631776298,360925592,424696571,817761203,46630863,155149446,245206972,20950501,89489060,702380621,847616536,229039039,800550766,78883343,792038578,973953566,440233285,692143966,383258972,433511746,395440755,614642547,643363425,725085226,198670356,902937414,59026491,607011128,482232497,269972303,70396363,591704886,21148294,22298632,848503446,925818257,118195236,685415597,86405832,614748586,332890885,113252253,923809363,435867370,856670932,644304096,136421262,102952008,727731544,368072995,387323524,278365288,600373243,159935401,845077073,408449083,541726886,562242409,199132305,455811323,25301183,741157721,678896684,762751791,581888883,795479019,441530627,201583834,73429213,631784532,284747476,907867960,975473785,674248957,594621978,710664221,871301114,618294828,823602214,896759037,455548845,127296308,564446903,425337669,678243336,237252642,140082609,54139153,546568938,862658423,692954268,586106678,347089342,684119481,882293096,727622415,584225511,837872151,927812401,891020394,459098313,524229988,400618593,144233708,126665186,363617713,714757815,234359306,90483192,35696734,748412828,976610672,920023435,334790411,415613634,157769988,801962517,342275829,775080169,141978694,347443114,496900560,404302005,402702646,343813894,387209951,228924156,86075543,906861978,876974887,469502628,340179167,154015765,229157248,521977653,875389899,831090087,239030902,258473485,587239921,334458327,223893230,97450404,56998536,764507851,860064895,834148940,165676687,301660165,457546086,53832583,483941609,459130099,750333246,949324772,629360906,884290308,40405607,868914170,905159240,804155778,176128048,383352783,562393403,121624317,437718967,95844153,326500952,651919745,121327219,884634167,413839324,302678474,635755824,922535625,397520240,423569913,809083146,916931293,223671042,2794666,397755994,409982219,259104695,37760881,587011035,145232683,51604967,414047939,49542484,313082584,905333331,884527093,131031450,928697422,591308967,827004998,400057520,43890898,376902173,301771275,529224486,695228203,897721803,898696058,644890253,497317092,345730700,454564480,281742474,894500055,92175688,43045005,662881108,508640736,425205834,90452847,74616279,877738613,587899024,428739640,215350779,635264513,173775820,500378634,542058542,228168117,643034785,892880631,496078095,914164796,546195608,651878884,648464723,782956563,676768581,881479866,164176703,923044456,71948078,448759692,844253965,479054454,474753258,850058609,24095156,202596846,957576989,347226699,346930691,599649689,920132705,109781658,40769138,551160772,820516839,437063445,808349729,402696401,730630132,487661126,231124935,446348675,142082403,730588311,475029523,833398491,99590595,979378615,645768777,646557073,900367743,315090817,845582723,517748882,281730889,641806300,983547271,109829654,699123544,815225780,720042682,405125323,596324522,279499534,667442300,107332738,117010288,536656135,682270372,34714294,15742184,876395419,142010477,38560363,387042106,926796126,94593624,570446864,623955457,202120514,126330987,156757609,103806189,354899247,218660243,665763216,78760319,386445739,719773885,43793660,747518209,450503706,972821426,539259066,681996465,754771468,334841423,567434863,456320627,545910245,584109691,694096215,620682995,232964030,738544627,111419497,17906087,765004868,232917506,830993728,558021573,492769428,863702439,454066520,757348476,199072255,339192021,718136422,437434207,918245104,405788820,394301058,307939839,191730197,625294713,933474132,421750618,424620957,338532255,193804647,843036624,573038740,901675969,989224916,233216035,53438174,221059372,541921148,503920213,471125637,941962632,705247663,875854223,513504807,767781266,876613442,772908801,135351830,291849992,954992564,723576619,709831262,259739509,546879126,397241756,207788674,834729661,269076168,593795400,933289167,418196570,597971877,628384165,251737696,788124250,2335914,264477564,222370379,335071141,802601388,867104769,799030972,781989467,208396929,768867985,636528999,727357960,346945477,194701687,394560219,484201767,804853772,492666546,204365868,592213147,356026062,394301059,733623693,722229719,974946426,494005262,368846711,547047810,879104872,523996169,106500022,303914597,522424651,508719380,762412219,564392489,721800195,907297204,695285600,374191002,902713892,512611751,49675175,306705382,252032090,684724536,677716117,294025346,997967009,30234313,382293882,826323950,988528049,625041847,53895882,175104222,133514554,526997743,524755768,722169337,37207707,937626844,456099622,770216424,284876396,670644090,634900580,584552344,451665824,368398947,740074413,413343590,526968585,450318381,277139380,20941984,770816362,255343869,373165782,145818863,275104646,428606131,795721881,586733817,553053855,968270805,756357406,222591940,26828780,967161859,742206025,888148994,201919302,254509846,782091762,775852971,617524911,738387033,144328247,310344336,376249511,439064374,365510027,240779857,493885253,338385792,90885509,213704418,562619320,345059960,39363953,337464602,137736661,62294997,796338349,783259487,268172090,290734960,143651321,291506499,119930614,425298874,405783720,827397006,280952798,365035644,537840609,311960932,938824288,841547782,859014334,761384436,703197146,221802491,377957155,66091001,778816542,919671958,752073260,980728796,598718777,362565611,964268049,876951153,688235140,302875359,121267261,103640614,324005035,880662808,696756323,975840643,681498581,718557961,235742343,17836141,530417653,48023601,573004009,182996295,676654268,938998913,853271609,240328543,154068467,625325511,982037638,528407320,794644800,932133309,818251209,922570652,110122252,506729464,422418736,887075016,541789378,19598471,28360264,709482803,746686321,892286685,696173058,500027068,950457256,587589132,681444394,404526178,719010178,984311833,642038848,101706727,525973741,632787463,944979537,178196185,572131630,863073323,738251877,115457634,55035144,105635409,633812981,656649089,15936499,11764072,812418475,981306642,127142534,665847441,919675024,688816819,683099687,432479604,322494186,225519854,67031268,917579847,37125386,101332221,397665918,909446297,755406689,681879361,245934828,634684099,718610527,561914191,932093150,18252049,450053499,878075419,736573702,533681523,88186267,934301659,782777655,886082942,318556859,725255679,559021758,44254996,443968864,675378593,119447476,21778450,291854800,882426567,64731038,375988624,888352300,871509704,133846522,146970922,634663994,822806115,158227124,375187455,984859529,774463145,588537622,526454312,950248876,227531909,816263788,827840468,264432596,429123826,224415281,838920005,299288453,429522787,130794148,953593532,559551852,55504780,260286399,59695547,958332469,543475979,619470908,837122160,432665505,456330220,3993715,624013139,921429973,51941239,805297163,927463953,98110645,280038537,43664565,461653845,543300141,535644895,920949048,503023840,53889871,697771441,506746123,657516508,367443102,360288383,113581120,570458998,341916474,539998638,951965255,846205799,513162712,960786918,1403718,373625420,537150204,111953309,429163815,276846758,341840341,172741054,161961803,61499338,559615058,314125942,969107135,351351396,553010481,778222437,936929235,566995818,427594028,169947163,141980999,872033571,597607478,196238449,816878194,117884101,608223089,771070624,926273280,347851497,31606965,481687037,628154135,154581106,458551971,574450600,542158409,813656444,619470733,624828617,274549618,455065242,571417540,756752086,975910662,621143958,935287245,977888139,680735467,323187071,773962868,133170808,292443269,165920123,314820551,526721682,490561586,520207019,667753385,678032735,596898214,679881912,870065454,446203249,42705698,898997407,206214847,111091594,655186413,281007908,437535178,826093615,52997574,44753042,269524530,96831467,926656379,959875347,444704887,619955520,762123407,687606069,301661627,798550580,206199633,879519311,975551740,345925943,378011151,960631807,729061636,786870405,730285790,330266753,546651459,206271894,781844774,326229517,894446699,325275959,847402202,221423494,821124326,944018947,904667253,908009565,669396625,63718657,975087820,574112412,962912827,70440558,644829217,460548471,193209974,948558255,721635220,97274013,975075433,608971439,435196126,888753099,541563251,969093351,282374456,204746408,842005405,116795232,20728703,456840653,522456381,406362678,885578300,41364683,320079166,733875620,806517175,190002189,562996823,764198564,740627659,725571110,992623962,192364969,278218030,59010330,943960310,512629039,523078483,56668074,58483753,101624464,507757720,847039159,31629425,746497240,774106000,555615961,955513388,453532928,293122993,277206415,493598825,368637474,231922950,675055480,579136062,370489035,41252706,450128966,953246486,732683653,314292831,988546792,596553883,254601372,981380413,571542903,851463642,32588950,422610867,28900343,192069687,303938463,831602207,539658790,353305377,473853215,913985564,152380552,308130873,25307299,693998345,366464099,391695752,532557572,138713648,556152737,790656973,710109186,364206053,674664849,822085163,382676409,620595709,354861218,694864931,280550408,847900532,132213121,745258609,350385438,519316917,11207901,38665677,553023093,980560883,635096069,32652272,549077206,644370442,973749829,630676841,397353578,452826387,750803558,178315979,731116338,969079800,760809597,162631423,272998632,351723328,554435729,380201621,580246504,265069862,237464448,767698644,991809432,986810904,705889622,676138971,770453089,878494727,285526528,879134073,26844358,502906871,227958094,599530430,342729222,1331210,785978522,725397184,729377907,62870078,937824146,42177836,548132593,342281685,619025827,243601145,560672769,163318959,202526914,744882865,412687510,679597089,138071491,300486552,717060274,527903140,683505309,875152429,135349404,980359751,10764836,302530764,274424746,358042616,7293391,163499866,203507096,893560302,952807544,138736629,307249060,460324047,85297672,614373042,766424692,300939999,931252605,151424387,721749125,150107678,561558039,94383397,376066659,290740002,375309819,719495852,64430097,976164716,192040469,380268252,217496060,602853755,411456413,424656659,980866341,450088564,177080510,39913537,747905845,414597906,431001830,250894405,762407990,658392023,262748159,187028280,862872761,154713341,178868356,447279610,437015346,575585668,616888469,378849188,972151645,814854290,863361925,884834938,619058476,874175566,316359697,189340701,79429848,628710918,942687912,959026995,236155325,32261839,70351732,275236179,200130268,608452639,48140540,955177646,594714241,828778590,143395881,630497932,38034605,671710954,591161145,620196814,312407522,135112729,387887703,917017720,325522148,876489808,892065727,31931663,500115556,671689192,757949402,635320799,818434240,338554270,136445494,529300820,493636264,194571197,77574346,852667500,463745852,596610104,359689795,685103173,425629062,842294993,213404120,363998377,367110603,376787982,128951841,221555919,823925525,652505270,311526634,53439800,918930317,679622561,160457634,313131314,104929658,203048410,350416130,291389832,39314958,357843861,32475101,40760805,9114052,989629343,331292260,596245605,885684945,856323273,68888479,786044261,577132694,175492809,9190415,482209332,768039876,510690393,177395593,153271046,203850294,442038972,549059995,325971958,33221652,72002094,412827029,110571958,611116511,238937824,125000537,837439677,510064091,849609686,805532487,493598111,738264553,854650429,806187252,194171996,162355734,983731200,348139876,296439424,54691845,639286972,773617997,617451677,501364298,239206148,526672487,913741564,13661078,448669564,265590526,209532980,724468535,623550305,11456371,166595170,916498573,612259237,226085256,846326284,492308761,145670232,942833361,784931315,805146468,982177258,458580572,844087713,215705970,329874481,317393683,569117494,292774450,504905400,489034651,870438461,341233178,756776259,890714239,635798174,293943166,445108862,639271101,259129509,811971984,410854247,57558628,525543198,895724654,736974353,991554719,131537395,839041936,266080741,323055163,648292107,19835942,471843236,899129201,387154054,430963850,255614407,207285686,525991128,720880469,5755070,832320767,442130168,869265201,989526893,145681832,398425167,657523205,90468986,584770244,200566804,444218837,117440460,764741195,923571355,859106784,550797060,537569840,763957570,798785661,875557531,523057936,767892022,12510667,235737205,317790836,961897387,385903487,665443383,928840881,693698995,682597699,332093071,69424227,790937271,545830751,740062508,767219273,859254406,380776773,444356230,212606924,630650416,653615410,795481104,216245689,969083417,236557419,787823275,455266847,518638494,237879276,582183748,323813566,829556308,185432622,391749307,8494490,807947065,312003091,191504753,886256525,841449737,271015340,882766982,6016832,750461297,21075006,330677506,769126951,982208810,645876853,551666298,56617834,709725139,300323861,741753725,565539537,660007432,326069037,37406902,572264048,72457260,517135655,549420464,959565146,250764349,437633677,449719675,992955715,968493444,771783168,471273173,596987836,234394459,955233047,294933140,650240681,490974386,936256865,40639542,745838573,696924259,509709455,747907476,901701693,25190909,769742531,341526885,641353551,915002418,664866205,541571435,372334404,800343824,806350977,235463427,883246636,959089569,510531193,661557615,195505493,510815654,6931602,382229828,828359070,410028929,449400336,754132846,794275389,62208513,378748331,442332539,83382752,770642560,636326372,57151321,748816715,458215020,277869413,949729754,701934019,673931114,801055665,816717809,920715471,975696806,162453901,826359837,950538006,93396432,129024383,228429347,285530655,512822878,626295117,874468415,556306598,523730653,632381055,471596721,807821919,465560209,625644232,691263911,228854930,486186164,607980870,753319057,926959747,481723048,762441505,917209440,312838662,846552557,209192922,585569400,209602178,640083532,471719787,12001475,595600927,216850256,831162544,638170749,368010937,351725728,220373495,63396881,659281384,826620756,988682899,653984385,236906744,503850487,993637358,640680566,456866706,997507472,299546546,273045731,94384440,362505537,457372005,843513037,715167218,226550042,601209048,951632041,535063143,943218653,525567787,595571228,69341515,709483356,144255579,254732918,247053850,392590176,127075455,931296749,900678770,194899005,531323099,50307831,23634310,465415133,829154383,339131156,300575496,61162017,801427742,344630990,13557891,973089209,101629618,888750663,58085587,116782218,716181553,939780727,649461580,308389597,4933099,299085811,9564074,388777525,132075868,657627856,762011191,190398922,705164102,192321813,581898708,345810169,358371737,332036016,717564014,663723752,821373348,106277409,377469631,654213575,162162117,274951884,269441718,590787898,840145087,885971846,981175321,765724574,962091479,2926838,964228116,697971092,769795264,789798141,337748721,722101172,316696131,287190511,9657420,669782911,298056695,154898579,557988367,457459161,204394618,145922351,85609095,57270204,870389433,144879668,820343035,732506250,718844806,55889531,81076946,406722911,252035790,919961902,601372189,75792693,86342765,547789571,378077465,79419696,685833681,394099694,790959774,295703209,253796131,33905460,931759836,463913795,860418500,947537861,210646051,77423826,396128593,63595598,121573738,104364120,548861259,238530871,438687344,264140165,820088402,952206536,489220665,951299503,249585320,912272682,43809245,348755040,901784271,83027637,599872188,938097569,316343587,10663436,462989964,201300935,831654470,130561234,462653233,594871167,656489735,557723944,356071108,577664894,936278815,434700472,212590415,487704781,926501764,595745712,221985048,709680943,599508377,71602008,821354004,54137871,66992083,856885348,396797865,213593436,7318581,633589678,487426685,977346328,106767859,840217505,3819382,722913028,117306121,9623568,465888315,199696802,582418095,700809146,94444910,85784839,694420973,438472155,190720793,216113195,812132654,410977303,67132049,380466500,651185435,61535614,663833479,383020995,768111364,932435842,634162960,147788773,883752425,891440455,804045825,858454359,801470478,684837502,908252695,557340514,717883608,694799281,869518363,643272988,569381614,366610539,700623600,280547313,184712473,312195745,170103548,86597476,824245371,927740837,88891186,430723154,412434106,860972048,89367642,987707294,819148004,190506112,967788421,180809811,959878067,2495558,794028163,53231938,673289386,142502791,219462293,435810100,579922109,314040705,271285339,357101831,298910469,761598806,477406413,714416882,212685498,798143269,608813964,347181212,50036615,492005512,656915369,994949753,194319928,325324864,123131929,79362801,633452640,569586780,328807555,55439112,756128013,766312061,296743114,187143403,961210711,396353587,894140635,790359733,51476334,986089924,993387296,272018898,684042114,808408255,768885670,476914318,557037411,497117004,994401794,667766629,544620503,705028659,21850876,315593519,38764888,935518999,62505126,148433881,461176239,402734365,123880746,864161677,976234724,331404898,408941322,692656988,193601003,41231402,616706722,458215974,48781654,843797673,331741171,728814270,614000399,181083054,207685577,156695349,620308392,415749270,870217429,517235109,576118953,673952869,728758397,111678328,81811103,707157196,99730760,435524581,364302095,363830596,86328278,746491393,326362956,268570487,473881382,573144625,34130654,241798756,221661593,475246372,784822852,437797480,84314389,433217058,578999791,360049769,678695736,618427950,178921363,831600485,992685185,850431218,326844148,324378422,588142463,385075182,374361984,861688495,338989471,340300409,266340440,200376782,215854548,923212486,447039698,521543991,197941775,723306015,248035199,48968472,353182723,214526061,923638638,270000532,191765947,294671668,815883876,176667164,760766010,201132563,519619182,608026474,632637447,819887564,832421049,608478723,213858397,99815688,596458441,348003355,821729361,403431358,291995623,427626035,111439364,622568046,121426529,204697071,180654299,580007845,78140541,892333457,438912170,844281487,9569218,76452938,952437978,412465190,859254583,904080960,368045761,718848389,686136312,121085622,642551652,177989288,392997188,857933904,78612369,346474640,243734658,256908736,610242980,39534363,985346903,699118842,204081148,52305213,861204063,467541940,606105274,80143464,973606614,261621002,712036920,731494073,312475884,767114240,178012715,531406995,165480138,97034107,894212927,199334380,886546003,697569618,759359164,925169314,785057459,354443423,107401290,463912333,492540291,341386658,300144514,41073984,110328927,876310698,12530762,792625971,3377345,60376372,994349223,790446815,339814954,176758533,233113483,466290040,329155198,159645620,276206717,538529399,453687921,880444855,596720783,400630306,91614717,2698100,276968269,212555952,274222418,554605638,38917567,34674526,877892446,720205762,462900957,250964918,187203113,827461746,203307741,646872016,193171356,212990842,194381791,440719117,633490741,619274957,334015810,485895810,448924279,736325457,619779259,716876130,661176747,940573289,673519855,708218056,37970778,980082109,361434683,567562403,44563632,920722999,623658797,594542993,205307277,741431463,215207115,173477543,889496849,607677061,845816492,284324480,490248829,847723799,853148036,285534543,60938848,976707202,430127735,703638250,409268647,187152032,98281134,272984837,290434098,26573434,574310971,122248679,459450009,154559768,204607588,788103938,187627623,79944406,885934071,959382838,940122218,528358235,228316724,467092844,484371158,4950922,87838508,607736080,10948794,805754219,192905155,793436240,856998271,494325045,873857406,66378025,408730227,189136518,61493142,929865721,924709062,743826095,292891888,805145517,608448845,201081812,410822293,317680141,409492553,888217678,817416635,392584648,265285951,669933113,146184809,796302251,990079881,487528828,634922829,996457980,987002037,332373475,937191257,837249583,292118065,826732897,962754365,273708121,160204849,882374686,619478519,501291017,885807650,35186851,704007458,759698792,937845943,591955123,881279695,732448380,561301852,132093927,912342902,506290512,491145499,614108050,68626318,208320892,493350256,281264389,497177563,360219348,867045044,756087413,733199184,624606739,559523432,270658258,576794223,8512397,891493619,443840661,709456857,262451529,906025488,835086971,466380620,908543219,971174960,828805926,158396998,573081832,762607064,245536485,648781260,221701573,837223625,598044595,628893951,529198698,28454686,836720295,836628124,959603692,582306205,114764129,200515729,756776571,779857292,127663976,190599776,36469572,336752272,411032856,872264163,923234662,659036040,643857528,246368093,18137011,816512956,519940543,279599931,670786097,989900993,582937112,668246420,156945432,60353298,257355633,567076580,928328104,514239587,934864954,798196655,939236756,314243232,238411913,9287335,596118744,748396732,351026979,945582044,710706374,725609356,89392976,158719897,1719803,58077915,269921199,737852793,799809615,146111126,386627523,502440911,484917069,779027186,475171165,574276446,14420177,898443122,565778871,902794659,663058127,981357155,998484935,347698453,396158218,490011772,485041657,872975470,974663183,842956850,378570108,492204456,363821193,815855650,796858844,907458902,78175615,889623870,390630408,727112262,826117130,266173806,665541866,588113805,616057664,432731895,701912525,639663835,242847366,987831771,561193457,700557636,854934645,190302811,943958551,593635819,808696176,691017846,894209724,331686985,761700313,502027826,503084945,611218506,273842539,138086485,475072455,147768322,208905080,424139493,548312572,113292786,934275775,751997337,848352959,82727738,525076001,781644640,811709986,137074694,860147050,135940196,318064359,112403588,395039925,946136782,178740872,990144448,912031403,996491461,852414841,175096578,455544189,892679300,90028423,386884146,551686888,586054066,835209094,309857504,968112445,388146850,658544444,973038311,409895236,510431261,200753244,795376580,634070554,887877422,395845053,125316571,254112105,261774283,198665671,273259230,613334230,374756448,135132193,224069552,457287145,882407321,912548733,320776803,841827413,87607810,247906864,90060945,563561653,370399895,429776901,701941272,591184107,42242654,132493494,623937008,232848164,420070816,826156332,533892158,777683866,937023748,729327040,213087697,579487088,276626641,865654665,831953060,949939339,147613666,402584685,189908267,422415770,537069623,439248837,714734960,924459570,462569961,767069690,496375779,30983173,242228375,637609222,99414579,667027794,996022751,501271139,160579950,474179509,826536234,702001658,754425239,43530450,384459162,417332265,961106733,611395100,758469889,327478685,444283296,828687856,837106191,840559285,762456109,590754626,557836673,236079597,784853669,598703855,573818038,161509795,878731108,203047502,412457755,980618319,648620912,242752064,798872539,68439678,616531509,260000359,209196613,739766364,181192032,861799412,691331907,858850117,819547223,1150464,503072638,961385950,234470327,126327052,811458251,461907182,454336128,194399485,282859479,944696443,827108904,760747834,621889337,826282238,72173167,364977054,404378526,364248110,38541217,752707598,201297259,295617150,200318749,623021770,654374411,401060688,640659106,703665912,23099631,475593337,167637597,354796952,880881516,54493414,871391453,592035174,205802088,369588094,80609983,961084515,402358170,325639527,384444135,402355164,185265007,974501033,748024788,28348466,969189465,737011519,883277840,670006494,854378237,13595348,464469788,326785162,994951862,662870853,798183391,937457385,586815286,256572563,325381142,201415253,808627115,811335213,164030385,74985402,490691587,256398830,297709763,731018714,218325505,515957781,341129316,18483616,506904406,419634062,753715202,278439828,664414157,512736228,904388898,582163053,264864284,202448480,343435197,623349965,139734047,786675232,306427434,115004998,128815247,478725100,726561050,564876212,865340235,256330592,906938975,207257099,909474104,427725038,876397589,461778263,398272123,519708990,820787611,169591777,411206678,830491677,384832047,750619726,84921906,989580692,136211437,944475446,463577202,812696165,365126295,320148460,75442925,320211549,605994281,21121370,18455898,541907606,473556068,818271436,71392326,339929728,209146888,899531083,540187946,164553653,110563327,399400884,929664856,984801855,326932244,407317520,863233774,881097195,547952339,555476900,120429515,930589563,941207173,331007092,682892182,864487690,914593391,380469773,446403517,475796453,140684554,925969229,529341059,133984475,974499274,544670559,717405384,815624352,830973477,153406905,961617048,541025477,682536729,249398452,287454500,915446546,605701521,491038151,977198156,361453718,909373408,627258541,121942134,959862407,221844451,451702838,389276718,454782350,764209895,738649481,317549110,828065931,929048218,247641522,729417194,991649535,230773381,140341084,450917085,312555269,445150842,879541685,907620015,995211279,283997856,553074165,447928676,703373344,761263441,74556710,875141401,170631529,124702563,720760139,873060984,905856839,626942643,328096154,578565260,847247395,40064030,776948629,991408394,131159218,321789864,710114948,745128436,985090031,424388426,887945089,417485025,454791575,500564606,827187127,581207589,367126440,692209013,408178531,894936016,945998614,604312759,788265136,73501957,135835043,279457641,194912394,725057256,990923061,262809143,301364168,906377207,523454826,984175409,249908287,629779263,75396703,256934153,516947537,469729236,552998754,85178820,124032170,302668082,666225148,572281347,689848055,170408227,811081317,135824530,842477307,152921565,273113096,600221913,414407528,721570262,503595930,705159982,869752973,171416692,691371308,812178743,624326102,874690508,600426913,636927211,856147295,825935870,73228144,517478151,819771796,267042650,340553411,175756278,108785274,545158226,126060584,331208625,804860822,862384582,29715076,447480380,489160954,446055858,924403529,414733762,224535012,318489280,688959557,241000029,590815791,97627841,275623132,692095564,936954806,157825252,424749232,937376723,65064405,297063734,513089529,201978937,155395404,597019352,451288900,308835371,785137110,154537272,24620718,604489017,620018880,228170582,262687193,732820010,475623308,913033906,203605132,960821337,255787579,10324819,772676424,151372633,191613175,727199129,851180641,698102224,277480386,795379362,516011658,395866303,214820297,802230932,790519922,41919061,980060671,119679994,764228445,174144078,716413604,209054142,896831530,204341498,421457619,744750697,943620883,99187646,195977921,195948876,757868233,562041684,890548077,733605630,215650371,110632204,140655374,145866191,518895193,459736305,5929870,875521827,346984959,939473614,469661700,511213033,371211082,100241111,425428675,553402119,771791394,621055817,75915210,730749612,682954708,440164260,219380166,224257133,700177965,786350904,252902183,229506582,701591093,260396561,437980844,336575059,778994146,203670354,423483327,376572797,442557469,694762130,680425984,687246810,13005729,712135452,180417531,838409874,845728988,199235178,59485630,307998968,330570690,980963434,912604296,814143911,911613969,800234982,301288706,971092076,957030074,994674869,625804951,449040462,666128341,724769778,171335809,880630599,159203076,888980883,610317538,260070264,940756685,580393587,112725065,166607433,337176444,915866806,941286898,438446140,923211262,473290563,25878594,53726486,423247441,937022638,876552170,737494062,984339467,105775429,73065143,73420661,254951229,386406945,73040070,665091333,214177010,140429170,234396864,383495955,613561973,838984843,409504019,815517891,849147413,662259145,337904637,816384562,325863910,426019015,276961187,990303403,534560241,82909948,392594836,966339906,948108675,163415919,149939167,168505784,147295257,664315696,711045969,962614784,7620934,980502662,496169581,967042967,955855276,241571387,361589807,94705725,731916655,788350004,390079877,804896091,809261850,307265441,593303548,647100827,54558400,317997854,791028838,201732727,450907070,866554185,279483418,788014264,57823610,376130992,208252442,708564937,990357966,288046223,424832959,189686605,815280648,632141298,608439751,262236797,356814321,109838100,620269543,292281029,442360584,723347572,722048276,592692246,175093639,808220122,364550114,597556582,15749580,529256512,187046352,121362450,388786701,979671005,465697245,313541667,806946897,263095189,290486403,166407225,935160232,846239735,41563869,178010614,719583817,544833681,820855128,596813480,704959710,948970464,70177618,511348315,472238188,781825253,484699019,952680148,530380815,784195274,764174682,798600043,592204235,75434209,8166141,279553787,168628972,496394971,527994783,517543395,252321046,70654741,758024840,397794498,118477889,262790772,550909888,460915142,986420838,663747166,191816127,628796262,182271625,105275084,83062125,163369005,595655502,293026738,98762035,238460353,511446978,78013361,121149664,8624808,777372166,937094406,265154926,776401982,505051390,960470907,928631876,482919208,673057777,301472925,353044291,959448843,812560663,419169589,354268800,36225700,183682663,879233542,123242291,342271862,736094280,474662938,886804353,811514801,779942955,936492211,968011092,975341777,533159823,11028927,957016887,364152833,410120908,484859671,248309442,863679106,995848376,474790902,636567171,689255752,70197333,793206309,312390730,438710270,721807456,930970811,340750026,445169718,313214919,672530893,994447906,381761552,978406474,384426562,991634751,523333505,958039852,287727146,536021526,810550187,925739515,694527843,423750730,909442920,36198203,253146788,937894034,242635101,831967116,329453632,745371161,524915006,72759092,693926200,150259532,347939158,231996580,160477260,941243793,380627186,271955842,575370896,987636384,426629340,25879733,320035163,382972405,641084022,521031142,265572986,371500459,686098916,355059274,987999867,238843928,935805799,171002473,378353913,69554730,193661460,121276124,610209803,34706888,909089001,852307480,693845268,737174719,198369388,531191200,509544861,399304458,222551477,482766165,285540185,163983640,685645614,783581675,94192008,555585878,609125050,890861612,454582197,202351129,144357638,453101193,82015663,112237510,940237360,936627570,647766505,179382300,565573395,276235559,369477425,11536170,289133646,53179888,555867705,621685090,132678771,659014200,597154346,209887307,267466858,725189737,534192288,126028606,41825736,866780785,170612318,750987079,811912981,744446211,70989612,436351830,44790994,801518956,417772089,525498542,494526693,396278405,119827726,974008868,591534822,891443299,882518835,42400532,104092878,337630936,338417657,270461677,844429103,225297400,591598172,952575799,733240170,724937523,657274519,123901276,646950796,735679546,839961026,700312898,653860830,585583792,328157176,283396066,986514154,693439811,999215414,167472749,854274588,949957342,415336511,819001566,908394123,417651874,309194216,129186881,969656294,728384208,911266969,503679563,123602829,265023951,660044170,4397939,964412931,341631254,307752164,443994280,901595004,864338333,97957216,668228879,997528186,615954398,215185205,569197319,848686284,442808693,186829782,209639441,790584676,825938374,879787114,774035953,212980350,42543816,552198307,585331367,502947143,752342796,650644375,957027723,973149231,749777072,175852964,639509670,379598690,394973536,93626233,408760948,179667960,686757982,705691062,989903145,764254713,274635998,121131501,356921592,305388958,162559039,372312087,709988602,112668206,490591262,794105981,518899912,331042842,970758861,197297252,390364636,85166700,349411492,698540766,413061136,993272933,786381318,343894922,20917284,4162469,818986811,788392271,343864149,49813590,854778573,577329127,212290533,582017931,181499940,718292918,976197912,653388167,607129045,7339064,225240018,485774889,86942900,328392154,479547052,772380189,475228221,847088734,14313225,575692530,90328446,763361740,171004488,709335576,400612011,99914507,51609070,62520579,319803593,714094857,123215178,477615656,16209250,199351999,538780836,561036744,107923232,523998792,166330927,853896866,381803422,531229335,728074918,689573684,907573007,590581884,916711217,95609844,129410712,56584327,959503064,957056750,174215174,744459038,628985450,544700981,256370856,274085016,569969065,80965709,570140769,278915121,384090535,908985961,495909709,899372711,798393288,634366113,367735202,222448367,351845737,954035471,983250113,820438584,42704652,653660836,812552967,657742693,792480327,753678477,263812641,154229201,496536597,999420510,299597162,364773715,211490008,21104206,310972890,186942321,757251207,812453231,663833786,922407489,59946741,564704393,126756380,685616429,893601589,736990521,400966741,116627896,112251287,358147473,656532732,341659779,781811635,496072654,84594744,834210672,774323215,286979415,236179242,497487631,986294165,606264334,581344411,604436841,89367990,183301355,735670029,428543862,505296770,785706692,234715939,277162883,32222492,18460317,271996127,799991118,760150530,269722520,146813081,926958666,951859911,503574939,195066606,804553622,215936770,918069808,378537540,798837642,425180116,165197802,499316498,22168589,185500076,508722878,889723976,908263988,139195262,606246954,657755291,315325647,228660461,927778893,773886452,439856948,162230151,879081064,101925670,524899845,354342522,133025868,108866469,121189181,270276064,969560216,722147931,313498007,719133170,624863408,938930036,536249581,425190927,272648950,434021221,387834573,292316946,274994692,507311664,570350651,195366142,485475398,442659745,471245125,706289563,654688224,271869745,209340773,706623957,567840485,616912489,167930641,303686752,367962771,350789032,80236200,488932009,964321600,927976838,81006556,774412764,160244233,471356767,991797103,666297061,416998448,934599153,595460050,776591390,257742904,808988958,693050843,103653544,128413832,354563702,462954621,195328082,359138347,441836915,957489681,796564917,846676910,540525398,513848662,997378051,228900217,171561307,884494259,721353654,167291613,123767666,215668879,729854390,397159915,5679327,91757280,460993580,758892395,63364111,208641496,970003687,634189428,430341582,744490912,968857586,949030417,553839150,216345426,782160216,792328776,395705944,866853155,286856891,52236982,297869558,201704212,642231314,334898280,455213838,232079102,352590943,178636650,535975629,82298428,646038502,502890869,706507039,474355858,378367492,535213711,116407579,319484256,720767517,246535744,149382399,917995160,670775554,681126581,954512373,797491622,604082172,729862161,511091348,100672983,385805541,762425255,256157537,931194850,560295789,722837799,328350201,354399213,92596021,587112390,810973259,938371616,329036152,46203198,11616611,21259407,692061430,750532131,105217242,726942756,514312248,941080895,335716006,907162999,246758021,552082575,75297184,709313219,695892239,580985617,426368424,824466468,170874326,903685463,174693086,947539186,37396746,101157192,662256145,260992070,622977927,968943493,901178788,862455773,76973103,433756078,68125774,825843489,329407402,955478178,600573316,479181475,453581187,595941271,433304677,56378151,633487342,494755687,493647493,702660394,836942765,920512286,969629067,708496326,976141398,673631482,481578887,745001298,228865290,492279631,902358953,665644545,357636002,407896753,399474653,957377649,720649709,312245988,726258976,655544170,656631691,923978810,525496169,583172968,278704317,266763811,868822416,289935922,413678974,742915793,625366611,417987874,154357619,378033914,586283498,821889053,545559974,299862341,386532046,239241952,856158621,887565736,934086935,495469834,804782016,300335237,253522125,516950612,191703017,690509366,389966439,774017734,305822339,43597842,28146425,840223154,40448111,762009308,964358276,776198924,676125809,405387575,889967028,958667358,239935066,89479564,685958360,367961757,811350539,630777525,568511668,374273340,283463622,781474126,211086524,390712317,40869657,253756557,626884512,113319930,428770206,516517849,182327581,258051145,751062164,453021476,209763508,935194281,20060535,60414480,177719930,884271211,109869739,209653092,708260,385501635,886535262,867463132,978581191,598943712,805049182,260627808,163405322,286408763,743219258,128122552,534875474,54629670,649512062,279312123,402845103,359140116,372800395,539408118,137486651,66594538,648677736,249037799,352003761,805983648,855661793,838101977,966584215,254313752,707375407,179607649,200880027,143531642,715758635,114842541,777971516,533948872,853579446,237192132,399153048,253078883,786767054,621974218,661204384,384911236,186524396,694187772,41970709,919169660,864282142,239421868,339161732,516488567,519958019,528531659,61409824,173364939,182203345,98940850,349373260,856604823,916497458,674392523,282236000,713833160,462506977,708401279,694659673,579465778,13682218,535394141,727635635,54414410,80052747,921974647,988265240,641338878,857810302,877310557,543762279,680159043,828170042,248374536,996825065,914358257,483572020,872306412,102228516,363830363,199715027,483424229,681246862,358050989,739865461,729474664,687499309,83883873,619888911,63919509,89580931,986969515,880180653,782124246,772211624,926728556,750498195,960907109,468747481,582459775,194419538,593745981,107572772,453139383,858102731,73196554,642796804,739325068,736678254,424960581,80889136,943870697,117909597,964629010,540697635,854314233,136923569,923459171,964763093,139833097,808367725,824353455,188538504,507976604,887012128,455119635,284572309,583753838,378567908,40274501,271766003,709663162,350727677,415386190,456743571,367387199,80759919,259383170,547971560,325695832,428876929,722090305,492455680,369959056,663461364,180943918,927920824,958017640,57607853,569509347,116227148,579311918,864362565,369474601,615265190,10288847,251052525,876303943,193318381,393265834,780360005,854401549,889920065,814928908,892193817,935735418,878590351,746315093,664023130,929215657,712351016,139546212,205397901,458050712,724796747,9881699,36003408,517835809,381185336,436786129,533180198,542553241,471298520,848299852,941739321,115719311,914530382,795361160,988057911,530273205,511801399,938922843,716481221,896904800,542110113,400475008,772598967,962724510,778504679,895860878,715570724,657062446,557913851,332375012,710161345,437115597,778865076,891746056,301495540,968423949,982231830,509654458,420687400,520397609,592358099,345820764,883737198,684728911,196012538,929423939,266041472,203595711,303278580,536587286,186641062,689276880,711843897,69385283,786573587,151243040,940899730,154270385,507704474,655133128,546175456,790601309,484502229,342591236,115725530,675141648,933513489,195412461,33284616,559571005,330088016,681807694,215489036,276630185,318633981,473747201,5890801,367430025,990203628,482638487,880277518,757334763,835918336,463648647,573354787,310731880,542362672,609456683,624315036,30367523,561258876,976008579,451264498,637525413,654094145,859258865,330674929,949234116,911831688,396631776,305845421,875418685,660443533,170079267,197271500,896952110,218035953,373722107,176882676,179875131,792713209,907300979,351836111,665322090,426080727,557077245,122952213,834475237,630623172,188734328,35610417,283155016,649073326,135972305,202028472,528968016,318104437,779481509,34235204,500529349,385362030,928509185,184816722,476677263,921949041,658523635,439872785,645597630,210965006,937870322,283047652,334222466,15757041,744118288,377465833,12445159,58467670,972894210,548857504,451306700,216926386,473106473,121624855,520660155,232353639,300385241,818452051,721507323,257346264,933631541,437734302,433006708,115722054,309992116,683901974,530969488,575938556,71796861,432986593,133094722,975020293,666387762,221730377,799402032,438180688,310390850,244770169,371527436,444463680,912982892,670785103,65732576,990656124,659263839,58192336,247116856,944799334,58685830,461556911,809867551,736153959,941822068,196906842,398447758,146111551,681271638,711745479,903672505,612893310,893406661,442568961,868135642,204264014,270742220,693535504,272463798,419541703,990125512,47649036,995664098,424885982,126875588,102094765,485836019,684175303,204043001,653456205,248596608,451351765,79730793,761383720,309108407,989012460,188000877,772836066,45027618,68760502,757395029,46885137,437613817,336367813,813885235,901206600,886136046,229779095,891209406,204971276,136003383,113707337,367269602,56234599,428472518,481084472,340172985,931208691,795779068,859420339,122621829,703661822,234375734,799563149,833391187,567767346,20891410,533372525,165931429,960668568,488410580,758431447,374747576,299825383,560616134,381575079,371450078,960444484,318488581,126541428,388556068,902565104,708149762,602082201,668915994,184030685,607343436,588063337,278810564,570227758,203403527,663861439,204924938,364449939,514403442,367144138,434299640,971931913,737842781,107971338,462669375,946145057,543401997,543657975,726106279,672368443,250340852,123303840,369581598,621165906,845401109,509261301,525379199,349790107,473201407,588311524,556034306,278655301,124368382,605176024,509218708,101147878,515068372,147246394,371116300,843912590,752657612,778569830,817957199,979453570,465411058,213807931,487681542,304816351,595871843,378417567,821739500,436357133,332040925,699082862,723101268,357818742,385027562,72448155,9426366,53449665,377338294,983906464,900128180,665928022,449572779,122009240,362529297,756596544,475888523,141972648,259820516,447433920,99879154,788710288,875698851,745695174,48899240,20189679,605540793,132615570,430511160,363742760,998270835,140199943,588168152,826739812,562511712,485204670,624524396,502472205,557134465,190451554,889046148,792943058,624804443,967528804,31491341,540156648,823581440,532008436,840033593,745764517,832299653,76079889,702740912,226594493,536192981,706575619,608206918,216668130,506786228,997880007,438376534,742050043,148943874,264888049,601719026,268447298,933806462,998123340,808283301,331836330,222421613,913500248,170019784,687155346,778733630,97940580,517088522,190242075,887682906,747710093,499042930,745041228,885044095,111822895,456592942,858849654,821323179,519900669,196055786,92576367,687135986,177719954,430330440,141348772,114567453,518703000,54540544,152125693,82548652,35697320,132459448,595227510,503568801,907755,939470459,742360673,804854641,250892542,257764185,988638727,305560289,830750018,267997696,480470986,816447015,35613210,973655637,262829702,680757480,970823635,486587761,21146520,118649308,99749580,259699796,90679265,291503336,15469292,745348150,982044677,1177114,64484920,959690296,928130942,421395413,931730894,677520010,685550958,125092725,950249646,380302096,79533380,599098826,178350661,924822628,177408891,544799990,595540777,491914245,674571438,635853884,955868785,980759056,803184353,515510975,758508810,338169920,272293457,1544045,219251485,604376101,865324164,659828884,889483907,742772053,986149420,532204187,66164191,712175026,248054315,846579805,79137520,145656303,454769853,66760724,350810002,602616804,874720011,843459401,500102309,621818043,671679008,435778088,974184418,537710360,397806782,601295491,406823846,102123720,874137648,964315143,425878915,380601196,757014150,468062964,449809805,61475284,437151921,892333200,295853524,755784950,473502580,582447599,178527685,621225413,909699458,982036677,851382779,608001085,986290945,147654185,982722044,615506010,468228796,110852254,51576746,469871799,691423098,790177557,469584804,450787906,291737697,150723020,899374535,131539979,123670081,682224816,254438757,811637070,355446783,733924224,2310157,662000513,584713932,107049950,804894839,953102208,539143966,614823394,753356414,388564083,491029560,314942459,836879766,234519757,822674687,676750325,451393208,559789790,226696490,156859937,61268552,665437415,217324070,382844115,719644950,863935623,832174860,66265682,408913511,301624803,108698918,796408132,555773377,498877490,283746741,176624017,17317757,337157761,674230233,255924396,85037055,764462217,364221237,700756109,317029786,804325112,382428615,543678781,628212109,172279690,616412781,184740260,445454218,35748665,308373504,403806371,910772887,508289327,948315401,614407265,442443691,602745783,718564968,983511598,576086311,245665947,948595855,888629378,736701290,483104740,540699597,131022426,909681416,106257394,7507747,883529380,286254270,862316551,810144884,817312181,953535949,214848160,174474070,349394021,188614549,199324084,968395396,363748716,814272093,426447544,461185348,392279401,525341782,708597489,512289730,874064448,198576013,551070237,327980630,369253736,494732228,763006062,655231210,766990531,624407768,260087797,149428995,442793232,830096897,453224997,75979337,825169843,52572231,189526942,32248548,605044421,163746587,250276278,750637380,30050616,449928117,695446487,960640988,400470825,996049280,719355502,332729485,977345417,541831822,227456297,97872329,296082599,70911513,242531336,899255100,299665544,123152539,800780041,300499151,17234694,93545057,633951216,841615832,635428601,359133739,421571058,310398552,723044270,170045986,761472497,680837441,843623585,413035879,912501955,291934777,496011478,544872418,995799807,916513660,689643591,974460670,711978457,784288472,17520541,602259454,996784306,126554430,495475184,546386102,918184064,935243398,746585929,605860071,218346665,111093999,104928935,726464760,295795629,351894703,941236363,626689993,144232765,232425296,146929936,927322090,483251745,960669780,737704027,701495845,312475057,1615781,966282581,256638242,475057140,507374803,840142422,968105862,663868801,745882387,606275217,559958078,96984052,57142272,815702652,40182356,994718218,779643195,365351960,743400523,194215994,138294111,637952740,951594365,534604750,552643304,739114338,953857779,288801960,658487189,334144414,571355966,280361034,64693972,90548086,955624619,387515384,357584602,523815377,876577485,684941544,194853520,519636506,737645295,349387639,125932529,246699010,237641122,649975687,511421175,328139546,56178882,659980645,962704899,443272199,846861677,141693182,796615676,253461330,62162780,396032488,615736785,268053776,654970531,54534761,180999714,520446347,427954409,331431219,711641493,603072311,149107918,979334989,705115334,530612748,88143785,28843252,792888842,137589101,623787781,375477319,221209197,267341032,667950012,611625448,67885028,339195132,687261245,1599387,659374924,827645797,940881963,654819982,403024857,650924657,777222728,394361903,491267974,152961708,502304869,14387873,111690445,625069964,950849925,616223560,746312872,327605933,48211900,149407121,598665792,319636868,417858298,143800720,437245342,326508948,685265451,88935845,856740257,633517489,138494265,562284320,496281201,903192654,469464658,529721006,899977730,495530646,751799467,961640740,889483112,169705660,529072383,437476570,65110952,736887177,336872129,223229677,950220161,567781903,108876178,801907681,189860094,93820508,11261840,333924624,88853935,187595603,358401350,348342871,493375571,730688088,111408861,220493930,930821006,352551214,769173970,363356766,949293492,663290646,430434241,934442424,516018724,718334738,16080964,552545294,586648411,35369517,45955824,546503811,178095178,53518691,270289508,405036189,275699776,166491856,798071196,656778448,362953862,43616866,71709781,412708908,638948052,331237108,383432163,286023412,133963484,469796059,511908793,946537192,900780057,595888679,416159579,119543155,177162293,867265305,645171813,946316992,909059283,914814032,743216292,316736819,159355148,663508686,783030256,946899545,821213414,420267383,393470923,280888559,990871878,241350123,311665373,243345662,116137987,749380753,945377675,173854494,634448983,847664974,863686262,748649297,712073281,969066110,17656665,718746022,686700678,84223914,875149189,357691471,742860807,717165597,965221004,308788878,836628298,872063664,326622608,713991127,467097591,389244605,576329451,384984457,627058696,282044112,358348316,119903774,678076172,875892281,292988619,471145855,874635784,690831021,536011185,61842282,55984841,255313910,21633367,294610215,935221413,498238262,585405783,237765412,899986986,695876464,415392126,273430946,53773510,26149799,650082571,927078726,19228640,451381423,560289483,940529082,428501190,340315082,507923841,498032659,836050854,815920962,571059817,424987106,185547053,381849835,570526863,180955112,850806883,845442115,689614330,195444339,307495168,226230219,879041419,436892018,629323820,429571247,2005431,623088843,440468740,973852281,765827108,696926861,432442461,99227490,677254696,977152834,254338962,749229,50141898,601955169,348035003,907927559,842497506,45669545,403972998,382345180,862320111,71458826,499357965,368848352,383206665,400750628,904964744,458211660,35208087,41514642,806921399,956918911,74517698,775151423,195708998,464305048,586319253,695990456,272191302,934759869,838841552,886860995,953088139,981036412,643019348,644187430,475176369,709522978,435562650,393905129,115301629,42461115,995806369,393742457,233957003,634294668,671256724,581855273,197487355,378455300,268445185,612965455,601983783,250847145,407427879,47661763,807203944,187607103,133019848,322902794,687613475,781621001,264447509,679595511,557202808,725016213,421550471,46086906,973832923,131872133,48262013,81154059,931388246,2488276,681210857,707861157,789428928,746159608,685680822,267915538,404486747,338854071,613194767,876993837,987763822,149341488,940652119,536766406,252688994,638579902,359114209,77828797,543814004,198429455,965602927,866585787,535373446,85523636,667471333,803469703,357999071,465318218,620582637,599432336,129743687,960762026,856207448,32984659,176281546,779461689,768350350,50367821,89564945,366021990,164097647,459402427,139250993,593196199,965957450,751415505,535381840,419969016,194880719,576035025,167649765,67748459,779983033,128373536,570744043,549446195,143228318,541980313,464333185,243137620,110154564,179875796,164202130,97802556,823758519,432651005,196302407,66565107,196458440,3201610,446658,535286357,746070465,10814587,108414447,722166439,970021076,253809874,310574235,5822878,600347458,554357879,834416065,935189980,963486683,485321472,98042754,651700002,453339055,347938737,173925671,468474463,809232005,191643914,566399626,162758840,670276583,827265964,174004048,433062554,808524482,222513836,532167290,360564496,769928691,797620197,824155065,388777,71007442,506883838,563291030,352031059,824803229,539282210,193164515,189512352,837262768,210246031,17678486,519941500,811001622,142452300,248610074,174527128,217949010,796613211,887308530,377110042,241206706,273387813,838818424,657687027,224802816,24896262,852620075,939196582,285549434,890029624,53042820,779957626,101248220,732155084,896906221,695790986,665447874,572694482,480813741,784242740,301161205,300810236,28243374,111453978,445469049,336530590,855976067,895346461,288524683,661445371,276611686,687649606,923840952,6698953,96276914,197355023,209849241,330677273,856768813,362695948,893284970,444728750,726145181,244881883,281009951,529018553,935827323,363059764,825464094,82061511,70054430,811640504,640852654,964360175,626407045,75449007,958103008,114716958,867395283,325845736,191897746,498556300,747992850,670180491,511570331,167025985,4385650,281023033,78938448,732289270,994676831,460178875,585075749,659640600,473123211,384011986,494854497,259455661,70597317,458415606,863102639,178635756,134953631,924014673,715871521,429243165,693546101,146417511,837923242,719275835,216959381,216732424,707086543,262559105,752130810,303886466,529916472,938437581,165746988,576115151,193914653,217564832,547535259,169776360,401674725,422530721,180491859,938144888,40035954,279832950,662235723,716073403,359986749,859131963,121745326,461257090,609718101,414827292,86103216,2681433,149307394,806800296,993341736,938747282,641504171,757851639,473947441,685471928,235973887,277425662,514714668,653746228,505796036,170522441,748720104,214176378,862963405,253934875,372259462,496271067,149208016,255990068,35620838,408441115,304505441,862918157,433751626,261059379,215878209,669305764,763825600,529695460,174476643,143751394,912127531,722647815,649758036,653654754,140650120,555947591,427106504,838007690,377297397,284327015,722050673,283098430,854243356,488305417,74461752,15010803,725149420,614445485,959550012,76873762,742883454,43823524,809713026,234643734,69028747,26033435,285046044,400500155,456863249,316304521,523267711,711962542,996479151,947249260,2216268,111570039,906586131,876437542,84906249,432807043,846820701,515498573,952787021,63638955,714526015,863238254,155796602,16522862,602024414,6332892,219382169,924639934,238682351,950453473,535559040,52429990,199399202,482815644,697929640,117656527,133150630,770878826,787131145,576732310,135378759,588414052,752207234,50392475,767022377,594001584,997585870,346599472,610548899,983784705,343144743,492481682,758491243,778390804,262456915,855390828,88043154,592118165,276571930,824870295,972054120,682425755,570866261,239094726,886034404,593868826,885582334,934465191,672727839,600989338,491151662,238242567,821520239,705578188,474024065,253038307,286323487,215983593,877677357,49295443,119657665,682163618,377923045,677334500,721064768,135248077,326163360,788156832,319761500,796904155,143353188,603461863,409152673,736490702,973555810,753649814,43547228,170430754,598836839,670437507,250924187,293012218,609078557,352479657,386028718,411826614,696411471,269150518,712451467,987828344,516659756,420115960,584779015,687929523,497758719,215033438,654319988,679851583,939875904,306599669,775585536,92505780,584977696,668331137,248952992,531604760,35985106,123965089,9470483,482485115,561383165,573724953,92681107,545913429,66804044,315875511,700968797,829397608,549648691,323356577,941649790,371983855,111122625,570714476,44331211,54554824,679996420,634520679,672318168,741719323,190954241,915024030,951948173,109417503,64965207,725050789,860977465,38444411,327028150,682829078,85029570,356109546,662412516,546218886,495527633,159425444,396824883,787336129,837697965,228290379,444542543,63733047,614025845,738964111,81474850,957654637,630111012,248201054,484882594,912847904,188791526,995403366,100481323,173468099,564385354,421106755,288796411,52197514,583899222,963013876,976506220,300338080,606268824,172169165,670422827,325918558,289245738,461929082,975983339,929240235,651476200,868260105,274781169,119251766,971397026,173902595,495699857,552992311,674064163,815212002,812927258,785977279,82448657,275482542,139194238,273897708,220177990,903120102,545055358,786863883,618417053,418900585,979721531,626913285,58050742,806349324,985735515,439829172,485513827,300930458,444166664,954433827,178599027,596160530,397893721,907701552,826671380,165906512,955862217,881910640,865128420,572795532,565103470,509704708,212909438,864117140,963886601,673381742,317764852,451412512,489623601,801502227,309719431,267295633,385583903,531563988,835819410,795829143,960071238,575655498,508730252,526663767,789443226,221193743,902525043,195640753,125712797,990467904,507683374,850882115,964995216,550324955,248286543,779951988,220389794,767268915,611625991,772918214,650068458,406270936,602323631,855189994,693997687,50673117,834282228,8753233,283100408,78029415,898128398,304633674,358473901,57671675,749067650,910397244,448649256,525099093,139507871,923022332,529483924,67074431,130802898,65349084,302670392,327039423,978233221,147007938,817929485,516899116,728003903,300930476,216333745,864173842,205616293,139125181,710710067,838627828,516540334,503517745,372343184,172057950,149035861,587931537,164109657,242511342,412462730,86622825,283744303,692370883,289422107,613269068,514398255,155067362,604172565,917274572,818422869,993423004,763699999,757748318,101029667,856217183,213630193,469392143,571518168,265022416,900028283,732078412,70567897,194271437,897569702,537905845,129538105,363834821,776695001,359440608,179731329,677420254,45235722,471542153,395771141,847744685,162347048,903629513,644645020,622104177,774417672,396141822,610075265,939968385,121637040,833545718,919029984,77610459,964490234,721924959,32319928,120229011,490902809,35517493,640177779,15121853,954000294,308599485,406475164,74840343,870300643,160422124,186036411,965436221,697753632,810078601,302595334,352013999,971605423,338971933,950021383,74876201,959943537,743915562,793390837,648922537,551448333,37088447,113499323,668322968,426594033,387066623,180772673,475630157,338238578,692314349,845103411,375885404,250092144,566026469,341773124,869501419,630825638,24110724,615982710,540370913,598589888,682972503,403228289,826871596,265852877,330266945,893639800,835257865,304282458,185741033,38504583,750995036,687124971,328210072,234899376,956070838,582697103,587748946,127391936,682869259,19715392,373409659,586664469,905797514,401841322,56334065,938861306,768419381,934563527,611490014,506837974,451529935,50300541,990993227,768793350,532157092,196197824,352337641,423946703,416925199,585833590,368833582,881713229,292992520,662877758,59080594,25746956,845002585,924958928,317144121,176969397,247228579,173168645,791111055,189408174,661765805,105345267,410741195,545984664,256921855,655544555,295381500,742983089,336911528,154187345,912819488,349368157,97690182,96285936,74464974,145489168,260159897,690891866,463940099,950826241,804035758,789185726,583067834,511545513,173198802,886685794,681522156,213770927,193877128,647528509,255150220,421034243,970894556,461104050,854672675,373231146,350908572,771058363,551682333,277530860,705279888,952861901,1211247,470239554,277858274,943974561,914261766,931077601,927309949,849511488,207458701,776004679,257440861,962418285,907641543,245571629,135753935,529259158,421663170,71919489,614027682,348106639,630803740,432913598,160097566,219457023,776508056,291697076,259424745,768623679,216655972,708859358,530682078,987316804,404289670,595771990,273249854,149508777,71203155,713398475,456081375,303563851,568499333,512672065,126334413,526460970,107472442,282244778,286699057,493932218,638782210,581816903,85489105,586774856,61015758,175092101,610242223,747420776,433804131,704111182,877148573,828413359,878855602,236053006,528097269,549830212,40446500,968171859,520288333,364535660,670637272,942580850,921544501,933220856,81463433,43185921,598808143,991247398,675616963,121981235,544714909,139811264,41023675,761625127,68785290,807462665,197550272,912354198,336234010,417973084,235963409,218269206,482510992,463526224,566497699,760142121,354976953,310435389,426613866,263680237,593937351,651363402,262293544,630005736,786703585,106299577,795230207,194539670,685159617,401609024,181881831,352555717,922716031,570858267,806242878,812129441,222107408,360697000,558054193,21436340,948919304,697060931,989922595,681676498,348869101,441978495,334004427,520438573,785080058,426714772,998594121,801715878,972879838,499765065,532975907,195758070,524827730,54312099,916014577,283165590,632632405,387395759,324287623,54824509,573536864,57353798,209875643,426084184,925087136,42692571,6650096,306463962,34446374,767565696,178681459,333265872,91522023,216598488,472146999,582102230,598610788,182048444,508068765,145737535,704528729,870495174,934776368,329614827,23012401,965551426,897220575,374105702,320263014,274295201,230639616,188839359,890154924,313160252,636826981,131228866,885295815,664327081,550235625,375648927,815746154,464965031,429421500,539186954,439885812,511454366,504433086,555198486,755623548,393278516,759572176,607833230,513895677,877521004,681219745,343635221,386343738,977102889,325262577,17993467,606414710,839532889,911345769,71756176,214775276,730531370,54906386,630000297,618227693,813516432,363456354,308104732,321109476,509652459,73006029,663643709,258951009,339882378,773251714,21449291,628476369,273267766,580747328,332830190,94694005,42625129,695810238,982658846,452169270,771035190,80348571,970848545,943937097,172033751,404147378,598904764,700531095,498868754,990973349,920066862,697683496,684534059,423812465,902806807,119737717,317774775,806637443,278977696,656114106,238512840,972942001,207219752,334304093,455306696,610295863,727306850,808936321,570495328,673996006,461035961,35419530,666694411,8915842,247010638,462682664,185861822,518878490,561311016,677364809,602499003,267734192,295464341,932361458,432406011,152050684,810656616,906665410,373706812,706021905,472200363,551936608,738440243,718917302,879742445,145664089,302646953,678778845,669414652,128470741,810504842,836406042,275671104,677222252,476771535,75605489,456514787,659976885,897186774,159830068,252165668,661463448,833738531,748408836,967689765,160996808,258894979,134902748,141406993,999549179,295680690,37364322,461802718,613307824,25915497,807742944,969000624,598802119,955333451,401378382,996925028,625023668,63687356,143548413,123022123,939817474,120579160,995315922,825854458,40040733,177297158,359523621,930324004,311243667,273253182,500240862,415359577,343957461,229955628,741653321,14852651,966344628,271824675,469693809,5149787,364877273,301276125,333402205,193756479,419268118,831962580,306005446,623331456,833451008,999753943,783636348,502851451,599279850,157673463,841647244,390116362,597113055,820433541,577626231,478294830,862025047,880576630,712888600,956629282,560666556,488399244,630842028,416202879,514763102,346993185,860569085,15159589,251576652,512544842,91277033,452746644,144055838,796549630,792218317,921367904,22283631,83511829,460262265,92890194,407751621,926248355,656973959,224305582,708462908,54249591,141249158,542920927,372844671,726343485,120182961,253579215,835188894,804982035,852554602,297387066,431489385,940123946,77480950,150153886,422171524,860915944,326571987,944674406,538880698,843894316,839228755,179771471,296114554,790843952,192161924,31965220,549902800,960419534,631810756,150561352,932490722,19333608,542801445,567997712,453003730,637026843,941564233,937717388,939985904,489597812,205505017,102309919,27295311,273362,272563062,484149234,818311710,223959504,809354207,804119995,246172532,265869025,99133031,374921714,163207745,489591905,810750399,607156417,849954472,973654990,948819596,625398874,662690282,402685107,235415646,418858014,138180681,936895810,570176381,26083764,203925185,538110543,876355868,883587553,134908497,719379389,667022154,486425006,335408331,788308144,894059036,51527537,498602301,528500128,57744710,942133279,647808629,695337403,935506697,948444733,608644392,251504617,657959214,185749779,478559906,578700841,528393427,448473148,438443714,602311556,322057259,102347929,708417538,349451108,254554389,468121385,759261194,412764398,96601336,420736120,403617916,401094440,102315181,796367858,623311337,896211180,625301335,502546306,130095747,317807298,94427687,186827229,413048933,32955665,737693023,331576603,52689892,229298106,961912845,885781864,736043641,738400410,236849640,562291464,935310324,239501664,804348972,652386669,963293609,356835413,388392649,634534617,472083001,196854789,858389750,550345022,351825780,304032438,682846558,906068384,724834434,78777153,632056677,165576795,484112060,147354515,109496742,687073201,359890602,556864513,280188803,56653780,446300063,104382015,237456354,541009387,713838788,559202635,263469117,789593477,2095614,423359851,950453795,762299530,140963918,32780864,679550611,352996115,635271416,58865372,418570133,406790259,775629350,13259964,474536354,175188052,298393001,639074935,886018249,261709592,433616958,552521566,87752439,514838568,444150628,969129265,887186703,660814723,395727927,495380359,281401758,787853229,685333935,5961968,157858285,970260075,792614898,798099129,394082473,124930359,224121619,167368066,59148776,258492924,828587897,474657976,805104696,489979878,625572930,661453802,458330439,747234705,909365899,426254228,191340513,358761486,622740553,42717430,13921711,169843959,182714393,955482942,119006396,716859585,988115266,667505526,886169039,296305317,981409067,101433410,811649487,609937209,414418039,680080242,350372501,638963062,195937516,493895941,370051303,994620595,582866158,67403394,773626884,238950242,87658721,788673616,262801302,753992616,186330807,429591360,586447961,448015769,820093601,871257915,867708937,416456599,115399936,922531855,887574762,63219024,267634563,184444772,219282774,883528963,306104732,79757304,723269864,297381020,120949259,941404265,203394324,860655544,346146867,496518746,58467521,66174328,997249750,782614143,816383203,38962891,158981961,461683704,604977094,243240696,27632052,905949848,180433771,118575662,712509222,668803908,356018628,908780317,415938424,894253181,522824388,80097598,889932597,203372524,188097818,758252500,454998072,373499714,835841273,744212856,533426439,66467752,193233673,27000985,632311651,789177693,486667041,623283304,20224792,625800385,292137521,992011589,516102356,540288283,349869252,444212112,942848737,451648307,801508809,23958115,562266820,218460485,892535071,68588872,516346239,814389511,363423269,857324123,872051618,514039322,714514153,982754707,256289202,537596373,698379334,661911286,943035873,551689034,840274948,777004458,686891791,12294014,25159363,149301485,181418948,780010779,240298898,113084395,119881372,444567148,837021901,19233892,146205200,117441236,502237451,78226946,227008585,657617521,963621185,598565971,942338263,827492389,331979260,491224743,381476224,701307700,685708526,43686461,869066266,659059766,225705045,766069548,595366506,436958688,726299501,484768942,392641774,88385794,121972007,809398722,166682363,533760973,136463117,686012076,78386700,499915456,65539718,98193575,288475792,157783755,123089510,352585259,566137124,471321494,915397211,723292632,742384780,100172555,2170546,789949857,231001010,883483282,147021419,129163034,955615962,387446532,275400542,439929978,498287771,18013327,99611627,653282021,191820948,443190813,905014679,312684136,691477968,683742433,544089261,240820413,858192038,117341222,769483562,774823388,713978978,545639566,1771860,21811138,938109714,560636146,89203414,124310202,107345839,472314257,963502926,427625322,85182965,158548081,274380448,587819665,481303508,388112487,898234900,673045889,172810915,228946981,375786282,903074792,170911985,172980656,87433783,710485478,483790135,702623127,625288684,546255041,736791130,118382762,456580340,365918582,904730345,660301045,619201000,729474348,420097430,217085295,850196933,813856130,830907803,736863591,979885141,173441798,624426868,545662404,660854329,175739727,491157904,169381707,82970671,365028521,366743118,842638748,264784950,523184378,974746210,326158570,569710445,755728649,337104683,227400241,150898954,295795680,355157612,385401396,111310571,912497574,452183070,903040968,217699069,526987891,806717032,931053772,248863603,682794052,171256474,378549178,615562593,809762140,805466618,141825038,526979985,338416207,360993164,318430138,66272017,2766514,999584573,307485011,853915777,786610238,951423816,41149376,455652602,598588375,36637626,33805783,286873857,991912968,249809541,940893357,419563656,453104978,629634667,73726548,689144132,3998450,987314851,9662926,91566174,974443021,251138294,896671208,829679653,85905223,790364296,124254188,738359941,68919431,295849133,612580467,141292897,148015843,77690465,856183035,647834414,378746687,446316372,521083937,111799567,231818269,772968068,89902031,702771150,795982028,721747455,194195464,707332576,554480021,209039795,394631398,878770138,381916241,499866439,125480542,802558199,76703296,98271946,588347834,231969734,158962589,388564173,693812259,172021812,362975332,187541013,462933580,896520962,223083416,673750726,767872906,235938610,284939400,968742952,862992390,863078473,771316761,90415195,700643622,194982208,471712911,127719718,387325985,109371523,57078602,495800335,450892203,65269250,601824139,981634218,510886063,122832505,183225102,330212607,480805120,644392610,912032142,996556912,206657277,687397090,158278423,693207487,223352443,507203382,854214325,100540844,782739174,302605993,340127369,938203229,670839825,443451717,829138699,259071,709583895,862050272,930741611,897273166,75348557,278248563,928270259,288247062,280968733,805342105,309665265,427246159,4289700,333239587,703297452,994589968,249506791,552727355,87251505,55599758,881733228,424056630,560526125,843870099,594057085,123566753,499728536,452326098,373616585,62833286,323731511,392520425,651302492,530391026,543037763,316036568,287761227,844675711,540947202,995114280,628645434,859758183,465224867,636030202,1539441,451491317,227645732,977024284,759619546,887551781,464547107,216822526,404841888,807658172,558543551,763924652,63368742,451222588,611067056,79540602,655033263,190443181,288792060,109838701,396903152,308162276,270040632,169578101,737074394,831780773,240135821,748388385,167134710,124064962,228498825,730392983,816226864,543878744,963384194,312536100,741071998,566621292,820609066,397815264,425175324,440811132,995865224,91678454,216227569,816004889,829346862,461100891,720403097,752741609,257261186,838934528,557669742,636588899,690688240,58809903,841926599,60418296,404377303,237087484,660556860,955232865,612999528,840103916,156360668,526373298,160659228,123318377,949239724,113341615,827014106,583009273,202083140,753956451,353813457,57595737,389930087,593790434,691756113,26630498,439977053,188394177,553812535,444789586,131422042,969035371,583201273,340878488,700666180,130789595,350828448,572366636,631159150,190433613,503048782,996551535,647647110,110879795,612564742,309859062,411994558,621321861,230578455,291249717,108024663,749181218,528028734,579667194,208520026,811710912,124030938,607506859,362418936,272726275,865058886,55555063,668738689,591363306,776113029,311918818,181004298,265645169,979953227,29142851,716379920,827603008,190220883,788025372,396731733,920209311,689912336,327584574,309071470,418687926,152079856,843816642,240250397,309806922,662548623,60869125,94867079,776922816,414863324,730990381,149896807,883511927,436077063,85710604,249531086,168200317,205196849,209846358,911819191,169821830,140879863,475783566,514693215,624120236,695661517,463147869,258489213,970384113,80592558,863185756,338505938,581081640,560234890,752068360,794523358,345585813,799888553,149712738,656066943,138607213,832146481,649289753,88131706,111498012,99092792,92153476,226618152,872827188,605299938,533288758,195124375,903617409,720441389,619921301,653087829,660384155,808472452,535093885,61743370,915598481,677953198,66708794,907598526,623010390,259769456,438109705,935980436,170690977,113311683,622077484,461341263,903452258,903826930,135166704,361994604,740321788,697224732,350080183,627266168,368807326,549284997,438268425,917175813,602660850,996366802,620550639,785128439,74574882,422882265,378646700,513869969,283937334,613939238,74065474,142948436,407366968,431648652,881294781,797191104,674591305,900878810,401130590,766864304,481897276,198217441,852136474,481178773,662399245,837059521,671171774,641898469,868847127,695988179,152971851,505204311,903862744,887208251,452303861,255501246,829599685,743646673,795763532,933986916,276961909,460311086,724342224,60155044,346446918,95818779,488116996,503258131,700308788,250198895,605871008,293394331,31788838,914273586,48992704,746276682,830494687,950994197,549651480,169209092,614357427,623217976,206909789,660294311,800761960,803595244,563212220,877414205,334824088,129612967,31319702,517277614,971450625,40549884,418302764,975921886,494110414,428501681,100458862,297970288,796975028,931840328,710854942,943725745,355498282,437876873,595898068,590738419,628468209,413713772,294104914,608617142,17330788,501590819,970269472,812135352,47996991,791325981,50813179,480143653,665919450,542089691,422259713,20469006,810631489,816177254,272800407,196065156,9864814,347187840,412773939,752665877,167342234,711837372,10372310,913919197,199000834,52010775,21149421,404997467,532338011,368067294,189821398,626822515,936094756,72456398,998090956,846860488,670190959,732966308,762177563,984326850,127068431,861398365,898026869,456728101,161028580,609993830,814329303,721015200,691288967,400622132,636913793,5418253,878347907,75256556,339631562,128047869,219939217,856722242,392341701,198573721,128296963,946968941,640177087,572642068,63010919,361497801,288897874,191300965,410933620,630686982,766283577,289111996,437001075,984351013,657759562,38076518,32386262,198655624,945199294,264818333,642138350,858301119,532791158,114552945,215469982,975998634,633206488,211990855,107059507,353654794,155786842,815948486,415376950,476463705,960592603,867756672,305946890,739448470,739530858,706232997,619705099,677677380,285712183,903068449,760852172,792383952,161195864,184276951,266531901,949155693,731257509,631310392,817272334,346860929,480940439,512365216,859283350,151116933,104391363,185703611,774436183,179987559,727207807,62375412,632745460,610592494,353952291,708143009,548785222,741529982,8126400,53457455,365889985,33220315,108885474,192072112,567479726,446156043,736307692,551945514,757136940,193701970,524017529,272770802,847563540,137893944,164772817,73311874,463184305,605561995,72460209,299477051,309359622,67660247,752632625,406350412,641578674,380601277,279381620,222136007,567401191,102775792,839912879,817307586,524336918,203710404,733260492,309216013,979709197,839340849,924511647,731218291,483077581,652732288,662441820,135562132,719477130,967508955,11081394,79140850,379680911,545517760,655357313,541191762,237786502,551052556,272953852,303775637,170764772,553341236,648308294,368813375,943813144,942749452,726434784,368486001,114342567,891309178,511066998,816861374,87881401,277168568,132347043,779102686,326733124,318240520,694561747,819143510,454555783,456963001,231010281,671456290,413680218,55004740,124299147,763765718,655623497,30513945,760016232,776035128,687033325,639705659,239878248,209222146,189347140,761781249,552031923,35143196,815872965,429074409,890259595,712309485,933780447,948030009,765830083,489377762,977210883,228169112,245726169,78289682,998239478,43225300,821924168,117078931,630627631,695649483,672114695,818700928,16605382,435583074,97567064,30905827,710450012,401194320,825686399,707599091,162068943,88240498,403348990,402717876,35577349,52282356,186402623,496401056,843877507,94657396,497655354,97535851,776779690,789429817,492947846,652496805,627858703,164622770,111093910,796445609,801664942,704403607,156835611,366332183,174390670,161540643,83571668,238365638,323406626,974883043,336159096,532893127,614079202,137859971,715910366,43709408,501887149,741713207,821882784,315964741,697600687,232799126,877210255,429470291,510677121,223583435,749593789,649686131,724585654,478878889,221702698,754240087,578353168,351094952,8947826,305636452,759739584,644093734,89857020,951056098,275115697,332185559,513376910,992967798,906221426,788703245,209969047,222807489,113338578,41873753,263367409,91902892,529577237,657212092,966339895,777659357,361452870,220157222,495100976,58435367,359263756,903336137,588770160,945083277,604725980,330253763,688294281,418997820,16746734,102090671,51718713,125735780,218541398,908647834,423141054,553267784,883171904,856969963,549224047,757662839,211670728,553604472,686555071,490142339,948371243,977280039,406374265,422489130,635153204,799067464,958923809,263648636,986388315,341184045,839384672,754699667,197895152,613291260,180145033,882365979,535607248,298318195,212058628,721497066,722051660,220330170,247858939,742508154,64571907,581520866,303972505,543529071,103478606,945415427,203174953,290396436,572046687,715536963,646509874,159562010,749890118,847150617,745380773,874536993,740888242,582672159,572525206,223006034,837007827,933090002,911627279,502652088,799430881,627487933,677280310,175562453,445714182,221862512,960820176,613527486,931489259,466566184,134319200,466523228,70940554,565504657,385480621,291171862,891220796,353872983,6472955,381455450,13374229,635540518,470105967,232900844,196707179,719790938,549061269,793882793,883460563,635932393,495007780,886089547,845503936,431310449,363660363,973133937,384868068,550732572,355239404,163417121,327193713,223214408,718091879,881870883,384689677,101074665,813385507,659645981,361465422,657346814,52882712,207857782,119633633,397764051,969311866,415835287,549409625,927964416,662168518,670872118,613048140,682589623,514378573,327231281,978860422,321461298,88208944,31854494,550849653,454157907,547896687,469127023,763372642,596340589,962881315,858202250,241885188,592685193,483497617,268565483,921386708,381385138,993970140,147976534,552230865,352844518,950516472,347669413,688088616,810273864,46075398,848099773,331613322,551938035,922406835,777768177,882798274,486335911,909292973,256831147,644994126,150547995,288370795,323795663,108742265,453149073,912532352,15582072,542098727,800502675,544882890,26501794,349426998,49633702,568923524,491756306,104857663,462931562,286692666,477256230,514175190,787063840,221154006,261952541,660711329,397456899,981818417,530128147,528257350,963119957,380377420,686809808,132144647,528985910,822294053,616751510,342510535,542964752,953736559,313493164,606887229,911292,661263553,317923504,150918173,953725773,362959048,728509806,653017803,557664301,394839285,564024321,704009062,582571207,210773563,934715457,217651160,146271867,175351431,734103732,619211915,788609505,966641330,664196629,88484452,4375848,264242203,283978763,83505158,129465938,995387596,673405066,911938491,848086590,312531131,231829372,534010781,208109621,934747745,59758280,861199006,292364283,422301545,170556456,982043871,461717221,923602512,439408812,554739754,322796482,602385737,606130602,803857160,184414665,331495691,115086127,473735814,720760173,865176005,911883067,739298005,710288379,824096197,208072427,882631896,909755613,158794979,561655918,239980500,294709389,859781803,386790038,236223300,117115216,133665300,627007489,862633710,949048873,305030016,491724165,27711678,663042318,856215328,322408442,240477405,571620355,570994377,519959176,222186849,586598305,196850282,89750964,256459655,742976209,26407404,238815112,726482896,26355249,310573384,196809673,532263838,19124291,794786340,769165130,41163052,913648000,799429256,123697854,897390823,97875423,185273922,141443839,219477736,469243930,995093812,579215653,65184158,21448310,193287709,746956323,24277780,919064137,910732439,561660236,830485783,126349456,434520385,301911573,536666991,176665085,400954491,978235065,371380724,348013368,259798936,327489424,111043722,314249202,222824710,728307409,270371251,75183573,154614057,510711750,782148192,635853480,301575301,530572053,345524638,437031322,752844285,988264720,305379142,891520954,768977588,358878989,389180951,861964780,798867116,393911788,21750507,2233747,531158231,541881482,442255072,575213953,828578790,67894413,256710500,785265036,403538256,59202696,989532536,394166965,837938694,576886567,617846895,410323912,807527372,895741629,386416813,449271395,373633647,727394498,347734284,12223382,287148315,67155248,669491060,912542072,888119566,55675429,17359237,29359169,778123732,669850475,784249755,898534023,747242469,975754501,355261389,98103520,38885553,888991824,567438991,539767105,741520318,217905171,938406910,960444514,991012863,887743765,935872850,123954930,277260410,757880475,622227102,748936696,119120740,296073344,890727352,510793528,72710488,518483154,388362322,875867656,934948443,149838834,473598381,52607866,197134941,900372787,918542323,959804948,887071515,396721017,126255377,910945082,75320725,757075137,738945772,477074789,73043753,277156626,242124511,353796082,405966230,907579650,559454138,401850903,289320501,580367026,956423402,383334128,158486392,217962084,100351542,627266404,30158315,852741828,38685779,359487251,177384403,744300229,648044924,757211372,608618902,709949274,774431650,50030624,882837771,845662011,884149917,886509289,828776883,349835217,304493295,280532931,937781840,653830358,761388380,79857414,466954147,791394412,161927485,883185226,637460453,368855267,895727304,414455204,511026749,41992615,751131197,865454175,915612067,95439329,956801634,564580135,493670196,243576528,592912467,965327208,722836392,669703383,808506599,397074674,776575936,673595131,260697013,401493934,965560807,788173731,921330088,60084730,420687211,798036709,210645326,306179972,134004315,518908306,34104910,800684544,784291119,59398704,917164084,792699705,301163631,776747883,757977528,121460391,473587570,430795729,965445788,841403811,258923773,232207692,573968501,149786305,29281179,363984292,869045797,826023315,741425895,636061738,546546035,133785744,859079739,764042548,802354412,7432871,924757157,787578336,130791650,380832386,824853418,527345636,702825644,19195472,311714088,999987183,386352721,453561610,101405884,217794774,554227798,386223742,741247177,184234488,773042155,746730418,201656162,512238163,860004682,621676168,612563329,188960352,561690139,795381960,580975369,994515448,651406105,806319080,393287282,661901674,222246555,390430152,173701513,916012551,691757183,325832846,127859073,77872131,415439568,950209196,107539137,292216862,159134497,262734923,842321712,810558124,123338743,228572778,73877527,725207314,449781771,126136370,493209802,122191830,461055221,927307682,942103589,836864296,812494051,480006228,574368423,147487189,200368795,397629089,749894799,847407093,526401691,825137320,343542092,630964770,149337816,487677948,323312911,605057304,49685560,658159751,135388919,269778034,335019398,915906471,615455978,908037049,370613706,292456318,95153823,936746655,664101642,134551675,786283958,397480237,489957991,883429052,58148192,163724705,556646778,487127893,873950753,240118459,76709311,488294905,857245484,470151377,457636272,460342131,18970678,52579061,365270712,30121069,69510073,63464735,675868929,519290240,372968085,810208216,35902803,354531635,718478917,739384972,895309457,122291699,149801531,623433839,109100382,913795799,579443123,145554883,67064978,454360307,761766713,767821127,245084073,639831264,633911214,684592466,662829613,168689615,514097300,864575192,127492807,569210589,200969789,672989948,157298037,260121378,372535162,740500173,614399997,209756398,437751939,70216461,919377953,636868159,611647266,739038802,669791722,634968912,523782817,246466077,781550689,857862514,631765108,934618139,134911091,499986181,332933853,2388202,904314823,101576934,268142918,714357650,500498285,789553540,869948508,15119601,349671566,460592097,731229268,460440625,504433141,410121050,206614040,784817524,280328026,990661188,71293396,546741534,916159385,467920599,479239690,855221442,734003225,900522521,448119365,15952230,884236467,720282520,95559146,709555077,38023111,425258929,667852763,150857760,543192919,216650584,996932464,563404211,387183590,376064719,675186704,925467917,518477309,25254100,87610164,339483852,950492746,687035064,95929345,336516408,552108397,872071614,287025798,573827221,349418062,861236277,610803084,93914624,807727386,511962918,118127131,750516545,504773742,698088723,254015423,439580051,865594893,369591351,505457839,909161793,125802968,648238587,620163057,752240302,208371000,554672907,908923113,691208646,680150642,982569843,272565607,220474013,289257773,831036036,478234772,904839538,883351484,243935493,435045332,67885304,599614988,567628384,692715970,488119562,195687829,477744439,89767695,81160738,541503588,742909032,532260643,870210219,994344898,236901382,400503978,600668952,960241804,340633329,107635009,374601728,19393327,862434018,119863094,182997012,837858699,717506034,413492772,472221080,194991705,744556528,144613995,310138987,565571184,858022536,943444627,962158673,595049979,179220585,704070887,160237233,477085377,255927738,150442171,931070496,597470447,671667023,168901479,253160229,570515721,192871455,284090318,284265096,549682217,388105147,656460894,152054205,983987071,703815544,660506749,49522211,721887506,552806081,789884098,34727658,389788065,145263477,34771746,424316757,429357439,150740702,245535506,36428018,458168723,71055236,997807635,566315912,988530862,336961919,358210582,18710980,922935910,902878721,617340446,606578348,484678172,582865234,352322852,905830887,491155124,823949539,614484020,172925175,838013959,381286844,498417285,168637181,887345322,735240299,582345698,457925687,868846067,656646167,142243954,985856185,36975115,888408217,289834120,532180922,201476790,944240429,697726890,295191773,227467691,415246335,297638632,327213240,460072257,804704640,472593394,5825417,335831791,127094751,428711710,733865156,665863183,56962079,486933019,193477510,260518214,693371689,359803458,134240304,779384689,291819979,555571219,724491118,581141362,261844385,84211219,167317494,38122087,101820907,527924199,301706713,485473338,448804674,866178514,52851903,201837489,654858746,338347881,306030046,193840302,825206474,816946438,500184743,783368635,372282411,759742073,155954716,246143493,378156549,645784700,13130991,627619075,699521635,831047652,65852125,771587822,178952090,667403659,652980654,453771103,240094761,742890135,109387330,222371791,313122406,646966903,20906564,716551824,712746309,430062404,152985948,281788563,695030216,467669674,387625563,996126282,978729982,452665999,374883679,472541987,375163245,450497146,771431170,141092259,96379674,467256840,819347245,861041536,859687117,700033481,305807697,272812389,172375657,737841018,828387192,255937049,421873875,896636096,293298864,351918724,823009369,55953731,307992016,560729600,539316305,178666582,668618692,98646235,610126421,180834089,185732298,628776400,924030424,838338208,446179012,776193139,821389435,930602686,144030460,215201776,664099881,416431864,928219177,162510839,136836401,285640077,935767895,324206298,656075340,105279057,683178869,594496694,450830646,390254356,801278184,751808522,580262205,230113826,392279339,468242630,480415006,250318474,738328138,133753276,346787716,311879760,24608894,957240224,781887175,446467482,782342386,636650002,644789936,203726165,108914381,945758806,317018560,652714399,995639220,556220212,880645629,728502911,403173639,898360330,56535034,977967672,499834858,72542345,778317801,124366767,904716141,268348120,370777691,196437409,936929688,114016085,843899887,59661756,651590314,220929887,792559410,851879828,297591720,356730489,233982235,786917250,983595690,105738170,788904746,945664792,759281859,996372862,143414335,918592811,927251733,301828457,63832378,942603838,609820644,641729645,877658216,308085303,43050301,989325505,15934819,193301295,66937268,10406700,514701720,697842162,356037918,770808883,340000141,135311152,678476857,621616277,226187690,584302387,536275848,26418234,204105489,52330170,330072895,757760144,898340451,465752402,629717625,267542437,445510822,218998901,766472016,142066030,316962063,770436254,263121718,273736303,163356070,905515281,753343710,375442443,437077521,496495687,87545072,988067686,600908676,214159275,772083458,392151623,973480317,174531099,710167308,307951561,757743388,470663190,410846582,788292846,271745627,18002451,928439910,668691736,780072316,971495577,256400373,176247816,651359766,683660846,365925120,178875674,194658943,995341230,295527486,826522741,498912872,375389259,639513611,951567016,685452215,7501372,75516535,412257324,31071168,577971849,878056383,117854684,367777950,768034361,598135814,242688966,456085242,402388950,308967038,440046966,321870905,577593041,967025720,618747494,619891341,312420017,664054596,868750614,57854413,95137461,657263347,262349609,650300679,109499647,33022647,530333413,957413526,485218136,756583954,461718628,616234889,589232521,581795370,901894202,461965874,831945404,248305563,370366146,678715281,676560097,198375040,726530850,613156570,657545512,782013588,433818643,936307406,206033208,302670108,592493566,969417247,224102638,727992868,511428770,572711193,577397067,560429238,230104301,234128646,251547439,569232598,797971996,996454163,17960039,546436037,266654814,813071035,918906513,227917633,164724075,444941941,486159419,635296456,394137620,12748994,575516436,607037501,179863956,410644517,258591978,270515835,407157429,7383863,965814940,277073772,868191176,689697204,396432714,881213179,782935872,977666711,534372662,965101574,698052880,438766759,692131586,102298656,902724614,64260801,179414425,524887537,934106762,288058991,515555007,765891082,681756677,565498025,958245480,541111469,10117908,154463138,500847302,972364,736757617,259041070,116335075,440548069,974112818,728313003,421926481,160443765,754814050,568410958,173201281,512704946,415315751,74236558,623015143,188685048,843035726,238928128,935375730,350815928,249602418,377139337,571527393,878097337,699794163,939215234,810302683,867077880,990366976,34807494,307856365,566668604,874199905,153461405,201656169,131604790,270179035,340429448,676511917,872175211,603280808,288881522,187476224,974729139,705501975,53210750,624682801,598638862,285769585,916760939,895448258,559085289,164795977,810468188,821712525,797971200,712276098,14319315,684362510,510110255,962549472,870909151,775812764,649067005,482978253,641987026,178051169,946384181,959691768,256284477,64294052,70010655,654071670,555612518,284420876,611584860,737256549,682138336,291778961,447682923,933038065,584879617,252676725,220330386,245438584,312526589,242559145,733882255,641792782,948371526,38372856,175792530,201276868,765661535,321604222,859456329,38448978,58579696,526744205,137658291,813631234,391090646,765596167,240397108,158882040,687158248,717161640,269235096,324046669,434245208,369474155,525735041,302841995,418208960,843231139,307067664,100711599,679899728,824404738,602712641,818037532,76958739,367922392,637698158,628898164,503061710,788455055,319173801,966191683,806209192,510490940,667810117,585807097,816347595,134832850,789521893,738410717,478206829,202198861,776934115,391851233,945990646,610241700,526017195,553111094,458614957,159999453,197503075,598454310,268982470,13396792,76210763,391811495,59331291,961069305,291000519,79797649,379321932,458409315,586498475,32237156,253544517,604644784,352698893,33466460,128397866,84591632,610152661,972917197,685982841,407047398,363909724,656792838,810787801,934844627,414070322,718318649,575142248,555199158,22072846,717413314,786622069,719560903,752319422,683977399,789890958,475394769,12494347,485631847,299655377,35778753,716348505,789926672,527126937,837134094,193978135,996551003,570101275,7841138,494342942,763539421,525314304,464604430,7060903,378451175,220324036,569221357,978704384,366355658,270561088,702743363,623613256,957692098,793947793,721914109,82396540,111300969,70598115,649545626,60749743,435791196,234664822,730946115,117342043,308965253,973235974,407705733,943670816,523753183,30871659,41351032,142604362,478085188,938149430,127520854,186204953,595193115,39680129,538968189,289341308,144766491,102017032,640463513,666025780,610991562,8130091,400660134,754127841,354415124,404291690,527047499,49301586,590101458,972449123,279635986,291194383,546493927,939066593,429487725,872399237,379111725,93384623,226825408,397427851,9596322,298212332,912730393,127391045,874617259,100923266,685445631,347587579,608929452,216192910,233165478,109866122,751247412,23215909,586222348,205117872,212442112,253421247,194483130,28291936,610676862,77107076,774261385,999969534,261230857,347196699,704840995,42395833,421532537,961732049,680426653,774070243,12386817,736377291,41017364,323032148,86378664,512043129,903586490,610159057,884027401,51947878,345033125,720862599,132352106,231416941,663360067,279609073,881358442,37603902,136930909,169278725,466701515,274388184,586038843,620946077,123349186,497883839,192980670,795804368,447642062,564248023,562623424,870091907,341325877,891860700,285200391,188066336,257831411,195896642,770488127,146911855,27352784,190301928,857403456,373323595,219028788,27517442,666561401,950958246,748225693,780552380,458273811,358439601,569625165,738609774,922625485,958581705,240168183,737837597,322724599,800793027,271158434,728745190,779002898,243195892,861811306,571460005,355245528,651116615,835324683,414041801,344852190,886700336,210587788,999140936,624231241,110957245,189745894,711900592,712590705,686913959,197156072,405180266,782182395,779742160,901805061,188068627,880971248,51891339,949468190,485129883,536192571,656637463,388133304,925709740,581303741,218502684,306765802,69438499,956069316,506741836,874728415,485669893,492784528,479320785,512064430,21181732,844800469,778196692,71155907,814985890,112133683,863887248,580161477,187355586,801113862,590430279,587005539,25017876,722036450,777931451,26265377,487508416,141029643,484448533,633759770,677199394,528916331,603627912,135710241,572969117,164856741,262070882,587535607,266156223,136275256,973313797,601214211,955160138,944591574,134765261,712073531,888054435,629141366,291948342,3472831,529505077,990092347,258153046,880594210,554422360,609017993,441823940,730361783,638082907,22982479,388808421,190075276,623194197,476647879,51977957,801917972,259294178,635975932,225994177,812751613,73511054,10384748,321215716,882737611,9462059,882961369,609820269,774763331,595347323,366791043,167472883,613015495,603881869,610339813,147615465,44589835,730040366,63074094,470020303,130902770,402810439,592346839,504327990,497705397,879838371,784745953,405040745,28531228,625884273,202403950,35373710,740178684,477180456,968802961,364043969,516847113,85592324,707527799,706751410,901481868,72522841,639974341,788906206,615794925,8880624,833961207,946452682,323621443,703860596,741598891,155987152,383232499,291692448,334527017,311657264,928134642,538465429,146179557,505546368,450125862,933122707,640359806,204099097,233820497,24862116,181687639,45355096,950419730,405629676,170976257,588899275,883529247,22344905,996820236,283906693,492578350,164042544,905730439,462138497,937745914,126694129,189191329,661929751,914972532,478786998,722778654,125466743,569487467,529646018,270815378,983264373,209995394,459672602,254581458,829478238,725500828,356886710,383225336,403567727,791770486,107430562,820507011,599524720,363368664,486972586,212797959,243584123,297182616,347268338,369623847,308809369,269612079,320750987,502543402,43953442,249941011,949751701,348695351,906451067,473153203,776299366,963824407,896678266,163165562,961786505,191899485,63842725,353798124,860138338,70813271,649126846,718135785,531173832,376551,375388868,439609514,338387113,575352627,901901833,853967432,688025479,132711550,215189888,800185032,567106499,779909380,123924753,676455212,176304453,870512254,583193978,76466762,888295234,382442413,716162238,8610800,477368696,286768668,437527221,265420282,811616477,324637747,137264749,893145168,496074256,420940472,849301008,136286701,813834949,503816593,755016220,539673923,885909682,85932578,639096227,214355545,994187065,241608691,471646715,887931715,470408284,185697376,374616998,718492062,473510154,578272650,999834361,896719494,856168819,45061071,247323494,248897060,211924520,183071433,987944833,844477146,84739747,574423453,271687006,809815658,402583453,633161532,563706336,615353141,828261862,550571968,758189436,227886391,275193455,100157889,778234003,748322611,724434762,458540265,798725580,592345040,910984644,619572359,367413960,330597467,986866851,871559106,907416455,762622571,822177498,631798314,874668925,839735475,820983193,751873995,269478987,322073278,349271861,270339518,325293065,602274046,395997911,407865489,262424590,215529374,390488705,806019090,741628096,782694749,222749744,369122762,475119304,807637095,137338104,418509382,109721406,839161715,245503790,913316106,529696445,160987381,755174540,664403805,506677552,921650837,323108565,417411536,647363506,274143311,750056862,790001962,968486564,605237584,102201993,809713536,164437053,687417500,849557812,545948846,678674703,278932401,6918092,579005667,349352875,565838776,377763224,606559358,78437169,457921675,248888513,386936840,983443110,4063754,727850861,278372235,912638489,551743408,20090741,966613824,855539993,614145159,876488463,824553596,656569962,66120889,733870574,973782071,691101542,559761376,596296428,579553544,867700646,862196586,217016089,815891058,158523224,937155725,794887485,364154557,692352489,396378187,835099487,838454049,735284630,496770360,649907842,31320500,612841464,675910987,50205885,73821948,878630162,532091273,787743725,471166935,390643971,536918634,411733067,635778281,881441675,222902532,617000848,23490124,776065500,538150313,496212149,698435592,358665540,960913113,673925250,603544474,4959572,366065473,657489679,626026794,359296739,462539298,195345863,355189878,361875357,804099352,759320339,792900014,553507191,352819975,880938990,725076051,488976734,27918088,197614676,33200102,763176346,363935980,753448034,594262111,60828043,728062780,438258859,346510882,359708307,915349300,790814739,587160083,512078790,537513663,144979537,865505725,878259433,819173934,306040556,551699463,110634356,935907812,476626573,728135428,153018477,859851371,444175863,456520545,731372377,100667793,764970082,847779225,39232627,916386408,142170074,752433909,946888749,589967451,380629639,262068888,562366262,899134921,734854276,47203343,33235758,701033083,583692261,518738374,821771661,170917934,475545632,10827000,83903728,827000744,388224923,378881512,260075729,312407158,850791856,356982719,926314462,682546344,594933921,183432962,542634264,293182604,520623716,661155513,847860552,60064434,129648037,883095294,840151409,717185097,438085026,640716462,338701108,724760554,221236683,49975012,209980906,964320310,537281855,300657539,705599867,576214468,858008059,684837178,431890950,266242056,791077066,86139474,968547166,93929277,73903026,873247058,211237509,948933633,97313275,156471471,156195812,533065676,879025855,765442455,75263811,14917530,598880435,309578866,876875368,518086493,360445225,372725387,355995964,167308009,816380100,410226415,545975741,11596662,754688063,982339790,413870145,122185786,210618131,917576896,403537201,342406270,344037789,947027171,139222145,399928314,567933579,372937876,491944441,350754469,861838337,505698952,974688904,507321266,469916161,710960626,377437695,997601050,458217160,467505678,548080703,652264870,709472447,240570054,555730989,716700229,456345140,558160065,54225921,560393536,266233377,844953830,657944231,566473576,786832050,465773208,347584768,814899933,270184789,159854693,70924549,964037299,788370007,825939974,891372560,848075490,719105910,691158970,273157599,915184192,395831323,213871679,515297307,815337133,22951905,107496558,222208598,510848518,539467548,291158711,736664142,314038330,653072699,996495000,391521727,327934919,702709827,571828044,277946990,84960961,896648388,931974867,863797388,12210923,812497240,105032477,89985007,78564304,556762055,138510167,139536656,923741819,221615960,707365849,626596303,846641,210064003,627169362,911970605,216570752,693902578,416042938,209751607,269737997,852295719,412749144,275090529,859435303,38991556,991294061,492852639,389595239,366278485,797300397,561854198,67966987,456971379,752703864,890746112,584609144,807186312,745104189,617969324,872052726,253997476,813919479,868790462,689886206,572389277,208755844,994011150,727636506,278499944,851347836,167044299,293734898,956825263,714523021,783585574,655831720,106212024,974754339,308900102,532350812,526602021,213984817,921553945,532106960,599972247,700016153,308885342,468173839,812912256,59583811,334290120,350684217,196983789,748707075,912255904,15443246,937971092,822428490,859810106,978565902,770573356,722999925,971196807,116314098,31802479,283006767,96699880,673863742,698642333,339733510,131739668,341748502,545782183,276600793,959694456,139212043,649379470,971902479,580700004,440517362,47768160,227695320,853452964,113510686,38563739,216683081,643929684,285518142,562912655,703139411,366601261,901936887,703303693,995603991,45710680,171039452,838501261,469514072,486468899,676101921,280213057,348567783,4079998,434969673,305152566,639148785,486603449,792126552,382195620,7319566,74267223,896452444,251361974,141089098,696671065,855680031,976196970,666842442,638533162,851484296,869838328,331217719,959112626,249799191,673230230,207203896,63412688,48607119,410801296,785609729,912671797,129782268,25720480,598056530,806446463,709797179,886839954,804920990,2754095,620221783,292448301,100767824,33747730,666182562,700799054,685715281,606431223,519931824,826834483,285052414,92740613,821755514,808526209,649777757,84364030,714919204,965136805,744753136,122848413,68524566,299937457,196650818,515513830,291937389,586091769,762410349,668542901,711877741,699478732,612076786,786759108,993783726,740834952,519112668,184107406,320294546,257250095,878952113,105865000,921152926,825990301,373452043,284667329,660768553,96347146,242580370,892736978,854049911,55832872,738805178,999131027,478464729,973247015,409303979,537477462,94133910,26199849,411598243,855131236,470280769,394937156,12704950,63556812,351581766,769921056,539880776,636907560,4821151,311090772,725817535,481778787,469580583,544360258,132466360,331305815,115080132,188270412,113721961,163864476,757926961,331231551,439128171,425916308,435549166,529618696,320059222,851648305,403737998,877563729,507895691,152774399,714367909,182875281,400263381,946294726,140818999,170170842,50269688,719131833,663913074,68338545,435462774,618023833,402581508,505603739,251836078,923265683,999822786,348717869,917555223,372614190,481756372,637037413,387095292,97913949,38491465,407883443,398674811,403136150,577739117,225819343,635279345,353400944,78091574,29184080,756238123,518780154,811104105,562117039,869133267,533011326,604439510,273988040,697134195,886752860,782226300,661864060,876678632,842626109,201623563,512682538,376472913,666048515,682763874,812947994,878374994,754693877,337492642,934159197,666191250,113664860,337489437,763011534,776088717,276878739,33999622,174516056,323119595,101920265,223904764,67770313,346483968,207216866,87467065,605507897,377369155,787536791,950155217,315901113,437346158,644312127,312022347,445472361,252822649,417335901,214344964,425563225,511401058,839864888,492066899,110832418,569941128,423699003,505674320,479989995,15448009,751831208,442146097,46305793,282361372,605560672,992619680,8790253,235156179,75887068,742199433,918454676,326772474,613706758,883650319,646959262,787036225,844989357,960303767,133626961,220205778,371372871,172835284,677532641,105538284,387972456,976171180,988442753,159883071,933210879,51913104,875456011,885254378,116717762,311929673,598736631,714071059,394792736,189835722,859946094,955517484,567430702,603976507,474477093,88981945,982643699,4672762,995784080,222286788,766744098,119597245,256842706,862253875,670399767,873633816,545033465,31779959,529352301,359192945,688651050,759655278,362679416,487365671,317909358,961086252,235550135,295182377,863276550,71541398,385840959,306965088,63317983,551548694,595576502,929511297,143513523,560374794,840040880,184002173,56128326,327737922,446348909,849995709,665794467,394549856,666121013,117260902,329659928,563985786,138080886,824943509,304845476,660901139,811478520,176757366,618032086,292708041,521156851,969131643,783019939,96005987,226011296,9155534,419584844,438076874,153038377,736575732,160157331,582305655,764187908,559595917,733263173,147469999,534729470,175870344,581706332,31407639,737149590,812950356,63705689,498732263,942213672,138613776,147425592,329046423,379507102,746623477,205755272,684775241,340387201,770549575,767423163,565950324,389093325,993408069,612414817,318815464,208818707,876666783,648950819,182086737,89575221,125786028,800627706,54182401,767363951,184995281,24293548,448913715,399640729,108656654,526127648,556845867,11282769,493970231,365810476,308677129,993497328,944383658,942011531,864234230,404866642,210767025,225072958,991022563,788316711,562421437,831689009,253084075,4555766,523353082,253695448,267349651,330492246,914810366,71209315,872565141,328750605,553752543,976380244,526991670,143092931,251014484,342518217,125295154,654427442,511119600,460453245,82717411,896619656,213626802,764362914,710743680,961615757,464785104,132433702,794579890,188135697,168316432,757736042,738555150,131164039,693056475,306641329,643558023,987291572,138042905,590497194,677132863,230789332,206940626,768479144,937111229,306931555,330765231,59976762,317688534,278877002,673178186,455359187,590397471,150252162,7831118,605225676,334803871,876946581,450021354,219501320,554359138,717448378,328813999,848316579,676187984,756501199,719563236,194517457,293069158,23650785,973241055,914665615,255127063,411662607,333547431,157515123,67399595,229641175,287475249,461357938,960672790,218088253,212957257,599881906,823041642,242687108,330692695,863338848,780464024,984105034,503286716,333698825,214924562,702018166,158502303,517975303,418858238,369000869,668223521,595306717,226405167,970234187,142200758,741811193,422011562,338962407,735909941,704704395,151248053,911812613,498805001,273010992,367883707,255612294,364299286,423538754,974484870,318963887,858815964,311808432,295657925,301439654,655760000,641118082,231997553,115785071,784720052,176189388,662558970,672451012,437556258,885818501,274060624,501912870,548700662,844231988,383046448,995838821,516901425,765314321,45937700,717459685,418688507,825923604,797795246,107378783,900147599,79585847,613115569,461171792,381465177,395491030,630588457,997637140,281968763,175187083,626511030,196070666,686529269,205678675,32323479,567954883,561326924,528996461,874427185,652637279,79254490,188500783,860014879,958962076,68934893,229244688,826580198,15592540,881521586,8984295,445299760,282220266,559544769,518601731,521945886,426079554,927764364,152795834,668371735,119508006,83788470,132317993,478725017,85094505,953046411,746644289,482623018,676652072,705761975,497207426,597473768,711570428,658596893,708307213,836999630,705563100,243746263,147766240,792684972,813524214,953063157,269270260,795455942,772757748,48641015,516115979,847600803,377477207,717718098,671350818,122534310,962812318,369744883,852982630,363168652,393859648,5509414,725940647,790909575,803157461,37103540,226146560,486889733,125323459,741022252,516509770,174354246,381145783,673679021,314491062,369255021,530632681,745303096,839163887,225083963,53845047,333873981,819806364,312804930,231399892,897145085,547473991,388301132,531496549,799346566,63230990,428493445,729306163,884595612,172287890,298753505,722859934,778637079,704585127,501200133,490096595,639537497,733981400,715610865,226270154,693600825,280207702,21665100,726135415,864704909,280622911,573189685,829750085,526950147,133758849,103398289,446526685,320659958,923417287,910416745,2774804,214833185,113515060,27439599,475423287,113886584,198228096,419352523,416904595,895166959,351677316,524620439,695429652,379472910,269032851,702773717,97926391,425053419,746179303,587005599,255079370,944325227,540726867,693744002,909987355,411048237,254180465,694051622,728147556,823185264,41181497,705102416,632432010,143628768,685486548,122401526,992271099,112074300,781454918,350411293,83652950,443107100,121603557,699383372,525300958,312297366,953085848,863494528,943118806,320720579,973764389,188778446,619870529,549441636,55016496,997034462,482472114,146304099,92677793,496147315,837438660,484172099,185446036,810324844,892431164,503308430,588161243,548847707,948720549,229380850,885513530,633252580,590869059,430577066,593597268,363606311,480784146,709537735,410119907,952851057,575369061,481863844,374404189,600603335,89258047,550601314,850169213,33427637,600336493,783563755,474814473,239919447,896811562,567159407,180058166,926318362,592581549,130423912,682929618,383921878,75302368,175875569,266775133,871889617,248320773,61672667,295366164,369760337,588746476,257409150,57774210,310566013,189513619,639648425,268855558,658392890,384694261,608496104,38307741,379073787,194800450,570148627,44073480,326775284,300019584,417684464,439353244,994363867,293323217,545047441,223765773,737970641,26364581,523601477,775676507,284465174,999937562,226470458,122130382,623834719,386469727,140106320,997437587,44470756,235159326,387806051,91999373,111967406,892882023,891038089,194082042,248162319,738202678,803449095,300275580,917334514,318571309,11067579,273973771,7778693,769233552,409819160,228530372,757269050,465749000,194394583,442974036,379176647,553362305,28679814,368616016,990357690,347882475,226945833,364456847,371848476,317920082,782856875,476543678,915949156,986584200,542947392,965004340,803644522,919783055,993403048,73762196,776790852,926328899,830597370,774367212,94152712,9210042,433814831,40225957,968165812,487336188,907840883,885931161,354400999,985212614,418199566,900265838,642149262,103555583,46497210,599421683,714105323,796500339,446980473,855552989,641246639,173180807,370208248,387666465,802396743,302139536,513221846,15630988,863620847,545356493,44525988,746475254,106229667,420828135,757123985,857492182,952496679,161880718,573795078,182241927,695441287,990924944,169366860,663397280,137679160,316519941,518766992,270932403,90378789,678670794,727684729,396749272,181113184,118323329,697233815,737613471,81058359,462575088,452628347,503638720,310806586,436967111,876207731,844723443,390152911,807419853,405883143,411663147,721270814,430493514,24343714,865536840,64555215,860650888,945164870,2720959,312828090,568559199,732559882,20822479,63927261,847120586,472941584,981659648,211074673,315578500,784307682,834869734,815164525,913993554,583533488,556398271,260150506,892584147,957997106,222943457,11927161,977429913,395939333,436635312,20917574,123386309,490167761,863623792,882755007,130194285,202288306,178207677,686525689,822607927,8133674,572039493,545101473,61615512,761416750,271328616,467981999,864850589,33208149,306799482,507788622,234233829,757243321,91088181,129180632,725627143,826049384,334064371,64712360,578046951,844640913,648374111,59780041,529305139,60073777,259042929,149311122,655864759,934306261,356024558,319674157,186081142,415493718,21585018,400487257,70941995,557854522,266552932,94722602,779316998,628986838,39166078,926118563,220048867,530888157,225465931,352817318,652169191,82368958,24013479,84412998,561097752,507389500,991984981,775765505,458048028,948326856,727891682,452164448,410431161,601306250,498425941,406824516,287136374,4065486,570336637,783153553,653059435,144767272,117348323,912284837,966672962,112749333,810463283,88986145,647233700,751092668,675686255,737325229,763491790,410563701,653769647,756650826,869417631,533570246,621024307,101221913,798629465,800304543,27129210,325982142,734358841,123458221,505387384,47962002,954900617,829706439,267656728,761471545,126962153,276504903,73206328,480752117,734057964,682511314,707691086,513851640,622848554,808690529,861718802,839917220,969856363,993146342,496105875,252355034,993502530,737227128,15143444,606579614,534860138,454023870,595947392,829000635,843686017,731599880,88939077,467654711,127630988,350312755,601967802,97393114,400571239,352616975,542370201,703446718,300478932,572733627,934880095,120000520,502527056,645539731,624211535,636190024,805318227,430637917,875816828,701226902,278391620,193622805,414594389,480921965,155969988,948307018,833802462,37656550,534776976,113653705,295229486,776339318,395418750,882886808,729980775,703778930,13724585,680660998,931610295,71021575,250809298,217483323,248262216,551356857,536861130,55267817,537827318,570911128,286745233,282624739,905620052,709416881,935233287,473906786,367790645,695255321,383493659,834440891,89625448,102878443,582777883,49304641,490999497,392351778,11894370,980408328,165553224,182842134,961840826,140146407,120313054,848017614,687923003,422023464,878209942,2769943,1766028,249718926,990130836,69207214,539273022,820091329,834654324,330710744,677029111,326468388,512832726,346895817,215884219,237033546,972684946,37761498,258081861,37740117,47794371,613678551,177930103,652522955,134819081,225079899,4809048,308957511,101526192,32818356,581638000,409519726,855120794,934507490,242228346,614609769,483639142,455392501,176074851,725759663,666170013,98785587,967379221,784122314,445637175,683825852,666734503,850985281,801067138,39211581,462803606,65591743,874419627,808507425,521587806,946096027,565968967,680333938,6864633,120325066,137247593,499908282,397385449,285396434,485746337,487845712,778342604,334400494,784464098,758433617,458518671,805424884,159941429,970222267,836169701,464169997,952753586,763231971,653475660,766366420,951832681,919453263,493210280,606992708,447972254,305969600,675638147,721740410,873908893,695967912,308354116,767390005,392502069,473155221,965413583,687277870,23038315,534999093,542567275,799659087,231163995,205093127,30018822,550186300,23366389,463379960,81716872,455290643,137946304,761949869,769087415,165389343,738695224,263003108,947588561,880834637,153285946,527180086,112708418,775511096,813008890,699266831,167206283,621315757,990049771,922098298,164595706,737957403,331051488,31969303,638341940,696489443,370796197,268865905,902080576,731074380,54991287,697144386,851286387,447120651,231516007,347836430,919873569,335339419,92199506,495109374,101529686,420869469,88288954,750004624,231606357,272473238,853684780,19661124,414738889,300326238,405962189,134746369,875575150,10660060,880998108,75555714,958365924,506485484,274943549,839091815,255948682,213140836,79382250,254623797,368427476,8974237,799414820,769659576,895541091,45041762,221683177,855644499,459513751,169087417,373790404,91401149,600146641,357858955,525786182,716297094,615704037,822923297,420304957,547849722,204783207,389779180,484219472,675110924,121831266,379494838,420758530,18881439,592334727,419393073,864175089,530131608,922039031,24280458,848566342,747700528,911330309,742872243,520411171,164667407,434203253,215401177,759496974,376656847,584455901,551480564,205341919,120530247,814037550,149730787,944836678,863452867,742648620,505717176,596522339,66088190,963093300,447284858,432425327,143398237,606475325,104109108,969142509,414536400,324898646,851411514,497311198,259629141,780627408,1909915,662230901,696407787,220603254,479622739,891463842,847297007,395090129,75903537,651958547,922414329,321668793,686813549,280564504,352024707,440549924,516904474,724857036,170957567,476651191,508398817,576688146,943523273,11746091,513710746,359188318,217503521,523726063,894701604,749593543,488040162,282699727,330211631,438623529,167982367,87651605,851357296,546612581,693775777,474861418,187935321,907700928,308895804,642401441,674420043,983114993,471544237,640279443,680421308,589839286,707010122,765218124,826237095,524057781,896350341,162149681,882749381,73864903,195801114,110615316,897264328,745067112,657537392,560852266,634337794,337560761,893579611,368188036,300182832,641421337,697016721,941767281,241220988,515766449,247070679,329698837,592286686,104348197,546227361,634155051,190116580,813943111,639902950,868531112,178021378,2448280,354904906,804782883,863690283,343318360,381654563,504082070,91902746,123148687,540951000,630424881,298663486,591749666,227645676,690211186,675834125,877462241,618069862,161378001,116296658,543019483,848816987,424345466,874893247,379509284,603480898,802238757,601823565,752595555,550713120,637674732,843784323,742176862,712179511,283406199,47948563,674533945,641600929,772053066,380257605,284019266,831604921,456904246,784735856,571475525,824173751,792991498,190537707,272635303,973320650,283472404,388861769,370326799,934049608,301148831,566105445,351830806,800391609,310274634,338338236,23844802,79990543,52698991,196927988,702995024,507010711,693143364,502752195,836814330,56696225,400550063,637616091,179544174,817741074,759434773,580666903,293174662,407469608,51310453,648846915,659313551,135017288,267882643,393484292,857911933,776428996,299407667,60948276,924612038,41804827,670287755,344388249,505838339,551803989,826211050,908755949,448515952,903953241,756564178,902949296,883806580,687260726,213650934,849181416,604526745,591191644,572852655,293025530,136346898,713776235,154384447,284548878,843940035,366946564,415403598,958827073,997052400,989794300,773225865,852768823,595164725,19152157,889512700,166163264,25512221,223515806,169621595,537337393,313305329,145114193,328910071,334699929,798455684,642150574,413642078,442604319,990795298,239023427,425729731,685718686,272439018,423771334,377768400,396497290,446360628,427756252,790204582,746511141,936361879,265236016,116412745,649124670,710948965,721631433,490255544,777872555,898019819,402859363,500387538,958123638,463980439,871487053,136092929,517622780,304855921,300593628,708381587,994671704,988234501,167138683,1179255,20854996,232888751,375657682,542158955,238145782,817363739,391328612,823445815,663406329,955990594,742481676,457670654,484902679,501951815,744344745,397590930,626509452,417428563,527257343,552592557,303621882,6076450,583849499,457693551,610819310,580913565,824468582,550177748,357623750,317382870,467366992,777992700,329539640,287954426,833292636,127870171,495122481,740468222,155146511,676781797,781706134,204942367,478370581,280420376,379932078,890316968,927421962,906620313,944940125,293721997,355603907,942436763,626144028,19847359,977880193,880713753,15647815,999209718,582115954,173069346,195006436,244431226,477109681,72544408,305296504,952529038,939462317,101868540,345069048,660429392,127425877,248557860,137213817,641789160,763061731,865107577,89387784,878983574,847286802,893106399,437437034,650821692,498106134,31245637,551489736,992758659,212139721,230306804,31960949,622465855,500503388,352210238,133051508,324555984,890136870,508273031,408930764,477200699,984043459,323331882,328685538,198514383,765127071,968994572,725917927,467404717,406549776,310646654,839249931,85875958,937590786,520682692,733644112,479673111,770290703,185211688,991789307,466328798,89522200,768258648,628337631,881746144,14306613,690076360,341729436,94453669,867485922,615769893,821430188,385952105,441002266,651360109,814401444,317273371,564932610,9904579,636164812,25615686,875653400,580902448,935284196,572466500,47999693,528401066,855324784,431626156,817202204,514095597,910827885,918314679,823170751,694234807,720910491,249560667,522303565,561817999,960685595,855252438,678052111,860917951,502261189,238390129,155704571,454279051,119093341,864614103,97222966,571846938,810556604,279402942,912171467,230509960,526208012,369913871,125045390,760793005,137086787,571818670,806974348,385397841,503521973,387083047,381272921,938512996,409128060,854959831,876940771,593513045,233599865,854815404,435059498,813650105,971638861,901723598,118541747,77437649,371805533,679297158,638122463,648723168,995745103,560056710,182170648,557442012,934884204,724264539,970467346,468130245,835854841,865719074,260951243,509544356,590600546,733332866,548285835,910736513,84776589,62358096,306530121,628467337,239605295,687483537,610703735,786586042,525290048,294182103,942080977,840571418,139439877,33688697,870049565,206001236,198189030,961484305,367564080,12835874,288475999,793451322,995502312,264237994,625376527,227858208,993168449,449983177,826104910,710164359,707669920,518085462,884336555,638129314,397826958,594658354,928662744,618383946,150541168,26962846,510537985,16069100,62301131,514036619,476465911,943096391,764722841,798453292,548829542,68109785,143301770,731801154,762742634,735940665,642042090,597783996,647814934,752296191,834262498,877308013,761342004,368675859,291536391,494832052,628768304,727852766,162663591,654764636,69873666,78662978,878252023,51636135,441401046,361282855,738983715,895988464,687045536,381985180,567957065,759777637,29023851,439002304,499762587,34467163,220579639,763651762,297286693,942102078,502445897,156628071,259537400,524949388,552082426,732484205,96568926,926150953,771014713,709877763,268834444,50622949,105528737,602645414,270026629,363070916,184885664,196947132,995422201,409555980,563326400,615250596,884349866,55273276,570114204,708639151,301617528,361919408,877761999,485488199,842780476,354098388,608327575,7948085,46905170,552859770,603940406,245542218,861058514,815998066,739445600,335174988,773725473,627671940,715983866,677643406,357027295,996134379,988529640,778127967,303111444,997480693,568034243,818862023,716296176,8981061,338899256,768929532,196985722,256017845,52211725,295206094,547165570,566040167,503803421,38772505,746121643,368874696,228927971,683395165,397329475,872180635,352460027,52034686,45070067,862285100,115395310,634246436,944832606,712814127,733833066,470578886,126987865,238794888,561922379,407957982,709695573,194249951,558831115,919319431,711876868,895947690,600835116,5322988,771669746,108946135,768789529,934811615,224434828,675015152,695905477,158667252,851556294,727562378,357200808,779272218,48693648,833159280,955183319,260133758,962127052,245634628,65063354,715524785,535640058,365946214,511763100,789635766,955254848,270795199,279525540,34671354,317180112,463498051,956222368,126848066,890613616,746896027,74709088,889609898,213811320,921153176,829892199,25774578,845016611,755418628,774366573,897439926,999428903,599669258,533488962,134638949,72295042,846672132,990439904,277414610,41841888,882698041,593502213,887537486,808125854,295701474,133020999,48934516,550210917,741983553,832064355,128786693,309774374,475631480,702556187,82363731,930160411,464675278,180458193,669718794,841857873,854568131,311504245,46352171,960994082,912301090,933537118,36766416,559374834,291144027,527290442,756746865,885803846,65420366,396986543,893570454,390077065,607007079,65611102,342751071,743106660,845318831,943040030,538457020,638291882,325448626,77277750,984708381,932058524,720262387,290178811,121196777,753441669,199200141,102188144,201013307,661347561,854964016,450620788,449753326,667452744,100396848,562249432,646785167,656846402,945635932,755476019,595518649,196766672,704706081,403232144,728070619,417534391,604362616,621011318,298129831,514768341,324504756,334204456,908382228,345896243,681892937,96725372,28288478,342786790,100397862,162655675,641416292,562959825,825509928,119556579,372127030,603959717,996001552,899812761,254851180,948148529,641895253,859743947,198958135,80355490,605245603,240513236,561444151,843384186,279483816,253933672,78246128,93711938,838578905,454021772,66762912,375577217,630141134,762731116,204519107,397220208,331094898,133518572,292311009,484583812,826186558,488721327,661286417,415474043,63303186,522908785,69186072,682719510,998059750,635525962,511348349,879627507,236199437,333331490,348610128,149110213,684697173,672248348,146213189,219857943,530518287,195171667,948094442,700656302,170718530,871470955,688340224,807928588,617491667,417113343,746350863,264813895,758717987,673937914,894092010,541353395,58143360,56557908,697381065,784953818,583885161,930338439,752341986,601298064,39040913,951768657,938184116,916150756,720518849,674392398,39202618,498614716,837685014,196882292,937030580,477486626,848752837,981723699,795491108,607295469,556932478,763713445,340015113,388586161,958938279,535430207,254613699,525829856,496723323,646256470,91393119,419285612,794970929,751057707,145509369,929210836,360169722,767901502,68402804,250243135,327150889,784370983,955474392,27652690,587923691,927009113,352205253,803056685,422280206,407348044,956338869,897536983,327030657,406725055,103338775,761523793,648057883,386379252,920414609,362055411,840484549,655893508,761232802,139633001,685604954,453668255,211407301,795084832,833724703,980624027,929768624,773211528,821933096,735034689,938664953,437342674,505114605,676900479,545316816,971720771,376925451,546493700,822166138,231335860,997324937,51089353,710787365,783290858,29102606,553151824,326590362,131082025,434247805,832141224,579070929,496767291,330470199,465321529,656587313,468108608,76973069,141069439,944758752,903978155,284655185,134626155,149696455,792546914,350358812,653737542,832978923,765561552,516765659,497824315,980436814,749914558,92336473,24135831,240263779,52445887,761691225,202495279,263226630,435657016,985971715,569184380,10670315,301504587,953486251,967877969,580582297,110492525,700102901,167067531,120231867,643977376,838702292,704747757,839695866,518982644,853638102,852584109,515578729,801176792,662175091,694233299,138830241,642920291,3771778,514875037,225409844,89165750,254124568,702050596,168609599,723336007,943656729,257717500,715507424,430273826,963618412,420328760,251431713,241402727,87126518,887171075,914194041,624022299,697716124,543370037,426588274,861937974,291875948,814449627,119075357,554537271,609175964,587437976,66897890,148011409,127543800,334028084,839105441,67216654,961130750,985685449,348007111,439755050,605672068,190596560,559795213,690630247,898964185,79085646,304379390,477499208,798992675,282557495,832113545,471861974,304901143,184258606,975086745,566155308,728010165,527325732,669719618,407921089,389241315,551104161,539813563,6506798,258400318,831877216,246566730,377031551,243914036,524770674,696716466,275284050,3744158,305972490,348569725,655733622,226255609,936640317,305582424,532352249,538780239,396963705,746079824,800621510,985028541,634956467,999438714,313214019,210715275,504734596,522272488,276193898,339333252,316159507,827777538,404511,373412213,624844419,103363583,622908077,179301439,549012827,392506821,665545683,515207001,62563746,60927088,974624914,62539899,602493548,883975212,321338858,710470967,218365254,189244642,702018159,875354499,825180266,779666231,988308612,381075183,892719287,279942287,556511052,228622161,315652142,954219659,742018849,241680472,529618305,8933814,794915293,207702274,595275272,885422280,254850412,185504896,915300609,193917588,160356309,921692641,40357060,567892738,232232689,159263923,245108324,911791358,465616485,8296737,725076321,633415659,695497019,850750237,703425692,711323824,391576335,836214082,186215638,472505205,881968389,509828434,150578706,94533780,465573745,334367690,328966707,22061494,86178716,420770704,115609362,267060927,83802503,524101728,40612967,24520086,4101101,442973024,178160811,372755093,228225013,486192871,620791447,969813012,853986445,843592080,627298019,205054981,508425718,535200878,766114139,62776973,869533654,243704004,841811692,136867411,73010518,433487268,165198298,802559780,986455328,435742092,110608922,436189129,397527781,440574820,849837114,759026467,440979039,487904246,848926378,72013264,629446951,287486633,564469920,342319085,941301495,184170969,11274716,677361774,295397427,805672604,752698059,836435251,926657751,104413984,24090721,810595632,218340693,259296732,265896322,518604846,938415160,829356750,277346667,741957993,567181608,641411451,467905144,903309100,275680565,508752404,144899734,471454438,36451896,349865293,13239527,42962529,946739010,198783189,790291755,491176344,390682005,750465729,971760660,857225958,229775687,317718567,329317953,368233939,111339297,259308738,971368358,558059011,622438081,186337388,899558844,201742131,236841628,863128123,441150365,99257840,853272183,847355108,633079057,164862179,844962371,917628073,200462954,797936691,282567297,290539069,869049780,456795485,420568615,434560790,876300997,795065136,437349548,605178698,256901016,853964140,490905702,66295656,439444905,177198442,898364849,291518030,28515732,199503407,229599556,252539721,106219886,403868944,881965300,873168713,72815588,143999370,2826093,277280192,561480991,788991056,442705751,854922784,529192545,569536905,289710788,745306595,136139293,835603732,126811268,168564423,937564167,101090314,951226330,96135821,816007059,358609069,778065673,645462422,500331020,145082796,714915509,364177462,332549510,583144072,922874642,641312519,515459533,608030244,144940595,836424354,907649413,337251610,875563838,960302720,53540678,597334451,281236972,601827522,218815975,456579359,99924523,274332457,798607558,393024863,155876937,880212564,515285757,972515866,240662088,480314629,638119683,980236267,277495537,921179933,165028445,612591477,641627511,802763530,789299235,334409767,467200516,680248848,362326768,237048199,820936738,344498019,502552077,474588289,755876997,261309370,718377667,391489767,528788049,712477560,671316714,67575332,370151912,199200305,712744074,777806943,974599348,365620272,874629263,489240177,9909076,195817063,138756879,498032485,914975855,861837770,932270905,849957738,280115650,830347169,419465764,890683419,852339798,908768764,105688457,683319820,556534531,109332587,400718170,155910708,47274964,506130433,205852542,932773618,160871180,579686907,744649635,336196184,514630580,315864478,227684599,330868371,837387613,192528527,414254607,305676725,74946339,709967307,702276239,20913925,73139724,552283874,280904536,179369719,788024167,949693725,840237145,511620589,426443482,831940320,297506106,706304974,968238058,810547796,212555071,833120839,57037685,88788643,469975793,177567093,251815856,488609105,637536492,747421048,86043301,104907235,259304280,305332132,800504653,827505212,235947912,157035786,762680689,501627794,641421845,214520658,330911620,112348813,486168408,80908449,146357047,588603774,922618833,790777531,328027076,373440832,876372212,336677425,442182997,158577086,872721279,941490172,192651100,950121949,920798984,130388246,863589845,19446199,327015466,840746181,431984306,179483013,755393712,713851509,48893701,746018419,883765073,504331758,772146176,492272017,820357695,96557021,181776954,810717424,849210412,539462837,143897315,656963115,718944886,503637592,848011186,639542206,91839929,163567111,766979571,929706502,530631158,984312871,323518456,360147516,652364881,82667630,701437760,561343444,884628159,800309479,114709057,996311855,191561700,835505038,785966849,195355266,335323656,677539884,813447989,642591856,440732280,243592343,539772141,448568103,368439,926285248,407496359,465644514,374977968,654827506,608940051,696145267,229953602,671488569,401866260,955620428,379557012,178148842,846984594,661771272,29992296,795765512,819535483,401510753,666044510,107998653,294570892,236077416,841667007,450022919,163798017,226820088,254389907,62878284,462315333,316403723,834036694,982580324,526159765,443185818,660846445,655471346,656236737,388712220,527999410,503115688,436033529,386566699,284855684,411923746,291591914,976780907,655086673,415214020,134176614,344742464,274113781,764521887,448455857,338619148,287736785,162069939,117767146,275269128,807980183,677592470,8904466,745460311,396784442,658191692,749474761,708722704,249625503,825965333,608221270,638051186,815263493,133260362,144562719,19128252,157197069,54085982,814875594,918774832,74595292,254206875,428777065,197076641,398703085,754236479,483148150,297604206,576962887,268988626,11444175,788397289,89084187,46440800,899715607,353773910,123897304,177489192,569151664,446858813,179152220,647193939,827142314,542051267,980309899,361641513,761723933,376737494,32352898,920581336,888733704,754344285,420471035,242320418,111758437,156354479,547979653,925270587,753842520,836883444,723807311,323218780,802348382,397097667,799371886,494599852,497658110,160882593,159581809,925697188,334721938,778808286,983803792,776609535,346172535,918514437,342048235,32592503,959538230,195752510,744200025,394958806,307067966,353056174,33357541,938719452,452487831,953736525,91538788,835321933,14662852,443620109,14095416,144582334,994428952,221370093,103816330,98298082,112446481,600099800,711657368,795741820,633351938,726944813,878378807,816659384,893894872,170387843,101248467,780188561,232870519,100191210,701316031,934916654,381443339,271151078,16061899,555248202,384163349,243688415,186707724,181546269,982881862,793197865,157356563,294952851,712296288,512313225,524785900,509117492,580503429,54443948,471755345,231945366,898195979,577138597,665437838,542329524,636620541,800157571,442215366,763596409,753082067,547805195,28688727,805401858,247541501,994492692,793923218,237178686,23781941,892887311,987643794,512890155,563210268,711766615,179719485,212756355,73742432,382040913,774234845,205608438,854970604,164895028,685227628,372574990,925276444,625419536,924633282,760830483,193763574,322690107,110547838,390319102,9764992,666607406,596902685,704233813,860078670,276497234,539034905,496237162,842637053,419044945,855505890,433189403,566312060,757874013,292867504,505535174,579310212,629836768,519980530,740237456,785080121,182857255,193003601,306125131,760482231,221069619,23281586,50951787,627041767,394223034,345040045,522402810,559968319,967357821,722768843,308243634,356074991,138330983,206517606,504999298,316690866,781787854,730038089,443241546,827104287,887527553,994389013,123938452,826720655,875655865,40096583,35868985,70578375,413040676,734511721,595441334,217820515,488429076,701007791,373237357,959452237,823054378,446916771,794794712,45757616,324422755,893130620,929906956,152967620,319906422,968499608,242568569,136420576,519451491,855656183,209941780,915420147,659835020,258855951,614218773,390749259,809895336,69838226,978080798,4451337,229525206,378006841,235753620,581779628,599071430,634992492,237514092,572161015,861061659,507824284,288165143,544004313,267451446,912100705,94788648,183437500,753406036,12432273,684497887,213046242,264929465,87924610,400802719,714474667,383870118,953745055,773467227,751995346,835241369,803242010,75760351,706632759,914426041,849689741,626645148,387408606,522871455,503465847,1729239,204875998,724580790,548482794,855194613,677692557,382042476,136310466,100902360,394146739,559463761,41107191,619307704,451782019,722842261,149202340,527929095,343327334,920041714,219151741,317773804,458774067,685976648,633156451,777288513,659875617,620734796,8115781,558904445,330699046,297100803,554252897,339945449,476136590,882302308,195207157,752030133,272891517,328986697,251616238,664269252,196420510,805880467,854818014,210756638,249295726,428617938,625638643,730338466,665259552,913610988,922224435,935479998,860773135,995955771,24363542,344616096,947868060,480512930,152612131,622120017,124009538,502111162,592556549,131060674,857640290,874666726,597017294,215423175,556002744,335166160,904169195,903512268,642377639,212574978,744202703,934083146,680193481,861236406,38755038,625549379,251133749,522494355,983260803,307833018,951707517,7343783,879548077,326575680,13266689,618129471,367182622,761849392,298946502,74787955,276543890,128396197,513046135,680524730,734006661,792220202,450212445,893453299,403043622,403904202,219848345,157546738,143047633,520125776,127098725,862051562,134306797,259182772,952689403,756217931,849226779,861479970,407907674,278948920,846587045,967091984,268524589,640266995,933732723,534333384,63235519,373127757,569866842,536893168,618479535,529273212,774455488,418720659,344864787,639182936,893706288,370166368,828943588,183280054,280052755,143907082,831798117,51252617,866280316,29391423,894713479,47363760,709241223,178544838,171614155,836965301,580863284,692624323,662495888,175860559,593046462,312427681,440879106,160234840,759852789,475589953,67835563,223830146,36253693,857787674,743318455,842785511,595012565,537718550,247268777,688942075,50901933,408962850,79257096,903182629,493630287,82240673,666667994,515728885,143243634,124009221,348078864,900397983,713628455,752490658,767118452,120968954,376516280,362803549,567928938,131544933,615274934,189237423,752629039,779423227,937898757,431610733,888481298,777958954,3772096,997084290,251486732,267646194,886407238,400149833,675847101,289977692,586440003,965753275,190138075,473771493,741250386,853379567,546504436,385408901,905068910,514152059,357123269,766383861,171671325,731494758,863186618,800420383,195468904,707940452,634343068,184648244,920607596,180660510,540353755,524174021,987969893,660594493,502504720,239235074,317492939,600247330,542988347,993254229,177307708,679297616,787255843,368037692,403728984,862267268,728021653,436335289,561946925,294414990,120604902,216268433,558629722,308355883,688752881,742786498,465575636,455544983,780087046,319661645,431726641,405090230,852955131,493880700,74595975,170584942,299050742,518414702,605125202,935908407,909598635,81898604,928657277,685835291,901735937,412609179,950570473,738222487,491394226,304634203,404540954,228423653,538899781,267848758,769219690,696890279,495687599,698531125,54264632,67548286,650572968,985402864,760108730,593032848,555231717,949425112,747102551,494610245,887570291,691230408,833036030,115079861,424798710,125968155,374783846,151915334,359222259,845575540,405534026,670244493,519851063,951660848,945236610,54872024,741906152,44655901,352336743,586772229,990520565,966938820,593727091,889281087,581663579,169510,747328881,400448899,479154834,686325590,459304478,722066541,335417196,98275071,361367558,326683862,173569818,836694299,219038141,91650008,953673022,598888866,364291302,45150675,690194250,841648058,520655873,761978087,789020790,84838839,155741394,452635457,187666921,802402775,975660920,909167547,769476319,436769058,669150326,767354272,475024577,1240102,667815512,39408234,377346150,798680526,926737793,14628095,691460568,66239560,885116470,220468129,946508311,524054958,811121729,68017249,938921694,513449358,330071777,950474895,953684618,848714612,957459069,500039640,128637637,97127304,100095193,524635402,850509084,291688432,660856444,921667524,248997293,123121241,510057096,224626672,521573178,273462494,452256140,4055520,390275419,921264594,422278561,102047182,20554424,51293195,245093644,407149180,925690102,520245031,919073486,751701716,135206552,789303604,87105066,373680962,789135409,454036279,627942981,924865253,312139381,152771610,49407893,488882074,587008901,465960235,265116692,155758580,30509290,273337605,189109861,142854504,49035427,674270223,349238696,681997226,6203812,236039496,4241982,448518696,181043515,337989413,469422763,8746846,404507295,572142400,521897837,572711705,52706405,41200275,829782735,798684437,153476329,77204318,384520567,243417784,765459794,323189912,748247311,440456663,955883508,182914326,744610157,841448884,376612938,760561700,652218625,845134273,54936426,206011691,370738980,570651447,746960097,694717876,279158420,478964424,692136995,222525178,819192097,458784290,367166537,240148067,583025415,876173110,905946779,756825527,760735350,489436035,670991439,515957368,365398856,708070110,713445500,777624352,897561217,91129301,728049700,782302035,998276014,630413315,683950393,181443365,796518034,127543039,806821145,552317928,423164292,48893362,212925868,568109701,479181840,226400581,358922000,708316350,963868441,162647428,345951633,403125558,253569382,806938814,274682382,146101202,876863834,370207321,538965902,248123947,150724922,277452362,169740630,930282512,391436449,239357919,308727784,170868534,747340543,733369172,229884628,476981602,243879274,468470738,780243521,294536240,902801220,933012609,908906117,646633730,917488309,225841513,854494839,192084228,231109777,660040991,522476308,950017555,390620771,278533750,992481517,698504522,509835189,129087413,633710917,16933368,753910721,539931663,20346082,590571682,294645497,726375855,216212909,414015886,32597803,28668272,446679320,422154640,270059626,991070652,730206614,424632321,882637673,473703010,649015504,889191062,347572214,921661337,651477777,182399655,317500126,766906332,668128116,663392617,957301072,746148302,852604785,180017638,731166389,353106492,908401599,413236400,812515656,22411953,766521031,564514165,722241718,191764041,115647844,444433391,32239772,710675047,169017470,155364053,902210281,546095837,917184986,601233657,27182138,238360458,964160462,959276609,771590866,996640454,905369934,610244021,699393057,513606210,883829028,244178150,519040379,723129320,470753376,473528252,879745059,596595560,397897423,467492083,921099332,880769847,271291500,657414872,454981422,532480930,314577755,940795090,765646340,274724207,314077446,876069884,751563425,926995865,257714606,944861989,113599099,150005398,971439806,830793982,39120374,396450381,378057811,996148710,611278782,518656498,649374468,973899284,977336521,481414473,366341789,661000026,194207183,627034979,96981609,895049463,334305899,744419888,455142153,446588904,679797473,873160251,653843571,769966969,832290286,32902901,868343108,770515251,230276019,205951235,195454041,546286386,204371028,589218473,895920105,850783613,761761197,345638863,318342676,927633712,753193876,886211002,510963519,124885556,884570341,157638712,590178653,98945377,179808775,536235030,937568974,288712975,948274886,331881550,634353857,757393355,673292867,516125830,31016642,414063610,744566339,119299730,257348501,662277552,677976210,632514767,714022595,356463512,445835172,81112790,60822693,263284653,279148857,408619834,365426834,613869908,518460288,856929592,835542313,743906765,689328836,348966221,178233141,946484780,83300550,617207220,424121271,775408201,948766486,572270908,665503795,420516896,568600027,496372718,59805556,159753333,439754766,774779166,665732821,513252321,165813046,427552777,501248545,986746273,614019304,662789410,433093032,514183858,595142926,267506055,743242572,668053761,122006443,242475971,260320454,486761238,696471514,741174514,208470595,709524602,745688379,721395404,905013656,488037690,961898348,393301049,957946703,318273541,356614873,683240152,86339491,252242303,94772817,686975064,218819388,222598502,793847592,942507782,379082810,87699605,90765238,505825969,574261670,430246184,111393731,138889203,553104504,362692526,262002398,198327426,355650958,614774966,75930059,37748405,869753293,720137860,290784528,658712397,154138801,75545878,282424477,437472567,583073375,883778440,120452853,905154520,389495379,364552523,671337402,62006873,559141277,723930066,294170345,441937041,695763151,789022551,873471553,727356072,943602610,869219821,546139355,333760421,490314792,404718155,530598927,10561213,1655766,660561122,957123195,102888535,523370502,19913423,340470814,614001199,894493343,643584745,724740996,347205444,868462978,934462456,71233720,192820269,341894863,483575442,363793392,615703899,41530426,610643618,711175407,315383461,470124807,549500251,387619570,39353463,74161946,257432427,598957091,79122299,515605309,171144850,222467704,876312958,869008144,906359354,991046768,887358959,2998062,42244682,606802457,820435030,945278257,348174532,197265660,856048928,137005063,200412656,219275767,655118783,379829483,82033627,823449813,433771475,35616642,803939391,778527095,384390971,993844785,613163457,145936581,69209030,645028096,793305241,149351846,182304576,12578038,745135666,479011947,937781590,573695512,172145588,753876254,159388559,901067010,212489162,46282452,789315904,549845880,297953397,296966148,245394344,915256516,105541877,616629881,752031544,859862792,774746839,720778857,449118578,176251278,713918570,650596473,681705411,840538642,337062281,363127289,74395005,72504180,793721771,752608346,87047545,851317275,611117093,284968102,465771374,63277870,547255317,800604665,447471624,692163811,947039758,244037322,817926984,837787465,156086647,38022451,812879600,585916860,966561067,112852263,961926386,587938845,725168147,506505927,581105151,816047833,8301876,154807495,962733270,88957551,649268502,833104028,574493744,321080055,947734638,680301625,404047114,182546184,885050286,286814353,2185749,403312728,656366850,127723420,986602305,25265407,467338417,766081880,206507203,548629610,755640445,943757217,955201728,793809133,678977614,785091445,224179967,574428045,187276613,212216011,476993387,330661161,947227302,783505883,330122322,872326336,639332590,867007043,536251238,574261285,93741686,377476997,656432266,87986425,681180316,341937178,597909811,261930500,945645394,856226259,103829619,706837737,525494369,487643794,299100051,673781646,488944536,831900591,823626397,874546888,582111677,312106010,961333147,341349702,576227641,345038902,820709580,95910474,742330081,236433005,863855223,955053645,18955068,765990187,604595588,90773005,579390670,804286690,424355703,392307454,509890995,944483786,503989989,72616422,373958548,685627523,368543567,649617295,473788300,802095688,365984053,589279509,267911886,83021921,402997984,163397157,752367138,63736686,245444917,502356088,722780469,671373429,951560541,431510277,728323178,316091121,643170117,466419457,196685183,123538430,133895657,749004938,873324928,33141694,861230019,724775758,691914652,940196512,500792776,116815233,594381666,177571067,621827302,333167191,24518101,41413284,985835482,253500590,131041651,47425430,283229398,526393103,426116867,804368179,967914538,125995,513875641,131545703,714140748,263719060,434528109,723135746,277656880,924060868,999414453,571799130,771451146,82088849,23304534,746797883,222291299,48003783,650928365,282129789,792408087,867699649,672170461,637690370,587971474,751450500,240910046,859915261,476689021,515299494,268851858,162318380,757549326,432181018,395410942,648953140,372661969,299889815,597419089,574247071,446836127,321471354,251867548,750304051,98016586,952207722,191611246,939564147,642666568,250773804,644257420,100685236,745432999,807123894,476509621,783167225,673158218,576445771,222794393,162270810,122510261,531129174,805902143,410790143,713749862,796224386,28950555,530345152,447456316,989753525,578911610,158583159,446332158,545476761,848704269,727022531,320462380,891327663,586601136,314131798,392740852,898516130,252751982,312667117,363303407,541386308,865143620,182257351,580193362,802275639,824759852,525439636,388098228,203398436,752045221,369779165,386862766,576989726,652408367,382023340,801511857,203692190,48505396,665792738,628258887,970107321,456581835,637089456,479399978,762098105,949752544,247484042,665546735,53578362,72409449,207886600,272963010,852085119,349199065,997446837,132110651,483227889,841775473,904714774,637153119,461450708,866296057,869699720,871945485,252634706,165916156,25419359,727507135,306169115,719111750,569152385,211911820,593314160,635763587,612017494,249834684,791446420,969597938,792215812,486059857,418816021,854883057,741272462,307090607,545227223,616807784,695520764,157825147,55509894,54710947,401051742,473681414,944705836,921281938,827728454,303228186,54022369,583885208,663372368,314649148,18330942,277414561,379063829,374890745,647224851,218624519,413977447,192128488,709650413,797742594,188326760,499040377,290456690,868918357,750120637,92502220,908241898,293404537,19540918,735762928,116535022,796352966,934971322,549772703,386513135,329675703,906195310,344580588,655507149,261342670,691907379,621894058,625898307,967726115,9506399,13894509,642691464,843466097,913057040,304446047,657632942,733974725,679099910,118478591,62437861,371440432,740846538,314904295,251969414,981295152,937476158,67969020,56926822,446274134,197867013,750491124,724167695,618650134,91124791,795024561,782726988,610955009,73229578,908259936,861284216,42684369,565533247,313307291,908117302,351066919,33239469,368494655,349932206,326267105,777069220,949141388,646619187,652104188,659108573,613979572,519970523,896761232,581141366,507251213,614134550,281389976,762692361,800521517,614476007,84739727,417597618,473244106,392515412,842326800,76899402,179857924,135067205,159035886,891228001,545556682,753058673,713208623,299539686,693010361,964493849,28068328,926702974,162495044,110731502,827530711,219214657,437739407,265925030,741645973,291552034,961403175,268381107,123526437,345563092,375371427,671887685,529128824,403941709,829345245,680157649,271988229,822422384,744333955,583108432,851826443,775330832,70470292,123379714,369449503,846994471,384764634,138473055,99875115,137296701,961097037,654124429,881782127,817704544,236943234,65069868,850201763,687215016,72518897,827718835,855601984,331061912,995218631,344980723,485754731,692377712,265864576,176031367,874185570,829201611,498816735,729062668,230573439,832506515,344535764,918813240,358594145,461637754,4074483,376639845,640937829,257651751,255618037,701840512,291789657,645080074,846832358,295880587,570776882,763833156,757574934,571754010,470087913,397175663,261004695,267569676,96886704,365446329,334423528,122846927,219803984,288277520,30005991,423214481,706769011,886131332,428671501,701919854,917312345,819274147,232048440,532663351,26612983,648436633,89617310,744258122,540694038,71300066,469029651,115578805,818513700,176350856,485844976,26542856,51908940,92134759,372112087,257659731,711577965,424012070,638424167,185205609,299932715,135648636,770150606,992311672,384359187,6314245,435080047,919662150,733393941,976395414,439370250,763603894,701495011,719402320,293600071,391596044,36937169,985246774,918964476,295079198,726364368,955987565,745590535,60071943,448622840,16355419,803631002,348023011,258913618,40210488,67483000,795675437,129354431,198172990,736735054,916407434,92381533,717064368,957434693,158049568,4026733,596285400,31160033,401877756,896552089,161288612,284432964,77730185,71374632,147745860,149376058,558478618,125708246,582813515,283714928,939386391,786369308,48007517,496577379,865930736,265086092,545035943,398122240,838068375,91843685,662420646,665214562,151213794,324608622,797196930,135862821,653056181,12054646,817436559,556914381,613263381,735121997,310657433,903410263,610863497,694311387,597459204,122168567,409246243,126030708,476919633,781551419,38237327,466755438,172987115,948450172,950565806,919799338,811451726,892843954,121019450,971918178,366472010,880539528,926002533,841147378,629584804,425321941,44427657,474185481,782303056,605971090,279027766,182544206,323951367,885627018,643868531,26036143,794586594,313312796,644735878,370759302,303716918,645740256,947883099,804812889,820590077,918489339,721503268,365478558,299305986,209907412,730608442,206613969,453180033,660718401,712985456,792820281,440369194,588452859,525355316,447586143,755416500,184099262,601680342,936501763,168354080,351198187,270615434,118281395,487197805,606971477,422710473,869408144,58362397,398455366,921993621,302548509,940916216,595126323,351550489,813117855,197350801,505510241,652647209,676400268,873083195,254842234,737119113,981538986,216184867,38984402,603641084,356706006,832542210,701629353,38966880,934486007,222648011,524034106,679401823,42995380,960887587,322968955,837481611,505458966,837205523,310958291,834218518,188087320,882530642,339309318,5548886,774186365,55126581,153329408,921843297,962838481,37318557,316558658,405898964,302179009,895008428,704980201,115692980,616289619,30105671,422470965,372147688,408975359,834374490,128690535,238091114,300107469,653235283,258696689,723754292,799250810,421436297,426875724,627379467,316862194,212861259,292567870,72587094,107057928,625158626,354465924,889605769,535516522,122320974,780222492,155762412,78838290,542993075,783741614,114846801,191170335,618906683,833549087,978333073,325730972,973008,554376578,185567868,631064278,504426122,703966597,879759001,668378942,267525919,373125639,800582130,554317752,453395563,253144815,871047699,440162809,762511470,246795969,3579179,198432037,729627349,183011607,81956275,177823323,969874865,289999843,768770324,308152815,951109195,587550959,787866073,971240919,455934360,105520866,154224933,488503671,467933927,803585114,287435763,520722140,166885373,8939219,793981255,990581313,584048593,894308833,175327895,268133876,783004518,374119071,509002841,342607118,610283614,202107234,832545698,787162571,380143043,658455643,642195185,421062846,687232705,542563480,413958315,13354060,561120305,191377378,148778803,879879478,345584778,265107426,473617101,733407333,245029493,727291088,351145573,221766210,297243697,589953149,122058881,793146176,871389499,23008782,103066808,54969358,337834797,796335826,380660881,592741120,290920908,110097776,273945345,870191289,199250902,191897106,929821734,726201181,336579445,281945530,779486459,834732610,296483037,115386994,801314465,90005670,242641004,498780797,650934937,829729989,6250055,101062684,510419173,935009964,469728953,864435170,297382689,641711338,792558054,569088398,632214889,19529133,673514825,570700647,372659095,995517719,504625940,680827544,545368950,139757300,330475496,822195600,608280164,836918854,257080794,547138487,128477153,49950962,260424626,949002067,539697789,234867684,932434259,617144487,214506720,310608065,487426512,938616751,694102541,882031404,801767510,330399357,882424482,619783792,957319597,36837235,126289994,857124975,167158044,42202751,207618356,60578422,210951858,807769611,622706717,43516881,699573099,69431193,433951490,807351713,188505355,930082086,739657821,575015213,648746156,388392514,783664814,146620680,393808379,676070677,800329032,443080813,121171833,582628487,822863124,766830521,417848240,880487242,496710183,345637463,335913816,334488710,539291505,846870684,573024946,614748148,278225405,197956896,415867284,474940220,228240667,401282812,145136335,850879366,860862769,674030433,898699841,967407218,662617711,260188718,932013762,626485223,710311892,919647569,884764728,239049497,934246996,307796244,279059173,863502994,842756157,270302447,56130784,486427142,760955528,666183411,497727643,752235514,659196962,236376464,691304709,488308301,689772466,752922075,896850820,432766454,900536164,420451421,142067254,888162318,202914887,520189869,252528423,896148461,43309874,428623004,797848884,284223150,970300636,276153878,648219937,806889623,215699788,414960170,647343680,238556322,66819800,253863080,990816576,423965666,283460600,295864556,246515325,334535465,185680846,578869785,643925029,537303246,140796824,689568371,736265660,846745205,606636577,262227356,402192667,748165969,278305242,216308487,274764669,208516067,732852660,139190700,722946743,615041488,113938777,739573071,76085666,846167554,624831917,885508544,553645561,757273194,72797776,61337061,710864480,888834643,430217005,596819200,595973776,47590668,792272784,601856027,9053409,480606165,976467583,93304345,673009343,326872034,894337989,32740638,369059188,607650689,325167476,852837395,760362711,463437657,222280471,836898076,390258311,458812261,630259595,669545286,83700780,652489418,783383001,664659386,999119745,606554486,646490719,549950799,890518905,634425247,303549941,828537048,297274988,744411503,162456648,844079218,697602220,738468053,702546518,664229719,298094871,408468596,358906145,175057725,428280163,123494983,391145240,174527561,919408225,425567432,425694693,352398821,651850835,116615953,850325737,20890832,300926530,486196326,576737184,84930926,544794690,373186036,914998246,552748274,270597679,715147765,52825746,45715533,293806876,164867075,304794208,312531638,208561339,461238696,635338474,286591171,895830041,6137051,254160041,431842319,62217269,959100097,585989663,455950,428199474,168396950,442832694,423898529,157721403,795525827,530459192,437695038,442886733,678463458,841337099,942179102,538435426,273866141,83783746,527033168,373121825,206212702,737022124,989889910,320877500,683326707,741004540,573971213,635449523,303483178,10873287,805273541,810169506,786856008,448378925,207321386,776403854,70347931,489768159,493131075,573773683,123215004,898359890,233290576,241393386,464880394,996090898,827974790,418846058,300129056,775253067,770333095,670684669,666460806,504656866,390695524,806826378,277468755,519047091,848144932,823833906,525597093,525167158,51213398,993312138,144617802,851807999,333071486,561132867,618989000,342119032,583203138,484486484,719142326,245076259,752838697,127840864,582856190,337220623,906600189,363494024,761332774,558074157,900177875,66174970,71387723,41694087,228065795,82339314,814630477,678892835,555568471,466379686,997421352,133772779,27582946,661670372,51989283,198252047,997003270,320012117,320160541,907069135,83866473,822572240,382316892,944129569,657109212,433291076,565217204,938290874,72537938,659884132,626493285,739705769,580969423,835569731,302617243,107264369,25905280,715361231,187268133,253749628,691551820,651518567,795458124,241637971,11004841,134621212,553167367,42264991,784860869,688180260,747787763,180715356,731896671,599916432,133942594,936275730,681218923,745671286,996671653,42166412,667810006,455941547,139318322,565118063,941224400,36186815,166873507,520262570,262884483,731472898,197882711,611595984,958089760,576734356,995293320,701309870,774629810,977683103,471192241,230746500,308941602,782582665,746981066,503189902,242622443,144004851,219764093,69797326,135369879,195206200,987949131,3870140,121464369,177226595,40680502,331614277,433641582,544475723,337862367,464517350,481273221,797106375,443013777,517783312,162363610,136048610,10331468,230640476,898641863,78431535,120253436,110905862,947648743,117209500,226352874,213526536,166660411,254702766,256979993,169681677,513398699,603487934,528729207,493408158,793660306,713179061,157920112,110350264,353286349,17160461,304475789,806254612,413475701,961069815,84559904,118309233,247192970,45474104,425187152,838209941,477007512,8990173,306531001,632855156,854961784,699122457,160588927,264533675,392528414,202018487,378289105,610141226,919733698,694704368,60013571,532393389,413464420,473309961,606084597,406778092,640898159,41202673,101345986,840042152,476760631,390638864,334163680,899650388,885486445,473717097,804422523,648008086,807189965,723491503,207840045,538981609,582396408,114215828,844727100,922630662,291679374,338914322,376098108,57897581,481570858,108397800,922935329,512265827,614349604,657014519,232392826,744165618,127877604,554874390,482611437,396163312,494597577,723821942,808097407,228931748,131045972,417616255,529455811,800380252,222927595,547627559,668678048,122623875,48217216,71771606,821386186,313591805,234362888,94352308,907659883,655154433,980029655,516776520,507607316,34627093,473574378,519698183,303983128,939777357,856787029,566513300,167999905,561584603,328209034,533300436,909778408,582422596,992752219,3101106,443293817,370930737,513420998,193544401,712644811,771750719,534986335,952324215,276149214,92988547,814940868,287954444,590889408,927997816,747043433,667415701,228666482,480251360,944581131,34364736,419540631,503614028,335130541,539341966,246487934,364897467,566386334,931030570,189582676,269255351,736094644,170996985,803257254,470517878,395534033,481914480,859394623,340493694,238686631,734960758,398047727,851459636,425012231,875225830,281042766,122924977,350294244,694879136,929177003,882533016,194055301,132616923,637435856,658629935,834346978,775387232,817744912,564893145,593492894,106499434,120449649,524096663,672830173,952071694,836062317,588341541,369804997,821947046,964796894,819020498,221659397,851026132,573570475,162720721,836047305,203980725,589021348,250586791,595644069,252308421,555426215,9392027,125363374,352869545,160428056,494852331,231172421,421694949,968705062,701656916,193926293,771513449,642516064,70911214,107252883,87774313,928345081,52030812,799208385,136177634,593750270,907050324,434465533,695257862,493157108,215306481,522363120,589390081,202008631,169374678,756676193,251932506,139074378,509851262,263188214,671881181,328504690,783929195,171522176,383513435,2777667,869116635,90251721,282960186,48782880,729969927,100519706,306127832,77754925,470914455,441260190,978239297,203970673,582749883,150681491,573463688,33745117,211324023,479554379,50635577,614898890,704719461,217361929,558489662,418947951,676893400,97083721,403314690,827942904,926400335,486095572,16141615,885806248,464367906,739293432,325010252,561962572,807291394,330704,519951221,811603146,741667347,213820291,183956594,115243636,517460253,80459800,974764954,329869027,513146719,136684251,121011713,903212516,358236421,720789357,508044234,680048256,267357321,963428002,214734498,599181797,50709771,997750222,969043820,969823708,490106795,948323714,32289800,242273588,82324271,224813376,743461698,346689277,501334939,672602906,66201247,497725540,22752167,247515037,533425896,264256264,950938559,850965741,424444785,804181611,771100082,996074903,227641568,311464636,216923410,865960092,532312448,948279160,49352712,522596178,514285219,817128974,755799048,70343335,721096699,998175798,126249651,205638226,721646921,946055273,930118782,192231803,300891973,746994542,398376072,780361093,630953896,814966852,888350171,859073574,669322181,267241156,674037936,89863996,774167547,130810508,616908159,66096496,424919156,798725648,289751495,540417256,338799816,453302887,243381228,236085733,446675695,747127108,305901311,760555700,272607418,597362525,600674534,782690684,14916341,377705767,19063088,89387533,674306310,987982578,932356474,631657642,435419869,899017235,758755887,579699998,395320118,708399980,835370561,439754716,939462302,350459944,517725528,804810408,113385838,98406128,174855935,928696125,731762720,654225607,100052236,64408049,120530295,790069288,22134590,483156939,858978773,874504322,903196873,217932252,516399470,819260534,570471615,854423933,618269242,435159126,170686550,288737416,377540974,345658058,314894651,113676492,869390768,273396262,55827869,836107106,946815955,498782507,695610239,701622297,678939785,189238024,601108780,213816644,186311623,517948066,718418547,436590872,491031125,856955476,296953659,822881092,334001165,177396726,499359575,902773462,636891393,369600827,147828319,112450704,152801680,764010838,510215554,39623003,429453048,464397393,56970157,431634592,527568394,25703109,445265957,412632830,442873261,117227423,958691532,770715034,970440436,844876549,864045968,184027287,877504316,473763041,229466341,353091342,193493867,405958297,435290451,447993242,106654511,437308416,705178227,226148938,850928718,443147341,626992751,395978982,156996170,680395962,884777418,99240146,174918682,645840767,492002300,580694642,367029226,193964962,575352928,709991068,113854089,237017456,236860974,959965499,836486714,526074955,577471237,181277210,490923725,141715614,828299637,133169519,234436085,508198910,517559010,37367122,56779657,172097489,516242959,877302854,449749377,524707248,906329957,895764505,630425208,844426251,819822674,541632868,159948083,246345807,321571806,25267560,700918849,683224486,795648861,76462539,899594597,332401300,348697406,598476214,408895968,915994450,468057035,734480450,544576266,828767837,719245068,105376487,512530837,736357373,470029422,660995524,665949143,201029424,100825024,208118172,763985837,128866186,802411714,108950350,936263513,191876840,106480177,870323442,128554853,535613055,938288848,387714375,848392728,803940225,265432885,203140155,790304246,433539038,408457921,948152094,141824979,982435665,324219741,753133290,458391443,721247726,568041240,160924340,763856950,279534873,481832772,141031113,176357664,361022591,986982324,875032717,658909914,692023725,947179049,605808674,633449604,422936094,305482330,822728574,10895023,75447714,782956246,704436797,245244161,587688740,786549415,640337190,904238849,403310678,467763852,424853267,610892635,546796590,270577947,53554367,759958163,565924493,22084820,164252653,739880900,758403993,52736641,458276327,982495188,51748705,913851651,437155599,45455267,85456269,826097735,118969605,318220327,145152346,616152076,542785603,411298896,925548533,154033799,483943513,602941344,133606669,55432757,241267595,94753598,22481877,444786315,18464431,166650880,691834475,886718522,738297621,945172959,168607266,758956128,22507687,23264575,859180732,973210276,304454966,546246027,797561254,922748030,535938286,360553437,491275361,686043795,330572196,228192418,969523825,757780798,483586911,181902362,387775415,100144486,218254581,163142316,268531503,76425536,634018710,722133363,35276485,653841233,517599248,983559777,593495618,759767903,55171640,944214799,384376213,628886141,124033625,47557029,243022096,164935379,962245635,557957704,63487017,346745386,597612954,964079123,114195556,803102658,683016521,164215993,589758934,188479167,434217061,375327054,526647965,590190113,398578451,897578561,383336179,187164323,628805846,103664372,801453041,109088096,338550179,595978760,988977793,972786183,652487521,311417796,13494677,552090872,439620742,131201903,933723398,963441317,498082480,782142143,414393704,665941895,45267719,391950894,269477493,949683996,369957860,86331679,374218026,659060582,417624002,359591954,406935939,905136558,464801202,60319458,694953231,568985282,75846834,12757687,980277126,242487512,746027333,730909819,689930531,453520688,365264313,863362203,249768326,998058686,305151432,686110597,412139067,354383491,73173879,701124021,319475809,355053807,423226660,431088863,3968521,58806315,724550645,625102509,873045003,182369178,975152844,882318168,205337366,747894383,795373949,959324482,466179706,671192835,296119457,20887552,817306446,561043872,801622732,468992429,540056893,158672635,522004624,152831397,136357698,159629567,496143794,112781763,804620003,437734073,713949189,586803209,442039507,110868786,370678943,552776350,127081646,684911584,404762682,662081750,590069207,670562384,556761480,887581285,943625888,133925321,811772114,304072841,635051606,454629118,880897490,758281412,975821370,874391548,386038885,120194155,32414755,420150999,767664218,785269898,534218786,758464127,958824347,70200623,366418597,540975881,368782227,963300128,285880543,491875588,848544143,919975909,593619509,971138451,35171927,15175132,653325183,684799220,673514657,554883329,593776474,11059524,617216675,381366493,396245123,253785303,909522420,202200462,298600726,65777148,460925778,756412397,801108563,373810765,498447671,160669202,847573471,158122871,75201414,417998506,141954811,195116597,276869240,442173540,668344306,183975582,330082827,568829616,644112976,418689402,911443436,110344385,552062929,436641193,239910844,866726437,184140449,323716542,495749731,760389256,406180284,249026740,294016138,828836363,195362334,759516388,741771722,785147910,885218887,1679353,339359657,265588881,462472680,752483389,959064885,444221756,268764853,356994815,145580533,649266599,585128781,38599736,640127158,831748762,243249419,632918016,514812479,98807222,920195122,147374017,839344442,736420862,434600500,202988225,454806259,45883402,25345484,805508471,435542131,842020710,676517758,532394653,110012169,743069378,357226793,613789973,735885235,443296925,96723567,302219805,492968554,372618122,186520336,111499166,544318983,844080542,115024831,178569238,838187958,565226292,115345479,922042100,53376678,704179820,587972479,733508398,606033786,906492753,134309683,764465879,386279427,41169647,752449935,59559387,252485668,275351672,220390277,339356362,31085638,809975614,501851237,792867239,693345919,593182051,244788174,277999196,311381054,612076090,523860896,454564057,613060003,221180519,664227040,419863033,712196238,65352736,807186853,685814296,95681689,461398767,946658321,550064671,919120123,869619187,614491472,247656062,124489782,806105951,655924603,426276271,960765173,728297405,382376486,138342820,89489277,54448349,192523871,541722136,496201089,537578973,659433110,902986365,47077093,691301082,227473274,108708973,634025669,526455029,942150210,371335313,77850306,233738682,984174085,829989344,784371285,976958016,408449072,7506161,660001308,425336430,191243127,684563888,667088918,943203951,158535153,697081657,882700604,688011691,694117041,699320916,759577175,541365024,414035033,826068686,462743779,420858056,236398813,319891519,403523834,549535060,651465241,6078706,367830616,244982509,528757946,632251300,227529379,874664259,461255188,213320984,842204782,779815524,517861701,645112975,425154924,218489961,79601626,405599819,49301906,682637864,697152823,229778766,208156385,635839900,612567942,544461113,583564905,914054862,915239820,585439564,148040893,707082960,279958374,694971238,800181452,883667769,121862348,354805326,142860724,414407127,971392137,741733087,346175915,39840042,94033230,465746709,957131649,289352256,772516136,768530786,297669695,287351794,721132709,683745276,841348575,287419659,669131090,93347107,717494971,6748285,758724481,979824905,719682823,318424447,895716429,919659927,33974269,557792415,73695803,939435842,545349018,83613737,365700098,512537134,64206043,361582960,677440602,530079947,181667456,724014847,582498038,251589953,839088867,609610029,25942044,659618166,819229457,32115255,931192897,340210225,396019590,253109678,411527247,926745993,628651830,514951650,288535413,241555458,851658644,307303454,682453862,651672862,894742979,873522485,609957,674853346,841548967,655294526,674397416,891057897,667085076,392682630,978088088,363310448,978938719,442947679,50484962,336657003,569892791,673245068,285681694,756518535,276718096,619429742,663530356,860640050,169716042,490409387,166871689,270604710,126126704,916449433,628409951,248638832,729699303,890759411,851578122,902955173,943890156,696280954,984197281,675316328,860540386,660306758,119052463,458645604,828645436,838954059,846187700,246754733,853509640,309813792,516977011,630791251,873880699,145300761,776238929,275945908,35086913,518254034,565264375,63621401,402875587,757995165,381647061,366122522,816877873,158287209,92320160,108822059,426565218,655433255,433364079,848763201,816614490,631410767,689624828,300778620,323548196,258647249,217476789,327363211,389706387,339519910,44921059,690554089,396972066,32072104,516860388,198893765,93991562,277539169,485683075,418721614,790159340,264362452,242900202,183604672,343783346,91947083,354167995,927258683,576553070,969196132,75783279,11763728,658258314,933371557,57829509,992536766,810872833,856567394,368696853,326160895,68353280,746766341,797570314,134545228,188741043,634015855,1287069,135636159,490132201,839366475,564146898,116494062,322682385,628791864,806434943,557837080,517975082,410770981,567151712,177992827,110511634,107497691,745077426,761141655,452263614,296664826,798141485,932601926,470648280,108125929,608993437,818957373,550055266,61318359,944685830,949969820,404986889,734490389,435881178,362494467,908656439,804783971,616639411,311369153,409534202,468918367,155606185,202705731,440801047,575688835,561745001,367868934,210047820,731025955,432033919,532272029,927890293,577433055,65171686,703933643,289326539,807401980,406881205,750458209,842589504,505597012,958032450,503807165,973434566,219576813,791930534,22712269,576822280,895594428,92287916,844133046,628234613,123186743,931454399,770680545,735349529,569844802,561996408,742842237,802452246,646215986,282087765,351664312,774521636,965047152,844625054,586497174,515894843,864643973,258762859,804186638,816960404,839487400,234020012,906275010,807751787,295905850,519727895,814729871,903111344,267951764,833167707,404604085,208900562,307216750,262901150,198140608,701626993,294367174,323830547,558467784,753619932,290678986,764763173,656556773,5197474,237000633,622359352,444671443,99445531,729480226,960778920,639019535,222293153,86631947,262893688,717913786,550286513,654494988,952737486,403258127,870947956,770029586,166320676,225210382,638829448,908661809,928243991,344876810,255777676,638541545,318894066,513137099,513724046,264807406,141002439,778137832,99989638,409005627,524247909,145796714,567422700,887565141,238894704,601065579,341497785,941907501,955761700,926325792,862432294,653837675,996318167,800681407,967851912,298376754,350285971,240968011,854944433,838088931,674788386,639762070,588018397,637185559,784289352,218737034,745792225,161948278,473735404,377096796,241927206,978702146,922305917,545541129,53708641,619538668,116750773,759304082,375205310,718145487,125624733,166189958,844858003,201482375,861441157,105530315,83077940,682398423,869222439,155563492,739490095,450664443,678626165,72904421,299490679,514461326,241537194,910120779,820327925,340810342,964390700,565392002,245533431,647915238,30903616,984067315,817422333,892980758,129799946,263236783,569414386,526860219,748969735,729135628,966428665,74091809,773182346,382408050,154277798,610927249,691418618,117268965,436609513,258854018,529223767,679531241,207615725,497797412,591312292,728357706,142734872,908901357,740008264,845691626,611774689,13331356,535269054,234544761,660445056,75660461,170561295,981848724,654281494,62557045,523526992,936764672,849518505,189717736,381932409,310366126,561069302,702336258,181430032,313436204,218232211,159238758,64873734,146432957,316591666,182768580,37714513,762895041,169602630,606807783,24786880,713710318,56604785,986563383,604746251,453900889,637023674,268759114,742594823,893492358,149638286,149237186,674686758,623038028,695924934,779090091,146393930,532571331,454045906,256858757,928494482,668063194,52046201,88011734,423369226,891448562,884166406,809759541,725585837,267745013,65523721,109477898,784815041,478103469,310756036,501812366,441519354,893520644,284372665,638581049,848384476,679232653,678082385,589995396,138561513,214214976,948809760,456341659,876839638,653463585,979748844,81774405,588097114,323245335,767303716,304740580,789693868,63043016,226586014,91491228,822692401,52909426,122045336,870069983,645313937,316001456,459437388,291254059,392280831,536314188,102252477,719090502,396116399,357320554,15213000,947756231,252536375,503990747,766809778,397154679,942997308,638865088,794786729,868906557,160370175,192453123,345163833,271329233,122612197,983553187,405676564,563615621,359024059,524505722,670846317,206592317,874220881,736207497,15695691,209161442,491804610,140533489,58444072,434357879,234506227,916057639,964621256,55125690,313935274,528344643,219810570,356818363,137352996,330587198,943102086,829139549,382570071,827733146,502397096,941785447,161369519,261661626,198787635,396899715,654835419,289594352,621954787,737225983,410156304,206674918,526050196,601669439,580677468,584701248,893146491,703512118,690383212,977901393,427800277,636511868,350415137,733904199,310675930,519007843,395539985,162706588,216793910,27330846,246713928,974477308,234199402,534240016,913765481,645377928,862284585,950313419,349100021,746150881,928689086,352221203,318534335,327819385,128166957,795680681,49522040,98228521,494438721,661083359,264237874,542410965,264702059,422547239,843876342,255782789,821434552,20669131,896808437,595998827,152969534,118072978,44214096,217306396,516792566,12410960,60096592,460195566,230453467,613935441,327097050,353622316,87120515,351761061,501978697,905687054,268809395,429807530,761353126,660416826,561285682,383640289,574057467,670933968,394151232,775220183,581911950,439931152,840246612,525023760,455099827,623973170,449932122,825574515,476141207,771111624,706906016,560006959,816351049,892504672,513404768,883814869,896059895,856108355,311088619,491189447,371226431,599756054,699417402,697492366,541401658,980688253,966499333,126110174,697775211,864120440,723570426,347362771,197132785,172083468,219677901,103236264,927906802,388048833,393368216,55899811,82487217,118550680,496942882,287596364,883503672,705048473,157803686,298689905,851629435,108198443,806510345,779889684,610410670,605740646,895592570,22526370,415805228,901014572,179146843,267852062,742548489,65040418,193533165,614401627,296342572,129756023,841254155,339188648,884386662,157489248,531478552,984465119,69125036,863545888,712897792,221087186,788982332,625922261,615984261,429277985,272828441,347824178,549875547,440982949,769757793,266846506,720554367,627191137,280244071,95803677,763100037,747504863,391889765,114144084,948080646,155128559,459241362,245343784,359547891,818990634,609920328,870677606,304337373,139037079,762582851,36732433,695066533,169842807,912293536,297312850,57350720,104452713,425229843,13993171,866235970,241916413,394521418,912920091,106427807,898040999,924746568,714237685,267825105,521173187,528653390,872655583,634653984,731723439,226742389,674939408,639984506,759496145,284649066,226934614,956889115,787715533,827364582,511069549,649618112,412019067,10862271,280001154,286262573,863926508,609178082,76509537,948018077,675140175,653611,464172437,800975970,923617332,23398063,539229173,423305418,510716991,318112171,920190860,916363827,396111056,421387655,309533114,543013810,145308431,14436163,460176615,441407963,528552863,304959582,602614523,554702189,573800842,971544359,338143732,461381036,853679764,411673702,136245486,160269604,997210633,549579955,780901235,502847891,55427249,348780960,576281923,460624932,156198079,27866589,899887003,291715193,629370156,948011931,455478272,413515546,250554687,508333503,471040699,517484832,682286776,191882175,972998149,298096193,445976013,190154320,337772891,296439080,395341597,182155082,759385359,398477477,23115128,984549834,512878981,238626078,639839103,454049327,428076390,702244570,577783040,590160550,146447651,15227703,501241732,177560206,608803340,858658026,693083133,22254998,670700343,883511272,954166099,417333086,571798843,238703835,474096575,386707653,724103151,952501658,702630162,773418065,772580476,648682643,530918826,72751038,416255332,295484970,549336702,646084330,634137735,219138887,918762135,579232108,357669985,759336451,204783165,708927169,216536427,645196198,815947713,672214520,630988755,807618594,743487673,753418401,610503299,36790980,522110314,502417715,352725096,674473374,687333539,452346763,832631190,12206912,698811410,873654684,841225327,914929896,446963960,377311649,958137085,534486851,857003773,39911639,136679209,456651795,542215703,887074303,246892301,890595339,28893668,723009018,696054530,495284476,590461350,854275493,74351868,663788056,645292201,513029362,285274037,361258038,445998673,58761719,961999751,848543725,242248457,931261860,492004977,459897886,357750024,729368743,979819880,263415187,590895832,499717792,106446023,646732628,84623820,468184580,452122066,167132020,689591556,354025198,180584345,471193744,525766737,132632012,498025844,542670355,666271908,950197465,1239359,989646570,942990395,995818348,465900873,624677107,555301738,932592467,820565659,243223213,40231385,373712163,308507731,931379214,274491833,623207005,632033366,612517165,639647835,602478571,409050195,730127417,863234611,458212747,670975029,957842597,123039459,308285258,833353392,290961223,62704722,943455699,226324803,675555893,14795939,202124916,539217405,704728462,656621339,324677437,161850658,884805946,507761951,958449816,557852930,479259886,783186117,221505567,40878645,162962109,15306407,769606424,112972594,184894061,320563194,742472086,974007397,374887660,19862034,519555741,760006889,836968978,600388171,510867892,234720582,446759165,24473136,322292560,502221422,956200135,924595314,370183340,924262673,160985339,341778774,74115099,967597498,879635193,719475068,351529071,217212282,366374626,154793464,737238861,359168476,290529348,751126638,887020782,596696658,188243621,454741670,506799748,932234581,638925894,733652519,475813778,328790927,790663703,652284730,297039215,212715365,66936647,70410728,287300801,620856857,317982831,475579654,944304792,804492380,640703057,637316587,127272227,964916891,668680581,543794207,551318410,453335400,53935623,255713615,657534372,285007138,688097223,905813094,861663713,382423868,981908153,861707685,634276112,44730652,799958705,292438646,59290699,449397346,670939732,117602468,999564244,871896971,155772115,470636841,937260486,855503429,28023345,996168255,193274095,90033179,163050350,770498357,679081650,794601403,468517156,668989845,122717418,166203395,774178214,936290870,631468045,244786089,100083871,436819765,556273426,641957264,217324167,39105395,24006890,959467359,508733002,456794833,192479020,782368409,946941774,508225725,845151666,757021787,11852953,426839572,952076607,263498955,35248595,416565801,967901679,148023460,473855923,741063813,346800241,789574735,926858564,805828814,71877992,602911943,969732358,697353691,504236400,858943267,462708483,732445350,774210978,550116759,593523449,152329914,17003552,512496348,682986914,151844832,878060054,639156802,416262935,343861767,466598722,441823423,847407662,444059217,598541444,206145786,905678286,39900405,881030847,578689908,520885120,203515444,839606289,834972735,685762610,15535481,459518283,182044078,972304645,574831946,597440129,367695378,13481047,104576215,895763058,302747884,295148202,606022765,488195282,873885990,80979412,142031327,44713183,967350900,930770971,935975028,109521301,621616715,294545885,767917393,173596790,803692455,254027543,231844491,50925047,296840164,555182750,481209745,129544882,201760309,65427737,920778328,126415808,344671253,115903192,297974741,730451028,656191981,962671712,451741635,397830946,290804307,995859886,96304453,758636649,93226984,562264628,234075960,935354869,993147690,72199716,821104845,902019363,408486333,29806843,854188846,173677282,433677588,601909526,607373696,411902280,903674072,533310710,719996428,123798261,853901207,784712047,580814967,422343341,184458258,331036863,719089129,56687009,727305623,10505150,554666726,687917431,422969386,452309646,483143539,684233345,18422156,947475923,197111345,923274635,429634573,702013672,590539663,743981111,369604007,502656441,359234698,451750187,668240729,73095826,808063249,924208236,78358005,858333327,226378829,518630657,325070435,295724232,404441959,453763775,176533752,731791310,655599972,814201578,635711576,506243121,890581558,341178872,30730907,844139187,663658331,813819081,276778941,621043020,816802569,801239729,343690782,491261780,792003677,113754301,993944373,994774191,132323212,929089437,492907353,45972438,299909396,476267367,277750585,728249004,775561144,43677178,751638316,94252671,630440710,280254059,741737508,62042212,736373674,887044237,194168735,192147276,358141209,203609442,966838986,316814460,146639862,33023784,35633445,677055162,139593229,834937259,467877931,108454529,578864060,817023534,955042861,212189492,293552922,320335134,397081992,710146963,268801388,12254519,409405312,367354747,437019283,527099222,313325765,341275642,559281989,517311276,510208979,387435500,57760131,525272792,311055374,716279565,509932816,699481115,4518172,831812160,100156023,765154519,853284968,736902460,438062931,920323927,948921445,949525947,576596800,533680172,609843398,892567487,610335839,720364430,577758994,42116222,185673628,410312022,307329717,225713657,76175319,53383780,778350931,850252696,455734239,610781624,124630875,704913301,566480413,692226216,421612326,854048636,214665148,696939401,245168864,839122852,807699489,687573007,979535160,105568231,751741029,842243625,457441155,481220919,290556609,350722664,837611607,317287777,273196923,458510682,317535448,64328696,175771246,979504270,600673554,874142064,531414084,856848107,618151222,130645002,35674494,451820005,146854450,482989768,682814913,860836769,557419123,709258586,930747946,69989421,985592585,439104631,808893313,518194884,724915252,70193356,226870070,179856913,651293752,462282575,907462923,53619567,59113825,713899706,303757577,217091576,806157979,7629132,752417608,25134135,230668707,25491256,120733976,345134978,706511419,506161004,27961297,394087167,917876255,424193232,112168588,328315026,525803170,352291403,437956888,200939293,607400817,335785243,539339506,250592051,395018560,289859738,933351600,436062217,762180759,203018383,193935830,174697567,631989541,330938543,97398701,42062082,671037790,913744665,397347567,533566166,680579952,410762153,605738870,544268183,148777629,613775172,390660648,209749730,674386898,133946564,573888832,220468714,608770505,266225724,525838830,821543506,760695755,834674815,852234541,496349497,16580828,788375701,722788328,587414480,764950425,677619079,229538080,262833492,965241024,959335483,844395882,94831131,677186099,908922190,286807296,715829792,86681542,418755552,681214582,240002809,666843173,844668228,681221441,853618471,44264483,113267847,975151776,673568256,363360749,494774531,500391532,718826516,823774419,793974162,45937234,415352723,218951283,683103946,930256343,846413605,312415291,486438396,878619430,332691447,928441966,235681941,877843786,476907306,756951270,905234732,893140207,681005111,980599887,340756284,574163268,391289180,694874731,376263165,507996342,227407153,321650006,379974232,677850097,650084971,41580068,914071771,955939789,157095553,316751986,563529368,834530988,936983896,149054899,348708444,613940856,378560900,530189900,722593705,475114403,858101911,802178788,898692142,988425221,565402778,133298659,891917148,61742607,648422796,628277187,838345023,683435106,826691308,347176437,368689884,784070742,235114105,819284720,734455185,895782308,246180643,646609892,258185080,844853751,619766469,5241087,833101197,172480987,811529343,217304843,992659187,708551240,352108675,960478452,923086838,75836578,543760106,674812932,533457866,498924903,192940064,889427563,675202708,667040170,547446115,393186707,739030743,98567681,421997733,512521823,140810054,522691281,922266145,243130627,70281443,83041501,897627171,426413991,4500255,844950065,420218935,791861539,521426799,560950022,632773253,528873936,97325327,260764153,197765823,972550080,976524480,207668912,707436055,47550474,232206124,50815648,636139773,660579400,656783677,195910028,10734120,508851321,29183177,550885614,453080374,611969121,810062019,963801027,178448514,193889350,52382659,286000418,323883250,303928879,468118652,73327722,454601640,992958374,309161105,701030972,732866595,378198202,646677613,769451424,652277369,784046748,923975282,649164388,836022753,619468275,651711884,48427200,657794789,171574199,30781222,464779355,442486624,591400900,74817215,282468589,881544300,287432058,206635809,325315665,279849705,344426700,568243898,733128775,801546642,640898795,991051624,203915171,578538736,20266722,651673429,247590288,357508818,552701476,440071757,401557259,911578672,283262758,984815008,72209635,251252450,642933132,349260490,903198902,451861685,429520743,404139691,114686837,530338035,29951033,650335710,674564378,823917080,601825991,388602660,720149357,227250638,694669871,94426948,47253924,527639684,509840425,48000295,535162897,620863911,208121147,391155956,637059679,893215098,484930157,350943451,56143212,344829811,529801577,160630482,212264158,774379344,351505060,635315566,998927541,157464482,233684201,188220607,204982739,940886275,216320300,597628899,685407172,252649972,756859966,128245763,344983008,57374439,131464170,615635414,237424800,482317509,868780551,492298067,75941773,109925184,408395553,880232169,757447268,687153089,56397958,344179982,691219827,56281370,868607418,966428978,455688564,761819773,321663709,157261220,149537586,195503800,812747816,800858322,487147941,554424950,246724296,736952532,150133067,879688858,511633520,108547571,48733488,886065812,519474799,753594171,578989355,48168912,504826003,653944510,968256524,192960339,845355083,638757619,816845325,776464153,284592586,885790772,235179996,559308317,377567749,242328361,674866507,759954347,969560540,295999446,797323221,882482086,764617035,35002677,69172354,105551761,496944497,468364054,562193207,760690711,34815681,366619790,396338313,409434044,838576360,439243295,879091893,764116122,403070129,162206649,688410978,995391129,241271573,201172885,129622951,916143520,89510248,777325620,526386474,605493718,923411604,784785629,451558183,922551580,452203976,614799899,536097825,43766968,402465100,821738636,766332340,673754929,329464259,401288202,544948171,161296876,221901174,721972832,265249440,196852938,221651406,344004670,11261071,883866161,858037513,999739220,707406269,647917352,572872470,825830605,991352818,508273313,811870564,752893475,935822791,910177921,629811832,87145884,930258390,29537611,890802706,551047464,343035641,997703795,471351161,938606874,745456757,268083428,901714215,927772416,765960790,24508903,916619048,265458301,796704377,634720762,627147733,802272475,776984150,996485655,548157013,142110843,716392152,864808446,808754718,764392405,675088725,358101778,999510791,485929314,52835048,160209249,152802818,672744681,976607981,697056654,651167306,493973947,637983741,849191636,311531414,52931943,142611574,742288255,495923299,692605819,368900034,360772910,716177323,740867530,444316590,736505207,942980380,514754361,829534286,460117505,168592952,879380748,811743581,445408105,598755970,634541771,726545831,778898068,134859486,307663066,731631239,511315214,171437141,414355920,992900837,989238289,432809009,673503506,611065310,801149231,932669225,604782682,300969971,61753328,69784726,764892843,856688647,265234965,916929828,598362768,937664444,672381810,509414539,402587159,305023485,715387335,635676618,746647237,69345528,434436134,993123577,793635137,995139457,876563527,986730714,565982769,136629143,998911247,42984641,565395143,245660276,303055731,21235930,924083843,865572097,9590985,731868945,68699531,305276478,630622297,225132652,115959947,600340953,392134549,321163476,52381326,401886510,67160112,26556850,388625186,882072412,579658284,853990097,365837276,401462505,878945031,587483102,686409621,905768823,377983047,71089629,72813572,513654167,355403463,808042275,675303681,255570242,16142284,186952507,258784944,809161833,976905609,735063787,401533489,209152590,670576063,395718926,134136681,848581273,324188301,940416774,3654149,880803961,111627822,333242350,484398331,821496495,653788181,94551982,332625209,109485981,405309324,967278837,779898013,162155505,817289648,214179507,911562593,104057462,981676340,362394984,292762382,523970729,122087581,52929677,77580388,740660794,409165718,432087289,90518256,396568912,62730687,494126732,530822156,444160081,269372410,13544963,238024512,889058075,311508940,388286696,297291369,989009812,922751761,36957370,559481480,68283427,337576586,929624300,663562937,709580219,423932956,368919144,634553916,217318479,903860449,42555110,869486039,300383653,617838464,165613951,938608046,952763726,229689389,514481480,662590224,318254559,177847862,603701410,953093723,678552383,524361638,518621982,83524316,298381417,481688608,488430590,723431923,869764527,161002847,349599614,179815660,582868051,597633518,811388361,812368800,916842283,98799713,15888143,533305176,322575546,146696457,776704479,800484601,403989946,786064931,379681009,536176554,394135659,904228305,770721983,321892804,353383813,707622662,164386384,643475333,103612459,873923411,419819702,656697625,616632211,32981178,90592628,11268692,271740308,123208160,401084923,806102458,616814390,105018622,29725533,107842426,535466463,259068045,812045590,488230438,311469982,59870257,248692410,216310648,949945793,571392323,112896397,132246696,331578634,677452537,254982251,617415555,103051260,127883316,300217651,270899255,243834588,325323257,511760204,654590460,280151316,623275330,15429939,687341326,926955745,326957373,484412951,543107233,874717104,165528270,369128639,703535519,279764353,107903664,896067598,533788873,568714974,605711581,297401308,966500872,869354117,196170273,835285782,430911187,303794005,375870326,276387423,923975170,178953028,261023706,189311877,274299531,796745701,478067124,50441558,161403949,866885738,810981592,773366553,580785342,37903099,209862609,649476435,302347862,549425945,842272730,835948578,680952477,271147694,270961407,763143034,632412168,865217851,923550785,206079725,420586269,799701054,114994376,416385747,830944790,337607035,715665117,800633857,976965746,173027967,846548442,436422307,75730865,462235105,179401832,221378691,944407173,160127530,345153656,543692161,483702958,92057840,971506228,279937154,477293598,77548566,331391489,852722776,765339827,718713237,222818622,894450660,551544118,936430017,16168034,491793612,902399490,809919345,477794887,895174489,287393876,491434744,450293316,426530152,558999004,696945012,384049721,410261235,97933182,200680637,185349638,766153575,87929963,307892758,321059538,890233666,309611078,670647726,551732814,145310871,313627502,245966363,824533718,377453223,171339762,858064970,341523746,402713469,40873556,253225403,81290980,733417629,37758374,25114969,784141317,899825618,812205427,736853177,723536791,80400721,816209210,953489114,491588768,773647691,521293359,702766242,199430356,793155978,801187870,600216723,389956443,469128753,882010142,268305050,530116497,597406520,577408066,915735486,947091940,376026355,605337957,55095498,119085681,304606837,491020121,381644720,8759261,200755830,889074611,629777262,906681287,692314422,936650445,766468853,335572390,101919549,739729337,500388678,912201004,172874399,482307649,4095673,395998648,708404726,832118048,973014190,218026184,701267271,542820428,460126794,488819498,221205037,670641271,317555577,498454373,70163853,68833048,390535526,168158476,347551838,464211638,518506743,915334316,493577721,417266195,225221304,785865460,154790355,227397125,149306691,722667819,531408060,509922263,145728031,399444814,995947710,537708929,990326565,879870733,662469984,186757688,142371740,367187412,444561814,172932415,607696874,293125151,477097829,198004047,658592660,885565462,735812337,203387210,802997509,14720734,761951290,120766677,728501286,497299105,202066779,990099218,978158440,671146272,447770334,193802216,252660930,505582646,822267798,407634040,20405485,414420025,677709080,685829119,3358990,833392572,785780720,17255269,392153236,372462024,347644795,150796706,731726650,420347065,590196723,441866825,304300753,538409041,801873276,190701861,241562168,176428676,144648867,364592967,926186201,256888551,151970011,724208570,405651423,699414150,944332303,975615975,807767907,907839519,866178192,620153433,870796990,667255944,636640938,661902467,197602057,177912062,401597122,639989973,618826656,306891431,393213341,179716395,218872865,645320644,458659307,435398080,499702679,210992247,591809588,946748785,52693828,942033706,364168263,948793106,531055027,381088744,147989894,614379709,97447387,864062105,261816467,829674983,651113979,598024344,631642380,878672990,396566849,86435122,956323221,566225960,214237259,322392165,603391567,755797413,141925056,886296702,631007649,270700915,511209009,944111816,246229654,593627539,495584646,964177676,626856074,420586797,292246522,702975773,395861055,429546334,979717573,633551830,463561159,42089758,153886383,663600476,593835618,643602361,279708686,611773378,652395358,665832971,566503289,940759769,829919345,84911913,33848036,218077142,805816201,257315906,287290311,512378183,124295045,537101359,869865632,60169310,949896725,895200317,745772369,918116608,929957653,308354420,466171888,826190947,676980663,762208763,490716418,765189435,243171423,719624691,671376257,256041224,650609602,500423092,171620436,104022575,803273831,170408275,380146168,439029363,92966740,190727326,371082725,520103943,861152372,373302844,586626657,18855617,667959685,349778558,859177732,625998006,988548264,615111162,307766823,835458789,61524304,580918193,490303308,561014985,384218539,894108139,213124033,594918271,325819490,93988505,68530576,870566218,992034269,28497569,765795488,810466544,698914910,903245931,399362109,52461938,513569711,704842936,5740928,133930666,614786644,812574471,27873113,75961449,772005911,734312701,98165838,484025330,663201194,730948457,510345543,213245720,367915571,564045725,204204197,932759820,685406721,727127191,899213229,404998382,623483368,638187727,279218558,363304743,817550756,331586479,367285814,628969182,162834044,665620180,42879863,295895973,845433367,116737024,681567555,241742271,965822757,476558217,601139452,728337800,77383824,181931848,286188985,495793646,17211381,661760786,935863207,168621316,87385813,837648601,787820526,378983903,933476077,774830545,44172938,227254170,339957832,934667268,369760544,503349334,1300610,30194697,294492957,860230577,431277771,260933439,249530981,404844917,715524925,519110372,149482339,475687065,20809637,187081805,303630298,142098294,42488725,225275226,273293966,146793419,521067909,557259613,538114914,288022823,505188527,950451136,542197132,510285571,83615108,203572573,721186910,105606839,381999636,773650688,26888501,198575715,66580867,661393874,782163377,2980831,358473041,563989103,909593567,137669380,557820305,113095562,877368595,674966579,265562610,166961905,617447197,887834030,333722460,55345974,474261352,134399905,317291596,752893094,173797853,771515640,692149519,931631417,770987563,980954737,904734549,378032296,735405168,470399345,5223343,479821075,76741115,989581048,464714214,518851647,360828038,996151474,937390374,315420064,483668734,99505404,532161887,914494410,304192285,306356634,443542747,953369482,133673137,460118104,382475159,405243685,643954148,464970023,635694851,71988540,727815720,822761199,49783590,777292906,162800216,613035651,107737561,962462769,260957505,742174756,377778448,669589216,618683022,36928359,424362506,650509454,616116159,690227938,883519558,987357226,601689899,586888860,387493489,709735608,349887464,112413828,503103568,984401736,94569181,784431985,669806977,46385063,34683728,432687935,474018040,508406096,134374082,918667499,860575247,36241328,482182020,714755365,727326641,561704795,882354829,433727391,284082888,738656970,427655948,143183496,732865635,209324256,976744265,402560415,199682761,939326070,30651731,34853947,37232901,283006825,141780434,906944728,123067972,223535420,11646228,403349389,602609961,675930780,868075260,856394108,341033628,515327198,811887611,969170618,516571935,391924100,644876227,933096835,22807274,340117802,415408026,5547985,164367545,614670634,637294122,790715161,124399409,877926096,584343287,783307204,845652875,920175812,724031081,489205272,592999870,715141348,754870919,514258025,145055453,799580773,403282483,754151279,314529142,36159509,101472995,317613485,107658630,329403626,533254384,29295663,598671291,153123433,626774160,308699528,272929534,126169446,263447992,730373908,262446590,333664842,415809542,198620989,452989877,389561813,687843731,52109923,278127158,91979809,948713106,898536543,796061726,605610151,937133816,576883685,727289597,916072755,887294680,443985901,642358078,408546035,711619805,75179366,865307648,95893680,471951979,756167927,80786122,793402127,78649037,240779539,589819856,958978138,611637511,946140423,893636953,667516950,7997866,604300711,632010541,873972503,631131752,549429524,717165010,348746027,95238619,614079314,698819380,635627559,500328634,199532546,18140766,207832216,401266034,399116655,893465913,500526205,290600605,654806666,366671446,780674128,756105026,501537079,17361520,883149953,680443420,737835255,635831786,826421406,288748375,681072556,775310554,338083331,865969486,188530625,20776679,130876610,406458393,530090550,478642156,196946221,519055383,114044597,139128559,651847167,982954587,844965804,878040956,62353954,935332505,911616025,580841829,221197616,65887153,542219308,226157176,727189362,675105093,323328133,747370259,948034449,414247081,41121413,790356886,476499712,690407099,664284945,775383681,64722277,210048143,834351139,545551393,2065049,952287959,859679162,856780670,809782698,534142021,13818955,431105379,965385027,134013072,202865071,559431478,119995433,37243472,525476124,344541499,440109904,429565742,311027744,783965953,590536079,17718156,307700604,605653776,251940451,693813795,211942185,743592536,70614638,790805599,285983908,491135616,457646547,627959560,570273199,591317731,44243485,33746176,244127549,422090531,244946346,967603413,416626923,282646633,964419821,380866430,627776442,559651164,463994093,977318358,515991572,763009233,787458121,322099709,348955125,175060411,316941046,13911777,389624641,839172413,274729974,360181348,384597437,609078213,264891881,804755286,838545014,542241111,432206422,691180874,113212351,149244,709435707,138407849,569975309,653693334,908486710,317715783,221669859,106238201,580602141,888237594,988596343,273631392,758478236,856043730,837593374,943782842,587388081,579239540,767832296,145461827,633741245,840645273,790580105,751185222,624579060,499518580,944733832,29189123,511597592,501337168,641839541,832500105,431750222,786917378,44826211,3405666,283642148,335756434,44637757,429007724,237649594,671466264,301070852,302251977,607814738,492529865,509896469,791993432,826509974,950141501,434587278,200132451,854674080,101581156,809117738,268145027,348019255,27395412,19531824,969859497,828856096,820915727,119326883,207944489,876788413,42142078,744276091,714331903,756560325,226653914,560498752,316200008,497959067,111220722,553904348,990930074,911056068,399903610,165537350,847470491,475305663,602259888,453937300,711716400,332076848,851950329,392114634,210226938,920594397,740785008,587498666,84276948,714357099,861039409,179911107,305184440,546728516,460749209,124255529,13724877,332991489,857079878,662112331,35198647,138814131,811798651,820686481,364239785,65157433,865982492,407152012,362253435,194228283,94568838,62603026,554652288,805727087,257283869,951021506,85336919,341832420,335479861,33308057,751013954,503888405,233697326,488187490,887275206,594985441,832119941,278565759,483406838,524416197,451058774,773605442,628357800,363680392,644243528,210154545,190314289,95687297,778815637,128938813,506146360,232999281,266284961,419294959,985416909,703417941,97783891,140897055,151847103,437746353,203578261,5235900,577935268,912142210,381629486,594909629,949483737,485072739,175357182,779405757,683491560,296307771,331398983,883035212,825581906,837140667,136333511,764480513,518771940,728267529,352401977,974242580,700400823,398912481,665811547,635594746,158890307,326859558,963490747,727664775,375686757,523904398,500949844,464362759,945478182,674196808,405880446,870271372,915563184,523951441,401847204,630792705,496451116,729942382,672189552,484997535,346279844,385461435,996251719,677938035,46115834,270389257,381981623,551464765,56306901,228034957,247089304,619155934,866152714,785712927,60872817,973888678,499777525,424198094,677149722,362012181,602750277,659408573,889094210,537660321,288456718,668935626,169189110,339691399,662578177,288925095,122879108,849291049,308756399,946664131,153805056,483308704,830016259,129149136,502773036,312312265,406770600,956504364,541059915,229949428,270460903,215657186,643914165,248497792,379704920,867435729,99696621,667917511,715800801,947119808,69433937,533244994,413531763,161759822,215872503,128752139,421768383,365299332,815570092,24612329,689597831,839368775,276694060,410711452,231143688,87526177,209798370,386981896,222540169,720153433,334156940,988335516,498610949,641095040,758997416,471503543,405840403,823635913,963453175,389796456,134859727,565116944,655520432,976908689,15287562,173525579,923126328,933599959,18493022,200433164,603841862,233771115,370386054,702857570,524950935,637328214,522723476,857904248,786967061,738057317,791959135,515404818,945316587,720358916,910725708,51557301,367994574,562738792,375569226,969021927,821834900,29926609,580948448,990141943,28424974,106428668,614678002,333748456,895198697,891104825,799381086,676839139,378809804,506584328,668313895,623790011,14674258,985329033,253905361,697167280,112970772,469464594,10172235,392402507,139262805,750985758,598295396,579497607,508501945,396627389,904655150,388534310,987470296,797971728,446547116,304515496,76658662,122258339,257216575,195438056,450292681,970089567,160364075,686947112,910488359,176509791,247282195,206222640,302276991,551188671,629709073,733254839,748140098,371973235,980188554,374662086,628994312,498311052,31013667,89920248,861692325,356496556,422467305,571544054,704478905,685990050,821278486,307978767,240423978,924000390,38156173,81895509,578235901,788105824,25358510,952500594,918380037,673558825,905628695,98010129,989403320,169645377,308727183,343031258,340942787,608648268,148750279,872756742,206041206,865128663,278226368,266060436,985401900,350884407,204170892,404204690,160341059,327037641,430975292,526070821,71413476,783800571,877632212,725895674,62814042,380445468,644707242,705240648,176597001,92831030,107733959,611326362,657432952,69687031,996677701,230915540,323515128,450739387,881471900,584368573,679560111,922620212,820677725,637916690,675204495,973606389,332763526,122347876,731389898,526871944,729605012,986577427,903387313,137725640,62367128,453651040,395423870,823473407,251466037,760601029,852658862,980365940,716653084,771278816,188877850,776196840,206657149,781784163,239355293,663726884,188657155,230612681,342053061,594167311,174632924,639150676,119326651,789829862,717536391,567052071,740326314,732131640,699610568,621604968,247029495,928990834,349274655,20522836,875859808,720157605,951589978,322161884,235621855,409473782,609007302,556648580,8390490,601490123,138401717,144589149,694018422,371603226,524340811,585499715,714942877,207892975,655023551,321231063,45945753,409961359,464138239,973525267,891328563,97999747,439946096,182411808,993372456,228796976,497178451,563830627,888167231,736495565,335655228,536437602,962269709,721474015,305638542,681842616,497594033,732272442,335687413,747341891,178883501,543111759,48162938,773279464,223141816,795215725,641593351,498912657,314375697,772709820,627400168,414710102,926088306,987657227,190854327,77137767,562484173,266298378,581166336,745653072,969536419,543219474,143769678,178676485,860504313,317563372,259406622,717258975,622870643,156857528,251775974,628169314,388574373,895269620,372024608,808026632,27714937,425062738,698360762,77582372,775160790,718978129,566287854,599362395,72122246,54816022,647279688,492401984,514011443,228822841,894760401,432844100,214438828,301284660,681848557,148795090,241149751,845301932,658582114,768280041,947867508,702901328,905941552,174980326,166357962,933128731,204091370,428325874,315578609,426630691,501437731,263083171,313289102,378024982,811163074,896605437,315420805,253353560,143079134,744444932,145754841,238048654,320305749,789409073,551478604,187070592,80323794,835582219,163086436,340370945,516563283,878013578,182387742,880832226,912233766,770659639,804913180,673597384,237817484,670469668,948439259,914969076,876883565,89633973,630977507,428839562,912197272,983113983,565096697,685793387,331565895,533814312,625979895,483785559,864997348,437620001,307834843,181748831,900521518,423360488,188001069,130035767,150317880,594002074,737216307,957171552,109978028,198143309,966900500,856062976,303577280,697525840,137336397,543672041,784204026,211380076,325559882,63801235,501829366,951165833,519903387,47802369,41407174,348614142,773779652,724084450,604561140,16764475,381926008,663968842,335278421,570428434,41859330,609202142,427128913,844714942,945291393,337730901,501477967,630750258,286423732,974621563,623881546,559317712,405179056,705962120,496168946,901286323,980178638,713832492,989740250,336259995,213632017,380347256,876831772,427075652,998613200,709267859,965569922,41037362,639543265,389779466,444948947,187437238,907115341,738161343,486912589,922324875,125514310,787003433,300033978,490101878,606096007,39746711,196431154,319239330,957651710,287029057,932724963,891922484,399632361,749794095,427710809,881703527,846511386,489290705,879900606,8646401,119999740,406954807,856909016,277756403,517076984,684896561,558258782,804572941,10782320,656251647,689100239,825230437,197063603,29355297,525896150,552354982,245945992,716590226,435211993,215670339,581877531,49533339,889657698,820871438,175082498,33833647,509779831,523238406,920160333,605220052,971853347,356338937,714475918,437068095,883251094,414745864,281048399,400205615,75008093,201050530,599930129,887752971,206052048,255208993,515885823,859465453,61522625,53653198,248587976,998377410,292514883,670336885,542566520,484741680,363322089,428025067,843128984,608770057,484694981,353867676,713740051,145546920,76632583,462978899,277190053,405095494,651425185,2382353,263770364,86277363,452278581,508865559,521364427,347277539,551370929,478459301,970196761,334959179,496894344,845482053,400294502,61097412,867906140,51232511,561804829,56493562,743579313,875454964,936730013,887763707,592096434,229083337,731371594,536002704,359472383,408541095,734879479,508901650,747347318,51232778,895476482,188565043,706729304,139901244,926927420,548754632,141389560,539649339,158092537,853986578,654482596,350057482,913000620,377565459,307005708,572393240,852651005,202774458,429029628,538388583,43243475,614756376,51612641,806492929,316664749,119722652,438856731,339203041,302246810,310809883,885372574,938960106,365961503,661174049,609350538,892229590,503760913,440869156,514731486,862133031,384774904,605564512,63342572,619062769,252318734,850972184,230502227,839170044,228638321,321910896,723598918,310871881,973470739,929234324,672118224,59832857,672553980,473573851,812341883,390256933,831384735,193583011,768624917,101233160,274250373,526688062,40426463,689997032,626300471,984080254,599299291,361085179,973969617,136845671,161245930,10071770,361925808,849684956,372327818,666148904,387759756,167894470,737125008,784171134,351376990,353005609,528023496,994243522,145214693,619775288,995717305,403556058,919508318,373903425,607868194,617217521,40505437,549781282,261528354,468079334,450096082,919937528,954336956,812408577,727430643,397690443,213042333,550606512,858584873,877844939,202600987,891399474,947584164,352292550,149160727,374169070,18300689,603437300,374339317,35282235,112180510,878994637,36465305,726866071,820658012,251430562,416786392,683150830,831793699,139859659,402598883,94378261,39194310,300461467,127708158,352056217,794473357,622442097,382830924,666482877,262129358,18133550,990016424,360934944,979679534,732899546,840296224,953045787,15373,997276116,770433192,3767936,452540333,164983106,703532049,139954857,996501759,487375711,279816681,27915572,376620567,844620044,787507840,316212934,525987674,565802056,426030674,978918641,19201250,944959094,870126572,478617760,114741511,451185078,467321599,78735171,971713009,198766436,40990175,700312784,549261220,565126202,360233081,658669736,458919164,583924950,469097072,746725301,512512323,498510671,355155210,628905275,900264324,984077594,815017604,394046757,390673621,586457485,574770808,317048357,920220949,30930886,456697945,500132973,484411951,450951288,46588628,467211643,803489767,729288942,642342948,269468742,609784032,983602674,496366014,980735884,391164265,750244820,983199393,14534793,86476794,755273961,469047061,839464113,341600711,835890878,449647058,732659769,896136688,297447478,430114134,297298388,735034405,696491188,582165853,160080174,230225608,801097214,463371504,730572047,511669560,851303472,736127240,449536227,962730017,645368139,406802233,402436153,389650282,98550855,756967866,58232260,212733957,610967177,879316604,61078811,378127748,144198419,575051398,320426193,175610390,120126405,509335018,6981649,301776696,395893113,159983082,334565426,222906151,808501696,182794663,961727838,241712984,616507619,895479993,295669833,432000326,613402744,554238745,811907672,567682361,176439617,481239439,688703675,573780415,201007674,785359569,314725441,788191419,829737775,682144896,380655130,513392046,858810819,881642267,174994365,108327454,498226452,361670275,37956596,209715234,535805938,682438159,688437803,953138512,951169768,616929900,689590842,271963035,606223204,419207728,302205192,438554755,54546966,284660638,218128197,550210681,843253862,220634105,410861308,349174655,272621424,352222459,736508794,588771734,779370090,857480902,745677570,693618527,735862941,291877913,531950257,720670626,49812239,357449331,395235959,746868290,44791195,808625255,189323893,855330218,746778175,87995227,77312615,456430459,853075529,101585697,276859281,43518050,722471123,722042764,326599861,968788127,146630605,250602068,102659130,729014644,275090663,482445211,598774619,510029883,58120426,499112705,719152897,677976947,598822977,474334335,658214181,628543567,198895256,720727644,864823889,224673013,188577003,854536343,541768863,576922483,377733930,574384508,784470426,421210855,486498132,696605683,539927073,913820694,636841536,863096350,151370672,256859243,132566970,211124277,369184892,723244961,959044623,595290980,493680576,922202350,694442637,609620081,518921681,164764484,762391857,156113384,507359211,790101723,660159745,232201150,163795322,55435734,978677744,633035787,71508471,827918514,887484062,243535150,708503351,294089871,260805695,174907109,84168836,344019606,977977540,896617804,693162593,585029938,917405736,771611389,979099181,566254971,793501372,404234249,800615917,122862319,78710425,577044214,762930623,894340720,129593303,425182056,23199828,590275301,399912770,648190306,83038023,604004991,100509851,269816559,398677867,747522278,685777269,927006982,875059926,88443430,598888934,147807703,949519026,936384185,887799770,186171577,8059881,721670213,182003147,639103104,695737162,589925957,672603871,882623802,999712032,599173840,398962414,171808060,733820300,346838708,308205730,526788208,534291804,310573422,457045868,489540142,331000898,939538987,976217559,711582303,892978643,967180419,53721378,561689789,108654321,655043893,427740996,17492617,570256158,854377660,112234644,709219699,856186789,380316988,662367450,767795126,73630187,426956061,474693065,86603869,911968255,790864362,751647647,993277827,360358821,703587670,146868131,17728860,595136778,132116878,709047013,216041957,249025134,433801233,609398788,620998759,592373554,48930352,947068547,94276598,704898842,964321413,660060113,419244928,158403352,853027779,524017971,359123313,649782863,180686177,169871864,392286647,543618265,36395324,882984626,847584966,528682648,768470106,550441400,108742834,24858159,397686273,229789564,270236369,754705661,544346930,511718913,129781482,850548701,19515091,360512585,244238204,760696462,521997713,835451249,194050124,50626355,660986784,571454222,496473620,417900158,504954919,327639000,368523957,543753455,60778331,892473911,584418233,620057786,612393155,620364848,530701726,593568870,732499260,360410387,386081400,153718913,400703436,52867793,769688712,464179773,607771841,841338427,868322901,49905572,631960808,856455674,337570224,125180096,798665259,800421995,740986502,220866814,414431716,636022647,49459486,554740424,38853209,120471779,480649060,640098475,384093864,798791246,48595479,110996841,265266820,545079580,238761053,457349771,409315974,755455249,558224387,728623114,639065995,246199180,9114078,225012306,724747213,727230867,264380695,677643822,312193883,781420614,117169346,665402836,657919421,527488860,689166624,124603220,548287749,360722402,656652841,467540246,670564529,4216198,900130653,555635685,496703242,463601738,304296113,559035322,295297828,311010352,509385968,853958649,784173712,127573317,122812045,217934172,625465655,668321558,983136553,708122049,894654344,844427637,650748072,646530810,687389193,101128355,441318268,376413187,221763508,125779457,69419746,49203201,522350807,625363647,678678430,217213394,603742665,515749745,217860539,582919085,401084996,818886876,328131760,455008496,499830688,722679797,76509633,103593814,818669023,775740326,184516199,7685695,558716120,541938693,642081704,777680129,96498325,655924387,975970872,595610703,77272960,546596516,954811927,595600993,880808499,164450087,735070806,597118196,702728380,731908101,466569011,680759384,764213866,802780483,289947056,61424476,116058213,88099621,971943955,319991548,611829200,963434479,474668649,566116429,505412101,908789874,726738654,369894120,82620437,548842377,232947416,52327729,433352283,414563553,693512357,294309348,596714856,547113472,909135606,347117444,118662652,257474198,480740368,987000901,179681175,880234580,379159384,924645285,796847248,865753083,254250388,290257676,231170861,449799767,698418766,399766491,515217698,765650061,249587906,407499750,93781907,183610469,2321929,615503215,468784357,443023406,88882383,971803587,663868099,59567724,277565921,778679221,71912546,873227631,619627840,778290872,796854045,787733744,439908832,964615367,256087313,534069083,790431276,867170327,901210900,627783728,950502565,807463437,396981484,334428065,14534556,451158362,922971190,453607452,220884446,670716684,247940206,143047490,383737193,181861444,542367583,310434015,250798893,174685305,995068011,900251870,353883668,853653357,483140462,985454337,621289480,483584815,950985017,382756065,564581712,518789229,544800656,163828514,142985431,401822910,103977366,56329138,625005290,975360590,676281869,438116056,401056922,601614231,459420890,346869162,114812322,106592353,42944056,113258009,755353747,500629524,910954403,156626096,676652497,349118279,484505817,501268425,685217038,944994198,24507502,639641940,393107567,703965362,244781623,446205114,824513506,850329452,246317929,27785941,401609303,466415365,535892486,749608913,763876056,38141897,791780693,692083459,957841976,277456469,750326627,386692199,679331812,228882113,29635733,170783247,369543560,940071191,601840153,515510752,626213877,518077651,532601014,889644807,620490798,44568272,55578066,494086100,536336366,42629548,123971002,7935435,561372961,143788903,90224380,850892602,417749652,730270646,836291528,423611354,233523814,498643877,631188437,151869452,400161007,172309753,616087847,444488735,102987453,502975554,810303193,602557418,124428976,505653401,729059244,304146295,90982286,263588047,748320961,388284560,664777602,603583560,717972597,61087417,215618977,840211902,891379273,83131294,161503198,486562364,622704586,264877427,666348830,123933071,669873358,401703381,302886540,597130375,801044244,220568814,459924332,165190378,912555972,184653153,346049620,238047377,812981350,33648885,84954214,38703894,525908831,14565868,274058857,703513094,622840516,506409213,293150435,641685287,508149921,193569247,40793630,908387030,296289771,845780867,94275982,758613689,240524383,725682845,287220371,366142532,567451863,779259196,475881056,327331242,59228070,689863636,915381308,393764477,596140071,96647024,743679878,356649233,514293000,984239473,815011605,87723271,91180473,931847415,376424748,230608455,335634883,568098719,308553847,321548022,170341896,14470360,469237965,828855931,402919391,567168715,317828487,904022270,475572924,979555330,319664614,88052342,126282152,855178124,175674539,830291876,911100696,142230218,643807268,133170174,13147186,34002344,701157829,778475383,901710444,688532048,637183689,46413801,145050406,687976624,976768437,859986624,804626066,533614941,327073018,179354321,493644793,616544455,61409701,561199849,890304712,816163611,423643973,747483890,257689900,165072457,25381974,633160565,815971508,126806903,184864224,415002742,205366569,840893602,241360343,85499418,829397184,587999281,10329229,926115830,210350886,25504080,476581111,123254679,606895449,76583042,192547656,492773730,185605358,400853624,585033999,708031336,412180256,825964821,781905042,622024551,952983723,222583759,616879966,298725360,715680135,349396085,285729589,752108659,801734993,360171809,325686472,116279272,826125520,61956937,764306757,847006607,917684861,700554904,959829390,268151651,904969097,266054488,606001497,999305338,672369290,827937986,374284153,909965535,463461955,181329734,368463070,153607173,889338775,662155889,483393033,963015571,717181138,147936010,784561804,430248572,324102226,880202079,123233620,917802285,144293405,453677049,711421792,106583886,119046641,986711377,63108601,116054090,628716319,513183494,80261572,316751255,800363700,342616005,726740720,252612276,717991781,866481209,917938335,732476485,764422159,269722012,743800690,284409016,727989235,874444652,966744323,878355701,650660334,935607095,980770148,60988098,647349136,888235232,528353866,685939846,465084367,985222410,286804540,875623754,859757307,690845559,202910366,807788388,430169902,449222965,764440433,712820280,308683313,530594120,762690091,765921735,417113171,28657474,771790122,710730219,716324025,788337348,800552416,277705688,675792678,520222859,19101338,115476223,574633083,413051437,619524949,378328913,505468651,786725263,709756403,321326995,310941073,621895323,621230616,645842220,12042243,470841862,488443792,358687185,646523599,432254545,772964663,726214518,395501656,460770024,482294903,401612651,941205432,56311955,170972877,95942260,762227625,139512858,42862214,676597626,399276082,629808305,265909890,289731895,478466102,522204670,697572365,799059260,991358480,254968398,792878964,548993540,356779601,633899380,440095962,816989624,451952360,896608073,782136977,481902314,131662046,648075590,843461974,600545643,384565027,940618194,340121157,132455962,282109091,401143692,173730048,43386970,915624202,449233431,290531651,164608350,288911136,306149316,397014374,341870390,374222400,653219180,650258368,985113901,29587607,378210148,382362307,462951324,632160640,323798219,59930075,665862878,131615396,805553808,123685153,546460986,535762293,547351310,464311112,634134582,942546823,680826928,688756691,323417483,430368764,966171665,900326677,297695148,592525187,233277586,283751243,326987011,727699483,620667137,24576546,551583990,874888429,414096503,239700718,268682217,695415821,539902199,759940925,552778296,133226163,711262134,888809295,879849362,469534637,870673379,390399328,635493568,111265962,963789334,986027263,56643179,370605889,66783933,494742526,989615807,840579315,413811219,184203386,838344520,832011031,497062359,98591176,308978043,577580567,160029493,665381845,826199376,561995896,356634123,790660380,93745487,656605956,464783673,30450065,420742524,958001553,5066574,466794373,334290425,884049434,532640488,930303573,95485959,452405146,680352248,882338363,851608258,962028073,91511461,26848662,529411339,631241906,803963521,725450791,571362014,337521211,643825877,299214342,549112875,272056497,292506176,258851704,915108080,205002673,37469240,307954400,162981946,19237505,130781279,295820354,167495545,813258373,938910888,859610879,20842671,939634900,121819605,873045113,88077986,697976440,686493734,143527769,974984554,503739341,843827083,892207544,663354004,271984781,504866821,977702108,937851518,283546791,322114948,70832123,127091208,510663017,289142859,959486148,552138056,307445015,726230854,436760654,358753429,133970647,422607847,998997500,846388725,143892011,733904539,620447460,62229636,604687395,697609618,68176943,810921443,341008612,865563678,580718837,405600568,573155666,117804850,957052050,283958261,170023882,768716815,492256949,671047038,7037610,81522487,382768011,667590847,328951339,18108822,904821365,26946969,614947723,341847785,965917237,969793156,602466359,352581442,493181037,567733381,363667521,737022209,32522294,51065796,840474078,454421787,422273149,520635536,57349295,630738832,139695705,591664026,381004410,194387693,934143076,814209073,944644236,89899746,548184505,470600647,176914388,13202620,318156580,457067238,708692155,353869759,550637306,607004220,25466895,979246133,126018376,752791373,877391112,176801976,613360760,692924574,229677017,298432239,393536252,770960240,280620434,300024702,179602568,316994063,446887606,777808638,549669447,611901941,598935025,892727733,55189679,965052188,847264126,321059344,920165790,172392689,861613910,468551360,105538994,735864845,806799887,272438802,274905712,979443091,45196455,43620675,167615190,729688143,676398661,219210922,539776453,907760758,970531033,794966680,872331510,458741028,270163883,933396280,21038276,207417919,599326826,96220945,913681184,788967346,996348225,418987639,838566818,518070026,59903215,981014708,609860417,274408060,396225486,693228197,595626986,204693377,956645615,338740107,60906927,904343169,75636732,478556284,579754269,21910851,238722453,420951830,531920503,383986213,520548427,256757951,124066665,93461619,2077471,403361689,263728569,396418090,365963283,388231696,147555407,476723696,660297848,329265544,797609924,125905467,770051127,59682270,321822848,828470157,916552944,981426371,503182462,455726695,662124546,938681627,419822102,320226586,278407800,319219811,443769549,500607983,883242140,55348389,794943858,331574166,80245592,922781789,209669301,76199789,374766480,158534931,424243523,291928807,457646388,465821111,958614286,837656168,454092804,936673035,380006796,800441899,250424783,515974584,489699893,852629576,604531406,735370858,976217974,458401711,969732960,420923194,406725141,146051040,105148925,516786300,474023258,81744693,275892953,304688504,321007350,162972813,454460104,810250044,207187824,197563107,526130816,761671795,512030194,193501971,149760218,960173034,808022810,745491715,425530249,446238038,562646828,594030391,341305742,738164146,221953282,149764579,640162616,380067085,110487770,364161281,285118635,914460090,238821985,406473184,655866498,924441417,392848593,874884845,249319609,164835701,646521440,967148280,663937897,493286202,992799841,469168988,303768833,828335552,338290811,814590628,666655474,539781291,818671891,327273687,512171554,812221636,89715562,704234186,702824149,313368568,174895299,459333224,574382525,218996366,471967931,37355429,350687392,275785144,489194688,176254151,117425351,442976155,570636686,422603672,756332842,366800796,720148055,188035949,616049030,82346053,799707975,588691934,148741776,132012691,760304543,910455751,896791542,272164613,637096497,693794431,855435616,199081630,442512721,996731748,625027741,70201623,777520694,261167516,69993196,413088058,211153187,966625242,911079091,61772631,942012637,670449573,258117252,379571741,658373481,704859575,534607666,647079088,804739664,103082964,555109767,359531571,771451622,515015872,573851672,999059756,67279214,840749794,358645896,949476093,194086593,446166006,621237569,789931885,186999590,717206998,150946432,45341937,827381217,595253894,246563769,215325708,49630993,130300765,176543430,55713747,983896306,407115720,181204509,732727194,679633794,734771012,868078040,354564356,721095009,794042428,405820909,341619155,231134934,795032268,547702012,386321351,186008722,316177138,686831179,441491496,391411187,696237308,718510918,32851549,253702508,277336195,993069436,93588495,118973092,734735787,63379536,787685202,314134397,299946236,410558146,382377017,907669839,4068775,917289804,224071405,428152196,286969670,515048121,492159903,511290562,278961288,880054445,831317239,940331249,385114363,146083032,340774736,18544656,111024787,272178417,849199812,452132842,496506274,100970238,477082340,639863760,377886134,503387824,669964179,530342106,249623415,781517846,108091132,325254883,851920935,671379292,332815304,608829034,831494306,73322231,244068394,705025045,596553667,861735176,978269278,521172544,785135806,43876492,824550781,594961532,883502739,909117020,601358578,198037636,869092343,107979509,753709083,818672202,887234380,141881904,80774801,818445643,173779165,503200000,701596790,857795353,241634972,187310145,799968850,958241101,863466828,506703572,778660690,136355920,634188820,868371483,256702527,529908493,239499193,901921589,722604454,103491651,21959183,823982275,521410600,570335356,283901869,68028593,312038477,9636032,563303200,160826339,698697404,60384525,239794542,694360541,38123004,591904572,205038578,636347009,536871551,279802577,935130183,92011676,855330343,38070037,867080438,311630004,462829192,864030532,2031480,249465063,788256180,982279957,483122707,782928298,596768985,525268382,875173742,434816551,987374634,367638315,963534789,302031868,399790672,460905248,186507161,389349470,99622518,814344562,351759144,731126077,621583958,251344005,899499703,121214452,207709177,456566818,304961539,865736049,273981035,203257476,761473298,746825427,487010960,863750888,77708677,18797616,746082554,543614103,60791106,904717111,673900183,480077192,140634465,162245764,422737487,892887811,812643216,329725747,985959404,564524347,273585890,33748269,95723001,564240115,932567744,320183015,953187309,877949666,148959155,729219902,441906790,404996254,455176671,727777919,246597346,701322262,452657245,353871491,49650551,13290531,510246283,284504615,973499235,547076630,354279041,858549411,148291107,75448038,3714252,445462049,277831922,379826809,964087014,506342279,306644483,790067319,506203203,780877102,359328450,381334446,94027836,616704239,898163616,712360543,912045942,152845202,821905938,704925378,674755564,1912123,706892973,426019148,800498727,796157223,196639938,77493597,708486906,140700465,834922833,258288024,672069010,439249249,622953139,757037634,378667398,837978446,503328271,60117306,826268451,217922656,1167241,858709853,834462474,930430791,987946223,539831445,709300168,396376154,873706965,171835183,769784355,682779692,787105458,358668849,622391437,682083095,152543235,658063092,960371469,786475797,679026011,75143712,755987025,70645268,453395683,211752856,175883161,321329054,713292016,596411351,164743070,345440332,620846154,956978509,821724284,791427977,174787211,748766253,667067738,613104463,442627046,313116099,969218269,305325948,188622344,72675863,811428819,944406265,34844779,904588164,511247173,391665744,304161057,258218462,494235262,937705055,234270790,100009622,513055261,665673529,361572033,26323754,546823550,697951549,48533195,160916410,156130833,912538829,733963007,534123568,856642689,441639916,506606064,872022728,235205416,52612288,579678001,384089714,358010354,752398556,612087609,904031466,640716094,795822362,363527425,76353174,699252062,907004634,809750934,166089748,861840194,719465934,416062009,544544785,72112566,314471950,889845441,730054736,878038632,974142038,516842567,740905556,274842010,755941223,81711499,386117995,166514748,121498832,965639164,533259987,876525631,533368258,959801474,364558976,803144808,661669693,358136176,809915641,7805900,173708053,872128942,432502200,451768679,479369443,131130648,232762235,530140803,335029945,211748079,204435083,678474078,642632168,461037944,642932677,906730420,520108262,640349579,923198814,572796081,626457163,105573278,413278503,763991904,551271705,250733420,491464178,434600715,503710868,530541083,445802035,829253665,6697631,123697930,401644458,295323871,448462139,516841863,132881364,986817394,129782443,642184512,709668083,605689586,571992304,969501554,78396395,292328559,640235053,984296826,511685478,633871284,44482619,919686221,487176028,722603268,632140546,52247053,544341528,487644427,367842787,463922372,480104163,427543686,635180691,773466080,873034167,73332972,944704559,447020080,24205260,851725038,418330208,596002648,843329795,190991872,479705907,486340812,279899230,436917941,90645798,199067624,489966543,875175199,459071647,623005735,105266204,657052233,973718944,583138098,308312065,631115848,851469780,136664422,971272127,422335512,714787819,77710874,324540949,974026443,299972970,642151850,756049538,204493423,575055484,191861888,329092854,49673860,576611981,474562800,193976402,454543341,86172305,178084658,248754004,226245882,969960550,870385476,942682956,587351636,9213622,471800105,71527620,535599317,388384228,523342480,11029451,164995209,701041169,878966574,613284628,140572358,556827188,234633761,621480175,696315631,642905201,686052188,997542404,477634659,775170402,769417795,121623540,984533954,909432703,62952571,202232970,434379071,377511225,441228192,896733101,389309971,219721187,833498718,546738472,722200655,500878869,872513390,863957062,552470138,50154606,878006761,21426953,466177901,182515221,734652813,224969834,892408388,625652223,731470862,204780013,921654404,544022066,559152087,785375746,515279195,592377129,543155790,617061539,301873010,533357193,498774404,798673812,920329664,542055992,185324053,397085491,947402319,664620792,288328673,545108432,176793274,676306204,545011161,6244899,68593778,51536804,572526118,981860509,20948430,908704682,696576913,958051428,424303348,327876939,372987861,919513860,267357957,193077076,49543054,323281840,445583903,244876839,287094760,638393395,941755598,743832611,461476856,830685995,351675570,193604238,310114842,667126317,91354329,121185775,559698441,619093018,2760423,623499997,934586703,798518497,817401859,386004017,46405852,428072597,99921003,88426343,952403222,541801469,747926058,338185892,305353107,610991679,50545766,773370035,511542170,259601543,973835687,678476124,395814187,144939659,331167672,363376650,518141917,476833352,64055072,290099821,256826906,74279031,178023485,842814605,769474672,60285517,594727669,711140474,971902956,635819439,275819585,557856110,561071097,673388705,375846992,631631174,752011259,381008463,415423490,402211702,611877408,787061461,930862077,904716263,479910347,615443106,661847086,21258081,379170980,810197696,953120583,998670497,435453059,523290526,948773787,483315387,544885551,580560417,696619559,588021771,294350698,999396857,10314674,839729817,367752394,646337948,215194833,349479463,109065328,790902589,194108706,791072713,406673403,14700335,315997996,646316681,591253980,829615992,730598653,352006534,590184972,468793448,363649000,797163073,94236777,387604177,693097722,411646602,597427991,295092711,771405730,405900071,343635381,814062215,818011055,916027072,717420854,594922886,81413458,683828747,43014823,25548432,282136107,701296436,361833256,505840731,953439814,915508386,14324568,555195477,67415115,811310727,316206652,809867955,326805707,831306732,121577373,363995019,596710541,840383425,318101884,19807496,43632145,779935421,485079257,125951824,117569620,636877055,238670297,292037696,777276177,477813665,577276847,458012323,162436820,649215751,735244061,786206294,361224032,367831509,240259472,689668860,276630449,517316803,67897630,777976673,755218340,48113229,788241387,334394453,190793524,14783472,84961013,960488704,369506132,352401963,388315224,163483319,877917891,153035398,45289032,186072565,457420974,828473050,17779292,263164993,783015670,27985221,136592420,862152917,580708018,535126971,486864364,943734939,843779833,17990853,566537137,859969907,934195574,206710768,812997784,44993076,394542348,427901643,629355902,349098129,526833314,1371962,520203580,643515057,20489563,482625921,950790440,781490638,754543890,95038737,577805291,915861961,685921442,939158518,444806204,679226159,733782406,206609950,892298629,831382033,445688021,399943457,145377803,971732616,209264648,596298205,184601216,568259821,165960128,914493442,144372062,917335626,670219593,434007154,930325249,706531451,893167050,290588405,467888706,824240672,346675873,31573065,288200855,104120717,219850851,765485075,207921152,327319107,781977225,278459163,585409807,632890500,768522072,729862284,778729878,41987748,666142333,66604899,10072284,484002074,684090423,796467066,991007187,768224816,922214160,300103570,792817421,534968642,483185580,445561941,591016632,915305977,647991372,258254867,404373757,347331094,333225793,716852582,474031264,318337416,771389052,873757014,711865861,57604619,135148358,771144064,262424664,613076790,67697442,630388525,552479623,77264008,191423057,402764854,525063868,542557057,844350630,478261647,447905211,549833431,952466742,441236953,692462827,789130022,321084766,416194919,460084569,713946309,17214264,356414415,52358882,933434406,933525798,499872349,634494060,627340585,738324608,725220816,455747134,428821863,421586069,735432533,925266874,884586904,512164418,937087124,19672522,75657819,212953591,101714357,914069683,513183597,345170035,735120560,655807122,718929141,855586350,606741644,973888756,25880203,127259597,462797431,355111029,911758296,908510409,989414571,341480865,554310244,298901539,969420535,707063751,831115454,986715233,742853620,446668836,6735176,430807403,309701380,555723761,824473396,528610662,848644223,890990179,68844567,762988727,416990675,775502813,214055791,106049075,723566367,382549923,224042942,795626520,168814105,375324907,765653454,597302838,851461829,147982554,817915394,670388519,97641071,173923127,994833882,140311825,521561148,485169470,56979435,317037941,760966471,32637660,64557727,480831442,178525550,775939214,287545435,50260053,384801470,865035171,232858115,567617341,756907194,574475848,83581047,332044164,120975071,857538410,893064690,355383553,169577325,293712211,711503844,947948450,333771027,448271425,532567101,120621051,284811001,765060601,216568205,177693083,803414212,69052602,632983847,930918077,208531481,919505815,962910810,321341476,969661764,518754443,753859476,597641111,587964969,195360556,691438793,474918657,289536132,280937392,654544893,242187956,680087225,66241315,935471324,337557653,775573724,294783971,8065320,412128399,368333746,927379733,834977966,769755422,840228289,442284814,496657769,143728120,560571501,505642215,40039811,840443686,814920206,108272533,545505544,514523829,827869817,2441896,654928768,343621618,583177521,28667891,812839186,314466186,198017458,322557524,204083361,280894502,919973847,404154866,985207545,812743451,503353533,639975055,449421214,396390867,560429791,428162692,882808281,772189854,779466004,132425414,279252789,101776047,997775306,75626453,834304992,57478785,400296791,888870667,324876814,323548005,15118500,523705039,102894672,293271106,351942509,285229991,743076323,728611339,177633988,207379125,211155318,596395294,330635692,859050995,370212493,606116405,468180948,848909443,877900943,394573666,807756930,760299833,728099102,283496623,540899260,570933634,47905545,946700045,190423395,272990692,212020409,127257208,521338802,378572869,612412603,309684398,949819973,28351414,366115473,66783981,251332428,423387050,491267932,215162664,440646022,73700711,859707243,944103710,363185331,920288938,200598740,569785452,484623067,512284489,939441074,347005916,316403992,174018292,209475290,797260944,152205300,507508555,450693898,507206062,697366663,874455400,527897190,781661244,997179766,807547477,152855430,682013714,23877192,721676360,304911417,338907720,642906752,433635207,925232818,304902205,385035337,149989101,800673989,666106307,443412220,321715997,480618341,127300837,422258606,105830976,616460513,217596986,993985795,787114800,630331547,295502996,741173459,901186440,214647289,370431005,974876500,336392099,217187666,909281484,940867194,971550172,721523195,649465855,973129428,548407475,917522633,919803297,442829498,17117185,562862061,711630385,223388895,902302938,902825950,112809835,776695649,519183600,677618459,842172629,17007959,430391477,471216066,484726222,782975094,376933492,951623573,645252542,31890893,239507426,492638308,591339859,797975494,275221423,411923998,521298363,548454533,636352029,7407149,325657114,17764532,662158314,983899258,62204899,257827720,513542996,461639494,893148503,278178466,325657556,30680110,42330126,3137846,229355035,625300960,143405126,990999118,681540797,482815508,580828215,259409717,270545606,331436884,172994971,18794637,613674155,588176421,189292824,96324596,146665692,899767655,263348512,228024674,503706243,215699355,778489491,173880146,860237933,533637207,407837395,891977777,148339793,39023837,897801408,854280827,879972356,235405738,457044945,265134991,76893415,775500283,105263681,484250092,918836350,739003373,144782385,925321221,776653665,520994929,901516302,996486476,780076420,647737189,884375586,551832245,625893209,843294161,968555190,591913123,577477507,345714475,216052753,812162831,303903334,659361814,749423526,780095367,864141506,946007090,35482584,278033273,27716594,226440075,553518442,212466037,470158131,8251636,104401475,906492151,941749716,967765245,467895849,152857011,126603748,3278740,378313325,191982188,310383143,701833350,681480423,483109071,103598102,712948811,90922847,563260129,262860854,909394003,166288486,38691469,190307756,13203742,772669437,409976920,38570600,315725952,5567783,99837513,429064162,608597176,782086760,967542179,457868402,657381540,484359959,273467215,814629525,771053655,484396846,549727464,773068760,523072490,300779742,44937467,609627092,287416062,770020896,632492958,375137547,44864216,832781348,120114558,327048369,634459417,489591103,341860905,598093130,701370662,788093473,435778803,697440796,88549602,785122924,742946850,723922768,419036125,649598866,844813283,900009949,203988276,371191510,612833082,772319562,620020512,338169579,544060422,16266423,592091759,1025175,199433419,383479529,504586886,195293709,266672934,140166996,198792875,58438932,67514518,294151583,297088239,768867012,809347034,784160001,97615493,357524073,117498359,118414851,213438665,244319264,319453548,307364692,732237589,309265821,660277744,45338051,180179910,367875312,333703609,827947986,152311939,899413517,702447384,550499560,363251679,513792449,157443546,604480277,85750987,794428288,356127000,659385501,672317385,747587806,519982134,257928658,363720532,95724194,199574939,344545324,485768648,210723051,909735716,765078136,82613088,545323255,516319127,954343044,580658840,92928570,648073011,509938883,940400257,23128244,909000930,392555062,801049554,85909880,797674267,302379338,705691033,488986141,239093260,102557482,356699949,278917153,329516446,274239437,233382875,123574374,508426029,182949729,179729698,553734942,741801734,561952462,47391152,19863986,97306960,733783954,959782724,703407976,716303114,316418219,620163017,57037848,486822419,257673221,915981752,658415727,203130506,134314615,800229624,714260474,400933635,839953715,682302196,927782539,897153614,992317192,890106386,334136281,880480441,629964799,893583473,825641591,33084216,264643283,257479805,375813094,823274964,849796443,953699688,370699454,627543223,561818772,743934926,591918331,879607652,397307123,450238291,419068976,539012139,771073153,579756364,398319242,628223095,969464342,890486122,281882583,628610058,807788677,117302902,138934073,552017770,36487019,453025991,196234890,946660148,818512605,906665527,452294978,649579018,217853998,658637832,611654580,811742356,641463870,310118861,206380599,154671437,744995622,522148225,256580545,949998179,322034949,543721994,896334555,758361328,770052268,143460361,50071657,851247045,61609561,886712037,666666727,824975136,253061983,532149434,754071213,61941055,737331302,910706031,281516688,794176726,945438182,554254074,406048857,963618539,371609476,213798983,83712611,186792523,696939605,30888672,966094694,590381463,129034753,399946960,160250204,690834700,903153771,751097029,71044949,314951143,228423877,78993464,29203494,306777683,619318660,958310676,887961896,265479404,305124458,668995421,543145125,622964125,804004891,619995093,172405371,334206079,824476711,722853462,935876301,724470980,816569431,767596340,671130622,502200340,600383110,59241655,532115235,696180192,855163213,18515251,220608527,183422539,349997421,18156135,780043290,905065325,605728590,35137863,10653427,870447187,12646052,766705755,728775653,888896621,91745587,296206341,410675576,251028693,215077340,48408999,279121072,125868576,681096562,511588301,432664707,803445596,594289845,688320863,393865966,174880215,840879551,644954703,513082804,597208735,84136547,486091013,290448377,207966875,239898245,454442223,860071203,526811529,908949998,815255630,668564275,566636087,691101607,424084675,669101675,777503855,59108927,43014561,182020868,541306873,680681859,894394278,323132606,615527423,287224932,80322721,154990319,660726689,341439205,683799921,578068809,396850320,812036742,913738031,576672523,302709455,913460855,72258922,779620609,584739665,773291183,739046691,431266873,558195594,456289500,298737995,265531664,604881129,110588404,182476258,37952813,123733035,747630729,668941955,400125357,114774978,729727825,170802297,277135312,7900997,962236454,218716661,915751880,672516493,681316106,141797240,184759999,480499181,856054942,460099146,993012267,135805789,279332667,147192654,151743041,640047134,701745686,914155071,93410265,285626962,953742805,500742447,865714980,430793794,66494081,13225744,697366075,834903759,741934048,271641932,70967851,951272120,681827096,888442794,299409406,932730950,310320640,458544522,792557712,897885559,727042110,691917942,607310210,609181843,422926550,112491675,129215895,470688900,739552025,644524817,718600214,414202350,528169542,713266662,333822966,8313102,857948229,893329819,260248145,19453001,382979850,143441466,672703823,802222576,73881846,72823741,316930079,15079771,784397128,55539999,177043390,566233721,736855206,41324810,409078018,673274831,181565532,349169716,406876746,344235628,307807966,501969119,831800056,439836590,772695645,264222198,926893387,781978491,97171708,615394385,635202743,595164994,943474068,706237509,701452471,931951660,130830996,594428363,103903763,535510083,432502978,92698085,598225646,826330408,811947439,327199743,765427150,540118361,409604442,509559312,649987285,147102835,769136235,970970520,220334052,992858439,550331126,345134368,689307995,169675560,612734079,452259244,81107559,633192037,630071262,234112943,520951691,171774268,86921864,745438065,678098619,579520204,652993409,10810262,262406589,641724637,105474379,465213442,909713039,453510871,24293876,793583278,722431057,421398324,570455366,167517850,164000648,504631849,831663621,444090821,589221061,464157966,448078714,103034698,743401970,795356892,566803340,673772485,54476883,249025921,468364279,906106404,809961806,24805522,958679406,869329093,980641732,88651849,856482055,183284720,249783177,214709044,333126796,499694256,330284780,805450373,592813741,689241086,5532583,996291179,89972801,86090703,372019639,922975371,418477210,766793516,111797484,520750989,231458291,251788946,657285751,600424228,382344803,332311427,552968012,796829524,245146552,980528220,556421809,874861590,68307169,44236136,637100210,544490394,823069629,339929836,977238599,184647842,173065800,800494910,514245492,821909643,259667622,406233696,858905107,101987015,261045555,340910010,372570607,925918861,959313876,396174984,620329578,331023946,117551153,868703892,333645074,850860628,33552615,233441364,46015346,868326351,270368623,183976174,338732774,572726764,789992269,895093501,870213910,252776941,361372228,680352246,256114355,299425952,896039406,833828456,147152639,82533441,380125505,763755139,712690708,865834725,237187282,332266954,813920126,438266677,858397088,44362541,231399850,817925402,863463333,374478849,407385598,901305383,711112167,990398067,684187527,397918017,178119547,674380325,546829908,898156893,648929545,925894958,474594270,242082597,602103594,670873268,857192878,771501019,200182144,640668621,990344856,853983771,782491231,93239133,462291482,265228543,273321469,617908953,573696573,718087201,196162311,553598980,90191096,582963321,630493578,766323405,787758612,897881768,696508717,599740978,348374745,281374585,392314678,995002931,792968740,572273241,596579610,177655664,424706575,155937702,20449492,617436514,481923031,279517592,294853656,116962471,276412754,970621326,677359760,835957314,812020904,203059433,307448842,969016064,777333419,177661320,216827043,885439178,350697932,664172170,190938103,53028187,968595375,571692323,692495147,551678598,336425978,415520038,958360104,709312087,782155944,742966876,302264515,336784132,720388834,235097695,225805740,337334057,770092337,393183628,209380170,227788484,735912113,637373153,629945416,798411682,898075137,76903557,780656464,648310721,397832646,87807165,711947521,988513320,762966579,548733821,278179159,46965314,633687703,997362929,960408512,882577795,880841391,279664912,326390113,743153531,385293286,61293601,107850032,432519106,655464953,572885386,921564602,666679172,533433272,503096669,161886235,204346875,50346607,688272252,659552454,830018578,426657936,331913173,250152044,438596841,207687791,35309318,153336049,370965602,359415956,61395443,635925433,445691691,764265441,846175918,736363710,389720865,797151107,324876648,11584001,82572586,233942374,39299065,846954196,374907553,506551492,961492245,711601930,262762289,940503780,320785591,647612132,50720267,552107857,699772988,67741057,873405287,288978634,862980183,738569512,23592868,614004674,215527839,473537508,217026406,613031935,635988087,608744935,55981542,278767474,436251533,734928518,424340788,546157049,596965756,931339782,359475005,431284453,92057662,83254349,557792268,555344673,678496308,423922253,641914617,887563407,191273157,343981319,735544289,489666897,327974487,682326381,832264300,95114022,233542303,931192206,582186658,542366922,827121581,294836761,767928698,125635237,449382065,783012181,533399248,736192578,452312486,643648291,469034827,6204926,754257081,869244517,367407644,657601245,537396099,565375586,677270381,712065339,211680190,403286844,141402610,209607012,299815018,17228696,307908329,978265360,476288944,353400249,243818803,794332905,866412578,580043944,744794364,345478196,706871081,781049708,368262270,5231706,511813186,404471494,703436199,522868382,857149446,597128818,755689692,152846262,415311908,326838723,846308891,512532192,967901947,297820237,247524090,787121497,756418262,549437181,467222565,66029545,179822211,232140203,448364917,126983258,253704282,946102930,887203620,54732275,168264917,325840214,895440810,275347949,824024386,289592370,602890503,710589612,604276664,100719403,436385434,669008948,348847752,791238325,949005477,394242895,949348793,691465108,843682099,981564174,722655015,177881338,452971593,436225945,179981671,470970595,160499069,534474977,195779269,856317214,45512742,793990805,523988651,346634950,746159064,39685873,262465044,150531394,126854,186893167,139852826,675061566,701937155,636393247,966116173,872614376,116686052,586443298,592593499,25899325,434840546,890515910,173323433,445662697,439074530,863222244,840794720,657147441,167781920,898650871,638983906,333627167,189418421,647387401,319461659,201930557,748937497,213170241,623759838,681768315,859715318,234524985,899475709,819458753,391246263,43585670,56580453,979462645,521108289,396309723,918937602,707998929,773906437,802221709,568579366,598197898,869357968,379934272,755926019,723097128,208754005,997545849,114648230,36296582,361894229,320410478,394050838,421630402,536589743,189022211,915393826,87084765,957883529,670702169,985125754,899722147,380400264,728575324,620968665,330647830,278751019,249947021,7360780,597484258,120908304,74990485,129389943,382572677,203399844,506285710,729207013,753569951,306711581,987268946,39343654,726190948,111351091,924269849,179163326,842172983,67679321,239584418,133933449,579788457,167158467,27968337,399186949,872031325,753335193,749495877,381261761,401011365,464126386,72457786,10993310,573663498,865338788,87016459,589729420,954597557,388090973,593265638,580545314,89553574,77283084,8093222,354201119,938294004,828323546,324760215,742935641,326727956,295475873,649108281,295622208,327927634,940518039,616238708,375179917,750723048,849346305,309936393,854299193,17577868,54669318,861377827,599534642,881965595,569679876,909229443,9852285,895581181,655469763,83239350,96862980,390125277,361038908,54127803,128972066,380114324,663874180,478999394,106718060,109053646,990166455,227218885,544050174,438389702,927943481,630293097,455219888,636425912,890707506,199137241,832511739,134203080,890865964,31848860,679903522,138765091,205472408,106859535,103519329,67620415,806616492,533361425,746816059,12794213,824948540,315133282,114375704,228479189,913021788,614053333,722820424,237648039,223610489,809214945,508821219,544774050,364893091,391563224,769093088,39996233,821486731,290256661,210843811,83118414,890639898,850623759,567026127,92862841,862585118,325549171,652011435,829214386,9197913,92097637,599938675,860161725,789790810,114930349,319132057,417850815,628402589,136360209,762692456,342393096,526087009,393629444,629868628,686858562,104658300,527515158,74651188,745327960,909854546,494982534,331349128,981956439,37011301,328374715,985013826,380624156,597149871,250802984,531482049,686924493,289558185,186502997,942527315,817604640,398077232,824851797,682782580,124626759,941294909,784212013,774563923,736174786,666745836,655052853,562747268,149447716,16503869,607712208,931872885,447372646,651930387,906155795,23679707,11996242,586370839,951332479,817558876,403611649,376177512,697556626,773070913,846687651,192838283,279950315,664201597,428582870,880168416,154480026,161261533,194293863,43951905,906131239,624501380,128565738,992846738,581110517,115117308,693620009,398906485,202794562,838881166,131643464,964997889,642828625,175208101,13245987,418453758,811943079,829497331,400578160,864159731,475596762,784856925,480758466,903984087,988877441,404145605,106124254,729207058,643822793,565500912,801197902,964978921,270914836,709795277,30128267,350699448,904395004,755426811,445206657,52225560,566942786,16054723,881964798,438290032,147106121,161503322,901005583,163243444,691589064,380213619,493814330,72493195,374585490,945781817,79201153,355912771,374996587,232489441,247269738,492227623,411752993,996145130,403766735,196647917,367538234,323282302,217016475,131416656,455163501,493312558,541876024,191070772,809596869,975891460,497980027,424732450,673350738,137116530,557943586,311468602,248836195,248604512,352954119,304303389,238581999,29345972,212733348,206902791,656075067,955461138,724836212,599814222,311076919,978453480,868833300,509787573,865922063,437076792,958367222,187626325,660789146,216379248,38724155,643244917,541487869,269323843,690230646,945122871,167119804,524508603,910340204,970754290,120343763,459501332,137232691,337077193,553971139,224506458,36639622,851059113,655202974,790859533,840638526,482769777,133630440,365634125,549394842,754874644,99768369,357906796,264076061,580644696,549626685,446815895,765298369,86484160,548429950,822272018,239623382,866459196,835771182,564619829,757376608,740107748,120038679,461298913,719291039,656047437,753730678,280420767,768294503,293041369,298507095,380137196,763193361,178427494,922631372,38165253,172615517,482901537,193268319,198377078,739535072,111052171,610986205,783589025,437414494,869709413,843634840,673323716,281774174,389164731,965439711,220005684,538481726,42821645,818602915,770598049,621357888,475055954,700946289,821912664,152639316,427060750,239681621,257235163,850605041,162862604,896309726,210377975,495527854,914133875,642372123,109870596,668408661,874984725,59701083,613461866,723377726,921734041,709629478,322951192,186901879,859354638,150225148,22644308,350749265,96172786,429809040,103345570,554767944,151641306,532359496,388507019,950989098,403755146,617534076,952313148,243258507,86295946,811264215,768300150,627467916,833435537,471107381,224049133,112756754,201658210,366173018,613038441,869919565,13120561,642504534,211832919,96640486,629885687,640186970,705614467,375377034,128923806,670090135,802376991,314756189,612840166,358864786,12259502,561423893,330902338,164781720,902587382,766731177,721472083,37001363,116937224,608701268,610776136,404183406,2371995,401237414,170571097,135007500,710519576,473083735,943425607,732545211,886650042,110085359,929853865,785631854,236940136,176337995,18427767,854222312,752773786,167789188,612697440,699104676,576860182,934032164,155157890,741821530,851964842,872286759,398487582,29674029,287804536,231676619,695110720,710239285,716195287,268399564,376725101,443867949,868349017,316722094,358069776,88688482,382837341,252933372,962648640,961299523,816623529,47205851,141977256,712179829,119837270,92877946,915382336,249059418,798566071,36291707,345612939,662389659,818621515,457752981,575388590,341091078,429901611,11486227,17061445,112101347,244150311,283202258,94430915,119930487,205710495,648454000,244894022,821964036,985328257,651316242,852313718,729718833,386141481,105913125,909670874,653661586,733185677,843405356,690950133,361207029,426492956,810271931,23437450,84705382,749416742,88354973,612860362,291379837,631052503,568447116,120284594,301516277,814324521,148560346,149771148,184150469,153642615,260759414,134819815,365153102,462161011,729507752,564994690,736417890,822067646,370479929,173991683,905046435,275967171,480909412,19929268,13636105,744118095,790899397,962417269,962736324,117920917,304940897,649172913,365028214,175698154,302612507,87149223,817989534,916974010,845281080,527867770,380882596,98676163,536179231,687580882,399092491,745706264,86921972,832473835,161159847,347417136,659996134,602227457,321959737,747163971,198633364,247052691,214495177,241688667,64797477,380075408,745550176,958285057,420878074,344750773,759622859,372162504,45047112,688611583,475597560,255074566,317642722,526745083,665427398,829001207,694104109,681757978,597900709,830278953,990278581,27728369,546518115,885763723,212155069,489134492,89596263,660395311,90964954,883183734,272639564,273703568,945723266,534587424,980344613,799679624,647531081,128157031,561084192,596265751,896694725,718726313,65020233,162149912,978131445,800540467,260589946,716541007,182114653,513415862,277804606,528871959,751464651,310098868,980415555,384287213,522380257,23202895,777018368,135023159,857500520,796306458,820217959,345921797,709864427,481990589,935853275,490707815,717951653,663760457,943964041,447762398,665385599,533377719,794737361,942328921,647652228,148870131,758506687,457895546,155104764,455809557,457368859,184046322,721602660,694125902,522436670,312914426,679325936,882225464,518646130,965055124,774862241,504582947,615113554,71686339,300635987,93053363,73058288,121311780,668647374,552343117,953281570,567622809,495423823,898089588,561397124,674155817,220523465,421281929,453880160,186802771,383635411,746468438,349633588,944027903,519739429,345261735,360093165,796473363,36369763,26301434,214920149,247312705,626980272,334658482,568741695,4485299,690023999,966895098,399989306,959636373,571946610,332122198,723826407,840674263,876140214,30858705,926011395,620646699,276609234,310303871,885610934,567336328,73720505,318781766,565101611,901481340,700912709,442566779,179267790,352748348,194998300,637377460,62296358,254440858,439151803,379320151,820757653,636042888,881842181,467991477,69384126,781821096,522145551,219895776,704765846,685982905,456209821,853681210,790333083,229450375,105912003,184549653,886475980,362453804,163750976,835524238,213942877,753113015,756405923,987498101,750599179,382095182,37558319,997484480,525137165,175943634,687181801,161007043,999958215,940877945,280760197,672205629,465727753,987696458,831841142,198325195,304884560,24459121,850685706,451532639,853795862,537144182,735181950,392783308,103313915,811792022,236709831,992695806,50781643,606507366,337589797,107509154,664201577,389159456,614081109,322073195,224358632,976450953,502596082,139829339,568321745,291343240,639165083,28786770,735514500,545058759,163943563,982005661,956652487,648323546,983588048,752311091,631251547,186783412,769393515,483299492,75387747,898462290,630485973,253213917,143598161,153303405,105299037,248902353,851548394,13135959,833529120,305471441,6217980,219569514,628102281,414235097,858732557,354452550,303936043,76292410,490622349,913848809,438340299,757866421,108265730,310042929,953701866,95357220,306411531,799761106,186110473,51093024,769938395,571095868,220207378,391614156,385322781,196550766,360989876,600936955,819318953,952281691,370575557,480066652,213328923,178632844,786980008,659059262,12227517,593370218,755377894,623593369,151724770,998191686,157654842,55000129,599865415,920791311,308768569,960695368,572334194,431652556,556249318,783917095,651927966,481388343,812841789,105491406,11437269,763027261,459280177,271033609,966218099,764938535,696145393,767957240,828669846,474045453,794932989,735558317,693408014,241350273,130333545,248554991,690280909,995689906,397910055,175629901,571517146,990203022,281347693,667140,939668721,27662806,617176635,996234410,736917270,173217736,55954124,598265619,650469593,685483296,335149384,934815242,677371310,716648422,380163979,225250866,710222816,606385331,739420632,14084009,901592322,672531767,523723950,151824987,238992528,348739888,163768174,823204503,780747393,733954334,633072617,367378195,314254345,382968856,624468732,178046497,286371348,168569422,657009523,380141889,193924380,239691012,161829284,636651783,99673716,342854453,576408858,598831665,531836396,858625362,112512317,841622599,495775855,668898378,653029038,957702649,684691750,830350591,982513342,918739949,180338176,906361314,626666048,822262984,223554106,610059780,393221027,845548423,397964241,450514409,237553046,916001576,315965408,609647319,404880975,901810787,24463953,606190287,712148710,862966420,700874999,588454837,67227931,538804851,700846661,172162986,82205084,222113937,607607230,966438685,480105178,855234177,671352957,984046573,322456597,788383453,550116364,262801243,985335107,87627748,273253974,598466861,940725935,55799647,390469286,265514226,996753499,536135173,38920035,326363314,260148059,988500444,859826519,601823738,412565349,109709782,311687984,206911220,141507397,317667145,903413526,19705390,720882025,537390606,944367045,598750562,591230202,8853405,829025645,509554745,57614777,673021578,813917871,662835612,140199937,215028406,744364700,58273074,612410786,912969076,332648087,289611530,259874055,298498923,932914319,791202378,206172633,724285543,597914265,3286249,777943270,677994693,18307633,754410377,682295054,17300153,991400593,624006451,18555047,401960518,206101641,911750504,867219383,51702163,777011323,98575065,376926819,971284916,369709437,751709601,682885422,261990935,114238708,337241269,197149968,63846134,999310944,741843331,499167938,595437222,523245528,985466563,607422674,794147676,597727722,598928179,430722475,695470872,235130074,413519690,105504287,154072793,129274816,135054588,195572758,353939178,424536469,827765541,769139142,115601493,204856241,283906635,575589733,361766574,426321431,454702860,304321712,661562188,7663736,750468914,703210298,704159631,254285180,718719539,473772802,300999484,660903661,228380370,23332607,937547643,308448558,808694827,278402879,108422915,654796028,356765387,171453695,933571548,95850420,643668921,4182777,212592997,664429005,410166513,433605742,787760699,735425230,133875442,188855539,27393510,423707690,953128397,679553693,170347395,245076842,642097414,929593218,42071058,35104748,675891581,526797784,951284655,838784228,680645442,485224672,110193101,227331633,858542054,551775611,88076041,944704115,149320513,364703160,502599171,891967187,683974911,479237915,139935891,574811542,474359458,639071436,736830265,133590604,986430985,223025412,985812336,624067866,355077770,377245137,679344163,781091359,230027947,22300197,140821423,675472944,564070052,730124423,150821779,39963102,172300096,611242831,356836814,323226171,490630975,394582947,68930618,797462554,346961806,829859808,22475483,283991327,662181099,511452677,855770275,958232050,224405243,762800174,606147673,200551704,938967662,346985600,153300168,279764391,634447378,68774207,972406328,40592430,232248815,409238569,113851853,615514057,236357303,766449082,916414201,63090703,939220890,527286879,144094034,724647889,495017665,648191564,497574785,267761337,251819459,470451219,447976486,782682894,344833827,108576841,127088452,665604434,295958265,165210595,325356401,430718599,373473026,404687892,603699946,331526390,642193994,647548679,923958911,201947430,999637401,364671939,920728022,364866363,486186925,170938904,399427944,180529832,779483062,596778060,344499670,690923583,497271858,93319236,319167027,424728637,585924296,211207559,384420365,186533790,96132367,415397138,198127980,456342037,977677992,199568859,838061427,98365136,98782195,364340070,594548449,1529512,283731492,307156495,621641065,23581712,607641284,678188956,645283439,115771923,966354407,641924970,332190940,625028540,235660333,540507808,839241001,87824699,981633958,736532063,99394345,545457269,439977928,818626907,882245070,45173246,184296627,223055876,35868165,570644225,629010291,243148661,935857249,588399755,704807787,414610262,361978138,252757307,42963698,694712915,214565828,952614694,635146214,809099130,942469426,982695480,660087157,815285801,333737944,81685683,776639768,939218595,319864853,88895232,235399331,88664419,366779592,503985975,828720441,904443082,57517986,412889294,331848505,624889212,276543133,9615342,177729890,700954417,704076570,803306488,913664315,793087822,892616934,867721704,532680584,265929828,832413359,668474079,929704378,295608471,826676033,835181920,854399001,25327441,33914472,314236031,875140461,226422656,619759165,234365392,332078725,727633621,673445898,213613424,89544798,734463096,321283442,226325249,747881366,3339780,690155949,183313009,388020314,293947088,266907420,898659854,536732017,373183931,417407304,254023199,213298873,545283083,52212215,664404240,125511204,80290581,274078222,519901555,766670097,647701189,802503828,631512179,315818593,691984443,830329082,899067600,542015042,778308693,198457144,376108970,289213167,527682033,722442949,506891582,889163052,923986625,524261250,705512823,798912302,873222002,647621742,197470620,600576817,720029311,744503646,30514387,176361078,593230667,11890591,913188881,127435449,827642293,681936623,70509540,72536170,378611668,748147288,922037096,982654552,731396052,63395032,753721296,736757255,375421698,211379539,143146878,732145127,303974915,437836712,820394274,750621525,217416908,795186582,189709038,219866724,480105200,413112017,743651662,705282807,145122632,286975201,893722621,545701082,518571992,263547201,346658753,371888016,68518168,601626551,744322839,227987561,58912383,178660721,902376830,51191471,440517503,624126677,782991576,201439836,714823104,741882755,808832032,812444608,264782750,944187973,854043047,501587157,603721385,793870326,470793706,149943082,553352716,96403710,851791189,13906923,798525012,942729228,802825782,107229472,485951855,516128471,393861141,397399465,363846566,454688309,639315794,83829769,505912711,472992959,138983417,766846734,161918030,453647940,223302967,693703550,386187943,610232959,936628734,392570463,169144501,846916998,695639295,795373451,217276095,989379072,789607985,191152460,913685441,352124966,543799634,810593491,8679394,78486976,384616886,345901117,607599922,630879855,569817192,328156856,770689625,321233893,796314629,911345686,379839302,825503108,861476431,701590885,100403590,249268554,657178765,953308960,515181111,653825577,691212488,817307658,821996660,425789190,264682662,127309839,42492830,650272373,353940087,716689628,83446527,611087093,952192610,834350795,617644925,37275826,285808101,544487511,505602898,280339426,58508911,728219192,239077278,190952376,564648807,741232314,847876752,940160677,797912598,214762465,324548159,329592292,827495836,623861375,801652245,173761351,20104467,341993201,232337787,90219720,595179861,239360431,191307012,382351974,33035099,911944809,820247947,996480038,464626253,656972329,78443055,752052045,258267793,559094408,239073724,105590191,217866452,956507105,663922377,46851689,538400837,324701367,644289761,736786761,499615204,376538623,711605958,572335414,150057687,677067731,332975367,926801169,616081723,19920906,531013925,34993572,490436318,847445552,266906782,936024890,195580391,842354960,450460136,20274533,196935008,787076882,826876637,535858307,549196391,316694226,806457026,629855583,863563625,914782258,974337181,429270802,527580517,523984922,113923869,811334285,461177181,279838070,111371453,79325065,821308376,335975412,243614919,825116895,498921789,608259139,663712586,260285682,603137638,341980141,384018171,509691463,695611009,113874875,212904751,329528120,69629163,736770738,104112326,878670767,200481908,324880961,678558404,41705414,344538260,811878596,386608956,651042838,68809391,959914659,573143699,824284712,117104861,804721453,68366055,505713284,564813240,864825402,507917575,72404696,114643110,736371162,542693521,775065300,57471692,555330998,699717203,403007909,39747400,464456209,652633954,648838526,27955212,982143794,387229126,167560864,626502628,403550914,218635638,910443796,159714175,474059427,991798825,461150043,527330827,384317469,304014388,531923195,588547891,865684766,525170127,652469653,663572806,417494105,554646594,482195551,54358640,362798315,399634207,923919656,732987842,115935917,781792802,806244354,788292135,451120963,419331499,582492068,101314541,436812063,219922194,911224222,342336123,364436942,493607033,758820934,313627861,657925277,261732439,409327934,941235741,764469578,490417435,842883714,272655629,668345270,23994738,684580160,206950606,564839051,898243515,977553981,470738801,351139037,247829949,242499671,944468524,865833616,364906727,577440734,585949211,198912881,297976919,479609938,79623690,345088450,152688310,6928812,502042670,350671845,255058155,333735506,428852390,174012951,666373578,489844732,990841498,253261763,464338389,551451327,252396818,242626363,192628882,67435135,419689041,840807245,626923238,258577165,174288150,330548645,950657713,645411103,186120612,12548360,494514941,142115189,307837993,5672794,419375020,496047231,23306173,401131181,180806754,10841706,636878491,701774697,940767462,590542913,627164450,851111003,806757352,410487523,889234094,543491184,438624596,151064368,406430719,662682323,772996330,300028365,702722761,964468824,411238301,34152881,229213150,184969961,362866047,575894075,217117676,396484574,712088915,112099943,831912231,84575519,889709903,158658384,901137082,885898440,471871195,234666561,746125444,436925692,799608256,215948997,162248527,803926016,357660628,357903927,91050517,647777867,592456305,504752952,121202909,686225442,59851481,715855152,527852437,197909196,723955262,902619717,10240796,45195209,887661510,586417099,803771514,509661368,23293765,366184883,701516360,661054294,939369955,621085820,42533461,914796942,947071001,219724556,485391570,607797679,355948474,734984097,39895987,89270221,41963839,389615516,890345716,722032821,289929855,104192519,863277431,601011809,666816156,425776232,552572868,603196837,761691433,964441909,530215261,692613830,75181782,801501873,803781597,137480281,430721656,29164832,250078954,869810726,460735226,366989677,700797177,872564590,280464315,796475551,190340450,318664915,611606052,688279360,895506157,768505255,935260854,790044583,379009447,649436334,798030340,432931265,811723352,667470689,706457820,634329976,523246816,697935190,758925470,306809461,66444414,645609263,447913746,536244283,877976605,623324286,506948816,854872946,834000679,543899806,555073738,246751817,787511655,208642866,131730358,531890992,467685252,93810624,77363003,509253025,791259303,394624206,996746690,78003241,799911069,497833389,37214648,962440973,728374351,177191466,6022373,249413015,417466720,368637271,365602281,567240438,742567697,847592437,979187930,428437406,970511686,166106526,908324762,654161597,301887420,803257610,912367048,415820808,345721574,585118128,877682611,664788664,599523175,993347196,993209569,491088496,694423663,448472737,536665768,456276033,848754438,691604521,876381226,159298711,1392236,79444164,251313597,152095737,55642184,221072545,145939186,598170474,477061060,856020402,715134874,459115723,629165645,194001774,527630907,770186591,836883786,866907974,934349434,20727810,473058042,428586201,951791314,134107174,323557463,88816619,551277022,802548534,164773722,89768218,514704084,324403849,833945114,662782611,774818841,616313535,743316120,955732435,329267195,659738459,145028402,24050941,62387118,295795031,106791464,518711208,244907206,192382855,874967944,626304545,394076065,738304328,107983559,301670283,467292527,145045456,912454342,516736552,962069434,726620194,537457560,92605700,258570388,684316319,368288455,885614440,590887797,599892554,919714654,532090593,652828379,595255944,642708187,781590068,183541722,298892077,412222122,925699114,843119482,962256275,321379137,807527899,300212293,418360534,302653219,871656850,224692383,595716132,34475580,142366243,900581057,458326226,491680710,882410308,91824052,604173344,8243158,342800527,15832332,422699437,363719339,855364040,488142413,510309158,147005435,603117729,100494043,565346673,495770219,138886980,133863144,912561016,121290531,630589352,960968687,744821247,772313662,959848675,82867073,976432944,22958071,504213538,60635680,90032846,67586123,101347399,593217305,787981693,595570611,596553011,280729940,216016943,722222300,99587131,994241671,927294049,191839561,916924338,313989722,401126964,360706287,662557456,395614500,715922449,13683792,272006607,46788981,982362538,234391132,672430718,680872203,325372883,671573985,68142470,624164526,990101020,728517163,148293796,959871252,731802306,296567609,737880167,632145843,226449080,114389104,23444169,263869011,40541501,36875729,289460743,761454949,401394396,655044459,102831369,610405320,510646248,700817461,799868189,164103077,106359726,313285253,942343836,843919441,631765544,843525590,271108409,372082996,178988939,264447788,101713373,857549554,575687567,497065221,198158773,977440912,449533621,10472630,666628896,795156383,576242523,42695742,770202928,763049156,285801186,771145851,342499390,817732574,389688821,149847848,70094705,297193609,755110323,949278440,452660711,476538738,610985624,346287829,666771185,30325169,395638855,463334879,641436379,546288372,222678400,966459843,656006616,432587971,107313057,33598233,74006833,830428300,809671128,539129559,241523757,80900075,949329782,172901739,154444972,685128679,375726798,430739811,187985898,742686925,865421896,259373377,838502623,284877244,232780387,902119473,490596614,470197491,372720825,320926319,735063149,96449942,943281582,964237513,569243779,615071851,314865438,654882057,103306734,718749349,627274308,246437976,147004156,978873386,579422059,817095532,389751057,150957440,857218084,191793711,738442551,548577788,808640760,65381483,390494313,409839716,307097076,165408469,969701262,852626791,891944604,991687789,58915100,627247615,732136465,302150023,712566397,463614236,527952951,828610458,404025651,818474030,914934132,824416847,986451119,200115021,65788795,483231932,360861091,735873450,184919016,125838113,717802601,585046392,579286789,313697798,561915847,430913594,297248954,302865941,321507762,915106260,736680043,761214008,888633455,317127670,190936174,692251634,177827389,918999021,220190044,396117996,628568199,26102509,811530328,923947717,55252740,337419520,658507034,378036244,472052417,654313257,406058743,390867131,500382591,462743950,665671557,549734307,79290003,93693914,868961708,709073649,80337270,775502165,627004436,556640777,83868075,883650303,75657958,855372773,968686496,470643161,15838115,789341076,400641052,35676652,583143325,508108660,925853850,516864895,562537011,353492917,772695372,142927657,45429278,45380915,748304418,68479614,248260876,691503410,89406788,647535039,792620439,249301599,650267021,541524575,216976940,807800317,759057249,690015472,552021336,123912751,224084687,941139650,875177595,638850000,410405227,554011643,494879351,573191697,578791208,705110949,847819699,981601703,274873117,720298603,734189142,106244833,776060474,626983047,945204613,751745477,997150170,809320498,226538738,321458542,276648172,574697698,334109839,294079551,181227799,958053552,472212119,407929550,547877066,183747013,475879629,94617612,807354696,882763026,211275900,251153000,915438415,400942514,328605606,222212519,355541176,260904719,281440774,974502972,817783723,195916587,444584990,709547448,872146924,194181959,631049771,14899912,123647157,854433845,723424984,688810013,517421940,208580394,422609214,412091115,886023169,804043640,822396152,542087888,127977360,870144285,922830129,190043447,677979576,750585734,414489475,314336584,621462920,876822167,880942582,364207708,492976938,526377216,363216832,903376249,76263958,581860800,982265310,371172748,599028596,860373684,562774468,192933502,898259535,606759995,685881501,3304270,17128575,214411944,682426811,895521289,622157762,962164202,253533197,668402319,657285663,481112295,860517038,580393168,920520959,534689745,772032587,354958887,824582013,478505481,339520553,809556239,443720496,589395538,955066590,411197764,426434677,293373165,192393410,252702486,321342551,163599000,85518746,769364541,834326234,264827941,602189183,66422511,836263847,557169782,965768511,943890145,138567198,290280797,55998339,176758673,255990268,405067889,485223819,326257453,41801771,300599161,522937048,964868733,374590487,348642396,330600259,187951714,239643314,486568268,727204814,896103362,506719830,454646956,309343592,164780752,500543213,411930770,145405078,361636234,187007084,62487178,917692236,907148403,909747942,849463219,73857482,345576566,487249414,946054614,155802869,156310762,957263165,49484130,524727501,33013087,510244451,954617469,627963369,728146927,624377773,79157397,152638049,341743619,656712582,893597881,516477517,692572811,917468953,920250588,589748417,1459643,379441942,37252933,145462292,850537523,735230746,450259308,761951708,893359126,282490095,68844790,667017304,270176650,142458820,304210311,354256325,47478055,586368181,628082731,186058217,734446717,150743162,840405274,184298476,204959115,576991599,478395010,692552546,737191691,738757298,349891731,498507673,159269388,215203440,262287754,868412497,328792006,714488932,231218075,33845727,948073700,326188080,278790909,815469350,953540117,514045769,235860140,987998610,535847292,186157940,696076926,724017363,121824867,299806509,421938928,291774915,51841205,287236072,572228415,558164570,950003344,879907506,473493552,774818248,845708259,898794869,56459255,796772042,375337054,971083401,423636847,750800330,399865749,327665303,4057308,763531927,558029241,340062576,133913325,199574414,734184755,562649442,144129551,911597463,22111520,85690535,239939987,198285546,401680775,615417291,15772515,377386206,759462991,495538757,743870183,332244917,80916598,7316464,843126102,258278425,10908732,679838691,236447324,538451172,40272839,46541250,549919017,289254695,718358200,702643347,83461821,923335595,38165615,168705185,783973190,99039569,982305823,913040739,700919409,551888822,904959024,464166169,83558929,391125636,969110020,337226464,621047524,651657489,300195180,972137042,266192816,843558426,560722978,991612801,685097958,875618415,679679037,308691009,262552480,860540393,813784008,52762035,640980592,881614443,932487147,244043388,494279567,557995408,689483528,666241328,370031497,229554457,386956473,153326136,572943214,221139611,202201457,871451742,731872617,712632919,37332798,871399459,706288238,364737882,682673855,484173961,549893021,127130365,785643772,866996577,123091874,812973037,550042819,321785676,669647155,863871826,348654971,518630139,285618580,616583471,713331193,276825038,599387857,897758426,754347176,880233544,518001800,576050561,855178569,701480061,95097274,851528633,791075357,704411492,771832795,464116037,184630816,711143696,676133120,638071142,64227033,223855760,222200440,359317764,946448122,271021522,476408498,431147530,411110763,837304898,762763683,875457018,253349234,679779727,95021319,87047538,897306997,289897045,29247771,863680675,813187840,701133485,102948951,152087573,272646939,469157771,193061072,748320388,729204526,372192280,918089936,348290013,5841329,589221720,363342557,492556170,955046549,766755730,119189065,65925707,823983681,279723170,256188704,850596249,949676256,690558807,8571939,69563223,558637985,175450762,620823722,236799703,581891535,24666490,640207019,283325270,376635181,745356996,274819358,988602924,148426670,593710906,4253844,484426851,89884046,882358398,861796240,79661506,974991808,947216100,506012485,436807644,684178305,906853429,290762531,315715801,623901066,301930359,763820190,464359479,200255563,859121848,267496949,57338545,845509189,933751956,34738299,568696737,763222085,982812509,594430870,787673875,961156889,494196706,472970221,914426847,690571330,914108021,292925210,156385753,66073144,105464259,780480772,592287881,690930628,925420495,565354784,298175124,349854442,101164164,899375561,170157910,102136019,834066817,989836492,184631096,833660445,786795713,713548051,641807104,229436970,201641921,560489227,854446085,472888205,970664813,639920280,785409829,787022726,462865012,569980048,275540748,165970557,1889237,622791781,202623801,834940307,310580857,606943347,238628170,444302883,641240201,471363401,658770635,402794814,609214127,255238900,469254801,438759034,578260393,166715951,611248244,355601301,444040301,428635391,279665981,790131150,783273484,470544525,691546789,603243096,285138606,747440044,318420356,761681839,624056935,719769107,658952971,788782061,181814573,291765530,585776625,838099622,900835297,777669605,590717020,702310962,48622839,705321197,821883491,470804252,192981831,110991328,87318376,11035542,80507137,575813607,289450600,606318493,851005888,919056892,66927271,97633852,485004287,249687202,908360427,180230041,269962016,645424671,815178330,532381442,245038780,974597428,578223705,492597859,766153947,995538923,363527278,755826725,647139554,445861555,742064401,45576451,287981263,676583068,60224936,951626087,214370574,911393025,366365897,891514259,590746314,543768753,132823666,689047470,916268612,412228698,173165566,534395165,940767503,388998263,3311077,897255656,370536348,832064183,53007332,311139942,972431835,806418483,356227161,808760045,410384782,772792393,888565380,487993003,518738494,12543900,512509125,848109644,661441535,19311007,513450976,777226606,335686202,897163267,268198822,355187107,633489672,425695944,88920662,873263778,60081997,265595702,922398162,819771642,295538480,268322103,382290093,447066923,796385116,22509996,757520500,194593219,496081844,645697965,849971315,479363534,79955001,545447227,236456471,448153505,974571188,261972926,118913323,274618938,325415895,759662046,962833753,664638114,130231034,83408531,396955253,121964459,375415413,176709293,78846037,393887789,833554893,38750607,263524531,111467789,92755662,924718513,995316765,824668497,440299253,688168066,781626671,54889791,640600323,524736289,829811852,501192637,121631957,473979383,427405895,848345648,559148660,288250753,769474111,979870253,168692512,248815449,642823960,478841080,517622890,598833801,882863752,603758796,69734848,898723534,323080384,911083089,272374179,842879823,689287350,638809065,282921243,246585127,773971446,997675743,962777757,578769687,568950323,770342723,892549939,155050579,947220893,994003655,518024991,137148477,983625903,309813507,745947622,482986386,809444763,289738684,86120610,235178057,219580863,521663607,193776216,248165902,9777455,681340188,599753489,437977659,220769375,917995945,192874960,647970962,21760017,522617830,117659063,356863362,1537485,311081766,5643082,732970033,831832659,357456080,262615073,81887119,213552633,300555990,656608097,30024117,915730063,405132249,144978145,389168214,158433451,157809979,813028329,718378620,257863918,632145867,447761027,69196905,64254285,645774933,909333345,265991464,562292561,752175378,335757526,5996023,447158574,278298595,789920372,292426121,964652152,701689144,859990105,200836041,89596709,682374246,673878239,367068047,265044014,680988505,768750393,785717116,511672667,664923158,616481353,238197061,475767569,265875563,692191376,634715795,2570390,657129653,887799140,360376721,292086076,575023302,571223522,485523464,184784202,855678585,342374655,801561844,819650222,140468740,869689580,396003197,188082502,789595271,593725877,607463026,542749857,375243167,883235674,903442563,221887034,132872532,225300691,836708641,127345829,888761853,401953400,143753469,353977350,734449771,734486225,517973893,742108050,293536010,124278545,31071536,818315015,980865758,166905416,539073384,780302059,247341847,788176900,818780650,9014734,485211281,662075747,446943574,296298323,701139013,384233463,726307754,63327783,162224639,272659834,114210948,176275056,322225550,494750750,435669923,420248974,986923079,807935496,399245868,240568485,489415215,779556156,427862330,715874501,998890082,312816648,404230372,138879977,640035370,658236913,536133749,189409930,985378651,943408375,244475569,342436343,217071200,312520183,921967322,599949387,715139783,479602169,787520539,320852034,582400795,646764451,584141842,272599159,146246103,705519308,908469826,149776052,267306117,892535958,485679048,24664527,667251401,363245894,483856980,118587216,138497368,375310717,770031900,559257920,79138722,18520294,16236625,247841769,810183668,555624201,89682385,543556387,184227865,29159080,631463993,578841998,719125332,718134409,560105243,695783366,495795269,877322068,742774246,136519799,322297293,190953648,642965942,651148009,825793291,848366880,262203117,788454627,848185147,469585955,515526063,849242782,899876173,757247669,518912586,657080028,907242368,626542912,205780432,357717717,343906484,973891627,906484860,675047429,962312160,432320801,484360702,776761958,969031601,23632000,968420513,706607924,554882741,372447081,694701826,873771783,169534173,841623676,460981187,655401077,366849104,431681920,679935562,37828438,208182645,995530820,422509247,100772786,201215358,862588899,44779329,567671325,328576529,740653190,176051277,690320401,288966913,635154108,339500686,270641061,669593275,20704746,207555787,531607726,803159973,745736972,637261987,440599680,54199868,39427439,534290375,548593029,215936349,412117230,578238884,62270160,945719965,360064481,116054742,27711553,492381786,94087964,692769097,856830651,10079110,197390042,570833308,398103844,271414016,876763582,179067241,856907644,299473961,85168672,227913635,182646106,7953039,30008040,23481539,988007091,494318636,418666553,301209462,954936837,852261784,598763136,363752446,879770656,281885262,339547946,524769731,113533882,62688088,944701683,540569955,805914594,174318444,636478775,288935996,846163118,6933279,948143655,798966516,992546518,283749336,293638126,682628756,675381425,734493757,892734725,867766886,648926284,656234375,12291511,43332683,226275343,274810104,940339915,535725641,771829090,494952143,676321148,816658558,414217821,223925295,129870265,163676703,87841183,493811269,219736597,583384202,605405151,122010915,783240518,994873462,321881180,902070369,633129504,29566631,666010803,249878860,11703525,634872961,814565278,322674240,3768196,972212568,721173578,200544544,482460777,518450026,435331927,605349521,770413209,823119462,161788846,7964471,100637231,970084812,783421997,201097047,266752500,30207067,202412961,728531581,728895609,614426019,398499830,100953717,992215407,43445998,851684325,30958392,432309097,902032955,472530145,14599818,162022319,116446857,926123886,285615768,951329543,237593170,541738879,941894822,468388868,900937349,897808791,634620723,19733648,365834960,383353347,12077503,285630379,410400835,518977870,728374378,499105059,687241336,187509732,91777862,66436514,581040299,544511686,848330775,506948508,852295134,352117921,480048443,711425558,637081445,886315932,715137752,737870362,848108942,456443354,275901370,779773386,910145766,182551234,772530601,823633058,175198429,697646565,384318624,698533227,774534675,574986922,287286845,740509082,502078495,774719793,191152899,459082349,608549553,630243867,62822387,673101955,206264350,821934609,339317585,607765385,731603762,815542012,32158127,208254331,545489321,878167018,373401899,705359126,911210908,751099254,611170386,180678505,481032847,561489024,437540447,714743416,623470341,867032431,426103035,187394170,972770300,767087515,370523297,7674861,944474792,541986061,771598434,6405700,269233814,763686761,793758062,148403583,484421578,376346017,143978985,292651974,743217116,430172240,440608717,119850863,710330150,849584841,756419165,395218534,313735374,512449608,670639704,916004494,787945132,225528918,164386336,23553749,565626363,314337475,580280503,400323809,240870136,229370031,570539938,465347228,803211533,418703449,366085891,496577607,490830370,297997277,46899797,271291375,248755674,146620732,175431417,633134805,873301314,16602139,293661599,868370986,970316555,187997377,14275234,2613735,148424093,791606209,305710533,219634156,414055225,388621152,322172629,725317450,14720368,361220672,437032596,17088960,55031101,297321695,247089060,537445195,95681841,712900488,853380491,246115213,151639446,507220727,748643990,930648537,683730996,306229334,81132001,224289122,221413952,621881907,404886702,96250993,147214863,517846881,557469333,705789570,983977196,906031793,615414840,208665310,665994138,166290313,770492812,587575497,856096171,264023389,620179413,207522876,907709904,375005922,104128842,82975774,124811182,570750565,260358335,439367887,899060034,462396692,477197115,325902845,795333818,624307681,809459085,834097495,768979319,487622626,902648985,907877770,608843222,384953349,300421778,614268213,563653071,599946935,352328657,69706539,112815841,954522432,171267047,778253987,678850347,711712870,963490133,668004367,565825914,908233023,161933692,780093430,410403042,28676842,443060720,15654405,797981880,657989737,264500421,227477741,278194421,268619871,391240962,554883853,398259327,955276782,77023455,807043527,348045056,530579812,956206885,277944499,459009114,729758297,54720464,562765471,887005134,995119959,635904012,766614885,74550887,775927403,355919579,194565851,793881314,483814251,821939531,299968251,96397305,68367844,36778963,593055904,575361304,606073908,216646301,453644587,712408878,392318206,50981118,177052714,657434125,960675992,847481327,954944360,346653587,505365047,732879667,918375961,740854295,292598772,428908485,874597924,626967042,745127237,923196868,279939851,908018437,891117962,9457006,279962571,121617314,537158128,746000627,206195021,297568541,201952039,964233700,100030331,983303194,686878277,384705376,892102859,631990587,550767535,536243148,765761453,542057054,511529530,861252225,867880081,690241597,176630702,121533156,91551525,466095630,782198730,491182019,201842032,729885951,654740909,635006939,78937086,319666468,284013814,189447754,873284036,645647297,953162432,769582145,507482857,397839417,655285864,44571021,134977231,329870814,895435441,943625697,907812037,243048152,945751497,806184324,844674374,600500313,546949394,337333299,443243254,13259500,694782541,654273724,742602848,581240864,860995157,33393512,584606166,371294819,81472055,271353026,864024293,791658761,670830023,745238340,95603171,139791326,176245360,308197955,168479805,33573126,282387854,5773279,401902226,536576121,91296643,70488132,711630875,505703933,895318099,861664820,353371275,973753725,230530512,631599588,546183701,679194142,465575779,200112264,97997718,920333062,534207337,733306045,477572757,185524323,281403524,728503414,842742708,118889571,820422996,859682059,29060121,442559572,888773115,909469310,479629637,740414019,479315594,128990933,111596984,79051459,114805631,213196446,937716199,754661403,837441596,383411396,553541389,95366387,800489383,56360624,213546130,364546796,903795617,854198358,730577364,615718556,634878447,911799848,421772836,288963920,315600360,236630537,248321485,857815513,782330384,225812404,616463730,666464852,650983840,56379411,275302893,547891617,957230532,404519336,454329224,859367103,853098622,219230306,117117027,368051407,112091008,672701203,605479038,670687296,578141485,45683294,202405911,834524469,993575878,536962551,717730959,543926600,781563949,163824685,157458705,846706589,789086580,550250943,537380764,581454505,758331964,688797485,11543057,51162869,916678590,490409915,19612841,456182322,745003424,35953862,276883104,257423427,955836491,819276005,904024572,378186331,506952712,65106136,145015496,536134437,346157928,524731574,689623730,954998003,546593694,79039056,409754782,213421330,613314748,25933167,835472967,1646365,783481497,598975102,561393480,378091033,671047478,457264909,70212475,622152907,12732708,346656640,446946300,806619391,468225671,542168892,538696662,300526318,895280124,916902533,537842911,983333846,136622672,24933862,802469667,69905931,421700350,835816807,526502451,269528634,908138868,105372984,304469792,597262227,886492997,469536119,451209998,343057163,105093077,557735336,442058029,897693743,689215100,963313567,483462176,518278936,800410207,13228855,290540737,146220506,53905759,818981368,819539353,948737548,83332120,464410520,924051903,767837073,652796828,302944747,530953290,542009593,724996057,890889249,376452260,822441448,62236054,443564856,762021694,888128620,750785556,615046021,850651124,684427967,763045363,409767145,573716577,16242486,910907536,682514732,771662550,382551027,562185876,561099510,154473060,956227622,310881752,24885738,122724740,705865887,579444701,350632134,812647317,109046085,740326830,641476421,597608474,572733277,477175718,49176658,509912961,64381912,959912721,488347562,386208528,231515089,40376279,241145272,87997934,932544449,723485947,484388170,550696959,374739313,298557956,856479869,919892510,610309496,154978481,445316117,875339274,374028593,513139270,85166735,327758896,472996630,822842317,365646201,823264141,883709398,369599735,735372989,739143376,807625713,183512181,271826617,882449681,503156378,168640499,165591767,77824710,295158483,527180708,805858786,694526654,592001157,883072702,390573122,884634676,340847402,439862584,254121992,685836198,446591464,340154785,98959457,454035207,102613333,552120046,198003336,814577658,365436522,640562003,117249241,993818233,870412405,2282143,147254648,594791355,328548056,89111233,920260078,362907827,265226889,644929606,390969639,288767299,915217856,430961380,945276360,595497295,942638564,123248722,739589557,450516390,866479818,339626728,558993589,363608529,839366024,473939996,293538212,512822186,656228361,51898543,66845216,930625070,723807565,626250469,33788579,590071493,239769018,496623753,588900196,758019906,628553545,169943210,854083597,702508216,649825579,47710310,420623734,865222646,34755128,693550148,239003571,918254884,210003819,530595180,678775264,639460732,940944330,630570197,733087774,428101833,71844828,312722250,665573923,177173264,481026137,135562158,116550547,200927417,997961521,242026757,951270566,193464133,797201026,580980008,946350988,879659449,63196024,527046539,990712408,716520871,891622739,99827641,320422,816255759,480469749,628515100,789663457,140538673,864967151,736756204,144233709,239102183,420918027,195562331,844239525,67998405,534747550,243026788,844902190,706778400,918729605,512888025,417920306,362290991,331739204,981648114,246335728,147773591,877180640,327754867,899266030,639872255,660366740,75054143,229171949,17214651,820663589,306544354,764802269,438109478,128396429,223909258,515199998,504346286,368932477,235067399,995766686,640434261,812307191,148754014,100822101,499777226,133598491,335154260,764540345,574574946,934351844,441112801,94074073,698248824,428913539,739127693,225142797,662006326,138881162,396135311,694608632,346332638,280483294,394878560,531886777,241360672,707094479,397068974,212655443,988113671,744961217,871190317,679211348,373968552,36437364,725192369,208073080,951447821,596434345,41851886,215450484,7529701,977243234,211070765,392620846,158683689,235353800,204069917,744834659,986008113,965070638,949972036,375428641,34800993,227721263,696172084,687277739,117695665,562933603,688172945,226035889,674509272,212740824,413651329,638506580,916752809,343785640,107684402,538791351,967986475,32029322,57964298,520258549,573049828,33769934,72359330,610883651,758730345,880239839,651639765,498452124,545198207,515965087,29044934,888505474,370002530,663103197,456079650,10114849,1230956,691740715,16371824,128566645,372741257,840108845,623196700,935501956,399540057,108190420,47506429,918824986,905941637,723385873,279224471,763552502,307288794,165732605,525152639,122121504,350449014,267668893,913316992,985893468,74460985,128069743,639707735,306044134,117051413,399139638,721213237,775858993,924155671,565387108,174666874,802716534,196179737,949203619,236448417,633551621,659021787,966179447,675559866,145145376,765979016,672404352,871845773,508803703,633093970,188144917,554513289,809026801,586683293,554576994,768495736,164096027,576167186,96539800,134106467,207202361,458923633,315490763,156729882,277297948,782044030,398475314,983622482,808479778,756395371,581429421,477390208,895770603,603064840,761213791,208097644,521456340,674183376,376963439,26879528,872688136,906960320,935336940,93954497,683597379,139202780,376388069,68348299,331323606,493373994,532553878,280935067,180508704,893046296,864220488,418579698,323254110,565203037,749159191,925441298,36351469,859500533,499027018,930626787,548222194,863636918,698743279,252848134,741857389,107139244,797742196,962890625,712467654,771971417,361267511,418667603,33151542,661958709,987168804,199716945,822814867,847654879,472516781,370134415,341672960,643113914,763391559,827670926,693402939,342102894,190682981,830696690,67772051,89586108,929978994,64224599,686485618,123665810,366908934,401933522,134750897,942160784,636383959,522110042,33282928,168925512,550111026,525756927,616179447,771691906,551466930,372571206,124792243,697946290,962915433,752389788,627754902,481878115,799653211,341180752,226964223,511451791,906604785,657575207,989915472,598018166,432854237,59090613,583209615,438108042,921428921,348232111,48787627,604412040,967226912,810281039,544434213,903290324,287509705,783986962,789976497,441181864,659781267,878361662,820093335,808801763,426539298,435184059,12226377,676676217,849140987,724963631,496209489,8325207,466404251,574380929,752754067,312224012,285903765,174841468,746056271,539635064,212800852,786335636,347397682,387785792,658226722,245734428,278687424,889165245,944451964,75934319,266079533,240891135,85416194,277796425,366997447,508581532,930329759,49331561,149647163,39373778,141609852,144560473,560215924,237829388,173820854,795519705,388009395,250622078,888390110,551509238,109554083,723709286,907051275,294195647,397397743,564504330,193830488,196425724,991545401,91749100,599249205,717915375,845104619,622991295,51074084,101475535,670207001,12448108,681269774,151619883,923053854,639432028,470095265,574019403,377633861,186462382,646110058,437944495,177604296,797866069,379669388,526101627,742336150,63092175,155469945,19174041,173015852,568849173,103486721,574891816,250045036,546850377,727806215,583013326,549999877,454689926,860098791,318790173,942747679,881932356,514445243,169371246,350929779,939560757,261853115,865950642,787133091,537537210,982852945,581752928,100262439,508808777,734314104,526309812,912050137,218770320,676610204,662480723,850983427,889476384,615169657,346829421,10175472,887861029,961658978,258016791,734028276,359430923,335493480,523736938,967757691,258964030,48962224,282491898,137444961,67422077,155764079,405947510,160957298,986248126,139166970,612301449,475282361,693674473,639696443,89847926,657534925,283689333,452011972,447978195,224726879,327522442,196268760,50705101,458071437,125636823,474740824,836779619,275146272,262097736,397330671,438349278,854116894,754885020,20972617,906381922,556988836,69246340,750931437,230803960,874582026,452961059,514841468,478651030,502749599,331392841,676179085,955783494,263347970,523891783,702796169,394927073,318939704,341205353,752761330,240564481,731874628,900448853,773469961,3084504,169731473,814502764,272511570,498598738,220918974,919129517,949987460,974341707,193801190,232042183,669504788,970336096,770217174,230112784,462331927,32610244,968808852,471086245,473923514,485368507,17362174,762758088,809504638,901079008,406197455,878415548,853008590,130112796,322316748,301061661,478813290,613847385,206025968,146928245,992133837,405576087,401351861,376252801,730339055,863088594,197048727,516420441,525435387,359543704,23831317,510063841,167318910,151799833,623836293,456559158,295036904,521029492,276407420,816170515,72692762,499681414,439487526,363737936,706893350,243725415,369291299,389251100,774452866,855155600,460149714,933832611,210186237,507839328,132509535,146364591,326259758,279487861,588784007,870238555,6871473,376439119,19333574,164675758,276015700,671065884,595317232,917440768,498753185,874598108,473458834,678621186,898421600,340202317,557378795,293201942,118907454,954343315,391506043,336805137,332222605,563485190,223571042,495930910,899911996,733296626,167927514,553795602,994546198,773691315,928041898,39688888,850636319,722022188,812938367,152730768,529003251,277670665,271145036,237231940,313876342,346536357,860978673,988042129,512656679,435696133,28601086,271873979,896683795,278083274,748844812,799457661,349216713,80371511,11450357,147283588,249722693,234482109,187520236,535315470,77686736,273104279,187635600,869885835,382883006,652471052,348241787,649403534,855287122,696701927,881420789,610741191,383456178,450525592,945872729,76495630,147041429,419275208,915871800,677534717,90324698,912862622,942382519,965402926,709557982,635939533,522989948,710529737,36719634,326490283,394753549,572235170,918536872,142590965,656075536,642331747,275856025,923155034,926358143,128126498,528267812,728159353,703969841,319648609,530257436,512325754,950070584,182131103,288846625,132804988,396085702,198175598,318849815,295036951,186966742,467653437,924076961,211148945,780934710,351351432,240881848,173384085,722565007,984634779,750387064,599494951,432531563,585068781,28871339,241046897,327900897,12247691,23813751,917131240,491323108,33763780,378049595,561652757,743273597,203357598,10093880,797780147,37919061,197182606,889549114,322152281,355868054,869251941,830999567,237269681,949676043,204672167,501001272,564194428,954105130,716230425,437943494,807878394,681918306,372059981,26635778,871140949,682119215,655111198,896766262,223017060,483851617,882729622,449438850,209078136,223698833,797351119,943450085,660300108,195929723,337650360,103431817,650185574,873215570,901561,180269663,101265262,463726481,922501997,473603907,680552591,877641564,684965996,377458468,440471720,984476606,955870604,756802941,340368249,223963841,651054392,994210546,554179954,234983402,617744133,494160397,335217882,328731621,335620825,900541336,754304869,460084825,782846447,781181348,913354721,414339241,577868722,868970432,286227852,133221445,3559841,844327829,502321556,960255340,359349618,544595545,560778758,237177696,994712134,495930003,791210102,975091647,231953671,883540346,366773729,706251568,591739732,200637803,153067217,723491663,494064032,820802705,258359209,200358169,338687431,307469646,464877405,177910444,575749366,640580689,190991751,14683228,314100133,410455204,415553343,964613586,634237752,605057370,428739706,360552801,760556575,686102542,992861121,602074738,5709910,735003101,203403810,738494376,411796598,788271953,953628577,893073130,200801575,123543805,372835656,929385688,221971916,404220073,118082508,8969653,899950307,132608856,139354167,363469787,396066056,143654194,649231384,892145741,746529597,123452388,902121851,822471220,156284957,218599996,753911234,4395684,350863143,853626483,37531701,893316450,6980520,69772638,760636498,662302623,320620668,377782217,124567135,869257916,166856231,658229899,327132662,105110269,403647970,817527109,850175818,352705952,910509593,761567403,200960635,876112537,808609736,293706415,317955241,276588039,925570755,345777668,385005827,809353637,170178613,496768710,181985233,315318387,440208469,936308569,57583115,20618925,286209645,890862016,651966032,341042140,964664140,29616439,958918109,49485705,640544536,91699968,662805271,71048922,408185415,891584267,424421700,929399251,707902318,594316014,360480411,496363200,488455501,970541246,387018072,729502464,200183080,878948850,916680114,662996141,208307530,364748362,935812413,133160846,940563662,310855802,632492126,154716647,33596857,744202470,256999061,756872550,971246277,93976455,221329065,290989946,579204201,497279546,945477337,638652052,93619016,481315889,671437185,345593739,632810701,288317494,394016544,2684089,187665070,56229132,918267759,208544814,965508393,72475716,285800850,900058927,964734527,405866963,452204718,990015662,325669650,867781006,998926494,517865061,439758271,975695557,775306986,641909567,696757002,11378786,579776699,406190883,563015184,459421516,187157818,710135030,773739178,419278729,890374827,623327864,190341956,407258148,159527729,430923261,842629533,897506555,236258058,563992629,435967022,350512722,272051307,628193606,228504053,398608995,416866242,804525809,499084891,7908875,484248874,101759945,853848738,834253099,309142804,976047413,730724304,356373280,125999636,586586877,63220682,865422487,654824852,520026057,813143195,55971195,395310788,62513204,887830365,81640209,308275328,504641661,366937017,856349932,218356630,80571094,648800083,786893486,447259175,724360928,20443411,510430168,262237899,246786391,221418350,254478843,337249062,94706717,457085804,550661231,478762714,646173108,812818603,471547338,95145840,667381656,662568098,757106818,466167276,549403309,639847164,865332068,880902900,211667403,328460179,276865579,111515760,970431794,199415213,305524276,10796812,53962766,315568277,746510794,67093862,484016721,430784087,338900103,377096180,597096624,69128589,716902117,362214180,192933894,519667534,776377767,359033150,777054348,800962659,564315218,235767424,988895548,874198576,971175702,272577654,257171005,503145301,943417365,97341019,194850163,37697402,336156213,99905577,31586699,97873377,95425991,365334477,873112258,986914418,629984151,950857386,264107472,444392057,713862392,199445772,773386823,686471340,653485585,358709576,30329780,631204920,831415355,180830404,652169807,895778407,744735601,530951869,625253984,197941560,332041981,388597197,394380769,348151309,46126096,970088141,247767842,394953774,583319765,799398853,296042244,60817222,153988770,99882215,757020869,690923729,434444578,638614352,48968908,148503327,346453101,59545608,198217339,2111613,179134867,231415702,923236313,780225101,690367714,360675066,161451115,647611033,292714863,120984596,205840350,851816937,823694137,199304189,329828839,743636565,697885987,109257996,864899676,563718601,408318781,15702437,813814795,253925202,258730713,272658650,948800413,855983021,879202152,516215667,657615301,600292149,748230114,974846888,244370897,222245287,491619152,802565880,799899533,652678405,403880734,666626244,844271458,196779942,217535716,195928799,448183342,435143720,193784454,952215119,228281294,239634377,509417572,697232623,327642850,398711545,374612687,649791496,126968874,898760200,103174691,199428996,833225965,488762612,600991116,66984308,711872644,614342625,317891904,567857834,643634353,168358534,95423274,675599450,76203872,169470366,692617011,818729485,84863162,975497351,136876859,951817379,666347568,379341062,394269910,896046145,286649062,514749592,221200329,534413225,541475039,376383915,677267436,352685758,27114154,125255734,234012043,657053715,857726298,141430769,547429248,394230879,453095759,883148772,394464412,783143215,536369570,499010265,351384809,143851716,961922902,164564944,380225974,13927014,130863054,940236666,452460023,656426353,538726256,823944972,975334874,482120758,448529509,285654538,77368476,354113728,565344598,980218064,949305017,799248860,275977262,357038655,275594232,844870009,70316529,700544279,649656981,30566796,218945512,591642401,384779112,986340585,904317397,449199680,326764768,28295960,18687880,395588489,204603301,565837237,47044178,815977777,470538900,62865242,11285158,599010878,178176676,988500331,112138860,428100508,999263666,250135920,859132051,740924632,478357802,632275507,94100885,701802098,157125951,121865638,291677535,774005337,517016321,407086779,956872590,653170921,946551418,769247390,7601513,678737394,146095366,516041045,156981291,284869639,772072193,617988144,17977168,756386060,715855822,680448852,404424520,453690261,536075808,494121306,771593660,932670678,561731510,410414541,243111190,380345716,481316186,306280998,955613745,539597092,729236395,685118116,999900263,304049140,749364982,819775452,95637006,97588146,973155547,909821488,583805501,383554102,3476532,997429234,395656307,412444801,773379846,869023532,974126247,851489904,220784315,578502085,680252276,453433623,302648926,683791853,992061640,831902357,68478182,128638502,416682263,908872477,26317165,228583607,721094204,549518889,496153249,998337047,731508363,593096933,16826479,996455880,326040482,685807611,66124801,804459434,182462857,67557405,681034984,640393212,696684415,821359477,505046006,58775578,307770096,752499660,820497891,72564925,331580702,626682928,102943046,687914428,771976779,14381387,700526973,298382503,665739561,951371644,584147618,519514425,397287854,150504079,429017327,550833497,16257117,852781514,370152649,136780506,463550098,287339788,168504688,128284781,290363756,258433917,243086372,921499580,965114965,762952507,616287461,369850859,186683564,105096028,107987617,840252679,316672029,238846883,218205842,811785991,249157020,997859095,549163546,835591008,404995179,566513065,441760534,136630135,203332319,565543864,886636509,960738521,293742507,765785150,307411496,686990785,426668685,537450880,958364493,869356216,199613330,818278301,80912993,813099894,751400263,883043472,980328226,676141026,252680776,363464083,603978277,922352863,378444823,167754199,612550973,573125742,885630493,158916773,832998220,811370455,492715233,964276412,414167042,410262095,742764815,316656246,185277190,497965903,198747333,929057251,128595177,747216745,75185247,17991255,456757236,325938600,759115741,866490843,523493457,644121724,353402828,803599932,432016032,87650965,750177719,596344606,515348319,576037649,36575015,891076206,443090227,311555463,563097239,201201862,19915210,197126047,876132967,375722834,674518728,36833123,128343321,610073745,613475254,473159679,595363563,566974359,280563017,209320496,958684408,661509945,627710215,107850182,959637394,631934638,140135108,918716482,815223540,778524397,162265314,739211967,708381537,64978508,231130882,353187023,552712332,421768691,753927055,928393480,144051213,101436411,923874028,679387602,731106721,59036250,651701385,75956938,122331053,577210916,730294310,479869706,614499100,223697546,750990127,442605518,603406270,509093818,659443266,127912665,288370849,298776220,22917408,624557624,167355019,826817509,152585720,531743955,352120846,900930421,641222739,562936849,110456648,128892316,178619682,590549527,463955469,425339725,138545705,553990656,941450093,225341252,908703385,894680134,202479269,718378828,968657244,916962207,360808500,581004815,164290529,388924378,797835151,207489061,179067132,113049599,175929109,769452790,715049140,581362025,467537986,841338858,475102365,666987836,846685501,957633472,429837032,868914894,898954929,140329368,854770883,359328377,329197511,77190726,386540761,61747241,386414653,543056521,215071618,710372319,660823707,924048963,526217166,145668579,845269113,198643144,36313107,794661827,72002673,78784862,49406796,443067454,90545449,213390135,688036866,149023615,775892849,954196635,633220424,840164875,285791832,343947462,432975411,125535048,187766324,366827312,981829916,686088914,816691836,847877530,541565109,443255529,145854383,770376840,955040752,833200146,388880112,796592472,635361003,169086291,199230933,411517043,902813132,381925417,753631470,95065849,376552251,566234891,757207489,108282609,197220604,156944614,525144477,911499830,758282013,636369688,41793616,846177916,476676339,773860245,111370900,525186000,597412929,430069519,448210023,819714405,249920831,929468050,7883370,793097820,465914513,236725096,728709146,351144633,187348293,485269670,103065161,859441895,503670112,478588610,902441825,664088782,457493671,566173392,72771833,24950574,236677637,746403132,89514671,799814537,346026221,294357516,243378069,834909301,931105012,181589080,964914276,809461643,126398601,246257896,475948446,268042789,384578621,231750172,980459362,534667724,54995671,662642039,674408372,981677841,281974352,187477744,688072457,388904634,10615180,445577085,257093576,100146795,307698350,487241862,150814935,878486034,672361623,471363005,63196505,462636986,838603787,890509439,541243138,5418093,447277640,152056240,750074071,748798102,848676451,175220187,623565273,731562734,594011748,14613092,802667770,870902794,663011518,693075356,635019790,949915511,948166876,162383430,534165084,905657694,372920162,313752881,884460071,110891399,48183338,513145401,61344807,281610686,231024092,361121443,97502696,444101001,656696163,961336942,894102596,937606624,848909847,108262245,518683417,773278519,803338819,368560249,917151059,86913188,277009462,366394324,792664371,832225137,931927773,89959328,629643131,244339385,762104955,230438783,853802266,813612646,801346459,334773905,500291012,800020000,713689156,47516179,154680905,51796706,865612821,324322253,857175006,352201490,792172719,109942428,645786811,985718823,762296307,300829949,433821620,261873828,467878378,576831372,3741803,607988906,389142562,38006933,576854256,442012465,710555532,819021591,492765852,776975923,739131577,412128575,963773552,823234329,240820233,987093623,426974220,124908151,205666419,563124912,864146282,128770356,733853593,977286840,61770222,660254401,290807349,366733884,912848128,143448859,950462745,904578284,858275927,558105820,226139507,369737749,776330210,753858873,977524726,858320892,825085437,884821992,74881360,314623715,533698463,229249292,925118387,400298977,688097450,336982129,904128892,904543589,194717749,891410237,75647801,26176917,748224154,520158404,620223105,140669681,698896058,741666875,598802022,401794095,872434527,827666,123047174,346113366,886280828,97219402,694793891,177967118,258129911,159091689,712238728,918400855,514117056,694326131,570614232,167509519,94646414,402631068,123092153,487963842,45666383,617391014,655785946,21894444,798074558,793891328,872082901,987293260,806520426,910267068,387725368,91500798,84987168,133465092,106667126,98971270,83016183,565696517,495400084,473846713,707286794,901857477,296104704,115512704,125632882,947885136,318393543,717387350,188752311,16597375,999707709,991035931,205952423,809328496,227945042,950622104,228506651,915939097,154813956,723848140,398002546,810343884,567214624,966148508,44424230,41320551,396853125,405655315,539941311,713713608,550144480,313539162,530358945,634007306,310902549,513946029,996734270,18258783,695161736,229532516,500659459,808735771,218672801,986524218,358642710,962462017,635699077,159504878,996734648,542465076,963258008,638407540,664091282,373427303,881860103,975996688,885806540,722329594,324854828,255461627,422357885,882940023,309003263,585059504,492566623,861837440,21306595,803861330,71836216,455276657,31497591,856406370,811665913,269219192,629021615,986171277,21199970,158084493,205787422,359940157,855477157,469671847,144922723,765989004,174884902,668351476,986489329,938469469,586459529,550569470,246442132,725474290,160311824,730878590,94269599,445647542,886494621,923496734,703034493,843729283,609622772,815075813,671582917,241266722,361206893,37230979,741992429,498941236,875543224,341469609,797445646,820351805,18648391,523610190,942577664,272468680,213515734,293767787,569633839,183014214,947353868,148636272,338673779,347952784,992494763,514534244,631915974,508029088,956900411,347339628,751333800,218969697,4524734,188425992,264244673,626838124,362937276,437431772,708107779,465494802,547359416,330587972,48177900,530873603,755550985,367179621,62704524,656226839,368362571,154304899,511787239,527829580,411322490,42329848,537307188,595913015,615460255,985720108,309084845,573056073,105596506,343282402,529653803,320273626,279663090,848107195,239100461,938638683,731225176,678266555,428131676,105346141,143519612,670331253,74892075,286019741,951655653,456592110,335688181,949844091,8269580,110725314,97931729,788076237,608957166,694668387,190499033,609260102,691473652,351690438,687835638,901928667,974487478,416040660,5427384,645534912,98000664,952111488,593653677,153504530,998654572,832183438,714550604,350169353,887891959,531966002,960104929,619203691,369786335,341328640,208017715,416596122,880233714,155402055,752941938,149996609,736810490,762744924,310357908,833752017,319087892,188508175,899907862,496906921,805983152,31741161,505838153,861629764,503421391,511160822,584928733,874620009,312497073,915290533,257291992,185848566,347026771,661184333,265134961,584981491,485099171,528433337,94491781,250490934,298653820,857120154,907277466,341399480,129194815,293203131,431960142,966237773,301396890,856338688,116492543,12430031,22808747,310428991,202838390,666279295,751817037,448319007,501845705,489733300,551562710,185820249,914105738,39851981,379589722,56875165,981233063,314754824,508014413,745212386,657375062,419665,508783753,988323960,471414494,966849060,460693588,444040385,562092294,243531410,710041749,451268355,467058681,289853258,535277494,900470353,973501120,69098664,8127649,484916501,101088655,418568020,584713224,593273335,614459196,680618615,534553909,688781836,299951847,691390075,723263808,154167238,864512787,743354110,567750116,262345348,126661557,418351999,28529531,684260482,183420305,23856276,833303558,906335712,70731824,393820115,483820421,770334925,540329791,376966774,338582704,58773395,954479833,319299361,131772965,93015980,741941683,904592935,274601848,798842046,430763329,28441783,96211403,918834219,808692629,645897861,920654590,680000669,958987024,208899228,675266579,931789662,217781253,511629689,909438733,778010357,281543585,996126666,937979199,689912384,47225492,997687159,185946204,609847778,228493713,657728575,302849916,362859208,225895567,940383938,654732754,470498391,986998546,896576201,681727949,175595719,117436496,441285832,225245142,159994574,680070740,34495583,397666979,295569857,474820580,732945277,844343121,218338911,336813783,276339140,632344425,88288988,993871965,381200673,923625459,156349142,957999232,350991453,133307887,484122927,152498388,914608996,474952065,431699899,407539239,375152953,333557375,137764137,857072022,602727984,150099467,779189692,685675802,447007829,577659643,545478125,681770104,247543368,103482410,475101309,844694689,252664481,736396207,723180470,986912227,89091391,700870217,14805349,303812349,944914112,604766683,816221230,581408510,374436471,691054992,527059170,48758421,327390156,760447124,874371438,168991479,936056771,612435976,176964718,211348682,258628623,982809811,345026788,802414958,184223985,377660735,417996664,749264138,212889682,283907468,781482414,882893240,956084162,646397275,881385824,221670946,686290619,219332938,616126005,251975416,457306012,506102857,242885264,284214614,627769064,230693506,21319166,684930291,976953267,492797496,793551474,358127325,103791251,287222229,651488472,947349571,253053425,119161217,543917246,584297716,144498180,193430150,902826262,642330345,711448756,609612005,688074427,374390183,855110380,93535335,70612888,501142405,532151590,367703865,246165953,856179679,294109842,471455853,822550416,394906595,743543765,38106170,162675666,784039368,650670158,406001896,154578659,582684240,704624951,112883046,997288652,279812013,825891822,809747393,242971212,978281970,162283308,737714988,674497177,310472730,896676095,7014847,84288054,242712482,289575458,809263598,856858864,529960910,49800761,430849902,338619728,412162393,674279558,228829704,493598293,72408916,618719366,500864299,651135284,422713954,842431228,484659457,797099814,276056919,121083174,26261956,310824857,625839443,322904738,246308821,745061655,70333486,86747571,949597652,802571351,521347897,513292585,823793860,595588217,601404706,763544760,75517740,35171890,442417424,550190239,88139565,508089107,135246017,8669901,154816022,965208461,843930617,38240959,976655499,107604343,363576848,370450938,46296990,263039039,873866788,649841250,303172124,933283070,401538634,728577577,370581325,438223102,585688888,882584477,219307550,595553855,156729914,386563509,812112954,294769598,222055607,908649422,531667197,380928491,413871009,828003922,685588394,277949631,741088474,700026515,379288058,62753302,291661447,487637545,500450573,808861577,950787047,167466493,454939006,529040611,36437670,237877932,597303436,253171749,271506145,9462921,99214672,533281904,991514583,455006025,375286368,557187405,76740385,431599489,526337206,244060653,904162986,310593933,869812043,583712192,942814157,763344151,771083384,920495054,934546350,447530953,876483509,813661041,4322520,45295225,186298891,682021284,179949076,118305553,363009517,159856008,167351084,756518514,951064217,897559130,95406662,801960729,994421723,240705608,115273383,746856118,248240600,839038610,931846789,253231287,128720813,263250487,544343094,315256787,570496601,730063806,227803308,182068972,419708845,901868692,493705064,739836789,375243407,148658385,68639694,304712096,17281405,519374683,890805010,35849691,567544666,78821061,52994419,115766810,993050807,51351414,599945846,341297247,345535360,418544574,895369467,308666287,383319598,794627223,875970425,651247049,18595899,474247629,892656054,40761243,529697181,325772547,80325121,18409740,240171036,766037219,772740007,364868837,182965165,384302698,561388080,265511311,898161321,246291103,754354636,379973430,329613305,818589453,236720955,23553091,9932253,378252552,254912861,579450974,780684963,907539454,501097386,845921484,532139572,170628203,714796676,705109182,281893189,548687121,461660068,65737470,377239209,980536221,618531872,695127763,691766223,884060013,255549143,406203411,249753022,40920662,855103417,18953347,200818061,847457867,958835881,754560685,936657253,616015628,526060227,915387399,239983539,318330396,373679982,9444841,460737962,779512252,485142341,255348988,732680329,30973579,551367238,533322903,110482007,350598013,626922855,484885412,412361243,367080323,314044747,952309294,467865531,514165196,772207120,955467035,276276402,872408959,721317036,804319148,454722900,674706632,668470409,526353728,827215660,954324353,703228518,221117986,461162999,926663717,706946012,464108493,578531316,428472899,242422497,315155060,928812189,640640276,47645752,978579306,419832680,99929831,824138784,690279631,234513328,249380918,519360121,657310192,532907584,536914837,778734322,760762060,481241166,811321578,185611578,554963751,513017647,786776222,333400141,767642860,934303279,570232287,408538582,145216419,486247977,330840061,569989828,424057,692401837,159877397,562959494,270120103,587437844,440659102,205863936,118740550,710761476,957217951,531377337,681242760,985913128,888584122,931988877,566039769,807380073,64366178,83248670,156862502,493045996,298161406,806340857,46848173,861646606,178129798,741790981,114395896,754880599,842698824,409820963,87907167,610057743,135801220,333665406,33473000,631451773,752932483,790736056,757349968,652166184,146817114,158321695,598066579,196701356,982264735,599202081,909898156,813594639,775235249,34841629,424259706,960353604,760953256,242449360,741085064,158680777,842737124,403283210,126505414,122506227,76093783,559832666,865171127,72605369,786799391,162364900,199360419,659513050,342036383,173925043,36196354,651461436,701522084,852487301,297603991,183477447,938205146,72168195,177416866,551844881,139171404,669801849,655742386,201229147,406276652,791976016,520428621,160607335,163773414,362314275,208623764,715113825,874858116,145702456,862941546,517438344,926624109,281439624,434708480,85739815,983307157,896190340,45538313,1112283,950417477,399621420,43017426,318124950,473264489,294139005,71955413,721961085,807882748,804101990,778615669,737868279,962721449,915666144,637163029,348939732,626537220,185217384,526371273,243982703,428722948,621680292,157006153,388187046,748100406,289201400,445979358,849864270,542913999,719550391,274936038,987972446,120241828,360547065,677699961,284434244,154679809,278159965,910877490,483419828,423110961,963586421,470228642,321591509,208365460,441155137,917845819,862802388,536636759,7551770,33951591,308995971,583693854,446791978,251257935,202245619,887805673,975942625,435554413,719521468,242628865,778151157,122435315,442096814,251712495,9530670,80415506,353140795,257723090,593831007,704597499,56261553,940260192,927729137,16366877,461846148,317039188,244313787,667996239,562378934,231415353,818822583,583153471,149684859,810348054,824825037,44359382,491355565,470575784,227565090,229355790,961912974,983862211,738749786,38627710,404353964,352192861,409204281,844056339,897316985,268188697,269423565,193463230,323422523,296754900,357941336,675414827,128426050,226698094,299356455,669140252,274377839,74070800,458498010,153108571,432900129,730400920,159087248,238215822,234803160,35033238,905989403,974459499,621098963,926127705,214507535,771929957,948186250,283336522,252122627,320234647,71608032,133946123,443917029,33769953,968093437,215210889,159255697,814967151,184130555,220011713,536171265,328411621,616356417,56667039,583897930,717435641,95740772,808460829,88171114,685347574,514506689,988092848,479986810,40536411,849668630,939343183,895169473,532158639,355038138,466417320,106557820,942660427,458454605,209798628,726455887,355860083,121802461,60192827,703491165,655844672,188194921,305620615,646465031,740582378,914455503,24824306,52469972,142000487,305845048,534649247,829911126,101051375,921899676,410876562,818114745,735180172,876696325,187728751,104805607,843756101,164481807,929522104,914883040,517628466,414437627,374101556,205065143,822114862,73106046,789590032,930071565,948515562,764742223,445590247,881254618,405741805,673496269,912001339,934004146,767933137,327828000,434731625,823479643,688660420,738084020,774633477,164325947,246433467,333603668,936232837,876267833,798595808,936968425,902061235,954873129,597732305,806409226,94671672,837211208,728209283,955334309,920178977,744558705,534014270,998130972,435147928,193930914,322153093,740942865,705922779,381777014,950670937,744583549,251579496,549364646,317598139,71417875,856287515,643939251,280563986,151384423,823878938,178042031,614105112,185815204,30889561,214602558,703479549,827119949,462598351,264362965,18710098,311756894,887293002,850997785,956368221,624194679,115383106,987794536,956596708,81360378,584582246,403541567,534419263,558113207,126549395,859073546,576185303,648116925,562317695,975981229,901737647,235125303,779675974,785625036,135729012,529464219,186307351,342264233,847775556,775832855,83637432,459198402,603625459,258971535,630761552,970187734,527321746,365494020,733918007,308258117,734009071,778429431,12014057,186514062,725583125,394943884,217867877,474452676,263469773,250529960,292674429,289687249,679738115,150613461,368625358,33003442,735574277,492849305,454162183,48136844,4371965,544373150,716003200,592434294,63183668,782378661,725414139,567652120,232115047,740148084,403487557,619676888,730615864,939285587,197530959,587042003,838262736,151800086,14289903,642463302,463530836,950221869,145570441,996360113,328677931,172397903,928826428,91587137,297979301,277607278,753521859,342383631,938626557,588628886,101916003,298733952,68282356,884058173,485817497,367986843,739959333,277126169,888787363,174333752,34925415,974236736,76794443,918920470,709897863,304182886,68483033,630101073,809812377,940734685,860414016,77694641,378625376,355881721,265605966,64749486,337004580,524362235,625564337,164346675,515106828,803993118,197934412,54995419,683022256,206880437,835041626,454029682,506949697,598457262,976086854,921621835,96179571,813874872,577365678,431277249,685715191,744997087,350098437,172845013,47544411,317611190,5974481,552147395,11037920,132029516,466933954,530725215,488935504,261884161,704168525,60335007,617654229,732349363,568456682,432175192,995705108,564072966,212025999,604679939,384760633,997688772,148434460,293091947,593524792,143536251,239241407,152661494,614020038,856863374,829881544,736535867,783899201,955855237,702207271,655825049,520753353,926574090,280176440,531859350,286086230,654475584,108925227,792545370,637727042,317626178,156502094,714038015,65342031,66841191,273500717,576685875,720596377,477820895,829323791,603374008,280208250,465470224,148589809,108101495,458151974,519594273,395878909,118099045,403587185,204743178,486927114,763652130,885711955,519770509,560208862,351411642,197465968,157133609,774875748,933544766,560407189,801458710,567058611,675270159,383847808,956854241,259521614,406870158,240032454,901915509,186855231,742415207,242274657,959096046,163319765,358314433,666326910,513017411,902996236,118670838,868541127,718845814,746672526,403102022,953462348,839495960,484887845,306432870,33458487,946875292,767426018,651187853,343150103,592775930,668539598,262499423,675594229,821618088,718521791,643885619,979494966,384834948,37280488,517518897,678364595,696510042,567204766,414636007,95971199,640314474,163909760,75157691,819647921,898139358,166219609,622435208,745280484,317724165,940799410,347193677,970358612,769580086,236303693,224150731,655036487,44546009,906787027,451671130,59892617,48158270,641682973,241697565,230772827,809411568,344115059,954647591,712101651,551684118,484885139,764602580,273009365,333154511,895316888,180479542,907642959,399382357,14264731,522972253,323163690,92836881,112272943,657092203,37078900,979732006,772893034,435270512,305727027,669889646,244180559,339480992,458488757,706890040,378271219,802857428,373504048,131667616,248811784,776539383,155707458,369297467,102353910,12623269,93128455,89277859,719668570,913208813,715763139,426726923,93486747,48746567,420487773,765083915,224119101,283081311,429332490,809151562,281898991,880144185,924612960,952121065,74726899,829716652,778789659,793964093,171254422,774102855,577393938,682956436,799027767,603598892,177573240,758988736,521325569,54389,849558279,197449240,420979185,165887442,849243037,237527000,859656082,910089065,863794942,896759802,760187456,654011007,993779456,598059163,26507790,644795228,667628621,311549812,816461782,352403635,710193047,497685921,574177560,597396727,105352830,416185177,795305062,532046064,16386591,308970338,661315607,869855683,22679204,783243325,665726836,531705740,736616353,703975601,317780795,577479503,784640010,820417412,996619129,882199668,251582170,562087017,453168166,721519090,723145880,108237235,304425717,191395458,640004573,279147704,466600315,521032995,398900302,713554274,455031274,776855083,678663518,290694425,114628984,849134681,336675328,223460308,49041376,197460514,878894743,332404458,339203584,525211902,763597666,875054302,959423203,65934989,523206660,141845340,867678832,498673377,725942255,836515788,115916062,382131722,644446532,632876276,203766625,962935389,962220236,966688176,593527404,390819871,108088800,496743056,750822144,221279839,894481869,35249478,494028126,553646521,725808068,920354045,260775837,40238087,762364230,823626928,695093754,257111848,754302072,903092103,278847282,261492149,706305034,64384447,415599890,489964780,385578820,502077636,544454439,188489711,658064644,925508908,706734840,702066896,887652087,759567181,817073872,333890654,480372521,560184335,241038563,505828954,665410274,65529703,161240881,266653379,372967977,875431530,595388306,377651150,447866565,739281355,633080886,342804302,986351030,942688445,127442542,400166688,585304084,680599574,486762938,391667817,321583307,483352859,571439884,584241766,649268287,429395153,51794678,542265211,945413832,904902134,281462172,484890554,38395377,364748628,561334742,408200372,889195374,709098769,294450139,358975487,275056697,971891006,353310462,124671601,112814546,456140527,104303308,425739669,147135047,477139169,593925044,242194032,983539952,486946373,356899443,769752231,976414479,910771061,632830691,473491463,269780976,976289778,200893426,683282992,672589064,223950925,11640087,492382120,148314825,607531069,350657654,153432165,267094113,562344199,885440473,276166685,126421445,261580745,666655002,591541935,684107303,643257950,945082773,933104692,933371791,720614531,882262297,206407461,104484630,979786002,919310367,511896064,11748098,81936213,605635070,747186390,364945334,469524071,864482894,315495222,176562020,930093507,161325039,206217924,377675417,470109905,818798706,104336754,638882454,656493156,667900349,25687976,201224361,79418487,836143931,508498048,146246699,584391717,460967377,124469255,427630465,816269711,186593358,246566863,559486303,76786236,166829702,946884055,696079233,34696455,52132422,70039888,773753381,49172643,604762053,253220718,397475039,827744120,455108587,855366273,605804893,916330276,142935781,952232776,560329555,150035019,293113109,886287915,449949540,925839963,574000328,632815240,306829756,489688347,452002413,743736095,627621371,195036209,217037922,499005168,139305178,357104653,183192303,371641002,628039937,295047460,571351545,990523662,919858907,964294919,206288094,66730432,122647978,500170464,624977153,282736544,664983934,286502504,590334478,278516021,888109985,96098053,304400121,136102395,610488707,453688400,251444462,566704393,908359008,506946819,2257787,700900168,711989335,719425519,7931397,459513159,638369910,241114997,262075203,885677533,950965070,329746411,385962925,954944053,151182322,384229648,152818565,57180014,319773718,954271419,591295161,564157843,594541013,554206642,259994354,911430988,493183618,782573227,945209374,477351983,704177193,250665392,10559713,306067112,396035650,701249776,464281307,149125797,383507771,863010023,573291608,786823945,507371182,622780976,596507826,950845201,227578766,219624222,623862138,742875465,715080795,325694419,586663229,873275077,384253511,51157628,996224726,156218192,229264136,927319871,657320965,947939591,490983977,75750410,304226475,447947763,922115514,205533897,598818174,387486209,371532163,10124250,390433225,387338278,720179459,15836137,130445295,730876362,65982530,84435624,54590680,193018195,460313454,106319035,625228784,964584018,541630423,613455411,141847256,218261746,661431768,660772375,862777623,399315836,189780167,548942527,226970113,171399455,966947634,91324846,122473943,781250239,989269353,218815265,96070738,936728380,314779960,223138827,307584021,637614595,981865017,331794996,678018954,295641257,670632465,738610102,174574169,689102608,838296460,813592969,118159801,872793884,282987461,319291009,21502469,575329341,656790991,560046448,865771890,389123451,422414767,908643669,23465659,732729752,578628561,187328349,93293274,20053715,574948704,516088591,793043384,174481858,18138981,411228430,524286646,126504775,583971725,905342870,377521892,731749259,679715554,563491876,239516606,286725474,615856637,535912757,714708979,247655396,212612476,567867789,985710546,112606043,836339500,997514108,266323259,74230628,446751451,388982212,346822128,770660671,982483230,139853014,632674196,60650318,367871422,879497744,379374174,382546892,594819486,435228617,51537503,439396286,57256020,89008227,843515744,318363193,474492435,131896424,912131855,747749147,945906737,118656015,989575573,997179946,180468931,955970975,903056864,722842822,498700250,214365046,834690300,971494045,496538688,364733654,530372604,776485011,134644576,533615789,114758393,999528264,155735946,213956323,474869444,379296547,65529981,830178955,59923825,91997235,265115601,881758341,69423903,229762867,757860486,600216247,213650636,400131606,512941130,805837567,81718552,880623625,274694697,282920001,655538855,71265667,845777843,892854262,624819346,477302298,230694951,969350493,827270904,276205153,802411083,991085412,456646734,324982879,456189714,317206809,466288847,400268751,212253577,343050869,400932195,705398329,976319441,791264660,168262714,192946904,109616695,632719563,200706110,99138534,406998799,171441699,765191009,486225529,407462874,217980801,711128178,503245453,469165098,144272784,996487543,729822420,667486770,148512858,789622617,455835192,657137393,734991280,185701017,705941069,187830970,180360398,598354745,451064261,700783119,361092623,972895709,997965812,341682934,367973170,905859374,243297516,68690510,944472193,822783796,53010150,835431925,486253801,258733706,713775306,777991129,238075331,524759581,302340492,249336486,893120949,403329136,546164352,732347992,647596174,592691310,682648666,342978898,389156178,607327435,964077807,926942930,299637281,817641302,451076456,895881308,552120364,28886126,978340406,359030012,981661011,989898029,972726182,669074279,154717489,247358209,1567095,251198378,670223341,574941481,587502321,886343299,91921573,481174315,470266789,663662311,968070692,827371440,696292628,568309077,75518081,642404272,436796959,295805696,92972978,56714605,660230133,179324666,996220499,326722997,350211631,534500170,110616770,912320728,160411527,607991298,24008878,526905479,778446400,257996331,408182380,774175664,129523174,376770415,340672401,712849537,725536276,121066388,423463461,200964968,260361605,142261876,377293696,890954226,339059984,677080094,726193229,562734158,736296318,217662854,852106637,294273590,629621607,336352812,836221174,49353368,928330660,307674657,342224512,210979586,639758196,660725273,363905666,343532459,532315034,51468143,947329737,759470262,122220562,684312995,425586645,818749186,318425101,151887771,82597482,481367594,180100183,984139992,476048124,465774624,311756521,558460356,571615523,958471807,920825316,316367361,870491944,404793783,134382417,511229688,558259997,104014142,290706140,683649089,68881791,506410612,475965870,821249181,490171788,157720730,188382793,232289062,941557039,346983142,188022483,387241926,305204029,720996758,792412612,983709300,213242014,94889974,163994387,945325905,642133418,540175008,303387835,559224204,268953632,509234275,270120043,221635381,438847358,678932527,838126012,243506258,43794464,776269579,266166422,693811795,378978879,172645472,169408809,762929332,771094798,770866182,986875297,48933129,855145245,192563917,852071237,449620950,550674318,29758676,986586796,247717821,5004583,18086875,835016681,758011422,513892748,813296557,671217022,509817786,382662034,494828704,721623705,557036560,715238622,804173106,532884614,433303867,37247159,260098694,720822637,4392390,405191129,888177745,381609400,890698274,152653467,354137624,850007133,315993039,754312586,123516728,415902041,317092309,123751014,931638019,973027623,35425412,421975578,339647515,333060999,921437701,454370103,514224288,620277896,614708320,264099489,74559083,58403566,278336398,805984663,878337100,222064315,898014792,71873259,486926150,394120279,646943052,822638107,608911308,321259759,585105111,108912146,863250184,34423217,663775007,880247622,576577422,71725923,654879997,444425178,916336627,523429723,807323311,317693028,438821251,236113337,595507065,538543853,951227371,909323957,732788597,249394477,665420894,555338614,811380444,668757089,739278856,274659300,928878152,844793511,924048993,591031272,601890462,336450193,172469526,809872767,414479515,116984280,536484107,412777791,63443203,143720746,657918773,434733980,173582554,833727106,170311413,423568308,353902282,368627321,887295564,168747502,27597089,949621007,114308930,364341486,267931581,238332638,301369045,210848559,7204561,426336978,900702606,463895372,874456767,1808154,92128493,153907722,414643146,993886985,336218089,622622149,574944274,476831135,225553314,636064631,901478671,932441965,148513322,276693944,695842581,331181188,82804097,846359493,359842833,964803664,302289167,463125434,695428621,475675462,856901458,268107925,533634498,496919658,68756071,607987817,404532247,428803354,340891206,597541204,973460477,435707904,606207778,62354152,700574856,994984486,91119732,337579548,853811862,194664538,800822703,837873409,418191555,308524054,805641382,649971975,56058547,994712455,459967619,408162655,292282372,524406554,194093632,138796626,698005554,54701274,225626011,805665144,643020417,996616831,711271331,833694280,532682775,820254764,764309148,734160205,76739998,144180889,17061684,552608786,973876721,691855726,285838342,210278856,881594848,808420601,390147594,318434390,549425437,786521963,387332901,617804340,90556746,16934989,328635464,288087360,395497637,115291885,79644554,177180205,824063133,776348546,142966529,57266687,565862316,98388696,877453169,316748887,853832365,562253547,787985848,988333849,38611611,719457005,313440781,246830379,90410612,867751382,471449881,197129739,750390218,573880508,141955116,468044047,408756299,939862562,71042185,982229035,195632441,647978488,367100677,565759614,12149647,972360395,489315973,460562189,205338945,236080501,991768978,388835129,533452914,175421574,322620195,670192688,887466050,675881634,964272413,139769490,877619271,918030149,775752121,727606156,680489212,334526212,773386569,163194271,198453696,831207914,238036346,458986615,530758581,40051236,83802839,759692055,605274772,779922898,14816567,239526214,939153265,123386377,405302514,48450935,844585211,496707034,982354970,645656689,727163077,957368776,184273411,855663945,73759488,972262008,56399106,666744847,551528024,773203407,645536635,976305586,787466797,198329086,366458506,912369721,648748175,810162237,20770936,857362559,563333405,635838840,731464859,127798218,988776058,278764253,164853061,794792429,934410560,858112786,106344815,12944883,96970870,844053229,540290924,654049225,782655379,68491279,387132817,678604063,611069337,419226644,989075591,900735416,998007687,213847245,402137097,482779016,366724404,422207436,97362978,805150462,418630771,422002970,242366780,213393403,632461599,811679276,485947882,163030813,708161842,404702953,137359656,538905387,505013529,556529353,564792178,163191280,637630282,104817617,340622339,807825892,454025716,572386899,55533747,15135584,233438761,702365210,585062790,408183380,429712654,501034318,714456212,37818011,668438498,729839940,458483728,676450485,370197555,779711623,873381189,249647304,882525905,87404187,363591103,547492629,869718678,230480690,84370016,889494105,588548273,335867460,950675514,186509953,782419800,830070978,645422701,381870221,486413809,241520057,196715836,946472728,132343659,808283780,461310013,58423391,672398716,228677875,874841154,222926594,204812213,470191151,822482699,466938122,386662605,719403737,10019658,811593303,319290272,175884145,342302352,497154088,746825338,545416993,313202223,495119654,109031387,715115255,771770331,700564287,374454631,216957814,883318291,137409098,302176011,262200195,700602625,177619610,434798980,829807714,651703459,680415371,945931808,444679827,245568533,737310817,96798350,198423492,297448676,785013481,423594203,460398744,169220257,232670425,212057835,640331314,71155197,829977434,146082212,663540970,41530322,965092379,871364842,954677707,86025994,184454184,483913926,61217277,120802877,323790721,746861262,538386074,802896098,50477979,859908790,452493309,432006792,183813844,717833918,937032458,492071352,638524265,162567983,518015488,992163021,476110775,182320197,198041722,467858964,307665964,224214954,479314979,714378843,189926771,356355999,939210931,436985088,988689696,798467438,140424887,723285233,57430619,443918776,413259592,850802215,401109379,401966101,210746460,744051858,468908025,909130898,269361972,524330934,239392636,222601765,594274990,978154143,463937512,902748928,568345797,986269911,759551437,862872179,921014787,391001153,244295444,60054154,57536832,761477879,999950259,861366959,975177410,530573948,903617857,166680933,82458450,415247299,566883257,165801,584193133,610343579,322956872,183953895,866578174,966239445,294854283,431928608,130814367,581324267,630346170,157311480,674185636,536948984,233675564,850191416,887907459,598702181,333865741,145950979,327227660,154980713,750401422,285814142,281660377,240736940,516058103,368535165,287268639,207662910,957106969,363864838,32743033,422766766,907095953,722295275,317800741,415315369,951050076,446422553,316338188,530843702,937367661,306940406,13605024,859731505,79517406,160262395,38966296,248378390,977379237,661750454,62270266,826663391,746922682,715720637,428163407,676925386,349496208,514822916,871328685,579445949,351352009,62870808,935849362,577271074,726479865,875948936,429930801,900077986,687584396,237184088,899405602,553126069,289344494,82372007,672401865,52499822,458191831,631281497,533631641,60903350,280805548,291629434,330719837,291666842,685611336,47720339,215148617,539476427,62866834,73368946,323304464,574095154,272689952,790158135,692139774,112268124,306323259,271301793,526967500,271379567,247999442,4310199,602436379,485283794,321051955,712579788,568946043,352965662,184457963,510721099,112387897,386142754,121268352,993478869,581434590,557215616,889566030,369440148,743045533,830107369,490319283,804840910,6419180,959945396,190614911,444278912,424589218,977907001,854525719,610694612,681362815,368200300,684828514,450942926,514029875,913849655,851306301,673317426,559407571,638727600,385822892,104721048,475832743,405816550,803070000,603927207,635092947,343478431,665162793,756201078,54799913,998138231,743075914,730375930,814393170,728232261,62044653,749501841,415427038,513028142,249417179,407489793,8834419,763455232,575579214,336172053,664149160,552764934,368989298,869381235,245760504,559601798,459411092,128521566,105948064,822503862,28182710,425804549,296216902,783985669,738287529,245216367,205671521,219292492,417375923,88060995,221789467,103643152,97007674,946405,547224805,375118476,106191758,19985374,728029622,798077597,598195072,932201935,741122904,387694757,677287916,195375494,874040994,454154459,32085124,349686963,164908756,814292456,592063801,788139179,537873054,827359417,801913924,597757325,48010650,837545334,819126990,855957844,85007013,572464285,548926678,725367000,116115369,512413926,342314126,968581504,52547535,772240546,383799947,585911059,282867863,700287741,549921260,532655537,138258764,432791725,357752860,940644567,704421017,168261924,605897316,432426039,374132771,610045010,447019469,243162073,975979616,97008845,719608588,353366225,787500224,593440073,47629185,434626138,512744854,251118508,623122670,11094260,169645830,528048638,566621041,381884160,773486573,94360158,82760880,463204505,422480116,167581376,783857268,661271465,909522961,659253075,326023500,371004541,262730988,680953610,432595175,231244248,546215018,84259289,504556555,219654290,195501912,307052632,418356154,329362376,669865795,439812306,860016622,74360913,332152235,807622082,443082613,508234766,528623685,402633623,740506255,852911932,867133523,163157266,736508791,708896062,803882785,272961421,643298792,748868096,319073360,454788453,682479981,957887577,596018191,905769375,434845080,962708802,377896464,63166324,331744668,109860589,779815618,372429780,910941329,945187623,53099201,41645261,579844663,248498587,35411060,771965983,250289077,425512707,931649263,890365559,782715791,10368292,380281668,586461314,880299475,246702094,378895698,441890601,615160867,785072999,167198517,681651389,502261139,30492505,524230436,913121407,772694165,657502740,940222153,698531638,46485602,252280180,324826643,931927926,78078388,70692540,143551684,525801083,954362043,359272479,744807174,641495624,876453513,543179161,153134709,12259712,968845964,597240007,31447396,409096573,944256961,877583951,550958411,722863008,851332097,224362744,252506815,403259766,652995660,435785420,259996738,31630275,243228613,806375772,558952114,972753138,231295310,113272882,604453865,98227579,674278659,813750494,413117764,859130011,3094164,700511972,918203760,254260806,225253062,388047763,603269028,990381164,877610281,509735984,430443935,431244873,590767225,713929682,422487228,491005288,566600838,833917760,247484487,532852586,108413801,796282761,895608902,178139895,332713512,396607835,479071664,737810377,230357708,860724198,374069142,683885075,736271585,742340049,765103134,490733760,107248094,752467299,182445563,283010196,11062589,506855704,590475623,290446001,823104265,751959050,311126747,702020617,681859438,30558111,105667063,927741330,111720908,818645528,134266315,384625240,677050185,189406663,201602163,105957159,986615719,154010121,302506315,307468237,812304523,336152959,601709125,369094842,96879803,830015342,106907980,848035832,295227574,347856849,77376250,561500158,931648827,246873453,291259566,428365077,324972831,285458643,50159839,191645091,143728999,778599734,588716423,443187210,599923028,992771172,349106695,404138926,368557161,688753223,26034686,701430935,862852355,972599532,422698371,192374540,573769308,325972876,813485907,851640889,635276925,502404213,96179126,456985364,551501026,601050839,69426017,667030460,89824047,667102356,120093951,870892374,726981505,108139288,136729659,889892456,244753859,987401415,853379828,974191889,800906583,134679303,421788470,867918010,143563227,964397993,565126020,226026569,62692353,104691804,805197861,173075132,97404202,829426454,50324380,918363521,310504710,509605502,350244463,951401051,376989234,518184902,303172756,495588178,361007044,24635485,294855537,639718699,967944739,976231398,628763772,213951682,67461587,649856532,799086632,716188892,606553555,235114409,867987903,264412700,550362495,510639510,863680262,233822549,388386883,420317888,787391491,928913176,514811533,654051267,413908611,527521048,252867047,861700693,35599428,988081535,756954055,611533857,353887235,564100042,485056490,591079944,7488448,858550074,772857673,241404324,576037379,671266486,261450768,380180467,707952724,44254078,568914479,982957896,274160953,925263072,90424024,562462113,600363674,59281989,149189899,113649739,114946011,887845366,942669589,312934106,541110202,456583701,379685084,160441356,237412712,180052990,991433915,252223453,770942710,953963047,444569309,394568426,56514351,344954175,499818526,147024029,188856377,565284449,433806778,676122119,872126020,483218092,206931404,357612144,239681416,782030071,582677173,782489823,799898864,200420270,191167074,302929200,13508807,536523068,896911056,479245690,299601953,110864590,678443411,728343594,213045007,340473408,298365386,135715419,223447964,282418027,704213012,218754678,811914173,651968236,867149977,78036033,959634982,375879259,681801680,699468176,349579714,283253986,497982948,292378715,380733629,536251555,828774089,41097237,111292987,559373928,70406845,158131274,524111767,31941572,174423976,274804747,151276996,395139115,869010220,151647672,189547143,480510360,867878088,962238125,29103961,658988924,178611180,360128378,444676885,148703598,300236085,957832620,412576911,626520094,797871906,405118863,453891060,488281388,498404409,743210762,459379063,21916561,483794779,233305318,678633939,971440356,984905924,690037836,69224950,351413268,604690700,398599242,106068461,482059240,579282034,807349159,7362140,679296297,901627025,66161952,500198323,582569585,851237895,666396035,871355894,248644389,100185132,283526771,832099900,424143063,230260260,724009961,976142116,274933527,954529713,521582576,595681626,79439440,585208603,394282014,26915106,283855753,387608944,52402357,483491500,518832740,686299637,610949725,91868083,489845622,111425070,516378689,303075289,199102939,12716760,947414396,890441873,491342929,718441104,13613602,268558954,223343842,594275398,275874225,560524867,682620926,304430968,321573489,127376203,95283016,543026665,394584916,978809985,631421061,744216506,975696451,848393873,969476195,430417725,600848444,297716251,871415526,568144481,544544993,130774489,169340200,27784490,94244094,887330586,256467142,793709155,615068257,518484366,195164923,187728695,538328592,386249009,632218824,154085776,696731548,446853727,157284584,59664445,456769260,33467294,8134763,579133049,771838356,999125855,33180418,567762676,415230602,534411830,329789307,323840712,439776468,36135493,924663349,40237295,651759500,186686129,5859494,841522649,486869804,330183205,252128448,219337107,650205142,155080169,449912497,605410196,183023867,266334854,754687107,617556850,503699120,573580158,448547684,167200757,795629199,383040004,165807453,322767276,426624352,309741672,915632670,653962559,309835615,625860991,261881652,685311721,670236104,422976723,970224587,665776583,378479495,283769222,526648452,304356747,95099547,735483291,481510622,225044746,22449856,639091996,324694637,986616893,401462979,794686388,504208634,128313269,234617362,512561470,262606860,699238481,589454310,654586686,711344197,604766517,515605241,913431003,467625107,721522378,854529151,452467351,695810422,92826777,888559728,391763995,679312867,738018492,652047638,494374661,566200043,983753820,748295216,926959528,527881778,662185194,504953369,927031371,679263469,67822409,923337735,770184721,466522329,955269672,448142536,530382572,595726765,646767702,381910356,301590949,788378854,200689880,798988118,604078480,499238874,79103449,74586534,38260451,447934820,964733949,503133409,155259969,431236182,73670836,235958999,300958992,325503025,90694630,47754827,276215982,65496606,14738333,570963709,124708353,599634703,493573360,256037880,939230502,488578050,151313999,880379235,919441769,3910909,970598464,442881139,121056434,446195333,962045360,169610698,676329764,67675944,503986522,258149920,941413137,832453943,181903759,991119510,351916838,253260870,208551606,732327269,218828594,249363392,547597227,557113148,980508161,267275594,916714265,137356924,627119829,137458419,472368566,160199259,759742708,247822677,945952695,327604062,82137680,705136950,755533808,646485035,389527410,946900939,450870082,403031267,317564199,445860142,434063437,447922794,388057478,318665589,641170231,75425619,918536352,248323417,587065077,941526476,618107024,537306087,878909894,514382603,261058736,152633683,565655159,383019115,403529583,319349417,231704298,569401610,483841004,589404682,923000532,747243516,242683865,272718847,334320714,616497255,922421868,662758242,474953226,401788580,176989543,836627602,855800690,412280930,667716402,952230068,501357166,339610696,576477753,220462838,875406870,713634432,38025135,155186518,107005045,447178699,820697383,875844343,995582121,673836818,821133860,390911629,218390267,187598631,509515014,900717977,928611831,868490977,466379996,337163581,843362162,435637787,472794434,283116222,613086290,651054712,701348621,861604014,734512669,282061580,577444592,293503211,468482893,364729149,392662118,623948258,46455521,651182072,991867625,682062868,876781970,273658458,45448422,824761474,643057457,608444358,743625706,386514843,720593676,441037089,152548801,364608114,869691,247386823,286796381,541902242,558160211,898582961,847306280,489382302,714606110,853433458,877617333,988949306,663594240,480214018,713648496,620813608,459155124,742118271,103832884,376061463,4915750,665612771,97207552,417886128,134338274,475428382,73608071,735521452,241663428,462161644,103177277,566354564,451900567,87749221,105981094,702345569,141824179,175115134,931320465,611912525,88789578,165234443,768738451,905989656,111456350,777538523,309730680,308330795,379026751,932578725,910335919,625817232,598606493,71788901,464978102,711022637,534482620,635806559,705584519,823449810,588846434,69565655,274281303,17768884,698588528,190263584,823300283,235142147,378820305,858139810,940065141,486405933,268668095,973646968,146312986,620440452,25709842,256542819,903786187,956748457,433417515,747024625,532157355,886561729,550287627,884423739,468564473,40824135,654600518,30354327,32264664,299463565,420349838,584390039,926058296,483315897,359292871,88737691,820885183,399326998,609104707,281668450,509585438,896475554,46825493,468175916,93146429,75149704,663945520,844992600,747199150,381976042,567887089,790146181,499682098,188354601,368394039,461814082,618525622,208568799,634902128,842504461,631065971,328232174,787092377,762373467,738156109,610773471,847517091,823071944,812936080,985907183,874637884,409199912,6778537,639827695,15414877,490871172,440502471,459501128,703075592,951217217,435403924,680905235,52572693,811611071,384472809,552480571,419707062,864430119,267693063,33125960,23424146,79183057,971115026,67647480,428309109,846555598,889238181,338857109,988031387,726461916,575892930,550148611,156133494,686994614,959336912,265870310,471241316,766481714,738318595,489724425,558965445,406224990,675731134,584984429,532072331,456677628,543944643,207642517,481843579,766686819,62673231,684746266,296614473,987936672,19519947,157030240,305477145,690719276,650432460,999877674,449013119,711616514,738457598,582792279,161408407,921045761,700203709,113771659,912181014,660629709,180668993,34831689,733854275,220090215,379314949,529604791,454984012,380711321,273495668,853109795,458562207,444750756,581879175,151301155,403012540,936429416,859800328,517159323,969294440,748569252,46502979,655932216,400917819,247759804,585079863,885366759,325462567,629681970,537328364,862317211,708162533,873574985,600419684,568432517,816089667,855717697,756100362,382269211,415798304,505172088,678463704,826181259,168654032,283228072,678106381,978914852,230076371,505058053,434198823,492078513,824859141,499215027,557034704,855729777,592654519,963416576,866329149,781467615,198456441,297385850,572084703,578073592,545800232,763320005,728353116,647863503,485365707,565388682,837752668,904290666,291597032,506093193,929407324,412268093,669021757,728326381,369543892,659123072,794111656,550725265,145324131,895969177,666036436,137411881,960174420,489544997,499370634,332541091,446995581,586162909,943801876,612369162,675278068,947459680,730978686,823701539,860368525,624502675,285808357,194205621,263041954,34235256,66196927,300211725,145089385,150906829,381059146,318695029,137424165,784538743,98258913,739126686,986631644,473616305,837142890,779861176,904128869,324858944,765990009,753193367,234404703,2018552,891090340,49318523,719988975,14791816,951676131,599780206,222436151,266653993,641223270,320173432,584031640,444357784,298383769,780372614,342652106,555327977,131851970,175194347,741304901,251582985,342156324,345796243,605906087,352421040,230253366,993235257,1969693,281474188,111016296,824690716,894944977,482038080,636320156,790578990,502396837,523840788,349748619,972128524,701054830,337786421,875171484,822916241,286921120,561846284,613580799,484573305,993610851,872196940,333242067,349937096,849906783,49908089,743533372,658266306,386639072,586011970,842935939,342371414,393986007,575207498,168604948,214304006,907795244,248420370,363625364,827514166,221096498,966836689,971929622,418585743,706739447,425853724,900128790,900733193,30543942,734187883,394415880,544856894,569566671,103290435,70580858,59711808,710032977,249851645,337334402,461705316,92329528,366911765,334796049,567192930,791923255,720232864,343679461,262185886,554970574,254142664,913079752,814761387,888735188,520983618,455389107,431755676,798174929,259893423,64405313,7243084,925615955,842598743,902785203,846361742,122749378,180632462,708810233,812366622,233173292,131033349,112196428,304306776,645307287,570759260,60834827,116662236,899219934,757525569,766719924,588649303,570844993,51002503,604170753,591132281,378547274,146049476,183819447,913955497,550078327,559529384,24905873,647073766,198415512,719343295,508295435,400409892,760265724,94184038,539214553,991847031,485747217,399102641,664971753,991477592,108275119,561147043,562040342,621779645,785938050,739144722,615225248,994805428,394487930,894037259,923682240,43004805,369479471,919077148,639980054,626703243,454692327,976087245,707307036,400626082,124955200,851810788,669003450,810519571,883995293,213845740,236095867,179602456,855296527,455118220,510528471,35108972,843937697,329008005,971054715,737705562,348582493,693737258,603275003,902089194,103543926,777539873,153241748,956580036,761807478,539430966,480418983,65363229,460487854,40743548,454671158,972206433,908974449,322315503,110268610,686926985,177133879,335037877,161075744,474092329,754030143,801772724,817148787,674611573,758240652,461913824,821388309,787212142,118920323,698116007,704100039,136795407,366183003,985541015,497120673,343162110,58858634,328193124,59333140,505457807,370925360,887102724,590207630,995904364,978227184,128533219,361116492,927416478,287046958,334598404,826567560,766380956,387399293,610040213,67889025,500279753,221039914,761947924,290590030,357294274,762258931,463085570,104944345,53891189,816753000,652028847,76693454,807361377,774642291,386368608,429808163,305491914,612238657,860079063,157182675,766764369,164551872,798878302,7676265,427862487,418784890,696961656,986449456,628464644,606692017,863966009,213796025,350494043,754629315,457740603,465408182,155366244,434162926,166266940,544697861,455817159,745621596,116214986,407037763,37510297,659103718,947206768,380146779,178441882,588810473,910702477,742100513,506398900,78948914,148915085,586726661,94511150,89416212,669066166,176452143,814622632,610142321,143581589,806938583,106132945,575441670,810768819,940699304,279715288,210603555,655719558,623234413,531189354,679465713,962245112,117956501,42536699,10175078,441359588,260534326,73271918,9934085,726983284,493505781,694158561,39742021,404208445,778428736,197940120,568628378,127094494,117983659,159874068,796861743,186406357,463133716,413252565,65007814,676083694,356659794,551966221,15387105,567542672,477316217,520316086,964023870,331846008,960616796,994028705,656053807,143840958,710032805,859406265,266078336,87538504,713379627,851373517,12465574,578822303,534153334,743297876,678474482,574120829,351800460,306688009,840029909,325463859,795813923,766224438,453029252,784640243,102097305,667580443,964021748,703999087,846300429,800326353,450701585,234612325,138453683,528583114,410123543,435580382,20901999,167906042,282080030,474304373,247547544,115326016,26372501,651823049,414152575,808294514,839236603,51990413,947148583,268282871,172462538,715353239,87015120,623803143,398092712,768985006,63174591,598850834,920479944,390740505,476732193,168503448,76253371,434259097,308079295,380666113,671126536,120376766,778453294,758731887,719045564,802583270,171667173,91649316,112540254,921161700,419910330,965984748,703849834,402194578,319564218,833790073,862772637,13973749,295506953,560192226,241845300,459016554,284424176,495322860,908548077,453250224,549830587,101519816,316306680,4297274,477591933,929962688,687356969,704176315,570802613,192540473,876244597,2352570,161476919,849719649,326532826,914425547,304260255,705752182,191928536,818243490,48026838,751112307,727240325,14192232,305402925,698844691,499796875,761261339,92939287,322481627,393009167,554761352,363499340,938467278,213523609,408615979,969704197,999792740,871268387,960925764,965551046,744832839,489557826,597085985,474378523,880102871,909535741,599457438,692812284,346285099,623217380,501353328,56899865,636911947,738219084,70134573,527461049,106559068,810111463,208249045,924396426,561698898,684186001,462551659,626727259,601653983,961752476,194549712,404788333,383369236,741701702,123955592,179934961,273323873,262253410,370068399,589383282,118500823,225341612,114207638,324748608,353578569,400723274,485376116,155237963,416915063,801437726,926540916,873433287,980821313,32012835,409561044,126219618,130251090,231497075,775502207,48683846,676215637,20165694,109965397,983224952,930484600,736322146,908251788,933599195,357570996,193187040,981127519,279774120,24542801,418039497,599573216,281940477,445646172,288693840,98193540,599139456,37471004,644669251,807518813,63138917,582451650,767067766,783088986,33248852,244162103,774330124,995667619,578111063,345500715,184658013,566535159,999106421,746817361,289654502,950468044,439475067,746402749,298074927,590414146,190468335,541570670,847385340,590407191,670118320,434966136,430797375,764314557,569495540,139367547,116201815,626245134,309618198,130055973,100416415,573457213,678091931,244142167,324520935,755759385,641620088,548111354,789034994,288527047,695926502,739586343,820328226,933287844,20797880,335199579,380319210,435632491,944033827,564667116,460531104,44054348,527896444,7651123,65919309,813049872,516541406,741169518,387004322,565924865,680072669,399151257,716301105,166297630,954483141,755689683,880992351,830736318,582944143,830408622,349102087,938381719,305397575,579727518,75458779,601566722,969806471,468843697,959576032,362248172,937378584,7807180,732124825,729049850,220189016,559158857,139651929,1463412,63171720,285623426,604091081,56228109,916158069,315683725,431421794,381203992,695736713,423822025,179242122,814611460,32896558,509381281,485614243,834665169,404153196,117447196,280830851,84815114,155386312,1329059,367109128,866577119,136010953,843735615,649702963,636104388,790151515,513602221,39418187,907639117,943447839,931904679,459274839,597337805,362097618,525459536,95379158,312513417,321117234,767943294,253133714,667804728,700176654,324244555,70142379,228916152,887835813,895075926,482060838,398579272,991435210,637972955,546930296,92598921,367636733,899317402,139931578,191792528,622050078,472161889,12990656,782876033,867037140,64108588,788425697,284655044,339114067,973071478,841539100,363056050,70597670,359364937,494640469,546357925,579039900,240903677,93629298,640438653,441368826,901699704,600858681,808182921,556126971,823332898,407742352,495276847,336011469,814144096,489300362,994186836,123258915,754640406,673725403,536401347,392476048,492359725,842458229,428737161,403418619,134564446,747843565,774234013,905143115,509512978,27540945,402786805,699152761,189284580,280401553,613188750,746867896,751684378,588480054,199861508,256800902,595750656,749939986,35376617,309394126,299074763,112880695,120490986,21072336,679537329,950081033,379636076,187372636,412874225,637481275,717934761,322908379,531009794,241289814,621709486,624372339,571733658,482766056,310218859,23866849,76783484,324268685,644079303,354946735,678367543,559769159,978098509,658309176,736161886,399717784,370905484,166566210,858575674,148885655,737161300,902104899,61635611,917081504,436469173,585869534,719837919,549464893,829727570,995533162,541997907,262144445,547275155,886195719,957193337,293479774,479676865,696098435,959507792,848520788,440126476,24473989,120738889,944157022,285504747,377028055,194837927,198891834,872631411,827040694,14375858,942532076,659457233,224378233,499869537,177114504,978257617,401684550,429446992,169546692,269008166,70767055,470591578,900298047,135460987,896423477,284015191,273262409,517269787,908210616,940902190,881078390,85810042,152864765,314285346,535486758,733577043,911357131,358407621,470238691,624161928,867739423,701486904,660337017,418806455,567425082,529003838,380512038,693293983,925608375,512643488,777674221,950965174,872827677,243168775,170114437,734220766,234947022,260363344,186253978,282406891,138494753,811380047,341470523,344712208,575150361,882071547,696314909,960055551,954436743,614902137,770152008,906808679,376065057,477866428,164279933,339858387,27691811,90944574,581132438,304106063,468235382,240100618,769105562,981533962,447615421,88733927,672034535,116989791,971859441,808556584,53640331,574280584,755610974,840111086,200862065,678605080,265399357,938896489,125408770,667150480,531751640,135611975,865790609,484354978,969106335,762215342,257085675,11285334,997304190,576683819,345234604,615205268,413720835,808213612,254999251,521958774,568185130,92450161,896903685,372989939,314453410,128946272,682811172,927013764,535038161,743948205,315857009,23522915,495408157,382101413,229315293,667522338,431301704,907099926,750818505,907662608,563437251,606436150,106906060,268092662,513804138,193586474,868146365,680632439,606411606,394903405,29973001,332338915,841426986,141387984,285691568,811860049,806602229,578777525,95815635,161227109,781428350,854231576,23801469,864543917,660887189,451422782,447030518,910119326,917932506,475366017,935026767,913608001,914595264,449377033,335530279,341705115,780979229,350318685,607278383,698400202,183352745,146902547,209548942,610663784,79801766,538978216,653239336,107219187,545020881,224076956,695982056,87742618,94365928,634077828,320742547,550941190,469387268,434859837,940940804,678957866,292955728,329439289,94333042,278345457,858243016,74726194,707721520,460110807,217500722,697201353,795924739,135379576,792132830,53506081,706117293,751706013,13821647,268379239,773264196,572233715,345962374,716098664,72810058,115219508,179713996,690826061,126084203,382374368,882749945,37956358,564365236,614338288,613764357,870679107,12376425,168434382,794883417,488056334,862867100,483242104,798763634,721936784,652827822,511234568,991313962,79140652,163227445,689075505,917194787,117585392,375780557,420134621,995608505,798731199,680162805,614884880,350354175,181150062,163607923,917382585,176456828,89327578,521373805,549586811,216272104,135100940,947323154,867350206,41188893,573046386,946791505,737285722,851727591,689375699,534315589,611844035,446036068,452111465,521643701,65655139,182732508,608619692,884164679,897328400,939740721,640284550,129663799,346629938,161006562,123514654,73507542,249804843,579365570,509414053,479731659,382623671,549406959,690637795,936974505,518249911,702440353,241327875,94487395,659213063,364141193,243045103,578343799,90598353,693862614,983711303,879863798,390540956,776748405,674755168,874775359,22358214,383571817,834573462,202108645,81895939,415855937,761978991,357768787,332015400,133849785,785665519,915741652,675535506,679326274,643261894,799176595,358801654,254640771,283314552,138850237,471569068,366538759,985425824,768587513,610910698,199488999,353683990,333592392,290093053,347299647,469809681,289830084,162542430,722732867,628682119,775480858,349673218,737763604,831456733,120341430,215910959,437991797,485179003,189904315,993488642,36042255,812412062,687118595,8529421,768249810,93681710,450102893,220249566,561932576,169299630,947933781,335971708,580505579,550004833,888462212,359737857,64376312,469536041,384547572,107557034,42644741,297017776,413152195,78478474,952214320,477744252,813747780,132255987,161829348,51395914,901969386,192423700,735070215,314285496,698468829,465062496,861228192,338475080,855228061,7736550,934883368,508063109,58713890,191762703,874026144,670369127,949152258,100652616,70548221,310182480,157702151,999901689,548105805,859470440,579517283,358825649,405116740,626337972,757382508,144011680,165795269,802556541,340161889,348015914,682784533,828490878,428968986,418113468,637393553,725411757,13548659,362002690,429139847,348425250,636322451,582945143,897321660,529631104,336098411,496137528,164900465,423320754,477961501,44668908,907418977,728521159,770626710,920403638,464417063,508792848,949424450,99488635,512629612,240454553,138726665,226789679,800938679,488849372,842984090,44553005,810902200,732552831,418376353,436075160,551854637,503048867,781633304,993667788,780584657,784130396,971831539,35883327,838669367,951033573,425174345,203787818,272580377,835152899,659034237,36823633,641793367,632956764,823884054,746580290,998096688,911347749,180845138,200892512,698676843,260582752,781079496,590866381,847850621,196339713,235713193,757107442,37552046,167733476,611061364,994160845,114415537,84032915,510959365,280434308,708916667,161522109,626460847,85718917,488828165,808300872,689398226,410369573,533763623,170665233,189016958,729258720,601032042,750293129,61096412,917156571,605066142,85245862,319848822,321989965,398103189,162872728,809066465,757736168,747591753,389342377,731672491,578597716,822517095,549043907,921753308,443769688,974365820,390535126,926832445,120005023,198612333,525325127,21124145,345706697,9949073,402937373,766685574,388561793,205766771,447559887,713710589,84994391,228434413,253076567,791207126,552949391,470286388,239810609,195885326,197262441,360996238,803692993,309023825,693184435,514528489,827644232,521273537,157062220,296252043,822305091,93250131,403128828,68675526,769506427,430238302,794917917,865151044,953878432,829424565,806377546,587299019,966406670,825700067,264091256,669930195,398745721,953747710,157996010,636403663,838793796,413445528,687120921,347176692,792674522,497887644,556105482,693861498,513225677,528589901,860579475,818839821,487675286,641146471,158289303,299790514,393753590,360355601,466599199,189591000,535342059,257048285,159358611,303460437,367009393,107551280,421802038,297118767,152328438,256688902,914518734,293475987,869694362,925004238,766442796,965016738,848633193,81050153,300223426,723891521,322205414,30423389,758738292,736517899,452398732,928965970,858472706,196618652,247368082,503402430,698541649,531774140,938504533,258381977,587161825,651529965,206866593,276307788,870862953,601650796,568705991,959896655,982318309,751186916,20394769,552104856,49397896,681478899,115561957,351365976,30071065,139587736,715132944,59899336,350346619,629660394,680783567,214138596,788304478,633150380,469816614,457406363,625545515,903216180,665051278,642997589,963713795,855939978,74276671,533230858,178066839,873459340,561979550,13331900,634708693,407080402,323626175,109595601,188416641,624172863,663529773,357165096,538752918,784784445,594702965,408656949,176619623,655379714,453094052,547583652,185417500,726595904,543910805,852072328,968804941,643541495,923068653,452598273,829456043,428641607,850563715,597047854,482823291,1986615,101204923,378072579,634574291,637365552,847106000,493365606,631533530,111286574,892647978,238382878,820756891,501273955,247702653,382115093,420056588,327563650,774521635,515066110,226885318,194380511,984328133,101462064,60518522,246131197,507711586,244974205,777347035,338072534,242046448,79045400,318533274,156356531,261624662,259403816,661948138,713106738,341719040,224307127,207270668,157940434,281630398,754900757,188795228,769040774,25210163,1866727,419429022,730155411,85808304,403759992,556554461,363182733,694802732,127461591,405909971,220415838,643861437,643684255,49551252,955604605,589191119,877864876,841940222,331290771,339286015,547248592,680542299,576764655,337413066,407647185,691349584,643035896,439645541,396047842,549822685,60081770,4885345,50686509,179634422,454774638,35230731,11058983,857288037,690275019,335615786,712340163,436006593,786515029,639614649,397311159,972303772,955031943,442870665,827744871,7385499,730258113,654128782,318070324,770494456,769241501,256060216,981842064,698911814,625627534,760379056,500499598,967728579,875587635,484546148,389717277,807986249,61768244,937259428,595592663,608010707,572194041,606739403,100542012,52159143,842341025,638608345,313796167,470528491,424848364,461290502,570020439,626638211,540488914,350767983,637427765,626931714,55361867,905746813,485376282,224138883,131484680,650338724,881099674,26557555,756219949,333921261,854779915,652001474,255775201,861991627,809320052,203069067,716077623,905649538,64678528,959847429,826314670,449237136,120389110,192995523,57281810,204247889,774800231,473626491,940608,224857472,13348333,731593203,772223976,291449826,119440279,633537740,309441463,245992735,388501055,294202968,735861114,874938575,742759489,817000849,454395691,83264021,197552580,553167034,427793695,73394659,351279521,573711696,183277880,625796567,682528352,316545931,76174860,428676574,188341959,595079274,464627925,528659317,364936675,735352767,326908931,588436185,901951792,855485568,319534836,977956492,859048557,420977603,53582065,756846398,279916768,381674156,381413761,415864789,936478592,104412598,309355501,357919716,40964196,21584807,601728699,745147675,204856002,92635426,761962462,1942547,820774103,14861187,269583266,164156948,724729398,373786991,326181959,816273998,549198235,38279490,870364591,299709420,549500468,834220798,349876246,91445236,518195064,13434468,337562150,41805838,126527149,51050452,964491228,575567480,134262383,310993420,317131613,848908283,223914060,240451185,498214996,317790406,866305505,908477731,652923035,248051645,703255713,507823328,537735965,890737910,103279416,328446033,985433585,632440012,519269640,478605651,942314833,806787724,709677464,784521440,502252073,727135012,687648214,442299062,615531491,989502491,390163500,425447090,287631688,432235208,735938202,696264953,636590969,249569588,286774297,760009888,436827026,723194067,480007887,681399783,202740575,899688664,556058674,891898584,748123783,405465272,407741421,466621124,172309120,774403291,961944585,592405473,467298547,853383847,941978152,893300255,620687369,30839037,352770182,323976612,520835469,706003761,574409077,169133868,945874789,434698843,405803923,521639085,73707186,99240304,967522279,825059784,222954018,196779355,184824774,99522019,326451190,293519204,671855378,28764564,153668719,654665941,381945801,116621366,183713898,664863552,107002452,667375954,417029343,697735377,216936739,591451202,869520514,645231415,258130042,925293341,381249108,740694206,206869671,545012688,299161892,617746985,480850909,463773429,205654231,496659825,984231702,822439359,838260886,76822065,866733944,314972206,448823460,351830395,881465901,756325779,965114158,335362984,29834908,466593162,59164478,183879299,238863544,41605134,813603804,878653717,610770413,184228362,216341402,375448108,636458846,770577601,644626290,404446022,101018315,552553220,30105501,17394695,462532140,651548338,510483511,421638119,662435694,42502735,756582540,257586193,1120856,299442172,846095275,884920547,52191460,815226793,86101301,22703951,806685882,860505256,400668135,190554048,355990246,238986754,731767318,183358634,420481201,272673260,647645097,215410417,797356287,651070455,244978850,714449227,182150862,714744241,837805117,453238590,952955294,415591901,67705919,567062673,614226777,28324755,391773113,358402249,199528943,621010078,204821371,158010766,995981778,824814812,573821004,987384412,697117950,21810646,157263348,602181950,42212843,780492129,677076333,567631483,951928214,678632466,745187481,944049415,722570609,31692486,748365174,70597322,360698118,999477667,999623181,765129745,81984627,799846627,6052048,468346676,413093862,438955516,935250007,854924495,196020289,345402354,559528841,646906903,897692032,166948615,255819755,124726623,898212259,625751524,954171620,923731864,348854930,245872142,235150186,161440713,744723326,683903602,447172834,268223520,476030877,604620590,324388620,78732012,941526750,7493642,170215645,549190057,618558139,790407029,825905118,139316406,21430402,955531943,193384917,247030879,815397728,439635568,422197954,348005127,185400353,696873564,518322974,902133451,116211698,349127787,340508421,915965026,487662374,884233003,823298880,17512240,84406226,890615591,865267167,604283314,254801352,805296851,298910890,911728361,918359488,418680928,596406212,241470439,571501938,269776317,859794168,817962378,482400590,870646933,725326923,64827121,837655454,74307807,494278614,453054338,307221158,807983520,979804374,958278003,712582424,77659347,202008235,360233855,902976981,443300704,32601444,683298649,277301826,400389898,647484184,316379672,105884113,849961529,794697910,996518209,181467390,905116426,635563891,124493246,223739341,778040499,589924308,88203762,861723630,139852258,799117365,593646089,286390349,668617052,641880867,852910779,704487390,410436273,170828481,300519316,164830587,550310190,785571164,515854907,169529477,94657699,626232561,616493450,662799039,535079643,479967197,282492320,591402845,295153195,356681586,355540432,459626601,133188119,396482749,178283259,552832654,449983996,217460395,746851968,257124923,495687830,405330539,943979909,569314072,348741175,445790424,426425461,812415823,373113859,648625232,323649560,717971412,508128002,684143970,684894619,943251705,353026981,934003226,963917732,845494080,187195396,67510256,749102773,983731203,793982308,565363347,661434929,285118853,530731415,595942855,566621540,207724688,63778788,368453951,666504136,402971260,261100035,982027923,142821207,730819813,802334156,239515079,654215244,488790154,872739367,848804878,214573678,420060371,370133908,636281155,707747597,350758953,629642806,490543288,870981091,993781203,678003313,213295192,386317842,764992044,99068162,911615970,56288790,723673829,118175837,66203249,872679598,221827199,705666830,759131658,461146682,535628211,177757143,614537836,206340788,914621301,251295314,65201599,595527269,948960412,258392481,420867790,141651288,884833983,25376583,641429607,447336962,226608234,672745827,299559484,365884605,437242125,863893737,437601286,154345172,681864582,41077535,493008373,331338726,533888521,359072508,66647170,697300059,780522963,410854724,535420603,403088422,452040112,238050015,563056444,84422239,312439908,659293756,474660926,731297508,296456749,601753030,38097459,75449987,89081386,309459657,793655534,834882344,770027384,993982708,731462191,542155109,955301608,100736504,725832879,811787170,708506823,82290325,516609376,167515743,795620762,892909073,460790121,930327207,929740875,586030266,569297038,728696756,786978436,386346956,935499785,119598238,546795687,388091327,468041255,305051712,201926418,258335880,791379428,937858705,119576645,850751491,170073556,87811692,853232848,859171186,950999820,988599284,916675203,107047129,373167657,715060300,874895022,546471259,251447810,773293686,740245499,294668424,189622522,777450492,565953524,93868385,398804669,253188147,222557214,649358746,908108667,912255850,615921829,201474062,192987479,362394321,58441155,88223718,874483960,628014592,962289441,163385815,708857398,809191891,866445040,397903745,983473644,402241624,828792145,486596400,559587476,118370443,348603309,966883568,18832078,882909634,299623094,201001266,549855166,446064608,927454286,721649964,263384516,489301635,490149406,407361119,294828795,805228392,357399330,865570098,615893508,402982092,237427321,427169299,629400991,158704132,668050172,334475571,33044653,338937952,993744503,130325132,814317635,610759951,264649186,748838775,223878670,392482284,635614465,737961407,529358376,40569051,687273491,104821368,970442312,511678973,687201125,647451501,81545610,577143112,21352551,289136454,932192977,862009622,513073827,324994475,997768798,384931040,612362579,935970488,969580199,564009628,449684679,508115807,995217219,137926574,875838,746776608,845361793,264431007,65771898,111094216,376216731,887107839,348982427,643239556,558353955,914246203,364842510,231662968,614826001,334097430,249464628,435587383,703981914,249150630,673502830,450434060,75242863,431832606,779735110,66525468,418286519,687317763,529225040,816243581,960509130,499660210,33841660,991925104,889416294,533442087,663175676,718665176,708847948,614539213,234965634,112852141,351482105,832271554,544950470,959164750,164797156,466443387,64837782,530635696,881416619,881953601,298341641,710538,210957201,542877794,728265041,192582118,405769326,782441828,680232586,137265680,234058360,269340739,378189525,50760879,940926474,811087380,352693930,365609301,633493528,581002602,54807765,509955028,9717398,521024770,71555321,308381735,452347982,807264948,743143340,624227361,905902175,307338869,266317631,269951747,187089974,165207846,345022355,429425690,312036865,435928981,502335405,283890247,287137777,57517898,599517561,375655146,863017980,476518045,242146776,968092120,547030188,944465553,131255512,24416377,254044389,27746910,666994139,897738149,372079735,477768531,607598911,756223245,577641394,476449419,292125690,995512346,478436449,732357130,181795980,822786917,721908181,11638156,57110056,92301093,849998922,987470243,761282106,781743430,83240174,372913455,500034957,829088729,81412915,676930845,190676278,90268180,272121322,386362265,573545795,672064573,346582784,648847965,833543399,895147244,697062775,745934085,211258423,87874342,198966368,485916659,837616954,802264239,817153251,20066946,674628906,457594135,476108039,790843552,221717758,93183170,515191374,641067873,977920322,861993442,39954598,90302687,92950441,22716925,896355875,286603447,222348982,452913621,786497472,663687048,661058210,352169058,927399381,883684554,536411055,314569678,264898228,997748824,566238113,400382602,822568438,787125147,422038355,113326691,718140328,268292764,783032651,517884825,35479189,944057781,63163324,150928674,223537025,915418679,478282252,812868516,179652820,156745736,842559433,890400142,835460258,102642454,336437874,374840362,241590919,138497942,871296897,494769491,969111084,331841604,331281274,479256783,359044995,123894304,728943460,21169780,416441296,310762961,266626659,578540207,792745873,283886915,709856079,355357976,884750802,292463515,318123905,610712921,493840386,333691994,671148244,146589535,869892464,191850076,579549964,43475329,432200920,24292317,558339244,731656332,994386812,599595585,73153628,23808289,193257072,463418980,950658287,843689224,55726030,189286443,104900285,321100852,416779643,420983660,432560635,424511022,102631877,142954956,622379660,477373132,83126060,619590981,310435279,329029244,545463241,263895751,745227508,548394391,273287013,211182312,523893355,342134792,60323578,787960930,957963285,415894351,480474271,39937509,575189254,669374958,968094784,547552992,858847361,667452881,281871376,163826094,510884493,954650183,947669366,50296031,620295390,676469969,491971703,799707091,577189390,533890926,289047434,160130012,135880570,47611469,205903845,374156995,175352630,786663697,811184709,669071438,120812354,592516269,464179584,496219092,819482897,149826,834561728,360348495,415898783,874589754,272300199,577836254,733936039,185619139,258588542,336550260,330050257,993850159,895112162,122655187,638121265,446489750,217034251,14000894,471375648,264013044,633207826,475102954,731243149,538400443,674447007,519714318,132424151,451262994,581274178,132132220,868504934,773056353,292831174,109554198,218795782,133977113,764110893,437633544,753765546,960749520,492705857,475089306,125296608,874795965,910174584,433585047,683077291,793491455,480475855,838906714,315895210,587750029,624683692,458105748,368045077,631559501,55626372,119613622,518392998,107077433,580050306,157010649,452346915,290972855,797180856,642803651,78861598,410299541,676339401,609428236,529899442,107930697,896460612,643692798,685310721,78143919,305661872,567281944,355533221,601633797,731257558,904482032,621752597,281613384,975054439,595804854,133558746,662307231,408399836,335443417,292310620,790240786,923007248,963960720,143459535,373738661,770154283,681835186,685061352,905923434,364877070,557307237,64918172,928395802,417383317,597488685,501882731,191843314,669660295,694188187,488382343,958488595,570151466,627306890,843506122,652692384,951788617,227108822,270705232,116927678,214282671,660713160,737415375,649443440,105518385,887892388,121290394,744091652,202059305,629066638,15248679,80635262,10129406,471937663,675663164,941214445,568850960,391948828,974991748,388887006,591474058,868642298,760461398,612635114,410281975,468319238,242571514,293037455,901659583,177673801,157032141,570494763,951081458,791488299,607269806,196521820,13028193,786192772,666243968,669056077,134871770,357027376,270541314,706978469,191091842,394562,642474268,433505198,700652574,15354129,698273743,762674082,90624117,562501204,494702268,654764373,930310624,688592943,468379023,436049988,939204784,6530753,514825246,487790274,198797955,553933198,528620934,773430805,837755737,391007660,632532295,761891675,150092795,381368940,318991230,171025072,845562953,730725629,484730114,603293301,315529891,563655244,759901611,874116945,57938538,114771320,765461586,626932627,710921135,644784826,86042666,137278669,83361654,995964643,926456340,909280831,928452094,154656350,21134999,438211404,704898417,877415759,127540641,250620110,804887431,287654435,770356823,135561708,970622941,715418108,436001010,404439384,285331260,763985492,358583576,81914602,810188066,850445794,971868069,807230530,463848052,864504373,562647675,663400509,185958221,729360437,367263221,683916250,965886033,482807872,831468009,277306046,798406773,923997682,901009575,129268485,842744251,854262137,397322924,572531462,553275116,178952502,425000487,30656773,716222745,782806760,223738316,307156465,546301665,34747332,983207427,446760138,19063006,251226809,339004060,578091948,738293391,188562820,218720029,493013997,236525971,471837947,896092249,541262630,657866345,412641154,877499764,676687754,20946553,725506496,179760451,677960508,767526241,272464941,723208292,418785985,645692978,772527166,64512562,701943177,735147988,464201129,672096903,523978270,302739430,702352268,956226739,853744807,601800954,429775483,302195939,403098076,946103790,647765396,958815717,724798259,313844636,334318383,360680037,2061090,798117832,300817477,353877021,871744128,988669104,792651874,86512063,379759269,774950713,323678935,430910761,254592656,317173052,927947213,712193956,291985166,338105252,71800003,50341887,716403861,670889109,987200169,684733263,741264568,751010811,454250587,137178579,624078895,438595107,759615112,754699154,431710698,576281792,750443356,41483759,270981464,319460153,826811633,273976076,83341164,854777148,436448978,575354680,974115490,569844915,766294145,378962412,361616819,440680357,64187451,337382004,833062494,441846476,157484985,552415012,515661682,626058226,693849619,374053100,640756661,139050982,257178186,274742761,562122980,805007554,487931242,958571550,628889036,718537940,980204217,418184612,40399852,416859409,157870920,765425759,551526252,617064916,995107430,286895937,457565676,657249525,491344066,649811719,821511820,416599311,669512085,554766925,956593690,983458172,90990257,333150211,64283379,24469475,433292533,778359767,899080160,905192624,817510956,401406437,529411953,214099599,166660819,265658323,26813526,977312081,70889095,235613772,813073025,5618071,228643598,833240330,607812331,164983524,214399518,928440313,868067104,315385065,554387895,157948515,606775793,760770743,769162754,877587914,7774152,7435486,662408372,348924930,258591288,975976107,47897164,210586480,232349428,845800257,432247724,933767689,154733781,480545675,679863681,656975482,499633189,984350878,228601524,29922699,637836072,770639004,381478937,92169866,807321359,867416585,701645679,240185285,562359027,370303786,176836115,300201500,59522069,111006542,944176246,691163989,412196690,754263748,443437086,961809391,947745991,427954887,749270821,704944212,597971956,884659575,389240365,704854353,928655728,690567056,272675145,552333625,197195349,251867375,443389522,698191959,305568431,576399440,261128024,728895785,823396379,509847676,976331384,963180665,48525314,309623821,923180047,77199751,582866991,710144196,50500759,52743915,982099393,195620625,405815325,868401873,336709152,709687310,665566146,301508781,579356845,555495768,898419305,856607270,458608773,475966907,303602865,860265298,648514527,246234031,838773220,223639309,18549294,947052788,643107995,312196267,825188550,164820723,270995346,820904731,723942066,808953407,599764702,626516253,318850163,506742940,180558837,983897664,264391,682261908,528161276,553996973,672358721,859184329,671139888,132256043,418878605,180884989,255762396,108799393,216622377,639362489,320679022,620301200,817862365,73539363,309126805,267246959,228729277,56015486,735242545,937683125,514479349,978730922,426539184,238391222,568436311,626427868,685853562,738031463,983684284,89130836,728076735,516368709,120827997,548325659,324866115,522712735,62470303,537559197,557300356,934414758,387716446,759645631,770673358,303655540,75097143,265709865,159903686,392966307,829498418,745647466,749254045,646495089,763707743,164367566,680657696,412854443,564543987,90637367,476159695,376359552,656116363,228436955,308256470,502213541,381142232,214743447,924201669,78770513,35192569,587451154,129014820,239733475,85276129,329932595,282263208,499168227,230673733,768055604,695690661,630475731,220345679,520850288,355730165,822751393,119315243,637584096,804635523,125723704,993338767,534706595,626227568,129394665,933096485,675614175,528012254,528829764,440356699,861620640,800570790,474536658,572553330,456018997,770426851,257097265,120855013,613808747,186425409,193379232,777107268,87760798,172447934,632791583,794504621,775507241,568513299,85889541,94645910,381612925,339421605,788197974,87242643,749224336,702341321,932525404,692065248,905364761,469232743,901631336,157028677,654336264,754060682,31378041,433981990,134806524,450429820,332507924,965868757,704973519,578736630,121175574,217441261,357802894,416718303,651287470,271826232,361013289,515375746,550840777,575142297,79452488,194833805,378537188,478810809,393993587,352460233,294921782,235215229,853171295,241866480,831768803,172136107,33457120,474905737,129031101,567950290,153504067,338823888,319798907,170467449,19961707,628457446,188999691,72299454,511911967,741613504,920446432,305785003,754075144,88848820,68653229,850025767,447973432,509195717,384195112,350775823,400191910,189368300,738340611,29238337,120990980,739495296,783067611,506751270,789944625,499363333,774686812,568852585,207383033,146185968,678750209,84831626,560681006,66076541,499746387,588246736,166190490,277755270,363383669,699064161,662034583,578325095,812931644,739647188,164794106,443969266,215550455,981166585,330453478,724789723,615488304,453463376,2070371,932412374,59326196,830444363,447671647,88240155,382165641,123782909,793603213,394214310,809516842,746342753,365953881,715766783,980297287,945668379,802367388,620607905,874994999,334489774,679090361,526259593,238380034,631112746,818755364,817148816,485987029,211499843,63848296,828794563,155693687,655730978,156583225,30968629,69539646,541665059,331063865,820811078,865160957,787270456,333354266,253557198,190838252,725001830,240579638,258011269,964012313,702574204,378989479,189374945,145372992,131641654,841867535,658488353,779330400,544694757,114583305,866204967,827068725,100770317,710033869,768708024,701958239,746547016,323144478,882972776,414994744,514812430,731318627,40617318,74997752,850396485,782670477,405241392,524078426,526938691,617624754,797753001,408285259,764596161,598974966,205542371,276590592,125503640,143306851,727055448,389701112,713180217,48576593,91709946,56250850,944810540,242415272,919659701,822059745,743090178,762423598,380285506,523838421,853246105,340517917,740144783,37582462,9229653,817668189,516410136,525423270,652885243,365469500,108282810,50796708,772605448,477267927,304509581,472399243,390492548,734730768,834399943,400571697,795142052,807807303,797922871,260619428,454133868,145035139,356117145,847036660,853778140,303013438,611694832,652947404,552372237,135955387,294188084,696199456,211608499,166693975,720450779,607763608,283202868,951750590,613964580,207703526,388212826,348259036,890213780,246383242,757050714,830807191,740006335,613084832,794458747,818208460,447915125,473442687,384057193,910066830,998487408,69560391,56847170,643190245,747077656,332447026,94075813,561271042,765222756,330595912,241283819,750696172,833877887,341347216,589373837,447747922,466719938,286501838,415157405,654323175,339406409,694699051,740171585,340701794,341947345,500777718,267610730,919930709,436667296,24737943,167094743,640102068,246259531,573000117,315299327,536261878,813573916,65177949,950279972,820455868,11599820,435261814,716812237,956836295,323568640,241366397,963495805,127701176,762541479,615028171,752788501,823037906,535372959,385635106,941936765,318492717,906391237,785422647,518134527,787851504,409102412,39661327,893090327,493629644,393201140,618250836,674692266,388949077,357859741,673349140,130821281,552431869,682941580,776818990,830456594,571540892,557365895,271083551,569902777,295687509,421540897,412008793,838523779,390644604,326196112,922133105,768081750,891832047,479048029,663935615,227745053,220025048,269045687,353428895,631663339,114347252,916950203,264040959,30253368,346399737,548830616,496868496,552711987,116460721,418887541,344223934,153831484,710695126,71384069,180529339,461483144,940538449,973861150,255801366,59765487,864272275,740423831,42050439,951967505,504112793,47731860,176674232,991339871,266543875,339820313,731818878,594834983,4232530,542317995,359657200,898200644,636109328,968503921,875234670,192146770,442374890,648519369,755991595,293296620,895802621,224497175,917251986,82018717,793558114,178713476,578505896,944636983,72635932,558066699,691552885,114797461,206504307,469539168,541946627,173464713,432691088,706226817,142594280,415117581,804383853,277002786,496767343,49241848,738120105,660826332,489747157,619556203,693661936,982104718,301246684,67291404,145435718,347119917,75356399,826771875,736754953,909241257,482099288,302243390,514153785,930001605,452239107,740712008,696123907,688364320,622207635,224353619,185647226,320094234,871637084,836218802,592431428,976226949,254769093,840691108,939013398,757170812,49920838,461621542,473655048,946427983,945983065,190769907,501401760,798174723,601062662,718030365,197453090,121162742,737954930,8834615,66246298,960354104,669008526,277585720,84372118,268150528,736902085,627948284,949265932,692552235,443631945,426175261,406093711,227739831,569276031,603168124,847264773,46771623,440960572,146935725,47566620,974152036,116642530,482593735,392417265,882243715,615450320,414988271,2683349,206210938,252986277,971556828,450765916,94338953,783564849,45777331,314889374,993437809,444149648,863650596,259688741,54993000,511577082,641380806,485724663,844553945,35047955,161530303,197715767,701642456,361862667,275478806,411810330,373094668,197505874,76494714,394072504,775781758,718173692,691782715,97774777,503721370,635471307,800040117,125790047,441886482,439997603,362781875,560173444,226771493,357597773,158841958,775624462,850108805,138028998,872086520,411647263,189855650,921366847,125794398,979671301,568808402,514003137,503436421,763545728,487985427,121016482,971008275,998457882,463098070,797622187,388014247,120092830,13125268,742198069,900895696,567201212,802758118,36535572,264848536,229680934,903770651,934678501,787889262,922721447,696521730,471723727,580540076,98095217,12510537,734070487,946148440,971816548,263447197,403698583,855959995,622098730,70828604,61663901,213068000,778597684,724305004,372135378,354375894,132322774,902552158,644293518,961820461,199356169,698057494,71784317,837261961,345091016,140572634,619753287,532818259,334113120,529006482,726758966,4930115,370581302,476595119,184647591,454973618,699367749,729145937,153796152,620393255,587707207,583575290,386277986,486557842,427519961,240978444,802993269,250205064,483008330,597950406,747600557,325363856,714091827,659075588,976147334,285391461,598305690,714577857,319803889,254409672,167272662,384718163,266435481,677935561,607185653,728451121,865092691,656317974,745906660,926807883,90386292,187512202,524904460,673427954,368868331,943167273,210785892,16896793,658987006,994453986,760808677,173299866,931638751,965249567,39605288,564994334,368975951,267391626,403789301,866065923,263576992,945671397,177687995,800503228,210543073,498365183,279793182,475207258,632634543,725194197,357223271,731568704,143836833,576631554,689795641,919662204,183655,316612381,46825941,322355614,34488804,482706850,90341229,809681891,600647741,53069606,145608798,44125849,313787926,615459747,779761832,281126837,98615617,448752259,664304567,463324195,859643897,98720709,977529450,571637553,573658838,948372675,417078080,879461418,191514336,447941796,975539007,169235073,487596182,36637418,332545134,298746872,402930566,994736910,283072560,400730249,761438065,644786584,29655238,617835034,397623969,754305774,273669566,276170216,269366314,525406669,174868278,344346251,44290543,499417720,273840589,195390389,771829551,853074494,834188073,318726513,890754068,819911938,507856531,394697742,253473821,840456037,682395194,109257200,201434541,675903596,132318071,569238123,401514312,237857056,47899593,530329021,66587919,607980289,943743783,660647622,125240556,833033359,20879481,316011758,282379425,733202365,956598237,223601523,987388331,478723707,198120656,134684419,54608638,837211336,616688894,60492843,622942063,494984705,419285621,120903664,814639775,367083861,705417247,517335123,812935726,86328936,854663334,719744044,977314129,534515935,334044293,904008788,636513550,684535717,987146489,790770855,183697750,60642934,473029999,925098145,942727397,830620864,628535409,365495442,23579478,938238478,37037127,482169318,812731234,750484607,424072242,587798654,497045282,436932020,596448266,397906922,467677202,94204822,157598642,509154619,754158848,533615797,411708975,970909222,404118645,90424160,53802023,407497094,193588183,264813407,905535223,142837909,702969027,302159885,71492777,121249047,171403688,738635662,91550264,114041934,380660620,453137966,854282160,616102928,828721970,82620218,79293304,667289657,160763354,242836965,664396273,645312548,664565492,25299864,838788602,769948258,522503714,241285854,709512925,562834801,408634499,219600070,640090758,719672645,925737998,603961365,306362643,998369759,76984956,180112670,711717936,506822425,644197780,26695985,736398046,13136100,871344448,78055788,858357727,309141568,773209331,214395283,335746968,632114367,276424147,584174063,350709,520808353,255093840,540916492,32953454,989696566,305986684,307110152,75617259,999326356,924394448,698083305,58151588,313331750,262090258,346811462,493143959,258087748,86988624,543913712,511797185,478061604,790614686,958231295,304918581,506503807,810240101,328398092,751508354,364786931,875842830,166792095,797655638,366956300,15539360,85122050,901107652,822247340,43025268,929034529,821695403,308031946,383380379,660085896,824968768,171764404,254548074,204692456,895247031,873779609,636622724,343888054,126004981,106935807,722520912,176677929,133935323,989702312,482032411,671433588,682530274,135313599,236700108,169560702,123823956,270070055,276472440,596874386,470835763,717099065,832199412,953909678,168447365,55892528,8845059,407620328,17936881,633218755,708821998,254034632,528085081,935365319,667738721,944139384,488145296,935738349,738989535,753761734,403003964,91286555,385358154,38749192,712210471,387212941,403579589,356141729,45881281,171984323,423765853,768586751,805192543,673377760,112401658,808373577,393081051,122283982,608559886,509505249,717361317,189959413,441695428,931245005,236317038,645179480,262664709,459901875,91090898,972824469,699220199,777212786,326820901,171464291,478966832,918927359,786456261,77971979,958948872,594163724,924473700,70660433,146364205,226797256,832094353,341955006,626646471,577369989,93326990,843001495,705656119,960002666,4356773,142809875,514159560,889593985,923753210,802897926,241764091,262905339,131674907,224035980,830177297,146305020,477767685,719967443,747045233,65666992,768195689,101148134,891421381,851717209,469088910,463941425,144432347,474336389,676615632,390917048,605723383,736168898,533814977,4794081,531811175,925364631,311467691,603357470,608856729,40693242,246151749,237233762,525268648,124349391,522733058,666762623,188553158,851878623,90073999,132710109,587906991,677829666,273051604,92364039,693148997,134060127,244953437,638068087,958503460,922497660,655065820,406629054,865140342,840974530,702276776,965557832,928280891,973110827,33447554,452905811,244362347,901501694,103453403,201970632,798508057,627789079,51871658,533425628,649202399,797043496,207882677,403358293,197260099,970025602,711565081,461638717,832407164,777578330,386163809,116738539,798073860,863808317,195663879,126580199,561751114,854953612,366993396,765702162,808450406,759572885,866339587,317298913,675289622,692647873,813044271,687063064,920108553,715129660,209941279,761292060,320233262,459045570,802653486,280565996,276945184,56896188,167244773,725350932,406158200,296397794,380666997,439687820,800992687,476737244,880157971,533060156,290349059,548966754,781801049,838142882,207005401,630918026,112355534,519450726,367473778,66613053,116230427,566184635,531975831,88654218,853222831,4396776,726565057,357806781,422148525,306591792,940264374,592055167,191720836,779923854,286151146,711343862,868508382,62748734,128986615,817885888,147384863,83944398,217487609,892110200,765627041,524950352,893703810,337177738,912328193,747537195,71405405,18453709,195780796,653911058,201681830,758887299,888212776,175779142,296353428,575424861,631417042,555263824,677847692,698120073,498265003,887937440,430544801,251662914,817557584,559165194,363749127,299846644,664399656,336631637,142555285,965530742,905167468,952188964,180611355,417498642,455031791,61971192,728565565,586993971,510700007,618589664,285241967,97291780,632816648,618311458,657632391,116599784,5886959,917146117,714831549,755982023,67413985,63826797,657879185,267171024,207887739,415794080,565934381,866043552,137471223,427503863,884002504,249689425,909848372,141956628,404575354,559918570,332641892,440201103,66028444,273313981,284013482,510839458,658268332,615341922,894046904,141014936,871817922,281786552,444243681,844840386,889945049,257157160,228010294,136163350,874200220,506571701,777117411,737180102,96122604,662876096,593652964,979885136,184589576,202746214,161682401,255958520,527477664,241528992,915915394,335020572,442397426,328583980,216931542,22998540,358662633,301314580,640964851,218625097,745960127,580122997,757515914,261046391,846235486,430115019,813461000,820463463,1929040,843145538,663116857,843096378,824694590,970130625,942720485,350046942,141846927,328799506,217513224,86446562,364170264,345974801,33842698,120880123,138611725,548355287,558381316,919355445,981247239,312592235,221909417,693788186,149252587,910924303,225485747,574624352,878627345,594284807,871200859,104810785,122788955,946440856,543083580,676691983,886900657,223278693,268268923,293530436,561399405,891024856,474285982,764383440,925449240,702031161,567167411,591441162,455813745,196450732,13926343,646321674,663825397,306364896,127689541,378151221,67498553,405065211,997107842,865901382,168009018,125521549,363443057,649037047,192904063,436171489,783865448,874487710,806586006,362022091,477481399,220411427,758943254,204097643,501293845,941281494,280366944,708077402,430490432,349050704,762252662,936373141,60953542,695036784,425258089,688105496,706092706,278381003,968195893,169161628,647738606,622415018,860527044,689307198,557912272,82363822,684651647,922045945,3862342,886320864,521905316,192004635,353312548,413878723,373106662,796255747,233625552,717664035,869043114,188544811,162106928,667043603,20382320,644230476,460580417,7100485,624656868,709442995,871850262,146332367,789725442,454983443,711706781,627361186,859000991,538990216,775780173,31338284,153640275,441116054,943769232,277869641,797112129,933275628,855948279,42060805,689069488,629900443,717193998,436560729,448343139,10312445,864818015,95866923,832918554,736146622,880846200,277176931,163201971,857946602,747288259,855504302,670845777,928539720,570843428,665374297,111809093,415956067,163814542,118258118,111308151,160314365,752782619,686460220,175198008,312550097,679103015,186852356,435196326,46354963,388856336,964103187,861256268,50518654,86269283,115626389,806785080,301047035,383844971,125947306,899279409,945307423,5739043,883488201,534802403,775215354,63966579,599192849,788857250,360694362,794794544,136291099,976592327,691148717,728791559,202117875,682638723,856174395,841618967,35160986,848298868,430247350,208521078,548246469,129406116,39217090,746090086,725115926,103270647,8883840,292323072,692076177,615438959,624303420,663273315,619933595,408635662,916075117,748977808,260208738,229202452,415068590,407693135,824212119,803779068,662483015,929718523,43933125,71579431,691487081,105926572,137977399,743229996,856506178,44452046,710948240,84072192,798186365,561456417,61039087,66028835,419922872,99459129,96646445,425212477,230446082,859032424,289708293,667894012,935884271,959190179,647428446,403882521,477780539,597692972,232011832,447977636,431938210,4958356,518590152,531601520,707691184,581006853,890391386,4494027,821736478,644106809,778226675,747937442,674199528,490845203,148826883,60878299,340576886,344476046,755287265,61609844,308388196,53430227,897523250,453373177,347813467,946351202,52808567,526427973,829903057,287693934,605368989,291086852,169364425,697700082,687482886,728527912,855164673,330022318,357869124,979284614,17575106,376222728,627951343,910844342,844891587,173732075,720061065,272081137,604139347,856671027,482750862,858270082,691357368,734033286,147862489,657680671,551592220,143938066,56783701,425904374,727944137,45130029,463603522,771993089,335763483,262988327,830278861,589300751,49276646,787053440,916767116,556477467,279398732,86106663,444731550,709853534,526350328,760982524,882767931,142955184,450971935,297860941,501021150,382902277,646358976,63758878,73489725,590401350,826114915,366459765,931467601,269945193,861598786,441548036,365765743,426482712,907637041,651891592,35490857,537273575,405614374,958181812,138170890,632810746,233756611,242083586,733708323,85435870,720161523,643205444,713995532,216158931,674590589,186430075,234132939,596572670,437186989,782376520,454214096,133505657,135974528,346277054,886451042,311146420,701984220,186825127,599600934,831773668,649086984,979636405,619789976,541792645,476908925,684555496,183562750,615882355,168452967,759690577,7991467,341650327,280190439,487628685,795164864,926196782,725221598,260580409,806543758,801519240,949594482,667694532,537728488,794869729,294187800,356856465,96027443,448514102,869065914,749458286,938647296,506385419,169338293,482241812,337030162,285224469,210119780,134560753,966639002,981903970,138059038,988035462,449989412,487097365,770393411,642576096,351195061,701573450,128792137,154216014,776644076,938029814,263539278,276786699,829249536,658936107,689190427,746552781,583530974,897984363,939604499,423592163,422900769,377777003,675775183,476157744,823204076,26893839,866486839,965882697,518822777,885230319,451770514,819720997,208068722,223562612,929464246,601004610,902819339,340679469,730596827,992290738,62510301,51232315,710615508,278866796,529201122,168855124,864944885,194161584,938126921,999633763,671971196,451027494,477593154,792830210,973983806,419323807,208614149,777264013,891876302,302133663,198676737,94880876,413663187,743564204,280855802,102105646,366572302,170953999,706679798,592197822,129944119,30213796,850917955,440431362,116711619,405628182,809253424,173544021,989172822,393185488,778704432,279666133,943663774,365594819,92373414,904010169,165769963,56277366,474942257,959990012,938236627,977037415,497845467,433487125,651572792,973982568,296452287,228844685,131477654,357424564,730354800,630195333,754360083,16227591,948081521,669733316,912363872,371536323,529616051,567860314,630773073,42020941,51331575,661883160,405689644,757104276,936191619,174639181,349379697,180326118,171704107,317250396,922453293,760434220,475922086,519988152,295686379,31840779,831298263,521700720,521797454,426961375,854470982,174593506,836973878,312393307,148785753,79419581,19007546,85226210,219957737,489842246,469513111,721906484,49527374,357363208,956734774,110052547,150959932,189994078,609039572,599003192,989958109,30925686,800802157,185859775,321213562,602033559,389868903,431075169,537173725,449838380,170442817,796979111,356179943,611627587,153371652,520944237,332861073,561736410,817316416,951051472,791384198,261432782,44076330,96816940,986417000,813922097,20961109,617167673,607105342,461653930,170343661,257252153,670629417,886951042,12917248,818205444,156063133,406238560,320867415,71357299,127187924,609181387,104849144,81351081,822164287,904314075,26015789,544027523,600749801,920984606,883705090,596416338,513963497,669582659,700403188,724491114,901919277,309716827,449433155,120280168,467306612,544882858,652327775,144824046,406886819,205802625,979579082,382194864,999753055,920521563,846699203,451548810,990163744,387166495,439669122,616544434,956717071,149689664,555995616,274816282,434706588,1924594,855314471,931822042,61686979,608468214,768879056,513829875,818900641,184992235,323772776,130705760,93546202,955335407,417823390,423260360,24782857,626618467,9481036,37301703,45976603,283588902,485829787,371404534,540414045,644500988,30438653,669998808,844037117,285191057,772038769,395379111,191604087,906340478,794151717,133324820,414015116,67516248,84078088,156993471,41073301,297957752,395996177,64195968,992538422,998904557,502632869,726863076,889769404,495778311,561587012,186141106,532307425,514673080,950183413,914704028,85189078,818016864,876499127,225703133,222535040,116629799,641344937,692079169,902419141,905395273,309769426,255570681,734878586,578485887,551792849,500391943,576745940,26767566,686612305,905608791,171154379,695487816,501020275,901867102,107836585,123326863,372518962,825875876,268224608,669062310,53668623,243026546,586658149,812725612,162686727,479697440,497400754,807608597,432008500,483846438,473357194,937755014,260105609,33350561,179203012,73729957,212780648,781095053,777963203,834635959,494391036,493720201,407855562,800451918,649187896,412115489,495522090,110403133,787901656,433678553,981499613,386016252,837357010,797119729,557126491,917643367,492481659,233081207,478678828,444774571,661169354,151809840,11481167,739448672,932542223,959838404,298527082,64014903,747676461,165701950,385562095,202473446,334403949,48553453,189169951,159834683,134786209,308356525,595759928,548242528,551613783,949871152,174313239,688364113,925854149,247796986,530331679,809182353,718277860,292661810,554631667,497799991,268375708,478591593,827049698,629913496,424812248,272810406,956038971,929745609,68608368,260691378,294640610,127404513,70529183,588961419,198393731,156527987,951833719,112340978,309797205,583838670,678991122,391726602,799964357,457044742,361572151,849508906,931097422,855871296,248907772,639137612,89471532,988442296,248998454,763452733,374730264,571923166,157102687,777175198,447922102,717456192,277400508,879039323,452341032,699247581,489088179,421035324,17005101,388046553,25604850,265164331,401849145,827138871,834271654,936073639,480002944,995703263,8504080,264129903,633760524,537390725,797156220,632996269,436701757,358128439,3336327,247841830,825774156,996158263,406534736,896789696,861888927,910781247,228147041,188755023,170858474,575890612,876924726,635569952,371594568,453828190,195873903,456658132,114108647,777723991,458093745,972589093,32443540,203519365,468080374,236739055,157275081,49441879,812330322,185596365,778185102,848631548,194239016,469350758,109717324,313025770,325758907,994315040,580628816,393257624,156495859,342723483,368531795,360467181,86728322,252402366,168236836,374297013,363296806,290448397,186042173,476450658,937634492,647193210,781710475,60810568,259687788,505673796,668268833,472533482,89608398,921551218,756448396,790064506,580689620,675872520,31432472,849400480,335006311,501224443,221646518,201418938,868098219,811115218,27571990,815866342,598338998,666597462,786214986,291885590,715493094,323456648,8254352,341235214,93236893,480577866,586865123,278484670,24469285,408982217,690814524,748461779,254358555,858934605,849429481,296566366,814107112,202515008,558588562,54538395,461430460,538694509,795677044,536131557,539962161,323907420,649389490,57450621,247697237,291236662,818621915,195676541,401171861,762449176,96353306,439936771,972210535,846754802,707560993,146696799,744256508,218435506,655103999,447134057,5616733,251014568,396335859,31388980,948209543,235355131,100961605,822740043,401247194,667866867,386510435,892882870,345305018,852891129,632538359,173259021,487306676,614856744,555684926,757261435,601854766,193904732,965949720,387458727,754827659,611589519,420410326,231888335,611743091,902493750,346334470,177261935,159417873,349652055,638066598,622879749,490662967,208779426,419620167,306412423,90735735,243752085,397676505,165691738,434262156,163200640,86481356,431590688,64693798,926465645,739406510,725697397,73468804,379476313,148613993,398334749,898539090,470336658,721463758,840913860,68908954,417575153,687334748,877362470,700250120,554016101,578495879,553696399,843604342,794195738,30842153,588374935,738872270,667307269,784486568,173386641,72527260,370614996,277600446,208045213,405952359,485479526,852221974,780315249,404510283,766775967,438422825,2365062,459879918,282654263,157683186,740913400,124078446,323872637,425664895,812446063,117542318,799332912,630474073,173204533,533086719,253930303,86569696,630480803,70383093,323666621,575563281,260001160,710760995,734475403,368004315,759378295,89279208,459003404,891807133,267918696,655087854,261306290,853280523,480544723,374896896,135246298,342316704,413391827,628153912,476315109,786915659,25313174,229859414,652276106,119977372,305292978,257733158,323241548,354359230,905718995,36696034,320452589,214737142,723813129,835765397,311161856,393181904,133342379,75270716,757946703,459515609,391871860,760447350,16189455,898708933,122572472,496198641,458305011,838443468,357311736,749741379,928394688,750330296,623411919,607752334,296084682,160996197,626820453,551867962,964074023,849487731,738233725,54482006,727864924,909193462,504453630,679839480,828674858,875509731,658590320,851878237,758673077,519331475,93082583,791699654,83691918,253100146,636608370,428376683,337782236,614515663,672403031,109297967,664463221,194865697,856550541,731942663,558457824,11830971,236850022,773793235,133280664,107849999,569615448,791977698,718085871,302430232,161820627,27333912,271820109,919442657,520578049,299263574,4801556,39101015,56110438,51780648,97448798,147135118,339259448,276745309,368567496,794736270,352388292,943852324,747754412,931233430,651599690,524659056,722253733,543186350,598793922,8490559,729423802,665858987,319183663,393747593,465307462,919617379,601263789,480631625,110221039,252058252,307882698,853372378,748904471,93308923,221782720,917781589,376008529,203307819,986592510,600223457,190185980,799013245,59494647,669563232,448129144,993321297,51582990,721198065,246669399,747568553,604147123,110046095,915993007,314947945,861603552,314707380,496671780,425386397,611147879,852897556,889005988,858344277,562569159,552799456,660550061,29313576,711296561,890932504,91466822,379031077,83253269,230746154,584557418,13176714,455441041,239966369,429460142,995070743,22437574,688178934,903567531,907273557,90604471,912768902,722745151,253712351,53427968,357074994,802672909,933713351,802383404,493912461,945108850,129058817,611485277,169588239,266972681,255851257,965679762,983966906,572600402,528634368,761532145,420431195,883570296,666729528,114854646,536571179,450842242,941093580,844053229,971568520,139419926,549066863,663300476,402748502,124629627,343982686,567646713,731847475,861758921,383389892,562266145,15173795,282042183,230061430,723117763,363592744,96856562,411423161,617301715,153403644,15231246,683415115,109789710,666935794,215240187,730564107,964863935,839908261,803930750,964805854,58042719,914599265,167435821,111536110,838949971,167381372,686119133,378989517,417711977,884545714,367003724,328449824,240640549,361861935,506572917,293773783,347765439,329107036,115582443,109804752,115171005,33720278,142622766,694002808,874608597,394593297,301154944,529313752,993714937,648830024,332611827,182800107,722186551,435138590,764124312,447147075,79607127,412468713,212696415,122929866,679997285,720706618,374997461,378005901,557795638,504318385,849399175,184125608,282666859,471666248,962619182,477238697,760618348,323127896,756643916,102728692,737327550,810404463,657937982,319602728,116602518,948219808,729972538,982931107,566016684,340926439,667746868,990885525,253186854,157774077,931261376,782648584,262853232,334468537,350539912,534281651,627121030,220191225,41687950,104711697,488746840,498095407,905070111,904326056,393297086,245254104,246244793,519066514,630917652,373369441,93169445,60362580,973529823,441711045,159636073,638456206,586092699,575367628,249793959,965615194,853066739,632321343,289924109,633987907,818877835,83665914,760260918,306574444,63882364,211418905,489154740,826197635,418233471,476500642,935229877,143266509,405910611,276064312,978903931,217312482,436365527,79266812,165988795,979829371,654266058,42749456,304075964,556582024,482185495,996898690,569635832,570723803,361749979,686019855,801568169,424046104,69907726,735984366,692220419,755393179,386925081,38523033,659261357,472482945,115185045,90958023,813265491,581099216,639385341,298244941,572061272,198896360,354616368,220480893,814905826,86578118,4856655,952062387,999679249,765175844,17177664,152652282,92874975,172966527,533659557,196464533,666813208,907863360,574853804,424152949,275718304,574177751,953510205,413690639,989791011,322130896,496959492,337917088,894090511,47923190,424259943,747643809,324500706,325942642,757363208,546422640,63290649,173755257,559881377,244840797,30604778,825859046,362943682,388766975,420245226,657436367,364418116,480311315,254422730,912758732,199294939,391938490,109957960,331749764,840578261,279462113,598821039,619248248,767469030,241033965,967464977,41579992,975250264,583448915,23202633,449395286,160902450,974314752,846711778,248558489,226487850,337047108,215184850,659421640,401446837,146768080,534833697,549587699,997838975,578861344,197858289,480727753,995551763,322650977,971741014,755001023,201458934,328806615,631831501,664451073,672748934,232830225,128771853,851944187,485157521,967744679,40430741,639291521,630443091,177724000,277761929,191722318,505147193,198946729,141402472,832398633,527178616,92380440,613108822,662421624,790637212,227485101,295907866,713931772,552270281,811566946,284378539,142854970,507546074,284240786,550281467,694706565,868546458,528567853,874582535,28677643,340486485,722950566,643434399,151200704,834123096,810561891,114920098,864710911,162657436,164566062,797576586,281785639,747264524,585112173,354890963,63487789,666912142,684735160,835655543,221565647,945081758,537583104,58467591,533393285,373937724,106072202,875676168,690387905,811376241,777190141,659364489,412134714,793074028,374157065,210752890,570999413,495150125,424319408,781064738,76833071,702409455,154325053,233193189,71192768,790492665,279226868,836380957,5143184,835996497,476789215,237092719,742682985,394198343,120369276,335413082,179016836,965999255,678108625,109735336,900174654,167614707,365268944,390655378,571300807,790518145,398116329,793151366,136837804,2539670,147341650,416562993,44864510,131744850,267558041,674367660,898168501,157494938,581623540,249079800,273858269,417273889,625227462,353089,857770395,726937797,216741989,238832234,436968130,407604164,122463840,482116536,483602711,404656743,323952971,481005288,496385340,979183065,861894618,995458091,970649044,275662331,983886550,41320826,342811871,427044739,577265462,410945687,532312653,770968055,490244567,794443441,826358894,345609561,635292190,713870317,499001760,579501478,638104456,341564774,633034598,752855151,85678095,529588502,10100856,309648888,725387929,336870946,94914952,304249472,211889663,560024652,454470939,745570773,534534199,945861577,187721572,257954248,165249373,195168303,606995773,575495870,814430519,273645864,516094514,525442448,701695942,498009464,405380689,999063644,877400182,140525674,6116395,410137941,926971301,510607761,531659697,149457004,826394210,264927657,604135198,161267176,683083843,603701197,907249112,920610534,306211601,325474087,678061948,483330124,613940116,357458639,985490872,647893622,513796557,987888572,477563751,392956387,864785345,110883112,494320592,327601745,33436060,760757415,36183590,461786416,11824510,897802472,911992973,228262802,478354186,48744581,501092903,57546371,878976262,199405253,262487868,806299246,485919334,748092042,245997320,638973030,981681293,816162859,561979040,223198165,723279015,996147735,200535839,645811325,881492637,205874295,732100467,608737003,127922269,933548219,527307475,222015059,454609427,535657962,142679965,454466340,739343317,795715177,872398393,356088380,368303084,696883524,911196989,520359986,566307915,586804794,706497836,874759310,194658946,210324286,938463865,418483162,850381310,293764716,135066259,899007020,985807408,269025459,937837609,762588544,81379959,756439941,263900159,25354017,878839173,976323072,559111453,803064739,413216585,197622124,484867221,137564193,52563777,901359495,462455561,971517174,335661816,828351707,804670910,714673714,505229740,241061348,465895190,374455211,440322140,585459569,193811358,423168760,616930952,29633798,337470654,469838703,600181295,157268165,902319721,364327090,571596292,729321032,137182769,940349493,312124088,717873887,759584487,174928910,459751429,284836863,660153341,402502185,718989633,304090911,388129052,553952937,987503338,117236730,192051963,256595971,918154677,608611011,347168386,955704595,824710280,276670098,476282714,660446618,494853790,327045619,235541121,490738199,576876767,97793294,33138323,866595552,273824802,895058905,716463359,862169038,985758238,312354863,747915281,91788771,933204631,17231173,753994836,288591600,247807724,511578078,224093151,903932302,142576964,907250457,790494300,569351541,210649965,174955459,841344060,342196597,498596929,469907766,333100332,765755906,39944125,501541950,242082036,631996322,721872045,602511069,807489048,932539475,658007438,842895932,144365086,641654969,814353546,493788602,69524031,43692549,602613862,251333769,416630186,401530146,494413731,632246965,778168788,563663822,536143137,232964164,40704988,577588069,574158631,355056844,658465557,866873042,544064421,156834494,432510854,211764753,697423177,221304505,249870172,487919191,306717309,352776278,286854543,112222299,7678598,962738115,763662429,592517888,744245611,927649239,949403202,914001446,958261884,667800976,143443008,843388369,513656859,699608003,806214488,98923696,662724546,700463092,452472977,36915907,244942945,554941631,103236428,939879187,858696270,347292830,940043604,585234113,696979934,5028311,569948107,155267758,529287685,338440333,924120993,167535435,922211684,288998382,836954318,797236629,188948750,766600862,737750890,624708519,92443897,969216546,48858999,949185252,901755060,721072478,435306888,307731289,225062143,312258464,459195177,38939143,313806817,209034837,819052713,784890227,141083609,678630054,954448092,73234506,887917544,597204429,478052826,273287481,101191426,364897194,183627390,110499547,787366545,60270623,215616221,288587541,69755785,591889681,721710022,474308352,671655590,576798588,234762207,96625968,340445625,630413609,162212395,703744310,416201914,715820575,586037474,261936697,600386023,815367015,20243328,481933621,708889533,515033833,487788901,277751327,191888497,339866473,762888236,895312917,802821383,224401700,394955007,475106538,230040019,416061000,927990313,201367556,179189955,538699097,658186008,454890854,260467976,60625401,116745592,17997513,950099718,417547913,437758919,492965688,560065527,806777321,435825907,916345026,239518910,894430644,523734298,869617410,187234156,129793708,691746626,562938162,645709093,452641932,840341683,666906824,702964060,759976506,177978132,983387243,820661967,239886706,689033607,928818317,511201727,203160376,474274569,228160881,831176496,931932301,345935567,378177276,13174572,218757031,233842305,706313317,977540191,801899578,150980316,856493202,633536251,661130236,616993517,553355039,924548554,411061749,510990859,694808223,39385891,940517284,620438054,282950474,858920540,497910454,550393908,319960062,980797171,381359553,136069775,179414143,480821233,392796781,636368406,942564317,539943987,44099157,243761740,424812652,151864445,927134333,271921299,968340300,454296805,121666590,496124853,420442184,77065870,658623634,271385210,858709383,180223597,285229390,129081555,514001627,88921492,177260463,27211200,806007861,981988127,719913879,810402582,32292516,852386845,684707854,760457669,905112294,776673992,338539687,759580947,745798909,289126224,268362470,930223510,584991974,664511688,664596757,723722168,739522285,128422668,404198898,591480380,2880542,119425937,323628766,445596392,337461989,355477886,487660129,839656705,285008179,557856358,767310535,851729006,141128288,809353827,781131834,537360544,244268598,856795748,319278387,978893083,61029908,224189090,109978629,307991966,104220720,739006549,621869907,588814043,810126001,35628041,493641954,133127634,671678650,536373032,184428139,173928902,252037154,339153114,896957731,615249212,726699021,587583945,117743722,746897794,146246663,160056113,276634470,851717117,618851,98652353,77493932,516504581,94112448,677966037,978442920,917221487,228593946,386184340,118443591,375593961,957961311,1437858,740036311,583476035,50699495,230387452,12515103,24706690,396537374,303411603,716178286,349925975,456919213,99111026,960903580,443505518,185957043,991773047,310477902,907271083,15505633,372369036,838405592,862919932,186225874,46331009,897513637,568915175,325776551,858724419,535905283,773447142,37705172,287977969,751000538,567983078,487950801,422159659,424650368,640043773,538881721,269721246,261224664,677888488,491855487,412243291,270202924,558039042,864475926,784879337,993215045,913884277,836038613,707237122,925524276,186799349,47619720,366946396,291401517,684287779,725367828,731742623,82243475,205424073,359622053,148553983,936464576,1098689,380716709,378033389,584600222,396683529,985411268,854102224,641087499,36635607,669942704,117497428,443843639,699630270,20303357,605384525,936333738,319613328,216796463,71243985,59200569,325823903,244079104,94208773,130883823,805617115,53964385,368589820,651526398,610501991,681619336,181734832,416436383,915878567,874044478,729702324,787210389,511660626,466465683,113886202,397586408,797531776,648208849,728774458,374298099,85852925,638734278,750819466,200121723,807606499,238006541,749238872,136182526,763232831,267391200,270134859,340087546,565118491,884455051,833739397,100418947,817002980,474533047,676434764,267917440,703437346,703467485,308875632,132849841,637936875,14181357,29987693,180663210,608355256,237449539,83531966,298073011,525757374,604600660,476953818,147204796,309967479,826587509,9086469,984511323,721871330,906842313,809650448,609996470,36990439,803739209,512837785,415887381,900783914,358684257,514751889,183209872,21234562,385660424,480144446,558064465,510778989,174792593,264334668,856458220,935049673,443915509,951866318,664583058,744511156,847910721,824484073,330715796,923758850,55828758,108607391,839835935,925367290,411251887,55210749,440041103,989524270,888501194,625274090,316082839,46972852,434252517,898248640,700684603,885228564,368694975,121045111,777125535,898111360,692743907,448928843,768007627,348005504,887334858,936415761,339272225,535158982,956689663,780509769,808034045,499737629,892827683,488180082,555374544,496153914,654375306,48295924,156417973,455910670,530273261,590002094,875016621,927281809,517893901,601780039,296517546,768006117,748775812,875267429,896470491,93185076,722494489,653128012,340280627,705861341,977478912,512912195,726075690,571018123,645744775,350822496,749410761,610472518,851631353,138631445,333581651,850443766,198372728,344790137,604446814,65710161,417134049,750033273,37139437,44176111,981815447,302324743,220372398,875964815,582566028,966643287,373080434,939211651,736334842,40949669,302487963,624056101,404109380,539118036,855270666,341220053,411211944,634489140,723842173,727441754,313747582,857389241,313742185,105577620,267064832,907743407,565542217,522338688,990157842,949504855,401282858,68463666,355543899,649978993,256137682,825723459,803158935,912416932,863092670,789926902,225427715,501547264,468644318,165539390,217358812,824820456,944572216,212174546,89493573,462367199,491164930,301848559,787231084,650722612,46049897,352007546,852788767,340276454,943637168,864666873,556910286,956013133,217531078,980394246,166473930,281393931,945519808,885157041,11861436,134575889,626526530,778240402,775207440,328132011,829723298,23066448,205253267,698082411,492404285,160369868,354817921,814598522,381584360,465639554,289902284,744489193,338181246,719767604,573314583,337021764,463563487,90784936,895513103,58409912,469135882,323784003,542359488,971972260,218262155,564512939,752878007,143002295,960071148,860418237,349016289,4388370,162147717,684784604,489860987,102599577,437727979,457568935,955121200,588419436,259141549,332716,492587822,747979184,318665488,228987526,105236998,197231672,351617291,959259748,741403502,176502269,952156011,406554277,252476480,944904677,101267021,786336679,674562742,242784304,495116047,361367816,220689501,218253452,246101813,749345920,722397722,160811903,57292793,961934566,882084260,663082460,390016552,520002104,102410022,41742954,696768254,910099074,874563218,840237424,131929166,905105487,331480514,558121571,768482517,873071426,682799516,534008870,827714146,778494456,386017605,551372532,869503131,857592387,435976563,191474826,325193834,727787966,107651600,125561084,410777474,352104142,155392630,649671596,307278536,391888965,177006913,641932381,869943628,711973151,430627776,404986977,953659476,970691398,178723365,192311034,273563836,208253301,292329925,489761656,278992191,654909761,579258214,174499229,163210971,593375104,190773194,517849999,99289257,99554951,789211939,596446657,411365930,810029279,893545475,642714048,562240688,46094743,444755263,670176910,413725557,463480103,675096037,23503169,397331272,685443593,959348099,749922846,676184779,60719168,749776462,438640896,842372063,59780326,216878392,559099556,57686034,579811283,871270469,153792519,728608349,847838722,90384765,137080005,909918201,751077056,463733752,578966937,585238055,577733505,544320334,361305552,694017685,133370459,63628776,872376524,199436454,374551570,995038692,721458493,97167871,860484640,65875618,179314841,735934376,700590851,748312149,350381457,547964540,928059089,663485746,322264125,655780519,530546490,676706629,415900114,978103944,894413333,754129870,630545791,137277236,224575865,939767623,146259623,770831093,124553480,250846928,168498993,289498760,808858396,525490268,667423982,540916603,878556124,272992855,399306120,780183434,564400665,635207512,457397568,825185501,336044533,24094228,142907410,495139219,356888061,762350606,477917408,287806547,603146684,134421804,519386883,865023624,599093449,485941259,937602395,639963617,407313449,526201982,905458846,714280305,382910159,701535498,235518093,262234797,205882687,408110777,994079112,268592694,922248037,152484289,718986420,662557311,113842057,708094944,408296353,713453993,931022751,299418649,475853067,599215234,39094516,907485430,964850332,531148951,107476550,713948,324605075,575937511,351999867,214887437,66804314,747910483,77242871,652108904,293267893,34246068,524538259,336737201,324679467,712557086,289843069,249106249,143409680,160223741,554086317,352030842,298888363,30968832,541330494,884073790,190008059,71057448,318224772,68901930,889425019,449147331,901243108,330166455,872589082,229424621,82421970,359634740,67604175,974159378,718461121,713542274,910459307,481834314,218763014,380436427,745582726,198306429,823161367,14000382,988303330,408122013,706349653,693156952,540730052,330255645,645321969,27150520,364044782,639327587,726268997,937275097,241349772,92200588,478846801,468988235,461762776,496769421,449163284,142632762,487237244,651858511,940515597,824962912,346141149,226917770,713714141,481004676,987922215,959343724,993680820,810986829,168275603,34399705,231433982,184479858,440253733,54476505,986559477,392936445,875455030,439209845,828368642,461734359,442892213,568602268,524108624,811642473,350689815,847266071,730289534,870925457,410586674,33199834,967726298,829979267,887232351,118027885,762829429,723512770,538296655,88253348,335879847,2904090,163633211,898306117,716694484,237441244,46939906,19002488,767676875,894352157,726064836,845561095,739253713,521959008,964127762,30037020,960205677,121961735,831593954,274453232,501778405,417797251,59176691,551219661,393084728,329899986,591596330,839363476,480377495,984783759,409181085,923753053,820210959,624500746,931096459,767275910,13900732,615821497,891118019,125870491,338627450,586916442,292703732,177864296,574733295,224925888,408706746,946450900,30302846,683231539,546480227,83410541,681778989,955482500,9949245,620565845,790120007,264818989,357524417,351392217,475927471,175949331,641148282,149275188,61408659,461881854,837951554,833974139,756855876,109414169,540622198,319549229,530860266,586462305,706067535,921964648,940788567,456125081,972250045,109740609,933157941,888055385,267279281,116395324,478657743,504110404,870196436,711470277,871972143,932163534,125115940,751204948,286963619,975953504,72550255,363331558,973500155,330419827,941886585,168342153,692384075,465908886,534005141,531557978,135795459,834935616,852657115,570093057,945000636,964041726,86957005,215333323,502949469,278809539,483753449,191775788,174024362,803642703,556352449,706224631,687745682,647471363,135165561,10300062,637784478,405218651,88629630,540991074,100530980,153195331,181675261,435553101,58872767,729092778,125103468,353681232,676080438,932831209,90416428,553061406,37226913,610905049,571867088,602383310,376483950,300925946,608111340,883827204,67846577,61989463,389922849,58292967,50785801,447899096,407449350,395843881,200964428,253932131,616563449,106496432,336243655,993373574,720142491,178236831,957784024,932538121,101107948,747299417,421576476,471781264,304187784,580184990,288751535,573724510,911887168,267041855,767926434,250851337,405205435,742957197,391701462,402483860,462692538,452388646,312373999,347046570,863315058,142110637,235438954,405151476,831334205,212159633,983880992,353832172,431554988,993957909,347861913,654506818,336083146,113742922,965094514,263867673,463436495,511167182,609526674,941119117,958864833,340167656,750867109,974219699,785418281,225935008,18172388,550556558,188053919,475572540,426371017,965656491,902347847,576445396,358080328,774920485,417680488,555672160,368092074,366610396,331668181,805133077,191427328,957453885,320686945,995201927,900098043,367240786,923485763,430449133,419823767,164938893,355234076,108593712,342205853,302838566,886662788,149914307,838689790,6899306,851014611,49205671,483660648,173669724,430043838,93501684,744091571,402832286,560567723,792191645,704538967,501874340,581374908,728695650,637749076,775088276,315371698,63971611,299287553,307149752,971765536,469903501,346391566,692022360,244730485,87149859,625233445,690585636,469853641,263166006,459947842,130628479,146429460,550122791,530608340,789611608,117052679,171107747,460212768,763920950,102954561,373837879,869959149,692467097,130818409,261313152,270886613,824403371,418505102,859730620,376441024,30257350,436252459,358258915,629362375,36932783,917038458,483479565,556484004,652638016,71921896,113608835,378526933,405698028,930125746,390241864,553178507,920726356,872872366,106752417,848516696,299734955,217130551,442452874,49691590,968175512,730262413,732039187,318911413,653642455,783363403,415268734,615422435,740586116,724762423,691071301,205120761,534659341,304312622,66276133,641902157,557406376,808832859,622939599,936532125,154870070,327649878,369793333,682350487,642897774,512279602,285961092,445114343,619383768,610714514,993079477,204526851,824765407,695517898,645463052,354616501,770438849,236149706,916366240,111777913,434882424,838251761,687492370,216625131,730287997,92069042,363606817,676695197,617227839,840521104,977833451,541879416,94667487,923403815,95115045,816604230,921843085,222012565,367746625,859798472,953618058,127948713,915646585,539083065,553232558,209406499,692954101,876193409,12702356,333191596,921084609,350520341,643157091,614128065,381820500,347552043,32844668,301794311,903403585,984188097,766973235,938947910,48330723,791034474,519321054,304666504,290021274,697834580,871666023,52038838,935928833,481315149,437846568,269532320,932265961,115832901,452960498,143333103,980419399,319023901,481512157,472534023,642370669,135073111,36986179,444704594,859586185,103737554,360338761,973833557,299246165,36182655,55550106,682305996,390655950,9346371,761993235,760784308,666058985,593787872,947944942,642890446,326862692,135459953,255358261,743987019,592825969,165143041,380732297,897121981,193511364,914042875,113303771,707876468,611999702,747503991,315020105,718190068,559368988,394054521,887972607,294122383,280878529,719831019,818528577,119676512,300293568,834117428,471323286,72243326,573539621,232962336,496398255,419895290,608304925,103904243,656411364,254897755,246933793,483720377,784422670,142155089,149656113,391069583,376169958,152100808,694805519,334346360,854314170,155012609,719519820,515298325,627127627,505886089,338407543,30325757,950190995,509305783,796110423,746972285,609249120,91942846,95470451,821395913,508743746,980516336,884723944,999592596,280045901,475045621,27782304,285162738,99843273,91798488,994791734,522648305,2091167,288416071,212747442,348353112,960004467,723209777,282519702,196159760,975425382,223626142,720525367,471983063,512977026,230023446,992480709,513456072,496617754,875333342,525927045,723163386,487201443,531737172,649154727,396311326,903871828,347392116,8779206,496748095,278273546,585448909,103331224,64390248,618856147,944554705,288260705,797042585,634923394,629311785,746780830,332922245,89164883,342246264,152138281,220241908,69306352,441285871,583782110,664583895,132544023,402828425,384069007,822418413,447790230,647632152,674888133,383487471,683273470,382263639,118452292,583584334,46995171,79923725,119114783,480764150,166523257,679815895,759519630,66650446,574630944,475038918,830659756,214906641,947721513,875895129,776702842,198625247,890461317,986592550,595987024,819564196,84029497,855139209,192219946,566168710,343155858,247884967,157402139,114261532,75269476,177317304,661191748,838053628,362043788,254087181,266697393,683386967,563801051,445172833,507277809,631959431,7832234,437494326,41699744,8429419,775159428,853798499,95240338,936590705,932603036,840289958,109081437,66990917,158206518,862673170,811571724,766373911,210439510,161187506,546809864,968493540,300490507,411385066,482189639,130536611,469841880,736816813,674234620,227959297,737118462,223640052,740242495,285141256,225903761,415126490,202609566,162951567,370947887,408428060,558693280,462733663,721559283,707420434,376916167,522655906,637303809,981038803,877096772,117209946,191212390,190233199,965322968,832996349,264605963,320960512,261980192,76721305,282926215,762913098,59024430,675712067,292530078,639448741,780461154,17799743,478769669,332785694,474152255,312867677,755954873,904072508,307677182,879413159,691077253,700688768,847137441,603362041,920121916,441249037,258454613,59719194,665319296,175276771,314848168,418676214,398298773,722256430,354395239,507880640,884321085,104468848,102755235,38886682,417693225,895789464,474622134,48418158,815870536,17850671,570616522,953636294,374986785,902856132,883668784,255039593,219007321,270192034,471651372,875303409,812689410,403991984,71836709,992410402,563518033,156428456,51828467,941702580,207006561,529209102,542008523,991799747,643664599,43846765,96603475,83983597,896220491,572160064,680915426,604365054,466758993,593530461,478428327,433245446,36462308,993296111,775109977,929577560,40806593,90816121,455915738,465019986,394100358,371546494,815092541,168098707,942733065,694450779,355310759,162903280,504057120,244996046,475819319,816147936,239275918,917935884,897366406,702681770,974726920,774647791,452763862,210540693,656700675,108871711,214335262,88596601,588986433,645047084,82476340,199242641,124134192,944813384,482170399,554977641,357213889,45250230,253805984,133961647,3034497,746553702,264774880,439194209,292890505,566855757,748626057,273679971,31761046,821841090,369178731,441590356,567752315,921394127,705155434,81370654,25097067,975726055,129424508,275622690,531167879,863524506,873537340,482550244,526785941,450879609,477726313,965710424,286335041,806291988,761430415,149500683,252617849,337002327,601367881,413360246,759615826,53513790,936115918,198048168,485858352,857172444,538796204,749765900,861126019,479889684,484936453,196284165,145158828,995453133,793956647,444598597,645060430,717554538,455617892,697882760,315963126,74398452,504534005,870538633,16426812,335868820,833093242,999610523,687251161,495879176,3802598,970914516,799349234,253498109,673753576,267407538,390799013,116595422,896550287,600516894,982473562,95430406,162939278,933664124,499649089,18035050,165263999,538359076,749971678,216302378,808656252,411146853,616873238,296615860,303505033,64527878,710114099,782045538,915972561,874433623,687054739,260817048,948139455,785771201,932549940,81630851,116702704,234913324,654454209,760727327,609738986,392807850,45532224,725150352,315128517,869198295,846768992,313431114,803824950,997125135,908412004,361516038,998350524,121126451,689628403,934308129,935864778,286719589,477154288,831226268,922908419,976645133,461654187,434048188,366633001,528582759,877679486,83810237,643112827,90999081,930528959,653095466,784667694,978419973,922633477,455591955,450215356,70449071,138793900,826565005,723857787,327281216,652222150,753091372,166014330,292484429,16141882,125757988,314660292,8194055,459520505,316517810,203781853,809922118,146631601,105299794,851779018,147038075,343910194,651006378,577143252,352627678,857392747,709842604,934337802,275549844,314845906,295703726,995401899,673591732,103411560,236004872,994802740,528963750,593573531,932612912,876042722,55003605,796963851,372993958,782722757,343243319,810442165,276141994,323605465,162699557,289469366,481069769,834781892,882141650,189684550,993125996,798052985,44361245,528732646,775095424,496071609,416444069,398338605,376566226,760345224,390666561,935016739,654743570,439949849,367020355,757884498,298478949,511663656,25463811,642230924,456434174,948309208,786631161,711608471,904969979,499185390,535765291,552890614,860756772,425952074,543816741,363319716,705489176,584368481,620176873,388081449,722885536,263095528,389438457,332164422,710152719,976576766,350595210,380901378,197024537,714741598,273213370,562564828,849955523,858639924,95420942,557135877,878229437,942979103,247269029,925659590,974306787,39547588,279560832,896677376,6200505,760350285,715280178,578755324,734130842,298139533,979831526,352317493,416091835,304769074,613373698,719589737,607513253,524531724,74108970,266978399,842987730,235207216,186365861,375162204,505561304,993821990,443287488,546019767,76544673,3694195,991002912,97952223,988933148,431408943,949514676,428417391,917360943,92154208,584167529,200365270,90564009,822547865,571445673,242407744,499787483,554436502,952364195,842911495,75618905,341510251,491556807,721417574,384820700,196756367,156808749,587223283,696995226,758605056,433902813,975732458,56853317,626317733,417675097,916754614,998449585,193141822,643489308,667136896,338942872,69766673,5930427,524322138,414696991,540112988,564299726,586921007,588438167,868452404,678829619,337915554,469187062,714295457,276308105,769155547,99177763,767168097,552406844,269131541,178983653,538004409,337703358,955673018,600194391,249179066,521782063,573013201,222850241,584145008,306182660,981157380,940733861,378151650,634382909,768050276,312246053,759165582,37022343,645804949,592537776,822940513,467941774,208154530,974223573,160318130,361467995,433208664,154165101,52286020,779095963,857356402,581689499,810852308,202511234,622589413,186979287,92424521,977650565,102442640,2886749,78857208,686677422,785764223,623387940,695683396,41120054,822140092,495657403,625194029,463546285,273534112,508002633,706695015,591811777,210827397,155645507,143475711,974496796,654136417,592524815,472457812,972769287,180138585,382823988,169792633,696903231,804812814,819875911,997841631,175584679,465107020,125666612,835714854,958151761,276752114,776566811,783180384,441050856,872921800,231487404,938773255,440066634,930810015,514413360,366867759,270231125,368513276,174078729,436525318,402508891,919147709,944289463,929475235,396227789,795062890,576668621,393878710,584076187,482757608,607893961,641555654,841066936,986182872,813285026,857724688,834126817,520433564,119293857,727581763,279192420,199882868,518696469,662879347,593242050,452080726,394023073,526647760,388429795,426047373,665685254,55115900,817046145,109119925,558242467,176101769,368352878,250541365,417763402,537570305,955685886,355392052,385790335,962129471,770302513,560720023,609577227,983848094,531409550,41047623,946345407,572553063,132122834,292158894,118754653,4149870,412846221,258836547,126039366,383203930,6796577,939906175,997996295,645686358,232971909,891865285,4034339,430213362,747881183,113286110,350716338,609796395,586742502,287815818,4230182,688022162,296075562,921011252,34240152,374178260,8159874,109570151,865084368,181994972,975375220,955613322,889958973,623347780,195904897,14958398,574931204,156982050,489423194,129557622,991458202,732585446,251043815,771270974,681895933,857811983,676567238,3097996,91719800,329753993,522333227,310464743,877366026,410984325,14595964,334049467,49195689,522313091,428838379,17854638,610753584,514181307,312944670,269085135,54194558,627781753,321532652,528426487,46942454,250203079,259140570,663289153,914643032,225859315,894276027,915380332,982242293,591776122,271018639,611743802,171878840,364998299,177724413,90732649,81281864,477856251,454072288,537719066,744384180,606092642,513417077,871418600,304004310,325036021,602982270,307224431,707822043,254091028,501944059,135684519,875645439,476992242,817898318,467021057,59804257,532060640,665084356,215396346,455276267,417703908,695958537,685067522,157585765,684630870,414036208,440196852,779248519,481027446,816408870,952937215,232048546,787046555,168582340,479631032,125696569,630188299,708387614,31239594,974726978,274527663,198260181,785556377,735140954,507452817,543327024,313279441,712708378,457320815,677021166,284594478,879657188,959675606,751972215,569374606,384846190,76542388,962456713,556621671,868532328,452389609,647956086,271881012,134921627,656468079,274694889,796767691,296837005,740150965,255270180,899253388,939426781,838133211,823837149,268223936,339227977,905710482,286823478,303538370,603772768,262913356,418019920,453415220,822835319,3124317,770707526,479553401,430946514,190583300,456602747,938619278,301198120,566936031,685517372,943801760,109923305,605949025,325505201,376757144,765649422,957759072,847519727,809848877,639961918,630644733,587286892,528101067,625081015,412337436,180386843,918440275,226849931,439182886,961940848,312525222,190889187,172381468,389894064,621497906,821232248,510514463,890341854,548036570,644790666,875365567,731241980,829780934,713211388,526859586,778123021,259277784,96741518,933012102,236099662,721606256,339157051,350584452,968523318,61049860,832186208,892821331,204689146,331272480,933104969,281112254,274196262,754339362,756871442,482552290,41097325,628258476,465348374,739764845,988677796,381408145,75782622,700892704,932856464,349808123,223758003,210252644,566212004,28438325,31834613,660506197,797004573,635430673,11119677,700534104,897086419,724736505,37271464,599776769,148621065,958373480,961993036,18146025,54519258,498293652,408057042,819200077,932331585,786967943,491975159,497226350,343441994,590230083,26177683,666154709,913358944,262101701,351134477,804009871,333520286,103285173,153110533,637242361,206055802,42645631,248322065,975678213,931101188,251057161,324717763,607954785,820377363,518013815,451900852,527048120,631158748,275165154,764042842,278891031,526592508,543897975,111037400,261342810,47037143,442725126,199331953,660472028,690516812,368615179,806291129,481710353,684540763,953953277,205173399,624069672,522193341,619594068,173921214,223759628,294306357,636714903,98017507,774680646,723016996,258602386,259711945,433552239,37612808,22042910,475984449,748576708,221701566,670896994,23837075,382557702,889384298,4937259,135223808,612801996,865249086,74439681,865204625,56129472,611696858,209228491,751161708,519027054,389010329,134883328,598204163,431386320,493512629,46131676,872507324,746028154,801065926,769825996,847646184,171521083,707487003,447058003,935097913,395727947,961335683,366349083,526139715,736457475,339409975,919630097,403438583,688599823,134335244,204901187,30294971,200942475,310021193,28650179,518463220,11641775,983890781,659294422,474058710,295039554,937283176,688622304,152835959,687195814,618571664,230153374,744996130,107115298,244308641,516782696,706459691,540704208,744474601,881019507,180140830,417837567,990784838,597290370,506981205,319513496,34557189,90120658,420999518,137586474,780238388,83697066,195344546,603929915,748804351,36448383,205318022,680356832,187533905,666656159,566871037,234245445,186969545,527845487,115955,605854765,181203442,800869228,494849913,941335441,735501857,440742807,80398541,388107936,503133297,3197515,977173090,948197281,866149030,890336241,737596275,239635358,763128793,464260133,34597222,964315349,966698994,550837991,975100395,482333357,670852629,606619048,136457243,257228789,673786956,719476553,255045898,434789793,444366287,33716053,677384030,531727370,799307461,766726992,868268592,805286845,72495250,760160131,22466245,614423273,642394171,450064837,993072964,602744724,751187501,254919657,596080075,725099497,187626331,289529676,686447514,59030443,617579753,95757627,255926332,430369520,421793393,153845646,691709934,816021786,610895947,140851285,939394708,28437159,145476209,958148237,559758662,848249845,921372382,702243153,555134166,656801764,897738223,203000159,390106757,818710121,685271237,820221118,348154174,769008365,756086965,711073105,960711921,251585986,539029627,942889107,479045202,797403137,354064939,18609673,360608350,221907315,860590850,485044445,160630607,282451344,972023571,595221899,324405145,768928757,308246831,537466560,457078115,341280099,732827119,827209551,365284460,957146180,534142839,682828334,775037956,666998442,502363463,485545469,279132970,336070178,949728800,323652840,755751018,681927740,183035896,704675063,600718620,283792085,914050916,669799915,639358090,965856421,250151927,8772769,214268657,616964115,594064258,688802527,458847668,446003312,570378651,797270856,300864262,253232240,659497774,868774917,549100110,524496549,732181914,173500988,670667595,869665063,603547692,926926,914429430,272748408,268355759,597576430,718987854,936361271,391375997,499825952,973019958,181675125,738481588,205268467,291872837,739022275,149926094,263717232,168178914,712859476,762894829,21112388,771540142,913718864,35967132,990282591,235895331,80891970,45765177,867665261,676387447,110434464,668459812,915840473,974456395,955804968,530308455,421293578,338752716,179945203,407873933,230148297,372248231,390495586,268984781,22278233,642690544,916079713,836434955,305638684,62126415,912864197,179848353,489565849,386010553,743838764,754482035,129036507,2498307,78943861,829277865,892418677,813082127,414516241,610465301,409230647,120925686,827143102,686232368,38546949,939685019,511868195,136316668,774637573,143850388,73013809,213445303,765917163,757061965,474802205,753082880,264023107,473227731,929298070,833859926,263036402,768522445,609588007,664900084,369443341,283111630,20417587,840901619,54231653,859992222,615364247,720624878,187583154,582608511,565906775,44883342,727169413,819523610,60260068,768389783,132575818,782820229,482896706,882701726,981861980,873495995,168773289,510531831,774687808,205086306,237147367,233084474,487412049,231693497,35063592,598909418,937999060,958267583,978295086,716854435,229929979,25331989,779100581,991205270,486940401,597366968,155856079,729535814,220501769,923414583,294466901,559693808,208462182,516415494,235193270,578101207,956864089,329917509,19053583,685764829,780838801,249194407,169210087,67464814,382394634,11756297,258526064,203778532,987427343,960488911,566353928,688009974,873146774,799138281,367264497,993571830,363443535,83238653,726862939,923750727,480371563,174296309,753164267,323409712,95686228,169305287,129361246,414172278,452318191,793485050,294885095,152712538,149484478,255793961,681610053,946620266,446601418,134245316,369299767,232496389,296763292,702230830,670344619,124485348,173508040,734216183,942535356,87383407,706164124,372861955,793927526,561482241,715708749,620079710,981762816,465547587,11018605,19767265,220855265,111168400,257996380,309097972,406161058,636806751,972498898,306759091,978872603,944467315,12661573,278338376,320268298,909105388,72624790,290007253,934232102,837831850,303663759,474769279,697532180,584422801,861530836,223507490,427366996,964080498,327638807,827986187,979939560,902855506,704120104,560066393,147271314,675214855,691992468,681900825,834186625,365361207,364497972,667189316,682860146,432159145,132386673,554485194,240482790,664008582,458369883,989281128,179226460,431624525,91645563,152686868,758925700,567602475,449287093,414186515,727135078,932148828,290999326,551556274,116532166,455769405,545681621,498217646,488087820,41031618,604286578,780370464,154619658,198231676,383279611,486181060,881980584,228616345,932123600,324912088,528081057,186660967,890806377,19188082,373949309,869949676,878927671,723754130,532192038,731046105,559709999,946873598,556211195,495324452,440309506,436174680,785162269,231370732,701815684,343032512,386287194,631927650,978095954,622122780,855426535,275014465,825824457,937368088,358875310,65969834,510507901,484539030,725045636,25686682,267525123,716564742,39573811,833200653,283186200,426512798,912293816,559483085,456625205,568874573,35359450,183765097,123674607,87069097,85763087,662360684,326160611,624473049,13569885,828763412,258898445,164740308,289527924,858492882,834398355,146955650,168187128,823840138,504833323,859411286,259357026,412422633,9147708,412560843,302327744,76984845,526036869,56513271,906859970,509858699,552911684,781866379,55407333,693439682,246276549,235415042,652515306,946406977,330987937,651551277,116597111,298285907,97164926,493463647,953102838,406718547,491507539,159239270,562860256,388941907,292138986,787690527,468267704,470288309,75073453,437842129,832258914,184816169,432407364,86244669,140571080,829751935,619408107,611561131,210981242,743430369,792628340,607392285,856655501,85832159,164852741,681570229,639025476,119131938,548766570,316351484,149383612,417289650,356524025,739236545,959878008,724932776,697290933,949081786,25817246,265607051,329252196,795222990,713599530,660142994,278230173,120397406,965534996,520962850,885014371,74912593,972619866,717357351,108494954,959140949,512463327,593155902,221144115,783578143,411253076,84856884,492123461,622314257,667293418,225178426,784815321,917497793,257668865,627928571,936122338,954161688,908198224,542376519,64835017,509819907,59918286,837037758,646564554,610161322,39725718,5920405,90981425,118778082,166764935,281025610,864576952,169264401,80661029,959548482,84561787,430204757,406161961,182442904,524166664,250907368,734209044,450184782,664998723,900872658,212775663,156810902,445136947,53888129,593724904,940952365,961676430,654921262,212433632,123598427,914919615,776561755,574880577,329770150,235454763,956516639,238069495,837950049,387790443,582575429,784546926,843336310,323158530,978927673,274849627,693213033,276444121,695634700,553419910,352344236,115123159,561286001,450849699,764258746,688900337,919694336,93831335,7871929,446252570,265539885,663999910,769666319,412493231,10275649,185928089,574447495,746936443,655387690,225621260,33626325,537046001,461141994,211694884,36147225,961358753,646629930,941907998,80903034,227738374,942820193,382080750,460359487,495374877,93447711,384645003,689172601,186717547,367563199,836020663,565502006,369499083,917111870,127629536,432796675,211863243,470057627,694288694,68193476,529978529,678985771,399488719,783649245,212378386,10387746,768076633,100232004,773439854,126917990,115998412,387479229,49107686,271021538,636228886,702710050,712029214,739195587,594501397,675502851,469411023,283507488,273526398,769055306,244556051,823989136,407381796,33036596,355954559,468952495,101297912,881399567,549557262,101573349,541712929,685921078,204701566,436728694,759817136,47202490,365296404,533527126,242574687,894711498,924049819,142093212,328176832,593796832,124040798,602654682,699984559,412880968,534776659,341864782,707944727,359392061,374098408,486575505,994993113,932557553,417725805,336306419,545689959,717391394,5705780,265765397,988265621,148287949,62442428,892605647,613745851,991785191,893459725,172459006,386532532,321047614,6517013,763915066,328865461,931618436,745183281,580651289,438015163,873222862,153689432,206243193,371274775,13017962,726042315,472846824,322966085,510494186,902876859,254754455,989285734,23483477,268887377,593211259,659933490,49642522,81939300,544224714,291051668,543219767,644223891,557542236,869657383,940850797,234589148,556539940,295197135,299266676,577686735,747831278,519598055,229059773,887253905,939814024,493700319,421549615,435954622,48167750,5952188,887799848,951265088,327200808,575622586,615518021,622005824,119059442,496765334,979002929,943120749,836865184,227278378,175379652,399069461,397890881,944097169,664147870,642565020,377836838,885048100,212073339,303999642,200755308,218517362,472163525,915622075,91964324,497502683,849685724,214264421,175058029,729010692,138789040,990012706,433491235,479732408,712153728,785782718,932351375,204165321,655861192,904175587,291404946,706845618,169987847,515890838,227988628,751864658,898249038,375479886,716138752,889965976,590641898,138984012,862451486,504252900,977406538,777840490,568923699,502211323,5550779,510745557,212082544,776654790,512686930,639636802,862788235,318813593,572440710,644831119,556576240,844625550,15662194,481579661,506396828,448987712,266421942,452336934,961477447,44102481,140273548,241238346,534969733,673666200,203528849,128559262,401816342,588784901,752332485,872611583,932530246,598749703,581320532,68732116,63677622,50462933,46806666,715359964,510680941,921229751,832510269,658621337,520673825,638016323,67912424,99547707,607043762,682447997,333651622,982779610,914062605,351302057,729706237,765288893,495528358,788465749,882930574,695809664,413949152,653296740,352827969,99552102,895885315,380502346,354390084,996868665,950106346,426025635,832873877,766631445,4453745,312322491,905463216,893378510,284228791,58489502,359291975,905447857,624922154,773689566,149009423,168666334,978327568,645790579,529625544,88185820,40737156,3003036,111849464,919428477,509357675,718158179,919703100,22982600,296339876,584292476,237319205,881355437,431765876,548508856,793408317,944615471,467971902,754611636,157710013,480065675,295707019,225090712,800872156,248109913,930750674,100040376,869150602,59008290,732862698,255954333,574024659,807951584,281664871,297439574,971410429,305393269,931683700,473304327,893586888,107551136,300170552,480861732,735518053,479924427,183083170,393314671,990541996,953811123,73999066,157098641,624145443,246599345,735724238,808076080,897850144,137843217,228500680,721391227,442033784,958742400,203803262,325610604,727158796,418595061,502820325,444780191,643992188,111921352,180815322,690015439,541674973,625855711,4431222,593354606,695629644,755795480,948716964,515854804,136048729,872376767,57165617,928579393,631886469,791528858,786331026,118881650,460505116,79735947,318517981,970235017,859577385,849326222,761997296,407218062,940053427,424028639,4334474,123696761,350723574,834277957,138178517,744068153,174699396,675641095,308471254,157178105,644114959,4879829,601424266,839728221,569478504,28503202,115698645,922494475,553910558,656487342,66292765,64015684,70840226,998292320,844094342,552851024,433879996,731281676,368025205,876582833,7764751,278689124,525468401,875517236,818300624,218578725,297658962,859833697,37451953,341849396,688582269,119491177,680297318,289498012,565708780,361104633,833086445,904588969,522692179,251930191,707914813,219138410,632801950,80243463,257131548,382679769,812228450,771083905,427562878,130317278,44431534,266440573,618361621,68481604,621314695,47568868,667312411,466842055,461159596,524482792,438293462,252493161,547379658,541894260,732181840,526932855,216141216,558725237,578084620,457520135,192563358,365758860,729898262,464635341,323912290,793526714,356283194,806809822,164597654,385396619,735975399,791573496,883936525,942901881,910291268,316961366,497183215,879154980,18123103,732431816,69869305,916910881,254865372,939878303,627814787,348490126,713405971,639419729,837276173,899022105,169843100,124833444,526928727,363709837,226559697,584416400,350880701,886061118,238487357,881677073,454706952,519423653,493531449,590008280,424528930,93485529,673526337,332017718,177311403,413680485,610537350,276038599,411706943,873517334,266952368,222988376,840864888,825793803,888270982,618458696,222772848,266301442,443123172,650172208,905908030,320618589,349242455,370304269,81079933,458349642,830833476,986868896,650877118,283634297,882186640,937139985,630821074,213586555,78288765,405040616,975711864,275940919,804000556,243169391,924988637,83943360,55263861,679702325,55884361,776000754,430230621,895456092,204448518,527639705,461148089,246009583,110011444,819284534,341436217,542702463,368430591,20837376,717550134,202356060,540629826,128341783,434358202,99782926,313984572,977445012,418870559,48886291,224413689,683413990,725742420,46369693,161795291,63119264,909134264,505959229,834657553,502816339,636378955,62013618,740703946,132495418,78026618,676512806,827413136,359951465,747793075,536867316,462799169,820263374,578238114,256377788,763910767,819541349,268899364,959345974,646877159,414631065,65341594,155277273,813492765,694379162,935639748,288969264,656741331,460923572,167975035,737702017,900891546,772397047,472009695,900779964,220419076,403222106,947621345,186420067,473233131,925288141,91057645,810519380,396002722,214352706,299671683,7151931,928830411,122224679,965059840,686154804,342905383,975726646,56415548,41620279,937919246,213560412,62185083,999677490,494979843,413960258,115756135,492553224,524240568,631621415,277391545,459940418,689170329,284166238,625687690,296033942,57296896,162603034,414660566,61979657,252095261,987081390,85160619,821688080,706806111,164273089,913025027,73016406,633905749,104647238,822584948,609932786,399211256,467796275,280885218,51444380,958315367,482996521,171852395,271535765,139329910,600210534,330036565,369325150,374288494,181009456,998950153,341712313,901914490,754282166,798955196,691167751,710692043,210153888,683300487,463372175,953898013,923787318,168894396,917691148,364137082,216204484,397976522,215182485,66782943,926439009,863320620,930326372,204745116,111529907,652903570,235600891,529315701,735351269,440280318,856129194,346240756,461142265,954885576,252212516,494859564,18252394,697048861,604038253,700585924,111464052,772003503,508764573,744461014,498194730,192607077,59014459,252726994,444875440,895561989,364765282,122763089,296380657,708431098,70029521,784406828,965752415,393463064,448634990,62529564,179442073,697680816,280770236,588425868,459949243,609401396,405381024,108676586,251651928,71854382,540292012,406745450,494548588,480473512,490311952,156849868,56851966,876192476,583636209,31580401,723786044,420421459,249267948,373183846,500132820,650928808,370649206,4957740,817081885,499890236,938184233,353246393,795521059,781798177,76004630,665927282,116385909,777035354,975828901,333639193,710839127,861608113,691188115,449093713,198955798,331442777,23341620,425004840,418908931,369054877,778624723,121621090,196836658,189717906,80004680,382851612,518327869,376811770,429464571,753600420,467779552,158772213,773311050,643621064,450224496,571537341,313607706,171265985,332946220,40192530,280359633,590010725,433196885,768913760,514731011,491723065,476451660,892432132,115423475,463917545,722189036,385693403,743437116,510331629,14200148,586808507,369926119,442381074,665205813,852036598,362580290,301624232,344146079,240517067,506850346,726396608,749746203,585210702,164581525,553353225,636655656,856476935,182963029,874282120,605443271,70079119,595545509,535256983,284379026,194278783,155954826,79156837,207733775,257226120,306109780,114930835,993927157,445113153,916699238,408571174,692104553,890472899,287977210,492923516,313351616,574931743,123828145,126038280,952942697,154926875,215392862,962636104,792592391,867420576,772566430,343796377,944327292,917631669,941743080,580458101,626767564,60667043,303696728,163173580,105376459,223085301,134147597,805526319,597678708,508275676,550971728,741485076,630288688,999959099,644135653,306694135,650089660,481531597,879447963,29798766,668869840,716640393,195611051,548790237,201467479,324083474,750434048,466752138,266737461,244413667,895685670,832398579,959158647,315484542,321277731,153834493,484278430,516506539,756272074,307437792,680894127,873232577,348409375,365924454,230497815,870640109,246289828,377816704,50401191,96489057,352049463,816668093,10241209,759982080,283198305,341623527,786239615,976339601,251209009,201502676,836623043,477105240,573567639,823734383,902433386,360646602,617810974,69894342,839965842,41526833,350967152,836619174,404723997,939156721,972018230,285599318,947371776,465399025,60749986,183940662,216537699,534120469,122598516,495470097,709028289,216717789,70268480,990936982,777553074,787344075,184022448,32194494,570215090,952124515,496548787,67827971,750286453,331416370,914571613,443220164,345585511,275183237,548164867,618671830,448006778,26922112,638465674,658372151,218162064,71861337,418494918,373580448,441538182,25197456,428617719,327359659,786141098,199357039,291628709,724531365,175653246,200219524,190346582,713644324,250472405,126779823,976930012,161327001,445870296,68395385,921090469,543120269,564029886,332899960,929636136,840174534,849142793,554057826,561070101,839105154,897524003,945926415,552268877,399520367,631118031,972303672,398719234,65094440,770591899,681985616,504722760,134546445,323833377,922028817,986696610,872840424,109029801,859591417,86959283,495334232,538905226,567910125,959404125,957973903,292951378,438216158,490267170,875511373,835958362,768222525,137793698,367350187,524460436,20607206,526642120,467437025,562688367,161899453,731786549,976607553,605494158,381433095,574132709,469278264,982482335,142876152,895230683,943225518,189338498,965772079,152606469,296363955,724670356,912314485,260603793,983075145,108785951,508067371,974104727,757033131,47173310,664152821,232774320,257816407,906639417,218027397,40484081,139745142,328568553,848017594,719196784,656156307,186502247,346514626,326492481,320073786,560144498,140248345,858550219,973599894,219249921,21044390,670577263,413784229,629671095,682135776,474711026,6005323,765436990,885721272,738549208,420151591,602566315,658609692,919528692,853127508,317258812,485580638,727757853,718091994,399410229,34652787,322379807,700819777,909073242,331975559,664268994,931553147,653395789,769020407,780900410,11025660,227818113,484139613,432959142,88997020,543221710,321408644,801196849,728574470,402490877,918246521,691370613,214028968,959647728,464842213,663373800,274559847,757987769,983186324,501975515,927224479,231005399,586677353,45782049,296829649,678856162,95858032,635221956,551199915,841555778,449289242,608138582,72660505,798077801,224205948,480472978,460628756,443412624,357975082,429510570,293607334,855470494,968254758,261952854,182981974,314777143,240740675,362126319,824482246,687609476,337694804,817412346,969979718,270606990,655352311,500315719,648058595,972127231,155445550,525365118,928728931,497758841,134605705,561755786,834677085,200384731,589593068,499259289,541812393,775551519,202487900,222519852,439129086,797079090,100051539,886645741,433763923,312743293,955210161,684615865,369875521,256393581,675913695,282625300,768934543,4417206,163763541,756102252,637937470,417967485,791796288,961180390,186606235,935960413,682638268,50924304,3933807,256092067,1366342,464017715,334171124,645178173,426345309,801174697,232188148,197147039,616305550,721874668,652739245,874618374,651628291,791203369,534887119,875802619,431491374,141165871,749324203,51196948,841530975,446225699,689143256,863641109,793692858,984994617,953639216,146526507,434889113,255992444,599190496,342791457,111341359,794594069,783834095,460721056,206877888,652932992,434812772,562546831,965269982,389936314,232534079,359743296,949731858,575462856,79244676,722087397,588769984,84449803,151369284,475800445,236644539,312581742,568136381,465892994,667320419,489544218,332188376,531164474,695283343,351614460,922207162,390237027,152348348,266270570,982775041,684318822,788235919,775907819,484576791,506562958,206543270,358542787,538415426,945693360,121434455,200818592,194753870,10520769,628607690,285205795,643296214,936346845,685268856,812895569,142342149,80798203,151301972,728027806,78155076,890317439,458796325,734671262,503973961,899634035,581928668,920317014,19070499,912396186,817753676,895895365,291904051,11751454,673372922,309154079,16844291,266583100,366343257,997329675,557494192,601448346,22511813,384017767,814119384,397443100,956954416,357421734,180949593,730321001,736214400,283578618,785673587,482342682,896703341,594723969,767724024,626839595,15107764,150208408,245615218,943700230,128933319,661429486,485396310,166989113,799703074,672875441,588684495,879352949,805347612,848074654,701595869,678273878,415168061,636289299,770514626,873856739,452061571,19493776,648876986,29585257,964838142,490308806,519898295,664345035,90966790,270310110,162228522,587995622,290733306,14584422,20758521,279102929,755033255,745216,822224178,38602452,313638057,497860940,910789932,858545326,599629104,986773090,70566495,654513257,9090310,24851194,847415795,81074957,495909556,452057592,674304556,291720689,493730442,83631688,323093331,951201546,832843092,16449382,489301078,630671871,381475960,883033149,602870578,747509890,692345830,874799323,905922865,798861771,256224501,30942935,652884405,288178489,632838431,495575275,478641872,58556155,568021944,986904513,463850961,770470942,2326362,375980481,948623405,907456838,614333368,790158070,903469461,191497204,918905991,969339255,212828402,152336227,70570967,279490161,574443642,334323107,59455531,352579544,107569391,856342642,552729520,289272886,597136898,355445342,519459776,215040700,866093004,895544993,682682822,166793107,859943628,202998679,347803721,456269304,447675345,563398777,432870151,719846469,267480088,901105877,981178328,875907128,759821478,398979763,430449941,749448655,141853137,365919660,453043675,655490084,829066270,476333844,655776598,991324506,220109239,853649590,692526508,887634313,741171437,399884955,54594303,776356237,208197577,526444339,120758200,540818605,810037417,704105542,814069257,355709088,386294256,623696136,787053297,473910994,350501450,185226395,915584265,698732034,379422619,995399067,132458880,440713975,943276396,206473781,828887956,856715140,439552026,641805196,880255083,787108519,461551515,763649557,282797221,560748040,466311501,298630537,387865656,452477152,118231865,324202402,256469861,496314313,696304588,596026258,174715864,639004751,243009454,666630087,520403727,267033748,348057792,684973082,507619261,914749136,379371808,538169520,145498560,336700401,585359835,354424664,195997239,171819890,637011823,230041494,232064374,496844790,83775907,330850834,826199752,775186436,788221721,728907966,809123422,438890988,281574878,339314727,424619606,644923795,565065506,517990277,54848275,343874973,723338410,713049027,766985311,932473378,578696185,689350884,352272734,440409016,858117263,113789611,671021911,312751005,217866827,660207492,282054823,862756473,477128923,348654750,982862467,993589270,100088473,614342573,367547699,924825284,306685823,290002644,451994141,554454797,260616847,382132816,456829770,257982752,252652600,806931226,14460290,27044588,254201711,621468797,120911975,25974614,735618204,819183427,393716266,778148217,761992460,269301138,239332957,862448948,153746569,985806327,739288094,437389534,506602262,641220760,86775938,703675679,296318354,25576991,777575852,303064074,15143586,829980917,237447739,554589218,604371189,234331940,832498931,91973940,211484865,161172571,852053011,382453869,984189448,94480683,868761452,965479009,591664967,181967024,451090090,942505492,893319038,319364456,870461452,694507177,342084890,165249536,572205981,618246587,960284116,356594950,681944367,545386101,148672141,948262533,493205113,642025803,719929652,259833886,296829777,668993367,979474244,663309934,915875025,717555741,176772730,466964330,972916374,824655995,612222356,716184918,234690425,667093229,679182069,180829615,717232235,619374456,665344420,160475692,937173092,451290265,698847830,895656770,285784355,112904809,742141419,409486875,54165492,756609185,790767975,293671891,133640718,98137931,687153752,910153839,644113458,308922925,754291746,80024014,993188150,918545260,349731602,810253861,745418011,532093722,747670870,67994161,220139902,288024810,442889032,35745642,780208764,907437674,526965944,830445472,141102296,909407529,370468571,288428484,425262669,835500738,340947250,617106209,453766252,147290103,309208524,332519526,217380476,456094364,961476614,785146497,433104183,810500946,697196408,222016721,147735923,779356685,688949090,465142709,220915609,685394997,161586723,141735279,408633910,619062152,149043031,806042480,660808891,582091844,646261242,618410,740620670,962921007,829708339,177198287,139185645,154934116,332869410,183514809,526354280,274846633,478956333,575369483,412617216,762659844,722807424,244498257,983662712,222669348,330300989,960741756,116892145,45668480,100495268,847769746,494018865,381441083,817391339,433829954,712234932,761222177,502561548,912690545,674823643,523130346,104734318,756094088,966291985,347489277,338249913,512446119,504165240,725451021,375782135,532188835,597791956,524551474,794084051,130320774,114096078,104709907,622904041,805547514,324740492,113123319,412448521,985929814,599419106,54523901,392607608,334282936,114951791,319570576,114194945,973841894,110652161,550742457,47101653,31963195,628611906,589911586,62634234,850782871,708904817,150921320,652258459,873572484,110807640,79152626,911367464,83094153,591488090,423908202,568049872,198075196,406291820,393725215,76936961,852595018,275384059,834837226,125331771,262797990,385918415,338816150,575452759,474690548,362504677,781861903,542905832,385993371,489248163,509536466,507287103,186735314,145215553,605739580,728758128,709374407,836589511,211580448,122272610,114297439,678603469,941159335,697220322,585440651,161749105,585554105,363462453,699715191,447758073,636499310,703033249,228473291,609798502,34543524,520590068,632522248,225318501,81713709,939956662,109626249,159321616,220515110,35495444,704569366,66063165,994434197,735686974,30716684,32954171,986472967,198804786,859626549,481893714,311966788,770108148,451832145,312435714,878224469,402594670,516480149,340812188,577849333,335531648,790139766,575501144,20074617,693724053,293167754,994919211,562869025,129507452,191508034,870140753,56047313,551527979,61811968,285584627,33328593,462143193,901711239,3839049,962126371,259631790,405445156,297490662,392481940,411257565,187185138,996829915,492290409,669966383,333203453,459724269,482575491,582581997,371432063,199729181,686069763,346314071,123050611,824480188,124499439,52650978,865353273,368261485,24881613,701073088,319396489,691586765,475223909,74390366,536846112,53188786,644836271,102647120,709925049,356548252,451394681,360599504,951361826,245839023,942496219,483222776,706656261,820791317,449952553,499595817,753182741,347880611,356634204,10947438,208774870,58285304,951951122,400037059,448747179,876799362,147248073,141085814,464599129,742551144,836909331,637893993,101913891,65191905,849792775,291880390,460106495,304559476,118000142,611710666,924371587,366362349,443323059,914115465,425005507,981649320,372635212,994298926,539047597,262107893,922385333,949858349,887666526,498908797,605729185,784240505,636668015,462637665,234550184,769406235,424127482,117337155,522245458,371562589,758980106,553980108,654971621,158352645,652259175,216475488,140669367,511115279,979731055,621833914,216514877,384527840,803977341,773637396,850852054,133961208,747442541,898880329,252813859,454621418,274597410,814783839,549559897,631866532,947147293,948674252,777472383,387054676,350660752,761702649,567338215,800109996,501383763,811565590,604491446,847086148,373961812,303856435,421941343,121961547,121435845,410907267,509785496,129476736,360258087,997029164,977136416,993394682,772195655,995805856,210091480,882440865,869958583,646418209,794445433,658889317,60588184,418328386,173168950,441713771,290736346,531750748,583633900,933808685,859091239,567272467,759986416,785408863,524678137,107332495,30422453,728573456,816993795,764397388,308564842,876089984,233551342,272116690,930299041,298330392,123869734,741467716,429249455,984033974,464817166,791891684,191861567,869014641,483754025,311166741,706556279,540518185,695648979,206751882,396165815,233497442,683437999,333662510,616775865,55940155,798395972,930678403,395181145,672225788,626992343,436889747,763923595,212775405,566686494,730397262,564022261,178705456,657438131,87501909,792957293,836034789,361846090,904333724,522625684,559783354,869207131,788538582,213619928,609395192,186450494,26706188,679586871,83492727,163871449,710423073,664433227,69205703,522681821,700923645,387703912,419031468,29219236,23209141,324244938,37099744,973228873,634520576,447333475,234800459,239398804,144794143,637869225,515844524,434016146,511187955,333423311,526530832,625279823,14912588,646542549,717481168,629496324,766403512,780831286,840217857,89465628,707233106,918416363,494617348,446573192,713470002,350904868,347316307,57765669,384351095,315880156,974218818,124665201,992529014,249590592,534815596,652290538,181244168,61922092,220008911,142026713,671092873,264498505,370482242,90771651,243723750,162431447,945747403,94796884,768018322,299081104,96473894,763302232,971543940,673869773,559952396,789325112,95166449,434535304,438372342,363201109,334251004,485947993,878883605,133526893,528450084,99168212,744589478,741568127,449792404,354164562,40375492,12209993,580102196,666777832,602474072,647948735,3737829,147751414,773040052,182635,108778522,568915043,787584675,427221534,967662863,859404736,230266631,658903434,945692375,255661535,496239450,691548400,501213035,813750059,242880991,165912636,790181666,880996728,212017848,908340205,547639609,263463691,779849829,640234328,824049284,586197647,471645518,47731671,258785732,710305963,737106960,648514728,89873066,955517360,484847967,136349155,671550111,580228564,395546022,570672797,34634363,138563209,719364670,640889735,116493170,330553164,717593690,355072441,646996537,736409429,304536937,875603171,77805015,504975955,683775571,692648974,477580255,366324434,511575072,36026935,809105316,817485841,234840687,645176348,853771063,889540726,847587287,567830097,990398070,815594002,352345377,634786219,845537276,659902974,359850463,166696237,475113038,597847681,774721580,30447849,175151725,386305283,105842088,353309986,95389262,171545547,51207066,191166182,787880404,455287580,267619981,282034206,269376442,221163451,208675253,663939410,769908950,834433364,157200475,94759224,382417222,364239941,680674440,754315499,607778236,713645524,650672991,510334190,786557448,364273855,726680164,909368723,295084039,618114773,439717409,633683677,779824559,311910934,794023712,307373674,975777204,926957112,252941124,50785573,804610625,936024143,705328323,991314868,528547958,343660251,57593422,505592441,522268011,547220080,712567970,739742375,442367986,703320003,749052,862516731,697482480,129123574,590728461,192436162,244354341,828083514,505729759,904177423,345528039,843301940,413327598,932714483,669800361,955133641,489903817,817074185,358601003,483195784,923673205,391658391,283769408,209311898,856254367,242619884,90972439,412945641,552117048,651886848,49875272,31570335,877251409,286999934,161043476,802271788,326931455,273539194,660160574,220970713,674741825,387720355,432281800,387052952,797462016,49722665,436339396,222114119,982585945,360430469,934968789,588763803,882675316,775036124,762141334,933932690,576682023,390897809,631623102,421385443,434248004,448125977,717347107,780680535,313021007,387921582,868018649,598269016,490296397,321265565,371399758,158087230,525243790,750147076,601180268,309118558,784521765,731221411,664426633,340178558,393941174,259335550,76125688,587457648,674636782,123412327,399726106,921994469,828178616,572432397,193730690,330983783,713409071,513426450,159876201,279435206,351228360,19275485,4304357,998772866,838943729,856735371,435789540,516057022,675194557,897705543,699456612,205806469,471189932,141309408,403507488,670074850,805910406,689293018,823221446,505447323,529813038,429023104,920854026,306871270,108533993,999305227,106501390,938604520,965434359,61692357,502421129,302512105,331560305,714479111,50864708,729153386,253918335,924697082,618477059,495415637,829388280,135160856,402771852,363253716,711462222,342755251,708128827,423711621,616603415,802258255,503073010,591805583,38656846,661322254,487132366,445721197,151427089,285076788,972628857,213289251,255591922,721641107,318923207,76595837,718208841,954871546,791534258,365799610,848691661,247126248,461966489,859010425,811370238,472755146,996242458,513906148,711807449,54620974,298083624,420486212,489082405,282057687,781017210,604954060,489102895,430605036,836465866,679404718,615443582,203079310,332917684,51245717,204650604,88067932,742769054,123904803,419039294,830941069,353198418,763346293,197230926,98376231,313123934,245553527,410841865,803079104,526696748,839866137,796758677,287063695,949846236,280518386,50892702,790234746,766085814,835642842,860820074,239626025,893266648,899558582,228369429,951904893,286558101,4441901,706962712,23363669,917928297,239808199,521156244,303337947,710896143,458430964,819070982,569208530,973490399,358571557,514845948,998041851,429880334,151579152,583697355,443392308,200974585,907679799,324840308,799222916,749782910,278974195,116185700,831724553,892030259,155043237,711052789,756509318,154838684,313367043,467877714,690160886,264195313,245570771,987956253,663900608,621674438,657099925,973484081,272279171,424127481,200940882,527963458,134374478,48090944,758994160,54006683,348725734,754989485,732886245,539068323,4999465,804015582,262085601,912819551,401164581,549972408,259711981,156918579,67819713,2860541,544413692,268687525,459777126,278608561,50958690,21809282,936296463,811239089,199973616,761078770,722316254,500115719,679162896,381163849,675512751,299986512,536323751,427433484,561497111,103699433,348339397,217002553,534934967,497958696,379682404,872329413,179176950,548855106,35799405,930860742,315749807,834344525,37550344,208769757,536872294,33748932,37439942,593306682,67684710,196206784,115351515,991139841,114072939,818240233,565625601,625095802,977022434,604099737,565218999,473646299,439320491,816015938,631013132,626334419,186400599,882151420,981399434,66803220,393353039,829144641,462542281,640433211,503009605,606908914,825420360,295650246,342304395,789033465,215086700,855420574,131296247,993657577,87514843,382009611,688253913,221869744,128733517,776687996,735520176,271400720,345321372,539682369,787331048,529096126,148141681,690262202,218789225,372898988,508926927,862576544,624765648,260694345,41125454,754571273,977829907,876247028,525039308,130712689,946705074,399322890,171775821,973250829,17890508,289475912,952751767,359690128,161935639,999393894,465129521,158354601,724105866,215680689,355851980,942773758,98935929,144803849,284606955,414896528,433503558,108557301,42143237,578031597,342057903,201923442,246782288,900603515,383319619,516229516,787525200,758462287,439931268,279821553,573032536,154025070,464142181,998431397,308974470,786892252,126168762,379370937,896648525,909465483,374834653,370002361,47532589,996819098,591585621,973864421,607526706,702396132,196838322,744929630,863794782,902315058,615206820,434310129,528075950,518089603,617336853,36094186,183245483,16930329,745132718,93601774,14713868,845506957,296106643,915699119,927276459,659101344,887402252,659580542,170726278,556771164,337259837,192352288,43020394,162901129,84417560,408718049,65679967,375209297,309098306,779129644,822837520,265512127,328259286,27935292,545806242,514797660,736882815,553306784,387120956,407207802,255363472,819180375,407385551,722700999,38411898,592379784,586382632,271642784,159017557,296528475,491687592,201786728,280676076,678794601,852635187,162451953,414863116,721311708,436516355,1178999,861766954,561986646,629639024,442286279,243731837,929665254,418386178,781560318,541822797,697817058,231220914,891615077,918384524,711184425,939184450,107310140,122742854,832094229,121529173,340919545,945921201,430030908,431462707,942632119,523166618,778467777,786254017,691364177,909300008,766191707,641488982,907281837,727723414,739436467,693970169,44074125,911030741,106078522,878561881,137711288,584518700,159024972,177096819,287016287,516715443,836844846,371185033,16379239,665482751,337738038,772545413,718816596,376927706,648830282,963097343,327736411,762318164,946543417,34576269,560686002,580268397,548484296,427902751,302815133,199877298,966115458,523889527,366679991,170583288,504438383,458389772,873804234,163457852,677036288,522010530,648962186,653475565,353069803,193472444,343264989,884524028,284690004,571688077,925462329,773892153,999270592,143942920,799256578,920592757,115366565,875458771,762236727,860865666,956443185,855217228,356322323,750283209,343698327,904836744,872445976,802391322,849413614,439316870,499446666,382870006,654701659,902438931,301712444,568513323,103257806,794959294,468969021,510938210,309391607,546747152,637031744,57779852,836056124,524847918,288018440,297107209,953801745,836933201,564579217,200245564,761848211,201661058,535616489,434305232,587552991,131621621,285704237,555418568,438427205,305140579,345026500,414052839,377017381,347437553,534454741,633516975,297241387,992759648,273227074,258396668,124635619,771665356,483459032,3986571,448173848,627286407,101162590,656977643,988789740,705587064,712439783,282580216,269527473,174719818,192450692,81665048,827602920,901957157,253867285,971444006,963946458,183404941,808894722,148512446,467989853,860333484,287576423,859896385,576535000,58275570,454720632,482560810,676131790,741969582,856837271,148273919,412043906,589386678,660034506,100442320,211084914,741722691,501608998,905136359,473674000,261378343,308260669,737252421,513343871,303420822,377680622,297816455,192703364,86180594,262976151,470593807,766221573,523425597,18369709,582586594,15431546,238417944,298878487,578107427,286902568,407691347,120100474,919717905,403173524,259709695,563377762,954103173,554013203,740661171,866702194,255372010,290701040,813319484,944760258,62161000,575581408,661467622,681748516,230522971,152343446,186785174,91074868,462099824,847274327,970169865,37771633,133096866,59317043,79387510,373048438,40350819,135772408,221143684,814993850,257059509,710605563,725466403,633980993,796634065,158064301,233958291,805891383,979293416,580329628,787262059,633314621,231394192,675461348,938708222,539123600,813498459,199103236,720033974,842461065,54453788,609939687,846846107,649699540,528539586,256630112,664780586,777273222,480716841,468197890,381953298,819932316,459032856,954516687,61716714,577057795,265102803,43249939,992221166,569672702,230453523,940752640,820142267,149279043,75276911,797608117,259355897,409225133,753187712,48702654,336722569,927771529,123890469,922897682,994569163,589527140,601278052,260573311,720357870,166711485,998362029,450033896,127827220,175364305,680385590,570143290,934914880,594057741,205405305,632662725,916002706,493909818,977316382,999347937,65938021,427623801,43442589,117081811,342754821,419143568,287965578,693153874,781041860,627247954,680444978,812797036,175025447,907627796,996432068,461847571,751628028,915010356,343108941,611005078,183083677,485926380,272269316,293063156,204409997,697182210,529853431,435410879,661652009,785829438,6341402,994915770,359720844,122316828,696732072,348164111,960123101,281562239,636471962,582329770,151690646,236261123,918408542,447320894,75511995,698871483,435983619,390437172,139390533,175228271,562068292,340638344,265134365,871007437,181889623,656654194,588182074,446073177,385224938,317508879,492002253,22288029,716595596,888505663,290594241,472521198,202468977,472285703,675321705,494308648,238449968,518373963,597435559,438590785,899202183,56119171,439461682,315768373,612818890,371080469,547282098,300606201,143981703,199248484,513787731,299664997,223805213,679201302,294714474,647997571,443401398,346999732,395000392,684692188,264152919,256858049,175948175,386779384,352346967,689434064,960392355,818854588,97428839,910509047,88596066,868588526,476981223,53258353,240257037,812334135,980616644,56043227,606734079,443226259,583138829,687694044,137689876,291439036,818336807,704806894,424891919,266463815,719299113,744006376,814785471,135633887,733177496,78247204,751650402,306450375,673381582,562259544,706266178,520540233,889153174,170644056,494694193,424345456,820916712,587748270,922466298,829471579,106646698,573779763,947124293,471129852,286420668,706139608,605334642,341523445,444439456,314294864,794722471,840709590,896741938,6175913,464950780,492717917,601196120,73460084,83486540,393934239,228808247,814285361,641290622,763575786,418426888,991665717,910234248,879095686,216033299,693452585,487920739,991478126,731776621,836124411,983511689,970119350,565952492,260660180,466379629,408585797,150122453,624533772,28375586,86769922,207964322,929931104,83079980,521791406,909693144,964092031,254630924,237638256,151413174,488120809,150378657,51487877,947028469,315685109,715652862,980635361,523588016,44824741,730017625,591434610,701113798,730103128,415707599,101409332,353876396,198850418,665632711,482693909,516084758,162103090,695144079,665979495,590955810,923775223,721169338,883529679,740595304,892709399,950614139,75297248,282862842,564393186,275473664,894550957,825765083,352110602,66099804,153476348,45403193,488438243,556943640,760339085,742048164,297199625,714328309,61781913,627797587,56510512,817810275,713808866,580908476,562488369,487994518,79825604,917080314,955746867,828527122,100088772,451872031,154726852,952081214,846983775,309451426,868496750,606893344,143942251,533862662,246123437,379830087,905397028,638857002,487279854,921290830,655604205,955731528,922131916,335767429,575939744,165216627,856969380,299267618,96940553,329230750,374215668,564289494,710375848,632804864,287261323,240101972,281434172,755471750,969789791,521449268,475047117,418723320,334261201,666269923,117665135,830418001,153786364,881510295,776763567,593413455,23321095,936216165,208823522,334526556,535057523,472955044,965896881,835426941,265338622,654860335,212658718,156227112,225830579,920841862,97642954,279322827,597071867,841172676,422931805,232809159,505316937,967089300,483484504,103309439,122191885,411098523,987459320,540692627,344270089,923890182,756264174,429282675,710638310,260500221,452307232,190790846,703351558,826353309,932245433,458718348,440869037,95711352,961050530,612430014,714095832,838654919,833686122,959015882,617132287,591759707,906999256,933221441,414681774,157358069,346768796,873559092,275311548,901399133,491666736,61002846,311519348,540064519,870150750,981897249,906716551,235862751,229640853,830463082,397286167,692133278,957481549,549653033,440077558,788977986,584865906,287106195,475247429,239163926,26780037,424774902,763680185,798166802,525596468,329936229,464958632,552335185,800783620,863015384,693588186,806811423,164402765,485026128,584302578,339284276,234443784,899814044,62801894,122047038,14061882,192416967,716937743,264754244,804417461,157549301,631406999,499038610,238484492,687822551,443460025,249466858,760372310,141706574,708815330,285793087,886740026,503870195,388580988,315699850,784007050,908872184,826480710,291748471,350112169,934068180,982291152,523056729,868858960,534263673,49796801,506577900,776837321,303474624,594791881,369776795,690084556,48404682,967451709,117744449,745203079,401720533,184846091,435815392,533235548,683698742,61429920,109751208,61993444,594544909,215582376,614222383,39079321,769042729,938925663,701472031,473374767,500778991,615698461,583252897,562398639,59244887,299947642,551763428,168075786,116343891,532351958,762391314,859096579,873760453,87831091,172714012,718044495,65589027,745796636,508992133,344301778,571924505,650814952,687683002,854407911,633236124,58273804,15004485,376501697,536860891,32201389,527873894,872541416,645762421,130530668,773235388,218130846,640163770,125554671,700800870,937442264,280623626,596093742,33235938,487866024,401145028,441355449,965234949,834844497,374988036,674694939,427550041,821741851,121483976,692554721,622309477,202812072,970361005,394407121,499186524,449148526,773619312,870774967,460168166,915796113,614369025,103288862,755144645,577684255,363840181,738655687,195474754,548639807,585390587,672922798,438204778,355929949,736839939,474433349,479866518,676532518,705156272,171220251,79393072,143835631,380050591,138963098,696201416,736719187,750288917,690561354,105766936,763322654,762652220,713379299,191503992,397094154,840692497,648409904,7792449,989269389,277374296,554530580,128419401,682746611,918027351,370681349,217935349,534943883,84590635,842316012,200860060,776868523,571609507,547755948,498478911,139292891,542338304,420395549,92549880,534257067,22898025,455377957,174717204,164140555,849989774,123620176,644576441,414066722,729138040,824572432,947834622,180464031,710890653,472271017,613674905,593016128,871038411,399191,190398952,777478367,479111441,248375976,937647836,203604353,489502750,473073985,933424578,702303676,248754071,720356513,745699978,631072955,895742857,779744951,755545125,246730262,280100439,815866078,732049361,329434046,274732383,132580788,320488189,35518717,617905349,559340992,956823223,555161611,632843321,734661996,12015986,778193767,83346726,120626162,245615184,621589550,369104929,738232059,43491660,536420941,978467733,615686312,544896973,738750059,804556770,796618719,287304998,286273513,473665279,748073826,371210278,262526552,182828122,816957295,154390876,801790290,813098697,794577011,80515197,470278221,506059236,436189703,966918479,626572719,245863160,292184347,911921762,773952225,219100443,305614933,740449676,973335512,868851964,576700937,854547821,408855037,578352824,374199105,364339430,415329736,706182885,216151965,654681024,738362851,723023314,385546647,797520396,368285767,907073547,378686891,746058190,469574038,226396615,343991409,855212674,37069095,136037335,512681461,181537820,628788994,154831616,454888241,674796279,997708893,323160762,614452030,886986660,214366572,250248939,838397244,830171495,496872500,470276641,367104959,370239443,459262182,147657407,561343399,613019485,770594008,481902937,839536177,700971153,577567232,498919850,152535211,936202494,217615955,662842516,737595672,418881311,492201555,760533546,592786185,374367012,800635234,552962428,910501877,601250324,221993220,173553811,504954057,163235665,526210927,917425152,94916067,946711251,316396976,642635578,706873873,604515209,105376410,401438596,829951653,933144992,675313252,924657052,588707748,235916715,991979999,562613924,929048842,641934737,312790544,894788696,895646083,482784340,90672080,342929734,548608281,572932609,547998283,558911653,27209108,876357712,462839669,726714504,102651069,327120614,49479217,728506248,382596010,457480722,769893166,764179563,700251204,435379075,636429166,905778713,43770334,679374076,323322269,687494366,998107963,271564500,990515627,308231711,628837893,896128917,843320208,382870887,264714357,85139429,140348119,578631147,354538822,4048335,210195764,629062578,387641628,221676559,347311946,298561879,409653590,106542022,405292117,986894746,747645365,640572775,365361789,839032085,346573067,230133271,850199492,685088021,255108698,201707868,652329975,340873078,579521357,939530378,797875742,173243649,518461988,773598598,167654640,891350609,420109056,241438267,965409057,846322747,255442642,293168890,477309059,214401933,151575989,999686802,671438292,403217671,279827496,773686537,624924847,864109687,498835900,526181526,424562823,370132077,958021142,619361621,689926739,914945229,275722006,451459162,505418695,786306709,788057705,399418096,327174521,995846504,848399330,366626143,892714067,784665677,796982979,963692215,838644547,250909301,215607524,209425645,33637024,487570401,944090701,236637806,261742033,961465464,20203639,943989676,404364187,21084007,937641771,988076060,23371151,544545664,77781758,754681749,67622818,635418340,866612061,140485141,191154401,636846662,190714451,2452550,65681144,196385762,285441348,616432652,105624619,656991385,633956222,430353799,80240626,934954835,80890200,198959226,635493068,819089308,605896178,485714928,241218845,722625242,371366260,792131562,655871913,791038563,190839385,864979334,430678910,847052480,802288291,773241783,993873579,57439035,343400372,368124417,754096227,371522658,975032317,449630689,909454111,690107781,814417687,144781229,115784844,285248427,198444196,789288102,668831166,309150763,443360455,109485013,680025273,62376392,311141990,743072586,667526187,30578159,994643860,74715494,212887928,148237342,760203288,745330428,196606693,987754525,437758794,404891190,937507260,613065375,102070911,15229914,151328645,838102532,236232220,191519346,429042201,478285367,772631417,20458334,940311693,276518589,477835738,246283514,97074812,88734161,92759848,991820124,102495961,314093431,661353111,971206438,812007547,414036725,482045967,154771634,811610519,952305795,801942713,198903183,399949626,353840075,584403139,466768740,947602240,127701071,252170247,211629586,347497091,752980204,558608593,234034966,680793786,434144943,57958290,606329832,353435816,9006563,894976813,295976637,334004455,267514398,656565280,364751667,59398178,455763576,44453277,863027875,477682748,839601955,141301828,711649616,754187159,77493080,766826490,168228087,307978046,621514422,7206479,623736142,597169952,955865176,32435835,34354190,633256567,979190122,788668453,957222349,950409696,864639486,745587234,45990883,553811285,230963018,648629578,615339344,594159037,113687207,482272232,119558572,21751453,742704770,199786164,734535653,605823319,731709787,74619403,538943114,409357894,649600862,253730538,562013278,274455824,517429287,783469245,711357188,749042768,883933280,173351592,686265159,975352470,156354564,485077778,807096668,966395511,782080199,854068023,96785181,745293616,851404128,544373979,680728077,447380400,820657423,267073584,266317815,928059589,637387117,803875836,840953589,175337463,725246466,595325250,7932068,319641824,358185802,444374662,522445087,883315649,438792029,822661433,363196247,109490145,353379694,932549278,911392589,890158943,400901370,278910050,934345056,288086163,447397669,529673002,303391581,642684909,510436052,2452068,783500104,213898837,163176819,935512293,110894216,387421793,689705100,716631432,641549776,216267831,919877366,372224659,873288035,583939456,38472254,904887784,127864388,645092081,822067636,63285009,356798095,459607521,838805039,632339124,1468712,345603638,297307149,894899100,409565086,312052073,351531128,967631542,862708378,4221787,489024187,460792097,425122296,701036372,169239436,494768730,703596537,67385173,25248935,240309742,976449435,715850128,546273897,398650009,604461635,892550973,880573467,357826380,267726812,119458518,130031115,479147030,259399620,713683481,612300755,160183579,40526590,347305188,912364449,974932502,350439057,883625829,56311945,737304420,809564853,159316934,227438176,20647206,736826475,295440742,329147913,96605533,335614883,809573801,192244507,13358584,860718084,770359743,820901900,592243826,452370547,508411417,797887629,50959861,164955685,970419576,464568409,94330999,136983671,414676345,9144979,94703430,483891575,616654624,83233019,545654569,737001285,912502644,80498787,799357849,526498057,506040441,994825342,457032474,707597693,454376690,149429459,565710807,897185101,879503398,481909735,804884057,785716323,217013060,509816336,314556963,861767112,193288261,629364344,491583266,168127655,254813330,780232306,426954772,842167237,274682856,166632736,499420123,839558997,424382775,975315411,938344038,841052896,652860952,900218636,520999118,963747491,643594968,553093268,112618230,735427407,443546203,719741168,258681933,741408560,610184494,81265557,401012702,282621574,143498856,126869200,657407790,24582852,520490498,937823245,852778650,254141537,422310951,477771511,246330956,510450387,162542121,717534495,656062648,139109222,382246983,504158742,756828196,992001664,422351855,40593011,912911695,788733754,568072556,798263339,468221402,604627699,745571081,54329265,224379249,16978652,158477961,866341527,754286691,571870407,61292560,580928799,809666583,653411711,711680418,739784545,461402203,962552564,700932188,755151248,872691290,271840409,144059653,580569000,934252118,947047882,821841106,867633537,57681533,411543269,249593245,151495692,376176671,937687912,400555785,177861240,144494917,268959441,173539479,447521749,191842288,580573710,546342650,134134906,244680700,283203045,498510458,140316864,81467865,873366708,919734154,612221827,119355976,856832903,722595998,512198518,199039326,640300177,516620263,417863209,480229147,956452607,839727306,285531294,36604378,860114927,318377287,418197852,993840005,566446195,975488721,341189208,627622333,73667105,464333402,193258587,166718377,70390886,174373372,838006823,765809563,665977461,187569982,30626304,494538736,949703767,778590642,949922871,946869598,915027418,314072286,624427031,942500740,359490187,81239799,759086484,367325823,161645554,785936762,51373534,326110723,374272050,391202444,876225223,935860883,231896403,671607089,110891714,373375991,445458918,528993496,561880223,450846125,925988030,138344035,997994271,65031049,96349637,660572156,555040750,590393181,322762122,415009817,148320367,158407900,952772042,902890867,551586489,940862323,843626195,962771051,603844712,666644326,374393081,225191373,21278118,57386114,15140219,925951430,46335618,843157187,141149602,64428558,702979676,885069899,529192389,483243507,117237608,714026187,145750521,852396971,37046850,94767189,895445330,799740360,812901332,958582623,184907230,922115856,590526681,703230716,395789462,441477394,759258463,440258385,787725935,291746238,613189069,702923233,377404410,139677013,365998506,961256380,435969706,483317906,158209065,546566001,358204651,853426092,30055646,457226199,358745433,724856586,768422809,330854873,641213220,153942009,324250109,668924536,680109154,93539740,748750542,473539826,622399647,334242246,992224325,200315414,259639188,989705347,402103029,804780574,636010559,708225532,669232369,314089962,507265996,600357636,316063262,116158340,429456680,444212202,438217929,63128353,614818178,692242563,687965372,228819513,510121221,75637643,665214406,397996304,500153638,897529117,915367161,240130894,22520695,276334604,926866979,833784214,835016554,476286293,628585804,410231549,576603884,249007509,839417781,294019159,916456143,175813045,760308398,404844998,68542135,840809673,172275336,103261200,23025111,538492775,513109566,241547863,674047362,679548637,265080891,633168424,126774711,734752569,170848240,497095257,96371763,738029873,758523862,271415853,544068378,154316107,794368872,303347802,635748311,962265781,887943502,516515780,239200770,971160216,773593886,928853698,535568036,492062707,220549273,498493675,701574495,161915236,637896528,313891535,581291887,556719290,382376434,823465065,831466080,500852666,842344037,790340698,21438197,656656513,750827842,377921990,528448648,141186589,728260145,670905000,715038227,342286047,966812948,144222298,381418312,68520645,563380281,415273682,15968827,161719865,879505908,873922562,877273358,580569983,848449682,2933244,749962741,460763502,311975615,439897065,764334511,683861148,8292504,107872849,826696138,692316819,121112593,975731494,335653947,815347480,660142649,43470078,205605,282176925,359873050,164584845,884131957,432446292,901674386,651654039,749098753,342301452,706262918,608352415,886486860,491619783,809670994,872524327,104816938,130964085,813355555,329442769,524781751,219965172,927595292,532647614,564947160,998086084,18937753,763726301,683175891,858516715,995702899,745889716,100792706,153506115,76372012,521483360,283086731,89611203,31617480,55198557,57549565,563808949,510553989,391500258,768943379,368518150,221290077,376202603,93375738,750648536,284354217,696136947,906544910,96760498,569201202,259008825,918587463,20558580,499952315,753891858,541627501,487667754,38885217,262145767,278674949,756776636,319106163,923211243,530026639,677064147,565683731,947684540,266200076,663528978,573292238,382006151,335140847,793845484,545746510,187456754,467016637,600234337,187123381,160403629,934170495,912361201,366042499,189110624,33666388,416863358,801158790,829543675,592334777,375418405,683880490,654654841,118432309,521899517,726161014,229011746,297748395,897545731,382840394,629694251,443021378,567238633,288873026,560698793,327517991,886367713,378003544,383172707,896538270,9976827,115073944,661040601,1376214,430212374,439554922,770063953,781526973,350187526,316400295,933378979,173428392,262426035,814450884,488592999,802921356,221797502,880801229,603392271,670842584,65877096,340617684,923083754,600896996,500098312,426140053,393785614,257907088,828850091,818442606,963762160,410929983,811570332,508120875,405539468,100437182,744662122,153380559,864870412,58466468,337220478,738511746,437008022,956113934,348852466,312113653,486834025,128203511,779770707,524093989,905862155,348270395,124027670,915430171,869326758,533964402,384214658,12824386,857541496,893583526,533843669,712768911,585056314,170458971,347630829,365297078,245687659,725292124,570426642,502767304,312821347,684515905,897139355,331215829,456806754,979563309,267837444,32074166,953439926,179433136,337659,258923251,751468537,49261334,213184347,149833786,963697446,417230731,382390474,764915020,530971612,121578345,366107679,455485684,232745,442778923,860910116,279080880,813505583,264563813,665952988,717083102,882762138,510974399,104640958,952493644,799244598,330081359,805585320,791298005,952554773,481269664,923096590,83426659,693545303,800841792,971740416,908456240,67985876,384318581,260427096,237090946,496763022,573031847,412631414,418431934,51781292,161496048,449227243,496618823,355104383,174734589,238432978,285620255,866037537,291950751,757735661,159768,721945339,521974809,207984283,653131249,431783819,9723667,680998321,823036050,900965529,110295829,830246963,855896506,218850696,494427170,972685249,837918661,53344095,689279273,224556043,473558953,862935210,674853974,910603311,538269987,399910239,18796429,431634118,91449448,921583915,794506749,653538576,117651110,418552700,85476135,147755682,281669879,670747565,823145331,308077421,511523823,598235260,412239799,88131960,884781840,186110047,375904515,849310765,868341235,130290395,315113507,892225624,534644521,343073463,451976860,497962034,408165227,441903747,573040987,86977914,123956782,396610856,931558273,688119548,790976508,245573275,291601581,656248525,298008695,786772492,613390146,847099822,974568212,321246068,240564386,647928424,847602720,949016252,338878002,75634749,492525584,103141922,998253559,746996486,169054144,339763405,642506066,354178723,522517737,787172146,733198521,457606147,777309176,516452955,234821649,889419759,601982684,608441910,738804935,614207646,716471846,348406862,200592107,707019708,624100061,840281521,458414150,998086575,227248965,852880251,821086190,48595945,399426074,7927466,538210883,990327560,490188897,50689428,940800745,106269393,895311027,637955384,961963731,583068745,351290155,518841721,124895063,94346160,118250393,123751013,567095575,182110409,222365465,543598211,511953088,787948569,310687219,812023653,606039563,502728488,222671322,156224459,154937941,861139292,782655294,232746794,821776358,191623848,34339665,882976489,772287636,544615473,597248991,347417269,260472775,720535127,498067533,473599533,819712165,803123921,114629441,446524563,407595221,899654148,155165141,182572343,582476810,803824913,96917304,608705695,32018385,566127628,29114836,708600493,260536221,281263548,537873888,386393177,681078981,220181334,787690871,207665827,267407734,549721932,531030630,692173619,984961476,977468830,351793322,588199816,479107548,238954636,896858407,596981637,903434525,858801302,821848353,617487598,132090093,817975598,772685445,480303585,488252276,864278074,869660804,18446466,410190665,705905443,816452212,722333019,114718899,248433458,621374398,822690501,344557981,880791743,782215487,935446963,189469762,231860929,68074409,274422827,291380196,201378492,311604057,636679097,674422385,718934794,80968584,782344741,386682386,541978459,600129945,26473624,356799255,49310159,549277166,502769990,735659307,479328110,147247989,923591939,408962240,895378714,458770547,154366063,595643079,47154528,649872477,890566476,870492616,119349121,349463332,566058561,392226432,789726112,444290190,207795358,365104680,389859919,483121886,486461764,612641460,98575684,250052760,423985518,228653970,499410570,854026828,40881674,452029559,712098956,620405309,653515278,98265128,379052215,408101064,429179679,565599961,770055062,546746128,615313917,286206970,885340228,924356842,834804395,535306426,13996192,595784505,311460842,812547195,396454669,347068147,538898290,30666219,310822470,552167945,693377729,648777736,606809643,416950238,39116275,994647640,743743800,547157237,827393521,970255773,196340923,912530028,452604715,269458809,239757323,229221335,719808894,846619707,430449199,371588858,981649651,687224424,417070380,5217890,380904699,229346395,783590248,105866654,44850498,797492877,219508540,326675470,466150584,465179336,839443964,586047361,491757433,440637715,739189904,609185153,820658353,297669685,654572171,678048029,692327674,773062573,841516965,454282739,276275203,589208831,710851411,220379156,354647533,366380643,122998295,812479826,549098577,604215178,209814372,914072055,701935750,875611418,983205652,596758087,995053382,948625690,927681121,465623278,688864536,226910793,255175729,34430623,525424258,393908664,212282245,64943964,586190407,266612941,562803300,689504719,331042656,410729346,192705866,885904105,496045229,78066311,117923444,642202124,381229161,823133535,126034898,914586881,186561395,565832678,991932322,499218579,681919284,491977898,907078347,283751704,985884895,967599307,982855881,22200354,356593169,645895361,806316211,482048817,189490694,550868249,627232091,738506602,277389714,900356220,965465105,642320204,362466666,906987727,363216965,742610788,23875957,533460242,14477543,336332778,878604456,485569359,751912859,538209978,365935489,769198444,998031693,328513096,84148461,319795204,919112878,261810429,49989421,188097625,288377556,165184798,421486265,436824984,633858855,267779772,562760533,16550226,549205106,276460750,319480434,855854126,250497334,813668944,69405367,953129364,16664304,691032420,471297948,339437920,13902324,605685687,513155004,830612912,883389377,876208357,510861580,893923786,557222757,983249811,692201327,270621964,556158895,315328540,396380967,580366028,468223727,63813728,509272947,566063995,730371153,775496743,382960841,235493609,646046593,948954801,92908437,291004803,28454485,913463518,790740450,182435888,487147985,421501634,878007683,460419315,372962212,624329582,420504403,150682114,511386944,629711016,187031405,350582580,206440111,227579959,428276338,727425908,216702924,968952334,519584624,50209217,117928222,996291318,960158891,521653959,223107533,143139910,541790350,407657678,367068437,559272817,872192817,397274366,52845081,199452570,653984040,227275544,612505797,491445531,807283331,110195359,291393495,681101683,129576104,492923964,634780850,192970498,795300869,287208728,763265829,852166970,335304293,179947098,695272343,120160302,410302888,831918772,634181891,170175529,836062086,199106104,790204538,899386796,2306211,260657160,6944574,192340118,964882408,104726379,531278451,788548997,287376619,463520714,834258352,963361740,792281980,621104506,409176018,286814982,124381367,450924531,840362209,918152482,941738740,696163934,357543841,375179419,879236908,838815128,707150851,13000434,657219812,896184373,410799321,254041464,61276274,963239117,50420946,156965280,601428529,52929091,716428147,609200529,554011147,543502765,493577659,78280222,490380279,950352396,326849010,777647061,414951598,976933357,177811822,642568524,618400882,4046329,954193571,959123384,349154524,454878775,521535202,685079986,472853312,440566840,320525820,490590934,429953333,370578556,222823637,125591633,518683019,122210378,277250220,308348652,357575120,58058720,371840425,519156901,741623454,484389517,999979426,149825589,513275019,517963637,455117064,60023032,108110138,282583854,100625418,609922080,602279293,361227197,337780166,258463150,237433997,755541788,440633712,667829898,520871625,549991751,52837102,698200506,800480307,349216414,749890541,368355506,217943087,800718553,2959189,98495595,624570480,205793900,306543657,260482010,429241576,468202902,640322090,821502635,190223082,969660404,956313794,90029744,776516312,663207192,877721263,486162291,642871749,756548011,397231330,211235169,491834110,737338451,111630968,734494753,100247775,601271560,424252792,993874956,246735618,235016229,780959680,49920453,81242087,336197488,46739559,72173474,30937988,798252414,280870873,485953609,706493530,937364318,299429452,150415622,461289952,120932482,206184422,974467711,906681768,543315717,367055390,32193065,157168728,696680991,945470820,692998586,729070143,91810378,41430493,113979681,554239482,652653691,708044816,150752809,856798119,874327728,514300169,936081418,188121884,577406915,124387665,778249932,620911393,486629438,768917722,482081260,146096353,919824841,869903632,830890695,635695974,379445396,633588634,419540921,941021315,145821830,156137233,773844429,842913593,90163063,841202107,782564079,217967540,517341231,352290740,367604639,561116435,821248015,244148842,576010686,327592162,127943208,20653178,238770147,116403344,829611187,873785751,211788006,397387810,207096443,501899762,568760900,542299211,204828811,755485223,500927972,406403126,684999797,104293639,856314901,283623929,205300533,587623482,87558509,788022713,981110289,377877650,108804551,140527476,717063482,323899426,309930879,103673047,711000425,768468621,217684134,948727042,493584095,763833645,126237106,187402847,941111956,510630299,551222355,971187624,420174995,55728558,992689907,536040511,775829268,393938242,784381350,512360303,184531923,338013727,541871789,715223202,414736566,848369308,157690982,439723507,137212142,821296177,457326783,177535554,880235950,702560221,131772177,897632616,238071357,865954645,136661367,868425002,595364595,364492853,410748516,23620486,797154329,38195027,968988967,977640090,370894268,107037074,503337843,827141652,960963541,481726630,812294031,618584284,835403834,806332040,226422629,269497427,362761982,756455644,429275808,718851443,784165307,88137399,376338729,449027318,865176641,58615597,314146516,233097736,682800090,985435713,475772500,710905425,833395336,33326755,760752639,219055682,752944299,926227329,881770688,379003430,384903948,438428386,793477160,488580922,312295223,594381371,425851400,657273500,753014353,701724814,134368644,218524169,461564927,412531485,274445407,529874449,887024990,615402004,50282401,294769152,339441127,746274339,879518605,618824549,298441905,312499555,387648213,520818137,739253936,626874234,585033942,135919525,543838987,263582901,250769586,560248378,596039331,779558128,835975183,704525381,149609245,981553345,993072674,570082286,259470053,603658908,723244229,151138275,442681794,306171003,663818984,586159628,613983326,280783242,191987933,973623946,680793175,234107382,940472371,326049458,627193409,113913392,629223251,47777033,245043,996830701,614955710,520566934,842689609,924052163,276899044,830570275,19011674,502291744,36707905,117617134,161175155,496087486,483057730,525034182,20761697,956747859,816767526,385901577,913839340,22024799,421698842,164188514,843744414,662160687,817584121,295442071,882058102,868964577,275036126,214212771,739542573,625384606,128643268,907698340,427305156,422101613,329923711,424855536,354741513,848435351,704151706,451179717,233934086,405443156,16694297,855400196,783515507,498318655,964655296,299303565,397261968,520069747,689576291,756774446,878208779,662366957,37210364,333917203,361791519,730491638,181980761,549043086,788984727,843335630,557771649,157452611,721320900,118322989,954694851,164676287,221062004,658619923,598283288,784313299,833988250,208065737,764816021,180327382,265572096,761658654,863214027,106279028,158709020,25477440,941675929,808414128,436055768,999507170,92544296,85024576,385409467,26177231,190508335,711449051,544085237,773092606,946031057,9147137,901986310,492508593,24430040,719007675,156331773,681066184,259135457,466115244,914616588,179668747,135106304,444578854,329289695,543380255,832512051,830300638,742532305,693178321,362654818,454325430,85179909,771373308,768347313,283718289,781332990,842520425,294971944,628138743,48418347,714271802,993018547,290133045,760392693,380855177,77328480,541276022,643860528,24887083,856069018,995174002,557056572,412190044,621050154,850705083,325890950,913981241,161619560,307647676,377472342,348847820,715659266,563717105,213179093,219841309,864014093,619960943,779025081,669197022,105200758,1712610,578611124,585892920,240968257,617956629,971660499,145551811,919453138,841663618,318176871,280447817,480586488,811756392,901940040,306589835,36245769,268212776,648047806,122321765,553401625,973126334,819217528,460265058,509159510,982124813,545814618,136038933,973778858,876289699,718127074,432149555,114446610,819026475,856134517,173862503,819184307,383449933,564466685,167659921,42228039,380884469,644201406,845860713,13746872,248902909,405704880,491774951,308841684,247135843,760455084,684061597,659647924,906381871,686900054,944946583,265007391,697489446,850929243,650703236,170322349,826356374,490477120,877136493,629198072,170969520,601766041,108306511,308526160,610300013,956025657,674914614,989371530,724152922,406752407,561621282,957401359,608038888,779638689,579405511,830226719,1361716,155339681,791116098,661990103,942179664,378703473,294198979,197619733,460723542,650115072,541792500,19439547,989458207,270591328,82642802,320491878,15944256,572741035,938614036,533658593,120880260,389804785,302677665,833314604,174531212,739888957,246146934,223348808,290614989,533264548,332310647,249203043,596895552,185285905,917742306,101416699,773274855,125834445,970722613,864933252,299901189,744450222,380608088,965652699,756424801,307174582,746136002,233676301,855479540,128403306,286563154,544287400,338212098,994233201,98702645,852780946,491953787,939544884,536476775,55977326,946477867,272803237,51009976,596296269,800007909,846179116,751715832,867682762,500240735,734219971,367690914,634525297,916585004,625334193,474705578,591768934,730284315,977266647,454416091,209679072,943607119,161045671,589979405,452858721,478161800,164998904,361540760,876419452,926533639,960718316,145132051,679832182,323074592,126211130,785965463,901605177,423569508,543209649,340975508,687924899,366904522,289934338,440559661,746890450,329842498,649834424,246537112,337877716,637221436,333924343,670371206,769618090,658259270,769424175,705753403,42053232,848244068,821735380,198954534,714751261,714175317,938863051,411775358,560041747,750770452,251886139,404673499,872686658,937234361,188846632,460904175,586901741,986646915,19227211,565389539,389129850,616904688,253188719,91158905,796557200,578165454,310326402,621071443,631273376,430117655,23839794,868764425,763736286,592750275,756813327,917766214,634322729,8189203,411926204,928296127,74638292,48275083,795782438,964837334,523828969,350204143,847261555,145939545,361811987,591602819,413204936,595383384,503824436,356590613,44735604,213627169,439524404,192624446,961544489,213949769,411950078,769314014,635639724,733779946,141894335,153130877,218877740,812514690,299348373,318174564,672150864,842185365,366482461,489119415,856227392,79127334,448142449,331040612,601460194,199163389,329351572,379080992,931492957,885448222,414607879,9865567,441840607,543632852,993953541,551355779,557116200,548554295,164515601,339348860,697664406,940935064,963633352,131440812,697837125,466779188,980445145,953032009,509245392,306677059,880499684,65365690,322524642,830131893,45941680,616660823,998493429,672409648,646310056,434597813,492119412,715597754,136208747,979973665,825355440,12636845,448719488,123177503,340723982,661721726,16979030,362566039,526578106,591268603,772909969,864933823,687225308,989726966,936782861,86862427,79493654,739307914,867459947,114315652,665227881,277039228,325101302,610736783,386422037,799900399,343517507,162765339,744348348,731899517,521479840,222343874,549465030,487944090,726596325,208489028,968636465,429354682,704680156,785126779,592441634,28213188,131056651,309993619,187007152,504679453,750708112,932982076,164207432,426942136,635420477,406843445,101269158,643304709,441221306,426391481,655107293,959736794,760035059,312166929,456623159,624148732,159385433,986596260,953777007,557448155,188859353,816258821,749671646,505459063,123363884,572735513,96965693,337133156,43384706,924855384,77008918,654640105,263460298,798903626,858095101,74233749,745723065,398989212,937575734,520579152,319590705,722949888,438546210,549296243,48860621,51197155,875513367,954957279,146383933,103146233,785585212,815508657,216863371,840307540,922870734,867343285,579770621,450250038,490164571,991389703,641703796,407265229,921228637,551625845,523428615,796169792,147130299,360140334,785603002,970625185,267182551,364112366,993391772,530670478,65901199,360230933,406505087,608658428,104822226,448937658,930715535,698528166,244292348,441451548,947154800,701064371,658946533,609794881,909422781,559408081,989998809,295505073,760871442,175400483,820622616,738488630,276147133,20488681,891039647,629475424,251632146,263505424,242423762,368640091,223205437,470907878,884550018,340978535,352285015,671974514,277374711,868506412,705019112,900040069,940660371,504054398,772706266,662283657,712929266,163869271,227327409,324866533,132639465,747834951,187004990,882372377,556791382,937859710,314456839,425305753,948288934,851804917,576973905,205802083,279450197,30416676,715932020,696186556,942011903,252031837,918987810,394695440,898698400,300689394,673951568,98226237,230600709,424006781,436268414,114047805,838517157,434354992,450448581,855931897,477926696,884544112,305135953,361354704,242539185,726194826,60219042,980171883,555408966,30370764,156736082,907711360,380709729,901022114,926595680,355880106,559098416,486834314,570385782,636313766,800078883,541015939,675825003,390227193,111226425,909952193,796977256,557949376,755834216,615545335,872811530,939644280,574345566,912914538,719202877,982849568,34756910,820404397,526747196,775449939,339607073,461570893,462102393,358172719,711115398,379053612,419672390,974558320,948550169,427081534,998301320,91150345,797911924,108013225,761621193,305673826,171959362,610391906,646042937,180881983,656952004,47181714,511917547,461362063,570420510,108669174,788448614,207527329,507481344,302304025,195545006,82520388,794214073,753653964,792126992,110174412,660801647,719371486,521703890,909061821,50038249,842772780,154140893,152299512,258872363,593028043,600764414,613346181,673152124,927938011,767329378,629405821,269327467,796527314,652295758,699864342,634738628,983842475,126081053,651491916,699642801,748464326,957903030,775421332,982620126,435130275,635980195,41160443,909353153,615823951,692774949,344163480,519625243,300195901,512064480,826868890,54974031,613490168,848575837,686507571,922736368,744816277,276079266,296079636,442189600,189346955,590520268,621794822,944089615,891680113,513565007,832811717,617561768,156693609,467613533,558492596,104578300,553813186,34518498,201190063,468360317,376544087,746833394,816112070,499988634,190037094,470342488,849528371,497721043,940868929,860706981,230913132,979773257,422037593,145853987,561107608,381983232,571480783,712399158,932757900,495440318,28402301,138853759,22651967,808111315,429361799,961025254,782688443,221524571,172358431,294422605,217493096,172678090,992936808,173799229,259245794,256805505,615177219,814190202,806180639,979024670,132060056,20556529,117784372,233642894,545939742,115096281,209682224,583594200,255424880,59717067,274549927,131666471,633151990,139467571,983486044,212068536,407702327,406662561,314170473,609057381,204806350,380489188,959983080,98731331,28572301,954227442,474221509,444602218,579053013,164651006,961369079,660210294,181310201,497708860,972787285,853777818,367213993,104217037,899288873,372341999,596478806,6876653,388067470,429736422,106844395,362595910,262696474,802106511,524369152,117469657,351611813,814708269,277636878,325567566,696721191,675842861,592085245,754151818,138074933,588351872,260247399,393927098,20455095,352664708,778597162,143996345,15491096,864241300,711934825,205387306,796390747,175736912,213977265,72411407,843348613,709882970,549465453,515621888,189591920,759774136,535241566,803932232,947444688,964271771,889230443,230319887,184270474,315665633,826674530,834906030,954634405,446545369,944039496,122453816,643895199,760516931,142662424,202068401,243294111,723160711,731647249,847666020,902006440,287034562,415893500,364947651,461710160,930878122,107338839,43291915,472926475,744616403,144869463,31761987,891705275,771266725,434000439,200214025,563782106,693324886,991874726,926265523,891130057,305592562,301308076,182212263,968207952,629700422,279005368,445227561,839448745,664567249,453822222,364909984,748102661,807240643,180402129,213194540,239965833,222183498,936944942,776206955,554128876,661858630,457861821,28167338,369608636,416303540,483894168,518428140,549690892,995100323,476926984,899627863,608069000,669675651,547840593,520804536,599919776,415877640,222262397,807375798,958965408,182328057,101760711,638006756,395734780,907810865,485855980,672239160,165784139,884678747,342706651,645021880,961669568,549194915,419657253,630710378,261300033,980465445,959726180,88558392,881224540,930280702,300540117,746905972,954847387,608502263,372403145,35289151,723330398,756035326,368928464,214197040,247319518,581888560,620896055,144445075,38609320,525102325,586259224,182875124,42800660,630811607,218705081,987364233,807310512,399591623,200987322,464006531,551321492,743570043,76648754,785780462,427986642,516233167,267484932,676309418,628475898,998835512,380313020,824066439,599943429,362322164,824883466,805212089,434294925,601587028,788326671,458821388,413887434,743745737,837917638,159394787,329235459,357331175,321043898,794117050,317808246,139649744,981486398,879106055,609280062,515104245,505762842,556022671,160931189,489195583,140240800,183607619,98905870,556334596,863614356,226175834,707859522,295191893,38646451,68354487,296224209,627787628,374931585,413149707,437723717,966711601,323592472,671690963,273987660,791754087,309814027,853663379,81566561,552819121,149702555,368301927,862604187,402838623,349284169,747205580,484053083,71822118,695198028,375917943,106664549,605851767,487555504,970836060,478542705,799525831,136831595,510820288,903503748,812869855,286582540,611016794,91110357,797152280,2938279,47757710,23104934,575552013,694761277,744456229,687306414,321265239,716796402,155116265,189880509,307435632,403284599,917690937,38193593,861462088,811415080,772051082,590342491,720430355,710521098,694622684,273921236,172884934,715260063,347314263,874898591,21324035,895832717,332386506,594343913,790550403,693002375,77932346,205045702,444905923,152536119,174660388,933795101,384520548,591200622,378629516,87521165,125641881,787625626,310431981,849752910,217591906,92841760,450952130,703448128,233180580,343539270,88577582,743180295,447999661,544877296,2395745,693529895,712162349,704388082,418185385,709589780,381228772,909714420,463839344,875533097,71732290,624235240,234328455,849131331,620029542,20744961,39425396,651298430,728366276,340304243,654092523,341137214,576926536,166850192,767342380,927285204,886982387,856028395,868826684,349744492,731817101,155717045,217098133,421409116,241204741,379033908,104109596,557413457,854816434,848170611,767150303,169283972,65693602,542915213,618194088,754400888,899211639,736481990,663909863,52967659,839603181,811539937,658428501,848013867,478006369,637470612,909331631,610103968,12784129,574661650,84886174,801660168,134928101,672340358,589576309,862590747,795265671,293562901,806276142,17435055,468195676,32829469,23259558,152186930,331510298,303994497,954716255,489713692,993799788,149762880,929889707,625384897,295633632,28999372,972435607,811121924,492650125,475237521,929433721,20696408,81608107,727687020,906564263,359576693,314985550,676528890,540594949,398734549,431913760,783648331,621672656,670597001,292909422,477931563,23977796,489983524,364506731,649088787,122893686,449147509,975830640,960687309,44034244,43989281,383926375,386379940,559437593,322418379,956229266,14597367,186957848,76807179,967210433,807246467,871361327,269375564,976004845,519056403,451583444,748328502,754692349,864027745,358508997,247804975,272215318,2949372,542772065,556821547,679288007,526296936,903773010,831617071,120430601,286042570,563012674,569160163,755157617,217152111,419280484,666439282,179625075,532497264,349355241,984017703,344036363,582920899,372188908,18413440,552541710,732836734,805555667,330716090,615031046,144718861,892064309,627203728,78036906,230708085,137578195,905229731,986895209,86896474,388949455,772135168,673503886,632985467,765631833,421880375,885007297,839099759,123686965,772645858,32367062,376382608,500710485,325497209,496539180,310554115,511574991,661626656,834671442,63380510,188906442,804579401,266149788,160857338,97152706,709421166,923246661,455559695,665538924,260625800,42814107,407074280,406817579,151990798,598866318,918725392,502753028,606221713,473905485,351242321,550196055,123714281,443750308,226831297,348247174,251706539,789196729,883204548,934796182,260116666,869094784,781845297,900261430,959656266,595222161,950826166,753410604,569311779,437721562,732633234,453250445,750692612,725533101,385305998,881471255,841346732,720748827,448519264,489730810,663281417,936270698,761968532,662960019,518934522,433996149,486169707,919089634,207976247,78111422,540142208,572193855,23104356,554123773,877099912,764626475,61456369,527532467,955766234,779672878,886198689,307317019,696354706,923472889,462076432,613506898,378354713,783073866,41087837,676355157,353123302,531897793,417537047,988693717,7275835,77328185,293573892,993252209,116996457,373086841,308178701,733331568,992591110,242779561,203509859,476261734,999597008,273797533,822634593,552598053,994659564,359155586,747471188,514021673,587098634,892796682,513032552,644489503,339320090,690270924,484083341,925719610,33963532,775484531,574721029,847191628,470495603,51266344,544804399,182828263,222246885,372521960,381780972,886950140,214623751,822949870,357654972,630625377,781440297,89704126,365115655,685712049,327579995,889093459,97781325,4350643,329573955,910578974,833884836,90226186,659939025,110795371,41955382,928225307,865047566,368563131,54801868,579569341,66500442,879297527,957499760,744032981,440361632,286074104,132728526,70931152,388753483,159255226,209954369,998598349,600097199,246707640,730218136,889332451,775007140,564750240,932499271,627956961,672570011,645056753,423274049,221948232,548545387,98837430,304995353,58146606,766560950,8941493,88146726,120376263,676594427,262392681,751613579,111449261,180271061,312305143,631526433,683494606,337406597,907142075,373333560,381068233,452972607,907384064,556575606,170850405,368852565,883419250,727892126,782368977,381696399,110122627,746043533,965037006,718073062,468125278,950138947,780626085,453798943,149239858,578492203,355228552,874960073,798965884,975757270,898046008,660904098,302499909,148566166,236066354,537626618,18032354,288207573,763536434,181189101,45031057,123701508,325381776,928705267,469482652,735677431,700460614,316567525,192510307,915814044,557778604,56283675,275895756,882763240,82996600,664713092,397330704,839655699,578466419,635568203,912146694,37006807,479340476,684007731,987790770,206965980,718612929,49362501,924078935,379271501,422410370,601018013,504186323,118120816,815677643,933710931,193416441,564765061,501425477,717020093,401603461,370633918,848644617,274299680,530731761,395283410,646428403,751502020,620124685,812072995,683975384,315919855,227323123,423755272,650350608,339138875,920388511,387436177,358644487,641873496,878806278,4571152,87468319,415431482,28029816,951459671,209620232,291311561,235485249,690129781,248488813,359982685,259879562,689220446,641952545,132135912,358814514,894359978,361626126,608162399,557865951,95857732,376407364,894693541,760415825,800394874,70210330,380597843,792608353,291236798,947363608,466262826,328650754,301778238,979436324,728153712,411211209,906659540,346544208,91162010,842409192,965270253,586918572,476418934,22828546,816899457,50439608,324279020,617892336,311740134,334899416,560869137,430869790,369305518,732323064,28855133,253375156,888398706,804182035,728223411,177820769,441317726,587271697,880008679,384472,888586781,200136805,525764481,190751604,361703007,22721373,675758072,433047965,794283010,624773645,3806286,200017127,672189469,36508867,349181022,654244279,316739431,244364429,93619580,583136384,400245676,12423710,107970957,303616706,46166688,46485109,734617682,220448949,841429511,961325660,810116091,576085948,943364242,308478978,451193276,969234222,16640770,777435164,377862537,214974910,805174549,914564121,822570929,765841277,431198616,929778772,744053564,979622870,864515900,961048882,738217526,891277504,71873995,444342293,616040571,327210289,756465816,73969090,598338825,307606301,872871064,80698802,97129899,353265466,609224168,200783850,181088931,386746361,978104227,214030950,350650102,384588073,786557699,767960205,517390756,71652652,831486597,512439277,751262587,80099103,350802933,512080884,317200351,609528981,739089895,818199847,792384858,669065025,566508843,507062129,732548473,186123421,335427207,486319936,427614127,604384832), 98660) + } + + test("test6") { + assertEquals(Main.continuousSubarrays(986576039,601518733,744798894,581260814,819551063,25280437,912790185,566200129,512449764,813324259,935779477,75523677,110564640,996917008,24329099,81044379,639852709,485230276,868577009,991579590,173179412,153444229,696412320,668285025,665305513,374760041,395657366,431207308,723415171,78217974,231578479,44787201,520128365,190886570,99544457,834752183,839840220,23156798,568958840,828175027,573601719,646397626,359922464,610592950,761436656,991866724,975548126,596278074,51352469,709760089,137138347,35412739,740326384,428595150,561686033,826522352,528512395,166766340,903971986,930175620,291876450,325746465,226954604,342184919,786100937,33431144,559960353,228435020,981753250,477182859,853319621,531074058,293762369,756977260,982115626,109505171,97662291,597546699,25539355,514871975,21469506,866882384,749542329,187314233,668059077,880111727,802394008,684226238,295590795,933475698,603784570,805706585,106664159,706632391,920925278,534703454,809799056,533469791,699009564,574769508,286021995,580299338,927136527,182061139,50256606,963343548,2079973,759980720,239896735,944973942,715128164,958534922,284255197,962076026,543624223,280308022,922047898,608663068,462272761,947562676,27146468,341833914,373203844,406807671,587150376,428133803,347613221,515250274,825463982,900359800,907386894,758524660,920655262,270154021,958873500,110226802,114234297,326643960,5861654,49217327,698710492,81052676,486338667,421658147,698878003,522872439,376629510,608900195,61788074,690780333,11942994,539935304,292087332,12152539,317686301,915961372,150374730,869266096,1003629,142908381,204197001,394544263,969450770,171841363,370991241,650184990,292091080,505109506,592028441,596806545,834483109,673378639,767537232,201264498,585809426,849412291,631715774,259388106,462631908,473311307,585798379,905873551,750313742,391002361,68500749,679610590,82384498,896993563,234936883,75315577,354955786,941817712,104302093,713662616,936482013,43657259,745642043,405663793,895477621,69916754,662157906,108643574,133515441,947816601,42991330,35801373,846689945,783572043,615345014,800773933,436105384,559804754,325938750,603283553,389448681,445037108,787491667,185306896,634916738,477037552,787317467,959074084,555832639,203512770,942124651,552642935,946815932,511046362,791528968,910331118,417421115,171635618,60882630,695292693,979469165,954647745,664340639,608490206,175615746,788066583,210609215,662081854,502078228,552639148,408995863,928867883,788865214,78446845,390010046,956279858,273414686,456561571,177779246,215293145,144082790,620526520,398982331,234873517,527385946,613566832,477765282,278465563,989951319,385737853,481073764,240056230,749226389,667689555,935319591,540379075,897989401,613685104,385113713,338480692,257208208,875552232,739900834,742532026,42254847,502853370,396247091,481159225,557415631,914083869,281797106,292457360,112959996,351547590,265676736,923147125,266464434,687374493,580794148,716602199,338798401,913791489,677172734,738912761,152982023,525315575,430182817,354623499,937500825,376724848,757581895,876521213,551782406,151721898,789720210,342190487,319203609,966485054,958968137,513122548,975613889,866247534,281738095,917981986,531829981,359842995,6622721,904674242,974976449,748258437,567842348,638743706,61494949,303462355,445161378,749225931,787139081,668259182,234981552,462258435,726625304,341510016,577058185,992554850,749445478,582595339,780481917,750180751,262124589,106535883,367687558,971214612,61319084,965726400,657516977,883701697,862522904,64115696,513783295,999052937,486700811,796573702,280239976,234185826,461204650,758125925,126775922,838175995,806801831,700071822,989267637,910282003,878022355,244255278,225338144,881659572,538074143,865267119,764307133,253726616,4475863,87932273,729809419,268502433,65681120,535102289,173483085,798364418,968369339,396296576,73922307,899252389,412462346,964316305,761282647,255990326,949404058,812590373,34026036,97939548,322224015,510940653,506559314,503977550,774514848,36247643,437658632,479381,51878343,337682815,597869299,870247035,663466909,420381212,288653041,58094622,9581960,423701880,571611425,593983811,982942712,615198986,370820134,665231038,466181876,543638295,78012277,808025712,110429581,481671110,198451122,555980045,252794221,789193201,299465441,145553688,174638070,110315978,181179796,552120081,995670736,455857983,158953526,789054048,936324288,712896109,176108370,623745811,385669462,386367438,216076496,852262157,392113704,800367361,35297933,382493560,153843060,691569272,206751308,496810232,948567947,909942776,22548182,269168821,784279534,404708186,642552253,157290956,844643546,749012594,319158474,309157145,449213107,253681659,306003941,528681663,947286174,13134287,868446224,362358182,264069010,580630077,322123947,773675502,415357338,756222969,259106790,105858528,30623735,167775546,197595956,450054857,724671100,682749838,558106911,883549230,269667837,756991009,252082110,787111586,56626871,790643061,566304803,587813314,77961425,273087539,830963409,133834852,587489818,989427376,498572580,639829475,751779327,41302627,222532052,697417077,52806010,982963393,149885608,395105597,645764472,191141038,845031106,312109458,729512844,176127964,809793848,664968995,704916862,875673216,141833510,182051317,992183445,297792113,355574825,606046037,194300931,632720241,610881837,186754220,720832108,146071000,243419454,828709151,43639123,666855247,163869981,268559201,361847381,104957194,190591744,634468624,321594174,862283064,205152266,177397962,556311619,863894633,373831766,942279545,653006149,160951075,236801325,493232814,339583131,484320386,21025914,256711360,849624193,401395721,496381864,332735864,217338016,331625978,57067206,524966047,567366924,118409006,770385788,603521587,306874647,230486584,917544600,410833394,488486675,88688023,501855718,308799624,198553054,293888196,109345877,584831299,935375323,319691116,790173522,433793231,350306105,656922791,254787836,648834473,69769848,79680095,577271913,577615598,83426119,167136032,716304509,840447832,554251141,917904548,611101123,78487475,472387413,187390057,831236707,74874951,451113402,934949752,252310862,79253725,903689754,269740554,752807142,982768130,5205489,201734494,538149812,306360124,504690456,216678578,141422302,142708240,334420714,789870378,332615884,644067726,846846492,889176620,421265897,962675830,944303527,217209454,293583694,823750001,492538867,305676053,309983666,902029229,854985728,144425088,642729776,526520803,366059436,172215933,976733788,909084484,124595472,453968460,99113563,173436747,636604497,866277760,505575047,520608862,46301245,868493326,269333051,940295888,595054344,809152297,540724164,154224803,873893058,733259375,536533553,617692870,733884839,460666106,274602303,950741840,468289936,544801847,496872794,188022530,308361846,473824480,644807993,410054596,482314084,372411277,28145300,517628091,494398440,108336654,231230366,455525638,785967900,909775888,663148606,947641873,547442634,327586571,368743086,812934032,242359806,900501040,481701585,625197976,906163166,572389826,749804175,770180626,423149784,690990313,764392216,779926189,145452549,395972668,642625619,450047676,140155889,654897705,340834937,596247349,253367486,772441625,397178326,516751524,656974341,141116671,773481839,180473357,636719804,936547609,336092653,191634486,258920566,953378934,161483711,733252003,212620250,72639104,920522471,376147673,351072337,750975083,474000170,431964154,604802291,936933417,536723843,325972811,81511779,183576561,394027356,865906962,408834402,520074229,245029833,415970722,487181359,525147700,955420289,419546405,35534058,244737094,351570728,393362930,864420719,987440502,914151300,732024790,517887877,940220056,474807908,54332016,450628737,248165962,708385943,277002523,540665248,729421264,372474544,173854046,848679620,591958283,387139566,366709532,490529618,733230433,555310779,212871363,634593613,789815897,344012663,192291081,754686060,693344777,852397477,482465668,402928302,976386953,185141768,215267652,159292854,640962388,156621561,706192644,946595396,641923802,848690811,729896504,199608705,447301337,736791970,878841552,30301284,468198364,332347314,764408034,62518773,893624383,511404789,216219825,459444145,9837850,851832373,396526624,408886323,260246028,272648477,662543268,884571944,504589438,735466421,943634437,987392460,174198798,985001154,628559284,274251988,739793275,768341410,880418500,364542649,393945987,247599498,851319424,345604729,455254550,913063364,598539995,386146064,695090808,156259258,73962034,588884334,800086874,740188025,59302474,181600767,66082533,510776571,36633108,728512690,635382302,393939959,767127464,687207892,323448714,903413875,784772324,769847240,385363892,277499606,552770739,198009999,865700508,6122709,998815288,639486594,737034697,426771340,995923120,843073558,674510925,171483616,950272084,473017770,276155357,946732144,77878333,326866906,284809603,11916753,76483263,491178725,195357618,32928657,360264741,368002046,797667558,479883567,3806652,100053441,49764335,233827150,966165851,299691293,191059346,424648450,937697832,891631170,810474530,141424072,494037220,426259722,105210394,673567320,480246657,395288408,530636929,499914791,304213778,715201314,901449164,381721199,913862153,179346872,148469490,223565496,79303151,994169369,470918881,86267931,501375786,404137902,788330108,296937007,253346788,845839600,728150937,44676193,957357770,152888575,835705180,196081889,90926363,504445250,806072267,53423666,459045713,761478620,748173243,377592615,794069247,46074891,618733588,613480327,807958893,738744322,177399515,489924779,737922419,339764223,784456098,666610787,123385633,200519390,916326464,524138634,459359318,432076898,92551987,126605305,647923175,151676410,748276775,952524998,610607034,535093358,69335779,651055828,968479865,851695058,219941076,587985205,933745954,259887416,56597410,389914717,402822378,904001354,527432726,961502247,470139454,745115869,524821435,720089395,497674929,538781692,126687566,849812508,510357606,700626030,641862225,900942001,700885907,735519805,584910579,994399994,771534636,311788676,305841072,124840659,426699010,925815049,828691029,568176087,358396156,770402906,616542608,502606997,33565309,756280776,490494482,865071710,124254311,505042767,507835801,149903760,541774159,680101366,515097761,910887206,200928602,25018206,137263416,471738493,300829837,772014793,477042531,668810692,449670700,274442516,617516315,216702299,582885872,630457303,455678745,112646971,716419192,820618514,854269641,742875822,682600898,27486674,648247165,325734409,149726892,996802993,860986715,222003754,856662976,18652603,202240329,387477952,270113319,679287443,974880243,49504286,895388288,22300516,13751064,976411258,958640931,221159301,327380748,955221902,9425450,181415223,854854441,989110191,329839749,733713179,6866679,187093683,723886631,294524679,726149748,135382460,935085411,495085316,497704213,99324041,511778957,543128576,996621738,744290255,301798288,527774475,2283682,459737942,731435429,349076351,375330492,381836982,524367832,997958386,606338879,365247869,989070681,423330089,430331870,430450084,674033136,699278942,982132569,673877576,478823225,588011223,572520597,52590548,658849578,109285107,498488460,534344859,484576872,557655008,900053888,922972287,559122206,484335605,419515969,964121136,498330080,183983701,166898608,728609354,683295908,951496687,913234493,228643392,122451236,326248725,381025726,553549307,175233471,787119947,346584126,807008210,564651643,744271522,514794366,924364324,545214668,658854025,880745050,241643207,548526374,998536424,975604461,478134892,829968428,612135198,438573255,687846362,224800446,678060653,957344959,492412450,36273190,113782707,865842852,704565173,406187724,973340673,301125429,478044041,314361811,180597293,744883721,628700550,604143322,451008067,480834434,183988201,859180156,375001260,889386689,451787242,652102751,167156824,413155326,519672357,319886201,300779618,58124313,830567026,250707961,513720380,610627934,112843799,191436616,747163762,115774537,151884727,266636220,657665974,920606028,164187109,862474737,917705845,82584871,511206272,107922931,103875332,542355762,297863866,700687804,412327941,263152644,319526495,387630768,650176479,651400390,522673786,50844782,887565269,395477533,706752245,508399207,413363997,445076369,169200104,130908062,768044002,347537954,697579513,796408345,132850467,597617278,602475506,945958255,23823331,970944437,537329692,103848475,47006196,525250853,323465378,345220343,647712376,620256803,561723687,306535944,147888705,759909856,313402006,525375313,871856491,301130834,137546158,499821461,714292167,580737118,84985910,468713941,728211737,464327518,280414810,846609010,5789267,711396078,721326933,838225532,889825409,296774397,573675103,296627806,694496114,228034366,312583229,413396179,650706030,810763132,656748092,326338824,367130339,963050464,612700577,38078765,369620097,402721352,612846892,719511018,887400356,780477034,405419444,639851418,636069705,807024698,324792234,448441139,556194397,962751237,397277287,250853382,117616066,333782066,56221931,346456768,668230224,205064744,674434480,152685602,333711527,833552139,946801018,134996218,396930307,704721069,586389265,127493541,293380144,315930416,876779591,415510520,595467505,186618457,571640009,210841865,115248499,697830266,785552679,691774331,531882328,320296450,319948371,948942538,781146654,125631270,753976436,933707675,286978444,721564824,110497466,360327851,220193725,969813144,133861104,86184704,645801405,412238564,524205942,669156985,725418297,572124885,235305580,620443728,378158887,992849496,944447407,289657433,972558855,760792668,939409858,113833843,121870897,989112181,968319028,461233291,313896944,166320624,978652417,828343576,285392956,930176169,479437221,909866334,327089606,741593535,695211265,653341008,493140645,943135234,892369361,391458871,372977658,663522758,70745703,296573451,987563405,930230329,818530969,468783218,284551398,785158843,422830132,866042448,539399871,172742336,953610433,735901718,755671210,24687842,918059021,891693651,773627646,262804676,845835876,104771818,330078383,673195378,199614261,715142396,570957848,195133203,659682907,551511513,597871569,389806908,728219943,912136988,922329718,980340515,786933442,555838838,348248307,995182610,553338903,634432486,238909929,505060720,60007623,332681811,229138999,750056366,135608661,867659239,517673397,214592814,329258851,110379871,536266069,831653225,156869239,57866175,372771662,198587103,232800264,582995445,619477519,145249641,994266095,883176178,627987925,673311512,359530039,223425877,668057290,320699950,712859313,576683225,752391878,967753571,992482062,38524512,810422231,190495740,990497174,682326920,783553180,586085802,913440283,245612384,86481359,507195397,692434313,24230073,867891023,985253645,249976897,211546544,132271048,68067628,862357524,158078750,758267781,114455258,712586056,546994934,808326761,838981173,966368905,864995256,934999680,276125059,979540976,399015349,329343570,623837261,904989746,995350662,974746624,20126639,256669532,644585916,906817904,622607804,680167615,64433292,487201484,627663049,356459009,993489733,491229920,295500541,198780092,331908340,842045201,880406211,340937757,325862857,243407439,658087317,956308756,644062108,873353301,183457389,378005760,409772395,581053569,751042001,993256723,324826774,608797529,815824680,242532832,880535373,317717750,672372272,371416030,431423441,103602024,67109546,329893263,988786735,224973953,724462393,427459818,327145347,277712776,394072537,584870600,266303282,836513660,300418431,2665482,215218726,273713571,651405723,571305561,834307748,29659598,137383013,292524,901038717,461619099,41101029,971364034,679805575,244587278,384179079,318209343,620799662,118743259,168203256,435370432,317463526,972645750,344845525,280522222,329343261,763470329,253303267,43401087,633539460,904801161,152589864,129198178,698207955,688597268,759347235,216463268,119184452,230246787,483164029,90684422,484813684,995044366,647524100,250111736,31109154,760403936,355380622,220397008,877296750,576011695,526398022,977541168,909186901,358538309,369908689,976733050,395469033,618950160,148817624,96391011,841554406,886450972,628474861,168667519,693433495,976034748,584654523,972189615,696216855,473742137,586122783,334414483,418400651,102585734,198955796,383351846,89621709,186397325,901228819,206592579,442678482,646847024,215762963,705052374,166308595,236009260,308007156,733144348,911714719,576867231,350502547,517696144,10419386,373477478,500895193,682732667,352496488,337175771,732797690,425202741,189448651,861389089,125820957,475905145,390855792,122541166,589138727,703690873,488638808,765217488,245796100,327336741,409359149,940996252,150631338,471300375,986460604,894064038,1271202,434271359,546018019,476511333,16274396,595108601,380198879,559298182,384680037,110631233,189454993,371278246,438550068,408497749,234126240,585862047,71382324,197836158,841610406,358700792,38659181,120561653,237770088,636994454,61088040,437579765,976439946,676199075,319278431,680302593,631122874,899726990,125230482,437347682,503862589,909489156,370869300,572185459,436662762,66527855,575593536,134605578,833703074,927607631,219336839,6906079,490219673,622744038,994220801,327163518,887086762,676735112,347495993,876531703,55373820,819152967,356113070,232027931,189446369,162238011,344681371,394444617,299084855,927274627,925424622,472383396,107913977,555582312,598634062,451341034,832988297,711016734,555276702,892173115,190973611,697102582,840375991,123038610,212299011,491374175,772594350,584439670,277605241,928636891,804987172,445970535,355038974,617029532,589983294,682217758,89625762,803571486,593180573,484509209,947433617,86872088,285874384,960332023,434347604,622491942,350191556,843130289,341556911,507105248,239449109,912622725,581724026,722136006,691139400,703803324,935445408,555548639,914421790,116080079,9294548,848156274,499314704,7342392,814923956,92860087,220102440,634212351,679221602,920296890,388852010,642053629,807079836,922941714,820219917,185082979,235055663,403019282,297803197,930570216,855126672,914359065,287327286,877444406,432392221,398392751,851638454,514697828,218853487,730052752,775191292,725225009,634512699,350910894,890116956,308432895,708563535,804739795,751841678,152162816,677584120,837057032,444390754,589864873,645654364,66226096,73229082,377199914,839959549,952209899,769216269,133837249,674305692,13606016,76489727,625780525,665901670,671489906,547958357,20365291,910977788,416499743,72598511,762595046,616621649,425171642,114440826,640871155,750138018,335887902,210052080,124424056,421611272,547746156,621604874,811503057,972326559,909589502,50174297,142719028,368497648,840597435,87540760,640825534,953150151,197124631,283419391,241154464,563244807,829610363,55522671,746971220,861129400,535995036,4215625,933231512,342380750,520767203,679638508,210050792,558489503,576267227,177348452,580515022,383894600,283750129,766520363,506062684,446629186,279138609,284978643,859734483,305991557,315187158,974921157,117576867,169089999,925761418,764373041,405651415,647875816,53415649,491300306,723776343,221852702,372818911,743061445,429331787,232384,128746533,489187589,126689009,184608888,25045905,184934206,955719495,517276052,83447309,367792505,274706927,345760393,920153104,854530779,956425369,986933640,900088347,234028316,189010951,834443404,332383957,720470590,493349935,623682564,771936958,629287634,230042467,120160190,128074868,972127117,428933190,31688257,831349278,717314750,526708673,966963183,157001778,526208230,442311495,50603303,752250239,949894597,603541187,6269166,922597839,755528875,300932105,954591827,810255418,777227661,707459169,100480160,502639112,343216866,939581098,68653891,115840262,122262261,952432533,918594966,699504172,437275013,647702839,736325185,597375337,900388168,218015160,93655587,88257692,162604800,20672805,571083319,328362800,326033993,871864315,704539602,693795848,268722689,575146902,544684235,223700567,789120757,994333602,795505390,763615908,238029391,640693473,184815452,630113412,72071330,295628311,430088647,241075639,278667254,749705384,664147718,125130661,993682714,544763375,903367057,542017263,726764966,220151078,229955686,5212841,440922845,297316977,858145969,92622074,141001854,960320811,764211441,729251622,774205031,522150538,781133985,744754267,362391736,469529585,751349436,953868544,59811003,614778948,894074215,949287753,793052735,236202071,255051005,180439030,383519238,265909058,807498554,509766146,886416122,50880873,458742912,429742515,823121209,409883806,62630351,225481646,525314727,360855493,926715425,558581733,96074629,56471696,604239828,662595248,235077164,250607577,462515565,452300935,628372017,426346660,653144897,521868355,955790793,355374280,618179015,260855274,35277335,377535052,517302416,127035430,586928688,320411861,654938124,629723419,167412238,912487835,510492008,815020417,31788417,33529360,65186782,759977513,960720405,818056734,868804836,766835333,776352926,63367556,735909085,889872994,49765661,174063293,245237911,449418849,682970022,839172805,463939462,100736418,380402157,9061407,548163824,368840454,84615631,257757918,182127386,376794701,65856158,601753845,670936689,317886345,341748076,806444113,3737778,721181926,32647468,4736468,10918975,423801524,560284523,650483626,289657048,698364862,58927298,598768927,804287668,920878181,77898939,72452829,783763756,249048354,573063387,631533880,202741975,643453093,617659082,33643917,483505542,948412732,846131071,743930,711856856,296980839,483010592,436519969,11190890,708922535,148094106,579583246,577829389,746848688,632920240,616367274,375545667,793456996,741810189,394206866,434039440,959454100,849854952,319106341,883123155,654999752,132785683,195809817,616816108,592308316,130639031,801536267,448027297,456391331,415067985,320675141,95346307,72945622,64121938,405322477,388802816,389599993,799007370,645482210,326781402,67604548,721508019,549669015,6934247,851855876,603204343,559726058,432817983,516100652,667962146,501070070,42266921,841233220,977458990,318723580,246398453,654783477,825836134,162559306,143289014,323071962,633247251,43039917,268058280,754633280,845133748,191928692,887548131,128541,13948703,803610402,806522931,851623468,520461919,929480302,259414838,531434782,60281330,886313490,200667907,787773947,617771333,260405048,817086321,805698257,71375144,756957149,13486796,717612617,686063691,15213485,277778354,490540748,7007016,452304510,91141491,839657227,53907887,475468234,453265091,923008830,570124892,64231546,397691429,188072356,591490965,933097387,817134155,432785777,775343623,302451124,227795582,228841479,98800598,704272462,654840714,640935261,813973555,654728203,448787508,911383314,210486298,655880496,672453622,437321762,729855343,352752534,236291785,341980717,915027601,689301897,278836475,942793486,578152146,472508049,136121057,416755895,493246860,488641408,973216434,459385216,136088924,579924464,388400813,13195159,775011893,17663574,465973123,131356934,569769804,984198730,953264250,252183195,532346146,754390766,626612734,594561146,942816846,116112412,965321568,980368854,418148218,630254272,180102482,778418086,801146575,23520247,597264595,582591953,848193494,242049540,587081940,55372911,163529373,6597606,710057761,265927480,183631325,581225743,362932861,49004629,460152851,529438055,822430771,798950224,495435605,148360068,549387665,86923119,511997226,748201368,911514329,340058083,916915838,989430614,716587270,793730435,603430274,702680784,140199876,289341908,847530806,716934163,635505378,806661448,840708180,383437566,335990415,611797694,762895183,292734082,362255094,467994684,584189206,548896020,395742238,26365817,465620147,368052838,834434978,477330746,624248485,396403443,465779826,740952398,93001567,275138027,564041897,839787464,567082944,477432405,236387712,230458838,371799818,991120726,342076033,954237051,553643873,608140350,278259543,952913556,669117032,162463966,581386365,292386153,312967626,557488077,722001828,123129121,682186795,831279410,448654567,658821312,116391311,541782326,763980852,184938202,318982151,651407791,351365424,520278092,890359285,876675294,182822782,18748040,916571707,750587716,278555242,8009990,126607627,8323219,605058452,969321900,176712248,485398843,227545829,55758292,52880424,497547351,686894369,119244350,637578478,807175975,646890547,621748480,898435345,968654831,918716337,47190041,974512999,270441707,679237163,830257507,652152960,681011783,843800897,735032661,145424971,620328333,139930119,818019690,991851758,446815153,767831439,924813682,510081042,851256241,186811769,891451206,446773688,196164199,214643654,910341835,637520024,172065480,887573010,700997131,531733496,656672082,36075340,664335614,108372306,495177697,841693596,619225803,393083816,48262744,442105323,37990760,923595516,773580990,742932707,874130362,86535282,254622390,46386604,800219045,627094331,570881064,417315119,878168401,471621287,965360993,346737256,772113295,571678353,102222720,356769943,801308721,414093192,7274657,297140410,900476622,26545369,330836775,781778198,189015037,301927085,737704355,755271210,451584653,743869747,952811301,204992213,846888761,389810920,790341554,374273343,649743534,944740304,126553505,448897970,787676728,36720535,685601135,546688979,758263620,766166623,831630231,328622466,914611096,405631388,296847439,389358530,605879232,557670692,27170848,978622976,276222900,556902984,832945328,816863085,523227373,124927231,546915054,938785584,927487954,101424099,399756993,681275342,89120137,992215643,684064376,466859536,935208624,401920582,263219327,280287859,605028222,233931078,244555238,9454390,592914144,904953631,21541492,133371738,798172242,759785395,125284326,173327525,435343047,865305356,605619062,947865034,804190994,749830301,719047130,446471442,431901713,593538832,792773282,108359957,401824407,581195461,371443516,779789087,769205262,824721709,601456405,485616383,185544580,95385672,297682149,442739750,85022014,480946068,232546994,437720966,197141447,452344290,475346394,448968866,556880073,235260629,741357253,969813968,68715074,657033311,836737364,655196179,403647660,916100633,805881321,467378822,816937888,790551592,390806718,314687318,54278481,402885488,862114635,392390476,98850108,162298090,876541434,326488770,204919626,461286844,195632246,868570469,137157266,450948928,526416205,555660735,216343143,35886438,525808681,959312986,679788284,772376614,940967231,474988741,167486380,219420893,944251785,66285368,616133153,997395884,899104230,768787298,385221046,685913055,892972249,932064476,785378186,659973230,848832618,968344528,505944211,507114713,235289417,918163896,692505315,834927456,756195638,37427989,341549252,943622643,194055173,461959777,970392575,99217183,914418247,934314709,948122650,357117528,460256407,57147611,648063189,897179811,733995206,530782294,133743367,103618827,299293793,713124880,179358768,249518162,302670054,290429864,554726363,819151452,730553853,514463096,370877976,255852831,651401778,606842639,60721709,220761774,444053767,884453197,504646309,921344230,529398215,943939959,43454959,795249684,515658780,818350977,314270107,726271232,843665591,67458445,320394839,637780031,169937442,787160719,200208585,204768851,305296710,386984798,105196401,408298448,610609537,22592327,999077140,321915257,346366718,292441921,744917334,605218192,427501465,901289145,869043943,276640175,354058877,352450856,518532572,538221075,567350761,149051501,702656305,141233430,240610869,550509442,520758643,160914009,647178859,76449582,779024598,250046377,378744548,513531663,878425057,617538842,298370855,699488348,228206810,722830496,453503962,436791122,177593047,356773497,548572252,640434155,166473740,971968542,479297232,96198247,380111658,608803298,75052686,759147855,617721202,143741817,661602088,880098795,604182246,125336277,49877053,34548867,570896299,888150380,72907235,459960666,870237203,172094126,141538958,895282074,355111110,848265364,6704928,522419913,968827293,823328680,270896549,706719677,149619187,287429763,754377052,507202626,992743343,990757015,214437200,209904640,642019325,746459080,599636726,488022744,953893170,153409683,657933071,370525149,351468672,194576011,842767546,33057,225090164,757950439,368141655,552226479,31359432,743706892,442623670,646948925,838333757,814760907,480914407,862033625,706789671,713642893,46287214,88831530,961140999,445781649,300458461,560143054,784986980,660938773,663212491,482549052,605333289,967370204,218206398,849976133,901176090,743863425,114642946,202590218,651005392,216645793,799057299,364767266,619375310,778945782,848890405,381488849,845815373,520448078,597026690,203342712,103184205,398891166,521442381,372682677,135134729,206367196,332376787,462103570,210200967,768681256,382192136,362401990,374954224,668284735,110094511,52476413,219511306,12637816,177198682,486433255,171661952,730556114,38820146,722637309,557980333,461208812,152235679,816228319,453300754,223532473,520790128,946809769,637886279,84171018,712702015,291973126,993493794,551298327,217660394,610901649,904379303,256879979,980553146,207079755,289881296,461453215,741148609,769133734,244262326,447055210,550402450,274057369,436419980,709930607,487361319,161597939,615414142,940420157,165156501,561417111,229040581,578885580,368835808,760980160,452734404,337934681,3315128,55233429,619285614,442318876,573260694,66271070,703974984,369485891,311073703,508785052,676163350,585732715,815869603,692430286,359447110,950855123,659053977,815807927,860378567,70223700,511820699,196837545,784728013,131672076,42892773,376068736,911982463,80798098,515712249,221974133,148383753,797663870,908814999,581344672,549012261,72985707,372284951,184119969,460135231,615914409,668543305,776191559,119414179,649559894,428507884,514984443,194695522,103878983,250811486,362369938,882373766,443020108,602484135,40281377,772412226,452973083,305600188,938049828,483542563,718497324,187128782,294634681,145774537,999840436,868096855,690784224,451136972,890490038,676442403,219850051,337947119,35556822,217588532,467499312,327054616,206119070,532785811,360204811,451828340,652759019,23275788,256866858,945300335,890975666,601563775,187551252,374284843,437182482,227680064,472966274,790310295,709547557,425227694,693988265,904046356,640487227,594988499,571741202,630165059,557312568,500463297,605221758,647986367,13100109,947479680,365662029,321825758,104495209,257268029,819419290,923593954,679503020,110391213,973494463,321013779,796313290,19891823,112360900,325156860,557562806,133392328,182512378,578233468,513223587,143464387,668904644,508763604,420416416,347022086,464746581,217997224,965033078,840805883,392585432,378114188,502312553,706204727,240852805,554731655,555855622,969074772,878541689,291079659,234461704,265735317,578628270,630066211,617611411,614756556,432680618,506644774,273705391,853518284,944757304,134688505,425190142,786155015,447927499,281438999,265643492,775608158,644842792,176291337,556294405,614429562,653312303,77264730,209766134,545702931,409037798,812067719,703858040,875190548,667146978,713926731,945888913,940819321,386664157,365583076,715116161,43477113,550741628,532103657,665685383,791505484,681837388,946733680,832599074,349570595,15480007,120784291,837278084,779863437,965608893,551180002,41886636,578383287,454924643,999028303,648966755,741336997,593536591,65740948,362020726,518218849,640495427,483418543,622575356,155418034,110226931,216657821,666656955,584606375,491448759,956087708,159214277,910034857,315946950,355773330,588527314,712570910,612529133,662935433,531876812,842860336,409244660,504363670,598338775,448117849,254479755,757551275,240890696,779738256,291245509,731586472,654721303,888990568,98322842,594921965,284895538,648922231,754067479,726228569,342340223,236259683,472211605,186167998,829894773,444927358,782119357,693600488,436851297,103064180,222115546,444526840,605578599,176587866,736973798,473086610,74101891,762745807,854794122,541897801,187198378,632407095,536862994,120703424,604573334,464315876,729453392,781448295,782320759,948980113,357587823,150233004,291149587,731564774,413682917,610311931,683360474,675247150,323802092,496184625,743022134,34196944,259929883,976034591,484787059,940794516,602842406,128087058,204552993,329963919,595147756,373203080,342962348,889378250,129697687,370872758,789493700,782375648,913505252,582185331,847391977,374901328,787135007,722567593,444681766,185442461,940246385,246532151,460032693,320527969,669436954,876930300,214562744,713522966,276045913,520408452,24480611,514346684,400147134,972418751,131374302,415982421,860286275,493929934,334621196,436875290,715716170,592387495,527723524,728780028,506605524,688973166,671888141,905386111,520383626,862925921,830575591,403104684,106425503,331808456,188089443,10815219,565642939,358094969,867175074,29066438,924721666,544286766,949220361,830356434,322186438,797193948,999088195,944168751,17296315,890667968,228600007,689463800,549461114,407062945,992741540,644421095,256227231,449048778,511541812,433690742,471926479,298416439,922848226,463237372,696399197,990165276,126746212,929465355,171829000,688944091,386745327,30684224,583176818,535162625,57037215,902111214,610620379,779236177,721063716,907064426,194030915,275393172,627252200,464694205,543426838,302281508,598425543,154663581,968630936,70174958,772688641,460094785,845398822,923687205,119662297,12986991,329973646,229840711,888382852,929917485,180103723,363932208,965428031,705458355,294353381,532132948,900202384,47863497,43684819,290522645,453193026,389886117,871853160,65327774,592273774,791906761,303073314,825127167,7861424,652106810,707997475,853473899,288078750,296366579,753958320,92979083,880497856,580041700,336240302,943001247,558273475,666893107,232852259,910943303,734718839,992576534,972667864,934536176,122186083,798138702,878165482,987682975,415555455,638826798,973746721,748252865,605406427,395229697,916495069,808527122,764273058,504442542,942513426,53045046,998103045,402982620,610150125,78643856,370691006,606947766,699127215,581310088,520189570,731093766,200942881,410997201,506764123,270889434,3214019,67917091,192861192,118168651,872261890,614385714,253792561,29201571,974773766,191634218,549402052,932941723,453093668,222666012,971800714,90668489,736496201,973834698,323221978,181780500,370769177,601972012,464746187,820205139,5631204,225121752,999690739,218099399,914055263,468644838,27536217,437735413,82202453,336712227,957416531,609854370,91358152,685143970,607945368,323506158,499834623,900243029,17405950,155272930,299324309,501638246,188885176,950085620,957576258,795527746,808378867,974679676,346445754,663524805,410945110,194188112,481769462,719420608,451804077,549610158,349558025,679008651,189047350,613770535,564426911,999313000,379723930,829627532,68213419,406843175,765938588,982766631,109028515,508739701,937509627,241297356,547559258,570983840,996991456,715856085,901737485,935048656,354467528,49428885,578632410,611433240,631619443,751726794,612270331,373695102,545065749,744959829,371470059,739772678,913550211,167484129,66634279,868468519,560011929,570066733,978652222,278915183,497105318,501406252,505469007,44424902,861468706,655961020,967413462,269595980,961337940,61978990,721043629,259634431,836576635,885521519,546441422,190080486,806491576,416577696,911560487,555314857,827301887,65700299,95583493,989384574,932878488,843009525,901915327,175894974,346037861,281003195,883692425,419706572,470318984,70227489,207090707,941495333,918758130,662850211,101330114,583187243,953062301,384887919,108018284,450598564,326501138,930485101,300867470,267614698,447740996,881038602,368237118,413718958,505675570,88786161,892089332,839845015,745241488,285892382,209713032,911931071,676073164,759319822,781061092,190291952,742717837,81117746,904929968,892834302,987145938,529683689,471349853,885797666,743496573,906527721,886027926,905291228,103945278,315591141,91061696,753720009,26178002,217917690,951492207,951406264,369770442,441621808,621470889,667286255,596259589,422938507,939320694,535141947,57332918,877994421,188347799,338590617,13682392,83040141,664788894,776147858,891525260,302886385,903522802,217885392,597132833,920161087,960156739,409495545,998535992,8917970,176154406,38453571,668158421,52500275,274086399,296723018,997397688,16213568,724741923,624178400,705804348,778000057,647593158,314325022,227594710,564258072,368451036,437069493,108946197,118469114,38843632,399539341,294386849,622196728,270713816,753365648,701083767,174267094,554640305,191358519,16899022,140901269,394250193,746041002,637316636,224800036,702358732,723810604,755404900,410025473,393850672,196035405,409421379,573665010,883218846,664923003,662585796,405014269,778258328,758945783,31098884,470593804,835918086,654029947,299107080,630252741,784651504,824280924,531336009,729832690,19250974,832861208,493183055,898480941,459502292,588482201,111557187,993019915,641188960,640672998,189700268,819705047,385076358,104696782,771313886,534769807,156143141,550616193,832417358,244086153,943943389,367451730,828534121,886694721,836510198,67701662,564481459,602836040,410216558,106992468,792801219,549645882,759241084,399824233,209316885,522901372,149102861,762357531,235701969,68577912,901337136,473930717,893053762,750922847,144041187,186174561,887627528,205426865,589009819,87107494,920196240,983140536,102121639,783686011,97734112,425404216,982190774,387782503,869494970,992593396,565442077,469391335,226832602,197033040,911039500,457228487,432352132,77077779,120261726,470304300,322034176,370805045,291436924,332229928,395352732,41563722,845389930,381878511,325863614,397889250,695119672,752493429,92762301,473841878,495959726,727357277,231784134,950186296,961684510,821247368,983495697,345894586,898191128,246316098,580022122,294050132,974283293,169991162,94307333,696229949,715721934,62870355,493757314,69302701,571791870,123982466,548294631,409693909,220827204,421438557,34618256,547935185,965860576,322835389,521530010,955908493,868139673,979753097,513067041,842606279,732476154,111138436,1657182,870130807,423931151,559675266,953707177,553313698,819382176,364562663,303699218,516464167,363487640,307656948,8760029,758736431,129262889,672525553,26049884,278808835,255337588,120612924,818270566,713988212,790347750,19099710,92695610,376725301,404270887,716722565,582533559,889958979,102641439,501914051,926757613,14633289,653476358,736415081,970267289,650287860,670710925,855085978,891046183,655795636,431892716,679211064,248380657,837610515,676163700,153629147,459229857,671573062,830281455,596057407,936670166,287013197,192164446,980990740,390816208,934542498,631076711,970641919,467451663,356901889,920627624,843378964,898524355,761808047,663799447,590479885,430072083,57564303,369798365,696972611,452525695,765701606,226838962,539619984,896814690,397521927,695447533,81296124,787929606,439955988,983224675,161635573,854381594,177129388,185547037,887624794,221931249,600816462,733073665,910370145,114686897,437485077,863341806,501838021,9053931,759546133,312968900,254634339,709225937,300649094,995732236,743435725,888926342,962819185,700389830,853288255,822977590,607231344,603294436,254202060,956995867,785615133,483367706,538049782,833595097,118652448,53600746,565477479,875515443,320488266,555304249,622984510,725781097,740660225,915004905,125795075,231831629,320973517,971375215,416413727,19369321,818811537,638517355,732642423,404738070,883768603,221945452,628630828,447463835,213374755,793083226,535617260,697307058,891073176,49462967,915659272,406236695,4172174,967581898,589077504,463557772,587011878,25681370,667278613,824751350,138415654,818998509,244348375,566289087,505379178,719960320,425268390,833923057,107288952,232791640,903518268,819430027,635068909,204151962,203995830,621749655,120617360,141692446,796948433,859910161,307679122,458190182,301631516,408047460,827044205,945829145,438580256,535655861,654752002,820438095,552227983,65279650,245565220,457305011,539439573,461009708,729321239,954511080,194765059,708304314,446710905,621024607,337774371,800347618,971344589,250340891,971065072,525152759,235402812,259290305,539441840,242781598,246111995,26879317,589926868,436576020,980390610,937813048,634376378,587584248,777873570,836464431,372479223,368949362,293443707,242779055,810758409,610296916,717914911,571331642,75452382,375425906,281149284,423107974,150049876,869311390,902039205,413717965,41118469,461367202,916379846,258965117,700325562,303092891,86800329,49310758,952473190,538870766,49466714,735035154,524113292,164599405,877290077,446531628,654727039,565450812,494589836,357049151,97030971,677413473,69086640,982706192,819680197,953099202,647453216,758805489,690820344,390630169,754051408,155446519,10603184,369554723,350714089,373607463,104246760,678068028,886424273,101591392,854029229,899238578,609541379,943451378,677655517,365804023,517987198,316097811,630337763,118921212,20608702,853172095,529234628,414138542,434625299,410545284,764998678,960152790,580552277,596193119,581276702,665324394,457100260,133019534,873634210,53255530,497985717,669282348,571546133,241494652,489182388,810737001,774501013,680226697,200465027,693491541,113783516,596327367,676374254,120806007,496607189,262120651,278992181,75721762,854949310,462051187,655531299,221589171,687083955,292734943,314006533,946191589,562736332,946955199,570265764,733648586,677492119,444434066,875130968,88914647,553988425,610849011,189275568,512186308,64714314,892718001,928762219,668824200,191816319,994183189,695340557,511358681,956444470,891323066,686607568,990877883,208053993,953333254,101824103,240541336,361420109,902559492,76109821,773081586,408338839,154495692,784722256,189603220,830282775,861839574,216865899,172486948,723052708,796607840,602166123,654981828,646781070,486580438,373212519,874561697,554070373,167441550,750171145,118223373,300683884,981300789,432653897,766230010,106833584,964693921,386664714,626962744,11473185,314015696,2672577,312071384,275603243,694392504,166444513,587020837,86475791,294231551,215741055,699764571,116139525,586501687,177722947,564474623,652038712,511882547,471977172,815783462,531546739,152910342,16711971,425667472,37533101,600003268,914653573,402056459,433868203,229126770,769215350,375429561,807734105,75324370,752198179,601127580,771601530,620581496,373249689,530186652,957848364,853378087,487710824,997238512,867921136,542672403,705186705,54122350,559808962,493820787,142427631,12509719,522143765,110733668,516362496,840929793,771843860,979094839,67840472,885942071,51138090,760613808,226511243,186517046,181640884,565507634,574424189,297063504,323851881,103760229,241454390,658225333,26368553,178506139,637315973,539727341,750232099,143616984,68083813,20134678,499571753,770007381,712585131,744480811,706305647,441987970,619279583,336872586,210455073,75966377,871530093,134922569,166714264,17639355,578345769,145635,332270560,283219630,625282943,84102072,269936478,950431044,783972134,525673851,402641490,354256278,265235451,702634934,865872523,739354480,466181327,512846015,27833641,292351458,44133307,899987661,329438586,751599880,588113901,907508690,561087799,95427431,436519310,159846905,139508027,642572586,211911196,784693506,808923493,367118805,660581143,157778860,678716255,735781260,463543857,901630623,929926592,432638269,313909667,334644815,94732082,472254851,41725816,813657249,831659891,862483890,760375856,165957802,138950716,548867407,788856493,190796801,312834157,782140171,120039234,767506325,581444432,995401619,360786105,416813730,49064924,78119635,638015791,855921776,311067115,254350764,499887089,749059205,976457171,31214816,748181237,836496917,250619827,630893932,349732314,899372695,670644530,118036884,749881420,760297040,597812342,888852281,617446105,834637373,404888581,433887930,252575530,962884275,277900486,554245737,319506045,258954451,370921394,782675613,761624438,978806362,51065618,995089471,185815913,937819890,321820508,65378678,776461611,154775569,770159843,869523911,235135585,749248182,370507750,337676952,211749682,324910470,402202464,691789883,978287174,377541733,586508972,921078682,341660957,80867431,664669371,791577960,142420963,40655853,253334589,378452395,261206111,849667451,345437009,763928719,345129243,628523175,86382500,428696581,408207142,49910328,559786467,248794057,6676487,201370850,12648471,267054088,839719785,362638702,975517714,596639507,230421708,362762923,57787446,743004975,633616035,298801715,464893346,415110350,696591795,298937150,765366805,843120015,669037895,13487239,960168215,862606920,968644335,329802181,863102717,839104638,976203464,598119310,843551558,995177134,69168761,649247976,711017717,254636619,136728592,607723295,882064751,511429583,559246940,684821565,255356174,524354061,562206129,823586022,134995736,717068194,545773852,267980342,651986664,915101771,538431240,902228229,542480907,180960353,901305213,808553644,302801958,835952470,887023268,807365582,863312452,891841,827027403,788340107,199522754,70827764,841959434,258994338,591132244,279437053,616385878,203635184,128824370,970082409,627212132,901849047,119777219,610000608,295999813,695061694,861311570,486737863,58456488,374900942,319131727,865393319,953430586,919040101,584692873,731531993,998563224,502694191,848160792,194895064,549824870,821187886,676343041,322966670,154202671,842338863,296181701,430133676,439629268,702652307,216386072,389741675,185817946,440387328,894537922,336722056,973924095,478261103,992907905,364378103,352038298,164151351,161125679,779096237,635760530,8088846,960330672,563516561,803763353,623728659,463829494,800826562,48280692,89564913,157720853,75506721,199288195,266824590,22431626,983518810,611747341,702683777,95454039,527747369,146117868,611998825,298655910,994808582,476774076,747444674,402995445,603051398,221373106,454514409,555724143,878115456,842958132,800243495,112083217,526598869,113934522,327129830,421966678,869831096,885780597,674522806,269282212,706389509,705681255,38702430,404985527,249996177,623868707,293286923,438744192,442519584,861374360,477487083,349748852,865333113,440769555,536533373,187442392,784096282,26932394,241589254,55175047,538862299,160902027,737579369,85103511,409643639,483318631,543183304,620725431,468217457,224757657,978536901,791871715,710605863,33312080,753469505,906728486,209298248,399896029,625752086,286975498,693872612,430959972,109166424,800032686,840371529,613495193,822426667,165521172,771762221,612143940,805452791,73584331,820997608,350094672,299617181,781675916,291073487,412860254,510915688,704899772,863034099,315875887,106086302,301712802,791203342,167196613,778633799,174989425,18286133,647826669,513168041,590231295,575815779,949480769,294281935,809644322,625869164,969686783,719992388,633544746,739388324,69248318,896692519,442685441,583561100,789766844,356052239,140149248,412173036,274380692,734888340,375918521,884867598,413208837,495902991,165572488,581953179,963544308,201208195,638228065,730158902,946020246,420116986,97300496,94579099,396413086,919275372,275620808,739431286,330792837,331811130,683633297,983400538,273919185,41527513,639414538,747065240,212116645,881968589,107885185,300078257,886969463,669995077,448816021,899806604,30000900,893603686,486668473,929726267,444341559,80741964,128118760,687442595,258945335,729366318,182120644,389861525,290115649,264665261,386219993,310644253,519266580,400353444,30983579,655025070,910821985,727158963,904171034,840231768,56347682,299367596,974453300,835834637,954753125,654116376,689251059,938156675,427009525,913353246,154901290,673642788,796176844,864864014,893580269,338726382,31892362,43263181,941985369,261983580,261556368,85995705,729063824,398764625,739091344,149542575,182245285,450378773,947518607,679578960,566394058,574925612,15751191,746112028,277174192,309954594,316786900,634284768,21746509,570478224,429581392,585301103,784214977,497577212,394136466,898482550,307675926,9537559,821626235,310476691,806951780,988109586,156038206,73195493,884297747,82754242,822937850,915908519,588564381,434427486,502479448,84314377,760195689,875107757,547265520,971203689,226020219,331910469,966153157,965730160,387092392,311717364,882214270,309760050,150034346,950966700,474236987,637672854,674590620,353389932,789294112,418842060,462039398,346011415,186883243,783371307,321195572,763131578,707931162,761293684,857275067,450688967,365297895,826722743,867620367,751092466,542966857,651936638,520549115,860538705,562477681,180730138,701323489,643078766,996183122,475096869,810662781,17540252,362995215,869884826,404930008,300005920,698863623,208365879,103827198,442837073,8668328,974687216,132832980,655452843,260181735,559457259,787374062,445289976,246924038,620039171,662954386,626280296,697968998,571940671,571402991,170638761,988154874,850655062,653603513,618953959,155732817,217036651,630602896,628387385,722246879,995233160,754228094,598346886,117608204,550053513,131820839,950285522,839445244,646084628,700314276,737370241,255640417,153189076,994981342,286059797,711656309,345438216,35926743,678771606,890297202,281235431,240784899,399917064,509325438,763077172,779389632,799932195,338383869,116872261,689923738,203550735,319193010,441439073,738704912,669585777,730641692,266021944,189893970,774543085,351706363,113651295,734740611,918495446,265461548,659659326,391900267,596252484,365201030,598274221,370826911,244510029,689141182,119410676,10343580,439287889,499146090,331794920,666567614,281992529,502770083,305091160,201666550,728994232,204202710,722555787,22464031,172876159,827372965,429315435,371820638,452214155,39696828,969206450,705760693,812279939,95307565,4111065,617655,851741487,107999871,15354719,396442631,735278380,131876443,921585112,741527016,484966030,830165491,372460408,972897367,465580542,853402983,526251621,162979560,88253680,639921709,223661240,233702433,834760908,381341548,534289448,583711114,617362645,414329819,73021259,91277810,149139162,436606813,156866303,109296135,643616911,693398491,346259067,455421565,677197809,893005993,213208475,550686918,676116780,751275722,94085680,357096623,327463044,910670295,786183306,475353918,881517271,973964242,687919547,298898408,224958673,410052733,780675438,752229324,938636524,128854994,985251938,154589371,317368160,175436951,670763097,134708138,92525470,445876349,9870277,823279039,832025292,601866834,657593542,562114049,667899343,259256387,449730514,90049481,232889706,302857085,158602748,379555203,177568239,313187993,158365268,681219686,390645789,19342663,427583740,895051127,725934247,76089452,378303528,382297831,949516414,704001063,226980081,561009316,434623712,215981203,193900780,48503257,867947979,50525230,187521487,160687268,158211534,122218198,41112553,918600876,850075240,798956125,416523471,641669096,570315789,940699243,243224063,468155632,926801555,694412756,126304776,983508325,96026416,680153341,709498101,91442717,992558391,419997461,196021007,645369311,826927240,494233052,193566425,583102363,225153408,322613966,674582672,44611739,640701898,8581508,375550018,652309558,773872686,915241885,591860033,490857049,115041257,920666949,356913049,859505755,16679878,731155980,734651919,194382589,722172786,597359734,907093853,265924588,324885586,259480601,243852158,800676484,648674980,734824566,274026659,569733284,303489513,950644676,625403037,165031728,472276861,412850980,709723947,15367513,538220726,589380627,669108141,513956987,523361134,173567461,268745890,674414148,803506583,519645396,983132447,237961585,218250916,623856322,331580081,499916733,788439496,867129642,556198816,652043849,64417408,372258142,602375596,399859994,248075779,564989100,319476826,19329350,626952412,845826669,719685576,451805181,891062739,666376296,952883424,921822635,469565716,687551490,906916656,960004330,188624276,82723782,275366813,953368885,814065722,162099127,794357798,508063434,551654224,394171122,497924298,963612472,47335286,209101940,876856523,81206168,647375608,867035131,594211198,314479061,532062269,730503093,25382420,632167989,908275038,832089108,859392397,745438659,783398541,594869050,777814513,403902555,749908626,976879765,322519990,487264781,451080455,768566840,963689504,956909630,379760871,214794607,138260268,248705930,865181611,690514283,119052845,308179111,534857366,363487890,456694794,68423438,709889323,490492453,726347823,285193503,726936701,224472328,955710675,994204844,575981905,202346463,318950289,864103813,899140796,857176467,864910678,688999432,668873811,613386244,360945398,838928068,937954184,833571945,961740823,614495158,838626033,547620253,261583236,686236176,195364830,314636411,835726227,74522664,611565480,858520189,720298177,217538070,46481923,493923236,478135761,916479343,607810678,297391607,677904747,773654039,558357951,555652643,617572874,124694055,882443707,906941998,355394326,112964691,100472106,36881425,709494465,693717979,561017375,133961901,971863953,481571089,324289225,843451368,278959473,399226812,285579945,78482752,417278379,428924163,775015819,913043980,388307991,714962673,460884407,265627241,30023227,181732789,937017994,563602271,668869547,743843327,602918341,96439516,334038585,176299133,787008171,937862774,487375385,409903689,29132219,964945257,241356155,649303935,358294921,397325414,220586918,851883989,557898870,747959571,1156663,10480960,271586610,53620157,860978931,652996630,794127643,933697420,674632487,88067458,403708304,35256285,43914945,255850543,234732819,206817332,94023423,222849008,67875524,852019111,488458783,590622193,19301788,378079574,375463915,149529648,787005579,790633926,281263642,686351790,934450906,471731947,295900320,972080183,292897916,620832144,235275649,117411466,622645231,701293943,681053313,581386546,226124776,915370984,383103454,901736473,535980730,424008117,554220558,625554190,841458974,304356743,144978538,792142906,759017383,323808241,139897770,681340962,267494673,561628911,932328241,861512346,184630696,866136153,241088282,58676422,334864133,641431435,453564203,420333321,107821497,469861846,953120914,603508891,783813592,297462390,779763938,905266075,616096518,788619104,707675929,630130931,670169489,892612188,266190309,562573589,684540397,701936636,387117407,417406534,326834057,133110960,526988889,520532681,740095320,133375094,180346519,299335942,243801356,620944196,735791181,408196243,153998233,900096231,820092296,769411869,896530768,147048906,753000275,17746593,768119246,614921133,592559349,899387616,440376725,527994247,68704492,497622519,61287001,621093931,258088115,471988152,774106770,710689144,356125804,902896641,718302370,744993559,330500311,573449279,234058350,21373459,217780589,504008949,697327891,836937429,467088609,537891470,270280412,434344271,803960467,84444777,347503651,599884060,777709014,778884240,181962406,43030662,533763747,708954442,93029678,627304698,940082859,53459599,583094296,537429716,462352188,113027941,521464874,549910627,316053539,53902286,838853294,726530849,379139509,373985941,648801534,423892201,736178419,8451307,776163973,389451609,500402603,550454654,973473754,324431379,878704036,534455398,901780046,350129121,685953906,909412156,713328606,429443220,543783702,521191758,979198648,353724462,879663608,993799631,484844452,24848104,955427905,141942568,590771295,552453013,736274028,116067877,88925904,48414268,191487445,558316821,183999024,573345138,797299896,981515883,493258351,686263625,39929343,890564813,875874168,659485263,852719729,257534565,211274719,945830860,377340725,352421164,184800603,106936992,51969625,644343678,222517051,475164643,295179641,680088666,539195866,221932867,784881018,255498536,264594958,49927463,722288873,221146538,785135560,99582529,128756142,59352238,291264479,811676475,630926012,947380867,214126329,975880579,283613796,126042478,372870386,711488531,272122269,831466360,685211001,125346271,466799008,315452855,364880166,49007027,984657751,9164978,804217705,2049449,263581761,344230816,623166199,242279521,397344468,583577504,936579884,28380236,218643714,95064749,19977315,922579290,371968273,523121972,67246632,769156572,647150692,229397126,530149022,236543736,175240155,364330900,939420927,744129181,139243439,387086470,891163341,968153719,520565693,484789336,723605279,610639127,608005870,490360624,573757589,54053021,63732927,244172885,715329966,44847971,418999532,438198856,657732023,757688222,504152852,914632687,186725859,791873050,234933455,738160319,478151913,786484263,252377528,135932468,478995225,363202526,212509401,320391497,534839415,466030517,759954544,623134661,542232528,667133635,337593371,732873748,788773058,490014758,793155137,800604579,285728211,651189402,284974861,84334217,41475237,256334745,565545805,370262567,756355197,366819468,49918500,163111163,478601917,778853449,106486145,284149223,662441035,110796247,683839526,483178694,551874305,398796274,699577285,118742729,367599290,602239483,630388583,144621073,992187706,746649662,617926710,750120746,153336042,76037972,82169988,879708995,988146344,347829385,699095545,833610981,695445138,308891230,485223142,106200028,803773752,847263200,829808875,148939117,925174048,856652746,769624111,748778060,622611248,439189205,999562693,353776032,986849973,818696263,206059914,592999423,267166713,120320461,879492521,319451236,977949469,467055967,9325256,506195155,113696033,314428178,110264589,918713707,218702989,747279103,63550672,637886578,412359030,194763760,362527211,718662614,455439376,145586915,250152678,449743695,244685004,770872414,317640769,81013618,737532282,515590961,541374555,628868034,421757720,837653538,886781920,891521400,250498725,729143583,36219749,52471322,774066491,759637083,881255802,761308218,566902011,413489429,973843296,270912492,244159089,437504135,406389056,459326396,439253318,515621856,287381241,701790927,924293223,774479979,908409961,96875283,385572489,815651137,284859709,948122728,772397431,417289356,128887741,811764897,65415832,214814416,729420550,244351556,914997482,86873257,17947347,211607219,55422350,869138566,98839823,488760678,629313263,599145477,576604485,749302865,44447713,666422499,913621468,41286968,263640051,8430690,226742403,858080467,413309803,465617442,862685254,269636798,885344144,597792513,279832370,733396309,780285949,364920942,561388916,236123094,57277316,395967465,866739189,923506524,676921919,741366127,983787889,33316734,300720930,349739964,243982600,228498962,371615839,377044750,402756128,366266447,794831306,729184717,317210475,519724850,995576522,862408208,729612085,454968405,77004022,535249291,429590455,810539863,89488124,149068650,352139401,874487477,370030145,577191338,797907638,837272794,386502608,636777727,393006584,462939091,476730583,628345902,463764081,38829272,776658229,201287732,227713219,863415766,325934344,888290701,716696955,416599106,202094387,456096032,103524342,230451257,998635276,342970028,918080754,22831863,221915146,390624461,437206479,394398030,243000000,670721054,912445961,74864262,476547875,801255080,729739227,729221810,624002653,648269782,128130116,843043130,63665483,316499054,231346872,881481429,79174268,51306796,789268367,198806327,636807586,111801567,941913818,485453654,769935806,231757606,477760008,744305469,23629295,203837574,217151623,67965759,8190394,446948106,876481005,313672514,934273856,532699571,848731664,846624933,517222488,841083327,200760308,549628088,460859838,814780401,843189296,846812980,859058037,291660257,201539829,109029071,494825648,880472371,598258397,766585137,873375955,507762524,205978125,633289121,734034923,289580785,363046386,651070685,318899903,145202317,73908216,3142068,846707767,7113165,858063193,644999694,808856820,993748726,221051976,15598435,420003338,902969444,694745684,828167871,810904867,317734049,191083092,808201616,986075462,551687290,715309706,332578268,301789762,381606632,843232612,339239828,984499952,336255863,360770146,496901229,911604616,91818915,768240702,318069251,432109927,419764356,247799605,102817127,791848549,140468460,12045087,302047297,193839744,150573720,705935135,403407650,564932267,740460372,757688892,482784982,913791137,363485331,345569238,950359899,93062422,629685502,847513776,925100076,718142463,986372300,919229573,404923887,471528720,704229689,745418910,283346025,626718914,702953297,676166469,453608470,730754799,902331172,329668504,553498284,90026620,946094141,924677701,115634849,243796448,478829336,552531469,777486156,602013014,199524112,579007450,48587912,8358767,681495410,796860332,114434910,648172113,738184908,317997965,23349328,42484611,644990308,814706888,820503307,718176532,233861260,58672922,98283572,295881315,843116494,243359375,911674214,316653367,563060777,560165272,231632551,967808205,273204379,704473631,627151166,652375849,268348197,673816725,325816970,180343180,966174754,585075566,446336585,547582773,224067922,204952166,338737959,591493604,896926445,125206887,753547725,296537993,269487239,210098904,415865744,566450721,326377800,434989884,29970038,177151577,537179916,837105710,676897480,765071744,337712511,730605054,678657310,162712899,73558948,630873262,941409157,904956337,340627376,335451498,584489298,252793995,811590417,162560194,937965402,463608421,351697922,299953999,77028390,699881357,739619696,523972260,732276412,74782845,877026950,155305330,491180858,471141939,509000990,159701444,444053003,60028990,815655870,948952958,97932922,302771436,488966978,39943696,696874510,239288884,846085380,285276767,246297884,965050473,269465290,501472407,94469383,965106662,974278269,687454157,740899227,760903207,534875943,920322773,726930556,905597667,134777919,423669592,362289628,718879036,684409563,226265314,143266892,121585634,473663893,505957348,617015910,545810339,42416038,841217058,254594564,699268568,543532012,776506428,210495869,879550592,457153931,605571461,185263474,478420582,440214267,764221488,998464340,999019585,348346806,819345373,770270118,328424697,475579213,780403117,102381261,882208094,89997765,807012804,458750682,64519435,728954279,203218941,769231203,500397655,517554281,577070807,402720915,714218465,966165376,974814347,320917521,862995438,938731897,286185221,534561390,603199838,279734903,258680720,372393945,701287795,288179654,74648268,117163070,952179512,346482194,259050326,790389825,578954253,661943953,71558136,706157438,695220544,22553693,952684967,86500704,215999817,65908789,303018315,398722670,397497342,805904607,684178989,432307133,272727537,925110602,70159148,205435585,21906141,871478165,530943217,600367208,883731665,278231993,434103141,845572613,331282809,890758999,483086733,414585638,556984683,438581130,398892726,705728767,277712531,595503689,32482125,82003183,279535338,405146322,905003159,487248654,296781320,226065754,22795241,31944465,228149790,894909981,124005246,514598000,216688263,207450543,723845751,790105238,271695677,72903010,591802009,166198351,966747001,921850414,847697476,639173146,672985428,654360672,38930364,615929832,983633030,8835968,770034920,334184725,163424463,373994706,761900776,306316197,433002814,242273226,311241275,778784712,987947715,638426621,626496423,395284020,533118818,423574416,733483485,730727351,591641676,702168136,530162517,226803345,849265858,348815240,973507787,717119120,931609226,748068158,443584370,504224731,283973261,29294275,955948979,11258704,564938254,339774751,744071891,907835982,92397457,524038045,382560811,172080338,129515527,928886176,327726128,517668380,41343112,945869231,458576682,193244051,475253942,320259643,136311721,776099463,456006334,245804384,675576800,359978700,357493669,913521369,901534771,593630558,744408305,170260732,144936252,506827243,427410807,986218071,172000910,709127117,619688646,889963575,18840956,543711174,808206974,857169470,50886794,87275099,650881351,460537741,879646050,810488007,671665385,707286958,64200578,655026126,553719640,91233365,323320711,856932891,746826921,19157953,95135123,104014495,702146261,472994556,578185033,898070864,699657337,850016666,724087635,72376413,421168232,631426931,296714136,297479180,957599232,497847475,355432644,877041442,805016511,673194497,31097010,237191936,958691346,184806223,707349700,24622857,891101226,850485744,563985859,185372338,348282877,382013156,529347546,768969458,903769492,596434605,609058558,709613104,757032974,875248778,536290552,571805823,774476841,333359946,189873424,533195333,531257363,33553140,96354606,997826886,443542786,580129941,501283751,849492301,29179980,360739097,184705719,550518477,174498708,370793071,435537138,183035156,546190171,727800269,323669353,81971452,715927126,635042852,379228559,162319545,913154790,736839744,690367065,284561553,408592547,386431306,502076370,776332442,935900269,432106808,717775049,716946335,664418038,711420724,195840896,11585560,404386916,513054013,868824830,920076748,175238985,833208655,531183662,698433053,937329688,433580610,895604239,261140546,516815089,569654986,512663801,581619329,431389095,872988301,971435274,862526288,226627610,319272207,205210774,622117200,923217463,150625902,647398667,472282282,419121646,294631655,576092446,586418990,242408655,258670650,831065741,232982921,463827966,536404483,957114841,943615484,345288404,261464510,530384155,101601990,836944071,79641783,704575063,821510669,915433760,864410950,927505142,206104110,222516796,687944239,931241837,9243085,281234265,600381204,16895487,693140415,642052399,64501088,972541029,518111532,266036664,846392743,993923893,716347145,141146981,946226726,477001904,793987103,140071203,33204314,585478901,363591863,998890976,497501213,557255484,970405444,28227915,655328291,885990146,170531223,605501230,334129286,295496697,181637058,939276393,543684612,360874346,647045756,433906655,759840919,380079816,324936924,867252024,699384748,984998296,28204191,29373904,153769521,957897651,274895551,76556346,51069235,968402492,450484417,962816948,935018419,770040062,590216630,560679166,734426274,346188120,612894029,666496828,824212602,387313157,134981767,572658141,770379071,430267150,650520413,349007077,523284190,35880412,500495379,524147664,48745947,15233558,19489814,668036224,216990515,636656515,227150935,833821348,873782787,454448846,155161264,139859645,612862153,873871450,752479549,542665885,594496792,643937142,986144816,957816041,883772613,477225144,558224944,510631804,557594918,943588438,763159942,634978373,883757948,638236268,940482311,616150143,244927255,456974788,714735556,892428236,732314555,886301374,453015702,988653086,914816734,10519312,795554260,146071247,364327336,698018543,938121404,872106307,183891481,160239925,380273607,970726066,671797814,792214836,79527292,158057141,378849799,830938767,453424408,946481827,208641561,29817330,404701453,20240999,240941391,205506889,820011060,13572413,476682267,232325224,245500566,984881183,629285054,76919553,976633877,803773721,699622345,930462214,222126497,473871246,538145309,461799840,708874837,924860910,387352601,755795283,921577676,685085156,890896196,790499022,477799837,52142507,914931803,263145336,827355181,440261269,239159666,589009658,975581463,575399382,423694655,300925534,693845629,505751867,588254858,706460411,956683067,962324950,19204232,170036417,214514882,541201696,498136510,374826368,608268625,885967937,720542104,104227274,827998256,84554812,72458141,791249573,425097027,807003161,982002914,994732675,468127261,671358602,782369960,317799042,145384939,242133778,778355345,477138187,656981445,942544258,981265209,320189147,67853561,951889867,228964884,814019672,705739715,585127128,225467595,769830596,608704377,907681319,315170825,849866770,493344217,958059185,45919048,381264700,55646738,870686738,282420712,495126066,372819491,547544083,138644298,264562177,813878855,406658793,810944312,97367274,483631052,296983907,800789954,191192528,796689767,39147558,97681407,118982634,715402925,669600832,156384380,287790075,773714053,216878800,229688724,91730127,149996630,691284980,400108935,367324551,96640800,504237405,217678714,74055471,66491526,707653825,542853192,428127996,216704955,543728001,354600118,188393247,64068703,899323411,429272645,886283685,728239886,823235610,290963866,771048478,84556843,364594694,404242004,667466130,573765757,12372859,446331684,529432113,265792451,500603186,875066766,176489562,513698152,95174117,802303091,63690658,684579233,184036102,244479655,769051503,351910673,167611055,595634616,108646009,410616622,731904193,543672294,793146628,971218977,435061682,330468673,567101916,339681007,417309905,106522137,662457098,380584950,841259532,417296723,414640133,86146840,691431511,24958705,151409647,544984737,745016960,297916835,884833141,632257310,837155737,285790629,719791707,172960546,318403324,627769689,715669799,958640570,610713626,826450499,809778506,965677433,598622562,343244646,844195297,18036010,668029946,836398434,145925486,854004060,70763827,34861353,143402246,144524644,989783120,769336667,851201145,372687590,78477705,526419789,969126988,357895011,59387627,388917625,864175196,651520698,876988379,968384986,261834486,874835013,74602801,379609499,543906942,61554716,186356578,629970048,846910324,329468652,50503345,326231778,543850408,124553398,38851850,803625465,215582731,624638484,696489744,828639507,84616754,302638473,422705117,916694750,305055940,218648246,992283505,552722442,33930849,70107543,240240361,412295933,336015128,618647554,837385498,861134480,969488578,406710011,268577735,846138148,949450669,859825702,33858967,931848339,900810978,477557084,265467053,82661930,962523347,143421667,950951991,192221293,971110430,859367614,435098013,519617528,476027942,112468806,424056327,42097006,786810272,792876291,826034255,291637928,38295626,926469602,135976947,45565748,861469891,828314052,393669869,170864220,112908162,256658066,63758852,797088366,166129785,776785360,211080611,441271392,259311545,135637411,528759008,402891449,879143227,606879316,661886261,190417934,741968692,151131335,656281264,944011088,301258972,162526355,224577933,233121901,513644260,186916431,826138007,799999207,758904719,974840222,356750522,741213101,28197275,295032380,704341215,47263181,609800198,698950786,317795865,550177711,351931304,94470693,895827688,209057933,835870878,769973034,968895808,966798841,422840629,406988244,979618393,180104053,91242857,779830079,951849963,397869634,845328085,79297522,532545797,246709541,363080326,67254292,77083263,487909674,919920000,207277677,124092212,372687464,913149281,620545734,738527769,195124821,445517334,56466180,476391591,515823874,782140203,632954178,675954149,24850130,240602312,250631988,654881467,877791219,851193367,477820710,660753598,158719491,750489604,680454504,195149741,543409457,825095896,446263310,96229602,245104600,724872414,314060623,897589964,881596546,250350783,396926474,705314383,330558523,980062111,796149493,674811586,791891020,121387826,692350987,462307449,943848788,737692950,123161210,551508752,656398699,901705389,443181639,754693639,604277805,306125925,756960630,813606399,230666577,100981563,351083580,129208490,501072656,74316675,85472309,318432614,189032535,656028550,184111103,254939971,889999737,855183396,93388353,113155590,297056668,732128387,444800251,215299851,505709642,737512155,543542831,236225077,436272057,32929106,371616796,938394400,950717276,623385347,357129800,906249759,616113587,227465443,383349018,898784165,701377559,340684249,106114586,730912767,827326728,871998015,843269938,841751999,463662346,843803120,888385884,438315550,516443924,376845132,154291675,543792931,327504933,479954589,600075003,21651795,159596432,333872405,596598213,812608731,444225341,801041848,343629743,13896159,876266495,70004632,12571559,229135159,643856259,346634405,391802517,942118661,276158429,520247069,358694284,457303457,425018064,556832282,833308084,775575864,514707862,466315055,209007311,330598670,354367393,809394048,736275145,219521949,990584169,99278815,774556327,134408240,230284410,390862998,751124590,899405624,272934271,574844632,678640376,362199681,921892032,750244632,583756931,571497070,443326612,389084281,527775626,43912368,306501497,591009230,569758158,980328582,126692175,43071447,87013294,602335496,346576933,74807718,627414249,9978230,287416714,948445893,242171497,721724914,911932075,284112217,850601881,313735895,358112566,194971182,117153032,605233136,937046399,749530021,878891557,551703667,617422420,980979054,452827952,391411758,899921381,504975528,799522321,884156255,60618558,816653900,368569935,350184073,889851978,790920355,205692030,712789485,590358025,108793766,61060083,174825221,764475126,468864015,157674953,999681726,697921083,834878552,970171640,204277399,92311844,968513919,909752366,676618781,477056366,590899132,46491492,482236456,163873115,713624163,697250127,336036136,161659227,625538375,161861964,539792550,308481311,771785108,181461731,761112947,636869415,462699868,204277542,356281836,12285448,147677896,441078147,187060773,113907391,267117339,337126916,224005462,666604566,306036264,887672464,627236084,850252019,156045892,925442707,508670816,696350876,557394507,331063236,640002895,35407870,234641076,151790369,607943472,292655944,289601652,72730343,418167231,924729281,287209651,380899109,671595932,553701793,141302697,314902010,831951339,832439276,339974816,275660018,614385315,544359201,448107167,486880255,859366778,5465148,370813241,87633658,409000395,690884025,136116370,546268230,96022786,795950870,778050868,54889553,913805309,992338269,267730003,251714190,372078835,760298368,909611236,953522692,813802805,973118189,615951557,485192314,239609232,578058948,982557728,434841529,870854141,269926672,211103787,559590877,132632102,733784718,22405694,63787653,535200627,202750729,651955880,417649088,233855484,867104841,358253286,436799116,800008590,110155457,240458095,334625669,679318025,709930986,619346389,669840902,973904384,779738945,759561330,424780055,967467612,560268945,949477666,338572125,859656993,685343587,937227731,705140853,48344109,18951735,556771290,260027411,722026190,933987230,799512919,120297053,812503725,38224828,89816636,513285347,53423485,170977100,872130779,785727821,744249599,806779766,7668171,270649102,21750586,504846251,358627443,411029566,349082514,241652977,450269385,461591700,931882124,23265187,692078122,802953520,290184719,508902087,658880174,148803298,947245377,203297454,160961216,208404700,201246478,641906347,29764624,671179072,269891554,684419768,483838031,22539352,668620852,86558175,347902793,891482597,246995302,611116868,904824780,107083874,582098679,733503064,580846735,891352095,430468568,768002790,324650218,607307530,393421892,784929440,223550593,503070351,558872695,955994170,954905525,613151598,192688303,510635010,923542833,512252745,997890823,522204813,997399672,816585452,794941905,603995751,927938364,444395994,884967614,602822812,29059190,762821261,988786263,9099927,715979502,34374309,481536701,940979333,747258875,5673684,646752137,962112032,10136576,576983697,376369791,430300296,349945589,473702758,240642140,647939317,527903497,742740935,348430629,297540506,743219192,36294792,879362823,395366220,119809385,909921622,187472659,118805683,266118030,702795323,131712592,841972304,152492742,935494351,808917460,412002585,59210531,87775266,906877557,916289822,122119195,405081817,16574665,207672203,637238136,478801407,820982703,448900929,605882035,464649343,97647335,317829887,647171225,710270612,632781032,110461794,613525651,74449948,403440931,387585029,561604231,622050143,840804994,96296864,246391522,699538215,627150052,779901295,209279994,440130458,312788613,510369858,297086189,390739295,884708305,229858971,578272510,915835891,484256672,955298663,333008241,411630624,508077021,663885661,469600236,376980240,200673522,574419448,292668495,358192098,944146252,891325880,695543809,211331729,163504525,587295260,97648747,276421622,941863258,151673871,578382767,246576195,598063131,746880727,843117422,486710546,185463097,286520803,140748354,296090531,581473274,32032301,963900725,666739002,162152382,115292942,47792170,175716485,578283676,766277538,480872606,278113172,819305991,842885678,346160156,661157710,444157048,29181397,516238414,142926449,715409874,806094053,143612014,694417955,788174086,880736416,143857191,415549819,92387957,120416653,43174815,449401706,127811276,408075702,977533795,580986024,696636278,323670792,566352355,311507901,240754479,513012377,184827528,398532777,894617761,90082434,699137063,130822160,366426365,119811345,529859520,226894169,889460584,166873267,16333668,22612992,95322665,633358374,302690951,715934458,123651182,466082148,657903002,595802193,5799723,395789706,883902071,642114024,428308441,979701351,777720115,876709179,332538889,232925409,544161267,335583320,598889867,896556408,753727113,586628175,988287113,721151323,902306399,460346444,146973138,160605781,257603123,39790478,765899337,169386609,982556892,209540248,578699075,745551659,378793816,108142294,1799315,805647775,833917799,312720743,685791641,452681219,914293464,15240643,523776806,726085577,987473956,971254459,283831715,638431362,225634583,777112030,586443550,316908482,35971162,249314171,742617540,493427233,996142536,41528691,12171165,382006435,813615288,942850098,735863001,717711678,219776004,335776818,535388077,274196478,706710747,380813783,400863923,251875489,96961365,144273571,755103290,621983174,535303188,386033466,600650184,73296030,962882627,404324016,241293051,147525610,255437320,765439751,54051675,282136741,561381177,952700846,426402967,179311373,774263254,361984363,547994636,138393261,331543729,332770812,707555296,987220383,345930078,359021247,311971885,905755812,489866397,428933345,170994206,386391723,145103068,85662060,667516336,197283554,470113870,797482288,330714922,303272531,131805153,582690722,292265383,103200303,567875857,905241537,636193136,609807477,114093752,172287790,933713386,172175836,557087258,709231264,946313347,170056426,713803018,10641456,719064472,653919069,104000967,158802678,986867814,502986035,8056914,994499126,785354446,252442040,969753736,486338665,21362896,321999925,618323000,223022683,389125175,643570581,679765310,873250597,20472660,271068353,417111976,635861730,960302840,320422954,955543385,613237997,314479779,702301691,789819905,563242998,727709933,104970003,352210988,389340740,689229277,505317493,914590859,97261561,156429978,329256582,986320092,955343167,608418357,211358446,390046792,995166773,727507,772905268,317553089,131393370,924021144,543361104,692701319,889461118,60087007,794936747,245274985,117554833,974712488,306110196,250651028,462659695,691227912,700557242,543191576,808307571,298502357,877877241,598887971,475345532,428858717,623613046,853142602,5940176,823049685,406930559,39729568,817569660,696402804,491990040,124353060,130967204,938743547,69706916,35663534,570483983,248998169,143209424,793674611,48378595,416039885,514212401,140645815,38310434,718830216,566671271,671308358,40742041,878579039,221255041,896595133,658870554,751443022,648238062,700122099,362811096,841846185,769707091,889526992,735930794,273344514,486397214,108150417,213170575,803989989,975422103,461003364,673731947,982852612,989183174,945744090,931291636,54927288,446520509,208576632,667880767,234614270,825609432,819343549,433181697,304018187,812894315,16419547,821836858,210746602,62786045,77460897,467742801,40918231,837459602,908678895,896171482,614977721,329667359,840929756,599411284,63521810,261988607,740109007,283732559,561984544,773027594,815563296,501926230,797644293,705873791,165169491,66353534,809018851,673131136,391860501,359634532,421925888,749135510,566972576,210135147,65050849,772896666,825212811,601483129,452806235,105738409,295455317,677189026,380662220,769112673,34444817,190653494,820714897,425807465,756009917,224548719,442160213,455281408,667987684,394740208,575666021,799631588,203320519,193622798,853746866,667901992,596872864,621067049,629124989,893419701,821047595,990571468,306225910,716741857,222173136,755581271,128678196,586552101,234314461,796204519,790789301,500189527,819200240,236524150,416980345,552695720,867632708,57153096,818045233,450722181,306573263,444415550,395552971,601982849,800849517,520857953,457813291,248176424,354445568,529515278,123791706,984965617,385588410,283811546,719693960,988997421,859294728,9141725,803468339,279879917,543445385,587640023,302571940,366879167,501608887,468240942,996247885,58932320,18275384,231121155,708630370,578367479,927676837,747379621,646297107,690093097,989451226,404928327,714181980,279694755,820097880,433444076,139771498,582678772,538714249,775123331,831829355,507222582,107163489,994438286,898672757,919744423,637808815,704595917,702224731,455455906,698796936,285339550,872182579,562716676,201234731,862375074,541435378,238366036,746236984,784249985,133420147,239976697,624929763,798106185,199524593,138882332,750652375,928821489,289671838,406888460,626180032,456528523,616472734,817440624,44941298,536509370,68007678,440206578,145109004,947340191,860939768,549028357,631910835,193738558,172320586,20242775,985414839,186330740,670301703,49515218,271590540,887515888,511508667,999924627,928691585,198025574,278455234,575496364,839949669,847315041,291280566,563862026,163310631,157347865,330392463,453667138,790734550,24860928,262861120,696814680,305792398,178803813,131057582,579216520,320678795,90093940,815997813,67829503,863933969,751119236,87506135,792477305,103356236,454766194,872003249,936036183,47715692,421770460,290278314,798802021,699280073,325064405,787414279,943909903,900421774,479452237,221903334,280934808,2736175,342472468,687536791,529260484,174376041,741418220,263755756,626301334,317760797,260758519,713423500,415308849,561195454,217963749,499109725,955662922,429191987,71531800,501799089,188865312,718305927,416529161,728632616,462779994,580205595,889915334,361097692,391732092,462879482,11364672,575670546,99617937,935126145,419265807,841678250,742645081,72143468,243304447,878295163,377553258,89568242,239166601,983951484,231851425,444598786,583752810,175799177,645828225,658034160,114492453,323378716,395362181,685635342,62242603,445512116,179031261,47354534,258468962,75834826,464096676,60569516,1148157,410765643,259353187,529430046,451655396,808653204,917216242,683007357,83778593,10510338,749528061,347168377,956892923,694940513,383375539,928286032,114063832,865061420,203654685,557863440,798918046,765009768,787347140,545208566,680970669,25503588,356426285,927261766,732017521,892266263,488194652,566953646,839051699,670576110,213878972,980796052,280444148,315564087,195528852,102148936,839991225,151916071,954368873,120979623,665793011,64461344,495475814,963340978,380042803,764784660,436133482,831515997,796739668,204735844,173566806,439421739,782421097,551660635,402612653,68476461,885811354,721572294,197535973,184562215,192924504,769761267,958412091,419701188,361859137,876181907,552603913,286715402,318579774,357111442,940767138,617494323,708712391,129628486,212770791,811488605,174877559,399316331,564281582,909138907,508364778,891567784,30000961,497316489,856141933,537564185,43314122,283648923,444005104,894947996,276975825,193211468,580842508,852394302,768080764,210037348,549881157,55948298,217070899,166819403,290380122,908578792,294146588,108257057,138657736,570163454,833899572,592698651,490708240,744928205,464827271,218198747,383797216,673700066,102349891,510260196,850688535,529607188,689292466,636410462,484969774,883262169,208321824,250463828,31754939,942951640,610437894,732582410,772822246,123112012,664706812,82702259,146700234,328387320,355522575,865808334,344293037,381048705,492268882,193422256,140058299,908733860,960953598,726363950,394154879,985720116,443530815,260505478,382900745,703630264,983890944,378831388,847165580,808103374,924421768,304302718,425533912,935592011,402664723,967453713,335913276,727657788,447573773,827399158,227658645,857199118,433737299,426205454,14961062,330727284,632180593,389169865,301534664,144669735,195818667,589641655,605429417,849624055,962063010,705612189,369680507,491760566,130151390,371799820,7649828,926066955,298864892,459686713,75951519,141838199,2022073,360672400,995271440,681950314,213838349,343135082,421279119,151527135,914982551,704371665,981141003,836481399,383219543,964806747,834862181,636100822,373832751,929524975,707820065,826891122,998710104,600751741,43702923,611758807,540734737,32752670,944724561,720739690,879135789,295470074,589144283,719229156,30548842,498604947,563135053,604009750,898737668,966546640,639590869,672183606,280548435,13116591,187443183,807474103,169415203,193152060,959693494,158277431,828566722,41702011,574313919,219111828,112227251,892461874,483473527,264471151,183102642,618965012,533985337,143569397,955502465,53292424,653969017,153790661,877190932,345791657,902137131,135679105,738745208,236266754,604272926,972420370,160523008,262031829,953343331,197973309,65234771,211834110,820242087,654435690,117876544,506401914,750150116,338898516,621950475,16181949,798702387,106709232,13826661,876658973,104000590,202808154,690299095,595729816,643301397,323877730,297777216,13989614,922377895,350753160,694509508,277991035,720459748,683041462,413539143,360359316,813834407,779101948,401160568,685066243,376869643,357491228,158851430,644682358,100373933,859603509,500747334,888082707,282754342,457757341,532652380,2948609,16254612,342719626,420249853,211636898,330220770,36017210,2339268,728825485,112276790,408147851,211773355,426309864,66082527,921836670,931349837,775731733,43722937,657197034,293178567,677072967,552429256,640143864,808474358,685854045,423951761,714533840,213164972,592565922,642101617,350689379,34913472,239291636,473733831,927055318,117297053,144804740,587701686,356162278,649139353,701320825,811986856,824902778,426697658,443853039,659536867,613765802,136110943,206939411,854362971,838228240,584048129,419497266,159166509,987001882,142020333,998980575,939656032,56190079,837614335,90471104,853695092,124686073,810635338,777250927,613764389,418207056,827824649,577049578,54607483,459155841,317477662,559419056,773195697,97938056,581863346,46297487,113584296,898438388,618322733,203423728,559022547,938766389,119809374,276902935,319493308,156551190,901631681,312317724,130907035,108056408,736234348,585324415,197181451,478687086,606661636,380050833,6459561,394848214,12464262,621070195,793327019,252027645,231793375,354018755,5219119,219707631,262859774,282768978,462561195,365499126,773863438,583983783,98151134,28633751,272515221,614070035,586763884,723738649,283243923,920976043,316664167,887831195,440843759,243689065,63472663,741815318,992463042,775464448,947777879,527274021,946072478,100457046,169509822,13467830,584068663,392235932,239454510,403679684,435641965,461584752,909469567,775582869,196885681,629866707,388550171,172670362,318140544,380268617,782499826,696466947,816213879,902896323,20079659,29342698,613436978,20693325,250735405,310745242,3353893,694337601,717407246,880944813,599799369,669383452,304066699,604577967,326740607,404944348,697721834,440808658,581584746,397365361,47579241,309414350,833812143,302636640,172390188,872112511,575914710,831162131,698051312,22949753,785587486,31643859,616660562,582810953,71821263,581620677,270273767,852455731,49273196,724038376,546665635,847356882,854426633,624709050,227519058,606704103,403561023,636719235,397884546,130117130,754396729,899834678,298242858,362705477,51144826,735112731,477609910,907479131,22467798,250814610,836553146,105528222,129350994,245670049,938445283,896188584,684758741,170672606,590654267,852909970,346782112,697669411,695451293,212187734,687975078,277418562,460452066,478244391,883377172,735570549,609327750,721911133,991518215,390836158,96713729,207163383,356941033,901919528,994154952,340860253,780269912,604155342,997899915,806661683,247368833,246795439,784924589,879727963,565763387,448005580,608691458,658653970,297312642,561583232,505625346,484440771,719883044,29634863,707412625,281275386,888872051,624549590,351800435,183259790,688889972,466942713,384460091,452390939,227110060,689623803,473900608,250131661,521918815,616319148,249419342,356534311,564640176,676779585,704963942,418231242,549553595,299006552,923863198,193852416,686250583,221535266,268430507,357301115,665362416,146473269,759852153,172162872,736018386,838449085,66004204,891192167,786307698,769648622,999588054,412821103,968362234,98515912,191726332,223329202,389410572,192966055,205597169,527358375,8262336,669884635,143098815,832234999,1483786,777225002,74277934,1558641,790373364,271940266,781824791,460438690,504001533,910759765,910660415,661940815,747366719,892351003,150901558,149270089,490770176,122933572,372867313,628761306,207037212,3822517,893890365,334482285,443779427,683644816,548362365,222587541,848754849,227912924,916709666,407619599,99515491,990190472,646046786,640471507,273327980,313578681,117056870,582819445,904218356,225798770,788351660,622056127,639558709,13539901,844858969,357533386,292020044,493980712,788755128,197794208,527738252,380522422,224969111,302977041,977977822,332180242,934432170,167827132,500492891,249366552,96410552,746587089,922414610,911235137,448278667,784348332,57416331,593225491,856399779,842528640,156186871,620749373,78785451,774461370,835217147,421929220,853129529,319045001,874370765,344391903,754294934,201782612,711098510,392989540,788634882,707891680,269800052,326586889,882435831,242132414,782071493,157141033,85776491,417833560,622130429,66317624,750682056,854176874,746567924,696792547,622793065,227247326,459887907,936852761,527729311,368401290,449300595,203917648,888173730,555666812,905370142,587405853,380815101,53750786,354060332,487885518,502120738,107318466,966452551,899120774,301147836,158627599,746668193,449161010,479922398,26275448,883714027,188311446,718268148,693427355,632497217,380360804,209656722,610878926,869291919,136667829,944516826,548406991,866707717,687291201,453965074,730477913,45752540,70875801,123969685,529674065,585797004,567750099,680991802,846544733,596044458,825970617,267836369,393413684,593324893,468606398,91117135,972097509,142542523,103045253,547657907,790643050,545913651,30133631,232411941,513916303,45300323,519493285,32579373,237394487,655995674,331505993,77683927,542430814,688616639,936806911,866477245,251284127,907902991,689741382,839654389,537678996,972862283,796085401,809960278,417979261,529429803,383877936,450792801,282781426,436432544,303352449,623330065,299438017,609738655,808528303,623407049,577826572,11327463,458159990,414771553,525483863,617747750,201491013,169519321,248537923,947381861,652402786,67911911,351620329,667810578,10473782,197214014,106177589,117048964,586628712,121257459,182426924,249930667,21002122,364082117,108199469,544209976,174292284,773121479,42352401,697424933,279410098,166232318,656552762,142353021,189898692,949611774,306848993,664630216,168506352,897855258,833590386,87559798,521149754,852612556,909296165,657375660,495186784,254689948,644209034,763387436,355181267,19320616,979422779,300292233,344068642,980375218,105525376,88253358,939778701,838942120,610612867,994816045,105514711,394207258,326991288,335869922,85998738,595242027,303023149,634528197,89394285,779515048,208949946,267055870,938697586,854614051,185245003,699594787,598775692,658825337,679386898,351877405,731354577,146834343,99128962,747507300,318548288,70151273,913204432,47405517,505080720,850017889,681182903,218124883,42198316,725729666,221391719,909433719,514442062,705164428,424204630,719454258,216298730,927457804,376009698,364690013,794126718,803333581,212028580,831608656,553407929,925766485,100257577,472292202,245251761,131666035,603218638,148273479,12971044,92621709,354362202,32081930,62704975,347653043,317177199,513447489,886430424,77043977,119526735,770366026,346296225,290572064,938141588,345477243,45847431,523057056,17476776,791543877,344922729,634486369,304090301,531291351,988985927,782371749,575011352,538911930,799699871,585997607,206240830,533809113,360676008,206118078,560300272,79479823,611675573,270958999,523627039,194816654,916732536,680149003,473984670,400921278,939229953,895007407,935686466,187452479,850869117,335870360,291764299,117118395,478835661,200575876,200861258,286759594,610723415,283682825,410195261,511572762,693844702,274037870,215279426,622633969,939746069,993145192,895586520,525124491,985982765,469141388,389532774,236671135,818686599,85547650,25068300,685334392,133989866,802813270,144153439,877668158,693764835,315430606,482374564,751180018,533972397,636480274,859495173,851384603,671688909,257677172,748744846,589301644,573849378,262631040,593637835,944376894,368842327,682616025,393233711,111713127,254886180,499556320,827927588,731808489,242897958,744384361,113335117,917552939,471044691,522236704,599627797,150692741,456155692,412722797,549442671,347107335,390292152,412919466,438367551,151425188,92414080,181599403,656433497,237913972,56665766,916704590,878773471,906306801,721847904,683297165,528143122,56348014,370806584,395779454,238276771,225917520,443698934,322257537,133005297,733083416,352030484,416417987,31046177,789610154,143078289,972144169,519585422,713773983,743953909,789468052,579673103,793077905,561509525,547511691,593908937,426791970,304949014,92605386,311836787,351572040,416125165,15472407,735831411,737020969,498659090,960977342,285434549,170962514,594956944,309926421,674016021,916315119,29939701,688865608,426322789,905395416,397284131,471742146,296394215,387697167,505295992,345166291,477731925,769333391,96180846,460853583,234052321,798098319,849346879,731258574,429623658,401958066,71962849,935393286,935306780,809304567,507944616,859484908,286095697,662967281,85859510,296579683,993281324,422814357,33626861,611097269,572518423,161063952,160650037,297723925,250327663,471902634,926101990,154045072,780099016,552910104,804265347,673658970,778480557,187521644,870275979,878530300,777726947,453108825,961072409,578291182,36501843,216442318,821779412,12635942,349467917,373418970,925297933,942637689,365317250,367852686,49791316,419923008,811268382,305959333,936228679,317854878,743876490,333509752,935519233,722300783,32138366,236289356,411396024,866498365,25533157,31403714,921008884,249715479,221580585,259604756,785352734,473300458,211225496,245946816,878165324,114587802,894937202,852051504,653135057,864154595,293382658,140584367,214829093,541484804,636368738,275908913,630990221,52287870,135102029,157684645,551869617,256866758,867163657,313571664,230201671,264659636,365218866,838051052,361977820,506668830,958067380,94215046,394261684,290131835,201232719,906987965,490955060,828745297,325680669,792873507,491884312,309420133,368844860,360275305,82615682,169824353,438015288,720404055,22496448,974401044,399085001,548353350,764889531,169949759,573087189,527679337,536934990,184154604,947085119,306214358,835979189,395101060,672311951,638748746,346214892,145910820,419220379,633452007,82074997,569742361,843233207,468175601,836581049,433826698,238339172,962079774,172080233,606581687,452831506,225247041,696785545,132485734,335275890,596403077,235472522,7311951,51374839,488429779,345241863,415525054,80860917,323782201,944627672,731920277,554379450,531284688,835425170,932370287,740648950,733268791,878758718,295272248,430588860,962686527,765421094,336808317,806559711,300462122,169516450,572985532,928559132,704134186,138111481,20596399,2397533,892867010,971069636,971323697,391576882,15306792,866272869,182721887,460134764,619704157,732255009,769073573,172078313,890065983,446203991,963161522,435109120,225052066,56883933,661502941,805074765,250239271,585018648,487906196,881558834,135670766,337529928,433594809,398879773,548362613,285300625,98432571,158374060,537034894,805816233,49044300,124122579,543925542,585773748,980897343,898348949,457553989,922350488,752938305,708119865,172528328,471951795,609034098,989630209,841727420,271862097,351706597,256718269,232614165,670509500,903185872,982459788,363350187,970600865,814171627,357990800,808504596,531122928,572208398,518022365,122547055,124470049,481557735,769396486,3495307,103349173,491768391,104537750,195536897,602217169,734622399,106565302,868728965,341247443,235533602,383986358,684989650,851734868,371465755,672574893,74163486,504501605,784942139,736621646,154109523,508281373,745708661,803155514,211936417,713077183,771442077,685768328,314937687,794244951,323349738,283603904,599564081,525123408,756461336,162522900,642476502,28277410,760492107,380921533,848381540,573222682,155204004,871905629,349765603,229753852,435579468,942475017,537401518,664892757,49097599,979515817,733596390,291916738,924533445,5237515,835901177,198385216,515236823,192555486,112070315,632609485,965585751,28355587,961248183,16759605,590769780,713999165,844686638,560919609,955981811,826128466,31136076,763754777,973511878,314183718,297409165,434118760,974092364,834781362,183120393,733824595,665460098,80130820,616392854,611382187,940138038,826243756,275228295,665025095,84795116,142488551,768655555,619278626,376307873,770001805,258571358,967199493,477627567,604871755,770956248,346331922,991286173,514976182,830629451,956044352,248850561,440387509,482276865,602783791,533059261,221837307,243283294,798792589,220381983,305796150,659097514,857179223,160169776,562384655,524380909,29593579,192403950,458152320,710712925,544206001,2189089,843515265,931146764,468134614,420807519,854981143,37322675,601121046,450634292,621607298,164396962,662130050,918427797,767222412,93498564,286046994,960351024,445349969,472744730,567226357,926401017,130218543,252744011,142674459,441669541,22203417,415433244,807555956,569271461,319221987,954967958,749377940,35584261,31350250,159355915,388002186,199182605,724492140,42898601,377948317,839718206,780466903,551324929,378592251,510179683,141872831,696800866,637044321,138831305,724838741,50681291,641321803,668999329,83888322,730985912,402647325,343110130,187938311,645739752,642275207,551049599,36141837,32033551,131636805,342801278,192051462,204043333,302454997,468686439,421545508,221590818,975016376,700155211,15183851,847118995,673173803,282824164,973115914,443666189,987340313,533526077,125472168,694143633,161173970,426497860,715045458,875176998,218430033,326657225,644865309,23933391,167071016,398223623,449389961,725517176,128904936,241319892,49696880,605030102,32042374,124249240,692645923,853223384,162263594,940540236,909835584,945664999,46034178,446675554,514360176,261262499,165505131,995566070,836768339,203852759,324415270,310159539,694458590,154373895,212255971,336434345,303908698,399332118,135701511,701081927,428262038,416121134,2218658,603925156,122414996,872572839,713113718,187728101,163765542,753641172,885075064,927388705,288985921,848642816,443951843,729206188,882945987,652814722,976909454,923538500,695773511,718966519,954757456,446476119,760573933,970398455,941429085,410347056,364893492,447306283,179404217,864039695,519300250,451583160,760150404,252545589,427959888,903556055,5060832,758978429,13078736,894393961,886413421,624665766,529331765,145441798,423309500,5701368,494734368,381487959,926821008,166128837,157119093,650945805,262320858,720653639,13919612,193906056,141383686,812764885,134504427,153452702,779744098,803848399,371249709,468612421,909276166,764916539,460693708,435203406,969071140,18112654,576341769,611312664,721846682,684390252,993611079,166118612,690657594,622002333,100754341,990659253,25186307,838338647,262217242,874525662,366571802,82199410,268389854,701461894,124803758,619268577,695615062,973053757,984550390,300512020,792906532,725021225,213221716,865494131,164528207,626659692,710289451,412492345,799777047,845554355,383097634,460923821,78219324,816697679,442330272,468101124,719353050,446670631,661555455,17933926,490089616,935480244,92820514,467853163,317070516,562951588,777125215,601329505,466104218,333510011,891970822,175348915,48044660,904657631,830131672,616396728,650764363,652412519,501147544,484521989,619607066,874257758,14142788,258778420,134421995,684650543,995525689,675726598,699149849,562090912,256886552,993136461,209995554,187900142,359667358,469366773,928610905,776757799,880269748,358732575,793762438,672760617,346914643,249295820,698077454,315429962,194822823,270560,32065196,193479561,732149753,968817337,761883097,830753,946073030,730397015,831964041,354793996,959087495,236418845,568660035,76201685,564918274,386928675,349150986,116505627,457554331,692203413,291365098,22519046,15472805,223507623,100146284,300694563,829247071,672021530,945078586,234683603,26442681,57268515,492648311,267817732,762499214,307340057,266286106,22789079,105564697,628267543,380802673,840694527,383421605,789351305,742661675,63982133,250232067,677301124,963376201,629571313,581368651,540139265,315352492,995731916,652243234,85860182,911952530,617270275,457447134,971435619,375843644,666288526,121460229,600592140,143952232,898468791,923614341,901705394,220682387,25238581,652077558,893364186,721335697,832488786,299929164,7048817,808122349,493831213,770353336,609455737,81316157,47707244,201351344,389040217,317102773,681938890,173342253,34405110,648830192,981323980,515698953,6372545,665048853,617199746,478730093,355610841,298273073,741419122,709908993,571790679,355661072,924843415,586160294,53228001,147647409,494488994,31549834,550954735,264318373,536313245,401322785,508119563,615122054,214915475,531666473,566996142,515377467,916359065,522304736,787386686,909564698,228765854,116695588,478852948,473005300,481356062,348717616,984063960,14317413,286773810,366615,19707164,688542535,321262801,591153012,918875252,223927970,59190891,746177690,527915232,96171570,590439468,936420473,520674289,131791792,899601970,395891923,654404096,789444026,604373936,543551305,844121449,921104358,731741792,17253410,999882469,450934822,239207533,674360674,563015352,841757334,189041483,953373394,722807309,652680376,496732536,784995206,137132942,407272146,831711854,310245725,732028082,166962027,125070710,561094953,728309579,907767201,151323696,638055342,129840896,503873311,414105261,84435840,331336178,84108599,304682092,139621389,468742216,450355345,842946636,79244312,94293806,825039370,804822231,621202289,198367794,883859363,572222452,842336546,761156656,652938617,527694132,224785750,970398563,938226703,326090918,741104246,174270617,14628012,163615293,258692877,813007055,236982895,206444232,125737839,145214723,148140948,567708674,559262431,598938337,176656210,346089052,38517754,246935917,996714514,716373486,373631941,109296952,277380732,9867536,573803764,994084059,996296344,444276926,808475779,613073958,650153119,380426480,674645832,641407710,599796556,579061117,618187912,921512391,978205515,765527425,450412050,918965883,683879666,91092704,2060337,973165258,260370625,970268658,607779034,921604218,354228084,255790563,600977888,543505576,162761113,659621584,862427805,48395682,659608724,515051598,321131197,795616390,412024338,182602409,113725272,577317006,806389805,706419690,768788117,716617876,555245957,626962554,609898936,585042482,572481961,662775524,26152675,775583272,284551047,805608448,46601761,435877133,642608809,225014936,947351526,674191420,94210197,661630841,501895977,589819651,56061857,591920205,306335498,235720179,187996397,109076676,212258037,18806379,704921619,29065513,312245014,460852442,113347196,348777197,296894075,954047397,166816684,976451957,786001657,382433029,103159197,999300705,600062232,767324743,852658857,27955141,946093509,571307419,478419613,69422873,32791318,504900661,631976273,458459298,556288675,830436046,409469613,633680916,694853189,234377872,831941578,307692878,93417879,437991293,738566875,29071738,967752955,345228424,799466808,486908939,247079283,332321175,359442027,818467117,782532663,985861204,950448050,942953796,870979853,168593535,873019271,943022554,843553954,450166857,387015546,563474530,753992524,496994008,973012857,330964207,216826113,808514236,160913572,563985531,484514245,181387609,126392208,658680021,220474408,247048587,404744375,125869550,794243357,330379701,789365091,937270256,488452043,178860235,112572671,770123010,689369859,494579646,934655351,654444005,299942220,354339838,864670265,869616167,288397811,879076025,958726295,920247464,438009021,377635852,457329646,180891798,551936712,754547525,38700280,424439215,64218147,773993782,122170188,156293912,112753837,108442117,191980910,124773611,322228571,417582531,148906922,593528441,504597850,442460132,321169789,10186217,498967481,132185195,869232253,55220946,343517944,100150656,874898699,818718240,492391063,937478415,797735750,981531107,360110763,997496965,164700734,437422135,435714044,555713332,423260531,523466755,296687039,901003093,585359029,996656965,963849710,185492948,151472620,858181987,230733479,593391210,686680786,592667522,125666884,530561946,378864710,725252877,557674108,467491194,630581906,685866809,971681825,703236088,38175141,13354206,879630360,500469866,662703637,6505129,160694368,707358224,476605899,274298675,42032014,968437477,427251980,369246364,97233556,509739248,281690967,535537297,137596508,756828402,785510168,489688367,290147236,616328296,261951265,29550469,17164306,294223944,421680359,482058167,248984997,515860609,749347651,863347129,524198958,284379674,270125988,315262257,30308059,335552859,348041033,147266523,370007756,922331939,359728108,829072467,700259779,472753930,647117325,597886929,631911847,751884093,211146129,246130219,280370701,220406260,23599735,688389490,54601535,869184516,123853969,891353789,729129868,455114276,331417358,107235494,616292797,202567167,722053683,17026864,921951687,379550553,652214052,784716637,865145873,555924123,99729399,547450891,141630236,265366331,913621332,740596852,802453918,293227861,777061220,275644209,53013662,659243083,370686554,550178825,674325902,746585199,891043801,229634964,718833785,531554473,562018886,650003074,389516143,723981737,306577384,797138857,843159529,60495958,276007533,274747970,934860618,297264474,148423922,410503489,409776418,288385786,735392563,847514490,561809620,795834628,858394720,540503720,801566515,420477314,58582833,384586716,722603957,990693488,181655902,608918611,628265379,741717925,275043332,915487751,750538532,446629638,311708560,903285376,499891289,376591808,395533892,49006501,600765095,427077902,741301863,332126846,7895827,894881512,614524168,15353313,912826176,568593747,42297770,644000572,391335302,880313573,790265985,533221853,388419280,744998837,376307201,343379415,563973690,235881475,160385904,799045291,583921334,717081597,267094819,996746242,748753038,38913665,904533540,905791671,679199170,543778983,614208087,553788239,905011652,525286002,19772510,441615032,894373481,951361320,897959878,344113971,623528071,469835084,446104348,543630107,884827011,829092398,822504001,782524695,661238212,906555986,695220599,402525621,605874754,833459458,858710397,628579473,62693522,574975796,663299575,900923391,424744909,517809985,972417857,161187141,42458426,168473300,842844706,799715602,70935144,373215513,277453353,846343474,75503954,613618491,34807420,713323123,149515617,26598624,840877756,626474967,125714371,515929801,202908734,314326717,465234945,295602001,431272976,93391274,424645419,455274020,739989340,516717877,787740422,475999874,382872511,464735890,926129047,355207206,369760677,558002190,262163298,430086295,203554272,520983080,306518520,726329248,99640741,285492629,349943304,775752325,992866188,97207011,57299242,998598988,635711271,763416184,44656149,163390108,797855174,695305361,560243809,179157315,900190017,953845994,744799255,649814180,858592642,249476167,960317777,349253487,853003288,243172703,70458743,807023161,275930756,368443496,373115789,407970033,913083795,789317019,286122178,441322471,326415897,405486483,203995852,600903593,77100505,786147360,459903034,474584720,249084960,3804547,647981135,74503689,892895756,749760613,595012395,256318116,499032197,968098591,770320295,760007083,26849484,770409054,788684182,880440369,280706893,461016767,564237910,973392124,385659270,652583441,633931532,189626842,35337614,608785619,860278743,30178449,160783387,603302242,263556644,568107144,376562178,964303469,843004581,77276115,41244275,929694283,768122525,402469877,100600554,951630171,749427392,977723268,961905471,125181640,683234812,876978079,319051103,314216376,765210395,99409402,977335358,228643244,334470828,881027766,973854217,518503526,56526401,376315483,332477269,590949227,953996370,728062481,84764756,336207609,802005322,605535537,209438327,857802365,929955439,478441381,543475903,207241610,175088292,130028661,207546687,241634137,68260727,355639175,638650472,328898557,519092642,37286917,979764824,745882537,587966150,697758397,137629763,212066470,817832666,639717282,6357857,94212857,660052466,171796015,669714215,210660829,2044437,869069584,478139369,321066807,880154338,834061329,759616479,23548247,5172068,599614816,869266597,269394785,173262487,334417599,977517366,630838251,5192410,793264665,195534386,567101510,425764506,728736936,305960951,796725237,113248809,649262628,658287778,135328977,322625805,552922573,615922778,923744383,778221586,725033066,521285726,884105989,161535762,753093267,10312256,426179691,394872112,259252858,132563719,146785274,538561016,135912688,166948319,872183439,377116162,637038155,722504267,421955892,54261878,374690273,721221665,848806401,542707589,27636530,439232121,54998719,762110098,131228296,74606423,722656332,394330531,35968402,756010928,797987807,937013339,732045205,627435054,968848943,262942701,866797727,231936715,115142366,485794677,341469061,926416479,626966140,372881042,108259309,820940027,599236400,518091081,355753007,669431518,71225844,448389289,183560522,112806999,914329366,114699008,848940086,761392156,360583348,303794666,15735626,913144113,847340076,643982419,350417398,614673409,702316442,633023007,264069491,488132171,101981640,614999199,998504717,697650534,32951143,815591968,983040712,487424124,827379026,974278602,347211296,241092780,66276998,635873871,718247728,838659880,117371352,150349874,22729099,999265435,961592630,141434750,959745671,913412261,725444217,725871614,970988777,357966697,413996919,933504419,535578924,702360068,775608700,798756577,932210019,631181645,42123917,580341945,459090480,545096447,500471616,742301239,500676739,918250701,861937408,8280869,639926834,656185952,561163726,736323876,507277165,651666706,281074016,437181713,948189449,629982350,186579761,182453591,772837696,21585112,18662620,85708314,863213229,942777407,289582393,275613653,73153973,199050554,778575806,100848257,299267636,138664184,58380279,156407473,811008534,738864498,565535313,847979462,243990363,462176763,47470630,714911269,518052990,739199340,811462171,892763361,926994665,830055654,749458370,384326141,167063871,486970881,528990087,582449234,720493175,69040626,199769815,376541564,570737090,709910928,781655745,129254432,435152478,879133647,748862042,292922549,754049270,374622468,937140144,641874572,540582450,106467705,464423930,144197909,619269359,272323162,65440667,630113736,877130843,100224033,472705006,574935651,441585831,673440368,720406916,86182358,707790620,973604957,871929702,687504409,277667190,248413966,81196684,20036225,435832959,235781349,319143872,712403026,182482729,178597127,917657598,798732108,930724816,675858490,285556424,16284690,860555597,266862304,855365897,519634996,227539515,79958251,221064119,548463771,162313483,789262911,880028850,829245666,960773735,85178354,749243297,954810539,983111419,885457784,323032775,380164502,546223482,405159918,696325217,922387410,279357074,67387491,126580273,240803894,638710421,59490484,283585228,838799954,241862971,994659720,323502749,699300057,366918356,494727339,1024681,388277619,747484210,83616577,769593534,907067909,62760932,543825333,880901277,563001392,100460915,414154226,282745336,565682060,635321750,118299597,597759801,19889596,43042958,252100829,311404069,372771824,758661218,485544760,663996948,362440128,444026297,136780373,376442843,687414262,664594787,680420599,117875129,392569481,332488239,757949615,681925457,905492653,280609200,344219740,157434544,391064327,418611297,15755941,822219247,549602928,641015850,693095160,257923416,907260118,523343607,658059729,350444051,845394114,69644221,919554829,538461120,784523405,993460647,643365807,619933079,904180143,792262657,763969016,445235545,172714017,203987133,835494425,6943654,418420601,516283366,286437902,775230428,429955581,359414909,604317007,44971019,203911818,463184002,681839771,243684114,927102705,268090772,882401972,477165818,162004921,401340496,937816774,244556256,27431235,752251367,240273721,71801001,622439643,895958220,547884921,692117173,655351950,382446893,713967805,956142661,12597096,726864219,152098110,649297589,477932358,366418538,364509162,454629907,638384414,705524845,265642660,291184178,384856795,398303390,597833102,640466525,231011273,838529434,35418702,844765019,72763678,422894784,903584718,427507133,347922855,656495467,766618509,361805703,475545353,488531214,599609589,305472999,297064377,593161933,733619287,167749290,656300912,527812076,729427239,651175038,856840668,886077269,596789076,602186572,353774743,175596176,32898709,550250194,163051871,548082146,975803247,704015217,763413709,476166265,361463272,935941909,782410867,164197608,415075040,746644402,912222943,884033559,335395033,129817968,883803328,261814408,181745608,173942592,794380828,958514213,472041161,533027824,610650000,80838522,107805476,513203870,197600551,838247769,214463082,330068127,178707351,875667251,676601934,539638424,405589312,579013248,336277012,890338651,334536953,759052267,241601832,133324125,84521621,586378603,245442140,820529434,589738323,666336143,659548438,549182076,702940427,906532988,877542615,336775413,139824534,774367420,743734441,643112670,378428506,911484539,257865298,28523855,90563137,732487786,812154152,885681848,277288064,735080496,819510677,599552368,565844761,197516557,964974571,206761206,254786802,111656708,688082166,127106272,520682500,10998749,922304211,318772816,891103200,7250144,316276777,953357416,731365014,115373675,888961496,269780044,62009377,54525210,423956543,764845318,377753156,709944970,757549368,371389093,112542248,802309757,354180689,910308264,898861658,104164436,332310998,879768239,148384358,869276119,476857480,423609118,323130891,816150689,48948387,586158466,627028051,270823037,64202148,130775948,951650694,860515850,63724305,567198025,952893157,5652813,816611892,772709698,99850417,737131893,482048764,718108736,488065568,763943650,442413271,405528809,903687726,532356596,286199778,359784070,169860390,897382605,703431116,560576068,474289376,66383975,391618092,819853316,962693745,731148239,700566784,113234750,600906768,11152377,151966172,997445506,878214815,943385219,430025849,534811567,640539163,617098204,518944618,574755527,762810663,385058712,901167239,859972170,446978605,935839343,951326371,716241883,763576893,282408570,734330358,852471763,131141618,621043402,775298012,609688584,45033053,774534917,708269490,398003900,856421876,537959975,856394681,512548399,254383052,688604107,848932266,844529508,770908770,221347721,547104787,814451709,424062741,430361380,322808354,629665142,495331185,638295734,473054492,3759407,893173367,604273846,544750922,262007758,678585628,612576231,855981471,904367380,432074886,326565578,146318194,129786947,977241798,352057925,243776739,183196659,87982829,733597206,386320971,995770082,815630532,856413075,479942212,291367612,172526851,359013372,288363442,41506582,208740122,842104349,847089179,312925971,884773571,327643864,232034733,609119837,276284523,164823052,895983932,130289088,727145030,55119274,402362369,61689409,514512153,526171655,236329542,99150039,308034637,32575637,123102176,770539916,780399635,838864777,827309366,238902699,932737103,441688292,275118677,220889654,12262326,518057800,384044823,945771671,504151470,303785273,542678951,161018490,432971574,762193646,562971521,707460493,163133188,517197231,974382823,648389296,726138962,683280263,828474126,537440692,182201047,550027420,398410329,639210330,998791579,790501947,162938885,344814228,248730821,680270246,209266398,978135715,628616202,155861357,63346321,573211563,991520229,719240673,854074538,44543058,19838979,198338550,608332081,617909526,521968666,975122232,405806427,850595463,676397369,201244222,740138564,34425404,251516993,355289598,75929233,395319685,238423626,612112850,968175998,994268020,545132249,880453590,897492165,541999679,863220635,281629870,673757460,248446919,416769731,814507328,576033008,139385176,364848634,509828150,954731831,19765277,814222992,579854984,901438171,691516188,671461595,756926586,906590703,882675528,349252897,563938360,746242133,960739993,951927094,248613442,547359002,951771783,381561694,415192127,637439611,754588237,394282302,496255210,5698622,994933195,907694035,973594873,132972243,484428358,341754567,401969810,389891654,692401913,398749165,642201226,788787815,693469651,213818224,848703806,669865526,817002932,620790802,621178361,79921241,292246655,531276409,63851981,831544678,31724463,769271241,140019214,114444306,270719928,888284663,658139657,84674633,910290933,184906694,621144015,375356783,250200207,903142899,486742375,815664840,924860499,249473133,447126146,402262263,158494528,951075723,402369309,935739360,302252169,264303032,306264765,713195216,909511516,51542163,764134472,658880907,91794972,428410328,616090065,410124957,853888549,434113112,655926463,660971813,61671738,997962962,661765829,406879449,440719067,886385138,928355130,671344844,285424056,802308116,617030581,528752009,55390350,918529354,618733972,326398092,28284861,547675417,214074341,432170719,390952069,351741090,26296748,2673052,694014516,939907871,820004542,377476295,871721159,109601510,662308225,97020374,883996416,32878892,603636652,864672861,543631259,854845307,913986810,467607544,270468442,307683874,631017134,476188572,946463352,36678345,965360754,979835110,257071893,307998109,512251967,7396003,477526692,719334699,258741376,297284301,190384272,442954713,986939577,433662670,637571738,235354050,920397333,940004735,925164120,525665397,540082402,619069831,693072720,269134391,883068466,375159674,235250888,474537248,492380181,64810575,960200631,555035412,639077177,902359660,228427736,861917607,933816759,246992974,117868675,953526831,832727574,176791330,94166204,774586698,863252000,808846802,210002673,447770042,695469409,911321593,160602700,327364465,936455648,159184321,288475381,962645859,266574850,655494890,535703975,144299369,266023458,789976809,503890316,680203671,139364015,191721686,136303482,167890963,385733298,396973093,715545432,283419581,403820989,449881610,508224619,75042411,115470705,453024555,84064004,20904844,529457355,963783020,703886942,124543796,201389325,508971003,89681260,686259307,510661876,55966729,98563160,245938590,359653537,340866589,29932285,425929960,657145626,925923682,202314685,40196349,438556220,329178285,336514401,80331344,112037042,591593770,723325844,150521601,268748844,941604590,685319323,730969331,191662397,747874072,584712626,592284998,811073002,309901800,487784316,495397557,342549,517391480,678012624,700053136,633299300,575102495,753113048,490321246,864922955,234006069,206424571,166370377,764339191,963833550,328197093,527726385,297481306,632912262,844063002,489659517,233332323,745716264,120465693,64599939,565186717,49558498,573250773,551152778,974350265,493266784,531183327,706993856,814713783,180823112,535218055,158783478,550771994,863674501,295922182,812045430,707996573,508054161,566243350,191383862,653252955,646602194,949034611,694323867,417958632,504639167,842839832,880120414,97196651,29172659,572560814,362298722,649535528,968085477,490451093,486885312,181035975,976337549,547139982,337117495,503150031,447207361,936428878,451994772,582801903,266214091,635636018,790944012,345248270,12741962,214919800,53820100,41039801,422758675,763194779,438899082,464178890,418685789,692307465,109754932,928211947,842319900,457713325,407058802,650592661,81577063,904111687,107733459,316226209,467642459,700214466,359875716,526383549,885657892,739879786,533693685,225702804,56684377,335648978,834115450,675173390,323355127,213027756,342213032,317303413,599508382,490635002,214571991,343461440,248270546,93225317,840541484,310288733,258696141,282684485,301374384,536414270,379543679,424287452,891365780,693093025,875567783,287458839,808369820,518837599,779129224,43555002,464957442,483246176,176236615,116493180,677096772,645590529,788249982,276112575,591886897,354554060,337452726,594553656,353544897,93095187,643456065,448008944,668074971,16469741,566566119,325510620,887961604,513855572,665116931,183537138,354347506,422683566,475405138,810563012,332120407,113846153,355063817,322886194,89633227,476510004,229552630,37330339,89840177,778656572,397002822,94849392,485367025,694110556,992617187,12224487,238333290,992811266,91532536,483736226,180596510,739263100,27173345,408703627,125911928,861707658,909933249,640871073,718649191,982093080,695650104,364255963,587972631,614725630,659113614,581891460,167484911,292827660,701153967,318799084,655692538,52505362,972450197,298359317,968899185,495797557,461394395,655070372,38019002,186209351,123226904,569655959,839698507,426793526,120001674,848351916,405821506,480391566,56108455,903297189,761871428,620921666,53086403,961706806,697013924,802968544,86403102,872084265,396286794,575144149,273949336,193530295,496525995,874955996,773897489,675185385,721082033,895630773,894417600,220925803,427868089,64837301,485192178,793988748,449254835,358706485,486580399,424217172,635706223,4477775,577906432,555689671,435079780,436649269,253352805,57146299,911139477,256958133,574888866,525536903,530507181,669548584,832034351,451992574,846941128,494354805,617309410,878072023,369302250,673969187,227944978,698974770,564197780,451460533,35891183,357138925,894039299,687040721,739011001,109340960,204171232,24470041,375461076,97196682,689623442,444955514,612766067,795003545,219236470,207306131,608629542,711786568,692172424,450940279,943399972,733098474,108305534,638927472,2853788,629484912,631183135,881045895,264521970,476875628,315664685,927815305,840244324,820409515,220111397,452781068,566725857,9046532,77053593,417307747,60528746,47980282,969094810,734039453,686588444,712645152,579084236,301852231,84284376,992391295,173936729,358698817,559465136,563989175,839834779,249276436,285357626,552524333,55245200,594761723,377939522,853274016,630083652,279059869,511031468,714894163,906414892,203828130,383852761,254628245,606424538,729864405,459009821,394219795,914954096,777334307,292424255,635270225,400426787,912680940,868550215,975694236,225345746,770787257,429666221,414083488,976120147,461114148,518664708,83378344,321100666,752176027,84185176,417829537,616685422,142298837,376507489,231831349,256389089,750251114,497344155,99737296,785409928,445599030,391378411,463709831,943547204,350424060,98078702,648220229,977739439,410295980,21905264,270807761,155101687,486650107,414508567,682891156,491444743,450438301,396565874,469387518,942364311,135027469,297085866,426610199,4997814,387654759,386297650,868341221,97460259,924991977,443923791,475943090,437277219,835412428,180220632,602503582,679935369,737289131,581301413,893319970,990060056,528583181,283520577,227653409,788528774,914711846,534984893,305561072,258743325,208881225,763111794,837963897,795400588,912682564,711440561,579732930,738611475,158395684,188367775,339899200,271377262,292146360,710453664,427125480,24925201,923055269,520910261,297253032,769302660,27265467,357231129,307238005,515072349,458156592,339329086,867209461,507438067,286882719,512847335,584614770,51757485,803903573,153341653,795780297,384747884,366442700,686951938,624505316,936611077,285544303,483214906,600606463,891373053,958598456,305785506,773577830,14563262,111792130,655999038,451356757,491839318,592122939,699094223,333286970,651477571,681952502,435889236,570648901,921546237,430392845,686303269,881101750,977404297,107414835,864528906,775178265,692808137,6729171,916698534,323378979,124995529,47455253,265320042,647731329,782944569,415726785,598981059,952068364,45645819,300773919,445493956,311457993,352758057,648111110,955593906,722863280,360562123,39504466,69827274,628550576,282895426,753905090,566140057,331269055,122772696,756422518,129123994,242031048,793216161,80180942,47557061,879173845,711187195,208458674,998156779,560146678,502187485,636399733,557657361,430011865,844270555,119557967,480599326,754138367,132542186,561072095,583659347,356367004,901689683,235139568,805532957,369317902,315674688,539263987,552598102,727227132,681758860,268387118,740922567,29655649,447875151,523405226,426879137,629213569,225404966,973957145,3131649,424747468,792110986,776632439,158725263,632443299,321052689,172977442,383928916,597021478,605674309,842521879,109270910,237990125,283103895,51478354,516567175,675950121,474644165,110706931,101161479,814855041,328136184,953984427,460678248,821486824,521578752,20893078,842445597,233110662,536073882,6070899,491169338,541791987,953268955,403568703,166272985,995507144,245669355,131836584,143237404,914783361,428490420,359013388,763076357,934794404,851894616,400615478,575199947,252570298,143840147,998842679,129003058,802300757,953665068,490687576,30981485,400652107,320686927,206088528,135699127,535210934,789090753,192722360,123819993,745904578,950065808,216337554,863177543,287556830,179610429,339373019,900506148,575211468,906496551,469928213,912749664,274044086,222048557,933476943,121795040,892948567,306476338,542454291,165673214,292313701,618990545,518742811,780617024,475490939,388777352,29664402,211933264,113782837,86598788,956608325,769782407,742819970,413804262,258996019,655892344,50889250,423199319,885818710,469473075,57288920,464987397,220016741,429883616,895420125,791719362,336119839,953363924,324661290,961383344,29302452,316003978,14502851,691389979,552753299,255318302,742906325,13188593,239626465,500563830,154979491,622228645,88528475,883732367,102230432,371225343,437314221,322777771,310265925,575705030,425779276,37407570,320350349,675592983,120139100,336073721,967362227,479389477,373576464,214528105,684809621,73117252,401728246,628585838,429562946,691400077,239461651,33079510,416929522,307990346,148355062,385836862,21993270,323707395,54230867,412596911,372979886,43546425,436452551,598217416,824073001,771656973,165006636,197586302,667042834,334057196,54960185,985573913,352255773,366381544,828736491,315964124,731340225,597816192,54173456,307242489,981869607,529477538,333543779,678681776,431986446,957594935,274522642,715105238,28794427,65138256,690066824,453782254,136173311,804749072,454073130,118473747,46643202,224010865,500031641,698378436,895636803,715504516,862777219,270643697,592770910,528177380,766582830,701729619,968109788,682287803,853035954,840258912,144811203,150456104,882087137,768645428,514332188,235985524,216547968,866450876,613073758,405670890,642175890,675622064,112551797,764218449,773474216,106901256,688242996,651886495,163678301,202741736,104273190,553399159,239455240,677757781,836169968,899580888,534633893,455484195,984037262,860915549,776324347,314179479,729847769,895319746,388116565,607396109,706585658,210933250,721296475,938988935,675925150,27411417,400129426,175543931,565538225,411349380,729076358,205395768,970043045,216538015,874914611,159232198,637960750,92343346,6125275,339556520,867185775,903669597,240849465,378518641,716811641,137140376,500286929,116509627,102396404,953789441,478043492,349468572,827078719,650132045,548386065,249657928,784289350,883176065,875473866,511087971,992808904,902602910,348186688,489586165,122216078,217022904,146886775,535364013,71667259,936965629,708139634,773297905,633253408,597442270,425404862,737423214,384278300,487473963,899086993,982531550,592740256,737262357,781015909,290271428,828133234,211626672,534344250,306805002,202048988,567932300,516249494,460312738,757281124,588771802,251938826,496167204,618220052,433565981,340154910,75232983,758184412,495618854,369834492,627827911,376876642,593123918,474041096,401725121,275413500,451563092,902170997,240339154,616834680,443588292,799057588,536191819,34009148,613775575,746886681,722240601,37772184,765972055,663959844,696896982,61379729,276675257,88233785,292402912,257465946,239862616,440377402,63715394,52404902,294408353,215618341,183054356,106784806,837400649,419876786,99286146,142745404,382490913,139390062,354892006,70651506,246121556,737308093,239813908,711253785,666311777,560776350,212928408,866454660,696044611,2386397,823465128,406493874,737551456,616100517,27470896,348397400,328766985,184823742,93775102,821164234,942485202,811473457,244526795,385315166,172633639,676495075,688818973,388784085,461061939,938448529,655258841,174208457,436332946,657400240,54981356,404583854,412748284,663464818,732871469,736298901,219193599,46259103,289557552,344594570,404578656,647824033,790049869,463404340,764765397,674085352,105217376,855703786,11855461,923245036,644644321,410518287,621845606,340544974,95062463,52787153,780594757,712241366,427619624,893032986,682149446,503870964,406004068,294550100,934346071,296310678,362825530,802791621,418533905,178001762,913224370,922326605,175378482,262134665,682530977,207979752,996973816,472767408,998976339,16861024,987024620,673834692,399439172,596692085,652521442,949657179,33973541,251392289,188212130,667242453,421549362,382898279,569733545,727561473,397487683,762806463,711435264,753501845,746076791,69601812,510257390,514519719,180051536,317091452,213608677,319291496,181898947,459640392,1260826,570243308,670106523,610077765,361557740,493450938,809397559,207329482,502743920,329817438,211796127,864415077,850825798,575765688,225054518,57236854,444015186,318381382,318163333,22866781,58976866,165719121,371582920,748308460,272761519,399649738,338158841,31759462,514974992,682757308,801164990,31712403,786330217,882478234,343215355,847390703,106478433,696097831,137781359,215306131,536035612,70301654,28418496,98422251,177477857,763525829,724399276,524161107,945439952,718285180,904590532,367484346,178862069,210981193,133272729,782829828,779975948,214082941,905906800,196735092,97629186,401998992,1309135,384495691,87164178,381524951,747908229,258613503,857775094,511528684,529155034,3892900,236892050,442061365,734521449,78687372,354125273,526388541,41692542,984642719,774581516,494317064,547350126,19123710,28668667,919392617,415768241,795092014,221859952,318476194,767763050,383711792,248053793,767953111,678776616,444295899,238604791,426653852,635305334,786463072,969406340,892890754,419254193,142386276,742571975,788142112,144421321,512684191,292666379,301968560,470532311,278627357,807983453,475754364,632766953,647670689,4491528,656977701,47496963,255040743,977271273,111199846,677455132,442130607,139437520,424242510,181046351,728666858,122133193,910629415,183141283,279640298,608172145,841857944,686973783,88067233,519167458,910920633,57897382,140788536,382010048,853053477,929943141,80619984,553643205,383716227,897167410,92838210,89523673,858121327,806189957,581510164,918692397,727764920,141192989,103057354,416615187,181052914,386754223,117283255,116744352,107876835,142217033,841565775,693752787,551172192,338495693,185057378,720011062,693028111,813814167,581516104,838672758,664026559,361226798,836210323,149544411,634203948,903143800,701236869,874021604,652868437,419964383,450438185,306189946,465132877,256845149,185496894,247655037,648621801,785943410,110058370,607686725,302930475,242951700,648814829,466775753,172626561,522230370,823959636,669065160,776533785,610247571,155600806,610874345,874257109,490741397,819928806,294609210,339870442,712324637,305617798,298968660,781174243,478103255,948648115,666365048,179723839,979665869,256856553,162606996,48696894,321788711,432609218,727176980,675769685,764931003,943587527,159659281,6454602,51230891,535837892,762613317,66616438,459459743,147258921,80120588,971179724,990614681,933426694,169378120,940226552,171662375,49009516,667032069,141368688,211686499,32338413,715784474,299696283,164933582,93188307,577469153,103301458,664955202,51871111,933823576,119570170,730086066,157270753,518089592,228469577,677154030,865893788,418393504,879193400,609921150,775778897,70396072,213992875,670280246,932929790,867339999,503231391,723483926,165778155,885655461,356115307,711207330,587949339,107402201,909424595,621838503,997099283,806773023,289567862,773249799,909858779,945189338,559637767,28583803,783455910,939817811,762386439,986390722,733684702,83043709,877762503,767189930,511853626,206911864,443358833,310138825,456865381,358404987,245365537,857941315,572549750,377633627,603974410,179880331,795842328,389034700,470890310,897879736,867420234,179354450,500695422,919361384,99066697,783558979,295688465,50731484,958099435,603766474,142873585,561093144,10847208,24423881,467551725,866590130,697376306,157560541,419727876,599885327,733899739,820557908,260973644,492330736,859575691,153551715,672540411,905551537,616352711,44419232,659751428,386978154,187257512,817121937,781910388,321646635,285721287,524715662,40607574,511738450,212605281,527291341,753557294,417986221,684551848,572470467,629213296,392737450,912038352,78662453,59768261,452888036,71881063,235813254,532081040,303672179,527081417,566635268,746077098,411337006,663455731,234637655,779011486,647559656,736685740,307997276,449164027,876323182,631850864,211076751,153459373,727685260,307532588,127690912,617386044,109688540,537460267,266102822,533340937,171820835,490430214,391764478,415224691,335340431,671662228,346779629,574377111,291803367,453652095,714827064,492617163,500061606,304313558,140499516,577419863,31043163,206933980,828573784,91846181,983826216,584191473,803202312,322601827,167424048,2096042,667603483,142146891,328858242,930779362,304680931,646749882,637496618,311705001,244842714,166433418,894084424,802708097,590216807,529963479,232937427,146764839,860838922,510905658,874995555,777591464,356987957,544699671,403058554,749148375,227495545,637849595,896792696,34423927,227535910,634224327,982475882,936318119,626781025,869759675,303679757,439774921,88618577,657113042,238500436,458566512,172026435,179615605,617215193,817952791,310221542,701897958,386945664,582446504,544587236,865957872,693523376,923629577,749660376,516430742,110952710,644496080,44033681,524499247,228851361,564774126,410492701,227772752,280532345,466869511,701791839,732060456,427291437,907642905,239593063,890225918,65181351,44790496,498194442,350420866,565654900,849339592,115159004,717812548,849377671,252442328,682376521,382530524,62265902,349581205,242212392,240025836,620622866,13011704,673341543,817784290,99075486,642668028,813621723,61884683,613222565,79836216,860177088,146641573,484890808,999595687,907801570,288948229,206156742,617044769,950855812,467721976,764845221,559345475,350859832,110492303,292925234,916811388,970394913,362409869,703445858,682368394,254501015,523796438,326124648,139073736,440772350,819098536,656758845,59740017,59847804,586103165,190070548,202460049,422646247,249542629,689077318,176916304,773005945,503739032,211756959,728282725,903439614,607993261,996750646,772747365,318535162,492718728,821535469,617315545,970611660,703314809,278777079,297654956,405565379,625892970,517268242,689253698,954378328,15500598,534655258,725198877,317564931,879592133,395446070,971703996,145360328,197639188,95623455,837029629,197663461,855103374,850479560,793249129,912762378,364650022,174891476,601233451,262147166,744097767,138596866,464278862,863368134,763382991,926945942,287059201,38515433,156211935,299091210,155618237,961465663,86877695,101401229,684628237,960689870,555511931,224811864,235119294,394484931,424030543,486238472,776983866,487879294,755999894,358292525,651724387,586863005,974925485,328509708,445730880,575704914,458864055,819880377,621208158,770241378,225739453,929544022,856074862,255756381,236576569,347205385,939852378,719992411,750365886,656326352,523852223,739762587,854833590,231386604,190599098,100946815,647535549,783710939,822113161,963658082,686559963,544274683,379595556,331318565,298261636,419844821,632229373,186353687,61969555,35700984,709192372,443645976,212005854,435666616,71371467,597090820,599043761,365701165,76614725,529624623,875546428,633204518,463785493,235100547,913535437,121157369,326249435,457378619,392009333,881405508,512033222,541573674,411389172,111033103,568033648,135546543,753494875,362346880,631372537,383990903,245792664,556673021,922450312,792117178,790231865,493114913,31718604,85651179,268759748,239648044,593030616,830298563,244754426,631109101,397216063,64896776,48760959,239550911,643525498,47292571,930386446,656640743,354112885,99828003,507327249,831865333,635655477,585960508,869365432,15849435,90255234,399888327,568108342,549770633,883937874,478770524,876586561,213237848,334869304,525773424,255227041,375049744,671586028,100362885,185916136,994476550,339595626,700899131,859804284,524343004,822349663,759213601,756901794,111607908,180801163,355165655,750314930,557828276,797896272,369808155,799170337,902912131,507294577,279242753,217696097,439048676,210351560,640993739,108409280,884751268,259241787,497082039,847427574,488622848,799326223,774746729,286907382,839194872,893523556,68558333,268040503,345398771,661143812,481983019,397598357,14851905,355984460,777245739,921121591,577985740,974383236,881441670,152720249,708083188,309248100,313666447,440322367,465889527,775512782,169075792,876180540,820320285,865008556,924929810,772013783,649715678,751577405,155944303,811114353,320459190,859098203,267342918,507370346,419189773,613287463,501035965,505344582,530308775,742656727,287777102,666375511,347382105,23619795,368373197,993802733,826018715,65570875,985727416,179391926,599350221,661732144,674899949,255738289,134326644,28233386,383140068,763428948,523436104,290337172,331859719,242761924,815327029,990712420,288536865,735168877,724562935,643366053,613424758,109468700,205273889,145547491,41237257,856039006,698145743,644570717,162276548,199244642,280736094,967846460,64058055,682364453,950919946,20757921,760790909,113613254,569449431,76500970,675782708,869827284,812687712,732203422,759129752,880702106,877050919,719465408,712559585,962860767,423196149,176520506,810830294,49355261,77433615,410630304,465037790,847434130,147591492,560644303,370395701,16763986,819517872,817295352,953311248,43939517,649277166,702455863,76761818,878595367,716395107,573124123,503493125,550559855,60181377,857416448,573166242,918201524,447325883,442424120,858040618,824822617,736709316,378247792,331247023,249333895,348961621,682840569,34126502,315700532,72856849,652810624,662695314,947654119,892420703,402734321,973481297,262645085,901670079,541369833,781524862,26287986,847488235,198506932,756542168,370540646,90866626,483428311,755044935,108660534,670581529,926586535,253461644,619838354,722221975,809142114,710226723,47801838,48921733,90289542,585359222,320841126,959678946,939928422,415260132,337139462,778884017,224999621,5828161,900130472,747171630,794726081,378447249,294773686,512867789,9273730,450387647,763864885,80587959,667725713,822014127,427072318,863768187,993261796,679157876,558856011,224816823,243350180,412828452,455492471,806431699,462747535,38591367,587570040,825428805,465856749,459827856,727915347,87354187,809716835,25101241,544602493,318224914,185851343,882216779,695197120,388711205,75664101,677307818,717934588,542040860,694102242,825588608,610350976,167892085,534065796,408024754,658132654,369180727,990904808,334322104,393648665,774536392,365547423,662911796,373977922,238428683,547340419,787522244,381847907,148828060,239365182,900599044,577241780,666355672,643514845,104932402,965227386,627858291,635100599,710388632,247094330,144999007,496165340,75509098,393807454,489425162,492335193,373906443,849679382,978272287,82736088,697330226,533745636,624676015,268060357,259953855,438424658,21794482,33054202,861855384,746464529,396787019,277967004,827301024,468583961,817621180,304518586,584453155,337661710,70782571,995277741,844042172,749043641,177584711,275638128,820097884,263141088,963282371,223003411,460135221,530262740,729843152,277998800,441076884,434746678,627754166,31746587,355810291,272881078,238088808,434244785,440114008,474891191,278651577,632522426,90966191,567574506,835345810,634067863,89013316,841054204,300284974,12610450,54347857,335295604,955177984,60477382,738094173,8511592,267861202,568977949,782555886,813391362,622612687,34989910,900373451,930477132,744325536,27312717,110180198,452631930,625506622,884880932,669532860,991636922,864843772,865989710,302575388,819427561,39471331,171181881,963774660,958808352,559166975,809704743,406297510,48113105,10709460,37010998,808202679,372122308,18479159,47009610,414332774,51326073,484734100,416589416,805591882,692526210,813031245,789646275,892042591,938671398,732169101,465388741,543745275,65133168,62591848,887854502,965040958,213207638,659192885,815769308,643823515,889420891,138071985,941365128,176788381,946379950,16047902,646476826,379397383,170442602,771977719,815374649,323978153,486775828,760120380,969888376,771351304,200034070,975946002,414607430,696603478,736815330,631270672,491285422,672845324,690727359,575962458,841257354,938029154,502302573,47232312,849863841,97838212,503280957,836163247,336434150,670244886,231896633,930160990,811628524,455847351,298023294,310603334,396591345,114964124,433665735,191230677,734323251,825390858,842163168,635309758,210995664,171587067,687015715,111284748,145450521,395142051,621308774,934282032,394444932,947714979,566851314,331922541,192902103,35791284,942480562,722420988,189556766,132076627,460104497,774001110,798699792,346116223,500916115,475288466,911097845,406483956,398658213,940532410,369806543,607122474,863056409,776579987,668633247,173951958,746416023,852179098,884037426,41365597,875984112,981283089,394440043,110774421,653138996,915960716,171668305,29963977,778895672,869732510,83802934,457788176,943793413,278652132,22547710,632846888,327104047,61550435,240639486,809010043,515833625,219418196,230817224,661068976,837693310,105593796,682402239,252588509,606700140,450173431,468254417,478214465,161762799,333110613,876218307,640643801,968597920,492197706,735661350,960366346,613691437,228251188,831508878,117916025,93533982,890022696,248091678,488794655,240425219,229377606,787858458,337893355,579380439,135783476,124602981,378632906,554130256,306768669,53783203,248977175,25765309,273199936,769878755,381228679,82585866,13617401,48870250,623873106,172152084,794071683,906878694,596748018,340145711,51965141,748805967,29156173,156147080,466790759,326076328,750454984,628749592,805109512,128600432,87966224,556839365,714403006,476090948,325629474,874923740,754402904,330451074,840238478,230906879,121475924,22965396,318075684,139188312,134264620,962145037,810889333,999664717,495080238,380901160,14873888,844091738,12862184,176619219,358981385,202898398,314402497,280053892,918573112,937847769,146223422,905932530,254275309,465507241,583122162,412243882,535897676,979382090,188178283,546805327,980214939,677814102,805712305,251127143,873380065,425051550,929577324,449732242,414215658,115044560,209876386,983409653,157379717,415835435,182908938,419398139,171712634,639996498,779694343,413640533,719274956,435572318,916374460,592004688,746016066,985593665,183631920,459183159,684687028,865211783,363600925,341962094,437916009,295570993,926107576,702417742,332416185,853882631,696826478,635460395,919071685,288646534,579354045,493160563,703312815,563978530,362378436,455059566,302123239,551908220,581667454,121575625,677534337,369133681,97595996,768201903,400981769,932529968,677293794,992633022,650370266,265148569,859426669,839354843,307627803,383460864,195024268,75746305,788604383,434760907,209011696,154469806,288755805,429675873,590961118,976458141,517323041,992718700,252229161,480217481,22125964,328789567,611381297,511464002,450070164,102743149,84752319,102244397,909310761,70008260,726386628,8930065,809871151,415585470,934913727,191958874,323248104,250978464,828021491,955543966,806336125,782671787,814955936,224400113,740951951,893960378,963295724,478265924,187061102,640161733,516404532,541058852,107848943,88114010,903817202,776233101,99840255,15608283,823116246,727334144,776890412,414235309,284441588,827200010,8132541,1889149,313667458,663189209,731617268,868620554,553235324,278789546,104092994,189171485,992326918,295901567,979438423,575050379,253063158,815363083,123344178,594457935,914614830,628643890,968033151,429977686,575629983,237016481,420699111,90897153,989112663,622833562,497179019,643348292,802549704,453581788,189754165,349378299,571022588,367795146,599289419,686045601,580445975,231810700,67499522,595151602,833188096,849750938,298555496,215346700,761609014,823593509,705517136,323903516,527240214,535306500,580828105,531704427,168741436,850727776,331341569,585529251,170366334,86885736,673818317,168381788,652711355,204457981,520665726,270132391,766426995,971752155,507965075,298505121,690588185,44893863,932180021,653891284,369714035,572055565,345046505,813294993,788544867,620600064,733164805,139100851,966658376,293486511,525889037,935850133,299837452,133328064,38129194,478473373,35718017,948656518,650546962,510618201,440715660,884081662,315634878,460559751,366779061,704891858,794507884,309268955,509785984,839508331,348283666,293135542,604514839,817973677,714137296,960947804,46896418,22815135,614007247,295215873,6553938,517592421,542961791,317706935,845829861,619555212,464621881,402428848,69976301,202046623,564333294,332875760,14349164,908217652,114482922,50644432,218468915,791072235,448936181,584102390,174907776,436932146,194480567,917050378,134572969,367556337,244807059,909384604,368422838,841274505,702549276,761429137,215890965,411155465,721025600,735862980,770999425,754033919,870893538,556338620,278482083,752619169,444164650,854908003,598160708,667743708,729061515,989516901,825014768,921826819,799516822,812762698,214852986,620461900,869971667,662550409,577601286,336553383,839485361,617432516,827842993,633417342,354043727,670684396,63399594,661221843,175229187,83227990,650533811,295058707,796178499,154628718,873940848,889669929,772156321,897849045,31072958,878202628,350649092,27219624,181442155,848564823,489020160,218236804,883255437,800860271,525491312,599127262,902281259,405505168,42440692,340349524,601324565,395325789,68807301,229902452,872821805,341466201,16782445,49039866,960849375,62863235,591622128,795029532,739343348,63929144,276857275,997366843,83691421,88778132,941994078,361866967,423881130,237844290,678136033,957956017,611920934,918376654,904777732,20643010,701319938,242547366,614777907,559886872,381989125,683007201,54931969,993550747,625221727,812857531,83404540,706248888,760983237,974612160,500892444,723762396,393866907,337348882,955323514,999887525,140610140,420939709,801493926,136797408,547288414,734862798,985868293,886074080,86804592,410548738,792420786,114031742,719713081,757688703,475701821,368000951,581600583,76427658,955542578,505260987,572679556,1880081,955556056,625376097,357894472,100083258,361606809,281049806,385207071,473386094,485047466,155065676,458386627,295315776,230675754,949889955,76786339,714091557,851411350,157778460,246714929,190238933,705872446,678418043,875475253,948466698,841658047,993921990,143555326,389150691,332877812,18852856,412433860,967299083,44750778,441158818,682124971,323863273,411541626,597871306,149789263,56592961,457347271,361838030,597095221,911072886,943395909,595285032,15750916,208770221,379118132,137618471,326374187,997899394,247680269,269959485,787599564,562933582,959437074,570072262,716316951,582905787,260564454,356738771,233006062,443432538,555501732,316270890,458239566,703141615,352860678,531494454,694035889,688264144,707904865,971067318,506658965,140225879,563967039,382010243,27977662,42080293,46642449,143270409,494175467,93526500,662947735,912026465,807241989,347369665,642981916,989785125,652421633,775846074,865164585,500349694,104237840,91353990,36012196,147126290,65277588,655913818,350265093,311685281,585786496,414146170,963762506,686782687,870675617,774684683,217113329,668055898,567630772,917569731,93711244,640135174,978819037,408094212,426149422,967013731,740091464,269010180,938934236,800711052,315738085,895349402,575618809,202123651,810145307,312032375,613818651,343931181,399766007,956253314,187301877,784577875,570297697,294458739,188845270,645898151,741508067,994600469,21782098,580005946,980804918,643865319,801837394,564809058,81157706,585254458,459675257,223000974,742580424,765034978,744955354,951826943,749408749,813941756,191975918,488962071,8575810,567578883,678698983,147537963,145693312,71319377,100585756,126139422,150491861,868090359,281864217,746107900,704423641,650130288,721724918,498108211,259540353,528022336,22497318,37906951,778244897,303663049,898906997,249538581,563920856,121627774,476030136,50148918,618722700,574042139,389349113,71006430,116703301,568998388,884217382,278715399,932335224,275233138,852181515,583431310,602060669,166493373,277012698,805021754,721232478,555316115,813125580,402050049,217839946,906029111,415074046,446585827,586970903,573219164,661332828,66525060,687233014,932110565,438159,572057460,157768071,715950248,507845526,627453463,883032957,504393184,197050393,891718758,194165892,432186948,733280707,404068614,1709172,860764399,5148366,724848856,734607491,677215036,322677671,143301455,90068959,641733304,807403052,398857762,624219676,796029024,208134324,582333135,590090010,896222722,994323405,275101997,868055698,199216492,152714980,944940648,752500951,176024901,261127988,361100049,176721081,344531376,72866967,59296316,988325511,91347430,433535541,869624796,497005482,62165488,213090133,127742951,527632049,50538673,910700888,649340341,945618343,525949178,919305152,551879330,492339898,368291375,113453513,629845817,258737092,72015780,813048674,384847827,23396161,985045371,846730716,377279147,262696200,290861828,602716889,604686755,736329737,717607998,973522918,281881968,716734203,105866459,839198353,81672533,570282821,805430656,325037959,14187227,636356941,939909676,295049569,438595025,199027317,126128725,510159863,312386971,257783723,33732381,805850386,573626254,203776569,909440655,973242220,870969879,280282376,576880465,376119086,607126586,54262542,785085271,671710792,308168229,699380014,626675748,996569460,893021990,973709731,493491601,159451285,162121314,143065036,464106217,259770187,959788837,679426080,788593101,521865319,462017685,639349137,644025213,10841013,925722184,395650458,107482552,205016125,973498906,781451695,165640182,324843967,924438777,183684052,587627572,246648644,576881121,79248821,192340389,779505505,737282734,960934187,181418593,832800321,391633124,596178494,309331068,246865783,932125576,927623955,667262585,1935841,456825319,192409714,110998672,245940518,443528644,681480540,598964852,370996190,272786700,58925569,688634194,812216049,532014023,942529502,240922132,137107567,173879911,690740091,145897827,987647783,435726355,132149188,804474410,419656634,898808858,320209035,821279425,240594847,444091537,159295033,350917217,723692159,918636128,690419236,353652549,519620739,807114831,757392663,196080064,544606576,126515777,465990018,304474011,388560024,553316265,78027007,459795656,252604593,569992563,465238944,853333860,193158107,212910653,885692515,504832220,106743877,889581021,364480740,3996190,458682497,376144421,807686633,469566097,632641717,590175602,324135810,121245160,918570161,229411798,577782715,983851497,755405130,630252776,12762252,390752330,168384363,812946448,558129043,622407966,148773249,69918728,524456702,146833132,819322093,170734357,311386339,390524893,678097498,859895242,149416892,36353569,398487397,636028455,461815336,784322596,613049692,727065957,62155657,871366035,580729855,221007468,376468400,828508807,30924235,251558176,731288469,694781288,73575474,193301905,598982886,565993529,318918372,486052832,135326268,633413403,814663261,230272333,920355688,460187934,185961359,321577692,21440156,111500140,37925321,781545171,576631925,109973668,536320995,22991234,777735744,503260722,362489484,129486993,438981907,493588937,628752524,243774361,62233331,957934411,178400013,997910131,924233089,6483827,387132442,706170500,296965348,941686106,774729626,505767628,672896118,537684855,512534858,258578604,538505609,906187124,218675954,575185832,756832772,671679194,285244713,416762208,742588745,707485219,410995085,16294995,639014325,709768977,987952736,30573038,691502938,232605205,648337369,128192503,929754459,74437226,316256119,252282840,659007314,752308051,941171282,253174528,464557180,274505891,345749670,290786504,651057404,651129293,84456330,606604760,44245741,83004648,149714901,212252324,23778305,431830116,91657540,946206470,954467713,873042990,715112730,759646576,841550970,809286308,228681604,275804629,478733442,735192797,657912376,319694632,225719301,792653703,638504206,14297761,793634122,999856267,7295995,806441945,752093076,336579929,688390144,418641422,722039112,801301997,971963094,414506591,521653166,184661365,154274462,143616134,116437389,649754795,355110959,2336542,512729787,530223661,536755995,773648073,463228243,626516806,717320137,787020568,389407301,444480506,814241993,987824013,854698579,760319849,831379428,515023388,426910952,277410256,386639791,61762587,861858869,980406759,807273305,694295377,744678716,636884098,684485816,578253501,161734734,237612955,256495268,310007263,762669279,31158012,974624785,20335412,526839655,73937357,177108889,287756333,793705499,597664209,691673205,197594617,462833046,320413248,340360621,230961078,464616329,766510947,769414221,569201388,736161203,900139588,958139010,888177993,525240454,229181186,592276588,363943864,316162159,683931078,346002519,370905085,199950519,944452918,786885740,415684506,145763796,191112048,676409251,337693099,283690484,16860168,608170365,985843515,485053591,148815573,644965945,512367112,620707801,593330275,146627513,134444288,686678858,62044510,666205908,958236429,41813797,492003065,424357713,906671434,746858007,55437609,445560292,709702398,74662063,191868486,889088930,545752488,506046187,669999823,202678655,57770031,730789328,723877858,237151232,537466581,14890076,913492945,526567672,978781191,28731026,256739534,832077002,706988456,654643834,124196213,617960730,783859637,925202917,259631387,866529567,736091111,185807404,485144014,58240898,521997172,96345976,875687815,452905811,692339728,1771392,306519447,273341419,874438585,471810764,537304038,266473462,585984650,613506419,512757869,241809614,421696409,324906227,587524199,141781920,160374296,160160619,308425831,26382883,602287959,235907456,868698634,127562550,168180296,390659128,155719244,225084612,543438055,767575402,604074972,216167916,942169591,174410045,61258936,687834747,303028272,671719175,281520829,535122722,418069513,467795411,836074608,932508796,614831178,638773558,895154567,298796357,622102451,88026062,64351753,571786206,368723945,749972366,804193204,33913062,513492667,653923765,793019029,680271540,84130108,187814673,345529235,486224776,68731105,534140844,93253577,350076926,837609825,594168797,355100458,330673214,568533015,297150888,908244979,285042117,848918537,190453671,350886286,136752253,727367905,848029823,634862148,892317080,464019027,500164973,834681333,732794144,763293064,722790909,59178612,165797595,408452116,130127591,200712973,642207046,872838913,494083354,776866346,181431839,617175622,400063647,968376480,509540086,83677139,458022179,484906370,653969303,914071878,133779426,908347670,157763730,336848052,118493809,769251885,712149232,730857150,390060997,414844005,897182622,509721337,378800592,500861772,438177011,46143200,925185854,649832118,248885133,159952500,737986818,594191365,505426825,898318960,536327995,789402176,581792550,332124362,613778045,266511109,412227397,601296740,589656655,219824325,240955817,991811079,566556091,448157401,254373426,959457873,524632311,325831673,346989868,488127763,976362851,441426880,373684292,517657835,697642739,376149252,664769264,213623883,883137710,552871739,586310270,565728301,805888194,538524453,888855094,788923625,250342251,15554433,465127779,871284977,480705394,842158178,671177222,516751731,373904364,311402506,780863322,458951854,971987421,453400163,146258295,254512205,370801995,755632722,755268142,774311182,566118035,519831301,822280599,75265589,845306049,255676800,556185937,612223842,588132955,690155632,150153575,27365200,315501983,725494863,59688761,600731531,692738880,802134567,391695295,172204672,475920284,827798885,409626969,715158804,149377727,331701974,597707005,5247636,702756760,519366914,668375974,182611525,948871606,976018906,967624984,689576711,457036964,89951903,823169773,132151349,743808207,191836130,532602795,90224748,599485015,124676649,278875244,599353127,870196732,908953516,202409704,312286198,420904776,359559687,205815286,444560053,549239063,147397210,17841422,218889978,842416015,497001114,723684238,95982422,8354017,514857908,636479688,612469165,692897717,365339805,360766864,267620755,734619844,735559411,410579136,249729923,175592664,889901648,472999620,851916723,721417037,389429806,54701227,829194423,742634766,612228605,298022503,634934126,582026413,234059157,49143156,454945832,382010785,429387857,230909354,655987640,327249246,540871731,985921911,253140794,920993632,613281847,576507344,352689696,160461992,889968354,487757697,612247143,390425795,641629984,600053079,673930306,410703647,788728718,524537597,247649967,707337496,174862991,263042568,877392734,921069759,529346212,798915350,905481733,332237332,41367280,734154323,788562583,416605508,589307751,661464935,890557166,4511581,182285219,411477560,464238404,375885763,710261732,438379274,213379163,840697802,298464897,583244265,856923728,607586512,203371691,63326311,314013626,868707774,952768120,381495488,227485859,753066815,877136745,24527367,310793455,156643423,81496687,771116326,492208002,513928635,364780306,798371846,366701245,539502986,324952141,194318502,810024194,394688006,862002165,791724752,488094998,4829209,887703245,134001726,213105485,304472952,365448652,821397809,243153278,890320934,719790091,295124973,348698912,97616234,830926388,870288045,601695075,944298204,2838524,58908133,306986918,996958935,265965394,835917535,87053197,360689714,873550770,98244563,981073979,701178289,775269899,461170862,776601819,836875644,84501465,719309232,332997101,611187862,137713876,206373938,850807769,178821812,264356103,98756345,131557329,433256711,312645399,80722125,279563077,576283301,618776306,648932114,183614756,571400002,322743438,402602329,502626556,86139102,16161485,133570512,855547929,631143158,725692022,212656733,739997988,875671298,961845591,906236791,97475956,519962358,221492850,39077844,119927089,484980968,880102060,526694905,127415747,897990930,501479682,27108898,207915205,282188993,846864650,445028351,377473055,891656144,468587632,817853499,964649186,83106895,610305391,71153501,922296616,631101094,651190324,190683674,995320864,739628743,705201714,379940709,92103366,360756610,417820404,516340298,812084621,450320941,958094100,426293261,989640267,518635420,344699896,217447693,364745159,823806256,514192650,599952515,179181541,839878930,189673100,10138778,464349919,238118280,544098974,161076383,608530744,988766717,787230487,187568018,788824346,592357387,870697567,326890649,203257174,840256502,420949778,65366324,18726784,538326910,127679756,121538426,676906267,152545856,730434149,673412366,229439742,340784897,836369040,444345334,414677870,561864495,750548128,45609383,41785322,937259288,844234060,55150590,334392896,730783083,295413139,102335884,207855526,264925758,649663928,479669231,518615215,176023566,402360127,548716438,419252197,127926036,725260335,860197855,382857026,19639238,875856319,930779118,556414216,294932608,767699470,715449833,947883629,779601017,980240690,655549797,204653543,584282038,100641757,173763809,715456322,397364756,184826948,285014919,193382889,857400879,403905887,652621619,933204725,497984193,375444510,773673722,571061782,639583485,81699934,95135494,535660654,867799407,899579264,277731882,891329600,932191948,78492934,845151810,155779450,196877912,724512259,832356582,738508195,277214997,64245370,183583929,33876711,587429397,821827741,459688744,536406323,281989382,26579463,902706730,767072482,163220933,366291606,77350376,371376936,684407032,92393654,882910882,959733119,964108314,129151454,120526849,864344647,597559025,2325089,528440978,405090366,698506819,508913741,880615144,560685357,447772076,841567562,528725059,865560795,359553110,56021873,225357088,140291257,66847947,582490779,63002829,271735944,514623948,519994549,894584907,231692245,518207131,889452865,148612524,856397488,556795537,973110387,270452570,27763201,918759212,485407663,537493362,920441521,927490951,371545223,840692055,492771006,803319982,161983317,571360634,673468603,736500827,19252079,99448104,855213456,684564928,208908833,169054256,309713554,936524882,936306717,173402544,802764769,684710843,55940702,990981232,14743186,23804486,499858268,57658474,333827928,557042438,957177321,765709101,64625784,847048000,816237086,302287655,885824095,896512056,323788104,36801912,365999286,745809261,295286055,371469877,655138859,181136929,410408326,754072177,892759739,9258495,507025679,729219919,238162985,974515700,636349799,36516011,35342115,500263894,461161449,139617791,998678857,337309190,337207014,8936616,251149063,442499058,441474055,85232778,820300485,729749047,94376453,125392103,425927842,93901954,176269209,415651264,250430247,122995152,327453157,252353904,717465821,627284531,878329112,83803592,94168037,938606031,353051810,543473928,725664113,205119137,461206966,456061460,375712170,670920333,403768884,608547114,467454605,113911885,647829358,69553203,399929076,977306098,879676986,29663927,880786007,713338776,129252590,2343793,138156540,521683851,489163101,894693981,535880491,429176001,864551759,559788534,256521528,972789700,981526272,667176545,499093633,130483252,610365345,666603083,884360963,673800212,653891098,435858848,214693735,249857604,41880834,854961773,425792374,263744462,69883056,864997978,235915575,874596987,549091674,73304342,480723689,934868056,700955024,842975461,656222499,489448846,651538463,610823701,111129487,930800426,690327670,471745287,787206015,171428460,276035870,823029622,309923914,910562892,214198661,194327125,395743316,294379922,520906223,41032589,98218936,183741072,692202828,404112154,361639487,919320628,402439405,440721501,903573892,998817898,931605854,583214122,235966550,703982598,692249827,451466118,19361831,423975098,244150373,898341039,225080841,443372008,5717787,39866530,805269137,445693501,379876676,919449617,992499986,173441897,903387139,839815970,714931906,928994965,72628924,640827115,402479941,260679674,45393352,724852247,373421945,895245659,668790237,476946160,576595537,618347943,51402887,223027424,821775490,618786999,39343872,388046565,587697251,82791816,226139118,710467798,720339492,72871237,256676182,923763350,970788003,593769184,619722326,85928439,986679131,343631991,523991643,282431765,491777352,856026124,689182188,712075240,909245841,407715189,543192090,195174081,358921289,256344001,848282376,704523246,839970445,435693776,131523028,47099300,377334804,13188979,374952454,696557433,660665833,810875565,706024573,125603141,260320524,456905514,649860205,63730584,499317530,579584292,310610305,675344924,29875350,518513977,489775140,343736924,398112995,417612318,670960891,352924219,536346597,723176813,581803731,95290714,443898974,932443991,606593824,589070057,12883098,9997912,969976834,591834126,539952778,635371460,552595130,938250591,157858650,877926464,704961236,600713088,249359122,347269494,357328560,630070548,585674060,93181009,305052703,480386090,312226164,150983080,213256738,663406884,13250122,748409109,223313651,835224313,509733495,533432454,904453904,287208613,652021505,127689201,902488867,796208028,901661034,451022754,640528916,869093012,677023367,376311315,289612822,699644561,587632458,880794543,570372608,842345585,433269712,75391473,154370509,977954268,259749715,329605221,54975581,979949685,962681629,722931629,698990709,659803294,410876451,236991610,286108964,988015968,579263550,600198469,352233925,619791351,809497313,723268530,667205986,505574561,422395968,473678343,2618772,111496407,898333899,938645154,722728083,88617753,358866608,174356375,523359374,682314968,812736650,382136656,835251463,372185700,227853714,193053339,515934976,69732367,301617296,572385545,401575989,2294265,737486292,484491830,521036527,675304381,194831501,789263412,980776379,543505264,45653299,43221231,883169955,257091989,437069085,199850079,299883122,797538256,467792138,784867678,147675644,785384443,464295015,199682165,633667362,343256494,614996900,280929975,15374265,234180959,25826286,931991764,167762382,125432545,11774318,28678928,499801697,696729529,488378104,377646822,920229100,493676124,145930727,59744823,25680677,589888452,941909058,702354002,751192963,333310023,182429621,628187958,859119678,505230968,846124106,353936886,491249947,957435506,588876526,667459739,591531018,267981804,343333736,165479920,407877715,186522456,71424610,91082199,523475223,53552718,987493791,963597440,272883182,596316037,492564680,377361455,414810695,120499637,368428653,274628184,903046512,939827633,480244893,485553539,226059972,856839041,898484587,417769184,403015253,639510471,929781597,279343597,454239802,34193364,656888393,747013666,616862193,437037838,890894003,532525378,664154629,577923877,419814478,460412966,50482910,788237267,623021749,947030299,647476819,631529780,998457045,408196886,268030138,361271589,493554433,614985282,523526624,462388192,129378932,474571093,857194926,491031489,88463643,265098533,398063521,820656776,656929649,934100143,368835966,76954013,33172832,551620180,964383603,37702960,841047411,369298375,540732811,740530804,115727540,12327410,299629090,773659246,565366036,472233273,91439131,398255646,43896713,610213457,408336739,729630941,870984049,225483882,54879221,990417587,418900776,509723392,874825167,255673019,699923303,272163674,137291683,349913071,401314692,918689511,117584311,774644802,52151368,149929074,836382182,773104296,359290595,154807351,853818189,818155449,725696057,806808547,85945075,875941350,158961379,514890991,895525926,370265061,176998479,544075736,111063243,539296455,847064143,88924344,903309550,983886064,195376541,870208097,507882215,316430623,289903141,360920837,99702958,917989972,732627418,45131458,948231811,5975589,173553600,863841788,110706355,738997573,841172935,646643952,592630171,674650275,707426910,85498765,328506812,118948212,302273152,183490299,131892184,709081640,419045924,517387527,378972783,554795530,777033878,754143677,900681105,878510993,914745977,631747687,293558810,643135792,357053313,437417920,841448495,176404081,782623794,435765034,864437660,393195282,777840052,409701319,352483832,191536007,928607057,722899634,967398698,389661321,322474973,572496365,825155445,393953075,443164399,305530363,24116117,531897807,764128421,112995744,406325075,366697522,656883410,222505706,12746672,811279362,107789942,919028444,921356861,820556442,331299560,912525664,397625803,266038982,788212719,615873799,895263325,822569978,358086679,13411423,130502809,27457381,39097756,319480702,369667693,877074578,643764663,382810554,992698853,165459882,539555009,53617565,144150991,132360266,408902805,161698726,452353756,954747322,744617304,415137447,967001135,802788613,585703216,456015463,632028539,723677219,387568939,698159824,532824282,549871874,863561420,975780517,710295000,991273443,263575879,438662587,982524373,489304339,164614518,846473896,828987125,958767933,311895492,947383090,755311456,913901135,537617157,878926387,579189548,638890658,678458501,475778263,819525620,139408182,631024563,743452645,741731520,836189391,970134383,638896719,904460586,483340371,141999462,579040050,380253728,994590094,572999102,968908980,843589653,314704300,338509050,970247105,181392165,178208966,65969920,672350878,819581416,970697566,33322247,987200701,845302361,427035892,850160640,438216972,640602603,469087482,949489800,701264781,627859430,981034739,492623530,267133738,827046430,694562924,512154082,307020553,572792806,815181985,737203185,75970187,76010293,197304969,209683904,229395786,938843866,76795716,332628395,672580662,943962119,307747611,648862489,780140679,546482706,672114176,906295356,438197194,449173706,321801242,874026543,390491358,837540119,342558211,268449283,507042684,202693938,9066281,423770205,630239056,515651442,539679236,74677779,807455026,133847856,883759264,378729053,376956352,232514674,403657262,667288456,695631944,833839000,386125524,851991705,971733644,373235409,824815027,21059224,794462101,763016785,873863147,89004160,212134658,727190646,428467583,537491449,151071070,721769905,912434426,674706931,5692172,890289559,878762416,957871034,772379641,205635005,115562386,283557485,711504519,89278997,839968171,154147873,371418567,663380923,728219480,681110338,166071219,443162123,846684542,719713404,868930306,181321494,87333910,993023640,689177814,164849761,229447487,553040685,565469089,503250571,128317815,767962413,258010480,974352974,154778476,135951485,816950094,678714207,351835075,520953896,624087702,657801304,912974940,251339188,986631943,812158992,13740311,657019699,618360959,867356827,601661946,793594330,178428992,161998299,216406065,694923333,49438865,990291935,509148138,115844003,630127421,532492345,846714384,447651101,496811116,478033995,949151567,250091934,540915063,719603462,606028696,773167810,413016499,131067940,906662044,784437211,165972551,126498026,730138771,8261135,76089380,486299236,354532166,16037735,697192029,816757803,960099152,29901659,575118012,253060884,919012580,594436573,829251935,469035056,161293866,657450636,430913806,314293731,150289542,795576845,758006778,68003623,917745020,256918708,563424214,231468468,469380715,716292121,357221791,646402652,994121168,518546581,221475260,562775621,32522520,291304291,996021564,799234554,268958415,724125817,900231164,419941101,587466772,207863204,4128356,105052830,234036726,857751928,330046185,46756661,497660006,564196851,433798804,111388607,110001759,131505138,241189800,792076622,118264502,474528676,968444727,796218661,442775428,367799575,400414636,738256013,399032936,95880832,58834186,786452165,740152682,620169133,524667053,692584535,981692229,552088608,888414738,581395061,466449417,514611425,687208699,286283603,596207508,916187857,408926108,919261489,315351705,378855918,410222324,830369205,323173341,95585561,855297490,87701193,765842198,442402948,621082904,277240910,711792064,3947785,133423134,891366793,133213052,363043444,93640413,246125464,723251303,779008026,245419594,669433851,917670855,917469074,672277988,657711858,384787816,45660429,17553455,744956052,957045787,466676967,683205679,721947801,683828822,291840346,612378543,933404052,345402397,888145868,714861998,257118267,275470006,587584486,190470237,223642626,900717637,564767362,494575592,131163760,925601722,413268683,292586476,56394416,833073186,305069260,468404833,141427710,275945289,307696055,710659153,997408465,487050908,629294772,795656416,481782322,430654987,141327789,198114839,315952264,376806055,198364674,87510827,844247625,999893816,693858280,266405016,685056097,476398661,8403550,792612318,328854920,50520483,605401824,333059196,331690885,468653162,275396323,353499338,987339763,786571483,804576794,518915749,731370244,92333643,73645554,196114684,190498456,11152309,223563610,964940860,359892050,249351704,540021460,164120359,541535035,202506563,503025927,230913366,161234535,698676317,898735814,128898853,945146739,296937014,136930700,516316283,750501850,739440115,92385198,816790890,37359368,57357961,560142102,682311707,71767951,770786303,131478374,666312391,197399420,508129834,265021213,265929477,158476067,965848737,852982880,24346489,83835622,702431000,140731154,728583433,848122024,42822975,236412835,127589923,986462906,871669998,512076163,420378621,19318063,776338151,42932228,561058723,458785974,892617809,940989152,159518319,55441098,728881507,609897929,601220660,801604467,980120705,187654980,409735043,895327450,362473826,144610335,191151840,542034392,281475527,443127209,25313581,403591852,4998600,814473319,474361403,279186513,246058333,414366938,761160369,296333322,247678578,899908528,68397979,672693834,525211449,972832784,73369804,199525754,192903441,943880814,3032743,467352031,746959959,982237962,163736345,337743714,1575345,401865441,798692489,585210627,981885409,13703448,483040832,380022861,930648367,933247249,811697070,769366818,925095141,850881699,33998833,812504313,434515516,525952801,61162688,441886866,848854240,509380772,918428943,796673875,184843378,96189754,857034956,812366312,702078460,541579421,61493883,768560206,822813381,980900947,115721082,718863257,684632622,713181074,588602398,766105878,700167421,452809580,868953833,169029859,836457760,504111812,95872149,128434321,63817115,545521463,718927862,806622202,277268344,241415758,252780424,48142844,936865670,724512127,291572774,162145195,273765227,841889579,185560948,440113137,230616149,841264995,288075310,578013418,758441329,519454302,436987240,844836295,264832209,812985390,846292806,394518142,348973247,360104409,669536055,876096774,932465938,74700793,134930439,577139781,988588106,241622432,506697348,969164017,28924576,917701625,919509033,174785391,207975062,966774708,49451431,533874769,336018906,63335597,220692475,10277779,137704696,841398327,812332744,2538307,139396617,66321398,432815322,213707353,77348425,368421590,283531904,352111639,647111252,298558675,16597579,624534301,62344657,530099869,308384456,680761246,98552510,394338147,460740897,897714941,225337029,587035696,560083095,850421309,945666927,859244528,94749904,885934563,529561981,819095083,37138274,329751971,970915640,877093036,229827899,29349447,865461062,5562048,870847215,267797325,655465315,163008749,731796265,146444274,89321290,366922142,316578891,252251936,788410748,667729832,200799669,305178243,489280635,223020463,555711042,725620931,630678766,194952975,371882761,325822875,164835306,321365624,4696613,47055443,553843452,322696408,798886301,982848001,230399098,869603347,938614479,766435168,783909785,299014480,147432547,958890122,667353842,520093357,844795961,478730112,881366995,213029755,362071249,940396157,659528386,49537646,750106248,379073144,551518420,838561140,780696686,201860695,498573007,886171087,89882792,669439041,889852666,340082834,561315536,100307817,863181298,707025911,673846944,168309030,771453180,9133166,978142315,683981551,874483875,441721334,479337942,571889810,693971431,491142174,84523777,995195076,893856479,742879722,945974800,335422033,516359552,570553441,934136296,709754778,534888962,981468002,324695348,547216780,87385342,269323421,516482251,247996726,747341886,647086344,756219876,674793002,567216641,488524473,999455875,664626322,481454134,253835163,347484149,980783510,431595097,44241714,159681053,369801472,63065345,547143090,392152911,245741074,464638167,652936042,469475983,153851556,788437707,26183251,738119285,829186848,362396552,807606498,408332541,104717376,10126100,371423684,114925605,737142129,681808245,547890635,748982901,829944870,60685221,766388111,289945203,4905966,912738308,678008996,98598288,82083476,535092435,845483854,439507678,566148456,112834742,430087177,471268101,383543732,290781562,889258925,846628335,547651327,396046703,485092737,634687725,671497720,849587886,121640019,102890954,974236192,27817075,862694814,79852123,385794647,333432372,135888585,879056425,566937903,355939601,784838386,515733474,619274434,248135564,280614798,888286016,409042012,740765221,946255696,831015025,942790425,4620438,129804195,697878431,698101266,415004912,124512864,648271875,290321858,494280647,269916465,186523315,692153961,866044259,456565545,867703162,903711912,693683649,887798699,374794141,961439707,987572024,324103,469579076,208694146,699096753,475012066,928100761,440834117,834654794,269716503,639695861,796648501,532009533,278773625,372722949,129440253,856487985,1904118,19499975,50849331,200602327,914201026,843431277,4422622,627598265,885563942,630305235,319966781,311584711,293493198,345009835,928911903,243394949,195544504,536169822,593715124,57769865,970039359,871459038,220620954,844684604,137858476,184583026,71890200,268671105,443022747,786649143,90751148,915044461,520736457,596810973,103321764,777446607,267764825,165915815,972010221,587145602,679254225,687126563,935117418,631456730,592466370,671178158,156493515,826803522,664970071,995696784,645118596,375029570,52841348,277758920,984226480,125674742,732163821,680701020,918195239,33051804,361506341,580325942,557075056,269628418,707226206,616211791,77735845,219921236,247037390,453772529,255134613,104632581,674872186,259492533,674000299,7063990,101256548,435865749,896524302,550873563,50026765,746590892,571272371,134361171,731122020,506824308,160421953,290547488,491553619,446368077,541515801,664744807,959286155,673516598,376088256,656047823,486260335,381963470,830401065,577180301,770581081,21677998,274390091,943037993,433444622,152644915,78778498,263270046,711652546,814903530,815193959,631145673,489286607,758402103,162194413,996080405,44179469,863623448,778649769,947265028,773903368,326770950,648170896,692720037,412530596,889138348,961340348,74072619,78201465,133734761,151339974,799578501,681139946,529721677,845926684,884311353,973259070,357603567,366256590,555471590,684565719,836737538,929858618,537530198,353542685,330278017,79967226,565347351,918332528,988720613,176507082,395429302,287483779,495252357,608236651,727604882,294500618,699659325,855392600,577649118,612447287,476219667,991373902,812162823,453589620,239419779,897971518,483495950,938617313,485461633,205797988,102827077,709944140,97960623,673633091,266070189,547962296,568435826,443094678,184669243,125913964,464358971,352923333,902505092,941206942,869051165,246348126,372691047,802470916,325585291,701296239,352652075,236245547,903302297,31989297,45749676,720269239,637031435,145373404,217215200,723787358,244199174,260335747,740128985,879242821,70294168,821334495,479230240,930383370,70817972,200546940,619930199,489087810,54349688,139088378,563247699,263066024,743094435,370932430,447504066,153844238,638488801,601985491,453636076,499313842,34760929,9485195,243162735,778652543,715967737,714965281,489122109,188559721,637660068,238628709,271235655,942971853,947652994,999410192,540414868,626107828,226048171,182367621,104517092,611980698,709709167,684769299,954232006,653948574,486955208,681747572,496570812,659043641,825267398,83372392,371922306,79585534,861097570,70930214,523036654,14823773,792703220,509376247,453620331,911252367,655600430,893445629,599287572,659818844,204428856,843758251,473863005,735866181,636465606,933822225,811334133,27901594,66485855,977481244,652946394,730819628,935053353,199370286,293573328,459524247,482492634,291551448,402902043,948297237,349971513,782899633,701584495,327068310,786716092,289467382,526340015,914305513,894130414,268685684,135873222,854887437,354118229,990617597,674850424,592523892,158508561,705495007,521342146,673270692,211190367,870459775,440193048,99972808,508863118,206205938,378875840,310029102,986611476,656467878,354980920,889649754,983443023,651067233,619042050,13242676,178356902,661629994,825710339,139529742,959638333,85354561,321537511,767570911,804976772,672881542,889104338,595656976,401613620,390669817,881343300,382620817,699897178,562805837,983615912,879676898,706659868,375778604,324491915,715017660,122427005,625820835,236527259,660194331,38856314,996199754,743886795,407452556,996510941,109479318,785138777,245336509,526305054,523556764,52747388,928147564,36156849,280019977,506076456,876409002,214872899,841307054,389393672,307670226,374083815,483879524,942380015,360287770,411166558,552532444,20362631,763842364,629270137,642602782,628232986,687042667,182317496,500976760,588810855,721686709,941437960,280577135,508451954,409772085,548620504,291083189,740035663,912091655,936515601,162048973,83015523,408447938,576831116,889297826,220772000,675569001,502102036,479374478,202654480,187374782,513094434,203368758,895059619,768584939,628030998,933676235,47381206,487083888,378386982,495332950,640577408,630137005,689021145,325689118,237560173,671836236,265247132,90181613,33484661,574700895,313854348,660264463,209792787,333717051,812928064,934427838,618482205,577300073,522770707,438756281,171711171,351665106,525416930,97107745,47097081,618515390,186604942,109941126,374819782,205754748,613970699,573023482,701288562,86111714,235752642,82506274,46217516,428263566,613565717,192238089,153619499,637049695,127309069,720976269,546728774,62890546,474843172,679456166,240624002,113682884,63931679,133203869,338525581,7615614,958139544,753357455,99931652,605335603,721440483,328484290,664157575,774127958,108342084,422677449,392124925,794889428,158650533,503446483,508683553,963497342,26558303,168135536,29484000,76939759,908451157,238847561,770599539,28977670,528043483,456786532,241847401,629990996,260246871,221874582,497671631,250025917,114007840,370290898,652842334,886995709,624983670,653614605,65200106,5726389,707626096,147647527,568770130,276441894,683979691,753328558,896269060,86312901,533710485,306798283,843905846,525855472,477404927,180988372,168638268,595099235,269852184,825172693,125045031,806892293,685502283,177114102,264825941,484888652,618335741,765412424,842665153,318094454,766082442,127033181,325845334,319369632,187577220,163831444,443773665,24772454,710353326,752981125,808402389,809661972,528881574,945420558,239635094,192678854,435382136,31206453,178433992,50409089,312497856,653544561,370507032,712664094,187057659,373560224,837692852,227654693,925838144,325824874,633089236,214642040,50773784,770647372,765067748,586793305,213673073,510654749,537130068,151618294,536948683,417625595,6668351,231864618,765570071,423646274,260353763,702258501,511117411,637025251,933900151,14257946,428882242,563610598,215689215,525076951,723939898,357152512,67639477,133322456,343167214,306685626,549873695,757095556,774656522,86054106,51371040,878879588,241943292,831133542,265940589,435898247,978697468,149987882,883988926,681563322,896541571,102707236,776278973,717700952,838445720,584417945,806331456,428231910,115177245,462036209,857219544,118524332,857008204,774548365,755632978,666855244,274715876,414452278,43689051,739316877,809608195,637278213,322399029,168753214,785234172,888313027,503295764,289295722,68192958,704521501,489356131,512859860,815194307,963807323,475839098,259729792,200073511,740678317,702387174,957703704,734975559,795062619,747651610,251198478,146416112,792891051,113907425,634647452,638614028,519305424,5347193,269175041,769396972,18633872,328228960,324249051,639584650,194262913,365580245,58675816,777933203,106195375,905603572,74583354,489229336,332773212,41026033,815540976,316976500,995861551,465452503,704399048,860459309,701295233,768289746,702787946,317107676,128507029,845662511,264594787,936795572,105416006,603821817,411904995,680534808,20844794,391683293,902451025,479221704,751864121,32067785,590846770,412550280,686389294,979586319,567781757,125435511,334589965,818387069,274365856,818335600,688388211,995735525,397678180,475936837,930646328,59314877,911653594,303419082,826485027,227600587,489399108,183170796,873825702,338318533,69772286,260125053,409150425,385980619,187450750,883459971,547869531,966562583,105331657,849724494,353682615,830000048,385904783,305355730,153652834,30975478,617977000,920676101,863552030,864582615,550486779,767263383,572489480,647875999,363383985,687913224,944341654,163537293,716825758,629235568,889898943,995999775,324188567,187194520,63353177,574119970,919220142,356257980,280451809,595949319,400426142,641482758,262031,521586065,69543994,398250529,342254279,80679661,645748250,854888531,997296650,754489902,707492135,164100814,79763541,784973948,451324267,542168073,238606515,76917255,779595350,708271785,665050774,359801426,997013986,87465508,105306260,237670398,668148548,681552733,42805663,294205161,712202382,151268837,475041200,464370666,740936305,262047680,201617776,197632205,804121146,984446865,681009902,522144762,388662524,86529350,415205538,111742467,51407974,553573153,397976056,657043924,76668010,509892480,864115412,893568252,868452415,945431449,396820033,569165452,813741397,421953957,216408679,225479506,357777648,96450575,478594017,342907012,311835031,520906139,733385171,991949201,936291492,242647665,530531462,62340474,794373860,246521862,199545098,606433912,731336344,737943073,772098615,112747362,259707167,67197268,264073453,776437029,69315328,279980333,935520695,599409565,355052057,976635953,16870860,247878215,183742255,885231733,910850248,381268519,510287517,704491140,895310915,243018923,693314473,808734189,420582935,666339221,466947493,590471918,998806089,396645822,148402610,347013090,372464149,179564886,131732198,998378343,508776184,861649268,571612191,558061666,905568948,559365812,390762998,575667928,451848386,125591147,440797383,193865619,834437307,939217988,826191316,301045527,62180104,845602327,231443918,322378828,500759974,778720117,896705337,660411899,689998085,763302598,929403168,691488234,618145269,74887455,586898694,927914231,19484441,608688259,844197614,356028569,132898986,773543499,328372784,586903971,634528859,682944971,766528593,878004588,843321638,26949301,257700974,966429459,484949070,74815500,155398003,385874365,821937046,357441254,413444585,921949471,89897908,671958443,536733515,952751465,334240292,686954004,440027909,527745906,233688192,175236064,210060665,891756295,135516646,321653460,590170812,45055701,267949970,458955011,430754872,32128400,792918191,594208917,847267281,301886299,343908788,753734009,587678547,986080445,921758297,877649659,447170495,432734057,53223820,276711947,494185667,684434482,886802071,827086348,378368415,43018833,852497642,958137291,972202068,116851059,813146452,53318843,781560549,550571684,373596523,882485218,74675785,957797542,658508716,465058349,431786414,300420339,738837764,893350276,537117670,404513286,63677786,937789110,947885788,492881309,92719951,796005878,392609066,453664195,967243268,612474073,678241553,130178835,609214553,1305806,149337632,508470077,921204896,61103850,514056611,742660901,287766351,687880854,990805186,714958436,416369453,105932139,192122533,44756720,272582589,673783678,278849352,406312918,529974894,993649076,335104139,976413146,74343139,624660408,269677090,840659346,547893220,491007719,972796683,692362985,127386173,439428799,141862439,523521601,262146584,795139615,270403405,255438845,609877796,17888765,165597639,120489448,944496425,479394385,763287987,616577993,518162895,814809512,474248913,599185834,793460718,825522328,249456531,16870550,971347951,53847782,18260255,62705940,729336887,501011516,440324012,710701542,566583831,718196163,480129055,767731532,411905637,911332325,704023100,707667681,930015387,876976606,422919440,636278719,350988981,719258582,178436818,69923632,230996323,706269687,291386979,344613475,390925772,833913242,793089953,56340542,192806762,197781666,702675174,497172389,106921258,181799608,660326219,307738063,803948747,153099730,333080704,976367107,953011714,691787785,359365340,197036160,935319918,369393637,207874328,364074460,302313238,694742050,683160629,850365307,343914383,845223416,893232210,805639371,950029311,462055761,826002218,224753888,227550905,630768686,164634439,354049027,853769624,968214308,692529434,410469603,251274117,498121192,315075127,874038098,642476222,587909665,835115101,997643519,734258281,990964437,616753490,491924719,292281717,693524515,320317955,903943386,247266094,696177267,797158741,854566367,941294044,485826406,515425501,852027979,946420811,128429715,593206699,730478595,196841116,259066570,94271953,673946163,559061031,442529961,806699411,728873788,486578960,704603435,251037277,425769312,208139852,394715076,622929056,618638106,773425178,656221297,539781856,136472352,713597070,576588395,891296403,133844083,809672218,466771256,921876309,158461473,567350,332360788,166187547,879954080,626629140,664316986,130723156,372661398,942900733,248219023,854569281,229007931,291214564,305039383,192257504,785108566,803998527,354833821,492933753,197782910,118579285,281708278,208909522,132687259,304869656,476034378,45941304,875614275,447883271,743262934,82405230,435658132,428264370,406384717,797556277,889866648,620247745,964990606,239491738,879217103,287694830,975908032,853819746,876628667,854271443,998557940,187234556,302226831,2902488,219095297,542239379,127705548,959032859,628345596,205686923,994028705,959368127,169199021,648340519,909345064,587304783,189399373,404859250,67466457,216961082,439532522,420711641,11263556,17509430,216598977,89871708,940625639,77743552,391491256,458920870,863442257,437160316,787237706,863226851,397981589,717239917,962894518,549050125,67105413,51827120,788850010,909220432,648921583,374536160,513884469,793335416,933608023,608828980,747223556,762749882,438335570,65856652,289138440,235336459,845326940,969557163,719972486,910655501,481328718,728053348,519121420,813716244,876639527,739519862,660845855,525983157,881559087,115240987,990966506,590054870,800522951,459745791,969880680,787543290,747656646,282068057,557326328,591157504,806831914,225249875,57419579,876798190,352140707,480262810,327916441,760565285,493079242,592394839,186778434,529621984,290546429,917484691,513860089,549081078,41734746,732435642,403728253,208117794,459109314,57718925,992892497,112643818,427117139,484606428,381372000,696953083,386690980,792058267,478257086,210653464,363981393,656239726,463007182,30962799,259433288,618191299,250669930,276098218,156249354,158409915,506368306,752435603,50869059,696143338,433086568,86113180,955727652,646840649,23442257,33065215,40869542,440168586,526339973,794868534,115160226,985977591,514406652,562971566,604551408,183976065,874109619,922351428,254056511,959037989,358865248,37966714,78598190,835742455,7744740,627028633,993432281,480942448,104552939,965648615,414513071,335256350,544587719,371601386,265117608,562087191,189167579,150680386,121281830,438470999,308406480,341424613,948218840,551827609,796337299,159047020,695475657,190102914,341837347,862894752,960827247,181088493,942564442,306895916,292450843,998919837,634714320,76801660,111538059,779195007,298224506,753874503,248183040,943290200,260924196,496612522,105881817,630176445,392051922,65795996,924871045,91631944,16048059,622213309,929120551,875307039,158848706,178258000,720267734,803150570,43977412,607521218,939186539,719491271,55119685,39746932,328096722,898037476,195705478,787978661,898462337,168342264,100443278,185297139,555016709,274225048,494561083,484073414,246274620,409884976,519272222,669449352,950286242,228650837,887025485,819630022,109450038,852982313,157908449,397843853,918475513,432162258,687588256,453905806,641484222,815809312,120857234,607252232,484575934,530159635,21382794,104168201,610716825,578984581,921729477,553913482,438482353,967290581,147444329,195364868,738662059,618827435,622813305,839258693,27342041,76879443,502349206,149495581,45461032,434870940,709750128,284152119,862171761,901030955,92507875,130812759,331672837,862417776,755560399,219504742,951149314,229138593,401730412,493215355,619140001,858064982,884762034,422120232,808709288,330215643,72524013,494644279,750825763,737327934,706422304,547261355,384776986,403826170,798655218,419514880,960600763,196914195,734583320,217668605,134665126,403865335,121979869,195197362,301739304,862875222,182146598,711957234,233136951,958742539,552412762,594663695,430177018,975002700,859130431,690678487,600049483,996320679,312499380,83480915,475473144,988387081,928926977,780648876,300775473,943269480,564997101,349733680,686929026,858642198,605101591,89270591,205678734,178450033,886301092,838077867,991221060,212973450,612284585,975173970,437294836,849767679,773989194,674340421,144717426,163023702,722399141,598263875,314792583,688568932,453908602,152766327,164730460,611331558,467396745,471606670,870027816,483422264,520243821,429442583,849813640,607618141,962919378,827896118,178331625,888695600,265901630,15922874,396110082,649583331,830937207,60621105,791261112,168079422,489711756,748588854,985385522,71854332,512933896,767950191,12472926,599941054,633018199,441889182,375446904,221801218,88875514,826809639,288746131,870118992,66981866,167272987,859234189,252902211,701727075,716785485,317599513,17668797,331599353,661178357,205624727,564440045,708425384,278657540,491896240,233079622,985807386,781097074,344725593,542798355,488881882,267350075,467876317,142883074,418962000,788276614,76705362,999255864,633931376,174543134,78982088,696706947,260370293,209117804,180704309,104383854,513967897,316656700,309469336,573888252,350956031,698066393,410901630,332169164,422227012,489899553,812646942,349789835,389741635,729513398,691650590,260783078,119002497,278300817,803673102,632625138,141954481,916681464,154749626,481826196,892669084,11328018,282917752,555253217,764747364,7047083,499818407,706139669,927768961,989313270,93416806,686421545,772008104,217397902,622410727,271788893,897977827,410952489,345032165,940699678,871718162,305459686,104060220,608261895,719476719,1580942,181653723,717006503,498192533,813646946,548968882,975870219,385552187,452539906,598141428,890396898,976840593,181777756,484721904,750110707,265496406,502539170,168163827,53600807,606529708,366786374,39817358,921448385,801412758,981917979,523446702,191281933,17468610,200048198,235118916,366897640,93955655,604900441,256845572,624182164,460175348,281753381,41437322,3091712,694634548,494959177,21048538,800735037,927578002,297539160,846641985,235139177,487774514,811225483,901537277,797603105,238190523,606904417,428343688,975774712,409764451,582378893,224769862,647137391,502320582,694681031,510682148,708630317,793459579,170048160,109306056,285540087,184492501,268858158,503054278,633155670,682058837,349442137,70360344,947677536,872229653,131556495,145085854,260610960,338909152,228431826,27423133,693868374,426010515,723807249,437430295,403482664,119263545,991723177,519651238,658726118,581134376,828217253,39641908,775971897,788233197,412311879,507870045,609638015,250311410,278937276,320844316,873647532,263655498,222321788,330443052,53329843,525207350,174348371,616923785,863188325,386439453,581850155,608281404,19282529,993685590,986096343,228455017,55176102,623254139,857462164,402579076,54999617,411301568,925816859,68443292,293931098,899640030,426543657,597451213,96866387,695982124,707254452,690480319,808896644,989067061,843900016,103513320,218978948,66846784,912571692,625802799,300340752,56588521,341255768,714333365,544625842,950124284,31014761,77937596,129528551,42346485,696959188,421274885,512670630,572902335,437311640,430207549,239686357,70011857,158245009,829324646,425196056,295892674,768366860,958699042,670571366,332081891,958771420,376104656,434408074,172514630,87476998,934423611,344444557,265054586,741003158,543575231,704772756,420654765,626084629,880741702,372740698,205737829,327161919,672210592,560183980,264072993,411684732,983473927,796746688,905938996,840942870,951691109,666030037,1974398,54932731,661793718,925695603,240903629,874843463,151530852,383035114,565695958,274670473,203291624,287863301,221421425,993291508,753191798,870520814,22233997,434745071,795625145,217479910,974432612,44338847,169745036,238805134,177018899,505689108,53708709,695304759,769154442,675655371,610124599,101761809,143824267,696490600,633734497,250224506,408848496,823112795,229093963,112150830,493498714,260898733,360062261,298620752,685175970,496144125,359232227,527708838,159034608,166075364,794734684,896279086,851714082,703539420,645927097,742642621,494964519,847934072,250597160,354729236,821215862,553183991,935604317,521908995,859168974,63054176,306659948,495565416,745039384,227455252,97415741,451278784,529339811,462458825,99068292,578964231,275939435,670079070,931737412,604754229,802391719,804796879,546683742,830057059,370476774,944144879,818288455,7196,874266759,417727968,528968353,235911857,809237044,413028434,208933505,23920190,577983127,788854247,456961621,747846754,599741848,137286922,346929368,130497715,543596088,289136723,519440605,355642872,804114103,208317896,216013318,403945583,526333082,593224258,912533254,139571803,428510389,656843177,356530126,939795738,824890527,437165737,547345537,188863319,685250695,16245761,206538377,634288720,777404702,804239641,728767415,598568307,335738634,425645535,305376840,399516873,286699755,20848175,875316404,595800091,270815159,394243920,637225255,245835536,468940523,275337854,755995489,264580468,65634440,754207693,616182640,85591113,392838428,726114283,417795761,386120651,603927949,747122369,552413820,928808280,685156935,613220170,612277255,613744794,788707229,984919085,45985546,340063915,904067092,362974624,183963321,463360543,621507787,809566801,878592420,847477429,9312053,566904911,246359439,705889100,745329604,216356718,344324700,477698712,46049720,488163638,67690668,833175293,508766244,913013917,67302659,67503105,716617961,398106561,638516600,148553382,509966402,961424263,271521527,536979787,45797631,252419760,829484401,416467636,176082825,647524889,799073312,127362270,639764824,24206710,523259473,351442261,628065873,998357563,349654283,515184617,170520173,137926365,485039151,463474319,423577173,132358962,804070230,378997149,949338724,405512305,425988943,467186165,683550150,984772932,215427713,134109790,656717834,564967803,693477258,483100920,651047885,238777496,912457661,415143532,396287110,160147761,718929943,106375850,65622385,598097835,308311596,891108016,514778905,15946287,480651066,808253737,986027556,388267911,975779962,44287553,974193343,293394641,654337403,918881815,387335016,379115267,242854779,90384282,787134346,119265416,817483155,984853017,851579346,217573137,953173807,499729564,996433457,66971678,153669459,780993894,141433204,470912662,852651051,622846245,89036864,737043062,880627555,619165256,123258613,920796837,533351098,154349285,439080158,839276664,139779643,458283270,655211931,193847628,310793748,310188487,393678623,843041345,651595877,372785867,729223920,4765085,579323054,830092628,713835191,975629161,26524044,264271559,221461445,188891559,98992006,708493699,565041516,501136240,559183024,326403294,485857982,336542293,244491964,578563678,176401693,312083906,560379734,949455924,571326283,191324448,270072833,596023184,361693704,303766377,171278565,9864715,672024780,741817466,742085160,544560521,333187334,687217695,852443714,447513700,489965305,380979537,610605157,691727379,818691899,646002588,530894894,81589735,283939528,471146216,487541794,404206278,971712188,504578842,525375418,163047530,441588565,16234968,51907052,842199873,214195050,85625379,728100337,869171499,376845369,173509981,443939752,447973640,755229208,506065651,184914068,676382266,758785995,420435728,524661868,188278911,933339454,211515220,398092380,833143349,612067307,569304021,635592056,916053081,207844324,388585929,668131598,227059319,854859413,294983001,525606372,896047825,561300045,819382210,749974134,687777625,241748260,764393351,14793187,140150895,318036687,236113923,119426377,571954821,287720154,678401350,752580438,567180715,123346652,225918193,104113279,728122516,4486949,564627264,742777576,470263349,108983572,271687232,318628834,865482019,679478084,622465012,544095152,468277887,82806120,724568267,726523946,352724289,247678618,979013452,874085356,751556744,754515765,673625090,997139504,686064025,430836516,496886260,874152899,998611739,448836022,798399781,696409683,516398137,975353670,654072845,304963721,19777615,730350765,729067047,872865711,80507283,725832865,276833634,884516462,259299579,275245845,608662407,101596240,574729702,677085082,161742063,540890369,29906642,192535530,776576289,602121652,198079457,10034163,872662919,546031730,66236638,816269810,742456985,92889924,791399182,409289038,285010621,342799112,571139781,553250887,486692820,581256897,184741886,847257436,259186717,548989947,856030573,275785965,5783073,690579079,301298757,205766067,991372743,205702938,993912149,478160342,226148106,942488839,281380788,739574366,734319006,228945744,889023744,876074559,482941241,449715207,576607053,416382965,769020271,888368040,962489132,423180122,269788131,589768664,6464419,290252173,817288615,670029577,939895919,518957863,199379513,569578959,483122331,651991350,807708770,934531134,345037977,507473429,261239439,130045997,620839083,211913187,821461332,558346195,244289773,429096824,603403955,608196214,906057704,91992812,914513104,778536544,830748556,974418872,881313021,373755243,890982173,147254449,803254551,561626428,219578361,234121168,966084005,401546095,334568025,728950471,184140047,80538845,719217159,126024177,540450816,762567820,67873783,204351991,132418225,994575368,977635252,146167505,112114251,360056644,797901546,847273587,411038862,271337288,123065693,270435828,506274631,238010520,225756681,97946928,495501962,111525375,722475322,663363243,151869791,685437592,925456897,831830913,50512571,927526404,585726813,377890302,525720503,972917563,302012072,331179630,981732085,198830732,483646123,186276329,592573890,116680555,811721884,442744461,139843102,243067975,935831581,254185367,370015195,407260454,815719404,314117126,441478219,4358188,244521162,151654969,907982826,667608335,533012464,342510068,874608661,689525775,453013324,158666512,100403301,754523088,936831733,237076593,232789926,269299400,221205828,512791005,11709004,275837375,683476268,576766308,103573825,706574807,193738172,702658307,820938763,772521311,714902584,790222121,616929377,771463749,152495121,784347014,165833030,462108089,911545890,118838785,960234221,805798154,987896837,613623585,77261426,120187584,784543552,652393259,815707642,80771725,90942185,194140359,702357073,968971822,678016206,810228791,691680709,335407068,725804688,509462002,327630901,418504775,909692446,874002136,591224518,770943390,396494497,225840592,474712679,568610270,918606523,818252144,557611375,966540368,137517604,915666622,734597970,606978393,376295287,515279572,266352319,858342482,259638812,219121278,84450301,917500465,276283695,484133131,881074642,878901645,770461034,848947235,353513303,324926938,101109856,888264873,642157001,45078000,96989775,210254483,63196183,688356023,894956645,861220884,587962395,668213598,119665681,398251433,675694966,999086120,683198212,273468838,238095961,148713097,394188228,253242693,795647009,136897182,119844594,808719709,50032544,407808876,738584225,95300045,12503292,997466558,806285702,629346955,746204626,645326050,842746471,190624676,187544715,252949750,18605000,631589951,534486810,921409422,162744658,385358203,376954784,297332583,596576466,72840012,596407994,715724818,880885655,350465645,394812025,864465702,952609032,187669261,678667463,937379334,655349578,41813829,473174119,750600260,979345131,406062982,884754603,800616963,598215418,672358486,477694185,86179939,526961051,541989700,223941133,359250937,392125427,181619185,870503861,685565454,431301204,334514534,268456038,98248982,451875485,290492944,499607938,854674740,648606263,598740156,477211256,155020682,302868056,207140483,138633125,658929923,631884921,311758821,460928872,131791182,53335310,559540138,994819424,475745322,393181644,829606487,239769124,662905965,585113031,978814053,641962504,464405049,628921583,101745000,874207344,371388886,453252949,456029037,873458325,892537860,603411979,855613838,502920570,838346438,15437696,753073362,644365174,322463141,141346544,14527871,276469594,666840280,759650337,620631333,287496652,852123074,125920564,557324973,677418029,656191506,798998440,209455835,913064304,465497406,895911052,391951881,860321034,646783113,66189039,555804336,343227258,800171546,849684073,430996071,318349993,483188840,587509292,767872198,341375158,541950523,767793476,274386856,100254917,104727740,395302263,449899356,390843379,863329313,842638414,109103335,441915923,990730438,554759896,268200411,839125055,513600857,945434841,251388263,307273628,295898667,945817410,90936555,373432336,108214309,926053611,564988946,669829542,123543438,756066419,260631543,955870155,190715,724104638,585775255,213300477,283216266,419709842,975664882,448612339,71274640,27598387,94291987,689564862,548846689,175983219,240276252,290199229,394538687,256121787,143009432,367438287,394442563,717471595,209714222,360434935,759874372,765051980,573432365,810746581,715663005,710010712,2763857,481831936,661443686,95870374,132516411,880559774,768503402,399817133,540463548,844118813,294850596,782850195,689819606,726316030,929551008,544916256,441345499,337263069,942843636,961349906,810245984,409859617,403634314,197070363,636858187,219616804,364343620,272326701,709793631,555674260,596338922,93668999,678707424,105172622,738240378,184169336,7871361,773418172,144385151,559938344,342624945,903250965,980799402,664392122,9975315,117967570,876600930,518678823,887314055,924462563,740080433,347010148,907877187,990812087,876308627,763008000,736172163,122521294,806475115,831140680,274879792,39869967,779150239,232861936,387763827,630654987,884427889,488325117,427315126,694880138,739844175,452514992,956608783,74956031,619535825,487361279,219641237,499595949,299466294,49004948,290132491,171375203,928768348,68229757,288890792,988466136,583057039,984146186,799107945,928032089,894103602,871292270,328090417,211144895,348212316,693270394,977787775,359111950,546279142,332189024,22152623,322392025,175957409,689972732,916707147,735297369,174035272,638381075,447329618,38039822,362833245,778764691,743706250,934681343,191923322,141578303,259270111,566616804,815187344,241029196,154055420,327307145,174591000,727167689,404140967,792025457,829077588,671289435,312569320,835069383,5447096,256222080,416942274,331572399,918874728,987799633,491290092,992672333,939429871,336987329,599798227,751748057,48623364,660906491,483298529,790604907,931970346,384818392,500389663,682648397,687212261,931635093,63561014,647646529,66429847,111976858,604910209,506679375,555515669,123847693,44492632,178847708,946204343,845354283,427846975,690556757,914308617,189403235,36675450,542238247,794804663,577442071,517924905,795204990,501340080,613354260,854322902,571260895,510260438,414373757,959194226,105045310,477394368,72800755,445731641,103854338,841523771,957791852,191532511,961580297,388877143,102309775,428357400,830081461,563818151,866259007,485835690,30082297,948589886,562392830,499109369,58433073,733283579,36428328,742298882,982643403,593203780,144755224,578059814,254472399,22301867,789998879,735889165,918792549,557462809,552573722,576530981,680153828,916392479,646974858,34567001,994679482,9460630,972487263,300018493,640747865,657751837,627670811,587663859,814605409,776005740,344540768,914442808,323409866,565987127,539745133,675037315,450123788,413095721,54159360,368457255,171562353,621533236,59200583,982705473,142943196,24181977,786801377,843283079,40385945,194742271,75718708,644665269,829591822,640312514,509973082,836543579,306452012,813042080,944898820,550143784,62021861,992978935,196696601,710776674,757759648,788128770,508886684,407131667,523136459,620527910,480558764,915736219,812216291,91417414,520775627,949658687,84409460,816577062,384304457,930699848,511428540,836975433,968245972,453251047,921779564,216048536,494252696,254735994,205744844,981264789,990061028,985782286,822067443,316563393,763292217,708024504,693075248,99141092,956296872,55694579,52732834,308486669,557081203,58042609,935091786,601181323,938701215,779116109,989803820,873890548,589353904,723945581,876703675,211910418,896307042,762777210,278865821,110798924,437579393,628929110,829831404,526410075,619011952,978008449,65222966,849172173,144839480,782970345,398869366,641298141,698001818,170673426,345647972,659858130,112495963,432970454,7230343,585967399,715821978,40623996,971749782,842350030,580042921,989912562,166642836,973760291,161765884,782228883,527819807,138626752,850353393,333606921,648705625,47313075,266982238,201833381,308526839,68814931,927686741,262022530,535614874,863188936,616955547,104202132,171104622,331238109,251912037,286572272,573456646,949203657,53043725,806243760,203265019,876486006,948937495,567449238,415256129,988070406,968023790,17019473,248737963,120681248,583983950,153993219,201935152,136164457,829871955,626291047,394802246,260007922,607931843,24306224,28575069,225321218,908829358,169220022,936512506,665776761,704549784,698417525,255461139,163951408,261229082,220008280,348623912,807148420,371106186,366690995,544609152,213870993,408196963,754669215,399795747,559323631,485832609,350352952,721747050,21631935,355573914,206023787,964425951,691307920,159549218,671420169,951126219,634927534,643582950,274406843,632962879,760518512,229811483,390881175,924757771,38194303,293272202,173491328,486019127,734258251,387215108,437262928,728554527,275024192,248976244,343245733,701258706,170540138,465617442,858198203,574360296,946008040,664094170,517178634,693040995,799594735,255316661,449678209,87199479,511287441,125791016,282384294,785396986,457604138,287610759,723403051,10837888,746035325,640711757,995757787,2202152,917093046,577936335,648767243,785286990,635011419,695112654,374068143,14921666,440382233,660237890,526475247,957351727,252635667,812396571,412310376,326907154,30634198,706007029,970271608,580512741,972748916,201325968,314261339,716665373,962091777,486226702,273466370,840975366,599150520,164993432,484979571,418559139,363203519,162207943,208330032,473511398,794841071,171891390,336414769,600986238,936969299,859143400,350403043,292803417,958133236,937969576,384765730,741217260,719124565,511975130,529929688,872979520,413094461,630884202,651374826,857264663,228977297,822943843,77199492,710743715,932154071,658944343,426960928,905863513,849222023,315065974,933274562,40403835,803059944,407747168,714968487,955036691,961766212,307500705,475154160,623864479,399106155,274460576,874887932,936834756,339899692,94033093,512791616,159687579,734508020,867806917,575669353,479473359,574347008,79762627,134124861,471750395,165249715,875142716,792987970,24874855,280763719,405529976,351781845,254659557,344786449,430895550,933134790,249828212,490208485,678075790,434169584,949903024,747154630,302454525,893883097,226358666,752566952,839129014,742747936,33190139,395772530,458036737,292028714,192074274,74568408,403968414,748157558,257293201,281945344,653838435,6418166,891108797,915633643,346851287,238668024,519068579,990641799,785190834,689000043,617317650,214079151,651673204,509008143,739303645,839388246,925063421,921156601,846270348,23338925,77029027,980991821,827897533,469982935,53943776,846861414,697151374,165612553,633591435,796789686,94826135,191030409,643245772,130417543,247948564,119420540,580850845,676206991,72685894,636684603,927693599,49440245,847822314,682549684,556752146,961680458,169120186,531127546,728504491,155076752,472477553,26185430,314397086,593668662,434302073,803071656,166722904,728113321,419246569,823603977,150361255,524260741,503555043,714625615,899435873,935657071,874663104,400776830,362487258,525738000,760317843,548463811,885266979,839427412,433041928,412050312,612894997,821381333,652561053,229504992,846168965,640505243,931920981,276540988,449906316,911718584,415403493,558731555,210481417,997112380,677146064,356596017,440393803,795920226,536832024,380483176,750339439,586263421,998945515,742636966,19095687,544759610,601077107,910875650,945314815,63859444,662491110,300032016,403559725,419986460,776754797,628474677,467268624,829082135,908578842,585907583,789607167,744806186,183096567,761609482,249420887,836197476,253923842,308179723,450254095,243805445,266396839,346532591,905313627,551598215,702201115,726758130,687676614,236631803,640582483,423115271,686022811,633283961,827195312,15568263,353725033,784509879,492037019,149962977,442760370,802224471,84215802,419503084,192316496,71993407,898152326,526961975,549858601,420927066,647960203,952264125,611390294,881248879,420701208,60215625,141109577,140160557,666087815,899711095,497256422,239930430,321162812,247695959,381869073,479077357,90739426,900726892,976853294,956843221,967708363,216888022,867880771,358897449,13482112,922833301,106553674,364182536,125102074,136642006,688150639,908680559,829094436,783161410,568528323,465539993,312580456,995303187,981020101,163170974,610314979,514265265,891956656,534089572,612165061,474487037,420431481,81497077,710994339,499216688,424426240,487816844,567122801,892902782,26150520,808970139,588523652,958430586,105232988,52316094,34727794,987544946,87835266,680533528,263981250,834389173,899284767,953714733,713657205,540007592,214744952,937463253,217212870,326849700,348041291,65211132,267468726,437899834,547960261,634687043,392830359,329034061,362074703,328208783,422784216,932991516,547859838,705978615,566715229,113056206,595149478,241510837,687025596,152375504,236767204,922545066,426562337,764458519,378479846,490049868,837941031,791007688,249012139,383285845,45636102,911597607,203463101,989067196,692922359,203195107,451818278,508067011,342071527,910130955,137533350,352096990,738630796,869751449,86932798,340287770,188560444,307565626,401961661,224216713,621863829,842680673,571616418,735386469,2994442,554920496,363702774,583077970,171947489,823150020,823902366,111183003,398388622,522257152,566670610,788013440,590697365,640831838,39024039,912499884,8811370,62327191,687633831,304313578,981335386,482320016,206110601,332061080,718366693,329269658,164039620,390897235,57110029,241165783,701173195,435585244,587926996,578277565,506059373,823881904,588590690,840384877,75079957,338120657,579233837,539072223,792473388,668530066,291709434,495383836,823482821,358797138,975488661,758708968,925414921,360134510,741241064,37619542,682589918,48862538,570095291,763958119,621446693,354067065,940041555,342589058,638973134,749428019,399463367,889464314,664903991,720245045,306576824,230806347,880052144,629948087,913718898,476414358,697858195,61381550,61461081,859594576,587650728,998124639,306126281,653894853,307950863,14633817,284023905,590365765,545910454,819049149,573339380,646451912,641630250,724397922,708891862,635458180,129075787,767080136,123487615,882529405,675313439,703226753,739187981,853046248,948038338,643249244,768863064,701097138,75531109,102341767,633534452,24761866,736101180,901665193,778152980,460992832,464506199,203942172,559441245,327089644,46981070,890113926,75116040,972911787,675457626,551810784,861759921,656744224,150777945,234041263,870554880,48222598,274714785,922810899,77014428,475706068,136451449,515841741,932306844,653963566,648096103,127387380,324983733,264651335,553422746,527078004,555777622,760112411,813247311,771462213,877911242,904042902,217633781,173158697,584727329,706707,610046718,40515473,571061819,293189931,721063574,684877919,593336402,518410949,673907818,514645308,856952067,317852271,563922201,629861151,336665376,506707673,833158059,918759307,728126286,600815654,746718612,530026694,73916388,113380899,485324156,819072449,60419600,317004428,673267345,115082905,650069318,692402405,370925640,260504939,968442637,690558453,719518542,845572865,44393154,656342609,706521349,675521812,920522813,74338647,506450328,303648011,414981551,990147473,903752679,656120861,373969947,460605808,218197943,343657869,801041350,365256237,186579864,363974994,33095639,248969511,596486751,976626114,175936801,398791517,706523353,305891304,324467721,605883243,102235086,670445618,421578110,937202171,861036786,629395370,902333728,851475660,848159169,604164741,546868877,481435383,819203296,92821429,532217465,782357409,639142220,466790988,516584104,61030522,112368078,37749876,701033099,104647262,858917270,999384912,71321166,476244126,830106372,544502078,420715197,460469625,584895085,148621123,385574952,705794784,476184414,22499926,661112901,689485482,740713953,496915368,773467369,659268335,852433556,733186459,679050719,950680433,463354019,838588445,632758605,380703242,443091731,863618103,856823436,715628120,877256093,615311867,183404594,831364448,670076213,283444682,536917618,946639188,474329183,132762094,377620255,20938794,630938362,728185366,654971181,659659924,474502329,399361003,831846199,866451000,528151476,698318225,21578227,13484903,386393512,932173833,159886041,611743992,481581898,821427954,476051379,229569326,40498099,722860691,580949579,188563007,361986406,164323131,855539550,472627050,196008803,448757672,60147938,380236897,342414189,992665181,854067633,537199697,815002180,949668564,995420461,252792146,506939191,588591261,465239896,923936433,459213428,790016887,953428129,198562045,134433120,390731329,237861089,352207466,198838063,650966007,907524701,973836631,194280773,313362887,841713715,741555664,289571749,182026438,676853213,338403868,971741892,599536672,447400313,453102960,388256185,540775774,135006146,832590058,856498157,513902142,748409569,437107926,150070716,197283110,89733469,981088839,287384371,890684329,503581152,112951890,386935,223185113,820225465,180025191,261169410,498382002,882687321,406839741,902823003,224733556,624419782,921001849,924363120,371344149,384057924,107488408,817392123,560377711,150550232,727251767,484686273,795929620,97335536,690323329,399346394,651586337,100114919,189352689,403674965,778330339,955315906,458162032,88324999,914924605,543829871,640807812,422743119,724498518,64719281,858268302,422233699,462267402,988865491,687690797,113871494,423064530,972072447,43486560,278071456,984831690,818741308,82364960,502040092,729686853,617882051,628893994,233796161,558171484,443469250,915910912,872876582,206772666,966593565,306375982,989755171,176775937,225837963,77474066,948191818,117085995,173420583,476397306,912878478,521710220,132154911,577540016,747417741,748470411,103087652,775127361,622349710,851280213,310066490,674759422,166691120,652824521,449089140,468357719,969748336,380534571,807099450,296158404,220916255,823203704,944496576,521983178,956426189,998398177,617619846,156418679,93712391,362638936,753430600,26038008,466165272,328264083,384970500,819703612,373541233,722749887,584543402,411704180,165278640,306712970,481492020,14792935,994039037,778079817,10797187,299941497,135937569,23554048,624234941,44403889,594511540,778366993,341523603,505308650,439021223,403041835,672153445,758973978,449806207,496684321,645325154,351693378,596645329,313193861,664630058,714591689,600853143,815744859,113013761,919272573,801116015,665991004,517341576,985084526,809821486,282384491,58315628,330791718,428356156,814152980,868066649,531323996,23821439,675287952,273833187,389878180,946274035,291083151,333883021,186152604,573417850,808374986,775059355,799597656,819308879,996826153,806820696,54120541,635740259,357873666,545269632,605499640,671166872,461812857,114856031,133484564,206773696,836706678,342845268,414529581,897124006,816038766,646947121,945231149,816991153,892650799,47249382,162285210,95957867,767761183,993420812,635432003,323889691,450636372,388490735,62915124,203797467,614608242,619663878,968085565,995891825,490866337,15929608,122271888,795415673,356177681,784433321,570130425,702662225,122958230,819513736,35730060,894722321,975275319,763543796,850828039,334775150,492257525,959334232,237013909,305682828,156520940,35991473,66198886,281137634,969016320,782453162,343968108,243713420,374114407,516562255,352288841,666834571,85608581,803140843,242398302,31688794,804221635,361036875,249129344,993671805,609750962,446212271,485951259,985671232,577935586,862199000,632148540,279508034,721746014,237200564,652212722,87685516,25143314,398122225,66972651,491896791,220593876,539336501,663497910,526153292,269715156,495593716,42621373,855786274,90687105,780527801,27806373,438172694,301675144,208317744,817116931,752722689,429310674,258181958,768977567,283628015,351072331,544837875,760515204,331136661,938022905,429787769,48229663,438247536,589444452,904963613,822375608,920165216,510679307,129785810,628752487,304822709,647592754,54721439,970901985,654793480,677833424,928274087,187702904,564833637,753722930,537256772,914386439,564632792,806678587,218615742,712809008,18456551,606560007,652254524,362382103,225610908,45108532,149382676,311793692,449915414,460217855,404116920,979543882,158669251,874690777,844661936,365098734,684341563,849928485,221425130,759669828,361040617,762331829,657807221,960325681,988574631,90801365,177369198,847767572,246623445,838601621,930521264,119407793,593388444,489313410,448574489,349496338,476886260,204618925,798812712,948800524,982903132,817607822,122145922,939011800,761150305,768746374,904255629,377328698,861067152,565840120,814080805,846197143,100070009,115121747,4794494,437869142,125923431,909143679,215445248,996053455,714906352,113136051,344378635,897365626,112980894,912468444,512974104,790273993,820982727,149344919,860445130,603826364,17524662,71617417,668881656,691324148,317772586,989487738,761531163,573906794,283745905,843418579,855624374,80911880,579115416,723709971,761375577,227640224,806909587,198799948,429370687,416547153,704520613,522049522,388032450,878629882,405575040,389638498,435374108,95257077,232218936,186557331,384518599,722751421,451478752,987891555,411215134,319701476,626044609,929851570,696956615,593719023,165631373,31113609,277772666,384098694,681146999,60579862,27969567,199669819,945161475,463130709,536779528,9918650,452184757,343552320,328368690,172775376,534360189,518240281,222148990,168915281,22111349,54850381,268094778,721281870,373897306,674275086,231091274,985059674,708807550,465793647,252820800,995408259,144243848,787001796,142889231,920236296,541023273,827037954,725236611,702586499,458556832,214444598,177376678,688758570,889195801,325250553,494992,335245354,663800100,553846389,713664205,40795768,713040466,352133193,257962983,435161560,540558180,148467171,824899859,591623284,287770878,844592551,597840141,756672696,125161684,77625643,727733629,677401932,977002146,475075822,547839372,487390404,359103874,820885348,573672410,959547848,964485433,755110607,391081756,414992551,225702950,87427772,754353808,549197043,810235068,994782119,700626406,727978273,728394893,66314870,678146814,864057926,319734341,972070207,114557696,30985117,643142626,697571160,404360373,999781036,451921543,196494961,121389722,583451070,361961662,550465955,499291816,763327108,400808047,242921605,872574074,228589764,438866545,753842,226530700,286017299,956966107,569283358,952846502,9105751,368453422,299372519,261041244,878080173,773411448,314011997,852671694,657067561,401471727,704111140,645487496,996917309,851595852,114532715,940287214,5412057,176538797,182618370,354439696,170946495,210228363,789932920,724540540,875873137,991543791,59365427,957541799,595436325,595178129,646449991,999135056,755600978,466862105,521342747,622443129,963403392,332147557,629948104,287601044,472243910,751373365,589991470,770609168,255927480,242694466,705231654,926559103,417379338,745872627,985551716,587685809,309817047,574440066,955196538,684384664,535745911,3869235,65638140,766068824,127804175,998406814,416767052,623676990,802239553,623707060,854335206,755612068,314706117,430011066,80602555,667295792,39906305,654638183,860533618,461805653,570673212,97563302,144850872,712722693,654225117,395554701,110128394,143624490,592734389,985680928,297547688,940039435,140966669,837116361,123340973,905986838,512456135,49845206,938100224,83103860,755892854,683031408,482697864,883298326,223001629,334618454,723478739,226763291,810665668,664403323,61829583,602190449,298713246,927340639,253523770,653593048,18338981,671532829,810477206,51578726,366403504,635890108,586673215,883907689,446026920,82860574,858344365,617077824,281208964,146278779,703798050,436195336,917055911,773032465,40973761,233941271,176759421,977889077,803613325,622223644,729276593,985427806,538269071,854683567,946551100,656628143,686292560,907040331,829731296,437748484,973992568,141824555,794335140,827409377,294099587,386553357,232856843,950893595,882814603,143094950,196402292,195292356,154475156,415621172,337788857,757532708,836286159,327559762,398027270,93946094,592488156,933427054,376944623,214478089,814816713,651659755,540363005,735017108,630485858,743448954,518071660,308072573,384779151,270179497,368075025,777609333,259367444,192071033,852146396,527426831,686352,910339518,768960781,458014174,873725932,821371367,961874001,323862525,599315539,976190282,244224318,562162857,390681672,903476493,973667245,747892227,344239338,598342065,181720354,660719179,853341242,721247596,817576524,646629034,369969766,275490552,542983348,391694266,312587840,577918652,483013297,222577962,246050625,550021767,631983411,124676445,403831237,30431663,202772267,383986644,418308562,537984796,639572477,981804859,122946880,661104476,795495545,153912772,531381974,718905464,268540152,562579601,702517233,236615789,593694061,842220953,284363147,445436719,189572020,130567489,134639331,345543873,973394064,165956637,278797541,384444102,217315862,83807333,326981675,484164694,80165886,511387076,750879124,622351447,57149934,572776425,851344389,492686069,764158670,100337843,811227648,367243272,849258581,402510371,4923888,214958230,981713433,833733153,199881005,141725982,930995332,60004419,858554703,787094236,781794052,237227928,225466738,427926591,482129408,443739531,43355532,337453283,804945489,2491058,249849165,398913822,467791624,400509065,459581367,962990925,690989829,364169054,895165168,532778156,662061056,198905049,304037144,462461953,579239787,826514406,298104478,400743947,996545477,389017394,156585037,231349437,894406530,699143037,281860178,240625350,658017814,183144767,37835281,982306868,823892625,538353285,22085152,540260334,122756032,939637118,661357847,152499782,652415242,711829352,160895697,833299055,380043790,61047311,455280624,427003562,127377627,263371423,352265402,555370632,3342546,546515490,915170071,320970482,309331195,866003123,445329210,239760193,270145790,262699349,109063579,293605958,28028742,43108044,714531802,292831882,5258158,960578706,174313495,50686647,38306937,263794623,34698030,545961364,417771782,432359561,595953435,385752188,548660554,285702298,673161030,608012755,205230966,498956144,368135075,216958840,446938231,568591358,331547128,559376318,68611527,665301170,34844435,516892973,845043683,240248260,401307982,567153471,960405747,153609039,857419861,118309051,547682379,648148426,991952539,882545773,184061399,999070781,765982521,267411076,419502384,124165446,224058051,857998522,14496073,264213459,986820692,570282129,211753213,245597268,930143204,774551498,514652876,925073693,921086628,640773887,73060225,529715420,40958571,366734118,683946677,432313285,992760200,784693488,930677383,619151604,805284759,457772432,592456091,485100032,955898868,391900453,219676832,562759638,430856434,967077015,421103699,992963917,110482359,777569921,470580703,460032189,233271275,82572015,650552543,189372307,550063160,647746980,236384115,179347295,402139142,159629222,273418934,139601570,639676421,652064016,84453428,465043456,114055612,584001438,882590566,676394963,483216179,745966194,825327985,985623490,306947409,409524159,138263163,64619898,417338433,406408681,176380047,442151325,151506186,149746198,474173500,102746034,226566556,996627825,966584070,365471770,849933266,413800255,598244754,126970922,185758186,706461626,401986302,678089530,630918032,620166883,400240225,221398836,433075871,195422184,666716900,602329513,751455164,227663599,121331035,46276718,596554704,50099848,554281974,271420442,500849468,661363368,634675694,460763583,913662985,991783536,333018579,731640294,559230455,999669244,758691851,593952435,511148631,493139256,94739801,638739681,281785165,660608903,886479304,978275634,683136324,434348291,724037738,886238552,683542926,3901775,770688715,985889474,744394045,687499632,112022925,709757837,808444152,388990657,414047616,771749579,40009897,498367058,958240729,510152993,969036435,944212125,311926042,395130471,761896151,180718861,980058142,562067677,69013272,789419877,169030287,934204461,315969032,819974762,550314188,144251778,822839592,632707453,420496940,348080391,772142856,290303779,943238844,849751516,485101918,860570586,469092857,46109389,874054586,699654764,761626656,568016869,600632192,355393880,762871144,90723412,421396573,821959691,688529170,1176013,636078683,112883067,320579043,381618296,65758063,25110816,490864813,386913272,267005790,562375298,289107207,762698447,434785338,856447011,259157584,270443820,38413935,900862060,219634624,624575829,287227775,972836461,345965740,122320627,994577485,892542517,410959298,971836054,585178827,117477242,84885627,212011083,294328681,180829844,579330251,12516062,70827964,248185109,531725514,74432849,906905354,514687983,780610483,153238624,849709297,946298535,53595615,745693607,804622002,54756627,43445771,681610311,38927291,250831651,92816901,208539633,621293214,38923469,40014046,94843065,835306181,420634293,34189616,137708148,520134747,933145517,831535807,123049281,651596986,290989476,517207984,479116597,81926487,304904974,813467686,898725379,136962177,297897895,269825097,250849752,841034435,52275124,410518997,430127781,228071649,857447845,538068858,870164542,486173353,408732220,508445817,690253051,460612092,861451465,825936684,792543852,33860420,246938348,74650582,274397244,779003226,47608585,373548413,729452187,450947645,64419561,570761831,893669977,512129496,560247894,157216026,460511522,286346537,125211998,68607530,453266903,322374612,609662657,941008795,447510415,622127857,232525273,271107278,146650050,798543450,199014443,378559878,2556259,485621987,525607726,982004596,891950318,691909166,986595406,477928614,879722556,343044273,843756926,934192441,734762611,451061712,218968049,164305574,360301957,346527467,3541627,831749710,554744489,863022260,469664021,195610995,716813815,468569610,505213642,891866880,497163608,516967543,663054584,17592232,266839037,75364631,640890895,42432106,400458258,50573085,635496654,987670980,54635066,106795671,287172203,407075415,987319132,14555118,364617675,762036431,130174471,746255821,523371353,192952137,917919583,592421069,260621830,727676083,718418651,478613439,341651556,32387074,33993304,670410400,778137207,816385576,779768161,348218763,558107106,377331256,348076380,463754910,968312238,623691316,843438135,192144111,263062791,8396254,188375947,268693563,655663148,980204049,662748233,886987069,500848743,127991937,90328199,655925105,802214454,551894196,338525449,272553358,89074570,403690229,750680529,963767653,348220040,992991157,481705836,368971410,520848735,487146815,200981416,473334755,102479729,150311732,733699420,994750700,701747533,176834944,953437533,290193853,770726758,323588193,875700073,247099866,94618591,244764061,295905921,730670025,438770849,646314144,167970305,672538052,707512052,247123584,608636102,66828623,932791585,697725469,739802925,417783928,530322736,689774871,936311568,241103937,3521906,943169413,818582953,441718464,736967953,32964558,876680770,571792946,877812978,298006531,946872519,818601383,397880826,306917487,974441601,417490162,596268138,550148939,728347200,525715189,252588339,159300732,908036027,485683162,319262407,650688839,444978653,675148744,663825138,595867279,601918782,509387871,387643530,252143331,175342659,369316536,955448187,468611249,827371036,106674969,792723706,921717691,261315152,438355800,536649863,118600045,580022577,837980446,915027864,488953072,166942234,121702104,282827493,33811094,264601835,697395753,758331025,460562419,661776659,603126663,135508693,18070721,816161078,43800422,745569448,297127530,252617221,409557014,504670446,880394325,819534188,449546171,669337584,820619341,184891006,809311187,159490172,934081215,471144905,917871470,383249098,767639231,501804806,867699982,97482663,991894058,502902913,457924233,235772728,120059640,471404572,418640164,796749337,884715396,373490539,315204547,875694208,882820176,571585124,795112399,899878622,950346063,734371932,435264627,823235001,764596698,944984736,724990926,518324522,208374588,143958253,295957868,997607882,622113846,89409853,324426646,526812725,887937857,9242879,868877127,391738492,565950121,291059769,922024566,415464520,551954645,807666712,413521823,228025840,526452536,562960385,906565819,803103892,666267790,929723599,976953569,111074976,429420284,837161900,312739976,12447175,74041168,687543860,633979864,846578667,450391738,107315174,233237385,80426975,311773273,590603851,162972060,912706750,517798952,720431751,591764198,798839458,370700607,636758625,651751707,725876751,831139589,202094277,352227371,743385763,493988052,891721329,313094736,198719551,84095382,208912988,157142055,466731154,963034302,665968701,316810614,199275182,934727791,797407116,257650561,416314489,631506157,614898732,691145005,586859638,836139692,409334067,887604882,531412748,431268935,722847932,870789722,625150397,767377140,784795644,342128836,241530187,112350823,769080106,353760448,53585152,319520015,642906548,3268567,616176553,565160808,238703460,945973409,193817389,652493598,388666686,122337561,530505008,556664850,451765895,612451766,564998699,980721121,670499449,486266383,685585232,983390550,515573142,723486808,429971424,186489493,900915107,446162002,44195415,721458526,419382420,38472364,833236265,742693020,152289252,788193186,158534880,709857716,749692283,838669423,246931602,432779306,452892037,379150706,932674412,834895791,63823237,971883606,19950235,125686603,184080153,771784856,931889805,910272493,91086825,672174521,129873723,120628653,153232096,421582024,134854291,857585432,791909848,886973026,684807308,522339755,27019515,120986756,93938277,394714582,137916484,545632001,416067371,955901998,737197454,276881529,200880494,200210786,201382939,88603172,968466280,946719592,852109140,170208850,618661849,808755398,93699019,472965026,666049850,864672953,202150658,146219364,529903725,694968427,774710888,695690527,975561063,543791842,712420773,339634466,412937220,445125911,816632838,180353024,794988472,272128307,558280784,685474672,794226082,308420646,161604439,664740149,57270111,671706433,403836511,690809050,639963225,257216895,967186256,877003452,33371717,678943845,205349068,204266438,113014077,311831096,271180892,230863634,834664394,189741775,225454859,701649003,28558475,46024313,129103814,927831952,336871941,268368470,534710260,98266561,860456173,58303246,713763110,545122597,304308805,377925326,967056249,24270457,492144901,963185690,575042937,676016448,572412148,127449999,942812609,464498389,686975585,634310698,726970388,223304640,392076644,37436532,999577952,433596510,450893746,41594508,938064667,162362543,180567918,330826407,831883855,872498659,905374879,234314456,1690028,932882230,813821405,897120941,610312780,153021946,394075752,564315820,217724865,645556053,201955868,432667550,625254382,100396400,407275555,159267747,266617410,505037638,187305277,421879283,329845624,845971555,932712123,794330869,280222316,993534372,15709157,410064240,45223373,130810233,181848167,972495506,855473340,184899409,276596449,361359373,197311659,929170490,154515025,612426231,706645594,716582270,212234101,949264455,246580819,472303767,387761508,438163293,373034005,752732522,676156721,770717256,282166512,414653065,239175977,947929162,31315205,632910563,918021486,449701935,732284512,705089200,410280868,567651668,499123066,623183068,648501761,7725981,697760836,680474976,267185913,86724888,595682747,326720240,338784224,643186769,894638394,779067952,518106609,652334385,45367437,306138260,754313117,882783693,856647229,996142913,928719098,582462674,770351642,48025526,268455896,901856644,987586738,311824759,868528826,43557545,243134916,901640220,29174898,495498466,364574572,124758335,7676108,588380837,686922015,732555383,474906951,983070077,559261369,377986296,225211041,525653320,220795793,39190849,938714152,100850287,532570449,184165016,274486516,606523033,39713904,618708245,472665290,62905052,922767035,649502393,125297053,88722436,316629164,16682629,263267114,276770014,295062126,379134026,560665854,690349664,489001678,67937508,314009954,463869681,769704707,312100972,543248859,148302438,686338912,217231154,109690457,357692698,480765785,779119801,613561320,451754302,228132163,221412586,121589493,847573833,866828181,556242893,712003522,474446048,70029459,165874727,774201826,245574651,809070706,13008546,695215898,683067125,763593209,764710607,489313451,796268962,196597499,251558476,51341986,740910897,873204250,249131287,667507174,786856346,604474983,942253712,837743906,713990862,668204701,705857922,899556484,481658146,954306340,462799196,408862387,314726495,429050331,807263256,468763545,204361148,508259725,671412127,615761930,877899480,970615258,227853658,753566040,610081705,645749538,462300112,681249544,275807651,479644612,48748794,24844886,895940714,433970387,687222785,124592386,565405950,456695031,626509407,18150260,284511170,37810205,934391563,423893106,960097671,584923487,188729211,950909944,837558087,327692653,858304808,400231520,475217469,677530166,155821128,942491270,16444835,479988130,558363586,189198735,751679344,858475479,902405036,217947462,465251689,761568755,747427843,460037280,183235588,318795864,362667376,572179478,744213751,978238392,940658530,403486194,109213485,829453427,20394071,901216926,681821836,953926582,13300776,10681424,755248434,242720529,686708382,382546355,636177389,728025130,862204907,846166989,976762670,682555094,815289826,908553720,827180134,582985652,494652516,723567369,630844740,430517347,751647587,440188199,777122922,571440430,838592354,653873765,136228969,203934228,635274763,63272117,969045804,812242788,314170822,861884924,893357962,727143427,336358730,318791986,617264357,386186885,102880216,140639030,897868620,890232980,209394415,230074373,505083221,238948881,208252468,975355388,98368664,95480383,611957140,755038565,112340234,107372298,282964981,59454795,881044741,467207094,409453124,56606141,651896222,718951682,326917272,146368147,482080110,885369886,471896742,925897479,686605303,735037199,559209066,332676394,229659200,400785554,552179900,821141865,448169209,570112747,339462652,188532255,561273645,744969872,380669713,672318286,146690548,91741325,380885031,977518244,825548322,616080575,559251848,586438587,775199138,435295099,319868821,613649805,849405103,114212011,355672673,964248912,620258708,471262175,954996483,960138710,688094520,775210168,696492812,57686194,110404064,442305718,83428432,502177232,935689106,581167159,78504597,624937500,730342428,755428666,100159332,604288964,968216276,385884642,868759727,383356248,345206870,36814550,277183278,583804276,616420055,775059128,847835043,139488823,580987814,652493418,696486925,478440735,360700735,595793307,181137332,563852413,267774103,825120992,214720247,5318311,524436263,461688175,913288165,980742124,147904858,561681453,401165469,355073056,125008541,321218820,15908594,423015611,659907261,740488558,196570463,380714533,22107340,205233727,479035013,278836630,536593570,267994686,368908909,396765180,711518235,857313996,59356538,731472739,519640328,959942868,408844447,254480486,968014610,484256446,545374673,136703931,30669465,5655597,303716087,819891267,319826206,439503712,447309052,433973195,197247272,226285280,178649181,682763048,702168261,592791496,69055537,879816207,422873596,64957935,606980159,720596994,782342545,14625896,607151750,602873833,539892258,950208134,835865482,4447765,423035275,775139035,151728578,315317838,16898165,844024823,372920263,905799025,273008680,874673976,176402825,163833626,544752903,357546787,806690655,478831369,158403968,470499899,762579643,745619967,533962789,987236412,645546035,646352823,289185650,651287169,766274199,643506546,611287705,59352029,944461980,309643678,734119328,347146702,590550647,60749610,158714924,580457711,333714420,856518404,464755333,895477869,663289463,895396732,501001558,85266375,379875325,298463576,755399790,244318525,580187875,7199134,183290209,962292727,992089208,134538998,200683816,645861912,865923905,78535994,281937871,173574170,398454248,860958422,637437768,624320127,20126064,658493639,765097934,57137425,683783651,679414790,297471854,341076940,956229375,629961940,847381884,399607287,599601074,43833924,42150779,208563553,610307813,98659168,933330881,898833570,997420634,389224083,884233642,872788184,238451280,470201872,770043293,371300959,295112562,891370563,728976045,995191024,320882776,194398767,292269689,117112992,678423562,487333118,95765960,190009770,348993691,260041689,699134365,471678793,342999415,122737384,894844054,653383246,337290883,3065964,237673342,157268126,708047007,773257874,562216848,683285690,986336100,535889424,26985864,872837416,272284351,460016280,185858984,429584916,585603286,581305222,133472310,681119877,246471283,403621953,846844353,781549352,187546341,879255202,452058691,569854191,27063255,487457855,641487822,9225698,449451784,307541033,708160509,745471212,861208075,768232471,167953326,233360853,175217320,437741600,99932833,330317052,90319782,20707655,372037950,176977836,585825723,196646106,137246156,112941997,740407981,790528804,522747088,291174166,390972587,615610314,484877548,217550936,897262751,191692754,760104027,257288794,509702830,507258890,132814310,196376917,663851522,852213852,419901023,949985895,22477927,231685824,567728211,214503116,194357603,790071354,792416044,749560886,210263952,660997683,840210728,793519616,354485711,198716207,194504322,454804011,77875936,344367387,225936631,69006046,610655039,878431516,721522978,393191837,873482784,316248801,993193659,712431810,558637298,863284362,355851112,99164405,672089354,838002714,239147862,418511889,329898526,683759881,128348574,531006072,721437774,565902759,111930463,902260402,386917368,197682330,334218947,923375749,638396654,202030766,802341545,260902797,743865100,900054634,537211025,629316524,85982149,436084541,687383101,352705514,593182780,335298662,15149435,892675868,706853099,818082592,834324972,222456075,168148103,249865195,855199946,654598886,304808561,483756325,575073647,424156165,923837106,423847277,333883018,702480469,960381536,832561886,374187823,361017231,790998837,285740862,139184071,860486939,853034367,945175819,62072175,300620109,744503867,89484259,503897498,392232511,232649891,713272552,279424593,531796026,217130314,157248173,712937081,488342488,37423682,343881772,536638416,377484952,858221762,849246978,487246932,660743520,18719792,556132483,801771864,719160610,662869582,97364353,807212759,256972176,26517698,494417720,424395535,128579660,221917257,544474030,282443565,92252792,986956661,337155475,858532998,80484372,528893305,801294870,60291982,952617324,996827571,998796880,944318572,544525289,578532461,534988074,875565775,53838220,140211625,107183450,816591767,603876683,23032991,295109360,301241956,301107275,550180524,154912203,387673283,696800161,131789624,254069311,550567955,276436431,174419605,451616086,950905114,320452390,683127737,502708025,54655819,501388054,62097464,997857814,696144975,601832532,674328002,848908953,530998785,220440588,872179573,223939703,920777017,98883482,199656749,30792653,731069901,30580567,864687202,558637068,710655356,445225062,521512996,272215571,339211861,424528489,295805899,787292624,282381961,31005678,570001074,790144579,306735478,794192860,752403826,318150678,386197008,44299858,529050008,378611591,8127356,314513246,825567852,701950378,959176235,745827370,991532702,703676246,31449349,440613326,569650908,421253867,401404122,677135028,353940298,286282797,385144711,113314322,107693898,663756440,162887284,796379634,505838938,887422847,551430538,654300439,991944488,348259568,395360717,120445308,599324553,714793921,77976707,82491505,144466254,278543027,124850295,424510953,777841441,234539617,341744986,260977580,195489659,548757014,723300495,808871041,643772040,759943485,893363058,676270748,926949219,351295457,766188765,865150097,347551611,592112698,558051016,613151238,95014958,105832930,769922352,563460614,756803588,505083261,925562586,270967336,832275163,232597928,241968392,389513882,81294937,415376924,935884559,755640816,504224487,230526568,200155956,389380601,611716464,44801050,146401806,691000590,887692342,151711747,99583145,151089993,761019296,954702920,702524054,974558440,556367325,909849264,345500154,819320046,266417474,59530039,373581039,191485717,820612413,667427691,224616580,12840638,264796352,696256056,253655424,675863721,103722785,671047034,319653155,768223028,642636814,614637776,106856282,354474186,886530582,308449101,513516428,174577269,740770924,727773892,192088924,827403631,924325387,251267394,627566030,939882816,835337507,173526786,953499757,917390368,950240045,272723423,843924938,51552042,825388908,779707273,352288039,934433876,418755913,967180594,953770786,210859924,349186812,458179482,100305747,101547526,775531664,253793745,564356228,285230071,593983199,983301497,499052724,627185405,986198050,857412383,992512664,393174002,543514663,837798460,248081279,519176381,371406007,328927014,840728318,123081289,274976193,423840560,2225477,668820258,305842183,695351429,112293993,499483595,428203836,186037180,290944764,415356981,94398010,689781729,770573549,287419102,405682794,243540918,472328033,70035397,780358734,718273097,598779918,16043589,973632690,619250067,833240826,552237187,93137254,602291945,787007210,302663075,154667191,537908167,198757782,58587313,735833574,128224406,112673785,478561052,266070427,877026739,542489264,204227384,821471097,207778079,997498763,151231557,927081060,920473677,365094269,159532403,434861685,858054751,323886309,394434268,49901571,86001227,74483994,957369807,188220023,22459593,216251751,6658931,862942417,850172338,291662443,782326732,834271756,967533368,601019018,879880125,637821937,690373524,221616164,877063910,781008972,881229426,917225031,929404585,96064546,488648881,671720685,670741475,462408108,60817248,257836222,262358412,591677625,338222755,161975451,140110473,263721016,750588170,333791301,180150838,586775840,339779166,418113408,955375821,410677758,616030933,967511492,587070885,648306063,339107222,926805547,891284989,799854258,106780076,582094959,713936385,655903800,903964777,51968587,142320192,71501772,25805228,23056306,574052113,143440083,497745452,998843550,79828138,26412418,58230957,690619599,297032095,51729757,661753912,648827504,336390232,230257090,400036906,947862198,876258686,135133770,590618895,119987411,864626764,107612666,978515591,754766987,672225591,94639628,170910703,244342265,414447081,210003734,643354269,582992249,390505883,251252369,620310440,273701060,164898093,714983766,743954156,278750153,855718465,519085776,735107401,471562590,712753569,560107498,707971694,336113812,298157748,301584153,427069770,44953005,652364548,658951932,357659605,721413358,32108926,115618048,574373670,920897616,220954639,31942913,189336255,774069051,252050459,339989221,236572258,663541465,859364263,633690439,381782640,748898259,173726746,412451028,192222001,326106306,722802391,102167411,781395059,550993423,553777713,363608429,281876836,43467319,778748756,725914308,776129343,755860080,678279456,976874720,565872094,141999997,250519009,441586558,500983751,749803394,63556107,22738804,309858397,15358229,358981331,633657724,440726909,28431541,657422571,592330081,572637125,482291682,9360301,872346107,743341423,87379793,322839812,668409060,236584975,907718373,711291879,481224321,958172333,197220472,695947102,52791705,730262568,254185580,386864563,653577178,113670251,295759287,488828824,716955596,243210998,346501369,821076608,132757075,573747037,823473820,927897562,869547288,712990389,448900886,342956013,62946866,470700815,778713867,591184071,874254021,850048762,862801087,906022336,381745405,888489701,72579896,674193275,523047089,57562013,488742855,723796291,502818880,70231012,194873222,248436665,881011336,493388234,986871195,266001859,805574107,324129304,291286451,939365850,614937137,799592506,124645474,591165664,264480988,43946154,365319517,254900857,395105462,661158006,623284071,56606772,438868503,899964353,610261048,592220551,262264227,113867784,193973750,40568260,790754049,266615786,417989549,444677017,728938005,420210665,231476103,651387430,372132429,733363133,643252984,545154801,584039189,315191527,729476622,347283407,706782604,836868755,369557298,722335612,596740966,993239046,705077042,522757734,169234038,722358125,312995249,31523089,947857746,845743937,579326153,442766549,29389217,905422346,409334484,269631386,233631683,225724529,923951812,889956534,203715968,829383665,62973801,386543036,526031756,297744561,345911153,273523115,759380623,248452136,29734461,319129446,730199171,754935454,364320935,659271948,955157818,651552939,70070951,426377554,158188832,737182146,482712249,627256339,423009123,10595346,208226972,725354163,891720318,285833075,742188228,739170820,829286826,500004038,176466978,34633101,491439998,47563491,895379997,72325094,979727784,525918634,597037233,1253490,438491495,383927229,348915987,270213822,659637193,121572526,439308598,956950675,182997059,543564241,416640645,963245065,120805278,602403709,751118608,232868269,967076615,303760989,963744205,483762681,714566879,249844387,967301203,121533022,173534810,924948108,23115684,204503280,689877536,577238466,291860468,364110721,894053981,535662030,687738242,351387870,239733208,919563012,351181369,854385366,527299716,380170568,154063459,16250013,385313238,620445227,347477450,294600438,149666332,934544422,530343938,229559987,320684072,471431174,771536056,467021111,474014384,383660108,117813690,206262236,588464004,834122700,869784968,520256984,797257253,62929844,312485086,60133028,573082857,961228181,281469050,628843197,429330412,162744004,646175539,1119615,459335628,629751548,844476576,212719391,118526553,69086729,7888637,258349798,182878265,97088305,736633711,229899339,657544631,716401531,28103941,822945063,781537595,477796317,751840789,264327691,554124683,693636310,815951077,737246147,486654437,14564934,508572660,427849,93341145,109271727,191201461,964702303,596816148,443996292,136131341,487972056,91204483,265979813,502920362,810652210,478113065,810938198,951164190,967510479,788860727,650928434,79677902,545421232,181472052,14673997,914766164,13900403,224019226,67467365,60795978,518290825,717627223,975622168,950805529,800048952,781975241,435302116,920976938,222344303,92228384,357481763,763469708,551757242,529802867,127801267,873137987,57456621,439295858,861592037,584621490,558554354,817920676,681672740,453879759,305645955,891782738,216672678,942240725,705006341,99312050,266519177,186216016,564809469,736787018,509886679,869468409,267862731,365288612,940687816,190167702,803221656,294247907,816607721,360314708,816463969,242280715,103002439,647240311,723793354,708057443,918857346,872745297,737529797,213492298,401841981,197781877,18314148,561996337,596215117,269788807,915492200,629275831,438737245,641655389,129473076,547024393,289350393,284817603,480810091,344470024,967164418,155882593,240184933,463033732,792336817,672727114,741774492,936871003,799531606,577861735,988296746,569271364,107811251,706334064,700896456,856812505,483560612,741885122,842665023,805590109,680494655,190087409,22835001,408769441,785450835,655472403,157232143,424900489,1428815,883888354,232631142,163571550,827219382,805423309,400736232,471821397,678960641,14946273,297619210,753401614,696104761,973608492,618241016,916517496,246092140,986113339,449436269,796051684,523098985,650155079,968339192,397789538,747677460,360278724,232528717,859384884,780813321,284468717,59629660,272186618,47149208,86189919,489326197,142622130,528676838,889214301,124532962,73805032,268027056,564189199,643179526,346409773,704099365,703682192,883495791,638565274,506041885,904792883,950423991,25595872,296701822,160345722,799298124,820023780,64056660,523187286,839651709,635754596,377451821,933403465,124438534,647769566,894993535,255206134,509238907,801489120,502358555,893148781,340278576,253716224,884287930,430536841,56703288,134109891,611372364,606526574,514880499,281196454,39118238,496620646,73564383,2045781,845082077,267046152,366291041,277249272,644064829,648372340,24754877,422260005,72568596,830676766,673380800,448823683,340912770,336532722,35338522,842824103,901938081,509822792,579791271,709427380,868948900,997416744,380050961,789382894,537263910,281279593,519139875,356376464,47450668,802137427,584325278,391760856,631574623,163631814,111067538,395021283,839469472,826685366,875327254,221831810,173890589,569934909,492428303,108646901,776875922,972082680,162499885,307668300,67677843,785210953,13668041,946792292,654377006,232857064,601398917,574414818,48402038,634501201,278974905,811584033,182486049,280613626,474327105,695373979,410639160,71958394,697710470,361348190,65335366,444062089,283877944,458743115,771705543,889517223,730069642,221797191,825303326,391107255,806963926,449451927,56089637,909463275,651971216,353644255,94916656,714005232,364392261,547519371,983798782,483362481,199700172,359032329,550141309,975703808,666386277,737548896,584729075,574642655,860877794,429374975,173541631,214964176,935835921,722077452,718178829,359127597,515885040,296305929,751014390,114983681,896003398,347907595,395202565,624300244,475798849,172054989,405255293,534357038,146301815,817211577,796278904,62082228,532529227,437232494,153775651,531052977,897452785,477712354,240784643,470012081,910541507,567847581,118037769,22060264,699421501,712455587,993185775,402240159,857590714,307532047,853741297,381254894,88270740,407461014,94254701,701052201,123255635,325947910,732068367,126017248,556424519,645579305,377571373,774828982,328673431,355901675,268234906,854625516,304196401,116349503,870905463,473340326,636759474,850205857,787689375,874006619,782105927,758929485,904557879,539197176,80517907,600289406,366794950,516315995,350075455,59845417,325469171,507518298,295261308,186598941,348053987,706289713,808114633,317197685,493548718,644216752,979690156,135155851,290996686,245488300,75736133,196225048,588907915,63930052,294235470,296867975,545539171,839390727,48633409,538805545,454578993,708262224,666406987,581105933,952684106,915659543,837928462,866632693,148752556,877170998,185555570,187368999,691548607,844878054,841017640,63452495,793588850,545058075,302068802,174602921,424715309,722757680,591693806,209407808,740141027,652418247,21205979,195824769,442702605,872376274,77017008,323605836,631443149,623278404,227262090,43130591,913592143,217789247,279647811,938394328,527793598,595053355,724938793,217326614,403445015,25532656,592239841,927309624,570210233,826108064,722287683,324254064,317202445,131103538,896663107,590619181,98501759,435957877,407867899,785324371,826888191,373490561,928187274,65121529,768450279,662175583,972732993,689754817,733883467,572433702,999865442,457517042,408951853,997820839,818342470,198420266,50481007,102547840,81100718,201101185,776008358,827774931,94774976,537896954,361166401,645808838,972739634,529808788,584756322,93751597,337896177,35927701,843934946,534021463,782345690,268485641,312800497,956899137,595545090,378742831,150299769,604479316,6111559,242140679,986658238,857028141,470103712,521246039,1206572,170978346,692057147,450947426,911033537,445478876,394709266,532247027,280375281,820487896,105207321,937025196,927519840,830234939,788048149,875723770,99053303,978528135,850350575,691196852,900166361,360710102,268331617,516468232,238024446,723010707,717719779,800802601,385452281,892466786,796627760,462173604,469222129,596482971,815980398,448828491,374170018,579274025,585309314,529025641,21484839,754656326,598517323,765241878,668590316,150197314,847436458,347942147,474974548,882735152,536163114,869089128,767671456,803171036,421485242,59612141,538673456,964244387,93996827,222825415,665001341,798897502,663990172,650350901,53664039,516894341,257510729,247765140,589927162,503307224,534305866,951876540,315923406,492888505,410295720,561554848,797688707,837240079,168327000,107309626,22353151,786902000,898255547,296648999,560934694,694211945,96477912,3669769,473702283,356673289,957604259,799464580,836732947,835214815,718137918,19374895,635815665,555800761,597287525,899222272,189391537,475193476,616732875,37621319,121489398,867910102,20855178,142429321,745269930,621897377,650559613,463225670,950836285,578835712,535313730,307526338,47527675,3533005,632764154,893819029,66578746,770487183,47130177,120271116,938492701,483647907,956885313,383716011,941866472,192931995,787960595,923447369,382616089,861500718,281158144,661084841,349218552,188361441,75102744,324498333,846920045,28845621,224005854,958707590,912793218,785835703,725639442,184237717,774244317,548255498,693332044,628808591,959636655,958311127,939146175,708886525,513165677,313436627,494736671,526812940,678015008,460257599,836010513,154357106,625912439,421229738,55951323,573392089,57061417,389255502,686906384,498788030,814180755,252948531,939804987,752303815,53909635,775868636,830440088,232400900,338868567,676319977,282397759,521012445,152163299,506001548,607371717,378989209,432250053,36286821,769296018,504260135,543742730,129934092,367419982,789960940,229222175,42189780,456385978,504365754,624204216,714073216,536217608,671368979,547946196,323745992,985082505,912950206,258641034,507608191,646352877,58521971,283732034,212896505,71680601,24625836,809686630,843588491,483107929,775095540,482836543,315858264,164119128,258079306,842883635,52923925,746395361,993155668,907931041,238917278,943025427,681671456,596418830,743289852,809012756,24571235,631716840,764151947,433462061,880706492,357441226,413850113,138736616,500693300,697393163,821093756,626242223,787819966,381064479,509586938,228579830,821679743,730894938,555761402,770421453,716434546,918122412,334242765,401664382,623323548,465254441,162447404,932815885,965382344,891555791,255082036,375969108,950636069,983189641,378173311,52573390,650142418,982256994,443682143,247643659,679756860,410616901,68319351,107362669,523594593,388593708,708757452,373955785,969164217,72812237,249985093,87168275,401718756,475620170,189564414,19574942,56060636,557088232,123852003,101680522,512327747,470773045,804028110,905074534,817847144,78907144,287001307,523101522,596144520,940176675,451492945,729231384,168334691,378996733,697557519,897990902,57479189,980603873,830969557,56643110,653899069,973536564,65548762,687267076,999555960,140811332,96759756,990085874,536829929,530427414,301363726,550814368,211031293,514040843,668255735,464715234,914374478,568594562,547697425,142381245,664095624,542034533,599260227,208787039,430478178,1901043,957133817,619144063,667293697,152737069,558835375,998240327,20919229,278293823,941888758,849707178,547130287,12315257,564719416,5808845,346715048,589804000,831878458,11837854,989265559,356432357,247832014,763731429,617252076,115836420,608405494,647909382,119666521,103124803,374421701,503951735,59475368,972498929,468596447,90810908,55216537,362317252,156541955,373968315,559509132,765496655,903105387,165225030,446305479,448484195,990066521,923117455,153204165,129088537,470425245,434417803,624855229,303074898,511174627,305991001,733317651,234554084,43796977,973811833,26466208,611419446,111760345,893573557,806935792,948601341,47468969,554075070,181127368,470669046,64051768,921808246,263802239,994506385,793176606,18532048,817381537,16329382,448615304,680720897,45121596,318284576,584030794,399563773,291830076,312555357,713522538,408590852,225124363,854616821,981945637,309600402,606889734,5637693,18304272,168819764,66093062,170405242,992278358,687257285,695591104,224631768,741114099,934834771,444657592,265715821,163809508,268613978,232883504,425960621,880840291,414662471,544746236,971863892,468782179,923624547,87241799,859167687,374387972,405822268,482789304,877175890,528020272,95717776,515066666,5661940,728640439,754690237,92923743,539575692,310493127,814579501,124055270,315368293,864703032,629068724,380745558,365623199,5827209,427110588,241200957,540910306,116043043,269590632,749484381,376140340,978885863,417716400,828586745,425629647,464560992,562002956,91299940,805193554,497298607,39772937,552867122,290224033,210945804,550028335,81171184,728936463,754067963,437610537,590497958,223035169,45404270,148791411,394387547,143604048,86414520,815029160,667768656,616656901,208352710,711498025,770850644,54747174,762624405,676068853,341217678,701455687,624789989,811229164,554900350,267872379,553483722,893703499,136444788,732527786,859762273,618750479,841084963,893545502,90176780,973442234,178366420,256522328,893417992,216331323,305403837,932555406,803103063,932578986,541075978,781680725,38275944,803971252,866787178,380875875,32981102,105014563,931474280,417744106,188954433,903124332,455674192,498990554,394592099,66627341,6180776,980577504,278297854,988303797,403442988,806614674,225413154,929659053,595084761,522213835,253603207,120083210,690667857,101368480,968445519,116441793,638573728,413233316,121160630,425559558,732023072,208854584,517394750,727760999,218542663,45665071,641469519,915925611,23508259,897908457,687378138,696391798,628519267,278306633,707034941,598544185,467482528,273382676,213726009,226608443,510107210,491994627,29441924,295410470,305374166,595180995,641685156,644145150,699091218,940532453,766590666,895365139,518178338,23299416,106405403,571381207,582292521,380052160,856572264,322131608,819296652,849386644,904120492,442231527,663290319,783364802,334971974,916515126,880400578,420519342,354143891,825610063,96228593,782778425,36057410,807755811,612015380,168865563,538670235,75791290,34835301,278086492,458908914,780371304,226840985,509261940,747294759,895321485,893521884,199714389,776500141,180498837,575770756,455149403,99963456,305037795,600945257,740223827,362646136,331932108,892767685,944982135,621489854,456312081,938661908,808181523,302408532,53948291,918699047,705208452,118328474,584609922,3855995,659137873,767971462,303070052,170198304,943754754,819368007,988419637,57256373,740101435,145357089,355409283,507552156,932349910,731760110,921676800,137195679,936303874,625954583,968999469,790034376,957452455,313446667,590817412,852159993,699214507,224273411,109146919,801889664,495244906,134854579,268016249,707928762,819793825,475929011,863787009,130389973,209095520,871139387,459356463,994895502,284440683,86090192,814313986,98739619,862607429,409458903,865901953,779129574,829740389,184898970,565261835,522306288,103760875,800628288,448238440,37138864,23593016,190762927,15701713,464027619,455132617,604907393,970608805,61293634,53928008,431394516,310196710,933826028,467232135,667350424,335035604,515855097,697867277,54984315,391983482,328395586,251145225,863794634,97565404,971729905,763563013,354048014,757198833,765214887,885890351,648595090,690199291,107214863,163217862,529383258,811417026,819210766,659196905,369331536,108977903,349553862,790414061,396697274,363325450,327305319,559471324,871221532,477785782,354161149,990217719,348837620,309611724,862242079,397962406,142961948,244509781,624851695,996861382,875256683,545148143,225646399,740060257,353713758,640618767,260624143,754822791,98652192,694525354,121614204,11612764,870386523,86642858,832780632,304804871,357382015,794524990,969326746,516213812,607155279,182283448,318970225,939755489,874532114,999697860,997309426,472557058,443187259,713469498,425777103,95177149,998924688,626812254,397060259,919898708,521501046,129626112,156186722,574295788,250002624,340666707,749206106,495414499,78020226,772290034,787707334,653473077,797286807,251895784,770264888,855920456,710132820,500385234,629100460,265559566,972580306,933347892,606484099,45443317,85089213,892085992,884950211,24938107,993149547,556390451,325459652,801558409,178116387,565294918,454566099,814792580,315151493,783637850,396020517,773893710,239568126,235693699,442755467,240987976,468477054,994358940,235162395,976184102,632357929,519509068,435334498,873652813,728316272,855715466,928639210,427797531,73789579,659752264,49023225,164149389,176635802,154364457,825568255,809479909,149718931,320071960,855633415,210674953,484127433,805383942,233877307,448852045,733049424,187782139,356271770,565597010,876775324,907545382,90001322,667967532,475011002,806197273,338646026,608724463,987540658,42466771,553000296,72381452,737305182,332861429,160462848,847383672,576302693,47861800,162601912,322811093,215950220,65428160,752861773,682082974,710425236,602859585,438822725,393232565,682956926,747500370,994673642,617979877,271339811,247224764,752096724,876430953,11899254,465454672,866059624,968398668,579665242,27146612,749763940,865545682,711405086,450848881,579977880,487633244,106813059,697545030,518372418,911343857,757714474,250814709,950415578,310473690,651018128,673967075,742411343,628973523,898336676,612025879,719256045,656208550,916494597,854256865,372208696,612403430,349840234,881576298,110930348,89378906,38080217,619104723,152243846,824406728,673649884,654093757,883207414,183072448,493003196,122022724,641997183,134169783,734773893,926013012,351364105,731673433,279192243,148658601,545178716,427747991,906492413,977043108,356972133,107563071,261037535,359183435,591148574,345368609,820043677,931106836,872035820,102484111,581070439,643260451,126106997,879966982,811595632,256410725,90947920,750895360,77322771,638969439,841730416,163294853,956912894,587097955,116166183,8845222,440387449,803739267,676661658,237026484,482237103,593147314,721400219,729100504,141805034,91438899,412904983,928556719,504019727,408586119,369980598,679073549,617381323,725530303,424363395,428562168,820393061,739888336,35670799,602047458,319945731,449257369,462481716,497233695,41456287,723103253,135241060,165572223,773659773,934536318,949499478,567455091,927169223,285706177,607604309,369397231,197192979,95065252,427894496,933402591,99439073,622663082,265423967,738336812,713870421,770580313,164850171,227809813,59684670,965559985,62469515,833373235,591870749,460458609,948232831,445681207,364622836,966319561,925440557,592067802,310096430,812746709,533933634,308459228,431276641,170159199,148512880,590766228,903525579,981163176,899634160,583807110,842685873,563290202,444401100,872117754,524134995,204376238,560771833,956956078,534218966,437867466,191144989,736283146,541608636,424814238,460842328,728795300,902746668,360152615,120264116,386646222,64865594,252625082,779729158,887621412,646379539,195156464,570302675,614773064,580517378,120330820,228415631,168082007,403320616,944311666,496559196,810202606,744561256,204373272,237210500,297606078,240111274,274250,268460726,546111470,556372357,427031701,764565458,630182628,573463013,839694916,533925831,138355152,97742583,786035307,869666321,90990689,619823506,561301354,716913445,483539151,305094395,645209915,632477715,733031609,725623304,528253606,813830704,16768231,522858685,381749510,97177616,924251166,773983254,429403313,588027334,713054238,503776138,209445811,593460990,248284608,351372515,383774208,244384301,799863342,29943714,74552905,442262534,59691909,487342671,368484759,980432440,306936262,166047338,770029420,244363679,805007873,674466862,727761333,766449047,507831964,274375128,640245116,980616243,465923433,777151878,655725993,655471391,437059324,230382405,61325531,466983513,955440324,661701336,712604877,442908169,940248174,568802928,439746442,791693494,676169829,276783621,715847073,893666447,737403414,313460699,555075596,69913114,616707631,501219349,807284493,355431425,904562860,814317461,639973534,798508943,889541065,95241704,17294787,908332215,235138517,221730952,720249237,122031642,652243151,909065723,208847459,75316948,551095230,326971053,973445060,11420993,664214616,779976382,675577048,900308200,420837649,319648840,125576596,998699406,9798110,244589798,358273953,116893548,673021657,462822565,87016896,342194587,602890161,682388546,769619208,95230424,394778262,111849353,202211103,769467527,310554035,565768153,520405489,185143915,403350515,411310737,38190128,219194604,487625023,247453768,684373216,318016633,610994322,664290343,859866901,351328936,196507651,189360664,953111028,149776873,217424809,775799505,210286088,875544883,469213261,82973865,623156242,841984025,992049850,348107512,306443657,623812872,10623407,779260107,325434507,663258218,284015252,549239098,560984020,654938147,899382267,888436538,19305141,74940696,148363523,807447417,973558635,476532136,865487040,272407631,655630501,52061733,795625494,513146800,374959316,810153941,975591313,480182889,898378300,166782095,148644558,974607307,323486395,854429988,190236779,599218310,893598001,845383157,214414484,445990978,382139423,806863152,495051380,884115121,407334821,766286808,405103311,411703362,370973434,611024242,33210016,496927953,593192723,933782305,893206985,870062899,34228923,335732358,267334020,829588831,366730218,499012303,828413860,389631637,855865996,441944288,694260849,9180457,133293314,530796362,994451356,811035272,87596036,228239287,66121526,76999727,975853232,661592784,7157673,754303622,642612073,857950145,158426810,171571850,66366491,361225197,729127412,194358394,348624339,47520307,394691079,580799653,812312702,175124540,950829891,826579517,359195428,730778419,108575628,427459159,111268217,483725758,265700593,630927720,58191940,364551355,374740417,261047376,516868920,302031156,975663522,528730608,964206454,698225241,53863366,28561846,127681440,321266752,192787526,358300595,904984245,463892416,639329024,174737038,84936967,389410408,580238546,26479574,451503345,315852356,514982652,334695497,470942614,771942501,693428024,577652741,453932381,876546717,223202380,211300658,587177273,26273627,945425172,323120808,49182317,673038725,662343241,58758502,468497766,404767326,975931226,789879238,937961440,433052760,227779378,854779405,945841174,885989513,268143286,254945316,856766229,689107275,433854672,69822338,602346551,230945224,618184599,832598984,451112799,424790354,487632330,582629664,952196338,197506451,131475977,993122146,625633681,68373577,846339868,756508912,297098605,220073018,276928389,107184998,969172180,202769283,170878744,140103125,64413140,719202931,283927707,976564097,559368709,215549418,892477546,240986347,826672270,726825377,526767845,426055934,914350974,33342675,991080260,80139223,212122515,539480169,211517330,649681681,673933201,804130678,538082172,719925797,240423191,659825404,183897574,662232042,504064396,587381503,743541302,981660877,363267644,78876861,369112785,337625744,804111731,561043876,581497287,699330723,595662853,291864412,430704250,775023669,744870078,992671369,813968163,293509551,878280305,880513372,647872909,573117395,395240038,766261535,961532976,941591900,401203607,712549829,249369013,873792874,801483222,329398569,65174936,659771060,692707195,846411902,312976913,224085188,505354458,701948221,742026269,432627585,577936443,463347295,961595081,637712385,595582740,195291006,124569602,626435158,950685648,725371946,502356972,227215932,282530161,613603139,830382434,945729511,856444413,159320705,651969654,962061199,403645629,476790246,348714860,719965958,762314695,498534288,110256931,801717234,255055712,461639814,226102296,179450993,55316122,557999971,933291484,356779828,450488582,180199575,166409116,703691314,787965127,573472191,991889950,710490872,261889876,203158524,723839812,393684365,76843307,877287641,530174659,921573337,771784570,357938435,270958405,832015711,697545459,955252552,657570840,275434815,884994725,609012138,689543558,245758129,702420967,837070213,362055582,14159338,734897836,662102462,33082345,811971998,793587768,984595443,841202834,810316703,100859587,393351803,128488539,635757568,494933873,661214914,634600896,581836243,687121779,281685145,551289616,892917001,973541694,609710351,263849791,663630335,321850502,517992051,755626652,176453367,850323963,145827465,777307227,727876468,856642971,73181940,551625965,827294043,264471380,929238631,404367107,607926156,718043112,290001864,330278560,533562017,154162929,4110593,6018653,383713095,989679532,47469540,862771313,969167162,620068356,830536761,936047463,943659483,954566180,566788898,334322320,227302308,814518089,211631757,892691351,321579696,891497258,986059241,73004084,375225753,665495412,41523120,560564313,61311013,397725207,876194170,192604656,296519260,602629913,460759326,241280322,134692821,575624863,382686863,626687363,65052012,211056330,746314798,672057706,172250570,667873757,190050810,394971825,33908734,228474483,364899295,888880283,603979224,908489409,709707775,361674213,918789844,475457209,458233649,141163886,141369088,50798026,63900555,463178127,476389833,362003658,275724540,327453508,632456207,170221614,287395486,17817613,628356326,394643194,645648841,31312362,127783830,502361927,256149444,62089184,871693780,169421995,207668740,700306959,734222937,797251613,213076186,863501582,350855761,38421872,510736669,817707483,381277079,872128627,65206971,161189445,15431851,498573302,358857210,323228059,669487198,682032776,858634776,392272879,501685419,986109947,374558482,804011978,269230248,962692090,45842300,141551052,871764785,652398618,32393840,634371060,349374746,147060487,453166990,762703224,824393718,776318219,648417761,988554891,939775431,361529110,933740706,289373728,227234039,536528355,41339786,764442127,233604481,257266699,381149365,729158449,522486578,546019307,146287852,930694116,90008755,424330431,487445174,572648134,962840614,494019937,321825151,355020886,138633544,275109357,436280664,592915588,939632589,912578005,442127724,72526311,411577835,395949900,529004299,447942720,885525703,937358782,718151020,9208171,274479847,439889477,538973743,949210202,94432148,156071740,942306036,759100257,591148742,230735595,278776122,725413435,409225743,476050567,658824088,442298973,816794040,743565699,919839227,788376774,103745504,318415091,749420093,275600838,369300363,163374543,643770620,907192686,78989546,41118799,874561775,48435351,213572892,780166819,363991396,144137356,248528083,236491112,356743157,845660075,991256474,318146952,96593683,103060001,942914845,123067998,597920777,769162210,838221314,104016786,835219687,350548880,207584677,964063259,481716124,261928649,622664897,291628851,4070510,126696335,667869101,23733622,298421648,993439682,888172374,806469111,112276310,750306965,763977681,700701189,775420167,568977404,725713149,334700146,294821454,740134296,12467748,527484894,299892101,34453278,922337396,551417214,474082976,894650308,629637355,527301238,51987057,634869252,119642258,538143231,396625006,479612167,284813651,308045758,760574246,321851894,69874748,981626676,241441187,395157513,123725985,456561299,819607006,488597475,963084577,626599924,416875721,920503144,806638202,44185495,694641742,426040986,576822688,587890609,874085990,245492986,990588699,902324428,478166465,630163117,652322655,691774702,726041102,997210045,887434515,925781915,395284642,467986985,653984645,160684134,115042867,984616555,224037035,235668566,604594754,301123944,109995806,803007829,476109644,960607613,641402975,496486832,636084305,234102648,883875240,156582557,757602118,712936604,101899289,898613904,57455409,398264593,194457379,3075162,81109220,89948470,32539664,603742698,677356359,542612475,698202203,319679279,32178710,124184170,556471759,415989399,134821426,654456179,81524781,472360352,641340755,337575578,303948539,227446907,313849217,659440278,712740755,156592784,706675632,652694438,451049965,560523017,656146355,601360187,420886154,411525674,283151623,118145294,325909968,168681856,344136304,777063399,19395518,942487837,222120838,148330985,1537594,990387959,874543287,118046944,603772537,483090057,922081316,130916018,703568136,941237073,720371686,425033383,111652452,768436390,225904196,262856765,270263702,933939341,63977023,678541383,493201842,65591572,622650188,626153602,485340516,768268355,842940195,286532127,847767297,679552179,615095193,108427237,131794833,424098449,102032942,178461411,398451121,250970009,157981278,890426906,530615092,778917995,976838595,32801313,87015558,524272063,468666664,629438017,360710690,484051057,589142096,621550759,746941543,65226776,699283267,845541591,232467648,340703355,485821337,966641417,617579938,911785189,668269633,601857977,587109096,157208720,727643271,376030472,850263867,759904130,781907744,656734045,43406179,543601073,874228208,83335087,857667271,634595907,755801743,991328532,770772534,51335257,67987993,569243021,405090906,811952624,465160579,313196346,40954909,267349697,854908705,84213508,549029513,593732381,887617779,318010086,868207622,546019321,804252734,839408917,764936156,366013232,642739538,206744394,779517242,196445227,935776326,596600096,113749095,449377795,821590621,234282385,155750006,3210504,931484805,265654853,488383667,408803783,183277731,66120858,441697997,716228403,912055686,953478742,770747172,618371798,543004634,216042791,536738115,292180719,181669924,147336032,761055082,708788867,701926947,604166552,605781890,305262933,830270420,840949796,468953786,305079982,211407008,183837544,558340987,244744720,673333037,32073969,253008061,153676706,50024921,868109893,687985138,800445637,235856596,843153286,954207371,372855950,197660071,17138960,378403391,714168818,721730386,860169708,909692379,312884099,699313230,523406877,224698123,522394758,805721804,399535228,79351898,793558593,317956623,469377347,915767636,322265569,113567841,882165768,375418991,375787698,406264355,754374381,65736069,513294537,13915602,311895837,174364363,551314634,230115406,17509191,731640718,184750965,240936982,608459212,759556139,386427072,939941306,1084596,944622295,888105818,683429213,467941196,167555162,800811412,943520634,685245164,365344722,625947429,590033489,288294686,426303363,760000717,686610972,983654797,30223327,172279920,963468190,988195975,930101545,447318843,107940831,279717184,768256643,359825952,124638361,313620877,715856057,918988234,558561981,989231476,21003731,747581316,476059631,513294160,366960105,522654444,92677193,306088597,841367108,139531625,787389549,799651660,550269972,88698557,593197782,232982813,689678434,986844354,761831103,126982039,33465291,460509975,368177552,937219458,235033911,720237139,825279117,190825576,233886638,71204959,332110214,589417586,245733294,898966545,434155050,894429496,585259268,316509982,178786252,624388191,660786840,767113303,764543690,788631982,167750499,742082530,531415963,213174695,616996716,334574013,580504278,199717139,850009152,841537564,196654876,80266104,116741407,667361367,981984716,976840858,460754639,937996385,838440728,214294784,879479458,809817791,445464182,150596300,823856223,448103373,773219400,974944955,502792891,352686926,525624070,619956052,473238333,253580407,687413772,818788556,56760352,209812276,33792159,333566025,39078170,898679936,291796560,888947360,329867394,755413328,47219272,658943141,237915059,615934050,503022788,956240610,80616816,962431806,19549209,460822167,319645836,362350400,710827991,86264545,674413469,295518697,651762883,910589985,605286588,973310188,449044243,519204052,622339434,655855127,568395026,972546951,917275994,740527326,263374100,520628329,184557159,258614287,816946929,447570458,508861,275081474,291974591,730087353,851185258,710364590,311354896,631130942,961147529,82739541,961145646,984697287,718206659,21764960,54510538,24519650,721515678,958759189,957430601,746631037,609729141,93658442,360745944,987356916,292121280,497821393,824333194,74286612,313399709,917396775,295822238,607511685,889658547,549139919,708774626,362549790,973150238,292092011,947383079,852676077,160314994,865491006,671889161,489158857,605942765,108322917,18795017,317117032,428474051,339761377,691469075,396274082,309970246,513596893,857381369,901433946,176869187,441183761,209526799,786822940,859679505,651239734,790121296,509212792,438472130,174189969,903043816,270602641,354054956,284536458,429755216,876290380,206661418,866409550,64084268,986880876,953794047,189532375,542905201,646572213,427516189,25482982,883203732,764534192,347676473,562783816,845541065,196815944,588370287,185936183,348688018,34943815,165931412,89741939,76699180,864208276,2404070,332217312,945088076,878169220,524468853,587817646,972565213,426902669,25971855,413641425,560821069,822281268,44567671,153763262,356458470,690319201,415999535,881209647,48305157,975762445,920708188,905282401,577243441,201592697,684366277,904052808,896596240,354975142,131960987,893244763,83723961,342350361,196034410,112495163,948597001,278089646,105570022,649957672,481107234,977707439,895273007,818563848,509038466,359768011,63504892,372846840,527375253,707243422,689616871,102383695,698207106,123651426,948438160,535497711,131534098,16658316,403169530,643566501,161522635,183850167,352800487,947019580,299185716,405296286,867141854,350771533,870507931,27009692,973925489,309578891,494835714,298561821,160872588,6862296,113446258,152857019,956147144,989695262,336468124,892508321,174059518,262175966,662392475,20747370,397147732,178690478,431528937,374329264,963338409,573516642,352864060,483298332,401691709,442975669,461591058,887727334,185041345,661306440,863201774,246063444,329089016,786956189,117517976,961495315,286759501,419145665,913321646,204035774,19380998,565439199,490761667,856236244,13195176,599609243,441845076,611677230,933405833,381525746,822746530,194403901,667143271,793103110,468159389,277666996,997633658,419910676,546587783,340123275,88942993,911635474,306830386,597275106,216726959,639616019,892079684,388053367,729962713,147117206,716948108,589977770,55940031,200666733,748524309,443198776,347528534,407249340,499066939,172348639,457514235,962178581,470101229,198321865,922990170,624953146,552401725,524837661,864305256,282422892,255562397,414153710,721844924,246288528,129984255,588884486,679412175,246368085,653829215,842883845,120580762,178617481,861788961,251478023,449666290,580073675,700044777,938011894,163991800,592823833,71376831,704025309,695426386,391098840,807107018,577911888,50383105,88784452,494774456,520254808,25103493,562961574,69353142,469096372,718612190,512938717,675473213,221263375,800602198,347838878,635033361,310918017,396346634,165230804,310983013,549187643,417158682,202973967,13352410,858661706,651956804,217227360,416323479,942154520,79712880,405875331,456145960,143486723,289391373,381298204,902258301,288874258,148340326,688795004,325162635,640047735,156613373,197560165,737694642,436223750,33628984,734415543,189299067,728080996,391513459,361945171,351827650,222919459,139184834,586243457,986168753,531487947,644321099,432079745,868371871,279178176,39005609,70001961,478138480,342461408,873352067,252095936,231398461,341674849,826221847,22720563,539680857,883796549,115691161,916712734,790238066,460243813,171187443,932370625,183196236,677091601,595281894,647352007,469898729,970737815,574693367,596676918,593589709,490349561,349443365,305312163,548364821,103120937,868984703,125904814,661716466,559368625,40960031,479119670,496828400,597814141,41281820,770235948,742927443,846757222,37518979,339517917,389103789,442350892,645847346,534448774,747233460,177065154,72186333,548098688,854027439,425984264,542699688,602164789,110406150,48678539,991060483,738079760,556553247,124463927,6024661,354933786,168241782,705693286,965254357,864471863,65635684,865820111,102583220,230197041,977914964,694617178,407424471,9918295,773169689,189595968,947766535,574952795,898693372,512832757,130715656,269481036,199067150,86794194,758819874,786516855,434603480,813137386,603134710,184066083,154548272,332658552,781428919,98298478,387036520,124746509,705276545,251671563,93305257,96479509,388404506,508915714,543479223,192878197,618531230,636837678,812512015,708963024,656659626,236414500,883671081,253852993,741945285,905822784,418918585,883790402,794789015,278860852,258177663,111724771,294270156,70041412,979531849,692908281,322837068,659929806,477939119,668735400,893669091,53667357,640574557,114428629,247205984,564261738,325492575,184244529,616829362,799041771,598895557,543350205,7308893,874277818,518837647,539298296,118357996,272239214,75005465,51690737,129643894,479833642,809478979,7275918,648278177,453347504,736870103,818284380,828669043,955200610,847389936,664743906,309029792,483925235,975891916,267380949,775640858,836256493,663624264,305412531,112949625,928585716,339686382,766743636,997271816,424953165,207370178,447236056,479228237,605803283,883591327,994592584,473559264,691825390,59026281,917978763,46972958,425183058,16064290,1839961,303342030,656684479,609323398,433475501,985528226,101388875,136302585,591960578,91508745,184542045,809719350,22428967,902867101,638182620,626640464,793625058,446718846,318363922,420538361,642814064,409262984,383302368,115376576,474868455,705817310,670369963,542155010,430439664,625850429,111647532,313083692,283134903,126900746,467748257,394877761,552775839,915791764,613204921,870150479,214240138,709655150,442856918,170094840,773014055,562719901,509492555,907295643,714342542,767339475,707888996,460529712,474737587,74092315,187948792,195903948,298823132,14508169,516251583,640486235,510535706,341073976,110725252,244465724,720416993,123562227,560385561,984851360,227622481,295240153,7468945,158115048,100392990,161449362,752302130,796605070,463713576,313737765,266787460,55065998,884326617,371613208,790683251,245621505,540302462,493947350,146045611,953972417,850269168,921316959,782715586,51088433,814291941,191519440,766857391,303594649,418905653,117909535,600535368,638574670,860152644,722121204,531142523,624268601,519013605,264059325,182407573,693056269,80285468,1737389,546519070,567843451,780277723,661325243,888114650,901522208,804051424,631855074,781359457,253006678,207782284,864062314,130778504,328706482,914627015,582085819,412437047,31803047,534517838,414404348,908511268,456893249,428728872,898523343,475679013,204427484,81104282,478073801,354447944,123137613,638177091,169491720,708992949,905194707,990966759,342395463,245669038,863598950,100180736,713872336,767981252,892657132,894825963,411924550,318553443,950671381,468979341,479178882,247198005,849653041,315640554,34744104,714259221,333482891,553377415,884112971,337904252,293232602,744339277,501599334,662827172,818971329,518464449,423765060,987164669,897329830,67655249,148540893,995094076,113235355,628859291,384527180,327414052,574277638,28594680,836820066,689745064,243695296,512265434,582224239,687971437,328485529,375441535,235441884,784336109,469845337,58623229,626581982,334261131,808435983,340514423,379174361,457007090,210508262,782012683,665538916,228001136,596333185,833707316,798250577,567287628,713686503,208167258,717156530,754127471,216674800,104769787,270623803,277991236,702484016,674518682,687690477,47069009,37700967,170492248,416735805,143321016,223895772,566505207,325457559,157264779,317052570,73555058,410542354,385035658,118598331,806283812,524884184,828194775,854201696,285840435,904903100,798593583,314427535,202681467,584537486,365523295,691178343,783458235,14843163,198180313,133694499,210156545,606632511,511482713,354103696,757610402,637722934,272726227,572900790,577424048,280206110,12667742,338940814,952852312,720219729,332788617,756336225,447831344,221190641,677641290,944481419,520405083,795825933,410999079,838950675,959402275,81423067,719029437,633838321,4521204,300943182,17618854,724417773,321728094,984024927,549965505,874924742,730380516,487740261,895489037,652340342,763627725,791749494,807605999,982457621,923625209,338731152,163598470,255261741,981964233,641446452,94909572,954499064,299765046,214914337,542674416,852513444,774861600,285425989,706220092,332591414,839715503,79697283,976689450,667728307,498686398,139248714,785642933,665052546,79560628,562634815,646971828,398229790,822233847,11929900,186400922,977413936,300020367,382923752,988735401,694893501,301107569,783187651,874905424,568540401,760001784,8785451,247690337,318191557,832311629,106458031,938522382,380296744,306935624,950005363,254457520,507775044,329123753,474489568,48507364,76969129,310096794,231206787,282709700,83248443,890306236,152379635,509694217,817590825,568249284,639754916,551779849,951442277,171415781,161547905,53227824,792386849,625639347,757487106,68501529,233007063,173496805,332316700,256668051,456142286,759686747,239271298,675190306,974213838,33277217,646293016,51864530,94745922,164680829,103691299,96208557,595719825,642168996,781423156,629312853,812223087,449391773,299335997,740367772,409546146,363028912,405152424,82331860,636765150,229979207,620271031,18047966,164224670,994080285,41890240,69086165,456483257,331292189,373352562,379986524,826974395,268034908,796122517,520859133,887555405,230634955,443623324,72530821,727627208,289469128,192992419,659499429,624541158,567719784,175198602,501873077,223098318,913787484,662681588,205985144,855554851,32179380,249011372,681976873,354440247,204862596,374048620,490138974,735991251,806215965,970813983,451408610,629653976,505911277,670980493,962313273,983426225,589965559,512085283,179513847,970789895,974407036,871878168,519407270,213787136,435312911,957130814,714462968,367972902,149862953,308663127,751112190,390748270,359604398,363849558,540688939,662202220,321865674,474169642,246018538,123637757,818303253,94831753,909951539,832017920,665494128,518637182,146436693,332069927,764619268,51886526,984183835,213930736,96984077,484826595,950144369,872228620,122262411,382061242,593413693,598899431,793829838,388105672,741172425,127383832,879865239,308593665,601092758,901350943,537798849,316224106,214628154,977268237,56953881,356325375,866389599,416820206,421884148,461199847,474122134,464732399,555846098,26205593,650281206,861326745,905219735,131306342,272711562,461668834,595131428,740174807,149604134,203582280,550924548,617780248,346973069,52961673,363304543,960584750,715409895,377268815,243432524,910002725,478143441,145064986,218402664,160144795,654899205,765880285,563593153,246764202,977761044,412249894,853998093,922459685,603405022,473836407,976134853,575300962,656718439,207732642,278964651,207172482,888351815,92774363,742391977,112911605,442788662,986755823,856015925,328161999,108748489,265852700,52714856,440570772,354597167,567283979,557799111,375549545,678821530,82422050,745534640,758177795,579039645,722894917,88168681,353492563,356037330,875286433,572494411,625028197,24519520,32527634,112322867,24377161,923539512,352967150,319343328,218630822,444908343,24466634,12872474,531895132,142281605,709484004,218268872,88729105,114835213,859412747,723170776,265596085,192651435,662182362,123220569,803241393,162651859,524022653,948733864,439430586,770455835,833151389,488002927,570939124,105028205,937333404,970239795,818411408,980843148,82076745,655012473,124006612,619341464,148179593,733386522,295941216,339738243,616749417,995095161,474285884,599799109,537285966,5674616,315254972,833300256,986417228,821498707,873106118,501076512,254134857,788570978,567023142,812418445,134254381,11306201,884074756,736647957,977428484,260979275,133574657,979267192,961153790,299940782,946333588,360463820,164103371,151769583,855780972,216995231,892099773,615799476,769764290,361163841,396482055,64155010,271258829,291877754,604401366,527642014,966904110,45135663,47079232,66521675,392294054,408670114,955340396,217764416,832048501,315708653,215601094,623923404,72203508,74424259,538785543,8663837,288694100,371031602,271905879,177311256,317496554,602747755,356192056,999788827,513118911,901673364,426288494,626642654,311795627,871488221,307250822,340508432,483905311,307001793,570868533,26331559,777105696,69909183,783193663,4000291,720282550,52663335,849294804,678107324,687435018,763603679,543100949,430095749,531853263,307852485,752942231,875694728,963506531,165332675,600713028,379539258,412393491,406957906,70939284,889088099,752134401,257817634,232847111,436105026,776847771,744770924,769578186,71887705,303494083,992142101,360344634,339887545,429371150,45515921,710858848,962091466,552142829,535274495,914949069,76326728,27382066,992076983,343851264,853878887,167356651,231402540,225117688,875682285,830417784,417554547,749098485,179828024,237503278,595608227,802931343,960180196,955041070,431707585,124615021,526166462,3341267,233955711,533291858,376385527,880052435,607441080,182966682,318276024,450796394,502364727,58938279,675688443,95535238,94718393,635902325,276742404,198387753,160582077,815072989,795188138,127027051,654435886,681393657,389609796,976420598,391413211,596045079,378748674,766200807,664143348,82654450,712949680,331931774,823969389,490460618,857970130,764204150,798359448,550268754,341089622,513432899,238590008,547465205,642712352,273529,985062952,934294839,351238064,150900952,244739175,306328911,178232013,744870262,314938808,306433119,157621755,294349341,450207990,803486604,17903521,487786152,357763808,688313820,388139770,216308853,616750365,982506404,222793233,956283320,154858886,231081209,449800229,620738046,118373372,806262433,264656499,239424267,998118673,492699830,48766658,142141266,464880063,533754916,956447145,750410809,61592775,110237239,299544244,871566244,550376516,122946793,837379588,392224096,789122814,436405968,7143430,275116115,360398980,272814024,597827958,952703570,716780835,661687126,581171204,220754211,558837649,433336814,900453224,288576977,954478224,228278495,75631727,77339749,935587771,51404384,918885028,8108475,862734306,176693037,621628979,556957848,852560884,874412746,95337731,496267315,529123285,117632351,970423716,682018439,948442434,629373135,688394323,534681603,947487052,928097063,320477208,135847495,882651011,107351286,233190436,151531331,606316850,559986692,588637630,930445900,534166368,747650018,499622913,662347792,460071957,400123062,962364885,667399069,928008246,90893442,293304471,438232580,10117799,628768338,133923333,934271246,182546504,806582111,232922673,330062332,688783102,448905010,42538542,279512099,432379341,270251259,952857288,154181517,873674553,500620960,467218138,995042728,107750979,515722934,346174346,779946430,833449361,594470199,784254466,595280071,651535659,821466995,77600910,387885271,908194951,100116453,914654756,588393299,131603507,147337900,633931297,473286328,715821694,636911893,413556217,393208143,303910982,195748121,155069852,520849828,551121447,38393454,505356437,182901490,142353067,802113852,459445111,253961999,365035644,277418366,464723584,494713494,676866901,776909006,923206193,899029608,508402507,717140547,292875250,209600315,52862936,41350067,501618274,474191713,655846053,724994345,833582004,155905573,277189735,976198278,377219535,734863494,212375756,860970572,37055864,577310743,492894920,366296747,30668241,449621236,428440838,401419206,481631646,425840886,945393505,850806536,967941893,922219013,37168747,967095169,682825279,33634887,607641989,485258787,179742935,354821384,360105444,455011818,968739812,99263363,73904606,925979781,849915628,103765459,171099714,831011792,108121515,356607712,491736069,855901244,778508202,153456390,140649779,597343258,296524403,545755799,391244037,500401561,244383636,903192182,910600366,527355627,656610707,274938347,641178184,327495212,975361050,156387646,940989615,287656975,144118176,829558885,346967708,677306382,751630059,889494249,343429418,136331635,582603196,758157453,583229983,360367433,758601460,469573870,10167408,422506365,104757020,794446268,544777325,779624273,451987742,753809324,797907294,580802485,848366827,485502287,507273975,319208931,231742457,830483190,455117382,861888325,98349212,50106314,587815285,587950685,485025927,894158900,808864345,279953044,38047190,417741773,262728592,836760734,367211265,838822391,408064560,973983252,900240155,365485651,632285314,602100491,198472204,340046646,730302950,159920059,540047837,236723552,465029703,412573032,527187841,985246501,168524348,195798237,705544668,684571212,792596451,743910198,413020186,418387865,580255666,59437982,82068165,829979501,947644459,203809926,118772326,575352833,118334362,408188815,37072805,253578569,272912291,377039962,880587369,426442129,482764823,524412568,431509526,962578701,905505021,240279959,14659523,904218653,900877879,838285584,435923024,486296614,869020704,316000588,331908377,20217469,98876626,141466250,975573779,105347048,482264665,33990321,723273598,411491504,146787578,868425947,57482667,735792496,948321622,42620594,58225935,488275893,148233138,703915410,482148489,41510851,236307056,469523886,721717406,453143751,795717820,669826256,438908863,81347266,514107720,413916730,459249818,903244875,933321714,439366813,64654852,152357132,347299586,758383737,634368986,572705896,861386064,213503949,787075935,393554326,781890798,580310749,148796190,201394643,233067502,766153164,56355506,518442151,768972020,589759038,923440187,221820669,365872712,542966254,624404284,774889110,601095189,226301356,9142249,583744436,652302562,335273088,634969744,550458686,577309446,297124893,910017728,403414254,308352826,564110301,599395876,306087690,20258045,852076074,570751314,321625739,68665361,653713490,936361915,323142693,51290479,485160563,951185255,434922411,409629921,582325749,530156803,585906733,851723745,536746066,922612799,118210625,957248213,342452559,602667871,284557240,385133705,913771796,551692407,747708878,218798798,52470422,453474531,63446709,63411891,63685281,245466989,992241973,166089120,880597866,408588910,847676353,671992541,511918808,711813433,522939506,191787067,878163519,610788407,166874307,140259662,204313941,28106585,294509991,429650063,76043058,252960694,819975738,697680603,611722454,467096332,751678042,859642611,822480776,430952964,521732527,72544686,201960166,340054889,158564617,505283454,184214811,733356253,686612085,54292760,403899871,941831863,953288290,962719879,631529545,403768198,810638560,361049370,429128791,275338804,273372069,140809006,413728739,177544468,34951266,420293984,659025438,326848194,333934333,347069743,521967829,398189093,280311412,788234106,654787289,444373203,506032060,185725937,385927182,334015967,52615733,583101600,194972567,467819286,253677809,593003482,433197103,786376470,192860968,15394493,501509732,38375084,484910089,724630254,975556971,396112407,470554190,80202950,970335563,202129477,499417644,815536070,100190760,999742470,73751243,37398270,779683748,988972673,143892235,910054003,46992249,180481957,204073553,566849535,206534481,468778549,124188126,897018429,337822105,864112480,827027776,47597832,756124654,702943727,506896748,507053319,486562691,198534995,204602446,846906669,420901797,724916454,799691195,202181331,207261422,329660989,646997645,811665255,320058791,104619375,800279638,268261853,107071772,215128380,361289557,472243927,803585948,660675810,931541977,401764522,565372626,661383953,755492234,897696113,715217554,245902933,188340719,765048833,732200806,739958923,636193986,787198757,95524746,796852803,910663558,760326891,584221822,945184772,93362258,14005747,189293526,692397039,714674870,89556867,263533101,215481576,358593109,354499204,636457853,901593886,27120570,11142581,739175479,191863411,803562038,629344959,166921326,479969626,814221235,327286230,157144197,83527609,110318190,120253910,179014128,213401456,66327246,787401906,65619567,234655400,481120798,732398136,161882911,516072273,832643132,724787412,339511614,410195345,887006303,173538822,832961986,730085639,905757342,21173715,992312638,690835792,882165427,293677541,347595247,299457711,783195558,667930662,679021537,180527831,745976359,824142787,247970738,372157247,773783145,23422384,311467738,588476487,762098210,389220929,665504299,211771523,178711248,913128624,588741549,975775552,688906147,468518758,867726005,12038593,31562961,471718631,779053591,538071029,656449666,898674634,793842387,19423262,890623570,185398705,846538636,40705904,445334128,36874394,657972029,616611767,229895069,655058861,155090270,241408806,641957114,726645926,967902040,983305458,845026322,324752474,885748074,389895033,9669376,428681072,676138410,801683954,898200682,866388853,49284203,990825503,35741725,475728051,952365472,409593399,290039292,656880875,84505291,672458895,790683407,93080402,850470889,617552878,897397682,616431017,919271931,538894576,28566956,639387051,397480659,888331808,312516383,712129676,139094357,925189146,429828751,669729148,657455429,44143137,896419502,373965432,654395835,522667826,393589332,287876558,651339364,828680821,314498597,144910474,361388886,948141017,899042070,604577387,297048197,700671202,243720448,222587948,421418856,427568080,669262092,94881694,350564702,816069148,933921780,787406109,394279576,247194716,659840096,963491497,621926141,942366846,377839543,904423135,106961356,877196550,630280496,328306029,381912402,259658267,256524873,14405468,91643580,692379638,778066527,343401228,265240258,890313044,800722146,764711705,88369697,528098498,768397667,13367371,983321651,305640149,967903231,204662940,756849127,386404985,473020925,13509173,189775432,83246022,122585254,309783836,919737386,251511120,224937099,649517015,42791830,846714461,954366529,328480025,308171454,834735999,832990885,716279439,676745862,834852009,890280653,869334953,655241739,778403030,392085988,728926556,129185573,555171776,475758340,828180676,229343747,545625292,632710143,214951555,887768252,180476872,540305624,488375293,447961778,897829630,150266682,935871494,239897628,36306920,14787071,137613306,19047148,167181446,221686307,926231605,440085342,708241065,321713012,700623013,523542251,269123659,394643556,408705072,430388587,173026158,90373298,742817204,679707901,916179928,827473012,830180200,389508837,726194344,34322543,60782569,810967191,296956110,985551922,802735228,69099689,861993337,882544894,3086387,354689796,637067784,147299021,323439936,749598214,64963473,875874873,260169214,786704608,261894718,832429561,754318611,736660374,115594129,71586299,378870353,263657928,15351768,115135473,763413863,306155139,922764812,918217812,193842385,113220505,283673234,20446421,16479967,685827685,117524362,817386440,717058666,227736181,634222817,962294687,241449362,254390688,412708733,547966203,442524448,926032328,256891420,892134103,479945158,235592616,347569648,954914412,515973257,350763691,638109141,69620416,839227397,51302625,449501182,366481472,832015107,905697926,676741743,37441717,811644502,416274325,789866577,872878678,726743340,572104693,828643521,720840242,947503774,827075515,550898106,867141112,679405518,98209130,957702403,892647889,588425572,227007937,763830442,318240083,58845407,237942466,393609077,548918027,593320301,471151375,782958204,680266100,849048920,365677646,536392314,258833786,522137945,497522065,157628999,138290860,222570880,278588036,754198935,765300737,243730127,364842562,689214696,860588574,23809147,751837441,383716938,107467979,102524014,141604079,22445434,383708256,454334769,766131067,512348531,434643671,635422439,481936828,340270682,479822553,387097373,478628106,136538298,729873250,989536834,485814185,839194198,969893055,4900737,372276126,391256330,586272280,322400955,116257783,201582517,799154006,794300225,236835686,279983815,993477477,369815430,804647179,892199865,979192861,324767845,793631281,994992220,664601851,815841973,802152572,481526271,221601743,503349374,80012548,962958858,84624952,97545324,792969558,869502280,5952227,12200442,275611054,79173264,328296047,894689272,111856616,73832169,961291301,579954169,418718740,247387610,878376348,368490908,714899354,228963972,607773140,245918092,386527512,558984436,136381378,997533886,132702955,467577010,848031070,100820775,491987507,282871800,336610001,620134615,769068281,501973455,139295754,264083146,272601696,430570829,807093744,219252454,832278446,950552888,343405088,545771506,85628197,756524483,489444644,87426885,991414415,718515819,178071277,832206183,782271513,748136731,746048966,977128489,392663501,611073025,961012791,281531197,770616258,131516578,460010674,181559960,184901923,140130222,620508282,280619199,736895170,913924541,539355591,632174008,541178774,632340676,398202035,600686647,818558575,486505624,342993818,847300612,356669333,526124381,60567816,666820815,365779667,123664146,83567939,462288019,838231379,783678923,953912780,874530275,307029860,634172780,744553708,988942517,927420850,521610862,191596103,264213125,779301551,588329793,138105331,712890588,76568775,92592673,709013842,849662506,594870278,156091065,342054969,655158962,65059224,293813930,179844671,795943374,562903713,792017900,332165468,800009698,355719822,141410014,772197398,29987170,496971202,782096921,9511903,973860547,483125136,20856925,489468238,901683957,540086535,218100136,55992999,473142471,137700979,915020229,484106322,762566259,688489059,804832718,501763064,948104876,869080139,257758839,926620505,539801937,636121458,496520651,874918960,534686459,635437789,877337546,343780108,665644544,860966196,352073035,697749070,1196294,960876676,421307696,731840674,27625675,973116910,313212096,128107501,812220873,534450936,994009495,228306850,291519315,417323364,252461543,142252,931128482,693419140,601231913,126368157,671843300,722421087,864681501,779788315,325781437,282912149,737300065,285388811,369858176,683062870,931836669,681026178,247155506,326225335,736894177,424866420,58488925,866913535,891622170,816644639,648093625,405827352,911260283,182424257,770290395,174191184,4150411,774823618,4108660,743975446,208168787,490626462,198138364,366394351,870445957,387643075,444604691,331991698,435191328,923185048,177753715,104798450,646219911,905397024,638164196,654227840,883176406,905225405,823111004,956537599,652464395,505104612,769438038,271049490,680409691,510953996,362219503,942628136,686594763,634394679,307769389,761259012,661809624,650113291,630632362,168359320,810572495,643931930,784647314,95056044,951033146,638136740,863588614,853675748,47578849,421899416,331160152,834725851,855728453,607509943,36937423,743193693,936642759,290411570,411723191,990451633,332825027,398059801,640363300,287945920,693537698,282145936,306438604,847249586,131540678,369443719,330733776,781509985,12753738,438680734,285309347,314556861,958172992,219745090,260961079,730818986,719235046,839848415,193625212,243314522,959630475,176591567,758314340,316260654,46265904,295087648,160330897,108167996,884371830,142154423,502958324,565641005,657529573,475968605,757412074,327458913,199322076,966625898,30609535,416300726,938067022,564112476,437062694,512900551,27007244,21411781,239239009,428130388,633965992,603277200,643979336,230237357,211907456,642880142,919276860,414752027,143108587,634480737,120346170,450902980,77506502,274185939,597194145,662190081,897906438,150517776,831574552,449974368,428361517,312056912,773669575,489389838,285569902,79459623,542069951,712228583,107133132,28761430,940563832,553415065,292817390,711512976,258030994,354450575,876418054,336882332,524380790,340457841,108415604,300285695,954742499,327667475,828543638,988106149,506696635,895943391,950797161,553319755,486769371,512421505,698746901,409456769,490436629,275097524,803398459,585682747,949493785,978811112,771552726,845687037,811847611,496213004,141468545,129098766,783328915,440395657,985895271,855593251,260813747,483653543,735144407,122805111,645551721,279599743,373817348,920627756,400492120,270723787,153974836,866940480,937663953,68447484,292793089,988017721,850209413,522828609,476495156,765260244,73146616,250529999,247408492,961215420,354036239,714267514,270162488,315275377,64284984,272811048,524935662,375512948,995059382,223363315,871038308,837292827,372529388,975813179,885087224,763766290,427781802,216285222,883435572,939301911,832218136,699834542,938060958,450736661,189622830,686595908,404014021,145447413,304864036,157931319,781374529,51334533,80066663,474144275,409862634,174241401,62369199,750698486,428009152,201924928,246472049,849223496,14321115,528092793,935882597,267703850,949060350,119274948,952920191,752989341,644805712,632290442,797867240,613135422,267184003,864580937,709291509,930645476,833849270,26910290,132152252,774331604,763015350,687893553,961045022,878919182,655664716,75110999,726722434,392052977,884378557,768761661,530037520,335780024,926209323,553648276,899025089,769672356,920142909,332516539,851326071,474128310,790250909,465012543,854401454,741220762,44974397,266177744,658219589,41359588,932579637,845079905,330929584,719197572,158556786,444671906,236216541,652255089,119750372,78567224,476084798,16104567,769990105,4385926,524021409,965209151,963443075,387345629,160924037,955094541,700752062,170935525,960810971,809840496,3982538,19994417,30185983,236521818,713127687,203677366,47983868,717727818,972556160,232861568,231662767,904004862,755642036,29457129,277769254,585253452,277981545,115847117,677230769,487431193,572866114,316910769,556676775,488775236,505033356,541400509,104393324,356155412,115222322,492928764,273205066,625762419,947496921,65056186,636060195,260205126,570651840,995034333,556903501,761729331,456869460,100080824,62081710,208851629,290945946,514943910,355417413,486276010,514831643,631767619,313131595,849376,746536661,434813839,25464667,494667124,194855833,570764320,273836659,550422141,205177688,263178313,391247897,21951665,626653896,302342080,176401659,553027694,72178859,888660654,398725672,658265119,733193879,386076982,912509770,641719246,455560541,889066423,158587127,642040622,728285824,780839552,406184814,362814576,712296434,647535550,163490514,798221621,593830090,724650049,86603361,881761606,53832115,313828577,875270519,939997497,407375321,929479910,872074954,945068522,109393944,938467617,414812412,10409960,25772565,712551400,926173003,199685988,390319752,246017328,428132190,599545382,545915202,6876745,851674151,901278445,668133852,272606349,128022117,698685899,403823418,609321976,717169795,187808238,254097371,362365200,341106691,154931165,771141195,933732672,616851683,396374271,219403139,264212049,399657805,225757282,196605253,817450839,225629518,724288677,859386010,584885734,18260864,577643118,710565245,552254248,436923526,74859890,705758579,602000236,131074437,272937640,592850745,888013602,277537830,752852015,792681417,463336138,983939838,738028481,724196602,801781135,729496683,754972245,747061526,890067393,298872469,539917557,928681337,877221080,815221049,273229945,59082971,906025094,860794087,799204428,954765796,620688610,537137738,266413104,653833811,678846494,107148693,46164602,816867248,297129194,121615924,288405236,601501449,480103606,152827946,343611543,373427912,151307732,341343022,819318930,533440995,789778380,578630242,699687809,980092775,155496667,683399245,183823976,282644429,666145530,436427448,529534562,870102806,907770348,501085587,227549161,459761418,825139320,784646555,92825692,65716852,659496592,232824395,665691623,161121878,80933319,688223307,215275170,404989072,506895231,680871717,253949804,978409557,652192262,644423896,255706671,893871805,538609166,486678020,808014636,624992105,503405147,992779407,465631270,765242606,348571657,207047104,667282887,812553048,311835076,392216584,927785205,828722269,962107289,217369794,48204234,653114285,500894596,346567966,77436469,822725552,752908036,207071842,601161420,279867888,367588002,488366613,638716131,206945428,161165215,327893869,920716605,609238686,510144253,674500370,897332081,964185025,572973816,269584410,738300021,652093758,390547580,644888977,15760567,392152302,90256095,79135934,824849257,317707387,674326181,759783729,966232368,259733935,960435791,528362441,775640408,719474797,127387871,51962261,980940310,316977232,588277253,342540573,526928489,376054928,823828884,558563255,317350968,255503538,887395085,289082337,174189809,646585598,339256439,459966266,442937407,837074550,325331295,409345710,641930711,182211392,684324793,610533681,940268406,410170191,540887672,767596889,903265490,37421414,624682016,565426447,567388063,375068042,287281501,463007953,640610845,364969975,909198326,856530971,71009693,304230722,709243669,560257292,50929644,854492979,815092109,250742891,377486035,223723865,151521094,445351469,322216648,384545313,43030515,477707583,835058645,783435222,568116482,86281731,332556669,285172777,319304784,944298492,747267426,435972653,234406837,850831516,994458533,259161356,917919473,946323815,590866870,858558782,883315464,811934570,99590502,276038125,259772089,402015391,568414745,548816403,616441902,890543095,850554065,132514130,270183825,118282956,713247837,428263233,554404790,451898917,814738486,860076982,998482216,94299634,454903883,205566914,271846077,250878922,711272210,804519712,405266401,713216399,246101042,373254260,607711104,205323747,385630409,973426684,413705171,379357265,487948061,457914101,647279841,63130713,45769349,495055788,577397462,351521353,924889771,577010219,133267422,434294021,189827663,196341921,429681985,933398897,482198966,43473109,712956207,878175367,748910972,750409572,595710400,885205199,100840886,475592361,736782579,251267673,295152869,990954632,911030842,677566837,299513962,956572824,343725589,476999838,120098873,921660328,259706027,155764922,348491650,580898952,54744830,701158327,276009207,599142801,64003728,602197008,701035209,858970919,489725061,670611656,420049812,915970181,327594742,598336881,645769244,124629598,93258424,838587170,945581794,972568743,554982540,260202586,683222978,263200192,337729622,753690806,812311178,994499840,700721887,273722148,706798544,62840720,743314081,574985732,370004104,270260137,890910361,513165174,416040337,993086525,499898267,685426513,217404368,536985014,902042262,627370239,141241742,177100540,623762037,821122245,807498404,700532187,201537832,799351125,233905464,661925349,392200030,652804348,498793818,731108883,854709274,366609248,830076707,47792956,179488799,254449067,920253666,931931681,85063150,408804226,362184849,65475380,470414731,286204643,194045790,840223828,278060791,748022798,687067234,617291517,231458253,815834204,247187323,416819409,139888134,580423209,740694299,441597397,928330264,860911551,198180356,31207990,670965392,918103020,298005583,503649707,390119991,222904065,691826545,794267812,527356081,261371633,53799248,493569238,499494306,811954487,450671545,593881102,861247761,500349865,984956760,348881212,238898369,51925851,140795233,146812238,976845190,926507078,776401657,973977046,319542959,650371605,703915384,595916887,489247914,902731663,675251957,355385882,541569982,416725711,826311200,485544719,728710764,294826729,587381335,71506197,338861067,461664600,750974253,799043876,697881863,386962531,120073323,51980544,597206945,167100008,909448462,285646025,423071721,910340263,591669951,505009781,741048131,172747664,625745772,992007875,420635320,698439770,205060455,476539910,527088152,308245179,515952859,680263972,818047545,109463172,729141376,927832725,107885821,323103873,806109936,724893457,834749467,792477316,33112255,768545839,653609548,50560309,538964995,989299606,911055212,891886750,833000883,953543220,484841399,275005795,748180709,680692618,868364378,756155580,536639201,907976035,928327361,271929844,744273497,488463221,863939852,498463600,407434223,803529914,288641798,848073858,997476638,888140717,136634180,941959940,189132057,406424369,913391405,776343648,643673574,238609772,137207148,528639743,37228254,67848085,943969485,284615267,833172452,13936530,47154039,367151477,597956196,68907850,937285129,840496172,886452027,972631079,210614486,453232156,411378388,916348876,562780129,42411267,362859653,236876989,63429436,518756760,683078480,195055935,997881204,273469350,135294073,895899648,504569586,821923230,622765828,204761819,837153718,843738097,114578501,808707756,413096248,40301403,710426501,816997126,542766907,835325038,415226274,534819205,699448574,446112970,638703812,34782637,197319290,785914000,505753199,337069284,480009994,669364264,174801251,832625841,916674854,457336753,307663939,526844759,82591284,798644865,421978467,635340560,215624763,299176563,289506471,561243274,897318856,358876871,305196296,986420735,82787891,638399497,747671921,360201260,755415131,287578032,822326129,45259867,847794028,498546025,930707187,852840083,36683045,22633146,58168256,614184710,281716685,695294646,126844102,884314290,334169409,233219187,250429498,115725024,14688906,433700321,594935993,297880885,360232101,688423466,699439847,623388527,216161199,234379689,833486619,852270426,745713105,466456948,910639312,146756022,834840770,355289007,372847708,661211377,597296877,539099087,659257064,942842740,98919366,554433373,31447235,678583434,755288119,345626868,619733276,966933067,384102165,217356781,989761573,173056867,640790874,2763688,153653850,249167913,692820118,135496,222074741,60103080,155073379,837032798,762943992,136265398,508182254,643976666,402210364,45870844,943426375,4233875,567129266,838936497,968701592,730283030,284296722,57683495,21265333,620956154,757355995,850364070,992909733,650015825,387841578,666061114,480815410,334821416,316486978,178518833,677891574,415820695,908606220,449431480,663666055,71820030,393140681,4894284,400475413,966414297,892380430,924813795,388017159,689530464,112598501,859747346,356142632,406767134,768779313,265562156,641325210,350430149,215965983,226075042,4078570,196830379,946395527,509737810,360561181,874516617,357030979,398482668,635301664,779851943,434947363,99565464,231558591,610436046,158774925,872813757,882848273,110258487,75659726,220431860,699876385,621039731,716333097,460253787,234174190,384655273,90085425,617402144,717406241,721024333,334170866,909643953,82179475,374364121,365631848,510592627,296990417,689219808,226035033,365210617,338894027,69196656,361252214,97327534,557041556,520542549,894694523,682773587,549232909,508156394,100328961,114503854,400990861,8775129,538671047,701652494,213797193,105456172,700742296,716433970,240850991,983604861,683669864,868902283,745012844,953160286,196149903,19797501,121556193,335069560,654911562,28629223,37078931,176765500,119634305,55194190,291624122,882507728,296692222,252673094,553032586,826782799,607389521,520269570,877368324,255381589,464414850,815446841,379901126,778964985,730538769,774193657,936995082,410631333,217516935,767586668,807546907,603468839,469263663,151934408,481060594,130498305,984509549,40131792,198120413,539661606,4634204,115403576,651339502,562424455,105355632,351841854,428637068,445063772,77647810,913307529,213116906,935262736,578838510,648756140,664678803,393249287,336526046,731906395,112122331,744364101,811327798,117977037,878992381,788380250,46252097,871216303,805476786,120910819,76933797,78279525,877866916,366321785,858513335,465860558,549530172,664660078,544383310,717497224,304272802,263040487,633794279,9882143,333168730,350107127,846094748,222959279,444830568,106721657,425681136,121033601,515281109,749899391,876051460,622981884,564357240,441956274,156714363,744725273,981964425,656093936,655651932,218528239,174751861,390587341,477738225,730205415,277009613,275650903,814582262,384437177,691339514,767457167,490029856,644318469,671685959,26730300,196363399,435088080,110485903,672227232,487202742,509746765,478541880,692392912,940732485,829178325,259034712,618316003,669248359,432426980,619558927,659930758,467990963,847249811,607398665,332400118,427573769,147912417,351478051,131261000,688859924,302665184,577707013,842972551,979653766,150195102,334905819,178413724,328635598,614977465,466062090,154837206,470064868,792463664,311529973,298859742,842321258,666385831,780049850,736544056,406725512,705271552,421074040,159231871,237349410,976500005,695137659,836413720,955968990,15228263,195083845,27911060,329721009,904901023,178046688,280684151,164036032,520821138,867389640,331011361,257532803,477994721,710137048,439878942,944141385,452529848,564767691,92742400,55245765,544093541,433702430,625172501,801640689,589259290,933704498,484432773,934889363,322530341,976985492,378325950,386807409,741085510,985817668,214586804,756365519,209150745,533572208,794844225,113928437,921524034,338069977,302982574,864041183,383769249,83056502,283327759,791888621,48724982,483883280,270517291,306158502,166884030,113740652,757310079,157070723,76897164,534222037,730994329,80661216,879110609,603639029,759649075,490331938,349897879,929805724,259481009,207190289,16563597,699420776,874229687,595541109,714907032,784721093,309187483,729561427,492142566,831007873,508302431,33038817,608348603,152817656,405237716,985682011,684551333,927032937,363716281,38414066,640739106,975555036,51752881,131902399,863725658,543383394,819406343,394085882,186977748,379090547,553001434,99574491,643277025,5735851,396377709,405316928,940572054,809212344,16600679,794265701,602887552,84709338,884731221,419142874,211690433,148865430,752137121,640056619,896097187,266692157,606929172,680590309,615203049,897806623,50418224,548441633,3685210,940130055,159718684,964837371,511275029,916746829,943140012,558107004,830925002,427874024,543845029,232185792,200955652,482291340,520892074,854427873,428281684,290409805,472624468,399068836,174848496,459857570,302828734,519927154,543276936,729077687,687288019,490605009,81009771,145480452,403882915,644231960,234331507,290586925,944876052,286404972,756891076,686833042,861922003,329397496,311347126,449165068,645215355,758114971,828217262,953399294,16589279,570039527,974395327,687997639,987370663,165487250,87453989,386867036,690346928,459934965,78308132,66423094,689926028,574534329,300011216,638765049,152526746,918121765,167405643,711558113,171731646,639746161,213498637,458622712,923537579,403645326,514838512,917662531,968724472,138663413,461449486,408934839,847297755,687592889,365219226,19303767,965497968,923992532,460903392,322013944,934361824,75650549,799046007,706898352,453974419,548247275,526204439,389231750,283704223,93706973,99705835,771999154,596084134,827939194,793718875,369991083,911845143,258518926,733872243,345351803,841920064,89124813,906000908,937565824,753571666,5073504,118904995,158550672,290696755,347065303,788064957,735001313,802366638,289634,936587428,593358220,344975653,571837125,476373717,15012571,261682882,501975824,714738988,467203865,125242158,433514336,83776959,212178554,162875153,814220286,571394877,714351330,672325427,68839099,834982674,212495414,497657983,954177126,873088522,872704438,960839978,409288298,586173681,535641770,4446666,343349013,104810877,981493694,400385005,295211199,605696855,926443425,839945484,75925086,66483862,39509997,883439326,931859236,310504680,335286281,389030615,944502668,313653884,629080141,788643086,935470534,320566538,987474008,216513281,974306672,732765111,879734309,26558825,210050369,267930502,800455626,359181400,277669252,949069984,543609750,233232894,823232293,461300901,775132902,599796388,161436834,876155905,729465038,797173018,272425372,131050927,118185683,473137822,297411751,504112514,351139200,810133927,729742625,48567996,819585300,705797866,994249236,237264968,584894608,860847293,536374241,451726445,741694908,638519272,292750585,889427066,514545607,29813529,604297063,511692233,854768316,498884968,420253942,616068162,994543256,925144297,830455355,379970687,401795333,39665370,62699411,57787904,714404208,581818366,539423601,457707772,129102851,831766586,210186240,736646498,182323764,465493818,311463768,577184491,22582706,806613440,306172788,641725415,210967557,5360114,803167245,307724100,3191382,295421530,46191682,160736494,298308912,992950028,443069863,1861804,999978070,960367494,104226904,298641531,263323251,25127384,944535356,584948530,730798909,372046823,18398708,675249940,621293267,287290813,750215603,885020075,232815657,67990115,876334605,380572865,935843595,398713344,156946674,713542848,274200599,254218626,341782720,808494794,926850890,216171,762278065,827122270,662284060,291415141,930313282,848385559,387539985,367042431,500108908,6238546,55222123,446947634,545595838,787046847,942458577,944561046,431914705,384158677,992990204,474876567,364820464,643511118,600278173,93056526,274144218,166763049,373583075,656927410,177845305,112176156,863703418,133886378,975405053,206466510,219495619,768349225,220816902,132353280,822874692,336803861,220859658,98832326,381543485,885710372,329818206,91211382,923133308,848753740,801163608,952295254,773435718,377394041,717167000,331179512,749520701,392473732,695296608,301954407,913243045,340430690,367776826,744634512,825747631,771581576,946982172,752568203,656578791,954486987,518776941,396058077,806516400,808482489,578170380,765833304,729415520,773630297,728199437,293473061,192371643,689263976,132106109,304124003,749458128,946129895,833282698,938524997,324662387,610979214,119305720,636872264,108426849,711307825,723026877,371998056,523873981,315808439,337794035,216425701,247263602,300384420,995321040,575534699,586194523,904305706,452677296,148465985,47996954,8696841,930698144,780524835,692449916,680677899,674853883,85621279,353941257,234907702,199050028,685132749,904556588,906210665,944974047,473955554,574289358,808210082,486127859,454296370,967203940,243078965,117980326,134077763,146438551,24577226,822848552,229063630,564650240,618220910,900098963,814476785,420652255,842114899,915344446,685804195,650324655,741309995,758411057,826271867,235532936,868432870,349115519,436033698,401553293,242955628,47324182,610283492,747227548,976199971,530209708,800407598,725923382,878652336,464045608,163091104,634245446,376109733,626943116,784720804,305068853,706728158,405215668,578817138,755457295,701269499,879421749,821725372,400418474,749692925,129235058,415644434,542171230,567048234,875886554,867777348,53372952,193230606,706817432,542619345,652072343,534300465,694358898,859520971,123404375,93927350,461983173,327944286,185468777,713484499,174173140,852398481,157583882,757054177,272422878,441525677,937932404,196355609,432697636,898097872,928889185,289932873,450768008,55738955,191872666,628892374,365457023,205106958,734327271,735508802,203611158,68127015,171847505,269245163,363542238,635965271,295990957,429977984,126121269,585997776,310604507,768311454,341204071,14065295,901226690,75980080,733146249,25867520,34346053,120147876,267555879,301556282,833879052,843944068,656307408,61730217,821190340,24655288,874274770,64447875,713051176,830796007,308878628,233699602,970148957,830490979,756679690,483110771,463538391,15586322,594617560,389792,906423338,111429312,983728932,685047707,471892369,795061526,631374293,256798159,745543546,587685094,455029969,537025944,89469549,897062439,649498216,979499603,815329051,919778649,947987399,179234439,620527023,268281665,938102485,976342193,549706471,835388408,721638017,455899658,629493030,46564404,411661455,976409204,864650181,837754339,908201236,605855973,112166898,586692085,694471783,775511362,233053600,701927921,409852769,510296852,597967854,203211870,752457138,265676367,83447782,962838203,38403167,687831288,142708251,137572041,592511272,560169740,369970975,82564165,425972761,524533142,451333643,305864250,868463055,707075470,750479351,546787523,959869450,485773607,801983769,351652728,208723143,599900391,453631015,760911837,134810667,428161134,980669654,455151357,763047060,465431428,499817764,397311398,434432916,140121039,535337886,644458695,769917599,141332517,186722156,293092668,978221272,651930801,224573006,488531706,924007855,899478699,730770649,957950896,705121578,979012630,661522772,978071303,941421074,488688487,610994226,547910532,346837842,66065227,566367689,187894785,847978414,447547684,838780664,336857899,204944326,730051587,665839627,258337726,372422548,341713939,560923312,97300577,761787653,356410972,869200548,775654017,143141762,530325991,440708338,80793973,923741126,694742166,133435955,596708375,220255416,897087125,591452585,90611240,906842421,907587153,16904446,46375617,644907562,679590337,309398775,404742408,478546794,326763442,737796184,670074792,589760673,458178186,951848316,291013388,585581284,182544259,732874393,633765291,479023395,664341462,227866916,440496824,715701761,987106438,823325427,869524205,48559726,459855222,930316080,205502007,717298911,200734565,941114014,838329859,686456442,821972081,766205384,462039938,736227003,965554341,983051608,924766654,500432947,90444312,546015721,623937343,294459334,913605042,101017094,446340727,7836468,314995833,300193848,712965755,970594207,91738429,881981465,565648082,336195622,290700620,992204096,409034618,189002184,397320147,588816424,267969483,363061523,768218706,84714614,518571798,586857517,836432504,74560523,948947207,757983958,139727978,84382272,573047656,724899354,508308220,253875387,580679782,643695463,292354638,356338950,478699206,58448196,420376028,657286767,320007067,246151559,878764149,296711043,592410667,10568867,585471558,536331077,993947035,178583876,775827396,501796231,923239192,110225978,767245972,752767996,886328642,758379909,167603767,840718557,484937861,505133615,936847885,194510870,697417611,977547419,126618649,921186609,713324254,576600549,677225630,671386100,788978691,421681162,143504641,185579187,348248513,662598415,60113435,715228960,187480280,722551237,980334501,590330030,848732957,699634322,80268823,208378506,362833224,386341785,810121991,495690934,53946695,382873441,435481389,427530752,611352170,129288216,406406086,990315783,541065402,609949369,430890187,2947243,949013254,416624121,845953837,875868003,274902308,798795895,531595981,965261218,742113680,310040597,808660413,968403862,581330058,973294187,89006972,413337831,940020313,557211491,14580100,105741647,554279219,471740475,150018178,186039465,553684874,538135400,466431382,982701750,823903919,598640543,327795616,387564918,938627799,921689244,534616127,764646423,948270555,513890077,139490050,159804936,53184469,574419359,4670339,138007721,953020732,430662493,371464899,40936869,334028520,222032197,142808692,295254046,260486072,291398412,314836737,134949970,580427675,108533554,255702859,346178258,420005350,10539747,332897142,501882224,511173200,48279312,55075005,990787671,286910859,522277278,37386125,350624157,187016110,138099628,393042624,363061945,349947988,813782085,758333929,668568615,745638665,513875030,120154674,861436891,745556244,777273430,588467903,406947471,446158060,428652575,515427286,611862693,912620998,337281932,616931272,850126012,51180426,369647120,881472215,3003687,189766862,423012861,187489227,545672730,116479320,273949032,819043008,424542917,312617791,4759068,933445960,298415764,868519440,696295124,855794752,23357612,563160673,597931176,281903382,93083508,177612095,128496558,905732051,971774804,783377889,63130801,907832739,648026978,965527041,87479593,52165052,977130959,548868669,166006145,850266317,426860290,86617559,346695931,876195761,479635224,287669510,700665509,394700909,391737880,573085877,62530738,309729237,573397110,445831080,348329813,290738351,472922928,237249089,442662541,403774612,922490582,759846254,597774738,583228918,631813345,668568976,620278603,599004911,833015799,271460226,452501270,228856253,624487660,356440264,908974906,384891699,924330567,328999732,864645800,217122286,444566724,390088872,771430184,831682123,138682027,525016624,142328279,724502047,923433668,608866413,30254329,139475559,709660875,679813341,208001394,372068957,738001104,621912998,558541819,896705505,77751679,733567768,462165806,806614597,271859812,914307444,382534983,997629370,730199653,876452211,257680856,924247697,139393682,775563538,651038233,652050081,868976294,650325291,230640109,163540671,275882470,917863931,300323333,612860130,209243909,855612637,45753044,266004767,993647108,700837994,44630317,967101176,610354062,369743647,228164613,514544486,434603945,895326813,45362622,816382667,548775210,865648139,904805948,625367226,139448857,588388793,369683361,150138201,433969899,521437556,22960569,355058588,176359581,529320749,247228849,685290079,649107497,88922435,704789487,143859945,565681078,397349487,637764413,547748749,947767655,888210644,953526207,685971171,438519098,771687513,393410592,940619107,850731896,602379227,411850800,79470447,420711720,293754344,877638846,107846827,726215029,333410080,830374361,634000372,567183573,472724541,272895349,375824215,526928602,607412895,10679176,591460897,826623062,412641625,494058630,18124599,511424779,884478686,727206321,543350741,450592763,149757264,651122466,518513838,285732754,71478075,80314242,429267163,383037866,736766935,100536270,13345576,904922373,337981857,738641569,858419443,502733597,801805202,870212783,64166528,804557197,674108543,504388947,669467646,689689155,83889348,967929885,97788917,624998188,999110192,595125573,765326823,18506023,607992291,191283825,883467869,640843752,418344665,581022957,824369753,141663068,648677026,276465461,16882183,751494246,28653440,299619821,25445241,368245965,631070325,244113571,543958988,250499064,251952754,876258049,80391134,176588194,854091226,594097468,311352364,425035866,862682608,171356131,641425043,512141066,242891722,151902131,111952973,724801250,743153297,991200555,760595067,813288327,397287476,845132365,20030118,503778855,303465534,624869262,933971979,184284126,184175029,193680870,174438509,909181501,624085807,633609567,293304550,654582117,820885139,435178992,333436593,65145734,99044971,569910471,93485083,934130945,359732018,234084823,153917278,134662438,833950943,4491618,132744782,734491884,133012598,387170275,904908884,402878784,624178696,260819547,811868669,434563442,831240811,718440803,638971602,687968303,104577444,145692867,38090690,191772326,310695741,972943207,432980067,430365514,533743887,180127638,171924806,963402013,193438641,317140688,578120132,147698126,462774292,350163983,329260420,605284167,661786948,21405110,214704079,990926018,744536073,392214473,241263486,370653313,557423579,714879005,987135655,578653474,170179641,972822288,546235624,975412793,919313561,378826961,833190593,591045316,801884211,720756616,117684342,806023212,22665961,520846810,702018728,373287289,725996812,49653371,492643278,964172546,598900595,966828544,823933265,358172210,300218029,482368016,40231699,867433770,387672976,413671836,260359276,244759984,750438530,274184363,62742637,790237718,404966332,78335987,995152419,416556790,506410779,558278316,343423548,117353689,377850069,325183448,524473605,126097172,965263264,565835459,148530859,99145339,73518511,619314042,892842342,669593030,157219371,500112251,16533326,125015285,753767759,444923974,418738185,843337907,39068549,18398607,41790962,778183235,802842761,225471446,56086864,464471636,279714264,523827677,690000606,274845746,577465910,407139616,617257032,827284904,274261188,842215877,794765069,916361968,185171889,860171668,982468226,530769472,430396482,914905983,111756846,296362200,86295910,844581627,829375857,870776962,828250508,882314141,883661383,891833480,744289163,55395406,850939255,203065919,704121952,726171955,479763324,747256635,733491837,883344734,975866356,74613810,739560869,213661489,660376761,941367130,487078515,897686333,928722865,715522957,368786754,461896814,765584763,843871047,458052626,313906411,164528854,195317924,766910643,955800036,134557542,292035855,495705452,138124140,339422162,12847197,322704582,903704106,399216881,592712640,777010870,890324006,619126809,512153021,518467845,845957042,883523342,841450419,644704600,326573751,578996451,186676474,907783996,545843120,196793726,344981562,974564956,690726715,602996002,455954386,966277204,31805654,84283022,242218050,111560802,489759674,761291856,279878360,759876982,489825174,936607957,263192874,814082347,493584990,804514692,882930428,730637595,975161462,984356057,246837585,122294835,534927017,9150432,138145749,473628624,765238411,289029466,296461798,75333273,20344581,856748251,3253889,327019966,775519567,598025560,123154931,222219723,964985650,744448401,883036655,882700598,832733881,619092150,988453744,277127432,616735026,995541301,953428866,951782814,746337806,479475002,610118144,163847354,432588895,379810697,616924871,411597718,775483393,713984951,165158360,51096701,920820780,843875635,82569976,23316312,608041671,808909162,156828680,403392120,613354108,119993846,798915557,268687622,238501275,114873907,746111502,952437493,992964014,255920052,895767598,950061730,834958520,6260151,518820984,521892396,494720417,748046539,395689278,354896458,67277447,595665550,520211457,6939113,971741404,658068022,213668462,515553911,976021812,567377416,733439442,376360597,678396046,409599866,892422394,734127012,327836213,512772256,433586811,507107991,290126123,439908188,775553325,874924164,742410603,228798234,305794769,582273251,760276341,610850916,16305915,810051582,995447153,188400810,529265745,115453972,385213159,512082220,878084202,252444888,993085143,514462924,524950542,421036295,19562447,889352566,75522430,201958363,447424413,699973379,534875884,816412501,839027956,214241134,309456700,500346344,707542904,686161471,384807117,36133326,940919650,255246337,203626637,340988865,598164384,417340743,206822797,622625529,142565972,293960790,510359771,357528158,666375621,230533841,971476294,807351569,747375054,677396447,640113521,494309367,100850234,938372089,816887698,111055408,510372777,997605314,206373273,339205673,460147546,117710591,912084635,888267784,309813565,590349704,807030825,889987364,744933409,752375192,237424752,32956202,106959243,675474761,115482323,307388277,904507964,28105232,508543157,910285842,543123034,975847701,656762063,371442473,386923283,503445049,865938456,306330433,999340435,476965574,401330385,168601543,194193112,973318809,66621951,842022892,460551406,260643528,495469432,567954203,254175588,455195458,344210984,534972103,920098096,970544065,818121943,920955771,121714032,914729591,307107938,464319798,23994455,271998668,594034124,631801969,576241071,609047540,402506080,809624398,179557957,314826272,329019081,394128753,311528152,647200111,351019838,885897300,701063455,978065201,216946510,447649941,275687837,889760104,939913980,754815293,461283024,349123819,225739767,557756574,200500331,867848172,279755978,690082284,941826627,302469376,901627996,482996489,984258509,669096568,805254920,49761820,525008937,848220708,907109112,468196344,762478612,899869314,712986839,812132901,216584716,237490074,792702365,450253535,986999671,385766885,732438840,318841488,569365667,546584131,263213064,653112886,94107127,116901870,404542654,711493261,993542671,734074181,547236483,59639057,158705309,561337821,398424979,780911604,74903278,117607480,450486024,697634154,695311575,81695937,232377628,956706647,613307710,866555862,688796364,586767250,896482228,452542431,726999356,703263045,374592560,748561191,573714045,896818573,231899745,612033150,436365650,22298705,582673944,402091484,765156263,723277443,912008371,111862302,240438291,762217732,682045949,286654980,179972077,416788235,779538767,805111206,808325469,948138512,280206076,144420510,159672849,92619793,182838633,95956787,913795001,623764671,603708219,239963837,641379050,420473401,614081745,221084081,920009623,396518146,571834631,672378426,526933373,354606608,788035789,545623302,961830661,932223324,333110692,163671255,169804151,814702831,789725368,784650000,833697166,821256167,54059460,974535415,257214523,373847391,211881760,202226475,565791018,668822067,788266097,561416126,476927883,718978868,909903716,198215687,884374859,396617733,964086201,795219868,596033080,377716678,113706750,811987232,576044147,221209155,852475394,134889783,699267396,153315378,979187154,935288123,182149824,255216589,881538790,631679378,762356647,115994612,83728326,583211339,397020670,544744913,619435410,334300136,385726758,168520286,540839095,807273614,120648622,285335901,183997864,2043740,593551504,692448325,657503847,579293881,428626563,195222528,607440385,974444953,438447595,559585492,647707357,847260648,340723685,410208334,514844129,705101916,151820061,471335460,200759107,612441677,709718945,449330869,116174763,665621024,475298901,820599227,335045349,656804976,210298915,585510452,783656789,875371921,614910503,871129129,951329455,119521283,175620890,184122126,620537014,610316410,682946529,134436837,691048929,375196453,100670951,823270276,583373683,736584562,609299257,818277182,851315716,680387380,934452263,907999285,764299049,321365405,314221627,613056685,560444217,302541666,606333067,846003154,268358026,364149785,82069597,951576492,182526837,675079055,318157063,463220587,791287145,867759910,62358070,860477145,438468177,177071150,214470288,423322928,556990716,243095980,679389379,529566764,836824353,428105600,839013945,316700332,799703262,566321870,285196972,984548763,554682146,434555824,417884292,185525306,228830196,461151248,634678092,36451933,407805218,47401782,857174036,332305672,514107848,371684996,862112404,25382775,316320036,748098178,396748036,851732610,851208989,489088174,153337010,519049902,610619575,189647647,746845941,182260345,611648063,28563007,767439638,255261578,594054679,959600479,640675781,419590643,402740208,627505673,123709908,335393013,373020213,293301473,181968473,251192746,739292081,488331580,270899573,304087602,250843565,145105072,893656715,340286293,48108172,392977087,879846609,865618216,755619014,779537941,379927251,225701632,170245826,909800050,947425042,456901985,600677787,519396074,799352185,373564636,313522,43543400,376037315,69236069,85268651,455265717,692565345,556732399,912010652,976459108,943038789,687819347,93742940,263343559,731953030,594105763,864625215,873606701,780657473,567691521,538598469,296000459,481351061,626406399,573579952,737942593,247541014,623273377,978228806,490979452,688789276,964442441,597170672,431815215,428128065,210334627,896352805,922238517,22978901,56265874,719041973,742660897,823128244,374075397,916990823,275254871,197704297,989273446,370134254,927028884,638065367,448561588,852987736,478335231,330948070,615118618,803729160,703075758,788175491,38892123,480085281,817449930,549152010,939119308,308490311,321672869,697088342,612720184,780003628,920402949,166008591,724266051,194917295,465904825,572805048,277267949,647461951,61749989,900662155,969794724,998358022,429842175,220559310,286710859,14328913,514928027,465186078,327192927,973201322,993786557,919089360,51243744,120872027,665978363,262881196,798776210,979163328,885729657,772916126,229423298,806534276,817231642,952497773,162383257,436454722,726536912,581918860,279541219,589765699,215996002,607320667,162816337,63288398,823531493,911869840,8694232,276370109,182897472,256975892,171090956,667180517,116691404,79184375,133789360,605609122,712506406,135571523,450966423,626096677,874950668,574558373,382310154,471885363,589971357,921552835,9542904,639668044,189313346,317725412,623972251,332479201,504596274,712451902,802718358,536524638,460684058,122107320,922189837,691218768,164247671,969937800,611281305,263008695,367229393,586048651,861453782,167471838,157104039,762918603,712252718,717807572,977247606,442558536,384197658,648823123,717214619,568906868,905431622,904314411,303856446,10998048,377918238,129610395,780630835,968110717,827305938,391135789,972399035,581346853,998813454,132990688,483869678,861978831,53545400,688869781,961327384,948394285,341725148,314922955,278245907,614761297,886958384,81054050,892031394,117040139,385074054,249827990,971713053,770628774,685919230,906539561,256139030,126047428,989302180,642798623,618277131,621746003,607302255,404913183,52417652,35961656,642389040,870215670,235004457,449195318,343977502,168182850,672705525,697716834,825464548,606935619,829812039,899906909,999659043,371737782,686325280,79250015,512249278,731960679,266084172,375268530,845653298,519424770,300967692,161194525,269079027,200212333,399165232,947340192,445609420,524552813,536915359,961490620,449426111,417561213,30877431,803907250,354826006,2097029,545166313,860369142,434479940,308380967,851363717,25447691,183376278,213515233,396949452,994979281,113767566,650075662,441104935,481649725,206029197,657651333,243173554,278467842,669828667,637674947,155007935,415409762,576937276,953519569,559719468,744512328,742430759,165592820,401770329,346417343,144966813,731406585,876579418,224771699,892681625,234092337,251262715,871583674,708202001,924990942,7209880,84265826,331020973,989095841,654434562,969565269,705629097,973558073,19876453,801569312,414931590,100209963,807174159,174345286,966248780,765800644,546531854,655843653,591810240,81590486,59904298,92458332,818373329,17568766,227213152,393674472,194539410,522949629,318998465,262696628,841408281,184957444,302443630,978293339,944999768,826992703,703904031,262742485,461223676,479976587,666866460,178055443,140058962,574826055,43396201,883157844,1100430,822103013,482805371,996917793,342788413,811373353,820439793,63576317,644317482,702280562,720919969,894880935,570181239,406126817,845204330,312886303,303578803,706573525,391923267,545772956,838806053,775888052,584147239,830059658,254340680,604802644,762873258,881414936,860368834,225765957,473812272,71126142,787129499,768471033,452430649,687682406,769807236,593438390,391516700,236363302,140957627,670257573,958865346,990662987,844028463,400827712,826166663,608590733,775253823,365915012,131137839,885559886,681384904,454368167,452645885,266394763,239878687,647591272,967165437,376655558,683436930,435207900,795816275,122365797,808042663,3825827,642216831,439197620,14406671,551005946,979455021,815453794,27840161,690923584,983076016,59433425,960171977,479493245,224756780,245817873,422743600,89326238,596854208,744252641,477840792,705867514,901677093,119474256,285224081,58741597,153532838,92335023,379216862,571176548,932451528,31400094,686312309,462978255,923216750,193479985,872522624,644375568,413125043,828762594,803649994,787440779,741977358,651332111,48931113,407553192,417881496,737324344,798108804,449116781,633778960,922454447,973463214,323445422,788848060,292575880,461558723,705916487,687096029,726037533,667561264,259681355,86312869,397909144,193421088,698189499,617050984,945640191,846391861,308329884,490385182,146570530,27834996,867179877,513040224,223719104,807476131,328425298,773191152,740315457,390207220,835344859,712740191,809327344,593379237,813879252,892811552,863875194,85087631,530507225,481812116,117877870,544807119,988581552,936011402,30756631,847933477,955829158,342304866,857986807,446423422,670791848,596967790,787560369,791228088,688328238,265375739,415107519,2571782,238040981,628620592,704503070,80228612,633766433,393690909,404720240,402145370,929445195,361706511,479572929,187055390,463636893,283967160,378444422,446084107,37628444,918486384,887878761,669351880,496523265,453860722,617370930,248600918,319176341,807384744,787923863,600256309,39133972,278097765,733438333,745139819,627838016,575761523,188898676,843997370,202600987,132200795,405364877,703355813,672736471,402752874,724454558,66721677,728393002,502746254,273009679,943007699,77480715,422736081,805996196,793589789,856581890,561842743,353465053,39133127,85230213,329079545,55275548,677675112,257025525,883975814,704536425,801303103,618712365,395908805,319044795,952055233,910606518,826565411,200356867,608037858,498455292,970134255,338839518,397178794,862234794,97082413,483604989,757382205,666491826,606948757,790183583,902178932,344908722,174506800,873042807,748384559,914883879,556988886,19707308,820079746,992717644,132689692,764892644,621734646,336626291,685323659,904122876,831427268,663429281,556288880,386481658,317343377,490720184,762243254,755511594,934658630,997732619,559096976,506329727,246861293,500756815,454165964,28052999,252975746,555568850,996224232,36576431,641577844,967709774,817682973,789354099,88071654,516105950,911148441,354644128,431732829,64275907,928787475,366980244,204020300,241937554,613501692,736798555,539599850,78006767,309755482,231388479,738373856,223982168,284090605,203372172,197456543,162067322,395990965,750549652,994801286,566059177,297123330,883381832,684351869,153961313,915312875,22721509,337175844,643329057,713595604,291564721,676303368,549034608,81395479,553929469,214060126,1029583,524206988,813036369,769172366,165194077,313376366,502379858,107844553,92548988,65443299,450581244,427838475,102304873,843569048,487892343,920103589,216166967,34278329,299459157,578814462,848327647,108446701,382738630,113794782,123116233,689424553,614233790,501727886,726348979,62688403,264819659,10136182,228847810,772624788,20472823,363663608,814273889,204446917,915215338,974066569,258749485,629758716,542414270,445752218,303913029,438949846,512517259,134292603,847405242,169063776,282323951,885631239,477835165,483224783,939707557,797066191,893398664,859857487,994832155,336009334,831772370,779205891,499925574,473169465,200126511,851924593,269575133,126301593,525422348,40271292,51895092,660112941,391620661,835955351,466149902,50116952,740155238,899805505,253352349,837231837,265027343,199480759,691120059,788948306,607247576,165538620,873512678,623455768,819444741,595287256,947922041,326462531,373174830,812049219,897382613,398991397,482803763,743892995,700456812,568397645,390697448,570389764,258763728,349104835,348576360,517544542,368656049,793263549,132224059,499335499,630671522,381895253,38013230,960756510,718529757,405472687,849808641,454277416,365816955,438542796,726366258,558400119,250673195,26392865,571592525,347809294,844006044,984377169,436211774,609819842,221006792,356267406,759051001,549404900,971675571,583018494,612373244,467784740,197898351,170571231,266492929,818350935,188961635,154447928,980695873,474888976,449981565,540045475,923372488,970318479,937107449,927444914,641877117,586411631,743208361,463251508,738868453,656639117,381863005,750689770,190232977,466457833,880470255,921193273,638859999,79179216,666235349,603825134,645004915,199053719,222270308,195242620,584773589,129602716,999970134,965958189,50233019,204581605,514177962,801418967,349096876,437007043,696874279,454942869,446278432,255728452,317795954,57244220,815486881,758015678,409496625,479029996,737111165,989260795,599515069,423297131,153674739,35705330,628980536,960480772,641055015,719101866,84222850,90241041,499186039,298154557,473531982,487430621,63280298,3667743,303836336,363120326,259372254,730068192,264629856,617006795,372506776,455434497,606415223,172223327,577118158,225144301,911356451,901416976,547205404,495697065,475332061,529274056,958172747,453679069,51968705,753594053,950398232,245909563,619499106,26856622,413582687,303664036,331925226,353094350,873299542,162029097,405897126,108137676,812406113,668826721,261385555,157356200,867868674,33671962,772597645,926994122,768320427,908356500,997039290,140085145,443553926,998262743,191017610,22967719,72328040,693591425,81504653,656271910,654845861,957828571,891194798,823431160,264225635,740562467,306566928,643757593,310501191,310442803,962321158,574886071,423249947,974109728,528031610,47658248,910884070,844287025,270786160,347519770,26624165,511066741,966172820,21043815,337959945,968224979,373025435,218406019,138167711,557266252,312820107,20752134,421978623,859167915,302080362,451009568,679245748,154312601,889650242,71880242,618973157,294369986,3132837,967757557,263675359,847066591,379583446,624107835,78543969,881633582,47288676,853649256,910268841,578672830,413635229,673403941,464805031,828468655,165198672,418292597,679174311,164366083,134512055,145818049,826059545,342064142,111446462,48122276,714382604,441445256,943750268,571768581,136018635,187644319,755907251,65575997,422536029,303484571,744311318,820818711,486056402,924364450,784907380,176016273,43529120,878737584,339098936,704342167,452633217,16544268,54737028,661604787,127282809,959020368,747437709,293908004,981656425,15480714,28417854,792548595,91612921,453473613,259964974,267026395,372057541,573895214,804326076,587470228,269729041,723908238,853433588,976274272,795066001,460428912,874526302,285260249,621420986,682968239,44989433,394071893,53194464,606182771,14619781,310246532,220168351,100437291,314054631,807375075,492179756,997937382,47823793,873226831,919774859,701049883,988150835,466569589,607683131,769909548,508917733,737024072,776102385,273083066,593327258,779776598,3148777,556641527,786205334,104806453,570513293,465625414,358464159,694613427,289477265,574043257,528896410,754731626,440267685,658186964,473453267,645002088,760168168,79896964,486822901,504673673,41878941,71792760,479403213,132130855,274910856,348773045,213489497,544279947,537350164,40931800,674503136,511639378,587013116,261225389,800766927,763984733,671370680,120833663,924869237,107892284,565988401,943079096,158784286,244297833,500527267,524721037,532677338,251803295,335260529,284844198,752517155,124363465,710552459,332085986,79092330,751263458,551077211,73414440,643730784,389668684,340316086,831210441,267281839,622879012,438515497,390822591,320749978,890562676,803885122,910755593,512062404,720873969,894084459,628884045,982391617,278350352,535939301,200701051,795800066,622940788,743493482,98522656,693357568,405332838,377272662,607869130,483994213,459432220,87985441,941062596,866534053,980379818,191531664,562473589,162655587,397516031,611580019,331477204,95015624,465362285,202721448,520936623,731475497,318086982,265108273,990136136,835194661,780111882,121260507,88857256,996759562,776559982,46526888,616335369,519110347,937557680,639772917,942290618,289797867,880600726,445952974,704760491,404449045,275747462,505402523,5990106,302393344,630314978,859479603,236913322,343791218,451726654,195935068,10236036,61973998,968640208,193712913,520009635,795118110,6173351,310094144,344296550,729377633,534602065,761823237,695295524,68291470,41748188,84897716,358277357,939757181,249391120,488878174,861289412,5196668,478317741,565114580,107510506,737618625,471462912,591103894,228963424,283224790,621236765,222867756,489617399,638329380,972272505,398391465,271170678,149837526,678867865,553424057,394166688,371382438,245822891,369182065,635850771,286409873,210239318,79061340,868431399,345094203,197021628,95345090,178470248,350494693,224568562,503752723,443789166,226410346,600605603,674328975,881252885,25815293,703715792,388104418,673778929,878732457,412131201,536477784,534127503,628545107,804827436,899542643,120606461,271695886,603161262,605982580,384990338,384084683,34183036,50053457,242032862,465621844,927037988,787980469,408634719,484860233,30891031,222640075,804701580,739725524,173141450,515495560,166375320,150455553,635583748,192596914,408647982,273144891,356685517,241334250,199629196,522455205,737241978,515720430,178366604,880254257,122448141,795859798,930216495,762179922,906200448,213157269,710197716,20771653,320065923,5170704,818344462,815145313,140235481,306949005,589840447,869064934,348140943,465030676,246362399,799672205,821615727,551498413,277260682,579970803,566651583,42593005,74777112,967429344,195501346,922716081,421289206,739420906,64363054,283561643,275962780,494774437,789068205,405024194,483862352,574899559,401757846,173197963,761950362,586751288,797332811,420179009,214293185,166939136,88288917,246795739,502624802,823131100,691076712,468242046,943453946,800375900,408857284,833916359,190523170,938467185,331005919,207920874,409950005,646392553,981101106,943435167,481180073,686764310,767123520,692312353,774321255,921967814,809001619,161139938,441764148,582022521,101499238,769939564,533840386,531579777,323668285,736056274,840666616,657510840,848091829,460851996,977898731,559440571,672894916,320328404,729857010,428849865,39082340,460149621,838407309,701979557,316205536,335721415,727435818,163661839,483536953,965923311,482211940,924904721,770958265,646798995,616312214,479728902,846291599,643695215,569078529,183678424,956811652,357281682,158565183,389459215,506802653,694834972,569030765,962594766,197568975,696617831,684798653,897889752,159638959,269150986,384947930,941378817,32089227,143966079,609885071,310665929,203389004,880013582,743770857,274642086,698244648,777801645,213057204,971672669,316603568,108031716,706496125,822259355,656198548,78086070,551809815,94347256,571278897,790215185,47705922,71968170,639287111,385332839,647468497,879013699,474819,229566440,55433383,49635426,723430416,504241394,950623050,468188022,595692967,100689008,417117000,602637805,712672849,274830924,420749934,794427799,677488576,946444288,395791008,185020432,647004676,73064760,139983040,787498235,688419272,117376050,261963995,45373969,365604656,233414722,229962253,787056207,786475799,143330781,578170280,766694378,628584554,940570718,960758338,863999198,843329977,977362283,330390645,604002101,778730111,700354102,882215683,491049815,695211877,25273529,490965043,587189988,894285533,205535004,421019025,266038175,605854002,349813868,972233664,107248036,885875301,959306383,227029453,126261119,718053567,484030383,442840603,666959150,313955655,26705224,509065208,250175896,528714339,448519785,608417163,774888833,846182275,581564098,380486443,689777931,223153498,914836395,264017247,117781674,871096127,317419173,151071419,363560404,707465846,650602218,798964735,935485103,723848140,234586941,618372979,150356020,178471720,481654887,247048784,737967599,955165951,18426398,453713156,508573256,527643180,35902083,964802851,177358694,926352082,230659029,566442862,596223563,975248374,322395264,711042483,31877419,117055455,81068688,840898436,113340682,16942018,652701609,219888807,542743087,30097105,276088300,378988170,237630635,146276538,988310249,83514882,629817785,214085132,43354895,457226665,667591998,132693644,70064664,866199459,44502383,798469421,598574541,812210278,345691839,231217461,176064824,415685599,125360264,695401054,109392523,118624825,787709111,702504265,966030590,434722431,174003413,21423265,888668493,825099902,747308511,145109983,441290905,635269413,225709091,255811932,630763450,957003062,271614243,238057113,799838270,514105866,339502471,822050487,35718792,121798020,206005197,972279936,859865053,107969471,256927075,280127701,121255451,280256675,334189811,305041154,886286835,399829563,842272948,424051348,655836312,981162283,206349521,717556514,845106700,658131468,635666348,875715857,610472065,152940338,10769513,439985599,793552322,651106539,354535216,49423594,194181187,909819031,136924816,354824876,534431338,933938079,534886236,946137316,526200772,208675999,734073212,572187226,70071580,179946096,699313791,178447352,930796746,575050434,842149214,924900139,576435589,523898250,24386557,140794893,654282063,321944122,769650994,147540660,5697624,899154054,158321670,714222303,691720688,747091974,994904044,732136011,222129723,712793727,176482280,335966037,247071565,443339667,976089952,851321071,183452925,22259808,163371403,266303530,632365062,877258175,477839496,387700965,726388647,423064365,958702329,161883994,29690117,684258595,979291243,726287938,613282828,854452428,975503689,190855442,67687636,961216136,631337984,667140838,21575952,814611482,693771581,339989465,310008587,65439909,790424391,84458477,712782284,224104358,278389588,936843264,489593234,836398727,301304376,461312334,611636048,337159007,623030116,465615300,548885173,177563731,605279600,784132904,654544359,426207401,713432644,888382607,676834909,957891676,694119415,948702394,364534663,701826428,475185507,497188134,943449211,567925103,516510185,71682449,394336032,686011513,342011286,391274054,278094928,565612252,588356905,232538879,246074463,115803067,220596762,841581547,237490814,880073478,740278801,990336857,652211824,207942969,723614743,62693851,20327856,275464249,635469666,572776709,126546937,799866398,448696935,931213540,687824346,365929233,2053223,626886257,908960575,751307781,244075911,439316330,787851180,243741001,181877165,212687295,250383702,540528166,217813528,166153717,175349348,718000239,837914422,805251931,441416588,686816919,656447579,524584845,984955876,33671691,254188249,673365282,244703341,397145880,437814423,593206321,540310768,329893552,240026886,429401491,560755555,328945660,772674438,241598062,712186625,543770198,683523392,936172872,217388681,881256393,16830693,177459922,857307961,133514862,125024437,952179717,81901735,975807830,107901631,380931548,308714936,936549133,373769169,646779658,627474307,927773117,850430874,247160966,32778553,290958478,857813439,20636022,272995014,47241802,452131722,355217295,128274565,475428658,313523209,715590046,703623633,891588081,975003476,451195438,950365554,751444459,223829899,932568,24086733,997041092,961159186,468821683,496100171,164902682,259713050,144698734,32134691,985488502,46053888,444376259,718688528,886025773,248825898,248231911,436210444,302063961,36613674,100142069,405412960,16817911,270939313,863748780,782779308,476863017,438373876,738855865,531345742,583557995,765481398,256012346,744142518,507263450,25378357,837337127,346107352,309853101,194201382,654593740,45413601,378099023,798805894,696003855,97624017,839409593,857756040,326085586,570494453,829143178,755607350,418912574,624261943,189916293,559793239,448378029,610113729,701640032,239506906,370132670,216923871,503275052,636732594,289395910,295581947,871058864,392627315,469501598,254218363,782687545,518696883,412668276,141950152,674310632,276205980,904053237,649759320,472168606,771631392,237898635,436502365,512737339,716812848,969417993,991929312,657605570,203529344,232312059,559653774,511913864,661022141,902995986,105710572,582166281,608880596,828852217,251459919,297705125,401777684,366811408,422175629,562790119,148074678,846368494,933896857,904998396,31627529,404704403,934812370,518281257,289780699,366351383,678352784,915715604,173940703,139205886,160978464,159443480,991666438,733165363,680841872,796572076,789460669,556729601,641797695,18167140,90168910,851224977,657419727,114442594,509532254,888107870,34934140,16229164,612938374,328750374,652761236,857261256,187001174,125483294,337853717,201892771,69378062,908432279,240643537,795447968,726500815,352173812,953996079,683077433,920792886,556034830,801272578,148204342,766693250,544574657,773475996,493978814,429888870,252137705,660702463,314971045,927000093,399759496,942883349,945569157,452203324,753882962,39658626,861448215,131993800,316844327,880360969,700516282,834299971,2390045,24587586,242641000,782666967,506101596,921765653,297791704,817888245,978488676,945060583,672242654,954174968,104277823,383822861,105871305,51120674,867231035,167886727,997497451,917766482,994112378,312995438,866935977,478750872,859864384,107484218,463349007,798293718,672467112,85007489,421658114,530800955,410179511,575990490,190074907,968465168,741619989,694381130,25056808,237888809,166055166,634440465,95448884,120840486,187143398,556101897,153082477,697723485,581132005,132706122,597516453,162324831,674695841,969706466,860797918,594141913,194508071,555005941,77494402,129875785,117470207,343726690,261913344,421145425,652681408,898601179,134947368,185531862,922455891,993647208,547227817,640264941,475087705,629496561,226019815,678020333,236477962,791787409,641197247,118984411,160268209,667393706,152104060,677530025,127179496,709596345,71830148,93188926,176105288,746200981,300681468,817984475,404155263,467789638,130847810,503333987,442143760,42516390,997047347,395296136,121953134,345323133,469682553,363512043,759311644,709359054,982521659,851986742,171496031,682091849,508035342,859286783,643931777,157236269,477647717,166085004,722579272,748027468,496921621,425306271,56460017,151303918,755080160,279256672,227574876,16920993,237875084,407857424,63952313,837039229,654836389,433857032,285422046,376552965,882811803,552255329,419077537,470042296,253731241,72034593,429012430,860816187,314969002,339096458,313203811,825557332,77805563,423545773,472199798,950303581,914701389,622022737,942687380,635283630,174247379,453269500,682371585,995462949,384579795,323560956,429244367,249952353,152914488,702217307,198006366,769376045,500446061,831291705,596830753,414073223,289909077,667922324,83010679,500824587,587018739,738367386,172762335,98592425,84623223,264478025,671149297,175479375,696715034,684972882,480974093,855886456,482943954,598234149,172973180,428123645,639537402,286581942,91256900,158507754,870610752,38257658,868150238,146350056,547824412,400211160,376984086,111790599,892390107,436845036,945418013,321578301,522500443,973840201,495795310,172701803,497025329,549532880,585031586,268462585,28850932,306575834,329531346,644293431,910620621,188297542,567667286,134973418,377218507,169385488,959675015,780033530,686766625,771756327,451873460,725246748,948132693,714235952,58219198,182581539,871339263,251662230,390162300,206753362,996175136,78316066,134614369,520749387,894919602,461380291,531962253,647286150,65340310,701288768,2921841,336309996,329939561,761650007,748996323,575843864,842077096,6993788,215382838,489077595,101446301,74967471,741394266,894600557,880908037,354994785,437953348,31796653,480624591,651487197,803289400,909192009,644685447,943924986,463148244,417164605,494797876,26415924,374491051,657552247,494207716,46757841,237396748,569342668,322575053,526927666,800478006,225456051,586439460,330777277,548699151,147109473,691875374,309265165,960473003,82074737,161198297,506873213,22088830,504604167,165179104,40567993,374757030,465938377,360191472,202175185,173392799,114665724,562688824,86906781,449429624,793793612,341428026,911351165,363735090,386228142,379036790,374858679,173138815,846661075,399896092,303908836,558207450,405212689,563117315,574506735,367277729,186181511,304275957,125253927,201184901,172764816,633071616,18228695,191110523,83822766,170548392,106591641,948081276,317468612,841011521,949512935,450286781,518783474,599543883,870667826,468142316,801950169,347827379,390022414,164330383,857308635,568863533,305017649,418724381,37466849,762060078,853188133,81869546,154868006,552536051,601208878,534306146,368993056,794258316,992556723,60593559,582834420,327556705,243328030,148718277,387569811,934289187,73025211,68156096,667547910,906360413,937245665,898194774,772173656,378648639,21728081,212758620,155014187,829477567,90665635,210270110,147150037,74076575,638144688,931009703,688688730,119254181,140060885,257662338,202162732,322070921,559344556,235898513,776131614,718544612,782366569,524848084,281248351,146041453,475686813,350682414,79458615,90158529,328207548,326297532,12590192,185141375,58642356,841379988,615941862,142561788,475858309,363831118,770489347,381593028,134377733,335933734,22773633,385017363,939631378,249906010,806483139,115564447,529443122,61868479,478196910,119499794,728210282,532169554,408192404,945683569,969372995,173824942,162475143,25483873,67364572,43523643,349786713,185217021,839108952,827544284,138283401,449778489,275226028,665891234,696746612,92061760,704966768,561527910,214262485,82723536,147804570,360482843,215656052,675794614,705531899,958443571,826005136,709603941,645720308,639796062,227728059,298177492,623507842,461719658,58455899,887525459,115768428,992499276,522923444,239330253,241529911,240037491,653168169,192236885,353807552,545874745,306803682,33225978,683026170,799840669,225769538,657201408,792059566,636480042,256174319,926153066,196996619,433259347,536959537,555239707,504681861,521027554,572909195,926632720,613757564,799922825,656160426,853646302,304546885,924700588,444972969,982588341,921014669,621786721,764695967,942509676,362267422,486813154,900610444,609460336,861646296,998665057,438902376,391512054,24365420,335929992,375176394,842737796,835430423,566770338,860301698,623154136,435257796,484249021,368162132,336192472,811936726,257895890,402124446,257386914,91623178,50120098,99225201,79204999,50169195,451772892,238660591,390041067,620024254,817660275,927730343,258573729,270059533,148544460,771031637,136209646,941400895,739762794,381381441,328795222,565593734,795927437,398332956,809484676,521018756,862242500,843078520,659334479,900312741,4546535,894696467,138027774,799927174,429868598,973739591,231987266,760360819,483605855,46062837,331046640,137306217,650665303,731660714,930346731,661626285,785510359,520955060,362258551,430444,708797497,254751385,985049799,765805107,562110834,598861304,234167252,374603604,271289826,337107575,533130098,390975048,542060877,607424388,320661448,449551351,104623404,630633144,863374218,927831650,46466675,851355121,69450494,507162300,354110002,662901268,331164902,741035059,85656378,387244694,128087733,417672297,622534218,531867296,419116948,680098259,426719542,762681129,33216737,769071272,757078138,370817494,360853768,73231408,466951809,103465742,187452234,373775765,899510466,741160667,302459525,489570216,194156998,413854778,470876855,9344347,311581419,425305137,647881409,863270455,492248097,106460509,926546929,804812870,732915392,450931185,785666398,532334683,65876972,979656592,919383540,831745720,77745461,60221636,690846033,579534977,902419931,630326662,594168420,356547642,554065279,138618844,496838004,740457307,935112395,753300567,481880920,523094111,137032378,747935064,464768117,740549173,705850608,996794061,612848867,728769289,882454768,945726178,338876332,840641174,299712055,538372906,123306261,107901338,561172934,763994914,427260042,832095400,881402757,706884759,277793946,208301942,540802443,138208743,229741417,884534816,997309574,915830288,345310362,481461958,151410834,725967056,228529339,696073415,771651291,760920088,898706005,760136536,248705596,747138945,148833661,181865015,861704246,888085101,250737379,496002020,732760453,832177595,821079397,346442896,923946490,407545873,347642559,508686268,762084477,452184697,523382851,130668425,960964395,165234366,477433246,558890579,951934247,264687535,794691581,747131492,744113593,808568492,603326259,522838977,579718225,150581400,259180960,804194318,508193020,775721498,490703202,998066529,151293238,953699382,140021083,584214691,234955870,759539668,937804249,480964392,402872967,14297146,317394305,376458606,358192909,665300754,203857157,2537787,505757957,464750115,869053089,924973041,465343813,283956523,856861331,873760574,96618303,397221152,189929252,497548463,989941701,848293074,339944593,944396836,312410650,187977308,67641374,56412432,578521856,78189752,769409679,792868285,342065721,859096865,618841702,635215588,365768059,984295959,79807804,171841219,928335981,502351801,55596915,9329444,264279575,543971160,918784838,912751667,302901153,994304106,371005700,185068122,469793634,812799295,693836133,511599547,7020636,522401532,87255130,143464402,743080251,803022592,435429013,752377992,536466256,573040946,348581226,534637752,903834368,632901180,209629009,226504595,683495778,137635280,667746476,102600186,257971611,729183647,606198649,730745044,290415263,999582515,906861780,630115984,830877405,719005346,382946381,345709305,636798390,477365459,792676008,606619821,561159895,536629381,524500206,12657640,148527931,292234292,480784360,532678523,540134186,671872508,555212654,465234703,31309666,529294837,966306736,544947567,114866766,36918679,434402941,826282151,506492560,742616890,66518472,902213140,398199551,619248374,407311089,532501229,911601290,951342188,946673948,3489547,569420136,292652731,334676511,607154937,82989062,785917518,522642677,868480025,606469484,15163149,603265611,921390363,142993439,31091322,352082009,198131027,497135237,924503577,887749018,260060250,474589637,582920218,135168810,307221675,750053358,252527291,57575871,358456715,459435296,199258252,423598607,776552944,596484693,4659253,759187480,346576223,951240952,288181201,999793404,846754321,577586476,281923166,523806504,993627722,261695575,76751819,488303642,918171506,57307341,926081655,819605794,395259729,283184801,847914162,679638098,625704556,794565986,136807078,797327596,244125396,825632231,535005068,148616822,364307201,787159611,120268515,237496999,724444323,471410143,201900655,186584042,209304545,32893109,744174619,86113303,172078727,838547720,173355122,132050108,864615849,622774824,920521259,434235822,576046766,447401221,311311058,27833745,3315810,338224143,74525666,30456560,35732148,138703640,464126587,358715191,327680600,101855122,72043779,776541624,815561232,246272235,747802497,182560708,218064557,657509886,67363686,225855540,542228353,809655987,345971543,161575631,384860044,960957067,859974286,443046604,127481904,292070612,742822210,579032061,148784930,495001182,981127115,192165566,313826231,926018367,926741440,411976507,32888672,264323297,688953091,703219983,910207425,404302366,173034259,392063327,634545310,402595138,883709030,609922214,805362501,600651196,480054806,829569679,356775664,315424491,658707429,128893240,774978688,408515427,533189623,861218776,914251327,951699258,83042959,377826609,512605907,971484453,310484571,386790272,827112343,184068727,387827907,939616879,955733570,689955168,904481086,758158714,167633397,639937474,232429141,81849297,999611815,153933765,473088159,262695197,391860051,713210863,362912785,922040160,308770874,554329574,643956647,470658298,531761690,541669159,464743740,742834201,937894411,165753613,361459163,929042673,851527686,378776718,586256033,368114238,358578696,790298912,704452703,570548812,936563430,898337666,773881724,332244691,491417236,368429036,44818062,506908588,483563127,900532285,935416337,243734018,865132997,271088203,42350269,489224031,147578598,292656519,284622587,928806080,148540941,366442025,349425442,795216291,55128573,101785395,998467658,381330123,849072808,337407574,117776242,864388937,14426344,401590769,763697975,286554770,529102332,564812194,525614028,781373615,709604252,466627912,568191606,948061833,894313503,261133659,266772125,142330325,150546359,733489209,290605388,981211945,952990165,537078882,692045038,782477825,7384379,300586464,20684335,564298757,611810844,902077436,535689825,787377882,987204556,132196148,385526839,392701902,631983041,268029246,943087957,548096225,233965031,852978541,750119142,248081047,423831132,203804983,561451936,622267015,927885973,306757580,619368790,994451595,663804613,545276237,563175555,116096580,972097057,923009568,376837530,300205274,749285296,98592441,785549582,31170969,853546481,668350998,455289311,11570424,743387457,707511167,348882754,172619954,372708412,972041870,712974950,346400108,273697351,753243296,537736159,913500283,726658946,531871731,505308041,545953252,782904417,891585084,433627630,692819713,811756247,594735726,593179207,174481984,439208784,473838655,931104947,819569220,364687719,307091330,152992154,778965411,70008022,858001317,701273070,800318140,686353928,455236499,960587319,837135748,23033324,448733118,988814103,368637194,929022977,983820479,468624373,529622554,54265359,693686093,586898227,525558570,752614722,739699857,900736607,316633860,734801657,408492474,921326165,153545320,100666570,798440233,65086200,337653083,289486764,359738895,152653712,150038006,659282004,748049998,796398617,633206511,368936219,390622841,953054045,324413269,856715395,587876650,463510625,498168333,724607967,105908302,983322076,183852331,240032408,362025768,69532121,312106189,6976115,343111377,191411125,692079552,168295145,60869490,580471168,146056223,806158778,552740516,804552812,295633386,697567156,386873012,587801028,180313774,973932128,679779322,109642043,220805832,324914313,591026687,359282024,502418639,514090714,143735026,278152243,760941011,737088487,465386552,939429334,734549724,593327796,469949296,916584529,669348786,181105413,860784898,177256286,790373768,165710614,160941365,448566165,232291363,97360780,200355626,960692337,333438664,351214363,55396128,859848795,241957996,132883384,157016800,902918308,160285814,39327559,472002100,871733043,678655633,447188867,307765163,380480662,645653370,272819082,48618364,540404861,390015919,929841222,90637755,874431330,549450830,792920922,236915471,988975483,70642015,870384664,441175914,143321101,886005383,143996174,336918263,463967985,440209484,83814922,753215934,381025259,443702872,328182348,365558654,106173553,190221224,838182002,873571967,300297228,969466036,985200568,192121969,373794360,440545410,622830561,963023399,519275269,515148896,549251011,835005796,858221835,208080003,634896921,527642309,430653849,937502324,543424954,288596549,849912046,763392655,426659562,583854054,213340960,339360710,441625836,438417070,608867048,736407610,707179452,585247913,33618873,954189456,581685223,578856643,499272296,277025268,291365709,297306872,137304232,517574090,556180295,334106705,156208515,887848946,22190045,799627073,840783171,259216736,464022750,754993013,802922363,437544373,471047180,783997981,383678880,994758943,432232076,568516993,569227698,56076404,577736470,616873659,62903022,534094955,838752546,18461256,530085745,488340541,467292489,705969930,995352663,170056798,290188835,237834301,888311774,968347677,319347422,318991644,643920433,441526449,179104338,589373578,245497220,161743446,720970751,828435313,696435840,10910918,90019267,874673722,164281563,926728909,37402580,330174751,699225650,411822758,16422681,604450824,406198713,985832569,856436104,321748864,593992021,103153241,593759034,316477763,899445920,797751181,261364498,359642242,853364879,386834538,881994851,859237396,465231619,777624279,637982356,21975150,350558218,360359366,103435568,941206151,718823880,556739335,52140885,641002407,141156012,211177431,490892171,890395219,479678772,496466921,723343490,5575014,151045353,813393583,938384101,741473145,946358568,693808562,558457699,691246275,962741524,459647351,156173685,462047687,149877049,815818893,977269899,187977746,943658597,214410271,332927349,918391399,680776036,290533981,821447543,169145596,708668825,151855033,90872537,880746529,251862564,970262298,435204075,855612714,384924750,475325868,979103170,415518196,368560062,334413265,147072057,199695724,796087006,546571039,871032754,282098848,281356002,57705305,492437763,572715515,531930672,385118161,271977065,227695784,491063490,891523751,711944931,548493093,242809237,463360090,25609939,596883499,122702736,679328193,541590417,897605195,784034284,566266217,838174210,987127862,186202747,611923737,10786901,235691190,578877026,157935828,186909870,265568128,514133804,576536566,844251987,739226238,93586766,195634136,672324743,441433748,178137989,670678808,310792565,531230523,797698100,685664974,836270614,80825256,935412140,30182119,290100737,399159858,250867787,60499126,60893079,895758569,759630979,209679371,147234962,192983216,336734179,641190788,218803753,836495529,697086796,69709590,466399811,463497675,962431339,855253778,205848600,650856665,300218028,620866228,252678536,566373393,664939516,657825782,328058215,756526842,880336595,836774095,981038499,50863285,335359838,213554189,882872497,960308938,255286736,976561121,349614818,982093607,994741338,903063645,49583351,350151087,713557257,68410914,313456411,656733632,619282563,832167661,92021600,336447619,727461282,76646117,334358270,337198330,140932798,166090209,173527799,883361171,119828921,66134120,322874673,986111699,344602195,215248502,449176224,276149440,602945691,64799117,98869846,604889311,854275256,601148626,726948686,906872933,928314663,800792606,704801016,568639149,383796961,848147918,507993710,376159438,289966358,923881701,937874538,166751778,205267078,79771387,982258111,952875031,962761435,141593639,414479701,532283024,283975085,340645540,491056088,474908665,639518125,158501447,419635491,383098723,631784845,501504284,887212575,964774395,615209831,999233560,763767416,149082431,70763103,115030657,599982493,569779811,7028724,132266735,507000700,753487373,453129007,619311309,400104940,934477582,756852663,938693160,297603918,41428249,769432013,770919433,880220045,108832111,856654405,822460990,444099539,765985351,541704445,659139227,419539079,436609583,562231037,70987482,615827124,782387992,833864145,788118175,616848003,583841824,872602066,597290616,28532339,233888812,718386275,488293222,405414770,107461697,616691384,697164613,724920976,326601578,510583891,864587038,738795575,669715256,671697049,454114342,646115064,36753808,764075544,469908780,748347267,999261756,486078165,610465882,595880113,79448527,600423849,892405858,197007609,847516391,270291663,921157202,619844161,487595440,136042957,205648567,683546128,315910276,431249888,959070058,843829366,697738403,326573055,708112024,882162891,552732300,969477687,919669977,577936631,585966407,926460156,857508081,676403431,197202501,652013807,478614987,559497731,341651193,195191395,488594979,703211053,165341756,906142481,292084696,615463509,618228990,552519620,531491759,306831921,722567092,645303904,277478012,450682211,898367516,72058684,500334307,575384738,456178382,327594383,743592973,996449644,345007412,691174351,30600114,875427987,744228945,521419564,407530028,677625356,907585339,31013652,253778672,109597141,664090339,375949512,10159257,368304795,554114605,977977756,674023777,482917202,861621751,481902756,664785386,486167657,405414970,736476425,61015990,831984389,312371054,816674110,222733564,180566652,698158443,378484619,150013547,79625341,802732791,726720272,930730374,248129713,381072985,970652006,904111638,301635787,205800724,251925163,727932004,742200255,662708133,87259305,249874101,742783418,548777916,747537650,537207025,115391342,186168306,129834595,731541131,172817269,210897938,580929538,934148815,326873979,45880246,761634460,759070510,825136576,483869540,445648461,783171460,562381775,736635581,291095356,295968974,590652222,505338102,580525909,323121504,72910151,601420103,396221761,427838409,944072551,981077005,208850058,686320627,423714246,517565118,434472814,146025103,838733092,550486522,322576509,274060018,149362446,532441107,188193049,998600213,212979904,426070412,183759625,734085114,404667675,923539566,78341383,969985267,807506811,615361360,495263785,417886699,735514374,13987456,415670857,473473267,339930237,89585419,723520532,214647618,515495219,844398327,697466621,834659741,515485745,793474819,841165598,783121405,130059915,789137472,186094640,596738261,993561331,512883807,263554114,519848933,434153692,622008899,419673224,454732060,159708754,38348117,479781176,499284625,888067780,267146435,62513036,946109138,249807078,217107116,814297851,761139524,378497293,457348187,727861603,996832215,259340172,488438111,210586378,319484377,690443462,633822308,631356551,852325627,871113399,904650441,971975591,207926141,270245251,172925401,15181777,336652880,885461121,159228947,620035981,936932688,858191529,9896751,168845605,562801584,433657591,182839930,400130920,152215166,426582897,930016739,563228661,741447608,554463746,25332863,667822072,514548901,58359018,494800919,222998686,989461484,105724262,543499597,476116921,598024180,481182858,631882311,222757132,300831519,345052233,641633137,674552773,421498643,189433942,136466827,744705535,118438744,489246312,233656048,756236867,74779155,235176059,906589291,566506135,412521115,600625956,154083061,981735981,136129602,98387211,375591548,635958061,274790559,448518396,313518094,857800717,605993596,15447884,272621006,124187483,325430772,92826058,837586159,998305175,516668595,64582348,998701830,960989428,636109612,785883533,567133035,742129337,566659012,216529779,455491595,171061503,444807542,806779366,162446093,145109581,168713434,100662475,969680682,144646927,275668537,452993593,742372181,985466796,316852186,492182759,148014244,711391363,454636125,47596124,867461713,864229826,314324858,706106121,753266844,376808277,283730412,837763349,394938644,363313185,537395046,459463961,204779357,726861414,380612253,384029618,589294402,399547522,467411206,892236031,171050155,590028002,103387382,629690080,805395014,422947072,705076762,92644958,603177096,141213642,329794242,176914774,931278524,822499819,873193415,443863583,479609661,693357233,38098964,364877528,871551457,726126803,238463909,727643975,426556602,288959041,941449184,518093740,238104667,189383576,786947827,132075658,121196326,767801986,683337924,855395332,361083683,529157569,685403735,39561231,389329136,15712411,454444807,420958612,496216943,599522405,90466094,777721992,38424129,923838186,580691169,425491997,918152906,272600622,116892578,278311114,710220426,823861300,880849959,763300524,628321595,560531612,302300511,378213951,833084264,325870331,850451252,359430513,323689001,190706320,622852217,50554328,595669296,934847430,891683275,5900879,841015915,54593795,559767624,831819467,223165046,576789703,513262642,946427613,863526652,295707833,183908360,480848400,686383806,946172830,215327513,881662550,264037886,918639149,851649193,175515540,752702286,262372706,558189581,963081953,234577763,300380744,644267786,979814849,823266768,795530277,6728557,923226163,383664867,15601581,348718733,184797403,785997609,413272067,242602900,106837045,898947432,473678133,723977431,769952878,386656480,59588996,262342840,482463914,368070846,28936275,637469017,760199095,160193144,990598129,327732191,96712132,545573759,105628870,748870511,886456091,495694939,4748788,917731239,696703153,760778742,464864061,562250007,180601434,690306033,264292000,755162565,751910290,152330738,471406964,520051007,431262608,869287489,558604664,44601752,755977033,482927789,58617493,974870791,36478812,922213904,213032063,444965951,390117392,215799152,85756782,134140803,430771310,163781821,64209941,551403399,569625558,267617159,672455767,591604607,621182131,101723902,922702678,452821175,512946800,424192428,555152494,791037774,516330924,215523184,591206380,146045520,576381483,79145897,64968289,564056672,101100546,950261941,329297182,284682611,923524085,881334633,133099915,632662202,161030795,816095861,98825160,989055459,120933761,236651295,930696083,167574638,813641653,221158219,697040754,438958669,497364058,478148310,200089678,736866228,148512300,603478327,984587667,390792129,74576650,850380598,163904710,549573146,324397856,558850560,926022818,869008462,546158153,149498924,257923602,823736354,589634072,995104244,777948221,782864030,629522915,809714646,628847804,638048889,127714928,612254149,99388306,132571236,645208670,283193544,387930477,803140439,606071833,343060020,678920279,461089344,647114388,192280669,551612045,884022047,557227009,193917434,481696344,669505102,187957502,74533246,668247094,169166721,372462179,50940488,286735152,459731413,611772880,368788054,615545022,859900048,135848442,978937468,519230046,270532011,413252664,474954309,794047031,993459706,348735789,978203251,716179165,362553195,719153047,691036575,698579889,178832738,241695475,552314679,436133743,246780809,406058224,508731644,917321466,569280302,758529609,199454167,556234331,694362381,866075091,379865168,625016407,715557594,129290654,611128004,783085567,426554812,487340154,850380197,253532739,956266111,792760196,606137546,246424790,638389017,848248437,8397469,381740671,728614230,522688754,880937028,226148759,593137689,143368296,77777770,412056677,993183684,841839466,11825131,767282522,123825091,21385936,130853826,36722913,488187862,248739575,241729409,808621378,246975624,873342769,932893490,462345502,746048129,356562398,619963851,936759093,111829358,508029294,818482096,81367826,928378690,125670481,240336674,173976984,745296673,674005265,648492491,99092211,972465182,262823109,791560895,443284003,681384203,629435423,754546657,178072640,119290796,848166360,651378992,283931406,403783173,27507743,260067152,496618815,995913203,166073410,179225065,503298655,756498528,682901327,531106497,4349416,71627,198113784,888248101,758252159,770277083,906755704,537938951,820809038,263676145,184932210,274840034,65286031,18115013,62286842,663137301,738105553,473176266,360693455,724663637,882070169,306597286,401044896,590269045,636720374,39882710,104772641,640752367,154880716,470113561,277481007,5426612,259552287,494570368,310680251,109282774,539641229,996466203,518432046,912919211,172359426,895487216,317870657,454789381,493968236,308090551,864863101,503411014,414727903,72211299,299502677,635970360,725363961,364733104,190695709,859905896,318511715,194680847,661377515,311974022,104211013,557970519,138960626,435243662,235582851,825232971,341490126,556907031,358519387,416160145,307606193,343868939,548120998,791719098,884943199,364238645,13832787,510493340,152015874,26184973,651361671,572844238,925369899,97719759,481792726,954350343,962070184,178587268,639221883,478377747,879313196,220147119,818647862,65855531,27395569,94059410,657771435,721348465,426956289,611820548,334048530,28844581,819673670,311728486,601763717,962067779,458920797,303993498,659045004,888093834,870079863,278698184,809650429,671738318,927727926,947026591,879568572,74943796,653013322,376410158,983385571,118895072,432432614,705446142,520591570,684212485,244691742,909748538,391665544,277161396,519694827,874304712,284620170,106508836,839949459,266579021,489014321,621127008,475660424,776677565,386575564,12471060,52907084,81922209,474827042,687394029,984774765,416911248,85736670,66276353,40855538,112756094,439084133,207718326,231323355,519329985,176742867,889461107,453350857,451768693,365977305,446659228,209053182,772966030,344608783,330476236,548446049,151251983,531447902,972616941,979858963,522680144,229873574,937044459,229209471,55833958,39294961,802972223,34842370,983639228,62061138,10920891,128578483,861056237,435623049,301952095,345144589,110286233,867601119,848126981,531963348,859915530,708489800,2441070,229553688,266838501,772899334,192225112,418778542,460405584,662995858,996213351,78697609,613601039,42084236,143602569,217732188,43160513,204208269,12636466,415757425,590669165,361067484,393888218,301101895,937162978,16461768,302336242,745709970,404853179,818923795,584264649,649739293,508745541,938152798,237585195,28273127,218855308,844763688,785982935,18686035,820386293,295715742,582690865,580984072,417304743,299274074,735146395,777782413,587503135,198392061,341389903,712966755,945329046,520832312,597771037,26306322,178264160,598366709,255835914,213547238,219767683,933552009,254820196,409059083,902557616,439046740,110181803,956151002,789941512,996246792,881151919,799854181,261701124,415194373,542764107,967240518,975764593,693436116,958514302,875347546,798275782,884164883,816435919,296562533,155739327,402326631,475028781,914661061,699502211,979938348,46868776,643063066,384900640,756238626,974862119,596263850,720561048,11035104,491445872,30734351,212009557,561180503,293908160,29416856,105758322,254249772,613763906,69989888,636269888,565018547,752917217,146437249,183394111,301289214,798808054,753484822,925972670,806694211,199202177,721358645,947528209,299986634,954227347,302691509,829745364,741124913,626848764,590124058,212388416,938031742,611602961,346599556,548521920,551123534,925159104,504023207,660152010,461557675,598616118,655403474,743966843,416660637,354901831,162927565,776203206,946998337,597405961,295964973,489155022,562020940,163545046,754122435,290367499,53604900,628731526,143504592,358851520,15746286,614508528,386404296,595239818,977280737,435510824,469573614,79829570,177443076,621907450,723463949,515948562,476660676,179811557,750579534,226358663,466007645,372812925,192865819,5807040,95455526,625624472,243832458,988717529,655605310,393256781,673096728,559971261,970409101,603950155,5974697,402696520,473759155,159808581,306576946,677133095,763955014,566314526,130284264,198394173,285039505,187483337,786891082,392860422,57366596,689699097,144614152,756499980,774302436,474553625,839568136,739738571,74827121,366207886,265727401,861696091,543319501,599984846,74771381,685591075,492515611,605146162,873203266,585117544,622195462,93565395,675293716,99019461,94664567,71245039,880491949,506790439,848189657,800732093,537574860,430527507,611733415,775380702,484537194,859045635,446164870,895083733,316504,243946510,352467441,269602604,270126434,657941733,505293180,559029330,96774500,960028541,122800974,450584684,957828640,954287447,767856198,762967599,984514851,396309809,398991896,860594398,169016830,912930566,450212146,41342043,610141521,710909485,89426554,174206921,175225989,463775426,958645219,693747847,873791316,900502087,980548929,370346229,360965230,767379015,882241157,562921239,567350935,926710531,592260879,20354337,463153485,235184886,461878929,86271418,700782808,584817519,386973833,541392885,466114376,111225663,823701522,251028787,337480052,962719053,259807363,487213258,638359663,62214485,376839032,91432388,487382422,806765258,613903715,451754967,858070970,924397083,494544281,559345079,382639216,826813935,333028226,209178829,437433326,760617107,443580962,356128129,774249164,356854234,196350001,254905565,478320404,30227139,655781299,554802027,650637776,350135639,752627688,655066974,60510811,441992651,948946612,873790570,331316654,680900577,987994584,460854972,577606058,947135165,609591,578921917,246863656,61318949,188234796,788938167,213402915,736452916,114026145,239602063,793328841,150637232,379049599,823928229,282144310,397815948,447261548,294125464,309570413,901649723,83253591,215227861,951199698,94218052,320620574,193327276,719466608,567096384,483406887,942435672,77244863,153198825,450904010,675854873,841627525,596715915,966741776,260746125,378190364,688016088,304103903,783017435,994627214,92713210,495724484,639699352,321108002,390544005,385536555,977966908,780378191,972238118,4095571,538552544,49204349,413014129,581052293,510632640,922349005,695830688,823448412,422753559,880333501,864818788,721147922,627976437,408940982,830754688,754292329,836862233,752073723,102666113,930925087,203218849,758433486,8701030,686106338,825121176,7664782,727514817,998862164,61372229,386231474,314450697,772522139,285427078,239734918,863711529,743678890,151100309,483521005,449497567,106359832,771877885,49269974,942197677,839356444,234933732,755188184,975044361,467430581,681038511,681037302,599564793,603890192,29855375,90750930,298186726,92900204,52587263,871692306,690955412,674305383,143395477,424576464,143249329,814213576,498318747,76328771,468836849,794905920,127086620,282231379,399109042,368160600,651461963,68455784,809263947,353997121,417239842,82295251,560499835,365113717,158367206,791103997,799848786,869954935,602222450,776616157,202330794,752277459,882714991,643546835,11639367,990664578,535467506,57193402,702033444,642974707,246383293,961495061,800631368,92480703,803458153,239839021,522969784,314952741,289030202,290119208,904243737,555694826,392744401,106284532,171045252,133459289,436192016,714115847,485971316,884809578,510404328,758730396,784383865,696707844,284166840,395893456,623675905,434581762,826639492,650134360,934163734,29258652,808433574,218588638,932393362,480465354,584101426,807961121,557668490,902686723,666130522,62155534,860152918,52499331,995087542,671422796,546244924,843382516,387427894,364509399,659989588,317534014,323898171,613840248,72829887,436547116,708098493,672996953,524074516,988218951,148865785,244294192,313144469,73000171,216305689,57003781,608714936,624067570,36140707,434195915,210618902,937661998,350591954,948053658,250312268,545974075,326607569,466835596,427090797,340943208,835957807,593545395,211138636,514923598,952388555,735593807,195907149,629507492,820987640,1582058,52471562,733567938,961417675,38868615,847211057,365810754,48375151,696008220,684169958,567360023,158792851,755404677,475509157,174425376,359466365,311396831,949596887,631297849,205518660,497606656,961209049,168228295,690482308,773036610,714138454,719870998,516154261,697835006,960394770,558336361,964146047,955086055,186765891,412932610,642110134,952573300,133975310,1775075,10768028,782676097,562855633,541496398,506295038,767943613,985078136,438105488,2804,598117700,530471683,591537231,895532438,813402013,506628931,847101488,321093330,466902988,891309375,349999660,411350052,51704615,876947213,501674726,122509609,104266868,723367728,529409305,901192356,992655915,170789234,247304345,55139395,162733694,665014441,34380165,719129559,629199314,946920712,855759682,516493444,230507954,9009287,532725406,348844323,397634277,843157752,183974678,860372662,153691164,862376838,355827073,653905104,186569608,97602389,108984864,889080249,834427072,309036947,598100311,592828160,39247249,293924931,149781410,420445549,310517702,797035238,639849007,915035996,671820335,640159454,40965612,661841800,609887380,38233293,402995892,678123340,618031959,718523862,375072132,236750786,648103054,346585879,547627910,169508167,693365699,317985533,518208195,727314128,185998084,631034371,804322823,922460495,535537621,446288913,77880923,366168970,606027147,884253458,99370767,255587618,818618415,126110268,72596769,383440002,949743369,487531504,82781950,970575212,537053226,497239178,422183052,824211392,188398300,958635255,989264493,33154684,204140200,257141813,206917714,543099652,675058301,32551936,64136525,793995633,324893473,246627787,101433571,728715593,121558696,76840164,981056315,747471258,266165239,772625047,12762936,838550535,176252514,500527728,11418605,308125351,741227982,285757853,482902335,330710541,657367896,120884354,295067812,360982527,742005052,727582900,444914741,894096659,245620487,970613030,208133301,132112272,696385307,538889824,270307626,707518653,964486771,982975035,605636698,888326219,183744049,933413809,145278820,1832642,705753625,933581143,478576264,774443999,514540695,953116014,304035977,748995052,412794168,182068198,294920457,812621809,256750205,164168674,234467380,163578309,297633839,705268496,735471743,869047982,395791929,53568474,972019821,632084202,86876175,287973391,698246309,48884265,201392833,91272799,137582095,353653373,144664142,248954776,152451402,286780857,83892611,655333943,178380858,379492650,864812345,156091190,638029186,893002497,409065800,535447962,232378785,464396408,972995477,925534142,436833402,261063874,931180609,693107185,694927906,217891515,795709713,952040278,198779851,560392441,32434852,278964395,515285298,843307113,681915761,399359186,358527257,870552927,244317638,939208086,681480213,58891111,658021191,280425191,905363879,359931996,240205942,415904505,523271123,94109247,499057590,424792993,81868495,275908744,550143816,330317449,549680921,314789961,804512875,547586493,669386972,300948906,292406856,241275312,34720202,579255691,74568182,125160383,321657731,235487421,944335540,254377982,317643334,861533235,548408404,890411756,493459895,174624188,555620205,465232771,186995834,375163330,819435900,361583488,28989695,34076824,126034998,983917709,199571029,562726464,381407588,164091963,855167276,104019578,789682254,25262751,167818698,693913780,403197612,230053062,156917626,866639943,975702876,430253239,682789934,528425139,116445910,160966775,728223187,472743014,245425938,92889533,698938693,80649629,746314086,49694076,165147163,275466494,379522454,887553720,269180179,317184320,616078934,973736013,244355743,344418653,443089805,975754013,272679627,503968084,971888262,550226257,35935079,167420269,37570865,360980268,322891981,516002356,821108729,986774210,182902791,904199778,180022194,131246044,200870264,531483171,812199729,772559622,771143732,276653620,315174114,693701322,140747947,438931854,450019356,860844249,345816688,519625853,436161043,954143744,524921785,724057043,568525832,46334975,492955999,329856753,587145043,955062619,377219235,149818119,289824719,132399363,198916424,462652011,509884693,969439294,856486815,118479816,753271941,456530411,449830128,801224331,456375980,406335558,159419557,561013657,167115554,398990117,244222,86923001,744763514,145522114,289889212,106610662,380351210,631777516,91226396,129333901,655178046,252844605,541101109), 39818) + } + + test("test7") { + assertEquals(Main.continuousSubarrays(748485140,818457444,506065671,457502910,80372915,643314518,575934438,977493309,303861502,451292516,562893213,16654857,164224969,879121749,598354394,701732173,855419816,850202985,284556313,786617533,174731254,284227629,730932068,546999279,263147370,592212889,844828648,140569546,654375423,290560037,443563630,556480490,248418885,427128412,128528319,262290964,560252607,205632148,687252519,201341706,542114760,751315222,28054952,146060555,286324553,723395795,699205139,180609404,92395765,573013363,142337050,933004554,663088753,924545618,755655796,256864418,960884095,289990794,397781173,489499719,497985443,730080985,684649399,330016731,161441770,354948023,781487770,720656125,197428971,917922707,789355336,389182177,762560462,247402397,651424144,770212175,842449487,727531591,237869863,128497350,666827756,839086166,397376566,651932279,804371459,270030139,833803204,25908662,642012770,851688874,165974817,784039105,890083015,256982738,886128275,795837824,187760541,129855962,91277951,853077955,590688246,848102515,152750841,184457533,648973262,841734895,964190308,70362282,79703103,493825689,349646103,211451060,268377359,837673454,342044293,265176922,834512107,518893195,804270417,333365103,193576017,759059662,19268886,74023257,196874840,174457978,514350726,817238427,20126176,265050606,661973434,548579457,834944212,606004756,353779028,88387346,925072092,765879579,537170780,327187423,230021199,441746236,723031939,187730389,39545903,871045935,957851449,839848047,757035608,574359194,876186364,268495605,191211461,32495289,855754793,528305120,794377215,637750799,369230176,56038536,314861731,165635742,337338682,884353685,153900907,359675668,309822853,847625751,154542801,614677625,604354591,873534143,485555082,632628782,520496101,337219759,959490696,221350910,571855248,209423887,944995065,140319420,729049916,76623696,295987652,554821245,489737977,366881335,700360668,730101700,711530731,131392855,157351040,873990335,682339223,645336330,237732964,510195169,565306639,933645929,789180248,967125671,191162213,484789721,124612606,813932065,95871726,808880817,766277347,37518466,130461075,129676869,984370812,850862559,788718100,734665378,427922548,199620735,789264713,852751376,300958415,498227492,308360560,281244809,458753439,143138232,621076864,619828741,926524721,481741485,139704752,601799065,290015865,300032004,273244397,966656352,794886180,429986394,950572328,213800006,57897882,680570699,141523367,535867642,972056488,31738710,58465003,903077976,414092516,816593501,546738417,886829547,245219729,655614316,521360774,18844803,761536269,373783572,216014949,124610564,339267818,878683618,843926900,765554304,959196167,425257971,102124907,118061052,208312151,442183411,693410321,789954619,286181441,513284181,952560656,606559166,149155130,808094720,787096110,17020039,531598700,451274187,223888101,841504491,819611390,988076016,268266187,935083015,351017155,266521776,322550169,995246669,369790663,852602567,585142557,589249516,443183573,564213629,99476363,804329589,431350062,311519511,987506029,746744174,965140064,448156137,203477361,842743007,770043015,325008565,758454426,217299200,782899590,61032634,480484445,838480881,799208231,630331102,155766141,295672090,983294487,8943328,342071707,111989203,608376793,147032987,762741989,668406659,428744627,866024213,969858466,724437042,177505980,286615873,368577390,283714618,551748673,293410211,305864488,101095935,792433685,696841184,405599547,984100687,222822032,616749292,226515016,797023376,761307335,443700130,937163513,402143219,104905182,566823965,132335584,911094355,198224795,17659941,958383853,91657534,662797460,747858577,114704298,206750671,157395969,133428743,730270035,448699666,349642221,226147470,248282400,560485188,153113708,806626346,499590439,439418289,236546438,392209482,147371422,217819547,779781158,432902043,533877275,907617117,447335227,991411950,266260239,231239254,545489560,225857942,629498751,37749914,981869524,615897331,81260211,276723944,640356819,300363283,480490524,298711824,52573678,688374440,481549509,106170017,733532305,101812206,760019185,375331128,820923186,743939829,651113393,15236452,45849677,437180219,960988373,435301213,144759072,113625062,55604366,267956332,49508301,736939200,519820366,296927810,418541696,934626969,353402892,906028813,360976852,575137012,746850155,360167674,379261638,139320675,76565334,3958497,16677925,911126688,996645048,617146209,13611945,323387463,339114251,236019074,406031823,186339762,987109806,703927908,637081125,817273321,600844307,334961346,403171917,131056190,344139884,477830262,973028331,707764706,396800997,135436098,39886909,894613079,468853585,800713085,725047370,95526485,529322301,520105482,527054180,298791947,515483373,35974647,836684990,924761399,128197804,948015992,126059517,1204693,795519267,984868861,398755515,92254080,873398082,533756541,432264926,747642049,365600030,47549680,756911109,115499757,600591458,361043758,479239578,924900542,382403558,134820506,885214733,214375743,729698841,696156237,262989446,780660574,566669387,317090746,245284682,434338790,166008824,131609705,971996773,290952561,506708065,563585090,525030275,156568851,960798951,770310051,325083595,53621322,724524764,815068099,202061012,114639222,825213335,325895361,363861402,529220602,5871426,491116460,222305677,550496304,485641377,477758422,81593837,344691973,352430242,729932390,653710630,328675557,262513481,876009158,531011911,39981886,222782594,233028668,536368887,963754227,373743898,743528700,816690336,299551861,785650862,854972615,290937784,6935446,400544202,697015437,986928456,121169140,890059455,279327971,158345031,916595063,508156449,886377770,583743834,324637544,73344229,744345267,79409073,183549600,668195795,46731435,282318666,907972584,128741603,559245966,814019823,253202135,157109433,893074590,899185076,295894858,699630740,180160054,155987237,74612369,493167821,802023606,750708744,639346175,166183841,775993581,131164218,869650150,54062311,59319656,688898310,17731652,812709503,909032031,581268400,813108790,77435105,695878098,957148297,584422565,973645802,975974139,850720564,820097046,513759074,147217339,59668526,618472170,402324114,458398076,769230171,884540460,146420103,113470389,508772974,175144632,318451539,723084496,273592098,354912599,294811814,513207569,919538668,785561695,265446139,922822398,758370844,605517393,876419736,724331638,204363819,785615117,189664515,653842070,551928009,574810047,294709894,534569739,785732600,296195080,690648420,951329410,519301102,574044808,672140478,164227393,608787170,379002322,982894579,262637329,678744123,506104266,92596723,923572788,565205389,18544142,697578576,419246213,194189146,455881540,744578594,618487355,509745610,679847120,714963785,508121049,468160690,20034558,962748748,273950013,896186132,277044656,214706135,61101217,177497959,612025683,972015962,323883593,281554906,185556441,9437573,449694178,609116723,165208634,485241528,243884028,710662400,484589402,110413377,504778061,839316221,25108129,677008538,780669038,289112691,478070485,989378825,242605313,849929893,590080723,228429644,269250038,505039195,176006772,693936837,11621482,600484241,742349506,241501964,825662057,54027229,170989431,554251656,357045885,788847240,915523261,678283956,870083479,319686275,529398311,797273390,530036547,231840157,244957971,724525878,974304895,336531669,647283782,280526396,279306465,408240023,301447422,308385615,376188075,497022756,2476683,663043006,798607523,885431623,366221448,514043499,782115954,486305031,452952388,594734152,89072615,56724351,793783249,149364752,474011963,154864220,152729874,518445700,595185814,180723164,133607298,595049994,322079639,569788882,317190776,521722284,473686804,347151485,545674690,556021319,775584598,466197954,564024569,496352869,392994387,146818321,790232392,882714968,524149546,142057685,479013444,625382323,44027004,483957105,890696120,838363015,249919050,238967804,635511617,648625626,500722480,873390348,744548888,423532071,894139061,553605705,59488144,488667129,880712296,742384651,67742024,715093808,873088969,443731234,181555488,109151584,102957371,848824546,711259588,320432594,321060858,882851471,615235205,196782725,707888042,955456874,558134221,31047364,213203402,99491659,22300404,306628809,756516451,945905633,30787674,871298532,392034147,121009584,208559778,485626124,152759455,438609683,570314263,252248306,667983479,324068526,507953416,459522995,248011008,808109072,467946276,24759494,122618311,961238575,6970299,866304396,130783401,836752729,591418916,863713465,456618583,262653,400283984,518807113,406688506,527710785,880641150,788966442,489884576,557655723,89044643,893092400,976137909,138970760,422784003,288939331,302788989,222911820,334030734,376238572,131012521,388864015,409140160,687641522,68157161,850627294,78345,295282276,431695930,376911732,263743826,958635536,316555613,179222826,693012216,544315240,329360515,302181972,192006037,978434133,437282340,58706327,12667183,676543489,594029511,794415885,941759408,541026225,945068012,141590355,195039273,719862257,948680422,724029677,40719482,834814309,526348938,920832238,801734449,136088836,152292571,311799060,286158897,832133166,467114919,749104718,12218709,538141538,577758040,117897077,277395076,469137083,287398468,485521712,846119383,723723819,378055727,6574944,50626160,669686362,625563880,302437703,807466162,1797813,211078507,25658168,248981061,745633359,33095442,610474509,426866823,568052535,243075577,321221767,763122989,943285449,339699252,321092959,3148582,615551049,159411817,815798051,485192419,159925357,590868091,670798960,91856800,295562268,934130273,426376652,107359677,167226099,765147931,621130061,633124528,97666752,823770258,812852883,573424940,752701805,970288168,603072798,828112431,634855343,651489699,344326216,290579838,244991220,320918147,746911462,120161938,293812777,43397250,961075027,550134742,447134612,211048103,307372615,108292934,288699938,562692578,875758787,973536709,688154227,287497318,990586497,589933507,690572114,668432653,329260404,822006493,662101669,531013448,442109063,675258646,330147502,181659752,253335540,431849848,392141110,633212150,220498682,911387881,289624303,842615521,247554864,707863038,642863191,160227693,724174624,397668291,285827723,17479921,636886110,256328214,904495917,527144643,776195621,150111687,975220878,30553798,719032322,795733152,497054940,112269952,404011861,624415674,287644939,661048140,695875251,315367952,394112390,257567971,449342215,499789730,937414369,21846598,994122613,440793919,586079413,180397629,243521067,850914261,558451216,452286953,76625603,622862908,783053901,393860178,294294339,818921228,569663180,237955193,265783037,43782175,239924839,678208704,604182178,824054526,177538594,897599347,800247491,743575745,739208502,981655045,712286007,17961836,83814550,379802853,425817532,667628659,409773093,673930867,360431114,318356109,202065529,928514529,202383698,274644200,786667259,91780979,221736354,461097882,65592912,530274680,8589,219460841,393467602,663152524,53027156,527931992,168536945,846558454,29443212,598711907,592378252,606917117,579563590,875863837,739403787,9189937,473885926,727512343,734684195,316201751,132691566,136515646,715407233,827268982,907009986,384433581,573038794,794893534,600445267,140735225,619266996,66939388,689068511,721963080,99302522,92339517,980688736,91213504,918317674,128334533,320290206,936668224,967135982,408171147,186972979,566436512,590171036,310006223,871880060,941538926,514796130,270265109,310712432,458555262,780633984,944707642,187749389,115257016,962262610,541516715,632924307,656274538,304816816,629081045,234850083,236340837,647028802,333968395,627570472,312597841,202377250,798653042,754101296,477797216,910362065,860119445,913720805,206861443,132664552,439872567,54907521,288152482,92152121,683095196,609197435,788252635,982569832,154394254,301838301,359717596,874307197,845486183,552449526,375291865,930221696,592817589,156123788,118929292,467290722,195892856,272296004,212939240,904730458,519306913,246179513,770198319,430550467,97570725,317880683,410973270,860129732,521013249,863420915,855699511,817603876,256457641,951190112,948280967,972938274,584773059,373323094,515756985,31219854,271033056,817757775,888742662,357456340,749520719,146061248,672284022,12571614,51088545,466792238,732763676,367351143,429685217,829089764,621696397,692520505,643410547,507067336,304847218,143620469,555420956,851181710,166984203,751198951,482549692,925466245,29286695,863072426,603601709,587239364,959176087,891540262,787438966,498976128,358346970,261845220,68489456,601716845,999410640,817401677,802563518,76733511,975440361,2276998,792373158,358566582,655734495,515874241,432156573,902862653,215090726,516372150,373284049,195760946,893141896,667191635,96858981,711232159,463416635,465158012,218030684,720969562,265109590,645354775,837460424,641457638,336971879,397092851,433712232,798932454,691850253,825550483,196858365,205569510,35396813,171053310,308242663,955990656,600948148,537660889,441530135,221081516,996134157,473361744,586992443,144049495,974254372,133472446,727568552,291224373,752508672,928988475,131544784,58887900,540720627,836842650,723725797,74492062,195770285,746865991,236845498,461308137,612018663,186672335,669574120,177838546,320617405,243062637,61523876,860847866,291394259,440875414,124596941,439510313,950156356,796400724,946724825,614833352,46470976,471829714,95314021,917698400,110012279,651110540,680137580,890185882,150938897,915603342,229150227,740124651,50158650,585657756,979950978,755241152,235744246,504822783,925314767,51112405,941171378,830341452,230145568,888480142,456078129,654415446,571180422,952203526,125846481,356241593,373795685,913628423,713218055,171583376,441087964,994435808,209242523,622762990,270100603,108178505,430304908,96857099,164808955,89117285,992190799,424141064,18894847,676609576,981080645,951451750,315879162,543169380,710735252,460975386,536428905,209313474,804813040,389232815,608617014,618152153,249512599,822445162,366742904,47168485,295580307,137976362,801112837,676657595,256951595,765860629,239396244,636747580,450872701,791657845,610054487,550583303,339415725,883363572,881833184,397036789,251347555,397792695,346925269,961098425,185806472,843783052,121611461,807568618,184337678,714716254,207678348,30833445,708314810,736077699,363662209,267986416,459584245,698842305,334982813,264654222,645359267,911514932,371513377,389352093,54137949,980028816,723077961,870261826,67785917,307989780,13133900,450547943,232187540,407715969,204436595,769169965,906760181,240121045,307010420,297065848,779580011,830133228,825131819,300273684,951607101,231128018,814048585,862390852,858632208,915808740,111089961,245314282,335093588,873500593,345285648,577400433,323310179,550224431,990074151,603649836,883226821,333828514,982843284,164094856,665481454,77220631,182217347,801093664,557364360,377291798,589924418,325268712,974126658,310235865,225297504,744291843,29155592,472699270,9682851,213026345,127745316,917800106,726224307,80428037,40022138,766001052,237006454,479680711,880448853,450352179,128875732,618823197,839542521,625905079,961559891,357037921,588136650,937522512,300291536,396606177,474939644,109640613,797166558,994886174,777678880,332761198,956731980,475449816,393650828,692935415,839760001,113668831,820989662,237646024,14718815,404895739,139608203,648703639,918634021,781265120,358291861,313890587,344753318,13693303,145039552,744628808,694497075,378434451,19792793,612086964,612940437,212537851,681148301,968104162,231048289,126608855,944956033,118621456,423025622,718205921,284513733,124196680,10109288,999649708,68164117,460625207,829018903,717784045,424464059,962459417,309147279,429491153,953693041,231429868,344729507,584491885,996959535,205351935,18794978,206433266,677628803,609319953,655742298,295455023,596457070,692084840,104965940,879693478,245139886,941675494,417655662,698616179,640504889,743884648,422923162,395729315,818547061,277568028,861397507,701133279,836154849,963719188,958131783,762993102,325472013,261116661,988511278,7179887,650120359,957015863,70619713,574309329,873794746,262016615,473376861,203408812,302340125,300816930,753088528,963500456,459335464,284243852,480149675,865476479,543054492,295422644,476815097,905571550,608105429,280559553,882890216,834309966,681040244,560141996,43183443,886510901,242487238,514104179,370925641,337683599,505778526,936224432,127014958,935435038,168361596,193263960,877357471,390664425,197622326,477662658,316679566,196295589,879225597,450567200,506539125,707131531,466037425,36918159,644449219,184862782,403408782,203276909,740966903,571864285,70986410,661904320,945174100,605567132,394987596,218391221,357330028,225873759,528442058,230126162,770871265,162609537,883240731,785015721,962328239,913524503,891073500,782603052,977100889,162743708,490861146,124722122,3896961,11302583,767559066,438694342,323486819,896823402,127794951,362701637,135196241,819204129,12283025,86559435,29662009,91282915,999316178,259657912,34858522,703587346,653533102,197692406,257666001,982767729,69814910,473364082,367328628,808215862,742999351,970891462,254200350,307178583,843357803,427860946,921836239,787411499,123646888,152503773,495894665,360119407,914223676,224764875,908867026,369330287,396452818,126886971,740822328,869446842,583741341,761876898,741494514,55016979,585546510,591045638,195337337,556311181,814316750,27783452,218187979,59964278,863047704,143900307,367382823,67110084,648193980,809901190,299702296,346298077,701633876,850436678,546057463,26794087,548852587,262867638,840549667,284574716,458250692,44664849,844852876,688948421,78346919,564400687,751880848,423103146,967830621,632876843,565986688,296367665,382692892,542303431,694744353,476468009,500798075,802526325,825795433,504841257,760126100,979392126,879683379,490805336,100448667,217807375,339023451,276053099,234510396,263301863,536898482,304586545,772742301,384826143,209746290,259216428,594674934,571367800,210515729,264160396,153721824,95412832,778776181,263679946,959573349,869191643,441994231,704286019,663556532,319363164,612795973,430257262,909706607,111926776,375760917,387304565,335773545,831500736,35014834,485494995,963327447,750778462,856301811,595960184,561078086,757147130,487286310,4640847,916794602,996463629,144298586,187437932,631043184,445823195,767166259,236034948,837053060,157657477,654123499,748318470,891263020,316541253,964263500,851821599,434177168,962275260,68195477,795769386,484737203,527057106,802326351,140226534,86619100,909117955,184708746,901108691,988527573,30801946,678499884,131610512,666590653,965699409,60343534,289331153,521673741,29660230,637561402,170703387,978619909,200367382,337434285,97358163,62550481,830574717,708878867,450087846,753242449,35871901,644447052,434884281,780779475,739208537,602369758,219643987,926302798,154087764,193252757,114470464,545461823,32788279,290608129,930546363,953429340,463125615,103913033,150358728,976263423,895878172,474984807,909167523,852366518,248870616,214014785,728079494,537112349,699541647,296187355,485415759,500286242,111944956,171072966,554227006,261947382,516121960,455539221,130770917,637455848,441957245,627066084,105493028,198358664,353437280,60377016,454261355,577030023,539632514,477526946,973886645,435211684,327724799,597914696,2839768,621274802,12319405,762035363,764748119,379259907,202745841,6478619,688843486,862313085,6324729,285755942,682407538,670817617,875261293,739743535,59518439,541848422,177775535,153468441,716506693,733687833,345930288,938050532,83136435,70872586,906537941,21555049,515048173,839242802,396906130,310844657,578603052,821791122,872165888,837396195,267304170,64252641,92024826,182063818,638303727,88513975,30603118,829512185,236040182,670559513,556011540,814032526,697410735,69716649,977743132,811443499,830138007,572299923,261253051,225993063,427923983,746630623,121078088,635180664,142548090,799979233,861949709,734661067,217336233,30476061,408959552,346240279,552774360,806711370,599717665,662719669,419845059,153401332,617877386,660614953,417711170,52089229,68964516,917775244,305402871,22077740,912043225,285478562,264097633,533731202,388966654,356120859,391669852,922609595,839616185,608268608,694720341,803080401,765661076,936703485,882564282,142026427,502112227,356191972,372356019,810261805,873717309,211403108,529743845,816203589,245680434,885981464,225116394,101446118,732342305,755156935,645706422,32901056,707620143,390899886,371230218,730030440,202489953,143790117,502078862,625946620,361640377,46606866,489332711,389593984,718820968,144983849,392882268,43407580,293382243,360436177,289975915,696633121,267213181,58783815,616820779,570924631,381895775,406727995,738869277,226677353,926450165,443701265,241699512,815355105,165731339,398388471,305704214,958583772,999310443,482541030,225861310,394364634,155947867,525867350,337614651,862717659,886483590,604701743,328793927,380581264,754679321,961635353,715473285,288378121,317869910,757254394,654152543,198855116,897378163,243078873,638921911,762826746,302261514,951550396,472055446,170484666,265630047,691426587,339452964,663555665,451518992,984237181,898254722,856910644,598411706,748721493,587042997,517300560,585082834,252604371,858796853,394773734,802638187,741853816,813654068,192632646,352555281,570731809,118817410,937374179,272959731,128954769,580325202,489394273,60864222,710845313,588077355,581122667,720487650,904387127,55824796,213073178,491030842,226307843,981618726,999183561,252285236,669480205,397652265,572910774,106399719,529029196,487038794,358199063,184252193,39810213,921497584,479936708,350615481,913251663,410360918,236527262,3273410,491282665,197093618,836546833,302059528,838742905,364568697,870392842,617864889,837035589,823070392,552719864,256552804,436932076,271321255,223383624,541002390,211062393,152323162,648108415,708332503,655431100,905851294,899201527,287905870,706895298,8010099,210999447,340591980,788681467,555735451,682888758,566068058,753141323,654378632,118307181,157531640,187810340,906919065,344150301,265294027,615332938,576197907,528060274,986777427,684680667,497086902,786943757,926426311,818801297,600414424,46783191,826197257,36485369,317621789,544071040,240034613,121129800,716588695,472131014,884536476,165372877,119828403,118015176,946758315,992760610,277991022,534944059,74280538,678940507,584964240,855069419,476523737,174217435,234806386,433561952,576387509,960053037,200046595,315555736,150028048,816910592,867762899,768500478,486329187,946146638,60169656,151193975,146435633,592686894,487609037,154316845,619204765,583334615,587674471,137468870,649742795,260152717,335098173,43323971,703307711,4262961,808817355,980628188,950645282,67584687,989908066,669540264,202607953,849569311,822091528,754541026,154445211,371049246,424909193,8511421,875016145,846454022,102848760,705643615,394891893,374475832,198720485,768049468,484338783,416937591,647462094,558141410,662742458,927825694,239627899,386289290,623074731,840163120,682959071,538426258,892233569,939556303,100691498,785698047,108157984,630529622,402898321,508198859,815808664,380838889,411168765,130824049,891583800,762301127,398971318,222643438,395187579,123050023,944474421,695524406,453959289,763358690,285551739,728794601,762006757,797442229,415750047,336445417,981860869,763569132,811966949,299178363,707384889,511848885,358798731,770457958,207892432,698597689,562570228,629384962,902770311,494627955,780031068,333744202,311503230,784176620,720845318,403199100,667755680,88599589,516132434,101302989,272124185,529423178,351144657,236463660,659551070,322132096,105240346,936635430,577705060,591699763,976150035,734000082,602451982,868010952,573615048,761351654,304042848,539898935,349540345,271056900,238737353,394503006,226594667,358242776,181421141,445334993,773131211,301920154,626772149,923641463,591082243,779651228,392358732,244291968,22066113,317635297,906211588,457806316,790412805,456791221,150377730,35980422,603121273,917535343,529567571,431279691,654945736,774160043,488889970,857735083,457932881,270940642,399238250,258316495,588732825,390483122,247077668,125942765,757789104,511539742,603032884,420311492,820762092,581434594,482607891,534179499,914476831,754704353,650184237,327426516,150746960,225901977,789550388,873953303,649404569,483404972,227496115,772614930,713557967,22345002,699974385,877741546,118634217,347942257,571671112,809436319,231662033,971549852,557401431,32426230,595046748,286586657,171485793,204460740,789079647,676190045,107094235,649254718,600148150,374024915,199420522,98725757,983652010,540447672,781838014,194696644,466897999,556047888,713791342,291243555,78409475,653274845,960613549,374929162,111209672,540669270,272415610,295505150,825868366,441534497,220988650,548210359,139709727,225590494,662018976,18077117,458050591,540020878,168847228,795028187,959070721,29924543,552233003,702972941,413344001,546127372,491361621,673014068,290416045,645951585,559888950,408805156,357148430,186182321,286600964,303029461,648126502,15770432,824353861,504105342,171313482,393092450,202141747,62733809,913255273,768068841,7223375,69047771,147730430,145667731,868773367,263130725,476230858,192714203,134670198,705750319,225606794,763728292,74200498,661154162,695061738,815396115,707415765,541442274,61720027,85515471,794854366,234274997,608390732,279068739,924462359,807030823,732558088,709236999,909600081,789672143,924005184,106947426,680107032,352306653,104814480,356696088,906707209,947080414,816133898,615913584,562918295,407362190,940331825,824177808,878252740,309217436,427517190,506147383,562093565,390848307,561431244,793474723,535203655,523386307,751957643,674954383,646454174,815068363,140399880,209048542,64741185,902259347,513006960,895967480,838340772,72950412,233307687,19082098,119972751,111666656,722117522,214539098,876989464,982201945,796722292,75328712,598165741,167603416,662666295,142859666,793048514,691393683,739010980,105813984,636238392,132659186,261418489,787437244,991485718,37787212,953941275,765545037,131563952,583154641,295203646,886769611,365924432,760083224,925724428,618472533,872622259,344959941,470268009,772794657,63695359,958064019,235358244,24395152,648596117,786365491,853217412,577508448,476505883,213282295,206709562,387046887,540456019,280751971,136187670,917411286,146898889,100238509,23566725,182582276,141975492,363149584,484802117,355605404,536657891,422394911,685619243,782217027,415979514,399911791,125966291,968478048,670832832,53881125,649226000,695549367,463444057,859202110,571112817,337829989,907721085,158466530,582287366,417306949,277010179,241770028,753044437,26531710,606182519,898179708,401743060,546729919,18741453,556353181,670615521,303065718,48851391,793259118,291276996,389733542,244807981,664581388,829876599,22479523,18680367,179268379,987949667,195322851,521022077,50858558,559094427,325905444,353315759,741150396,319934614,511847079,10934580,904405024,104595248,285771287,85725780,937971357,589056836,102538932,707284285,489817280,75429788,346742114,749697136,199967610,880349854,759411723,896540000,467058438,582863535,945926993,609297962,830941171,817497563,231127614,238691685,308866404,947827940,721001207,947193382,104505798,179573970,809458132,430189145,236026437,152042887,372231389,794146987,508651490,913715325,609318769,499637986,198884809,629130884,637779756,460909575,234587020,644994413,335376957,995035956,953810799,863592394,863689945,977798568,814519468,940979168,360238477,508334867,13390434,508586629,543740352,231362530,825992271,411544144,806384225,612023271,779162588,797607832,65751085,969781516,59610828,655139907,337604242,274376688,774998849,291462339,497783766,620721974,959638332,345075750,498459288,429085627,882063156,207582851,169535911,961021390,81382898,668606094,690039278,564264230,463599585,673515134,355294910,197759316,798193274,907635449,255077638,994172123,892962125,765605942,68444434,903541229,467922366,787722391,476730095,294385258,374501198,241818891,4678379,700728385,63920313,993890710,608616696,765202731,620591396,895401710,371961404,170358924,585802360,460648986,628908951,722736283,78521892,91878694,365677902,334930491,908499049,411515350,368642022,760261495,801433106,967641913,302199450,842378998,516377313,110947724,486027524,632247955,84074992,506338430,392997720,302430120,699887251,656777199,857502523,196100287,254611843,661657820,379187726,156554470,773116798,985788970,982421412,864395121,142487525,270958922,716366925,647242852,533812907,157831746,120069248,682898340,421637217,138228744,716057727,417099336,857868839,414531802,939290145,517323713,137322910,469776365,800699041,242138298,881736301,871740118,293726353,202391575,859855125,557584508,524815440,931406078,835815911,640135760,858499564,118165448,461249745,775769661,960340494,116747435,598769028,17593050,238825925,409714594,651731446,720761435,427136927,517795150,851828181,41586004,443835906,43539190,882075653,588305350,900510609,275727336,84016644,888556532,897056576,766297851,847574641,555917019,110301545,659882724,39976293,323605296,434538725,144102434,506990377,674851144,369792761,416468692,309924813,346067202,678543542,991708095,4880461,170880149,650479424,48925066,270729866,503526245,657705595,253482515,298691209,881108057,204784173,756249349,89617940,801177968,777739540,799208635,289284005,842991500,678842802,968006939,853301148,852504947,887229972,698190440,693130679,706764382,267396245,142895429,206483700,303864900,216773225,757864030,868887329,681158082,435725884,41922072,280939852,836548438,67115418,528173216,645901363,612500030,30078978,611206859,812360380,617911133,319136166,649564252,260055159,910875000,802672823,757744903,196258810,163954117,830010254,849516850,472616274,263982756,128210931,181608257,297373858,561894395,48083242,541073115,957172672,824385926,196932457,762730332,438510115,190937391,954668190,699473187,16962679,653336583,489830012,260824471,731796959,970905082,388258413,797834012,964655733,992488484,147014956,967036622,134981747,50603502,594774265,66219327,723456176,818991649,519400849,698408110,697790313,224274081,96599985,29867394,897728617,71712792,306492511,470388903,75676302,500124082,819041783,671247845,763412280,325025617,131165109,725737030,464509343,818516446,286295658,604992195,46095997,920375713,849830005,328730535,742258922,184508231,985958485,449343580,160959225,396781940,976084524,662607621,855448787,424554177,952660654,314353703,414240211,110163286,469841550,279244078,226910344,211546961,202536666,838881611,266156438,316252751,236829485,705886351,93051321,53890011,869465381,275839124,824577738,589583629,42356413,598732679,579457922,972098933,616090548,621758047,928060065,878158811,220833600,435050901,678774104,273619419,182337109,189204025,509157117,747864079,842095868,975218997,241435456,928452309,947689012,907735582,720187015,396860548,939440231,552810821,518778975,414848115,737353945,64929815,58509229,539747643,977594570,711380958,864861635,943622898,557138674,864243166,223698344,975719122,602242482,53772608,199584009,22388947,784646891,612291628,322637417,354505839,352710790,413615433,7153838,99781033,708635610,672347198,734430887,669589234,479712324,77707819,528475178,579972092,861943078,870301944,882953158,977338499,231253302,873220825,445997189,414084861,824712174,331065494,927730953,607707545,743042310,138938541,731656189,375705897,137992094,739253497,378922581,545412633,856506705,305683477,168509290,528062038,339133264,533068138,122346592,453095236,758543649,451361311,660099519,354559011,930635143,96757989,180668576,850480527,405696983,970767223,839213346,609754293,50397047,724068419,908907857,544031760,609214669,57856097,114364609,302383450,638920020,8851462,909290543,164049788,832779231,297199053,564671390,400725359,123446938,706441311,977719466,569517206,483303453,21530429,104943945,791268552,109178525,577687899,640260229,346364982,994562742,617075880,374485426,482599587,870955651,12515210,992555253,253486222,540127219,974303167,523130594,225303810,979670384,841152181,949721832,96125158,113219080,298042893,47298842,975531110,275167750,483620277,460837271,452825069,970946168,592938730,567467983,819131134,313972354,125412402,501420645,913007370,939578505,659851272,828484132,891974584,115766166,615467399,38250425,484688264,238127809,743507067,439363741,729676230,137975,809850551,273715752,932438242,663757524,995699631,975832550,770989012,505383382,559495973,606137319,41053329,332805605,548609665,448143659,60062481,886530373,614499661,862625497,716356011,343096447,59793366,340221101,880271367,253499086,811407273,15929565,357267023,300315670,434543574,711555417,154183608,349524893,788661419,127109223,450239207,374469821,297561392,735180767,943606275,599833261,73811277,930477209,342421648,23249947,464304221,151034134,982355319,646788866,966088286,657697802,572392365,488463020,508876502,748415023,654524878,964525755,256197837,109989541,955403294,662179812,385880124,67946664,809639283,236115557,243145549,551835108,466440433,607323352,855901775,250746588,602609794,789114937,154251351,38553254,313072763,751307059,734206374,554037860,299090136,89682698,359588717,559252909,979554890,991295037,229996806,963883790,626204669,876073815,97706658,596992975,857470575,214674563,115830047,591350883,128493032,400894721,845926338,352185546,218533766,935855625,966400076,754345735,598438558,914263876,577322492,905423559,495043989,684045569,554386577,152358701,886482104,477624235,163431801,930107946,511086167,16423662,925160254,133984317,908873611,427118425,215059201,359648444,932969373,834737618,973302847,661683603,43178810,694772346,526689590,601376757,731289381,40658231,777847917,277795352,555635893,222351373,690238888,539957983,820049970,15193645,785377403,504432799,563113701,650360634,343366662,527755709,601419994,345850351,757656219,505588854,960726911,75666303,790626917,517454592,495242413,567375637,718702459,47390287,612106489,276258944,476223334,475687297,159997012,186689834,52349310,226998296,514267176,860404765,293854319,218812309,33445329,111295150,461164734,762485090,109133076,176553424,484946207,56617623,96692897,14756158,64282391,343173464,297335857,179217537,496085843,433257419,594110398,146486976,161252030,269303745,239107017,538060954,328210101,798060726,458481296,225500603,449856650,68373634,410054598,318534265,933383247,273398934,395435400,436942136,597086418,690602918,84397063,683306269,529452245,201388304,127438681,542108652,212231292,72785610,216827967,588076084,354593269,48848820,721083403,892466522,120001854,904105303,417205138,488489245,592162008,380840968,962673516,132646587,818791712,581633789,334943913,262534680,348773522,923408682,821508308,572052747,94625948,602978947,451639763,219945196,425549853,239703804,587451226,862543083,655206363,290023983,173884946,991384952,147361692,876773642,14032771,229886590,305715678,646756362,478919109,717543129,815894250,931954197,300249755,685161122,416521540,406322998,37850623,166982452,39705475,519710746,208685057,563743928,243778537,156069832,899009479,145071607,367765236,703578338,807844244,218180733,487197040,739553413,17812660,808147319,631456228,41971746,385792127,281438319,287212164,338851446,504758999,938945233,399724503,151786142,219020322,451813772,636945813,993010113,436323940,176802220,45323516,772843147,931690402,782260032,883499658,672768845,417625519,532274216,55142270,680916264,656823882,375904110,588691699,29765796,160427298,592785958,760118665,246179657,706749056,556092080,338908195,924573315,102261207,367059629,702952111,442958889,216305694,677454541,116856852,97189728,887361109,966032341,724652139,95083015,815588269,229089139,824029928,109583925,513405153,868911359,368140829,138125594,952221954,190901465,746857147,179865168,589367049,846903937,886840809,310895194,957462718,797594523,322650655,864650594,382854188,646893295,744695202,444503675,687797829,348637856,73674092,276834527,760997230,361098203,728834241,13877519,939672036,106249442,994981286,219947947,90654931,853408370,934153577,879027665,710541847,110754105,106286891,66455836,856575621,732539477,672527315,535023072,226363860,943925204,734516626,308244979,77706482,4175063,600949023,932642240,429830815,272847758,76239423,525174797,595943381,115923165,775515204,996739560,171768983,988590016,420170432,337666349,683298911,776948497,101075550,778367234,788527721,12466095,425231330,795637135,53499920,512901567,599846080,25652947,170385704,679889220,534931385,201319017,857567192,152006784,184486576,640592788,244806662,562587498,987423774,518649047,162647315,619401399,361674428,489471781,943897025,860224495,346790548,586598132,628213884,219202003,402631907,536293435,230423649,977348056,569558102,833788259,107553973,516237652,684670733,899853137,52125085,237864690,250511049,189878892,42883715,880943997,466037336,271548161,413157702,538147056,798287741,666262336,195559694,91349461,340120954,444163391,334809394,603090921,389702701,385137702,370036613,849282222,184339877,182785938,334786632,669388096,777289130,179125278,231602480,211417976,696626468,481307906,633121538,196154129,475645526,369880036,223500570,645811851,465697064,256562820,687382010,213349080,440356368,611731924,303188518,271802658,43719109,718091830,918262287,485514616,667782547,985511561,46958857,454636223,529917303,457241233,803740427,463301238,748877939,982766452,568889008,868745397,47593417,994049325,25697632,498217764,965462128,162520377,34462886,286567373,907530170,964324314,25669721,833166189,173240889,475167374,150606074,250204420,245291084,427868654,994906022,956589209,165014840,271122329,820974806,712102377,801634434,260845687,804514998,353080327,531088631,134002242,964888197,142850324,494831630,929449825,85520024,626539131,703541230,299047180,116443630,894274345,418426762,329280725,824396019,529698375,506626426,489592694,464365693,527161381,842825364,774954965,315456147,388237057,549186875,650144130,479050823,809262524,639759583,511142829,844385668,109299790,396413397,278595651,414242047,861345848,210854031,91549955,263260642,40699545,414980228,995272947,807821112,756830141,798893664,477720518,22590465,350606706,312238323,684776548,891999876,463169075,338929220,89238628,680649959,912525259,639457236,581358671,34934119,775984768,126770755,206889167,813169029,60214736,409773251,196067065,96278509,275308734,340349619,194613552,971293337,995810250,338880975,247763936,987653679,426756174,122870979,231373118,996072727,235927246,674223981,545851807,950423807,131154558,131991753,577893774,678235296,910375340,506819034,123142911,845483728,151148148,652397541,614162980,247028282,944425433,484933562,88854735,292841978,33001029,21789509,25878688,710188776,56324568,154095860,66748830,372052917,425421258,625249866,655729018,582642620,384172338,713381381,141587357,977408258,625306982,972149374,181679982,655260716,667642849,704903845,251286243,194413984,170869414,671916447,986511833,405639261,298448901,391375633,709412880,882317650,179145778,113420542,314586184,640970787,763092619,204395261,556246410,522919443,464553774,427901011,790024685,715882525,831115497,463852932,897274722,177123203,346526934,264068232,226777000,309844436,13867468,607736895,729225295,424406524,806361360,855906873,405534870,314155114,518447154,996036884,972311518,824116382,630835747,362262571,543659872,179028938,579170997,336015235,419070725,503730703,535746427,699304043,200628624,927713478,727817425,547564489,468145421,4133464,636265708,439391674,714428971,182913298,417981940,878774525,992062123,827139039,513029032,535293648,843850857,532885882,939014205,858293446,46479285,400000526,73140703,26932494,865609078,307075340,603423853,122207213,353026459,12658734,369026917,203782707,462476625,481922339,479619,198244407,205189706,628181064,180376190,84372409,368770760,554142694,542983709,207110326,589869267,135412727,504198280,22079371,150854793,26579829,983032256,877466270,929084991,498551314,710830070,741037931,7616842,424196730,707450777,82824092,792195659,448005487,834909916,728326018,598714654,653764889,64993161,252152643,380242721,723425244,548605430,936246969,883719482,277269277,805903179,600819922,762366049,838345241,85269274,780852527,584347352,743219695,625277902,616839958,111407861,328597203,392192684,109298049,125833704,210569387,561410819,398888164,634083082,295709686,867755764,371309061,17854404,440159220,701982665,172593180,823677615,664642808,587801367,540634838,336465454,855761506,437362804,757925876,853824597,378356367,259019047,211701426,123096159,139676256,17522212,102612022,648328699,864218700,642386094,977709750,981977755,614998185,680525736,781476326,360843516,703788834,841629128,199058263,8042962,904221880,668028402,166565743,34694694,367884111,5193822,400120912,622123518,73386049,648965074,258758758,471654376,771438145,182435344,268852930,351733834,864038618,941533821,258385857,130057268,181141433,980772740,758851052,797052695,68038475,681476722,158100693,864360180,932965124,264197156,605885009,14839607,49330576,87053757,584568357,105457064,495122156,657370344,18314956,311055917,304268322,760968931,242591909,673232358,863534557,172668770,579831571,908121049,368913390,636005736,329405762,280690146,713479131,771650235,254913936,210552087,928445753,374178868,269403729,70076725,657990415,793243576,625108762,45204702,757730860,277328822,53989575,625583075,215456836,196885320,459044025,336556594,867853176,188738354,659495314,890797224,901803829,713885653,824968837,145313905,262007654,875686844,310927421,432571451,653898364,944516994,746523208,40826290,535344571,825377623,84538257,486695317,173534289,179977543,432105520,152633613,336685204,279604749,350456648,737057640,841913751,100395845,73929560,197003312,874117379,960471730,579855696,318671658,771855599,72697019,996231611,197547798,979740565,572877398,601864058,572200364,606943061,28218527,46030173,907475291,827990109,6726068,978363915,676547297,961238129,908746528,512766604,894596885,484558993,384075327,355381270,99284579,346546529,139377338,855284628,167931921,728592844,470247228,720658303,656867092,95428784,199449355,768739012,777678793,958436683,251202328,721733443,669251354,578633896,936962973,715154642,805652515,55782893,370302316,632206006,242354655,204476990,835056945,775602408,163754038,879169823,703967833,824072407,214475008,641860191,268754809,216087289,718032366,142332701,632853481,702446963,891709951,731998817,422552101,81378710,764833875,42893122,556507053,172960947,381948299,651870048,228997248,94655805,141953309,526752259,966780751,54382969,441818321,708726472,434822243,196849113,457855871,716677932,189649829,785616454,271650559,608968629,534823594,277631945,348892618,368982089,81278327,578171494,171163307,605858308,7658123,252035000,338412282,352958728,592577704,543881897,475567987,951988853,823947663,605589186,696664882,733536734,575029327,144361527,145962741,948706629,83278360,998071795,388423775,268551908,261269646,456304881,518717759,511797652,508760463,270695064,461753344,939374715,802428202,329151151,896919535,497655896,99197650,390701739,719739813,941724868,162937455,627212545,200955675,467669991,762222960,20092694,367033599,852235456,568585291,672081508,790601977,538659500,4910189,304964195,449232854,692438695,356535554,400062149,679154931,101610113,50419812,989983486,890225574,448983223,446086620,140984043,798152241,223002946,466758863,571436833,414195847,756466135,26271420,31858256,623823185,535167443,634117383,858872597,829534080,609991327,988180541,694982124,826890053,438208015,309668820,573049916,629584600,127538866,279336908,406198592,923366307,907266738,413203799,634201689,764939975,770806209,97311300,139892086,172488527,827192064,910239084,496093112,441201993,497735624,981966175,370546844,405062807,349178179,127040073,693626548,112380224,571666418,125497826,916204312,456032504,7761186,79519658,642133932,742781731,415796825,320269282,505257783,221395408,553419679,485970390,499072715,992206979,116157302,777525034,161863411,719984750,896431964,276648333,930065072,851036374,944638175,742438202,332957063,764847456,213035382,880749427,224052088,336367312,725285002,267142809,108466341,76046913,884170691,746085260,251650795,14678928,231276287,891621747,564977203,135436711,842736871,432553014,127532906,824822432,294929893,585498793,301225972,232147337,873620669,512151905,251253832,707766032,784214477,896418975,941254593,295805925,18172893,973721530,247894268,247581952,94701548,854148113,95695244,626042576,621246352,157336174,205077955,997585113,350854897,770935971,619821000,24196814,407524014,39099211,439654442,99665796,376315825,892998546,606717552,911685320,313114622,950381865,746476861,310808069,981757307,289368292,124918720,293515050,379873180,979865553,198406277,447224294,986994929,144244665,831577981,881605803,812557879,776702926,336577920,429324137,519450189,579590286,577603943,544339022,410770934,850270313,175562519,571394754,121079984,798163701,375661735,392955211,289993703,479720925,730262546,924086800,151928756,507624958,625751897,687729792,289223515,182044357,115027825,37371627,671070782,410012270,413967926,811183598,256740992,584507147,682153269,657065316,587983135,264805251,894579924,790612711,251839421,425532724,908418620,449954661,245405846,739928171,479727355,535125764,605338935,336500950,74744004,413905083,478683636,408636008,485734405,753096786,156689850,813343000,640402878,3535181,787472952,699818323,765162949,531747374,540854872,994123221,411780778,840237126,242259109,178711743,572635599,233754785,151435636,397352333,478079435,450452143,704263824,99386287,9298028,363657268,746957255,919091990,235076884,746770991,106936348,534380820,837021316,473570052,591611174,697377279,239343647,934476997,559690249,526806015,855171805,386238491,195571360,626362064,683966693,96304749,321359528,456730236,755197914,491055641,676726606,833071212,53024307,771392003,240101495,824260265,788118047,45317600,888138347,265989754,768381614,686487678,880643651,276579806,728865620,829573025,452354428,532913863,589796442,576223610,894287703,382021422,268135238,695681677,487256214,633111640,210520699,617939043,121765745,653112440,403317800,437029127,147363346,32609452,805976762,368133348,675341664,770254911,986885018,483825078,558510489,489662433,576459432,862083822,460186208,574862669,584440296,555660488,218239757,978902721,416018519,981019233,354329165,582792143,261693965,769805587,632579098,738986184,370291507,782253323,980763129,18533537,983755178,500526387,797147422,81631120,622313918,803295232,451237892,964971536,526287144,757584009,765707906,928395101,928223383,841059232,121000150,592851393,845546070,906830568,16705267,540546212,982757919,50973281,246538160,807601820,580923135,612214016,454998415,264485217,359761171,856294564,734379740,978143555,599667248,639015199,340910893,229865339,427580556,252651300,655112807,514852923,142057283,350552396,276886127,71063149,565746213,312419984,136765522,340376232,114149069,600547594,445364207,562235387,581117370,72279753,378031850,865804464,340832190,263423759,704484490,727839027,189872265,154727068,767449037,554258323,229615350,121830625,591655559,55827857,446339301,361638968,201840486,430271214,151381882,301866342,804265686,842593820,213272929,274177725,892342313,973921652,95492985,43746362,728006905,219015440,227286134,612826689,656151473,635984146,864874211,828308681,195052258,461018227,492300035,664588194,902152648,282711396,379896977,966453954,575991070,655214723,100903574,583389662,88078801,722253646,476611436,413507733,952452614,360416936,305529697,315712376,399621278,941955210,363063775,363390103,817616595,674113191,985917391,503521206,29315461,946415278,584831861,693242548,982837617,300538316,201478377,705038472,777909086,79184164,767255931,51913775,558409763,895494228,13846218,490954785,241520683,997148516,841597144,612613929,351146621,2113828,335681201,881045117,573332255,118276468,677348934,853283362,544276066,964807467,678716356,309444766,834055080,565989280,379011552,96619258,856143607,730392256,387102201,269618656,572843020,356263168,239991725,149150716,756207502,230864260,582947557,71702718,738183866,124131287,719531331,611848744,662118805,990829274,917563586,723065527,241282159,750383785,244492157,870728585,519666209,789039616,597245339,761701,882838381,749343000,292844684,396240977,298575076,273148390,326938701,682193720,895846362,844140837,900079749,924515657,72577193,342126201,238450563,288932750,493612165,684428621,838967318,777643414,200242642,202199385,922200067,775868420,918740118,286681112,667747834,437362908,158809633,318356843,972332997,659639947,849187188,9853468,239144260,29235218,657281722,256411554,369308329,457750881,386384884,713251972,142214747,179394754,832431112,479092275,359627024,498349067,374443364,306573058,854199547,885416869,79570428,735582879,115600024,632304816,552462408,374941812,203533966,768811530,143218768,486571515,544752193,683739561,600373448,586781894,639589462,432985275,749578316,709262918,28996285,552881648,385916384,882020959,846861920,958476042,512665730,997043273,511288398,432773377,625365372,671569741,323440456,382424785,478417642,432372440,263120268,92874068,604233178,276920602,414863446,558186636,863317768,569141703,130051356,553383751,796668200,87568554,429638625,254074032,652796773,4529389,643978891,36253820,778820791,905877978,775937462,489001381,722140675,937978843,265737250,335856338,248161169,28509057,40030492,597770835,828167433,934115102,178341441,610009790,230999177,723449242,518813938,170927597,53979119,492441006,139995225,932089640,784480563,932201868,948670754,930977515,298588856,981552231,212421858,232941731,547764671,688886622,324855664,772870138,230590245,912964601,843717703,875459796,370079545,193743447,824708359,368678518,795927626,259316174,699299888,732892408,416933826,718452142,394944293,230880106,199810763,773752036,316316729,267554020,447727561,469940587,30071011,752277509,746587134,402210033,812375918,590966952,357431593,669425987,30603888,494454789,811404176,526969192,231344651,8293417,288755051,485708142,837909647,134143943,330432340,877662376,536578660,716308157,359504197,645472644,151109351,297022231,930673008,465823437,84902109,886106653,966374790,858633247,80297291,396610961,590718178,48276233,590139152,77926215,886959084,257198597,489921147,843229570,397933895,535482356,350857993,402280224,179767896,310255426,886760008,867362962,382972413,708948534,129527805,751994024,461940510,607167165,326349927,695510689,726228091,231945985,467185332,637980536,883925953,908876669,625830894,526541373,42253277,553348855,394576715,488355560,852995700,798077461,496452164,184405549,27631213,833260060,323367436,613388453,430145768,831275335,100528257,669829537,829381147,26036492,433656331,244664221,105731409,159494024,439293440,691177001,927886881,558880688,768949098,720733226,875077986,115826347,744024849,24253618,606111634,830513436,69478854,357947434,725832651,490196295,851122228,498633594,8064961,711186675,669108715,200416743,177395529,792035220,838908846,529870220,637696496,787788548,205180344,720474998,687110157,15909865,954191507,379893107,338164460,437675712,235690857,454361593,649258283,785160398,903721213,24506485,635747426,48789177,358083769,620892721,959403089,37666789,298611461,522759234,543209880,138029511,858907323,353558179,618549566,126858341,996009399,351332761,458187136,927843521,437818257,632928001,749915521,924560962,834679355,606480031,640830287,525966148,452722646,834655482,464428461,751165466,527257244,384827448,129596971,772990696,222837597,927785858,761027641,57584477,732831219,752349686,847660775,535995742,901607571,103013784,197789131,198027455,392418982,398199114,293629309,86104703,178500342,607566749,899123660,346072892,343773781,904389346,106856930,711982752,573042531,211660564,214152083,757893636,26644069,345149901,64099700,583419772,938871244,885471394,210805774,252794491,972052642,196047784,199349164,391785697,938272653,163092495,261593225,81258106,414632129,790811962,839934427,69947310,12593935,329217006,26225524,929123565,121863496,747754577,840290803,796375643,296153578,72482784,465889261,352600643,630942925,163668371,207513289,240386659,259948558,138350602,93300586,690834593,546214070,43159143,929762280,778075546,423764416,928661929,846047748,710249953,573502245,203554904,943042256,337467417,585996627,453806983,843282735,401859555,599552627,966107919,62382518,715434079,648639233,977635795,807743770,96854359,975520210,118561201,855887780,228659867,845172092,378694948,756034278,366177518,724243129,484336806,520536274,380088158,597371844,563270615,750338252,785329953,253354614,907771131,893459253,804530142,882194288,359070463,338234278,107961042,519838258,183852379,65156270,416331369,856328686,273859488,98892591,296784789,788570652,342778687,542675977,580672885,275322258,187877474,448630918,82458126,987029974,822844787,156004415,171344911,219184907,615850785,155618397,863663881,539342044,221257849,321638357,133842966,889252620,716463185,620227463,864180442,768818664,112961522,880859051,607541536,748216033,917348826,100449066,534012763,41131063,387426391,41131549,457325764,296397796,691943940,384268490,880064598,255900122,281144472,762759814,607679373,348798876,582684885,726010886,755187214,109675553,196106436,136427051,444091038,238723644,734790106,836955134,632712404,928520278,804166017,53732783,643801288,668717396,713947865,42926925,27284041,433527222,559409653,319222639,507978331,96997509,383628607,485114135,179645336,217628509,153979979,684661420,358110671,88969439,945436681,620994494,713695100,367996619,617985051,485671926,411311734,263662072,309402046,365571681,518825031,725025794,106274994,257243039,339073066,856880752,241099788,77647896,284891500,70426411,423992114,693698071,97237482,540030537,986784637,305682110,401356189,577247208,749325541,838990545,554174551,174090104,329051919,553404479,511247142,175428601,813198975,724778302,255629980,408677893,599555191,265674183,428219256,361954225,39583609,345209898,323956872,286053476,482343428,580113904,870245049,792769699,760248826,488537239,849814242,173373971,261223058,387894663,689267879,3396297,525922710,934089958,84255851,415513480,99927995,271660144,215888196,74074580,403671020,146791905,23383816,709346609,750926671,752349985,864713893,698465048,891345893,570738870,701322581,432049711,453129299,526230029,52916332,145495373,835339448,294236847,364975605,933306148,875658776,122801809,155651500,61118143,957744542,936305349,112135580,80563010,167340139,194845717,71809109,943409895,606140720,562806049,74640241,988195753,634718868,424117256,2347901,588631659,363504482,552696463,474042911,788154299,162864101,164047742,266892662,742015651,102924081,235324453,507077598,238115929,878317149,829777437,197706637,629141982,563645090,573814216,630532458,579242232,597286121,679919573,395694932,11397510,822212276,133514141,303980944,371882828,247275763,395068995,359645849,864823228,514426458,851010121,389795733,109633470,775716368,768735834,652195701,37488111,328516579,653173753,25941478,140649306,649443206,424955046,753432972,63193556,913402064,924587434,986727538,213696106,999443457,825106759,869832372,782495847,284477591,552880683,666288077,812093552,820130978,977162096,392270060,435941714,812082044,620262747,680040496,706046172,819096205,890037557,872879652,584827786,498992363,403866714,75094288,787208234,276038463,336438088,366937752,686196365,287398310,87590654,215764361,273805552,140045439,819137444,300623786,714817780,73474220,913830231,873451617,683894181,707168056,418994292,945012416,398811908,92776778,547431996,816770512,740297546,281545844,228360459,480245523,867622341,116918754,545976060,506342895,136307285,217816559,583819045,328116516,534254772,605831121,984788393,649529062,671306911,164108016,586017063,215764167,589548507,261052570,688887947,9818077,750244626,850913858,354137735,988052783,18722694,901970747,570265941,24565998,575376838,120226663,693236349,504024854,187002771,688662615,319639972,496033462,794790116,534764117,224629244,776648010,448653974,541323117,30517724,376634134,784732472,649877103,942500074,296523965,668861307,721931306,536326567,569708049,1566966,319101118,504067937,699096980,850510000,299585846,837954805,768190302,843841566,443953946,98121215,4908962,112872374,684113028,101831955,344062399,861331562,863256995,780593114,764978981,417720048,384988742,260270190,729886894,334729786,134608672,144146049,403783027,251203262,746703317,613211162,271614460,433097652,586255066,602399977,40295187,765826993,362691995,197502442,870453789,62362106,855081159,844436002,435730044,312403215,223427065,49873143,896904327,2342153,521806040,943880807,847779253,370566870,31938760,323204774,952357305,474187391,989706548,407479590,59005963,904685512,779517599,856379682,406453270,512366196,274732853,999149410,637470284,579598700,470571016,21758437,928369826,460786326,495594648,126857862,635719301,325601236,820009842,153357873,746610568,307349224,392468222,703012968,222813311,709073629,668132804,277196569,636009502,553780343,721510160,174663883,41853991,264705115,695666580,507298996,236247944,632302062,449429224,526292323,363761000,386884378,982318253,835017606,608095545,904901300,200743132,701600001,389944478,339761422,946264079,15356580,831210727,592914280,644013205,187268727,858299727,828985921,1372943,310211569,341850149,639052181,895901079,999123407,209874292,626137427,529888343,492441905,878974555,353183936,904475733,802271544,839064190,763541577,987268828,350895703,545931256,243793436,402536458,416376065,370175733,882646692,563808192,169621561,424355774,208960658,761043268,636782377,281968537,871268845,149499454,510708406,835673382,896410393,899023027,155135281,950289484,652653874,476055598,164062438,74425368,379974883,530452831,517636586,940347489,559699047,310063153,958660236,714812053,675987472,399191827,804130950,400229209,10220646,326508746,770419741,75329810,539180346,712369291,5663874,856258011,316568476,605288650,986154435,642718347,603696769,737431647,938189478,153477720,72650991,58961813,355546877,195758483,515639216,912696512,765823299,775316716,433820389,550026806,720489347,994769848,660364685,522759006,5395350,792560882,223072425,906535256,628657753,900816908,206992543,339900342,782671071,136416944,202909920,986606497,503539440,925292794,952065065,17410347,647828592,353115253,740403719,296756580,123405859,11985581,905074295,232199059,323910773,713010752,415405310,647483927,808341987,816876421,47996940,556114397,600872578,429800149,147992232,969853116,31181429,659446935,278026256,914043974,822737684,491685049,832656042,479348855,215601276,439410574,359030064,864027025,439188979,541458695,142719501,584684884,826623249,419766591,186805577,961025725,129716907,445344886,232184892,329191603,94231161,156844334,700940076,308454700,557771707,60331659,961503083,699645548,460535046,785568491,464806674,904396830,493436186,186814067,302015248,59511333,770068384,965578614,169109416,207112189,361964701,22985890,778182105,656447422,585142139,970288682,507476774,495338254,321073107,125451049,884569493,502101160,768903283,837524695,578426669,261893209,185432458,154682311,345671068,93759586,2087734,943389717,360824346,3756632,298170633,428148185,680407721,814171095,568399900,462556909,579943388,289369542,414022249,123243805,902685896,722359004,121430,748761491,385789976,10209741,890773032,99020772,788506484,29768911,372370195,573118353,71349775,57559716,135387307,968528251,875735342,732054059,828465058,997006187,559840258,740194092,509125705,668974094,741254146,754120893,52546360,208858186,773274610,792685640,778475828,350830055,288491264,553022410,857223777,579666927,932474985,401159647,846319379,225932562,319425366,15378021,15542200,222569523,217897611,942050136,472802045,805557994,502138031,780267022,707434009,36588592,610858310,960359910,961597620,236337302,350532792,9479909,659072616,558608329,610256223,272084305,476200070,950105698,995318981,746880676,458574429,918395518,231991487,576277395,515731897,634179366,10082505,875563409,864355021,62156857,872336917,273993146,10745216,609172670,967905110,523936040,92961766,263961488,455834944,794033406,677448165,560476864,689750926,417025257,924725894,231241896,504426207,422710107,16396416,932706884,812702000,806404015,951825931,701466177,701066624,120142545,851167461,69932288,434507277,46451684,925211081,579420560,234873694,480716265,959647894,396014448,998573121,194458321,908322783,494890180,359701303,271039195,119422054,271297939,846128755,383523997,380778256,972080419,150069145,389424885,627810778,420464325,665615768,460336056,626652508,737667039,448282346,562709106,31492570,483483590,189550460,165183778,343767875,567919591,112306373,790069562,518116586,514850351,245880502,312488441,884193058,133932880,332135446,372387772,162168865,969692717,233922695,63071794,628533781,672416228,580198259,483386985,517536892,330587148,131683088,702105790,503558956,840033705,864989288,541113786,426211952,8458208,42884423,77502239,106822208,813380287,445828010,589881010,345608675,188448958,960711908,632534373,511628734,693037183,62539512,23446774,17854434,796943653,511973624,1660243,347241489,266314353,717768371,614484938,850261922,27357113,29029923,570166216,225131066,703886138,929840747,122257127,18209399,143727134,326820926,692639481,135938737,991443419,90906615,844171608,580544868,743773058,242940773,122147367,509035863,816118670,649188265,460280776,415811256,188273632,64199211,833736244,37513865,616653811,985081368,892839815,108321157,201486455,669137292,671180886,701496573,539368506,295619818,454077668,119017120,81179241,336039191,811489071,386180248,364633360,492683576,810109618,854490845,850585611,561688654,741400592,933001164,350836133,551515276,477410853,309534319,282432534,647950272,237788439,635359669,284618688,132922920,313113265,463529770,352768742,992780315,9174440,46625884,325177683,206088815,104079020,957318072,215634933,870526397,615591366,886461425,469285530,228717852,945467210,412478884,457170464,874931156,738365034,258764616,350180264,960651502,625974248,480231615,89003849,55408119,374487090,1960728,964199304,668779031,312663138,321455760,708037356,670710645,946219497,169077229,923243718,959648870,660292897,431209152,466527259,301036491,514621476,990185820,254190832,33518017,501482036,274412437,21311095,277249510,169769927,569909625,370473533,920949017,624474338,867031091,924073158,970669853,512375537,804813824,899950831,469158459,921412879,123969024,839160895,299996467,661993522,994337389,568958425,316497412,549100635,938132567,398107189,106494703,123453903,753255416,32383529,71053937,830483691,752035653,1936945,499464628,904791512,323374430,813507358,7726640,507498108,215948565,43282894,581396375,374363815,833994669,742223240,208176321,770820597,356036635,933182413,625821654,333061118,75386225,718772920,86520334,545972220,605834149,685436991,835009645,345413347,417629925,486755298,423548985,945904657,273880921,762967379,374162100,418323179,395379971,908086425,293524081,173018994,908234135,493429651,147073841,609638513,302209453,922057062,359456043,879922463,79035287,149373233,891742621,537543771,11092256,503523287,685089262,474555764,215228684,541902057,442016444,4019283,158700661,923528206,558994633,424354725,737664763,293375026,465801472,3318609,22412915,115750586,987697007,391772360,883236460,709075523,547128862,139546388,326059763,798967910,583960558,260416370,304380166,40209142,868612310,679884906,632137294,999006732,219910078,416704959,577878292,310105899,562780104,293093956,555485800,320353362,88359680,383148655,930582706,582713554,561042800,119760680,147032946,697703766,924301452,889944832,875288538,748462973,817430984,346786393,82633572,687820032,470648186,574470218,996205877,377896267,76864730,454248568,835513032,794710329,603923878,581744523,729587908,899205155,838214886,66129912,526015524,139415075,939761951,745021137,6552936,232239071,487923490,282582754,140887890,744828461,636406289,39452632,32585266,350601966,898598725,644432587,711275470,401193589,587040222,147724482,899149277,217649986,7881790,561374951,921219042,788329782,262995523,668264422,884804435,411357735,842459171,74734481,143702830,944626164,584006151,723274350,845856314,212493627,396753522,779609006,610027570,474061641,288812381,116219676,950717842,614825205,576347056,508085928,791855348,377696391,27988049,954727748,851581484,656590760,615312965,612612931,607052525,362550457,667061303,855044802,363712574,964748589,776410804,619843163,661967159,45868539,513827848,89610023,463433732,854749878,425975124,288142771,398052019,532426391,611975516,21705804,655471979,465805330,52126396,735533395,948633596,965138982,94716937,490230855,638341912,464137950,79594343,153641834,129919091,505092817,108095829,768491705,882068120,314141661,589604649,919395718,974015679,998293613,108767746,45958469,17015055,89255688,702416247,844854338,515807416,954811889,867612873,443170227,696670935,107287508,256502092,214362168,458743609,900791395,687518594,482092050,961462722,920747184,589402920,459968631,634415911,426965808,44346994,365608533,873665995,528599665,915805595,522968925,174367691,582573072,391209460,339580723,697485317,791387213,40604497,980411052,871918875,39697104,880723177,727589003,997090745,47724679,486481655,316510105,736022871,447640199,229766441,522976336,161072455,573205780,270560906,189815650,369931695,142246802,558293791,831702206,947116247,349675379,891200963,814668224,869123986,469841455,894306024,543517499,244277026,892705971,84874982,32168210,508838558,75923562,790903426,294456825,45530817,773332621,81099327,938988242,529282332,714835223,347483435,64452069,934924650,861360937,264474420,235091635,473870955,189303961,305618105,475995560,752714221,678157459,62428451,958007217,324656477,854152119,327678229,626472724,466456034,446212762,207345475,784261101,91628654,777539356,5908986,590266889,708333041,596762356,893388921,412807023,430674113,766606145,72960166,715832622,131360945,394073901,762307877,924081548,12192880,753486333,128716190,839223028,201002265,683166992,420240289,397542073,664411492,733765908,232353993,958386008,870002439,296895476,691351168,961619833,854560590,777758272,526631646,481810008,769128351,903883856,743663387,118717893,979494369,491606873,194080085,900703562,981684348,831786058,224483471,648603684,899182506,904256255,132139831,370912774,208337422,598966416,961486465,728652034,884283185,32193326,86465783,396099661,387096559,567232172,48561037,552519901,870910130,736973556,693088726,780585526,92447474,234126125,642280503,632997328,424217859,186746443,658938044,110704560,39604829,452838366,273087717,288618540,260647455,577226034,120338516,311424339,814783006,370516400,692382426,780415300,286074983,864718134,756981992,178018439,390495024,302192140,429391105,880437085,233239042,675171045,456855548,702009774,321718293,205347987,407074151,821908861,619874843,402401308,13596934,905996484,275634244,706257532,867550399,232616329,334919801,513872488,236232438,705058435,407812824,184968182,648528692,672974917,822083975,462670069,119346145,501550199,512009335,236102315,869529336,198610960,534594135,607296974,989781088,962044943,692821728,403948549,644578728,343740146,587002124,308903028,984023112,837443123,470391871,772610545,126522670,686277750,250267334,618201702,451126038,880011797,947088248,261036184,484551532,321113294,189466420,256746588,946760889,845759000,79541145,797949892,829685687,27871240,910024992,186075914,959397314,132761847,578724021,232875247,474833064,65958179,301205556,466237286,162842224,673848515,920364999,267343835,78245226,137577656,984680998,87860886,794688742,696533307,83028599,472844167,812894716,760457114,558044161,70696653,67938471,164216664,52731757,69655294,526876510,45121267,167886388,960711502,148186371,373272605,443690307,78029979,255511044,440907506,473811877,61350531,284357057,688946012,97462154,324745797,754948357,970647251,223579094,579364243,647346161,510740952,970257450,409825670,934767069,778221004,617132070,381328017,102017509,634298269,80247832,977354757,245373831,736097326,836156089,643783558,984965546,406417065,115304155,209268929,398865683,521731308,489666427,325015189,723057274,813590763,93900132,882904650,768604618,297716884,268161410,470152329,770061657,28454420,927119836,308077135,287625417,364351011,422883215,417042843,554299493,855164678,103061724,876560452,836960026,230013227,723329863,836832832,317236576,181855355,532169448,168018599,194626148,785032330,491368709,31086564,585801173,955845904,877862538,323824068,485220785,109002597,120144860,136036714,783940990,196379089,981895364,891620800,307576176,468260365,172709910,965030130,187661845,540743103,270104205,476261786,427407206,43099955,385519187,579355310,931703169,452334862,292890241,828910589,109061134,595523061,790786166,359888074,693712366,137877462,302533005,806711258,474337016,196121186,22596802,685616802,624416393,789189998,927958211,33424249,958090756,229527197,549636481,28722855,236040527,629233696,611746656,901808916,254232292,337962914,461669513,417067485,629554184,304984283,338249709,658076372,979113545,932999739,587728607,867664171,630193875,383384507,744242553,571118451,657267577,15480770,921448383,532178110,531498418,709102513,478079892,712905102,967107567,887048171,342108648,669371768,417858336,709733922,404002423,990542159,654989328,617929516,553066013,193558655,458947544,904839348,302226479,648606920,979390301,586936597,49054229,218535926,811736080,192002852,102087691,774093919,622383934,573980173,269746643,29991811,252665563,706415447,293388706,480286700,671167998,630478240,975520894,287295947,446318360,359470573,569640314,322522167,622265103,739319095,745701199,102510055,887475444,653525088,715651175,440186634,750603908,762237398,987799332,358669001,857541490,753847489,642775326,778227475,357191066,2407189,902878687,57199604,689043255,955535146,108574322,409681345,627465531,869235679,421335134,155633150,813770746,185159007,359470954,406469836,461431503,622390959,880274209,814553050,787639416,273895743,19884772,967816742,536773417,692731340,207626197,249340210,327446501,995242291,965828267,57620022,50287427,851008086,277234616,261616682,773457611,413141091,214836151,185693232,767513205,193833357,81136524,460191867,171457078,858339248,762476926,948617816,561763884,153850043,709467743,24086144,299996937,973860038,881356291,326352553,443620794,772273541,370987241,205469758,680962261,82724141,298608385,937033670,310076899,489297858,345590444,447879203,423810194,935553213,552773341,892167819,538131808,169008269,556174282,989318981,495041915,738567955,11051833,477395738,814061508,198488098,303212811,715372176,769502230,655117530,604740028,567396579,990068245,257102951,124193773,25787815,466758572,281961845,205057337,896964619,211731888,906610892,101211009,508285921,672868106,392359849,35195822,914895285,883391557,778111240,926131450,353729397,525236003,467554805,33404374,821638195,420634775,532499639,990679527,275282799,99180736,275608512,896023728,353640894,743455518,342040096,849154546,479273416,212405061,414566780,254083479,927681605,41049914,609939861,79237546,777896549,941128832,97791358,924592181,299873212,529429681,817354240,503840368,99448296,493134631,6885185,937476333,462726403,983263402,86930555,202217113,603779233,524973265,405383974,911102210,22452567,303420818,90432373,591168781,632709307,407452552,73960574,76615808,880514188,734230164,778713946,515020281,72377740,83496866,992753020,525913557,2093640,610939829,38344002,447372354,638195162,16660958,121403183,949776221,551176826,892819572,428826742,387479432,797392705,189206693,834683583,906113991,536397382,712951348,21458099,286505608,144861903,177637613,395388951,943159326,372864832,362630968,111948849,122344374,670147933,768362532,18587688,620466631,802655608,428879680,232523594,926744339,369930068,983906680,167796080,454554358,134382008,452483109,189057923,109831637,715568116,649306011,348891761,681966771,856221780,22060550,706899,269863653,963177190,309924100,101310241,516100583,34822825,186971465,176169728,891757332,195017813,723811898,235300878,182123291,351894705,975289636,555746340,518074107,949450240,307967536,949375002,352166447,82998965,422142107,935925977,899002335,304439943,105909155,936514426,53929951,932416519,81517091,503779714,34123452,195444947,61850243,168533451,616370423,623981088,771792635,902466331,425156494,145991807,15441962,230119667,595729082,555485843,792397514,36206209,510349624,890449064,739438341,4757924,752248106,926216804,111060372,794172031,689524697,301907753,855003751,325962497,643730347,676705149,126983754,393884257,895861942,290380463,473759791,901875069,859832944,141437648,872224071,245725313,860888251,689392876,786466075,235834589,184489494,675694603,102349506,826302814,100225002,34398985,174577697,22767812,56178237,827226525,385383460,648902953,632478463,188427667,119979958,501732383,799723639,910291867,722567280,309188479,175682078,939607097,837522517,735424083,961901704,705355349,496961041,297883443,44779246,975533211,404868117,438260458,423780221,382952267,265547020,205090589,669348972,618319271,710375903,385452414,64898165,66202067,629445427,354472116,202148204,705326601,563864185,851039856,278120412,160495780,763543378,962577368,723857424,855810033,326496982,477279337,524437371,533689243,895129137,142153064,198798511,238008706,366359797,544343729,879607889,588615328,306126683,596773421,708404102,495400268,528629936,514915680,422971170,169417639,433529269,232197246,302341245,465452518,690708649,98840167,82780958,481692443,866100781,936710178,257200011,769156970,930368958,354434993,165891451,856449825,735453482,212595512,52490667,237996394,251610577,131883269,658606444,284203299,990788003,990443448,662611395,496263920,843100770,173074355,682673766,992169557,723560930,997505653,221945393,720172440,750203316,532056869,261409517,674894055,8281486,950083598,561567742,705542104,603104293,36625302,282028353,111836018,402096645,256376816,724178197,534408803,197161675,417140877,66021011,13871079,142006862,382397126,372678129,900622761,979488712,883538954,146141136,992037399,940085732,81450919,34738385,617690481,611872320,342616799,499417603,940771935,823548276,624852964,770731074,864730537,920291644,206892658,283618714,984324735,696569932,281921452,682822724,2795194,34810474,222490679,961546016,991819821,855125163,880339363,517488829,791528584,749027990,792566233,769911885,723789195,404376358,212689279,610199926,364574782,291635406,26163603,682867016,875413436,382178577,953956264,958721727,676858449,345502209,976529581,200218275,175581840,874812727,251398992,403252093,875169315,129779719,330388847,446643431,665113210,152941233,317146098,813243727,582157270,107477229,823832434,536992229,250734729,952250109,611959332,917921866,844658586,522874907,735358626,392565517,128246887,671219261,231324543,816176624,822431600,439409188,812122073,225550610,99320405,811877578,159536767,31818105,176597298,481713269,107329749,665108604,601030234,375907162,741775157,914292733,730797841,516785669,639790066,249120862,497501951,970137697,442079827,486569637,247646436,922699253,132219861,985956821,347174828,117894314,12686666,584546283,489802973,85456780,365969648,421462787,945980925,454099501,270905241,578628530,116718721,237250634,251503819,186670007,558534433,158041951,127942755,574817521,92149688,378373628,678877240,417008095,2526207,15029807,810502152,885501486,646165360,180092205,907311749,808499453,637890286,583238084,222752945,337030627,5304346,212634516,178057209,137449738,941812020,278729643,377995705,638582856,199157688,328677867,811334644,621891679,506939960,714684272,271463928,792478894,377252730,839991211,747202265,354044508,680281853,911402325,995188298,452885271,861605340,534865357,293795026,415085564,830575817,269568158,929045668,551739070,587253212,138494099,432439069,518199773,499244291,342489911,513497367,945724216,490095681,862629541,268390083,244037632,654571641,971210629,828816383,371676373,854374569,2869277,388777822,315626881,187614999,635646108,885887990,626717155,165786258,20599600,674058504,302410008,993938880,980213513,57790096,396592703,333278168,872593392,55488766,732878777,542014469,11468969,648818554,862291123,879916599,711022849,329675767,35901718,911321791,137412405,906347224,80634320,256432804,51522444,243527183,308460088,483166184,617060655,205814466,685840867,399014135,154822264,233014577,814869690,299458436,435568159,467161225,429544245,216424621,363644283,531746539,705512708,37928949,853653392,954345158,172994014,901746159,536854191,379049000,337733685,117906935,228936283,362518951,517748704,984834065,68277825,310009757,748634140,621018932,490686775,787240081,253217229,146211032,235998382,600594953,368357038,628390342,426250316,373115086,471593720,915905440,159497932,383469235,6468337,300793392,669302956,724834517,276521188,353860599,862887760,558926611,860112753,729148275,573618883,612107229,574889468,271446905,62524775,283652102,33338281,260452490,358370265,596857509,52979516,359689314,195835867,6619121,202910036,304426560,786469291,842697200,935629786,917978183,819751326,52882003,573084174,521561474,655884102,127963562,509193377,538383740,743729651,372262289,894297929,767148921,100802334,741186734,286686576,686263711,42014138,55050538,362866173,672397011,104489291,483090117,535789899,106774516,753322394,141066064,171569897,764202277,957267156,53004148,300080104,483361232,110074521,337782114,208327892,706680373,846581444,870631560,766141469,327934593,781629719,923444372,539522788,693843671,688045937,558416481,760394345,556117394,24624384,933632268,486466837,493444902,615358410,54936404,977664610,603170610,371422861,273726529,388590030,354123509,852994581,641381817,36537772,221862024,971962572,224856563,616189961,772434268,372924159,200009835,906134615,49420985,284641378,878461777,712231071,703866115,769873013,656126363,456894889,638971732,165274267,144925967,155470202,800340758,399262268,640714023,219669411,874273032,564891859,640826567,388464019,773042360,177646473,747448653,864527343,915284205,760598877,841672427,385694550,794524321,372153736,225950158,10701377,787679039,205928828,254882384,842287878,734159049,365291092,701401208,948825540,795037996,560710245,447140723,768422441,842075531,434471668,522530934,108648300,83896146,324766437,491917879,663038118,475644313,215039367,962916939,461580376,40379745,495218671,682745319,284069834,792819469,149115036,949223458,739249098,435596598,338477860,476243182,801609340,424628122,262457868,15934341,254096529,978402953,423935479,689644008,639974467,270084537,976374796,580417004,195856071,286254387,638027332,944671904,23403372,43615334,31296647,122821281,821800358,933743955,33029713,696921644,157258897,548523983,921245975,381037536,590522620,638732044,404589832,245292619,317092398,442336393,451696173,608917625,273937344,155228634,744171917,368896844,710323045,19127964,561417302,112630192,591000058,295934237,211855288,550415625,523708585,288615266,940615312,564922165,947632132,789955743,466643611,23280546,407972314,382458346,719296642,705010024,303797864,49024495,117099454,966991442,715688799,364912007,849445654,46242070,212571519,17852092,97098161,366639947,532780218,836671222,954990327,410192345,984184240,232119842,948368911,851453197,505855443,138905267,937745585,61619128,722981163,380851000,393603395,567610653,590979738,195980178,926384477,982788821,623972193,433183152,416758874,59440471,644095890,826905916,773734007,317570183,384107287,269730941,59580786,156958716,857326074,674066720,227076936,446446917,451530867,60414125,309835870,84768491,885465319,107317810,998059621,553150046,534414351,314473380,106407765,340935174,250396294,272018724,628784043,942183150,59484174,158731507,159867528,977558259,258661424,284417508,384872119,973602246,572048636,683095150,147214583,70005093,986039017,374792464,970910853,858271677,111162411,182714050,440331783,302236798,103806354,275234449,830175676,113125319,509594188,640391253,143356463,561842589,588875767,496178274,356916799,389437263,742656768,967991926,567823143,189235863,291227893,661708015,986312762,602418279,355058743,111662131,271939823,425547858,678012078,502853605,963117209,47872358,170283034,707915402,94092180,150340294,101809703,587779651,718980732,924281151,145345923,649360238,471636622,732802533,561443503,255762077,310208874,26675667,315316371,692846619,663196980,706761706,760239090,462497832,461463235,685094083,848688834,453537354,208765702,842978652,425802336,419525713,641333403,606263425,309188327,932729601,394982417,558398467,688930700,323966397,800636683,534780685,73609921,25424632,635777570,830202001,745951135,521234131,328828021,288037277,923115308,229311398,11706556,431219124,888795225,451732703,904506959,238489949,58625107,14266884,847481585,281787457,51506424,188648674,643834131,665072711,776981408,598610086,306634814,845921377,561067049,227754108,918617670,394191717,792935146,853330001,877291060,488049098,686646812,756281901,956416453,797979234,958384397,799694888,275754440,819365265,861760012,544184076,481224145,171546998,848755816,509116060,146984606,538497366,667920810,687001732,921631087,955363037,463225506,848202417,749746887,397250619,607839247,916129362,565748590,982276772,202645499,354435405,584944154,19782531,352893674,493188668,5697558,780126303,907728490,979923954,747687192,780758173,582210240,545432774,25068245,100880723,577050836,765771517,467716249,667647737,542208791,235014903,187049310,474053278,254599581,148298967,114598714,338593013,223523790,481551496,789431180,882850529,923440130,430548143,691519979,463358910,157964398,414602593,986297993,12816364,978511269,891917067,50470828,733672589,824992740,486269480,470240495,900585518,722239526,996614283,459093322,165844410,765235429,391658125,781742215,45856623,773874153,804710366,113324183,740304899,599843232,701408084,191750911,841232048,349001373,468717157,335998325,786475315,917700002,470234063,350402095,398526196,514664312,37004936,115896903,172309654,950396232,981303078,135086078,395993337,909604398,936952338,463751089,242581460,783840975,497988886,607874299,761194661,866472974,986519694,803257195,713713148,410193292,308525673,594731310,474021236,959853062,962922785,39594272,54385165,193317839,599516771,476517425,638032124,415177512,427825443,869493855,14578512,378560997,636873316,26493504,154570418,344791121,112109658,959516590,438361717,310686124,581837481,198753779,216890896,700611758,922977764,311134203,20308982,201656177,771317938,169898324,362911544,119840309,789289905,989786118,226528978,831574997,764307895,462665964,260101334,580749785,948911500,356587899,89647430,527828260,626676957,410393184,996424829,19267490,946298683,329630343,679610121,516974884,197164269,348602528,205917177,680038116,22253275,663162864,644434597,597149073,938059938,96771311,404408092,734917191,762408285,947707484,888620072,276040982,176553345,565485343,734675295,995110196,158556740,622155832,800275645,650062653,262252396,791168285,986942902,833469806,118893738,776787597,859882149,39757659,58415360,546574672,11737664,637661015,190955110,393437450,474259696,843672680,81260898,930188990,503095958,518370425,719170188,43571477,640246812,211166442,945472953,769079613,612760126,155411524,35454536,97874301,721943741,688427166,642594017,311096169,948894694,389550709,110541446,846199486,134607612,406085254,574278314,156169343,190869291,388855766,497980521,363713391,268082469,229370348,782375734,955349973,132748708,899543888,619254487,549321102,718340635,247933009,772653783,884464779,148781054,714133122,192256467,889683756,172740959,263308912,964642982,316373887,57018463,897392175,209607107,533062583,88517822,102213546,418145984,987296368,757221485,752009338,897931079,981809619,641583511,347262049,878485321,316513158,70868431,391170428,54749347,264608408,192386638,709065930,502054911,409518219,504899727,464679050,974462207,311435715,434352913,698221686,587094183,15566057,734679500,481451196,6265739,981495785,365846878,54577138,759917571,823261541,20546776,368931502,199839501,95952209,428762441,750209556,48560259,725129062,780598800,613395246,901794021,318640119,42337317,130324245,284636646,971476124,415160554,778950188,666393682,690335077,589593341,365255238,904430553,726475096,257735697,727336783,402718151,98852681,229275990,618377982,128492888,557091995,832238376,134612862,832798295,507787868,53559650,685541235,695569728,295806261,644912833,920351560,201029361,803430816,941839950,201126249,517359766,400914932,988412115,275094075,462224447,949662390,875067186,753937356,275739024,548473403,145652518,649287905,837272741,413297558,700676613,730699235,210057998,481461600,566399941,524940182,856863611,744688296,617459822,827431035,763632730,831787650,94090438,240680867,453280563,75544045,111159857,164638788,916317593,435623829,793649563,881600237,398143727,859301724,111534455,81050918,154900304,435766338,892779665,573285926,108561330,616432907,637404458,747105472,118835413,652288492,826175611,668183033,26040151,669686400,872586840,227881125,648325404,659843825,218509900,629548075,260785028,535338649,893904532,522821741,877628126,282827503,570254615,568303866,919817294,988498328,614425557,43459060,623503500,664627032,636303328,846601150,197334938,526310684,619049058,789060025,686637563,867850112,154139784,261720116,35831544,721463940,161369224,780775980,697414629,145547088,221230954,153687793,469588504,978148441,50048980,117019186,274831128,255191748,604300245,524045461,880688992,541303925,235393700,868264109,750989643,393801159,838425660,627770641,765059226,183285887,828393977,587358077,407005805,755346208,344145447,330245966,653277952,791037848,480469963,990525261,165129978,129342904,435802014,908584743,31229286,33333853,659522029,948967107,926033323,356766237,681467201,672673775,194542944,9624188,554499206,683909176,658915424,330252267,672478137,945779009,993872159,721577635,676148650,552185018,918372895,140628262,727753714,46780573,663134934,601998410,741297441,79385187,257136217,247488653,14425974,986149050,932169123,976451676,215650991,280702372,778357313,973218874,70145232,591122301,106638860,82259984,630943819,308341727,658687739,67419299,340396609,326371351,894640391,904804662,944888383,407138456,224174219,782447273,975533514,808076619,333414274,621647827,960023131,806741528,198514958,482309024,831122759,779010018,214320713,502431488,393805221,862240704,802495452,231605508,652450847,69475894,66104521,374395856,378890881,592964851,148855116,214377296,93311165,710487487,958673078,164315687,873975138,162089425,466077831,894907222,244817896,453436180,785586484,808555297,368831538,46404247,966605528,198230080,87039385,919810160,199566146,583003047,505762735,940318827,387384971,531240650,163464159,673613533,206305521,116821597,425084142,636437447,325260380,92478291,466428575,331684460,511303054,83371744,945411808,451863638,998399487,549042416,195588184,41048384,324678709,218925207,578132615,474512881,888131715,609629634,315967544,524785860,405721454,361433872,453017770,892259124,567026430,713985013,819121313,422010737,765491505,504281676,702381649,283027779,577050682,372692946,185180195,517515333,130614056,225476154,544197050,700962027,387277058,382713705,897324537,503164822,444887701,182420609,873744283,142151601,284062282,961518134,316391925,664035305,611570173,24232991,471119,323356678,43330530,13872733,604098192,588688422,477815164,28066396,551944250,460373571,96655403,519957638,815269331,416066431,430559538,315149778,548579026,144990926,469697664,276807062,830591963,951764295,181848880,936068345,572837639,922297302,609309316,330946439,508778308,138257464,421918210,465536165,371395717,879111175,570454301,830387367,926260287,24090362,960884016,260751119,996609075,111744778,128011844,523180531,192744573,804516130,647879744,223890485,359009507,567955455,574421554,518996687,326162726,871568286,418548285,112048199,890909087,311404778,568729494,421224695,350162901,530242863,747467203,381611934,211446083,883811171,341527122,412057865,811642307,185679076,693170600,788624238,324099109,714729921,31356006,72118479,491162410,901593054,803110250,729605150,855521063,268775178,419314366,753323676,310695325,14882242,584744584,760135015,46726244,913262988,892162333,215206709,809773945,250669583,777730266,19450704,702498879,964618982,267313963,609535043,558209734,495170008,68248695,177889478,146557513,247721302,701384298,961420809,734219767,207894810,293042802,293754022,161043132,33836350,112703232,308818022,917612884,904664444,764605481,721832183,343251085,535612219,879224758,691905948,773951553,133690810,593984604,683971398,689706459,811968322,418017082,912737146,205916616,620772420,973120125,165572580,874491045,377610832,987486511,137290989,390283999,826562467,502995563,783002407,570344785,943064667,970189318,846452798,910267561,606471603,680750341,13209701,468553463,278295269,586389010,215888907,515018790,290759640,393043623,904615213,399187537,483720295,155353426,480587699,251176122,878655491,945782190,196430423,997750136,737070689,654911200,900154099,653028623,519477937,744073449,48870015,200239316,862792603,852827755,764608931,631529838,68492396,820545240,15322234,923996892,710514931,454075106,307582112,5596337,213142075,783881400,503204458,863642973,622375992,778393993,967651055,472266469,12492125,895669047,576735023,822130813,135054580,986196429,167304411,572081855,312889093,133434946,484136785,27619672,824559119,569931161,364774245,144501670,462692314,852202576,879708780,178015665,165811852,257595208,384360173,583044569,328069145,127484629,36017441,166951728,201443580,374458905,214316611,837862950,330948504,928369647,639204931,960058276,292730470,345248316,650427571,163294601,641836373,743064912,794775263,324321877,293118790,485852066,647219404,290640014,339336921,128921383,172558961,251488718,26134814,518135827,817519804,965718961,998183557,14356515,309847210,800796571,698024049,433423728,624395971,706256749,216670216,531234307,906399856,499959003,327123064,605677605,365936149,23417693,799846383,269136168,281086763,978885725,545643835,744612804,461852542,270463078,646302576,522422656,154464799,767445782,792690212,68531666,727570090,72525894,996396683,531010544,42382280,748769835,624205808,917361334,236588044,683084372,889299825,739741424,386436941,161695028,337328517,732263393,555123611,13607752,721847151,688945925,216078132,787473780,216773720,389278179,210405803,115155670,575011183,142497196,934190229,873078055,893489232,841062861,372625759,524356234,705734718,456517066,113604423,682896572,382894982,292023447,150781316,653322739,377341932,736185517,593162607,982179695,18344146,215489687,720125294,292238403,637434014,826539540,34389162,867023883,340526526,182197168,652306162,754353476,783716047,706451325,565701736,918716329,55128814,606803527,281611323,699214000,544949215,398639786,268919645,146984344,985558486,651820584,40965084,211572085,405641597,886035512,379642306,987968472,571318584,388854058,679511123,178404902,619666669,37325691,126439140,718961704,105767623,132055858,451792081,839424105,922053245,337398532,337602664,821637002,590990074,439307823,274112008,822812816,537355043,853428308,212266193,677332430,715807269,543367766,753088099,626618211,88080978,274815962,728566522,452748624,814108626,572062352,387846671,587890075,21902248,324882097,385259863,642963956,115903935,811531629,791276173,491769116,86655851,978170677,727392696,976548235,233236675,470161347,756371738,964215940,289517144,903187947,132052521,926446996,471022374,524184036,939485998,19313477,272591455,152879235,284778297,155648411,926752440,937497612,598055938,436823197,140856734,826702154,695789314,211755308,772041401,815275856,898885101,939092236,332085738,414887140,165913449,90159444,387258040,362208994,593838498,496214776,285234523,456871368,573753097,332272601,80952038,188700799,814309681,315361587,631246765,906865090,69234278,56872263,786848192,180121065,353959013,76342305,482159028,516729698,768235688,644318208,528299940,381880859,979832443,204472572,573131302,527913439,847382839,228761510,904580691,109070876,248715477,490821722,247750636,692003504,955294532,733363377,906421302,38216708,498213846,99737571,659819621,971345624,196392115,399381532,405223146,570308177,109505366,157974544,143941350,975962499,733358050,36353563,806084118,902134268,71425854,693379929,757086353,190549254,370389201,107304604,330192799,638892369,409005196,744363224,144260281,258534409,390744484,424573251,671394479,376480140,92042280,299414306,996034076,802706701,42715847,215367075,152272317,976000108,821481350,185817634,749930474,270696197,893600017,702639588,189856356,474844682,32178996,174950456,388112219,97745755,237879854,591557837,540827254,957274883,469264349,886899378,74115552,598446033,109167706,281288734,910191665,415021408,474028449,826192411,509799476,573127606,629050467,434243062,948834658,260496179,93422098,124933035,380999408,814003347,369674530,379570541,70533413,622860057,91399722,708878091,63259494,306118696,626124869,903483281,243370302,994326739,251195719,716840980,616400017,560936446,711091045,569272026,169433628,422681260,263619108,630679479,129059004,697412708,527092326,852194680,391348102,245425768,471988384,395853239,109281366,334785503,521080953,479227667,962776910,996886447,421385359,284619225,592796161,745179158,682783888,794444690,405677095,339542147,519373187,251376371,784433220,295839397,204806433,326771075,464110799,422944048,283239975,133916479,705063525,512000782,801158220,816118285,176581266,122711343,18130617,287891526,217359446,283972099,389752158,117874017,539329450,778361467,869321699,146584112,546542016,305073073,414187408,302664058,441836153,536586834,132806967,820063234,309521382,245241901,233962008,349444664,926858280,674414320,104286806,899291098,404954414,19417076,558968023,168396078,388843788,725817073,914761260,473797995,259439033,710617135,7084936,178227413,738188531,238820096,663307924,925433927,917312186,39255082,538164176,746778665,14316368,534052356,397086481,888821955,425303363,901384613,607028982,645968304,402958865,80572801,599903073,841514658,136866129,594463733,85075122,416863014,772599426,62923435,906002409,201984976,864338241,454813084,329492663,951638941,673229563,153318228,174861084,298896244,960886050,639735168,191284060,491443708,622333898,850398306,671712832,856908547,445179879,991510500,248066076,698256833,62659631,636809808,764247046,938491880,367135949,940835581,23487449,600406769,989542858,438930091,564234871,138769209,303013160,150244534,624820812,425468411,332440299,771320989,167777080,670434366,249064387,950732628,23839470,12997652,613734055,750054601,433425470,987390811,436147491,391261859,557911767,414728463,307268554,546634716,284628887,515118129,953847703,752229596,246319253,906938658,745135572,936312292,628634676,665921289,470508413,364075993,601399541,570681563,155779289,253912219,474162457,149885586,720679008,232892856,414481343,423534185,543753500,426480489,35246575,809666912,618672381,798450695,709187178,615508162,451099096,659377516,79248,357633383,505025016,349900850,15050757,632610527,488339714,942263030,884711838,518116521,116397517,741026266,416080162,635917488,555425648,939975010,567525376,135872304,995228884,311730060,660459726,631117779,720635282,735076865,628303013,57821815,281044590,257062522,328138316,406968033,177955781,620646295,411472475,454647271,61035658,5764322,506736101,14921371,738388271,259702369,771727834,357032607,296974274,63556331,276675891,754891663,36048852,315827234,49993405,83894124,208523947,364516740,793602084,842626151,7598586,487329444,32320528,645361525,588540401,666522557,307519701,843041595,310550237,491741720,693358882,516294829,961665733,660674910,730413262,712822257,623310143,43927952,94109738,302714480,642367456,193460661,846245654,405174208,233328175,311344327,966694206,249784046,48449034,650156331,715554637,216784608,539419156,783107307,797295186,739932289,581497356,764422806,140736626,78161229,772617845,506100042,993938987,16367065,69882797,771747432,243833454,288170026,355857926,176656157,330647978,40613111,268623801,61783000,35623974,928971418,492220319,476730235,306825090,144436171,125553758,24846881,798006269,570582373,305161973,493571515,6815311,919835645,392154460,83127345,452154469,118326288,355036093,778480914,712439676,666022133,574258207,934261615,654581884,996685295,439938167,972137886,261311048,856880013,136375422,18564928,707079416,408607465,245511502,414777908,63803665,526836738,768912071,151544407,453757663,970690088,164449918,567006218,467935317,777290758,989656919,6859546,870105898,702894545,911528517,653012009,428165313,468895676,339637487,21174704,451752439,453213689,607018573,541340975,635875033,104248001,88385613,409142001,819232821,219602573,70109749,164259132,164713803,980755094,909672094,957519393,726931126,229171174,90708937,903123305,757187051,919868359,43279400,720906524,744637698,818656578,859315224,633687375,109228342,105700069,516322475,840278932,106272498,384202827,499634737,193903156,264682628,829500713,704120328,889534734,31633744,147001,3613636,757555952,125610124,446253588,405591068,877984385,376389163,356828715,790843312,98335705,919276204,316050088,422947613,25635871,984962279,873022511,668642329,141453264,6427320,130475015,98895971,473660619,405686161,308262218,173580532,183121236,678389237,104858247,583346471,235860839,686554092,996439834,525513925,125120308,745034697,766095867,770111731,612706082,120912206,794654493,490777884,189782375,66897223,753365462,198873575,441018870,387534247,74261217,614464818,216973462,478892645,994393053,944660058,869496825,825839658,756357267,548636811,683490031,436104422,532800641,298776979,124837160,623671420,43929620,844267273,731416451,359240453,46117276,724272180,430765440,214085573,944825456,383739673,28821023,810412219,244137103,574316374,350128243,29819005,1247382,480100773,585116290,346525623,827013555,360392949,519512743,330887732,810898473,523572150,547928,588582976,888924043,764065696,267181970,526153729,742645527,634671306,57484132,309239056,643410636,968755390,373800891,139760158,639211474,134568256,609020178,53806559,489921080,385717334,11888830,571233149,34421204,650092640,188959285,769618321,990504664,239825576,537407436,386564863,676356745,382202690,912242078,917535431,106130333,98931852,269267361,908076481,820230442,974041080,73765229,290268938,160685959,829762445,239779924,179218227,421902006,967773668,672588862,651168274,221282374,191845020,74463284,364847720,11165345,488895678,403061986,114570990,164172591,279512070,951120940,45030147,147891004,772106675,104435975,925698914,89316600,463003002,201123470,327497383,871382888,416327261,116346868,775086676,748588738,739153286,717994008,382064649,598363976,953798233,927577353,428482038,64025497,509169964,60992949,741366738,11378006,214844771,957866360,892435834,742909330,615970603,852261118,617821276,886888993,471216066,405929988,336322714,329922405,800469233,761235371,833049314,115262210,123644589,915395421,541643682,605207285,298101848,440957879,396586454,402887104,627031051,388332881,423286131,259449613,990409043,75115104,483868661,655781090,270078343,451589071,462549279,340138595,453779779,824944115,596890183,243096088,317857852,466258276,16282839,277496751,695283119,589664125,311711332,101906354,890193861,163383380,512793151,643426797,990668911,604057265,629125267,8580700,704620611,696964885,94180246,425668004,138920216,852094782,293374185,378586328,127469487,831811545,169217472,735544343,532482335,498764771,276211799,213007705,496968977,689818517,778803907,178431274,738295583,464340094,718663323,422492698,389310969,918929642,722009647,59182085,418017568,109340327,856841760,850587639,949571415,244300495,245178093,38289473,228262803,937240885,473098785,96071831,376858066,821559427,869634256,553242521,519814707,824502550,721067062,632446168,558268745,521512122,83398317,728405015,608589457,365577397,224671332,413765572,784452033,410078097,841983806,921970714,42491125,962122806,537711565,906419655,269097230,229317919,11538729,439973640,401921723,108711208,371142119,2950040,872711588,881211198,166168321,596705875,108403477,777876158,537922528,185724930,169930979,899204935,210558880,853695579,422274098,19502218,626764987,283031632,402480908,5945353,697148970,626382453,995860583,253422437,693646497,56924554,155815891,648153744,432522145,285778297,996243823,468033302,956871303,505626543,683894106,659210468,112182275,199112104,541724077,394915390,414590931,723611053,499746697,87014069,824516968,422188341,607680381,718257322,576880232,893027349,845147616,802854849,342293678,216211899,287224389,551498934,694379854,422363200,827900652,277045077,388433168,588472285,35412051,244942820,232908024,64584580,521934630,161884804,165636607,935511943,263523285,954899866,438024795,258145217,561217657,9828643,917964613,370395035,92799513,327589282,224763719,765420940,847323269,631741480,665925631,676787554,47756535,121492640,733499604,837360405,335908410,425127499,235223767,307068766,732269678,241983531,37409213,636886401,84868446,491977033,747353147,851030172,31197388,794614089,200340826,170217959,419491768,317276899,435292911,866479811,966005642,724790804,797426833,173486727,864520498,83963930,111936333,822162998,868082553,137684647,236953631,422300877,910184632,830066395,484330084,17019027,729135048,367810545,554732222,847936155,181545846,723940824,298734643,652615663,857262625,179926747,875295157,626431222,787753340,198403317,262603508,175412269,670974983,802843748,688775850,986184252,278469555,215126598,820879922,631985141,96726712,648145206,387856461,992672997,210522201,483157765,854507005,244423782,801257671,131532142,363275089,671413346,830937328,298261486,87076064,436117649,129154018,988028285,343877808,212101321,547147503,677728016,319132211,963561280,429239018,303935822,696479051,677736921,842066161,885567238,412058871,457880824,582588751,35933892,949681221,236945432,943828250,232444214,547308253,413934646,216911206,558075217,543134619,87028197,539327735,27338235,449216211,682824069,854522260,717380673,280847898,177888575,114874327,277421803,643594566,798751711,963834246,326979114,603670382,531378152,981683582,204984763,13970901,628811380,164796945,54554069,65073262,136520837,428052725,511459814,356136618,745053213,709173298,264039741,510766781,606215677,520533550,76743238,166579966,487725766,928552155,87529586,311859760,558917895,230711254,36550719,640999896,285558569,840326500,517270150,396066180,322465547,252905598,355849815,851702703,50976361,564838014,942207272,160875813,998703101,281997827,577577387,503148725,657508089,385454933,208364306,60373569,444345040,376801009,585018797,838499672,946754821,848061731,862272402,970976423,805890237,432892233,398899534,907524212,605172923,696937463,41788588,569359768,215127958,533737466,41540744,622828173,787255368,265126446,627450741,384706228,701598137,329574379,329151069,576457410,640527768,830515456,171092532,756695825,329828566,23330086,96741552,782215636,843716037,32641110,479858768,877488614,48150069,955749282,883124289,55233878,432452327,759484333,273701839,543734510,233350965,542549000,424923966,243176247,826369938,800792698,618942576,591465454,112536449,38557628,285545314,613043048,768248588,519903289,714149440,901390312,143990411,549738230,571012180,728537998,818121334,778021790,929293067,325497046,183071648,774868843,806024324,380139097,662982241,925559900,93887167,497506449,928301316,324935544,934475728,635717243,267358801,772916716,912099582,626664081,293514463,142394504,239955020,73876330,268318244,742536399,343627203,625562045,520136605,675500647,699014133,614554433,543247733,368257502,40773663,765466051,143238693,327947127,895933866,433567756,502503525,985065836,717506007,337084464,36076345,573552261,511498855,415192237,629748233,652988202,457527023,112122047,611780034,295921976,464607458,281460681,647364220,734589224,571238698,684208564,483563203,851730560,353364490,940497658,438942336,365068187,454406352,882350856,256389563,889043471,31779796,317591692,320385083,533420612,890180282,828776415,386337541,574170123,52547847,605282184,764525176,3630144,362136598,99521170,424968696,355891747,986314010,776123362,304024196,889476703,692710673,247263792,142774345,931230718,794778245,639066407,536981755,958692076,881313105,926996960,957054294,269856518,53577170,92173210,831791542,367249742,702317587,8792379,678240730,778915393,250862351,67397385,52065119,575918572,31505292,686498791,431053355,159746074,54402796,377498506,468756710,941291373,433173284,875882057,641197579,16532868,782732012,420584626,517509015,364255107,814471347,316816485,342953836,304759290,443566531,934134786,607674469,548805002,706162376,278975853,505940218,19264182,188620742,348041282,110451455,579488211,634652404,441609621,477117410,12736796,332897245,116186313,296480505,134649064,279167017,922271527,297871875,237941574,724770081,535896969,610040044,785294497,907978587,883662490,379714479,41334267,371326988,282806880,472850964,234929073,817761359,505554347,295630288,519742665,54418313,482735909,955744555,385903085,460772580,440968937,476077716,115016417,618260042,203229340,435901032,713286623,352334210,626303116,418038318,983942275,695435805,167124811,578776395,540625019,494524924,720313280,533887797,105677935,182362905,100623744,550053421,427605100,740269460,437096232,704560404,775642308,463038713,666291618,296070278,1998823,205330442,912393155,700574385,485830848,754983092,382363159,758090400,594782906,2400,734396168,106561398,81735870,707322883,240481096,704943783,967209806,871379207,508763415,68087488,349422153,98643097,862538376,312168966,256791805,963837355,17037396,171459683,783635248,855373252,638965653,946091300,313973786,637338870,177405772,852821754,907254182,586412178,987141284,67768549,601906070,62930873,138454949,838538302,926639582,173446360,740972611,907287040,381423274,339668858,647764921,306100972,780132831,108093818,981761565,478074047,360519309,361416114,722219204,374997416,79665698,587717734,732391191,245615818,668018755,514524258,739690989,342931827,452144628,159927635,75728531,299973023,851968370,942808525,868441139,112658005,696722083,723118459,536276052,62709575,188126390,762321328,689670336,510313914,337906022,993886920,715281316,485744830,434674406,373091905,576771310,549561633,718888695,333632198,354860968,313483883,51039555,936591776,221358034,581074656,560475355,78464943,605233853,952973879,590349733,304797067,635244884,714614303,819591991,634900773,730314240,570864691,156049065,787614114,985513191,490065807,570231908,170712750,960987805,874947941,325346436,96013401,838393705,734030921,873466204,368089626,725146983,770851292,892496805,311531581,772137092,408205350,516525615,682071490,476207080,373611228,56873579,590740289,305557645,38096685,894523011,366354894,955532963,746302482,162421028,184679217,905635963,435298253,353972262,768130079,828354015,182309654,781760719,815887529,503732439,301084181,856580199,818546494,48288079,869117463,899540368,698183377,159564613,981837679,249425151,352870487,259413306,932504656,321200320,895206842,344759681,747668406,840099286,874748104,24845897,453452469,452878396,611262290,377155372,763821111,893602406,74505220,536280576,910208373,831102525,753808264,490264059,692415496,297973104,600542591,737519575,499459297,845928912,290571871,364950389,999258546,678958160,213874001,536475497,516337662,916622187,193611046,536555861,189567238,356137830,477801936,325730482,831732431,504124819,434469606,819270302,82792672,986095289,31179231,719708638,639259941,484743372,782550562,257846996,620010177,963544743,958178199,854131531,740300523,680639410,202587736,857331742,250502354,666693604,962581248,365808962,470250354,295209374,58172439,83080368,87419188,918757592,379702314,521079865,560419727,123571638,691791570,544517212,335545328,984805079,860619459,511915035,343745683,106901876,28235080,77736456,38549619,794615865,630279760,941977268,399156559,852340710,663082038,282274562,897522009,996408528,486744544,782421529,452337056,376100059,957296259,254593990,561507941,929396192,332493579,37259616,301834014,912928942,938017399,730241559,548385029,159110245,365303197,368919374,110640567,945154918,470756698,264331902,62402622,602911464,426094172,74517531,429858243,106009494,417719734,396864756,750133641,227392752,809615351,139964303,573553087,254639332,479442429,191814594,496786601,51342363,822727429,541218951,258812113,79128776,553349917,289590040,12134915,892068134,482705207,713597568,446098888,813159363,593610974,654822188,675278887,922213531,194279345,346941059,431269477,356706824,708378429,755758254,257024443,182566019,223768824,505073625,98347382,231339780,451355588,448905354,294487207,685618238,66879130,642466043,133029468,138574402,736404368,91659212,609082023,166987445,751396219,83747562,726893953,163299920,664279075,188564449,220117644,660684605,705970855,880317924,570615653,203953362,196697011,414028396,108835889,463285401,158642406,594380349,408097794,445940066,266604838,310508879,414164911,182505603,879790776,592490523,280762853,25307171,11001480,996061048,135432241,504743734,510070432,11143284,163069966,749287096,901333153,406267644,791040263,188065359,325571828,18088581,868045035,994298635,317565969,438082862,722820370,848977568,351045004,370248629,953284317,485590176,692303493,427588136,744784234,332666262,278260618,632515269,72076721,496421078,485353494,421662942,211776754,264712080,907155112,302746221,853449186,858566292,821429113,803608354,660820423,516803806,276442489,640468839,459601393,856696110,455554035,33119006,726284324,168213512,519652230,534850227,389335441,446608162,391490323,159317945,60782794,438039220,553854984,883591721,656135897,609483306,935026941,86746090,678015254,668805524,621182102,473012268,502347463,836320461,936593136,318404369,840436426,949592876,908677687,789645841,933504882,891668291,914257896,419836839,403660560,908515367,677807119,300044940,45674675,481004223,740093695,724850796,419551386,988369414,769274579,783666462,467738968,661464707,861228843,225945057,549723815,554144721,700234174,906587244,19555392,4091284,808843070,625192648,405980304,645708980,950300865,274658847,277242785,549330566,823055685,168126397,546277034,820591112,745350055,800765793,994411156,854382110,969141348,522805235,661862664,762305574,100096985,780429579,106787438,75672397,4922656,488533499,669074579,950669063,97474279,962985696,216554541,240482684,628178300,16384888,153916785,832409450,645773689,949552734,410243892,505114248,200527771,550352760,358786881,445830793,624316549,4102484,177647438,300361074,231497652,518791284,1059777,100401186,680627689,955715215,106285706,486510259,12313282,771336194,665410402,742755876,525346292,503311794,145915120,773639198,27327732,377623055,238688707,942579326,732694492,106720504,430681223,288291772,901024778,123175420,535053947,559726198,206414933,194668042,772137016,410732194,826821450,685843970,114942212,69962990,205674373,235231960,139388791,117352135,168335781,934452054,865934194,456527126,713588198,375433765,364461240,606610583,335367086,548848776,807061050,10302700,354144889,973684715,689319525,492181507,86966933,172130427,810943293,877210100,650397778,672622227,707854024,289912198,603793423,287458890,619210569,634345013,367856269,647554481,652329613,622666810,488939986,460433625,195298772,686055182,511699556,208560208,904188770,799727412,651031902,899880252,697676842,199027563,21930259,468751952,677066768,565335049,460238949,556648478,960763130,261595819,9408120,863726557,941007143,700330008,131098054,186697235,270771256,157596131,654051695,543068508,181661699,212999220,14167148,439423841,529578556,166839019,132690019,869644190,722597467,324897074,394028197,891210048,919749542,518973184,130020002,676971481,22146411,957946270,646028030,335596710,124204454,589489945,802576696,737659112,527099713,967613708,780060223,20063471,217684253,83263071,892651926,251517939,383097403,234624532,519703983,541773256,263889627,159202964,527379814,845407348,986407067,398085103,302941472,272857088,735753314,676345405,801040575,435957093,322264901,905310981,651225061,698025496,687086033,105946191,807727501,195579478,461091366,841003811,849463882,721746446,824935868,737137468,67138342,910670851,211617308,630312644,892671426,18464686,524501938,493290030,256712016,38388004,337552356,16135259,610559453,174538124,351494227,447340423,370419722,678644862,614839286,694690771,787841178,830795979,78747111,628145648,366446835,924023464,281506365,739008953,947583061,425974538,158340465,562979652,398444334,975572169,442027230,744951339,783495652,853018042,96866257,391809454,411839547,444665939,733183907,301338715,5029412,334266496,785746950,312127081,93398445,316789837,496591133,9086123,150259716,832818610,391842061,851504145,601825447,581542987,736787591,395938862,588774663,108995832,897943190,266501624,936822326,566287709,196108121,426700437,379147563,507378396,104889000,12551617,389744695,636360398,70045406,548142234,359005953,890152810,262989352,265022744,274319387,234496278,943658006,2587636,679243412,657940092,486116036,922557628,833799770,286914012,896881636,753909027,2254299,244480533,993412922,59196745,190630391,340634992,913204583,890480690,388242314,164689025,468002245,420851326,466579486,271029505,494940426,716449541,548402829,117632462,985902010,965613430,518228321,167535795,151054354,868707389,46511877,324993432,786665482,604039934,714266563,934808399,408644269,351233519,642344362,136642676,677525207,569720540,553168968,500186347,79021263,710470592,327179434,457938337,513883621,399299355,111337486,308537759,443479964,474689095,463536323,742862710,88251128,323884749,474309049,454529429,931492544,271528801,814603601,244937907,19966316,203838551,233959837,864241217,370632105,120683822,297071752,773269445,932339420,760709552,387091632,336727735,363172498,198312630,492980219,66825899,131117604,588619912,164665876,128657716,336161256,4099010,599260226,111805634,843940110,882420536,684513140,458788778,621791869,317476546,601123373,361414164,510551376,796075541,62962582,270077516,674878218,597759612,312095666,1798450,890564183,676590467,343898546,183824824,922215761,98785592,907039888,125082584,72796322,106213319,73115388,604249635,680621824,508283677,131616563,249837753,292671378,448527865,323992237,109180664,709686516,603300943,574437254,182938907,919180455,234397702,421744475,928683912,419340127,603003913,502431677,837814895,308815549,291117792,817771292,240007556,287161097,322527208,200056716,696263764,376095653,640335140,397850999,198263966,674886770,176181272,711318925,842375981,954327838,831482095,887230910,669939979,108042495,291625032,405051284,527388577,265332754,748901666,159586651,853169860,926083764,32661925,421172194,692606544,530126998,63530847,706320908,798220839,217520675,115410594,822714819,625583370,216648311,36204645,234736451,394172261,785887908,524533068,141261069,792323480,4810741,5260454,610353862,284881864,100790927,187966162,918356240,737457825,372059118,355681836,620876731,485513108,759626188,346561701,196179597,459687547,804192470,700283288,386896427,852493382,971247760,93712327,326371914,181943962,848151987,735631029,292883450,465610209,962816203,148871769,819490217,223719093,571620827,468787516,987794372,152932960,910401675,2128721,654511336,6590456,520449156,522170508,147351440,800440838,675153284,838179460,814662818,201593052,577928685,958191817,698708245,251171124,46587663,557682161,883162189,235765990,962930541,651855759,458034939,901315154,265378920,169166438,906390384,104492235,889438008,622798221,573298519,15931116,608200480,41332652,257668058,742231946,733318468,588153740,359536256,657575116,696263877,868131117,347954756,934434339,430863112,777779281,195028280,270709338,319783769,414820149,984200675,815483880,212063502,516051807,965279460,796256100,238031420,168864638,873243556,780757481,760614889,852727598,276995100,298826244,582882016,929243153,496579164,323453621,983512777,240151539,919042994,955402911,745873226,476810409,460692629,678589281,561259236,409331699,753418370,7027069,2521447,663746358,556304074,186052160,535411158,888243793,4796231,697108387,909806718,404583696,152640611,295941568,272558634,383732769,615432369,768445776,569529696,775678423,969910309,762084380,149737190,904215290,35631600,883559439,973951692,473914567,325335913,522398499,49990956,86052225,579173450,756822646,346991125,105166241,366408821,7977517,94441721,598430316,892187303,952942551,758306675,77870063,68531674,39402636,154589070,987808262,34652284,832132374,265687873,203461439,5859146,135877875,58631580,607983736,971018014,395659302,138667846,589384747,87898452,175397189,398195647,953111305,114206554,435771449,468690304,151763901,153616649,905014534,324793865,362425786,445613971,70410014,533298662,943109753,99138205,969078676,613807945,277557133,346881415,574211405,812665031,922992149,906115989,323216288,193753664,21384932,849289388,699755921,735532201,388896843,605613584,312308535,270343312,276794372,687643035,282534390,387204739,610883960,80478173,952747027,899712031,779890597,940416079,212535364,465993297,903680919,576559490,638147975,790504349,282452462,219330066,921103998,436618144,114296442,456956811,939406174,754842594,199237860,910179265,139744129,781058913,242418094,417040249,85508845,297222575,297437000,497358029,902245823,397571381,249949442,86576388,319900308,774288723,215536319,649942813,147284848,141973128,70347551,184610680,879107166,841509306,379245195,618988757,786519206,764524300,557642989,646329794,162797993,153970635,351600767,39151982,959166309,544997669,525343157,182832633,791349426,726935992,500404979,301575127,133181533,475324256,468232788,456613914,724204716,33078438,65591547,579336587,472094108,874268368,851934712,33240127,317442702,765782121,177948233,261486538,17243785,685311672,939633051,534693634,653186798,120692524,828420921,262199739,873340154,287538596,608103264,261199967,68517277,937809881,964679506,259547020,647555171,928179910,860749598,573358021,19165987,441877755,471335590,747043443,583633086,171373058,177876824,65176876,470893928,954755789,373797503,424547386,825704496,410473902,526582920,407697522,313057827,48347387,263645164,256371113,498594085,770834335,851903661,12478099,34621115,472068429,811393747,186188077,684187001,123458061,753011463,845880727,243384848,339893253,135359570,898261917,606757967,534312032,655421703,588121559,252376669,135702799,616055349,214209433,386005360,538316596,711867737,851969843,349015218,167913513,402660772,230529217,64162697,655668777,230439025,100666049,117290718,466381215,502209634,229316848,159600772,58689895,38338912,190672548,25922211,62149800,103534088,815504856,756521567,493170839,116426480,714649447,310038768,318233713,740794430,787335387,967297275,227455115,569908549,923328931,965296675,628250823,604408897,745605140,772453297,887709382,995635157,620066279,6383577,245084692,740425194,143630662,82756495,916150692,401428665,615943405,898236333,942831472,952632898,985543191,377349815,424683091,52285380,245405143,387426423,351886766,546919369,929561215,750172521,488855888,266124591,838382624,446361468,532704737,300166008,172673305,933657307,544069251,913634158,686747477,836779972,297714776,460081981,675709973,343826625,258995138,658227604,847822177,551704214,303005176,232605682,733324191,815720146,843664435,810828951,888913038,434055248,29580491,626007723,69144178,744787989,107298062,569453107,887998946,675226463,848515632,284107131,784261922,151274111,718440452,877480239,702665010,278388597,17309173,239706976,248769157,731538403,440455564,918547691,825607306,854335978,774116674,788073273,182336989,710596200,280423224,606609550,146913188,28078818,61875958,663368652,498535041,194470828,813559028,12952251,312097215,657785688,479925992,755815940,186799440,442857583,151830564,144269796,461577678,351357144,744335392,110644308,936642666,289575684,81572677,562433223,745079003,404272999,809419919,382541601,196123560,812596841,372083132,657302321,445738182,153734021,746772455,659587727,749557084,777161862,105653640,559518307,319802792,992640264,416040878,276828213,509882869,96328018,410195495,499598670,326556304,618620226,136907283,527549521,58151195,98684956,240333860,983665222,17480482,280503589,868221253,256345009,969202761,312178542,944089903,964396389,12299489,469796288,964297044,157566903,364015997,319103717,817892418,579021930,13677696,81862186,552268366,145225733,388095503,835391628,899739479,319232009,741650706,259035996,472983593,651203832,645633811,193106569,23591317,148115254,310279506,513486516,847450668,45400720,489956078,527481763,765286711,464628520,43814676,245624788,456723528,709087979,374794217,933408756,660895036,927503873,148415378,194248852,890876037,695777143,158301504,755698743,602362757,677017704,657889469,534924368,906157099,382047775,68279386,76621292,604910747,283898328,453566602,443115388,31641528,725517746,591864580,90808422,969026338,190882515,416617419,157758160,881928648,629865722,800165209,511282808,898696760,578525058,371514080,49131097,126668129,186068404,427736328,785459346,23767989,669984880,890020822,402534919,69056634,848663083,974292456,622632991,84774312,330073660,705731053,659224886,564812260,649993895,385054430,639330675,494642764,763088190,86778686,840781219,895158191,412067119,450850376,47635117,172333627,91271992,788572284,302401653,800347516,794689606,700740291,852590826,49249717,818709665,647090186,75581632,316979279,836540000,207412402,341122333,904925442,17970509,804488249,181088845,457398613,641738096,521076958,399535905,927038206,531581514,89755185,568210035,264083792,438147707,461067118,155435223,398745882,428485169,841376145,888486503,433938380,479839583,236777894,889109990,767959216,276015167,923418640,951730010,534519502,699641113,380516833,199557862,174042508,492490188,857719861,652378172,825825681,177262010,773390060,859803241,685291053,94900922,280171837,697390878,904267490,405140498,631378470,735534598,949785971,120002797,309548330,392018343,432632349,803442113,319940288,171938115,750132408,395291572,274433260,950621238,953601888,316724827,732615007,709398114,357961232,226435930,463719669,119004500,926046566,375367143,456280577,897363230,321707875,362916142,546932742,800455892,354747381,507935717,103050101,506884744,55819037,572143961,514826014,735798258,355822775,621152637,744207156,325624090,461341348,449653283,572669991,67842315,908180319,640268618,214377936,345061032,394355323,363272056,583544296,628143121,464769054,922713954,15093013,221899731,759359213,661226419,394837828,462854204,102577214,952013726,29268988,559480792,163067244,799746170,143043352,456394057,613172581,390756588,603039635,516751536,537510974,694536720,324874892,947905364,143363324,517069727,179807105,172570294,510718023,743288959,791826781,841717186,885627222,423890772,577575354,544384027,820901164,740283059,858971381,792995135,936553376,851461564,782293872,693233446,461509240,187624377,791137831,784374961,203830873,492588654,308808656,381023831,875252069,66785800,928896491,946135909,295777704,303528680,59465674,499892963,736343621,720898217,136177980,191790815,963639605,612089790,553735257,652603572,279565238,284811676,802051791,331824789,420300691,385533274,128219793,475295901,297534144,535879851,573286487,742646615,714183684,146112243,139400012,746368583,566102987,553941001,264149160,125034729,515789662,542392160,56327781,305689939,737888971,58360682,35891408,891629542,171201773,956858784,481267569,141956424,18176841,62093440,291526336,389045064,104831872,386939601,992118669,411185546,899820633,505699349,396925773,227287069,567729032,994329549,928702396,819829153,349309642,890228519,672642785,872605296,368046973,154831670,633639130,217667319,165428127,741162097,678142049,27491680,453055494,170509226,923958955,319488734,623224269,92762864,248798156,967761957,998710547,777616116,196065571,145225836,134357071,461790303,576095229,358107149,61235146,716113754,992352141,313190476,511924580,937347609,41375478,51775066,530073957,955109316,916994986,260081676,709431976,697558728,962020390,996588840,141125234,60590577,966654833,155357884,102697907,112898930,8750637,614723779,24143598,47435647,117695370,765745083,467003640,557086033,931497785,547286816,599040751,543317106,204924491,851852724,550990846,177871652,549411262,674929463,693983684,55598775,933420143,904858686,771046057,251906115,479599854,244319877,271827370,457121060,804648012,898996298,787583321,350011602,769830665,507106790,328268200,9504213,246428039,579847696,483007996,772344185,388853114,746161209,937911085,215218066,881279093,68265430,694006849,40111062,709556927,500066158,107015854,569466694,604127736,390527271,855376375,355085380,31751835,782308835,314041218,907981606,103624655,987998306,35968255,930621935,675955959,859345023,927278408,953540104,992801210,182504195,383725050,276520873,246966463,391205972,212005696,690702135,186650932,630398988,481863705,820015855,442326399,785545883,841273753,92426057,449643783,189886063,138153159,396886018,739599060,641413452,24476340,922971701,893629356,985437278,586641179,509379420,555732712,505009851,671905716,556584290,289599284,139764999,695277572,503815554,909325787,621298816,293512420,248179018,383133127,968070236,872969345,817987845,652179350,378207171,34177948,70241621,113916537,478378153,908929536,10166896,699797025,147754948,656537505,579940131,664465798,996233037,593335905,918064827,2065452,646937142,394751358,119065882,485852922,242470264,347962003,17657596,716927956,81373929,835611828,630184962,482982242,973654650,976377416,326248504,664195339,44276393,501270155,187746381,427395652,366401777,588381632,56236201,405081809,78399728,496785917,284161896,490287294,502107933,996130009,947183803,136146833,723951808,181920328,360592448,439901487,742041754,557296007,847825951,511586277,823812031,191815237,727731252,925854096,413775230,476750720,366711887,792758532,816942176,997322568,145404730,602647887,182558738,36807904,872052864,315192563,392354005,260542904,580706386,141973022,511510520,107304785,400632580,243670953,326191509,411945471,675713528,526957650,149389086,179364331,647778848,138600071,249117340,546864927,979349945,67808872,547041736,512150929,147077767,576105543,645945672,127974098,681299234,312340595,697427740,700601900,657776191,267335493,918940571,806243777,703088867,742171183,8951367,809116931,667411335,917100968,378292853,743198626,83595656,673674792,416694515,170769902,741094564,200654720,968594408,38946492,383169515,803482351,548200916,287857019,371909539,410762153,668456788,257618086,83225437,222298408,643990538,219077737,303315224,840702335,85003284,129613337,378185304,769344296,506312307,296624102,343197132,318442114,571254354,800861788,109491652,730343462,123117716,520521008,621304375,352658350,659152786,651140117,510695816,847572924,506365788,462408197,458119812,745994505,468807045,896804386,141332484,923660756,808135126,195159726,668797625,520779149,129325566,27095726,939400343,206158841,535088594,139027203,863703791,498885699,976596021,714896696,819469678,1279997,90365482,903798754,700268470,870267946,855640216,39457079,795480236,707019362,108365705,612370460,439961296,618625803,785704098,629524918,358669986,353321846,527198276,265881583,386829745,91537597,426036189,794311266,452522100,893410293,646958029,978910282,875048570,816664033,547776577,148831325,545281705,181893272,588376625,62593072,888920566,313325803,78359331,381464578,224730194,404361952,975407616,464857567,915028074,716394403,409223194,669537840,518372565,916535279,170618544,364985000,180346444,534089468,188250689,110435801,76054691,325076645,224336409,338296942,952959759,298918395,112708497,28485961,392773777,106271402,484200090,139616303,868349938,124123113,413287692,961573763,911750608,182365930,611526846,188589527,477527507,540301926,133540213,749299777,894949049,971258674,761492664,249214242,885086884,429147401,737787165,982556888,863846614,115721024,938927586,612661859,17091504,267060844,778239705,458136520,883421189,721172740,615793083,754098139,383566737,688881149,259641751,456252274,413316161,562039340,562192441,657022339,825491338,364605250,248927821,204332727,21115867,510692262,547664591,27368304,626054110,453477733,965426413,585572958,894198098,845202972,57197158,582307377,829596124,77481595,214923002,488494530,31254777,716749955,663408918,639832850,45551037,88577302,960775348,675777393,257870671,430844645,86126314,325639211,595215303,66682611,323588591,898159938,729765373,11361702,857244969,630428198,344005864,481615157,658026623,97544919,40361661,893515481,766527939,424658384,932286115,269103540,333073589,784319589,398354827,197302528,494412144,583078520,480617409,518234867,177659258,214449957,20963735,900367187,600820470,320312511,495578462,283645598,508062608,628218230,37482362,239572250,512315321,725284373,329358694,511101447,17083723,181215734,430570474,156212125,567079692,566874172,123539018,103484222,828681010,167409191,121506138,267206966,856688470,56361382,722745969,847272439,437591959,319565600,392298627,481204969,666056962,782720838,537508427,625053504,820013911,505950233,402501589,441291047,156588594,646148518,597632784,38704452,882438880,182831039,201861877,214871672,347776958,498966166,13991764,186628637,439574240,838784693,483188207,755924290,596112254,802433472,228400846,664005281,650094825,506397465,439217975,305561355,54217457,600511626,490785232,1649907,748198621,645582163,777058810,201541310,57009871,579221951,541039822,471485806,748598385,615889740,546860529,330406932,322731805,982367741,818703031,273296534,43035933,657442515,982472703,481021724,688884116,607818969,308607606,703894795,160710333,448703867,470892206,675198664,325443419,329269404,292558494,923915177,656166591,216923439,660414179,753500699,289755539,620404950,601398870,757483412,178843327,983829953,112013701,866733650,369873708,169291068,946381508,723657354,501733586,765991423,660672633,462432433,534678965,960114105,478030057,576741383,927244947,568691151,337841329,800298708,663841121,123101591,31311010,68366341,65165974,600361210,974624309,838005743,577896194,766078471,129390525,818814813,686624171,551035884,46879852,317890314,635665688,487841437,300655302,78056140,727070939,419063024,35461523,869303525,290644421,158898529,36591900,35932549,491065967,449285323,829778130,761092654,953459382,141711666,87519509,881631857,485437614,300335821,950731292,580969588,940335515,874367637,681873953,110323914,512987426,793764117,164114441,584875946,599719008,343366864,317639726,286574686,223429676,109626798,271232912,805229066,636524151,399512727,728031157,183389042,240731497,832918711,863223866,701214502,785514330,757145035,638327644,486896902,210683227,709159461,893785527,714707413,291065956,999180266,122549883,830609307,846498912,16263862,128743972,316450436,654045884,2667771,639740716,595030690,814156724,30060942,463033516,425135015,511412426,399096923,112030017,385210716,713407011,974495556,228396928,803477439,428612817,340684355,72070760,661050305,145548457,41848067,741469985,596122892,827433175,420735745,963880730,738094746,263156429,449136427,399451173,342636970,581766334,96331502,30635618,114056719,240169419,751723815,599882908,910300988,49418037,967270681,101121314,143258377,145181715,158797876,585227295,23144662,324317639,685286511,520305496,509810754,921733454,50741067,878047818,736089818,15273616,323040697,30108054,15068584,58471634,578082785,20642577,286970666,730836577,607705242,555594036,504706512,582579350,83851870,692968480,594253565,69355371,652810495,572877221,12675090,278374149,532340997,149499197,715393047,845510390,928969371,575979034,680217443,500814202,119577756,506931006,101649554,198617091,518917334,499063175,492713623,858866802,797638168,295227410,882469394,971018232,551105351,739936130,503618350,559698672,618570125,960008051,863481674,972823379,160466945,30720638,445961060,286895704,458040928,302542247,325039416,479504528,931417282,683967532,666139637,9991762,187602289,458596573,818086442,242830795,122597351,727616093,123368857,282625062,567700247,68607397,914037843,147696028,687194905,866005643,978248889,555420622,727126270,640616225,548698971,263975710,329730182,436205256,568625402,289566410,645796652,278832022,139591237,65490675,665248265,687048204,351603338,584771907,502139850,705085022,194555831,114214203,729387849,413271856,982113843,731114040,611240364,894952804,432362002,579196880,788832870,442757143,787490007,729317446,961282976,331606650,388259442,162412649,693372406,163655305,737570121,386030526,265107968,304725384,812938031,443370736,434792423,500793616,592545986,745377341,719552500,867609304,601099036,607883599,998057841,789056402,365658873,149088710,308289341,430274004,345414421,340356641,426565857,172990618,732893980,489388715,37016057,117067653,809157265,730000686,576105973,429487411,318150681,625812265,913332975,669343980,205587230,184749504,393830158,154991424,576042862,477673738,833760365,354231984,814955152,416337635,281175219,315628929,67409441,366689386,940485182,920961387,788517102,808207830,274637504,899500216,552941030,839681726,550615209,834768476,175688311,767414138,891283798,487869796,779908830,262397563,97957945,518098706,153345380,338971039,994229640,490068585,946447166,678583938,75123218,235576054,513454964,639419480,77347963,795890683,159723456,569050398,623873583,125638143,253964077,613120119,307009781,854050535,523573170,714981420,735043974,117609445,873078861,821395210,416884431,551841717,920180672,445619884,661170098,465506917,364926006,125389213,170173885,100910327,977123424,146573031,970984521,904275789,489280726,509545633,596709755,950887506,493717384,522869309,706685638,49693980,599015929,726781311,880241855,443163728,571153042,647921132,793190240,512532854,282023390,809801873,111727026,973177567,613751497,769784802,507304665,571643155,304539836,679568797,161684763,286298293,447731745,492590686,400021136,611999579,768517328,33340443,197160426,851347989,382782348,437827909,49122159,14858325,107808501,642702771,820265079,908044217,975192565,42740071,301569486,261609215,483783697,270845855,953525411,433334045,733915151,804122035,837514072,354035885,42231432,804131838,533637918,765414540,585782503,254571584,284420630,717248775,823482331,67706263,420823869,594456106,854322358,513724108,796436270,167121631,277730292,572520115,387455970,134510209,530854230,770485945,137770742,653489764,911450672,169076299,973178465,33325229,583884415,298279630,482710605,979898824,578986265,967704297,927480704,673929354,17265624,412209691,483584233,465444235,91759926,523183038,671884341,772191809,241990322,451363386,23746642,328530889,100439015,138197742,454265287,234010943,235321965,286354839,11399980,442681280,395354176,196387261,526979845,979069696,384445778,63922004,448449347,467370161,12501931,525437941,844347868,363993639,123390245,372779450,438871378,928702535,922774227,275955025,909268037,608648648,851511781,79820971,477676219,82909042,61552992,272303691,453058165,993740161,566756540,671139562,700984913,247814663,988630482,272647691,617940939,682088710,929502509,72528955,228647483,924385736,784288807,687504084,493172243,7410409,859693916,217420272,972954735,660448464,532104048,975942124,229732924,706527599,571326966,193850527,237189012,401193577,127124624,269099324,68791900,451538840,158570712,750202343,316017115,165738112,557182428,768177748,856448411,323678236,640304369,474279161,29826084,762921065,87921973,407928921,436529019,501224008,486249084,943991388,946188406,384685847,231434383,141741953,680389033,822665682,444399901,799183797,663502868,525755303,487019121,678607004,413471252,975144104,600232661,410453636,125643759,995333824,625072704,656856267,29165491,995396459,698351985,179153523,264982931,962247732,216429303,930388221,797840513,901444140,632566162,443659361,147257622,281229688,785370406,577252509,731936559,273753812,76779878,380368629,644275718,573230520,493659766,266905553,243566667,380853726,114931170,430751495,802318964,919127446,673178934,970375091,907607115,319313506,587301254,250999742,258792256,447081012,468733794,970626616,897978065,463664449,51397328,539144356,728740584,837285070,851810376,629764446,787280916,443292918,298992759,369282910,864984646,753903636,795916933,688922010,838829218,94284665,15509263,479376501,561458676,429169887,901950913,687756508,687355375,434569662,253369819,224996566,841357494,114495548,886494687,812746448,187540856,392036841,127095745,327286411,315200890,84297428,157246599,763142283,637770490,832677583,483569130,970479427,450326407,934091187,381667328,290242337,745057995,533205288,596242510,777546839,412524307,847153910,72760249,378715840,597103228,612559387,931986257,855861072,820309088,605509719,528765490,750796560,311999270,359922248,382974881,350854819,992673088,733944253,437015554,440981394,417248658,131439216,921810301,501725205,620447276,223802491,281081526,988528589,478355744,959214946,696577650,880824010,404671473,327341940,32317431,20632093,91096564,22818900,508487342,202034724,57999344,233609823,985933648,612612331,447616295,891828679,353172084,539546840,161740521,389477744,976353332,377773136,633080644,471328234,747249619,569689149,549460196,14799733,898787794,379352341,877998726,570107923,194509816,320007186,463390388,308607781,654123396,711851182,304809894,617155242,724319137,367406963,739244270,87910673,746819934,1178927,223818234,554632586,170983226,498414774,197951135,757131737,980448822,125626797,487202159,810996759,310736614,444506831,140418853,532051654,446905400,278577398,527950683,891820968,92906649,329905152,473144030,43814803,461257283,634758102,405923927,29220667,680335797,542156697,477131634,314185414,71910901,785906496,252926479,112854736,678531333,556628929,741722780,177925912,175365762,553537913,453923993,977490551,397779306,801129699,191616718,229632237,442420621,52927797,79284149,386709118,113048869,536654831,421800798,541397772,595264521,472694126,640955324,165745531,154866111,743678172,46045478,781287616,216750854,476770061,706449057,306686175,234358938,229869080,172751777,42956039,241195090,304152759,834631911,757190040,920247127,309562775,369773444,230361404,305073218,567408047,840825590,958762400,107669202,515797060,476521963,442557479,249570164,675065553,483014817,941495359,116372705,882279888,758708275,153093552,391149479,484238397,718314970,963258005,691794246,99793208,6338400,961825228,947006026,752473202,161659130,182496786,3122622,996353371,150446498,980812371,754700903,780407038,802268842,947780711,530444064,74369919,902045066,712443016,672046971,720031995,922881144,215081315,2250549,998252364,831236137,741383722,149891404,86913957,721854944,843451921,218572964,37230118,758772720,661958072,554509729,786751819,881667279,505374590,823682180,623172397,243120469,6539839,557379213,949475248,551823191,808601773,315679851,223597941,870088954,443794246,393456967,512552598,57799144,13360621,669560115,623026901,834837175,444927581,876725919,911501941,134128261,886925545,930224105,965896857,292879457,928914934,141727616,935680434,51851171,150396873,24847966,500915562,486757577,540019214,55853489,108621927,737156343,151923591,973143029,512270629,327127090,536883356,185914975,703842406,728797651,540188878,42160700,642880945,216563644,311624814,151782577,848252666,189560895,489896391,606673706,477062676,446644148,778873783,814837387,692753915,298254874,474282593,590440383,373937995,28664783,290759282,478670892,374793239,152668103,256529599,361741209,734661330,629656470,101372930,398054724,9636274,700938601,394375124,447839531,923825587,883887936,109190820,73982244,829186778,16513258,733663097,709063354,156942950,708088710,142442430,623079224,905067813,921787352,194898122,756352724,376358456,427240693,23008617,121954673,80670576,730172577,398047139,880342786,209505917,803036246,986832779,516548337,348678032,697340655,80870953,336297845,590579043,343049269,941476688,479867074,748968334,548677738,233667877,867548695,813565310,133826010,863315175,65369616,539960852,127648788,768336751,879231011,72685788,681114404,341483393,618641504,788543415,360947072,262332306,332846017,413342482,492065521,102755137,791322677,711313182,890734267,492150585,125125008,158457087,97204061,255896443,21662273,683490888,302721519,989989035,355583540,237787066,561453197,828929839,164861810,192138276,690983548,949279993,484955415,839515591,681853964,21380012,295171078,314087392,40374860,767869541,545272218,212003252,694448309,44344931,294686192,440648271,20916910,304839557,442586723,849649902,504233930,919804906,243756418,667790619,94325456,197539560,839452643,224087231,627657281,837977546,62922730,331375971,656602411,267306152,646542233,487011467,420200739,970374781,193136116,259551460,56982938,728288841,877085417,398787597,645414471,716729114,522970862,289335820,849274957,985782289,330336549,147831414,466994242,590239740,321187523,794232676,275379993,255595671,414539271,761754840,226070463,279749557,732716955,811049178,267851811,827283297,286282041,425923377,557700597,462224865,110283250,79349055,755741525,502338110,381407165,190857386,818974661,599482603,786949806,385480110,59045835,157508595,182230741,109034878,663875278,414664510,834570591,162208199,201896677,73169007,775056072,330562395,815702053,732871952,386497876,727735957,297512344,81102614,64476290,763774422,917856597,642712557,805370903,704418524,661864000,844613262,821173623,842084599,945420882,520178812,773063105,794559769,799900264,328083492,257583309,641450022,959167493,240352054,746212096,269576727,954496482,329632531,968567750,581413162,219409399,72863109,860214367,299985002,63422574,809876326,780785206,380595378,25228291,24290698,671549493,803549511,862783237,540871561,973377335,131801959,11176116,914264846,324107268,918567020,789962631,121197919,618432354,154456435,739408644,51975043,757920761,714140418,873931170,452598584,292123373,374357692,113426574,552896353,121348198,276598753,814778153,289076078,917730154,581892186,288423807,812924586,436475971,440860691,915416455,45972390,781929164,108115081,67895699,461145967,400782986,343751241,982140232,729460550,607555884,892556185,481211205,199154478,941194400,994988401,21201877,64975225,331511033,89723152,533112592,654513138,382203987,25875181,848441524,924504106,550904921,247212425,400103200,778578014,946038035,729967462,792567330,953244200,527344015,352484943,669514388,534144817,424467032,9675580,352381485,666843361,44034870,541153935,816210145,953213442,407931221,704341148,48330616,514704450,144695788,184403991,62960299,191076319,644998535,442223021,618251637,755340441,356681774,218131464,2978461,450513234,56953981,480386266,918847154,805051221,979852035,118357490,602408901,553500929,402905028,903200700,608983836,405465625,884447450,871320490,574492645,712721281,545141199,643122217,455215864,369286023,829432298,776340057,746110064,68400584,694929667,995903084,849605148,576780248,297871623,303644935,959665945,452916334,504177808,820330346,672231643,913320081,153716995,764632276,778920425,691358472,484676167,95821096,273930055,520933369,204880888,424771231,200001599,87544369,812055738,538360875,389588008,636287768,84756670,254316911,135791788,16698340,595254671,129897621,756266851,27945539,246861100,722185540,970046209,39132860,420284908,109249154,621775209,793429254,477823184,349975049,467697256,283134610,7435339,473904132,703210014,5884256,493905062,383020607,422180150,645579239,284678640,278157633,843814632,343164063,614280810,207149706,630108890,302060276,142419270,411896770,454642609,934066465,896529156,146798296,504507378,958966589,304013059,948429585,392481251,254044560,282406870,887025082,902797934,539316751,942190980,5252342,999409064,50427638,104863710,141514226,197878183,617105815,108470700,160936855,571960966,353857459,970714138,792518450,588528770,323896906,677665602,223925331,645076183,993628448,730498993,402415856,446794188,945405635,448390446,214111759,74497214,184142502,813117555,668871099,783119305,996142076,226135507,577796324,329545370,988992000,73044736,411465544,200504287,924848901,177046628,989795947,130728192,997915863,865837634,661184773,703324798,262713345,28593644,996184056,142245015,19508658,37681962,661981888,492487715,667415848,305802038,173225528,685210486,864388607,225597345,798535436,449389286,136315069,32345122,929895305,147323848,677431408,435047674,710520022,917237286,802170166,596301180,330141808,966573354,486292390,343187508,27664074,619814055,215127628,714645534,916021956,760532089,238737276,472084060,512188992,27980516,126239791,703842483,719181325,872476177,280828447,998014522,810156848,9095615,133505117,964341752,500824092,699278322,417738879,821867151,761302150,273113640,529451739,7504309,408075009,10481411,74292520,747006173,155794391,612619410,242364339,795031449,271265863,827379559,759365341,794503485,308729031,924636219,831682905,132824252,179956176,292387844,945907836,211902044,506896220,192162599,288497260,908500796,607926588,963885398,315597984,494049563,454462008,437321629,873175947,200142483,437404520,925119378,92051283,561832924,782446142,461384531,558199564,594402860,402201002,156307356,638004907,731912411,532324848,186539354,162472138,865653607,613957306,734426270,242605294,708775200,779255108,780575404,874213601,886138578,715656599,418436674,375892373,576968504,18837905,14295565,207589159,437850017,376276578,166671335,826636670,487924644,226221935,906397620,174988783,792880388,206995952,816055216,428250773,817658744,684993800,82264763,831309350,458138684,49574207,270808604,825151109,148770538,648239351,633278693,197076205,518606898,31609875,962334258,824591239,997100439,489774508,951961539,55532917,659325538,176288451,918122177,723005631,253014882,582037725,263157487,3226987,796837840,600602947,440564985,323683983,370872857,385407079,522181762,920803915,964023237,256516454,584141566,740520415,433128581,509928724,308512547,643674726,549080964,280856286,393373043,948578721,698656914,20219761,576665457,875751145,409713218,792417128,269686833,448714061,144745134,648564912,584178303,290170274,144220609,306987168,40841974,430455506,566729298,421638541,778783083,17289484,665864060,536448907,126696701,167350399,266735986,409472452,976393432,805632957,504865996,623642531,742001966,326660963,855964451,561728230,988533789,369677775,761348118,206908048,285112917,121948112,10216001,326844419,371012682,799016679,499123420,44877962,598595131,55759500,51703762,738088616,98209656,724348010,801684435,312997755,192933405,563251252,77398632,799269973,115590821,170009480,2228651,777714936,382386619,405782582,777244192,595426642,916499213,385705294,349128092,928141415,827376584,716968143,603054543,220710078,143824763,254336918,21548149,303017596,532072341,456543303,13156810,693132247,164645665,311352402,438434511,919757848,804380068,831343576,281023015,76366074,881646710,88084156,227155845,113409937,627831359,104898819,103785588,208051426,210291855,858669765,68193698,781562175,194933864,715413339,537864664,426704775,884411200,506387794,538414723,166925336,22617916,899135438,295979381,660818380,259192009,568165232,887937943,889030957,659348010,68200141,638267214,907878763,449360680,619530036,486146957,157855016,113905829,607392571,356861554,388402264,467556083,776034722,528301974,130837829,917795250,412425595,298454172,713167038,844658626,931759593,596015297,820499906,934172298,923506507,935338128,63807269,551927209,299286058,131227394,8229835,940560522,3897516,160616183,524416544,857250389,696924628,190758067,328678523,693607113,564963428,50942004,676453069,344114809,694022431,283065256,319127404,197135463,670145776,884206417,134301145,850926874,440868563,88579426,84462250,364416619,456465163,591586491,19282466,491689503,305745803,227096210,911057582,752703061,608129018,94112366,768584995,924799472,713539276,423324057,460020059,328595831,834830060,482597770,633175311,258061666,331582110,275220987,698049269,937872083,808084221,673665839,48404513,270077924,239756875,795473322,588518689,116699213,406211939,897031828,147768788,268451755,639755930,677931542,441388367,695919727,896599985,79313427,66418172,556643467,564347745,208554987,636279106,826963082,26550350,9696371,901847850,17434915,881515122,500383346,390089535,984749798,396253174,415759380,928819511,972088554,973904278,939157909,463790313,949992584,817227006,453310501,708966035,126911614,142165630,617832995,87855895,157636860,778557483,345371634,683055791,557601417,283904673,16356069,48070577,131148008,456728330,303395276,452301947,334037985,111029123,799277775,485555613,911878258,984390555,925335914,171133589,788657196,405548598,674442220,678980086,517055793,323572451,624014070,18426152,909431046,501316087,448171002,356807897,385581497,452925860,373569161,170959943,739464883,424322386,184090522,518569448,50247597,903418550,631257682,355273159,785861341,655523202,677360557,60538226,71942065,666553961,632047299,296725915,170136817,362924295,900045729,79227015,959514907,625586377,204409131,41504955,920070681,293610462,868053309,587403592,123251967,909823035,722562099,814085834,260913298,315275309,635325652,887606574,591824050,10866176,906955383,980401033,407159229,645749207,287087587,793280590,738329457,951690403,723874569,13066007,191254454,741302592,141418861,309603703,32593739,348501916,446688882,33767511,61101429,875336453,188295012,144988141,259053529,492472002,515699210,214493883,825974050,326253045,649238666,480881708,191150855,762075073,102431005,251903274,143063249,302665735,130854181,321900914,191588228,285659786,927817815,220041203,338476609,821745517,425303663,371361971,698185721,272180033,808690858,948477836,395978805,914443234,411794600,850922114,925875669,495965331,561805058,347943614,926614209,102974157,256834507,216762634,821215423,983424837,22765516,408606307,503958400,245838152,39206076,912296663,373674169,727157350,154889862,826965028,850552234,318042387,76539733,179953164,766460899,600536710,402671630,391187694,446276575,56226589,689888919,674349593,633491202,789352215,787915845,876168832,686601409,837876577,268798001,194426204,540786824,135135828,668919576,76883619,741633843,258900908,563099011,277110121,670752324,467625163,95054092,405971679,308091542,590842035,228898769,811342064,277242563,603558661,190005449,933646818,45433685,176901578,567104685,944899241,549685286,436015026,689002326,23537771,499029634,772409148,151507492,151831195,706167332,657400398,851557021,956966565,674757458,891160818,736178081,475097147,760027493,311706286,232261023,639073021,987578543,984777698,492143358,660014671,637076535,94909101,868845893,307224693,67978032,41056226,159530478,471890763,829449685,697338268,748560735,594457962,697133831,589748050,682037935,946108593,957332888,754300983,358640289,805186407,122487671,294074346,506861481,51235197,703022942,493306204,544108656,20932086,458066090,355948060,860238604,243390419,906323866,800076150,178303158,875728275,509046953,202730020,930257467,497925152,58373887,272328322,523723531,742075079,921653268,370322066,351159480,701164570,185395549,630859390,127462678,29158539,523984968,937956737,358545181,864582734,697340465,459421425,329438551,282515394,642531695,974865253,945839808,164945210,272220680,775888674,521449537,165054140,237645948,332836401,662464085,269596546,991650543,44392692,820354118,916960689,688669540,393110117,941451385,825025408,518251613,138426653,531194683,626059836,118032964,250684845,698795988,308653849,70340524,279576665,587910351,602087783,856501595,916601573,815623514,303315105,256352482,675645946,22037997,578954422,249247807,923330071,791726806,966052627,705556781,983110977,928759761,734691552,132262368,688188430,664914958,235271185,84337379,373664096,601794293,836096273,370594369,936981576,177766011,733684281,189210313,761804815,218996981,844736724,410150254,424302996,288585305,841056971,384455570,787260947,254687351,250075244,317220471,246365067,132677641,531083388,675669942,215494017,578482797,420714273,263359972,683669756,542127070,505061250,289802339,867018999,592498814,334100480,165891460,963288539,281914265,408655893,275222917,729631404,415893908,164779455,584715018,900483581,207066285,831282935,171395342,969355168,972515278,250691675,45536958,11009743,67537048,821719062,21904973,523395998,605628861,261855759,799438646,449983643,771449356,325407749,358367578,309998816,512460490,930037931,495688263,318284168,510783652,142620512,2867094,593363550,925668105,393009024,941025756,301656439,163852254,28912643,158553237,133201461,46954060,689945516,911523147,701178538,270580236,355407987,318630677,337564681,205086901,577977055,540415965,612178635,101364512,891430598,37699311,803594803,554433225,382760931,792107028,742350144,646413636,757969103,262713542,778523547,300155584,607976468,452203859,700998071,76575658,321148144,659250130,847525741,911188245,968515642,345031058,930559669,713725423,304805834,151362076,794772152,927306101,973483068,836348661,554015342,336743932,558982094,743876959,876121073,879962923,835723801,105652703,709542582,284365195,709446046,256587421,723975227,457760420,812363053,932426145,599981523,191330384,998420366,165460994,400424269,540484158,872483576,436331635,356362959,866098452,229379060,51451725,133945514,447677920,770499142,678192075,548478470,526702050,636267288,483150326,790587892,773590396,191166688,858118688,979223018,497625795,855001392,125748804,568063716,854334623,428730513,897030034,971478914,809497246,507930181,221556357,604926130,213160079,7911590,614295538,50770494,371684224,861306492,861549264,696718950,678889581,522900739,812952163,243625384,575566153,896174564,221601374,208325253,116101981,982602467,196531346,113409245,528046868,184299619,975638877,659795945,633916421,325663955,518255513,760304175,914556900,354467660,909423416,512743817,330770917,231859342,226659880,968620404,439670840,57705089,280621796,718586638,874814543,202059070,903950529,766471613,304881685,919190292,163980363,738272581,511078708,813038036,130100323,140116400,34500025,177004975,205280710,848336001,6474910,578879877,676665586,474422896,693311722,726587245,407466403,372820996,646489613,430931662,610717070,69019138,897420002,155438116,688892794,43855050,267070466,88719168,46434770,904940428,806481289,301617425,814373108,978102137,657721071,648890928,902059810,374682927,500001187,583004571,680660479,83476396,952050749,147142124,667868984,657981113,102671734,358784078,406697934,707360486,79134085,604272737,802224196,359174134,905288041,791473640,705865359,590596904,482590074,925952674,249054790,180335802,805655799,746382056,323052014,899967149,32984016,537312948,132667091,834672206,67723077,436776631,720157959,445584565,172829630,342353780,210551357,970813894,476334706,180353311,628928452,602225966,630556805,717321883,392963294,99908994,608294323,444400321,606894858,388718499,645952890,960802119,815989760,611081929,515344465,513745265,478997037,841229177,81699563,759153050,290183996,553585503,258645917,395561574,838949038,699144010,400097453,571410236,742353342,284590289,724337428,639213966,188625724,667340156,905643341,113801389,129651186,466292399,49327126,726348983,580551664,522575405,485001534,32732886,492505603,776219900,413569230,937198155,581047538,862338393,735628726,42344845,650356065,740921998,476714290,280044829,390324929,639307692,277601448,130490230,981471572,445515616,55039966,139395400,992187062,176428499,84483977,373695028,866137141,887707339,972632444,135577939,144522927,45395272,932859467,3304288,596864250,98607035,330198971,589425880,205294887,817961346,898055339,50025294,237907481,754693395,886319703,343529901,358161878,57883200,481423241,744249684,479802159,901964104,26400013,808880608,382363714,753484364,646117930,381035115,562411862,450448173,376350285,734567770,158001496,828150606,191238366,641198638,311865738,623345660,588807770,19064924,860408002,7215291,160532920,404924763,25558595,85980775,641483392,695974581,443713208,711205642,891325696,888101740,652300377,103451107,132337129,27502070,948014283,17432707,631532195,663291589,616281819,919043717,757543774,45245528,302654374,328556942,936274297,176231505,151888113,351931047,364991243,868237703,747414509,954295354,662728395,407927180,701763401,12120358,233229959,966364394,378388142,595958622,855750799,860593286,48893470,359440557,37816729,832386225,659673076,776627678,442541449,363031215,801506551,769684159,375244167,275585422,956835861,720893326,156903009,396059299,445843775,389052259,340385495,34824334,561486049,30009939,372130312,411525921,36921145,53955169,711368141,220391230,782784952,749903946,834534156,364576311,480528678,322418017,645506118,472648710,260737466,872832886,324645168,766133278,925335001,261580448,487355484,395538348,117930219,419601748,475634067,671184525,276454446,78836157,638263388,14933760,533073125,231288575,948878832,521165023,219182772,7816096,58434354,738294610,601400928,502409390,139330536,104265080,760578555,289141574,666481811,477865324,765546483,167353989,281862569,164836432,326949968,992394590,484755863,261339860,884945072,991226987,849299889,103312384,676566652,611663090,500238707,405924087,434854045,375728396,443188028,247909028,681248163,520568537,746173706,871012858,123196665,80291871,231424919,245773292,120326785,483431738,206735911,705494418,258101346,589081226,238546689,724522547,455866600,36884090,208620713,646876678,636863122,919820500,962138799,65024136,938163587,740764418,771308598,804687401,371488709,82211194,996131667,123631037,179351493,157282064,975598215,717449574,814700806,539394511,365985310,756708917,888967856,373365499,305980342,225348052,929194678,610705307,211098695,771819106,263123564,711998233,52320014,595787038,273241116,466831716,385016640,556643335,726987307,746062282,736406683,921367943,785642029,31326659,145228692,415137177,737999878,100571572,178792177,499739869,186880494,596467385,970655117,521656287,462513197,132620834,387744314,238651287,694175528,70184414,519167856,522521537,2005858,218767832,680742007,438257374,76817528,688452568,895354733,918866191,7318798,609268671,186245199,603551033,489650150,840125047,296496959,297448780,242646618,510733932,590619730,667547869,358480680,889204903,623045270,217094185,235555929,742665461,408497822,337635002,965559064,685412141,459111378,885024629,460239279,5275609,167669090,81206502,111807514,506352447,141729644,79543454,417294650,894618098,132839841,767973196,233992958,712019970,100635612,357774572,117741945,864258788,314356190,537802534,686656167,722712393,81405732,518593552,722854357,408540965,254507342,788627036,158334603,443525180,620505678,517229011,809220119,231034807,134266248,313223891,328809813,79067639,300355335,202040856,371687074,581700088,849877180,57248930,791248509,185817881,671496747,203529097,10908228,632668273,434867216,857392007,107665785,591137820,3457647,640008124,656690000,680937823,679996340,856842106,131105789,905995003,73252569,290244745,844528600,473319890,602018894,98436196,264942163,272478100,946681686,54353880,822008960,825171091,137304229,520827470,470341839,742372521,562173570,589302737,22596466,145674450,444869534,130331603,965804630,462788376,593796803,629873139,113830036,138624301,562385004,330492632,274627018,340715208,53375996,616817622,420492159,166972126,980686687,11864210,678297785,811962436,175046252,227458614,667382936,541147984,514755933,130355527,392069061,496693252,733930050,337945022,509805981,848100440,18761095,111160059,737318808,221722521,482226709,181496172,793850136,172127868,751755810,457577469,763562719,540089068,225930282,164908279,39937272,992340001,917459431,237904607,66472213,95176975,562097284,667616317,172420928,184147575,505315245,696228224,647580524,619570466,912909519,331284995,548924687,246699567,564260391,431793115,537509031,5092482,970987775,424366246,560858810,946022098,520062930,749339692,540877886,746572627,114133095,749392516,16860316,810445549,301546279,210908134,972602750,544317778,922234798,763715953,51793920,231693922,699194813,328712687,675769966,770860114,21887398,308181865,113473133,384811424,944859136,597676756,941259184,354562037,962741347,180379369,758900544,806343119,146666667,426910382,532647178,273309101,829716007,882377450,432108257,389619105,234685509,596005058,109103774,45512734,763657892,628550407,377680891,159883702,145768788,473122713,762276165,791794601,496248877,998262218,58723405,441605100,972663438,816136569,961695276,660726364,149536649,974695146,46248201,798781321,982115087,978781286,603643482,502812608,919781707,60725272,387210601,618470497,508235175,573015316,63599787,592138958,500608861,818917981,991164358,830669907,403706840,985518779,626947546,308275356,929851297,328485766,986034355,709529008,545511116,675471861,185170364,68369936,313645790,455534672,537874596,836721303,768564597,971112960,431213377,86979324,69877533,67043743,615570859,162488353,915923213,24833089,737741332,580491192,128691197,380957538,862869118,807503123,355051218,36031037,508249730,4497248,990922003,489594474,327302059,468795969,12613873,183490612,776918793,814735371,888471277,318111325,856392012,703498871,585142103,392008124,643649758,731378783,601952208,314300299,463033312,574278617,123099244,509136559,22539099,13413800,745656969,928771153,394531939,783924753,271982955,834261322,945961670,398133718,291377161,731914184,355139025,441598564,175150545,509435909,906650728,925837964,277877668,816521268,113311795,161729781,792107286,525434849,225182811,986834893,508659945,762347912,890287352,584048637,907244699,118205212,268103601,171416042,79742277,552115615,482979511,593772893,5068208,836135129,422920176,20050101,383807519,419879565,455943056,651636323,758753484,411395313,292445010,704600300,420861918,799379751,449538926,81295305,928690853,722011020,446697166,47538366,858989284,198063068,462564550,183519410,779940492,205671995,895155875,529054893,446239514,199157217,518257111,396114126,68563814,874921879,736323592,441584109,65732508,348190076,326245510,226414391,225689536,148128704,940827687,294773386,379081324,871315023,356943149,133004656,737776189,240591746,11156653,240973618,955292202,294499230,359599684,496133300,833820808,783928834,294607360,736858450,431169489,401522594,463403692,476888642,471793753,606662505,423636130,433149478,136686782,390296992,564776675,418098783,146889284,537883423,305493804,785934757,187660481,930545770,983250812,925917079,513152098,532050797,805380179,908309857,345686684,125425291,266242629,62889205,806457212,945499116,35879420,434120915,682346695,526255071,539963819,596174073,631654580,167180270,730795208,714868912,364768101,309628853,827484660,506982923,791570877,159532933,475634968,172958200,526137436,414835473,593935992,232124616,354405078,730163246,38665014,147711594,356481243,935325489,192349232,130024821,488412762,989165625,977898574,284523049,89357299,237356403,1527762,373057482,345785965,673141922,664997469,9845404,239495077,68845102,357835869,721149139,927753384,172578787,245734052,743209878,417669399,826515189,875916799,824755926,90763637,950111811,415328260,414756725,800640977,680127208,102774729,357160509,338445309,322849954,350631204,157135219,982150301,642257214,214308629,726715764,436555339,561180237,253118780,186774497,631240209,861612728,962405460,310351171,474040803,199609960,57756402,482733128,940916274,127583600,266065977,160253772,966547415,664172956,508345748,997741474,604685218,443873540,318438316,919802939,592839954,831450338,452756860,74430138,764054924,108425985,688645583,736918715,521394149,325645175,374035690,827944461,430475951,179184865,481158399,970058432,93520511,97257965,137602799,748667640,338327387,69368916,151879537,532321217,995156585,605886895,173454269,894405403,275909606,696258561,551794779,134088996,921268720,755899823,670951680,660248940,571176837,318654231,729244383,89591999,76668422,557667945,517952584,693197222,142054279,824583944,339182415,902197269,578170545,517071793,107756137,910319728,108186706,652517552,943389504,679664199,351134214,866141506,695090336,381582395,241302379,512158508,498921022,467515942,516966699,97958864,584039673,92911284,421915439,932381060,227247835,630256980,755597990,300662031,834880969,502878425,878772216,382464202,410564427,882937539,774035424,213214061,955445835,606560688,165827270,118841858,427876392,426707812,285566898,17592272,832166691,848426341,10485695,948850914,669931590,776991342,743580684,125091775,211311874,906249638,67900676,55538096,251908071,592576792,442510483,418665084,59821538,352956732,706234830,402660839,744793216,905542122,182797697,369020518,787948633,720842438,405663671,543045805,252867354,773087928,410072448,888168454,361539234,796373583,460281799,948544634,89122264,171737134,790003949,405745833,646528811,535999454,728563231,47172722,934568870,505574159,499248629,730208718,777213835,160939827,437210596,296600448,475054581,461567173,908728238,706154383,690270470,923797952,654168770,824801377,590454439,324316702,746059699,629890079,148859080,289153751,542504294,853884878,614867754,396440219,47330225,193068917,732115039,85581227,655192194,627934413,620243179,245329978,289676684,127839270,714073460,382362263,742014382,297125342,889770224,920630135,894601449,487107235,354687789,715960342,370469297,732283027,125082576,953829476,997853643,454594146,470999420,378181663,519186829,167145679,988218119,406512976,570465032,141144173,8314213,979870996,173186069,322376416,238544927,460199310,286894443,517468391,117630339,315988658,349101085,364918043,990873650,12654796,488556705,627482707,603343210,460697828,497388155,439226955,814342221,250171005,892520764,855103887,454432090,657234319,207140674,528561702,319680754,130833035,593665384,883477392,968904449,646557904,186957500,684109809,592870837,777771883,776795938,789660442,236073132,349863627,532213347,927142953,643496788,332154261,907340648,782908281,470654992,920993589,847847271,121873692,332850311,338862278,578878832,106135192,571310506,798057182,335420646,619715819,34820268,465354077,223517842,113369403,38206018,815773300,353944934,821714651,535479512,138563145,997699381,143316945,787507188,758688684,493805656,729220263,39906807,970813322,733748031,341646503,471093151,292451775,188349683,736618190,464505831,389625868,625361156,991443089,878151510,55888442,594152939,12494394,339373325,958238469,357084495,541280896,556350947,865290887,660898378,890066179,637263677,862889353,890820908,599086340,394909081,273747662,446477613,889416404,653482764,874938425,115291359,58732885,533469315,845346093,310247608,151972838,355275116,583381789,201815586,693824831,220353018,25968025,157346556,568993587,745767988,232416049,664894252,423906825,751886640,658681857,579195005,170490400,838846573,205966259,278316866,939319474,773795755,117211327,446302078,719363665,111195129,108951313,975780548,997663798,596688878,186611091,527306372,950529752,275895953,53409520,890970779,618243460,200925466,536279771,997873588,187702893,861936503,997488926,246271163,599166785,786380875,802187158,470812596,470567163,430011078,808624719,940715203,95160261,774261935,494215562,665245754,289552077,128092541,938645517,749823126,309402520,227027475,894768091,120245482,839935764,721698797,165846899,96538926,897092232,58377861,854437709,734047029,54134707,241154724,739668748,672913792,478958172,229884339,706416642,219066762,987781653,166133913,209825807,697715994,330779143,547627419,704444116,152044971,754197169,214086460,871917310,274437444,410004769,214828452,895936299,649942205,778398893,411566421,654401003,887756481,952211613,272426064,739438646,864260045,395060153,651949643,975774067,648771106,395611592,609966369,871801698,778167750,916317463,512011068,666109481,907972724,11768846,553132196,550624824,198957339,425252375,35595768,577997037,725911448,693563862,4937500,217323776,783574472,581035139,697595682,541928388,207331809,10528246,816036631,258632450,36189794,205269194,604048001,284862093,121100828,739846682,883391181,642894820,669783298,227374927,918462784,696525062,409548938,27397397,524570189,330278584,69438076,774720248,190321577,744040611,739490484,903941854,854955435,582335013,214135089,104040531,5259239,770918722,478552077,611592488,210109870,127206871,655958553,585914036,634870727,740693186,459438391,615806311,317352958,906714971,472600376,214328363,901165102,246550359,495070362,491992279,846202946,266907329,828421802,818737528,952886501,189269502,896928831,78344931,551986206,453316774,346665261,797451291,395231582,260670970,883055220,774812666,627056990,686018843,173843287,142297782,603805165,923471312,527338922,986850229,645773593,462806468,366711049,858404732,666246775,19728500,294911667,149831492,351382310,669751995,186997274,766824519,72249024,44430075,541375988,949432299,421180942,872378599,852716712,477806186,303201264,450189522,180176349,617860906,269029013,807272582,109078354,549804112,504483761,570220036,961246351,95140550,521457389,936128962,678132915,432014259,840953601,304212276,28316936,983680213,715789277,991105077,785147537,419999752,250345589,722605857,628411635,627622318,37703820,196082842,818863697,120001885,172838216,180400384,195249769,658073595,189541805,973996132,465349113,966926666,681566038,562364524,279661709,993903829,502226901,525158704,180172612,731044762,491604204,9733311,160829924,382645562,673690856,256056606,865875092,704435027,316220615,437576362,178235074,876840393,474872524,230140121,180873059,14121867,11044191,125982327,111080628,830931203,346654760,381636351,182088576,939211120,383740565,955571578,952435280,536286369,139192642,541100978,902873727,866002586,359274987,914634977,151081015,407103355,261833189,629620720,665719100,998463848,181325618,872779980,867829061,422441638,495725118,592032780,417970460,579928173,877817931,106290997,717269259,58900671,817418104,640380163,567698976,437298919,859490629,197598389,523660651,222472653,612611145,271865376,693853853,208104193,156108307,893739819,67998836,431898785,963230558,550080832,457933133,471825027,563964247,967407438,658896042,488310086,983488917,683191107,190417544,87324813,57241675,226741342,12523918,756559064,395024800,429208749,52913037,503797309,17879225,354032587,359914191,598191715,583338074,85104603,836253297,555151306,178505156,27405871,473720620,475452424,535930132,613348063,812280582,436480941,564624032,35462251,928753687,682999495,502946546,300705276,91933735,194048327,43741771,465567751,297755975,729761980,782762318,634039038,233419873,858630959,461863856,354375560,224080945,681538862,141580372,951561499,807826395,395103570,582544384,354794434,784275095,938822298,890183321,847073222,852285850,760197151,994335122,307821300,867574159,25033177,330790694,252964,229801110,653647795,665888536,726104709,528544429,979057446,228588398,120373773,935331104,520646510,949894265,176545213,501395480,588029964,45041616,969672256,986313592,96621476,807171205,599046826,492871089,475801315,867010667,301250337,158944538,939039233,866027003,323942634,95505376,867207722,589580336,424295263,419535757,169073176,558294184,256464261,820852558,48074509,941350327,719175369,958584502,79571628,573363434,673003058,896671424,341127484,500237726,550658291,724734946,778747581,324791692,914014994,19034269,516628774,464399592,101548733,678702314,796487595,480099257,817185108,544518124,539625709,179953146,768581955,921985621,565873045,145973515,551707100,440641639,67102758,376529953,994072568,672757942,165144321,247230159,319740056,901370681,549904836,512221415,234924409,960394843,231057882,257924299,760585219,874538056,318818325,484671725,188430217,16383767,374829728,13994853,714106481,852568786,549043724,462491242,218596678,216563368,754994128,288992621,335176735,603469568,900906633,859908452,726452161,690766078,690623844,3948411,262217984,211791453,230830478,328037297,371781464,298281271,526469479,464900742,898678115,525921895,875706489,571867960,809757355,640392801,314182298,408264483,709739868,272625843,804220068,997829449,820667808,984975374,434094896,472843342,988246858,391824861,942211323,962949687,609588325,464205437,159089412,497778439,150595707,801298767,379488945,433605679,181123815,401563763,664164585,124955801,919193945,986232291,961626928,152728533,102282651,507765658,94169795,929683763,659437654,405719841,931028985,19690189,350954787,599495668,523495309,211663620,376290070,967172594,938885688,625692791,551453640,95458749,331237285,779413563,102917623,471574875,2990259,994346371,950877142,684969702,590754569,809556027,944601190,723121467,732327085,261683588,298568299,733176961,180637927,388881275,652410463,196052455,394881676,12409119,546500116,429695008,84930751,398810167,672366618,109294807,758703386,291691830,779401424,534995317,861826117,235394545,115705260,935581145,692060362,471005276,833513897,92224663,942919201,846986509,858722058,853214023,20288554,896909347,705814227,644941594,501149299,139942743,918974085,941879232,907738629,381885920,936949593,789623534,831859236,844461341,244128135,777521232,392369366,519717987,196334833,654043504,800316207,381708954,408502590,364760741,295798822,471704797,157224673,395988323,52785729,947755677,207435779,721988696,517858146,981443381,967816489,771388873,168961272,813931488,798892198,145383069,549099626,368304867,685290692,548812448,346431389,327340608,195470042,501823481,720978970,53003467,188990822,67661121,995352031,871792734,558813346,292858488,897358336,388871295,715908016,955842869,42133877,848011477,598437631,472523095,935212530,835856962,761930488,425755983,9681735,945728646,624857960,876623440,297924908,141609281,305202769,783074460,592483743,483650675,937134075,929529045,453049415,332716547,25891933,43298149,620189402,740182449,804203390,961154528,485205369,543414088,911961502,384008312,636079646,860103778,268879414,196047970,532726830,172773709,709103162,383189862,130184298,608583098,941799322,55139063,37863988,542154321,825326096,491983144,692907788,993944855,871788197,519285221,934486987,549449865,4136852,662737433,494628227,336108695,681379274,215548536,971637643,653171883,500888915,156376863,833319174,901418676,124658927,890058062,681677509,49856722,109878491,146473580,988813651,502367556,710549523,173844269,565962839,508734931,656755234,61285755,449760921,58444106,834322306,940832309,674443005,506473316,148902852,219085746,101005201,851116813,76998774,159569609,172637413,346744429,288354669,737034367,795616791,660786867,946349502,469048460,924167714,633339066,672676287,583537173,46853181,436623825,381270508,981342049,552166197,216744960,49924696,821442705,91565010,818880137,749544345,6383306,805383169,36380130,552742605,665308867,889021708,320737691,984907707,989295754,712399271,966922214,651618501,760600576,237790158,541480644,352873768,212185443,856638777,731997101,87243773,363863470,317091219,868823383,22041901,776412125,866381354,954261885,925067148,76869787,145671420,871346165,44628787,184775451,209128476,970342343,505298592,891518382,437767620,425395266,573576230,445213238,338394821,493976750,840066155,191063403,424038545,823052804,715153154,60456180,688565747,109490869,997141523,100854523,722908753,545031224,780775759,801197772,890615662,489644866,949703683,888629689,592122628,613528642,308896844,531845230,452357088,836630425,118629843,427925568,745084968,852691336,555071334,978013444,483774537,487160899,868906818,142050346,341462793,351128587,323290699,306523382,208828127,185375249,862042214,125334925,877453024,310587611,583690444,43994531,30838351,973710608,93936280,65494224,3059885,549639664,947295929,927061134,482091306,337345301,386979688,417058477,250988759,683397464,873979134,140318905,33763854,465597417,717122705,185107928,50901857,639268474,637173356,937258188,16477705,455804326,380687028,36424122,331699849,926817318,25695671,744359055,680960917,608377789,319923038,194026819,715230264,103545495,36101888,173932070,376050809,780598189,656912696,242981346,614656577,473697773,523181652,112677835,702589236,162765979,159950981,700608055,811710652,741812727,562652964,155836630,711650664,726208376,307306791,381398893,469695914,453779125,782779644,779947304,561386081,563659010,467524582,349788050,170778200,4798427,70060982,827058942,549783419,843405480,597589910,758510542,729927733,983758977,608240097,368453686,398547407,652349651,138514395,280901268,998194101,306671114,237518443,80603323,64722467,189117823,74056010,866272455,57054978,174427826,376469395,366106917,414626613,936557367,779780365,72767552,215732257,356031807,431284292,430455360,231451542,832888694,650609490,609818692,549688365,19463480,847723999,525224611,247519092,862926659,105574295,889755444,540676380,617771682,211357184,205732607,457504712,260717587,889434271,205709759,344441039,129472903,133437551,847553136,147089818,704646622,718128711,588113305,470295204,378923226,837622064,160341370,883110304,956199565,863899603,386961488,364735922,856703585,699280985,340839047,287812156,50068143,25493241,953450383,526351344,617855218,677721453,56794912,131088625,917961701,528390797,688848881,555199129,707701594,13455631,963468477,97831921,99289752,677352202,650025640,491151110,278048345,851649542,3107482,295348994,125928009,678213983,180328979,293999008,377506103,941109334,927003839,151861142,628873225,304412041,815208724,767090152,2474284,243670433,336216048,861487777,414176903,419940991,378185616,657160804,562336874,420523131,316932479,276796562,993692444,894531252,145796408,897773896,208681567,129196062,632092606,284308825,917716509,480071796,418240530,859573468,524332371,143112615,980193191,654005800,444761733,427093389,492974617,348294626,859616637,817169978,617817979,811887444,428027005,849967980,884838188,42929348,582820864,506079404,143304826,49296127,844058675,260262069,843482654,767629508,819763012,201542778,363644238,141997309,774549031,72990924,116492822,10320265,366920074,344871228,130564507,329504388,458310793,642742244,726827596,682059533,841348957,780434704,687388347,360585267,773623453,430355228,187438488,264499845,624065369,848474908,371850479,696815207,182411318,317182729,284470722,379249476,630959884,32012846,500462613,584258606,264462129,422237347,655691211,421785122,136121803,720820779,782006883,99888898,260525395,719634253,390044503,430222316,363457715,370375745,110098847,671030135,342300088,18528258,942360912,884526208,190492382,836003864,302244646,865833473,145228817,910899179,22744425,269519121,664379403,904804063,249620618,75687839,843520966,897303851,264141553,142510450,917225300,233402874,329995862,963004055,204520942,578037147,815739174,433493933,911900922,654327418,275027410,254258158,724002985,737528494,811491196,797984038,126132856,96234813,473972539,316901348,337120643,520582520,41603988,774078059,331587006,348582689,699473440,752141438,712906850,237644881,142750714,527777006,671723505,765530950,953169370,773189990,825256070,527368982,122951971,941756132,509167698,160485394,936979955,771645485,391931163,63299770,556585023,229996205,52988186,839997818,512390062,341261872,863979062,538434329,497622200,914496046,614670183,777499037,85139886,799488085,52079430,578890090,324125936,739187816,254937749,986143171,844910916,83315336,712712020,221127749,51366867,373281186,964189859,231016679,778424169,384316069,424359574,936045006,848616460,439421270,763090471,604842303,363431762,593796959,402591654,396762957,213878019,799351813,509303809,584983380,331924603,169401937,222619905,559630831,428165382,299957767,34645508,20128900,68282382,353416168,837548468,181498752,476282713,116959082,902249785,8631364,992111516,82785477,957530330,823898854,520318089,278185450,98295329,80023269,26609638,202668990,55603010,858851965,260801570,550334361,936257933,248344387,714497033,353396804,385117010,817156054,770763601,603701401,549164984,954218086,229764223,493760926,593185711,232587355,182759259,727195346,214543738,250597143,506022558,440880148,374212279,356418379,609598688,815045745,900495814,132359135,68320377,36710695,799619518,494630134,5738574,162387505,49157946,545896461,74357794,257705681,513501848,565034013,584084359,748979883,62330496,101222542,424976340,884783876,76361503,259929118,677008362,926837112,580999288,859217496,229137028,652600882,122319421,268563734,469597034,590418710,151882749,308664931,99731046,505788486,556986742,714325422,190502551,608150650,634601220,589167605,189202151,994649860,380999955,954431847,403276848,413842015,972021025,832419937,575204643,26067307,888102767,139456010,525678981,121571568,144193895,906225997,260385839,844198581,745844384,826564854,919329275,582131740,224250162,745932159,84219221,42846950,486651629,426018424,124464468,432805501,79924687,501804460,586591774,344808066,147151415,572498893,108863255,147357739,14366754,601802277,796895212,914905525,841506017,293747645,35373934,376123163,95217170,308437615,783503681,998162965,190980836,641266167,852280182,966931394,309258747,695453846,287652140,223858212,992209630,94147104,361441952,22605574,438323800,400281101,802606360,376793343,958379093,927558480,535868973,329557549,801872412,38150049,195003594,916630083,286466150,737390892,606641354,426585630,565985347,973108567,781356356,962670911,827600663,67331812,861836194,228739495,468172255,311896983,597461665,488068311,809403629,988410607,720096800,442082264,656228184,99358845,832025788,376492407,422228584,396643070,871679345,697614674,645517781,787225508,126111790,653809576,250475332,127473135,859116742,948540187,135012986,833323750,397988628,161893085,281491662,804642097,598457249,822335046,605933812,633197134,341502307,956716904,796842750,565770801,826128462,95802285,309096821,972342455,129161982,101161909,672986238,691812761,200725169,411954294,863514649,28880886,114645038,703796868,549348441,365672409,471706037,228006082,486667973,550654979,735987513,395420032,789205378,161588703,619884215,738419330,207368072,157505286,425590061,957343174,788938,81456874,419409209,139954056,97447982,499537342,261101738,723250597,17696619,12680933,326469800,388396407,446876457,916192588,821200177,458448645,840617926,50455332,354589093,493979499,144694805,861876947,520300929,340875484,381047745,596528919,485306352,139275449,423724393,861508975,833733028,889676073,879561657,846196580,722047162,805016700,839980764,257075054,775394094,618343924,188470059,844108754,649570433,674593535,586700846,258535941,325435871,423533607,399142853,874790175,948835757,399442623,434093995,926431647,564065432,70254189,370557007,948726596,703544544,725446729,340351407,734053213,476640420,904274215,480952631,595979028,615412581,711144110,187467392,700723780,153707502,895233753,653328063,849338549,138808446,689824497,455995867,110694636,468355011,427544718,947242223,447366106,130029087,183620828,435276061,342612835,556060591,548123850,227942832,261492794,231526572,382854050,852389611,726153043,184686820,869838656,162577538,802855948,738745671,550407781,511825640,840193591,503626172,789066659,994023357,937883637,433463109,645936087,291366906,783520790,74270484,872590262,813937277,517592880,692567856,536926783,721029924,27483453,196955855,452524233,431853363,592280476,265460841,721300733,700931361,914001146,404598740,861410849,186515822,153627537,38107317,420148217,827778972,35326955,448851653,571974484,727137578,190896949,364974602,689262244,777971518,801973584,17447993,23684652,271612881,418083423,726280579,842912709,565422649,255804624,187928002,917595447,865306980,983108208,704760819,909968513,476819294,67774625,448482247,406396398,806953688,603544857,388456644,308737065,581572923,517441962,445764545,423264982,323027899,319134817,339235596,180226258,159888800,743480173,542243203,527574816,769906810,623750967,389691637,702127127,517334467,571722997,723164669,367778949,820809271,443964397,522681718,283609211,972805771,661626676,555369976,769151358,146916022,653959841,12015911,803910786,653777218,736444695,146685274,66263252,577224202,662245917,786425611,97939941,278258589,182954927,18715589,162725601,155042315,82310641,151374829,863401897,981634624,553317149,519299408,667284536,98212715,631135724,298127538,477714296,521442947,199753889,356712791,671669564,859887468,670507452,721153508,902488555,281847599,938831552,876253231,250253351,387291702,722559024,876937601,420741590,955651913,372644066,532134521,788351027,720982454,130677215,109410504,508826207,353260498,768011614,213014952,903377297,447432676,251523640,958564178,307430205,824279056,714737156,496845458,954002795,770108817,540905437,784952696,529652935,881489397,887133983,123074812,863516928,110735561,29989082,191361343,47783934,412487538,261055180,388773056,831107117,376121253,147287402,760042206,375219033,216089443,224946496,315405637,616760797,964243871,622690833,605885570,739258270,3930110,334837781,802932159,842989391,833622698,293594133,20287036,391639640,665600725,359923715,604204048,168393254,123861860,535219963,841746944,824935565,369317863,662866662,110136628,532413379,166737499,509307705,963317816,470058354,227197367,759725090,646207068,64904471,187636757,671496799,327041288,221345116,574182298,992331287,749797790,52442070,195573730,176004801,404654772,484934916,752177285,687539380,536449354,99964167,538042143,600593653,624206249,843251481,667125250,456858280,858647288,543837960,941373583,504012598,939245967,845227356,620577375,470174870,642485268,260431968,75697703,265392296,137634893,200386975,981992598,673936139,84448399,296639284,325065381,91526006,759633842,350866379,175727528,511927278,949695302,523872457,675612590,950747029,287536676,317031973,242401952,142082045,470213641,658133990,411420987,597566633,116157837,400075732,869804688,282920082,86779910,345256875,294931689,230041975,489296457,507276130,209263102,546005937,384231392,490042551,393191006,770263007,855322551,944684031,992651471,958002714,545058638,631453321,749608603,530857658,510359078,104988700,616364300,421457600,177569433,231439643,925839259,674552087,346749470,163689591,28255657,924685811,520927990,249026079,854322762,113194213,390314545,582924153,138614392,159687754,478913799,633543241,198839467,795615262,831290843,61355001,863709214,382434826,755954744,32098311,600525031,518538621,872820188,573257189,708383150,648444315,167648458,428416290,590500629,857710063,671088856,845575655,579032221,509874410,237818213,971497660,106069459,491136313,162112187,773150942,633878989,72861605,260439158,644478135,348164382,472355008,440044106,536599941,918639187,137275782,197295365,181818045,49974107,324194603,890462736,375509986,359963750,327678415,310572219,721213250,541130480,781862989,873319827,204385268,753811477,368057894,155654069,152204768,776118664,605027847,97684496,478753959,886807790,506010449,718653618,510379861,245033329,619441329,558213597,288276221,184073514,673066840,25003614,546121331,821555119,913528783,655214908,999119221,452741779,74286160,437258386,812724685,672301546,429163287,558216042,320245987,567006544,349939067,140622042,798631477,94093233,355985362,479009390,913958702,424386897,514171340,740175870,679049514,738354630,700965574,328225497,872369797,124920074,659699380,19741898,176524296,810970903,589356117,482661217,105305244,746566901,789469440,677706042,194890281,253528370,397859137,770080761,236334065,87948780,99206944,722161690,897947100,240769076,598835286,600921808,238244315,872557392,483424546,596154945,675606989,628370739,529572462,23699032,652857066,336137559,359768599,499057424,934946367,960779913,528437328,897308609,734105908,366963058,433849598,422068143,973174747,807166647,311646721,131692434,126981280,117469648,702585623,312063105,950598783,436053434,553680247,991777645,781768666,357847954,861331217,765639204,769123620,72584091,268948840,147658171,439073692,41103978,64227160,403969730,46089518,181999348,388227680,745583308,933660977,755735818,4934025,936389697,234270892,38682384,645849153,104101994,274682751,241354347,763819314,395351573,591458719,963607725,655774111,868801530,349477037,674217147,882427429,812742007,91411120,56043224,464914548,1217781,391567808,399848482,996798040,32019349,625182146,350440573,459952144,688897311,348287771,904348592,921105239,434965027,148993771,977813688,613236453,455752469,932400122,939358943,694058769,846062183,33002098,796353925,703485451,520003614,82660090,600657664,320283740,843184092,458604141,340574707,63070898,269261813,272535906,107613807,778371093,97827903,311892346,580174851,45805994,472021231,709361944,189442939,491232893,205639899,386693013,576740612,655916612,237590830,196887617,853949232,785206377,669571297,233943219,448392670,222818691,243953454,52688383,693709636,776288967,395486042,533916635,175065613,47289139,785826033,746838142,816505585,227376558,106508825,86981736,814988754,722453464,666497236,8616033,463514351,287803623,427908485,208754762,356147891,377209810,442206377,565961933,692427023,395522831,223996557,41841748,893250781,748689284,360609640,187154855,221657012,36202516,156562165,429607806,934696684,956335906,331578738,581678078,837907858,747688550,687032364,498408054,366099882,777559421,36577525,464181836,258039807,337526388,357227151,138911815,639834153,972331785,951319795,147282623,631873378,199399763,693399772,216268970,123725999,397039078,713815395,813468150,128537007,67004187,592812887,956169828,418820158,840274031,315199380,15409495,161428486,995586748,140654002,890010959,321572424,518185008,991271088,900698211,84164148,553509310,985762974,711862704,553138546,805625916,268740984,78338468,912716700,486627123,839703200,454630664,915141867,361582583,351099484,322112376,207395083,103882974,47321378,781780617,450713808,983538285,430886614,17573966,302051260,450329092,413205741,824158352,443254903,155710340,402979476,817411605,766802637,3615041,416499992,598212441,970011273,233771460,159084754,151790844,222270775,400925162,169208563,545824114,696850537,152430797,198526869,144024571,654635592,982179450,555576709,42081818,542937451,909268422,413317282,677889967,461464035,566607698,734068264,186216802,87930066,916286730,798180568,30687978,419017240,824184796,558886031,714010688,544323989,75921,264321272,224769730,107516097,403374198,964087924,565274970,313674231,209532809,918911287,11445835,23497918,582725718,574917712,425085520,965246209,893871358,591235575,545443491,914922636,825202818,427644876,923776310,601619990,90556112,647865051,738104114,729020864,750133899,126654449,658829179,753586045,511030065,726974439,293328315,25532456,392648458,499944451,176497898,544559414,209855279,282481319,120944895,263471012,780300258,363956265,339025476,99930725,591066286,790053093,725428817,401202144,481723305,254668562,454386553,604517657,797101384,428664915,145954969,360052720,624880596,609091624,756877828,70659939,390864773,483097318,492669960,53553364,951404996,37903909,184143179,933767806,735644415,99139295,258845402,351063895,322464119,326347579,66574353,588891707,295424150,209869761,288600076,174718425,360744371,72787955,822612263,771774099,589109822,267458153,370285106,842358212,84621455,527670450,690625586,343761171,640996344,79927790,39866247,863014698,269214881,278344691,475025301,137643283,251653003,740022409,679818796,134373413,714503249,478220456,982257749,688013831,307420480,32220480,676725343,204137465,17791316,201252906,450152503,265924519,930466191,678144207,821950395,230037509,249217604,314243789,724276252,922733191,34065719,466171322,990571552,459590307,507855700,81785234,748192332,861669612,88486170,796656296,819085914,728824036,382069167,613357411,297358967,544407691,149158740,291161742,427760134,517664856,973333287,956389269,836238650,824134076,672994535,492718643,832839074,32311145,529751691,814623194,560352474,356476393,187721119,458664436,132689958,118782274,151222498,551131605,154817210,432037914,336333494,688348507,628533305,373002926,108114153,295987957,816504251,964029366,396316526,427848532,343756867,875931463,368614870,425407799,798541614,448175878,808622055,6261405,463936176,715212044,741668416,662524720,867534735,392914339,237627203,870357035,64539771,558634677,609564009,350228661,885103561,825348228,467557135,273685866,905078010,387131968,129883344,154429411,990802367,499244034,170780505,29414727,621689603,277739329,75534186,624527703,95916895,515419177,354064108,805069009,220195063,67735268,112523415,922407073,592361810,374737716,501167281,697513369,648299447,180070958,377412146,962150069,593107727,116873117,210157670,804552617,506047513,578565229,935630550,912995536,382797115,183992634,328359363,685854195,825252117,850800045,811468792,812790678,908910868,506843680,356065096,239427724,711571395,583582385,715453746,904073257,225496985,767367741,228803714,499805592,378580287,345934695,876096795,204353121,430907784,783193701,272289680,631276965,437085087,410026256,237748274,842246934,105255443,152472313,299100931,363125357,116935302,6736630,265080445,6505868,355054357,713687872,519153898,57499428,125704193,707855665,376449618,66552371,256199280,287728803,617904417,85505749,220164699,542097359,111679398,278607329,546644586,134907096,739172351,604823266,312562383,910426043,245324188,332699775,907252473,296082014,884002653,915961653,395359228,745945522,439259935,632654648,137902452,350906026,627102832,66649423,999298178,453030555,573887402,715005957,25982503,591598335,594612139,557483521,547730269,485666592,920843799,358774395,330263123,769731487,316446525,481409930,763013270,925371204,981028867,164841236,642528237,425772449,500332086,597729612,714430737,883277778,612213198,314943190,282209849,12388557,515250598,139702693,39059054,762287529,164696574,554882576,896192996,99334758,781556853,91297158,823443818,668876709,965895794,611828703,618247683,117722137,932383541,942272978,479960950,882203269,770173842,873675823,295969305,400110068,466210161,568107042,839524169,228336,100621009,214801639,612538659,90078913,929644239,64315854,710593123,709370185,532124911,907943139,458696722,140112296,229030223,400699683,24752364,403013480,364488938,972951774,295936097,741791737,181560610,226729072,27753805,720311269,117705850,63768219,380541073,538276187,533825662,477238854,460913851,373852699,291777784,274910063,793843200,69765839,880338808,835453180,891474859,890652668,929034213,162580621,947834921,507135076,154946964,170811912,706203180,538421717,843925244,294192447,768253911,241972689,497436004,29200409,980725397,124277108,157858142,729182395,515961809,323678170,532244903,684374103,135249258,13649967,935133118,322801801,811400550,651258807,502170439,562602754,439189458,70975474,513109917,882728293,490755878,397773986,849924468,234796071,628914932,986012934,418911290,216210511,460710630,249516190,35673358,79010543,151841084,611259786,169276481,13333292,809762781,419966533,694106731,814417970,603611899,150468244,78696099,163822650,845574316,720412345,353302483,217634688,630702260,199250109,364050889,268529835,654844258,318989699,48154229,84843538,298623644,78503435,735713568,344569278,919420997,597778066,133346338,95974336,807822601,739348622,249968053,879057969,981370738,750605252,621112330,695745958,603712474,355611867,899165510,298961875,772413497,893020872,338184728,398971757,827687159,818788663,865756594,573749550,194819840,301966842,766127204,385844795,42108248,547080955,614218136,147305042,543294153,280615684,600107625,955334847,81887934,2747919,654795877,470778732,913200005,539071892,57055490,183013872,696329593,785034737,707225615,653932001,998865087,605374612,295956085,602348077,402473829,403365839,500122178,369769249,658308812,281992771,801891169,988865828,11468210,193245920,95531170,436102380,50552070,906222874,351919074,253309753,839652276,19438360,201520021,116078909,972580276,861195504,711909346,290490768,536212560,704722015,690379215,772084156,671697096,358355211,743652179,963731952,320025863,877233792,260325575,677943338,75707957,618053835,552011365,367753784,720701009,235004683,730668142,38684111,775629035,169444981,521409860,724377935,448121513,341679313,53332428,892896881,513567684,221301861,751537657,353763928,27342636,680745957,632287441,669232951,475322774,319285454,885857379,907345762,338929319,140759684,962576389,69600715,492402494,691217266,358218315,17241357,731433315,100169348,254757126,618469876,549451202,713544652,220352458,8443836,556905295,941909739,539177260,503135216,694405441,802441413,566731459,383988326,36142944,272739724,540066416,223245884,255046865,656250480,401723232,921687556,118794424,870482409,881272218,714103337,704258482,83153729,382328447,507759523,992883496,549743073,838520433,372842799,365179952,174144994,335959257,229984671,146921221,886831430,878125842,102804460,938494183,67796111,446627792,399169445,876387298,276624240,62695644,526651118,890475611,686009225,549165215,727969799,817924712,704735855,137989947,198412117,239770193,676685915,333413070,63421847,343354510,126073994,196345710,352882828,82081414,22893589,410466461,286179103,449757442,867827259,151731009,606735194,980296773,268259126,150677143,134881451,879598730,788568059,728868910,837385478,570124080,371312344,889419846,64068901,102794964,175456699,367881664,737731905,755248306,315003251,866507713,294993808,798684984,833801639,75814469,290597933,43588121,420750050,606303656,884888547,552839635,402987856,831816940,186448138,554750212,317066944,656070957,666514306,580021958,770345275,565025434,91236743,478391685,32073921,894561025,676488951,13141959,725173092,437793855,730753226,220115550,493308468,765610104,244258992,674614338,796056104,695471400,583516256,281706944,911261299,859176611,793939201,925628364,979529575,638496391,221426561,612959602,837148585,953165810,26455312,109782014,578437832,424990170,710936478,793303533,951183326,703216647,894396100,852692643,389988604,441031505,333911823,387166072,766755505,344422502,19103269,790783721,314578930,469938744,338226305,94389966,702357910,397926786,699394126,851519487,468453092,334432556,449597806,134291730,849456614,520470783,848358651,244680543,263550758,888744222,278588170,744305928,622692435,784745983,200196582,908761904,315984042,82438423,694733729,692476486,424637268,264312579,599433903,571752224,492813892,469771634,38516569,743276106,224710251,411839419,61694956,479579803,954934975,94160672,106235790,731140031,471591348,31561419,798527742,169196452,457888065,494006551,129538819,578454227,663844379,106499078,929904847,18889698,271980561,598215212,765472626,69761408,118503273,922112780,545913460,557029302,234522951,75158031,22799753,474913430,245625241,565990999,385203343,196414830,782604311,442093657,360199547,522874059,572494054,850476855,740555387,85577323,643580382,420428708,535087884,394600088,15045991,253535858,5734639,701735051,294930533,945826916,936417064,788919336,287308850,187892313,18813511,466218126,278661172,491532670,307114122,659121972,200859996,413259513,494398650,243511295,318071623,867403214,234217076,688000251,114715569,948816241,84008235,46702211,802500048,604642853,143172408,447798614,459334684,223414599,489368667,465951815,805741640,190922190,813360549,364968873,101600692,880031173,528035556,727088214,691987138,359733254,219731825,415293566,444525132,752943444,950686530,62175404,138133238,490730010,560119393,764880025,857140952,100979172,996129333,520245293,916390396,167835338,750160451,455758377,63790636,386772227,366130659,362802958,305702022,356407472,850467040,973918362,328090878,33032251,710153647,540131182,960838508,267410315,675854303,511459280,237287405,45905539,377750244,441017123,338746933,203357928,825867543,849137773,869110662,678483108,147053275,717061925,577821803,57789959,23245378,256298231,466613996,262109814,249459137,809347037,960653773,716533059,953166476,668417152,583307737,107118571,606322527,79945305,517922997,995333290,334816364,929237782,788192632,890562069,351748675,72025065,180788946,284201268,876937308,248229030,680170755,652122322,748093510,140751265,241206430,695808540,573986474,98789534,83120084,2089375,464014173,870286683,558441494,655171238,977375158,489223637,68239737,838047143,474360549,145750561,532057440,836856358,912052064,517464772,300858628,747199756,764121124,485368657,687037938,590712650,67364637,282177200,413983446,893558135,111816992,641690308,522321460,478634200,157524944,598453252,883961284,707926493,998620230,701600498,567012788,307076720,689271474,489791025,812173495,595042386,825300387,914867479,88320098,508603012,849981242,529625895,617303049,410778154,919039292,528777389,147107838,451476478,329430265,179152187,991537916,259721921,30725579,156638568,221065823,123258382,466809330,675721186,654458281,917935848,2501350,487824988,137608525,180583273,841081243,353195777,990478280,363086965,362025650,646560007,835057279,365741411,425361179,483118497,7297084,328617414,726190501,363843180,453736826,914164413,133286676,51055289,440174340,391113226,252742893,187586623,730633335,278887981,509273140,761013086,122206702,820403876,170852800,905519835,14814800,552890772,564476511,949517229,498819128,224137622,55191011,622331414,860206242,848970515,215587345,514865100,19873687,247993841,397312881,810671406,104648203,500568155,129785649,702773058,730019453,514793763,791882056,831294089,328840364,882532858,757335659,561655368,96667185,488464417,74351228,148803846,447567628,817874486,49635711,496694043,510020364,735031401,165904811,141825609,159863657,638689983,156380597,143386032,295924266,870087431,804447504,364237224,134495481,436843912,887449277,138889158,748694274,981080723,61694980,866979335,303997963,869885278,443952662,456479092,20892427,577972441,158853840,805130207,323797792,202115262,490529690,381121965,305945295,929504194,717062217,988449296,372506125,741243777,721686599,889890304,711709004,231026847,441893187,268120378,55922620,711167874,353475877,453193027,601442182,854960559,261451592,496569580,478554734,156338588,659608498,923386208,375940194,307712871,950152921,936073298,874387945,335685360,271856565,423952067,541057496,703421423,901406470,336609097,107736742,623280355,848030477,990398051,212396201,184262891,764497749,871975504,982292964,544678100,969717526,425596513,601815154,154765169,308614979,388755423,515351435,976891529,284028071,174932130,312297934,523524250,878131143,586975156,928370051,148169160,736702034,491539511,571048316,423708532,112567454,612816237,582291067,41134564,711035860,709530716,153643540,736237554,934205359,975200079,865996160,534254348,198340914,324833574,809649940,218973778,869958542,750146648,135308274,110280718,83742756,670996563,271086450,406238904,857790192,725379204,716576109,673502050,587633654,796736617,174190186,493699056,251581732,469175084,25342022,623866797,569038630,207485730,375652169,752697540,234715117,323437176,410796617,361356226,736363402,299518676,197874614,503787765,61455137,390349056,145002462,215720366,672382857,322310446,691775928,674057657,758564736,113538604,353447164,548566,898786055,255429398,49729780,467742071,595819500,118042979,337513913,799415981,93481136,613185864,47577155,43213085,603660434,374358414,646671790,700093662,995520039,240378661,875346997,878857823,394199585,777019337,447972869,581666745,400704068,489564199,762206331,370621313,116325443,693826907,775219851,916982045,477372139,773954759,46766475,7688727,663217052,498439308,977613980,637951759,960620325,564127332,205734939,752641647,716820303,692286126,199511703,544489476,915319053,361230820,456059264,366121263,136556931,189317911,52493483,547372615,7982484,621407868,340311774,528553563,751682285,570866391,339458038,591758922,919637246,679804265,23241301,346693728,516570840,477091419,411303774,452666387,739632321,126866175,22757971,345302826,434406224,319505581,540228587,511587216,415733425,57784073,482057849,829989174,34987267,520633606,322509909,110893328,101885715,409293218,543860315,488196498,252859888,314036360,353744305,812218121,30904105,509471035,431292614,689547841,295411759,825936503,674348338,942975259,101062333,343242008,14889005,656808801,183107748,445055887,460838593,634682472,11100052,776076142,622323090,974548709,367115090,91334971,216923168,511953120,832545599,980323357,686525259,491909056,755528788,758535861,36506318,731669526,826563897,665763894,923052300,867885211,356159220,969756173,550209870,387791950,685497574,463907196,598627613,384177423,817120199,914254848,86933540,172537262,462217938,24239915,696596836,585731285,124539339,737022556,438374133,673256211,526874289,932950713,478877452,882109015,390788387,113949563,293140258,948539816,314724867,707783293,838489810,60609262,953654584,298396433,940304024,413274269,681889808,376109379,522210845,31852759,330949064,580580861,822356527,286785418,634312638,884821161,378728195,898966056,409888696,921582608,982207136,926951242,634927867,624471111,492759889,748771210,56197026,737340636,592098827,50156383,853828019,793537903,721816470,337807698,203197929,391293454,499414079,320113871,222454629,44302023,74780413,813728518,417780879,420103863,414961294,545329351,891044083,164302490,830578095,637938186,253196159,64594004,192094522,166660434,126137201,207963699,146574965,840937579,77305848,101630742,230052449,828498041,639896228,625642933,812820350,159593642,58657240,222601483,271273317,891730255,504857464,692506984,431809916,653596507,796969120,416018570,40958645,50955590,348279520,944562442,89882194,66497614,838312273,240778853,414431516,235129152,408233954,344562972,417694244,743301835,537061523,243385647,918810022,393975841,327984360,353520852,158472718,381512905,723666210,380829988,334342550,802853962,275333922,667465579,898469454,621802517,189777000,42251344,771065541,726131757,957662419,179845593,966643983,538967706,875368079,945507236,473307275,258971216,807624652,767468338,767810694,744971635,177496321,724678333,460327150,480868443,77018779,710922686,27361279,902651034,789866667,223009410,368144779,242199308,790106729,190262615,393561607,765950455,784967487,274137914,742758242,861502071,482915836,961278815,280788900,118254935,950507472,623137360,755287687,92934145,107640430,918016184,156846643,286804270,341092369,763318889,925233961,139007559,938446133,913545173,367861093,871629079,286743766,553271460,174877034,940773927,293462204,865772012,788618003,205048891,91078265,606464953,620231314,58645034,549315663,940629030,475057097,967192666,782455165,751644815,487487490,601675265,360220716,316222070,394226646,3210534,946592750,218179781,65160559,65628412,746903756,550290164,171499823,960511466,945803222,169460176,676420844,482714546,449046701,964546437,277505057,462409143,178172474,799760171,253447786,571777957,470993173,107746870,327363162,936501679,896114752,105208199,421345091,952551939,363586302,250613880,491650565,635766737,13097555,640489492,320121715,107549380,727438304,97213428,561215854,694489047,273228591,629644982,395765621,334457056,727488271,533047942,808390709,371070084,741383509,859564457,421727850,710964673,699375472,886599174,875128915,451531736,275653812,598359591,46140876,68608050,218768792,460705982,556917088,927850518,401573802,963799643,979897233,378721919,437133244,534515302,946147321,212433199,160002603,414545798,761101363,477489175,999727331,710033229,351680479,604719358,211698211,829984421,874103657,582021546,975094811,4740157,144570955,510312735,99634150,296768382,608215342,689543377,98200433,383836935,118740394,925499078,543914190,475730089,508796972,194253472,919177964,334643470,455716078,945779528,989514669,552182155,271048121,509864599,976802849,81710821,207380400,885007432,675301491,321073390,674531875,800863340,112494342,475016545,335218136,942060993,866070331,633279033,573493407,586871834,131004653,236311251,903014542,997411283,604584532,527108135,964305591,202342221,267093537,570668787,531078620,710034979,460702384,712318325,430571533,489959379,456072413,223180614,492839719,160724045,248633353,704095579,199523772,876167844,759720698,295614113,95502646,165897438,594614139,324908488,790836192,714566109,430425813,373396709,951323510,441290302,180106632,394368575,746899524,649455162,568971727,49405270,393088868,795246665,312414381,214563476,346816129,971039961,907250036,183293785,638750158,935364085,441342776,391913030,534857485,409729413,643851925,329034015,407931714,890551706,440468596,726631687,766450846,464320765,207573782,282464062,787888479,549762614,772465857,517053909,594568524,787088836,350775335,437133515,363447050,509535512,4846866,455431013,628262804,842629535,837893049,70705782,17726256,246744894,890510357,380445426,831768892,389531756,78725180,376122210,329814230,515370187,574732507,407184038,15452071,86689135,724747350,514415724,475127827,250755582,586017799,280243887,412146834,279336786,396352788,264394113,52404501,125077957,888500881,554266952,86967590,437422430,202372390,966231439,213705124,319654912,327706227,604516154,838729579,244443587,691974396,670229964,419206891,5257885,716775423,278654957,492538897,11616702,646950986,306026643,833796337,78834178,275922590,685293512,101203566,623763509,656078816,945604774,324717775,192790388,606547432,816500784,414238241,58806450,745968573,310554062,972523071,438568065,189445485,960001260,460803121,51605253,687345870,404736964,670252702,370607189,996543775,692270390,483658090,512498805,152887874,900798326,321902214,232558689,812792038,89627325,385482292,85511775,114980633,906256203,132176164,113938045,860499716,610603742,627199142,77262047,251651528,736521679,167738946,281319374,226793959,873959147,950424104,287498818,699383203,678933526,452903220,805152685,860641963,79880703,620991139,222909835,85240261,664591172,153476076,656403564,171552097,531498953,709326521,556667839,956693548,309369435,273469420,363742884,697635661,750181230,600174547,790602406,83903616,271661984,794607831,419228654,87801484,367167886,88560573,765286104,951006428,750250006,896580675,160985003,996341938,686112700,496608652,8826906,970375031,283690876,588602869,551235124,124407441,122553690,380714466,903534647,250454724,331601977,397264783,894642660,697242661,325271889,176018730,524552932,209331090,17930224,696956093,581641945,71616876,655056447,326755790,904206703,333932104,810098296,51872570,691086075,786154701,500477300,774379189,932139088,808276112,46281558,882020616,642937407,78626763,744976438,745900487,840621754,293141714,406778811,512339028,982985545,200090743,96379688,731892731,194786370,587797329,215409805,448536756,574049504,994450246,130062120,452197417,853728347,478142793,245992732,990418743,89912813,530916549,444842591,10607588,692738728,617786191,262912104,966519363,683722786,857540414,116745736,873227363,77067215,176555643,68957746,43363488,533182106,910732883,152380108,993295616,340926397,970676595,308785303,62200157,273981489,832809292,729118812,699676301,818970131,628088803,235687281,220074142,998712515,979946995,3490108,15691038,220726452,936613564,604889399,600492828,83126672,131431487,723542994,333587942,250747279,317759186,699894415,741249907,7101324,110266899,198449991,26216686,353232706,802104277,408746362,665417824,888368646,565370168,430576891,957735373,589780883,799338300,10920922,900024492,338080518,70219947,609907255,841878633,414994208,236555139,352814288,178796140,602748240,80664841,737010978,286608976,147147970,18477242,868938670,12924669,134576177,644507763,447517763,208712927,802536461,719573433,129481234,298151133,302976809,17764986,872842257,192362484,88605057,611210823,868691884,862020191,445825009,749126389,826650661,623427745,144373772,96987882,328114637,455886080,118534529,224522919,1826663,720845079,96064957,796380633,159885838,742949386,504235461,883292996,991983004,729246603,807137342,128814960,733948180,481492365,899445598,255846118,190089810,327434115,912920518,988080331,498448004,553641460,640688024,252451323,342240180,135018369,979439393,727039561,174193302,66274203,457837276,716730170,261296156,144719489,573831035,434965159,765425199,114748479,297912773,797611702,918896316,884540955,444936329,706027557,528667314,753222655,384721590,431614072,758575995,303344420,577720745,382372457,264857816,964538069,942767103,61569185,785097010,521691169,489780864,27067643,275636751,846000150,599164211,33967024,274318063,53917069,454942982,928280442,892727017,583311796,951639658,970330026,242301121,350184455,689276298,551191919,286150645,248465465,73584682,693620621,914895403,571499980,860297805,60282498,919630150,490457567,561589717,579460503,679088169,152190912,979184344,182649412,20770295,48782943,25201019,442057952,31044094,114676915,747894309,946704711,310304449,601324803,152276689,81019229,373384289,420645317,758387642,95166071,590866597,477548481,901198885,128453774,74144784,278235862,263372211,217763683,633538336,647670257,284268114,880933233,837201417,385173529,41347500,450044983,621644040,14441178,702517056,498978326,817540745,503613053,14021254,829559619,174636142,605466876,213804699,550740383,772428266,386703427,659200105,919826246,854732201,871762476,141204776,171895765,136625246,480685906,202583237,883935275,692888472,369179280,749021910,686247880,54499796,215419337,652954969,820599356,857397439,940555642,938980318,198806725,947205582,234537643,201980654,22174187,182489994,401980344,879057254,974027179,615545365,979436321,387729601,11969829,460377333,662590116,992785026,791742096,927817366,6327010,562716420,568834003,676326927,739534038,503739630,829851770,508235597,642629603,937514799,710207569,812799516,637873812,866020060,373265106,139223466,621652546,677221261,95689412,242545922,334053200,872322489,493210994,89945409,28060643,768300917,719548519,747111158,249961649,257818060,625722808,135659885,931171511,361150126,5563793,512217956,547780113,257468888,424163016,365800372,908277773,753044111,813146384,559377887,512579304,989702247,785076417,515022706,589090973,171359496,667814595,334432268,688173536,858095229,372273614,587373130,90861762,458009342,253190700,94037520,996229644,723908746,461234802,230100913,444083252,962184442,231841712,320239636,457564113,527113402,118414292,328252525,389066051,277832689,466288003,690910597,673658704,123684924,776259973,573511155,658427104,813136143,939539837,206945640,894659705,64084700,186565026,123773533,42194133,859847116,120090172,892486754,429268798,618247805,420722218,998943769,416689395,806586082,232197893,200003513,438346326,170382569,459671528,540467873,595480241,907598149,967127074,895834117,893329952,741563567,490928162,947659008,490034792,713815386,926922099,57181714,142199882,897840179,776051490,612466997,436561879,542987473,765874581,551321275,258428046,656593313,62175677,160664063,290961152,661063175,486908487,729879131,407468266,448901953,383788019,528651108,635168523,162589619,795175358,920847486,894021833,840642003,28089638,132424694,580531444,587383053,806448356,321869756,105519650,623603208,601056231,409303935,942466086,118505096,756871084,21972320,514268708,74609495,431099325,773043852,770479134,779244966,685227747,708253984,120537723,783985651,205040376,731229226,541984320,793670003,562720839,702001124,748616488,245323642,515204547,564160806,326778203,595361646,416163812,330638170,134894272,989638968,637503943,327144227,829009601,735845097,338830524,873074509,783254491,17184112,625948964,392497500,552916,992889233,782431309,142488919,985030505,819834659,538610339,847486583,734334921,667225420,475892643,50645425,110862471,563485708,309911318,869610514,553262445,336772126,585160625,818985898,124107016,568214004,664239993,400916289,993275698,457194639,685678108,842283352,308692554,485128153,735747250,12352104,150792695,942063233,622828732,517373604,215478236,907742333,573271340,836591734,672421477,638182020,420266803,228283280,850492062,763003834,818561254,988007863,90772248,632535366,759250788,221969688,608830114,735673136,547861170,908972157,665387572,353620077,909838188,615033367,979541354,648510681,696870704,602249994,826617657,323010723,701015038,557837186,5958245,463567488,684893206,148854794,976853814,395563000,81091298,838431121,730477998,187423796,577528840,210082301,521577004,767016397,825505242,44561195,34972184,760482563,805331970,413748777,255754969,13424725,70677732,217636024,602186127,68604795,543123306,160448209,34812457,999084309,212026390,219257631,424351852,758024195,312120147,677003322,578474208,247338979,550211971,84432810,203677930,860600738,567303627,451781699,706680208,857369988,932869413,155909843,305466478,509927770,376269316,891610453,302290875,159325679,609381920,433908436,703787323,80652248,461303672,382350539,198532756,340779313,613266691,652320148,566342044,466749003,427224375,816378628,404914876,134747644,1195043,254040569,506720491,411777647,112169828,657248069,720437222,716949443,578388558,733946110,231637763,432933337,158634991,776923951,665068553,417020433,327806294,74569036,813093763,522108277,263440200,854456461,408331474,468929862,781946183,344566907,943249447,382463585,7508656,989784308,690671871,361007644,26503230,567742526,522728803,746410191,575905060,598124512,199451237,515769403,714375902,446009916,321965390,58301803,880793239,821285251,199698273,194845190,161252160,816478737,79170840,9787340,618781362,236626673,218119709,953034152,575512017,988641404,628532128,321823349,838693197,476363826,388910715,883486156,378350474,803551173,182438749,875245938,282180177,942753946,635288468,584522905,137996785,620609370,362003347,83483065,455398863,284359821,963934881,831110359,820366887,782299294,978147958,951104408,316807300,164508676,299594126,554390339,442284353,994913468,505022743,788510391,825305081,679894914,193079875,165535837,452144215,432037650,360379353,829435548,144771429,36241074,65127927,290250554,719302089,369226062,370077669,918694442,713292299,89560871,430788487,483954625,747727825,192940588,322755190,763540863,113609289,824759770,130160680,79102378,159966509,786105129,754575887,461190313,403816879,525426061,823025203,535915724,392078547,462693556,347318545,175312774,170701780,485307946,780315636,972989398,244211118,828320985,569897480,503212283,143450910,271486393,273205956,335256190,74904289,539447684,710812217,988962791,424839011,816015234,690468240,538362184,881222,976602359,540778546,105493488,833275471,527988660,759542395,316140533,836819713,629271360,897338862,656380836,500715733,716170082,99899699,724874175,691670599,24112102,280194474,302781152,918322274,651000118,868764976,761020043,562518786,553814794,880054413,481757401,371079139,77656159,537790066,460007765,89536263,401322694,969487399,18457128,657979782,126827796,986721927,425651283,349259507,945824777,760094238,870000491,576392845,958774217,112132705,921828782,791297740,625997400,541833680,939700277,756885209,815523198,506106250,419852744,713355596,115496383,460961793,591268061,599074306,684010359,935833175,188159853,862104222,679935343,64880697,168213929,890158503,828873259,450541962,370708712,352480658,876191254,449182939,985588741,798393941,829490351,324510479,981169144,737264075,345635011,811006440,195923428,48376185,985303652,138396208,335927965,956061067,792647985,161015997,765750898,847721856,73626005,513276106,250181343,528945174,727531954,712140924,390069872,411044648,966103977,499852931,971007026,436459433,998234202,476754591,114566706,57010266,770658010,340732667,176462073,611588798,346561449,630818369,303687536,518546296,474000922,932714083,546930667,850529175,910353142,52572666,624205161,980007995,9761075,80605263,26910544,409156881,182193731,698116968,759543734,789799629,776567557,693482369,90712193,893630038,719040269,691810755,820435502,794587458,470211536,13324548,894912673,446097096,683864252,656502542,398758351,591959939,527755342,715494994,803643537,612477901,454439190,258189423,595945734,252150095,409930192,821339678,340973019,683821424,632879990,161752397,322824838,529136272,84227620,954213581,309051264,868056712,576185414,814035301,895097837,274734646,909603204,951213846,99745973,685968232,326857618,261551513,275421353,353715955,379019012,56222117,973522155,581924708,67195162,799981940,403459263,935195606,257897278,50469948,21016063,189018368,522123657,335461431,33769908,541149454,781742771,261805545,928969380,282417377,222763139,332806977,105759304,530978426,648871779,609398129,232335442,414678167,20111297,927850811,37035487,318771550,550638639,219458922,946115662,158663371,750045243,498790691,149133215,702265613,594340071,558966539,195549741,863031081,5007310,64154074,107131672,920493435,567339417,941647010,444635666,442823492,454544830,532768252,849906184,186171153,566881898,122590559,584914347,772636719,121638692,189121256,815473832,534279914,557020095,237531843,765644225,752287640,693633247,599927388,959562466,708335321,369601862,188121978,799576681,558308849,113788713,907580402,773993752,272549632,842690798,267959223,755472497,789820620,26361818,43860648,160481998,209012762,829219237,315437588,914233071,877318124,54420481,694579096,696149548,733300822,451662301,571227951,97067078,35424107,868321812,134708083,451790745,810347592,850656055,395850573,407380795,303365359,449823115,369070052,313946831,866017326,912157599,929233112,626668676,695889064,431225309,509769357,19930167,719013341,712215110,933343372,57981427,887596285,590807009,874182380,120507255,198543410,369743752,793799077,680857854,515581560,319201048,452483529,692744351,521835990,477275380,683024723,692314022,696934813,534050163,10391463,394129242,534482876,237642900,65598493,407686512,336217822,820314054,917810023,928732418,901312913,757845187,221084558,40296587,860864457,105346502,92159415,756191461,801453106,577137553,168803970,681665839,583282880,381321747,942465428,654726895,852572876,320333453,186370985,720771289,518552735,866537027,949924042,106665417,213436261,95615208,942713181,766428630,850920970,105109854,99022906,301501451,714567423,400326758,614744733,980671531,48368283,298672952,493589886,632120875,532329520,840700238,414783676,917358182,13849266,263339269,291998584,587956421,922004876,279886412,380013437,579059391,154422599,581712079,455895913,384364458,214214516,526080888,836105044,741228629,486387969,964304991,793132515,516331387,650660843,582200669,866885503,488093538,875492075,404850934,268927179,864990673,254635178,718145272,684996444,5570375,711144327,367193702,326705053,265697343,110996427,364004741,982521479,574983515,292950817,200599756,850309423,120247264,272031696,378958075,444616971,375238118,592889182,522545701,384792339,829135181,652570564,542500371,21490391,518994475,769803130,667929838,831026070,565356333,814778043,980514928,534810970,235683970,770711496,456959338,130580535,429913060,693146237,893596359,150237832,623901780,24955420,758677244,683826033,32751933,687246890,920376141,44059763,206189172,779755072,228125848,284545518,36130352,79834813,134926384,574476397,376040,803880556,517389210,417325092,930129493,716372089,296779740,149961999,440722102,414551794,171358789,602693270,790390075,415172446,972649159,507123138,260330617,955697677,688498836,850768931,557613802,25046253,851182505,621029551,296243037,677427431,556619846,876023627,772622608,450392159,681370067,772211310,348639884,714744090,550373688,602190662,676201832,738276061,387901645,863939457,722451716,710114627,31969674,920513079,435301114,217673533,418524233,810701192,587687584,980744715,511567964,616381604,364715966,680216488,303798206,532614425,172092012,682040294,237201707,881673581,857871287,603015009,61255080,239244457,990293944,100161687,553362148,230402228,467361363,772524061,926680815,483883214,288761756,716483088,209609777,765826347,613482686,214801193,714647210,566757887,646227272,842767620,255749895,277754928,36853066,91855199,453776434,62838713,27191314,279230930,198844828,17278153,295090422,190912569,138227180,222506206,631978198,117158330,527118820,817119896,128970895,524671221,405557394,246431438,68704571,157679935,294523339,790981188,918651776,368322397,318010189,410575622,494304015,179940090,962044655,45997876,626779330,190966194,787888528,492513935,161787803,783034882,672583634,545035874,49430096,944663250,446660749,457088655,778540426,252473221,965149368,343922219,649287125,527240620,678181820,11187082,98777536,1853308,66250875,787817634,272576328,89948356,484008708,582583500,410266943,712476335,647629680,221551989,886942561,1908450,47511267,477427936,465791489,17483474,927474836,48084365,774095145,990902171,120638760,964482180,379090601,537122549,752402597,491966041,23687209,854507954,457473794,839894733,530652497,453358242,576077582,981971866,711674169,709430531,647943727,876611044,728285217,769163815,400278290,672312379,674840669,7769616,560755884,750556615,38142945,183556208,299735398,338327322,697786936,120928551,891003589,397271951,681917588,692196926,25877270,273656862,116960535,458749063,878868851,430203760,662683356,454806847,55101326,496828187,123297613,932639343,423439826,633306286,398223617,396180473,507505188,197958818,243389366,213396199,787293909,147716951,361558144,875950600,354906796,477636859,942837670,997398633,95492024,991148588,431342359,881836049,71826532,162990613,657452404,431709824,242912233,252904222,364381958,121973730,83404069,109387824,754196893,191707321,168411420,773641118,70798162,951321748,684821727,960172075,818796622,88533058,282885094,965336393,176141487,538615162,467144579,73086666,750017352,211936837,896021806,707836500,506590047,194455955,899906043,159793296,997725941,129574686,465632353,697758541,917637653,387399335,492050452,51229230,756731134,750169813,879832987,573913645,161808320,741320087,357152118,157022401,794940243,608153429,256945643,260971152,795580573,910631662,712387323,185674301,30121646,435139389,415688177,420141667,464634167,19260635,466547109,835771343,141465533,975700784,202588411,72638826,164466351,289459109,36182903,239704823,268832240,513590080,178862716,346206457,586663822,925131742,922031809,749573404,468022716,340437215,613034473,393853485,513881430,124189816,131889078,776918727,20664858,583314185,621842208,910576063,670711456,2425344,558424037,524071743,836858853,550095029,959510419,963998613,478407602,375298539,141396226,611854734,963346213,23637685,653168416,546975078,454441760,50526581,11428745,147046226,819971836,900331567,76561069,290606880,546556240,262098571,218773575,114612974,238097497,880247328,222576960,28469507,961938469,963840243,180693394,666680659,920797884,320104563,773556184,159590040,94814384,161473392,363258482,197517919,509151349,50874660,663783919,389081299,669702026,925911412,561245876,429387045,269185631,651559625,799174400,109253474,151968315,336423044,386077688,750802971,321479651,771928877,619659976,964687903,378728122,821210743,832171502,227465199,956208380,889280186,925375711,637628731,811604675,739216468,592638189,82784139,72423201,982402109,950684214,576605466,920291954,250067481,522137782,954283141,378282026,448699971,293712929,297152112,215495054,967862844,100749604,903656717,897703369,227835547,124823164,57165720,767921770,583391086,501694421,405280872,745979612,923961563,599545999,351012334,431900066,250761463,713826088,666832423,710653107,88057938,501332861,965970810,669021345,487829654,671122194,682597637,871773594,287848249,562071499,243531239,152705970,151083337,489414456,193474326,360231907,603825675,303065727,41292205,358000022,451632717,83805122,385690458,699783620,69932015,855092591,20254903,742564359,338812379,172158740,759664004,672626956,50142697,646254061,35228171,221773893,781911810,315018347,886535474,388040960,853349158,683127546,981100150,407021009,215143467,535800583,612520821,391949832,457780795,175988719,315110011,990783967,431382494,984695635,525377962,200421864,434952292,786539298,214783351,24874876,133307338,951434448,693124599,903258294,782523497,505797524,861039022,355172498,953289880,986157939,989724246,239367964,530717691,513400187,12035253,38216372,223460404,336324263,503072370,541553706,941371157,475589941,367352522,385823355,805385408,375096645,135453609,958226597,387881677,297222332,762577877,762770115,118226204,373872526,543209616,159643874,666727030,686282412,591249697,910669556,16963229,341426900,861407152,578201471,423169514,72169917,39626743,435326638,423199487,868213901,973877706,679035267,219246534,304668370,58083992,37677382,756457231,329300322,842023599,580183047,485047813,762818917,137593555,222921479,635974814,268734612,235944276,352126652,360242133,593407356,853867255,469076413,815976645,96646356,418143840,134095206,265380985,936173095,944455058,557789200,277805037,677819802,576669692,268538534,828908530,820735870,951345774,711794447,924076096,657342834,425890710,798682365,689248851,168459894,823675503,816866314,474869241,188643250,960771615,862606025,961085006,221609891,732423791,948028385,435989822,205319360,316459031,753597891,529056227,892759962,274250633,547499987,445147485,506216019,736772584,405508332,889663256,572848579,204831516,547465007,818171649,506552791,877181749,338670786,241179195,940416745,406903895,478685898,893994740,62090731,359866286,479271962,995542471,524526743,330553397,88160527,864435074,531384718,904272563,272099224,232428325,771496781,611752309,482829362,626532252,469547488,406151417,673991492,982230677,110608144,305472707,202102722,911354329,566510721,978366584,91536627,421495913,917759132,19213889,90189152,798543597,634182145,139064302,437464008,721618959,17823511,847061648,550786224,606080999,275890052,585065939,227637404,740433782,313011158,328908951,231901691,225019884,452726941,954848383,652630139,819300286,7058772,516399762,922568409,287528309,697258359,106122212,365031094,762031022,97889283,415494804,183334472,891144412,970585419,401652716,544445400,522072845,470375412,829602586,620215909,316415776,393208198,451001485,990746608,645083613,376611177,667407726,55746839,362437643,471089962,43989236,732120110,778905674,677648772,41627677,323274092,387118039,379081206,970998182,131889231,248507290,285301826,755715978,197416720,404595113,173096886,399637131,263236646,467806592,285387327,298170886,617944894,512707466,754372474,117692189,223989691,62903061,479605065,163368677,346895642,133812726,845714434,495932465,658035517,207747278,599301397,912863798,92202870,285404463,592803951,781361083,962093247,583853499,218237798,386949128,343895607,971697754,866484826,640802299,80197980,313726857,773149992,605161329,455638442,428265953,892777295,982527498,40791588,560570515,436600933,478219144,438144611,422825526,259795103,857629820,212850592,594068238,843254073,973752375,560681021,239828553,900366410,885318507,483605019,215637614,324569995,332406731,767896754,922009278,296986916,681109404,800656703,728333631,52585276,551728994,627789000,784744640,544897026,383860120,759196839,828596683,377137115,360170936,768115968,174490284,395300266,485846210,578501760,909874985,678280865,618472277,676364952,933757206,399741200,243305405,64278304,366454816,664749865,293952296,968895913,813469551,60181934,666293359,823010485,937025608,264627387,580768287,377638609,880875020,172389997,817456019,546280000,72670078,263214339,188906769,312017742,18775803,174065663,460119932,120839350,674939293,767743814,26923210,967748308,112760854,355835935,447716699,595213499,545196428,389926502,236496079,613053500,875552527,645546339,949719764,465665286,354090667,173640591,216017586,235896169,590336193,525064112,136490918,265430775,989989389,973747529,346285065,852969387,689503931,670635492,629906259,938176303,96110328,486024168,2206499,700928398,885045157,833889824,133978281,7923685,128263291,701498533,9354286,50491603,523571295,555424423,970335891,90614422,287003499,335702805,311852763,551623285,43720590,25487458,463866267,966848903,553844800,10055852,697504952,740841029,943253704,784217052,575784958,322338761,516406855,173550061,816450501,236192205,489894677,871324998,349414932,760343463,143091013,691633639,718959354,488874422,9453637,929013282,687983658,838469932,362222469,42629464,23023075,160157568,759385699,869335896,925772315,561355367,525955097,872723029,91560619,158351306,924804652,195013569,425642617,854202408,459801242,23645352,721328094,552182552,3351707,846122874,875441719,942452367,662027549,131395764,840741328,873252774,995898964,160013325,959282292,805739719,766997606,427106559,523130204,480690469,897671965,556031283,965354800,730050931,602008730,473153208,244673957,25112095,59035890,522563790,199678615,685499551,289838972,230061461,132305402,483663425,960746561,488677482,178038459,421901761,939955394,721357881,66652909,781025115,467816808,831092720,350300031,292178517,702002781,986894001,393409643,761581637,816326850,401403349,927965492,902274360,245962260,143531290,398984105,417453273,986993044,936744368,376078970,525251249,270971582,461410882,72981590,220997600,587683378,591648179,331287372,968833923,822596760,778998702,941521294,858640569,808479357,110497576,57396930,256955004,585608823,236065997,703205691,746919789,474985313,240309315,17526834,713916040,826234210,103346086,185769110,410415522,551943577,687871662,361495253,161579828,43969667,531915733,699045808,312692851,117510341,60873779,657795195,496107297,247052816,409350349,654254733,418569138,329822442,794579782,191478659,906933594,481488950,840039898,151063715,877423139,489138466,419975351,708366073,179201076,15403111,102002181,726941971,682429311,170746037,522023826,340714209,947221573,744966558,61700876,969844367,81724583,177105666,476786394,126092909,473243552,857823341,561342062,1950164,650468558,364317885,37497996,426588110,766325248,165727498,377652088,870561804,948127809,366634230,981134891,324337709,675688756,884334884,773279952,408674853,937844205,812544291,32305020,991828200,660984350,503177235,927124578,846638656,486551167,865653268,487626128,668409434,29004665,591231153,443999401,648371255,643825439,910709894,255057559,648630325,579183732,652993616,257823539,714161094,136541350,574495905,76720960,190632072,417444530,304149634,170836742,45188149,117391230,100829775,361072328,443051171,318014558,169593804,214436098,103598884,231202136,507258096,693185119,202155992,961652439,976349743,559917668,872056234,888513965,273311120,960795928,347166919,731078491,652737576,971007319,228899402,645226791,948062121,932307718,50639227,400195416,369136560,455196994,555612996,808164238,819068161,741489630,977403371,658969736,296785969,664643147,859521999,785693464,681644119,434337414,741397672,83270381,697067266,989574075,485810378,362120026,85821266,186209716,821342284,336655257,812225390,201596621,726499291,491702122,262363716,155687642,282282511,262769968,756205548,971962,921732270,118046884,386358617,308791122,215818302,489586853,32448832,722330571,571685286,549699721,737454722,112741631,390000399,569929907,824653881,113167534,224034182,603869789,343335208,114809976,79566661,667699981,89767431,32686383,312227049,167177142,961088792,178873944,608690720,482320428,48160885,355600796,232684351,454138451,817074340,266237176,653346727,670429387,927101151,306129136,198399880,600108027,730955009,890157613,860758407,666283938,79338775,20301367,577613071,894462129,174876144,759910428,585605680,373111785,373217299,754871146,567189864,87796790,622312334,533262721,545802946,890012591,473599724,925727195,357973571,479054151,85090483,506355684,728267653,624213187,419829336,907914081,637242239,903662735,147127600,265847146,934400884,118851207,235064096,37892961,370941544,425163828,219004765,644607772,320818169,682084551,260697159,758040417,828535267,675823186,472377233,154399448,632309253,220067652,937672009,471135531,898054677,57535850,16838276,24137792,999322825,176203333,257320767,128629863,964896015,969869916,239031605,288234834,948347961,732508726,409779988,582448837,725365187,700758549,974029665,987685733,208157229,705223782,643642186,421148068,43784342,38836383,504153539,545319461,47297170,856264868,948072254,894518778,562473688,659509714,548253669,91044579,704120130,674908751,349480934,123372199,166371877,939701438,237401965,792308572,546013809,131537488,415949979,867877439,174149298,57569861,664998431,678165458,358916066,51623567,353717503,461599611,40499155,369593471,36676759,264812475,123715641,470688370,593472824,888327082,959345626,525813245,803211641,33680413,7152350,9533475,67154487,230149005,705440769,564287215,839554901,439693,58630236,632621303,193915581,860547841,42642979,371122612,133215996,179278438,946692336,130456065,528801948,630991102,567783980,586657279,832806122,345190553,374305766,439913458,758950359,569035316,25405455,334777719,78969806,469171060,288873447,572426436,282256600,775289958,141901153,469542832,423519670,399428638,470406167,614954380,863059093,816921958,430706384,61206815,672397939,466256017,207553294,479373210,560183259,271960753,608420930,220789815,224659139,375078449,877030288,898878905,401678290,660371704,326951799,949890650,810691450,733410621,580874766,633436165,66966220,389326689,313396849,139309842,433084417,229927478,431277552,194484188,70923261,733141318,585005130,838304891,130553005,889943815,820460585,363133071,338016718,363880448,795406273,741595375,864885523,422268059,158762460,654719400,610747512,388933379,552288255,841268100,649400929,561263206,835514764,920671985,320832044,765676994,122589299,79283088,765759620,873565544,81605367,888507061,713469328,341204338,889329646,530895806,767226163,541246571,139209837,765376270,767833885,316375726,882259350,529830601,793495591,771521026,187599318,790057604,779209879,364817410,504708141,560766401,476329153,238532911,493558338,948635418,675549130,958231709,577844914,929863319,224493682,275112393,624487428,141846201,324623267,287024816,506520244,506977776,322908743,976445103,63693151,721463596,712066519,353758458,573328372,307954379,411253196,966558107,30622353,248747469,569264185,94026131,405736092,775457203,413495482,47827349,514301740,209128485,129513115,791538074,450786746,855533020,957750087,698485616,492581427,204527145,81357909,970255042,452557132,258691013,49775000,339849587,164142201,873412158,703236150,719328439,246770862,146074393,448828285,123131600,480165499,318144199,485481918,924427704,784137743,114205664,582652572,785524683,741501256,661776278,133438654,4006172,386432524,725888498,755756547,3680007,316027353,448160006,398810294,515445604,620572806,512121573,466445888,931093571,580919835,314419761,617687804,842032613,846770922,907206263,347278080,286460903,652945512,554115165,260646233,815877527,430449681,691984032,89028337,588521566,780085387,566355042,429913487,42789379,99829926,936705619,679335571,998726690,85328008,501063127,740141131,46162349,330414828,402696027,732745281,262969170,910343505,586070865,163887961,66025593,972354619,293850591,576135593,265996767,607334905,749207587,569041329,855150047,503777289,6173687,178315177,750762154,51424231,33796580,121052392,908308829,581431255,258924928,973320903,93366171,6503797,597217665,314985936,904172156,911450384,521553619,749588040,265243981,654167351,287452972,356166895,8220813,732956100,550477169,175423306,99093909,414975847,757970733,103969369,66421878,712006509,989216382,576890915,795643276,78577570,360529040,361812012,433535405,192629086,925124614,437961832,49246140,689999553,565822180,22971266,50266551,758288487,744425768,796441458,967387998,33430524,188466216,732917336,312556134,423963113,168550387,350690114,145310337,364558808,347593395,709636014,945108455,671566789,828181309,220065977,150351674,100734715,261336962,886771332,943535182,446786616,758388721,689367384,284512716,486842493,81021949,448822193,43135728,150155604,740667260,854317117,8326871,371001426,363448344,933716475,360341510,318322509,539834538,345588807,557888330,809321779,998910262,639440773,165269137,524935848,640240621,243339118,726981224,35761187,494300067,992653190,92210298,302996144,846826660,720653338,875143355,181138170,671299202,991940965,196195445,78536551,448296750,535525141,373413194,833686775,114915586,990515304,728587357,152884375,379621636,222320007,492198611,4272683,57930557,436384161,827997364,905778380,273742775,508179215,717769547,608948993,196291324,10164407,97813745,35222133,930891959,874410288,124259331,15608370,256325131,244234687,556379437,586206779,952021692,4652030,915043394,279008014,857429902,890220512,302201939,305407260,632865272,614380002,281205725,363506537,604314400,381833535,843581038,78161400,951559833,13260176,67211565,923355954,471116546,800607159,392937123,355406020,429844235,134255046,571160861,903721209,517550733,489520853,449706526,768047558,320910658,674021521,748448968,182146580,103076942,789593777,718666274,640505281,645430243,947556837,787598027,2447642,687442132,752080623,377867102,26438417,285016861,150625668,213166511,580501556,895288605,21849366,76661503,278969455,336497719,728774076,572103279,101179756,395689447,195837654,367345598,212884006,380505628,399251664,621160694,51374556,483240249,487430698,607534604,1265225,3814582,277091546,86498077,843280645,652299465,665046698,777145470,949576078,919101823,102172560,445094612,725426868,608555580,702831769,948159218,305239540,238834963,984564673,875005929,596713859,323332952,689390217,768867673,645201655,764042,693748458,839052260,533225787,134814176,112977608,451705762,353507570,635959353,236190195,684703195,950210278,522455419,874025269,539316458,70618246,263142310,402388511,250550480,415389268,82120625,919423747,130436340,612149658,857098793,635436421,298044755,274240289,791704955,188248531,527079831,106711311,142292579,995950961,538302240,446367795,345896290,593940199,729119924,588586887,318247821,581677648,119619323,281906093,32473029,115250540,112412175,200440251,32892598,547188426,630902521,896831693,652447848,367094549,659014251,319671390,234757003,119199673,412676452,746410992,948009543,83549541,374479575,153730521,580637702,702148014,718540177,290767823,728891921,522252076,617334404,112229197,541078048,159257113,7867766,842253071,698509123,662102712,157891057,605074508,166898048,299369023,705514247,61129316,609592887,54622497,742051540,961673077,479640496,501242301,492355489,33192801,58929878,590529846,994315046,672700733,745347663,138111583,149966276,143359000,907138084,740297667,356753525,810983284,275490430,335309217,402040636,113183122,121827608,235136141,136944699,794596195,101620600,101356116,529328847,543773557,329274294,822747538,157113429,130781412,762096006,117788692,463288359,84406183,694950174,439182551,640180188,45896175,711520608,28335541,194745171,256513199,588647587,72260706,579066223,76622789,988431476,681768231,571557349,206108426,308365347,351927434,347234294,867194970,211950876,83352767,347538436,486738764,385008380,206944845,167218288,441656553,729442141,31218597,165022450,462981471,966786625,17312526,886160073,63605608,352032781,724254796,458418470,300258250,797537678,103091768,508639908,582601742,69160514,524344508,921469160,684290004,960835534,790792909,605677796,652058070,705722105,715635774,817248874,814798346,837351320,92156489,517583077,593686690,491952271,20182918,416203831,644639432,751787226,694486520,599372209,807482998,702800189,332947502,767515368,720786374,443407723,851541235,267059886,13120877,265507666,339745463,527016810,255476210,383833261,362817658,462343570,359888882,854639004,180088620,126054595,781159544,415054174,836322486,214834785,814291788,884083440,933117201,300331476,215612967,619499992,838368891,744192967,514277829,277484205,924588935,948741289,529606919,205840555,859671123,714555037,418752497,740745094,373202385,475986548,426404826,598371597,881872059,725466107,838033092,251065961,518572785,973614068,358671356,523079572,581886104,190373165,710655515,148435561,514556787,265975399,158694963,592201651,393982414,116907114,18774476,267727985,565861600,977345221,35694974,564332016,563486065,846820962,17295085,335825297,482399932,592161546,820847705,915928866,86202501,471533606,601397679,844104879,776807282,233250642,627783162,96993327,950345122,163764005,314101301,571875420,746320579,642132945,137155361,481530459,174853581,918875362,1975755,605177242,226225923,177742603,844323421,810884044,555677759,79497713,377826339,610642968,578006664,139568262,165854549,46384806,514124993,40308798,925812329,139829529,994305424,708539986,976091953,41557546,628616343,658586918,506436036,623734761,216291003,923720287,369847886,752427129,499311111,810064011,814082952,69323074,666344028,954212056,19988714,606530788,189967179,995784003,16047173,420825300,170173386,133436116,625221852,436193291,789814167,440076340,366889481,190965736,908369814,514714179,230110170,206436257,939506575,871916997,383649762,678053254,817683914,958637682,500964256,903768898,460325249,87109913,939904830,236353841,714548688,796494020,918150481,369418962,170957760,712939054,334417753,268423866,73462369,424452041,663721720,975462799,396085637,973280899,510757734,398573614,766458548,742412326,562025113,886673004,829838767,228596774,546913595,319267377,618116543,572381609,247803977,683222864,574238157,963202487,236320086,687400735,297793516,997245608,996675339,635389552,669333082,512592751,875932750,587799853,400301033,183615861,798816918,408519968,68351386,518277156,531732896,257180482,170457528,872466126,917011781,797414255,808892818,591081809,814149636,51956910,591285933,912284219,40211521,484229477,652082280,32607334,143137295,31508098,693890111,983841694,362188389,975709695,136798120,470861519,726454632,777775897,74554038,600007123,975277766,378266830,926726922,277383886,464475513,214186599,946026087,990651332,838152604,190806448,574979778,377618150,549120191,548735400,836621467,289366065,301678843,736623427,778024077,648990288,363167715,343578453,172820553,60469571,514153788,885828331,184109709,704502930,375243179,783831224,956089071,524611639,664039469,657044376,45821405,403901760,309865518,162516413,485079541,863497440,909298281,138352555,287667575,772465015,154139049,966595683,707605772,261623709,967412181,746381320,444297756,822642392,417734384,583335234,20938289,48565750,165112854,195112866,574145244,837642490,393557688,575234190,505366293,608459422,630833743,535003335,297717540,664507419,546406516,306866781,406383694,616300997,751355597,342804699,910165382,964927398,441237469,967548193,965224995,517407605,548964671,257203515,951896096,813607533,212172964,844621016,833880666,116778311,715395590,739440330,855738413,105265552,335691010,206747046,690726422,797075350,352003689,835851624,400325479,308260958,346035373,442656918,230079243,63303473,877454663,229626540,204580209,960532969,395730592,350735387,576696996,803012971,809656807,3618355,967627547,622134835,526616133,140525826,268571333,828897111,276965627,112774079,117379394,740770889,965999849,408260028,229816352,86820168,738520095,713573005,936718587,954798030,343553637,930143139,669853668,916847824,491469648,910005358,439304997,525730225,167187626,462231352,622874111,713309510,875690786,478500732,78288328,507677229,790494831,811364957,184010585,799805178,730724044,868051588,377989506,29537517,754779310,232895193,114094357,364202175,997595654,148406441,581177473,140622653,377278303,755372156,802106099,109903959,357257187,52944000,106332245,204056210,178777762,516148652,309427725,268026408,969916428,470534448,246331814,387812310,345033609,754098486,414293223,453065975,101261953,848156122,696644732,72209275,44605820,58132560,829477489,541643812,626315204,863179246,344220950,350262847,295564615,893181089,127954018,794621593,809889944,66315717,918374213,415739652,314200715,561461893,591222778,255456333,657932189,41387322,958871154,394492291,62409540,66845475,617426176,38427431,689922529,225019980,79881242,282018028,231723183,212854585,541772964,156226852,214136510,145182052,738664183,545629520,243607098,168561793,482831232,224564069,859918554,298393624,723108177,263764184,606885679,405260039,782853984,942773706,858010793,317040396,372623895,360119900,448879090,979312313,974444185,797731091,716805321,742897805,618589214,98763294,756726084,581269868,954129205,958963189,310176652,834512723,670775430,174788124,850579096,585431497,722812427,759213863,490287745,831689039,922467142,696922554,785682700,175926624,620552534,736950255,533713670,425658853,942699412,229529841,374935957,54580543,105072495,474234464,961263354,241128930,903246729,592029225,421555294,681196577,548010014,103316,110604608,752802736,392290456,299288989,55279192,260505154,447368382,548687811,187475241,526814002,393126442,964601207,732492074,776031440,18824339,157272679,552894273,299178330,622570469,540305334,267480888,104480997,451748388,544848403,529126230,28433533,889776765,298107582,49055241,553490657,603577810,199292271,570808346,115259339,874001441,534897623,260309741,669864151,274002666,434378341,59093172,241490240,889351732,546051358,776028130,975218997,513662934,51350118,418526118,368124381,193661075,260676459,679778823,508333692,798758724,330941489,496912187,752928666,650746327,777846048,887359390,202860897,741661107,512808464,150378939,651102978,616653925,561971174,416022321,766329169,572247629,923113215,64290191,143539847,936112167,646540992,113423996,190256883,643894838,146101704,787301183,670244118,690513637,613288907,285001559,731086073,745125216,473397184,156355772,797820038,644883565,378048450,938548768,805419473,79336369,497534273,89824224,46524778,528241297,52930953,921415150,298446278,715703330,93047225,193361757,837871629,541375564,261740842,694746933,931304646,463720414,968656529,673302817,637062984,294902472,767777728,643308096,405908621,203699692,703291394,888569860,997458205,322949296,487472528,884812371,955657810,848222499,754087402,678646662,924056413,350935853,622287912,231650902,365136259,127545277,527616156,532021199,153368739,844769644,742013261,643028109,957098590,636584375,279938118,437649491,344028619,395575744,153715216,747313672,974451996,183963644,673854265,876986776,569696459,494424661,797935409,228020199,949092065,372368128,667572933,420327981,1370335,583841631,697777781,486099808,785253809,656856245,244920094,276729760,636611249,810298230,336688525,107588674,883899196,852569404,922936432,376998422,129391477,309405037,86084464,165458144,120249913,777756242,693966639,308115720,507793432,318181301,45509756,368088879,27270357,544804237,385501086,90311234,538802495,277587147,352853136,416758375,132824258,310959610,979154124,426980530,259941145,107852094,494516905,46266440,388812432,543394319,75513376,820288092,961358905,834709709,534404831,273670225,114088298,888023312,563029788,831754580,640137162,848968006,500333685,262734260,730921203,510137731,75085459,31524303,360124208,817394038,700694434,504215125,422750041,117525523,645625810,685883801,538280266,618751352,844051982,824694400,122700181,554842785,202819432,84963850,33122832,710884652,543924158,393669286,293148500,618325522,451748303,93364102,651656324,810837588,842724532,624100345,202576090,278839967,619233854,138245890,531993201,955415378,968933407,231652559,239989792,625300805,326412969,304691922,726001551,454028242,540692052,318552549,229046176,263958105,938619911,820922390,241280811,199994497,852390652,496387300,324549679,525886114,801341270,961848584,973263389,875200369,20830378,104489555,336584511,434771737,318015650,608547183,478510296,453704922,812850446,558796171,402541731,298144835,880218326,375789452,318049429,516220155,983356741,554155888,624579266,326474276,73030277,271334365,376360340,841575065,531123959,966203342,124384881,325298762,805462972,903819891,211737550,295491188,945831876,84956690,101494884,271001641,483498391,654500109,679057882,182503314,8271912,998633409,394831691,521708181,1733360,981073300,815586090,23307717,367279229,913024195,563223367,522341497,353604960,261125289,695608402,659718554,389350797,744022407,959985168,946822462,734090527,673247896,326684372,201903352,877575705,428992706,23097332,668053307,261863569,497025921,301281076,628203416,637426684,971619874,914024705,173042595,574541671,141718678,76155353,330917248,837135062,865772937,977707271,526053051,463987019,704765315,907581884,704683974,163747574,131418646,922167641,808143644,908329057,303032182,612043648,423055338,897818238,929999257,867327269,813737015,41055413,64312266,943548738,670789200,208823035,666075126,486507924,977897216,14083940,463257894,193836813,121049423,884681659,647149181,286624458,837287465,851039543,266229318,138013656,407873925,146351768,6461417,19790310,145337811,459796400,205770054,610896410,216382426,497877457,220982427,533338440,35235941,228828120,540433982,937868595,457529904,775382022,170636831,738587474,896698823,731452782,174735832,768963931,959201248,892534846,796155143,993599708,325812466,727949402,936582172,435464621,129491508,574739847,805699668,969529719,983159066,920090744,279231607,420941210,628466093,476189556,361221019,896718588,838297276,189675788,801836161,885155347,919495226,554381996,864331629,229688629,393033443,66629243,825891248,954463244,932652174,915577304,12570300,245585503,761742809,433436171,314215816,992792055,739448856,73408006,380659340,557352292,594351226,869898295,700987861,760080859,747512073,167841934,67684137,465720746,697935998,587014785,169388310,48807224,347743558,17088195,264885854,23567704,118589031,336665382,583116593,47190533,842054386,361208602,97590652,697747696,650830564,424799343,925806356,615333311,582652316,624785716,414369717,577624611,317390730,605320126,505479316,368912816,290628717,304203636,620396991,868991186,432544075,86910624,535913876,772885102,706254863,651857165,187870985,831402038,924587296,924664917,367243432,286382187,253488200,620685168,71462529,51652042,884763792,878543922,969793504,778235867,690915499,75242353,462398210,181011938,975835078,717009334,649422791,642534333,556367840,773427096,869479473,492393490,406156169,663308230,699624795,502565425,947613072,282862777,533960178,399795559,2897454,648019625,607114054,862256458,765700750,627843332,906470411,855896066,711876680,503463710,53435759,653304614,618735109,2520048,791095687,210518110,278536522,715432822,413748074,13825926,570414886,43330261,508286807,370513167,963127493,617426133,698024031,585147351,528251733,95747763,889793728,368695373,365409780,897444625,180038609,852221481,506333721,446194484,707776564,670636962,239242608,663159594,261470371,266072023,63621171,226576323,572530145,521459548,220305602,868747307,533469765,948499024,983084453,351267715,267174394,129163979,911938522,821218787,673888726,281553664,141905811,345693441,3061218,403301258,373606973,955542405,474477831,304152305,559630926,655843896,111429743,728649639,747637555,672528639,911153022,55536710,990659043,585192843,182212583,745691071,270185474,669134167,923040067,208752837,612966100,15761230,76441109,112132922,278790166,190036272,985101917,470645049,54110323,137007610,379547925,848153406,213615407,349419123,354257302,46443141,693748681,35650369,285209127,70458428,917103937,379559938,657219180,684443474,258121732,114563761,688607795,46825595,369563350,312896632,883719848,835386317,392121970,773443188,352794456,389876434,907422259,913047329,958242946,172819754,943027992,990116219,409700441,476429512,787438359,835866423,640795449,782417639,188839133,389440421,231910453,391423604,577397638,271951130,256892007,504544994,72475303,750058158,957550601,603202204,119921061,929877118,866291830,78607519,54856254,761607881,564490323,443778600,276060,904949601,512119573,863851348,882560479,46747771,619953152,798826966,618100748,961303696,699784382,414698315,832616899,206473507,378238932,314948390,229257613,597805436,838045122,703226114,961950848,772637058,844993324,289781949,339892130,954599865,353379600,489753665,593581183,641192051,924391467,748675884,771783268,814840638,346307077,363027924,196193152,696890534,1898295,195867604,281935631,349469309,62392226,518752655,668869286,513459529,825537663,207438347,200886105,95927475,898231708,311857667,303103955,756348020,817469020,984435664,303951566,494857662,72059534,843232879,490799439,606537732,125501174,24138707,877100041,210278819,488901650,868829846,402277466,561975466,593648660,803853049,279263031,758211196,978735008,687464078,414942997,352944044,291803839,464016197,74501185,705684118,202939956,337435526,57406528,76173907,280988603,615436383,896316987,780307796,805789434,192367414,727350854,220133602,981066016,736990970,434947406,19473967,133764983,20372012,414948469,716916654,153579710,470082689,370480552,856231050,494752289,386715594,327916578,94407789,411095555,873175264,320965070,652683875,593710782,419560103,413489491,918367228,981964973,825510625,872371687,153374157,99528025,469180715,41374940,10661702,127432873,176499171,247632838,28855725,724609526,753367677,629498586,188224904,281666628,48255296,227688489,366307144,478476068,675526919,449066592,407053240,623264708,794871032,739087283,453890992,449307919,284457874,146279027,818402649,679932333,432824782,187149426,984466640,881197194,62498977,871638480,152189637,793361722,876514128,72578044,60299321,744553331,376322423,802772736,903881822,270139825,728148750,496642480,235702683,829846084,362504806,819122937,136605321,408911094,679292971,817110185,279659665,655644079,983303651,22571127,232499558,723286524,594819293,706753,669012845,563116331,306625666,777347982,32653856,943521027,123128225,755510749,761196725,327977990,898041841,278262408,489718575,265482004,888405032,38749287,42953476,525901400,8319378,463846092,926140629,472358581,712784375,461241792,637042695,392668547,774435992,904985831,809379149,906772679,356921994,869609733,307633214,546285988,751173825,316739098,872224946,883574556,154141589,746560056,934826845,981943199,332897410,2192,652659492,626223938,387238229,437990088,131867652,562809824,314248031,367268403,182497570,196619479,169065008,99532006,393674437,156596841,12237272,810432365,496782445,219450011,907385917,440651774,854629510,649893485,847961502,335849109,863972479,366563946,990043228,452212651,758677191,179492606,257029103,680387388,747003452,551649481,752968972,500702012,64827185,317750181,597669587,793871948,258572069,611468028,835687165,795287851,680499159,642156482,483113001,751817252,785782371,779387785,588656163,195969465,553523677,191915494,381944650,992395720,763166702,330684827,319080506,356591004,358963387,417076669,989562486,666780197,166517154,68239187,620755772,797364933,746193157,753436659,619116506,262096085,374604715,235032778,316526106,675211281,942030934,580470502,848328200,801309946,691686581,468829606,968653378,821231476,283512738,910427233,414916605,673897637,221420052,174227146,263469889,828944097,133276303,145172368,155652747,604895642,13398295,52866090,800533100,66202985,366176115,239960524,784184848,727224596,215864718,464586614,400637718,278707855,231274670,493024974,384959339,327182263,681836722,1425502,170848405,852952063,512215945,524087766,22386812,241321806,733305400,85168158,911982138,938762810,807243527,960412269,611915491,580206772,479169536,773921779,850340623,863853171,703856303,104817945,414138279,356272630,809828861,225313893,328924744,138916155,774761638,20477613,775339590,2095187,494071825,681301176,334616950,861299875,84666172,255968476,435038569,963270119,749326859,803471911,380934107,518705272,526366651,612940506,434537501,869967534,793070789,628403497,735211557,801430813,753339326,634215190,266088866,627964573,913513334,353879708,928825037,48924605,511356261,38896469,946152284,589227196,217769624,524339629,880557584,973126164,576262072,621373243,897920455,801029673,23473871,885288683,206989449,953633798,214411392,65399981,215220662,674027851,228118843,675384815,903463287,315499297,865546196,771618671,864693478,903231528,818197229,524529171,544374741,759656066,568272127,938331296,112098492,2932350,331032221,834356094,385721137,346919086,265108169,89006657,321412806,780716939,602672244,141595305,309770166,316737199,18823443,580506550,766325813,372558996,546683400,701595816,937668533,134496796,372555898,500867674,483144886,173767011,875040205,933243915,463752814,990019613,868571030,821143544,365914968,513232273,138097226,931489576,509974540,42746507,670176996,159930854,520693754,177316886,378952239,835134520,160826833,33246251,412463466,616079976,238365215,806334674,910755643,638145689,151489829,575796417,687338838,545700703,102399534,789753507,58350680,442301973,30380040,187973969,276860293,10529067,831442762,630077967,279979080,317145227,402757723,448376710,283665824,250503898,562160239,699418723,724642398,830887049,686912263,821293871,304827466,858702880,673553952,263619072,807263426,435919415,368372407,59488916,894694580,322481730,114673702,697100440,710855958,970701722,583336373,220582845,597506983,982082689,685538597,575305607,907832241,402461991,273790957,854985014,572506407,125583006,950846781,914035741,244386812,639370920,882301012,70403363,240678140,116984746,926738015,499810131,307116070,581717037,523561535,533818737,591788665,123261521,821122230,204218381,314369989,749931467,876618459,852048349,6787268,112383575,951515500,828254046,255907460,701949546,292335717,738305791,171871042,344046938,483761272,899921774,531439472,512192278,744121463,273221131,663835209,283349758,810905617,668774437,742630923,951669268,20262547,954062870,85094508,304289258,744382570,237733984,369651623,631869267,812046294,841468127,610262965,169619291,219031916,749070486,500573983,509939606,948227668,418079994,11345757,55409260,428443074,825950974,959448611,285932813,979603257,231016137,253935485,202239244,44862852,621198066,112343872,340251770,642119138,317838637,670666472,243905799,43647893,296603849,53734137,790739904,271564605,153463579,869031470,386763986,363268245,182311775,178550421,562876989,953731866,174749993,964766427,351253755,61898172,232105211,765995997,82723579,599246905,813897906,534174540,238843023,587948238,55893034,789444599,691753337,871938673,8492792,996494073,331645288,410844443,842939353,627009904,434701566,835611615,208435348,440497456,227263632,456340127,620600643,555256227,935559527,151326051,513686259,633111404,952202545,977264058,601176787,550454344,165360116,503040520,966177170,512706441,838117112,777503711,41769242,941287258,887075868,537603585,841954290,133614728,639392446,160051215,324125447,216552251,206892861,870764285,439658762,565788743,277979466,10672797,710944034,937184274,504950057,514111568,560043214,383053697,611601853,395311310,915211197,153517563,414260872,247966997,743366467,69049348,693593578,759566784,625345326,272326369,890987210,382926800,929615019,457952276,797747600,652953311,818560872,390836666,725431654,618648367,279471663,586959178,294910482,945650237,420662031,491649396,752279352,369776382,854263467,76197636,339083422,467960341,959032798,77114530,659033178,124382220,542412067,654100584,463524931,702265410,453709769,286992157,947547399,552268277,77053605,93655879,934568947,782259001,550413858,612339465,102301715,379092377,751581432,889067106,351621155,718616573,173863364,77456891,112578538,234736818,817054906,814273416,589371334,397942708,671385688,347777130,862811763,103776448,214558890,818315771,705245078,902724873,768969227,422505972,585029973,939561420,549166931,543967578,901910321,869958186,525201714,249684770,254188801,171196413,515233844,402295930,364261582,931537296,613030428,359513031,214497759,499339645,419728029,86707024,152069141,199106446,839584218,685998841,494685727,962252604,843093542,619971564,558751181,593634291,32350899,354419374,384307361,200086528,874380977,813951655,835051669,192515333,322407463,410128619,621928849,111367893,759580082,569442893,414021718,477216891,705437820,220428195,637723943,960600264,660062620,879263824,785525176,499075495,991708110,70212211,543366829,998892058,658238906,335226321,255411589,171095638,35336097,88045685,516674392,604824830,282614942,467363071,937726992,293574475,740468107,921395707,102048009,781775711,817436562,662861176,680822381,913286867,868115140,856559913,936252239,544047844,807258620,348007488,630232400,577548559,918871453,162069086,462953792,140346420,760974628,187027244,143693210,548272498,998859621,507380742,264068531,246695758,700749574,259632007,911157169,526405378,753207981,992651451,162251620,763742336,453140470,765051969,95027403,115246976,554700724,240773467,666447217,920450966,339452127,435307216,684789239,696899235,406211176,474321440,686168095,261363031,140157882,686167015,401692372,33843209,854881691,643023522,461285456,40306365,538707044,355186258,141415379,873736472,552864944,561575598,582663527,861505696,483692851,617786289,33622286,59305863,185445432,132057046,83325193,700279367,248949535,794270548,633292845,392246441,627081523,309418022,440714786,271564458,139402603,867248507,51941491,514688719,369906224,706623176,252719754,461989536,668429032,172217529,414713756,577129402,144164339,350826227,188476444,603148629,595696074,491950060,176904094,86446972,380922238,282530120,762684183,901464170,314901133,982751785,645243466,607373047,130625862,373695176,985437769,674297946,454581226,190386942,166141975,772535195,740268300,564560496,777677913,183871958,868604077,686092057,396801196,446703630,495536090,763121335,889019709,292783739,673508260,26784746,531850867,296677124,750936994,287475424,34844611,454725016,992648457,717188185,996038577,490056308,119204302,213522976,647999798,489638342,170075585,256164762,426094260,751528684,927998702,396215993,718894230,200303980,738997223,233041063,869928386,962123845,202328896,769435799,172638025,861810940,84211097,626622989,190170802,266205836,810016256,265995887,849350948,663581160,353099647,678426999,664962987,643085040,25887832,129251781,355235736,726899051,944520516,329622253,358289405,395719534,656712509,930908775,878791776,918347047,941546078,795373863,179994037,202069273,273982607,413251591,402149349,407039272,997800486,645823083,609409490,74000274,501908033,718480230,789439895,462663407,985294033,562302668,859085962,104692311,810663630,646417821,325953929,127025698,355768988,905947346,143277169,209953702,177468524,467175525,377856453,800332147,281981444,904946709,921687584,282246627,281142151,424066820,683315601,998740707,98447040,745844050,19111410,885818644,593360181,450529245,523843454,554810586,916020529,795628593,655833327,498538488,205334456,306836339,232600986,205430942,272839032,729618383,109394413,644666313,750743815,878411744,27686645,581847396,238038122,102028393,835920451,15269968,505855777,602560490,641483593,26827159,108427466,956039161,508072119,71997470,440033082,26404842,957766654,313490725,846287944,770188802,730840959,54720803,919212602,250388658,106328127,139035218,992422758,327038616,401339945,529578197,294302563,346836174,644651888,94816095,849779382,951717157,967478393,388407598,454986195,995850207,448423420,263375322,332884750,434846221,552938789,407863623,286125942,574892709,347713260,910426646,173874133,764835097,776069398,609154922,991855903,107618076,629136123,307847007,710076398,166180463,132295215,511807681,925259475,15144988,595827180,956118659,457421448,166203219,172453806,309993096,648706719,875470141,123393178,606367504,301411557,21232050,471170024,911759285,538311690,913477377,276536945,584653063,431504256,589948931,929968121,914272500,674461041,625871554,985355345,220512656,656127555,926799244,351042012,697774226,455568888,873323637,22107964,796360945,383160754,7965890,4636079,97766141,199182741,625620074,959437964,747976098,968186125,909303072,922451235,292676973,489358525,475244730,276223295,175500938,986401594,785461472,702302204,177521210,738080648,156839724,323694006,454667,82688268,665777686,583646325,450911548,942038157,885784486,529519020,143759998,237787826,723142937,399932541,381598105,68932071,409067718,367972030,843652452,630818834,208538886,548742370,625665752,141164744,216918345,328715435,647325440,187471841,922012491,841947045,797498633,481945845,507729020,636881455,310536307,188347137,995412217,920616152,267241042,924676700,356682078,787542506,421654194,598596768,585418037,835714984,515669951,311327507,766524617,798783660,999857825,495995025,604693206,179066278,94805248,758649557,453806947,260316354,476343544,593943328,959648862,332920281,873954041,236776059,839993753,663967576,454079509,132631797,383783558,21474045,703489551,988816896,245887697,101112590,795143314,466929806,850272713,717600851,752962425,414648026,192933053,385061867,995833406,639520374,20404463,371949057,834744590,858149917,18724796,518922769,689570604,95738871,827760861,392519225,804277944,62006701,751363400,839853665,28821129,695163928,65758410,897498003,137192909,706062514,396336913,175332144,326725514,421460783,410709110,933654864,346968131,729740363,112342416,209813611,831488109,881117074,106353373,975587577,249848856,714344519,46434118,732584381,617872645,294267140,950113638,552897151,393794069,123953149,622835242,943734817,882159653,111782873,510722136,862207302,837919105,271729829,206197516,90227504,695174798,680799556,393831093,516037735,539915772,284516789,899235577,208359898,419112869,459972800,787051369,61234902,821522863,266996711,20286035,526426786,114015659,905902746,178018333,84719735,692149934,138193549,1807567,95759683,285196713,156237164,816796678,491360690,872060141,183696997,354837137,324939033,70524281,64893916,61196968,217390066,309803538,327981913,829204157,222229748,153316764,785717225,7285302,335434214,224435104,395044035,869620696,983474094,561990986,7138215,724165029,537359771,442392295,214472757,388115494,999724473,116134487,925708176,746427493,66439494,388110990,695779202,787660736,190107323,811559999,745417727,443310769,275424987,133133837,820291374,958741339,246153527,86591325,939988951,617124214,898061442,790179316,739813209,230639713,557133055,69014343,36224542,362472253,656301172,233606164,107307741,672115472,137033497,438401678,937910960,718467982,866662565,853247635,819192886,385931114,456696865,343695363,925106189,556664530,842187059,289014425,979935624,943427265,108276470,37109300,996374235,723841051,713359382,636128082,700513246,9762195,679089480,972432725,59538558,60141790,197446722,475606973,207152394,949822816,667573484,554375829,805701045,52118162,573417072,38618014,379452772,734815007,279448974,165855178,837684185,303266367,42775691,170054897,152941720,376346090,80027775,196385699,666741353,279200277,598319876,565951881,223948077,829086261,404416220,765857935,32132946,773944329,323122800,11380158,700999829,843122284,284109052,500783639,986258308,935535923,125641497,843022069,438289011,231629648,520124168,131854516,889483637,547741461,321354783,590548256,408219947,374068408,833897018,905627122,322048739,980087652,964141892,249046734,355599006,84387793,582727503,239545611,676180110,74197874,568227380,944415316,395492152,496507001,384407231,903594842,93861193,863718595,245393920,390032449,220461144,237393608,498814221,415326199,870627747,348157175,452381582,275898195,245829230,395004048,238412407,756000476,799618515,294766621,653924366,772578689,217194004,13383335,323679355,504209077,924360425,135691753,86745224,426518058,469233839,510890765,747589077,282204965,929404088,636660454,388671559,780383597,410164735,561408191,338050992,738720900,839907255,670353704,971951235,994241537,388133760,413989946,323116881,580993974,25522031,619596265,318094310,194066677,510414573,723471813,92026411,364369465,998196257,286942023,417151157,565231353,709548719,85073614,113466139,843769458,654957516,826079091,226407387,915118241,808155449,103804189,212188916,488368294,348073490,586046913,833754902,130789335,159722771,537679333,347911397,941887342,886559423,462310055,218746555,317818072,162731075,585011230,212891590,89999079,627688822,99201727,533174107,236405564,941961201,526654575,232547817,733145787,960574151,212417309,41626117,442141825,106251091,471526052,290923897,843313749,30797354,4809073,565104219,16440097,701508143,295751425,679202763,868158005,564537667,948841054,881260394,766290540,11877525,626151846,599497681,604976512,16158726,932435433,563793216,166588512,220711642,182313362,932806038,948741966,514240338,56127881,483537474,920437154,457815376,33219577,831050238,451738277,486789041,28341652,548599215,256184762,688898843,766956195,603771139,781991718,632924959,900128067,155680449,860135633,491145985,757838692,130353361,911118752,446989264,604834023,405048958,521529631,83745171,197353357,756209742,130616944,989172992,636866871,241333350,633921845,54039164,702823451,304801770,704209457,392353135,456796204,920665001,54635940,475877781,574356206,887152622,497741448,172846328,996337564,496784157,992776146,774773305,245802426,424931427,681676830,556994026,167411230,470797333,758489785,750526101,786197582,597309187,504526964,8671467,23352691,259810451,781155488,558397011,862411692,761103380,877706060,762078887,868157366,949932214,58952586,375625154,316169613,766310089,873718677,63574937,723738531,766010913,255660332,668893637,958316218,422557891,988679660,454334828,267919892,200520728,885078132,275448207,148544634,140121798,341414418,832664314,233224135,333976464,698067226,855006806,840885633,343344781,493507943,909182849,373882003,132689307,889316637,394966380,87683304,639006233,636737581,381648955,434811206,341341450,517227108,332592976,621581375,147467541,375198408,265382654,881133095,55958149,55528482,240782512,195961042,508744491,670326622,349887885,699892222,76115330,716658120,931988425,203111270,957621881,850792822,690363446,727887423,788372688,551675848,7490140,378795091,207716683,777135204,214787207,390293836,539447117,472749299,495565626,122014613,377679720,61316255,971106655,442328801,134855299,59144822,11591070,458031404,679628737,881979320,948203981,109821190,133386303,162204191,886207836,428164456,582889994,369724994,959418687,756309747,874394586,409049194,744385532,278195774,166177573,841648920,965120577,444912549,709017102,239078967,912449961,295180561,335254010,776554113,124120981,530049611,26643368,32945773,166066492,123378855,454477025,420725788,525057445,310175161,493093700,382996171,122385563,226927649,831373620,156248560,462675930,262829716,5935627,888163668,713507206,8986278,118927471,773147951,306885039,734202050,709867921,797477260,696278355,749019792,633303419,42997885,303982469,442995272,893197299,909642011,576478351,645157265,984475116,980047663,738136709,193569505,953490128,496633540,966373333,570469921,528698806,40725479,772576359,846855922,755465888,128372565,927340119,671731828,211143696,948582214,60207593,478378139,964879962,832429964,67225441,433276051,611895020,309039068,297082442,73835777,329334192,542586901,265468861,887258291,191832647,643018676,859547521,505247833,61414050,894904361,305444113,746228761,364225994,448600595,17912070,446492818,88940650,438043331,600358245,198912011,824114323,380919646,111909036,980712431,143763923,66540388,91597656,873215480,187074040,215883299,874264350,39685043,815838587,356722824,66647109,986271674,114254662,736392323,195293704,931358832,643049545,442727268,322942283,622183858,611536694,141575338,650782768,146605631,107644958,153116874,75857484,183518406,434150301,963273499,604962360,864625186,940417183,291733588,813849297,592422106,127538183,535298159,767861471,253074349,79965695,740884808,1534787,473541126,922277117,323773930,375366967,269001456,505461412,633464987,994684633,235940757,83258183,380609367,581641814,407437963,955085238,529082049,464190844,600031502,922478591,542476006,934990743,604687854,724576189,907111560,328876963,157288400,579060805,997166061,836747364,973163095,848862673,77351233,991701225,864764207,636146409,674944220,108342325,727576231,119647541,20496844,694512349,109142555,610271699,22973529,663023945,682846684,83501717,674960792,875467258,318087805,818576359,256625992,559206721,287224148,175269848,132872895,318884026,207310888,640310423,280321437,943574242,142031719,90953374,360438406,41948168,476667208,424692316,662574215,27586630,680858420,165601698,916291672,773987947,144382763,1814363,226572045,981695768,268798143,469638341,414251809,564695733,261405281,455787290,414489201,999832789,232617751,861562109,49464690,975169353,150979571,332954308,804879221,912102871,527994444,14450550,763885657,276570292,760359790,976893891,368053884,651327583,32902893,550667476,245929523,661512280,804622309,387411803,614965002,163346087,965305930,99833236,287755895,513469571,289752386,185748142,112001107,203321793,78710807,83957557,581153965,197551229,933929550,288710366,761855704,331692240,473228512,31055618,184407192,454582832,661493019,966524315,571026418,191097431,426905012,591198668,23137431,186610065,775801462,483966563,955206559,72602673,31734347,784674414,400215839,219237124,320193951,98727393,224802913,996394984,205714840,811674906,590599948,790447070,434630805,832198624,894326911,568068253,282374654,322266700,816916734,329349495,712051012,808215169,979693290,922551960,70485566,292882480,578087326,200858330,986934769,410636874,691302600,47749011,444535028,116662367,187922641,828435865,526308705,149794426,442336805,92965073,932783805,608168555,111866713,903701308,521518008,976577753,934809850,27718368,67399575,918984147,804921926,405018451,266079656,831346722,804215915,885642590,439383863,601959350,717673691,818138764,124127420,864137427,665564234,455814392,114849361,46680929,712366270,721588150,794861795,3110019,871035123,103242621,390273494,962899677,966635571,477860706,274391779,904083140,521461063,835471615,84205978,243031241,552085600,275824953,909612714,583979588,536026716,401162418,543956390,368491600,536161719,532609341,23003177,310552126,644957379,612775394,445649883,101258233,414565589,870353690,364170210,739121881,102351382,646464715,26491965,551682967,387689260,251043322,494013141,600887365,392790596,811436965,927707095,825586838,121597225,762285302,159161105,368813546,830098034,840822205,801314624,442966993,360721591,222273493,475571825,187921539,281795729,379829955,66262756,464916183,807838543,272683609,228037003,292883618,847110673,901758822,343658570,212062564,332717421,750171688,869999775,910869767,114708012,182342441,439727226,87532016,938871142,17529474,641978364,950543063,219632234,366091495,968356273,167196627,954856955,44353608,276535612,447931109,732256676,322071904,289652247,709260606,352775662,417870200,277859878,160973028,72984242,915756583,313687691,565942062,698050295,788917654,886894,305755423,773010406,711843854,213564740,152945457,791411500,144888169,717223627,996221599,914615146,394247068,588334525,727514232,335638671,718762664,687437263,505434324,589826817,512126774,294388123,275361302,177738350,244448070,974029754,497233585,365655350,325557834,392427350,617532977,876153834,7693362,804195076,812803882,381207856,780815611,218630886,389205300,992378205,586061580,783767908,800894364,280524780,764660560,914608629,642755538,437623905,469644366,382121265,251731731,780833262,594798329,726599515,53598904,479655090,832345153,322299657,295458538,894164289,586536163,732464109,426276702,803795343,318870512,60576151,942717610,59216417,745474258,184788379,626289032,453321622,279130706,458533018,114337202,286385260,703655774,915502170,399081800,402312130,77020477,682075194,278319045,156383047,533506942,190579167,87695098,972341161,680241870,143737869,912235734,891501675,449034161,7785703,33434248,366256842,761113035,935162892,684258246,988025223,465073303,430923676,4361860,982098602,348349652,878149152,860932969,698064495,929972070,319991446,412639903,739199620,360259009,650628168,472558559,15217078,741855792,24034456,638612244,361964367,724091572,264035740,100952375,878034009,775946372,231748957,270775771,344907948,638427792,402065596,263055727,185652292,941174875,945510249,798762608,520910427,980017213,154892626,177602516,796814040,394177847,678481320,991974266,650712705,187801337,820952483,986711563,804125675,944704410,565772990,45216334,466192275,254724170,745304066,317075074,132045017,632896197,761020612,257893050,782173625,819605033,229854253,371860097,847093980,634603542,665427130,452772827,637865551,454164540,199418230,607524158,778674829,258401320,117647831,847516299,206297633,527316,518886740,428318114,496762990,654243480,547767790,752157424,596640024,61739824,402472639,434888543,803044433,511225578,648403797,736299009,164551166,781751985,524519078,538199930,908383891,417018186,82183898,439950352,465528022,565614119,947377413,868395879,352417487,708709166,268829646,543953486,737735438,616917266,777550458,7891068,410788506,245518316,777171815,671771661,54396752,827342737,359892730,278529136,139657064,745069332,824875969,903579425,991015663,816145484,667095761,788492800,132846254,969788393,366213225,565773039,490382150,643977148,452671389,957160043,67914762,697061532,439180079,1093016,704337507,230840616,444667249,655071365,69148956,826279507,206710919,83432490,656870957,49202723,489365879,81269722,141516809,740317230,812932598,558015072,634628979,639214261,470994722,915826969,798821458,648633715,918431034,954522104,516241238,313086531,478628204,51839316,492538785,529683302,470147891,391116515,463380486,765265856,723238424,198656608,621218197,656297582,462592483,676587632,107108345,774011924,112314398,8012842,896820212,796336824,855674853,86125417,494770094,450197020,258910753,356135520,35578131,14376996,637432305,702312875,215210383,706237293,529675477,206472324,916200417,977602457,774149110,636244885,20572841,292492553,423421707,921105438,427873793,219452344,94927427,570885189,147634874,592455156,808197973,506350095,787396941,674985129,452826257,75036949,926608674,935953347,608385588,975175535,244862213,867668438,822001274,774022828,796360442,716273198,748077008,611096698,454204652,837179445,907651202,673639363,116631291,386829604,254279125,570870542,4224398,59835991,387085221,543728229,746335467,452560185,299053886,656605830,912106432,926744567,898991241,601221363,459112304,681432953,612703462,777077656,3025329,292123731,629528756,257889372,448214476,789925417,769996829,536958327,769838285,42283370,883636488,739985453,693655513,489583078,268171979,457615698,736130539,404295568,55209742,786631540,934902981,750531383,873249701,371530919,438258864,897337729,131491615,718595987,549615318,588289048,593107851,38826345,881363435,477060384,321332439,570258069,694353561,286165434,438492801,709076661,622509237,564633377,991702621,253154502,381965881,679356886,343598834,19719083,89210198,161050193,111056881,412249174,650289921,555955879,329562104,951625977,670371235,570657081,415729291,696582178,345276912,764414712,412828278,983619025,45799396,500024509,751880393,664882192,855774950,980574954,47403979,68234020,657824458,131306824,177355960,483079993,264515771,513053474,81935744,247690484,857395693,692282775,132259121,275257634,66022173,181068379,733444945,762166399,934262831,379098734,658659318,566587875,76819664,922526411,166945768,713959006,640673010,787436587,425689505,41350709,40809980,143007079,795909367,159291253,387572907,54407739,551761083,766783761,576930027,180043345,387761643,713366539,772160373,77077576,519727922,427492805,528034230,21279411,145127917,628410377,546309572,546790147,744428253,903104601,169458864,236141611,847513525,729165146,394754308,685673703,964666006,300289735,907730804,944535392,592767041,503787752,361616056,514488249,440700483,936304405,901875157,860973341,338594326,397489613,457092813,125861098,53762492,361799567,36611708,926598867,249341000,644707234,165591954,78111101,494716750,248484253,32635973,229064045,362544105,392447507,410694230,636076547,848352306,776951753,4423650,550349799,572219665,423011144,882503798,598551932,627299490,609869987,631643391,799939393,481998230,940786620,643040240,901440264,576071348,956596515,855187569,175344891,816746713,410175782,105388097,849433004,978728952,419341271,988554511,923608802,62972803,78981882,224793511,41173183,132715077,545946646,992302772,312111314,96647931,879285335,470866068,472227839,634208006,364216086,845969337,85774940,612455959,651322367,82398401,318825898,689819754,202712002,812855671,531340927,500283006,524288160,619881087,245922835,860893569,440234490,700456595,778126889,227217215,289054995,631683847,461627534,834095483,191088531,900098811,64374128,79017279,567492717,667333874,75927726,882703130,653608433,203245054,248569914,860565551,449226165,402964569,506085069,34662553,325988739,8074480,708216356,910954960,371900417,918607079,276546114,936244195,596763749,384511805,992951978,412963820,723001015,780583209,383408740,815079569,951280831,631656358,74302029,970120280,244187901,269198107,570090435,814022594,955772265,898839077,412439783,659272495,891863297,810105771,231919786,792089459,524138679,784219523,666130284,303310442,878017574,552283481,537304401,395718219,648110750,474172996,216558093,551212054,906989464,681696048,496583395,13014889,460577570,517703201,21793957,61403556,722885363,642995281,889700493,181210985,634085056,18171155,679004411,115795981,597542580,617667594,209993656,672003746,393606560,609515466,204529604,795260339,440162325,725269933,29206980,818786002,804852299,347150475,26875881,668410949,842328308,265026531,765158372,101705145,716111015,468176773,727440806,220401855,593237273,229490791,448967071,268212830,953499890,430900749,569085284,198872094,567921270,828051365,88189574,241850884,352219989,526565988,492105785,289925728,909340542,450463698,687450878,81473198,973553328,485448871,753662175,476071443,73550588,577654007,163321700,85315822,745429451,765206800,939827772,875963481,743263350,293817491,630182081,496827089,817321585,145171851,697521600,239509419,155231912,280580260,697567793,136609723,120695596,432981589,750490258,334026853,484256240,855800664,849656113,680835466,530102635,334336154,519976095,487584884,500414262,773525893,263516442,219474183,907111604,332537952,433959397,525813637,645865700,966845350,889170495,330797924,835371408,404626641,334938854,301780476,314704877,5927504,828120981,625871976,612724185,465268710,139857856,423949188,250263767,269162447,133973142,436353933,945531027,420548688,481668853,233084409,419844797,324686364,823700817,28684202,826674160,237148702,327044276,413174733,514506882,22544627,293574881,199812281,244627027,108618091,508367116,533877532,698929438,872658180,309226868,858572015,455833626,311822059,778007344,615373837,657285052,422671164,102165814,672993253,296552528,984561714,396570635,259412694,262958464,557750676,743756848,385070208,357139391,812415756,776235466,524368647,276404479,537683230,729322750,102160572,586819620,411324656,884262427,332909809,600814843,948990041,399818652,542112665,187197822,597252619,600125853,637647506,544526832,830127995,617658269,786681117,565577862,396826486,153470554,751416426,508343683,666794332,608513467,218849866,496278583,793184317,644492316,448446237,64541586,280767354,393587597,900358101,576199471,392539489,168128812,802159795,545613990,822456303,431787134,415304249,792678869,65677500,274923574,730533137,139541209,94516175,762927462,36897881,799724385,417610070,779674174,638302105,939603468,506277941,546412843,225684,42997503,369092994,463914790,378041206,986977370,435220144,937748452,147381396,527275705,963863390,838770262,809699519,146215117,296210905,916398315,381406954,385221087,459317093,170230458,986238765,699049128,292431221,141530404,117797892,455525345,256555399,666467778,939499067,420691638,115690183,857397295,369201016,280257691,707679067,694182194,815489247,630024650,62491526,610661671,468625537,332972997,33361760,720944887,685630975,499966768,165062098,9563415,114981388,596289114,564174217,414592399,732164890,330546863,792598267,449352001,480865981,596376355,639951600,209817480,283395779,822266252,54748003,45690187,122109637,505823800,326151015,358400737,73837174,13972919,766876242,230631016,867984102,437242560,221817281,775566548,221746374,392979889,455297600,23626541,271776741,34500403,282087630,360462656,706737466,945863947,841967608,564662504,516315910,335102676,252632236,988450464,919398147,85119231,606268843,100268214,620747724,178919376,726707942,496613764,745024029,261992530,253570057,858132387,472472174,593728303,327914959,216421901,446648858,534878636,665058392,880813853,299486483,189203199,858295416,528657051,629022081,163486619,622365914,350852143,751009730,249753455,748433547,218120833,507180868,911115211,59841376,238744901,249649260,780568740,707527508,781476183,110377533,748826752,716492568,56528514,902289048,861299606,883470205,488340975,151569517,265660145,679638041,231951854,995181716,874497547,191189755,300166038,552245348,751360289,457106583,848878418,798734896,210231026,932806680,275253516,132707267,650354000,545375181,111842069,514933207,506736283,763012410,166500160,467255815,835728024,886337719,7423584,401404087,348995925,906530252,27329724,195431881,602829403,708200851,756557429,836582872,463807339,848898327,708674549,344406822,726560471,201707459,424898550,243058951,347398986,990640001,43278402,304626730,125029228,761461403,296500759,556557819,234854864,738380400,615538704,55973811,909351836,108913710,129457895,69389340,239606469,470665490,89105499,589333495,585279497,553119914,577779882,412885735,337363130,344684352,500356824,761192668,227675827,548908931,339834126,191689423,23255804,25899994,305323570,80355921,346507605,125949268,483219314,533612708,538098365,374500291,55074958,504839840,104891452,194243473,358666429,661037675,300094280,49545714,54786773,32279794,543919390,818805324,311068533,886108551,66793683,927911011,198981426,643826860,556078974,540408232,715531942,152341837,936043466,816991944,892278862,435558112,352193230,155808563,223923779,183466745,46962780,378469678,563368937,981012759,758061531,316354699,876198285,363050383,410625862,749888536,63226210,196556368,90784624,481776393,707634356,733861093,378216077,747026400,360437925,370998997,937363520,512403871,764800668,31295508,415414821,499087662,667897864,837728252,898924818,492976663,41623519,699884705,946894626,378252855,32850173,427961728,801113015,29142557,875833946,916800261,826524401,507335150,30272771,250348252,231974665,50347644,43200134,909235590,959656527,734310847,395571189,251705795,45163187,666680456,635392353,190943831,659985807,597256047,89384145,526899415,961156890,853963877,437021427,843492168,906872321,684812699,84793550,876585623,309615500,181578226,202684043,608297473,977007229,766896331,280330534,863059731,38329256,465286939,872683566,213855020,256429573,640624282,820067827,847017955,276034649,7201311,500648246,438603590,258331170,372678923,25133011,903168859,597308779,158230717,865964699,981453012,286857750,443247972,11790168,188720686,547172030,376363023,609683144,428614632,915373570,509018488,191937709,123045756,861212877,16877136,97699742,502840819,879212773,382957991,289983146,719564206,46779625,891853354,237707400,801278201,92257839,250923060,297390723,279796271,247244642,371503988,872486430,964203989,409092985,226029674,487283298,914850196,96008465,319668324,4695367,775160292,791521060,955942438,692409700,485512970,657696622,661281474,401892499,842317887,216456950,792752416,79451270,922131916,294839334,234141295,852951179,926568728,579911190,28620941,182976160,158976315,866936130,848260973,341740042,788480180,332009487,738572978,651410322,442842075,670243602,447884846,390114538,21452290,232503372,351034677,353038149,932544268,569157823,397415061,609426261,138432648,202767729,661814990,956335343,126843779,384440535,505571778,980226854,205448200,866311079,785063764,487443575,775721175,658150361,958999301,581709113,508925001,867836012,250251595,303403046,558275857,540537670,519339405,888782612,849827258,374396963,44165798,591719875,402343329,24350016,190836097,380364073,498561891,274091866,800216719,987961989,497901878,43461330,700290446,440892929,546356396,651446615,160899048,829343559,116293616,309843921,102442901,439391982,237783462,503943874,898365646,125014035,606192718,434723858,375290967,125876818,507276353,5830030,114251510,447579051,475349555,277690344,913194321,781810767,459054424,327542948,780086815,205600525,810446607,173832714,558593781,527565107,606743237,323302728,979134514,499936823,663322998,974851249,107490351,439936812,586355137,329663100,401748901,524960854,245283367,504492821,162422113,331099537,689126379,937382179,102392915,177825665,763423223,409488099,315306249,906615556,282474948,677353915,415943106,557791799,305745405,421455224,454508527,940299741,183998628,727705724,925110103,894307173,363647427,713012420,22532035,660284583,11828639,530583137,955063017,781430665,944008165,276296892,458495592,888227965,931519294,696994189,413990725,383339020,768207525,352984195,537296036,383944913,858381101,699690328,905103450,439535625,658405217,720202498,601398566,704596860,369863420,663730969,278214691,55641729,698693068,486794840,130481722,634621766,379166910,332971774,159388572,251167744,561464420,991181935,178262956,825929209,462210031,864755480,712185089,153997407,786524845,35889050,259124198,119710533,904017084,100425467,155269054,867768801,579753659,842290148,186742776,418921551,211185016,213742917,155781881,501537961,222663062,148661954,890698166,356966631,614378593,471968853,843996490,572924322,24613238,124081443,142313821,979119853,688899150,564091061,545766764,213765954,612614550,867898770,992944106,373847244,459726042,907544974,149815555,19133910,691260535,244327437,170322599,166687243,884283747,882934687,428267603,524775519,190312233,19892236,976144914,24096898,606679946,343277347,522368157,181783325,545237035,937638705,338068696,42304124,900164247,180492934,63039260,907008506,362179153,177662829,245446151,344263710,918698183,795666921,789205924,486910270,501544911,558021472,646484670,357458234,255909001,170520381,556054427,471524195,17214972,69367764,848063147,327541364,595392862,875714342,903113896,382921395,716097696,711586273,267967551,452344407,880009039,28783344,779242954,77060562,481086139,360343136,108177268,8598763,40848594,809123497,797113363,13979441,483339819,896058347,598988857,919954268,296635520,107557249,119505943,812365724,835542344,678522088,2743322,626232930,936205306,246546919,553078520,334172963,545105537,484990099,473636279,996426651,606617284,113556733,498837594,826832860,953247659,657337620,741533252,739149436,811481603,495831105,805543385,246516753,387285761,792205130,188466744,925734281,97103027,990239510,68588072,926506843,293751142,20877978,248092379,818957877,752459570,894149980,697924344,518227142,182171690,123134231,897644960,780350760,911436156,541502543,503251539,331489145,746339985,302925112,384782831,929827443,710478850,174099936,628776506,754185193,644809381,344637037,365139008,918250829,890138354,347251138,659973668,906714914,87830316,806369729,579738007,828415710,905860092,337866453,949482296,946507105,124298559,357098308,851734768,562645173,527817579,957662326,710678666,35029286,141192566,379756881,315311457,734890957,620019330,420995922,363281371,553313209,582770718,123173546,776433211,248627708,935908452,889157617,767195579,212855103,982150151,424306659,148567917,706111525,613721683,831533695,811482223,365507720,737834911,840967903,588731867,864415759,720731220,189144708,258581450,726794634,845556913,946594141,225275837,145432171,302436733,555236481,21427587,587896816,183172551,348751876,980253513,640104576,445012454,617926677,769443484,207457127,459391019,587884413,987216028,116096532,352920058,927875340,763865983,228297117,196880980,503959725,976331708,936634556,234997151,658918949,241118641,752349768,321775034,475928318,625386233,626447830,270016662,878030359,696947796,38522765,300421187,838257225,431346489,348004130,797291521,420351692,912378372,531937948,2904073,548202614,198769456,844684035,633245563,160486554,165546420,786075947,173909195,896905728,695171859,657216987,281645645,754702588,472281440,3997669,867303133,838833991,772972692,212257253,557166224,40567206,99879901,849909818,902676048,181480704,956024786,773838228,935013661,426119407,825423274,892951399,357137028,64037843,570189418,295046251,425017233,51247859,973959001,946244520,614061128,781455514,972614609,696146631,521032686,133860682,959875993,82183382,139161703,279322483,768631545,710474713,651300672,542071466,951676897,495986378,880285913,773083424,308423475,277126591,449383133,7726186,169978299,422293608,536207064,550260657,878274543,498235037,965978073,225097053,759164300,719657282,513146806,682914779,260201109,694984536,205975863,12383496,518877660,748121550,408196007,108709300,963427875,734031080,849023573,201429092,609315666,621806624,132174241,595967507,258768390,822288896,935995708,66030739,970974589,728425857,88193748,957615321,720758678,594586857,482803770,574061466,221581926,902122152,129251632,172464764,111645284,649544137,376011398,981373832,99510149,322062494,549042905,32239745,632782304,475954,727380918,5146060,697172694,52704761,907286709,10105196,443638487,180435053,775585849,322179685,531607693,466890608,853833121,579833264,642627175,785604292,922808630,197425785,218776142,641056039,452543051,397383922,903166312,677463527,354489745,761351967,985080563,219778406,581106113,272432793,291405435,645643057,155139137,576605355,548037512,673265462,980259800,206983569,9277482,349144951,428308395,916379262,214184430,96256386,200468746,794862337,214479529,297767260,395999407,427501082,819584564,244769277,351072414,687600704,743294089,912675110,594716870,66584939,966250320,932427325,547766184,388102572,835772940,7974684,705962708,664799181,352765685,49475840,847713140,830434093,536887699,603000036,135407433,618920050,585927386,817330490,891185141,221711434,253875591,911074386,160743379,153432301,178149838,862638119,636596557,756630288,200391227,574466044,596736109,598616143,14879197,335762070,996826887,908271429,388621970,487538025,163104572,996108040,536123935,584453867,882283697,117560809,259541975,182772280,819948279,89264416,449036357,676988152,598860070,720906951,556689277,450807449,507426058,858758621,140926833,281547304,521255171,138533966,214258572,530390608,467581644,45221833,669207039,434305708,748714357,728770708,405203926,960537961,717320121,339643766,14908435,485544927,550818862,506939994,696859470,925359216,988355999,135588002,538287948,607755575,24062955,357866392,677641500,839651492,469980255,249399681,337211831,54969732,340609260,963221663,880478117,732781577,280371762,418468848,744629258,125380202,356713790,79693156,405213903,197592840,174494699,324213536,235448412,146214242,790579918,910727713,471421598,529270537,656538006,368984664,834044197,412394767,496941147,334487799,672077241,592956255,896296175,894401845,649841356,180212586,858042869,642482850,441725102,942682254,732279346,582580336,273903172,372307407,332234231,66333947,526117717,749664151,459857426,248160828,225717648,790062680,77236154,419653995,821166783,397544390,280128042,943600161,264702671,114352431,11599334,622532225,802214998,922346,172559713,683685941,250557921,607595193,725846330,341571312,493773439,1994619,164808640,437532097,668472869,434993375,161095196,788893648,706139106,750295655,897268456,615022653,818800405,434790152,652085260,107182067,534960655,30941999,399581804,484659829,400491966,240865672,610631292,747690168,598709032,650793969,214403426,169620570,290760950,393871644,549403283,407333390,747690225,163215833,664477184,350809985,74078985,689727500,701103044,742303141,700667100,772322457,577985468,33707910,123352122,592484673,995333186,708371729,766944846,574970692,254781940,541708397,192190717,732566421,970594654,190304906,343122170,184017886,789780971,235670826,227529193,470480840,37648794,689387113,202966054,574566232,804770098,759653013,798214662,327599851,109494921,245053572,312138325,747072711,884563601,679956528,747217584,633992640,736780402,373895678,977582016,768862443,231121174,218786911,172846506,534857325,640442804,50286004,223507040,63358199,47640394,777395478,151842594,186438425,967784508,929436148,40690597,490496427,690053428,598271283,362014543,416237935,5141164,940325817,390137499,826883440,956963276,794776354,528230307,985452332,448218148,45701621,859444276,41293330,288343550,766589685,975593080,41427159,733961567,178011131,911222165,973610163,676799941,44550913,453886101,691129800,832556347,967085573,612817598,988174766,426871786,905658570,481070334,470479757,635208009,877677907,529168890,100216632,167416604,728490267,48554472,933249436,62680778,75974806,420704481,960541669,136180257,840809100,805988582,543840577,893217221,296243460,10161384,870645084,78310377,891549330,329503648,636745435,116889865,123588229,758874443,937101217,409878830,996019463,199209522,191553278,283010534,861441024,407528222,209295046,524861539,63199021,2279819,218141595,461324892,996046776,827022941,958321836,391046866,505055038,326486330,870009919,181847635,232365710,459173621,586236628,879717612,249203751,153392615,523023101,857306172,925699895,118956408,508393091,432790089,237500699,356281584,742554552,946310947,978542671,535522123,625998780,103429283,610007369,639431643,134016987,66119474,61112638,506563181,570471983,895132727,498949435,459971124,249881230,138978320,423112666,315921994,88997362,585681619,880712045,138221813,571206056,432845137,830911181,73220146,439876119,227119702,564744171,984943360,514625649,993409496,34456918,335484318,175085375,12009487,224819623,458700869,233059406,737913424,241742672,120421402,829212830,160515605,141747960,872283025,206923978,948413863,882340115,884403857,438714362,138734905,924791619,30474198,392457538,971554813,208861957,463782274,258734454,522928168,554105121,834831562,707465442,147385827,469401887,407934237,956557509,586732404,286273033,9439438,427336457,405453540,734578789,75777251,743536553,312952551,807201019,719229141,18704873,955396200,925274735,256535340,75976725,293996987,96464497,662532954,629244412,228373197,2251376,188220214,124752392,927956699,556292031,945164321,612397678,936173797,565616637,55344386,831949901,188703119,566541683,437174895,513794248,88308412,74704734,222696142,810565375,808023794,667631724,671823562,15585503,394588763,12632164,225788257,985416553,789039465,269777200,388455753,241991996,161298600,542797998,29055703,630250597,389807074,560417903,789087885,876092352,707403584,875354069,63512764,23798842,535478904,839354711,156817066,816591472,847966224,405485816,992502048,303670794,792266559,606611261,357945754,325927609,298144288,364755983,16354151,182077745,483541796,505830070,90800549,776837831,438657269,510240377,81878039,909318643,882767291,744582804,210307312,287515798,653485572,731724493,301225037,143181092,847897170,401389487,852645156,326111491,856111092,366963114,663142914,891204192,218974434,578682162,815578315,374001676,144821451,472824044,384103551,987417480,640394281,178846731,419824749,127060054,244545798,602385471,547927694,954786848,953538526,934731307,238895497,42668070,997905616,357284621,816901224,235553760,637635019,104691758,279223423,530640007,538909175,93179652,137708189,565686463,109059019,505041412,679026520,807935414,953371576,991631087,752290960,849584241,179728441,52288403,471210852,493818908,561381371,79231197,823631973,677242455,235216897,56303160,74994289,289729481,480884679,242776241,597217227,57046665,723392081,87995894,568402591,633085087,553242884,76967736,973473687,977269943,939060479,236346759,307574471,548827408,238511270,607830769,579318842,90554404,589652761,536117902,358169860,839391444,243362868,762139888,548925830,930639844,928600632,167161105,856187412,397456574,855502146,54378365,489799824,21921949,971765922,168564168,474979166,499886006,993764123,991552839,395273030,323375742,609140840,444139243,851140661,831903750,549711905,439852353,677306112,28062859,233786291,90022157,148797798,151033868,338426910,118778440,64185437,311852612,382264739,199334700,874797393,837449793,137045101,741141912,764398166,645854725,52899497,518483978,899224637,937631544,278301410,686325646,983625782,75834074,656845285,325485715,15231346,208228923,748981614,94611302,80092524,461452957,309936111,179154731,678894565,361674154,77414080,955280064,279946708,818061092,151410450,979660792,28747351,232710251,234525915,82412799,420696669,216650111,201390630,195452140,402148651,360033369,339941384,110368570,558865647,854774039,458397599,47689154,879538328,147187060,148597962,201965620,178378363,901138785,556536551,362461088,97279837,283678855,638634652,305056112,66673850,375058007,213504874,590865712,289373194,348600478,468046815,920164515,550581595,368021395,761821403,704402017,222699276,183071783,984627181,625478677,312646600,802477541,316721457,594940898,993356568,564822351,881152123,425399099,909206342,900007277,854954341,123066083,613351794,721946950,1614907,56470973,830938456,857834771,388971484,590500533,33820835,887986442,679675220,116734194,968297751,824830031,781459631,863211121,965965448,213237771,542742863,663779145,303746323,164792166,601554881,492588745,887839589,284563794,127449792,541569747,341386844,712719355,551845840,330865970,965243966,510022626,92277597,519100917,556995751,131196484,799101001,604386500,32607587,955857209,737124038,298748379,771802076,478723150,521737127,103447350,45624085,954944717,497867921,878218662,655076141,650093540,355113226,766430760,976935339,312914296,134686624,309919478,250460497,595990014,580010718,165452616,635106454,163266029,386308218,297213713,684144629,413032858,35015691,796279677,149719926,50248479,492866972,518841732,936558986,497326626,746329640,923857349,937104309,925339167,204160254,86334603,749061765,943666102,433414758,972347360,389897807,900779609,157513719,786321316,78351510,186214580,672925056,642392393,229968294,630448905,688664936,979724689,660936740,249588028,451154857,327364503,747544041,457640616,708619755,346129863,423635682,923567495,209309993,629377211,723222266,810213457,332713404,821821352,319824599,516480654,936720964,65729115,919991597,541260414,343197303,429371507,345713013,250448528,14189279,979037470,226076680,131347918,603209236,515102331,249516437,83202974,933271132,564260202,506823408,625139590,671506930,146427613,162715498,506956471,308059018,808066128,700875276,164086265,240193129,131309642,230153350,874207135,981856827,226658793,933991643,384576778,381616436,68612374,929392133,727019245,813617889,181342357,867408156,17402533,9591570,391533585,973239968,372747648,387285947,174723808,872219108,573589946,488290672,718763643,840682925,346788784,191104474,356592058,186900455,435608532,652980281,844359774,499313230,923372729,848981597,360604722,931579095,530077117,344789266,128030394,538059672,201058822,354269657,795170300,46988854,833467330,622491787,774412964,488881226,685721684,592777622,732934099,740487815,541622835,759161960,365496649,900743943,20767609,754448033,453983632,547605318,718800767,262507072,276126485,58207078,635929515,519985672,291447907,599357574,753342337,159225410,73403929,97714166,84004622,368013065,873199974,44183454,276257900,537407976,790960789,151008974,268728124,6796065,822851275,340714887,332501227,105839661,932850091,2225462,118072807,786577643,375226513,999436956,169015842,554925874,517932133,876967023,257269480,325045611,64671623,992053957,77192470,506165744,826510809,551119331,490457682,967009652,446038635,354493285,8445503,185116199,424131892,928587129,158402364,831486768,902256724,366359298,780523608,515703628,836341583,875254471,936555612,916442121,401718199,534970233,259888876,580589855,590956014,369043898,97512651,702012316,787426333,87064035,259518787,853564148,140169442,933363159,775947294,723436712,115433032,249822938,947282828,250229432,192809473,675197211,412681507,731035895,438220093,1299443,522730924,235874069,654094422,638636915,491318617,716816090,915140727,586459939,315658276,956173662,447340291,268348200,950086773,525720528,411285115,244706014,149562713,987062280,972317332,705359684,408633249,470426935,812363308,53513791,524219111,735838143,194592478,314542104,436731456,734218937,239187061,114150649,123796881,104961538,428491002,723209136,157612994,798566442,114038679,303028738,288546280,14896023,914307270,421370068,64544821,972582169,648904716,319493793,738954079,612142999,871028833,625017976,506871367,736798862,823546375,980718244,224031002,245903696,771864904,179992740,200983897,168104064,438734809,357181240,388298543,803587121,366801074,920302786,474253808,384525192,660798387,80236646,75350931,206860908,494671008,983708477,432080890,938625968,531851862,882405039,936151401,27017252,215151461,739241405,155645928,153854661,536924100,19296916,20517633,858377345,286953545,377543790,720002733,449355212,929385922,248261024,364250284,931107403,447658613,729185209,925075654,645525108,718254056,485692488,776276476,606231095,439787477,850171576,42313496,165109681,33889129,611545233,714906586,975967508,65912905,598225615,161151426,78374580,322003433,169450095,11266540,339670728,121862230,218639402,266315327,910959403,51333918,712163529,258794097,887427871,328571876,721848299,22525706,920614624,129695699,447635955,158638122,550656073,56174381,933017812,1455855,143217309,725917452,892851494,427122829,66135344,982572134,146650732,450252915,627993606,919838189,549582479,427262842,857357072,855573109,892536218,336435013,933508302,756956001,813903024,239705144,406983873,393046170,39756835,161411330,551427950,451332493,528831502,2300168,317718575,374984575,236680049,436422393,168590014,810197305,846734445,118661735,134041372,344772948,121460070,73649065,80581720,482553392,528202712,738142731,739598252,90693690,838904109,643042677,836476324,341173829,262415735,453303577,886871059,753156140,270879570,791626521,526944027,822684191,650282197,61177496,612803681,415361080,681932251,625237658,738503519,430479888,81061638,86354775,305710426,287898419,76861785,827335455,64025053,786111349,61932477,191372161,708891423,457484777,160332219,513613254,506229347,369519698,489134484,213850746,806359717,492000889,914010637,9567627,543143922,525877243,301345315,794555753,235695934,27351800,498339247,545727518,663460590,671033785,14313321,220803145,924804508,170765935,328347698,422057464,421206954,910321426,603437112,77703273,628939494,999775690,909210824,739476996,805286765,567211764,599987815,250793383,843277832,913534903,352990966,821846600,736155261,152540269,642012003,947945796,128971873,82126173,635985788,175454933,702325326,696017189,369266773,58274128,589091440,650144482,183871569,578602362,936387616,120609948,348055661,66760305,728389869,32579773,553826853,917071766,475842075,463263018,85375969,673184088,124363371,842320319,21954077,897249950,77929946,811506583,460540329,503432924,556496230,174696610,877220919,624338502,741574657,72209927,212904338,20050059,431766006,244746640,118842916,859312022,35319922,759179399,409276170,794989185,81618193,83362611,976472520,890003444,957277438,267622178,668624864,977777814,98424722,975991716,198139011,272419893,424963616,404758665,35914173,492677297,282978751,101119169,83412184,954459679,273989444,77063583,962018903,180021932,574871343,136860883,963074951,769669373,615905925,977346629,265827251,931022358,160162034,407507737,867056647,851732056,400680143,388023040,835135807,796126934,255605978,1660846,711364005,388335915,773306241,74545850,849583848,902917633,817121187,91496444,573835785,539240646,924547397,292096976,421992516,200183044,77201579,404857073,258415258,183536097,378242635,399160116,918143152,956711964,333432485,442309143,629679988,930346753,427853136,457735177,697713128,658254593,316472137,436230680,658417023,860022276,690086330,276508447,173405422,520728774,985785315,926017311,754635885,980677511,703047392,121169632,65779674,98826736,93368467,885556704,752957167,973110172,219918650,354106478,329107546,496209367,360930654,785588446,937729323,964595155,430895026,871161639,513018267,620914649,352309748,26834511,77090502,914793038,929704669,111651143,387238338,542366151,90491071,167632219,674170315,848527643,968918982,388398354,678124690,440864721,799480543,951713715,470521203,613360481,997491797,15919614,158328032,750798785,412890396,327117530,949301928,432587178,387399183,426743655,757620192,891858449,177593377,210701993,803634174,954625979,489147436,984366598,27237179,616070344,272001179,38788503,82875118,697456363,52695656,988504358,420135592,447702830,483733739,935223874,913607512,377809160,872222311,449852874,130878518,552022179,632758788,625199318,665840055,635448203,800183013,561332091,22093161,766014672,187139214,132340889,407830840,509332010,939687413,160780133,392097084,102594301,392028281,627197165,573505524,438369872,513357251,238522528,635055588,266973249,201081694,399723218,297754961,464243801,115032340,877133348,312042471,334942955,598278786,236196272,937554985,98867044,351959561,962811729,543102763,579894639,868823259,769288704,190791414,539633889,517852007,962297053,133742956,56716334,478914107,941045890,56494253,204965552,618499946,9753811,435281555,777506798,263997819,981392378,255907227,510747790,878421435,519850142,401220730,956429893,619932320,717196086,585717282,183726207,657196934,201614840,456041452,632920166,473293420,831267110,348537694,656623710,617066125,704875443,111354529,969658245,572880405,594422054,638523070,117258404,116737896,375860759,547744627,646977602,607314166,294917709,456438791,581897379,310556775,903731795,953947248,262151622,350055065,850703057,463327974,884052516,676540548,346616558,461845655,292490984,623896661,813892740,572711631,549569830,897323813,834071539,378705355,295994016,746097732,213062767,675241259,10620023,904133478,753643195,611859914,784180728,662131080,280682104,281888645,344016080,236747904,141547581,70650473,296222485,742901880,487503434,700557381,395399303,140635401,784811398,826280881,934562935,199827264,299189032,397244016,179301656,319660654,52415336,100896644,504077933,115502502,682919782,548377847,20825942,632402932,672035575,658972112,197610108,247652724,661660274,236995906,759891375,638038345,703458672,223259536,716621023,898379706,50278929,249545765,564143590,621067617,437313742,954771477,893746920,88889814,601318813,321525348,565766102,595591302,749493120,639138184,11664739,476562253,331575081,923894403,558812038,441132467,775759616,892642659,508086398,199975166,230793759,369239599,702626960,165558732,724775449,330350826,83535302,369778529,990448844,899451693,190902910,942413328,895653515,771970038,269473747,243384291,278057968,943244080,655115227,678815515,279985845,200854823,131098517,278824384,722502102,228111525,848646346,426605403,768824612,871903529,62289564,762165727,914943309,204088658,55538664,17137814,206529388,400316115,279717402,472431285,785068846,34192951,444958501,857850597,721561631,252769720,443425570,492224218,223622315,754802576,378568958,368089325,167076408,351629824,621777175,442577910,647069213,390789550,758414960,774220609,316490856,432231289,799503263,267859903,480444384,781057082,747216944,591502486,132577290,413868689,892825,806235223,816656782,736134566,264360889,988196198,845324867,807169022,597072731,147282123,50873762,142250463,651594901,55306034,837735497,786898925,759629479,839256302,738913485,427251647,899245725,948199003,437153371,600057637,772968913,639612148,192252241,686559077,588088531,623137512,70511678,566364352,697114348,598937133,36036611,218683946,786460920,874022242,951768559,286997634,971028620,820082680,203231489,24895502,150649958,104124154,55424217,229783831,296953426,170878075,883232831,133758452,89496051,541830193,331681803,452363629,99951716,107625570,311840278,607482118,628327761,300475412,887292082,489117914,229147886,664465544,422671938,112521216,376459612,775437349,680149068,224437018,527050981,201640537,717140281,365758622,332757509,642983451,252120726,918856571,41286249,196667815,280456568,937730772,881542078,159552582,642123071,354158213,120986022,76971174,636882909,999631101,690532393,243053167,597107706,951257025,442075807,758045533,918359136,384823599,495355987,577009002,401754048,275345603,649387936,461784419,392802505,934401895,559292081,492494275,595537030,360926844,673476995,599680584,94136601,647504921,807956795,700261049,657274109,190689489,4430251,913643621,781061071,802062567,179324641,725041470,598708835,191941292,202167403,201414904,184154198,732947936,762666947,972211519,575951977,23304892,360281246,94615153,853463643,98107762,81717576,382791510,361814798,110285133,557162100,14749739,492641163,776717776,256670865,808699105,748229919,527264049,939760139,729647240,317013599,215986763,830435634,223396573,224456587,615938345,98749033,872869819,115833446,834225202,949145316,415342997,676226134,368768832,522189885,353415922,293060840,950809283,61214491,176196585,831509771,110295024,89590617,305700450,331456615,172341970,118461593,391749209,558077568,245928712,229181064,943022351,450881486,964130062,967233849,489251308,572648405,555197975,920178034,930681838,123107581,268358889,62357993,75447502,613452334,7789527,723059507,534734586,814281767,792773748,71626146,224530020,880562720,155348470,724599253,916081055,589871142,699209021,471772671,460694535,672606519,361461720,861128980,361943098,335380192,436952781,36317709,876674894,836666403,449897794,274131368,996943147,948307743,611019285,643421641,61459214,555669332,521046596,25746295,615891371,986577674,613000189,958892583,892515569,922753454,224418864,704309220,680742773,641952273,285130009,868319401,137665786,677845083,8457024,964583677,762824532,975203794,184012831,597636608,85785384,735505376,233190880,5839378,838129429,477950590,381473948,559033,234593520,576034390,46149290,272211202,791370544,659260984,825167986,784122326,648187855,566106007,142674188,796455567,249533639,241937152,388521562,558346660,519039044,777947231,362103064,920574858,606241004,983886973,210813154,815800294,205931407,658378073,389413778,705658278,205430669,191372789,487705491,628651080,108385659,412820498,639887624,449038274,675641871,417282152,577840478,585356406,164346803,922519294,352977060,18638223,982143718,118794971,484134079,91583371,623002840,3482795,108296032,742779108,481868576,890045314,191743983,338004860,533765826,731031342,355158930,793733032,615312530,650185556,191799837,335715973,351713738,594500849,45665036,415765318,149824770,534583453,748141168,796906552,753986443,931681697,739640217,680219355,146051506,344490110,286006037,383990478,824028601,399677204,648616159,732967544,812591622,644484933,488725186,303921016,61467287,839403249,77609203,972484059,339162784,145771993,534801331,232453905,668072420,883295932,196978970,653862720,294135999,130380761,997089842,181396474,798468076,518868995,780540021,698170649,151122454,6148023,706122356,496409015,978334527,89504916,746376942,328379185,93355177,773331262,173340783,83657411,952083087,508187551,795365719,378135472,814868331,505122960,834807888,5514779,988593237,115605187,129842970,84694543,350754223,575930176,989360718,529162374,861434560,433325270,202216636,186918105,990255228,517761992,712355253,280518323,838569445,375041019,145405007,412779355,564473441,301691736,188855329,764295204,997608028,710990607,896381506,337415560,39389566,775505121,563398041,110573861,442500765,346268439,295699419,31161493,319500813,795460676,453875988,472168713,825604145,37325283,207664123,128660004,313637812,153808311,905643187,509201096,13763280,370215025,929810242,200055012,12552184,469125164,187745450,625734626,769309744,400763993,559691882,999520308,681231718,477022107,319537286,186696036,212526663,194722464,889036273,316186754,746473341,89666255,83625947,450799743,998614173,928841454,382622439,105936957,573754394,82035961,489508911,637706327,999048954,723782302,470706133,496873089,820381362,970412034,668612285,16185802,151234114,835195935,178728400,74249244,392520891,423539561,812049603,52120288,798299114,198439319,697731870,303884532,862454817,294640557,205823861,538843041,249584219,774568170,609028547,536697086,767484913,542952649,623085413,15635083,819766320,245935055,217900054,238081397,501559110,513524036,643473124,53403342,148819648,494354815,414378059,225789288,375978562,140898040,415793802,37925706,163630651,222625161,695546847,634799769,528911903,592744056,83218037,586436071,451816073,38812950,370712532,729530476,56304673,592936222,661762572,596515772,115445391,50741909,735459524,100166590,906738944,523613294,38725665,819565617,466272334,275259664,11096482,668787258,664830170,845414052,335620688,66327113,837100856,575305977,181424456,380286353,139850227,460053099,334938246,935616735,971894923,101082057,864983858,193605650,202623772,14956299,376531601,391139379,444393177,928028288,654734125,575637450,596750500,690714746,60425109,943704518,404344363,932659456,854176794,89155746,737064964,366181962,64228448,860980768,542576385,294716010,558288896,853114799,529598433,567383338,83239015,655948406,535316183,161487742,153497186,323244584,514361636,628159467,619950453,558021164,111810359,489435787,429256450,712946159,884551010,37976262,373088190,937430487,406104709,978144201,723554541,731706461,780546643,32920059,764351648,424463937,733785681,487958675,51134750,788050196,702778177,192779459,803748488,1056430,684693820,559492709,405914836,670943254,21963251,790408255,8786968,11410130,510557604,630538636,595649089,144629295,104477209,365272957,455619206,69823439,945984094,656901235,951624891,233891381,832655357,407623379,511260369,723680466,804453701,13749542,96560727,966865233,480815193,244386940,711072523,895637688,919497194,886960640,902375339,802478016,89598090,833098079,649746581,646147824,793283967,170145349,119156652,616345393,276521738,649859201,48806606,710592867,868263554,567829659,53833455,689152966,478257680,131761791,761551146,753871157,37249661,49155309,459721283,409682165,571479808,635275691,4566365,747645171,935936442,5925126,824199412,675673575,192482814,706808556,988646688,26235811,386344774,326750773,550846551,10434489,926489944,9442567,421809841,358724860,158389061,401985449,157037423,671765013,257437521,563183630,736687214,365249928,297588430,337818898,799349091,203577773,112999587,866047954,35766882,606890796,245827155,111947665,967329037,393348033,665352456,27352556,177118471,947062603,152223734,800066116,882163945,69477330,909331543,344192536,257178663,583712104,89711003,913476651,787325325,401801379,943437258,518862744,779141450,697930608,435426073,427576633,994252376,450848753,424294580,994273603,853156253,684057277,67937717,202784923,193687484,395938712,749803810,596293420,692658711,972572514,55974944,711359306,707589263,404011632,424817673,549587856,624690110,61942297,703143845,329769830,609630872,500748336,128307321,925703276,28793889,284348235,644810652,760497840,316153199,319356912,317023094,223341673,221510489,125466703,155333264,532686446,369497692,576438547,584466240,473388717,824067208,460492318,243130662,831343187,86682420,321886768,897202145,49796122,86319448,791018765,171647183,964787536,899657946,236784822,473123125,202488872,225115927,315813502,919737681,15688696,549349353,505386661,892695260,99236414,171486479,848165542,392323177,936843357,250875890,446843587,583589468,709668506,127754166,982348359,244111998,404865348,246164107,27596021,949061098,402291281,602948375,203007667,145488012,527716424,721073539,6053013,307956318,475066026,948586242,90927781,239763679,58803153,66699966,264537658,691347465,904013857,436890195,146763609,150461045,362009859,862839738,711798940,628507881,313173132,871296139,171544327,118493574,257444841,387412955,356204849,891596676,885340244,581046848,741003963,214775118,230388119,950760399,365990119,832286638,498152820,376570416,930961372,241471907,458980162,856728312,607251679,364682576,170626831,727780808,112029603,263547155,445008214,824395752,511235454,701019846,74660227,421225492,923594823,985777855,54494130,584046873,624047846,681756446,193703606,683237760,614264382,271415407,455124786,87862608,139407128,229305863,978643237,208767015,939195356,468440037,206459383,616829478,721576467,33333370,321427416,285231891,40994820,389541300,95653657,274966757,751387007,309196002,176427434,575905407,673034691,709747180,804480148,592222348,137937099,141658261,78235141,757045558,374816735,410073073,755955005,952113710,547621883,626731023,690253930,868752529,701162060,942595623,214511170,767371440,827344355,792940485,381197024,869603856,885981035,848805185,565025276,128253667,405120971,757217666,92445735,860167399,794312423,790201739,587618132,599971717,962616788,993768341,258188961,338227381,884392328,764708856,50841270,808315287,42503360,396301443,499841907,688907531,951921332,854910633,707133451,689380899,770959720,976646728,806263311,403512938,278597154,224704058,441893014,755357293,366775262,845005873,622869129,922937098,737068890,490200042,316458440,896355260,25399364,817727909,366776876,492538283,124275331,341540805,601435614,991898362,861381184,976066064,686789830,888755975,636086261,838149306,403798534,248022989,616860961,317491874,303009954,255418117,728379121,174602440,682153139,544077864,792400905,429151937,9559327,889898111,134183845,882179731,676082208,808983815,964639270,908382736,221825815,948780640,941380776,51756748,435649327,801722616,848915505,766752858,792250102,551732029,286915993,420835918,55414752,832156527,66448055,234065806,615900565,417944236,560649120,376085942,737178151,230353039,883705100,854938354,459016101,122364890,778603173,660866310,167313542,788524018,30773400,853196443,799821777,828791608,98544368,780080656,185484851,785102071,791086800,568933610,855522219,353912199,891487113,460368218,204377445,359806775,737786461,53651396,641602731,804692109,203647032,969548915,194194323,515186623,500919740,444357902,630414082,670213970,15950731,128877217,496638017,839506540,420914059,825031294,547901953,175439595,35435121,516962158,750056847,108393962,902488984,321394837,754892154,951698765,806725271,631159720,261139450,149501931,24614401,548282656,120024540,391652118,82699131,315561562,131856090,379368560,935350,978386352,364037588,800351117,401548329,828745004,465255763,164490792,430603761,792107189,632803474,317150751,74394861,160129167,31114396,627180503,407601897,362515730,583477969,734868755,954569646,26423502,884943379,524489780,728810012,12751735,110362774,50851537,835589295,843218025,60052536,22532462,200951670,933302265,182294533,519974426,800210538,849659551,739894512,999360036,623575645,240940902,136009573,871459910,387266827,427792462,861862734,495689024,874310955,325836993,201133935,859334430,689148346,95022384,278769422,468203449,909417663,873269778,972193159,232861713,423185514,690154161,58710631,227660419,501551519,545407000,493990315,595701606,285529618,490056138,830530895,81345283,204314238,572151079,509434433,599397054,715269061,971728569,507279500,311502653,304808149,130278074,138490184,54522305,687922683,284249396,213761938,437295313,592839815,343330950,962773618,593897662,183980314,783159684,997604994,908982760,936857843,283689478,956527480,831736278,3975774,505784111,640737276,454572914,274101666,406443695,866063595,593304362,951844861,689040047,213417061,345884754,460694710,773351475,129341447,374195130,742502881,554501810,420838668,367882762,744524326,519298981,764198027,437744865,187232628,767596965,422367411,169794052,997713825,152070130,444217900,136334467,828856363,258374898,204241548,516538332,487801609,807907762,415298661,469915030,133307238,46299087,348871454,463385395,787713577,700241272,342726954,18802002,614761786,959343860,310101176,658343864,396725914,623687633,192284770,918990858,731820804,568503703,457227958,141672886,797546948,785676282,868450226,692469464,364289308,763115048,27047461,986086255,814916089,247404034,309199771,472635788,850127870,735232283,543154030,832190660,653766530,982364780,111701192,637574509,912369879,262426461,146766977,69314286,653523377,901871167,638695547,359007738,660813993,391271132,21676697,87669486,842840493,635500321,336744904,273523470,751828381,988170507,287300093,847788859,802182748,515229832,215703057,954251113,607667942,915398223,969253435,550407383,182810374,452128605,519693521,861246668,215864718,166976288,665979948,129902100,877347734,596596015,1020870,494089763,8778567,489068177,928588369,710566649,383019948,862530958,377186966,433148478,190375156,408700934,215442599,861897811,325508539,100931688,548879316,207344246,468978601,460083014,564405246,317620801,694457396,932605259,495845660,905441809,293402728,667387758,646026442,15067393,950999672,725649955,540067176,740949069,830265228,804781000,843764826,676179535,645121477,333053691,848745200,177325116,189005151,943916087,273667375,909768476,104655848,606294632,429918008,665164447,721720683,309860692,898514351,874546785,732741586,442736886,747485219,321650587,985723648,229383327,805257810,934530073,847497721,178799401,959454270,899287643,725248941,595008482,914498518,91044506,869129293,120581184,838542598,25612977,871131109,589967216,378566752,931720650,794046274,235279279,651131407,958607680,862078049,643547469,670398406,116688285,265726446,547447226,270354930,548902707,45805120,361828369,927724476,269141291,885856420,712140164,271191049,328998194,658937822,602563522,384991863,850107725,910259810,538669556,284519952,937632951,421642576,528875493,940815553,5303440,469243430,671100709,138660835,318732140,837857760,982841626,964303293,424533757,96488749,515033208,346486876,241264320,515013425,165935773,259534973,711585959,170405135,583401306,324452137,246013349,829214250,78057933,10973390,335530903,766166152,676422462,909652990,62043054,284714244,772098704,900050595,338081174,330044988,450154005,830008262,691171247,881984196,750627451,797335993,731839233,525229811,461813564,143411210,366780810,154644,137291893,801337233,531332269,161465356,960998395,131068443,421110178,379945830,169204066,154493430,424437052,146923156,763618940,257431939,919381715,222900362,857958444,409668835,991938650,654204512,308473143,207028569,343424777,136128946,213705119,73224039,997584129,384000298,73473850,467665761,181725743,74903678,4368287,341429149,776640373,767836337,28766763,64025693,809034838,839353531,451091511,469276172,930028185,322164704,924930020,632953915,425240328,351107261,975697411,322136655,363429134,220439150,243289451,937986111,726692582,375621949,500916136,182544,7458363,670526023,472551501,391241422,51532131,430483387,124205288,41237718,576177491,459396406,239701773,216307662,50930252,73403103,302614988,302811921,48978594,786678891,718211587,748586289,894920992,170374244,449491003,275007745,950314122,459220187,680621344,741449756,250408513,370375855,519809765,666588947,750294463,524471161,938977824,860595088,192659736,450209503,590589110,100792236,567005204,235088011,815499923,169810656,358463180,966296640,652812913,920358086,491341436,365807187,728396835,120233355,352244494,242634256,191764795,893123186,496582447,168996828,604041007,872018375,220318585,630578354,576976196,142028431,452723098,463382074,264111718,735836935,751529277,821784708,48926059,878924423,98332396,390471958,619849302,353528974,326841877,984393319,709628897,695894172,620046530,326698509,254886795,258233328,908288736,560128657,868674601,477516089,339247235,887504824,756470497,241660839,238481445,495062985,346327421,474553634,634005509,758591366,639812987,641509333,963356644,581915422,291511697,146417392,107644590,164024983,113935874,70277103,276499010,704147142,290811389,687370468,327993392,965649515,291073645,14354010,491973935,360009466,828878475,787912674,809666438,542353117,716139461,95658771,288538349,225707327,667446279,461554152,173820694,519002555,572733046,217385159,524717282,149290079,46268110,474792266,285847827,177065120,795940597,219888685,68691464,826806080,660582501,243785806,676265103,353634280,686777668,877689344,146406,525909470,446635861,553838026,645170666,265462693,184941251,492412364,726302610,671216395,962286290,49071180,697555623,556431209,65057183,826246296,175892515,996807064,497394809,18250212,16064546,514847961,941906627,545833422,484063826,705236563,399363201,753670834,12420303,715184689,492931907,669378467,302560911,15566484,923400098,84124942,709460988,751517942,759120289,574267846,395827573,82244812,93928397,85801020,361395474,491415086,659493331,33915316,678096934,461421017,280891355,667487746,670548379,338383235,454761420,494544079,77013077,529891743,59873685,501809116,323518874,422865923,223917189,650421614,244055384,946045179,693624542,509264752,405224329,115986947,517690526,976839968,202849498,218278597,527519520,612062159,647326851,704874329,78992284,224490505,208092506,195580044,340328249,991919764,736067748,443912321,382550801,311519741,972487889,327248674,655142861,577152448,59997163,727922212,853651524,575376677,864002884,335735938,379578541,363037512,556739349,621314048,681017905,914789426,771568299,960138836,447869350,236850791,975086234,404388591,971964166,971035965,587045399,913332020,955976759,258478404,186458349,488735426,25074223,431183565,802236962,628825549,98508965,143636588,132232978,278528678,378172373,291136841,641551370,636243718,399949395,963192152,358493821,230843025,272852980,475925332,987546666,202974821,552994274,856462999,480114431,144074356,334646934,795749452,13102793,510068321,81856937,739383126,488614364,706949822,558778159,64592931,435684031,433423918,375067103,423686756,755813394,537816571,944202586,899323309,411801663,938907210,282107857,859377372,528873409,196097286,715222093,578778259,322255723,182808284,14650055,503418789,885936883,841151650,272201445,33150715,377697459,776853434,500497827,168603761,817208035,219448082,383876378,816024601,781375682,407947532,709362081,51017255,750619175,650860184,182475658,25155949,411745539,197704833,494774857,916067789,498825180,746454471,160626879,323687027,368311575,101001017,754429117,68496902,597400254,399664642,856562678,187035166,885647743,427791734,127376289,941213390,717081487,134663266,855996703,743806596,215940541,527616773,381564014,61564717,443654749,351002743,233026530,686092368,443696771,823751585,260498037,285543207,47762170,896332249,542293479,267146571,280455549,589415219,885206047,444711546,404064545,219437567,407848364,572953618,967122173,642521225,901684407,114826305,680331487,553702707,184474388,732810015,339289465,614671025,377957024,563232977,55177382,748212269,389068865,212182344,997448126,656256438,284286277,429762224,283790151,109116952,231965258,526485860,838742654,647611552,267004277,434562674,374165526,368807703,944453773,122274138,983985383,32251076,90709030,6178163,958493993,75441930,179706305,945694876,331332899,626509477,161760448,205067019,651424422,784711305,677992709,489865161,870118782,148009097,977666062,539762395,616927903,177280733,745522698,400781406,783668149,67335416,656836024,18810902,399749288,223386648,53896346,497905880,766917739,145373190,213456471,430689672,372764602,217989471,318320050,916170808,657230869,959893829,768817743,582928089,562140594,521875284,160444861,705365441,124779785,938499475,465606215,72564109,698130843,327263635,522245158,933147447,801936003,960931114,433705298,764935426,205957858,871981392,846754730,778835502,547036456,547517430,54152475,532186996,227588653,408883896,319299298,128293744,213893976,609889995,799127372,726698101,357892563,887069979,322390736,628669999,448857441,952191372,203568950,474592021,532123855,357505717,86284799,481774523,613729477,618149478,627571567,879481357,818908420,906286499,60453434,499206233,142981579,310963409,698843724,501870719,761222212,448494649,267652977,987617510,949261219,886749350,205257178,905975074,140979188,510024357,892337698,669116593,407921105,427914316,605863520,73739201,614928951,90883732,846370333,905712739,832660718,110279005,31611181,146533570,666985809,827729453,491718029,643907707,66275463,40245149,947524249,742212008,585539281,413017131,126376842,68298608,302393430,435165490,26503293,815130279,675087932,107881595,840086088,701234019,536094191,663501145,628963517,674939349,490033401,480056560,357135496,534761106,343551173,126017165,181289491,436525873,987046783,842060927,772013738,489829483,94951556,924378715,328252560,57945729,707601773,688590445,38068465,964651183,689954423,312671805,570087222,4196461,783708100,577469181,547380694,377396979,976275546,50225063,231305932,703428506,491037325,757920136,176553368,213119299,654831186,861242704,511429760,580217063,549329141,923004767,662464674,106632071,815057066,532364958,811617179,11415899,924602251,673184293,580930053,469075104,744826072,991461777,165783116,660852531,222398158,681091170,580310921,897468129,573196333,377011076,866933702,94957456,654443792,516010221,436067520,462676445,271067994,622348445,929746934,82795144,186849365,636331910,810786423,891215067,235074652,818281839,600809112,494809589,312679942,495111688,457232182,100237761,980059424,101457023,25434915,918915723,466475446,851747177,850186393,406409027,604995180,423222026,644984426,13344909,594926983,281135623,575613213,143434178,570874040,844693516,304963158,71384940,777924505,553768787,555998765,810429914,740219772,358643796,937987367,238534992,450672347,231136336,567142847,924525168,203363500,368753888,688525299,728077826,472448062,819092077,669581611,275204072,237889087,230810420,431084982,370064776,373005663,347771227,234327802,332983457,652105844,360514010,556542337,10147344,300854960,579673019,967773822,5061648,640950783,160225112,981163323,440299434,198895116,962695923,887167356,401125764,913222003,722829407,443017177,904678506,484697212,824306126,768316575,557596878,847460751,902474580,984162744,744786179,530084082,650226794,207719868,425547564,661845087,4202024,998474523,700223810,677454576,688623029,973524347,273813171,77049366,386674742,321718848,73126696,159045761,975041048,287943488,331863,564894412,462465371,86757553,886476080,733549533,150858886,151253206,985998664,779129542,858114908,464304222,689722461,236188111,381126197,213900298,773876363,682288412,47755546,424620579,376237295,117447917,471973733,775410769,91189318,908560458,927041561,689920918,178431799,735294980,343870465,50622121,994204988,656578217,384720935,353373236,290282050,883463752,691866859,781417317,103461182,790352454,156774538,891412624,782563109,636679896,657163827,970509203,355676476,107867198,181748163,603035328,387066665,191913258,337674059,654576829,659434937,882076997,172882733,144058809,432209540,920321977,880734291,663049804,280640122,223307983,477189228,57743957,184148008,550592555,655332321,459514678,447750874,835825826,195713025,327924150,806954875,983552781,955585627,75462159,291452025,290376332,137069054,495191391,292913784,133618992,673366011,867897718,14458914,73544545,174117416,474654290,822132777,219237344,56395630,572974578,871179828,435778036,833641906,938768188,408050350,670048894,190147219,516573021,75955534,876212394,451993310,288853045,971754122,409299900,316436432,31281853,80854520,968680807,391411434,472437088,320679758,97711674,907321343,326732154,981552670,853563899,85923257,517251147,123159103,905735440,197484120,706303914,831029485,292621305,930117004,170322072,1451031,751647768,827842293,779303957,883355738,863950698,270877430,678004121,568426440,182022039,66096857,222584827,910570598,253920297,592605502,170920579,45814838,124226994,140398329,42882377,256927901,674316016,719676070,226549176,11413944,107540639,290947814,154681172,423066585,96694517,475559748,597858790,39523571,753315665,432960009,324412630,39941460,230910863,625644984,159514532,711582166,372861225,243025423,756247067,947600046,600495254,510616868,540605049,586998267,178145421,556165169,835514976,357998798,921659492,595194740,284526486,498230054,81887986,734638769,415490919,370768014,160930014,551054869,118738689,977282961,635958283,139081463,618968018,178288673,419344581,175872018,553313499,673768710,502102987,743831052,351425820,721841848,355656116,877967229,67586381,872478608,734120876,213556123,626422480,806426276,8533743,65624911,323007104,295083069,777262720,561130735,308571208,859555744,580233179,224206956,935131746,856462359,324836846,489028860,563133917,690292593,805508480,48644829,154553615,638010934,334023946,310775952,643884000,903596127,276398816,415785319,772946477,889207549,847574860,912821164,687214721,892911747,971530236,458006319,999285012,734345478,966931708,32196913,924093083,40032900,584028513,512259044,269882359,852076481,44159930,241493807,53534923,900197608,116736536,229730240,355010463,153302907,828080925,344681876,973570927,135014198,450232366,994370714,830517604,730779447,72758679,977686320,755868190,400719737,531829834,835231642,914306996,364252675,650669536,226398179,193801001,594746679,659612404,78599344,601840387,959042846,3593329,164763455,465652679,586344829,327547980,168033214,683695410,644717243,460290537,412174056,776394047,676593592,721088692,352088361,277176946,59035524,647973077,127043513,748166083,829104130,124556120,117487496,898184159,162733398,670755398,952928597,992506320,185933914,622468397,726768975,792923651,407354109,748366826,800644806,13259317,832988454,332683215,67486443,611890433,895992806,42756341,287398524,812907700,783511747,976194021,270490897,448563858,16384316,150083744,88229732,331283155,58272910,395169049,661168113,427455244,443870314,145795886,241637839,915088316,778888339,381375911,821276925,889107782,69429915,921664259,21584389,233733788,704612078,672369191,302167687,903548069,241680092,732217842,847501183,175800560,405097782,473402447,268748298,947225478,11485582,407885025,155378487,490478649,484480737,423734127,645177310,5614874,59463219,271107793,437826279,758097756,746215433,25182883,679955516,726533363,418057249,947260191,936827032,104643285,564947833,944820637,673026729,219734433,603601681,77859228,694549492,644984885,288437332,2630825,161857492,280522076,962397920,282710295,810616234,238022161,311801009,839549629,916465202,935837143,491427845,721997496,114910220,227044834,905026533,856223337,662998693,239338832,376604275,48928132,409999942,79037396,648270923,740942328,197757434,517099279,66937382,165722643,340981600,644988498,757964940,31182121,166160746,318413933,126790419,73517148,947675065,330392616,486677776,552707738,369178353,325559411,227255557,426598780,79598008,658421447,719989849,832898372,991998232,228697576,320091020,298070722,309736670,982674958,643747743,199700721,426028930,873823380,616841419,839525840,252240671,239218570,612967749,33086165,186633748,792935216,114191137,855715709,54073383,479010860,847887282,167394413,760566387,659029831,678836208,522807816,413653999,846515069,20731046,744854876,887079695,669920084,541162093,729661147,543987797,707093381,562515484,530241580,940280173,924398603,592178729,498747025,77434759,247287280,407225108,125977137,226375793,375692428,355238728,116875334,138125031,770337811,592872960,229668288,207143249,328067047,93483923,145703746,194892898,770042758,589633516,344032296,651916448,520051419,643368480,162620108,229220017,725622271,423294919,607072860,389973348,624765890,287219607,968113313,275549649,638752601,83833629,498945677,929150992,88918062,796274246,637146520,656363185,62002492,409769165,789503215,610269558,373023663,171912114,295789406,585720101,188608993,743722589,349157368,251608950,110503759,566395441,749243458,24468040,796337956,424551392,819773960,51906614,794992948,693737022,430599374,960947138,958160333,195284029,592252826,404025209,28978628,532353705,92051673,17589498,406022430,295331916,101545855,746627514,483860413,696192671,892677910,644971288,943348529,268030503,215791961,702664315,696329767,636442178,693780603,811358108,145702639,628804316,887904474,28018554,474064015,469423011,495654095,595102715,337689682,885999955,324912193,490848807,338402429,612603894,295959891,321629190,414224610,484124926,122026768,470011174,643504441,571739250,638083871,93385071,74363955,839211711,349201206,324891197,473950778,672197561,869943020,165209594,944135966,894506104,577748886,962629671,469724352,532721182,525334372,639015202,310740986,756080540,703390087,205255663,229079749,104470601,547485253,47092430,210297865,810317993,851470973,281052350,51790877,57288198,542258594,145007480,412635563,739348492,480984922,24993312,352368606,207272281,265226849,349885097,916680719,346433846,271365567,627740781,480155433,200892994,555121210,379628605,500308860,459101155,801364750,806817172,928046396,963668979,837469462,171580551,359178515,841493430,174146620,307255480,696000907,933890120,353864035,554375827,336576450,992055115,557539596,596911209,750241259,877071220,108272835,615695197,761056628,778622376,395949167,864082239,313657380,953595264,505846582,13432831,379843509,113183095,26274154,90056193,885490865,816094269,649225544,621445084,129340007,513264101,26060418,448153470,436790701,791402053,436831108,638304686,360063654,293130869,626846666,809271853,177242942,589169206,57802368,770326836,232324722,78006417,546066793,538656419,179156844,725003957,210716559,707489757,550685148,625065163,798789356,808385706,784756305,188565571,892042656,565092306,53136525,881686314,30427062,811735117,108738575,188278110,738501707,463946400,850822605,423195889,261744295,86729515,251776316,1476700,57593647,636696605,546524875,27047499,720356409,212087146,923676985,835518567,446592452,287885011,847428139,545974766,342262176,557119689,720604557,359559450,491212785,181925919,431545865,217250169,227058321,107582155,292975769,115081730,675266800,771992595,340695168,4571430,628150709,358317095,829515425,170052032,939727438,722403037,769623847,204464121,544555392,669854412,994835790,434218090,810848954,847343525,994345975,627718764,976263102,665542642,882363533,257631331,83810873,952009911,264682472,346300476,239173095,655900044,95025082,489721917,327987912,272752433,969336669,198814581,280957965,612010436,382696924,612953474,55769811,489587760,49890806,63175779,497051549,362479590,49500275,639783825,322234134,964491970,838981261,335918080,3049553,90439112,369800296,350540106,53042905,252465284,215550432,410267679,26804611,304243864,212804762,31491545,884518773,206424418,116351655,414447643,26784291,779267608,546929528,890717919,949590142,601585143,335157813,572328552,710654198,783192292,677879400,181293267,408197390,214268964,915120990,24437114,994148373,648423533,651088501,200851469,246332794,688318717,732592513,347025967,795603875,396831528,413514542,789562055,367867572,764231259,843564887,149314158,424723477,103946826,609697033,970277978,651523993,584122484,746759651,140585654,610389669,385761215,6816276,990874898,317968933,4300163,993660975,420220970,339996748,680936970,976462920,318245685,863611434,346394132,868325616,876951122,700509864,729802347,256442269,445867223,330909457,774495126,809545999,196739552,58636696,347831760,449609426,642752726,182870380,503196977,366086209,612263548,636585107,104478681,406703421,265892892,545955391,773405840,344114510,249223533,652869507,714568227,29548069,374599324,907401917,872390550,636035012,639521042,309292200,965735296,297648331,935902293,812860617,400828478,857969447,200187156,362818649,804370575,379686695,24325680,422843978,106230185,702456353,786507593,127375121,786796965,582864695,414896579,387085119,212789607,985957380,21811430,536685967,186326108,87599311,744919198,664327528,364516699,947549106,725874350,340543415,310038303,350268706,647328031,590026275,734978871,616625415,282451690,87242078,820695614,66249954,251188338,899511248,439506457,809002333,675676403,98773780,221955881,821644928,869704863,199764320,59090726,354073375,251073441,324727590,747798506,446019795,96366819,580892467,72283387,809536546,142792452,23063445,205308577,361745710,124583837,838826915,373965923,833283341,103174692,685341827,643235569,183934113,858340764,263006362,690667906,93318394,504727090,479247616,745960932,322066757,201900100,656211252,618132798,26984289,101130706,845257592,817423157,22642397,233911651,493337831,514954956,423176889,234112003,978597216,648106405,613894491,213521853,357625992,213407606,326015936,578176873,822360723,29101865,508238509,199795038,374071251,104880182,220221565,645537045,19338948,654863953,649055226,859526981,59752839,944419755,826540483,859959596,175067963,555349538,93397922,365111928,139138283,221288289,19509823,591255377,150285675,459268987,53618970,189319722,238074825,401920241,411059330,248301442,851720795,605229376,892624985,320253725,958272538,108478551,894424464,938096034,991799076,284599132,665386127,552082748,362600338,976339152,791297660,725624404,700087112,603878181,271581949,512095655,220470568,253787676,796269055,755028543,338140418,747596480,863880296,943201355,918061271,79053128,338881953,9081365,11288933,213135352,697147634,134808322,783965535,359345895,668077426,803443816,450340836,161247429,825742210,506798694,127936740,365843319,520758918,111231319,387271471,523767808,630935701,584065657,336774332,711839397,425899687,465335455,809618613,856710290,262620597,107370020,919899960,451111013,561001351,32318571,115846721,636422643,771585669,91614779,53189063,990390442,325352811,472546845,451670257,239352956,899108669,299915465,841165349,250692287,456668930,612483531,117447918,355553164,752999524,246822276,943353160,47883680,29550445,761110392,767017225,914023061,497307864,631915439,378182874,989392710,826951470,302813039,416635059,486737377,176462286,775208669,347224390,885521652,894369452,826953821,204829552,414302159,350741366,318675315,879093110,329158064,828839817,825000262,157648617,731061109,283159342,74515075,159201577,399645390,859472894,362233241,357255939,208011746,992326065,389319851,74455506,143157336,847866410,464039829,590305087,769077384,566004365,197817404,49667255,363483343,883090186,836703876,875644927,788724457,325214736,594693127,958596513,195357870,321453787,730176888,382555283,506876378,458945136,526744585,398311317,441195891,613804006,419083439,736327674,658463933,5633086,97118524,446769171,445586549,749607371,46491280,815018369,602032616,780432502,889328059,365181401,333819662,97887074,588502803,882799226,994805247,623139999,18887330,654823028,265933125,855193598,15529935,857278321,890238930,2211453,627997816,400293473,568016872,274704439,68259449,653209318,426292959,604046609,541701664,76649200,122529380,610818132,576431272,842052783,210587903,39615934,195133333,579085203,113464331,287995784,865650145,384464326,613972442,374532436,272227285,199013954,344109365,288150074,492777376,665766287,312029956,329880495,402464948,232834912,488477323,726379989,424518919,582775104,689515607,621387736,546586505,51449919,487121293,524931594,116978778,376668309,86093936,178621492,100899089,86888327,382364018,348792781,202202168,193059820,330811292,899214312,187418097,261142950,933235950,830926532,526476853,607071966,834430659,774096530,833643020,908847992,506477803,530479497,551860801,933646262,919731471,277726924,423506136,949354009,302337558,941144680,526088782,736571885,163882493,608456314,623724135,262489509,46537034,751123661,714699609,480313820,480165022,656834560,972208853,93977586,140078264,982184042,136362190,279210853,66380676,43599452,906836065,864645313,561467839,298228927,451695698,796878249,533277586,283679018,198293550,579937395,832247153,314436145,745965929,926979422,828604683,745110878,595126806,395345738,760784274,535752614,227754074,624854533,998043424,214348214,575537348,742409631,929983220,645594268,168945797,733310260,999875050,573879437,524325796,495049013,389185392,266943510,531430334,806159228,270891412,528881370,252888708,557167706,854765721,741916282,853940592,944229020,655939417,988348132,516283167,536476930,398372919,668683561,453125958,594047740,340770898,843865097,865147722,551607995,119944440,928420640,876788069,435683758,576878743,10462514,783182946,921927987,257402070,688573402,300786675,866764579,990863808,760873133,476312504,557423240,437398113,536064652,631668914,173998625,169017583,192582323,701443609,188417260,472086368,306801146,186577692,689787528,773083813,264427360,598786886,884536244,288544343,158744152,145559446,821120847,340032588,177474826,896841866,707478261,956324675,453953335,860971386,161150820,22911003,603431639,840870628,285462255,695397145,519356478,745148402,316374780,34500997,580164695,792532503,310838113,254944989,618074788,570457721,844704717,759102768,942142823,562386241,474830030,960364846,154692015,569276462,664103654,443304004,897685732,682258696,668387643,713256899,763204567,71115229,7213068,654370875,733166965,347400182,968136389,566121767,654016069,663592356,317119817,197197978,735392655,890560168,145524099,931403758,945848294,356582002,812911737,242741590,221002186,406259175,301572002,109757381,689807517,255527424,312912606,281699109,751182063,377284844,134515739,18666806,541261426,945266428,258816166,270882952,529638692,462675800,474557723,692996398,995542515,388623380,654047332,201812463,305225261,517561675,849260915,376990725,916939753,942904646,620807047,502572473,543738333,600301356,518610968,677796078,674994425,709406320,414878354,242518799,638214957,629995597,967806692,751072064,862141043,62535368,496802197,654691817,514360716,987057274,529733831,857728253,624501902,512646422,762655724,126530142,405594466,24608412,686532447,999637558,535136506,993932355,359863206,401562335,97354001,70127689,925344515,375449756,562958155,809119620,523652620,10601431,511037241,98279126,382927356,455525071,521840141,129699738,712794374,324162837,344209813,18426786,37272926,466814875,412962603,62989020,67339265,153653277,833448077,599661078,695243029,399875064,216277408,469054495,230969145,721162904,1632023,302055744,127735354,830739298,323052937,767936878,828396673,606731519,156032932,76729851,529794149,775862821,496585677,108762847,430433844,928825752,119897268,196459274,729353908,948014486,912632056,891045239,417340153,375219130,364654577,834522376,907579761,842191780,237192210,769837047,748044303,766608343,433715069,996314049,251544301,988673609,202076849,837304172,408329160,224665171,86370235,687246211,562362123,284717347,658176759,435712690,548271244,723236726,844916274,397040420,736281957,882649858,69838106,257853912,26449098,875521300,78911375,212888899,860058849,684994309,912519492,698141324,699511065,663688739,638699032,644088894,561144309,538883126,444637533,573678613,780745947,561714860,386280551,654718379,848767583,658585617,909966016,570635179,674765762,922629753,653746470,768942574,588097820,620924827,756988819,316604572,448318074,329043964,967887450,901264944,964092753,478918993,572251209,841787440,518649722,466232644,577900293,53287648,327789205,712512244,866694218,34906200,127173555,650256332,628850204,711503396,159349969,211399306,984577743,960206552,542659546,714748279,612596517,810006895,212746894,259052267,40123914,242185201,339001309,222369090,834656066,583003782,585006072,136588829,46750646,127640092,215998045,154363517,862652611,717993634,358042110,658545108,705763907,96293871,303464049,74077771,706438795,842172990,467188500,255279388,230027553,166330715,874737558,934948426,600382171,329320114,783823181,809446958,213856580,46425793,630285539,979916109,158248514,977329075,937703705,695222667,916842092,278288211,106921477,337161531,211114768,690118794,422319317,481001106,790498656,116198171,226095580,718998131,344260487,505281505,711404659,192081921,875992270,163162754,853402514,895954564,267026867,680028050,283566021,862055172,267708724,944188127,153847435,428940182,226849216,164519634,657038017,295906429,675006941,797319203,585728514,249265901,981698857,682959936,157553022,33448524,233862289,555417076,248255717,409689794,640730346,563725998,509490886,634342765,715622188,295793632,507569267,878718442,915106893,777646124,259927599,214175861,108409662,534996264,934230592,321512747,264541297,143601708,427620548,849091917,654014744,883879304,125879069,531816815,199888696,621927786,534419185,769659899,506219293,681892880,508429200,444921379,27655085,355821095,18443445,664336474,269653739,998576801,706100131,317406953,993081647,98186393,301136272,330229587,690805002,373484147,709585198,25071891,611274099,401039619,731155963,501833731,881241491,569113281,644964605,914500991,660176555,868513974,533480233,928178084,469908490,760695401,996692376,875316291,137806082,394487762,238350401,303875954,392351625,664332381,223470415,212683354,94207701,311732941,898328600,217607037,275711302,540430686,541215032,428258966,931571524,169143644,260980594,943158186,36436097,120522238,576571200,230244450,977600690,245945106,408987293,50849287,628882463,561710948,128119738,764016086,295988697,923683925,723441488,810206014,243099984,294925377,260394529,256007138,429523957,45164716,831581603,811116764,767905686,272842009,583770718,376688831,176847554,921567955,992850863,607157447,301527057,843740211,459574927,451719134,477465206,584258544,223671821,164569055,394574241,953715739,40840227,510136511,351822209,650709998,567513660,881630854,66958846,580568440,351643460,2099925,648438021,48322692,788162427,310043681,334245154,219534041,734981263,523700396,76075684,429370726,404808006,954816440,15731953,839329545,941469543,112732353,960092836,44191065,489039790,489986909,673696658,361112995,83847255,364733466,894151709,597770862,222124532,281981457,802159731,906958894,433381510,711308859,845243298,39953120,763736837,318989595,676867411,815311150,716495258,606506464,950103600,171050626,145110590,456709425,441232135,904219448,68752491,213781355,471956578,607797669,776335771,957152920,590817187,167986493,513498403,41728980,213389439,726850715,410522034,443920041,920936789,129744258,948288781,261396922,635887681,348907669,336285731,409907623,345474550,3328200,647466856,3405175,774581220,534281775,228316053,4277200,548194845,257996715,633301746,317558208,937726815,967125705,371533327,793322228,660127797,395676001,115139502,34121656,125196206,963593604,899521848,121349475,627798519,828233481,922783698,253614824,1399298,211589680,672379005,389427320,546329663,325368348,71930994,689837699,78081434,697573654,98687642,613299491,80765,898989444,785096225,481496534,77023232,732831625,759755941,477196835,877380048,635608718,862857266,941568303,808149499,647295484,402059303,812582093,625739890,188503984,938150679,872550892,676283364,759479791,926559881,339858017,684651326,159207433,275938050,480643844,247774189,668777575,975223347,635884255,105273987,835898508,93187971,655379640,558513782,886270197,539758705,852007039,260911558,230352600,565961989,446564535,7084830,654888808,300162985,690374724,3280115,572680241,277300791,573874920,738328538,602700555,568152660,316479593,502250378,192109818,443693427,350247134,886552074,376574603,173126423,394505777,826584361,153144424,264776787,621476235,512454377,3738976,796436970,118206086,645377536,999918455,459693886,528716796,604645404,203296476,993094576,133124985,726783690,415528556,595507650,966559974,389304098,819316573,362451410,818716739,681326665,462236656,911893248,160490517,292987790,623216348,691524985,21282196,235700793,728332948,35574266,618965399,361770139,232263810,875044449,37239105,130338016,742368068,679587176,930161847,523959443,768337693,708865905,249054073,921472587,272700100,871895963,762862963,110941213,298250714,341775298,651521343,210532584,588576505,314370522,970077230,500793136,792331347,248382699,550666258,923304774,716874477,334882335,505598672,771838256,76710630,359140795,238443165,997277970,495625016,558969856,780675354,914326854,837936789,304522113,459364168,698059202,379209966,565189139,125977475,137881655,252726569,458614942,378076602,538776931,735037545,342830234,123312590,777895380,118497027,195743061,831039823,702993485,455540683,401151396,313721505,433112671,304928121,718632749,848310209,965677393,900456869,369774775,60678706,538326045,271443035,226437671,795103013,233632074,972448850,633088865,889329193,82316274,445336957,563612400,6125396,703265543,281175531,349980359,189096690,844968034,856910016,794241778,29484886,143158321,501075354,7593763,637741162,127639540,33479831,924942728,575132802,457321009,997531224,818682401,364469911,242777803,529874430,196858582,510807603,902833081,952209372,693003218,675577097,906770537,287775036,100080705,409976650,436012202,262427339,330448916,908381761,371841564,2993233,904530352,631976794,648679439,113099499,134989150,499182890,518418177,617313033,684211293,243540669,31061982,453998280,146309182,335487050,2435793,74808891,459797696,575280952,8431804,238028934,689970467,332412037,126413059,246384521,465021681,238149443,63334026,412946045,774184314,706034535,506044032,71510490,414319573,57686554,149576807,985627493,994231763,246527305,470812988,421850623,372112556,196514504,998276032,689628312,85107620,959040471,707317447,36066606,962470937,96108377,280797382,989074134,481814049,38881716,866572730,246604663,683112771,94794718,912630219,622981719,64030758,755678918,626759532,984531147,148484154,607461880,582093347,915258144,463617203,620033451,144763228,517164274,597997610,286002728,131194508,806020914,134977511,331594722,234530879,685140102,599581550,13921044,786099302,939115889,713845223,615439314,3056149,524743327,308006006,79585517,756251991,488681577,520432809,742501695,840603525,607457126,9032869,736181676,576372310,430834993,511055207,890082076,538322835,641968612,157906813,59785723,618597577,314499223,276903565,960190646,187770211,28830928,296188716,870328814,699189064,18529220,77135781,539387204,293293081,2875092,776142305,973250512,404912103,323232984,912343031,824860048,898073763,53422853,162973704,604976211,98516591,466546908,279903736,796349595,21298746,800488063,667929277,180840061,64362928,239592858,805329116,283860344,261185299,903495407,992625764,845922289,277733255,365162077,493042932,625476587,401777150,519159229,951960319,315089823,781842776,835292561,159572455,539149920,639245933,630777700,463612003,63938110,878786456,428806237,86905547,451933259,429984010,702450340,206838074,799273837,866397174,718791201,4915113,766460382,909762215,517302875,330628979,270416584,478453085,921684272,818532182,479583298,549919042,699672828,232205802,408378424,67831850,881224621,777306304,927162801,149829690,145503039,407025343,878488463,855403693,765747957,46150642,197488955,288739236,731409886,692096972,89204612,769719261,991719914,25749662,217857567,416524186,175795123,242853201,506897447,600329853,366103718,17014783,186816695,472198647,425157877,519261838,215527010,764403876,685628150,338518515,706276134,735569729,325749341,623606790,970033856,382555381,848831845,184326136,690021367,885321738,364886568,284670940,800698591,640430016,566938260,764390867,816248013,40968170,246072912,619745477,223854093,290632013,809211290,411699931,263295209,488329079,917850834,485923725,945872920,591837066,22547031,691463762,256441290,44656969,566962176,337721091,693439058,588412704,287860921,776057357,240827689,685597643,457719875,476093981,815397454,295233221,941408753,240009493,450604370,796671468,794808899,158026604,334191051,513834291,424271963,146311528,545741302,579162521,376536502,585551551,678935125,490608095,466077767,927550697,997431098,615221715,807344459,58361137,593373778,154032980,601241283,120972216,189661983,63858069,656570511,917651634,109291252,543855481,357884059,536396091,243687589,747029967,492063370,280079132,538429140,365892863,14403812,226316938,846408075,487067058,105598577,543216064,845163479,514352744,137448745,560262548,382979051,645103558,104245062,525821603,743374528,792542945,447852133,966836286,406391512,882877381,989219603,299895144,787063983,850905583,654137485,760733999,560554464,615637094,412491017,179063782,544590607,915660732,763524090,999511179,664697336,477086527,402446789,177786045,787940835,389223953,132206251,871396326,377037303,618218881,668234500,439475724,438332976,415447526,981069919,24402087,269909356,215680609,894901367,633243881,407204689,364008807,430491776,346962438,75124771,811001002,265377858,20940786,763066637,423198392,887426825,211589123,426048370,979151899,419113581,69206632,26173175,745923897,546978520,427885185,833800397,332392546,79881653,963306976,938370157,899455254,666681265,315916808,717239328,795670567,784581478,251627912,149485371,31910059,252154834,61676837,296634727,511375217,85558601,335849395,441885368,453651735,561888434,625187030,86168157,843627210,102541378,740367093,828862430,932250448,239495599,278312818,893435643,362363171,353308789,465565002,408404815,508116653,506344231,284097463,500777521,523045343,895428988,216749801,634097340,728013421,351822484,375488245,788791444,94911838,19902915,242703957,644819820,566185958,61047058,822992889,9136737,534436174,987325993,988916051,313549544,830558297,508304174,868124120,213487446,222226422,667952758,95883881,351753730,94835942,838458382,659310101,137219962,955250478,9576734,299388096,812943497,692054546,78165867,626122957,20688893,537174623,899935250,349463895,145504564,395743026,865947393,709806632,618940221,819348618,356330626,122915690,749159412,320945124,702387107,762060274,219797378,407377716,295281312,984470369,307238025,277690646,144224830,186113345,675771532,835698419,894508084,789177391,485280408,752623614,446750101,42860691,635911469,115547760,796986032,516459729,327599453,641144935,75492418,273964807,698339921,733487540,912635855,727972703,462358715,161547640,520896244,8418238,378686640,356752525,442147857,968105711,246264628,212321836,40891109,403411945,457884666,592782564,268199217,861347332,223498206,284397032,514685424,246007011,436464434,972781063,252140190,425642602,956583234,376387467,724827368,865111695,115384420,167913621,364600870,346361317,712931738,216285265,511613,268553346,964878058,722478395,120683360,821399004,244943549,352161526,766263121,148169791,773880182,410956167,773944690,918279606,963164468,439351651,684455348,460140208,582049229,74760309,852674465,573105431,245886563,934524039,613694327,733890786,36787384,408613227,408349855,157011727,58721458,774747498,751474232,64646363,634052576,635686915,36483430,888049810,157879795,218327633,658331081,166632761,716064956,904434217,621227225,900974141,367396236,530553486,447818712,866808420,166869100,695022309,512145020,52352069,581129903,299432397,65363292,504599574,331842634,997387629,420895985,621333871,661022172,240947838,583595693,656842493,672790934,989893484,832444634,86038748,412277577,929755265,330468340,276765025,835010400,87334612,225918093,591371137,941442634,457386019,413025727,984554457,480521965,576126120,863101757,270117858,293320930,218204946,319425860,973113332,930024697,18565143,468725365,102742868,236576857,907911596,923496842,200724543,18630475,158751099,436347374,131375975,665812896,751540660,452542433,629511012,899320906,559986185,930813292,992182,342758609,952885314,494407464,434186396,46859264,399569829,31319588,970662516,162038533,566788228,143956926,686269392,507526985,649926691,794230107,905590608,79314254,478847844,147374876,594044089,313420940,490375907,122625810,687586557,217483090,191989653,97872295,993387293,303538947,497629708,758366284,246255223,689114182,808533983,543798758,533995896,546496962,804674711,936742701,319804962,956743692,708620183,399561292,390994660,268280849,614396211,765387437,410192669,376602510,100606307,752372472,619328085,153601265,417606157,469480691,530031075,673636403,998765304,715189483,519167963,3959054,241703719,15289739,827428805,545530883,586310643,880883353,917076185,514729777,271448640,491875933,907160251,524230719,24631461,59744862,927446042,351475903,57012369,191962211,630174134,440514130,10942444,28573082,974508531,448555948,781459024,786850159,974295193,89281692,804327188,106169885,2697786,60489891,476297934,344960206,783200836,970093073,347171713,583800522,369670550,730792331,35730712,843893941,363162406,70036414,413064180,617484722,689677497,418542287,324158230,262750494,203765504,62407311,285407525,70653120,153084069,240920515,305254279,361516058,308431672,84960603,503022600,874828308,686073915,716067632,103529715,321966232,203181187,541851541,38136604,916292602,996240183,660950382,851658258,173059937,453659384,565339848,502369250,489999513,125907048,961823567,741525394,629442362,545794190,928158202,332478674,290595052,135585210,324432901,418975250,163834915,604191012,268515786,120361356,46361996,382878605,394530649,286153823,225686185,6974515,411631386,710190757,234634553,3578674,113568739,328502827,362688750,900530138,265503995,947157843,617491137,411319299,365158191,720536020,157328043,762946233,71168746,251917234,112753155,885442518,857209561,159290153,645987770,119205545,834746252,454781612,541976282,45198622,278640465,532790019,286536169,715626008,956160150,133082629,342350966,328424009,724660319,540738107,75511546,426434919,4616282,726216691,623508685,284641868,582866436,104807735,276026323,307271523,553573411,916523250,399400399,523383765,120920849,204765808,302865388,412321297,808022098,69912337,970179132,368545782,98298089,417497207,89943269,460948487,335980559,395470028,857443593,829828413,522656466,768757787,296678285,228236779,441407772,840414215,769788583,85295889,214091876,806186517,241792405,666443908,881804590,558974847,51576902,486985445,86815410,244821965,599593373,896629548,204175843,684326175,609269841,547626372,602328326,298492867,400308438,968740924,457264357,597461301,450217442,494156373,615903533,860141396,432952491,823561012,17599375,529927993,719407207,157038180,105510245,596122492,715828559,7155489,649290198,659446127,945905639,59341927,659441768,990820565,273214932,893562181,476361487,432880931,732201014,828738194,190046645,941418874,731374869,730775339,484332142,832595926,224570913,34461462,160579035,165490529,425419801,614096317,993943129,960238103,39180413,293244647,54701670,565405201,319081755,614401163,110777614,904907761,155926133,317261056,614553702,905937360,18066981,129708316,178817062,442933505,37702290,178828850,479718548,978836256,420690651,286595784,178239280,493958858,223246166,956710315,998725887,760713897,762106772,638321828,787899946,715059928,338102667,885658541,172186755,88281667,397900362,785107603,888656691,178971269,797647901,598169661,422353018,892452616,588650956,489052678,192819298,128049616,166079681,648913553,735067695,590489744,265229143,120986062,654753653,267222090,93893913,118043496,806898245,138594108,231705537,147104406,878613595,279991448,15979722,951042955,763587463,223458716,416861665,385296255,325966280,501115401,243663354,571383941,141333035,517209393,246902567,272142243,416737282,677859396,385276061,502026414,947230934,330392617,994440493,657589375,682039898,777384549,39762860,569574787,915354445,976584116,230537066,739937349,376880344,21447352,84474037,244815420,997087581,24285447,23972313,192873259,471689639,400378974,237825169,422295993,773075416,868598673,980497521,83446735,339446729,629669427,763795838,95934695,524236496,459539461,132701079,617329596,170203435,16888373,773868327,534536971,940603742,566832679,33608082,191907427,568665844,824980160,948317253,805910654,501043017,246567532,111799366,38166064,677260144,124753040,50769208,80496696,988688820,453749408,894205422,911849078,62631672,30881226,387707192,865405843,959003492,172203112,896554582,434576101,625391923,999789625,987312988,487590823,932994406,90942628,512781876,161482764,998729653,112908747,452596413,75573698,725728221,721284511,918884487,656876982,615991073,517237676,623149952,516357984,36272997,735854847,914746886,830612906,290453609,447026937,710790226,508205804,48219345,416252909,86392509,716339862,756795048,505420821,236642549,995130094,788372590,848470982,155348778,173049609,227723827,369943676,998327363,335222965,425469664,24187927,170760157,237731854,430619698,411550512,893537295,910757465,681811097,470583597,818796598,476676857,746650750,127962665,522733085,918392927,13223697,758943091,455007899,894064171,912629115,890326090,996444450,898065198,954452038,552119164,385538891,848896559,32204645,890934203,296621719,62051334,47849556,13015273,534085731,205784668,974425181,555846393,214321694,542609013,226020090,846463591,456964047,142821187,34046320,299032502,480915508,319772286,136017242,599913936,244246766,218023623,342554719,619573177,50629433,159422855,572606792,834864001,320282295,330425044,558271653,143389245,490790982,657175307,42340789,595111260,884326903,431961111,19759239,865119527,953111854,281197412,913505433,613022313,781473028,194357795,420554249,965268528,773229342,875777265,239362664,647479736,853245748,483733026,792139242,478893574,376956541,897449982,679457144,391272527,226697435,376121763,930214275,649082365,214172003,467730412,79398863,419092837,320159444,754810913,990581983,223885586,981201128,785047301,355565713,224031241,93532366,326458394,934506470,780303719,511083359,149810365,42393183,876086208,162417542,540595415,843269405,915218166,672115267,160731759,26967764,386991125,206582928,619033238,540316174,16747135,13623373,217702516,578956351,756885180,389131199,989434552,522600153,355999307,862294008,153260306,631497478,742815811,173541087,964339680,328517325,853151521,117215556,885421427,613077597,861471447,658422941,952888205,465017217,13031238,315831081,478998302,39591923,447701607,456992155,978772828,71245935,950109473,28351825,414825364,794172799,942923654,893858705,544520126,563836610,207479418,647470605,583463263,176252467,829362319,885646465,813037643,183652643,486138089,451921474,697077284,469176264,818516753,304406351,853601723,40334749,664544155,867547880,534947431,51740331,558401418,998681903,596195423,914418182,181265358,758250826,830947286,390870438,814947039,449572495,699426888,955648142,125380365,235355681,330469903,121480563,614567717,150373441,305037767,483915721,851111036,721810470,84768170,918229376,477735260,56193570,444594157,179198006,220499731,729670555,446814377,15496699,160571597,847091443,621686844,926166898,636903850,342341192,869890839,844722621,372371039,780779393,323801186,693675185,790740153,424742899,667322117,954324,680136069,851334410,864192615,261419536,92597505,779537253,77040446,192986738,329720605,47874727,846786014,205909535,78777682,190891366,126650896,675568969,222281421,115428089,70094546,81812805,134758506,33522266,830067143,617381609,531428042,456666876,475950794,482613776,574805824,592719726,41538801,50814492,967950162,968365358,666119903,892559617,770033452,979365960,101316864,877457777,421711513,789826045,42828020,251263919,598206500,71518387,86193294,414984397,803031,430365452,682172307,881851972,312385470,786866851,239179832,131354236,277928169,555173781,699663109,760178674,789865948,415597716,822220954,293950139,768079498,591922973,383991762,191165733,542203387,781478175,895378810,739645640,863094922,678684222,735934099,783070175,892556750,806052217,345480190,17260939,140698505,367349427,707570644,854903429,205443267,3800546,683833089,755039609,581986694,697016415,117333626,140952062,906753170,839656234,628716135,820528426,625897942,958616928,563491627,525091167,331485149,767914534,728237044,501787216,179007234,953897356,848175321,315972744,698383331,409235940,467617229,486880384,488372836,107519838,820259743,980991655,921858541,3355930,256453518,331282408,663235232,447734667,257288078,814525306,608728185,257439617,213167057,722827567,914304286,51870360,611559863,757387463,198469085,286372171,669597175,51808749,553557117,268378746,353264257,544455330,463031182,222897279,420459894,331588766,713367050,211377521,524354690,150339011,484705649,520126105,87700232,553770513,98339831,226786543,611737015,765737867,659307432,496054385,614272064,737079603,41997072,578138159,554254859,700070286,944841125,480484611,508862640,411480599,894449870,499518892,592894032,475310646,485441524,222277166,481847176,182363071,718213929,282050970,460475408,76896508,685903685,294396921,288195784,168869636,896537932,443927812,595563800,729077505,545159501,89447973,273004471,82223820,466191495,756254584,106114025,165009169,816216704,396879782,518323930,752647759,430964911,861306877,717733267,260979827,887208241,965418211,273341289,91940406,880142021,580326054,399105772,856717173,78476775,639096339,253847213,564547787,606482627,554978998,806927270,78012564,628192802,995050154,352740278,232910319,450039834,258833797,238812131,756676114,120896019,375091824,227569594,435715958,73305994,178417433,711577306,256768938,45881077,896445924,757014885,189917480,173517422,534836580,722143138,213932602,917377514,452988714,425066907,54925471,610107482,160620157,309769992,6007174,901850002,522539751,898584768,109668331,962717265,59749884,895278769,392214872,166943758,904147121,40831663,177414658,711621384,334197402,195284460,901593138,58146163,28391912,699682805,821709029,635421360,927795092,280475275,712837568,244542667,183048282,666072032,335751366,793109545,120895967,192036212,264664952,134555234,51274419,961102349,710247695,602828549,259112858,286949172,888529162,852840545,627008798,45485364,770582573,292000940,32377715,233041037,833396416,437765362,105158076,657687372,882221006,474552806,938445095,926459550,935541830,14063994,235852777,354180162,511941292,8264341,902337101,782643553,422878674,343665052,36881942,423170827,887659796,43377451,495102736,911365290,586302321,504815255,716812933,638230789,216247245,562246178,124100932,84536200,16090442,192651060,526228843,898966274,912511610,225554667,92784977,104448762,500391502,689105849,811367599,525027401,334788993,431694710,578379324,743068473,960327678,399343350,269582615,695819457,456156857,808565249,381304486,999491855,913822013,618751148,355199682,804012223,446439148,427999808,557519523,732673464,31002668,377494499,803143870,752274943,835553376,133796857,501490563,367788472,549626383,698292526,616671020,57331371,866522775,252688664,73079821,598010598,935039559,973635626,167334978,205390148,416893582,381448901,909477861,514781976,926213018,793030261,471849287,829274734,6830426,670718671,369155178,519021448,15181537,968602958,520593986,791350973,653767936,389458775,896075347,949701433,408501057,188688550,208391063,998943231,370363469,654088759,186473784,731593873,957150765,62249602,205478239,643762449,287400187,75225367,694661878,769926121,7931011,496161682,536275344,766515420,985302108,925308582,297991551,986945914,580689860,764330714,805441069,485877674,170393735,524319680,906018676,318661376,946838366,752224903,989435563,289371532,398898489,870838356,87599701,163844294,758756318,771892077,39184761,930507079,836250308,781412781,414155517,879479718,52963062,188592211,841390817,261433561,612250197,449607289,378593611,503704137,714773805,856742951,38076769,549568523,24433136,549513333,841764937,657960238,135708313,60137125,450270140,788012071,560930972,787004400,880670414,811020794,274819659,235177316,257557555,710160367,386607253,372805402,497050060,59798280,808019769,617749308,829203192,959210582,776701271,551561858,183914007,79861006,716134964,299728215,949515576,736442578,567955620,355718206,324276721,509862630,414907090,667693536,750492336,605139641,930738673,225066005,832061703,68670658,483072647,274656799,110861781,483483931,423520352,525306175,3617466,323515564,14898873,901815199,965461156,790216007,301406644,293138495,759445817,842555899,256301951,135629952,540861235,9901891,638382103,31319034,456244327,814282659,649904568,174248138,445330339,6606823,424421073,943529020,986785176,880094610,266075594,8685663,38632818,963156620,112390969,196520930,705024554,137654076,122707870,815128681,950241017,23617798,801366869,187019213,924339888,106562069,301364014,691695039,292145803,467870822,550842201,646532946,560186847,888514575,215736251,227563114,747639433,592782235,610882913,632598727,283225389,86351023,437344032,558977185,935972160,283235629,793173456,605138365,878880702,537664145,770341481,47733832,682513920,949021620,66191829,214713533,893991132,978241244,701798995,83987517,961280541,868186841,177920193,555929191,779330927,450062780,232686049,596959742,79208002,14757535,462751744,960906784,438755040,240781538,655699225,176469005,941665601,222757718,587695592,430393768,62848155,215192495,174214894,207129154,495795751,432116904,842949006,360701245,130637653,300484745,382951966,800862996,252452096,146433287,163414401,326210832,545509255,716446486,645468215,57889849,444784573,361621120,684974344,945413745,177031223,776695156,924972214,409158561,24596275,684862967,895156343,362401327,706524705,548806544,427263869,458834863,871612741,583683405,177495027,945029074,94913250,51895268,607216377,959821807,985765135,382848887,522980366,655355040,771717856,627965810,256700099,16537888,530374178,470735867,623020084,53902856,568950030,398878341,283682962,891149041,836479770,390664394,714133670,487606900,172226739,349215055,875165812,512439406,608784943,970522459,554892661,45166492,314307751,439942392,423791580,940666800,126516949,888694196,741991969,466762370,393584109,225734211,81527881,884951817,979328692,676159225,786518724,260352957,476180116,575444356,514335255,959222258,312011651,847670416,422024528,711175261,411112581,159915105,580916138,744781020,630226595,139402129,122828063,798060094,90781603,991260760,408082714,619716260,626513240,374912004,639943932,610164857,864491768,477734490,227029163,131114935,691150575,535142511,992121613,609293729,201673921,524436968,907309183,268353439,177228182,21794512,190731973,810894784,992769272,739036579,389534337,967511704,763372910,935012352,64128538,48190377,867018058,996380042,420780598,929753161,68986622,845206981,394444638,211765547,79131930,932777596,478675414,759426025,884733619,747276503,426912120,516069620,78830699,646480874,24672688,184643608,481124433,269694463,32077626,907644484,390252575,262091312,73937905,46525203,95454906,535705793,662143412,881377268,982662398,675891294,710102324,421115228,337611961,666348812,658782370,989757007,661061898,963598978,992380849,483437648,499147303,513117342,264064067,100528606,12222382,132403761,439280442,742802954,61777822,622855461,372584426,147727116,45830519,980801443,526910810,674897126,855862864,202744168,10493031,117682876,686249241,7079169,853496237,912038580,447630545,103524112,692267867,152968562,543830855,181050977,211757142,774311994,113817448,315902384,940443387,783835584,645350335,125547747,747052773,142993010,673033657,844437958,787409594,48378546,910808092,630134744,113218300,667710251,996509871,198532695,445856547,875973782,42306348,791012231,404889352,356668561,49851057,592958454,676537236,178756817,312622085,829348988,603168866,654877090,18425729,826747737,754265353,951185364,706318471,102788002,343502696,398938350,413394823,750310469,45343657,401449639,618729621,62351445,844313505,395397964,963648077,651995323,838212355,850847780,999071869,871989294,572992765,261470632,632797985,716621396,744901322,535930132,201620911,101951774,702903213,522918587,702823119,973911205,634509294,798231993,133293751,809566081,157704814,544498301,333373231,92723622,779596356,937707353,880866598,233728921,562694570,810057287,113083873,164088099,143264421,339290781,589770107,861136339,758030776,409520632,871102261,247847069,573305941,321883511,315100525,876785258,740717397,62002586,178261364,361744169,167072334,108847058,358148752,270768595,808184931,938512609,843759802,449236291,919289971,795370337,417679458,197715162,138241360,101933235,984052744,719363270,792909809,165780290,886077458,486436465,876546243,924956403,394761858,851249682,807090575,973521072,11174078,328566182,403828733,432932288,431710249,884496443,546693001,542358792,224275405,588680978,90464244,85287478,71991940,80222350,561055237,506543667,375246969,101343817,183578744,621734530,288335469,716668481,38057259,129784541,951631837,997143879,959061123,796051847,349673827,519850893,487255013,812018827,250027359,748273919,145868348,311430422,37965045,319918407,183170340,646916464,459226382,656807501,915620393,225465700,630787960,440004231,786806684,705030301,197806032,70788076,457579912,799280078,330846114,638035010,924660472,541776518,257961657,750123548,129833402,469180741,750339922,758653678,257063404,558443537,496983318,767625441,432991580,474236944,150240799,198718103,197817385,849529177,397143458,16882738,197880370,823543591,89403997,953685112,601388905,601182098,659537392,535396075,751685999,335583693,197315686,472399654,571059657,206323517,206374223,24002176,753774507,443822538,882418544,258135869,328173194,571707488,685650102,251646705,652822036,576206939,661922189,904725256,292043343,204291128,976670096,842340157,291200222,425677498,517660168,165986789,587451396,245600941,635857758,752784930,744893399,351273336,296056002,904292182,462569412,987074589,73683088,767818219,893690658,606969296,503490423,842389148,426933629,67110827,85649744,199203408,304017697,10237790,976233517,42315581,776902407,770922679,173572947,585320719,72444716,505389556,488264740,926372382,407754262,388065142,157527537,558833258,212612289,691424655,9685933,52158997,633535740,938767558,667478627,184645243,879040778,630151381,928552979,932056479,420309219,859747306,318244352,186259527,296881442,851718548,647936877,193348484,459219850,228153444,966312639,497165300,896644231,311823762,963546765,143186218,992846370,378428503,421881945,174172642,628890499,793055267,312849373,708865812,391435264,917729439,749970452,481945070,591073126,775686251,418763299,765436259,136951135,547038812,746455081,542311913,520571978,269289429,859118737,140981392,869786499,191918239,255591316,706147053,482824952,124422990,783745646,875740214,953379459,340585243,220658798,102646316,436587005,247681674,48484193,949686010,131497075,332111544,185253036,339425941,728434345,571827032,664209333,884529072,812848625,413866365,586092408,724535855,695053701,32947595,427492187,726639656,239195781,382674583,397170187,317037048,285394649,28582444,154393927,845943157,667189694,505186376,152001205,69890279,700534095,464122047,132970103,464467796,200686423,356022417,687608388,732185599,192113935,640469456,46307778,71434413,456508991,476217272,262199818,258100938,24606521,552281656,667779321,504120700,608468467,197773949,535176362,479608772,882267847,31488415,543141118,173019967,364683757,570823918,225113597,353992855,803060273,963166573,703190115,499484075,268366685,359268854,753396714,52876584,927348410,548917903,392543513,934116997,370072870,870300660,422155840,683695309,424388172,178019500,289206458,76455177,953413903,151115141,348706154,637376528,475236070,515932608,218807011,479339192,253955050,105195330,603154913,183713770,588944977,731527770,670286984,923559625,77492802,785020458,509231478,120485872,182401120,272232947,871378281,217005366,542808669,427741951,360401189,874219007,241901547,23859185,310819405,61331253,656177843,682584499,142682598,895534961,843970673,212037472,693555255,509046092,839250486,654124990,630406427,870528465,806739311,738511194,477092368,647782711,621360480,604768237,274910334,552344723,5072231,499865159,984109026,444172667,676206831,604301647,527350123,430214573,610482340,220636515,550505443,618958227,713192165,510024904,344994657,194098951,700401204,630887290,914590490,591741284,952721192,238813291,314387534,254911996,79214472,650204897,847889864,547806038,456115762,223821335,202406119,560949839,803053119,95571707,399911447,43842239,565317566,622096491,695089438,815601030,595672301,392268544,716146722,470803653,883834020,970847560,701765548,286157300,62924619,748525139,103577624,943337595,73155459,760843757,513708679,705977475,366623856,579043914,200616919,784209559,429366696,320469284,192143620,311619636,799020161,220053335,196995147,717079613,427586579,388575636,208859669,415268595,590869920,328211133,29818295,379537630,427982953,721932372,451089583,944258357,449670675,8802472,462535856,374221990,544518804,614939751,664155080,220791023,646747963,141730058,600567676,548746593,42006939,506928919,388337441,805528704,433753194,394583450,26629244,587712934,563865967,649227328,563795660,286992375,550530692,28451011,901274004,539503532,849292216,808264190,138679221,66181290,671917361,486995805,752205886,392618571,692021192,837119478,860851165,378477125,938792542,862795395,801355905,499947997,224446091,66286805,756665739,126387897,212884619,595415220,576785178,781865583,149149915,496972965,457513292,153414755,858918106,771554527,419538573,308555511,641992757,229520170,619989260,801167848,923537064,62456999,805429262,166156920,2996241,238660490,402147108,817778157,754301442,527076474,830831377,734932704,423902497,896820147,99592025,198462893,846713152,812178420,139241356,604331222,338794956,994147529,617404366,884982071,105606778,318049457,674176627,402907225,472915616,666916973,115696169,121522052,346201588,265420476,241426472,413971409,375509601,734351173,698251107,168990865,530779350,987373229,846153091,181246339,435735688,811139917,954497675,533565947,306560157,883675041,403591046,594079703,447723377,160233497,699890327,481446190,340177737,90051617,104042955,903427388,399734068,950080702,397002681,482815551,735449742,442518669,804685851,222025961,176726922,756802312,53240321,996490375,278888697,461820122,941150509,535695007,184199036,119026832,617381930,195032511,629269426,153911428,810652848,669186940,449059710,565078906,63503115,607333641,65519100,62520163,891814964,685913413,690853830,843473121,227903954,72685350,861825444,614094701,279767975,843394998,649833079,228462507,121017706,119912336,235917690,618164566,67439665,282252586,258698732,802348389,33030743,451131762,257667573,796526681,82324688,821493618,910025481,274484513,783760658,821157014,879946706,427556643,306153549,47759392,129436233,615242295,388269609,510647271,415237161,339943817,714607725,5403790,473921077,334491268,889077548,344974702,659147233,858948144,220988141,249775464,777565725,337626174,574899167,276312473,93806878,91766178,888726234,429774383,884927249,958938121,841309991,139074064,761865438,320014750,289049382,667619706,49926729,375921454,673654388,826913537,559433004,806631585,207537306,941870265,668193961,113905888,511181923,365504016,29332193,179733032,689968524,33818359,732032382,366769639,440841737,590597302,711029776,641907359,400842032,119609123,877410219,366472486,830246618,126457080,102061641,938917340,577298030,990630671,235857330,607068700,523329816,773185738,912346756,852868708,626880520,258242438,339641582,677501985,616492245,975155276,750076618,507379511,727882452,634604422,160799383,553760785,187170102,153389875,172765314,242365684,103080367,960917262,725618540,136782716,306935868,332251414,302827560,4534558,599731380,512070813,498370165,628168342,780047487,857655236,932633002,236247944,375334199,156553997,427961739,948384369,690781519,876343048,740570290,261355178,279373818,726386489,150264219,103475017,605507994,725013850,160330044,990045725,285002667,885231440,273234191,41226453,798600253,176854507,829642569,113344172,828579146,129645139,935947574,389423159,613816075,725641575,646889249,356863614,379165206,964162487,772991295,102696809,83348596,241606638,210388072,829761545,436132480,216201543,388347211,297034652,386171361,70350523,777688829,607571964,693073127,85965889,999706772,175782562,359112370,229532332,735872523,784025234,967205006,844390165,426559001,671283170,12556703,971898846,261302708,662132944,465308733,970721821,880284676,177954132,955699292,397936773,692351474,844663115,662969474,485324703,708373230,152037471,417568351,311562436,418736167,646330711,624931158,174508782,751386573,992294204,32952294,476510762,631071515,301909226,162293674,447679893,89187280,286486730,743712692,492707928,673605204,631966861,531999259,229362730,129274509,967869309,109336746,426951290,308759016,918220516,886049562,642630626,606432014,981716920,475748692,812953939,440652169,846148060,479598670,137167102,862420932,228343608,905810535,33945182,29445612,988773226,124888137,944000876,908020561,475646924,919103029,153527250,712325776,514620425,56512204,169752547,515000856,337176629,917358580,782430354,506382267,985688172,266225068,135274447,474138818,318635774,527702092,753878886,497118316,790981254,856316321,715127204,243401468,439797950,774130813,58807987,445075727,253345427,962833228,788947732,859866028,659618817,973963885,941852995,253924284,111356119,506584661,133781686,977883746,609409996,217337620,15851274,838212745,935170426,539815132,571883823,48322423,231490064,402695197,336135665,365023505,893483072,320104217,35182744,37458171,65053925,218779454,607804935,93952143,219582073,873502930,784989166,328744560,6205386,668962822,870244124,908379624,424809034,706968776,711820257,954809493,637057553,879389526,467574501,843444928,575788170,698363325,538204942,938436212,11976087,907584229,905416357,526113975,341147043,469172221,195494350,922522072,515773557,930190105,934808202,927113914,772530198,465422090,279076776,665643551,384601289,434862352,357607828,793915336,574493776,922723623,198214099,246041536,710748361,79015603,49485032,825069684,504870388,567309366,687355213,914537538,142564239,44249321,718758238,892605190,478721229,434772407,379838174,302902597,913462671,433537235,792380351,371467913,857463587,847013545,730519600,409906301,694948870,456102678,370654650,682494653,789667529,837137505,47739666,552751410,569634310,560626162,149605477,973234220,147296732,459483329,735640021,288530144,752954645,364664456,880109840,658787517,159947055,841126934,795135335,24939459,374747370,53132679,919320475,145105089,730188285,281851290,133658085,158239624,395277620,304814744,753250845,184935586,153256123,724572479,290022686,23078244,946851486,469742398,499880909,981339354,327805000,652554592,356193727,859016057,61840734,768407729,561904805,788865026,226989488,388635589,353446729,78290734,73959268,827087172,679400782,697421671,206161038,530950509,111878419,780343086,9401845,876798512,298197704,751574568,312827502,605792728,728544474,452972411,735067677,27809658,908703755,957416164,456250770,870056156,221394430,169537189,138164745,382800667,98731449,863423187,331122026,911360499,378888971,112087501,931297153,73858829,591682848,936703850,571153770,307632926,866931411,675253548,785654430,105570264,601897938,295342893,277254187,253861857,825936179,955263670,863444231,12571252,517584217,922762502,171163720,519208521,934298448,392893482,859792948,791314479,2324107,425485280,573027761,793180981,699339825,197704285,114064034,882761520,525188987,352258399,158591921,228223744,577727842,497444636,799917260,441665280,384163823,616538328,714985455,606302457,257523249,207376543,728981296,866240522,985477881,429098309,350421686,24010149,723930411,320259348,406539069,472932965,382231923,116812682,284521223,291869729,134697644,276439368,898610094,194470465,522279580,388612777,833342687,461123050,713766610,356357286,666853884,146054534,690711667,726069790,163566060,359279748,521333801,987127921,163516327,816443479,611069314,835224770,202559099,13802093,845225036,761416117,519420361,768359526,456400279,871116785,701482091,61038050,440033230,644995589,152672101,527104927,453373572,868641804,159175001,478346239,928308397,726577447,595954195,488684548,499735113,257036062,696849821,841399275,796094269,371078262,200339798,39035855,991218947,286915617,270073602,265738012,944318782,593490283,27962583,138443278,447633219,571308086,983897444,947307235,185124736,694727686,808734406,764577151,171514099,297681165,601010684,374185819,243756247,532895680,628338818,288692972,335581945,547315962,427685919,733713837,79372441,747567966,537249669,819332669,463162192,85348741,133032751,973678012,152544867,896016500,893948763,933343979,725291732,516201750,323711994,4955764,715569801,742067799,905556224,45075824,282584140,65258721,10821258,441093980,92338026,611171698,684934465,471407231,656313587,990167632,748876024,353382160,440277781,964869659,384660957,261846480,763852824,271197915,300104924,644736159,506999404,292838219,961780596,654345329,704309011,520850047,661086541,892443638,515797075,621833933,588550793,54434134,235229589,20452239,843698190,382595353,68803072,302331110,482059101,856602208,912449090,782836868,717915070,876163,546737205,969161625,941089739,978052532,788410283,21637417,238832062,799665806,789692577,261882831,808041826,595679052,783778842,452690765,302590529,772683109,272994777,324617638,584442710,178322849,916503917,436462436,880331045,222286886,854165314,902841519,542848999,712588454,687723278,542254198,411562833,241493298,954062139,608770946,506542822,645763541,729455441,627476190,385977377,985329603,128767485,190689089,343800938,963013049,398551470,526633738,993384415,641341434,757778102,25424711,263562699,109914044,547734031,312181506,632714500,244077900,224954441,549086300,42803437,276505836,919073149,427077491,637392197,623330204,82491643,568625578,215993018,93161856,163660074,178832488,124087955,642078082,997408906,384000579,631662498,333599272,23186278,9146450,510692715,568326071,610055998,776362615,438844177,914729695,5579212,155140044,674993697,296196648,162296212,135585782,771136084,905039604,27250355,10902330,57501528,689240616,580448567,183798520,584155994,763830496,918063969,415436914,860123327,4037531,438019975,620710857,517393953,935310691,936350458,652933810,108166201,254717021,838766651,578110211,297122264,161513933,142068016,813118274,175328604,236880202,177838176,838473253,867641450,434988297,178194957,711345205,849864501,376796250,334502636,65760746,192154802,364665139,18281603,440637375,522543044,28333790,119203428,694252338,941092310,598319854,10745261,281789358,603329421,261353889,385147876,660182898,532904332,708844732,331937461,734907547,155614260,26965500,81416529,702286142,53097958,434314221,309996497,403730290,33611546,262870855,739870499,578971574,379966093,929443081,999303963,602668536,787234850,75306367,936064135,977197769,688496845,195256983,477542351,417079871,377274369,577742029,177404513,980327634,583677071,517056576,640631518,708879489,805535680,62894695,595664511,332571737,812388404,779658741,942064486,335893628,167197329,358479894,491007543,612890661,779679952,689904636,253336999,278620343,371248251,789888057,149049342,912304668,631848248,751602437,273356057,563164676,711330911,968382210,201161873,823282905,877999884,355340529,272037407,705670101,753401301,619249959,169713387,354500180,502261125,828818069,127957696,356290682,598682980,289808365,86836967,737227251,489364928,402516509,482667885,27247025,299364406,232686476,353990562,560169800,661198913,485710145,343717403,746713295,908408637,576013552,246980795,558385699,96650865,470613989,848850021,529660384,652740924,882066171,227805158,784099461,725325670,579542137,663899280,19989021,516443020,533274478,679360672,612206249,938321270,779779223,202830049,890713030,466780607,59045285,174181504,417579350,306813352,332892802,996020366,997409112,97136920,919173956,107404537,244154386,878150105,279007526,236061846,906587212,789798941,642466144,149849458,643110359,79453605,32484311,840717495,171946073,913153448,615861679,541677868,955147237,695453787,247788629,654621383,684095846,666908694,863771718,730329282,396811286,732726019,724198053,929353732,850798639,582666304,998456410,841578171,695631877,520195833,490898042,472610759,808377280,375998947,884012641,99754886,451617520,118229153,145697836,397620199,351293222,383430910,848033608,42648166,105573834,986671983,447479418,501872849,545090887,744467435,616184657,558987255,882315864,319858016,705622429,541828974,175441691,424211646,517736727,301637700,103063174,847424044,273788175,905504751,545919758,578212973,549941108,826902534,797082592,99461489,855480423,878817983,306095917,819900440,584827789,724406483,202536633,868182991,299426620,479363599,267451955,513026284,732436566,41702584,397384173,794933583,746860671,772837952,258059398,500306772,972570470,629604993,578820131,849870064,281734709,634880960,807145677,667604919,79466003,188577198,888052060,349561531,382827997,196624888,535816530,638357181,554926955,106556471,222277358,747327164,405325440,22201634,421677514,391400292,619558344,330555734,577023864,64194471,703650259,677716371,131765253,281669338,124867831,414344706,369038508,603210693,165471764,357685849,991888913,511522954,382258712,643530117,27113254,640665893,295801566,382467765,766234858,530400395,165709546,89532349,564924291,6244531,790752453,883923231,496870526,316651458,612924929,788248302,966351751,323400513,911478210,569092655,943879308,422203714,965523746,562984424,64022586,806190705,167496758,641805918,191764120,295850998,375417589,809207166,975411321,375831846,158385880,987281039,550957028,593983760,805398028,39828354,132308789,818953620,246552239,365293586,304977690,844723195,24991068,123169971,512153742,469442084,625537010,243830985,579082318,353164745,305293231,627043652,730121496,442351250,52870137,238325162,762372626,598122954,314344798,159357364,610825037,455649989,199640835,580817601,613661415,754476177,936752510,109748067,653115716,712255458,401863929,640516390,664852079,401302699,254879859,315908518,279849270,112849837,953629181,995921890,220350355,549745687,427174515,907809848,20919751,111232368,276049483,481628247,357664604,586618352,232879139,237347783,567933790,213482734,555080147,473242178,657828545,370108160,269452828,860964504,510731579,643413980,625358220,574859101,363078768,103512628,816503444,599387487,774433068,767168299,920746951,415520927,340801084,820009054,743778893,288321944,741104433,203429562,690390373,357767917,382025003,832632768,832466060,550533818,794618693,607152667,130682746,944415824,473084480,580884539,153551990,566800058,190993674,480529763,619221763,109524653,723282101,22936687,20462711,595445807,883342438,284958572,401924811,414775488,588064839,557690363,65322563,848430476,172272590,615519974,524496378,768499263,345888790,155648476,202614185,566449064,73984069,21337723,225372443,828662486,82036917,715953250,902452421,99003514,207539752,29686005,586158854,398755500,551822239,246818291,413785141,92594693,94815105,703404793,770710501,108204816,321819180,915025673,549339806,447557876,691203951,298179857,267334611,280167880,442528720,734913948,611020569,200461785,57147134,138272981,192983449,61724384,131418270,721246983,166256437,602942736,789661974,856055504,993889285,32943987,38870262,889783590,675882966,186126058,147392348,267077975,162847064,451272139,347767396,674363424,6561597,487788186,863080357,776253077,320940847,406959622,977166986,962793811,761803083,558621740,390311319,665108584,839874035,395475552,982250578,449222169,245474248,888772349,317351668,712597707,391040573,532191613,542430254,108020254,236575508,352573974,412429020,761860104,765472973,31680253,656728313,728796173,431308889,393938417,481593201,87613488,938855903,968748621,919118133,450291598,666874298,305595859,403915275,414246186,407731775,858108781,87948805,724866802,486734095,439327007,480352316,234598758,538357265,602781913,438408161,649404278,693105091,230529754,233390615,954418926,60657938,99032537,380244989,786706427,276414103,641838071,449884631,173088613,822506735,853710559,428092076,347803147,823991279,765585931,323141307,989116973,543175492,34269431,527565142,362203788,775863907,815000041,752575968,150027644,521604403,664575867,153380163,697285986,453674017,230576213,1181919,380124291,175003433,658105446,839760262,303754046,328263577,208327180,968613495,3519562,129139485,629147239,88805630,157913059,293098095,92022106,760846725,668078469,319045230,6669585,743015403,154683625,674288556,348453602,986828487,961732412,367219468,996543718,103758602,304513366,136051729,186177115,163413509,586537839,225994947,599064389,89439754,793296950,692184861,235611153,266496256,224762201,556601693,482947678,947915775,555939991,157633548,765118763,82831052,865267165,546073611,825221959,303947129,733751585,859320546,310021265,49036059,697259756,889918958,386530732,419010310,405377320,921083875,724093996,664122095,440211938,496103772,160272802,383005149,545216551,656152483,341765248,456592703,803534566,558626205,247698093,139054892,222491365,59943983,310424314,892943384,446931163,216894848,408033008,694313587,60829767,452291139,644544335,123964878,29123779,668630747,702083790,595684217,804488833,195320448,643271785,370416330,56613113,73544884,715752792,318118026,718162549,449997356,636794699,931221080,812527150,339549486,931155348,429196402,213435547,267552028,856183034,675091611,303823105,12310835,500614708,573374278,531426335,386541988,152968393,827257032,216032747,869439813,140966325,243224305,939310904,45251479,785252086,882372071,883417183,381177940,688392972,543638110,132979153,786585900,708763701,550948086,624516180,424267958,305036542,817893120,629894705,152578382,982451184,19082850,604653613,357978737,837021256,694995689,480638298,695433963,96717917,749491387,397508095,790904007,969217436,964081954,276903491,459828375,875153999,465360195,841117767,682834924,80167580,791010863,439412786,53207135,584557075,320961177,199570703,417365984,268137477,955591191,843585161,28755312,364078606,341342576,333972191,330757611,495371071,917804256,813833033,571319981,709023241,903020404,815931441,133898134,481814853,286964017,259281113,15371922,17655491,544707247,625212523,343134107,445448816,202042404,953365011,829658741,487289511,454231530,757080686,803954153,240051944,600189350,631455473,545993733,497602211,723605378,306687726,811251489,48476437,972922801,457106779,710628144,709155984,576162853,344024790,816376890,196429546,650450533,790567063,609123122,140479732,487008302,369417524,410474233,11813284,338146957,203188630,88102837,170677347,775550018,464573727,90153625,541346175,396924120,299508089,527710787,791032897,268564730,42565954,426977014,336755137,403212182,685513930,860705604,850541170,346493308,449478059,110951442,136671989,743900574,344735236,732703913,136341356,260215485,998541286,66049556,76863135,621931343,985266622,310981433,252356189,87419649,412550387,827098746,344850697,496390241,369977236,451804701,800828418,146286550,787903606,425723941,574942637,276837778,342477284,54756520,664519710,976015346,482419563,303072745,550977753,904426405,85264193,612955089,407665082,37748982,61475960,920998609,672794839,968810138,792910737,50548557,301565461,906655161,128234837,223760348,230026089,565798302,754632310,537260842,751777667,506880979,600136789,494985158,677530979,721576499,35405317,882354364,422438968,889433442,347294828,271092958,512493351,775370194,78737810,913395194,897901175,304137313,660334285,445626175,809645137,776420503,736085824,912571887,699437957,171929029,671923949,509305513,378349236,651277485,122346307,49591519,674514626,481954838,666347680,504895686,752117684,278636413,769505779,567601552,680010508,631200296,973446048,883371933,885899834,634569103,176560710,221166564,549093171,153813284,364504722,98760078,665602446,194151028,525242702,92538385,381755011,130991245,778507278,124865678,14272788,297724620,304489867,930758239,481089049,154931032,733649495,388095642,239453848,823842734,10444581,349741361,63335399,721524986,838739037,489711692,253298657,257176411,641917782,161128040,344875658,585148129,670319011,893520022,76081745,395731149,339944870,141815783,358925659,602137232,507679952,717039033,117698351,176692785,605620911,214618123,871594292,29550497,436923319,895643206,967674489,286252059,948972642,78451656,162734352,657456496,381774145,228053671,274601057,677924121,339345251,622719822,945162065,334975364,693638534,901314321,297672549,200281431,723205570,50355776,356163487,839915477,490168671,301725111,562800612,905966369,704232448,132044849,865196055,643432579,702922075,896763731,186411651,189733557,616494184,588079910,835637604,49607359,867079690,399563719,926730595,409191642,62016944,199166737,51726493,437552208,561678237,553396151,326755083,214644391,241145677,859679638,395101672,840272035,5395829,302547336,527213488,402371398,947772447,40460387,631014116,47273829,376527015,205088412,999591195,612492796,96886772,656900360,450759419,64659009,745138929,721779261,186265385,7844576,158488755,635839269,499216146,970953970,180478362,302603671,634629607,736887111,165986394,245649947,160545025,217631601,953310807,8684568,572232893,273648126,989391590,365358013,181862891,376076035,266483727,134241586,123990104,30983681,179596556,903950726,678607216,218442403,704261288,448391995,86255317,342155702,738094846,433821052,187167301,755669208,76747788,175173991,916407634,83540991,490093700,561315184,372637720,571337702,795213203,942734536,658218630,866202070,419477828,815139043,358815032,701061429,344239562,658886250,905394596,256692567,523754643,426772438,820004502,290500056,301444506,887680978,768335275,52468787,697010351,679253824,688908625,440122348,319889522,810420547,113823091,378128385,596393259,520104589,57322075,248931053,284520835,121037934,785244534,694617743,911694088,570282400,474362624,22709166,230096113,524087429,420452243,411633800,334702851,270203555,534168447,938004410,907880246,574229832,553690840,397582945,531081371,142455337,350359642,463641365,70522874,455850683,160317199,160954644,691602670,21680611,745122717,985110278,471362921,180404964,163499070,552221301,544873473,77047805,100813730,729635337,530399110,416201065,91901151,251742917,84948823,70360328,619934206,754484773,125006984,52456028,209935159,532292505,956160482,319215667,773037368,653017635,487766112,327234175,672767315,463331495,888171378,749618900,156233392,10537697,366419216,44104553,69336931,165236844,352871762,46299973,531477339,41417364,775044365,320600462,125980965,395192846,850377669,224083642,348676404,416603672,372531946,112600302,962920248,159467673,834649100,816132811,230736193,805050062,27564539,83243956,194762129,863932750,450436943,526335516,641386226,385057115,236867949,701593856,837310229,913838064,441748334,518067402,369993532,713134894,455384439,506514016,227561447,928439499,747660066,80936653,857910292,536118965,372855979,477553629,158859614,717036020,612910221,177371875,920614988,267855119,904937494,817679231,244709354,168288296,388272226,354465469,448813267,477006816,274207732,704675430,549310363,527084485,989736419,402272791,785457031,663755886,727428753,997462612,428652370,752489691,749790283,668794814,626392404,468315365,477735580,79469587,8457964,183635575,191476519,729948415,87362202,250262505,236313093,31527590,755414697,823387100,409436960,542845763,587272099,608270713,526772735,343601689,155136791,169618479,116916779,426422,115813795,609828936,65047314,681646366,679204049,396017727,83920520,639617970,126699525,302059639,236274394,393520908,569169869,402334979,735408329,174636318,365258609,12134705,598436276,254099894,224887800,820146868,911966314,89176212,22568506,44322479,854077800,418553421,200565557,47887077,38167258,993707106,599260284,772176880,875475806,784372658,125789906,926015584,263241596,662814547,927543603,521655845,811487023,221117204,180427532,659903398,354777245,753162304,913435497,113210286,290747230,273404460,380278124,500177934,807648982,436431573,450626776,708871174,987763825,110751987,937794440,878045771,113722498,899272204,808941047,280746994,727777315,112355986,938779698,607279688,647531776,292546703,999439469,747531740,816751666,501482229,269017391,333044675,34562390,478907946,378881140,603090272,423964905,96756416,103413711,463501695,878746807,972077031,878121455,70097295,771555163,778515751,714265021,709181122,68932333,372787435,999488673,815926121,173613637,325590456,529982576,844716595,188643255,729160602,408965474,203355813,808010222,125687696,721530689,803243417,888503393,760548223,569136273,20328868,982368399,682418271,424299068,646818202,699893522,526681114,769602723,486617880,992631097,313072497,931738011,211135186,5746355,334007899,336459593,928838298,506138360,186941476,264032572,436245078,87901755,938428222,425600912,505894359,432286816,899291953,127275090,528488766,749136397,398685024,371444122,691263398,731718923,319232361,151885042,822189268,533107845,570043448,452688062,874884006,671046844,869349848,111413012,953377055,594145079,782669788,987070770,87658612,812401213,612678411,44813677,624621652,473825015,280525464,440493655,359736933,34254641,602103293,963384938,450477231,22173927,731978510,206379448,656241647,518134940,609599363,739238590,123258423,93171933,394618864,186397051,168046789,106955776,810590060,179640257,687150097,392957799,945213335,358515734,543366776,727244010,96020968,357373675,243813900,90829957,490805934,98604323,344396328,648898255,241392633,1113720,905283694,559844998,272094024,734328486,188910214,563835739,337776564,446607577,493873526,227864556,871081261,654347423,446513361,611383372,459240535,160431001,231124459,941308378,67690495,328193053,281672013,22206639,957646372,752437488,617674345,188070410,940710351,639551016,984915811,180188020,313171538,488180930,887839533,882228438,562540406,532304800,526631259,199396620,888925226,74489323,453351465,947411300,788564203,840687243,51253137,944182383,323664159,175399870,125549825,276196386,544373155,705403798,322167113,73082,109252886,719006514,541315191,516518781,155873634,443035733,867524142,183344163,718253009,240127773,667416016,950891200,698492329,666445631,653196047,506845481,705054333,465723740,770146624,152049796,940243019,110322032,952172457,987628161,337310716,2122874,672925316,736991198,611116165,745810664,953394515,238095528,671319513,129742674,159326003,293819073,257185290,684470299,313732565,420077798,455520364,483580307,920787938,45498430,720216354,143934963,965257030,854515136,201754485,319215167,882710377,952067054,735997232,51121482,522966021,385394847,842815890,516638894,277628157,785970042,579547568,800399524,360043058,221773747,132955765,164743300,290596823,734001533,39487451,597318901,41322123,32770386,998173637,828741308,233082254,271609464,566269358,290222267,229714795,637918410,697028384,976809100,625082790,185417212,560443453,338637098,848013038,303892301,999044609,335534195,700741370,948263319,558955995,815310390,720641834,720199038,35192372,553844147,571871329,740106835,56279522,155130106,28355311,667766615,302110574,607531371,348202759,28153049,258040098,597236980,892348000,73127641,604235512,36439253,686069722,37673850,776902894,228897428,523215026,435493636,370958227,678470443,534592547,419300099,614230853,145812527,752910039,345687844,33945602,845994740,718317511,395537594,513277302,131824308,181223449,225660100,862532956,779694590,124676145,657555548,514377047,740287209,516501672,341946560,537495966,78259785,371536142,359274132,151062832,768494887,67443270,472199249,148937622,543409903,483079474,722594099,877237931,220789635,644224022,923337533,845377124,287126024,564135750,622864905,86901598,518806202,39568124,835578564,386263819,863208844,479577616,267345079,456977289,373548102,9349275,700128232,64867943,840363993,773106100,486368129,790973117,166056743,712053907,60617201,650720066,80735909,183486488,511277826,186743662,500557022,577208194,272661751,778560138,253806232,102478312,332953516,194226963,366841568,380456344,812294104,765258082,119968256,779454367,28916191,265876041,684815589,66081806,721340536,924815994,155313968,650221673,619694263,159848594,328300755,934197039,792458056,290622615,58831436,717608066,130188335,603710009,731776980,204451494,606842610,280810714,567802217,844169825,597836602,83004783,950793744,876823889,324563832,551375853,779470571,909969171,707591803,898997241,33452772,499626838,8844973,869890759,779803414,648691559,765973682,315643128,221328971,311823643,790270835,176204155,553094134,458230773,481716477,341419295,933415311,828985444,732945258,567677708,877688254,243113686,961534503,601017727,250577348,803946132,620318594,984107353,979413122,261743691,117567182,331338037,977214155,328372228,162344702,455285117,6860340,553136275,896843127,585823598,670984387,821267475,652726919,647888977,633776261,37160358,321204169,720173067,537167637,414491555,141906925,741113291,780287347,954339076,42364810,968897074,345383775,196296909,488043309,880366669,651576777,435315435,975494115,639521813,647459257,412537298,13505783,74802694,514631987,957529938,166483659,171457274,982516182,619841584,961984203,253058234,55147038,967290933,598653393,49249287,714691832,633659711,175441846,668740102,391531889,872260053,143540086,437242799,759336832,835185940,492424387,58838124,34169997,38650138,335497990,686027410,340082218,729259404,85167036,704677792,715863273,5379784,736539120,21837290,500947688,568680404,18649062,353165769,743281846,329790609,803022825,106323560,939790055,855118932,395247380,710215084,671835621,707495924,954616224,145382418,309782559,380021233,570022296,740358204,832340771,579888834,142792920,589092762,689187508,504758140,300552837,133555385,842785059,639107222,837323793,263810491,195810803,821647624,426378577,699223550,689003199,656249640,929574682,87549840,696460103,889202159,775939967,896540159,116563655,216835057,162099264,675770938,77234716,451158789,563555059,639340466,936996486,160390920,198452932,11038333,279077222,366041130,93308031,561604254,813866084,939061355,673503323,169067299,125707721,28174435,399197699,678389024,441997489,419945054,882171674,354712320,152304180,732244574,200146818,218794429,241978804,410513720,228877864,167640672,187451390,399603526,70020303,176513943,367739406,163114736,298677807,609378713,22487780,354514935,547428836,35613962,454339127,494023427,524108015,565770256,15939085,28990761,675966,108936604,958223018,851997590,682696332,156189253,281446565,201939306,302523879,368600640,794114046,10011188,245407482,552736200,519434087,320195289,783119685,873325425,247461467,289913835,954404293,745804436,350678315,463521194,576768293,577275038,969797140,385197568,4453837,337394214,764253889,495945328,362826645,908362492,710787106,654436238,12228836,950450515,656446180,122144614,667684938,968354333,680755237,509080470,196181123,276902870,594732571,984547746,453341453,962600924,718494878,109028389,843373674,709694653,364692641,336546855,342293435,581272676,781212038,77385414,844730252,949300304,696328887,794183512,59302651,136851735,331528308,480288297,668491931,441318910,264391635,375415256,659972923,256529279,561805913,682905248,969226309,392237220,378596482,601302704,179872567,261197532,688886620,196342349,63579702,906141476,900401622,132665497,267899516,96039340,472080731,749859703,860109195,384106975,831311528,307315446,95858417,798244728,226045537,943911566,769617560,977665238,135579293,828948207,510681499,625275971,68127783,940618113,876263403,456468793,939988553,593944374,761203847,791926862,241901930,271111793,641809141,560035831,406965522,682281115,409427272,550790902,849628222,959503013,131164739,253912116,820154388,145116559,704236450,94652228,892822914,734825559,255292494,731935773,84624086,363901594,916807666,896295469,796983581,188133361,325126133,306834182,737051508,349490488,907463069,792309590,862097218,547824147,50527423,552469419,129186640,432893930,704277729,139564637,927343431,775883947,60661774,906931062,441855316,546876848,742733234,882463833,999218664,390767066,879062833,347196037,904571972,202518812,924792524,913103774,433216228,231516884,110931814,204767186,892020301,758498003,55632240,852626194,853208641,39201337,796591584,788632600,815499432,981290889,43954371,587594948,770181213,235788939,843711087,237226942,666737944,94412029,603393417,652172729,559300265,207410178,58695385,407605841,858452849,798941281,757273232,863487460,787288378,659887735,742526642,202003257,378793867,85464143,772799246,422553219,573341602,479946375,695467144,592803960,204900362,357149545,411780601,460015373,46177022,810443724,4998103,849888747,168690068,807520421,171341175,390408419,837402058,96470358,644921218,616492482,396748270,460562573,84686751,516775039,359195286,437074236,385430819,199471215,565683707,890472090,239676516,348591199,251220598,59754611,106711362,433166386,139950191,685355789,965423068,753063559,352431649,357175377,778150449,608294897,143969024,870055442,504505470,247977459,285118569,639750206,657535213,129015953,67320789,748963577,931759266,579707749,735872711,256093077,575383146,727208984,97087993,266117315,672173920,721198879,680053140,784775260,394836836,51237261,869519151,534873320,505798032,70184179,920885931,138718091,935138104,64225916,73657433,17554304,791798442,14707325,572153957,441576886,95420858,601842546,485861636,843971544,849396962,729506776,138700555,831196616,788578208,947957916,346652400,993829964,953057948,493175676,256190744,688454369,849398004,71861147,900422978,849333005,831503155,454906122,994345876,992758758,45374321,564416840,442153328,745751603,300979271,57774193,887695041,766121248,178679156,501292817,333625589,658978505,370603314,255397765,274270154,368842703,515681402,498556003,257347027,668949872,879921221,208621658,654651245,649848072,472732771,201061534,436739422,301068100,782765014,686269160,635093404,857519413,401924617,550387690,334378784,525295474,25948021,552728773,521777225,934866256,153451934,211065657,168820683,394652294,512638707,68905478,536143599,877958269,935582786,504060141,340358382,555478512,221375451,864211794,345730522,385228539,73838715,794136318,479570483,160133441,750198643,37063576,135719724,513636614,476173229,599783681,45660220,974156231,508910135,815742270,529643223,332651916,853220478,448484874,552250318,334941100,712397461,309729375,523068161,850764689,794087837,651854732,485082547,214224545,661273051,580813188,574042496,993241373,591440418,456533555,385100150,874318066,643792474,242075776,102660884,797703766,839523159,294682614,652844107,232709449,321268731,496894840,21991314,318705898,141375591,124309995,957825245,424932418,193977154,20732419,800736195,128943605,649469039,366411072,193727350,408963945,570034592,281456521,471974484,224620510,355638671,73273236,802723431,925788702,826774875,533853327,227555857,961275778,951832413,901421971,544099966,540983783,391620533,257475744,994543572,61582749,981044414,117314833,222362142,75598939,502511852,770805727,931285479,724055455,308403531,164221563,57855964,437725114,141064199,786152392,461216043,728451253,971910866,729824082,305917575,767807271,182712996,362581653,758162553,650031362,993650256,269349581,642299280,380152479,273112546,620883381,180406508,394336999,173960662,990874306,417589107,932088011,585627299,723213559,103335868,522320198,439026761,159841539,971261321,427604108,713981145,700113156,655705799,402643841,458898955,115863006,258098856,387046647,292526576,292025798,219485186,502146940,413593091,248743336,63381455,57746196,916614017,328447741,373035506,503531631,46902466,18488179,255826181,630007726,371712011,670915511,483391191,16098305,439262622,65883633,195950252,389960392,744939546,521697715,993543313,618896876,217579697,794416823,795043445,576780954,340439630,259732044,689064235,613528794,323885169,536188469,607648997,752127874,724872515,653630031,670933602,30038067,603781647,231999045,982139237,827262455,399202390,249451210,768358106,252142702,187910318,856458271,586308429,501559943,862727520,105868172,475099564,413414332,76559668,348707716,534257277,932272110,927209874,240442031,844689251,588897811,607854439,565482524,970439685,14774155,962874912,568767320,198285363,830844131,435629888,711547957,809562685,33902507,311162592,111235200,27029480,50101687,171692189,759367125,859710193,269912015,241500588,295267549,737764433,598659092,373101780,993054350,667068800,288211915,939779167,825257091,200140191,710827886,126002153,48299132,667572331,771312046,487849659,763639019,989099084,192419063,331175045,399479298,347860457,780027420,883108357,722251242,854085129,926352119,858226544,945784468,93640950,21582141,271672477,130639094,845434739,896636845,226192907,509995429,517116109,30534644,452612264,491872459,481750868,154005272,174810002,78343286,836965177,717878295,209914299,771376396,587363625,19629475,834194252,775877013,84703971,757745999,656653263,830147872,786385888,742037812,632870462,429539192,19721526,792936592,124913830,366304124,303652978,39479117,708999396,540486612,677023529,139414087,687370347,439051260,322198716,795155349,495140016,545679751,715844493,898967914,953812843,964374146,796754548,223533222,836900317,177890438,470904957,22812032,685406949,298995309,584235407,662690924,377134769,821220798,709110485,861414494,253098874,407322935,913995520,945081793,128913923,515911708,110929745,85567669,905706543,969884808,55650951,406248797,872994309,335672315,389289726,548800171,100265421,897085779,423942871,17033924,801821408,231137169,814621133,606411059,389003024,266843536,590861206,645028699,883908064,68254637,174725051,549066205,184870169,794928408,332263122,835437140,584326212,126150821,786069224,18054001,946143754,583359531,309909369,148241648,672771710,984978423,183139644,220648948,711860564,639507861,988168375,655328654,723192081,856234001,225657874,416932069,408856552,323186070,148611545,190440093,22822661,499565480,823445580,20432976,879388250,648225967,179300955,115180248,341648981,230389453,383723097,584726049,298168678,182197077,320184470,399510789,514820618,886640983,445934109,721423184,769225495,439972079,445793201,938367920,484590540,910326390,150788460,529913185,927776235,138576642,471264914,501101146,474411004,897407936,437252502,377612464,451470763,416482801,510185721,428906062,201192675,889892421,218565480,509083180,251008259,595465945,240348143,492772579,902429440,368533515,436082982,10772773,297155571,214966812,122506792,945566685,855862239,890434028,259219731,3121148,997383103,189117447,712572901,757718296,12636393,918963182,8991490,520702503,938559462,741942020,548695132,740709088,214890626,204171199,571831745,445774103,431013474,791557538,918672570,538272442,710695519,590912697,823036267,939479895,397237871,61321892,19273675,584404641,300505567,461846287,128898737,227333678,751868761,834113785,563607231,607878072,612493536,924884692,937603456,293070111,435612004,312615589,772083543,893318033,79560794,247178381,756710277,814685082,764949834,680544175,851179595,308209256,758027394,880870878,974184459,866560176,930144485,508422105,173435669,947985048,469092307,881763363,39938678,494941081,395221711,816340373,951157388,912218757,348537262,505843153,435818353,652817791,733033378,956140759,985451786,667411621,895208710,465169766,454400079,978586020,68752661,601134189,115979080,499203155,287956828,949970329,612155370,440467938,916528907,75693095,878078798,368129265,636648356,655755239,122393776,715642934,477649616,667073150,435904554,795806862,548786062,57081765,692663819,187205878,32291245,154042234,70745720,277786182,129193854,451128157,206958992,333316630,372848943,275575500,341699386,120751631,704502060,778929770,363482856,867070234,103558099,465185707,702565980,25323306,851494448,525906472,416009705,298848131,588452532,663738440,297677459,162757732,89729989,479356327,924785,398304201,787625182,842548036,598227226,993281678,695789684,710790865,376809755,641895152,87585884,487676489,259129684,45901412,381051003,235875814,54082278,106191202,345207702,823284450,128073997,609153669,855169689,26957210,381104156,391395786,742083711,551325829,503886461,877898800,329225464,582476815,908240110,724394706,650067972,193936806,168468738,126914850,327283981,694756582,656766795,718055685,99163215,853644871,567625250,610927461,174038540,4284302,65319,530805149,401663605,432355937,71780558,750694303,137647437,472577239,58346470,217350257,437661780,590472677,319838450,305641879,436611477,80111207,486655307,328413353,675028849,463213405,389821695,285479991,150451804,878222479,133681518,392478983,480486156,121858385,495207158,664182078,939519108,308067041,13250886,902646495,269267823,566665409,628875001,724915906,209349110,240257554,984220446,201478021,597560921,495654541,577983012,517426380,722604550,468856779,574864522,593805433,581997475,944918407,851783026,806849726,870647730,844626496,532729254,509795690,908872837,628915297,947981255,715189592,25024446,947271100,147592944,750871572,792070665,642664333,461918765,275265522,496660941,870170620,830056888,957045141,199406422,439810,661449997,946385970,697180259,579412060,432265979,157200988,217658740,920116793,800963342,544976828,211297501,930459883,103855624,903616798,22078694,20340421,911670400,818293035,550815446,636705791,431370700,185367277,943729250,161518389,10772915,445300177,278435807,827037228,852177914,675400928,631934363,180305796,355172345,740342098,722583253,84278726,140351160,291827515,934221305,62121420,839099627,57241306,679437605,989882225,586487879,863769484,377447155,270805843,432530129,286875949,539854661,903850367,964154446,132140398,724587744,900545538,699244153,389827555,603213113,561883833,771620912,959713188,293455975,942132154,36209312,759689209,90292570,5369608,608787776,402389053,804671494,261774931,777244648,161671645,682005787,218922866,145595999,632822722,615076111,60400606,911602783,635937728,200268167,599948160,557236153,636346631,212054887,850428787,209859369,285152629,326972526,776096752,762318504,543239774,797644565,31931619,780171322,314190531,649913886,158003871,119289108,57743499,567747755,177021052,964664454,15337497,38335945,290274962,408221971,401159767,42356248,576839203,695251614,283466976,21918427,517665424,191087239,262442568,686310757,84821890,704278945,206994502,474855578,603556078,137422463,439711342,171935307,367785377,180118194,615875182,622246939,855842587,455100332,548318194,532225442,356797278,834057765,295707356,550228800,498181386,646336409,305430721,675651217,721449310,41832220,237258260,939231333,764568827,423837891,909415557,850553884,435511584,332879618,738842919,89390230,780301793,960497416,82382273,833966810,572387150,937779769,148054255,745661192,536268224,872681147,911240413,261928940,168104360,95545580,277589796,608026861,459541118,65499425,932149248,142452129,287248164,797279738,264022503,892300745,775167820,398179949,862392042,812950043,997322129,571576688,238503647,296930185,557000198,156390660,48064481,67498011,854695491,254333474,223113449,507104026,578748604,291433868,248644793,846318317,416992242,293259346,931964890,587768104,968452454,890431358,244500783,857480349,636473480,857487651,240436211,817540386,226294936,839009922,387608153,913141918,284272695,959573613,701903432,968263196,765172834,481013306,18596511,267211980,253658514,91770029,306763949,874789850,588175056,744980046,947098563,274203804,721782303,755168674,847155342,118083735,998878592,17845493,842821869,262485037,3657268,667005487,190949753,130914712,79401350,626630350,987047200,814336045,364844008,101713611,211623574,555120974,682625425,904095890,814251438,591227555,52517350,134973753,949023865,230297159,997072075,872605135,168771176,167263325,21982170,688778198,498981905,641642436,805547581,217994858,564477198,88713771,309482707,386631739,720010748,505756282,587500386,988549425,366363542,831471546,582202991,652710605,182800603,352097976,631427435,915687347,779368105,26209886,45274527,615977557,158224408,438503606,342988222,524649749,752687841,109561910,380593793,536911176,504335824,90114726,901528492,796006591,992460360,680171937,8642927,277686363,941526576,718808719,794699082,64104580,127184947,435809784,521280119,101978205,165922814,888778997,867578948,529543072,730497338,129790029,25957923,437972614,594221529,10944832,362323070,571978362,347787857,771581340,786664295,850667343,597329689,355554290,741603187,796593227,334353690,391949062,478255934,261182841,238652137,552096208,175373804,692125305,849229358,509588252,757033312,644027411,253654659,45066607,506235806,831303395,720839041,190785570,778043328,433579540,996180198,356501579,939713884,318771557,252582353,176507676,38790592,263518135,797483898,132914812,874915547,991778086,686346732,839252507,79431229,299513911,958919041,922542202,844830532,817556712,94340424,940217018,581907938,771757665,771759809,717759565,462159149,949197779,484091814,706157092,390183738,633076378,183638551,236272850,696002465,252781297,498824874,442612254,582836756,678863848,723200825,197666694,639204822,685775809,645410302,374438384,439577407,164093305,531214485,585336486,815064550,931466452,6303388,199037835,462906037,521473211,756060285,29136342,634559377,699369959,60813892,406824645,216742186,611547407,890820082,714078741,168648991,538167279,529353376,112000705,867290946,669604151,862358600,685439392,790821035,543169541,921339819,916238069,712135248,244840014,997444331,722073300,426358056,296912170,163693130,748983299,747888429,923248622,357161877,146954839,2764540,880829910,937594915,513421923,314754196,184695180,705415822,145786376,584274722,760437914,914348281,282025625,284861532,160559352,154909831,71642307,36851642,930960391,468072531,708236180,523682292,612834533,397702410,240277097,156684868,640072772,289027168,639057227,873097294,624990159,854145512,435589492,872588194,534252487,828679833,780481647,70637590,402613358,929324463,49856650,66578754,733548133,812641041,282652924,306119943,337693988,967431260,574586795,708883222,613270197,154118607,416464848,462305853,14455328,64299396,854297929,722307974,741382207,557030286,972264717,346447029,822797021,335292761,359239206,476836151,199307137,802552699,529389802,40705378,279909599,637992772,939602696,766789648,413518763,305052414,898913355,176703396,67986608,757167538,975859929,496172257,87069582,692892574,90077206,175333088,287035373,914335128,187795724,638335285,797479256,278588495,187430124,675728537,634055760,768279964,286007065,793199096,712218870,315395332,127653478,197723401,729233007,908741410,827391220,517760150,497837169,522181433,196468998,58820522,675527092,642487545,880391688,298431012,603061648,395910974,891719282,813936204,297246437,663533740,724986921,274601706,802085817,145004196,640530688,741144904,87395571,636437574,971505958,908368542,668592554,852804503,776686583,841021708,987291399,187339405,10477533,997728565,197281302,390942001,15357400,524396887,223847134,763550155,216884853,791310388,572841234,195223265,970333876,953555200,23661116,548992695,11420769,499207930,959785370,701909607,896506799,888435592,272073812,337621080,373834359,213280551,952036878,259716567,178658863,218553987,288578098,529682630,801937700,957420350,624220675,284719882,848116046,129314313,978095507,992914664,861744483,571760665,98501359,864590394,378462076,703217121,931584924,969529365,461582946,547990610,802057707,435923215,430013472,696117132,421398304,386358332,594558483,557976187,388999821,36588433,716579440,850467310,751006761,857974993,462148049,640304510,14806628,511149350,134095703,91098208,245729141,571061761,357915926,772389283,836004959,886079217,895467423,816481391,733914572,737201584,303019881,171206635,239531484,277628307,864908442,970018667,394712424,487521180,587739206,538246304,975026208,971793410,385330169,105465470,432680102,665757368,329509654,244310653,756378309,423568488,793648151,647472026,549693935,239652687,355367952,620024835,128834307,327926998,123259435,22677623,328799045,174640706,485026527,390884909,877592372,492863467,547857513,540588022,581591735,834387376,657937816,458520168,360537616,391283416,778531388,581446206,536338246,977181206,436803484,214943570,145652381,766289855,656652966,3613295,468108480,419741547,883224441,612829924,972081104,347931761,39148008,856814869,891561034,869539619,309155072,859423504,990231125,621844969,841800137,786762325,883479353,813065999,92726630,257226324,902615578,348261780,794272293,150986987,307064294,10643687,75104208,60948843,188394381,859108793,796554273,491183521,315962546,896190199,698900148,293664036,385428892,462868967,900065902,204075442,698550611,173475737,683897762,147900133,585781922,469355064,943447783,567384662,813627785,78879951,742334771,899984358,588155940,920456021,778498864,363186127,190272684,703670819,628457422,822245606,732431291,315036459,221062336,397221611,225287120,66523752,108836931,677208159,134256630,881239899,890611974,205418486,843493213,491299204,463460621,516621405,109499996,88647917,742975401,479968985,157918752,755746626,322806058,925938266,950492858,138866001,594132446,330264088,154014079,139875080,722952756,240909420,751837772,512562406,194386053,864232815,948407570,818419175,2206255,492841276,747703923,41417212,696538591,233744548,313378063,348170117,526035301,19546255,641301114,447694180,748620684,303825886,337182923,220021200,553103182,606666420,966991734,871485851,959166114,47175392,60813862,394179811,924538083,809829539,946472271,800409805,390228801,190355306,650490817,640253617,829628831,118684483,392589620,916329535,761761304,751432509,876414685,900990432,650994812,552409789,837758882,281566026,376237118,737360456,571852725,653756555,892289651,863022151,292696126,509716658,491571681,812779464,535811188,449539393,185841894,353939136,426396645,64350744,324676552,948753710,44454015,179610892,908814548,897913796,284242296,317149607,360127567,572741500,635260558,10689358,606281229,980952456,382101194,10974366,99436639,694327764,830097302,921007707,148889839,768170911,464195444,409533053,214613262,414651219,668372833,948576074,336639452,948841293,253533551,744398774,661625774,263128538,445732475,699051449,999065265,863737064,708285580,727910263,693434863,324403711,314960258,874904816,464655656,42728788,944554178,935760521,32682942,226524216,321534052,219969575,63871806,423692101,814392677,832777748,393386520,331897039,247381899,911275566,604450913,933332327,460048858,415883190,38216994,182653754,967368374,382694521,952046023,578243781,260989550,59824283,520852935,596329913,516516819,458014931,614663587,122147473,581912905,953338545,542975098,50144972,613098606,11099411,102321457,954516357,901440493,386955984,896856103,897144933,72367860,233788363,691106393,583514274,369587732,360878776,172839038,264347251,604888371,923415436,838472103,237705395,777880386,316428279,99392509,908353262,245224607,539801735,596842274,83408729,459643218,7518940,944950129,175926323,74152010,81306648,275173038,800512710,973241498,265703490,690495786,135079119,758281994,249951250,284185889,241835586,56401782,109706133,730562988,867729337,373759362,607928385,343580231,427549760,123308699,35921612,689132609,771774015,906968430,32892923,713281698,412682059,646782876,841064387,605295209,543783500,625369761,205519227,822380188,206632568,251012971,745695747,196300166,892841365,78773177,985566260,969318175,683316655,837068473,791072210,243678148,140865842,72660718,881380838,538063396,37493481,509851565,20418379,526479005,732037785,477430234,527605318,73146344,625319593,160562077,741527942,905030870,41470686,754526713,559130300,753095530,631801599,369037368,520298555,711950448,954644154,707617184,358505846,219872100,524866216,998245296,718108439,324623640,406072672,272238275,842032162,892682221,967762635,915257425,718891842,137337068,981028853,24852099,518644157,416154501,975145192,882970034,762967064,452960453,714077274,368515991,92093515,883582495,350022345,972127967,897691824,862484418,50453860,765972770,776675487,220297344,719230475,734906146,466730578,109036935,488160229,275997032,510766425,986955570,629087520,994511487,465628615,227215044,384890636,532943426,887125852,305364822,923931376,478140246,642843524,120444978,16297668,476969862,699673778,245863129,24104075,88520521,604658106,388678943,202922461,399924948,557217325,676758005,579574710,523624253,681361313,510323340,149758874,769648490,826092815,350926880,653845897,797882992,86289504,773885190,628166051,427387195,922773884,880031469,845125135,504637386,935210436,545431825,885413394,830118372,707295076,343590766,892308268,432359632,307563805,846043970,676220080,721974176,922163550,377672348,74153659,487575882,208818326,808095633,617221221,96566640,662946818,113513815,322351567,784207463,26105831,285536221,768212505,469063978,965662275,271136411,349917103,922504437,446740386,870766859,956130225,456780899,243731664,938994497,676045953,411520052,829672919,395089552,856226046,826369624,574373992,629891191,387571669,646489575,715345105,449696863,483240107,920528911,611976389,385374334,208293094,938905158,891445399,492129556,233007161,311429379,909581302,672164598,859378737,30992520,546715355,859716820,581253696,119594751,383655730,806115305,749163130,11762412,900573967,546536418,365537555,716526815,687736965,552330389,419599286,549545254,813944411,179530342,919337293,326991489,470628052,360418541,46906385,623808890,26896809,741082390,898124611,874694677,655784677,673632844,616355535,722182536,396036108,558147763,869719621,31478883,302740186,559593546,182027168,170526069,321092190,229894078,276473519,802462107,457206092,130227100,416031942,526334357,254960808,485313316,335695413,829228682,624448852,799618631,925032177,60571346,691736941,392920134,786072370,507077065,55461533,650312599,425948203,94203395,458632235,506126349,595844681,147750469,883983746,192417321,936183015,11332920,28937026,693371680,601090828,402763235,898777848,684218087,690945025,388328106,304745881,397624675,708178649,605686869,347476267,484342668,978417341,528680368,704858603,522803587,136861028,730925771,716977407,76859242,568984343,627528035,779719917,552287963,316881380,484533248,695388307,15555302,75815421,574623617,551325561,972589086,977844304,25512381,147963675,923101860,747928698,705434625,370967243,898776319,804662616,700012273,321113482,852435323,42187589,587657442,98826793,187060080,269988812,757757403,580311009,807746399,832861236,261299811,792987561,42523733,442610343,718900971,205956243,780676092,592626476,901578338,81027554,229121281,709418994,294482880,891996880,934482797,253326983,742269569,935594561,449788631,619243419,386424343,905028144,663230087,411489300,235136044,175447041,167352602,402406855,641401496,110266506,868237777,374380092,609676764,16283023,478016800,921309087,437653234,102385095,646522994,807326463,175007533,400573507,765957392,304191435,994055551,843678837,863148167,595238244,678189361,442405521,309937718,733779000,998566826,325443154,290546274,351800101,774087390,56701840,766005310,502122825,684003871,167925794,997462584,862319921,643190097,184650864,348852682,722358725,508969533,371306782,251176314,199747211,275778056,995751734,469096559,550476241,772986259,437769121,812866103,987221926,341575321,200961005,604948205,991841651,410016107,522037193,622921020,82691733,448218973,568154646,535655485,201477910,747352525,779012135,374544306,563601984,434265525,61735689,789458835,523423607,781895212,222630957,256890085,693710608,746943260,458450606,7104475,223817220,107805963,663199247,525689509,524976494,147877708,92465077,958207131,393249732,1416629,496214417,181177504,96556729,290552216,842370233,863478147,681904269,601108165,431562171,5519117,592419675,989890395,736617772,867877959,151241851,986289192,266826784,36148395,814250670,394756585,53449818,995138249,618338735,331304244,637390763,936952671,552271467,640116009,578693986,227923536,142161513,689612688,738676446,696024487,447792995,713990924,13806438,60601670,131680549,223164240,25713940,323676213,300541350,444171989,494685123,190483332,819539286,238252572,168689891,880459830,689372635,404625365,812368825,979117506,811758124,859398688,164365070,389861928,853784875,796898239,854579830,533509371,456362017,800713813,331839411,717719030,56558840,285863843,553731565,979004904,714457462,930877526,833378744,495505889,865653138,13272610,678854548,347364705,877424009,931050427,275661990,690047182,88106953,526194343,488936811,797805947,591411026,597965948,648950541,556979462,308919992,888412384,127708888,637125954,911822154,539639875,760589400,458357677,109462271,844068139,86866776,54297612,254075278,792078178,187023532,958403505,351265885,960887716,961815383,827337247,141684456,753876605,873585888,166388053,259077160,512185560,11938638,736254029,166133128,629868718,530102940,689153635,477002487,42891996,302446143,982272744,911772595,154075448,750827690,212396365,159775328,2454068,763020428,932007298,78372699,728232895,279123736,576813421,901226220,11602560,512406807,147213231,618859702,365823558,477212684,732737821,80762275,906569449,344181378,573390529,132904059,279450880,384399566,718554319,827078868,227304824,177132710,463588734,979713829,340157849,535558255,150486664,164984455,3395298,475568885,248306231,59663944,409138700,565697696,769965577,178065708,955870692,27894942,366476731,225976070,398774301,193838285,791528162,148150573,446256430,984457232,932654496,533957739,38137750,978182351,307734322,531510193,250746182,412707717,608671965,124638047,322631625,954539539,934262650,49399905,911185361,262920749,433948174,593038688,878188370,819385227,496279929,359820546,956546224,494126741,447190903,599079182,412883483,891914623,401769107,411010004,927006123,995286956,41378645,885476137,371163054,428991785,412057863,416892742,350767077,322638787,528087127,581143976,126877073,609473480,774999714,895623269,480397105,990217787,497563909,72813886,595902425,99262034,229456039,589384461,359464137,548842164,610136547,485848908,495762370,783721993,353923822,853329517,637203351,757279653,515175643,39500963,252765689,247350251,774243607,453635659,173558481,906611118,189779266,244170175,903438997,665468415,309708433,299764295,230902444,646284372,489346961,617541621,32218204,253759425,831664282,944727796,644135637,508241705,881108255,784520693,829934582,461295661,719486209,207580084,941352409,40192920,197720789,530166516,494339006,640347142,990099578,140045112,523119355,882074266,506004997,530755404,637303647,431269197,16598680,927604905,682114665,684548890,926455738,940778855,239174570,518140533,110526819,608095728,926108359,892804989,301022839,393718292,504625674,394841498,725708767,39236550,662165057,574098391,55533945,819736167,90749025,126787050,850189677,637793204,709608182,514868605,562571109,25876680,607987635,76489297,457297535,65507381,588688177,927502450,763370785,378627173,347453029,322506925,441033073,548601236,526159561,329875814,938441351,321443306,233384475,680473255,282117650,648589980,377834744,116910022,736926184,310767695,344876368,692028004,344807812,144090870,68316903,439710770,222486070,683772093,956263338,205514668,611553088,815443796,69769466,95334349,826946166,402123977,433392333,826788194,208666973,302093695,119456512,585697877,762095028,958474411,299167241,440572058,441693526,544396024,736891231,405601517,768857615,906804296,561898145,968569469,71735971,871192656,900316907,129354411,290044413,919114788,409569160,832488277,16243068,870135071,945656804,443763010,622090129,885133162,930184758,466711,742178924,355155311,981792982,203993215,807962310,982185226,472029684,177130366,17828862,686898275,22466159,580023089,705824912,604649964,496165221,864735406,373851675,696419278,766993306,66346755,294675703,939295418,111054455,870326716,196252823,591255213,911884301,209579714,758549827,410116458,578643507,631413008,752897696,525041382,311783514,78719976,29350015,247413324,157105505,121616058,464340979,770574921,591538945,779853362,140552962,647114194,10421307,771830956,734580848,869955683,718577726,970920367,908017909,749244531,254787565,785516483,869782000,217876858,342768248,514884430,793006076,349806180,336142619,100809288,169429397,941934662,772810071,278016435,48508429,987073751,217875297,879511970,422462708,617043315,287179242,395521836,151002220,509117733,595360406,891204632,41332295,143704431,318650746,670619632,512410046,23094248,255890922,746638491,126033062,123476126,470641294,886013843,567137330,955507903,834985735,716191832,258902626,262626217,832010979,2243511,425695040,531378565,619782389,499607317,712012246,6083263,456339794,376891969,458783146,952470455,637477413,173703427,846812698,983142625,298677959,326967322,560559166,910326899,269783537,385704149,514451987,445657780,804842105,287336949,557184562,117202039,219885529,876671859,927638357,500194095,953219677,311369633,574091713,424756849,60015699,354602625,157943821,835463238,845915027,589796262,885248359,484772018,648467139,911607773,985624496,973197112,202428315,47191163,446307586,103648117,244225272,327188093,940213128,207856177,439088688,359491807,349788261,404188362,63136545,725989994,179774270,509771938,40134806,494219249,310076701,79312892,65472975,394785235,263099987,380753797,949353994,226640830,353834267,578730885,537234713,311719879,766100114,934917255,801422628,434959512,510140040,406378751,212315157,799560904,158878528,834230824,230160649,241769388,73316638,766603725,786418430,353704448,769490225,630468773,633982785,80462235,786080045,148061142,469151977,528065927,919048103,993220721,705409904,25424922,484307474,492176822,654525856,789200723,962965634,130178825,800327576,149925717,699186976,892097540,439412832,797746613,879489285,585470132,918919896,738735928,923944408,434784039,683120483,93223567,341919486,908513717,539087832,432531058,203463530,696928876,872457813,252267263,226741558,792938348,782079425,930681637,569590536,766718512,408696446,728896059,760291611,751033792,653554795,937503895,943682897,548615151,8161960,299476511,385534485,168535803,647506572,511596008,348491599,821892188,726886062,383588626,94104561,379204550,117715106,139105367,139815299,165417065,203487044,427050382,551214159,934504095,477663389,137088323,808507148,201789123,922282096,955132108,131387865,911228877,987295584,970795525,321315947,185839181,570665485,579391667,880808035,30772090,565511630,71097709,937361049,380889508,948726556,378113336,203372853,606196502,87766627,64136744,196188220,485219513,700721100,303916775,696140630,967877745,217885803,385590897,513324838,611595940,130580879,126141384,499038665,458887552,105498389,441273910,134046216,512450893,80369351,792783164,715879914,75521062,326721187,499063091,124693215,851711996,963516869,940833866,491500035,115114267,230355297,937708978,860098413,181922021,329624157,632145055,405574781,797822689,752356710,676540973,583070551,471639363,443628730,108228476,819138652,541983001,276561980,975646534,869281045,647898888,118315254,434633540,956678955,411373781,316361169,721490592,322543870,281046231,238758013,669165787,386312352,72560714,384631017,893959998,579854331,391944918,161713961,491574239,696922674,990379479,149588845,986174012,939732259,771834147,867839118,92351103,228590315,382761487,825840454,39352643,550989740,990378550,377911617,752798451,772227676,451378239,297164816,67622849,609524845,415189570,208241046,784407103,824264036,13567336,725632326,54096151,77454895,562116074,987609844,769772137,593206631,677261571,285000032,289113020,213168630,926697366,478963405,554278309,972438228,909545874,749730988,834953916,772076699,725239817,155001124,913515988,666212821,438541015,408742736,510973239,119066774,281834944,463685691,450937321,912950319,123280972,152821959,143131780,595876603,219394490,505525527,869529552,370429676,417010059,181223564,454097834,1181749,967831348,299064078,38439121,534561185,865786626,905674030,705801195,260743792,994046133,388358173,639900453,302810817,309338067,38988431,674812505,624474421,922386360,750052311,15562223,811706703,624150078,6115738,391143290,357787557,101226270,838025427,923931389,92540601,774770168,110825807,488008137,165271745,906730972,9238196,214978712,829021670,306669454,149167712,669643844,648623177,854517409,421717093,781070531,197009935,549914256,11987666,486044954,901495355,251055863,478287395,495995906,463305126,436519556,662093244,356916088,708797580,821620351,309954370,531420873,189861386,319664354,796101118,483340852,817270347,825615275,115429373,871717873,855487446,749806563,98347125,210058968,329545457,670584145,650318783,518786085,464411460,534342896,301506788,993386215,895219634,84381763,208451709,515987326,951793858,11335603,94159693,98254455,84905815,368425864,146356705,961492254,747722821,932227101,663571805,450105334,438076064,735959965,117615025,24489988,571262081,519336046,59361850,390613000,1882910,531036792,910728780,377376450,298670006,497794573,620983738,850715160,904396158,755570221,393623193,868995967,529858885,852812428,386871762,97703564,760193160,205238011,115360648,563739870,238072139,956372970,988591018,632658759,113544152,547499427,729533811,567636600,849957232,937776494,95767261,235447577,235029629,704702000,386484507,428473261,662775624,29834023,268937877,801618494,69172468,450968574,323470116,620162726,59844916,327052908,764103716,553941549,958484253,641627640,771587749,836160167,289347122,168572211,662518555,413495957,780421041,69764052,915578129,102823551,854438510,169788843,772591873,870666093,244608096,855293798,585981856,551280641,559699405,284735532,71348811,938890047,59610354,995283704,213064249,789846436,667879716,322579280,148477665,791286309,328376461,244108001,577550604,71214374,671116710,851399771,705750601,800687485,668855105,702645315,138316801,337231539,421765087,2646965,466127102,865766472,413132512,467514450,980391176,32951064,999690893,351170161,900857721,310629013,369769597,811476399,474488413,190045893,165994452,394221448,734846438,606223571,965171840,243003599,744401306,743309790,36021116,12376056,789073097,440579836,292925184,616124534,482362576,895383694,163727754,475407563,167443215,921867217,344656468,792203553,645296896,576087708,258869879,381305555,174753973,861298413,487219948,525196678,319099227,459745584,925563481,729275968,301549343,42119433,262266842,978288127,604755331,44824632,844347615,245995816,734213416,295634549,12317067,168752699,571210850,929657084,195630989,158367730,209109355,791508975,51235395,893950232,41403402,516294371,203219039,207812843,824677895,588477071,203873569,92265080,623564722,325934241,96204788,846632356,501045910,866849521,984006070,210429927,637032033,897755540,638545880,120479326,910282864,757220955,534625523,82641645,467341011,15953981,485647513,288885392,175412920,118831417,794981793,81937699,200862613,607095656,879536634,449834129,196910421,759714087,692602850,120293748,998796535,765092879,806127028,124172324,643891881,766010945,954796874,880542032,968816307,837175636,480060400,749823254,370337457,795188430,296426896,929407547,502992878,437575596,850757535,899880190,955755502,424555596,397724397,928279214,603840476,844244327,297637745,401684784,796258063,851678668,347395064,91991574,304908571,294739154,461067860,135740600,934493969,341665493,899843762,296580617,824063128,50782262,859738396,473042784,666916276,100245787,950414982,4092375,174727576,226392212,544121758,44354562,137031002,518339167,864063091,664252964,318517040,524110696,8787475,232454851,262039474,803053371,653792635,108751301,974759855,905176849,529953256,26185480,392195875,914356270,570892803,499674755,45773589,429664955,822121439,319180634,814454434,852709549,554979276,724364565,682684317,206510099,418666622,139782935,350168529,237394471,603520948,124282610,954285566,716714831,341893687,281511538,12528208,31926458,480664414,793832377,29554841,508959902,877751144,115195923,824580311,684744586,519928947,356064126,484051551,526657871,27499180,656726752,253869247,681392072,459581044,78738415,395149943,438036986,630066787,13134695,746779719,916562541,320200905,676532176,467701427,801481432,378352200,125429972,190782146,45635975,223317835,598339365,291280067,912641901,126299475,777672938,204888762,634906639,549850831,731441209,553241933,576897442,987044998,718961844,530579231,183461319,83610601,137506922,88532257,481184701,283821935,915754583,190244087,894264950,748945263,475021282,790461523,913113197,654124903,340593951,402539229,313040498,535192699,390685668,27799661,935318347,933281378,374072993,379253978,974143790,741014146,72163582,229669448,491059726,352412470,389600213,477460057,916656810,493084728,924702382,175982552,52367001,167667492,618364111,420749467,988024247,802619293,275172221,783309874,55318712,323717712,271365470,719253837,772781559,121676494,100473970,880864722,221641192,598618497,93070061,33904378,177136413,744364125,914045872,407847825,651368825,497748379,183677015,788634188,784812891,292271179,922010028,810681286,70078394,909947089,672266344,39780096,866201642,191872071,204829346,740155838,535930014,958829419,316446390,130987448,956066885,542295779,434318264,633945380,258570927,871891127,842409765,254828335,94208419,143724127,829416949,634725165,208721346,618603362,420499068,499282937,731289124,716903206,689187129,976908526,862069307,154110741,195576477,982338926,813901982,35031278,967325884,421083267,832412096,916169084,516776429,831598131,506607552,920820602,759890431,240492130,709221415,286713113,992765900,57149169,741392988,532151844,739533404,285416044,81191760,358147503,326815707,596426085,934597597,298511004,882115345,331069788,116497791,700101820,126112762,21948647,234419168,563602777,575544149,795346528,716860266,208500031,426250219,547249506,395761876,890354947,427805237,616758761,212696523,834249622,791387973,767421384,33681131,298249851,98350460,954739937,348736210,80558600,830015574,141566338,252660872,937189240,11972519,214515822,409096220,954469167,382519659,189423731,703031976,673019079,497667946,282504480,756198246,81533378,200430547,35093750,949358692,794644479,581871045,349947208,784345353,233015891,620509882,654290489,438383717,478927941,91672018,873084850,991058414,88513012,728726526,395424153,925772615,264460985,894018905,485779829,356332947,464679936,677167413,779523679,552356164,774324890,491145847,28419849,967343731,661187189,130822180,14645912,235832443,926042841,871146159,64539097,121070718,307437128,208854038,866186858,775828942,893993800,394478828,469840309,372445458,767819887,452865714,680802885,400285326,76024698,608956887,587469953,13247872,982282517,983734957,959937356,254298331,466956040,656719220,370657337,256910500,621508263,261565545,148487563,671413117,492784137,780559249,384897808,980642223,517318877,859879223,513656151,84484185,922555262,38415864,488064893,369431357,918375036,906046057,9623338,70787840,441804268,474814718,564203404,481536431,802008691,817296096,77312750,776312237,156914598,860996657,350283304,776316228,7655797,421666164,100458098,382193582,379257817,916944601,939469887,1456959,119123651,296189398,786375803,124278456,301272588,284300563,947044541,909214766,710653000,876929944,968437527,458133016,482556048,695317157,757716019,403294629,961274438,742062222,790127838,620844609,614866891,238126020,587621429,174144108,329949078,358775485,541210370,85799900,852338545,688247797,528885461,51880910,617169584,401802161,679174488,919579318,327408394,294351542,935953278,554517614,3813015,220109298,579319674,924250750,428175801,469953502,125896854,377203211,959541160,248660627,559664518,354945015,667780890,860783144,925979438,32481023,798663899,475734421,898680391,721184810,264528225,153634558,614986965,254999663,172316691,211186893,73611667,62267308,820204129,254333912,880100249,448387919,434117050,81258799,711611279,459349219,954628587,160490335,817234550,467485646,581825213,551025178,540974055,682032438,899158827,755793616,56947907,490977998,589352142,299663254,933928423,519398543,838064025,615036894,451161817,121718389,356481805,453614193,954490169,845525137,81616210,58124660,513054042,297972839,299779068,643857739,282552838,776361796,262089286,712556832,488584687,298047869,676764184,401662106,329616553,916303764,976502236,701256985,717338088,249129581,696611448,490725341,311128419,249205775,421180069,239697444,802122072,170438607,437608300,648887091,675608063,87109158,583422149,826314663,50990538,704081742,714074289,544490936,466984224,964059456,421784996,801767291,930252818,904618401,533444808,946778842,561824464,288633719,222152600,77625470,472609652,703507670,220379304,751955985,856253845,278290546,329189524,738359131,574769868,711170443,851031980,622968494,107060124,428321183,383008988,108046963,155702247,346796923,425477307,289183252,83858516,693108327,338049480,291354759,926840637,264331806,247638840,709693510,61528290,540471482,600411176,496214446,471631529,150618031,26146757,395433089,30488383,538040980,188490583,172917232,492363139,969414849,877376098,805622788,857786302,693553811,454721266,380823919,936864664,521417436,817099431,83994308,794037729,410387509,415538000,547169065,174922433,308760987,800584536,715484788,92396494,510453197,466914542,380202382,232627891,904021216,392914645,459194483,221619536,738861080,465484182,112619407,932177943,322219343,996493891,149029047,168094788,498564786,387572621,348032105,716689041,891765006,785176825,401745993,467791237,389426836,669393483,228682381,869831738,383777623,516564436,836264603,490911319,231280676,532242812,842891114,485420862,131845466,752412750,787614024,428879296,36724281,650798023,565148490,430779543,879868241,705929309,91315619,849945863,751934185,887813480,716265258,369891931,628224108,731981161,833257395,668049480,225286335,229852277,504159134,872686830,179997452,512157155,571303088,336312895,85488452,62761163,224651052,993663680,333462247,134513630,420070810,155252560,795545157,657606076,13213511,587164424,33672720,42869946,844791388,38393002,758911534,445172099,598565563,2912290,130478161,765412407,414574653,919217810,282853719,400330435,173444888,871645025,412502995,153207118,820402527,115405257,516951070,40576533,935044768,992924440,955570919,659635194,11849008,644524476,840479909,6038268,284219341,365659998,723999039,623435260,934051275,754260566,458048291,872221568,182691824,31215432,360710029,413634254,438969385,304214637,715802403,882881991,820453463,913410412,25350690,290064757,132713376,665986753,191175479,990421936,231946319,690709282,929079010,238473147,750528983,491678603,704267208,996904975,624685370,773727037,633674410,127670947,865994857,935354569,704544619,748902320,725017617,469305965,464871577,245007341,456000749,243921110,832487779,731858314,157581905,806086790,838756906,792625209,77400904,619123997,813340287,95319352,423960519,375501275,443182424,561434924,34228522,257918834,892553726,817853411,96708423,838041044,11698767,934554488,845650563,477869568,89180757,838104911,244158958,378168357,235354327,975840491,678283851,206827798,988189475,913256752,950552157,520446674,989827337,941804601,501162187,68123887,237274303,792495263,986644018,137296193,528772966,901320430,533795718,590523934,989135365,184630240,437351466,717270996,174770060,387816217,349942231,398305247,532968406,610687026,988686182,413560228,71210722,561118314,662974704,307321905,127311873,140973770,566134130,101371515,416511692,972201311,760524353,648808917,693308196,942424426,72478408,21123753,782686820,775560363,248722352,698222891,531064041,833843459,202432608,686646068,313352558,631312360,574710914,882969952,994842893,282199936,106172520,827980900,327820874,19967781,36264527,623691481,102581101,453289507,531463907,722169713,154937370,505638202,525560503,533273062,499216283,143071770,217654972,789947860,682664276,792103564,156381789,287876115,128017152,595747923,959554130,640312418,22652120,976513617,202121655,601614498,523061688,165711862,817224478,638062292,572229812,71015846,423876174,457143249,69109302,483064632,595054183,697776098,119447587,104386391,748328572,817124090,728328891,946005106,137125041,689700710,96364325,839161084,926896205,822147869,651577009,161074377,802827379,319706037,677389112,155934601,667593075,714446594,974735563,713450743,33303116,241794912,448556485,784530550,897586863,821151668,272129833,447172912,191216054,126651671,542743614,211815963,501183846,738017866,19604937,502514391,746671154,846293207,539573967,786709481,98031283,775710818,532147472,189007013,386004597,674890311,786576701,429484566,618747493,360440275,788818393,909359296,469307787,949418679,523870989,656431972,193267204,433055332,125313434,802587301,105013075,589864472,472322030,432673156,156259501,634376262,660464319,109407525,832055637,255585342,469849644,781099796,528831612,457794331,839365918,501586252,561739809,79268546,855962619,352092882,63647910,476122092,649642751,228185366,556211326,219461134,443882777,293768986,148695762,282404945,309226261,265109181,695232709,365950269,338719101,84039131,755988250,335007221,210668458,411433759,213092967,538455438,450814803,341712855,980587780,907889067,796923249,485558346,35227835,615755893,118302509,226354367,186213897,394030218,945229255,797256189,654550956,913907289,375358587,825723506,704092284,474967210,768909475,326029759,446157367,871240791,864489768,34315278,180211163,918567848,929989364,456240139,56316971,811948329,369246725,121365874,85278137,634778135,760374233,968129975,544781188,768215872,429796919,927263012,55203057,417783040,509828398,293092707,342517288,500929136,226332345,170784419,643826980,654571103,187786923,275543438,169791197,636884170,289063239,492547118,899220922,304368987,675622977,58799988,188126619,819367499,59734258,115014796,82858165,826332855,85751819,724009120,420881320,564321918,808140645,556952431,239171047,259770322,833465155,633253778,336030241,662320109,3221065,475042185,78047300,870487772,261710372,639332353,919745737,35408777,248590095,549833040,74786908,290009215,598063670,877208762,967065226,575992209,920274723,879041701,952030226,460772433,337498185,457083644,411888885,382780817,961889391,987974374,315631010,489353618,226883540,366820470,846699493,642847099,873902104,471123748,632159616,183152407,909924598,544166251,451529708,194192174,286731241,854787588,539141794,300938201,31963038,700969263,273356705,293498539,273914358,722435061,160677926,481355490,141771775,768025700,954559339,953271571,545713471,828589433,6224530,795811226,107174785,897200947,972007356,208212359,595229114,34492761,363504929,610150362,451152663,409452973,776079673,372473959,463090321,398836389,470996050,832524921,65450700,168283684,996195462,452298840,688156795,32709952,24748517,21167942,204081425,679429093,26442891,287214782,217680231,873016386,279283408,322390232,217045560,722924468,293345836,18754427,635567199,789908590,782755273,704373123,267156844,131929445,165768890,435870174,258738243,570830007,257339383,690383364,735971309,668440972,115816649,681397934,366206109,106801578,623445333,925702482,293328393,506745495,491209677,661396433,805858221,729411752,18102240,935667426,930089544,100030624,848038920,214269147,856730420,860330251,822816903,774399033,357633447,63030740,336198404,360077845,770230567,13039615,584108228,62528494,806993130,535125131,201864745,38437338,618320769,628108504,993652285,935228346,526559135,99911100,25379427,787792215,485008731,536503010,928083612,913027844,450946625,562601385,139859049,421654676,664766461,671932705,749479525,375369202,247437255,101119732,684784913,69723127,251759726,819661666,25611483,6425277,146668902,169987185,879309793,766220456,403014922,437003965,122281100,383775935,989356566,386255518,276418438,240985552,381363670,188596075,163327758,215243089,85191265,555625466,91586927,208523340,367563964,331606848,472530939,255008366,105595008,240642142,601947775,344202156,488390593,97868832,88884102,708409400,68344890,206635038,466156389,290142786,507351260,162567873,233905652,949181437,292311991,92887598,565145825,12328234,471378983,84903853,990035095,636671971,147700491,863951859,44683069,291797555,735061603,682305062,198529138,437791035,879637384,100275225,835116828,610521686,337051893,389319237,216905148,331348139,593625243,919748745,153423372,578473788,969188920,886294877,679575806,770288304,922166788,676176483,605366466,141650162,890687550,643980768,249934161,909458790,848329724,302426453,716733627,770910080,790052318,281435357,110130871,512922063,418277726,420074603,885280993,385211309,880250525,973086495,529635586,997478945,985474178,50937041,441522811,741858179,900589521,163984401,520926539,224450969,184923152,383431046,144351781,175424179,824025172,873700944,943923068,164413477,595684285,411361477,409371678,731516776,325409897,173863195,889011852,106974074,588575108,306246991,525876069,100854231,865998021,421694468,589486682,387925890,176933632,381882656,333800495,99150795,754470068,521862367,853583017,629335097,837262794,493695246,168826152,552747557,842333923,10955555,621977875,709090405,812325633,509950986,539596555,689518276,272658047,116421634,629130018,814621969,359751612,962766136,508103972,166715451,165304653,680508795,341284460,664059955,247574615,519948762,42610492,171646825,318794210,795663572,830139986,634507675,30772993,513979756,362477108,44486925,362339998,975333700,946101820,450727207,55890732,28136320,793818162,455903476,832442513,411216333,907624076,977247839,429522831,877326859,900520428,992814663,901045807,733442889,388514927,599951793,99558161,629085561,334285094,41746752,714099738,361175720,729138963,342056075,340260008,853589513,673133949,448927161,286331285,791175573,475120250,586255968,46459802,187327216,855747942,548527795,914317231,136901869,574108659,307230967,668948977,317611480,478763334,466576070,140358558,678890764,124005773,339978604,698457441,981535144,538903071,439511035,321941716,207975530,974780566,949014583,420904868,360699473,203865863,181619968,741724082,151397980,589495564,420196724,896655233,37788940,853423696,400139342,662358314,344501703,19313051,908146088,986763147,907157195,794508093,987440237,510750177,227968038,54451587,383318704,613424395,356868083,798312418,217649715,779214564,180715888,459948563,98537255,764559883,244937243,796207990,877694465,187680411,86185946,170708209,106400297,101758267,780558654,913987233,623074015,414695701,274205155,197937537,478892300,423593465,741023439,35376771,595887615,143377168,627031506,184663262,344750727,804285417,973688333,938187000,143472812,681075681,176513811,788821931,430369487,624488808,449340649,133442947,120026367,307409569,15110808,688104549,620418540,761310263,324298562,686010141,587893031,502399959,827160100,307539677,344293292,201063374,86265720,447278288,667219218,506586523,581006289,830610785,363199539,715011865,355172051,452901719,845500332,572349524,233227249,682981442,101141797,945585859,759142260,655460380,646237978,62014568,542381864,816885872,82784420,466213137,407664543,443173258,963829475,446854388,944188137,106711900,781834988,918145673,842727398,274422539,152236406,636243817,124069009,778908769,851862522,89514304,504283870,874401198,249398585,257973735,881269862,275009826,235365588,473670551,30258159,900004235,690219360,78287025,916797612,949398119,986664378,728627648,188340392,871103667,540433963,135888178,968959608,878793292,697413502,540662034,120289793,540027563,310974804,397773155,758656092,217452232,359468994,348696161,242091041,905123879,545672593,172430543,398292631,164015806,328592482,268815388,469593578,535993821,18522775,344783021,722899591,435025296,164428945,111029304,611953709,94222603,928623888,502628146,541866638,286471401,112402837,785896075,180622259,62911176,459059139,835737105,630844898,51865029,167251013,44729274,637725417,968448954,490538625,377479662,781038494,25660107,283004427,623705473,44680414,19777321,890788622,193709645,272351792,733545626,629116475,451374011,599165764,352664940,62494127,930521695,434708175,954662089,713479269,849848140,413673108,997639905,38770391,514070377,559166306,476575434,129562129,58433978,747688928,85247345,516878220,518268079,454947910,585023987,185304275,871149539,994207687,403923540,137079792,895505113,531882398,9154681,371804183,156694144,762712051,790784483,200047014,562603146,39402117,553598117,853287858,614680911,929000063,912196946,659326934,872596300,108750028,418661395,791426798,665665313,38313888,180332208,878741756,8118643,530861006,209450104,621078342,759178890,294005767,957703505,381343304,749198901,535831500,96513052,865495569,478889577,826231665,190883805,81186632,247807638,468427089,540840517,861421380,330943646,957391092,187501714,639382606,234906284,978408659,425394184,8071744,562127602,592592867,787485766,714933642,356568226,7506140,42403547,549272538,383149908,327074780,386141803,144996770,803134588,766997687,945777880,42674510,926367014,373504334,915599544,38460597,446445462,792467873,569617903,38546781,843922964,635457246,742550217,731018534,92117555,673674202,139653548,66810205,282113724,315774958,297766918,858607934,8504760,206842332,526450397,752276360,645974487,99183736,416974832,810449471,616582437,669812473,24552842,98108049,569386652,246806476,374751321,611979279,670461003,703761855,333650518,421155558,829199441,614530607,985247950,241285062,400761415,934223657,839306225,759161635,978247007,770735143,670969738,653699922,16664194,442566609,667536906,476536969,351853371,185982584,839689475,939927980,270006536,132924170,516273975,335284117,214627787,97662169,313546430,314665095,197551793,680540718,573897521,70344387,525706098,827902601,624036471,383907933,364991988,630890904,954592846,453729640,339496826,538862767,944908617,202139603,440539376,467662899,213082828,356150121,695309905,88091267,693004209,641630206,315622923,651941461,638168548,663022326,835338642,699654436,805325609,322453894,864187717,717884130,903810129,523936908,764116872,904572820,739365368,98670736,479056072,568605872,159933152,628092432,964121435,971690800,436749224,26428634,50718733,617714589,77779308,173058146,187694340,904493570,262091440,104246361,32415915,362890376,95100880,563052197,930563670,220230810,383454239,95494752,553042284,883739285,952981538,520223399,252374125,528567522,466435947,514359509,950061486,446626983,7089685,532575016,809167840,75318249,919363086,813739209,896314756,36823111,114254456,915853945,407758907,143782043,793426357,535363257,337797094,454876306,214434596,789065420,670971464,213638622,874292602,702292668,671688023,690672453,840361284,736295080,864147838,501265971,18956078,479263395,208228205,370710365,575375738,162914563,698072055,512977843,16976227,390690955,785716542,1140312,976035546,941144837,168644833,901269567,991997187,210672986,633230536,553018208,510682767,760250034,952132588,377776054,615384332,192461022,412503446,257333794,293162977,541897873,665777401,665111888,671790569,364144796,967421168,512118546,483785832,683623789,843443030,948189737,639776275,63985105,691713312,805200323,386134395,912739240,673166364,110541520,242270560,955202082,436227462,277625266,959148158,586149252,958576913,235164190,224157792,440243691,76621364,12479290,664815559,813266023,694483564,722444986,689911403,708481260,96192064,892432256,196852793,759960740,497734439,122902177,361185801,612879452,237985314,257119292,857924927,116144304,468818202,618560287,406066790,324294636,818173397,408144715,551973393,418631114,282270075,944706957,692688623,177335195,967050179,13683178,289139002,757153818,6191609,316980614,134070139,281514265,463841842,461764110,162336797,160424569,892466450,937025911,271552615,153192150,709055503,992166486,53676242,475922941,334821416,408172256,482326707,510543603,215409406,136113689,276686878,747258617,63128999,513201025,611357914,44650280,546177989,900930584,111141125,241706621,24069621,2033949,670333178,339387875,276895464,219557013,377886559,35636058,138684085,977759263,276055927,83146771,181466577,586615151,508757819,838960644,848897799,987429562,814816063,434775108,486805627,901642078,837434682,568834165,564085526,441904833,574163056,42795809,295861173,65315763,836939794,574619030,836081181,883614369,452107193,216452633,368084015,65655811,77580935,460980448,238808856,125873097,118861280,5374756,420768156,975306034,658076922,698581433,20305148,921202839,417255187,712371769,475753926,607016659,208957309,461972270,890146165,310669128,476203270,848134778,875165059,269551972,527872355,16944336,497556689,338989073,632217660,850476997,617793137,145872261,167497040,507605611,823572637,951023632,93089555,132862169,862981744,433094440,940735622,129493824,208324422,136659048,203543412,466418025,691690535,405250325,298304940,527772023,37125900,149231270,60986733,171685200,180023381,907899765,835975113,223677287,726731769,964098419,609912187,392356318,87427754,101071322,629025163,117885245,590708906,328847949,520128908,404442726,580388479,911463296,922856533,533179046,501365064,353875685,492155311,912724262,548039836,842602983,737568717,318130294,303274840,992725316,843051108,54034634,923979487,705765036,811910350,840600724,384252941,166685811,909197781,99112191,127799424,742592856,968024089,736939479,543322669,48855888,788295398,427431347,677555701,923504210,537060550,523211122,23985247,586458655,457254066,893372943,700152132,739531166,45904730,54123127,916042722,851586820,465659068,651146116,534482593,260926820,61781956,490872389,577487034,690717759,229966902,398884109,195886757,255929502,156589692,554653070,304979878,299143461,351696910,767854318,552596379,184467030,492612881,278815150,305206799,105331684,653418189,425444827,340857074,281243931,17082301,158856171,780445885,211160686,595998461,881942570,475933886,241079928,20886539,719278216,614395983,648341394,105345861,794616121,994205952,627897545,50714456,11965472,635051662,905677612,616061332,685429660,543742574,84319467,843021551,562636008,478239558,680931897,457088943,462254530,515157094,863729039,495653364,571039049,82166414,531458589,574053918,545711741,30922289,584448998,659040254,849334987,65042771,782094846,342440402,884464429,342285886,579646744,573548,840240468,483498672,653327427,909488454,281871374,726238845,553011301,40041876,747339987,623895369,839263852,739124955,728871220,162114481,808463245,603308853,953174982,932393623,933011718,733573949,336238011,392324076,42984483,205887927,243788112,920585637,472842536,399308536,193325325,795694951,577035047,31185985,32271103,478018371,46235443,161188091,252710958,471606155,852988790,856164213,261632795,177719305,38338399,402509637,969367904,834152735,66694088,546490370,344340916,229996729,703345365,271238189,277604501,169508644,18697593,589639073,842795914,375838048,488071695,356906642,797068447,872696346,19640488,39656132,524499898,286562376,530138833,529519019,256246978,224171753,982741754,454414383,325929538,673361040,266768340,708998031,144669929,412628731,925184897,145692923,441679527,491457425,821293285,682553585,102687487,746211770,911746071,446314495,457154232,37660008,142541984,745214008,479041666,559696863,649801948,263553218,42953594,737391787,569498224,964599086,197502025,747794014,175506564,903799602,240075777,924005182,617410682,365958374,277437243,618184396,34732255,271938477,423939921,387219346,621680439,580886712,863603961,511837627,215987410,175649319,200132118,161594754,170496207,171771615,348042998,537227810,496357969,488138289,499987947,711519082,464232646,334479001,424989750,839975949,154638457,151000242,213847755,711292058,567393877,965126624,702781156,611197870,567112308,216116951,687876461,186847750,608520166,700112587,112003489,975948010,357297650,747573730,917270048,577302003,597468686,463023648,407317915,581654034,295641574,670352699,673551745,644542313,97137504,105715704,7693737,196685331,503375863,678269729,92594379,188110722,358741325,562616795,469312313,170455130,502918511,895156619,387657986,216233607,133908502,59238313,629517666,513620799,147090546,578827177,526231196,538818330,115071375,857558531,742149129,208987557,238588524,775588797,561048920,334022514,231341338,964361740,932787923,763845565,532658257,809376300,495047226,394564424,849976505,32697161,55549731,958606132,689295682,942001834,671187135,754144122,529984238,924818941,141537498,60962682,828858889,920549848,830772301,804445022,339107343,627845244,317197895,911362864,772952749,543326850,520732558,504690170,492071011,500099313,949506150,716084397,571456853,407985680,899431821,166646875,693431229,53106786,894538489,159077133,293224366,204198544,694637751,1782490,798981851,904317996,877305846,170337790,376369792,300833231,139668557,543989833,644479249,622258788,450692951,201791495,425666955,964809189,526014855,333061178,702838638,627192765,181541954,964147496,893024696,282837237,602216867,453529401,416565624,899943478,974728421,55784462,516269,92364448,981639016,373044212,540319200,952305647,523850372,419411939,615938190,200855434,192274936,133846781,669240518,287422916,255991470,675878484,938831191,777594139,332841653,321480413,387053759,169525154,275165268,879573694,758431066,923311498,907602165,97130602,288693361,362125318,927889343,855880360,606420109,421292364,393121946,615802713,187475516,107457080,713183189,865111159,49985581,486816259,628477652,280906954,781860409,364200085,465442321,545075984,543886619,803333491,794656290,641553340,163638674,15844931,582695550,57792730,124325857,180896528,289595703,378937261,526247606,323766544,827784888,885482976,596474681,619235220,206389786,217080550,841124191,392138867,719742449,729242435,558621658,152686207,536975793,277647347,738104266,912966635,225058960,721867639,944739152,54371179,109774262,544427514,748665679,16676391,876439945,238200118,38086185,578168449,887047362,909454392,857278239,171298684,882094671,249178401,727106370,42281941,700811582,70804240,892137899,262409521,314250149,164516856,231707145,403322444,26578977,137281825,710481198,909342558,843242938,241916189,941928915,515459071,296660300,274893369,215652305,517864806,248196426,73051430,387513344,192709819,999038705,444988370,315056214,779020211,574234783,801549459,571614345,203810805,22067865,357176261,51624199,475314386,492934588,312387109,956069660,167191543,814221837,428181676,813813641,692700998,885146730,497477584,771209185,769672053,943640467,422049880,8166387,144071157,712122089,428134652,996682950,610295392,11449564,229463642,298071971,794035438,325145849,934274942,429581097,765500374,447460691,652062385,862651925,66587892,51366049,996194151,829909227,397870340,508703487,383967602,705202767,51719691,849443271,256734599,593418845,358167646,710844184,633935131,821295524,660473185,191154226,705583180,649952674,643409099,547203014,38597166,544488564,504138314,416271498,252795865,312901648,575774107,3828794,424850128,72997672,8532913,435995251,863730491,883224721,95296476,877631371,350355084,994140496,642757524,755526044,973436934,825138204,532493786,854111739,770310875,329004771,131352650,28032416,24482178,697723310,535289716,798465988,967346905,388813747,770880011,490224355,281919516,982981851,244024512,872097397,519448605,128916359,339114384,487550442,638124281,854674609,76041989,781279832,519218702,232662812,388837678,135439941,87092666,767282990,97651678,766136790,987342206,165716370,574048967,173267713,137638958,169862899,598415538,953703835,55201691,437912217,811661738,290159340,71243031,19811541,422869858,158739031,699551385,674563661,872473268,578339553,774058843,822267218,135691519,863981553,570123713,754411196,979632395,658378112,302960373,540511194,23743763,853054676,23316229,85494958,337371784,3303379,380211156,879633311,252240431,198324599,804349313,579772152,933920955,701666603,896146672,742193299,721317928,980950804,942190731,619435573,951464379,683002249,66397949,964800454,255491445,251481889,72926474,401990749,16147204,128664366,968448338,892994461,685120593,888586694,828615719,771986912,699931807,130223076,205345656,486492247,793068177,744887115,23373833,521609900,630283475,239381219,148945759,652553768,384695381,76410096,439613585,116293204,893097062,671797526,559692730,106118216,253208749,840787382,584324576,109882531,744772066,965821295,958125497,639765378,854252127,353767454,71154219,261001628,445668931,471849882,947075382,161131719,911457694,373776233,527385614,890618779,998729426,388088769,616213365,91827479,573292220,320891800,57214091,693135527,642022667,682907114,444462650,271748110,703625472,986512877,141574511,310019269,404500548,491405546,830657411,192762859,473380276,334468282,176477825,616041326,251692895,897327486,475849746,286184737,358869759,916311503,372214435,241067600,420974256,992024710,669125802,887301199,386324526,207312838,689587193,219795312,644637052,442063803,487298461,803385223,942058159,264462202,983546900,811673194,830995380,273268101,182185290,586669378,425076991,556480783,787907006,884882496,577674966,992467307,620558966,797232951,980439686,117525297,657604150,642535044,412360169,126747265,879047479,402619496,336117928,581552705,497351069,911702844,2057658,811829527,93137978,67749751,220579101,289819696,73414553,616104959,707151512,297486800,711676927,108720652,824695548,112213701,208346433,172914732,287709512,705616061,228055102,115850219,13017878,413622925,740842844,858234122,25535891,393419522,904678570,859820259,673762245,643463919,699414796,294540779,374113268,194912514,533740615,996836580,204595742,104878149,550127469,201312643,653615212,748673664,612185639,262811721,872364838,499119915,338827429,42528237,51082089,642407015,898466798,799628134,44828523,304267310,195325482,558471436,735475066,271280981,393052951,131948653,932597088,923122865,183950556,312460212,415438966,710646663,615462543,852232865,596950847,531925377,967926728,612521585,410498078,198622289,732196545,960479074,70825295,278701530,15118102,336209173,672949353,225636065,933061244,185006178,470786479,651861298,453237366,535894388,190609735,618151090,941483477,802408310,666293154,986697604,167555482,756175351,783016410,334619546,298303083,389034042,510813425,102372837,372050496,268346617,888684233,511466864,330723533,801940023,852913957,927784526,922572004,897457993,101886103,781331239,435734887,191261161,781282816,126213642,795692605,782173337,479625132,367749463,291398424,725330704,324911728,467392326,652057351,912142883,388637314,184344520,325234170,212443695,225289743,211261276,835598193,194576367,431073784,266996321,119113863,680028321,17442043,450484345,467278657,875772739,930217166,810984637,697545879,333373148,104037288,147396570,61311230,594174106,45928872,562078999,435621310,683594762,254564888,187688010,197855843,20285429,906985481,373368102,759471660,558168297,622805208,454430905,469509557,285887140,408723396,726628940,103133008,102539582,697333038,102151737,125118053,992363783,846367604,143105301,430129285,997708497,114319657,492057562,611935769,59847535,456535574,930408220,974310721,501125541,964000378,512448382,626981387,260128946,797629713,361622266,5909026,999422221,576215674,671149426,724280309,340075159,932902623,901092639,897853181,760468043,875553241,736281344,946174836,65130418,300636388,478019324,589556362,168001393,899983754,243924386,946117138,246899459,389813433,145502041,97252856,271190419,42453092,793702207,688388228,461877404,793153865,480702996,262150883,286061157,44546660,232057617,146494907,412034503,292867368,427469926,762515305,932982320,259014176,19980860,973583021,842042647,471403714,483438583,920460190,142721205,944425681,991391971,791171386,310874482,533414448,703941988,634262878,305748229,970753216,45447909,33064018,550923388,590054924,222036896,292568785,985020589,470678552,299062560,111887459,941437539,950992385,42412256,168488631,386549325,743043916,31635899,963461494,242111356,871667535,40049816,478206881,239556250,797117073,659780339,568611719,828498817,857696017,305049086,409797324,361929037,153920519,877877485,759933952,672972217,505841239,47294425,89185316,566634188,812434890,653246171,712292314,690815767,808225669,170977580,868025440,304461191,648881388,792483224,606430274,199946391,317309123,519327574,585272936,187354928,337691462,551010841,940320937,208673977,126939957,135138938,567096644,633221472,721605616,93906439,875348163,562306156,774306611,405609305,216433975,584333463,237597000,103716686,207111498,797964130,606803935,561925061,736154123,43072834,635777801,261911303,563553923,2743470,708475215,418113744,266429444,265724394,152695767,708774127,638030237,679561514,405432359,293833668,138977136,398893572,985549285,194245117,700946080,723926972,46284155,598679148,2476156,754462969,30549998,187116440,174159601,620008630,240015176,16044992,710672239,683615516,283391334,928225611,896353220,583963438,302766567,612320608,470834019,699990358,141066015,717993424,939098960,529261407,795615926,510263051,820930451,810634249,739913747,673556647,502064056,690603371,156936260,922879980,432958771,433141733,105360318,22337468,692644007,555819134,47139922,98422979,414329170,282302501,123449688,641172423,101323749,542821350,64922671,904065950,442703928,790223573,115124191,459027780,52023842,432861497,347267220,871748824,26345040,588357627,27942653,683870853,855766141,580297318,373175417,750028534,603873982,976672331,938914081,45632328,528987096,309572911,733902097,25594077,347844683,834127886,640125677,749385982,296511792,284349641,472062449,856180710,98249532,914702275,174400365,277590703,469579240,178875769,795962270,975584957,430226765,40507460,29143593,60730283,1299511,628474795,447288855,465329193,122615316,386072876,923298507,190658909,13119769,888490648,257556540,561341958,339394710,295753954,118485507,202387935,690807430,969804689,558138098,176688191,767937348,918612975,921183393,913051011,786791575,990585885,603824399,132073529,339658124,564826620,984122679,470971076,649293664,864579736,5093252,720418591,265465508,120628545,774313336,396087171,318857761,813188721,45179827,687577319,89998955,58574170,774875214,739263246,29384005,37702632,58537191,107620223,639264915,281312964,909458555,947241030,748937888,175857638,176427891,110304581,180301058,3661706,33639313,84524157,396614043,91970406,432746632,617107160,882939726,622212814,970011713,782416966,597698336,567423121,405914026,862770284,390125804,973966271,309845983,254203688,441590872,963165537,748116026,507366211,99656805,427548474,290329375,576179823,378502933,612246305,397197886,127842377,177988780,177507337,185825839,121744503,832622252,904950004,565038994,41467535,283225272,160553908,384274043,933122299,810965893,606910257,489262321,729258533,123754693,538230679,134769669,545270361,455715563,896887510,192683218,767688662,636466895,891390597,63379606,493509559,36140688,336546093,401483149,106730693,440030626,701725941,890903593,344852305,991021987,420316086,513578355,424637310,982385452,140035148,632786899,179327061,864825647,186672638,773575214,930524785,252908514,516572888,649008976,235188047,177859665,67103358,389556595,975020481,410671543,119903504,455270180,59672004,799464605,281870832,28302160,855967333,342796966,170854259,261109786,685818346,732898664,690516263,868175314,596310147,913242241,854232764,134069343,727604274,202908183,446392695,19606332,846306897,465972730,892902621,161656885,527664776,395935107,182115395,871903073,231094142,486318713,821001808,838195046,834823059,217004377,924106551,989063820,768968652,606096321,146175990,614461446,792471439,870600162,756806650,384666549,512794389,418691417,306837201,76286206,701789843,767408172,411864588,730582386,412787719,497469416,697515168,595095072,416537109,469458676,385469531,695487626,377557857,891705906,970962357,341929442,642202624,567891479,431108097,593678314,917889312,705953653,382129331,547039650,35017396,814175751,295723452,613616995,20099072,574186044,170487707,984972517,488343722,940824309,492591919,209445780,413737042,597107403,34752340,877976842,730171682,184852249,820098056,337951794,131254735,802740879,439948946,523005955,288401562,428691835,200954461,25827851,526115199,391665759,197785840,424821590,546009823,724127312,113823477,788940310,330958005,283516308,102242832,636516458,463602609,345554800,109281356,277204845,461322007,787979587,679689355,952493533,882292877,955139649,29529529,567783705,717792082,300802428,919410685,366629501,331111067,509399791,815963447,599467467,878893565,419423586,471358511,237504256,819450587,153136994,916585026,453448725,780363409,902060263,753605562,882142201,180183209,233212869,755392259,754405153,787496825,75789668,86828644,925711873,198304261,631189285,202737017,581323839,314289139,8190635,362488030,981011289,561221671,146569183,749517803,300398388,649406309,870736762,139809449,725368630,41218295,168306679,217806732,733359658,38321435,219408894,773653719,343162300,138846111,523979643,771173464,288562185,463108743,776060174,731563636,968532695,303541014,996176357,511658734,12388040,497463648,673837929,270458666,987639300,3189899,601567436,506409190,484397217,59262287,576643563,595162455,249889979,185105863,312026612,675098123,53914180,77017127,649144729,564024223,975088830,670669143,284913492,680514905,470411125,121706766,248666714,416157673,719805490,266640447,9142116,471879490,433225354,768203371,106906336,95002365,915692307,182623884,122999673,850067910,588975298,562663716,381679088,318782017,980636706,344852410,294544256,749992337,47947646,567838636,159758838,325507522,13727067,84847987,802830161,980431195,389263239,228414775,106026058,979527013,741236442,242089696,293280297,111329394,957440228,431939072,688756619,338330305,358807818,739951106,920145848,800071443,446797790,856931945,930703346,651895374,691955141,15353968,568131368,82116936,568034940,449591222,790583271,868405479,447946956,637593212,4013086,380484775,858868169,656647641,550119671,489856533,802014694,600495273,813058922,843527285,288142472,750286132,810334536,145025198,796644276,132330164,621451686,55041365,121840625,942700715,324853889,759068246,500930641,579526824,526176032,976256307,911675065,680466653,698406177,107313220,460714315,482544776,563034282,625815097,355570502,13418757,240018175,627251813,871476826,531020103,839340558,369871222,970316765,2236561,721965137,589809684,778062565,443280537,475583499,509039217,43985312,114956511,596656795,331526489,2366185,283163991,897992156,78210158,625085925,768980660,567786546,792170691,709386877,698003959,567176221,668051681,900821921,383802451,470576833,392244288,265876872,10841287,671261813,48743517,799882228,204731129,885433590,490002786,156047812,311460050,309670284,928783811,206122353,170302832,659466240,957262431,961188298,402878680,632465474,715240529,364562883,84310006,903919629,464845867,369877798,151434961,483594500,545947299,629165037,544185109,246318437,661583067,438334121,38558059,761458875,710009127,739121255,357455242,882979048,642198287,410674759,815635675,495148606,745945399,605386386,724496245,924778150,336825138,364141636,817823474,39482370,59276128,935253335,980117934,659324746,56393104,234622397,826091158,757363322,796753552,726709478,936960829,955100955,684136815,135144330,352822050,28763099,179585272,407092721,351416276,478117318,66250121,259570192,768019885,796875393,974014516,876424606,986015940,847062398,958197005,755523137,211105823,671074569,276942736,566496471,693004857,946339808,153413776,246413837,362829435,15041915,136912476,385168602,48259886,944356214,753616685,903438269,219865223,337133761,644404767,514856961,379089831,349820651,286310283,539325945,328532268,23584006,283676605,156674674,18452770,366167387,628369239,331644284,813881022,164060800,249257716,694580592,89785337,117350824,486395368,398161964,822630353,797168393,797913789,344421667,182004253,507167506,442667278,992312313,112139967,620625210,698427418,720770876,760800951,419296669,502479415,659959438,517332183,627717357,857331941,774574070,276690402,568068206,643371068,984177122,743945614,789281903,69683635,579208539,862603053,881819135,762424201,133161271,560261428,744537248,637067597,641268417,646781334,543275334,193559960,779872263,477597649,224878155,339153109,114979427,31341505,705028754,906476107,158822327,980285697,132563926,136985099,315426872,381862479,194791527,956782923,888128329,679110085,282542795,633208856,341316673,382715105,794250114,429568544,164496257,258232919,195789832,867640229,917772949,243596237,861442884,223432920,754117646,233704458,358774681,432659212,663138747,770072067,93392192,905577846,889053919,517024047,287468451,471198888,259203476,159380811,788718226,289323682,120228767,423891804,5642756,922182092,96796750,664861962,313204607,600185832,85141697,886365782,619314977,712370399,531402261,657510674,451988200,909710802,24408463,628996106,776658265,116173753,652168710,763221739,16369198,660952623,606465063,272738169,920042100,691876796,967947104,375388792,612724912,252822037,400165568,335508669,241429745,517623771,132138225,60014406,370722653,33279050,539978266,72263316,213857752,244549587,506392811,977376664,553879949,257570238,130152211,872765227,148783439,740072107,839018867,221329179,169196146,568973677,256589502,220651505,939608334,490133986,208674268,687055310,101461074,494015970,478374743,173889792,443162338,624587032,558398316,430105946,119898962,716937587,198902422,641657050,738596308,123257045,108574887,990769445,588655333,884604777,393026293,561932388,924032586,38038165,397185332,974349070,937804937,674357147,760654994,272726656,911981376,645210756,904117268,149188059,305767238,477815004,530821867,248209800,683207566,202277902,461605704,201734322,855836681,86940338,747128455,133750794,729313337,692560018,399395014,601323983,805422151,825647617,986077074,724721228,886983003,854647188,137088128,236190729,895368532,297310414,386012943,987053550,395793650,353844264,373967426,368374563,40320203,1304478,576583576,389531050,399157187,562093966,139346053,148720983,897408406,105539702,302518414,832069887,277105501,198393604,399867682,424770034,609161390,960161291,953893576,369878778,116481174,114046612,702221785,13385542,704047417,314961564,980653684,596066018,246020963,887958120,568540022,405565996,859348351,435337214,346737490,809013045,811179794,2617195,72586131,499834418,321449248,141509095,537779268,463581592,910656117,998462647,996351965,592594978,160664796,544533809,276446784,462802892,433054989,724898840,85692447,729260681,409961628,746895365,450446789,881040567,722613851,630386019,94039585,944891207,398130030,682995567,367817146,792781949,102273830,539312204,331371368,172835541,883077955,763020047,784385023,412193453,297501645,66282355,358942021,659153754,921888506,522455872,548405040,541662524,836511894,893644161,142310550,813118791,456081713,577134183,467631175,102154198,124586569,193726182,924330731,143138720,446505563,265306237,131294605,424474886,589379471,948645380,469169534,784306614,156813266,763730026,857065413,159485511,433576361,381750993,398522565,448390460,543278364,611869209,227905191,794125499,359938849,164661786,716607737,655446089,713273694,130143360,488653297,38558440,616876776,486240021,506973866,143376539,476507647,577934922,544776470,364712218,714421114,252529012,948550585,413634152,985626729,909929633,814558983,287151392,124706403,782858808,66785087,630675230,217565655,365073851,263536845,941372026,196945967,335312844,561238101,10207063,301416583,639644426,709203664,677388652,118826182,469784456,953511360,812637751,403262451,284887214,324508775,476667689,417698125,289272662,937532146,119397016,171505574,79945350,937430742,158299929,252702951,282839320,32513954,271329808,618673645,826648750,560798105,82865562,629396901,789109241,690062332,507366224,417375135,238346833,552338806,612464454,834871501,947409330,450478343,453619157,255511334,872962656,649020174,216851134,902575043,151898934,962647908,281274393,94049845,990359823,548348429,967816935,204398871,425481996,162202705,405722122,953376929,806652644,913697044,752590217,802476744,668091182,341815893,646651686,76489449,559977031,752409332,988194224,771846726,290027817,3782019,697895763,306289108,713005926,415750382,811540103,1171407,682739375,458361602,114666538,454027964,380401073,727479619,355551937,865299354,661395338,413675003,261301252,537080286,617168246,282139395,828024664,794002470,550946954,995994251,360206226,209947941,542394122,328651734,865261275,630487368,539068343,508372767,598901797,40341750,133931993,754526374,781145615,381562603,76559505,85655586,59058562,646792669,175931740,210458636,600754749,704250034,131062778,972073767,869888901,957436749,484864151,577429563,533728949,169626743,753793696,532601608,356187773,810938869,465707150,150205581,485820466,780802277,212492666,956883304,170512998,867751977,54339086,293186518,204416850,953119079,478278168,687287622,714948996,928832814,10438071,647913500,172177082,156829242,627650401,39560196,473345998,496565862,957310889,733170016,251044400,623399045,215767644,761253428,69193187,456318677,562776235,175716916,572481624,104479390,499699595,188588151,451702022,806443970,921385339,328803284,934677442,364213209,638239725,669351828,281122124,526646052,866488167,604666657,488802036,630292935,214927688,837071940,141538293,843556781,92078948,654786466,630701352,224122555,647063046,312941802,174748163,540404840,988584405,618493780,236447486,319638949,376789905,683695868,107598582,690992557,384663682,750658989,355604451,611953574,979598008,441611218,549236603,591668355,576280797,475665659,592672758,822081013,852153879,851267606,810810894,286985531,457437970,751654650,735968375,856134031,185864122,62601430,907281458,593516140,167388163,89107395,640699799,535847812,13452641,154372161,146226393,369492725,710231427,235635757,441060837,704044591,951301822,267689437,695941550,81858075,825406743,737687142,875980513,816835828,72143987,273058407,47697397,291384580,124238055,948872597,312833850,725456692,290012009,682647339,264699913,562895877,124241422,59071704,928558413,691477889,118448918,43867023,414816189,442303356,358842866,411528257,50053583,288412163,234320422,237941954,397234704,732138091,472236888,976425300,831639818,162906638,843496770,45372721,773128196,270885460,602417894,47648092,293225047,481059680,285875474,597541793,494291542,764755697,83064005,112054153,987193011,132082062,240976881,898685079,745500620,840604468,171502537,652232130,536733612,484798212,2715582,180648307,264845704,550546249,966566812,418838020,330703437,610637438,924603572,108400776,996184690,525246776,106211954,431705163,60011429,471146335,629933227,654629850,609687984,176221788,511820880,240815206,216383711,857705798,285959480,526789216,579165555,524358478,912079186,627467217,186255826,721580186,612012797,568460333,446756535,714277801,988735675,953327170,618170835,915666464,235858580,944371284,812337510,567323261,977353318,871551360,777781355,608865313,733520311,645613730,609983317,946938827,414731933,17823345,488424910,683493248,283082785,960498397,510929887,972964020,337555639,404620024,817179438,634675511,275727714,932340313,945490322,125724568,153394497,131530124,282253801,279907232,630419208,471999492,490319653,883118084,587204008,738936336,809110708,471057793,797211607,27334724,859438375,659194646,206268531,972739248,408427831,105299391,825568904,981689735,708942213,643042291,161127138,723734070,420655779,204707105,211167521,22362841,808841947,174559469,470303403,758953780,66731869,56843740,706495151,351395588,956046747,522012386,235160745,658338213,648688243,354135936,218332179,508016882,680024136,824701592,302452759,846806099,764899527,47894634,6652627,375369046,830121902,314328655,296438943,350375862,483294235,19670014,1932520,400144924,908847310,614828809,786555944,152726567,516215738,650525874,657770761,568147771,408214058,992205475,611478042,615277446,312514355,454142882,61998975,841007365,960025665,729777119,997477786,224962812,145390433,179282525,965882122,547050963,222477178,780596772,151704332,47174180,363388766,746968708,790735471,815499557,805233417,166291342,589618657,794133062,62874767,175562360,689418453,284609182,936930642,39864117,909595029,382180606,696204721,106656182,295662002,342199783,313710589,204752962,5366544,796558303,126043997,879801520,485064954,41764357,250666020,364938853,500565883,266830299,614364924,776142049,347407809,613819933,598225197,29557152,26968956,648484294,849911709,286585365,175305016,118946806,384300176,385803072,688802096,479256751,522571595,974859336,605428655,307459914,752459606,425883071,571959311,920621491,938731042,520243818,472478919,341157227,315832783,329138198,714873979,150914046,760746048,33177627,358516264,545630295,532905077,453855334,95090984,768489628,401361831,656212862,404696317,820847917,201317505,439095185,101906154,10430277,901568666,118141686,804141776,942461657,658104125,408614134,735159862,920810848,859651755,378362314,753337261,691449628,631665807,152178879,915888654,398489323,825759641,824100236,85406807,911260352,535156227,752232849,830580958,414043117,605810090,641158516,631076944,967031125,826347746,502792603,722439669,954936619,540119043,555407481,478802317,188025815,343153308,577608018,665951667,193358826,816203737,534525164,824897715,854850199,819412685,454824895,246387198,853368365,857570825,948255969,902350306,677913280,979587656,709892622,134401000,21246010,517597097,781732870,152760461,344966202,335207820,611760852,432599037,691413141,772396525,893752510,518760225,648388078,527397843,694467369,691016291,466205792,513940944,622244088,949144805,403987195,841391731,894358038,452988480,802220966,367066918,834334876,672489115,816157970,863807236,80901863,477838050,119583078,843604311,683574849,8444180,518153589,803958816,669390761,444513118,185326762,58213733,539853816,980238166,119950347,931035007,536696188,790295072,415486311,57116893,215930371,673761692,767622921,756797789,349916104,282559987,411180949,539444599,374058015,454076129,750182128,223244038,518935415,663651512,612382773,900620670,583397168,285952738,769338355,953638545,924833584,324942928,229831647,884338522,184486719,22244226,784614482,778215065,663472900,18464169,962110590,423243212,358881200,359801041,618093057,912164809,31572509,148749239,954458053,196669505,147397014,379317571,877936018,477489791,33694633,493784788,226095220,302146394,185577159,538609659,203445465,335265502,640665393,978997696,477092658,203554989,673621648,677107419,816858691,197850853,991439207,582285334,962787356,367910793,156929699,930151981,349204878,336473842,717318277,965288662,765245767,190553265,978557221,903976697,941157815,38058258,529199890,956002618,448455536,678142354,287270849,275272482,115004451,962700057,856393714,991739431,741740215,879047593,892067178,720740209,245978196,773081990,352560897,858457161,144301417,903403348,637045501,560927975,121389115,390295380,26312819,853019954,207111242,985091797,99930239,529186589,712046418,42826895,72445921,415094526,940753674,655562399,504844599,485787398,583563864,655285001,440959043,429856024,988819802,88795516,183762429,886595502,640795995,569973802,433086672,859560589,959336337,389301788,628447723,551625392,928328769,366059163,381989753,168521420,382091957,890009586,213096978,333438591,205140414,269872734,61050751,21253928,379853025,628864167,142031623,451998839,943379750,591023622,951390229,737777400,264872557,223032396,439968999,325421404,163541760,739332363,66909486,460577370,454293130,392007755,579460658,429682346,595402519,171165134,446676127,873858638,114196777,329210619,215425923,297349581,477347859,467284279,180613671,77025143,530802926,309337923,605183638,381561720,350857378,260625055,414658472,656783628,839198853,945803590,820174032,444359558,293755855,786914460,532930786,77287096,170893652,921844764,896284956,108578970,176542882,344657216,139806401,911669275,414550047,719344367,833269958,634970677,58246087,73763132,748804179,850727225,240639217,419608633,78591804,829024329,40790353,574628703,485067387,292386771,595921638,280772584,382329516,266028363,133394040,944227656,869304418,548184118,744480437,421615174,803795718,538330959,93898877,88264803,711254470,508349999,219725405,468241873,881497116,544377925,493844656,338392337,522640931,927684478,454442435,25068134,579680349,19185956,169871194,104877696,782870077,740027971,868917423,437609332,249337389,52937545,902448492,273968821,838372145,303971026,370271741,933499980,950471102,96217327,752094240,465189797,988884973,734411149,281850473,176748130,447843380,914992627,566718444,21238955,876942878,989808825,395126695,432505138,419262843,452320810,210488884,772334592,142345486,512320831,317486343,687672403,956669636,428044591,860387608,219183019,843390750,381338429,209621043,61590845,875789191,155144869,542397984,788438747,821100021,230002830,125320118,313192652,53215268,700280758,6475673,791832219,452155877,936679807,32433298,497611533,127879262,445246747,737819475,131025606,316092859,89542725,560199245,915749697,499187697,760376301,207977009,878494163,854813853,552179383,428042878,459060183,763827591,304123919,650875773,697925802,589473231,365637287,452996377,262819224,665229785,272611222,870950811,67517789,523045399,294362250,448259243,522824567,483109534,499272907,976494751,316977261,557979886,890373813,180648743,753238763,142734557,597809831,417113221,530888231,39517168,74835540,470314516,360845164,40570143,16398937,370530878,732623351,98026004,557439294,741971862,18107327,476019058,823120842,742670730,503754677,872441558,758953903,599731755,45424343,729442456,725335493,703805825,657855139,103716972,134040675,735815327,858331416,978564940,759951254,685406067,51463272,161586469,232878003,653658655,66436685,736156555,305341934,657827092,584702159,488590458,709904649,907763203,5282953,695713384,158573427,896721835,761686101,811239947,833432837,702913278,649557639,5706430,802244302,886173041,934678111,105979083,265408286,461691739,193564368,276620931,499449974,784681712,733696258,663052848,783049718,873280545,452616226,850561393,505096914,144913651,153243869,453879176,38365037,958902104,195487295,650270582,228840938,917839613,863603968,298682808,621054446,167543409,358789870,868276354,280804326,374596204,322753300,57308801,615711755,511448558,317023369,854960621,193494528,440305110,433952841,221882373,672491618,570018661,707464243,524643636,871556065,874358759,976654810,438924571,430336233,941246759,829484027,400312044,390820787,534622585,666897166,444524334,4334617,138556249,687306145,870837449,639574271,410249555,625388502,374748117,276057746,217031982,675590891,996142155,807026201,117091271,300968076,619325061,769575419,932466127,187627430,192836459,933056231,277838880,801363274,653868977,214049132,506913315,969925852,63397372,9329009,917591030,619124865,881598223,787257911,565605831,259377370,649593079,895734874,720598147,448548786,981549471,971817598,672927664,908464128,528977172,85476263,352278148,137985178,767324733,674395146,471310141,416878622,263626213,985526375,551133376,325294337,688236939,21856759,708650268,810605732,315318543,133755794,579063940,216014308,913890770,259615637,254822442,587490633,785394181,334740369,722906568,573251844,40318339,213408597,811763687,99189531,946827197,998851961,140456357,46469424,174604124,308706889,587342760,664951844,501726538,123000244,758229424,622513545,595284984,886995107,597101932,605656454,135584667,941096858,415459014,460497594,823773203,981566127,59718919,958348400,428708813,982183400,790050503,529824712,92858154,99216118,449149907,863913085,205107600,99315620,631884992,900830810,335542185,830282810,774711418,39903375,4538865,863371065,178860404,21647106,528781892,951773446,357460194,512858593,339840818,818413277,20397423,910670880,404349021,929530296,924827091,542317885,262493194,26075313,423171762,742177165,188056875,679601948,774883188,109899404,18818503,289712343,869542107,658583165,440539147,509828253,738713920,909719017,115024881,527956249,374849852,202085776,960322202,120276597,257525308,447111761,888830242,666103532,842497306,922529404,963270322,480190395,424928838,579668099,667677054,355487380,626035288,893912027,948597222,946950758,399836558,460187944,701369001,515931121,412791986,502566181,163088501,95177809,869800535,160213457,273914353,615474514,629407518,5648033,942228222,172958853,280911475,246693365,736274995,861507335,825607676,563496698,110875838,269990826,219130276,629771302,727370566,703036516,176946719,189770554,589926260,314718667,4741966,810064771,143023331,745419089,25480238,338688541,340146062,863814506,888342289,224326007,533147836,449947692,303159702,565896553,273893607,9044623,882384941,448030280,14424983,484484771,365827044,973671866,786916484,567258722,214721761,43051811,914217937,41253490,397795741,805750609,595520186,265366743,401260201,746088412,960167547,419322906,277195708,216797953,214957596,86690845,806032087,226608082,849107395,812985968,812917962,373208323,427971815,326130096,737189664,771849871,813089453,478668986,20641802,674350829,37217200,641084495,59138492,968226359,235467161,375700467,388780808,411421856,459611286,960701528,595758912,85360132,53116232,442319348,221812899,621803476,377289625,430986034,424837220,168584325,771378244,127538056,613329449,672845241,685151276,509556530,322841452,447699967,164923157,329244811,245490032,326964219,685096133,814239922,232677793,926306015,233315879,744595771,938457017,980432321,582594856,641879955,691851156,190889773,467587132,266410417,974711315,41274813,223052967,846012000,588744607,697734333,532125795,821051369,716261507,290775111,1714045,912618388,198931295,914989605,959284532,223796303,12279611,334177055,594842213,388294018,719770702,461732735,104392020,252984152,613866898,884545116,222180069,140516383,23423854,945878720,965591379,191948532,752300669,207461879,430474527,656468691,306492169,912306463,92958364,403423377,850873292,313267380,109018448,483515441,36843849,692617773,990793202,386848323,416054660,404592204,390833510,718961662,700313291,201267927,730318442,440381605,439571376,558275589,96038706,175646570,695673332,280775892,909736072,946501901,490520715,425072267,230585352,388436859,589148860,731285277,426402488,841646984,19695196,994434577,955631804,328373000,24390280,939094962,594131914,446148963,793778915,811262307,457255494,880022463,629591830,779087970,831529102,850810937,885194122,606355222,414573319,359456203,324299903,224419166,882683700,734881081,336277422,584822066,861833018,546304246,922610726,589039183,140707576,626039565,825079159,662448837,314348137,580984723,475418159,999961996,197374916,681174677,356432918,352315235,669165156,634236391,428039156,186611321,806016509,601519025,96661717,814974459,184205621,964082610,817410011,731583202,643459677,315643767,126081007,66366148,551058710,512277048,900427045,249769732,61542367,862752810,505745528,355228920,477250609,866423079,486167974,272113561,605697490,775317665,683184779,653899289,997631626,678556837,928383373,680186015,889385700,805339806,806573340,589352104,659680801,787224319,489644599,237407015,524679431,258120315,921655578,840169841,565121553,332936256,294123912,54997852,992050943,324019534,538623976,950602255,554778764,886106854,347629143,933993584,925065077,984968724,693876453,405733605,108086293,88530444,602639802,78622713,405123737,623720592,311821837,276706600,520056864,290912456,987628000,774755682,963368315,208388326,268759446,398441247,983490898,679638016,923520827,847651952,307521481,130592976,70654175,941004832,400097931,438769481,466955635,265293456,56100280,742064674,142473369,854441840,139035740,643305527,705728578,10652322,138913110,904548980,308536992,655319873,862678448,508532456,389254199,129550314,496621128,600140692,349828315,799307731,608833398,956326135,989620149,842625735,135771202,862416212,521037480,440938809,320266946,248763769,616564646,443476635,708752233,442783579,94181367,94283924,792352497,600814622,253897205,343770488,710275664,12946099,602291279,334396099,66502283,131852772,206587492,663606089,837354577,396597273,342258212,43871562,867973666,461717253,381630778,134372080,516647814,5616833,247852765,922278177,269713069,174468676,824710622,927270186,234885195,767884675,674099711,629228763,826475622,912907552,381730052,326952553,925431836,606337421,97529742,521112416,577841385,224388469,399277485,799334212,877518602,551915127,578830729,701057974,472803381,495952723,870040802,585350734,110887956,937282914,804823633,814372503,213883392,778032856,320551659,389786347,832032943,249621779,77769345,730869829,169678330,985041364,409495128,999982627,104593700,630750176,220418243,715666992,366699731,621761838,784446040,321161475,950014826,832217626,485895092,60937561,190432955,16015023,293401277,960143062,944112978,218178211,950068353,555544132,84590396,421254799,773605340,895103051,963434624,45745258,853630996,843249346,27892004,373892039,909187431,892125291,880234128,226406735,583611563,652638377,412728405,763624842,656076756,472528738,155229805,960750227,570482309,621087012,383683489,985801476,640722445,908496770,146875600,183141487,762488823,167050075,444476182,472889400,304660674,247403607,772249519,647011050,615479567,298273242,200593131,944402935,730126277,909725833,608093574,734137353,980376073,46927247,483760579,942752677,909812560,151945919,555662282,910214827,277870185,559442281,100148938,937270762,602235308,853757388,533772678,996842306,994611913,855317360,958608093,844508171,400941585,23309344,573739316,524606879,936068675,841591421,746587726,357280174,194745931,52267859,781747256,390279553,844612420,112645336,690376423,218211711,850047309,938936941,978729383,241730972,481611581,691231701,442470144,63830228,113364147,949883678,173799432,879888820,305288025,934834363,108003864,142933464,527929947,807082904,457693527,300290304,306469817,764198844,205752179,184557903,341829525,674385389,658831551,126279990,935554649,610861904,859445849,939594508,871251514,599001103,739703054,882312385,899189648,586241329,597661747,444820719,213661949,83433685,510394756,762263957,611611364,830889783,70640537,514512857,618315089,937342825,122281658,815672440,319020581,499705316,274422834,940975572,980878798,740332277,826425550,950477091,136179165,543708016,102249918,215639954,572055369,753949057,669426332,171361151,113488869,665129711,553874755,926247117,848701050,594782252,199096025,931204646,355225953,235898822,436669441,81494902,349844549,216886432,200265903,178299285,428241342,816418925,212383244,257655290,548864440,512521854,763357075,96534639,803624832,85673861,711173183,453980323,651577819,909175353,269591856,978748624,511949007,721167265,137988773,558271612,419411620,72592186,874567866,340195470,762314888,760717792,18022114,23622279,666158573,63288432,751557252,209572908,541987270,977244540,887365879,522521086,638476200,682049631,994836371,744149126,44257358,868058520,665390554,669018151,338329318,957981752,692472399,28722247,230726534,757282262,408840656,66539194,544039005,904100930,38934295,374015377,899703130,475805904,862675440,452687044,213637027,809076628,686019609,926308950,571700800,733110574,942873865,716809818,139968565,997262732,503640619,422127631,248326994,39265692,881859001,281871650,164573111,417999405,91337650,535220790,184440822,128599994,47858942,350644437,20525244,162237578,73424099,137110164,74835958,429599367,614258924,714384727,533930764,607740901,692159169,120390614,816841085,422894861,699592046,784228641,572705121,712543900,40895399,426955698,529559158,777408506,194031277,438361988,572012726,130606746,679335991,408287937,707658221,759194084,68254426,63896421,938981841,852542141,31412826,352042272,442171426,59619798,5931436,848652240,557405785,469452,794353973,413790416,231546630,717339866,814224710,761259328,569293531,715637927,803616900,801884389,793894897,264567501,892355933,762572035,473190324,386852283,934984893,6100069,352067353,240818121,230316041,876348730,653184143,136634904,187382996,403215073,663424704,640143886,204766901,905192114,146154696,47289825,427718187,607360875,477930745,991617266,627643338,261291489,100368909,846936745,818393741,656780455,773927684,890079767,839105519,666328121,488719003,184432821,922397341,798691039,266654772,839071081,152684094,644219104,814070951,274890154,421166949,782680750,95617312,638577561,452745832,937127183,239962821,380246877,285459767,336606339,61804210,285220169,715638013,572414365,147947867,497446450,520774501,860678253,128644034,636499052,32331188,881098628,314594965,922361976,719541506,83432761,88195814,486799846,31544917,579003109,881135097,166251592,311163203,632889659,808689999,336297578,351629130,813743753,102813884,361965546,496914589,170871507,271684707,361957701,580640291,69096200,530738840,966272935,976567612,868551600,179459822,758308102,971098025,847183567,815545321,770130293,860782814,614476701,640412051,220084966,435360363,517313655,194855852,330223063,487833151,504751127,106381593,504011759,894216455,239554318,513532911,93081430,238958592,928665287,749223770,681529513,623517303,632344049,800579581,130793179,713495617,587188901,865188860,462766004,906091784,231432718,42850671,854726594,244093281,512450699,956519123,204662748,318289352,579259058,995278506,19966998,237124823,567213824,900531003,218342001,491823276,319347051,892524386,154755369,890354872,485366193,837368211,566084130,641565019,287823302,298923274,923388396,138409658,284368657,536049584,118413458,955873473,53825828,937720311,974677108,827741536,381794571,435262179,639287549,208235001,288071879,208433498,739991069,241393320,973382434,344127473,807204275,109702691,590081556,586102470,376669458,886114464,226876849,977358703,211476682,387252239,547312772,641035235,307576804,633586398,177390274,393552819,379013803,981493329,940576108,925462496,667544857,814462982,645974885,128930788,164123115,98469962,307282582,723306474,748041705,727559233,992416160,893761116,927075915,210242437,976663697,449165652,143148826,330276275,398638630,871274235,277540341,433223545,651770020,876795154,502620262,478040576,450215153,915149601,543408502,616575590,390433334,411279091,803835966,765330182,438212596,332838317,466967006,394341182,768988676,225677251,137270347,127670475,610130485,639472031,635674871,390212380,12485352,622187778,617482464,652298865,465384255,460162739,584114392,97285133,883845596,693332518,76153751,29249933,407775489,97661218,273927432,523576585,92372540,728901884,53442047,302098902,873516552,62054711,583199284,704158105,152548846,429564522,645024331,794800908,78913986,50009324,657223707,736821736,606003002,726927743,712736290,194261012,494447223,535190135,247273706,546682767,374207489,903585543,915737374,939201144,234556060,533951387,771962919,338718846,986423039,914370398,95226875,382336949,662584847,340269160,248483354,470967788,728725968,466934241,534471796,881692013,230479545,379904230,338215243,318656702,104883052,151730952,976975231,232155713,951198518,918100682,214630368,428286483,414528801,245616516,908239634,521226205,782086579,427397355,392020524,581010240,927524606,349401164,285354569,448537013,823975806,382465002,250506950,798808150,382346939,195562197,695408241,802782773,729343268,293596838,70500571,668781903,545348230,144905689,804091690,150655098,886698831,75267747,893576917,559431529,191975545,554859536,18096756,746567288,125928704,891605013,576033663,925356268,663638119,232189500,818532107,250516720,2315464,31102504,707670272,310341594,468510832,551110480,574870655,925544507,681616496,788333896,650917473,560758297,111569264,842255575,913646817,578908689,292256582,171018668,975170407,312508217,411612946,331241059,683106522,398612112,625199426,896041541,539673152,635713515,475876707,334446047,359693198,755502825,41100554,786137207,958587167,563951019,716000312,812839636,278627633,840763795,882821823,972791859,307224842,901776573,624051381,827757436,699068299,854683094,371241394,951529260,496597412,652637482,837431147,21089965,464838134,779282536,671006485,192804425,206055930,23760205,866740682,49268483,95962094,864054022,378323558,734400464,526969275,584986917,271694321,580534194,999651458,488350207,499296925,56805446,804747564,363322075,924916630,902066118,806215172,664353061,518292421,888068686,417505305,86879959,823666649,411448204,705993118,488981154,281487532,966416878,493397004,300826413,125804414,97381819,127495781,980710675,909045092,594072642,26255185,796553574,229658923,980835834,55385113,552352244,77544969,542268243,527611920,505971000,913689003,315615021,508409711,337638480,467784613,44917229,414206139,487301763,914329243,217899058,104418525,868450522,362319724,414706512,691137477,307146782,571190616,773203648,652019585,450483992,519301802,871180480,988781748,547079931,990430342,249640515,525596923,34467639,240381025,338572984,419378822,223803808,325548960,358936855,535870289,575861770,403478760,628770254,357892256,244624903,972787366,831875134,902587738,823944715,202021529,151956272,190332948,887414206,583591361,296985527,545315767,90659690,277159930,406159755,835727440,251527557,872063594,67911442,673584969,530013805,5692192,985643158,717333278,411004349,186228878,98796417,250053442,48520036,87557258,580152607,423358617,726471847,751040013,148127202,283150641,951782185,881035141,918658721,9912402,967779847,674270613,679091521,868877312,184081622,85487207,168163906,43742570,175603454,22855325,208993781,697011379,608820271,4054153,638860081,273672570,318556825,7747608,460275562,20794958,230991488,849585073,413749000,571484199,971503507,717070807,526306621,530781114,620042413,767408866,453791715,980701857,792551934,964148491,499395853,54938896,269260165,609427695,460154009,353229187,933838952,664384635,200517290,377617089,144024476,519946588,613897340,954950376,508670024,885319998,903814716,845574007,767394457,53131253,342219644,364942629,221536513,919395927,31803873,794980982,946404374,583408458,81178689,118668427,931395896,378845780,973901046,632923313,997644144,772294835,332242413,90101407,706782441,539285425,949776958,497701956,187777411,676270998,325571627,8326525,945082073,909756032,304066075,713957548,321399845,847307861,331772435,963028581,484807615,984999567,202765612,452177476,332204325,884732606,611112184,9850400,551548985,685251216,555285594,883457801,153418136,234993980,435263449,975418989,131540712,385508001,378711013,727673122,768714569,322502371,792857983,248037118,697011317,547403462,522913563,120480094,405109714,590791712,133358552,685587018,798066848,425520757,638827472,607013511,142175604,388205612,767346163,451761201,801702887,478728656,819179457,292195712,679610881,493541232,644331909,441597279,337219090,900097079,481153362,630860432,778453696,869440448,391946963,593701412,543396509,358964674,173370410,543704719,38355573,301530953,866667815,63157013,340935639,505001734,181053759,163238927,446868792,954887345,920286183,746739353,18940541,713138023,458201345,11166433,116204699,664340479,632396386,177838138,237644222,578261215,223816276,157440659,771911423,713061115,358919920,776685360,487960649,20317843,106890020,333513885,447246279,422561916,622091557,225005129,45404173,284174910,947941571,530041397,604580418,398913041,728114544,522742294,115220267,765779093,133446011,756417943,933282946,140635326,81567016,238395439,917990043,703851877,104862581,11098374,722513684,571239269,957598268,972362108,291102674,738343250,921522583,843651269,20189671,790878125,231311449,740981445,669295367,572105219,291246871,44530129,562831038,14262637,943472897,584458912,861427010,919213068,881487425,62973032,297064923,633602006,478631759,550813290,928770358,662131849,248287420,433549757,393587837,234998678,752143347,979282197,368654312,400019443,626652166,288943967,689834202,666695315,134216473,610498122,833801593,229089647,223659368,484876607,737308125,167331058,2689655,93837365,820236228,783976727,662711567,801221856,687170806,407682837,762801549,157711360,603871847,339062317,888125032,906029490,96197535,205413627,592545252,268473841,937762336,750949359,352280553,806689058,254844734,88994820,854849203,872971180,594090493,490010431,55917788,473216152,465756527,163349034,644799571,416519307,375156043,741838556,379745065,690953888,977580942,606609922,388704608,322126696,28911393,562662762,500143428,809198787,850098402,148724182,992368927,299830765,897424341,228370891,452279774,855816199,485105739,625184121,379039627,575058232,109892165,888409911,773238494,381458138,383746535,763613211,520180524,759567013,634690389,310172663,935801492,718550637,553653134,679350549,852495699,41625283,641814388,926957733,881838740,456547302,13397495,520292443,65317694,771970046,854120390,901903908,117623581,278439108,113587513,270953501,993171619,938482350,522051783,268924967,881206070,212788268,623853297,798079608,728905124,966867770,653712715,615806065,795651943,118287697,920052531,261273994,62091991,547548347,489998096,171901713,772342113,959901414,901273571,349719849,219990792,700707398,996236165,278344350,491780541,728016075,427521596,324362233,917926331,258085224,159942096,802550481,825716105,84910421,122441817,436090365,83166638,749019528,573553918,104419005,75025930,694761218,966965884,387883452,167311476,811897347,319129981,984641182,907021698,776076407,197537342,978090576,761447549,425576184,474092657,655468963,896711906,31572034,684794344,632421372,463116386,878904101,635188937,341867016,856540560,610488376,983768268,16263096,259694215,177833665,284935782,829415587,319451168,569073678,653188276,351101504,853253948,173822252,528072849,889902390,448101099,489777915,840481977,630598964,710639273,195123964,463275876,491155533,803125050,220326319,653309921,368398013,68486994,827128292,637608161,717465097,528303845,268174628,444799650,931161428,263008556,825347740,551567512,121983096,671589573,661147931,812070403,391623281,736832370,424696971,781827588,566216038,381402339,662993172,929685843,192627161,701703925,287745536,945450170,102258012,255829065,7084213,746777427,549739978,180187950,816845704,687294428,888707155,142588470,762783366,533326098,478013756,60939317,662187761,862426588,466826249,307450041,621348185,666156624,711982210,803667115,667661955,407380441,319134879,262803522,779292048,691414739,453795529,185183224,954267798,50548190,584015291,980969230,400542442,325597488,935642100,675168157,404704446,288388001,631686508,938695631,389010170,391489883,726728299,592216716,537965094,58586436,388157076,634544736,181304873,866828587,249847758,322858583,133386536,252633891,848677142,521699944,588341256,543261652,979056079,455508066,361097841,216635854,320874688,564222478,552897293,419515191,125672440,872206381,759851135,354306216,597501212,895767051,529930455,743338121,673362889,375021403,48536164,141462549,85045283,884590894,834559591,338082654,891070452,916638082,951407365,797181877,225226424,439434542,591932327,325814969,906667475,923862233,573714027,731389616,573886343,594446920,224856828,400736358,791856085,278035343,459227454,792371041,471789939,110992585,154047603,508003729,250813748,964103054,863137741,33324003,571348238,467501696,202586164,758804365,82508570,417390468,842610768,623781048,360302682,842161036,597570129,40027034,860727515,76857568,754751043,219115752,901365375,947402163,737369877,401992442,229228894,597137333,931688386,49622922,731847144,207783437,243080504,439566037,784821628,109312345,558772056,670651134,589921723,22254415,741268607,825859882,772662894,596909991,458658915,818481332,830802216,792698265,591132472,599734235,399880373,895355031,656516135,446936339,169353727,221224938,869146455,902468500,870981528,110409262,236476847,262526291,425101717,991118799,913362798,815818651,236952133,988782751,812824170,134394647,745971341,819239796,916874668,854451534,906936027,610941815,517493644,120798904,95089714,78799980,698210024,574110888,242834266,225748191,254466190,599460372,824037415,129714838,847462667,502040870,72019134,210079352,165059810,876762586,162042041,793366073,966247512,692893842,451893178,122182544,287677080,580883055,196477145,439112237,173659486,415086380,205220987,112647149,565031370,223629393,841097069,432554640,183807016,268259717,571117268,812545508,437380639,903547263,783985768,942794899,160694689,897207651,876265941,301848581,255264567,335584090,655852543,688162120,18306602,568075118,616930726,485550977,425585628,275470197,913879936,435972471,159983293,533340679,729496771,458057177,576671402,247562747,824210776,408473047,658948385,707039292,367979994,952177254,757249518,420237467,445927227,325705065,733934771,835100696,827273144,303668891,392461534,505284772,242700137,226138503,767463947,949457019,920563077,883719131,362525556,375621650,933735471,149734053,665079249,882328189,71246179,164006904,270767265,535370908,550191323,729885278,557141923,792593163,805290206,403226271,23108664,785677141,844280792,363960080,75847140,612557903,815290982,262430372,287784928,888532659,287191639,790988975,709363160,283304652,307957217,453694100,184872300,49855762,908429056,447514682,611037119,827737832,114528571,706407670,710655675,802588033,142673907,379498106,729083146,790093890,728623439,363730713,423684512,171763897,656840705,600729280,901426624,359698296,150726857,726685229,475205746,38484880,179917831,543975251,688207973,36313145,652600748,51819706,995820544,368844646,350843564,576253806,633899454,586668023,412665036,808026104,919635248,894843830,85152845,821558769,876755084,790674639,430171016,790037234,743229417,575340275,312358401,893655508,671335731,939662597,348539828,387611530,88454237,936164136,879515170,63965561,741415701,44280574,545580662,203641733,394928252,49421583,763411654,521799677,171393491,686139749,208953092,158083865,104221217,868004691,192154689,222063632,697879610,576095039,191550054,909872831,873255000,683790670,167536497,545085508,984763988,121030243,301674566,223115685,328452844,527723331,774593755,311253153,674289385,720231876,63321085,612595161,130286667,806989113,556443607,817211446,72220580,520755524,378319988,372159221,235378434,478738937,397284608,845432315,470635937,489273239,453012727,401907922,921690863,839158900,943065254,781063736,563563585,224945383,322268329,242504650,275517228,270547948,421911587,767684920,471525355,837752351,666262379,832700365,376200079,679571707,753931353,346912442,385949162,534056337,712333120,933092909,835758701,932508884,112983277,88794717,964026498,328655242,285410454,294776892,202003380,176088957,766926270,711474037,244916578,533225397,842931038,649309118,693142946,471745433,379887345,531102516,919623947,879631971,997438016,157906821,625439833,448718219,13683975,414344707,23589681,475146074,199217227,788627261,600784885,177430038,595320824,975553306,124989643,867691499,650140017,629582961,738130161,825121572,590689557,121458764,258219544,354890347,290241887,3138117,337130538,19451890,576299177,368399207,738615294,471384283,956444558,380686898,11977038,262543578,418318124,781964223,629933779,543544763,38975439,746014229,724057664,832235415,895853974,76565648,718049671,433898898,645706164,532431891,28274948,876549332,36252375,584045688,510345333,175810628,256726802,796815549,121822906,11274347,781838977,55621720,824912596,786604426,797891516,222245143,720203127,831337905,509653659,565854320,185788683,386906924,282826983,851027280,218727515,197675225,594819179,851649835,16495202,785025364,131598987,301333809,102017050,64051170,144890800,890727031,682127258,184742615,56982910,616827047,853119399,345538431,291347702,894283924,652034538,747208012,15624009,125752169,739953843,345231844,344520022,874773586,459676952,662851448,873339592,852381733,444891814,680682145,406318085,395495536,606325604,524303837,560503643,484215281,882742965,666637562,919962134,80793925,82334712,320954554,527440876,728987451,279804612,885541843,271724015,436504359,497927961,831838451,547512111,599063249,487312450,861051116,463268542,996461453,325124005,501773635,76722283,340444839,606528514,931197942,711521557,630653238,126539963,469650694,945445627,320035575,425925332,974369893,646309468,780207211,888904107,454218914,437377026,493158433,36092513,203429830,599620780,720818713,377414251,649305598,841605345,838353421,359036333,821959276,12955601,536792759,951245309,531945672,729802359,794472730,25335565,384893628,262310254,178458304,978420882,27489735,191721741,696201622,194688465,901057268,274766244,39851636,255066715,317286431,412001350,563575169,594006816,864622826,777891598,355937196,768261056,956465993,573578026,134954098,407033878,367544548,323785844,966383661,456492882,926040870,266950291,935865430,568612772,813707782,640256330,440051143,521721007,781954796,819425596,835874200,51940350,623809231,121347887,111813647,76001019,536716255,444323693,646610971,836568729,631301826,23998532,16440822,903832297,414869840,991768258,285966840,996757943,951218600,613032314,353050737,85462660,412787115,908033047,710316452,330655209,683873045,722753185,326646564,468403006,906602549,457856828,668508206,26014085,546050243,233423601,923924298,805829845,546670894,231989978,8711537,147251693,674683999,389608510,220715603,837648626,760386690,660625349,411410566,450984772,64514444,468939755,66577800,944977182,183875028,699157303,828678253,727027552,565007934,969628529,476115626,989814368,991051404,731849295,993944394,878381490,183984090,410385222,450223598,411822393,216965858,137791210,571991481,708502855,29089559,403730235,11986006,501898830,375785879,841669744,448083530,131989282,461238264,516415421,519460779,887938980,3495493,598508651,514407038,701451757,516835110,105458796,373705855,162684286,651715059,934966223,672370680,764556048,690185688,67257161,194541885,610581021,200051979,921454650,851787851,181910320,957010903,188845968,833531053,268583857,405455784,908688542,177273218,546526975,845638271,591756491,633815217,178214016,14265891,645675617,493404115,625964556,819798271,147305242,995041124,418637714,691123702,311039906,275129064,298199244,713832761,455934675,484423812,217738686,521348172,865461581,452931521,694958785,44748928,216759046,481993820,856768390,815443337,68536034,203817794,736264225,791839257,63590536,206857488,544764877,172743072,319182166,441052157,462435620,726817194,489357249,418502421,839377398,32587524,702668383,137877931,64221325,833038651,662887587,499835202,428679150,246794417,84964988,911083466,572269010,573118639,412448643,674435910,267547738,436841942,609716018,824615141,543321984,926191543,370140913,916060299,110197790,365926104,211350324,677109124,776937691,744476864,774889902,417047081,256813403,70398587,904833308,616581288,303024991,50178569,788164336,364188977,688594852,566925941,29353042,590958534,841036030,389522266,252285036,592069387,762178817,258416024,199887122,438043387,123777593,246668894,248245465,689113350,86744162,85589464,823986334,59408935,105699441,87800880,72308138,393846139,420624912,681292058,438096673,561906248,565976040,421431768,994837910,453728236,101196084,958882570,52820605,182668073,638430450,618828566,399559015,688191431,390178168,340003950,476573910,522574851,836089563,333074378,324108492,927235391,500491144,26744424,612843701,121319743,45772115,127290836,818301469,120010291,217040351,663734849,400686147,268249326,569654444,857825258,598286490,181022445,553504842,694120462,292441257,667967145,726030183,627684362,696231028,182838129,239464817,421077508,497383119,331610908,549202390,373211188,62567231,404926127,487463714,620440535,82901602,67256074,596598392,728218619,26843579,240656053,572867631,454273257,216793540,444326906,212138938,57504998,811413926,92661697,457952632,197075365,273338380,981537845,916392440,269095157,623787382,582957835,922589129,61928253,41695983,1114867,250679260,511779644,730026107,378077782,172305200,797307182,523280129,237726864,387353154,553585371,492929990,731747894,863945582,210451014,787308760,60781888,367380687,984946566,171547266,661907950,671983401,939820637,156539808,386740173,957444264,325857058,375348966,671100344,421549191,764640387,875660594,633106432,865383519,69362146,719437548,59701427,822580802,865717551,925305673,167146175,256867287,445669235,145356981,339576785,934448516,335618299,91905052,848074471,697804651,93273269,790564224,645372726,802645298,108382971,155201146,62607326,602632386,595402591,135110497,661706533,230084566,68450496,961603770,645923521,968071887,168494170,556377909,35768659,214395511,111483472,527013130,720750565,619754423,186741927,832469848,500835367,387099367,160572033,830972679,917589286,485132922,525669363,146108926,501200552,848856070,944911877,41320991,740802817,34263051,683537959,758721221,175349198,896338757,29542943,698534678,900489480,867408787,669852482,981863278,412765195,809669110,903236530,311136801,222469979,435484726,266583447,599427229,464835329,529964144,346530450,714531073,180766293,272507684,12326671,628465850,617929109,323504512,25151034,877664480,702805651,798898175,535037559,24018663,830235064,538354595,361428759,901306445,186889656,4225109,205807030,167470521,80476365,828323175,692448681,642142864,307814215,588515187,914011589,738424462,873661535,627404931,929041157,290513802,761568193,10068165,589697962,645327983,357162583,838765122,462917779,755819420,882971405,438833273,215252406,947754772,125007745,51097910,581049060,174432706,60075501,617803332,464634162,53099501,920456699,154635616,465764304,160576355,544991070,186582452,872094083,324841651,616155786,629112067,877637680,94023552,356049186,451245670,190790189,605092789,679701044,974830731,237255795,338489080,453242826,594967835,298531523,912993547,704987945,830014409,959237820,459085732,908445843,807377552,112789383,163974574,539558358,645869,750998792,795475868,981891869,365954921,880369623,239145581,243106408,937791534,46110232,260625061,361794224,930746,245122342,441199986,243894044,678757670,68586219,750416153,751141691,329052903,821860449,829444684,29693029,688832897,691139994,347223014,321793030,514653202,453022866,210198295,262685712,324841065,706988967,129807372,163422061,393923969,818896122,624517716,59543476,739211050,118838014,162120268,622846579,125867963,946202497,183496950,31822624,86349448,620634409,772342210,413854534,153614782,389676165,782796790,197730536,937255679,838792560,67287703,257415278,756979081,627457375,505270324,431700759,830128922,183669594,445702379,894305854,366063645,195167758,70277643,913662365,134682345,831620747,580932227,741465076,229994073,850804745,723717532,642975915,120661234,945710673,108632737,488793874,643120305,861092972,765759497,124103582,920128940,705375243,920685752,753535693,932287984,999102595,954687811,495407980,792562047,824515692,526241887,265163648,612663937,444786994,554325704,393591852,821127317,269053297,365833617,217320469,567081368,748909615,412709665,367092944,998873345,569835350,591873895,320539428,12454483,768030958,272479635,814672512,667440675,60545536,917626764,578864459,432131283,722760715,908911502,386289416,230321430,685723160,455675853,437956393,263440707,633473766,840675659,194529518,355199194,404396595,3603788,800809369,508391764,454563511,508110572,843014338,811609364,934810003,177725969,134707752,344283825,706085827,449749696,467644988,716082576,752597010,7193781,218523565,164841658,655831076,769262783,133194128,795771984,914223292,617395297,753186711,488123938,618343519,528164610,321548360,720484468,925709297,874274609,589732866,25397614,986913681,625137847,608564551,893673748,347484413,379555863,177553010,911553260,980874415,113265970,903262038,149600616,690992760,152326329,374428129,850800373,144085669,917176218,374902943,62186563,563968478,4330611,783591821,931629303,436163114,364705501,383699549,602684152,228294784,997947927,687390735,86403932,98334099,177185374,889652031,217362800,649662572,641553204,598660200,404650098,303319951,251936194,962426474,396845082,162343561,180327436,882460209,252212540,33829521,639687879,96724652,922410073,13628354,667765117,315921120,890564693,702631041,319629722,646512983,224748565,549115954,99692988,86630230,289171046,463986635,723784171,11259204,358271790,24407235,879636298,641248512,688766517,371100743,751872178,73944537,928046837,608167410,710884031,652016251,987595300,840420618,658405832,350381980,369989755,496368091,318703417,617461100,678634988,199360577,960013572,673454490,875357169,798494933,295433961,426809540,676724444,335746689,669019441,322346126,414864531,799753725,278939891,508133097,423788982,302314442,722693003,621964029,675908443,247956675,245998457,536814741,913610629,785983095,410716879,101798046,291596284,456638102,513378448,410535089,795320033,680786764,664084541,804285919,569022641,855669673,399181849,807078001,227291187,544922341,3527604,208852589,397372278,566624113,216115979,528444227,536927586,539594583,678498118,214991011,819622142,94131597,257703788,129180513,162947759,156607852,631432639,22634598,279475231,218668421,646254675,275687956,536640694,564137330,263110389,495342344,737627840,537865287,352125309,985867673,419037676,522886675,621832378,25593453,752597712,566402029,925438872,825690200,817733707,984717621,166670242,891719795,232853254,217693992,75758252,613727926,990465848,721473483,56327740,950678343,977675639,434207424,691506444,255850776,508396534,672311043,705875280,117690340,756716768,5316521,433033595,776976447,809203818,276176411,886380803,341583557,388069919,933581002,852868788,200257573,801663182,806063295,225891685,218688829,503489218,748806965,22761385,916319932,612792397,570189069,919870057,537691610,261238715,171963578,235147452,622094326,833343137,918544191,300757201,224132407,657216833,979346839,729024682,815608944,250962493,243796542,398027520,61940752,650478887,965018879,254572269,32721121,326707981,282632928,413832830,492469841,966602313,409503860,872764787,514267941,841826792,159939592,171262920,401251692,2927120,48966683,129526315,623142147,738666031,174804882,64899612,108936370,597661636,589851418,127858515,194069959,304694501,216939833,139854844,926971059,276353220,173945902,771115242,180066803,535374189,185969706,50889914,879123992,365568257,14674608,3473797,610478456,333482726,432014471,1273434,853082332,322836879,434896407,611251700,263092424,502357838,405224787,437790842,190499856,145616760,693454353,732699847,467828643,47606982,428044718,411102847,402602090,982228787,851909341,242479192,171590810,303983445,555338218,447444989,934103858,97646685,71888437,130004725,288092227,967611541,143011683,645117147,143218506,978431691,528229826,342712351,178109168,429381945,753284384,92863914,261886235,623419893,240237511,900334790,793758285,457978620,932142801,762680086,11987587,512608877,918950076,259229468,4269494,18636948,981401179,610478119,587584239,521018094,219918277,16689753,721388050,71759491,320593534,741021241,904612988,671318205,543258285,391331653,815172969,472921113,6346250,678906254,290864507,407088931,176655634,914380929,989063993,625326351,999322534,196634858,768110196,512516311,424034367,168477118,256112883,14884490,586866098,687791858,405865236,375672305,645886450,648964249,644570314,570432063,59969527,751215459,149942451,900143297,267946075,79003680,78954313,851697499,137511671,621142115,956995256,219649249,274497951,111876437,493186739,739045751,639994381,795984602,128249865,386710230,657936151,424416886,312772318,389014079,110640604,525124576,700984094,358561022,245819481,573866636,257871186,960956923,57505209,577992488,277420464,308154006,295640489,510538676,920942945,199991785,624153999,676951952,234694175,340870474,941035516,12773744,48633577,923790333,752525124,805272461,160782206,394886702,917887087,63068328,437845662,236321443,165195041,387761917,35198204,168214652,393934417,546512767,692332211,97362754,775684454,659713849,788558770,163402131,90240482,432864080,264632347,991211129,279488562,358062039,218893220,779467430,180284379,902311527,665882660,620432408,18369784,760100541,299054059,432021504,736340526,871394383,788191197,880234839,82036064,705365916,394490858,862915693,745709807,701934306,802081418,889452076,963389145,754964647,927895661,165444774,695416374,946563794,748314161,662511605,68350130,897492627,484873890,572547657,433591110,537404517,8930307,343976210,345027127,239344496,975080239,909615971,629921575,869964224,337428328,823093952,470413175,527974137,718395215,662563287,533656378,542646973,802527755,512437800,7370941,261042907,653417425,977352864,863707948,328621446,142179202,740483938,510524022,797405983,363586804,431824906,685147701,205538480,452504197,809152966,646251349,727154603,519547909,715081597,276967386,50967279,978373903,219779023,729561001,85869024,794952971,269026989,523998565,519637660,663291263,521052753,973690533,925467424,156130575,155729748,501194945,761710471,490306437,482375260,341733568,693700167,725031766,676978737,269850694,816961906,934893082,122337432,469953132,775097950,561440860,58846075,706282037,90850140,917133798,109777365,901974525,490546893,653213923,901851481,867767630,272368428,126231383,465644620,913062305,941917230,813578086,273255769,582694848,192332629,344819683,250525282,579009455,430937118,517163278,190041094,461307340,787521347,585137159,102974346,143318033,894969852,61658639,818092790,876268755,44451576,559789603,630559381,37617890,356177275,841647678,904450401,931163947,831620571,885112093,92193298,500969105,487642887,427538956,540751137,294075643,771338686,311351767,870485136,641027057,532279596,695908849,778194104,667095749,77535491,207104965,209443874,30031781,717760350,609373516,353286757,723191694,146260469,489347857,899936,213638022,985606489,329189595,820837652,432651145,939872314,759419820,88287126,956966224,394486643,241428064,725317802,486194627,835910089,8680988,182249958,358961540,708956045,790215528,879554115,578400923,44210669,582796462,165248660,713817131,220960570,553315157,757658885,982213327,393312568,242310564,795132158,748349050,697538798,239949498,160232751,734781060,556810288,829257072,687299714,683957020,989129975,398165312,389734499,19745136,658684268,98406648,392316027,751727186,539789671,867754015,136338178,45098410,493919460,880412635,908839631,68541610,850829588,161979687,559607904,903921977,345088433,282248290,471747905,259658888,520220622,981066934,209079755,112504652,16093788,979256450,356885980,426828204,802465207,870847467,934419962,29420639,290873438,146456116,887464171,357931820,566193341,617575147,393824865,21751288,227814911,858772843,621356981,684219472,713786108,901731410,452251047,174504418,541341339,886326836,200861074,506473117,162100235,308738157,88491141,330288708,206700698,303912371,405859863,110695475,220420623,295253393,44617701,658202902,332688958,158248932,643817926,514380239,17642907,226569319,248808722,4124113,606501387,151576188,110968338,794130320,705786921,560128040,696165693,432481241,492208462,751204449,283988997,434542204,824897372,250578730,527863486,915661097,71820798,790170193,111157730,985009033,668875383,816009052,734711662,894920468,280606616,662480191,108971381,477136419,551371481,22980783,806162148,291496873,431101647,731808966,507910995,717343915,915495267,347590091,753239236,852607987,930382917,556861755,270278658,640230343,744474751,362002120,46813151,489175389,156539550,814085263,31289123,53845746,553318934,487255480,635412403,834325433,958515807,797397503,102484201,709357917,691127437,481405393,660874147,181971204,720766279,547917393,924722500,338545716,890200052,745798892,145183727,692383843,893069267,698884197,995864521,595393825,602740342,799091808,814885145,719603689,284750790,284560647,798144898,998847655,919751540,428391078,187937562,476646851,377478797,797943658,483199957,815000823,97680774,84777375,924293932,735115891,29944539,235831710,690854673,70883147,844039430,693849277,369194790,98222089,542812568,443981270,576327902,987103331,79889479,817090697,74869731,771210110,600299850,158237037,566783777,782121298,633219692,535423546,781142942,603777085,378237354,236084850,655674055,477570880,187522789,481505989,389338535,960280140,142704753,960928171,804437123,710201614,612319618,948766922,959482242,410649151,62677912,916145054,131107891,550989602,751847784,980476045,588406680,771975257,51516379,110374575,29796756,752719837,620818363,149645833,712385518,734374589,154228,691766016,407967856,989534103,112015936,317787084,213668328,528304764,912369352,450416891,73237672,497999433,285869714,897823087,365293092,618151015,915128625,951268164,729977529,610300570,61817493,610449571,341210808,29026066,133893314,212617928,499188278,255034836,784790342,338056706,831471416,936766645,732606666,20561275,462335191,816521638,934357535,154494685,109014898,992035603,379844626,684996526,162190368,814986370,974285818,804869099,300770244,137036807,36592889,857838530,132889382,926950932,746175844,217200532,316892416,49782444,302282227,613042195,28496260,214762473,885230168,816807074,405808959,157414329,341488105,548884258,285483144,736155324,684481648,319929474,409387402,737590923,985830449,848501316,446096411,552966811,678840044,669050279,551901504,205786073,196618259,176636942,64283667,291979430,527758619,332414897,560470591,123906693,130361720,953515452,267628549,113489800,919535088,586980595,111045194,179781887,340790953,127872355,653858543,485846402,917483202,723961850,981452188,466423071,350498850,39024715,692570938,6421070,380511146,250526615,543577881,138340191,861355661,355836973,987461650,556377086,622740481,648134713,69921183,739905578,514977629,871104676,338943882,891717901,61681643,553853336,243078959,978254674,524720642,308278551,678520102,679267389,883891132,994615313,806124273,458704280,904074633,699538884,112053654,93284301,494983522,665090215,407705760,220297722,463165083,706740681,305964200,506922142,473986433,435940295,562540029,497304976,199614342,601097331,711766882,193354742,286556941,380065048,116809947,946877957,922925297,161995026,979490645,408025462,443907526,124791822,555842940,694444830,165974034,254329926,694157796,321072914,303257810,607850625,293479650,207159196,8844942,473243276,200212675,553433213,467995270,406551106,591413581,188758696,292974147,976609005,899474705,563415042,743412878,48042526,283939402,372881731,30005193,938980886,710844446,105911973,557997745,877037539,221599604,468920766,413082035,664540390,219039214,497598926,551886739,139162884,175001223,580159459,993804215,693907540,525284365,614242397,927787322,766684546,693465654,402909214,722308345,416161814,927929439,234847340,343289645,908447085,929694207,748061288,313072740,761612202,962348712,684075467,693893100,189205540,280479043,316020210,329353986,890910405,848165342,929406598,463478918,236453784,358843861,599491348,255188989,853179461,341528402,117021475,773947,843733239,495899666,149009053,582112091,755255812,65757627,344054015,131515808,294763359,208406902,189078186,149022417,33401137,895558564,768231214,382313749,201492614,951380466,455759976,264987901,142690027,442263076,486671884,444509090,532975145,44624264,464693039,31047841,122089415,459368458,836762436,819875814,790302793,891237782,368140488,165292350,641222235,466855335,459495729,651965948,452004212,593568153,900335213,215116167,687740103,906600359,131906032,743592410,264488455,895823837,549112711,56013899,557661217,452711924,410608149,505445269,114160595,358114158,866665195,65794416,868760061,965513848,176012509,114934047,89304557,830240927,384742355,309685530,669270407,910197771,403556928,208994172,377930073,647215512,452729770,543143182,36803039,789024889,435906055,29897488,341595483,624864792,113207937,352519706,40574513,872111443,480677815,65605089,803635431,298368573,8343622,725978615,848226008,934361278,838751453,695832720,921134643,431654234,365161861,885275213,595056554,954961288,79085120,344958830,238963093,334950351,746306386,307177173,4525885,856184585,120471873,941156496,780328777,869031764,749324491,858349244,264320346,322310240,480817522,578673988,409187713,942842940,898543933,245509458,735700160,716627428,50824273,131202497,583148640,630688290,150450022,823484729,865867060,247329511,338175880,736824598,545222005,163453148,227443968,333225881,10310701,61841256,251614574,395837721,881522653,476682710,602494623,975260190,539932691,730647053,799135513,781785282,590756360,194554281,86434605,641996355,153578299,789872657,62176256,368843314,858407102,536025310,228071265,282028783,934609893,228304583,309851224,471102166,174284324,68698420,191358955,385351717,887632298,497501717,140748849,565643238,507398760,470246012,202282303,71043943,385520149,835508118,867266438,949364292,378290368,794079736,878824091,494143768,542509940,55566299,385422282,996666740,927234935,990292582,356591064,366914656,589672311,835938191,746829320,816003570,78683348,249622411,754148756,732053972,115755970,196205155,949219818,965250954,760501045,167268579,281921423,693285590,223561476,205169032,602764607,399301363,84269072,861558881,275676003,352666739,717050253,888573667,600442012,313216662,542722452,289561282,819282488,815487819,532719937,480526859,422053238,732108210,88405093,422242743,825873406,838299645,300555273,86822582,256591185,419876159,121959856,426838771,947848861,172386262,355559811,854881314,91640570,586567231,897084998,723159500,692237737,109126179,149178613,180290885,860816149,138598876,285972095,957320714,555036267,260268207,996207092,438829457,943469715,225580091,96523748,162029198,830617734,640494464,5706511,16206384,23280246,108795954,483238413,45159600,918476740,782143001,514873613,782806265,461666479,958342177,118681107,855573603,581781639,174326156,211285154,570481437,549801734,651872294,837243181,361033419,820712414,803099515,836715691,230721231,308528289,978854535,807434316,66734947,415207902,82369553,853054472,591543910,168295747,320671660,889878421,855613296,797116719,726287729,674142662,53145704,863716812,997826995,243547734,827564013,103628398,317559969,26025272,856562893,958779856,345759705,387359493,725909164,518974626,308400085,169691165,840322433,605404289,121046524,779414092,368708983,99769095,287951829,712313285,628771854,954344494,199189490,882758878,282881422,252875967,311262976,191118247,800154145,143111007,818861319,917369068,266183317,180820631,760985262,993756274,760661057,467293171,542387065,183257760,971411539,805203055,808927747,442949441,950362157,93296917,949924395,427525949,685367332,22399081,521689100,275625204,478907402,7606173,157799554,271008731,804029538,574826379,280765977,52566813,102735920,163342223,668309017,54433149,900712398,572778022,473590410,688463632,433212947,410411794,609215475,108349721,707977132,476680152,836217046,79428900,161827619,825941008,833026936,511948086,498708358,976644509,968337522,673415556,558012830,552011674,744163321,196899909,598762724,475932421,495708404,52631053,654414775,755024116,985591367,603176313,789636669,948000408,193545235,932073542,98652849,397680524,553285259,511995680,921174587,32907144,994448014,925783852,434098669,178338428,80441921,236119127,678141159,980761279,338481519,970300193,183232381,752524693,47858268,363205951,41659802,230687703,282857444,335729628,427501640,653305194,505574468,147577837,32062532,986391603,326110471,450649471,282615194,174492105,229786153,227345651,974142529,634630325,730106725,690489483,29105196,630958759,39711772,357284800,535726471,738205494,623214106,399998268,638391304,578076359,324714283,749838562,759579721,674929218,437970607,564795138,230363780,906940654,423254862,624511868,870013876,993968881,967711320,901392007,957714744,166260833,913972088,321728888,545902993,638674772,924039574,468469620,936865751,586413457,994414840,108567782,95883563,615478462,873779928,310766067,754970061,738633888,220934679,175021908,398771086,102209725,634526549,810051284,507869345,16858275,382853483,613566058,92090652,399708602,784045261,870549240,90923564,156750032,603356992,132984417,565748942,542338527,288343661,980936041,844619705,758723556,339247193,667345025,507426094,869101398,404868131,677526796,725416468,539125982,188759187,388046890,350981878,293509962,797028375,964454717,867475818,372988816,508318785,292682818,268669537,67108171,852723467,406759916,767846179,81919582,601391241,627329724,980061401,825673593,706113417,66264735,723975422,843390317,668568376,182779702,541448239,833786823,347739122,688638821,880645407,917574760,906346305,868138,478754136,42406185,590186248,730573708,280942181,208903918,658236979,998136625,739597657,788028501,156241864,792161429,127708520,271572389,166084609,382588377,796552571,727101065,650373757,422239303,96761991,153707037,261125093,906169327,167743659,340061944,849673655,147741599,434281233,261745985,796220828,206283607,652510040,535620442,332739751,444188510,436851724,496095046,314180501,120843378,454921126,123902417,88890785,319231762,518958171,631399543,953623556,655266470,5448729,649532546,992884196,998977721,821259063,905161708,600938960,366782075,279229090,933593835,787261932,891546901,51482243,835234209,434764920,674879843,884017755,687149907,637366144,301608849,368748501,112439951,878924957,830811186,524261965,905878986,863044436,91510487,784139595,850238906,575186122,392245613,234155669,113915905,340851284,144509912,893064706,51515140,753866714,247446570,81234483,964115931,749074871,657354216,239226087,262706918,155039260,227689698,372426355,797947039,692707184,279969831,337910323,21663850,597587869,555768279,363340467,396809600,562676737,442905554,549987570,956422887,113542963,922456248,177455939,345340143,933105720,210323177,61441534,706227319,288427178,562190330,114088060,866889622,326801254,144263634,825325731,879378382,784319952,362943412,594476147,790867177,481931750,31691194,564931147,1508258,959131112,756846096,586889065,273244603,993826396,926509266,845094966,276701431,492474939,926031586,924842374,285320568,40331645,206638165,906828359,471471790,432966233,562072808,127551705,219645077,714288733,942536415,824127986,907649246,768815283,283917909,41221942,861794227,644561919,537890237,937134856,971974566,803066150,369071167,490461198,265071386,904163508,814675247,435107427,803697387,599487352,880170510,94803834,159642681,434198248,3401228,238663796,447884074,805262191,65392435,189295756,692791808,526055458,962433690,952196849,1675302,483120183,452451483,46164348,750551604,427524609,783152072,754455385,858845175,385726403,191965142,152123518,990636071,538328968,47494598,867502707,496226511,513023584,743349545,190024334,520604629,52117516,949761968,57681039,54760992,221357085,68582734,714694109,286983687,920279371,667969047,564677047,952449845,174213211,14846302,212111706,655056758,406829841,739007944,215758154,162776217,51297932,564512516,152357581,46526581,2306931,537926235,510826353,947948449,581757813,80281424,285068739,726077597,898075151,75967339,353669347,821957271,267532488,777148657,300424507,120075797,526365204,224804874,292931374,429710185,403571069,355817402,673695938,886915227,740318853,203674484,697233329,914507921,762846838,483732671,655752867,343397312,158883669,399996953,375143506,685084644,185027350,853434550,493596582,736924964,525355119,868659443,55914753,145609268,405164251,337952696,535615087,717645666,559904985,669575872,348949315,419536870,540874802,638369402,921986548,561017311,539392464,585749131,23616794,571120155,825905961,846402600,732910926,788523590,880175704,901689774,301433574,14785792,21839190,895978755,389018525,775520521,479684720,412066529,515224745,919090512,774518890,947706318,280967086,897476239,22756859,59639791,311308044,790724392,194915554,131713616,897747748,172238490,115601461,935709744,652714569,860277715,772561136,731173612,415333673,792237954,490429753,379024778,944705984,300987292,734404783,679327553,800469200,596427174,275596343,931167700,254589990,554991586,964940592,190461758,252034606,266721894,435635966,868070939,567075788,474761885,143395409,114792214,644688620,707677943,181694865,788536600,95369055,939474991,653613656,450713008,735389019,428775457,737826517,977161649,120193551,124473814,496197017,316476312,55317515,763465291,746271880,989002864,504160950,656673795,523902983,163283641,914573300,279606846,412345523,749450610,501354181,562080993,772080524,861783747,627999843,999341575,811163238,856112445,505787615,69437479,864850036,269883948,650915490,178531760,937501219,784771570,786304796,306040005,277614909,162659272,179290339,387711436,887618981,804611884,930750221,763024974,739767687,880171462,361412073,99264565,458232747,582602362,912750982,567516444,82078757,780059042,646839977,977461642,651155274,934164143,123145697,125010521,106097306,5803436,579826281,36000236,64076061,20625908,86017058,441525824,333092927,135556128,283116378,488002015,313621061,399686117,495479462,769233686,807619580,955449456,329377846,574523104,447543881,74234038,711305411,15844523,324079597,783214925,788133501,443601857,403755704,924397740,602431031,790174109,7043080,112583026,967269030,938003268,974578773,165684293,668856220,244050278,780626326,59914606,515576350,234609617,958618530,273335615,701571291,708027798,777170804,184204076,761514232,543495510,307475293,595557569,385002705,14895380,54784530,435487374,213772115,490940622,77557279,561549751,180585793,420749726,571457192,494072454,837710340,716136464,168706977,413366246,845887765,411660277,400562906,432516047,402339325,445785363,160938921,714059335,404940900,908979881,541672358,876760536,169993925,572214784,778877928,77779566,74050616,799625413,710457488,758485191,905988748,17638419,308101692,99738246,848100917,589127479,707165202,341120450,17551556,769480003,114931698,875344010,319176392,790225158,317843559,353149070,717243402,807188246,167516670,769160180,610507581,112892413,673053471,491268887,172091785,389577002,657428820,518818174,780990383,977514522,348583532,503351856,619669037,677089159,341387962,508516288,27165435,299078861,213723549,667188790,628443262,959652828,506933459,52347692,437031417,656202604,175693573,311881057,617632023,634127924,834748292,660471901,471786792,284258050,773806564,513611234,565975063,139515243,449558474,213375673,893563392,86264932,642828816,713448297,940348394,845707020,57929344,632513704,207179914,99795608,637997990,467380123,305253348,733514931,783283452,402191561,736881270,37585624,759373286,487448494,450251289,841059365,762176431,804447567,200408873,369833570,39646408,753847606,111897863,342461601,857288833,814828202,391082561,916939452,119791666,306458035,67762415,674181422,48648245,810767517,541757133,537550584,136630746,513210788,889423235,136671179,439481334,548184015,302057588,322775071,47625018,609906767,485853760,475266518,912023262,607388616,349103216,829335055,495128455,915403487,869184519,826237033,925910115,435211711,77077300,109182301,232952259,356809569,535082041,572320928,55670656,63414766,560343986,878543345,549485766,60881599,424632309,698468420,549091633,928813281,26500094,847746861,753241385,133468635,701130501,316283538,82810679,496540964,417786221,910104475,635058301,721831621,944675596,145067363,431521462,685193979,602963035,438647391,109591753,40047468,17209805,736391535,737159606,97937783,644328110,289647387,337558637,170552556,476779108,670597770,817264256,985353776,411540904,316373900,736271874,771501127,546495615,493876034,913203497,985834074,354536155,515241670,789539917,945845829,721094171,457634040,899723858,900190043,752109367,344635047,570546316,873645155,797314644,755769652,665950869,500157456,811237286,765356810,738270361,329389284,602469432,646550924,546034652,148706720,825559690,811746500,655972356,948826525,800664670,202290568,527892887,128650998,740983728,470387561,927206458,839816862,64769991,59662812,583375164,118391793,137094089,751221012,94355399,784013981,733816674,278291099,396611264,233882905,319508050,462150424,70613295,735004024,591228366,404070486,148562952,931487529,680593895,162662371,177338255,974634915,915978223,188665460,706389032,395481659,657001109,269975361,183276976,877926391,899125169,425664136,502233650,536931313,790414953,346230723,274060232,899628521,352615783,839924848,700482312,247887825,549952663,755600974,81188258,481038542,632028794,198942311,635807794,259770733,962495078,88614682,318880759,623447584,171772843,852777898,939937078,321970458,867351624,167482500,759083847,193253172,318366299,604053306,521879926,352523891,597478576,220248421,660291843,888274232,755733440,992848583,773545491,847413005,279202736,803255349,204243250,660944089,952543146,824647228,203222185,313362920,921152630,221019294,549745221,955888947,574922025,678689488,74457185,519751581,601783982,956226137,615948638,488401425,287844093,616759291,563656246,515512172,627825504,83038576,277959017,706840469,155174544,818153946,327080906,625379013,556875469,373842649,164447665,504406332,789528619,942725113,252321503,824767563,144652678,645699473,666347855,863384190,228124495,330723015,727798509,679790075,567772550,805858102,343170601,64421191,542689502,26063965,576754242,816906564,594313988,456792518,444275520,278824495,65325183,923585796,861530044,72613209,544448645,234832191,824846013,967029159,500497417,942105312,949255552,908968639,806901981,904108895,819290174,689264075,891390605,433290835,443119529,295111558,438264238,72830132,766105406,263631974,377354203,991714390,451013641,158491845,206034535,111587260,883972774,458289308,308609697,823738431,869727012,272340488,198357554,5980570,850344160,795086207,258707600,301455313,973557234,861692037,894405674,954049658,929429474,38731687,336023314,141534674,853155698,925153299,275276108,966307032,181301902,341553668,316427922,670182931,787849699,627877032,19844131,733839435,608112335,240206095,989855028,74494524,341822488,831759251,955146985,261047742,612071964,637861469,706390395,206559492,284032844,579310975,631717079,193616295,112002695,387329814,470724520,861854410,519753971,774123835,837847338,268474108,975529413,175914920,803896265,913372284,807771863,834146326,687514968,334010017,865837585,223936057,147346909,564168230,923442320,9943682,744274627,384801239,661363456,595708954,852934907,727444648,168786588,225174111,626189596,376631067,370510654,344047432,765237059,927988587,168653747,166042090,999955779,816732904,179522029,534731375,582014919,768120898,176604090,939840222,109497437,616278183,281101494,948277687,640498307,296208367,692701198,200271976,500626088,850649320,436829465,195955426,937516498,403746228,892260446,377214393,447765755,352609601,689894489,80799801,115599757,820880670,803168542,685734800,98373084,762368233,790760758,331077229,270161154,655648867,800320488,743537426,824761905,300330606,280451122,485618624,176527537,425700643,691815298,410106909,485608768,168975336,128872253,609490585,636916040,215061353,859691966,198920880,805028777,528989160,545134228,966808437,148732638,267187306,261608455,409826799,657083106,623077627,584610383,121294691,369795233,247769240,400501626,712620035,426158934,891942319,127893442,226580031,388064981,77852364,385879766,422143795,480494196,549685723,907058722,819268580,619362730,6265090,630548550,387353449,336720689,450272236,930047818,989489644,396097936,787518221,809607405,205246867,297439418,34855232,462790083,846346767,797531515,102172165,167027672,317352864,216677442,474071437,487789477,919127557,278896005,574688391,724758992,472663080,185339381,747675897,31016656,238673033,165072932,363781528,969439782,585508890,63899064,407238401,508623956,294012921,917687781,97119880,631027699,41037659,345870048,612118646,874852988,461828236,421399639,922893975,340493676,353700962,655757317,284648573,755410743,23554422,496388759,261028957,507871006,703558642,42157316,286799796,268017876,287771316,358995862,666834507,182096684,866412521,647188766,306199698,142399827,4331307,329903024,531740795,304752599,827366243,226317808,746724366,61267950,617891259,444892293,510493353,537564157,343226957,538597449,411870742,192408718,490499625,928377676,301172480,479615720,792812421,633667699,578819504,41014939,614064893,181609451,724395413,599437690,761210559,173732850,588553288,839249326,65353966,162407706,131286979,63067452,785836239,443634840,878832597,390060538,355129495,503312963,633415103,963742264,443998020,429455726,118253432,651983639,355644421,427154469,216028858,466128453,218784672,784802199,357077901,210277323,553315907,729978338,290963278,330632808,861759787,45699845,495847831,476577215,598053906,808284766,689931348,755022328,993426180,848078116,429237173,439706732,546115968,652128178,559416166,103897264,230271721,501872028,900933772,800474520,549486618,342584511,131978478,361818954,180724904,691572023,46184790,451318317,532821322,823348611,217456746,556678744,6601410,519951935,507993404,127272797,747933800,293178497,937200251,377073342,513733663,319283007,670106853,333773730,391305477,313144176,544137022,856360836,707692031,833773046,223098769,732190113,951309898,956599568,521832202,515368749,937307062,742869120,502674023,760824069,188577030,589908974,622718865,417790531,861332779,139559455,107192017,950032028,864926228,816540343,166587497,210331363,383101752,527110539,314220067,953580500,911848053,693907025,25562592,976989531,79534411,887767191,680574803,851112371,730730534,118684517,622991585,221769758,547527701,329911045,981831803,5538209,13663115,411988101,936435120,741392318,391962758,713027991,438449633,297652748,922245819,587518830,849459173,344007537,448446359,29278692,251782971,543824420,353161495,320673717,768591391,218326353,880756716,676401718,109041298,723338833,345030330,788842226,801454985,381590682,943112048,27279444,518109849,602039331,361432466,970791522,953155458,36846487,959851201,642948170,2909983,562334585,892134336,722714052,358259701,67927883,108662402,111900159,625946148,666181530,557559361,632734050,164778599,393302799,439432220,277087254,33693778,605446798,40810694,596235935,522957335,626111326,454057887,226598971,2350661,894429053,835529591,366821004,291979648,389040830,371848423,69074410,767676588,270824796,545978971,699514981,539948422,408070370,916267922,45284456,294145699,856815675,133576392,220037642,862755293,409310550,571161382,470452350,55617965,225959181,624494833,43050189,49727488,252447920,86693838,411472843,197388483,448712265,615234073,357872691,270461655,30685815,582026156,701927024,115876868,449443934,424330966,665315647,115476481,507781331,252811528,734497587,447926018,355432116,74832786,861780645,167092810,163874424,64250696,604524831,919801763,596294147,336393222,637997303,311915669,876869359,913169000,965290818,523285388,869502737,696077004,845222977,692861982,631612467,185392771,225926647,771536900,662691677,616886933,257726329,441665180,564341955,389415525,312874630,960730219,100142257,323947796,503286694,768243519,784656415,415319855,900008342,502134224,591137581,727184987,883269818,910684506,290349,713139992,400166559,14943106,980851625,473935995,331356737,636162195,301309400,723850348,79770584,960999674,869645760,596535433,902916765,836037743,207624546,57216585,250938562,147827947,897208047,243846151,503223188,308687799,692052707,576652924,50301161,640742897,608036367,421627936,199548436,241653655,140312064,542983552,636140615,53073266,767687163,758300088,781723149,897132514,282893794,183108476,46146864,819062558,722299850,624783502,998621855,675430811,905232417,669088660,26647762,819999010,518998114,787052864,260489816,615734996,447556314,606404010,441827192,566142061,902439605,559712808,334267420,907299566,989779488,392524417,232414038,802501249,773595667,147108560,909342842,38622639,708529344,687134270,974753841,80036131,754985250,453857409,898892063,186390286,298683259,990914105,134794183,132421344,517863645,353169773,409384478,48924891,827202374,735589832,538699777,974181106,703332228,203925401,3616343,438917393,773435352,181709616,309247837,411874775,814949780,711651783,707267247,430541584,78127369,286382703,913921881,577753318,957489071,266591689,774211945,620675562,759024419,617833084,671206086,644645004,944430403,725955797,90728847,707947337,637537593,971779046,323185913,163672038,166949747,325291979,815699505,613909450,391887420,967706485,205315618,842439915,372424915,640170990,484483134,661474620,973091841,419477396,890790693,869816348,560088953,887870953,256861255,953211578,902311946,69844649,165119771,264544399,196528576,587594559,547110099,447914958,719110921,19248018,20739006,279661242,969806130,114524929,204312681,309726464,962845388,254459077,147270979,316596250,245159229,849173217,954548279,780718423,90161730,825866614,314751623,460826138,770973601,467522816,608287664,83803494,698768095,324889221,119085542,264783144,360207973,101595966,936390987,259876402,136082877,478769679,780421304,192550227,250079086,149352928,579002026,826592282,273540000,568565807,148765353,401627187,973698818,153074871,869487896,656876388,912058004,919956800,17779196,126726454,425727099,486077355,38870646,400189452,65545830,789053926,434439236,387236877,336174139,792715405,612571301,236729338,620210765,823214713,7099211,799484648,103241315,741137153,739853928,529855880,288388037,391351088,658288479,880620104,728932612,486128410,213305292,4973837,301791196,182172152,262343602,540694905,978521140,519959754,813581089,30254433,456836238,246058163,675681258,518825878,424267907,873641291,621033570,383739329,738631385,764858645,640435262,154810419,405527788,326339155,264347150,486848873,866251907,574276174,585005647,110591758,534668943,504826876,206763053,869015254,107731164,355133364,463937636,334397614,692043197,697339177,851859048,163579594,904110630,437516135,590537564,483403079,609956414,715021826,324884750,175001095,574245771,630922260,450593863,693025235,590292697,857799943,781947635,813842127,559497929,171594185,623907981,970205770,387995249,617193214,75185021,224981013,985498400,463284642,467809052,538106604,571705750,938780633,237830295,440753667,990569200,401560486,824063723,986831163,337908087,756542417,854522967,648796478,107627793,362791790,352067481,855937259,61621390,660410179,393873920,408531163,726584752,711755598,150777980,901420688,21116262,118212195,463904518,40437102,384572615,664512612,849261872,592391793,482364952,41700473,647184508,219989873,611585002,398110368,53279761,213265591,10317258,381235227,932039007,769964944,508894874,343211210,452628742,138344387,633311729,275336912,740362259,321096281,749159996,140114257,491224283,215902315,76049174,319217479,130684632,520420563,301270425,403321156,913180086,842814575,918551424,753211578,872583184,956426045,633102793,523498681,574621209,293736132,810273865,348685773,905022277,608916156,353863100,669530489,298695950,433567607,585700336,977363720,275697596,302580940,393568637,404602357,121744670,59485354,515739528,125703227,233545639,323122209,217145903,352229062,624193993,404949986,995321855,326306076,903463160,364811621,272108687,876578819,710361788,401094147,859295229,668943022,570354661,708206467,491126306,996534976,941563829,342990348,434771971,569552395,210402422,45653349,864047037,464182197,896320329,244759072,976777723,805562433,894266645,394631602,831013215,224177115,898499321,268147284,957293777,915350631,779183343,451890408,9758605,393874805,548426854,964395151,968071877,408206793,79276067,833028716,927729703,65720099,743524296,257885678,274623891,544110869,275249614,33656122,248964681,138466353,165927826,328581873,549447073,847804982,503755847,415748610,743141538,588376779,183982509,957902280,556618925,36949752,84353667,841062877,784825945,541319883,293526935,714788965,185513796,7982536,923113901,216247495,251372930,170837837,786175298,568666345,77041016,212500796,357606480,663579792,726057389,320396715,950831938,808349354,403491028,351664578,256641476,590127060,929557351,11247051,411976991,850620016,481322710,63218652,796390821,647842705,267015707,421852780,795494390,564357667,397095304,811244253,391126054,877182423,887597263,243350102,887580952,514346032,90642624,269788107,695394248,107775977,445545300,464806846,765180981,908536353,787016452,788647640,74787604,412491589,954395863,285553644,411788255,355690507,881077702,307995107,32690489,52291398,392896178,214343704,823778385,988897034,36393620,837624910,725377091,4390217,60172313,529905486,230010432,839899606,636068666,736313825,872296181,406883402,550610649,881944983,668757112,238616385,74278611,195776287,86705198,731738513,587695930,587660545,510020318,137489,888213512,533270927,364137387,3454114,968796036,522062385,800228181,284483886,457798248,205942063,67877983,299867943,416827875,548507603,896568663,818673249,652537561,283208810,869119230,714136913,471047381,4967476,190173467,84885478,150395080,433173990,358950675,698435743,608233185,412634047,230589094,881989784,442447865,61542345,868992713,247875912,821902949,512647326,193311895,83995171,104123773,430589457,382191911,962426642,621583928,565132040,474459902,115070797,213037519,6205883,554864985,261854859,748371253,716988859,199581255,499270608,84521876,274473139,391639496,19043509,775439394,783309274,486131919,460136711,114085893,498987138,798967953,160234466,766080633,90862888,13501891,334514017,904841144,464434514,753534370,954317802,665069191,169272617,986800806,416908883,247194318,879995431,645975114,287613381,845492632,753321568,559598219,855632286,416001705,855605631,186913472,661751198,404514599,1407592,978467862,598532716,45616281,667036447,2200989,495431100,401256995,949082885,401316299,975954469,127852396,347959638,461493212,889201134,112679327,175604522,998239877,413435523,364899983,66235337,962647346,207289448,157731003,817507121,498790304,557306558,228677637,242689947,446400311,749704080,64945097,821926716,17502397,888658716,916812334,65152930,777196609,233392492,580097240,861725668,990539513,547646217,891693444,96582405,578852059,458908957,23995630,437212151,918011186,603569957,526030869,365737375,176471564,831153806,665415494,387719751,864347278,467405573,207359958,113057239,811496543,915019756,339438531,85887912,566229779,746716897,244790173,549687511,861674534,16616363,789568,49789684,75218938,937733040,61102375,523424622,475890319,841682036,118502735,201196641,207137635,144814578,5347211,278468450,949218469,594168730,529691320,523563477,584062815,14254586,438078013,992837460,859117252,241549951,129478924,317686482,348749424,354502161,964016349,608019944,737089407,572334837,51987590,977687721,27185815,206747107,1402812,687356819,981729286,528084240,558617285,488974231,251435220,505133217,296386784,269808285,591850041,181014263,240337246,689914960,156975331,412936976,610948373,887877639,852489100,414871339,122041337,938377308,836756739,21182323,383303170,271922969,821085082,324919894,425354512,348015025,706884820,149216302,586492217,899048361,103685904,924077873,94481609,930472301,465483850,831447796,370080760,714482151,989515904,219528355,279445483,343790239,902778508,110709840,127388469,459646444,59020953,443897864,802138568,325137720,338158588,456948796,972948486,233841748,629348713,77121266,164898752,483345009,135403928,936644587,496809829,369190521,654093763,973146570,197705156,248509819,940691342,742580208,554751523,422005170,537177179,441487401,265217723,545318147,187428857,999850045,872074170,653157703,28633288,725964226,266039411,307259816,884115866,776899411,937270174,716868080,924972206,288328585,684180023,773680316,325693392,102907195,488323751,724220670,6854166,564112584,848033383,541286855,646034336,842756613,243552069,895862625,950565000,802793089,753597253,102652813,918586512,219710224,564641455,42657736,852286022,845972604,740130979,782057374,903187754,150239883,883886507,469897670,552535770,85728438,862952352,287756184,53954411,371430805,492358739,505548511,341190078,390876482,997426043,123185684,436242290,607558916,439765131,91858451,2995454,666392632,305519863,794908904,33402300,714476232,545158863,1738261,130968744,516152232,806803288,916905403,296052934,235488585,802538597,677928113,88979558,405474486,538760012,724967316,785694399,419827745,220472946,626837519,324548937,783632880,703332703,854319660,238887208,347053444,343972018,750148458,358338195,809710154,917564917,227562776,238372453,474828255,592507337,965579549,483489110,233126992,521948128,255979263,709102774,14923803,347535138,144564241,12700866,878620444,796156284,73343497,120035009,270291050,851895732,261592438,840507566,591626514,516362791,601582128,784604055,650769728,466700064,3206192,882638430,61400900,882782980,368449941,448030697,534751512,726634743,420443734,542871550,128447283,148657896,239418545,764702712,358439496,561997385,235948621,284921568,761975518,111671353,944129733,579823248,796774066,876946534,39163759,6250493,181816583,651979184,605546910,492157655,394585242,454087453,844062393,875429913,908926514,676443194,145465745,336286680,46722407,944908524,801167925,416818222,596992856,506472270,813364335,479839916,147552067,413281082,153982979,329715720,915075808,103696273,358917310,313723776,798610137,651887484,996921134,418876678,298824886,273059694,878911260,439707357,484085124,615488356,172953638,192387826,508753609,457373516,544236641,58394006,653034589,496037521,8765614,498280364,371352490,496993246,920759060,215489825,715293516,561516902,72810625,513092165,13664585,498915562,389587999,653515871,17832382,361919656,385344638,236186840,499664264,386299478,506087872,742805026,587752947,889836312,302398685,436466927,772619648,321445518,561165658,651833340,365288029,302946534,308547153,131981423,562812208,185688147,142002113,488699280,612254638,99775179,392174457,328155082,969334917,350447723,429246573,860601968,36982736,566404176,871979766,192328493,818662091,229550609,731469154,446591661,35826953,234511793,283607939,783589561,798819865,105428820,947463126,852161032,268766818,84436809,963719442,930284269,775341323,508911542,135859449,568046905,270760382,308802116,446012992,161305476,693028268,991800795,238213067,575428147,181651068,385989071,628274439,482435321,758503498,915114286,574786671,295340716,530182867,429183097,23249881,842230499,863075492,402482306,589531819,354943525,752996688,477468879,737499015,19132676,924595401,239600311,729137519,415246006,105692861,895304704,390456105,982205707,802147640,977202929,230093559,481770100,312167844,798675461,973934928,13372156,790080775,140531577,89959616,360444353,793674014,624363544,594802945,345527009,197676891,432551555,265557370,856134484,879598632,800259730,202255344,872728147,722747520,550401444,251004007,672380761,428703487,72015405,580819730,55887145,287385111,180174293,397984729,957807302,86513676,83035174,549103604,123390579,677144616,655260887,51110882,871299219,207238119,500718614,599074176,996861793,4470381,599814082,86030253,752868554,349412695,473742470,192394246,312165875,261567131,717792468,335182342,822367078,35344063,886777503,623762971,151180567,26236730,15747982,296715016,701526980,580230466,509873608,932789420,547797583,899462369,326722604,791320218,609529852,230348868,660871762,856425929,595249900,380816693,427069752,421037651,966149171,471555608,753880636,707659140,394001376,13693522,72368928,151598263,94060959,95100354,843840989,978449429,253158863,399217209,997703082,65226948,891291149,668281830,949688716,130877163,127437730,123788318,129824492,290935819,111402318,403309091,34852076,605476007,681403732,955545392,952694297,928556028,234381232,289898382,83924720,723714069,49510464,856959739,370278484,694977034,435367138,853558003,367823559,17526084,562648254,550973104,115634214,738739077,365606478,470886521,297020905,251718369,413900543,227451617,926833798,272398984,353845228,706365770,871662830,431565673,688830134,977252593,237959416,73354011,50334389,319057172,715236965,220372087,478113710,442794129,424577405,481468160,268439925,923946624,354513394,996624995,664054468,360350668,461446801,484899240,958696402,694003034,131604498,962562188,502680090,335599483,630047325,72351733,369651237,347036344,610645579,829426239,673760805,152208897,407333745,491311027,343533975,144289114,417842162,152272517,611869621,948002471,392838167,730526237,742069112,749611246,40150416,824427597,809679242,801226223,952549814,579930082,441241265,14713811,465415915,314202932,461876787,593271140,792167122,118620943,528260524,690103686,895394744,918671096,191743252,311406260,777866513,411552965,762824567,642802233,14926476,350302725,271457787,180518870,133628178,560632364,39296920,730315992,260892665,835596828,65341812,240978142,396132219,35164359,362713153,625722546,975848981,207149025,184717855,323383146,274678764,189772021,125237107,320653743,658594867,186628759,972928677,356307020,805810621,316931608,419872376,129891311,394274377,616957763,478059665,330065208,408303130,714125030,806316154,626747223,951095425,229241464,7841232,439194351,18923465,978177013,353128868,909699478,914563670,4316031,390352157,307905103,393901719,281481132,155346317,580588779,560236865,807584629,181900585,639864445,197235099,223767946,57368020,440000021,149816321,80536718,244590875,310640058,928099002,628466812,394949990,836685635,775137772,589228134,895811855,256848707,128432311,737834129,148056955,127089730,886188730,978592039,699079633,732060854,859632111,690854509,634833237,349561343,918482331,571029125,909669772,889035019,93243298,350450458,915964769,38936256,878376026,999231487,410313434,11320940,53370832,56632939,432506338,306371768,103021269,872019733,213464587,580225737,372849497,435154401,682912147,58741213,658761280,549618663,246704949,174903624,606991178,334272506,496318587,160005160,653967160,964399295,58734367,780208173,870345051,924525908,76032538,287923164,598716744,807792182,783770957,474386022,376375662,712149075,555673005,197086001,9257612,746548876,466061650,984689684,386328261,661372919,849308779,823708888,214396088,861288331,59454412,177550779,416644489,350800181,345538481,848981551,47617316,210151396,251326838,669451093,652680935,402080657,823265004,290578083,557075321,968170715,220203396,701440436,959938163,109173215,984485392,491292363,709587870,948596337,442179472,744475421,848057036,251752679,468415546,308705982,481927806,229050347,305060587,970799975,257462142,321599599,270308377,728589357,323031794,108956464,486553287,904692256,427641591,877200904,17030754,815388989,631306036,339923243,715758807,103909596,804508005,465742225,232824645,822487008,198299021,645060099,598846314,766338304,393462383,765218086,58214914,834418510,770056726,657852089,754147135,522365723,329541301,115508831,792268000,477985541,923212105,96169518,639805769,618513587,873103243,852188161,758339464,406398588,299149743,514988487,559690438,554798683,288654312,220925176,752488823,6797141,413427116,722813403,384035824,174133225,130837050,131243251,618229270,720376268,669511871,440987050,965127620,733042604,454072593,837593746,432548811,448945224,753159176,354788391,209236304,65208358,371913917,920448927,284572421,557828778,928162512,319698263,990393729,913289996,480209150,371206958,258463933,410022682,398574631,637451399,535364076,913574655,112700844,184500025,640517832,736984120,204454983,415762976,874256717,961376677,971114066,764094920,681150508,205315253,519477921,882059124,230618441,189877358,425103165,925781591,48052242,96829909,709478267,566493813,250213558,203703987,936786388,681218288,787481099,148310924,908389500,445230470,371969945,489634730,448310993,749134765,308001912,759667087,895172983,310969893,445873521,370029131,354347434,890224291,628443461,736962658,487414723,648266427,28177872,841438696,207331251,98194814,917982939,997862521,411420661,900989669,418638805,245941305,819231460,813740656,358073167,77029968,282216957,935401941,916397735,176354899,909926626,355608756,782788047,495675778,321666835,579912971,256767860,133261953,709887907,547423888,350843595,834304878,349046332,653782718,869828044,558950595,980321859,470576802,290951952,608386568,889981480,789277655,738736082,395716853,773241871,899822156,585199258,422963608,706498825,375555601,525427966,455597113,615186795,811510546,426612564,329768322,902921027,383107976,604292490,783247674,380339988,692499613,805314727,225186400,744792043,124601648,206228184,135746595,439716260,86495551,21251852,426056990,611651521,250268848,332385476,965242058,360165259,42253276,635487881,234454761,422214432,90205016,366151004,541738891,196231259,585283363,911591678,205169733,674277560,525132376,405728700,944060220,26526590,857729998,149610957,343349107,731049433,7087776,770746459,105515454,245806807,684488046,878491665,620498190,710386293,222700920,808762203,66460084,405411683,340745716,726475025,709973590,233332302,414683822,439559678,529243707,579774928,726588317,284306947,760338208,800160152,236763630,574842526,140730692,946544956,308834239,934461975,230612962,612369899,901986267,449567412,107427404,250370835,950771238,721718555,780632593,761799236,85658279,582634479,975465030,427761386,412346266,731521727,616967815,784858571,479267549,766481260,926064819,202727977,189970041,31016101,838366078,463696003,953429886,234240933,749126611,542106985,454243698,529366165,761609320,983432197,122664443,618592347,306573134,384831165,530469464,121905370,355680240,735260220,989623306,464761013,421318642,865577605,88122116,965400038,357427249,984530836,363226367,338915674,452987525,881575817,323437649,150730951,129108527,35269248,362921746,471631265,885155746,345807340,806575929,514978014,512047713,431368353,401276955,313120225,777649016,330715707,977871443,143453650,928066187,415172575,970067257,294007875,903324224,323413401,353462397,991700702,591656235,245425474,248759108,998498750,697069118,825106766,309979423,820991342,429192285,786443346,462274242,38454974,253604528,561120662,930273484,928386481,583234678,896738694,255650022,331599913,878861316,301785908,505180809,251777997,404445305,51037689,756178223,703371134,879501069,166379400,686801158,993880344,684601431,387094916,817865212,164044196,991678292,295758941,522982881,81797848,524197407,713514828,520508682,460553017,57041071,381948281,955458047,428738441,237178300,509338480,653989244,543720852,656739866,795939850,900507419,99316162,918787952,319360585,49012999,214596824,150391710,316821361,826547284,512381161,479682773,614638262,457047073,345489520,643813367,944511068,719926076,542615571,775887944,253783217,215156260,284325447,51511585,99799989,832772807,935692162,830470332,738668042,402795664,651309300,776841170,518856227,22126863,378970564,364305424,53385579,896449527,519407418,456215076,649651835,514541624,307361757,629341053,850809930,692902463,2001195,306825533,812751196,290021495,630964311,399705940,596050185,369084255,856931739,906359687,829155986,106524845,361492389,3383379,724438740,407014988,687536137,682297906,561352060,153894438,851682648,387567942,756484134,847143216,569059766,294606026,684048631,682267761,666084351,241845944,891269487,393067661,117578050,374888112,277405563,451144853,683866363,718232327,745203321,35906727,156478976,444798819,117421397,345294670,321750844,538849664,509896039,320761602,234632354,472900151,733214671,299054562,547775552,856359635,121476836,725732720,584441379,780927626,67481124,985196345,265047391,518630642,979773767,213719422,691797765,970228622,324815719,714838553,210250389,497416856,508681833,94091294,374735814,96763218,243327495,942678385,355233504,824846934,832755591,785242851,142466494,342781242,578073336,406131169,378612581,604848342,549311181,986204173,96099079,973556306,42505695,433476902,590046343,810859406,880719295,843618990,12717804,540903764,343466892,203192777,21294849,656003514,941983714,991444583,569813693,972637428,316879800,119973258,671536222,143027649,239252287,402064146,290216059,991806245,208511770,695935450,626956187,502911217,610722473,190223478,405314688,221366452,463912349,363728624,506254303,82950872,517634519,54733063,268263591,432668799,853696225,676286384,254718679,66734910,342912022,561578941,637775048,937191155,358674490,582966484,519150202,271406198,277423704,107910907,302768285,225657638,624508873,835646061,255944934,572803947,323184365,410568122,77342942,751432351,175563504,561036796,350373663,205685198,603257258,847773926,134367282,274176335,356493756,916629653,171044791,783390422,153485183,181491566,872591094,508925455,641211134,901952768,811097053,548187933,831229053,492918224,914767040,831960779,774741042,128027072,314031757,401786953,127691963,795144498,251169140,824379196,984108947,423671280,385398549,534795706,896432832,88079610,238725186,429193393,262951280,742482249,698643417,620494298,394998150,754279792,505583246,613858743,762751549,327835066,628247449,747800478,925321275,465544873,440293549,766877458,939779789,169889299,816089920,522770384,755611905,486549492,104750945,425612160,132636378,968833063,315983772,379991396,90307314,923334526,851291553,60521503,720340208,812873243,50137872,451138124,342673760,341072862,703625889,682151350,591038320,199544023,233125555,360777258,410918759,429998140,444680911,649307690,943286368,831044234,464145988,465511359,206064724,446429209,634288143,284809174,728469250,387708762,506867175,250479395,649137885,887672446,930651743,24143094,443558875,458556379,154763134,749152889,255455604,872963974,650909351,860352674,193488038,664247929,178014256,2745995,475339812,558720949,385545007,854598747,153940845,328870865,498914411,64014139,583879801,613008563,199922922,572140709,514704420,511671953,771653226,391862896,579140798,767887893,740336285,415971195,206544989,543232753,724053366,24573738,956694881,51907071,731259173,678928800,728839260,343511859,716152734,629599773,863238735,6835245,446262105,609251642,108852068,588912848,83557353,719325864,837688744,997907132,680316723,43385441,960197449,955510917,530792498,536101520,373242887,953392463,369582721,373798720,268171436,317842274,215681532,59235511,972777051,630697276,991059825,907233592,614360776,353636620,121194588,84081463,589229623,543303789,747801399,156778673,296623164,72970537,291185259,867786056,189068410,39460839,622527854,543082985,159323927,721266135,404855783,107900699,10036381,748845503,40846328,456136142,348822089,101604344,730509355,812824428,889028784,99218540,133673369,493868922,768512281,160589616,387159092,171072497,212198923,849176450,365156757,39841924,599811335,845282738,233289111,354556714,534768637,454255041,864380845,283723349,806345883,133162642,724106997,246456919,967196664,320060361,469373314,87550624,493944406,684481325,32171841,524093852,542070665,871986979,791024572,721444420,341440701,437265387,855356458,600906880,190723522,852464241,724807119,678174431,675606623,628306422,56167450,166536923,743702931,289800474,910195168,297231047,79959107,544921549,874135592,852103790,979066322,791112437,999561889,431321821,653270311,851465256,205506086,377180940,558938896,974542309,278266513,298554988,102793672,814058624,587331528,777731654,634240162,737977587,581588241,398024699,921210610,295024623,572215238,909849250,93997019,378714285,439760076,214487204,588700811,230580786,855122162,845985568,741857725,302125292,89487226,549629540,719991007,23373061,318419242,337628558,782314116,480714015,621795668,177316212,534177789,752229391,475722319,406405444,208328539,648114708,240250654,26986415,300632899,4781630,325415423,301316502,387032914,376151128,685252565,843794386,816885766,113625259,187088100,862482823,153592021,174314036,768357464,62064970,864528596,418835392,998960888,293280200,344382162,46047683,373898174,873452910,711627572,496697062,437210975,224735785,354131405,926227805,994603066,256481701,469916407,509437727,176302158,489474594,845451684,224645957,479237601,21444862,686267503,477049565,11303881,302351494,389953606,84132445,836349708,154378763,984848027,405385905,385362777,243218242,525727977,550191535,542056858,670061399,639735786,527506943,692416064,242638447,590501255,236133560,146008741,352060767,40377928,183717754,359608266,946053736,392435899,142794454,778501812,129535775,365978343,224197879,957078516,805748034,806989303,854534765,479544910,74552741,356415406,703806073,930354348,210964345,422667210,757202292,580373003,649939575,777920710,941385047,118536671,477727472,429678166,237362495,478991493,907036303,335926051,796020543,602800382,376679026,496911002,759888542,212504672,267541020,940085627,27662303,449210472,757403359,154561932,249554554,131191140,861525562,648191528,386063391,634273884,584862416,608566755,295817579,806022855,300476221,30022500,843820066,21105378,311848987,973662617,687844454,947696579,376448317,166736622,428143552,685312106,853390875,425734774,740495011,953577276,953958992,977519279,398744923,381476214,377186498,256255880,513019256,134876452,900569672,186588614,774925128,909903032,57559153,209051252,355444310,890593549,863856178,975985914,633328452,288652261,819154953,775848678,675587940,899998084,755422394,12577421,339974365,784185886,513646289,9954006,445475757,168214332,648743940,705193969,261927669,518679536,294481640,54383157,568050755,84822737,993639777,809617923,235868377,79140041,243010849,296542568,502428638,51607474,157543442,802212916,249731307,674333010,702182005,104272537,397545624,322073071,880773395,675295402,188011312,369930821,509106860,432055056,607373067,36907595,91156509,561721882,810426643,283532272,918859676,318279412,412751112,325981351,126888468,76484904,54570144,64903371,739642303,957027324,919871140,658293654,219805443,375299177,869623595,586651816,169017832,85468028,234295650,633174432,456612714,290473715,225164537,207302020,976574623,497601231,711223219,729900198,28207938,188802568,277275526,772177080,536489772,261734074,255160713,311331082,154864773,642591873,534156848,642929633,361198616,548507029,503938584,322285408,456653808,206438638,313241138,530604089,359912600,395623001,985016769,260745615,756014306,956319619,486114486,226011484,952776968,721068776,211857863,89574523,943068655,568491868,154854201,254374516,290677111,943874943,650297832,407442313,800355608,316940100,699819551,898982233,336527861,136362101,542792021,888027732,212749315,567782986,292630376,657083511,739850591,84403546,119488151,255065793,99892073,156822246,73677094,545372195,385394796,649903146,884620112,638412744,967834387,659616502,209131242,25106386,229796720,775148654,255938828,843116805,586210749,58127714,516169527,726503867,634936155,435818614,84280534,333823794,449832003,493111507,616047196,293762087,130617118,492622282,7565482,234580707,553081409,977100975,99654939,665343212,156505653,549987480,954997912,489788971,158024217,917545661,948545969,830665431,912611868,143429623,930602878,3685636,725455542,115330233,194131999,687543451,333859549,464262694,441250279,1136646,88698245,69746098,246098266,364756776,540856779,96174566,647653714,191342970,917273118,130934459,751136977,659872735,670607742,19565883,475570147,27593596,834838171,359859135,531524179,869658984,722233028,596697937,278272865,979559620,735966250,34947704,67504636,835364258,398468681,58157021,637064931,668583229,254183325,710976264,515091051,249302257,899208421,813908203,753606324,877122157,951469994,215743796,58228767,762842914,872302707,165179625,328544019,885335569,468634353,263911133,690194999,325726519,456489180,850066793,783896509,31013309,636729936,77082217,929916854,126108154,41231044,210415896,707867854,761834645,627413121,458101437,962082784,811863097,423212166,156095949,673054830,584458437,377406435,277593201,299030061,598950299,178935371,922140411,893488690,320643141,686867573,464452974,236819277,31128315,835958427,845611617,486436686,111790678,718004673,254459062,253743542,515283955,868486655,58461504,995174007,351608901,482893203,296102233,137781910,32338029,254028278,980655116,967074372,846112760,356346778,660252990,988756762,421839365,721812384,814658188,494368916,50446137,595589211,332873866,210228294,764797653,224926680,282378685,580744647,860261723,9282143,879434181,321656407,841006706,587447810,739605120,755093506,388436506,505465991,703656934,10728785,635916863,454793874,652325767,636830852,719718254,128896683,78785022,891925518,852840446,532196474,108231884,824475804,857937504,244760542,93670767,147077631,760446552,692324472,379755342,222352151,430685529,743925772,86764158,570520386,160787157,455942121,396799919,429843355,342778347,123909598,723149903,428952088,159896201,137974448,763884626,757453290,2438481,24205579,700586023,144797368,356800045,483817101,913362395,164505989,900941379,381677951,103793779,51423071,939450418,213753788,15228284,922158526,159419087,571421929,212551961,864443501,827024224,713409601,341380004,917304118,409185339,576837402,428486192,428571264,379287037,905069045,685446996,996109385,292020122,101334429,791899699,762986805,809893547,445073724,114523734,140185899,27355873,434373907,235715905,200925552,780599386,107981954,250793089,908266233,493448344,269836035,725479801,753226967,185259470,599420151,697830677,924952670,903235939,495981854,78311135,601701090,726130453,255280740,803488449,826549743,801136428,396546473,404831747,767907385,175300177,54177736,305456880,535242656,410004349,450514991,247312985,376764733,950919961,451167392,246294441,502799991,802126638,366797574,720576081,437069361,979272060,114914896,406061079,993935186,473763641,361873740,206640990,214853992,796068050,247489878,190394935,692955095,640597111,759098643,280777241,682923641,587902208,12334950,27420994,69624293,352177277,954989669,95788719,473731556,124644329,13615098,8287880,578646125,657254478,730495541,55327443,777600694,998122262,702175866,873014768,931848261,162511393,98295121,601232886,115101145,301258357,276999495,611253110,824036967,837277555,272463205,529213677,931325597,305294151,752521114,685074283,605885821,273659312,848506670,405432792,531101086,636100175,368642467,662256840,344230717,879218285,975159826,319469424,556894877,605068310,438278190,820895285,861558766,321568578,690124046,405265676,541730263,176446741,391823514,791860699,463180887,906934122,669373428,987710750,70299882,352135590,877674363,198587066,356934023,97062584,697935040,455380708,725874594,301587041,655025579,170363756,728810931,282438713,686540060,734902961,859016434,848984969,825697539,789031671,176613556,586145506,259887404,252985365,313443669,489779409,302381617,828924026,85781984,190987074,996167556,522188209,393224476,155895938,870851806,552137419,561884602,486241685,345792672,723057732,831512132,205022548,16454387,404731997,292655534,391085990,779670218,94016446,737586401,247310174,81834609,365049723,387915321,353646166,852666552,689319213,951029063,760930084,148958843,301412893,739738532,789664039,140035664,662148121,505621762,865562097,888361534,670072765,307598968,732206707,576228899,787231305,498225983,583754872,486618012,975603446,244459595,540899403,792639454,280676309,141987025,467776594,180251629,768206582,118126291,887918115,518669482,781586627,723142551,698510657,468861451,109232275,37221369,489959703,296800020,435890414,681518672,954584695,113281501,277101090,457759507,625687994,131896152,942835310,450713478,338436019,552523589,513639196,998413756,809638850,404269581,504405117,599624059,369647093,21570657,945109320,194650036,396593382,222726005,418060053,215513707,343107059,21204308,235733707,553124419,616736700,462018288,641813106,512387696,246669411,302865765,223152610,106295212,119487092,430764110,412259648,361984064,375396555,71242730,125550121,58145652,475515109,140887458,774979493,168690606,440837973,807787082,721620558,631167718,169150540,143828252,591263086,499387337,995227704,490322491,26025295,264142419,67103855,453691272,174686654,570794586,689498507,133598800,918550657,47735251,238790543,870692177,670359306,407154767,684453453,217146683,287476385,495044032,471448050,7223013,317006333,37530063,804959056,404599138,251360640,146578301,781081617,706655216,817297359,843294231,209906299,814007061,755757415,89941950,59721151,315561143,758934294,409466167,660660657,978021895,901321464,929635608,438839981,254264201,497491634,790716556,552980336,881917005,237165173,767811125,365793954,725826928,804355551,834573482,148271769,408541240,34551960,353740286,402239974,661510509,633009669,919775223,437799739,562776889,206626261,955039298,816286844,424409939,479286450,489697212,945280258,793015382,943721195,740383091,674358901,592130739,160657131,962043680,887943659,524683841,886475274,33257275,490009721,154838886,77746197,444696361,485029311,545963479,878796815,347275506,479596455,689938739,953707214,944880896,666993429,449585211,460891005,72601608,633219525,229340387,447182634,302183131,165027110,589461617,396040097,349037943,261245413,769696224,301954540,725936261,108716149,846849054,397007732,480364744,35189175,379418446,831380226,285214700,869339760,217119711,251626738,781349222,226349189,955992516,765351188,880602888,311344227,488934278,884613409,181076585,620552099,422647001,662670947,876736117,320682418,289471147,905292709,108794144,112542401,369019507,362634417,429077491,573066637,423452858,324887032,627554738,502674440,452547380,755426586,422794575,251083667,298823852,791950296,677042167,143310839,882624153,566512560,276394136,202652316,786602983,320157612,119356137,945561814,26091245,219796233,247868133,744959302,814842606,62656827,930964748,648246895,466850249,955220569,570813789,309784565,376675125,106808020,353476724,374417394,88631301,81064138,177123124,545508267,118718517,654485994,675237145,66164288,913911677,61944757,74421542,604519451,267087275,972364891,406722391,286056419,11104619,923648315,20206942,854001414,613339781,870535698,284258446,365035512,570837376,986037007,681155033,497792285,109057244,244656174,856746709,448198132,981535584,648729844,33105424,855575389,838278815,992083314,545022780,140790648,196451814,842532313,181625778,602787657,678406100,597284918,159045103,619023827,304286473,606731967,988883497,501326358,874188302,426506018,953146638,197973976,488934664,889452014,593669770,456215545,816749260,782357513,178662900,452166781,836045353,314648104,700907774,481453531,796092525,599161908,494954101,986071926,512933740,323455666,65308238,938387207,227284118,848852708,754053877,652774876,893058592,782827541,353255788,509633260,452669006,740829361,34938026,591379202,101957406,102711973,105917028,454529323,990781017,546817355,179844021,558898106,442140477,175973614,430116020,185241086,6818434,901305907,996904133,347866314,598067930,420997785,762195634,310411942,415653382,29212306,312641324,521727923,303864059,442481456,317932037,556498903,669289723,221077531,278085653,156522314,364874138,108839522,942899499,546682044,673462477,933582168,810413905,565849347,505367645,846498493,389240450,231414339,880994386,788938691,876143799,134698526,739983631,95563098,893503287,959544312,467263941,872713599,728418482,511793689,533836153,682213437,499272915,196312233,3753537,3798486,732185706,82807340,487844748,47314476,968290563,845847094,713516936,538112868,641406946,74588438,702750124,879875828,971299442,886025782,975029374,344190849,4885099,500335638,606475193,635068903,553749411,584754753,991561865,136940739,112461045,773120673,442919196,756658834,954178863,342335309,874153781,398350266,281141911,186846473,567449078,459785552,51376417,860163299,878202191,670226912,910085553,418859204,695945723,846328060,655860837,686446182,580428906,465831479,284592704,707908027,975262090,991182082,72808778,584091244,209254587,564649891,883941526,669638442,458824130,855310432,243757999,364212989,981094036,249701842,752429670,840332721,146933633,29658099,139390809,35371723,951293186,553746568,267733516,949642255,153176934,171471849,117168761,607435408,393285553,129120886,489186096,464592118,672370752,313039692,162896893,238923014,152323229,658115965,821416207,676113728,244788938,52794614,651470095,980518206,252510674,350643162,763811687,531927943,454416798,151117452,902987953,590799963,442077733,160249814,253867721,527311765,535798886,812339920,224757523,36428221,662520122,648979121,358252502,285114776,933990874,452291624,347837423,496242472,327899043,72982800,177482180,160818166,850379658,510106919,472599344,61188782,905783378,916946202,36245111,563328154,789589322,809777891,731946831,382370178,128202124,193717575,522799482,611583118,83707396,729357122,405124020,215183177,580413973,418679917,837331614,873510627,997881836,358775199,238725650,888770306,960932551,837152151,362673290,786649188,973140959,58592421,727328072,228714547,147949105,656932553,499522285,979283757,16679427,897350159,939117139,210078105,747426248,425802195,571359916,947782918,207960865,979725385,704622643,402163294,109819574,924328507,225142771,477490928,435344015,924556680,135514569,900183469,770267984,690371836,379815502,803896312,859744226,880071720,242338870,339537199,542968898,358755635,682284404,389632732,701216806,411790361,479684223,714836463,319108229,318616121,59201325,698697545,713775925,911440631,900851702,994909994,120660464,495645885,317750234,856191855,322117928,212499154,921090541,288119885,252453927,90828626,373200522,496768974,778556257,187976376,920759121,143932017,870692987,423186292,513852559,605972342,463803510,930278523,403577940,160538352,761988598,34806325,494934469,97287561,913865289,525666830,217735145,405021370,804290824,214390161,362953443,742031615,989790937,80256306,785890068,127254769,680550144,936704702,331755468,824978201,568088207,625804262,771614419,386240510,560293677,394016189,487611956,895957316,544760666,244804967,896322319,56315573,361141307,286966090,292200229,317144568,975961900,21856705,13438971,581763482,536057155,908483139,159674950,371983349,651029438,249466348,870632791,239908497,661579841,535253232,685300665,281221814,64575962,231050977,52170623,500685715,51804691,1404911,941168479,493126726,202152416,151875211,378787584,249580285,281760871,900199133,787541311,476968205,282712963,178544109,513583522,482459054,228825644,56180844,750643387,467735755,574102746,5333045,142772703,139903714,378150074,604798426,13774957,793815377,433032845,859260452,541829594,254286818,480654242,899520187,777595747,737831863,235570668,79402550,389058645,469533840,824341802,962130181,626141511,543156603,525427626,941966893,788584693,977490552,908464159,101469303,204619689,445150028,923169729,987240505,760665958,595626940,922392152,359153306,4381277,294903915,888383012,568737050,705314315,212043954,249906736,943284205,163945594,159429741,512653994,447539493,245128752,991417496,301766226,66502865,914720780,165700431,670946428,26407354,991948170,206696220,18591922,517381263,837938103,995569622,761317079,64464575,992726774,106695521,76071157,359158219,575982976,356592265,977156958,81647354,819837220,877223483,230849427,543770717,21245359,834548196,841850681,499968089,972828454,110330487,323097839,226542005,815592661,764298037,70604950,153704308,769389121,751088136,188687853,587494454,762197903,729943324,414117866,759585217,876297823,707678255,84230063,385304279,976709658,802521844,511877623,180843000,546110908,357335999,76746037,918288533,88234988,811052938,839844379,60718371,813348929,704224454,776344264,574031941,855635783,599903221,505228915,734029360,572003372,972816961,741734234,17719173,198376178,433344052,222067795,649137331,115288736,825994177,273477875,485987050,474635913,650328805,713749096,315673329,819068887,449870384,831491018,788857904,652534248,54210088,567699491,412179179,375406596,339532731,413467150,87985504,560802858,170648584,513959401,156120872,743842935,120948221,885234250,746549993,282249770,424827599,739310707,998083861,376466078,153123319,247314385,899419580,901313295,192913455,288730775,486568012,59176822,249664482,552315300,745197916,547751098,454359106,541950164,808333559,684934034,580585551,12928426,42888921,288646884,431620237,516219862,469880754,624166350,935507209,787331643,249632282,120433639,941759323,840389204,739687963,742882317,690872363,811628383,582842443,735893773,464008507,818734688,943597945,110384116,221034400,449503300,934514217,897276446,54042732,400347214,712864439,867678433,394676046,488588580,826495002,862816217,859365820,783737544,978174440,476678375,737756762,258081128,838008823,71106873,427355688,174846538,531021291,589090326,116394984,652197602,48087579,776243343,366109923,91064273,888216042,287028337,655385682,382804818,920546135,159247205,713285454,25130336,646970842,316100822,397862946,566088723,733333640,205353559,482820043,506561510,562285384,968092480,684611344,31439074,413002757,11318070,183555330,314784779,906577685,573012915,696979517,996032951,721974607,943600346,675761461,735248240,485046379,10560545,856115556,368972881,86247104,149438652,243366157,944475931,185602460,410923664,144437286,589988818,281386883,826255389,877180475,150111753,918941174,830519674,292651458,617059982,805626835,355243266,175819045,969383459,601301297,523733223,952612061,68196406,388920097,675878929,558494114,948258885,102683784,710705116,340282324,802743606,505728733,882118662,569553911,261763830,194957459,203313621,824005795,545942601,146216328,317619223,596622874,864863993,88197288,130677807,619401097,363435772,423743219,620379969,944736530,3057090,929389005,684949120,21282331,983246527,54862192,879534012,272135482,737238353,880213923,484227833,231193014,524166777,500829056,632448443,655660913,238315612,497665487,37492976,94805082,521940084,873942002,280484652,744575707,848726793,954006855,456650725,330642918,269229745,58862551,53998277,562228552,596080031,851610753,829225593,911256498,783696277,885900941,575957242,679205122,250386215,482657082,871413067,932428399,440690149,419972824,368658967,341410380,852737911,512975282,802438385,204947000,53795990,907421541,833476422,17897168,73191484,258816420,919628577,695361790,501248480,965218670,722196544,387640308,532929678,176362623,300035958,409555775,445099460,461332800,85506479,209397837,754496766,854861793,767634140,583454317,44592486,605955918,308280773,254412108,161764284,407615881,227818633,453515321,242331149,622317623,317534411,445846642,216302006,682265996,769480607,733441398,345609594,333022359,723336628,124065258,324627270,949147849,868588258,460190091,891590663,371329022,233634427,388830095,935829914,109925990,403657738,84656024,393438207,605254046,66446398,318287411,202786639,486038302,173366410,387579212,16219452,130970295,457123653,207974392,697370709,247091419,693851011,154122021,968790234,537729643,785063539,712924506,224873313,564570193,793814400,725032053,671104592,228132194,981593256,249252507,24756327,679947608,262304832,892568385,506165821,536860101,544295896,908105577,206976793,422367480,345205613,353383787,902053476,310550244,724871644,339782356,264678584,559743019,598197265,613295328,565817125,263716362,148842316,791935059,340560800,647609895,640333074,670917529,741816263,387732698,654057624,471224144,400983004,248303715,895193060,741654552,702773481,455773903,989383658,794666324,615697762,76008713,902322780,833909842,568366969,194664830,230008047,840767544,354370256,63027273,888066917,175656521,11445824,321601794,97246519,182402122,295803320,164325535,460764790,172241145,925334383,452098023,951831796,816458358,254028331,838055453,842820593,958246646,232675906,931644530,966843696,190726319,337876763,308428602,152246316,793572725,331600747,238342747,978472520,445977650,771590032,429402641,356265099,813114156,435668554,328775177,826162490,15214292,980982005,448801119,770810601,194213856,519180718,763444478,38277670,855482284,126075838,90472074,109847947,355676621,299051294,413079091,748984016,160364924,537732304,55246645,339828442,91460745,681765440,938499409,600785349,489774063,422142535,416909283,395093071,966776880,351764812,244338638,410476495,365196757,413709526,81989617,977315678,329596400,978057906,14044134,218619731,921812069,199543754,158763032,151830804,557448191,920228698,748473248,254004579,954640679,689740041,259223311,131677030,714287030,708480969,933011715,62179299,126917010,389522027,538917365,557491392,708306661,423883500,749101504,712563592,472870219,985292464,910805360,640098480,528287005,917048301,23737464,942989119,535490966,352028148,147796860,493999454,992837122,259524200,675629121,912346197,392764617,169064049,950208454,258894607,506178071,105973942,415171238,101994024,511335945,71611851,448722378,973131989,606642598,192731803,487788928,408577674,680996656,377786811,418261155,272516239,82659286,335625756,968276064,318741763,380979081,856612603,319696172,877427358,10022181,440682877,14256092,442746377,305625023,414657842,428546312,257372516,907178853,774226775,450269520,318707109,528706776,314782409,272917130,182749173,103771718,771392224,889362750,322038033,642056045,769863562,413570108,824974461,995118222,268027428,843790934,208013332,437910018,684206342,411926993,811598108,117752427,275112328,945694436,920446810,705246118,303657750,689000691,107613705,545621231,774349584,619455526,239661803,858991489,675518171,823249428,973500902,400504207,854189613,34632725,568977308,174283618,229662878,747442705,684076390,381359947,477478599,61349772,209620104,838633941,598683227,262652577,282310021,248452768,988284317,90393353,704682389,555652558,855520663,747301159,677639742,344100361,965513939,352501075,445290248,448308832,965344280,631729169,335295721,341560803,514256132,318430082,698443260,942878596,392659042,739956794,306052988,807077540,967363701,900572000,684069416,159136849,247879675,256296969,451820528,507233518,495305849,649312214,950482152,947697307,757442036,850341810,731064131,750231994,259284933,196597955,83522720,528272710,905042751,486525609,485117201,700555441,193224048,366945903,637120070,783027950,26463423,901660662,523485361,28697014,431341136,79670929,500232861,142203695,115251379,713618100,363102328,715379616,769176714,166465372,511700037,410395875,793831882,951682630,981188162,25207034,145162367,694604000,572227300,517241614,763444789,581340979,951576200,470194693,918743494,295985518,929157380,930847133,724629772,139982499,62984224,805866811,306254984,83217978,113738620,345338308,668447623,572662225,35189229,871016735,364888927,157081238,945826079,785195784,384223971,942005942,96764265,131242563,109899630,311996657,882660605,732076008,47875581,664703669,823724610,900119135,271622520,496872456,365668015,949067023,408777403,538363785,925362418,29791186,706656108,477683040,944506024,339953711,719761163,381296863,936025500,940131332,352688994,109673784,633151318,423673261,405928200,739859920,616623775,134826231,946523066,440173070,201273999,851102543,187256004,312423371,38875908,887463000,3503832,387199670,244824157,311946288,981309406,127246463,35799916,191353155,130469630,985033755,574896099,572521539,281538238,832869826,867315361,254648462,973774234,123825784,569653829,39035537,104962316,876438037,377217212,808328613,845998404,64535468,102282502,122900356,214608267,678454755,932471769,894645798,873399727,464805901,563015566,660110145,893765478,727138892,462153990,297726136,697681310,753683625,463981476,771643849,127355052,322863606,2262938,191714188,185036580,69425801,2820816,726010154,633977627,286799342,329675561,258101316,674906355,697881515,936106667,71262158,72093230,585375963,223517490,380065365,125733941,185175926,352110624,997708859,902421103,381277720,387208173,999886767,433663407,229614454,508868076,616807437,997917214,420481549,314486592,641761300,39364810,348125280,93848129,500985068,265348944,404504872,178828217,802160216,614256718,846122876,679647044,864688911,638476433,663537890,429792826,537794680,111136156,629250557,275315198,294685531,650249552,915921636,590255399,80646240,627704077,144347005,824349797,812984585,994414631,209882779,833710718,611404349,963009823,63541503,77233503,860330713,308352582,544554588,783316880,163382272,668889060,128985667,925877052,598257156,529778657,128430789,955232877,128700,80349701,251612752,999763861,835482422,264543223,798564130,345165800,638446335,164999739,749225798,880709428,432375294,197583760,927520111,391232979,304510800,814207782,766728882,769353452,95615545,862830753,921838285,438341795,912688204,850470367,794142568,774453024,890312836,111788379,810157,385269309,806664647,738798769,321720812,397429559,285323916,16861129,502082117,500584115,174549172,370304120,718830285,344649166,697348032,932602849,586506483,275116303,293669235,884937310,746603521,506523972,384060315,182590934,301774905,133133022,184594956,879430538,2038938,590681068,267117226,955482146,881527870,751787332,639238909,106360909,762164345,160475819,218960008,281707110,653642878,291528929,53579768,175276056,822006956,37926288,881841337,694515423,544110593,44597251,918862845,531750628,494668365,440201415,695085339,224893935,876107861,882827194,35335009,218068667,171364598,515274083,705054170,591867945,197725680,32259623,523470334,870143260,771300523,575784771,805397802,456522344,347239952,449229168,882409565,226270736,22602079,787595245,749466240,348939768,337334755,39638608,854090748,930304340,652114342,437581760,686528533,258771193,381223123,855932759,338204580,890715163,929021218,423042889,524534325,622418076,653845432,923733807,430453486,608496317,822992802,851391791,687669279,861917975,981663410,403939953,114642665,407861596,703360894,281573612,874745742,332300994,920660729,673296896,473299407,871182245,742453285,32303082,637698115,309922329,512596718,174245852,14592485,430674126,81931891,336037481,522276783,532727431,879294942,543926451,542306614,262118888,91759457,741720351,705491375,703307775,630986275,476803671,58356822,973536119,384916859,830043503,475955053,445156617,685369644,972171710,381357790,594955442,641301166,669583732,151110314,122513467,825536648,61798897,619607828,139681312,40017872,42526746,762686940,623216423,321602560,847723293,642172594,131104479,608907738,438120754,635065113,356221645,283980573,517035742,265742780,831068701,451169548,554768749,797506972,958875767,163739725,740987184,836383930,504505026,869214651,285917730,539539603,12040476,741770405,245066216,750127583,270600152,152717269,543149391,324316214,560656728,569888085,709226977,722532162,806237210,568948756,727569017,665430942,673913372,965985082,411152767,105080178,797630901,98835914,949543399,987140151,239715237,977926399,917238705,644629853,315261824,185175100,581810049,291736736,788305306,626134982,247481272,266973130,330732457,439259257,989610386,416587897,36851835,335961673,758855607,961515146,448486767,457670344,216771555,651355235,864484555,625886304,678167696,98198178,617614858,122180256,243660051,172441807,654085811,867125175,810152371,100921472,419735394,625189788,424950610,735863858,157795894,685320849,30717151,517710009,156743164,857428017,222361332,605247789,812913695,873720664,57059210,132314601,616479199,433691497,427897623,190246301,727680809,126656621,530348708,399542028,744188470,261174226,239511018,37315222,558259197,712667221,390123681,68436236,77094373,955540657,479513281,921313234,402966769,668975742,928066976,48174814,325109749,880495439,357113227,116916359,243616187,422016270,922207251,212874699,124786887,395768726,293876385,369594896,81260699,546646590,975278228,800427611,449811022,459410450,402125056,831283513,37495652,488015043,742742790,840808700,693960677,557791072,681033200,200847345,19838786,593451935,122622020,106655500,373033515,688540551,104378388,581426371,584463368,718568544,127646390,717583279,645626251,591146316,775460503,92412034,170100961,825764520,869012208,464577533,375135727,743533286,40492962,94461370,273929227,663917843,758773074,664172494,893832411,427326827,670097112,190887713,173807789,982743582,215947260,760608162,730674440,46674450,903164787,361479928,88879931,820165303,663750787,400231364,185959629,963791906,590232477,315354128,33331520,176829264,923576202,196156334,697581350,626375012,404787605,640763847,930927503,328512526,811996542,653470381,794246178,211569224,40478865,227869437,488832447,320712038,577163685,286929019,855914972,394641497,266222326,688396814,237951474,474647182,747598166,647104170,567216984,828889397,427247119,28659705,459443657,587167564,264951327,320890717,368234864,47777410,452453038,921286540,560547196,958411597,820361374,371549303,220074465,486445902,995537423,615477603,999817851,585858374,505847325,602435131,991353075,90224972,388724876,530205587,208705459,978920991,714222546,378704705,867211259,131135897,34919529,552616246,760447980,475958905,347189443,338679637,614837889,622273224,152479006,95256598,155838430,290560300,188239608,265842987,352830847,807295011,918909254,644520085,819799815,807294323,48741207,387624044,791954730,961052720,813822603,600668452,447819241,518358906,37564246,923326816,544867615,307807045,445858007,248232427,454738699,39968256,889315128,79043969,442767786,73433426,628011229,785470146,642193942,881556907,572690886,653910656,927090798,559262750,168725739,323619038,349233080,920377628,893116861,331359102,741675202,85892562,878833251,978240009,437581441,956968588,195127647,987073822,673920036,180080352,825111958,185500967,186134329,94873339,407693504,698935924,684831342,782444163,17742704,123630431,275958888,571828338,361899968,349618415,128343390,610410179,706210951,232202646,107643413,133362785,368633009,414950126,459331484,764217865,968854625,33576192,87977043,119603327,818420617,208147329,412849925,966439421,19261629,837812073,211503748,318617576,366458523,279978993,238148943,458787494,844460344,819529433,716116339,766346722,612079361,466883122,38768749,668596478,321689783,875859319,732243382,690443533,737518094,618741195,540577597,17067091,629026951,306211025,115873160,998011411,853745809,616127598,734669703,658766328,182166568,776341604,623278328,597293638,544183780,922294873,374265284,570470761,419754042,759350557,175999503,116358094,671865539,377817509,933703054,291359294,988847998,810434930,619014530,94086979,150766695,581908493,729661839,867221695,479105681,8841617,921614194,713057443,842290960,586311329,29176592,587017613,874544882,280643074,906791035,785750528,283148162,12187136,194655973,43309834,477330976,133251619,98469121,752759514,794303233,19094212,831406988,66186066,204352028,987420632,91366895,90552169,248685431,627916193,717092819,999244467,837258056,975452249,918408080,372155467,550737082,877496210,396804016,5468682,820722114,559965445,417600280,280048792,767380121,853167699,116734490,419225678,159662091,688883249,251684835,778412921,636217921,774208309,271219763,36792462,98654136,208518775,528445879,57723910,628952593,467423542,605815403,197659164,813305420,21986121,953049163,442187677,260713906,863133348,474441761,587590062,922051441,250498541,665676883,953186200,659188410,756531726,866396295,726376117,645436762,264030924,415783292,976046457,377975358,746114090,777838489,346914008,182974702,531492362,59867346,839500544,665630650,396608053,378032483,929256120,985530235,316937351,274357663,737974303,709028358,97825036,608162639,910678507,286634391,306816368,453174146,288246539,727770263,180442525,596076757,640003318,537775396,974491915,246294504,741267978,721832951,118106386,319220458,813232871,255882537,406915683,917944079,578604217,541810101,681666858,22483301,244260246,468851005,529602079,819865439,552431281,347912230,591541617,254501166,869031648,586929810,763414540,623329786,15562637,19383800,573515579,405695436,677831419,77125076,597516288,114973785,365159060,85253869,181872957,846539000,869944897,426463230,596071074,789936387,483566722,734888840,244436691,597733845,115881726,879935515,888034669,675448506,164140971,771018330,968541769,157136987,785205516,219479274,24423877,435751612,546097856,733407154,227161648,367955487,684885180,550122989,960434773,787978019,28096113,159615158,556525625,935208301,850825835,758043798,558723117,260357670,832376701,551844912,9037664,70126641,972974109,443826219,989096137,721400349,311307122,676385871,724430806,792623434,608104757,266738125,539629022,884226369,843292947,606497020,238996751,151091091,65802764,586306478,755457071,325481320,682620539,461271456,785189439,985889856,287018156,224168359,568325280,92320195,406228944,476828602,58690505,463186163,49392113,492110736,28891896,54557198,56684131,15350761,884056248,489247276,242464540,871240281,188424735,586959990,492756594,580649279,734223054,986824993,466077268,213235395,594503681,192444036,519385543,863633155,632958168,805228021,597726784,445117631,945306305,652218659,702207465,928911805,984482742,584429906,702928876,962292494,952069223,435485092,977705066,358987145,965879954,846014219,583044688,221506755,376581195,901195607,136417385,471448395,988727094,720939150,167683559,289287305,237062080,227625425,95765024,523019585,911131599,916657507,235744473,264586789,650375957,21278225,322877419,534956862,65142945,207164080,412577293,236698399,415466325,35044311,607500564,323521473,104546821,493836617,627732955,244929518,194116809,823735298,75412787,286333094,575738484,406552821,949876463,454033455,127615716,63599387,248902419,543283401,827040942,597088274,464663718,70801270,503694485,739436130,793351815,86187037,745793826,67757025,815178335,804185060,396509277,352558005,584686909,426204879,662205226,30645961,574226735,898725912,417490804,627656384,989039546,529838682,148253772,57695215,83485749,920635026,806247634,496755410,739373926,493671140,476056085,975397154,673924673,110949088,24956187,275458074,191202126,875503129,624102564,993448207,135230123,444620806,978740284,251544104,606062024,218217864,470875597,152047928,83756252,992479154,663075320,799485823,938344264,537932167,945959906,371193914,432098964,351774996,522865845,558241995,800205675,574721633,792016903,625733095,683430121,805172678,750865396,923208764,635499644,453445541,277420911,76921109,836046427,760571086,751629600,663474170,322241151,576611210,231320655,289673826,656395732,265844534,298931073,69939028,447549195,259878972,211513085,552119613,338657612,896992981,271108571,644853908,608210120,667562036,605439405,175174104,714074195,296878134,364310949,349462631,244966883,131813135,258534074,640223262,393015697,959432959,504637734,29582834,607207112,886849226,984945956,427864287,372464490,995938842,205040759,587438732,364189507,634487581,910802534,20723340,992832600,74383618,540255983,178643940,515304333,697002019,891276032,457279798,880330865,156196674,671464386,353694316,616245022,452584318,865890288,692213815,192854694,784024323,526380404,275020369,236611918,167049483,470125573,886696210,128346577,123509498,501322194,747992671,589325131,20557281,267752541,544445034,478619007,358665615,642544898,310575894,729250131,218718383,685840054,755182505,161335747,104779653,497274556,112539584,140604702,722724249,114978663,882951608,73774842,27515275,949613311,822293288,480843927,398687573,557313357,747278567,478299696,730036901,482774309,315100133,326398075,754929374,22124239,308812122,185080306,477269220,934807130,462450862,461216332,555045415,838890931,182626124,798241483,635710947,3955116,635089401,203974469,403642,441094613,549271549,678094364,225244265,502058387,827555373,408597422,774374424,78564984,986873249,805971185,488113118,296890697,188678363,650534508,939023656,712335322,1592039,524604504,827735120,98905262,765178526,321356743,805457688,615850837,344213225,473866428,789428627,327163611,814095241,203768296,307074401,988585802,103231948,932858164,963300965,739997984,803461939,698695066,822233733,547119767,770356325,69073489,713214265,95410730,99055474,2506809,265734513,902491601,597558802,713499292,26574927,419279433,885266562,42856806,811468396,259578171,65762810,934752106,934317321,750743497,800617882,27784585,365585274,630330414,322082518,508054707,499706678,441666197,291394971,214552982,417449979,264242186,507283058,974467940,962032555,100050859,326994714,653190982,763058455,112788398,534012987,881285456,706659382,680299958,14270206,536762174,8670249,645726452,231751588,72834745,671214185,158038351,485580632,814400712,160539216,638678275,116343253,432145349,733755915,375566454,574020674,945942401,994671464,726138910,90268414,572758825,598776869,664942258,417223974,528151091,52039924,519505567,715151781,577293308,569467608,923947416,741666250,886163163,908765625,584305937,886605588,197920972,429716492,600676760,89791971,144690243,177067030,838705323,567169154,853754432,818506794,978524416,244814710,295072036,300511460,661177167,465430791,387806586,35178273,966404691,322969652,317319303,271441355,249613386,774996725,770230632,705096114,875514064,514480519,41870930,386588785,631355561,809381170,559659682,987435199,727449648,27885941,286982534,376452376,806312998,763820150,714149379,590347896,275028487,301792224,875431535,154842297,499239850,996979165,442051087,660032634,855066738,817504431,594899863,839170061,574808810,910058025,202445624,819424614,604506266,187593671,795458782,982408627,190388222,66539501,819894552,109449551,551815730,138427707,718686425,325424027,853298335,350635873,254271870,286420730,378063951,757812959,179863611,512278302,604208473,546119390,408476561,975885089,775155433,912560899,361528907,224213317,785818728,382330574,593435055,3049416,342341873,223660904,958324914,498445820,438784467,23609675,670801514,224128342,915855771,568204873,112674180,494010177,679930327,276321998,95748372,651481466,293729616,622287685,531897402,234970010,167623426,976591775,48464207,793046571,879302867,939252967,900673271,764722449,400670317,390298060,741661107,97291975,615860962,374917427,51141771,90366775,549996110,56738575,804432113,897318687,872741699,513817778,646317692,378340935,586502881,939111789,671310899,773042077,316117506,119832425,126550698,322357177,677955060,139594989,66660934,98604438,286056356,413506561,967271786,925185029,547057289,241234799,20973757,303756585,570469771,358458676,642875309,202033346,395514480,127340927,130155927,622914628,263168819,607135260,772431455,805329271,405730914,284552024,978725660,750564148,887972248,521369553,213319637,725733271,196138345,77276052,16120543,183087899,851836881,978857989,646627237,390044860,532365562,68956352,92151982,382082281,279428743,568550334,541196261,891383701,595643416,816782801,564628579,808504904,332864535,43646124,712669536,692657966,702252816,728252287,921385943,291011040,861432503,844316702,703608330,433124203,137728672,912260831,10788755,361717181,603583979,976196390,912135729,164205435,126515274,595706121,206651770,842457460,415475079,505558851,529389237,75974270,81907469,685289488,996170527,10743788,404101784,612324872,46948140,431320315,199891061,531360566,534978572,783379028,404588829,526882790,501269090,29360185,934559905,600049059,930491802,721052593,121506896,117318322,336574422,703071355,867802218,524004494,403294329,529328624,199766438,387856338,201066863,826312427,230860127,401664811,138054467,466178485,786425869,846981328,828918982,26813705,350297955,750808002,847279810,654458467,318989954,279850322,582724686,530716661,207769267,765562612,786026920,197858616,71466300,726650354,984652523,999935642,305613574,542801023,427502343,407956760,14391474,380735536,670480931,641693718,401942290,407714521,671653383,114869144,987907964,160427615,915329440,869418214,770155037,664844463,43180135,168545711,239479629,805201598,955651589,20687245,178806002,868880027,672610356,806033607,304027735,101465749,18050953,177236804,990059411,751947054,83572651,492263594,579755793,88337688,327142754,655282189,156560313,594778269,246350684,425614646,384353146,45621067,430017065,763352562,195360968,707744967,330244762,980734244,11350546,925023040,494604491,109645983,733456857,781526638,774778620,623166809,846352856,40533802,384053882,533957030,506049220,27411621,752969920,770606010,871882787,326287859,532643030,327689101,732731186,686732398,234214658,362065542,591108121,633268709,726187757,771534415,773373102,692962841,460139793,932444051,196186309,634109831,423471814,590422037,404710419,925958441,426086976,36206926,427247757,197321079,857393206,637432807,645529433,281499134,449063048,66914723,823482207,13663360,750421351,917018520,445194179,267146737,349953696,971035691,47318453,204714347,982129211,705516410,134109671,314368396,153579740,769754189,341012188,644273372,184168526,664680987,382175847,897595710,953188846,157901401,6623272,324411895,39500340,861917557,699505808,595628060,399336621,406266724,446215823,185777039,963546155,303213193,772338872,274203224,646103995,722638769,795290923,534473675,440917965,585977529,380555784,205969671,503722980,621859330,978524402,915245617,279753588,173549910,35132363,776907769,235326925,643765214,182887085,960869071,817410933,681461437,733015801,275977318,843773276,784228299,75959967,635809403,716330315,349903503,231086842,916403627,828459117,680279965,924519048,236194083,822721129,538071040,718010321,874929884,491330478,477822112,763086454,124882195,948797441,697783226,951621665,576773247,511834351,780984364,513457886,355931958,459988953,415418116,199070362,853824951,126995199,476348276,733020297,104903497,408492762,285148489,738054843,42511272,523864560,269236745,720603332,41183000,374270323,77722088,942713050,654839700,623268294,478995796,551904652,237271718,931503986,645209865,446385239,420671794,239276607,303945172,561625181,667012511,648014184,219099845,494080490,474458068,312001033,150563969,674205499,351454429,370890573,296302475,809946356,691238254,434811867,289132865,839403619,870621080,233612159,280249248,540742236,538593058,537403092,325171612,636434509,892866055,592264551,249235249,276316574,163894902,611021312,561570938,345544652,833046772,462162414,369194321,563984211,276954621,329769128,182275916,467556857,100016303,595128772,51445408,38302155,528407933,590298651,43180779,811518179,153773300,171519648,803376791,415949282,817114465,702926121,961888586,563047977,554871028,892424034,600197113,102023217,967685433,710354346,297007060,572495976,914653866,420543136,320375609,732060881,181900514,414104246,844367071,61985727,471935821,736133721,224224100,820188859,774364484,658685584,783567300,894719885,902437169,450293422,537614304,603003673,695527677,33477364,373317106,843541334,305154916,452356929,834788983,943890885,445899667,79851031,108186146,452070576,92387170,331156868,275245877,296416839,936640360,685831130,868812989,915596066,678972807,754249988,406167568,160681810,660958811,801603577,947578752,502651831,912770141,437664415,627559790,315623856,263278599,56070131,926167700,147350937,601383020,621413940,343087776,251881850,525406698,265803238,471572691,637436028,587102849,363901548,590504900,891306181,366371033,325488875,667100227,516704324,16879300,362378545,190040034,540504494,975343646,234430331,815218222,461693743,820876620,144793822,142995887,456319093,132922305,752114655,767188848,95934703,613972664,834423381,918805792,235493147,72559876,209897844,992815670,138900484,292876180,315567952,947986497,950650058,380468913,419365845,717698624,130401724,615955603,295089303,139727018,859088438,495165904,641635218,646776510,25275977,568932960,915466186,177263414,123119015,222808544,601531433,320686271,38657674,33341563,540484864,176427122,478048767,711210909,96693174,555230597,218650209,999282939,826849027,720295236,211238214,52698506,613914477,194109098,876710066,740138593,609597647,829699314,193911959,600063819,914668029,402069880,504001455,831306027,495271578,642362942,545055197,322599862,921843493,104401477,244222994,865026305,482608882,279862423,164476967,736868035,188542687,760615120,14413673,847067883,913467119,673951911,492066128,907837021,836633958,312762616,929953324,860290954,174302586,306718652,556027318,691973675,907135332,198313673,884292464,829716890,447890050,341940186,560612745,541737591,726742527,335317368,822330113,875628287,17438720,828233949,416362631,214929144,3655356,164785001,267643460,654887575,894986394,102336681,507531493,447079009,722100891,20397053,17640550,565513073,555350345,592767495,428176895,242137443,476998216,623941632,297492083,579885130,748672385,936813735,146638073,476767361,834389850,658253321,50349432,659061798,67496531,470026459,193340410,514301136,298893713,578774448,138473231,703492494,60103250,898739995,926685585,423813353,175530585,680684771,39364359,283130905,940338496,113125389,157570241,47994871,832795239,5287096,684437057,615554685,96208823,761568288,923726072,995358813,452670317,371753118,511939459,965163604,226371662,20183866,577406537,115436603,615331239,632008506,949151680,460183828,833132391,318461745,839343205,269025128,968404852,821455476,211957250,158729405,659098138,425183001,161100921,286700588,950509483,178645800,748229213,890509064,57207506,623516070,708365332,88099293,518176507,700815364,332104718,697974528,899117691,403656851,238124293,177788700,654046185,210279692,53715410,478439060,145821513,897727942,854418278,413765749,132758185,476540988,315307553,848485705,315803239,10390200,308922453,815043257,712833573,283271309,525858563,427009938,46003245,915641768,225010458,191377149,444792935,664680927,737914454,477515571,635590664,835569692,7152073,501997554,13932364,471668042,86511176,756563600,837976086,755841568,813963085,553473580,715181114,953336989,273765479,675197462,520153248,641267624,463850910,586355695,434218453,613107372,794543421,1020046,645121407,384033994,855521433,838143419,319343479,577747873,839795879,393362941,516893158,82301763,290362167,856685045,247905434,324047179,680227096,397059343,278976432,661203055,206890045,747767444,263966943,524255474,422212147,816669601,237991583,26848067,242694713,154316093,945187521,724032888,148203675,795503055,45531841,240922095,400387137,593490876,410802113,605077910,467869353,114769798,643420920,768644737,604600101,198026422,901107088,966098664,497700068,984510086,616658039,394513213,246638263,663153727,617467370,562945366,265218043,847516105,279492707,836617384,425971442,367691207,887841400,503666251,829708904,616201951,185966599,292534372,460296313,246522171,649891094,888886999,528523662,517663184,785897101,988035429,486120222,158370017,247343432,99206430,892283992,569724163,377857525,647734522,409790203,322352773,846730733,176163705,993413861,155232264,654867959,723801216,259419176,905445859,672697451,40399767,43603995,220183154,294954692,849566077,792790812,303040515,517692657,22080115,53469171,860233062,611713004,740257910,21628858,672580967,7593955,638089828,778416092,457271664,713404687,901144298,900535664,40531342,475392485,198767070,124663139,717919240,934132322,536521176,680046757,592662421,997223762,119524533,664899813,760523929,201051606,311331045,415806946,753830269,412496812,147548382,608368035,194579471,116084263,986062917,999940801,437534855,38449069,54384647,612885065,733918673,169794969,374219835,348546857,723290481,180481761,22538372,549259245,736514491,833803556,359241938,514046896,307173066,538026579,544430343,272220015,617060573,966698457,105510039,659930004,506529112,832853879,220941040,926095080,499825836,296781069,140097163,918958313,92814395,892839224,115154020,1669334,645032602,668333186,494717080,501577952,89370274,648260252,147084787,23125469,371742017,488512437,196656685,609167227,37884310,768020659,36765915,428090371,299611919,966056617,595916781,27992170,110187565,347338454,296106245,499376143,190262380,976364813,388733277,20458164,836844912,675424168,440540651,260987632,197538201,65570069,938318065,208066606,72169826,898198784,739976140,67660710,552462689,211721968,319356794,823296503,348843836,317729328,591876466,351571143,33153205,206665763,21316827,722227926,128141207,554926784,94943272,440968713,560071080,501315404,901560510,661041883,284158196,163010720,796978096,484608235,185460979,582897248,6416710,143436971,226260741,196744862,607171540,703420602,4245468,606075394,402308263,719825292,671348888,758684337,745097348,497264234,697604287,918632439,530980022,436519731,308544879,824361791,994845113,381649894,540073170,676718674,337866028,70966995,306918437,901227815,597622729,523582088,784340209,182599319,608561047,167502578,808823195,508056705,630383054,684401167,744330752,923247274,435031887,832934442,845125429,29788829,243960280,2564289,20366529,631014583,419398325,30371791,166766004,133463985,363355516,782464838,424939430,126855619,22290180,389086101,420461061,556955553,347296987,715918163,367337305,193271334,360722279,560316853,526316198,963878882,373568006,588778073,878633476,184177768,437611984,151562606,662198590,400701275,376594002,104522546,204970609,268843498,748551872,138635369,428116776,299090758,153409908,332571776,127147422,347901476,14256459,37963537,479191517,655348984,500056576,330696011,918953611,803887228,234725879,926686411,723567914,629879454,955939381,185983973,476720855,377389831,991736325,247774440,924339126,328944639,372139135,30746903,865619518,787362034,480309016,935344352,478254609,949604089,681367044,674086284,576288736,104558710,904907013,34398891,911766899,83583147,416672108,529401400,73099522,636709918,900779777,51034873,303489032,312083484,678253112,245506416,203461683,608974611,489270666,880036793,664203533,891661301,2804095,154192147,860905245,715044268,339761117,871997873,60780173,555715589,135230786,306651561,275955609,406290494,682069929,709184634,719736247,796253432,574436903,445152394,707521650,372432375,414457367,433570691,723731401,348107849,571509039,243727678,835106433,753936018,411762019,116215490,15286026,147017079,231273084,266864420,197777750,427271733,115058887,401850615,575254191,336069694,174508222,51115836,720492340,535245458,735194248,575313530,827544079,250287243,789442265,968220057,886013656,718398043,829456253,253086529,480935146,864334124,370801299,500981434,89885000,674332296,91766048,237234052,114787108,628054285,616895300,308803462,141604843,510611067,211800585,258383305,538507370,612943068,127418360,980299367,571271532,817651130,635872327,660018072,680017800,270785276,588694653,993937037,91729047,138614043,64300901,436153885,856311564,307281716,786197757,492466916,55150247,637799827,291737391,306197395,334367952,675096250,535171341,35105564,326509034,702092213,611975464,503028040,188087380,79929325,407336906,671889287,593162842,416030260,615719523,807960229,661744918,838316273,859436071,871569305,765501855,154840577,755001489,666144786,348068997,488998370,779700427,38345468,643262701,509498174,905227375,491183951,492630548,153139353,343069959,801976972,214053804,248791388,866214699,56565399,837241217,240691769,459146758,980099187,62886175,568700650,173815688,96921164,708626879,31965500,512687679,65574023,742231721,915559680,48437455,933204085,763225172,912261891,948090827,798084292,916916547,966707075,700065856,210963937,379571648,846978766,584864532,609231764,440655051,304524379,633927846,46738658,995320932,249110868,187847220,953313517,687579615,81877344,583342271,158410804,703290615,639023995,633534132,181582285,151382978,503011822,292627432,684530370,933886687,733544460,628909297,347942319,263637585,119755559,593479292,398855628,105944223,89829342,214384316,547082276,996952400,889476017,986820801,234525462,714726030,94573995,194287341,551523039,293993938,17407829,998186221,970015319,26562866,732571879,83384526,336824733,880008609,6622283,907851385,368392612,641240987,559465269,245794340,872751952,254004691,899144520,413399243,398787510,702464228,205930289,971317457,995311038,896068555,94604044,506439332,4525421,890487787,239714593,890155884,222936380,809794957,297886483,835627849,794298185,99599752,497008734,40062579,423568794,454486976,726158391,372636689,893360805,549443150,349026482,172818696,134885415,119273865,909085311,606264296,902540145,982598355,318240682,620338598,346495516,961879071,89684885,879138238,611780731,477956795,333558486,419188555,119388611,719705490,694641619,952629301,500380852,484546615,658112594,174919436,573291294,341425267,692242050,728369704,758897235,952828418,47038124,911226302,82407010,398127652,79199623,848207030,44380156,131701140,823792444,99469898,936544572,440532809,366109597,997718003,857979138,356885468,777226787,482696700,572259390,965415114,543433947,119446161,45117111,653442769,38738629,548170071,501933239,989020890,953294315,537852787,288745347,570444267,971852376,289254684,243671291,618595801,588800025,511757513,991094535,951827228,205056252,655644882,844425358,740018699,741723617,740002077,710375996,352206755,956311673,596690368,234503169,678998720,109002451,167801007,773253513,814689089,674771042,584694066,952677528,130863541,946278786,677130471,740412761,194400645,650638869,400921381,63069315,959653202,484328420,241037160,366140585,934482926,721207660,723063889,215537287,587615651,918480568,452333009,739135417,390158764,838528392,553033667,547211375,540822338,940535392,46220202,285031622,72870692,599207803,14585891,553246034,558183089,268556482,737129481,764631959,330139990,67377040,735108123,750782183,759727687,924062618,849391813,572756593,557649511,455922732,165157339,843974048,160778373,169566099,697068715,31647665,824052043,287114112,46339934,550050885,382928114,108420237,674746580,252223926,123376108,567829532,327638670,790945042,308170094,445359262,235548571,243118513,148520842,659086789,668026880,379705513,932170970,307716568,855175467,395296817,639190883,653049225,97595854,791793633,544709389,193103137,219425975,735281959,243703471,763306041,374483666,838369298,992498978,639253473,547803011,383639031,245043948,844625039,316841306,320509026,754159067,400823942,973800626,429805070,122863771,850691829,865749942,115080483,275585674,228440964,137638545,465947545,975058262,264397549,713118066,941935905,7593033,494206785,575556865,281494797,992266180,596692491,347542292,798232030,305703874,474844267,209109326,498423357,330877418,723179561,337868996,7452623,831131930,202967560,335142427,809752833,859484418,632073917,996965058,741388417,652402396,287151310,31409926,875119226,9319459,296527219,868966899,195642491,689040885,299528237,324724001,306848304,139417170,843523579,240097071,993376313,456123381,15020355,925721671,29088463,64445687,585354243,633012089,940581352,511083292,18657706,196808956,595429931,883385386,634260849,261144832,26356571,336735998,337647088,865752521,849825310,382497617,453776525,72407340,507099110,446874228,758225897,684068506,591438794,249431821,729983964,305490198,271178924,245641532,264983633,374335978,370677796,670035326,132836486,291274670,362778590,62781286,563991464,49998203,128594057,414695656,234876667,351287459,954446844,635466718,654372788,61324826,668988704,378260576,93829519,770211287,964598146,977534326,936017378,540114112,587751274,486934700,961627845,304504072,753996992,112363365,364301282,980794915,36930460,636529782,758986689,836519912,21742302,117727023,331393166,183904635,928243868,401250250,678955563,594345092,908009695,261793282,887020965,401664969,791403188,83576262,102538832,298658588,882017163,609462730,912228499,90889578,680638849,705817768,977596314,87056142,869370708,435535481,23848002,264344942,862681715,212396864,925052164,170524036,3645807,189267013,74596197,418544773,628845578,877730725,39815300,151130790,337863074,916178421,552938533,289215807,621689275,775609286,312392128,779997964,739778818,756016200,289064309,128222212,391722406,498593025,819706441,75885901,497954257,777133448,351412775,161810140,226766222,41810522,979702354,888925399,851147738,503595926,675389332,399814273,804326985,266357228,71241623,161342573,271683228,623009996,607989034,64734153,297862084,515958467,423902678,843213037,84695643,48509604,138072235,495758895,524797466,567255076,934241597,34827542,297850098,73952001,383326568,129158754,21640925,144498584,98480378,410237571,626839123,117557783,39545461,720844289,805063465,270447093,913731074,715238001,588822135,201956343,180662181,964856668,317033667,768209155,949143379,668248565,641033297,356495854,580365767,288875043,391789824,258976123,886103524,482337620,473086104,816334415,949737667,768727236,977207608,189287698,190603024,514142475,633973954,977077483,418768023,307928665,659870404,212307058,755779302,161847536,924725543,813681466,750422338,487929323,929630104,483752278,33049920,398334893,26510537,765781294,569238289,520203927,846247476,334137773,203398137,345801643,807522726,766675351,703884431,123873030,541713672,634185667,969083505,723861133,443875298,576881629,554610568,815609257,138261723,923210809,535907730,636715143,916857974,315843936,154315421,353531911,303980333,165665766,163117359,425984064,583264162,462889545,905945735,460259903,792109269,246864269,399696160,670467552,854048077,794575679,976189174,554584260,237391658,435791467,759577329,121232721,439697792,654175144,100121694,781478076,172713757,913699543,17749901,546062547,182479739,917053535,891613160,348009709,378407148,948299090,465355362,548564148,239068902,213045242,123278644,676705310,583021430,445663841,968459098,138037680,852333026,569115566,23369747,475631191,346387693,92243116,52686098,220225424,355338546,538382909,230078507,431703849,360649226,877600660,502582596,744810400,544680460,222101509,820807599,106703200,956122749,153981991,576784618,44777979,3288094,575610203,353087029,479790647,984123426,345744741,837557881,966564975,286608254,970480634,309795204,771091986,697487348,749486992,851603872,587868672,694634692,189246182,350915293,550999163,141184329,517918298,469829117,12680272,629720303,199756372,837379094,322722637,700555176,943294563,187275840,272702244,694606634,229449324,719152162,527827402,385830250,81040086,669988275,756289420,113468980,29560874,331240777,767866754,375661873,346032423,893772581,327538816,272730742,180560508,39063572,907197783,793169391,653432866,478904006,181037367,899760775,801153391,390936959,793905204,717898632,855439175,835291830,701181615,213083997,762796196,831381123,60260588,416062411,977601748,48708968,923696777,51008002,869853341,297251993,592001279,696404820,748398586,757458696,664293888,692711084,594753332,925696339,841892500,149667549,375416295,868321652,11958256,101836524,107004414,747332757,490589501,356604511,230840611,779565557,711023894,374292417,6888410,10514769,874923659,303479804,583204698,421474231,35461899,733696213,514277466,321026889,796038404,699710401,662435100,45985020,40121939,161982429,183904178,533086005,216477093,38423014,615288841,73828842,378208598,406069857,64178655,460002841,274421965,835814694,296867364,185992749,176780637,492536082,585826605,152731180,299550027,334869202,172492536,931207928,400712754,731716179,84594932,270027634,124138919,101399511,278925415,564169655,100624546,764055386,775449079,746944776,856115239,127656587,550324711,116976197,921933056,82058154,374548515,623426022,197643794,654948717,177667753,294562379,413206787,195312372,17990018,771785827,715197471,303110093,390477336,70280597,362354153,936883994,88926799,88271662,210017593,186273692,473678617,8917116,295039044,655329686,943736253,538866775,779378472,208022165,46411408,626143454,161206589,333948047,610214655,432623858,865448034,584783817,735537679,170744553,814844570,97099798,109057876,482097351,666592015,606430886,451411733,18656267,803207798,456575295,155762867,842221391,340066485,390859269,877383132,501194417,630751942,311578334,549694738,241015043,360819906,981099651,122329593,728620134,620111007,674338897,584352950,371152544,45739191,235973054,163047210,350296370,938907915,103558668,281063488,719525035,186289364,304671628,77846650,619529922,445312994,370513136,627853863,915863339,388136827,148178928,118675349,589559146,709374322,29046359,207184442,421614262,571173393,996999216,201548028,34977803,338975242,422018112,923490047,429092178,280316830,921449849,329563533,893080485,729979187,148010000,28072732,278397406,914987775,161635896,592093844,828455108,634049660,275960547,604588867,539169729,162512590,735439079,767162671,454331093,941842608,691250441,874844862,236488201,295588767,776202478,147640403,832183408,150364629,656498863,786882467,106018038,44014229,324107588,711122323,582844570,841300476,323180341,46981865,802384313,294049674,607464493,82548850,414376626,765350423,222150314,770451120,322320766,432231114,310449255,908654734,198007268,639868488,437560953,731759748,588203707,688352256,266739643,414511254,248858682,381464397,192418237,269026368,194448311,924212743,507413382,422370217,831145461,576328181,112747847,7865546,920968819,294622308,309057742,540353875,728611328,443204132,45848007,38489785,196535267,443068511,526990794,663953718,77513005,645475018,755048298,675197796,366369044,598640143,619043494,488733124,688426316,111193688,231425791,183341843,716716540,502992386,152795518,781344756,436658406,321260580,892357972,714965045,536527256,661208371,659720095,591157269,810419991,317909271,33531219,759818806,670719810,461801784,443719651,823957255,868673953,675459829,412548998,339161234,46805176,587687150,983512154,840547438,285783998,241104924,59686202,546441718,626116793,812294585,797389015,917879336,44503950,308556441,636731104,220790106,323285683,383694865,166324805,690725662,315346127,358411002,322549766,880369824,129889095,366765895,504147994,606764823,914721706,7398589,998846607,612329302,18091262,921318624,741972518,502281651,194196286,327765225,185800077,237051549,111393562,745059228,833130819,211095503,634277700,244002354,560696185,848935838,382843033,357278003,649331897,219893898,728063519,120271831,295472083,25079353,268926476,344021173,169678146,975538923,9032007,137496496,356045166,544757287,330822484,950308613,84953750,703842091,781762770,854238852,613311760,322172867,468062724,693331404,350646734,803224052,704397952,512141909,419016142,38692978,659025690,38830520,836158070,995498534,164019865,229851653,77333295,482051567,200554771,422152368,748694059,868085754,164037222,656309841,890660765,260551617,852599137,773489216,336262588,292944997,76626902,570610493,881226487,417660601,502500087,165706491,560328029,26363355,596369154,171691966,314673153,897360718,922064751,440384156,993345165,421741134,261212731,569787882,40518085,345517012,927591966,863974782,856100760,324445435,501709412,733855591,595165462,851549665,833485632,608897633,39334093,641452582,135813115,717426384,973481355,696759493,602957670,687502545,266714610,573584016,78678407,396593827,589368010,326570276,182339910,405796502,620392282,906042067,992982272,979005061,709193702,281092031,473430072,591445429,878619911,666336907,221578948,254519201,422051275,466401908,815091455,544758592,346978033,310182341,658859074,410138301,914606511,527137172,504838568,361676942,737666945,158120835,405066896,639207709,420334803,476543625,538302495,744609572,565845387,868655433,564997925,941188460,281360055,417874935,510230137,812478435,619936385,208803220,466184000,370581880,962929043,10098295,237710701,452536679,641503329,363854061,458954230,505190210,159453231,341666089,997485490,675177824,9654666,762010718,213302796,579766030,788740823,295273855,725883142,104724655,621797573,330246116,74380411,103379362,915454016,137927424,862058143,9217396,522555888,798652790,367873928,200170735,565650568,865722312,267238412,25000728,856364469,813972861,694363077,139121707,211579708,601395610,503557733,769496101,693179641,48047359,466998202,18549990,900944339,87186498,901898147,874663700,581726955,57381273,384326840,118792183,267422300,737513091,1673791,712741603,778866979,830087227,168341695,22451972,422464357,816521070,785606429,70101470,668499892,286402479,773283615,200566839,330032557,252848342,770200903,703202841,477598901,876344525,782747962,121593342,423075188,174753167,336541407,979341468,116192292,51813357,255941034,798219333,737548673,674982490,851184496,64169224,130821456,995642022,549269646,740033922,341608247,125957279,233646173,237063735,949551915,433355380,514872954,830677573,693679763,700648574,72261095,9612242,484790378,70035443,470257148,194274107,40611221,778652187,99176294,21348349,198913019,876912404,700907330,577488375,168046264,639349239,56415561,114470778,275415578,162984811,793508285,330741348,450025522,193407300,962554720,896445440,934075192,351457674,147786517,659318098,321504728,770948002,705786938,597113890,676562851,820158972,768003710,223006262,26267736,331790174,264555158,278473456,654645457,321828187,213362161,234603615,137339665,748326446,782826454,721400140,293563326,227948240,333921407,656178134,957736994,965788998,975115241,380832798,377829801,8529762,237324959,2491038,982305035,26838784,285903646,973566180,150875297,136201332,657952633,68463910,350537860,247056371,763887639,461867105,913483919,691771237,767994698,193173470,903317726,729410896,228257154,169828878,226391126,320027954,547672121,472753065,959231222,310891319,624278109,75844588,238287172,583523232,537567468,708083578,560331808,685474188,166788148,823873335,869147558,952914294,528995915,649072740,634851779,980004540,511154182,252867703,221314097,347653273,91246712,301627535,591521456,577844972,773613478,81404825,275344645,246264040,473042974,685092659,677062329,969388423,754119136,47798720,924245858,447118416,581152063,652134340,125386500,988932588,96773876,457424102,894543525,381015787,268371255,539213654,165739841,107362182,655586385,487408855,837636509,93797859,597409802,62443767,53854118,889523522,813380317,41999690,428404381,78850539,587905971,188491176,733212436,420673705,280815020,240706289,486139591,679542839,760174466,962237249,611893687,889967068,638835881,893396210,129740952,75436709,680615210,293351780,57444098,304127551,106389804,374499615,216348081,690839620,439949845,338726038,864638532,320996580,420720273,301225863,50924307,918750369,527985804,413900299,72980712,250446955,456425406,311928624,611264145,64653101,53141676,390277773,253867013,843248491,564596423,338597031,589929655,730856601,777642183,686570097,984187843,559475472,947212965,792636361,428604843,562038006,207099603,608663954,788440291,203046907,866750296,841929807,128465925,706431626,786608379,610905143,197775914,264178956,679926802,627902295,878031322,975280916,299558479,336876619,844495477,691717459,543571157,509386487,24217262,627638381,127289052,492643143,2141566,734525065,675471864,253203213,191583088,248121575,571410940,510654243,198911528,520403733,34470506,481195397,283978720,304284951,818501300,755491402,616167685,960985571,167844067,69489618,115517223,318086233,232340057,883095378,410209177,404723381,200825899,365790913,842173353,168514405,379878447,535470158,601436505,782775711,222728212,93003591,290680615,577777854,461443927,997661957,827059267,222424238,970741470,140221610,206884084,510989527,801571951,668501487,218104412,523963227,349513369,324573817,32499887,610058419,28541809,193810162,706393275,447742303,927474462,56310162,223217715,605244261,78902666,310865992,683257517,340835538,848131976,435739421,671438384,372312368,763822488,263435126,273420085,674733217,421748835,218884179,790339646,896681999,423591434,799107370,788912572,50792677,73828673,976816517,324312260,28806446,26448685,579616971,77979712,206182438,556368551,313629938,587892506,637467992,196064211,507488517,728672498,571001913,318897325,118415189,697824005,142382857,688458389,342765785,222936456,823454981,912392653,893149161,245221430,791284311,496037899,953909771,877770043,772466319,371547921,696126197,106317898,457294656,748415498,522892518,577174075,200292696,580395742,390278813,906411897,711652594,402067075,522649966,821757693,907459880,91251625,353645650,261555659,402733514,262814470,442981268,823736374,39155952,203362003,263638177,197787991,625968150,414867546,650078641,932761629,541985224,918541648,471847793,184809963,308499121,413285059,315538622,855225203,523224772,341295582,540928023,26158701,779890975,979095355,86072097,100447974,650159067,642214508,663631945,943157801,972372101,766972831,221148846,861250446,477981749,767618087,869366637,693511845,278437772,541661620,603397742,7558861,717156300,436238781,974677566,317794876,708315481,777418716,369568081,843678669,229405123,757934114,514544346,921500798,989444082,270974501,280641071,212377751,845538993,566866336,237246672,464611523,899050419,479403466,276108263,977284813,752372591,610881631,364596077,685228662,594537672,128435893,916208917,879577076,56548626,669395403,364441374,420287662,181070845,955928713,884049410,798174712,687288182,337844648,73504197,521419448,358361564,599541635,39583603,936489373,873481845,358426664,465852698,760393265,997846540,502965772,786102692,768481823,159205080,169332222,506022761,977619585,384142171,418314004,224072450,2583192,235219992,560002824,158070061,318113108,876734750,450168680,221006594,792333743,58228918,814963828,430949668,823264536,417350813,164784888,978826994,197683647,892368149,73219681,383530616,159618498,45702277,206821692,828132622,923966555,951662371,67423613,445012954,818326614,22882712,95880755,656318470,113358876,568977145,233333078,905650167,356876213,265887495,693459227,680168100,814683704,722640893,482726557,716094685,784348493,271339206,691309172,629515513,747445815,243920063,820425165,688345894,77627900,276166473,738032293,652673130,25794318,525513535,25390286,269097131,714086524,967385267,865761104,489078914,207020084,964721365,727243753,216034184,155539400,436464710,425989023,527091048,404385710,912148101,189938433,49559422,620363861,888365503,259075044,704087273,614542101,812979997,109776375,872927405,143212089,52877135,710517719,246301141,755827165,712471190,894041596,346440258,326283250,937670985,637825875,833297189,725755383,463801901,154634133,887980225,126896256,8356055,41445869,267293347,166897664,803130721,882771272,94095371,595498686,145562619,763011176,204316838,642964248,43025905,27564571,574573954,491014345,457058920,784945035,430644207,997628978,372523541,321844904,222732328,607432880,350286161,692797463,34771348,280468417,318960747,441920192,418096875,786033218,352392063,783937023,411780277,116546542,152069736,900947673,94739282,992348776,482574657,594345635,461194232,817007189,217921374,559060992,769743281,767399213,145755354,783943296,190438278,786401027,580490158,386271572,898282104,244357270,374532240,108651191,722598934,583485816,484822492,553800948,761046908,469661844,513986865,388154041,26953634,708047879,911043341,477248857,676929285,350360228,1147943,745541103,580606833,944461511,762917369,89099707,973185815,831965917,147140762,189401564,798150129,81603696,953272764,415872692,739137665,96766098,896060594,966486248,338292840,748366569,348009531,281248812,502309536,374539160,784978215,406575734,42261256,642341950,447914001,630305320,908123821,477758118,144401278,901533125,714592090,311043831,728722177,234302332,543618579,743683292,115845881,945845431,289122549,290364939,742992073,309769268,586360882,116875857,966180569,681730571,677677541,74517024,334283359,376492878,446115460,340797265,185313847,425511116,197429403,977089547,867748503,249784285,527794307,182212983,840725739,251491121,28204417,162373009,814960156,480667456,917238619,885365909,601724532,460982040,944715107,354012563,562580301,627281358,493882922,146205800,720768777,358354103,748178905,66766518,958922899,63302523,560848975,283844532,413847699,13510360,894415164,570375351,270871610,143288243,204007157,983739022,118628985,664574790,215266720,568380631,750912899,993006184,782343079,239644487,513118193,676294376,452362659,722992633,273750868,623588101,933698416,465311637,265360501,702936784,802695075,925424372,947282294,826238565,880730363,169933401,742304736,193896226,426081214,985316118,648798321,585004242,801444525,730422905,94179851,609519021,31418846,354185126,559818288,73271117,521518879,753830664,560309551,33190199,734095831,707736656,912557723,953411522,548206249,515539812,520370562,557311449,580044600,345485879,263197735,971322729,639854263,663425595,871361883,686463593,216861866,48908105,454905422,802408682,645669233,366221972,858795455,213437335,678890900,820038443,89636186,391581430,550541485,73531233,242504987,690762442,344059698,318627989,542808544,963814554,863089201,97571340,889029365,211284334,75132742,21223487,411066284,31113544,294610365,758808752,891576713,265533304,111279579,705482653,621541466,739256579,826669809,76743837,149412573,480597551,937197024,82103462,647770201,739185201,415112520,285530639,926979842,497534341,732101922,115633796,364581963,200446602,869907871,88205684,730973548,559952528,38857217,830644927,236407670,828985431,715299764,738421124,872255993,446766237,609140255,205963657,197592069,811864306,837817332,318767867,134185222,381457407,759949340,771500490,202662200,81953023,311296320,986118258,656420949,651553697,765157923,565976071,522791031,562809604,175716133,534128490,932109233,565436859,827728835,993564668,429853684,629626719,971432997,736379548,319356040,440857621,442845761,770307713,79508375,4470205,238457189,203265012,910542151,598310294,998084415,938403016,975164596,641794677,859793144,482520126,946006900,307156824,806275165,482814829,704301824,669065153,907047496,493010019,451220141,248279844,867634218,787144314,641648710,457781895,473838354,304109249,667118133,389048804,569560448,53724592,829362208,384157396,375417869,585567992,541317987,391914995,258019496,313252152,610342360,255241665,123714709,654291484,698097023,441973734,438392624,151859827,952586979,297534805,951137250,523155871,105596295,990982975,865886278,495736295,532350311,18456226,507956234,296092520,454946850,325278574,294138234,976912219,558193586,345350806,970434581,573842878,139335585,339101999,247797979,580693866,581313543,8914838,851089948,170649446,485524397,781900688,788295104,68253555,362916012,452219872,999849035,255227005,800312622,802431840,192123196,323933173,865311084,782710459,418328642,371149591,197698298,980337061,643355867,430405789,677196738,381678385,528486387,11314128,505259594,374557826,592473736,405761052,504515117,636824693,552713104,619092744,322409136,398413861,150722187,715616633,179063477,330636904,823042256,300113908,105937171,5324654,737320329,483098270,223251367,779056835,944836892,750395096,568284577,750198091,545781894,810798022,846694164,662344319,100394131,426382257,86416706,63467792,4724602,398277517,273449346,47373084,553543298,628228272,187572765,769730078,887015843,809852168,508364146,116582117,547407150,272718995,217784517,720291871,286866203,834600344,104458880,502746258,144301389,157636463,895711148,222489371,680854485,99080642,243744773,145313646,44775274,330645754,929438944,774013617,894023302,119673146,279480661,23225101,880386161,400561248,236752047,483043477,880486499,323744514,353906237,522351916,774433100,825669369,260477946,493374523,241256788,372972530,95742030,287039515,698670810,603502356,657652103,649859053,912984071,743827797,702920742,968728150,365180886,522163153,490378886,969768816,164734787,544598594,187393029,727175937,253552409,101872466,123195884,528261612,225320260,154211301,922507862,531675716,466566939,802863731,800188732,329237837,579043098,313098750,837031367,728437447,629564699,310210767,452886945,104219144,631736786,768162725,777492046,9608241,553979147,271027186,960753097,191326137,587966273,589795612,332879269,414387126,764650545,519607759,119639797,88240680,77355526,122760679,458449498,628668069,631812541,266075580,264768759,698104336,374704106,932613033,310630430,832776034,65563254,542081269,719674847,908164446,3873669,912157460,21782389,778809401,361949088,177125034,952424076,194921116,595176932,757449166,809080845,676109381,186486107,83435077,476595420,235237333,529073335,840152386,61623270,173062769,38149479,68230606,847622306,392307168,284599849,617625918,400328040,738656642,588764161,797630380,410136425,906628267,722686186,817735111,436184444,474887103,165296275,272142047,790020157,17793683,140787485,61150645,126766523,708098114,539240980,226050501,864755609,764929193,562399660,872294579,79792192,261915425,848033336,460171127,495409616,196156281,288777934,763731884,257699960,338296126,144520210,196347491,988375478,784151668,34450913,686494283,60726186,384554068,671755671,305590282,939504672,950051204,746567810,778037578,449231426,958507022,309522501,445864758,569018906,320854731,616666768,910041839,328895507,51915519,156299669,632807612,888316197,366755383,795753061,764561616,239268373,144307349,261131472,602820768,285440807,759468641,266229776,89054182,465011002,489802595,536524130,448460904,497606315,532495788,643080597,951267367,924812288,994762580,715952455,941561865,680906369,965854785,224080307,263527011,827852920,197553215,264677755,404578494,209640709,14861637,796859581,584106661,349761193,562190828,899754425,989142398,733729082,927070191,173430587,265302998,489015487,204036919,337563357,743817250,880599210,773343240,204714488,624179832,535449044,512066507,47258276,722506270,196688546,679007165,881407266,459841188,20926735,677307136,755554977,203306428,939898604,508368015,168807091,573349011,295048108,749736367,220876916,826805891,132651737,820028656,962935577,928761303,493737600,311176158,783624020,832078687,547449131,954608444,987748971,730310087,127501410,376041906,12654847,663363389,549848640,187064132,128790419,193670644,526587794,635279021,772273428,439059629,668522382,857321532,331953752,659332694,126380697,357917227,609614343,79063964,650912720,311332959,358396615,303027597,615122419,727980017,497133939,443811340,988181783,611850025,298340495,21120222,971965787,569816863,129503834,635049509,483389763,204583678,671260458,522716347,630761221,363944909,534550195,18567462,632077363,264851141,813391116,988135772,522582766,339064638,27316734,210090067,551833945,267719775,568446732,644044664,749156338,366845484,393062727,647728174,700172306,258621578,880523333,802104638,345221126,484992340,987171469,246752683,545790285,67091513,50673214,565705219,125065995,906656760,310188114,170582570,568314068,351725581,244019138,565503636,106963670,127984744,578787652,575685464,765110670,931124855,992377631,75539581,92874379,24215012,137876791,42052658,692471577,690905019,90978287,406738704,570825033,90172233,72746215,563099042,654305196,605133470,585128547,348748595,901604971,144737305,117823255,978783048,310505589,228804406,297178064,974900529,748541366,540653153,685748783,484957694,968875043,980616849,354673352,408223642,145919730,912726603,230678678,855387434,900669461,935358630,139230379,206823635,487981741,181008120,106532957,614282824,757785606,980847116,394401705,335868236,924070556,540580120,342050451,634536569,460705597,34081551,300825458,695027998,11314587,138236557,794641000,520080071,741088935,241281604,548126171,188092905,508984427,18132874,138907285,259820075,592629183,865851088,461193341,240952179,296874376,160596216,194827639,926760476,176267791,451060867,383127452,709634343,312340026,164131335,902499075,857015850,421553833,927531520,763161785,325100699,975820691,476570355,566332124,952051079,26539165,576335309,487703144,47288769,681729610,509561599,206027596,579696436,866907860,174781714,713321003,293270690,936487312,656762376,888988459,41925133,404352595,584845545,112225746,899424034,187356581,584074328,244005259,815095548,158872322,492536236,358608008,14710447,285346726,622504824,223361831,157500976,291153974,427466235,422451645,916873363,684920272,19751975,690452734,321844035,728403332,207990035,116238562,955725757,628292393,983454292,200589999,365712301,319699308,722923098,559513296,457235542,161114850,549153314,390519393,78604226,487693296,602911244,993626858,807459933,636765173,103129286,381666842,619036744,868391306,127688466,688161222,97893105,112584430,607979283,34549114,859666652,536524708,482909910,953551361,973560825,597302570,554737604,411427400,921192819,506451512,733441022,71085910,277881573,738521574,842300194,767618698,192407979,628827892,145745607,157238231,696650942,69809672,97519029,219035922,975890162,349715732,976463521,390243942,481647877,259600062,441921512,238947130,354277475,904294732,83274657,668531261,725830362,643435797,149756796,235441103,457753451,827722995,350457048,994405427,393298660,637530463,992893684,346928471,101519573,73285314,740341377,651237669,184373821,783384103,547243893,153328407,22609554,570461263,359800600,719239782,971124337,800057362,299380175,474678593,357445895,555082836,373011509,561868118,519230795,239028462,202091383,932884975,224025863,953772041,363476907,225659652,999486858,229995555,198061702,91650129,707719157,163132156,766203165,507609103,304633283,666363032,325965478,693281038,572746562,278389415,156156763,44557302,71445366,834041017,266459271,544795332,562395637,922820704,494339832,148014461,731733123,257906147,821309928,866718860,952669950,213975390,977572434,40403999,111604379,272893517,176259950,984793395,928283675,123507413,415653739,234903675,41778588,100419384,165950749,697574664,622976287,148203639,907752714,700856552,741802741,761484176,934068556,399236902,505579215,901921484,213611441,82261048,785702093,467476707,427929464,140973057,832665284,2366916,509321049,271554775,194834535,853972138,986363264,362570607,938170947,653629774,519061135,954786603,894743456,810380469,76563650,381240983,90476865,797757105,568506537,792447623,808173311,870019719,581058644,51651027,10712147,604680179,324882177,730125509,553361623,454164915,656503426,570505534,761265282,238232361,166462767,504330852,74237884,701458160,377482893,135790798,538441180,46600668,655151919,360698986,300288975,807890728,342833901,280323106,829784272,18879719,993251176,260185156,749103637,555193741,182537742,370535900,853167077,881334835,354015336,193486549,107474492,627261649,93363505,200283757,932813448,514283671,732116546,69754994,203791371,6736095,818891609,753753157,933731757,221609545,448590221,717159602,56277206,942572136,404909920,742469080,309409984,68213805,976198431,415136053,69461574,741954874,584448704,752632325,557718186,957073503,920625415,756041586,943692675,50453952,333816201,791984168,638764263,639137988,393224740,124268680,861503048,328746373,860580954,825918742,632835667,759895911,736706085,76732489,183867523,471553570,479372425,894857238,619090547,608827866,504562269,750112892,483162967,524755869,889170524,959733221,1305610,393138125,498067281,140284643,264031610,378886432,139726753,836378106,103014658,523049398,230949958,101325638,629103755,327585920,829022994,832996975,281046633,542181370,890616809,8066514,989247851,305353791,506105968,728216203,578083538,173232183,475777282,580504100,992032903,418837253,614143766,498945968,455348525,790929671,948530126,574743267,51794624,560347785,944348091,518077400,431578654,551957818,421959462,534052272,231684498,205969493,586299416,877388765,978930344,32374062,806925909,400304464,118606830,669942829,190123796,649980739,374440510,264493269,623068644,857123944,501639148,138648533,589184265,700221406,579901665,680540363,400196345,972213646,628671825,154673716,91917455,255840552,983765110,314252176,691591290,355550045,611383258,356672793,100459445,485347651,837651386,985195305,652181785,44456769,702817904,592969118,743058772,84607726,614531568,227435602,905748821,988396164,825722365,202494537,988873499,641999066,260163073,784337193,850763625,770390685,407281685,390673261,228515432,481104248,840137246,18061815,422044279,245150661,432154035,218780795,746265680,665823434,496880541,57820039,243737401,124735897,246376449,809643976,764355122,484208912,584892380,531349221,445108906,110604337,829529337,256576653,413057015,825711736,74363058,99192814,158977575,36470963,368641892,359097779,256013876,621485504,779466231,28589126,152603147,791240144,451349873,470503020,792906797,532839653,494658522,282402971,716382806,80553065,905021953,132088116,9209409,70047955,128281608,352393908,737563898,145263867,762643030,289231650,954648871,888366559,813175924,92060628,790480593,439464868,541888867,443305113,521880856,600860662,916027555,629670053,224711855,877854586,78709954,340673649,1405525,986188671,178169065,548411633,811380430,54342286,151822299,200821575,458720628,86034773,221166951,912796568,249534530,207748931,58777094,385642814,657386417,348929041,704216210,793299311,866283492,223087146,101723232,610439741,956984109,235867732,991423229,424495952,381352101,161230539,481422195,650495857,143705145,681770397,928987968,936711082,973291065,37230060,944824467,401994731,895886165,697268116,991481364,313873237,337889980,357002828,384171837,861939455,82621595,516763579,153453914,688772181,595053473,532489153,977074636,804072482,220054150,903855227,879893590,261800906,213969431,553293367,168317081,702530706,983329619,477457294,1754767,166479690,667384605,936909877,104306727,445744239,451507264,517660616,230169834,703398962,930830949,89349991,73245564,117853156,10836443,842309398,581781568,771652922,261569962,125779591,543351246,994562433,463878752,479764742,181523752,933427601,436343804,325944806,835948704,330734210,261263278,155686133,108552719,398644945,683447201,762347760,890770125,2543570,822248764,681803183,99572627,39358405,741905043,885093805,26179277,832781630,783161033,605507652,745788955,727857475,397510222,367860562,799917998,757621927,674918615,399990754,902661792,745644621,274957336,732788189,655507371,170084296,473936667,652060907,30100180,647228331,912931306,110898876,32904974,263329744,295428969,955196031,235663084,867563600,160801103,781801691,147128877,949007028,154582256,28829082,190729756,584037585,220395121,28373797,612989846,367657805,671599743,770536264,652629998,322458056,553916948,602717700,327774228,807026705,907412648,341893022,760724440,436557497,350301637,468835378,326318388,812231542,686026357,618572303,863248578,561890861,331334429,593838580,381506608,379047607,28043423,341267375,563371843,662101273,180421536,780622656,391845386,370694974,854956739,897347397,79661773,575545232,834490734,328018116,419702480,315310910,907942379,13619022,502756790,752608247,241646720,881841366,652960863,970657804,67567859,940143265,515961903,308268846,356031566,384668244,616153365,475908529,939524671,507843365,779487085,588270173,390926006,853109561,177659608,93488429,277261799,571753786,999183197,6719325,834315694,299775482,930491826,696995669,350619788,981413341,865530263,494070121,77118824,586798734,840473812,145961642,300413643,975049151,432212248,87851635,617875381,781029541,255818186,802305857,552168799,387266455,942790871,213394771,368986175,801276651,283354151,199634821,260313502,44990612,999502978,437761265,698873925,184457511,454775288,547089273,340990362,13489745,634211620,849231367,5159699,404062697,69533213,97681198,638148037,268068711,632896647,272313363,940284948,960597152,652355929,545292276,326112022,344772759,105348267,911745684,601609571,750325621,111592251,886275505,39422328,17871803,839435705,980790154,811567034,312785561,992747864,817460044,815261033,248114432,276355004,922883230,683790275,785832651,838648328,345328733,691612115,352074686,294043517,805181623,669951421,959843154,568238196,633174204,144477427,503252189,393388927,74215147,36066650,544781886,293230732,519391142,83144638,640099821,228816297,350857066,631901410,717104485,944555745,923879235,98568061,967533616,437528785,902770138,164342655,977645533,430929579,121678247,222431533,396075493,579271798,432873038,800504364,36809919,56549150,729019838,387971506,854351588,625925253,621804230,90860798,754034555,851235574,779425975,737898861,91477703,56984502,871250757,1264913,21042737,788463746,364002391,309377787,292855513,925450187,668368479,267561747,281139456,595593391,298067117,508721287,317289536,148587493,613126556,229981093,279090281,296954172,900662825,121231665,920892563,652178542,805980775,46107186,544375905,40926503,254553977,823403767,619844316,240997198,491833370,547172735,631547740,12089767,994888060,851456370,575218530,509307581,517475075,104082106,297117476,457512495,174224765,192604679,102865821,794743399,942942276,887904178,739406563,672463527,235603789,710299870,846176603,25873690,387521477,880336594,234774068,583613345,764763701,347507613,949289568,684167590,116179716,207503073,466958582,378805696,998933869,537642009,966438421,852063011,910567393,213815448,43432548,433761335,62800761,625826805,383811653,249409547,744218045,573369390,928687180,712126217,45671983,809305399,821587488,959113382,20912077,300615908,633626105,479311606,339250551,624762238,342855740,383342410,684111888,259446107,544321873,901001729,554685553,496103191,758489987,14493469,399314907,151235287,601826193,327374626,340732622,688307249,157341463,936684380,118784566,855040211,718283724,667701294,657903532,531069263,170619616,70126781,290290256,68225028,517947972,105273219,608654902,265888009,672121216,612496891,486815888,763947168,387002479,217365683,772418588,202042619,142175617,443132385,593016966,26104785,699718187,152789668,525962092,833826591,810720744,416000497,244112640,301459909,702876510,444069977,191690407,215469938,781463248,882359462,391866182,535569895,656560465,431554761,935439157,273407382,640201257,201111601,660383161,760623988,337490329,195168259,671887240,441017535,453517851,713177431,75130069,388906883,912814870,753963014,517790986,941251464,463785050,444859019,46931780,847344290,298291242,857394604,792953550,607783335,568373546,965799189,144881457,546833135,679068829,738209844,52910751,925700434,640399418,286349524,681517498,85062648,24313210,726357741,177933693,250225993,298779403,809752408,721124259,529872344,883106502,856300278,293155925,322670254,451149465,588604671,643372363,700346119,932890587,138759934,478621058,745858545,39463858,850305651,401108826,469756922,863350851,703876012,327633902,10748953,245206620,974431488,530842641,541899532,922477404,88118400,49453427,571591814,787201417,4183623,95562823,757804434,377455279,254333216,281324559,575021458,478779005,919549683,704026558,945141831,873694462,798896121,181927353,958420301,754727116,655732669,886509913,553976795,336030183,300250596,141823374,274300379,912997458,115565868,425475712,963139266,540609149,355875381,171060967,653767215,18434848,927569889,160037223,721746673,283923693,575477761,740528915,567689627,143377634,798089665,117950977,62637039,785279860,127312632,58871129,802825913,468175560,979635290,706235134,883431604,762915034,955272419,26193161,995668997,30692548,247700284,222933650,104296648,125924088,963402285,972509480,603687058,517255290,167688770,532040958,293242517,893427750,781376835,219697185,527666858,450472782,872866013,47190211,254649036,531166278,349684561,814076815,454132899,411555878,297734845,212206882,914792389,554338412,890272839,902634921,464891875,823393444,783255204,363527720,998099339,754839267,780616460,336610554,917784974,555348486,412697210,347569528,554741901,479018550,342897458,511929128,303107749,348355202,848528395,434516779,844688798,51469151,92523538,388366597,332362368,791354096,733326031,960266412,600914479,157886252,872568652,484675382,108250234,118050132,941774991,468770043,535377580,766235130,459083184,708458698,741249300,683518839,197353681,147355252,393546464,943427692,13910928,123647216,478427589,641344853,936002084,389431232,899265780,459788443,401939225,395317586,367112682,828856370,366217056,127884066,381562183,70247739,582226048,531306214,832350578,329702556,351212747,99960942,61194076,441656964,829187296,831797521,338975397,17875220,795805506,905315098,598625003,467520268,595600848,321639444,956300866,270585629,687129522,23262768,178471648,822662776,78248397,330592244,530942707,252531105,544745905,669889680,437996822,212645271,604693689,979101412,891503346,299918440,618362965,93164921,37755039,42507951,316087737,914804443,618536901,531139169,15617722,767040594,303792626,804245343,988247458,468550089,719876710,551187336,656269843,876800805,326570912,906220176,749055775,629415291,156109368,940170968,504753554,695714047,252524220,508744939,488598037,642065334,124526234,750619279,20258865,977387767,494116741,81176431,576610832,951086458,74408987,661744404,428467765,972770802,576128588,262649465,784479091,893979777,90170002,508670125,279726646,287079062,831522181,617175992,634793445,743457752,493679913,520776664,885109896,825956967,434193499,81360461,69437537,973974344,448969705,378462879,998415997,731693211,184206072,804749779,276933757,410569920,776475599,291374510,754199066,781579726,238604672,169767314,733090112,786270043,119203816,651389543,146292235,80835708,724568534,521332755,498375991,147722278,142893352,46464361,319170580,174281632,287996835,445271151,281933364,73498069,318379380,33840919,73839195,223244948,495208269,75794125,611267756,800377808,494083297,807528630,368206199,850468275,886983662,570385161,261210902,930228543,584663972,533636472,965855613,294159653,641599519,520490296,328031480,509906425,653199067,716935320,126263131,473452177,469644893,552266774,588326919,71919202,546704399,654631863,607332860,562321967,724198122,619513233,898422420,600119169,244983280,107578419,455621537,462602223,779674098,367972828,358246431,628466683,292863158,263408368,844281735,276658450,481681416,812588633,592627588,690730189,631345766,361082383,234618527,705729493,934124290,299308355,387966286,980268675,632672933,600770423,45527305,424369074,820645439,834932032,818171929,598487194,509866714,905006565,909143369,745918804,963414626,652155603,607155386,180435916,234623590,797486826,421870654,590357215,687447759,780465885,401824112,262706384,211374739,274660524,175893836,240898236,741197693,859757372,72627208,439831437,947812150,783191999,507155059,399958818,574129575,12070646,611753879,97432940,486990699,358805393,812553130,761768871,35217120,236510950,5096621,647600410,638382901,875267723,64201396,99681284,695774846,960604115,636596478,228069042,872562997,678247635,342919725,462955955,258066224,906448638,932790563,653304294,8683187,203257886,601346021,481445162,936920612,61180124,836952749,145076771,407344476,437590953,993839252,495234460,490261088,659287647,626130734,225834055,393812989,33389480,760410263,117761702,759081457,757198096,90954553,634425661,593119417,825846405,865826803,907395740,966453984,672239502,937129774,493120405,22751965,510019605,222583035,568265510,424018942,507653341,330010377,901825427,588127426,984288036,359152505,257544735,588708428,329843979,59052836,151438456,653619177,562213922,816733043,206369274,479461755,613548104,689636649,842283740,730572195,721441336,829180661,868449540,84624980,648215073,879331396,295312176,586662101,762397018,485941429,721746889,862843781,466863118,214053806,155112641,350337381,45635958,396485181,963542364,865760578,293471205,162335995,699569777,385246753,941855633,26261696,818758453,197788068,453636284,144533009,7293949,455556245,837059955,351579340,849331356,265866969,933983573,871066503,420884889,626179411,345904714,717243648,459062641,395843590,53091942,709135395,199697497,262668269,527431071,768884774,773694035,436046314,687796445,325405151,695265345,596731315,980732690,220885874,477115348,502402924,255155849,204075831,169975378,865373599,758268773,658378473,910799821,46875477,412333403,487004293,501599028,419875528,609798552,582539048,942577179,200381814,303887505,305490891,779057204,628807761,102518957,828222068,472803029,669163638,848266303,812640491,152941519,536751813,58257948,580399909,127615702,950565365,996973225,952933891,469823054,300964120,76309789,655088877,61308738,406688870,683463391,817495898,390734084,911089002,744333132,563271954,996553951,425907162,257555292,631884237,204829449,651371932,858424481,432840522,810560309,856082923,780664495,242402829,907374821,562163515,835013696,16934307,845272154,785509001,369017104,768176779,840120032,67454982,163656735,973466698,466677143,907378130,821874419,992187122,133891672,939565772,418891727,202947470,927513849,790272520,213720966,196770108,454886675,779774138,187281409,941090949,688411563,777409161,873231173,648990261,594212862,725995494,826710113,371656210,345919351,422954686,451638911,399309252,644097984,403261547,30750100,907379546,72239815,939500797,909797662,664817248,504537149,604021070,259420260,611302283,452188710,166762112,129379316,696366065,517035120,748294504,929395739,141295528,336508626,639341992,471908220,496783788,5929256,109090575,978885824,393979169,729860242,882345675,350084184,507692198,819832473,495969380,324558594,916980203,710083210,375891733,669684555,780223651,80607029,359887434,905018575,175994506,957914682,916412298,288737675,43406432,162774071,134519692,595721610,3662024,852886233,862263605,869738544,781951935,280260186,868917066,667199533,819946646,478158874,118174745,382873610,860727781,547653217,822418292,25379677,922599815,650627162,665732,321113672,348401438,630402462,327587761,227583538,898030789,169914437,223333171,531579499,945756743,255668785,819301179,672272705,980511066,687238025,301600639,986296355,679327444,362870071,612252004,937469853,684540915,7137163,553421033,424350669,237640672,30455664,566573672,461941414,823590928,908183417,31923929,957726824,600320913,788625413,177315749,284836116,600925089,798298905,65677576,143390720,755607688,555043304,468583492,458387922,801269520,311063992,78001167,205520141,143528215,323634035,460975518,835976261,653211129,831183478,32580705,370649843,369852723,482842410,329134901,303182512,628586012,523445002,119054118,643769620,824321664,476276000,82908491,98070938,266912415,195461769,225810469,941834950,919016274,527472991,808315256,889642329,709529616,686721196,150976778,195924769,818207977,678319295,883799876,830531152,759436371,753236704,950776945,534627417,910686395,368223451,652003946,752378035,873658559,771418398,223925762,838300765,70550569,405005978,449312605,289170851,571606280,878727493,758446367,625039650,933476236,185641281,265338051,23263761,977460277,131853501,177239684,249260940,929255633,660309409,703950399,28287170,675503915,16060922,677957255,839796259,920491985,216686814,999240701,234107109,370552584,332441659,887450552,380407691,815865797,507878696,789783112,186105252,828109836,97446341,880967583,62905455,798346658,374337244,452208758,495386413,256600543,488645050,664958798,32056452,295763797,485262441,657506774,859451763,684498252,119355183,856914225,352118990,386805816,267296130,202063633,998647475,98021615,141475641,486823634,7867973,919128790,612176836,934752899,664271502,780217163,900594232,725243872,805204536,726647896,402276851,73675026,580767992,50802461,101961959,410840953,963200102,210698348,638349889,781197177,137475940,583453298,553686021,386735522,631165445,622148070,226268677,50283240,44369289,640678861,419889931,659020449,203612462,775485421,148903667,273365418,171906512,181978428,170180152,657680639,302545716,426721938,453411994,548472050,285722925,800814555,523004676,520963984,788659952,456076941,768426744,44234183,546770815,230967288,99346665,720654662,230845990,629130005,611483877,791415614,927677072,352045213,772457850,90719648,834087630,846151172,699238888,864597813,282414648,677143957,518941098,648550903,564482130,56485107,928126641,140913948,466308790,243877803,313535875,687290822,920334063,338696836,783728056,833527243,943359844,674795522,327125209,851317050,790898193,427910505,130929872,117534392,214669821,251254858,910214407,46786992,242945720,205538039,39922242,768482410,37935149,957830011,860083320,633209344,314966427,160080554,5068132,510751574,71674938,787661232,996269166,113305800,196139482,87840208,861208159,61478813,198261304,649220263,897274337,161655706,852566275,852708857,879335054,621685380,263087812,863408478,923549847,940370373,118301612,324690441,139928075,512661402,137145026,257566368,254467241,281240552,546044592,532496807,5360490,695331635,533302414,412967114,356290083,734556371,61537262,209458763,231105814,62952415,272358328,772525527,170678460,735801812,784013968,915247034,346442198,231904726,668629021,397695460,839789134,173308527,364506076,34222942,244025768,787154637,61116923,874002237,157983012,536959498,177945470,823278467,6099843,115374268,679940436,817985012,275448981,129981417,301871400,665961924,805521040,119565591,924477998,527157905,296177816,877516455,588542959,200788276,256929291,366665471,759998572,412739730,6071302,408169794,521075639,889700099,759069348,653283728,617426966,979408602,238379066,802959942,576739654,140211485,30250077,113556455,9139694,607541889,350918866,643362412,870003543,822004748,827366690,569070596,721830530,618987133,145036996,158410266,201135777,17659305,42611987,657877751,878530529,501273811,755648132,46875143,468158706,833781088,939207982,262973558,180197267,963411252,468914979,240481784,270441009,545856676,455633438,635429835,443735293,787894210,674192408,870385513,647909747,611122456,615578829,402826308,956051225,943629033,549302422,152191712,125586750,472904342,598131985,831507292,198162107,111679497,134711267,897338516,393017618,979516601,874959375,870110898,102352012,614857708,217226102,566027801,14150152,251508685,45902598,175005429,985862281,374699638,541042551,654906054,559355773,110974445,968331493,359051760,630522955,304730401,874651776,284625312,195088667,388467853,867136693,987254115,774244778,47921142,413465930,600834718,50645133,712051601,918650227,251231138,385204136,613602087,538419805,947735845,441169950,364079544,801332261,333155666,964516084,200690166,397639294,790282267,356166417,96931493,572574261,205620006,228155186,219084443,37556513,669956660,266320746,204702708,279035551,537557000,372593913,907360408,296992626,184774453,988754429,646341796,272449974,431852017,765547114,455653173,445326037,461045180,105963459,553390742,912389525,879219684,14153611,21457101,866835861,932209863,66026085,421808333,872196606,953944985,392105806,211201548,533481920,817421245,105023958,903632181,41632558,305389569,890837959,331603700,168791944,349100887,100286509,342913393,802160403,881876610,836236443,254879116,660802927,680842704,377312105,738176597,964673635,29882095,168655971,661398051,432774238,582131731,635534895,542861035,91319100,322031513,745410799,523050174,217818130,271964484,175464637,708758035,549249832,951908089,651860364,884686263,1134896,228036796,38327130,822274549,282916945,339049838,491060826,529843200,881753600,223025791,322458407,261382033,912302527,24785097,432267393,850406857,675698488,988515613,456235477,59051024,650229008,177839846,257799726,712136175,217117556,897006590,166579771,737327678,65775487,81551797,893302591,117309513,831538348,460806833,491624105,212282019,416088911,94693522,766466013,684547322,744511399,72013297,633707703,292196425,391029783,320947184,784907024,389504851,857832983,478303596,634929764,10195287,741385909,131609584,240527798,904691944,462309024,120865579,756193563,13767180,195379307,655349585,839893172,298234900,855849308,555959406,308619413,856866643,473210522,666818969,341381285,107633383,739841331,386594279,534084774,952500532,756102475,689417195,604701541,618434285,355737406,454617527,418903054,876746330,627722994,883899977,401469087,602080319,898148909,827679206,249020102,285895522,848048108,867367220,261149548,45747959,65181111,107961285,123866544,475649887,951002988,146905291,467694764,973728531,730563197,428314983,761587336,551118690,593049534,780904160,12827720,252950439,429637180,697531085,283991269,624914945,256692015,185388069,611094331,231251697,716908007,137730151,245046585,105849779,955659016,480838292,269764251,488610961,309832682,319013678,562143702,301432804,209120435,281282735,874295065,811940535,606769098,57142154,616128371,849020857,745764175,798697551,869903294,140345894,900486291,477928786,987263771,11375420,619964357,961191189,803628475,172040302,317574757,925427473,622684805,778165717,362319266,684103149,157758824,450539585,378142643,69866750,689298790,221991267,864662329,496879102,323957402,14088386,708403352,751322066,479537062,571019743,377700987,221488149,319679932,90437572,979502799,573233981,870608772,803144176,627611622,764253377,672085772,212646210,283895536,823885630,111037932,644465283,879932904,172092056,588209182,766965245,224777000,544087478,589186070,925350937,623094895,770240938,567622166,173522847,420031253,744152268,170840006,375767907,22516478,697926128,699916101,325697006,608049927,627891875,245872960,289694776,937768219,462319548,216608416,467878185,700699069,194656072,586515013,874806524,551185547,808291563,177617797,553094583,115513759,179191062,164866712,679343996,308112205,174720774,589592038,293547279,311396294,733346983,13593045,731898664,602657183,105204137,533806595,884465697,485674901,224868878,78116516,998308725,582068219,315046893,620783824,912591868,219529933,544987400,126518852,861333840,120047791,967987412,666614096,963889943,375155270,893623847,322789951,196703420,839334288,710135879,905186098,493036672,898432495,119858870,799574080,379792238,885975853,400409283,688689376,683444878,690161195,80234343,982812904,255107232,887122588,518283071,473081079,635912076,623122894,851859557,506596631,271174566,252700020,779182435,973607466,105122196,89801492,192768051,152374809,669903149,367275421,619276038,25322307,833941329,820624764,311749271,566357205,948207336,194472722,265516015,521227518,314506095,488319010,538217763,468986007,220450701,160614915,526544326,784359843,655983066,28351039,42985772,18129666,941856149,910334509,698127148,204317083,970094576,61678399,620240859,592973363,655680651,724528618,249403415,66177577,296937365,790509693,344076948,380845307,694230913,932821451,257367692,873890073,451669430,932716951,610483693,80665493,941894616,836884482,732636174,361307846,531352328,691365811,21523313,333818794,258305839,708401740,385145697,334557828,748208857,876599090,966602362,328716365,718908562,773056303,683849416,961003614,49585164,759138096,612066044,876669842,80601278,266528601,167275562,141707585,732033420,920082623,67167621,107751958,907199053,219195152,75766421,289400094,880319028,135761394,456571825,154553171,673846720,340959714,70262880,322531028,834150118,997897466,146880515,900889629,90630481,778952407,584795812,821195559,195486474,570064361,26978173,846587676,398899331,568613813,764870261,254906737,32642525,388050003,333513800,975479324,218510483,768443550,488671908,626553749,117020755,34779238,493839034,182208594,972969763,34616493,380223045,538960519,503371837,691210367,171023399,422079712,286814220,424487195,922122158,738924737,868229932,510757485,202161093,375783253,271610870,670283891,844577774,799627859,125334950,339914146,68815094,829025627,200778482,852480068,979720045,973509420,824518378,666821550,604277451,667733781,800329655,327443814,347706800,687780742,408637444,767500535,395009134,8824902,940007289,685310882,721154429,502225272,921208612,530228208,590300458,430264586,204250103,986629833,808420919,504805097,757500657,801821831,28220971,66164332,346993060,72304628,344728971,36857048,3175924,472394935,92169265,769653287,65965678,314897175,288463883,601181932,570239707,496875518,497831374,408715748,201658487,769752678,346226040,447508812,64314175,316063907,800663852,372934160,317185926,111486382,950063543,183197921,181156529,148220101,513416377,75613712,989948469,809381119,603597759,997975504,470697762,473365265,397691882,99862880,314722661,446818965,800395473,334723047,154152191,755253092,430471315,673943459,555796641,867602444,289846013,100243609,628070766,422634268,220652514,324836578,266692207,102407758,461897659,120219001,622269125,78749453,308277874,932107074,614337716,570141034,605311136,442736566,357711393,427003389,351007818,415227317,713929764,989310721,336062896,746828909,267765425,854607652,302453454,950364490,133952754,326631245,128421400,258228003,484675305,176376103,876288008,151898213,247938896,829351610,756448724,179917040,890785035,425595032,36318999,980939718,487272466,552506531,3058245,964435746,484615841,420469931,577074108,922427017,820354264,64594533,599502482,726126443,516302836,25224341,776854079,189916267,882074377,264303184,485069185,155056620,810301641,467965264,124310969,308596684,450291148,796594486,725375723,494793934,723724295,982703271,95903539,189720051,216674255,954965437,307318733,762732073,536137384,670427182,209863533,427554460,115355595,887506503,291227187,765939889,429813212,711478948,502020696,692273415,131711583,718748512,769363628,928989254,497675878,491928053,113670898,612697949,658613792,726956420,604485631,925780283,265402980,303438168,825047463,626704009,752203180,244854201,511939692,448221046,693980440,846772101,245540804,494181830,821529149,367503263,305124963,446082456,132713709,266404348,37174059,390309740,783842144,647872816,975428728,915066198,240763349,928943215,745255960,745994031,265915903,366361042,333254321,594127680,675902845,819272927,36475816,534952569,51874255,179169208,366445028,767963146,57670216,656525280,630451601,501305178,805016351,34426867,663496822,961930989,338052002,373382376,588916255,568380267,323933730,420752166,138443603,360453961,914691863,129475189,443732190,122070758,420508009,676007351,574075962,433588527,704804429,597656138,667775167,711480868,431110530,596543867,737577520,407748451,564704069,476511114,494202646,934293822,249088176,863858010,173943943,806646130,245903820,731686497,888310090,60153136,407891529,249421455,992226626,478585977,354849088,979070170,436045412,619649327,699830308,263922803,758710116,553630215,728182959,834801410,355362230,358500102,673777190,185006843,356645991,220354792,74320232,727920357,624698317,718061189,372344714,230053191,758632923,265653725,781382385,18815310,76191897,61241013,860063344,971153859,333947781,258880559,414550228,293347822,601729421,851278713,638608624,643347398,453626671,853137707,295734741,795988573,241367817,986906792,392294713,323988429,742003273,796055262,88528144,310092912,213211622,925842225,376279601,692158144,727251591,520657412,151933265,579281464,287826946,217076577,865204716,114207293,456027966,676984068,744568237,758623630,876817368,16596897,641468719,173026368,977738789,58101825,229453612,497930335,155608146,560036838,777151770,266699600,697399132,470031817,848256930,135971092,604120287,487415289,299105304,956965477,934872782,816245098,134642098,67576862,521148489,951898128,531710900,973571147,166135469,145914124,994009347,115554051,981380591,542854298,546010093,194800541,609049202,697398439,157159314,844164236,640741566,933470549,586221052,246100695,423506346,209681550,255970112,846261931,231945881,145931689,73402566,469793077,958286891,707105894,69330479,273135265,895108389,924907288,153991670,270843564,868750071,889867049,26797919,521792235,823686813,787238941,138816617,17483670,118506143,343395846,609123310,463032443,179655945,58931218,12107735,446553379,941797092,550341910,30796484,144983746,866458050,967978298,121751131,306763009,177230881,308961773,118060619,216064686,534725961,737392274,430418760,594228686,219566756,982416931,842310249,945285664,658193690,364957206,623905965,973537944,535452536,550487850,702462448,70563259,598750618,985480827,292545921,615242422,471804827,883786558,61363155,609305680,735532102,189862924,479212373,485140732,433663019,277821755,298465935,440118930,100734788,518316660,4895681,306177065,761467333,808796007,471906729,981472621,98297081,891004063,605721453,418526290,516911690,781488275,997020069,555640464,586822188,154247027,38484461,404401001,777335953,54829763,397925511,391187113,289763170,491105850,969788201,412587517,519263767,428355896,161551391,41620798,781679865,126259869,366198821,690230939,827933158,385576589,231608703,242887563,987499762,950691328,74043965,328971985,920988563,427817779,733989025,805388847,406639061,394265637,977339288,341029237,98527599,276279270,356076811,392301297,842294982,167835792,686585025,118914670,136850681,618306421,980793372,521029011,336976146,834938942,847365637,929151126,874834874,427118199,704542249,552424108,434783460,905529502,726852478,2742244,961098133,389017169,997957022,704940740,137796580,740671384,313578321,260271860,286811921,639440814,985952440,117113721,626548526,699078424,432526166,94277281,352096930,762853759,77006242,45592259,22062007,858315706,456585263,653723087,492058875,887309463,106197182,364028827,655944326,906284184,518083769,797612162,129144587,732329862,877051946,559803013,757711997,262311210,514167648,651838173,826097042,94735162,830332325,677372501,202333862,55298115,333657570,503567405,180086814,385608457,702014411,40968963,602118070,960765600,711283617,436684519,30919197,336228650,166463267,620008191,207317032,228284747,783199976,788043489,165646081,18194087,647254026,1823099,588459917,738241589,892156714,116034248,89167915,887510844,759119709,787968104,984506189,337478663,462266627,111811898,691045312,227324864,7347663,722515809,834434580,757367515,254612781,835021991,691243860,8279800,645583386,790911504,800329957,675218730,469080868,896629341,220370114,50790954,384698417,302688956,966543523,267489759,796805677,640428627,837673151,696092032,253613989,306557951,854574708,857566419,726486707,768006861,766618301,995179295,205525275,238947881,323572960,956725034,869692799,614174485,69713676,363888036,911653395,488977250,258593424,795581292,223767118,926609254,349471337,704759548,409500674,879439407,564349087,139244156,207120996,411896070,453998111,132984112,225657553,833582714,384966538,232516823,534057372,305956363,274835151,799572109,504973442,993818135,747723586,103065976,726445754,98392231,32237871,131173106,627433912,297616363,793197584,643071336,602943845,64313501,464557016,976450405,321706306,702891295,953155982,93700079,385067591,585890062,696941175,772032689,100307061,381992000,885845945,752820440,285228433,533689908,954209323,583016594,129369053,449814115,426872220,765527641,322401117,874002637,77773302,853185070,517167846,265116473,622822627,532729226,433975690,328383236,425921253,782738023,939632197,425242621,870398735,231052844,513198904,231808501,556495662,887074364,528990818,904935131,168906933,755181646,338458455,877016386,715182664,641133844,340470042,846481483,381800844,462420544,749820876,939827908,567056822,838492264,330250344,264348480,228002208,76095284,28530699,47257901,887503995,787407829,15983818,888405627,740850289,133502987,462913493,364170704,383340425,935000501,604092918,488611454,330169664,572318145,718619303,959357051,690642536,873020987,466936785,472282687,539875542,542866127,703472855,292223971,262314351,923292239,2608769,918560146,930468721,541216832,733219610,389042305,448229245,885798768,834669473,123565446,248112067,596745013,800068310,146118865,772162807,620953539,455950702,927694028,783166843,257519589,251318171,115685423,463969143,447164810,891868078,539194444,178654407,44936566,579775108,526057627,933515873,363648942,558653501,731823898,222758673,380089997,752533103,188100605,920822291,656810967,716399397,963702468,651444529,70028402,796444429,218435145,665762901,658239423,879994500,85935264,95836082,623279667,316523435,983137175,506815629,218247181,833609939,500685610,173739749,14591764,547824806,287118380,477601753,523737105,806969289,219584492,610342035,326168981,11159360,828597597,832514244,899245870,645793531,599222382,165816450,747898454,174393002,687277376,722654033,530113946,90801132,191748222,671163011,380567230,904457224,823476948,857836637,890625689,204367449,961707799,301227773,261028571,899479705,734232576,638494682,311095824,565470054,670092101,512873223,510102461,941594173,652930704,513540451,932892386,653037147,326062674,322383902,404173842,840677566,192454688,153264054,965613228,568085467,325246899,253752817,609631536,869225059,162178052,254554840,693680098,659152680,788239015,546858231,614754985,873616706,286921505,970696047,650747935,375575264,57553585,126309070,931262836,261153019,794375252,63713418,911076743,404182185,316172916,491957325,17370979,757095598,141156322,311226020,283113778,700199609,375121801,408176820,774458930,181302606,217805162,201055723,328451893,591373725,7127093,129041963,634375453,873441499,403473741,21316931,361194382,626334121,293965290,200953792,191589027,519816374,14409316,195077225,434177354,123927718,25479523,528042380,534458077,709332739,17083251,566724576,922556599,467543962,664494457,224512911,193588339,862743355,509252835,757284486,614715254,762242728,798887523,212068363,592047105,105429681,470234896,729511132,389940435,968130120,41745200,563614542,879980076,882784328,740348697,59863785,106920246,577894037,710898819,810444706,974618264,879450069,130892177,687273038,709679692,660944408,44212594,435615182,775495933,966624627,624082300,811819362,627726253,429746873,864451226,634390303,499078261,616173946,317117873,302026673,489799326,97486109,41749155,466727621,739763990,825014142,247920673,349357924,390855892,712376595,796384612,948457471,892966168,91611643,183427654,992399948,475838680,796718928,203254070,138285398,712964673,710900438,683245971,217544523,494204029,523491646,365936435,390678729,175659471,598028999,946804520,167407918,828212457,889379779,763684710,44853734,209917686,773541949,983267772,205394091,151754236,421011463,48050534,392679555,402448240,542527478,557490328,440992980,519248858,554591511,490277180,321447571,753975946,940098233,702304214,469224538,571584890,830001345,340597497,833660983,145944146,98649480,581693045,489117661,78261234,88303801,88076833,658227111,243810461,589368679,422463915,407048880,990078158,1646385,253273316,80974863,514338923,70643149,643013849,198891153,126421904,267759077,429547306,126751279,700146498,595945573,79173284,969485957,702008961,512279452,139737947,995651721,788582655,350590670,188647053,295101987,659640538,97207258,724453757,688599603,778370217,67675145,707993786,894194755,35279586,580741419,122275162,495543500,117789606,496522580,676243912,988881512,478328282,196868932,572749147,458238947,443168126,519002909,466675952,998341141,27807170,702468369,360746645,568104502,760960293,893708519,644392678,926039664,817828210,433483952,659211466,165815258,451241196,551671955,663583853,775688888,306124507,91477673,932069128,92557221,844425285,542397909,476321511,793066397,974558804,833754985,316402601,356056253,889383946,864279698,874457965,85741837,442977616,22126986,610723398,798958191,212712326,554951671,257351201,529289970,629422022,459108872,95780072,986045896,335558232,389606020,266574428,983302608,417804034,492659581,399077530,314147085,438022693,477378573,162579894,326893321,763922397,67822164,885168603,566293141,961841049,970225136,372621033,781904016,677600894,590906467,909602624,227026146,163129135,548368385,839867899,959878516,56812694,138753574,734134752,37323853,501757647,842737560,748492885,389505751,354847280,849755280,19451867,123916754,525166027,654188105,978183096,351093150,972970582,621338780,798794178,572905848,803209951,845301812,766737732,389226624,846689398,413625069,490586639,631586826,378589688,836557811,298154316,31550638,575857436,884666977,338329041,666289992,845821941,672345682,498434266,485997262,316901288,362517089,858639832,568635741,9090826,828720586,464542139,819450928,845756338,139284947,822868503,927587461,768173705,686644380,553145604,987085641,712869100,437206790,554208782,216837812,550494128,218573020,994172585,197382209,846614905,844381101,495973807,923473273,770064470,474553276,582607329,928170141,198273723,267529348,162448742,602663051,887820245,894542273,143165078,222754070,270134085,369397216,383752744,923638922,833746924,464643367,939053018,625039551,138250407,684754564,653888083,77584811,153381605,267764306,55548030,670665762,713113377,250746560,796781822,574872096,137396558,97992218,643567908,769303843,238318228,885306077,344078609,455908651,481375148,390467196,756403596,250543363,254106239,305312370,697823345,185632939,303466665,520706244,305341095,724350281,330350566,694065866,566795840,348183995,973341959,16460408,946195946,726690204,233492455,624485263,190103870,898798914,198358000,115599517,397641714,828132695,411507287,63544983,742148282,30747595,416763103,17061113,257557708,186461406,4381305,644934287,510791642,797186850,812005925,696888993,414092524,180144570,775829679,472129826,164432295,124786350,821282266,136591359,759397016,797603163,538060212,152939272,798360892,457545364,371090318,877856063,650137909,267614336,910958341,137198102,127223669,865663889,463612153,722878747,416860024,740218237,328572624,471695065,809298608,234445342,494969084,937480286,109402336,508398900,550558476,514396704,63571165,310028486,608824330,101996740,239543383,561300118,760193553,952610873,769173707,921348646,685616635,559924838,367054628,213039820,239553880,155826009,405177463,892816871,165333212,861353313,193064920,513180677,856568067,745043189,258049110,381746855,511605606,900978508,834569510,421154462,161473798,929148617,90201051,551338129,27633110,732930346,567842006,298074047,1061767,630751244,202262528,694784735,337164707,886779822,102165902,247984353,683751371,17868734,66707208,911196892,974790711,467095017,463151314,735745658,123272806,66558913,954851456,350711835,689025441,728753691,917114605,907930175,794367978,696555265,653040327,906160420,671969,360875573,920652157,211872763,567621380,103294387,295031015,674135555,853107515,791207260,841335217,433337896,493999494,917674277,102757610,984274533,285666066,730585897,868368289,743806716,412141593,80202822,2894317,212704744,649931404,255365633,313685806,57933498,751608290,478281542,654923284,950451286,692620740,596616388,160419153,46210776,188926596,964312106,143496799,220148206,620414542,636565605,198643734,241261660,21423809,955518731,982878300,256641267,277847645,781043200,188913749,963564460,72169654,288319234,453077058,294041022,486306069,862077662,582894124,469603475,372667901,795305584,883613340,888285083,744274749,230977391,394997360,584484381,111381748,326008895,934960997,410164758,387971230,379021857,89999435,932886172,850820290,98082169,482434330,731406663,80051257,235153814,551501099,332408719,460504015,757752949,315714874,514811747,770188234,337533536,918171607,849308811,962738467,79384221,525260160,152481736,449726429,197314406,729327155,912930763,964585211,959032990,388299826,837934198,73094022,86580961,712637327,337805083,74470135,282166411,500303093,202276840,422866592,462574912,895787247,172947364,266965779,133405502,452639847,530245110,495993423,711736866,430833794,344794436,778557454,236165920,296516385,928083184,721813371,626895607,334164694,757739740,76926176,991331464,450533354,601875907,587611810,578297095,282886288,992919626,17055335,435660600,841076708,900875499,615910406,905587496,20607533,744540748,396195846,198834249,339249619,924658827,397500918,972423757,703444685,382701100,859700130,487786229,872686668,416271639,151574597,717666364,607258443,192804477,111339181,709842838,59855303,119634771,221165364,741157331,553124437,769473048,36283976,754532711,316554063,612759022,364676254,952562009,659775602,594203749,216948367,895494634,49958794,880355483,655447460,33189964,531341583,47018871,808704953,332814977,64930670,268305305,104414182,394472951,369342489,508366358,91994217,736286325,413432634,56421862,924155515,871671908,610408886,809497240,151925139,156884821,69211297,717002155,264498705,811653080,295444967,872828141,772742151,2910625,888805674,940999907,139491555,805927478,919907330,574867984,723666476,259617368,211003894,814240874,390931485,225288853,382652870,902921942,180436558,775491531,836499188,794889727,148307509,743133254,943530540,673922848,296438452,921465662,690898376,941480058,178485806,24988052,41105869,566754804,263921946,117178904,268360622,998806275,56929072,17814973,800348333,390747312,158210081,169622296,839333568,391427233,568298410,512771163,6333082,662796781,688238601,152014612,577838084,32606580,65628863,594178982,489494432,777780790,794114241,637476519,463183641,980617724,590345065,96063030,972079773,299720498,5947571,882637955,480118213,454519875,781375564,450705388,394333747,914562362,158195536,53375101,154000616,705878779,961408382,15632383,886323930,102313130,460533131,84552090,727327845,296900214,547541480,441032744,668576080,182563663,885540950,813397672,706980309,932364125,481102131,805772216,785175579,233764608,83790441,741292334,135692340,463074050,444629406,418755944,974950203,482567032,280357469,343538375,761359174,226518203,231881262,499679633,108103116,468336777,486045075,397679194,269300791,817146553,720667336,673511261,583468462,371033467,896974405,445142947,665599231,547893885,379383735,50065911,736135676,955318528,445399543,96709177,315582246,707721876,413582734,276204150,168041196,317484854,688147993,426522346,685888134,326492050,355362028,140993932,229407599,828694266,815370575,198776499,33615986,443816851,390899006,341787982,8619930,188170422,788267709,771804672,994544201,128082287,286070813,34746808,997596079,910233063,338130218,54153119,484192666,531752610,529787106,281815334,19622006,983208319,390728415,949600968,565254116,947056289,192627962,679798517,892485443,359712490,973679665,85091031,856757172,961031659,546766553,686316518,439984944,218706028,911397368,260540520,330397271,890384500,66171949,558784781,956412660,674835188,319607901,965521925,998987708,586013621,883377831,286909577,213260217,486323908,188960244,63815362,542384865,474142085,856411791,397136228,24630246,66583431,321205559,276337667,926031342,67256766,162607461,975309678,337990656,971663879,963880255,527931718,107448285,862164120,485420821,498184932,329430212,506005578,226605309,990684303,197156963,600110734,139011527,882391905,932559910,681284484,964627503,786920815,332881913,653270238,760650532,451306042,272187923,21941107,631982892,648867886,812644549,441579689,547202413,801881283,910528597,489667908,271762765,150412289,352857974,69728686,754271998,33012629,638060805,881490999,564982984,784912553,467860359,851650436,756894983,145355806,445821172,559871909,207055706,909071422,483304288,712896515,737886345,310878070,519491242,622683601,36072199,966379128,909956258,193312624,947985441,598636237,378499003,612612633,364262151,568070387,348109005,763433617,617876187,804931332,93795279,422138047,864439232,617060142,168934003,839528052,689295804,619629266,71533724,221128224,55517596,152521769,651069803,72130098,484446624,523105504,922383299,784839316,616070091,188683647,508264634,553522608,331571129,428219380,517121904,450123087,778073195,978229342,60746178,847353292,335736934,858032328,490854259,823395619,39470445,237959695,911597306,343791770,624599490,304869348,886099067,989967748,907556134,243094930,396906672,93376627,987734109,651490166,662316069,914084805,562757970,942284017,950512074,888011331,470368951,150312256,232758642,254627966,967857221,706896740,459409863,332347746,512287938,760035301,364776562,694333266,507137931,742656128,612430431,352795536,622907655,695419941,565110511,663636147,723143820,717213617,218478822,720022337,937529862,780770012,473435823,154749909,431310644,501085449,203969105,427353285,844437744,743299363,201509207,322504359,813086507,222867930,930882769,70735391,533865755,668408365,361384871,828176481,8591962,206749836,555037000,680646693,721042082,443522281,216478942,242086189,160837557,14178399,803102443,730102881,445089362), 72504) + } + +} diff --git a/convert_an_array_into_a_2d_array_with_conditions/.DS_Store b/convert_an_array_into_a_2d_array_with_conditions/.DS_Store new file mode 100644 index 0000000000000000000000000000000000000000..3c2c53b4bdf46b0d91fb35ff74f7eed7f545b576 Binary files /dev/null and b/convert_an_array_into_a_2d_array_with_conditions/.DS_Store differ diff --git a/convert_an_array_into_a_2d_array_with_conditions/haskell_tests/Main.hs b/convert_an_array_into_a_2d_array_with_conditions/haskell_tests/Main.hs new file mode 100644 index 0000000000000000000000000000000000000000..a268805f3b35c5fd81961f4d899b0601ce1f7e87 --- /dev/null +++ b/convert_an_array_into_a_2d_array_with_conditions/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 (findMatrix [1,3,4,1,2,3,1])," [[1,3,4,2],[1,3],[1]] (findMatrix [1,3,4,1,2,3,1])) + +test2 :: Test +test2 = TestCase (assertEqual "for (findMatrix [1,2,3,4])," [[4,3,2,1]] (findMatrix [1,2,3,4])) + + +-- Grouping test cases +tests :: Test +tests = TestList [TestLabel "Test1" test1] + +-- Running the tests +main :: IO Counts +main = runTestTT tests diff --git a/convert_an_array_into_a_2d_array_with_conditions/java_tests/Main.java b/convert_an_array_into_a_2d_array_with_conditions/java_tests/Main.java new file mode 100644 index 0000000000000000000000000000000000000000..4331a1aa77f06dec6b4da067f017b14a915c2d07 --- /dev/null +++ b/convert_an_array_into_a_2d_array_with_conditions/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(new ArrayList<>(Arrays.asList(new ArrayList<>(Arrays.asList(1,3,4,2)),new ArrayList<>(Arrays.asList(1,3)),new ArrayList<>(Arrays.asList(1)))), findMatrix(new ArrayList<>(Arrays.asList(1,3,4,1,2,3,1)))); +} +@Test +public void test2() { + assertEquals(new ArrayList<>(Arrays.asList(new ArrayList<>(Arrays.asList(4,3,2,1)))), findMatrix(new ArrayList<>(Arrays.asList(1,2,3,4)))); +} + +} diff --git a/convert_an_array_into_a_2d_array_with_conditions/meta.json b/convert_an_array_into_a_2d_array_with_conditions/meta.json new file mode 100644 index 0000000000000000000000000000000000000000..c2286f83023544389036a4dabf5a00b5a6607bd2 --- /dev/null +++ b/convert_an_array_into_a_2d_array_with_conditions/meta.json @@ -0,0 +1,2509 @@ +{ + "id": 2724, + "name": "convert_an_array_into_a_2d_array_with_conditions", + "difficulty": "Medium", + "link": "https://leetcode.com/problems/convert-an-array-into-a-2d-array-with-conditions/", + "date": "1679788800000", + "task_description": "You are given an integer array `nums`. You need to create a 2D array from `nums` satisfying the following conditions: The 2D array should contain **only** the elements of the array `nums`. Each row in the 2D array contains **distinct** integers. The number of rows in the 2D array should be **minimal**. Return _the resulting array_. If there are multiple answers, return any of them. **Note** that the 2D array can have a different number of elements on each row. **Example 1:** ``` **Input:** nums = [1,3,4,1,2,3,1] **Output:** [[1,3,4,2],[1,3],[1]] **Explanation:** We can create a 2D array that contains the following rows: - 1,3,4,2 - 1,3 - 1 All elements of nums were used, and each row of the 2D array contains distinct integers, so it is a valid answer. It can be shown that we cannot have less than 3 rows in a valid array. ``` **Example 2:** ``` **Input:** nums = [1,2,3,4] **Output:** [[4,3,2,1]] **Explanation:** All elements of the array are distinct, so we can keep all of them in the first row of the 2D array. ``` **Constraints:** `1 <= nums.length <= 200` `1 <= nums[i] <= nums.length`", + "public_test_cases": [ + { + "label": "Example 1", + "input": "nums = [1,3,4,1,2,3,1]", + "output": "[[1,3,4,2],[1,3],[1]] " + }, + { + "label": "Example 2", + "input": "nums = [1,2,3,4]", + "output": "[[4,3,2,1]] " + } + ], + "private_test_cases": [ + { + "input": [ + 9, + 12, + 16, + 14, + 13, + 16, + 3, + 13, + 3, + 16, + 6, + 14, + 9, + 15, + 4, + 3 + ], + "output": [ + [ + 9, + 12, + 16, + 14, + 13, + 3, + 6, + 15, + 4 + ], + [ + 16, + 13, + 3, + 14, + 9 + ], + [ + 16, + 3 + ] + ] + }, + { + "input": [ + 50, + 171, + 12, + 21, + 97, + 73, + 43, + 32, + 130, + 53, + 124, + 178, + 35, + 84, + 150, + 165, + 162, + 104, + 184, + 89, + 46, + 95, + 25, + 95, + 63, + 105, + 111, + 73, + 160, + 32, + 139, + 43, + 117, + 70, + 33, + 115, + 31, + 182, + 151, + 149, + 70, + 150, + 109, + 37, + 128, + 184, + 11, + 105, + 162, + 181, + 3, + 97, + 17, + 96, + 144, + 133, + 3, + 119, + 78, + 198, + 48, + 9, + 5, + 60, + 124, + 138, + 41, + 79, + 88, + 102, + 171, + 129, + 134, + 143, + 117, + 185, + 21, + 191, + 118, + 146, + 142, + 135, + 190, + 177, + 29, + 125, + 104, + 70, + 6, + 25, + 127, + 43, + 13, + 167, + 163, + 193, + 85, + 13, + 83, + 95, + 78, + 140, + 91, + 35, + 67, + 28, + 160, + 143, + 8, + 54, + 81, + 29, + 142, + 167, + 110, + 46, + 188, + 40, + 155, + 141, + 153, + 5, + 164, + 77, + 1, + 7, + 82, + 180, + 80, + 82, + 194, + 135, + 76, + 149, + 21, + 12, + 31, + 181, + 183, + 23, + 71, + 158, + 127, + 157, + 86, + 103, + 88, + 154, + 33, + 172, + 6, + 149, + 50, + 161, + 99, + 88, + 97, + 162, + 72, + 8, + 148, + 122, + 33, + 164, + 135, + 166, + 21, + 14, + 161, + 15, + 30, + 12, + 65, + 196, + 85, + 115, + 164, + 75, + 84, + 93, + 178, + 72, + 102, + 190, + 85, + 63, + 150, + 198, + 49, + 120, + 13, + 71, + 76, + 65, + 70, + 74, + 160, + 6, + 22 + ], + "output": [ + [ + 50, + 171, + 12, + 21, + 97, + 73, + 43, + 32, + 130, + 53, + 124, + 178, + 35, + 84, + 150, + 165, + 162, + 104, + 184, + 89, + 46, + 95, + 25, + 63, + 105, + 111, + 160, + 139, + 117, + 70, + 33, + 115, + 31, + 182, + 151, + 149, + 109, + 37, + 128, + 11, + 181, + 3, + 17, + 96, + 144, + 133, + 119, + 78, + 198, + 48, + 9, + 5, + 60, + 138, + 41, + 79, + 88, + 102, + 129, + 134, + 143, + 185, + 191, + 118, + 146, + 142, + 135, + 190, + 177, + 29, + 125, + 6, + 127, + 13, + 167, + 163, + 193, + 85, + 83, + 140, + 91, + 67, + 28, + 8, + 54, + 81, + 110, + 188, + 40, + 155, + 141, + 153, + 164, + 77, + 1, + 7, + 82, + 180, + 80, + 194, + 76, + 183, + 23, + 71, + 158, + 157, + 86, + 103, + 154, + 172, + 161, + 99, + 72, + 148, + 122, + 166, + 14, + 15, + 30, + 65, + 196, + 75, + 93, + 49, + 120, + 74, + 22 + ], + [ + 95, + 73, + 32, + 43, + 70, + 150, + 184, + 105, + 162, + 97, + 3, + 124, + 171, + 117, + 21, + 104, + 25, + 13, + 78, + 35, + 160, + 143, + 29, + 142, + 167, + 46, + 5, + 82, + 135, + 149, + 12, + 31, + 181, + 127, + 88, + 33, + 6, + 50, + 8, + 164, + 161, + 85, + 115, + 84, + 178, + 72, + 102, + 190, + 63, + 198, + 71, + 76, + 65 + ], + [ + 70, + 43, + 95, + 21, + 149, + 88, + 97, + 162, + 33, + 135, + 12, + 164, + 85, + 150, + 13, + 160, + 6 + ], + [ + 21, + 70 + ] + ] + }, + { + "input": [ + 86, + 6, + 164, + 100, + 131, + 10, + 109, + 115, + 66, + 45, + 155, + 151, + 106, + 90, + 60, + 16, + 115, + 46, + 16, + 25, + 152, + 51, + 26, + 14, + 8, + 22, + 21, + 59, + 49, + 141, + 19, + 118, + 69, + 108, + 81, + 122, + 88, + 34, + 148, + 32, + 115, + 19, + 171, + 147, + 72, + 80, + 133, + 65, + 134, + 28, + 73, + 24, + 79, + 113, + 90, + 55, + 37, + 5, + 84, + 3, + 160, + 53, + 25, + 132, + 109, + 51, + 92, + 63, + 70, + 107, + 84, + 161, + 60, + 36, + 141, + 75, + 61, + 145, + 99, + 15, + 2, + 163, + 13, + 165, + 76, + 77, + 86, + 151, + 112, + 151, + 60, + 22, + 114, + 47, + 69, + 3, + 31, + 142, + 38, + 130, + 174, + 89, + 127, + 68, + 14, + 92, + 62, + 87, + 152, + 22, + 168, + 40, + 87, + 62, + 58, + 168, + 98, + 18, + 75, + 176, + 164, + 141, + 25, + 141, + 52, + 118, + 149, + 8, + 108, + 27, + 85, + 45, + 126, + 56, + 127, + 122, + 99, + 114, + 89, + 1, + 30, + 135, + 47, + 168, + 141, + 117, + 22, + 95, + 139, + 125, + 113, + 129, + 71, + 19, + 157, + 28, + 71, + 161, + 151, + 58, + 173, + 113, + 135, + 146, + 151, + 78, + 112, + 160, + 59, + 89, + 63, + 81, + 23, + 164, + 47, + 110, + 93 + ], + "output": [ + [ + 86, + 6, + 164, + 100, + 131, + 10, + 109, + 115, + 66, + 45, + 155, + 151, + 106, + 90, + 60, + 16, + 46, + 25, + 152, + 51, + 26, + 14, + 8, + 22, + 21, + 59, + 49, + 141, + 19, + 118, + 69, + 108, + 81, + 122, + 88, + 34, + 148, + 32, + 171, + 147, + 72, + 80, + 133, + 65, + 134, + 28, + 73, + 24, + 79, + 113, + 55, + 37, + 5, + 84, + 3, + 160, + 53, + 132, + 92, + 63, + 70, + 107, + 161, + 36, + 75, + 61, + 145, + 99, + 15, + 2, + 163, + 13, + 165, + 76, + 77, + 112, + 114, + 47, + 31, + 142, + 38, + 130, + 174, + 89, + 127, + 68, + 62, + 87, + 168, + 40, + 58, + 98, + 18, + 176, + 52, + 149, + 27, + 85, + 126, + 56, + 1, + 30, + 135, + 117, + 95, + 139, + 125, + 129, + 71, + 157, + 173, + 146, + 78, + 23, + 110, + 93 + ], + [ + 115, + 16, + 19, + 90, + 25, + 109, + 51, + 84, + 60, + 141, + 86, + 151, + 22, + 69, + 3, + 14, + 92, + 152, + 87, + 62, + 168, + 75, + 164, + 118, + 8, + 108, + 45, + 127, + 122, + 99, + 114, + 89, + 47, + 113, + 28, + 71, + 161, + 58, + 135, + 112, + 160, + 59, + 63, + 81 + ], + [ + 115, + 151, + 60, + 22, + 141, + 25, + 168, + 19, + 113, + 89, + 164, + 47 + ], + [ + 141, + 22, + 151 + ], + [ + 141, + 151 + ] + ] + }, + { + "input": [ + 83, + 84, + 61, + 81, + 111, + 33, + 38, + 190, + 69, + 149, + 157, + 147, + 171, + 57, + 46, + 178, + 50, + 115, + 106, + 160, + 33, + 136, + 45, + 46, + 53, + 69, + 94, + 156, + 172, + 94, + 78, + 25, + 10, + 5, + 139, + 65, + 18, + 146, + 53, + 11, + 127, + 14, + 25, + 77, + 100, + 147, + 3, + 168, + 38, + 162, + 4, + 187, + 113, + 176, + 89, + 11, + 100, + 139, + 119, + 2, + 80, + 46, + 168, + 120, + 62, + 120, + 63, + 118, + 17, + 126, + 21, + 85, + 89, + 183, + 132, + 81, + 15, + 165, + 145, + 69, + 86, + 23, + 99, + 74, + 25, + 38, + 169, + 68, + 128, + 128, + 145, + 144, + 78, + 134, + 6, + 150, + 22, + 158, + 174, + 5, + 188, + 67, + 178, + 155, + 6, + 139, + 54, + 25, + 15, + 88, + 139, + 79, + 181, + 159, + 58, + 106, + 78, + 21, + 60, + 35, + 46, + 100, + 124, + 159, + 68, + 120, + 3, + 152, + 8, + 51, + 183, + 141, + 174, + 103, + 25, + 188, + 20, + 17, + 46, + 112, + 25, + 22, + 66, + 32, + 57, + 181, + 5, + 145, + 59, + 34, + 95, + 96, + 58, + 100, + 46, + 71, + 142, + 96, + 95, + 177, + 135, + 168, + 184, + 98, + 128, + 41, + 109, + 5, + 104, + 116, + 87, + 36, + 37, + 91, + 188, + 2, + 147, + 110, + 156, + 162, + 3, + 75, + 96, + 176, + 24, + 57, + 93, + 98, + 24, + 143 + ], + "output": [ + [ + 83, + 84, + 61, + 81, + 111, + 33, + 38, + 190, + 69, + 149, + 157, + 147, + 171, + 57, + 46, + 178, + 50, + 115, + 106, + 160, + 136, + 45, + 53, + 94, + 156, + 172, + 78, + 25, + 10, + 5, + 139, + 65, + 18, + 146, + 11, + 127, + 14, + 77, + 100, + 3, + 168, + 162, + 4, + 187, + 113, + 176, + 89, + 119, + 2, + 80, + 120, + 62, + 63, + 118, + 17, + 126, + 21, + 85, + 183, + 132, + 15, + 165, + 145, + 86, + 23, + 99, + 74, + 169, + 68, + 128, + 144, + 134, + 6, + 150, + 22, + 158, + 174, + 188, + 67, + 155, + 54, + 88, + 79, + 181, + 159, + 58, + 60, + 35, + 124, + 152, + 8, + 51, + 141, + 103, + 20, + 112, + 66, + 32, + 59, + 34, + 95, + 96, + 71, + 142, + 177, + 135, + 184, + 98, + 41, + 109, + 104, + 116, + 87, + 36, + 37, + 91, + 110, + 75, + 24, + 93, + 143 + ], + [ + 33, + 46, + 69, + 94, + 53, + 25, + 147, + 38, + 11, + 100, + 139, + 168, + 120, + 89, + 81, + 128, + 145, + 78, + 5, + 178, + 6, + 15, + 106, + 21, + 159, + 68, + 3, + 183, + 174, + 188, + 17, + 22, + 57, + 181, + 58, + 96, + 95, + 2, + 156, + 162, + 176, + 98, + 24 + ], + [ + 46, + 69, + 25, + 38, + 139, + 78, + 100, + 120, + 5, + 145, + 168, + 128, + 188, + 147, + 3, + 96, + 57 + ], + [ + 25, + 139, + 46, + 100, + 5 + ], + [ + 25, + 46 + ], + [ + 25, + 46 + ] + ] + }, + { + "input": [ + 72, + 34, + 31, + 75, + 38, + 65, + 77, + 95, + 77, + 9, + 93, + 3, + 59, + 22, + 73, + 7, + 35, + 45, + 91, + 56, + 22, + 28, + 69, + 23, + 86, + 98, + 78, + 3, + 103, + 39, + 95, + 21, + 99, + 3, + 83, + 5, + 18, + 26, + 83, + 89, + 96, + 89, + 16, + 3, + 65, + 30, + 62, + 43, + 44, + 43, + 41, + 92, + 74, + 74, + 81, + 5, + 30, + 66, + 87, + 83, + 20, + 44, + 31, + 43, + 42, + 44, + 100, + 26, + 99, + 34, + 48, + 6, + 18, + 46, + 70, + 23, + 47, + 28, + 99, + 49, + 75, + 20, + 85, + 37, + 14, + 74, + 4, + 4, + 12, + 64, + 88, + 76, + 34, + 89, + 86, + 91, + 48, + 23, + 15, + 5, + 33, + 29, + 29, + 18, + 60 + ], + "output": [ + [ + 72, + 34, + 31, + 75, + 38, + 65, + 77, + 95, + 9, + 93, + 3, + 59, + 22, + 73, + 7, + 35, + 45, + 91, + 56, + 28, + 69, + 23, + 86, + 98, + 78, + 103, + 39, + 21, + 99, + 83, + 5, + 18, + 26, + 89, + 96, + 16, + 30, + 62, + 43, + 44, + 41, + 92, + 74, + 81, + 66, + 87, + 20, + 42, + 100, + 48, + 6, + 46, + 70, + 47, + 49, + 85, + 37, + 14, + 4, + 12, + 64, + 88, + 76, + 15, + 33, + 29, + 60 + ], + [ + 77, + 22, + 3, + 95, + 83, + 89, + 65, + 43, + 74, + 5, + 30, + 44, + 31, + 26, + 99, + 34, + 18, + 23, + 28, + 75, + 20, + 4, + 86, + 91, + 48, + 29 + ], + [ + 3, + 83, + 43, + 44, + 99, + 74, + 34, + 89, + 23, + 5, + 18 + ], + [ + 3 + ] + ] + }, + { + "input": [ + 150, + 72, + 67, + 64, + 173, + 164, + 132, + 158, + 137, + 85, + 171, + 170, + 142, + 76, + 28, + 121, + 24, + 23, + 1, + 125, + 100, + 105, + 14, + 27, + 57, + 155, + 73, + 168, + 124, + 63, + 66, + 97, + 58, + 6, + 62, + 109, + 55, + 113, + 143, + 18, + 88, + 53, + 153, + 92, + 86, + 170, + 177, + 23, + 137, + 60, + 175, + 130, + 83, + 158, + 30, + 143, + 182, + 20, + 135, + 102, + 107, + 129, + 175, + 91, + 32, + 164, + 149, + 40, + 100, + 126, + 87, + 154, + 165, + 115, + 93, + 85, + 64, + 102, + 47, + 43, + 156, + 94, + 1, + 13, + 117, + 2, + 55, + 45, + 41, + 180, + 7, + 118, + 12, + 97, + 3, + 2, + 49, + 33, + 45, + 112, + 141, + 41, + 54, + 77, + 50, + 95, + 167, + 72, + 148, + 66, + 91, + 127, + 46, + 159, + 13, + 42, + 70, + 79, + 45, + 161, + 79, + 48, + 159, + 53, + 180, + 68, + 61, + 55, + 91, + 29, + 114, + 26, + 29, + 155, + 155, + 155, + 48, + 88, + 141, + 74, + 90, + 163, + 105, + 181, + 95, + 144, + 107, + 173, + 123, + 116, + 47, + 163, + 13, + 114, + 70, + 164, + 28, + 161, + 152, + 108, + 44, + 175, + 22, + 132, + 120, + 99, + 12, + 143, + 123, + 129, + 132, + 16, + 164, + 147, + 181, + 100, + 131, + 168, + 41, + 30, + 137, + 28, + 40 + ], + "output": [ + [ + 150, + 72, + 67, + 64, + 173, + 164, + 132, + 158, + 137, + 85, + 171, + 170, + 142, + 76, + 28, + 121, + 24, + 23, + 1, + 125, + 100, + 105, + 14, + 27, + 57, + 155, + 73, + 168, + 124, + 63, + 66, + 97, + 58, + 6, + 62, + 109, + 55, + 113, + 143, + 18, + 88, + 53, + 153, + 92, + 86, + 177, + 60, + 175, + 130, + 83, + 30, + 182, + 20, + 135, + 102, + 107, + 129, + 91, + 32, + 149, + 40, + 126, + 87, + 154, + 165, + 115, + 93, + 47, + 43, + 156, + 94, + 13, + 117, + 2, + 45, + 41, + 180, + 7, + 118, + 12, + 3, + 49, + 33, + 112, + 141, + 54, + 77, + 50, + 95, + 167, + 148, + 127, + 46, + 159, + 42, + 70, + 79, + 161, + 48, + 68, + 61, + 29, + 114, + 26, + 74, + 90, + 163, + 181, + 144, + 123, + 116, + 152, + 108, + 44, + 22, + 120, + 99, + 16, + 147, + 131 + ], + [ + 170, + 23, + 137, + 158, + 143, + 175, + 164, + 100, + 85, + 64, + 102, + 1, + 55, + 97, + 2, + 45, + 41, + 72, + 66, + 91, + 13, + 79, + 159, + 53, + 180, + 29, + 155, + 48, + 88, + 141, + 105, + 95, + 107, + 173, + 47, + 163, + 114, + 70, + 28, + 161, + 132, + 12, + 123, + 129, + 181, + 168, + 30, + 40 + ], + [ + 45, + 55, + 91, + 155, + 13, + 164, + 175, + 143, + 132, + 100, + 41, + 137, + 28 + ], + [ + 155, + 164 + ] + ] + }, + { + "input": [ + 4, + 16, + 14, + 9, + 19, + 20, + 19, + 14, + 25, + 24, + 12, + 11, + 12, + 11, + 3, + 6, + 21, + 11, + 11, + 21, + 17, + 22, + 2, + 10, + 2 + ], + "output": [ + [ + 4, + 16, + 14, + 9, + 19, + 20, + 25, + 24, + 12, + 11, + 3, + 6, + 21, + 17, + 22, + 2, + 10 + ], + [ + 19, + 14, + 12, + 11, + 21, + 2 + ], + [ + 11 + ], + [ + 11 + ] + ] + }, + { + "input": [ + 105, + 77, + 46, + 80, + 80, + 72, + 23, + 1, + 31, + 76, + 86, + 100, + 20, + 89, + 113, + 42, + 114, + 34, + 29, + 50, + 94, + 36, + 65, + 102, + 35, + 2, + 116, + 33, + 65, + 46, + 12, + 108, + 23, + 106, + 66, + 6, + 10, + 94, + 55, + 43, + 51, + 83, + 12, + 110, + 42, + 38, + 50, + 54, + 51, + 5, + 116, + 49, + 53, + 35, + 47, + 10, + 35, + 87, + 47, + 98, + 55, + 30, + 51, + 66, + 2, + 73, + 111, + 50, + 62, + 101, + 89, + 111, + 47, + 62, + 88, + 96, + 14, + 72, + 15, + 112, + 54, + 115, + 91, + 96, + 101, + 2, + 46, + 101, + 87, + 19, + 84, + 39, + 110, + 98, + 84, + 46, + 23, + 65, + 91, + 39, + 52, + 77, + 52, + 82, + 92, + 111, + 106, + 97, + 24, + 29, + 8, + 75, + 97, + 42, + 4, + 116 + ], + "output": [ + [ + 105, + 77, + 46, + 80, + 72, + 23, + 1, + 31, + 76, + 86, + 100, + 20, + 89, + 113, + 42, + 114, + 34, + 29, + 50, + 94, + 36, + 65, + 102, + 35, + 2, + 116, + 33, + 12, + 108, + 106, + 66, + 6, + 10, + 55, + 43, + 51, + 83, + 110, + 38, + 54, + 5, + 49, + 53, + 47, + 87, + 98, + 30, + 73, + 111, + 62, + 101, + 88, + 96, + 14, + 15, + 112, + 115, + 91, + 19, + 84, + 39, + 52, + 82, + 92, + 97, + 24, + 8, + 75, + 4 + ], + [ + 80, + 65, + 46, + 23, + 94, + 12, + 42, + 50, + 51, + 116, + 35, + 10, + 47, + 55, + 66, + 2, + 89, + 111, + 62, + 72, + 54, + 96, + 101, + 87, + 110, + 98, + 84, + 91, + 39, + 77, + 52, + 106, + 29, + 97 + ], + [ + 35, + 51, + 50, + 47, + 2, + 46, + 101, + 23, + 65, + 111, + 42, + 116 + ], + [ + 46 + ] + ] + }, + { + "input": [ + 100, + 3, + 86, + 59, + 53, + 40, + 17, + 31, + 1, + 136, + 79, + 134, + 93, + 12, + 28, + 67, + 32, + 95, + 94, + 85, + 53, + 16, + 15, + 59, + 56, + 37, + 129, + 63, + 75, + 74, + 66, + 84, + 25, + 102, + 113, + 51, + 57, + 52, + 33, + 38, + 65, + 28, + 133, + 99, + 21, + 96, + 89, + 111, + 85, + 6, + 53, + 113, + 132, + 20, + 5, + 36, + 48, + 86, + 42, + 39, + 99, + 31, + 35, + 138, + 41, + 19, + 73, + 94, + 129, + 12, + 19, + 133, + 141, + 81, + 56, + 41, + 70, + 107, + 114, + 108, + 37, + 98, + 76, + 22, + 71, + 124, + 51, + 129, + 103, + 48, + 138, + 13, + 67, + 117, + 126, + 82, + 102, + 120, + 105, + 117, + 10, + 34, + 20, + 136, + 124, + 132, + 48, + 43, + 30, + 116, + 138, + 124, + 77, + 141, + 108, + 123, + 110, + 116, + 117, + 35, + 125, + 38, + 16, + 77, + 56, + 92, + 23, + 103, + 110, + 15, + 105, + 53, + 58, + 87, + 67, + 72, + 62, + 134, + 42, + 41, + 56 + ], + "output": [ + [ + 100, + 3, + 86, + 59, + 53, + 40, + 17, + 31, + 1, + 136, + 79, + 134, + 93, + 12, + 28, + 67, + 32, + 95, + 94, + 85, + 16, + 15, + 56, + 37, + 129, + 63, + 75, + 74, + 66, + 84, + 25, + 102, + 113, + 51, + 57, + 52, + 33, + 38, + 65, + 133, + 99, + 21, + 96, + 89, + 111, + 6, + 132, + 20, + 5, + 36, + 48, + 42, + 39, + 35, + 138, + 41, + 19, + 73, + 141, + 81, + 70, + 107, + 114, + 108, + 98, + 76, + 22, + 71, + 124, + 103, + 13, + 117, + 126, + 82, + 120, + 105, + 10, + 34, + 43, + 30, + 116, + 77, + 123, + 110, + 125, + 92, + 23, + 58, + 87, + 72, + 62 + ], + [ + 53, + 59, + 28, + 85, + 113, + 86, + 99, + 31, + 94, + 129, + 12, + 19, + 133, + 56, + 41, + 37, + 51, + 48, + 138, + 67, + 102, + 117, + 20, + 136, + 124, + 132, + 141, + 108, + 116, + 35, + 38, + 16, + 77, + 103, + 110, + 15, + 105, + 134, + 42 + ], + [ + 53, + 129, + 48, + 138, + 124, + 117, + 56, + 67, + 41 + ], + [ + 53, + 56 + ] + ] + }, + { + "input": [ + 12, + 1, + 2, + 8, + 11, + 17, + 12, + 6, + 10, + 6, + 14, + 17, + 4, + 11, + 10, + 2, + 10, + 11 + ], + "output": [ + [ + 12, + 1, + 2, + 8, + 11, + 17, + 6, + 10, + 14, + 4 + ], + [ + 12, + 6, + 17, + 11, + 10, + 2 + ], + [ + 10, + 11 + ] + ] + } + ], + "haskell_template": "findMatrix :: [Int] -> [[Int]]\nfindMatrix nums ", + "ocaml_template": "let findMatrix (nums: int list) : int list list = ", + "scala_template": "def findMatrix(nums: List[Int]): List[List[Int]] = { \n \n}", + "java_template": "public static List> findMatrix(List nums) {\n\n}", + "python_template": "class Solution(object):\n def findMatrix(self, nums):\n \"\"\"\n :type nums: List[int]\n :rtype: List[List[int]]\n \"\"\"\n " +} \ No newline at end of file diff --git a/convert_an_array_into_a_2d_array_with_conditions/ocaml_tests/main.ml b/convert_an_array_into_a_2d_array_with_conditions/ocaml_tests/main.ml new file mode 100644 index 0000000000000000000000000000000000000000..1b52ef2a7f71e84c2e012ae449200febbe071517 --- /dev/null +++ b/convert_an_array_into_a_2d_array_with_conditions/ocaml_tests/main.ml @@ -0,0 +1,26 @@ + +module Main = struct + open OUnit2 + + (* Program start *) + + (* Program end *) + + (* Test cases *) + +let test1 _ = assert_equal [[1;3;4;2];[1;3];[1]] (findMatrix [1;3;4;1;2;3;1]) + +let test2 _ = assert_equal [[4;3;2;1]] (findMatrix [1;2;3;4]) + + + (* Grouping test cases *) + let suite = "Test Suite for findMatrix" >::: [ + + "test1" >:: test1; + "test2" >:: test2; + ] + + + (* Running the tests *) + let () = run_test_tt_main suite +end diff --git a/convert_an_array_into_a_2d_array_with_conditions/scala_tests/MySuite.scala b/convert_an_array_into_a_2d_array_with_conditions/scala_tests/MySuite.scala new file mode 100644 index 0000000000000000000000000000000000000000..98f0f1e08fdeb66ec5c86a8ea23d11255961ac86 --- /dev/null +++ b/convert_an_array_into_a_2d_array_with_conditions/scala_tests/MySuite.scala @@ -0,0 +1,12 @@ + +class MySuite extends munit.FunSuite { + + test("test1") { + assertEquals(Main.findMatrix(List(1,3,4,1,2,3,1)), List(List(1,3,4,2),List(1,3),List(1))) + } + + test("test2") { + assertEquals(Main.findMatrix(List(1,2,3,4)), List(List(4,3,2,1))) + } + +} diff --git a/count_alternating_subarrays/haskell_tests/Main.hs b/count_alternating_subarrays/haskell_tests/Main.hs new file mode 100644 index 0000000000000000000000000000000000000000..ab39b3ae166df3ed5d5a073f18bb79972dd5a47d --- /dev/null +++ b/count_alternating_subarrays/haskell_tests/Main.hs @@ -0,0 +1,41 @@ + +module Main where +import Test.HUnit + +--Program start +countAlternatingSubarrays :: [Int] -> Int +countAlternatingSubarrays nums = undefined + +--Program end + +-- Test cases + +test1 :: Test +test1 = TestCase (assertEqual "for (countAlternatingSubarrays [0,1,1,1])," 5 (countAlternatingSubarrays [0,1,1,1])) + +test2 :: Test +test2 = TestCase (assertEqual "for (countAlternatingSubarrays [1,0,1,0])," 10 (countAlternatingSubarrays [1,0,1,0])) + +test3 :: Test +test3 = TestCase (assertEqual "for (countAlternatingSubarrays [1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1])," 125514 (countAlternatingSubarrays [1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1])) + +test4 :: Test +test4 = TestCase (assertEqual "for (countAlternatingSubarrays [1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1])," 148279 (countAlternatingSubarrays [1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1])) + +test5 :: Test +test5 = TestCase (assertEqual "for (countAlternatingSubarrays [0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0])," 12163 (countAlternatingSubarrays [0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0])) + +test6 :: Test +test6 = TestCase (assertEqual "for (countAlternatingSubarrays [0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0])," 103283 (countAlternatingSubarrays [0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0])) + +test7 :: Test +test7 = TestCase (assertEqual "for (countAlternatingSubarrays [0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1])," 12572 (countAlternatingSubarrays [0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1])) + + +-- 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